Magma V2.19-8 Tue Aug 20 2013 23:43:21 on localhost [Seed = 104882976] Type ? for help. Type -D to quit. Loading file "K13n1177__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1177 geometric_solution 11.23837121 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735436601951 1.203177722901 0 5 7 6 0132 0132 0132 0132 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 1 0 0 0 0 0 -1 1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560158983377 0.743274273443 8 0 10 9 0132 0132 0132 0132 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 1 0 -1 -1 0 1 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562133518772 0.282090945648 7 10 6 0 0132 0213 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.031353808168 0.808724194795 11 10 0 8 0132 0132 0132 0213 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 0 -1 1 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401949602743 0.654124060751 11 1 9 10 2310 0132 2310 3120 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 1 -1 0 0 0 0 0 -5 5 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.280015427637 0.708617815051 8 11 1 3 1023 2310 0132 3012 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 -4 5 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560158983377 0.743274273443 3 9 8 1 0132 1023 1023 0132 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 1 -1 1 0 -1 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399288973873 0.733301217408 2 6 7 4 0132 1023 1023 0213 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 1 -1 1 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.903256753751 0.807312227555 7 5 2 11 1023 3201 0132 0321 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 -1 1 0 0 0 0 0 -5 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.967320266356 1.155890781042 5 4 3 2 3120 0132 0213 0132 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 1 -1 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.970681505610 0.775508745028 4 9 5 6 0132 0321 3201 3201 0 0 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 0 0 0 0 0 5 -5 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735436601951 1.203177722901 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_5']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : negation(d['c_1001_5']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_3'], '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' : 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' : negation(d['1']), 's_0_4' : 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_1100_9' : negation(d['c_0101_5']), 'c_1100_8' : d['c_1001_10'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_0101_5']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_5']), 'c_1010_8' : d['c_0110_6'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : 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' : 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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_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_1'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_0'], '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_1'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], '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_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_11'], '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_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_8, c_0110_6, c_1001_10, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 202/165*c_1001_5^3 - 298/55*c_1001_5^2 - 26/165*c_1001_5 - 115/33, c_0011_0 - 1, c_0011_10 + 2/3*c_1001_5^3 - 3*c_1001_5^2 - 1/3*c_1001_5 - 4/3, c_0011_3 - 1/3*c_1001_5^3 + 2*c_1001_5^2 - 4/3*c_1001_5 + 2/3, c_0101_0 + c_1001_5, c_0101_1 + c_1001_5^3 - 4*c_1001_5^2 - 2*c_1001_5 - 2, c_0101_11 + 2/3*c_1001_5^3 - 3*c_1001_5^2 - 1/3*c_1001_5 - 1/3, c_0101_5 + 1, c_0101_8 - 2/3*c_1001_5^3 + 3*c_1001_5^2 + 1/3*c_1001_5 + 1/3, c_0110_6 - 2/3*c_1001_5^3 + 3*c_1001_5^2 + 1/3*c_1001_5 + 4/3, c_1001_10 + 1/3*c_1001_5^3 - c_1001_5^2 - 5/3*c_1001_5 - 5/3, c_1001_2 - 2/3*c_1001_5^3 + 3*c_1001_5^2 + 1/3*c_1001_5 + 1/3, c_1001_5^4 - 4*c_1001_5^3 - 2*c_1001_5^2 - 3*c_1001_5 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_8, c_0110_6, c_1001_10, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 136081186/2213*c_1001_5^11 - 547027811/2213*c_1001_5^10 + 7624391159/17704*c_1001_5^9 - 3705499435/8852*c_1001_5^8 + 563918653/4426*c_1001_5^7 + 1582133925/8852*c_1001_5^6 - 4413987449/17704*c_1001_5^5 + 1945586057/17704*c_1001_5^4 + 416935995/17704*c_1001_5^3 - 898929239/17704*c_1001_5^2 + 828080911/35408*c_1001_5 - 133822851/35408, c_0011_0 - 1, c_0011_10 + 1679312/2213*c_1001_5^11 - 6705528/2213*c_1001_5^10 + 11617131/2213*c_1001_5^9 - 11225002/2213*c_1001_5^8 + 3313450/2213*c_1001_5^7 + 4867372/2213*c_1001_5^6 - 6700793/2213*c_1001_5^5 + 2897009/2213*c_1001_5^4 + 648375/2213*c_1001_5^3 - 1361467/2213*c_1001_5^2 + 1238797/4426*c_1001_5 - 205013/4426, c_0011_3 - 1394392/2213*c_1001_5^11 + 5564164/2213*c_1001_5^10 - 19230205/4426*c_1001_5^9 + 9261425/2213*c_1001_5^8 - 2709474/2213*c_1001_5^7 - 4044523/2213*c_1001_5^6 + 11035503/4426*c_1001_5^5 - 4752439/4426*c_1001_5^4 - 1083617/4426*c_1001_5^3 + 2242329/4426*c_1001_5^2 - 2037825/8852*c_1001_5 + 339445/8852, c_0101_0 + c_1001_5, c_0101_1 + 1946680/2213*c_1001_5^11 - 7664756/2213*c_1001_5^10 + 26250833/4426*c_1001_5^9 - 12589375/2213*c_1001_5^8 + 3586882/2213*c_1001_5^7 + 5518245/2213*c_1001_5^6 - 14994587/4426*c_1001_5^5 + 6406335/4426*c_1001_5^4 + 1483593/4426*c_1001_5^3 - 3045457/4426*c_1001_5^2 + 2762717/8852*c_1001_5 - 453249/8852, c_0101_11 - 4990152/2213*c_1001_5^11 + 19857356/2213*c_1001_5^10 - 68529679/4426*c_1001_5^9 + 33015205/2213*c_1001_5^8 - 9657684/2213*c_1001_5^7 - 14376973/2213*c_1001_5^6 + 39338985/4426*c_1001_5^5 - 17006433/4426*c_1001_5^4 - 3839823/4426*c_1001_5^3 + 7993671/4426*c_1001_5^2 - 7302151/8852*c_1001_5 + 1194395/8852, c_0101_5 - 1321168/2213*c_1001_5^11 + 5261464/2213*c_1001_5^10 - 9091051/2213*c_1001_5^9 + 8788240/2213*c_1001_5^8 - 2625236/2213*c_1001_5^7 - 3756626/2213*c_1001_5^6 + 5203583/2213*c_1001_5^5 - 2289379/2213*c_1001_5^4 - 476631/2213*c_1001_5^3 + 1052587/2213*c_1001_5^2 - 986247/4426*c_1001_5 + 169145/4426, c_0101_8 + 1394392/2213*c_1001_5^11 - 5564164/2213*c_1001_5^10 + 19230205/4426*c_1001_5^9 - 9261425/2213*c_1001_5^8 + 2709474/2213*c_1001_5^7 + 4044523/2213*c_1001_5^6 - 11035503/4426*c_1001_5^5 + 4752439/4426*c_1001_5^4 + 1083617/4426*c_1001_5^3 - 2242329/4426*c_1001_5^2 + 2028973/8852*c_1001_5 - 330593/8852, c_0110_6 - 1679312/2213*c_1001_5^11 + 6705528/2213*c_1001_5^10 - 11617131/2213*c_1001_5^9 + 11225002/2213*c_1001_5^8 - 3313450/2213*c_1001_5^7 - 4867372/2213*c_1001_5^6 + 6700793/2213*c_1001_5^5 - 2897009/2213*c_1001_5^4 - 648375/2213*c_1001_5^3 + 1361467/2213*c_1001_5^2 - 1238797/4426*c_1001_5 + 205013/4426, c_1001_10 - 1946680/2213*c_1001_5^11 + 7664756/2213*c_1001_5^10 - 26250833/4426*c_1001_5^9 + 12589375/2213*c_1001_5^8 - 3586882/2213*c_1001_5^7 - 5518245/2213*c_1001_5^6 + 14994587/4426*c_1001_5^5 - 6406335/4426*c_1001_5^4 - 1483593/4426*c_1001_5^3 + 3045457/4426*c_1001_5^2 - 2762717/8852*c_1001_5 + 453249/8852, c_1001_2 + 4990152/2213*c_1001_5^11 - 19857356/2213*c_1001_5^10 + 68529679/4426*c_1001_5^9 - 33015205/2213*c_1001_5^8 + 9657684/2213*c_1001_5^7 + 14376973/2213*c_1001_5^6 - 39338985/4426*c_1001_5^5 + 17006433/4426*c_1001_5^4 + 3839823/4426*c_1001_5^3 - 7993671/4426*c_1001_5^2 + 7302151/8852*c_1001_5 - 1194395/8852, c_1001_5^12 - 9/2*c_1001_5^11 + 143/16*c_1001_5^10 - 163/16*c_1001_5^9 + 43/8*c_1001_5^8 + 15/8*c_1001_5^7 - 87/16*c_1001_5^6 + 15/4*c_1001_5^5 - 1/2*c_1001_5^4 - c_1001_5^3 + 25/32*c_1001_5^2 - 1/4*c_1001_5 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.970 Total time: 1.179 seconds, Total memory usage: 32.09MB