Magma V2.19-8 Wed Aug 21 2013 00:50:57 on localhost [Seed = 829891647] Type ? for help. Type -D to quit. Loading file "L10a72__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a72 geometric_solution 11.78058065 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 0 0 0 0 1 -1 4 0 -4 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 0.678862219533 0.352627799340 0 2 6 5 0132 0213 0132 0132 1 1 1 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 0 0 0 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869343566695 1.027241673789 3 0 1 3 2031 0132 0213 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0.481361945660 0.625907669996 4 2 2 0 3120 2310 1302 0132 1 1 1 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 0 0 0 0 0 1 -1 -5 0 1 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481361945660 0.625907669996 6 7 0 3 0132 0132 0132 3120 1 1 1 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 0 0 0 0 -1 1 0 -5 0 0 5 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869343566695 1.027241673789 8 7 1 9 0132 0213 0132 0132 1 1 1 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 0 0 0 0 0 0 0 1 0 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.271721160006 0.739177580236 4 9 10 1 0132 2031 0132 0132 1 1 1 1 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 0 0 0 5 0 -5 0 0 0 0 0 -1 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.251227187028 0.437027694114 11 4 5 9 0132 0132 0213 2031 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 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0.614614578843 1.062784862166 5 11 11 10 0132 0321 0213 3120 0 1 1 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 0 0 0 0 0 0 0 1 -2 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 0.002632837295 1.198115804543 6 7 5 12 1302 1302 0132 0132 1 1 1 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 0 0 0 0 1 -1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589211857752 0.490879360059 8 12 12 6 3120 3012 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -1 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 -5 5 0 5 0 -5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.002632837295 1.198115804543 7 8 12 8 0132 0213 2310 0321 0 1 1 1 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 2 -1 -1 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 0.410401543435 0.493006581513 10 11 9 10 1230 3201 0132 0132 1 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 0 0 0 0 -1 1 0 -5 0 0 5 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.002632837295 1.198115804543 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_12']), 'c_1001_1' : d['c_0011_9'], 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : d['c_0110_2'], 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_12']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), '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_0110_11' : d['c_0011_5'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_11'], 'c_1100_8' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0110_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 3918505992341737442241531733186465/10622451514231511683747866117043\ 2*c_1100_1^15 - 6118566906559980141695811351881/2107629268696728508\ 68013216608*c_1100_1^14 + 4340250905002616379875168669674717/531122\ 57571157558418739330585216*c_1100_1^13 - 2896651994204387542237632029201773/17704085857052519472913110195072\ *c_1100_1^12 - 57683348777297983853158196873483077/3540817171410503\ 8945826220390144*c_1100_1^11 - 18783563566655865637589259860453467/\ 35408171714105038945826220390144*c_1100_1^10 + 803932489127177749209034720224027041/106224515142315116837478661170\ 432*c_1100_1^9 + 1500540829649388710841776015650202881/106224515142\ 315116837478661170432*c_1100_1^8 - 1768816312064904452406990325865528497/10622451514231511683747866117\ 0432*c_1100_1^7 - 1122534222864688822918834430549564281/53112257571\ 157558418739330585216*c_1100_1^6 - 58604177720351088609957485926763005/1062245151423151168374786611704\ 32*c_1100_1^5 + 13321317920526617777817944024063555/165975804909867\ 3700585604080788*c_1100_1^4 - 709849826065575908684980354354706855/\ 106224515142315116837478661170432*c_1100_1^3 + 52341273460657179088026036003249047/1517493073461644526249695159577\ 6*c_1100_1^2 - 69485915620004495957374812958056239/1062245151423151\ 16837478661170432*c_1100_1 - 3601781024025343813737562825744537/106\ 224515142315116837478661170432, c_0011_0 - 1, c_0011_10 + 2761639282260725229172/10582559228051930886947*c_1100_1^15 + 2851881736232634950648/10582559228051930886947*c_1100_1^14 - 5019409729181257443587/10582559228051930886947*c_1100_1^13 + 11438182903572031441136/10582559228051930886947*c_1100_1^12 + 124002646573086187601853/10582559228051930886947*c_1100_1^11 + 71701694510698493338000/10582559228051930886947*c_1100_1^10 - 530979538086702443849485/10582559228051930886947*c_1100_1^9 - 1177236169896076772484751/10582559228051930886947*c_1100_1^8 + 878408245674410799534808/10582559228051930886947*c_1100_1^7 + 1622846350788992891534488/10582559228051930886947*c_1100_1^6 + 572679635956839841685649/10582559228051930886947*c_1100_1^5 - 187510345457930401477860/10582559228051930886947*c_1100_1^4 + 540232087898554433489110/10582559228051930886947*c_1100_1^3 - 211768087954840443876724/10582559228051930886947*c_1100_1^2 + 35221423608590108101622/10582559228051930886947*c_1100_1 - 7437554089649709183405/10582559228051930886947, c_0011_11 - c_1100_1, c_0011_12 - 1, c_0011_3 + 957465896015794060467/10582559228051930886947*c_1100_1^15 + 1202593475069678054869/10582559228051930886947*c_1100_1^14 - 1536444886354234221458/10582559228051930886947*c_1100_1^13 + 3485284491632132920731/10582559228051930886947*c_1100_1^12 + 43844423965249906586629/10582559228051930886947*c_1100_1^11 + 34561741960949465024057/10582559228051930886947*c_1100_1^10 - 179627610133534628599824/10582559228051930886947*c_1100_1^9 - 453071058828523834470289/10582559228051930886947*c_1100_1^8 + 215333192006387587882860/10582559228051930886947*c_1100_1^7 + 653367054166924086668447/10582559228051930886947*c_1100_1^6 + 347638884163448664772952/10582559228051930886947*c_1100_1^5 - 66201369333443168267143/10582559228051930886947*c_1100_1^4 + 118895702760014318712384/10582559228051930886947*c_1100_1^3 - 23968892081732386470867/10582559228051930886947*c_1100_1^2 + 28652654207301778149993/10582559228051930886947*c_1100_1 - 5584090851941893217753/10582559228051930886947, c_0011_5 - 363186930623437571512/10582559228051930886947*c_1100_1^15 - 462760891218177234169/10582559228051930886947*c_1100_1^14 + 564169616658285734746/10582559228051930886947*c_1100_1^13 - 1320657866420394341089/10582559228051930886947*c_1100_1^12 - 16652882861747638910606/10582559228051930886947*c_1100_1^11 - 13484336445321839463722/10582559228051930886947*c_1100_1^10 + 67432281454643196215099/10582559228051930886947*c_1100_1^9 + 172781106041089140998455/10582559228051930886947*c_1100_1^8 - 77407410466039458305729/10582559228051930886947*c_1100_1^7 - 246318513931121198682396/10582559228051930886947*c_1100_1^6 - 138662301652379186197970/10582559228051930886947*c_1100_1^5 + 24273298074756489347104/10582559228051930886947*c_1100_1^4 - 46441377509149220188456/10582559228051930886947*c_1100_1^3 + 8231478957987301623377/10582559228051930886947*c_1100_1^2 - 9960038512477506945035/10582559228051930886947*c_1100_1 + 1772530610228927098738/10582559228051930886947, c_0011_9 + 29448162744976/10512409916677939*c_1100_1^15 + 866901518596127/10512409916677939*c_1100_1^14 + 1033660182791424/10512409916677939*c_1100_1^13 - 1286934637919036/10512409916677939*c_1100_1^12 + 4155263207117207/10512409916677939*c_1100_1^11 + 39352083087319599/10512409916677939*c_1100_1^10 + 25801958056339028/10512409916677939*c_1100_1^9 - 173344093046082563/10512409916677939*c_1100_1^8 - 397994967174353783/10512409916677939*c_1100_1^7 + 208137280259528618/10512409916677939*c_1100_1^6 + 640267188522716693/10512409916677939*c_1100_1^5 + 309199832845985914/10512409916677939*c_1100_1^4 - 112283897076803540/10512409916677939*c_1100_1^3 + 46764464166743345/10512409916677939*c_1100_1^2 - 20014794155672427/10512409916677939*c_1100_1 - 5574764938776338/10512409916677939, c_0101_0 - 29448162744976/10512409916677939*c_1100_1^15 - 866901518596127/10512409916677939*c_1100_1^14 - 1033660182791424/10512409916677939*c_1100_1^13 + 1286934637919036/10512409916677939*c_1100_1^12 - 4155263207117207/10512409916677939*c_1100_1^11 - 39352083087319599/10512409916677939*c_1100_1^10 - 25801958056339028/10512409916677939*c_1100_1^9 + 173344093046082563/10512409916677939*c_1100_1^8 + 397994967174353783/10512409916677939*c_1100_1^7 - 208137280259528618/10512409916677939*c_1100_1^6 - 640267188522716693/10512409916677939*c_1100_1^5 - 309199832845985914/10512409916677939*c_1100_1^4 + 112283897076803540/10512409916677939*c_1100_1^3 - 46764464166743345/10512409916677939*c_1100_1^2 + 20014794155672427/10512409916677939*c_1100_1 + 5574764938776338/10512409916677939, c_0101_1 - 957465896015794060467/10582559228051930886947*c_1100_1^15 - 1202593475069678054869/10582559228051930886947*c_1100_1^14 + 1536444886354234221458/10582559228051930886947*c_1100_1^13 - 3485284491632132920731/10582559228051930886947*c_1100_1^12 - 43844423965249906586629/10582559228051930886947*c_1100_1^11 - 34561741960949465024057/10582559228051930886947*c_1100_1^10 + 179627610133534628599824/10582559228051930886947*c_1100_1^9 + 453071058828523834470289/10582559228051930886947*c_1100_1^8 - 215333192006387587882860/10582559228051930886947*c_1100_1^7 - 653367054166924086668447/10582559228051930886947*c_1100_1^6 - 347638884163448664772952/10582559228051930886947*c_1100_1^5 + 66201369333443168267143/10582559228051930886947*c_1100_1^4 - 118895702760014318712384/10582559228051930886947*c_1100_1^3 + 23968892081732386470867/10582559228051930886947*c_1100_1^2 - 28652654207301778149993/10582559228051930886947*c_1100_1 + 5584090851941893217753/10582559228051930886947, c_0101_11 + 90242453971909721476/10582559228051930886947*c_1100_1^15 + 503868835340193014757/10582559228051930886947*c_1100_1^14 + 391625774529130524448/10582559228051930886947*c_1100_1^13 - 271121128646447710887/10582559228051930886947*c_1100_1^12 + 5422351736441087837872/10582559228051930886947*c_1100_1^11 + 21348318365442601984915/10582559228051930886947*c_1100_1^10 - 777835653007824857479/10582559228051930886947*c_1100_1^9 - 115781895939450282967112/10582559228051930886947*c_1100_1^8 - 174980821962739232656484/10582559228051930886947*c_1100_1^7 + 133578990077384530247301/10582559228051930886947*c_1100_1^6 + 328916200324825216377304/10582559228051930886947*c_1100_1^5 + 167410784793356527550890/10582559228051930886947*c_1100_1^4 - 29499895325632578751372/10582559228051930886947*c_1100_1^3 + 18651587915025756726590/10582559228051930886947*c_1100_1^2 - 7437554089649709183405/10582559228051930886947*c_1100_1 - 2761639282260725229172/10582559228051930886947, c_0101_12 + 363186930623437571512/10582559228051930886947*c_1100_1^15 + 462760891218177234169/10582559228051930886947*c_1100_1^14 - 564169616658285734746/10582559228051930886947*c_1100_1^13 + 1320657866420394341089/10582559228051930886947*c_1100_1^12 + 16652882861747638910606/10582559228051930886947*c_1100_1^11 + 13484336445321839463722/10582559228051930886947*c_1100_1^10 - 67432281454643196215099/10582559228051930886947*c_1100_1^9 - 172781106041089140998455/10582559228051930886947*c_1100_1^8 + 77407410466039458305729/10582559228051930886947*c_1100_1^7 + 246318513931121198682396/10582559228051930886947*c_1100_1^6 + 138662301652379186197970/10582559228051930886947*c_1100_1^5 - 24273298074756489347104/10582559228051930886947*c_1100_1^4 + 46441377509149220188456/10582559228051930886947*c_1100_1^3 - 8231478957987301623377/10582559228051930886947*c_1100_1^2 + 31125156968581368718929/10582559228051930886947*c_1100_1 - 1772530610228927098738/10582559228051930886947, c_0110_2 - 2854094345697172058548/10582559228051930886947*c_1100_1^15 - 3203245732035644553101/10582559228051930886947*c_1100_1^14 + 5346843013220197195872/10582559228051930886947*c_1100_1^13 - 10788681205523783068617/10582559228051930886947*c_1100_1^12 - 129840413537045307348688/10582559228051930886947*c_1100_1^11 - 84107244943663989508326/10582559228051930886947*c_1100_1^10 + 561607032693430969642841/10582559228051930886947*c_1100_1^9 + 1282848932820091164614826/10582559228051930886947*c_1100_1^8 - 876538542222845521490706/10582559228051930886947*c_1100_1^7 - 1965884444728564986387449/10582559228051930886947*c_1100_1^6 - 665447734504715836136484/10582559228051930886947*c_1100_1^5 + 437583813355812017413680/10582559228051930886947*c_1100_1^4 - 353736858612549428434602/10582559228051930886947*c_1100_1^3 + 155139758620458278860195/10582559228051930886947*c_1100_1^2 + 21520705880769066283393/10582559228051930886947*c_1100_1 - 3111588090662302648817/10582559228051930886947, c_1100_1^16 + c_1100_1^15 - 2*c_1100_1^14 + 4*c_1100_1^13 + 45*c_1100_1^12 + 24*c_1100_1^11 - 200*c_1100_1^10 - 426*c_1100_1^9 + 360*c_1100_1^8 + 651*c_1100_1^7 + 159*c_1100_1^6 - 187*c_1100_1^5 + 135*c_1100_1^4 - 66*c_1100_1^3 + 6*c_1100_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.310 seconds, Total memory usage: 32.09MB