Magma V2.19-8 Tue Aug 20 2013 16:17:50 on localhost [Seed = 475889918] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2069 geometric_solution 5.58798934 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 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 -1 0 0 0 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625271573384 0.799319382850 0 3 4 4 0132 0132 2310 0132 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 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 0.119732802684 0.750950099997 5 5 0 3 0132 2310 0132 0132 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 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 0.119732802684 0.750950099997 6 1 2 6 0132 0132 0132 1023 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 0 0 0 0 0.868417337692 0.525261999759 5 1 1 5 1230 3201 0132 3012 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 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 -0.457541837738 0.678107696587 2 4 4 2 0132 3012 1230 3201 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 -1 0 1 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 -0.457541837738 0.678107696587 3 6 6 3 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.227774305364 0.350341391825 ==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' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], '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' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(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_6'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 130010078057/9592891*c_0101_6^23 + 703601013804/9592891*c_0101_6^22 - 96314732551/872081*c_0101_6^21 - 8321816470281/9592891*c_0101_6^20 + 3570856757133/9592891*c_0101_6^19 + 603806282417/124583*c_0101_6^18 - 5131512987842/9592891*c_0101_6^17 - 21598095271427/1370413*c_0101_6^16 - 1390144907159/9592891*c_0101_6^15 + 312881953686191/9592891*c_0101_6^14 + 384252078383/1370413*c_0101_6^13 - 39816977040481/872081*c_0101_6^12 + 1245156607531/1370413*c_0101_6^11 + 409664780794029/9592891*c_0101_6^10 - 16125153176619/9592891*c_0101_6^9 - 251499414722565/9592891*c_0101_6^8 + 11304475389912/9592891*c_0101_6^7 + 9043798657123/872081*c_0101_6^6 - 4023244065361/9592891*c_0101_6^5 - 24375940917430/9592891*c_0101_6^4 + 9416852666/124583*c_0101_6^3 + 3364883831879/9592891*c_0101_6^2 - 52559974804/9592891*c_0101_6 - 199996713766/9592891, c_0011_0 - 1, c_0011_2 - 76456428/45899*c_0101_6^23 - 410249444/45899*c_0101_6^22 + 642668790/45899*c_0101_6^21 + 4869244057/45899*c_0101_6^20 - 2323669244/45899*c_0101_6^19 - 3898165214/6557*c_0101_6^18 + 4221366334/45899*c_0101_6^17 + 12711235780/6557*c_0101_6^16 - 2918120631/45899*c_0101_6^15 - 184628622284/45899*c_0101_6^14 + 815005612/6557*c_0101_6^13 + 258702505245/45899*c_0101_6^12 - 2096154887/6557*c_0101_6^11 - 242078350701/45899*c_0101_6^10 + 17585820753/45899*c_0101_6^9 + 148750796224/45899*c_0101_6^8 - 10947330602/45899*c_0101_6^7 - 58978611597/45899*c_0101_6^6 + 3734456113/45899*c_0101_6^5 + 14525064376/45899*c_0101_6^4 - 95008790/6557*c_0101_6^3 - 2024343212/45899*c_0101_6^2 + 48440358/45899*c_0101_6 + 122327845/45899, c_0011_4 + 76456428/45899*c_0101_6^23 + 410249444/45899*c_0101_6^22 - 642668790/45899*c_0101_6^21 - 4869244057/45899*c_0101_6^20 + 2323669244/45899*c_0101_6^19 + 3898165214/6557*c_0101_6^18 - 4221366334/45899*c_0101_6^17 - 12711235780/6557*c_0101_6^16 + 2918120631/45899*c_0101_6^15 + 184628622284/45899*c_0101_6^14 - 815005612/6557*c_0101_6^13 - 258702505245/45899*c_0101_6^12 + 2096154887/6557*c_0101_6^11 + 242078350701/45899*c_0101_6^10 - 17585820753/45899*c_0101_6^9 - 148750796224/45899*c_0101_6^8 + 10947330602/45899*c_0101_6^7 + 58978611597/45899*c_0101_6^6 - 3734456113/45899*c_0101_6^5 - 14525064376/45899*c_0101_6^4 + 95008790/6557*c_0101_6^3 + 2024343212/45899*c_0101_6^2 - 48440358/45899*c_0101_6 - 122327845/45899, c_0101_0 - 74523403/45899*c_0101_6^23 - 398370404/45899*c_0101_6^22 + 633878536/45899*c_0101_6^21 + 4729620451/45899*c_0101_6^20 - 2358578009/45899*c_0101_6^19 - 3787132389/6557*c_0101_6^18 + 4664189563/45899*c_0101_6^17 + 12347574219/6557*c_0101_6^16 - 4713485395/45899*c_0101_6^15 - 179273023808/45899*c_0101_6^14 + 1369262115/6557*c_0101_6^13 + 250872129754/45899*c_0101_6^12 - 2860141510/6557*c_0101_6^11 - 234131545010/45899*c_0101_6^10 + 22506985566/45899*c_0101_6^9 + 143338773306/45899*c_0101_6^8 - 13874928136/45899*c_0101_6^7 - 56571035890/45899*c_0101_6^6 + 4798916890/45899*c_0101_6^5 + 13851936863/45899*c_0101_6^4 - 125503609/6557*c_0101_6^3 - 1916109375/45899*c_0101_6^2 + 66453356/45899*c_0101_6 + 114623773/45899, c_0101_1 + 17*c_0101_6^23 + 100*c_0101_6^22 - 96*c_0101_6^21 - 1157*c_0101_6^20 - 37*c_0101_6^19 + 6343*c_0101_6^18 + 2145*c_0101_6^17 - 20332*c_0101_6^16 - 9316*c_0101_6^15 + 41629*c_0101_6^14 + 19145*c_0101_6^13 - 58747*c_0101_6^12 - 24823*c_0101_6^11 + 56315*c_0101_6^10 + 21605*c_0101_6^9 - 35789*c_0101_6^8 - 12510*c_0101_6^7 + 14736*c_0101_6^6 + 4636*c_0101_6^5 - 3771*c_0101_6^4 - 1007*c_0101_6^3 + 545*c_0101_6^2 + 98*c_0101_6 - 34, c_0101_3 - c_0101_6^23 - 6*c_0101_6^22 + 5*c_0101_6^21 + 69*c_0101_6^20 + 10*c_0101_6^19 - 376*c_0101_6^18 - 171*c_0101_6^17 + 1198*c_0101_6^16 + 699*c_0101_6^15 - 2437*c_0101_6^14 - 1454*c_0101_6^13 + 3428*c_0101_6^12 + 1949*c_0101_6^11 - 3285*c_0101_6^10 - 1772*c_0101_6^9 + 2090*c_0101_6^8 + 1086*c_0101_6^7 - 862*c_0101_6^6 - 438*c_0101_6^5 + 221*c_0101_6^4 + 111*c_0101_6^3 - 32*c_0101_6^2 - 15*c_0101_6 + 2, c_0101_6^24 + 6*c_0101_6^23 - 5*c_0101_6^22 - 69*c_0101_6^21 - 10*c_0101_6^20 + 376*c_0101_6^19 + 171*c_0101_6^18 - 1198*c_0101_6^17 - 699*c_0101_6^16 + 2437*c_0101_6^15 + 1454*c_0101_6^14 - 3428*c_0101_6^13 - 1949*c_0101_6^12 + 3285*c_0101_6^11 + 1772*c_0101_6^10 - 2090*c_0101_6^9 - 1086*c_0101_6^8 + 862*c_0101_6^7 + 438*c_0101_6^6 - 221*c_0101_6^5 - 111*c_0101_6^4 + 32*c_0101_6^3 + 16*c_0101_6^2 - 2*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB