Magma V2.19-8 Tue Aug 20 2013 16:17:59 on localhost [Seed = 711702251] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2227 geometric_solution 5.66579746 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 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 1 -1 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 1.812041918090 1.107095730695 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 0 1 -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 0 -1 1 -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 0.577902908228 0.633387947071 3 1 4 5 2310 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -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 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 -0.359188907524 0.715238382055 6 5 2 1 0132 1023 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.359188907524 0.715238382055 6 5 6 2 3201 2103 3012 0132 0 0 0 0 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 -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 0.167486766089 0.958636857952 3 4 2 6 1023 2103 0132 3012 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 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 -0.374396755330 0.910055219767 3 4 5 4 0132 1230 1230 2310 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 -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 0.167486766089 0.958636857952 ==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' : negation(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' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_1001_6']), 'c_1100_4' : negation(d['c_1001_6']), '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_1001_6']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], '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_0011_4'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_4, c_0101_1, c_0101_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 242277804516038/12919096192163*c_1001_6^13 - 168486602524574/1845585170309*c_1001_6^12 + 3332522129549833/12919096192163*c_1001_6^11 - 13119003535568654/12919096192163*c_1001_6^10 + 3452692379529566/12919096192163*c_1001_6^9 + 5707643341132017/1845585170309*c_1001_6^8 - 11487301964051775/12919096192163*c_1001_6^7 - 28140038059320196/12919096192163*c_1001_6^6 - 3481278529348503/12919096192163*c_1001_6^5 - 698817989126793/12919096192163*c_1001_6^4 + 7721725934481747/12919096192163*c_1001_6^3 + 7171529122868041/12919096192163*c_1001_6^2 - 245658793860105/1845585170309*c_1001_6 - 1706152833790414/12919096192163, c_0011_0 - 1, c_0011_1 + 463457399051/1845585170309*c_1001_6^13 + 2228353634023/1845585170309*c_1001_6^12 - 6312775416227/1845585170309*c_1001_6^11 + 26607626211617/1845585170309*c_1001_6^10 - 9828695697739/1845585170309*c_1001_6^9 - 66749079084066/1845585170309*c_1001_6^8 + 31759147806203/1845585170309*c_1001_6^7 + 24887816041451/1845585170309*c_1001_6^6 - 9817723397731/1845585170309*c_1001_6^5 + 10733096984682/1845585170309*c_1001_6^4 - 8217882980807/1845585170309*c_1001_6^3 - 5448983184086/1845585170309*c_1001_6^2 + 6200865572039/1845585170309*c_1001_6 + 226432095813/1845585170309, c_0011_3 - c_1001_6, c_0011_4 - 426580033723/1845585170309*c_1001_6^13 - 2118320498104/1845585170309*c_1001_6^12 + 5445755617795/1845585170309*c_1001_6^11 - 23662545475268/1845585170309*c_1001_6^10 + 6346346795081/1845585170309*c_1001_6^9 + 59380687204279/1845585170309*c_1001_6^8 - 13203114476973/1845585170309*c_1001_6^7 - 20129195338942/1845585170309*c_1001_6^6 - 13453865705062/1845585170309*c_1001_6^5 - 13318937823433/1845585170309*c_1001_6^4 + 11058877911866/1845585170309*c_1001_6^3 + 6644635790510/1845585170309*c_1001_6^2 + 1585244569938/1845585170309*c_1001_6 - 166712884301/1845585170309, c_0101_1 - 899874309697/1845585170309*c_1001_6^13 - 3843338462465/1845585170309*c_1001_6^12 + 14373756857168/1845585170309*c_1001_6^11 - 58947086570950/1845585170309*c_1001_6^10 + 50998995825906/1845585170309*c_1001_6^9 + 103077932674736/1845585170309*c_1001_6^8 - 108035937906922/1845585170309*c_1001_6^7 + 1429752301930/1845585170309*c_1001_6^6 - 2714547579787/1845585170309*c_1001_6^5 - 13554467301586/1845585170309*c_1001_6^4 + 26061681572307/1845585170309*c_1001_6^3 - 2499547039635/1845585170309*c_1001_6^2 - 5277706957278/1845585170309*c_1001_6 + 2161992482020/1845585170309, c_0101_2 + 1138198931296/1845585170309*c_1001_6^13 + 5566987911523/1845585170309*c_1001_6^12 - 15044353351771/1845585170309*c_1001_6^11 + 63837684401967/1845585170309*c_1001_6^10 - 20118672517965/1845585170309*c_1001_6^9 - 163051909481149/1845585170309*c_1001_6^8 + 51552157803505/1845585170309*c_1001_6^7 + 64965467351760/1845585170309*c_1001_6^6 + 15468656886730/1845585170309*c_1001_6^5 + 26965263800196/1845585170309*c_1001_6^4 - 23111286725790/1845585170309*c_1001_6^3 - 15901273059317/1845585170309*c_1001_6^2 + 3447537156976/1845585170309*c_1001_6 + 549927961076/1845585170309, c_1001_6^14 + 5*c_1001_6^13 - 13*c_1001_6^12 + 53*c_1001_6^11 - 8*c_1001_6^10 - 162*c_1001_6^9 + 30*c_1001_6^8 + 105*c_1001_6^7 + 17*c_1001_6^6 + 14*c_1001_6^5 - 21*c_1001_6^4 - 27*c_1001_6^3 + 4*c_1001_6^2 + 4*c_1001_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB