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 | 11.7 | ||
Character | \(\chi\) | \(=\) | 105.11 |
Dual form | 105.3.t.b.86.7 |
$q$-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 | −0.726061 | − | 0.687630i | \(-0.758651\pi\) |
0.232474 | + | 0.972603i | \(0.425318\pi\) | |||||||
\(3\) | −0.202464 | − | 2.99316i | −0.0674880 | − | 0.997720i | ||||
\(4\) | −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 | ||||||
\(9\) | −8.91802 | + | 1.21201i | −0.990891 | + | 0.134668i | ||||
\(10\) | 1.27444 | − | 2.20739i | 0.127444 | − | 0.220739i | ||||
\(11\) | −12.8353 | − | 7.41045i | −1.16684 | − | 0.673678i | −0.213909 | − | 0.976854i | \(-0.568620\pi\) |
−0.952935 | + | 0.303176i | \(0.901953\pi\) | |||||||
\(12\) | 7.27389 | + | 3.56821i | 0.606157 | + | 0.297351i | ||||
\(13\) | −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 | 0.654168 | − | 0.756349i | \(-0.273019\pi\) |
−0.327933 | + | 0.944701i | \(0.606352\pi\) | |||||||
\(18\) | 8.11286 | − | 6.27925i | 0.450714 | − | 0.348847i | ||||
\(19\) | 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 | ||||||
\(21\) | −19.9691 | − | 6.49898i | −0.950908 | − | 0.309475i | ||||
\(22\) | 16.8942 | 0.767919 | ||||||||
\(23\) | 28.8602 | − | 16.6624i | 1.25479 | − | 0.724453i | 0.282733 | − | 0.959199i | \(-0.408759\pi\) |
0.972057 | + | 0.234746i | \(0.0754257\pi\) | |||||||
\(24\) | −22.8618 | + | 1.54642i | −0.952574 | + | 0.0644342i | ||||
\(25\) | 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 | \(-0.809887\pi\) | ||
0.826880 | − | 0.562378i | \(-0.190113\pi\) | |||||||
\(30\) | −6.86510 | − | 3.36768i | −0.228837 | − | 0.112256i | ||||
\(31\) | −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 | ||||
\(33\) | −19.5820 | + | 39.9184i | −0.593394 | + | 1.20965i | ||||
\(34\) | −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 | ||||
\(39\) | 4.85700 | + | 71.8042i | 0.124538 | + | 1.84113i | ||||
\(40\) | 8.53955 | + | 14.7909i | 0.213489 | + | 0.369773i | ||||
\(41\) | 40.8628i | 0.996654i | 0.866989 | + | 0.498327i | \(0.166052\pi\) | ||||
−0.866989 | + | 0.498327i | \(0.833948\pi\) | |||||||
\(42\) | 23.4170 | − | 4.96565i | 0.557548 | − | 0.118230i | ||||
\(43\) | −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 | ||||
\(45\) | 15.9146 | − | 12.3177i | 0.353658 | − | 0.273727i | ||||
\(46\) | −18.9933 | + | 32.8974i | −0.412899 | + | 0.715162i | ||||
\(47\) | 6.22822 | − | 3.59586i | 0.132515 | − | 0.0765077i | −0.432277 | − | 0.901741i | \(-0.642290\pi\) |
0.564792 | + | 0.825233i | \(0.308956\pi\) | |||||||
\(48\) | −5.22122 | + | 3.50451i | −0.108775 | + | 0.0730106i | ||||
\(49\) | −35.3694 | − | 33.9117i | −0.721825 | − | 0.692076i | ||||
\(50\) | 5.69945i | 0.113989i | ||||||||
\(51\) | 8.46118 | − | 17.2483i | 0.165905 | − | 0.338203i | ||||
\(52\) | 32.3935 | − | 56.1072i | 0.622952 | − | 1.07899i | ||||
\(53\) | −34.1430 | − | 19.7125i | −0.644207 | − | 0.371933i | 0.142026 | − | 0.989863i | \(-0.454638\pi\) |
−0.786233 | + | 0.617930i | \(0.787972\pi\) | |||||||
\(54\) | −20.4374 | − | 23.0118i | −0.378470 | − | 0.426144i | ||||
\(55\) | 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 | −0.185191 | − | 0.982703i | \(-0.559290\pi\) |
−0.943641 | + | 0.330971i | \(0.892624\pi\) | |||||||
\(60\) | −18.0752 | + | 1.22265i | −0.301253 | + | 0.0203774i | ||||
\(61\) | 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 | ||||||
\(63\) | −15.4095 | + | 61.0864i | −0.244595 | + | 0.969625i | ||||
\(64\) | −29.1652 | −0.455706 | ||||||||
\(65\) | 46.4554 | − | 26.8210i | 0.714698 | − | 0.412631i | ||||
\(66\) | −3.42047 | − | 50.5671i | −0.0518253 | − | 0.766168i | ||||
\(67\) | 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 | \(0.151640\pi\) | ||||
−0.888656 | + | 0.458575i | \(0.848360\pi\) | |||||||
\(72\) | 9.25737 | + | 68.1159i | 0.128575 | + | 0.946054i | ||||
\(73\) | 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 | ||||
\(75\) | −13.4669 | − | 6.60621i | −0.179559 | − | 0.0880827i | ||||
\(76\) | −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 | ||||
\(81\) | 78.0620 | − | 21.6175i | 0.963729 | − | 0.266883i | ||||
\(82\) | −23.2896 | − | 40.3387i | −0.284019 | − | 0.491936i | ||||
\(83\) | 34.5698i | 0.416504i | 0.978075 | + | 0.208252i | \(0.0667774\pi\) | ||||
−0.978075 | + | 0.208252i | \(0.933223\pi\) | |||||||
\(84\) | 42.1647 | − | 37.9285i | 0.501961 | − | 0.451530i | ||||
\(85\) | −14.3197 | −0.168467 | ||||||||
\(86\) | 29.3253 | − | 16.9310i | 0.340992 | − | 0.196872i | ||||
\(87\) | −97.6307 | + | 6.60395i | −1.12219 | + | 0.0759075i | ||||
\(88\) | −56.6011 | + | 98.0360i | −0.643194 | + | 1.11405i | ||||
\(89\) | −28.7047 | + | 16.5727i | −0.322525 | + | 0.186210i | −0.652517 | − | 0.757774i | \(-0.726287\pi\) |
0.329993 | + | 0.943983i | \(0.392954\pi\) | |||||||
\(90\) | −8.69006 | + | 21.2302i | −0.0965562 | + | 0.235891i | ||||
\(91\) | −62.6271 | + | 155.811i | −0.688210 | + | 1.71221i | ||||
\(92\) | 89.9987i | 0.978247i | ||||||||
\(93\) | 5.40289 | + | 2.65039i | 0.0580956 | + | 0.0284988i | ||||
\(94\) | −4.09889 | + | 7.09949i | −0.0436052 | + | 0.0755264i | ||||
\(95\) | −13.7808 | − | 7.95635i | −0.145061 | − | 0.0837511i | ||||
\(96\) | 43.5235 | − | 88.7238i | 0.453370 | − | 0.924206i | ||||
\(97\) | −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 | 0.205731 | − | 0.978608i | \(-0.434043\pi\) |
−0.744634 | + | 0.667473i | \(0.767376\pi\) | |||||||
\(102\) | 1.47795 | + | 21.8495i | 0.0144897 | + | 0.214211i | ||||
\(103\) | −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 | ||||||||
\(105\) | 45.9360 | − | 9.74087i | 0.437486 | − | 0.0927702i | ||||
\(106\) | 44.9401 | 0.423963 | ||||||||
\(107\) | 70.6904 | − | 40.8131i | 0.660658 | − | 0.381431i | −0.131870 | − | 0.991267i | \(-0.542098\pi\) |
0.792528 | + | 0.609836i | \(0.208765\pi\) | |||||||
\(108\) | −69.1934 | − | 23.0053i | −0.640679 | − | 0.213012i | ||||
\(109\) | 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 | \(-0.632967\pi\) | ||
0.405684 | − | 0.914013i | \(-0.367033\pi\) | |||||||
\(114\) | −10.7178 | + | 21.8485i | −0.0940155 | + | 0.191653i | ||||
\(115\) | −37.2583 | + | 64.5333i | −0.323985 | + | 0.561159i | ||||
\(116\) | 76.2878 | + | 44.0448i | 0.657654 | + | 0.379697i | ||||
\(117\) | 213.938 | − | 29.0755i | 1.82853 | − | 0.248509i | ||||
\(118\) | 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 | ||||
\(123\) | 122.309 | − | 8.27325i | 0.994382 | − | 0.0672622i | ||||
\(124\) | −2.70873 | − | 4.69166i | −0.0218446 | − | 0.0378360i | ||||
\(125\) | 11.1803i | 0.0894427i | ||||||||
\(126\) | −19.6041 | − | 69.0855i | −0.155588 | − | 0.548298i | ||||
\(127\) | −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 | ||||
\(129\) | 6.01445 | + | 88.9156i | 0.0466236 | + | 0.689268i | ||||
\(130\) | −30.5730 | + | 52.9540i | −0.235177 | + | 0.407339i | ||||
\(131\) | −5.29133 | + | 3.05495i | −0.0403918 | + | 0.0233202i | −0.520060 | − | 0.854130i | \(-0.674090\pi\) |
0.479668 | + | 0.877450i | \(0.340757\pi\) | |||||||
\(132\) | −66.9203 | − | 99.7018i | −0.506972 | − | 0.755316i | ||||
\(133\) | 49.3174 | − | 7.02125i | 0.370807 | − | 0.0527914i | ||||
\(134\) | 116.242i | 0.867475i | ||||||||
\(135\) | −40.0910 | − | 45.1410i | −0.296970 | − | 0.334378i | ||||
\(136\) | 24.4568 | − | 42.3603i | 0.179829 | − | 0.311473i | ||||
\(137\) | −158.164 | − | 91.3161i | −1.15448 | − | 0.666541i | −0.204507 | − | 0.978865i | \(-0.565559\pi\) |
−0.949976 | + | 0.312324i | \(0.898892\pi\) | |||||||
\(138\) | 102.313 | + | 50.1896i | 0.741397 | + | 0.363693i | ||||
\(139\) | −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 | ||||
\(144\) | 11.5467 | + | 14.9184i | 0.0801852 | + | 0.103600i | ||||
\(145\) | 36.4680 | + | 63.1644i | 0.251503 | + | 0.435616i | ||||
\(146\) | 134.483i | 0.921119i | ||||||||
\(147\) | −94.3421 | + | 112.732i | −0.641783 | + | 0.766886i | ||||
\(148\) | −48.9437 | −0.330701 | ||||||||
\(149\) | 108.076 | − | 62.3975i | 0.725340 | − | 0.418775i | −0.0913747 | − | 0.995817i | \(-0.529126\pi\) |
0.816715 | + | 0.577041i | \(0.195793\pi\) | |||||||
\(150\) | 17.0594 | − | 1.15393i | 0.113729 | − | 0.00769289i | ||||
\(151\) | −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 | ||||||
\(156\) | −174.496 | − | 85.5993i | −1.11857 | − | 0.548714i | ||||
\(157\) | −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 | ||||
\(159\) | −52.0898 | + | 106.186i | −0.327609 | + | 0.667840i | ||||
\(160\) | −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 | ||||
\(165\) | −6.70977 | − | 99.1950i | −0.0406653 | − | 0.601182i | ||||
\(166\) | −19.7029 | − | 34.1264i | −0.118692 | − | 0.205581i | ||||
\(167\) | − | 65.7703i | − | 0.393834i | −0.980420 | − | 0.196917i | \(-0.936907\pi\) | ||
0.980420 | − | 0.196917i | \(-0.0630929\pi\) | |||||||
\(168\) | −49.6392 | + | 152.524i | −0.295472 | + | 0.907880i | ||||
\(169\) | 406.493 | 2.40529 | ||||||||
\(170\) | 14.1360 | − | 8.16144i | 0.0831532 | − | 0.0480085i | ||||
\(171\) | −39.2016 | − | 50.6488i | −0.229249 | − | 0.296192i | ||||
\(172\) | 40.1131 | − | 69.4779i | 0.233216 | − | 0.403941i | ||||
\(173\) | −204.420 | + | 118.022i | −1.18162 | + | 0.682209i | −0.956389 | − | 0.292096i | \(-0.905647\pi\) |
−0.225232 | + | 0.974305i | \(0.572314\pi\) | |||||||
\(174\) | 92.6146 | − | 62.1634i | 0.532268 | − | 0.357261i | ||||
\(175\) | −21.5975 | − | 27.5417i | −0.123415 | − | 0.157381i | ||||
\(176\) | 31.0661i | 0.176512i | ||||||||
\(177\) | −101.609 | + | 207.133i | −0.574063 | + | 1.17024i | ||||
\(178\) | 18.8910 | − | 32.7202i | 0.106129 | − | 0.183821i | ||||
\(179\) | 98.3428 | + | 56.7782i | 0.549401 | + | 0.317197i | 0.748880 | − | 0.662705i | \(-0.230592\pi\) |
−0.199479 | + | 0.979902i | \(0.563925\pi\) | |||||||
\(180\) | 7.31915 | + | 53.8544i | 0.0406620 | + | 0.299191i | ||||
\(181\) | 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 | ||||
\(186\) | −6.84418 | + | 0.462955i | −0.0367966 | + | 0.00248901i | ||||
\(187\) | −47.4563 | − | 82.1967i | −0.253777 | − | 0.439554i | ||||
\(188\) | 19.4223i | 0.103310i | ||||||||
\(189\) | 185.961 | + | 33.7552i | 0.983922 | + | 0.178599i | ||||
\(190\) | 18.1387 | 0.0954671 | ||||||||
\(191\) | −96.4070 | + | 55.6606i | −0.504748 | + | 0.291417i | −0.730672 | − | 0.682728i | \(-0.760793\pi\) |
0.225924 | + | 0.974145i | \(0.427460\pi\) | |||||||
\(192\) | 5.90489 | + | 87.2960i | 0.0307546 | + | 0.454667i | ||||
\(193\) | 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 | \(-0.945003\pi\) | ||
0.985111 | − | 0.171921i | \(-0.0549973\pi\) | |||||||
\(198\) | −150.663 | + | 20.4760i | −0.760924 | + | 0.103414i | ||||
\(199\) | −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 | ||||
\(201\) | −274.661 | − | 134.735i | −1.36647 | − | 0.670324i | ||||
\(202\) | 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 | ||||
\(207\) | −237.180 | + | 183.575i | −1.14580 | + | 0.886834i | ||||
\(208\) | 25.1421 | + | 43.5474i | 0.120876 | + | 0.209363i | ||||
\(209\) | − | 105.471i | − | 0.504647i | ||||||
\(210\) | −39.7951 | + | 35.7969i | −0.189500 | + | 0.170462i | ||||
\(211\) | −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 | ||||
\(213\) | 194.907 | − | 13.1840i | 0.915058 | − | 0.0618965i | ||||
\(214\) | −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 | ||||||||
\(219\) | −317.763 | − | 155.879i | −1.45097 | − | 0.711776i | ||||
\(220\) | −44.7505 | + | 77.5101i | −0.203411 | + | 0.352319i | ||||
\(221\) | −133.045 | − | 76.8137i | −0.602015 | − | 0.347573i | ||||
\(222\) | −27.2944 | + | 55.6404i | −0.122948 | + | 0.250632i | ||||
\(223\) | 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 | 0.999749 | − | 0.0223962i | \(-0.00712953\pi\) |
0.480479 | + | 0.877006i | \(0.340463\pi\) | |||||||
\(228\) | 3.89112 | + | 57.5251i | 0.0170663 | + | 0.252303i | ||||
\(229\) | 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 | ||||||
\(231\) | 208.148 | + | 231.396i | 0.901074 | + | 1.00171i | ||||
\(232\) | −249.136 | −1.07386 | ||||||||
\(233\) | 175.684 | − | 101.431i | 0.754008 | − | 0.435327i | −0.0731321 | − | 0.997322i | \(-0.523299\pi\) |
0.827140 | + | 0.561995i | \(0.189966\pi\) | |||||||
\(234\) | −194.623 | + | 150.636i | −0.831722 | + | 0.643743i | ||||
\(235\) | −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 | \(0.0363560\pi\) | ||||
−0.993484 | + | 0.113968i | \(0.963644\pi\) | |||||||
\(240\) | 6.19269 | − | 12.6240i | 0.0258029 | − | 0.0525998i | ||||
\(241\) | −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 | ||||
\(243\) | −80.5094 | − | 229.275i | −0.331315 | − | 0.943520i | ||||
\(244\) | −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 | ||||
\(249\) | 103.473 | − | 6.99914i | 0.415554 | − | 0.0281090i | ||||
\(250\) | −6.37218 | − | 11.0369i | −0.0254887 | − | 0.0441478i | ||||
\(251\) | − | 159.670i | − | 0.636136i | −0.948068 | − | 0.318068i | \(-0.896966\pi\) | ||
0.948068 | − | 0.318068i | \(-0.103034\pi\) | |||||||
\(252\) | −122.063 | − | 118.527i | −0.484377 | − | 0.470344i | ||||
\(253\) | −493.904 | −1.95219 | ||||||||
\(254\) | 97.0591 | − | 56.0371i | 0.382123 | − | 0.220619i | ||||
\(255\) | 2.89922 | + | 42.8611i | 0.0113695 | + | 0.168083i | ||||
\(256\) | 114.482 | − | 198.288i | 0.447193 | − | 0.774562i | ||||
\(257\) | −143.851 | + | 83.0525i | −0.559732 | + | 0.323161i | −0.753038 | − | 0.657977i | \(-0.771412\pi\) |
0.193306 | + | 0.981139i | \(0.438079\pi\) | |||||||
\(258\) | −56.6144 | − | 84.3473i | −0.219436 | − | 0.326928i | ||||
\(259\) | 125.594 | − | 17.8807i | 0.484919 | − | 0.0690374i | ||||
\(260\) | 144.868i | 0.557186i | ||||||||
\(261\) | 39.5334 | + | 290.887i | 0.151469 | + | 1.11451i | ||||
\(262\) | 3.48231 | − | 6.03154i | 0.0132913 | − | 0.0230211i | ||||
\(263\) | 78.7862 | + | 45.4872i | 0.299567 | + | 0.172955i | 0.642249 | − | 0.766496i | \(-0.278002\pi\) |
−0.342681 | + | 0.939452i | \(0.611335\pi\) | |||||||
\(264\) | 304.897 | + | 149.567i | 1.15491 | + | 0.566543i | ||||
\(265\) | 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 | 0.657603 | − | 0.753365i | \(-0.271570\pi\) |
−0.323631 | + | 0.946183i | \(0.604904\pi\) | |||||||
\(270\) | 65.3047 | + | 21.7124i | 0.241869 | + | 0.0804163i | ||||
\(271\) | 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 | ||||||
\(273\) | 479.047 | + | 155.907i | 1.75475 | + | 0.571087i | ||||
\(274\) | 208.181 | 0.759784 | ||||||||
\(275\) | −64.1764 | + | 37.0523i | −0.233369 | + | 0.134736i | ||||
\(276\) | 269.381 | − | 18.2215i | 0.976016 | − | 0.0660199i | ||||
\(277\) | 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 | \(-0.894585\pi\) | ||
0.945663 | − | 0.325150i | \(-0.105415\pi\) | |||||||
\(282\) | 22.0798 | + | 10.8312i | 0.0782971 | + | 0.0384087i | ||||
\(283\) | 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 | ||||
\(285\) | −21.0245 | + | 42.8590i | −0.0737703 | + | 0.150383i | ||||
\(286\) | −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 | ||||
\(291\) | 1.07746 | + | 15.9288i | 0.00370260 | + | 0.0547381i | ||||
\(292\) | 159.310 | + | 275.933i | 0.545583 | + | 0.944977i | ||||
\(293\) | 283.962i | 0.969155i | 0.874748 | + | 0.484578i | \(0.161027\pi\) | ||||
−0.874748 | + | 0.484578i | \(0.838973\pi\) | |||||||
\(294\) | 28.8809 | − | 165.056i | 0.0982344 | − | 0.561416i | ||||
\(295\) | 171.963 | 0.582926 | ||||||||
\(296\) | 119.878 | − | 69.2116i | 0.404993 | − | 0.233823i | ||||
\(297\) | 126.251 | − | 379.727i | 0.425087 | − | 1.27854i | ||||
\(298\) | −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 | ||||||
\(303\) | −83.0392 | + | 169.278i | −0.274057 | + | 0.558672i | ||||
\(304\) | 7.45832 | − | 12.9182i | 0.0245339 | − | 0.0424940i | ||||
\(305\) | −54.0373 | − | 31.1984i | −0.177171 | − | 0.102290i | ||||
\(306\) | 65.0999 | − | 8.84748i | 0.212745 | − | 0.0289133i | ||||
\(307\) | 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 | 0.993842 | − | 0.110804i | \(-0.0353427\pi\) |
0.400962 | + | 0.916095i | \(0.368676\pi\) | |||||||
\(312\) | 548.441 | − | 37.0978i | 1.75783 | − | 0.118903i | ||||
\(313\) | −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 | ||||||
\(315\) | −38.4564 | − | 135.522i | −0.122084 | − | 0.430227i | ||||
\(316\) | −91.9862 | −0.291095 | ||||||||
\(317\) | −137.569 | + | 79.4256i | −0.433972 | + | 0.250554i | −0.701037 | − | 0.713125i | \(-0.747279\pi\) |
0.267065 | + | 0.963678i | \(0.413946\pi\) | |||||||
\(318\) | −9.09875 | − | 134.513i | −0.0286124 | − | 0.422997i | ||||
\(319\) | −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 | ||||||||
\(324\) | −54.8494 | + | 211.765i | −0.169288 | + | 0.653594i | ||||
\(325\) | −59.9736 | + | 103.877i | −0.184534 | + | 0.319623i | ||||
\(326\) | −40.7889 | − | 23.5495i | −0.125119 | − | 0.0722376i | ||||
\(327\) | −164.814 | − | 80.8497i | −0.504019 | − | 0.247247i | ||||
\(328\) | 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 | ||||
\(333\) | −99.8328 | − | 128.985i | −0.299798 | − | 0.387342i | ||||
\(334\) | 37.4855 | + | 64.9267i | 0.112232 | + | 0.194391i | ||||
\(335\) | 228.026i | 0.680673i | ||||||||
\(336\) | 9.13113 | + | 43.0606i | 0.0271760 | + | 0.128157i | ||||
\(337\) | 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 | ||||
\(339\) | −618.288 | + | 41.8224i | −1.82386 | + | 0.123370i | ||||
\(340\) | 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 | ||||||||
\(345\) | 200.702 | + | 98.4544i | 0.581745 | + | 0.285375i | ||||
\(346\) | 134.532 | − | 233.017i | 0.388822 | − | 0.673459i | ||||
\(347\) | −304.373 | − | 175.730i | −0.877155 | − | 0.506426i | −0.00743572 | − | 0.999972i | \(-0.502367\pi\) |
−0.869719 | + | 0.493547i | \(0.835700\pi\) | |||||||
\(348\) | 116.388 | − | 237.259i | 0.334447 | − | 0.681779i | ||||
\(349\) | −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 | 0.0784861 | − | 0.996915i | \(-0.474991\pi\) |
−0.824111 | + | 0.566429i | \(0.808325\pi\) | |||||||
\(354\) | −17.7485 | − | 262.388i | −0.0501370 | − | 0.741209i | ||||
\(355\) | −72.8037 | − | 126.100i | −0.205081 | − | 0.355210i | ||||
\(356\) | − | 89.5139i | − | 0.251444i | ||||||
\(357\) | −89.9387 | − | 99.9838i | −0.251929 | − | 0.280067i | ||||
\(358\) | −129.442 | −0.361570 | ||||||||
\(359\) | 358.252 | − | 206.837i | 0.997917 | − | 0.576148i | 0.0902857 | − | 0.995916i | \(-0.471222\pi\) |
0.907631 | + | 0.419768i | \(0.137889\pi\) | |||||||
\(360\) | −94.0827 | − | 121.556i | −0.261341 | − | 0.337655i | ||||
\(361\) | 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 | ||||||||
\(366\) | −42.0265 | + | 85.6721i | −0.114826 | + | 0.234077i | ||||
\(367\) | 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 | ||||
\(369\) | −49.5263 | − | 364.415i | −0.134218 | − | 0.987575i | ||||
\(370\) | 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 | ||||
\(375\) | 33.4645 | − | 2.26362i | 0.0892388 | − | 0.00603631i | ||||
\(376\) | −27.4652 | − | 47.5712i | −0.0730458 | − | 0.126519i | ||||
\(377\) | 782.486i | 2.07556i | ||||||||
\(378\) | −202.815 | + | 72.6655i | −0.536547 | + | 0.192237i | ||||
\(379\) | 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 | ||||
\(381\) | 19.9063 | + | 294.288i | 0.0522475 | + | 0.772409i | ||||
\(382\) | 63.4470 | − | 109.893i | 0.166092 | − | 0.287679i | ||||
\(383\) | 605.811 | − | 349.765i | 1.58175 | − | 0.913225i | 0.587147 | − | 0.809480i | \(-0.300251\pi\) |
0.994604 | − | 0.103744i | \(-0.0330824\pi\) | |||||||
\(384\) | 164.718 | + | 245.406i | 0.428953 | + | 0.639079i | ||||
\(385\) | 86.5171 | − | 215.247i | 0.224720 | − | 0.559083i | ||||
\(386\) | 176.765i | 0.457940i | ||||||||
\(387\) | 264.921 | − | 36.0044i | 0.684550 | − | 0.0930347i | ||||
\(388\) | 7.18606 | − | 12.4466i | 0.0185208 | − | 0.0320789i | ||||
\(389\) | −345.371 | − | 199.400i | −0.887843 | − | 0.512596i | −0.0146067 | − | 0.999893i | \(-0.504650\pi\) |
−0.873236 | + | 0.487297i | \(0.837983\pi\) | |||||||
\(390\) | 164.690 | + | 80.7887i | 0.422282 | + | 0.207150i | ||||
\(391\) | 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 | ||||
\(396\) | −284.874 | + | 220.489i | −0.719380 | + | 0.556791i | ||||
\(397\) | −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 | ||||||
\(399\) | −31.0007 | − | 146.193i | −0.0776960 | − | 0.366399i | ||||
\(400\) | −10.4805 | −0.0262012 | ||||||||
\(401\) | −344.542 | + | 198.921i | −0.859206 | + | 0.496063i | −0.863746 | − | 0.503927i | \(-0.831888\pi\) |
0.00454048 | + | 0.999990i | \(0.498555\pi\) | |||||||
\(402\) | 347.930 | − | 23.5347i | 0.865497 | − | 0.0585441i | ||||
\(403\) | 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 | ||||||
\(408\) | −131.743 | − | 64.6266i | −0.322899 | − | 0.158398i | ||||
\(409\) | −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 | ||||
\(411\) | −241.301 | + | 491.899i | −0.587107 | + | 1.19683i | ||||
\(412\) | 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 | ||||
\(417\) | 16.4533 | + | 243.240i | 0.0394563 | + | 0.583308i | ||||
\(418\) | 60.1128 | + | 104.118i | 0.143811 | + | 0.249087i | ||||
\(419\) | − | 416.317i | − | 0.993596i | −0.867866 | − | 0.496798i | \(-0.834509\pi\) | ||
0.867866 | − | 0.496798i | \(-0.165491\pi\) | |||||||
\(420\) | −39.2463 | + | 120.590i | −0.0934435 | + | 0.287119i | ||||
\(421\) | 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 | ||||
\(423\) | −51.1851 | + | 39.6166i | −0.121005 | + | 0.0936564i | ||||
\(424\) | −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 | ||||||||
\(429\) | 469.761 | − | 957.620i | 1.09501 | − | 2.23221i | ||||
\(430\) | −37.8588 | + | 65.5733i | −0.0880436 | + | 0.152496i | ||||
\(431\) | 572.655 | + | 330.623i | 1.32867 | + | 0.767106i | 0.985093 | − | 0.172020i | \(-0.0550294\pi\) |
0.343573 | + | 0.939126i | \(0.388363\pi\) | |||||||
\(432\) | 42.3154 | − | 37.5815i | 0.0979523 | − | 0.0869941i | ||||
\(433\) | −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 | ||||
\(438\) | 402.530 | − | 27.2280i | 0.919019 | − | 0.0621645i | ||||
\(439\) | 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 | ||||||
\(441\) | 356.527 | + | 259.557i | 0.808450 | + | 0.588564i | ||||
\(442\) | 175.119 | 0.396196 | ||||||||
\(443\) | 4.51372 | − | 2.60600i | 0.0101890 | − | 0.00588261i | −0.494897 | − | 0.868952i | \(-0.664794\pi\) |
0.505086 | + | 0.863069i | \(0.331461\pi\) | |||||||
\(444\) | 9.90933 | + | 146.496i | 0.0223183 | + | 0.329947i | ||||
\(445\) | 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 | \(0.0897983\pi\) | ||||
−0.960470 | + | 0.278383i | \(0.910202\pi\) | |||||||
\(450\) | −6.90782 | − | 50.8278i | −0.0153507 | − | 0.112951i | ||||
\(451\) | 302.812 | − | 524.486i | 0.671423 | − | 1.16294i | ||||
\(452\) | 483.125 | + | 278.932i | 1.06886 | + | 0.617107i | ||||
\(453\) | 187.839 | + | 92.1447i | 0.414656 | + | 0.203410i | ||||
\(454\) | −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 | ||||
\(459\) | −54.5517 | + | 164.076i | −0.118849 | + | 0.357464i | ||||
\(460\) | −100.622 | − | 174.282i | −0.218743 | − | 0.378873i | ||||
\(461\) | 470.217i | 1.01999i | 0.860176 | + | 0.509997i | \(0.170354\pi\) | ||||
−0.860176 | + | 0.509997i | \(0.829646\pi\) | |||||||
\(462\) | −337.362 | − | 109.795i | −0.730220 | − | 0.237652i | ||||
\(463\) | 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 | ||||
\(465\) | −13.4259 | + | 0.908156i | −0.0288729 | + | 0.00195302i | ||||
\(466\) | −115.620 | + | 200.261i | −0.248113 | + | 0.429744i | ||||
\(467\) | 211.724 | − | 122.239i | 0.453370 | − | 0.261753i | −0.255882 | − | 0.966708i | \(-0.582366\pi\) |
0.709252 | + | 0.704955i | \(0.249033\pi\) | |||||||
\(468\) | −220.883 | + | 539.627i | −0.471973 | + | 1.15305i | ||||
\(469\) | −440.487 | − | 561.720i | −0.939204 | − | 1.19770i | ||||
\(470\) | − | 18.3308i | − | 0.0390017i | ||||||
\(471\) | 408.508 | + | 200.394i | 0.867320 | + | 0.425464i | ||||
\(472\) | −293.698 | + | 508.699i | −0.622241 | + | 1.07775i | ||||
\(473\) | 381.288 | + | 220.137i | 0.806107 | + | 0.465406i | ||||
\(474\) | −51.2979 | + | 104.572i | −0.108223 | + | 0.220616i | ||||
\(475\) | 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 | 0.410450 | − | 0.911883i | \(-0.365372\pi\) |
−0.584489 | + | 0.811402i | \(0.698705\pi\) | |||||||
\(480\) | 14.9133 | + | 220.474i | 0.0310694 | + | 0.459320i | ||||
\(481\) | −217.380 | − | 376.512i | −0.451932 | − | 0.782770i | ||||
\(482\) | − | 273.660i | − | 0.567759i | ||||||
\(483\) | −684.599 | + | 145.171i | −1.41739 | + | 0.300562i | ||||
\(484\) | −266.444 | −0.550504 | ||||||||
\(485\) | 10.3055 | − | 5.94987i | 0.0212484 | − | 0.0122678i | ||||
\(486\) | 210.151 | + | 180.449i | 0.432410 | + | 0.371294i | ||||
\(487\) | −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 | \(-0.806012\pi\) | ||
0.819973 | − | 0.572402i | \(-0.193988\pi\) | |||||||
\(492\) | −145.807 | + | 297.231i | −0.296356 | + | 0.604129i | ||||
\(493\) | 104.442 | − | 180.899i | 0.211850 | − | 0.366935i | ||||
\(494\) | 168.528 | + | 97.2999i | 0.341151 | + | 0.196963i | ||||
\(495\) | −295.548 | + | 40.1668i | −0.597067 | + | 0.0811451i | ||||
\(496\) | 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 | ||||
\(501\) | −196.861 | + | 13.3161i | −0.392936 | + | 0.0265791i | ||||
\(502\) | 91.0033 | + | 157.622i | 0.181281 | + | 0.313989i | ||||
\(503\) | − | 146.815i | − | 0.291879i | −0.989294 | − | 0.145939i | \(-0.953380\pi\) | ||
0.989294 | − | 0.145939i | \(-0.0466205\pi\) | |||||||
\(504\) | 466.578 | + | 117.698i | 0.925751 | + | 0.233527i | ||||
\(505\) | 140.535 | 0.278288 | ||||||||
\(506\) | 487.570 | − | 281.499i | 0.963577 | − | 0.556321i | ||||
\(507\) | −82.3002 | − | 1216.70i | −0.162328 | − | 2.39980i | ||||
\(508\) | 132.764 | − | 229.954i | 0.261347 | − | 0.452666i | ||||
\(509\) | 543.481 | − | 313.779i | 1.06774 | − | 0.616462i | 0.140179 | − | 0.990126i | \(-0.455232\pi\) |
0.927564 | + | 0.373664i | \(0.121899\pi\) | |||||||
\(510\) | −27.2905 | − | 40.6590i | −0.0535109 | − | 0.0797236i | ||||
\(511\) | −509.612 | − | 649.870i | −0.997284 | − | 1.27176i | ||||
\(512\) | − | 133.088i | − | 0.259938i | ||||||
\(513\) | −143.663 | + | 127.591i | −0.280045 | + | 0.248716i | ||||
\(514\) | 94.6708 | − | 163.975i | 0.184184 | − | 0.319017i | ||||
\(515\) | 209.006 | + | 120.669i | 0.405836 | + | 0.234310i | ||||
\(516\) | −216.080 | − | 105.998i | −0.418760 | − | 0.205423i | ||||
\(517\) | −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 | 0.150764 | − | 0.988570i | \(-0.451827\pi\) |
−0.780744 | + | 0.624850i | \(0.785160\pi\) | |||||||
\(522\) | −204.816 | − | 264.625i | −0.392368 | − | 0.506944i | ||||
\(523\) | 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 | ||||||
\(525\) | −78.0640 | + | 70.2211i | −0.148693 | + | 0.133755i | ||||
\(526\) | −103.701 | −0.197150 | ||||||||
\(527\) | −11.1252 | + | 6.42313i | −0.0211104 | + | 0.0121881i | ||||
\(528\) | 92.9858 | − | 6.28976i | 0.176109 | − | 0.0119124i | ||||
\(529\) | 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 | ||||||
\(534\) | −101.762 | − | 49.9192i | −0.190565 | − | 0.0934817i | ||||
\(535\) | −91.2609 | + | 158.069i | −0.170581 | + | 0.295455i | ||||
\(536\) | −674.542 | − | 389.447i | −1.25847 | − | 0.726581i | ||||
\(537\) | 150.035 | − | 305.851i | 0.279396 | − | 0.569555i | ||||
\(538\) | −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 | ||||
\(543\) | −19.1051 | − | 282.443i | −0.0351843 | − | 0.520153i | ||||
\(544\) | 105.478 | + | 182.693i | 0.193893 | + | 0.335832i | ||||
\(545\) | 136.830i | 0.251064i | ||||||||
\(546\) | −561.761 | + | 119.123i | −1.02887 | + | 0.218174i | ||||
\(547\) | −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 | ||||
\(549\) | −153.717 | − | 198.604i | −0.279995 | − | 0.361756i | ||||
\(550\) | 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 | ||||||||
\(555\) | −53.5421 | + | 109.147i | −0.0964723 | + | 0.196661i | ||||
\(556\) | 109.734 | − | 190.065i | 0.197364 | − | 0.341844i | ||||
\(557\) | −179.164 | − | 103.440i | −0.321659 | − | 0.185710i | 0.330473 | − | 0.943815i | \(-0.392792\pi\) |
−0.652132 | + | 0.758106i | \(0.726125\pi\) | |||||||
\(558\) | 2.77140 | + | 20.3920i | 0.00496666 | + | 0.0365448i | ||||
\(559\) | 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 | 0.512545 | − | 0.858660i | \(-0.328703\pi\) |
−0.487349 | + | 0.873207i | \(0.662036\pi\) | |||||||
\(564\) | 58.1341 | − | 3.93232i | 0.103075 | − | 0.00697220i | ||||
\(565\) | 230.949 | + | 400.015i | 0.408759 | + | 0.707992i | ||||
\(566\) | 206.200i | 0.364312i | ||||||||
\(567\) | 63.3843 | − | 563.446i | 0.111789 | − | 0.993732i | ||||
\(568\) | 497.369 | 0.875649 | ||||||||
\(569\) | −358.446 | + | 206.949i | −0.629957 | + | 0.363706i | −0.780735 | − | 0.624862i | \(-0.785155\pi\) |
0.150778 | + | 0.988568i | \(0.451822\pi\) | |||||||
\(570\) | −3.67244 | − | 54.2922i | −0.00644288 | − | 0.0952494i | ||||
\(571\) | 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 | ||||||
\(576\) | 260.095 | − | 35.3486i | 0.451554 | − | 0.0613690i | ||||
\(577\) | −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 | ||||
\(579\) | −417.668 | − | 204.887i | −0.721360 | − | 0.353864i | ||||
\(580\) | −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 | ||||
\(585\) | −381.782 | + | 295.495i | −0.652619 | + | 0.505119i | ||||
\(586\) | −161.843 | − | 280.320i | −0.276183 | − | 0.478363i | ||||
\(587\) | − | 720.660i | − | 1.22770i | −0.789422 | − | 0.613850i | \(-0.789620\pi\) | ||
0.789422 | − | 0.613850i | \(-0.210380\pi\) | |||||||
\(588\) | −136.269 | − | 372.875i | −0.231750 | − | 0.634142i | ||||
\(589\) | −14.2754 | −0.0242366 | ||||||||
\(590\) | −169.758 | + | 98.0096i | −0.287725 | + | 0.166118i | ||||
\(591\) | −202.747 | + | 13.7142i | −0.343057 | + | 0.0232052i | ||||
\(592\) | 18.9937 | − | 32.8981i | 0.0320840 | − | 0.0555711i | ||||
\(593\) | −141.904 | + | 81.9281i | −0.239298 | + | 0.138159i | −0.614854 | − | 0.788641i | \(-0.710785\pi\) |
0.375556 | + | 0.926800i | \(0.377452\pi\) | |||||||
\(594\) | 91.7918 | + | 446.813i | 0.154532 | + | 0.752210i | ||||
\(595\) | −37.3831 | + | 93.0061i | −0.0628288 | + | 0.156313i | ||||
\(596\) | 337.028i | 0.565483i | ||||||||
\(597\) | 109.022 | + | 53.4809i | 0.182617 | + | 0.0895827i | ||||
\(598\) | 455.640 | − | 789.191i | 0.761939 | − | 1.31972i | ||||
\(599\) | 79.5260 | + | 45.9144i | 0.132765 | + | 0.0766517i | 0.564911 | − | 0.825152i | \(-0.308910\pi\) |
−0.432147 | + | 0.901803i | \(0.642244\pi\) | |||||||
\(600\) | −50.4583 | + | 102.860i | −0.0840971 | + | 0.171434i | ||||
\(601\) | −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 | ||||
\(606\) | −14.5048 | − | 214.434i | −0.0239353 | − | 0.353852i | ||||
\(607\) | −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 | ||||||||
\(609\) | −211.983 | + | 651.349i | −0.348084 | + | 1.06954i | ||||
\(610\) | 71.1256 | 0.116599 | ||||||||
\(611\) | −149.411 | + | 86.2627i | −0.244536 | + | 0.141183i | ||||
\(612\) | 123.091 | − | 95.2712i | 0.201130 | − | 0.155672i | ||||
\(613\) | −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 | \(-0.747171\pi\) | ||
0.700795 | − | 0.713363i | \(-0.252829\pi\) | |||||||
\(618\) | 162.550 | − | 331.363i | 0.263026 | − | 0.536186i | ||||
\(619\) | 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 | ||||
\(621\) | 597.489 | + | 672.751i | 0.962140 | + | 1.08334i | ||||
\(622\) | −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 | ||||
\(627\) | −315.692 | + | 21.3541i | −0.503496 | + | 0.0340576i | ||||
\(628\) | −204.805 | − | 354.732i | −0.326122 | − | 0.564860i | ||||
\(629\) | 116.059i | 0.184513i | ||||||||
\(630\) | 115.203 | + | 111.865i | 0.182862 | + | 0.177564i | ||||
\(631\) | −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 | ||||
\(633\) | 45.6025 | + | 674.172i | 0.0720418 | + | 1.06504i | ||||
\(634\) | 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 | ||||||
\(639\) | −78.9234 | − | 580.720i | −0.123511 | − | 0.908795i | ||||
\(640\) | 110.149 | − | 190.784i | 0.172108 | − | 0.298100i | ||||
\(641\) | 755.593 | + | 436.242i | 1.17877 | + | 0.680564i | 0.955730 | − | 0.294245i | \(-0.0950681\pi\) |
0.223042 | + | 0.974809i | \(0.428401\pi\) | |||||||
\(642\) | 250.606 | + | 122.935i | 0.390352 | + | 0.191487i | ||||
\(643\) | −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 | −0.0505128 | − | 0.998723i | \(-0.516086\pi\) |
−0.890176 | + | 0.455616i | \(0.849419\pi\) | |||||||
\(648\) | −165.115 | − | 596.239i | −0.254807 | − | 0.920121i | ||||
\(649\) | 569.896 | + | 987.088i | 0.878113 | + | 1.52094i | ||||
\(650\) | − | 136.727i | − | 0.210349i | ||||||
\(651\) | 31.3191 | − | 28.1725i | 0.0481092 | − | 0.0432758i | ||||
\(652\) | −111.588 | −0.171147 | ||||||||
\(653\) | −24.5206 | + | 14.1570i | −0.0375506 | + | 0.0216799i | −0.518658 | − | 0.854982i | \(-0.673568\pi\) |
0.481107 | + | 0.876662i | \(0.340235\pi\) | |||||||
\(654\) | 208.780 | − | 14.1224i | 0.319236 | − | 0.0215938i | ||||
\(655\) | 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 | \(-0.975859\pi\) | ||
0.997126 | − | 0.0757673i | \(-0.0241406\pi\) | |||||||
\(660\) | 241.061 | + | 118.252i | 0.365243 | + | 0.179170i | ||||
\(661\) | 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 | ||||
\(663\) | −202.979 | + | 413.778i | −0.306152 | + | 0.624099i | ||||
\(664\) | 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 | ||||
\(669\) | −38.4752 | − | 568.805i | −0.0575115 | − | 0.850231i | ||||
\(670\) | −129.962 | − | 225.101i | −0.193973 | − | 0.335972i | ||||
\(671\) | − | 413.573i | − | 0.616354i | ||||||
\(672\) | −462.636 | − | 514.307i | −0.688446 | − | 0.765338i | ||||
\(673\) | −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 | ||||
\(675\) | 128.105 | + | 42.5922i | 0.189785 | + | 0.0630995i | ||||
\(676\) | −548.898 | + | 950.719i | −0.811979 | + | 1.40639i | ||||
\(677\) | −271.115 | + | 156.528i | −0.400465 | + | 0.231209i | −0.686685 | − | 0.726955i | \(-0.740935\pi\) |
0.286220 | + | 0.958164i | \(0.407601\pi\) | |||||||
\(678\) | 586.522 | − | 393.676i | 0.865076 | − | 0.580644i | ||||
\(679\) | −13.8930 | + | 34.5645i | −0.0204609 | + | 0.0509050i | ||||
\(680\) | 109.374i | 0.160844i | ||||||||
\(681\) | 512.632 | − | 1045.01i | 0.752764 | − | 1.53453i | ||||
\(682\) | −16.9448 | + | 29.3492i | −0.0248457 | + | 0.0430341i | ||||
\(683\) | −755.669 | − | 436.286i | −1.10640 | − | 0.638779i | −0.168503 | − | 0.985701i | \(-0.553893\pi\) |
−0.937894 | + | 0.346922i | \(0.887227\pi\) | |||||||
\(684\) | 171.394 | − | 23.2935i | 0.250576 | − | 0.0340548i | ||||
\(685\) | 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 | ||||
\(690\) | −254.241 | + | 17.1974i | −0.368466 | + | 0.0249238i | ||||
\(691\) | 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 | ||||||
\(693\) | 650.463 | − | 669.870i | 0.938619 | − | 0.966623i | ||||
\(694\) | 400.625 | 0.577270 | ||||||||
\(695\) | 157.369 | − | 90.8572i | 0.226431 | − | 0.130730i | ||||
\(696\) | 50.4411 | + | 745.704i | 0.0724728 | + | 1.07141i | ||||
\(697\) | −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 | \(0.226716\pi\) | ||||
−0.756894 | + | 0.653537i | \(0.773284\pi\) | |||||||
\(702\) | 490.281 | + | 552.039i | 0.698406 | + | 0.786381i | ||||
\(703\) | −64.4848 | + | 111.691i | −0.0917281 | + | 0.158878i | ||||
\(704\) | 374.343 | + | 216.127i | 0.531737 | + | 0.306999i | ||||
\(705\) | 43.3128 | + | 21.2471i | 0.0614366 | + | 0.0301378i | ||||
\(706\) | 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 | ||||
\(711\) | −187.629 | − | 242.418i | −0.263894 | − | 0.340954i | ||||
\(712\) | 126.582 | + | 219.247i | 0.177784 | + | 0.307931i | ||||
\(713\) | 66.8492i | 0.0937576i | ||||||||
\(714\) | 145.770 | + | 47.4414i | 0.204160 | + | 0.0664445i | ||||
\(715\) | −795.023 | −1.11192 | ||||||||
\(716\) | −265.589 | + | 153.338i | −0.370935 | + | 0.214159i | ||||
\(717\) | 163.057 | − | 11.0295i | 0.227416 | − | 0.0153829i | ||||
\(718\) | −235.772 | + | 408.368i | −0.328373 | + | 0.568758i | ||||
\(719\) | 454.362 | − | 262.326i | 0.631937 | − | 0.364849i | −0.149565 | − | 0.988752i | \(-0.547787\pi\) |
0.781502 | + | 0.623903i | \(0.214454\pi\) | |||||||
\(720\) | −39.0393 | − | 15.9798i | −0.0542213 | − | 0.0221942i | ||||
\(721\) | −747.968 | + | 106.487i | −1.03740 | + | 0.147694i | ||||
\(722\) | 353.773i | 0.489991i | ||||||||
\(723\) | 646.615 | + | 317.197i | 0.894350 | + | 0.438724i | ||||
\(724\) | −127.420 | + | 220.698i | −0.175995 | + | 0.304832i | ||||
\(725\) | −141.240 | − | 81.5448i | −0.194814 | − | 0.112476i | ||||
\(726\) | −148.588 | + | 302.900i | −0.204666 | + | 0.417218i | ||||
\(727\) | 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 | ||||
\(732\) | 15.2579 | + | 225.567i | 0.0208441 | + | 0.308152i | ||||
\(733\) | 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 | ||||||||
\(735\) | 56.6543 | − | 323.783i | 0.0770807 | − | 0.440521i | ||||
\(736\) | 1097.77 | 1.49153 | ||||||||
\(737\) | −1308.89 | + | 755.689i | −1.77597 | + | 1.02536i | ||||
\(738\) | 256.588 | + | 331.514i | 0.347680 | + | 0.449206i | ||||
\(739\) | 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 | \(0.276258\pi\) | ||||
−0.646438 | + | 0.762967i | \(0.723742\pi\) | |||||||
\(744\) | 20.2437 | − | 41.2673i | 0.0272093 | − | 0.0554669i | ||||
\(745\) | −139.525 | + | 241.665i | −0.187282 | + | 0.324382i | ||||
\(746\) | −316.782 | − | 182.894i | −0.424640 | − | 0.245166i | ||||
\(747\) | −41.8991 | − | 308.294i | −0.0560898 | − | 0.412710i | ||||
\(748\) | 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 | ||||
\(753\) | −477.918 | + | 32.3274i | −0.634686 | + | 0.0429315i | ||||
\(754\) | −445.974 | − | 772.450i | −0.591478 | − | 1.02447i | ||||
\(755\) | − | 155.946i | − | 0.206550i | ||||||
\(756\) | −330.056 | + | 389.351i | −0.436582 | + | 0.515015i | ||||
\(757\) | 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 | ||||
\(759\) | 99.9978 | + | 1478.33i | 0.131749 | + | 1.94774i | ||||
\(760\) | −60.7707 | + | 105.258i | −0.0799614 | + | 0.138497i | ||||
\(761\) | 853.490 | − | 492.763i | 1.12154 | − | 0.647520i | 0.179745 | − | 0.983713i | \(-0.442473\pi\) |
0.941793 | + | 0.336193i | \(0.109140\pi\) | |||||||
\(762\) | −187.379 | − | 279.168i | −0.245904 | − | 0.366362i | ||||
\(763\) | −264.320 | − | 337.068i | −0.346422 | − | 0.441766i | ||||
\(764\) | − | 300.639i | − | 0.393507i | ||||||
\(765\) | 127.703 | − | 17.3557i | 0.166932 | − | 0.0226871i | ||||
\(766\) | −398.694 | + | 690.558i | −0.520488 | + | 0.901512i | ||||
\(767\) | 1597.72 | + | 922.445i | 2.08308 | + | 1.20267i | ||||
\(768\) | −616.686 | − | 302.515i | −0.802976 | − | 0.393900i | ||||
\(769\) | −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 | 0.578330 | − | 0.815803i | \(-0.303705\pi\) |
−0.417341 | + | 0.908750i | \(0.637038\pi\) | |||||||
\(774\) | −241.003 | + | 186.533i | −0.311373 | + | 0.240999i | ||||
\(775\) | 5.01497 | + | 8.68618i | 0.00647092 | + | 0.0112080i | ||||
\(776\) | 40.6474i | 0.0523807i | ||||||||
\(777\) | −78.9480 | − | 372.303i | −0.101606 | − | 0.479155i | ||||
\(778\) | 454.588 | 0.584304 | ||||||||
\(779\) | −251.836 | + | 145.398i | −0.323281 | + | 0.186647i | ||||
\(780\) | 433.614 | − | 29.3306i | 0.555915 | − | 0.0376033i | ||||
\(781\) | 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 | ||||||
\(786\) | −18.7584 | − | 9.20194i | −0.0238656 | − | 0.0117073i | ||||
\(787\) | −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 | ||||
\(789\) | 120.199 | − | 245.029i | 0.152344 | − | 0.310557i | ||||
\(790\) | 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 | ||||
\(795\) | −17.8486 | − | 263.867i | −0.0224510 | − | 0.331909i | ||||
\(796\) | −54.6581 | − | 94.6706i | −0.0686659 | − | 0.118933i | ||||
\(797\) | − | 140.896i | − | 0.176783i | −0.996086 | − | 0.0883917i | \(-0.971827\pi\) | ||
0.996086 | − | 0.0883917i | \(-0.0281727\pi\) | |||||||
\(798\) | 113.925 | + | 126.649i | 0.142763 | + | 0.158709i | ||||
\(799\) | 46.0555 | 0.0576415 | ||||||||
\(800\) | 142.640 | − | 82.3534i | 0.178300 | − | 0.102942i | ||||
\(801\) | 235.903 | − | 182.586i | 0.294510 | − | 0.227947i | ||||
\(802\) | 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 | ||||||||
\(807\) | 137.061 | − | 279.402i | 0.169840 | − | 0.346223i | ||||
\(808\) | −240.022 | + | 415.730i | −0.297057 | + | 0.514518i | ||||
\(809\) | −965.482 | − | 557.421i | −1.19343 | − | 0.689025i | −0.234345 | − | 0.972154i | \(-0.575294\pi\) |
−0.959082 | + | 0.283128i | \(0.908628\pi\) | |||||||
\(810\) | 51.7669 | − | 199.863i | 0.0639097 | − | 0.246745i | ||||
\(811\) | 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 | ||||
\(816\) | −40.1782 | + | 2.71774i | −0.0492380 | + | 0.00333057i | ||||
\(817\) | −105.701 | − | 183.079i | −0.129376 | − | 0.224087i | ||||
\(818\) | − | 760.988i | − | 0.930303i | ||||||
\(819\) | 369.665 | − | 1465.43i | 0.451361 | − | 1.78929i | ||||
\(820\) | 246.764 | 0.300931 | ||||||||
\(821\) | −1390.57 | + | 802.846i | −1.69375 | + | 0.977888i | −0.742310 | + | 0.670057i | \(0.766270\pi\) |
−0.951441 | + | 0.307830i | \(0.900397\pi\) | |||||||
\(822\) | −42.1491 | − | 623.118i | −0.0512763 | − | 0.758052i | ||||
\(823\) | 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 | \(0.0822619\pi\) | ||||
−0.966792 | + | 0.255566i | \(0.917738\pi\) | |||||||
\(828\) | −109.080 | − | 802.610i | −0.131739 | − | 0.969336i | ||||
\(829\) | 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 | ||||
\(831\) | −315.253 | − | 154.647i | −0.379365 | − | 0.186098i | ||||
\(832\) | 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 | ||||
\(837\) | −51.3954 | − | 17.0879i | −0.0614043 | − | 0.0204156i | ||||
\(838\) | 237.278 | + | 410.977i | 0.283148 | + | 0.490426i | ||||
\(839\) | 236.551i | 0.281944i | 0.990014 | + | 0.140972i | \(0.0450227\pi\) | ||||
−0.990014 | + | 0.140972i | \(0.954977\pi\) | |||||||
\(840\) | −74.4008 | − | 350.859i | −0.0885724 | − | 0.417690i | ||||
\(841\) | −222.930 | −0.265077 | ||||||||
\(842\) | −204.858 | + | 118.275i | −0.243299 | + | 0.140469i | ||||
\(843\) | −546.953 | + | 36.9971i | −0.648817 | + | 0.0438874i | ||||
\(844\) | 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 | ||||||||
\(849\) | −487.219 | − | 239.006i | −0.573874 | − | 0.281514i | ||||
\(850\) | −18.2495 | + | 31.6091i | −0.0214701 | + | 0.0371872i | ||||
\(851\) | 523.031 | + | 301.972i | 0.614607 | + | 0.354844i | ||||
\(852\) | −232.353 | + | 473.658i | −0.272715 | + | 0.555937i | ||||
\(853\) | −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 | 0.842084 | − | 0.539346i | \(-0.181329\pi\) |
−0.0460453 | + | 0.998939i | \(0.514662\pi\) | |||||||
\(858\) | 82.0551 | + | 1213.08i | 0.0956354 | + | 1.41384i | ||||
\(859\) | −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 | ||||||||
\(861\) | 265.567 | − | 815.992i | 0.308440 | − | 0.947726i | ||||
\(862\) | −753.747 | −0.874417 | ||||||||
\(863\) | −867.795 | + | 501.021i | −1.00556 | + | 0.580558i | −0.909887 | − | 0.414855i | \(-0.863832\pi\) |
−0.0956683 | + | 0.995413i | \(0.530499\pi\) | |||||||
\(864\) | −280.609 | + | 843.991i | −0.324779 | + | 0.976841i | ||||
\(865\) | 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 | ||||||
\(870\) | −109.847 | + | 223.925i | −0.126261 | + | 0.257385i | ||||
\(871\) | −1223.18 | + | 2118.60i | −1.40433 | + | 2.43238i | ||||
\(872\) | −404.769 | − | 233.693i | −0.464184 | − | 0.267997i | ||||
\(873\) | 47.4593 | − | 6.45001i | 0.0543634 | − | 0.00738833i | ||||
\(874\) | −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 | ||||
\(879\) | 849.945 | − | 57.4922i | 0.966946 | − | 0.0654063i | ||||
\(880\) | −34.7330 | − | 60.1592i | −0.0394693 | − | 0.0683628i | ||||
\(881\) | − | 1309.94i | − | 1.48688i | −0.668803 | − | 0.743440i | \(-0.733193\pi\) | ||
0.668803 | − | 0.743440i | \(-0.266807\pi\) | |||||||
\(882\) | −499.887 | − | 53.0273i | −0.566766 | − | 0.0601216i | ||||
\(883\) | −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 | ||||
\(885\) | −34.8163 | − | 514.713i | −0.0393405 | − | 0.581597i | ||||
\(886\) | −2.97055 | + | 5.14515i | −0.00335277 | + | 0.00580716i | ||||
\(887\) | 1250.78 | − | 722.138i | 1.41012 | − | 0.814135i | 0.414724 | − | 0.909947i | \(-0.363878\pi\) |
0.995399 | + | 0.0958119i | \(0.0305447\pi\) | |||||||
\(888\) | −231.432 | − | 344.801i | −0.260622 | − | 0.388289i | ||||
\(889\) | −256.676 | + | 638.587i | −0.288724 | + | 0.718321i | ||||
\(890\) | 84.4832i | 0.0949250i | ||||||||
\(891\) | −1162.14 | − | 301.008i | −1.30431 | − | 0.337832i | ||||
\(892\) | −256.609 | + | 444.459i | −0.287678 | + | 0.498273i | ||||
\(893\) | 44.3223 | + | 25.5895i | 0.0496331 | + | 0.0286557i | ||||
\(894\) | 383.141 | + | 187.950i | 0.428570 | + | 0.210235i | ||||
\(895\) | −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 | ||||
\(900\) | −74.3846 | − | 96.1056i | −0.0826495 | − | 0.106784i | ||||
\(901\) | −126.238 | − | 218.650i | −0.140109 | − | 0.242675i | ||||
\(902\) | 690.345i | 0.765349i | ||||||||
\(903\) | 593.206 | + | 193.060i | 0.656928 | + | 0.213799i | ||||
\(904\) | −1577.76 | −1.74531 | ||||||||
\(905\) | −182.733 | + | 105.501i | −0.201915 | + | 0.116575i | ||||
\(906\) | −237.948 | + | 16.0953i | −0.262635 | + | 0.0177652i | ||||
\(907\) | 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 | \(-0.991332\pi\) | ||
0.999629 | − | 0.0272283i | \(-0.00866811\pi\) | |||||||
\(912\) | −40.1762 | − | 19.7085i | −0.0440529 | − | 0.0216102i | ||||
\(913\) | 256.178 | − | 443.713i | 0.280589 | − | 0.485995i | ||||
\(914\) | −583.540 | − | 336.907i | −0.638446 | − | 0.368607i | ||||
\(915\) | −82.4413 | + | 168.059i | −0.0900998 | + | 0.183671i | ||||
\(916\) | −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 | ||||
\(921\) | −33.7743 | − | 499.308i | −0.0366713 | − | 0.542137i | ||||
\(922\) | −267.998 | − | 464.187i | −0.290671 | − | 0.503456i | ||||
\(923\) | − | 1562.13i | − | 1.69245i | ||||||
\(924\) | −822.263 | + | 174.364i | −0.889896 | + | 0.188705i | ||||
\(925\) | 90.6147 | 0.0979618 | ||||||||
\(926\) | −366.888 | + | 211.823i | −0.396207 | + | 0.228750i | ||||
\(927\) | 594.548 | + | 768.162i | 0.641368 | + | 0.828654i | ||||
\(928\) | 537.240 | − | 930.526i | 0.578922 | − | 1.00272i | ||||
\(929\) | 908.656 | − | 524.613i | 0.978101 | − | 0.564707i | 0.0764046 | − | 0.997077i | \(-0.475656\pi\) |
0.901696 | + | 0.432370i | \(0.142323\pi\) | |||||||
\(930\) | 12.7361 | − | 8.54853i | 0.0136947 | − | 0.00919197i | ||||
\(931\) | 83.1455 | − | 338.645i | 0.0893078 | − | 0.363743i | ||||
\(932\) | 547.860i | 0.587833i | ||||||||
\(933\) | 661.797 | − | 1349.09i | 0.709322 | − | 1.44597i | ||||
\(934\) | −139.339 | + | 241.342i | −0.149185 | + | 0.258396i | ||||
\(935\) | 183.797 | + | 106.115i | 0.196575 | + | 0.113492i | ||||
\(936\) | −222.079 | − | 1634.06i | −0.237264 | − | 1.74579i | ||||
\(937\) | 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 | −0.0314686 | − | 0.999505i | \(-0.510018\pi\) |
−0.881331 | + | 0.472500i | \(0.843352\pi\) | |||||||
\(942\) | −517.482 | + | 35.0036i | −0.549343 | + | 0.0371588i | ||||
\(943\) | 680.873 | + | 1179.31i | 0.722029 | + | 1.25059i | ||||
\(944\) | 161.199i | 0.170762i | ||||||||
\(945\) | −397.852 | + | 142.544i | −0.421007 | + | 0.150841i | ||||
\(946\) | −501.864 | −0.530512 | ||||||||
\(947\) | 751.376 | − | 433.807i | 0.793428 | − | 0.458086i | −0.0477401 | − | 0.998860i | \(-0.515202\pi\) |
0.841168 | + | 0.540774i | \(0.181869\pi\) | |||||||
\(948\) | 18.6239 | + | 275.329i | 0.0196454 | + | 0.290432i | ||||
\(949\) | −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 | \(0.0533587\pi\) | ||||
−0.985983 | + | 0.166847i | \(0.946641\pi\) | |||||||
\(954\) | −400.777 | + | 54.4680i | −0.420101 | + | 0.0570944i | ||||
\(955\) | 124.461 | − | 215.573i | 0.130325 | − | 0.225730i | ||||
\(956\) | −127.411 | − | 73.5610i | −0.133276 | − | 0.0769467i | ||||
\(957\) | 1302.06 | + | 638.724i | 1.36056 | + | 0.667423i | ||||
\(958\) | 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 | ||||
\(963\) | −580.952 | + | 449.650i | −0.603273 | + | 0.466926i | ||||
\(964\) | −324.180 | − | 561.496i | −0.336286 | − | 0.582464i | ||||
\(965\) | 346.751i | 0.359327i | ||||||||
\(966\) | 593.079 | − | 533.493i | 0.613953 | − | 0.552271i | ||||
\(967\) | 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 | ||||
\(969\) | 136.407 | − | 9.22689i | 0.140771 | − | 0.00952208i | ||||
\(970\) | −6.78221 | + | 11.7471i | −0.00699196 | + | 0.0121104i | ||||
\(971\) | 262.807 | − | 151.732i | 0.270656 | − | 0.156264i | −0.358529 | − | 0.933518i | \(-0.616722\pi\) |
0.629186 | + | 0.777255i | \(0.283388\pi\) | |||||||
\(972\) | 644.950 | + | 121.298i | 0.663529 | + | 0.124792i | ||||
\(973\) | −212.152 | + | 527.815i | −0.218039 | + | 0.542462i | ||||
\(974\) | − | 737.072i | − | 0.756748i | ||||||
\(975\) | 323.064 | + | 158.479i | 0.331348 | + | 0.162543i | ||||
\(976\) | 29.2455 | − | 50.6548i | 0.0299647 | − | 0.0519004i | ||||
\(977\) | −1555.40 | − | 898.010i | −1.59202 | − | 0.919151i | −0.992961 | − | 0.118443i | \(-0.962210\pi\) |
−0.599055 | − | 0.800708i | \(-0.704457\pi\) | |||||||
\(978\) | −62.2290 | + | 126.855i | −0.0636289 | + | 0.129709i | ||||
\(979\) | 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 | 0.988775 | − | 0.149411i | \(-0.0477376\pi\) |
0.364994 | + | 0.931010i | \(0.381071\pi\) | |||||||
\(984\) | −63.1911 | − | 934.197i | −0.0642186 | − | 0.949387i | ||||
\(985\) | 75.7320 | + | 131.172i | 0.0768852 | + | 0.133169i | ||||
\(986\) | 238.105i | 0.241486i | ||||||||
\(987\) | −147.741 | + | 31.3289i | −0.149687 | + | 0.0317416i | ||||
\(988\) | 461.049 | 0.466649 | ||||||||
\(989\) | −857.328 | + | 494.978i | −0.866863 | + | 0.500484i | ||||
\(990\) | 268.865 | − | 208.098i | 0.271580 | − | 0.210200i | ||||
\(991\) | −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 | ||||||
\(996\) | −123.352 | + | 251.457i | −0.123848 | + | 0.252467i | ||||
\(997\) | 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 | ||||
\(999\) | −365.860 | + | 324.930i | −0.366226 | + | 0.325256i |
(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.11.7 | ✓ | 36 | |
3.2 | odd | 2 | inner | 105.3.t.b.11.12 | yes | 36 | |
7.2 | even | 3 | inner | 105.3.t.b.86.12 | yes | 36 | |
21.2 | odd | 6 | inner | 105.3.t.b.86.7 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.t.b.11.7 | ✓ | 36 | 1.1 | even | 1 | trivial | |
105.3.t.b.11.12 | yes | 36 | 3.2 | odd | 2 | inner | |
105.3.t.b.86.7 | yes | 36 | 21.2 | odd | 6 | inner | |
105.3.t.b.86.12 | yes | 36 | 7.2 | even | 3 | inner |