Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 2395935395] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s216 geometric_solution 4.35931748 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 1 0 0 -1 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 2.145407543204 0.464800628287 0 2 3 0 0132 0132 0132 3201 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 1 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 -0.083922846386 0.931607845080 3 1 4 3 2310 0132 0132 2031 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 1 0 -1 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 0.140889505984 0.707678856240 4 2 2 1 1023 1302 3201 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 1 0 -1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140889505984 0.707678856240 5 3 5 2 0132 1023 2310 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 1.443163799857 0.678955519396 4 4 5 5 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535456465134 0.296755297104 ==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_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_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_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 68826030/19153*c_0101_4^11 + 90958540/19153*c_0101_4^10 - 412302077/19153*c_0101_4^9 - 555723677/19153*c_0101_4^8 + 424124873/19153*c_0101_4^7 + 469659679/19153*c_0101_4^6 + 173032648/19153*c_0101_4^5 + 1058659043/19153*c_0101_4^4 + 1419196002/19153*c_0101_4^3 + 757230236/19153*c_0101_4^2 + 187775048/19153*c_0101_4 + 18490113/19153, c_0011_0 - 1, c_0011_3 + 9735691/19153*c_0101_4^11 + 13655652/19153*c_0101_4^10 - 57676932/19153*c_0101_4^9 - 83665729/19153*c_0101_4^8 + 56177695/19153*c_0101_4^7 + 73252800/19153*c_0101_4^6 + 26398248/19153*c_0101_4^5 + 150714886/19153*c_0101_4^4 + 212451134/19153*c_0101_4^3 + 117445612/19153*c_0101_4^2 + 29953403/19153*c_0101_4 + 3069895/19153, c_0101_0 + 9446843/19153*c_0101_4^11 + 13594471/19153*c_0101_4^10 - 55573595/19153*c_0101_4^9 - 83343075/19153*c_0101_4^8 + 52107887/19153*c_0101_4^7 + 73817796/19153*c_0101_4^6 + 27555979/19153*c_0101_4^5 + 146486903/19153*c_0101_4^4 + 211410747/19153*c_0101_4^3 + 120085023/19153*c_0101_4^2 + 31340611/19153*c_0101_4 + 3264243/19153, c_0101_1 + 8093099/19153*c_0101_4^11 + 11361859/19153*c_0101_4^10 - 47922817/19153*c_0101_4^9 - 69622084/19153*c_0101_4^8 + 46554999/19153*c_0101_4^7 + 61027071/19153*c_0101_4^6 + 22094391/19153*c_0101_4^5 + 125186213/19153*c_0101_4^4 + 176850593/19153*c_0101_4^3 + 97937175/19153*c_0101_4^2 + 24927622/19153*c_0101_4 + 2546970/19153, c_0101_2 - 1181782/19153*c_0101_4^11 - 1178576/19153*c_0101_4^10 + 7408058/19153*c_0101_4^9 + 7097730/19153*c_0101_4^8 - 9245126/19153*c_0101_4^7 - 4818574/19153*c_0101_4^6 - 1857429/19153*c_0101_4^5 - 17697809/19153*c_0101_4^4 - 18695966/19153*c_0101_4^3 - 7703640/19153*c_0101_4^2 - 1399275/19153*c_0101_4 - 73766/19153, c_0101_4^12 + 13/7*c_0101_4^11 - 37/7*c_0101_4^10 - 79/7*c_0101_4^9 + 13/7*c_0101_4^8 + 71/7*c_0101_4^7 + 43/7*c_0101_4^6 + 117/7*c_0101_4^5 + 202/7*c_0101_4^4 + 22*c_0101_4^3 + 60/7*c_0101_4^2 + 12/7*c_0101_4 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB