Magma V2.19-8 Mon Sep 9 2013 19:14:43 on localhost [Seed = 1846700652] Type ? for help. Type -D to quit. Loading file "10^2_140__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_140 geometric_solution 15.13960835 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 16 1 2 3 4 0132 0132 0132 0132 1 1 1 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 1 0 -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 0.444524314008 0.920561583460 0 5 6 2 0132 0132 0132 1023 1 1 0 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 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 1.028288418597 2.254835163239 7 0 8 1 0132 0132 0132 1023 1 1 0 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 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 0.322442855541 0.577235603480 9 9 8 0 0132 1230 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 0 0 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444524314008 0.920561583460 7 9 0 10 3012 1302 0132 0132 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 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 0.366391080547 0.812604454507 6 1 11 12 1023 0132 0132 0132 1 1 1 0 0 0 -1 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 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 0.544608981435 0.759418889259 7 5 13 1 1023 1023 0132 0132 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.161543654735 0.495037317552 2 6 11 4 0132 1023 3012 1230 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894344993443 0.839734010721 14 3 13 2 0132 1230 1023 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 -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 0.074620739643 0.843460864880 3 14 3 4 0132 1230 3012 2031 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 1 -1 0 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574632329458 0.880890255059 15 14 4 13 0132 2103 0132 3120 1 1 0 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 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 0 0 0 0.704740344909 0.841218926658 12 7 15 5 1023 1230 2031 0132 1 1 0 1 0 0 -1 1 -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 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 0.496334273852 0.439354037772 15 11 5 13 2031 1023 0132 0321 1 1 0 1 0 1 -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 0 -1 1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.360111251368 1.254807467115 10 12 8 6 3120 0321 1023 0132 1 1 0 1 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 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 0.315326783229 1.347686034704 8 10 9 15 0132 2103 3012 3201 0 1 1 1 0 0 0 0 -1 0 0 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 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 0.871524457034 1.036438307035 10 14 12 11 0132 2310 1302 1302 1 1 1 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 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 0.732680422218 0.473787181765 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : negation(d['c_0011_13']), 'c_1001_14' : d['c_0011_10'], 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0011_14'], 'c_1001_13' : d['c_0101_8'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0011_14'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_13'], 'c_1010_13' : d['c_0101_5'], 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0011_13']), 'c_1010_15' : negation(d['c_0101_8']), 'c_1010_14' : d['c_0011_13'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_15' : negation(d['c_0011_11']), 'c_0101_14' : d['c_0011_4'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_15' : negation(d['c_0011_10']), 'c_0011_14' : d['c_0011_14'], 'c_1100_9' : negation(d['c_0011_14']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : negation(d['c_0101_13']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_13']), 'c_1100_3' : negation(d['c_0101_13']), 'c_1100_2' : negation(d['c_1100_1']), 'c_1100_15' : d['c_0101_11'], 'c_1100_14' : d['c_0011_10'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : negation(d['c_0101_13']), 'c_1100_13' : d['c_1100_1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0101_11'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0101_3'], 's_3_15' : d['1'], 'c_1010_9' : d['c_0011_4'], 's_0_15' : d['1'], 'c_1100_8' : negation(d['c_1100_1']), '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_0101_8'], '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_3_11' : 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_14']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0101_13' : d['c_0101_13'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_13' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0011_13']), 'c_0110_15' : d['c_0101_10'], 'c_0110_14' : d['c_0101_8'], 'c_1010_4' : d['c_0011_14'], 'c_0101_12' : d['c_0101_11'], 'c_0011_7' : d['c_0011_0'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_0101_3'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_13, c_0101_3, c_0101_5, c_0101_7, c_0101_8, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 51111284561632402884000537115873/8639210823828379486987294438552220\ *c_1100_1^19 + 562666219571372046839678851889761/345568432953135179\ 4794917775420888*c_1100_1^18 - 33400082884454181164367646307861839/\ 17278421647656758973974588877104440*c_1100_1^17 + 56110679721182877080143899621048423/4319605411914189743493647219276\ 110*c_1100_1^16 - 23243959886839362545647468744759049/4319605411914\ 18974349364721927611*c_1100_1^15 + 2360848217439661137623553159617117651/17278421647656758973974588877\ 104440*c_1100_1^14 - 618382114152788196445595596662500823/345568432\ 9531351794794917775420888*c_1100_1^13 - 499743742206503654660580450844712173/172784216476567589739745888771\ 04440*c_1100_1^12 + 8383707910300804656547205926968100607/172784216\ 47656758973974588877104440*c_1100_1^11 - 7852100100384846588812524689690534571/17278421647656758973974588877\ 104440*c_1100_1^10 - 8817455975606797674611549494000974481/86392108\ 23828379486987294438552220*c_1100_1^9 + 5711047014226518141146754821016096763/17278421647656758973974588877\ 10444*c_1100_1^8 - 16979404332882251156798372303474316717/431960541\ 1914189743493647219276110*c_1100_1^7 + 4003766113112453040826251678534578981/21598027059570948717468236096\ 38055*c_1100_1^6 + 1895929354964822661423334907393768027/4319605411\ 914189743493647219276110*c_1100_1^5 - 2493260691310267126204261666711568887/43196054119141897434936472192\ 76110*c_1100_1^4 - 370530366020998427772357125976603577/17278421647\ 656758973974588877104440*c_1100_1^3 - 3607647328944551650704680071537622291/86392108238283794869872944385\ 52220*c_1100_1^2 + 108628767414844386876114387011121237/25409443599\ 4952337852567483486830*c_1100_1 + 401878950607562104516263103185669\ 9041/17278421647656758973974588877104440, c_0011_0 - 1, c_0011_10 - 2242560350991126/14704016090361660115*c_1100_1^19 + 172180419188147139/58816064361446640460*c_1100_1^18 - 355882740510048792/14704016090361660115*c_1100_1^17 + 1297184681354739591/11763212872289328092*c_1100_1^16 - 246485859234052878/864942122962450595*c_1100_1^15 + 4808203907100489759/14704016090361660115*c_1100_1^14 + 818190841514893123/2940803218072332023*c_1100_1^13 - 19975091376284030143/14704016090361660115*c_1100_1^12 + 9515604425173500993/11763212872289328092*c_1100_1^11 + 49036556530854490388/14704016090361660115*c_1100_1^10 - 13535338942782750873/1729884245924901190*c_1100_1^9 + 67927439644827229101/11763212872289328092*c_1100_1^8 + 29932256326770136382/14704016090361660115*c_1100_1^7 - 143165579678275717723/29408032180723320230*c_1100_1^6 - 53977331266302672711/58816064361446640460*c_1100_1^5 + 50125278356557786863/11763212872289328092*c_1100_1^4 + 9360397267304372219/29408032180723320230*c_1100_1^3 - 122227520086286930933/58816064361446640460*c_1100_1^2 - 98445168981553487483/58816064361446640460*c_1100_1 - 52382328954156294669/58816064361446640460, c_0011_11 + 10106103740474803/14704016090361660115*c_1100_1^19 - 36357676185471690/2940803218072332023*c_1100_1^18 + 5501045474105008423/58816064361446640460*c_1100_1^17 - 22107590886286512039/58816064361446640460*c_1100_1^16 + 4674371196054585461/5881606436144664046*c_1100_1^15 - 29555417374664975177/58816064361446640460*c_1100_1^14 - 17035536728503647419/11763212872289328092*c_1100_1^13 + 174772139732841561351/58816064361446640460*c_1100_1^12 + 38143202555590295013/29408032180723320230*c_1100_1^11 - 658727367807287300013/58816064361446640460*c_1100_1^10 + 225222030267051019781/14704016090361660115*c_1100_1^9 - 77320428881475691049/11763212872289328092*c_1100_1^8 - 27754847703574263836/14704016090361660115*c_1100_1^7 - 47546467941835035149/14704016090361660115*c_1100_1^6 + 33583174898317915487/3459768491849802380*c_1100_1^5 - 115603223847830655189/58816064361446640460*c_1100_1^4 - 180089825622234941101/58816064361446640460*c_1100_1^3 - 257109068100861123891/58816064361446640460*c_1100_1^2 - 32712961611623133487/58816064361446640460*c_1100_1 + 642589747631701521/864942122962450595, c_0011_13 + 9962541378616537/14704016090361660115*c_1100_1^19 - 196088993544132723/14704016090361660115*c_1100_1^18 + 1661386653508821982/14704016090361660115*c_1100_1^17 - 31153441220445434177/58816064361446640460*c_1100_1^16 + 84538634640833653077/58816064361446640460*c_1100_1^15 - 28625183332491181961/14704016090361660115*c_1100_1^14 - 3182855787278398005/11763212872289328092*c_1100_1^13 + 296347109598253539299/58816064361446640460*c_1100_1^12 - 245832488066617900667/58816064361446640460*c_1100_1^11 - 34047790114196199251/2940803218072332023*c_1100_1^10 + 1962312929192220043763/58816064361446640460*c_1100_1^9 - 214951128477763703255/5881606436144664046*c_1100_1^8 + 1013465497799897790839/58816064361446640460*c_1100_1^7 - 23028485707103032329/5881606436144664046*c_1100_1^6 + 3814764621142586535/345976849184980238*c_1100_1^5 - 816994922359470106817/58816064361446640460*c_1100_1^4 + 133364176100786429403/58816064361446640460*c_1100_1^3 - 73929269143171770279/58816064361446640460*c_1100_1^2 + 218571381868086451243/58816064361446640460*c_1100_1 + 3530864625488656523/3459768491849802380, c_0011_14 - 312628860813591/507035037598677935*c_1100_1^19 + 11436900048757169/1014070075197355870*c_1100_1^18 - 8959179040936863/101407007519735587*c_1100_1^17 + 384892380485099771/1014070075197355870*c_1100_1^16 - 467740748792651407/507035037598677935*c_1100_1^15 + 508554315761177552/507035037598677935*c_1100_1^14 + 73756281162693089/101407007519735587*c_1100_1^13 - 1719240808609211148/507035037598677935*c_1100_1^12 + 1379219291528995651/1014070075197355870*c_1100_1^11 + 4819373846327230722/507035037598677935*c_1100_1^10 - 10593286187639464134/507035037598677935*c_1100_1^9 + 3734347191246816277/202814015039471174*c_1100_1^8 - 2512807749448250603/507035037598677935*c_1100_1^7 + 144053499907251624/507035037598677935*c_1100_1^6 - 451824250048871531/59651180893962110*c_1100_1^5 + 7828231344858950881/1014070075197355870*c_1100_1^4 + 502524201529073981/507035037598677935*c_1100_1^3 - 609429275859726659/1014070075197355870*c_1100_1^2 - 700550995699170161/202814015039471174*c_1100_1 - 110436552657462023/59651180893962110, c_0011_4 - 288924426249389/507035037598677935*c_1100_1^19 + 4999675298209267/507035037598677935*c_1100_1^18 - 35978312701424527/507035037598677935*c_1100_1^17 + 269282796732873143/1014070075197355870*c_1100_1^16 - 500027048610279909/1014070075197355870*c_1100_1^15 + 13537718690168888/101407007519735587*c_1100_1^14 + 241536856953496975/202814015039471174*c_1100_1^13 - 1588679302005961609/1014070075197355870*c_1100_1^12 - 2144754130140309597/1014070075197355870*c_1100_1^11 + 3929968007845674019/507035037598677935*c_1100_1^10 - 1526416221927240269/202814015039471174*c_1100_1^9 + 96683259828317250/101407007519735587*c_1100_1^8 + 762021232432046451/1014070075197355870*c_1100_1^7 + 2948618671124763253/507035037598677935*c_1100_1^6 - 3840417758425137977/507035037598677935*c_1100_1^5 - 657905254858842097/1014070075197355870*c_1100_1^4 + 224760070840682805/202814015039471174*c_1100_1^3 + 4597686117083782969/1014070075197355870*c_1100_1^2 + 2087386940852747571/1014070075197355870*c_1100_1 + 205612761474943339/202814015039471174, c_0101_0 - 6836696337174764/14704016090361660115*c_1100_1^19 + 25950733608892450/2940803218072332023*c_1100_1^18 - 62379924386257143/864942122962450595*c_1100_1^17 + 19217643126203223477/58816064361446640460*c_1100_1^16 - 10129491564692479841/11763212872289328092*c_1100_1^15 + 33828200461697710063/29408032180723320230*c_1100_1^14 + 950518791829421319/11763212872289328092*c_1100_1^13 - 157556579667510252543/58816064361446640460*c_1100_1^12 + 132255813663098317917/58816064361446640460*c_1100_1^11 + 92002835399690142406/14704016090361660115*c_1100_1^10 - 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