Magma V2.19-8 Wed Aug 21 2013 00:59:15 on localhost [Seed = 1999727660] Type ? for help. Type -D to quit. Loading file "L13n6778__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6778 geometric_solution 12.07406134 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 0 0 2 0 0 0 0 0 0 1 -1 -1 2 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702737824826 0.784824479958 0 2 3 5 0132 0321 0321 0132 2 0 2 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541841121311 0.455132343391 6 0 4 1 0132 0132 0132 0321 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.957580189991 1.340779659686 5 7 1 0 0132 0132 0321 0132 2 0 2 0 0 0 0 0 0 0 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 1 0 -1 0 0 -1 1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367508877415 0.537008624224 8 9 0 2 0132 0132 0132 0132 2 0 0 0 0 0 0 0 -1 0 1 0 2 0 0 -2 0 -1 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.277183876331 0.929699480961 3 10 1 11 0132 0132 0132 0132 2 0 0 2 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.508864537657 1.289812144568 2 7 7 11 0132 0321 3201 0213 2 0 0 2 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 -2 2 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 0.555268733379 1.045581828126 6 3 10 6 2310 0132 0132 0321 2 2 0 2 0 0 -1 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 -1 -1 2 -1 0 1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555268733379 1.045581828126 4 12 12 12 0132 0132 0321 0213 1 0 0 0 0 -1 0 1 1 0 1 -2 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 -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 0.294509259323 0.987810363125 11 4 10 10 1023 0132 1023 1230 2 2 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0.949585938676 0.953740445617 9 5 9 7 3012 0132 1023 0132 2 2 2 0 0 0 -1 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 0 0 0 0 0 -1 1 0 0 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 0.475753347912 0.526540268986 12 9 5 6 0132 1023 0132 0213 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344211495603 0.633340313144 11 8 8 8 0132 0132 0321 0213 1 0 0 0 0 1 0 -1 0 0 0 0 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 -1 -1 2 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 0.294509259323 0.987810363125 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : d['c_0101_9'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_1001_12'], 'c_1010_12' : d['c_1001_12'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_1001_0'], 's_3_11' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_1']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(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_1100_9' : d['c_0101_7'], 'c_1100_8' : d['c_1001_12'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_1001_1'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0101_7']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_1001_12'], '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' : negation(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'], 'c_1100_12' : d['c_1001_12'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_11'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_12'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : negation(d['c_0101_1']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0101_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_12']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_12']), 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0101_12'])})} 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_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_7, c_0101_9, c_1001_0, c_1001_1, c_1001_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 556041862859/105353451736*c_1001_3^8 + 1059275700537/210706903472*c_1001_3^7 - 3258344500111/210706903472*c_1001_3^6 + 8867470004463/842827613888*c_1001_3^5 - 3162303613853/210706903472*c_1001_3^4 - 12575096995927/842827613888*c_1001_3^3 + 7184360506549/421413806944*c_1001_3^2 - 17916584850/1013013959*c_1001_3 - 1100831069587/842827613888, c_0011_0 - 1, c_0011_10 + 361112/1221971*c_1001_3^8 + 223468/1221971*c_1001_3^7 + 533132/1221971*c_1001_3^6 + 456941/1221971*c_1001_3^5 - 700142/1221971*c_1001_3^4 + 1299748/1221971*c_1001_3^3 - 580100/1221971*c_1001_3^2 - 90968/1221971*c_1001_3 - 378652/1221971, c_0011_11 - 216231/1221971*c_1001_3^8 - 1422483/2443942*c_1001_3^7 - 580971/2443942*c_1001_3^6 - 14411589/9775768*c_1001_3^5 + 385671/2443942*c_1001_3^4 - 18295451/9775768*c_1001_3^3 - 11722299/4887884*c_1001_3^2 + 880795/1221971*c_1001_3 - 25321823/9775768, c_0101_0 + 550928/1221971*c_1001_3^8 + 305848/1221971*c_1001_3^7 + 1706072/1221971*c_1001_3^6 + 975530/1221971*c_1001_3^5 + 1677566/1221971*c_1001_3^4 + 2732745/1221971*c_1001_3^3 + 1696953/1221971*c_1001_3^2 + 1059147/1221971*c_1001_3 + 617618/1221971, c_0101_1 - 1, c_0101_10 + 256968/1221971*c_1001_3^8 + 435364/1221971*c_1001_3^7 + 951340/1221971*c_1001_3^6 + 485747/1221971*c_1001_3^5 + 1107430/1221971*c_1001_3^4 + 163469/1221971*c_1001_3^3 + 1637850/1221971*c_1001_3^2 + 215130/1221971*c_1001_3 - 858981/1221971, c_0101_12 - 216231/1221971*c_1001_3^8 - 1422483/2443942*c_1001_3^7 - 580971/2443942*c_1001_3^6 - 14411589/9775768*c_1001_3^5 + 385671/2443942*c_1001_3^4 - 18295451/9775768*c_1001_3^3 - 11722299/4887884*c_1001_3^2 + 880795/1221971*c_1001_3 - 15546055/9775768, c_0101_7 - 177288/1221971*c_1001_3^8 - 603492/1221971*c_1001_3^7 - 732132/1221971*c_1001_3^6 - 1737079/1221971*c_1001_3^5 - 839822/1221971*c_1001_3^4 - 2395688/1221971*c_1001_3^3 - 1755184/1221971*c_1001_3^2 - 972543/1221971*c_1001_3 - 913520/1221971, c_0101_9 - 44360/1221971*c_1001_3^8 + 309532/1221971*c_1001_3^7 + 49724/1221971*c_1001_3^6 + 890497/1221971*c_1001_3^5 - 821314/1221971*c_1001_3^4 + 302334/1221971*c_1001_3^3 - 500268/1221971*c_1001_3^2 + 1509300/1221971*c_1001_3 - 300810/1221971, c_1001_0 + 784048/1221971*c_1001_3^8 + 10256/1221971*c_1001_3^7 + 1837028/1221971*c_1001_3^6 - 398594/1221971*c_1001_3^5 + 1071681/1221971*c_1001_3^4 + 2539990/1221971*c_1001_3^3 - 771285/1221971*c_1001_3^2 + 970589/1221971*c_1001_3 - 934179/1221971, c_1001_1 - 404024/1221971*c_1001_3^8 + 550204/1221971*c_1001_3^7 - 863192/1221971*c_1001_3^6 + 1918895/1221971*c_1001_3^5 - 171273/1221971*c_1001_3^4 + 354405/1221971*c_1001_3^3 + 2486553/1221971*c_1001_3^2 + 423791/1221971*c_1001_3 + 1808778/1221971, c_1001_12 - 1, c_1001_3^9 - 1/2*c_1001_3^8 + 3*c_1001_3^7 - 9/8*c_1001_3^6 + 27/8*c_1001_3^5 + 25/8*c_1001_3^4 - 5/8*c_1001_3^3 + 13/4*c_1001_3^2 + 1/8*c_1001_3 + 13/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB