| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
| 42.0.118...207.1 |
$x^{42} - x^{35} + x^{28} - x^{21} + x^{14} - x^{7} + 1$ |
$42$ |
[0,21] |
$-\,7^{77}$ |
$1$ |
$35.4279812936$ |
$35.4279812935747$ |
✓ |
✓ |
✓ |
$C_{42}$ (as 42T1) |
$[43]$ |
$98$ |
$20$ |
$1776855897760068.5$ |
| 42.0.938...043.1 |
$x^{42} - x^{41} + x^{40} - x^{39} + x^{38} - x^{37} + x^{36} - x^{35} + x^{34} - x^{33} + x^{32} - x^{31} + x^{30} - x^{29} + x^{28} - x^{27} + x^{26} - x^{25} + x^{24} - x^{23} + x^{22} - x^{21} + x^{20} - x^{19} + x^{18} - x^{17} + x^{16} - x^{15} + x^{14} - x^{13} + x^{12} - x^{11} + x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1$ |
$42$ |
[0,21] |
$-\,43^{41}$ |
$1$ |
$39.3166357953$ |
$39.31663579527138$ |
✓ |
✓ |
✓ |
$C_{42}$ (as 42T1) |
$[211]$ |
$86$ |
$20$ |
$2748021948787771.5$ |
| 42.0.176...003.1 |
$x^{42} + 21 x^{40} + 252 x^{38} + 2065 x^{36} - x^{35} + 12789 x^{34} - 7 x^{33} + 62181 x^{32} + 7 x^{31} + 244265 x^{30} + 574 x^{29} + 784101 x^{28} + 5341 x^{27} + 2075577 x^{26} + 29988 x^{25} + 4529364 x^{24} + 118188 x^{23} + 8142834 x^{22} + 346087 x^{21} + 11951541 x^{20} + 767956 x^{19} + 14210490 x^{18} + 1288070 x^{17} + 13430361 x^{16} + 1624252 x^{15} + 9960725 x^{14} + 1486219 x^{13} + 5587183 x^{12} + 983626 x^{11} + 2322670 x^{10} + 429093 x^{9} + 648396 x^{8} + 121077 x^{7} + 117649 x^{6} + 14763 x^{5} + 7399 x^{4} + 56 x^{3} + 245 x^{2} + 14 x + 1$ |
$42$ |
[0,21] |
$-\,3^{21}\cdot 7^{76}$ |
$2$ |
$58.5848944957$ |
$58.58489449574821$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
$[136619]$ |
$6$ |
$20$ |
$1776855897760068.5$ |
| 42.42.123...021.1 |
$x^{42} - 42 x^{40} + 819 x^{38} - 9842 x^{36} - x^{35} + 81585 x^{34} + 35 x^{33} - 494802 x^{32} - 560 x^{31} + 2272424 x^{30} + 5425 x^{29} - 8069424 x^{28} - 35525 x^{27} + 22428252 x^{26} + 166257 x^{25} - 49085400 x^{24} - 573300 x^{23} + 84672315 x^{22} + 1480051 x^{21} - 114717330 x^{20} - 2877896 x^{19} + 121090515 x^{18} + 4206314 x^{17} - 98285670 x^{16} - 4577216 x^{15} + 60174899 x^{14} + 3643150 x^{13} - 27041546 x^{12} - 2063243 x^{11} + 8580418 x^{10} + 798357 x^{9} - 1816836 x^{8} - 198948 x^{7} + 235249 x^{6} + 29211 x^{5} - 15974 x^{4} - 2170 x^{3} + 392 x^{2} + 56 x + 1$ |
$42$ |
[42,0] |
$3^{21}\cdot 7^{77}$ |
$2$ |
$61.3630636101$ |
$61.363063610071144$ |
|
✓ |
✓ |
$C_{42}$ (as 42T1) |
trivial |
$2$ |
$41$ |
$1966641158581684500000000$ |
| 42.0.228...203.1 |
$x^{42} - x^{41} + 21 x^{40} - 18 x^{39} + 248 x^{38} - 191 x^{37} + 1996 x^{36} - 1375 x^{35} + 12088 x^{34} - 7495 x^{33} + 57373 x^{32} - 31825 x^{31} + 219409 x^{30} - 108700 x^{29} + 684645 x^{28} - 300153 x^{27} + 1757705 x^{26} - 677756 x^{25} + 3715466 x^{24} - 1242500 x^{23} + 6455978 x^{22} - 1853597 x^{21} + 9148985 x^{20} - 2205194 x^{19} + 10469894 x^{18} - 2090336 x^{17} + 9505112 x^{16} - 1507895 x^{15} + 6709547 x^{14} - 839645 x^{13} + 3559478 x^{12} - 314951 x^{11} + 1368367 x^{10} - 93808 x^{9} + 355278 x^{8} - 10362 x^{7} + 58036 x^{6} - 2497 x^{5} + 4950 x^{4} + 165 x^{3} + 176 x^{2} - 11 x + 1$ |
$42$ |
[0,21] |
$-\,3^{21}\cdot 43^{40}$ |
$2$ |
$62.2651259274$ |
$62.26512592738671$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
$[179249]$ |
$6$ |
$20$ |
$2748021948787771.5$ |
| 42.0.742...504.1 |
$x^{42} + 42 x^{40} + 819 x^{38} + 9842 x^{36} + 81585 x^{34} + 494802 x^{32} + 2272424 x^{30} + 8069423 x^{28} + 22428224 x^{26} + 49085050 x^{24} + 84669739 x^{22} + 114704933 x^{20} + 121049551 x^{18} + 98190708 x^{16} + 60019861 x^{14} + 26865216 x^{12} + 8444436 x^{10} + 1749188 x^{8} + 215453 x^{6} + 13181 x^{4} + 294 x^{2} + 1$ |
$42$ |
[0,21] |
$-\,2^{42}\cdot 7^{76}$ |
$2$ |
$67.6480092151$ |
$67.6480092151321$ |
✓ |
✓ |
✓ |
$C_{42}$ (as 42T1) |
$[1923461]$ |
$4$ |
$20$ |
$1776855897760068.5$ |
| 42.42.981...729.1 |
$x^{42} - x^{41} - 42 x^{40} + 42 x^{39} + 818 x^{38} - 818 x^{37} - 9803 x^{36} + 9803 x^{35} + 80884 x^{34} - 80884 x^{33} - 487103 x^{32} + 487103 x^{31} + 2214673 x^{30} - 2214673 x^{29} - 7756167 x^{28} + 7756167 x^{27} + 21159269 x^{26} - 21159269 x^{25} - 45176143 x^{24} + 45176143 x^{23} + 75433697 x^{22} - 75433697 x^{21} - 97942948 x^{20} + 97942948 x^{19} + 97804877 x^{18} - 97804877 x^{17} - 73850908 x^{16} + 73850908 x^{15} + 41150012 x^{14} - 41150012 x^{13} - 16350448 x^{12} + 16350448 x^{11} + 4413607 x^{10} - 4413607 x^{9} - 753918 x^{8} + 753918 x^{7} + 72886 x^{6} - 72886 x^{5} - 3267 x^{4} + 3267 x^{3} + 44 x^{2} - 44 x + 1$ |
$42$ |
[42,0] |
$3^{21}\cdot 43^{41}$ |
$2$ |
$68.0984107801$ |
$68.09841078009121$ |
|
✓ |
✓ |
$C_{42}$ (as 42T1) |
trivial |
$2$ |
$41$ |
$16535537450237775000000000$ |
| 42.42.519...528.1 |
$x^{42} - 42 x^{40} + 819 x^{38} - 9842 x^{36} + 81585 x^{34} - 494802 x^{32} + 2272424 x^{30} - 8069425 x^{28} + 22428280 x^{26} - 49085750 x^{24} + 84674891 x^{22} - 114729727 x^{20} + 121131479 x^{18} - 98380632 x^{16} + 60329941 x^{14} - 27217932 x^{12} + 8716708 x^{10} - 1885324 x^{8} + 256221 x^{6} - 19551 x^{4} + 686 x^{2} - 7$ |
$42$ |
[42,0] |
$2^{42}\cdot 7^{77}$ |
$2$ |
$70.8559625871$ |
$70.8559625871494$ |
|
✓ |
✓ |
$C_{42}$ (as 42T1) |
trivial |
$2$ |
$41$ |
$40972406918644810000000000$ |
| 42.0.959...104.1 |
$x^{42} + 41 x^{40} + 780 x^{38} + 9139 x^{36} + 73815 x^{34} + 435897 x^{32} + 1947792 x^{30} + 6724520 x^{28} + 18156204 x^{26} + 38567100 x^{24} + 64512240 x^{22} + 84672315 x^{20} + 86493225 x^{18} + 67863915 x^{16} + 40116600 x^{14} + 17383860 x^{12} + 5311735 x^{10} + 1081575 x^{8} + 134596 x^{6} + 8855 x^{4} + 231 x^{2} + 1$ |
$42$ |
[0,21] |
$-\,2^{42}\cdot 43^{40}$ |
$2$ |
$71.8975744306$ |
$71.89757443060533$ |
✓ |
✓ |
✓ |
$C_{42}$ (as 42T1) |
$[2, 1878326]$ |
$4$ |
$20$ |
$2748021948787771.5$ |
| 42.42.805...125.1 |
$x^{42} - 63 x^{40} + 1764 x^{38} - 29043 x^{36} - 29 x^{35} + 313845 x^{34} + 1295 x^{33} - 2356263 x^{32} - 24605 x^{31} + 12710649 x^{30} + 262360 x^{29} - 50338309 x^{28} - 1751015 x^{27} + 148468453 x^{26} + 7757582 x^{25} - 329114310 x^{24} - 23675820 x^{23} + 550880022 x^{22} + 50961633 x^{21} - 696364921 x^{20} - 78352652 x^{19} + 661675518 x^{18} + 86284422 x^{17} - 467756891 x^{16} - 67555180 x^{15} + 241883075 x^{14} + 36893815 x^{13} - 89215119 x^{12} - 13584956 x^{11} + 22638112 x^{10} + 3191321 x^{9} - 3752308 x^{8} - 437383 x^{7} + 374801 x^{6} + 29995 x^{5} - 19355 x^{4} - 798 x^{3} + 343 x^{2} + 14 x - 1$ |
$42$ |
[42,0] |
$5^{21}\cdot 7^{76}$ |
$2$ |
$75.6327735738$ |
$75.6327735737838$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
trivial |
$2$ |
$41$ |
$119589768703493500000000000$ |
| 42.42.412...472.1 |
$x^{42} - 43 x^{40} + 860 x^{38} - 10621 x^{36} + 90687 x^{34} - 567987 x^{32} + 2701776 x^{30} - 9970840 x^{28} + 28915436 x^{26} - 66335412 x^{24} + 120609840 x^{22} - 173376645 x^{20} + 195747825 x^{18} - 171655785 x^{16} + 115000920 x^{14} - 57500460 x^{12} + 20764055 x^{10} - 5167525 x^{8} + 826804 x^{6} - 76153 x^{4} + 3311 x^{2} - 43$ |
$42$ |
[42,0] |
$2^{42}\cdot 43^{41}$ |
$2$ |
$78.6332715905$ |
$78.63327159054276$ |
|
✓ |
✓ |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$41$ |
|
| 42.0.563...875.1 |
$x^{42} + 42 x^{40} + 819 x^{38} + 9842 x^{36} - 29 x^{35} + 81585 x^{34} - 1015 x^{33} + 494802 x^{32} - 16240 x^{31} + 2272424 x^{30} - 157325 x^{29} + 8070266 x^{28} - 1030225 x^{27} + 22451828 x^{26} - 4821453 x^{25} + 49380100 x^{24} - 16625700 x^{23} + 86841307 x^{22} - 42945897 x^{21} + 125155604 x^{20} - 83971762 x^{19} + 155582203 x^{18} - 126598108 x^{17} + 178243674 x^{16} - 155985200 x^{15} + 191428385 x^{14} - 177440270 x^{13} + 185472266 x^{12} - 199822441 x^{11} + 177861992 x^{10} - 194249279 x^{9} + 208189352 x^{8} - 152082148 x^{7} + 226081541 x^{6} - 195873685 x^{5} + 141819720 x^{4} - 297986948 x^{3} + 34945918 x^{2} - 144775946 x + 599786069$ |
$42$ |
[0,21] |
$-\,5^{21}\cdot 7^{77}$ |
$2$ |
$79.219374478$ |
$79.21937447802398$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.42.104...125.1 |
$x^{42} - x^{41} - 61 x^{40} + 56 x^{39} + 1654 x^{38} - 1379 x^{37} - 26380 x^{36} + 19735 x^{35} + 276302 x^{34} - 183047 x^{33} - 2012061 x^{32} + 1164081 x^{31} + 10536175 x^{30} - 5248100 x^{29} - 40536685 x^{28} + 17139885 x^{27} + 116229751 x^{26} - 41141876 x^{25} - 250648402 x^{24} + 73243022 x^{23} + 408521488 x^{22} - 97102633 x^{21} - 503598537 x^{20} + 95768202 x^{19} + 467783098 x^{18} - 69790048 x^{17} - 324502952 x^{16} + 37071837 x^{15} + 165565463 x^{14} - 14037193 x^{13} - 60679502 x^{12} + 3661307 x^{11} + 15419833 x^{10} - 625768 x^{9} - 2575782 x^{8} + 66132 x^{7} + 260062 x^{6} - 4477 x^{5} - 13750 x^{4} + 275 x^{3} + 286 x^{2} - 11 x - 1$ |
$42$ |
[42,0] |
$5^{21}\cdot 43^{40}$ |
$2$ |
$80.3839319221$ |
$80.38393192209213$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$41$ |
|
| 42.42.496...469.1 |
$x^{42} - x^{41} - 67 x^{40} + 62 x^{39} + 1993 x^{38} - 1704 x^{37} - 34847 x^{36} + 27519 x^{35} + 399768 x^{34} - 291838 x^{33} - 3181854 x^{32} + 2151119 x^{31} + 18125561 x^{30} - 11376768 x^{29} - 75199314 x^{28} + 43948028 x^{27} + 229267037 x^{26} - 125109956 x^{25} - 515411960 x^{24} + 263200585 x^{23} + 854114535 x^{22} - 408541162 x^{21} - 1040280967 x^{20} + 465602383 x^{19} + 926307827 x^{18} - 386475878 x^{17} - 597992464 x^{16} + 230741151 x^{15} + 276295754 x^{14} - 97190872 x^{13} - 89602671 x^{12} + 28039534 x^{11} + 19807180 x^{10} - 5297092 x^{9} - 2853616 x^{8} + 611802 x^{7} + 248962 x^{6} - 38836 x^{5} - 11508 x^{4} + 1155 x^{3} + 217 x^{2} - 14 x - 1$ |
$42$ |
[42,0] |
$7^{28}\cdot 29^{39}$ |
$2$ |
$83.4333518728$ |
$83.43335187281258$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
trivial |
$2$ |
$41$ |
$1205750664686969300000000000$ |
| 42.0.447...375.1 |
$x^{42} - x^{41} + 44 x^{40} - 44 x^{39} + 904 x^{38} - 904 x^{37} + 11525 x^{36} - 11525 x^{35} + 102212 x^{34} - 102212 x^{33} + 670199 x^{32} - 670199 x^{31} + 3371975 x^{30} - 3371975 x^{29} + 13342815 x^{28} - 13342815 x^{27} + 42258251 x^{26} - 42258251 x^{25} + 108593663 x^{24} - 108593663 x^{23} + 229203503 x^{22} - 229203503 x^{21} + 402580148 x^{20} - 402580148 x^{19} + 598327973 x^{18} - 598327973 x^{17} + 769983758 x^{16} - 769983758 x^{15} + 884984678 x^{14} - 884984678 x^{13} + 942485138 x^{12} - 942485138 x^{11} + 963249193 x^{10} - 963249193 x^{9} + 968416718 x^{8} - 968416718 x^{7} + 969243522 x^{6} - 969243522 x^{5} + 969319675 x^{4} - 969319675 x^{3} + 969322986 x^{2} - 969322986 x + 969323029$ |
$42$ |
[0,21] |
$-\,5^{21}\cdot 43^{41}$ |
$2$ |
$87.9146702848$ |
$87.9146702848283$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.0.167...503.1 |
$x^{42} - x^{41} + 13 x^{40} - 18 x^{39} + 139 x^{38} - 250 x^{37} + 1451 x^{36} + 321 x^{35} + 11819 x^{34} + 7069 x^{33} + 101147 x^{32} + 34723 x^{31} + 906407 x^{30} - 143662 x^{29} + 2718926 x^{28} - 434521 x^{27} + 7093735 x^{26} - 1731307 x^{25} + 17818760 x^{24} - 17036040 x^{23} + 50814721 x^{22} - 44435389 x^{21} + 124550915 x^{20} - 97201554 x^{19} + 258557330 x^{18} - 191477895 x^{17} + 222793332 x^{16} - 183429282 x^{15} + 205234539 x^{14} - 104619060 x^{13} + 150123312 x^{12} + 66144604 x^{11} + 21062459 x^{10} + 5929237 x^{9} + 1586736 x^{8} + 394344 x^{7} + 106707 x^{6} + 17635 x^{5} + 2858 x^{4} + 449 x^{3} + 67 x^{2} + 9 x + 1$ |
$42$ |
[0,21] |
$-\,7^{35}\cdot 29^{36}$ |
$2$ |
$90.7261255722$ |
$90.72612557219027$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$14$ |
$20$ |
|
| 42.0.506...267.1 |
$x^{42} - 16 x^{39} + 1066 x^{36} + 13384 x^{33} + 639480 x^{30} + 581064 x^{27} + 10535858 x^{24} - 25402305 x^{21} + 171805922 x^{18} - 184669454 x^{15} + 198189968 x^{12} + 3751640 x^{9} + 57337 x^{6} + 267 x^{3} + 1$ |
$42$ |
[0,21] |
$-\,3^{63}\cdot 29^{36}$ |
$2$ |
$93.1463583267$ |
$93.14635832670349$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$18$ |
$20$ |
|
| 42.0.121...007.1 |
$x^{42} - x^{41} + 62 x^{40} - 55 x^{39} + 1885 x^{38} - 1493 x^{37} + 36890 x^{36} - 26096 x^{35} + 516884 x^{34} - 325868 x^{33} + 5474760 x^{32} - 3063183 x^{31} + 45214327 x^{30} - 22319399 x^{29} + 296463014 x^{28} - 128129100 x^{27} + 1558565095 x^{26} - 584173775 x^{25} + 6595257074 x^{24} - 2118905803 x^{23} + 22443263173 x^{22} - 6093288301 x^{21} + 61089146298 x^{20} - 13772999112 x^{19} + 131703790552 x^{18} - 24134677936 x^{17} + 221581028128 x^{16} - 32118789120 x^{15} + 284876509184 x^{14} - 31567940608 x^{13} + 271846162432 x^{12} - 21964134400 x^{11} + 184905250816 x^{10} - 10296512512 x^{9} + 84546772992 x^{8} - 2848260096 x^{7} + 23814799360 x^{6} - 531300352 x^{5} + 3554017280 x^{4} + 28835840 x^{3} + 213385216 x^{2} - 11534336 x + 2097152$ |
$42$ |
[0,21] |
$-\,7^{21}\cdot 43^{40}$ |
$2$ |
$95.1115509061$ |
$95.11155090606901$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.0.155...608.1 |
$x^{42} + 84 x^{40} + 3276 x^{38} + 78736 x^{36} + 1305360 x^{34} + 15833664 x^{32} + 145435136 x^{30} + 1032886144 x^{28} + 5741625344 x^{26} + 25131545600 x^{24} + 86701812736 x^{22} + 234915702784 x^{20} + 495818960896 x^{18} + 804378279936 x^{16} + 983365402624 x^{14} + 880319397888 x^{12} + 553414557696 x^{10} + 229269569536 x^{8} + 56479711232 x^{6} + 6910640128 x^{4} + 308281344 x^{2} + 2097152$ |
$42$ |
[0,21] |
$-\,2^{63}\cdot 7^{76}$ |
$2$ |
$95.6687320996$ |
$95.66873209957993$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.42.155...608.1 |
$x^{42} - 84 x^{40} + 3276 x^{38} - 78736 x^{36} + 1305360 x^{34} - 15833664 x^{32} + 145435136 x^{30} - 1032886144 x^{28} + 5741625344 x^{26} - 25131545600 x^{24} + 86701812736 x^{22} - 234915702784 x^{20} + 495818960896 x^{18} - 804378279936 x^{16} + 983365402624 x^{14} - 880319397888 x^{12} + 553414557696 x^{10} - 229269569536 x^{8} + 56479711232 x^{6} - 6910640128 x^{4} + 308281344 x^{2} - 2097152$ |
$42$ |
[42,0] |
$2^{63}\cdot 7^{76}$ |
$2$ |
$95.6687320996$ |
$95.66873209957993$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
trivial |
$2$ |
$41$ |
$31575205777918616000000000000$ |
| 42.42.565...149.1 |
$x^{42} - 81 x^{40} - 4 x^{39} + 2925 x^{38} + 276 x^{37} - 62221 x^{36} - 8388 x^{35} + 868038 x^{34} + 148164 x^{33} - 8369604 x^{32} - 1690536 x^{31} + 57288192 x^{30} + 13101552 x^{29} - 281708427 x^{28} - 70649728 x^{27} + 997233012 x^{26} + 267447468 x^{25} - 2528669823 x^{24} - 709905600 x^{23} + 4548805662 x^{22} + 1311105276 x^{21} - 5738345406 x^{20} - 1666490856 x^{19} + 5023839240 x^{18} + 1442807064 x^{17} - 3028872840 x^{16} - 846440256 x^{15} + 1246931667 x^{14} + 334448784 x^{13} - 345422658 x^{12} - 87695253 x^{11} + 62698236 x^{10} + 14793089 x^{9} - 7127757 x^{8} - 1516980 x^{7} + 472108 x^{6} + 85806 x^{5} - 16338 x^{4} - 2275 x^{3} + 252 x^{2} + 21 x - 1$ |
$42$ |
[42,0] |
$3^{56}\cdot 29^{39}$ |
$2$ |
$98.6512678279$ |
$98.65126782789244$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
trivial |
$2$ |
$41$ |
$43619585644836630000000000000$ |
| 42.0.109...256.1 |
$x^{42} + 84 x^{40} + 3276 x^{38} + 78736 x^{36} + 1305360 x^{34} + 15833664 x^{32} + 145435136 x^{30} + 1032886400 x^{28} + 5741639680 x^{26} + 25131904000 x^{24} + 86707088384 x^{22} + 234966480896 x^{20} + 496154537984 x^{18} + 805934137344 x^{16} + 988445753344 x^{14} + 891877195776 x^{12} + 571258175488 x^{10} + 247113187328 x^{8} + 67166797824 x^{6} + 10250354688 x^{4} + 719323136 x^{2} + 14680064$ |
$42$ |
[0,21] |
$-\,2^{63}\cdot 7^{77}$ |
$2$ |
$100.205463266$ |
$100.20546326574731$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.42.109...256.1 |
$x^{42} - 84 x^{40} + 3276 x^{38} - 78736 x^{36} + 1305360 x^{34} - 15833664 x^{32} + 145435136 x^{30} - 1032886400 x^{28} + 5741639680 x^{26} - 25131904000 x^{24} + 86707088384 x^{22} - 234966480896 x^{20} + 496154537984 x^{18} - 805934137344 x^{16} + 988445753344 x^{14} - 891877195776 x^{12} + 571258175488 x^{10} - 247113187328 x^{8} + 67166797824 x^{6} - 10250354688 x^{4} + 719323136 x^{2} - 14680064$ |
$42$ |
[42,0] |
$2^{63}\cdot 7^{77}$ |
$2$ |
$100.205463266$ |
$100.20546326574731$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$41$ |
|
| 42.0.201...808.1 |
$x^{42} + 82 x^{40} + 3120 x^{38} + 73112 x^{36} + 1181040 x^{34} + 13948704 x^{32} + 124658688 x^{30} + 860738560 x^{28} + 4647988224 x^{26} + 19746355200 x^{24} + 66060533760 x^{22} + 173408901120 x^{20} + 354276249600 x^{18} + 555941191680 x^{16} + 657270374400 x^{14} + 569634324480 x^{12} + 348109864960 x^{10} + 141764198400 x^{8} + 35283533824 x^{6} + 4642570240 x^{4} + 242221056 x^{2} + 2097152$ |
$42$ |
[0,21] |
$-\,2^{63}\cdot 43^{40}$ |
$2$ |
$101.678524861$ |
$101.67852486149111$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.42.201...808.1 |
$x^{42} - 82 x^{40} + 3120 x^{38} - 73112 x^{36} + 1181040 x^{34} - 13948704 x^{32} + 124658688 x^{30} - 860738560 x^{28} + 4647988224 x^{26} - 19746355200 x^{24} + 66060533760 x^{22} - 173408901120 x^{20} + 354276249600 x^{18} - 555941191680 x^{16} + 657270374400 x^{14} - 569634324480 x^{12} + 348109864960 x^{10} - 141764198400 x^{8} + 35283533824 x^{6} - 4642570240 x^{4} + 242221056 x^{2} - 2097152$ |
$42$ |
[42,0] |
$2^{63}\cdot 43^{40}$ |
$2$ |
$101.678524861$ |
$101.67852486149111$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$41$ |
|
| 42.42.523...301.1 |
$x^{42} - x^{41} - 85 x^{40} + 85 x^{39} + 3355 x^{38} - 3355 x^{37} - 81613 x^{36} + 81613 x^{35} + 1369379 x^{34} - 1369379 x^{33} - 16806205 x^{32} + 16806205 x^{31} + 156107459 x^{30} - 156107459 x^{29} - 1120160061 x^{28} + 1120160061 x^{27} + 6282191555 x^{26} - 6282191555 x^{25} - 27681539389 x^{24} + 27681539389 x^{23} + 95822936771 x^{22} - 95822936771 x^{21} - 259252432189 x^{20} + 259252432189 x^{19} + 542530659011 x^{18} - 542530659011 x^{17} - 863673531709 x^{16} + 863673531709 x^{15} + 1020501541571 x^{14} - 1020501541571 x^{13} - 863673531709 x^{12} + 863673531709 x^{11} + 497119576771 x^{10} - 497119576771 x^{9} - 180198260029 x^{8} + 180198260029 x^{7} + 36543447747 x^{6} - 36543447747 x^{5} - 3382656317 x^{4} + 3382656317 x^{3} + 89178819 x^{2} - 89178819 x - 998717$ |
$42$ |
[42,0] |
$7^{21}\cdot 43^{41}$ |
$2$ |
$104.022040702$ |
$104.02204070198826$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$41$ |
|
| 42.0.865...744.1 |
$x^{42} + 86 x^{40} + 3440 x^{38} + 84968 x^{36} + 1450992 x^{34} + 18175584 x^{32} + 172913664 x^{30} + 1276267520 x^{28} + 7402351616 x^{26} + 33963730944 x^{24} + 123504476160 x^{22} + 355075368960 x^{20} + 801783091200 x^{18} + 1406204190720 x^{16} + 1884175073280 x^{14} + 1884175073280 x^{12} + 1360793108480 x^{10} + 677317836800 x^{8} + 216741707776 x^{6} + 39926104064 x^{4} + 3471835136 x^{2} + 90177536$ |
$42$ |
[0,21] |
$-\,2^{63}\cdot 43^{41}$ |
$2$ |
$111.204239137$ |
$111.20423913711257$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.42.865...744.1 |
$x^{42} - 86 x^{40} + 3440 x^{38} - 84968 x^{36} + 1450992 x^{34} - 18175584 x^{32} + 172913664 x^{30} - 1276267520 x^{28} + 7402351616 x^{26} - 33963730944 x^{24} + 123504476160 x^{22} - 355075368960 x^{20} + 801783091200 x^{18} - 1406204190720 x^{16} + 1884175073280 x^{14} - 1884175073280 x^{12} + 1360793108480 x^{10} - 677317836800 x^{8} + 216741707776 x^{6} - 39926104064 x^{4} + 3471835136 x^{2} - 90177536$ |
$42$ |
[42,0] |
$2^{63}\cdot 43^{41}$ |
$2$ |
$111.204239137$ |
$111.20423913711257$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$41$ |
|
| 42.0.124...811.1 |
$x^{42} - 21 x^{41} + 231 x^{40} - 1750 x^{39} + 10395 x^{38} - 52269 x^{37} + 233611 x^{36} - 952918 x^{35} + 3599785 x^{34} - 12710201 x^{33} + 42287014 x^{32} - 133370664 x^{31} + 400618099 x^{30} - 1149584975 x^{29} + 3160451592 x^{28} - 8341179427 x^{27} + 21174580693 x^{26} - 51755274760 x^{25} + 121953514697 x^{24} - 277155797093 x^{23} + 608007380806 x^{22} - 1287295716241 x^{21} + 2631847521996 x^{20} - 5192066875520 x^{19} + 9886990587068 x^{18} - 18146977046303 x^{17} + 32112635555588 x^{16} - 54655115299659 x^{15} + 89504829240548 x^{14} - 140479267770793 x^{13} + 211514505374151 x^{12} - 303526580264439 x^{11} + 416119886096880 x^{10} - 538840804150264 x^{9} + 662937764461147 x^{8} - 758558920220686 x^{7} + 819087800747125 x^{6} - 798550011094073 x^{5} + 729734808064227 x^{4} - 562691756062212 x^{3} + 407486767661645 x^{2} - 201294019183845 x + 99519182315771$ |
$42$ |
[0,21] |
$-\,7^{76}\cdot 11^{21}$ |
$2$ |
$112.181532191$ |
$112.18153219054884$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.0.180...927.1 |
$x^{42} - x^{41} + 2 x^{40} + 80 x^{39} - 73 x^{38} + 139 x^{37} + 2635 x^{36} - 2181 x^{35} + 3934 x^{34} + 46702 x^{33} - 34779 x^{32} + 59013 x^{31} + 489577 x^{30} - 325107 x^{29} + 514966 x^{28} + 3148122 x^{27} - 1839378 x^{26} + 2684924 x^{25} + 12529404 x^{24} - 6257436 x^{23} + 8056643 x^{22} + 30745048 x^{21} - 12383236 x^{20} + 11933159 x^{19} + 46384476 x^{18} - 13840937 x^{17} + 3649186 x^{16} + 41025120 x^{15} - 8138959 x^{14} - 9679906 x^{13} + 28379769 x^{12} - 8357477 x^{11} + 3513515 x^{10} + 45545418 x^{9} - 12952087 x^{8} + 8843411 x^{7} + 29858262 x^{6} - 8807791 x^{5} + 14296232 x^{4} - 4154414 x^{3} - 181830 x^{2} + 2389098 x + 733913$ |
$42$ |
[0,21] |
$-\,127^{41}$ |
$1$ |
$113.165267975$ |
$113.16526797549884$ |
✓ |
✓ |
|
$C_{42}$ (as 42T1) |
$[1528865]$ |
$2$ |
$20$ |
$418513668789608050000$ |
| 42.0.213...363.1 |
$x^{42} - 4 x^{41} + 62 x^{40} - 200 x^{39} + 2132 x^{38} - 6208 x^{37} + 46584 x^{36} - 115568 x^{35} + 701352 x^{34} - 1537594 x^{33} + 7769821 x^{32} - 14875116 x^{31} + 64656220 x^{30} - 109927490 x^{29} + 414171141 x^{28} - 618138014 x^{27} + 2041345075 x^{26} - 2683015728 x^{25} + 7816607585 x^{24} - 8902561137 x^{23} + 22976431713 x^{22} - 22760113866 x^{21} + 52536783259 x^{20} - 45434427911 x^{19} + 92226880868 x^{18} - 71336683352 x^{17} + 125874997329 x^{16} - 89801104142 x^{15} + 131144820279 x^{14} - 89289000509 x^{13} + 106600416700 x^{12} - 67935846970 x^{11} + 65774842016 x^{10} - 38731708226 x^{9} + 30551737937 x^{8} - 15767508635 x^{7} + 9878705051 x^{6} - 4297296085 x^{5} + 2147704850 x^{4} - 731044046 x^{3} + 251922248 x^{2} - 47762400 x + 8082649$ |
$42$ |
[0,21] |
$-\,3^{21}\cdot 7^{28}\cdot 29^{36}$ |
$3$ |
$113.617000298$ |
$113.61700029758396$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$6$ |
$20$ |
|
| 42.0.409...667.1 |
$x^{42} - x^{41} + 20 x^{40} - 25 x^{39} - 8 x^{38} - 138 x^{37} - 2077 x^{36} + 839 x^{35} - 7305 x^{34} + 8805 x^{33} + 67596 x^{32} - 12107 x^{31} + 444232 x^{30} - 141646 x^{29} + 238560 x^{28} + 2150502 x^{27} - 3285732 x^{26} + 14361861 x^{25} - 708679 x^{24} + 4004385 x^{23} + 63920534 x^{22} - 73366557 x^{21} + 232544983 x^{20} + 114300646 x^{19} + 134380032 x^{18} + 644451241 x^{17} - 110366019 x^{16} + 50739485 x^{15} + 3000292231 x^{14} - 3874326960 x^{13} + 7531027885 x^{12} - 11845394651 x^{11} + 8115584321 x^{10} - 10398559445 x^{9} + 11442787794 x^{8} - 3901741530 x^{7} + 3575301015 x^{6} - 3614499453 x^{5} - 715331685 x^{4} + 331663193 x^{3} + 2507361126 x^{2} - 1452650295 x + 649728353$ |
$42$ |
[0,21] |
$-\,7^{35}\cdot 29^{39}$ |
$2$ |
$115.395630586$ |
$115.39563058619058$ |
✓ |
✓ |
|
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.42.776...312.1 |
$x^{42} - 105 x^{40} + 4977 x^{38} - 140819 x^{36} - 2 x^{35} + 2650095 x^{34} + 28 x^{33} - 34991649 x^{32} + 3416 x^{31} + 333300632 x^{30} - 147910 x^{29} - 2319579309 x^{28} + 2698850 x^{27} + 11820066804 x^{26} - 26976474 x^{25} - 43812582639 x^{24} + 153194076 x^{23} + 116368453593 x^{22} - 445815310 x^{21} - 216225058245 x^{20} + 272316800 x^{19} + 271556250546 x^{18} + 1986860386 x^{17} - 220004406804 x^{16} - 5445985720 x^{15} + 108239023559 x^{14} + 5365080098 x^{13} - 29954210552 x^{12} - 2176838734 x^{11} + 4303639312 x^{10} + 340937478 x^{9} - 323375283 x^{8} - 25471098 x^{7} + 12576760 x^{6} + 955878 x^{5} - 232127 x^{4} - 16898 x^{3} + 1505 x^{2} + 112 x + 1$ |
$42$ |
[42,0] |
$2^{42}\cdot 3^{21}\cdot 7^{76}$ |
$3$ |
$117.169788991$ |
$117.16978899149642$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$41$ |
|
| 42.42.874...677.1 |
$x^{42} - 126 x^{40} + 7371 x^{38} - 265734 x^{36} - 83 x^{35} + 6608385 x^{34} + 8715 x^{33} - 120236886 x^{32} - 418320 x^{31} + 1656597096 x^{30} + 12157425 x^{29} - 17647825586 x^{28} - 238834575 x^{27} + 147151366404 x^{26} + 3353237433 x^{25} - 966133116900 x^{24} - 34688663100 x^{23} + 4999488494931 x^{22} + 268659947305 x^{21} - 20317109311296 x^{20} - 1567171092690 x^{19} + 64305659489211 x^{18} + 6871145069880 x^{17} - 156373597496214 x^{16} - 22423210892208 x^{15} + 286220369519701 x^{14} + 53473028777910 x^{13} - 382576512454206 x^{12} - 90465142642875 x^{11} + 356767740698292 x^{10} + 103652112041415 x^{9} - 215794576784304 x^{8} - 74585905238228 x^{7} + 74443140953685 x^{6} + 29468446974645 x^{5} - 11170399688028 x^{4} - 4811855646528 x^{3} + 319923920106 x^{2} + 140495689782 x - 11523307067$ |
$42$ |
[42,0] |
$7^{77}\cdot 11^{21}$ |
$2$ |
$117.501321031$ |
$117.50132103051723$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$41$ |
|
| 42.0.123...863.1 |
$x^{42} + 6 x^{40} - 4 x^{39} - 207 x^{38} - 72 x^{37} - 857 x^{36} + 225 x^{35} + 13524 x^{34} + 4498 x^{33} + 47646 x^{32} - 1779 x^{31} - 319728 x^{30} + 56511 x^{29} - 873558 x^{28} + 1268358 x^{27} + 3182931 x^{26} - 287550 x^{25} + 12585242 x^{24} - 25238916 x^{23} + 37767705 x^{22} + 35532417 x^{21} + 14671665 x^{20} + 387146580 x^{19} - 33604015 x^{18} + 83426931 x^{17} + 893018691 x^{16} - 978644267 x^{15} + 2536898589 x^{14} + 320653281 x^{13} + 1627927205 x^{12} + 1198131426 x^{11} - 1595121042 x^{10} - 2227675498 x^{9} - 1701355491 x^{8} - 2415610293 x^{7} - 905477771 x^{6} + 53305794 x^{5} + 1490523864 x^{4} + 2070850257 x^{3} + 1799361396 x^{2} + 662562267 x + 198529417$ |
$42$ |
[0,21] |
$-\,3^{63}\cdot 29^{39}$ |
$2$ |
$118.473953209$ |
$118.47395320948151$ |
✓ |
✓ |
|
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.0.161...211.1 |
$x^{42} - 19 x^{41} + 193 x^{40} - 1368 x^{39} + 7730 x^{38} - 37504 x^{37} + 163424 x^{36} - 653089 x^{35} + 2424227 x^{34} - 8429227 x^{33} + 27684879 x^{32} - 86328882 x^{31} + 256735509 x^{30} - 730024655 x^{29} + 1991090346 x^{28} - 5216701163 x^{27} + 13158377790 x^{26} - 31970357867 x^{25} + 74948907297 x^{24} - 169511696295 x^{23} + 370383530887 x^{22} - 781186383780 x^{21} + 1592472532020 x^{20} - 3132457376500 x^{19} + 5954059663605 x^{18} - 10905928130092 x^{17} + 19286342092183 x^{16} - 32785066852903 x^{15} + 53727191837034 x^{14} - 84287557742257 x^{13} + 127210697307990 x^{12} - 182579457912758 x^{11} + 251464793643596 x^{10} - 325756069207898 x^{9} + 403964380869043 x^{8} - 462110196994188 x^{7} + 505689982566923 x^{6} - 491465579236069 x^{5} + 459935510967285 x^{4} - 350571727520514 x^{3} + 266244504765895 x^{2} - 126760076648507 x + 70799148954451$ |
$42$ |
[0,21] |
$-\,11^{21}\cdot 43^{40}$ |
$2$ |
$119.228638861$ |
$119.22863886148409$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.0.233...507.1 |
$x^{42} - 11 x^{41} + 31 x^{40} + 15 x^{39} + 149 x^{38} - 2171 x^{37} + 5622 x^{36} - 5813 x^{35} + 17703 x^{34} - 77949 x^{33} + 215171 x^{32} - 500434 x^{31} + 1078714 x^{30} - 3010069 x^{29} + 7913255 x^{28} - 11776682 x^{27} + 16679313 x^{26} - 87643658 x^{25} + 355007978 x^{24} - 761687128 x^{23} + 908129906 x^{22} - 907038305 x^{21} + 2012009714 x^{20} - 6104907919 x^{19} + 18723809190 x^{18} - 48743446573 x^{17} + 87856746678 x^{16} - 105007899193 x^{15} + 97597592982 x^{14} - 99989052476 x^{13} + 101465465536 x^{12} - 67260548547 x^{11} + 47339909902 x^{10} - 82545626769 x^{9} + 101683114718 x^{8} - 83757841269 x^{7} + 103258810875 x^{6} - 130872100909 x^{5} + 93586325459 x^{4} - 47886183228 x^{3} + 41077962943 x^{2} - 30874848118 x + 9042834947$ |
$42$ |
[0,21] |
$-\,7^{28}\cdot 43^{39}$ |
$2$ |
$120.279283032$ |
$120.2792830317974$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.42.417...213.1 |
$x^{42} - 21 x^{41} + 105 x^{40} + 770 x^{39} - 9009 x^{38} + 5187 x^{37} + 254149 x^{36} - 791134 x^{35} - 3334247 x^{34} + 19856851 x^{33} + 13045312 x^{32} - 261354408 x^{31} + 231843787 x^{30} + 2042768665 x^{29} - 4208011542 x^{28} - 9037807639 x^{27} + 33611110351 x^{26} + 12904472672 x^{25} - 157535761243 x^{24} + 88019217895 x^{23} + 437480825068 x^{22} - 592836108289 x^{21} - 597443992782 x^{20} + 1660442050960 x^{19} - 132193712896 x^{18} - 2395824125555 x^{17} + 1766745896426 x^{16} + 1428980287161 x^{15} - 2482337719498 x^{14} + 416236096703 x^{13} + 1308924507093 x^{12} - 936798902235 x^{11} - 55503444234 x^{10} + 344124348848 x^{9} - 146118974645 x^{8} - 8734240174 x^{7} + 27087324985 x^{6} - 8819391245 x^{5} + 506091453 x^{4} + 387995328 x^{3} - 112598479 x^{2} + 12764115 x - 543607$ |
$42$ |
[42,0] |
$7^{76}\cdot 13^{21}$ |
$2$ |
$121.954182954$ |
$121.95418295410963$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$41$ |
|
| 42.0.543...184.1 |
$x^{42} + 126 x^{40} + 7371 x^{38} + 265734 x^{36} + 6608385 x^{34} + 120236886 x^{32} + 1656597096 x^{30} + 17647832475 x^{28} + 147151945080 x^{26} + 966154817250 x^{24} + 4999967638659 x^{22} + 20324026948869 x^{20} + 64374234331239 x^{18} + 156850504352136 x^{16} + 288556237574829 x^{14} + 390547575000324 x^{12} + 375225697314468 x^{10} + 243471048667812 x^{8} + 99265265112069 x^{6} + 22723373941317 x^{4} + 2391934099086 x^{2} + 73222472421$ |
$42$ |
[0,21] |
$-\,2^{42}\cdot 3^{21}\cdot 7^{77}$ |
$3$ |
$122.72612722$ |
$122.72612722014229$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.42.100...112.1 |
$x^{42} - 2 x^{41} - 102 x^{40} + 198 x^{39} + 4694 x^{38} - 8818 x^{37} - 128873 x^{36} + 233500 x^{35} + 2352118 x^{34} - 4094384 x^{33} - 30105551 x^{32} + 50119894 x^{31} + 277850356 x^{30} - 440049902 x^{29} - 1872876276 x^{28} + 2804213262 x^{27} + 9240612278 x^{26} - 12983673562 x^{25} - 33153371104 x^{24} + 43330843250 x^{23} + 85202060216 x^{22} - 102505559026 x^{21} - 153076609027 x^{20} + 167443491200 x^{19} + 185581713515 x^{18} - 181959180670 x^{17} - 144505967659 x^{16} + 125070475268 x^{15} + 67588515668 x^{14} - 50958308620 x^{13} - 17427236674 x^{12} + 11418862976 x^{11} + 2263842238 x^{10} - 1321132268 x^{9} - 142084194 x^{8} + 77137968 x^{7} + 4203076 x^{6} - 2175416 x^{5} - 52539 x^{4} + 25998 x^{3} + 113 x^{2} - 88 x + 1$ |
$42$ |
[42,0] |
$2^{42}\cdot 3^{21}\cdot 43^{40}$ |
$3$ |
$124.530251855$ |
$124.53025185477343$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$41$ |
|
| 42.42.167...149.1 |
$x^{42} - 11 x^{41} - 42 x^{40} + 817 x^{39} + 48 x^{38} - 27344 x^{37} + 33459 x^{36} + 545538 x^{35} - 1033317 x^{34} - 7227494 x^{33} + 16869732 x^{32} + 66963178 x^{31} - 179815522 x^{30} - 444181623 x^{29} + 1347796144 x^{28} + 2115174860 x^{27} - 7353114607 x^{26} - 7074099484 x^{25} + 29667112443 x^{24} + 15413835995 x^{23} - 88874277035 x^{22} - 15842255719 x^{21} + 196509341707 x^{20} - 19239281180 x^{19} - 315397570060 x^{18} + 105231273490 x^{17} + 356140677145 x^{16} - 196924452375 x^{15} - 267201269148 x^{14} + 212535946309 x^{13} + 117787901857 x^{12} - 139473915065 x^{11} - 19125495852 x^{10} + 53466062414 x^{9} - 5965591823 x^{8} - 10643885842 x^{7} + 3006481030 x^{6} + 814683575 x^{5} - 388414655 x^{4} + 3720322 x^{3} + 12164204 x^{2} - 571960 x - 107879$ |
$42$ |
[42,0] |
$13^{28}\cdot 29^{39}$ |
$2$ |
$126.057851136$ |
$126.05785113600619$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
trivial |
$2$ |
$41$ |
$6982810145166159000000000000000$ |
| 42.0.241...543.1 |
$x^{42} - x^{41} + 19 x^{40} - 2 x^{39} + 271 x^{38} + 292 x^{37} + 3891 x^{36} - 16879 x^{35} + 86865 x^{34} - 292837 x^{33} + 1085421 x^{32} - 3068239 x^{31} + 10798139 x^{30} - 25634048 x^{29} + 65358420 x^{28} - 138820877 x^{27} + 304901371 x^{26} - 590381787 x^{25} + 1176266118 x^{24} - 1945125506 x^{23} + 3592094903 x^{22} - 5645653463 x^{21} + 9989029801 x^{20} - 15231537886 x^{19} + 26067079020 x^{18} - 38408837927 x^{17} + 61621447876 x^{16} - 85161200010 x^{15} + 128805983063 x^{14} - 160314058986 x^{13} + 222268969336 x^{12} - 226068865134 x^{11} + 264672499763 x^{10} - 242806796505 x^{9} + 246402130394 x^{8} - 144933685484 x^{7} + 124269462177 x^{6} + 65378608141 x^{5} + 57336710746 x^{4} + 19167963325 x^{3} + 29659901145 x^{2} + 1977326743 x + 13841287201$ |
$42$ |
[0,21] |
$-\,7^{35}\cdot 43^{36}$ |
$2$ |
$127.164001571$ |
$127.16400157052036$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$14$ |
$20$ |
|
| 42.0.291...491.1 |
$x^{42} + 126 x^{40} + 7371 x^{38} + 265734 x^{36} - 337 x^{35} + 6608385 x^{34} - 35385 x^{33} + 120236886 x^{32} - 1698480 x^{31} + 1656597096 x^{30} - 49362075 x^{29} + 17647946044 x^{28} - 969725925 x^{27} + 147161484876 x^{26} - 13614951987 x^{25} + 966512559600 x^{24} - 140844330900 x^{23} + 5007866589747 x^{22} - 1090864717741 x^{21} + 20438068055202 x^{20} - 6365649711708 x^{19} + 65504728776627 x^{18} - 27967555663866 x^{17} + 164712579358698 x^{16} - 92087076475296 x^{15} + 327078003099919 x^{14} - 226780519461930 x^{13} + 522529550813886 x^{12} - 423863032664799 x^{11} + 688995831550950 x^{10} - 628212651886323 x^{9} + 777300365125620 x^{8} - 764561060990476 x^{7} + 834254335608561 x^{6} - 771769032155877 x^{5} + 864745657173342 x^{4} - 917560666081710 x^{3} + 525223978833708 x^{2} - 936510480777564 x + 1669935825763633$ |
$42$ |
[0,21] |
$-\,7^{77}\cdot 13^{21}$ |
$2$ |
$127.73740314$ |
$127.73740314016263$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.42.538...413.1 |
$x^{42} - 19 x^{41} + 67 x^{40} + 912 x^{39} - 7330 x^{38} - 9004 x^{37} + 242768 x^{36} - 354937 x^{35} - 4111051 x^{34} + 13158257 x^{33} + 37396197 x^{32} - 210312450 x^{31} - 118867851 x^{30} + 2001195013 x^{29} - 1223049156 x^{28} - 12031497467 x^{27} + 18144473160 x^{26} + 43891669705 x^{25} - 114224542965 x^{24} - 73238296287 x^{23} + 422057640901 x^{22} - 103722614436 x^{21} - 932184067908 x^{20} + 846517600196 x^{19} + 1066146428349 x^{18} - 1945232843680 x^{17} - 118443932597 x^{16} + 2136571761785 x^{15} - 1169869610784 x^{14} - 902235266041 x^{13} + 1219560360804 x^{12} - 208132634006 x^{11} - 383301896284 x^{10} + 253863699706 x^{9} - 20445279017 x^{8} - 39826718532 x^{7} + 18233137259 x^{6} - 2197742173 x^{5} - 610194213 x^{4} + 244358694 x^{3} - 30584885 x^{2} + 1039861 x + 44461$ |
$42$ |
[42,0] |
$13^{21}\cdot 43^{40}$ |
$2$ |
$129.615195596$ |
$129.6151955955181$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$41$ |
|
| 42.42.694...073.1 |
$x^{42} - x^{41} - 128 x^{40} + 128 x^{39} + 7612 x^{38} - 7612 x^{37} - 279155 x^{36} + 279155 x^{35} + 7066492 x^{34} - 7066492 x^{33} - 130954349 x^{32} + 130954349 x^{31} + 1838640355 x^{30} - 1838640355 x^{29} - 19967586725 x^{28} + 19967586725 x^{27} + 169746588871 x^{26} - 169746588871 x^{25} - 1135933325525 x^{24} + 1135933325525 x^{23} + 5985957116635 x^{22} - 5985957116635 x^{21} - 24727195415180 x^{20} + 24727195415180 x^{19} + 79301224450645 x^{18} - 79301224450645 x^{17} - 194373541657910 x^{16} + 194373541657910 x^{15} + 355672293673570 x^{14} - 355672293673570 x^{13} - 469396459323650 x^{12} + 469396459323650 x^{11} + 424428023090005 x^{10} - 424428023090005 x^{9} - 242906997716570 x^{8} + 242906997716570 x^{7} + 77413812270586 x^{6} - 77413812270586 x^{5} - 11095885225865 x^{4} + 11095885225865 x^{3} + 448857925846 x^{2} - 448857925846 x - 937261883$ |
$42$ |
[42,0] |
$11^{21}\cdot 43^{41}$ |
$2$ |
$130.398528952$ |
$130.39852895197154$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$41$ |
|
| 42.0.730...827.1 |
$x^{42} - 50 x^{39} + 4672 x^{36} + 136792 x^{33} + 3992238 x^{30} + 32949172 x^{27} + 257988274 x^{24} + 899104925 x^{21} + 5181127332 x^{18} + 16711764404 x^{15} + 67829457438 x^{12} + 110795591088 x^{9} + 177930112269 x^{6} - 44832857377 x^{3} + 13841287201$ |
$42$ |
[0,21] |
$-\,3^{63}\cdot 43^{36}$ |
$2$ |
$130.556260193$ |
$130.5562601934355$ |
✓ |
✓ |
|
$C_{42}$ (as 42T1) |
$[52315739]$ |
$18$ |
$20$ |
$545753294074079900000$ |
| 42.0.842...375.1 |
$x^{42} - 21 x^{41} + 252 x^{40} - 2170 x^{39} + 15099 x^{38} - 89775 x^{37} + 474110 x^{36} - 2270248 x^{35} + 10017910 x^{34} - 41126344 x^{33} + 158466091 x^{32} - 576096696 x^{31} + 1986712735 x^{30} - 6518398635 x^{29} + 20420491105 x^{28} - 61182615781 x^{27} + 175759765881 x^{26} - 484464806133 x^{25} + 1283701680345 x^{24} - 3269908010985 x^{23} + 8018737809327 x^{22} - 18918812870333 x^{21} + 42996057879012 x^{20} - 93996191647169 x^{19} + 197898468994436 x^{18} - 400335271581469 x^{17} + 779158657210402 x^{16} - 1453722846905189 x^{15} + 2604826255482696 x^{14} - 4457321832534746 x^{13} + 7305389298198530 x^{12} - 11365090054919965 x^{11} + 16872229967198732 x^{10} - 23542726642699425 x^{9} + 31199498713039741 x^{8} - 38209725180477853 x^{7} + 44201407806971583 x^{6} - 45753860588601683 x^{5} + 44552632717949909 x^{4} - 36097133961134344 x^{3} + 27718191551848000 x^{2} - 14150805399115371 x + 7433430306500659$ |
$42$ |
[0,21] |
$-\,3^{21}\cdot 5^{21}\cdot 7^{76}$ |
$3$ |
$130.999806547$ |
$130.99980654714625$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.0.896...984.1 |
$x^{42} + 108 x^{40} + 5156 x^{38} + 144488 x^{36} + 2662832 x^{34} + 34265834 x^{32} + 318981566 x^{30} + 2195598458 x^{28} + 11324272470 x^{26} + 44091529459 x^{24} + 129986543401 x^{22} + 290044496138 x^{20} + 488271862609 x^{18} + 616608189604 x^{16} + 579268843957 x^{14} + 400104193619 x^{12} + 199814257891 x^{10} + 70396440790 x^{8} + 16842157767 x^{6} + 2568252188 x^{4} + 221604496 x^{2} + 8082649$ |
$42$ |
[0,21] |
$-\,2^{42}\cdot 7^{28}\cdot 29^{36}$ |
$3$ |
$131.193611413$ |
$131.19361141265577$ |
✓ |
✓ |
|
$C_{42}$ (as 42T1) |
not computed |
$4$ |
$20$ |
|
| 42.0.431...816.1 |
$x^{42} + 129 x^{40} + 7740 x^{38} + 286767 x^{36} + 7345647 x^{34} + 138020841 x^{32} + 1969594704 x^{30} + 21806227080 x^{28} + 189714175596 x^{26} + 1305679914396 x^{24} + 7121890442160 x^{22} + 30713152531815 x^{20} + 104028419865825 x^{18} + 273674766108555 x^{16} + 550045835331480 x^{14} + 825068752997220 x^{12} + 893824482413655 x^{10} + 667335020806575 x^{8} + 320320809987156 x^{6} + 88509697496451 x^{4} + 11544743151711 x^{2} + 449795187729$ |
$42$ |
[0,21] |
$-\,2^{42}\cdot 3^{21}\cdot 43^{41}$ |
$3$ |
$136.19682156$ |
$136.19682156018243$ |
✓ |
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$20$ |
|
| 42.42.589...625.1 |
$x^{42} - 168 x^{40} + 13104 x^{38} - 629888 x^{36} - 251 x^{35} + 20885760 x^{34} + 35140 x^{33} - 506677248 x^{32} - 2248960 x^{31} + 9307848704 x^{30} + 87147200 x^{29} - 132209396199 x^{28} - 2282694400 x^{27} + 1469852701968 x^{26} + 42732039168 x^{25} - 12867182042400 x^{24} - 589407436800 x^{23} + 88777671908352 x^{22} + 6086526350717 x^{21} - 481011410885376 x^{20} - 47339070983428 x^{19} + 2029606276067328 x^{18} + 276732270859408 x^{17} - 6577707309981696 x^{16} - 1203976359523840 x^{15} + 16034662507433585 x^{14} + 3826593592478720 x^{13} - 28496927986493624 x^{12} - 8619792825140224 x^{11} + 35190719180799952 x^{10} + 13111961919565824 x^{9} - 27904683042811008 x^{8} - 12417833356110027 x^{7} + 12286663813613056 x^{6} + 6282934993253940 x^{5} - 2182766657146880 x^{4} - 1194722835542432 x^{3} + 100705981042688 x^{2} + 56422324200256 x + 825289096969$ |
$42$ |
[42,0] |
$3^{21}\cdot 5^{21}\cdot 7^{77}$ |
$3$ |
$137.21198154$ |
$137.21198153976272$ |
|
✓ |
? |
$C_{42}$ (as 42T1) |
not computed |
$2$ |
$41$ |
|
