Magma V2.19-8 Tue Aug 20 2013 23:55:52 on localhost [Seed = 2244210107] Type ? for help. Type -D to quit. Loading file "L14n13356__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13356 geometric_solution 10.95665782 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 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 1 -1 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 0.708538533263 0.964333285513 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 0 -1 0 1 0 1 -4 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659558283512 0.583175372846 3 0 8 3 1023 0132 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 0 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.017834486478 0.698342463560 8 2 2 0 0132 1023 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 1 0 -1 0 0 -1 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 0.017834486478 0.698342463560 9 10 0 11 0132 0132 0132 0132 1 1 0 1 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 0.659558283512 0.583175372846 8 1 9 10 1023 0132 1230 1023 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.346648529770 0.910234589498 11 7 1 9 0132 1230 0132 0132 1 1 0 1 0 1 0 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 0 4 0 0 0 0 -1 1 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435138784509 0.539731122121 10 10 6 1 2103 1023 3012 0132 1 1 1 0 0 -1 1 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 3 -3 0 -3 0 4 -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 0.925428716898 0.884257346967 3 5 11 2 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708538533263 0.964333285513 4 11 6 5 0132 2103 0132 3012 1 1 1 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 -4 4 0 0 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 0.925428716898 0.884257346967 7 4 7 5 1023 0132 2103 1023 1 1 1 0 0 0 0 0 1 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 0 0 0 0 -3 0 3 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 0.435138784509 0.539731122121 6 9 4 8 0132 2103 0132 0132 1 1 1 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 -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 1.346648529770 0.910234589498 ==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_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : d['c_0110_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], '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_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_1100_9' : negation(d['c_1001_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_5']), 'c_1100_6' : negation(d['c_1001_5']), 'c_1100_1' : negation(d['c_1001_5']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_1100_0'], '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'], '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_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_11'], '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_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_0110_10, c_0110_5, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 375796767027/2333518688*c_1001_5^11 - 174078666895/2333518688*c_1001_5^10 + 768742529675/1166759344*c_1001_5^9 + 2602372251455/2333518688*c_1001_5^8 - 1776820901577/2333518688*c_1001_5^7 - 4313229382877/1166759344*c_1001_5^6 - 5296081316345/1166759344*c_1001_5^5 - 5716525344241/2333518688*c_1001_5^4 - 2361414128467/2333518688*c_1001_5^3 - 2201680721507/2333518688*c_1001_5^2 - 1899095526301/2333518688*c_1001_5 - 82317521523/2333518688, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 76876779/145844918*c_1001_5^11 - 73757915/145844918*c_1001_5^10 - 102958875/72922459*c_1001_5^9 - 184277575/145844918*c_1001_5^8 + 539671095/145844918*c_1001_5^7 + 424975639/72922459*c_1001_5^6 + 453257264/72922459*c_1001_5^5 + 363126141/145844918*c_1001_5^4 + 486133071/145844918*c_1001_5^3 + 195090155/145844918*c_1001_5^2 + 293378101/145844918*c_1001_5 + 18107143/145844918, c_0101_0 + 2899485/72922459*c_1001_5^11 - 44384658/72922459*c_1001_5^10 + 31745289/72922459*c_1001_5^9 + 133068959/72922459*c_1001_5^8 + 60829250/72922459*c_1001_5^7 - 287885066/72922459*c_1001_5^6 - 413300935/72922459*c_1001_5^5 - 284395622/72922459*c_1001_5^4 - 101125478/72922459*c_1001_5^3 - 190886935/72922459*c_1001_5^2 - 164213981/72922459*c_1001_5 - 17060762/72922459, c_0101_1 - 49691754/72922459*c_1001_5^11 + 50794683/72922459*c_1001_5^10 + 151304346/72922459*c_1001_5^9 + 77643600/72922459*c_1001_5^8 - 395043337/72922459*c_1001_5^7 - 546140863/72922459*c_1001_5^6 - 395012772/72922459*c_1001_5^5 - 77253377/72922459*c_1001_5^4 - 171523649/72922459*c_1001_5^3 - 45502897/72922459*c_1001_5^2 - 3759225/72922459*c_1001_5 - 25625593/72922459, c_0101_11 + 29125965/145844918*c_1001_5^11 + 73761727/145844918*c_1001_5^10 - 80634708/72922459*c_1001_5^9 - 407767971/145844918*c_1001_5^8 - 9304535/145844918*c_1001_5^7 + 569279666/72922459*c_1001_5^6 + 789903539/72922459*c_1001_5^5 + 1114519169/145844918*c_1001_5^4 + 471155715/145844918*c_1001_5^3 + 511092493/145844918*c_1001_5^2 + 348119489/145844918*c_1001_5 + 25906777/145844918, c_0101_2 - 42272457/72922459*c_1001_5^11 - 2633075/72922459*c_1001_5^10 + 166009910/72922459*c_1001_5^9 + 182503013/72922459*c_1001_5^8 - 194993038/72922459*c_1001_5^7 - 713875057/72922459*c_1001_5^6 - 908481289/72922459*c_1001_5^5 - 795823790/72922459*c_1001_5^4 - 564123207/72922459*c_1001_5^3 - 371086733/72922459*c_1001_5^2 - 128867129/72922459*c_1001_5 - 106764849/72922459, c_0101_5 - 49691754/72922459*c_1001_5^11 + 50794683/72922459*c_1001_5^10 + 151304346/72922459*c_1001_5^9 + 77643600/72922459*c_1001_5^8 - 395043337/72922459*c_1001_5^7 - 546140863/72922459*c_1001_5^6 - 395012772/72922459*c_1001_5^5 - 77253377/72922459*c_1001_5^4 - 171523649/72922459*c_1001_5^3 - 45502897/72922459*c_1001_5^2 - 3759225/72922459*c_1001_5 - 25625593/72922459, c_0110_10 - 32026536/72922459*c_1001_5^11 + 22382778/72922459*c_1001_5^10 + 111651763/72922459*c_1001_5^9 + 77467180/72922459*c_1001_5^8 - 258602706/72922459*c_1001_5^7 - 411265994/72922459*c_1001_5^6 - 338814847/72922459*c_1001_5^5 - 114219670/72922459*c_1001_5^4 - 153605369/72922459*c_1001_5^3 - 101244832/72922459*c_1001_5^2 - 8099061/72922459*c_1001_5 + 9708655/72922459, c_0110_5 + 2899485/72922459*c_1001_5^11 - 44384658/72922459*c_1001_5^10 + 31745289/72922459*c_1001_5^9 + 133068959/72922459*c_1001_5^8 + 60829250/72922459*c_1001_5^7 - 287885066/72922459*c_1001_5^6 - 413300935/72922459*c_1001_5^5 - 284395622/72922459*c_1001_5^4 - 101125478/72922459*c_1001_5^3 - 190886935/72922459*c_1001_5^2 - 164213981/72922459*c_1001_5 - 17060762/72922459, c_1001_5^12 + 1/3*c_1001_5^11 - 4*c_1001_5^10 - 19/3*c_1001_5^9 + 5*c_1001_5^8 + 64/3*c_1001_5^7 + 26*c_1001_5^6 + 15*c_1001_5^5 + 25/3*c_1001_5^4 + 7*c_1001_5^3 + 5*c_1001_5^2 + 1/3*c_1001_5 + 2/3, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB