Magma V2.19-8 Wed Aug 21 2013 00:52:31 on localhost [Seed = 2463401782] Type ? for help. Type -D to quit. Loading file "L12a442__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a442 geometric_solution 12.07467650 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 0132 1 0 1 1 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 0 0 0 0 0 1 -1 0 -1 0 2 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333711093108 1.697941197180 0 0 4 3 0132 1230 0132 1230 0 0 1 1 0 -1 1 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 -2 2 0 1 0 0 -1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200270477428 0.510360431769 5 0 6 5 0132 0132 0132 2031 1 1 1 1 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439560180948 0.643714465369 1 4 0 7 3012 3012 0132 0132 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579433914680 0.440654928543 3 7 8 1 1230 1302 0132 0132 0 0 1 1 0 0 1 -1 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 2 -2 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 1.271560276399 1.395940709180 2 2 9 10 0132 1302 0132 0132 1 1 1 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276541162239 1.059470213979 8 7 11 2 0321 2103 0132 0132 1 1 1 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 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.134632278814 0.552889480655 12 6 3 4 0132 2103 0132 2031 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 0 0 0 0 0 0 0 0 -1 0 1 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 0.286234954237 0.586269823205 6 11 12 4 0321 2031 1230 0132 0 0 1 1 0 0 1 -1 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 -2 0 0 0 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 0.427146795107 0.866391957615 12 12 11 5 1302 3201 3012 0132 1 1 1 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 0 0 0 0 0 0 0 0 -1 1 12 -13 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791488012536 0.769421433207 11 10 5 10 2103 1302 0132 2031 1 1 1 1 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 0.204493131855 1.017587269375 8 9 10 6 1302 1230 2103 0132 1 1 0 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527928067452 1.791536980902 7 9 9 8 0132 2031 2310 3012 1 0 0 1 0 -1 1 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 0 0 0 0 -12 13 -1 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 0 0 0 0.328113905917 1.210759509882 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0110_10'], 'c_1001_12' : negation(d['c_0101_5']), 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_8']), 'c_0101_10' : negation(d['c_0011_8']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0110_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_10']), 'c_1100_10' : negation(d['c_0011_10']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_0101_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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_9'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], '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_0110_11' : d['c_0011_9'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : negation(d['c_0011_8']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : negation(d['c_0011_9']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0011_3'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : negation(d['c_0011_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0011_9, c_0101_5, c_0101_7, c_0110_10, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 12887933439/688882942*c_1001_1^19 + 173147653295/501005776*c_1001_1^18 - 8887701488037/2755531768*c_1001_1^17 + 110095280672151/5511063536*c_1001_1^16 - 62941778458419/688882942*c_1001_1^15 + 1797042374230823/5511063536*c_1001_1^14 - 2583870194300805/2755531768*c_1001_1^13 + 6105363935665413/2755531768*c_1001_1^12 - 136277938999051/31312861*c_1001_1^11 + 19700969137142453/2755531768*c_1001_1^10 - 13555521066337801/1377765884*c_1001_1^9 + 62358086861360033/5511063536*c_1001_1^8 - 7444796622124575/688882942*c_1001_1^7 + 2124733718980963/250502888*c_1001_1^6 - 7418166486246455/1377765884*c_1001_1^5 + 7443153613662049/2755531768*c_1001_1^4 - 356263135670245/344441471*c_1001_1^3 + 23127488516777/81045052*c_1001_1^2 - 17496784362461/344441471*c_1001_1 + 24074561166137/5511063536, c_0011_0 - 1, c_0011_10 - c_1001_1^7 + 7*c_1001_1^6 - 25*c_1001_1^5 + 55*c_1001_1^4 - 79*c_1001_1^3 + 73*c_1001_1^2 - 39*c_1001_1 + 9, c_0011_11 - c_1001_1^3 + 2*c_1001_1^2 - 3*c_1001_1 + 1, c_0011_12 - c_1001_1^4 + 3*c_1001_1^3 - 6*c_1001_1^2 + 5*c_1001_1 - 2, c_0011_3 - 1, c_0011_4 - c_1001_1 + 1, c_0011_6 + c_1001_1^2 - c_1001_1 + 1, c_0011_8 - c_1001_1^17 + 17*c_1001_1^16 - 144*c_1001_1^15 + 800*c_1001_1^14 - 3243*c_1001_1^13 + 10127*c_1001_1^12 - 25116*c_1001_1^11 + 50336*c_1001_1^10 - 82232*c_1001_1^9 + 109744*c_1001_1^8 - 119232*c_1001_1^7 + 104512*c_1001_1^6 - 72801*c_1001_1^5 + 39397*c_1001_1^4 - 16012*c_1001_1^3 + 4624*c_1001_1^2 - 852*c_1001_1 + 76, c_0011_9 + c_1001_1^19 - 19*c_1001_1^18 + 181*c_1001_1^17 - 1139*c_1001_1^16 + 5276*c_1001_1^15 - 19028*c_1001_1^14 + 55212*c_1001_1^13 - 131508*c_1001_1^12 + 260265*c_1001_1^11 - 430771*c_1001_1^10 + 597493*c_1001_1^9 - 693187*c_1001_1^8 + 668774*c_1001_1^7 - 531170*c_1001_1^6 + 342014*c_1001_1^5 - 174546*c_1001_1^4 + 68245*c_1001_1^3 - 19335*c_1001_1^2 + 3569*c_1001_1 - 327, c_0101_5 - c_1001_1^16 + 16*c_1001_1^15 - 129*c_1001_1^14 + 686*c_1001_1^13 - 2670*c_1001_1^12 + 8016*c_1001_1^11 - 19113*c_1001_1^10 + 36778*c_1001_1^9 - 57531*c_1001_1^8 + 73192*c_1001_1^7 - 75293*c_1001_1^6 + 61854*c_1001_1^5 - 39752*c_1001_1^4 + 19352*c_1001_1^3 - 6769*c_1001_1^2 + 1538*c_1001_1 - 175, c_0101_7 - c_1001_1 + 1, c_0110_10 - c_1001_1^15 + 15*c_1001_1^14 - 113*c_1001_1^13 + 559*c_1001_1^12 - 2013*c_1001_1^11 + 5555*c_1001_1^10 - 12077*c_1001_1^9 + 20979*c_1001_1^8 - 29253*c_1001_1^7 + 32635*c_1001_1^6 - 28805*c_1001_1^5 + 19707*c_1001_1^4 - 10109*c_1001_1^3 + 3683*c_1001_1^2 - 861*c_1001_1 + 99, c_1001_1^20 - 20*c_1001_1^19 + 201*c_1001_1^18 - 1338*c_1001_1^17 + 6577*c_1001_1^16 - 25264*c_1001_1^15 + 78412*c_1001_1^14 - 200776*c_1001_1^13 + 429686*c_1001_1^12 - 774504*c_1001_1^11 + 1179945*c_1001_1^10 - 1519434*c_1001_1^9 + 1648468*c_1001_1^8 - 1496880*c_1001_1^7 + 1125790*c_1001_1^6 - 690612*c_1001_1^5 + 337952*c_1001_1^4 - 127568*c_1001_1^3 + 35149*c_1001_1^2 - 6362*c_1001_1 + 578 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.330 seconds, Total memory usage: 32.09MB