Magma V2.19-8 Tue Aug 20 2013 16:16:06 on localhost [Seed = 1014866161] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0357 geometric_solution 4.38288671 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 -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 2.913544908709 0.388180601693 0 2 2 0 3201 0132 3201 0132 0 0 0 0 0 1 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 0 0 0 0 1 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 0 0 0 -0.294992343785 0.174530653488 1 1 3 3 2310 0132 0132 2310 0 0 0 0 0 -1 1 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 -1 1 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 1.717201913761 2.331873990512 2 4 5 2 3201 0132 0132 0132 0 0 0 0 0 0 1 -1 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 1 0 -1 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 0.359956301090 0.255488678919 6 3 5 5 0132 0132 3201 2031 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 -1 1 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294624454415 0.803147767806 4 4 6 3 2310 1302 0132 0132 0 0 0 0 0 0 1 -1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294624454415 0.803147767806 4 6 6 5 0132 1230 3012 0132 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 0 0 0 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 1.597425029408 1.097421426365 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : 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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 1077411766/486714761*c_0101_6^12 + 45287612/1757093*c_0101_6^10 - 5042784117/37439597*c_0101_6^8 + 189929838624/486714761*c_0101_6^6 - 431016324469/486714761*c_0101_6^4 + 20480150775/37439597*c_0101_6^2 - 39321384430/486714761, c_0011_0 - 1, c_0011_1 - 802963/2879969*c_0101_6^12 + 33752/10397*c_0101_6^10 - 48879675/2879969*c_0101_6^8 + 141832051/2879969*c_0101_6^6 - 322551800/2879969*c_0101_6^4 + 201347518/2879969*c_0101_6^2 - 35319374/2879969, c_0011_3 - 256485/2879969*c_0101_6^12 + 10921/10397*c_0101_6^10 - 16052153/2879969*c_0101_6^8 + 47517056/2879969*c_0101_6^6 - 109214719/2879969*c_0101_6^4 + 79124911/2879969*c_0101_6^2 - 15657799/2879969, c_0011_5 + 129887/2879969*c_0101_6^13 - 5615/10397*c_0101_6^11 + 8357062/2879969*c_0101_6^9 - 25055655/2879969*c_0101_6^7 + 57543427/2879969*c_0101_6^5 - 44783795/2879969*c_0101_6^3 + 5793196/2879969*c_0101_6, c_0101_0 + 64373/2879969*c_0101_6^13 - 2030/10397*c_0101_6^11 + 1806754/2879969*c_0101_6^9 - 700251/2879969*c_0101_6^7 - 3613906/2879969*c_0101_6^5 + 48948512/2879969*c_0101_6^3 - 21136113/2879969*c_0101_6, c_0101_2 - 1239395/2879969*c_0101_6^13 + 52576/10397*c_0101_6^11 - 76916186/2879969*c_0101_6^9 + 226081083/2879969*c_0101_6^7 - 516784993/2879969*c_0101_6^5 + 353245092/2879969*c_0101_6^3 - 65156576/2879969*c_0101_6, c_0101_6^14 - 12*c_0101_6^12 + 65*c_0101_6^10 - 198*c_0101_6^8 + 463*c_0101_6^6 - 390*c_0101_6^4 + 125*c_0101_6^2 - 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB