Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 2766485602] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0260 geometric_solution 4.29937289 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 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 -1 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 -2.792017002263 1.320410745465 0 0 2 2 0132 2310 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 -1 0 1 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 0.066511763264 0.081033698122 1 3 1 4 2310 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 -1 0 1 0 -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 -1.552557141550 5.914383141154 4 2 6 5 3201 0132 0132 0132 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 -1 0 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 0.324794424633 0.386812122949 6 5 2 3 2031 2103 0132 2310 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324794424633 0.386812122949 6 4 3 6 1302 2103 0132 3120 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 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 1.134825148144 1.194207793890 5 5 4 3 3120 2031 1302 0132 0 0 0 0 0 0 0 0 1 0 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 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 0.581856404421 0.440024035088 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0101_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_2, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 579764798165182002084/1622915791622444315*c_0101_3^12 + 2173414086086914927478/1622915791622444315*c_0101_3^11 + 1843661254445639169577/1622915791622444315*c_0101_3^10 - 403701465091066336197/324583158324488863*c_0101_3^9 + 40629695184441885730689/1622915791622444315*c_0101_3^8 - 21790844431225646449596/1622915791622444315*c_0101_3^7 + 12989591159472063106626/324583158324488863*c_0101_3^6 + 10760699262088702271766/1622915791622444315*c_0101_3^5 - 1757797970627788723196/1622915791622444315*c_0101_3^4 - 6048982089464120078164/1622915791622444315*c_0101_3^3 - 1357213200265998880389/324583158324488863*c_0101_3^2 - 1030001346762063378547/1622915791622444315*c_0101_3 - 778013454641661106426/1622915791622444315, c_0011_0 - 1, c_0011_2 + 6474082688548984/22857968896090765*c_0101_3^12 + 24228458845645068/22857968896090765*c_0101_3^11 + 19759174541836682/22857968896090765*c_0101_3^10 - 4937414416624944/4571593779218153*c_0101_3^9 + 453356440114730484/22857968896090765*c_0101_3^8 - 242911061624686341/22857968896090765*c_0101_3^7 + 135729332006736759/4571593779218153*c_0101_3^6 + 179790904420389626/22857968896090765*c_0101_3^5 - 132382655610176406/22857968896090765*c_0101_3^4 + 7772118627957301/22857968896090765*c_0101_3^3 - 15420611750810367/4571593779218153*c_0101_3^2 + 13752704293611343/22857968896090765*c_0101_3 + 7052546679165099/22857968896090765, c_0011_4 - 2804847919819424/22857968896090765*c_0101_3^12 - 12798280384795568/22857968896090765*c_0101_3^11 - 17638269654169992/22857968896090765*c_0101_3^10 + 596346411169080/4571593779218153*c_0101_3^9 - 185255650919496024/22857968896090765*c_0101_3^8 - 51365233599508104/22857968896090765*c_0101_3^7 - 48869332546669820/4571593779218153*c_0101_3^6 - 226750182042300096/22857968896090765*c_0101_3^5 - 100265431140345164/22857968896090765*c_0101_3^4 + 154976371330834439/22857968896090765*c_0101_3^3 + 10885604940793976/4571593779218153*c_0101_3^2 + 32599686204805937/22857968896090765*c_0101_3 + 2888433982477396/22857968896090765, c_0011_5 + 4904008353540136/22857968896090765*c_0101_3^12 + 21518042979861752/22857968896090765*c_0101_3^11 + 24772081421211628/22857968896090765*c_0101_3^10 - 3317582165645003/4571593779218153*c_0101_3^9 + 325576600486156901/22857968896090765*c_0101_3^8 + 46362405296448321/22857968896090765*c_0101_3^7 + 50577698790344941/4571593779218153*c_0101_3^6 + 550345783967181299/22857968896090765*c_0101_3^5 - 223560920049607729/22857968896090765*c_0101_3^4 - 105327334161333251/22857968896090765*c_0101_3^3 - 4498454591028676/4571593779218153*c_0101_3^2 + 4230064518155172/22857968896090765*c_0101_3 + 7126982462560001/22857968896090765, c_0011_6 - c_0101_3, c_0101_0 - 10179225054295444/22857968896090765*c_0101_3^12 - 45796368136969238/22857968896090765*c_0101_3^11 - 59160305601325537/22857968896090765*c_0101_3^10 + 3830841171026283/4571593779218153*c_0101_3^9 - 677649816650024079/22857968896090765*c_0101_3^8 - 158944496845393609/22857968896090765*c_0101_3^7 - 146366113170841821/4571593779218153*c_0101_3^6 - 1033102745939319111/22857968896090765*c_0101_3^5 - 7363256593436554/22857968896090765*c_0101_3^4 + 309752620626524874/22857968896090765*c_0101_3^3 + 24296716230658724/4571593779218153*c_0101_3^2 + 49869320450779977/22857968896090765*c_0101_3 + 1000864011588501/22857968896090765, c_0101_3^13 + 7/2*c_0101_3^12 + 9/4*c_0101_3^11 - 17/4*c_0101_3^10 + 71*c_0101_3^9 - 55*c_0101_3^8 + 243/2*c_0101_3^7 - 17/2*c_0101_3^6 - 8*c_0101_3^5 - 33/4*c_0101_3^4 - 9*c_0101_3^3 + 3/4*c_0101_3^2 - c_0101_3 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB