Magma V2.19-8 Wed Aug 21 2013 00:58:08 on localhost [Seed = 3499543110] Type ? for help. Type -D to quit. Loading file "L13n4727__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4727 geometric_solution 12.36308149 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 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 3 0 -3 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 0.560190239296 1.224273033523 0 5 4 2 0132 0132 1230 3120 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 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 0.357883452599 0.322681569669 1 0 7 6 3120 0132 0132 0132 0 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 -3 3 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 0.771302176982 0.795020423016 6 8 5 0 0132 0132 2031 0132 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 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 0.560143475297 0.879916509294 8 9 0 1 3120 0132 0132 3012 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 -2 3 -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 0.227320328365 0.589033930854 10 1 10 3 0132 0132 3012 1302 0 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 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 0.277688023518 1.107609461434 3 8 2 11 0132 0213 0132 0132 0 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 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 0.587259913926 0.694006723501 8 12 12 2 0213 0132 1302 0132 0 0 0 1 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 3 -3 0 0 0 0 -1 0 0 1 1 -6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353857504394 0.797469325827 7 3 6 4 0213 0132 0213 3120 0 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 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 0.520452210108 0.367678837684 11 4 11 12 3012 0132 0213 0132 0 0 0 0 0 1 -1 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 2 -2 0 2 0 -2 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 0.505026418110 0.676979765570 5 5 11 12 0132 1230 3201 1023 0 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 3 -3 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 0.413095919977 0.633450592465 10 9 6 9 2310 0213 0132 1230 0 0 0 0 0 1 0 -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 2 0 -2 0 0 0 0 0 2 0 -2 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670185491241 1.130104621688 7 7 9 10 2031 0132 0132 1023 0 0 1 0 0 0 0 0 -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 0 0 0 0 -3 0 0 3 -5 6 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535115202624 1.047685470414 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_1']), 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0101_5'], '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'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_4'], 's_2_0' : 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' : 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' : d['1'], 's_0_9' : d['1'], 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_1']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : negation(d['c_0011_4']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : d['1'], 'c_1100_12' : d['c_0011_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0110_6' : d['c_0101_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], '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_0011_11'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0101_2']), '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_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : negation(d['c_0011_0'])})} 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_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_5, c_1001_0, c_1001_1, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 16119332312/84695249933*c_1001_12^9 - 3450533818691/1016342999196*c_1001_12^8 - 8714826831261/338780999732*c_1001_12^7 - 254362028596/2289060809*c_1001_12^6 - 104563345457203/338780999732*c_1001_12^5 - 585223295597077/1016342999196*c_1001_12^4 - 730598598005291/1016342999196*c_1001_12^3 - 588105891986257/1016342999196*c_1001_12^2 - 138997924982305/508171499598*c_1001_12 - 8140556291141/145191857028, c_0011_0 - 1, c_0011_11 - 12477/43546*c_1001_12^9 - 496311/152411*c_1001_12^8 - 4610435/304822*c_1001_12^7 - 12187375/304822*c_1001_12^6 - 9539610/152411*c_1001_12^5 - 7652103/152411*c_1001_12^4 - 427568/152411*c_1001_12^3 + 10345653/304822*c_1001_12^2 + 8381565/304822*c_1001_12 + 2187097/304822, c_0011_12 + 84081/304822*c_1001_12^9 + 483932/152411*c_1001_12^8 + 4565493/304822*c_1001_12^7 + 12264395/304822*c_1001_12^6 + 9847756/152411*c_1001_12^5 + 8384590/152411*c_1001_12^4 + 1213857/152411*c_1001_12^3 - 9818303/304822*c_1001_12^2 - 9612279/304822*c_1001_12 - 455321/43546, c_0011_4 - 1122/152411*c_1001_12^9 + 5949/152411*c_1001_12^8 + 132523/152411*c_1001_12^7 + 620811/152411*c_1001_12^6 + 1530730/152411*c_1001_12^5 + 2024011/152411*c_1001_12^4 + 999123/152411*c_1001_12^3 - 680849/152411*c_1001_12^2 - 1250369/152411*c_1001_12 - 79387/21773, c_0101_0 - 35520/152411*c_1001_12^9 - 391738/152411*c_1001_12^8 - 1747717/152411*c_1001_12^7 - 4411039/152411*c_1001_12^6 - 6432355/152411*c_1001_12^5 - 626805/21773*c_1001_12^4 + 113621/21773*c_1001_12^3 + 3815470/152411*c_1001_12^2 + 2247764/152411*c_1001_12 + 224219/152411, c_0101_1 - 1, c_0101_11 - 29649/304822*c_1001_12^9 - 203254/152411*c_1001_12^8 - 2284033/304822*c_1001_12^7 - 7052483/304822*c_1001_12^6 - 6514642/152411*c_1001_12^5 - 6576393/152411*c_1001_12^4 - 1703425/152411*c_1001_12^3 + 6853039/304822*c_1001_12^2 + 7606869/304822*c_1001_12 + 2558891/304822, c_0101_12 + 38567/304822*c_1001_12^9 + 29892/21773*c_1001_12^8 + 1853811/304822*c_1001_12^7 + 4774975/304822*c_1001_12^6 + 3697508/152411*c_1001_12^5 + 3085995/152411*c_1001_12^4 + 509746/152411*c_1001_12^3 - 3714955/304822*c_1001_12^2 - 3792277/304822*c_1001_12 - 1285369/304822, c_0101_2 + 475/21773*c_1001_12^9 + 50542/152411*c_1001_12^8 + 305271/152411*c_1001_12^7 + 984397/152411*c_1001_12^6 + 1915695/152411*c_1001_12^5 + 2110663/152411*c_1001_12^4 + 844351/152411*c_1001_12^3 - 735181/152411*c_1001_12^2 - 1248834/152411*c_1001_12 - 585766/152411, c_0101_5 - 54224/152411*c_1001_12^9 - 591800/152411*c_1001_12^8 - 369796/21773*c_1001_12^7 - 6344160/152411*c_1001_12^6 - 8854458/152411*c_1001_12^5 - 5438022/152411*c_1001_12^4 + 1623618/152411*c_1001_12^3 + 722283/21773*c_1001_12^2 + 413485/21773*c_1001_12 + 465403/152411, c_1001_0 - 155121/304822*c_1001_12^9 - 875670/152411*c_1001_12^8 - 1151561/43546*c_1001_12^7 - 21086473/304822*c_1001_12^6 - 16280111/152411*c_1001_12^5 - 12772225/152411*c_1001_12^4 - 418510/152411*c_1001_12^3 + 2492749/43546*c_1001_12^2 + 2015401/43546*c_1001_12 + 3635685/304822, c_1001_1 - 15077/304822*c_1001_12^9 - 101467/152411*c_1001_12^8 - 158875/43546*c_1001_12^7 - 3332943/304822*c_1001_12^6 - 2978786/152411*c_1001_12^5 - 2883758/152411*c_1001_12^4 - 687840/152411*c_1001_12^3 + 394853/43546*c_1001_12^2 + 435395/43546*c_1001_12 + 1007205/304822, c_1001_12^10 + 13*c_1001_12^9 + 71*c_1001_12^8 + 222*c_1001_12^7 + 431*c_1001_12^6 + 498*c_1001_12^5 + 256*c_1001_12^4 - 115*c_1001_12^3 - 270*c_1001_12^2 - 162*c_1001_12 - 37 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.440 seconds, Total memory usage: 32.09MB