Magma V2.19-8 Wed Aug 21 2013 00:58:10 on localhost [Seed = 2917906233] Type ? for help. Type -D to quit. Loading file "L13n4790__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4790 geometric_solution 11.47223732 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 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 -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 0 0 0 0.384536480529 0.717632779335 0 4 4 5 0132 0132 1302 0132 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 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 0.419887282882 1.082622644647 0 0 4 6 3012 0132 0132 0132 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 0 1 -1 0 -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 0.688598036607 0.802907901479 7 5 8 0 0132 0321 0132 0132 1 1 1 1 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638663750481 0.369985908731 1 1 9 2 2031 0132 0132 0132 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 0 0 0 0 0 0 0 0 -1 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 0.688598036607 0.802907901479 7 6 1 3 2103 0132 0132 0321 1 1 1 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 0 0 0 -6 0 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.351024781616 1.383365583191 10 5 2 9 0132 0132 0132 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 -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 0.860978453145 0.538100677825 3 11 5 12 0132 0132 2103 0132 1 1 1 1 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 0 0 0 0 0 6 -6 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667592314962 0.437273435797 11 9 10 3 0213 1023 1230 0132 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 0 0 0 0 0 1 -1 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349077601416 0.678677245272 8 6 12 4 1023 0321 0213 0132 1 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.574872778095 0.666699797728 6 11 12 8 0132 1302 3201 3012 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 6 0 -6 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 0.210581960548 0.657196338840 8 7 12 10 0213 0132 0132 2031 1 1 1 1 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 -1 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.409768465329 0.837639758950 10 9 7 11 2310 0213 0132 0132 1 1 1 1 0 0 0 0 0 0 -1 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 1 0 -1 0 0 6 -6 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.072695003009 1.032718317152 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : negation(d['c_0011_8']), '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_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' : 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_1001_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_1001_11'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0011_12']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_4'], 'c_1010_5' : d['c_1001_0'], '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_1001_4'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0101_4'], 'c_1100_8' : 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'], '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' : 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_8'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_8'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0011_8'])})} 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_8, c_0101_0, c_0101_12, c_0101_2, c_0101_4, c_0101_6, c_1001_0, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 208118407662742018/74343630129*c_1001_4^12 + 400372403916111815/74343630129*c_1001_4^11 + 137101369099993657/49562420086*c_1001_4^10 - 1147741261218716357/74343630129*c_1001_4^9 + 679387517646634220/74343630129*c_1001_4^8 + 912116371078766401/99124840172*c_1001_4^7 - 6359548680500876759/297374520516*c_1001_4^6 - 1068768173683750801/198249680344*c_1001_4^5 + 747779004153110469/99124840172*c_1001_4^4 - 191127005378354333/148687260258*c_1001_4^3 - 3317300721212849233/1189498082064*c_1001_4^2 + 1572847647668054021/1189498082064*c_1001_4 - 719968871131682513/2378996164128, c_0011_0 - 1, c_0011_10 + 411036774272/24781210043*c_1001_4^12 - 403543366976/24781210043*c_1001_4^11 - 878499479104/24781210043*c_1001_4^10 + 1332106918512/24781210043*c_1001_4^9 + 651807000760/24781210043*c_1001_4^8 - 1346896663920/24781210043*c_1001_4^7 + 1090571143112/24781210043*c_1001_4^6 + 3121007881036/24781210043*c_1001_4^5 + 1237255088752/24781210043*c_1001_4^4 - 153828549704/24781210043*c_1001_4^3 + 48868787528/24781210043*c_1001_4^2 + 123883829161/24781210043*c_1001_4 + 8538982725/24781210043, c_0011_11 - 246132942848/24781210043*c_1001_4^12 + 433794560640/24781210043*c_1001_4^11 + 488639998336/24781210043*c_1001_4^10 - 1608714567616/24781210043*c_1001_4^9 + 421422424816/24781210043*c_1001_4^8 + 1643774503680/24781210043*c_1001_4^7 - 2002998990032/24781210043*c_1001_4^6 - 1216721817236/24781210043*c_1001_4^5 + 1415664167196/24781210043*c_1001_4^4 + 696774249528/24781210043*c_1001_4^3 - 354300115344/24781210043*c_1001_4^2 + 43654839181/24781210043*c_1001_4 + 75361029646/24781210043, c_0011_12 + 1395534634368/24781210043*c_1001_4^12 - 1188647936256/24781210043*c_1001_4^11 - 3660347503936/24781210043*c_1001_4^10 + 5260990919984/24781210043*c_1001_4^9 + 2631854292816/24781210043*c_1001_4^8 - 6129860067008/24781210043*c_1001_4^7 + 4774894119400/24781210043*c_1001_4^6 + 11225218635452/24781210043*c_1001_4^5 + 3388276665960/24781210043*c_1001_4^4 - 896184014088/24781210043*c_1001_4^3 + 514470259304/24781210043*c_1001_4^2 + 391723465071/24781210043*c_1001_4 + 38246433216/24781210043, c_0011_8 - 1002208873152/24781210043*c_1001_4^12 + 1240334594720/24781210043*c_1001_4^11 + 2300918959632/24781210043*c_1001_4^10 - 4818023194368/24781210043*c_1001_4^9 - 393160700528/24781210043*c_1001_4^8 + 5157642486688/24781210043*c_1001_4^7 - 5224000944032/24781210043*c_1001_4^6 - 6706112345680/24781210043*c_1001_4^5 + 748665524840/24781210043*c_1001_4^4 + 1461380605344/24781210043*c_1001_4^3 - 700411256504/24781210043*c_1001_4^2 - 104967298864/24781210043*c_1001_4 + 67249154411/24781210043, c_0101_0 - 1, c_0101_12 + 411036774272/24781210043*c_1001_4^12 - 403543366976/24781210043*c_1001_4^11 - 878499479104/24781210043*c_1001_4^10 + 1332106918512/24781210043*c_1001_4^9 + 651807000760/24781210043*c_1001_4^8 - 1346896663920/24781210043*c_1001_4^7 + 1090571143112/24781210043*c_1001_4^6 + 3121007881036/24781210043*c_1001_4^5 + 1237255088752/24781210043*c_1001_4^4 - 153828549704/24781210043*c_1001_4^3 + 48868787528/24781210043*c_1001_4^2 + 123883829161/24781210043*c_1001_4 + 8538982725/24781210043, c_0101_2 + 638409583488/24781210043*c_1001_4^12 - 647239520960/24781210043*c_1001_4^11 - 1680756785024/24781210043*c_1001_4^10 + 2886486293552/24781210043*c_1001_4^9 + 799348813512/24781210043*c_1001_4^8 - 3366841344328/24781210043*c_1001_4^7 + 2934574180896/24781210043*c_1001_4^6 + 4867185000032/24781210043*c_1001_4^5 + 279851083828/24781210043*c_1001_4^4 - 871896880492/24781210043*c_1001_4^3 + 423098073074/24781210043*c_1001_4^2 + 152000441178/24781210043*c_1001_4 - 30169753593/24781210043, c_0101_4 + 638409583488/24781210043*c_1001_4^12 - 647239520960/24781210043*c_1001_4^11 - 1680756785024/24781210043*c_1001_4^10 + 2886486293552/24781210043*c_1001_4^9 + 799348813512/24781210043*c_1001_4^8 - 3366841344328/24781210043*c_1001_4^7 + 2934574180896/24781210043*c_1001_4^6 + 4867185000032/24781210043*c_1001_4^5 + 279851083828/24781210043*c_1001_4^4 - 871896880492/24781210043*c_1001_4^3 + 423098073074/24781210043*c_1001_4^2 + 127219231135/24781210043*c_1001_4 - 30169753593/24781210043, c_0101_6 + c_1001_4, c_1001_0 - 638409583488/24781210043*c_1001_4^12 + 647239520960/24781210043*c_1001_4^11 + 1680756785024/24781210043*c_1001_4^10 - 2886486293552/24781210043*c_1001_4^9 - 799348813512/24781210043*c_1001_4^8 + 3366841344328/24781210043*c_1001_4^7 - 2934574180896/24781210043*c_1001_4^6 - 4867185000032/24781210043*c_1001_4^5 - 279851083828/24781210043*c_1001_4^4 + 871896880492/24781210043*c_1001_4^3 - 423098073074/24781210043*c_1001_4^2 - 127219231135/24781210043*c_1001_4 + 30169753593/24781210043, c_1001_11 - 1211921807424/24781210043*c_1001_4^12 + 1963871255584/24781210043*c_1001_4^11 + 2033542728304/24781210043*c_1001_4^10 - 6361433069856/24781210043*c_1001_4^9 + 1406245133368/24781210043*c_1001_4^8 + 5762114858704/24781210043*c_1001_4^7 - 7563505164040/24781210043*c_1001_4^6 - 6060035382764/24781210043*c_1001_4^5 + 3091304791088/24781210043*c_1001_4^4 + 1778075675436/24781210043*c_1001_4^3 - 1075245148236/24781210043*c_1001_4^2 + 19405139031/24781210043*c_1001_4 + 140469946147/24781210043, c_1001_4^13 - 3/2*c_1001_4^12 - 7/4*c_1001_4^11 + 5*c_1001_4^10 - c_1001_4^9 - 35/8*c_1001_4^8 + 49/8*c_1001_4^7 + 79/16*c_1001_4^6 - 3/2*c_1001_4^5 - 1/2*c_1001_4^4 + 33/32*c_1001_4^3 - 3/32*c_1001_4^2 - 3/64*c_1001_4 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.800 Total time: 1.010 seconds, Total memory usage: 32.09MB