Magma V2.19-8 Tue Aug 20 2013 23:48:34 on localhost [Seed = 3086081297] Type ? for help. Type -D to quit. Loading file "L11n64__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n64 geometric_solution 11.51710111 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 0 0 1 0 0 -1 0 1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354312343080 0.713364921167 0 0 5 4 0132 1302 0132 0132 0 0 0 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 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 0.441523635884 1.124424410388 6 0 6 7 0132 0132 3012 0132 0 0 0 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 0 0 0 0 0 0 0 0 0 0 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 0.405859169475 1.060142598083 6 8 9 0 2310 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457021451767 0.905794570041 5 9 1 10 0321 1230 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 5 -4 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.271411830246 0.487261672212 4 9 7 1 0321 0132 2103 0132 0 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 0 0 0 0 0 0 0 0 -1 0 1 0 -5 4 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.246472462514 0.711070980713 2 2 3 11 0132 1230 3201 0132 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 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 0.402287599487 0.717813351625 5 11 2 10 2103 1302 0132 2103 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 0 0 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246781540165 0.694435493532 10 3 11 11 1302 0132 1302 0321 0 1 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 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 0.669109703408 0.993534680306 10 5 4 3 0213 0132 3012 0132 0 0 0 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 -1 1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.098984435364 0.983646960072 9 8 4 7 0213 2031 0132 2103 0 0 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 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 0.822824181472 1.155703889036 8 8 6 7 2031 0321 0132 2031 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669109703408 0.993534680306 ==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_0011_10'], 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0110_11'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0110_11'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_0110_11'], 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : negation(d['c_0011_3']), 's_3_11' : 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' : negation(d['c_0011_5']), '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_10'], 'c_1100_8' : d['c_0101_11'], 'c_1100_5' : negation(d['c_0110_7']), 'c_1100_4' : negation(d['c_0110_7']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0110_7']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_0101_3'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : negation(d['c_0110_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0110_11'], 'c_1010_2' : d['c_0110_11'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : d['c_0011_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'], '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_5']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_11'], '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_0110_11'], 'c_0110_10' : negation(d['c_0101_3']), 'c_0110_0' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0110_7'], 'c_0011_10' : d['c_0011_10']})} 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_0011_5, c_0011_7, c_0101_0, c_0101_11, c_0101_3, c_0110_11, c_0110_7, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 7984311001/7284816*c_1001_4^3 + 2290465081/7284816*c_1001_4^2 - 4669393205/2428272*c_1001_4 - 20138320151/7284816, c_0011_0 - 1, c_0011_10 - 51/176*c_1001_4^3 - 81/176*c_1001_4^2 + 245/176*c_1001_4 + 95/176, c_0011_3 + 17/264*c_1001_4^3 - 20/33*c_1001_4^2 + 183/88*c_1001_4 - 139/66, c_0011_4 + 51/176*c_1001_4^3 + 81/176*c_1001_4^2 - 245/176*c_1001_4 - 271/176, c_0011_5 + 153/176*c_1001_4^3 - 131/176*c_1001_4^2 - 207/176*c_1001_4 - 131/176, c_0011_7 - 17/44*c_1001_4^3 + 133/88*c_1001_4^2 + 1/44*c_1001_4 - 175/88, c_0101_0 - 1, c_0101_11 + 17/528*c_1001_4^3 + 401/528*c_1001_4^2 - 37/176*c_1001_4 - 919/528, c_0101_3 - 17/132*c_1001_4^3 + 40/33*c_1001_4^2 - 51/44*c_1001_4 - 59/33, c_0110_11 + 17/33*c_1001_4^3 - 79/132*c_1001_4^2 - 4/11*c_1001_4 + 53/132, c_0110_7 - 51/88*c_1001_4^3 + 53/44*c_1001_4^2 + 25/88*c_1001_4 - 13/44, c_1001_4^4 - 24/17*c_1001_4^3 - 38/17*c_1001_4^2 + 8/17*c_1001_4 + 73/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.360 seconds, Total memory usage: 32.09MB