Magma V2.19-8 Tue Aug 20 2013 16:18:12 on localhost [Seed = 1747580242] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2420 geometric_solution 5.76970490 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 2310 0132 3201 0 0 0 0 0 -1 0 1 -1 0 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454172870768 0.964079130903 0 3 5 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373876756564 0.914429754090 4 6 3 0 1023 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373876756564 0.914429754090 3 1 3 2 2031 0132 1302 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 0.599844200152 0.320505325903 5 2 1 6 0213 1023 0132 1302 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 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 -0.595685678276 0.492002856792 4 6 6 1 0213 0321 1302 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.379440052883 1.520084348918 5 2 4 5 2031 0132 2031 0321 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.379440052883 1.520084348918 ==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' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_1'], 'c_0110_1' : d['c_0011_5'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_5, c_0101_1, c_0101_2, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 14*c_1001_1^4 - 67*c_1001_1^3 - 82*c_1001_1^2 - c_1001_1 + 19, c_0011_0 - 1, c_0011_2 + c_1001_1^4 + 3*c_1001_1^3 - 3*c_1001_1, c_0011_5 + c_1001_1^3 + 2*c_1001_1^2 - c_1001_1 - 1, c_0101_1 + c_1001_1^2 + c_1001_1 - 1, c_0101_2 - c_1001_1^4 - 3*c_1001_1^3 + 3*c_1001_1, c_0101_6 + c_1001_1^4 + 3*c_1001_1^3 - 3*c_1001_1, c_1001_1^5 + 4*c_1001_1^4 + 2*c_1001_1^3 - 5*c_1001_1^2 - 2*c_1001_1 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_1, c_0101_2, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 4773910/2753901*c_1001_1^10 - 12342173/2753901*c_1001_1^9 + 26479049/2753901*c_1001_1^8 - 28532170/2753901*c_1001_1^7 + 6226774/305989*c_1001_1^6 - 18850805/917967*c_1001_1^5 + 61628149/2753901*c_1001_1^4 - 15899439/305989*c_1001_1^3 + 192663130/2753901*c_1001_1^2 - 226388891/2753901*c_1001_1 + 90393160/2753901, c_0011_0 - 1, c_0011_2 - 289661/611978*c_1001_1^10 + 406393/611978*c_1001_1^9 - 601621/305989*c_1001_1^8 + 221231/305989*c_1001_1^7 - 1583270/305989*c_1001_1^6 - 64735/305989*c_1001_1^5 - 2335319/305989*c_1001_1^4 + 3546415/611978*c_1001_1^3 - 4258734/305989*c_1001_1^2 + 5657293/611978*c_1001_1 - 1445857/611978, c_0011_5 - 377507/611978*c_1001_1^10 + 634257/611978*c_1001_1^9 - 834137/305989*c_1001_1^8 + 475967/305989*c_1001_1^7 - 2093770/305989*c_1001_1^6 + 464462/305989*c_1001_1^5 - 2785648/305989*c_1001_1^4 + 5956737/611978*c_1001_1^3 - 5938326/305989*c_1001_1^2 + 8888783/611978*c_1001_1 - 2579499/611978, c_0101_1 - 281063/611978*c_1001_1^10 + 369461/611978*c_1001_1^9 - 551903/305989*c_1001_1^8 + 165430/305989*c_1001_1^7 - 1498047/305989*c_1001_1^6 - 162802/305989*c_1001_1^5 - 2162502/305989*c_1001_1^4 + 3315853/611978*c_1001_1^3 - 3708643/305989*c_1001_1^2 + 4374241/611978*c_1001_1 - 825581/611978, c_0101_2 - 1383/305989*c_1001_1^10 - 1533/305989*c_1001_1^9 + 11551/305989*c_1001_1^8 - 44186/305989*c_1001_1^7 + 39205/305989*c_1001_1^6 - 76925/305989*c_1001_1^5 + 75939/305989*c_1001_1^4 - 143774/305989*c_1001_1^3 + 64110/305989*c_1001_1^2 - 195697/305989*c_1001_1 + 313409/305989, c_0101_6 - 289661/611978*c_1001_1^10 + 406393/611978*c_1001_1^9 - 601621/305989*c_1001_1^8 + 221231/305989*c_1001_1^7 - 1583270/305989*c_1001_1^6 - 64735/305989*c_1001_1^5 - 2335319/305989*c_1001_1^4 + 3546415/611978*c_1001_1^3 - 4258734/305989*c_1001_1^2 + 5657293/611978*c_1001_1 - 1445857/611978, c_1001_1^11 - 2*c_1001_1^10 + 5*c_1001_1^9 - 4*c_1001_1^8 + 12*c_1001_1^7 - 6*c_1001_1^6 + 16*c_1001_1^5 - 21*c_1001_1^4 + 37*c_1001_1^3 - 35*c_1001_1^2 + 16*c_1001_1 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB