Magma V2.19-8 Tue Aug 20 2013 23:52:44 on localhost [Seed = 1014650863] Type ? for help. Type -D to quit. Loading file "L13n3604__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3604 geometric_solution 10.75669771 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 0 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 0 0 0 0 0 0 0 0 -1 0 1 -1 0 2 -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 0.559161503907 0.514426244835 0 5 6 5 0132 0132 0132 1230 0 0 1 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 0 -1 1 1 0 0 -1 -1 -1 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203553300952 0.883254109124 3 0 7 7 0321 0132 3201 0132 1 0 1 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 0 0 1 -1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665954447939 0.567981605314 2 4 8 0 0321 2103 0132 0132 1 0 1 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 2 0 0 -2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471461356462 1.135177800615 9 3 0 10 0132 2103 0132 0132 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 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 -0.279780440985 1.253134281311 1 1 11 8 3012 0132 0132 2310 0 0 0 1 0 0 0 0 0 0 0 0 -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 -1 0 1 0 1 -1 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563072685250 0.624443874997 10 7 8 1 3120 2310 3120 0132 0 0 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 -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 0 0 -0.171859182207 1.029367437203 2 10 2 6 2310 3120 0132 3201 1 0 0 1 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 -1 1 0 -2 0 1 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 0.080456319872 1.100962060089 5 9 6 3 3201 3120 3120 0132 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 0 0 1.243185436478 0.822194595139 4 8 11 11 0132 3120 3012 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 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 -0.152095722190 0.637611458498 11 7 4 6 0132 3120 0132 3120 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 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 0.261270880639 0.832650813599 10 9 9 5 0132 1230 0132 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 1 -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 -0.331739572112 0.892055996360 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_1001_0']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_6']), '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_1'], 'c_0101_10' : d['c_0101_10'], '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_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' : 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_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0011_6']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_0011_4'], 'c_1100_8' : negation(d['c_0101_6']), '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' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_6'], 'c_0011_6' : d['c_0011_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_10'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0011_8'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_1']})} 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_0011_4, c_0011_6, c_0011_8, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 7609929497/36571605840*c_1001_0^10 + 3719234557/4063511760*c_1001_0^9 + 141434983/1108230480*c_1001_0^8 - 76347811/17185905*c_1001_0^7 + 1638769639/2438107056*c_1001_0^6 + 49707498913/3657160584*c_1001_0^5 - 135816746269/9142901460*c_1001_0^4 + 22380371347/4571450730*c_1001_0^3 + 5426220353/962410680*c_1001_0^2 - 265330008103/36571605840*c_1001_0 - 37286062963/12190535280, c_0011_0 - 1, c_0011_10 + 1135/14344*c_1001_0^10 - 4737/14344*c_1001_0^9 - 193/1304*c_1001_0^8 + 3171/1793*c_1001_0^7 + 2183/14344*c_1001_0^6 - 20345/3586*c_1001_0^5 + 31445/7172*c_1001_0^4 + 5861/7172*c_1001_0^3 - 11189/3586*c_1001_0^2 + 39983/14344*c_1001_0 + 19475/14344, c_0011_3 - 255/28688*c_1001_0^10 - 2905/86064*c_1001_0^9 + 2369/7824*c_1001_0^8 - 5129/43032*c_1001_0^7 - 106429/86064*c_1001_0^6 + 22157/43032*c_1001_0^5 + 15649/5379*c_1001_0^4 - 29611/7172*c_1001_0^3 + 172085/43032*c_1001_0^2 - 94451/86064*c_1001_0 + 1359/28688, c_0011_4 - 329/21516*c_1001_0^10 + 107/7172*c_1001_0^9 + 79/326*c_1001_0^8 - 7039/21516*c_1001_0^7 - 7107/7172*c_1001_0^6 + 25651/21516*c_1001_0^5 + 42203/21516*c_1001_0^4 - 69445/21516*c_1001_0^3 + 54721/21516*c_1001_0^2 - 5536/5379*c_1001_0 - 608/1793, c_0011_6 - 6179/86064*c_1001_0^10 + 29365/86064*c_1001_0^9 - 1229/7824*c_1001_0^8 - 17253/14344*c_1001_0^7 + 79873/86064*c_1001_0^6 + 44775/14344*c_1001_0^5 - 154751/21516*c_1001_0^4 + 80995/10758*c_1001_0^3 - 45465/14344*c_1001_0^2 + 88063/86064*c_1001_0 + 7433/28688, c_0011_8 - 5813/86064*c_1001_0^10 + 10861/28688*c_1001_0^9 - 669/2608*c_1001_0^8 - 70793/43032*c_1001_0^7 + 46513/28688*c_1001_0^6 + 212165/43032*c_1001_0^5 - 98189/10758*c_1001_0^4 + 109799/21516*c_1001_0^3 + 35177/43032*c_1001_0^2 - 308347/86064*c_1001_0 - 25449/28688, c_0101_1 - 1, c_0101_10 - 4063/86064*c_1001_0^10 + 8537/28688*c_1001_0^9 - 795/2608*c_1001_0^8 - 25235/21516*c_1001_0^7 + 44565/28688*c_1001_0^6 + 147721/43032*c_1001_0^5 - 77581/10758*c_1001_0^4 + 123235/21516*c_1001_0^3 - 136337/43032*c_1001_0^2 - 164237/86064*c_1001_0 - 6409/28688, c_0101_2 - 6077/129096*c_1001_0^10 + 46487/129096*c_1001_0^9 - 7891/11736*c_1001_0^8 - 57769/64548*c_1001_0^7 + 400547/129096*c_1001_0^6 + 125155/64548*c_1001_0^5 - 63262/5379*c_1001_0^4 + 220675/16137*c_1001_0^3 - 569339/64548*c_1001_0^2 + 10283/43032*c_1001_0 + 30149/14344, c_0101_6 + 255/28688*c_1001_0^10 + 2905/86064*c_1001_0^9 - 2369/7824*c_1001_0^8 + 5129/43032*c_1001_0^7 + 106429/86064*c_1001_0^6 - 22157/43032*c_1001_0^5 - 15649/5379*c_1001_0^4 + 29611/7172*c_1001_0^3 - 172085/43032*c_1001_0^2 + 8387/86064*c_1001_0 - 1359/28688, c_0101_8 - 35/258192*c_1001_0^10 - 16141/258192*c_1001_0^9 + 8627/23472*c_1001_0^8 - 4484/16137*c_1001_0^7 - 400009/258192*c_1001_0^6 + 192853/129096*c_1001_0^5 + 48943/10758*c_1001_0^4 - 512995/64548*c_1001_0^3 + 729667/129096*c_1001_0^2 - 61601/28688*c_1001_0 - 66707/28688, c_1001_0^11 - 6*c_1001_0^10 + 6*c_1001_0^9 + 23*c_1001_0^8 - 33*c_1001_0^7 - 65*c_1001_0^6 + 158*c_1001_0^5 - 124*c_1001_0^4 + 34*c_1001_0^3 + 53*c_1001_0^2 - 6*c_1001_0 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.320 seconds, Total memory usage: 32.09MB