Magma V2.19-8 Tue Aug 20 2013 16:17:25 on localhost [Seed = 1629552040] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1658 geometric_solution 5.39769197 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 -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 1.196071252385 0.994336423122 0 5 5 4 0132 0132 3201 0213 0 0 0 0 0 -1 1 0 0 0 0 0 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 1 0 -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 0.253214827900 0.311798432434 6 0 6 4 0132 0132 2310 2031 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 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 0.909607156879 1.012020246865 4 3 3 0 0213 1230 3012 0132 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.094932366127 0.639411885431 3 2 0 1 0213 1302 0132 0213 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 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 0.505610911272 0.411003171539 1 1 5 5 2310 0132 2031 1302 0 0 0 0 0 1 -1 0 0 0 0 0 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 -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 1.244926589660 2.271175888948 2 2 6 6 0132 3201 2031 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497709638930 0.194174493478 ==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' : negation(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' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_6']})} 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_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 8651404007595/199363145728*c_0101_6^14 - 85820853061173/199363145728*c_0101_6^13 - 194083407229551/199363145728*c_0101_6^12 + 6951713204347/24920393216*c_0101_6^11 + 606928877168847/199363145728*c_0101_6^10 + 524315205746663/199363145728*c_0101_6^9 - 323474123478109/199363145728*c_0101_6^8 - 857753010769645/199363145728*c_0101_6^7 - 245133784310589/99681572864*c_0101_6^6 + 41477597645837/99681572864*c_0101_6^5 + 10069339957965/6230098304*c_0101_6^4 + 285561694961993/199363145728*c_0101_6^3 + 164003729049989/199363145728*c_0101_6^2 + 34434644124897/99681572864*c_0101_6 + 13355791317483/199363145728, c_0011_0 - 1, c_0011_3 - 34056459903/1718647808*c_0101_6^14 - 328610184513/1718647808*c_0101_6^13 - 679499454643/1718647808*c_0101_6^12 + 45214666499/214830976*c_0101_6^11 + 2221153647923/1718647808*c_0101_6^10 + 1542535214411/1718647808*c_0101_6^9 - 1439740176905/1718647808*c_0101_6^8 - 2905493005689/1718647808*c_0101_6^7 - 684083768825/859323904*c_0101_6^6 + 214138866633/859323904*c_0101_6^5 + 17258957859/26853872*c_0101_6^4 + 902721074629/1718647808*c_0101_6^3 + 504744235441/1718647808*c_0101_6^2 + 99161890957/859323904*c_0101_6 + 31776451039/1718647808, c_0011_4 + 1456809093/53707744*c_0101_6^14 + 14031922059/53707744*c_0101_6^13 + 28847259105/53707744*c_0101_6^12 - 1971676755/6713468*c_0101_6^11 - 94349019089/53707744*c_0101_6^10 - 64607495145/53707744*c_0101_6^9 + 61355194051/53707744*c_0101_6^8 + 122451525411/53707744*c_0101_6^7 + 28771037499/26853872*c_0101_6^6 - 8837591147/26853872*c_0101_6^5 - 2915025871/3356734*c_0101_6^4 - 38319633175/53707744*c_0101_6^3 - 21385566667/53707744*c_0101_6^2 - 4195413879/26853872*c_0101_6 - 1388205045/53707744, c_0101_0 + 47545983825/1718647808*c_0101_6^14 + 464222250735/1718647808*c_0101_6^13 + 998609306333/1718647808*c_0101_6^12 - 52556344397/214830976*c_0101_6^11 - 3199803137117/1718647808*c_0101_6^10 - 2458830198469/1718647808*c_0101_6^9 + 1915743959975/1718647808*c_0101_6^8 + 4326933666615/1718647808*c_0101_6^7 + 1114949863351/859323904*c_0101_6^6 - 267293786343/859323904*c_0101_6^5 - 25507628421/26853872*c_0101_6^4 - 1387928164139/1718647808*c_0101_6^3 - 786242070911/1718647808*c_0101_6^2 - 157189057251/859323904*c_0101_6 - 56648133617/1718647808, c_0101_2 + 1795453725/107415488*c_0101_6^14 + 17231421267/107415488*c_0101_6^13 + 34952405113/107415488*c_0101_6^12 - 2584021755/13426936*c_0101_6^11 - 115555749641/107415488*c_0101_6^10 - 75446150017/107415488*c_0101_6^9 + 78311012875/107415488*c_0101_6^8 + 147693127403/107415488*c_0101_6^7 + 32644032867/53707744*c_0101_6^6 - 11829469299/53707744*c_0101_6^5 - 3482887725/6713468*c_0101_6^4 - 45009572031/107415488*c_0101_6^3 - 25237020499/107415488*c_0101_6^2 - 4890557503/53707744*c_0101_6 - 1569690637/107415488, c_0101_5 - 19334018397/859323904*c_0101_6^14 - 186270499635/859323904*c_0101_6^13 - 382827301561/859323904*c_0101_6^12 + 26566998623/107415488*c_0101_6^11 + 1258618509801/859323904*c_0101_6^10 + 849695354113/859323904*c_0101_6^9 - 836201321707/859323904*c_0101_6^8 - 1626687843115/859323904*c_0101_6^7 - 370285513395/429661952*c_0101_6^6 + 126372812931/429661952*c_0101_6^5 + 38393789599/53707744*c_0101_6^4 + 499179312479/859323904*c_0101_6^3 + 277993833171/859323904*c_0101_6^2 + 54872023343/429661952*c_0101_6 + 17399950701/859323904, c_0101_6^15 + 10*c_0101_6^14 + 70/3*c_0101_6^13 - 11/3*c_0101_6^12 - 69*c_0101_6^11 - 68*c_0101_6^10 + 80/3*c_0101_6^9 + 100*c_0101_6^8 + 209/3*c_0101_6^7 + 4/3*c_0101_6^6 - 110/3*c_0101_6^5 - 113/3*c_0101_6^4 - 24*c_0101_6^3 - 11*c_0101_6^2 - 3*c_0101_6 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB