Magma V2.19-8 Tue Aug 20 2013 16:16:48 on localhost [Seed = 593674228] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1074 geometric_solution 4.94666004 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 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 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 -0.149502175592 0.080065047988 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 0 0 0 1 0 0 -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 -1 1 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 4.332288621185 2.723475300890 3 1 1 4 0132 3201 0132 0132 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 1 0 -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 -0.112244465829 0.421675260525 2 4 6 5 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521517902499 0.868520366561 6 5 2 3 1023 0132 0132 3201 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 -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 0.521517902499 0.868520366561 5 4 3 5 3012 0132 0132 1230 0 0 0 0 0 -1 0 1 -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 0 0 0 0 1 0 -1 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 0 0 0 0.982336251647 0.600329386854 6 4 6 3 2031 1023 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728967280692 0.430024633739 ==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_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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' : negation(d['c_0110_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : negation(d['c_0101_1']), '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_0101_3'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), '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_0101_0, c_0101_1, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 141855196372608209/8150657165748706*c_0110_4^18 + 727761885629739631/4075328582874353*c_0110_4^16 + 14237165957563738591/16301314331497412*c_0110_4^14 + 7316814113128560916/4075328582874353*c_0110_4^12 + 866400307842452233/32602628662994824*c_0110_4^10 - 23187282792457267871/4657518380427832*c_0110_4^8 - 2954017950584117123/582189797553479*c_0110_4^6 - 2318796254998280727/9315036760855664*c_0110_4^4 + 133013770617149925969/130410514651979296*c_0110_4^2 - 365725066641514407/4075328582874353, c_0011_0 - 1, c_0011_2 - 640924870282352/582189797553479*c_0110_4^18 - 6613288299817664/582189797553479*c_0110_4^16 - 32528822369994376/582189797553479*c_0110_4^14 - 67857871679124552/582189797553479*c_0110_4^12 - 4329720972069964/582189797553479*c_0110_4^10 + 183732159665510060/582189797553479*c_0110_4^8 + 196051449596620780/582189797553479*c_0110_4^6 + 17350761082385826/582189797553479*c_0110_4^4 - 36531691484090637/582189797553479*c_0110_4^2 + 2449039154199456/582189797553479, c_0011_4 + 770642153886016/582189797553479*c_0110_4^19 + 7990611294309880/582189797553479*c_0110_4^17 + 39532400387148944/582189797553479*c_0110_4^15 + 83739249532003252/582189797553479*c_0110_4^13 + 10103017631571488/582189797553479*c_0110_4^11 - 219424315695576034/582189797553479*c_0110_4^9 - 247822291916151338/582189797553479*c_0110_4^7 - 37212272200736936/582189797553479*c_0110_4^5 + 40072594085356177/582189797553479*c_0110_4^3 - 251727504572145/1164379595106958*c_0110_4, c_0101_0 + 299566575637548/582189797553479*c_0110_4^18 + 3107761314644536/582189797553479*c_0110_4^16 + 15386477952976970/582189797553479*c_0110_4^14 + 32652996185307112/582189797553479*c_0110_4^12 + 4170811031260219/582189797553479*c_0110_4^10 - 85227021874001319/582189797553479*c_0110_4^8 - 96896208712091724/582189797553479*c_0110_4^6 - 29489046945115055/1164379595106958*c_0110_4^4 + 63438839885369763/2328759190213916*c_0110_4^2 - 444651341044643/582189797553479, c_0101_1 - 572134250354684/582189797553479*c_0110_4^18 - 5902923242080104/582189797553479*c_0110_4^16 - 29039147130457602/582189797553479*c_0110_4^14 - 60612556865197840/582189797553479*c_0110_4^12 - 4092811710339479/582189797553479*c_0110_4^10 + 163624598040371123/582189797553479*c_0110_4^8 + 175444218873014368/582189797553479*c_0110_4^6 + 34704692728969911/1164379595106958*c_0110_4^4 - 126638910161622143/2328759190213916*c_0110_4^2 + 1647501227265841/582189797553479, c_0101_3 - 77942891817012/582189797553479*c_0110_4^18 - 805672643384104/582189797553479*c_0110_4^16 - 3952073618787350/582189797553479*c_0110_4^14 - 8144436953192040/582189797553479*c_0110_4^12 + 163484119481179/582189797553479*c_0110_4^10 + 23842264873039905/582189797553479*c_0110_4^8 + 23644845712838444/582189797553479*c_0110_4^6 - 4615911095073999/1164379595106958*c_0110_4^4 - 28731452736758813/2328759190213916*c_0110_4^2 + 1060176215830307/582189797553479, c_0110_4^20 + 10*c_0110_4^18 + 95/2*c_0110_4^16 + 90*c_0110_4^14 - 103/4*c_0110_4^12 - 1149/4*c_0110_4^10 - 217*c_0110_4^8 + 511/8*c_0110_4^6 + 1033/16*c_0110_4^4 - 81/4*c_0110_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB