Magma V2.19-8 Tue Aug 20 2013 16:19:17 on localhost [Seed = 3532869596] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3399 geometric_solution 6.56451760 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 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 0.664572423046 0.611685628987 0 5 6 3 0132 0132 0132 2031 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 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 0.185389138709 0.749783981082 4 0 6 6 3120 0132 0213 1302 0 0 0 0 0 0 0 0 0 0 1 -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 -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 0.573383199574 1.083994314100 3 1 3 0 2310 1302 3201 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 0.855010531260 0.414992032950 5 5 0 2 3120 2031 0132 3120 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 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 0.993041778596 0.924900371923 4 1 6 4 1302 0132 2103 3120 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 -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 0.008133617697 1.081136341645 5 2 2 1 2103 0213 2031 0132 0 0 0 0 0 0 0 0 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 -1 0 1 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 0.314371757789 0.798789915486 ==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' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], '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_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' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0110_2']), '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_0110_2'], 'c_0110_5' : d['c_0110_2'], 'c_0110_4' : d['c_0110_2'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0110_2'])})} 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_1, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 32682737/33992*c_1001_0^7 - 1156550807/526876*c_1001_0^6 - 943289175/1053752*c_1001_0^5 + 2471709349/526876*c_1001_0^4 - 1062184889/1053752*c_1001_0^3 - 185468363/75268*c_1001_0^2 + 687960733/1053752*c_1001_0 - 8507903/75268, c_0011_0 - 1, c_0011_3 - 172205/33992*c_1001_0^7 + 449949/33992*c_1001_0^6 + 69025/33992*c_1001_0^5 - 896361/33992*c_1001_0^4 + 321903/33992*c_1001_0^3 + 422921/33992*c_1001_0^2 - 138455/33992*c_1001_0 + 15399/33992, c_0011_4 + 68913/33992*c_1001_0^7 - 197587/33992*c_1001_0^6 + 7277/4856*c_1001_0^5 + 44641/4856*c_1001_0^4 - 291979/33992*c_1001_0^3 - 33935/33992*c_1001_0^2 + 143523/33992*c_1001_0 - 42809/33992, c_0101_0 - 16027/8498*c_1001_0^7 + 70227/16996*c_1001_0^6 + 4393/4249*c_1001_0^5 - 97653/16996*c_1001_0^4 - 289/1214*c_1001_0^3 + 18915/16996*c_1001_0^2 + 9312/4249*c_1001_0 + 591/16996, c_0101_1 + 108097/33992*c_1001_0^7 - 309495/33992*c_1001_0^6 - 33881/33992*c_1001_0^5 + 701055/33992*c_1001_0^4 - 329995/33992*c_1001_0^3 - 55013/4856*c_1001_0^2 + 246943/33992*c_1001_0 - 6887/4856, c_0110_2 + 3689/1214*c_1001_0^7 - 126181/16996*c_1001_0^6 - 29991/8498*c_1001_0^5 + 291937/16996*c_1001_0^4 - 7481/8498*c_1001_0^3 - 194493/16996*c_1001_0^2 - 181/1214*c_1001_0 + 13705/16996, c_1001_0^8 - 80/31*c_1001_0^7 - 8/31*c_1001_0^6 + 160/31*c_1001_0^5 - 76/31*c_1001_0^4 - 72/31*c_1001_0^3 + 44/31*c_1001_0^2 - 8/31*c_1001_0 + 1/31 ], 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_1, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 24105/111314*c_1001_0^8 + 52652/55657*c_1001_0^7 + 15977/111314*c_1001_0^6 - 148389/111314*c_1001_0^5 + 43773/111314*c_1001_0^4 + 65204/55657*c_1001_0^3 - 9601/7951*c_1001_0^2 + 28587/15902*c_1001_0 - 43129/55657, c_0011_0 - 1, c_0011_3 - 1194/7951*c_1001_0^8 + 6357/7951*c_1001_0^7 - 4756/7951*c_1001_0^6 - 5097/7951*c_1001_0^5 + 5786/7951*c_1001_0^4 + 7173/7951*c_1001_0^3 - 6087/7951*c_1001_0^2 - 2009/7951*c_1001_0 - 2819/7951, c_0011_4 - 146/7951*c_1001_0^8 + 178/7951*c_1001_0^7 + 990/7951*c_1001_0^6 + 3572/7951*c_1001_0^5 + 561/7951*c_1001_0^4 - 801/7951*c_1001_0^3 - 2782/7951*c_1001_0^2 + 3297/7951*c_1001_0 + 3158/7951, c_0101_0 - 1478/7951*c_1001_0^8 + 7030/7951*c_1001_0^7 - 3157/7951*c_1001_0^6 - 436/7951*c_1001_0^5 - 2054/7951*c_1001_0^4 + 169/7951*c_1001_0^3 + 2334/7951*c_1001_0^2 + 11484/7951*c_1001_0 - 8657/7951, c_0101_1 + 1, c_0110_2 - 146/7951*c_1001_0^8 + 178/7951*c_1001_0^7 + 990/7951*c_1001_0^6 + 3572/7951*c_1001_0^5 + 561/7951*c_1001_0^4 - 801/7951*c_1001_0^3 - 2782/7951*c_1001_0^2 + 3297/7951*c_1001_0 + 3158/7951, c_1001_0^9 - 6*c_1001_0^8 + 8*c_1001_0^7 - c_1001_0^6 - 4*c_1001_0^5 - 3*c_1001_0^4 + 7*c_1001_0^3 - 7*c_1001_0^2 + 8*c_1001_0 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB