Magma V2.19-8 Tue Aug 20 2013 16:17:44 on localhost [Seed = 2084429980] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1975 geometric_solution 5.54900919 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1.497001750949 0.231745731844 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.146165011105 0.327293405648 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 -1 0 0 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 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702598871919 0.451287936189 2 4 6 5 0132 0321 0132 0132 0 0 0 0 0 0 0 0 1 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 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 0.711999285780 0.958373407848 6 5 2 3 1023 2310 0132 0321 0 0 0 0 0 0 0 0 0 0 -1 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 -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 0.711999285780 0.958373407848 5 5 3 4 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399176933639 0.601881546690 6 4 6 3 2310 1023 3201 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.143739308211 0.975044668233 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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' : negation(d['1']), 's_0_6' : 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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 7/8*c_0101_2^2 - 6, c_0011_0 - 1, c_0011_1 - 1/2*c_0101_2^2 + 1, c_0011_4 + 1/4*c_0101_2^3 - c_0101_2, c_0011_5 + 1/4*c_0101_2^3 - c_0101_2, c_0101_0 + 1/4*c_0101_2^3 - c_0101_2, c_0101_2^4 - 8*c_0101_2^2 + 8, c_0101_3 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 3445384998561382/1856439393683091*c_0101_3^12 + 4275378266957964/618813131227697*c_0101_3^11 - 1554808947975245/618813131227697*c_0101_3^10 - 70190222653602977/1856439393683091*c_0101_3^9 + 46299394064095741/618813131227697*c_0101_3^8 + 177476614730863151/1856439393683091*c_0101_3^7 - 1445972724099791338/1856439393683091*c_0101_3^6 + 2837565638457717698/1856439393683091*c_0101_3^5 - 870488727842931126/618813131227697*c_0101_3^4 + 702484467864414572/1856439393683091*c_0101_3^3 + 350402872615911937/1856439393683091*c_0101_3^2 - 30749480120643391/1856439393683091*c_0101_3 + 34371401165774872/618813131227697, c_0011_0 - 1, c_0011_1 - 11677269029148/88401875889671*c_0101_3^12 - 61328844038907/88401875889671*c_0101_3^11 - 73635664255285/88401875889671*c_0101_3^10 + 146200040624050/88401875889671*c_0101_3^9 - 229382946851774/88401875889671*c_0101_3^8 - 1016861028324753/88401875889671*c_0101_3^7 + 3455946914994162/88401875889671*c_0101_3^6 - 3998187889667352/88401875889671*c_0101_3^5 + 1297471573426477/88401875889671*c_0101_3^4 + 1709776919994285/88401875889671*c_0101_3^3 + 187122478201841/88401875889671*c_0101_3^2 + 127551376673045/88401875889671*c_0101_3 - 4949291141467/88401875889671, c_0011_4 - 14732575126284/618813131227697*c_0101_2*c_0101_3^12 - 88718215124354/618813131227697*c_0101_2*c_0101_3^11 - 139850619623653/618813131227697*c_0101_2*c_0101_3^10 + 173978429292732/618813131227697*c_0101_2*c_0101_3^9 - 97557565879679/618813131227697*c_0101_2*c_0101_3^8 - 1712710227526713/618813131227697*c_0101_2*c_0101_3^7 + 3650806236539502/618813131227697*c_0101_2*c_0101_3^6 - 671633822914351/618813131227697*c_0101_2*c_0101_3^5 - 6338922472878924/618813131227697*c_0101_2*c_0101_3^4 + 9204491922438452/618813131227697*c_0101_2*c_0101_3^3 - 950138576354658/618813131227697*c_0101_2*c_0101_3^2 - 311364427705869/618813131227697*c_0101_2*c_0101_3 + 498214605728937/618813131227697*c_0101_2, c_0011_5 - 4907816387162/618813131227697*c_0101_2*c_0101_3^12 - 59625964423450/618813131227697*c_0101_2*c_0101_3^11 - 211273939873258/618813131227697*c_0101_2*c_0101_3^10 - 159713078613960/618813131227697*c_0101_2*c_0101_3^9 + 343054572175453/618813131227697*c_0101_2*c_0101_3^8 - 1008759475625950/618813131227697*c_0101_2*c_0101_3^7 - 1569428145162835/618813131227697*c_0101_2*c_0101_3^6 + 8260353453370870/618813131227697*c_0101_2*c_0101_3^5 - 9809460260582830/618813131227697*c_0101_2*c_0101_3^4 + 2145824721032379/618813131227697*c_0101_2*c_0101_3^3 + 7254801283255217/618813131227697*c_0101_2*c_0101_3^2 - 413066049992782/618813131227697*c_0101_2*c_0101_3 + 18295567505884/618813131227697*c_0101_2, c_0101_0 - 17015114138852/88401875889671*c_0101_2*c_0101_3^12 - 88081568901609/88401875889671*c_0101_2*c_0101_3^11 - 99580197019012/88401875889671*c_0101_2*c_0101_3^10 + 226852834421234/88401875889671*c_0101_2*c_0101_3^9 - 340602422064880/88401875889671*c_0101_2*c_0101_3^8 - 1461525452749959/88401875889671*c_0101_2*c_0101_3^7 + 5172247569012066/88401875889671*c_0101_2*c_0101_3^6 - 6084794791818746/88401875889671*c_0101_2*c_0101_3^5 + 2128189515324519/88401875889671*c_0101_2*c_0101_3^4 + 2573962270582839/88401875889671*c_0101_2*c_0101_3^3 + 139584265248075/88401875889671*c_0101_2*c_0101_3^2 + 73345144878944/88401875889671*c_0101_2*c_0101_3 - 128964230139591/88401875889671*c_0101_2, c_0101_2^2 + 2331846902355/88401875889671*c_0101_3^12 + 12248098537950/88401875889671*c_0101_3^11 + 14585769241033/88401875889671*c_0101_3^10 - 29907590668468/88401875889671*c_0101_3^9 + 44933381849011/88401875889671*c_0101_3^8 + 206105697282336/88401875889671*c_0101_3^7 - 688777735796514/88401875889671*c_0101_3^6 + 777743361427809/88401875889671*c_0101_3^5 - 247524025560887/88401875889671*c_0101_3^4 - 333253460146883/88401875889671*c_0101_3^3 - 49267783555810/88401875889671*c_0101_3^2 + 13643877544181/88401875889671*c_0101_3 - 35773698642366/88401875889671, c_0101_3^13 + 5*c_0101_3^12 + 5*c_0101_3^11 - 14*c_0101_3^10 + 23*c_0101_3^9 + 82*c_0101_3^8 - 318*c_0101_3^7 + 418*c_0101_3^6 - 202*c_0101_3^5 - 117*c_0101_3^4 + 23*c_0101_3^3 - 10*c_0101_3^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB