Magma V2.19-8 Tue Aug 20 2013 16:18:08 on localhost [Seed = 3187417222] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2353 geometric_solution 5.72938137 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0 1 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 0.444463022324 0.253639166400 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858337212551 0.714892099460 1 4 5 5 0132 0132 0132 3201 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517396861012 1.478085979062 5 5 4 1 2310 1023 0132 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 -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 0.517396861012 1.478085979062 6 2 6 3 0132 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858337212551 0.714892099460 3 2 3 2 1023 2310 3201 0132 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 -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 -0.210972481237 0.602700731261 4 4 6 6 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444463022324 0.253639166400 ==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' : negation(d['1']), 's_3_5' : negation(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' : negation(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' : negation(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_0101_4'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], '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_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 8/7*c_0101_3^4 + 15/2*c_0101_3^2 - 12, c_0011_0 - 1, c_0011_1 - c_0101_3^2 + 1, c_0011_3 + 2*c_0101_3^4 - 8*c_0101_3^2 + 6, c_0101_0 + c_0101_3, c_0101_1 - c_0101_3^4 + 3*c_0101_3^2 - 1, c_0101_3^6 - 7*c_0101_3^4 + 14*c_0101_3^2 - 7, c_0101_4 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 19/8*c_0101_3^12 - 223/8*c_0101_3^10 + 513/4*c_0101_3^8 - 287*c_0101_3^6 + 2509/8*c_0101_3^4 - 597/4*c_0101_3^2 + 281/8, c_0011_0 - 1, c_0011_1 - c_0101_3^2 + 1, c_0011_3 - 1/2*c_0101_3^12 + 11/2*c_0101_3^10 - 23*c_0101_3^8 + 45*c_0101_3^6 - 81/2*c_0101_3^4 + 14*c_0101_3^2 - 3/2, c_0101_0 - c_0101_3, c_0101_1 - c_0101_3^4 + 3*c_0101_3^2 - 1, c_0101_3^14 - 12*c_0101_3^12 + 57*c_0101_3^10 - 134*c_0101_3^8 + 159*c_0101_3^6 - 87*c_0101_3^4 + 21*c_0101_3^2 - 1, c_0101_4 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 8911159250/44979327*c_0101_4^11 - 203642505029/44979327*c_0101_4^10 - 3558080474533/89958654*c_0101_4^9 - 2972845491617/14993109*c_0101_4^8 - 53140897560151/89958654*c_0101_4^7 - 47928559131293/44979327*c_0101_4^6 - 113665715844283/89958654*c_0101_4^5 - 43842284413385/44979327*c_0101_4^4 - 14609679865213/29986218*c_0101_4^3 - 6289691165294/44979327*c_0101_4^2 - 2039027607841/89958654*c_0101_4 - 78246932126/44979327, c_0011_0 - 1, c_0011_1 - 22999/789111*c_0101_4^11 - 496879/789111*c_0101_4^10 - 3952066/789111*c_0101_4^9 - 5889805/263037*c_0101_4^8 - 43237858/789111*c_0101_4^7 - 55215139/789111*c_0101_4^6 - 43139866/789111*c_0101_4^5 - 18241051/789111*c_0101_4^4 - 2508505/263037*c_0101_4^3 - 3409141/789111*c_0101_4^2 - 1654261/789111*c_0101_4 + 110876/789111, c_0011_3 - 2145665/14993109*c_0101_4^11 - 48868937/14993109*c_0101_4^10 - 424528337/14993109*c_0101_4^9 - 704291636/4997703*c_0101_4^8 - 6217187438/14993109*c_0101_4^7 - 10967623607/14993109*c_0101_4^6 - 12550624157/14993109*c_0101_4^5 - 9101099486/14993109*c_0101_4^4 - 1389701690/4997703*c_0101_4^3 - 1066839653/14993109*c_0101_4^2 - 211425101/14993109*c_0101_4 - 23759759/14993109, c_0101_0 + 59534381/44979327*c_0101_3*c_0101_4^11 + 1367801126/44979327*c_0101_3*c_0101_4^10 + 12048667067/44979327*c_0101_3*c_0101_4^9 + 20320514696/14993109*c_0101_3*c_0101_4^8 + 9692679944/2367333*c_0101_3*c_0101_4^7 + 338843785277/44979327*c_0101_3*c_0101_4^6 + 410368776392/44979327*c_0101_3*c_0101_4^5 + 325745485643/44979327*c_0101_3*c_0101_4^4 + 56012090765/14993109*c_0101_3*c_0101_4^3 + 50721862304/44979327*c_0101_3*c_0101_4^2 + 8119410398/44979327*c_0101_3*c_0101_4 + 624036296/44979327*c_0101_3, c_0101_1 + 22999/789111*c_0101_4^11 + 496879/789111*c_0101_4^10 + 3952066/789111*c_0101_4^9 + 5889805/263037*c_0101_4^8 + 43237858/789111*c_0101_4^7 + 55215139/789111*c_0101_4^6 + 43139866/789111*c_0101_4^5 + 18241051/789111*c_0101_4^4 + 2508505/263037*c_0101_4^3 + 3409141/789111*c_0101_4^2 + 2443372/789111*c_0101_4 + 678235/789111, c_0101_3^2 + 32098/789111*c_0101_4^11 + 716731/789111*c_0101_4^10 + 6019555/789111*c_0101_4^9 + 9560005/263037*c_0101_4^8 + 78340054/789111*c_0101_4^7 + 121049995/789111*c_0101_4^6 + 115314142/789111*c_0101_4^5 + 64392358/789111*c_0101_4^4 + 6759943/263037*c_0101_4^3 + 2225425/789111*c_0101_4^2 + 639853/789111*c_0101_4 + 22999/789111, c_0101_4^12 + 23*c_0101_4^11 + 203*c_0101_4^10 + 1030*c_0101_4^9 + 3127*c_0101_4^8 + 5807*c_0101_4^7 + 7139*c_0101_4^6 + 5807*c_0101_4^5 + 3127*c_0101_4^4 + 1030*c_0101_4^3 + 203*c_0101_4^2 + 23*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB