Magma V2.19-8 Tue Aug 20 2013 16:15:54 on localhost [Seed = 37985851] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0124 geometric_solution 3.63720978 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 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 -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 0.763786403126 0.967016285356 0 0 4 4 0132 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.942819774796 1.319171025325 3 0 5 3 2310 0132 0132 3201 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 1 0 -1 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 -0.199726973677 0.405354837376 5 2 2 0 1023 2310 3201 0132 0 0 0 0 0 0 0 0 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 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 -0.199726973677 0.405354837376 1 6 1 6 2310 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.097147604883 0.288100655669 5 3 5 2 2310 1023 3201 0132 0 0 0 0 0 0 1 -1 -1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.978078551378 1.985054220947 6 4 6 4 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490378666022 0.022616043674 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], '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_0101_2']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 448424393789/7534187453*c_0101_6^14 + 14195759655030/7534187453*c_0101_6^12 - 71650511886542/7534187453*c_0101_6^10 + 90080068412305/7534187453*c_0101_6^8 - 20848489324422/7534187453*c_0101_6^6 - 19638915212778/7534187453*c_0101_6^4 + 8875446695308/7534187453*c_0101_6^2 - 701626655128/7534187453, c_0011_0 - 1, c_0011_3 + 1, c_0011_4 - 96918987300/7534187453*c_0101_6^14 + 3120502595927/7534187453*c_0101_6^12 - 1320493949271/579552881*c_0101_6^10 + 28588387158263/7534187453*c_0101_6^8 - 19176244061316/7534187453*c_0101_6^6 + 5097845573306/7534187453*c_0101_6^4 - 402846890521/7534187453*c_0101_6^2 + 7940783843/7534187453, c_0101_0 + 137522428880/7534187453*c_0101_6^15 - 4439310858144/7534187453*c_0101_6^13 + 24724731462528/7534187453*c_0101_6^11 - 42485458336595/7534187453*c_0101_6^9 + 29982676453944/7534187453*c_0101_6^7 - 659265417917/579552881*c_0101_6^5 + 659514750780/7534187453*c_0101_6^3 + 26848722629/7534187453*c_0101_6, c_0101_1 - 84871803408/7534187453*c_0101_6^15 + 2739948467488/7534187453*c_0101_6^13 - 15265434015872/7534187453*c_0101_6^11 + 26233440938064/7534187453*c_0101_6^9 - 18459906794896/7534187453*c_0101_6^7 + 5288101147341/7534187453*c_0101_6^5 - 445651903756/7534187453*c_0101_6^3 - 15728610507/7534187453*c_0101_6, c_0101_2 - 122820470486/7534187453*c_0101_6^15 + 3995639992098/7534187453*c_0101_6^13 - 23077524151662/7534187453*c_0101_6^11 + 43437310090696/7534187453*c_0101_6^9 - 35986550816511/7534187453*c_0101_6^7 + 13891050649106/7534187453*c_0101_6^5 - 2277756474048/7534187453*c_0101_6^3 + 114211126048/7534187453*c_0101_6, c_0101_6^16 - 33*c_0101_6^14 + 203*c_0101_6^12 - 438*c_0101_6^10 + 439*c_0101_6^8 - 218*c_0101_6^6 + 50*c_0101_6^4 - 4*c_0101_6^2 + 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB