Magma V2.19-8 Tue Aug 20 2013 16:17:36 on localhost [Seed = 1242289837] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1840 geometric_solution 5.48907405 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 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 1.639289680870 0.480841290576 0 2 3 0 3201 0132 0132 0132 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 1 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 0.780002503937 0.583016077706 4 1 3 5 0132 0132 1302 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489520629042 0.576101725306 2 5 4 1 2031 2310 1023 0132 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 -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 0.489520629042 0.576101725306 2 6 3 6 0132 0132 1023 2310 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 -1 1 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 0.371064798542 1.487282347382 5 5 2 3 1302 2031 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517812062288 0.461108508613 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.435054313710 0.148334356110 ==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_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0011_5, c_0101_0, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 117946942089228800612544/3223693641143902942673*c_0110_6^18 + 22392561206114361867124/460527663020557563239*c_0110_6^17 - 2267422117128338720951218/3223693641143902942673*c_0110_6^16 + 223686780591107185273612/460527663020557563239*c_0110_6^15 + 9159792952188555376387637/3223693641143902942673*c_0110_6^14 - 10309962978151340058820056/3223693641143902942673*c_0110_6^13 - 17492919163278614861062792/3223693641143902942673*c_0110_6^12 + 27565391273307660440408446/3223693641143902942673*c_0110_6^11 + 19563320969767976637119620/3223693641143902942673*c_0110_6^10 - 43601677606882411881313394/3223693641143902942673*c_0110_6^9 - 2354624591521729834218963/460527663020557563239*c_0110_6^8 + 43466140715650958383671067/3223693641143902942673*c_0110_6^7 + 11174030538488966189329485/3223693641143902942673*c_0110_6^6 - 29258747106705536284471820/3223693641143902942673*c_0110_6^5 - 5810827681643851202892564/3223693641143902942673*c_0110_6^4 + 12174953665558641416175564/3223693641143902942673*c_0110_6^3 + 436817251610944375963790/460527663020557563239*c_0110_6^2 - 507369751965372781443927/3223693641143902942673*c_0110_6 + 396212231153365630604901/3223693641143902942673, c_0011_0 - 1, c_0011_1 + 4728704351361471752/460527663020557563239*c_0110_6^18 - 128928162385856145214/460527663020557563239*c_0110_6^17 - 185875868500803075645/460527663020557563239*c_0110_6^16 + 2689602679570637259111/460527663020557563239*c_0110_6^15 - 3110217990442551233345/460527663020557563239*c_0110_6^14 - 8148166079409588729617/460527663020557563239*c_0110_6^13 + 15370489421410280737318/460527663020557563239*c_0110_6^12 + 9330289095490035524797/460527663020557563239*c_0110_6^11 - 33206622413728638900064/460527663020557563239*c_0110_6^10 - 673753785945262149528/460527663020557563239*c_0110_6^9 + 42803433000447723225963/460527663020557563239*c_0110_6^8 - 7719893656610112706633/460527663020557563239*c_0110_6^7 - 36360933578830886009628/460527663020557563239*c_0110_6^6 + 9308646550078188711619/460527663020557563239*c_0110_6^5 + 21336379058491002979644/460527663020557563239*c_0110_6^4 - 6008983752540812757870/460527663020557563239*c_0110_6^3 - 6604835224961401827129/460527663020557563239*c_0110_6^2 + 731180225340041454632/460527663020557563239*c_0110_6 - 195835744272532205771/460527663020557563239, c_0011_3 - 264425885024343360304/460527663020557563239*c_0110_6^18 - 302500226646976694712/460527663020557563239*c_0110_6^17 + 5078852105631824142970/460527663020557563239*c_0110_6^16 - 4499864656153578978129/460527663020557563239*c_0110_6^15 - 18554385739711529200272/460527663020557563239*c_0110_6^14 + 25109661989502955475774/460527663020557563239*c_0110_6^13 + 31290247886440916645371/460527663020557563239*c_0110_6^12 - 61117937244710544719780/460527663020557563239*c_0110_6^11 - 29131964441394829181159/460527663020557563239*c_0110_6^10 + 89705840805008843813972/460527663020557563239*c_0110_6^9 + 20606501379360469697670/460527663020557563239*c_0110_6^8 - 84354842739550357676268/460527663020557563239*c_0110_6^7 - 12886686294541883347583/460527663020557563239*c_0110_6^6 + 54162122686940765611450/460527663020557563239*c_0110_6^5 + 7352420012333721474163/460527663020557563239*c_0110_6^4 - 20710243349983476750960/460527663020557563239*c_0110_6^3 - 5633183860619280591150/460527663020557563239*c_0110_6^2 - 112827420071911221236/460527663020557563239*c_0110_6 - 387174254508400673141/460527663020557563239, c_0011_5 + 61228005396983082490/460527663020557563239*c_0110_6^18 + 66119344509889565369/460527663020557563239*c_0110_6^17 - 1200392441360686357793/460527663020557563239*c_0110_6^16 + 1123884882280468898533/460527663020557563239*c_0110_6^15 + 4625289431609875601740/460527663020557563239*c_0110_6^14 - 6985010170829138985808/460527663020557563239*c_0110_6^13 - 7364253170966061779768/460527663020557563239*c_0110_6^12 + 17687226703664998928407/460527663020557563239*c_0110_6^11 + 4687399025102360694926/460527663020557563239*c_0110_6^10 - 25846989039530423785183/460527663020557563239*c_0110_6^9 + 286356186729430086712/460527663020557563239*c_0110_6^8 + 24092892523652134975523/460527663020557563239*c_0110_6^7 - 2559872076065643333742/460527663020557563239*c_0110_6^6 - 15756960554758063843832/460527663020557563239*c_0110_6^5 + 1984167876388140309728/460527663020557563239*c_0110_6^4 + 6519523402111578124275/460527663020557563239*c_0110_6^3 - 545134113935224722576/460527663020557563239*c_0110_6^2 - 662395273351360821066/460527663020557563239*c_0110_6 + 66134957332581748142/460527663020557563239, c_0101_0 + 276054134053589363936/460527663020557563239*c_0110_6^18 + 282733562223980252620/460527663020557563239*c_0110_6^17 - 5343701470551599723116/460527663020557563239*c_0110_6^16 + 5302549481939014731477/460527663020557563239*c_0110_6^15 + 18823114699038930422577/460527663020557563239*c_0110_6^14 - 28139515100543857291124/460527663020557563239*c_0110_6^13 - 29805512921908871913106/460527663020557563239*c_0110_6^12 + 66069725453013593865628/460527663020557563239*c_0110_6^11 + 24369313236727681834080/460527663020557563239*c_0110_6^10 - 94416419515398708821400/460527663020557563239*c_0110_6^9 - 14532391543311461406432/460527663020557563239*c_0110_6^8 + 88126645448475213530819/460527663020557563239*c_0110_6^7 + 8548524665497781366936/460527663020557563239*c_0110_6^6 - 56374603215008813348689/460527663020557563239*c_0110_6^5 - 4424192452600646109710/460527663020557563239*c_0110_6^4 + 21688847987400625161257/460527663020557563239*c_0110_6^3 + 5308777634972646492849/460527663020557563239*c_0110_6^2 - 144487853124395836790/460527663020557563239*c_0110_6 + 74765204577796496938/460527663020557563239, c_0110_5 - 170738596021656026994/460527663020557563239*c_0110_6^18 - 194812468029693867303/460527663020557563239*c_0110_6^17 + 3295830742923594906264/460527663020557563239*c_0110_6^16 - 2921889218043144574814/460527663020557563239*c_0110_6^15 - 12293624767155526102112/460527663020557563239*c_0110_6^14 + 16982189763963843171957/460527663020557563239*c_0110_6^13 + 20620781989582292257448/460527663020557563239*c_0110_6^12 - 42152790492482623545616/460527663020557563239*c_0110_6^11 - 18068936233023552699206/460527663020557563239*c_0110_6^10 + 62632891785471606015182/460527663020557563239*c_0110_6^9 + 10176392154040382399668/460527663020557563239*c_0110_6^8 - 59831598634978729463551/460527663020557563239*c_0110_6^7 - 3711256259639270369353/460527663020557563239*c_0110_6^6 + 39299379173369398073585/460527663020557563239*c_0110_6^5 + 604546753692012697999/460527663020557563239*c_0110_6^4 - 15431525023209594668627/460527663020557563239*c_0110_6^3 - 1502623235550319510128/460527663020557563239*c_0110_6^2 + 658748423315934683389/460527663020557563239*c_0110_6 - 190120213859775884779/460527663020557563239, c_0110_6^19 + 3/2*c_0110_6^18 - 19*c_0110_6^17 + 10*c_0110_6^16 + 80*c_0110_6^15 - 149/2*c_0110_6^14 - 163*c_0110_6^13 + 419/2*c_0110_6^12 + 204*c_0110_6^11 - 685/2*c_0110_6^10 - 199*c_0110_6^9 + 689/2*c_0110_6^8 + 153*c_0110_6^7 - 461/2*c_0110_6^6 - 88*c_0110_6^5 + 187/2*c_0110_6^4 + 83/2*c_0110_6^3 + c_0110_6^2 + 3*c_0110_6 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB