Magma V2.19-8 Tue Aug 20 2013 16:19:24 on localhost [Seed = 1377029971] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3500 geometric_solution 6.76554233 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 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 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 0.535881090094 0.594298377687 0 3 0 4 0132 1302 2310 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 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.163155350839 0.928070474152 5 3 6 0 0132 3012 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 -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 0.715255973422 0.742507268698 2 4 0 1 1230 1302 0132 2031 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 0.890550246156 0.886778422407 5 6 1 3 1230 3012 0132 2031 0 0 0 0 0 0 0 0 -1 0 0 1 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 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 0.450262073749 1.174117211855 2 4 5 5 0132 3012 1230 3012 0 0 0 0 0 -1 1 0 0 0 1 -1 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 1 -1 0 0 0 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536838978966 0.912064065083 4 6 6 2 1230 1230 3012 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 -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 1.039986561504 0.863791220359 ==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_6'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_2']), '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_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0011_2'])})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 2*c_0101_0 - 3, c_0011_0 - 1, c_0011_2 - c_0101_0, c_0011_3 + 1, c_0011_4 + 1, c_0011_6 - c_0101_0, c_0101_0^2 + c_0101_0 - 1, c_0101_1 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 54557826293377499102/12544482842228575651*c_0101_0^17 - 51802049717320941448/12544482842228575651*c_0101_0^16 - 274930976640773732420/12544482842228575651*c_0101_0^15 + 968282855989968502639/12544482842228575651*c_0101_0^14 - 1370514725604797124318/12544482842228575651*c_0101_0^13 - 62640012264294664305/12544482842228575651*c_0101_0^12 + 3259762378599778880688/12544482842228575651*c_0101_0^11 - 5338583996364157825376/12544482842228575651*c_0101_0^10 + 6288745716849137124567/12544482842228575651*c_0101_0^9 + 1477337577475063544804/12544482842228575651*c_0101_0^8 - 2223459978063385396593/1792068977461225093*c_0101_0^7 + 5876018588959629171638/12544482842228575651*c_0101_0^6 + 8363266340342383313924/12544482842228575651*c_0101_0^5 - 2587116787468586372778/12544482842228575651*c_0101_0^4 - 4275007169915712435421/12544482842228575651*c_0101_0^3 + 7543279313602724239481/12544482842228575651*c_0101_0^2 - 4035990449274138772443/12544482842228575651*c_0101_0 + 1603486779352531064160/12544482842228575651, c_0011_0 - 1, c_0011_2 + 5396804622021900562/87811379895600029557*c_0101_0^17 - 2686562415843074465/87811379895600029557*c_0101_0^16 - 27792664331285045774/87811379895600029557*c_0101_0^15 + 83987155824754087988/87811379895600029557*c_0101_0^14 - 100545337510699466572/87811379895600029557*c_0101_0^13 - 46517273610527069256/87811379895600029557*c_0101_0^12 + 302873194819641239126/87811379895600029557*c_0101_0^11 - 410472027754634011934/87811379895600029557*c_0101_0^10 + 462836895456815062983/87811379895600029557*c_0101_0^9 + 347927801429893527201/87811379895600029557*c_0101_0^8 - 1381093057333942468631/87811379895600029557*c_0101_0^7 + 71562665342180844044/87811379895600029557*c_0101_0^6 + 114527718106700127877/12544482842228575651*c_0101_0^5 - 34054758127137368928/87811379895600029557*c_0101_0^4 - 421249889087660444201/87811379895600029557*c_0101_0^3 + 561598171059787118227/87811379895600029557*c_0101_0^2 - 39899198271312315954/12544482842228575651*c_0101_0 + 52530268862812912111/87811379895600029557, c_0011_3 + 657508601981692298/87811379895600029557*c_0101_0^17 - 1490750932207309284/87811379895600029557*c_0101_0^16 - 5868070940458922141/87811379895600029557*c_0101_0^15 + 13827404728831696103/87811379895600029557*c_0101_0^14 - 16794969400723170345/87811379895600029557*c_0101_0^13 - 13295468837014004201/87811379895600029557*c_0101_0^12 + 61306414598290686945/87811379895600029557*c_0101_0^11 - 62390115780857221997/87811379895600029557*c_0101_0^10 + 45802125154605755030/87811379895600029557*c_0101_0^9 + 8131022037269438668/87811379895600029557*c_0101_0^8 - 362032426115000190199/87811379895600029557*c_0101_0^7 - 69757082560907784750/87811379895600029557*c_0101_0^6 + 53650239011744484044/12544482842228575651*c_0101_0^5 + 351714238771182958225/87811379895600029557*c_0101_0^4 - 24173291138635731326/87811379895600029557*c_0101_0^3 + 77044028569984521398/87811379895600029557*c_0101_0^2 + 7006526549870563258/12544482842228575651*c_0101_0 + 47558541779360397617/87811379895600029557, c_0011_4 - 722367261756620217/87811379895600029557*c_0101_0^17 + 462330603017373610/87811379895600029557*c_0101_0^16 + 2998100778777046436/87811379895600029557*c_0101_0^15 - 11711799208890742863/87811379895600029557*c_0101_0^14 + 19001320164768219816/87811379895600029557*c_0101_0^13 - 4946471818974870721/87811379895600029557*c_0101_0^12 - 34802715171577963423/87811379895600029557*c_0101_0^11 + 76838145318248184331/87811379895600029557*c_0101_0^10 - 113613018824860954820/87811379895600029557*c_0101_0^9 + 260714784181922678/87811379895600029557*c_0101_0^8 + 163485643333070281529/87811379895600029557*c_0101_0^7 - 129317259357231577077/87811379895600029557*c_0101_0^6 + 13385168871455827217/12544482842228575651*c_0101_0^5 + 69398951182447328578/87811379895600029557*c_0101_0^4 - 97135708853718024428/87811379895600029557*c_0101_0^3 - 135818227814877275408/87811379895600029557*c_0101_0^2 + 2223976885411668056/1792068977461225093*c_0101_0 - 57952408520962200131/87811379895600029557, c_0011_6 - 2710242206178826097/87811379895600029557*c_0101_0^17 + 808641221175542964/87811379895600029557*c_0101_0^16 + 13155327371640122128/87811379895600029557*c_0101_0^15 - 39771582661869948040/87811379895600029557*c_0101_0^14 + 46517273610527069256/87811379895600029557*c_0101_0^13 + 20935082501672794594/87811379895600029557*c_0101_0^12 - 134605239069577944828/87811379895600029557*c_0101_0^11 + 184779659185813004457/87811379895600029557*c_0101_0^10 - 229198099745411714837/87811379895600029557*c_0101_0^9 - 173186673808364893225/87811379895600029557*c_0101_0^8 + 586847498544491024520/87811379895600029557*c_0101_0^7 - 2966942687659611963/87811379895600029557*c_0101_0^6 - 39080443618301566158/12544482842228575651*c_0101_0^5 + 21886347058039802613/87811379895600029557*c_0101_0^4 + 220938499133388463263/87811379895600029557*c_0101_0^3 - 152449981862565833282/87811379895600029557*c_0101_0^2 + 17166782720269700839/12544482842228575651*c_0101_0 - 82414575273578128995/87811379895600029557, c_0101_0^18 - c_0101_0^17 - 5*c_0101_0^16 + 18*c_0101_0^15 - 26*c_0101_0^14 + 60*c_0101_0^12 - 101*c_0101_0^11 + 120*c_0101_0^10 + 22*c_0101_0^9 - 288*c_0101_0^8 + 122*c_0101_0^7 + 148*c_0101_0^6 - 57*c_0101_0^5 - 74*c_0101_0^4 + 145*c_0101_0^3 - 80*c_0101_0^2 + 32*c_0101_0 + 1, c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB