Magma V2.19-8 Tue Aug 20 2013 16:18:09 on localhost [Seed = 189437490] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2369 geometric_solution 5.73747092 oriented_manifold CS_known 0.0000000000000000 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 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 0.775944211416 0.864844347988 0 4 3 5 0132 0321 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474300634066 0.030949889398 2 0 3 2 3201 0132 3012 2310 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 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 1.031823627391 0.512226445030 5 2 1 0 0132 1230 0321 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 0.280716526733 1.083552016515 6 5 0 1 0132 2103 0132 0321 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 1 -1 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 0.309380208469 0.621220989733 3 4 1 6 0132 2103 0132 1302 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 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 0.357641425003 1.289825977225 4 6 5 6 0132 1302 2031 2031 0 0 0 0 0 -1 1 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 1 0 -1 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 0.579156399981 0.590509372400 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : 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' : 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_0011_4'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_1001_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_4'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_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' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_0'], '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_4'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0011_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_4, c_0101_0, c_0101_1, c_0101_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 2390125913/201498827*c_1001_1^15 - 13115512636/201498827*c_1001_1^14 + 59388422137/201498827*c_1001_1^13 - 15388102442/201498827*c_1001_1^12 - 183577451932/201498827*c_1001_1^11 + 219511834936/201498827*c_1001_1^10 + 136329370122/201498827*c_1001_1^9 - 393586822196/201498827*c_1001_1^8 + 112734996271/201498827*c_1001_1^7 + 211343706572/201498827*c_1001_1^6 - 156533813152/201498827*c_1001_1^5 + 13758547436/201498827*c_1001_1^4 + 20479458536/201498827*c_1001_1^3 - 15137896592/201498827*c_1001_1^2 + 12930353824/201498827*c_1001_1 - 3707554589/201498827, c_0011_0 - 1, c_0011_3 + 131756628/201498827*c_1001_1^15 + 802004236/201498827*c_1001_1^14 - 2787053301/201498827*c_1001_1^13 - 798284000/201498827*c_1001_1^12 + 9473390868/201498827*c_1001_1^11 - 6090207922/201498827*c_1001_1^10 - 11143702881/201498827*c_1001_1^9 + 13931794744/201498827*c_1001_1^8 + 3530584638/201498827*c_1001_1^7 - 9332205886/201498827*c_1001_1^6 + 1069495835/201498827*c_1001_1^5 + 1288152932/201498827*c_1001_1^4 - 2851662/201498827*c_1001_1^3 + 400012960/201498827*c_1001_1^2 - 339648424/201498827*c_1001_1 - 233013966/201498827, c_0011_4 + 31515139/201498827*c_1001_1^15 + 320847462/201498827*c_1001_1^14 + 108671178/201498827*c_1001_1^13 - 2976144135/201498827*c_1001_1^12 + 1722927120/201498827*c_1001_1^11 + 7771573362/201498827*c_1001_1^10 - 9336267239/201498827*c_1001_1^9 - 6794613699/201498827*c_1001_1^8 + 15003309470/201498827*c_1001_1^7 - 62141208/201498827*c_1001_1^6 - 8607357689/201498827*c_1001_1^5 + 1951919727/201498827*c_1001_1^4 + 941486403/201498827*c_1001_1^3 + 60178616/201498827*c_1001_1^2 + 103968716/201498827*c_1001_1 - 371163563/201498827, c_0101_0 - c_1001_1, c_0101_1 - 50345314/201498827*c_1001_1^15 - 370430570/201498827*c_1001_1^14 + 702285444/201498827*c_1001_1^13 + 1827815853/201498827*c_1001_1^12 - 3746690794/201498827*c_1001_1^11 - 2476016682/201498827*c_1001_1^10 + 9010635014/201498827*c_1001_1^9 - 1208376630/201498827*c_1001_1^8 - 9914748789/201498827*c_1001_1^7 + 4800768847/201498827*c_1001_1^6 + 3705703763/201498827*c_1001_1^5 - 2644848697/201498827*c_1001_1^4 + 733562131/201498827*c_1001_1^3 - 119157989/201498827*c_1001_1^2 - 289590433/201498827*c_1001_1 + 245478432/201498827, c_0101_2 + 294800353/201498827*c_1001_1^15 + 1767470851/201498827*c_1001_1^14 - 6401467740/201498827*c_1001_1^13 - 1250785235/201498827*c_1001_1^12 + 21222290472/201498827*c_1001_1^11 - 14993857071/201498827*c_1001_1^10 - 23834405101/201498827*c_1001_1^9 + 32265076962/201498827*c_1001_1^8 + 6282116571/201498827*c_1001_1^7 - 20954557166/201498827*c_1001_1^6 + 3005688553/201498827*c_1001_1^5 + 2674310620/201498827*c_1001_1^4 + 5840247/201498827*c_1001_1^3 + 373471782/201498827*c_1001_1^2 - 793116767/201498827*c_1001_1 - 144591091/201498827, c_1001_1^16 + 6*c_1001_1^15 - 22*c_1001_1^14 - 6*c_1001_1^13 + 80*c_1001_1^12 - 54*c_1001_1^11 - 103*c_1001_1^10 + 138*c_1001_1^9 + 34*c_1001_1^8 - 114*c_1001_1^7 + 23*c_1001_1^6 + 28*c_1001_1^5 - 11*c_1001_1^4 + 2*c_1001_1^3 - 3*c_1001_1^2 - c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB