Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [36,5,Mod(7,36)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(36, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("36.7");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 36 = 2^{2} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 36.f (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.72131867102\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 31.2 | ||
Character | \(\chi\) | \(=\) | 36.31 |
Dual form | 36.5.f.a.7.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).
\(n\) | \(19\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.93519 | + | 0.717143i | −0.983797 | + | 0.179286i | ||||
\(3\) | 2.22096 | + | 8.72166i | 0.246773 | + | 0.969073i | ||||
\(4\) | 14.9714 | − | 5.64418i | 0.935713 | − | 0.352761i | ||||
\(5\) | −5.51579 | + | 9.55363i | −0.220632 | + | 0.382145i | −0.955000 | − | 0.296606i | \(-0.904145\pi\) |
0.734368 | + | 0.678751i | \(0.237479\pi\) | |||||||
\(6\) | −14.9946 | − | 32.7286i | −0.416516 | − | 0.909129i | ||||
\(7\) | −10.3188 | + | 5.95759i | −0.210589 | + | 0.121583i | −0.601585 | − | 0.798809i | \(-0.705464\pi\) |
0.390996 | + | 0.920392i | \(0.372131\pi\) | |||||||
\(8\) | −54.8676 | + | 32.9476i | −0.857307 | + | 0.514806i | ||||
\(9\) | −71.1347 | + | 38.7409i | −0.878206 | + | 0.478282i | ||||
\(10\) | 14.8544 | − | 41.5509i | 0.148544 | − | 0.415509i | ||||
\(11\) | −189.995 | + | 109.694i | −1.57021 | + | 0.906559i | −0.574063 | + | 0.818811i | \(0.694633\pi\) |
−0.996143 | + | 0.0877473i | \(0.972033\pi\) | |||||||
\(12\) | 82.4775 | + | 118.040i | 0.572760 | + | 0.819723i | ||||
\(13\) | 18.5350 | − | 32.1036i | 0.109675 | − | 0.189962i | −0.805964 | − | 0.591965i | \(-0.798352\pi\) |
0.915639 | + | 0.402003i | \(0.131686\pi\) | |||||||
\(14\) | 36.3341 | − | 30.8443i | 0.185378 | − | 0.157369i | ||||
\(15\) | −95.5738 | − | 26.8886i | −0.424773 | − | 0.119505i | ||||
\(16\) | 192.286 | − | 169.003i | 0.751119 | − | 0.660167i | ||||
\(17\) | 284.021 | 0.982771 | 0.491386 | − | 0.870942i | \(-0.336491\pi\) | ||||
0.491386 | + | 0.870942i | \(0.336491\pi\) | |||||||
\(18\) | 252.146 | − | 203.466i | 0.778227 | − | 0.627982i | ||||
\(19\) | 45.4901i | 0.126011i | 0.998013 | + | 0.0630057i | \(0.0200686\pi\) | ||||
−0.998013 | + | 0.0630057i | \(0.979931\pi\) | |||||||
\(20\) | −28.6568 | + | 174.163i | −0.0716419 | + | 0.435409i | ||||
\(21\) | −74.8777 | − | 76.7659i | −0.169791 | − | 0.174072i | ||||
\(22\) | 669.000 | − | 567.918i | 1.38223 | − | 1.17338i | ||||
\(23\) | −174.319 | − | 100.643i | −0.329525 | − | 0.190252i | 0.326105 | − | 0.945334i | \(-0.394264\pi\) |
−0.655630 | + | 0.755082i | \(0.727597\pi\) | |||||||
\(24\) | −409.216 | − | 405.362i | −0.710445 | − | 0.703753i | ||||
\(25\) | 251.652 | + | 435.874i | 0.402643 | + | 0.697399i | ||||
\(26\) | −49.9160 | + | 139.626i | −0.0738402 | + | 0.206547i | ||||
\(27\) | −495.872 | − | 534.371i | −0.680208 | − | 0.733019i | ||||
\(28\) | −120.862 | + | 147.435i | −0.154161 | + | 0.188055i | ||||
\(29\) | 614.153 | + | 1063.74i | 0.730265 | + | 1.26486i | 0.956770 | + | 0.290846i | \(0.0939366\pi\) |
−0.226505 | + | 0.974010i | \(0.572730\pi\) | |||||||
\(30\) | 395.384 | + | 37.2718i | 0.439316 | + | 0.0414131i | ||||
\(31\) | 1311.83 | + | 757.384i | 1.36507 | + | 0.788121i | 0.990293 | − | 0.138996i | \(-0.0443875\pi\) |
0.374773 | + | 0.927117i | \(0.377721\pi\) | |||||||
\(32\) | −635.484 | + | 802.954i | −0.620590 | + | 0.784135i | ||||
\(33\) | −1378.68 | − | 1413.45i | −1.26601 | − | 1.29793i | ||||
\(34\) | −1117.68 | + | 203.683i | −0.966847 | + | 0.176197i | ||||
\(35\) | − | 131.443i | − | 0.107301i | ||||||
\(36\) | −846.326 | + | 981.503i | −0.653030 | + | 0.757332i | ||||
\(37\) | −1521.29 | −1.11124 | −0.555622 | − | 0.831435i | \(-0.687520\pi\) | ||||
−0.555622 | + | 0.831435i | \(0.687520\pi\) | |||||||
\(38\) | −32.6229 | − | 179.012i | −0.0225920 | − | 0.123970i | ||||
\(39\) | 321.162 | + | 90.3555i | 0.211152 | + | 0.0594053i | ||||
\(40\) | −12.1303 | − | 705.917i | −0.00758145 | − | 0.441198i | ||||
\(41\) | 1316.97 | − | 2281.07i | 0.783447 | − | 1.35697i | −0.146476 | − | 0.989214i | \(-0.546793\pi\) |
0.929923 | − | 0.367755i | \(-0.119874\pi\) | |||||||
\(42\) | 349.710 | + | 248.390i | 0.198248 | + | 0.140811i | ||||
\(43\) | 34.6057 | − | 19.9796i | 0.0187159 | − | 0.0108056i | −0.490613 | − | 0.871378i | \(-0.663227\pi\) |
0.509329 | + | 0.860572i | \(0.329894\pi\) | |||||||
\(44\) | −2225.36 | + | 2714.63i | −1.14946 | + | 1.40219i | ||||
\(45\) | 22.2482 | − | 893.281i | 0.0109868 | − | 0.441126i | ||||
\(46\) | 758.153 | + | 271.038i | 0.358295 | + | 0.128090i | ||||
\(47\) | 2498.36 | − | 1442.43i | 1.13099 | − | 0.652978i | 0.186807 | − | 0.982397i | \(-0.440186\pi\) |
0.944184 | + | 0.329419i | \(0.106853\pi\) | |||||||
\(48\) | 1901.04 | + | 1301.71i | 0.825106 | + | 0.564978i | ||||
\(49\) | −1129.51 | + | 1956.38i | −0.470435 | + | 0.814817i | ||||
\(50\) | −1302.88 | − | 1534.78i | −0.521153 | − | 0.613911i | ||||
\(51\) | 630.798 | + | 2477.13i | 0.242521 | + | 0.952377i | ||||
\(52\) | 96.2969 | − | 585.252i | 0.0356128 | − | 0.216439i | ||||
\(53\) | 1415.13 | 0.503783 | 0.251892 | − | 0.967755i | \(-0.418947\pi\) | ||||
0.251892 | + | 0.967755i | \(0.418947\pi\) | |||||||
\(54\) | 2334.57 | + | 1747.24i | 0.800607 | + | 0.599190i | ||||
\(55\) | − | 2420.19i | − | 0.800062i | ||||||
\(56\) | 369.883 | − | 666.859i | 0.117947 | − | 0.212646i | ||||
\(57\) | −396.749 | + | 101.032i | −0.122114 | + | 0.0310962i | ||||
\(58\) | −3179.66 | − | 3745.60i | −0.945203 | − | 1.11344i | ||||
\(59\) | −2453.33 | − | 1416.43i | −0.704778 | − | 0.406904i | 0.104346 | − | 0.994541i | \(-0.466725\pi\) |
−0.809125 | + | 0.587637i | \(0.800058\pi\) | |||||||
\(60\) | −1582.64 | + | 136.875i | −0.439622 | + | 0.0380209i | ||||
\(61\) | 2628.64 | + | 4552.93i | 0.706433 | + | 1.22358i | 0.966172 | + | 0.257899i | \(0.0830300\pi\) |
−0.259739 | + | 0.965679i | \(0.583637\pi\) | |||||||
\(62\) | −5705.44 | − | 2039.68i | −1.48425 | − | 0.530614i | ||||
\(63\) | 503.226 | − | 823.552i | 0.126789 | − | 0.207496i | ||||
\(64\) | 1924.92 | − | 3615.51i | 0.469950 | − | 0.882693i | ||||
\(65\) | 204.471 | + | 354.154i | 0.0483954 | + | 0.0838233i | ||||
\(66\) | 6439.01 | + | 4573.46i | 1.47819 | + | 1.04992i | ||||
\(67\) | −805.917 | − | 465.296i | −0.179531 | − | 0.103653i | 0.407541 | − | 0.913187i | \(-0.366386\pi\) |
−0.587073 | + | 0.809534i | \(0.699720\pi\) | |||||||
\(68\) | 4252.19 | − | 1603.07i | 0.919592 | − | 0.346684i | ||||
\(69\) | 490.620 | − | 1743.87i | 0.103050 | − | 0.366283i | ||||
\(70\) | 94.2635 | + | 517.254i | 0.0192375 | + | 0.105562i | ||||
\(71\) | 1162.75i | 0.230659i | 0.993327 | + | 0.115329i | \(0.0367923\pi\) | ||||
−0.993327 | + | 0.115329i | \(0.963208\pi\) | |||||||
\(72\) | 2626.58 | − | 4469.33i | 0.506670 | − | 0.862140i | ||||
\(73\) | −2162.87 | −0.405867 | −0.202934 | − | 0.979192i | \(-0.565048\pi\) | ||||
−0.202934 | + | 0.979192i | \(0.565048\pi\) | |||||||
\(74\) | 5986.57 | − | 1090.98i | 1.09324 | − | 0.199230i | ||||
\(75\) | −3242.64 | + | 3162.88i | −0.576469 | + | 0.562290i | ||||
\(76\) | 256.754 | + | 681.051i | 0.0444519 | + | 0.117911i | ||||
\(77\) | 1307.02 | − | 2263.82i | 0.220445 | − | 0.381822i | ||||
\(78\) | −1328.63 | − | 125.247i | −0.218381 | − | 0.0205862i | ||||
\(79\) | −6482.54 | + | 3742.70i | −1.03870 | + | 0.599695i | −0.919466 | − | 0.393171i | \(-0.871378\pi\) |
−0.119237 | + | 0.992866i | \(0.538045\pi\) | |||||||
\(80\) | 553.978 | + | 2769.22i | 0.0865591 | + | 0.432690i | ||||
\(81\) | 3559.29 | − | 5511.64i | 0.542492 | − | 0.840061i | ||||
\(82\) | −3546.69 | + | 9920.88i | −0.527467 | + | 1.47544i | ||||
\(83\) | 966.756 | − | 558.157i | 0.140333 | − | 0.0810215i | −0.428190 | − | 0.903689i | \(-0.640848\pi\) |
0.568523 | + | 0.822667i | \(0.307515\pi\) | |||||||
\(84\) | −1554.31 | − | 726.670i | −0.220282 | − | 0.102986i | ||||
\(85\) | −1566.60 | + | 2713.43i | −0.216830 | + | 0.375561i | ||||
\(86\) | −121.852 | + | 103.441i | −0.0164754 | + | 0.0139861i | ||||
\(87\) | −7913.60 | + | 7718.96i | −1.04553 | + | 1.01981i | ||||
\(88\) | 6810.44 | − | 12278.5i | 0.879447 | − | 1.58555i | ||||
\(89\) | −6739.71 | −0.850866 | −0.425433 | − | 0.904990i | \(-0.639878\pi\) | ||||
−0.425433 | + | 0.904990i | \(0.639878\pi\) | |||||||
\(90\) | 553.059 | + | 3531.18i | 0.0682789 | + | 0.435949i | ||||
\(91\) | 441.696i | 0.0533385i | ||||||||
\(92\) | −3177.85 | − | 522.881i | −0.375455 | − | 0.0617771i | ||||
\(93\) | −3692.13 | + | 13123.4i | −0.426886 | + | 1.51734i | ||||
\(94\) | −8797.09 | + | 7467.91i | −0.995596 | + | 0.845168i | ||||
\(95\) | −434.596 | − | 250.914i | −0.0481546 | − | 0.0278021i | ||||
\(96\) | −8414.48 | − | 3759.15i | −0.913029 | − | 0.407894i | ||||
\(97\) | −6023.28 | − | 10432.6i | −0.640161 | − | 1.10879i | −0.985396 | − | 0.170276i | \(-0.945534\pi\) |
0.345235 | − | 0.938516i | \(-0.387799\pi\) | |||||||
\(98\) | 3041.85 | − | 8508.73i | 0.316727 | − | 0.885957i | ||||
\(99\) | 9265.60 | − | 15163.6i | 0.945373 | − | 1.54715i | ||||
\(100\) | 6227.74 | + | 5105.28i | 0.622774 | + | 0.510528i | ||||
\(101\) | 4777.60 | + | 8275.04i | 0.468346 | + | 0.811199i | 0.999346 | − | 0.0361728i | \(-0.0115167\pi\) |
−0.530999 | + | 0.847372i | \(0.678183\pi\) | |||||||
\(102\) | −4258.77 | − | 9295.61i | −0.409339 | − | 0.893465i | ||||
\(103\) | 9962.26 | + | 5751.71i | 0.939039 | + | 0.542154i | 0.889659 | − | 0.456626i | \(-0.150942\pi\) |
0.0493798 | + | 0.998780i | \(0.484276\pi\) | |||||||
\(104\) | 40.7622 | + | 2372.13i | 0.00376870 | + | 0.219317i | ||||
\(105\) | 1146.40 | − | 291.930i | 0.103982 | − | 0.0264789i | ||||
\(106\) | −5568.79 | + | 1014.85i | −0.495620 | + | 0.0903211i | ||||
\(107\) | 6602.72i | 0.576707i | 0.957524 | + | 0.288353i | \(0.0931078\pi\) | ||||
−0.957524 | + | 0.288353i | \(0.906892\pi\) | |||||||
\(108\) | −10440.0 | − | 5201.50i | −0.895061 | − | 0.445944i | ||||
\(109\) | 12045.3 | 1.01383 | 0.506913 | − | 0.861997i | \(-0.330786\pi\) | ||||
0.506913 | + | 0.861997i | \(0.330786\pi\) | |||||||
\(110\) | 1735.62 | + | 9523.89i | 0.143440 | + | 0.787099i | ||||
\(111\) | −3378.73 | − | 13268.2i | −0.274225 | − | 1.07688i | ||||
\(112\) | −977.325 | + | 2889.48i | −0.0779117 | + | 0.230347i | ||||
\(113\) | −1865.35 | + | 3230.88i | −0.146084 | + | 0.253025i | −0.929777 | − | 0.368124i | \(-0.880000\pi\) |
0.783693 | + | 0.621149i | \(0.213334\pi\) | |||||||
\(114\) | 1488.83 | − | 682.104i | 0.114561 | − | 0.0524857i | ||||
\(115\) | 1923.01 | − | 1110.25i | 0.145407 | − | 0.0839510i | ||||
\(116\) | 15198.7 | + | 12459.4i | 1.12951 | + | 0.925933i | ||||
\(117\) | −74.7620 | + | 3001.74i | −0.00546146 | + | 0.219281i | ||||
\(118\) | 10670.1 | + | 3814.54i | 0.766311 | + | 0.273954i | ||||
\(119\) | −2930.77 | + | 1692.08i | −0.206960 | + | 0.119489i | ||||
\(120\) | 6129.83 | − | 1673.61i | 0.425682 | − | 0.116223i | ||||
\(121\) | 16744.9 | − | 29003.0i | 1.14370 | − | 1.98094i | ||||
\(122\) | −13609.3 | − | 16031.5i | −0.914356 | − | 1.07710i | ||||
\(123\) | 22819.6 | + | 6420.05i | 1.50834 | + | 0.424354i | ||||
\(124\) | 23914.7 | + | 3934.92i | 1.55533 | + | 0.255913i | ||||
\(125\) | −12447.0 | −0.796607 | ||||||||
\(126\) | −1389.68 | + | 3601.72i | −0.0875336 | + | 0.226865i | ||||
\(127\) | − | 26549.7i | − | 1.64608i | −0.567980 | − | 0.823042i | \(-0.692275\pi\) | ||
0.567980 | − | 0.823042i | \(-0.307725\pi\) | |||||||
\(128\) | −4982.07 | + | 15608.2i | −0.304082 | + | 0.952646i | ||||
\(129\) | 251.113 | + | 257.445i | 0.0150900 | + | 0.0154706i | ||||
\(130\) | −1058.61 | − | 1247.03i | −0.0626396 | − | 0.0737886i | ||||
\(131\) | 1142.84 | + | 659.821i | 0.0665954 | + | 0.0384489i | 0.532928 | − | 0.846161i | \(-0.321092\pi\) |
−0.466333 | + | 0.884609i | \(0.654425\pi\) | |||||||
\(132\) | −28618.5 | − | 13379.8i | −1.64248 | − | 0.767892i | ||||
\(133\) | −271.011 | − | 469.405i | −0.0153209 | − | 0.0265366i | ||||
\(134\) | 3505.12 | + | 1253.07i | 0.195206 | + | 0.0697856i | ||||
\(135\) | 7840.31 | − | 1789.90i | 0.430195 | − | 0.0982111i | ||||
\(136\) | −15583.6 | + | 9357.79i | −0.842537 | + | 0.505936i | ||||
\(137\) | −12906.5 | − | 22354.7i | −0.687648 | − | 1.19104i | −0.972597 | − | 0.232499i | \(-0.925310\pi\) |
0.284949 | − | 0.958543i | \(-0.408023\pi\) | |||||||
\(138\) | −680.075 | + | 7214.32i | −0.0357107 | + | 0.378824i | ||||
\(139\) | 11377.8 | + | 6569.00i | 0.588885 | + | 0.339993i | 0.764656 | − | 0.644438i | \(-0.222909\pi\) |
−0.175772 | + | 0.984431i | \(0.556242\pi\) | |||||||
\(140\) | −741.889 | − | 1967.89i | −0.0378515 | − | 0.100403i | ||||
\(141\) | 18129.1 | + | 18586.3i | 0.911881 | + | 0.934876i | ||||
\(142\) | −833.858 | − | 4575.64i | −0.0413538 | − | 0.226921i | ||||
\(143\) | 8132.70i | 0.397706i | ||||||||
\(144\) | −7130.92 | + | 19471.3i | −0.343891 | + | 0.939010i | ||||
\(145\) | −13550.2 | −0.644478 | ||||||||
\(146\) | 8511.29 | − | 1551.08i | 0.399291 | − | 0.0727662i | ||||
\(147\) | −19571.5 | − | 5506.21i | −0.905708 | − | 0.254811i | ||||
\(148\) | −22775.9 | + | 8586.46i | −1.03981 | + | 0.392004i | ||||
\(149\) | −12968.2 | + | 22461.6i | −0.584128 | + | 1.01174i | 0.410856 | + | 0.911700i | \(0.365230\pi\) |
−0.994984 | + | 0.100038i | \(0.968103\pi\) | |||||||
\(150\) | 10492.2 | − | 14772.0i | 0.466318 | − | 0.656532i | ||||
\(151\) | −24591.2 | + | 14197.8i | −1.07852 | + | 0.622681i | −0.930496 | − | 0.366303i | \(-0.880623\pi\) |
−0.148020 | + | 0.988984i | \(0.547290\pi\) | |||||||
\(152\) | −1498.79 | − | 2495.93i | −0.0648714 | − | 0.108030i | ||||
\(153\) | −20203.7 | + | 11003.2i | −0.863076 | + | 0.470042i | ||||
\(154\) | −3519.88 | + | 9845.88i | −0.148418 | + | 0.415158i | ||||
\(155\) | −14471.5 | + | 8355.15i | −0.602353 | + | 0.347769i | ||||
\(156\) | 5318.24 | − | 459.950i | 0.218534 | − | 0.0189000i | ||||
\(157\) | 2760.19 | − | 4780.78i | 0.111980 | − | 0.193954i | −0.804589 | − | 0.593832i | \(-0.797614\pi\) |
0.916568 | + | 0.399878i | \(0.130948\pi\) | |||||||
\(158\) | 22826.0 | − | 19377.1i | 0.914356 | − | 0.776203i | ||||
\(159\) | 3142.94 | + | 12342.3i | 0.124320 | + | 0.488203i | ||||
\(160\) | −4165.93 | − | 10500.1i | −0.162732 | − | 0.410161i | ||||
\(161\) | 2398.36 | 0.0925257 | ||||||||
\(162\) | −10053.8 | + | 24241.9i | −0.383091 | + | 0.923711i | ||||
\(163\) | 407.281i | 0.0153292i | 0.999971 | + | 0.00766459i | \(0.00243974\pi\) | ||||
−0.999971 | + | 0.00766459i | \(0.997560\pi\) | |||||||
\(164\) | 6842.21 | − | 41584.0i | 0.254395 | − | 1.54610i | ||||
\(165\) | 21108.1 | − | 5375.13i | 0.775319 | − | 0.197434i | ||||
\(166\) | −3404.09 | + | 2889.76i | −0.123534 | + | 0.104868i | ||||
\(167\) | 20561.9 | + | 11871.4i | 0.737277 | + | 0.425667i | 0.821078 | − | 0.570816i | \(-0.193373\pi\) |
−0.0838016 | + | 0.996482i | \(0.526706\pi\) | |||||||
\(168\) | 6637.61 | + | 1744.92i | 0.235176 | + | 0.0618241i | ||||
\(169\) | 13593.4 | + | 23544.5i | 0.475943 | + | 0.824357i | ||||
\(170\) | 4218.95 | − | 11801.3i | 0.145984 | − | 0.408351i | ||||
\(171\) | −1762.33 | − | 3235.92i | −0.0602690 | − | 0.110664i | ||||
\(172\) | 405.328 | − | 494.444i | 0.0137009 | − | 0.0167132i | ||||
\(173\) | 1413.25 | + | 2447.82i | 0.0472200 | + | 0.0817874i | 0.888669 | − | 0.458549i | \(-0.151630\pi\) |
−0.841449 | + | 0.540336i | \(0.818297\pi\) | |||||||
\(174\) | 25605.9 | − | 36050.7i | 0.845750 | − | 1.19074i | ||||
\(175\) | −5193.52 | − | 2998.48i | −0.169584 | − | 0.0979095i | ||||
\(176\) | −17994.9 | + | 53202.2i | −0.580931 | + | 1.71753i | ||||
\(177\) | 6904.89 | − | 24543.0i | 0.220399 | − | 0.783395i | ||||
\(178\) | 26522.0 | − | 4833.34i | 0.837080 | − | 0.152548i | ||||
\(179\) | − | 45743.4i | − | 1.42765i | −0.700323 | − | 0.713826i | \(-0.746961\pi\) | ||
0.700323 | − | 0.713826i | \(-0.253039\pi\) | |||||||
\(180\) | −4708.75 | − | 13499.3i | −0.145332 | − | 0.416644i | ||||
\(181\) | −24226.2 | −0.739483 | −0.369742 | − | 0.929135i | \(-0.620554\pi\) | ||||
−0.369742 | + | 0.929135i | \(0.620554\pi\) | |||||||
\(182\) | −316.759 | − | 1738.16i | −0.00956283 | − | 0.0524743i | ||||
\(183\) | −33871.0 | + | 33037.9i | −1.01141 | + | 0.986531i | ||||
\(184\) | 12880.4 | − | 221.334i | 0.380447 | − | 0.00653752i | ||||
\(185\) | 8391.13 | − | 14533.9i | 0.245176 | − | 0.424657i | ||||
\(186\) | 5117.87 | − | 54291.0i | 0.147932 | − | 1.56928i | ||||
\(187\) | −53962.5 | + | 31155.3i | −1.54315 | + | 0.890940i | ||||
\(188\) | 29262.6 | − | 35696.4i | 0.827938 | − | 1.00997i | ||||
\(189\) | 8300.38 | + | 2559.89i | 0.232367 | + | 0.0716634i | ||||
\(190\) | 1890.16 | + | 675.726i | 0.0523589 | + | 0.0187182i | ||||
\(191\) | 19504.6 | − | 11261.0i | 0.534651 | − | 0.308681i | −0.208257 | − | 0.978074i | \(-0.566779\pi\) |
0.742908 | + | 0.669393i | \(0.233446\pi\) | |||||||
\(192\) | 35808.4 | + | 8758.58i | 0.971365 | + | 0.237592i | ||||
\(193\) | −9144.35 | + | 15838.5i | −0.245493 | + | 0.425205i | −0.962270 | − | 0.272097i | \(-0.912283\pi\) |
0.716777 | + | 0.697302i | \(0.245616\pi\) | |||||||
\(194\) | 31184.4 | + | 36734.8i | 0.828579 | + | 0.976055i | ||||
\(195\) | −2634.69 | + | 2569.88i | −0.0692883 | + | 0.0675841i | ||||
\(196\) | −5868.28 | + | 35664.9i | −0.152756 | + | 0.928387i | ||||
\(197\) | 36300.2 | 0.935356 | 0.467678 | − | 0.883899i | \(-0.345091\pi\) | ||||
0.467678 | + | 0.883899i | \(0.345091\pi\) | |||||||
\(198\) | −25587.4 | + | 66316.3i | −0.652674 | + | 1.69157i | ||||
\(199\) | − | 47336.5i | − | 1.19533i | −0.801744 | − | 0.597667i | \(-0.796094\pi\) | ||
0.801744 | − | 0.597667i | \(-0.203906\pi\) | |||||||
\(200\) | −28168.6 | − | 15624.1i | −0.704214 | − | 0.390602i | ||||
\(201\) | 2268.25 | − | 8062.33i | 0.0561434 | − | 0.199558i | ||||
\(202\) | −24735.1 | − | 29137.6i | −0.606194 | − | 0.714088i | ||||
\(203\) | −12674.7 | − | 7317.73i | −0.307571 | − | 0.177576i | ||||
\(204\) | 23425.3 | + | 33525.8i | 0.562892 | + | 0.805600i | ||||
\(205\) | 14528.3 | + | 25163.8i | 0.345706 | + | 0.598781i | ||||
\(206\) | −43328.2 | − | 15489.7i | −1.02102 | − | 0.365014i | ||||
\(207\) | 16299.1 | + | 405.949i | 0.380385 | + | 0.00947394i | ||||
\(208\) | −1861.57 | − | 9305.56i | −0.0430280 | − | 0.215088i | ||||
\(209\) | −4989.97 | − | 8642.89i | −0.114237 | − | 0.197864i | ||||
\(210\) | −4301.96 | + | 1970.93i | −0.0975500 | + | 0.0446923i | ||||
\(211\) | 40261.7 | + | 23245.1i | 0.904330 | + | 0.522115i | 0.878602 | − | 0.477554i | \(-0.158476\pi\) |
0.0257275 | + | 0.999669i | \(0.491810\pi\) | |||||||
\(212\) | 21186.5 | − | 7987.24i | 0.471397 | − | 0.177715i | ||||
\(213\) | −10141.1 | + | 2582.42i | −0.223525 | + | 0.0569203i | ||||
\(214\) | −4735.09 | − | 25982.9i | −0.103395 | − | 0.567363i | ||||
\(215\) | 440.814i | 0.00953626i | ||||||||
\(216\) | 44813.5 | + | 12981.9i | 0.960509 | + | 0.278247i | ||||
\(217\) | −18048.7 | −0.383290 | ||||||||
\(218\) | −47400.4 | + | 8638.18i | −0.997400 | + | 0.181765i | ||||
\(219\) | −4803.64 | − | 18863.8i | −0.100157 | − | 0.393315i | ||||
\(220\) | −13660.0 | − | 36233.6i | −0.282231 | − | 0.748629i | ||||
\(221\) | 5264.34 | − | 9118.10i | 0.107785 | − | 0.186689i | ||||
\(222\) | 22811.1 | + | 49789.8i | 0.462850 | + | 1.01026i | ||||
\(223\) | 71531.9 | − | 41298.9i | 1.43843 | − | 0.830480i | 0.440693 | − | 0.897658i | \(-0.354733\pi\) |
0.997741 | + | 0.0671780i | \(0.0213996\pi\) | |||||||
\(224\) | 1773.79 | − | 12071.5i | 0.0353514 | − | 0.240583i | ||||
\(225\) | −34787.3 | − | 21256.6i | −0.687157 | − | 0.419883i | ||||
\(226\) | 5023.49 | − | 14051.8i | 0.0983533 | − | 0.275116i | ||||
\(227\) | −25722.3 | + | 14850.8i | −0.499182 | + | 0.288203i | −0.728376 | − | 0.685178i | \(-0.759724\pi\) |
0.229194 | + | 0.973381i | \(0.426391\pi\) | |||||||
\(228\) | −5369.66 | + | 3751.91i | −0.103294 | + | 0.0721743i | ||||
\(229\) | −22667.9 | + | 39262.0i | −0.432256 | + | 0.748690i | −0.997067 | − | 0.0765307i | \(-0.975616\pi\) |
0.564811 | + | 0.825220i | \(0.308949\pi\) | |||||||
\(230\) | −6771.21 | + | 5748.13i | −0.128000 | + | 0.108660i | ||||
\(231\) | 22647.1 | + | 6371.52i | 0.424413 | + | 0.119404i | ||||
\(232\) | −68744.9 | − | 38130.3i | −1.27722 | − | 0.708425i | ||||
\(233\) | 50931.3 | 0.938151 | 0.469075 | − | 0.883158i | \(-0.344587\pi\) | ||||
0.469075 | + | 0.883158i | \(0.344587\pi\) | |||||||
\(234\) | −1858.48 | − | 11866.0i | −0.0339411 | − | 0.216708i | ||||
\(235\) | 31824.5i | 0.576270i | ||||||||
\(236\) | −44724.5 | − | 7358.94i | −0.803010 | − | 0.132127i | ||||
\(237\) | −47040.0 | − | 48226.2i | −0.837472 | − | 0.858590i | ||||
\(238\) | 10319.7 | − | 8760.43i | 0.182184 | − | 0.154658i | ||||
\(239\) | 31946.2 | + | 18444.1i | 0.559272 | + | 0.322896i | 0.752853 | − | 0.658188i | \(-0.228677\pi\) |
−0.193581 | + | 0.981084i | \(0.562010\pi\) | |||||||
\(240\) | −22921.8 | + | 10981.9i | −0.397948 | + | 0.190658i | ||||
\(241\) | −4193.64 | − | 7263.59i | −0.0722033 | − | 0.125060i | 0.827663 | − | 0.561225i | \(-0.189670\pi\) |
−0.899867 | + | 0.436165i | \(0.856336\pi\) | |||||||
\(242\) | −45094.9 | + | 126141.i | −0.770011 | + | 2.15389i | ||||
\(243\) | 55975.7 | + | 18801.8i | 0.947953 | + | 0.318410i | ||||
\(244\) | 65052.0 | + | 53327.3i | 1.09265 | + | 0.895715i | ||||
\(245\) | −12460.3 | − | 21581.9i | −0.207586 | − | 0.359549i | ||||
\(246\) | −94403.6 | − | 8899.18i | −1.55998 | − | 0.147055i | ||||
\(247\) | 1460.40 | + | 843.160i | 0.0239374 | + | 0.0138203i | ||||
\(248\) | −96930.9 | + | 1665.64i | −1.57601 | + | 0.0270818i | ||||
\(249\) | 7015.18 | + | 7192.08i | 0.113146 | + | 0.115999i | ||||
\(250\) | 48981.2 | − | 8926.26i | 0.783699 | − | 0.142820i | ||||
\(251\) | − | 1475.47i | − | 0.0234198i | −0.999931 | − | 0.0117099i | \(-0.996273\pi\) | ||
0.999931 | − | 0.0117099i | \(-0.00372746\pi\) | |||||||
\(252\) | 2885.72 | − | 15170.0i | 0.0454416 | − | 0.238883i | ||||
\(253\) | 44159.6 | 0.689897 | ||||||||
\(254\) | 19039.9 | + | 104478.i | 0.295119 | + | 1.61941i | ||||
\(255\) | −27145.0 | − | 7636.94i | −0.417454 | − | 0.117446i | ||||
\(256\) | 8412.13 | − | 64993.9i | 0.128359 | − | 0.991728i | ||||
\(257\) | −17336.5 | + | 30027.8i | −0.262480 | + | 0.454629i | −0.966900 | − | 0.255154i | \(-0.917874\pi\) |
0.704420 | + | 0.709783i | \(0.251207\pi\) | |||||||
\(258\) | −1172.80 | − | 833.012i | −0.0176192 | − | 0.0125145i | ||||
\(259\) | 15698.0 | − | 9063.23i | 0.234015 | − | 0.135109i | ||||
\(260\) | 5060.12 | + | 4148.11i | 0.0748539 | + | 0.0613626i | ||||
\(261\) | −84897.9 | − | 51876.3i | −1.24628 | − | 0.761531i | ||||
\(262\) | −4970.49 | − | 1776.94i | −0.0724097 | − | 0.0258863i | ||||
\(263\) | 16482.5 | − | 9516.19i | 0.238294 | − | 0.137579i | −0.376099 | − | 0.926580i | \(-0.622735\pi\) |
0.614392 | + | 0.789001i | \(0.289401\pi\) | |||||||
\(264\) | 122215. | + | 32128.3i | 1.75354 | + | 0.460977i | ||||
\(265\) | −7805.54 | + | 13519.6i | −0.111151 | + | 0.192518i | ||||
\(266\) | 1403.11 | + | 1652.84i | 0.0198303 | + | 0.0233598i | ||||
\(267\) | −14968.6 | − | 58781.5i | −0.209971 | − | 0.824552i | ||||
\(268\) | −14691.9 | − | 2417.40i | −0.204555 | − | 0.0336573i | ||||
\(269\) | 58724.1 | 0.811544 | 0.405772 | − | 0.913974i | \(-0.367003\pi\) | ||||
0.405772 | + | 0.913974i | \(0.367003\pi\) | |||||||
\(270\) | −29569.5 | + | 12666.2i | −0.405617 | + | 0.173748i | ||||
\(271\) | 31474.1i | 0.428563i | 0.976772 | + | 0.214281i | \(0.0687409\pi\) | ||||
−0.976772 | + | 0.214281i | \(0.931259\pi\) | |||||||
\(272\) | 54613.4 | − | 48000.3i | 0.738178 | − | 0.648793i | ||||
\(273\) | −3852.32 | + | 980.988i | −0.0516889 | + | 0.0131625i | ||||
\(274\) | 66820.8 | + | 78714.0i | 0.890043 | + | 1.04846i | ||||
\(275\) | −95625.2 | − | 55209.2i | −1.26447 | − | 0.730040i | ||||
\(276\) | −2497.47 | − | 28877.4i | −0.0327856 | − | 0.379088i | ||||
\(277\) | −33265.8 | − | 57618.0i | −0.433549 | − | 0.750929i | 0.563627 | − | 0.826029i | \(-0.309405\pi\) |
−0.997176 | + | 0.0751008i | \(0.976072\pi\) | |||||||
\(278\) | −49484.8 | − | 17690.7i | −0.640299 | − | 0.228905i | ||||
\(279\) | −122658. | − | 3054.95i | −1.57575 | − | 0.0392460i | ||||
\(280\) | 4330.73 | + | 7211.98i | 0.0552389 | + | 0.0919895i | ||||
\(281\) | 61859.9 | + | 107145.i | 0.783424 | + | 1.35693i | 0.929936 | + | 0.367721i | \(0.119862\pi\) |
−0.146512 | + | 0.989209i | \(0.546805\pi\) | |||||||
\(282\) | −84670.5 | − | 60139.3i | −1.06472 | − | 0.756241i | ||||
\(283\) | 47401.9 | + | 27367.5i | 0.591865 | + | 0.341713i | 0.765835 | − | 0.643038i | \(-0.222326\pi\) |
−0.173970 | + | 0.984751i | \(0.555659\pi\) | |||||||
\(284\) | 6562.78 | + | 17408.0i | 0.0813675 | + | 0.215830i | ||||
\(285\) | 1223.17 | − | 4347.66i | 0.0150590 | − | 0.0535262i | ||||
\(286\) | −5832.30 | − | 32003.7i | −0.0713030 | − | 0.391262i | ||||
\(287\) | 31383.9i | 0.381016i | ||||||||
\(288\) | 14097.8 | − | 81737.1i | 0.169968 | − | 0.985450i | ||||
\(289\) | −2853.15 | −0.0341609 | ||||||||
\(290\) | 53322.4 | − | 9717.39i | 0.634036 | − | 0.115546i | ||||
\(291\) | 77612.4 | − | 75703.4i | 0.916526 | − | 0.893983i | ||||
\(292\) | −32381.2 | + | 12207.6i | −0.379776 | + | 0.143174i | ||||
\(293\) | 44309.0 | − | 76745.4i | 0.516127 | − | 0.893958i | −0.483698 | − | 0.875235i | \(-0.660707\pi\) |
0.999825 | − | 0.0187226i | \(-0.00595995\pi\) | |||||||
\(294\) | 80966.1 | + | 7632.46i | 0.936717 | + | 0.0883019i | ||||
\(295\) | 27064.1 | − | 15625.5i | 0.310993 | − | 0.179552i | ||||
\(296\) | 83469.8 | − | 50122.9i | 0.952677 | − | 0.572075i | ||||
\(297\) | 152830. | + | 47133.8i | 1.73259 | + | 0.534342i | ||||
\(298\) | 34924.2 | − | 97690.7i | 0.393273 | − | 1.10007i | ||||
\(299\) | −6462.01 | + | 3730.84i | −0.0722812 | + | 0.0417316i | ||||
\(300\) | −30695.0 | + | 65654.9i | −0.341055 | + | 0.729498i | ||||
\(301\) | −238.061 | + | 412.333i | −0.00262757 | + | 0.00455109i | ||||
\(302\) | 86589.3 | − | 73506.3i | 0.949403 | − | 0.805955i | ||||
\(303\) | −61561.3 | + | 60047.1i | −0.670536 | + | 0.654044i | ||||
\(304\) | 7687.95 | + | 8747.13i | 0.0831886 | + | 0.0946495i | ||||
\(305\) | −57996.0 | −0.623446 | ||||||||
\(306\) | 71614.6 | − | 57788.7i | 0.764820 | − | 0.617163i | ||||
\(307\) | 123447.i | 1.30980i | 0.755716 | + | 0.654900i | \(0.227289\pi\) | ||||
−0.755716 | + | 0.654900i | \(0.772711\pi\) | |||||||
\(308\) | 6790.48 | − | 41269.7i | 0.0715813 | − | 0.435040i | ||||
\(309\) | −28038.7 | + | 99661.8i | −0.293658 | + | 1.04379i | ||||
\(310\) | 50956.4 | − | 43257.2i | 0.530243 | − | 0.450127i | ||||
\(311\) | 52431.9 | + | 30271.6i | 0.542094 | + | 0.312978i | 0.745927 | − | 0.666027i | \(-0.232007\pi\) |
−0.203833 | + | 0.979006i | \(0.565340\pi\) | |||||||
\(312\) | −20598.4 | + | 5623.92i | −0.211604 | + | 0.0577737i | ||||
\(313\) | 26193.1 | + | 45367.8i | 0.267361 | + | 0.463083i | 0.968180 | − | 0.250257i | \(-0.0805150\pi\) |
−0.700818 | + | 0.713340i | \(0.747182\pi\) | |||||||
\(314\) | −7433.35 | + | 20792.7i | −0.0753920 | + | 0.210888i | ||||
\(315\) | 5092.22 | + | 9350.17i | 0.0513200 | + | 0.0942320i | ||||
\(316\) | −75928.4 | + | 92622.1i | −0.760378 | + | 0.927557i | ||||
\(317\) | 12998.7 | + | 22514.4i | 0.129354 | + | 0.224048i | 0.923427 | − | 0.383775i | \(-0.125376\pi\) |
−0.794072 | + | 0.607823i | \(0.792043\pi\) | |||||||
\(318\) | −21219.2 | − | 46315.2i | −0.209834 | − | 0.458004i | ||||
\(319\) | −233372. | − | 134737.i | −2.29333 | − | 1.32406i | ||||
\(320\) | 23923.8 | + | 38332.3i | 0.233631 | + | 0.374339i | ||||
\(321\) | −57586.7 | + | 14664.4i | −0.558871 | + | 0.142316i | ||||
\(322\) | −9437.99 | + | 1719.97i | −0.0910265 | + | 0.0165885i | ||||
\(323\) | 12920.1i | 0.123840i | ||||||||
\(324\) | 22178.9 | − | 102606.i | 0.211276 | − | 0.977426i | ||||
\(325\) | 18657.5 | 0.176639 | ||||||||
\(326\) | −292.079 | − | 1602.73i | −0.00274830 | − | 0.0150808i | ||||
\(327\) | 26752.0 | + | 105055.i | 0.250185 | + | 0.982472i | ||||
\(328\) | 2896.29 | + | 168548.i | 0.0269212 | + | 1.56666i | ||||
\(329\) | −17186.8 | + | 29768.4i | −0.158783 | + | 0.275019i | ||||
\(330\) | −79209.4 | + | 36289.6i | −0.727359 | + | 0.333238i | ||||
\(331\) | −37439.2 | + | 21615.5i | −0.341720 | + | 0.197292i | −0.661032 | − | 0.750357i | \(-0.729881\pi\) |
0.319312 | + | 0.947650i | \(0.396548\pi\) | |||||||
\(332\) | 11323.4 | − | 13812.9i | 0.102731 | − | 0.125317i | ||||
\(333\) | 108217. | − | 58936.2i | 0.975901 | − | 0.531488i | ||||
\(334\) | −89428.5 | − | 31970.5i | −0.801647 | − | 0.286587i | ||||
\(335\) | 8890.54 | − | 5132.95i | 0.0792206 | − | 0.0457381i | ||||
\(336\) | −27371.6 | − | 2106.49i | −0.242450 | − | 0.0186587i | ||||
\(337\) | −5926.38 | + | 10264.8i | −0.0521831 | + | 0.0903837i | −0.890937 | − | 0.454127i | \(-0.849951\pi\) |
0.838754 | + | 0.544511i | \(0.183285\pi\) | |||||||
\(338\) | −70377.3 | − | 82903.5i | −0.616027 | − | 0.725671i | ||||
\(339\) | −32321.5 | − | 9093.29i | −0.281249 | − | 0.0791264i | ||||
\(340\) | −8139.12 | + | 49466.1i | −0.0704076 | + | 0.427907i | ||||
\(341\) | −332321. | −2.85791 | ||||||||
\(342\) | 9255.70 | + | 11470.1i | 0.0791329 | + | 0.0980655i | ||||
\(343\) | − | 55525.0i | − | 0.471955i | ||||||
\(344\) | −1240.45 | + | 2236.41i | −0.0104825 | + | 0.0188988i | ||||
\(345\) | 13954.2 | + | 14306.0i | 0.117237 | + | 0.120194i | ||||
\(346\) | −7316.83 | − | 8619.12i | −0.0611182 | − | 0.0719964i | ||||
\(347\) | −25222.5 | − | 14562.2i | −0.209473 | − | 0.120940i | 0.391593 | − | 0.920138i | \(-0.371924\pi\) |
−0.601067 | + | 0.799199i | \(0.705257\pi\) | |||||||
\(348\) | −74910.6 | + | 160230.i | −0.618564 | + | 1.32307i | ||||
\(349\) | −59988.4 | − | 103903.i | −0.492512 | − | 0.853055i | 0.507451 | − | 0.861681i | \(-0.330588\pi\) |
−0.999963 | + | 0.00862528i | \(0.997254\pi\) | |||||||
\(350\) | 22587.8 | + | 8075.08i | 0.184390 | + | 0.0659191i | ||||
\(351\) | −26346.2 | + | 6014.70i | −0.213848 | + | 0.0488202i | ||||
\(352\) | 32659.8 | − | 222266.i | 0.263589 | − | 1.79385i | ||||
\(353\) | −77379.0 | − | 134024.i | −0.620975 | − | 1.07556i | −0.989305 | − | 0.145865i | \(-0.953404\pi\) |
0.368330 | − | 0.929695i | \(-0.379930\pi\) | |||||||
\(354\) | −9571.25 | + | 101533.i | −0.0763769 | + | 0.810216i | ||||
\(355\) | −11108.5 | − | 6413.49i | −0.0881451 | − | 0.0508906i | ||||
\(356\) | −100903. | + | 38040.2i | −0.796167 | + | 0.300153i | ||||
\(357\) | −21266.8 | − | 21803.1i | −0.166866 | − | 0.171073i | ||||
\(358\) | 32804.5 | + | 180009.i | 0.255957 | + | 1.40452i | ||||
\(359\) | 66839.6i | 0.518615i | 0.965795 | + | 0.259307i | \(0.0834942\pi\) | ||||
−0.965795 | + | 0.259307i | \(0.916506\pi\) | |||||||
\(360\) | 28210.7 | + | 49745.3i | 0.217675 | + | 0.383837i | ||||
\(361\) | 128252. | 0.984121 | ||||||||
\(362\) | 95334.7 | − | 17373.6i | 0.727501 | − | 0.132579i | ||||
\(363\) | 290144. | + | 81628.7i | 2.20191 | + | 0.619483i | ||||
\(364\) | 2493.01 | + | 6612.82i | 0.0188158 | + | 0.0499096i | ||||
\(365\) | 11929.9 | − | 20663.2i | 0.0895472 | − | 0.155100i | ||||
\(366\) | 109596. | − | 154301.i | 0.818149 | − | 1.15188i | ||||
\(367\) | 81901.3 | − | 47285.7i | 0.608077 | − | 0.351073i | −0.164136 | − | 0.986438i | \(-0.552483\pi\) |
0.772212 | + | 0.635364i | \(0.219150\pi\) | |||||||
\(368\) | −50528.1 | + | 10108.1i | −0.373110 | + | 0.0746403i | ||||
\(369\) | −5312.08 | + | 213284.i | −0.0390132 | + | 1.56641i | ||||
\(370\) | −22597.8 | + | 63211.2i | −0.165068 | + | 0.461732i | ||||
\(371\) | −14602.5 | + | 8430.74i | −0.106091 | + | 0.0612517i | ||||
\(372\) | 18794.6 | + | 217315.i | 0.135815 | + | 1.57038i | ||||
\(373\) | 90530.4 | − | 156803.i | 0.650694 | − | 1.12704i | −0.332260 | − | 0.943188i | \(-0.607811\pi\) |
0.982955 | − | 0.183848i | \(-0.0588554\pi\) | |||||||
\(374\) | 190010. | − | 161301.i | 1.35842 | − | 1.15317i | ||||
\(375\) | −27644.2 | − | 108558.i | −0.196581 | − | 0.771970i | ||||
\(376\) | −89554.6 | + | 161457.i | −0.633450 | + | 1.14204i | ||||
\(377\) | 45533.4 | 0.320366 | ||||||||
\(378\) | −34499.4 | − | 4121.09i | −0.241450 | − | 0.0288422i | ||||
\(379\) | − | 51191.3i | − | 0.356384i | −0.983996 | − | 0.178192i | \(-0.942975\pi\) | ||
0.983996 | − | 0.178192i | \(-0.0570248\pi\) | |||||||
\(380\) | −7922.71 | − | 1303.60i | −0.0548664 | − | 0.00902769i | ||||
\(381\) | 231557. | − | 58965.7i | 1.59518 | − | 0.406209i | ||||
\(382\) | −68678.6 | + | 58301.7i | −0.470646 | + | 0.399535i | ||||
\(383\) | 132128. | + | 76284.0i | 0.900734 | + | 0.520039i | 0.877438 | − | 0.479690i | \(-0.159251\pi\) |
0.0232957 | + | 0.999729i | \(0.492584\pi\) | |||||||
\(384\) | −147194. | − | 8786.92i | −0.998223 | − | 0.0595901i | ||||
\(385\) | 14418.5 | + | 24973.5i | 0.0972742 | + | 0.168484i | ||||
\(386\) | 24626.3 | − | 68885.2i | 0.165282 | − | 0.462329i | ||||
\(387\) | −1687.64 | + | 2761.90i | −0.0112683 | + | 0.0184411i | ||||
\(388\) | −149061. | − | 122195.i | −0.990147 | − | 0.811687i | ||||
\(389\) | −33948.4 | − | 58800.3i | −0.224347 | − | 0.388580i | 0.731776 | − | 0.681545i | \(-0.238692\pi\) |
−0.956123 | + | 0.292965i | \(0.905358\pi\) | |||||||
\(390\) | 8525.02 | − | 12002.4i | 0.0560488 | − | 0.0789114i | ||||
\(391\) | −49510.2 | − | 28584.7i | −0.323848 | − | 0.186974i | ||||
\(392\) | −2484.03 | − | 144556.i | −0.0161653 | − | 0.940731i | ||||
\(393\) | −3216.53 | + | 11432.9i | −0.0208258 | + | 0.0740240i | ||||
\(394\) | −142848. | + | 26032.5i | −0.920201 | + | 0.167696i | ||||
\(395\) | − | 82575.7i | − | 0.529247i | ||||||
\(396\) | 53133.1 | − | 279317.i | 0.338825 | − | 1.78118i | ||||
\(397\) | −126087. | −0.799998 | −0.399999 | − | 0.916516i | \(-0.630990\pi\) | ||||
−0.399999 | + | 0.916516i | \(0.630990\pi\) | |||||||
\(398\) | 33947.0 | + | 186278.i | 0.214306 | + | 1.17597i | ||||
\(399\) | 3492.09 | − | 3406.20i | 0.0219351 | − | 0.0213956i | ||||
\(400\) | 122053. | + | 41282.8i | 0.762833 | + | 0.258017i | ||||
\(401\) | −35445.4 | + | 61393.2i | −0.220430 | + | 0.381796i | −0.954939 | − | 0.296803i | \(-0.904079\pi\) |
0.734509 | + | 0.678599i | \(0.237413\pi\) | |||||||
\(402\) | −3144.14 | + | 33353.5i | −0.0194558 | + | 0.206390i | ||||
\(403\) | 48629.5 | − | 28076.3i | 0.299426 | − | 0.172874i | ||||
\(404\) | 118233. | + | 96923.5i | 0.724398 | + | 0.593836i | ||||
\(405\) | 33023.9 | + | 64405.2i | 0.201334 | + | 0.392655i | ||||
\(406\) | 55125.1 | + | 19707.1i | 0.334424 | + | 0.119556i | ||||
\(407\) | 289038. | − | 166876.i | 1.74488 | − | 1.00741i | ||||
\(408\) | −116226. | − | 115131.i | −0.698204 | − | 0.691628i | ||||
\(409\) | −21772.1 | + | 37710.4i | −0.130153 | + | 0.225432i | −0.923735 | − | 0.383031i | \(-0.874880\pi\) |
0.793582 | + | 0.608463i | \(0.208214\pi\) | |||||||
\(410\) | −75217.6 | − | 88605.3i | −0.447458 | − | 0.527099i | ||||
\(411\) | 166305. | − | 162215.i | 0.984513 | − | 0.960298i | ||||
\(412\) | 181613. | + | 29882.5i | 1.06992 | + | 0.176044i | ||||
\(413\) | 33754.1 | 0.197891 | ||||||||
\(414\) | −64431.2 | + | 10091.3i | −0.375920 | + | 0.0588772i | ||||
\(415\) | 12314.7i | 0.0715036i | ||||||||
\(416\) | 13999.0 | + | 35284.1i | 0.0808930 | + | 0.203888i | ||||
\(417\) | −32022.9 | + | 113823.i | −0.184157 | + | 0.654573i | ||||
\(418\) | 25834.7 | + | 30432.9i | 0.147860 | + | 0.174177i | ||||
\(419\) | −182385. | − | 105300.i | −1.03887 | − | 0.599792i | −0.119357 | − | 0.992851i | \(-0.538083\pi\) |
−0.919513 | + | 0.393060i | \(0.871417\pi\) | |||||||
\(420\) | 15515.6 | − | 10841.1i | 0.0879567 | − | 0.0614575i | ||||
\(421\) | −42063.0 | − | 72855.3i | −0.237321 | − | 0.411052i | 0.722624 | − | 0.691242i | \(-0.242936\pi\) |
−0.959945 | + | 0.280190i | \(0.909603\pi\) | |||||||
\(422\) | −175107. | − | 62600.4i | −0.983285 | − | 0.351522i | ||||
\(423\) | −121839. | + | 199395.i | −0.680935 | + | 1.11438i | ||||
\(424\) | −77644.7 | + | 46625.0i | −0.431897 | + | 0.259350i | ||||
\(425\) | 71474.4 | + | 123797.i | 0.395706 | + | 0.685383i | ||||
\(426\) | 38055.2 | − | 17434.9i | 0.209698 | − | 0.0960729i | ||||
\(427\) | −54249.0 | − | 31320.7i | −0.297533 | − | 0.171781i | ||||
\(428\) | 37266.9 | + | 98852.0i | 0.203440 | + | 0.539632i | ||||
\(429\) | −70930.6 | + | 18062.4i | −0.385407 | + | 0.0981432i | ||||
\(430\) | −316.126 | − | 1734.69i | −0.00170972 | − | 0.00938175i | ||||
\(431\) | 150083.i | 0.807933i | 0.914774 | + | 0.403967i | \(0.132369\pi\) | ||||
−0.914774 | + | 0.403967i | \(0.867631\pi\) | |||||||
\(432\) | −185660. | − | 18948.5i | −0.994832 | − | 0.101533i | ||||
\(433\) | 71221.5 | 0.379871 | 0.189935 | − | 0.981797i | \(-0.439172\pi\) | ||||
0.189935 | + | 0.981797i | \(0.439172\pi\) | |||||||
\(434\) | 71025.1 | − | 12943.5i | 0.377079 | − | 0.0687183i | ||||
\(435\) | −30094.3 | − | 118180.i | −0.159040 | − | 0.624546i | ||||
\(436\) | 180335. | − | 67985.7i | 0.948651 | − | 0.357639i | ||||
\(437\) | 4578.26 | − | 7929.78i | 0.0239739 | − | 0.0415239i | ||||
\(438\) | 32431.2 | + | 70787.7i | 0.169050 | + | 0.368986i | ||||
\(439\) | 94609.3 | − | 54622.7i | 0.490913 | − | 0.283429i | −0.234040 | − | 0.972227i | \(-0.575195\pi\) |
0.724953 | + | 0.688798i | \(0.241861\pi\) | |||||||
\(440\) | 79739.3 | + | 132790.i | 0.411876 | + | 0.685899i | ||||
\(441\) | 4555.95 | − | 182925.i | 0.0234262 | − | 0.940578i | ||||
\(442\) | −14177.2 | + | 39656.7i | −0.0725680 | + | 0.202989i | ||||
\(443\) | −199756. | + | 115329.i | −1.01787 | + | 0.587666i | −0.913486 | − | 0.406871i | \(-0.866620\pi\) |
−0.104382 | + | 0.994537i | \(0.533287\pi\) | |||||||
\(444\) | −125472. | − | 179574.i | −0.636477 | − | 0.910912i | ||||
\(445\) | 37174.8 | − | 64388.7i | 0.187728 | − | 0.325154i | ||||
\(446\) | −251874. | + | 213818.i | −1.26623 | + | 1.07491i | ||||
\(447\) | −224704. | − | 63218.1i | −1.12460 | − | 0.316393i | ||||
\(448\) | 1676.80 | + | 48775.7i | 0.00835458 | + | 0.243023i | ||||
\(449\) | −9751.64 | −0.0483710 | −0.0241855 | − | 0.999707i | \(-0.507699\pi\) | ||||
−0.0241855 | + | 0.999707i | \(0.507699\pi\) | |||||||
\(450\) | 152139. | + | 58701.1i | 0.751302 | + | 0.289882i | ||||
\(451\) | 577854.i | 2.84096i | ||||||||
\(452\) | −9691.23 | + | 58899.1i | −0.0474353 | + | 0.288292i | ||||
\(453\) | −178444. | − | 182944.i | −0.869573 | − | 0.891500i | ||||
\(454\) | 90572.1 | − | 76887.2i | 0.439423 | − | 0.373029i | ||||
\(455\) | −4219.80 | − | 2436.30i | −0.0203831 | − | 0.0117682i | ||||
\(456\) | 18440.0 | − | 18615.3i | 0.0886809 | − | 0.0895241i | ||||
\(457\) | −33069.5 | − | 57278.1i | −0.158342 | − | 0.274256i | 0.775929 | − | 0.630820i | \(-0.217281\pi\) |
−0.934271 | + | 0.356564i | \(0.883948\pi\) | |||||||
\(458\) | 61046.1 | − | 170760.i | 0.291023 | − | 0.814056i | ||||
\(459\) | −140838. | − | 151772.i | −0.668489 | − | 0.720390i | ||||
\(460\) | 22523.8 | − | 27475.9i | 0.106445 | − | 0.129848i | ||||
\(461\) | 86994.6 | + | 150679.i | 0.409346 | + | 0.709008i | 0.994817 | − | 0.101686i | \(-0.0324236\pi\) |
−0.585471 | + | 0.810694i | \(0.699090\pi\) | |||||||
\(462\) | −93689.9 | − | 8831.90i | −0.438944 | − | 0.0413781i | ||||
\(463\) | 150682. | + | 86996.3i | 0.702909 | + | 0.405825i | 0.808430 | − | 0.588592i | \(-0.200318\pi\) |
−0.105521 | + | 0.994417i | \(0.533651\pi\) | |||||||
\(464\) | 297869. | + | 100750.i | 1.38353 | + | 0.467960i | ||||
\(465\) | −105011. | − | 107659.i | −0.485658 | − | 0.497905i | ||||
\(466\) | −200424. | + | 36525.0i | −0.922950 | + | 0.168197i | ||||
\(467\) | 172090.i | 0.789080i | 0.918879 | + | 0.394540i | \(0.129096\pi\) | ||||
−0.918879 | + | 0.394540i | \(0.870904\pi\) | |||||||
\(468\) | 15823.1 | + | 45362.3i | 0.0722437 | + | 0.207111i | ||||
\(469\) | 11088.2 | 0.0504097 | ||||||||
\(470\) | −22822.7 | − | 125236.i | −0.103317 | − | 0.566933i | ||||
\(471\) | 47826.6 | + | 13455.5i | 0.215590 | + | 0.0606538i | ||||
\(472\) | 181277. | − | 3115.02i | 0.813688 | − | 0.0139822i | ||||
\(473\) | −4383.27 | + | 7592.05i | −0.0195919 | + | 0.0339341i | ||||
\(474\) | 219696. | + | 156045.i | 0.977836 | + | 0.694532i | ||||
\(475\) | −19828.0 | + | 11447.7i | −0.0878802 | + | 0.0507376i | ||||
\(476\) | −34327.3 | + | 41874.6i | −0.151505 | + | 0.184815i | ||||
\(477\) | −100665. | + | 54823.3i | −0.442426 | + | 0.240951i | ||||
\(478\) | −138941. | − | 49671.2i | −0.608101 | − | 0.217395i | ||||
\(479\) | −189138. | + | 109199.i | −0.824343 | + | 0.475935i | −0.851912 | − | 0.523685i | \(-0.824557\pi\) |
0.0275690 | + | 0.999620i | \(0.491223\pi\) | |||||||
\(480\) | 82326.0 | − | 59654.1i | 0.357318 | − | 0.258916i | ||||
\(481\) | −28197.2 | + | 48839.0i | −0.121875 | + | 0.211094i | ||||
\(482\) | 21711.8 | + | 25576.2i | 0.0934548 | + | 0.110088i | ||||
\(483\) | 5326.65 | + | 20917.7i | 0.0228328 | + | 0.0896642i | ||||
\(484\) | 86996.3 | − | 528726.i | 0.371373 | − | 2.25705i | ||||
\(485\) | 132893. | 0.564959 | ||||||||
\(486\) | −233758. | − | 33846.1i | −0.989680 | − | 0.143297i | ||||
\(487\) | − | 392112.i | − | 1.65330i | −0.562716 | − | 0.826650i | \(-0.690243\pi\) | ||
0.562716 | − | 0.826650i | \(-0.309757\pi\) | |||||||
\(488\) | −294235. | − | 163201.i | −1.23553 | − | 0.685306i | ||||
\(489\) | −3552.17 | + | 904.554i | −0.0148551 | + | 0.00378283i | ||||
\(490\) | 64511.1 | + | 75993.1i | 0.268684 | + | 0.316506i | ||||
\(491\) | −181620. | − | 104859.i | −0.753358 | − | 0.434951i | 0.0735480 | − | 0.997292i | \(-0.476568\pi\) |
−0.826906 | + | 0.562340i | \(0.809901\pi\) | |||||||
\(492\) | 377878. | − | 32680.9i | 1.56107 | − | 0.135009i | ||||
\(493\) | 174432. | + | 302125.i | 0.717683 | + | 1.24306i | ||||
\(494\) | −6351.60 | − | 2270.68i | −0.0260273 | − | 0.00930470i | ||||
\(495\) | 93760.2 | + | 172159.i | 0.382655 | + | 0.702619i | ||||
\(496\) | 380247. | − | 76067.9i | 1.54562 | − | 0.309199i | ||||
\(497\) | −6927.19 | − | 11998.2i | −0.0280443 | − | 0.0485741i | ||||
\(498\) | −32763.8 | − | 23271.3i | −0.132110 | − | 0.0938344i | ||||
\(499\) | −117681. | − | 67943.0i | −0.472611 | − | 0.272862i | 0.244721 | − | 0.969594i | \(-0.421304\pi\) |
−0.717332 | + | 0.696731i | \(0.754637\pi\) | |||||||
\(500\) | −186349. | + | 70253.0i | −0.745395 | + | 0.281012i | ||||
\(501\) | −57871.4 | + | 205700.i | −0.230562 | + | 0.819518i | ||||
\(502\) | 1058.12 | + | 5806.24i | 0.00419883 | + | 0.0230403i | ||||
\(503\) | − | 232332.i | − | 0.918275i | −0.888365 | − | 0.459137i | \(-0.848159\pi\) | ||
0.888365 | − | 0.459137i | \(-0.151841\pi\) | |||||||
\(504\) | −476.781 | + | 61766.4i | −0.00187697 | + | 0.243160i | ||||
\(505\) | −105409. | −0.413328 | ||||||||
\(506\) | −173776. | + | 31668.7i | −0.678718 | + | 0.123689i | ||||
\(507\) | −175156. | + | 170848.i | −0.681413 | + | 0.664653i | ||||
\(508\) | −149851. | − | 397486.i | −0.580675 | − | 1.54026i | ||||
\(509\) | 72659.4 | − | 125850.i | 0.280451 | − | 0.485755i | −0.691045 | − | 0.722812i | \(-0.742849\pi\) |
0.971496 | + | 0.237057i | \(0.0761827\pi\) | |||||||
\(510\) | 112297. | + | 10586.0i | 0.431747 | + | 0.0406996i | ||||
\(511\) | 22318.3 | − | 12885.5i | 0.0854711 | − | 0.0493467i | ||||
\(512\) | 13506.6 | + | 261796.i | 0.0515234 | + | 0.998672i | ||||
\(513\) | 24308.6 | − | 22557.3i | 0.0923687 | − | 0.0857140i | ||||
\(514\) | 46688.3 | − | 130598.i | 0.176719 | − | 0.494321i | ||||
\(515\) | −109899. | + | 63450.5i | −0.414363 | + | 0.239233i | ||||
\(516\) | 5212.59 | + | 2436.99i | 0.0195774 | + | 0.00915282i | ||||
\(517\) | −316450. | + | 548108.i | −1.18393 | + | 2.05062i | ||||
\(518\) | −55274.9 | + | 46923.2i | −0.206001 | + | 0.174875i | ||||
\(519\) | −18210.3 | + | 17762.4i | −0.0676054 | + | 0.0659426i | ||||
\(520\) | −22887.3 | − | 12694.8i | −0.0846425 | − | 0.0469481i | ||||
\(521\) | 443088. | 1.63235 | 0.816177 | − | 0.577803i | \(-0.196090\pi\) | ||||
0.816177 | + | 0.577803i | \(0.196090\pi\) | |||||||
\(522\) | 371292. | + | 143259.i | 1.36262 | + | 0.525752i | ||||
\(523\) | 73202.4i | 0.267622i | 0.991007 | + | 0.133811i | \(0.0427215\pi\) | ||||
−0.991007 | + | 0.133811i | \(0.957278\pi\) | |||||||
\(524\) | 20834.1 | + | 3428.04i | 0.0758775 | + | 0.0124848i | ||||
\(525\) | 14617.1 | − | 51955.6i | 0.0530327 | − | 0.188501i | ||||
\(526\) | −58037.4 | + | 49268.3i | −0.209767 | + | 0.178072i | ||||
\(527\) | 372587. | + | 215113.i | 1.34155 | + | 0.774543i | ||||
\(528\) | −503978. | − | 38785.6i | −1.80777 | − | 0.139124i | ||||
\(529\) | −119662. | − | 207261.i | −0.427609 | − | 0.740640i | ||||
\(530\) | 21020.8 | − | 58799.9i | 0.0748338 | − | 0.209327i | ||||
\(531\) | 229391. | + | 5713.25i | 0.813555 | + | 0.0202626i | ||||
\(532\) | −6706.83 | − | 5498.02i | −0.0236970 | − | 0.0194260i | ||||
\(533\) | −48820.3 | − | 84559.2i | −0.171849 | − | 0.297651i | ||||
\(534\) | 101059. | + | 220582.i | 0.354399 | + | 0.773547i | ||||
\(535\) | −63079.9 | − | 36419.2i | −0.220386 | − | 0.127240i | ||||
\(536\) | 59549.1 | − | 1023.28i | 0.207274 | − | 0.00356176i | ||||
\(537\) | 398958. | − | 101594.i | 1.38350 | − | 0.352306i | ||||
\(538\) | −231090. | + | 42113.6i | −0.798394 | + | 0.145498i | ||||
\(539\) | − | 495602.i | − | 1.70591i | ||||||
\(540\) | 107278. | − | 71049.4i | 0.367894 | − | 0.243654i | ||||
\(541\) | 438165. | 1.49707 | 0.748536 | − | 0.663094i | \(-0.230757\pi\) | ||||
0.748536 | + | 0.663094i | \(0.230757\pi\) | |||||||
\(542\) | −22571.4 | − | 123856.i | −0.0768351 | − | 0.421619i | ||||
\(543\) | −53805.4 | − | 211293.i | −0.182485 | − | 0.716613i | ||||
\(544\) | −180491. | + | 228056.i | −0.609898 | + | 0.770625i | ||||
\(545\) | −66439.2 | + | 115076.i | −0.223682 | + | 0.387429i | ||||
\(546\) | 14456.1 | − | 6623.04i | 0.0484916 | − | 0.0222163i | ||||
\(547\) | 270221. | − | 156012.i | 0.903118 | − | 0.521416i | 0.0249077 | − | 0.999690i | \(-0.492071\pi\) |
0.878211 | + | 0.478274i | \(0.158737\pi\) | |||||||
\(548\) | −319402. | − | 261834.i | −1.06359 | − | 0.871898i | ||||
\(549\) | −363372. | − | 222036.i | −1.20561 | − | 0.736679i | ||||
\(550\) | 415896. | + | 148682.i | 1.37486 | + | 0.491510i | ||||
\(551\) | −48389.8 | + | 27937.9i | −0.159386 | + | 0.0920217i | ||||
\(552\) | 30537.2 | + | 111847.i | 0.100219 | + | 0.367068i | ||||
\(553\) | 44594.9 | − | 77240.6i | 0.145826 | − | 0.252578i | ||||
\(554\) | 172227. | + | 202881.i | 0.561155 | + | 0.661032i | ||||
\(555\) | 145396. | + | 40905.5i | 0.472026 | + | 0.132799i | ||||
\(556\) | 207419. | + | 34128.6i | 0.670963 | + | 0.110400i | ||||
\(557\) | 312549. | 1.00741 | 0.503707 | − | 0.863874i | \(-0.331969\pi\) | ||||
0.503707 | + | 0.863874i | \(0.331969\pi\) | |||||||
\(558\) | 484874. | − | 75941.6i | 1.55726 | − | 0.243900i | ||||
\(559\) | − | 1481.29i | − | 0.00474042i | ||||||
\(560\) | −22214.3 | − | 25274.7i | −0.0708363 | − | 0.0805955i | ||||
\(561\) | −391574. | − | 401448.i | −1.24419 | − | 1.27557i | ||||
\(562\) | −320268. | − | 377272.i | −1.01401 | − | 1.19449i | ||||
\(563\) | 74780.6 | + | 43174.6i | 0.235924 | + | 0.136211i | 0.613302 | − | 0.789849i | \(-0.289841\pi\) |
−0.377378 | + | 0.926059i | \(0.623174\pi\) | |||||||
\(564\) | 376323. | + | 175939.i | 1.18305 | + | 0.553099i | ||||
\(565\) | −20577.7 | − | 35641.7i | −0.0644615 | − | 0.111651i | ||||
\(566\) | −206162. | − | 73702.3i | −0.643539 | − | 0.230064i | ||||
\(567\) | −3891.69 | + | 78078.5i | −0.0121052 | + | 0.242865i | ||||
\(568\) | −38309.8 | − | 63797.4i | −0.118744 | − | 0.197745i | ||||
\(569\) | −277479. | − | 480608.i | −0.857049 | − | 1.48445i | −0.874731 | − | 0.484609i | \(-0.838962\pi\) |
0.0176822 | − | 0.999844i | \(-0.494371\pi\) | |||||||
\(570\) | −1695.50 | + | 17986.1i | −0.00521852 | + | 0.0553588i | ||||
\(571\) | 262848. | + | 151755.i | 0.806181 | + | 0.465449i | 0.845628 | − | 0.533773i | \(-0.179226\pi\) |
−0.0394467 | + | 0.999222i | \(0.512560\pi\) | |||||||
\(572\) | 45902.4 | + | 121758.i | 0.140295 | + | 0.372139i | ||||
\(573\) | 141533. | + | 145102.i | 0.431072 | + | 0.441942i | ||||
\(574\) | −22506.8 | − | 123502.i | −0.0683108 | − | 0.374843i | ||||
\(575\) | − | 101308.i | − | 0.306414i | ||||||
\(576\) | 3139.60 | + | 331761.i | 0.00946301 | + | 0.999955i | ||||
\(577\) | −500884. | −1.50448 | −0.752238 | − | 0.658892i | \(-0.771026\pi\) | ||||
−0.752238 | + | 0.658892i | \(0.771026\pi\) | |||||||
\(578\) | 11227.7 | − | 2046.12i | 0.0336074 | − | 0.00612456i | ||||
\(579\) | −158447. | − | 44577.3i | −0.472636 | − | 0.132971i | ||||
\(580\) | −202865. | + | 76479.5i | −0.603047 | + | 0.227347i | ||||
\(581\) | −6650.54 | + | 11519.1i | −0.0197017 | + | 0.0341244i | ||||
\(582\) | −251129. | + | 353566.i | −0.741398 | + | 1.04382i | ||||
\(583\) | −268867. | + | 155230.i | −0.791043 | + | 0.456709i | ||||
\(584\) | 118671. | − | 71261.2i | 0.347953 | − | 0.208943i | ||||
\(585\) | −28265.2 | − | 17271.2i | −0.0825924 | − | 0.0504675i | ||||
\(586\) | −119327. | + | 333783.i | −0.347490 | + | 0.972007i | ||||
\(587\) | 498580. | − | 287855.i | 1.44697 | − | 0.835406i | 0.448666 | − | 0.893699i | \(-0.351899\pi\) |
0.998300 | + | 0.0582932i | \(0.0185658\pi\) | |||||||
\(588\) | −324090. | + | 28029.1i | −0.937371 | + | 0.0810688i | ||||
\(589\) | −34453.5 | + | 59675.2i | −0.0993122 | + | 0.172014i | ||||
\(590\) | −95296.8 | + | 80898.1i | −0.273763 | + | 0.232399i | ||||
\(591\) | 80621.3 | + | 316598.i | 0.230821 | + | 0.906429i | ||||
\(592\) | −292524. | + | 257103.i | −0.834676 | + | 0.733607i | ||||
\(593\) | −138143. | −0.392843 | −0.196421 | − | 0.980520i | \(-0.562932\pi\) | ||||
−0.196421 | + | 0.980520i | \(0.562932\pi\) | |||||||
\(594\) | −635217. | − | 75879.2i | −1.80032 | − | 0.215055i | ||||
\(595\) | − | 37332.6i | − | 0.105452i | ||||||
\(596\) | −67375.1 | + | 409477.i | −0.189674 | + | 1.15275i | ||||
\(597\) | 412852. | − | 105132.i | 1.15837 | − | 0.294976i | ||||
\(598\) | 22753.7 | − | 19315.8i | 0.0636282 | − | 0.0540144i | ||||
\(599\) | 165665. | + | 95646.9i | 0.461719 | + | 0.266574i | 0.712767 | − | 0.701401i | \(-0.247442\pi\) |
−0.251048 | + | 0.967975i | \(0.580775\pi\) | |||||||
\(600\) | 73706.7 | − | 280377.i | 0.204741 | − | 0.778825i | ||||
\(601\) | 203120. | + | 351814.i | 0.562346 | + | 0.974012i | 0.997291 | + | 0.0735551i | \(0.0234345\pi\) |
−0.434945 | + | 0.900457i | \(0.643232\pi\) | |||||||
\(602\) | 641.112 | − | 1793.33i | 0.00176905 | − | 0.00494843i | ||||
\(603\) | 75354.6 | + | 1876.80i | 0.207241 | + | 0.00516158i | ||||
\(604\) | −288031. | + | 351358.i | −0.789524 | + | 0.963110i | ||||
\(605\) | 184722. | + | 319948.i | 0.504671 | + | 0.874117i | ||||
\(606\) | 199193. | − | 280445.i | 0.542411 | − | 0.763664i | ||||
\(607\) | −59466.9 | − | 34333.2i | −0.161398 | − | 0.0931831i | 0.417126 | − | 0.908849i | \(-0.363038\pi\) |
−0.578523 | + | 0.815666i | \(0.696371\pi\) | |||||||
\(608\) | −36526.5 | − | 28908.2i | −0.0988100 | − | 0.0782014i | ||||
\(609\) | 35672.9 | − | 126797.i | 0.0961841 | − | 0.341880i | ||||
\(610\) | 228225. | − | 41591.4i | 0.613344 | − | 0.111775i | ||||
\(611\) | − | 106942.i | − | 0.286461i | ||||||
\(612\) | −240374. | + | 278767.i | −0.641779 | + | 0.744284i | ||||
\(613\) | −572114. | −1.52252 | −0.761258 | − | 0.648450i | \(-0.775418\pi\) | ||||
−0.761258 | + | 0.648450i | \(0.775418\pi\) | |||||||
\(614\) | −88529.3 | − | 485788.i | −0.234828 | − | 1.28858i | ||||
\(615\) | −187203. | + | 182599.i | −0.494951 | + | 0.482778i | ||||
\(616\) | 2874.39 | + | 167274.i | 0.00757504 | + | 0.440825i | ||||
\(617\) | −10190.4 | + | 17650.3i | −0.0267684 | + | 0.0463642i | −0.879099 | − | 0.476639i | \(-0.841855\pi\) |
0.852331 | + | 0.523003i | \(0.175188\pi\) | |||||||
\(618\) | 38866.0 | − | 412296.i | 0.101764 | − | 1.07952i | ||||
\(619\) | −388604. | + | 224361.i | −1.01421 | + | 0.585552i | −0.912420 | − | 0.409254i | \(-0.865789\pi\) |
−0.101786 | + | 0.994806i | \(0.532456\pi\) | |||||||
\(620\) | −169501. | + | 206768.i | −0.440951 | + | 0.537899i | ||||
\(621\) | 32659.1 | + | 143057.i | 0.0846878 | + | 0.370959i | ||||
\(622\) | −228038. | − | 81523.2i | −0.589423 | − | 0.210717i | ||||
\(623\) | 69546.0 | − | 40152.4i | 0.179183 | − | 0.103451i | ||||
\(624\) | 77025.5 | − | 36903.2i | 0.197818 | − | 0.0947752i | ||||
\(625\) | −88627.6 | + | 153508.i | −0.226887 | + | 0.392979i | ||||
\(626\) | −135610. | − | 159747.i | −0.346053 | − | 0.407646i | ||||
\(627\) | 64297.8 | − | 62716.3i | 0.163554 | − | 0.159531i | ||||
\(628\) | 14340.3 | − | 87154.1i | 0.0363612 | − | 0.220988i | ||||
\(629\) | −432079. | −1.09210 | ||||||||
\(630\) | −26744.3 | − | 33142.8i | −0.0673829 | − | 0.0835042i | ||||
\(631\) | − | 402529.i | − | 1.01097i | −0.862835 | − | 0.505486i | \(-0.831313\pi\) | ||
0.862835 | − | 0.505486i | \(-0.168687\pi\) | |||||||
\(632\) | 232369. | − | 418937.i | 0.581760 | − | 1.04885i | ||||
\(633\) | −113316. | + | 402775.i | −0.282804 | + | 1.00521i | ||||
\(634\) | −67298.3 | − | 79276.4i | −0.167427 | − | 0.197227i | ||||
\(635\) | 253646. | + | 146443.i | 0.629043 | + | 0.363178i | ||||
\(636\) | 116716. | + | 167042.i | 0.288547 | + | 0.412963i | ||||
\(637\) | 41871.2 | + | 72523.0i | 0.103190 | + | 0.178730i | ||||
\(638\) | 1.01499e6 | + | 362856.i | 2.49356 | + | 0.891441i | ||||
\(639\) | −45046.0 | − | 82711.9i | −0.110320 | − | 0.202566i | ||||
\(640\) | −121634. | − | 133688.i | −0.296959 | − | 0.326387i | ||||
\(641\) | −176906. | − | 306411.i | −0.430554 | − | 0.745741i | 0.566367 | − | 0.824153i | \(-0.308348\pi\) |
−0.996921 | + | 0.0784117i | \(0.975015\pi\) | |||||||
\(642\) | 216098. | − | 99004.8i | 0.524301 | − | 0.240207i | ||||
\(643\) | 227886. | + | 131570.i | 0.551184 | + | 0.318226i | 0.749599 | − | 0.661892i | \(-0.230246\pi\) |
−0.198415 | + | 0.980118i | \(0.563580\pi\) | |||||||
\(644\) | 35906.8 | − | 13536.8i | 0.0865775 | − | 0.0326395i | ||||
\(645\) | −3844.63 | + | 979.028i | −0.00924134 | + | 0.00235329i | ||||
\(646\) | −9265.58 | − | 50843.2i | −0.0222028 | − | 0.121834i | ||||
\(647\) | 265174.i | 0.633464i | 0.948515 | + | 0.316732i | \(0.102586\pi\) | ||||
−0.948515 | + | 0.316732i | \(0.897414\pi\) | |||||||
\(648\) | −13694.8 | + | 419681.i | −0.0326142 | + | 0.999468i | ||||
\(649\) | 621494. | 1.47553 | ||||||||
\(650\) | −73420.8 | + | 13380.1i | −0.173777 | + | 0.0316689i | ||||
\(651\) | −40085.5 | − | 157415.i | −0.0945856 | − | 0.371436i | ||||
\(652\) | 2298.77 | + | 6097.57i | 0.00540754 | + | 0.0143437i | ||||
\(653\) | 2938.96 | − | 5090.43i | 0.00689235 | − | 0.0119379i | −0.862559 | − | 0.505957i | \(-0.831139\pi\) |
0.869451 | + | 0.494019i | \(0.164473\pi\) | |||||||
\(654\) | −180614. | − | 394225.i | −0.422274 | − | 0.921699i | ||||
\(655\) | −12607.4 | + | 7278.87i | −0.0293861 | + | 0.0169661i | ||||
\(656\) | −132270. | − | 661190.i | −0.307365 | − | 1.53645i | ||||
\(657\) | 153855. | − | 83791.4i | 0.356435 | − | 0.194119i | ||||
\(658\) | 46285.0 | − | 129470.i | 0.106903 | − | 0.299031i | ||||
\(659\) | −480334. | + | 277321.i | −1.10604 | + | 0.638575i | −0.937802 | − | 0.347171i | \(-0.887142\pi\) |
−0.168242 | + | 0.985746i | \(0.553809\pi\) | |||||||
\(660\) | 285679. | − | 199611.i | 0.655829 | − | 0.458244i | ||||
\(661\) | 410614. | − | 711204.i | 0.939789 | − | 1.62776i | 0.173926 | − | 0.984759i | \(-0.444355\pi\) |
0.765863 | − | 0.643004i | \(-0.222312\pi\) | |||||||
\(662\) | 131829. | − | 111910.i | 0.300812 | − | 0.255361i | ||||
\(663\) | 91216.8 | + | 25662.8i | 0.207514 | + | 0.0583818i | ||||
\(664\) | −34653.7 | + | 62477.0i | −0.0785984 | + | 0.141705i | ||||
\(665\) | 5979.36 | 0.0135211 | ||||||||
\(666\) | −383588. | + | 309532.i | −0.864801 | + | 0.697842i | ||||
\(667\) | − | 247241.i | − | 0.555736i | ||||||
\(668\) | 374845. | + | 61676.8i | 0.840039 | + | 0.138219i | ||||
\(669\) | 519065. | + | 532153.i | 1.15976 | + | 1.18901i | ||||
\(670\) | −31304.9 | + | 26574.9i | −0.0697368 | + | 0.0592001i | ||||
\(671\) | −998855. | − | 576689.i | −2.21849 | − | 1.28085i | ||||
\(672\) | 109223. | − | 11339.9i | 0.241867 | − | 0.0251114i | ||||
\(673\) | −258432. | − | 447618.i | −0.570580 | − | 0.988274i | −0.996506 | − | 0.0835158i | \(-0.973385\pi\) |
0.425926 | − | 0.904758i | \(-0.359948\pi\) | |||||||
\(674\) | 15960.1 | − | 44643.9i | 0.0351330 | − | 0.0982749i | ||||
\(675\) | 108131. | − | 350613.i | 0.237325 | − | 0.769522i | ||||
\(676\) | 336402. | + | 275770.i | 0.736148 | + | 0.603468i | ||||
\(677\) | 345343. | + | 598152.i | 0.753483 | + | 1.30507i | 0.946125 | + | 0.323801i | \(0.104961\pi\) |
−0.192642 | + | 0.981269i | \(0.561706\pi\) | |||||||
\(678\) | 133712. | + | 12604.7i | 0.290879 | + | 0.0274204i | ||||
\(679\) | 124307. | + | 71768.4i | 0.269621 | + | 0.155666i | ||||
\(680\) | −3445.26 | − | 200495.i | −0.00745083 | − | 0.433597i | ||||
\(681\) | −186652. | − | 191358.i | −0.402474 | − | 0.412623i | ||||
\(682\) | 1.30774e6 | − | 238321.i | 2.81160 | − | 0.512382i | ||||
\(683\) | 764551.i | 1.63895i | 0.573117 | + | 0.819474i | \(0.305734\pi\) | ||||
−0.573117 | + | 0.819474i | \(0.694266\pi\) | |||||||
\(684\) | −44648.7 | − | 38499.5i | −0.0954325 | − | 0.0822892i | ||||
\(685\) | 284757. | 0.606868 | ||||||||
\(686\) | 39819.4 | + | 218502.i | 0.0846148 | + | 0.464308i | ||||
\(687\) | −392775. | − | 110503.i | −0.832204 | − | 0.234131i | ||||
\(688\) | 3277.60 | − | 9690.27i | 0.00692435 | − | 0.0204719i | ||||
\(689\) | 26229.4 | − | 45430.7i | 0.0552523 | − | 0.0956998i | ||||
\(690\) | −65171.8 | − | 46289.8i | −0.136887 | − | 0.0972271i | ||||
\(691\) | −278107. | + | 160565.i | −0.582445 | + | 0.336275i | −0.762105 | − | 0.647454i | \(-0.775834\pi\) |
0.179659 | + | 0.983729i | \(0.442500\pi\) | |||||||
\(692\) | 34974.2 | + | 28670.6i | 0.0730358 | + | 0.0598722i | ||||
\(693\) | −5271.92 | + | 211671.i | −0.0109775 | + | 0.440753i | ||||
\(694\) | 109698. | + | 39216.9i | 0.227762 | + | 0.0814244i | ||||
\(695\) | −125516. | + | 72466.4i | −0.259853 | + | 0.150026i | ||||
\(696\) | 179880. | − | 684255.i | 0.371334 | − | 1.41254i | ||||
\(697\) | 374048. | − | 647870.i | 0.769949 | − | 1.33359i | ||||
\(698\) | 310579. | + | 365858.i | 0.637472 | + | 0.750933i | ||||
\(699\) | 113116. | + | 444205.i | 0.231510 | + | 0.909137i | ||||
\(700\) | −94678.2 | − | 15578.3i | −0.193221 | − | 0.0317925i | ||||
\(701\) | −621799. | −1.26536 | −0.632680 | − | 0.774413i | \(-0.718045\pi\) | ||||
−0.632680 | + | 0.774413i | \(0.718045\pi\) | |||||||
\(702\) | 99364.0 | − | 42563.0i | 0.201630 | − | 0.0863690i | ||||
\(703\) | − | 69203.8i | − | 0.140029i | ||||||
\(704\) | 30873.9 | + | 898079.i | 0.0622940 | + | 1.81205i | ||||
\(705\) | −277563. | + | 70680.9i | −0.558448 | + | 0.142208i | ||||
\(706\) | 400616. | + | 471920.i | 0.803745 | + | 0.946801i | ||||
\(707\) | −98598.6 | − | 56925.9i | −0.197257 | − | 0.113886i | ||||
\(708\) | −35149.0 | − | 406415.i | −0.0701207 | − | 0.810781i | ||||
\(709\) | 262435. | + | 454550.i | 0.522070 | + | 0.904252i | 0.999670 | + | 0.0256748i | \(0.00817343\pi\) |
−0.477600 | + | 0.878577i | \(0.658493\pi\) | |||||||
\(710\) | 48313.4 | + | 17271.9i | 0.0958409 | + | 0.0342629i | ||||
\(711\) | 316138. | − | 517375.i | 0.625371 | − | 1.02345i | ||||
\(712\) | 369792. | − | 222057.i | 0.729454 | − | 0.438031i | ||||
\(713\) | −152451. | − | 264053.i | −0.299882 | − | 0.519412i | ||||
\(714\) | 99325.0 | + | 70548.0i | 0.194833 | + | 0.138385i | ||||
\(715\) | −77696.8 | − | 44858.2i | −0.151982 | − | 0.0877466i | ||||
\(716\) | −258184. | − | 684843.i | −0.503620 | − | 1.33587i | ||||
\(717\) | −89912.4 | + | 319588.i | −0.174897 | + | 0.621658i | ||||
\(718\) | −47933.5 | − | 263026.i | −0.0929801 | − | 0.510211i | ||||
\(719\) | 348658.i | 0.674438i | 0.941426 | + | 0.337219i | \(0.109486\pi\) | ||||
−0.941426 | + | 0.337219i | \(0.890514\pi\) | |||||||
\(720\) | −146689. | − | 175526.i | −0.282965 | − | 0.338591i | ||||
\(721\) | −137065. | −0.263668 | ||||||||
\(722\) | −504694. | + | 91974.7i | −0.968175 | + | 0.176439i | ||||
\(723\) | 54036.7 | − | 52707.6i | 0.103374 | − | 0.100832i | ||||
\(724\) | −362701. | + | 136737.i | −0.691944 | + | 0.260861i | ||||
\(725\) | −309106. | + | 535387.i | −0.588073 | + | 1.01857i | ||||
\(726\) | −1.20031e6 | − | 113150.i | −2.27730 | − | 0.214675i | ||||
\(727\) | −523789. | + | 302410.i | −0.991032 | + | 0.572173i | −0.905583 | − | 0.424170i | \(-0.860566\pi\) |
−0.0854497 | + | 0.996342i | \(0.527233\pi\) | |||||||
\(728\) | −14552.8 | − | 24234.8i | −0.0274590 | − | 0.0457275i | ||||
\(729\) | −39663.4 | + | 529959.i | −0.0746336 | + | 0.997211i | ||||
\(730\) | −32128.0 | + | 89869.2i | −0.0602890 | + | 0.168642i | ||||
\(731\) | 9828.75 | − | 5674.63i | 0.0183935 | − | 0.0106195i | ||||
\(732\) | −320625. | + | 685799.i | −0.598378 | + | 1.27990i | ||||
\(733\) | 237805. | − | 411891.i | 0.442602 | − | 0.766609i | −0.555280 | − | 0.831664i | \(-0.687389\pi\) |
0.997882 | + | 0.0650546i | \(0.0207222\pi\) | |||||||
\(734\) | −288386. | + | 244813.i | −0.535282 | + | 0.454404i | ||||
\(735\) | 160556. | − | 156607.i | 0.297203 | − | 0.289893i | ||||
\(736\) | 191589. | − | 76013.1i | 0.353683 | − | 0.140324i | ||||
\(737\) | 204160. | 0.375868 | ||||||||
\(738\) | −132051. | − | 843121.i | −0.242453 | − | 1.54802i | ||||
\(739\) | − | 844449.i | − | 1.54627i | −0.634244 | − | 0.773133i | \(-0.718688\pi\) | ||
0.634244 | − | 0.773133i | \(-0.281312\pi\) | |||||||
\(740\) | 43595.3 | − | 264954.i | 0.0796116 | − | 0.483845i | ||||
\(741\) | −4110.28 | + | 14609.7i | −0.00748574 | + | 0.0266076i | ||||
\(742\) | 51417.4 | − | 43648.6i | 0.0933905 | − | 0.0792798i | ||||
\(743\) | 537216. | + | 310162.i | 0.973131 | + | 0.561837i | 0.900189 | − | 0.435499i | \(-0.143428\pi\) |
0.0729415 | + | 0.997336i | \(0.476761\pi\) | |||||||
\(744\) | −229806. | − | 841699.i | −0.415161 | − | 1.52059i | ||||
\(745\) | −143060. | − | 247787.i | −0.257754 | − | 0.446443i | ||||
\(746\) | −243804. | + | 681974.i | −0.438090 | + | 1.22543i | ||||
\(747\) | −47146.4 | + | 77157.3i | −0.0844905 | + | 0.138273i | ||||
\(748\) | −632049. | + | 771013.i | −1.12966 | + | 1.37803i | ||||
\(749\) | −39336.3 | − | 68132.4i | −0.0701180 | − | 0.121448i | ||||
\(750\) | 186637. | + | 407373.i | 0.331799 | + | 0.724218i | ||||
\(751\) | 632847. | + | 365374.i | 1.12207 | + | 0.647825i | 0.941928 | − | 0.335816i | \(-0.109012\pi\) |
0.180139 | + | 0.983641i | \(0.442345\pi\) | |||||||
\(752\) | 236626. | − | 699589.i | 0.418434 | − | 1.23711i | ||||
\(753\) | 12868.5 | − | 3276.95i | 0.0226955 | − | 0.00577936i | ||||
\(754\) | −179182. | + | 32653.9i | −0.315176 | + | 0.0574371i | ||||
\(755\) | − | 313247.i | − | 0.549533i | ||||||
\(756\) | 138717. | − | 8523.71i | 0.242709 | − | 0.0149137i | ||||
\(757\) | −769023. | −1.34198 | −0.670992 | − | 0.741465i | \(-0.734132\pi\) | ||||
−0.670992 | + | 0.741465i | \(0.734132\pi\) | |||||||
\(758\) | 36711.5 | + | 201447.i | 0.0638945 | + | 0.350609i | ||||
\(759\) | 98076.6 | + | 385145.i | 0.170248 | + | 0.668560i | ||||
\(760\) | 32112.2 | − | 551.810i | 0.0555960 | − | 0.000955349i | ||||
\(761\) | −137697. | + | 238498.i | −0.237769 | + | 0.411828i | −0.960074 | − | 0.279747i | \(-0.909749\pi\) |
0.722305 | + | 0.691575i | \(0.243083\pi\) | |||||||
\(762\) | −868935. | + | 398101.i | −1.49650 | + | 0.685620i | ||||
\(763\) | −124293. | + | 71760.8i | −0.213500 | + | 0.123264i | ||||
\(764\) | 228452. | − | 278680.i | 0.391389 | − | 0.477441i | ||||
\(765\) | 6318.96 | − | 253710.i | 0.0107975 | − | 0.433526i | ||||
\(766\) | −574654. | − | 205437.i | −0.979375 | − | 0.350124i | ||||
\(767\) | −90945.2 | + | 52507.2i | −0.154593 | + | 0.0892541i | ||||
\(768\) | 585537. | − | 70980.9i | 0.992732 | − | 0.120342i | ||||
\(769\) | 26421.1 | − | 45762.6i | 0.0446784 | − | 0.0773853i | −0.842821 | − | 0.538193i | \(-0.819107\pi\) |
0.887500 | + | 0.460808i | \(0.152440\pi\) | |||||||
\(770\) | −74649.0 | − | 87935.4i | −0.125905 | − | 0.148314i | ||||
\(771\) | −300396. | − | 84513.0i | −0.505341 | − | 0.142172i | ||||
\(772\) | −47508.6 | + | 288737.i | −0.0797145 | + | 0.484471i | ||||
\(773\) | −195309. | −0.326861 | −0.163430 | − | 0.986555i | \(-0.552256\pi\) | ||||
−0.163430 | + | 0.986555i | \(0.552256\pi\) | |||||||
\(774\) | 4660.50 | − | 12078.9i | 0.00777949 | − | 0.0201625i | ||||
\(775\) | 762389.i | 1.26933i | ||||||||
\(776\) | 674213. | + | 373961.i | 1.11963 | + | 0.621017i | ||||
\(777\) | 113911. | + | 116783.i | 0.188679 | + | 0.193437i | ||||
\(778\) | 175761. | + | 207045.i | 0.290379 | + | 0.342062i | ||||
\(779\) | 103766. | + | 59909.3i | 0.170994 | + | 0.0987232i | ||||
\(780\) | −24940.1 | + | 53345.4i | −0.0409929 | + | 0.0876815i | ||||
\(781\) | −127546. | − | 220917.i | −0.209106 | − | 0.362182i | ||||
\(782\) | 215331. | + | 76980.4i | 0.352122 | + | 0.125883i | ||||
\(783\) | 263893. | − | 855666.i | 0.430431 | − | 1.39566i | ||||
\(784\) | 113443. | + | 567076.i | 0.184563 | + | 0.922590i | ||||
\(785\) | 30449.2 | + | 52739.6i | 0.0494125 | + | 0.0855849i | ||||
\(786\) | 4458.60 | − | 47297.4i | 0.00721695 | − | 0.0765583i | ||||
\(787\) | 677438. | + | 391119.i | 1.09375 | + | 0.631480i | 0.934574 | − | 0.355770i | \(-0.115781\pi\) |
0.159181 | + | 0.987249i | \(0.449115\pi\) | |||||||
\(788\) | 543466. | − | 204885.i | 0.875225 | − | 0.329958i | ||||
\(789\) | 119604. | + | 122620.i | 0.192128 | + | 0.196973i | ||||
\(790\) | 59218.6 | + | 324951.i | 0.0948864 | + | 0.520672i | ||||
\(791\) | − | 44451.9i | − | 0.0710456i | ||||||
\(792\) | −8778.69 | + | 1.13727e6i | −0.0139952 | + | 1.81306i | ||||
\(793\) | 194887. | 0.309911 | ||||||||
\(794\) | 496176. | − | 90422.3i | 0.787036 | − | 0.143428i | ||||
\(795\) | −135249. | − | 38050.9i | −0.213993 | − | 0.0602047i | ||||
\(796\) | −267176. | − | 708694.i | −0.421668 | − | 1.11849i | ||||
\(797\) | 586714. | − | 1.01622e6i | 0.923655 | − | 1.59982i | 0.129944 | − | 0.991521i | \(-0.458520\pi\) |
0.793711 | − | 0.608296i | \(-0.208146\pi\) | |||||||
\(798\) | −11299.3 | + | 15908.3i | −0.0177438 | + | 0.0249815i | ||||
\(799\) | 709586. | − | 409680.i | 1.11151 | − | 0.641728i | ||||
\(800\) | −509908. | − | 74926.0i | −0.796731 | − | 0.117072i | ||||
\(801\) | 479427. | − | 261102.i | 0.747236 | − | 0.406954i | ||||
\(802\) | 95456.6 | − | 267013.i | 0.148408 | − | 0.415130i | ||||
\(803\) | 410934. | − | 237253.i | 0.637295 | − | 0.367943i | ||||
\(804\) | −11546.4 | − | 133507.i | −0.0178622 | − | 0.206534i | ||||
\(805\) | −13228.8 | + | 22913.0i | −0.0204141 | + | 0.0353583i | ||||
\(806\) | −171232. | + | 145360.i | −0.263581 | + | 0.223756i | ||||
\(807\) | 130424. | + | 512172.i | 0.200267 | + | 0.786445i | ||||
\(808\) | −534778. | − | 296622.i | −0.819126 | − | 0.454340i | ||||
\(809\) | −421614. | −0.644196 | −0.322098 | − | 0.946706i | \(-0.604388\pi\) | ||||
−0.322098 | + | 0.946706i | \(0.604388\pi\) | |||||||
\(810\) | −176143. | − | 229764.i | −0.268469 | − | 0.350196i | ||||
\(811\) | − | 504037.i | − | 0.766339i | −0.923678 | − | 0.383169i | \(-0.874833\pi\) | ||
0.923678 | − | 0.383169i | \(-0.125167\pi\) | |||||||
\(812\) | −231061. | − | 38018.6i | −0.350440 | − | 0.0576612i | ||||
\(813\) | −274506. | + | 69902.6i | −0.415309 | + | 0.105758i | ||||
\(814\) | −1.01774e6 | + | 863970.i | −1.53600 | + | 1.30392i | ||||
\(815\) | −3891.01 | − | 2246.48i | −0.00585797 | − | 0.00338210i | ||||
\(816\) | 539936. | + | 369712.i | 0.810890 | + | 0.555244i | ||||
\(817\) | 908.875 | + | 1574.22i | 0.00136163 | + | 0.00235842i | ||||
\(818\) | 58633.6 | − | 164011.i | 0.0876275 | − | 0.245113i | ||||
\(819\) | −17111.7 | − | 31419.9i | −0.0255109 | − | 0.0468422i | ||||
\(820\) | 359538. | + | 294737.i | 0.534709 | + | 0.438335i | ||||
\(821\) | 35777.1 | + | 61967.7i | 0.0530785 | + | 0.0919346i | 0.891344 | − | 0.453328i | \(-0.149763\pi\) |
−0.838265 | + | 0.545262i | \(0.816430\pi\) | |||||||
\(822\) | −538110. | + | 757609.i | −0.796394 | + | 1.12125i | ||||
\(823\) | −703826. | − | 406354.i | −1.03912 | − | 0.599936i | −0.119536 | − | 0.992830i | \(-0.538141\pi\) |
−0.919584 | + | 0.392893i | \(0.871474\pi\) | |||||||
\(824\) | −736111. | + | 12649.2i | −1.08415 | + | 0.0186298i | ||||
\(825\) | 269137. | − | 956628.i | 0.395426 | − | 1.40551i | ||||
\(826\) | −132829. | + | 24206.5i | −0.194685 | + | 0.0354790i | ||||
\(827\) | − | 375951.i | − | 0.549693i | −0.961488 | − | 0.274847i | \(-0.911373\pi\) | ||
0.961488 | − | 0.274847i | \(-0.0886271\pi\) | |||||||
\(828\) | 246312. | − | 85917.6i | 0.359273 | − | 0.125320i | ||||
\(829\) | 423699. | 0.616522 | 0.308261 | − | 0.951302i | \(-0.400253\pi\) | ||||
0.308261 | + | 0.951302i | \(0.400253\pi\) | |||||||
\(830\) | −8831.40 | − | 48460.7i | −0.0128196 | − | 0.0703450i | ||||
\(831\) | 428643. | − | 418100.i | 0.620717 | − | 0.605449i | ||||
\(832\) | −80392.5 | − | 128810.i | −0.116137 | − | 0.186082i | ||||
\(833\) | −320806. | + | 555652.i | −0.462330 | + | 0.800779i | ||||
\(834\) | 44388.6 | − | 470880.i | 0.0638175 | − | 0.676984i | ||||
\(835\) | −226830. | + | 130961.i | −0.325333 | + | 0.187831i | ||||
\(836\) | −123489. | − | 101232.i | −0.176691 | − | 0.144845i | ||||
\(837\) | −245774. | − | 1.07657e6i | −0.350821 | − | 1.53671i | ||||
\(838\) | 793234. | + | 283579.i | 1.12957 | + | 0.403819i | ||||
\(839\) | 959899. | − | 554198.i | 1.36365 | − | 0.787302i | 0.373539 | − | 0.927614i | \(-0.378144\pi\) |
0.990107 | + | 0.140313i | \(0.0448108\pi\) | |||||||
\(840\) | −53282.0 | + | 53788.7i | −0.0755131 | + | 0.0762311i | ||||
\(841\) | −400727. | + | 694079.i | −0.566573 | + | 0.981334i | ||||
\(842\) | 217773. | + | 256534.i | 0.307171 | + | 0.361843i | ||||
\(843\) | −797090. | + | 777485.i | −1.12164 | + | 1.09405i | ||||
\(844\) | 733974. | + | 120768.i | 1.03038 | + | 0.169537i | ||||
\(845\) | −299914. | −0.420032 | ||||||||
\(846\) | 336465. | − | 872034.i | 0.470109 | − | 1.21841i | ||||
\(847\) | 399036.i | 0.556218i | ||||||||
\(848\) | 272110. | − | 239160.i | 0.378401 | − | 0.332581i | ||||
\(849\) | −133412. | + | 474205.i | −0.185089 | + | 0.657886i | ||||
\(850\) | −370046. | − | 435909.i | −0.512174 | − | 0.603334i | ||||
\(851\) | 265190. | + | 153108.i | 0.366183 | + | 0.211416i | ||||
\(852\) | −137251. | + | 95900.8i | −0.189076 | + | 0.132112i | ||||
\(853\) | 254659. | + | 441083.i | 0.349995 | + | 0.606209i | 0.986248 | − | 0.165272i | \(-0.0528501\pi\) |
−0.636253 | + | 0.771480i | \(0.719517\pi\) | |||||||
\(854\) | 235941. | + | 84348.4i | 0.323510 | + | 0.115654i | ||||
\(855\) | 40635.4 | + | 1012.07i | 0.0555869 | + | 0.00138446i | ||||
\(856\) | −217543. | − | 362276.i | −0.296892 | − | 0.494415i | ||||
\(857\) | 328394. | + | 568795.i | 0.447130 | + | 0.774452i | 0.998198 | − | 0.0600088i | \(-0.0191129\pi\) |
−0.551068 | + | 0.834460i | \(0.685780\pi\) | |||||||
\(858\) | 266172. | − | 121946.i | 0.361566 | − | 0.165651i | ||||
\(859\) | −916830. | − | 529332.i | −1.24252 | − | 0.717368i | −0.272912 | − | 0.962039i | \(-0.587987\pi\) |
−0.969606 | + | 0.244671i | \(0.921320\pi\) | |||||||
\(860\) | 2488.03 | + | 6599.60i | 0.00336403 | + | 0.00892321i | ||||
\(861\) | −273720. | + | 69702.4i | −0.369233 | + | 0.0940246i | ||||
\(862\) | −107631. | − | 590603.i | −0.144851 | − | 0.794842i | ||||
\(863\) | − | 676878.i | − | 0.908844i | −0.890787 | − | 0.454422i | \(-0.849846\pi\) | ||
0.890787 | − | 0.454422i | \(-0.150154\pi\) | |||||||
\(864\) | 744194. | − | 58578.3i | 0.996916 | − | 0.0784710i | ||||
\(865\) | −31180.7 | −0.0416729 | ||||||||
\(866\) | −280270. | + | 51076.0i | −0.373716 | + | 0.0681053i | ||||
\(867\) | −6336.73 | − | 24884.2i | −0.00842999 | − | 0.0331044i | ||||
\(868\) | −270215. | + | 101870.i | −0.358649 | + | 0.135210i | ||||
\(869\) | 821100. | − | 1.42219e6i | 1.08732 | − | 1.88329i | ||||
\(870\) | 203179. | + | 443478.i | 0.268435 | + | 0.585913i | ||||
\(871\) | −29875.4 | + | 17248.6i | −0.0393801 | + | 0.0227361i | ||||
\(872\) | −660896. | + | 396862.i | −0.869161 | + | 0.521924i | ||||
\(873\) | 832633. | + | 508775.i | 1.09251 | + | 0.667570i | ||||
\(874\) | −12329.5 | + | 34488.5i | −0.0161408 | + | 0.0451493i | ||||
\(875\) | 128438. | − | 74154.0i | 0.167756 | − | 0.0968541i | ||||
\(876\) | −178388. | − | 255305.i | −0.232465 | − | 0.332699i | ||||
\(877\) | −737914. | + | 1.27810e6i | −0.959415 | + | 1.66176i | −0.235490 | + | 0.971877i | \(0.575669\pi\) |
−0.723925 | + | 0.689879i | \(0.757664\pi\) | |||||||
\(878\) | −333133. | + | 282799.i | −0.432144 | + | 0.366850i | ||||
\(879\) | 767755. | + | 215999.i | 0.993677 | + | 0.279560i | ||||
\(880\) | −409018. | − | 465369.i | −0.528175 | − | 0.600942i | ||||
\(881\) | 599513. | 0.772408 | 0.386204 | − | 0.922413i | \(-0.373786\pi\) | ||||
0.386204 | + | 0.922413i | \(0.373786\pi\) | |||||||
\(882\) | 113254. | + | 723110.i | 0.145586 | + | 0.929538i | ||||
\(883\) | − | 729187.i | − | 0.935229i | −0.883933 | − | 0.467614i | \(-0.845114\pi\) | ||
0.883933 | − | 0.467614i | \(-0.154886\pi\) | |||||||
\(884\) | 27350.3 | − | 166224.i | 0.0349992 | − | 0.212710i | ||||
\(885\) | 196388. | + | 201341.i | 0.250743 | + | 0.257066i | ||||
\(886\) | 703369. | − | 597094.i | 0.896015 | − | 0.760634i | ||||
\(887\) | −1.26218e6 | − | 728722.i | −1.60426 | − | 0.926221i | −0.990621 | − | 0.136636i | \(-0.956371\pi\) |
−0.613641 | − | 0.789585i | \(-0.710296\pi\) | |||||||
\(888\) | 622538. | + | 616674.i | 0.789477 | + | 0.782041i | ||||
\(889\) | 158172. | + | 273962.i | 0.200137 | + | 0.346647i | ||||
\(890\) | −100114. | + | 280041.i | −0.126391 | + | 0.353543i | ||||
\(891\) | −71655.4 | + | 1.43761e6i | −0.0902596 | + | 1.81087i | ||||
\(892\) | 837834. | − | 1.02204e6i | 1.05300 | − | 1.28452i | ||||
\(893\) | 65616.2 | + | 113651.i | 0.0822826 | + | 0.142518i | ||||
\(894\) | 929590. | + | 87630.0i | 1.16310 | + | 0.109642i | ||||
\(895\) | 437015. | + | 252311.i | 0.545570 | + | 0.314985i | ||||
\(896\) | −41577.7 | − | 190739.i | −0.0517898 | − | 0.237588i | ||||
\(897\) | −46891.0 | − | 48073.4i | −0.0582780 | − | 0.0597476i | ||||
\(898\) | 38374.5 | − | 6993.32i | 0.0475872 | − | 0.00867223i | ||||
\(899\) | 1.86060e6i | 2.30215i | ||||||||
\(900\) | −640792. | − | 121895.i | −0.791101 | − | 0.150487i | ||||
\(901\) | 401926. | 0.495104 | ||||||||
\(902\) | −414404. | − | 2.27397e6i | −0.509344 | − | 2.79493i | ||||
\(903\) | −4124.95 | − | 1160.51i | −0.00505875 | − | 0.00142322i | ||||
\(904\) | −4102.27 | − | 238729.i | −0.00501981 | − | 0.292125i | ||||
\(905\) | 133627. | − | 231448.i | 0.163153 | − | 0.282590i | ||||
\(906\) | 833408. | + | 591948.i | 1.01532 | + | 0.721153i | ||||
\(907\) | −3010.76 | + | 1738.27i | −0.00365984 | + | 0.00211301i | −0.501829 | − | 0.864967i | \(-0.667339\pi\) |
0.498169 | + | 0.867080i | \(0.334006\pi\) | |||||||
\(908\) | −301279. | + | 367519.i | −0.365424 | + | 0.445767i | ||||
\(909\) | −660435. | − | 403554.i | −0.799287 | − | 0.488399i | ||||
\(910\) | 18352.9 | + | 6561.11i | 0.0221627 | + | 0.00792309i | ||||
\(911\) | −712683. | + | 411468.i | −0.858736 | + | 0.495791i | −0.863589 | − | 0.504197i | \(-0.831789\pi\) |
0.00485282 | + | 0.999988i | \(0.498455\pi\) | |||||||
\(912\) | −59214.9 | + | 86478.7i | −0.0711936 | + | 0.103973i | ||||
\(913\) | −122453. | + | 212094.i | −0.146901 | + | 0.254441i | ||||
\(914\) | 171211. | + | 201685.i | 0.204946 | + | 0.241424i | ||||
\(915\) | −128807. | − | 505822.i | −0.153850 | − | 0.604164i | ||||
\(916\) | −117769. | + | 715750.i | −0.140359 | + | 0.853042i | ||||
\(917\) | −15723.8 | −0.0186990 | ||||||||
\(918\) | 663066. | + | 496252.i | 0.786813 | + | 0.588867i | ||||
\(919\) | 873279.i | 1.03400i | 0.855984 | + | 0.517002i | \(0.172952\pi\) | ||||
−0.855984 | + | 0.517002i | \(0.827048\pi\) | |||||||
\(920\) | −68931.1 | + | 124276.i | −0.0814403 | + | 0.146828i | ||||
\(921\) | −1.07667e6 | + | 274171.i | −1.26929 | + | 0.323223i | ||||
\(922\) | −450398. | − | 530563.i | −0.529828 | − | 0.624130i | ||||
\(923\) | 37328.5 | + | 21551.6i | 0.0438164 | + | 0.0252974i | ||||
\(924\) | 375021. | − | 32433.8i | 0.439250 | − | 0.0379887i | ||||
\(925\) | −382837. | − | 663092.i | −0.447435 | − | 0.774980i | ||||
\(926\) | −655351. | − | 234286.i | −0.764279 | − | 0.273228i | ||||
\(927\) | −931489. | − | 23199.8i | −1.08397 | − | 0.0269976i | ||||
\(928\) | −1.24442e6 | − | 182856.i | −1.44501 | − | 0.212330i | ||||
\(929\) | −172980. | − | 299611.i | −0.200431 | − | 0.347157i | 0.748236 | − | 0.663433i | \(-0.230901\pi\) |
−0.948667 | + | 0.316275i | \(0.897568\pi\) | |||||||
\(930\) | 490447. | + | 348352.i | 0.567056 | + | 0.402765i | ||||
\(931\) | −88995.8 | − | 51381.7i | −0.102676 | − | 0.0592802i | ||||
\(932\) | 762513. | − | 287465.i | 0.877840 | − | 0.330943i | ||||
\(933\) | −147569. | + | 524525.i | −0.169525 | + | 0.602564i | ||||
\(934\) | −123413. | − | 677205.i | −0.141471 | − | 0.776295i | ||||
\(935\) | − | 687384.i | − | 0.786278i | ||||||
\(936\) | −94798.1 | − | 167162.i | −0.108205 | − | 0.190803i | ||||
\(937\) | −1.10958e6 | −1.26380 | −0.631901 | − | 0.775049i | \(-0.717725\pi\) | ||||
−0.631901 | + | 0.775049i | \(0.717725\pi\) | |||||||
\(938\) | −43634.0 | + | 7951.80i | −0.0495929 | + | 0.00903774i | ||||
\(939\) | −337509. | + | 329207.i | −0.382784 | + | 0.373369i | ||||
\(940\) | 179623. | + | 476458.i | 0.203286 | + | 0.539224i | ||||
\(941\) | −161271. | + | 279330.i | −0.182129 | + | 0.315456i | −0.942605 | − | 0.333909i | \(-0.891632\pi\) |
0.760477 | + | 0.649365i | \(0.224965\pi\) | |||||||
\(942\) | −197856. | − | 18651.4i | −0.222971 | − | 0.0210189i | ||||
\(943\) | −459147. | + | 265089.i | −0.516331 | + | 0.298104i | ||||
\(944\) | −711124. | + | 142259.i | −0.797997 | + | 0.159638i | ||||
\(945\) | −70239.4 | + | 65179.0i | −0.0786533 | + | 0.0729867i | ||||
\(946\) | 11804.4 | − | 33019.6i | 0.0131905 | − | 0.0368969i | ||||
\(947\) | −120742. | + | 69710.2i | −0.134635 | + | 0.0777314i | −0.565805 | − | 0.824539i | \(-0.691434\pi\) |
0.431170 | + | 0.902271i | \(0.358101\pi\) | |||||||
\(948\) | −976452. | − | 456511.i | −1.08651 | − | 0.507966i | ||||
\(949\) | −40088.8 | + | 69435.9i | −0.0445134 | + | 0.0770995i | ||||
\(950\) | 69817.2 | − | 59268.3i | 0.0773597 | − | 0.0656712i | ||||
\(951\) | −167493. | + | 163374.i | −0.185198 | + | 0.180643i | ||||
\(952\) | 105054. | − | 189402.i | 0.115915 | − | 0.208983i | ||||
\(953\) | 1.68438e6 | 1.85462 | 0.927308 | − | 0.374300i | \(-0.122117\pi\) | ||||
0.927308 | + | 0.374300i | \(0.122117\pi\) | |||||||
\(954\) | 356818. | − | 287931.i | 0.392058 | − | 0.316367i | ||||
\(955\) | 248453.i | 0.272419i | ||||||||
\(956\) | 582382. | + | 95824.8i | 0.637224 | + | 0.104848i | ||||
\(957\) | 656824. | − | 2.33463e6i | 0.717175 | − | 2.54915i | ||||
\(958\) | 665983. | − | 565357.i | 0.725658 | − | 0.616016i | ||||
\(959\) | 266360. | + | 153783.i | 0.289622 | + | 0.167213i | ||||
\(960\) | −281188. | + | 293790.i | −0.305108 | + | 0.318782i | ||||
\(961\) | 685501. | + | 1.18732e6i | 0.742269 | + | 1.28565i | ||||
\(962\) | 75936.8 | − | 212412.i | 0.0820545 | − | 0.229525i | ||||
\(963\) | −255795. | − | 469682.i | −0.275829 | − | 0.506468i | ||||
\(964\) | −103782. | − | 85076.6i | −0.111678 | − | 0.0915495i | ||||
\(965\) | −100877. | − | 174723.i | −0.108327 | − | 0.187628i | ||||
\(966\) | −35962.3 | − | 78495.0i | −0.0385384 | − | 0.0841178i | ||||
\(967\) | −39280.8 | − | 22678.8i | −0.0420075 | − | 0.0242530i | 0.478849 | − | 0.877897i | \(-0.341054\pi\) |
−0.520857 | + | 0.853644i | \(0.674387\pi\) | |||||||
\(968\) | 36825.3 | + | 2.14303e6i | 0.0393003 | + | 2.28706i | ||||
\(969\) | −112685. | + | 28695.1i | −0.120010 | + | 0.0305605i | ||||
\(970\) | −522957. | + | 95302.9i | −0.555805 | + | 0.101289i | ||||
\(971\) | − | 1.18319e6i | − | 1.25492i | −0.778648 | − | 0.627461i | \(-0.784094\pi\) | ||
0.778648 | − | 0.627461i | \(-0.215906\pi\) | |||||||
\(972\) | 944156. | − | 34447.3i | 0.999335 | − | 0.0364605i | ||||
\(973\) | −156541. | −0.165350 | ||||||||
\(974\) | 281200. | + | 1.54303e6i | 0.296413 | + | 1.62651i | ||||
\(975\) | 41437.6 | + | 162725.i | 0.0435898 | + | 0.171176i | ||||
\(976\) | 1.27491e6 | + | 431220.i | 1.33838 | + | 0.452688i | ||||
\(977\) | −562965. | + | 975083.i | −0.589783 | + | 1.02153i | 0.404478 | + | 0.914548i | \(0.367453\pi\) |
−0.994261 | + | 0.106986i | \(0.965880\pi\) | |||||||
\(978\) | 13329.7 | − | 6107.00i | 0.0139362 | − | 0.00638484i | ||||
\(979\) | 1.28051e6 | − | 739303.i | 1.33604 | − | 0.771360i | ||||
\(980\) | −308361. | − | 252784.i | −0.321076 | − | 0.263206i | ||||
\(981\) | −856837. | + | 466644.i | −0.890349 | + | 0.484895i | ||||
\(982\) | 789909. | + | 282390.i | 0.819132 | + | 0.292838i | ||||
\(983\) | −1.17197e6 | + | 676638.i | −1.21286 | + | 0.700243i | −0.963381 | − | 0.268137i | \(-0.913592\pi\) |
−0.249476 | + | 0.968381i | \(0.580259\pi\) | |||||||
\(984\) | −1.46358e6 | + | 399598.i | −1.51157 | + | 0.412699i | ||||
\(985\) | −200225. | + | 346799.i | −0.206369 | + | 0.357442i | ||||
\(986\) | −903090. | − | 1.06383e6i | −0.928918 | − | 1.09425i | ||||
\(987\) | −297801. | − | 83783.0i | −0.305697 | − | 0.0860045i | ||||
\(988\) | 26623.2 | + | 4380.56i | 0.0272738 | + | 0.00448761i | ||||
\(989\) | −8043.24 | −0.00822316 | ||||||||
\(990\) | −492427. | − | 610240.i | −0.502425 | − | 0.622630i | ||||
\(991\) | 1.02847e6i | 1.04724i | 0.851953 | + | 0.523619i | \(0.175418\pi\) | ||||
−0.851953 | + | 0.523619i | \(0.824582\pi\) | |||||||
\(992\) | −1.44179e6 | + | 572032.i | −1.46514 | + | 0.581296i | ||||
\(993\) | −271674. | − | 278525.i | −0.275518 | − | 0.282466i | ||||
\(994\) | 35864.2 | + | 42247.5i | 0.0362985 | + | 0.0427591i | ||||
\(995\) | 452235. | + | 261098.i | 0.456791 | + | 0.263729i | ||||
\(996\) | 145621. | + | 68080.6i | 0.146793 | + | 0.0686285i | ||||
\(997\) | −564030. | − | 976929.i | −0.567430 | − | 0.982817i | −0.996819 | − | 0.0796977i | \(-0.974605\pi\) |
0.429389 | − | 0.903119i | \(-0.358729\pi\) | |||||||
\(998\) | 511821. | + | 182975.i | 0.513874 | + | 0.183709i | ||||
\(999\) | 754366. | + | 812935.i | 0.755877 | + | 0.814563i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 36.5.f.a.31.2 | yes | 44 | |
3.2 | odd | 2 | 108.5.f.a.91.21 | 44 | |||
4.3 | odd | 2 | inner | 36.5.f.a.31.16 | yes | 44 | |
9.2 | odd | 6 | 108.5.f.a.19.7 | 44 | |||
9.4 | even | 3 | 324.5.d.f.163.13 | 22 | |||
9.5 | odd | 6 | 324.5.d.e.163.10 | 22 | |||
9.7 | even | 3 | inner | 36.5.f.a.7.16 | yes | 44 | |
12.11 | even | 2 | 108.5.f.a.91.7 | 44 | |||
36.7 | odd | 6 | inner | 36.5.f.a.7.2 | ✓ | 44 | |
36.11 | even | 6 | 108.5.f.a.19.21 | 44 | |||
36.23 | even | 6 | 324.5.d.e.163.9 | 22 | |||
36.31 | odd | 6 | 324.5.d.f.163.14 | 22 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.5.f.a.7.2 | ✓ | 44 | 36.7 | odd | 6 | inner | |
36.5.f.a.7.16 | yes | 44 | 9.7 | even | 3 | inner | |
36.5.f.a.31.2 | yes | 44 | 1.1 | even | 1 | trivial | |
36.5.f.a.31.16 | yes | 44 | 4.3 | odd | 2 | inner | |
108.5.f.a.19.7 | 44 | 9.2 | odd | 6 | |||
108.5.f.a.19.21 | 44 | 36.11 | even | 6 | |||
108.5.f.a.91.7 | 44 | 12.11 | even | 2 | |||
108.5.f.a.91.21 | 44 | 3.2 | odd | 2 | |||
324.5.d.e.163.9 | 22 | 36.23 | even | 6 | |||
324.5.d.e.163.10 | 22 | 9.5 | odd | 6 | |||
324.5.d.f.163.13 | 22 | 9.4 | even | 3 | |||
324.5.d.f.163.14 | 22 | 36.31 | odd | 6 |