Magma V2.19-8 Tue Aug 20 2013 23:53:42 on localhost [Seed = 2378950154] Type ? for help. Type -D to quit. Loading file "L13n6857__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6857 geometric_solution 10.31877867 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 2 1 2 2 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 1 0 -1 -1 0 2 -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 0.029161079749 0.552004555911 0 0 4 4 0132 1302 2103 0132 1 1 2 2 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 1 0 0 -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 0.904564939226 1.806537645212 5 0 7 6 0132 0132 0132 0132 2 1 2 2 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 -1 1 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894453693413 1.048644223277 4 8 8 0 1230 0132 3201 0132 2 1 2 1 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 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 1.529430309303 1.258942806127 1 3 1 9 2103 3012 0132 0132 1 1 1 2 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 0 1 -1 0 0 1 -1 0 -2 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778391544153 0.442581843076 2 7 10 10 0132 3120 0132 0321 0 1 2 2 0 -1 0 1 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 -1 0 1 0 0 -1 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 0.952282469613 0.903268822606 8 8 2 9 3120 0213 0132 2031 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.167844384124 0.621104656903 11 5 11 2 0132 3120 3012 0132 2 1 2 0 0 -1 1 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 -1 2 -1 0 0 0 0 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.047717530387 0.903268822606 3 3 6 6 2310 0132 0213 3120 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.416374955787 0.519814252654 10 6 4 11 0321 1302 0132 0132 1 1 2 1 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 0 1 -1 -1 0 1 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 0.529161079749 0.552004555911 9 5 11 5 0321 0321 2031 0132 0 1 2 1 0 -1 1 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 -1 1 0 -2 0 1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447226846706 0.524322111638 7 7 9 10 0132 1230 0132 1302 1 1 0 2 0 0 1 -1 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 0 1 -1 0 0 0 0 1 0 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547509365930 0.472024306157 ==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_0101_7']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_1001_11']), 'c_1100_6' : negation(d['c_1001_11']), 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_0101_10'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : negation(d['c_0011_6']), 'c_1100_8' : d['c_0011_9'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], '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_7'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0011_6'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(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_3, c_0011_4, c_0011_6, c_0011_9, c_0101_10, c_0101_3, c_0101_7, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 76014304/44105641965*c_1001_11^5 + 1195001/9801253770*c_1001_11^4 - 6628712/572800545*c_1001_11^3 + 9132527/5880752262*c_1001_11^2 - 828848362/44105641965*c_1001_11 + 345116027/88211283930, c_0011_0 - 1, c_0011_10 + 486/17753*c_1001_11^5 + 1290/17753*c_1001_11^4 + 8738/17753*c_1001_11^3 + 12016/17753*c_1001_11^2 + 18488/17753*c_1001_11 + 40810/17753, c_0011_11 - 1, c_0011_3 + 804/17753*c_1001_11^5 - 496/17753*c_1001_11^4 + 10072/17753*c_1001_11^3 - 21107/17753*c_1001_11^2 + 39352/17753*c_1001_11 - 98401/17753, c_0011_4 - 1, c_0011_6 - 7/433*c_1001_11^5 - 56/433*c_1001_11^4 - 92/433*c_1001_11^3 - 672/433*c_1001_11^2 + 99/433*c_1001_11 - 2792/433, c_0011_9 - 972/17753*c_1001_11^5 - 2580/17753*c_1001_11^4 - 17476/17753*c_1001_11^3 - 24032/17753*c_1001_11^2 - 54729/17753*c_1001_11 - 81620/17753, c_0101_10 - 804/17753*c_1001_11^5 + 496/17753*c_1001_11^4 - 10072/17753*c_1001_11^3 + 21107/17753*c_1001_11^2 - 39352/17753*c_1001_11 + 80648/17753, c_0101_3 + 688/17753*c_1001_11^5 + 1607/17753*c_1001_11^4 + 10032/17753*c_1001_11^3 + 14088/17753*c_1001_11^2 + 30848/17753*c_1001_11 + 82904/17753, c_0101_7 - 486/17753*c_1001_11^5 - 1290/17753*c_1001_11^4 - 8738/17753*c_1001_11^3 - 12016/17753*c_1001_11^2 - 36241/17753*c_1001_11 - 40810/17753, c_1001_0 - 804/17753*c_1001_11^5 + 496/17753*c_1001_11^4 - 10072/17753*c_1001_11^3 + 21107/17753*c_1001_11^2 - 39352/17753*c_1001_11 + 80648/17753, c_1001_11^6 + c_1001_11^5 + 19*c_1001_11^4 + 4*c_1001_11^3 + 118*c_1001_11^2 + 3*c_1001_11 + 239 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB