Magma V2.19-8 Tue Aug 20 2013 23:52:22 on localhost [Seed = 2378950307] Type ? for help. Type -D to quit. Loading file "L13n2650__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2650 geometric_solution 10.72985423 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 3201 0132 0 1 0 1 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 1 1 -2 0 0 1 -1 0 -1 0 1 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578408247624 0.763044909798 0 4 5 4 0132 0132 0132 1302 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 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172796074498 0.847266887020 0 0 6 6 2310 0132 2310 0132 0 1 1 0 0 0 0 0 1 0 0 -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 -1 1 0 6 0 0 -6 -1 -6 0 7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.369096571616 0.832297346347 7 8 0 9 0132 0132 0132 0132 0 1 1 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 0 2 -2 -1 0 1 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 0.439741337729 0.404749489728 9 1 1 6 3201 0132 2031 3120 1 1 0 1 0 1 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 0 0 0 0 7 0 -7 -7 0 0 7 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768902593493 1.133134423210 10 11 9 1 0132 0132 2103 0132 1 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 7 -7 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 -1.151674425766 1.214068955146 4 2 2 11 3120 3201 0132 3012 0 1 0 1 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 -7 0 6 1 1 -1 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578408247624 0.763044909798 3 9 10 11 0132 2103 0132 0213 1 1 0 1 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 0 0 -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 1.227645244127 0.765989255961 10 3 10 11 1230 0132 3120 1230 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 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 0.597838113997 0.647158258169 5 7 3 4 2103 2103 0132 2310 0 1 1 1 0 -1 1 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 -1 2 -1 0 0 0 0 -7 0 0 7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667155204698 0.693016046890 5 8 8 7 0132 3012 3120 0132 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 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 0.229812601421 0.833725926230 8 5 6 7 3012 0132 1230 0213 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 -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 0.175221044917 0.779547704509 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_4'], 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_3_10' : 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_0101_1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_0011_11' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_1']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_0'], 'c_1100_11' : d['c_0110_4'], 'c_1100_10' : d['c_0011_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_4'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : negation(d['c_0110_4']), 'c_1010_8' : d['c_0101_11'], 's_3_1' : negation(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' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : negation(d['c_0101_1']), 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], '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_5'], 'c_0101_8' : negation(d['c_0011_9']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_4']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], '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_3, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_4, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 2606/7*c_0110_4^8 - 8551/28*c_0110_4^7 + 62329/28*c_0110_4^6 - 61475/28*c_0110_4^5 + 80545/28*c_0110_4^4 - 89057/28*c_0110_4^3 - 44257/14*c_0110_4^2 + 25581/28*c_0110_4 - 6989/28, c_0011_0 - 1, c_0011_10 - 78/287*c_0110_4^8 + 109/287*c_0110_4^7 - 484/287*c_0110_4^6 + 715/287*c_0110_4^5 - 787/287*c_0110_4^4 + 801/287*c_0110_4^3 + 426/287*c_0110_4^2 - 1165/287*c_0110_4 + 276/287, c_0011_3 - 94/287*c_0110_4^8 + 124/287*c_0110_4^7 - 598/287*c_0110_4^6 + 766/287*c_0110_4^5 - 919/287*c_0110_4^4 + 877/287*c_0110_4^3 + 690/287*c_0110_4^2 - 933/287*c_0110_4 + 156/287, c_0011_6 + 1, c_0011_9 - 12/287*c_0110_4^8 + 83/287*c_0110_4^7 - 229/287*c_0110_4^6 + 684/287*c_0110_4^5 - 1247/287*c_0110_4^4 + 1779/287*c_0110_4^3 - 2098/287*c_0110_4^2 + 1035/287*c_0110_4 - 90/287, c_0101_0 - 1, c_0101_1 - c_0110_4, c_0101_11 - 100/287*c_0110_4^8 + 22/287*c_0110_4^7 - 569/287*c_0110_4^6 + 247/287*c_0110_4^5 - 538/287*c_0110_4^4 + 475/287*c_0110_4^3 + 1076/287*c_0110_4^2 + 15/287*c_0110_4 - 176/287, c_0101_2 + 111/287*c_0110_4^8 - 122/287*c_0110_4^7 + 755/287*c_0110_4^6 - 874/287*c_0110_4^5 + 1418/287*c_0110_4^4 - 1460/287*c_0110_4^3 - 253/287*c_0110_4^2 + 256/287*c_0110_4 - 459/287, c_0101_4 - c_0110_4 + 1, c_0101_5 + 4/41*c_0110_4^8 - 14/41*c_0110_4^7 + 49/41*c_0110_4^6 - 105/41*c_0110_4^5 + 197/41*c_0110_4^4 - 265/41*c_0110_4^3 + 262/41*c_0110_4^2 - 181/41*c_0110_4 + 30/41, c_0110_4^9 - 2*c_0110_4^8 + 7*c_0110_4^7 - 13*c_0110_4^6 + 15*c_0110_4^5 - 18*c_0110_4^4 + 2*c_0110_4^3 + 12*c_0110_4^2 - 4*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.320 seconds, Total memory usage: 32.09MB