Magma V2.19-8 Wed Aug 21 2013 00:59:06 on localhost [Seed = 2034197016] Type ? for help. Type -D to quit. Loading file "L13n6564__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6564 geometric_solution 11.66270750 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 3012 1 1 1 0 0 0 0 0 1 0 -1 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 1 -1 1 0 -1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442409034692 0.518953195597 0 4 0 5 0132 0132 1230 0132 1 1 0 1 0 0 0 0 -1 0 1 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 -1 0 1 0 -1 3 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960999044403 0.894407470866 3 0 5 6 0321 0132 1230 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 0 0 0 -3 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960999044403 0.894407470866 2 7 8 0 0321 0132 0132 0132 1 1 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 0 1 -1 0 0 -1 1 0 -1 0 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769901047853 1.167289804239 5 1 7 9 0213 0132 1302 0132 1 0 1 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 -1 0 1 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606251784590 0.596983571548 4 10 1 2 0213 0132 0132 3012 1 1 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 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442409034692 0.518953195597 10 11 2 9 0213 0132 0132 3120 1 0 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.113348100684 0.681549590804 4 3 11 10 2031 0132 0132 1023 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 0 0 0 0 0 -3 3 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696535797178 1.233653733094 12 9 9 3 0132 2310 3012 0132 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 0 0 0 0 0 0 0 1 0 -1 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 0.291607812214 1.007331972432 6 8 4 8 3120 1230 0132 3201 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 1 0 -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 0.467111647774 0.664231629894 6 5 12 7 0213 0132 1023 1023 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 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571244943676 0.836983756362 12 6 12 7 1230 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.725569981692 0.423567694791 8 11 10 11 0132 3012 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.058390385831 0.827034890182 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0110_7'], 'c_1001_4' : d['c_0110_7'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_10'], 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_0110_7'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : negation(d['c_0011_11']), '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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_1']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : negation(d['c_1100_10']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_12'], 'c_1100_11' : negation(d['c_1100_10']), 'c_1100_10' : d['c_1100_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_7'], 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0011_9'], 'c_1010_8' : d['c_0110_10'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['c_1100_10']), '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_12']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_9'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0101_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_10']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0101_9']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0110_10']), 's_2_9' : d['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_11, c_0011_12, c_0011_9, c_0101_1, c_0101_12, c_0101_9, c_0110_10, c_0110_7, c_1001_0, c_1001_1, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 164775724122130416074039252309/75937168037569891386517366888*c_1100\ _10^11 - 1014606413617067146987045139567/30374867215027956554606946\ 7552*c_1100_10^10 + 8334064016004097243292795481497/121499468860111\ 8262184277870208*c_1100_10^9 + 4265359930006010133711446346821/7593\ 7168037569891386517366888*c_1100_10^8 + 20716509288573378881105475300801/151874336075139782773034733776*c_1\ 100_10^7 + 24844153762243006332233047735919/15187433607513978277303\ 4733776*c_1100_10^6 - 3285795003004535860308697499491/1214994688601\ 118262184277870208*c_1100_10^5 - 141286745517201095996886673505577/\ 607497344300559131092138935104*c_1100_10^4 - 19796018096120409974255601871117/151874336075139782773034733776*c_1\ 100_10^3 - 65719134490414004172001097742363/12149946886011182621842\ 77870208*c_1100_10^2 - 100842569795137231919192287780205/1214994688\ 601118262184277870208*c_1100_10 + 162228674577665286209808573460225\ /1214994688601118262184277870208, c_0011_0 - 1, c_0011_10 + 79965538970635814308768/42565677151104199207689107*c_1100_1\ 0^11 + 710757191755757950950008/42565677151104199207689107*c_1100_1\ 0^10 + 95414166121050214976446/42565677151104199207689107*c_1100_10\ ^9 - 4759932374070079222502664/42565677151104199207689107*c_1100_10\ ^8 - 18496995930154553971279685/42565677151104199207689107*c_1100_1\ 0^7 - 28324224506559086306248394/42565677151104199207689107*c_1100_\ 10^6 - 9396252119617586281198152/42565677151104199207689107*c_1100_\ 10^5 + 47638077166553594513122018/42565677151104199207689107*c_1100\ _10^4 + 59993770944950975281276008/42565677151104199207689107*c_110\ 0_10^3 - 26030071672561818393215882/42565677151104199207689107*c_11\ 00_10^2 + 8450442314883700842077207/42565677151104199207689107*c_11\ 00_10 + 11917148705063063365285880/42565677151104199207689107, c_0011_11 - 250966385722380458175264/42565677151104199207689107*c_1100_\ 10^11 - 32185987601604930370600/42565677151104199207689107*c_1100_1\ 0^10 + 975406051498676515107950/42565677151104199207689107*c_1100_1\ 0^9 + 5296229124714463603183621/42565677151104199207689107*c_1100_1\ 0^8 + 8040497862044478070882223/42565677151104199207689107*c_1100_1\ 0^7 + 3971993591986370264497045/42565677151104199207689107*c_1100_1\ 0^6 - 15564129649037316737657355/42565677151104199207689107*c_1100_\ 10^5 - 18052630599051004030311405/42565677151104199207689107*c_1100\ _10^4 + 19476879324606918307639457/42565677151104199207689107*c_110\ 0_10^3 - 50333819424660521907075/42565677151104199207689107*c_1100_\ 10^2 + 18670765669573513836008702/42565677151104199207689107*c_1100\ _10 + 7422768107832569306411/42565677151104199207689107, c_0011_12 - 77184172444912790824240/42565677151104199207689107*c_1100_1\ 0^11 + 230446416936719697332604/42565677151104199207689107*c_1100_1\ 0^10 + 146501347904301870197783/42565677151104199207689107*c_1100_1\ 0^9 + 509069300938096288019426/42565677151104199207689107*c_1100_10\ ^8 - 1470310042864973750724739/42565677151104199207689107*c_1100_10\ ^7 - 1693353924644951439755651/42565677151104199207689107*c_1100_10\ ^6 - 1364695629002555783494279/42565677151104199207689107*c_1100_10\ ^5 + 8307791982087368068210690/42565677151104199207689107*c_1100_10\ ^4 + 140585464208859108310437/42565677151104199207689107*c_1100_10^\ 3 - 46096983261720874956720489/42565677151104199207689107*c_1100_10\ ^2 + 1508054796325366027691457/42565677151104199207689107*c_1100_10 - 4880664672488553305834571/42565677151104199207689107, c_0011_9 - 58942554162525299098128/42565677151104199207689107*c_1100_10\ ^11 - 54874803042415423505244/42565677151104199207689107*c_1100_10^\ 10 + 340327841925571992069785/42565677151104199207689107*c_1100_10^\ 9 + 1561194762270884891908145/42565677151104199207689107*c_1100_10^\ 8 + 2607941583217357921821007/42565677151104199207689107*c_1100_10^\ 7 - 827859474550542355455958/42565677151104199207689107*c_1100_10^6 - 7627200219302565345888269/42565677151104199207689107*c_1100_10^5 - 16289677593269291032729857/42565677151104199207689107*c_1100_10^4 - 3856120171696682081112554/42565677151104199207689107*c_1100_10^3 - 2491832185213296582638102/42565677151104199207689107*c_1100_10^2 - 3617037265410802438841136/42565677151104199207689107*c_1100_10 - 6975875448965004724507666/42565677151104199207689107, c_0101_1 - 1, c_0101_12 + 475546039189463103046176/42565677151104199207689107*c_1100_\ 10^11 - 120609259319681619251432/42565677151104199207689107*c_1100_\ 10^10 - 2462088548553367604341578/42565677151104199207689107*c_1100\ _10^9 - 9568955313651975919494336/42565677151104199207689107*c_1100\ _10^8 - 8477074776892723459005520/42565677151104199207689107*c_1100\ _10^7 + 10119764468831246026433739/42565677151104199207689107*c_110\ 0_10^6 + 51404162632017730736241134/42565677151104199207689107*c_11\ 00_10^5 + 29621281417315664415839531/42565677151104199207689107*c_1\ 100_10^4 - 60979657452631788218597812/42565677151104199207689107*c_\ 1100_10^3 - 34031597264909382373732711/42565677151104199207689107*c\ _1100_10^2 + 21032009950133105349304675/42565677151104199207689107*\ c_1100_10 - 25659018617345188606363167/42565677151104199207689107, c_0101_9 - 475546039189463103046176/42565677151104199207689107*c_1100_1\ 0^11 + 120609259319681619251432/42565677151104199207689107*c_1100_1\ 0^10 + 2462088548553367604341578/42565677151104199207689107*c_1100_\ 10^9 + 9568955313651975919494336/42565677151104199207689107*c_1100_\ 10^8 + 8477074776892723459005520/42565677151104199207689107*c_1100_\ 10^7 - 10119764468831246026433739/42565677151104199207689107*c_1100\ _10^6 - 51404162632017730736241134/42565677151104199207689107*c_110\ 0_10^5 - 29621281417315664415839531/42565677151104199207689107*c_11\ 00_10^4 + 60979657452631788218597812/42565677151104199207689107*c_1\ 100_10^3 + 34031597264909382373732711/42565677151104199207689107*c_\ 1100_10^2 - 21032009950133105349304675/42565677151104199207689107*c\ _1100_10 + 25659018617345188606363167/42565677151104199207689107, c_0110_10 - 77184172444912790824240/42565677151104199207689107*c_1100_1\ 0^11 + 230446416936719697332604/42565677151104199207689107*c_1100_1\ 0^10 + 146501347904301870197783/42565677151104199207689107*c_1100_1\ 0^9 + 509069300938096288019426/42565677151104199207689107*c_1100_10\ ^8 - 1470310042864973750724739/42565677151104199207689107*c_1100_10\ ^7 - 1693353924644951439755651/42565677151104199207689107*c_1100_10\ ^6 - 1364695629002555783494279/42565677151104199207689107*c_1100_10\ ^5 + 8307791982087368068210690/42565677151104199207689107*c_1100_10\ ^4 + 140585464208859108310437/42565677151104199207689107*c_1100_10^\ 3 - 46096983261720874956720489/42565677151104199207689107*c_1100_10\ ^2 + 1508054796325366027691457/42565677151104199207689107*c_1100_10 - 4880664672488553305834571/42565677151104199207689107, c_0110_7 + 62838505993214121787600/42565677151104199207689107*c_1100_10\ ^11 + 205112238672210592397404/42565677151104199207689107*c_1100_10\ ^10 - 552663483941725895823105/42565677151104199207689107*c_1100_10\ ^9 - 2006859200036594656097372/42565677151104199207689107*c_1100_10\ ^8 - 4664834988206122280629659/42565677151104199207689107*c_1100_10\ ^7 - 1269017900643261360244815/42565677151104199207689107*c_1100_10\ ^6 + 6663984409765140539384295/42565677151104199207689107*c_1100_10\ ^5 + 17029770594590959923123061/42565677151104199207689107*c_1100_1\ 0^4 - 1639265497450304847305861/42565677151104199207689107*c_1100_1\ 0^3 + 5336489815944972368519691/42565677151104199207689107*c_1100_1\ 0^2 + 38449071151471721149749882/42565677151104199207689107*c_1100_\ 10 - 39374247691546677264906639/42565677151104199207689107, c_1001_0 + 62838505993214121787600/42565677151104199207689107*c_1100_10\ ^11 + 205112238672210592397404/42565677151104199207689107*c_1100_10\ ^10 - 552663483941725895823105/42565677151104199207689107*c_1100_10\ ^9 - 2006859200036594656097372/42565677151104199207689107*c_1100_10\ ^8 - 4664834988206122280629659/42565677151104199207689107*c_1100_10\ ^7 - 1269017900643261360244815/42565677151104199207689107*c_1100_10\ ^6 + 6663984409765140539384295/42565677151104199207689107*c_1100_10\ ^5 + 17029770594590959923123061/42565677151104199207689107*c_1100_1\ 0^4 - 1639265497450304847305861/42565677151104199207689107*c_1100_1\ 0^3 + 5336489815944972368519691/42565677151104199207689107*c_1100_1\ 0^2 + 38449071151471721149749882/42565677151104199207689107*c_1100_\ 10 - 39374247691546677264906639/42565677151104199207689107, c_1001_1 - 62838505993214121787600/42565677151104199207689107*c_1100_10\ ^11 - 205112238672210592397404/42565677151104199207689107*c_1100_10\ ^10 + 552663483941725895823105/42565677151104199207689107*c_1100_10\ ^9 + 2006859200036594656097372/42565677151104199207689107*c_1100_10\ ^8 + 4664834988206122280629659/42565677151104199207689107*c_1100_10\ ^7 + 1269017900643261360244815/42565677151104199207689107*c_1100_10\ ^6 - 6663984409765140539384295/42565677151104199207689107*c_1100_10\ ^5 - 17029770594590959923123061/42565677151104199207689107*c_1100_1\ 0^4 + 1639265497450304847305861/42565677151104199207689107*c_1100_1\ 0^3 - 5336489815944972368519691/42565677151104199207689107*c_1100_1\ 0^2 - 38449071151471721149749882/42565677151104199207689107*c_1100_\ 10 - 3191429459557521942782468/42565677151104199207689107, c_1100_10^12 + 3/4*c_1100_10^11 - 69/16*c_1100_10^10 - 93/4*c_1100_10^9 - 85/2*c_1100_10^8 - 55/2*c_1100_10^7 + 887/16*c_1100_10^6 + 779/8*c_1100_10^5 - 31*c_1100_10^4 - 305/16*c_1100_10^3 + 421/16*c_1100_10^2 - 1353/16*c_1100_10 + 223/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB