Magma V2.19-8 Wed Aug 21 2013 00:57:34 on localhost [Seed = 3220809074] Type ? for help. Type -D to quit. Loading file "L13n4358__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4358 geometric_solution 11.83818749 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 0 3 0 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329271975858 0.527650026695 0 4 5 4 0132 0132 0132 1230 1 1 0 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 0 0 0 0 0 0 -1 1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227001313915 1.184794071335 0 0 6 4 2031 0132 0132 0132 1 1 0 1 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148804194784 1.364019783875 7 8 0 5 0132 0132 0132 3201 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 0.141798365880 0.797692167370 1 1 2 9 3012 0132 0132 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 -1 1 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 0.386255237427 0.592022888995 6 3 10 1 0321 2310 0132 0132 1 1 1 1 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 0 0 4 -1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.441011812471 1.913990060828 5 7 11 2 0321 0321 0132 0132 1 1 1 1 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 4 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.103276790298 0.688090094427 3 10 12 6 0132 2031 0132 0321 1 1 1 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 0 0 0 1 0 0 -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 0.255505252255 0.641376750433 12 3 11 10 2031 0132 3012 2031 1 1 1 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.042640053853 0.796187919234 10 12 4 11 2031 2031 0132 0132 1 1 1 1 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 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.076566435070 0.878854083603 7 8 9 5 1302 1302 1302 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 0 0 0 0 0 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 0.254955616322 0.365931944805 12 8 9 6 1023 1230 0132 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 0 0 0 0 0 0 -1 0 0 1 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014056033933 1.339007989673 9 11 8 7 1302 1023 1302 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 0 0 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649036241801 0.696453230721 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0101_5']), 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : d['c_0011_11'], 's_3_11' : 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_0101_11'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_1100_11'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_1100_11'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_1100_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_8'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : negation(d['c_0101_5']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0011_3'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : 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_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_1100_11'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_5'])})} 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_3, c_0011_5, c_0011_6, c_0101_11, c_0101_4, c_0101_5, c_0101_7, c_0101_8, c_0101_9, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1658341547927293/540986239497*c_1100_11^8 - 3793263079654054/180328746499*c_1100_11^7 + 3023341067878655/49180567227*c_1100_11^6 - 63410004803737015/540986239497*c_1100_11^5 + 38547189878383390/180328746499*c_1100_11^4 - 16642657494267773/49180567227*c_1100_11^3 + 2157552104168804/6078497073*c_1100_11^2 - 106228793697712769/540986239497*c_1100_11 + 3967733820201970/180328746499, c_0011_0 - 1, c_0011_10 - 33836/136605*c_1100_11^8 + 250706/136605*c_1100_11^7 - 154261/27321*c_1100_11^6 + 1491361/136605*c_1100_11^5 - 2700224/136605*c_1100_11^4 + 4421351/136605*c_1100_11^3 - 948086/27321*c_1100_11^2 + 26582/1301*c_1100_11 - 312616/136605, c_0011_11 + 43228/136605*c_1100_11^8 - 95721/45535*c_1100_11^7 + 164378/27321*c_1100_11^6 - 1567588/136605*c_1100_11^5 + 961099/45535*c_1100_11^4 - 4491103/136605*c_1100_11^3 + 944165/27321*c_1100_11^2 - 75757/3903*c_1100_11 + 121221/45535, c_0011_3 + 54452/45535*c_1100_11^8 - 370332/45535*c_1100_11^7 + 214859/9107*c_1100_11^6 - 2043792/45535*c_1100_11^5 + 3733248/45535*c_1100_11^4 - 5888227/45535*c_1100_11^3 + 1232059/9107*c_1100_11^2 - 96765/1301*c_1100_11 + 390962/45535, c_0011_5 - 15677/45535*c_1100_11^8 + 327461/136605*c_1100_11^7 - 64025/9107*c_1100_11^6 + 1834046/136605*c_1100_11^5 - 3360779/136605*c_1100_11^4 + 1776207/45535*c_1100_11^3 - 1110220/27321*c_1100_11^2 + 90121/3903*c_1100_11 - 298756/136605, c_0011_6 + 1, c_0101_11 + 42491/45535*c_1100_11^8 - 847268/136605*c_1100_11^7 + 160488/9107*c_1100_11^6 - 4540103/136605*c_1100_11^5 + 8337137/136605*c_1100_11^4 - 4338591/45535*c_1100_11^3 + 2676364/27321*c_1100_11^2 - 205246/3903*c_1100_11 + 835603/136605, c_0101_4 - 377/3903*c_1100_11^8 + 731/1301*c_1100_11^7 - 5402/3903*c_1100_11^6 + 9791/3903*c_1100_11^5 - 6291/1301*c_1100_11^4 + 25922/3903*c_1100_11^3 - 23162/3903*c_1100_11^2 + 10375/3903*c_1100_11 + 132/1301, c_0101_5 + 102874/136605*c_1100_11^8 - 706019/136605*c_1100_11^7 + 413621/27321*c_1100_11^6 - 1318143/45535*c_1100_11^5 + 7201346/136605*c_1100_11^4 - 11389654/136605*c_1100_11^3 + 801414/9107*c_1100_11^2 - 192953/3903*c_1100_11 + 793279/136605, c_0101_7 - 63883/45535*c_1100_11^8 + 1319789/136605*c_1100_11^7 - 258187/9107*c_1100_11^6 + 7394654/136605*c_1100_11^5 - 13447466/136605*c_1100_11^4 + 7108008/45535*c_1100_11^3 - 4485850/27321*c_1100_11^2 + 353737/3903*c_1100_11 - 1347079/136605, c_0101_8 - 29129/136605*c_1100_11^8 + 194914/136605*c_1100_11^7 - 111697/27321*c_1100_11^6 + 351128/45535*c_1100_11^5 - 1928071/136605*c_1100_11^4 + 3035819/136605*c_1100_11^3 - 207177/9107*c_1100_11^2 + 47491/3903*c_1100_11 - 260789/136605, c_0101_9 + 204844/136605*c_1100_11^8 - 1396544/136605*c_1100_11^7 + 812375/27321*c_1100_11^6 - 2579113/45535*c_1100_11^5 + 14108021/136605*c_1100_11^4 - 22231294/136605*c_1100_11^3 + 1549328/9107*c_1100_11^2 - 364112/3903*c_1100_11 + 1333219/136605, c_1100_11^9 - 7*c_1100_11^8 + 21*c_1100_11^7 - 41*c_1100_11^6 + 75*c_1100_11^5 - 120*c_1100_11^4 + 131*c_1100_11^3 - 80*c_1100_11^2 + 16*c_1100_11 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.790 Total time: 1.010 seconds, Total memory usage: 32.09MB