Magma V2.19-8 Wed Aug 21 2013 00:55:02 on localhost [Seed = 1899457301] Type ? for help. Type -D to quit. Loading file "L12n888__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n888 geometric_solution 12.28406100 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 1 -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 -1 1 0 0 1 -1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.075146264743 0.840188723591 0 3 6 5 0132 3120 0132 0132 1 1 1 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 -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 0.572463165029 0.861109444250 7 0 6 8 0132 0132 2103 0132 0 1 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 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 0.422540771814 0.451263932886 9 1 10 0 0132 3120 0132 0132 0 1 1 1 0 -1 0 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 -1 0 1 1 0 0 -1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319524023718 0.545686254198 8 11 0 5 3120 0132 0132 2031 0 1 1 0 0 0 0 0 0 0 0 0 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 -1 1 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 0.685974415678 0.962074885059 9 4 1 7 2103 1302 0132 1023 1 1 0 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 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 -0.062481522514 0.926920644121 2 11 10 1 2103 1302 3120 0132 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 0 0.195646662451 0.625176848635 2 8 10 5 0132 2103 1302 1023 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 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 0.710674131770 1.134197910141 12 7 2 4 0132 2103 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788793785748 1.434466776934 3 12 5 11 0132 0213 2103 2310 0 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 -1 1 -1 0 0 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 0.852599222040 1.068162235654 7 12 6 3 2031 0321 3120 0132 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842281655246 0.827381511153 9 4 12 6 3201 0132 0213 2031 0 1 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428884183756 0.543658870389 8 11 9 10 0132 0213 0213 0321 0 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.328684081073 0.787728983315 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_5'], 'c_1001_10' : negation(d['c_0110_11']), 'c_1001_12' : d['c_0011_5'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_0110_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_0011_0'], 'c_1010_12' : negation(d['c_1001_1']), 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : negation(d['c_1001_1']), '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' : negation(d['c_0011_3']), 'c_0101_11' : d['c_0011_12'], '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_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_0011_11'], 'c_1100_8' : negation(d['c_0101_1']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_1']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : negation(d['c_0101_2']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : d['c_0011_11'], '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' : negation(d['c_0110_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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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_0110_11'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_10']), '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' : negation(d['c_0011_12']), 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1'], '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_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_11, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 62853873757/30560930829*c_1001_1^11 + 304605138854/30560930829*c_1001_1^10 + 1496207985341/122243723316*c_1001_1^9 - 878019908395/61121861658*c_1001_1^8 - 4389052114609/122243723316*c_1001_1^7 + 180031182118/30560930829*c_1001_1^6 + 116046944669/2350840833*c_1001_1^5 + 279825565339/40747907772*c_1001_1^4 - 504710998487/13582635924*c_1001_1^3 - 442368861581/61121861658*c_1001_1^2 + 513289963921/30560930829*c_1001_1 - 21164102534/30560930829, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 18780/11867*c_1001_1^11 + 100548/11867*c_1001_1^10 + 172133/11867*c_1001_1^9 - 275/11867*c_1001_1^8 - 535835/23734*c_1001_1^7 - 99175/11867*c_1001_1^6 + 311938/11867*c_1001_1^5 + 398677/23734*c_1001_1^4 - 167808/11867*c_1001_1^3 - 222057/23734*c_1001_1^2 + 162117/23734*c_1001_1 + 35289/23734, c_0011_12 + 19844/35601*c_1001_1^11 + 73654/35601*c_1001_1^10 + 4717/35601*c_1001_1^9 - 621545/71202*c_1001_1^8 - 313118/35601*c_1001_1^7 + 299771/35601*c_1001_1^6 + 888239/71202*c_1001_1^5 - 88901/11867*c_1001_1^4 - 263847/23734*c_1001_1^3 + 280625/71202*c_1001_1^2 + 323245/71202*c_1001_1 - 104875/35601, c_0011_3 - 16760/35601*c_1001_1^11 - 67288/35601*c_1001_1^10 - 27694/35601*c_1001_1^9 + 218578/35601*c_1001_1^8 + 201578/35601*c_1001_1^7 - 366710/35601*c_1001_1^6 - 452536/35601*c_1001_1^5 + 112884/11867*c_1001_1^4 + 149304/11867*c_1001_1^3 - 233569/35601*c_1001_1^2 - 242762/35601*c_1001_1 + 151870/35601, c_0011_5 - 25880/35601*c_1001_1^11 - 121576/35601*c_1001_1^10 - 148972/35601*c_1001_1^9 + 143794/35601*c_1001_1^8 + 705037/71202*c_1001_1^7 - 88829/35601*c_1001_1^6 - 456460/35601*c_1001_1^5 + 39087/23734*c_1001_1^4 + 127597/11867*c_1001_1^3 - 71423/71202*c_1001_1^2 - 376465/71202*c_1001_1 + 171383/71202, c_0011_6 - 11912/35601*c_1001_1^11 - 129868/35601*c_1001_1^10 - 450022/35601*c_1001_1^9 - 546251/35601*c_1001_1^8 + 248849/35601*c_1001_1^7 + 971635/35601*c_1001_1^6 + 35972/35601*c_1001_1^5 - 396590/11867*c_1001_1^4 - 132147/11867*c_1001_1^3 + 719447/35601*c_1001_1^2 + 237814/35601*c_1001_1 - 324200/35601, c_0101_0 - 1, c_0101_1 + 74474/35601*c_1001_1^11 + 258316/35601*c_1001_1^10 - 133579/71202*c_1001_1^9 - 1233445/35601*c_1001_1^8 - 1738801/71202*c_1001_1^7 + 3513043/71202*c_1001_1^6 + 1744108/35601*c_1001_1^5 - 583112/11867*c_1001_1^4 - 1220237/23734*c_1001_1^3 + 1098148/35601*c_1001_1^2 + 1878049/71202*c_1001_1 - 1341359/71202, c_0101_10 + 26024/11867*c_1001_1^11 + 124182/11867*c_1001_1^10 + 150762/11867*c_1001_1^9 - 330321/23734*c_1001_1^8 - 390534/11867*c_1001_1^7 + 112485/11867*c_1001_1^6 + 1079057/23734*c_1001_1^5 - 7272/11867*c_1001_1^4 - 794005/23734*c_1001_1^3 + 28637/23734*c_1001_1^2 + 382925/23734*c_1001_1 - 62880/11867, c_0101_2 + 86386/35601*c_1001_1^11 + 388184/35601*c_1001_1^10 + 766465/71202*c_1001_1^9 - 687194/35601*c_1001_1^8 - 2236499/71202*c_1001_1^7 + 1569773/71202*c_1001_1^6 + 1708136/35601*c_1001_1^5 - 186522/11867*c_1001_1^4 - 955943/23734*c_1001_1^3 + 378701/35601*c_1001_1^2 + 1402421/71202*c_1001_1 - 692959/71202, c_0110_11 + 122008/35601*c_1001_1^11 + 584864/35601*c_1001_1^10 + 716264/35601*c_1001_1^9 - 765344/35601*c_1001_1^8 - 3672863/71202*c_1001_1^7 + 507484/35601*c_1001_1^6 + 2456375/35601*c_1001_1^5 - 101785/23734*c_1001_1^4 - 633469/11867*c_1001_1^3 + 346201/71202*c_1001_1^2 + 1890899/71202*c_1001_1 - 762205/71202, c_1001_1^12 + 4*c_1001_1^11 + 9/4*c_1001_1^10 - 10*c_1001_1^9 - 35/4*c_1001_1^8 + 31/2*c_1001_1^7 + 29/2*c_1001_1^6 - 17*c_1001_1^5 - 12*c_1001_1^4 + 14*c_1001_1^3 + 5*c_1001_1^2 - 9*c_1001_1 + 11/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB