Magma V2.19-8 Tue Aug 20 2013 16:14:50 on localhost [Seed = 1343343677] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s808 geometric_solution 5.36401002 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0.406137762451 0.303181172859 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 1 -1 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 1 -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 1.012739602756 0.877124278072 1 4 5 3 0132 0132 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 0 -1 1 0 0 -1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245066135288 0.888313581277 2 5 4 1 3201 0132 1023 0132 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 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245066135288 0.888313581277 4 2 3 4 3201 0132 1023 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788106110732 0.820591131201 5 3 5 2 2310 0132 3201 0132 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 -1 0 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.288598837177 1.046110537889 ==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' : negation(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_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], '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' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1086481229562167818404/8297516875584013*c_0101_4^19 + 61299216478561760609/754319715962183*c_0101_4^18 + 2268417745983179898095/1185359553654859*c_0101_4^17 + 22739622177955444841437/8297516875584013*c_0101_4^16 + 5441304826207241356072/8297516875584013*c_0101_4^15 + 50942218510534817902572/8297516875584013*c_0101_4^14 + 661741142123443376239/107759959423169*c_0101_4^13 - 281523516733443972704230/8297516875584013*c_0101_4^12 - 507603585099703853807742/8297516875584013*c_0101_4^11 + 59748510745786419698401/8297516875584013*c_0101_4^10 + 100416349375181370164954/1185359553654859*c_0101_4^9 + 193945093703748370675968/8297516875584013*c_0101_4^8 - 53219536019199084115437/1185359553654859*c_0101_4^7 + 14690623048648499438072/754319715962183*c_0101_4^6 + 44192634885720061888451/1185359553654859*c_0101_4^5 - 88787518011458285901243/8297516875584013*c_0101_4^4 - 8922609820581702162979/754319715962183*c_0101_4^3 + 2492428294925356421383/1185359553654859*c_0101_4^2 + 9828513309170058060361/8297516875584013*c_0101_4 - 1752136174083496389283/8297516875584013, c_0011_0 - 1, c_0011_1 + 61773854828/1334862859*c_0101_4^19 - 39215153724/1334862859*c_0101_4^18 - 902344730038/1334862859*c_0101_4^17 - 1280148831301/1334862859*c_0101_4^16 - 290048018270/1334862859*c_0101_4^15 - 2889078362948/1334862859*c_0101_4^14 - 259366312380/121351169*c_0101_4^13 + 16051356259385/1334862859*c_0101_4^12 + 28641116719768/1334862859*c_0101_4^11 - 3817533907875/1334862859*c_0101_4^10 - 39975988632080/1334862859*c_0101_4^9 - 10515003299414/1334862859*c_0101_4^8 + 21377049884263/1334862859*c_0101_4^7 - 9401341247171/1334862859*c_0101_4^6 - 17445958348088/1334862859*c_0101_4^5 + 5272782549005/1334862859*c_0101_4^4 + 5544910411378/1334862859*c_0101_4^3 - 1039031649312/1334862859*c_0101_4^2 - 557374607629/1334862859*c_0101_4 + 101338499606/1334862859, c_0011_3 - 7566053965723195/107759959423169*c_0101_4^19 + 50320441661305413/1185359553654859*c_0101_4^18 + 1217391127784717609/1185359553654859*c_0101_4^17 + 1760874779598549992/1185359553654859*c_0101_4^16 + 442023380470850647/1185359553654859*c_0101_4^15 + 3909599500618087170/1185359553654859*c_0101_4^14 + 360898413486877528/107759959423169*c_0101_4^13 - 1955675501933051384/107759959423169*c_0101_4^12 - 39220614688380249744/1185359553654859*c_0101_4^11 + 4017821830188438531/1185359553654859*c_0101_4^10 + 53920597407922498732/1185359553654859*c_0101_4^9 + 15583177287195291032/1185359553654859*c_0101_4^8 - 28372173815277337603/1185359553654859*c_0101_4^7 + 12068480560405303696/1185359553654859*c_0101_4^6 + 23952554400046905104/1185359553654859*c_0101_4^5 - 6541837229684217271/1185359553654859*c_0101_4^4 - 7587848968447495078/1185359553654859*c_0101_4^3 + 1278585321086516427/1185359553654859*c_0101_4^2 + 754608522860148125/1185359553654859*c_0101_4 - 131414673401928275/1185359553654859, c_0101_0 - 110892128051527029/1185359553654859*c_0101_4^19 + 69375206036640169/1185359553654859*c_0101_4^18 + 1620500263825307973/1185359553654859*c_0101_4^17 + 2312928550426229533/1185359553654859*c_0101_4^16 + 541378701220347084/1185359553654859*c_0101_4^15 + 5190825793491759472/1185359553654859*c_0101_4^14 + 470032517987349424/107759959423169*c_0101_4^13 - 28768578096740830086/1185359553654859*c_0101_4^12 - 51682549122946050786/1185359553654859*c_0101_4^11 + 6388921824013152795/1185359553654859*c_0101_4^10 + 71829311750440305982/1185359553654859*c_0101_4^9 + 19504549857899808615/1185359553654859*c_0101_4^8 - 38225364231037066965/1185359553654859*c_0101_4^7 + 16565966972356713651/1185359553654859*c_0101_4^6 + 31521537812931515610/1185359553654859*c_0101_4^5 - 9208849459075380860/1185359553654859*c_0101_4^4 - 10050537303222566454/1185359553654859*c_0101_4^3 + 1810621645716487402/1185359553654859*c_0101_4^2 + 1013636766371492976/1185359553654859*c_0101_4 - 180396897547942057/1185359553654859, c_0101_1 - 165140320243/1334862859*c_0101_4^19 + 103366465415/1334862859*c_0101_4^18 + 2412953491954/1334862859*c_0101_4^17 + 3443600845374/1334862859*c_0101_4^16 + 809073750301/1334862859*c_0101_4^15 + 703453661829/121351169*c_0101_4^14 + 700159311027/121351169*c_0101_4^13 - 42830996641007/1334862859*c_0101_4^12 - 76928480730982/1334862859*c_0101_4^11 + 9479388754109/1334862859*c_0101_4^10 + 106798703239249/1334862859*c_0101_4^9 + 28958671133771/1334862859*c_0101_4^8 - 56756222130733/1334862859*c_0101_4^7 + 24810191750918/1334862859*c_0101_4^6 + 46849050227864/1334862859*c_0101_4^5 - 13714761456691/1334862859*c_0101_4^4 - 14842806246577/1334862859*c_0101_4^3 + 2692283025479/1334862859*c_0101_4^2 + 1483079845591/1334862859*c_0101_4 - 24103996090/121351169, c_0101_4^20 - 15*c_0101_4^18 - 30*c_0101_4^17 - 18*c_0101_4^16 - 50*c_0101_4^15 - 76*c_0101_4^14 + 230*c_0101_4^13 + 628*c_0101_4^12 + 235*c_0101_4^11 - 681*c_0101_4^10 - 580*c_0101_4^9 + 232*c_0101_4^8 + 64*c_0101_4^7 - 377*c_0101_4^6 - 95*c_0101_4^5 + 141*c_0101_4^4 + 40*c_0101_4^3 - 19*c_0101_4^2 - 4*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB