Magma V2.19-8 Tue Aug 20 2013 16:18:45 on localhost [Seed = 2261195762] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2922 geometric_solution 6.11971988 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2310 0132 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 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 0.123012204964 0.852902187970 3 0 3 4 0132 0132 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 -1 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 -0.165656461140 1.148575120648 4 4 0 3 1023 1302 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.308209488955 1.245966410011 1 2 1 5 0132 2310 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 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 0.372068190359 0.523609298825 5 2 1 2 0321 1023 0132 2031 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263825622120 0.827939672823 4 6 3 6 0321 0132 0132 2310 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 -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 1.302209295415 1.172572392833 5 5 6 6 3201 0132 1230 3012 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 1 0 -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 0.323905405971 0.361723628798 ==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' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_1001_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0101_0']), '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_2'], 'c_0011_6' : negation(d['c_0011_5']), '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_2']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : negation(d['c_0101_1']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : negation(d['c_1001_3']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_5'])})} 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_0, c_0101_1, c_0110_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 10/3*c_0101_1^2 - 25/3*c_0101_1 + 11/3, c_0011_0 - 1, c_0011_2 - c_0101_1 - 1, c_0011_5 + c_0101_1^2 + 2*c_0101_1, c_0101_0 + c_0101_1, c_0101_1^3 + 3*c_0101_1^2 - 1, c_0110_6 + 1, c_1001_3 + 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_0, c_0101_1, c_0110_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 1306243387676/296158869*c_1001_3^14 + 1577188123648/296158869*c_1001_3^13 - 8118292899175/296158869*c_1001_3^12 + 12107484003062/296158869*c_1001_3^11 - 21834005181389/296158869*c_1001_3^10 + 29091076055986/296158869*c_1001_3^9 - 394388343641/10968847*c_1001_3^8 - 4964440685950/296158869*c_1001_3^7 + 66310164248669/296158869*c_1001_3^6 - 49815930188542/98719623*c_1001_3^5 + 171127778240651/296158869*c_1001_3^4 - 12077948026829/32906541*c_1001_3^3 + 8493026985110/296158869*c_1001_3^2 + 25918948351727/296158869*c_1001_3 - 8604196360082/296158869, c_0011_0 - 1, c_0011_2 + 912533542/296158869*c_1001_3^14 - 413827853/296158869*c_1001_3^13 + 5221205885/296158869*c_1001_3^12 - 4429975540/296158869*c_1001_3^11 + 11093328334/296158869*c_1001_3^10 - 11116333079/296158869*c_1001_3^9 - 105957952/10968847*c_1001_3^8 + 3426748955/296158869*c_1001_3^7 - 43883643004/296158869*c_1001_3^6 + 23650488668/98719623*c_1001_3^5 - 59313521398/296158869*c_1001_3^4 + 6389927776/98719623*c_1001_3^3 + 20501846945/296158869*c_1001_3^2 - 8745731356/296158869*c_1001_3 - 1883100143/296158869, c_0011_5 - 940992478/296158869*c_1001_3^14 + 420844397/296158869*c_1001_3^13 - 5434953122/296158869*c_1001_3^12 + 4541872288/296158869*c_1001_3^11 - 11731374532/296158869*c_1001_3^10 + 11545088219/296158869*c_1001_3^9 + 85621278/10968847*c_1001_3^8 - 3074410763/296158869*c_1001_3^7 + 45305755657/296158869*c_1001_3^6 - 24314071556/98719623*c_1001_3^5 + 63290559802/296158869*c_1001_3^4 - 7521209998/98719623*c_1001_3^3 - 17797819643/296158869*c_1001_3^2 + 8038180624/296158869*c_1001_3 + 1618178546/296158869, c_0101_0 + 498705689/296158869*c_1001_3^14 - 253995367/296158869*c_1001_3^13 + 2870292796/296158869*c_1001_3^12 - 2594674796/296158869*c_1001_3^11 + 6221804219/296158869*c_1001_3^10 - 6510998872/296158869*c_1001_3^9 - 42071065/10968847*c_1001_3^8 + 1743034096/296158869*c_1001_3^7 - 23952022364/296158869*c_1001_3^6 + 13384211560/98719623*c_1001_3^5 - 34669695650/296158869*c_1001_3^4 + 4400526203/98719623*c_1001_3^3 + 9504939484/296158869*c_1001_3^2 - 4620700769/296158869*c_1001_3 - 1208692411/296158869, c_0101_1 + 244710322/296158869*c_1001_3^14 - 121941338/296158869*c_1001_3^13 + 1394970716/296158869*c_1001_3^12 - 1258781116/296158869*c_1001_3^11 + 2964409219/296158869*c_1001_3^10 - 3130741511/296158869*c_1001_3^9 - 27796087/10968847*c_1001_3^8 + 983262086/296158869*c_1001_3^7 - 11712756976/296158869*c_1001_3^6 + 6563074817/98719623*c_1001_3^5 - 16222057042/296158869*c_1001_3^4 + 1838431324/98719623*c_1001_3^3 + 5353413011/296158869*c_1001_3^2 - 2704809478/296158869*c_1001_3 - 498705689/296158869, c_0110_6 - 20035176/10968847*c_1001_3^14 + 10026770/10968847*c_1001_3^13 - 113425829/10968847*c_1001_3^12 + 102750300/10968847*c_1001_3^11 - 238535438/10968847*c_1001_3^10 + 252691901/10968847*c_1001_3^9 + 71100384/10968847*c_1001_3^8 - 86505843/10968847*c_1001_3^7 + 961609581/10968847*c_1001_3^6 - 1596306673/10968847*c_1001_3^5 + 1302715902/10968847*c_1001_3^4 - 389225195/10968847*c_1001_3^3 - 501249630/10968847*c_1001_3^2 + 212351526/10968847*c_1001_3 + 43760019/10968847, c_1001_3^15 - c_1001_3^14 + 6*c_1001_3^13 - 8*c_1001_3^12 + 15*c_1001_3^11 - 19*c_1001_3^10 + 4*c_1001_3^9 + 5*c_1001_3^8 - 50*c_1001_3^7 + 104*c_1001_3^6 - 109*c_1001_3^5 + 59*c_1001_3^4 + 8*c_1001_3^3 - 20*c_1001_3^2 + 3*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB