Magma V2.19-8 Tue Aug 20 2013 16:17:26 on localhost [Seed = 3398129152] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1667 geometric_solution 5.40155940 oriented_manifold CS_known -0.0000000000000002 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 1.342573482407 0.628092746338 0 2 3 0 3201 0132 0132 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 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 0.703162532307 0.236931826117 4 1 3 5 0132 0132 1302 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.697360066424 0.437687370606 2 6 4 1 2031 0132 0132 0132 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 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 0.697360066424 0.437687370606 2 5 6 3 0132 3120 3120 0132 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 -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 1.381687283547 0.365316931202 6 4 2 6 3120 3120 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219537055076 1.040062844309 5 3 4 5 3201 0132 3120 3120 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 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 0.219537055076 1.040062844309 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : 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' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), '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_1'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_1001_1'], 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_5']), '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' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], '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_0011_5, c_0101_0, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 25723708733/1669250540*c_1001_1^13 - 102338093253/834625270*c_1001_1^12 + 280693312373/834625270*c_1001_1^11 + 179700080102/417312635*c_1001_1^10 - 3303874148561/1669250540*c_1001_1^9 - 127985646052/417312635*c_1001_1^8 + 7007535643617/1669250540*c_1001_1^7 - 106456999655/166925054*c_1001_1^6 - 7458198875521/1669250540*c_1001_1^5 + 1891476514043/1669250540*c_1001_1^4 + 4282319661583/1669250540*c_1001_1^3 - 461276535919/834625270*c_1001_1^2 - 1007026130761/1669250540*c_1001_1 + 154644587499/1669250540, c_0011_0 - 1, c_0011_1 + 9731261/7763956*c_1001_1^13 - 19051660/1940989*c_1001_1^12 + 205579475/7763956*c_1001_1^11 + 68785407/1940989*c_1001_1^10 - 574538401/3881978*c_1001_1^9 - 142662107/3881978*c_1001_1^8 + 2289156491/7763956*c_1001_1^7 - 43636743/3881978*c_1001_1^6 - 1143114059/3881978*c_1001_1^5 + 259290659/7763956*c_1001_1^4 + 1231386715/7763956*c_1001_1^3 - 63660325/7763956*c_1001_1^2 - 112022435/3881978*c_1001_1 + 5651994/1940989, c_0011_3 + 48062895/333850108*c_1001_1^13 - 199026103/166925054*c_1001_1^12 + 576639493/166925054*c_1001_1^11 + 285550966/83462527*c_1001_1^10 - 6916651903/333850108*c_1001_1^9 + 52524859/83462527*c_1001_1^8 + 15230615983/333850108*c_1001_1^7 - 2248144385/166925054*c_1001_1^6 - 16990104191/333850108*c_1001_1^5 + 6525384525/333850108*c_1001_1^4 + 10661967909/333850108*c_1001_1^3 - 1937700947/166925054*c_1001_1^2 - 3098810443/333850108*c_1001_1 + 935532957/333850108, c_0011_5 - 231800367/333850108*c_1001_1^13 + 1803064447/333850108*c_1001_1^12 - 2404996509/166925054*c_1001_1^11 - 6737174249/333850108*c_1001_1^10 + 26774799975/333850108*c_1001_1^9 + 4127545581/166925054*c_1001_1^8 - 53260598677/333850108*c_1001_1^7 - 1547932455/333850108*c_1001_1^6 + 53418045625/333850108*c_1001_1^5 - 2148992399/333850108*c_1001_1^4 - 14335495219/166925054*c_1001_1^3 - 606067323/333850108*c_1001_1^2 + 2364994173/166925054*c_1001_1 - 210054947/333850108, c_0101_0 - 7522667/7763956*c_1001_1^13 + 60243363/7763956*c_1001_1^12 - 42362645/1940989*c_1001_1^11 - 183914241/7763956*c_1001_1^10 + 924224049/7763956*c_1001_1^9 + 31231525/3881978*c_1001_1^8 - 1811207581/7763956*c_1001_1^7 + 381417581/7763956*c_1001_1^6 + 1772076847/7763956*c_1001_1^5 - 516408031/7763956*c_1001_1^4 - 468894209/3881978*c_1001_1^3 + 219649299/7763956*c_1001_1^2 + 45954047/1940989*c_1001_1 - 40783505/7763956, c_0101_4 + 231800367/333850108*c_1001_1^13 - 1803064447/333850108*c_1001_1^12 + 2404996509/166925054*c_1001_1^11 + 6737174249/333850108*c_1001_1^10 - 26774799975/333850108*c_1001_1^9 - 4127545581/166925054*c_1001_1^8 + 53260598677/333850108*c_1001_1^7 + 1547932455/333850108*c_1001_1^6 - 53418045625/333850108*c_1001_1^5 + 2148992399/333850108*c_1001_1^4 + 14335495219/166925054*c_1001_1^3 + 606067323/333850108*c_1001_1^2 - 2364994173/166925054*c_1001_1 + 210054947/333850108, c_1001_1^14 - 9*c_1001_1^13 + 30*c_1001_1^12 + 6*c_1001_1^11 - 159*c_1001_1^10 + 107*c_1001_1^9 + 305*c_1001_1^8 - 305*c_1001_1^7 - 277*c_1001_1^6 + 350*c_1001_1^5 + 126*c_1001_1^4 - 193*c_1001_1^3 - 21*c_1001_1^2 + 40*c_1001_1 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB