Magma V2.19-8 Tue Aug 20 2013 16:16:22 on localhost [Seed = 3549581107] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0644 geometric_solution 4.63246391 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 1 0 -1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.738713241161 0.312525047146 0 2 2 0 3201 0132 3201 0132 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 0 0 0 -1 0 1 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 -0.393876831102 0.222315920028 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 -1 1 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.082709892609 1.404572824194 4 5 4 2 1302 0132 1230 0132 0 0 0 0 0 0 1 -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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645000561426 0.614066678872 5 3 2 3 3201 2031 0132 3012 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 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 0.645000561426 0.614066678872 6 3 6 4 0132 0132 1023 2310 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 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 0.659442871129 0.824669682833 5 6 5 6 0132 1302 1023 2031 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 -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 0.515563990053 0.151684558399 ==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' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0110_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1931165659625053/293986944784*c_0110_4^19 - 29038478867119939/587973889568*c_0110_4^18 - 6160190600636561/146993472392*c_0110_4^17 + 46608350100111335/587973889568*c_0110_4^16 - 207844654502016291/587973889568*c_0110_4^15 + 266222099100870365/587973889568*c_0110_4^14 - 9685307692107274/18374184049*c_0110_4^13 + 46087668233296667/146993472392*c_0110_4^12 + 208173584965642281/587973889568*c_0110_4^11 - 169360819143319135/587973889568*c_0110_4^10 + 313200963704135183/587973889568*c_0110_4^9 + 69243162777805503/587973889568*c_0110_4^8 + 41400636510934719/293986944784*c_0110_4^7 + 187867594501815661/587973889568*c_0110_4^6 - 413148247108691/45228760736*c_0110_4^5 - 3659726914753395/45228760736*c_0110_4^4 - 50363571876194099/293986944784*c_0110_4^3 - 125309879199772487/587973889568*c_0110_4^2 - 55592066491294635/587973889568*c_0110_4 - 8040027708234495/587973889568, c_0011_0 - 1, c_0011_1 + 2693727154280/1413398773*c_0110_4^19 + 20275794441780/1413398773*c_0110_4^18 + 17348521755017/1413398773*c_0110_4^17 - 32442645320184/1413398773*c_0110_4^16 + 144644921934603/1413398773*c_0110_4^15 - 184253257371519/1413398773*c_0110_4^14 + 213803223682642/1413398773*c_0110_4^13 - 125455315292393/1413398773*c_0110_4^12 - 147958994992756/1413398773*c_0110_4^11 + 118353576424115/1413398773*c_0110_4^10 - 217583801473298/1413398773*c_0110_4^9 - 50603362607214/1413398773*c_0110_4^8 - 56967902494316/1413398773*c_0110_4^7 - 131949132734845/1413398773*c_0110_4^6 + 3105291934504/1413398773*c_0110_4^5 + 33530722950950/1413398773*c_0110_4^4 + 70354158863789/1413398773*c_0110_4^3 + 87947035271754/1413398773*c_0110_4^2 + 39238444357330/1413398773*c_0110_4 + 5699904536556/1413398773, c_0011_3 + 5571287912039/11307190184*c_0110_4^19 + 42339019525871/11307190184*c_0110_4^18 + 38728931467185/11307190184*c_0110_4^17 - 32921687364747/5653595092*c_0110_4^16 + 146858845995707/5653595092*c_0110_4^15 - 356830047079443/11307190184*c_0110_4^14 + 201548306509333/5653595092*c_0110_4^13 - 208831516107821/11307190184*c_0110_4^12 - 43622130069265/1413398773*c_0110_4^11 + 121619029409785/5653595092*c_0110_4^10 - 215944214362795/5653595092*c_0110_4^9 - 145679760867393/11307190184*c_0110_4^8 - 106035272509047/11307190184*c_0110_4^7 - 71788899163433/2826797546*c_0110_4^6 - 3256654379661/5653595092*c_0110_4^5 + 75813742411989/11307190184*c_0110_4^4 + 147491229808937/11307190184*c_0110_4^3 + 47880152996949/2826797546*c_0110_4^2 + 44895622164173/5653595092*c_0110_4 + 13633655219941/11307190184, c_0101_0 - 918638226081/11307190184*c_0110_4^19 - 6384136460283/11307190184*c_0110_4^18 - 2157777943859/11307190184*c_0110_4^17 + 1602438413315/1413398773*c_0110_4^16 - 7061443674002/1413398773*c_0110_4^15 + 94486180402299/11307190184*c_0110_4^14 - 61595084079819/5653595092*c_0110_4^13 + 107133226045007/11307190184*c_0110_4^12 - 1370989264979/5653595092*c_0110_4^11 - 11476806127769/2826797546*c_0110_4^10 + 12484607534021/1413398773*c_0110_4^9 - 36903585941631/11307190184*c_0110_4^8 + 33427278309161/11307190184*c_0110_4^7 + 13752608187543/5653595092*c_0110_4^6 - 2405366628445/1413398773*c_0110_4^5 - 2805035920765/11307190184*c_0110_4^4 - 21215819378935/11307190184*c_0110_4^3 - 8670472027705/5653595092*c_0110_4^2 - 415173020441/2826797546*c_0110_4 + 611400909227/11307190184, c_0101_2 + 4031183653951/5653595092*c_0110_4^19 + 30579467160809/5653595092*c_0110_4^18 + 27634300603177/5653595092*c_0110_4^17 - 11948556714645/1413398773*c_0110_4^16 + 53317641661906/1413398773*c_0110_4^15 - 261567409684717/5653595092*c_0110_4^14 + 148628807349501/2826797546*c_0110_4^13 - 158483996945157/5653595092*c_0110_4^12 - 122995723818379/2826797546*c_0110_4^11 + 43893096961686/1413398773*c_0110_4^10 - 78671117911305/1413398773*c_0110_4^9 - 99775078971827/5653595092*c_0110_4^8 - 78647311610895/5653595092*c_0110_4^7 - 102798697203435/2826797546*c_0110_4^6 - 783938678206/1413398773*c_0110_4^5 + 53968542103283/5653595092*c_0110_4^4 + 106485997408593/5653595092*c_0110_4^3 + 68625660775153/2826797546*c_0110_4^2 + 15962225035261/1413398773*c_0110_4 + 9638998715591/5653595092, c_0101_5 - 35204100651303/22614380368*c_0110_4^19 - 264861240747041/22614380368*c_0110_4^18 - 225885054292149/22614380368*c_0110_4^17 + 106065734967729/5653595092*c_0110_4^16 - 473002770828817/5653595092*c_0110_4^15 + 2415498847096641/22614380368*c_0110_4^14 - 1403465262675781/11307190184*c_0110_4^13 + 1656572790912601/22614380368*c_0110_4^12 + 959149448638889/11307190184*c_0110_4^11 - 96555472074413/1413398773*c_0110_4^10 + 712112070899857/5653595092*c_0110_4^9 + 648452392396443/22614380368*c_0110_4^8 + 749821306382743/22614380368*c_0110_4^7 + 859586844310307/11307190184*c_0110_4^6 - 10909394386623/5653595092*c_0110_4^5 - 435951879268991/22614380368*c_0110_4^4 - 919243626959969/22614380368*c_0110_4^3 - 573190222462805/11307190184*c_0110_4^2 - 63826663362349/2826797546*c_0110_4 - 74179302181159/22614380368, c_0110_4^20 + 8*c_0110_4^19 + 10*c_0110_4^18 - 9*c_0110_4^17 + 48*c_0110_4^16 - 43*c_0110_4^15 + 47*c_0110_4^14 - 9*c_0110_4^13 - 77*c_0110_4^12 + 18*c_0110_4^11 - 60*c_0110_4^10 - 57*c_0110_4^9 - 30*c_0110_4^8 - 59*c_0110_4^7 - 22*c_0110_4^6 + 13*c_0110_4^5 + 32*c_0110_4^4 + 45*c_0110_4^3 + 30*c_0110_4^2 + 9*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB