Magma V2.19-8 Wed Aug 21 2013 01:02:20 on localhost [Seed = 1309169024] Type ? for help. Type -D to quit. Loading file "L14n14269__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14269 geometric_solution 11.75832240 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 1 0 -1 0 0 1 -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 0 -1 1 -1 0 9 -8 -1 1 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339686273537 0.780032678126 0 5 7 6 0132 0132 0132 0132 0 1 1 1 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 1 0 0 -1 -9 0 0 9 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632202708910 0.746824959692 4 0 6 8 1023 0132 2031 0132 0 0 1 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 0 0 0 0 0 0 0 0 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 -0.071083346816 1.225525704636 7 9 5 0 0132 0132 0132 0132 0 1 1 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 -1 0 1 0 0 9 -9 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632202708910 0.746824959692 5 2 0 10 0132 1023 0132 0132 0 1 1 1 0 0 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 1 -1 0 0 0 8 -8 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120361724107 1.143833579715 4 1 9 3 0132 0132 1302 0132 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339686273537 0.780032678126 7 11 1 2 2103 0132 0132 1302 0 1 0 1 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.047169838164 0.813240396561 3 8 6 1 0132 1023 2103 0132 0 1 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 -1 0 1 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909012787874 0.864678778292 7 10 2 12 1023 2031 0132 0132 0 0 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 0 0 0 0 0 -1 1 1 -1 0 0 -9 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995638575880 0.918845479270 5 3 10 12 2031 0132 2031 1230 0 0 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 0 0 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220993578521 0.486361031915 8 11 4 9 1302 3012 0132 1302 0 1 0 1 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 0 0 0 -8 0 8 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 0.540673562715 0.989264563508 10 6 12 12 1230 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908174260533 0.663799141420 9 11 8 11 3012 1302 0132 0132 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 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 0.415716441458 0.143217934068 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : d['c_0101_12'], 'c_1001_0' : negation(d['c_0110_10']), 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : negation(d['c_0110_10']), 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : 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' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : negation(d['c_1001_11']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_11']), 'c_1100_10' : d['c_0101_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : negation(d['c_0110_10']), 'c_1010_2' : negation(d['c_0110_10']), 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : negation(d['c_1001_11']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_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_0011_10'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], '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' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_2'])})} 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_3, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_9, c_0110_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 513107901655/16786312284*c_1001_11^8 + 1554530796187/16786312284*c_1001_11^7 - 559310199155/16786312284*c_1001_11^6 + 1158770918957/4196578071*c_1001_11^5 - 13479660210133/16786312284*c_1001_11^4 + 23492935195477/16786312284*c_1001_11^3 - 3121914897374/599511153*c_1001_11^2 - 40513379060587/8393156142*c_1001_11 - 17683312915927/16786312284, c_0011_0 - 1, c_0011_10 - 8569275/199837051*c_1001_11^8 + 25688170/199837051*c_1001_11^7 - 8756383/199837051*c_1001_11^6 + 76123710/199837051*c_1001_11^5 - 214145581/199837051*c_1001_11^4 + 377747226/199837051*c_1001_11^3 - 1422708643/199837051*c_1001_11^2 - 1369841057/199837051*c_1001_11 - 232049322/199837051, c_0011_11 - 12121821/199837051*c_1001_11^8 + 42075124/199837051*c_1001_11^7 - 30189288/199837051*c_1001_11^6 + 117127177/199837051*c_1001_11^5 - 364623970/199837051*c_1001_11^4 + 700009920/199837051*c_1001_11^3 - 2293313245/199837051*c_1001_11^2 - 974110642/199837051*c_1001_11 + 206492447/199837051, c_0011_12 - 1, c_0011_3 - 12121821/199837051*c_1001_11^8 + 42075124/199837051*c_1001_11^7 - 30189288/199837051*c_1001_11^6 + 117127177/199837051*c_1001_11^5 - 364623970/199837051*c_1001_11^4 + 700009920/199837051*c_1001_11^3 - 2293313245/199837051*c_1001_11^2 - 974110642/199837051*c_1001_11 + 406329498/199837051, c_0101_0 + 1, c_0101_1 + 37767624/199837051*c_1001_11^8 - 122922572/199837051*c_1001_11^7 + 69723734/199837051*c_1001_11^6 - 357207231/199837051*c_1001_11^5 + 1075439431/199837051*c_1001_11^4 - 1970459579/199837051*c_1001_11^3 + 6897959660/199837051*c_1001_11^2 + 4446842579/199837051*c_1001_11 + 371355490/199837051, c_0101_11 - 5729316/199837051*c_1001_11^8 + 17880359/199837051*c_1001_11^7 - 9030553/199837051*c_1001_11^6 + 58112193/199837051*c_1001_11^5 - 162398124/199837051*c_1001_11^4 + 270224328/199837051*c_1001_11^3 - 974795413/199837051*c_1001_11^2 - 577091063/199837051*c_1001_11 - 3552546/199837051, c_0101_12 - 20090450/199837051*c_1001_11^8 + 63130964/199837051*c_1001_11^7 - 27711153/199837051*c_1001_11^6 + 181539645/199837051*c_1001_11^5 - 549018786/199837051*c_1001_11^4 + 963687856/199837051*c_1001_11^3 - 3528307780/199837051*c_1001_11^2 - 2853780888/199837051*c_1001_11 - 292767010/199837051, c_0101_2 - 17677174/199837051*c_1001_11^8 + 59791608/199837051*c_1001_11^7 - 42012581/199837051*c_1001_11^6 + 175667586/199837051*c_1001_11^5 - 526420645/199837051*c_1001_11^4 + 1006771723/199837051*c_1001_11^3 - 3369651880/199837051*c_1001_11^2 - 1593061691/199837051*c_1001_11 - 78588480/199837051, c_0101_9 + 20090450/199837051*c_1001_11^8 - 63130964/199837051*c_1001_11^7 + 27711153/199837051*c_1001_11^6 - 181539645/199837051*c_1001_11^5 + 549018786/199837051*c_1001_11^4 - 963687856/199837051*c_1001_11^3 + 3528307780/199837051*c_1001_11^2 + 2853780888/199837051*c_1001_11 + 292767010/199837051, c_0110_10 + 1, c_1001_11^9 - 3*c_1001_11^8 + c_1001_11^7 - 9*c_1001_11^6 + 26*c_1001_11^5 - 45*c_1001_11^4 + 169*c_1001_11^3 + 163*c_1001_11^2 + 39*c_1001_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.300 seconds, Total memory usage: 32.09MB