Magma V2.19-8 Wed Aug 21 2013 01:02:14 on localhost [Seed = 2664989989] Type ? for help. Type -D to quit. Loading file "L14n14228__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14228 geometric_solution 11.71792797 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 1 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 1 0 -1 0 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977272507702 1.097264628367 0 4 6 5 0132 0132 0132 0132 0 1 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 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 0.631438902402 0.444919067687 0 0 8 7 3012 0132 0132 0132 1 1 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 1 0 -1 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.018868721664 0.910966357096 9 5 10 0 0132 2310 0132 0132 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 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 0.195776538399 0.747822867457 8 1 7 10 2031 0132 2031 2031 0 1 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 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 1.034550444984 0.408659414399 9 11 1 3 2103 0132 0132 3201 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494570379274 0.560467878739 8 10 12 1 0132 2031 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518313119354 1.216123276000 11 9 2 4 3201 0321 0132 1302 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 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 0.267631815817 0.531438009058 6 12 4 2 0132 1023 1302 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 -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 -0.296584939599 0.695880221606 3 12 5 7 0132 3201 2103 0321 1 1 0 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 0.498970987936 1.180944450069 6 4 11 3 1302 1302 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -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 -0.152871329303 0.700751579585 10 5 12 7 2103 0132 0213 2310 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 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 0.860094024015 0.969825438378 8 11 9 6 1023 0213 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518313119354 1.216123276000 ==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' : d['c_0011_11'], 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : negation(d['c_0110_7']), 'c_1001_4' : negation(d['c_0110_7']), 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : negation(d['c_1001_11']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : negation(d['c_0110_7']), 'c_1010_10' : negation(d['c_1001_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_11'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0011_12'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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_12' : 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' : negation(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' : negation(d['1']), 's_0_1' : negation(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' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1001_11'], 'c_1100_7' : d['c_0101_4'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_11']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : negation(d['c_0110_7']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_0101_4'], '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' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_3']), '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_3']), 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), '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_7']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_12' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_0']), 's_2_9' : d['1']})} 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_0011_7, c_0101_0, c_0101_2, c_0101_4, c_0101_7, c_0110_5, c_0110_7, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 29617/272*c_1001_11^5 - 73675/204*c_1001_11^4 + 267437/680*c_1001_11^3 - 1065319/4080*c_1001_11^2 + 234703/1360*c_1001_11 + 168337/4080, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 58/17*c_1001_11^5 + 155/17*c_1001_11^4 - 904/119*c_1001_11^3 + 628/119*c_1001_11^2 - 409/119*c_1001_11 - 205/119, c_0011_12 - 61/34*c_1001_11^5 + 101/17*c_1001_11^4 - 619/119*c_1001_11^3 + 443/238*c_1001_11^2 - 305/238*c_1001_11 - 271/238, c_0011_3 - 63/17*c_1001_11^5 + 427/34*c_1001_11^4 - 457/34*c_1001_11^3 + 267/34*c_1001_11^2 - 96/17*c_1001_11 - 73/34, c_0011_7 + 63/17*c_1001_11^5 - 427/34*c_1001_11^4 + 457/34*c_1001_11^3 - 267/34*c_1001_11^2 + 79/17*c_1001_11 + 73/34, c_0101_0 + 301/34*c_1001_11^5 - 987/34*c_1001_11^4 + 1019/34*c_1001_11^3 - 326/17*c_1001_11^2 + 453/34*c_1001_11 + 82/17, c_0101_2 + 24/17*c_1001_11^5 - 157/34*c_1001_11^4 + 1179/238*c_1001_11^3 - 491/238*c_1001_11^2 + 120/119*c_1001_11 + 223/238, c_0101_4 + 23/34*c_1001_11^5 - 81/17*c_1001_11^4 + 725/119*c_1001_11^3 - 565/238*c_1001_11^2 + 829/238*c_1001_11 + 149/238, c_0101_7 + 23/17*c_1001_11^5 - 205/34*c_1001_11^4 + 2067/238*c_1001_11^3 - 1487/238*c_1001_11^2 + 353/119*c_1001_11 + 179/238, c_0110_5 - 139/68*c_1001_11^5 + 118/17*c_1001_11^4 - 1629/238*c_1001_11^3 + 1821/476*c_1001_11^2 - 1647/476*c_1001_11 - 559/476, c_0110_7 - 175/34*c_1001_11^5 + 280/17*c_1001_11^4 - 281/17*c_1001_11^3 + 385/34*c_1001_11^2 - 261/34*c_1001_11 - 91/34, c_1001_11^6 - 3*c_1001_11^5 + 18/7*c_1001_11^4 - 9/7*c_1001_11^3 + 6/7*c_1001_11^2 + 6/7*c_1001_11 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB