Magma V2.19-8 Tue Aug 20 2013 23:38:29 on localhost [Seed = 1814693969] Type ? for help. Type -D to quit. Loading file "K14n6024__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n6024 geometric_solution 9.48716106 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 3 0132 0132 0132 2031 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 0 -1 0 0 0 0 20 -19 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.126877214232 0.967011902842 0 4 2 5 0132 0132 1023 0132 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 0 0 0 0 -1 1 1 -1 0 0 -20 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497487181407 0.681261994736 6 0 1 3 0132 0132 1023 1302 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 -1 1 0 0 0 0 0 0 0 0 0 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.172768621211 1.688640252962 6 0 2 0 2031 1302 2031 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 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 0.866614906759 1.016612585698 7 1 8 9 0132 0132 0132 0132 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 0 0 0 0 20 -20 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739122667494 0.611903645090 8 9 1 9 1023 2031 0132 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 0 0 1 0 -1 0 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452680621522 0.704203991486 2 8 3 9 0132 0213 1302 2031 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 0 0 0 0 0 1 -1 19 0 0 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497487181407 0.681261994736 4 8 7 7 0132 2031 1230 3012 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 20 0 -20 0 0 0 0 0 0 0 0 -20 0 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621282885383 0.439743578053 7 5 6 4 1302 1023 0213 0132 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 0 1 0 0 0 0 -20 19 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197241361575 0.664586486902 5 6 4 5 1302 1302 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 1 -1 0 0 0 0 0 0 0 0 0 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354072829834 1.004824306176 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_0'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : 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_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_9'], 'c_1100_8' : d['c_0011_9'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : d['c_0101_4'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_3'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0110_5'], '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' : 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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : d['c_0011_0'], 'c_0110_9' : negation(d['c_0110_5']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_9, c_0101_0, c_0101_2, c_0101_3, c_0101_4, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 841743509/170906638*c_1001_0^14 + 1471119477/170906638*c_1001_0^13 + 175249322/85453319*c_1001_0^12 - 2352601948/85453319*c_1001_0^11 - 7447179605/170906638*c_1001_0^10 - 5037493575/170906638*c_1001_0^9 + 845041629/24415234*c_1001_0^8 + 4239183085/170906638*c_1001_0^7 - 13555033803/85453319*c_1001_0^6 - 41942721847/170906638*c_1001_0^5 - 7816563560/85453319*c_1001_0^4 + 3077634090/85453319*c_1001_0^3 - 359309639/24415234*c_1001_0^2 + 3889854161/170906638*c_1001_0 - 374518961/85453319, c_0011_0 - 1, c_0011_3 + 193638/12207617*c_1001_0^14 + 1649629/12207617*c_1001_0^13 + 2113576/12207617*c_1001_0^12 - 2243081/24415234*c_1001_0^11 - 9181631/12207617*c_1001_0^10 - 11584581/12207617*c_1001_0^9 - 7963683/24415234*c_1001_0^8 + 12050180/12207617*c_1001_0^7 + 1661507/24415234*c_1001_0^6 - 106313175/24415234*c_1001_0^5 - 58479462/12207617*c_1001_0^4 - 17925721/24415234*c_1001_0^3 + 24146989/24415234*c_1001_0^2 + 1521591/24415234*c_1001_0 + 13922941/12207617, c_0011_5 - 6806482/12207617*c_1001_0^14 - 59898203/24415234*c_1001_0^13 - 77218825/24415234*c_1001_0^12 + 22929135/12207617*c_1001_0^11 + 156999525/12207617*c_1001_0^10 + 444031865/24415234*c_1001_0^9 + 196901811/24415234*c_1001_0^8 - 247028181/24415234*c_1001_0^7 + 219765207/24415234*c_1001_0^6 + 906663309/12207617*c_1001_0^5 + 2291799695/24415234*c_1001_0^4 + 512580320/12207617*c_1001_0^3 + 28247798/12207617*c_1001_0^2 + 112963695/24415234*c_1001_0 - 106311195/24415234, c_0011_9 + 8903155/12207617*c_1001_0^14 + 25303286/12207617*c_1001_0^13 + 41632439/24415234*c_1001_0^12 - 90204131/24415234*c_1001_0^11 - 266326091/24415234*c_1001_0^10 - 280003123/24415234*c_1001_0^9 + 2972987/24415234*c_1001_0^8 + 112618409/12207617*c_1001_0^7 - 239163232/12207617*c_1001_0^6 - 754564486/12207617*c_1001_0^5 - 659434613/12207617*c_1001_0^4 - 125327285/12207617*c_1001_0^3 + 81425145/24415234*c_1001_0^2 + 10799123/12207617*c_1001_0 + 69010497/24415234, c_0101_0 + 1715324/12207617*c_1001_0^14 + 3237010/12207617*c_1001_0^13 + 65695/12207617*c_1001_0^12 - 10690196/12207617*c_1001_0^11 - 32063399/24415234*c_1001_0^10 - 6256285/12207617*c_1001_0^9 + 16730553/12207617*c_1001_0^8 + 25116923/24415234*c_1001_0^7 - 65225224/12207617*c_1001_0^6 - 190347147/24415234*c_1001_0^5 - 20620801/24415234*c_1001_0^4 + 41326222/12207617*c_1001_0^3 - 19811407/24415234*c_1001_0^2 - 31408983/24415234*c_1001_0 - 4952239/24415234, c_0101_2 - 1715324/12207617*c_1001_0^14 - 3237010/12207617*c_1001_0^13 - 65695/12207617*c_1001_0^12 + 10690196/12207617*c_1001_0^11 + 32063399/24415234*c_1001_0^10 + 6256285/12207617*c_1001_0^9 - 16730553/12207617*c_1001_0^8 - 25116923/24415234*c_1001_0^7 + 65225224/12207617*c_1001_0^6 + 190347147/24415234*c_1001_0^5 + 20620801/24415234*c_1001_0^4 - 41326222/12207617*c_1001_0^3 + 19811407/24415234*c_1001_0^2 + 31408983/24415234*c_1001_0 + 4952239/24415234, c_0101_3 + 1, c_0101_4 - 13922941/12207617*c_1001_0^14 - 27652244/12207617*c_1001_0^13 - 12273312/12207617*c_1001_0^12 + 71728281/12207617*c_1001_0^11 + 276215739/24415234*c_1001_0^10 + 116124838/12207617*c_1001_0^9 - 53353404/12207617*c_1001_0^8 - 147193093/24415234*c_1001_0^7 + 443661351/12207617*c_1001_0^6 + 1533185017/24415234*c_1001_0^5 + 923984459/24415234*c_1001_0^4 + 80749948/12207617*c_1001_0^3 + 288378981/24415234*c_1001_0^2 - 90667187/24415234*c_1001_0 + 29367473/24415234, c_0110_5 - 8903155/12207617*c_1001_0^14 - 25303286/12207617*c_1001_0^13 - 41632439/24415234*c_1001_0^12 + 90204131/24415234*c_1001_0^11 + 266326091/24415234*c_1001_0^10 + 280003123/24415234*c_1001_0^9 - 2972987/24415234*c_1001_0^8 - 112618409/12207617*c_1001_0^7 + 239163232/12207617*c_1001_0^6 + 754564486/12207617*c_1001_0^5 + 659434613/12207617*c_1001_0^4 + 125327285/12207617*c_1001_0^3 - 81425145/24415234*c_1001_0^2 - 10799123/12207617*c_1001_0 - 69010497/24415234, c_1001_0^15 + 2*c_1001_0^14 + c_1001_0^13 - 5*c_1001_0^12 - 10*c_1001_0^11 - 9*c_1001_0^10 + 3*c_1001_0^9 + 5*c_1001_0^8 - 31*c_1001_0^7 - 55*c_1001_0^6 - 37*c_1001_0^5 - 10*c_1001_0^4 - 11*c_1001_0^3 + 5*c_1001_0^2 - c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB