Magma V2.19-8 Tue Aug 20 2013 23:47:40 on localhost [Seed = 3835858609] Type ? for help. Type -D to quit. Loading file "L11a397__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a397 geometric_solution 10.31877867 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 2 0 2 2 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 -1 0 0 0 1 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.970838920251 0.552004555911 0 0 5 4 0132 1302 0132 0132 0 0 2 2 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 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 0.221608455847 0.442581843076 6 0 8 7 0132 0132 0132 0132 2 0 2 2 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 1 0 0 -1 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904981268140 0.944048612314 7 9 5 0 3120 0132 2103 0132 2 0 2 2 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 -1 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 0.771404573356 0.617921120848 7 5 1 10 0132 0132 0132 0132 0 0 2 2 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 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 0.357471902209 1.416072918471 3 4 11 1 2103 0132 0132 0132 0 0 2 2 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 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 -0.952282469613 0.903268822606 2 8 10 10 0132 3120 2103 2031 1 0 2 2 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 -1 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.047717530387 0.903268822606 4 9 2 3 0132 1302 0132 3120 2 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 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 0.931534202167 0.941684071345 11 6 11 2 1023 3120 2103 0132 2 0 2 1 0 -1 1 0 0 0 0 0 -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 -1 2 -1 0 0 0 0 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.047717530387 0.903268822606 9 3 9 7 2310 0132 3201 2031 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.454799280529 0.865118072139 6 6 4 11 2103 1302 0132 0132 0 0 1 2 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 -1 1 0 0 0 0 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 1.047717530387 0.903268822606 8 8 10 5 2103 1023 0132 0132 0 0 2 1 0 0 0 0 0 0 -1 1 -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 -2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552773153294 0.524322111638 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_9']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_9']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_0101_11'], 's_3_11' : negation(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_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_0101_3']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : negation(d['c_0101_9']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_3']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_0'], '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_3'], 'c_0110_10' : d['c_0101_11'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_9'], 'c_0101_8' : d['c_0101_11'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_9']), 'c_0110_8' : d['c_0101_2'], '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_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 835959998611/4906024240128*c_1100_1^6 + 483761468593/204417676672*c_1100_1^5 + 981189679351/102208838336*c_1100_1^4 + 1774981529837/288589661184*c_1100_1^3 - 14388296996057/1226506060032*c_1100_1^2 - 9086509461307/613253030016*c_1100_1 - 7498601815345/1635341413376, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 - 58/57*c_1100_1^6 + 761/57*c_1100_1^5 + 1278/19*c_1100_1^4 + 5242/57*c_1100_1^3 + 1682/57*c_1100_1^2 - 679/57*c_1100_1 - 332/57, c_0011_4 - 62/57*c_1100_1^6 + 689/57*c_1100_1^5 + 1906/19*c_1100_1^4 + 13955/57*c_1100_1^3 + 4925/19*c_1100_1^2 + 2282/19*c_1100_1 + 1228/57, c_0101_0 - 1, c_0101_1 + 11/19*c_1100_1^6 - 413/57*c_1100_1^5 - 811/19*c_1100_1^4 - 1479/19*c_1100_1^3 - 3541/57*c_1100_1^2 - 1438/57*c_1100_1 - 235/57, c_0101_10 - 17/57*c_1100_1^6 + 283/57*c_1100_1^5 + 104/19*c_1100_1^4 - 2029/57*c_1100_1^3 - 4238/57*c_1100_1^2 - 2594/57*c_1100_1 - 571/57, c_0101_11 - 24/19*c_1100_1^6 + 309/19*c_1100_1^5 + 1652/19*c_1100_1^4 + 2726/19*c_1100_1^3 + 1836/19*c_1100_1^2 + 538/19*c_1100_1 + 50/19, c_0101_2 + 55/57*c_1100_1^6 - 644/57*c_1100_1^5 - 1548/19*c_1100_1^4 - 10207/57*c_1100_1^3 - 9746/57*c_1100_1^2 - 4208/57*c_1100_1 - 721/57, c_0101_3 - 127/57*c_1100_1^6 + 1571/57*c_1100_1^5 + 3200/19*c_1100_1^4 + 18385/57*c_1100_1^3 + 15254/57*c_1100_1^2 + 5822/57*c_1100_1 + 871/57, c_0101_9 - 73/57*c_1100_1^6 + 303/19*c_1100_1^5 + 1809/19*c_1100_1^4 + 10342/57*c_1100_1^3 + 8995/57*c_1100_1^2 + 4051/57*c_1100_1 + 256/19, c_1100_1^7 - 12*c_1100_1^6 - 80*c_1100_1^5 - 175*c_1100_1^4 - 184*c_1100_1^3 - 104*c_1100_1^2 - 31*c_1100_1 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB