Magma V2.19-8 Wed Aug 21 2013 00:52:19 on localhost [Seed = 4138787664] Type ? for help. Type -D to quit. Loading file "L12a1396__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1396 geometric_solution 12.00745039 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 1 0 0 0 0 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 -1 1 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 0.698911723152 1.348594482612 0 3 6 5 0132 3120 0132 0132 1 0 1 0 0 0 0 0 -1 0 0 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 0 0 0 1 0 0 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.829399431324 0.932160473960 3 0 4 7 2031 0132 1302 0132 0 0 1 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 -1 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 0.697071616920 0.584519521586 7 1 2 0 1023 3120 1302 0132 0 0 1 1 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 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 -0.506828917688 0.837860906114 2 4 0 4 2031 2310 0132 3201 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 0 0 0 0 0 0 0 0.364191428589 0.556765370841 8 7 1 9 0132 3012 0132 0132 1 0 0 1 0 0 0 0 0 0 -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 1 0 -1 0 0 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 0.552671177628 0.597675991012 7 9 8 1 3012 0132 0132 0132 1 0 0 1 0 0 0 0 1 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 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 0.552671177628 0.597675991012 5 3 2 6 1230 1023 0132 1230 0 0 1 1 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189972500914 1.038008594379 5 10 11 6 0132 0132 0132 0132 1 0 1 0 0 0 0 0 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 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 0.967148405514 1.123724171715 11 6 5 12 0132 0132 0132 0132 1 0 1 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 0 1 -1 -1 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 0.967148405514 1.123724171715 11 8 12 12 1023 0132 0213 2310 1 1 0 1 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 1 0 0 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296499967995 0.994228524445 9 10 12 8 0132 1023 0132 0132 1 0 0 1 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 -1 1 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 0.373551043087 0.376444052321 10 10 9 11 3201 0213 0132 0132 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 0 0 0 0 1 -1 -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 0.296499967995 0.994228524445 ==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' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0110_4'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : 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_12'], '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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], '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_4']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_1001_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : d['c_0011_10'], '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_0101_8'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], '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_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], '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_0101_7'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : d['c_1100_1']})} 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_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_8, c_0110_4, c_1001_10, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t - 280812027294861469025316417/6107208406124826992727040*c_1100_1^22 - 458791669751227386255179159/3053604203062413496363520*c_1100_1^21 - 719517069745895353394560863/3053604203062413496363520*c_1100_1^20 + 5419705018077369222070815/21059339331464920664576*c_1100_1^19 + 3496845093703473916935599191/6107208406124826992727040*c_1100_1^18 - 1061405209506387374957191383/3053604203062413496363520*c_1100_1^17 - 5326319552353365270479892623/6107208406124826992727040*c_1100_1^16 - 2357411124537766970497488617/3053604203062413496363520*c_1100_1^15 + 956019327113139095003881041/1221441681224965398545408*c_1100_1^14 + 642423061979298221528310527/381700525382801687045440*c_1100_1^13 + 231643655565616917193022537/152680210153120674818176*c_1100_1^12 + 864642447607849458320878413/610720840612482699272704*c_1100_1^11 - 197217200705869670165710453/30233704980815975211520*c_1100_1^10 - 4718095675203655848590472503/763401050765603374090880*c_1100_1^9 + 6762888599209551614928625891/763401050765603374090880*c_1100_1^8 + 15443987947521113404563637761/3053604203062413496363520*c_1100_1^7 - 49111824707950972543597314239/6107208406124826992727040*c_1100_1^6 - 687208948654162008912757793/305360420306241349636352*c_1100_1^5 + 10868952974540958313763621249/3053604203062413496363520*c_1100_1^4 + 23073676301256588281900771/76340105076560337409088*c_1100_1^3 - 4185208927436363633319263867/6107208406124826992727040*c_1100_1^2 + 480687982569709599901940169/3053604203062413496363520*c_1100_1 + 782179264486948863781175747/6107208406124826992727040, c_0011_0 - 1, c_0011_10 + c_1100_1, c_0011_12 - 1087923443367841710/41131522131767423173*c_1100_1^22 - 13228151973702709128/41131522131767423173*c_1100_1^21 - 27271907083381727637/41131522131767423173*c_1100_1^20 - 18350083097349505559/41131522131767423173*c_1100_1^19 + 102097621211678489265/41131522131767423173*c_1100_1^18 + 38670177688611606466/41131522131767423173*c_1100_1^17 - 150750418884219739611/41131522131767423173*c_1100_1^16 - 91459391566436541673/41131522131767423173*c_1100_1^15 - 60513469367611608940/41131522131767423173*c_1100_1^14 + 317828226948979455278/41131522131767423173*c_1100_1^13 + 171479078814323502031/41131522131767423173*c_1100_1^12 + 193379523951786037637/41131522131767423173*c_1100_1^11 - 851681871042897120/407242793383835873*c_1100_1^10 - 1717990561059195264531/41131522131767423173*c_1100_1^9 + 378192727648729102147/41131522131767423173*c_1100_1^8 + 2136273999948959548069/41131522131767423173*c_1100_1^7 - 913710291742378336891/41131522131767423173*c_1100_1^6 - 1235587457683878745918/41131522131767423173*c_1100_1^5 + 749474087244518180835/41131522131767423173*c_1100_1^4 + 205841527929193210249/41131522131767423173*c_1100_1^3 - 99260120546397749196/41131522131767423173*c_1100_1^2 + 9629886211937953619/41131522131767423173*c_1100_1 - 22476283403358205482/41131522131767423173, c_0011_3 + 105609249140974000099/205657610658837115865*c_1100_1^22 + 69939084440793342832/41131522131767423173*c_1100_1^21 + 491590157424177548796/205657610658837115865*c_1100_1^20 - 149349308375007970876/41131522131767423173*c_1100_1^19 - 1620409955222898455082/205657610658837115865*c_1100_1^18 + 226247385009874565368/41131522131767423173*c_1100_1^17 + 2489733592356204017064/205657610658837115865*c_1100_1^16 + 278746252324188728258/41131522131767423173*c_1100_1^15 - 2328594728336588879718/205657610658837115865*c_1100_1^14 - 1017696966951677103730/41131522131767423173*c_1100_1^13 - 2534504522249459469836/205657610658837115865*c_1100_1^12 - 2142260138722729412952/205657610658837115865*c_1100_1^11 + 169490158790154898493/2036213966919179365*c_1100_1^10 + 16855943907986974694732/205657610658837115865*c_1100_1^9 - 5781213671776761010826/41131522131767423173*c_1100_1^8 - 15659707278559046121778/205657610658837115865*c_1100_1^7 + 26344450472243844253131/205657610658837115865*c_1100_1^6 + 5698816651357764594964/205657610658837115865*c_1100_1^5 - 11802706500032982701718/205657610658837115865*c_1100_1^4 - 105089361551308085762/41131522131767423173*c_1100_1^3 + 656156191614415194849/205657610658837115865*c_1100_1^2 + 358184946255557941763/205657610658837115865*c_1100_1 + 316937102165289161233/205657610658837115865, c_0011_4 - 784145082772220866666/205657610658837115865*c_1100_1^22 - 2375330900920480931527/205657610658837115865*c_1100_1^21 - 3475820896540332994891/205657610658837115865*c_1100_1^20 + 1055984199303688028997/41131522131767423173*c_1100_1^19 + 8900342910488807646583/205657610658837115865*c_1100_1^18 - 6969432356316597110674/205657610658837115865*c_1100_1^17 - 2652421854613485140847/41131522131767423173*c_1100_1^16 - 12015302161844391988256/205657610658837115865*c_1100_1^15 + 15966045779818737924076/205657610658837115865*c_1100_1^14 + 27138939244318303129498/205657610658837115865*c_1100_1^13 + 23456182403342049021387/205657610658837115865*c_1100_1^12 + 18796273816497378942339/205657610658837115865*c_1100_1^11 - 238083008459407543944/407242793383835873*c_1100_1^10 - 16616631236981186682846/41131522131767423173*c_1100_1^9 + 159949563004206503949727/205657610658837115865*c_1100_1^8 + 61469932534365668177444/205657610658837115865*c_1100_1^7 - 121662317895238654749838/205657610658837115865*c_1100_1^6 - 21214848649285628287158/205657610658837115865*c_1100_1^5 + 40978634245651073662028/205657610658837115865*c_1100_1^4 + 1325110859367586860183/41131522131767423173*c_1100_1^3 + 706227687735281995529/205657610658837115865*c_1100_1^2 + 249894244897830809746/205657610658837115865*c_1100_1 - 519925337011448389178/205657610658837115865, c_0101_0 + 188504139150568142416/205657610658837115865*c_1100_1^22 + 108222144270105916266/41131522131767423173*c_1100_1^21 + 706014162703924214044/205657610658837115865*c_1100_1^20 - 300945172751215443622/41131522131767423173*c_1100_1^19 - 2086144489972754071193/205657610658837115865*c_1100_1^18 + 459755743244610789488/41131522131767423173*c_1100_1^17 + 3205823021005012234316/205657610658837115865*c_1100_1^16 + 409919748449926376524/41131522131767423173*c_1100_1^15 - 4750266636986073299792/205657610658837115865*c_1100_1^14 - 1295298859339093206466/41131522131767423173*c_1100_1^13 - 3742375978551597819189/205657610658837115865*c_1100_1^12 - 2789238868347098674978/205657610658837115865*c_1100_1^11 + 305370413222957447442/2036213966919179365*c_1100_1^10 + 16064104115030200400963/205657610658837115865*c_1100_1^9 - 9480485279971143312739/41131522131767423173*c_1100_1^8 - 10448880903791329654932/205657610658837115865*c_1100_1^7 + 38023767435874634402829/205657610658837115865*c_1100_1^6 + 890094896531426790141/205657610658837115865*c_1100_1^5 - 14448560268633546801412/205657610658837115865*c_1100_1^4 + 10854216796937804327/41131522131767423173*c_1100_1^3 + 777381009534921898501/205657610658837115865*c_1100_1^2 + 373331019700682041972/205657610658837115865*c_1100_1 + 268264342228136253857/205657610658837115865, c_0101_1 - 1, c_0101_11 + 128427888122702020532/205657610658837115865*c_1100_1^22 + 71537135730496113302/41131522131767423173*c_1100_1^21 + 426201202481232378988/205657610658837115865*c_1100_1^20 - 226385006405440586094/41131522131767423173*c_1100_1^19 - 1420705441254473658461/205657610658837115865*c_1100_1^18 + 373724572548683315448/41131522131767423173*c_1100_1^17 + 2291505962741465568762/205657610658837115865*c_1100_1^16 + 189633876519646900533/41131522131767423173*c_1100_1^15 - 3682300342181319377684/205657610658837115865*c_1100_1^14 - 891728519634225113802/41131522131767423173*c_1100_1^13 - 1616613926093044070833/205657610658837115865*c_1100_1^12 - 915072768846720335836/205657610658837115865*c_1100_1^11 + 214926788459616605844/2036213966919179365*c_1100_1^10 + 9659115440404725432731/205657610658837115865*c_1100_1^9 - 7435633349302665312233/41131522131767423173*c_1100_1^8 - 6027942225400179354464/205657610658837115865*c_1100_1^7 + 31655753202770380513243/205657610658837115865*c_1100_1^6 - 876282091292919559793/205657610658837115865*c_1100_1^5 - 13134271134763082282344/205657610658837115865*c_1100_1^4 + 156905839572007690143/41131522131767423173*c_1100_1^3 + 1260581751044953170797/205657610658837115865*c_1100_1^2 + 357331787086529418049/205657610658837115865*c_1100_1 + 332871617666763774519/205657610658837115865, c_0101_7 + 188504139150568142416/205657610658837115865*c_1100_1^22 + 108222144270105916266/41131522131767423173*c_1100_1^21 + 706014162703924214044/205657610658837115865*c_1100_1^20 - 300945172751215443622/41131522131767423173*c_1100_1^19 - 2086144489972754071193/205657610658837115865*c_1100_1^18 + 459755743244610789488/41131522131767423173*c_1100_1^17 + 3205823021005012234316/205657610658837115865*c_1100_1^16 + 409919748449926376524/41131522131767423173*c_1100_1^15 - 4750266636986073299792/205657610658837115865*c_1100_1^14 - 1295298859339093206466/41131522131767423173*c_1100_1^13 - 3742375978551597819189/205657610658837115865*c_1100_1^12 - 2789238868347098674978/205657610658837115865*c_1100_1^11 + 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