Magma V2.19-8 Wed Aug 21 2013 01:10:50 on localhost [Seed = 2834215237] Type ? for help. Type -D to quit. Loading file "L14n55071__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n55071 geometric_solution 12.48143691 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 0 2 0 0 0 0 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 1 0 -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 0.237243725499 0.550672456782 0 5 2 4 0132 0132 3201 0213 2 0 0 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858720286694 1.452241649998 1 0 5 6 2310 0132 0132 0132 2 2 0 2 0 0 0 0 0 0 -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 -1 0 1 1 0 -2 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 0.582382800850 0.798755102488 7 8 5 0 0132 0132 0321 0132 2 0 0 2 0 0 0 0 -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 0 0 0 0 1 0 0 -1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645850583381 1.573609856184 6 5 0 1 0321 2031 0132 0213 2 0 0 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 -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 0 0 0 0 0.340118497730 1.531667770243 4 1 3 2 1302 0132 0321 0132 2 2 2 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 -2 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582382800850 0.798755102488 4 8 2 7 0321 0213 0132 0213 2 2 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 1 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 0.776782654797 0.543867302316 3 9 10 6 0132 0132 0132 0213 2 0 2 0 0 0 0 0 1 0 -1 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 1 0 -1 -1 0 1 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 0.190568060873 0.682104066273 11 3 6 12 0132 0132 0213 0132 2 0 2 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 -2 2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.190568060873 0.682104066273 11 7 12 11 1023 0132 0213 3012 2 1 0 2 0 0 0 0 1 0 0 -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 0 1 -2 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 0.338739069141 1.028266559069 11 12 12 7 3120 3012 0132 0132 2 0 0 1 0 0 0 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 0 0 0 0 0 1 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338739069141 1.028266559069 8 9 9 10 0132 1023 1230 3120 1 0 0 2 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 2 -1 -1 0 0 0 0 1 0 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338739069141 1.028266559069 10 9 8 10 1230 0213 0132 0132 2 0 1 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 0 0 0 1 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 0.338739069141 1.028266559069 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_12'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_1010_6'], 'c_1100_6' : d['c_1001_12'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_1001_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1010_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_1001_12'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 'c_1100_12' : d['c_1010_6'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_6'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0011_6'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0011_4'], 'c_1100_8' : d['c_1010_6'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_6, c_0101_1, c_0101_11, c_0101_2, c_1001_0, c_1001_12, c_1001_5, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 66809873407849734/223854153117572525*c_1010_6^7 + 33975712667684097/44770830623514505*c_1010_6^6 + 207156163838526659/89541661247029010*c_1010_6^5 - 4606993934008881/89541661247029010*c_1010_6^4 + 81275891450339157/89541661247029010*c_1010_6^3 + 8803945497652658/223854153117572525*c_1010_6^2 - 1679285354285951954/223854153117572525*c_1010_6 + 519853130080119941/447708306235145050, c_0011_0 - 1, c_0011_10 - 90096212/4997832745*c_1010_6^7 + 59338570/999566549*c_1010_6^6 + 162108119/999566549*c_1010_6^5 + 881015897/999566549*c_1010_6^4 + 79421765/999566549*c_1010_6^3 + 244326366/4997832745*c_1010_6^2 + 2937091387/4997832745*c_1010_6 - 10457586764/4997832745, c_0011_11 - c_1010_6, c_0011_12 - 1, c_0011_4 + 47428688/999566549*c_1010_6^7 + 68390016/999566549*c_1010_6^6 + 249791340/999566549*c_1010_6^5 - 386283140/999566549*c_1010_6^4 + 476817219/999566549*c_1010_6^3 + 70062598/999566549*c_1010_6^2 + 217599033/999566549*c_1010_6 + 947920405/999566549, c_0011_6 - 1, c_0101_1 + 5444936/999566549*c_1010_6^7 - 47646760/999566549*c_1010_6^6 - 121662276/999566549*c_1010_6^5 - 540788071/999566549*c_1010_6^4 - 155066269/999566549*c_1010_6^3 - 470262984/999566549*c_1010_6^2 - 196402355/999566549*c_1010_6 + 505037648/999566549, c_0101_11 - 13793224/999566549*c_1010_6^7 - 53613484/999566549*c_1010_6^6 - 236539562/999566549*c_1010_6^5 - 324328626/999566549*c_1010_6^4 - 601344968/999566549*c_1010_6^3 - 115150052/999566549*c_1010_6^2 - 1234556408/999566549*c_1010_6 - 149657740/999566549, c_0101_2 - 55887264/999566549*c_1010_6^7 - 111485424/999566549*c_1010_6^6 - 385814788/999566549*c_1010_6^5 + 158957298/999566549*c_1010_6^4 - 560598843/999566549*c_1010_6^3 - 63409739/999566549*c_1010_6^2 + 339416413/999566549*c_1010_6 - 392494818/999566549, c_1001_0 - 47428688/999566549*c_1010_6^7 - 68390016/999566549*c_1010_6^6 - 249791340/999566549*c_1010_6^5 + 386283140/999566549*c_1010_6^4 - 476817219/999566549*c_1010_6^3 - 70062598/999566549*c_1010_6^2 - 217599033/999566549*c_1010_6 - 947920405/999566549, c_1001_12 + 67961008/999566549*c_1010_6^7 + 167932456/999566549*c_1010_6^6 + 604417852/999566549*c_1010_6^5 + 317490348/999566549*c_1010_6^4 + 1205834380/999566549*c_1010_6^3 + 670285205/999566549*c_1010_6^2 - 187407824/999566549*c_1010_6 + 1522321100/999566549, c_1001_5 - 5444936/999566549*c_1010_6^7 + 47646760/999566549*c_1010_6^6 + 121662276/999566549*c_1010_6^5 + 540788071/999566549*c_1010_6^4 + 155066269/999566549*c_1010_6^3 + 470262984/999566549*c_1010_6^2 + 196402355/999566549*c_1010_6 - 505037648/999566549, c_1010_6^8 + 3/2*c_1010_6^7 + 25/4*c_1010_6^6 - 25/4*c_1010_6^5 + 45/4*c_1010_6^4 - 8*c_1010_6^3 - 47/4*c_1010_6^2 + 18*c_1010_6 - 73/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB