Magma V2.19-8 Tue Aug 20 2013 16:17:00 on localhost [Seed = 4021187388] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1253 geometric_solution 5.15034971 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 1230 0132 0132 0 0 1 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 1 -1 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 0.570108072262 1.302972300957 0 4 0 4 0132 0132 3012 3012 0 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 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718153382759 0.644155649168 3 5 5 0 3201 0132 3201 0132 0 0 0 0 0 1 0 -1 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 -1 0 1 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 -0.002953515185 0.294973658187 4 4 0 2 0132 1302 0132 2310 0 0 0 1 0 -1 1 0 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 0 0 0 -1 0 0 1 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570108072262 1.302972300957 3 1 1 3 0132 0132 1230 2031 0 0 1 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 1 -1 0 1 0 -1 0 -1 -1 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228356922141 0.692133824999 2 2 6 6 2310 0132 0132 2310 0 0 0 0 0 -1 1 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 1 -1 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 3.938285173518 4.094724462338 5 6 6 5 3201 1230 3012 0132 0 0 0 0 0 0 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 -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 -0.118493205201 0.102557752708 ==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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : 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' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_1']})} 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_2, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 6254217367/302612352*c_0101_5^6 + 6518040365/151306176*c_0101_5^5 - 2903180069/100870784*c_0101_5^4 - 12095407399/302612352*c_0101_5^3 + 396823137/25217696*c_0101_5^2 + 82471213/6304424*c_0101_5 + 3682673545/302612352, c_0011_0 - 1, c_0011_2 + 1564519/450316*c_0101_5^6 - 1100371/225158*c_0101_5^5 + 709235/450316*c_0101_5^4 + 3738555/450316*c_0101_5^3 + 270870/112579*c_0101_5^2 - 150423/112579*c_0101_5 - 382837/450316, c_0011_6 - 553049/1801264*c_0101_5^6 - 121237/900632*c_0101_5^5 + 2672207/1801264*c_0101_5^4 - 3971849/1801264*c_0101_5^3 - 525371/450316*c_0101_5^2 + 67132/112579*c_0101_5 + 995143/1801264, c_0101_0 - 1, c_0101_1 + 113006701/18913272*c_0101_5^6 - 29815761/3152212*c_0101_5^5 + 29157271/6304424*c_0101_5^4 + 237100597/18913272*c_0101_5^3 + 13764871/4728318*c_0101_5^2 - 6504943/2364159*c_0101_5 - 3809241/6304424, c_0101_2 + 47296903/18913272*c_0101_5^6 - 14410567/3152212*c_0101_5^5 + 19227981/6304424*c_0101_5^4 + 80081287/18913272*c_0101_5^3 + 2388331/4728318*c_0101_5^2 - 3346060/2364159*c_0101_5 - 4753947/6304424, c_0101_5^7 - 73/41*c_0101_5^6 + 51/41*c_0101_5^5 + 62/41*c_0101_5^4 + 25/41*c_0101_5^3 - 20/41*c_0101_5^2 - 7/41*c_0101_5 - 3/41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB