Magma V2.19-8 Wed Aug 21 2013 01:07:46 on localhost [Seed = 2378929327] Type ? for help. Type -D to quit. Loading file "L14n33949__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33949 geometric_solution 12.45769009 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 1 1 0 0 0 0 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 -1 0 1 -1 0 0 1 1 -2 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644408162007 0.966895956985 0 5 6 4 0132 0132 0132 1023 0 0 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 0 0 0 1 0 1 -2 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644408162007 0.966895956985 7 0 9 8 0132 0132 0132 0132 0 0 1 1 0 0 0 0 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 1 0 -1 0 0 0 0 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895293453947 1.308265735794 10 6 11 0 0132 0132 0132 0132 0 0 1 1 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 2 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644408162007 0.966895956985 12 8 0 1 0132 1023 0132 1023 0 0 1 1 0 1 0 -1 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 -1 -1 2 1 0 -1 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 0.285053888865 0.683607694923 12 1 10 9 3120 0132 0132 0132 0 0 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 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 0.140162339188 0.723349068780 9 3 11 1 0132 0132 1023 0132 0 0 1 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 1 0 0 -1 0 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644408162007 0.966895956985 2 12 9 11 0132 3120 3012 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755131114760 0.584916667014 4 11 2 10 1023 1023 0132 0132 0 0 1 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 0 1 -1 1 0 0 -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 -0.008992247166 0.732913222999 6 7 5 2 0132 1230 0132 0132 0 0 1 1 0 0 0 0 1 0 -1 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 -1 0 1 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140162339188 0.723349068780 3 12 8 5 0132 1230 0132 0132 0 0 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 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 0.895293453947 1.308265735794 8 7 6 3 1023 1302 1023 0132 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 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 0.285053888865 0.683607694923 4 7 10 5 0132 3120 3012 3120 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 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 0.608992846719 1.454697136342 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_0101_3'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : negation(d['c_0011_0']), 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(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_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_10'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0101_3'], 'c_1100_8' : d['c_1100_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_0101_3']), 's_1_7' : negation(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' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_0'], '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_1'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_7, c_1001_1, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 10336980536371249188165141570379537619/2687739060840365544383237842\ 6490479*c_1100_10^15 - 1576277841478790286765370737773689859754/779\ 444327643706007871138974368223891*c_1100_10^14 + 1495048358997144702873585700314719935082/77944432764370600787113897\ 4368223891*c_1100_10^13 + 1422296186347675302954085976332367596510/\ 779444327643706007871138974368223891*c_1100_10^12 - 3960455580837999004551581858544666475/14145995057054555496753883382\ 36341*c_1100_10^11 + 1322051506032618000422510349373671557838/77944\ 4327643706007871138974368223891*c_1100_10^10 + 2769718156211344615228733416804938362644/77944432764370600787113897\ 4368223891*c_1100_10^9 - 2603724538087183924772558692193471043659/7\ 79444327643706007871138974368223891*c_1100_10^8 - 155703497183167202297755897966003406829/268773906084036554438323784\ 26490479*c_1100_10^7 - 3408392150529923431954653063579162125719/779\ 444327643706007871138974368223891*c_1100_10^6 - 2214184537053511177776883742705161721987/77944432764370600787113897\ 4368223891*c_1100_10^5 - 938036346565734875027291061569451764338/77\ 9444327643706007871138974368223891*c_1100_10^4 - 210260847912011504635555177085814747678/779444327643706007871138974\ 368223891*c_1100_10^3 - 16153283901017250721234824005399565452/7794\ 44327643706007871138974368223891*c_1100_10^2 + 5477560929903130630364087750866730092/77944432764370600787113897436\ 8223891*c_1100_10 + 1172484560109043798959731955021074131/779444327\ 643706007871138974368223891, c_0011_0 - 1, c_0011_10 + 24273745356857567227180402113076911/32897662923382687201753\ 217168287*c_1100_10^15 - 46568566448990621268328644728814598/328976\ 62923382687201753217168287*c_1100_10^14 - 14121974432837989515312518297776081/3289766292338268720175321716828\ 7*c_1100_10^13 + 51892471415932052810476806946603704/32897662923382\ 687201753217168287*c_1100_10^12 - 442453777347866928702403204595982\ 48/32897662923382687201753217168287*c_1100_10^11 - 32612609254441359282503045673988337/3289766292338268720175321716828\ 7*c_1100_10^10 + 107244053546477340814978633932614995/3289766292338\ 2687201753217168287*c_1100_10^9 + 108993585778569130349652824928538\ 329/32897662923382687201753217168287*c_1100_10^8 + 29788885037122581630794114120122467/3289766292338268720175321716828\ 7*c_1100_10^7 - 4943930145990638418989979956346701/3289766292338268\ 7201753217168287*c_1100_10^6 - 12361422937585311317663225046368821/\ 32897662923382687201753217168287*c_1100_10^5 - 8055211635206633997871230978798538/32897662923382687201753217168287\ *c_1100_10^4 - 2216187768382992249659777569663858/32897662923382687\ 201753217168287*c_1100_10^3 + 1091971119071796666365000079700668/32\ 897662923382687201753217168287*c_1100_10^2 + 927676904235616703956400107018309/32897662923382687201753217168287*\ c_1100_10 + 185235549171136442565749318446738/328976629233826872017\ 53217168287, c_0011_11 + 91839897169958462591557048719247553/32897662923382687201753\ 217168287*c_1100_10^15 - 225718072929683024338644368185124297/32897\ 662923382687201753217168287*c_1100_10^14 + 75706808497826641512239799300945849/3289766292338268720175321716828\ 7*c_1100_10^13 + 134700611539243351423737011900538328/3289766292338\ 2687201753217168287*c_1100_10^12 - 225234711215302080232337296106533330/328976629233826872017532171682\ 87*c_1100_10^11 - 1219391517566040624829606799455759/32897662923382\ 687201753217168287*c_1100_10^10 + 392819005077228201345769887426108\ 318/32897662923382687201753217168287*c_1100_10^9 + 205997536264102139011112051840828157/328976629233826872017532171682\ 87*c_1100_10^8 + 25523019352224778371217479201937550/32897662923382\ 687201753217168287*c_1100_10^7 - 2019726171686712028348316186300768\ 7/32897662923382687201753217168287*c_1100_10^6 - 32058286655245724158488086039982634/3289766292338268720175321716828\ 7*c_1100_10^5 - 19333273555425686165918508401535269/328976629233826\ 87201753217168287*c_1100_10^4 - 733804145500402280041236157715062/3\ 2897662923382687201753217168287*c_1100_10^3 + 3739159237819904501391353714525955/32897662923382687201753217168287\ *c_1100_10^2 + 1473326213171672944753142814294517/32897662923382687\ 201753217168287*c_1100_10 + 203455615123512450950084359003382/32897\ 662923382687201753217168287, c_0101_0 - 1, c_0101_1 - 79100918684976232927411336330100641/986929887701480616052596\ 51504861*c_1100_10^15 + 212639811222037263955040158836326686/986929\ 88770148061605259651504861*c_1100_10^14 - 38680625445098976402966248513069603/3289766292338268720175321716828\ 7*c_1100_10^13 - 27877467440544084746937340239975061/32897662923382\ 687201753217168287*c_1100_10^12 + 208310911398228023223060624929017\ 877/98692988770148061605259651504861*c_1100_10^11 - 46752142850893538587149274201975808/9869298877014806160525965150486\ 1*c_1100_10^10 - 323047770419764813494758628128168176/9869298877014\ 8061605259651504861*c_1100_10^9 - 105797162058643317276804611237977\ 345/98692988770148061605259651504861*c_1100_10^8 - 1271577612995879503514447922575637/32897662923382687201753217168287\ *c_1100_10^7 + 18057964562228708896387015262115704/9869298877014806\ 1605259651504861*c_1100_10^6 + 23435556169862140988597635465246432/\ 98692988770148061605259651504861*c_1100_10^5 + 11795987758004302113254339959031105/9869298877014806160525965150486\ 1*c_1100_10^4 - 535735774327858018698882748517647/32897662923382687\ 201753217168287*c_1100_10^3 - 825154943533289004174487781832644/328\ 97662923382687201753217168287*c_1100_10^2 - 772534331534396550207662874453089/98692988770148061605259651504861*\ c_1100_10 - 89822090321080604900425365964567/9869298877014806160525\ 9651504861, c_0101_11 - 30567492942873821656502602767111744/32897662923382687201753\ 217168287*c_1100_10^15 + 84561389692828867730652478584989682/328976\ 62923382687201753217168287*c_1100_10^14 - 53417691958916599949268467821100168/3289766292338268720175321716828\ 7*c_1100_10^13 - 22720404793270826611317024829770881/32897662923382\ 687201753217168287*c_1100_10^12 + 792992433359808570718138729275709\ 06/32897662923382687201753217168287*c_1100_10^11 - 27073550886332710367014446831513277/3289766292338268720175321716828\ 7*c_1100_10^10 - 116431759934691453757883025906882876/3289766292338\ 2687201753217168287*c_1100_10^9 - 335907331448193780772954752029710\ 57/32897662923382687201753217168287*c_1100_10^8 - 7332526331366237227774476079390595/32897662923382687201753217168287\ *c_1100_10^7 + 5979067868041799436523769214616672/32897662923382687\ 201753217168287*c_1100_10^6 + 9505949675565557150428772940038800/32\ 897662923382687201753217168287*c_1100_10^5 + 4274212733012624074800936041223506/32897662923382687201753217168287\ *c_1100_10^4 - 426242299652488430203411783081795/328976629233826872\ 01753217168287*c_1100_10^3 - 836171849620273487564630994893364/3289\ 7662923382687201753217168287*c_1100_10^2 - 282324752739858468543313316920854/32897662923382687201753217168287*\ c_1100_10 - 77693067410215609412000231040157/3289766292338268720175\ 3217168287, c_0101_12 + 79695500454859917374569657378352098/32897662923382687201753\ 217168287*c_1100_10^15 - 202119502492651051903082684839168464/32897\ 662923382687201753217168287*c_1100_10^14 + 84480692235842141199840908275166477/3289766292338268720175321716828\ 7*c_1100_10^13 + 101563743814090514266689744421163952/3289766292338\ 2687201753217168287*c_1100_10^12 - 196338718952554615730998634180902230/328976629233826872017532171682\ 87*c_1100_10^11 + 14649100011470912513362204340939537/3289766292338\ 2687201753217168287*c_1100_10^10 + 331984572840731720916308181823194986/328976629233826872017532171682\ 87*c_1100_10^9 + 157375699295671187651506934918844793/3289766292338\ 2687201753217168287*c_1100_10^8 + 194665327140965249969098699619561\ 79/32897662923382687201753217168287*c_1100_10^7 - 17826307384738546004753337475758409/3289766292338268720175321716828\ 7*c_1100_10^6 - 24966803515334959276322009942742704/328976629233826\ 87201753217168287*c_1100_10^5 - 14855221620243384295737901218113797\ /32897662923382687201753217168287*c_1100_10^4 - 90255551145597223566133590532367/32897662923382687201753217168287*c\ _1100_10^3 + 2983317120390136009204664634676052/3289766292338268720\ 1753217168287*c_1100_10^2 + 1040759328112324400063391811780220/3289\ 7662923382687201753217168287*c_1100_10 + 161089369168658906970462310622190/32897662923382687201753217168287, c_0101_2 + 4707340638479131393940366196600543/3289766292338268720175321\ 7168287*c_1100_10^15 - 13458214519060886675319434885136801/32897662\ 923382687201753217168287*c_1100_10^14 + 8720201455363773734419080355934126/32897662923382687201753217168287\ *c_1100_10^13 + 5043042733384949456291318236449111/3289766292338268\ 7201753217168287*c_1100_10^12 - 14635390936848892735388308545216216\ /32897662923382687201753217168287*c_1100_10^11 + 5089613460453469914936517803401773/32897662923382687201753217168287\ *c_1100_10^10 + 19892954794059842087448488287203520/328976629233826\ 87201753217168287*c_1100_10^9 + 2133272265405856043231991605575532/\ 32897662923382687201753217168287*c_1100_10^8 - 2219729190811777405314777534943385/32897662923382687201753217168287\ 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