Iteration 5891225 Graph #1: Original: 3y20 4x110 5x102 5y1 7y51 8x46 9y34 11y91 13x5 15y25 17x97 24y63 25x3 25x9 26x64 26x106 27y52 27y92 28y72 29x27 30y74 32x88 32x4 35x29 37x73 37x54 40y44 40y5 41y22 43x108 43y96 45x50 46x89 47y13 49x106 49x60 53x22 53y104 55x85 57y87 57y66 60y89 60y78 61x101 62x105 63x19 64x108 65x60 66x66 66y56 68x16 71x35 72y23 75y71 75y14 75x61 75y98 77x74 81y54 81y39 82y53 82y92 84x98 84y72 85y32 85y71 85y101 85y27 86x21 87y3 88x83 88x94 89x32 90y41 91y106 91x34 91x60 92y73 95x43 97x23 98y11 99x91 100x88 100x12 103y111 103x83 105y33 108y51 108x43 112x12 113x5 Reduced: 1x1 1y5 2x5 2y3 3x6 4x3 4y6 5x2 5y2 6x4 6y1 Euler number: -5 Graph #2: Original: 1x51 2y76 4y67 4x11 4y48 5x72 6x37 8y102 8x46 10x33 10x2 11x8 13x22 13x119 14x123 14y101 16x62 16y12 19x1 19y79 20x81 20x127 21x12 21x18 22x99 23y26 26x49 29y59 30x82 31x109 34y124 36x7 37y58 39y119 42y105 43y94 43y5 45y28 45x87 46x126 48x51 49x55 49x14 50y4 50x3 50x35 50x92 52x73 52y115 52y17 54y34 59y24 62x51 63y117 65x98 66y34 67x120 67y54 68y116 68x110 69y29 70y32 71y30 73y40 74y93 75x108 75y123 76x69 77x59 77x66 77y10 80y103 81x45 82y127 83y123 83x27 85y80 85x45 86x98 88x16 88x63 89x23 92y13 93y29 95y90 95x86 97x6 97x25 100y121 104y73 105x40 105y97 106y88 106y45 106y43 106y59 107y95 109y121 109y13 109x112 110x87 110y2 112x68 113y119 113y40 114y44 114x66 115y93 115y79 116x47 118y99 119x53 120x85 123x18 124x14 Reduced: 1x8 1y2 2x4 2y8 3x6 4x2 5x5 5y1 6y4 7x1 7y6 8x10 8y7 9x7 9y3 10x9 Euler number: -6 Resultant Graph: 1x8 1y40 2x4 2y46 3x6 4x2 5x5 5y39 6y42 7x1 7y44 8x10 8y45 9x7 9y41 10x9 11x46 11y22 12x42 12y27 13x44 14x40 15x43 15y21 16y24 17x39 18x48 18y26 19x45 19y23 20x47 21x56 22x52 23x54 24x50 25x53 26x49 27x58 28x55 29x57 30x27 30y50 31x24 31y56 32x22 33x25 33y49 34y52 35x21 35y54 36x29 36y55 37x26 37y51 38x28 39x18 39y12 40x14 40y18 41x16 42x12 43x15 43y11 44y14 45x11 45y16 46x20 46y17 47x17 47y13 48x19 49x36 49y2 50x32 50y8 51x34 52x31 53x33 53y1 54y4 55x30 55y6 56x38 56y7 57x35 57y3 58x37 Euler number: -29 Ratio: 0.9666666666666667 --------------------------------------------- Iteration 5917959 Graph #1: Original: 2x48 2x48 5x40 6y26 7y31 7y23 8y3 9y49 11y40 15y47 15x67 16x10 19y66 19y57 20x55 23y20 23y26 23x31 24y24 28y32 29y43 32x8 33y9 33x48 34y52 34y13 36x11 38y38 39y64 39y28 39x56 39x43 40x51 42y36 43x19 44x36 45y67 46y41 48y17 48y7 48y55 50y55 51x59 52x17 53y44 54y52 54x30 55x13 56y49 56y31 57y42 62x4 62y22 63y46 Reduced: 1x4 2x2 2y1 3x3 3y4 4x1 4y2 Euler number: -3 Graph #2: Original: 1x48 2x150 4y111 6x145 7y64 8y104 9y92 9y123 12y5 13x53 14y95 15x43 15x59 16y79 16y139 18y18 20y82 21y128 23y120 23x66 23x122 24x35 27y2 28y69 28y6 30x101 31y106 32x86 35y134 36x127 37y34 37y101 38y145 39x47 39x112 40x95 40x123 40x99 40x27 41x125 41x21 41y124 42x92 42x32 43x114 45y122 47x73 47x72 48y99 51x151 51y48 54x91 55x68 55y6 57x4 58y146 59x67 60y135 61y20 61x86 62x134 65x130 65x9 68y77 69x109 70x102 71x137 73x128 74y137 75x39 76y154 79y68 82x121 82y86 86x89 87x51 88y73 91y126 91x29 91y87 91y126 92x130 94x113 97y52 98y64 98y102 98y144 99y23 103x128 103x54 103x75 104x24 104y22 104y133 108x43 109y93 109y138 110y10 115y44 116y119 116x82 118x153 118x127 119y29 121x113 123x74 125y25 126y40 129x133 129x152 130y154 130x52 130x58 133y4 134x23 136x49 137x16 138x23 138x72 143x110 144y93 145x118 147y63 151y44 152y149 152y1 153x44 154y43 Reduced: 1x10 1y4 2x8 2y7 4x5 4y6 5x2 6x11 6y10 7x6 7y9 8x4 8y11 9x1 9y8 10x3 10y1 11x9 11y3 Euler number: -8 Resultant Graph: 1x42 2x40 4x37 5x34 6x43 7x38 8x36 9x33 10x35 11x41 12x21 12y4 13x19 13y7 15x16 15y6 16x13 17x22 17y10 18x17 18y9 19x15 19y11 20x12 20y8 21x14 21y1 22x20 22y3 23x31 23y36 24x29 24y39 25x26 25y38 26x24 27x32 27y42 28x27 28y41 29x25 29y43 30x23 30y40 31y33 32x30 32y35 33x10 33y15 34x8 34y18 36x5 36y17 37x2 38x11 38y21 39x6 39y20 40x4 40y22 41x1 41y19 42x3 42y12 43x9 43y14 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 5918060 Graph #1: Original: 1y51 2x33 3y17 3x47 4y31 4y37 5y52 6y18 7y24 8x29 9x31 10x97 15x60 16y15 16x49 18x27 19x17 21x49 22x94 24x98 26x72 28x48 29y17 31y4 31x34 31x62 33x66 35y47 35y67 38y75 39y73 39x43 40y69 41x71 43x82 44y63 44y51 45x83 46x35 47y32 47y23 48y42 49y73 50x79 50x43 54x36 56y12 57x97 57y37 58y8 59x93 60x96 60x99 61x48 61y52 64y52 64x46 65y47 71x35 72x13 73x11 73x91 73x27 75y29 78y61 79x21 80x52 80x93 81x25 83x16 84y51 84x58 87y97 88y89 89x5 90y32 91y65 91y96 93y58 94x39 94y1 94y33 95x4 96x87 96x13 97x33 99x57 Reduced: 1x7 2x8 2y8 3x6 4x13 5x14 5y1 6y14 7x12 8x11 8y2 9x4 9y3 10y5 11x5 11y10 13x9 13y11 14x2 14y12 Euler number: -6 Graph #2: Original: 1y3 1x16 1x14 3y7 3y6 6y9 7x6 8x36 9x38 9x24 10x14 11y41 14x34 16x19 17y32 17x15 18x22 20y22 21x18 21x35 22x34 22y32 23x20 24y14 24x13 26x17 27y14 27y11 28x36 29x1 30x38 32x32 32y39 34y31 35x8 36x33 38x9 40x29 40x29 40x22 41y6 Reduced: 1x1 1y3 2x3 2y5 3x2 4x4 4y1 5x5 5y4 Euler number: -4 Resultant Graph: 1x28 2x29 3x30 4x31 5x32 5y34 6x34 6y36 7x33 8x35 8y32 9x36 9y35 10x24 11x25 12x26 13x27 14x54 15x56 16x55 17x57 18x58 19x59 19y2 20x61 20y4 21x60 22x62 22y1 23x63 23y3 24y61 25y63 26y59 27y62 28x50 29x51 30x52 31x53 32x45 32y7 33x47 33y9 34x46 35x48 35y5 36x49 36y8 37x14 37y11 38x16 38y13 39x15 40x17 40y10 41x18 41y12 42y21 43y19 44y22 45x19 46x21 46y44 47x20 48x22 48y42 49x23 49y43 54x37 54y47 55x39 55y49 56x38 57x40 57y45 58x41 58y48 59x5 59y51 60x7 60y53 61x6 62x8 62y50 63x9 63y52 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 5950635 Graph #1: Original: 1x131 4x111 4y147 5y155 8x34 9x139 12y6 12y76 12x2 13y160 14x93 14y121 16y4 17y120 18y54 19y49 20y54 21y50 23y152 23y49 25y15 27x144 28x92 30y139 31x109 31y5 32y122 32y35 39y76 39y93 40y128 41x25 42x28 44y90 45y35 46y125 49y71 49x44 50x80 51x57 54y135 55y34 55y71 55x75 56y16 57y126 58x36 58x28 61y134 63y98 66y104 67y104 67x43 68y92 69y135 71x2 73y57 73y81 74y122 75x129 76y137 77y161 78y1 80y55 81x5 82y41 82y41 83x112 85x1 86y32 87y103 88y30 89y34 92y156 92x84 93x156 94x104 95x121 95y21 96y134 97x104 98y108 98x99 100y84 103y88 104y129 106x72 106x42 106x95 108x127 112y61 115x33 118x109 119y31 120y131 121y30 121y100 121x69 122y152 124y9 127x12 129x157 130x130 134y44 137y22 138y124 139y62 140x149 140x153 141y50 144y123 147x33 148x65 149y30 151x85 151y50 154x128 155x137 156x9 158y90 160x116 161y88 161x15 Reduced: 1x3 1y4 2y1 3x4 3y2 4x1 4y3 Euler number: -3 Graph #2: Original: 1y72 1x33 1y2 2x12 4x16 4y50 6x21 6y23 7y33 8y28 11y28 12y47 13y33 16x73 19y65 20x78 20y75 21y17 22y9 23x58 23x7 24y31 27x29 29x46 29x66 29y66 31x61 31x74 32y72 32x3 34y2 36y62 36y56 37x68 38y34 39x7 40x21 41y41 42x68 42x27 42x26 42y6 43y68 45x30 45x13 46x55 46x53 49y51 51y39 53y49 53y28 54y74 55x73 56y43 59y36 60x32 60y20 61x5 63y16 64y3 64y22 65x59 65x46 66y80 67y3 68y73 69x65 71y3 73x17 74y43 75x25 76y50 77y32 78x43 79x67 80x74 80x75 Reduced: 2x9 2y9 3x1 3y1 4x7 4y7 5y8 6x3 6y10 7x6 7y2 8x4 8y3 9x5 9y5 10x8 10y6 Euler number: -7 Resultant Graph: 2x27 2y37 3x19 3y29 4x25 4y35 5y36 6x21 6y38 7x24 7y30 8x22 8y31 9x23 9y33 10x26 10y34 11y9 12y1 13y8 14y10 15y2 16y3 17y5 18y6 20x37 20y17 21x29 22x35 22y15 23y16 24x31 24y18 25x34 25y11 26x32 26y12 27x33 27y13 28x36 28y14 30x9 30y27 31x1 31y19 32x7 32y25 33y26 34x3 34y28 35x6 35y20 36x4 36y21 37x5 37y23 38x8 38y24 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 5959059 Graph #1: Original: 1x22 4y2 4x95 5x99 5x116 8x95 11x20 11y48 13x31 15y62 17y134 18y70 19y5 21y61 21y29 23y75 24x15 25x103 29y112 29y125 32y138 34y107 37y131 41x10 41y118 42y103 43x121 44x7 44y41 44x51 45x113 46x53 48x110 48y113 50x73 51y35 53x106 54x10 54y52 56x62 57x116 57y118 58x60 58x48 59y62 60y63 62y9 63y84 64x134 65x127 67y42 68x130 69y16 69y128 73y73 73x32 73x3 73x33 75x44 75y34 76x48 76x129 77y59 79y89 79y23 79x139 79y47 80x75 84x58 85x44 88y79 89y125 91y1 91x95 91y63 91y125 91y104 94x9 95x2 97x55 100y126 101y50 101y11 102x125 105y57 106x108 107x50 109x68 112y130 112y111 115y94 117x22 118y108 121y13 124y25 125x16 126y25 127y48 127y38 131y89 132y127 132x29 135y82 135y118 137x89 138x113 138y108 139x107 140x6 140x57 Reduced: 1x4 1y3 2x6 2y4 3x5 3y5 4x3 5x7 5y2 6x8 6y1 7x1 7y6 8x2 8y8 Euler number: -7 Graph #2: Original: 2y29 4y108 5x48 5x121 6y101 6y51 7x133 8y118 9x125 9y3 9y55 10y113 11y103 13y85 18x122 18y59 18y96 22y63 23y119 23y107 26y68 26x116 26x122 27x86 27x50 28x76 28y70 29x89 31y22 34x109 37y44 38y123 39y119 40y59 40x8 41y26 44x123 46x18 47y22 48x55 49y50 49y91 50y76 51y65 53x125 55x67 57x17 57x10 57y101 58x127 61y75 65y15 68x20 68y115 68x67 72y83 73y24 73x24 74x18 77y26 77x55 78x29 79x52 79x120 80y18 82y41 83x20 86x69 87y69 88y11 89x76 89y82 90x46 91y64 95x39 96x127 96x80 98x40 99x39 99x112 99x64 102y53 105x73 106x89 107y62 107y13 108y113 108x29 111y15 111y14 115y51 115y33 116y84 116x126 118x60 119x55 119x113 120y112 121x129 121y19 128x58 128y34 129y60 131x55 132x106 Reduced: 1y5 2x9 3y8 4x2 5x6 5y4 6x3 6y3 7x8 7y2 8x7 8y9 9x5 9y7 Euler number: -5 Resultant Graph: 1x32 2y23 3x25 4x29 4y19 5x26 5y18 6x31 6y17 7x30 7y24 8x28 8y22 9x48 10y31 11x41 12x45 12y27 13x42 13y26 14x47 14y25 15x46 15y32 16x44 16y30 17x40 18y39 19x33 20x37 20y35 21x34 21y34 22x39 22y33 23x38 23y40 24x36 24y38 25x24 27x17 28x21 29x18 30x23 31x22 32x20 33x55 34y15 35x49 36x52 36y11 37x50 37y10 38x54 38y9 39x53 39y16 40x51 40y14 41x63 42y7 43x56 44x60 44y3 45x57 45y2 46x62 46y1 47x61 47y8 48x59 48y6 49x8 50y47 51x5 51y43 52x2 52y42 53x7 53y41 54x6 54y48 55x4 55y46 56x16 57y62 58x9 59x13 59y58 60x10 60y57 61x15 61y56 62x14 62y63 63x12 63y61 Euler number: -34 Ratio: 0.9714285714285714 --------------------------------------------- Iteration 6000867 Graph #1: Original: 1y52 2x22 7y67 9x70 10x22 10x56 14y38 16x5 16y32 17y45 17y49 18y56 21y51 24x36 27y65 28x18 29x52 29y30 29x49 30x20 31x76 31y12 32x77 33y53 34x42 36y71 36x64 36x64 37x1 38y64 39y38 39y23 40y51 40x2 40y40 40y39 41y26 42y58 44x1 45x45 45y3 48x46 49y24 50y64 50x53 53x54 55y76 57y51 58y69 60y32 61y32 61y15 62x47 62x1 66x68 67y22 67y33 69y52 70y42 70y69 71x69 78y22 78y68 78y71 78x41 79y43 79y79 Reduced: 1x3 1y4 2x5 2y2 3x2 3y6 4x4 4y1 5x6 6x1 6y5 Euler number: -5 Graph #2: Original: 1x61 1y32 2y55 2y9 2x97 5x96 8y8 9y112 11y135 12y103 15y95 16y35 17x91 19y82 19x47 20x122 24y132 26x75 28x40 31y125 32x118 36y76 36y59 37x135 37x50 37y67 37y121 37x112 41y27 41x94 42y93 42x56 43y85 43y143 44x96 45x96 47x39 48y128 50x94 51x94 52y31 53y25 53y11 56y69 58y24 60y10 60x90 61y29 61y58 62y21 64x67 65x3 65x131 67y41 69y44 70x83 71y98 71y111 72y57 73x63 75x129 76x43 78y61 79y47 81y130 82y15 82y21 82x138 83y105 84y6 86y73 88y27 90y60 92x62 93x22 96y75 101y10 101y100 103y44 104x138 105x137 107y96 107y82 107x113 110y31 110x145 110x94 113x67 115y34 118y114 119y80 119y147 121x53 121y117 121x126 124y147 128x140 129x136 129x49 130y101 130x74 131x32 132y138 133y77 133x117 134y114 134y79 134x94 137x78 138x83 140x109 142y28 142x122 143x55 144x116 146y53 147y55 147y105 149y143 Reduced: 1x4 1y5 2x1 2y3 3x6 3y4 4x5 4y1 5y6 6x2 6y2 Euler number: -5 Resultant Graph: 1x16 1y23 2x13 2y21 3x18 3y22 4x17 4y19 5y24 6x14 6y20 7x28 7y11 8x25 8y9 9x30 9y10 10x29 10y7 11y12 12x26 12y8 13x10 13y35 14x7 14y33 15x12 15y34 16x11 16y31 17y36 18x8 18y32 19x22 19y5 20x19 20y3 21x24 21y4 22x23 22y1 23y6 24x20 24y2 25x34 26x31 27x36 28x35 30x32 31x4 31y29 32x1 32y27 33x6 33y28 34x5 34y25 35y30 36x2 36y26 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 6015058 Graph #1: Original: 2y6 2y15 2y27 2x32 5x27 6x4 6x19 7y3 8x13 8y13 9x23 9x20 11y16 13x11 13y20 14x5 15x5 15x28 19y9 20x8 21x34 22y3 22y21 24y27 25x4 26x2 27x22 28y29 28y26 29y16 29y4 30y8 30y8 Reduced: 1x5 1y3 2x4 2y5 3x6 3y4 4x2 5x3 5y2 6x1 6y1 Euler number: -5 Graph #2: Original: 4x83 8x70 8y154 10y26 13y58 13y160 13y140 13x87 15y33 16x132 16y14 17y160 18x25 18x25 20y34 21x63 22y6 22y161 25y11 26y82 29x130 30x164 30y12 32y96 33x34 35x1 37x1 37y33 37y126 38x125 39x41 39x25 39x98 40y74 41y161 42y159 42x146 45x66 45x77 48y58 49x106 51x67 52x62 53x47 54x55 55y135 56y12 56x125 58y50 59x100 59x148 60x72 60x21 61x144 62x66 65y3 65x157 66x38 67y69 68x26 68y97 69y106 70x72 72x90 76y10 78x135 78y142 78y25 81y82 82x162 82x96 83x136 84x45 87y54 91y29 92x5 92y143 93x40 94y146 97y134 98x117 102x122 105x116 105x135 106y38 107x15 107x107 108x151 110y101 112y115 113y52 113x119 113y113 114x42 116x24 118x19 118x57 119y57 121x5 121x154 123x16 124y29 128x15 129y118 129y41 131y109 133y151 138x89 139x22 141y39 141x157 143x137 143y101 145y78 147x131 147y5 147x164 148y72 148x105 149y160 149y68 151x11 154y93 155x73 155y63 156y94 158x68 158y1 159y7 160y136 161y48 161x161 162y97 162x24 163y86 Reduced: 1x6 2x3 3x7 3y5 4x8 5x12 5y11 6x11 7y2 8x10 8y8 9x9 9y13 10x5 10y9 12x4 12y10 13x13 13y3 Euler number: -6 Resultant Graph: 1x41 2x44 2y24 3x45 4x48 5y21 6x47 6y26 7x46 7y30 8x43 8y27 9x42 9y28 10x49 10y22 11x32 12y43 13x35 14x38 15y40 16x37 16y45 17x36 17y49 18x34 18y46 19x33 19y47 20x39 20y41 21x50 22x53 22y34 23x54 24x57 25y31 26x56 26y35 27x55 27y39 28x52 28y36 29x51 29y37 30x58 30y32 31x12 32x15 33x16 34x19 35x18 36x17 37x14 38x13 39x20 40x22 41x25 41y14 42x26 43x29 44y11 45x28 45y16 46x27 46y20 47x24 47y17 48x23 48y18 49x30 49y12 50x5 50y4 51x6 52x9 53y1 54x8 54y6 55x7 55y10 56x4 56y7 57x3 57y8 58x10 58y2 Euler number: -29 Ratio: 0.9666666666666667 --------------------------------------------- Iteration 6021702 Graph #1: Original: 3y86 3y19 5y5 7y1 7y11 7y54 9y17 10y71 13x85 14y72 16x50 17x65 21x59 21x66 22x46 22x79 24y24 25x21 26y49 28y33 29y74 29y31 29y77 31y70 31x39 31x2 32x13 33y11 34x36 35x56 35y44 37y52 40y34 41x68 41x53 41y44 43y52 43x80 44x68 48x37 48y50 53x63 57x32 57x43 59x24 60y46 61y52 61y23 63y57 64x38 64x39 64y42 67y28 68x33 68y27 69x59 69y1 72x7 72y10 73y76 73y86 74y75 75x62 76y60 76x61 78x48 78y29 79y21 79y23 84x26 84y82 85x22 85y62 86x6 86y85 Reduced: 1x2 2y2 3x5 3y3 4x8 4y7 5x7 6x4 6y9 7x1 7y6 8x9 9x6 9y4 Euler number: -5 Graph #2: Original: 1x16 3x47 4x62 4x68 5y74 6x83 6x69 6y39 7x85 7x87 9x43 9y88 9x57 9y29 10x31 11x79 11x22 15x75 15y35 16x72 16y33 17y1 18y34 19x29 19x61 21y66 21x49 21y30 21x30 22x41 23x84 25y88 25y69 26x4 27x51 28x20 29x34 32x34 32x70 33x41 33y37 36x35 39x11 40y47 40x8 41x11 42y63 46y69 53x32 56y60 56y56 57x2 58x4 59y82 59y52 62y77 63y80 64x74 64x21 65y77 65x66 67x39 75y22 77x87 77x45 77y69 78x17 79y78 80y7 81x25 81x64 82y9 83y5 84x28 85x44 87x86 87x16 87y71 Reduced: 1x4 1y3 2x5 2y5 3x1 4x3 4y6 5x2 5y4 6x6 6y2 Euler number: -5 Resultant Graph: 1x10 2x11 3x7 4x9 5x8 6x12 7y9 8y11 10y12 11y10 12y8 13x28 13y15 14x29 14y17 15x25 16x27 16y18 17x26 17y16 18x30 18y14 19x46 19y39 20x47 20y41 21x43 22x45 22y42 23x44 23y40 24x48 24y38 25x40 26x41 27x37 28x39 29x38 30x42 31x22 31y51 32x23 32y53 33x19 34x21 34y54 35x20 35y52 36x24 36y50 37x4 37y33 38x5 38y35 39x1 40x3 40y36 41x2 41y34 42x6 42y32 43x52 44x53 45x49 46x51 47x50 48x54 49x34 49y21 50x35 50y23 51x31 52x33 52y24 53x32 53y22 54x36 54y20 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 6048624 Graph #1: Original: 1x96 2y103 4x17 5y32 5y31 8y72 11y22 11y111 12x101 14x54 16x48 19y77 20y114 22x28 22y72 25x71 26y80 26y73 26x113 27y11 27y103 28x93 30x34 31y48 33y36 35x41 36y89 37y8 37x57 38y23 38x1 39x63 41x8 44x53 45y87 46y49 46y108 48y98 49x74 49y63 53x85 55x91 56x9 57x78 59y51 60x27 62x21 62x51 64x38 64x105 65y117 65y117 66y45 67x95 67x45 68y110 68x98 69x29 69y33 75y105 77x40 78y70 78x11 78x15 78y10 79y97 80y3 81x27 81x73 82y91 85x23 87y80 87x12 87x87 89x6 90x36 92x115 93x24 93y100 94x5 94y41 95x109 98y38 100x65 102y1 103y106 103y5 103x41 103y24 104x76 108y72 108x76 110x105 110x83 112x20 113x53 114x119 114y34 117x39 118x25 119x109 120y114 120x64 121x66 122x19 122x38 Reduced: 2x2 2y6 3x4 3y4 4x1 4y2 5x10 6y7 7x8 7y9 8x9 8y8 9x7 9y10 10x5 10y11 11x3 11y3 Euler number: -7 Graph #2: Original: 1y26 1x11 1y5 1y26 2y21 3x2 4x2 5x8 5x13 8x26 9x21 9y20 11x13 11x1 12x3 12y20 16x6 17x7 17y13 18y2 18y7 20y20 21x14 22y25 24x17 25x15 25x15 26x22 26y28 27x26 28y4 Reduced: 1x5 1y4 2x1 2y2 3x4 3y5 4x3 4y3 5y1 Euler number: -4 Resultant Graph: 1x5 1y22 2x1 2y20 3x4 3y23 4x3 4y21 5y19 6x15 6y14 7x11 7y12 8x14 8y15 9x13 9y13 10y11 11y4 12y2 13y5 14y3 15y1 16x43 17x42 18x41 19y27 20y25 21y28 22y26 23y24 24x33 24y37 25x29 25y35 26x32 26y38 27x31 27y36 28y34 29x38 29y32 30x34 30y30 31x37 31y33 32x36 32y31 33y29 34x28 34y42 35x24 35y40 36x27 36y43 37x26 37y41 38y39 39y47 40x16 40y45 41x18 41y48 42x17 42y46 43y44 44x10 44y9 45x6 45y7 46x9 46y10 47x8 47y8 48y6 Euler number: -27 Ratio: 0.9642857142857143 --------------------------------------------- Iteration 6049254 Graph #1: Original: 1y76 2x34 4y59 4y3 5y126 5x152 6y96 7y115 9y47 10y5 14y102 14y156 16x95 18x84 19x44 20x3 21y10 21y101 23x33 24y131 24y112 25y15 26y68 27x1 27x97 28x99 30y146 33x126 33x87 33y148 35y105 36x101 36y8 39x70 39y122 42y92 47x71 47x64 48x38 49x100 50y72 50y53 51x56 54x152 55y29 57y32 59y98 60x43 61y141 61y87 62y58 63x130 65y60 65x126 66x99 67y4 67y107 69y101 69x43 69x22 71y58 72y24 72x87 73y152 74x71 77y96 80y33 81y67 81x143 83y67 86y155 91y133 91y11 93x16 93y75 94x96 94y7 97y82 98x67 99y79 99x54 100y155 102x71 103x33 103y63 105x84 105y137 108y124 109x13 111x21 112y144 114x54 114y20 114x123 115y117 117y37 118x75 118y98 120x104 123x2 124x15 126y135 127y94 127x52 127y1 128x58 129x26 130y6 130y25 130y93 134x42 135x36 135y65 136x8 136x76 137y155 137x89 138y96 139y50 142x155 142x82 144x98 146x64 146y125 146x25 147y151 147x35 148x4 149y109 149y22 150x18 151x44 151y153 151x27 151x122 153x83 154x111 Reduced: 1x5 1y10 2x3 2y2 3x1 3y12 4y8 5x11 5y1 6y5 7y4 8y9 9x6 9y11 10x9 10y3 11x4 11y13 12x8 12y6 13x10 13y14 14x7 Euler number: -9 Graph #2: Original: 1x91 2x50 4x30 4y57 6y52 7y80 10y81 11x56 12x11 12x63 14y58 18x80 20x80 22x75 25y70 26y24 26y74 27y7 30x30 31y23 32y82 32x42 33y48 33x91 34y1 36y69 37y68 38y29 38y85 38y42 38y43 39y53 39x58 40y48 41y18 43y58 44y11 49y80 50y45 52x74 52y94 55x34 55x82 55x81 56x36 57y62 58y67 59y49 60x39 60x15 61x49 65y5 66y23 67x63 70y84 70y49 75x88 79x83 80x44 81y44 84y65 86x26 87y39 87x29 87y37 87x22 88x72 90y19 90x71 91y81 91y85 92x67 93y5 94y94 94y6 95y27 95x36 Reduced: 1x4 1y4 2y1 3x1 3y5 4x3 4y3 5x5 5y2 Euler number: -4 Resultant Graph: 1x24 1y48 2y45 3x21 3y49 4x23 4y47 5x25 5y46 6x14 6y9 7y6 8x11 8y10 9x13 9y8 10x15 10y7 11x4 11y58 12y55 13x1 13y59 14x3 14y57 15x5 15y56 16y38 17y35 18y39 19y37 20y36 21x53 21y4 22y1 23x50 23y5 24x52 24y3 25x54 25y2 26y24 27y21 28y25 29y23 30y22 31y19 32y20 33y18 34y17 35y43 36y40 37y44 38y42 39y41 40x29 40y53 41y50 42x26 42y54 43x28 43y52 44x30 44y51 45x43 45y14 46y11 47x40 47y15 48x42 48y13 49x44 49y12 50x19 50y63 51y60 52x16 52y64 53x18 53y62 54x20 54y61 55x38 55y29 56y26 57x35 57y30 58x37 58y28 59x39 59y27 60x48 60y67 61y65 62x45 62y68 63x47 63y66 64x49 65x33 66x31 67x32 68x34 Euler number: -35 Ratio: 0.9722222222222222 --------------------------------------------- Iteration 6050934 Graph #1: Original: 2x3 3y33 5x3 5x24 6y3 7y54 9y12 9y13 10x6 11x11 13y51 14y11 14y39 15y44 16x22 16y20 16y36 17x53 17x16 18x7 18x8 19y4 19x39 20y49 20x43 20y43 21y7 22y18 25y25 27y29 28y40 29x52 29y25 29x15 29y27 31x23 31y46 33x43 37y15 39y38 43y1 43x16 44y12 46x25 51x50 52x36 52y11 53x8 Reduced: 1y7 2x5 2y3 3x3 4x2 4y4 5x6 5y6 6x7 7x1 7y5 Euler number: -4 Graph #2: Original: 5x6 8x47 9y1 10x22 14y98 17x131 18y99 19y112 19y32 21y63 22y81 23y44 26y100 28x92 28y38 29y49 31y11 31y27 31x35 32x128 32x120 32x67 35x33 36y68 38x38 39y22 40y1 43x8 45x67 45x2 47y9 49x30 53y78 57x78 57y53 58y109 58x113 62x129 63x56 63x22 64x31 64x5 64y53 66y124 66x94 67x49 70x109 72x129 76x76 76x17 76y92 77x32 77y2 77x53 78x69 80x92 80x61 80y81 82y53 82x108 84x114 84y43 87x26 88y57 90y3 90y93 91x12 92y53 94y54 94x21 95x77 96y4 96y132 97y131 99y122 101y77 102x89 103x128 103x3 105y94 107x21 110y73 112y86 113y27 114y106 114x74 115x55 116y124 119y100 120x126 122x14 122y121 122x113 124y28 126y127 127x28 128x112 129y57 132y82 132x71 133x60 Reduced: 1x7 1y5 2x1 2y4 3x3 3y1 4x4 5x6 5y7 6x5 6y6 7x2 7y2 Euler number: -6 Resultant Graph: 1y45 2y44 3y41 4y47 5y46 6y42 7x33 7y17 8x27 8y16 9x29 9y14 10x30 11x32 11y19 12x31 12y18 13x28 13y15 14x19 15x14 16x16 17x18 18x17 19x15 20x13 20y24 21x7 21y23 22x9 22y20 23x10 24x12 24y26 25x11 25y25 26x8 26y21 27x40 27y38 28x34 28y37 29x36 29y34 30x37 31x39 31y40 32x38 32y39 33x35 33y35 34x47 35x41 36x43 37x44 38x46 39x45 40x42 41x6 41y31 42x1 42y30 43x3 43y27 45x5 45y33 46x4 46y32 47x2 47y28 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6051895 Graph #1: Original: 1x56 1y160 1y87 2y124 4x33 4y3 5x89 5y51 7x111 7x104 12x146 12x97 14x116 14y84 15x40 17y150 18y96 18y106 21y107 23y103 25x2 26y35 26x159 26x118 28x9 28x62 28x53 29x92 30y134 31x51 32y89 32x25 34x104 35y103 38y138 39y145 43y108 44y172 44y95 45y63 46x169 47y155 49y142 51x63 51y25 52x142 53y31 55x143 56y122 56y134 57x153 57x58 59y13 60x151 62x135 62y153 64y136 65x20 66y57 68x10 68x150 70y13 72x20 74x85 74x74 80x98 80x13 83y141 86y6 86y151 87x6 89x39 90x84 91y169 93x18 93x143 95y27 97x168 100x106 103y34 107y126 107x84 110y45 110x43 111x45 112x167 112y132 114x69 117y165 117x163 118x160 119x101 119x95 119x133 120x90 121x71 122x73 123x2 123x160 124x150 125y157 126y59 131y26 133y52 133x30 134y57 135x78 136x97 142x152 146y1 146y105 147x137 147y164 148x84 148y36 148x9 148y154 150y63 151x99 153x68 153y103 155x67 155x65 158x96 159y125 162y45 164x79 164x2 165y164 166y43 167x98 167x64 170x12 172y83 Reduced: 1x5 1y9 2y3 3y6 4x11 4y8 5x7 5y11 6x3 6y4 7x4 8x10 8y7 9y2 10y10 11x8 11y5 Euler number: -6 Graph #2: Original: 3y110 4x103 5x144 5x76 8x118 9y6 10y107 11y3 11y60 13x21 16x128 16x71 18y96 18y139 19x25 22y61 26y112 27x47 27x62 29y24 29y44 29y110 30x47 32x90 33y35 34y72 34x93 40x125 45y36 50x8 50x133 52x27 52x120 52x28 53y93 53x121 55y112 55y27 57y102 58x118 58y20 59x131 62x39 63x122 65x59 65x124 66x26 66y50 68x50 70y77 71y21 73y97 76y76 76y88 77x76 78x132 78y77 83y25 84x36 85x30 85x90 85x68 88y116 89x115 89y77 90x140 91x110 93x111 93y118 94y79 94x149 96x119 97y35 100x68 100y14 101x117 103x56 104y23 105y35 106y137 106x8 107x94 115y102 115y93 116x16 117y106 118x28 120y58 120x103 122x88 123x80 124x12 125y9 126y26 126x125 130y82 131y11 131x39 132x82 132x114 135y4 136x33 141x138 141y7 144y50 144x42 145y6 146x83 146x19 146x147 148y81 149y79 Reduced: 1y4 2x5 2y3 3x4 3y2 4x2 4y1 5x3 5y5 Euler number: -4 Resultant Graph: 1x23 1y40 2x22 2y39 3x20 3y38 4x21 4y41 5y11 6y10 7y9 8y13 9y27 10y26 11y25 12y24 13y28 14y36 15x51 15y35 16x50 16y34 17x48 17y33 18x49 18y37 19y50 20x32 20y49 21x31 21y48 22x29 22y47 23x30 23y51 24y17 25x13 25y16 26x12 26y15 27x10 27y14 28x11 28y18 29x18 30x17 31x15 32x16 33y31 34x46 34y30 35x45 35y29 36x43 37x44 37y32 38y7 39y6 40y5 41y8 42y45 43y44 44y43 45y42 46y46 47y22 48x37 48y21 49x36 49y20 50x34 50y19 51x35 51y23 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6055719 Graph #1: Original: 1x5 1y133 4x91 5y156 5y152 6y147 6y134 7x9 7x18 12y15 13y51 13x4 15x140 20y38 27y108 28y109 29x133 32y88 34x42 34y70 35y93 36y133 36y115 38y80 38y91 39y140 39x2 43y70 43x101 46x22 47y123 49x59 49x101 49x103 52x134 53x79 54y33 55y148 55x155 58y73 60x79 61x114 65y85 66y76 66x65 68y41 70x108 70y81 72y107 72x19 72y144 72y77 74x141 74y26 75y4 75x40 79x151 79y156 79x147 80x41 84x27 84x28 84x35 85x86 86x5 87y117 89y41 90x17 91y41 93x142 94x141 96y112 96y145 97y139 98y123 100x87 100x104 101x86 104x54 105x59 107y123 109x125 109y133 110y156 111x38 112x133 114x118 117x106 119y64 119y5 119x124 119y110 124y88 124y147 125y118 126y29 128y152 129x34 130y2 131x150 131x98 131y36 134y110 136x22 138y111 138y6 138x1 139y130 140x20 141y135 145y30 145y76 145y16 146x66 149x114 150y31 150x42 151y45 152x43 152y55 153y57 154x5 157x144 158y22 158x92 Reduced: 1x3 1y6 2x8 2y1 3y5 5x4 5y4 6x1 6y9 7x2 7y2 8x9 8y7 9x6 9y10 10x7 10y8 Euler number: -7 Graph #2: Original: 2y9 2y39 2x35 4y3 8y23 11y55 12x29 12y48 16x21 17x40 18x19 20y16 20x34 23y15 26x27 26y8 29x12 31x28 32y7 32x49 32y23 33y10 37y48 37x32 38x47 39y49 39y11 41y37 46x57 47x7 47x35 48x20 48x16 49x7 51x45 51y41 52y41 57x31 58x19 59x2 Reduced: 1y1 2x1 2y3 3x4 3y2 4x3 4y4 Euler number: -3 Resultant Graph: 1y17 2x9 2y19 3x11 3y18 4x10 4y20 5y1 6x25 6y3 7x28 7y2 8x27 8y4 9y14 10y15 11y16 14y12 15x12 15y13 16x13 17y29 18x1 18y31 19x4 19y30 20x3 20y32 21y5 22x5 22y7 23x8 23y6 24x7 24y8 25y21 26x29 26y23 27x32 27y22 28x31 28y24 29y33 30x17 30y35 31x20 31y34 32x19 32y36 33y25 34x21 34y27 35x24 35y26 36x23 36y28 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 6069677 Graph #1: Original: 2x44 2x115 3y38 3x116 4y105 5y26 7y75 7x46 15x118 16y97 17x119 17y37 18y33 18y49 19x131 19x37 20y104 20x33 21x49 22x15 24y16 28x49 32y82 33x16 35x69 36x7 36y127 36x56 37x43 45y114 45y100 46x105 48x80 50x97 53y49 53y47 55y17 56x49 59y86 60x57 61x107 61x39 65x112 65y88 66y112 68y16 69x15 71y112 73x110 73x6 75y71 75x16 76y16 76x37 76y7 78x112 78y52 79y99 81x116 83x108 83y76 84y94 86y73 86x96 86y26 87y50 87x81 88x92 89y29 90y54 91x73 92x55 93x130 94y21 95y1 96y56 97x27 100y104 103y38 103x73 106y111 106y91 107x67 110x55 115x77 115x89 115y37 117y103 120x63 120y79 121y37 129x28 130y131 131y37 Reduced: 1x3 1y5 2x1 2y2 3x2 3y3 4y1 5x6 5y6 6x5 6y4 Euler number: -5 Graph #2: Original: 3x9 5x54 5x26 6y17 7y74 8x86 9y85 9y79 10y70 10x53 12x6 16y30 16y79 17y41 18y25 19x63 20y32 21x5 21y26 22y22 22x67 22x47 26y29 26y44 27x78 28x29 29x46 31y72 32x68 32x48 36y87 36y37 40y62 40x51 43x18 44y71 44x61 46x33 47x71 49x76 49y6 49y17 49x7 53x62 54x3 56x29 57x52 58x80 58x87 59x83 63y11 65y18 67x48 69y20 70y90 71x64 72y88 75y87 76x83 76x90 79y67 79y81 79y33 80y53 81x63 81x60 85y57 85x13 87x60 88x24 88x68 89x40 89x69 89y33 91x30 Reduced: 1x4 1y5 2x11 2y9 3x10 4y1 5x2 5y11 6x3 6y6 7x8 7y2 8x5 8y8 9y10 11x1 11y7 Euler number: -6 Resultant Graph: 1x26 1y46 2x33 2y50 3x32 4y42 5x24 5y52 6x25 6y47 7x30 7y43 8x27 8y49 9y51 11x23 11y48 12x4 12y16 13x11 13y20 14x10 15y12 16x2 16y22 17x3 17y17 18x8 18y13 19x5 19y19 20y21 22x1 22y18 23x15 23y27 24x22 24y31 25x21 26y23 27x13 27y33 28x14 28y28 29x19 29y24 30x16 30y30 31y32 33x12 33y29 34y5 35y9 36y11 37y6 38y2 39y8 40y10 41y7 42x56 42y57 43x62 44x61 45y53 46x54 46y62 47x55 47y58 48x60 48y54 49x57 49y60 50y61 52x53 52y59 53x45 53y36 54x52 54y40 55x51 56y34 57x43 57y41 58x44 58y37 59x49 59y35 60x46 60y39 62x42 62y38 Euler number: -29 Ratio: 0.9666666666666667 --------------------------------------------- Iteration 6078463 Graph #1: Original: 1y24 1x54 1x80 1y27 3x94 5y45 7y74 8y32 9y65 9y51 9x32 12x54 12x21 14x77 16x53 16x35 19x80 22x34 24y70 26y90 27x23 29y47 30x14 32y86 35y35 35x56 37y4 38x60 43y21 46x65 46x33 49x47 49y39 51y64 52y63 54y56 56x42 56y79 58y42 59x43 59x95 59x70 61y58 64x67 64x15 65x88 66y58 66y40 68x58 68y89 69x91 69y62 71y97 71y17 72x49 73y96 74y13 74x63 74y91 75y19 75x4 77y100 77x100 78y90 78y18 78x67 82y99 83y70 84y45 86x81 87y41 88x88 89y82 90x101 92y21 93x12 93y38 94y101 94y58 94y62 96x11 96y64 97x71 98y98 98x48 100y27 101x56 Reduced: 1y3 2x3 2y2 3x2 4x4 4y1 5x7 5y7 6y4 7x1 7y6 Euler number: -4 Graph #2: Original: 3x1 3x90 3y75 4y28 4y59 5y80 6y58 9x70 10x33 10x95 12y70 14x78 14x25 15y19 17x68 17y85 18y96 19x87 21x32 22x33 23y95 26x36 26y72 26x19 27y29 30y83 32y44 32x30 33x1 37x20 37y18 38x65 41y62 41x52 42y2 43x66 45y6 45x85 46y90 47x16 50y17 51x42 52y60 54y21 55y87 56y9 56y28 56y36 58x5 59y30 60y16 60y48 60y55 62y6 63x58 64y91 64y25 64x47 65x52 66x34 67x62 68y86 69x86 71y12 71y16 72x93 73y80 74y30 75x94 76x59 77x65 78y37 79y92 79x3 82y68 84y59 84y49 84y2 85x65 85x66 86y85 86y35 87x80 87y11 88y66 89x90 89y70 90y79 90x61 91x96 93x39 93y71 94x18 95x6 Reduced: 1x4 1y3 2x2 2y8 3y6 4x8 4y5 5x3 5y2 6x5 6y7 7x6 7y4 8x7 8y1 Euler number: -7 Resultant Graph: 1y19 2y24 3y22 4y21 5y18 6y23 7y20 8y17 9x20 9y11 10x18 10y16 11y14 12x24 12y13 13x19 13y10 14x21 14y15 15x22 15y12 16x23 16y9 17x12 18x10 20x16 21x11 22x13 23x14 24x15 25x28 25y3 26x26 26y8 27y6 28x32 28y5 29x27 29y2 30x29 30y7 31x30 31y4 32x31 32y1 33x51 33y50 34x49 34y55 35x55 35y52 36x50 36y49 37x52 37y54 38x53 38y51 39x54 39y48 40y27 41y32 42y30 43y29 44y26 45y31 46y28 47y25 48x4 48y42 49x2 49y47 50y45 51x8 51y44 52x3 52y41 53x5 53y46 54x6 54y43 55x7 55y40 Euler number: -27 Ratio: 0.9642857142857143 --------------------------------------------- Iteration 6093007 Graph #1: Original: 2x19 5x39 5y41 8y3 9y91 10x83 10y32 11y49 13y56 13x119 14x61 16y102 21x113 22y77 23y93 23y51 25x58 27y71 27y60 29x112 29x81 32y21 32x23 34x31 34x77 34x60 35x49 36y20 36x77 37x106 39y11 40x12 40x34 40x18 41y55 42x69 42y59 44x10 45x68 46x105 48x40 51y45 52x25 54x44 55x29 58y75 59y106 60y19 61y8 63x2 65x81 66y97 67y75 68y40 69x37 70x48 71y57 71y110 71x102 73x3 76y117 77y116 79x42 80y62 80x105 81y4 82y77 83x66 88y56 90y12 91x111 93y85 95x31 96x109 97y21 98x64 99x23 99x120 100x17 101y112 103x10 104x117 106x113 106y113 109y89 112y11 114y35 114y87 115y69 115y80 116x77 116x39 116y30 117x57 118y19 119x88 119y21 120x49 Reduced: 1x5 1y5 2y3 3x4 3y2 4x3 4y1 5x1 5y4 Euler number: -4 Graph #2: Original: 1x48 2y63 4y34 6x2 6y88 7x25 8x56 10y129 10y4 13x135 13x112 14x86 14x131 16y91 20x114 21y106 21x127 21x117 21x114 23x37 25x97 26x59 26x27 27y115 29y47 30x54 31x10 32x78 33x112 35x64 36x19 36y49 37x106 38y19 38y68 40y117 42y52 42x102 44y98 44x50 46x83 47y76 49x12 50y115 50y56 51y67 54y70 54x12 56x67 56y14 60y130 62y123 63x2 63x15 64y113 64y137 65x111 66y27 67x82 69x53 69y107 69y133 70x137 70y48 71x118 72y72 72y72 74x62 75x26 77x48 80x131 83x69 83x34 84y119 84x100 86y16 88x11 90y19 91y63 97y63 98y65 98y79 98x19 99x126 102y113 103y14 108x82 109x133 110x43 111x23 114y131 116x5 116x118 118x27 122x52 123x48 123x114 123y47 124x69 125y134 126x106 126y68 126x58 126x42 128y26 131y66 132y70 132y113 133x78 135x40 Reduced: 1x1 1y10 2x7 3y11 4y3 5x4 5y7 6x10 6y2 7x8 7y1 8x6 9x11 9y5 10x2 10y4 11y9 Euler number: -6 Resultant Graph: 1x42 1y51 2x48 3y52 4y44 5x45 5y48 6x51 6y43 7x49 7y42 8x47 9x52 9y46 10x43 10y45 11y50 12y29 13y30 14y22 15y26 16y20 17y24 18y23 19y28 20x31 20y18 21x37 22y19 23y13 24x34 24y16 25x40 26x38 26y12 27x36 28x41 28y15 29x32 29y14 30y17 31x20 31y10 32x26 33y11 34y3 35x23 35y7 36x29 36y2 37x27 37y1 38x25 39x30 39y5 40x21 40y4 41y9 42x1 42y40 43x7 44y41 45y33 46x4 46y37 47x10 47y32 48x8 48y31 49x6 50x11 50y35 51x2 51y34 52y39 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6101806 Graph #1: Original: 3x58 3x13 4y23 5x65 6x7 7y66 8x29 8y7 11x61 13y5 15y6 17y24 19y6 20y45 21y12 25y33 25x66 28x30 29y75 34x45 35x3 37x20 38y10 39y61 39x19 39x70 41x58 44y55 46x10 47y70 49x58 50x51 52y42 54x58 56y10 56y18 57y80 57y60 58x62 61x49 61x60 61x26 62x35 62y79 63y27 63y19 64x39 65x72 66y62 70y5 72x4 73y71 73y78 75x71 76y80 78x29 78x63 79y50 80x75 81x35 81x56 82y15 Reduced: 1x5 2x6 2y1 3x2 3y7 4y6 5y4 6x7 6y5 7x3 7y2 Euler number: -4 Graph #2: Original: 1y53 1x90 2y95 2y42 3x95 5y57 5x53 6x62 6x21 11y31 16x38 17y72 19x90 20y27 20x14 21y79 22x41 23x52 23x56 25y15 25x11 27x55 27y49 28x55 29x33 30y17 31x78 32x93 36y96 37y35 37x75 38x69 39x31 39y20 41x38 41x109 42y40 43y69 43x9 44y18 44x48 45x30 45y35 48x1 48x38 49y5 52x69 53y92 54y89 55x10 60x27 60x3 60y75 65x86 65x25 66x27 68x23 68y88 71x97 73y86 74y72 75y15 76x36 76y1 77x80 78x1 83x72 86y48 89y47 89x40 91x88 92x57 93y78 95y3 96y78 97y27 99x75 100x104 100y67 101x65 102y105 104y27 107y1 109y107 109y18 Reduced: 1x3 1y2 2x4 2y1 3x5 3y6 4x2 4y7 5x7 5y3 6x1 6y4 7y5 Euler number: -6 Resultant Graph: 1x30 2x31 3x32 4x29 5x34 6x28 7x37 7y2 8x38 8y1 9x39 9y6 10x36 11x41 11y3 12x35 12y4 13y5 14x9 14y43 15x10 15y42 16x11 16y47 17x8 17y48 18x13 18y44 19x7 19y45 20y46 21y36 22y35 23y40 24y41 25y37 26y38 27y39 28y22 29y21 30y26 31y27 32y23 33y24 34y25 35x44 35y29 36x45 36y28 37x46 37y33 38x43 38y34 39x48 39y30 40x42 40y31 41y32 42x16 42y8 43x17 43y7 44x18 44y12 45x15 45y13 46x20 46y9 47x14 47y10 48y11 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6120854 Graph #1: Original: 1y3 1y16 1x6 2y10 6x21 6x14 7y18 8y16 8y3 9x10 10y3 12x20 12y11 13y23 16x21 16y21 16x4 20y11 21y20 21y2 22x9 23y11 Reduced: 1x3 1y3 2y4 3x2 3y2 4x4 4y1 Euler number: -3 Graph #2: Original: 1y97 3y94 3x59 4y57 5y72 6x98 6y67 8x102 10y114 11y14 11y36 13y80 14x125 17y61 17y61 18x33 22x79 23x154 24x47 24x96 26x35 26y151 27x127 27x137 30x49 32y8 36y118 37y24 37x172 41x161 41y94 43x7 44x25 44y13 45x166 46y48 49y98 49x166 50y43 51y87 54x36 56x141 58x98 62y33 62y115 62x92 63y43 64x16 64x167 65x85 66y66 66x20 69x26 69y57 70x61 71x5 72x64 73y65 73y9 73y129 74x74 76y46 76y140 76y67 76y165 77x8 78y53 79y135 79y1 85y51 86x60 86y128 86x102 87y141 88x167 88y126 90x12 91x61 91y49 92y135 93y55 94y63 94y146 95x153 95x30 97y80 97y122 98y150 99x55 100y93 100x173 101x55 101x110 103y31 103x162 105x25 106x50 108x96 109x127 109x24 110x22 110y7 115x158 115y51 116y77 117x40 117x7 118y138 118y169 120x52 120x3 122x136 125y159 128x68 130x146 130x47 132y59 133x136 136y149 137x164 137x150 138y20 139x59 141x122 141x130 142x133 142y56 142y22 144x135 144x126 145x7 147x71 148x34 149x65 150y30 151x65 152y26 154y34 154x122 155x54 155y34 156y69 157x136 160x28 161x117 161y21 164x160 165x1 166y133 169y84 170x25 171x1 172y42 173y17 Reduced: 1y3 2x3 2y15 3y11 4y8 5x9 5y1 6x1 6y14 7x8 7y7 9x11 9y2 10x15 10y6 11x5 11y4 12x2 12y13 13x12 13y9 14x13 14y5 15y12 Euler number: -9 Resultant Graph: 1y31 2x31 2y43 3y39 4y36 5x37 5y29 6x29 6y42 7x36 7y35 8x39 8y30 9x43 9y34 10x33 10y32 11x30 11y41 12x40 12y37 13x41 13y33 14y40 15y46 16y57 17y53 18y50 19y44 20y56 21y49 23y45 25y55 26y51 27y47 28y54 29y17 30x17 30y28 31y24 32y22 33x23 33y15 34x15 34y27 35x22 35y21 37x24 37y16 38x28 38y20 39x19 39y18 40x16 40y26 41x25 41y23 42x26 42y19 43y25 44y3 45x46 45y14 46y10 47x51 47y1 48x44 48y13 49x50 49y7 51x53 51y2 52x57 52y6 53x47 53y4 54x45 54y12 55x54 55y8 56x55 56y5 57y11 Euler number: -26 Ratio: 0.9629629629629629 --------------------------------------------- Iteration 6125412 Graph #1: Original: 3y43 4y17 4y30 6x5 6x52 7x18 8x16 9x39 9x7 10x54 12x49 14y55 14x36 17x49 17y31 18x40 19y3 20x24 21x53 22x39 22x40 23x59 25x19 25y40 26x34 27y46 29y4 30x14 30y13 31y51 33y28 33y50 34x60 37y13 40y35 41y5 41x43 41y28 42x5 42x32 42x4 44y42 46y41 46y43 48y35 48x9 49x30 50y37 51x40 51y36 54y36 55y14 55y20 57y7 59y8 59y48 60y50 60y11 60y1 Reduced: 1x6 1y3 2x3 2y5 3x2 3y4 4x4 4y1 5y2 6x1 6y6 Euler number: -5 Graph #2: Original: 1y44 1x28 2x23 2x32 3y32 3y6 3x18 4x33 5y72 7y50 7y43 8y28 8x53 10x39 10y30 12x20 14y16 14y1 15x31 15y4 16y11 18x63 20x31 20y11 21x65 23x57 24x51 25y66 26y22 29y44 30y7 31x56 31y8 31x59 33y14 36x4 38x23 42x46 43y57 45x51 47x34 47y40 48y10 48x26 49y47 51x8 54x53 55y18 55x51 55y62 56x53 56x53 57x41 57x66 58x9 59x10 62x23 64y33 65y29 67y32 68x44 69x2 70y59 73y48 73x70 74y23 Reduced: 1y6 2y5 3y11 4x8 4y3 5y1 6y8 7x4 7y2 9x2 9y10 10x9 10y9 11x10 11y7 12x7 12y4 Euler number: -5 Resultant Graph: 1y28 2y27 3y33 4x62 4y25 5y23 6y30 7x58 7y24 9x56 9y32 10x63 10y31 11x64 11y29 12x61 12y26 13y50 14y49 15y54 16x30 16y47 17x26 19x24 19y53 20x31 20y52 21x32 21y51 22x29 22y48 23y40 24y39 25y45 26x18 26y37 27y35 28y42 29x16 29y36 31x14 31y44 32x19 32y43 33x20 33y41 34x17 34y38 35y6 36y5 37y11 38x42 38y3 39y1 40y8 41x38 41y2 43x36 43y10 44x43 44y9 45x44 45y7 46x41 46y4 47y21 48y15 49y13 50y18 51y14 52y20 53y19 54y17 55y60 56y59 57y65 58x8 58y57 59y55 60y62 61x4 61y56 63x2 63y64 64x9 64y63 65x10 65y61 66x7 66y58 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 6135377 Graph #1: Original: 2x162 4x153 5x26 6x49 6x137 7y61 12y101 13y147 15y118 16x153 16x42 17x104 18y164 19x16 25x53 25y90 30y28 31x86 31x80 33x20 35y49 36y17 36y138 36y129 37x32 38x95 39x125 39x66 40y51 43y153 44y138 46x151 47x63 49y141 51x149 54y94 56y30 57x70 60x112 61x149 61x39 64x165 66y146 66x81 69x58 71x38 72y146 73x42 76x126 76y70 76x64 77x45 78x164 78x124 79y123 84x101 86x149 87y94 87y126 88x1 88y62 91y73 93x118 93x52 93x103 94y26 96y6 98y76 99y34 99x141 99x84 100x97 100x36 102y23 103x92 104x94 104y52 105x151 105y120 107x148 108x145 108y61 108x34 109y6 110y125 110x148 112y9 113y106 114x8 115y19 116y135 119y66 120x122 121x114 122x147 122y131 122y5 124x31 124y86 125y16 125x124 127y41 128y10 128y133 129y91 130y113 130x78 132y132 133y131 136x11 140y129 141y101 142x19 143y150 143y2 144x47 145x93 147x128 150x120 150x142 150y22 152x26 154x16 155x130 161x123 161y93 162x150 163x45 163y39 Reduced: 1x7 1y1 2x8 2y7 3x4 3y6 4x5 4y5 6x9 7x1 8x6 8y9 9x10 9y2 10x2 10y10 Euler number: -6 Graph #2: Original: 1x116 1x88 2y76 4x60 4y39 5x94 6x10 7x69 7x116 7x96 8x42 10y37 12x37 13y44 15x4 15x3 17y40 18y103 19x83 22x23 22y59 24y119 25y94 25x60 26x37 28x110 30y13 31y6 31x101 31x65 33y31 36x105 37x96 37x101 39x91 42x80 44y121 46x19 47x123 48x65 48y62 49x112 49y13 51y20 51y33 52y57 52y20 53y83 55x77 58x107 58x82 60y102 61x99 62x90 63x15 69x75 69y63 70x17 71x108 73x29 77x109 77y38 77x1 79x91 84x123 84x4 86y35 89y8 91y24 92x5 95x54 97x36 97x94 99y63 99y9 99y51 100y2 104x12 105y41 105y75 107y67 108y85 110x54 111x13 112y84 114y30 117x57 119y31 120y111 120y57 120y92 121x56 121y30 122y88 Reduced: 1x5 2x4 2y1 3x1 3y5 4x3 4y3 5x6 5y2 6x2 6y6 Euler number: -5 Resultant Graph: 1x39 2x38 2y1 3x35 3y5 4x37 4y3 5x40 5y2 6x36 6y6 7x45 8x44 8y35 9x41 9y39 10x43 10y37 11x46 11y36 12x42 12y40 13x21 13y29 14x18 14y33 15x20 15y31 16x23 16y30 17x19 17y34 18x27 19y24 20x24 20y27 21x26 21y26 22x28 22y25 23x25 23y28 29x51 30x50 31x47 32x49 33x52 34x48 35x5 36x4 37x1 38x3 39x6 40x2 41x33 42x32 42y47 43x29 43y51 44x31 44y49 45x34 45y48 46x30 46y52 47x57 48x56 48y7 49x53 49y11 50x55 50y9 51x58 51y8 52x54 52y12 53x11 54x10 54y53 55x7 55y57 56x9 56y55 57x12 57y54 58x8 58y58 Euler number: -29 Ratio: 0.9666666666666667 --------------------------------------------- Iteration 6216561 Graph #1: Original: 3x28 4x30 6y12 8y27 8x5 10y24 10x23 11x17 12y10 12y1 13y22 13x16 13y30 14x20 14x28 15x3 16x21 16x28 17y30 17y19 18y8 19y20 22x9 22x30 23y25 23y8 23x6 25y18 26y28 27x11 28y9 29x6 30x8 Reduced: 1x4 1y2 2y1 3x3 3y4 4x1 4y3 Euler number: -3 Graph #2: Original: 3y19 3x47 5x91 7y77 8y58 8y60 10x34 10y65 11x5 11y12 13y12 13x79 14y77 15y23 19x95 23y75 23x64 24y23 26x51 27y73 27x46 28x72 28y88 28y37 29y90 30x9 34x29 35x50 35x89 39y16 39x2 39y61 41x73 44x65 44x75 46y53 46x68 46x82 47x13 47x48 48y38 49y3 50y42 50x42 50x72 51x35 51y88 54x2 54x6 56y7 57x85 58x21 58y39 59y83 60x77 61x62 62y40 62x73 62x55 63x71 65y46 66x93 67y28 68x58 69x62 70y53 73x8 73y58 74y52 75y59 77x38 80x20 80y32 81y76 83y87 83x38 83y51 84x64 87y31 89y17 90y95 90y59 92y24 93y32 93y26 93x33 94x50 Reduced: 1y1 2x7 2y4 3x12 3y12 4x5 4y8 5x10 5y7 6x11 7x1 7y3 8x8 8y2 9y5 10x2 11x6 11y9 12x3 Euler number: -7 Resultant Graph: 1y12 2x37 2y15 3x42 4x35 4y17 5x40 5y16 6x41 7x31 7y14 8x38 8y13 9x32 10x36 10y18 11x33 12y1 13y4 14y11 15y8 16y3 17y2 18y5 19y31 20x25 20y34 21x30 21y42 22x23 22y38 23x28 23y37 24x29 25x19 25y33 26x26 26y32 27y35 28x20 29x24 29y39 30x21 31y19 32x7 32y22 33x11 33y30 34x5 34y26 35x9 35y25 36x10 37x1 37y21 38x8 38y20 39y23 40x2 41x6 41y27 42x3 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 6265908 Graph #1: Original: 1y80 1x65 2y84 3x55 3x51 3y60 4x27 4x1 6y37 8y5 8x33 9x74 10x10 11x41 14x10 14y74 17x92 17y64 18y70 20y86 21x31 22x30 22x71 27y10 30y38 31x18 31y16 31y83 33x47 33x46 33x54 37y83 39x55 39y54 39y78 40y24 43y62 44x31 47x11 47y6 48y16 48x53 50x20 50x20 50x83 53x25 54y8 54y94 55y21 56x49 58x37 62x24 62x51 65y33 66y67 68y10 70x38 72x57 72y87 74y71 75y62 77y55 78x82 80x35 81y66 81y1 83y46 84y55 84y27 84x61 85x59 85x15 87y6 87x69 88x9 89x44 91y70 91y49 92y53 Reduced: 1x5 1y2 2y5 3x2 3y3 4x4 4y1 5x3 5y4 Euler number: -4 Graph #2: Original: 2y3 2x53 3x9 3x41 4y27 6y2 7x12 8y8 9x68 9y44 14x57 19y38 20x20 20x59 21x43 21y38 24x61 26y8 26x74 26x54 27y14 28y65 29x38 30y36 31x22 34x46 37x72 38x21 39x18 40y65 41x31 41x25 42x47 43x57 44x26 44y57 44y56 44x1 46y65 46y39 47y22 49x22 49y58 50x15 52y7 53y45 53y53 54x37 54x21 54x3 58x30 58y62 62y38 62x43 65x35 66y18 66x47 67y1 68y55 70x44 72y35 74x23 74x73 Reduced: 1x3 1y8 2x7 2y5 3y3 4x8 5x1 5y1 6x5 6y2 7x4 7y7 8x6 8y4 Euler number: -6 Resultant Graph: 1x35 1y16 2x39 2y13 3y11 4x40 5x33 5y9 6x37 6y10 7x36 7y15 8x38 8y12 9y40 10y37 11y35 13y33 14y34 15y39 16y36 17x11 17y24 18x15 18y21 19y19 20x16 21x9 21y17 22x13 22y18 23x12 23y23 24x14 24y20 25x27 25y8 26x31 26y5 27y3 28x32 29x25 29y1 30x29 30y2 31x28 31y7 32x30 32y4 33x19 33y32 34x23 34y29 35y27 36x24 37x17 37y25 38x21 38y26 39x20 39y31 40x22 40y28 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6280047 Graph #1: Original: 1x43 1y59 1x49 2y10 2x6 4x41 5x77 8x20 8x52 11x74 11y36 12y23 12y58 15y4 15y74 16y15 16y69 17y9 18y5 20y34 21y9 22x58 23y19 25x41 26y70 28y5 31y14 33y58 34x66 36x38 37x3 41y6 41y36 42x48 43x5 45y76 45x13 47y26 49y14 50x39 53x13 53y25 54x69 55x4 57x20 60y72 61y49 62x62 63x32 64y47 64y39 65x6 69x40 69x23 69y17 72x23 72y19 72y77 74y62 77y33 77y51 Reduced: 1x2 2x1 2y3 3x3 3y4 4x4 4y2 Euler number: -3 Graph #2: Original: 4y39 5y66 5y53 6x56 6x49 7x94 7x2 9x5 9x79 9x24 10y50 11y91 14y13 14x102 15y39 16x73 16y56 18x29 18x74 21x26 23x83 25x1 25y15 28x65 30y56 32x91 33y96 34y87 34x49 36x12 38y68 39y25 40y5 40y59 40x31 41x103 43x30 45y4 46x6 47y34 48x42 49x81 52x101 53x45 54x72 54x34 54x26 54y19 55x105 56x112 58y64 61x53 62y67 63y84 63x83 63x24 65y10 65x58 73y28 73x41 74x3 76x98 76y13 76y53 77y93 78y41 80y73 81x63 83x90 84x5 84x87 85x49 87x100 90y6 90x15 91y27 93x25 96y27 97x1 97x74 97y97 99x111 99y112 100x69 101x1 103y28 104x90 105y8 106x19 106x108 106x27 109x13 110x108 111x111 112y36 112y22 112y43 113y91 Reduced: 1x8 1y2 2x4 3x7 3y6 4x5 4y8 5x9 5y5 6x2 6y9 7y7 8x1 9x3 9y3 10x10 10y4 Euler number: -7 Resultant Graph: 1x16 2x12 3x15 4x13 5x17 6x9 7x11 8x18 9x6 9y20 10x4 11y24 12x5 12y26 13x7 13y23 14x2 14y27 15y25 16x1 17x3 17y21 18x8 18y22 19x26 19y30 20x22 21x25 21y34 22x23 22y36 23x27 23y33 24x20 24y37 25y35 26x19 27x21 27y31 28x28 28y32 29x36 29y10 30x32 31x35 31y14 32x33 32y16 33x37 33y13 34x30 34y17 35y15 36x29 37x31 37y11 38x38 38y12 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 6281530 Graph #1: Original: 1x21 2x105 3y54 3y47 5x22 5x36 9x9 10x49 11y62 12x38 13y16 14x47 17x87 17y20 18x55 18x52 19x45 20y6 21x111 22y46 25x82 26y7 26x90 26x71 29x109 29x97 33x46 36x97 39y73 40y112 40y80 43x37 44x82 45y99 46y87 47y75 47y62 48y65 49x5 49y33 51x44 51y71 53x14 53y29 55x22 55x99 55y34 57x52 57y93 60x60 60y35 61y83 61x72 62x21 67y33 69x62 69y67 70y37 72x46 73x67 73x65 74x73 74y66 74y54 76x113 77x5 80x10 81x97 81y68 83y99 84x31 84x2 85x43 86x76 86y32 86y89 90x104 91y91 92x48 94x87 95y96 96y14 100x58 101y89 103x55 105x17 106x75 106x77 107y72 108y69 109x83 109x84 113x30 113y30 114y32 Reduced: 1x10 1y10 2x4 3x2 3y6 4y7 5x9 5y4 6x1 6y5 7x5 8x7 8y2 9x6 10x8 10y8 Euler number: -6 Graph #2: Original: 1y12 2x50 2y3 3x50 3x39 5y42 9x6 11y4 12y6 13y24 13x12 16y31 18y36 18y58 19x52 20x41 22y56 23y23 25x42 26y16 26x53 27y6 29x4 30x9 30x56 32y53 33y25 35x7 36x38 36y57 38x30 41x5 41y49 42y26 44x14 45x55 48y44 48y25 48x32 49y5 49x12 50x44 51y19 54x53 54x14 55x1 57y1 58x47 Reduced: 1x3 1y1 2x1 2y5 3x4 4x5 4y2 5x2 5y4 Euler number: -4 Resultant Graph: 1x46 1y44 2x44 2y48 3x47 4x48 4y45 5x45 5y47 7x15 8x17 9x18 10x16 11x8 11y24 12x6 12y28 13x10 13y25 14x7 14y27 15y29 16y33 17y30 18y32 19x41 19y15 20x39 20y18 21x42 22x43 22y16 23x40 23y17 24x3 24y19 25x1 25y23 26x4 27x5 27y20 28x2 28y22 29x21 30x19 31x22 32x23 33x20 34x31 34y6 35x29 35y10 36x32 37x33 37y7 38x30 38y9 39x26 40x24 41x27 42x28 43x25 44x36 44y34 45x34 45y38 46x37 47x38 47y35 48x35 48y37 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6297728 Graph #1: Original: 2y19 2y34 3x59 5y46 5y14 5x15 8y84 11y30 11y15 12y39 12y38 16x59 18x14 19x59 20y14 20y13 21x61 21y24 21y45 24y63 27x25 28x48 29x7 30x55 30x19 31x56 35x3 37y81 38x6 39y46 39y10 40y37 40x25 42x67 44y82 45x26 45y10 46x23 49x28 52y80 53x9 54x88 54y30 59y37 61y45 63x59 64y40 65x8 65x24 66x62 67x10 68x40 69x36 69y78 72x45 72y60 73x74 74y70 74x73 76x80 77x10 77x16 79x38 79y72 79x76 80y36 81x82 81y14 81x54 84y28 84y27 86x72 87y45 89x88 89x55 Reduced: 1y5 2x1 2y1 3x4 3y3 4x6 4y2 5x5 5y4 6x2 6y6 Euler number: -5 Graph #2: Original: 1x94 2x11 3x87 3y9 3y49 4x54 5y93 5y17 6x30 6x24 6x27 7x76 7y19 11x70 12x61 13x22 13x9 15y70 15x80 16y54 16x90 17y23 17x45 18y75 19y14 21y48 23x75 24y77 25x85 28x62 29x19 29x59 31x67 32y97 33y16 33y10 36y67 37x8 41x60 42x66 45x40 45y97 48x86 49y12 50x12 52y3 53y53 53x98 55x61 57x71 58x75 60x12 60x74 62x76 63x44 63x32 64x54 65y49 66y84 67y29 73y22 73y6 74x85 75x61 77y27 78y36 80y36 82x56 85x94 86y14 86x66 87x55 90x37 91y53 92x17 92x67 94y65 94y57 94y45 95x95 96x45 97y78 98y73 99y44 100x65 Reduced: 1x6 2y10 3x1 3y8 4y5 5y4 6x7 6y2 7x9 7y7 8x4 8y6 9y3 10x3 10y1 Euler number: -5 Resultant Graph: 2y47 3y45 4y42 5y41 6y39 7y44 8y43 9y40 10y38 11x6 12y10 13x1 13y8 14y5 15y4 16x7 16y2 17x9 17y7 18x4 18y6 19y3 20x3 20y1 21x33 22y27 23x28 23y26 24x34 24y22 25x36 25y25 26x31 26y24 27x30 27y21 28x53 29y20 30x48 30y18 31y15 32y14 33x54 33y12 34x56 34y17 35x51 35y16 36y13 37x50 37y11 38x43 39y37 40x38 40y35 41y32 42y31 43x44 43y29 44x46 44y34 45x41 45y33 46y30 47x40 47y28 48x16 49y57 50x11 50y55 51y52 52y51 53x17 53y49 54x19 54y54 55x14 55y53 56y50 57x13 57y48 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 6304230 Graph #1: Original: 2y10 3y14 3x17 4y15 4x15 4x17 5x18 5x2 7y1 11x7 12x19 12x21 12y18 14x10 15x16 16y22 17x21 19y1 19x22 20y7 20x5 21x4 23x4 23y4 24y2 Reduced: 1x5 1y5 2x3 3x2 3y4 4x1 4y1 5x4 5y3 Euler number: -4 Graph #2: Original: 1y96 2y15 2y52 7y66 8x98 9y48 9y70 9y66 10y38 10x18 11y56 12y43 13x13 20y108 21x43 21y9 23x71 24y86 24x47 25x31 26x14 26x95 30x11 31y85 31x8 33y32 34x63 35x2 35x71 37y101 38y114 39x87 39y3 40y65 41x62 42y82 42y25 44x52 44y100 49x109 49x111 53y4 54y96 54x82 58x80 60y9 61y65 64y51 64y81 67x31 68y72 69x1 72x74 74y51 75x49 75y97 76x109 77x110 77y93 79y74 81y43 82y28 84y83 84y83 84y98 84y14 85y101 85x17 86x54 86y80 87x41 88x5 88x65 88y6 91x6 93y98 93x18 94y26 94y21 94x68 96x90 99y7 100x55 101x105 101x80 102x5 105x5 106x96 106x96 109x6 109x2 110x109 110y86 111y23 111x77 112y46 114y8 Reduced: 1y10 2x9 2y7 3x5 3y11 4x1 5x2 6y3 7y4 8x10 8y8 9x3 9y1 10x11 10y6 11x8 11y9 Euler number: -6 Resultant Graph: 1y48 2x47 3x44 3y49 4x40 5x41 6y42 7y43 8x48 8y46 9x42 9y40 10x49 10y45 11x46 11y47 12x26 13x22 14x20 15x27 16x21 17x28 18x25 19y38 20x16 20y35 21x14 21y39 22x12 23y31 24y32 25x17 25y36 26x13 26y29 27x18 27y34 28x15 28y37 29y10 30x9 30y7 31x5 31y11 32x1 33x2 34y3 35y4 36x10 36y8 37x3 37y1 38x11 38y6 39x8 39y9 40y27 41x37 41y24 42x33 42y28 43x29 44x30 45y21 46x38 46y25 47x31 47y19 48x39 48y23 49x36 49y26 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6304972 Graph #1: Original: 1x110 2x57 2x82 4x83 7x139 7y125 8x48 8x69 9y8 9x42 10y19 11x72 11y29 11y20 13x165 13x4 15y4 17x57 19y10 19x62 20y143 20x57 21x29 23x139 23y135 25y51 26y80 26x124 27x155 27x92 30x118 32y45 32x125 34y141 35x39 35y7 36y105 39x31 41y74 43x29 43x78 46y8 47y4 49x111 50y156 51x96 53y62 54y77 54x149 58y171 60x157 61x148 65x102 65x35 65y27 68x24 68y52 69y151 70x139 71y154 73y38 75y96 76y156 76y134 76y94 76x163 77x110 79y162 80x92 81y74 81y150 83x4 84x161 88x32 89x151 90x26 90y81 91x28 92y97 93y166 93x4 94x126 97y117 99x31 102y54 103x95 104x24 105x50 106x161 106x78 106x47 106y116 106x101 108x15 108x61 110y87 110x40 111y20 112x141 113y72 113x161 114y161 115x36 115x156 121y107 122x140 122x113 124x88 127x150 128x72 130y69 131x150 131x52 132y18 133y43 134y132 137y158 138y77 138y103 139y85 139y131 141y28 141y155 143x81 144y98 145y72 146x143 147y75 147y131 148y119 149y74 152y85 156x119 158y85 159y148 159x160 159y112 161x42 162x157 163y151 166y3 166x160 167y160 169y123 169y22 170y154 171y129 171y40 173y164 173y85 Reduced: 1x2 1y3 2x7 2y8 3x11 3y6 4x5 6x8 6y11 7x6 7y5 8x1 8y4 9x4 9y1 10x10 10y2 11x3 11y10 Euler number: -8 Graph #2: Original: 3y1 4y88 6y87 6y97 8y118 9x97 11y139 11y110 12y5 13y138 13x66 15y25 16y40 18y104 19y106 20y52 21x142 21x16 22y15 25y6 26y140 26x39 26x94 27y121 28y118 33x45 35y78 36x79 37x107 39y10 39x58 44y31 45y135 46y130 47y43 49y123 52y23 55x62 55y35 56x119 59y54 62y132 65y31 68x65 69x9 72y93 73y131 74y123 77y10 79y39 79y44 80y136 82x146 82y134 83x4 83x134 84y93 84x14 86x128 89y132 94x80 95x74 95y57 96y8 96x98 96y52 96x97 98y36 99x64 99x27 100x90 102y75 102y138 103y122 106x111 106x30 106y82 107x105 107y33 109x144 109y121 111y45 113y13 113y22 113x150 116x28 118x2 120x19 121x132 121y45 122x75 125y22 126y128 126x4 127y147 128x53 129x132 132y71 132y78 133y29 134y82 135y56 135y106 136x32 137x99 139x22 140y117 142x54 143x87 144y145 145y3 146x143 146x106 147x69 147y29 148y15 148y38 149x23 151y72 152y9 Reduced: 1x4 1y4 2x2 2y3 3x1 4x3 4y1 Euler number: -3 Resultant Graph: 1x8 1y12 2x6 2y11 3x5 4x7 4y9 5x26 5y30 6x24 6y29 7x23 8x25 8y27 9x40 9y22 10x38 10y21 11x37 12x39 12y19 13x18 14x16 15x17 19x30 19y40 20x28 20y39 21x27 22x29 22y37 23x22 23y18 24x20 24y17 25x19 26x21 26y16 27x4 27y15 28x2 28y14 29x1 30x3 30y13 31x15 31y4 32x14 32y1 33x36 33y8 34x34 34y7 35x33 36x35 36y5 37x12 37y36 38x10 38y35 39x9 40x11 40y33 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6310135 Graph #1: Original: 1y23 1y17 2x16 2x12 4y13 4x8 7y18 8y12 9y8 10y6 11y7 12y1 12x7 12y24 20y8 20x12 21y11 21x1 22x21 23y30 23x17 23y26 26x10 26y15 26x7 27y13 29y16 29x5 30x21 Reduced: 1x1 1y5 2y4 3x5 3y1 4x3 4y2 5x4 5y3 Euler number: -4 Graph #2: Original: 1x65 1y49 1x92 1y105 2y49 3x72 4x13 7y31 7y29 8y47 8y101 10x74 10y33 11y24 12y61 13x7 13x42 13x83 19x94 20y40 20y17 23y67 26x102 26y8 27y103 28y14 28y18 29x2 30x27 30y93 31y20 33y79 34y72 34x60 34y66 39y26 39x96 41x82 43y93 43x45 44y107 45x87 45y98 47y90 48y91 48y89 48x69 51x3 53y100 53x95 54x72 54x77 55x31 56y72 58x44 63x66 64y101 67y100 67y73 69x6 70y46 70x58 72y13 73y15 75x31 77y39 79x41 82x82 82y87 83y59 83y3 84x4 85x80 87y95 87y69 88x43 89x29 90y1 93y2 95x24 97x45 98y24 99y9 99x9 100x80 102x83 107y47 107y67 Reduced: 1y11 2y5 3y6 4x11 4y2 5x6 5y8 6x3 6y10 7x1 8x7 8y1 9y7 10x10 10y3 11x9 11y4 Euler number: -6 Resultant Graph: 1y52 2y46 3y47 4x11 4y43 5x6 5y49 6x3 6y51 7x1 8x7 8y42 9y48 10x10 10y44 11x9 11y45 12y41 13y36 14y37 15y33 16y39 17y40 18y32 19y34 20y35 21y11 22y5 23y6 24x52 24y2 25x47 25y8 26x44 26y10 27x42 28x48 28y1 29y7 30x51 30y3 31x50 31y4 32y20 33y16 34y17 35x31 35y13 36x26 36y18 37x23 37y19 38x21 39x27 39y12 40x30 40y14 41x29 41y15 42y31 43y25 44y26 45x41 45y22 46x37 46y28 47x34 47y30 48x32 49x38 49y21 50y27 51x40 51y23 52y24 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6312149 Graph #1: Original: 4y46 4x48 5y22 6x19 7y5 9y46 10x2 12x18 13y50 14y27 15x50 17y22 19y9 19x29 20x42 20x31 21y23 21x11 21y4 22y12 24y48 24y7 24y18 24x20 25x13 26y32 26x46 30y9 31y7 32x2 33x39 34y20 36x22 37x18 39y40 39x21 40x38 40y48 41y16 42x47 44x46 46x34 46y6 47y11 49y50 Reduced: 1y4 2y1 4x3 4y6 5y10 6x2 6y9 7x4 7y8 8x10 8y2 9x5 9y7 10x8 10y3 Euler number: -5 Graph #2: Original: 2x18 2y26 3y4 5x13 7y30 9x1 10x29 10x34 12x19 13x24 13y24 14y7 15y1 16y39 16x16 17y27 17y33 21y13 21x39 21y43 23x23 23x16 23y38 26x42 28y14 30y41 31y35 31x47 32y41 33x1 33y6 34x31 34y35 36y22 37x7 37y5 37y6 40y17 41x2 41y16 41y28 42y31 42y14 42y34 43y4 45y39 46y8 48y44 Reduced: 1x2 1y2 2y5 3x1 3y3 4x4 4y1 5x5 5y6 6x6 6y4 Euler number: -5 Resultant Graph: 1y19 2y22 3y20 4y18 5y23 6y21 7y2 8y5 9y3 10y1 11y6 12y4 18x14 18y30 19y33 20x13 20y31 21x15 21y29 22x16 22y34 23x17 23y32 24y54 25y56 26y53 27y57 28y55 29x8 29y48 30y51 31x7 31y49 32x10 32y47 33x11 33y52 34x12 34y50 35x19 35y42 36y45 37x18 37y43 38x21 38y41 39x22 39y46 40x23 40y44 41x54 41y8 42y11 43x53 43y9 44x55 44y7 45x56 45y12 46x57 46y10 47x25 47y36 48y39 49x24 49y37 50x26 50y35 51x27 51y40 52x28 52y38 53x42 53y14 54y16 55x44 55y13 56x45 56y17 57x46 57y15 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 6341145 Graph #1: Original: 4y70 4y87 4y60 4y151 5y159 5x70 11y160 12y37 13y130 16x10 18y83 19x124 19y24 21x165 22x58 22y130 24y166 25x14 26y16 27x69 28x109 29y11 31y2 32y149 33x22 34x156 34y88 37x147 39y119 40y61 40y158 41x89 42x48 43y106 45x9 46x53 48y54 48y40 51y117 52y4 52y46 52x131 53y70 53x83 54y88 54y26 55x156 56x131 58x27 60y125 60y133 61y96 62y158 63y113 65x72 66x41 66x127 66y114 68y142 69x32 71x161 72y102 72y36 73y76 75y10 76x66 77x82 78y158 81y34 82x118 83x53 85y124 85x142 85y89 87x7 87y137 89x155 90x92 91y54 92y78 95y93 96x43 99x165 102x36 103x134 103y72 105y61 107y90 108y32 111x37 113y55 114y83 114x96 115y151 118y41 119y101 127x45 127y20 128x45 129y111 129x167 132y163 134x8 134x167 134x32 139x118 140y93 144y75 146x100 146y92 147x150 147x112 150y21 151y142 153x135 155y63 155x152 157y122 160y160 161y61 161x103 164x120 165y13 165y42 165x134 166x73 167y102 Reduced: 1x6 1y1 2x2 2y5 3x4 3y6 4x1 4y2 5y3 6x3 6y4 Euler number: -5 Graph #2: Original: 2y87 2y67 3x22 3y73 5y80 5y24 6y59 8y72 8y51 8y6 9y82 10x3 11y37 12x74 13x120 14x102 15x50 16y65 17x55 17y60 18y9 20y59 20y111 27x9 28y94 29x54 30y122 31y119 31y27 32y123 33x103 33y17 34y99 38x49 43y27 46y20 46x18 49y19 51y85 52x64 53x82 53y33 55x4 56x115 57y103 58x125 61y32 62y108 62x98 64x98 64x118 65y6 65x117 66x63 67y26 69y5 70y49 71y113 73x52 75x39 76x115 77y128 78x7 82x31 84y102 84x132 88y32 88x64 88y5 88y12 89y25 89y29 90x18 91x33 92x52 94y84 95x105 95y119 96x27 97x105 97y107 98x85 99y125 100y51 102y44 102y66 106x111 107y69 107y26 108y63 110x68 111y40 111x89 111x128 112y86 113y29 113y101 115y11 117x32 118x4 118y93 119y100 120y66 121y103 121x86 123x89 124y94 126y50 127x43 129y92 130x105 130y94 132x106 132y78 Reduced: 1x7 1y4 2y1 3x9 3y2 4y9 5x1 5y7 6x4 6y5 7x3 7y3 8y6 9x8 Euler number: -5 Resultant Graph: 1x50 1y4 2y1 3x52 3y2 4y9 5x44 5y7 6x47 6y5 7x46 7y3 8y6 9x51 10x16 10y40 11y37 12x18 12y38 14x10 14y43 15x13 15y41 16x12 16y39 17y42 18x17 19x34 19y47 20y44 21x36 21y45 22y52 23x28 23y50 24x31 24y48 25x30 25y46 26y49 27x35 28x7 28y13 29y10 30x9 30y11 31y18 32x1 32y16 33x4 33y14 34x3 34y12 35y15 36x8 37y22 38y19 39y20 40y27 41y25 42y23 43y21 44x25 44y31 45y28 46x27 46y29 47y36 48x19 48y34 49x22 49y32 50x21 50y30 51y33 52x26 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 6358452 Graph #1: Original: 2y4 3x49 5y8 5y66 6x64 8x63 8x3 9x47 9y37 11y61 11y55 13y26 14x3 15x15 15x57 16x31 17x15 17x13 20y39 21x29 22x52 22y45 24x56 26x61 27x30 28y47 31y23 31x57 33y19 34y5 37y50 38y60 41x37 41y32 42y37 43y62 45y23 46x41 49x14 50y48 51y9 53x65 53x29 54x62 56x9 58x45 59x37 60x49 61x63 63x4 64x48 64x51 64y3 64x23 65x33 66y22 Reduced: 1x4 1y4 2y3 3x3 3y1 4x5 4y2 5x1 5y5 Euler number: -4 Graph #2: Original: 1y5 2x74 3y9 10y49 11y81 13x95 14y93 16y62 17y27 17x5 18y56 18y83 20x46 21y5 23y84 24y65 25y89 25y19 26y72 27y26 29y109 30y109 30x86 31x71 31x108 31y87 32y32 32y36 35x59 35x64 35x5 36x6 37y85 37y114 41y58 41x52 43y98 43x2 44y80 45y32 46y66 47x82 48x65 49x41 50x89 51x51 52x9 59x34 59x107 63y49 64y46 64y69 65y68 66y47 67x101 68x109 70y112 74y13 75y1 76y117 76y28 77y29 78y116 79x117 80y35 82x28 84x4 86y5 90y13 92y61 92y1 93y3 93x78 94y42 94y50 94x17 96x65 96y95 98x8 99x78 100x77 100x107 101x6 104x57 104x104 105y92 105x89 108y84 108x117 108y91 109x85 109x97 110x38 112y40 113y75 113y10 113y27 114x117 114y60 114y22 114x33 116y15 116y47 117y44 117x40 117x63 Reduced: 1x9 1y3 2x6 2y9 3y2 4x2 4y13 5x3 5y7 6x8 7y10 8x4 9x12 9y12 10x1 10y1 11x5 12y4 13x11 Euler number: -6 Resultant Graph: 1x42 1y36 2x39 2y42 3y35 4x35 4y46 5x36 5y40 6x41 7y43 8x37 9x45 9y45 10x34 10y34 11x38 12y37 13x44 14y24 15y29 16y23 17y33 18y30 19y32 20y22 21y25 22x29 22y3 23x27 23y9 24y2 25x23 25y13 26x24 26y7 27x28 28x25 29x32 29y12 30x22 30y1 31x26 32y4 33x31 34x55 34y16 35x52 35y19 36y15 37x48 38x49 38y18 39x54 40y20 41x50 42x58 42y21 43x47 43y14 44x51 45y17 46x57 47x9 47y49 48x6 48y55 49y48 50x2 50y59 51x3 51y53 52x8 53y56 54x4 55x12 55y58 56x1 56y47 57x5 58y50 59x11 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6384362 Graph #1: Original: 1y123 3y1 5x59 6x33 7y20 9x46 9x35 10y52 11x86 14y81 14x84 15x9 17y23 18y12 19y99 20y112 21y21 22y67 23y106 26x60 26y69 27x115 27x133 30y115 31x14 32y17 32x51 32y27 33x91 38y96 40y102 41x8 41y134 41x13 42y112 42x10 43x85 44x13 47x6 49x115 49x29 51x21 52x111 53x4 53x89 53y5 54y70 54y68 56x86 57y6 57y18 57y54 59y132 64y55 65y10 72y90 72y91 74x6 75y65 77y56 79x133 79x122 81y131 81x1 81y68 81y65 84y2 86x7 86x87 87y128 87x125 89x87 89y37 92y3 93x51 94x106 94y22 95x119 95x127 96y66 101y14 103y85 104x92 104y106 106x46 106y129 107x25 108y35 109x77 110x117 111x133 112x46 113x105 113y21 114x29 115x114 116y48 116y52 117x20 118x107 119x37 120x116 120y123 121x10 124x102 127y70 128x88 128y100 129x124 129x99 130y70 131y94 134y62 Reduced: 1x1 1y2 2x4 2y5 3y4 4x5 4y1 5x6 6y6 7x2 7y3 Euler number: -4 Graph #2: Original: 1x32 1y24 2y66 4x10 4y19 5y2 8x58 8x38 9y7 12x79 12y56 13y3 13x79 14y7 15x79 17y39 18y66 19y79 20x78 20x9 20y32 20y30 21x55 23y84 23y34 23x65 25y5 26y6 26y81 27x81 27y10 28y45 29x35 31x2 32x43 33x51 33y81 34x72 39x66 40x24 40y84 42x45 43x36 45y63 45y83 46x61 46x31 48x68 49x67 51y27 51y38 53x23 54x41 59y59 61y61 62y55 62y45 62x48 63y71 64y51 64x55 66x9 67x7 70y79 70y75 72y58 74x74 76x52 77y34 77y40 79y32 81y43 81x67 82y68 83y1 Reduced: 1x1 1y7 2y2 3x5 3y1 4x7 4y4 5x6 5y5 6x2 6y3 7x3 7y6 Euler number: -6 Resultant Graph: 1x1 1y14 2y9 3x5 3y8 4x7 4y11 5x6 5y12 6x2 6y10 7x3 7y13 8x21 8y34 9y29 10x25 10y28 11x27 11y31 12x26 12y32 13x22 13y30 14x23 14y33 15y27 16y21 17y24 18y25 19y23 20y26 21x28 21y7 22y2 23x32 23y1 24x34 24y4 25x33 25y5 26x29 26y3 27x30 27y6 28x35 30x38 31x40 32x39 33x36 34x37 35y40 36y36 37y35 38y38 39y37 40y39 41x8 41y20 42x12 42y15 43x14 43y17 44x13 44y18 45x9 45y16 46x10 46y19 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6387097 Graph #1: Original: 1y79 3x77 3y50 5x107 5y85 7y82 7x50 11y113 13x38 13y97 16x99 17y48 17x49 19x103 21x101 22x75 24x119 25y43 32y66 33x93 34x116 36x140 36x9 38x20 38y84 39y126 41x83 41y136 43x37 44y6 44x144 44y60 47x31 47y84 48y91 49y83 50y98 51y87 53y1 53x117 53x99 57y25 60y42 60x97 61y132 61y2 62y95 64x57 64y90 65y42 67x19 67x68 71y76 72x17 77x91 79y10 79x54 79y51 81x104 82x39 82x135 82x85 83y23 84y62 85y12 86y49 89x142 90x126 90x12 92x6 93y21 94y27 94y77 97x31 98y11 100y37 100x27 101x65 102y84 103y99 104x104 104x52 105x120 107x137 108x105 108y77 110x8 111x34 111y81 114y137 115y129 117y128 117y118 118y62 119x79 119x3 120x29 124x87 124y2 126x100 126x146 129x39 131y70 131y7 133x55 134x87 134x55 135x106 136x67 137y67 138x78 139x54 139y81 140y136 141y145 141y116 142y95 143x27 144x54 145x24 Reduced: 1x5 1y3 2x8 2y1 3x9 3y8 4x1 5y5 6x6 6y4 7x3 7y9 8x7 8y7 9x2 9y6 Euler number: -7 Graph #2: Original: 1y18 1y6 2y7 2y14 2y34 4y3 4x19 6y10 7y17 10y16 11x2 11y15 13y21 16x31 17x33 19x28 21y1 21x23 22x26 23x28 25x8 26x33 26x7 27y9 30x13 31x34 31x18 31x15 33x16 33x36 34x9 35x6 Reduced: 1x4 2x2 2y3 3x1 3y4 4x3 4y1 Euler number: -3 Resultant Graph: 1x19 2x17 2y11 3x16 3y12 4x18 4y9 5x31 6x29 6y3 7x28 7y4 8x30 8y1 9x35 10x33 10y30 11x32 11y31 12x34 12y28 13x4 14x1 15x3 17y18 18y19 19y16 20x23 21x21 21y14 22x20 22y15 23x22 23y13 24x12 25x10 25y34 26x9 26y35 27x11 27y32 28x27 29x25 29y26 30x24 30y27 31x26 31y24 32x8 33x6 33y22 34x5 34y23 35x7 35y20 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 6461302 Graph #1: Original: 1x9 2x87 3y1 4x74 6y136 8y6 8y135 12x48 13y118 13x115 15x112 19x103 19x107 23y139 24y27 25x32 27x148 28y137 29y29 31x25 32y45 33y19 33y118 33y42 34x119 34x39 35x154 41x145 41y27 41x150 42y38 45x21 47x138 49y154 50y53 53x35 53x80 55y83 57x29 58y160 58x114 58y64 59x134 59x101 62x106 63x70 63x122 64x101 64x7 66x130 66x133 70y46 73x124 73y42 74x45 75y54 76y130 77y41 78y121 79x69 79x17 79y71 80y92 82x119 83y71 84x90 84x42 85x35 85x93 86y31 86y4 87x96 88y156 89y54 90x22 90x10 91y114 91x115 93x140 95x24 96y99 98y110 98x129 100x57 100y149 101x149 102y25 103y15 104y80 106y78 107x111 113x68 113y156 114x148 116y71 119y14 119y117 120x115 120y57 121y103 121x100 122x159 122x95 125x134 125y24 126x34 126y155 129y66 130y19 132y100 133y46 135y74 135y99 138y6 139x99 140x149 141y58 142y107 144x118 145y40 146y43 146y16 147x137 148x9 148x117 149y41 149y92 151y89 151y69 152x63 152y161 153y15 153y123 154x105 155x117 156x144 157y19 159y140 Reduced: 1x6 1y3 2x7 2y4 3x1 3y5 4x5 5x4 5y7 6x3 6y6 7x2 7y1 Euler number: -6 Graph #2: Original: 2y66 3x66 4x77 4y95 4y44 4y44 4x77 8x68 9y97 10x32 11y35 13y99 14y80 17x45 18y80 18y95 18y38 19y44 21x6 23y47 24y75 25y68 26x26 28y15 28y79 31x80 33x56 33y18 34x73 35x85 35y73 35x53 36y3 37y99 38x11 38y61 38y28 39x13 40x42 41x98 41x5 43y20 47x1 50x95 50x81 50y30 51x13 51x14 53x58 54y20 55y67 56x50 57y33 58x50 59x99 60y6 61y63 63y62 63x43 64y70 65y12 68x7 68x75 69y1 71y83 72x99 73y64 74y46 74x27 76y55 77y42 79x52 82y13 84x89 85x96 85x83 85x3 86y18 87x96 87x36 88y89 89y18 90y25 90y8 92y28 93x56 93x96 95y97 96y51 98y67 99y2 99x10 Reduced: 1y4 2x5 2y5 3x2 3y3 4x6 5x1 5y6 6x3 6y2 Euler number: -4 Resultant Graph: 1y15 2x33 2y16 3x30 3y14 4x34 5x29 5y17 6x31 6y13 7y20 8x39 8y21 9x36 9y19 10x35 10y22 11x37 11y18 12y26 13x5 13y27 14x2 14y25 15x6 16x1 16y28 17x3 17y24 18x27 19x24 20x28 21x23 22x25 23y38 24x21 24y39 25x18 25y37 26x22 27y40 28x19 28y36 29y32 30x16 30y33 31x13 31y31 32x17 33x12 33y34 34x14 34y30 35y4 36x10 36y5 37x8 37y3 38x11 39x7 39y6 40x9 40y2 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6515127 Graph #1: Original: 1x42 2x70 4x34 5y28 6x10 10y27 10x38 11y18 12x25 12y91 13x37 13x47 14x22 15y62 17y37 17x15 18y82 18x1 18y76 19x92 21y6 21y58 22y47 26x5 29x71 32y12 33x25 33y31 35x70 35y75 38x69 40x92 41x48 42y67 42y54 42x85 44y41 45y81 46y16 46y67 46x22 49x15 50y8 50y18 51x14 55x80 56x74 57y74 61x48 61x86 62x43 62y64 62y17 63x62 66y71 69y23 70x26 70y46 70y54 71y87 71y72 76y68 76x11 76x31 77x3 77x39 78x36 79x47 79y64 81y58 82x88 82x78 85y27 87x7 88y19 88x34 89x90 90y72 92y13 93x18 Reduced: 1x2 1y3 2x5 2y4 3x4 4x3 4y1 5x1 5y5 Euler number: -4 Graph #2: Original: 1y26 2x42 3x63 4y52 8x53 9y41 10x59 14y16 18x26 18y62 19x78 19y76 19y14 19y55 20x26 21y19 22y17 22x70 28y12 30y75 30x57 31y46 32y39 33y55 34y50 38y40 39x58 39y68 40x71 40x31 41x28 41y52 42x37 42x41 43x51 43x77 43x28 44y66 44x74 45x62 46x42 48y69 48y75 50y8 51y69 56x45 57x50 58y55 60y64 61x66 61x13 62x42 63x39 63y17 64x26 65x16 67x73 69x1 70y37 70x47 71y9 72x38 72x26 73y8 73x52 74x36 76x78 77y67 78x23 78y18 Reduced: 1y5 2x6 2y2 3x8 3y8 4x1 4y7 5x4 5y1 6x3 6y4 7x2 7y6 8x5 Euler number: -6 Resultant Graph: 1y21 2x14 2y18 3x16 3y24 4x9 4y23 5x12 5y17 6x11 6y20 7x10 7y22 8x13 9y29 10x38 10y26 11x40 11y32 12x33 12y31 13x36 13y25 14x35 14y28 15x34 15y30 16x37 18x30 19x32 20x25 21x28 22x27 23x26 24x29 25y5 26x22 26y2 27x24 27y8 28x17 28y7 29x20 29y1 30x19 30y4 31x18 31y6 32x21 33y37 34x6 34y34 35x8 35y40 36x1 36y39 37x4 37y33 38x3 38y36 39x2 39y38 40x5 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6529327 Graph #1: Original: 1y118 2y130 6y135 7y74 8y139 8y155 9x135 10x20 11y130 11y10 12y143 12y103 12y50 14x37 17y44 18y148 18x9 18y16 21x6 21x123 21x50 25y161 26x29 28y1 28x39 30x44 31x45 32x58 36y73 37y13 37x4 38y132 38x2 39y129 40x47 40y75 42x4 42x31 43x69 43y125 44y83 45x114 46y50 49x82 49y75 52y102 54x151 54x111 55x134 55x33 56x128 56x94 56x71 58y86 59y122 62y44 64y134 64y85 64y24 67x128 69y99 69y14 69x147 72y63 72y145 72x76 73y63 73x135 73x68 75x23 76y157 78y139 80y34 80x8 82y56 82y105 83y86 84y120 84y107 84y41 84x48 86x16 87y17 92y46 93x157 93y42 94y25 94y152 101y13 104y130 105y113 108y130 110y89 110x144 111x157 113y136 113y92 113x64 114y47 115y29 119x59 120x158 122x143 124x20 125y150 125x42 127y159 127y20 129y4 132y129 133x123 133x149 134x118 137y91 138y8 138y38 139x151 140y118 141y103 142x70 144x57 144y129 145y61 145x116 145x120 146y136 147y110 151x153 151x33 155y3 156y154 158y113 160x49 161y110 Reduced: 1y4 2x12 3x17 4x2 4y7 5y2 6y16 7x4 7y1 8y17 9y12 10x3 10y13 11x7 11y9 12y8 13y15 14x5 14y10 15y5 16y18 17x6 17y14 18x18 18y11 Euler number: -7 Graph #2: Original: 2y119 3x120 4x100 4x92 5y26 5x20 5x29 6y28 8x41 9y111 10x56 11y93 11x92 13y60 13x74 15x84 17x40 18y23 19x44 22y61 23x44 23y102 23x113 24x43 25x21 25y50 27x62 28y108 29y76 29x117 29x93 32y72 33y107 35y104 36x24 38x13 39x54 40y123 40y47 41x115 42x91 43y16 43x94 45x28 46y14 46y83 47x34 48y4 50y121 51x2 53y31 55y1 59y49 59y60 60y14 60x3 60x106 61x121 62x14 62y121 63x50 64x72 65y12 65y10 66x116 66y16 69x97 70y6 72x40 74y95 75y28 76y119 76x110 78x115 79y112 80x98 80x76 81y19 82y48 85y65 87y93 88y114 89x9 90x82 91y31 92x68 93x84 97y51 97y77 98x86 98y119 98y84 100x18 101x89 102x110 102y87 103x85 103y117 104x116 105x59 107x42 107y112 107x32 109y32 110y64 111y29 114x23 115x79 116x122 116x21 117y70 118y94 121x92 122x104 123x39 124y1 Reduced: 1x2 1y3 2x3 2y4 3x1 3y2 4y1 Euler number: -3 Resultant Graph: 1y13 2y14 3y12 4y11 5x43 6x44 7x42 8x62 9x63 10x61 11x6 11y24 12x7 12y25 13x5 13y23 14y22 15y7 17y6 18y5 19y59 20y60 21y58 22x12 22y3 23x13 23y4 24x11 24y2 25y1 26y63 27y64 28y62 29y61 30y44 31y45 32y43 33y42 34x9 34y48 35x10 35y49 36x8 36y47 37y46 38x23 38y32 39x24 39y33 40x22 40y31 41y30 42y28 43y29 44y27 45y26 46y56 47y57 48y55 49y54 50x16 50y36 51x17 51y37 52x15 52y35 53y34 54y17 55y18 56y16 57y15 58y68 59y66 60y65 61x20 61y52 62x21 62y53 63x19 63y51 64y50 65x66 65y40 66x67 66y41 67x65 67y39 68y38 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 6538826 Graph #1: Original: 2x53 6y11 6x70 6y57 7x16 9y8 10x72 12x18 12y33 13y52 13y44 14x21 15x80 15x9 20y59 23y1 23y21 25y1 30y39 31x38 31y60 32y79 33y23 34x62 34y69 36y51 37x10 37x36 38y57 38y64 39y27 40x77 42x12 46y52 46y2 46y80 47x72 48x44 49x18 51y6 54y68 54x83 54x12 55x41 55x61 56y39 56x21 57y29 58y53 60x50 60x61 61y84 62x68 63y76 63x22 66x62 66y1 67y84 68x43 69x23 74y66 75y36 78y26 79y84 79x46 80x62 82y54 82x79 83y55 84x10 Reduced: 1x3 2x5 2y3 3x4 3y1 4x1 4y2 5x2 5y5 Euler number: -4 Graph #2: Original: 1x71 4x111 9x23 9y100 11x136 12y30 13x144 13y103 13y76 15x35 16y143 16y44 17x144 20x6 20x71 21x94 22x67 23x132 24y67 26x2 26x85 27y58 28x26 28x135 29y3 29y101 30y72 30y84 32y96 32x126 33y37 33y73 35x25 37x123 37y146 38y68 38y95 39x13 39y61 40x28 40x117 42y16 43y64 44y32 44x85 46y78 47y8 47x133 48y52 48y2 49y87 50x42 50y73 51y18 53x101 53x112 54y10 55y102 56y68 57x119 59y35 59x101 60x105 63y107 63y45 65y125 67y110 67y32 68x105 68y14 68x55 69y114 69y26 69y43 70y116 70y108 74y106 74y49 76y3 80y65 85x40 85x80 88y132 91y4 91y55 92x36 94x146 95x89 96x147 98y8 99x105 101x7 101x2 102y8 103y120 105x102 106y20 106x44 107y24 107x78 109y71 109x79 118x109 118y58 119y138 121y143 121y146 122x32 124x69 126x16 132x147 132y118 133y5 135y139 135x73 136y101 137x128 137y122 138x4 138x129 139x120 140x80 141y29 141y19 146y81 147y89 147y56 Reduced: 1x2 1y4 2x8 2y1 3x7 4x1 4y9 5y11 6x5 7x3 7y3 8x4 9x11 9y6 10x10 10y2 11y7 Euler number: -6 Resultant Graph: 1x23 2x29 3x28 4x22 5x26 6x24 7x25 8x32 9x31 11x44 11y25 12x50 12y22 13x49 14x43 14y30 15y32 16x47 17x45 17y24 18x46 19x53 19y27 20x52 20y23 21y28 22x34 22y4 23x39 23y1 24x38 25x33 25y8 26y10 27x37 28x35 28y3 29x36 30x42 30y5 31x41 31y2 32y6 33x2 33y14 34x7 34y11 35x6 36x1 36y19 37y21 38x3 38y13 39x4 40x10 40y16 41x9 41y12 42y17 43x12 43y46 44x18 44y43 45x17 46x11 46y51 47y53 48x15 49x13 49y45 50x14 51x21 51y48 52x20 52y44 53y49 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6546912 Graph #1: Original: 1y2 2x104 4y45 5x56 5x79 5y26 7x60 8x38 8y28 9x75 11x2 13y4 15y86 16y94 17y86 17x112 17x44 18y123 19y40 20x126 20y11 23y98 23y10 23x27 25y125 26y121 26y131 26x91 28y47 29x15 32y5 32x78 32y65 34x107 34x22 34y85 38x122 39y102 39x43 40x105 40y40 40x131 41y34 42x121 43y56 46x95 46y59 46y17 48x114 48x136 49x14 50x91 54y93 55y127 56x60 57x123 57x26 57y76 59x12 60y134 64x79 64x4 67x20 67y67 69x95 72x7 72y116 73y50 77x76 81y56 81x107 82x121 84y30 85y32 86x81 87y86 88x21 89x11 89x81 90y43 91x83 95x63 95x109 99x3 100x30 100y27 101y104 102y46 102x50 103y98 104y53 104x56 108y35 110y125 112y27 114y57 118y28 118x137 120y111 120y51 121x76 122y127 123y115 124y7 125y85 128y10 128x68 130y136 130x52 131x29 132x55 132x102 132x44 135x113 138x73 Reduced: 1y15 2y9 3y12 4x3 4y6 5x10 5y5 6x13 6y13 7x12 7y7 8x2 8y3 9y8 10y11 11x15 11y2 12x6 13x4 13y14 14x11 14y4 15x8 Euler number: -8 Graph #2: Original: 1x21 1x24 2x17 3x17 5x5 5y28 6x5 7y16 7y19 8x4 12y10 13x29 14y1 15x2 16y1 17x9 17x26 21y29 22y5 22x27 23x9 24x19 24x16 26y18 26x22 27x28 27x14 28x22 28x8 29y23 Reduced: 1x4 1y5 2x2 2y4 3x1 3y2 4x3 4y3 5y1 Euler number: -4 Resultant Graph: 1y40 2y39 3y37 4y38 5y36 7y53 8y51 9y52 10y50 11x9 11y25 12x7 12y24 13x6 13y22 14x8 14y23 15y21 16x44 16y20 17x42 17y19 18x41 18y17 19x43 19y18 20y16 21x57 21y58 22x55 22y57 23x54 23y55 24x56 24y56 25y54 26x53 26y30 27x51 27y29 28x50 28y27 29x52 29y28 30y26 31x4 31y10 32x2 32y9 33x1 33y7 34x3 34y8 35y6 36y35 37y34 38y32 39y33 40y31 41y49 42y48 43y46 44y47 45x67 45y5 46x65 46y4 47x64 47y2 48x66 48y3 49y1 50x24 51x22 52x21 53x23 54x14 54y63 55x12 55y62 56x11 56y60 57x13 57y61 58y59 59x48 59y15 60x46 60y14 61x45 61y12 62x47 62y13 63y11 64x34 65x32 66x31 67x33 Euler number: -31 Ratio: 0.96875 --------------------------------------------- Iteration 6639185 Graph #1: Original: 1x5 1y25 2x21 2y23 3y17 3x17 4x3 5x22 6x10 9y5 9y10 10y19 11x26 16y2 18y9 18y18 19y7 21x5 23x15 23x22 23x27 23x20 24x26 24x14 25y27 27y4 Reduced: 1x4 1y4 2x1 2y5 3x5 3y3 5x3 5y2 Euler number: -3 Graph #2: Original: 1x64 4x123 6y141 7x121 7x1 8x73 9x80 9x12 12y100 14y96 15x140 16x80 16y72 17x81 17x71 17y103 17y3 18x91 18y106 19x117 20x96 20y126 20y123 25y111 30x7 31x137 37y85 38x80 39x106 41y110 44y92 44x87 44y115 45y137 46y119 47y89 49y42 50x61 50y47 51x125 53y40 55x90 55y127 56y3 61y114 62x116 62y30 62x6 64x109 65x23 65x95 66y110 66x31 68x52 68x95 74x110 80y31 80x32 83y129 83y97 86y66 88y118 88y119 89y13 89x7 93x70 94x103 95y55 96y37 97x67 97x108 100y1 101y30 101y70 102y99 104y10 104x113 104y3 105y31 105x103 107y137 108x40 108y20 110y65 111y75 114y102 114x33 115x38 115y63 115y35 116x44 120y129 123x124 123x78 123x109 125y83 125x75 126x47 126y113 127y105 127x139 128y85 129y24 130y49 131y32 133y8 134y34 135y9 135x121 135y139 137y85 137y61 138y17 138x85 138y69 138x68 139y109 142x140 142x81 Reduced: 1x4 1y7 2x3 2y10 3x10 3y8 4x9 4y2 5x11 5y4 6x7 7x8 7y1 8x1 8y5 9x2 9y6 10x5 10y9 11x6 11y3 Euler number: -10 Resultant Graph: 1x37 1y40 2x36 2y43 3x43 3y41 4x42 4y35 5y37 6x40 7x41 7y34 8x34 8y38 9x35 9y39 10x38 10y42 11x39 11y36 12x4 12y50 13x3 13y53 14x10 14y51 15x9 15y45 16x11 16y47 17x7 18x8 18y44 19x1 19y48 20x2 20y49 21x5 21y52 22x6 22y46 23x47 23y29 24x46 24y32 25x53 25y30 26x52 26y24 27x54 27y26 28x50 29x51 29y23 30x44 30y27 31x45 31y28 32x48 32y31 33x49 33y25 44x26 44y18 45x25 45y21 46x32 46y19 47x31 47y13 48x33 48y15 49x29 50x30 50y12 51x23 51y16 52x24 52y17 53x27 53y20 54x28 54y14 Euler number: -29 Ratio: 0.9666666666666667 --------------------------------------------- Iteration 6661969 Graph #1: Original: 1y24 2y20 3x19 3y1 6x33 7y35 8y19 9y13 10x2 11y74 12x68 15x59 16x39 17y25 18x44 19x55 20y53 21y52 22x51 22y1 23y16 27x43 27y4 28y21 29x21 29x19 31y50 32x4 33y23 34y6 35x46 35y41 35x42 36x74 37y17 40y57 41x52 41y18 41y77 41y56 42y45 43y72 44x27 44x18 46x6 47y77 47y54 48y49 48x54 49x6 49x12 50y54 51x65 55y37 56x16 57y76 59x26 60y67 62x30 63y60 65y74 65y16 66y40 69x5 69x62 70x67 70y4 70y63 72y31 72x65 74x73 75y9 77x74 77x2 Reduced: 1x5 1y3 2x3 2y4 3x2 3y7 4x6 4y5 5x4 5y1 6x7 6y2 7y6 Euler number: -6 Graph #2: Original: 1y69 2x10 2x134 5x35 6y64 8x90 9y159 10x133 11y43 14y96 16y27 17y105 19y151 20y102 22x92 25x20 26x134 27x146 30x65 31y141 31x171 32y95 35x49 39x114 39y74 39x133 42y134 43y10 44y18 45y107 48x68 48y79 49y125 49x147 50y157 51y81 52x145 52y114 54y107 55y88 56x44 59y172 59y21 59x137 60x76 61x102 62x6 63y15 64y96 64x131 65x151 65x69 68x66 72y20 72y13 73y166 73y79 73y77 75y165 75x39 77y174 78x67 79x165 79x149 79y76 80y117 80y35 82x7 83y71 83y168 84y49 85x19 86x145 89y91 91y14 92x168 94y167 95x17 96y36 97x90 102y139 102y59 102x171 103x120 104x58 106y135 107x158 117y3 118x174 119y113 120x154 123y65 123y64 124x93 124x73 126x90 127x117 130y133 131x107 132y94 132y165 132x121 135y41 141x137 141x134 146x18 147x79 149x110 149x20 151x94 152x140 153y89 153x92 154y153 155y158 159x82 160y140 160x78 161y37 161y1 162x2 163y47 164y11 164x154 164x156 166x81 166y75 166x41 167y15 170x19 171y6 172x152 173x41 173y18 173y140 Reduced: 1y2 2y4 3x9 3y1 5x8 5y9 6x5 6y7 7y3 8x4 8y6 9x6 9y8 Euler number: -4 Resultant Graph: 1y19 2y21 3x42 3y18 4x41 4y26 5x38 5y24 6y20 7x37 7y23 8x39 8y25 9y27 10y29 11x26 13x25 13y34 14x22 14y32 15y28 16x21 16y31 17x23 17y33 18y53 19y55 20x17 20y52 22x16 22y60 23x13 23y58 24y54 25x12 25y57 26x14 26y59 27y37 28x51 28y35 30x50 30y42 31x47 31y40 32y36 33x46 33y39 34x48 34y41 35y2 36x34 36y1 38x33 38y8 39x30 39y6 40y3 41x29 41y5 42x31 42y7 43y10 44y12 45x60 45y9 47x59 47y17 48x56 48y15 49y11 50x55 50y14 51x57 51y16 52y44 53y46 54y43 56y51 57y49 58y45 59y48 60y50 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6670586 Graph #1: Original: 1x2 2x26 3y39 4x15 4y54 7x72 7y23 9x18 10y51 10y25 11y43 12x65 12x22 14y20 15y32 18y15 18x45 18y6 20y52 22y61 22y41 24y19 26y70 28y68 30x45 31y15 31y40 31y69 32x42 32x58 32x60 35y13 36y20 37x1 38x23 40x14 40y17 41y63 43y10 43y48 44y21 46y55 48x65 48x72 50x27 51y14 52y13 54x17 55y10 57y7 57y26 57y54 58y31 58x18 62y9 67y70 70x12 72x61 Reduced: 1x8 1y7 2x5 2y5 4x9 5x6 5y6 6y8 7x2 7y9 8x3 8y2 9x7 9y3 Euler number: -5 Graph #2: Original: 1y101 2x133 5y104 6x124 7x116 8y53 8x90 9x108 11x131 12y113 13x123 15x32 17x32 17x128 18x101 18y13 19y105 20y20 21x19 24x121 24x27 25y93 25x14 27y26 31y13 33y9 33y85 34y5 35x97 36y53 38x34 38y50 38y68 41y75 41y98 41x106 43y76 44y23 45x67 46y65 46y1 49y57 49x52 51y10 52y87 53x84 54x133 55x41 56y14 57x9 61x122 62x28 65y50 66y31 67x57 67x91 68y42 69y64 69y41 70x9 70x24 72y119 72y123 73y104 74x14 76y51 77y46 80x76 80x53 80x108 82x61 83x62 83y121 84y104 84x6 87x79 89x119 89x19 89y16 90y64 91x80 93x11 93x7 96y13 97x116 98y79 98y31 99x26 100x93 102x25 103y12 104x93 105y51 106y23 110x14 111y96 112x59 114y103 116y56 118x51 119y8 119x15 120y125 121y20 121x73 123y49 124y1 125x60 125x56 128y92 133x126 133y28 Reduced: 1y4 2x5 2y6 3x7 3y2 4y1 5x6 5y3 6x1 6y5 7x3 7y7 Euler number: -5 Resultant Graph: 1x42 1y36 2x44 2y33 3x43 3y34 4x38 4y35 5x40 5y37 6y21 7x22 7y23 8x24 8y19 9y18 10x23 10y20 11x18 11y22 12x20 12y24 18y28 19x29 19y30 20x31 20y26 21y25 22x30 22y27 23x25 23y29 24x27 24y31 25y41 26y43 27y39 28y38 29y40 30y42 31y44 32y47 33x10 33y49 34x12 34y45 35x11 35y46 36x6 36y48 37x8 37y50 38y9 39x15 39y11 40x17 40y7 41y6 42x16 42y8 43x13 43y10 44x14 44y12 45x35 45y16 46x37 47y13 48x36 48y14 49x32 49y15 50x34 50y17 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 6693472 Graph #1: Original: 1y60 2y69 4x54 6x82 10y94 11x9 14x72 15x24 16x41 17y52 18x81 19y66 19x9 20y93 20x40 21x14 21x75 22x41 22y100 24x69 24y45 24x1 26x73 28x56 28y13 29x15 31x52 32x8 33x39 33x72 34x89 35x15 36x62 37x88 38y64 40y98 40y4 40x18 47y102 49y55 49y11 51x104 52x25 54y79 54y37 55x9 56x60 60y15 61x61 62y54 62x31 63y56 67x103 68y16 69x10 70y55 71y69 72y95 72y51 72y53 74y38 74x71 75x27 77y59 78y48 78x51 80x84 81x20 82x51 83y48 84x81 85x68 87y55 88y21 88y1 89x83 92y7 93y52 93x91 93y89 94y46 94x90 94x61 95y69 97y72 98x91 99y91 100y34 101x30 101y79 102y47 103x69 104y38 Reduced: 1x6 1y5 2x4 2y1 3x1 3y2 4x2 4y3 5x5 6x3 6y4 7x7 7y6 Euler number: -6 Graph #2: Original: 1y18 1x31 2y42 3y27 3y51 4x33 4x61 5x54 5x40 9x51 12x61 15y39 15y62 15y38 16x37 17x55 17y56 18y64 19x61 20y3 21y13 22x64 26y29 27x10 31x17 33y38 35y24 37x5 38x20 39x46 41y63 42y35 42x54 43y32 45x11 45y53 46y31 47y64 48x37 48y3 49y31 51y63 54x10 55y24 56x58 56x19 57x7 57y41 57y58 59x22 60x19 61x46 63x34 63y11 65y63 65y37 66x58 68x9 69x39 69x33 71x7 71x67 Reduced: 1x9 2x7 2y9 4x2 4y4 5x8 5y3 6x3 6y5 7x5 8x4 8y7 9x6 9y8 Euler number: -5 Resultant Graph: 1x46 1y40 3x41 3y35 4x47 4y34 5x42 5y36 6x44 7x43 7y38 8x45 8y39 9x30 9y8 11x25 11y3 12x31 12y2 13x26 13y4 14x28 15x27 15y6 16x29 16y7 17x6 17y16 19x1 19y11 20x7 20y10 21x2 21y12 22x4 23x3 23y14 24x5 24y15 25x14 25y24 27x9 27y19 28x15 28y18 29x10 29y20 30x12 31x11 31y22 32x13 32y23 33x38 35x33 36x39 37x34 38x36 39x35 40x37 41x22 41y32 43x17 43y27 44x23 44y26 45x18 45y28 46x20 47x19 47y30 48x21 48y31 49x53 49y48 50x49 50y43 51x54 51y42 52y44 53x51 54x50 54y46 55x52 55y47 Euler number: -29 Ratio: 0.9666666666666667 --------------------------------------------- Iteration 6709870 Graph #1: Original: 2y60 3y33 4y1 4y77 5y91 7x38 7y91 12y56 16y89 17y14 18y98 21x47 22y69 24y53 25y47 26y44 27x58 28y37 28y16 30y21 31x3 32x18 35y57 35x42 37x85 38y61 38x11 39y53 40y47 42y100 43y73 44y57 45y17 45y35 46y73 47y59 48x44 48x11 48y20 48y19 50x3 51x47 51y10 52x42 53y83 57x17 58x42 59y44 61x55 61x36 61y7 63y34 66y29 66y83 68y102 70x46 71x43 73y77 73x47 74x77 75y88 75x73 76x56 77x90 77y90 77x75 77y105 78x26 78x102 78y32 80y8 83y53 84x69 84x19 87x82 90y63 91y47 92y41 94x23 94y72 95x2 95y39 95y15 96y27 97y101 97x85 97y106 98y66 98x99 99y83 100x47 104x74 104y1 105x76 Reduced: 1y8 2x5 2y3 3y7 4y2 5x8 5y4 6y9 7x10 7y1 8x6 8y5 9x7 9y10 10x13 10y13 11x12 11y12 12x1 12y11 13x9 Euler number: -8 Graph #2: Original: 2y54 3y69 4y55 7x62 7x9 8y66 12x62 12y5 13y50 14x76 15y35 17x30 19y15 20y21 21x42 22x39 23x5 24x64 25x8 28y46 29y2 29x13 32y15 32x42 32x35 33y21 36x10 37x35 39x2 39x51 40x68 40x8 41y30 43x74 44y76 45y11 46y58 46x2 50x5 52x42 53y53 53x27 53y23 54x73 55x7 56x44 56x25 61x21 61x55 61x30 61x19 63y48 65x35 67x57 68x38 68y4 69y69 71y32 71x16 76x62 76x34 76y21 Reduced: 1x6 1y4 2x1 2y2 3x2 3y5 4x4 4y6 6y1 Euler number: -3 Resultant Graph: 1y30 2y29 3y31 4y28 5x20 5y11 6x17 6y10 7x19 7y12 8y9 9y26 10y25 11y27 12y24 13y7 14y6 15y8 16y5 17x31 17y15 18x28 18y14 19x30 19y16 20y13 21y34 22y35 23y32 24x39 24y3 25x36 25y2 26x38 26y4 27y1 28x23 28y19 29x21 29y18 30x22 30y20 31y17 32x27 32y38 33x24 33y37 34x26 34y39 35y36 36x51 36y50 37x48 37y49 38x50 38y51 39y48 40x47 40y46 41x44 41y45 42x46 42y47 43y44 44x4 44y42 45x1 45y41 46x3 46y43 47y40 48x35 49x32 50x34 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6714458 Graph #1: Original: 1x81 2x73 3x42 4y87 4x72 5x35 5x72 7y4 8y70 8y74 9x50 9y51 11y35 12x84 12x25 12x86 13y20 15y28 15x24 17y89 18x85 20y45 20x15 21x32 22y6 23x97 23x100 24y35 27y39 27y71 28x45 30x34 33x41 33x98 34y8 34x47 37y69 38y49 38y27 39y33 39y33 40y29 43x58 43x41 45y48 45y87 46x94 48x44 48x78 50x62 51y7 54x60 55x33 56x9 57x18 57x23 57y72 60y29 61y93 61y32 61y10 62x21 65y28 66y19 68y90 69y17 70y87 71x64 72y3 74x1 76x53 78x43 81y7 82y30 83x103 84x28 85x74 86x100 88y22 89y89 89x98 90y26 91x91 93x103 93x58 94y87 94y47 95y21 97y63 97y44 100x99 102x7 104y24 105y69 Reduced: 1x2 1y2 2x5 2y3 3x6 3y10 4x9 5x7 6x8 6y9 7x11 8x4 8y1 9x10 9y7 10x1 10y5 11y11 Euler number: -7 Graph #2: Original: 2y62 2x40 4y49 4x61 5x31 5x61 5y37 5x61 6y71 9x71 10x7 15y46 16x38 17x40 20y56 25y60 28x1 29x68 29y59 30x31 30x29 31x38 32x68 33x61 33x40 39y11 39x21 39y22 41y38 41x10 42x66 42y43 42x9 44y9 44y51 45x11 45y16 47x28 47x32 48y53 51y55 51y50 52x39 54x16 57x62 58x41 58x72 58y55 58x13 59y65 61x42 61x60 61y12 63y21 63x27 64y22 67x15 68x26 69y41 70x18 72x30 72x63 72y20 73x55 73x40 73y58 Reduced: 1x4 1y5 2x1 3x2 3y4 4x5 4y2 5x3 5y1 Euler number: -4 Resultant Graph: 1x9 1y10 2x6 3x7 3y9 4x10 4y7 5x8 5y6 6x24 6y15 7x21 8x22 8y14 9x25 9y12 10x23 10y11 11x29 11y50 12x26 13x27 13y49 14x30 14y47 15x28 15y46 16x44 17x41 18x42 19x45 20x43 21x34 22x31 23x32 24x35 25x33 26x39 26y45 27x36 28x37 28y44 29x40 29y42 30x38 30y41 31x54 32x51 33x52 34x55 35x53 36x19 36y5 37x16 38x17 38y4 39x20 39y2 40x18 40y1 41x49 41y35 42x46 43x47 43y34 44x50 44y32 45x48 45y31 46x4 46y25 47x1 48x2 48y24 49x5 49y22 50x3 50y21 51y55 53y54 54y52 55y51 Euler number: -27 Ratio: 0.9642857142857143 --------------------------------------------- Iteration 6730330 Graph #1: Original: 2x44 3x31 3x30 4y19 4y24 4y50 8y54 8x16 9x10 9y39 12y6 12y40 12y30 16y51 17x49 17y49 19x35 19y28 19y54 20x46 23x12 23y53 24y23 25y7 26y6 26y11 27y39 28y43 29y29 33y3 34y59 35y51 39y53 40x16 41y61 41y1 44x10 44x31 47y23 48y48 49x25 49x23 51x41 53x15 53y11 55x44 57x45 57y25 60x14 60x18 Reduced: 1x5 1y5 2x3 2y3 3y4 4x4 4y2 5x2 Euler number: -3 Graph #2: Original: 1x24 1y5 4y9 4y13 5y10 5x16 7y25 8x3 8y5 9y4 12x38 13x22 13x21 15y25 16y31 17x25 17x32 17y16 18y22 18y26 20x30 20y32 20y9 21y6 23y42 23x42 26x33 27y1 27x11 30x2 31y23 31x8 32y26 33x12 33y33 34x3 34y10 36y32 36y19 37x18 38y8 39y2 40y38 42x6 Reduced: 1x7 1y3 2x5 2y5 3x8 3y8 4x1 4y4 5x4 5y2 6y1 7x6 7y7 8x2 8y6 Euler number: -7 Resultant Graph: 1x38 1y34 2x36 2y36 3x39 3y39 4x32 4y35 5x35 5y33 6x37 6y38 7x33 7y37 8x22 8y18 9x20 9y20 10x23 10y23 11x16 11y19 12x19 12y17 13y16 14x21 14y22 15x17 15y21 16y26 17y28 18y31 19y27 20y25 21y24 22y30 23y29 24x30 24y10 25x28 25y12 26x31 26y15 27x24 27y11 28x27 28y9 29y8 30x29 30y14 31x25 31y13 32x14 33x12 34x15 35x8 36x11 38x13 39x9 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 6742218 Graph #1: Original: 1y11 2x80 2y49 2y17 2x37 3x9 4x35 4x19 4x113 5y55 8x106 11y90 12y24 13y110 14y52 15y42 16y106 17y111 18x88 22y82 23x42 24y105 25y14 27x2 28y6 29y89 30x109 31y60 31y13 35y34 36y7 37x13 37y43 37x45 38y113 39x58 47y43 50x111 50x104 51y76 52y11 56y105 56x107 57y52 59x86 60y90 61y99 61x11 62y59 63x96 68x27 69y18 69x16 69y27 73x85 73y39 73y12 76x100 77y103 77y92 77x40 78x100 78x95 78y33 78x20 79y50 81y2 82y22 83y37 86y91 87x16 88x49 89x59 89x3 90y66 90y113 90y54 90y66 91y33 92x106 94y105 94y14 95y27 98y55 100x99 102y68 103y77 104x113 106y3 106y95 107x91 109y69 110y74 113y12 113x22 114x26 114x20 Reduced: 1x4 1y4 2y9 3y6 4x2 4y16 5y15 6x8 6y12 7x1 8x17 8y14 9y13 10x16 10y7 11y2 12y11 13x5 13y3 14y8 15y5 16x13 16y17 17x10 17y10 Euler number: -8 Graph #2: Original: 5x18 5y35 6x17 6y9 7x3 8x10 8y25 8y12 11y18 11y41 12y18 12x2 12x4 13y36 13x15 18x20 18y32 19x33 22x2 23y32 23x29 25x11 25y21 27x14 28x28 28y16 28x17 29y37 30x25 33x32 34x40 34y2 35y34 36y8 37x19 38x29 41x7 41y28 42y32 43y30 Reduced: 1x1 1y4 2x2 2y3 3x3 3y1 4y2 Euler number: -3 Resultant Graph: 1x12 1y15 2x13 2y14 3x14 3y12 4y34 5y33 6y31 7y32 8y23 9y22 10y20 11y21 12x4 12y62 13x5 13y61 14x6 14y59 15y60 16y58 17y57 18y55 19y56 20x27 20y46 21x28 21y45 22x29 22y43 23y44 24x1 25x2 26x3 27x63 27y54 28x64 28y53 29x65 29y51 30y52 31y50 32y49 33y47 34y48 35x59 36x60 36y26 37x61 37y24 38y25 39y7 40y6 41y4 42y5 43y42 44y41 45y39 46y40 47x16 47y11 48x17 48y10 49x18 49y8 50y9 51y30 52y29 53y27 54y28 55y19 56y18 57y16 58y17 59x47 59y66 60x48 60y65 61x49 61y63 62y64 63x35 63y38 64x36 64y37 65x37 65y35 66y36 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6771764 Graph #1: Original: 2y97 4x58 10y104 12x83 14y30 14y100 15x104 16y83 18x55 20x88 20y74 20x105 21y92 21y83 21x85 22y37 23y68 23x9 23y71 24y82 24x17 26x42 26x74 29x100 29y65 32y40 33x32 34x20 34x27 35x63 39y71 44y22 46x37 47y50 47x36 48x11 49y55 49x97 50y5 51x97 51x81 54x27 55x38 56y18 57y51 59y96 60y43 64x73 64x59 64y96 66y7 68x96 71y45 71y10 72y25 72x103 74y96 76y19 77y76 78x96 78y11 79x46 79y11 80y32 81y5 82y62 88y82 92y87 92x85 95x63 96x107 96x40 97y61 98x89 99x43 99x6 99y69 100y105 100x2 101x39 102x15 103x49 104x30 105x92 106y55 106x20 107x29 107x32 108x58 108y54 108y17 Reduced: 1y9 2x10 3x3 3y6 4x11 4y5 5x4 6x5 7x6 7y8 8y4 9x2 9y3 10x9 10y10 11x1 11y2 Euler number: -6 Graph #2: Original: 1y2 3x37 4x94 4x10 7y38 7y6 9x57 10y13 10x28 12y81 12x56 13y38 14y67 14x44 16y73 16y48 17y10 18y26 20x2 22y52 24x56 24x6 26x3 28y59 31y68 32y21 32x40 32x59 34x42 35y2 36x65 36y12 37x29 39x51 39y6 41x86 42y3 44x1 48y29 49y30 50y76 51x9 51x15 51y93 53x3 53x14 54y75 55x50 56x16 57x15 57y23 59x25 63y14 67y21 68y25 70y15 72y21 72y97 73y72 74x60 75x87 75y84 76x59 76y96 77x61 77x48 78x30 78y85 79x98 79y69 81x40 82x5 83x6 84x45 85y82 86y80 89y3 89x96 89y66 90y78 91x11 94x42 96y81 96x19 97y47 Reduced: 1x4 1y2 2x3 2y1 3x5 3y5 4x1 5x2 5y3 Euler number: -4 Resultant Graph: 1y39 2y38 3y42 4y40 5x46 6x45 7x47 8x43 9x44 10x13 10y26 11x12 11y25 12x14 12y29 13x10 14x11 14y27 15x51 15y21 16x50 16y20 17x52 17y24 18x48 19x49 19y22 20x18 21x17 22x19 23x15 24x16 25x23 26x22 27x24 28x20 29x21 30x28 30y35 31x27 31y34 32x29 32y37 33x26 33y36 34y16 35y15 36y19 37y17 38x8 38y11 39x7 39y10 40x9 40y14 41x5 42x6 42y12 43x41 43y44 44x40 44y43 45x42 45y47 46x38 47x39 47y45 48y6 49x3 49y5 50x4 50y9 51x1 52x2 52y7 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6780058 Graph #1: Original: 3y30 4x35 5y15 7x27 7x28 8x10 9x18 9y27 10y3 10y35 11x11 11y4 12y30 12x21 12x24 13x30 14y22 14x30 16x8 17y33 18x19 18y32 20x6 21y1 21x2 23x26 23y11 23x17 24x12 25x34 26y34 26x28 28x13 29y8 30x29 31x15 33y10 33y14 34x14 Reduced: 1x4 2x2 2y1 3x5 3y4 4x1 4y5 5x6 5y2 6x7 6y7 7x3 7y3 Euler number: -6 Graph #2: Original: 3y9 4y37 4x108 7x21 8y31 9y77 10y5 11y71 12x119 16y56 17y1 18y63 20x19 20x81 22x65 23y82 23x30 24y70 25x79 26x57 27x36 28y86 28x114 29y19 29x78 30x89 31y49 33x81 34x6 35x87 35x129 39x133 39x10 40x106 46x8 47y116 48y50 50x94 51y8 51y67 54x27 54x1 57x9 57x33 58y87 59x78 59x73 62y89 63x66 64x71 66x31 67x101 68y120 69y75 71y64 72x86 73x117 73y25 76y47 76y104 77x71 77y29 78x3 81y112 81x32 82x22 83y79 85x44 85y82 85x53 86y31 87x23 87x51 90y68 93x50 96x88 101y25 101x72 105x102 106y109 106y85 106y52 109y8 110x70 110x108 113y25 115x8 115y126 116y82 119x103 119x82 120y77 122x77 125x100 126x19 129y101 129y97 131y83 132y65 Reduced: 1x4 1y3 2x1 2y6 4x2 5x6 5y1 6x3 6y5 7x5 7y4 Euler number: -4 Resultant Graph: 1x24 2x21 4x22 5x26 6x23 7x10 7y3 8x7 8y6 10x8 11x12 11y1 12x9 12y5 13x11 13y4 14x31 14y23 15x28 15y26 17x29 18x33 18y21 19x30 19y25 20x32 20y24 21x4 21y30 22x1 22y33 24x2 25x6 25y28 26x3 26y32 27x5 27y31 28x37 28y9 29x35 29y12 31x36 32x39 32y7 33y11 34x38 34y10 35x44 35y43 36x41 36y46 37x42 38x46 38y41 39x43 39y45 40x45 40y44 41x17 41y16 42x14 42y19 44x15 45x19 45y14 46x16 46y18 47x18 47y17 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6788638 Graph #1: Original: 3y67 3x33 3x62 4x34 5x39 6x8 7y52 8y56 8y43 8y9 10y40 11x73 14y6 15y59 16x6 19y64 20x51 22y30 22y36 26x74 27x42 30y58 30y23 31y30 32y35 34y39 40x2 43y40 45y41 45x20 47x67 48x63 49x35 51x30 52y76 52y7 54x62 55x59 57y2 58y44 58x40 58y22 59y77 59y59 59x43 59x39 64y69 64x40 65x60 66y58 67x72 67x49 68x18 69y53 69y6 70x59 71x15 72y75 73x46 73x48 75y9 75y24 75x16 76y32 76x39 77x33 Reduced: 1x5 1y1 2x1 3x4 3y5 4x3 4y4 5x2 5y3 Euler number: -4 Graph #2: Original: 4x30 6x94 6x27 7x95 7y6 7y12 8x41 9y76 9y97 10y54 12x28 18x97 19x61 20y68 20x73 23x60 24x40 24x94 25x9 27x60 29y94 30x22 30x120 33x60 33y109 34x8 35x21 35x51 36y17 36y107 37x103 37y22 38x10 38y85 39x15 40y55 40x69 42x42 43y100 44y72 46x102 46x81 49y101 50y28 51x86 53y14 54y120 54x40 56x119 58y95 59y118 60y89 61x2 62y97 64x119 64y9 65y123 66y40 67x16 68x2 68y34 68x85 69x26 69x118 72x21 73y51 76y39 81x65 83x77 84x37 84y90 85y66 86y118 87y3 87y79 90y24 93x44 93y51 94y66 94x56 96y44 96x72 99y75 99x84 101x13 103y102 106x111 107y105 108y111 108x43 112y3 112y95 114x26 115y13 115x30 116x77 117y108 118y78 119x13 119y63 122x76 123y58 123y26 124x90 125y102 Reduced: 1y6 2x10 2y4 3x7 3y5 4x1 4y3 5x4 5y7 6x3 7x11 7y2 8x6 8y1 9x2 10x5 10y11 11x9 11y10 Euler number: -8 Resultant Graph: 1y6 2x52 2y4 3x49 3y5 4x43 4y3 5x46 5y7 6x45 7x53 7y2 8x48 8y1 9x44 10x47 10y11 11x51 11y10 12x10 13x7 14x1 15x4 16x3 17x11 18x2 19x5 20x9 21y48 22x41 22y46 23x38 23y47 24x32 24y45 25x35 25y49 26x34 27x42 27y44 28x37 28y43 29x33 30x36 30y53 31x40 31y52 32y37 33x30 33y35 34x27 34y36 35x21 35y34 36x24 36y38 37x23 38x31 38y33 39x26 39y32 40x22 41x25 41y42 42x29 42y41 43y26 44x19 44y24 45x17 45y25 46y23 47x14 47y27 48x13 49x20 49y22 50x16 50y21 51x12 52x15 52y31 53x18 53y30 Euler number: -31 Ratio: 0.96875 --------------------------------------------- Iteration 6788815 Graph #1: Original: 1x13 1y7 1y28 4y17 6x11 8x23 9y22 11y25 13y15 13y13 17y18 18y4 19y20 19x7 19y13 20y24 22y21 22x17 22x3 23y8 23x9 24y22 25x3 26x3 27y14 Reduced: 1x2 1y3 2x4 2y1 3y2 4x1 4y4 Euler number: -3 Graph #2: Original: 1x82 1x49 2x87 3x39 6x13 7y39 10x47 11y104 13x72 14y92 15y24 16y80 19x104 21x106 21x64 24x82 27y58 31y78 32x105 32y68 33y72 36x106 36x121 37y2 37y23 39x7 39y33 40y49 41y79 41x3 41y59 42x81 43x23 44y91 44x93 44y58 45x85 46y101 48x15 49y105 50x113 50x77 50x27 51y88 51y102 52x51 52y37 55y5 58y118 58y46 59y98 60y77 61x66 62x33 63y60 63x113 65x57 66x35 66x117 66y118 67x98 67y74 68y45 69y77 69x34 70x119 70y100 70x7 72x71 76y65 77x38 77x22 82y118 83y32 84y26 84y104 84x62 85y112 86y123 89y99 89x3 90y87 91y86 91y118 91y97 92y27 92x30 93y25 94x109 94y8 98y93 99y71 100x84 103y58 103y89 107y38 108y37 108x123 113x90 115y9 116x74 117y9 119x61 120y57 121x14 121x37 Reduced: 1x6 2x7 2y6 3x8 4x11 4y15 5x3 5y9 6x2 6y5 7x12 8x5 9x16 9y10 10x15 10y4 12x1 12y14 13y11 14y16 15x13 15y12 16y13 Euler number: -7 Resultant Graph: 1x22 2x23 2y35 3x24 4x27 4y41 5x19 5y36 6x18 6y34 7x28 8x21 9x32 9y37 10x31 10y33 12x17 12y40 14y42 15x29 15y38 16y39 17x48 18x49 18y6 19x50 20x53 20y15 21x45 21y9 22x44 22y5 23x54 24x47 25x58 25y10 26x57 26y4 28x43 28y14 29y11 30y16 31x55 31y12 32y13 33y31 34y25 35y21 36y26 37y20 38y30 39y27 40y32 41y28 42y29 43x6 44x7 44y48 45x8 46x11 46y57 47x3 47y51 48x2 48y47 49x12 50x5 51x16 51y52 52x15 52y46 54x1 54y56 55y53 56y58 57x13 57y54 58y55 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 6793485 Graph #1: Original: 1x26 3y65 3x57 3x57 4y113 6x68 7x9 11x97 12y109 16y66 16y77 18x28 19y116 19x58 20y23 21x38 23y115 23y91 25x16 26x111 26x36 27y69 27x84 27y87 28y56 28x23 31x31 32x7 33y20 34y49 34y104 35x105 35y22 38y40 42x107 43y59 44y45 45x8 45x86 45x40 46x98 49x75 50x25 52y49 53y77 53y17 57y32 57y46 57x95 58x28 58y60 58y79 59x11 63x42 66x103 68y110 68x104 68y20 69x41 72x4 72y80 72y106 73x115 73y92 73y24 73y8 78y25 78y114 79y14 81y97 81y8 82x29 82x96 85x74 86x59 86y60 86y82 87x15 88x103 91x4 97x110 98x106 99y54 99x105 101x98 103y90 104x80 105x11 106x62 107x2 108x105 108x14 111x83 111x69 111x46 112x4 112x37 113y71 113y78 113x100 115y67 116y10 116y38 Reduced: 1x5 2x8 3x7 3y7 4x6 5x2 6x10 6y9 7x9 7y10 8x4 8y3 9x3 9y8 10y6 Euler number: -5 Graph #2: Original: 1x28 3y72 3y5 3y74 5y52 5y17 6x2 8x48 8x5 9x61 9x50 11y1 11x33 12y31 14x58 15x59 16y39 17y71 17y62 18x55 19y22 21x25 23x33 27x55 28y48 28y30 30x63 32x27 36x74 37x19 37x44 37x31 38x7 39y35 39x64 40x53 42x23 44y74 45y9 46x39 47x41 48x66 48y76 51y72 55x9 57x12 59x14 60x74 60x13 62x9 63x77 63x34 63y19 63y8 64y1 65x23 68x45 69y1 70y44 71y34 71y39 72y15 76x33 77x27 78x52 Reduced: 1x5 1y6 2x4 2y3 3x1 3y1 4x6 4y5 5x2 5y2 6x3 Euler number: -5 Resultant Graph: 1x23 1y24 2x22 2y21 3x19 3y19 4x24 4y23 5x20 5y20 6x21 7x17 8x16 9x13 10x18 11x14 12x15 13x41 13y36 14x40 14y33 15x37 15y31 16x42 16y35 17x38 17y32 18x39 19x35 19y42 20x34 20y39 21x31 21y37 22x36 22y41 23x32 23y38 24x33 25x11 25y6 26x10 26y3 27x7 27y1 28x12 28y5 29x8 29y2 30x9 31x5 31y30 32x4 32y27 33x1 33y25 34x6 34y29 35x2 35y26 36x3 37y18 38y15 39y13 40y17 41y14 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 6796991 Graph #1: Original: 1y29 5x29 5y44 8x36 12y7 12x32 14y9 15x16 15y6 15y1 15x22 17x10 18x47 19x19 21x34 22x23 22x44 23y23 23y35 23y37 23x34 24y3 25y21 27x35 28y41 29y26 30x21 32x17 32y38 36x47 37x31 37x39 38y24 38x19 39x36 45y3 45y46 46x5 47y47 47y10 48y46 48x46 49x33 Reduced: 1x4 1y1 2y2 3x2 4x3 4y5 5x5 5y7 6x1 6y4 7x6 7y6 Euler number: -5 Graph #2: Original: 4x11 5x95 6x76 6y30 8x49 9x34 9x67 10x50 11y57 12y106 13x20 13x38 14x104 16y9 17y29 19y42 19y101 20y43 21y69 22y79 23x40 23x82 24y41 25x24 26y79 27x30 28x84 28x70 29y56 30x113 34y55 37y65 37x52 38y19 39y101 42x9 46y26 49y18 49x4 49y62 51x28 52x100 53y21 53x36 54x104 55y1 55y14 56y118 57x108 60y98 60x76 61y94 63y97 64y50 64x114 66x30 66y95 67y89 68x76 70x99 70y81 73x93 73y13 73x113 75x59 77x42 80y83 83y79 84y78 84y51 85y96 86x17 86x3 87x48 88y22 88x89 90y108 90x57 90y34 92x68 93y67 93y81 93y56 94y68 96x90 98x69 100x119 101y106 102y59 103x58 103x28 104x79 106x118 106x96 106x112 107y68 109y65 109y43 110x4 112y110 113x111 114x37 115y43 117y48 118x91 121x23 Reduced: 1y3 2x5 2y5 3x4 3y2 4x2 5x3 5y6 6x7 6y4 7x6 7y1 Euler number: -5 Resultant Graph: 1y3 2x25 2y5 3x24 3y2 4x22 5x23 5y6 6x27 6y4 7x26 7y1 8y10 9y12 10y9 12y13 13y11 14y8 15x12 16x11 17x9 18x10 19x14 20x13 21y30 22x18 22y32 23x17 23y29 24x15 25x16 25y33 26x20 26y31 27x19 27y28 28y44 29x32 29y46 30x31 30y43 31x29 32x30 32y47 33x34 33y45 34x33 34y42 35y23 36x5 36y25 37x4 37y22 38x2 39x3 39y26 40x7 40y24 41x6 41y21 42y37 43x39 43y39 44x38 44y36 45x36 46x37 46y40 47x41 47y38 48x40 48y35 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 6804004 Graph #1: Original: 3y23 7x81 7x139 8y14 8x34 9y93 9x105 13y101 14x131 15y5 20y49 21y136 24x47 24x126 26x111 26y97 28x64 29x104 29x87 32x143 35x94 35y44 37x54 38x29 39y11 40y137 41y111 42y59 42x123 42x128 45y64 47y31 48x135 49y128 51x70 52x30 53x115 53y115 53y124 58y113 60x97 60y68 60x41 64x136 64x22 65x39 66y133 66x22 67y125 67y23 68x88 69x105 72x79 73x142 75x96 76y144 76y4 76y97 77y13 81x4 83y76 85y40 86y74 88x98 88y122 88y32 91y116 91x82 94x66 95y46 96y114 97y62 98x117 98y147 99x70 99y120 100x27 100x98 102y87 102y41 106y99 108x108 109y67 110y140 110x52 111x109 111y83 112y4 119x7 119y26 121y93 122y32 123y89 124y2 125x122 126x106 126x1 127y34 131x16 133x91 134y71 135x89 136x125 137x148 137x39 138x72 141y119 144x119 145y103 146y58 146x129 147y62 149y55 149x19 Reduced: 1x9 1y3 2x1 3x4 4x8 4y4 5y1 6x5 6y7 7x2 7y8 8x6 8y9 9x7 9y6 Euler number: -6 Graph #2: Original: 1x39 2y1 2x11 3y16 4y15 6x66 10x21 11y66 14x56 15x52 16x66 17x9 17y58 17y60 18x74 18x24 21y19 21x36 21y82 22x86 22y62 25x73 30x9 30x72 31y1 34x17 35y33 35x60 38y34 38x32 40x4 40x56 42x78 42x24 45x13 47x87 48x25 49x66 49x70 49y37 50x25 50x85 51x21 52y13 52y31 55x20 56y70 56x27 57y42 58y38 59y18 59x87 59y37 60x60 63x59 67y15 67x2 69x6 69x66 71y41 75x41 76x41 80x9 80x48 80x55 81x64 81x61 81y19 87y30 Reduced: 1x5 1y4 2y5 3x3 3y1 4x4 4y2 5x1 5y3 Euler number: -4 Resultant Graph: 1x42 1y12 2y13 3x40 3y10 4x41 5x38 5y11 6x5 7x3 8x4 9x1 10x18 11x16 12x17 13x14 14x37 14y17 15y18 16x35 16y14 17x36 17y15 18x33 18y16 19y4 20y1 21y2 22y3 23x22 23y31 24y32 25x20 25y28 26x21 26y29 27x19 27y30 28x9 28y36 29y37 30x7 30y33 31x8 31y34 32x6 32y35 33x27 33y41 34y42 35x25 35y38 36x26 36y39 37x23 37y40 38x32 38y26 39y27 40x30 40y23 41x31 41y24 42x28 42y25 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6804014 Graph #1: Original: 1x19 2x25 2x10 6y13 7y14 9y47 11x60 12x32 13x22 14y62 16y4 19x7 19y60 19x54 21x51 22y35 25x11 25y49 26y16 26y54 27y57 28y23 28x43 29x47 29x30 30y49 32y38 33y16 35y11 36x61 36y22 36y56 38x14 38x17 39y10 40y13 40x64 43y28 43y37 43x21 45y53 47x41 48x50 51x63 56x48 56x20 57y64 57x57 57x17 60x49 61y9 62y3 64y17 64x2 Reduced: 1x2 2x5 2y11 3x4 4x9 4y10 5x3 5y6 6x6 6y5 7y9 8y4 9x11 9y8 10y7 11x10 Euler number: -5 Graph #2: Original: 1x48 1x33 2x27 4x30 4x28 5y3 6x2 6y32 7y37 8x22 8y51 10x59 14y4 15x55 17x61 18x49 19x23 21x19 22y41 24y43 24x36 25x43 26y49 27y36 28y26 29y4 30x61 30x7 33x1 33x5 35x4 41x46 42x5 44y43 45x53 45x34 46x32 46x38 46y19 47y5 47x3 48x50 48y19 48x40 49x59 49y56 50x58 52x52 52y53 53y37 54y43 55y48 56x4 56y31 56y55 57y35 57x13 59y9 60y36 60y4 61y43 61y36 Reduced: 1x2 1y4 2x6 2y6 3x3 3y2 4y3 5x5 5y1 6x1 6y5 Euler number: -5 Resultant Graph: 1x21 1y56 2x18 2y53 3x20 3y52 4x16 4y55 5x11 6x15 7x12 8x14 9x10 10x41 10y49 11x45 11y51 12x42 12y47 13y48 14x44 14y46 15x40 15y50 16x6 16y25 17x9 17y27 18x7 18y23 19y24 20x8 20y22 21x5 21y26 22x23 22y19 23x27 23y21 24x24 24y17 25y18 26x26 26y16 27x22 27y20 28y43 29y45 30y41 31y42 32y40 33y44 34y13 35y15 36y11 37y12 38y10 39y14 40x53 40y37 41x56 41y39 42x54 42y35 43y36 44x55 44y34 45x52 45y38 46y31 47y33 48y29 49y30 50y28 51y32 52x47 53x51 54x48 55x50 56x46 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 6822709 Graph #1: Original: 1x93 2x17 2x12 2y26 4x24 7x105 11x28 11y115 12x134 14y21 14y56 17y23 18y126 20y116 20x58 21x9 23x95 24y50 25x107 25x102 26y105 31y82 33x32 34x16 36x83 36y11 36x63 37x134 37y21 38x133 39x117 40y115 43x105 43x51 44x135 45y1 46x72 47y98 48x117 49x32 50y51 50x62 52x64 54y91 54y75 56x35 58y53 58x86 58y88 58x63 60x108 62y122 65y97 66x34 66y69 67y30 68y72 69x45 69x137 69x34 71y60 73y71 76x56 77y14 78x78 81x51 82y135 83y75 83x93 85x54 87y41 89y20 89x31 90y94 93y44 93y22 94x73 94y125 95y12 95y59 97y64 97y58 98y102 98y37 103x80 104y9 106x4 108x86 110y8 112y70 114x69 116x66 118x29 120y97 120x36 121x69 125y115 126y70 126y86 126x92 127y16 128y8 128x27 128y18 129y125 130y134 131y65 131y133 132x77 133y82 133y35 137y27 138x88 Reduced: 1x5 1y5 2x4 2y8 3x1 3y1 4x6 4y7 5x7 5y4 6x8 6y6 7x3 7y2 8y3 Euler number: -7 Graph #2: Original: 1y6 2x28 2x8 3y22 3x57 6y30 8x21 9y23 9y45 11y28 12y14 12y23 14y5 14y49 15y20 19x57 20x48 23y24 24x27 25x42 26x34 26x21 28y47 30x2 31x41 32x56 33x56 34y27 35x2 35x47 35x54 37y4 40x23 40y1 41y2 42y29 45x39 45y18 45y17 47x1 47x17 50y15 53x1 53x43 55x27 57x45 58x14 Reduced: 1x2 1y4 2y2 3x4 4x1 4y3 5x5 5y1 Euler number: -3 Resultant Graph: 1x22 1y24 2y22 3x24 4x21 4y23 5x25 5y21 6x17 6y38 7y37 8x19 9x16 10x20 10y36 11x2 11y4 12y2 13x4 14x1 14y3 15x5 15y1 16x27 16y34 17y32 18x29 19x26 19y33 20x30 20y31 21x32 21y19 22y17 23x34 24x31 24y18 25x35 25y16 26x37 26y29 27y27 28x38 29x36 29y28 30x39 30y26 31x12 31y9 32y7 33x14 34x11 34y8 35x15 35y6 36y14 37y12 38y13 39y11 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 6831551 Graph #1: Original: 4x89 6y88 11x52 12x38 12y41 13x90 13y12 14y6 14x88 14x4 15y68 16x38 18y47 18y99 20x6 20y74 21y47 22y19 23x45 23x33 23x62 24x86 25y93 25y75 26y62 27x94 27x59 31x22 31x46 35x62 36y34 36x29 37x74 38x42 40y91 42y24 42x6 43x45 44y82 45y67 45x76 46y70 47x49 48y20 48y4 48y54 50x43 51y75 51x97 51y19 52y60 53x27 56y11 57y96 58y99 58y79 59y45 60y48 61y15 61x15 61y87 62y96 64y20 66x75 66y78 67y81 69y29 69y66 69y62 71x39 73x63 76y85 79y86 79x56 82y23 82y22 82x34 83y13 83x69 84y92 84x49 85y59 87y32 88x98 89x19 89y20 91x10 92y47 94x96 95x99 96x39 100y69 101x72 Reduced: 1x11 2x7 2y5 3x10 3y11 4x3 4y8 5y2 6y1 7x8 7y4 8x4 8y3 9x6 9y10 10y9 11y7 Euler number: -6 Graph #2: Original: 3x36 5x48 6x52 6x59 8x98 8y85 10x27 11y6 13x48 13x80 15x32 21y92 23y3 23y95 23y9 24x68 25x93 25y36 26y72 26x62 26x114 31x59 32y16 34y79 34y77 35y23 36y71 37x84 38y11 39y106 41y106 44y54 44x21 44y50 45x14 48y98 51x89 51x20 52x10 53y106 54x86 55x44 55x35 57y94 58x19 58y24 59y39 60x15 63x16 64x47 65x1 68x86 71y115 73y54 74y22 75x48 75y59 75x31 76y38 79x74 79y118 79y23 80x44 81x81 82x111 83x7 83x118 84y62 85x117 89x98 89y28 89y88 89x40 90y26 91x36 91x80 92x14 92y111 92x25 93y13 94x72 95x33 97y60 98x119 99y82 106y67 106x90 106y77 107x31 110x62 110x99 111y97 113y4 113x34 114x16 115x54 117y29 119x6 Reduced: 1x5 1y4 2x6 2y6 3x2 3y5 4x3 4y8 5y7 6x1 6y2 7x4 7y3 8x7 8y1 Euler number: -7 Resultant Graph: 1x82 2x78 3x79 4x77 5x80 6x83 7x49 7y34 8x50 8y36 9x46 9y35 10x47 10y38 11y37 12x45 12y32 13x48 13y33 14x51 14y31 15x73 15y80 16x74 16y82 17x70 17y81 18x71 18y84 19y83 20x69 20y78 21x72 21y79 22x75 22y77 23x19 23y56 24x20 24y58 25x16 25y57 26x17 26y60 27y59 28x15 28y54 29x18 29y55 30x21 30y53 31y10 32y12 33y11 34y14 35y13 36y8 37y9 38y7 39y3 40y4 41y6 42y5 43y1 44y2 45x57 45y26 46x58 46y28 47x54 47y27 48x55 48y30 49y29 50x53 50y24 51x56 51y25 52x59 52y23 53x27 53y18 54x28 54y20 55x24 55y19 56x25 56y22 57y21 58x23 58y16 59x26 59y17 60x29 60y15 61x42 61y72 62x43 62y74 63x40 63y73 64y76 65y75 66x39 66y70 67x41 67y71 68x44 68y69 69y64 70y66 71y65 72y68 73y67 74y62 75y63 76y61 77y48 78y50 79y49 80y52 81y51 82y46 83y47 84y45 Euler number: -41 Ratio: 0.9761904761904762 --------------------------------------------- Iteration 6858593 Graph #1: Original: 1y12 2y36 4x11 4y2 4x23 4y20 5y39 5x34 7x10 9x36 10x5 11y8 11y1 12y32 13x26 14x40 15y40 15x6 17y43 18y29 18x11 20y37 21x7 21x21 22y35 23x44 26y21 29x3 32y41 34y17 36y34 39x23 39x8 40x17 40x15 42y44 44y26 Reduced: 1x5 1y1 2x2 2y4 3y2 4x1 4y5 5x4 5y3 Euler number: -4 Graph #2: Original: 3y41 3y66 4x49 6x36 6y12 7x2 7x85 8x23 9y49 9x49 10x31 12y54 13x48 14y60 17y63 17x44 19x6 21x62 23x7 26x63 27x50 27y74 29x49 29y22 30x12 30x12 31x74 31x62 31y25 32y16 33x14 34y61 36x30 37x5 38x83 38y50 38x14 38y11 44y69 44x67 44x80 47x57 47y39 49x70 51x22 52x37 52y42 53y54 53y64 55y42 55y68 56y87 56x7 57y89 60y8 61y13 62x16 62y14 64x66 64x2 67y65 71x57 71y41 71x2 72x42 73x86 73y43 74y12 75x61 76x15 77y3 79y38 79y79 79x19 82x76 82y15 84y40 84y18 86y35 89y28 89y82 Reduced: 1x6 1y4 2x4 2y2 4x1 4y5 5x10 5y10 6x2 6y1 7x5 8x3 9x8 9y3 10x7 10y11 11y9 Euler number: -6 Resultant Graph: 1x46 1y4 2x44 2y2 4x41 4y5 5x50 5y10 6x42 6y1 7x45 8x43 9x48 9y3 10x47 10y11 11y9 12x17 12y33 13x15 13y31 15x12 15y34 16x21 16y39 17x13 17y30 18x16 19x14 20x19 20y32 21x18 21y40 22y38 23y15 24y13 25y16 26y21 27y14 28y22 29y20 30x6 30y44 31x4 31y42 33x1 33y45 34x10 34y50 35x2 35y41 36x5 37x3 38x8 38y43 39x7 39y51 40y49 41x35 41y25 42x33 42y24 44x30 44y26 45x39 45y28 46x31 46y23 47x34 48x32 49x37 50x36 50y29 51y27 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6872303 Graph #1: Original: 2x26 3y16 5y14 6y15 6y5 6x31 7y6 9x7 12y37 13y51 14y4 15y8 15x25 16y41 16y46 17y45 18y38 18y2 18x38 19x5 19y50 21y17 21x24 24x52 26y35 26x4 30y33 31x48 32x23 34x51 36y36 37y34 39x4 39x10 39y29 41y3 41x29 41x8 42x32 44x11 46x48 49x43 49x31 51x20 51x7 52x6 53y10 53y49 53x16 54y31 Reduced: 1y8 2x7 2y1 3x6 3y7 4x3 5x4 5y4 6x2 6y3 7x8 7y6 8y2 Euler number: -5 Graph #2: Original: 1y111 2x43 3y69 5x2 7y61 8y70 8x76 9y28 11x44 14y80 15x23 16y92 16x63 17y111 17y22 18y67 19x17 20y120 20y65 21y22 26x71 28y9 28x58 30y75 32x35 33x77 38y20 39y105 39y58 39x44 40x1 41x6 45y94 46y56 47y70 47y74 49x117 49y97 51y115 51x4 53y118 54y70 54x67 54y51 54y72 57x10 57x36 58x33 59x118 60y21 60x5 62y79 63x44 65x51 66y34 67x23 67x34 67y24 68x92 69y82 70y35 73y106 76x84 77x11 78x100 79x63 79y9 83y52 83x87 83y26 84x54 85x87 88x92 89x120 92x22 94y23 94y74 95y61 96x46 96x121 97y110 99x37 100x32 103x70 104y1 104y61 105x71 106y98 106x16 108x29 112x40 112x72 113x49 114y94 114y98 115y71 117x103 119y39 121x28 121x53 Reduced: 1x3 1y5 2x4 2y6 3x6 3y1 4x7 4y4 5y7 6x1 6y2 7x2 7y3 Euler number: -6 Resultant Graph: 1y51 2y52 3y47 4y50 5y53 6y48 7y49 8x42 8y5 9x43 9y6 10x45 10y1 11x46 11y4 12y7 13x40 13y2 14x41 14y3 15x35 15y44 16x36 16y45 17x38 17y40 18x39 18y43 19y46 20x33 20y41 21x34 21y42 22x17 23x18 24x20 25x21 26x15 27x16 28x25 28y26 29x26 29y22 30x27 30y25 31x22 31y23 32x23 32y24 33x10 33y19 34x11 34y20 35x13 35y15 36x14 36y18 37y21 38x8 38y16 39x9 39y17 40x49 40y37 41x50 41y38 42x52 42y33 43x53 43y36 44y39 45x47 45y34 46x48 46y35 47y12 48y13 49y8 50y11 51y14 52y9 53y10 Euler number: -29 Ratio: 0.9666666666666667 --------------------------------------------- Iteration 6878370 Graph #1: Original: 1y80 2y117 3y6 3x20 3x64 4y93 7y17 10y109 10y70 15x127 17x108 19x29 22x11 22x102 22x74 23x123 23x107 23x131 25y5 26x68 28x125 29y74 29x21 30x72 30x3 32x40 33y65 34x43 35x93 38y13 38y106 39x42 39y30 40x42 41x102 41x104 43y97 47x34 48x8 49x89 50x89 50y8 53y114 55y151 55y8 55y116 55x17 59x125 60x95 65x48 67x26 67x17 67y82 68y92 69y81 72x94 74x67 76y27 79x50 80x21 80x126 81x70 83y119 86x135 86y126 87y13 89y62 90y121 92y14 95x30 96y63 97x68 97x58 97y98 98x130 99x133 100y132 101x129 104y12 106y58 106x35 107x91 108x140 108y103 110x29 110x98 111x3 112y98 114x44 119y26 119x109 120x65 121y40 122y78 124x21 124y143 126y37 130x51 130y117 130x101 132x149 133y140 133y54 134y96 135x120 136y43 136y41 137x113 138x120 141y149 141y129 142y57 143y76 146y114 146x17 147y129 147x97 148x130 149x125 150y66 150y48 151y106 151x135 Reduced: 1x5 1y8 2x7 2y4 3x9 3y7 4x6 4y1 5x4 6x10 7x8 7y10 9x2 10x1 10y9 Euler number: -5 Graph #2: Original: 1x12 4y32 5x6 6y41 8y4 11y51 11x11 12x11 13x19 13x3 18y14 18x37 18x19 19y15 19x46 20x57 21y18 23y18 23x48 24y1 27x59 33y55 34x48 38y55 38x15 39x44 40x34 40y59 40x56 43y12 45y5 46x23 47y37 48x16 48y55 49y35 50x12 50y20 51x49 52x26 52x3 53y28 53x8 54y33 54x20 56x4 56x26 57y4 57y42 59y26 60x43 Reduced: 1x3 1y1 2x6 3x4 3y4 4x1 4y6 5x5 5y2 6x2 6y3 Euler number: -5 Resultant Graph: 1x26 1y42 2x29 3x27 3y45 4x24 4y46 5x28 5y43 6x25 6y44 7x38 7y18 8x41 9x39 9y21 10x36 10y23 11x40 11y19 12x37 12y20 13x49 13y36 14x50 14y39 15x47 15y41 16x51 16y37 17x48 17y38 18x32 18y1 19x35 20x33 20y4 21x30 21y6 22x34 22y2 23x31 23y3 24x20 25x23 26x21 27x18 28x22 29x19 30x55 31x58 32x56 33x53 34x57 35x54 36x44 36y53 37x46 38x45 38y56 39x42 39y58 40y54 41x43 41y55 47x9 48x12 49x10 50x7 51x11 52x8 53x3 53y47 54x6 55x4 55y50 56x1 56y52 57x5 57y48 58x2 58y49 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 6899435 Graph #1: Original: 1y54 1y34 2y9 2y52 2y82 2x39 3x78 4y50 4x26 4x29 5x74 5x82 7x1 8y67 9x84 10x28 17x72 18x41 18y33 18y41 21y70 22x60 22x27 23y22 24y76 25x58 26x65 27x42 27x47 27x40 31y78 31y53 32y14 33y4 33y49 33x67 36y9 37y62 38x81 40x65 43y23 43x49 44y69 45x26 46x64 46y27 49y2 55y35 56y18 57x45 57y13 59y72 59x52 59x9 59y51 60x71 62x80 62y4 63y21 64x10 65y7 65y78 66x75 69y5 69x2 70y76 72x84 72y8 72x34 73y18 77y83 77x76 78y3 79x40 81y7 82x19 82y7 83y67 84y22 84y6 Reduced: 1x9 2x8 2y3 3y2 4x6 4y6 5x7 5y7 6x1 6y8 7x3 7y9 8x5 8y5 9x2 9y1 Euler number: -7 Graph #2: Original: 1y31 2y52 3x70 3y53 4y40 5y20 6x25 7y22 10y4 10y48 12x53 14x51 16y6 16x58 17y42 17y8 19x22 19x43 19x41 20x53 20y13 22x30 24y20 26y53 28x26 29x61 31y57 31x37 32y1 33x54 36x15 36y30 38y25 39y15 40x21 41y47 41x26 41x32 42y10 42x60 43y45 48y51 50y58 50x34 53y46 53x17 53y54 54x10 55x66 55y28 56x3 59x38 59y58 60x60 60y18 61y38 62y22 63y61 64x9 64y59 66x35 68x63 69y60 69y4 70y16 70y52 Reduced: 1x4 1y2 2x2 2y1 3x1 3y3 4y4 Euler number: -3 Resultant Graph: 1x35 2x33 3x32 5x31 5y10 6x29 6y9 7x28 7y11 8y12 9y6 10y5 11y7 12y8 13x23 13y21 14x21 14y20 15x20 15y22 16x27 16y25 17x25 17y24 18x24 18y26 19y27 20x4 20y29 21x2 21y28 22x1 22y30 23y31 24x12 24y33 25x10 25y32 26x9 26y34 27y35 28x19 28y17 29x17 29y16 30x16 30y18 31y19 32x8 32y2 33x6 33y1 34x5 34y3 35y4 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 6911912 Graph #1: Original: 3y13 4x63 6x64 8x65 8x2 9x13 10x67 10x49 11x26 11x36 13x55 16y36 17y73 19y27 22x35 22x30 25x31 26x70 27y30 29x63 35x56 37x77 37x8 38y43 38x67 39y78 39x17 39x11 40x26 46y65 48x51 48y12 48y56 49y39 50x58 51x48 51x42 52y41 52y33 53x40 53y27 54x59 55y19 56y45 58y4 60y62 61y16 62x43 63y80 65y4 66x6 67x4 67y32 68y51 68x61 68y20 68y59 69x26 69x28 71y49 71x16 72y24 73x39 73y58 76y6 77y23 78y44 79x79 79y10 79x65 80x75 80y9 Reduced: 1x3 1y3 2x6 3x8 3y4 4x4 4y2 5x7 5y1 6x2 6y8 7x5 7y7 8x1 8y6 Euler number: -7 Graph #2: Original: 2y26 3y45 4y26 5x20 5x2 6y19 6x28 7x30 10x47 13x13 13y4 16y17 18y11 21x35 22x16 22y1 24y5 26y15 28y8 29y7 29x32 30y37 30y20 32y17 32x24 32y39 33x36 33y42 35x23 36y10 37x25 38y19 39x43 44y24 44y17 49x51 49x29 50y33 50x10 50y13 51x48 Reduced: 1x1 1y4 2x4 2y1 3y2 4x3 4y3 Euler number: -3 Resultant Graph: 1x9 1y12 2x12 2y9 3y10 4x11 4y11 5x21 6x24 8x23 9x29 9y16 10x32 10y13 11y14 12x31 12y15 13x13 13y8 14x16 14y5 15y6 16x15 16y7 17x25 17y4 18x28 18y1 19y2 20x27 20y3 21x5 21y32 22x8 22y29 23y30 24x7 24y31 25x17 25y28 26x20 26y25 27y26 28x19 28y27 29x1 29y24 30x4 30y21 31y22 32x3 32y23 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 6944246 Graph #1: Original: 2y78 3x78 4y72 6x96 7x67 7x75 8x62 8x97 9y65 9y3 11x26 12x45 12x34 13x47 14x41 14x73 16y4 18y42 19y97 19x47 21y92 21y53 23x55 26x102 29y38 29x83 30y60 32y12 36x69 37x36 38y48 38y95 38x101 38y41 42x27 42y98 44x78 45x8 46x6 47y31 48y104 48y52 49y27 51x49 51y6 53x40 55x93 56x69 58y11 61x98 62x37 62y44 64x53 66y43 66y28 66y3 68x67 68x22 72x63 73y32 74y11 76x80 76y102 77x26 78y70 79x18 83x88 84x45 86y41 87x53 88x19 89y53 90y69 91y68 92y1 92y4 94y66 97y64 97y7 99x8 99x41 99y65 100y96 100x98 101x74 103y25 104y98 105y26 Reduced: 1x4 1y3 2y2 3x2 3y1 4x1 4y4 Euler number: -3 Graph #2: Original: 1y81 3y72 4x50 8y15 8y24 11y66 13x60 14y75 15y38 16x12 17x52 17y40 18x4 19x3 20x96 21y92 21x3 26y58 26y5 27x85 28x20 31x80 31x20 32x54 32y80 35x83 37y10 38x106 39x82 40x5 40x94 41x103 42y36 43y47 51y19 52y99 53y18 53x59 55x64 55x63 56y59 56y92 58x109 59y77 59y12 60x95 60y83 62y96 63y87 63x46 63x52 64y37 65x98 66y36 67y70 67y67 67y2 68y30 69y92 69y59 70x85 73y64 74x58 74y40 75y59 76y35 78x29 78y109 79y60 80y83 80y12 80y93 81y84 81y86 81x72 83y8 85x76 86y64 88y111 88y28 90y29 90x95 92x99 94x6 94x76 95y21 95x91 98x10 100y80 101y65 101y19 102y50 102x74 105y4 105y7 106x90 107y84 107x72 108y53 108y31 109x88 110y31 111y39 Reduced: 1y2 2y4 3y1 4x13 5x9 5y6 6x7 6y11 7x14 7y8 8x3 8y7 9x6 9y9 10x11 10y3 11y12 12x5 12y10 13x10 13y5 14y13 Euler number: -8 Resultant Graph: 1y27 2y29 3y26 4x51 5x47 5y31 6x45 6y36 7x52 7y33 8x41 8y32 9x44 9y34 10x49 10y28 11y37 12x43 12y35 13x48 13y30 14y38 16y17 17y22 18y19 19y18 20y20 21y15 22y23 23y21 24y16 25y24 26y2 27y4 28y1 29x24 30x20 30y6 31x18 31y11 32x25 32y8 33x15 33y7 34x17 34y9 35x22 35y3 36y12 37x16 37y10 38x21 38y5 39y40 40y42 41y39 42x13 43x9 43y44 44x7 44y49 45x14 45y46 46x3 46y45 47x6 47y47 48x11 48y41 49y50 50x5 50y48 51x10 51y43 52y51 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 6964403 Graph #1: Original: 1x82 2y50 3x68 3x76 3x9 5y73 7x98 10x20 14x19 14y15 15y90 17y48 18y104 18y6 20x66 21y86 22x108 24x58 25y92 26x86 26y103 26x24 27y63 27x55 28x107 31x96 33x111 34x83 35x92 36y75 37x52 38x46 38y18 38y82 39x10 40y33 40x1 41y88 45y57 47y55 47x33 48x3 48y1 52y97 53y39 55x60 55x23 57y17 58y46 58y60 58y41 59x56 59y71 61x8 62y38 67x29 68x20 68x76 69x3 70x108 70y59 70x94 72x83 75y107 80y39 80x11 81x23 82x28 82y111 83x25 84y110 85x16 86y82 89y36 91y112 92y77 92x21 93y25 95y72 97x4 97x24 98y59 98x67 99x75 101x6 103x80 104x21 104y22 106y51 108x2 109y56 109y35 111x63 111x91 113x79 113y29 Reduced: 1x7 2x9 2y8 3x4 3y6 4x8 4y2 5x1 5y3 6x6 6y1 7y4 8x3 8y9 9x10 9y7 10y10 Euler number: -7 Graph #2: Original: 2y25 3x5 4y54 4y17 4y15 6x24 7x16 8y48 8y46 8x13 10y42 10y35 11x24 12y8 12x32 14x31 14x6 18x42 21y24 22y24 22y45 22x12 22y47 24y41 26y55 27y43 28y11 29y29 30x48 31x30 33y38 34x55 37y3 38x29 39y54 40x38 40x46 41y19 42y16 43x39 44x36 45x25 45y22 46y55 47y24 49y26 49x22 50y44 52y51 53y6 53x44 54y54 Reduced: 1x2 1y4 2x4 2y2 3y3 4x3 4y1 Euler number: -3 Resultant Graph: 1x25 2x27 4x26 5x33 5y31 6x35 6y29 7y30 8x34 8y28 9x14 9y23 10x16 10y21 11y22 12x15 12y20 13x29 13y8 14x31 14y6 15y7 16x30 16y5 17x2 17y12 18x4 18y10 19x3 19y9 20x21 20y4 21x23 21y2 22y3 23x22 23y1 24y16 25y14 26y15 27y13 28x10 28y35 29x12 29y33 30y34 31x11 31y32 32x37 32y27 33x39 33y25 34y26 35x38 35y24 36y39 37y37 38y38 39y36 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 6971125 Graph #1: Original: 2y89 4x76 4y88 5y111 5y97 6x102 7y53 7y27 8x130 8x32 9y64 12y129 14x24 18x136 19y32 19y85 20x136 21x51 23x23 24x27 24y44 29x145 29y130 30y89 30y2 31x31 31y75 32x95 33y38 33x67 34y54 35x34 36y63 37y106 43y88 45y25 45x54 45y45 47y14 48y41 49x48 49y82 50x84 51x63 52x135 53x32 54x41 62y54 63x27 65y61 67y22 69x29 70y61 73x1 73x26 73y37 74y89 76y57 76x99 79x46 83y119 84y41 86y154 88y34 88y97 91y6 92x125 92y77 93x75 93x51 93y20 95x43 95y128 96y126 96x99 99x45 99x80 100x66 101y102 103x26 105y56 105x123 105y124 106y80 107y60 107y25 112x132 112x140 115y91 116x129 118y63 120y147 121x70 121y76 122y145 124x134 126x32 127y130 128x67 128x149 129y19 130y26 130y123 131y99 133y89 133x12 134x38 134x14 135x80 136x10 136x80 137x73 139y79 140x68 141y28 142x11 142y129 142x29 143y60 144x98 146y88 146y19 147y120 148y29 148x87 151y102 151y16 151y93 151x39 152x12 Reduced: 1x13 1y2 2x2 2y5 3x9 4x10 4y13 5x3 6x1 6y8 7x11 7y9 8x5 8y7 9x6 10y6 11x12 12x8 12y12 13x7 13y10 14x4 14y14 Euler number: -9 Graph #2: Original: 1x2 1x24 2y48 2x11 8x16 11y17 12x42 12y26 12x12 13x47 13x13 14x36 14y11 15y54 16y8 16x10 17x18 19y33 20y53 22y7 22y19 24y9 24x21 24x31 26y31 27x39 29x34 29y21 31y18 32x19 33y41 33y29 34y4 35x2 37y46 38y1 38y24 41x57 41x38 45y29 46y17 47x43 48x17 51y30 51y56 57x28 Reduced: 1x1 2x2 2y4 3x3 3y2 4x4 4y1 Euler number: -3 Resultant Graph: 1x49 2x50 2y8 3x51 3y6 4x52 4y5 5x5 6x6 6y20 7x7 7y18 8x8 8y17 9x33 10x34 11x35 12x36 13x37 14x38 14y52 15x39 15y50 16x40 16y49 17x9 18x10 19x11 20x12 21x1 22x2 22y32 23x3 23y30 24x4 24y29 25x41 26x42 26y36 27x43 27y34 28x44 28y33 29x17 30x18 30y28 31x19 31y26 32x20 32y25 33x21 34x22 35x23 36x24 38y24 39y22 40y21 41x45 42x46 43x47 44x48 45x29 46x30 46y48 47x31 47y46 48x32 48y45 49x25 50x26 50y40 51x27 51y38 52x28 52y37 53x13 54x14 54y56 55x15 55y54 56x16 56y53 Euler number: -26 Ratio: 0.9629629629629629 --------------------------------------------- Iteration 6973852 Graph #1: Original: 2y68 3y24 5y62 7x35 8x40 10y48 11x48 12x30 13y6 18x62 18x48 19y39 20x2 22y58 24x36 26x68 30y49 32x26 34y69 37y5 37y32 38x55 39y51 40x58 40y41 41y79 42x27 42x31 42y43 42x15 43y78 43y55 44x25 45x37 48y20 49y44 49x13 49y61 50x58 51x36 53y1 54x61 54y65 55y7 57x65 57x70 59y41 59y39 59y43 60x37 62y44 62x50 63x31 63y31 63x46 65y68 65y8 67x15 69y49 70y21 72x58 73x71 74x60 74y64 74y14 75x24 75x17 75y26 79y68 79y49 Reduced: 1x6 2x5 2y1 3x2 3y5 4x3 4y3 5x1 5y6 6x4 6y2 Euler number: -5 Graph #2: Original: 4x6 4x3 5y57 5x26 5x86 6x67 7x85 7x66 8y53 8x59 9x7 10x34 12x40 14x64 18x67 20x28 20y37 23y71 24x66 24y20 25x29 26x22 27x56 28y22 29x15 29x52 30y86 32y53 33x85 33y29 34y36 35y43 36x3 38y16 38x39 39y83 39y63 40y89 40x78 41x69 43x83 44y85 44y61 44y23 44x24 45x27 46y27 47x10 48x54 49y53 49x19 50y4 50x30 51x1 52y85 53y62 53y41 54y16 55y75 55y59 56y40 60x86 61x29 62y38 64y1 65x58 67x64 71x62 71x36 72x49 72x75 74x68 75x70 76x43 79x27 79x2 84x48 85y18 88y87 89x39 90y74 Reduced: 1x6 2x3 2y1 3x8 4y5 5x2 5y3 6x1 7x4 7y6 8x5 8y2 9x9 9y7 Euler number: -5 Resultant Graph: 1x50 2x47 3x52 4x46 5x45 6x48 7x49 8x53 9x41 10x38 10y1 11x43 12y4 13x37 13y3 14x36 15x39 15y5 16x40 16y2 17x44 17y6 18x14 19x11 19y36 20x16 21y40 22x10 22y38 23x9 24x12 24y41 25x13 25y37 26x17 26y42 27x23 28x20 28y18 29x25 30y22 31x19 31y20 32x18 33x21 33y23 34x22 34y19 35x26 35y24 36x5 37x3 37y45 38x7 39y49 40x2 40y47 41x1 42y50 43x4 43y46 44x8 44y51 45x32 46x29 46y9 47x34 48y13 49x28 49y11 50x27 51x30 51y14 52x31 52y10 53x35 53y15 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 6974332 Graph #1: Original: 4y36 7y46 8x3 9y96 9y84 12x35 14x106 16y66 16x110 17y74 18x48 18x49 19x22 20y26 20y13 23x52 24x115 26y27 27y4 28y61 29y73 31y105 32y89 32y98 35x67 36y57 37y15 38x98 40y102 40y74 41x87 42y19 43x34 46y96 48x36 48y39 50x34 50x29 51x42 53y87 53x112 54y6 54y60 54y58 55y77 56x31 57y51 59y14 60y84 61x42 61y38 63y14 66y59 67x95 68x61 69x73 69x106 70x61 71y65 73x75 74y116 76x38 76x74 82x41 83y89 85y30 87y106 88x98 89x55 90y43 90x8 90x26 91y113 93x66 96x99 96y75 97x80 98x96 99y112 100x32 100x77 104y59 104x65 104y113 106x17 107y17 108y84 109x62 110y11 111y55 113y95 114x1 114x18 114y19 115y7 115x37 Reduced: 1x5 1y2 2x3 2y1 3x1 4x4 4y5 5x2 5y4 Euler number: -4 Graph #2: Original: 1y66 1x54 1y14 3y1 3x50 4x39 5y26 6y15 7y37 8x8 8x4 10y28 10x18 11x17 11x69 12x49 13y49 14x61 16y31 19y29 20x37 21y65 22y34 22y62 25y53 26x19 26y62 27x66 28y9 28x22 28x3 30x30 32x38 36x50 37x4 38x16 39x43 44y5 45y17 46y5 46x68 46x67 48x30 50y28 51x25 52y37 52x61 54x44 54x63 56x22 56y18 57x55 62x53 63x60 63y73 64y61 64y57 64y51 64y70 65y64 67x70 67x1 72y30 72y59 74x29 74y47 Reduced: 1x6 1y8 2x3 2y7 4x2 4y1 5x5 6x9 6y6 7x4 7y3 8x1 8y5 9x8 9y10 10y4 Euler number: -6 Resultant Graph: 1x43 1y18 2x40 2y17 4x39 4y11 5x42 6x46 6y16 7x41 7y13 8x38 8y15 9x45 9y20 10y14 11x25 11y8 12y7 14x22 14y1 15x24 16x27 16y6 17x23 17y3 18x21 18y5 19x26 19y10 20y4 21x6 22x3 23x2 24x5 25x9 26x1 27x8 28x33 28y45 29x30 29y44 31x29 31y38 32x32 33x36 33y43 34x31 34y40 35x28 35y42 36x35 36y47 37y41 38x16 38y35 39x13 39y34 41x12 41y28 42x15 43x19 43y33 44x14 44y30 45x11 45y32 46x18 46y37 47y31 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7015718 Graph #1: Original: 3y3 4y27 4x98 6x74 6x100 7y14 9x7 14y82 17x40 17x109 19y13 19y70 22y35 23x105 28x11 29x28 29x52 30y92 30y79 31x26 34x94 35y35 37y55 38x56 38y95 40x39 41x80 43x31 46y91 47x68 47x8 47y61 48x52 49x61 50x23 50y54 51x7 51x68 57y72 59x41 61x64 62x47 62x108 63x7 64y34 65y18 66y57 66x62 69x105 69x22 69x91 70y36 71y62 72x44 73y111 79x91 83y41 84y62 85x37 86x92 87x3 87y79 90y40 93x35 94y21 94y85 95y83 95y84 95x72 98x108 101x14 103x51 105x8 108x79 109y102 109x96 110x81 110x84 111x7 112y109 Reduced: 1x2 1y4 2y2 3x4 3y3 4x3 4y1 Euler number: -3 Graph #2: Original: 2y40 4x18 6y60 6y1 7y93 9x106 10x32 11y19 11x61 11x101 12y61 14x49 14x15 16x113 18y114 19y95 20x26 21x111 22y61 28x28 29x117 32y116 33x95 34y82 34y26 34y122 37x105 40y6 41y62 43x80 44y28 46x110 48y122 49y68 49x83 50y61 50x15 53y48 53x65 56x38 57x38 57y91 60y7 61x23 61y65 63y22 64x23 65x32 66y32 71x64 71y4 72y25 72y10 73y59 74x114 75x1 77x95 80x62 80x108 80y119 82y31 82y121 82x114 83x124 83y67 87y33 88x100 90x107 91y67 92x85 93y114 95y72 95y1 96x117 99y9 100y76 101y3 102x117 102x26 103y53 103x92 105x118 105y108 106x49 107x5 107x93 108y37 111y40 112y38 114y124 114y117 115y45 117y75 118x38 119y115 121x96 Reduced: 1x10 1y6 2x8 3x1 3y7 4y10 5x6 5y4 6y5 7x5 7y11 8x11 8y9 9y2 10x4 10y3 11x3 11y1 Euler number: -7 Resultant Graph: 1x16 1y34 2x10 2y35 3y37 4x14 4y32 5y33 6x13 6y38 7y30 8x12 8y31 9x11 9y29 10y14 11y15 12y16 13y12 14y13 15y17 16y11 17y10 18x37 18y23 19x36 20x29 20y24 21y27 22x34 22y21 23y22 24x33 24y28 25x38 25y26 26y19 27x32 27y20 28x31 28y18 29x27 29y5 30x25 31x18 31y6 32y8 33x23 33y3 34y4 35x22 35y9 36x28 36y7 37x21 37y2 38x20 38y1 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7038613 Graph #1: Original: 1x49 2x49 3y51 4y65 4y41 9y35 9y21 10x27 10y27 12y12 14x54 15y11 16y1 16x13 18y41 18y31 18y51 19y44 19y64 20x19 21x16 22y58 23y12 23x54 25x44 26y10 28x22 28y68 29y3 31y40 33x53 33y10 34x21 35y60 35y41 36y24 40x66 42x7 42x9 44x44 47x57 50x47 50y3 51x61 55x12 56y54 57x23 57y8 60x26 61x44 63x54 65y50 66x30 Reduced: 2y2 3x5 3y6 4x3 4y3 5x2 5y1 6x6 6y4 Euler number: -3 Graph #2: Original: 1x57 1x82 2x44 3y35 4y11 4x106 4x32 7x4 9y42 10x119 11y13 13y139 15x32 16x9 19x126 21x80 22y131 24x109 25y49 27x6 27y57 29y5 30y135 30y59 32y105 33y76 36x72 37x2 38y121 38x67 39x139 40y53 41y87 42y87 42x67 44y34 45x86 47y37 47x54 48y20 48x113 49y42 52y43 53y62 54x51 56x41 56y72 56y95 57y37 58y28 58y16 58x13 60y78 62y91 63x102 64x123 65y98 65x131 66y38 68x71 68y76 68y35 68x73 69x96 69x99 75y60 76y3 76x4 80y50 81x22 82x8 83x130 83x91 84y117 85x8 86y50 86x71 89x108 89x71 90y129 90x100 90x98 91x62 91x127 91y32 92y80 92x75 94y118 100x39 100y80 101y52 102y127 103x95 105y56 106y75 108x66 108x44 112x81 113y137 115x35 119y20 123y44 124y32 125y42 126x90 127x107 129x99 129x79 131y18 133x25 133x65 134y67 136x102 137x17 139x134 Reduced: 1x3 1y2 2x6 2y5 3x7 3y1 4x8 5x2 5y3 6x4 6y8 7x5 7y4 8x1 8y6 Euler number: -7 Resultant Graph: 1y2 2y5 3y1 5y3 6y8 7y4 8y6 9x27 9y34 10x30 10y37 11x31 11y33 12x32 13x26 13y35 14x28 14y40 15x29 15y36 16x25 16y38 17x11 17y10 18x14 18y13 19x15 19y9 20x16 21x10 21y11 22x12 22y16 23x13 23y12 24x9 24y14 25x3 26x6 27x7 28x8 29x2 30x4 31x5 32x1 33x35 33y18 34x38 34y21 35x39 35y17 36x40 37x34 37y19 38x36 38y24 39x37 39y20 40x33 40y22 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7039355 Graph #1: Original: 1y79 2x8 2y73 4y17 4y41 5y83 7x92 7y68 8y94 8x24 8x85 9y47 11x44 12x63 12x40 14x41 14y1 14y12 15y28 16x37 16y24 17y93 17y98 22x64 24x45 25x37 26y79 27y4 27x84 29y30 29x78 29x4 30y53 30y24 30x48 31x38 32x20 34y92 34y38 35y65 36y43 38x41 39x34 40y69 44y50 46x97 46x5 47y3 54x76 55x6 56x48 56x39 58y16 59x9 61x77 63y87 66x22 68x6 70y92 70y88 71x51 73x3 76x34 76y31 78x65 79y63 80x31 81x47 82x66 82x33 83x96 83y53 84x22 84y95 85x53 86y64 86y53 89x36 89y47 90x82 91x62 93x26 93x1 95x91 97y69 98y76 Reduced: 1x3 1y7 2x9 3x6 3y8 4y12 5y9 6y4 7y3 8x11 8y10 9x4 9y1 10x10 10y6 11x5 11y2 12x1 12y11 Euler number: -7 Graph #2: Original: 1x21 1y3 3x6 3y39 5x21 6y49 7y55 8x37 10y33 12x55 13x14 14y3 15x1 16x10 16x28 16y31 17x54 17y1 18y26 18y39 19x30 20y1 24x47 29y10 30x32 30y2 33x25 34x41 34y37 35x32 35y26 36y2 38y23 38x48 41x27 42y56 44y39 44x6 44x55 47y35 47y34 50x47 50y54 51x48 54y43 54x16 55y50 55x16 55x30 55y52 60x63 60y58 61x62 64x46 Reduced: 1x2 1y4 2x1 2y3 3y2 4x3 4y1 Euler number: -3 Resultant Graph: 1x9 1y26 2x8 2y25 3y24 4x10 4y23 5x32 6x31 7x33 8x20 8y30 9x19 9y29 10y28 11x21 11y27 12y46 13y45 14y44 15y43 16y34 17y33 18y32 19y15 20y14 21y13 22y12 23y11 24y10 25y9 26y8 27x40 27y38 28x39 28y37 29y36 30x41 30y35 31x13 31y4 32x12 32y3 33y2 34x14 34y1 35x36 35y22 36x35 36y21 37y20 38x37 38y19 39x17 39y7 40x16 41y6 42x18 42y5 43x2 43y42 44x1 44y41 45y40 46x3 46y39 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7052301 Graph #1: Original: 1x42 2x68 3y7 8y26 9y88 10y32 13y107 17x73 17x78 19x65 22y33 23x104 24x76 26x26 27x54 27y29 28y21 29y1 29y20 30y96 31x14 32y86 32x33 34y71 34x1 34y104 35y50 36x20 36y41 40x74 41x21 41x18 42y53 45x74 45x10 48y96 48x29 49y36 50x81 51x69 52x104 53y72 54x6 54x36 56x14 57x80 59x50 59y68 61x57 63x31 63y8 65x107 67y65 67x33 69x70 70y87 72y33 72x109 72x52 74x72 74x87 76x19 77y22 78y19 78x56 80x77 83y26 83x73 85x93 88x99 90x81 90y83 90y82 91y6 95x97 99x104 101x16 101x22 102x1 103y99 103x24 103x93 103y74 105y55 107y3 108y23 108y3 109x88 110y23 110y41 Reduced: 1x8 1y3 2x2 2y7 3x3 3y2 4x4 4y8 5x7 5y4 6x5 6y1 7x1 7y5 8x6 Euler number: -7 Graph #2: Original: 1y34 1x32 2y10 3x33 5y35 6y28 8y35 9y15 9x7 10x38 15y29 15x11 16x2 16y6 16y22 16y1 17y6 18y14 19x8 19y32 19x15 20y31 21y25 22y14 26x8 26x26 27x4 28y6 29x31 32x24 33y14 35x6 36y25 37x9 38x17 40y24 40x21 41x1 Reduced: 1x5 2x2 2y7 3x7 3y6 4y1 5x6 6x4 6y3 7x3 Euler number: -3 Resultant Graph: 1x51 2x49 2y21 3x53 3y20 4y15 5x52 6y17 7x50 8x12 9x9 9y47 10x14 10y46 11y41 12x13 13x11 13y43 14x10 15x19 16x16 16y14 17x21 17y13 18y8 19x20 20x18 20y10 21x17 22x26 23x23 23y53 24x28 24y52 25y48 26x27 27x25 27y50 28x24 29x45 30x42 30y28 31x47 31y27 32y22 33x44 33y24 34x43 35x30 35y7 36x34 36y6 37y1 38x33 39x32 39y3 40x31 41x5 42x2 42y34 43x7 43y33 44y29 45x6 46x4 46y31 47x3 48x38 49x35 50x40 51x39 52x37 53x36 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7065995 Graph #1: Original: 1y52 1y76 2y71 6y26 6x19 6y5 7y48 7y66 11y39 11y16 12x22 12y50 14y10 14y39 15x22 17y42 18y4 18y51 19x4 19y77 21x73 22x37 23y15 23y31 24x56 25y6 26y53 26x25 28x42 32x48 32y58 33y17 33x57 34y61 35y20 37x56 38x1 39x19 40y69 41y25 42y69 43x13 43y18 45y61 45y64 46x12 48x72 48y70 49x52 50x52 50x60 51x16 53x64 54y58 54x36 55x16 58y46 58y37 60x75 60x13 61x46 61y25 62x30 64y11 67y19 67y35 68y68 69y4 70x13 71y44 74x33 76x49 76y41 77y40 Reduced: 1x5 1y2 2x7 2y3 3x3 3y7 4x2 4y6 5x8 5y8 6y4 7x4 7y5 8x1 8y1 Euler number: -7 Graph #2: Original: 1y82 1y81 2x58 3y60 3y12 4x110 4y83 4y29 6x71 6x85 7x94 8x51 9y54 9y31 10y85 10y32 14y92 15x54 16x66 16y56 17y118 19y88 20x10 21x108 21y28 22y7 24x52 25x49 27y116 28y22 28y31 29y15 30y47 33y93 34y118 34x44 35x25 37y29 39x13 40y28 43x72 44y27 45y78 45y64 48y104 49x16 49x28 51x5 51x71 53x13 54y27 54y111 56x46 56y9 56x39 60x38 61x53 65y34 67x33 67y73 71x81 76y119 76x57 76y114 77y106 78x110 79x108 80y7 80y100 80y40 81x50 84x111 85x92 85y109 87y57 88y61 89x120 91x83 93y73 93y95 95y51 96x59 98x81 101y11 101x113 104y108 105x113 107y89 109x86 110x33 110y68 111x15 114y2 115x95 115y88 119x104 119y23 120y102 120x11 Reduced: 1x7 2y6 3x4 3y5 4x3 4y3 5x8 5y1 7x6 8x5 8y8 Euler number: -3 Resultant Graph: 1x18 1y7 2x17 2y5 3x20 4x19 4y8 5x24 5y11 6x23 6y9 7x26 8x25 8y12 9x10 9y25 10x9 10y23 11x12 12x11 12y26 13x6 14x5 14y21 15x8 16x7 16y22 17x28 17y29 18x27 18y27 19x30 20x29 20y30 21y15 22y16 23x14 23y19 24x13 24y17 25x16 26x15 26y20 27x2 27y3 28x1 28y1 29x4 30x3 30y4 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7073373 Graph #1: Original: 2x28 2x59 2y67 7x19 9x86 10y121 11x135 14y34 17y94 18x54 18x74 20x46 21x143 22y53 24x22 24x84 25y133 27x86 31x19 31y117 31x148 32y147 32y28 33x17 35y52 36x75 37x139 42y83 43y83 44x3 45x129 46x144 46x132 46y30 46y71 48y141 50y128 50y91 52y2 54x58 57y103 57y82 59x99 59x131 59x8 60x46 62x20 63y79 63y18 64x24 65x104 66y105 69x82 71y143 72x50 72y7 76x50 78x120 79y43 80y118 84y21 84y9 84x48 85y39 86y81 86x5 89x86 90y29 91y113 91y115 91x5 92y71 92x7 92x6 93x74 94x68 97y134 98x80 99y108 100y116 101x78 102y100 103x106 104y38 106y95 106y148 107x113 107y95 109y60 111x125 112x77 113y93 115x37 116x26 116x29 118y30 119y77 120x60 120x58 123y23 127y76 128x28 129y32 133x10 133x104 134x82 138x79 139x94 140x2 140x16 141x34 142x141 142x106 143y141 144y2 145y131 146y117 147x22 148y47 Reduced: 1x6 2x5 3x1 3y7 4x2 5x8 5y8 6x3 6y6 7x7 7y9 8x9 8y3 9x4 Euler number: -5 Graph #2: Original: 3y93 5y19 8y90 8y26 9y32 9x3 10y12 12x72 16x66 16x29 18x33 18x17 19y80 20x54 21y89 21x28 23x16 25x42 25y6 25x83 28x69 29x25 29y16 31x89 32y76 34x37 34x63 38y36 38y77 39y75 39y33 40y16 43x25 43x47 44y41 48y92 50x86 51y76 52x23 53y17 54x97 55x53 56y14 57y8 57x45 58y54 58x74 59y44 59y30 61x93 62y20 63y46 64y45 65x73 69x77 70y46 70x48 70y43 71y11 74x89 76y89 77y96 77x5 77x61 77y40 79x63 79y16 80x68 80y65 81y86 81y99 81x93 82y70 84y19 85y76 87y84 88x67 90y48 92y99 92y53 93x9 93x76 94x52 95x40 98x50 100y26 100y60 101y48 101x88 Reduced: 1x7 1y6 2x5 2y4 3x2 4y2 5x6 5y3 6x1 6y5 7x3 7y7 Euler number: -5 Resultant Graph: 1x38 2x36 3x33 4x37 5x32 6x34 7x31 8x29 9x27 10x30 11x26 12x28 13x6 13y44 14x4 14y42 15x2 16y40 17x5 17y41 18x1 18y43 19x3 19y45 20x12 21x10 22x8 23x11 24x7 25x9 26x52 26y51 27x50 27y49 28x47 29x51 29y48 30x46 30y50 31x48 31y52 32x19 32y37 33x17 33y35 34x14 35y33 36x18 36y34 37x13 37y36 38x15 38y38 39x45 39y57 40x43 41x40 42y54 43x44 43y55 44x39 44y56 45x41 45y58 46x58 46y18 47x56 47y16 48x54 49y14 50x57 50y15 51x53 51y17 52x55 52y19 53x25 54x23 55x21 56x24 57x20 58x22 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 7117405 Graph #1: Original: 1x15 1y60 2x12 3x42 4y23 5y48 6x81 6y10 6y67 7x1 8x78 8y57 11y38 13x71 14x6 15x21 17x39 20y76 20y67 21y62 22x40 24x28 25x56 26y71 27x57 28x4 29x15 30y14 30x71 32y59 32x11 32x41 33x12 33y52 34y16 34x47 38x30 40y12 44x25 44x47 46y16 47x63 47y3 49x46 51y31 53y18 57y49 59y73 60y3 60x74 63x73 64y38 66y22 68x26 68y5 69x67 71y11 71x24 72x25 72y3 72y68 75y41 75x8 76x3 77x46 79x33 79x52 81x49 Reduced: 1x1 1y6 2x7 2y1 3x5 3y2 4x2 5y4 6x6 6y7 7x3 7y5 Euler number: -5 Graph #2: Original: 1x112 3x83 6x17 6x97 6y48 7y41 8y23 9y77 9y98 10x61 11x140 11x135 13x155 13y8 15x13 16x166 16x56 16y113 19x101 20y167 20y119 21x141 22x100 23x128 23x137 26y129 28x29 28x5 29x38 29x164 32x23 35y134 40y123 41y54 43x44 43y42 48y47 49x56 50x11 50x19 56y156 57x15 58x26 58x40 58y61 59x4 59y115 60y20 60y123 62y55 62y98 63x135 63y60 63x101 64y41 64x144 65y149 67y132 69y106 70y146 72y6 73x32 74y147 76y82 78y32 78x94 82x167 85x8 86y3 87y32 88x104 89x101 90x33 91x28 92y46 93y137 95x122 96y57 99x47 99x93 101y112 102x39 102y38 103x87 105y20 108y122 109y144 110y121 110y91 110x159 111y82 113x5 114x8 114y4 114x134 115y57 117x64 119x8 119y7 123x158 123y78 125y159 126x103 128y119 128x167 131y13 131y80 134y22 135x72 136y143 138x17 139x102 139x126 140x92 140x26 142y81 143y61 144x151 145y22 147x156 147x146 148y97 149y70 150y139 150y10 152x75 153y157 154x1 156y71 160y126 163x51 163x93 167y153 167x8 168y93 169x81 169x86 169y131 Reduced: 1x4 2x1 3x6 3y2 4y7 5x3 5y6 6x8 6y8 7x5 7y3 8x7 8y5 Euler number: -5 Resultant Graph: 1x4 2x1 3x6 3y36 4y41 5x3 5y40 6x8 6y42 7x5 7y37 8x7 8y39 9x46 10x43 11x48 11y2 12x45 12y6 13x50 13y8 14x47 14y3 15x49 15y5 16x30 17x32 17y10 18y14 19x29 19y13 20x34 20y15 21x31 21y11 22x33 22y12 23x9 24x13 25x11 26x15 27x12 28x14 29y23 30y27 31y26 32y28 33y24 34y25 35x38 36x35 37x40 37y44 38y49 39x37 39y48 40x42 40y50 41x39 41y45 42x41 42y47 43x18 44x16 45x20 46y33 47x17 47y32 48x22 48y34 49x19 49y29 50x21 50y31 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 7128585 Graph #1: Original: 6y57 6y7 6x63 7x81 7y64 7y24 9x94 9x102 14y92 16y39 16x51 17y12 18x93 18y34 20y58 20x61 23y2 25x103 27y55 28x7 29x19 29y62 29x90 29y64 32y23 34y68 36y58 37y39 38y85 42x27 43x66 43x5 44x21 45x73 46x3 49y84 49y1 50y90 51x33 51x75 53y28 53y40 56y78 58x87 60x11 66y33 68x59 69x12 69y92 70x101 71y38 72x51 75x1 77y9 77x84 79y46 82x30 85x73 85x50 86x49 86x64 87x102 88x92 88y1 88y89 89y98 90x93 90y59 91x13 93y69 93x37 94y84 97y62 97y68 98x58 100y72 103x11 104x8 104y99 106y65 107y91 107y49 Reduced: 1x6 1y8 2x7 3x9 4x8 4y5 5x4 5y10 6x2 7x10 7y9 8x1 8y4 9x5 10y11 11x3 Euler number: -5 Graph #2: Original: 2x50 4y31 6y23 7y87 7x49 8x87 8y81 8y66 9x62 10x5 12y82 13y14 13x9 13y45 14x26 14x5 16y43 17x66 18x5 19y51 19x87 20y31 21y18 21x25 22x19 22y4 24y23 24x36 25x4 26x55 26x52 30y60 31x87 31x41 31y64 33x35 34x21 34x2 34x62 35x24 36x27 38x9 43x53 43y55 44y77 46x37 48x72 48y76 49y80 49x75 51x62 51x61 56y68 57x8 57x37 60x10 62y1 66y76 67x75 68y9 68x7 68y58 71y72 74x76 74y6 77x18 78x60 78y12 78x52 80x90 85x43 85y55 86x89 86x47 87x52 88x45 89x5 Reduced: 1x5 1y1 2x1 2y6 3x6 3y2 4x4 4y5 5x2 5y3 6x3 Euler number: -5 Resultant Graph: 1x34 1y42 2x30 2y47 3x35 3y43 4x33 4y46 5x31 5y44 6x32 7x40 8x36 9x41 10x39 11x37 12x38 13x51 14x48 15x52 16x49 17x50 18x46 18y24 19x42 19y29 20x47 20y25 21x45 21y28 22x43 22y26 23x44 24x22 24y53 25x18 25y58 26x23 26y54 27x21 27y57 28x19 28y55 29x20 30x11 31x7 32x12 33x10 34x8 35x9 36x57 36y48 37x53 37y52 38x58 38y49 39x56 39y51 40x54 40y50 41x55 42x5 42y18 43x1 43y23 44x6 44y19 45x4 45y22 46x2 46y20 47x3 48x28 49x24 50x29 51x25 52x26 53y59 54y63 55y60 56y62 57y61 59x16 60x13 61x17 62x14 63x15 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 7134100 Graph #1: Original: 1x51 4y89 6x78 6y47 7x54 9y11 10y21 12x23 12y4 13y4 14x62 14x48 16y23 16x59 16y91 17x25 17y78 18x33 18y82 19y80 20y73 20y13 23y69 24x70 24x8 26x25 28y48 29y1 30x36 32x83 34x84 35x57 35x60 36x25 36y70 37x30 37y86 37y25 37x15 39y70 41y51 42y30 42x35 44y71 44x47 46x80 47y58 49x72 50x20 53y21 54y78 55x77 56y48 57x60 57y38 58y52 59y73 60y27 61x37 61y88 63y1 69x19 76y71 79y5 80y78 80x85 81y38 84y2 85y59 86y71 86x16 87y31 89y63 89x35 89y75 90y8 90y68 91y24 91x66 91x10 Reduced: 2y11 3x13 3y2 4x8 4y13 5x7 5y4 6x9 6y10 7y12 8y3 9x12 9y1 10x4 10y8 11x11 11y9 12x10 12y7 13y5 Euler number: -7 Graph #2: Original: 1y99 1x40 3x2 5y96 6y16 6y4 6x86 8y78 10x67 10x86 11y69 12y70 13y6 15y105 16y52 17y11 19y70 21x86 22y40 23y111 24x104 25y95 31x115 32y35 34y57 36y55 36y106 38x76 38x88 39x61 39y65 39x115 43x75 44x18 46y44 46x102 47x39 47x113 48y81 51x46 52y108 53y64 54x118 54x11 57x112 60x108 60y1 61x61 64x117 64y43 65x11 66y63 68y101 70x4 71y117 71y123 73y112 76y89 76x113 78x36 79y52 81y39 83y64 85x63 86y77 86x39 88x56 90y114 90x12 90x52 91y42 91x50 95y87 95x49 98x115 98x76 101x15 102y47 103y47 105x45 106y50 106y17 107x61 107x24 108y21 109y38 110y23 112x92 112y72 113x23 114y72 115y64 119x28 123y76 124x96 Reduced: 1y4 2x4 2y1 3x3 3y2 4x2 4y3 Euler number: -3 Resultant Graph: 1y38 2y35 3y36 4y37 5y4 6x46 6y1 7x45 7y2 8x44 8y3 9y46 10x27 10y43 11x26 11y44 12x25 12y45 13y12 14x23 14y9 15x22 15y10 16x21 16y11 17x30 17y31 18x29 18y32 19x28 19y33 20y42 21y39 22y40 23y41 24y8 25y5 26y6 27y7 28x42 29x41 30x40 31y27 32x12 32y24 33x11 33y25 34x10 34y26 35y30 36x38 37x37 37y28 38x36 38y29 39y23 40x34 40y20 41x33 41y21 42x32 42y22 43y16 44y13 45y14 46y15 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7148110 Graph #1: Original: 1y37 2x74 2y37 4x17 5x38 5x24 9y16 10x57 10x26 12x50 12y27 15x32 16y27 16y74 16y70 17y24 20x45 21y53 21y53 22y54 22x78 26x43 28x58 32y20 34x23 34y4 34x31 34x35 34y1 35y52 37x10 38y76 39x47 39y51 43x29 44x35 48y78 48x30 49x84 49y40 49x38 50y55 51x49 52y41 52y67 54y16 54y72 58y79 58x47 59x48 62y84 66x47 66x64 67x52 67y61 68y65 70x9 71x75 72x39 73x53 73y28 75x5 76y3 76y73 77y19 77y66 78x17 78y30 79y48 80x35 81y40 82x62 84x15 84y32 Reduced: 1x6 2y4 3x1 3y6 4x9 4y8 5y7 6x14 6y2 7y10 8x2 8y3 9y11 10x7 11x13 11y12 12x5 12y14 13x3 14x8 14y5 Euler number: -7 Graph #2: Original: 2y16 5x25 6y1 6y52 7y60 9y11 11y38 14x25 14y7 14y31 16x21 17y6 17x13 17x61 17y39 18y48 20x10 23x42 23x9 23y11 24y15 25y16 25y61 26y50 27y58 28y9 30x12 31y26 32y35 33x57 33x23 34y59 35y20 35y43 35y5 37y12 39x4 41x26 43x29 44y5 45y30 46x50 47y60 50y44 51x6 52y41 53x48 55x54 56y59 56x10 57y30 57x2 57x6 58y1 59y49 61y41 61y41 61x28 62x40 Reduced: 1x4 1y5 2x2 2y3 3y1 4x1 4y2 5x5 5y4 Euler number: -4 Resultant Graph: 1x28 2x26 3x25 4x29 5y19 6y17 7y15 8y16 9y18 10x3 10y29 11x2 11y27 12y25 13x1 13y26 14x4 14y28 15x42 15y39 16x41 16y37 17y35 18x40 18y36 19x43 19y38 20y34 21y32 22y30 23y31 24y33 25x65 25y9 26x63 26y7 27y5 28x62 28y6 29x66 29y8 30y47 32y44 33y45 34y46 35x8 35y14 36x6 36y12 37y10 38x5 38y11 39x9 39y13 40y52 41y50 42y49 43y51 44x33 45x31 46x30 47x34 48x60 48y57 49x59 49y55 50y53 51x58 51y54 52x61 52y56 53x23 53y66 54x21 54y64 55y62 56x20 56y63 57x24 57y65 58x13 59x11 60x10 61x14 62x38 62y24 63x36 63y22 64y20 65x35 65y21 66x39 66y23 Euler number: -27 Ratio: 0.9642857142857143 --------------------------------------------- Iteration 7185750 Graph #1: Original: 1y45 3y55 3x71 4y140 5x158 5x50 8x22 9x161 10x8 10x40 11x163 11y54 11x112 12y131 13y79 14y166 14x92 14y69 16x84 16x158 17x132 17x96 18x51 19x113 20x11 20x40 20y147 21y33 21y100 24x102 25x73 25x132 26x96 28x139 28y2 29y134 30x21 30y98 31x74 31y8 35x17 36y22 43x62 44y96 45y98 45x16 48y158 49x108 50y12 51x89 53x147 53y129 53y45 58y28 58y22 59y97 60x70 61y67 63x130 66x77 66x97 66x86 67y123 67x152 68y155 71y13 71y151 71x84 73x142 73y43 76y161 76y52 78y42 79y62 80y30 81y108 82x15 82x108 85x47 85y73 86y77 88y117 90y75 91y96 92y163 96y42 97x29 99x13 101y39 102x169 103y124 104y49 104x34 104x169 107y18 109x163 110x40 110y154 113x149 113y37 118x153 118y155 122x103 123x38 124y120 125y112 125x161 126y119 127y157 131y6 131x72 131y91 131y137 131y130 132y48 132x87 134y93 135x106 136x36 136y22 138x139 139y121 140x92 141x145 142y13 142x99 143y49 145y160 146x113 146x112 147y70 149x60 149x68 150y50 150y49 153y101 153x3 159x41 160x111 162x119 162y111 162y56 163y13 164y71 164y160 164y27 169y157 Reduced: 1y11 2x4 2y7 3x5 3y6 4x7 4y1 5x2 5y13 6y3 7x3 7y9 9y8 10x6 10y5 11y10 12x12 12y2 13x8 13y4 Euler number: -7 Graph #2: Original: 1y14 3x6 3y13 4y14 5y4 7x17 11y10 13y6 13y4 13y19 13x13 14y3 19x3 19y14 19x17 Reduced: 1x1 1y2 2x4 2y3 3y4 4x2 4y1 Euler number: -3 Resultant Graph: 1y40 2y41 3y42 4y39 5x13 5y26 6x16 6y27 7y28 8x14 8y25 9x17 9y22 10x20 10y23 11y24 12x18 12y21 13x25 13y2 14x28 14y3 15y4 16x26 16y1 17x5 17y47 18x8 18y48 19y49 20x6 20y46 21y10 22y11 23y12 24y9 25x9 26x12 26y33 27y34 28x10 28y32 32y30 33y31 34y29 35x21 35y18 36x24 36y19 37y20 38x22 38y17 39y36 40y37 41y38 42y35 43x43 43y6 44x45 44y7 45x44 45y5 46x29 46y14 47x31 47y15 48y16 49x30 49y13 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7192743 Graph #1: Original: 1x125 3y1 4x63 6y56 6x67 8x103 9y49 11x49 12x38 13y112 13x101 13y65 15y106 20x58 25x67 26y24 27x104 27y121 28x50 30y110 31x2 33y120 34y1 35x112 36y88 38x58 39x16 39y110 40x37 41x117 42x76 43y21 44x41 44y102 44y22 44x114 46y86 47x62 47y75 48x50 49x43 49y11 50x90 50x6 51y19 51x71 51y73 53y100 54y29 56x77 56y36 57x46 58x32 61x90 62x83 63y81 64x26 65y125 65y29 66y106 67y6 68x39 71x57 72x93 73x3 75x76 77x23 80y40 81x14 83x84 83y125 83y10 84y92 85x8 87x64 87y111 88x88 89x97 90x109 91x65 92y58 93x23 93x27 93x72 94y19 94x50 96y117 98x8 98x93 99y58 100y55 100x12 103x74 104x126 104x131 105x69 106y20 107x120 108y115 109x121 110x125 112x63 112x108 112y40 114x104 115x119 116y71 119x61 120y30 122x30 124x107 124y69 127y78 128x10 129x107 130y73 131x80 131x29 Reduced: 1x1 2x8 2y1 3x6 3y3 4x5 4y6 5x2 5y4 6x3 6y2 7x4 8x7 8y7 Euler number: -6 Graph #2: Original: 3y54 3y69 7y53 8x48 8y29 9x34 9y84 11y34 12y95 12y30 15y41 16x135 17x3 18x3 18y81 20x12 22y53 23y40 23y43 24y8 24x113 27y85 27x78 28y41 32x58 37x110 37x69 38y127 39y10 41y69 42y25 43x43 45y60 47y89 50y141 51x90 52x101 52x117 53x16 53x82 55x58 56y37 58y51 58x115 58y87 58y87 59x97 59y43 62x41 64y55 68y106 71x72 71x25 72x92 73x34 75x26 76x67 77y3 78x106 78y126 79y138 80y115 81x79 83y45 84y91 87y35 89y36 89y96 90y2 92y108 93x121 94y116 95y4 95x119 96y79 97y64 97y76 100y105 101y125 102x102 102x4 103x135 104y56 107y13 107x75 108y98 109x95 109y103 110y27 111y21 112y14 113y134 114x91 114x119 117x110 118x17 118x103 119x131 128y68 130x141 130x58 132y78 133y51 133y80 133x117 138x122 139x2 139y24 139x18 140x89 140x73 141y137 141y103 142y16 143y32 Reduced: 1x1 2x7 2y4 3x5 3y1 4x2 4y6 5y7 6x6 7x4 7y2 Euler number: -4 Resultant Graph: 1x1 2x5 3x2 4x4 5x3 6x45 7x50 7y3 8x48 8y1 9x46 9y4 10y5 11x49 12x47 12y2 13x33 14x39 14y16 15x37 15y13 16x34 16y18 17y19 18x38 19x36 19y14 20x26 21x32 21y36 22x30 22y33 23x27 23y38 24x31 25x29 25y34 26x6 27x12 27y23 28x10 28y20 29x7 29y24 30y25 31x11 32x9 32y21 33x13 34x19 34y9 35x17 35y6 36x14 36y11 37y12 38x18 39x16 39y7 40x20 41x25 42x21 43x24 44x23 45x40 46x44 46y42 47x41 47y43 48y44 49x43 50x42 50y41 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7199250 Graph #1: Original: 1y51 5y1 5x5 6x65 9y66 9y7 10x58 14x32 15x15 17y73 18y40 21x22 27y53 27y73 28x24 29x18 31x12 33y19 33y54 33x11 34y63 34x29 36y10 36x26 38y48 38y14 39x26 39x22 39x32 40y72 41x66 41y50 41y37 42y46 42x55 43x46 46y63 47x62 47y40 49y47 50x34 51y56 51y46 52y26 54x55 54y24 55x67 55y23 58y60 61x17 61y70 62y45 63x31 63x45 64y47 66x67 67x39 69x23 70y62 70x52 71x11 72x71 72y32 73y35 Reduced: 1x1 1y7 2x2 2y8 3x5 4x4 4y2 6x8 6y4 7x3 7y6 8x7 8y5 Euler number: -5 Graph #2: Original: 3x93 3x11 5y45 6x91 6y81 10x44 11x76 11x6 11y47 12y48 13x46 18y17 18y14 20y56 21x42 21y3 22y83 23y52 25x49 26x11 26x48 28y76 29y60 30x38 32y45 34y43 36y39 36x75 36y108 37x27 38y70 38y26 40y100 41y16 43x89 45y113 48x21 48x53 52x86 52x56 54x81 55y95 56y61 56y78 57x81 58x13 60y117 61x17 62x36 64y68 64x30 64y105 65x5 69y55 72y56 74x18 76x80 76y113 77x103 78x83 78y3 79x89 79x31 81y58 81y58 81y111 82x78 82y73 83y48 84x17 84y92 85y38 85y57 86y6 87y79 87y24 87y73 88x45 89y28 90x52 92y112 93x7 94x32 96y9 96y25 97x96 98y71 98y43 99y34 99y74 100x78 100y72 102x84 103y84 103x65 104x10 106x34 110x12 112y114 114y37 115x28 116y82 117y41 Reduced: 1x5 1y3 2x3 2y4 3x6 3y6 4x4 4y1 5x1 6x2 6y2 Euler number: -5 Resultant Graph: 1x5 1y36 2x3 2y37 3x6 3y38 4x4 4y34 5x1 6x2 6y35 7x11 7y41 8x9 8y42 9x12 9y44 10x10 10y39 11x7 12x8 12y40 13x26 14x28 15x27 16x24 17x25 18x22 18y9 19x20 19y10 20x23 20y12 21x21 21y7 22x18 23x19 23y8 29x43 29y20 30x41 30y21 31x44 31y23 32x42 32y18 33x40 33y19 34x16 34y31 35x14 35y32 36x17 36y33 37x15 37y29 38x13 38y30 39y26 40x36 40y27 41x38 41y28 42x37 42y24 43x34 44x35 44y25 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 7211267 Graph #1: Original: 1y16 7x130 8y82 9x76 9x125 9x53 9y147 13y131 14y4 15x89 16y1 17x137 18x132 18y59 19y140 23y104 25x26 26x34 27y17 28y9 29x79 29y2 30x97 31y62 31x68 32y66 32x102 33y42 33y119 35y84 39y24 40y98 40y13 41x56 44x26 44x135 46x106 47y60 49x112 50x37 51x125 52y45 53y112 54x146 56x43 57x145 60x30 63y116 65x16 66x126 69y81 70x15 71x41 73x101 74y30 74x142 75x65 75y52 76y80 77y80 77x1 77x81 78y74 79x145 79y126 80x118 81x50 81y53 83x142 84x32 84y35 87y37 88x13 89y48 89y14 93y149 93x51 95x79 96x61 100y10 100x70 102x2 105x107 108y60 111y88 112x48 114y31 114y74 115y90 117x126 118y70 118y32 119y52 121x30 122y43 125x96 125x85 125y94 126y126 127x132 128y75 128x148 129y119 133y31 134y38 135y47 135y105 138y62 140y16 140x132 140y113 143x115 144y15 145x73 146x72 149y131 151x108 Reduced: 1y10 2x5 2y7 3y4 4x2 4y3 5x1 6x9 6y9 7x8 7y1 8y8 9x10 9y6 10y2 Euler number: -5 Graph #2: Original: 2y64 2x50 3y49 3x44 3x51 4x25 5y60 6x30 6y32 7y2 8x1 8y72 11y12 13y19 13x79 13x24 14x77 14x67 16y88 16y45 17x12 18x52 20x41 20y42 22x27 24y91 25x61 25y40 29y16 29y23 29x83 30x76 31x34 34y77 35x90 36x15 43y82 45x81 45x86 47x27 47x7 48x93 50x23 50x28 50x59 50y38 51y62 51x63 53x36 54x16 54x84 54y81 55x47 57x12 57x43 57x78 58x56 58x55 60x58 61y27 61y6 63y8 65y22 65y15 66y79 68y70 68x11 69y64 69x6 70x3 71y35 74x35 75x76 77x61 80x72 81x12 85x79 85x63 85x17 86x54 86y68 87y24 88y27 88x47 89y66 90x85 90y29 91x89 93x33 94y35 95y32 Reduced: 1x5 1y3 2x6 2y5 3y4 4x2 4y6 5x4 5y1 6x3 6y2 Euler number: -5 Resultant Graph: 1y55 2y57 3y56 4y58 5y53 6y54 7x27 7y37 8x28 8y39 9y38 10x25 10y40 11x26 11y35 12y36 13y21 14y23 15y22 16y24 17y19 18y20 19x11 19y15 20x12 20y17 21y16 22x8 22y18 23x10 23y13 24x9 24y14 25x6 26x2 27x4 28x3 29x51 29y49 30x52 30y51 31y50 32x48 32y52 33x50 33y47 34x49 34y48 35x45 35y3 36x46 36y5 37y4 38x42 38y6 39x44 39y1 40x43 40y2 41y43 42y45 43y44 44y46 45y41 46y42 47x57 47y31 48x58 48y33 49y32 50x54 50y34 51x56 51y29 52x55 52y30 53y9 54y11 55y10 56y12 57y7 58y8 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 7213842 Graph #1: Original: 1x37 1x57 2x15 2y73 2x16 3y73 3y60 5x60 6x22 6y33 7y8 8x28 10y6 12y9 13x62 13y62 14x51 15x40 20x41 22x39 25y16 27y58 28y62 29y17 29y53 29y47 32y67 34y59 35x8 35x37 36y72 38x24 40x51 40x61 41x65 41y63 42x13 44y63 44y33 46y13 48y75 48y30 48y44 49y41 49y5 51y24 52x35 56y16 56x35 58y69 59x51 62x68 62y32 63y70 63x75 64y52 65y1 65x56 66x65 67x48 68x36 69y47 70y58 70x60 72y75 73y2 74y62 Reduced: 1x3 1y5 2x5 2y7 3x8 4x1 4y3 5x4 5y1 6x7 6y8 7x2 7y2 8x6 8y6 Euler number: -7 Graph #2: Original: 2x79 3y18 3y43 3y62 3x11 4x6 5y69 5y51 6y37 9y53 12x32 14y73 15x4 18x79 18x27 20x6 23x19 24y11 28x20 28y44 30y6 31y21 32x42 32y25 33y24 34x48 34y89 35x62 37x80 37y84 37x49 37y71 38y70 39x55 43y84 45x79 45y3 46x71 46y19 47y1 47y84 48x18 48x52 51x77 52y23 52x65 52x54 55y89 55y27 59x3 59x29 61y4 62x14 63x57 64x83 64x15 65y89 66y7 69y61 74x9 75y16 75y10 77x50 78x91 78y37 78y30 82x24 82y7 85x24 86y17 87y86 88x67 89x8 90x4 Reduced: 1x2 2x3 2y5 3x1 3y3 4x5 4y6 5x6 5y2 Euler number: -3 Resultant Graph: 1x14 2x15 2y27 3x13 3y25 4x16 4y28 5x17 5y24 7x24 8x25 8y39 9x23 9y37 10x27 10y40 11x28 11y36 13x42 14x43 15x41 16x46 18x2 19x3 19y16 20x1 20y15 21x5 21y17 22x6 22y14 23x19 24x20 24y5 25x18 25y3 26x22 26y6 27y2 29x36 30x37 30y45 31x35 31y43 32x39 32y46 33x40 33y42 35x8 36x9 36y11 37x7 37y9 38x11 38y12 39x12 39y8 41x30 42x31 42y33 43x29 43y31 44x33 44y34 45x34 45y30 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7216600 Graph #1: Original: 1y53 1x36 1x48 3x88 6y43 6x13 7y1 10y16 10y47 10y80 11x91 11x46 11x40 12x62 13x39 13y47 17y36 19x66 19y78 19x75 20x50 21y84 21x35 21y93 22y66 23y86 24y40 25y13 26y60 30y50 30y42 31x14 32y69 32y79 33x57 34x66 35x73 35y87 38y72 39x33 40y71 40y5 41x57 43y10 48x78 51x91 53y48 54y18 54x74 54y65 55y92 56x53 59x33 59y51 62y93 62x66 65y61 67y2 70y85 71x38 72y28 74y31 74y21 76x21 77x34 77x12 78y67 78x70 79x89 79x9 80x89 81x65 81x43 82x25 84y59 86x23 88x57 89x80 91y67 92x91 92y82 Reduced: 1x8 1y5 2x6 2y4 3x3 3y1 4y6 5y8 6x5 6y3 7x4 8x1 8y7 Euler number: -5 Graph #2: Original: 2x74 3x13 4y64 5x75 6y45 7y57 8x44 10x35 10y39 10y10 11x78 14x17 14x44 15y61 17x41 18x74 20x71 20y75 21x62 22y25 23x50 27x73 28x73 29x38 29x15 33x41 35y4 35x34 36y37 36y10 36y21 36x75 37y1 38x16 39y77 41y23 42x15 42y51 45x72 47y68 47x2 48y26 48y81 49y36 50y63 50y53 51y38 52y44 52x53 52x37 53x80 55y26 56y27 56x25 57x61 57y18 58x70 59x50 64x16 65y22 65x7 66x41 67y40 68x54 70x52 71x39 71y8 71x72 72y26 73y27 77y18 77y30 78x81 Reduced: 1y2 2x6 2y4 3x3 3y6 4x2 4y1 5x4 5y5 6x5 6y3 Euler number: -5 Resultant Graph: 1y25 2x46 2y27 3x43 3y29 4x42 4y24 5x44 5y28 6x45 6y26 7x35 7y21 8x32 8y23 9x31 9y18 10x33 10y22 11x34 11y20 12y2 13x17 13y4 14x14 14y6 15x13 15y1 16x15 16y5 17x16 17y3 18y31 19y33 20y35 21y30 22y34 23y32 24y42 25y44 26y46 27y41 28y45 29y43 30y13 31x29 31y15 32x26 32y17 33x25 33y12 34x27 34y16 35x28 35y14 36x23 37x20 38x19 39x21 40x22 41y36 42x6 42y38 43x3 43y40 44x2 45x4 45y39 46x5 46y37 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 7229625 Graph #1: Original: 2x4 2x27 3x51 9y70 9y95 12x17 12y41 14y36 15x16 16x28 16y51 16x67 17y80 18x9 18x64 19x3 20x91 20x55 21x4 23x21 24y29 26y54 27x60 28x6 30y73 30x19 31y5 33x28 33x79 33y66 34y98 36x93 38x7 39x51 39x73 41x2 44y54 46y43 47y22 48y25 51x22 52x92 53x11 54y96 55y56 57y25 59x29 60y1 63y16 65x3 65y18 66y34 66x38 67y23 68y95 69x55 71x25 71y35 71y58 73y19 74x28 75y32 75x13 76x7 76y38 76x18 77y14 77y29 78y75 78y69 81x18 82x67 84y42 85y7 87x88 88x32 90y58 96y19 97y22 100y73 100y25 100x44 Reduced: 1x4 1y1 2x1 2y3 3x5 3y4 4x3 4y2 5x2 Euler number: -4 Graph #2: Original: 1y20 2x18 4y2 5x12 8x45 10y38 11x14 12x1 12y39 13y18 16y34 16x50 16y50 19y29 20x56 20x58 21y2 21x20 22y44 22x58 22x16 25x23 25y31 26y35 27x21 28x45 28y53 29x40 30x26 31y7 33x62 35y46 36x14 36y5 37y25 37y42 40x45 40x11 44y61 44x53 45x45 47y35 48y29 48x27 50y17 53x38 53x35 54x14 55y61 55x48 55x57 61y18 61x21 62x57 62x15 62x49 62y43 Reduced: 1x2 1y8 2x6 2y6 3x1 3y1 4x3 4y2 5x4 5y7 7x7 7y5 8x5 8y4 Euler number: -6 Resultant Graph: 1x26 1y8 2x30 2y6 3x25 3y1 4x27 4y2 5x28 5y7 7x31 7y5 8x29 8y4 9x2 9y24 10x6 10y22 11x1 11y17 12x3 12y18 13x4 13y23 15x7 15y21 16x5 16y20 17x34 17y32 18y30 19x33 19y25 20x35 20y26 21x36 21y31 23x38 23y29 24x37 24y28 25x18 25y16 26x22 26y14 27x17 27y9 28x19 28y10 29x20 29y15 31x23 31y13 32x21 32y12 33x10 34x14 35x9 36x11 37x12 38x15 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7234525 Graph #1: Original: 2x29 2x48 4y10 5y57 6x20 6y97 6y76 7x91 8y118 9x111 10y2 11x9 12y88 14y58 14y104 16x132 16y33 18x99 18x137 19x78 19x27 20y55 22y16 25x113 26x145 28y130 28x110 28y129 29y121 31x21 32x90 36x35 38y91 39x116 39y131 40x122 45x76 46y121 46y15 47y109 48y55 50y22 50x97 50y23 51x69 51y124 52x63 54y117 57y13 57x130 59y99 62x128 63y43 63x132 64y70 64y113 65y139 66x42 66x106 68y111 68y64 69y139 72x1 74x61 74x129 76x120 77y89 78y95 78y33 79x46 80y38 83y104 84x2 89x2 89y105 89x26 90x2 91x8 93y123 94x135 95y49 96y62 96x103 96y21 98x29 99y92 100y21 101x55 102y88 103x59 104y52 105x15 107x133 110x35 111y146 112x62 116x142 117x18 118x137 119y115 121x47 123x1 126x63 128y145 128y84 129x122 132x80 132x61 132y33 133y125 134y123 135y90 135y36 137y140 138y70 141y131 142x62 143x96 144x34 145y41 146x146 Reduced: 1x1 1y6 2x2 3y5 4x3 5x6 5y2 6x5 6y1 7x4 7y4 Euler number: -4 Graph #2: Original: 2x80 6y121 6x39 6x79 7y67 8y54 9x24 11y91 11y48 12x108 14x35 15x107 15x104 16x28 17x43 18x43 18x116 20x1 21x35 22y3 23x3 23y43 24x48 25x69 25x40 26x33 26y62 27x22 27y76 30y52 34y70 37y45 42x18 43y22 43x111 44x60 47x14 49y18 50y104 50y9 51x2 51x58 53x90 56y106 56y62 56x80 58y113 58x47 58y2 60x50 61x35 61x89 62x121 62y32 66x20 71y107 71x32 72y98 74x31 74x71 74x40 75y23 79x100 80y66 81x19 81x74 84x104 84x73 85y84 86x81 87x121 89y102 90x6 90x97 91x100 91y34 92y118 94y41 94x17 96x115 97x8 97y18 97y122 97y120 97x52 99y23 99y46 100y93 100x97 100y11 101y43 106x98 108y76 110y20 111y107 113y119 113x105 115x48 117x35 118y82 119y67 119x76 Reduced: 1x3 1y4 2x4 2y2 3x6 3y1 4x7 5x2 5y6 6x1 6y7 7x5 7y3 Euler number: -6 Resultant Graph: 1x3 1y38 2x4 2y36 3x6 3y35 4x7 5x2 5y40 6x1 6y41 7x5 7y37 8x10 9x11 10x13 11x14 12x9 13x8 14x12 15y31 16y29 17y28 18y33 19y34 20y30 21x17 23x19 24x20 25x16 26x15 27x18 28x37 28y11 29x38 29y9 30x40 30y8 31x41 32x36 32y13 33x35 33y14 34x39 34y10 35x30 35y4 36x31 36y2 37x33 37y1 38x34 39x29 39y6 40x28 40y7 41x32 41y3 42x23 42y24 43x24 43y22 44x26 44y21 45x22 45y26 46x21 46y27 47x25 47y23 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7239384 Graph #1: Original: 1y9 4y21 6y57 7y19 7x45 9x8 11y26 14x15 15y5 15x26 16x31 17y47 17x24 19x37 19x26 20y44 23y15 24x39 28x32 29x33 30y32 30y40 31x50 32y20 32x28 34x57 34y17 35y26 37y27 37y35 38x3 39x41 45x34 45y29 46x42 47y25 47x19 48x53 49x53 49y2 49y14 50y7 51y11 51y24 51y15 52x56 52y34 56x1 56y39 57x10 58x23 Reduced: 1x2 1y4 2x3 3x4 3y3 4x1 4y1 Euler number: -3 Graph #2: Original: 1x79 7y35 7y51 10y65 12y138 13y43 14x5 14y56 15x73 16y86 17x47 17y74 18y11 18x87 20x143 20x53 21x103 23y76 24y124 24x62 25x112 25y92 26x101 28x112 28x50 30x36 33x101 33y8 33y19 35x111 37y155 37y82 39x22 39y60 40x149 42x51 45y9 46y125 49y145 49y107 50x72 52x59 53x82 54x156 56y28 58y40 59y124 59y135 60x65 61y43 61y140 65x86 65y17 65x156 66x132 67x45 69x115 69y94 77x35 78x108 79y61 81x150 81y62 82y138 82y158 82x66 83y32 86x12 87x45 88y140 88x13 90x6 90y4 90x52 91y16 91y15 92y23 93y121 93y112 98y77 102y125 103y161 103x156 106y87 108y139 108x8 110y15 110x81 111x34 112x88 112y155 114x158 114x94 117x31 118x36 119y17 121y77 122y101 122x60 124y41 125x15 126x141 127x9 128x4 129y25 131x103 131x95 132y150 133y14 134x111 134y4 135x117 136x114 136y157 138x149 139x59 142x99 145y98 147x66 148y116 149x136 150x1 150y89 151x108 153x131 153y13 154x99 157y115 159y4 160x56 Reduced: 1y17 2x3 4x16 4y3 5x15 6x17 7x7 7y14 8x11 8y7 9x4 9y1 10x5 11x6 12x10 12y18 13x2 13y16 14x19 14y5 15x12 16x20 17x14 17y13 18y19 19x13 20x8 Euler number: -7 Resultant Graph: 1y72 3x32 3y58 4x31 5x33 6x24 6y69 7x27 7y62 8x21 8y56 9x22 10x23 11x26 11y73 12x20 12y71 13x34 13y60 14x28 15x35 16x30 16y68 17y74 18x29 19x25 20x38 21x51 22x50 23x52 24x42 25x46 26x40 27x41 28x45 29x37 30x54 31x47 32x55 33x49 34x48 35x43 36y52 37x58 39x71 39y38 40x70 41x72 42x62 42y49 43x66 43y42 44x59 44y36 45x60 46x61 47x65 47y53 48x57 48y51 49x74 49y40 50x67 51x75 52x69 52y48 53y54 54x68 55x63 56y16 57x2 59x15 59y2 60x14 61x16 62x6 62y13 63x10 63y6 64x3 64y1 65x4 66x5 67x9 67y17 68y15 69x18 69y4 70x11 71x19 72x13 72y12 73y18 74x12 75x7 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7245462 Graph #1: Original: 2y28 2y43 4y5 5x35 8y4 13y14 13y36 14x33 19y37 20y51 21x9 22x60 23y4 23x28 24x21 24x10 25y54 31x34 31y15 32x55 32x59 33y18 34y14 34y31 37y58 37x70 38y29 38x54 42y29 42y32 46y33 46x36 46y40 48y66 48x13 50y68 50x8 52x72 54y49 55y46 58y68 59x3 60x36 61y38 61y37 62y73 62y67 64y24 64x36 64y29 65y61 66y21 66x60 72y53 73x30 Reduced: 1y5 2x5 2y4 3x2 3y7 4x7 4y3 6x4 6y2 7x3 7y6 Euler number: -4 Graph #2: Original: 1x89 3y30 6y92 8y22 8x38 9y28 9y81 10x15 10y63 12x35 12x15 13y21 14x101 15x102 18y5 18y60 20x99 21x81 21y47 24x1 24x21 26y5 27y29 30y86 30x12 31x63 31x70 33x41 33x33 39y14 39y23 40x86 41y90 41y93 43x16 44y4 49y63 53y91 54x3 54y73 55y8 56x78 57x26 57y69 58y69 60x92 63y92 67y37 69y73 70y81 70y19 72y26 72x19 73x60 74y64 77x17 77y65 78x73 78x38 79y85 79x94 79y13 81x65 81y42 84y46 84y14 85y67 86y99 90y46 91x11 92x95 93y74 94y55 95y70 95y22 96y77 96x84 97x43 98x2 Reduced: 1x8 1y4 2x2 2y9 3y7 4x7 5x3 5y1 6x9 6y2 7x6 7y3 8y6 9x4 9y8 Euler number: -6 Resultant Graph: 1y21 2y26 3y24 5y19 6y20 7y23 8y25 9x7 9y39 10x2 10y44 11y42 12x6 13x3 13y36 14x8 14y37 15x5 15y38 16y41 17x4 17y43 18x43 18y12 19x37 19y17 20y15 21x42 22x38 22y9 23x44 23y10 24x41 24y11 25y14 26x39 26y16 27x25 27y4 28x19 28y8 29y6 30x24 31x20 31y1 32x26 32y2 33x23 33y3 34y5 35x21 35y7 36x16 36y30 37x10 37y35 38y33 39x15 40x11 40y27 41x17 41y28 42x14 42y29 43y32 44x12 44y34 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7247140 Graph #1: Original: 2x95 3y8 3x118 4x117 7x24 9x154 15x6 16x139 16y78 16y3 17y28 17x111 20x18 20x119 20y79 23y45 23y157 25x113 25y90 25y53 25x121 26x27 27x51 28y159 32x43 32x97 33y5 35x41 35y11 36x81 38y86 39x33 39x27 39x151 40y76 41y127 42x21 42y19 43x12 44y141 44x139 47y36 48y9 48x75 49y24 49y15 50y36 50y34 51y122 51x69 53x69 53x66 54y33 55x30 56y154 57y28 58y53 59x91 61y106 61x65 63x10 63x56 63y149 65x93 65x22 67y79 70x104 73y7 73y31 73x158 75y22 75x130 76y95 76y142 77x22 78y19 78y152 82y145 83y87 83x43 85y102 90x60 96x150 97y14 99x152 100y7 100y148 103x80 103x111 103y57 106y51 107x149 107x110 109x24 110x44 110y64 111x84 112y149 112y93 113y7 115y13 116x74 118x73 118y91 123y72 126y81 126x2 127y3 127x12 128x2 128y126 129x132 135x41 136y45 139y37 140y38 142x56 144y63 145y101 146x40 150y47 151y111 152y20 154y65 155y78 159x73 160y79 160x157 Reduced: 1x2 1y1 2x3 2y6 3x4 3y3 4y5 5x1 5y2 6x5 Euler number: -4 Graph #2: Original: 1y42 2y4 3y32 3x102 4x87 5y38 8x35 8x92 9x54 11y49 12x79 14y97 15y94 16x99 16x78 16x38 18y65 19x78 20x29 22y13 22x102 24x92 25y1 28x11 35y13 35y63 40x19 42y66 44y28 45y3 45x45 47y35 49y45 49x14 50x22 52y69 52x29 53x51 56x42 56y12 57y93 59y54 62y60 64x7 64y17 64y6 65y92 66x24 66y70 68y36 69x90 71y15 73x68 74x26 75x81 75x84 75y34 76x63 76x74 77x65 79y5 80y51 81y56 81y66 81y80 81y103 82y76 85y7 86y31 86x100 86y14 86x78 87y83 88y9 89x14 92x30 93y4 94x26 95x26 96x46 100y25 100x32 100y88 100x102 103y85 104y44 104y74 Reduced: 1x5 1y4 2x3 2y3 3y1 4x2 4y9 5y8 6x6 6y2 7x8 8x9 8y6 9x4 9y7 Euler number: -6 Resultant Graph: 1x14 1y4 2x12 2y3 3y1 4x11 4y9 5y8 6x15 6y2 7x17 8x18 8y6 9x13 9y7 10x23 10y46 11x21 12y44 13x20 13y50 14y49 15x24 15y45 16x26 17x27 17y47 18x22 18y48 19x31 19y22 20x29 20y21 21y19 22x28 22y27 23y26 24x32 24y20 25x33 26x34 26y24 27x30 27y25 28y37 29y35 30y43 31y42 32y36 33y40 34y41 35x5 35y13 36x3 36y12 37y10 38x2 38y18 39y17 40x6 40y11 41x8 42x9 42y15 43x4 43y16 44x39 45x37 46x36 47x40 48x42 49x43 50x38 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7283891 Graph #1: Original: 3x80 4x6 5y61 5y66 6y133 9y67 9x60 11y53 13y53 13y89 14x136 14y81 16x103 17x3 18x51 18y10 19y114 19x28 19x75 19y29 20y111 20x96 20x16 22x84 22x65 22y70 22x31 23y42 25y104 26x62 29y118 31y26 33y97 34x17 34y126 35x67 35y72 37x79 40x94 41y66 45x87 45x27 47x49 47x15 47x76 48y75 49y7 49x31 50y83 51x34 51x50 51y115 54x17 54y136 54x41 55y3 55y130 55x86 56x91 61y69 62y11 62y121 64y94 64x4 67x131 67y10 68y119 69y56 75y55 76y46 76x53 77y117 78y5 80y34 80x11 80y60 81x137 81y111 83x63 88y1 88x100 89x30 89x23 90y116 90y53 90x116 92x129 92y126 93x71 94x113 94x85 95y52 99x119 101x3 101x110 103x24 103x49 104y92 104x82 105x114 107x66 107x2 109x39 112y114 115y53 118x126 119y50 120y55 122x34 123y18 123y100 124x90 126x8 129y19 132x12 135y23 136y34 Reduced: 1x5 1y4 2x8 2y8 3y7 4x2 4y1 5x7 5y6 6x6 6y3 7x4 7y5 8x1 8y2 Euler number: -7 Graph #2: Original: 1x14 3x128 5y131 6x125 7y1 9y25 10x146 10y5 10x94 11y82 13x145 14x147 14x26 15x59 15x53 18y79 19x16 20y88 21y73 22x72 24y142 24y68 25y1 26y83 29x139 30x45 32x101 33y77 33y47 34x54 34x68 40y43 44x54 45x12 46x13 47x139 52y93 54y31 55y138 57x31 59y149 60y135 61y37 61x150 62y94 64y101 64x127 65y12 65y31 67y91 67y142 68y99 68x119 69x151 72x21 73x43 73x142 75y74 75y61 76x24 77x129 79x62 79x157 82x46 84x86 84y47 85y52 85y81 86y67 87x76 87x88 88y89 89y122 89x4 89y78 90y84 92y106 92y30 93y19 94y130 95x57 95y42 98x146 100y81 102x10 103y40 104y26 106y113 109x29 110x67 111y13 111x45 111y41 112y128 112x52 114y81 115y111 118x76 118y48 119x127 120x32 120x108 121x65 122y87 122x18 125x65 126x152 129x150 132y127 133x14 133x36 134y91 135y143 135y77 136x99 138x9 138y153 139x63 139y112 140x32 142x155 143x11 143x73 145x28 145y62 146x74 147x159 153y112 155x150 155x127 155x15 155y82 158x73 Reduced: 1y2 2y7 3x6 3y10 4x10 4y9 5x3 5y8 6x9 6y3 8x1 8y4 9x5 10x4 10y5 Euler number: -5 Resultant Graph: 1x30 1y26 2x33 2y25 3x27 3y24 4x32 4y20 5y21 6x29 7x28 7y22 8x51 8y54 9x54 9y53 10x48 10y52 11x53 11y48 12y49 13x50 14x49 14y50 15y47 16y46 17y45 18y42 19y43 20x11 20y7 21x14 21y6 22x8 22y5 23x13 23y1 24y2 25x10 26x9 26y3 27x44 27y40 28x47 28y39 29x41 29y38 30x46 30y34 31y35 32x43 33x42 33y36 34x37 34y19 35x40 36x34 36y18 37x39 37y15 38y16 39x36 40x35 40y17 41x23 41y33 42x26 42y32 43x20 43y31 44x25 44y27 45y28 46x22 47x21 47y29 48x4 48y14 49x7 49y13 50x1 50y12 51x6 51y8 52y9 53x3 54x2 54y10 Euler number: -34 Ratio: 0.9714285714285714 --------------------------------------------- Iteration 7312811 Graph #1: Original: 3x42 3y15 5y26 7y42 8x47 9x35 9x33 12x13 12y51 15x61 15y19 16y12 17x59 18y5 18x22 18x37 19x25 20y45 21x58 21y57 22x15 24y30 26x41 27y47 28x47 29x58 30x36 31y12 31x55 31x3 31y20 32x28 33y38 35x26 35x14 38x19 38y18 41x53 43x49 43x50 45x11 47y37 52x56 55x34 55y40 55x57 57x61 57x12 57x5 59x16 59y59 61x8 61y13 61x39 Reduced: 1x4 1y6 2x1 2y1 3x2 3y4 4x5 4y5 5x6 5y3 6y2 7x3 7y7 Euler number: -6 Graph #2: Original: 1y19 2x140 3y43 3x128 7x39 8y86 14y147 15x83 15x96 16y105 17x143 18x146 18x64 22y61 22y12 23x73 25y28 25x105 25x143 26x136 27x109 27y131 28y6 28x26 29y118 29y51 30y121 31x5 32x149 33x46 33y1 33y36 35x45 35x63 36y49 36y47 37x143 39y8 39y62 39y9 40x136 40x34 43x50 43y67 44x147 44x57 47x45 48y24 49x22 52x129 53x15 55y33 55x142 57x143 58y134 58y31 60y72 69x149 70x71 71x140 72y140 76y87 77x78 78x45 78x77 80x135 80x48 81y96 81x4 81x68 82y65 82y138 83y111 84y13 85x144 86x55 87x24 87y122 88y146 88x30 88x22 91y93 93y120 96x46 97y23 98y73 98x123 99y144 104y104 104y23 105y107 106y112 107y88 108x55 108x124 110y27 112y100 112y11 114y137 114x7 115y132 117x6 118y113 123x126 123x147 125y122 128x141 129x58 130y36 132x55 132y40 134y73 135y138 135x24 136x90 138y30 140y103 141y8 143x126 143y101 144y56 145y37 146y53 147y50 149y81 149y80 Reduced: 1x3 1y10 2x8 2y4 3x1 3y5 4y11 5x4 6x5 6y6 7x13 8x9 8y1 9x12 9y12 10y13 11y2 12y7 13x7 13y8 Euler number: -7 Resultant Graph: 1x42 1y75 2x47 2y69 3x40 3y70 4y76 5x43 6x44 6y71 7x52 8x48 8y66 9x51 9y77 10y78 11y67 12y72 13x46 13y73 14x3 14y10 15x8 15y4 16x1 16y5 17y11 18x4 19x5 19y6 20x13 21x9 21y1 22x12 22y12 23y13 24y2 25y7 26x7 26y8 27x16 27y49 28x21 28y43 29x14 29y44 30y50 31x17 32x18 32y45 33x26 34x22 34y40 35x25 35y51 36y52 37y41 38y46 39x20 39y47 40x55 40y62 41x60 41y56 42x53 42y57 43y63 44x56 45x57 45y58 46x65 47x61 47y53 48x64 48y64 49y65 50y54 51y59 52x59 52y60 53x68 53y36 54x73 54y30 55x66 55y31 56y37 57x69 58x70 58y32 59x78 60x74 60y27 61x77 61y38 62y39 63y28 64y33 65x72 65y34 66y23 67y17 68y18 69y24 71y19 73y14 74y25 75y26 76y15 77y20 78y21 79x29 79y88 80x34 80y82 81x27 81y83 82y89 83x30 84x31 84y84 85x39 86x35 86y79 87x38 87y90 88y91 89y80 90y85 91x33 91y86 Euler number: -40 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7313026 Graph #1: Original: 1y5 1x25 3y45 3x15 4y12 5y55 5x50 7x52 8x24 9x35 11x14 12x35 13y12 14y30 14y47 15y41 16x22 16y43 16y5 17x49 17x54 18y28 18y22 19y57 20x25 22y4 25y17 29y23 31x17 31y22 32x4 33y3 36x45 37x25 39y43 39x49 40x11 42y13 43x23 43y32 46x18 47x53 49x31 51y53 54y13 56x46 56x8 Reduced: 1x3 1y4 2y3 3x4 3y1 4x1 4y2 Euler number: -3 Graph #2: Original: 2y72 2x87 3y112 3x49 4y53 6y50 6x78 10x108 14x12 15y71 17x1 18y25 18x51 20y5 21y56 25x4 26y44 30y46 32x109 35x59 39y55 40y56 44y65 48y55 48y102 48x97 49x25 51x53 51y37 52y27 52x48 52y60 55y73 55y63 56x94 57y101 58y96 59y60 60x22 61x11 61x68 62x107 64y40 65x117 65y77 66y16 67y3 67x80 67x54 68x83 68y44 69x43 70x72 71y6 72x54 73y93 73y95 74x48 74y16 75y51 76y16 76y3 77x71 78x1 79x31 79x7 80y9 81x113 82x39 83y57 83x110 84y65 85x86 86x12 88x45 89y5 92x45 93x1 93y65 93y24 95y57 96y23 97x23 98x82 100x52 100x96 101x12 102y20 102x115 102x82 103y23 103y91 104y66 106y29 107y105 107y99 108x51 108x63 109x27 110x100 112x54 114y48 117x21 Reduced: 1x10 1y4 2x9 2y8 3x5 4y10 5x6 5y5 6x1 6y1 7x3 7y11 8x11 8y6 9x7 10x8 11x2 11y7 Euler number: -7 Resultant Graph: 1x28 2x27 2y36 3x23 4y38 5x24 5y33 6x19 6y30 7x21 7y39 8x29 8y34 9x25 10x26 11x20 11y35 12y22 13y28 14y23 15y19 16y29 17y24 18y25 19x38 19y4 20x37 20y8 21x33 22y10 23x34 23y5 24x30 24y1 25x32 25y11 26x39 26y6 27x35 28x36 29x31 29y7 30x10 30y13 31x9 31y17 32x5 33x6 33y14 34x1 34y12 35x3 35y18 36x11 36y15 37x7 38x8 39x2 39y16 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7371250 Graph #1: Original: 2y75 2x60 3x12 5y6 5x17 6y21 6x9 12y11 13y6 13y23 14y65 15x31 16x1 19x47 20x71 21y42 21y73 22x76 22x25 22x38 22x2 27y64 30y22 32x81 32y11 35x24 36y40 37y9 38y14 38x43 38y13 38x17 39x75 41y36 44x6 44y45 45y19 46y4 46x19 47y79 48x71 48x2 52x61 52x8 53y69 54y35 55x19 55y63 56y45 57y6 57y57 58x56 58x16 58x16 58y56 59x61 59x46 62y67 62x60 62y64 65y8 69x66 70x79 71y15 74x22 74y54 75y26 76y40 78x4 79x78 80y80 81x28 Reduced: 1x4 2y1 3x1 3y3 4y6 5x3 5y2 6x5 6y5 Euler number: -3 Graph #2: Original: 2x120 4x54 6y129 8x22 8x38 8x36 9x61 10x138 11y1 14y77 15x15 17y119 17x136 22y139 22y113 28x23 28x145 29x132 29x142 30y90 31x116 32x149 32y12 33x80 34x41 35y144 37y65 38x52 39y69 39x65 40y26 41y79 41y81 42x112 42y81 42y124 43y45 43x136 43y35 44y50 46y2 47x57 52y100 53x142 53x32 53x109 55x11 56y45 56y18 58x111 59x129 60x26 62x140 63y141 64y134 64x104 64x41 65x33 65y51 68x47 68y129 73x17 76y19 77x55 78x25 81y93 83y144 83y16 84y56 86y131 87y22 88y132 88x145 89x64 90x127 90y151 90x127 91x65 92x24 92x135 96y57 99x103 99y146 101y136 103y79 104y9 106x124 106x98 109y122 110x39 110x66 113y88 113x55 113x17 114x145 118y21 119x148 119x121 120x35 121y103 122y53 123x26 125x18 125y64 126x93 126x36 128x26 130x97 130y75 131x143 131y102 134x2 134y8 138x143 139y138 143y98 143y49 145x19 146x98 148x93 151y94 Reduced: 1x7 1y3 2y4 3x4 3y2 4x6 4y5 5x1 5y7 6x8 6y6 7x3 7y8 8x2 8y1 Euler number: -7 Resultant Graph: 1x30 3x28 4x29 5x25 6x31 7x27 8x26 9y3 10y4 11y2 12y5 13y7 14y6 15y8 16y1 17x7 17y19 18y20 19x4 19y18 20x6 20y21 21x1 21y23 22x8 22y22 23x3 23y24 24x2 24y17 25y42 26y43 27y41 28y44 29y45 30y47 31y40 32x23 32y11 33y12 34x20 34y10 35x22 35y13 36x17 36y15 37x24 37y14 38x19 38y16 39x18 39y9 40x38 40y34 41y35 42x35 42y33 43x37 43y36 44x32 44y38 45x39 45y37 46x34 46y39 47x33 47y32 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7401627 Graph #1: Original: 1x44 2y33 4x67 4x107 5x6 6y1 9x97 10x48 10x38 15y112 15y112 16x10 16y77 16y112 19y113 23y64 25x78 26y12 27y29 28x100 30x26 32y113 33y95 36x101 36y36 37y110 37y36 41y5 44x36 45x24 45y83 48y62 48x46 51x127 51x62 53y76 55x85 55y87 58y20 59y16 60x53 60y109 62x107 63x97 63x18 65y46 68x100 69y12 70x118 72x80 72x21 72y13 75x12 75y35 77y13 78y6 80y57 81y63 83x51 84y111 88y123 89y39 90x44 91x5 94y59 94x36 94x81 96x59 96x111 97y91 99x27 100x66 100y95 101x118 102y73 102x83 103y79 105y32 105y62 106y32 106x53 107x128 109x115 111x13 113y12 113x32 114y27 117y118 118x39 118y49 123y107 123x64 124x86 124x57 125y76 127x110 127y65 128x59 129x82 Reduced: 1x7 1y3 2x5 2y4 3x1 3y2 4x2 4y1 5x6 5y5 6x4 6y6 7x3 Euler number: -6 Graph #2: Original: 1y45 2y10 4x28 4y54 5x31 7x48 10y57 10x60 10y63 13y3 13y45 14x35 14x17 15x75 16x67 17x24 18y46 18x50 18y27 18x46 20x3 21y51 22y6 23y47 28y14 29x15 30y68 32y72 32y72 32x61 35y39 36x21 36x29 37y65 38y12 38x44 39y27 40y68 40y28 41x24 41x49 42x22 43x23 43y44 44y11 44y12 44x74 45x16 45x37 45y38 47x50 49x5 49y25 51x49 54x29 57y58 57x41 57y19 58y52 60x40 60y6 62y48 63x34 64y3 64x31 68x43 69y75 70y64 71x59 72y63 Reduced: 1x1 2x4 3x5 3y1 4y5 5x6 5y7 6x7 6y2 7x3 7y3 Euler number: -4 Resultant Graph: 1x41 2x43 2y14 3y17 4x44 4y19 5x45 5y15 6x42 6y16 7x27 8x30 9x31 9y20 10y24 11x32 11y26 12x33 12y21 13x29 13y22 14x1 15x3 16x4 16y7 17x5 17y13 18x6 18y8 19x2 19y9 20x7 21x10 22x11 22y1 23y4 24x12 24y6 25x13 26x9 26y2 27x34 28x37 29x38 29y27 30y31 31x39 31y33 32x40 32y28 33x36 33y29 34x20 35x23 36x24 36y34 37y38 38x25 38y40 39x26 39y35 40x22 40y36 41x14 42x17 43x18 44x19 45x16 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7422871 Graph #1: Original: 3y76 5x84 6x43 6y52 6x55 6x58 9x66 9y46 10y88 12y51 15y82 17x56 18x74 19y53 19x52 22y1 22y88 22y16 29y20 29y18 29y15 30y34 31y47 31y73 32y16 37x21 38y62 39y75 42y24 43x57 44x51 45y4 46y66 49x62 51x40 53y5 53x43 54y80 55y72 55x66 56y6 58y2 60x80 62x52 63y7 63y49 63x51 64y14 66x41 67y82 68y2 68y48 68y70 70x30 72y12 72y62 73y47 74x1 75x30 76x60 76x33 76y32 77y56 78x37 78y38 79x40 79y20 80x51 81x70 81x77 82x63 85y10 88y68 88y68 Reduced: 1x2 1y7 2x7 2y4 3x4 3y2 4x5 4y5 5x1 5y1 6y3 7x3 7y6 Euler number: -6 Graph #2: Original: 2y25 7x47 9x2 11x71 11y34 12x9 12x37 13y77 13x68 16y54 19y30 19x24 20y83 20x33 21y30 25y68 28x40 28x9 30y16 30y24 32x29 33x76 33y53 36y58 37y12 37x51 38x63 39x12 40x74 41x22 42x60 44y20 44y90 49y10 50y35 50x70 50y63 55x90 55x64 56y57 59y83 61y2 62y5 63y75 63x89 63x31 66y38 66y9 67x66 67y35 67x85 69y26 70y62 71x81 74y78 75y1 75x39 78y53 78y85 80y46 81y26 83x70 83y10 83x88 83x92 84x6 85y57 87y60 88y43 90x29 91y73 91y13 93x61 Reduced: 1x5 2y3 3x8 3y7 4x3 4y6 5x2 5y1 6x7 6y2 7y5 8x1 Euler number: -4 Resultant Graph: 1x13 2y48 3x16 3y52 4x11 4y51 5x10 5y46 6x15 6y47 7y50 8x9 9x50 10y27 11x53 11y31 12x48 12y30 13x47 13y25 14x52 14y26 15y29 16x46 17x29 18y11 19x32 19y15 20x27 20y14 21x26 21y9 22x31 22y10 23y13 24x25 25x37 26y35 27x40 27y39 28x35 28y38 29x34 29y33 30x39 30y34 31y37 32x33 33x5 34y3 35x8 35y7 36x3 36y6 37x2 37y1 38x7 38y2 39y5 40x1 41y19 42y23 43y17 44y18 45y21 46x21 47y42 48x24 48y45 49x19 49y44 50x18 51x23 51y41 52y43 53x17 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7436350 Graph #1: Original: 1x17 3y48 4x16 4y39 7y12 7x34 10y52 11y38 11x46 13x5 14y23 17y2 17x43 18x44 19y38 19y68 20y57 21y39 25x7 26y65 26x25 27x46 29x35 30x34 31x6 32x43 34y61 35y22 36x61 36x43 37x67 39x24 39y62 40y30 40y26 41x25 41y67 42x16 42y27 43x65 45x24 47x28 49x51 50x5 50x13 51y42 51y54 59y58 59y7 59x28 60x16 62y34 64y57 64y51 65y27 68x17 69x47 69x70 69x59 71x37 Reduced: 1x2 1y3 2x1 2y5 3x5 4y6 5y4 6x7 6y1 7x3 Euler number: -3 Graph #2: Original: 3y93 3y142 5x43 6y103 7y13 9y7 10y8 12x25 12x63 13x164 14x6 15y126 15y108 19x20 20x38 22y49 24y157 25x38 28x18 30y107 31x91 32x135 33y53 33x45 33x32 35x88 35x144 38x57 38y125 39y82 40x76 40x13 40y29 40x137 42y128 44y150 45x128 45y41 46x127 46x34 48x135 49y133 50x19 50x161 52y120 53y122 57y36 58y124 61x58 61x22 62y69 63y77 64x18 64y61 64x94 68x135 71x131 71x58 71y142 72x35 72y54 72x82 76y163 77y136 80y114 81y45 83y157 84y57 88y114 91x87 91x102 92y5 92x91 94y133 101y156 101y62 103x165 103y151 104x1 104x149 104y119 105x41 105x56 105y31 106y142 106y47 110x122 115x156 117x33 119x24 120x97 120y80 124y146 125x121 127x17 127x28 129x144 129y119 130y76 133x3 136x129 137x135 139y30 139y76 140x17 141x122 142y106 144x30 145y76 146x87 149y20 150y106 151x158 151x46 152y46 153x90 153x56 154x160 155y27 156x91 158y117 158x54 159x129 160x60 160y5 161y73 163y17 164y100 165x69 165y3 166y43 166y161 Reduced: 1x8 1y3 2x9 2y4 3x6 3y7 4x5 4y2 5x2 5y5 6x7 6y9 7x3 7y1 8x4 9x1 9y6 Euler number: -8 Resultant Graph: 1x17 1y21 2x18 2y22 3x15 3y25 4x14 4y20 5x11 5y23 6x16 6y27 7x12 7y19 8x13 9x10 9y24 10x8 10y38 11x9 11y39 12x6 12y42 13x5 13y37 14x2 14y40 15x7 15y43 16x3 16y36 17x4 18x1 18y41 20x43 21x41 22x40 23x37 24x42 25x38 26x39 27x36 28y46 29y47 30y50 31y45 32y48 33y51 34y44 35y49 36y30 37y31 38y34 39y29 40y32 41y35 42y28 43y33 44x58 44y3 45x59 45y4 46x56 46y7 47x55 47y2 48x53 48y5 49x57 49y9 50x54 50y1 51x52 51y6 52x26 53x27 54x24 55x20 56x25 57x21 58x22 59x19 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7444712 Graph #1: Original: 3y87 5y128 6y146 7y66 10y71 10y145 11x80 12y85 16x56 16y67 18y60 27x40 30x109 31x64 32x47 33x121 34y77 34x139 35y49 35x30 36y67 36y54 37y9 37x135 38y121 38x35 39x27 40y42 42y12 46x43 46x66 48y133 48y125 49y140 50x39 51x133 52y95 53y62 54y66 54x134 55y93 56y39 56x106 57y3 57y102 58y63 59y125 60x140 60x64 62x135 68y64 69x80 73y39 74y65 75y23 76x86 76y69 79x32 79y1 81y17 84y141 86x6 87x133 88x3 88x143 88x108 88x75 90y60 90x102 91y20 91y20 91x118 92x118 92y118 94x16 94y119 95x17 97x38 98y121 98x85 99x40 99x59 100x70 102y89 103x136 104x106 104x107 104y133 105x111 105y1 106y29 108x47 108x46 108x127 113y115 114x5 115x141 121x142 123y79 126y38 126y88 128x34 131x126 132x23 134x114 136x94 137y23 138x130 138x130 138y18 142y55 142y98 142x56 142y129 144x8 144y63 145x134 146x33 147x67 148x104 Reduced: 1x6 1y2 2y5 3x1 3y6 4x5 4y1 5x3 5y3 6x4 6y4 Euler number: -5 Graph #2: Original: 1y50 5x8 5x52 7y6 8x2 8y97 9y99 11x22 11x15 12y89 12x32 13y35 14x67 14x18 15y61 16y35 18y76 22y60 25y81 27y6 28y51 28y18 28y43 29x22 29x13 30y104 31y83 31x20 33x82 33y2 36x108 41x28 42x59 42y78 44y11 44y29 45y50 47y19 48x35 49x54 49x4 50x51 53y65 53x49 55y77 56y12 59x101 61x68 65y18 68x73 69x55 70x81 71x13 71y87 73x70 75x10 75y99 76y107 76x82 78y80 80y53 83y81 83y9 84y60 87y44 87x78 88y72 89x35 91y10 91y105 92x74 92x56 92x69 94x57 94y73 96x8 96y74 96x35 100x20 100y28 101x59 106x51 106y19 107x54 Reduced: 1x18 2y16 3y12 4y11 5y18 6x1 7x6 7y9 8x17 9y3 10y2 11x14 11y15 12y6 13y14 14y7 15x13 15y4 16x7 16y10 17x8 17y13 18x3 Euler number: -5 Resultant Graph: 1x96 2y28 3y24 4y23 5x80 6x84 6y21 7x95 8y18 9y17 10x92 10y27 11y26 12y20 13x91 13y19 14x85 14y22 15x86 15y25 16x82 17y77 18y73 19y72 20y70 21y65 22y64 23y76 24y67 25y75 26y68 27y66 28y71 29x16 30y94 31y90 32y89 33x1 34x5 34y87 35x15 36y82 37y81 38x12 38y93 39y84 40y92 41y85 42x11 42y83 43x6 43y88 44x7 44y91 45x3 46x79 47y14 49y10 50x63 51x67 51y8 52x78 53y3 54y2 55x75 55y13 56y5 57y12 58y6 59x74 59y4 60x68 60y9 61x69 61y11 62x65 63x45 64y43 65y39 66y38 67x29 68x33 68y36 69x44 70y31 71y30 72x41 72y42 73y33 74y41 75y34 76x40 76y32 77x34 77y37 78x35 78y40 79x31 80x62 81y60 82y56 83y55 84x46 85x50 85y53 86x61 87y48 88y47 89x58 89y59 90y50 91y58 92y51 93x57 93y49 94x51 94y54 95x52 95y57 96x48 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 7506714 Graph #1: Original: 1x13 1y34 1x12 2x28 3x26 5x21 8y12 8x3 9x36 11x1 11x39 12x24 13y40 14y25 14y1 15y6 18x39 22y31 23x2 23y6 24x34 25x30 30y19 31y22 31y14 34x1 35x17 35y15 36y7 37x24 37y15 38y19 39x19 42y1 42x21 Reduced: 1x2 2x4 2y4 3x1 3y3 4x3 4y2 Euler number: -3 Graph #2: Original: 4x139 11x110 11y85 12x36 15x139 17y100 18x81 20y95 20y24 21x20 22y96 23x128 24x49 24y140 25y10 30x52 33x111 34y141 35x156 35x144 37x84 37x118 38y10 39x29 40x108 40x26 40y63 44y70 46x121 49x22 50y39 56x89 57x16 58y35 60x152 61x80 62y111 63x38 65y15 65y54 67y7 67y100 68x138 68x57 68x160 70x99 71x156 72x157 73y13 74x48 76y113 76x4 77x124 77y31 77y86 79x114 81y74 83x117 83y53 83y39 85y64 86y12 86x7 87y93 88x122 89x66 92y107 93x9 95x58 95x113 96x13 96x100 97y101 98x2 100x28 100y109 101y133 101y29 106x145 108x73 110x49 110y76 111y36 112x102 113x120 115y123 115x16 116x42 117y158 118x89 119x129 120x101 121x98 121y36 122x151 124x58 127x145 128x57 128x126 129x25 129x36 130y17 131x23 131y125 131x50 133x97 136y146 137x134 139y53 140x62 140x148 140y27 141y93 145x20 146x74 148y122 149y85 153x82 154y149 155y76 155x37 155x75 157y130 158y77 158x63 159y60 Reduced: 1y5 2x7 3x5 3y8 4x2 4y9 5x1 5y6 6x8 6y7 7x4 7y3 8x9 9x10 9y2 10x3 10y4 Euler number: -7 Resultant Graph: 1x15 2x13 3x10 4x9 5x12 6x17 7x18 8x11 9y33 10x35 11x33 11y36 12x30 12y37 13x29 13y34 14x36 14y35 15x32 15y31 16x37 17x38 17y30 18x31 18y32 19y23 20x5 21x4 21y26 22x1 22y27 23y24 24x6 24y25 25x3 25y21 26x7 27x8 27y20 28x2 28y22 29y13 30x25 31x23 31y16 32x20 32y17 33x19 33y14 34x26 34y15 35x22 35y11 36x27 37x28 37y10 38x21 38y12 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7526127 Graph #1: Original: 2x109 6x14 6y114 7y62 7x26 8x23 9y54 10y31 10y105 12y79 14x102 14x71 15x18 18x83 18y92 18y15 18x20 18x21 19y24 19y99 20x64 23y19 24y102 24y80 24x93 24x112 28y49 30y58 31y22 34x69 35y46 37y109 39x85 39x54 40y34 41y101 43y107 43x72 44x44 45y23 45x111 45x110 46x90 46y9 49x105 49x107 50y69 53x4 54y96 54x81 54y81 55y23 60y24 60x94 61y47 67x111 68y61 69x37 71y109 71y3 74x111 76y89 79y9 80x17 81x40 82y49 83x101 83y30 84x89 85y62 86x103 87y10 88y1 89x47 91y98 95x4 96x66 97y112 98x101 98y45 100y55 101y66 101y13 103x7 104x20 106y71 107x67 108y23 108y114 109x44 111x63 111x48 112x41 113x11 114x49 Reduced: 1x1 2x5 2y15 3x4 3y10 4x11 4y2 5x7 6y11 7y1 8x13 9y12 10x3 10y3 11y4 12x14 12y7 13x2 14x6 15x8 15y9 Euler number: -6 Graph #2: Original: 1y7 2x43 2x19 3y41 4x25 4y7 8y12 9x30 9y2 12y14 13y3 15y42 15x1 15y33 17x26 18x42 19y21 21y40 23y21 24x1 24y18 25y43 26x25 28y6 29y25 31x15 32y34 32x34 33x39 34y15 35y18 37y6 38y27 39y40 41y7 42y3 44x28 44y19 44x43 45x1 Reduced: 1y2 2x4 2y4 3x3 3y1 4x5 4y5 5x2 5y3 Euler number: -4 Resultant Graph: 1x3 2x2 3x4 4x1 5y66 6x22 6y68 7x21 7y65 8x23 8y69 9x20 9y67 10y43 11x18 11y45 12x17 12y42 13x19 13y46 14x16 14y44 15y6 16x50 16y8 17x49 17y5 18x51 18y9 19x48 19y7 20x31 21x30 22x32 23x29 24y50 25y47 26y51 27y49 28y1 29y3 31y4 32y2 33x59 34x58 35x60 36x57 37y53 38y55 39y52 40y56 41y54 42y11 43x13 43y13 44x12 44y10 45x14 45y14 46x11 46y12 47y16 48y18 49y15 50y19 51y17 52y29 53x63 53y31 54x62 54y28 55x64 55y32 56x61 56y30 57x8 58x7 59x9 60x6 61x26 62x25 63x27 64x24 65y38 66x35 66y40 67x34 67y37 68x36 68y41 69x33 69y39 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7527835 Graph #1: Original: 1y73 2x89 2y59 4y49 5x17 5y10 5x59 6y60 6y65 8y85 9x10 9y11 9y72 11x19 11y23 13x52 13y32 13y75 14y77 15y25 17y72 18x50 19x46 19y12 20x43 27y24 30x57 30x95 31x57 32x83 33y40 37x78 37y41 37x48 37y72 40x67 41y74 43y81 44x50 46y90 46y79 46x5 49y53 52x57 53x89 54x39 54x56 55x36 57x86 58y42 59y67 60x73 62x58 63y76 63y28 64y62 67x75 68y15 68x13 70y82 71y80 74y94 79x37 79y63 80x32 82y7 82x83 84x93 85x29 85x23 86y74 87y55 89x33 92x2 92y8 92y92 93x92 94x84 95x51 95y73 Reduced: 1x10 1y3 2y14 3x8 3y5 4x14 5x11 5y1 6x4 6y8 7x1 7y10 8x9 9x7 9y7 10x13 11x2 12x5 12y12 13x12 14x3 Euler number: -7 Graph #2: Original: 1y21 1y2 3y17 5y6 6x29 6y25 7x6 7x1 12x2 13x36 13y45 13y5 14x18 15y44 17x24 17x9 17y45 17y29 19x19 19x44 19y41 20x45 20x47 20y30 21y34 28y9 28y33 29x15 29x26 29y16 31x2 32x32 36y7 37y11 37y35 38y32 40x31 42y14 42x3 43y31 44x38 45y26 46y35 46x12 47x22 Reduced: 1x1 1y5 2x5 2y4 3x3 4x4 4y3 5x2 5y2 Euler number: -4 Resultant Graph: 1x43 1y14 2x47 2y13 3x45 4x46 4y12 5x44 5y11 6y66 7y65 8y64 9y63 10x33 10y23 11x37 11y22 12x35 13x36 13y21 14x34 14y20 15x62 16x66 17x65 18x63 19x48 19y5 20x51 20y4 22x50 22y3 23x49 23y2 24x15 24y37 25x18 25y36 26x17 26y35 27x16 27y34 28x1 28y47 29x5 29y46 30x3 31x4 31y45 32x2 32y44 33x38 34x42 35x40 36x41 37x39 38x28 38y32 39x32 39y31 40x30 41x31 41y30 42x29 42y29 43x57 44x61 45x59 46x60 47x58 48x6 49x9 50x8 51x7 52x19 52y56 53x23 53y55 54x21 55x22 55y54 56x20 56y53 57x52 58x56 59x54 60x55 61x53 62x10 63x14 64x12 65x13 66x11 Euler number: -27 Ratio: 0.9642857142857143 --------------------------------------------- Iteration 7529728 Graph #1: Original: 1y21 2x67 3x10 5x31 5y54 5x64 6x36 7x53 10y58 11y1 13y4 13y5 13y69 17x55 17y43 17x49 18x33 19y47 20x46 20y41 22x20 23x7 23x58 24x7 26y29 27y4 27y63 30x39 33y25 34x69 38y41 38y2 40y37 41y20 42y4 43x19 44x37 45y22 46x66 46x40 49y66 50x62 50y62 51x46 53x11 53y42 55x20 58y5 58y10 60y52 60y33 61y1 61y24 63x61 63y9 63y43 64y48 65x22 66x35 67y6 67x27 67x14 Reduced: 1x6 1y3 2x5 2y5 3x1 3y1 4x3 4y6 5x4 5y2 6x2 Euler number: -5 Graph #2: Original: 1y8 1y12 4y40 5x16 5y9 6y8 8y13 9x42 11y53 12y11 12y54 13y19 13y53 14y1 16y2 16x13 17x25 18x32 18x51 21y2 21y23 22y37 23y28 23x1 26x50 27x10 28y48 30x23 30y20 30y8 30y29 33x31 34y43 35y50 36y5 37x18 39x50 40y15 41y33 42x5 42x29 43x1 46x41 48x18 49x53 53x5 53x24 54y32 55x57 56x35 57x24 57x12 57y30 Reduced: 1x4 1y2 2x5 2y6 3y5 4x1 4y3 5x6 5y4 6x7 6y7 7x2 7y1 Euler number: -6 Resultant Graph: 1x37 1y16 2x38 2y20 3y19 4x35 4y17 5x39 5y18 6x40 6y21 7x36 7y15 8x31 8y29 9x32 9y33 10y32 11x28 11y30 12x33 12y31 13x34 13y34 14x29 14y28 15x4 15y2 16x5 16y6 17y5 18x1 18y3 19x6 19y4 20x7 20y7 21x2 21y1 22x18 22y36 23x19 23y39 24x15 25x20 25y37 26x21 26y40 27x16 27y35 28x24 28y9 29x25 29y13 30y12 31x22 31y10 32x26 32y11 33x27 33y14 34x23 34y8 35x11 36x12 37x8 38x13 39x14 40x9 Euler number: -29 Ratio: 0.9666666666666667 --------------------------------------------- Iteration 7539672 Graph #1: Original: 2y69 5x11 5x58 6y9 6y62 7y30 7x47 8x42 9x53 10x64 10y32 10y57 13y21 15y64 16x50 16x30 18x72 19y25 19y69 20x20 21y49 24x31 24x17 26y64 26y7 27y20 29x60 29x15 29y54 30y58 32x12 32y25 34y19 35y29 36x42 36y37 37x26 38x43 39x28 40x44 40x65 40y69 41y7 44x30 44y65 44x23 45y51 45y21 46x59 46x32 51y19 51y59 52y58 53x60 53x57 55y27 55x21 56x56 57y1 57x43 59y28 59y33 61y68 61x31 64y63 64y53 64x39 69x51 71x29 73y32 Reduced: 1x1 2x3 2y1 3x5 3y4 4x6 4y2 5x2 5y5 6x4 6y3 Euler number: -5 Graph #2: Original: 1y31 2y61 4x39 5x40 5x64 7y6 8x62 9x63 9y58 10x75 10y60 11y42 11x44 12x2 13y17 13y21 15y3 16x90 16x24 17y40 17y76 18x68 20x43 25x82 26x27 26y10 27y3 29y11 29x42 29x25 30y21 31y41 32y50 32x62 32y1 33x34 36x82 40y17 41x12 42y20 43y47 43y4 45x93 48x38 49y72 50y87 53x17 54y72 54y84 54x60 55y6 55x71 56x18 56y41 56x85 57x48 58y63 61y63 61y81 61x94 64x37 68x3 72x89 72x72 73x30 74x82 78x36 80y38 81x16 82x44 82y63 83y34 84x57 85y69 86x22 86y18 86x27 87x77 88y45 89y54 95x15 95y41 Reduced: 1y4 2x2 2y7 3x7 3y5 4x3 4y3 5x8 5y6 6y8 7x5 7y2 8x6 Euler number: -5 Resultant Graph: 1x1 2x5 3x6 5x3 6x4 7x14 7y5 8x19 8y3 9x15 9y2 10x20 10y4 11y6 12x17 12y1 13x18 14x28 14y26 15x33 15y24 16x29 16y22 17x34 17y25 18y27 19x31 19y21 20x32 21x35 21y12 22x40 22y10 23x36 23y8 24x41 24y11 25y13 26x38 26y7 27x39 28x7 28y33 29x12 29y31 30x8 30y29 31x13 31y32 32y34 33x10 33y28 34x11 35x21 35y19 36x26 36y17 37x22 37y15 38x27 38y18 39y20 40x24 40y14 41x25 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 7606636 Graph #1: Original: 2y40 3x8 4x55 4y32 5x38 7x35 8x52 9y21 12y29 13y52 13x35 15x6 16y15 17x6 17x8 18x3 19y23 19y38 20y33 23y9 23x15 24x34 25x13 26x13 28x13 29x57 31x51 32x44 34x36 35x41 35y33 37y24 38y47 39x15 40y51 40x37 42x24 44x53 45y42 47y32 47y20 49x57 49y56 50y50 50x6 52x51 53y49 53y7 54x13 54x55 56y48 57y51 57y2 Reduced: 1x4 1y6 2x6 2y1 3x1 3y4 4x5 4y3 5x2 5y5 6x3 Euler number: -5 Graph #2: Original: 2x70 2x82 3y24 4y1 4x123 5x141 5x30 6x113 6x63 6x21 9x116 9y80 10y11 12x93 13y6 14x34 14y126 16y138 16y5 20x73 22x63 23x16 24x105 24y120 25y134 25x109 27x7 27x121 28y113 29x127 29x28 29y107 31y71 31y103 34x121 34y76 34x148 34x71 36x93 37x76 37y105 38x126 39x44 47y70 48y19 52y124 52y57 54y51 56y70 64x85 68y17 69x68 70y14 71y145 72x18 73y117 75x7 77x86 77x109 79y98 79x74 80x43 83x14 84y131 84x88 85x42 85y43 89y47 89y135 90x109 90y147 91y134 96y98 97x10 99x113 100x108 101x95 105y39 106x102 110x78 115x18 115x58 118y42 118y124 119y93 120x145 120y13 122x55 122y96 122y6 125x28 126x38 126y120 129y3 129x113 130x132 133x18 133y28 134x5 135x138 136x125 137x127 139y77 139x137 142y71 143x70 146y21 147y75 148y128 149y21 149y4 150x137 151x34 Reduced: 1y4 2x1 2y1 3x7 3y5 4x2 4y7 5x6 6x5 6y2 7x4 7y6 Euler number: -5 Resultant Graph: 1y38 2x22 2y36 3x28 3y39 4x23 4y41 5x27 6x26 6y37 7x25 7y40 8y4 9x36 9y1 10x41 10y5 11x37 11y7 12x40 13x39 13y2 14x38 14y6 15y25 16x1 16y22 17x7 17y26 18x2 18y28 19x6 20x5 20y23 21x4 21y27 22y18 23x29 23y15 24x35 24y19 25x30 25y21 26x34 27x33 27y16 28x32 28y20 29y32 30x8 30y29 31x14 31y33 32x9 32y35 33x13 34x12 34y30 35x11 35y34 37x15 38x16 39x20 40x19 41x18 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 7621207 Graph #1: Original: 1y11 2x70 2y28 2y63 3x67 4x9 6x44 6x22 7x13 7x28 7y22 7y40 8x62 8y34 11y27 14y9 16x47 18y22 22x22 22y1 23y62 23y28 24x5 27y44 30x34 32x11 35x54 36y39 37y19 38y32 39x47 39y48 40y9 46x31 50y19 51x40 51x56 52x49 53x18 54y59 54y12 55x55 56x16 56y66 57x42 57x32 58x46 58x42 63x18 64y56 65x4 65x1 66x38 67x30 74x61 Reduced: 1x1 1y2 2x2 2y3 3x3 3y5 4x5 5x4 5y1 Euler number: -4 Graph #2: Original: 2y73 2x35 2y7 3x74 5x115 6x60 6y66 12y103 12y31 13x78 14x74 15x68 16y36 17x18 19x138 20y52 21x138 21y65 21y99 23x15 24y146 24y39 27y14 30y131 31x82 32y155 33x71 34y9 36x93 36y21 37x43 38x38 39x57 40x25 41y133 43y87 44x91 45x3 45y117 46x101 47y56 48x60 48x64 49x117 54x34 55y88 56x119 56x64 57y132 57y134 58y47 59y72 59y130 60x2 62x71 66x104 66x3 68x41 68y120 71y58 72y113 72y57 72y63 73y133 74x70 76y89 77x115 78x133 80x128 80x152 80x123 82x43 82y13 84x118 85x83 88x78 89y45 89x30 90x48 90x104 93x63 93x99 95x119 96y129 97x120 98y71 100x61 100y42 102x85 108y103 109x30 109y100 112x77 112x120 112x109 115x34 115y25 115y98 116y12 117x4 118y28 121y91 122y151 123y62 123x11 125x81 126x98 126y94 127y23 127x35 128x106 130x129 132y49 133x63 135x88 136x128 139x153 142y43 144y114 145y114 146y28 146y59 147y134 147y25 147x88 149y43 149y79 154y144 154x85 Reduced: 1x1 1y3 2x4 2y6 3x5 3y8 4y5 5x6 5y7 6x8 6y1 7y2 8x3 8y4 Euler number: -6 Resultant Graph: 1x1 1y11 2x4 2y14 3x5 3y16 4y13 5x6 5y15 6x8 6y9 7y10 8x3 8y12 9x9 9y19 10x12 10y22 11x13 11y24 12y21 13x14 13y23 14x16 14y17 15y18 16x11 16y20 17x17 17y32 18x20 18y35 19x21 19y37 20y34 21x22 21y36 22x24 22y30 23y31 24x19 24y33 25x30 26x34 27x35 28x37 29x32 30x25 30y3 31y6 32x27 32y8 33y5 34x28 34y7 35x29 35y1 36y2 37x26 37y4 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7631740 Graph #1: Original: 3x51 4y40 4y67 5x72 6x12 7x26 9y61 10y90 10y97 14x26 14x43 14x95 15x14 18x10 20y99 21y24 22y13 26x76 27x101 27y19 29y22 29x48 29y2 30x4 30y68 31y55 33y31 33x11 33x61 34y7 35y98 37y1 37y95 38x4 40y22 41x102 43y111 44y52 44y47 45x85 46x80 46y45 46x58 48y18 49x14 49y92 49x42 50y97 50x95 54x31 55x48 57x85 59x1 59x24 59x3 60x106 64x62 70y119 71y25 71y107 71y101 71x26 72x58 75x84 75y5 78y54 80x52 80y27 81x80 81y82 83x1 87y99 88x8 89x66 90x22 90x66 93x97 93y1 95y93 96x72 98x41 98y17 98x5 99x67 100x43 100x117 101y79 102x9 103x111 105y104 106x72 106y61 108y49 109x97 109y43 109y113 112x79 112y37 112y27 Reduced: 1y4 2x1 2y3 3x6 3y2 4x5 4y1 5x2 5y6 6x3 6y5 Euler number: -5 Graph #2: Original: 1y79 2x75 4x58 5y7 5x70 5y49 5y78 6x54 6x37 7y4 7y35 8x57 8y63 9y55 11y36 12x10 14x28 16y71 17x27 19x39 22y39 24y69 25x1 25x71 27x19 28y79 28y14 30y28 32x39 34x34 36x10 40x56 40y57 41x51 41y24 41x58 42x69 43x9 43y7 43x9 45y72 48x39 49y20 49y48 50x46 54y5 54x25 55x29 57x23 58y45 60x13 61y65 61x68 61y54 65y36 65y5 65x38 67y77 68x53 69x53 69x35 70y60 70y59 72x9 75x30 76x1 77x78 78x67 79y16 79y46 Reduced: 1y2 2x7 3y10 4x2 4y5 5x10 5y9 6y3 7x4 7y1 8y11 9y12 10x3 10y6 11x12 12x8 12y7 Euler number: -5 Resultant Graph: 1y37 3y44 4y40 5y43 6y38 7y36 8y45 9y46 10y41 11y42 12y25 13x7 14y33 15x2 15y28 16x10 16y32 17y26 18x4 18y24 19y34 20y35 21x3 21y29 22x11 23x8 23y30 24y13 25x65 26y21 27x60 27y16 28x68 28y20 29y14 30x62 30y12 31y22 32y23 33x61 33y17 34x70 35x66 35y18 36y2 37x53 38y10 39x48 39y5 40x56 40y9 41y3 42x50 42y1 43y11 44x49 44y6 45x58 46x54 46y7 47y60 48x18 49y68 50x13 50y63 51x21 51y67 52y61 53x15 53y59 54y69 55y70 56x14 56y64 57x23 58x19 58y65 59y48 60x30 61y56 62x25 62y51 63x33 63y55 64y49 65x27 65y47 66y57 67y58 68x26 68y52 69x35 70x31 70y53 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 7661016 Graph #1: Original: 3x20 3y61 4y63 6y32 6y8 8y50 9y32 10x39 11x75 11y66 12x24 13x60 13y29 13x6 14x49 14y77 14x23 15x37 16x6 17x47 20x22 22x56 22x2 26y29 26x11 27y41 27y48 27y5 28x67 29y13 29x52 29y8 31y42 32x3 34x25 34x46 37x29 37x11 38x56 38x69 38y38 39y20 42x18 43y29 43x71 44y16 45x37 45x65 47y39 47x70 48y15 51y41 52y34 53x38 55x37 55x43 56x65 57y11 58x15 64x72 66y71 70y33 70x36 70x51 71x39 75y62 75y68 77y45 Reduced: 1x3 1y6 2x5 2y3 3x2 3y2 4x1 4y4 5x4 5y5 6y1 Euler number: -5 Graph #2: Original: 2y55 4y39 5y43 7x60 8y62 8y34 9y4 10x6 10x40 11x15 11y29 12x35 12y25 13y11 14x23 14y35 14y56 15y29 16y50 17x49 20x55 21y27 21x12 24y24 24x55 25y30 26x50 26x25 27y21 28x15 29x43 30y11 31x33 32y51 33x50 35x60 36y56 36y43 40y62 41x16 42x26 44y4 45x46 45y52 45y34 47y26 47y54 50x61 50y23 55x17 55y56 56y33 57x17 58x50 59x5 62x30 Reduced: 1y4 2y1 3y8 4x4 4y5 5x9 5y2 6x1 6y9 7y6 8x5 8y3 9y10 10x2 11x6 11y11 Euler number: -5 Resultant Graph: 1y52 2y49 3x22 3y53 4x26 4y50 5x19 5y54 6x23 6y51 7x20 8x24 8y55 9y22 10y19 11y25 12x42 12y23 13x46 13y20 14x39 14y26 15x43 15y21 16y27 17x40 18x44 18y28 19y12 20y9 21y15 22x12 22y13 23x16 23y10 24x9 24y16 25x13 25y11 26y17 27x10 28x14 28y18 29y32 30y29 31y35 32x3 32y33 33y30 34x1 34y36 35x4 35y31 36y37 37x2 38x5 38y38 39y42 40y39 41y45 42x32 42y43 43x36 43y40 44x29 44y46 45x33 45y41 46y47 47x30 48x34 48y48 49y3 50y1 51y6 52y4 53y2 54y7 55y8 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 7667791 Graph #1: Original: 3y36 3y2 4x39 4y29 7y31 7x24 10x30 11x31 12x37 13y32 15x31 16x33 16x39 17x30 17x39 18x33 19y15 20x40 21y2 21y33 22x28 22y48 24y8 24y2 26y35 26x19 26y32 27y44 27y41 28y29 29y41 31y3 32x13 32x1 32x3 34x38 34y37 35y45 35y46 35x6 38y1 40y5 41y17 43y4 45x5 45x43 46x15 47x29 48x28 Reduced: 1y2 2x4 2y3 3x5 3y1 4x2 4y6 5x6 5y4 6x1 6y5 7x3 7y7 Euler number: -6 Graph #2: Original: 1y47 2x55 2x39 3x16 4x31 4x7 4y50 6y42 6y29 7x23 7y39 10x38 11y27 12y44 12x22 13y19 13y10 14x62 14y6 16y32 19y11 19y45 24y51 24x52 25x60 25y51 27y52 27x57 27y4 29x10 32x2 33y2 34x58 37x47 38x14 38x29 39x30 39x45 40x32 41y60 41x38 43y8 43y51 46x24 47y6 47y18 47y5 50x34 51y39 53y26 56x47 58x20 59x51 59x51 61y54 61x16 61y26 63x44 65x9 Reduced: 1y6 2x5 2y7 3x7 3y4 4y3 5x6 6x2 6y1 7x4 7y2 Euler number: -4 Resultant Graph: 1y12 2y13 3y10 4y9 5y7 6y8 7y19 8x25 8y20 9x27 9y17 10y16 11x26 12x22 12y14 13x24 13y15 14y5 15x32 15y6 16x34 16y4 17y3 18x33 19x29 19y1 20x31 20y2 21y40 22x11 22y41 23x13 23y38 24y37 25x12 26x8 26y35 27x10 27y36 28y26 29x39 29y27 30x41 30y24 31y23 32x40 33x36 33y21 34x38 34y22 35y33 36y34 37x6 37y31 38y30 39x5 40x2 40y28 41x4 41y29 42y46 43x18 43y47 44x20 44y45 45y44 46x15 46y42 47x17 47y43 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7682200 Graph #1: Original: 2y110 2y47 4x86 4x104 5y35 5y86 6y72 6x71 9y85 9x55 10y73 10x118 15y98 16x72 17x95 17y70 18y92 18y90 20y74 20x30 22x81 22y97 25y48 25x33 28y102 30x100 30x115 31y106 32y16 33y116 41y10 41x66 42x122 42x55 42y68 43x33 43x48 44x101 46x59 46y27 47x5 47y30 50y17 51y96 51y42 51y117 53y45 54y109 54x11 54x80 56x31 60x85 62y102 62y85 63y76 63y69 63y8 64y29 66y58 66y8 67y35 68y88 71x79 72y84 73y99 75y53 75y66 75y39 75y17 76y91 77y69 77x3 77x13 78y84 78x108 81x120 82y69 84y27 86y87 92x3 92x36 94x70 95x56 96y15 97y63 98y102 98y10 100y113 102y93 102y104 102x21 104x52 105x11 106y31 106x82 106x53 106y67 107y98 109x50 111x58 113x122 113y100 114y22 114x103 116x19 117x50 118x36 119y49 Reduced: 1x2 1y1 2x4 3x1 3y3 4x3 4y4 Euler number: -3 Graph #2: Original: 1y107 3x72 4y37 4x51 4y71 5y47 5x54 6y99 7x43 11y21 13y77 13x14 14x104 14y13 15x43 17y30 17y58 17x31 18y110 19y39 20y53 21y105 22x110 23y42 25x35 25x106 25x86 27x107 28x63 31x7 31x16 33x72 35y8 37x45 39y72 40y93 41x59 41y6 42x88 43x45 44y33 45y34 45x44 52y48 53x66 55y18 57x26 58x90 58y75 58x46 59x31 60y76 61y8 61y45 65y73 68y55 69x24 69y96 69x83 70y34 70y4 71x50 74x56 74y18 76y91 76x69 76y76 77x6 77x16 78x89 79x103 79x12 79x75 86x80 89y50 89x54 90y28 90y85 90x12 92x4 97x107 97x85 97y9 98y40 99x82 100x96 100y105 104x85 105y62 105y75 105x50 106x78 108y47 109y1 109x72 110y62 Reduced: 1x2 1y5 2x11 2y1 3x5 3y12 4x12 5x4 6y8 7x1 7y7 8x9 8y10 9x8 10x6 10y3 11x3 11y4 12x10 12y6 Euler number: -8 Resultant Graph: 1x14 1y5 2x21 2y1 3x17 3y12 4x22 5x16 6y8 7x13 7y7 8x19 8y10 9x18 10y3 11x15 11y4 12x20 12y6 13x36 14x45 15x39 16x46 17x38 18x43 19x42 20x40 21x37 22x44 23x2 23y27 24x11 24y23 25x5 25y34 26x12 27x4 28y30 29x1 29y29 30x9 30y32 31x8 32x6 32y25 33x3 33y26 34x10 34y28 35x24 35y39 36x33 36y35 37x27 37y46 38x34 39x26 40y42 41x23 41y41 42x31 42y44 43x30 44x28 44y37 45x25 45y38 46x32 46y40 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7778402 Graph #1: Original: 1y58 1x89 2y76 2y58 3x73 4x71 4y59 5x79 10x59 11x91 12y85 12y18 13y43 13y36 14y21 15y65 15y83 15x46 16y57 16y20 16x22 17x68 20y15 21x7 23x64 25x17 25x29 26y3 27x69 27y81 29y72 30x75 30y89 30y38 31x64 32x31 33x78 33y59 34x7 35y21 36x75 37x22 39x73 40x94 41x2 45x18 46y13 47y61 49x29 49y88 49x71 50x12 50x61 53y42 53y5 54x81 55y28 57y29 59x41 61y76 63x27 64y6 64x21 66x93 67y92 68y45 69x56 70x1 71y79 72y91 73y68 76x13 77x90 77y81 78x19 78y34 78x60 79x72 80x23 82y84 83x42 83x90 86x15 87y68 87x4 88x10 89y73 90x40 90y57 91y28 92y48 93x45 Reduced: 1x6 1y10 2x2 2y5 3x7 3y2 4y1 5y3 6x1 6y11 7y8 8x11 8y4 9x3 9y6 10x9 10y7 11x8 Euler number: -7 Graph #2: Original: 1x8 1x71 1x11 2x7 3y83 3y91 5x26 7y60 7y88 8x23 9x51 11x15 12x24 12x1 13y48 15y10 15x26 17x81 17y70 19y30 19y75 25y62 25x72 26y4 26y52 27x47 27x32 28y54 29x34 31x25 31y36 32y85 34x60 36x61 37y12 37y68 39y66 44x32 45x31 45y55 50y91 51y67 52y44 55y51 55x29 57y55 58y44 58x41 58x62 62y32 62x17 63x21 64y27 65y78 67y45 67x82 69x60 70y45 74x3 74y38 75x59 76y14 82x81 89y30 89x52 90x4 90x4 91x44 Reduced: 1x2 1y4 2x3 2y1 3y2 4x1 4y3 5x4 Euler number: -3 Resultant Graph: 1x22 1y40 2x23 2y37 3y38 4x21 4y39 5x6 5y20 6x7 6y17 7y18 8x5 8y19 9x26 9y8 10x27 10y5 11y6 12x25 12y7 13y4 14y1 15y2 16y3 17y12 18y9 19y10 20y11 21x2 21y44 22x3 22y41 23y42 24x1 24y43 25y32 26y29 27y30 28y31 29x42 29y16 30x43 30y13 31y14 32x41 32y15 33x10 33y24 34x11 34y21 35y22 36x9 36y23 37x34 37y28 38x35 38y25 39y26 40x33 40y27 41x30 42x31 44x29 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7782058 Graph #1: Original: 1y74 2y12 2x6 3y51 3y69 4x56 7x73 11x51 11x42 12y5 13y28 13y20 14y18 15x16 16y52 16y44 17y19 18x42 18x50 19x25 22x57 22y38 24x29 25x73 26y47 26y64 27x31 27y59 27y23 29x67 30x53 31x5 33x41 34y19 36y53 37y29 40y23 42x61 42x28 43y26 45y44 47x64 49y17 49x49 49y56 50y39 51x79 53y65 54y53 56x76 56y32 57y28 59x33 59x30 60x22 62y48 62x74 62y65 63x21 64x39 65x61 65y30 66y63 67y72 67x49 68x62 69x6 71x14 71y70 71x60 71y45 72x13 76y37 Reduced: 1x4 1y2 2x2 2y1 3x3 3y6 4x1 4y3 5x6 5y4 6x5 Euler number: -5 Graph #2: Original: 3x23 7x5 11x3 17y49 18y52 19y19 20x54 21y22 21y3 21x39 23x51 25x8 25x27 26y41 27x18 28x2 29x26 30x51 33x2 35y49 36y11 36y49 37y33 38x12 38y56 38y53 39x25 40x45 43y17 44x40 45y48 46x13 46x21 47y51 47x16 47x16 48x5 48y26 48y43 49y31 49y38 51x39 51x57 52x44 53y8 53y12 56y41 57y8 Reduced: 1x4 2x3 2y7 3y10 4x9 5x7 6x5 7x1 7y8 8x2 8y11 9x11 9y1 10x6 11x8 11y2 Euler number: -5 Resultant Graph: 1x37 2x36 2y18 3y21 4x42 5x40 6x38 7x34 7y19 8x35 8y22 9x44 9y12 10x39 11x41 11y13 12x15 13x14 13y7 14y10 15x20 16x18 17x16 18x12 18y8 19x13 19y11 20x22 20y1 21x17 22x19 22y2 23x26 24x25 24y58 25y61 26x31 27x29 28x27 29x23 29y59 30x24 30y62 31x33 31y54 32x28 33x30 33y55 34x4 35x3 35y29 36y32 37x9 38x7 39x5 40x1 40y30 41x2 41y33 42x11 42y23 43x6 44x8 44y24 45x56 46y40 47y43 48x60 49x57 50x54 50y41 51x55 51y44 52x62 52y34 53x59 53y35 54x48 55x47 56x52 57x50 58x45 59x46 60x53 61x49 62x51 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 7789239 Graph #1: Original: 1x17 1x45 3y36 3x1 5x3 6x48 7x3 8y37 8y47 9x12 9x15 11x21 13x47 14y22 15x37 16x8 17x48 19y46 22x37 22y1 25y22 25x49 30y40 30x20 32x19 33x49 34y49 37x9 37y33 39y4 39y7 41y17 41y11 43y27 44y9 45x17 46y8 48y19 Reduced: 1x1 1y4 2y8 3x6 4y7 5y6 6x8 6y1 7y2 8x3 8y5 Euler number: -3 Graph #2: Original: 1x34 1y61 1y106 2y66 2y64 2x41 3x116 10y84 10y48 12x129 13y35 15x54 16x63 18y89 18x43 19x61 22y119 24y130 25y120 25x55 25y112 27y100 28y34 29x105 32x1 33y96 34y21 35y59 38y133 39y18 41x25 42y122 43x53 43x133 44x40 46y47 47x80 48x8 50x88 51y112 52y124 53x75 54x64 55y55 56x61 56x17 60y47 61y79 64x62 65x44 65x22 66x118 67y2 69x86 70x67 73y122 74x48 75y58 75x85 78x57 79y65 80x104 80x12 81x92 83x76 84y24 84y57 85y18 86y60 87x124 90y13 90x126 91y107 92x118 93y127 93x3 94y39 94y115 95y61 97x61 97x59 99y40 101y100 101x109 101x28 104y98 105y133 105x70 105x52 105x9 106y28 107y100 108x64 111y10 115x124 118x19 120y91 121y69 122y30 122y91 123y125 124y28 126x111 127y126 127x69 131y61 131y37 131x51 131x3 131y4 132y18 132y34 Reduced: 1x9 1y1 2x8 2y4 3y6 4x1 4y5 5x6 5y9 6x4 6y8 7x2 7y3 8y2 9x7 9y7 Euler number: -7 Resultant Graph: 1x9 1y25 2x8 2y28 3y30 4x1 4y29 5x6 5y33 6x4 6y32 7x2 7y27 8y26 9x7 9y31 10y61 11y64 12y66 13y65 14y69 15y68 16y63 17y62 18y67 19x51 20x50 21x43 22x46 23x44 24x49 25y52 26y55 27y57 28y56 29y60 30y59 31y54 32y53 33y58 34y43 35y46 36y48 37y47 38y51 39y50 40y45 41y44 42y49 43x69 43y1 44x68 44y4 45y6 46x61 46y5 47x66 47y9 48x64 48y8 49x62 49y3 50y2 51x67 51y7 52y10 53y13 54y15 55y14 56y18 57y17 58y12 59y11 60y16 61x24 61y34 62y37 63y39 64x19 64y38 65x22 65y42 66x21 66y41 67x20 67y36 68y35 69x23 69y40 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7798243 Graph #1: Original: 3y58 3x45 4x21 5x54 5x48 6x11 7x58 7x14 8x2 8x69 13x74 13y36 13x62 14x73 14y67 14x63 15y20 19x51 21y16 21y79 23y26 24y67 24y36 26x38 26y35 26y81 26y26 27y54 27y10 29x73 31x62 31y43 31x55 32x81 35y64 36x54 36y88 37y33 37y1 38x54 40y15 42x60 44x15 45x41 46y1 46x84 47y12 49y17 50y17 50x47 52x35 53x31 54x4 54y48 54x28 55y80 55x83 58x68 60x73 61x78 63x15 64y69 65x17 66y18 68y54 69x38 72x69 72y52 73y45 75y62 76x84 77x40 78y30 79y70 83y17 87y35 Reduced: 1x3 1y1 2y2 3x4 3y3 4x2 4y4 Euler number: -3 Graph #2: Original: 1y3 1y32 2y40 2y2 4x8 4y72 6y81 6y83 7x19 7y47 8x37 8x83 9x10 10x14 11y24 12x75 12x75 13y61 15x62 17x12 17y58 18y25 19x10 20x40 20y39 24x43 26y54 28y3 28y20 29y1 30y69 31x79 31y70 34y17 34x57 34y12 35x62 35y18 36y48 37y87 39y38 40y46 41x61 42x45 43y69 44x25 45x71 45x72 50x20 50y52 52x17 53x71 55x30 55y76 56y77 59y44 60x22 61x74 63x76 64y60 64x76 66y72 70y38 72x2 73x61 74x10 77x59 77y50 78y44 79x9 80y20 80y29 80y73 81x45 82y84 82x88 82y59 84x66 86y11 87y18 87x34 88x12 Reduced: 1x4 1y1 2x1 3x7 3y8 4x3 4y9 5x6 5y4 6x8 6y2 7y7 8x2 8y3 9x9 9y6 Euler number: -7 Resultant Graph: 1x20 1y1 2x17 3x23 3y7 4x19 4y8 5x22 5y4 6x24 6y2 7x18 7y3 8x25 8y6 9y9 11y15 12y16 13y10 14y14 15y11 16y13 17x29 17y17 18x26 19x32 19y24 20x28 20y25 21x31 21y20 22x33 22y18 23y23 24x27 24y19 25x34 25y22 26x12 26y26 27x9 28x14 28y33 29x11 29y34 30x13 30y29 31x15 31y27 32y32 33x10 33y28 34x16 34y31 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7825667 Graph #1: Original: 1x55 3y20 4x116 7y63 7y68 9x4 10x94 11x23 12y83 14y18 15y1 15x64 15y7 16y33 16y95 17x144 20y41 20y146 20y54 21x66 27x61 27x94 28y65 29x149 29x48 32y122 33x102 35y51 36y41 36y28 37x129 38x2 38x80 39x101 39x4 40x68 41x11 44y66 49x95 54x1 54y90 58y120 58x2 58x96 62y29 64y1 65y89 67x105 68x57 69y40 71y18 72x106 72y86 73x24 76y81 77x62 79x52 80x112 81x103 82y110 83x1 84y142 85y32 85x9 87x1 88y79 90x148 90y128 93y32 94y15 96y18 96x104 97y49 98x37 99y4 100x111 101x149 101y154 104x43 105y130 105y75 105x137 110y41 111y124 112y142 114y36 115y136 116x37 117x61 118y101 119x55 119y144 121y35 122y103 124y85 125x71 125x80 126y100 128x146 128y73 130x59 131x124 131x61 134x82 136y86 136x55 140y9 140x134 141y26 142y145 142y103 144y8 145x73 145x53 146y123 146x94 147y44 148y51 149x63 150y113 151y62 154x36 Reduced: 1x2 1y3 2x3 2y1 3x5 3y4 4y2 5x1 5y6 6x6 6y5 Euler number: -5 Graph #2: Original: 2x48 3y75 4x84 6x14 6x53 9y45 9x82 10x64 10x18 13y66 15x58 15x65 16y35 16x69 17x17 17y94 18y44 19y48 20y40 20y46 20x14 20x90 22x86 23x47 25y45 26y33 28y36 31x78 34x18 35y18 37y95 38y56 39y20 39x64 40x92 42x48 46y39 46x91 48x92 50x85 50y55 55x94 56y3 61x2 63x34 64y78 65x1 65y17 65x55 66y81 67y8 69x13 69x95 70x14 70x52 73y65 74x25 75x36 76x54 77x26 78x55 79y29 81x62 81y61 86y32 88x30 90x60 91x7 94x47 95y95 95x60 Reduced: 1x10 1y4 2x2 2y12 3y11 4y3 5x3 5y10 6y5 7x9 7y7 8x12 9x6 10x7 10y6 11x8 11y2 Euler number: -5 Resultant Graph: 1x21 1y27 2x14 2y35 3y34 4y26 5x15 5y33 6y28 7x20 7y30 8x23 9x17 10x18 10y29 11x19 11y25 13x33 13y4 14x25 14y12 15y11 16x26 16y10 17y5 18x32 18y7 19x35 20x29 21x30 21y6 22x31 22y2 24x53 24y38 25x45 26y43 27y37 28x46 28y42 29y39 30x52 30y41 31x55 32x49 33x50 33y40 34x51 34y36 36y23 37y22 38y15 39y21 40y16 41y18 42y17 43y14 44x10 44y59 45x2 45y67 46y66 47y58 48x3 48y65 49y60 50x9 50y62 51x12 52x6 53x7 53y61 54x8 54y57 56x65 56y47 57x57 57y55 58y54 59y46 60x58 60y53 61y48 62x64 62y50 63x67 64x61 65x62 65y49 66x63 66y45 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 7843095 Graph #1: Original: 2x26 3y37 4x37 5y47 6y48 9y23 12y13 14y1 14y21 16y26 16y38 17x7 18x50 18y18 19x30 19x33 20y10 23y43 27x38 27x3 28y25 30y15 32y43 33y38 35x22 35y17 35y12 35y2 36x28 36x33 37x32 37y50 38x22 39y28 39y8 44x37 45x25 46y47 47y22 48x19 48x24 48y45 50y32 Reduced: 1x4 1y1 2x3 2y4 3x1 3y2 4y3 Euler number: -3 Graph #2: Original: 1x54 2y100 3x75 3y7 3y68 3x55 4y40 5x79 11x72 12x21 13y2 14x31 14x9 15x39 15y49 17x80 17y72 17x35 18x19 20x19 21x19 23y93 23y101 24x2 25x43 26x75 27x8 28x87 29y73 31y24 33x72 36y85 36x34 37y47 39y15 43x39 43x53 44x68 44x51 45x68 45x22 45x65 46y94 47y40 47x36 48y17 48y75 50y95 50x64 54y60 54y82 57y1 59y20 62x16 62x58 63x101 64y20 64x6 66x67 68x41 69y57 70x61 71x15 72x4 72x71 73y64 74x71 75y81 77y11 77y36 78y43 79y14 82x5 82x78 83y90 83x87 84y39 85x84 85x76 86x19 87x55 89x61 90y6 91y87 93y93 95y95 96y26 96y66 96x44 98y84 98x1 99y89 99x16 100y86 100y6 101y62 Reduced: 2x8 3y2 4x5 4y6 5x11 5y4 6x7 6y11 7x3 7y5 8x6 8y9 9x1 9y1 10x9 10y10 11x4 11y7 Euler number: -7 Resultant Graph: 2x38 3y2 4x35 4y6 5x41 5y4 6x37 6y11 7x33 7y5 8x36 8y9 9x32 9y1 10x39 10y10 11x34 11y7 12x28 13x25 13y36 14x31 14y34 15x27 15y41 16x23 16y35 17x26 17y39 18x21 18y32 19x29 19y40 20x24 20y37 22x8 23y12 24x5 24y15 25x11 25y13 26x7 26y20 27x3 27y14 28x6 28y18 29x1 30x9 30y19 31x4 31y16 33y22 34y26 35y24 36y31 37y25 38y29 39y21 40y30 41y27 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7849490 Graph #1: Original: 1y86 3x44 4y18 4y62 5x39 7x41 8x44 9x2 9x8 9x72 10y55 10x40 11x40 12x13 13y28 16y52 17x18 17y32 17x19 19y6 19x14 20x45 24y40 24y70 24x71 25x5 25x70 26x60 26x12 27x46 28x48 28x5 28x68 29x23 30x23 31y55 32y17 33x13 36x56 42y55 42y38 44y26 44y60 45y76 46x3 47x81 48y40 49x87 50x10 50y33 51y34 52y32 53x63 54x6 58y80 61x50 62y71 63x67 65x45 65y63 65y77 66y15 68y68 71x11 74y45 75y62 79y87 81x26 84y32 84y52 86y26 90x7 91x35 91y62 91x73 92y38 Reduced: 1y5 2x2 2y6 3x5 3y3 4x1 4y4 5x6 5y2 6x3 Euler number: -4 Graph #2: Original: 3y56 5y44 5y33 7x39 8y52 8y53 11y23 11x48 12y45 12x53 14x7 14y32 18y48 19x37 19x15 20x15 20y1 21x49 21y41 24y31 26x35 28y30 28y44 28x28 29y50 29y52 32y50 32x43 33x56 33y51 37y18 37x25 37x3 39x49 40x13 41y7 42y28 42y45 44x12 45y27 46x12 48x40 48x3 50y35 51y40 51y23 52x33 53y48 56y6 57x16 58x37 59x49 59x2 Reduced: 1y7 2x5 2y4 3x3 3y5 4x1 4y2 5x7 5y6 6x4 6y1 7x2 7y3 Euler number: -6 Resultant Graph: 1y34 2y31 3y32 4y29 5y33 6y30 7y41 8x11 8y38 9x9 9y39 10x7 10y36 11x13 11y40 12x10 12y35 13x8 13y37 14y20 15x32 15y17 16x30 16y18 17x28 17y15 18x34 18y19 19x31 19y14 20x29 20y16 21y27 22x5 22y24 23x3 23y25 24x1 24y22 25x6 25y26 26x4 26y21 27x2 27y23 28y13 29x39 29y10 30x37 30y11 31x35 31y8 32x41 32y12 33x38 33y7 34x36 34y9 36x18 37x16 38x14 39x20 40x17 41x15 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7902927 Graph #1: Original: 3x27 3x51 3x52 5y66 7y92 9x36 10x96 13x83 14y33 14x38 15y8 15x94 16y63 16y51 17x72 17y89 17y31 18x46 18x77 18x39 20y89 20x58 21y10 21y1 22y93 22x86 23x46 24y88 24x22 25y11 25x7 28x95 29x93 29x55 30y30 31y8 32y95 33y76 33y13 34x97 35x98 35x85 36y15 39y70 40y4 40y67 41y16 41x97 41y2 42x36 42x27 43y12 43x9 47x79 47y26 48y7 54x45 56x29 58x10 59y79 61y33 62y53 64x85 65y48 69y30 70y85 71y87 73y49 73x58 76y95 76x18 76y8 77x25 78y73 80x78 81x4 82y88 84x73 85x11 85y67 86y29 88y11 89x95 90x72 91y80 91x54 92y29 93y12 94x40 95y61 95y53 95y42 96x59 99y85 Reduced: 1x5 1y1 2x4 2y4 3x6 3y5 4x7 4y6 5x3 5y3 6x8 6y8 7x1 7y9 8y2 9y7 Euler number: -7 Graph #2: Original: 1y8 2x8 3y1 4y7 5x13 8y10 9x7 10x10 10y11 11x7 11y5 12x3 12y2 12y9 13x2 Reduced: 1x4 1y2 2x2 2y3 3x1 3y1 4x3 Euler number: -3 Resultant Graph: 1x19 1y2 2x17 2y3 3x16 3y1 4x18 5x15 5y13 6x13 6y14 7x12 7y12 8x23 8y17 9x21 9y18 10x20 10y16 11x22 12x27 12y21 13x25 13y22 14x24 14y20 15x26 16x11 16y9 17x9 17y10 18x8 18y8 19x10 20y29 21x29 21y30 22x28 22y28 23x30 24x4 24y32 25x2 25y33 26x1 26y31 27x3 28y6 29y7 30y5 31y25 32y26 33y24 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7914977 Graph #1: Original: 1y143 1x74 1x72 2y151 4y3 4x65 4x149 5x123 6y138 6y13 8y60 10x104 12x148 14y102 15x85 20x34 21y11 23y55 24y3 26x24 28y97 28x13 30x19 35x85 36x56 36x118 36y95 38y85 39x93 40x100 41y24 44y91 45x39 46x15 46y113 47y55 47x56 47y40 48y149 50x122 51x59 52y10 53y46 54y46 56y96 57y89 57x78 57y131 58x141 61x133 63x57 63x70 65x135 65y9 67y116 69y68 69x50 70y18 72x44 76y28 78y113 78x147 81x142 82y10 82x144 84y72 84y120 85x51 85x19 86y71 87y99 88x63 92x34 96y5 100y133 101x17 101y30 101y53 103y88 103y100 105y67 106y103 107x11 108x6 108x148 108y116 108x14 109y49 110y78 113y116 113x129 115y5 115x71 115y92 117y18 118x76 119x15 120y127 123x27 124x44 124y4 125x151 125x96 125x9 132x126 133x73 133y4 133x105 134y143 135y57 139y107 141x143 142y123 143y73 145y34 149x142 150x114 151x36 Reduced: 1x5 1y5 2x1 2y6 3x7 3y7 4x3 4y1 5x9 5y2 6x4 6y8 7x8 8y3 9x6 9y4 Euler number: -7 Graph #2: Original: 1x113 1y8 1y9 4y99 6y17 7y60 7y108 7x32 8x87 9y49 10y95 11x128 14y9 15y66 16y106 17y44 17y78 17y134 17x84 18y8 18y20 18y75 19y21 19y89 23x25 24x104 26x50 26y67 26x117 28y86 31y16 32y12 34y105 35x133 35y124 36y51 38y120 38y134 43y29 46y76 46x134 50y21 50y57 51x129 52x44 53x12 54y25 55y115 60x118 65x108 66x114 67x60 67y1 67x90 68x126 69x33 70x120 72y86 72y43 72x104 73y44 73x126 77x133 77y85 80x62 80y49 81y79 84x125 85x110 87y123 91x127 94y26 95x131 96x46 99x69 100y3 100y128 101x25 101y100 105y8 109x47 110x128 111x49 111y1 114y67 118y56 121y8 122y20 122x10 124x64 125y93 125x16 127y121 128y60 128y39 128y65 128y30 130y125 131y34 132y98 133x104 133x65 134y87 Reduced: 1x4 1y1 2x2 2y3 3x1 3y4 4y2 Euler number: -3 Resultant Graph: 1x20 1y17 2x18 2y19 3x17 3y20 4y18 5x4 5y21 6x2 6y23 7x1 7y24 8y22 9x28 9y25 10x26 10y27 11x25 11y28 12y26 13x12 13y1 14x10 14y3 15x9 15y4 16y2 17x36 17y5 18x34 18y7 19x33 19y8 20y6 21x16 21y29 22x14 22y31 23x13 23y32 24y30 25x32 26x30 27x29 29y9 30y11 31y12 32y10 33x24 33y13 34x22 34y15 35x21 35y16 36y14 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7927387 Graph #1: Original: 1y56 2y30 5y25 5y10 6y57 6y52 7y35 9y59 10y116 11y19 13x71 14x33 14x102 15x73 16x28 16x42 18y104 19x30 19x54 20x55 20y39 21x110 24y19 26y116 26y27 28y3 28x10 30x41 32y90 32x57 34x82 35y53 36x34 38x113 38y14 39x71 40x91 41y111 42y79 43x21 43x86 46y93 47y106 50y40 50y47 51y60 51x56 51y77 52x9 55y56 58x66 59y43 64y30 69y76 69x107 71x40 73x20 73y69 73y90 75y56 75x82 76x62 77y4 78y28 78x35 79x106 82y115 82x94 83y1 84y17 84x93 85y91 85y92 86y19 87x62 87x68 89x93 91y118 92y33 93y32 95y21 99y57 99x19 100x53 100x9 103y111 104x91 104x15 105x5 106y82 106x104 107y72 107x119 108x42 108y112 109x3 111y74 112y63 112x80 112y59 113x21 114y33 115y114 116x62 117x47 117y61 118x75 120y104 Reduced: 1x3 1y6 2x8 2y1 3x6 3y5 4y11 5x12 6x4 6y9 7x10 7y12 8x2 9y8 10x1 10y3 11y10 12x7 12y4 Euler number: -7 Graph #2: Original: 1y26 2y8 3y21 4x16 12x17 13y15 14y34 16y24 17y7 19x26 20x17 21x33 21y8 23x1 24y20 25x22 25x2 27y5 29x6 29x16 30y38 30y3 32y25 32y24 33x10 33x23 35x1 35y20 35y5 36y3 36y13 36y31 37x10 38x3 40x32 40x1 40y38 Reduced: 1x2 1y4 2x4 3x3 3y1 4x1 4y3 Euler number: -3 Resultant Graph: 1x10 1y22 2x12 3x11 3y19 4x9 4y21 5x28 5y4 6x30 7x29 7y1 8x27 8y3 9x20 9y18 10x22 11x21 11y16 12x19 12y17 13y40 14y38 15y39 16x42 17x43 18x41 19y33 20x15 21x14 21y31 22x13 22y32 23x35 23y44 24x37 25x36 25y41 26x34 26y43 27x6 28x8 29x7 30x5 31y30 32y27 33y29 34x2 34y12 35x4 36x3 36y9 37x1 37y11 38y37 39y34 40y36 41x24 41y15 42x26 43x25 43y13 44x23 44y14 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7937185 Graph #1: Original: 2y59 3y9 4x22 4y5 6y36 8y46 9y8 9x42 10y39 11y21 12y58 14y8 16y35 19y53 20x48 21x59 21x43 22x42 22y52 23y40 23y20 24x32 25x43 26y33 27y44 27x10 27y7 28x53 29y33 29y1 30y23 31y43 31y34 32x11 32y32 36y57 38x4 38x29 39x9 40x58 40x25 41x27 42y22 43y44 46x41 48x4 49y47 50y59 50x24 54x58 55y40 58x18 59x14 Reduced: 1y5 2x6 2y7 3x4 3y6 4x1 4y4 5x2 6x3 6y2 7x5 Euler number: -4 Graph #2: Original: 3y16 4y33 5y34 6x4 6x49 7x4 11x51 13x9 15x17 16y22 17y15 19x4 20y48 22x9 22x29 24x22 25x38 26x13 27x50 27y37 28y5 29y34 30y49 30y13 31x36 31y10 32y29 33x33 34y46 34x37 34y46 35x27 36x18 36x47 37x16 38x9 38y32 41x14 41x12 43x29 44y36 44y41 46x36 47y16 48y6 49x24 49x42 50y38 50x41 51y22 Reduced: 1x7 1y1 2x1 2y7 3x5 3y6 4x2 5x3 5y2 6x6 6y5 7x4 7y3 Euler number: -6 Resultant Graph: 1y28 2y34 3y33 4y29 5y32 6y30 7x41 7y42 8x35 8y47 9x39 9y46 10x36 11x37 11y43 12x40 12y45 13x38 13y44 14x27 14y35 15x21 15y41 16x25 16y40 17x22 18x23 18y36 19x26 19y39 20x24 20y37 21x6 21y21 22x1 22y27 23x4 23y26 24x2 25x3 25y22 26x5 26y25 27y23 28x13 29x7 30x11 31x8 32x9 33x12 34x10 35x20 35y7 36x14 36y13 37x18 37y12 38x15 39x16 39y8 40x19 40y11 41x17 41y9 42x34 43x28 44x32 45x30 46x33 47x31 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7937604 Graph #1: Original: 1x29 3y34 4x10 6x44 7y27 10y43 11x1 11x19 12y14 13y32 14y16 18x28 20y41 21x50 21y21 22x20 23x21 23y32 25y12 25x48 26y26 26y5 28y4 29x50 30x14 30y3 31y25 31x20 32x27 32y6 33x2 35x18 37x4 37x12 38x34 39y46 39y31 39x37 40x25 42y13 42x25 42y47 44y29 45x9 46x48 48x38 Reduced: 1x2 1y3 2x1 2y2 3x4 3y1 4y4 Euler number: -3 Graph #2: Original: 1x77 4x93 4x28 6x41 7y124 8x139 9y35 11y70 14x121 15y58 16y129 20y86 21y157 22y35 22x1 23y122 25y1 27x106 31y75 31x83 32x142 33y88 33x151 37y155 37x161 38x34 39x65 39y150 40y8 41x7 42y97 44y71 44y128 47y53 48y122 48y81 49y15 50y92 50x30 50y62 50x42 51y46 52y103 53y108 54y57 55x25 58x61 58y94 59y135 59x166 61y45 61y105 62y23 63x59 64y73 65x35 65x148 65x83 66y76 69y140 70y104 71y134 72y90 73y113 74x123 77x71 77x52 78x111 78y121 79x122 80y68 81y155 82y51 83x82 84x1 84x59 86x82 87y114 88y50 88x4 89x120 89x61 91x35 92x46 93y113 95y25 99y164 100x65 101y49 102y29 102y65 104y58 105y148 106x114 108y150 109x101 110y150 110y61 111y30 112x91 113x127 114x141 115x132 115x146 117x53 118x130 118x61 123y83 124y61 125x109 126y68 127x143 128y27 128y32 136x115 137y48 137y76 138y15 138y4 141x162 143x109 144y21 147y93 148y15 150x122 151x2 152y116 153y74 153x65 154x29 156x8 157y125 157x108 158y141 159y94 160x70 160x138 160y137 163y157 165y52 166x40 Reduced: 1x4 1y8 2x6 2y1 3x8 3y2 4x7 4y9 5x1 5y7 6y5 7x2 7y4 8x9 9x3 9y3 Euler number: -7 Resultant Graph: 1x13 1y25 2x15 2y19 3x17 3y20 4x16 4y26 5x10 5y24 6y23 7x11 7y22 8x18 9x12 9y21 10x4 10y17 11x6 11y10 12x8 12y11 13x7 13y18 14x1 14y16 15y14 16x2 16y13 17x9 18x3 18y12 19x30 19y8 20x32 20y1 21x34 21y2 22x33 22y9 23x27 23y7 24x28 24y4 25x35 26x29 26y3 27y34 28y27 29y28 30y35 31y33 32y31 33y30 35y29 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 7965922 Graph #1: Original: 4y5 6x112 8y14 9y62 12x78 13y10 18y82 19x122 20y33 22y56 22x70 24x82 25x81 27y126 27x124 28x70 30x107 30x37 30y14 31y134 31x109 31x85 32x46 35y116 35x23 40y48 40y78 41x86 42x115 42y50 44x36 44y79 45x94 45x49 45y9 45y46 48x51 49y103 50y75 50y3 50y102 51y54 52y61 52x44 53y49 53y89 56x21 58x44 60x127 61y84 62x21 64y54 65y64 66x33 68x40 69x92 69x128 70y1 70y78 73y87 74y101 74x79 75x24 76x19 76y4 77x11 77y10 79y106 80y60 80x118 82y38 83x23 84y75 85y23 86y74 87y14 87y91 88y132 88y37 88y116 88y29 89x8 89y122 90x71 90x106 94y55 94x37 96y86 96y69 100x63 102x94 102y91 102x71 103y60 105x96 108y83 112y134 114x129 114y16 115x40 116y14 117x8 118x104 119y72 120x80 120y54 122x101 123y34 123y101 125x58 127y107 130y88 133y62 134y23 135y22 Reduced: 2x6 2y4 3x7 3y7 4y3 5x9 5y9 6x1 6y10 7x8 7y6 8x4 8y2 9y1 10x10 10y8 Euler number: -6 Graph #2: Original: 3y76 4x16 5y115 10x105 10x69 10y121 11y13 12y41 12x4 13x123 13x61 13x41 15x105 16x3 18y61 19x20 21y27 21x4 22x20 23x13 24x95 24y63 26y38 30y83 30y81 33x115 34x72 35x9 37x48 39y95 39y81 39x29 39x95 40y78 41x124 42y110 50x42 51x106 52x59 53x51 53y85 55y27 56y22 56y23 60y82 62x89 64y75 65x56 65y29 67y6 67y33 69x92 69x70 70x33 70y15 71y32 72y80 72y46 72x99 73x60 73y37 74x4 75x2 75x9 76y61 77x37 78y110 82y17 85x76 86x34 87y10 88x66 88x79 92x16 93x90 94y22 96y68 96y122 100x11 100y9 100x53 100x111 101y77 105y118 107x35 108y104 108x115 108x119 109y120 109x92 110x36 110y79 113x73 118y59 121y40 121x26 122x71 123x103 123x42 Reduced: 1y3 2x3 2y2 3x5 3y5 4x1 4y1 5x2 5y4 Euler number: -4 Resultant Graph: 5y17 6x25 6y16 7x27 7y19 8x23 8y15 9x24 9y18 10y30 11x30 11y29 12x32 12y32 13x28 13y28 14x29 14y31 15y12 16y11 17y14 18y10 19y13 20x40 20y39 21x38 21y38 22x39 22y41 23y44 24x3 24y43 25x4 25y46 26x1 26y42 27x2 27y45 28y25 29x35 29y24 30x37 30y27 31x33 31y23 32x34 32y26 33y7 34x17 34y6 35x19 35y9 36x15 36y5 37x16 37y8 38y3 39y2 40y4 41y1 42y35 43x44 43y34 44x46 44y37 45x42 45y33 46x43 46y36 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7974728 Graph #1: Original: 1y53 2x46 4x40 4x23 6x43 7y41 8x41 8x25 9x26 10y36 11x11 12x19 13x38 15x15 15y48 16x56 19x48 21x49 21x42 22x10 24y18 24y35 25y34 25x56 25y56 28y54 28y44 29x2 32x5 32y11 34y14 34x25 38y21 38x28 39y37 39y37 39x48 40x12 41y23 42y27 43y11 44x16 47x23 50x55 50y20 50y49 51y45 54x1 54x28 54x1 54x4 55y54 56y32 Reduced: 1x1 1y2 2x2 3x3 3y5 4x5 4y1 5x4 5y4 Euler number: -4 Graph #2: Original: 1x58 3x126 5x37 5y72 5y78 7y94 8y36 9y54 9x41 10y123 10y136 12y56 12x72 13y4 13x99 14x51 14y123 16x91 17y104 17x27 18x87 20y26 20x57 20x95 21y82 22x93 23y55 23x127 26x81 29y113 30x56 31y92 34y19 35y53 36x44 37y90 38x128 38x56 38x92 39x13 40x73 40y57 40x6 40y136 45x34 46x82 48x15 49x46 51x138 51x16 51y85 53x28 59x105 60y20 60x31 61x37 61y29 61y43 63x79 65y85 66x102 66y32 70y90 70y8 71x30 72x13 72y117 72x40 72y61 74y15 79y38 81x117 84y68 85x69 86y113 86x15 87x104 87x38 88y35 89y47 92y53 92x85 93y98 95y30 96x4 96y112 99x1 99x124 100y123 101x14 104x3 106y68 106x40 107x114 107y31 108y126 110x94 116x17 116x8 116x90 117x77 120x40 126y28 127y25 129x83 130y125 134y23 137y58 138x101 140y22 Reduced: 1y2 2x3 3x7 3y4 4x6 4y1 5x8 5y3 6x5 6y7 7x1 7y6 8x4 8y8 Euler number: -6 Resultant Graph: 1y10 2x3 3x7 3y12 4x6 4y9 5x8 5y11 6x5 6y15 7x1 7y14 8x4 8y16 10x11 11x15 12x14 13x16 14x13 15x9 16x12 17y33 18x22 18y35 19x21 19y32 20x23 20y34 21x20 21y38 22x17 22y37 23x19 23y39 24y2 25x34 26x38 26y4 27x37 27y1 28x39 28y3 29x36 29y7 30x32 30y6 31x35 31y8 32y25 33x26 34x30 34y27 35x29 35y24 36x31 36y26 37x28 37y30 38x24 38y29 39x27 39y31 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 7979634 Graph #1: Original: 1x8 3x121 3x94 4y125 6y16 7x80 7y28 9x80 9y3 9y102 9x38 10y116 12y133 14x116 14y133 15x88 16x47 18y124 19x104 19x56 22y131 23y65 24x55 24x108 24x25 24y1 27x56 28x94 31x40 33x16 36y61 36x134 36x132 36y62 37y120 38y115 39y62 40y14 42y60 44y11 45x92 45y114 45x109 47y122 50y99 51y22 51x77 55x129 56x2 57y129 59y105 62y108 64x17 70y2 72x62 74x117 75y75 75y105 77x103 79y32 80x14 81y55 85y81 85x9 86x7 86y52 86x111 87x86 92y125 93x3 93x60 95y28 99y2 101x68 101y17 106x31 107y78 107y1 110y43 110y133 111x24 111x70 112x25 112y24 112x83 114x109 116y121 118x2 118y13 122x78 122y128 124x43 125y32 127y53 129y42 131x40 131y134 131y121 131x11 132y113 133x89 133x27 134x84 Reduced: 1y4 2x4 2y2 3x5 4x7 4y3 5x6 5y1 6x2 6y5 7x1 7y6 Euler number: -5 Graph #2: Original: 1y76 3x57 3y73 3x72 5x54 6x5 6x74 9y51 9x3 9x78 11y80 11x76 12x5 13y43 13x66 13y20 15x44 16y38 17x54 21y29 23x69 24x7 25x46 26y51 26y51 27x5 28x38 28x45 30y47 35y40 35x63 36x40 37y56 37x9 37y37 39y75 40x63 41y80 43x46 43x49 45x76 46x6 48x44 49x79 50y58 52y17 54x9 58x60 59y12 63y73 64x38 66x73 69y16 69x64 71x24 72x39 73x11 73y32 75x47 76x11 79x20 81x81 Reduced: 1x2 1y3 2x1 2y6 3x4 3y1 4x5 4y4 5x3 5y5 6y2 Euler number: -5 Resultant Graph: 1y20 2y23 3y18 4y21 5y22 6y19 7x19 7y9 8x18 8y12 9x21 9y7 10x22 10y10 11x20 11y11 12y8 13x25 14x24 15x27 16x28 17x26 18x37 18y15 19x36 20x39 20y13 21x40 21y16 22x38 22y17 23y14 24x31 24y3 25x30 25y6 26x33 26y1 27x34 27y4 28x32 28y5 29y2 30x8 30y26 31x7 31y29 32x10 32y24 33x11 33y27 34x9 34y28 35y25 36x2 36y32 37x1 37y35 38x4 38y30 39x5 39y33 40x3 40y34 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 7988783 Graph #1: Original: 1y12 3y24 4y78 4y53 5x25 5x27 6x89 7x51 10y82 12x14 13y5 13x86 14y53 14y85 16y51 17y72 17x53 18y44 19y37 19y54 20x58 22y73 23y2 24y2 25x38 26x71 27x4 28x46 29y64 29x57 30x75 31x25 31y84 32x73 32x57 33y65 34x50 34x78 35x58 36x35 37x83 37x6 38y50 39y39 40y12 41x24 43y22 46x30 47y62 47y19 48x89 48y83 48y20 49x62 52x51 52x45 53y73 54y42 55y59 58y33 59x46 60y61 62y2 66x64 69y29 70x45 73y55 73x67 75x12 76x68 77y53 79x33 80x74 80y48 81x6 82y27 83x33 83y13 84x44 85x30 85y38 86y76 86y15 88y5 88y26 Reduced: 1x5 1y1 2x1 3x2 3y4 4x3 4y3 5x4 5y5 Euler number: -4 Graph #2: Original: 1y26 3y25 4x62 7x153 8x34 12x118 12y38 13y31 15y82 15x32 16y122 17x70 17y33 18x26 19x124 21x98 22x25 23x137 24y143 24y68 25x135 28x142 29y101 31y57 33y106 35x13 36y85 40y114 40y120 40x121 42x138 43y34 44x47 45y90 46y56 47y132 48y113 48y128 48y86 49y126 50y125 50y49 51x119 51y58 52y141 52y18 55x86 57x138 61x10 62x89 63x71 63y39 65x15 65x149 66x77 67y144 68y51 70y115 71y96 71y138 72x88 72y58 72x86 73y105 77x12 77x10 78y114 80x37 82y75 85x33 86x78 87x76 88y130 89y35 90x140 90y111 90x47 91y43 93y36 93x136 96x100 97y113 99x66 100x116 100y110 101x120 101y38 101y125 102y42 103y144 103x141 104y137 106y146 107x1 109y119 112y95 112y86 112x147 113y75 114y52 120x21 121y50 121x13 122x69 122x6 123y5 123x11 125x53 127x54 127x81 128x16 129y13 129y19 130y118 130x133 132x87 133y14 133x18 134x62 135y94 137y25 138y64 139y38 140x103 142x126 143y132 144x1 145x72 146y1 147y15 147y37 147y96 151y70 152x57 152y24 Reduced: 1x4 1y3 2x3 2y5 3y2 4x8 4y8 5y9 6x2 6y7 7x1 8x6 8y1 9x10 9y10 10x9 10y4 Euler number: -7 Resultant Graph: 1x41 1y3 2x40 2y5 3y2 4x45 4y8 5y9 6x39 6y7 7x38 8x43 8y1 9x47 9y10 10x46 10y4 11x4 12x3 13x8 14x2 15x6 16x10 17x9 18x13 18y30 19y32 20y29 21x15 21y35 22y36 23x12 23y34 24x11 25x14 25y28 26x17 26y37 27x16 27y31 28x21 28y20 29x20 29y22 30y19 31x25 31y25 32y26 33x19 33y24 34x18 35x23 35y18 36x27 36y27 37x26 37y21 38x31 38y40 39x30 39y42 40y39 41x35 41y45 42y46 43x29 43y44 44x28 45x33 45y38 46x37 46y47 47x36 47y41 Euler number: -27 Ratio: 0.9642857142857143 --------------------------------------------- Iteration 7998773 Graph #1: Original: 3y134 4y56 5y91 6x123 7x45 7y6 8x112 9x34 11y39 13y95 13x3 14x7 14y128 14x119 16y51 17y62 18y80 19x108 20x136 20x115 21y3 22y13 26x59 26y39 30y89 31x148 33x26 33y84 34x142 34y98 34y75 35x47 37y97 38y126 38x147 41x69 44y118 47x104 47x145 48x47 50x148 50x99 54x87 54x77 55x106 56y20 56y103 58x128 58x138 58x1 60y135 60y81 61y29 63y74 63x118 64x78 68x102 69x29 70x132 72x62 73y108 74y100 74x23 74y72 75y48 77y118 78y19 79x145 80y111 83y96 83y112 85x54 87y3 87y125 87x74 88y46 88x68 89y115 91x36 91y55 93x81 94x19 97y119 98y96 99y15 101y136 104x131 111x96 112y45 112x72 112y24 113x88 114x16 115y132 118x56 118y138 118y134 120x141 121y13 123x36 125y57 127y83 127y68 129y19 131y68 131x9 132x90 132x114 132x97 135y148 136x139 139x96 145y22 148x56 148x41 Reduced: 1x4 1y1 2x1 2y4 3x7 3y6 4x5 4y3 5x2 5y2 6y7 7x3 7y5 Euler number: -6 Graph #2: Original: 2x54 3y49 4y103 5y39 6y7 8y81 9y74 11y39 11x44 12x112 12y59 13y19 13y87 16x55 17y135 17y93 21y69 25y91 26y141 30y3 31y117 33y101 33y138 35y25 41y11 41y129 44x17 45x62 47x6 47y138 49x15 49x9 51x102 52x120 52y119 52x116 54x30 56x49 57x27 57y114 57x14 58y9 58x68 59x2 60x30 60x10 61y120 61y107 61x126 61y2 63x91 64x20 64y85 65y131 66x53 69x49 70y133 70x128 70y105 71y104 72x27 72y20 73y81 74y17 74y126 76x95 77x56 78y75 79x20 80y112 82x99 83x142 84y17 85y118 85y136 86x119 89x123 90x143 90x73 90y79 91y25 93y142 96x77 97x112 98y123 100y12 100y124 102x12 104y35 105y56 105y53 105y121 106x86 106y137 108x7 109x140 111x71 112y71 114y108 117x60 120x74 121y40 123x120 123y126 123x23 124y38 128x127 131y69 131x24 131y58 132y73 133y20 134y82 136y46 136y101 138x57 140x139 140y101 140x99 142x112 143x62 Reduced: 1y8 2y10 3x5 3y1 4x11 4y3 5x3 5y11 6x9 6y12 7x10 7y4 8x13 9x8 9y13 10y2 11y9 12y7 13x2 13y5 Euler number: -7 Resultant Graph: 1y8 2y10 3x43 3y1 4x49 4y3 5x41 5y11 6x47 6y12 7x48 7y4 8x51 9x46 9y13 10y2 11y9 12y7 13x40 13y5 14y46 15y48 16x5 16y39 17x11 17y41 18x3 18y49 19x9 19y50 20x10 20y42 21x13 22x8 22y51 23y40 24y47 25y45 26x2 26y43 27y72 28x80 28y65 29x86 29y67 30x78 30y73 31x84 31y74 32x85 32y68 33x87 34x83 34y75 35y66 36y71 37y70 38x77 38y69 39y33 40y35 41x56 42x62 42y28 43x54 43y36 44x60 44y37 45x61 45y29 46x64 47x59 47y38 48y27 49y34 50y32 51x53 51y30 52y21 53y23 54x18 54y14 55x24 55y16 56x16 56y24 57x22 57y25 58x23 58y17 59x26 60x21 60y26 61y15 62y22 63y20 64x15 64y18 65y83 66y85 67y76 68y78 69y86 70y79 71y87 72y77 73y84 74y82 75y80 76y59 77y61 78x30 78y52 79x36 79y54 80x28 80y62 81x34 81y63 82x35 82y55 83x38 84x33 84y64 85y53 86y60 87x27 87y56 Euler number: -41 Ratio: 0.9761904761904762 --------------------------------------------- Iteration 8005189 Graph #1: Original: 1x85 3y34 9x110 10x28 11x132 12x65 14x19 15y10 15y6 16y19 16x126 17y42 18y140 21x139 23y68 25x105 27x117 27x108 31x141 31y19 33x55 33x32 34y121 35x112 35y35 36y115 36y21 37y61 40x107 41x137 41y30 42y21 44y93 46y96 46y109 47y131 47y43 47y102 48x64 50y79 51x80 51x126 52y101 52y15 53y128 54x15 54x129 55x67 56y45 57y5 57y103 59x72 60y93 60x75 61y112 63x71 65y84 65y135 66y44 66x79 66x126 66y137 70y3 70x81 71x134 72x100 72x48 73x26 75y16 76y50 77x97 78y99 82x72 85x126 85x38 87x67 88y96 90x31 91x102 92x23 94x105 94x31 98x10 98x16 99y56 100x120 100x135 100y70 102x93 104y2 106x25 107y65 107x20 109x5 109x128 111y72 111y15 113y140 114y59 116x109 117x142 117y99 121x66 121y137 122x3 125y116 126y130 126y22 127x116 130x102 131x128 132y33 132x135 133y123 134x99 134x65 135x92 136x65 136y88 136y133 137x4 138y84 138y29 141x86 141x49 141y18 142x76 Reduced: 1x10 1y4 2x7 4x4 4y6 5x2 5y9 6x1 6y10 7y1 8x9 8y7 9y3 10x3 10y8 Euler number: -5 Graph #2: Original: 1y29 1x3 3y18 3y19 3x3 4y11 5x8 5x15 5y5 5y35 6x18 7x28 9y45 9x30 11x26 11x33 12x33 14y48 14y34 15y23 16x9 16y8 18y6 19y48 20x1 20y24 21y7 22x36 22x36 22x3 23y39 26x39 27x20 29y28 34y2 34x41 35x12 36y43 38x25 39x35 41x40 41y44 45x36 45x20 48x4 Reduced: 1x3 1y2 2y5 3x5 3y1 4x1 4y4 5x4 5y6 6x6 6y3 Euler number: -5 Resultant Graph: 1x54 1y18 2y21 3x56 3y17 4x52 4y20 5x55 5y22 6x57 6y19 7x36 8x38 9x34 10x37 11x39 17x19 17y29 18y32 19x21 19y28 20x17 20y31 21x20 21y33 22x22 22y30 23x8 23y47 24x10 24y46 25x7 25y49 26x9 26y51 27x11 27y48 28x3 28y53 29y56 30x5 30y52 31x1 31y55 32x4 32y57 33x6 33y54 34y2 35y5 36y1 37y4 38y6 39y3 40x48 40y35 41y38 42x50 42y34 43x46 43y37 44x49 44y39 45x51 45y36 47y15 48y12 49y14 50y16 51y13 52x13 52y41 53y44 54x15 54y40 55x12 55y43 56x14 56y45 57x16 57y42 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 8051073 Graph #1: Original: 4x54 4y27 8y45 8y45 9x17 11y4 11x25 11x45 12y49 12x26 13x21 14y24 15x55 15y50 15y21 17y14 17x43 18y36 18x3 19x32 19x40 20x28 21y35 22y36 25y14 27x27 27x23 28x40 31y38 31y28 32y6 33y8 33y27 34x31 35y5 37x16 37y14 39y46 42x19 42y29 45y3 48y41 49x20 50x8 51y23 52y7 54x5 55x33 Reduced: 1x1 1y3 2x2 2y1 3x4 3y2 4x3 Euler number: -3 Graph #2: Original: 1y24 2y12 3y55 4y79 4y117 5x119 5x49 5x10 5y107 7x48 8y103 10y50 11x28 12x85 13x69 13y90 15y74 15x39 15y106 16x62 16y114 17y134 17y127 18y32 18x63 19y82 20y44 23y47 23y17 24y47 25x135 26x49 27y35 27y107 28x128 29x45 32x131 33x88 36x84 38x24 39y94 40y82 44y99 44y13 48y100 51y66 52y39 52y115 52y40 54y57 54x110 55y116 56x5 56y54 57x42 60y31 61y99 62y2 63y68 64y117 64x29 64x105 65y41 65y63 65y74 65x76 70x97 71x63 71x23 72x111 74x66 76x135 76y87 77y103 77x6 78x119 80x117 82y83 82y81 82y36 85y63 88y91 88y32 89y106 90x31 90x94 92x16 93y75 95y54 96y102 96x55 97y55 98y63 100x26 101y104 102y72 102y39 104x71 105y74 106y127 108y94 110x114 113y2 114x36 115x8 116x77 117y135 119x15 120y125 121x85 123y117 123y56 124x48 126x11 126y19 127x73 128x70 128x11 129y14 130y132 131x99 132y77 133x81 135y123 Reduced: 1x4 2x3 2y13 3x9 3y6 4x11 4y11 6x10 6y12 7x8 7y7 8x6 8y9 9x12 9y5 10x13 11x1 11y8 12x7 12y3 13x5 Euler number: -8 Resultant Graph: 1x4 2x3 2y39 3x9 3y32 4x11 4y37 6x10 6y38 7x8 7y33 8x6 8y35 9x12 9y31 10x13 11x1 11y34 12x7 12y29 13x5 14x17 15x16 15y13 16x22 16y6 17x24 17y11 19x23 19y12 20x21 20y7 21x19 21y9 22x25 22y5 23x26 24x14 24y8 25x20 25y3 26x18 27x42 28x41 28y26 29x46 29y19 30x48 30y24 32x47 32y25 33x45 33y20 34x43 34y22 35x49 35y18 36x50 37x40 37y21 38x44 38y16 40x30 41x35 42x37 43x36 44x34 45x32 46x38 47x39 48x27 49x33 50x31 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8057555 Graph #1: Original: 1y6 3x56 6y93 9y79 9x101 9y53 10x69 11x39 11y113 15y110 16x103 17y116 18x79 19y43 20y32 20y37 22x36 23x1 23x69 23x89 23y47 24y68 26y82 26x93 26x52 27x40 29y5 29x7 32y50 35y42 36y76 36y35 37y116 38x56 38y29 38y4 40y79 40y70 40x72 41y91 41x104 42x67 42y45 46y80 47y88 47x28 51y116 51x18 52x41 52y34 53x96 54x45 55x121 56x97 57y115 58y110 59x66 62x8 63x50 64x103 65x80 66x89 67y94 68y16 75x104 75y8 76x46 76x71 76x58 77x13 80y24 82y42 82x59 83y19 84y27 86y46 89y74 89y86 92y112 93y18 93x60 93x103 94y12 95y19 95y105 98x118 98x112 99x93 99y42 100x25 100x61 101x50 104y70 105x11 108x73 108x12 109y76 110y107 111x7 112y120 113x30 113x110 116x103 117y108 118x47 120x104 121x115 121y66 122y22 126y42 Reduced: 1x8 1y2 2x7 2y5 3x1 3y4 5x3 5y7 6x4 6y3 7x2 7y1 8x5 8y8 Euler number: -6 Graph #2: Original: 1y31 2y16 2y1 3y25 4x4 4y15 5y32 5x5 6x18 7x26 7y2 8x33 8y35 10y8 13y35 16y3 16x23 17x32 18x7 19x9 20x36 21x35 21y28 22x26 24y33 25x30 25y23 27y38 27x37 28y19 29x13 30x35 32y40 33x26 35x14 35x25 38x22 38y8 39x7 40y15 41y7 41y28 Reduced: 1x2 1y4 2y1 3x4 3y2 4x5 4y3 5x3 5y5 Euler number: -4 Resultant Graph: 1x35 1y9 2y6 3x37 3y7 4x38 4y8 5x36 5y10 6x30 6y23 7y20 8x32 8y21 9x33 9y22 10x31 10y24 11x2 11y18 13x4 13y16 14x5 14y17 15x3 15y19 20x12 20y32 21y29 22x14 22y30 23x15 23y31 24x13 24y33 25x16 25y14 26x18 26y12 27x19 27y13 28x17 28y15 29x7 29y4 30y1 31x9 31y2 32x10 32y3 33x8 33y5 34x21 34y37 35y34 36x23 36y35 37x24 37y36 38x22 38y38 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8082146 Graph #1: Original: 1y10 2x39 2y69 3y5 3x92 5x15 9x69 9x28 10y69 15y37 18y47 19x56 19x19 20y24 23x103 26x44 27x86 28x21 29x45 31x38 33y111 33x106 35x17 37x17 38x25 39y48 40x15 41x70 41x113 42x4 43y37 44y27 44y21 45x61 45y6 47x85 49y26 49y2 50y72 50x96 52y94 53y102 55x23 55x108 58x11 60x28 60x63 61x40 61x77 64x2 64x28 67y97 68x84 68y41 69x58 70x35 72x69 73x74 74x64 75y108 75y102 76y107 76y51 77x37 78x57 78x8 79x61 82y55 82y5 83y108 83y89 84y109 86x60 91x2 92y105 94x8 97x102 98x114 99y12 100x43 101y90 104y112 106y8 106x27 107y70 108x6 109y82 110y38 111y72 112x16 113x29 113y91 Reduced: 1x5 1y1 2x8 3x4 3y3 4x6 4y2 5x2 5y5 6x7 6y8 7x3 7y7 8x1 8y6 Euler number: -7 Graph #2: Original: 2y26 3y21 4x6 6y2 6x4 7x15 7y22 8y4 8y25 10x21 12y24 12y20 13x16 14x31 15y6 16x15 16y7 18x30 19y5 20y10 20x5 21x33 21x19 21y3 22x23 24x22 26x9 28y17 29x28 30x9 31y9 32x9 Reduced: 2x7 2y1 3x4 3y4 4x5 4y3 5x6 5y5 6y2 7x2 Euler number: -3 Resultant Graph: 1x29 2x26 2y3 3x27 3y2 4x28 4y4 5y1 6x24 7x47 8x44 9x45 10x46 11x42 12x23 13x20 13y14 14x21 14y13 15x22 15y15 16y12 17x18 18x35 19x32 19y9 20x33 20y8 21x34 21y10 22y7 23x30 24x11 25x9 25y26 26x10 26y25 27y27 28y24 29x7 30x41 31x38 31y44 32x39 32y43 33x40 33y45 34y42 35x36 36x17 37x14 37y38 38x15 38y37 39x16 39y39 40y36 41x12 42x6 43x3 43y32 44x4 44y31 45x5 45y33 46y30 47x1 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 8093153 Graph #1: Original: 2y10 2y29 5x68 5x44 7x81 8y113 9y41 11x110 12x24 14y79 16x37 17x87 19y34 22x13 22y29 22x72 22y105 23x97 24y79 29y64 31y22 32y21 32x105 33x54 34x80 35x77 35x76 36x66 38y11 39y36 40y58 40y76 40x2 41y78 42y110 46y80 46y3 47x76 49y84 49x56 50x28 51x117 51y9 52x23 52x59 52x79 55x75 56x24 58y106 60y87 64x55 67x52 68x98 69y6 71x113 71y18 73x37 74x52 78y16 79y16 79y106 82y77 84x115 85x55 86x34 87x109 88y93 88x93 89y33 89y89 91y95 92y102 92y20 93y102 96x102 98y49 98y60 99x3 99y12 101x16 102y25 102x83 104x94 105x107 105y29 106y72 106x117 107y97 107x36 107x109 109y25 109x18 110y119 111x119 114y43 115x30 117x40 118x111 Reduced: 1x4 1y1 2y8 3x7 3y4 4x8 4y6 5x2 5y2 6x1 6y7 7x6 7y3 Euler number: -5 Graph #2: Original: 2x8 6y2 7x39 7x35 8y31 8y12 8y43 8y43 9x37 12y23 13x30 13y41 14x5 14x4 15x33 15x20 16x43 17x42 18x4 19y6 19x16 20y34 22x10 22x36 23y4 27y3 28x19 28x4 29x42 30x9 30x36 32x43 36y41 37y10 37x8 40y9 41x4 41y32 42x14 43x17 Reduced: 1y4 2x4 2y6 3x5 3y1 4x2 4y2 5x6 5y3 6x3 6y5 Euler number: -5 Resultant Graph: 1y4 2x22 2y6 3x23 3y1 4x20 4y2 5x24 5y3 6x21 6y5 7y44 8y46 10y42 11y43 12y45 13y22 14x39 14y24 15x40 15y19 16x37 16y20 17x41 17y21 18x38 18y23 19y33 20x44 20y35 21x45 21y30 22x42 22y31 23x46 23y32 24x43 24y34 25x10 25y12 26x11 26y7 27x8 27y8 28x12 28y9 29x9 29y11 30y39 31x4 31y41 32x5 32y36 33x2 33y37 34x6 34y38 35x3 35y40 36y16 37x33 37y18 38x34 38y13 39x31 39y14 40x35 40y15 41x32 41y17 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 8102154 Graph #1: Original: 2x35 3y8 5y114 5y42 6x77 7x119 11y21 11x84 13x15 13x55 14x98 16x16 17x9 17x52 20y17 20y70 21y4 22x16 23x100 23y16 27y16 28y28 31x14 33y17 34y76 35y121 35y63 39x58 42x86 43x7 47x47 48y76 48y28 51x94 51x13 52y38 53x91 53y22 60x115 60x94 61x52 61y66 63x123 64x104 65y103 65x101 66x101 68x48 69x94 69x86 70x32 70x104 72y14 72y79 73y59 75x8 78y107 80x3 82x94 86x111 88x36 89x29 89x18 89x120 89y9 89y110 90x75 91y112 94x118 94x116 94x42 97y103 97x116 98y121 98x88 99y96 99x1 99y49 102y17 102y59 102x122 105x47 107y61 107x7 108y75 110y43 111x35 111x65 112y103 114y81 114x30 115y87 119y56 121y62 122x14 123y112 123y4 Reduced: 1x5 1y2 2x4 2y5 3x3 4y1 5x1 5y6 6x2 6y3 Euler number: -4 Graph #2: Original: 2x50 4y12 5x27 9y45 9x23 9y49 11y33 13y61 13x26 16x6 19x70 22x27 23x9 23x23 24y2 24x63 24y22 25x69 26x60 27x71 28y65 30y45 31y70 31x15 32x39 32x50 33x5 33y27 37x63 37x49 38x5 39x44 39y44 40y7 42x58 43y36 44x70 45y9 46x17 46x35 46y1 47x10 48x51 51x78 53x17 53x24 56y33 56x39 56y59 59y72 60y13 63x79 63x77 63y23 64y81 65y61 66x24 67x24 68x10 68y71 72x28 73y64 74y79 77y79 78y5 80y23 Reduced: 1x1 1y7 2x3 2y4 3x6 3y6 4x2 4y3 5y5 6x7 6y2 7x5 7y1 Euler number: -6 Resultant Graph: 1x28 1y14 2x30 2y11 3x33 3y13 4x29 4y10 5y12 6x34 6y9 7x32 7y8 8x22 8y34 9x24 9y31 10x26 10y33 11x23 11y30 12y32 13x27 13y29 14x25 14y28 15x15 16x17 17x20 18x16 20x21 21x19 22y7 23y4 24y6 25y5 26y2 27y1 28x1 28y41 29x3 29y38 30x6 30y40 31x2 31y37 32y39 33x7 33y36 34x5 34y35 35x8 35y21 36x10 36y18 37x13 37y20 38x9 38y17 39y19 40x14 40y16 41x12 41y15 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8105199 Graph #1: Original: 1x13 2y6 2y20 3x7 4x17 4y7 5y13 6y9 7y7 8x18 8x16 8x2 9x3 11x6 12x6 12y5 13y5 13y16 17y20 19y12 19x14 Reduced: 1x3 1y1 2x1 3x2 3y4 4x4 4y3 Euler number: -3 Graph #2: Original: 1y28 2x2 2x36 4y64 4y75 5y43 5x35 6y56 6y84 7y82 9x12 10x26 10x33 11y51 12x74 13x46 14y51 15y50 16y28 17y67 19x7 19y43 21y7 21x52 22x47 23x61 24x31 25x83 25x66 27x75 28x31 28x67 29y26 29y35 30x64 30x78 31x64 33x22 35y55 36y20 37x7 37x76 38y78 39x76 39y47 41x13 41x77 42y12 42x57 43y53 44x11 46x40 46y41 47y34 47x37 49x44 50y36 50x4 52x50 53x78 53y26 53y3 54y1 56y13 59y10 60y71 61x27 63y15 69x32 70y7 71x69 74x64 76x60 77y56 77x23 78y46 80y72 81y52 83x15 84x79 Reduced: 1x10 2x3 2y6 3x11 4x4 5x1 5y8 6x12 7y3 8x5 8y11 9x14 9y4 10x8 11x13 11y1 12x2 12y15 13x9 13y2 14y13 15y12 Euler number: -7 Resultant Graph: 1x34 2x28 2y6 3x35 4x29 5x26 5y7 6x36 7x30 7y10 8x38 8y4 9x32 10x37 10y1 11x27 11y14 12x33 12y2 13y12 14y11 15x9 16x3 17x10 18x4 19x1 20x5 21x13 22x7 23x12 24x2 25x8 26x22 27x17 27y45 28x23 29x18 30x15 30y46 31x24 32x19 32y49 33y43 34x20 35x25 35y40 36x16 36y53 37x21 37y41 38y51 39y50 40x48 41x42 41y31 42x49 43x43 44x40 44y32 45x50 46x44 46y35 47x52 47y29 48x46 49x51 49y26 50x41 50y39 51x47 51y27 52y37 53y36 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 8117148 Graph #1: Original: 1y95 1y83 2y109 3y64 4y61 4y84 6y115 8y30 8x72 10y96 12y62 13y100 13y116 13y20 14x76 14y22 18x1 20x1 24y7 26y12 26y13 27y113 29y34 30x3 31y3 31x13 32y18 34y84 36x31 37x44 38x47 39x22 41y69 41x40 41y21 42x102 42y18 46x11 46y26 47x31 49x45 49y90 53x122 54y102 55y97 56y25 57x44 58x18 58y91 59y35 59x49 60y103 67y118 68y30 68x113 69y93 70x84 71y40 74x101 75y113 77x97 77y68 80y79 81x93 81y8 83x2 83x121 84x116 84x67 85x14 85x64 87x17 93y64 95y32 98x84 99x110 100y37 102x7 103y68 103x41 104y70 110x102 112y121 113x47 115y71 116x84 117y30 120y22 121x39 121y119 121y81 Reduced: 1x8 1y8 2x7 2y7 3x5 3y4 4x2 4y6 5x3 6y5 7x1 7y2 8x6 8y1 Euler number: -6 Graph #2: Original: 1x42 2x71 2y48 2y64 3x7 3y6 6x72 6x48 6x31 8x62 8x23 15x54 18x42 19x30 19x39 20y24 22y75 24x24 28y61 29y13 30x78 31y17 31y75 31y48 32y47 33x88 34x12 37y34 40y49 41x76 42y88 42x60 42x59 43y16 44y15 47y40 47x81 48y26 49x67 49x25 49x34 50y21 51x72 53x21 53x38 54x7 57y25 58x78 58y37 59y60 60x10 62y22 64x18 65y17 66y27 66x81 66y73 66y13 71y47 72y63 73y28 74y88 78y81 78y24 79x14 82y37 82x32 82x61 83y82 84x44 84x76 84x60 85x34 86x70 88y88 Reduced: 1y6 2x2 2y1 3x7 3y2 4x1 4y4 5x3 5y5 6x5 6y3 7x4 7y7 Euler number: -6 Resultant Graph: 1y55 2x51 2y50 3x56 3y51 4x50 4y53 5x52 5y54 6x54 6y52 7x53 7y56 8y48 9x44 9y43 10x49 10y44 11x43 11y46 12x45 12y47 13x47 13y45 14x46 14y49 15y27 16x30 16y22 17x35 17y23 18x29 18y25 19x31 19y26 20x33 20y24 21x32 21y28 22y41 23x9 23y36 24x14 24y37 25x8 25y39 26x10 26y40 27x12 27y38 28x11 28y42 30x16 31x21 32x15 33x17 34x19 35x18 36y34 37y29 38y30 39y32 40y33 41y31 42y35 43y13 44x2 44y8 45x7 45y9 46x1 46y11 47x3 47y12 48x5 48y10 49x4 49y14 50y6 51x37 51y1 52x42 52y2 53x36 53y4 54x38 54y5 55x40 55y3 56x39 56y7 Euler number: -35 Ratio: 0.9722222222222222 --------------------------------------------- Iteration 8124944 Graph #1: Original: 2y66 3x64 3x43 4y34 5y7 6y66 7x60 8x5 11y35 12x57 14x61 15x16 17y54 17x4 17x49 19y46 19y32 19y30 20y10 20x70 20y9 20y55 21x43 24y58 25x15 25x57 25y57 26x3 27y36 28y75 29x44 30y35 30y33 30y30 31y43 34y8 35y38 35x2 36y12 37x25 39x62 41y9 42y20 43x33 43x42 44x60 44x34 46x71 47x24 48x8 49x50 49x17 49y59 51x20 51x56 56x62 58y12 60y61 63x36 63y60 65x6 66y27 66x36 68x51 68y73 69y46 70x56 71y45 72x39 75y53 76x63 77y52 Reduced: 1x4 1y4 2x2 2y7 3x7 3y2 5x6 5y5 6x5 6y3 7x3 7y1 Euler number: -5 Graph #2: Original: 2y57 5x26 5y28 6x53 7y52 7y17 7x21 9x39 9y29 12y45 13y4 14y42 14y30 16x63 16x13 16x45 17y4 18x23 18y54 19x19 20x42 21y8 23x61 23y3 24x54 25x29 26y51 29y53 29x19 30y29 30y58 31y5 32x4 33x4 34y31 35y58 35x41 35x63 36y59 38y50 40x34 43y7 43y22 46x24 46x61 47y3 48y12 49y48 50x7 51y21 51y53 52x38 52x46 53y36 55y15 55x55 56y51 57y42 57x42 62x36 62x38 62x7 63x23 Reduced: 1y8 2x3 2y6 3x4 3y2 4x6 4y3 5x5 5y4 7x2 7y5 8x7 8y7 Euler number: -5 Resultant Graph: 1x21 1y24 2x22 2y20 3x24 3y21 4x23 4y22 5x20 5y23 6x7 6y42 7x8 7y38 8x10 8y39 9x9 9y40 11x6 11y41 12x11 12y43 13x39 13y10 14x40 14y6 15x42 15y7 16x41 16y8 18x38 18y9 19x43 19y11 25x33 25y29 26x34 26y25 27y26 28x35 28y27 30x32 30y28 31x36 31y30 32x26 32y17 33x27 33y13 34x29 34y14 35x28 35y15 36x25 36y16 37x30 37y18 38x14 39x15 39y1 40x17 40y2 41x16 41y3 43x13 43y4 44x18 44y5 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 8130772 Graph #1: Original: 1x11 4x53 5x13 7x47 8x50 8x47 10y56 12x2 13y15 15y39 16y14 18x54 18y29 21x22 21y13 22x25 23x35 24y41 24y47 24x1 25y48 29y53 29y58 30x44 31y11 31x41 31x14 32y27 34y59 35y39 36y50 37y40 37y16 39x61 39y14 40y56 40x9 41x28 43y6 43x57 43x60 44x39 44y46 45y9 46y44 50x31 50y52 52y7 54y8 58x61 58x38 59y15 60x1 61x13 62y58 62x15 63x50 Reduced: 1x5 2y4 3x9 3y6 4x7 4y2 5x6 5y8 6y9 7x1 7y3 8x8 8y7 9x3 9y5 Euler number: -6 Graph #2: Original: 1y15 7y26 8x13 9y46 9x56 9x60 10y9 11x54 13y11 14x53 14y3 17y44 19y30 21y30 22x15 26y47 27y14 27x58 28y37 28x48 29y47 30x58 31x40 35x55 35x17 37x42 37x45 37x28 39y56 40y7 41x39 43y22 45y27 45y46 46x2 46x47 47y11 48x3 49x9 50y48 50y35 50x5 50y43 51y37 52y28 54x6 55y41 58y53 60x5 Reduced: 1y4 2x3 2y1 3x4 3y2 4x5 4y3 5x1 5y5 Euler number: -4 Resultant Graph: 1x22 2x23 3x19 4y17 5y14 6y15 7y16 8y18 9y27 10x41 10y24 11x42 11y25 12x43 12y26 13x39 13y28 14y7 15x31 15y4 16x32 16y5 17x33 17y6 18x29 18y8 19y37 20x26 20y34 21x27 21y35 22x28 22y36 23x24 23y38 24y42 25y39 26y40 27y41 28y43 29y12 30x1 30y9 31x2 31y10 32x3 32y11 33y13 34y32 35x36 35y29 36x37 36y30 37x38 37y31 38x34 38y33 39y22 40x11 40y19 41x12 41y20 42x13 42y21 43x9 43y23 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8167909 Graph #1: Original: 1y9 2y42 2y41 4y32 9x25 12y35 12x15 14x35 15x48 15x21 15y30 19y12 20x57 20x35 21x44 22x20 22y2 22y47 23y2 23x25 24y44 26x12 27x47 27x41 29y22 29x53 31y44 31y37 32x3 32x29 34x25 36y8 36y20 41x33 42x14 43y12 43x23 45x46 47x38 48x26 50x50 51x40 52x39 53y57 53y17 54x31 56y11 57y46 Reduced: 1x4 2x3 2y2 3x1 3y1 4x2 4y3 Euler number: -3 Graph #2: Original: 3y5 3x29 9y45 9y39 9x31 11y29 11x82 12x4 16x37 16x76 16x79 16x1 17y28 17x104 19y44 19y50 20x106 21y68 26y58 27x76 30y44 33x69 33y117 33y58 34x47 35y46 35x71 35y37 37x4 38y4 38x120 39x5 42y57 43x30 45y23 47y46 48y8 48y40 50x103 51x87 54y111 54x61 56y93 57x99 58y106 64y15 65x61 67x42 68x47 69y25 69y108 70x43 71x58 73x27 73y34 74y54 74y49 74x7 75y63 75y105 75x29 77x65 78x94 80x96 82x101 82y63 84x3 86y8 86x122 87y20 88x72 88y53 89y19 90y60 91y77 92y39 93x28 94x36 94x9 94y7 95x121 96y33 96x16 98y61 98x74 98x43 99y43 100x49 101x118 101x42 102x103 103y7 106x87 108x107 109y48 109x104 110x76 110x12 112x48 112y80 116x46 116x79 118y107 119y86 120x118 122x52 122y45 122x18 123y1 Reduced: 1x3 1y7 2x12 2y8 3x10 3y10 4x11 5x13 5y3 6y1 7x9 8x6 9x8 10x5 10y4 11x7 11y5 12x2 12y12 13x1 13y9 Euler number: -8 Resultant Graph: 1x41 2x49 3x47 4x48 5x50 6x46 7x43 8x45 9x42 10x44 11x40 12x39 13x28 13y19 14x37 14y20 15x35 15y22 16x36 17x38 17y15 18y13 19x34 20x31 21x33 22x30 22y16 23x32 23y17 24x27 24y24 25x26 25y21 26x3 26y6 27x11 27y7 28x9 28y9 29x10 30x12 30y3 31y1 32x8 34x7 35x5 35y4 36x6 36y5 37x2 37y11 38x1 38y8 39x15 39y32 40x24 40y33 41x22 41y35 42x25 42y28 43y26 44x21 45x18 46x20 47x17 47y29 48x19 48y30 49x14 49y37 50x13 50y34 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8171423 Graph #1: Original: 3x17 3x21 5y18 5y12 6x15 6x2 7y20 7x19 7y20 7x10 8x40 10x39 10x27 13y17 15y8 15y38 16y21 17x10 17y33 18x11 21x2 22y12 24x40 24y16 27y27 27x36 28y37 29y32 29x3 29y4 30x15 31x10 33y8 35y26 36y21 37y13 38x21 Reduced: 1x4 1y5 2x5 2y2 3x2 3y1 4x3 4y3 5y4 Euler number: -4 Graph #2: Original: 1x30 1x26 2x33 3y45 6x3 7x16 8x42 9y60 11y34 11x6 13x46 15x10 15x54 16y50 16y55 16y32 17x1 17y36 18y63 19y48 19x45 20y58 21y20 23x37 23y15 24x56 24y14 26x60 27y17 29y48 31x18 32x38 32y44 33x19 33x56 37y10 38y26 38x20 39x43 39x31 39x4 40y4 41x59 41x46 41x9 42x20 44y14 46x15 46y22 47y57 47y27 48y27 48y36 49x60 50x18 50y24 51y29 54x55 57x51 58y60 59y21 61y34 63y15 Reduced: 1x8 2x3 2y6 3x5 3y8 4x7 4y7 5x2 5y2 6x4 6y5 7x1 7y4 8x6 8y3 Euler number: -7 Resultant Graph: 1x26 1y36 2x28 2y38 3x30 3y37 4x25 4y32 5x27 5y35 6x24 6y34 7x29 7y33 8x38 9x33 9y13 10x35 10y15 11x37 11y14 12x32 12y9 13x34 13y12 14y11 15x36 15y10 16x15 17x10 17y5 18x12 18y7 19x14 19y6 20x9 20y1 21x11 21y4 22x8 22y3 23x13 23y2 24x23 25x18 25y21 26x20 26y23 27x22 27y22 28x17 28y17 29x19 29y20 30x16 30y19 31x21 31y18 32y29 33y31 34y30 35y25 36y28 37y27 38y26 Euler number: -27 Ratio: 0.9642857142857143 --------------------------------------------- Iteration 8179297 Graph #1: Original: 1x6 2y26 3y18 4x53 5y46 6x10 6y8 8x9 12y2 12x20 12x34 12x31 13x35 14x16 14y39 14x13 15x19 16x43 17y39 22y11 23x17 24y8 25y22 27x13 28x38 28x23 30x32 31y51 31y10 33x47 34x8 36y20 40y33 41y48 43x20 44x14 44y25 45x43 45y22 46x26 46y9 47y6 47y38 48x13 49y33 50y51 51y29 51y7 54x37 56y52 Reduced: 1x3 1y1 3x4 3y2 4x1 4y3 5x2 5y4 Euler number: -3 Graph #2: Original: 1x50 4x55 4x11 5y21 7y110 8x20 9x111 9y124 10x96 10x103 11y128 14x26 17x113 18y1 18x26 18x4 19x110 22x54 23y111 25x129 25y39 26x76 26x34 27x27 27x32 28x48 28y126 28y102 31y84 31x35 35y2 36y130 36x64 38x62 39x103 40x19 42y121 42y67 43y106 44x79 45x131 47x47 48x89 50x38 51x30 52y126 53x13 54y35 57x101 60x15 62y27 63x75 63x46 67y101 69y12 71y15 72x72 75x106 75x41 77y11 77y71 78y72 78x65 79y133 80x81 80x64 81y130 82x5 83y78 84x100 84x47 87y4 87x121 88x68 88x46 90y53 91y3 93x13 93y5 96y93 97x65 97x130 99y61 100y23 101x95 101x95 102y47 102y134 102x32 103y108 105y5 106y53 107y3 107x3 108x46 109y26 109x56 110y97 110x56 111x28 113y12 114x42 118x55 119y106 119y109 121y48 124x32 124x66 125x94 127x37 127y33 135x115 Reduced: 1x2 2x1 2y5 3x8 3y1 4x4 4y9 5x5 5y10 6x6 7x3 7y8 8x9 8y6 9x7 10x10 10y3 Euler number: -7 Resultant Graph: 1x18 2x17 2y5 3x24 3y1 4x20 4y9 5x21 5y10 6x22 7x19 7y8 8x25 8y6 9x23 10x26 10y3 17x28 18x27 18y13 19x34 19y11 20x30 20y15 21x31 21y16 22x32 23x29 23y14 24x35 25x33 26x36 26y12 27x2 28x1 28y21 29x8 29y17 30x4 30y25 31x5 31y26 32x6 33x3 33y24 34x9 34y22 35x7 36x10 36y19 37x11 37y31 38x14 38y27 39x13 39y36 40x12 40y34 41x15 41y32 42x16 42y29 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 8201538 Graph #1: Original: 1x22 1x39 1x19 2y81 2x26 4y38 9x62 11x80 13y28 14y44 17x33 20x79 21y51 22y43 25x11 25x66 26y60 26x51 28y71 28y24 29x1 29x5 30x8 34x37 34y35 34y49 35y57 36y18 37x18 37x4 39y9 39y4 40x61 41y63 43x70 43y52 43x27 44y62 44x15 44x75 46y14 46y77 48y13 50x30 51x44 51x28 52x38 55y79 56y22 57x64 58y18 58x4 62y8 62y37 63x17 65y46 65x27 69y35 70x29 72x59 72x73 74x11 74x68 76x39 76y35 76x72 78x17 80x35 80y57 81y37 Reduced: 1x3 1y11 2y1 3x6 4x10 5x5 5y2 6x1 7x8 7y8 8x11 8y5 9x9 10x7 10y9 11x4 11y7 Euler number: -6 Graph #2: Original: 2x9 2y39 5y8 5y39 10x5 10x59 11y57 11y50 14x35 15x40 16y7 17x52 17x30 17x36 17x14 18x14 18x47 19y45 21x50 22y50 22x45 23x46 23y20 24x64 25x6 26x19 29y46 30x2 30y45 31x42 31x61 31y7 31x37 31x64 32x61 34x17 34x41 34y28 38y20 39x13 40x58 41y48 41y19 42x27 44x3 45x55 46x46 49x47 50y52 51y5 51x62 51x29 52x49 53x29 55x60 57y9 59x64 59x1 60y57 63x33 67x1 68y22 Reduced: 1x6 1y2 2x4 2y3 3x3 4x5 5x2 5y6 6x1 6y1 Euler number: -4 Resultant Graph: 1x13 1y56 2x12 2y57 3x11 4x10 4y60 5x9 5y55 6y2 7y3 8y1 9x30 10x28 11x27 12x29 13x26 14x54 15x52 16x51 17x53 18x50 19x49 20x25 20y7 21x23 22x22 23x24 24x21 24y8 25x20 25y6 26x5 27x3 28x4 29x2 30x1 31x42 31y38 32x40 32y39 33x39 34x41 35x38 35y42 36x37 36y37 37x60 37y21 38x58 38y22 39x57 40x59 41x56 41y25 42x55 42y20 43x48 44x46 45x45 46x47 47x44 48x43 49x36 49y44 50x34 50y45 51x33 52x35 53x32 53y48 54x31 54y43 55x19 55y32 56x17 56y33 57x16 58x18 59x15 59y36 60x14 60y31 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8242445 Graph #1: Original: 3y24 9y78 9x42 11x55 11x31 14x87 14x73 17x49 17x115 20y11 20x94 22y109 22x19 22x80 23x81 23x33 24x90 26y109 27x29 27x38 29y97 30x76 32y49 34y2 35x53 36x80 36y35 37y54 38x19 39y26 41y56 41x12 43y87 45x40 45x81 45x48 46x81 48y61 48y59 51y32 52x94 52y82 53x9 54x26 55x43 57x39 58x109 59y87 59x30 62x116 63x56 64x68 65y17 65y94 66y110 67y70 67x43 72x11 72y31 72y93 73x24 74x87 75x55 75y1 75x76 77y100 78x114 84x27 85x33 86x92 89y83 90y85 90x112 91x34 92y100 93y52 95y98 97x65 97y36 100x47 100y17 101x65 102x25 103y12 104y32 105x85 105x2 106y13 106x5 106x106 106x89 107y83 108x86 108x94 109x25 111y59 112x68 113y105 113y63 113x47 114x9 117x79 117y68 Reduced: 1x8 1y5 2x10 2y9 3x1 3y2 4y7 5x6 5y3 6x2 7x9 7y4 8x3 8y1 9x4 9y6 10y8 Euler number: -7 Graph #2: Original: 2x6 3x3 4y18 8y20 9y10 10y22 11y42 12x36 12y34 12x22 13x16 15y29 17y11 17x8 18x12 18y38 18y43 19x43 22y23 23y24 25y29 27y8 28y40 28y32 31y42 34y44 35x34 36x37 37x21 38x26 38x6 38y21 39y30 39y5 40x44 42x42 42x15 44x18 45y17 45y42 45y34 Reduced: 1y2 2x4 2y1 3x3 3y4 4x2 4y3 Euler number: -3 Resultant Graph: 1y18 2x31 2y17 3x30 3y20 4x29 4y19 5y33 6x38 6y32 7x37 7y35 8x36 8y34 9y6 10x4 10y5 11x3 11y8 12x2 12y7 13y25 14y24 15y27 16y26 17y10 18x23 18y9 19x22 19y12 20x21 20y11 21x8 22x7 23x6 24y14 25x35 25y13 26x34 26y16 27x33 27y15 28y2 29x12 29y1 30x11 30y4 31x10 31y3 32y21 33x16 34x15 34y23 35x14 35y22 36y28 37y31 38y30 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 8294373 Graph #1: Original: 1x54 2y164 3x26 3y39 4y129 5x3 6y12 10x133 11y58 11x103 12y73 13x30 16x40 17x105 18x109 19y152 21y164 22y67 27x137 28x122 29y17 29y129 31x12 32x87 35x161 35x125 36y115 37y86 38y37 39x136 40x72 41y118 41x80 41y61 43x54 48x28 49x43 52y120 53x5 54x115 54y56 55y88 59x148 60x55 61x75 62y9 63y58 65x125 65y38 66y22 69y130 72y101 73y41 76x101 79x67 80x3 81y96 82x35 86y126 87y21 88y133 89x68 90x150 92x143 93y112 97y136 98y27 102x131 103x52 103y116 104y15 105x149 105y26 107x126 110x94 111x134 113x71 113x96 113y157 114y22 114y147 115x41 115x15 116x39 116y8 116x80 117y124 118y142 118y46 119y67 119x43 119y139 120y33 123y66 123x81 126x93 126y41 128x148 129y102 130x82 130x92 131y129 134x67 135x44 136x18 137x21 140y6 141y19 141x73 142y122 145y1 146x108 146x140 147y80 147x137 148y17 148x129 149y122 149y153 152y44 152y159 154x58 155y55 155x126 155y56 156x64 159x42 159x94 161x109 164x110 164x161 Reduced: 1x2 1y6 2x4 2y4 3y2 4x7 4y1 5x1 5y3 6x5 6y7 7x6 7y5 Euler number: -6 Graph #2: Original: 1x13 2y45 3x18 4x37 5y48 7y37 7x23 7x43 8x14 8x2 9x44 10x2 11y6 11y1 14x31 16y38 17x15 17y19 19x50 20x27 22y26 23x2 25x19 25y12 26x36 26x3 32y50 32y47 35y28 35x17 35y2 35x37 36y49 36y42 40y19 40y36 42x26 43x46 44x7 44y36 45x17 47x25 47y51 49x48 50y41 50y24 51y6 Reduced: 2x6 2y7 3x10 3y4 4y1 5x3 5y3 6x9 7x2 7y5 8x7 8y9 9y8 10x5 Euler number: -4 Resultant Graph: 1x12 1y41 2x16 3x10 3y38 4x15 5x9 5y39 6x13 6y43 7y42 8x11 9x24 9y25 10x28 11x22 11y22 12x27 13x21 13y23 14x25 14y27 15y26 16x23 17y10 18y11 19y15 20y14 21x48 21y5 22x52 23x46 23y2 24x51 25x45 25y3 26x49 26y7 27y6 28x47 29x4 29y18 30x8 31x2 32x7 33x1 33y17 34x5 34y20 35y19 36x3 37x32 37y49 38x36 39x30 39y46 40x35 41x29 41y47 42x33 42y51 43y50 44x31 45x40 45y33 46x44 47x38 47y30 48x43 49x37 49y31 50x41 50y35 51y34 52x39 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8306415 Graph #1: Original: 1y8 2x32 3y37 3x12 4x6 4y20 5x1 11y21 11x5 11y36 14x19 15y35 15x33 16y21 17y5 17y36 18y7 18y42 19x19 20x5 21y15 21x24 24x5 25y33 25x33 27x27 32y1 33x25 33y4 34y39 36x24 38y22 40x19 41x33 43y13 44y41 Reduced: 1x5 1y5 2y1 3x4 3y2 4x3 4y3 5x1 5y4 Euler number: -4 Graph #2: Original: 1x41 1x10 1x4 2x62 5x55 5x10 6y48 7y63 7x1 8y28 8x47 8y37 13x25 14y63 16x26 16x44 16x19 17x21 17y55 19y11 19x46 19x54 19y17 20x27 21y3 21y44 24x59 25x74 31x62 32x4 32x20 33x37 33y15 38x13 38y3 38x29 40x45 41y64 42x3 43x65 45x26 45y72 50x54 50x2 51y50 52x62 52x64 52y24 55y7 55x22 56y21 57y67 58y74 58x52 59y34 59y17 60y45 60y42 60y9 63y56 65x69 66x54 66x46 67y10 68y51 69y18 70y54 72y27 Reduced: 1x9 1y14 2x7 2y11 3x4 3y2 5x12 6x5 7x3 8x6 8y9 9x10 9y12 10x2 10y1 11y13 12x8 12y3 13y8 14y4 Euler number: -6 Resultant Graph: 1x59 1y64 2x57 2y61 3x54 3y52 5x62 6x55 7x53 8x56 8y59 9x60 9y62 10x52 10y51 11y63 12x58 12y53 13y58 14y54 15y14 16y11 17y2 18y9 19y12 20y13 21y3 22y8 23y4 24x45 24y23 25x43 25y20 26x40 26y16 28x48 29x41 30x39 31x42 31y19 32x46 32y21 33x38 33y15 34y22 35x44 35y17 36y18 37x32 38x30 38y34 39x27 39y25 41x35 42x28 43x26 44x29 44y32 45x33 45y35 46x25 46y24 47y36 48x31 48y26 49y31 50y27 51x9 51y50 52x7 52y47 53x4 53y38 55x12 56x5 57x3 58x6 58y45 59x10 59y48 60x2 60y37 61y49 62x8 62y39 63y44 64y40 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8313523 Graph #1: Original: 2y114 3y43 5x7 5x53 6y61 6x79 9x118 10x118 10y73 10y8 11y111 11y107 13y42 13x104 14x67 17y105 18x38 21y66 24y17 25x64 25x122 26y61 26y77 27x67 28y51 29y43 30x128 31x95 32x129 33y38 33y86 34x126 36x74 37x115 38y98 39x103 39y29 39x23 39y58 41x59 41x35 42y41 42y35 45x85 46y22 48x8 52x107 53x42 54y55 54x35 56x128 57x80 60y108 63x51 64y28 64x109 65x35 66x23 66x2 67x94 68y3 71x52 71y15 72y96 72x60 74x120 74y6 74y3 74x4 75x58 76x59 80y53 83y98 83y23 84x47 89y107 91y50 91x89 92y28 92y29 94x88 96y121 96x50 97y57 97y66 98x3 99x35 99y17 100y127 101y112 102y51 105y129 105x95 105x26 106y104 106x113 108x6 108x68 109y119 111y108 111x37 112y107 113y88 115y115 115y52 116y126 117y106 120x62 121x67 122y21 123y75 123y40 125x50 128x58 129y70 129x5 130x20 Reduced: 1x7 1y6 2x4 2y1 3x10 3y3 5x9 5y4 6x6 6y8 7x1 8x5 8y10 9x8 9y9 10x3 10y7 Euler number: -7 Graph #2: Original: 3y42 3x62 4x27 6y29 9x46 10x6 12x29 16x35 16x56 18x24 19x6 21x53 22x38 23y56 24y19 24y20 25y41 26y27 26y53 28y37 28x38 29x48 29x48 29y29 32y1 32x16 34x4 36y6 37y40 39x65 41x15 41x46 41y47 43x7 43y10 44x41 45y22 45x36 46y32 46x48 47y27 49x6 50y47 51x67 51x60 56x49 59y16 59y31 61x61 62y62 62x30 62x48 62y51 63y43 64y41 65y58 66x25 66y55 66y8 66y25 67x8 Reduced: 1x2 2x3 2y2 3x4 3y4 4x1 4y1 Euler number: -3 Resultant Graph: 1x22 2x23 2y18 3x24 3y20 4x21 4y17 5x12 5y4 6x11 6y1 7x34 8x35 8y8 9x36 9y10 10x33 10y7 13x30 14x31 15x32 15y12 16x29 16y11 17x18 18x19 18y26 19x20 19y28 20x17 20y25 21x2 22x3 23x4 24x1 25x14 26x15 26y34 27x16 27y36 28x13 28y33 29x26 30x27 30y30 31x28 31y32 32x25 32y29 33x8 34x9 34y22 35x10 35y24 36x7 36y21 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 8370909 Graph #1: Original: 1y20 2y35 3x27 4x15 4y32 5x32 5y49 5x36 6x39 7y23 10y17 10x35 10y7 11y2 11x43 13y34 14y6 15x26 16x7 17x43 18y35 20y19 20y32 21y7 22y12 23x41 24y31 24x26 25x18 25y5 26y16 27y34 28y17 28x45 30y18 32x17 32x11 33y23 34y2 35x13 38x40 38x13 41x6 42x24 43x25 43x49 45x27 46x42 46y1 48y1 48x8 48x14 Reduced: 1y3 2x6 3x10 3y2 4x7 4y9 5x9 5y6 6x8 6y4 7x2 7y11 8x11 9x5 10x3 10y1 11x4 11y7 Euler number: -7 Graph #2: Original: 3x56 5x7 8y19 9y51 9x20 11y7 13y42 14y49 15x6 20y13 20x4 22x61 24x8 25y40 27y8 27x6 28y50 28x54 29x46 30y40 30y32 31x14 31x51 33y32 34y33 34y39 35y30 37y45 42y62 43x24 45x36 45y24 45x39 46y68 46x65 46y10 50y68 51y12 52x23 52y8 53x36 56y12 58y27 58x59 62y28 62x66 65x25 65y39 65x44 66x25 67y25 68x52 68x28 Reduced: 1x3 2x2 2y3 3x4 3y2 4x1 4y1 Euler number: -3 Resultant Graph: 1y9 2y8 3x21 4x20 5x22 6x19 7x37 8x36 8y5 9x38 9y4 10x35 10y3 11x25 12x24 12y33 13x26 13y32 14x23 14y31 15x33 16x32 16y21 17x34 17y20 18x31 18y19 19x29 20x28 20y13 21x30 21y12 22x27 22y11 23x5 24x4 24y41 25x6 25y40 26x3 26y39 27x41 28x40 29x42 30x39 31x17 32x16 33x18 34x15 35x9 36x8 36y2 37x10 37y1 38x7 39x13 40x12 40y25 41x14 41y24 42x11 42y23 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 8377097 Graph #1: Original: 1x49 1y86 3x64 4y8 5x34 6y65 6x21 6y27 8y24 10y84 11x68 11y1 13x88 13x20 14y15 14x50 17x81 19y39 19y52 21x16 21x21 23x30 25x7 26x5 26y45 27y20 29y76 29y51 31x72 32x28 34x57 35x6 37x48 38y27 41y43 42x84 44x81 45y36 46x63 47y44 48y66 48x11 50y46 50y35 53y16 56x47 57y79 57y16 58y66 59x22 59y33 61x75 65y10 68y54 70x57 74x16 74x83 74x17 75x20 76x57 77x31 77x81 79x39 79x12 80y25 81x29 84y63 86y68 86x31 87x64 87y72 88y60 Reduced: 1x3 1y2 2y4 3x2 3y1 4x4 4y3 Euler number: -3 Graph #2: Original: 1y47 2y119 2x118 5x148 7x50 7x59 7y80 10x44 10x135 11x80 11y101 13y107 17x26 19x84 19y7 23y60 24y96 27y118 27y91 28x115 28x71 31x44 32y22 32x25 32y2 33x18 33x88 34y16 35x134 37x80 39y52 40x20 43x5 43y42 44y133 45x125 46x124 46y81 47x18 48x11 48x120 49y94 49y130 49x9 51y65 53y3 54y14 54y106 55x6 57y105 59y133 65x92 66x129 68y48 70y89 71x100 73x133 74y49 77y88 78y142 80x104 81y70 82y8 83x119 84x12 84x57 88y114 89x28 89x79 90x138 90y49 91y70 92x11 93y11 93x146 94y47 95x17 97y113 98x42 99x103 99x151 105x145 105y103 106y122 109x153 110x83 111y9 113x91 114x107 114y154 116y40 116x47 118y86 119x69 120x142 121x78 121y92 121y77 122x4 124y107 124y14 125x17 126y106 126x153 126x125 130y97 130x36 131y92 131y122 133x106 137y91 137y61 139y97 140x99 140y1 143y50 144x98 147y48 148y82 148x37 148y21 149x122 153y21 153y27 154y129 154x36 Reduced: 1x2 1y7 2x5 3x6 3y8 4x3 4y5 5x8 5y1 6x1 6y4 7x4 7y2 8x7 8y6 Euler number: -7 Resultant Graph: 1x18 1y15 2x21 3x22 3y16 4x19 4y13 5x24 5y9 6x17 6y12 7x20 7y10 8x23 8y14 9y31 11y32 12y29 13y25 14y28 15y26 16y30 17x10 17y7 18x13 19x14 19y8 20x11 20y5 21x16 21y1 22x9 22y4 23x12 23y2 24x15 24y6 25x26 25y23 26x29 27x30 27y24 28x27 28y21 29x32 29y17 30x25 30y20 31x28 31y18 32x31 32y22 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 8386399 Graph #1: Original: 1x73 3y48 3y50 5y38 6x7 7x93 7y31 9x91 13x12 13x58 13y46 13y9 15y2 18x90 19x51 19y26 21x47 23y93 23y25 24x25 25y12 26x47 26x89 27y78 27y29 27x83 28y28 29y27 30y23 32y52 39y92 40x82 46y93 46y10 47x5 51y3 52x8 54y73 54x72 56y70 59y86 59y90 60x90 61y69 62y45 63x19 64y67 65x68 66y92 67x87 71x83 73y25 74x62 75x78 76y68 76y17 77y18 79x26 81y40 82y15 82y28 82x26 83y35 85y90 86x91 88y47 88y55 89x61 91x39 92y42 92x81 92x83 93x58 94x30 94y39 95x15 95y34 Reduced: 1x4 1y2 2y1 3x2 3y3 4x5 4y5 5x3 5y4 Euler number: -4 Graph #2: Original: 1y22 3y24 3x15 4x27 5x26 5x23 5x26 7x13 8y23 8x20 8x20 9y6 10x12 10y4 11x3 11y1 12x29 12x19 13y24 14y21 15x22 16y6 17y27 18y12 19y27 20y27 22x17 23x24 24y19 24x18 25x15 28x7 28y22 29y2 29y9 29y10 30x10 Reduced: 1x8 1y7 2x4 2y8 3y2 4x3 4y5 5x6 6x7 6y3 7x1 7y4 8x2 8y6 Euler number: -6 Resultant Graph: 1x31 1y14 2x27 2y15 3y10 4x26 5x29 6x30 6y11 7x24 7y12 8x25 8y13 9y7 10y8 11y2 12y5 13y3 14y4 15y6 16x15 16y22 17x12 17y23 18y17 19x11 19y20 20x13 21x14 21y18 22x9 22y19 23x10 23y21 24x39 24y38 25x35 25y39 26y33 27x34 27y36 28x37 29x38 29y34 30x32 30y35 31x33 31y37 32x23 32y30 33x19 33y31 34y25 35x18 35y28 36x21 37x22 37y26 38x16 38y27 39x17 39y29 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8388613 Graph #1: Original: 1x44 3y86 5x115 6y93 9x93 10y23 12x100 13x80 13x108 14x20 15x94 15x87 16x48 17x90 19y66 22x51 22y83 25x39 26x13 26x44 29x38 29y70 33x55 35y100 35y17 36x110 36x59 37y48 37x17 37x111 38x76 38y110 40x109 40y59 41x84 42y64 42y112 43y19 45y98 46x85 48y107 48x73 49y104 50x86 52x42 53x21 53x102 55y39 56y82 58x23 59y18 60x45 62y104 65y109 65y53 66x42 67x69 68y97 69y83 70x30 71x107 72y37 73y16 73y45 73x45 76y39 76y40 78x120 79x55 79y42 79y50 79y62 80y104 82y5 82x37 84x65 85x3 87y63 87x61 89x51 89y48 89y120 93x57 94x1 95x8 95x84 96x36 96x111 97y34 98x99 101x59 103y84 107x74 108x12 108x44 110y117 113y34 113x85 114x119 114y118 116y108 117y21 117x14 119x52 Reduced: 1x2 1y2 2x7 3x4 3y6 5x5 5y7 6x3 6y5 7x1 7y4 Euler number: -4 Graph #2: Original: 1y1 2x56 3x130 3y164 4x99 5x156 7y138 8y57 8y111 10y44 11y78 12x101 12y29 13x69 14y124 16y159 16y62 16x81 16y133 17x15 18y97 18y51 18y114 22x20 23x123 29x1 30x91 30y158 31y68 31y62 32x7 32y46 33y95 33x120 33y133 35y29 37y127 38x82 39x148 41x59 42y74 42x94 47x12 48y18 49y101 50x73 53x146 56x159 57y165 57x56 58y112 60y25 61y21 67y43 69x29 69x109 71y31 72y51 75y104 75x105 76y148 77y28 78x14 78y13 79x40 83x25 85x96 86x58 87x25 87x66 87x28 88y63 93y102 94y15 96x103 97x67 98x148 98y64 100x76 100y10 101x119 102x88 103y125 104x37 104x109 104x64 106x76 107x147 107y53 108x18 111x96 113x85 116y4 116y41 116x101 118y59 118x90 119x43 120y15 121y107 121x33 121x54 121y5 122y135 122y15 123x137 123y145 124y77 125x140 126x108 127x151 127y163 127y63 128y7 130x35 131x161 133y125 134y111 135y90 135x129 136x54 137y125 138y87 139y97 139y14 141x51 143y142 143y166 145y80 145x168 151y133 152y164 153y93 155x51 157x113 159x81 159x55 160x28 161y13 161y131 162x20 164x11 167y143 168y48 Reduced: 1x7 1y5 2x1 2y3 3x2 3y1 4x8 5x6 5y4 6x3 6y6 7x5 7y7 8y2 Euler number: -6 Resultant Graph: 1x14 1y12 2x8 2y10 3x9 3y8 4x13 4y11 5x10 5y13 6x12 6y14 7y9 8x49 9x43 10x44 11x50 12x48 13x45 14x47 15x27 15y40 16x22 16y38 17x23 17y36 18x26 18y39 19x24 19y41 20x25 20y42 21y37 28x34 28y47 29x28 29y45 30x29 30y43 31x35 32x33 32y46 33x30 33y48 34x32 34y49 35y44 36x20 36y32 37x15 37y30 38x16 38y28 39x21 40x19 40y31 41x17 41y33 42x18 42y34 43x6 43y25 44x1 44y24 45x2 45y22 46x7 47x5 48x3 48y26 49x4 49y27 50y23 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8411055 Graph #1: Original: 2y26 3y3 3y89 5x26 6y4 6x88 6y3 7y25 7x80 8y72 9y70 9y91 11x12 12y97 14x14 15y94 17y54 18x65 21y61 23y11 23x71 24x11 25x34 26x33 33y43 34x53 39y66 40y1 40y11 41y29 41x14 43y74 45y47 45y9 45y53 47y92 48x57 50y54 51y31 52x68 52x1 52x40 53x31 54x34 54y75 55x49 55x30 56x58 56y78 62x96 62y60 62x39 64x53 64y40 66y71 67x94 68y15 69y11 70x90 71x82 74x45 76x90 77x19 78y91 81y20 81y75 82y7 84x4 85x23 86y40 86x79 87y5 88y76 89y1 90y4 91x95 92y62 92y93 93y42 93y46 94y18 94x37 96y60 Reduced: 1x1 1y4 2x3 2y2 3x4 3y5 4y3 5x2 5y1 Euler number: -4 Graph #2: Original: 1x44 2y98 2y84 3y114 5x115 6y3 6y30 6x117 7y46 8y129 8y133 9y77 11y126 13x24 16x93 20x74 21x116 22y130 22x23 23x143 26x57 28y110 29x106 30y142 31y137 31x5 32y149 32x101 33x102 36x106 37x141 38y22 40x136 40x64 41y46 41y153 41y26 43x138 43y40 44y76 45x107 45x10 48y71 48y20 48y106 51x110 52y121 52y74 53y106 55y2 55x152 55y24 56x26 57x94 60x131 61y153 63x24 63y58 63y95 64y52 66x42 68x131 68y101 69y111 69y122 72y1 73x47 74y44 80y100 83x25 83x64 87y20 87y14 88y135 90y91 90x79 92x65 92x116 93y122 93y150 94x118 94x12 96y71 96y144 96y98 98x75 98x47 99y97 99y46 101y92 101y27 102x123 103x94 105x16 105y119 109y128 112x78 113y36 114x126 115x92 115x116 122y4 124y136 125x100 126y103 126x140 128x99 128x125 128y111 129y97 129x42 129x94 131y144 132y6 133y127 133y135 133x150 134x20 134y51 137y121 137x62 139x76 139x22 141y5 142x104 142x102 144x17 144y76 145x140 145y15 147x98 147y109 148x117 148y134 150y35 150x90 151x83 152x137 Reduced: 1x7 1y6 2x9 2y3 3y4 4x3 4y5 5y8 6x1 6y7 7x4 7y1 8x8 8y2 9x2 Euler number: -6 Resultant Graph: 1x7 1y33 2x9 2y30 3y31 4x3 4y32 5y35 6x1 6y34 7x4 7y28 8x8 8y29 9x2 10x25 10y15 11x27 11y12 12y13 13x21 13y14 14y17 15x19 15y16 16x22 16y10 17x26 17y11 18x20 19x34 19y41 20y38 21y39 22x30 22y40 23y43 24x28 24y42 25x31 25y36 26x35 26y37 27x29 28y24 29y21 30y22 31y23 32y26 33y25 34y19 35y20 36x16 36y6 37x18 37y3 38y4 39x12 39y5 40y8 41x10 41y7 42x13 42y1 43x17 43y2 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8440094 Graph #1: Original: 1x44 1x11 1x22 3y51 4x9 5y35 6x10 7y32 9x2 11y56 11y37 13x12 13y32 14y21 15y37 15x1 16y26 17x11 18x18 18x56 21y27 21y38 23x29 26y7 27x44 27y11 30y28 30x30 31x41 31x25 32x14 33y48 33y33 35y1 37y14 37x40 38y31 40x9 43y11 44y12 45y1 46x39 47y57 48y54 49y6 49x50 52x9 54y19 Reduced: 1x2 1y2 2x1 2y5 3x3 3y4 4y1 5x5 5y3 Euler number: -4 Graph #2: Original: 1y16 2x52 3x87 3y52 4y33 4x78 5x77 5y58 5y20 6x36 6x16 8y90 9y27 10x40 10y27 12y68 13y48 14y71 14y79 14y42 16y4 16x86 18y46 19y93 19x20 19x17 21y21 21y33 22y21 23y77 27y49 27x45 29x22 29y3 30x3 31x71 31y22 33x48 34y8 38y55 39x43 41x66 45y32 45y24 46y50 46y14 47y48 48y19 49x86 52x38 52x70 53y77 54y42 56y51 57y24 58x5 60y56 60x51 60x43 61x83 61y92 62x61 63x75 64x36 65y64 66y64 68y66 71y91 75x59 76y46 77y81 78x80 80y54 80y63 83y90 86y59 87y52 88y38 88y22 93y13 Reduced: 1y4 2x5 2y2 3x3 3y8 4x1 5x10 5y6 6x4 6y10 7x9 7y5 8x2 8y3 9x6 10y7 Euler number: -6 Resultant Graph: 1y14 2x15 2y12 3x13 3y18 4x11 5x20 5y16 6x14 6y20 7x19 7y15 8x12 8y13 9x16 10y17 11y40 12x5 12y38 13x3 13y44 14x1 15x10 15y42 16x4 16y46 17x9 17y41 18x2 18y39 19x6 20y43 21x24 21y30 22x22 22y35 24x29 24y33 25x23 25y36 26x28 26y32 27x21 27y31 28x25 29y34 30y2 31y8 32y6 33y10 34y5 35y3 36y7 37y23 38x41 38y21 39x39 39y27 40x37 41x46 41y25 42x40 42y29 43x45 43y24 44x38 44y22 45x42 46y26 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8454095 Graph #1: Original: 1y5 3x77 3x66 3y44 3x8 3x43 5y66 9x77 9y68 10y63 10x15 12y28 12x30 13x22 16y64 17x2 17x50 18y67 19y6 20y74 21x35 23y56 23y45 24x83 25x45 28y76 31x13 31y85 33y41 35y76 36y15 38y74 38x85 39y35 39y16 40y76 41x62 42x21 43y53 44y83 45y50 47y9 47y44 47y71 48y43 48y30 49y66 51y64 51x2 53y86 54y21 55y61 55x33 56x10 58x59 61y15 61y33 62y11 63x14 65x38 67x1 67x79 68x50 69x22 69y75 69x53 70y65 72y18 72x8 77x65 82y77 83y19 85y82 85x57 Reduced: 1x1 1y4 2x3 3x4 3y3 4x2 4y1 Euler number: -3 Graph #2: Original: 1y51 2x49 4y72 4x82 5x14 7y33 7x2 8x49 10y29 10x64 11y8 13x68 13y79 15y23 15y81 15x24 17x27 18x14 19x9 21y67 22x2 24x14 24x37 25y78 26x10 26y66 28y36 30x86 30x10 32y4 35x56 37y11 38y64 38x47 40x33 41x81 43x17 44x39 44y4 45x2 45y51 47x53 47x62 48x27 48y59 49y73 51y66 53x55 54y67 55x11 56x44 57x72 57x50 58x34 59y67 60x8 61x68 62x46 63y36 63y45 64y32 65x13 65y49 65x3 66x27 66x60 67x42 67y31 67x14 69x72 70x76 71x44 71y54 73x45 74x37 78x23 79x63 80y46 80x48 82y25 83y28 83x29 83x64 Reduced: 1x9 1y12 2x11 2y1 3y2 4x2 5y11 6x4 7x6 7y8 8x1 8y9 9x12 9y10 10x8 10y5 11x3 12x7 12y7 13x10 13y4 Euler number: -8 Resultant Graph: 1x9 1y48 2x11 2y37 3y38 4x2 5y47 6x4 7x6 7y44 8x1 8y45 9x12 9y46 10x8 10y41 11x3 12x7 12y43 13x10 13y40 14x32 15x34 16x25 17x27 18x29 19x24 20x35 21x31 22x26 23x30 24x45 24y35 25x47 25y24 26y25 27x38 28y34 29x40 30x42 30y31 31x37 31y32 32x48 32y33 33x44 33y28 34x39 35x43 35y30 36x46 36y27 37x20 37y12 38x22 38y1 39y2 40x15 41y11 42x16 43x17 43y8 44x14 44y9 45x23 45y10 46x19 46y5 48x18 48y7 49x21 49y4 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8496090 Graph #1: Original: 2x33 2y94 4y34 4y23 5y3 7x48 12y88 14y63 14y35 14y26 14x43 15x120 16y108 16y113 18y117 19y104 20x40 22x23 22y130 23y159 24x86 25y122 25y111 27x61 28y84 30y151 31x23 32x31 32x130 34x149 34y26 37x45 37y35 38y50 39y138 44y155 44x96 45x78 46x110 46x151 47y132 50x104 50x53 54x17 58x60 60x93 64y143 67x43 67y121 68y147 69x127 70x49 71y118 73x162 73y95 76x56 77y107 77y88 78y95 78x125 79y24 80x75 81x102 82y56 82x20 86x44 86y131 91y50 92x159 93x40 93x113 94x51 95y162 96y31 97y152 97x154 97x13 98y131 98y27 98x26 99y121 100y41 101y106 102y89 104x128 105y101 107y104 108y140 113x102 115x11 118x29 120x160 120x84 121y15 123y24 124x27 126x135 127y58 127y52 127y154 127x4 129x94 129y73 132y72 132x52 132y4 134y2 135x146 136x27 136y30 137y3 140y25 140y2 142x131 144y163 147y142 147y57 148x74 148x3 148x132 148x103 149x120 150x49 150x36 151x135 151y19 153x128 154x63 154y59 156x140 157x58 158x25 161x28 161x161 163x23 163x143 Reduced: 1x5 1y4 2y9 5x3 5y13 6x10 6y1 7x2 7y11 8x4 8y5 9x1 9y6 10x9 10y10 11x6 12x11 12y2 13x13 13y3 Euler number: -7 Graph #2: Original: 2y23 7y33 8y30 10y32 10y17 11y36 12x27 12y19 14y18 15y37 17y8 17y21 18y39 18x31 19x1 20y23 20x42 20x36 21x23 23y21 25y33 26y16 28y21 28y36 29y13 29x20 29y33 30x27 32y26 33y38 33x26 33x36 36y5 37y24 38x30 Reduced: 2x4 2y4 3x5 3y1 4x3 4y5 5x1 5y3 Euler number: -3 Resultant Graph: 2x21 2y16 3x22 3y14 4x20 4y17 5x18 5y15 7y36 8y40 9y38 19x12 19y57 20x13 20y54 21x11 21y58 22x10 22y56 24x44 24y4 25x45 25y1 26x43 26y5 27x41 27y3 28x8 28y48 29x9 29y46 30x7 30y49 31x6 31y47 32x16 32y21 33x17 33y18 34x15 34y22 35x14 35y20 37x4 37y26 38x5 38y23 39x3 39y27 40x1 40y25 42x39 42y44 43x40 43y41 44x38 44y45 45x36 45y43 47x27 48x25 49x23 50x48 50y8 51x49 51y6 52x47 52y9 53x46 53y7 55x57 55y12 56x58 56y10 57x56 57y13 58x54 58y11 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 8503752 Graph #1: Original: 1x1 1y5 1y4 3x8 3y11 5y8 6x1 7y2 8y3 8x4 11y2 12x17 13x3 13y9 14x3 15y3 17x18 17y14 18y11 Reduced: 1y3 2x2 2y1 3x1 3y5 4x5 4y4 5x3 Euler number: -3 Graph #2: Original: 2x8 3x4 4y111 4x131 5y57 5x25 7x65 9x63 9x28 9x99 10y58 10y10 12x24 12y129 14x80 14y112 15y127 21y127 24y68 25x137 26y114 26x129 27y4 27y97 28x82 30y109 33x118 34y43 35y64 40y53 44y68 46y46 49x49 49x10 50x113 51y91 52y38 52x141 53y17 55y121 56y12 60y134 64y56 65y52 67y139 74x101 76y149 76y20 77x94 78y69 81y101 82x133 82y24 83x22 87y130 89y114 91x53 91x107 92y87 92x133 95y115 95x91 95y120 97x36 99y23 100y120 100y36 100x81 101x128 101y128 103x58 104x134 104x30 105y85 106x33 109x74 109y64 109y19 110y66 111y114 111y51 112y72 113x132 113y59 113y87 114y8 114x146 115x124 118x136 119x150 119y68 121x88 121x3 124y18 126y129 127x49 129x130 131x33 132x146 136y29 137y103 137x112 139y124 139y52 141x51 141y69 142y102 142y119 143y118 143x60 146x107 147y7 149x100 150x40 Reduced: 1y4 2x7 2y5 3x5 3y6 4x3 4y3 5x4 5y2 6x2 6y1 7x8 7y8 8x6 8y7 Euler number: -7 Resultant Graph: 1y19 2y20 3y21 4y18 5y17 6y16 7y23 8y22 9x14 9y5 10x12 10y6 11x10 11y3 12x11 12y2 13x9 13y1 14x15 14y8 15x13 15y7 16y34 17x7 17y35 18x5 18y36 19x3 19y33 20x4 20y32 21x2 22x8 22y38 23x6 23y37 24y27 25x37 25y28 26x35 26y29 27x33 27y26 28x34 28y25 29x32 29y24 30x38 30y31 31x36 31y30 32x22 33x20 34x18 35x19 36x17 37x23 38x21 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 8510922 Graph #1: Original: 2y8 3y40 4x51 4y10 5y54 6x81 8y32 8x70 10x58 10x32 11x71 13y34 14x39 15x51 16x39 20x86 20y37 20y84 20y40 21x54 21x38 22y16 23y47 23y2 24y5 25x74 27x40 28x19 29x14 30y20 30y16 32y22 33x66 33y67 35y71 36x68 36y12 37x57 39x47 41x33 43x45 43x77 46x52 46x2 47y40 47y83 48x67 49y31 49x6 49y74 50x75 50x3 51x49 52x46 54x24 57y60 60x42 61y11 62y19 62x25 64x28 64x76 67y84 67x79 68x45 72x86 72x28 74y64 75x35 76y18 77y30 78x38 78x61 78x13 78x18 79y65 80x14 80x44 82y27 83y49 84y1 85y26 86x56 87y27 87x4 89x42 89x46 Reduced: 1x2 1y8 2x10 2y10 3y9 4x8 4y1 5x7 6x9 6y4 7x3 7y5 8x4 8y6 9x6 9y7 10x1 Euler number: -7 Graph #2: Original: 1y2 1y69 1x78 2y71 2y19 3x18 4x59 4y59 5y73 6y39 6y53 6x54 7y60 10y6 11y66 12x27 14x11 14y1 18x8 21y23 22y69 23x72 26x26 26y60 27x12 27x17 28x42 32y30 33x29 33y61 35x76 36y23 37y59 38y9 39x38 41x34 41y50 41y62 41y23 43y72 43x77 44x11 44x23 44y12 45y69 47y44 49y60 50y76 53y19 57y47 57y2 58y44 59x46 60x27 61y9 62x49 64x29 66x20 66x30 67y15 69x2 74y26 76x5 77y14 79y68 Reduced: 1x3 2x2 2y3 3x1 3y4 4x4 4y2 Euler number: -3 Resultant Graph: 1x7 2x6 2y29 3x5 3y30 4x8 4y28 5x37 6x36 6y37 7x35 7y38 8x38 8y36 9y33 10y34 11y32 12x29 13x28 13y3 14x27 14y4 15x30 15y2 16x24 17x23 18x26 19x33 20x32 20y14 21x31 21y15 22x34 22y13 23x10 24x9 24y17 25y18 26x11 26y16 27x14 28x13 28y21 29x12 29y22 30x15 30y20 31x21 32x20 32y25 33x19 33y26 34x22 34y24 35x3 36x2 37x1 38x4 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 8512648 Graph #1: Original: 1y77 1y96 1y1 2y4 3x32 3y91 4y26 5y70 5y43 6y82 8x70 9y34 9y81 9x53 10y50 11x31 11x48 12y47 12x10 12x82 14y34 15y60 15y21 17x75 20x82 21y80 24y69 27x43 28x26 29x28 30x80 30y67 32x86 33y64 36x79 38x23 38x27 40x67 41y18 42y5 42y52 43y39 43y34 44y27 44y96 45x60 45x84 46y92 46x31 48x62 50x16 50x30 55y90 55x15 55y32 58x44 59y85 60x4 61x75 63x70 64x26 65x5 69x17 72y21 72y33 73x30 73x31 74x92 75x79 75x59 77y94 77x73 80y73 86y48 88y15 88y62 89y41 89y81 90y54 90x56 91x20 93x1 93y65 93x63 95y6 96x83 Reduced: 1x4 2x6 2y1 3x2 3y6 4x5 4y2 5x3 5y5 6x1 6y3 Euler number: -5 Graph #2: Original: 3x10 4x66 6y103 7x13 8x120 9y98 10x106 11y35 11y45 12y34 12y113 14y53 17x98 19y56 21y32 21x55 22x77 22x18 24y124 26x121 26y102 28y122 30y61 32y71 33y108 35x88 36x62 37x100 38x107 40x22 43y94 44x75 44x50 44y44 53y100 53x57 54y141 56y97 56x64 62y3 65y6 65y122 66x62 66x27 68x128 75y46 76y72 77x84 77x40 78y115 80y102 81x90 81y41 84y127 84y6 86y120 87x110 87y114 90x57 90x59 93x137 93y96 94y80 94y101 95y44 96x92 96x11 97x133 99x126 99x21 101x105 101y52 102x80 104y87 104x53 105x70 105y62 105y137 106y93 107y51 108x121 110y92 113x13 117y112 117x6 117y23 119y34 120y74 120x140 121y81 122y81 122x62 123x84 123x29 125y55 127y15 130x134 131y129 132x59 133y134 133x37 134x75 136y82 137x94 138x5 143x28 143x38 144x85 Reduced: 1x6 1y5 2x3 2y7 3y1 4x7 4y6 5x1 6x2 6y2 7x9 8x5 8y8 9x4 9y3 Euler number: -6 Resultant Graph: 1x33 2x30 4x34 5x28 6x29 7x36 8x32 9x31 10x51 10y5 11x48 11y7 12y1 13x52 13y6 14x46 15x47 15y2 16x54 17x50 17y8 18x49 18y3 19x15 19y50 20x12 20y52 21y46 22x16 22y51 23x10 24x11 24y47 25x18 26x14 26y53 27x13 27y48 28x42 28y14 29x39 29y16 30y10 31x43 31y15 32x37 33x38 33y11 34x45 35x41 35y17 36x40 36y12 37x24 37y41 38x21 38y43 39y37 40x25 40y42 41x19 42x20 42y38 43x27 44x23 44y44 45x22 45y39 46x6 46y23 47x3 47y25 48y19 49x7 49y24 50x1 51x2 51y20 52x9 53x5 53y26 54x4 54y21 Euler number: -29 Ratio: 0.9666666666666667 --------------------------------------------- Iteration 8515099 Graph #1: Original: 1x40 4y72 4x49 4x57 6y90 6x72 7y35 8y21 8x40 9y71 12x30 14y22 18x5 18y69 18y50 19x69 21x2 22x12 23x58 23y56 23y18 25y31 27x80 27x39 27y66 27y20 28x82 32x39 32x26 32x15 34y87 37y88 39y3 39y52 39x24 40x19 41y20 42x85 43y34 43x14 44y67 45x39 46y16 47x43 48y51 49y67 49x54 49x65 51y15 51x3 52y4 52x92 53y19 53y24 56y61 58y37 60y30 62y41 67x54 71y7 73y65 74x77 75y93 75y69 76x72 77x94 78x89 80y60 80y90 81y36 82x33 83y94 84x74 86x24 88x1 88x17 89y45 89y75 91x86 93x49 94x82 Reduced: 1x3 1y4 2x6 2y7 3x5 3y1 4y2 5y5 6x7 6y3 7x1 7y6 Euler number: -5 Graph #2: Original: 2x68 2y50 3y45 3y69 5x4 5x19 9x74 9x11 9y42 11y43 11y78 12x53 12x18 13x37 14x69 16y26 19x4 21y52 22y73 22y10 23y55 24y66 24y49 26x23 27y8 27x4 28x74 29y57 30x59 31x18 32x67 32y8 32y48 33x30 33y61 34x3 34y16 35y67 36x73 37x22 37x54 41x11 41x6 42y20 43x8 44x47 45x71 49y65 49x77 50x26 50x17 51y24 52y54 52x1 53x66 56y42 58x46 58y13 59y34 60y35 61x32 62y6 63x72 64x37 65x58 65x36 66y17 66y43 67x61 70y25 70x21 71x7 73x60 73x53 78x45 Reduced: 1x6 1y2 2x1 2y4 3x4 4x3 4y5 5x5 5y1 6x2 6y6 Euler number: -5 Resultant Graph: 1x17 1y19 2x12 2y20 3x15 4x14 4y21 5x16 5y18 6x13 6y22 7x33 7y35 8x28 8y37 9x30 9y38 10x32 10y34 11x29 11y39 12x27 12y2 13x23 13y4 14x25 15y5 16x26 16y1 17x24 17y6 18y8 19y9 20y10 21y7 22y11 23y24 24y25 25y26 26y23 27y27 28x39 28y13 29x34 29y15 30x37 31x36 31y16 32x38 32y12 33x35 33y17 34x6 34y29 35x1 35y31 36x4 37x3 37y32 38x5 38y28 39x2 39y33 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 8542535 Graph #1: Original: 1x42 2y22 5x75 11x36 12x97 13x58 13y7 13y97 15y24 16y68 16y35 19y69 20x31 23y4 24x19 25y59 27x15 27y46 27x95 30y73 32x54 34y72 35x93 36x53 37y76 40y60 42y94 43x39 43y49 44y69 45x56 46y71 46x23 48y106 49x62 53y19 54x85 54y68 56x75 57x20 59y101 60y6 61x93 63y97 63x7 64y66 64y24 64y79 65y80 65y13 67y28 68x22 69x10 70x37 74y20 75x6 75x36 77y56 78y18 78x42 79x2 79y8 80x53 82y85 82y51 83y88 83y86 83y66 85x56 86y71 88y65 89y102 90y31 93x38 94x71 94y32 94y26 94x47 95x92 96y15 97y85 100y78 102y94 102y38 104y20 105x64 Reduced: 1x5 2x4 3x7 4x11 4y11 5x9 5y3 6x8 6y1 7x6 7y9 8x2 9x1 9y4 10x12 11y6 12y5 13x13 13y7 Euler number: -6 Graph #2: Original: 1y29 2x21 2x45 3x24 7y17 8y38 8x21 9x41 9x30 11x3 12y31 15y17 16x5 17y31 18x33 19y16 20x35 20y11 21x1 22y44 24y57 24y30 25y41 25x6 26y16 27y11 28y36 28x43 28y5 29y58 30x9 31x56 33x16 33x7 37y46 38y1 38x40 40x29 40y12 40y51 42y1 44y18 45x9 46y34 46x37 47y27 47x6 47y10 48x47 50x41 51x41 54x48 54y21 55x12 55y54 Reduced: 1x1 1y2 2x5 2y1 3x4 4x3 4y5 5x2 5y4 Euler number: -4 Resultant Graph: 1x20 2x24 3x23 4x22 5x21 6x15 7x19 8x18 9x17 10x16 11x30 12x34 13x32 14x31 15x45 15y46 16x48 16y45 17x47 18y48 19x46 19y47 20x40 20y12 21x44 21y11 22x43 23x42 23y14 24x41 24y13 25x35 25y2 26x39 26y1 27x38 28x37 28y5 29x36 29y4 30x25 30y41 31x29 31y40 32x28 33x27 33y44 34x26 34y43 35x6 36x10 37x9 38x8 39x7 40x1 40y16 41x5 41y15 42x4 43x3 43y19 44x2 44y18 45y26 46y25 47y29 48y28 49x49 49y31 50x53 50y30 51x52 52x51 52y34 53x50 53y33 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8568177 Graph #1: Original: 1y32 2y73 3y81 6x12 7x25 8y28 9x80 9y59 10x69 10x25 11y34 12y67 13x18 15y54 18y25 18y31 19x58 19y59 20x29 21y48 24y66 26y68 27y59 29x66 29y74 31y57 31x20 32y70 33x65 33x78 34x39 34x30 38y74 38y60 39x4 40x39 40y29 41y35 41y18 42x72 42y53 43y85 45x40 47x5 48y44 49x73 53x61 53x85 54x83 54y65 57y11 58y51 59x26 60x45 60x54 65x53 66x50 67x3 67x8 67x86 70y66 70x6 72x17 74y77 75y41 76y45 77y20 78x6 81y22 81y24 82x57 82y45 83y71 83x22 85y42 85x5 86x68 86x67 87x46 87y59 Reduced: 1x10 2x3 2y5 3x1 3y12 4x5 4y9 5x9 5y10 6x12 6y4 7x4 7y11 9x2 9y8 10x8 10y7 11y1 12x6 12y2 Euler number: -8 Graph #2: Original: 1y11 1x45 2x29 5y4 6x46 6y30 7y43 8y14 9y43 9x8 10y24 10y43 11x35 11y55 12y58 12y60 13y53 20y48 20x16 21y28 21y22 23y4 23x37 23x32 24y24 25x59 27y34 27x22 28x37 29y29 30x44 30x29 31x62 35x60 36y8 36y59 38y46 41x35 41y5 42x61 43y56 44y19 47y34 47y61 47y32 47x29 48y57 49x8 50y44 51y13 52x41 53x35 56x30 59x62 60x9 60x20 62x6 Reduced: 1x3 1y2 2x5 2y1 3x4 4x2 4y4 5x1 5y5 Euler number: -4 Resultant Graph: 1x46 2x48 3x47 4x45 5x44 6x13 6y22 7x15 7y21 8x14 9x12 9y24 10x11 10y25 11x3 11y54 12x5 12y53 13x4 14x2 14y56 15x1 15y57 16x23 16y40 17x25 17y39 18x24 19x22 19y42 20x21 20y43 21x41 21y45 22x43 22y44 23x42 24x40 24y47 25x39 25y48 26x55 26y17 27x57 27y16 28x56 29x54 29y19 30x53 30y20 31x18 31y50 32x20 32y49 33x17 33y51 34x16 34y52 39x8 39y36 40x10 40y35 41x9 42x7 42y37 43x6 43y38 44y32 45x38 45y31 46x37 47x36 47y33 48x35 48y34 49y2 50y1 51y4 52y5 53x28 53y7 54x30 54y6 55x29 56x27 56y9 57x26 57y10 Euler number: -31 Ratio: 0.96875 --------------------------------------------- Iteration 8585172 Graph #1: Original: 2x44 3x74 3x6 4y47 4y21 6y54 7x17 7x96 8x80 9y67 10y75 10x79 11x15 12x22 14x30 15y44 16x69 17x80 18y52 19y68 21y68 23x84 24y17 27y40 27x102 28y20 29y21 30x28 31x92 31x15 32y10 33y20 33y36 35x16 38x16 39x85 39y78 39x41 39x85 40x59 42y4 43y83 43x44 46y42 48y35 49y95 50y15 50y12 52y26 54x19 55x17 56y30 57x12 59y99 60x32 60y45 60x58 61x7 62x39 62y81 63y68 66y50 66x79 67y30 68y66 69x57 71x99 71y96 72x37 74y88 74x8 75y53 75x33 76y81 77y68 79x51 79y67 79x59 80x71 80y35 81x74 84x100 84y103 84x98 89y61 90x68 94x92 96y29 97x60 99y46 99x83 100x64 101y89 102x8 102x78 Reduced: 1x5 1y6 2x9 2y8 3x1 3y2 4x2 5x4 5y1 6x3 6y3 7x8 7y5 8x7 8y7 9x6 9y4 Euler number: -8 Graph #2: Original: 1x43 2x18 4x35 7y4 10x33 10y33 12y30 12y16 13x29 14y30 15x39 15y29 17x42 18y9 19y41 19y7 20x41 21x40 23x39 23y39 25y16 26x10 29x3 30x20 32y23 33y7 33x39 35x14 36y14 37y22 38y1 38x13 39x42 40y31 41x10 41x37 42x40 43x10 46y10 Reduced: 1x4 2x5 2y5 3x2 3y1 4x6 5x3 5y3 6y2 Euler number: -3 Resultant Graph: 1x25 1y30 2x23 2y27 3x26 4x24 4y29 5y28 6x46 7x47 7y42 8x44 8y38 9x48 10x45 10y40 11y39 12x3 13x4 13y10 14x1 14y6 15x5 16x2 16y8 17x9 18x10 19x7 20x11 21x8 22x20 23x21 23y4 24x18 25x19 25y2 26y1 27x15 28x16 28y16 29x13 29y12 30x14 30y14 31y13 32x41 33x42 33y25 34x39 34y22 35x43 36x40 36y24 37y23 38x35 39x36 39y36 40x33 40y32 41x37 42x34 42y34 43y33 44x30 44y21 45x28 45y17 46x31 47x29 47y19 48y18 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8594975 Graph #1: Original: 1y8 1y88 3y66 4x77 6x123 15y125 15x30 19y138 21x88 21y74 22y22 25x88 28y66 28x37 30x28 30y25 33x140 37y90 37x73 39x89 40x13 40x55 42x71 45x26 45x81 46x36 48x116 49y18 51x25 53x92 54x138 56x97 59x91 61y99 61y85 62y25 62x26 63y127 66x54 67x24 69x159 70y82 71y14 72x116 73y79 74x88 74y23 75y145 76y54 78y66 80x105 81x165 82y64 83x154 83y66 86x8 91y60 92x85 92y15 94y135 94x91 94y70 95y10 95x48 96x36 97y134 98x95 99x67 100y40 101y111 101y127 102y114 102y11 102x94 104y88 105y92 106y106 106y61 110x58 110x68 110y20 111y144 112x1 112x52 116y144 121x79 121y65 122y114 123x16 128x119 130y156 131x58 134x97 136x25 136y71 137y151 138y143 138x62 140x11 142y113 142x7 143y15 144y94 144y140 144x146 145x113 145x56 145x132 146x81 147y125 149y54 150x133 151x153 152x21 153y65 153x41 153x140 154y4 155y125 156y49 156y14 157y50 159y134 160x5 160x161 161x23 161y17 Reduced: 1x2 1y6 2x1 2y2 3x5 3y3 4x3 4y4 5x6 6x4 6y1 Euler number: -5 Graph #2: Original: 1y23 2y2 4y52 4y40 5y28 7x35 8y56 8x89 9x58 12x28 12x16 13x55 14y22 14x59 14x71 15x44 15y14 15x76 17y63 19x69 20y85 23y59 25x75 26x24 27x53 27x81 28y14 28x9 28x57 28x14 31y18 34y84 36x26 36x66 36y82 38y70 38x38 39x21 39y27 41y77 46y31 48y46 48x31 48x32 50x27 50y55 51y27 53x16 54x67 55x69 58x23 61x48 62x44 63y12 64x82 64x71 64y29 66x12 67x30 70y25 75x17 77y81 80x8 80x17 81y65 82y89 83x45 83y28 84y70 86y84 86y30 86x42 89y41 Reduced: 1y9 2x7 3x11 4x13 5x14 5y12 6x6 6y10 7x9 7y14 8x2 8y2 9x4 9y7 10y3 11x5 12y13 13x8 14y5 Euler number: -5 Resultant Graph: 1x19 2x23 3x25 4x26 4y71 5x18 5y70 6x21 6y73 7x14 7y62 8x16 8y67 9y63 10x17 11y72 12x20 13y65 14x6 15x10 16x12 17x13 17y24 18x5 18y22 19x8 19y26 20x1 20y14 21x3 21y19 22y15 23x4 24y25 25x7 26y17 27x57 28x60 29x61 30y37 31x56 31y35 32x59 32y39 33x53 33y27 34x54 34y32 35y28 36x55 37y38 38x58 39y30 40x32 41x36 42x38 43x39 43y50 44x31 44y48 45x34 45y52 46x27 46y40 47x29 47y45 48y41 49x30 50y51 51x33 52y43 53x67 54x72 55x73 56x66 57x69 58x62 59x64 60x65 61x68 62x45 63x49 64x51 65x52 65y11 66x44 66y9 67x47 67y13 68x40 68y1 69x42 69y6 70y2 71y12 72x46 73y4 Euler number: -24 Ratio: 0.96 --------------------------------------------- Iteration 8672866 Graph #1: Original: 2x83 4y57 4x123 6x98 7y102 9x112 10x28 11x64 13x55 14y47 15x105 20y52 21y115 21x92 22x69 23y99 24y106 26y7 26x52 27y115 27x49 27y34 28y24 29x112 31x14 31x73 32x21 33y84 33y51 36x32 36y49 38x45 39x3 39y104 39y35 40x86 43x49 43x40 44y65 44x107 44y54 45y42 45x11 46x108 46x105 47x116 49x111 50x94 52x101 52y122 53x63 53y2 53x63 55x53 56x96 58x114 58y2 59y113 59x25 59y21 61x109 67y83 70y74 71y52 73x17 75y57 77x12 80y24 82y105 84x65 87y44 88y115 89y117 90y59 91y105 92y67 94y98 96y65 97x7 100x6 101x19 102y52 103y31 104x122 104y79 105y88 108y67 109y62 109y82 110x45 111y10 111x66 113y66 113y109 114x108 115y68 115x64 116x58 117y13 118x9 118x61 120x10 120y62 120x13 121x38 122x35 123y67 Reduced: 1x5 2x1 2y5 3x7 3y2 4x3 4y6 5x4 5y7 6x2 6y1 7x6 7y3 Euler number: -6 Graph #2: Original: 1x45 3x24 3y32 9y29 10x65 11x38 12x32 13y59 14y59 18y72 18x50 18y1 20x41 21x66 22x10 23x69 23y65 24y19 29x4 29y47 29x53 33y29 35y68 37y63 38y43 38x14 39x55 39y4 39y11 40y14 40x43 42x32 43x56 43x20 44y56 44x15 45x3 46y20 48y45 48y6 48x16 50x61 51x28 53y60 56y59 57x23 57x55 59y61 60y72 62x25 62y27 65y34 65x57 67x46 69y29 71y60 72x33 Reduced: 1x6 2x3 2y2 3x1 3y5 4x5 4y9 5x8 5y6 6x4 7x9 8y7 9x2 9y3 Euler number: -5 Resultant Graph: 1x40 2x37 3x35 4x39 5x42 6x38 7x43 8x36 9x6 10x3 10y36 11x1 11y39 12x5 12y43 13y40 14x4 15x8 16y41 17x2 17y37 18x58 19x55 19y10 20x53 20y13 21x57 21y17 22x60 22y14 23x56 24x61 25y15 26x54 26y11 27x23 28x20 28y45 29x18 29y48 30x22 30y52 31x25 31y49 32x21 33y50 34x19 34y46 35x32 36x29 36y54 37x27 37y57 38x31 38y61 39x33 39y58 40x30 41x34 42y59 43x28 43y55 44x14 45x11 45y2 46x9 46y5 47x13 47y8 48x16 48y6 49x12 50x17 51y7 52x10 52y3 53x49 54x46 54y19 55x44 55y22 56x48 56y26 57x51 57y23 58x47 59x52 60y24 61x45 61y20 Euler number: -29 Ratio: 0.9666666666666667 --------------------------------------------- Iteration 8677840 Graph #1: Original: 2x20 2x65 3y37 4x15 6y28 8y66 10x23 11x8 11x59 12y40 13y16 13x5 13y11 15x29 16y48 16x19 17y37 18y16 23y5 25y33 26x34 27y57 27x59 27y48 29y9 29y61 30x68 32y37 33y20 34x25 35x10 36y24 36x11 38y41 38y39 38x25 38y37 41x48 45y14 46x48 47x50 47y66 50y23 51x11 53y18 54y67 54y1 54y23 56y33 57y23 58x62 59y41 61y31 62y46 62y31 62y52 63x1 65y50 66y61 67y14 Reduced: 1x3 1y4 2x1 2y1 3x4 3y3 4y2 Euler number: -3 Graph #2: Original: 2x77 2x100 3x21 4y102 5y25 6y24 7x73 7x58 7x43 7y100 8x14 9y56 11y51 13x64 14y45 14x5 16y81 16y9 16x97 22x6 22y105 22x109 23y107 24x54 24y38 25x91 27x106 27y34 28x33 28x23 28x43 29y93 30x12 32x98 34x73 35x1 36x18 36y79 37x97 38y22 38y1 39y103 39x53 40x91 41x103 41x94 42y111 44x22 44y35 46x91 47x113 49x91 49x59 50x89 51x111 51x6 51y25 52x16 52x97 53y73 55y21 56x62 57y52 58y26 58y39 60x14 64y111 64y13 64y83 65y67 67y11 67x26 68y111 69x54 70y94 70y74 72y77 72x59 74y63 78x70 79y20 80y73 80y59 82y50 84x11 86x27 87x18 88y18 88x51 89x39 89x32 90x6 90y112 90y15 92y54 93y106 94y57 95y22 99x43 99x23 100x9 100y6 102y96 102y69 106x113 108y87 110y98 111x100 111y85 Reduced: 2x8 2y2 3x12 3y6 4x14 4y7 5y11 6y5 7x3 7y10 8x4 8y13 9y3 10y8 11x11 11y1 12y9 13x9 13y14 14x1 14y4 Euler number: -7 Resultant Graph: 2x34 2y42 3x38 3y46 4x40 4y47 5y51 6y45 7x29 7y50 8x30 8y53 9y43 10y48 11x37 11y41 12y49 13x35 13y54 14x27 14y44 15x8 15y2 16x12 16y6 17x14 17y7 18y11 19y5 20x3 20y10 21x4 21y13 22y3 23y8 24x11 24y1 25x9 25y14 26x1 26y4 28x48 28y28 29x52 29y32 30x54 30y33 31y37 32y31 33x43 33y36 34x44 34y39 35y29 36y34 37x51 37y27 38y35 39x49 39y40 40x41 40y30 42y15 43y19 44y20 45y24 46y18 47y23 48y25 49y16 50y21 52y22 53y26 54y17 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 8679957 Graph #1: Original: 1y2 2x41 2y3 3y29 5x2 6x16 6y35 7y43 9y43 11x1 11y10 13y34 14x16 15x11 15y20 16x3 16x27 17x30 19x19 20x26 20x27 20x13 22x29 23x38 23y6 25y29 25x35 27x28 28x32 30y13 33y40 34x37 35x1 35y24 35x8 39y38 41y43 42x36 43y27 Reduced: 1x2 2x4 2y1 3x1 3y4 4x3 4y2 Euler number: -3 Graph #2: Original: 1y45 3x53 4x12 4y52 6x43 9y49 9x28 9x22 10x42 10x21 11y40 12y9 12x7 13x24 18y19 18x15 19x4 20x43 20y50 21y23 23y17 24y55 25x49 25y44 27x50 27y54 27x17 28y43 28x14 28x57 29y7 30y46 32x57 32y4 33y46 34y6 35x44 36y36 36x50 43y1 43x13 44x39 45x7 49x19 50x36 52y25 53y21 55x9 57y33 57y45 Reduced: 1y5 2x5 2y1 3x6 4x2 4y3 5x9 5y8 6x3 6y6 7x1 7y2 8x7 8y9 9x4 9y10 10x8 Euler number: -7 Resultant Graph: 2x15 3x16 4x12 5x19 6x13 7x11 8x17 9x14 10x18 11y5 12x34 12y1 13x35 14x31 14y3 15x38 15y8 16x32 16y6 17x30 17y2 18x36 18y9 19x33 19y10 20x37 21y34 22x5 22y30 23x6 24x2 24y32 25x9 25y37 26x3 26y35 27x1 27y31 28x7 28y38 29x4 29y39 30y15 31x25 31y11 32x26 33x22 33y13 34x29 34y18 35x23 35y16 36x21 36y12 37x27 37y19 38x24 38y20 39x28 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 8680561 Graph #1: Original: 3y132 6x140 10y44 10x55 10y60 11y8 13x80 16y143 16x38 17x29 18x124 19y116 21x70 22y103 23y59 25x88 26x54 27y100 36y126 36x9 40x69 40y104 40y145 41x59 43x123 44y93 45y84 45y66 47y28 48x73 49x59 51x9 52y137 53y12 54x133 54y31 55x160 57y11 60x136 61y52 63x106 63y84 63x39 64x127 65y150 66y150 67x67 69x10 70y49 72y55 72x27 74x27 74y118 75x125 75x70 77y156 77x114 77y14 78x87 79y37 81y93 83x144 85x145 86y144 87x77 90y106 91y72 92y136 92x8 93y82 93x19 94x28 94y25 96y100 97y18 98y35 100y157 100x152 102x31 102y58 103y135 106x5 107x129 108x75 108x16 109y64 111x106 111y14 114x19 114y128 117y90 117y63 118y61 119y40 122x91 122y10 122x158 123y21 124x162 124x51 124x134 126x42 128y104 128y78 128y74 129x11 130x105 131y160 131x48 132y68 132y131 133x16 134x68 134y83 135y140 137x146 138x78 141y59 142x118 143x130 144y113 145y18 146x31 146y113 148x119 148y24 148x138 149y14 152y138 152y86 153y158 155y96 158y4 159y42 160x7 161x123 161x15 Reduced: 1y10 2x14 2y4 3x9 3y7 4x8 4y6 5x11 6y3 7x12 7y11 8x3 9y8 10y9 11x4 11y13 12x5 12y2 13x15 13y15 14x13 14y14 15x2 15y12 Euler number: -9 Graph #2: Original: 3x29 4x88 4x44 6y29 8x59 10x39 12y7 12y27 14y77 14x48 15y32 15y58 15x89 16y43 16y20 21y81 23x41 23y72 24x68 26y55 26y8 26y86 28x10 28y82 29y27 31y82 32x84 35y16 36x4 36x41 37y13 37y78 38x61 40x77 41x19 42x12 43y42 46y33 46y73 47x7 52y38 52y18 54y66 54x30 55y76 55y12 59y77 59y50 60y31 62y63 67y25 67x44 69y10 70y62 70x90 70x29 73y67 74x84 74x38 77y54 78y63 79y39 79x48 82y8 85y11 85y79 85x1 86x26 88x50 88x62 90y82 Reduced: 1x4 1y3 2x1 3x2 3y4 4x3 4y1 Euler number: -3 Resultant Graph: 1x45 1y11 2x42 3x43 3y12 4x44 4y9 5x29 5y21 6x27 7y22 8x28 8y20 9x26 9y18 10x23 11x24 11y19 12x25 12y17 13x33 14x30 15x31 16x32 17y7 18y8 19y5 20x37 20y32 21x35 21y33 22x36 22y30 23x8 24x5 25x6 26x7 27y25 28y26 29y23 30x12 30y40 31x9 32x10 32y41 33x11 33y38 34x16 34y3 35x13 36x14 36y4 37x15 37y1 38x49 38y48 39x46 40x47 40y49 41x48 41y46 42x41 42y44 43x38 44x39 44y45 45x40 45y42 46x4 46y36 47x1 48x2 48y37 49x3 49y34 Euler number: -26 Ratio: 0.9629629629629629 --------------------------------------------- Iteration 8688796 Graph #1: Original: 1x11 3x53 4x70 4y40 6y61 6y30 9y2 9y29 9x29 9y67 10x13 11y65 12x7 13y19 13y31 16y70 18y27 20y63 21x46 22x19 24y66 25y34 26x47 27x58 32x5 33x50 37y65 37x1 37y4 40y38 40y67 40x5 41x33 43x57 43x37 45y59 50y60 51y62 52y56 52x24 53x61 53x5 53y51 57y43 62x65 63y43 64x1 65y50 Reduced: 1x4 1y2 2x3 2y3 3y4 4x1 4y1 Euler number: -3 Graph #2: Original: 3y64 4y79 5y7 8y135 9y137 9x1 11y7 12y97 12y88 12x107 15y76 15x1 16x60 17x125 17x133 20y37 20x70 22y134 23y47 25y43 26x108 27y45 27x56 28y83 29x42 29x60 34x86 36y122 37x63 37x56 39y26 40x42 43y102 48x81 48y91 49x74 50y98 50y14 51x114 52y107 52x22 54x102 56y99 57x123 57x32 57x9 59y72 59y46 61x70 63y97 63x8 63y124 65x104 65y122 67y83 67x109 67x127 69x75 71x5 72y111 73x131 74y3 75y54 76x28 76x108 76y118 76x67 77x128 78y105 78x1 79y11 80x76 82y73 83x94 84y78 86x27 87x100 90x111 90y3 91x58 91y26 92y70 92x24 94y34 94y27 97x64 97x42 98x122 98x25 99x77 100x133 103x116 106y81 107y48 108y77 109y104 109y67 110x42 114y4 115y10 118y6 118x88 119x38 122x39 122y90 123y65 124y119 127x21 129x49 130y121 130y62 133x87 134y3 135y131 138y36 140y51 Reduced: 1x8 1y3 2x5 2y9 3x7 4x9 4y8 5x2 5y2 6x1 6y4 7x4 7y5 8y1 9x3 9y6 Euler number: -7 Resultant Graph: 1x35 1y12 2x32 2y18 3x34 4x36 4y17 5x29 5y11 6x28 6y13 7x31 7y14 8y10 9x30 9y15 10x26 10y21 11x23 11y27 12x25 13x27 13y26 14x20 14y20 15x19 15y22 16x22 16y23 17y19 18x21 18y24 19y30 20y36 22y35 23y29 24y31 25y32 26y28 27y33 28x8 28y3 29x5 29y9 30x7 31x9 31y8 32x2 32y2 33x1 33y4 34x4 34y5 35y1 36x3 36y6 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 8690170 Graph #1: Original: 1x22 3y53 3y42 6x33 10y64 12x91 13x144 15x119 16y60 16x39 18y45 19x39 19y76 20y28 20x81 21y47 22x51 23y14 24x14 25y93 26x115 29y4 30y91 34y132 35y28 36y134 38x33 39x127 39y123 40y80 41y65 43x111 44y25 47y113 51y11 51y117 53y128 56y67 56x104 57y27 57x36 59x8 60x137 62x35 64x109 65y136 66x103 66y97 66y75 67y7 68y3 68y115 69x142 69y135 71x27 71x78 73y107 75y114 76x117 79y65 80x129 81y100 82x15 82x83 83x61 86x141 86x117 88x112 89y65 89y77 92x8 92x35 94y57 95x76 97y128 97y114 102y5 102y133 103x41 105x132 106y123 108y49 112y113 113y95 113y106 114x38 117x110 119y95 120y33 120y47 120x52 123y3 123y107 126y14 126y94 127x54 128x38 131x68 133y120 134y66 135y8 135y19 136y54 137x114 137y38 139x37 139y125 139y27 140x76 140y142 141y63 141x121 142x99 142y76 143y64 145x82 145x111 Reduced: 1x2 2x13 3x10 3y9 4y12 5x12 5y7 6x3 6y10 7x11 8y13 9x5 9y4 10x9 10y3 11y6 12x7 12y8 13y5 Euler number: -6 Graph #2: Original: 1y51 2x31 4x73 7x47 8y75 8y65 9x59 13y19 17x46 18x37 21y57 22y77 24x81 24y30 27x66 28y39 29y28 29x72 32x15 32y29 32x9 33x79 34x36 34y28 35x9 39x10 40y78 40y52 40x61 41x61 46x57 47y65 47x10 48y62 50y14 50x57 50x62 51x52 53x16 54y74 55y1 55x53 58x60 58x53 59x54 61y38 62y60 64y40 65x13 65y7 65x29 66y29 70y76 72x35 74x46 75x29 75x34 78x28 79x66 79x10 80x8 Reduced: 1x3 1y2 2x4 2y4 3x1 4x5 4y5 5x2 5y1 Euler number: -4 Resultant Graph: 1x35 1y29 2x36 2y31 3x33 4x37 4y32 5x34 5y28 6y43 7y45 8y46 9y42 10x44 10y20 11x45 11y22 12x42 13x46 13y23 14x43 14y19 15x3 15y34 16x4 16y36 17x5 17y37 18x2 18y33 20x40 21x38 22x41 23x39 24y48 25y49 26y50 27y47 28x12 28y7 29x13 29y8 30x10 31x14 31y9 32x11 32y6 33x30 33y2 34x31 34y4 35x28 36x32 36y5 37x29 37y1 38y16 39y17 40y18 41y15 42x21 42y25 43x22 43y26 44x19 45x23 45y27 46x20 46y24 47y11 48y13 49y14 50y10 Euler number: -23 Ratio: 0.9583333333333334 --------------------------------------------- Iteration 8691517 Graph #1: Original: 1y73 1x82 2x12 3y49 4x46 5x36 7x50 8x69 8y39 8y54 9y45 9x73 10y98 10y47 14x76 16y25 16x1 18y99 18y21 22x23 23y97 23x1 24x28 25x49 26x66 27y3 30y84 30y26 31y87 32x11 32x5 33y50 33y46 36x4 36y69 39x23 40y74 44x101 46x65 48y97 49x60 49y88 53y90 53y33 55x55 56x100 57x28 57y61 57x7 59y86 59y73 60x47 62y9 64y96 67x64 67x35 69x90 74y100 74x18 74y64 74x5 75y100 75y5 76x10 78x30 78y46 79y95 81x80 82x6 83x13 87y65 87x74 87y77 89y88 90y20 91x71 92y10 92y65 93y24 94x38 95y16 96y33 97x54 98y39 99y58 100y68 100x13 100y23 102y5 103y93 103y70 Reduced: 1x5 2x8 2y7 3x1 3y8 4y2 5x4 6x2 6y11 7x6 8x11 9x12 9y4 10x3 10y6 11x7 11y5 12x10 12y10 Euler number: -7 Graph #2: Original: 2y15 2x14 4x15 4x5 5y3 5x6 6y17 6y2 6x13 7y14 7y12 7y16 9y16 11x14 13x4 16y1 17x7 18x11 18y17 Reduced: 1x4 2x1 2y2 3x2 3y1 4x3 4y3 Euler number: -3 Resultant Graph: 1x20 2x17 3x18 4x19 5x32 6x29 6y26 7x30 7y25 8x31 8y27 9x4 10x1 10y30 11x2 11y29 12x3 12y31 14y6 15y5 16y7 17x16 18x13 19x14 20x15 21x8 22x5 22y41 23x6 23y40 24x7 24y42 25x24 26x21 27x22 28x23 29x43 30x40 31x41 32x42 33x44 33y14 34x45 34y13 35x46 35y15 36x12 37x9 37y22 38x10 38y21 39x11 39y23 40x28 41x25 41y18 42x26 42y17 43x27 43y19 44x39 45x36 45y37 46x37 46y36 47x38 47y38 Euler number: -20 Ratio: 0.9523809523809523 --------------------------------------------- Iteration 8726701 Graph #1: Original: 1y37 1x44 3y48 4x15 5y11 6x13 7y26 7y49 9x50 12y56 14y71 14x62 18y54 21x45 21y23 24y33 25x56 25y28 26y65 27x64 28x43 28x41 29x22 30x48 32x53 33x11 34y26 35x70 36y63 36y59 37x8 38x39 39y75 43y62 44x39 44y36 44x12 46y24 48y61 51x6 51x68 53x73 54x35 54x21 54x38 55y64 56y2 57x45 57y55 58x56 58x31 61x26 62y42 62y30 62x30 65x56 65y75 66x17 67y73 69x7 74y78 74x42 74y4 75x61 75x36 75y48 76x47 76x3 77x58 78y50 78x48 78y34 79y59 79x49 79x14 Reduced: 1x7 1y5 2x8 2y7 3x1 3y1 4x3 4y6 5y4 6x2 6y2 7x6 7y8 8x4 8y3 Euler number: -7 Graph #2: Original: 1x4 1x2 2y18 2y22 3y35 4y12 5y20 6x32 6y19 10x36 10x1 10y26 15x3 16x2 17x24 18x20 18y10 19y33 21y29 22x13 22x27 23y38 23x28 24y10 25x1 26y27 27y19 28y28 29y12 29x12 32y23 32y7 34x10 35x14 37x32 38y15 38y18 40x5 Reduced: 1x7 2x6 2y7 3x9 3y4 4x1 4y5 5y9 6y6 7x3 7y3 8y2 9x8 Euler number: -4 Resultant Graph: 1x57 2x56 2y41 3x59 3y38 4x51 4y39 5y40 6x53 6y37 7y36 8x58 9x66 10x65 10y57 11x68 11y54 12x60 12y55 13y59 14y56 15x62 15y53 16y52 17x67 18x6 19x5 19y6 20x8 20y4 21x1 22y8 23y5 24x3 24y3 25y2 26x7 27x24 28x23 28y48 29x26 29y45 30x18 30y46 31y50 32y47 33x20 33y44 34y43 35x25 36y33 37y30 38y31 39y35 40y32 41y29 42x15 43x14 43y15 44x17 44y12 45x9 45y13 46y17 47y14 48x11 48y11 49y10 50x16 51x48 52x47 52y66 53x50 53y63 54x42 54y64 55y68 56y65 57x44 57y62 58y61 59x49 60x33 61x32 61y24 62x35 62y21 63x27 63y22 64y26 65y23 66x29 66y20 67y19 68x34 Euler number: -27 Ratio: 0.9642857142857143 --------------------------------------------- Iteration 8780600 Graph #1: Original: 1x4 1y13 2x29 2x4 2y3 2y6 3y42 4x1 4x26 5y6 5x40 6x12 7x41 7y22 14y10 15x14 16x33 17x36 17x33 17x1 18x9 18x41 20y4 20y34 21y4 23x22 23x24 24x43 25x24 26y18 26x42 29x11 29y11 35y39 35y24 37x15 38x39 39x38 39x38 41x44 44y4 45y1 Reduced: 1x4 1y3 2x3 3x2 3y4 4x1 4y1 Euler number: -3 Graph #2: Original: 2y24 2x69 3x47 3y19 3x77 4y69 8x71 9x30 10x73 13y34 14y78 18y44 18x52 20y4 20x76 21y24 21y71 22y10 23x54 24y62 25y22 27x11 28y37 30y49 31y11 34y16 34x8 34y30 35y40 35x44 36y25 36x4 38x46 38y69 39x30 41x14 43x28 44y51 45y69 46x60 48x15 48y21 48x47 49y39 50x64 50x63 50x80 53y10 55x13 55x47 56y43 56x61 58x4 60x22 62y44 64x71 64y50 66x22 71x78 71y23 71x79 72x43 72y42 73x38 74x7 75y75 75x3 77x40 78x7 79x50 81x48 Reduced: 1x9 2x4 2y6 3y8 4x6 4y5 5x11 5y2 6x8 7x10 7y4 8y1 9x2 9y3 10x5 10y7 11x7 11y11 Euler number: -7 Resultant Graph: 1x39 2x34 2y25 3y27 4x36 4y24 5x41 5y21 6x38 7x40 7y23 8y20 9x32 9y22 10x35 10y26 11x37 11y30 12x23 13x25 14x30 15x27 16x29 17x21 18x24 19x26 20x17 21x13 21y36 22y38 23x15 23y35 24x19 24y32 26x18 26y34 27y31 28x12 28y33 29x14 29y37 30x16 30y41 31x9 32x4 32y6 33y8 34x6 34y5 35x11 35y2 36x8 37x10 37y4 38y1 39x2 39y3 40x5 40y7 41x7 41y11 Euler number: -20 Ratio: 0.9523809523809523 ---------------------------------------------