Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.9 | ||
Character | \(\chi\) | \(=\) | 300.11 |
Dual form | 300.2.n.a.191.9 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24841 | + | 0.664442i | −0.882756 | + | 0.469831i | ||||
\(3\) | 1.66858 | + | 0.464581i | 0.963356 | + | 0.268226i | ||||
\(4\) | 1.11703 | − | 1.65899i | 0.558517 | − | 0.829493i | ||||
\(5\) | 0.345709 | − | 2.20918i | 0.154606 | − | 0.987976i | ||||
\(6\) | −2.39175 | + | 0.528689i | −0.976430 | + | 0.215836i | ||||
\(7\) | − | 0.309856i | − | 0.117114i | −0.998284 | − | 0.0585572i | \(-0.981350\pi\) | ||
0.998284 | − | 0.0585572i | \(-0.0186500\pi\) | |||||||
\(8\) | −0.292213 | + | 2.81329i | −0.103313 | + | 0.994649i | ||||
\(9\) | 2.56833 | + | 1.55038i | 0.856110 | + | 0.516794i | ||||
\(10\) | 1.03629 | + | 2.98766i | 0.327703 | + | 0.944781i | ||||
\(11\) | 1.53656 | − | 1.11637i | 0.463290 | − | 0.336600i | −0.331531 | − | 0.943444i | \(-0.607565\pi\) |
0.794820 | + | 0.606845i | \(0.207565\pi\) | |||||||
\(12\) | 2.63460 | − | 2.24920i | 0.760543 | − | 0.649288i | ||||
\(13\) | −3.79520 | − | 2.75737i | −1.05260 | − | 0.764758i | −0.0798941 | − | 0.996803i | \(-0.525458\pi\) |
−0.972705 | + | 0.232045i | \(0.925458\pi\) | |||||||
\(14\) | 0.205881 | + | 0.386826i | 0.0550240 | + | 0.103384i | ||||
\(15\) | 1.60319 | − | 3.52559i | 0.413941 | − | 0.910303i | ||||
\(16\) | −1.50447 | − | 3.70629i | −0.376117 | − | 0.926572i | ||||
\(17\) | 4.30413 | − | 1.39850i | 1.04391 | − | 0.339185i | 0.263631 | − | 0.964623i | \(-0.415080\pi\) |
0.780274 | + | 0.625438i | \(0.215080\pi\) | |||||||
\(18\) | −4.23646 | − | 0.229003i | −0.998542 | − | 0.0539765i | ||||
\(19\) | 5.24788 | − | 1.70514i | 1.20395 | − | 0.391186i | 0.362735 | − | 0.931892i | \(-0.381843\pi\) |
0.841212 | + | 0.540706i | \(0.181843\pi\) | |||||||
\(20\) | −3.27883 | − | 3.04126i | −0.733169 | − | 0.680046i | ||||
\(21\) | 0.143953 | − | 0.517020i | 0.0314132 | − | 0.112823i | ||||
\(22\) | −1.17648 | + | 2.41464i | −0.250827 | + | 0.514803i | ||||
\(23\) | −5.20321 | + | 3.78035i | −1.08494 | + | 0.788257i | −0.978538 | − | 0.206065i | \(-0.933934\pi\) |
−0.106405 | + | 0.994323i | \(0.533934\pi\) | |||||||
\(24\) | −1.79458 | + | 4.55845i | −0.366318 | + | 0.930490i | ||||
\(25\) | −4.76097 | − | 1.52747i | −0.952194 | − | 0.305494i | ||||
\(26\) | 6.57006 | + | 0.920633i | 1.28850 | + | 0.180551i | ||||
\(27\) | 3.56519 | + | 3.78014i | 0.686120 | + | 0.727488i | ||||
\(28\) | −0.514046 | − | 0.346120i | −0.0971456 | − | 0.0654105i | ||||
\(29\) | 6.49757 | + | 2.11119i | 1.20657 | + | 0.392038i | 0.842173 | − | 0.539207i | \(-0.181276\pi\) |
0.364395 | + | 0.931245i | \(0.381276\pi\) | |||||||
\(30\) | 0.341119 | + | 5.46659i | 0.0622796 | + | 0.998059i | ||||
\(31\) | −5.73466 | + | 1.86330i | −1.02997 | + | 0.334659i | −0.774780 | − | 0.632231i | \(-0.782140\pi\) |
−0.255195 | + | 0.966890i | \(0.582140\pi\) | |||||||
\(32\) | 4.34080 | + | 3.62732i | 0.767352 | + | 0.641226i | ||||
\(33\) | 3.08252 | − | 1.14891i | 0.536598 | − | 0.199999i | ||||
\(34\) | −4.44408 | + | 4.60574i | −0.762154 | + | 0.789877i | ||||
\(35\) | −0.684528 | − | 0.107120i | −0.115706 | − | 0.0181066i | ||||
\(36\) | 5.44098 | − | 2.52899i | 0.906829 | − | 0.421498i | ||||
\(37\) | 3.24583 | + | 2.35823i | 0.533611 | + | 0.387691i | 0.821707 | − | 0.569911i | \(-0.193022\pi\) |
−0.288096 | + | 0.957602i | \(0.593022\pi\) | |||||||
\(38\) | −5.41852 | + | 5.61562i | −0.879000 | + | 0.910974i | ||||
\(39\) | −5.05158 | − | 6.36408i | −0.808900 | − | 1.01907i | ||||
\(40\) | 6.11405 | + | 1.61813i | 0.966717 | + | 0.255849i | ||||
\(41\) | 0.902077 | − | 1.24160i | 0.140881 | − | 0.193906i | −0.732746 | − | 0.680502i | \(-0.761762\pi\) |
0.873627 | + | 0.486596i | \(0.161762\pi\) | |||||||
\(42\) | 0.163817 | + | 0.741099i | 0.0252776 | + | 0.114354i | ||||
\(43\) | 3.75970i | 0.573349i | 0.958028 | + | 0.286674i | \(0.0925498\pi\) | ||||
−0.958028 | + | 0.286674i | \(0.907450\pi\) | |||||||
\(44\) | −0.135662 | − | 3.79616i | −0.0204518 | − | 0.572292i | ||||
\(45\) | 4.31297 | − | 5.13792i | 0.642940 | − | 0.765916i | ||||
\(46\) | 3.98389 | − | 8.17664i | 0.587393 | − | 1.20558i | ||||
\(47\) | −2.19448 | + | 6.75392i | −0.320098 | + | 0.985161i | 0.653507 | + | 0.756921i | \(0.273297\pi\) |
−0.973605 | + | 0.228240i | \(0.926703\pi\) | |||||||
\(48\) | −0.788456 | − | 6.88319i | −0.113804 | − | 0.993503i | ||||
\(49\) | 6.90399 | 0.986284 | ||||||||
\(50\) | 6.95854 | − | 1.25649i | 0.984086 | − | 0.177694i | ||||
\(51\) | 7.83151 | − | 0.333888i | 1.09663 | − | 0.0467536i | ||||
\(52\) | −8.81381 | + | 3.21610i | −1.22226 | + | 0.445993i | ||||
\(53\) | −0.721525 | − | 0.234438i | −0.0991091 | − | 0.0322025i | 0.259043 | − | 0.965866i | \(-0.416593\pi\) |
−0.358152 | + | 0.933663i | \(0.616593\pi\) | |||||||
\(54\) | −6.96248 | − | 2.35029i | −0.947474 | − | 0.319834i | ||||
\(55\) | −1.93507 | − | 3.78048i | −0.260925 | − | 0.509759i | ||||
\(56\) | 0.871715 | + | 0.0905438i | 0.116488 | + | 0.0120994i | ||||
\(57\) | 9.54870 | − | 0.407098i | 1.26476 | − | 0.0539215i | ||||
\(58\) | −9.51436 | + | 1.68164i | −1.24930 | + | 0.220810i | ||||
\(59\) | −11.0576 | − | 8.03382i | −1.43958 | − | 1.04591i | −0.988131 | − | 0.153617i | \(-0.950908\pi\) |
−0.451447 | − | 0.892298i | \(-0.649092\pi\) | |||||||
\(60\) | −4.05809 | − | 6.59787i | −0.523897 | − | 0.851782i | ||||
\(61\) | −7.66779 | + | 5.57097i | −0.981760 | + | 0.713290i | −0.958101 | − | 0.286430i | \(-0.907531\pi\) |
−0.0236585 | + | 0.999720i | \(0.507531\pi\) | |||||||
\(62\) | 5.92112 | − | 6.13650i | 0.751984 | − | 0.779337i | ||||
\(63\) | 0.480395 | − | 0.795812i | 0.0605241 | − | 0.100263i | ||||
\(64\) | −7.82922 | − | 1.64416i | −0.978653 | − | 0.205520i | ||||
\(65\) | −7.40358 | + | 7.43104i | −0.918301 | + | 0.921707i | ||||
\(66\) | −3.08485 | + | 3.48246i | −0.379719 | + | 0.428661i | ||||
\(67\) | −6.37132 | + | 2.07017i | −0.778380 | + | 0.252911i | −0.671149 | − | 0.741323i | \(-0.734199\pi\) |
−0.107232 | + | 0.994234i | \(0.534199\pi\) | |||||||
\(68\) | 2.48778 | − | 8.70266i | 0.301687 | − | 1.05535i | ||||
\(69\) | −10.4383 | + | 3.89051i | −1.25662 | + | 0.468362i | ||||
\(70\) | 0.925744 | − | 0.321100i | 0.110648 | − | 0.0383787i | ||||
\(71\) | −0.750346 | + | 2.30933i | −0.0890497 | + | 0.274067i | −0.985657 | − | 0.168759i | \(-0.946024\pi\) |
0.896608 | + | 0.442826i | \(0.146024\pi\) | |||||||
\(72\) | −5.11218 | + | 6.77242i | −0.602476 | + | 0.798137i | ||||
\(73\) | −7.60274 | + | 5.52372i | −0.889834 | + | 0.646502i | −0.935835 | − | 0.352439i | \(-0.885352\pi\) |
0.0460010 | + | 0.998941i | \(0.485352\pi\) | |||||||
\(74\) | −5.61902 | − | 0.787367i | −0.653198 | − | 0.0915296i | ||||
\(75\) | −7.23443 | − | 4.76056i | −0.835360 | − | 0.549703i | ||||
\(76\) | 3.03326 | − | 10.6109i | 0.347939 | − | 1.21715i | ||||
\(77\) | −0.345915 | − | 0.476111i | −0.0394207 | − | 0.0542579i | ||||
\(78\) | 10.5350 | + | 4.58848i | 1.19285 | + | 0.519543i | ||||
\(79\) | 1.81171 | + | 0.588659i | 0.203833 | + | 0.0662293i | 0.409154 | − | 0.912465i | \(-0.365824\pi\) |
−0.205321 | + | 0.978695i | \(0.565824\pi\) | |||||||
\(80\) | −8.70797 | + | 2.04235i | −0.973581 | + | 0.228341i | ||||
\(81\) | 4.19262 | + | 7.96379i | 0.465847 | + | 0.884865i | ||||
\(82\) | −0.301186 | + | 2.14940i | −0.0332604 | + | 0.237362i | ||||
\(83\) | 0.792743 | + | 2.43981i | 0.0870149 | + | 0.267804i | 0.985091 | − | 0.172037i | \(-0.0550348\pi\) |
−0.898076 | + | 0.439841i | \(0.855035\pi\) | |||||||
\(84\) | −0.696928 | − | 0.816345i | −0.0760410 | − | 0.0890706i | ||||
\(85\) | −1.60156 | − | 9.99208i | −0.173713 | − | 1.08379i | ||||
\(86\) | −2.49810 | − | 4.69363i | −0.269377 | − | 0.506127i | ||||
\(87\) | 9.86090 | + | 6.54134i | 1.05720 | + | 0.701305i | ||||
\(88\) | 2.69169 | + | 4.64900i | 0.286935 | + | 0.495586i | ||||
\(89\) | −5.28769 | − | 7.27788i | −0.560494 | − | 0.771454i | 0.430895 | − | 0.902402i | \(-0.358198\pi\) |
−0.991389 | + | 0.130948i | \(0.958198\pi\) | |||||||
\(90\) | −1.97049 | + | 9.27993i | −0.207708 | + | 0.978191i | ||||
\(91\) | −0.854388 | + | 1.17596i | −0.0895642 | + | 0.123275i | ||||
\(92\) | 0.459388 | + | 12.8548i | 0.0478945 | + | 1.34021i | ||||
\(93\) | −10.4344 | + | 0.444859i | −1.08200 | + | 0.0461297i | ||||
\(94\) | −1.74798 | − | 9.88974i | −0.180291 | − | 1.02005i | ||||
\(95\) | −1.95272 | − | 12.1830i | −0.200345 | − | 1.24995i | ||||
\(96\) | 5.55779 | + | 8.06913i | 0.567240 | + | 0.823553i | ||||
\(97\) | 3.88035 | − | 11.9425i | 0.393990 | − | 1.21258i | −0.535755 | − | 0.844374i | \(-0.679973\pi\) |
0.929745 | − | 0.368204i | \(-0.120027\pi\) | |||||||
\(98\) | −8.61898 | + | 4.58730i | −0.870649 | + | 0.463387i | ||||
\(99\) | 5.67719 | − | 0.484963i | 0.570579 | − | 0.0487406i | ||||
\(100\) | −7.85222 | + | 6.19215i | −0.785222 | + | 0.619215i | ||||
\(101\) | − | 8.75109i | − | 0.870766i | −0.900245 | − | 0.435383i | \(-0.856613\pi\) | ||
0.900245 | − | 0.435383i | \(-0.143387\pi\) | |||||||
\(102\) | −9.55505 | + | 5.62041i | −0.946091 | + | 0.556503i | ||||
\(103\) | 4.44126 | + | 1.44305i | 0.437610 | + | 0.142188i | 0.519533 | − | 0.854451i | \(-0.326106\pi\) |
−0.0819226 | + | 0.996639i | \(0.526106\pi\) | |||||||
\(104\) | 8.86630 | − | 9.87127i | 0.869413 | − | 0.967957i | ||||
\(105\) | −1.09242 | − | 0.496757i | −0.106610 | − | 0.0484785i | ||||
\(106\) | 1.05653 | − | 0.186738i | 0.102619 | − | 0.0181376i | ||||
\(107\) | 0.307528 | 0.0297299 | 0.0148649 | − | 0.999890i | \(-0.495268\pi\) | ||||
0.0148649 | + | 0.999890i | \(0.495268\pi\) | |||||||
\(108\) | 10.2536 | − | 1.69205i | 0.986656 | − | 0.162818i | ||||
\(109\) | 7.14020 | + | 5.18766i | 0.683908 | + | 0.496888i | 0.874652 | − | 0.484752i | \(-0.161090\pi\) |
−0.190744 | + | 0.981640i | \(0.561090\pi\) | |||||||
\(110\) | 4.92766 | + | 3.43383i | 0.469834 | + | 0.327403i | ||||
\(111\) | 4.32034 | + | 5.44285i | 0.410068 | + | 0.516613i | ||||
\(112\) | −1.14842 | + | 0.466168i | −0.108515 | + | 0.0440488i | ||||
\(113\) | −5.33456 | + | 7.34239i | −0.501833 | + | 0.690714i | −0.982516 | − | 0.186181i | \(-0.940389\pi\) |
0.480682 | + | 0.876895i | \(0.340389\pi\) | |||||||
\(114\) | −11.6502 | + | 6.85278i | −1.09114 | + | 0.641821i | ||||
\(115\) | 6.55269 | + | 12.8017i | 0.611041 | + | 1.19377i | ||||
\(116\) | 10.7604 | − | 8.42110i | 0.999081 | − | 0.781880i | ||||
\(117\) | −5.47233 | − | 12.9659i | −0.505917 | − | 1.19869i | ||||
\(118\) | 19.1424 | + | 2.68233i | 1.76220 | + | 0.246929i | ||||
\(119\) | −0.433332 | − | 1.33366i | −0.0397235 | − | 0.122256i | ||||
\(120\) | 9.45004 | + | 5.54046i | 0.862667 | + | 0.505772i | ||||
\(121\) | −2.28447 | + | 7.03087i | −0.207679 | + | 0.639170i | ||||
\(122\) | 5.87092 | − | 12.0496i | 0.531528 | − | 1.09092i | ||||
\(123\) | 2.08201 | − | 1.65263i | 0.187729 | − | 0.149012i | ||||
\(124\) | −3.31462 | + | 11.5951i | −0.297661 | + | 1.04127i | ||||
\(125\) | −5.02037 | + | 9.98979i | −0.449035 | + | 0.893514i | ||||
\(126\) | −0.0709579 | + | 1.31269i | −0.00632143 | + | 0.116944i | ||||
\(127\) | −8.06366 | − | 11.0987i | −0.715534 | − | 0.984848i | −0.999660 | − | 0.0260609i | \(-0.991704\pi\) |
0.284127 | − | 0.958787i | \(-0.408296\pi\) | |||||||
\(128\) | 10.8665 | − | 3.14948i | 0.960472 | − | 0.278378i | ||||
\(129\) | −1.74669 | + | 6.27337i | −0.153787 | + | 0.552339i | ||||
\(130\) | 4.30518 | − | 14.1962i | 0.377589 | − | 1.24509i | ||||
\(131\) | −0.458670 | − | 1.41164i | −0.0400742 | − | 0.123336i | 0.929018 | − | 0.370035i | \(-0.120654\pi\) |
−0.969092 | + | 0.246699i | \(0.920654\pi\) | |||||||
\(132\) | 1.53726 | − | 6.39722i | 0.133801 | − | 0.556807i | ||||
\(133\) | −0.528348 | − | 1.62609i | −0.0458136 | − | 0.141000i | ||||
\(134\) | 6.57849 | − | 6.81778i | 0.568295 | − | 0.588966i | ||||
\(135\) | 9.58353 | − | 6.56932i | 0.824819 | − | 0.565397i | ||||
\(136\) | 2.67666 | + | 12.5174i | 0.229522 | + | 1.07336i | ||||
\(137\) | −10.6892 | + | 14.7124i | −0.913236 | + | 1.25696i | 0.0528136 | + | 0.998604i | \(0.483181\pi\) |
−0.966050 | + | 0.258357i | \(0.916819\pi\) | |||||||
\(138\) | 10.4462 | − | 11.7925i | 0.889236 | − | 1.00385i | ||||
\(139\) | 6.52821 | + | 8.98531i | 0.553715 | + | 0.762124i | 0.990510 | − | 0.137437i | \(-0.0438865\pi\) |
−0.436795 | + | 0.899561i | \(0.643887\pi\) | |||||||
\(140\) | −0.942352 | + | 1.01597i | −0.0796433 | + | 0.0858647i | ||||
\(141\) | −6.79942 | + | 10.2500i | −0.572614 | + | 0.863202i | ||||
\(142\) | −0.597677 | − | 3.38154i | −0.0501559 | − | 0.283772i | ||||
\(143\) | −8.90981 | −0.745075 | ||||||||
\(144\) | 1.88220 | − | 11.8515i | 0.156850 | − | 0.987622i | ||||
\(145\) | 6.91027 | − | 13.6245i | 0.573866 | − | 1.13145i | ||||
\(146\) | 5.82112 | − | 11.9474i | 0.481759 | − | 0.988775i | ||||
\(147\) | 11.5199 | + | 3.20746i | 0.950143 | + | 0.264547i | ||||
\(148\) | 7.53798 | − | 2.75056i | 0.619618 | − | 0.226094i | ||||
\(149\) | 10.3539i | 0.848222i | 0.905610 | + | 0.424111i | \(0.139413\pi\) | ||||
−0.905610 | + | 0.424111i | \(0.860587\pi\) | |||||||
\(150\) | 12.1946 | + | 1.13626i | 0.995687 | + | 0.0927750i | ||||
\(151\) | − | 19.3082i | − | 1.57128i | −0.618685 | − | 0.785639i | \(-0.712334\pi\) | ||
0.618685 | − | 0.785639i | \(-0.287666\pi\) | |||||||
\(152\) | 3.26356 | + | 15.2621i | 0.264710 | + | 1.23792i | ||||
\(153\) | 13.2226 | + | 3.08125i | 1.06899 | + | 0.249105i | ||||
\(154\) | 0.748191 | + | 0.364540i | 0.0602909 | + | 0.0293755i | ||||
\(155\) | 2.13385 | + | 13.3131i | 0.171395 | + | 1.06933i | ||||
\(156\) | −16.2007 | + | 1.27160i | −1.29709 | + | 0.101809i | ||||
\(157\) | 5.03933 | 0.402182 | 0.201091 | − | 0.979573i | \(-0.435551\pi\) | ||||
0.201091 | + | 0.979573i | \(0.435551\pi\) | |||||||
\(158\) | −2.65287 | + | 0.468888i | −0.211051 | + | 0.0373027i | ||||
\(159\) | −1.09501 | − | 0.726385i | −0.0868398 | − | 0.0576061i | ||||
\(160\) | 9.51407 | − | 8.33562i | 0.752153 | − | 0.658989i | ||||
\(161\) | 1.17136 | + | 1.61224i | 0.0923164 | + | 0.127063i | ||||
\(162\) | −10.5256 | − | 7.15628i | −0.826967 | − | 0.562251i | ||||
\(163\) | 6.18477 | − | 8.51261i | 0.484429 | − | 0.666759i | −0.494920 | − | 0.868939i | \(-0.664803\pi\) |
0.979348 | + | 0.202180i | \(0.0648025\pi\) | |||||||
\(164\) | −1.05215 | − | 2.88344i | −0.0821591 | − | 0.225159i | ||||
\(165\) | −1.47249 | − | 7.20703i | −0.114633 | − | 0.561067i | ||||
\(166\) | −2.61078 | − | 2.51914i | −0.202636 | − | 0.195524i | ||||
\(167\) | −1.55001 | − | 4.77044i | −0.119943 | − | 0.369148i | 0.873003 | − | 0.487716i | \(-0.162170\pi\) |
−0.992946 | + | 0.118568i | \(0.962170\pi\) | |||||||
\(168\) | 1.41246 | + | 0.556062i | 0.108974 | + | 0.0429011i | ||||
\(169\) | 2.78321 | + | 8.56584i | 0.214093 | + | 0.658911i | ||||
\(170\) | 8.63855 | + | 11.4100i | 0.662547 | + | 0.875110i | ||||
\(171\) | 16.1219 | + | 3.75687i | 1.23287 | + | 0.287295i | ||||
\(172\) | 6.23729 | + | 4.19971i | 0.475589 | + | 0.320225i | ||||
\(173\) | −7.28298 | − | 10.0242i | −0.553715 | − | 0.762123i | 0.436796 | − | 0.899561i | \(-0.356113\pi\) |
−0.990510 | + | 0.137438i | \(0.956113\pi\) | |||||||
\(174\) | −16.6567 | − | 1.61425i | −1.26274 | − | 0.122376i | ||||
\(175\) | −0.473295 | + | 1.47521i | −0.0357778 | + | 0.111516i | ||||
\(176\) | −6.44931 | − | 4.01538i | −0.486135 | − | 0.302670i | ||||
\(177\) | −14.7182 | − | 18.5422i | −1.10628 | − | 1.39372i | ||||
\(178\) | 11.4369 | + | 5.57239i | 0.857233 | + | 0.417668i | ||||
\(179\) | −6.67793 | + | 20.5526i | −0.499132 | + | 1.53617i | 0.311285 | + | 0.950317i | \(0.399241\pi\) |
−0.810417 | + | 0.585854i | \(0.800759\pi\) | |||||||
\(180\) | −3.70600 | − | 12.8944i | −0.276229 | − | 0.961092i | ||||
\(181\) | 6.78493 | + | 20.8819i | 0.504320 | + | 1.55214i | 0.801911 | + | 0.597443i | \(0.203817\pi\) |
−0.297592 | + | 0.954693i | \(0.596183\pi\) | |||||||
\(182\) | 0.285263 | − | 2.03577i | 0.0211451 | − | 0.150902i | ||||
\(183\) | −15.3825 | + | 5.73331i | −1.13711 | + | 0.423819i | ||||
\(184\) | −9.11479 | − | 15.7428i | −0.671951 | − | 1.16057i | ||||
\(185\) | 6.33188 | − | 6.35536i | 0.465529 | − | 0.467256i | ||||
\(186\) | 12.7308 | − | 7.48842i | 0.933466 | − | 0.549077i | ||||
\(187\) | 5.05230 | − | 6.95389i | 0.369461 | − | 0.508519i | ||||
\(188\) | 8.75335 | + | 11.1850i | 0.638403 | + | 0.815748i | ||||
\(189\) | 1.17130 | − | 1.10469i | 0.0851994 | − | 0.0803547i | ||||
\(190\) | 10.5327 | + | 13.9119i | 0.764122 | + | 1.00927i | ||||
\(191\) | 4.26831 | + | 3.10111i | 0.308844 | + | 0.224389i | 0.731400 | − | 0.681948i | \(-0.238867\pi\) |
−0.422556 | + | 0.906337i | \(0.638867\pi\) | |||||||
\(192\) | −12.2999 | − | 6.38072i | −0.887665 | − | 0.460489i | ||||
\(193\) | 2.61953 | 0.188558 | 0.0942788 | − | 0.995546i | \(-0.469945\pi\) | ||||
0.0942788 | + | 0.995546i | \(0.469945\pi\) | |||||||
\(194\) | 3.09084 | + | 17.4874i | 0.221909 | + | 1.25552i | ||||
\(195\) | −15.8058 | + | 8.95973i | −1.13188 | + | 0.641620i | ||||
\(196\) | 7.71199 | − | 11.4536i | 0.550857 | − | 0.818116i | ||||
\(197\) | 21.8387 | + | 7.09582i | 1.55594 | + | 0.505556i | 0.955720 | − | 0.294277i | \(-0.0950790\pi\) |
0.600222 | + | 0.799834i | \(0.295079\pi\) | |||||||
\(198\) | −6.76521 | + | 4.37760i | −0.480783 | + | 0.311102i | ||||
\(199\) | 6.62396i | 0.469560i | 0.972049 | + | 0.234780i | \(0.0754370\pi\) | ||||
−0.972049 | + | 0.234780i | \(0.924563\pi\) | |||||||
\(200\) | 5.68843 | − | 12.9477i | 0.402233 | − | 0.915537i | ||||
\(201\) | −11.5928 | + | 0.494247i | −0.817695 | + | 0.0348615i | ||||
\(202\) | 5.81459 | + | 10.9249i | 0.409113 | + | 0.768674i | ||||
\(203\) | 0.654164 | − | 2.01331i | 0.0459133 | − | 0.141307i | ||||
\(204\) | 8.19415 | − | 13.3653i | 0.573705 | − | 0.935760i | ||||
\(205\) | −2.43107 | − | 2.42209i | −0.169793 | − | 0.169166i | ||||
\(206\) | −6.50332 | + | 1.14944i | −0.453108 | + | 0.0800854i | ||||
\(207\) | −19.2245 | + | 1.64222i | −1.33620 | + | 0.114142i | ||||
\(208\) | −4.50987 | + | 18.2145i | −0.312703 | + | 1.26295i | ||||
\(209\) | 6.16010 | − | 8.47865i | 0.426103 | − | 0.586480i | ||||
\(210\) | 1.69386 | − | 0.105698i | 0.116887 | − | 0.00729384i | ||||
\(211\) | 9.71127 | + | 13.3664i | 0.668551 | + | 0.920182i | 0.999726 | − | 0.0233873i | \(-0.00744509\pi\) |
−0.331175 | + | 0.943569i | \(0.607445\pi\) | |||||||
\(212\) | −1.19490 | + | 0.935125i | −0.0820658 | + | 0.0642246i | ||||
\(213\) | −2.32488 | + | 3.50470i | −0.159298 | + | 0.240138i | ||||
\(214\) | −0.383920 | + | 0.204335i | −0.0262442 | + | 0.0139680i | ||||
\(215\) | 8.30586 | + | 1.29976i | 0.566455 | + | 0.0886431i | ||||
\(216\) | −11.6764 | + | 8.92531i | −0.794480 | + | 0.607290i | ||||
\(217\) | 0.577355 | + | 1.77692i | 0.0391934 | + | 0.120625i | ||||
\(218\) | −12.3608 | − | 1.73206i | −0.837177 | − | 0.117310i | ||||
\(219\) | −15.2520 | + | 5.68468i | −1.03064 | + | 0.384135i | ||||
\(220\) | −8.43330 | − | 1.01266i | −0.568573 | − | 0.0682738i | ||||
\(221\) | −20.1912 | − | 6.56052i | −1.35821 | − | 0.441309i | ||||
\(222\) | −9.00999 | − | 3.92428i | −0.604711 | − | 0.263380i | ||||
\(223\) | −12.0612 | − | 16.6009i | −0.807679 | − | 1.11168i | −0.991677 | − | 0.128749i | \(-0.958904\pi\) |
0.183998 | − | 0.982927i | \(-0.441096\pi\) | |||||||
\(224\) | 1.12395 | − | 1.34502i | 0.0750968 | − | 0.0898681i | ||||
\(225\) | −9.85957 | − | 11.3044i | −0.657305 | − | 0.753625i | ||||
\(226\) | 1.78110 | − | 12.7108i | 0.118477 | − | 0.845509i | ||||
\(227\) | 9.87438 | − | 7.17416i | 0.655386 | − | 0.476166i | −0.209716 | − | 0.977762i | \(-0.567254\pi\) |
0.865102 | + | 0.501597i | \(0.167254\pi\) | |||||||
\(228\) | 9.99085 | − | 16.2959i | 0.661660 | − | 1.07922i | ||||
\(229\) | 0.971101 | − | 2.98874i | 0.0641721 | − | 0.197502i | −0.913830 | − | 0.406097i | \(-0.866889\pi\) |
0.978002 | + | 0.208596i | \(0.0668893\pi\) | |||||||
\(230\) | −16.6864 | − | 11.6279i | −1.10027 | − | 0.766720i | ||||
\(231\) | −0.355995 | − | 0.955136i | −0.0234228 | − | 0.0628434i | ||||
\(232\) | −7.83806 | + | 17.6626i | −0.514594 | + | 1.15961i | ||||
\(233\) | −8.86597 | + | 2.88073i | −0.580829 | + | 0.188723i | −0.584672 | − | 0.811270i | \(-0.698777\pi\) |
0.00384306 | + | 0.999993i | \(0.498777\pi\) | |||||||
\(234\) | 15.4468 | + | 12.5506i | 1.00979 | + | 0.820459i | ||||
\(235\) | 14.1620 | + | 7.18290i | 0.923826 | + | 0.468561i | ||||
\(236\) | −25.6797 | + | 9.37036i | −1.67161 | + | 0.609958i | ||||
\(237\) | 2.74950 | + | 1.82391i | 0.178599 | + | 0.118476i | ||||
\(238\) | 1.42711 | + | 1.37702i | 0.0925061 | + | 0.0892593i | ||||
\(239\) | 18.5823 | − | 13.5009i | 1.20199 | − | 0.873298i | 0.207512 | − | 0.978232i | \(-0.433463\pi\) |
0.994479 | + | 0.104935i | \(0.0334634\pi\) | |||||||
\(240\) | −15.4788 | − | 0.637740i | −0.999152 | − | 0.0411659i | ||||
\(241\) | −6.49962 | − | 4.72225i | −0.418677 | − | 0.304187i | 0.358428 | − | 0.933557i | \(-0.383313\pi\) |
−0.777105 | + | 0.629371i | \(0.783313\pi\) | |||||||
\(242\) | −1.81966 | − | 10.2953i | −0.116972 | − | 0.661806i | ||||
\(243\) | 3.29591 | + | 15.2360i | 0.211433 | + | 0.977393i | ||||
\(244\) | 0.676985 | + | 18.9437i | 0.0433395 | + | 1.21275i | ||||
\(245\) | 2.38677 | − | 15.2522i | 0.152485 | − | 0.974425i | ||||
\(246\) | −1.50112 | + | 3.44653i | −0.0957082 | + | 0.219742i | ||||
\(247\) | −24.6185 | − | 7.99903i | −1.56644 | − | 0.508966i | ||||
\(248\) | −3.56628 | − | 16.6777i | −0.226459 | − | 1.05904i | ||||
\(249\) | 0.189265 | + | 4.43932i | 0.0119942 | + | 0.281330i | ||||
\(250\) | −0.370175 | − | 15.8071i | −0.0234119 | − | 0.999726i | ||||
\(251\) | −26.8547 | −1.69505 | −0.847527 | − | 0.530752i | \(-0.821909\pi\) | ||||
−0.847527 | + | 0.530752i | \(0.821909\pi\) | |||||||
\(252\) | −0.783622 | − | 1.68592i | −0.0493636 | − | 0.106203i | ||||
\(253\) | −3.77474 | + | 11.6175i | −0.237316 | + | 0.730383i | ||||
\(254\) | 17.4411 | + | 8.49781i | 1.09435 | + | 0.533200i | ||||
\(255\) | 1.96981 | − | 17.4167i | 0.123354 | − | 1.09067i | ||||
\(256\) | −11.4731 | + | 11.1520i | −0.717072 | + | 0.696999i | ||||
\(257\) | 3.87994i | 0.242024i | 0.992651 | + | 0.121012i | \(0.0386140\pi\) | ||||
−0.992651 | + | 0.121012i | \(0.961386\pi\) | |||||||
\(258\) | −1.98771 | − | 8.99228i | −0.123750 | − | 0.559835i | ||||
\(259\) | 0.730712 | − | 1.00574i | 0.0454042 | − | 0.0624936i | ||||
\(260\) | 4.05794 | + | 20.5832i | 0.251663 | + | 1.27651i | ||||
\(261\) | 13.4147 | + | 15.4959i | 0.830351 | + | 0.959175i | ||||
\(262\) | 1.51056 | + | 1.45754i | 0.0933227 | + | 0.0900472i | ||||
\(263\) | 11.2726 | + | 8.19005i | 0.695101 | + | 0.505020i | 0.878333 | − | 0.478049i | \(-0.158656\pi\) |
−0.183232 | + | 0.983070i | \(0.558656\pi\) | |||||||
\(264\) | 2.33146 | + | 9.00775i | 0.143491 | + | 0.554389i | ||||
\(265\) | −0.767353 | + | 1.51293i | −0.0471381 | + | 0.0929387i | ||||
\(266\) | 1.74003 | + | 1.67896i | 0.106688 | + | 0.102944i | ||||
\(267\) | −5.44178 | − | 14.6003i | −0.333031 | − | 0.893524i | ||||
\(268\) | −3.68260 | + | 12.8824i | −0.224951 | + | 0.786916i | ||||
\(269\) | 13.6533 | − | 4.43622i | 0.832456 | − | 0.270481i | 0.138376 | − | 0.990380i | \(-0.455812\pi\) |
0.694079 | + | 0.719899i | \(0.255812\pi\) | |||||||
\(270\) | −7.59921 | + | 14.5689i | −0.462473 | + | 0.886633i | ||||
\(271\) | 1.44312 | + | 0.468897i | 0.0876630 | + | 0.0284834i | 0.352520 | − | 0.935804i | \(-0.385325\pi\) |
−0.264857 | + | 0.964288i | \(0.585325\pi\) | |||||||
\(272\) | −11.6587 | − | 13.8484i | −0.706910 | − | 0.839680i | ||||
\(273\) | −1.97195 | + | 1.56526i | −0.119348 | + | 0.0947339i | ||||
\(274\) | 3.56890 | − | 25.4693i | 0.215605 | − | 1.53866i | ||||
\(275\) | −9.02073 | + | 2.96798i | −0.543971 | + | 0.178976i | ||||
\(276\) | −5.20558 | + | 21.6627i | −0.313339 | + | 1.30394i | ||||
\(277\) | 10.4349 | − | 7.58142i | 0.626974 | − | 0.455523i | −0.228377 | − | 0.973573i | \(-0.573342\pi\) |
0.855350 | + | 0.518050i | \(0.173342\pi\) | |||||||
\(278\) | −14.1201 | − | 6.87970i | −0.846865 | − | 0.412617i | ||||
\(279\) | −17.6173 | − | 4.10534i | −1.05472 | − | 0.245780i | ||||
\(280\) | 0.501388 | − | 1.89447i | 0.0299636 | − | 0.113217i | ||||
\(281\) | 24.2794 | − | 7.88884i | 1.44838 | − | 0.470609i | 0.523884 | − | 0.851789i | \(-0.324482\pi\) |
0.924501 | + | 0.381181i | \(0.124482\pi\) | |||||||
\(282\) | 1.67794 | − | 17.3139i | 0.0999196 | − | 1.03103i | ||||
\(283\) | −2.52345 | + | 0.819917i | −0.150003 | + | 0.0487390i | −0.383056 | − | 0.923725i | \(-0.625128\pi\) |
0.233053 | + | 0.972464i | \(0.425128\pi\) | |||||||
\(284\) | 2.99298 | + | 3.82441i | 0.177601 | + | 0.226937i | ||||
\(285\) | 2.40172 | − | 21.2355i | 0.142266 | − | 1.25789i | ||||
\(286\) | 11.1231 | − | 5.92005i | 0.657720 | − | 0.350060i | ||||
\(287\) | −0.384718 | − | 0.279514i | −0.0227092 | − | 0.0164992i | ||||
\(288\) | 5.52486 | + | 16.0461i | 0.325556 | + | 0.945523i | ||||
\(289\) | 2.81646 | − | 2.04628i | 0.165674 | − | 0.120369i | ||||
\(290\) | 0.425837 | + | 21.6003i | 0.0250060 | + | 1.26841i | ||||
\(291\) | 12.0229 | − | 18.1243i | 0.704798 | − | 1.06247i | ||||
\(292\) | 0.671242 | + | 18.7830i | 0.0392815 | + | 1.09919i | ||||
\(293\) | − | 25.7575i | − | 1.50477i | −0.658726 | − | 0.752383i | \(-0.728904\pi\) | ||
0.658726 | − | 0.752383i | \(-0.271096\pi\) | |||||||
\(294\) | −16.5126 | + | 3.65007i | −0.963037 | + | 0.212876i | ||||
\(295\) | −21.5709 | + | 21.6509i | −1.25591 | + | 1.26056i | ||||
\(296\) | −7.58287 | + | 8.44236i | −0.440745 | + | 0.490702i | ||||
\(297\) | 9.69817 | + | 1.82832i | 0.562745 | + | 0.106090i | ||||
\(298\) | −6.87954 | − | 12.9258i | −0.398521 | − | 0.748773i | ||||
\(299\) | 30.1710 | 1.74484 | ||||||||
\(300\) | −15.9788 | + | 6.68411i | −0.922538 | + | 0.385907i | ||||
\(301\) | 1.16497 | 0.0671475 | ||||||||
\(302\) | 12.8292 | + | 24.1045i | 0.738236 | + | 1.38706i | ||||
\(303\) | 4.06559 | − | 14.6019i | 0.233562 | − | 0.838858i | ||||
\(304\) | −14.2150 | − | 16.8848i | −0.815287 | − | 0.968412i | ||||
\(305\) | 9.65647 | + | 18.8655i | 0.552928 | + | 1.08023i | ||||
\(306\) | −18.5545 | + | 4.93901i | −1.06069 | + | 0.282345i | ||||
\(307\) | − | 12.4595i | − | 0.711099i | −0.934657 | − | 0.355550i | \(-0.884294\pi\) | ||
0.934657 | − | 0.355550i | \(-0.115706\pi\) | |||||||
\(308\) | −1.17626 | + | 0.0420356i | −0.0670237 | + | 0.00239520i | ||||
\(309\) | 6.74019 | + | 4.47118i | 0.383436 | + | 0.254356i | ||||
\(310\) | −11.5097 | − | 15.2023i | −0.653705 | − | 0.863432i | ||||
\(311\) | 6.46908 | − | 4.70006i | 0.366828 | − | 0.266516i | −0.389067 | − | 0.921210i | \(-0.627202\pi\) |
0.755894 | + | 0.654694i | \(0.227202\pi\) | |||||||
\(312\) | 19.3802 | − | 12.3519i | 1.09719 | − | 0.699288i | ||||
\(313\) | −18.1139 | − | 13.1605i | −1.02386 | − | 0.743875i | −0.0567864 | − | 0.998386i | \(-0.518085\pi\) |
−0.967070 | + | 0.254511i | \(0.918085\pi\) | |||||||
\(314\) | −6.29113 | + | 3.34834i | −0.355029 | + | 0.188958i | ||||
\(315\) | −1.59202 | − | 1.33640i | −0.0896999 | − | 0.0752976i | ||||
\(316\) | 3.00031 | − | 2.34804i | 0.168781 | − | 0.132088i | ||||
\(317\) | 16.3147 | − | 5.30095i | 0.916323 | − | 0.297731i | 0.187365 | − | 0.982290i | \(-0.440005\pi\) |
0.728957 | + | 0.684559i | \(0.240005\pi\) | |||||||
\(318\) | 1.84965 | + | 0.179255i | 0.103723 | + | 0.0100521i | ||||
\(319\) | 12.3408 | − | 4.00976i | 0.690950 | − | 0.224503i | ||||
\(320\) | −6.33888 | + | 16.7278i | −0.354354 | + | 0.935111i | ||||
\(321\) | 0.513136 | + | 0.142872i | 0.0286404 | + | 0.00797433i | ||||
\(322\) | −2.53358 | − | 1.23443i | −0.141191 | − | 0.0687922i | ||||
\(323\) | 20.2029 | − | 14.6783i | 1.12412 | − | 0.816722i | ||||
\(324\) | 17.8951 | + | 1.94032i | 0.994173 | + | 0.107796i | ||||
\(325\) | 13.8570 | + | 18.9248i | 0.768650 | + | 1.04976i | ||||
\(326\) | −2.06497 | + | 14.7366i | −0.114368 | + | 0.816185i | ||||
\(327\) | 9.50392 | + | 11.9732i | 0.525568 | + | 0.662122i | ||||
\(328\) | 3.22939 | + | 2.90062i | 0.178313 | + | 0.160160i | ||||
\(329\) | 2.09274 | + | 0.679973i | 0.115377 | + | 0.0374881i | ||||
\(330\) | 6.62691 | + | 8.01892i | 0.364800 | + | 0.441427i | ||||
\(331\) | −33.9964 | + | 11.0461i | −1.86861 | + | 0.607149i | −0.876566 | + | 0.481282i | \(0.840171\pi\) |
−0.992047 | + | 0.125867i | \(0.959829\pi\) | |||||||
\(332\) | 4.93314 | + | 1.41020i | 0.270741 | + | 0.0773950i | ||||
\(333\) | 4.68019 | + | 11.0890i | 0.256473 | + | 0.607673i | ||||
\(334\) | 5.10472 | + | 4.92555i | 0.279318 | + | 0.269514i | ||||
\(335\) | 2.37075 | + | 14.7911i | 0.129528 | + | 0.808123i | ||||
\(336\) | −2.13280 | + | 0.244308i | −0.116354 | + | 0.0133281i | ||||
\(337\) | −3.49101 | − | 2.53637i | −0.190167 | − | 0.138165i | 0.488628 | − | 0.872492i | \(-0.337498\pi\) |
−0.678795 | + | 0.734328i | \(0.737498\pi\) | |||||||
\(338\) | −9.16608 | − | 8.84436i | −0.498569 | − | 0.481070i | ||||
\(339\) | −12.3123 | + | 9.77304i | −0.668712 | + | 0.530799i | ||||
\(340\) | −18.3657 | − | 8.50454i | −0.996021 | − | 0.461223i | ||||
\(341\) | −6.73149 | + | 9.26510i | −0.364531 | + | 0.501733i | ||||
\(342\) | −22.6229 | + | 6.02197i | −1.22331 | + | 0.325631i | ||||
\(343\) | − | 4.30823i | − | 0.232623i | ||||||
\(344\) | −10.5771 | − | 1.09863i | −0.570281 | − | 0.0592343i | ||||
\(345\) | 4.98625 | + | 24.4050i | 0.268450 | + | 1.31392i | ||||
\(346\) | 15.7526 | + | 7.67510i | 0.846864 | + | 0.412616i | ||||
\(347\) | 4.70767 | − | 14.4887i | 0.252721 | − | 0.777795i | −0.741549 | − | 0.670898i | \(-0.765909\pi\) |
0.994270 | − | 0.106896i | \(-0.0340913\pi\) | |||||||
\(348\) | 21.8669 | − | 9.05220i | 1.17219 | − | 0.485249i | ||||
\(349\) | 6.71463 | 0.359426 | 0.179713 | − | 0.983719i | \(-0.442483\pi\) | ||||
0.179713 | + | 0.983719i | \(0.442483\pi\) | |||||||
\(350\) | −0.389329 | − | 2.15614i | −0.0208105 | − | 0.115251i | ||||
\(351\) | −3.10734 | − | 24.1769i | −0.165858 | − | 1.29047i | ||||
\(352\) | 10.7193 | + | 0.727629i | 0.571343 | + | 0.0387828i | ||||
\(353\) | 12.7469 | + | 4.14173i | 0.678451 | + | 0.220442i | 0.627917 | − | 0.778280i | \(-0.283908\pi\) |
0.0505337 | + | 0.998722i | \(0.483908\pi\) | |||||||
\(354\) | 30.6945 | + | 13.3689i | 1.63139 | + | 0.710548i | ||||
\(355\) | 4.84232 | + | 2.45601i | 0.257004 | + | 0.130351i | ||||
\(356\) | −17.9804 | + | 0.642560i | −0.952961 | + | 0.0340556i | ||||
\(357\) | −0.103457 | − | 2.42664i | −0.00547553 | − | 0.128431i | ||||
\(358\) | −5.31921 | − | 30.0950i | −0.281129 | − | 1.59057i | ||||
\(359\) | −19.8499 | − | 14.4218i | −1.04764 | − | 0.761153i | −0.0758753 | − | 0.997117i | \(-0.524175\pi\) |
−0.971762 | + | 0.235965i | \(0.924175\pi\) | |||||||
\(360\) | 13.1942 | + | 13.6350i | 0.695394 | + | 0.718629i | ||||
\(361\) | 9.26145 | − | 6.72883i | 0.487445 | − | 0.354149i | ||||
\(362\) | −22.3451 | − | 21.5608i | −1.17443 | − | 1.13321i | ||||
\(363\) | −7.07824 | + | 10.6703i | −0.371511 | + | 0.560044i | ||||
\(364\) | 0.996528 | + | 2.73101i | 0.0522322 | + | 0.143144i | ||||
\(365\) | 9.57455 | + | 18.7054i | 0.501155 | + | 0.979087i | ||||
\(366\) | 15.3941 | − | 17.3783i | 0.804665 | − | 0.908377i | ||||
\(367\) | 29.8410 | − | 9.69594i | 1.55769 | − | 0.506124i | 0.601500 | − | 0.798872i | \(-0.294570\pi\) |
0.956190 | + | 0.292748i | \(0.0945698\pi\) | |||||||
\(368\) | 21.8391 | + | 13.5972i | 1.13844 | + | 0.708801i | ||||
\(369\) | 4.24179 | − | 1.79028i | 0.220819 | − | 0.0931981i | ||||
\(370\) | −3.68198 | + | 12.1412i | −0.191417 | + | 0.631193i | ||||
\(371\) | −0.0726419 | + | 0.223569i | −0.00377138 | + | 0.0116071i | ||||
\(372\) | −10.9176 | + | 17.8074i | −0.566050 | + | 0.923273i | ||||
\(373\) | 2.56104 | − | 1.86070i | 0.132606 | − | 0.0963436i | −0.519505 | − | 0.854467i | \(-0.673884\pi\) |
0.652111 | + | 0.758124i | \(0.273884\pi\) | |||||||
\(374\) | −1.68686 | + | 12.0382i | −0.0872256 | + | 0.622483i | ||||
\(375\) | −13.0180 | + | 14.3364i | −0.672245 | + | 0.740329i | ||||
\(376\) | −18.3595 | − | 8.14730i | −0.946819 | − | 0.420165i | ||||
\(377\) | −18.8382 | − | 25.9286i | −0.970218 | − | 1.33539i | ||||
\(378\) | −0.728250 | + | 2.15737i | −0.0374572 | + | 0.110963i | ||||
\(379\) | 16.6493 | + | 5.40969i | 0.855217 | + | 0.277877i | 0.703630 | − | 0.710567i | \(-0.251561\pi\) |
0.151588 | + | 0.988444i | \(0.451561\pi\) | |||||||
\(380\) | −22.3927 | − | 10.3693i | −1.14872 | − | 0.531934i | ||||
\(381\) | −8.29863 | − | 22.2653i | −0.425152 | − | 1.14068i | ||||
\(382\) | −7.38910 | − | 1.03540i | −0.378059 | − | 0.0529757i | ||||
\(383\) | −6.59223 | − | 20.2888i | −0.336847 | − | 1.03671i | −0.965805 | − | 0.259270i | \(-0.916518\pi\) |
0.628958 | − | 0.777439i | \(-0.283482\pi\) | |||||||
\(384\) | 19.5948 | − | 0.206801i | 0.999944 | − | 0.0105533i | ||||
\(385\) | −1.17140 | + | 0.599593i | −0.0597002 | + | 0.0305581i | ||||
\(386\) | −3.27023 | + | 1.74052i | −0.166450 | + | 0.0885903i | ||||
\(387\) | −5.82898 | + | 9.65615i | −0.296304 | + | 0.490850i | ||||
\(388\) | −15.4780 | − | 19.7776i | −0.785774 | − | 1.00406i | ||||
\(389\) | 4.43623 | + | 6.10594i | 0.224926 | + | 0.309583i | 0.906533 | − | 0.422134i | \(-0.138719\pi\) |
−0.681608 | + | 0.731718i | \(0.738719\pi\) | |||||||
\(390\) | 13.7788 | − | 21.6874i | 0.697718 | − | 1.09818i | ||||
\(391\) | −17.1085 | + | 23.5478i | −0.865213 | + | 1.19086i | ||||
\(392\) | −2.01743 | + | 19.4229i | −0.101896 | + | 0.981007i | ||||
\(393\) | −0.109506 | − | 2.56853i | −0.00552387 | − | 0.129565i | ||||
\(394\) | −31.9783 | + | 5.65207i | −1.61104 | + | 0.284747i | ||||
\(395\) | 1.92678 | − | 3.79888i | 0.0969467 | − | 0.191142i | ||||
\(396\) | 5.53707 | − | 9.96010i | 0.278248 | − | 0.500514i | ||||
\(397\) | −8.37440 | + | 25.7738i | −0.420299 | + | 1.29355i | 0.487125 | + | 0.873332i | \(0.338046\pi\) |
−0.907424 | + | 0.420216i | \(0.861954\pi\) | |||||||
\(398\) | −4.40124 | − | 8.26939i | −0.220614 | − | 0.414507i | ||||
\(399\) | −0.126142 | − | 2.95872i | −0.00631498 | − | 0.148121i | ||||
\(400\) | 1.50149 | + | 19.9436i | 0.0750744 | + | 0.997178i | ||||
\(401\) | − | 15.4298i | − | 0.770526i | −0.922807 | − | 0.385263i | \(-0.874111\pi\) | ||
0.922807 | − | 0.385263i | \(-0.125889\pi\) | |||||||
\(402\) | 14.1442 | − | 8.31978i | 0.705446 | − | 0.414953i | ||||
\(403\) | 26.9020 | + | 8.74099i | 1.34008 | + | 0.435420i | ||||
\(404\) | −14.5179 | − | 9.77527i | −0.722294 | − | 0.486338i | ||||
\(405\) | 19.0429 | − | 6.50911i | 0.946249 | − | 0.323440i | ||||
\(406\) | 0.521065 | + | 2.94808i | 0.0258600 | + | 0.146311i | ||||
\(407\) | 7.62007 | 0.377713 | ||||||||
\(408\) | −1.34914 | + | 22.1299i | −0.0667926 | + | 1.09559i | ||||
\(409\) | −23.6000 | − | 17.1464i | −1.16694 | − | 0.847834i | −0.176303 | − | 0.984336i | \(-0.556414\pi\) |
−0.990640 | + | 0.136502i | \(0.956414\pi\) | |||||||
\(410\) | 4.64430 | + | 1.40844i | 0.229365 | + | 0.0695580i | ||||
\(411\) | −24.6708 | + | 19.5828i | −1.21692 | + | 0.965948i | ||||
\(412\) | 7.35504 | − | 5.75605i | 0.362357 | − | 0.283580i | ||||
\(413\) | −2.48933 | + | 3.42626i | −0.122492 | + | 0.168595i | ||||
\(414\) | 22.9089 | − | 14.8237i | 1.12591 | − | 0.728547i | ||||
\(415\) | 5.66405 | − | 0.907848i | 0.278037 | − | 0.0445645i | ||||
\(416\) | −6.47232 | − | 25.7356i | −0.317332 | − | 1.26179i | ||||
\(417\) | 6.71844 | + | 18.0256i | 0.329004 | + | 0.882717i | ||||
\(418\) | −2.05674 | + | 14.6778i | −0.100598 | + | 0.717916i | ||||
\(419\) | 8.89913 | + | 27.3887i | 0.434751 | + | 1.33803i | 0.893342 | + | 0.449378i | \(0.148354\pi\) |
−0.458591 | + | 0.888648i | \(0.651646\pi\) | |||||||
\(420\) | −2.04439 | + | 1.25742i | −0.0997560 | + | 0.0613559i | ||||
\(421\) | 7.02569 | − | 21.6229i | 0.342411 | − | 1.05383i | −0.620544 | − | 0.784172i | \(-0.713088\pi\) |
0.962955 | − | 0.269662i | \(-0.0869119\pi\) | |||||||
\(422\) | −21.0048 | − | 10.2341i | −1.02250 | − | 0.498190i | ||||
\(423\) | −16.1073 | + | 13.9440i | −0.783165 | + | 0.677980i | ||||
\(424\) | 0.870380 | − | 1.96135i | 0.0422694 | − | 0.0952518i | ||||
\(425\) | −22.6280 | + | 0.0837748i | −1.09762 | + | 0.00406367i | ||||
\(426\) | 0.573726 | − | 5.92004i | 0.0277971 | − | 0.286827i | ||||
\(427\) | 1.72620 | + | 2.37591i | 0.0835366 | + | 0.114978i | ||||
\(428\) | 0.343519 | − | 0.510185i | 0.0166046 | − | 0.0246607i | ||||
\(429\) | −14.8667 | − | 4.13933i | −0.717773 | − | 0.199849i | ||||
\(430\) | −11.2327 | + | 3.89613i | −0.541689 | + | 0.187888i | ||||
\(431\) | 4.98781 | + | 15.3509i | 0.240255 | + | 0.739428i | 0.996381 | + | 0.0850017i | \(0.0270896\pi\) |
−0.756126 | + | 0.654426i | \(0.772910\pi\) | |||||||
\(432\) | 8.64657 | − | 18.9007i | 0.416008 | − | 0.909361i | ||||
\(433\) | −3.93756 | − | 12.1186i | −0.189227 | − | 0.582380i | 0.810769 | − | 0.585367i | \(-0.199049\pi\) |
−0.999996 | + | 0.00298628i | \(0.999049\pi\) | |||||||
\(434\) | −1.90143 | − | 1.83469i | −0.0912716 | − | 0.0880682i | ||||
\(435\) | 17.8600 | − | 19.5231i | 0.856322 | − | 0.936062i | ||||
\(436\) | 16.5821 | − | 6.05070i | 0.794139 | − | 0.289776i | ||||
\(437\) | −20.8598 | + | 28.7110i | −0.997859 | + | 1.37343i | ||||
\(438\) | 15.2636 | − | 17.2309i | 0.729321 | − | 0.823322i | ||||
\(439\) | −0.00992669 | − | 0.0136629i | −0.000473775 | − | 0.000652095i | 0.808780 | − | 0.588111i | \(-0.200128\pi\) |
−0.809254 | + | 0.587459i | \(0.800128\pi\) | |||||||
\(440\) | 11.2010 | − | 4.33922i | 0.533989 | − | 0.206864i | ||||
\(441\) | 17.7317 | + | 10.7038i | 0.844367 | + | 0.509706i | ||||
\(442\) | 29.5659 | − | 5.22569i | 1.40631 | − | 0.248561i | ||||
\(443\) | 13.3387 | 0.633739 | 0.316870 | − | 0.948469i | \(-0.397368\pi\) | ||||
0.316870 | + | 0.948469i | \(0.397368\pi\) | |||||||
\(444\) | 13.8556 | − | 1.08753i | 0.657557 | − | 0.0516117i | ||||
\(445\) | −17.9062 | + | 9.16544i | −0.848834 | + | 0.434484i | ||||
\(446\) | 26.0876 | + | 12.7106i | 1.23528 | + | 0.601865i | ||||
\(447\) | −4.81021 | + | 17.2763i | −0.227515 | + | 0.817139i | ||||
\(448\) | −0.509452 | + | 2.42593i | −0.0240694 | + | 0.114614i | ||||
\(449\) | − | 34.1036i | − | 1.60945i | −0.593649 | − | 0.804724i | \(-0.702313\pi\) | ||
0.593649 | − | 0.804724i | \(-0.297687\pi\) | |||||||
\(450\) | 19.8198 | + | 7.56133i | 0.934316 | + | 0.356445i | ||||
\(451\) | − | 2.91485i | − | 0.137255i | ||||||
\(452\) | 6.22204 | + | 17.0517i | 0.292660 | + | 0.802043i | ||||
\(453\) | 8.97022 | − | 32.2173i | 0.421458 | − | 1.51370i | ||||
\(454\) | −7.56043 | + | 15.5172i | −0.354828 | + | 0.728259i | ||||
\(455\) | 2.30255 | + | 2.29404i | 0.107945 | + | 0.107546i | ||||
\(456\) | −1.64497 | + | 26.9822i | −0.0770326 | + | 1.26356i | ||||
\(457\) | −31.6417 | −1.48014 | −0.740069 | − | 0.672531i | \(-0.765207\pi\) | ||||
−0.740069 | + | 0.672531i | \(0.765207\pi\) | |||||||
\(458\) | 0.773516 | + | 4.37640i | 0.0361440 | + | 0.204496i | ||||
\(459\) | 20.6315 | + | 11.2843i | 0.962998 | + | 0.526706i | ||||
\(460\) | 28.5575 | + | 3.42916i | 1.33150 | + | 0.159885i | ||||
\(461\) | 7.09986 | + | 9.77212i | 0.330673 | + | 0.455133i | 0.941688 | − | 0.336486i | \(-0.109238\pi\) |
−0.611015 | + | 0.791619i | \(0.709238\pi\) | |||||||
\(462\) | 1.07906 | + | 0.955860i | 0.0502024 | + | 0.0444706i | ||||
\(463\) | 20.5543 | − | 28.2905i | 0.955238 | − | 1.31477i | 0.00607669 | − | 0.999982i | \(-0.498066\pi\) |
0.949161 | − | 0.314791i | \(-0.101934\pi\) | |||||||
\(464\) | −1.95071 | − | 27.2581i | −0.0905597 | − | 1.26542i | ||||
\(465\) | −2.62449 | + | 23.2053i | −0.121708 | + | 1.07612i | ||||
\(466\) | 9.15425 | − | 9.48723i | 0.424062 | − | 0.439488i | ||||
\(467\) | −3.83021 | − | 11.7882i | −0.177241 | − | 0.545492i | 0.822488 | − | 0.568783i | \(-0.192586\pi\) |
−0.999729 | + | 0.0232909i | \(0.992586\pi\) | |||||||
\(468\) | −27.6230 | − | 5.40478i | −1.27687 | − | 0.249836i | ||||
\(469\) | 0.641453 | + | 1.97419i | 0.0296196 | + | 0.0911596i | ||||
\(470\) | −22.4525 | + | 0.442638i | −1.03566 | + | 0.0204174i | ||||
\(471\) | 8.40853 | + | 2.34118i | 0.387445 | + | 0.107876i | ||||
\(472\) | 25.8327 | − | 28.7607i | 1.18904 | − | 1.32382i | ||||
\(473\) | 4.19723 | + | 5.77700i | 0.192989 | + | 0.265627i | ||||
\(474\) | −4.64437 | − | 0.450098i | −0.213323 | − | 0.0206737i | ||||
\(475\) | −27.5896 | + | 0.102144i | −1.26590 | + | 0.00468668i | ||||
\(476\) | −2.69657 | − | 0.770852i | −0.123597 | − | 0.0353319i | ||||
\(477\) | −1.48964 | − | 1.72075i | −0.0682061 | − | 0.0787879i | ||||
\(478\) | −14.2278 | + | 29.2014i | −0.650763 | + | 1.33564i | ||||
\(479\) | −0.322045 | + | 0.991153i | −0.0147146 | + | 0.0452869i | −0.958144 | − | 0.286286i | \(-0.907579\pi\) |
0.943430 | + | 0.331573i | \(0.107579\pi\) | |||||||
\(480\) | 19.7476 | − | 9.48860i | 0.901349 | − | 0.433094i | ||||
\(481\) | −5.81604 | − | 17.8999i | −0.265189 | − | 0.816166i | ||||
\(482\) | 11.2518 | + | 1.57667i | 0.512506 | + | 0.0718151i | ||||
\(483\) | 1.20550 | + | 3.23435i | 0.0548520 | + | 0.147168i | ||||
\(484\) | 9.11229 | + | 11.6436i | 0.414195 | + | 0.529256i | ||||
\(485\) | −25.0417 | − | 12.7010i | −1.13708 | − | 0.576725i | ||||
\(486\) | −14.2381 | − | 16.8308i | −0.645853 | − | 0.763462i | ||||
\(487\) | −15.6093 | + | 21.4843i | −0.707323 | + | 0.973547i | 0.292527 | + | 0.956257i | \(0.405504\pi\) |
−0.999851 | + | 0.0172900i | \(0.994496\pi\) | |||||||
\(488\) | −13.4322 | − | 23.1996i | −0.608045 | − | 1.05020i | ||||
\(489\) | 14.2746 | − | 11.3307i | 0.645519 | − | 0.512390i | ||||
\(490\) | 7.15452 | + | 20.6268i | 0.323208 | + | 0.931822i | ||||
\(491\) | −25.8833 | − | 18.8053i | −1.16810 | − | 0.848671i | −0.177316 | − | 0.984154i | \(-0.556741\pi\) |
−0.990780 | + | 0.135483i | \(0.956741\pi\) | |||||||
\(492\) | −0.416003 | − | 5.30007i | −0.0187549 | − | 0.238946i | ||||
\(493\) | 30.9189 | 1.39252 | ||||||||
\(494\) | 36.0487 | − | 6.37151i | 1.62191 | − | 0.286668i | ||||
\(495\) | 0.891286 | − | 12.7096i | 0.0400603 | − | 0.571255i | ||||
\(496\) | 15.5336 | + | 18.4510i | 0.697477 | + | 0.828475i | ||||
\(497\) | 0.715558 | + | 0.232499i | 0.0320972 | + | 0.0104290i | ||||
\(498\) | −3.18595 | − | 5.41632i | −0.142766 | − | 0.242711i | ||||
\(499\) | − | 22.0312i | − | 0.986252i | −0.869958 | − | 0.493126i | \(-0.835854\pi\) | ||
0.869958 | − | 0.493126i | \(-0.164146\pi\) | |||||||
\(500\) | 10.9650 | + | 19.4877i | 0.490370 | + | 0.871515i | ||||
\(501\) | −0.370061 | − | 8.67997i | −0.0165331 | − | 0.387792i | ||||
\(502\) | 33.5256 | − | 17.8434i | 1.49632 | − | 0.796389i | ||||
\(503\) | −5.57845 | + | 17.1687i | −0.248731 | + | 0.765514i | 0.746270 | + | 0.665644i | \(0.231843\pi\) |
−0.995000 | + | 0.0998705i | \(0.968157\pi\) | |||||||
\(504\) | 2.09847 | + | 1.58404i | 0.0934734 | + | 0.0705587i | ||||
\(505\) | −19.3328 | − | 3.02533i | −0.860296 | − | 0.134626i | ||||
\(506\) | −3.00671 | − | 17.0114i | −0.133665 | − | 0.756249i | ||||
\(507\) | 0.664484 | + | 15.5858i | 0.0295108 | + | 0.692191i | ||||
\(508\) | −27.4199 | + | 0.979896i | −1.21656 | + | 0.0434758i | ||||
\(509\) | −17.7421 | + | 24.4200i | −0.786406 | + | 1.08240i | 0.208140 | + | 0.978099i | \(0.433259\pi\) |
−0.994546 | + | 0.104296i | \(0.966741\pi\) | |||||||
\(510\) | 9.11324 | + | 23.0519i | 0.403541 | + | 1.02075i | ||||
\(511\) | 1.71156 | + | 2.35575i | 0.0757147 | + | 0.104212i | ||||
\(512\) | 6.91330 | − | 21.5454i | 0.305528 | − | 0.952183i | ||||
\(513\) | 25.1553 | + | 13.7586i | 1.11064 | + | 0.607456i | ||||
\(514\) | −2.57800 | − | 4.84374i | −0.113711 | − | 0.213648i | ||||
\(515\) | 4.72335 | − | 9.31267i | 0.208136 | − | 0.410365i | ||||
\(516\) | 8.45632 | + | 9.90529i | 0.372269 | + | 0.436056i | ||||
\(517\) | 4.16796 | + | 12.8277i | 0.183307 | + | 0.564160i | ||||
\(518\) | −0.243970 | + | 1.74109i | −0.0107194 | + | 0.0764989i | ||||
\(519\) | −7.49521 | − | 20.1097i | −0.329003 | − | 0.882716i | ||||
\(520\) | −18.7423 | − | 22.9999i | −0.821902 | − | 1.00861i | ||||
\(521\) | −2.15432 | − | 0.699982i | −0.0943826 | − | 0.0306668i | 0.261445 | − | 0.965218i | \(-0.415801\pi\) |
−0.355828 | + | 0.934552i | \(0.615801\pi\) | |||||||
\(522\) | −27.0432 | − | 10.4319i | −1.18365 | − | 0.456592i | ||||
\(523\) | 2.94584 | + | 4.05459i | 0.128812 | + | 0.177295i | 0.868552 | − | 0.495598i | \(-0.165051\pi\) |
−0.739739 | + | 0.672893i | \(0.765051\pi\) | |||||||
\(524\) | −2.85424 | − | 0.815925i | −0.124688 | − | 0.0356438i | ||||
\(525\) | −1.47509 | + | 2.24163i | −0.0643781 | + | 0.0978328i | ||||
\(526\) | −19.5146 | − | 2.73450i | −0.850879 | − | 0.119230i | ||||
\(527\) | −22.0769 | + | 16.0398i | −0.961685 | + | 0.698705i | ||||
\(528\) | −8.89573 | − | 9.69621i | −0.387137 | − | 0.421973i | ||||
\(529\) | 5.67491 | − | 17.4656i | 0.246735 | − | 0.759373i | ||||
\(530\) | −0.0472872 | − | 2.39862i | −0.00205403 | − | 0.104189i | ||||
\(531\) | −15.9441 | − | 37.7770i | −0.691913 | − | 1.63938i | ||||
\(532\) | −3.28784 | − | 0.939874i | −0.142546 | − | 0.0407487i | ||||
\(533\) | −6.84712 | + | 2.22477i | −0.296582 | + | 0.0963653i | ||||
\(534\) | 16.4946 | + | 14.6114i | 0.713791 | + | 0.632295i | ||||
\(535\) | 0.106315 | − | 0.679386i | 0.00459641 | − | 0.0293724i | ||||
\(536\) | −3.96220 | − | 18.5293i | −0.171141 | − | 0.800344i | ||||
\(537\) | −20.6910 | + | 31.1912i | −0.892883 | + | 1.34600i | ||||
\(538\) | −14.0972 | + | 14.6100i | −0.607775 | + | 0.629883i | ||||
\(539\) | 10.6084 | − | 7.70744i | 0.456935 | − | 0.331983i | ||||
\(540\) | −0.193272 | − | 23.2371i | −0.00831708 | − | 0.999965i | ||||
\(541\) | 2.54633 | + | 1.85001i | 0.109475 | + | 0.0795383i | 0.641176 | − | 0.767394i | \(-0.278447\pi\) |
−0.531701 | + | 0.846932i | \(0.678447\pi\) | |||||||
\(542\) | −2.11315 | + | 0.373493i | −0.0907675 | + | 0.0160429i | ||||
\(543\) | 1.61988 | + | 37.9952i | 0.0695159 | + | 1.63053i | ||||
\(544\) | 23.7562 | + | 9.54187i | 1.01854 | + | 0.409104i | ||||
\(545\) | 13.9289 | − | 13.9806i | 0.596650 | − | 0.598863i | ||||
\(546\) | 1.42177 | − | 3.26432i | 0.0608460 | − | 0.139700i | ||||
\(547\) | 19.1348 | + | 6.21729i | 0.818147 | + | 0.265832i | 0.688045 | − | 0.725668i | \(-0.258469\pi\) |
0.130103 | + | 0.991501i | \(0.458469\pi\) | |||||||
\(548\) | 12.4674 | + | 34.1674i | 0.532583 | + | 1.45956i | ||||
\(549\) | −28.3305 | + | 2.42008i | −1.20912 | + | 0.103287i | ||||
\(550\) | 9.28949 | − | 9.69900i | 0.396105 | − | 0.413567i | ||||
\(551\) | 37.6983 | 1.60600 | ||||||||
\(552\) | −7.89495 | − | 30.5027i | −0.336031 | − | 1.29828i | ||||
\(553\) | 0.182399 | − | 0.561367i | 0.00775641 | − | 0.0238718i | ||||
\(554\) | −7.98961 | + | 16.3981i | −0.339446 | + | 0.696688i | ||||
\(555\) | 13.5178 | − | 7.66277i | 0.573800 | − | 0.325266i | ||||
\(556\) | 22.1987 | − | 0.793308i | 0.941436 | − | 0.0336438i | ||||
\(557\) | − | 2.68419i | − | 0.113733i | −0.998382 | − | 0.0568664i | \(-0.981889\pi\) | ||
0.998382 | − | 0.0568664i | \(-0.0181109\pi\) | |||||||
\(558\) | 24.7213 | − | 6.58055i | 1.04654 | − | 0.278577i | ||||
\(559\) | 10.3669 | − | 14.2688i | 0.438473 | − | 0.603507i | ||||
\(560\) | 0.632833 | + | 2.69822i | 0.0267421 | + | 0.114020i | ||||
\(561\) | 11.6608 | − | 9.25594i | 0.492320 | − | 0.390786i | ||||
\(562\) | −25.0688 | + | 25.9807i | −1.05746 | + | 1.09593i | ||||
\(563\) | 5.37175 | + | 3.90280i | 0.226392 | + | 0.164483i | 0.695199 | − | 0.718817i | \(-0.255316\pi\) |
−0.468807 | + | 0.883301i | \(0.655316\pi\) | |||||||
\(564\) | 9.40934 | + | 22.7297i | 0.396205 | + | 0.957092i | ||||
\(565\) | 14.3765 | + | 14.3233i | 0.604823 | + | 0.602588i | ||||
\(566\) | 2.60550 | − | 2.70027i | 0.109517 | − | 0.113501i | ||||
\(567\) | 2.46763 | − | 1.29911i | 0.103631 | − | 0.0545574i | ||||
\(568\) | −6.27755 | − | 2.78576i | −0.263400 | − | 0.116888i | ||||
\(569\) | −16.1239 | + | 5.23898i | −0.675950 | + | 0.219629i | −0.626821 | − | 0.779163i | \(-0.715644\pi\) |
−0.0491284 | + | 0.998792i | \(0.515644\pi\) | |||||||
\(570\) | 11.1115 | + | 28.1064i | 0.465408 | + | 1.17725i | ||||
\(571\) | −10.2552 | − | 3.33210i | −0.429165 | − | 0.139444i | 0.0864661 | − | 0.996255i | \(-0.472443\pi\) |
−0.515631 | + | 0.856811i | \(0.672443\pi\) | |||||||
\(572\) | −9.95256 | + | 14.7812i | −0.416137 | + | 0.618035i | ||||
\(573\) | 5.68131 | + | 7.15744i | 0.237340 | + | 0.299006i | ||||
\(574\) | 0.666004 | + | 0.0933241i | 0.0277985 | + | 0.00389527i | ||||
\(575\) | 30.5467 | − | 10.0504i | 1.27388 | − | 0.419131i | ||||
\(576\) | −17.5589 | − | 16.3610i | −0.731623 | − | 0.681710i | ||||
\(577\) | −0.900509 | + | 0.654258i | −0.0374887 | + | 0.0272371i | −0.606372 | − | 0.795181i | \(-0.707376\pi\) |
0.568883 | + | 0.822418i | \(0.307376\pi\) | |||||||
\(578\) | −2.15646 | + | 4.42597i | −0.0896967 | + | 0.184096i | ||||
\(579\) | 4.37089 | + | 1.21698i | 0.181648 | + | 0.0505761i | ||||
\(580\) | −14.8838 | − | 26.6830i | −0.618015 | − | 1.10795i | ||||
\(581\) | 0.755990 | − | 0.245636i | 0.0313638 | − | 0.0101907i | ||||
\(582\) | −2.96698 | + | 30.6150i | −0.122985 | + | 1.26903i | ||||
\(583\) | −1.37038 | + | 0.445265i | −0.0567555 | + | 0.0184410i | ||||
\(584\) | −13.3182 | − | 23.0028i | −0.551111 | − | 0.951864i | ||||
\(585\) | −30.5358 | + | 7.60696i | −1.26250 | + | 0.314509i | ||||
\(586\) | 17.1143 | + | 32.1558i | 0.706986 | + | 1.32834i | ||||
\(587\) | 6.04530 | + | 4.39217i | 0.249516 | + | 0.181284i | 0.705512 | − | 0.708698i | \(-0.250717\pi\) |
−0.455996 | + | 0.889982i | \(0.650717\pi\) | |||||||
\(588\) | 18.1892 | − | 15.5285i | 0.750111 | − | 0.640383i | ||||
\(589\) | −26.9176 | + | 19.5568i | −1.10912 | + | 0.805824i | ||||
\(590\) | 12.5435 | − | 41.3617i | 0.516406 | − | 1.70283i | ||||
\(591\) | 33.1430 | + | 21.9858i | 1.36332 | + | 0.904375i | ||||
\(592\) | 3.85704 | − | 15.5779i | 0.158523 | − | 0.640246i | ||||
\(593\) | 41.8958i | 1.72045i | 0.509912 | + | 0.860226i | \(0.329678\pi\) | ||||
−0.509912 | + | 0.860226i | \(0.670322\pi\) | |||||||
\(594\) | −13.3221 | + | 4.16138i | −0.546611 | + | 0.170744i | ||||
\(595\) | −3.09611 | + | 0.496252i | −0.126928 | + | 0.0203443i | ||||
\(596\) | 17.1769 | + | 11.5656i | 0.703594 | + | 0.473746i | ||||
\(597\) | −3.07737 | + | 11.0526i | −0.125948 | + | 0.452354i | ||||
\(598\) | −37.6657 | + | 20.0469i | −1.54027 | + | 0.819779i | ||||
\(599\) | −30.2844 | −1.23739 | −0.618693 | − | 0.785633i | \(-0.712338\pi\) | ||||
−0.618693 | + | 0.785633i | \(0.712338\pi\) | |||||||
\(600\) | 15.5069 | − | 18.9615i | 0.633065 | − | 0.774099i | ||||
\(601\) | −5.91631 | −0.241331 | −0.120666 | − | 0.992693i | \(-0.538503\pi\) | ||||
−0.120666 | + | 0.992693i | \(0.538503\pi\) | |||||||
\(602\) | −1.45435 | + | 0.774051i | −0.0592748 | + | 0.0315480i | ||||
\(603\) | −19.5732 | − | 4.56112i | −0.797082 | − | 0.185743i | ||||
\(604\) | −32.0320 | − | 21.5679i | −1.30336 | − | 0.877586i | ||||
\(605\) | 14.7427 | + | 7.47745i | 0.599377 | + | 0.304001i | ||||
\(606\) | 4.62661 | + | 20.9305i | 0.187943 | + | 0.850242i | ||||
\(607\) | 6.47572i | 0.262842i | 0.991327 | + | 0.131421i | \(0.0419539\pi\) | ||||
−0.991327 | + | 0.131421i | \(0.958046\pi\) | |||||||
\(608\) | 28.9651 | + | 11.6341i | 1.17469 | + | 0.471824i | ||||
\(609\) | 2.02687 | − | 3.05546i | 0.0821330 | − | 0.123813i | ||||
\(610\) | −24.5902 | − | 17.1356i | −0.995628 | − | 0.693801i | ||||
\(611\) | 26.9516 | − | 19.5815i | 1.09034 | − | 0.792182i | ||||
\(612\) | 19.8819 | − | 18.4943i | 0.803678 | − | 0.747587i | ||||
\(613\) | 14.2311 | + | 10.3395i | 0.574787 | + | 0.417607i | 0.836841 | − | 0.547446i | \(-0.184400\pi\) |
−0.262054 | + | 0.965053i | \(0.584400\pi\) | |||||||
\(614\) | 8.27859 | + | 15.5545i | 0.334097 | + | 0.627727i | ||||
\(615\) | −2.93118 | − | 5.17088i | −0.118197 | − | 0.208510i | ||||
\(616\) | 1.44052 | − | 0.834035i | 0.0580402 | − | 0.0336042i | ||||
\(617\) | 20.9543 | − | 6.80846i | 0.843587 | − | 0.274098i | 0.144830 | − | 0.989457i | \(-0.453737\pi\) |
0.698758 | + | 0.715358i | \(0.253737\pi\) | |||||||
\(618\) | −11.3853 | − | 1.10338i | −0.457985 | − | 0.0443845i | ||||
\(619\) | −19.7409 | + | 6.41419i | −0.793452 | + | 0.257808i | −0.677573 | − | 0.735455i | \(-0.736968\pi\) |
−0.115879 | + | 0.993263i | \(0.536968\pi\) | |||||||
\(620\) | 24.4698 | + | 11.3311i | 0.982730 | + | 0.455069i | ||||
\(621\) | −32.8406 | − | 6.19118i | −1.31785 | − | 0.248444i | ||||
\(622\) | −4.95312 | + | 10.1659i | −0.198602 | + | 0.407616i | ||||
\(623\) | −2.25509 | + | 1.63842i | −0.0903484 | + | 0.0656420i | ||||
\(624\) | −15.9872 | + | 28.2972i | −0.640000 | + | 1.13279i | ||||
\(625\) | 20.3337 | + | 14.5445i | 0.813347 | + | 0.581779i | ||||
\(626\) | 31.3578 | + | 4.39403i | 1.25331 | + | 0.175621i | ||||
\(627\) | 14.2176 | − | 11.2855i | 0.567798 | − | 0.450698i | ||||
\(628\) | 5.62910 | − | 8.36017i | 0.224626 | − | 0.333607i | ||||
\(629\) | 17.2685 | + | 5.61086i | 0.688538 | + | 0.223720i | ||||
\(630\) | 2.87544 | + | 0.610568i | 0.114560 | + | 0.0243256i | ||||
\(631\) | −30.4448 | + | 9.89211i | −1.21199 | + | 0.393799i | −0.844158 | − | 0.536094i | \(-0.819899\pi\) |
−0.367830 | + | 0.929893i | \(0.619899\pi\) | |||||||
\(632\) | −2.18547 | + | 4.92484i | −0.0869334 | + | 0.195900i | ||||
\(633\) | 9.99426 | + | 26.8146i | 0.397236 | + | 1.06579i | ||||
\(634\) | −16.8451 | + | 17.4579i | −0.669006 | + | 0.693341i | ||||
\(635\) | −27.3067 | + | 13.9772i | −1.08363 | + | 0.554667i | ||||
\(636\) | −2.42822 | + | 1.00521i | −0.0962853 | + | 0.0398590i | ||||
\(637\) | −26.2020 | − | 19.0369i | −1.03816 | − | 0.754269i | ||||
\(638\) | −12.7420 | + | 13.2055i | −0.504462 | + | 0.522812i | ||||
\(639\) | −5.50748 | + | 4.76779i | −0.217872 | + | 0.188611i | ||||
\(640\) | −3.20114 | − | 25.0949i | −0.126536 | − | 0.991962i | ||||
\(641\) | −27.9458 | + | 38.4641i | −1.10379 | + | 1.51924i | −0.273535 | + | 0.961862i | \(0.588193\pi\) |
−0.830258 | + | 0.557379i | \(0.811807\pi\) | |||||||
\(642\) | −0.735532 | + | 0.162587i | −0.0290291 | + | 0.00641679i | ||||
\(643\) | − | 39.1531i | − | 1.54405i | −0.635594 | − | 0.772024i | \(-0.719245\pi\) | ||
0.635594 | − | 0.772024i | \(-0.280755\pi\) | |||||||
\(644\) | 3.98314 | − | 0.142344i | 0.156958 | − | 0.00560914i | ||||
\(645\) | 13.2552 | + | 6.02751i | 0.521922 | + | 0.237333i | ||||
\(646\) | −15.4686 | + | 31.7482i | −0.608604 | + | 1.24911i | ||||
\(647\) | 2.07945 | − | 6.39988i | 0.0817515 | − | 0.251605i | −0.901824 | − | 0.432104i | \(-0.857771\pi\) |
0.983575 | + | 0.180499i | \(0.0577713\pi\) | |||||||
\(648\) | −23.6296 | + | 9.46795i | −0.928258 | + | 0.371936i | ||||
\(649\) | −25.9594 | −1.01900 | ||||||||
\(650\) | −29.8736 | − | 14.4187i | −1.17174 | − | 0.565547i | ||||
\(651\) | 0.137842 | + | 3.23316i | 0.00540246 | + | 0.126718i | ||||
\(652\) | −7.21369 | − | 19.7693i | −0.282510 | − | 0.774226i | ||||
\(653\) | −26.7002 | − | 8.67542i | −1.04486 | − | 0.339495i | −0.264210 | − | 0.964465i | \(-0.585111\pi\) |
−0.780649 | + | 0.624970i | \(0.785111\pi\) | |||||||
\(654\) | −19.8203 | − | 8.63266i | −0.775034 | − | 0.337564i | ||||
\(655\) | −3.27714 | + | 0.525268i | −0.128048 | + | 0.0205239i | ||||
\(656\) | −5.95888 | − | 1.47541i | −0.232655 | − | 0.0576049i | ||||
\(657\) | −28.0902 | + | 2.39955i | −1.09590 | + | 0.0936154i | ||||
\(658\) | −3.06439 | + | 0.541623i | −0.119462 | + | 0.0211146i | ||||
\(659\) | 10.1120 | + | 7.34678i | 0.393906 | + | 0.286190i | 0.767054 | − | 0.641582i | \(-0.221722\pi\) |
−0.373148 | + | 0.927772i | \(0.621722\pi\) | |||||||
\(660\) | −13.6012 | − | 5.60767i | −0.529425 | − | 0.218278i | ||||
\(661\) | 18.2915 | − | 13.2896i | 0.711457 | − | 0.516904i | −0.172186 | − | 0.985064i | \(-0.555083\pi\) |
0.883644 | + | 0.468160i | \(0.155083\pi\) | |||||||
\(662\) | 35.1018 | − | 36.3787i | 1.36427 | − | 1.41390i | ||||
\(663\) | −30.6428 | − | 20.3272i | −1.19007 | − | 0.789444i | ||||
\(664\) | −7.09556 | + | 1.51727i | −0.275361 | + | 0.0588816i | ||||
\(665\) | −3.77498 | + | 0.605063i | −0.146387 | + | 0.0234633i | ||||
\(666\) | −13.2108 | − | 10.7339i | −0.511907 | − | 0.415928i | ||||
\(667\) | −41.7892 | + | 13.5781i | −1.61808 | + | 0.525747i | ||||
\(668\) | −9.64550 | − | 2.75730i | −0.373196 | − | 0.106683i | ||||
\(669\) | −12.4127 | − | 33.3033i | −0.479902 | − | 1.28758i | ||||
\(670\) | −12.7875 | − | 16.8900i | −0.494023 | − | 0.652519i | ||||
\(671\) | −5.56271 | + | 17.1202i | −0.214746 | + | 0.660920i | ||||
\(672\) | 2.50027 | − | 1.72211i | 0.0964499 | − | 0.0664320i | ||||
\(673\) | 12.8972 | − | 9.37034i | 0.497149 | − | 0.361200i | −0.310778 | − | 0.950483i | \(-0.600590\pi\) |
0.807927 | + | 0.589283i | \(0.200590\pi\) | |||||||
\(674\) | 6.04346 | + | 0.846843i | 0.232786 | + | 0.0326192i | ||||
\(675\) | −11.1997 | − | 23.4428i | −0.431077 | − | 0.902315i | ||||
\(676\) | 17.3195 | + | 4.95103i | 0.666136 | + | 0.190424i | ||||
\(677\) | −23.1821 | − | 31.9074i | −0.890960 | − | 1.22630i | −0.973263 | − | 0.229694i | \(-0.926228\pi\) |
0.0823033 | − | 0.996607i | \(-0.473772\pi\) | |||||||
\(678\) | 8.87711 | − | 20.3815i | 0.340923 | − | 0.782748i | ||||
\(679\) | −3.70045 | − | 1.20235i | −0.142010 | − | 0.0461420i | ||||
\(680\) | 28.5786 | − | 1.58583i | 1.09594 | − | 0.0608139i | ||||
\(681\) | 19.8092 | − | 7.38322i | 0.759090 | − | 0.282926i | ||||
\(682\) | 2.24751 | − | 16.0393i | 0.0860617 | − | 0.614176i | ||||
\(683\) | 7.28659 | + | 22.4258i | 0.278814 | + | 0.858100i | 0.988185 | + | 0.153265i | \(0.0489789\pi\) |
−0.709371 | + | 0.704835i | \(0.751021\pi\) | |||||||
\(684\) | 24.2413 | − | 22.5495i | 0.926890 | − | 0.862200i | ||||
\(685\) | 28.8069 | + | 28.7005i | 1.10066 | + | 1.09659i | ||||
\(686\) | 2.86257 | + | 5.37842i | 0.109293 | + | 0.205349i | ||||
\(687\) | 3.00887 | − | 4.53580i | 0.114796 | − | 0.173052i | ||||
\(688\) | 13.9345 | − | 5.65635i | 0.531249 | − | 0.215646i | ||||
\(689\) | 2.09190 | + | 2.87925i | 0.0796950 | + | 0.109691i | ||||
\(690\) | −22.4405 | − | 27.1543i | −0.854297 | − | 1.03374i | ||||
\(691\) | 10.9643 | − | 15.0910i | 0.417100 | − | 0.574089i | −0.547832 | − | 0.836588i | \(-0.684547\pi\) |
0.964932 | + | 0.262500i | \(0.0845468\pi\) | |||||||
\(692\) | −24.7653 | + | 0.885028i | −0.941435 | + | 0.0336437i | ||||
\(693\) | −0.150269 | − | 1.75911i | −0.00570823 | − | 0.0668231i | ||||
\(694\) | 3.74983 | + | 21.2158i | 0.142341 | + | 0.805339i | ||||
\(695\) | 22.1070 | − | 11.3157i | 0.838568 | − | 0.429229i | ||||
\(696\) | −21.2842 | + | 25.8301i | −0.806774 | + | 0.979089i | ||||
\(697\) | 2.14628 | − | 6.60557i | 0.0812962 | − | 0.250204i | ||||
\(698\) | −8.38258 | + | 4.46148i | −0.317285 | + | 0.168870i | ||||
\(699\) | −16.1319 | + | 0.687766i | −0.610165 | + | 0.0260137i | ||||
\(700\) | 1.91867 | + | 2.43306i | 0.0725190 | + | 0.0919608i | ||||
\(701\) | − | 22.0139i | − | 0.831452i | −0.909490 | − | 0.415726i | \(-0.863528\pi\) | ||
0.909490 | − | 0.415726i | \(-0.136472\pi\) | |||||||
\(702\) | 19.9434 | + | 28.1180i | 0.752715 | + | 1.06124i | ||||
\(703\) | 21.0548 | + | 6.84113i | 0.794098 | + | 0.258018i | ||||
\(704\) | −13.8656 | + | 6.21400i | −0.522578 | + | 0.234199i | ||||
\(705\) | 20.2934 | + | 18.5647i | 0.764293 | + | 0.699185i | ||||
\(706\) | −18.6653 | + | 3.29903i | −0.702477 | + | 0.124161i | ||||
\(707\) | −2.71158 | −0.101979 | ||||||||
\(708\) | −47.2020 | + | 3.70489i | −1.77396 | + | 0.139238i | ||||
\(709\) | −26.2223 | − | 19.0516i | −0.984798 | − | 0.715498i | −0.0260224 | − | 0.999661i | \(-0.508284\pi\) |
−0.958776 | + | 0.284164i | \(0.908284\pi\) | |||||||
\(710\) | −7.67706 | + | 0.151348i | −0.288115 | + | 0.00568001i | ||||
\(711\) | 3.74041 | + | 4.32071i | 0.140276 | + | 0.162039i | ||||
\(712\) | 22.0199 | − | 12.7491i | 0.825232 | − | 0.477794i | ||||
\(713\) | 22.7947 | − | 31.3742i | 0.853667 | − | 1.17497i | ||||
\(714\) | 1.74152 | + | 2.96069i | 0.0651746 | + | 0.110801i | ||||
\(715\) | −3.08020 | + | 19.6834i | −0.115193 | + | 0.736117i | ||||
\(716\) | 26.6369 | + | 34.0365i | 0.995469 | + | 1.27200i | ||||
\(717\) | 37.2784 | − | 13.8943i | 1.39219 | − | 0.518891i | ||||
\(718\) | 34.3632 | + | 4.81515i | 1.28242 | + | 0.179700i | ||||
\(719\) | −11.1789 | − | 34.4052i | −0.416903 | − | 1.28310i | −0.910538 | − | 0.413426i | \(-0.864332\pi\) |
0.493634 | − | 0.869669i | \(-0.335668\pi\) | |||||||
\(720\) | −25.5314 | − | 8.25528i | −0.951498 | − | 0.307656i | ||||
\(721\) | 0.447138 | − | 1.37615i | 0.0166523 | − | 0.0512505i | ||||
\(722\) | −7.09112 | + | 14.5540i | −0.263904 | + | 0.541644i | ||||
\(723\) | −8.65127 | − | 10.8991i | −0.321744 | − | 0.405340i | ||||
\(724\) | 42.2217 | + | 12.0697i | 1.56916 | + | 0.448565i | ||||
\(725\) | −27.7099 | − | 19.9761i | −1.02912 | − | 0.741895i | ||||
\(726\) | 1.74674 | − | 18.0239i | 0.0648277 | − | 0.668929i | ||||
\(727\) | −9.73296 | − | 13.3963i | −0.360976 | − | 0.496840i | 0.589445 | − | 0.807809i | \(-0.299347\pi\) |
−0.950420 | + | 0.310969i | \(0.899347\pi\) | |||||||
\(728\) | −3.05867 | − | 2.74728i | −0.113362 | − | 0.101821i | ||||
\(729\) | −1.57889 | + | 26.9538i | −0.0584774 | + | 0.998289i | ||||
\(730\) | −24.3816 | − | 16.9902i | −0.902404 | − | 0.628837i | ||||
\(731\) | 5.25793 | + | 16.1822i | 0.194472 | + | 0.598522i | ||||
\(732\) | −7.67129 | + | 31.9237i | −0.283539 | + | 1.17993i | ||||
\(733\) | −2.17150 | − | 6.68320i | −0.0802063 | − | 0.246850i | 0.902911 | − | 0.429829i | \(-0.141426\pi\) |
−0.983117 | + | 0.182979i | \(0.941426\pi\) | |||||||
\(734\) | −30.8113 | + | 31.9321i | −1.13727 | + | 1.17864i | ||||
\(735\) | 11.0684 | − | 24.3406i | 0.408264 | − | 0.897818i | ||||
\(736\) | −36.2986 | − | 2.46395i | −1.33798 | − | 0.0908224i | ||||
\(737\) | −7.47882 | + | 10.2937i | −0.275486 | + | 0.379174i | ||||
\(738\) | −4.10594 | + | 5.05341i | −0.151142 | + | 0.186019i | ||||
\(739\) | 13.1867 | + | 18.1499i | 0.485081 | + | 0.667656i | 0.979471 | − | 0.201584i | \(-0.0646088\pi\) |
−0.494391 | + | 0.869240i | \(0.664609\pi\) | |||||||
\(740\) | −3.47053 | − | 17.6037i | −0.127579 | − | 0.647123i | ||||
\(741\) | −37.3617 | − | 24.7843i | −1.37252 | − | 0.910474i | ||||
\(742\) | −0.0578618 | − | 0.327371i | −0.00212417 | − | 0.0120182i | ||||
\(743\) | −45.8197 | −1.68096 | −0.840480 | − | 0.541842i | \(-0.817727\pi\) | ||||
−0.840480 | + | 0.541842i | \(0.817727\pi\) | |||||||
\(744\) | 1.79755 | − | 29.4850i | 0.0659012 | − | 1.08097i | ||||
\(745\) | 22.8736 | + | 3.57943i | 0.838023 | + | 0.131140i | ||||
\(746\) | −1.96089 | + | 4.02457i | −0.0717932 | + | 0.147350i | ||||
\(747\) | −1.74662 | + | 7.49530i | −0.0639055 | + | 0.274239i | ||||
\(748\) | −5.89282 | − | 16.1494i | −0.215463 | − | 0.590482i | ||||
\(749\) | − | 0.0952894i | − | 0.00348180i | ||||||
\(750\) | 6.72599 | − | 26.5473i | 0.245599 | − | 0.969372i | ||||
\(751\) | 12.7397i | 0.464880i | 0.972611 | + | 0.232440i | \(0.0746709\pi\) | ||||
−0.972611 | + | 0.232440i | \(0.925329\pi\) | |||||||
\(752\) | 28.3335 | − | 2.02768i | 1.03322 | − | 0.0739418i | ||||
\(753\) | −44.8093 | − | 12.4762i | −1.63294 | − | 0.454658i | ||||
\(754\) | 40.7458 | + | 19.8525i | 1.48387 | + | 0.722986i | ||||
\(755\) | −42.6553 | − | 6.67502i | −1.55239 | − | 0.242929i | ||||
\(756\) | −0.524292 | − | 3.17715i | −0.0190683 | − | 0.115552i | ||||
\(757\) | 8.77358 | 0.318881 | 0.159441 | − | 0.987208i | \(-0.449031\pi\) | ||||
0.159441 | + | 0.987208i | \(0.449031\pi\) | |||||||
\(758\) | −24.3795 | + | 4.30901i | −0.885504 | + | 0.156510i | ||||
\(759\) | −11.6957 | + | 17.6310i | −0.424527 | + | 0.639965i | ||||
\(760\) | 34.8450 | − | 1.93355i | 1.26396 | − | 0.0701373i | ||||
\(761\) | 19.8575 | + | 27.3316i | 0.719836 | + | 0.990769i | 0.999529 | + | 0.0306793i | \(0.00976707\pi\) |
−0.279694 | + | 0.960089i | \(0.590233\pi\) | |||||||
\(762\) | 25.1540 | + | 22.2821i | 0.911234 | + | 0.807196i | ||||
\(763\) | 1.60743 | − | 2.21243i | 0.0581928 | − | 0.0800955i | ||||
\(764\) | 9.91255 | − | 3.61702i | 0.358624 | − | 0.130859i | ||||
\(765\) | 11.3782 | − | 28.1460i | 0.411381 | − | 1.01762i | ||||
\(766\) | 21.7105 | + | 20.9485i | 0.784432 | + | 0.756900i | ||||
\(767\) | 19.8136 | + | 60.9799i | 0.715427 | + | 2.20186i | ||||
\(768\) | −24.3249 | + | 13.2778i | −0.877749 | + | 0.479121i | ||||
\(769\) | −5.09067 | − | 15.6675i | −0.183574 | − | 0.564984i | 0.816346 | − | 0.577563i | \(-0.195996\pi\) |
−0.999921 | + | 0.0125785i | \(0.995996\pi\) | |||||||
\(770\) | 1.06399 | − | 1.52686i | 0.0383436 | − | 0.0550244i | ||||
\(771\) | −1.80255 | + | 6.47400i | −0.0649172 | + | 0.233155i | ||||
\(772\) | 2.92610 | − | 4.34576i | 0.105313 | − | 0.156407i | ||||
\(773\) | 8.59165 | + | 11.8254i | 0.309020 | + | 0.425330i | 0.935075 | − | 0.354449i | \(-0.115332\pi\) |
−0.626055 | + | 0.779779i | \(0.715332\pi\) | |||||||
\(774\) | 0.860982 | − | 15.9278i | 0.0309474 | − | 0.572513i | ||||
\(775\) | 30.1487 | − | 0.111618i | 1.08297 | − | 0.00400945i | ||||
\(776\) | 32.4639 | + | 14.4063i | 1.16538 | + | 0.517157i | ||||
\(777\) | 1.68650 | − | 1.33868i | 0.0605028 | − | 0.0480249i | ||||
\(778\) | −9.59525 | − | 4.67508i | −0.344006 | − | 0.167610i | ||||
\(779\) | 2.61689 | − | 8.05395i | 0.0937597 | − | 0.288563i | ||||
\(780\) | −2.79155 | + | 36.2299i | −0.0999535 | + | 1.29724i | ||||
\(781\) | 1.42512 | + | 4.38608i | 0.0509950 | + | 0.156946i | ||||
\(782\) | 5.71218 | − | 40.7648i | 0.204267 | − | 1.45775i | ||||
\(783\) | 15.1845 | + | 32.0885i | 0.542648 | + | 1.14675i | ||||
\(784\) | −10.3868 | − | 25.5882i | −0.370958 | − | 0.913863i | ||||
\(785\) | 1.74214 | − | 11.1328i | 0.0621797 | − | 0.397346i | ||||
\(786\) | 1.84335 | + | 3.13381i | 0.0657500 | + | 0.111779i | ||||
\(787\) | 21.4329 | − | 29.4999i | 0.764002 | − | 1.05156i | −0.232869 | − | 0.972508i | \(-0.574811\pi\) |
0.996871 | − | 0.0790499i | \(-0.0251887\pi\) | |||||||
\(788\) | 36.1664 | − | 28.3038i | 1.28838 | − | 1.00828i | ||||
\(789\) | 15.0044 | + | 18.9028i | 0.534170 | + | 0.672959i | ||||
\(790\) | 0.118735 | + | 6.02278i | 0.00422442 | + | 0.214281i | ||||
\(791\) | 2.27508 | + | 1.65294i | 0.0808926 | + | 0.0587719i | ||||
\(792\) | −0.294605 | + | 16.1133i | −0.0104683 | + | 0.572562i | ||||
\(793\) | 44.4621 | 1.57889 | ||||||||
\(794\) | −6.67051 | − | 37.7404i | −0.236727 | − | 1.33936i | ||||
\(795\) | −1.98327 | + | 2.16795i | −0.0703394 | + | 0.0768894i | ||||
\(796\) | 10.9891 | + | 7.39919i | 0.389497 | + | 0.262257i | ||||
\(797\) | 36.5460 | + | 11.8745i | 1.29452 | + | 0.420617i | 0.873673 | − | 0.486513i | \(-0.161731\pi\) |
0.420852 | + | 0.907130i | \(0.361731\pi\) | |||||||
\(798\) | 2.12337 | + | 3.60987i | 0.0751666 | + | 0.127788i | ||||
\(799\) | 32.1387i | 1.13699i | ||||||||
\(800\) | −15.1258 | − | 23.9000i | −0.534778 | − | 0.844993i | ||||
\(801\) | −2.29702 | − | 26.8899i | −0.0811612 | − | 0.950109i | ||||
\(802\) | 10.2522 | + | 19.2626i | 0.362017 | + | 0.680187i | ||||
\(803\) | −5.51552 | + | 16.9750i | −0.194638 | + | 0.599035i | ||||
\(804\) | −12.1296 | + | 19.7844i | −0.427779 | + | 0.697743i | ||||
\(805\) | 3.96669 | − | 2.03039i | 0.139807 | − | 0.0715618i | ||||
\(806\) | −39.3925 | + | 6.96251i | −1.38754 | + | 0.245244i | ||||
\(807\) | 24.8426 | − | 1.05914i | 0.874501 | − | 0.0372834i | ||||
\(808\) | 24.6194 | + | 2.55718i | 0.866107 | + | 0.0899613i | ||||
\(809\) | −7.99200 | + | 11.0000i | −0.280984 | + | 0.386741i | −0.926059 | − | 0.377378i | \(-0.876826\pi\) |
0.645076 | + | 0.764119i | \(0.276826\pi\) | |||||||
\(810\) | −19.4483 | + | 20.7789i | −0.683344 | + | 0.730096i | ||||
\(811\) | −8.66202 | − | 11.9222i | −0.304164 | − | 0.418647i | 0.629386 | − | 0.777093i | \(-0.283307\pi\) |
−0.933550 | + | 0.358446i | \(0.883307\pi\) | |||||||
\(812\) | −2.60933 | − | 3.33418i | −0.0915694 | − | 0.117007i | ||||
\(813\) | 2.19012 | + | 1.45284i | 0.0768107 | + | 0.0509532i | ||||
\(814\) | −9.51294 | + | 5.06309i | −0.333429 | + | 0.177461i | ||||
\(815\) | −16.6678 | − | 16.6062i | −0.583846 | − | 0.581689i | ||||
\(816\) | −13.0197 | − | 28.5235i | −0.455782 | − | 0.998523i | ||||
\(817\) | 6.41082 | + | 19.7305i | 0.224286 | + | 0.690282i | ||||
\(818\) | 40.8551 | + | 5.72484i | 1.42846 | + | 0.200164i | ||||
\(819\) | −4.01755 | + | 1.69563i | −0.140384 | + | 0.0592503i | ||||
\(820\) | −6.73379 | + | 1.32756i | −0.235154 | + | 0.0463603i | ||||
\(821\) | 10.5257 | + | 3.41999i | 0.367348 | + | 0.119359i | 0.486873 | − | 0.873473i | \(-0.338137\pi\) |
−0.119525 | + | 0.992831i | \(0.538137\pi\) | |||||||
\(822\) | 17.7876 | − | 40.8396i | 0.620412 | − | 1.42444i | ||||
\(823\) | −5.33155 | − | 7.33825i | −0.185846 | − | 0.255795i | 0.705920 | − | 0.708291i | \(-0.250534\pi\) |
−0.891766 | + | 0.452496i | \(0.850534\pi\) | |||||||
\(824\) | −5.35752 | + | 12.0729i | −0.186638 | + | 0.420579i | ||||
\(825\) | −16.4307 | + | 0.761455i | −0.572043 | + | 0.0265105i | ||||
\(826\) | 0.831137 | − | 5.93138i | 0.0289190 | − | 0.206379i | ||||
\(827\) | −26.1938 | + | 19.0309i | −0.910848 | + | 0.661770i | −0.941229 | − | 0.337769i | \(-0.890328\pi\) |
0.0303815 | + | 0.999538i | \(0.490328\pi\) | |||||||
\(828\) | −18.7500 | + | 33.7276i | −0.651609 | + | 1.17212i | ||||
\(829\) | 3.91174 | − | 12.0391i | 0.135860 | − | 0.418135i | −0.859863 | − | 0.510526i | \(-0.829451\pi\) |
0.995723 | + | 0.0923906i | \(0.0294509\pi\) | |||||||
\(830\) | −6.46782 | + | 4.89679i | −0.224501 | + | 0.169970i | ||||
\(831\) | 20.9337 | − | 7.80234i | 0.726182 | − | 0.270660i | ||||
\(832\) | 25.1799 | + | 27.8280i | 0.872956 | + | 0.964763i | ||||
\(833\) | 29.7157 | − | 9.65521i | 1.02959 | − | 0.334533i | ||||
\(834\) | −20.3643 | − | 18.0393i | −0.705158 | − | 0.624648i | ||||
\(835\) | −11.0746 | + | 1.77507i | −0.383253 | + | 0.0614288i | ||||
\(836\) | −7.18492 | − | 19.6905i | −0.248496 | − | 0.681009i | ||||
\(837\) | −27.4887 | − | 15.0348i | −0.950147 | − | 0.519678i | ||||
\(838\) | −29.3079 | − | 28.2793i | −1.01243 | − | 0.976891i | ||||
\(839\) | −14.5164 | + | 10.5468i | −0.501162 | + | 0.364115i | −0.809461 | − | 0.587174i | \(-0.800240\pi\) |
0.308299 | + | 0.951290i | \(0.400240\pi\) | |||||||
\(840\) | 1.71674 | − | 2.92815i | 0.0592333 | − | 0.101031i | ||||
\(841\) | 14.2998 | + | 10.3894i | 0.493095 | + | 0.358255i | ||||
\(842\) | 5.59621 | + | 31.6623i | 0.192858 | + | 1.09115i | ||||
\(843\) | 44.1771 | − | 1.88344i | 1.52154 | − | 0.0648692i | ||||
\(844\) | 33.0225 | − | 1.18011i | 1.13668 | − | 0.0406212i | ||||
\(845\) | 19.8857 | − | 3.18733i | 0.684088 | − | 0.109647i | ||||
\(846\) | 10.8435 | − | 28.1101i | 0.372807 | − | 0.966447i | ||||
\(847\) | 2.17856 | + | 0.707856i | 0.0748561 | + | 0.0243222i | ||||
\(848\) | 0.216618 | + | 3.02688i | 0.00743869 | + | 0.103944i | ||||
\(849\) | −4.59149 | + | 0.195753i | −0.157580 | + | 0.00671823i | ||||
\(850\) | 28.1933 | − | 15.1396i | 0.967021 | − | 0.519283i | ||||
\(851\) | −25.8037 | −0.884538 | ||||||||
\(852\) | 3.21728 | + | 7.77182i | 0.110222 | + | 0.266258i | ||||
\(853\) | −10.0268 | + | 30.8594i | −0.343312 | + | 1.05661i | 0.619169 | + | 0.785258i | \(0.287470\pi\) |
−0.962481 | + | 0.271349i | \(0.912530\pi\) | |||||||
\(854\) | −3.73365 | − | 1.81914i | −0.127763 | − | 0.0622497i | ||||
\(855\) | 13.8731 | − | 34.3174i | 0.474450 | − | 1.17363i | ||||
\(856\) | −0.0898636 | + | 0.865166i | −0.00307148 | + | 0.0295708i | ||||
\(857\) | − | 43.8230i | − | 1.49696i | −0.663155 | − | 0.748482i | \(-0.730783\pi\) | ||
0.663155 | − | 0.748482i | \(-0.269217\pi\) | |||||||
\(858\) | 21.3101 | − | 4.71052i | 0.727514 | − | 0.160814i | ||||
\(859\) | −8.76835 | + | 12.0686i | −0.299172 | + | 0.411775i | −0.931966 | − | 0.362545i | \(-0.881908\pi\) |
0.632794 | + | 0.774320i | \(0.281908\pi\) | |||||||
\(860\) | 11.4342 | − | 12.3274i | 0.389904 | − | 0.420362i | ||||
\(861\) | −0.512076 | − | 0.645124i | −0.0174515 | − | 0.0219858i | ||||
\(862\) | −16.4266 | − | 15.8501i | −0.559492 | − | 0.539855i | ||||
\(863\) | −23.2931 | − | 16.9234i | −0.792905 | − | 0.576079i | 0.115919 | − | 0.993259i | \(-0.463019\pi\) |
−0.908824 | + | 0.417180i | \(0.863019\pi\) | |||||||
\(864\) | 1.76399 | + | 29.3409i | 0.0600121 | + | 0.998198i | ||||
\(865\) | −24.6630 | + | 12.6240i | −0.838567 | + | 0.429228i | ||||
\(866\) | 12.9677 | + | 12.5126i | 0.440662 | + | 0.425195i | ||||
\(867\) | 5.65016 | − | 2.10591i | 0.191890 | − | 0.0715205i | ||||
\(868\) | 3.59281 | + | 1.02705i | 0.121948 | + | 0.0348605i | ||||
\(869\) | 3.44095 | − | 1.11803i | 0.116726 | − | 0.0379267i | ||||
\(870\) | −9.32456 | + | 36.2397i | −0.316132 | + | 1.22864i | ||||
\(871\) | 29.8887 | + | 9.71141i | 1.01274 | + | 0.329059i | ||||
\(872\) | −16.6809 | + | 18.5716i | −0.564885 | + | 0.628913i | ||||
\(873\) | 28.4815 | − | 24.6562i | 0.963952 | − | 0.834487i | ||||
\(874\) | 6.96467 | − | 49.7031i | 0.235583 | − | 1.68123i | ||||
\(875\) | 3.09539 | + | 1.55559i | 0.104643 | + | 0.0525886i | ||||
\(876\) | −7.60622 | + | 31.6528i | −0.256990 | + | 1.06945i | ||||
\(877\) | −32.0411 | + | 23.2792i | −1.08195 | + | 0.786084i | −0.978022 | − | 0.208500i | \(-0.933142\pi\) |
−0.103930 | + | 0.994585i | \(0.533142\pi\) | |||||||
\(878\) | 0.0214707 | + | 0.0104612i | 0.000724603 | + | 0.000353047i | ||||
\(879\) | 11.9664 | − | 42.9784i | 0.403618 | − | 1.44963i | ||||
\(880\) | −11.1003 | + | 12.8595i | −0.374190 | + | 0.433495i | ||||
\(881\) | 24.6902 | − | 8.02233i | 0.831834 | − | 0.270279i | 0.138016 | − | 0.990430i | \(-0.455927\pi\) |
0.693818 | + | 0.720151i | \(0.255927\pi\) | |||||||
\(882\) | −29.2484 | − | 1.58103i | −0.984846 | − | 0.0532362i | ||||
\(883\) | −13.9447 | + | 4.53091i | −0.469277 | + | 0.152477i | −0.534103 | − | 0.845419i | \(-0.679351\pi\) |
0.0648264 | + | 0.997897i | \(0.479351\pi\) | |||||||
\(884\) | −33.4381 | + | 26.1686i | −1.12465 | + | 0.880146i | ||||
\(885\) | −46.0514 | + | 26.1049i | −1.54800 | + | 0.877505i | ||||
\(886\) | −16.6521 | + | 8.86277i | −0.559437 | + | 0.297751i | ||||
\(887\) | 9.03957 | + | 6.56763i | 0.303519 | + | 0.220519i | 0.729111 | − | 0.684396i | \(-0.239934\pi\) |
−0.425592 | + | 0.904915i | \(0.639934\pi\) | |||||||
\(888\) | −16.5748 | + | 10.5639i | −0.556214 | + | 0.354501i | ||||
\(889\) | −3.43899 | + | 2.49857i | −0.115340 | + | 0.0837994i | ||||
\(890\) | 16.2643 | − | 23.3398i | 0.545179 | − | 0.782352i | ||||
\(891\) | 15.3328 | + | 7.55628i | 0.513667 | + | 0.253145i | ||||
\(892\) | −41.0134 | + | 1.46568i | −1.37323 | + | 0.0490746i | ||||
\(893\) | 39.1857i | 1.31130i | ||||||||
\(894\) | −5.47398 | − | 24.7639i | −0.183077 | − | 0.828229i | ||||
\(895\) | 43.0957 | + | 21.8580i | 1.44053 | + | 0.730632i | ||||
\(896\) | −0.975886 | − | 3.36705i | −0.0326021 | − | 0.112485i | ||||
\(897\) | 50.3428 | + | 14.0169i | 1.68090 | + | 0.468011i | ||||
\(898\) | 22.6599 | + | 42.5751i | 0.756169 | + | 1.42075i | ||||
\(899\) | −41.1951 | −1.37393 | ||||||||
\(900\) | −29.7673 | + | 3.72952i | −0.992243 | + | 0.124317i | ||||
\(901\) | −3.43340 | −0.114383 | ||||||||
\(902\) | 1.93675 | + | 3.63891i | 0.0644866 | + | 0.121163i | ||||
\(903\) | 1.94384 | + | 0.541221i | 0.0646869 | + | 0.0180107i | ||||
\(904\) | −19.0975 | − | 17.1532i | −0.635172 | − | 0.570508i | ||||
\(905\) | 48.4774 | − | 7.77009i | 1.61144 | − | 0.258286i | ||||
\(906\) | 10.2080 | + | 46.1804i | 0.339139 | + | 1.53424i | ||||
\(907\) | − | 17.1714i | − | 0.570166i | −0.958503 | − | 0.285083i | \(-0.907979\pi\) | ||
0.958503 | − | 0.285083i | \(-0.0920212\pi\) | |||||||
\(908\) | −0.871804 | − | 24.3952i | −0.0289318 | − | 0.809585i | ||||
\(909\) | 13.5675 | − | 22.4757i | 0.450007 | − | 0.745471i | ||||
\(910\) | −4.39877 | − | 1.33398i | −0.145818 | − | 0.0442211i | ||||
\(911\) | 17.8851 | − | 12.9943i | 0.592561 | − | 0.430521i | −0.250670 | − | 0.968073i | \(-0.580651\pi\) |
0.843231 | + | 0.537552i | \(0.180651\pi\) | |||||||
\(912\) | −15.8745 | − | 34.7778i | −0.525658 | − | 1.15161i | ||||
\(913\) | 3.94184 | + | 2.86392i | 0.130456 | + | 0.0947818i | ||||
\(914\) | 39.5017 | − | 21.0241i | 1.30660 | − | 0.695415i | ||||
\(915\) | 7.34806 | + | 35.9648i | 0.242919 | + | 1.18896i | ||||
\(916\) | −3.87353 | − | 4.94957i | −0.127985 | − | 0.163538i | ||||
\(917\) | −0.437405 | + | 0.142122i | −0.0144444 | + | 0.00469327i | ||||
\(918\) | −33.2543 | − | 0.378938i | −1.09756 | − | 0.0125068i | ||||
\(919\) | 38.5896 | − | 12.5385i | 1.27295 | − | 0.413608i | 0.406861 | − | 0.913490i | \(-0.366623\pi\) |
0.866093 | + | 0.499882i | \(0.166623\pi\) | |||||||
\(920\) | −37.9298 | + | 14.6938i | −1.25051 | + | 0.484440i | ||||
\(921\) | 5.78844 | − | 20.7896i | 0.190735 | − | 0.685042i | ||||
\(922\) | −15.3565 | − | 7.48213i | −0.505740 | − | 0.246411i | ||||
\(923\) | 9.21539 | − | 6.69537i | 0.303328 | − | 0.220381i | ||||
\(924\) | −1.98222 | − | 0.476329i | −0.0652101 | − | 0.0156701i | ||||
\(925\) | −11.8512 | − | 16.1854i | −0.389664 | − | 0.532172i | ||||
\(926\) | −6.86266 | + | 48.9752i | −0.225521 | + | 1.60942i | ||||
\(927\) | 9.16933 | + | 10.5919i | 0.301160 | + | 0.347883i | ||||
\(928\) | 20.5467 | + | 32.7330i | 0.674478 | + | 1.07451i | ||||
\(929\) | −42.0578 | − | 13.6654i | −1.37987 | − | 0.448347i | −0.477243 | − | 0.878771i | \(-0.658364\pi\) |
−0.902627 | + | 0.430424i | \(0.858364\pi\) | |||||||
\(930\) | −12.1421 | − | 30.7134i | −0.398156 | − | 1.00713i | ||||
\(931\) | 36.2313 | − | 11.7723i | 1.18743 | − | 0.385821i | ||||
\(932\) | −5.12450 | + | 17.9264i | −0.167859 | + | 0.587198i | ||||
\(933\) | 12.9777 | − | 4.83702i | 0.424872 | − | 0.158357i | ||||
\(934\) | 12.6142 | + | 12.1715i | 0.412750 | + | 0.398263i | ||||
\(935\) | −13.6158 | − | 13.5655i | −0.445284 | − | 0.443638i | ||||
\(936\) | 38.0758 | − | 11.6065i | 1.24455 | − | 0.379370i | ||||
\(937\) | 22.1347 | + | 16.0818i | 0.723109 | + | 0.525370i | 0.887376 | − | 0.461046i | \(-0.152526\pi\) |
−0.164267 | + | 0.986416i | \(0.552526\pi\) | |||||||
\(938\) | −2.11253 | − | 2.03838i | −0.0689765 | − | 0.0665555i | ||||
\(939\) | −24.1103 | − | 30.3747i | −0.786811 | − | 0.991241i | ||||
\(940\) | 27.7358 | − | 15.4710i | 0.904641 | − | 0.504608i | ||||
\(941\) | 3.51780 | − | 4.84184i | 0.114677 | − | 0.157839i | −0.747820 | − | 0.663902i | \(-0.768899\pi\) |
0.862497 | + | 0.506062i | \(0.168899\pi\) | |||||||
\(942\) | −12.0528 | + | 2.66424i | −0.392703 | + | 0.0868056i | ||||
\(943\) | 9.87048i | 0.321427i | ||||||||
\(944\) | −13.1398 | + | 53.0693i | −0.427665 | + | 1.72726i | ||||
\(945\) | −2.03554 | − | 2.96951i | −0.0662162 | − | 0.0965983i | ||||
\(946\) | −9.07833 | − | 4.42322i | −0.295162 | − | 0.143811i | ||||
\(947\) | 14.6379 | − | 45.0508i | 0.475667 | − | 1.46395i | −0.369388 | − | 0.929275i | \(-0.620433\pi\) |
0.845055 | − | 0.534679i | \(-0.179567\pi\) | |||||||
\(948\) | 6.09712 | − | 2.52401i | 0.198025 | − | 0.0819760i | ||||
\(949\) | 44.0849 | 1.43106 | ||||||||
\(950\) | 34.3751 | − | 18.4592i | 1.11528 | − | 0.598895i | ||||
\(951\) | 29.6851 | − | 1.26559i | 0.962604 | − | 0.0410396i | ||||
\(952\) | 3.87860 | − | 0.829378i | 0.125706 | − | 0.0268803i | ||||
\(953\) | 6.80158 | + | 2.20997i | 0.220325 | + | 0.0715879i | 0.417099 | − | 0.908861i | \(-0.363047\pi\) |
−0.196775 | + | 0.980449i | \(0.563047\pi\) | |||||||
\(954\) | 3.00302 | + | 1.15842i | 0.0972264 | + | 0.0375051i | ||||
\(955\) | 8.32652 | − | 8.35740i | 0.269440 | − | 0.270439i | ||||
\(956\) | −1.64062 | − | 45.9087i | −0.0530616 | − | 1.48479i | ||||
\(957\) | 22.4544 | − | 0.957319i | 0.725848 | − | 0.0309457i | ||||
\(958\) | −0.256520 | − | 1.45134i | −0.00828780 | − | 0.0468907i | ||||
\(959\) | 4.55871 | + | 3.31210i | 0.147208 | + | 0.106953i | ||||
\(960\) | −18.3484 | + | 24.9667i | −0.592191 | + | 0.805798i | ||||
\(961\) | 4.33488 | − | 3.14947i | 0.139835 | − | 0.101596i | ||||
\(962\) | 19.1542 | + | 18.4820i | 0.617557 | + | 0.595882i | ||||
\(963\) | 0.789833 | + | 0.476786i | 0.0254520 | + | 0.0153642i | ||||
\(964\) | −15.0944 | + | 5.50786i | −0.486159 | + | 0.177396i | ||||
\(965\) | 0.905594 | − | 5.78701i | 0.0291521 | − | 0.186290i | ||||
\(966\) | −3.65399 | − | 3.23680i | −0.117565 | − | 0.104142i | ||||
\(967\) | 4.85611 | − | 1.57785i | 0.156162 | − | 0.0507401i | −0.229893 | − | 0.973216i | \(-0.573838\pi\) |
0.386055 | + | 0.922476i | \(0.373838\pi\) | |||||||
\(968\) | −19.1123 | − | 8.48139i | −0.614294 | − | 0.272602i | ||||
\(969\) | 40.5295 | − | 15.1060i | 1.30200 | − | 0.485276i | ||||
\(970\) | 39.7013 | − | 0.782687i | 1.27473 | − | 0.0251306i | ||||
\(971\) | 8.02856 | − | 24.7094i | 0.257649 | − | 0.792961i | −0.735647 | − | 0.677365i | \(-0.763122\pi\) |
0.993296 | − | 0.115597i | \(-0.0368780\pi\) | |||||||
\(972\) | 28.9580 | + | 11.5513i | 0.928829 | + | 0.370509i | ||||
\(973\) | 2.78415 | − | 2.02280i | 0.0892557 | − | 0.0648481i | ||||
\(974\) | 5.21163 | − | 37.1926i | 0.166991 | − | 1.19173i | ||||
\(975\) | 14.3295 | + | 38.0153i | 0.458910 | + | 1.21747i | ||||
\(976\) | 32.1836 | + | 20.0377i | 1.03017 | + | 0.641391i | ||||
\(977\) | −7.53705 | − | 10.3739i | −0.241131 | − | 0.331889i | 0.671249 | − | 0.741232i | \(-0.265758\pi\) |
−0.912381 | + | 0.409343i | \(0.865758\pi\) | |||||||
\(978\) | −10.2919 | + | 23.6299i | −0.329100 | + | 0.755600i | ||||
\(979\) | −16.2497 | − | 5.27984i | −0.519342 | − | 0.168745i | ||||
\(980\) | −22.6370 | − | 20.9968i | −0.723113 | − | 0.670719i | ||||
\(981\) | 10.2955 | + | 24.3937i | 0.328711 | + | 0.778830i | ||||
\(982\) | 44.8078 | + | 6.27872i | 1.42988 | + | 0.200362i | ||||
\(983\) | −18.4095 | − | 56.6587i | −0.587173 | − | 1.80713i | −0.590364 | − | 0.807137i | \(-0.701016\pi\) |
0.00319176 | − | 0.999995i | \(-0.498984\pi\) | |||||||
\(984\) | 4.04093 | + | 6.34023i | 0.128820 | + | 0.202119i | ||||
\(985\) | 23.2258 | − | 45.7925i | 0.740035 | − | 1.45907i | ||||
\(986\) | −38.5993 | + | 20.5438i | −1.22925 | + | 0.654247i | ||||
\(987\) | 3.17601 | + | 2.10684i | 0.101093 | + | 0.0670614i | ||||
\(988\) | −40.7700 | + | 31.9065i | −1.29707 | + | 1.01508i | ||||
\(989\) | −14.2130 | − | 19.5625i | −0.451947 | − | 0.622051i | ||||
\(990\) | 7.33211 | + | 16.4590i | 0.233030 | + | 0.523100i | ||||
\(991\) | 4.61149 | − | 6.34717i | 0.146489 | − | 0.201625i | −0.729467 | − | 0.684016i | \(-0.760232\pi\) |
0.875956 | + | 0.482392i | \(0.160232\pi\) | |||||||
\(992\) | −31.6518 | − | 12.7132i | −1.00495 | − | 0.403645i | ||||
\(993\) | −61.8576 | + | 2.63723i | −1.96299 | + | 0.0836900i | ||||
\(994\) | −1.04779 | + | 0.185194i | −0.0332339 | + | 0.00587399i | ||||
\(995\) | 14.6335 | + | 2.28996i | 0.463914 | + | 0.0725968i | ||||
\(996\) | 7.57619 | + | 4.64488i | 0.240061 | + | 0.147179i | ||||
\(997\) | −6.23739 | + | 19.1967i | −0.197540 | + | 0.607966i | 0.802398 | + | 0.596790i | \(0.203557\pi\) |
−0.999938 | + | 0.0111757i | \(0.996443\pi\) | |||||||
\(998\) | 14.6384 | + | 27.5039i | 0.463372 | + | 0.870620i | ||||
\(999\) | 2.65754 | + | 20.6772i | 0.0840808 | + | 0.654198i |
(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 | 300.2.n.a.11.9 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.11.48 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.11.43 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.11.14 | yes | 224 | |
25.16 | even | 5 | inner | 300.2.n.a.191.14 | yes | 224 | |
75.41 | odd | 10 | inner | 300.2.n.a.191.43 | yes | 224 | |
100.91 | odd | 10 | inner | 300.2.n.a.191.48 | yes | 224 | |
300.191 | even | 10 | inner | 300.2.n.a.191.9 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.11.9 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.11.14 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.11.43 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.11.48 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.191.9 | yes | 224 | 300.191 | even | 10 | inner | |
300.2.n.a.191.14 | yes | 224 | 25.16 | even | 5 | inner | |
300.2.n.a.191.43 | yes | 224 | 75.41 | odd | 10 | inner | |
300.2.n.a.191.48 | yes | 224 | 100.91 | odd | 10 | inner |