Magma V2.19-8 Tue Aug 20 2013 16:18:15 on localhost [Seed = 1461111404] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2471 geometric_solution 5.80677405 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805331674833 0.975254734183 0 1 0 1 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500778468931 0.178808186141 4 0 5 5 0132 0132 1302 0132 0 0 0 0 0 0 0 0 -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 1 -1 0 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.528585449231 0.941548364617 5 4 0 4 1023 0321 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.188875104644 1.066160223190 2 3 6 3 0132 2310 0132 0321 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 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 0.221877263192 0.560813953395 2 3 2 6 2031 1023 0132 3012 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 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 0.266591416485 0.567564020207 6 6 5 4 1230 3012 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464310452790 1.168034021732 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_5'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0110_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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 577048956327023506/347737676020945277*c_0110_5^12 + 3286597311884569206/347737676020945277*c_0110_5^11 - 1565043593951052677/347737676020945277*c_0110_5^10 - 21084323022585341824/347737676020945277*c_0110_5^9 + 5192312466011018074/347737676020945277*c_0110_5^8 + 57909031393005957194/347737676020945277*c_0110_5^7 + 45713638653572718961/347737676020945277*c_0110_5^6 - 120673093867011644793/347737676020945277*c_0110_5^5 - 64852207261956130790/347737676020945277*c_0110_5^4 + 129517199026195658235/347737676020945277*c_0110_5^3 - 5327498288110475075/20455157412996781*c_0110_5^2 + 69694589908313955065/347737676020945277*c_0110_5 - 27989586291918287983/347737676020945277, c_0011_0 - 1, c_0011_3 + 37314353637472/1203244553705693*c_0110_5^12 - 196289730994257/1203244553705693*c_0110_5^11 + 11921547841977/1203244553705693*c_0110_5^10 + 1390825282116132/1203244553705693*c_0110_5^9 + 263044370526295/1203244553705693*c_0110_5^8 - 3796066475887407/1203244553705693*c_0110_5^7 - 4567227041600654/1203244553705693*c_0110_5^6 + 6389614478198003/1203244553705693*c_0110_5^5 + 7171112414155473/1203244553705693*c_0110_5^4 - 6097711606866369/1203244553705693*c_0110_5^3 + 2661974144556243/1203244553705693*c_0110_5^2 - 2406263983087769/1203244553705693*c_0110_5 - 246560691487481/1203244553705693, c_0011_6 - 38640133183354/1203244553705693*c_0110_5^12 + 209901847385036/1203244553705693*c_0110_5^11 - 32122931259928/1203244553705693*c_0110_5^10 - 1498739183452759/1203244553705693*c_0110_5^9 - 82140625887298/1203244553705693*c_0110_5^8 + 4384658052071240/1203244553705693*c_0110_5^7 + 4768254883387926/1203244553705693*c_0110_5^6 - 7702774602723250/1203244553705693*c_0110_5^5 - 8835136798783909/1203244553705693*c_0110_5^4 + 6681316688829339/1203244553705693*c_0110_5^3 - 2737893048971809/1203244553705693*c_0110_5^2 + 3062159282494120/1203244553705693*c_0110_5 + 521988863270334/1203244553705693, c_0101_0 - 11788972202167/1203244553705693*c_0110_5^12 + 95634418028572/1203244553705693*c_0110_5^11 - 169614737457071/1203244553705693*c_0110_5^10 - 474040768411683/1203244553705693*c_0110_5^9 + 1118211255258668/1203244553705693*c_0110_5^8 + 1808173880424949/1203244553705693*c_0110_5^7 - 1504719155786058/1203244553705693*c_0110_5^6 - 6720600410399428/1203244553705693*c_0110_5^5 + 1278362927310585/1203244553705693*c_0110_5^4 + 7979979250037309/1203244553705693*c_0110_5^3 - 4808446798275184/1203244553705693*c_0110_5^2 + 3337714146981964/1203244553705693*c_0110_5 - 671017403563814/1203244553705693, c_0101_1 - 17987506342346/1203244553705693*c_0110_5^12 + 85709025166489/1203244553705693*c_0110_5^11 + 38612415800047/1203244553705693*c_0110_5^10 - 672070940814889/1203244553705693*c_0110_5^9 - 391370362362179/1203244553705693*c_0110_5^8 + 1634786392355440/1203244553705693*c_0110_5^7 + 2703746458273533/1203244553705693*c_0110_5^6 - 1730707581608821/1203244553705693*c_0110_5^5 - 3639113690150955/1203244553705693*c_0110_5^4 + 2004628176112426/1203244553705693*c_0110_5^3 - 1663369863091022/1203244553705693*c_0110_5^2 + 396426586397794/1203244553705693*c_0110_5 + 1197091265758308/1203244553705693, c_0101_6 - 21956384532678/1203244553705693*c_0110_5^12 + 110068314521434/1203244553705693*c_0110_5^11 + 34714641760404/1203244553705693*c_0110_5^10 - 871963677030501/1203244553705693*c_0110_5^9 - 411297862065369/1203244553705693*c_0110_5^8 + 2546902859959138/1203244553705693*c_0110_5^7 + 3908769495711428/1203244553705693*c_0110_5^6 - 3374849296539913/1203244553705693*c_0110_5^5 - 7440176270881342/1203244553705693*c_0110_5^4 + 1632463251349633/1203244553705693*c_0110_5^3 + 505416272568819/1203244553705693*c_0110_5^2 + 2047974671263418/1203244553705693*c_0110_5 + 838233087132924/1203244553705693, c_0110_5^13 - 6*c_0110_5^12 + 4*c_0110_5^11 + 38*c_0110_5^10 - 20*c_0110_5^9 - 114*c_0110_5^8 - 54*c_0110_5^7 + 276*c_0110_5^6 + 109*c_0110_5^5 - 320*c_0110_5^4 + 136*c_0110_5^3 - 117*c_0110_5^2 + 49*c_0110_5 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB