Magma V2.19-8 Tue Aug 20 2013 16:16:41 on localhost [Seed = 1225315715] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0976 geometric_solution 4.87262049 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 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 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 2.522888749325 1.033214963384 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.594240181188 0.116967097258 0 3 4 0 3201 0132 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 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 0.271867913249 0.794902075666 5 2 6 5 0132 0132 0132 1023 0 0 0 0 0 0 -1 1 -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 -1 0 1 -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 0.171232460866 0.440589318403 6 5 5 2 1023 3201 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 0.171232460866 0.440589318403 3 4 4 3 0132 3201 2310 1023 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 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 1.233651800795 1.971850600279 6 4 6 3 2310 1023 3201 0132 0 0 0 0 0 0 -1 1 1 0 0 -1 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 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.186960048574 1.374478326621 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], '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_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 52615826942388685289/885177412918757653421312*c_0101_5^18 - 17365017150848981734733/7966596716268818880791808*c_0101_5^16 + 94543973834520171393085/1327766119378136480131968*c_0101_5^14 - 19191514006927409454439/45785038599246085521792*c_0101_5^12 + 44359143601334370855035815/15933193432537637761583616*c_0101_5^10 - 185336279959771131347955457/15933193432537637761583616*c_0101_5^8 + 4933653880755080928825083/331941529844534120032992*c_0101_5^6 - 37967371413325886101692833/995824589533602360098976*c_0101_5^4 + 102953606612492892402173/8584694737358641035336*c_0101_5^2 - 869749765912232935612183/62239036845850147506186, c_0011_0 - 1, c_0011_2 + 54414359760760623513/110647176614844706677664*c_0101_5^18 - 4357936869997787890065/442588706459378826710656*c_0101_5^16 + 4826107962224217998511/110647176614844706677664*c_0101_5^14 - 2670952390918529829239/7630839766541014253632*c_0101_5^12 + 197053367837451964744691/221294353229689413355328*c_0101_5^10 - 1213854674153969265911569/885177412918757653421312*c_0101_5^8 + 33247789684830748599243/13830897076855588334708*c_0101_5^6 - 13687034732188338946049/13830897076855588334708*c_0101_5^4 + 176396882278814177635/238463742704406695426*c_0101_5^2 - 2870308127249564697162/3457724269213897083677, c_0011_4 + 93009568249236686283/442588706459378826710656*c_0101_5^18 - 1805182801667432206993/442588706459378826710656*c_0101_5^16 + 3518626391535480465349/221294353229689413355328*c_0101_5^14 - 1026942239883182143849/7630839766541014253632*c_0101_5^12 + 236484870614343259458739/885177412918757653421312*c_0101_5^10 - 190691014354902059653749/885177412918757653421312*c_0101_5^8 + 28927580384656812364653/221294353229689413355328*c_0101_5^6 + 27508805269038155154683/27661794153711176669416*c_0101_5^4 - 384558977570186867929/476927485408813390852*c_0101_5^2 + 792506817254687684592/3457724269213897083677, c_0101_0 - 3493992836945682734571/1770354825837515306842624*c_0101_5^19 + 16245956443168081506799/442588706459378826710656*c_0101_5^17 - 111873379238559898524441/885177412918757653421312*c_0101_5^15 + 19691081105911455835659/15261679533082028507264*c_0101_5^13 - 6871697359820146067384411/3540709651675030613685248*c_0101_5^11 + 1097399619505865241708627/221294353229689413355328*c_0101_5^9 - 1135454330384301775025141/221294353229689413355328*c_0101_5^7 + 156299433690713415205043/55323588307422353338832*c_0101_5^5 - 2983633816266725845015/953854970817626781704*c_0101_5^3 + 3174580519608758080981/3457724269213897083677*c_0101_5, c_0101_1 - 1667161218953879441325/3540709651675030613685248*c_0101_5^19 + 502852196577737211333/55323588307422353338832*c_0101_5^17 - 64326637659580197205271/1770354825837515306842624*c_0101_5^15 + 10056327603254851517311/30523359066164057014528*c_0101_5^13 - 4841631733868264750167197/7081419303350061227370496*c_0101_5^11 + 2673277214144762010199371/1770354825837515306842624*c_0101_5^9 - 959247022810071805255561/442588706459378826710656*c_0101_5^7 + 127450723968529049768081/110647176614844706677664*c_0101_5^5 - 786384788925832977075/476927485408813390852*c_0101_5^3 + 4109093574525553985693/6915448538427794167354*c_0101_5, c_0101_3 + 3876403479426480268071/1770354825837515306842624*c_0101_5^19 - 35377151424309219040747/885177412918757653421312*c_0101_5^17 + 112252427606679712366077/885177412918757653421312*c_0101_5^15 - 10640091903604069568169/7630839766541014253632*c_0101_5^13 + 5933010775926410188866951/3540709651675030613685248*c_0101_5^11 - 9070084061508902878264029/1770354825837515306842624*c_0101_5^9 + 1569887073463757162812345/442588706459378826710656*c_0101_5^7 - 198134631294057595547157/110647176614844706677664*c_0101_5^5 + 110440782897649142115/119231871352203347713*c_0101_5^3 + 1310273845182346794309/6915448538427794167354*c_0101_5, c_0101_5^20 - 164/9*c_0101_5^18 + 518/9*c_0101_5^16 - 1916/3*c_0101_5^14 + 13657/18*c_0101_5^12 - 22000/9*c_0101_5^10 + 15800/9*c_0101_5^8 - 11296/9*c_0101_5^6 + 1024*c_0101_5^4 + 512/9*c_0101_5^2 + 2048/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB