Magma V2.19-8 Tue Aug 20 2013 16:19:12 on localhost [Seed = 1983376242] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3320 geometric_solution 6.45137056 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 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 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 0.517720457738 1.044064867670 0 2 6 5 0132 1302 0132 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 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 0.095061679868 1.237898440505 3 0 4 1 1302 0132 1302 2031 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 1 0 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 0.618792282683 0.768765419613 6 2 5 0 1023 2031 3201 0132 0 0 0 0 0 0 0 0 -1 0 0 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 1 0 -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 -0.165127503641 1.157203573554 2 5 0 6 2031 1302 0132 1302 0 0 0 0 0 1 -1 0 1 0 -1 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 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 0.618546240302 1.012396341274 3 6 1 4 2310 2031 0132 2031 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 0 -1 1 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 0 0 0 0 -0.202336262376 0.911293261020 5 3 4 1 1302 1023 2031 0132 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 0 0 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 -0.202336262376 0.911293261020 ==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' : 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' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_1010_4']), 'c_1100_5' : negation(d['c_1010_4']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_1010_4']), 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : 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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_5, c_0101_0, c_0101_1, c_0101_3, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 952788969201/2363053693792*c_1010_4^8 - 476513545139/214823063072*c_1010_4^7 - 3856476258299/1181526846896*c_1010_4^6 - 23445356061/2363053693792*c_1010_4^5 + 7345184484255/1181526846896*c_1010_4^4 - 59333968304541/2363053693792*c_1010_4^3 - 40088390552131/2363053693792*c_1010_4^2 - 35983741588/6713220721*c_1010_4 + 3753559941673/295381711724, c_0011_0 - 1, c_0011_3 - 1140010971/26852882884*c_1010_4^8 + 1671179135/6713220721*c_1010_4^7 + 6548676249/26852882884*c_1010_4^6 - 605161029/26852882884*c_1010_4^5 - 16473896023/26852882884*c_1010_4^4 + 72158063571/26852882884*c_1010_4^3 + 2309119132/6713220721*c_1010_4^2 + 25869728143/26852882884*c_1010_4 - 10382558009/6713220721, c_0011_5 - 1140010971/26852882884*c_1010_4^8 + 1671179135/6713220721*c_1010_4^7 + 6548676249/26852882884*c_1010_4^6 - 605161029/26852882884*c_1010_4^5 - 16473896023/26852882884*c_1010_4^4 + 72158063571/26852882884*c_1010_4^3 + 2309119132/6713220721*c_1010_4^2 + 25869728143/26852882884*c_1010_4 - 10382558009/6713220721, c_0101_0 + 6297875043/107411531536*c_1010_4^8 - 34122889571/107411531536*c_1010_4^7 - 27601716737/53705765768*c_1010_4^6 + 4686080681/107411531536*c_1010_4^5 + 48088891665/53705765768*c_1010_4^4 - 388820720983/107411531536*c_1010_4^3 - 274537090257/107411531536*c_1010_4^2 - 366313017/6713220721*c_1010_4 + 9652832030/6713220721, c_0101_1 - 4381363629/107411531536*c_1010_4^8 + 25607679405/107411531536*c_1010_4^7 + 12152724251/53705765768*c_1010_4^6 + 4111409489/107411531536*c_1010_4^5 - 21928554659/53705765768*c_1010_4^4 + 280182391393/107411531536*c_1010_4^3 + 48011563735/107411531536*c_1010_4^2 + 17684476367/13426441442*c_1010_4 - 6564046716/6713220721, c_0101_3 + 3377644245/53705765768*c_1010_4^8 - 19521087939/53705765768*c_1010_4^7 - 2773974894/6713220721*c_1010_4^6 + 7508718155/53705765768*c_1010_4^5 + 13264472977/13426441442*c_1010_4^4 - 221648634565/53705765768*c_1010_4^3 - 101859946561/53705765768*c_1010_4^2 - 7261213355/26852882884*c_1010_4 + 14564509623/6713220721, c_1010_4^9 - 19/3*c_1010_4^8 - 10/3*c_1010_4^7 + 17/3*c_1010_4^6 + 14*c_1010_4^5 - 223/3*c_1010_4^4 + 13*c_1010_4^3 + 8*c_1010_4^2 + 112/3*c_1010_4 - 64/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB