Magma V2.19-8 Tue Aug 20 2013 23:50:41 on localhost [Seed = 2547121326] Type ? for help. Type -D to quit. Loading file "L12n688__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n688 geometric_solution 10.80879637 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 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 -1 0 1 0 0 0 0 -2 1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342090696831 1.063632372236 0 5 7 6 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823115827879 0.748792531243 8 0 7 6 0132 0132 3012 1023 1 1 1 0 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 -1 0 -1 0 1 0 1 -1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503135670664 0.478825749293 6 9 10 0 0132 0132 0132 0132 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 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 0.503135670664 0.478825749293 5 8 0 11 0132 0132 0132 0132 1 1 1 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 -1 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 0.532280959405 0.910658574292 4 1 9 11 0132 0132 0132 0321 1 1 0 1 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 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 0.334628179809 0.923881844008 3 10 1 2 0132 0132 0132 1023 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.467127646326 0.288916564288 11 2 9 1 0321 1230 3201 0132 1 1 0 1 0 0 0 0 0 0 -1 1 0 -1 0 1 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 -2 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.105681550106 0.858810052448 2 4 10 11 0132 0132 1023 1023 1 1 0 1 0 0 0 0 0 0 0 0 1 0 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 1 0 0 -1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342090696831 1.063632372236 7 3 10 5 2310 0132 1302 0132 1 1 1 1 0 0 0 0 -1 0 1 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 -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 0.435901625500 0.438149080577 9 6 8 3 2031 0132 1023 0132 1 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823115827879 0.748792531243 7 5 4 8 0321 0321 0132 1023 1 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 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 0.334628179809 0.923881844008 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_1001_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' : d['c_0101_10'], 's_2_0' : 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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_10']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_7']), 'c_1100_8' : negation(d['c_1100_0']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_3' : 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' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_11']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_3']})} 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_7, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_8, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 8270881983/718504456*c_1100_0^6 - 18607456891/718504456*c_1100_0^5 - 135496739/359252228*c_1100_0^4 + 55742860509/718504456*c_1100_0^3 - 3620363115/21132484*c_1100_0^2 + 7532814903/42264968*c_1100_0 - 50840575647/718504456, c_0011_0 - 1, c_0011_10 + 156975/278059*c_1100_0^6 - 100953/278059*c_1100_0^5 - 132646/278059*c_1100_0^4 + 785794/278059*c_1100_0^3 - 1103404/278059*c_1100_0^2 + 613145/278059*c_1100_0 - 386004/278059, c_0011_11 - 472955/278059*c_1100_0^6 + 367960/278059*c_1100_0^5 + 308083/278059*c_1100_0^4 - 2263512/278059*c_1100_0^3 + 4062996/278059*c_1100_0^2 - 3040197/278059*c_1100_0 + 1461336/278059, c_0011_7 - 187110/278059*c_1100_0^6 + 228395/278059*c_1100_0^5 + 69206/278059*c_1100_0^4 - 1099017/278059*c_1100_0^3 + 1923052/278059*c_1100_0^2 - 1879357/278059*c_1100_0 + 698735/278059, c_0101_0 - 1, c_0101_10 - 128870/278059*c_1100_0^6 + 38612/278059*c_1100_0^5 + 106231/278059*c_1100_0^4 - 378701/278059*c_1100_0^3 + 1036540/278059*c_1100_0^2 - 825754/278059*c_1100_0 + 376597/278059, c_0101_11 - 126840/278059*c_1100_0^6 - 26489/278059*c_1100_0^5 + 196086/278059*c_1100_0^4 - 472571/278059*c_1100_0^3 + 283756/278059*c_1100_0^2 + 96949/278059*c_1100_0 - 204786/278059, c_0101_2 - 149184/278059*c_1100_0^6 - 7953/278059*c_1100_0^5 + 108356/278059*c_1100_0^4 - 685825/278059*c_1100_0^3 + 743649/278059*c_1100_0^2 - 236953/278059*c_1100_0 + 63715/278059, c_0101_3 + 50253/278059*c_1100_0^6 - 114862/278059*c_1100_0^5 - 119949/278059*c_1100_0^4 + 418469/278059*c_1100_0^3 - 461745/278059*c_1100_0^2 + 181781/278059*c_1100_0 + 146414/278059, c_0101_8 + 100506/278059*c_1100_0^6 - 229724/278059*c_1100_0^5 - 239898/278059*c_1100_0^4 + 836938/278059*c_1100_0^3 - 923490/278059*c_1100_0^2 + 363562/278059*c_1100_0 + 14769/278059, c_1001_3 - 121079/278059*c_1100_0^6 - 70294/278059*c_1100_0^5 + 81941/278059*c_1100_0^4 - 278732/278059*c_1100_0^3 + 676785/278059*c_1100_0^2 - 171503/278059*c_1100_0 + 54308/278059, c_1100_0^7 - 12/7*c_1100_0^6 - 1/7*c_1100_0^5 + 39/7*c_1100_0^4 - 89/7*c_1100_0^3 + 93/7*c_1100_0^2 - 52/7*c_1100_0 + 17/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB