Magma V2.19-8 Tue Aug 20 2013 16:19:23 on localhost [Seed = 2412647048] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3493 geometric_solution 6.75141498 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 3201 0 0 0 0 0 -1 0 1 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 -2 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 0.370678224784 0.921686416097 0 3 4 0 0132 0132 0132 3201 0 0 0 0 0 -1 0 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 1 0 -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 0.332348400307 0.705435878940 5 0 5 0 0132 2310 1023 0132 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 1 -1 -1 0 0 1 1 -1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624404553223 0.933913022389 6 1 4 6 0132 0132 1302 1302 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 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 0.370678224784 0.921686416097 3 5 6 1 2031 2103 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.453459952857 1.160074663141 2 4 2 6 0132 2103 1023 0213 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 1 0 -1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707709036706 0.747760278821 3 4 3 5 0132 3201 2031 0213 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 -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 0.505255423587 0.739982436520 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_4']), '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' : negation(d['c_0011_0']), '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' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 1057829824329091/379744842171392*c_1001_1^15 + 71498940157482733/2088596631942656*c_1001_1^13 + 1506636375838343/8421760612672*c_1001_1^11 + 28497813254695935/65268644748208*c_1001_1^9 + 314775112716876765/522149157985664*c_1001_1^7 + 6205058216411249/261074578992832*c_1001_1^5 - 4415154820367365/65268644748208*c_1001_1^3 - 978192356983013/32634322374104*c_1001_1, c_0011_0 - 1, c_0011_2 - 5447244695805/6124916809216*c_1001_1^14 - 8719286263173/765614601152*c_1001_1^12 - 6024437827113/95701825144*c_1001_1^10 - 32787907303607/191403650288*c_1001_1^8 - 212502778775617/765614601152*c_1001_1^6 - 13566217958369/95701825144*c_1001_1^4 - 3570475946253/95701825144*c_1001_1^2 - 31325902543/11962728143, c_0011_4 - 24082848322357/94936210542848*c_1001_1^14 - 43026112434073/11867026317856*c_1001_1^12 - 4353147792605/191403650288*c_1001_1^10 - 222547319615871/2966756579464*c_1001_1^8 - 1766536817242233/11867026317856*c_1001_1^6 - 223175786381419/1483378289732*c_1001_1^4 - 87443303780639/1483378289732*c_1001_1^2 - 4345505895973/370844572433, c_0101_0 + 147391407203777/379744842171392*c_1001_1^15 + 244348841524357/47468105271424*c_1001_1^13 + 11366381386679/382807300576*c_1001_1^11 + 1028460768155375/11867026317856*c_1001_1^9 + 7206978775959909/47468105271424*c_1001_1^7 + 642484172966101/5933513158928*c_1001_1^5 + 182863836198549/5933513158928*c_1001_1^3 + 1557560907913/370844572433*c_1001_1, c_0101_1 - 57005868331775/189872421085696*c_1001_1^14 - 183319369045963/47468105271424*c_1001_1^12 - 1028292074767/47850912572*c_1001_1^10 - 351621653070973/5933513158928*c_1001_1^8 - 2328635393270971/23734052635712*c_1001_1^6 - 331573057929135/5933513158928*c_1001_1^4 - 57221539844583/2966756579464*c_1001_1^2 - 2064979913503/741689144866, c_0101_4 - 368768048765589/379744842171392*c_1001_1^15 - 302500365952545/23734052635712*c_1001_1^13 - 13910418636869/191403650288*c_1001_1^11 - 2475652352571559/11867026317856*c_1001_1^9 - 17127320897099657/47468105271424*c_1001_1^7 - 731388187794867/2966756579464*c_1001_1^5 - 486736040651197/5933513158928*c_1001_1^3 - 9110784795153/741689144866*c_1001_1, c_1001_1^16 + 1600/121*c_1001_1^14 + 9224/121*c_1001_1^12 + 27040/121*c_1001_1^10 + 48360/121*c_1001_1^8 + 37376/121*c_1001_1^6 + 16768/121*c_1001_1^4 + 4096/121*c_1001_1^2 + 512/121 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB