Magma V2.19-8 Tue Aug 20 2013 17:58:13 on localhost [Seed = 964201836] Type ? for help. Type -D to quit. Loading file "10^2_102__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_102 geometric_solution 13.49171226 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 -1 0 1 -1 0 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 1.081866021594 0.756552357599 0 5 2 6 0132 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.929771775839 0.926146634787 1 0 7 6 2103 0132 0132 2031 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 0 0 0 0 1 0 -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 0.516571227227 0.631091525274 8 9 10 0 0132 0132 0132 0132 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 0 0 0 0 0 0 0 2 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 0.681040681148 0.448136447114 11 12 0 12 0132 0132 0132 1230 0 0 1 0 0 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 0 0 0 0 -1 1 0 0 0 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 0.541182437953 0.797660407365 13 1 6 13 0132 0132 1230 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438830371383 1.188419784432 8 2 1 5 2103 1302 0132 3012 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793617903965 0.668764748834 11 12 9 2 3120 0321 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 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 0.397756086667 1.000066528114 3 13 6 9 0132 1230 2103 3120 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 0 0 0 0 0 0 0 -2 0 0 2 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416878913358 0.681073668486 8 3 13 7 3120 0132 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 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 1.074936133671 0.861009549318 11 12 11 3 2103 0213 0213 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541182437953 0.797660407365 4 10 10 7 0132 0213 2103 3120 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.417545134486 0.858492723923 4 4 10 7 3012 0132 0213 0321 0 0 0 1 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 0 0 -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 0.541840740699 0.941997302859 5 5 8 9 0132 1302 3012 3012 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 -1 0 0 0 0 0 2 0 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726570732645 0.740488289229 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : negation(d['1']), 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_13' : d['c_0011_3'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_6'], 'c_1010_13' : negation(d['c_0101_9']), 'c_1010_12' : d['c_1001_2'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_0_13' : d['1'], 'c_0101_13' : d['c_0011_3'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : negation(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' : negation(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_1100_8' : negation(d['c_0101_9']), 'c_0011_13' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : negation(d['c_0011_7']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : negation(d['c_0110_2']), 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : negation(d['c_0011_7']), 'c_1100_3' : negation(d['c_0011_7']), 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : negation(d['c_0011_7']), 'c_1100_13' : negation(d['c_0011_6']), 's_0_11' : negation(d['1']), 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_2_8' : d['1'], 's_3_3' : negation(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_1001_3'], '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_9'], '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_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : d['c_0101_5'], 'c_0110_12' : negation(d['c_0011_7']), 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 's_3_12' : d['1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_9, c_0110_2, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 558434429290937377/2960281062952200000*c_1001_3^13 + 306788830098162733/1184112425180880000*c_1001_3^12 - 36401361453011333/46254391608628125*c_1001_3^11 - 1051097368289420737/2960281062952200000*c_1001_3^10 + 8060528963207689039/2960281062952200000*c_1001_3^9 - 4298877686330807/236822485036176000*c_1001_3^8 - 275312509849541913/54820019684300000*c_1001_3^7 - 51675215259653147/328920118105800000*c_1001_3^6 + 290015198036443267/46254391608628125*c_1001_3^5 - 1333558010494114091/2960281062952200000*c_1001_3^4 - 7166258947983207689/740070265738050000*c_1001_3^3 + 233505578822172271/740070265738050000*c_1001_3^2 + 3076946009899732153/592056212590440000*c_1001_3 - 15851019433264108783/5920562125904400000, c_0011_0 - 1, c_0011_10 - 157/2556*c_1001_3^13 - 23/1278*c_1001_3^12 + 391/1278*c_1001_3^11 - 116/639*c_1001_3^10 - 2227/2556*c_1001_3^9 + 571/639*c_1001_3^8 + 101/71*c_1001_3^7 - 201/142*c_1001_3^6 - 2849/1278*c_1001_3^5 + 1430/639*c_1001_3^4 + 3853/1278*c_1001_3^3 - 4169/1278*c_1001_3^2 - 5033/2556*c_1001_3 + 1969/1278, c_0011_11 + 1, c_0011_3 + 25547/501615*c_1001_3^13 - 10297/501615*c_1001_3^12 - 27101/100323*c_1001_3^11 + 126508/501615*c_1001_3^10 + 326426/501615*c_1001_3^9 - 421616/501615*c_1001_3^8 - 47324/55735*c_1001_3^7 + 63012/55735*c_1001_3^6 + 159514/100323*c_1001_3^5 - 946561/501615*c_1001_3^4 - 162644/100323*c_1001_3^3 + 1158944/501615*c_1001_3^2 + 118771/501615*c_1001_3 - 121427/100323, c_0011_6 - 20441/668820*c_1001_3^13 + 23371/668820*c_1001_3^12 + 19967/133764*c_1001_3^11 - 45916/167205*c_1001_3^10 - 157073/668820*c_1001_3^9 + 623843/668820*c_1001_3^8 + 26031/222940*c_1001_3^7 - 291943/222940*c_1001_3^6 - 52615/133764*c_1001_3^5 + 1492993/668820*c_1001_3^4 + 12323/133764*c_1001_3^3 - 835561/334410*c_1001_3^2 + 40187/668820*c_1001_3 + 59833/66882, c_0011_7 + 97/785*c_1001_3^13 + 3/785*c_1001_3^12 - 118/157*c_1001_3^11 + 521/1570*c_1001_3^10 + 3217/1570*c_1001_3^9 - 2777/1570*c_1001_3^8 - 5227/1570*c_1001_3^7 + 2088/785*c_1001_3^6 + 802/157*c_1001_3^5 - 5317/1570*c_1001_3^4 - 2219/314*c_1001_3^3 + 4769/785*c_1001_3^2 + 2791/785*c_1001_3 - 404/157, c_0101_0 + 293/33441*c_1001_3^13 + 56/33441*c_1001_3^12 - 413/66882*c_1001_3^11 + 676/33441*c_1001_3^10 - 10261/133764*c_1001_3^9 + 653/66882*c_1001_3^8 + 7023/22294*c_1001_3^7 - 3650/11147*c_1001_3^6 - 67705/133764*c_1001_3^5 + 14365/66882*c_1001_3^4 + 178985/133764*c_1001_3^3 - 11668/33441*c_1001_3^2 - 203207/133764*c_1001_3 + 101107/66882, c_0101_1 - c_1001_3, c_0101_3 - 142021/1003230*c_1001_3^13 - 33317/501615*c_1001_3^12 + 81839/100323*c_1001_3^11 - 79717/501615*c_1001_3^10 - 2391643/1003230*c_1001_3^9 + 799724/501615*c_1001_3^8 + 229911/55735*c_1001_3^7 - 156098/55735*c_1001_3^6 - 583756/100323*c_1001_3^5 + 1732144/501615*c_1001_3^4 + 825386/100323*c_1001_3^3 - 3264836/501615*c_1001_3^2 - 5225603/1003230*c_1001_3 + 381401/100323, c_0101_5 + 169987/2006460*c_1001_3^13 - 2378/501615*c_1001_3^12 - 57604/100323*c_1001_3^11 + 186272/501615*c_1001_3^10 + 3515881/2006460*c_1001_3^9 - 2018663/1003230*c_1001_3^8 - 701229/222940*c_1001_3^7 + 214358/55735*c_1001_3^6 + 1801577/401292*c_1001_3^5 - 2501954/501615*c_1001_3^4 - 706969/100323*c_1001_3^3 + 7836797/1003230*c_1001_3^2 + 2720084/501615*c_1001_3 - 498256/100323, c_0101_9 - 13379/111470*c_1001_3^13 - 5837/222940*c_1001_3^12 + 33705/44588*c_1001_3^11 - 37221/111470*c_1001_3^10 - 256927/111470*c_1001_3^9 + 111596/55735*c_1001_3^8 + 226186/55735*c_1001_3^7 - 197668/55735*c_1001_3^6 - 129395/22294*c_1001_3^5 + 945199/222940*c_1001_3^4 + 394639/44588*c_1001_3^3 - 1561811/222940*c_1001_3^2 - 1320619/222940*c_1001_3 + 92893/22294, c_0110_2 + 14167/200646*c_1001_3^13 + 12409/200646*c_1001_3^12 - 72929/200646*c_1001_3^11 - 7511/100323*c_1001_3^10 + 221761/200646*c_1001_3^9 - 92375/401292*c_1001_3^8 - 92553/44588*c_1001_3^7 + 6737/44588*c_1001_3^6 + 1155389/401292*c_1001_3^5 - 382/100323*c_1001_3^4 - 723875/200646*c_1001_3^3 + 55343/401292*c_1001_3^2 + 903709/401292*c_1001_3 + 19981/200646, c_1001_2 - 142021/1003230*c_1001_3^13 - 33317/501615*c_1001_3^12 + 81839/100323*c_1001_3^11 - 79717/501615*c_1001_3^10 - 2391643/1003230*c_1001_3^9 + 799724/501615*c_1001_3^8 + 229911/55735*c_1001_3^7 - 156098/55735*c_1001_3^6 - 583756/100323*c_1001_3^5 + 1732144/501615*c_1001_3^4 + 825386/100323*c_1001_3^3 - 3264836/501615*c_1001_3^2 - 5225603/1003230*c_1001_3 + 381401/100323, c_1001_3^14 - 6*c_1001_3^12 + 4*c_1001_3^11 + 17*c_1001_3^10 - 20*c_1001_3^9 - 26*c_1001_3^8 + 36*c_1001_3^7 + 34*c_1001_3^6 - 48*c_1001_3^5 - 48*c_1001_3^4 + 72*c_1001_3^3 + 25*c_1001_3^2 - 52*c_1001_3 + 20 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.470 seconds, Total memory usage: 32.09MB