Magma V2.19-8 Wed Aug 21 2013 01:03:15 on localhost [Seed = 964632892] Type ? for help. Type -D to quit. Loading file "L14n1872__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1872 geometric_solution 11.32877367 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 0 1 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 0 0 0 0 0 0 0 -1 2 -1 -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 0.404762971285 0.690340220258 0 4 6 5 0132 0132 0132 0132 1 1 1 1 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 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 0.762557093401 1.362660486602 7 0 0 4 0132 0132 0321 1302 0 1 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 0 0 0 0 0 0 0 1 -2 1 1 0 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 0.404762971285 0.690340220258 7 4 0 4 1230 1302 0132 1230 0 1 1 1 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 0 0 -3 2 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716396307679 0.830857559220 3 1 2 3 3012 0132 2031 2031 1 0 1 1 0 -1 0 1 -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 2 0 -2 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 0.404762971285 0.690340220258 8 7 1 9 0132 3201 0132 0132 1 1 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 0 0 0 3 0 -3 -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 0.130249438580 0.782721505790 7 8 10 1 3201 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 2 -2 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 0.130249438580 0.782721505790 2 3 5 6 0132 3012 2310 2310 1 1 1 1 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 -1 0 0 1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762557093401 1.362660486602 5 6 11 10 0132 0132 0132 3120 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 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 -0.757384927671 0.678910710307 11 12 5 10 2103 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 3 -3 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 -0.119167625548 1.154837232234 8 11 9 6 3120 3012 0132 0132 1 1 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 0 0 0 0 0 0 0 -1 3 -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 0.648653157002 0.588902446305 10 12 9 8 1230 0321 2103 0132 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 0 0 0 0 0 0 0 0 -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 -0.275567175513 0.401197612903 12 9 12 11 2310 0132 3201 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.219016155675 0.515321524810 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0011_3'], 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_11'], 'c_0101_11' : d['c_0011_10'], '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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0101_4']), 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0101_4'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_12']), '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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_5'], '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_0011_10'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0101_0']), 'c_1100_8' : negation(d['c_0101_10']), 's_2_9' : d['1']})} 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_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_7, c_0110_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 26993313703918567424/65617590194289*c_1100_1^8 + 717707218481840128/65617590194289*c_1100_1^7 - 40883435826606505984/65617590194289*c_1100_1^6 - 688947226834468864/21872530064763*c_1100_1^5 - 920760867699654656/1600429029129*c_1100_1^4 - 12997892753450000384/65617590194289*c_1100_1^3 - 14279246244569243648/65617590194289*c_1100_1^2 - 12288625090015496192/65617590194289*c_1100_1 - 2922609141653371904/65617590194289, c_0011_0 - 1, c_0011_10 - 22098304/1017407*c_1100_1^8 - 3314944/1017407*c_1100_1^7 - 31425664/1017407*c_1100_1^6 - 8468096/1017407*c_1100_1^5 - 28054976/1017407*c_1100_1^4 - 17404368/1017407*c_1100_1^3 - 11288032/1017407*c_1100_1^2 - 12186978/1017407*c_1100_1 - 119004/35083, c_0011_11 + 13259776/1017407*c_1100_1^8 - 257280/1017407*c_1100_1^7 + 19379648/1017407*c_1100_1^6 + 2090848/1017407*c_1100_1^5 + 17998192/1017407*c_1100_1^4 + 6834036/1017407*c_1100_1^3 + 6410208/1017407*c_1100_1^2 + 6430559/1017407*c_1100_1 + 30282/35083, c_0011_12 + 1170432/1017407*c_1100_1^8 - 2536960/1017407*c_1100_1^7 + 3367520/1017407*c_1100_1^6 - 3031168/1017407*c_1100_1^5 + 2946384/1017407*c_1100_1^4 - 1370136/1017407*c_1100_1^3 + 494326/1017407*c_1100_1^2 + 381174/1017407*c_1100_1 - 13480/35083, c_0011_3 + 12192896/1017407*c_1100_1^8 + 1143744/1017407*c_1100_1^7 + 17203744/1017407*c_1100_1^6 + 3557824/1017407*c_1100_1^5 + 15072152/1017407*c_1100_1^4 + 8368680/1017407*c_1100_1^3 + 5007856/1017407*c_1100_1^2 + 5814070/1017407*c_1100_1 + 72585/70166, c_0011_5 - c_1100_1, c_0101_0 + 12192896/1017407*c_1100_1^8 + 1143744/1017407*c_1100_1^7 + 17203744/1017407*c_1100_1^6 + 3557824/1017407*c_1100_1^5 + 15072152/1017407*c_1100_1^4 + 8368680/1017407*c_1100_1^3 + 5007856/1017407*c_1100_1^2 + 5814070/1017407*c_1100_1 + 72585/70166, c_0101_1 - 12192896/1017407*c_1100_1^8 - 1143744/1017407*c_1100_1^7 - 17203744/1017407*c_1100_1^6 - 3557824/1017407*c_1100_1^5 - 15072152/1017407*c_1100_1^4 - 8368680/1017407*c_1100_1^3 - 5007856/1017407*c_1100_1^2 - 5814070/1017407*c_1100_1 - 142751/70166, c_0101_10 + 19810816/1017407*c_1100_1^8 + 4342400/1017407*c_1100_1^7 + 28443840/1017407*c_1100_1^6 + 9820544/1017407*c_1100_1^5 + 25965648/1017407*c_1100_1^4 + 18071376/1017407*c_1100_1^3 + 10525538/1017407*c_1100_1^2 + 12745816/1017407*c_1100_1 + 130340/35083, c_0101_4 - 1, c_0101_7 - 12192896/1017407*c_1100_1^8 - 1143744/1017407*c_1100_1^7 - 17203744/1017407*c_1100_1^6 - 3557824/1017407*c_1100_1^5 - 15072152/1017407*c_1100_1^4 - 8368680/1017407*c_1100_1^3 - 5007856/1017407*c_1100_1^2 - 5814070/1017407*c_1100_1 - 142751/70166, c_0110_4 - 1, c_1100_1^9 + 1/2*c_1100_1^8 + 3/2*c_1100_1^7 + 7/8*c_1100_1^6 + 23/16*c_1100_1^5 + 39/32*c_1100_1^4 + 25/32*c_1100_1^3 + 47/64*c_1100_1^2 + 89/256*c_1100_1 + 29/512 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_7, c_0110_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 216228053191863216/181142865475*c_1100_1^9 - 1053898852759996008/905714327375*c_1100_1^8 + 315856198920052632/181142865475*c_1100_1^7 - 68220822307437078/181142865475*c_1100_1^6 + 765336744050812837/905714327375*c_1100_1^5 + 968154219764262653/1811428654750*c_1100_1^4 + 19229764806498537/72457146190*c_1100_1^3 + 5469105315317019/13174026580*c_1100_1^2 + 3960260467729592847/14491429238000*c_1100_1 + 1830319268501858031/28982858476000, c_0011_0 - 1, c_0011_10 - 877056/20843*c_1100_1^9 + 5112192/104215*c_1100_1^8 - 1491456/20843*c_1100_1^7 + 563136/20843*c_1100_1^6 - 3615328/104215*c_1100_1^5 - 1432496/104215*c_1100_1^4 - 115008/20843*c_1100_1^3 - 297720/20843*c_1100_1^2 - 698048/104215*c_1100_1 - 108707/104215, c_0011_11 - 2907648/104215*c_1100_1^9 + 2063616/104215*c_1100_1^8 - 585216/20843*c_1100_1^7 - 1036928/104215*c_1100_1^6 - 148672/20843*c_1100_1^5 - 2509088/104215*c_1100_1^4 - 85396/20843*c_1100_1^3 - 1151128/104215*c_1100_1^2 - 908441/104215*c_1100_1 - 123751/104215, c_0011_12 + 12695552/104215*c_1100_1^9 - 2205696/20843*c_1100_1^8 + 3282432/20843*c_1100_1^7 - 641888/104215*c_1100_1^6 + 6749824/104215*c_1100_1^5 + 1558256/20843*c_1100_1^4 + 514648/20843*c_1100_1^3 + 4691882/104215*c_1100_1^2 + 3361578/104215*c_1100_1 + 143100/20843, c_0011_3 - 1840384/104215*c_1100_1^9 + 438528/20843*c_1100_1^8 - 660032/20843*c_1100_1^7 + 1388416/104215*c_1100_1^6 - 1748848/104215*c_1100_1^5 - 100912/20843*c_1100_1^4 - 68240/20843*c_1100_1^3 - 717004/104215*c_1100_1^2 - 340291/104215*c_1100_1 - 23893/20843, c_0011_5 - c_1100_1, c_0101_0 - 1840384/104215*c_1100_1^9 + 438528/20843*c_1100_1^8 - 660032/20843*c_1100_1^7 + 1388416/104215*c_1100_1^6 - 1748848/104215*c_1100_1^5 - 100912/20843*c_1100_1^4 - 68240/20843*c_1100_1^3 - 717004/104215*c_1100_1^2 - 340291/104215*c_1100_1 - 23893/20843, c_0101_1 - 1840384/104215*c_1100_1^9 + 438528/20843*c_1100_1^8 - 660032/20843*c_1100_1^7 + 1388416/104215*c_1100_1^6 - 1748848/104215*c_1100_1^5 - 100912/20843*c_1100_1^4 - 68240/20843*c_1100_1^3 - 717004/104215*c_1100_1^2 - 340291/104215*c_1100_1 - 3050/20843, c_0101_10 - 5089792/104215*c_1100_1^9 + 5839104/104215*c_1100_1^8 - 1662848/20843*c_1100_1^7 + 2854528/104215*c_1100_1^6 - 746592/20843*c_1100_1^5 - 1855872/104215*c_1100_1^4 - 93536/20843*c_1100_1^3 - 1751622/104215*c_1100_1^2 - 715514/104215*c_1100_1 - 82699/104215, c_0101_4 - 1, c_0101_7 - 1840384/104215*c_1100_1^9 + 438528/20843*c_1100_1^8 - 660032/20843*c_1100_1^7 + 1388416/104215*c_1100_1^6 - 1748848/104215*c_1100_1^5 - 100912/20843*c_1100_1^4 - 68240/20843*c_1100_1^3 - 717004/104215*c_1100_1^2 - 340291/104215*c_1100_1 - 3050/20843, c_0110_4 + 1, c_1100_1^10 - 1/2*c_1100_1^9 + c_1100_1^8 + 3/8*c_1100_1^7 + 9/16*c_1100_1^6 + 25/32*c_1100_1^5 + 7/16*c_1100_1^4 + 29/64*c_1100_1^3 + 101/256*c_1100_1^2 + 83/512*c_1100_1 + 13/512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.550 Total time: 0.760 seconds, Total memory usage: 32.09MB