Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(11,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.t (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: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.12 | ||
Character | \(\chi\) | \(=\) | 105.11 |
Dual form | 105.3.t.b.86.12 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.987174 | − | 0.569945i | 0.493587 | − | 0.284973i | −0.232474 | − | 0.972603i | \(-0.574682\pi\) |
0.726061 | + | 0.687630i | \(0.241349\pi\) | |||||||
\(3\) | 2.69338 | − | 1.32124i | 0.897795 | − | 0.440414i | ||||
\(4\) | −1.35032 | + | 2.33883i | −0.337581 | + | 0.584708i | ||||
\(5\) | 1.93649 | − | 1.11803i | 0.387298 | − | 0.223607i | ||||
\(6\) | 1.90581 | − | 2.83938i | 0.317634 | − | 0.473230i | ||||
\(7\) | 2.61061 | − | 6.49498i | 0.372944 | − | 0.927854i | ||||
\(8\) | 7.63801i | 0.954751i | ||||||||
\(9\) | 5.50864 | − | 7.11722i | 0.612071 | − | 0.790802i | ||||
\(10\) | 1.27444 | − | 2.20739i | 0.127444 | − | 0.220739i | ||||
\(11\) | 12.8353 | + | 7.41045i | 1.16684 | + | 0.673678i | 0.952935 | − | 0.303176i | \(-0.0980470\pi\) |
0.213909 | + | 0.976854i | \(0.431380\pi\) | |||||||
\(12\) | −0.546784 | + | 8.08347i | −0.0455653 | + | 0.673623i | ||||
\(13\) | −23.9894 | −1.84534 | −0.922671 | − | 0.385589i | \(-0.873998\pi\) | ||||
−0.922671 | + | 0.385589i | \(0.873998\pi\) | |||||||
\(14\) | −1.12465 | − | 7.89958i | −0.0803324 | − | 0.564256i | ||||
\(15\) | 3.73852 | − | 5.56987i | 0.249235 | − | 0.371325i | ||||
\(16\) | −1.04805 | − | 1.81528i | −0.0655031 | − | 0.113455i | ||||
\(17\) | −5.54599 | − | 3.20198i | −0.326235 | − | 0.188352i | 0.327933 | − | 0.944701i | \(-0.393648\pi\) |
−0.654168 | + | 0.756349i | \(0.726981\pi\) | |||||||
\(18\) | 1.38156 | − | 10.1656i | 0.0767535 | − | 0.564754i | ||||
\(19\) | 3.55819 | + | 6.16296i | 0.187273 | + | 0.324367i | 0.944340 | − | 0.328971i | \(-0.106702\pi\) |
−0.757067 | + | 0.653337i | \(0.773368\pi\) | |||||||
\(20\) | 6.03883i | 0.301942i | ||||||||
\(21\) | −1.55005 | − | 20.9427i | −0.0738119 | − | 0.997272i | ||||
\(22\) | 16.8942 | 0.767919 | ||||||||
\(23\) | −28.8602 | + | 16.6624i | −1.25479 | + | 0.724453i | −0.972057 | − | 0.234746i | \(-0.924574\pi\) |
−0.282733 | + | 0.959199i | \(0.591241\pi\) | |||||||
\(24\) | 10.0917 | + | 20.5721i | 0.420485 | + | 0.857171i | ||||
\(25\) | 2.50000 | − | 4.33013i | 0.100000 | − | 0.173205i | ||||
\(26\) | −23.6818 | + | 13.6727i | −0.910837 | + | 0.525872i | ||||
\(27\) | 5.43333 | − | 26.4477i | 0.201234 | − | 0.979543i | ||||
\(28\) | 11.6655 | + | 14.8761i | 0.416624 | + | 0.531289i | ||||
\(29\) | 32.6179i | 1.12476i | 0.826880 | + | 0.562378i | \(0.190113\pi\) | ||||
−0.826880 | + | 0.562378i | \(0.809887\pi\) | |||||||
\(30\) | 0.516055 | − | 7.62919i | 0.0172018 | − | 0.254306i | ||||
\(31\) | −1.00299 | + | 1.73724i | −0.0323546 | + | 0.0560398i | −0.881749 | − | 0.471718i | \(-0.843634\pi\) |
0.849395 | + | 0.527758i | \(0.176967\pi\) | |||||||
\(32\) | −28.5281 | − | 16.4707i | −0.891502 | − | 0.514709i | ||||
\(33\) | 44.3613 | + | 3.00070i | 1.34428 | + | 0.0909303i | ||||
\(34\) | −7.29982 | −0.214701 | ||||||||
\(35\) | −2.20618 | − | 15.4962i | −0.0630337 | − | 0.442749i | ||||
\(36\) | 9.20752 | + | 22.4943i | 0.255764 | + | 0.624843i | ||||
\(37\) | 9.06147 | + | 15.6949i | 0.244904 | + | 0.424187i | 0.962105 | − | 0.272680i | \(-0.0879101\pi\) |
−0.717200 | + | 0.696867i | \(0.754577\pi\) | |||||||
\(38\) | 7.02511 | + | 4.05595i | 0.184871 | + | 0.106735i | ||||
\(39\) | −64.6128 | + | 31.6958i | −1.65674 | + | 0.812714i | ||||
\(40\) | 8.53955 | + | 14.7909i | 0.213489 | + | 0.369773i | ||||
\(41\) | − | 40.8628i | − | 0.996654i | −0.866989 | − | 0.498327i | \(-0.833948\pi\) | ||
0.866989 | − | 0.498327i | \(-0.166052\pi\) | |||||||
\(42\) | −13.4664 | − | 19.7907i | −0.320628 | − | 0.471206i | ||||
\(43\) | −29.7063 | −0.690844 | −0.345422 | − | 0.938448i | \(-0.612264\pi\) | ||||
−0.345422 | + | 0.938448i | \(0.612264\pi\) | |||||||
\(44\) | −34.6636 | + | 20.0130i | −0.787809 | + | 0.454842i | ||||
\(45\) | 2.71015 | − | 19.9413i | 0.0602255 | − | 0.443140i | ||||
\(46\) | −18.9933 | + | 32.8974i | −0.412899 | + | 0.715162i | ||||
\(47\) | −6.22822 | + | 3.59586i | −0.132515 | + | 0.0765077i | −0.564792 | − | 0.825233i | \(-0.691044\pi\) |
0.432277 | + | 0.901741i | \(0.357710\pi\) | |||||||
\(48\) | −5.22122 | − | 3.50451i | −0.108775 | − | 0.0730106i | ||||
\(49\) | −35.3694 | − | 33.9117i | −0.721825 | − | 0.692076i | ||||
\(50\) | − | 5.69945i | − | 0.113989i | ||||||
\(51\) | −19.1681 | − | 1.29657i | −0.375845 | − | 0.0254230i | ||||
\(52\) | 32.3935 | − | 56.1072i | 0.622952 | − | 1.07899i | ||||
\(53\) | 34.1430 | + | 19.7125i | 0.644207 | + | 0.371933i | 0.786233 | − | 0.617930i | \(-0.212028\pi\) |
−0.142026 | + | 0.989863i | \(0.545362\pi\) | |||||||
\(54\) | −9.71008 | − | 29.2052i | −0.179816 | − | 0.540836i | ||||
\(55\) | 33.1406 | 0.602556 | ||||||||
\(56\) | 49.6087 | + | 19.9399i | 0.885869 | + | 0.356069i | ||||
\(57\) | 17.7263 | + | 11.8980i | 0.310988 | + | 0.208737i | ||||
\(58\) | 18.5904 | + | 32.1996i | 0.320525 | + | 0.555165i | ||||
\(59\) | 66.6011 | + | 38.4521i | 1.12883 | + | 0.651731i | 0.943641 | − | 0.330971i | \(-0.107376\pi\) |
0.185191 | + | 0.982703i | \(0.440710\pi\) | |||||||
\(60\) | 7.97876 | + | 16.2649i | 0.132979 | + | 0.271082i | ||||
\(61\) | 13.9524 | + | 24.1662i | 0.228727 | + | 0.396167i | 0.957431 | − | 0.288662i | \(-0.0932103\pi\) |
−0.728704 | + | 0.684829i | \(0.759877\pi\) | |||||||
\(62\) | 2.28661i | 0.0368807i | ||||||||
\(63\) | −31.8453 | − | 54.3588i | −0.505480 | − | 0.862838i | ||||
\(64\) | −29.1652 | −0.455706 | ||||||||
\(65\) | −46.4554 | + | 26.8210i | −0.714698 | + | 0.412631i | ||||
\(66\) | 45.5026 | − | 22.3213i | 0.689434 | − | 0.338202i | ||||
\(67\) | 50.9881 | − | 88.3139i | 0.761016 | − | 1.31812i | −0.181311 | − | 0.983426i | \(-0.558034\pi\) |
0.942327 | − | 0.334693i | \(-0.108632\pi\) | |||||||
\(68\) | 14.9778 | − | 8.64743i | 0.220262 | − | 0.127168i | ||||
\(69\) | −55.7164 | + | 83.0095i | −0.807485 | + | 1.20304i | ||||
\(70\) | −11.0099 | − | 14.0401i | −0.157284 | − | 0.200572i | ||||
\(71\) | − | 65.1176i | − | 0.917149i | −0.888656 | − | 0.458575i | \(-0.848360\pi\) | ||
0.888656 | − | 0.458575i | \(-0.151640\pi\) | |||||||
\(72\) | 54.3614 | + | 42.0751i | 0.755019 | + | 0.584376i | ||||
\(73\) | 58.9896 | − | 102.173i | 0.808077 | − | 1.39963i | −0.106117 | − | 0.994354i | \(-0.533842\pi\) |
0.914194 | − | 0.405276i | \(-0.132825\pi\) | |||||||
\(74\) | 17.8905 | + | 10.3291i | 0.241763 | + | 0.139582i | ||||
\(75\) | 1.01232 | − | 14.9658i | 0.0134976 | − | 0.199544i | ||||
\(76\) | −19.2188 | −0.252879 | ||||||||
\(77\) | 81.6386 | − | 64.0190i | 1.06024 | − | 0.831416i | ||||
\(78\) | −45.7192 | + | 68.1151i | −0.586144 | + | 0.873270i | ||||
\(79\) | 17.0304 | + | 29.4975i | 0.215574 | + | 0.373386i | 0.953450 | − | 0.301551i | \(-0.0975043\pi\) |
−0.737876 | + | 0.674937i | \(0.764171\pi\) | |||||||
\(80\) | −4.05908 | − | 2.34351i | −0.0507385 | − | 0.0292939i | ||||
\(81\) | −20.3097 | − | 78.4125i | −0.250737 | − | 0.968055i | ||||
\(82\) | −23.2896 | − | 40.3387i | −0.284019 | − | 0.491936i | ||||
\(83\) | − | 34.5698i | − | 0.416504i | −0.978075 | − | 0.208252i | \(-0.933223\pi\) | ||
0.978075 | − | 0.208252i | \(-0.0667774\pi\) | |||||||
\(84\) | 51.0745 | + | 24.6542i | 0.608030 | + | 0.293502i | ||||
\(85\) | −14.3197 | −0.168467 | ||||||||
\(86\) | −29.3253 | + | 16.9310i | −0.340992 | + | 0.196872i | ||||
\(87\) | 43.0962 | + | 87.8527i | 0.495358 | + | 1.00980i | ||||
\(88\) | −56.6011 | + | 98.0360i | −0.643194 | + | 1.11405i | ||||
\(89\) | 28.7047 | − | 16.5727i | 0.322525 | − | 0.186210i | −0.329993 | − | 0.943983i | \(-0.607046\pi\) |
0.652517 | + | 0.757774i | \(0.273713\pi\) | |||||||
\(90\) | −8.69006 | − | 21.2302i | −0.0965562 | − | 0.235891i | ||||
\(91\) | −62.6271 | + | 155.811i | −0.688210 | + | 1.71221i | ||||
\(92\) | − | 89.9987i | − | 0.978247i | ||||||
\(93\) | −0.406140 | + | 6.00424i | −0.00436709 | + | 0.0645617i | ||||
\(94\) | −4.09889 | + | 7.09949i | −0.0436052 | + | 0.0755264i | ||||
\(95\) | 13.7808 | + | 7.95635i | 0.145061 | + | 0.0837511i | ||||
\(96\) | −98.5988 | − | 6.66944i | −1.02707 | − | 0.0694733i | ||||
\(97\) | −5.32173 | −0.0548632 | −0.0274316 | − | 0.999624i | \(-0.508733\pi\) | ||||
−0.0274316 | + | 0.999624i | \(0.508733\pi\) | |||||||
\(98\) | −54.2436 | − | 13.3181i | −0.553506 | − | 0.135899i | ||||
\(99\) | 123.447 | − | 50.5300i | 1.24694 | − | 0.510404i | ||||
\(100\) | 6.75162 | + | 11.6942i | 0.0675162 | + | 0.116942i | ||||
\(101\) | 54.4292 | + | 31.4247i | 0.538903 | + | 0.311136i | 0.744634 | − | 0.667473i | \(-0.232624\pi\) |
−0.205731 | + | 0.978608i | \(0.565957\pi\) | |||||||
\(102\) | −19.6612 | + | 9.64482i | −0.192757 | + | 0.0945571i | ||||
\(103\) | −53.9650 | − | 93.4701i | −0.523932 | − | 0.907477i | −0.999612 | − | 0.0278586i | \(-0.991131\pi\) |
0.475680 | − | 0.879619i | \(-0.342202\pi\) | |||||||
\(104\) | − | 183.232i | − | 1.76184i | ||||||
\(105\) | −26.4163 | − | 38.8224i | −0.251584 | − | 0.369737i | ||||
\(106\) | 44.9401 | 0.423963 | ||||||||
\(107\) | −70.6904 | + | 40.8131i | −0.660658 | + | 0.381431i | −0.792528 | − | 0.609836i | \(-0.791235\pi\) |
0.131870 | + | 0.991267i | \(0.457902\pi\) | |||||||
\(108\) | 54.5198 | + | 48.4206i | 0.504813 | + | 0.448339i | ||||
\(109\) | 30.5961 | − | 52.9940i | 0.280698 | − | 0.486184i | −0.690859 | − | 0.722990i | \(-0.742767\pi\) |
0.971557 | + | 0.236806i | \(0.0761006\pi\) | |||||||
\(110\) | 32.7155 | − | 18.8883i | 0.297414 | − | 0.171712i | ||||
\(111\) | 45.1428 | + | 30.3001i | 0.406692 | + | 0.272974i | ||||
\(112\) | −14.5262 | + | 2.06808i | −0.129698 | + | 0.0184650i | ||||
\(113\) | 206.567i | 1.82803i | 0.405684 | + | 0.914013i | \(0.367033\pi\) | ||||
−0.405684 | + | 0.914013i | \(0.632967\pi\) | |||||||
\(114\) | 24.2802 | + | 1.64237i | 0.212984 | + | 0.0144067i | ||||
\(115\) | −37.2583 | + | 64.5333i | −0.323985 | + | 0.561159i | ||||
\(116\) | −76.2878 | − | 44.0448i | −0.657654 | − | 0.379697i | ||||
\(117\) | −132.149 | + | 170.738i | −1.12948 | + | 1.45930i | ||||
\(118\) | 87.6625 | 0.742902 | ||||||||
\(119\) | −35.2752 | + | 27.6620i | −0.296430 | + | 0.232454i | ||||
\(120\) | 42.5427 | + | 28.5549i | 0.354523 | + | 0.237957i | ||||
\(121\) | 49.3296 | + | 85.4414i | 0.407683 | + | 0.706128i | ||||
\(122\) | 27.5468 | + | 15.9042i | 0.225794 | + | 0.130362i | ||||
\(123\) | −53.9896 | − | 110.059i | −0.438940 | − | 0.894791i | ||||
\(124\) | −2.70873 | − | 4.69166i | −0.0218446 | − | 0.0378360i | ||||
\(125\) | − | 11.1803i | − | 0.0894427i | ||||||
\(126\) | −62.4184 | − | 35.5116i | −0.495384 | − | 0.281838i | ||||
\(127\) | −98.3201 | −0.774174 | −0.387087 | − | 0.922043i | \(-0.626519\pi\) | ||||
−0.387087 | + | 0.922043i | \(0.626519\pi\) | |||||||
\(128\) | 85.3211 | − | 49.2602i | 0.666571 | − | 0.384845i | ||||
\(129\) | −80.0104 | + | 39.2492i | −0.620236 | + | 0.304257i | ||||
\(130\) | −30.5730 | + | 52.9540i | −0.235177 | + | 0.407339i | ||||
\(131\) | 5.29133 | − | 3.05495i | 0.0403918 | − | 0.0233202i | −0.479668 | − | 0.877450i | \(-0.659243\pi\) |
0.520060 | + | 0.854130i | \(0.325910\pi\) | |||||||
\(132\) | −66.9203 | + | 99.7018i | −0.506972 | + | 0.755316i | ||||
\(133\) | 49.3174 | − | 7.02125i | 0.370807 | − | 0.0527914i | ||||
\(134\) | − | 116.242i | − | 0.867475i | ||||||
\(135\) | −19.0478 | − | 57.2903i | −0.141095 | − | 0.424373i | ||||
\(136\) | 24.4568 | − | 42.3603i | 0.179829 | − | 0.311473i | ||||
\(137\) | 158.164 | + | 91.3161i | 1.15448 | + | 0.666541i | 0.949976 | − | 0.312324i | \(-0.101108\pi\) |
0.204507 | + | 0.978865i | \(0.434441\pi\) | |||||||
\(138\) | −7.69093 | + | 113.700i | −0.0557314 | + | 0.823915i | ||||
\(139\) | −81.2651 | −0.584641 | −0.292321 | − | 0.956320i | \(-0.594427\pi\) | ||||
−0.292321 | + | 0.956320i | \(0.594427\pi\) | |||||||
\(140\) | 39.2221 | + | 15.7650i | 0.280158 | + | 0.112607i | ||||
\(141\) | −12.0240 | + | 17.9140i | −0.0852765 | + | 0.127050i | ||||
\(142\) | −37.1135 | − | 64.2824i | −0.261362 | − | 0.452693i | ||||
\(143\) | −307.911 | − | 177.773i | −2.15323 | − | 1.24317i | ||||
\(144\) | −18.6931 | − | 2.54050i | −0.129813 | − | 0.0176424i | ||||
\(145\) | 36.4680 | + | 63.1644i | 0.251503 | + | 0.435616i | ||||
\(146\) | − | 134.483i | − | 0.921119i | ||||||
\(147\) | −140.069 | − | 44.6057i | −0.952850 | − | 0.303440i | ||||
\(148\) | −48.9437 | −0.330701 | ||||||||
\(149\) | −108.076 | + | 62.3975i | −0.725340 | + | 0.418775i | −0.816715 | − | 0.577041i | \(-0.804207\pi\) |
0.0913747 | + | 0.995817i | \(0.470874\pi\) | |||||||
\(150\) | −7.53035 | − | 15.3508i | −0.0502024 | − | 0.102339i | ||||
\(151\) | −34.8705 | + | 60.3975i | −0.230930 | + | 0.399983i | −0.958082 | − | 0.286493i | \(-0.907510\pi\) |
0.727152 | + | 0.686477i | \(0.240844\pi\) | |||||||
\(152\) | −47.0728 | + | 27.1775i | −0.309689 | + | 0.178799i | ||||
\(153\) | −53.3401 | + | 21.8335i | −0.348628 | + | 0.142703i | ||||
\(154\) | 44.1042 | − | 109.728i | 0.286391 | − | 0.712516i | ||||
\(155\) | 4.48552i | 0.0289388i | ||||||||
\(156\) | 13.1170 | − | 193.918i | 0.0840836 | − | 1.24306i | ||||
\(157\) | −75.8353 | + | 131.351i | −0.483028 | + | 0.836628i | −0.999810 | − | 0.0194883i | \(-0.993796\pi\) |
0.516782 | + | 0.856117i | \(0.327130\pi\) | |||||||
\(158\) | 33.6239 | + | 19.4128i | 0.212810 | + | 0.122866i | ||||
\(159\) | 118.005 | + | 7.98212i | 0.742170 | + | 0.0502020i | ||||
\(160\) | −73.6591 | −0.460369 | ||||||||
\(161\) | 32.8794 | + | 230.945i | 0.204220 | + | 1.43444i | ||||
\(162\) | −64.7400 | − | 65.8314i | −0.399630 | − | 0.406366i | ||||
\(163\) | 20.6594 | + | 35.7831i | 0.126745 | + | 0.219528i | 0.922414 | − | 0.386204i | \(-0.126214\pi\) |
−0.795669 | + | 0.605732i | \(0.792880\pi\) | |||||||
\(164\) | 95.5712 | + | 55.1781i | 0.582751 | + | 0.336452i | ||||
\(165\) | 89.2603 | − | 43.7867i | 0.540971 | − | 0.265374i | ||||
\(166\) | −19.7029 | − | 34.1264i | −0.118692 | − | 0.205581i | ||||
\(167\) | 65.7703i | 0.393834i | 0.980420 | + | 0.196917i | \(0.0630929\pi\) | ||||
−0.980420 | + | 0.196917i | \(0.936907\pi\) | |||||||
\(168\) | 159.961 | − | 11.8393i | 0.952147 | − | 0.0704720i | ||||
\(169\) | 406.493 | 2.40529 | ||||||||
\(170\) | −14.1360 | + | 8.16144i | −0.0831532 | + | 0.0480085i | ||||
\(171\) | 63.4640 | + | 8.62515i | 0.371134 | + | 0.0504395i | ||||
\(172\) | 40.1131 | − | 69.4779i | 0.233216 | − | 0.403941i | ||||
\(173\) | 204.420 | − | 118.022i | 1.18162 | − | 0.682209i | 0.225232 | − | 0.974305i | \(-0.427686\pi\) |
0.956389 | + | 0.292096i | \(0.0943527\pi\) | |||||||
\(174\) | 92.6146 | + | 62.1634i | 0.532268 | + | 0.357261i | ||||
\(175\) | −21.5975 | − | 27.5417i | −0.123415 | − | 0.157381i | ||||
\(176\) | − | 31.0661i | − | 0.176512i | ||||||
\(177\) | 230.187 | + | 15.5703i | 1.30049 | + | 0.0879680i | ||||
\(178\) | 18.8910 | − | 32.7202i | 0.106129 | − | 0.183821i | ||||
\(179\) | −98.3428 | − | 56.7782i | −0.549401 | − | 0.317197i | 0.199479 | − | 0.979902i | \(-0.436075\pi\) |
−0.748880 | + | 0.662705i | \(0.769408\pi\) | |||||||
\(180\) | 42.9797 | + | 33.2658i | 0.238776 | + | 0.184810i | ||||
\(181\) | 94.3627 | 0.521341 | 0.260671 | − | 0.965428i | \(-0.416056\pi\) | ||||
0.260671 | + | 0.965428i | \(0.416056\pi\) | |||||||
\(182\) | 26.9798 | + | 189.507i | 0.148241 | + | 1.04124i | ||||
\(183\) | 69.5085 | + | 46.6544i | 0.379828 | + | 0.254942i | ||||
\(184\) | −127.268 | − | 220.434i | −0.691672 | − | 1.19801i | ||||
\(185\) | 35.0949 | + | 20.2621i | 0.189702 | + | 0.109525i | ||||
\(186\) | 3.02116 | + | 6.15871i | 0.0162428 | + | 0.0331113i | ||||
\(187\) | −47.4563 | − | 82.1967i | −0.253777 | − | 0.439554i | ||||
\(188\) | − | 19.4223i | − | 0.103310i | ||||||
\(189\) | −157.593 | − | 104.334i | −0.833823 | − | 0.552031i | ||||
\(190\) | 18.1387 | 0.0954671 | ||||||||
\(191\) | 96.4070 | − | 55.6606i | 0.504748 | − | 0.291417i | −0.225924 | − | 0.974145i | \(-0.572540\pi\) |
0.730672 | + | 0.682728i | \(0.239207\pi\) | |||||||
\(192\) | −78.5530 | + | 38.5342i | −0.409130 | + | 0.200699i | ||||
\(193\) | 77.5358 | − | 134.296i | 0.401740 | − | 0.695834i | −0.592196 | − | 0.805794i | \(-0.701739\pi\) |
0.993936 | + | 0.109960i | \(0.0350722\pi\) | |||||||
\(194\) | −5.25347 | + | 3.03309i | −0.0270798 | + | 0.0156345i | ||||
\(195\) | −89.6851 | + | 133.618i | −0.459924 | + | 0.685221i | ||||
\(196\) | 127.074 | − | 36.9313i | 0.648336 | − | 0.188425i | ||||
\(197\) | 67.7367i | 0.343841i | 0.985111 | + | 0.171921i | \(0.0549973\pi\) | ||||
−0.985111 | + | 0.171921i | \(0.945003\pi\) | |||||||
\(198\) | 93.0642 | − | 120.240i | 0.470021 | − | 0.607272i | ||||
\(199\) | −20.2389 | + | 35.0548i | −0.101703 | + | 0.176155i | −0.912386 | − | 0.409330i | \(-0.865762\pi\) |
0.810683 | + | 0.585485i | \(0.199096\pi\) | |||||||
\(200\) | 33.0735 | + | 19.0950i | 0.165368 | + | 0.0954751i | ||||
\(201\) | 20.6465 | − | 305.231i | 0.102719 | − | 1.51856i | ||||
\(202\) | 71.6414 | 0.354661 | ||||||||
\(203\) | 211.853 | + | 85.1527i | 1.04361 | + | 0.419472i | ||||
\(204\) | 28.9156 | − | 43.0801i | 0.141743 | − | 0.211177i | ||||
\(205\) | −45.6860 | − | 79.1305i | −0.222859 | − | 0.386002i | ||||
\(206\) | −106.546 | − | 61.5142i | −0.517212 | − | 0.298613i | ||||
\(207\) | −40.3902 | + | 297.191i | −0.195122 | + | 1.43571i | ||||
\(208\) | 25.1421 | + | 43.5474i | 0.120876 | + | 0.209363i | ||||
\(209\) | 105.471i | 0.504647i | ||||||||
\(210\) | −48.2042 | − | 23.2686i | −0.229544 | − | 0.110803i | ||||
\(211\) | −225.238 | −1.06748 | −0.533738 | − | 0.845650i | \(-0.679213\pi\) | ||||
−0.533738 | + | 0.845650i | \(0.679213\pi\) | |||||||
\(212\) | −92.2082 | + | 53.2364i | −0.434944 | + | 0.251115i | ||||
\(213\) | −86.0360 | − | 175.387i | −0.403925 | − | 0.823412i | ||||
\(214\) | −46.5225 | + | 80.5793i | −0.217395 | + | 0.376539i | ||||
\(215\) | −57.5260 | + | 33.2126i | −0.267563 | + | 0.154477i | ||||
\(216\) | 202.007 | + | 41.4998i | 0.935220 | + | 0.192129i | ||||
\(217\) | 8.66488 | + | 11.0497i | 0.0399303 | + | 0.0509201i | ||||
\(218\) | − | 69.7525i | − | 0.319965i | ||||||
\(219\) | 23.8865 | − | 353.131i | 0.109071 | − | 1.61247i | ||||
\(220\) | −44.7505 | + | 77.5101i | −0.203411 | + | 0.352319i | ||||
\(221\) | 133.045 | + | 76.8137i | 0.602015 | + | 0.347573i | ||||
\(222\) | 61.8332 | + | 4.18253i | 0.278528 | + | 0.0188402i | ||||
\(223\) | 190.035 | 0.852174 | 0.426087 | − | 0.904682i | \(-0.359892\pi\) | ||||
0.426087 | + | 0.904682i | \(0.359892\pi\) | |||||||
\(224\) | −181.452 | + | 142.290i | −0.810055 | + | 0.635225i | ||||
\(225\) | −17.0469 | − | 41.6462i | −0.0757639 | − | 0.185094i | ||||
\(226\) | 117.732 | + | 203.918i | 0.520938 | + | 0.902291i | ||||
\(227\) | −336.012 | − | 193.996i | −1.48023 | − | 0.854610i | −0.480479 | − | 0.877006i | \(-0.659537\pi\) |
−0.999749 | + | 0.0223962i | \(0.992870\pi\) | |||||||
\(228\) | −51.7637 | + | 25.3927i | −0.227034 | + | 0.111372i | ||||
\(229\) | 25.2334 | + | 43.7055i | 0.110189 | + | 0.190854i | 0.915847 | − | 0.401529i | \(-0.131521\pi\) |
−0.805657 | + | 0.592382i | \(0.798188\pi\) | |||||||
\(230\) | 84.9408i | 0.369308i | ||||||||
\(231\) | 135.300 | − | 280.292i | 0.585713 | − | 1.21339i | ||||
\(232\) | −249.136 | −1.07386 | ||||||||
\(233\) | −175.684 | + | 101.431i | −0.754008 | + | 0.435327i | −0.827140 | − | 0.561995i | \(-0.810034\pi\) |
0.0731321 | + | 0.997322i | \(0.476701\pi\) | |||||||
\(234\) | −33.1429 | + | 243.866i | −0.141636 | + | 1.04216i | ||||
\(235\) | −8.04059 | + | 13.9267i | −0.0342153 | + | 0.0592626i | ||||
\(236\) | −179.866 | + | 103.846i | −0.762144 | + | 0.440024i | ||||
\(237\) | 84.8427 | + | 56.9468i | 0.357986 | + | 0.240282i | ||||
\(238\) | −19.0570 | + | 47.4121i | −0.0800714 | + | 0.199211i | ||||
\(239\) | − | 54.4765i | − | 0.227935i | −0.993484 | − | 0.113968i | \(-0.963644\pi\) | ||
0.993484 | − | 0.113968i | \(-0.0363560\pi\) | |||||||
\(240\) | −14.0290 | − | 0.948953i | −0.0584542 | − | 0.00395397i | ||||
\(241\) | −120.038 | + | 207.911i | −0.498082 | + | 0.862703i | −0.999998 | − | 0.00221369i | \(-0.999295\pi\) |
0.501916 | + | 0.864916i | \(0.332629\pi\) | |||||||
\(242\) | 97.3939 | + | 56.2304i | 0.402454 | + | 0.232357i | ||||
\(243\) | −158.304 | − | 184.361i | −0.651455 | − | 0.758687i | ||||
\(244\) | −75.3609 | −0.308856 | ||||||||
\(245\) | −106.407 | − | 26.1255i | −0.434314 | − | 0.106635i | ||||
\(246\) | −116.025 | − | 77.8766i | −0.471646 | − | 0.316571i | ||||
\(247\) | −85.3590 | − | 147.846i | −0.345583 | − | 0.598567i | ||||
\(248\) | −13.2690 | − | 7.66087i | −0.0535041 | − | 0.0308906i | ||||
\(249\) | −45.6751 | − | 93.1098i | −0.183434 | − | 0.373935i | ||||
\(250\) | −6.37218 | − | 11.0369i | −0.0254887 | − | 0.0441478i | ||||
\(251\) | 159.670i | 0.636136i | 0.948068 | + | 0.318068i | \(0.103034\pi\) | ||||
−0.948068 | + | 0.318068i | \(0.896966\pi\) | |||||||
\(252\) | 170.137 | − | 1.07866i | 0.675149 | − | 0.00428038i | ||||
\(253\) | −493.904 | −1.95219 | ||||||||
\(254\) | −97.0591 | + | 56.0371i | −0.382123 | + | 0.220619i | ||||
\(255\) | −38.5684 | + | 18.9198i | −0.151249 | + | 0.0741952i | ||||
\(256\) | 114.482 | − | 198.288i | 0.447193 | − | 0.774562i | ||||
\(257\) | 143.851 | − | 83.0525i | 0.559732 | − | 0.323161i | −0.193306 | − | 0.981139i | \(-0.561921\pi\) |
0.753038 | + | 0.657977i | \(0.228588\pi\) | |||||||
\(258\) | −56.6144 | + | 84.3473i | −0.219436 | + | 0.326928i | ||||
\(259\) | 125.594 | − | 17.8807i | 0.484919 | − | 0.0690374i | ||||
\(260\) | − | 144.868i | − | 0.557186i | ||||||
\(261\) | 232.149 | + | 179.681i | 0.889460 | + | 0.688431i | ||||
\(262\) | 3.48231 | − | 6.03154i | 0.0132913 | − | 0.0230211i | ||||
\(263\) | −78.7862 | − | 45.4872i | −0.299567 | − | 0.172955i | 0.342681 | − | 0.939452i | \(-0.388665\pi\) |
−0.642249 | + | 0.766496i | \(0.721998\pi\) | |||||||
\(264\) | −22.9194 | + | 338.832i | −0.0868158 | + | 1.28346i | ||||
\(265\) | 88.1568 | 0.332667 | ||||||||
\(266\) | 44.6831 | − | 35.0394i | 0.167982 | − | 0.131727i | ||||
\(267\) | 55.4163 | − | 82.5624i | 0.207552 | − | 0.309222i | ||||
\(268\) | 137.701 | + | 238.505i | 0.513809 | + | 0.889944i | ||||
\(269\) | −89.8384 | − | 51.8682i | −0.333972 | − | 0.192819i | 0.323631 | − | 0.946183i | \(-0.395096\pi\) |
−0.657603 | + | 0.753365i | \(0.728430\pi\) | |||||||
\(270\) | −51.4559 | − | 45.6993i | −0.190577 | − | 0.169257i | ||||
\(271\) | 120.306 | + | 208.376i | 0.443933 | + | 0.768915i | 0.997977 | − | 0.0635727i | \(-0.0202495\pi\) |
−0.554044 | + | 0.832487i | \(0.686916\pi\) | |||||||
\(272\) | 13.4233i | 0.0493505i | ||||||||
\(273\) | 37.1849 | + | 502.404i | 0.136208 | + | 1.84031i | ||||
\(274\) | 208.181 | 0.759784 | ||||||||
\(275\) | 64.1764 | − | 37.0523i | 0.233369 | − | 0.134736i | ||||
\(276\) | −118.910 | − | 242.401i | −0.430833 | − | 0.878265i | ||||
\(277\) | 58.5235 | − | 101.366i | 0.211276 | − | 0.365941i | −0.740838 | − | 0.671684i | \(-0.765571\pi\) |
0.952114 | + | 0.305743i | \(0.0989047\pi\) | |||||||
\(278\) | −80.2229 | + | 46.3167i | −0.288571 | + | 0.166607i | ||||
\(279\) | 6.83916 | + | 16.7083i | 0.0245131 | + | 0.0598865i | ||||
\(280\) | 118.360 | − | 16.8508i | 0.422715 | − | 0.0601814i | ||||
\(281\) | 182.734i | 0.650299i | 0.945663 | + | 0.325150i | \(0.105415\pi\) | ||||
−0.945663 | + | 0.325150i | \(0.894585\pi\) | |||||||
\(282\) | −1.65975 | + | 24.5373i | −0.00588565 | + | 0.0870116i | ||||
\(283\) | 90.4474 | − | 156.659i | 0.319602 | − | 0.553567i | −0.660803 | − | 0.750559i | \(-0.729784\pi\) |
0.980405 | + | 0.196992i | \(0.0631174\pi\) | |||||||
\(284\) | 152.299 | + | 87.9299i | 0.536264 | + | 0.309612i | ||||
\(285\) | 47.6293 | + | 3.22175i | 0.167120 | + | 0.0113044i | ||||
\(286\) | −405.283 | −1.41707 | ||||||||
\(287\) | −265.403 | − | 106.677i | −0.924749 | − | 0.371697i | ||||
\(288\) | −274.376 | + | 112.309i | −0.952696 | + | 0.389963i | ||||
\(289\) | −123.995 | − | 214.765i | −0.429047 | − | 0.743132i | ||||
\(290\) | 72.0005 | + | 41.5695i | 0.248278 | + | 0.143343i | ||||
\(291\) | −14.3335 | + | 7.03129i | −0.0492559 | + | 0.0241625i | ||||
\(292\) | 159.310 | + | 275.933i | 0.545583 | + | 0.944977i | ||||
\(293\) | − | 283.962i | − | 0.969155i | −0.874748 | − | 0.484578i | \(-0.838973\pi\) | ||
0.874748 | − | 0.484578i | \(-0.161027\pi\) | |||||||
\(294\) | −163.695 | + | 35.7981i | −0.556787 | + | 0.121762i | ||||
\(295\) | 171.963 | 0.582926 | ||||||||
\(296\) | −119.878 | + | 69.2116i | −0.404993 | + | 0.233823i | ||||
\(297\) | 265.727 | − | 299.200i | 0.894705 | − | 1.00741i | ||||
\(298\) | −71.1264 | + | 123.195i | −0.238679 | + | 0.413404i | ||||
\(299\) | 692.339 | − | 399.722i | 2.31552 | − | 1.33686i | ||||
\(300\) | 33.6355 | + | 22.5763i | 0.112118 | + | 0.0752544i | ||||
\(301\) | −77.5515 | + | 192.942i | −0.257646 | + | 0.641002i | ||||
\(302\) | 79.4971i | 0.263236i | ||||||||
\(303\) | 188.118 | + | 12.7247i | 0.620852 | + | 0.0419958i | ||||
\(304\) | 7.45832 | − | 12.9182i | 0.0245339 | − | 0.0424940i | ||||
\(305\) | 54.0373 | + | 31.1984i | 0.177171 | + | 0.102290i | ||||
\(306\) | −40.2121 | + | 51.9544i | −0.131412 | + | 0.169786i | ||||
\(307\) | 166.816 | 0.543375 | 0.271688 | − | 0.962385i | \(-0.412418\pi\) | ||||
0.271688 | + | 0.962385i | \(0.412418\pi\) | |||||||
\(308\) | 39.4910 | + | 277.385i | 0.128218 | + | 0.900602i | ||||
\(309\) | −268.845 | − | 180.450i | −0.870049 | − | 0.583981i | ||||
\(310\) | 2.55650 | + | 4.42799i | 0.00824678 | + | 0.0142838i | ||||
\(311\) | −433.784 | − | 250.445i | −1.39480 | − | 0.805290i | −0.400962 | − | 0.916095i | \(-0.631324\pi\) |
−0.993842 | + | 0.110804i | \(0.964657\pi\) | |||||||
\(312\) | −242.093 | − | 493.513i | −0.775939 | − | 1.58177i | ||||
\(313\) | −200.841 | − | 347.866i | −0.641664 | − | 1.11139i | −0.985061 | − | 0.172204i | \(-0.944911\pi\) |
0.343398 | − | 0.939190i | \(-0.388422\pi\) | |||||||
\(314\) | 172.888i | 0.550599i | ||||||||
\(315\) | −122.443 | − | 69.6613i | −0.388708 | − | 0.221147i | ||||
\(316\) | −91.9862 | −0.291095 | ||||||||
\(317\) | 137.569 | − | 79.4256i | 0.433972 | − | 0.250554i | −0.267065 | − | 0.963678i | \(-0.586054\pi\) |
0.701037 | + | 0.713125i | \(0.252721\pi\) | |||||||
\(318\) | 121.041 | − | 59.3767i | 0.380632 | − | 0.186719i | ||||
\(319\) | −241.714 | + | 418.660i | −0.757723 | + | 1.31242i | ||||
\(320\) | −56.4781 | + | 32.6076i | −0.176494 | + | 0.101899i | ||||
\(321\) | −136.472 | + | 203.325i | −0.425148 | + | 0.633410i | ||||
\(322\) | 164.084 | + | 209.244i | 0.509577 | + | 0.649825i | ||||
\(323\) | − | 45.5730i | − | 0.141093i | ||||||
\(324\) | 210.818 | + | 58.3813i | 0.650673 | + | 0.180189i | ||||
\(325\) | −59.9736 | + | 103.877i | −0.184534 | + | 0.319623i | ||||
\(326\) | 40.7889 | + | 23.5495i | 0.125119 | + | 0.0722376i | ||||
\(327\) | 12.3892 | − | 183.158i | 0.0378875 | − | 0.560117i | ||||
\(328\) | 312.111 | 0.951557 | ||||||||
\(329\) | 7.09559 | + | 49.8395i | 0.0215671 | + | 0.151488i | ||||
\(330\) | 63.1594 | − | 94.0986i | 0.191392 | − | 0.285147i | ||||
\(331\) | −205.917 | − | 356.658i | −0.622105 | − | 1.07752i | −0.989093 | − | 0.147292i | \(-0.952944\pi\) |
0.366988 | − | 0.930226i | \(-0.380389\pi\) | |||||||
\(332\) | 80.8530 | + | 46.6805i | 0.243533 | + | 0.140604i | ||||
\(333\) | 161.621 | + | 21.9652i | 0.485347 | + | 0.0659617i | ||||
\(334\) | 37.4855 | + | 64.9267i | 0.112232 | + | 0.194391i | ||||
\(335\) | − | 228.026i | − | 0.680673i | ||||||
\(336\) | −36.3923 | + | 24.7628i | −0.108310 | + | 0.0736987i | ||||
\(337\) | 363.035 | 1.07725 | 0.538627 | − | 0.842544i | \(-0.318943\pi\) | ||||
0.538627 | + | 0.842544i | \(0.318943\pi\) | |||||||
\(338\) | 401.280 | − | 231.679i | 1.18722 | − | 0.685441i | ||||
\(339\) | 272.925 | + | 556.364i | 0.805088 | + | 1.64119i | ||||
\(340\) | 19.3362 | − | 33.4913i | 0.0568713 | − | 0.0985039i | ||||
\(341\) | −25.7474 | + | 14.8653i | −0.0755056 | + | 0.0435932i | ||||
\(342\) | 67.5659 | − | 27.6565i | 0.197561 | − | 0.0808669i | ||||
\(343\) | −312.592 | + | 141.193i | −0.911346 | + | 0.411642i | ||||
\(344\) | − | 226.897i | − | 0.659584i | ||||||
\(345\) | −15.0869 | + | 223.040i | −0.0437302 | + | 0.646493i | ||||
\(346\) | 134.532 | − | 233.017i | 0.388822 | − | 0.673459i | ||||
\(347\) | 304.373 | + | 175.730i | 0.877155 | + | 0.506426i | 0.869719 | − | 0.493547i | \(-0.164300\pi\) |
0.00743572 | + | 0.999972i | \(0.497633\pi\) | |||||||
\(348\) | −263.666 | − | 17.8350i | −0.757662 | − | 0.0512499i | ||||
\(349\) | −466.577 | −1.33690 | −0.668448 | − | 0.743758i | \(-0.733041\pi\) | ||||
−0.668448 | + | 0.743758i | \(0.733041\pi\) | |||||||
\(350\) | −37.0178 | − | 14.8791i | −0.105765 | − | 0.0425116i | ||||
\(351\) | −130.343 | + | 634.465i | −0.371346 | + | 1.80759i | ||||
\(352\) | −244.110 | − | 422.812i | −0.693495 | − | 1.20117i | ||||
\(353\) | 263.206 | + | 151.962i | 0.745625 | + | 0.430487i | 0.824111 | − | 0.566429i | \(-0.191675\pi\) |
−0.0784861 | + | 0.996915i | \(0.525009\pi\) | |||||||
\(354\) | 236.109 | − | 115.823i | 0.666974 | − | 0.327184i | ||||
\(355\) | −72.8037 | − | 126.100i | −0.205081 | − | 0.355210i | ||||
\(356\) | 89.5139i | 0.251444i | ||||||||
\(357\) | −58.4616 | + | 121.111i | −0.163758 | + | 0.339248i | ||||
\(358\) | −129.442 | −0.361570 | ||||||||
\(359\) | −358.252 | + | 206.837i | −0.997917 | + | 0.576148i | −0.907631 | − | 0.419768i | \(-0.862111\pi\) |
−0.0902857 | + | 0.995916i | \(0.528778\pi\) | |||||||
\(360\) | 152.312 | + | 20.7001i | 0.423088 | + | 0.0575003i | ||||
\(361\) | 155.179 | − | 268.777i | 0.429858 | − | 0.744535i | ||||
\(362\) | 93.1525 | − | 53.7816i | 0.257327 | − | 0.148568i | ||||
\(363\) | 245.752 | + | 164.950i | 0.677004 | + | 0.454409i | ||||
\(364\) | −279.848 | − | 356.869i | −0.768814 | − | 0.980410i | ||||
\(365\) | − | 263.810i | − | 0.722766i | ||||||
\(366\) | 95.2075 | + | 6.44004i | 0.260130 | + | 0.0175957i | ||||
\(367\) | 14.7313 | − | 25.5153i | 0.0401397 | − | 0.0695240i | −0.845258 | − | 0.534359i | \(-0.820553\pi\) |
0.885397 | + | 0.464835i | \(0.153886\pi\) | |||||||
\(368\) | 60.4938 | + | 34.9261i | 0.164385 | + | 0.0949079i | ||||
\(369\) | −290.830 | − | 225.099i | −0.788156 | − | 0.610024i | ||||
\(370\) | 46.1931 | 0.124846 | ||||||||
\(371\) | 217.166 | − | 170.296i | 0.585353 | − | 0.459020i | ||||
\(372\) | −13.4945 | − | 9.05756i | −0.0362755 | − | 0.0243483i | ||||
\(373\) | 160.449 | + | 277.905i | 0.430157 | + | 0.745054i | 0.996886 | − | 0.0788499i | \(-0.0251248\pi\) |
−0.566729 | + | 0.823904i | \(0.691791\pi\) | |||||||
\(374\) | −93.6952 | − | 54.0950i | −0.250522 | − | 0.144639i | ||||
\(375\) | −14.7719 | − | 30.1130i | −0.0393918 | − | 0.0803012i | ||||
\(376\) | −27.4652 | − | 47.5712i | −0.0730458 | − | 0.126519i | ||||
\(377\) | − | 782.486i | − | 2.07556i | ||||||
\(378\) | −215.036 | − | 13.1765i | −0.568878 | − | 0.0348586i | ||||
\(379\) | 635.564 | 1.67695 | 0.838475 | − | 0.544941i | \(-0.183448\pi\) | ||||
0.838475 | + | 0.544941i | \(0.183448\pi\) | |||||||
\(380\) | −37.2171 | + | 21.4873i | −0.0979398 | + | 0.0565456i | ||||
\(381\) | −264.814 | + | 129.905i | −0.695050 | + | 0.340957i | ||||
\(382\) | 63.4470 | − | 109.893i | 0.166092 | − | 0.287679i | ||||
\(383\) | −605.811 | + | 349.765i | −1.58175 | + | 0.913225i | −0.587147 | + | 0.809480i | \(0.699749\pi\) |
−0.994604 | + | 0.103744i | \(0.966918\pi\) | |||||||
\(384\) | 164.718 | − | 245.406i | 0.428953 | − | 0.639079i | ||||
\(385\) | 86.5171 | − | 215.247i | 0.224720 | − | 0.559083i | ||||
\(386\) | − | 176.765i | − | 0.457940i | ||||||
\(387\) | −163.641 | + | 211.426i | −0.422846 | + | 0.546321i | ||||
\(388\) | 7.18606 | − | 12.4466i | 0.0185208 | − | 0.0320789i | ||||
\(389\) | 345.371 | + | 199.400i | 0.887843 | + | 0.512596i | 0.873236 | − | 0.487297i | \(-0.162017\pi\) |
0.0146067 | + | 0.999893i | \(0.495350\pi\) | |||||||
\(390\) | −12.3799 | + | 183.020i | −0.0317433 | + | 0.469282i | ||||
\(391\) | 213.411 | 0.545808 | ||||||||
\(392\) | 259.018 | − | 270.152i | 0.660760 | − | 0.689163i | ||||
\(393\) | 10.2153 | − | 15.2193i | 0.0259930 | − | 0.0387259i | ||||
\(394\) | 38.6062 | + | 66.8680i | 0.0979854 | + | 0.169716i | ||||
\(395\) | 65.9584 | + | 38.0811i | 0.166983 | + | 0.0964078i | ||||
\(396\) | −48.5121 | + | 356.953i | −0.122505 | + | 0.901397i | ||||
\(397\) | −44.1635 | − | 76.4934i | −0.111243 | − | 0.192678i | 0.805029 | − | 0.593236i | \(-0.202150\pi\) |
−0.916272 | + | 0.400557i | \(0.868817\pi\) | |||||||
\(398\) | 46.1402i | 0.115930i | ||||||||
\(399\) | 123.554 | − | 84.0711i | 0.309659 | − | 0.210704i | ||||
\(400\) | −10.4805 | −0.0262012 | ||||||||
\(401\) | 344.542 | − | 198.921i | 0.859206 | − | 0.496063i | −0.00454048 | − | 0.999990i | \(-0.501445\pi\) |
0.863746 | + | 0.503927i | \(0.168112\pi\) | |||||||
\(402\) | −153.583 | − | 313.084i | −0.382048 | − | 0.778815i | ||||
\(403\) | 24.0612 | − | 41.6753i | 0.0597053 | − | 0.103413i | ||||
\(404\) | −146.994 | + | 84.8671i | −0.363847 | + | 0.210067i | ||||
\(405\) | −126.997 | − | 129.138i | −0.313574 | − | 0.318860i | ||||
\(406\) | 257.668 | − | 36.6839i | 0.634650 | − | 0.0903544i | ||||
\(407\) | 268.598i | 0.659947i | ||||||||
\(408\) | 9.90322 | − | 146.406i | 0.0242726 | − | 0.358838i | ||||
\(409\) | −333.799 | + | 578.156i | −0.816134 | + | 1.41358i | 0.0923773 | + | 0.995724i | \(0.470553\pi\) |
−0.908511 | + | 0.417861i | \(0.862780\pi\) | |||||||
\(410\) | −90.2001 | − | 52.0771i | −0.220000 | − | 0.127017i | ||||
\(411\) | 546.647 | + | 36.9764i | 1.33004 | + | 0.0899670i | ||||
\(412\) | 291.481 | 0.707478 | ||||||||
\(413\) | 423.615 | − | 332.189i | 1.02570 | − | 0.804331i | ||||
\(414\) | 129.511 | + | 316.400i | 0.312828 | + | 0.764251i | ||||
\(415\) | −38.6502 | − | 66.9442i | −0.0931331 | − | 0.161311i | ||||
\(416\) | 684.372 | + | 395.122i | 1.64513 | + | 0.949813i | ||||
\(417\) | −218.878 | + | 107.371i | −0.524888 | + | 0.257484i | ||||
\(418\) | 60.1128 | + | 104.118i | 0.143811 | + | 0.249087i | ||||
\(419\) | 416.317i | 0.993596i | 0.867866 | + | 0.496798i | \(0.165491\pi\) | ||||
−0.867866 | + | 0.496798i | \(0.834509\pi\) | |||||||
\(420\) | 126.470 | − | 9.36050i | 0.301118 | − | 0.0222869i | ||||
\(421\) | 207.519 | 0.492920 | 0.246460 | − | 0.969153i | \(-0.420733\pi\) | ||||
0.246460 | + | 0.969153i | \(0.420733\pi\) | |||||||
\(422\) | −222.349 | + | 128.373i | −0.526893 | + | 0.304202i | ||||
\(423\) | −8.71647 | + | 64.1359i | −0.0206063 | + | 0.151622i | ||||
\(424\) | −150.564 | + | 260.784i | −0.355104 | + | 0.615058i | ||||
\(425\) | −27.7300 | + | 16.0099i | −0.0652470 | + | 0.0376704i | ||||
\(426\) | −184.893 | − | 124.101i | −0.434022 | − | 0.291318i | ||||
\(427\) | 193.383 | − | 27.5317i | 0.452888 | − | 0.0644771i | ||||
\(428\) | − | 220.444i | − | 0.515056i | ||||||
\(429\) | −1064.20 | − | 71.9851i | −2.48066 | − | 0.167797i | ||||
\(430\) | −37.8588 | + | 65.5733i | −0.0880436 | + | 0.152496i | ||||
\(431\) | −572.655 | − | 330.623i | −1.32867 | − | 0.767106i | −0.343573 | − | 0.939126i | \(-0.611637\pi\) |
−0.985093 | + | 0.172020i | \(0.944971\pi\) | |||||||
\(432\) | −53.7042 | + | 17.8555i | −0.124315 | + | 0.0413321i | ||||
\(433\) | −505.711 | −1.16792 | −0.583962 | − | 0.811781i | \(-0.698498\pi\) | ||||
−0.583962 | + | 0.811781i | \(0.698498\pi\) | |||||||
\(434\) | 14.8514 | + | 5.96944i | 0.0342199 | + | 0.0137545i | ||||
\(435\) | 181.678 | + | 121.943i | 0.417650 | + | 0.280329i | ||||
\(436\) | 82.6294 | + | 143.118i | 0.189517 | + | 0.328253i | ||||
\(437\) | −205.380 | − | 118.576i | −0.469977 | − | 0.271341i | ||||
\(438\) | −177.685 | − | 362.216i | −0.405674 | − | 0.826976i | ||||
\(439\) | 214.372 | + | 371.303i | 0.488319 | + | 0.845793i | 0.999910 | − | 0.0134360i | \(-0.00427695\pi\) |
−0.511591 | + | 0.859229i | \(0.670944\pi\) | |||||||
\(440\) | 253.128i | 0.575291i | ||||||||
\(441\) | −436.195 | + | 64.9245i | −0.989104 | + | 0.147221i | ||||
\(442\) | 175.119 | 0.396196 | ||||||||
\(443\) | −4.51372 | + | 2.60600i | −0.0101890 | + | 0.00588261i | −0.505086 | − | 0.863069i | \(-0.668539\pi\) |
0.494897 | + | 0.868952i | \(0.335206\pi\) | |||||||
\(444\) | −131.824 | + | 64.6664i | −0.296901 | + | 0.145645i | ||||
\(445\) | 37.0576 | − | 64.1856i | 0.0832755 | − | 0.144237i | ||||
\(446\) | 187.597 | − | 108.309i | 0.420622 | − | 0.242846i | ||||
\(447\) | −208.647 | + | 310.855i | −0.466772 | + | 0.695424i | ||||
\(448\) | −76.1389 | + | 189.427i | −0.169953 | + | 0.422828i | ||||
\(449\) | − | 249.987i | − | 0.556765i | −0.960470 | − | 0.278383i | \(-0.910202\pi\) | ||
0.960470 | − | 0.278383i | \(-0.0897983\pi\) | |||||||
\(450\) | −40.5643 | − | 31.3963i | −0.0901428 | − | 0.0697695i | ||||
\(451\) | 302.812 | − | 524.486i | 0.671423 | − | 1.16294i | ||||
\(452\) | −483.125 | − | 278.932i | −1.06886 | − | 0.617107i | ||||
\(453\) | −14.1200 | + | 208.746i | −0.0311701 | + | 0.460808i | ||||
\(454\) | −442.270 | −0.974162 | ||||||||
\(455\) | 52.9250 | + | 371.746i | 0.116319 | + | 0.817023i | ||||
\(456\) | −90.8771 | + | 135.394i | −0.199292 | + | 0.296916i | ||||
\(457\) | 295.560 | + | 511.926i | 0.646741 | + | 1.12019i | 0.983897 | + | 0.178739i | \(0.0572017\pi\) |
−0.337156 | + | 0.941449i | \(0.609465\pi\) | |||||||
\(458\) | 49.8195 | + | 28.7633i | 0.108776 | + | 0.0628019i | ||||
\(459\) | −114.818 | + | 129.281i | −0.250148 | + | 0.281658i | ||||
\(460\) | −100.622 | − | 174.282i | −0.218743 | − | 0.378873i | ||||
\(461\) | − | 470.217i | − | 1.01999i | −0.860176 | − | 0.509997i | \(-0.829646\pi\) | ||
0.860176 | − | 0.509997i | \(-0.170354\pi\) | |||||||
\(462\) | −26.1869 | − | 353.811i | −0.0566816 | − | 0.765824i | ||||
\(463\) | 371.655 | 0.802710 | 0.401355 | − | 0.915923i | \(-0.368539\pi\) | ||||
0.401355 | + | 0.915923i | \(0.368539\pi\) | |||||||
\(464\) | 59.2105 | − | 34.1852i | 0.127609 | − | 0.0736750i | ||||
\(465\) | 5.92646 | + | 12.0812i | 0.0127451 | + | 0.0259812i | ||||
\(466\) | −115.620 | + | 200.261i | −0.248113 | + | 0.429744i | ||||
\(467\) | −211.724 | + | 122.239i | −0.453370 | + | 0.261753i | −0.709252 | − | 0.704955i | \(-0.750967\pi\) |
0.255882 | + | 0.966708i | \(0.417634\pi\) | |||||||
\(468\) | −220.883 | − | 539.627i | −0.471973 | − | 1.15305i | ||||
\(469\) | −440.487 | − | 561.720i | −0.939204 | − | 1.19770i | ||||
\(470\) | 18.3308i | 0.0390017i | ||||||||
\(471\) | −30.7078 | + | 453.975i | −0.0651971 | + | 0.963853i | ||||
\(472\) | −293.698 | + | 508.699i | −0.622241 | + | 1.07775i | ||||
\(473\) | −381.288 | − | 220.137i | −0.806107 | − | 0.465406i | ||||
\(474\) | 116.211 | + | 7.86077i | 0.245171 | + | 0.0165839i | ||||
\(475\) | 35.5819 | 0.0749093 | ||||||||
\(476\) | −17.0637 | − | 119.855i | −0.0358480 | − | 0.251797i | ||||
\(477\) | 328.379 | − | 134.414i | 0.688427 | − | 0.281791i | ||||
\(478\) | −31.0487 | − | 53.7779i | −0.0649554 | − | 0.112506i | ||||
\(479\) | 83.3647 | + | 48.1306i | 0.174039 | + | 0.100481i | 0.584489 | − | 0.811402i | \(-0.301295\pi\) |
−0.410450 | + | 0.911883i | \(0.634628\pi\) | |||||||
\(480\) | −198.392 | + | 97.3215i | −0.413317 | + | 0.202753i | ||||
\(481\) | −217.380 | − | 376.512i | −0.451932 | − | 0.782770i | ||||
\(482\) | 273.660i | 0.567759i | ||||||||
\(483\) | 393.691 | + | 578.582i | 0.815095 | + | 1.19789i | ||||
\(484\) | −266.444 | −0.550504 | ||||||||
\(485\) | −10.3055 | + | 5.94987i | −0.0212484 | + | 0.0122678i | ||||
\(486\) | −261.349 | − | 91.7720i | −0.537755 | − | 0.188831i | ||||
\(487\) | −323.308 | + | 559.986i | −0.663877 | + | 1.14987i | 0.315711 | + | 0.948855i | \(0.397757\pi\) |
−0.979588 | + | 0.201014i | \(0.935576\pi\) | |||||||
\(488\) | −184.582 | + | 106.568i | −0.378241 | + | 0.218378i | ||||
\(489\) | 102.922 | + | 69.0817i | 0.210474 | + | 0.141271i | ||||
\(490\) | −119.932 | + | 34.8558i | −0.244760 | + | 0.0711342i | ||||
\(491\) | 562.098i | 1.14480i | 0.819973 | + | 0.572402i | \(0.193988\pi\) | ||||
−0.819973 | + | 0.572402i | \(0.806012\pi\) | |||||||
\(492\) | 330.314 | + | 22.3431i | 0.671369 | + | 0.0454129i | ||||
\(493\) | 104.442 | − | 180.899i | 0.211850 | − | 0.366935i | ||||
\(494\) | −168.528 | − | 97.2999i | −0.341151 | − | 0.196963i | ||||
\(495\) | 182.559 | − | 235.869i | 0.368807 | − | 0.476502i | ||||
\(496\) | 4.20475 | 0.00847731 | ||||||||
\(497\) | −422.937 | − | 169.997i | −0.850980 | − | 0.342046i | ||||
\(498\) | −98.1568 | − | 65.8834i | −0.197102 | − | 0.132296i | ||||
\(499\) | 407.282 | + | 705.433i | 0.816197 | + | 1.41369i | 0.908465 | + | 0.417960i | \(0.137255\pi\) |
−0.0922688 | + | 0.995734i | \(0.529412\pi\) | |||||||
\(500\) | 26.1489 | + | 15.0971i | 0.0522978 | + | 0.0301942i | ||||
\(501\) | 86.8984 | + | 177.145i | 0.173450 | + | 0.353582i | ||||
\(502\) | 91.0033 | + | 157.622i | 0.181281 | + | 0.313989i | ||||
\(503\) | 146.815i | 0.291879i | 0.989294 | + | 0.145939i | \(0.0466205\pi\) | ||||
−0.989294 | + | 0.145939i | \(0.953380\pi\) | |||||||
\(504\) | 415.193 | − | 243.234i | 0.823796 | − | 0.482608i | ||||
\(505\) | 140.535 | 0.278288 | ||||||||
\(506\) | −487.570 | + | 281.499i | −0.963577 | + | 0.556321i | ||||
\(507\) | 1094.84 | − | 537.076i | 2.15945 | − | 1.05932i | ||||
\(508\) | 132.764 | − | 229.954i | 0.261347 | − | 0.452666i | ||||
\(509\) | −543.481 | + | 313.779i | −1.06774 | + | 0.616462i | −0.927564 | − | 0.373664i | \(-0.878101\pi\) |
−0.140179 | + | 0.990126i | \(0.544768\pi\) | |||||||
\(510\) | −27.2905 | + | 40.6590i | −0.0535109 | + | 0.0797236i | ||||
\(511\) | −509.612 | − | 649.870i | −0.997284 | − | 1.27176i | ||||
\(512\) | 133.088i | 0.259938i | ||||||||
\(513\) | 182.329 | − | 60.6204i | 0.355417 | − | 0.118168i | ||||
\(514\) | 94.6708 | − | 163.975i | 0.184184 | − | 0.319017i | ||||
\(515\) | −209.006 | − | 120.669i | −0.405836 | − | 0.234310i | ||||
\(516\) | 16.2429 | − | 240.130i | 0.0314785 | − | 0.465368i | ||||
\(517\) | −106.588 | −0.206166 | ||||||||
\(518\) | 113.792 | − | 89.2331i | 0.219676 | − | 0.172265i | ||||
\(519\) | 394.647 | − | 587.968i | 0.760399 | − | 1.13289i | ||||
\(520\) | −204.859 | − | 354.826i | −0.393960 | − | 0.682358i | ||||
\(521\) | 328.220 | + | 189.498i | 0.629980 | + | 0.363719i | 0.780744 | − | 0.624850i | \(-0.214840\pi\) |
−0.150764 | + | 0.988570i | \(0.548173\pi\) | |||||||
\(522\) | 331.580 | + | 45.0637i | 0.635210 | + | 0.0863290i | ||||
\(523\) | 19.9172 | + | 34.4977i | 0.0380827 | + | 0.0659611i | 0.884439 | − | 0.466657i | \(-0.154542\pi\) |
−0.846356 | + | 0.532618i | \(0.821208\pi\) | |||||||
\(524\) | 16.5007i | 0.0314899i | ||||||||
\(525\) | −94.5597 | − | 45.6449i | −0.180114 | − | 0.0869426i | ||||
\(526\) | −103.701 | −0.197150 | ||||||||
\(527\) | 11.1252 | − | 6.42313i | 0.0211104 | − | 0.0121881i | ||||
\(528\) | −41.0458 | − | 83.6730i | −0.0777383 | − | 0.158472i | ||||
\(529\) | 290.772 | − | 503.633i | 0.549664 | − | 0.952047i | ||||
\(530\) | 87.0261 | − | 50.2446i | 0.164200 | − | 0.0948011i | ||||
\(531\) | 640.554 | − | 262.195i | 1.20632 | − | 0.493777i | ||||
\(532\) | −50.1729 | + | 124.826i | −0.0943100 | + | 0.234635i | ||||
\(533\) | 980.276i | 1.83917i | ||||||||
\(534\) | 7.64950 | − | 113.088i | 0.0143249 | − | 0.211775i | ||||
\(535\) | −91.2609 | + | 158.069i | −0.170581 | + | 0.295455i | ||||
\(536\) | 674.542 | + | 389.447i | 1.25847 | + | 0.726581i | ||||
\(537\) | −339.893 | − | 22.9911i | −0.632947 | − | 0.0428139i | ||||
\(538\) | −118.248 | −0.219792 | ||||||||
\(539\) | −202.675 | − | 697.370i | −0.376021 | − | 1.29382i | ||||
\(540\) | 159.713 | + | 32.8110i | 0.295765 | + | 0.0607611i | ||||
\(541\) | −55.8982 | − | 96.8186i | −0.103324 | − | 0.178962i | 0.809728 | − | 0.586805i | \(-0.199614\pi\) |
−0.913052 | + | 0.407843i | \(0.866281\pi\) | |||||||
\(542\) | 237.526 | + | 137.136i | 0.438239 | + | 0.253018i | ||||
\(543\) | 254.155 | − | 124.676i | 0.468057 | − | 0.229606i | ||||
\(544\) | 105.478 | + | 182.693i | 0.193893 | + | 0.335832i | ||||
\(545\) | − | 136.830i | − | 0.251064i | ||||||
\(546\) | 323.051 | + | 474.767i | 0.591668 | + | 0.869537i | ||||
\(547\) | −1064.02 | −1.94519 | −0.972595 | − | 0.232508i | \(-0.925307\pi\) | ||||
−0.972595 | + | 0.232508i | \(0.925307\pi\) | |||||||
\(548\) | −427.146 | + | 246.613i | −0.779463 | + | 0.450023i | ||||
\(549\) | 248.855 | + | 33.8209i | 0.453287 | + | 0.0616046i | ||||
\(550\) | 42.2355 | − | 73.1541i | 0.0767919 | − | 0.133007i | ||||
\(551\) | −201.023 | + | 116.061i | −0.364833 | + | 0.210637i | ||||
\(552\) | −634.028 | − | 425.563i | −1.14860 | − | 0.770947i | ||||
\(553\) | 236.045 | − | 33.6055i | 0.426845 | − | 0.0607694i | ||||
\(554\) | − | 133.421i | − | 0.240832i | ||||||
\(555\) | 121.295 | + | 8.20467i | 0.218550 | + | 0.0147832i | ||||
\(556\) | 109.734 | − | 190.065i | 0.197364 | − | 0.341844i | ||||
\(557\) | 179.164 | + | 103.440i | 0.321659 | + | 0.185710i | 0.652132 | − | 0.758106i | \(-0.273875\pi\) |
−0.330473 | + | 0.943815i | \(0.607208\pi\) | |||||||
\(558\) | 16.2743 | + | 12.5961i | 0.0291654 | + | 0.0225736i | ||||
\(559\) | 712.637 | 1.27484 | ||||||||
\(560\) | −25.8177 | + | 20.2456i | −0.0461031 | + | 0.0361529i | ||||
\(561\) | −236.420 | − | 158.686i | −0.421425 | − | 0.282863i | ||||
\(562\) | 104.148 | + | 180.390i | 0.185318 | + | 0.320979i | ||||
\(563\) | −14.1856 | − | 8.19005i | −0.0251964 | − | 0.0145472i | 0.487349 | − | 0.873207i | \(-0.337964\pi\) |
−0.512545 | + | 0.858660i | \(0.671297\pi\) | |||||||
\(564\) | −25.6616 | − | 52.3118i | −0.0454992 | − | 0.0927514i | ||||
\(565\) | 230.949 | + | 400.015i | 0.408759 | + | 0.707992i | ||||
\(566\) | − | 206.200i | − | 0.364312i | ||||||
\(567\) | −562.308 | − | 72.7934i | −0.991725 | − | 0.128383i | ||||
\(568\) | 497.369 | 0.875649 | ||||||||
\(569\) | 358.446 | − | 206.949i | 0.629957 | − | 0.363706i | −0.150778 | − | 0.988568i | \(-0.548178\pi\) |
0.780735 | + | 0.624862i | \(0.214845\pi\) | |||||||
\(570\) | 48.8546 | − | 23.9657i | 0.0857099 | − | 0.0420450i | ||||
\(571\) | 174.912 | − | 302.957i | 0.306326 | − | 0.530573i | −0.671229 | − | 0.741250i | \(-0.734233\pi\) |
0.977556 | + | 0.210677i | \(0.0675668\pi\) | |||||||
\(572\) | 831.560 | − | 480.101i | 1.45378 | − | 0.839338i | ||||
\(573\) | 186.120 | − | 277.292i | 0.324817 | − | 0.483931i | ||||
\(574\) | −322.799 | + | 45.9565i | −0.562368 | + | 0.0800636i | ||||
\(575\) | 166.624i | 0.289781i | ||||||||
\(576\) | −160.660 | + | 207.575i | −0.278924 | + | 0.360373i | ||||
\(577\) | −390.984 | + | 677.204i | −0.677616 | + | 1.17366i | 0.298081 | + | 0.954540i | \(0.403653\pi\) |
−0.975697 | + | 0.219124i | \(0.929680\pi\) | |||||||
\(578\) | −244.809 | − | 141.340i | −0.423544 | − | 0.244533i | ||||
\(579\) | 31.3964 | − | 464.154i | 0.0542252 | − | 0.801648i | ||||
\(580\) | −196.974 | −0.339611 | ||||||||
\(581\) | −224.530 | − | 90.2484i | −0.386455 | − | 0.155333i | ||||
\(582\) | −10.1422 | + | 15.1104i | −0.0174264 | + | 0.0259629i | ||||
\(583\) | 292.157 | + | 506.030i | 0.501126 | + | 0.867976i | ||||
\(584\) | 780.398 | + | 450.563i | 1.33630 | + | 0.771512i | ||||
\(585\) | −65.0149 | + | 478.380i | −0.111137 | + | 0.817744i | ||||
\(586\) | −161.843 | − | 280.320i | −0.276183 | − | 0.478363i | ||||
\(587\) | 720.660i | 1.22770i | 0.789422 | + | 0.613850i | \(0.210380\pi\) | ||||
−0.789422 | + | 0.613850i | \(0.789620\pi\) | |||||||
\(588\) | 293.464 | − | 267.365i | 0.499088 | − | 0.454703i | ||||
\(589\) | −14.2754 | −0.0242366 | ||||||||
\(590\) | 169.758 | − | 98.0096i | 0.287725 | − | 0.166118i | ||||
\(591\) | 89.4966 | + | 182.441i | 0.151432 | + | 0.308699i | ||||
\(592\) | 18.9937 | − | 32.8981i | 0.0320840 | − | 0.0555711i | ||||
\(593\) | 141.904 | − | 81.9281i | 0.239298 | − | 0.138159i | −0.375556 | − | 0.926800i | \(-0.622548\pi\) |
0.614854 | + | 0.788641i | \(0.289215\pi\) | |||||||
\(594\) | 91.7918 | − | 446.813i | 0.154532 | − | 0.752210i | ||||
\(595\) | −37.3831 | + | 93.0061i | −0.0628288 | + | 0.156313i | ||||
\(596\) | − | 337.028i | − | 0.565483i | ||||||
\(597\) | −8.19528 | + | 121.156i | −0.0137274 | + | 0.202942i | ||||
\(598\) | 455.640 | − | 789.191i | 0.761939 | − | 1.31972i | ||||
\(599\) | −79.5260 | − | 45.9144i | −0.132765 | − | 0.0766517i | 0.432147 | − | 0.901803i | \(-0.357756\pi\) |
−0.564911 | + | 0.825152i | \(0.691090\pi\) | |||||||
\(600\) | 114.309 | + | 7.73211i | 0.190515 | + | 0.0128868i | ||||
\(601\) | −45.5540 | −0.0757970 | −0.0378985 | − | 0.999282i | \(-0.512066\pi\) | ||||
−0.0378985 | + | 0.999282i | \(0.512066\pi\) | |||||||
\(602\) | 33.4093 | + | 234.667i | 0.0554971 | + | 0.389812i | ||||
\(603\) | −347.675 | − | 849.383i | −0.576575 | − | 1.40860i | ||||
\(604\) | −94.1730 | − | 163.112i | −0.155916 | − | 0.270054i | ||||
\(605\) | 191.053 | + | 110.304i | 0.315790 | + | 0.182321i | ||||
\(606\) | 192.958 | − | 94.6556i | 0.318412 | − | 0.156197i | ||||
\(607\) | −410.405 | − | 710.843i | −0.676121 | − | 1.17108i | −0.976140 | − | 0.217142i | \(-0.930326\pi\) |
0.300019 | − | 0.953933i | \(-0.403007\pi\) | |||||||
\(608\) | − | 234.423i | − | 0.385564i | ||||||
\(609\) | 683.108 | − | 50.5595i | 1.12169 | − | 0.0830205i | ||||
\(610\) | 71.1256 | 0.116599 | ||||||||
\(611\) | 149.411 | − | 86.2627i | 0.244536 | − | 0.141183i | ||||
\(612\) | 20.9616 | − | 154.236i | 0.0342510 | − | 0.252019i | ||||
\(613\) | −217.446 | + | 376.628i | −0.354725 | + | 0.614401i | −0.987071 | − | 0.160285i | \(-0.948759\pi\) |
0.632346 | + | 0.774686i | \(0.282092\pi\) | |||||||
\(614\) | 164.677 | − | 95.0762i | 0.268203 | − | 0.154847i | ||||
\(615\) | −227.601 | − | 152.767i | −0.370082 | − | 0.248401i | ||||
\(616\) | 488.978 | + | 623.557i | 0.793795 | + | 1.01227i | ||||
\(617\) | 880.290i | 1.42673i | 0.700795 | + | 0.713363i | \(0.252829\pi\) | ||||
−0.700795 | + | 0.713363i | \(0.747171\pi\) | |||||||
\(618\) | −368.244 | − | 24.9088i | −0.595864 | − | 0.0403055i | ||||
\(619\) | 535.898 | − | 928.202i | 0.865748 | − | 1.49952i | −0.000554937 | − | 1.00000i | \(-0.500177\pi\) |
0.866303 | − | 0.499519i | \(-0.166490\pi\) | |||||||
\(620\) | −10.4909 | − | 6.05691i | −0.0169208 | − | 0.00976921i | ||||
\(621\) | 283.875 | + | 853.816i | 0.457126 | + | 1.37491i | ||||
\(622\) | −570.961 | −0.917943 | ||||||||
\(623\) | −32.7023 | − | 229.701i | −0.0524916 | − | 0.368702i | ||||
\(624\) | 125.254 | + | 84.0712i | 0.200728 | + | 0.134730i | ||||
\(625\) | −12.5000 | − | 21.6506i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −396.530 | − | 228.937i | −0.633434 | − | 0.365713i | ||||
\(627\) | 139.353 | + | 284.074i | 0.222253 | + | 0.453069i | ||||
\(628\) | −204.805 | − | 354.732i | −0.326122 | − | 0.564860i | ||||
\(629\) | − | 116.059i | − | 0.184513i | ||||||
\(630\) | −160.576 | + | 1.01804i | −0.254882 | + | 0.00161593i | ||||
\(631\) | −561.284 | −0.889516 | −0.444758 | − | 0.895651i | \(-0.646710\pi\) | ||||
−0.444758 | + | 0.895651i | \(0.646710\pi\) | |||||||
\(632\) | −225.302 | + | 130.078i | −0.356491 | + | 0.205820i | ||||
\(633\) | −606.651 | + | 297.593i | −0.958375 | + | 0.470131i | ||||
\(634\) | 90.5365 | − | 156.814i | 0.142802 | − | 0.247340i | ||||
\(635\) | −190.396 | + | 109.925i | −0.299836 | + | 0.173111i | ||||
\(636\) | −178.014 | + | 265.215i | −0.279896 | + | 0.417005i | ||||
\(637\) | 848.493 | + | 813.523i | 1.33201 | + | 1.27712i | ||||
\(638\) | 551.054i | 0.863722i | ||||||||
\(639\) | −463.456 | − | 358.710i | −0.725284 | − | 0.561361i | ||||
\(640\) | 110.149 | − | 190.784i | 0.172108 | − | 0.298100i | ||||
\(641\) | −755.593 | − | 436.242i | −1.17877 | − | 0.680564i | −0.223042 | − | 0.974809i | \(-0.571599\pi\) |
−0.955730 | + | 0.294245i | \(0.904932\pi\) | |||||||
\(642\) | −18.8383 | + | 278.499i | −0.0293431 | + | 0.433798i | ||||
\(643\) | −15.3320 | −0.0238445 | −0.0119223 | − | 0.999929i | \(-0.503795\pi\) | ||||
−0.0119223 | + | 0.999929i | \(0.503795\pi\) | |||||||
\(644\) | −584.539 | − | 234.952i | −0.907670 | − | 0.364832i | ||||
\(645\) | −111.058 | + | 165.460i | −0.172182 | + | 0.256527i | ||||
\(646\) | −25.9741 | − | 44.9885i | −0.0402076 | − | 0.0696417i | ||||
\(647\) | 608.626 | + | 351.390i | 0.940689 | + | 0.543107i | 0.890176 | − | 0.455616i | \(-0.150581\pi\) |
0.0505128 | + | 0.998723i | \(0.483914\pi\) | |||||||
\(648\) | 598.915 | − | 155.126i | 0.924252 | − | 0.239391i | ||||
\(649\) | 569.896 | + | 987.088i | 0.878113 | + | 1.52094i | ||||
\(650\) | 136.727i | 0.210349i | ||||||||
\(651\) | 37.9371 | + | 18.3126i | 0.0582751 | + | 0.0281299i | ||||
\(652\) | −111.588 | −0.171147 | ||||||||
\(653\) | 24.5206 | − | 14.1570i | 0.0375506 | − | 0.0216799i | −0.481107 | − | 0.876662i | \(-0.659765\pi\) |
0.518658 | + | 0.854982i | \(0.326432\pi\) | |||||||
\(654\) | −92.1598 | − | 187.870i | −0.140917 | − | 0.287263i | ||||
\(655\) | 6.83107 | − | 11.8318i | 0.0104291 | − | 0.0180638i | ||||
\(656\) | −74.1773 | + | 42.8263i | −0.113075 | + | 0.0652839i | ||||
\(657\) | −402.235 | − | 982.677i | −0.612230 | − | 1.49570i | ||||
\(658\) | 35.4104 | + | 45.1562i | 0.0538152 | + | 0.0686264i | ||||
\(659\) | 99.8613i | 0.151535i | 0.997126 | + | 0.0757673i | \(0.0241406\pi\) | ||||
−0.997126 | + | 0.0757673i | \(0.975859\pi\) | |||||||
\(660\) | −18.1207 | + | 267.891i | −0.0274556 | + | 0.405895i | ||||
\(661\) | 569.474 | − | 986.358i | 0.861534 | − | 1.49222i | −0.00891369 | − | 0.999960i | \(-0.502837\pi\) |
0.870448 | − | 0.492261i | \(-0.163829\pi\) | |||||||
\(662\) | −406.551 | − | 234.723i | −0.614126 | − | 0.354566i | ||||
\(663\) | 459.832 | + | 31.1040i | 0.693562 | + | 0.0469141i | ||||
\(664\) | 264.045 | 0.397658 | ||||||||
\(665\) | 87.6526 | − | 68.7351i | 0.131808 | − | 0.103361i | ||||
\(666\) | 172.067 | − | 70.4314i | 0.258358 | − | 0.105753i | ||||
\(667\) | −543.494 | − | 941.359i | −0.814833 | − | 1.41133i | ||||
\(668\) | −153.826 | − | 88.8112i | −0.230278 | − | 0.132951i | ||||
\(669\) | 511.837 | − | 251.082i | 0.765077 | − | 0.375309i | ||||
\(670\) | −129.962 | − | 225.101i | −0.193973 | − | 0.335972i | ||||
\(671\) | 413.573i | 0.616354i | ||||||||
\(672\) | −300.721 | + | 622.985i | −0.447501 | + | 0.927061i | ||||
\(673\) | −974.867 | −1.44854 | −0.724270 | − | 0.689517i | \(-0.757823\pi\) | ||||
−0.724270 | + | 0.689517i | \(0.757823\pi\) | |||||||
\(674\) | 358.379 | − | 206.910i | 0.531719 | − | 0.306988i | ||||
\(675\) | −100.938 | − | 89.6462i | −0.149538 | − | 0.132809i | ||||
\(676\) | −548.898 | + | 950.719i | −0.811979 | + | 1.40639i | ||||
\(677\) | 271.115 | − | 156.528i | 0.400465 | − | 0.231209i | −0.286220 | − | 0.958164i | \(-0.592399\pi\) |
0.686685 | + | 0.726955i | \(0.259065\pi\) | |||||||
\(678\) | 586.522 | + | 393.676i | 0.865076 | + | 0.580644i | ||||
\(679\) | −13.8930 | + | 34.5645i | −0.0204609 | + | 0.0509050i | ||||
\(680\) | − | 109.374i | − | 0.160844i | ||||||
\(681\) | −1161.33 | − | 78.5546i | −1.70532 | − | 0.115352i | ||||
\(682\) | −16.9448 | + | 29.3492i | −0.0248457 | + | 0.0430341i | ||||
\(683\) | 755.669 | + | 436.286i | 1.10640 | + | 0.638779i | 0.937894 | − | 0.346922i | \(-0.112773\pi\) |
0.168503 | + | 0.985701i | \(0.446107\pi\) | |||||||
\(684\) | −105.870 | + | 136.785i | −0.154780 | + | 0.199978i | ||||
\(685\) | 408.378 | 0.596172 | ||||||||
\(686\) | −228.110 | + | 317.543i | −0.332522 | + | 0.462890i | ||||
\(687\) | 125.709 | + | 84.3763i | 0.182982 | + | 0.122818i | ||||
\(688\) | 31.1337 | + | 53.9251i | 0.0452524 | + | 0.0783795i | ||||
\(689\) | −819.071 | − | 472.891i | −1.18878 | − | 0.686344i | ||||
\(690\) | 112.227 | + | 228.778i | 0.162648 | + | 0.331563i | ||||
\(691\) | 136.246 | + | 235.985i | 0.197172 | + | 0.341512i | 0.947610 | − | 0.319429i | \(-0.103491\pi\) |
−0.750438 | + | 0.660940i | \(0.770158\pi\) | |||||||
\(692\) | 637.473i | 0.921204i | ||||||||
\(693\) | −5.91957 | − | 933.698i | −0.00854194 | − | 1.34733i | ||||
\(694\) | 400.625 | 0.577270 | ||||||||
\(695\) | −157.369 | + | 90.8572i | −0.226431 | + | 0.130730i | ||||
\(696\) | −671.019 | + | 329.169i | −0.964108 | + | 0.472944i | ||||
\(697\) | −130.842 | + | 226.625i | −0.187722 | + | 0.325143i | ||||
\(698\) | −460.593 | + | 265.923i | −0.659875 | + | 0.380979i | ||||
\(699\) | −339.169 | + | 505.314i | −0.485221 | + | 0.722910i | ||||
\(700\) | 93.5791 | − | 13.3227i | 0.133684 | − | 0.0190325i | ||||
\(701\) | − | 916.260i | − | 1.30707i | −0.756894 | − | 0.653537i | \(-0.773284\pi\) | ||
0.756894 | − | 0.653537i | \(-0.226716\pi\) | |||||||
\(702\) | 232.939 | + | 700.615i | 0.331823 | + | 0.998028i | ||||
\(703\) | −64.4848 | + | 111.691i | −0.0917281 | + | 0.158878i | ||||
\(704\) | −374.343 | − | 216.127i | −0.531737 | − | 0.306999i | ||||
\(705\) | −3.25586 | + | 48.1336i | −0.00461824 | + | 0.0682745i | ||||
\(706\) | 346.440 | 0.490708 | ||||||||
\(707\) | 346.196 | − | 271.478i | 0.489669 | − | 0.383987i | ||||
\(708\) | −347.243 | + | 517.343i | −0.490457 | + | 0.730710i | ||||
\(709\) | 279.280 | + | 483.727i | 0.393907 | + | 0.682267i | 0.992961 | − | 0.118442i | \(-0.0377899\pi\) |
−0.599054 | + | 0.800709i | \(0.704457\pi\) | |||||||
\(710\) | −143.740 | − | 82.9882i | −0.202450 | − | 0.116885i | ||||
\(711\) | 303.754 | + | 41.2821i | 0.427222 | + | 0.0580621i | ||||
\(712\) | 126.582 | + | 219.247i | 0.177784 | + | 0.307931i | ||||
\(713\) | − | 66.8492i | − | 0.0937576i | ||||||
\(714\) | 11.3151 | + | 152.878i | 0.0158475 | + | 0.214115i | ||||
\(715\) | −795.023 | −1.11192 | ||||||||
\(716\) | 265.589 | − | 153.338i | 0.370935 | − | 0.214159i | ||||
\(717\) | −71.9767 | − | 146.726i | −0.100386 | − | 0.204639i | ||||
\(718\) | −235.772 | + | 408.368i | −0.328373 | + | 0.568758i | ||||
\(719\) | −454.362 | + | 262.326i | −0.631937 | + | 0.364849i | −0.781502 | − | 0.623903i | \(-0.785546\pi\) |
0.149565 | + | 0.988752i | \(0.452213\pi\) | |||||||
\(720\) | −39.0393 | + | 15.9798i | −0.0542213 | + | 0.0221942i | ||||
\(721\) | −747.968 | + | 106.487i | −1.03740 | + | 0.147694i | ||||
\(722\) | − | 353.773i | − | 0.489991i | ||||||
\(723\) | −48.6066 | + | 718.584i | −0.0672290 | + | 0.993892i | ||||
\(724\) | −127.420 | + | 220.698i | −0.175995 | + | 0.304832i | ||||
\(725\) | 141.240 | + | 81.5448i | 0.194814 | + | 0.112476i | ||||
\(726\) | 336.613 | + | 22.7693i | 0.463655 | + | 0.0313626i | ||||
\(727\) | 626.396 | 0.861618 | 0.430809 | − | 0.902443i | \(-0.358228\pi\) | ||||
0.430809 | + | 0.902443i | \(0.358228\pi\) | |||||||
\(728\) | −1190.08 | − | 478.346i | −1.63473 | − | 0.657069i | ||||
\(729\) | −669.958 | − | 287.398i | −0.919009 | − | 0.394236i | ||||
\(730\) | −150.357 | − | 260.426i | −0.205969 | − | 0.356748i | ||||
\(731\) | 164.751 | + | 95.1189i | 0.225377 | + | 0.130122i | ||||
\(732\) | −202.976 | + | 99.5699i | −0.277289 | + | 0.136024i | ||||
\(733\) | 222.455 | + | 385.303i | 0.303485 | + | 0.525652i | 0.976923 | − | 0.213592i | \(-0.0685163\pi\) |
−0.673437 | + | 0.739244i | \(0.735183\pi\) | |||||||
\(734\) | − | 33.5841i | − | 0.0457548i | ||||||
\(735\) | −321.113 | + | 70.2233i | −0.436889 | + | 0.0955419i | ||||
\(736\) | 1097.77 | 1.49153 | ||||||||
\(737\) | 1308.89 | − | 755.689i | 1.77597 | − | 1.02536i | ||||
\(738\) | −415.394 | − | 56.4546i | −0.562864 | − | 0.0764967i | ||||
\(739\) | 180.910 | − | 313.346i | 0.244804 | − | 0.424013i | −0.717272 | − | 0.696793i | \(-0.754610\pi\) |
0.962077 | + | 0.272780i | \(0.0879430\pi\) | |||||||
\(740\) | −94.7790 | + | 54.7207i | −0.128080 | + | 0.0739469i | ||||
\(741\) | −425.245 | − | 285.427i | −0.573880 | − | 0.385191i | ||||
\(742\) | 117.321 | − | 291.885i | 0.158115 | − | 0.393376i | ||||
\(743\) | − | 1133.77i | − | 1.52593i | −0.646438 | − | 0.762967i | \(-0.723742\pi\) | ||
0.646438 | − | 0.762967i | \(-0.276258\pi\) | |||||||
\(744\) | −45.8604 | − | 3.10210i | −0.0616404 | − | 0.00416949i | ||||
\(745\) | −139.525 | + | 241.665i | −0.187282 | + | 0.324382i | ||||
\(746\) | 316.782 | + | 182.894i | 0.424640 | + | 0.245166i | ||||
\(747\) | −246.041 | − | 190.433i | −0.329372 | − | 0.254930i | ||||
\(748\) | 256.325 | 0.342681 | ||||||||
\(749\) | 80.5351 | + | 565.680i | 0.107524 | + | 0.755246i | ||||
\(750\) | −31.7452 | − | 21.3075i | −0.0423269 | − | 0.0284101i | ||||
\(751\) | 64.7013 | + | 112.066i | 0.0861536 | + | 0.149222i | 0.905882 | − | 0.423530i | \(-0.139209\pi\) |
−0.819729 | + | 0.572752i | \(0.805876\pi\) | |||||||
\(752\) | 13.0550 | + | 7.53728i | 0.0173603 | + | 0.0100230i | ||||
\(753\) | 210.963 | + | 430.053i | 0.280163 | + | 0.571120i | ||||
\(754\) | −445.974 | − | 772.450i | −0.591478 | − | 1.02447i | ||||
\(755\) | 155.946i | 0.206550i | ||||||||
\(756\) | 456.820 | − | 227.698i | 0.604260 | − | 0.301188i | ||||
\(757\) | 271.769 | 0.359008 | 0.179504 | − | 0.983757i | \(-0.442551\pi\) | ||||
0.179504 | + | 0.983757i | \(0.442551\pi\) | |||||||
\(758\) | 627.412 | − | 362.237i | 0.827721 | − | 0.477885i | ||||
\(759\) | −1330.27 | + | 652.567i | −1.75267 | + | 0.859772i | ||||
\(760\) | −60.7707 | + | 105.258i | −0.0799614 | + | 0.138497i | ||||
\(761\) | −853.490 | + | 492.763i | −1.12154 | + | 0.647520i | −0.941793 | − | 0.336193i | \(-0.890860\pi\) |
−0.179745 | + | 0.983713i | \(0.557527\pi\) | |||||||
\(762\) | −187.379 | + | 279.168i | −0.245904 | + | 0.366362i | ||||
\(763\) | −264.320 | − | 337.068i | −0.346422 | − | 0.441766i | ||||
\(764\) | 300.639i | 0.393507i | ||||||||
\(765\) | −78.8821 | + | 101.916i | −0.103114 | + | 0.133224i | ||||
\(766\) | −398.694 | + | 690.558i | −0.520488 | + | 0.901512i | ||||
\(767\) | −1597.72 | − | 922.445i | −2.08308 | − | 1.20267i | ||||
\(768\) | 46.3568 | − | 685.323i | 0.0603604 | − | 0.892348i | ||||
\(769\) | −1362.49 | −1.77177 | −0.885883 | − | 0.463908i | \(-0.846447\pi\) | ||||
−0.885883 | + | 0.463908i | \(0.846447\pi\) | |||||||
\(770\) | −37.2716 | − | 261.796i | −0.0484047 | − | 0.339995i | ||||
\(771\) | 277.714 | − | 413.754i | 0.360200 | − | 0.536646i | ||||
\(772\) | 209.397 | + | 362.686i | 0.271240 | + | 0.469801i | ||||
\(773\) | −124.445 | − | 71.8482i | −0.160989 | − | 0.0929472i | 0.417341 | − | 0.908750i | \(-0.362962\pi\) |
−0.578330 | + | 0.815803i | \(0.696295\pi\) | |||||||
\(774\) | −41.0411 | + | 301.981i | −0.0530247 | + | 0.390156i | ||||
\(775\) | 5.01497 | + | 8.68618i | 0.00647092 | + | 0.0112080i | ||||
\(776\) | − | 40.6474i | − | 0.0523807i | ||||||
\(777\) | 314.649 | − | 214.100i | 0.404953 | − | 0.275547i | ||||
\(778\) | 454.588 | 0.584304 | ||||||||
\(779\) | 251.836 | − | 145.398i | 0.323281 | − | 0.186647i | ||||
\(780\) | −191.406 | − | 390.186i | −0.245392 | − | 0.500238i | ||||
\(781\) | 482.551 | − | 835.803i | 0.617863 | − | 1.07017i | ||||
\(782\) | 210.674 | − | 121.633i | 0.269404 | − | 0.155540i | ||||
\(783\) | 862.668 | + | 177.224i | 1.10175 | + | 0.226340i | ||||
\(784\) | −24.4902 | + | 99.7464i | −0.0312375 | + | 0.127228i | ||||
\(785\) | 339.146i | 0.432033i | ||||||||
\(786\) | 1.41008 | − | 20.8462i | 0.00179400 | − | 0.0265219i | ||||
\(787\) | −444.098 | + | 769.201i | −0.564292 | + | 0.977383i | 0.432823 | + | 0.901479i | \(0.357518\pi\) |
−0.997115 | + | 0.0759041i | \(0.975816\pi\) | |||||||
\(788\) | −158.425 | − | 91.4666i | −0.201047 | − | 0.116074i | ||||
\(789\) | −272.301 | − | 18.4190i | −0.345122 | − | 0.0233448i | ||||
\(790\) | 86.8166 | 0.109894 | ||||||||
\(791\) | 1341.65 | + | 539.266i | 1.69614 | + | 0.681752i | ||||
\(792\) | 385.949 | + | 942.888i | 0.487309 | + | 1.19052i | ||||
\(793\) | −334.709 | − | 579.734i | −0.422080 | − | 0.731064i | ||||
\(794\) | −87.1941 | − | 50.3415i | −0.109816 | − | 0.0634024i | ||||
\(795\) | 237.440 | − | 116.476i | 0.298667 | − | 0.146511i | ||||
\(796\) | −54.6581 | − | 94.6706i | −0.0686659 | − | 0.118933i | ||||
\(797\) | 140.896i | 0.176783i | 0.996086 | + | 0.0883917i | \(0.0281727\pi\) | ||||
−0.996086 | + | 0.0883917i | \(0.971827\pi\) | |||||||
\(798\) | 74.0533 | − | 153.412i | 0.0927986 | − | 0.192245i | ||||
\(799\) | 46.0555 | 0.0576415 | ||||||||
\(800\) | −142.640 | + | 82.3534i | −0.178300 | + | 0.102942i | ||||
\(801\) | 40.1726 | − | 295.591i | 0.0501531 | − | 0.369027i | ||||
\(802\) | 226.748 | − | 392.740i | 0.282729 | − | 0.489700i | ||||
\(803\) | 1514.30 | − | 874.279i | 1.88580 | − | 1.08877i | ||||
\(804\) | 686.004 | + | 460.449i | 0.853239 | + | 0.572698i | ||||
\(805\) | 321.875 | + | 410.463i | 0.399845 | + | 0.509892i | ||||
\(806\) | − | 54.8544i | − | 0.0680575i | ||||||
\(807\) | −310.500 | − | 21.0029i | −0.384758 | − | 0.0260259i | ||||
\(808\) | −240.022 | + | 415.730i | −0.297057 | + | 0.514518i | ||||
\(809\) | 965.482 | + | 557.421i | 1.19343 | + | 0.689025i | 0.959082 | − | 0.283128i | \(-0.0913723\pi\) |
0.234345 | + | 0.972154i | \(0.424706\pi\) | |||||||
\(810\) | −198.970 | − | 55.1003i | −0.245642 | − | 0.0680251i | ||||
\(811\) | 507.926 | 0.626296 | 0.313148 | − | 0.949704i | \(-0.398616\pi\) | ||||
0.313148 | + | 0.949704i | \(0.398616\pi\) | |||||||
\(812\) | −485.228 | + | 380.504i | −0.597571 | + | 0.468601i | ||||
\(813\) | 599.345 | + | 402.283i | 0.737201 | + | 0.494813i | ||||
\(814\) | 153.086 | + | 265.153i | 0.188067 | + | 0.325741i | ||||
\(815\) | 80.0135 | + | 46.1958i | 0.0981761 | + | 0.0566820i | ||||
\(816\) | 17.7355 | + | 36.1542i | 0.0217347 | + | 0.0443067i | ||||
\(817\) | −105.701 | − | 183.079i | −0.129376 | − | 0.224087i | ||||
\(818\) | 760.988i | 0.930303i | ||||||||
\(819\) | 763.950 | + | 1304.04i | 0.932784 | + | 1.59223i | ||||
\(820\) | 246.764 | 0.300931 | ||||||||
\(821\) | 1390.57 | − | 802.846i | 1.69375 | − | 0.977888i | 0.742310 | − | 0.670057i | \(-0.233730\pi\) |
0.951441 | − | 0.307830i | \(-0.0996030\pi\) | |||||||
\(822\) | 560.711 | − | 275.057i | 0.682130 | − | 0.334619i | ||||
\(823\) | 30.2178 | − | 52.3387i | 0.0367166 | − | 0.0635950i | −0.847083 | − | 0.531460i | \(-0.821643\pi\) |
0.883800 | + | 0.467865i | \(0.154977\pi\) | |||||||
\(824\) | 713.926 | − | 412.185i | 0.866415 | − | 0.500225i | ||||
\(825\) | 123.897 | − | 184.589i | 0.150178 | − | 0.223744i | ||||
\(826\) | 228.853 | − | 569.366i | 0.277061 | − | 0.689305i | ||||
\(827\) | − | 422.706i | − | 0.511132i | −0.966792 | − | 0.255566i | \(-0.917738\pi\) | ||
0.966792 | − | 0.255566i | \(-0.0822619\pi\) | |||||||
\(828\) | −640.541 | − | 495.771i | −0.773600 | − | 0.598757i | ||||
\(829\) | 680.719 | − | 1179.04i | 0.821133 | − | 1.42224i | −0.0837066 | − | 0.996490i | \(-0.526676\pi\) |
0.904839 | − | 0.425753i | \(-0.139991\pi\) | |||||||
\(830\) | −76.3091 | − | 44.0571i | −0.0919386 | − | 0.0530808i | ||||
\(831\) | 23.6978 | − | 350.340i | 0.0285172 | − | 0.421589i | ||||
\(832\) | 699.656 | 0.840932 | ||||||||
\(833\) | 87.5740 | + | 301.326i | 0.105131 | + | 0.361736i | ||||
\(834\) | −154.876 | + | 230.742i | −0.185702 | + | 0.276670i | ||||
\(835\) | 73.5334 | + | 127.364i | 0.0880640 | + | 0.152531i | ||||
\(836\) | −246.679 | − | 142.420i | −0.295071 | − | 0.170359i | ||||
\(837\) | 40.4962 | + | 35.9658i | 0.0483826 | + | 0.0429699i | ||||
\(838\) | 237.278 | + | 410.977i | 0.283148 | + | 0.490426i | ||||
\(839\) | − | 236.551i | − | 0.281944i | −0.990014 | − | 0.140972i | \(-0.954977\pi\) | ||
0.990014 | − | 0.140972i | \(-0.0450227\pi\) | |||||||
\(840\) | 296.526 | − | 201.768i | 0.353007 | − | 0.240200i | ||||
\(841\) | −222.930 | −0.265077 | ||||||||
\(842\) | 204.858 | − | 118.275i | 0.243299 | − | 0.140469i | ||||
\(843\) | 241.436 | + | 492.173i | 0.286401 | + | 0.583836i | ||||
\(844\) | 304.144 | − | 526.792i | 0.360360 | − | 0.624162i | ||||
\(845\) | 787.171 | − | 454.473i | 0.931563 | − | 0.537838i | ||||
\(846\) | 27.9493 | + | 68.2812i | 0.0330370 | + | 0.0807107i | ||||
\(847\) | 683.721 | − | 97.3405i | 0.807226 | − | 0.114924i | ||||
\(848\) | − | 82.6386i | − | 0.0974511i | ||||||
\(849\) | 36.6247 | − | 541.447i | 0.0431386 | − | 0.637747i | ||||
\(850\) | −18.2495 | + | 31.6091i | −0.0214701 | + | 0.0371872i | ||||
\(851\) | −523.031 | − | 301.972i | −0.614607 | − | 0.354844i | ||||
\(852\) | 526.376 | + | 35.6053i | 0.617813 | + | 0.0417902i | ||||
\(853\) | −1005.10 | −1.17832 | −0.589158 | − | 0.808018i | \(-0.700540\pi\) | ||||
−0.589158 | + | 0.808018i | \(0.700540\pi\) | |||||||
\(854\) | 175.211 | − | 137.396i | 0.205165 | − | 0.160886i | ||||
\(855\) | 132.541 | − | 54.2524i | 0.155018 | − | 0.0634531i | ||||
\(856\) | −311.731 | − | 539.934i | −0.364172 | − | 0.630764i | ||||
\(857\) | −682.205 | − | 393.871i | −0.796039 | − | 0.459593i | 0.0460453 | − | 0.998939i | \(-0.485338\pi\) |
−0.842084 | + | 0.539346i | \(0.818671\pi\) | |||||||
\(858\) | −1091.58 | + | 535.476i | −1.27224 | + | 0.624098i | ||||
\(859\) | −198.128 | − | 343.168i | −0.230650 | − | 0.399497i | 0.727350 | − | 0.686267i | \(-0.240752\pi\) |
−0.958000 | + | 0.286770i | \(0.907418\pi\) | |||||||
\(860\) | − | 179.391i | − | 0.208594i | ||||||
\(861\) | −855.778 | + | 63.3394i | −0.993935 | + | 0.0735650i | ||||
\(862\) | −753.747 | −0.874417 | ||||||||
\(863\) | 867.795 | − | 501.021i | 1.00556 | − | 0.580558i | 0.0956683 | − | 0.995413i | \(-0.469501\pi\) |
0.909887 | + | 0.414855i | \(0.136168\pi\) | |||||||
\(864\) | −590.613 | + | 665.010i | −0.683580 | + | 0.769687i | ||||
\(865\) | 263.906 | − | 457.098i | 0.305093 | − | 0.528437i | ||||
\(866\) | −499.225 | + | 288.228i | −0.576472 | + | 0.332826i | ||||
\(867\) | −617.722 | − | 414.618i | −0.712482 | − | 0.478221i | ||||
\(868\) | −37.5437 | + | 5.34505i | −0.0432531 | + | 0.00615789i | ||||
\(869\) | 504.811i | 0.580911i | ||||||||
\(870\) | 248.848 | + | 16.8326i | 0.286033 | + | 0.0193479i | ||||
\(871\) | −1223.18 | + | 2118.60i | −1.40433 | + | 2.43238i | ||||
\(872\) | 404.769 | + | 233.693i | 0.464184 | + | 0.267997i | ||||
\(873\) | −29.3155 | + | 37.8759i | −0.0335802 | + | 0.0433859i | ||||
\(874\) | −270.328 | −0.309299 | ||||||||
\(875\) | −72.6160 | − | 29.1875i | −0.0829898 | − | 0.0333572i | ||||
\(876\) | 793.658 | + | 532.708i | 0.906003 | + | 0.608114i | ||||
\(877\) | −834.681 | − | 1445.71i | −0.951746 | − | 1.64847i | −0.741646 | − | 0.670792i | \(-0.765954\pi\) |
−0.210100 | − | 0.977680i | \(-0.567379\pi\) | |||||||
\(878\) | 423.245 | + | 244.361i | 0.482056 | + | 0.278315i | ||||
\(879\) | −375.183 | − | 764.820i | −0.426829 | − | 0.870103i | ||||
\(880\) | −34.7330 | − | 60.1592i | −0.0394693 | − | 0.0683628i | ||||
\(881\) | 1309.94i | 1.48688i | 0.668803 | + | 0.743440i | \(0.266807\pi\) | ||||
−0.668803 | + | 0.743440i | \(0.733193\pi\) | |||||||
\(882\) | −393.597 | + | 312.699i | −0.446255 | + | 0.354534i | ||||
\(883\) | −33.4317 | −0.0378615 | −0.0189307 | − | 0.999821i | \(-0.506026\pi\) | ||||
−0.0189307 | + | 0.999821i | \(0.506026\pi\) | |||||||
\(884\) | −359.309 | + | 207.447i | −0.406458 | + | 0.234668i | ||||
\(885\) | 463.163 | − | 227.205i | 0.523348 | − | 0.256729i | ||||
\(886\) | −2.97055 | + | 5.14515i | −0.00335277 | + | 0.00580716i | ||||
\(887\) | −1250.78 | + | 722.138i | −1.41012 | + | 0.814135i | −0.995399 | − | 0.0958119i | \(-0.969455\pi\) |
−0.414724 | + | 0.909947i | \(0.636122\pi\) | |||||||
\(888\) | −231.432 | + | 344.801i | −0.260622 | + | 0.388289i | ||||
\(889\) | −256.676 | + | 638.587i | −0.288724 | + | 0.718321i | ||||
\(890\) | − | 84.4832i | − | 0.0949250i | ||||||
\(891\) | 320.391 | − | 1156.95i | 0.359586 | − | 1.29849i | ||||
\(892\) | −256.609 | + | 444.459i | −0.287678 | + | 0.498273i | ||||
\(893\) | −44.3223 | − | 25.5895i | −0.0496331 | − | 0.0286557i | ||||
\(894\) | −28.8011 | + | 425.785i | −0.0322159 | + | 0.476270i | ||||
\(895\) | −253.920 | −0.283709 | ||||||||
\(896\) | −97.2034 | − | 682.758i | −0.108486 | − | 0.762006i | ||||
\(897\) | 1336.61 | − | 1991.35i | 1.49008 | − | 2.22001i | ||||
\(898\) | −142.479 | − | 246.781i | −0.158663 | − | 0.274812i | ||||
\(899\) | −56.6650 | − | 32.7156i | −0.0630312 | − | 0.0363911i | ||||
\(900\) | 120.422 | + | 16.3661i | 0.133802 | + | 0.0181846i | ||||
\(901\) | −126.238 | − | 218.650i | −0.140109 | − | 0.242675i | ||||
\(902\) | − | 690.345i | − | 0.765349i | ||||||
\(903\) | 46.0462 | + | 622.130i | 0.0509925 | + | 0.688959i | ||||
\(904\) | −1577.76 | −1.74531 | ||||||||
\(905\) | 182.733 | − | 105.501i | 0.201915 | − | 0.116575i | ||||
\(906\) | 105.035 | + | 214.116i | 0.115933 | + | 0.236332i | ||||
\(907\) | 460.451 | − | 797.525i | 0.507664 | − | 0.879300i | −0.492297 | − | 0.870428i | \(-0.663842\pi\) |
0.999961 | − | 0.00887246i | \(-0.00282423\pi\) | |||||||
\(908\) | 907.450 | − | 523.916i | 0.999394 | − | 0.577000i | ||||
\(909\) | 523.487 | − | 214.277i | 0.575894 | − | 0.235728i | ||||
\(910\) | 264.121 | + | 336.813i | 0.290243 | + | 0.370125i | ||||
\(911\) | 49.6100i | 0.0544566i | 0.999629 | + | 0.0272283i | \(0.00866811\pi\) | ||||
−0.999629 | + | 0.0272283i | \(0.991332\pi\) | |||||||
\(912\) | 3.02008 | − | 44.6479i | 0.00331149 | − | 0.0489560i | ||||
\(913\) | 256.178 | − | 443.713i | 0.280589 | − | 0.485995i | ||||
\(914\) | 583.540 | + | 336.907i | 0.638446 | + | 0.368607i | ||||
\(915\) | 186.764 | + | 12.6331i | 0.204113 | + | 0.0138067i | ||||
\(916\) | −136.293 | −0.148791 | ||||||||
\(917\) | −6.02823 | − | 42.3423i | −0.00657386 | − | 0.0461748i | ||||
\(918\) | −39.6623 | + | 193.063i | −0.0432051 | + | 0.210308i | ||||
\(919\) | 481.652 | + | 834.246i | 0.524105 | + | 0.907776i | 0.999606 | + | 0.0280610i | \(0.00893327\pi\) |
−0.475502 | + | 0.879715i | \(0.657733\pi\) | |||||||
\(920\) | −492.906 | − | 284.579i | −0.535767 | − | 0.309325i | ||||
\(921\) | 449.300 | − | 220.404i | 0.487840 | − | 0.239310i | ||||
\(922\) | −267.998 | − | 464.187i | −0.290671 | − | 0.503456i | ||||
\(923\) | 1562.13i | 1.69245i | ||||||||
\(924\) | 472.858 | + | 694.928i | 0.511751 | + | 0.752087i | ||||
\(925\) | 90.6147 | 0.0979618 | ||||||||
\(926\) | 366.888 | − | 211.823i | 0.396207 | − | 0.228750i | ||||
\(927\) | −962.522 | − | 130.813i | −1.03832 | − | 0.141114i | ||||
\(928\) | 537.240 | − | 930.526i | 0.578922 | − | 1.00272i | ||||
\(929\) | −908.656 | + | 524.613i | −0.978101 | + | 0.564707i | −0.901696 | − | 0.432370i | \(-0.857677\pi\) |
−0.0764046 | + | 0.997077i | \(0.524344\pi\) | |||||||
\(930\) | 12.7361 | + | 8.54853i | 0.0136947 | + | 0.00919197i | ||||
\(931\) | 83.1455 | − | 338.645i | 0.0893078 | − | 0.363743i | ||||
\(932\) | − | 547.860i | − | 0.587833i | ||||||
\(933\) | −1499.25 | − | 101.412i | −1.60691 | − | 0.108695i | ||||
\(934\) | −139.339 | + | 241.342i | −0.149185 | + | 0.258396i | ||||
\(935\) | −183.797 | − | 106.115i | −0.196575 | − | 0.113492i | ||||
\(936\) | −1304.10 | − | 1009.36i | −1.39327 | − | 1.07837i | ||||
\(937\) | 1632.96 | 1.74275 | 0.871377 | − | 0.490614i | \(-0.163228\pi\) | ||||
0.871377 | + | 0.490614i | \(0.163228\pi\) | |||||||
\(938\) | −754.987 | − | 303.462i | −0.804890 | − | 0.323520i | ||||
\(939\) | −1000.56 | − | 671.579i | −1.06556 | − | 0.715207i | ||||
\(940\) | −21.7148 | − | 37.6112i | −0.0231009 | − | 0.0400119i | ||||
\(941\) | 858.944 | + | 495.912i | 0.912799 | + | 0.527005i | 0.881331 | − | 0.472500i | \(-0.156648\pi\) |
0.0314686 | + | 0.999505i | \(0.489982\pi\) | |||||||
\(942\) | 228.427 | + | 465.654i | 0.242491 | + | 0.494325i | ||||
\(943\) | 680.873 | + | 1179.31i | 0.722029 | + | 1.25059i | ||||
\(944\) | − | 161.199i | − | 0.170762i | ||||||
\(945\) | −421.826 | − | 25.8478i | −0.446376 | − | 0.0273522i | ||||
\(946\) | −501.864 | −0.530512 | ||||||||
\(947\) | −751.376 | + | 433.807i | −0.793428 | + | 0.458086i | −0.841168 | − | 0.540774i | \(-0.818131\pi\) |
0.0477401 | + | 0.998860i | \(0.484798\pi\) | |||||||
\(948\) | −247.754 | + | 121.536i | −0.261344 | + | 0.128202i | ||||
\(949\) | −1415.13 | + | 2451.07i | −1.49118 | + | 2.58280i | ||||
\(950\) | 35.1255 | − | 20.2797i | 0.0369742 | − | 0.0213471i | ||||
\(951\) | 265.586 | − | 395.686i | 0.279271 | − | 0.416073i | ||||
\(952\) | −211.282 | − | 269.432i | −0.221935 | − | 0.283017i | ||||
\(953\) | − | 318.011i | − | 0.333695i | −0.985983 | − | 0.166847i | \(-0.946641\pi\) | ||
0.985983 | − | 0.166847i | \(-0.0533587\pi\) | |||||||
\(954\) | 247.559 | − | 319.849i | 0.259496 | − | 0.335271i | ||||
\(955\) | 124.461 | − | 215.573i | 0.130325 | − | 0.225730i | ||||
\(956\) | 127.411 | + | 73.5610i | 0.133276 | + | 0.0769467i | ||||
\(957\) | −97.8766 | + | 1446.98i | −0.102274 | + | 1.51199i | ||||
\(958\) | 109.727 | 0.114538 | ||||||||
\(959\) | 1006.00 | − | 788.881i | 1.04901 | − | 0.822608i | ||||
\(960\) | −109.035 | + | 162.446i | −0.113578 | + | 0.169215i | ||||
\(961\) | 478.488 | + | 828.766i | 0.497906 | + | 0.862399i | ||||
\(962\) | −429.183 | − | 247.789i | −0.446136 | − | 0.257577i | ||||
\(963\) | −98.9321 | + | 727.944i | −0.102733 | + | 0.755913i | ||||
\(964\) | −324.180 | − | 561.496i | −0.336286 | − | 0.582464i | ||||
\(965\) | − | 346.751i | − | 0.359327i | ||||||
\(966\) | 718.402 | + | 346.779i | 0.743688 | + | 0.358985i | ||||
\(967\) | 1091.46 | 1.12871 | 0.564356 | − | 0.825532i | \(-0.309125\pi\) | ||||
0.564356 | + | 0.825532i | \(0.309125\pi\) | |||||||
\(968\) | −652.602 | + | 376.780i | −0.674176 | + | 0.389236i | ||||
\(969\) | −60.2130 | − | 122.746i | −0.0621393 | − | 0.126673i | ||||
\(970\) | −6.78221 | + | 11.7471i | −0.00699196 | + | 0.0121104i | ||||
\(971\) | −262.807 | + | 151.732i | −0.270656 | + | 0.156264i | −0.629186 | − | 0.777255i | \(-0.716612\pi\) |
0.358529 | + | 0.933518i | \(0.383278\pi\) | |||||||
\(972\) | 644.950 | − | 121.298i | 0.663529 | − | 0.124792i | ||||
\(973\) | −212.152 | + | 527.815i | −0.218039 | + | 0.542462i | ||||
\(974\) | 737.072i | 0.756748i | ||||||||
\(975\) | −24.2850 | + | 359.021i | −0.0249077 | + | 0.368227i | ||||
\(976\) | 29.2455 | − | 50.6548i | 0.0299647 | − | 0.0519004i | ||||
\(977\) | 1555.40 | + | 898.010i | 1.59202 | + | 0.919151i | 0.992961 | + | 0.118443i | \(0.0377904\pi\) |
0.599055 | + | 0.800708i | \(0.295543\pi\) | |||||||
\(978\) | 140.975 | + | 9.53583i | 0.144146 | + | 0.00975034i | ||||
\(979\) | 491.244 | 0.501781 | ||||||||
\(980\) | 204.787 | − | 213.590i | 0.208967 | − | 0.217949i | ||||
\(981\) | −208.627 | − | 509.684i | −0.212668 | − | 0.519556i | ||||
\(982\) | 320.365 | + | 554.889i | 0.326238 | + | 0.565060i | ||||
\(983\) | −1330.76 | − | 768.312i | −1.35377 | − | 0.781599i | −0.364994 | − | 0.931010i | \(-0.618929\pi\) |
−0.988775 | + | 0.149411i | \(0.952262\pi\) | |||||||
\(984\) | 840.634 | − | 412.373i | 0.854303 | − | 0.419079i | ||||
\(985\) | 75.7320 | + | 131.172i | 0.0768852 | + | 0.133169i | ||||
\(986\) | − | 238.105i | − | 0.241486i | ||||||
\(987\) | 84.9612 | + | 124.862i | 0.0860802 | + | 0.126507i | ||||
\(988\) | 461.049 | 0.466649 | ||||||||
\(989\) | 857.328 | − | 494.978i | 0.866863 | − | 0.500484i | ||||
\(990\) | 45.7858 | − | 336.892i | 0.0462483 | − | 0.340295i | ||||
\(991\) | −427.784 | + | 740.943i | −0.431669 | + | 0.747672i | −0.997017 | − | 0.0771801i | \(-0.975408\pi\) |
0.565349 | + | 0.824852i | \(0.308742\pi\) | |||||||
\(992\) | 57.2269 | − | 33.0400i | 0.0576884 | − | 0.0333064i | ||||
\(993\) | −1025.84 | − | 688.552i | −1.03308 | − | 0.693406i | ||||
\(994\) | −514.402 | + | 73.2347i | −0.517507 | + | 0.0736768i | ||||
\(995\) | 90.5110i | 0.0909658i | ||||||||
\(996\) | 279.444 | + | 18.9022i | 0.280567 | + | 0.0189781i | ||||
\(997\) | 346.356 | − | 599.906i | 0.347398 | − | 0.601711i | −0.638388 | − | 0.769714i | \(-0.720399\pi\) |
0.985786 | + | 0.168003i | \(0.0537320\pi\) | |||||||
\(998\) | 804.117 | + | 464.257i | 0.805728 | + | 0.465188i | ||||
\(999\) | 464.328 | − | 154.379i | 0.464793 | − | 0.154533i |
(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 | 105.3.t.b.11.12 | yes | 36 | |
3.2 | odd | 2 | inner | 105.3.t.b.11.7 | ✓ | 36 | |
7.2 | even | 3 | inner | 105.3.t.b.86.7 | yes | 36 | |
21.2 | odd | 6 | inner | 105.3.t.b.86.12 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.t.b.11.7 | ✓ | 36 | 3.2 | odd | 2 | inner | |
105.3.t.b.11.12 | yes | 36 | 1.1 | even | 1 | trivial | |
105.3.t.b.86.7 | yes | 36 | 7.2 | even | 3 | inner | |
105.3.t.b.86.12 | yes | 36 | 21.2 | odd | 6 | inner |