Magma V2.19-8 Tue Aug 20 2013 16:16:41 on localhost [Seed = 2227509327] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0970 geometric_solution 4.86418071 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 0 -1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.273453007146 1.382874995625 0 2 4 2 0132 3012 0132 1302 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759273477168 0.750574573179 1 0 1 4 1230 0132 2031 0132 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 -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 0.759273477168 0.750574573179 3 0 3 0 2031 2310 1302 0132 0 0 0 0 0 1 0 -1 0 0 0 0 1 0 0 -1 0 1 -1 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 -0.864537142507 0.533046740790 5 5 2 1 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 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 -0.322115489199 0.439717364261 4 6 4 6 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.243134590854 2.784385342549 5 5 6 6 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.169518673958 0.162530821654 ==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' : 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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0110_6'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 33 Groebner basis: [ t - 9946123387/1760*c_0110_6^32 - 52586996623/1760*c_0110_6^31 + 18025639973/160*c_0110_6^30 + 1320692728471/1760*c_0110_6^29 - 145514126073/176*c_0110_6^28 - 7000386855123/880*c_0110_6^27 + 2424765755817/880*c_0110_6^26 + 4220541146165/88*c_0110_6^25 - 391500981423/80*c_0110_6^24 - 29863789834143/160*c_0110_6^23 + 6590252316639/440*c_0110_6^22 + 876966785565201/1760*c_0110_6^21 - 146360514948137/1760*c_0110_6^20 - 327523204994317/352*c_0110_6^19 + 242094095706873/880*c_0110_6^18 + 1067258880078151/880*c_0110_6^17 - 16565761513523/32*c_0110_6^16 - 387756157253823/352*c_0110_6^15 + 1063061212980369/1760*c_0110_6^14 + 614036249111589/880*c_0110_6^13 - 814879966607341/1760*c_0110_6^12 - 33813296376553/110*c_0110_6^11 + 211682788367227/880*c_0110_6^10 + 32735223787537/352*c_0110_6^9 - 7527214585695/88*c_0110_6^8 - 6597668886761/352*c_0110_6^7 + 36207516098961/1760*c_0110_6^6 + 4161428030929/1760*c_0110_6^5 - 5649983492323/1760*c_0110_6^4 - 288234474679/1760*c_0110_6^3 + 51801964999/176*c_0110_6^2 + 975815329/220*c_0110_6 - 21254310531/1760, c_0011_0 - 1, c_0011_3 - 437887*c_0110_6^32 - 2402207*c_0110_6^31 + 8259183*c_0110_6^30 + 59794265*c_0110_6^29 - 52476061*c_0110_6^28 - 627207516*c_0110_6^27 + 93709253*c_0110_6^26 + 3741107828*c_0110_6^25 + 321301136*c_0110_6^24 - 14449283485*c_0110_6^23 - 1473318174*c_0110_6^22 + 38548183127*c_0110_6^21 + 326892041*c_0110_6^20 - 72655178688*c_0110_6^19 + 9222928614*c_0110_6^18 + 96736535198*c_0110_6^17 - 25232941876*c_0110_6^16 - 90889062640*c_0110_6^15 + 34300666504*c_0110_6^14 + 60326911451*c_0110_6^13 - 28755537598*c_0110_6^12 - 28244405256*c_0110_6^11 + 15931761705*c_0110_6^10 + 9237107213*c_0110_6^9 - 5966217157*c_0110_6^8 - 2059015568*c_0110_6^7 + 1499549062*c_0110_6^6 + 297305345*c_0110_6^5 - 243047090*c_0110_6^4 - 24989878*c_0110_6^3 + 23010046*c_0110_6^2 + 924628*c_0110_6 - 968695, c_0011_4 + c_0110_6^32 + 6*c_0110_6^31 - 16*c_0110_6^30 - 146*c_0110_6^29 + 49*c_0110_6^28 + 1488*c_0110_6^27 + 524*c_0110_6^26 - 8594*c_0110_6^25 - 5102*c_0110_6^24 + 32285*c_0110_6^23 + 20115*c_0110_6^22 - 85079*c_0110_6^21 - 45200*c_0110_6^20 + 162422*c_0110_6^19 + 62517*c_0110_6^18 - 226032*c_0110_6^17 - 53707*c_0110_6^16 + 229640*c_0110_6^15 + 26598*c_0110_6^14 - 170873*c_0110_6^13 - 4375*c_0110_6^12 + 93375*c_0110_6^11 - 3314*c_0110_6^10 - 37409*c_0110_6^9 + 2685*c_0110_6^8 + 10875*c_0110_6^7 - 948*c_0110_6^6 - 2238*c_0110_6^5 + 190*c_0110_6^4 + 310*c_0110_6^3 - 21*c_0110_6^2 - 25*c_0110_6 + 1, c_0101_0 - 2719*c_0110_6^32 - 14583*c_0110_6^31 + 53598*c_0110_6^30 + 367734*c_0110_6^29 - 380060*c_0110_6^28 - 3921868*c_0110_6^27 + 1106777*c_0110_6^26 + 23852875*c_0110_6^25 - 851259*c_0110_6^24 - 94029200*c_0110_6^23 + 910907*c_0110_6^22 + 255866609*c_0110_6^21 - 23576225*c_0110_6^20 - 491670005*c_0110_6^19 + 106818005*c_0110_6^18 + 668270726*c_0110_6^17 - 230267978*c_0110_6^16 - 642842409*c_0110_6^15 + 295462914*c_0110_6^14 + 438597826*c_0110_6^13 - 246846476*c_0110_6^12 - 212046054*c_0110_6^11 + 139957888*c_0110_6^10 + 71955131*c_0110_6^9 - 54608726*c_0110_6^8 - 16720553*c_0110_6^7 + 14520994*c_0110_6^6 + 2526805*c_0110_6^5 - 2527609*c_0110_6^4 - 222703*c_0110_6^3 + 261061*c_0110_6^2 + 8616*c_0110_6 - 12191, c_0101_1 + 24*c_0110_6^32 + 143*c_0110_6^31 - 389*c_0110_6^30 - 3482*c_0110_6^29 + 1306*c_0110_6^28 + 35517*c_0110_6^27 + 11137*c_0110_6^26 - 205292*c_0110_6^25 - 113330*c_0110_6^24 + 771348*c_0110_6^23 + 445373*c_0110_6^22 - 2029726*c_0110_6^21 - 979606*c_0110_6^20 + 3858249*c_0110_6^19 + 1292786*c_0110_6^18 - 5324863*c_0110_6^17 - 1000419*c_0110_6^16 + 5339035*c_0110_6^15 + 355005*c_0110_6^14 - 3897910*c_0110_6^13 + 92471*c_0110_6^12 + 2074502*c_0110_6^11 - 177286*c_0110_6^10 - 801127*c_0110_6^9 + 98535*c_0110_6^8 + 220906*c_0110_6^7 - 30942*c_0110_6^6 - 41889*c_0110_6^5 + 5850*c_0110_6^4 + 5012*c_0110_6^3 - 624*c_0110_6^2 - 294*c_0110_6 + 29, c_0101_2 + 274*c_0110_6^32 + 1617*c_0110_6^31 - 4524*c_0110_6^30 - 39441*c_0110_6^29 + 17011*c_0110_6^28 + 403199*c_0110_6^27 + 104608*c_0110_6^26 - 2336363*c_0110_6^25 - 1155821*c_0110_6^24 + 8795740*c_0110_6^23 + 4536689*c_0110_6^22 - 23147973*c_0110_6^21 - 9682524*c_0110_6^20 + 43864460*c_0110_6^19 + 11855058*c_0110_6^18 - 60087322*c_0110_6^17 - 7445102*c_0110_6^16 + 59498650*c_0110_6^15 + 194567*c_0110_6^14 - 42657593*c_0110_6^13 + 3716630*c_0110_6^12 + 22146711*c_0110_6^11 - 3327940*c_0110_6^10 - 8272836*c_0110_6^9 + 1575075*c_0110_6^8 + 2180946*c_0110_6^7 - 460212*c_0110_6^6 - 388460*c_0110_6^5 + 83440*c_0110_6^4 + 42397*c_0110_6^3 - 8654*c_0110_6^2 - 2164*c_0110_6 + 394, c_0110_6^33 + 6*c_0110_6^32 - 16*c_0110_6^31 - 146*c_0110_6^30 + 49*c_0110_6^29 + 1488*c_0110_6^28 + 524*c_0110_6^27 - 8594*c_0110_6^26 - 5102*c_0110_6^25 + 32285*c_0110_6^24 + 20115*c_0110_6^23 - 85079*c_0110_6^22 - 45200*c_0110_6^21 + 162422*c_0110_6^20 + 62517*c_0110_6^19 - 226032*c_0110_6^18 - 53707*c_0110_6^17 + 229640*c_0110_6^16 + 26598*c_0110_6^15 - 170873*c_0110_6^14 - 4375*c_0110_6^13 + 93375*c_0110_6^12 - 3314*c_0110_6^11 - 37409*c_0110_6^10 + 2685*c_0110_6^9 + 10875*c_0110_6^8 - 948*c_0110_6^7 - 2238*c_0110_6^6 + 190*c_0110_6^5 + 310*c_0110_6^4 - 21*c_0110_6^3 - 26*c_0110_6^2 + c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB