Magma V2.19-8 Tue Aug 20 2013 16:17:25 on localhost [Seed = 1797978018] 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' : d['1'], 's_2_2' : 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' : 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_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: 12 Groebner basis: [ t - 59686541999/885418493*c_0101_6^11 + 30061998428/885418493*c_0101_6^10 + 245045332761/885418493*c_0101_6^9 - 127423475416/885418493*c_0101_6^8 - 440426520203/885418493*c_0101_6^7 - 1331503309/885418493*c_0101_6^6 + 250268547899/885418493*c_0101_6^5 + 84101875858/885418493*c_0101_6^4 - 49380909536/885418493*c_0101_6^3 - 12391204669/885418493*c_0101_6^2 + 14385088262/885418493*c_0101_6 + 2986564397/885418493, c_0011_0 - 1, c_0011_3 + 3538577/304163*c_0101_6^11 - 4144098/304163*c_0101_6^10 - 13207612/304163*c_0101_6^9 + 16961803/304163*c_0101_6^8 + 20892903/304163*c_0101_6^7 - 16678026/304163*c_0101_6^6 - 14769032/304163*c_0101_6^5 + 4516024/304163*c_0101_6^4 + 5712666/304163*c_0101_6^3 - 960417/304163*c_0101_6^2 - 1074526/304163*c_0101_6 + 341140/304163, c_0011_4 - 3352188/304163*c_0101_6^11 + 5947081/304163*c_0101_6^10 + 9612596/304163*c_0101_6^9 - 22602615/304163*c_0101_6^8 - 8678567/304163*c_0101_6^7 + 24081441/304163*c_0101_6^6 + 3237998/304163*c_0101_6^5 - 8926292/304163*c_0101_6^4 - 2361085/304163*c_0101_6^3 + 2945867/304163*c_0101_6^2 + 630291/304163*c_0101_6 - 868212/304163, c_0101_0 - 1929081/304163*c_0101_6^11 + 5398848/304163*c_0101_6^10 + 4377737/304163*c_0101_6^9 - 21625003/304163*c_0101_6^8 - 87479/304163*c_0101_6^7 + 30728624/304163*c_0101_6^6 + 278290/304163*c_0101_6^5 - 18683824/304163*c_0101_6^4 - 4296631/304163*c_0101_6^3 + 6239841/304163*c_0101_6^2 + 1257449/304163*c_0101_6 - 894545/304163, c_0101_2 - 1016393/304163*c_0101_6^11 + 2594893/304163*c_0101_6^10 + 2196939/304163*c_0101_6^9 - 10061441/304163*c_0101_6^8 + 280037/304163*c_0101_6^7 + 13016188/304163*c_0101_6^6 - 1097434/304163*c_0101_6^5 - 7020561/304163*c_0101_6^4 - 1373206/304163*c_0101_6^3 + 1906346/304163*c_0101_6^2 + 534527/304163*c_0101_6 - 333685/304163, c_0101_5 + 2741921/304163*c_0101_6^11 - 3291708/304163*c_0101_6^10 - 9808779/304163*c_0101_6^9 + 13148716/304163*c_0101_6^8 + 14787377/304163*c_0101_6^7 - 12653215/304163*c_0101_6^6 - 9325676/304163*c_0101_6^5 + 4207192/304163*c_0101_6^4 + 3326029/304163*c_0101_6^3 - 1470955/304163*c_0101_6^2 - 822436/304163*c_0101_6 + 504289/304163, c_0101_6^12 - c_0101_6^11 - 30/7*c_0101_6^10 + 31/7*c_0101_6^9 + 57/7*c_0101_6^8 - 34/7*c_0101_6^7 - 52/7*c_0101_6^6 + 9/7*c_0101_6^5 + 24/7*c_0101_6^4 + 1/7*c_0101_6^3 - 6/7*c_0101_6^2 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB