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Loading file "K12n850__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n850 geometric_solution 8.93345643 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085328207133 0.908458399548 0 5 6 5 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.135111795873 0.490944339490 7 0 6 8 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.393170625171 1.020346769478 6 7 8 0 1023 0321 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364701571696 0.748974717137 9 9 0 7 0132 1302 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 1 13 -14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085328207133 0.908458399548 8 1 9 1 0132 0132 0321 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239535004648 1.344778759026 2 3 9 1 2031 1023 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.808065841508 1.352701916933 2 8 4 3 0132 0132 1230 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658635723034 0.776487840010 5 7 2 3 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734621248714 0.513233523611 4 6 5 4 0132 1230 0321 2031 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 -13 -1 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550370149365 0.546631468195 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_0'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_7'], 'c_1100_8' : d['c_0011_4'], 'c_1100_5' : d['c_1001_9'], 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_1001_9']), 'c_1100_1' : negation(d['c_1001_9']), 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : d['c_0011_4'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_1001_7'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : d['c_0101_7'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_1001_0, c_1001_7, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1292*c_1001_0*c_1001_9 - 5473*c_1001_0 + 1597/2*c_1001_9 - 6765/2, c_0011_0 - 1, c_0011_3 + 1/2*c_1001_0*c_1001_9 - 3/2*c_1001_0 + 1/2*c_1001_9 - 1/2, c_0011_4 - 1/2*c_1001_9 - 1/2, c_0101_0 - c_1001_0 - 1, c_0101_1 - 1/2*c_1001_9 + 1/2, c_0101_5 + 1/2*c_1001_0*c_1001_9 - 3/2*c_1001_0 + 1/2*c_1001_9 - 1/2, c_0101_7 + 1/2*c_1001_0*c_1001_9 - 3/2*c_1001_0 - 1, c_1001_0^2 + c_1001_0 + 3/2*c_1001_9 + 1/2, c_1001_7 - 1/2*c_1001_9 + 1/2, c_1001_9^2 - 4*c_1001_9 - 1 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_1001_0, c_1001_7, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1374441867/597872*c_1001_9^10 - 16750797895/597872*c_1001_9^9 + 26554759171/149468*c_1001_9^8 - 430831878341/597872*c_1001_9^7 + 1147126385557/597872*c_1001_9^6 - 482749284741/149468*c_1001_9^5 + 940227395357/298936*c_1001_9^4 - 810595501599/597872*c_1001_9^3 - 83511821103/597872*c_1001_9^2 + 63757053387/298936*c_1001_9 + 7322322511/298936, c_0011_0 - 1, c_0011_3 + 2858/37367*c_1001_9^10 - 3503/6794*c_1001_9^9 + 105845/74734*c_1001_9^8 + 69148/37367*c_1001_9^7 - 2222581/74734*c_1001_9^6 + 7791991/74734*c_1001_9^5 - 564337/3397*c_1001_9^4 + 355416/3397*c_1001_9^3 + 932055/74734*c_1001_9^2 - 1990819/74734*c_1001_9 - 176498/37367, c_0011_4 - 12075/74734*c_1001_9^10 + 13283/6794*c_1001_9^9 - 460545/37367*c_1001_9^8 + 3711925/74734*c_1001_9^7 - 9793989/74734*c_1001_9^6 + 8125203/37367*c_1001_9^5 - 699912/3397*c_1001_9^4 + 555061/6794*c_1001_9^3 + 1131895/74734*c_1001_9^2 - 513442/37367*c_1001_9 - 94760/37367, c_0101_0 + 29985/74734*c_1001_9^10 - 159977/37367*c_1001_9^9 + 165469/6794*c_1001_9^8 - 6507643/74734*c_1001_9^7 + 7190883/37367*c_1001_9^6 - 17393963/74734*c_1001_9^5 + 3774854/37367*c_1001_9^4 + 4336329/74734*c_1001_9^3 - 2083248/37367*c_1001_9^2 - 102933/74734*c_1001_9 + 8598/3397, c_0101_1 + 9881/74734*c_1001_9^10 - 54381/37367*c_1001_9^9 + 637713/74734*c_1001_9^8 - 2378951/74734*c_1001_9^7 + 2837768/37367*c_1001_9^6 - 747249/6794*c_1001_9^5 + 3415798/37367*c_1001_9^4 - 3405375/74734*c_1001_9^3 + 817389/37367*c_1001_9^2 - 547491/74734*c_1001_9 - 124563/37367, c_0101_5 + 14254/37367*c_1001_9^10 - 354551/74734*c_1001_9^9 + 206673/6794*c_1001_9^8 - 4656870/37367*c_1001_9^7 + 25051973/74734*c_1001_9^6 - 42541031/74734*c_1001_9^5 + 20698218/37367*c_1001_9^4 - 8569952/37367*c_1001_9^3 - 2683147/74734*c_1001_9^2 + 2921103/74734*c_1001_9 + 20247/3397, c_0101_7 - 2858/37367*c_1001_9^10 + 3503/6794*c_1001_9^9 - 105845/74734*c_1001_9^8 - 69148/37367*c_1001_9^7 + 2222581/74734*c_1001_9^6 - 7791991/74734*c_1001_9^5 + 564337/3397*c_1001_9^4 - 355416/3397*c_1001_9^3 - 932055/74734*c_1001_9^2 + 1990819/74734*c_1001_9 + 176498/37367, c_1001_0 + 66323/74734*c_1001_9^10 - 400022/37367*c_1001_9^9 + 5041955/74734*c_1001_9^8 - 20327421/74734*c_1001_9^7 + 26873809/37367*c_1001_9^6 - 8157377/6794*c_1001_9^5 + 43292683/37367*c_1001_9^4 - 36722683/74734*c_1001_9^3 - 2168876/37367*c_1001_9^2 + 5939389/74734*c_1001_9 + 401065/37367, c_1001_7 - 3145/74734*c_1001_9^10 + 2130/3397*c_1001_9^9 - 329723/74734*c_1001_9^8 + 1466101/74734*c_1001_9^7 - 2147632/37367*c_1001_9^6 + 7997105/74734*c_1001_9^5 - 388171/3397*c_1001_9^4 + 364337/6794*c_1001_9^3 + 222641/37367*c_1001_9^2 - 793489/74734*c_1001_9 - 21122/37367, c_1001_9^11 - 12*c_1001_9^10 + 75*c_1001_9^9 - 299*c_1001_9^8 + 776*c_1001_9^7 - 1249*c_1001_9^6 + 1106*c_1001_9^5 - 335*c_1001_9^4 - 170*c_1001_9^3 + 81*c_1001_9^2 + 28*c_1001_9 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB