Magma V2.19-8 Tue Aug 20 2013 23:53:01 on localhost [Seed = 274103248] Type ? for help. Type -D to quit. Loading file "L13n4598__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4598 geometric_solution 10.28617105 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 1 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 3 1 -4 1 0 0 -1 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.040006127721 0.797370714756 0 3 6 5 0132 0132 0132 0132 0 1 1 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 -1 0 1 -1 0 0 1 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730683813854 0.689438158453 7 0 4 8 0132 0132 2103 0132 0 1 1 1 0 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 -3 3 0 0 0 0 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567134112915 0.831431645130 9 1 10 0 0132 0132 0132 0132 0 1 1 1 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 1 0 -1 0 0 0 0 7 -7 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791743075685 1.287767659965 2 5 0 10 2103 0321 0132 3201 0 1 0 1 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 -1 4 -3 0 0 1 -1 -3 3 0 0 -6 -1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.226869846452 1.388662540385 6 11 1 4 2103 0132 0132 0321 0 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 -1 1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.226869846452 1.388662540385 7 8 5 1 3120 0132 2103 0132 0 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 0.396186742295 0.586095270980 2 9 9 6 0132 2103 3120 3120 1 1 1 1 0 0 0 0 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 1 -1 0 0 0 0 0 6 -6 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.000000000000 -0.000000000000 9 6 2 11 3120 0132 0132 0213 0 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 0.685274937223 0.933970346854 3 7 7 8 0132 2103 3120 3120 1 1 1 1 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 0 6 -6 0 0 0 0 0 1 -1 0 0 -7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724101241428 0.771663069148 11 4 11 3 0213 2310 3120 0132 0 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 1 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306055145819 0.549722856287 10 5 10 8 0213 0132 3120 0213 0 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306055145819 0.549722856287 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0110_4']), 'c_1010_10' : negation(d['c_0110_4']), '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_0011_10'], '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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0110_4']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : negation(d['c_1001_10']), 'c_1010_4' : negation(d['c_1001_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_3']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], '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_0'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : 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_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0110_4, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1363874213/42353216*c_1001_10^5 + 43833241509/21176608*c_1001_10^4 + 17511677249/42353216*c_1001_10^3 - 19396586423/21176608*c_1001_10^2 + 13711602945/21176608*c_1001_10 + 9818931803/5294152, c_0011_0 - 1, c_0011_10 - 16067/2647076*c_1001_10^5 - 527393/1323538*c_1001_10^4 - 1571425/2647076*c_1001_10^3 + 1724157/1323538*c_1001_10^2 - 191442/661769*c_1001_10 - 85371/661769, c_0011_11 - 16067/2647076*c_1001_10^5 - 527393/1323538*c_1001_10^4 - 1571425/2647076*c_1001_10^3 + 1724157/1323538*c_1001_10^2 - 191442/661769*c_1001_10 - 85371/661769, c_0011_4 - 57679/2647076*c_1001_10^5 - 917340/661769*c_1001_10^4 + 1702817/2647076*c_1001_10^3 + 881733/1323538*c_1001_10^2 - 473410/661769*c_1001_10 - 498575/661769, c_0011_6 - 82117/2647076*c_1001_10^5 - 1320854/661769*c_1001_10^4 - 1395847/2647076*c_1001_10^3 + 399126/661769*c_1001_10^2 + 410996/661769*c_1001_10 - 1112426/661769, c_0101_0 - 127739/5294152*c_1001_10^5 - 2066733/1323538*c_1001_10^4 - 5196733/5294152*c_1001_10^3 + 801614/661769*c_1001_10^2 - 259913/1323538*c_1001_10 - 1576963/1323538, c_0101_1 - 127739/5294152*c_1001_10^5 - 2066733/1323538*c_1001_10^4 - 5196733/5294152*c_1001_10^3 + 801614/661769*c_1001_10^2 - 259913/1323538*c_1001_10 - 1576963/1323538, c_0101_3 + 19753/5294152*c_1001_10^5 + 147670/661769*c_1001_10^4 - 5459517/5294152*c_1001_10^3 - 501331/661769*c_1001_10^2 + 1069791/1323538*c_1001_10 - 409071/1323538, c_0101_7 - 78863/5294152*c_1001_10^5 - 1259705/1323538*c_1001_10^4 + 1000595/5294152*c_1001_10^3 + 1686709/1323538*c_1001_10^2 - 2028725/1323538*c_1001_10 - 1672799/1323538, c_0110_4 - 29555/2647076*c_1001_10^5 - 964365/1323538*c_1001_10^4 - 2229461/2647076*c_1001_10^3 + 684047/1323538*c_1001_10^2 - 479467/661769*c_1001_10 + 282603/661769, c_1001_0 - 1, c_1001_10^6 + 64*c_1001_10^5 - 5*c_1001_10^4 - 32*c_1001_10^3 + 28*c_1001_10^2 + 52*c_1001_10 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB