Magma V2.19-8 Tue Aug 20 2013 23:50:40 on localhost [Seed = 2968968072] Type ? for help. Type -D to quit. Loading file "L12n663__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n663 geometric_solution 11.20395583 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 0 0 0 -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 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 0.512472141676 0.954164459584 0 2 6 5 0132 0213 0132 0132 1 0 0 1 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 0 0 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801580149019 1.194650276413 7 0 1 3 0132 0132 0213 0132 1 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 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 0.353881693544 0.281832359610 5 8 2 0 0213 0132 0132 0132 1 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 1 0 -1 -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 0.270894660307 1.377064275408 7 9 0 5 2310 0132 0132 0321 1 0 0 1 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 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 0.631629239328 1.336762666567 3 4 1 8 0213 0321 0132 1230 1 0 0 0 0 -1 0 1 0 0 1 -1 -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 1 0 -1 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.064408627636 1.440866700427 10 9 9 1 0132 0321 1302 0132 1 0 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 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 0.417316567217 0.941425222860 2 10 4 10 0132 3201 3201 2103 1 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164647315465 1.063906049034 5 3 11 11 3012 0132 0132 0321 1 1 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 -1 1 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 0.857295315852 0.808291290273 6 4 11 6 2031 0132 1302 0321 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.171142141461 0.623038201288 6 11 7 7 0132 0213 2310 2103 1 0 1 1 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 -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 0.456549179034 0.581461509908 9 8 10 8 2031 0321 0213 0132 1 1 0 1 0 0 0 0 1 0 -1 0 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 0 1 -1 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382481128911 0.582220753865 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_1001_10'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_8' : d['c_1001_10'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_0011_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1001_0'], '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' : negation(d['1']), 's_3_6' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), '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_0'], 'c_0110_6' : d['c_0101_1'], '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_0101_8'], 'c_0110_10' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : negation(d['c_0011_0']), '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_11, c_0011_3, c_0011_4, c_0011_5, c_0101_1, c_0101_8, c_1001_0, c_1001_1, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1563546003665/796540831068*c_1001_5^11 + 511168329817/199135207767*c_1001_5^10 + 108862919696/66378402589*c_1001_5^9 + 14591097388229/796540831068*c_1001_5^8 + 2949130160/66179863*c_1001_5^7 + 24763844580667/265513610356*c_1001\ _5^6 + 37186332538501/199135207767*c_1001_5^5 + 137787936739901/796540831068*c_1001_5^4 + 140912674668107/796540831068*c_1001_5^3 + 22534940023543/265513610356*c_1001_5^2 + 5432721422519/796540831068*c_1001_5 - 5352063850519/796540831068, c_0011_0 - 1, c_0011_10 + 5798/40877*c_1001_5^11 + 10968/40877*c_1001_5^10 - 234/40877*c_1001_5^9 + 47118/40877*c_1001_5^8 + 170822/40877*c_1001_5^7 + 278707/40877*c_1001_5^6 + 504331/40877*c_1001_5^5 + 522349/40877*c_1001_5^4 + 340444/40877*c_1001_5^3 + 279385/40877*c_1001_5^2 - 12509/40877*c_1001_5 + 15866/40877, c_0011_11 - 12819/40877*c_1001_5^11 - 10155/40877*c_1001_5^10 + 419/40877*c_1001_5^9 - 116708/40877*c_1001_5^8 - 245423/40877*c_1001_5^7 - 440617/40877*c_1001_5^6 - 871359/40877*c_1001_5^5 - 607513/40877*c_1001_5^4 - 786289/40877*c_1001_5^3 - 274923/40877*c_1001_5^2 - 105554/40877*c_1001_5 - 13003/40877, c_0011_3 - 1, c_0011_4 + 5599/40877*c_1001_5^11 + 1503/40877*c_1001_5^10 - 758/40877*c_1001_5^9 + 45312/40877*c_1001_5^8 + 74795/40877*c_1001_5^7 + 162603/40877*c_1001_5^6 + 256592/40877*c_1001_5^5 - 25019/40877*c_1001_5^4 + 167509/40877*c_1001_5^3 - 260025/40877*c_1001_5^2 - 32502/40877*c_1001_5 - 7624/40877, c_0011_5 - 3843/81754*c_1001_5^11 - 442/40877*c_1001_5^10 + 737/40877*c_1001_5^9 - 34541/81754*c_1001_5^8 - 26436/40877*c_1001_5^7 - 93063/81754*c_1001_5^6 - 92778/40877*c_1001_5^5 - 38837/81754*c_1001_5^4 - 122701/81754*c_1001_5^3 + 143071/81754*c_1001_5^2 + 22163/81754*c_1001_5 - 104433/81754, c_0101_1 - 3843/81754*c_1001_5^11 - 442/40877*c_1001_5^10 + 737/40877*c_1001_5^9 - 34541/81754*c_1001_5^8 - 26436/40877*c_1001_5^7 - 93063/81754*c_1001_5^6 - 92778/40877*c_1001_5^5 - 38837/81754*c_1001_5^4 - 122701/81754*c_1001_5^3 + 143071/81754*c_1001_5^2 + 22163/81754*c_1001_5 + 59075/81754, c_0101_8 + 10574/40877*c_1001_5^11 + 8818/40877*c_1001_5^10 - 619/40877*c_1001_5^9 + 94450/40877*c_1001_5^8 + 211283/40877*c_1001_5^7 + 369315/40877*c_1001_5^6 + 702362/40877*c_1001_5^5 + 531682/40877*c_1001_5^4 + 698296/40877*c_1001_5^3 + 251264/40877*c_1001_5^2 + 200127/40877*c_1001_5 + 10339/40877, c_1001_0 - 22679/81754*c_1001_5^11 - 9418/40877*c_1001_5^10 + 442/40877*c_1001_5^9 - 205585/81754*c_1001_5^8 - 220859/40877*c_1001_5^7 - 786251/81754*c_1001_5^6 - 781252/40877*c_1001_5^5 - 1107147/81754*c_1001_5^4 - 1321903/81754*c_1001_5^3 - 512311/81754*c_1001_5^2 - 152033/81754*c_1001_5 - 22163/81754, c_1001_1 + 22679/81754*c_1001_5^11 + 9418/40877*c_1001_5^10 - 442/40877*c_1001_5^9 + 205585/81754*c_1001_5^8 + 220859/40877*c_1001_5^7 + 786251/81754*c_1001_5^6 + 781252/40877*c_1001_5^5 + 1107147/81754*c_1001_5^4 + 1321903/81754*c_1001_5^3 + 512311/81754*c_1001_5^2 + 152033/81754*c_1001_5 + 22163/81754, c_1001_10 + 9171/81754*c_1001_5^11 + 21/997*c_1001_5^10 - 2074/40877*c_1001_5^9 + 82093/81754*c_1001_5^8 + 60122/40877*c_1001_5^7 + 221919/81754*c_1001_5^6 + 215948/40877*c_1001_5^5 + 4539/81754*c_1001_5^4 + 290719/81754*c_1001_5^3 - 169873/81754*c_1001_5^2 - 48169/81754*c_1001_5 + 48317/81754, c_1001_5^12 + c_1001_5^11 + 9*c_1001_5^9 + 21*c_1001_5^8 + 37*c_1001_5^7 + 73*c_1001_5^6 + 57*c_1001_5^5 + 60*c_1001_5^4 + 28*c_1001_5^3 + 4*c_1001_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB