Magma V2.19-8 Tue Aug 20 2013 17:56:38 on localhost [Seed = 2631739568] Type ? for help. Type -D to quit. Loading file "9_26__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9_26 geometric_solution 10.59584051 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 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 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249356543439 1.452833443835 0 4 2 2 0132 2031 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.116133713082 1.267256112001 1 0 5 1 2031 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370258864465 0.530864018643 6 6 7 0 0132 1230 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 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 0.724677770881 0.775201547442 1 8 0 8 1302 0132 0132 1230 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 -1 1 0 0 0 0 -1 -7 0 8 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413303229191 0.644784764752 7 8 7 2 2310 0321 1302 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 -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 0.536675539881 0.895460275206 3 9 3 10 0132 0132 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356468529836 0.688397811474 5 9 5 3 2031 1230 3201 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536675539881 0.895460275206 4 4 10 5 3012 0132 1302 0321 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 0 0 1 0 0 0 0 -8 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772009565821 0.848445110066 10 6 7 10 3120 0132 3012 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.946884496758 0.770218945240 8 9 6 9 2031 0321 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.089111228173 1.292186875462 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_7'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_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_10' : 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_1100_9' : negation(d['c_0011_7']), 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0101_9']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(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'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_10' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_0, c_0101_10, c_0101_2, c_0101_9, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t + 1567970281680627476/577463056580375*c_1001_2^22 - 27965948325124880514/577463056580375*c_1001_2^21 + 244758952322238553278/577463056580375*c_1001_2^20 - 279689644605097751711/115492611316075*c_1001_2^19 + 5859736160011120966309/577463056580375*c_1001_2^18 - 19171218241455281371378/577463056580375*c_1001_2^17 + 50870857735463024615354/577463056580375*c_1001_2^16 - 16024328258146936674256/82494722368625*c_1001_2^15 + 208778891064377606883521/577463056580375*c_1001_2^14 - 331239137643532467496789/577463056580375*c_1001_2^13 + 450340693603925854421609/577463056580375*c_1001_2^12 - 525431034529941763018604/577463056580375*c_1001_2^11 + 524894450603908342666741/577463056580375*c_1001_2^10 - 63720941902684839785617/82494722368625*c_1001_2^9 + 45511724419094525639928/82494722368625*c_1001_2^8 - 5354298113824405073701/16498944473725*c_1001_2^7 + 12528405004862764551479/82494722368625*c_1001_2^6 - 30607425104635089686412/577463056580375*c_1001_2^5 + 6857204755453300266937/577463056580375*c_1001_2^4 - 479041813380477048012/577463056580375*c_1001_2^3 - 25972331256534261623/82494722368625*c_1001_2^2 + 3158986227614246212/82494722368625*c_1001_2 + 14203919939457561594/577463056580375, c_0011_0 - 1, c_0011_10 + 363169156486/94279682707*c_1001_2^22 - 6207166657726/94279682707*c_1001_2^21 + 51943283968416/94279682707*c_1001_2^20 - 40456426772754/13468526101*c_1001_2^19 + 1130317849916244/94279682707*c_1001_2^18 - 3516539575902420/94279682707*c_1001_2^17 + 1265112230558874/13468526101*c_1001_2^16 - 2640834388131330/13468526101*c_1001_2^15 + 32466217090331582/94279682707*c_1001_2^14 - 48398657550284777/94279682707*c_1001_2^13 + 61490033339169488/94279682707*c_1001_2^12 - 66566131358446560/94279682707*c_1001_2^11 + 61118646987185947/94279682707*c_1001_2^10 - 6731614131219938/13468526101*c_1001_2^9 + 29972386627789383/94279682707*c_1001_2^8 - 15258235440545430/94279682707*c_1001_2^7 + 5884828945379172/94279682707*c_1001_2^6 - 1529318151138517/94279682707*c_1001_2^5 + 180575529115332/94279682707*c_1001_2^4 + 22941207238960/94279682707*c_1001_2^3 - 5641969411420/94279682707*c_1001_2^2 - 2296176986987/94279682707*c_1001_2 + 208115832146/94279682707, c_0011_3 + 46846010634/13468526101*c_1001_2^22 - 5656173292110/94279682707*c_1001_2^21 + 47714313235976/94279682707*c_1001_2^20 - 37428997409562/13468526101*c_1001_2^19 + 1052437817480306/94279682707*c_1001_2^18 - 3293296809071378/94279682707*c_1001_2^17 + 8338379877506650/94279682707*c_1001_2^16 - 17495451352842896/94279682707*c_1001_2^15 + 30882205080703596/94279682707*c_1001_2^14 - 46273226365629860/94279682707*c_1001_2^13 + 59106217196967760/94279682707*c_1001_2^12 - 64362996386266470/94279682707*c_1001_2^11 + 59496947996071556/94279682707*c_1001_2^10 - 46251170036025900/94279682707*c_1001_2^9 + 29738482314819970/94279682707*c_1001_2^8 - 15375741867745580/94279682707*c_1001_2^7 + 6081448071245896/94279682707*c_1001_2^6 - 1662945113154272/94279682707*c_1001_2^5 + 233636864982953/94279682707*c_1001_2^4 + 1800083659933/13468526101*c_1001_2^3 - 6605746939382/94279682707*c_1001_2^2 - 1894003798581/94279682707*c_1001_2 + 28424553200/13468526101, c_0011_4 + 178941638808/94279682707*c_1001_2^22 - 3182591170296/94279682707*c_1001_2^21 + 27595429145442/94279682707*c_1001_2^20 - 155342418696630/94279682707*c_1001_2^19 + 638251374045058/94279682707*c_1001_2^18 - 2038978808202480/94279682707*c_1001_2^17 + 5262504651880828/94279682707*c_1001_2^16 - 11242389417798888/94279682707*c_1001_2^15 + 20187022247918402/94279682707*c_1001_2^14 - 30747546841553614/94279682707*c_1001_2^13 + 39899117256864524/94279682707*c_1001_2^12 - 44112316884170879/94279682707*c_1001_2^11 + 41372668457992358/94279682707*c_1001_2^10 - 32599850637873941/94279682707*c_1001_2^9 + 21210813399995127/94279682707*c_1001_2^8 - 11060390325549842/94279682707*c_1001_2^7 + 625211111292444/13468526101*c_1001_2^6 - 1168390652457038/94279682707*c_1001_2^5 + 139611078976219/94279682707*c_1001_2^4 + 20523340155380/94279682707*c_1001_2^3 - 5967385467478/94279682707*c_1001_2^2 - 2056930000602/94279682707*c_1001_2 + 167613598473/94279682707, c_0011_5 + 21110312116/94279682707*c_1001_2^22 - 194914268753/94279682707*c_1001_2^21 + 333538711636/94279682707*c_1001_2^20 + 4832539119252/94279682707*c_1001_2^19 - 44282051116251/94279682707*c_1001_2^18 + 211429318169478/94279682707*c_1001_2^17 - 710269857990655/94279682707*c_1001_2^16 + 1843812321391742/94279682707*c_1001_2^15 - 3864788381561882/94279682707*c_1001_2^14 + 6697763249406548/94279682707*c_1001_2^13 - 9720704205612542/94279682707*c_1001_2^12 + 11881416437501098/94279682707*c_1001_2^11 - 12226822872486025/94279682707*c_1001_2^10 + 10528691354627825/94279682707*c_1001_2^9 - 7484567157629173/94279682707*c_1001_2^8 + 612333514403944/13468526101*c_1001_2^7 - 1890713515527294/94279682707*c_1001_2^6 + 587969570319270/94279682707*c_1001_2^5 - 100797276353706/94279682707*c_1001_2^4 - 147293833548/13468526101*c_1001_2^3 + 3270108984661/94279682707*c_1001_2^2 + 841163302339/94279682707*c_1001_2 - 172655306791/94279682707, c_0011_7 - 53063375908/13468526101*c_1001_2^22 + 6339377038710/94279682707*c_1001_2^21 - 52970176862448/94279682707*c_1001_2^20 + 288355477435850/94279682707*c_1001_2^19 - 1149178692067254/94279682707*c_1001_2^18 + 3569916676031892/94279682707*c_1001_2^17 - 8977157385482572/94279682707*c_1001_2^16 + 18712559159658782/94279682707*c_1001_2^15 - 4688382886143521/13468526101*c_1001_2^14 + 48857859470946305/94279682707*c_1001_2^13 - 61992817575653571/94279682707*c_1001_2^12 + 67029311626841836/94279682707*c_1001_2^11 - 8782774270126267/13468526101*c_1001_2^10 + 6766266554913334/13468526101*c_1001_2^9 - 30121614773008147/94279682707*c_1001_2^8 + 15350704713056690/94279682707*c_1001_2^7 - 5944953773090533/94279682707*c_1001_2^6 + 1566374774625053/94279682707*c_1001_2^5 - 198802016697547/94279682707*c_1001_2^4 - 17090918862814/94279682707*c_1001_2^3 + 4885726925699/94279682707*c_1001_2^2 + 2164752757201/94279682707*c_1001_2 - 223601543225/94279682707, c_0101_0 - 338766855095/94279682707*c_1001_2^22 + 5780146848731/94279682707*c_1001_2^21 - 48278697380127/94279682707*c_1001_2^20 + 37529149636232/13468526101*c_1001_2^19 - 1046540044340629/94279682707*c_1001_2^18 + 3250136385730450/94279682707*c_1001_2^17 - 8172026866917467/94279682707*c_1001_2^16 + 17036077824700138/94279682707*c_1001_2^15 - 29890341380804700/94279682707*c_1001_2^14 + 44533212916377728/94279682707*c_1001_2^13 - 56578187799648524/94279682707*c_1001_2^12 + 61294256297719734/94279682707*c_1001_2^11 - 56379613192470208/94279682707*c_1001_2^10 + 43612794820103277/94279682707*c_1001_2^9 - 3985480093905034/13468526101*c_1001_2^8 + 14337544740473644/94279682707*c_1001_2^7 - 5620986944137708/94279682707*c_1001_2^6 + 1507628290384278/94279682707*c_1001_2^5 - 194466079738652/94279682707*c_1001_2^4 - 20862203465408/94279682707*c_1001_2^3 + 7918222948116/94279682707*c_1001_2^2 + 1702859990117/94279682707*c_1001_2 - 166111548304/94279682707, c_0101_10 + 42220624232/94279682707*c_1001_2^22 - 389828537506/94279682707*c_1001_2^21 + 667077423272/94279682707*c_1001_2^20 + 9665078238504/94279682707*c_1001_2^19 - 88564102232502/94279682707*c_1001_2^18 + 422858636338956/94279682707*c_1001_2^17 - 1420539715981310/94279682707*c_1001_2^16 + 3687624642783484/94279682707*c_1001_2^15 - 7729576763123764/94279682707*c_1001_2^14 + 13395526498813096/94279682707*c_1001_2^13 - 19441408411225084/94279682707*c_1001_2^12 + 23762832875002196/94279682707*c_1001_2^11 - 24453645744972050/94279682707*c_1001_2^10 + 21057382709255650/94279682707*c_1001_2^9 - 14969134315258346/94279682707*c_1001_2^8 + 1224667028807888/13468526101*c_1001_2^7 - 3781427031054588/94279682707*c_1001_2^6 + 1175939140638540/94279682707*c_1001_2^5 - 201594552707412/94279682707*c_1001_2^4 - 308056193197/13468526101*c_1001_2^3 + 6728777334736/94279682707*c_1001_2^2 + 1399487556557/94279682707*c_1001_2 - 251030930875/94279682707, c_0101_2 + 338152633892/94279682707*c_1001_2^22 - 5932822293842/94279682707*c_1001_2^21 + 50858021982416/94279682707*c_1001_2^20 - 283575798119522/94279682707*c_1001_2^19 + 165138691065742/13468526101*c_1001_2^18 - 3669183489103080/94279682707*c_1001_2^17 + 1345839554154576/13468526101*c_1001_2^16 - 20043785796758394/94279682707*c_1001_2^15 + 35881471287989916/94279682707*c_1001_2^14 - 54544120941596680/94279682707*c_1001_2^13 + 70720683976924563/94279682707*c_1001_2^12 - 78232040134463281/94279682707*c_1001_2^11 + 10506023203485392/13468526101*c_1001_2^10 - 58219581302591981/94279682707*c_1001_2^9 + 38192966632967068/94279682707*c_1001_2^8 - 20198930518522136/94279682707*c_1001_2^7 + 8199822298856108/94279682707*c_1001_2^6 - 2311504592216564/94279682707*c_1001_2^5 + 47904958796405/13468526101*c_1001_2^4 + 20466627983202/94279682707*c_1001_2^3 - 1672667268982/13468526101*c_1001_2^2 - 2565813189956/94279682707*c_1001_2 + 378654867565/94279682707, c_0101_9 - 39277402432/94279682707*c_1001_2^22 + 841048154938/94279682707*c_1001_2^21 - 8345675419992/94279682707*c_1001_2^20 + 52096150840742/94279682707*c_1001_2^19 - 232305266935654/94279682707*c_1001_2^18 + 793363364641626/94279682707*c_1001_2^17 - 2165708875228352/94279682707*c_1001_2^16 + 693758221705392/13468526101*c_1001_2^15 - 9102872650984296/94279682707*c_1001_2^14 + 14417049092261596/94279682707*c_1001_2^13 - 19402051878130994/94279682707*c_1001_2^12 + 22214882485867006/94279682707*c_1001_2^11 - 21574953242886502/94279682707*c_1001_2^10 + 17633490449302184/94279682707*c_1001_2^9 - 11954563554633074/94279682707*c_1001_2^8 + 6561132117267908/94279682707*c_1001_2^7 - 2795222905617444/94279682707*c_1001_2^6 + 855767895574885/94279682707*c_1001_2^5 - 157013951776054/94279682707*c_1001_2^4 + 7494416639252/94279682707*c_1001_2^3 + 2258702391273/94279682707*c_1001_2^2 + 869086632034/94279682707*c_1001_2 - 122080728837/94279682707, c_1001_2^23 - 18*c_1001_2^22 + 159*c_1001_2^21 - 917*c_1001_2^20 + 3879*c_1001_2^19 - 12814*c_1001_2^18 + 34341*c_1001_2^17 - 76508*c_1001_2^16 + 143964*c_1001_2^15 - 231098*c_1001_2^14 + 318240*c_1001_2^13 - 376640*c_1001_2^12 + 382432*c_1001_2^11 - 331258*c_1001_2^10 + 242172*c_1001_2^9 - 146769*c_1001_2^8 + 71568*c_1001_2^7 - 26624*c_1001_2^6 + 6760*c_1001_2^5 - 810*c_1001_2^4 - 88*c_1001_2^3 + 28*c_1001_2^2 + 8*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB