Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(4,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.t (of order \(30\), degree \(8\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 109.13 | ||
Character | \(\chi\) | \(=\) | 175.109 |
Dual form | 175.2.t.a.114.13 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.46946 | + | 0.154447i | 1.03907 | + | 0.109210i | 0.608666 | − | 0.793427i | \(-0.291705\pi\) |
0.430402 | + | 0.902637i | \(0.358372\pi\) | |||||||
\(3\) | 0.0450101 | − | 0.211756i | 0.0259866 | − | 0.122257i | −0.963242 | − | 0.268634i | \(-0.913428\pi\) |
0.989229 | + | 0.146377i | \(0.0467611\pi\) | |||||||
\(4\) | 0.179176 | + | 0.0380851i | 0.0895880 | + | 0.0190425i | ||||
\(5\) | 0.796997 | − | 2.08921i | 0.356428 | − | 0.934323i | ||||
\(6\) | 0.0988458 | − | 0.304216i | 0.0403536 | − | 0.124196i | ||||
\(7\) | 2.55064 | − | 0.703027i | 0.964050 | − | 0.265719i | ||||
\(8\) | −2.55307 | − | 0.829544i | −0.902647 | − | 0.293288i | ||||
\(9\) | 2.69782 | + | 1.20115i | 0.899274 | + | 0.400383i | ||||
\(10\) | 1.49383 | − | 2.94692i | 0.472391 | − | 0.931899i | ||||
\(11\) | −5.12740 | + | 2.28287i | −1.54597 | + | 0.688310i | −0.989761 | − | 0.142732i | \(-0.954411\pi\) |
−0.556209 | + | 0.831043i | \(0.687745\pi\) | |||||||
\(12\) | 0.0161295 | − | 0.0362274i | 0.00465618 | − | 0.0104579i | ||||
\(13\) | 2.43682 | + | 3.35400i | 0.675854 | + | 0.930233i | 0.999875 | − | 0.0158171i | \(-0.00503496\pi\) |
−0.324021 | + | 0.946050i | \(0.605035\pi\) | |||||||
\(14\) | 3.85665 | − | 0.639135i | 1.03073 | − | 0.170816i | ||||
\(15\) | −0.406529 | − | 0.262804i | −0.104965 | − | 0.0678558i | ||||
\(16\) | −3.95821 | − | 1.76231i | −0.989553 | − | 0.440577i | ||||
\(17\) | −1.54544 | + | 1.39152i | −0.374825 | + | 0.337494i | −0.834915 | − | 0.550378i | \(-0.814483\pi\) |
0.460091 | + | 0.887872i | \(0.347817\pi\) | |||||||
\(18\) | 3.77884 | + | 2.18171i | 0.890681 | + | 0.514235i | ||||
\(19\) | 1.18938 | − | 0.252810i | 0.272862 | − | 0.0579986i | −0.0694484 | − | 0.997586i | \(-0.522124\pi\) |
0.342310 | + | 0.939587i | \(0.388791\pi\) | |||||||
\(20\) | 0.222371 | − | 0.343983i | 0.0497236 | − | 0.0769169i | ||||
\(21\) | −0.0340657 | − | 0.571756i | −0.00743374 | − | 0.124767i | ||||
\(22\) | −7.88712 | + | 2.56268i | −1.68154 | + | 0.546365i | ||||
\(23\) | −5.39196 | − | 0.566717i | −1.12430 | − | 0.118169i | −0.475923 | − | 0.879487i | \(-0.657886\pi\) |
−0.648378 | + | 0.761318i | \(0.724552\pi\) | |||||||
\(24\) | −0.290575 | + | 0.503290i | −0.0593133 | + | 0.102734i | ||||
\(25\) | −3.72959 | − | 3.33019i | −0.745918 | − | 0.666038i | ||||
\(26\) | 3.06281 | + | 5.30495i | 0.600667 | + | 1.04039i | ||||
\(27\) | 0.757522 | − | 1.04264i | 0.145785 | − | 0.200656i | ||||
\(28\) | 0.483788 | − | 0.0288245i | 0.0914274 | − | 0.00544731i | ||||
\(29\) | 0.466053 | + | 1.43436i | 0.0865438 | + | 0.266355i | 0.984958 | − | 0.172795i | \(-0.0552798\pi\) |
−0.898414 | + | 0.439150i | \(0.855280\pi\) | |||||||
\(30\) | −0.556791 | − | 0.448969i | −0.101656 | − | 0.0819702i | ||||
\(31\) | −1.46756 | − | 1.62989i | −0.263581 | − | 0.292736i | 0.596798 | − | 0.802392i | \(-0.296439\pi\) |
−0.860378 | + | 0.509656i | \(0.829773\pi\) | |||||||
\(32\) | −0.894649 | − | 0.516526i | −0.158153 | − | 0.0913098i | ||||
\(33\) | 0.252626 | + | 1.18851i | 0.0439765 | + | 0.206893i | ||||
\(34\) | −2.48589 | + | 1.80610i | −0.426326 | + | 0.309744i | ||||
\(35\) | 0.564081 | − | 5.88913i | 0.0953471 | − | 0.995444i | ||||
\(36\) | 0.437639 | + | 0.317964i | 0.0729399 | + | 0.0529939i | ||||
\(37\) | −0.927175 | + | 2.08247i | −0.152427 | + | 0.342356i | −0.973578 | − | 0.228355i | \(-0.926665\pi\) |
0.821151 | + | 0.570710i | \(0.193332\pi\) | |||||||
\(38\) | 1.78679 | − | 0.187800i | 0.289856 | − | 0.0304651i | ||||
\(39\) | 0.819911 | − | 0.365048i | 0.131291 | − | 0.0584545i | ||||
\(40\) | −3.76788 | + | 4.67276i | −0.595754 | + | 0.738828i | ||||
\(41\) | 0.645691 | − | 0.469122i | 0.100840 | − | 0.0732645i | −0.536223 | − | 0.844077i | \(-0.680149\pi\) |
0.637063 | + | 0.770812i | \(0.280149\pi\) | |||||||
\(42\) | 0.0382477 | − | 0.845436i | 0.00590174 | − | 0.130454i | ||||
\(43\) | − | 4.15020i | − | 0.632899i | −0.948609 | − | 0.316449i | \(-0.897509\pi\) | ||
0.948609 | − | 0.316449i | \(-0.102491\pi\) | |||||||
\(44\) | −1.00565 | + | 0.213758i | −0.151608 | + | 0.0322252i | ||||
\(45\) | 4.65961 | − | 4.67900i | 0.694613 | − | 0.697504i | ||||
\(46\) | −7.83576 | − | 1.66554i | −1.15532 | − | 0.245571i | ||||
\(47\) | 9.01773 | + | 8.11960i | 1.31537 | + | 1.18437i | 0.969223 | + | 0.246186i | \(0.0791773\pi\) |
0.346148 | + | 0.938180i | \(0.387489\pi\) | |||||||
\(48\) | −0.551339 | + | 0.758853i | −0.0795790 | + | 0.109531i | ||||
\(49\) | 6.01151 | − | 3.58633i | 0.858787 | − | 0.512334i | ||||
\(50\) | −4.96616 | − | 5.46962i | −0.702321 | − | 0.773521i | ||||
\(51\) | 0.225102 | + | 0.389889i | 0.0315206 | + | 0.0545954i | ||||
\(52\) | 0.308883 | + | 0.693764i | 0.0428344 | + | 0.0962077i | ||||
\(53\) | −2.22754 | + | 10.4798i | −0.305976 | + | 1.43951i | 0.509378 | + | 0.860543i | \(0.329876\pi\) |
−0.815354 | + | 0.578963i | \(0.803458\pi\) | |||||||
\(54\) | 1.27418 | − | 1.41513i | 0.173395 | − | 0.192574i | ||||
\(55\) | 0.682859 | + | 12.5317i | 0.0920767 | + | 1.68977i | ||||
\(56\) | −7.09515 | − | 0.320986i | −0.948130 | − | 0.0428935i | ||||
\(57\) | − | 0.263237i | − | 0.0348666i | ||||||
\(58\) | 0.463315 | + | 2.17973i | 0.0608362 | + | 0.286212i | ||||
\(59\) | −1.05882 | − | 10.0740i | −0.137846 | − | 1.31152i | −0.816622 | − | 0.577173i | \(-0.804156\pi\) |
0.678776 | − | 0.734346i | \(-0.262511\pi\) | |||||||
\(60\) | −0.0628314 | − | 0.0625710i | −0.00811150 | − | 0.00807788i | ||||
\(61\) | 0.761635 | − | 7.24647i | 0.0975173 | − | 0.927815i | −0.830936 | − | 0.556367i | \(-0.812195\pi\) |
0.928454 | − | 0.371448i | \(-0.121139\pi\) | |||||||
\(62\) | −1.90479 | − | 2.62172i | −0.241909 | − | 0.332959i | ||||
\(63\) | 7.72561 | + | 1.16705i | 0.973335 | + | 0.147035i | ||||
\(64\) | 5.77574 | + | 4.19632i | 0.721968 | + | 0.524540i | ||||
\(65\) | 8.94935 | − | 2.41791i | 1.11003 | − | 0.299904i | ||||
\(66\) | 0.187663 | + | 1.78549i | 0.0230997 | + | 0.219779i | ||||
\(67\) | −1.81016 | + | 1.62988i | −0.221147 | + | 0.199121i | −0.772256 | − | 0.635312i | \(-0.780872\pi\) |
0.551109 | + | 0.834433i | \(0.314205\pi\) | |||||||
\(68\) | −0.329902 | + | 0.190469i | −0.0400065 | + | 0.0230978i | ||||
\(69\) | −0.362698 | + | 1.11627i | −0.0436638 | + | 0.134383i | ||||
\(70\) | 1.73845 | − | 8.56674i | 0.207785 | − | 1.02392i | ||||
\(71\) | −2.88907 | − | 8.89164i | −0.342869 | − | 1.05524i | −0.962715 | − | 0.270519i | \(-0.912805\pi\) |
0.619845 | − | 0.784724i | \(-0.287195\pi\) | |||||||
\(72\) | −5.89133 | − | 5.30458i | −0.694300 | − | 0.625150i | ||||
\(73\) | 0.425399 | + | 0.955462i | 0.0497892 | + | 0.111828i | 0.936727 | − | 0.350060i | \(-0.113839\pi\) |
−0.886938 | + | 0.461888i | \(0.847172\pi\) | |||||||
\(74\) | −1.68408 | + | 2.91692i | −0.195771 | + | 0.339085i | ||||
\(75\) | −0.873057 | + | 0.639871i | −0.100812 | + | 0.0738859i | ||||
\(76\) | 0.222736 | 0.0255496 | ||||||||
\(77\) | −11.4732 | + | 9.42747i | −1.30750 | + | 1.07436i | ||||
\(78\) | 1.26121 | − | 0.409792i | 0.142804 | − | 0.0463998i | ||||
\(79\) | −0.952485 | + | 1.05784i | −0.107163 | + | 0.119016i | −0.794340 | − | 0.607474i | \(-0.792183\pi\) |
0.687177 | + | 0.726490i | \(0.258850\pi\) | |||||||
\(80\) | −6.83652 | + | 6.86498i | −0.764346 | + | 0.767528i | ||||
\(81\) | 5.74141 | + | 6.37648i | 0.637934 | + | 0.708498i | ||||
\(82\) | 1.02127 | − | 0.589633i | 0.112781 | − | 0.0651140i | ||||
\(83\) | −12.1826 | − | 3.95837i | −1.33721 | − | 0.434487i | −0.448842 | − | 0.893611i | \(-0.648164\pi\) |
−0.888372 | + | 0.459124i | \(0.848164\pi\) | |||||||
\(84\) | 0.0156716 | − | 0.103742i | 0.00170991 | − | 0.0113192i | ||||
\(85\) | 1.67547 | + | 4.33779i | 0.181730 | + | 0.470499i | ||||
\(86\) | 0.640985 | − | 6.09856i | 0.0691192 | − | 0.657625i | ||||
\(87\) | 0.324712 | − | 0.0341286i | 0.0348128 | − | 0.00365897i | ||||
\(88\) | 14.9844 | − | 1.57492i | 1.59734 | − | 0.167887i | ||||
\(89\) | 0.530946 | − | 5.05162i | 0.0562802 | − | 0.535470i | −0.929666 | − | 0.368405i | \(-0.879904\pi\) |
0.985946 | − | 0.167066i | \(-0.0534292\pi\) | |||||||
\(90\) | 7.56978 | − | 6.15596i | 0.797925 | − | 0.648896i | ||||
\(91\) | 8.57341 | + | 6.84169i | 0.898738 | + | 0.717204i | ||||
\(92\) | −0.944526 | − | 0.306895i | −0.0984737 | − | 0.0319960i | ||||
\(93\) | −0.411193 | + | 0.237402i | −0.0426387 | + | 0.0246175i | ||||
\(94\) | 11.9972 | + | 13.3242i | 1.23742 | + | 1.37429i | ||||
\(95\) | 0.419758 | − | 2.68635i | 0.0430662 | − | 0.275613i | ||||
\(96\) | −0.149646 | + | 0.166198i | −0.0152731 | + | 0.0169626i | ||||
\(97\) | 9.10264 | − | 2.95763i | 0.924233 | − | 0.300301i | 0.192031 | − | 0.981389i | \(-0.438493\pi\) |
0.732202 | + | 0.681087i | \(0.238493\pi\) | |||||||
\(98\) | 9.38759 | − | 4.34153i | 0.948290 | − | 0.438561i | ||||
\(99\) | −16.5749 | −1.66584 | ||||||||
\(100\) | −0.541423 | − | 0.738732i | −0.0541423 | − | 0.0738732i | ||||
\(101\) | 8.57674 | − | 14.8553i | 0.853417 | − | 1.47816i | −0.0246881 | − | 0.999695i | \(-0.507859\pi\) |
0.878105 | − | 0.478467i | \(-0.158807\pi\) | |||||||
\(102\) | 0.270563 | + | 0.607694i | 0.0267897 | + | 0.0601707i | ||||
\(103\) | 1.94863 | + | 1.75456i | 0.192004 | + | 0.172881i | 0.759526 | − | 0.650477i | \(-0.225431\pi\) |
−0.567522 | + | 0.823359i | \(0.692098\pi\) | |||||||
\(104\) | −3.43910 | − | 10.5845i | −0.337231 | − | 1.03789i | ||||
\(105\) | −1.22167 | − | 0.384518i | −0.119223 | − | 0.0375251i | ||||
\(106\) | −4.89186 | + | 15.0556i | −0.475139 | + | 1.46233i | ||||
\(107\) | −7.52810 | + | 4.34635i | −0.727769 | + | 0.420178i | −0.817605 | − | 0.575779i | \(-0.804699\pi\) |
0.0898366 | + | 0.995957i | \(0.471366\pi\) | |||||||
\(108\) | 0.175439 | − | 0.157966i | 0.0168816 | − | 0.0152003i | ||||
\(109\) | −1.70676 | − | 16.2387i | −0.163478 | − | 1.55539i | −0.701631 | − | 0.712541i | \(-0.747544\pi\) |
0.538153 | − | 0.842847i | \(-0.319122\pi\) | |||||||
\(110\) | −0.932038 | + | 18.5203i | −0.0888664 | + | 1.76584i | ||||
\(111\) | 0.399243 | + | 0.290067i | 0.0378945 | + | 0.0275319i | ||||
\(112\) | −11.3349 | − | 1.71228i | −1.07105 | − | 0.161796i | ||||
\(113\) | 3.45854 | + | 4.76028i | 0.325352 | + | 0.447809i | 0.940092 | − | 0.340921i | \(-0.110739\pi\) |
−0.614740 | + | 0.788730i | \(0.710739\pi\) | |||||||
\(114\) | 0.0406561 | − | 0.386817i | 0.00380779 | − | 0.0362287i | ||||
\(115\) | −5.48137 | + | 10.8133i | −0.511140 | + | 1.00834i | ||||
\(116\) | 0.0288777 | + | 0.274753i | 0.00268123 | + | 0.0255102i | ||||
\(117\) | 2.54547 | + | 11.9755i | 0.235329 | + | 1.10713i | ||||
\(118\) | − | 14.9669i | − | 1.37781i | ||||||
\(119\) | −2.96358 | + | 4.63575i | −0.271671 | + | 0.424959i | ||||
\(120\) | 0.819892 | + | 1.00819i | 0.0748455 | + | 0.0920350i | ||||
\(121\) | 13.7183 | − | 15.2358i | 1.24712 | − | 1.38507i | ||||
\(122\) | 2.23839 | − | 10.5308i | 0.202654 | − | 0.953413i | ||||
\(123\) | −0.0702767 | − | 0.157844i | −0.00633664 | − | 0.0142323i | ||||
\(124\) | −0.200877 | − | 0.347928i | −0.0180393 | − | 0.0312449i | ||||
\(125\) | −9.92993 | + | 5.13774i | −0.888160 | + | 0.459534i | ||||
\(126\) | 11.1723 | + | 2.90814i | 0.995303 | + | 0.259077i | ||||
\(127\) | 7.41853 | − | 10.2107i | 0.658288 | − | 0.906055i | −0.341135 | − | 0.940014i | \(-0.610811\pi\) |
0.999423 | + | 0.0339588i | \(0.0108115\pi\) | |||||||
\(128\) | 9.37455 | + | 8.44089i | 0.828601 | + | 0.746076i | ||||
\(129\) | −0.878829 | − | 0.186801i | −0.0773765 | − | 0.0164469i | ||||
\(130\) | 13.5242 | − | 2.17083i | 1.18615 | − | 0.190394i | ||||
\(131\) | −3.32706 | + | 0.707188i | −0.290686 | + | 0.0617873i | −0.350947 | − | 0.936395i | \(-0.614140\pi\) |
0.0602605 | + | 0.998183i | \(0.480807\pi\) | |||||||
\(132\) | 0.222574i | 0.0193726i | ||||||||
\(133\) | 2.85594 | − | 1.48099i | 0.247641 | − | 0.128418i | ||||
\(134\) | −2.91170 | + | 2.11547i | −0.251532 | + | 0.182749i | ||||
\(135\) | −1.57455 | − | 2.41360i | −0.135516 | − | 0.207730i | ||||
\(136\) | 5.09995 | − | 2.27064i | 0.437317 | − | 0.194706i | ||||
\(137\) | 13.5721 | − | 1.42648i | 1.15954 | − | 0.121873i | 0.494841 | − | 0.868983i | \(-0.335226\pi\) |
0.664700 | + | 0.747111i | \(0.268560\pi\) | |||||||
\(138\) | −0.705377 | + | 1.58430i | −0.0600457 | + | 0.134865i | ||||
\(139\) | −5.59208 | − | 4.06288i | −0.474314 | − | 0.344609i | 0.324806 | − | 0.945781i | \(-0.394701\pi\) |
−0.799120 | + | 0.601171i | \(0.794701\pi\) | |||||||
\(140\) | 0.325358 | − | 1.03371i | 0.0274977 | − | 0.0873642i | ||||
\(141\) | 2.12526 | − | 1.54409i | 0.178979 | − | 0.130036i | ||||
\(142\) | −2.87210 | − | 13.5122i | −0.241021 | − | 1.13391i | ||||
\(143\) | −20.1513 | − | 11.6344i | −1.68514 | − | 0.972915i | ||||
\(144\) | −8.56176 | − | 9.50880i | −0.713480 | − | 0.792400i | ||||
\(145\) | 3.36813 | + | 0.169502i | 0.279708 | + | 0.0140764i | ||||
\(146\) | 0.477540 | + | 1.46972i | 0.0395215 | + | 0.121635i | ||||
\(147\) | −0.488849 | − | 1.43439i | −0.0403196 | − | 0.118307i | ||||
\(148\) | −0.245439 | + | 0.337817i | −0.0201749 | + | 0.0277684i | ||||
\(149\) | 6.00186 | + | 10.3955i | 0.491692 | + | 0.851635i | 0.999954 | − | 0.00956709i | \(-0.00304534\pi\) |
−0.508262 | + | 0.861202i | \(0.669712\pi\) | |||||||
\(150\) | −1.38175 | + | 0.805426i | −0.112820 | + | 0.0657628i | ||||
\(151\) | −8.59407 | + | 14.8854i | −0.699375 | + | 1.21135i | 0.269308 | + | 0.963054i | \(0.413205\pi\) |
−0.968683 | + | 0.248299i | \(0.920128\pi\) | |||||||
\(152\) | −3.24628 | − | 0.341198i | −0.263308 | − | 0.0276748i | ||||
\(153\) | −5.84075 | + | 1.89777i | −0.472196 | + | 0.153426i | ||||
\(154\) | −18.3155 | + | 12.0813i | −1.47591 | + | 0.973541i | ||||
\(155\) | −4.57481 | + | 1.76702i | −0.367458 | + | 0.141930i | ||||
\(156\) | 0.160811 | − | 0.0341815i | 0.0128752 | − | 0.00273671i | ||||
\(157\) | −1.77467 | − | 1.02461i | −0.141634 | − | 0.0817725i | 0.427508 | − | 0.904011i | \(-0.359391\pi\) |
−0.569143 | + | 0.822239i | \(0.692725\pi\) | |||||||
\(158\) | −1.56302 | + | 1.40735i | −0.124347 | + | 0.111963i | ||||
\(159\) | 2.11889 | + | 0.943390i | 0.168039 | + | 0.0748157i | ||||
\(160\) | −1.79216 | + | 1.45744i | −0.141683 | + | 0.115221i | ||||
\(161\) | −14.1513 | + | 2.34520i | −1.11528 | + | 0.184828i | ||||
\(162\) | 7.45196 | + | 10.2567i | 0.585482 | + | 0.805846i | ||||
\(163\) | −4.95453 | + | 11.1281i | −0.388069 | + | 0.871616i | 0.608858 | + | 0.793279i | \(0.291628\pi\) |
−0.996927 | + | 0.0783373i | \(0.975039\pi\) | |||||||
\(164\) | 0.133559 | − | 0.0594642i | 0.0104292 | − | 0.00464338i | ||||
\(165\) | 2.68439 | + | 0.419452i | 0.208979 | + | 0.0326543i | ||||
\(166\) | −17.2905 | − | 7.69825i | −1.34201 | − | 0.597500i | ||||
\(167\) | 4.28292 | + | 1.39160i | 0.331422 | + | 0.107686i | 0.470001 | − | 0.882666i | \(-0.344253\pi\) |
−0.138579 | + | 0.990351i | \(0.544253\pi\) | |||||||
\(168\) | −0.387324 | + | 1.48799i | −0.0298827 | + | 0.114801i | ||||
\(169\) | −1.29399 | + | 3.98249i | −0.0995377 | + | 0.306346i | ||||
\(170\) | 1.79208 | + | 6.63300i | 0.137446 | + | 0.508728i | ||||
\(171\) | 3.51239 | + | 0.746581i | 0.268599 | + | 0.0570925i | ||||
\(172\) | 0.158060 | − | 0.743616i | 0.0120520 | − | 0.0567002i | ||||
\(173\) | −24.9042 | − | 2.61753i | −1.89343 | − | 0.199007i | −0.914696 | − | 0.404143i | \(-0.867570\pi\) |
−0.978734 | + | 0.205135i | \(0.934237\pi\) | |||||||
\(174\) | 0.482424 | 0.0365724 | ||||||||
\(175\) | −11.8540 | − | 5.87210i | −0.896082 | − | 0.443889i | ||||
\(176\) | 24.3185 | 1.83307 | ||||||||
\(177\) | −2.18088 | − | 0.229220i | −0.163925 | − | 0.0172292i | ||||
\(178\) | 1.56041 | − | 7.34117i | 0.116958 | − | 0.550244i | ||||
\(179\) | −6.40929 | − | 1.36234i | −0.479053 | − | 0.101826i | −0.0379449 | − | 0.999280i | \(-0.512081\pi\) |
−0.441108 | + | 0.897454i | \(0.645414\pi\) | |||||||
\(180\) | 1.01309 | − | 0.660904i | 0.0755113 | − | 0.0492609i | ||||
\(181\) | −6.10225 | + | 18.7808i | −0.453577 | + | 1.39597i | 0.419221 | + | 0.907884i | \(0.362303\pi\) |
−0.872798 | + | 0.488082i | \(0.837697\pi\) | |||||||
\(182\) | 11.5416 | + | 11.3778i | 0.855524 | + | 0.843375i | ||||
\(183\) | −1.50020 | − | 0.487445i | −0.110898 | − | 0.0360330i | ||||
\(184\) | 13.2959 | + | 5.91973i | 0.980190 | + | 0.436409i | ||||
\(185\) | 3.61176 | + | 3.59679i | 0.265542 | + | 0.264441i | ||||
\(186\) | −0.640899 | + | 0.285347i | −0.0469930 | + | 0.0209226i | ||||
\(187\) | 4.74744 | − | 10.6629i | 0.347167 | − | 0.779750i | ||||
\(188\) | 1.30653 | + | 1.79828i | 0.0952882 | + | 0.131153i | ||||
\(189\) | 1.19916 | − | 3.19196i | 0.0872261 | − | 0.232181i | ||||
\(190\) | 1.03172 | − | 3.88266i | 0.0748486 | − | 0.281678i | ||||
\(191\) | −13.9375 | − | 6.20539i | −1.00848 | − | 0.449006i | −0.165077 | − | 0.986281i | \(-0.552787\pi\) |
−0.843407 | + | 0.537275i | \(0.819454\pi\) | |||||||
\(192\) | 1.14856 | − | 1.03417i | 0.0828904 | − | 0.0746349i | ||||
\(193\) | 2.97402 | + | 1.71705i | 0.214075 | + | 0.123596i | 0.603204 | − | 0.797587i | \(-0.293891\pi\) |
−0.389129 | + | 0.921183i | \(0.627224\pi\) | |||||||
\(194\) | 13.8328 | − | 2.94025i | 0.993137 | − | 0.211098i | ||||
\(195\) | −0.109195 | − | 2.00391i | −0.00781958 | − | 0.143503i | ||||
\(196\) | 1.21370 | − | 0.413637i | 0.0866931 | − | 0.0295455i | ||||
\(197\) | −7.61009 | + | 2.47267i | −0.542197 | + | 0.176170i | −0.567295 | − | 0.823515i | \(-0.692010\pi\) |
0.0250984 | + | 0.999685i | \(0.492010\pi\) | |||||||
\(198\) | −24.3562 | − | 2.55994i | −1.73092 | − | 0.181927i | ||||
\(199\) | −9.60469 | + | 16.6358i | −0.680859 | + | 1.17928i | 0.293860 | + | 0.955848i | \(0.405060\pi\) |
−0.974719 | + | 0.223434i | \(0.928273\pi\) | |||||||
\(200\) | 6.75938 | + | 11.5961i | 0.477960 | + | 0.819966i | ||||
\(201\) | 0.263661 | + | 0.456674i | 0.0185972 | + | 0.0322113i | ||||
\(202\) | 14.8976 | − | 20.5048i | 1.04819 | − | 1.44271i | ||||
\(203\) | 2.19713 | + | 3.33089i | 0.154208 | + | 0.233783i | ||||
\(204\) | 0.0254840 | + | 0.0784318i | 0.00178424 | + | 0.00549132i | ||||
\(205\) | −0.465480 | − | 1.72287i | −0.0325105 | − | 0.120331i | ||||
\(206\) | 2.59246 | + | 2.87922i | 0.180625 | + | 0.200604i | ||||
\(207\) | −13.8658 | − | 8.00544i | −0.963742 | − | 0.556416i | ||||
\(208\) | −3.73468 | − | 17.5703i | −0.258954 | − | 1.21828i | ||||
\(209\) | −5.52128 | + | 4.01145i | −0.381915 | + | 0.277478i | ||||
\(210\) | −1.73581 | − | 0.753718i | −0.119782 | − | 0.0520115i | ||||
\(211\) | 15.3504 | + | 11.1527i | 1.05676 | + | 0.767784i | 0.973487 | − | 0.228742i | \(-0.0734612\pi\) |
0.0832775 | + | 0.996526i | \(0.473461\pi\) | |||||||
\(212\) | −0.798244 | + | 1.79289i | −0.0548237 | + | 0.123136i | ||||
\(213\) | −2.01289 | + | 0.211564i | −0.137921 | + | 0.0144961i | ||||
\(214\) | −11.7336 | + | 5.22411i | −0.802089 | + | 0.357113i | ||||
\(215\) | −8.67063 | − | 3.30770i | −0.591332 | − | 0.225583i | ||||
\(216\) | −2.79893 | + | 2.03354i | −0.190443 | + | 0.138365i | ||||
\(217\) | −4.88906 | − | 3.12552i | −0.331891 | − | 0.212174i | ||||
\(218\) | − | 24.1258i | − | 1.63401i | ||||||
\(219\) | 0.221472 | − | 0.0470753i | 0.0149657 | − | 0.00318105i | ||||
\(220\) | −0.354917 | + | 2.27138i | −0.0239285 | + | 0.153136i | ||||
\(221\) | −8.43313 | − | 1.79252i | −0.567274 | − | 0.120578i | ||||
\(222\) | 0.541873 | + | 0.487905i | 0.0363682 | + | 0.0327460i | ||||
\(223\) | 9.06575 | − | 12.4779i | 0.607088 | − | 0.835585i | −0.389246 | − | 0.921134i | \(-0.627264\pi\) |
0.996334 | + | 0.0855491i | \(0.0272645\pi\) | |||||||
\(224\) | −2.64506 | − | 0.688508i | −0.176730 | − | 0.0460029i | ||||
\(225\) | −6.06172 | − | 13.4640i | −0.404115 | − | 0.897603i | ||||
\(226\) | 4.34700 | + | 7.52922i | 0.289158 | + | 0.500836i | ||||
\(227\) | 4.60801 | + | 10.3498i | 0.305844 | + | 0.686938i | 0.999441 | − | 0.0334257i | \(-0.0106417\pi\) |
−0.693597 | + | 0.720363i | \(0.743975\pi\) | |||||||
\(228\) | 0.0100254 | − | 0.0471657i | 0.000663947 | − | 0.00312363i | ||||
\(229\) | 3.12389 | − | 3.46944i | 0.206433 | − | 0.229267i | −0.631034 | − | 0.775755i | \(-0.717369\pi\) |
0.837467 | + | 0.546489i | \(0.184036\pi\) | |||||||
\(230\) | −9.72475 | + | 15.0431i | −0.641231 | + | 0.991913i | ||||
\(231\) | 1.47991 | + | 2.85386i | 0.0973710 | + | 0.187770i | ||||
\(232\) | − | 4.04864i | − | 0.265806i | ||||||
\(233\) | −1.12681 | − | 5.30122i | −0.0738197 | − | 0.347294i | 0.925701 | − | 0.378256i | \(-0.123476\pi\) |
−0.999521 | + | 0.0309621i | \(0.990143\pi\) | |||||||
\(234\) | 1.89090 | + | 17.9907i | 0.123612 | + | 1.17609i | ||||
\(235\) | 24.1507 | − | 12.3686i | 1.57541 | − | 0.806840i | ||||
\(236\) | 0.193953 | − | 1.84534i | 0.0126253 | − | 0.120121i | ||||
\(237\) | 0.181133 | + | 0.249308i | 0.0117658 | + | 0.0161943i | ||||
\(238\) | −5.07086 | + | 6.35436i | −0.328695 | + | 0.411892i | ||||
\(239\) | 9.08463 | + | 6.60037i | 0.587636 | + | 0.426942i | 0.841469 | − | 0.540306i | \(-0.181691\pi\) |
−0.253833 | + | 0.967248i | \(0.581691\pi\) | |||||||
\(240\) | 1.14599 | + | 1.75667i | 0.0739732 | + | 0.113392i | ||||
\(241\) | 2.40127 | + | 22.8465i | 0.154679 | + | 1.47168i | 0.746381 | + | 0.665518i | \(0.231790\pi\) |
−0.591702 | + | 0.806157i | \(0.701544\pi\) | |||||||
\(242\) | 22.5117 | − | 20.2697i | 1.44711 | − | 1.30298i | ||||
\(243\) | 4.95701 | − | 2.86193i | 0.317992 | − | 0.183593i | ||||
\(244\) | 0.412449 | − | 1.26939i | 0.0264043 | − | 0.0812642i | ||||
\(245\) | −2.70145 | − | 15.4176i | −0.172589 | − | 0.984994i | ||||
\(246\) | −0.0788906 | − | 0.242800i | −0.00502988 | − | 0.0154804i | ||||
\(247\) | 3.74623 | + | 3.37312i | 0.238367 | + | 0.214626i | ||||
\(248\) | 2.39471 | + | 5.37862i | 0.152065 | + | 0.341543i | ||||
\(249\) | −1.38655 | + | 2.40157i | −0.0878689 | + | 0.152193i | ||||
\(250\) | −15.3852 | + | 6.01608i | −0.973045 | + | 0.380490i | ||||
\(251\) | 28.9587 | 1.82786 | 0.913928 | − | 0.405877i | \(-0.133034\pi\) | ||||
0.913928 | + | 0.405877i | \(0.133034\pi\) | |||||||
\(252\) | 1.33980 | + | 0.503338i | 0.0843993 | + | 0.0317073i | ||||
\(253\) | 28.9405 | − | 9.40333i | 1.81947 | − | 0.591182i | ||||
\(254\) | 12.4783 | − | 13.8585i | 0.782957 | − | 0.869561i | ||||
\(255\) | 0.993965 | − | 0.159546i | 0.0622445 | − | 0.00999114i | ||||
\(256\) | 2.91777 | + | 3.24051i | 0.182361 | + | 0.202532i | ||||
\(257\) | 21.0760 | − | 12.1682i | 1.31469 | − | 0.759034i | 0.331817 | − | 0.943344i | \(-0.392338\pi\) |
0.982868 | + | 0.184310i | \(0.0590051\pi\) | |||||||
\(258\) | −1.26256 | − | 0.410229i | −0.0786033 | − | 0.0255398i | ||||
\(259\) | −0.900856 | + | 5.96346i | −0.0559764 | + | 0.370551i | ||||
\(260\) | 1.69560 | − | 0.0923943i | 0.105156 | − | 0.00573005i | ||||
\(261\) | −0.465554 | + | 4.42945i | −0.0288171 | + | 0.274176i | ||||
\(262\) | −4.99821 | + | 0.525333i | −0.308791 | + | 0.0324552i | ||||
\(263\) | −4.37652 | + | 0.459991i | −0.269868 | + | 0.0283643i | −0.238496 | − | 0.971143i | \(-0.576654\pi\) |
−0.0313721 | + | 0.999508i | \(0.509988\pi\) | |||||||
\(264\) | 0.340949 | − | 3.24392i | 0.0209840 | − | 0.199649i | ||||
\(265\) | 20.1191 | + | 13.0061i | 1.23590 | + | 0.798961i | ||||
\(266\) | 4.42543 | − | 1.73517i | 0.271341 | − | 0.106390i | ||||
\(267\) | −1.04581 | − | 0.339805i | −0.0640026 | − | 0.0207957i | ||||
\(268\) | −0.386412 | + | 0.223095i | −0.0236039 | + | 0.0136277i | ||||
\(269\) | −13.0738 | − | 14.5199i | −0.797124 | − | 0.885296i | 0.198369 | − | 0.980127i | \(-0.436436\pi\) |
−0.995493 | + | 0.0948313i | \(0.969769\pi\) | |||||||
\(270\) | −1.94097 | − | 3.78989i | −0.118124 | − | 0.230645i | ||||
\(271\) | 15.1780 | − | 16.8568i | 0.921996 | − | 1.02398i | −0.0776396 | − | 0.996981i | \(-0.524738\pi\) |
0.999635 | − | 0.0269987i | \(-0.00859499\pi\) | |||||||
\(272\) | 8.56948 | − | 2.78439i | 0.519601 | − | 0.168829i | ||||
\(273\) | 1.83466 | − | 1.50753i | 0.111039 | − | 0.0912396i | ||||
\(274\) | 20.1640 | 1.21815 | ||||||||
\(275\) | 26.7255 | + | 8.56106i | 1.61161 | + | 0.516251i | ||||
\(276\) | −0.107500 | + | 0.186196i | −0.00647075 | + | 0.0112077i | ||||
\(277\) | −3.48953 | − | 7.83761i | −0.209666 | − | 0.470916i | 0.777848 | − | 0.628453i | \(-0.216311\pi\) |
−0.987513 | + | 0.157536i | \(0.949645\pi\) | |||||||
\(278\) | −7.58986 | − | 6.83394i | −0.455209 | − | 0.409872i | ||||
\(279\) | −2.00147 | − | 6.15989i | −0.119825 | − | 0.368783i | ||||
\(280\) | −6.32543 | + | 14.5674i | −0.378017 | + | 0.870571i | ||||
\(281\) | 2.65602 | − | 8.17439i | 0.158445 | − | 0.487643i | −0.840049 | − | 0.542511i | \(-0.817474\pi\) |
0.998494 | + | 0.0548676i | \(0.0174737\pi\) | |||||||
\(282\) | 3.36148 | − | 1.94075i | 0.200173 | − | 0.115570i | ||||
\(283\) | −11.5848 | + | 10.4310i | −0.688643 | + | 0.620057i | −0.937295 | − | 0.348536i | \(-0.886679\pi\) |
0.248653 | + | 0.968593i | \(0.420012\pi\) | |||||||
\(284\) | −0.179013 | − | 1.70320i | −0.0106225 | − | 0.101066i | ||||
\(285\) | −0.549956 | − | 0.209799i | −0.0325766 | − | 0.0124274i | ||||
\(286\) | −27.8148 | − | 20.2086i | −1.64472 | − | 1.19496i | ||||
\(287\) | 1.31712 | − | 1.65050i | 0.0777470 | − | 0.0974258i | ||||
\(288\) | −1.79318 | − | 2.46810i | −0.105664 | − | 0.145434i | ||||
\(289\) | −1.32493 | + | 12.6058i | −0.0779369 | + | 0.741520i | ||||
\(290\) | 4.92316 | + | 0.769274i | 0.289098 | + | 0.0451733i | ||||
\(291\) | −0.216584 | − | 2.06066i | −0.0126964 | − | 0.120798i | ||||
\(292\) | 0.0398325 | + | 0.187397i | 0.00233102 | + | 0.0109666i | ||||
\(293\) | 33.2953i | 1.94513i | 0.232624 | + | 0.972567i | \(0.425269\pi\) | ||||
−0.232624 | + | 0.972567i | \(0.574731\pi\) | |||||||
\(294\) | −0.496809 | − | 2.18329i | −0.0289745 | − | 0.127332i | ||||
\(295\) | −21.8905 | − | 5.81684i | −1.27451 | − | 0.338669i | ||||
\(296\) | 4.09465 | − | 4.54756i | 0.237996 | − | 0.264322i | ||||
\(297\) | −1.50391 | + | 7.07536i | −0.0872659 | + | 0.410554i | ||||
\(298\) | 7.21397 | + | 16.2028i | 0.417894 | + | 0.938605i | ||||
\(299\) | −11.2385 | − | 19.4656i | −0.649938 | − | 1.12573i | ||||
\(300\) | −0.180800 | + | 0.0813991i | −0.0104385 | + | 0.00469958i | ||||
\(301\) | −2.91770 | − | 10.5856i | −0.168173 | − | 0.610147i | ||||
\(302\) | −14.9277 | + | 20.5462i | −0.858991 | + | 1.18230i | ||||
\(303\) | −2.75967 | − | 2.48482i | −0.158539 | − | 0.142749i | ||||
\(304\) | −5.15334 | − | 1.09538i | −0.295564 | − | 0.0628241i | ||||
\(305\) | −14.5324 | − | 7.36663i | −0.832121 | − | 0.421812i | ||||
\(306\) | −8.87587 | + | 1.88663i | −0.507400 | + | 0.107851i | ||||
\(307\) | 14.3799i | 0.820703i | 0.911927 | + | 0.410351i | \(0.134594\pi\) | ||||
−0.911927 | + | 0.410351i | \(0.865406\pi\) | |||||||
\(308\) | −2.41477 | + | 1.25222i | −0.137595 | + | 0.0713518i | ||||
\(309\) | 0.459246 | − | 0.333661i | 0.0261256 | − | 0.0189813i | ||||
\(310\) | −6.99543 | + | 1.89000i | −0.397314 | + | 0.107345i | ||||
\(311\) | 22.9079 | − | 10.1993i | 1.29899 | − | 0.578347i | 0.363464 | − | 0.931608i | \(-0.381594\pi\) |
0.935525 | + | 0.353262i | \(0.114927\pi\) | |||||||
\(312\) | −2.39612 | + | 0.251842i | −0.135653 | + | 0.0142577i | ||||
\(313\) | −1.86589 | + | 4.19086i | −0.105467 | + | 0.236882i | −0.958568 | − | 0.284863i | \(-0.908052\pi\) |
0.853102 | + | 0.521745i | \(0.174719\pi\) | |||||||
\(314\) | −2.44957 | − | 1.77972i | −0.138237 | − | 0.100435i | ||||
\(315\) | 8.59550 | − | 15.2103i | 0.484302 | − | 0.857002i | ||||
\(316\) | −0.210950 | + | 0.153264i | −0.0118669 | + | 0.00862180i | ||||
\(317\) | 3.86671 | + | 18.1914i | 0.217176 | + | 1.02173i | 0.942727 | + | 0.333565i | \(0.108252\pi\) |
−0.725551 | + | 0.688168i | \(0.758415\pi\) | |||||||
\(318\) | 2.96793 | + | 1.71353i | 0.166433 | + | 0.0960902i | ||||
\(319\) | −5.66410 | − | 6.29062i | −0.317129 | − | 0.352207i | ||||
\(320\) | 13.3703 | − | 8.72228i | 0.747420 | − | 0.487590i | ||||
\(321\) | 0.581525 | + | 1.78975i | 0.0324576 | + | 0.0998941i | ||||
\(322\) | −21.1571 | + | 1.26056i | −1.17904 | + | 0.0702481i | ||||
\(323\) | −1.48632 | + | 2.04575i | −0.0827012 | + | 0.113828i | ||||
\(324\) | 0.785874 | + | 1.36117i | 0.0436597 | + | 0.0756208i | ||||
\(325\) | 2.08110 | − | 20.6241i | 0.115439 | − | 1.14402i | ||||
\(326\) | −8.99919 | + | 15.5871i | −0.498419 | + | 0.863288i | ||||
\(327\) | −3.51547 | − | 0.369491i | −0.194406 | − | 0.0204329i | ||||
\(328\) | −2.03765 | + | 0.662073i | −0.112510 | + | 0.0365569i | ||||
\(329\) | 28.7093 | + | 14.3705i | 1.58279 | + | 0.792269i | ||||
\(330\) | 3.87983 | + | 1.03096i | 0.213578 | + | 0.0567527i | ||||
\(331\) | −20.9992 | + | 4.46351i | −1.15422 | + | 0.245337i | −0.744977 | − | 0.667090i | \(-0.767540\pi\) |
−0.409241 | + | 0.912426i | \(0.634206\pi\) | |||||||
\(332\) | −2.03208 | − | 1.17322i | −0.111525 | − | 0.0643888i | ||||
\(333\) | −5.00271 | + | 4.50446i | −0.274147 | + | 0.246843i | ||||
\(334\) | 6.07867 | + | 2.70640i | 0.332610 | + | 0.148087i | ||||
\(335\) | 1.96246 | + | 5.08082i | 0.107221 | + | 0.277595i | ||||
\(336\) | −0.872772 | + | 2.32317i | −0.0476136 | + | 0.126739i | ||||
\(337\) | −3.01712 | − | 4.15270i | −0.164353 | − | 0.226212i | 0.718895 | − | 0.695119i | \(-0.244648\pi\) |
−0.883248 | + | 0.468906i | \(0.844648\pi\) | |||||||
\(338\) | −2.51656 | + | 5.65228i | −0.136883 | + | 0.307443i | ||||
\(339\) | 1.16369 | − | 0.518107i | 0.0632028 | − | 0.0281397i | ||||
\(340\) | 0.134999 | + | 0.841038i | 0.00732133 | + | 0.0456117i | ||||
\(341\) | 11.2456 | + | 5.00685i | 0.608981 | + | 0.271136i | ||||
\(342\) | 5.04602 | + | 1.63955i | 0.272858 | + | 0.0886568i | ||||
\(343\) | 12.8119 | − | 13.3737i | 0.691777 | − | 0.722112i | ||||
\(344\) | −3.44277 | + | 10.5958i | −0.185622 | + | 0.571285i | ||||
\(345\) | 2.04305 | + | 1.64742i | 0.109994 | + | 0.0886940i | ||||
\(346\) | −36.1915 | − | 7.69275i | −1.94567 | − | 0.413565i | ||||
\(347\) | 1.25386 | − | 5.89893i | 0.0673105 | − | 0.316671i | −0.931592 | − | 0.363505i | \(-0.881580\pi\) |
0.998903 | + | 0.0468341i | \(0.0149132\pi\) | |||||||
\(348\) | 0.0594804 | + | 0.00625164i | 0.00318848 | + | 0.000335123i | ||||
\(349\) | 4.89281 | 0.261906 | 0.130953 | − | 0.991389i | \(-0.458196\pi\) | ||||
0.130953 | + | 0.991389i | \(0.458196\pi\) | |||||||
\(350\) | −16.5122 | − | 10.4597i | −0.882613 | − | 0.559093i | ||||
\(351\) | 5.34297 | 0.285186 | ||||||||
\(352\) | 5.76639 | + | 0.606072i | 0.307349 | + | 0.0323037i | ||||
\(353\) | 4.87689 | − | 22.9440i | 0.259571 | − | 1.22118i | −0.634381 | − | 0.773020i | \(-0.718745\pi\) |
0.893952 | − | 0.448163i | \(-0.147922\pi\) | |||||||
\(354\) | −3.16932 | − | 0.673660i | −0.168448 | − | 0.0358046i | ||||
\(355\) | −20.8791 | − | 1.05074i | −1.10815 | − | 0.0557677i | ||||
\(356\) | 0.287524 | − | 0.884908i | 0.0152387 | − | 0.0469000i | ||||
\(357\) | 0.848257 | + | 0.836212i | 0.0448945 | + | 0.0442570i | ||||
\(358\) | −9.20782 | − | 2.99180i | −0.486648 | − | 0.158122i | ||||
\(359\) | −22.4575 | − | 9.99874i | −1.18526 | − | 0.527713i | −0.283093 | − | 0.959092i | \(-0.591361\pi\) |
−0.902171 | + | 0.431379i | \(0.858027\pi\) | |||||||
\(360\) | −15.7777 | + | 8.08049i | −0.831560 | + | 0.425879i | ||||
\(361\) | −16.0067 | + | 7.12662i | −0.842456 | + | 0.375085i | ||||
\(362\) | −11.8677 | + | 26.6552i | −0.623751 | + | 1.40097i | ||||
\(363\) | −2.60880 | − | 3.59070i | −0.136926 | − | 0.188463i | ||||
\(364\) | 1.27558 | + | 1.55239i | 0.0668588 | + | 0.0813671i | ||||
\(365\) | 2.33520 | − | 0.127247i | 0.122230 | − | 0.00666041i | ||||
\(366\) | −2.12921 | − | 0.947984i | −0.111295 | − | 0.0495519i | ||||
\(367\) | −9.89946 | + | 8.91352i | −0.516748 | + | 0.465282i | −0.885761 | − | 0.464142i | \(-0.846363\pi\) |
0.369013 | + | 0.929424i | \(0.379696\pi\) | |||||||
\(368\) | 20.3438 | + | 11.7455i | 1.06049 | + | 0.612276i | ||||
\(369\) | 2.30544 | − | 0.490037i | 0.120017 | − | 0.0255103i | ||||
\(370\) | 4.75184 | + | 5.84317i | 0.247036 | + | 0.303772i | ||||
\(371\) | 1.68590 | + | 28.2961i | 0.0875277 | + | 1.46906i | ||||
\(372\) | −0.0827174 | + | 0.0268765i | −0.00428870 | + | 0.00139348i | ||||
\(373\) | 10.8692 | + | 1.14240i | 0.562787 | + | 0.0591513i | 0.381651 | − | 0.924307i | \(-0.375356\pi\) |
0.181137 | + | 0.983458i | \(0.442022\pi\) | |||||||
\(374\) | 8.62305 | − | 14.9356i | 0.445887 | − | 0.772300i | ||||
\(375\) | 0.641000 | + | 2.33397i | 0.0331011 | + | 0.120526i | ||||
\(376\) | −16.2874 | − | 28.2105i | −0.839956 | − | 1.45485i | ||||
\(377\) | −3.67517 | + | 5.05843i | −0.189281 | + | 0.260523i | ||||
\(378\) | 2.25511 | − | 4.50526i | 0.115990 | − | 0.231726i | ||||
\(379\) | 6.12263 | + | 18.8435i | 0.314498 | + | 0.967926i | 0.975960 | + | 0.217948i | \(0.0699362\pi\) |
−0.661462 | + | 0.749978i | \(0.730064\pi\) | |||||||
\(380\) | 0.177520 | − | 0.465343i | 0.00910659 | − | 0.0238716i | ||||
\(381\) | −1.82827 | − | 2.03050i | −0.0936653 | − | 0.104026i | ||||
\(382\) | −19.5223 | − | 11.2712i | −0.998847 | − | 0.576685i | ||||
\(383\) | 2.15499 | + | 10.1384i | 0.110115 | + | 0.518050i | 0.998285 | + | 0.0585358i | \(0.0186432\pi\) |
−0.888170 | + | 0.459514i | \(0.848023\pi\) | |||||||
\(384\) | 2.20936 | − | 1.60519i | 0.112746 | − | 0.0819146i | ||||
\(385\) | 10.5518 | + | 31.4836i | 0.537771 | + | 1.60456i | ||||
\(386\) | 4.10502 | + | 2.98248i | 0.208940 | + | 0.151804i | ||||
\(387\) | 4.98500 | − | 11.1965i | 0.253402 | − | 0.569150i | ||||
\(388\) | 1.74362 | − | 0.183262i | 0.0885187 | − | 0.00930369i | ||||
\(389\) | −6.16125 | + | 2.74316i | −0.312388 | + | 0.139084i | −0.556941 | − | 0.830552i | \(-0.688025\pi\) |
0.244554 | + | 0.969636i | \(0.421359\pi\) | |||||||
\(390\) | 0.149040 | − | 2.96154i | 0.00754694 | − | 0.149963i | ||||
\(391\) | 9.12155 | − | 6.62719i | 0.461297 | − | 0.335152i | ||||
\(392\) | −18.3228 | + | 4.16937i | −0.925443 | + | 0.210585i | ||||
\(393\) | 0.736355i | 0.0371442i | ||||||||
\(394\) | −11.5647 | + | 2.45814i | −0.582619 | + | 0.123839i | ||||
\(395\) | 1.45092 | + | 2.83304i | 0.0730039 | + | 0.142546i | ||||
\(396\) | −2.96982 | − | 0.631255i | −0.149239 | − | 0.0317218i | ||||
\(397\) | −10.0788 | − | 9.07496i | −0.505839 | − | 0.455459i | 0.376267 | − | 0.926511i | \(-0.377208\pi\) |
−0.882105 | + | 0.471052i | \(0.843874\pi\) | |||||||
\(398\) | −16.6831 | + | 22.9623i | −0.836248 | + | 1.15100i | ||||
\(399\) | −0.185063 | − | 0.671421i | −0.00926471 | − | 0.0336131i | ||||
\(400\) | 8.89369 | + | 19.7543i | 0.444684 | + | 0.987714i | ||||
\(401\) | 2.71139 | + | 4.69626i | 0.135400 | + | 0.234520i | 0.925750 | − | 0.378136i | \(-0.123435\pi\) |
−0.790350 | + | 0.612655i | \(0.790101\pi\) | |||||||
\(402\) | 0.316908 | + | 0.711787i | 0.0158059 | + | 0.0355007i | ||||
\(403\) | 1.89046 | − | 8.89393i | 0.0941707 | − | 0.443038i | ||||
\(404\) | 2.10251 | − | 2.33508i | 0.104604 | − | 0.116174i | ||||
\(405\) | 17.8977 | − | 6.91296i | 0.889343 | − | 0.343508i | ||||
\(406\) | 2.71415 | + | 5.23397i | 0.134701 | + | 0.259757i | ||||
\(407\) | − | 12.7943i | − | 0.634189i | ||||||
\(408\) | −0.251273 | − | 1.18215i | −0.0124399 | − | 0.0585250i | ||||
\(409\) | 0.510977 | + | 4.86162i | 0.0252662 | + | 0.240392i | 0.999865 | + | 0.0164337i | \(0.00523123\pi\) |
−0.974599 | + | 0.223958i | \(0.928102\pi\) | |||||||
\(410\) | −0.417913 | − | 2.60359i | −0.0206393 | − | 0.128582i | ||||
\(411\) | 0.308815 | − | 2.93817i | 0.0152327 | − | 0.144929i | ||||
\(412\) | 0.282326 | + | 0.388588i | 0.0139092 | + | 0.0191444i | ||||
\(413\) | −9.78293 | − | 24.9507i | −0.481386 | − | 1.22774i | ||||
\(414\) | −19.1389 | − | 13.9052i | −0.940627 | − | 0.683405i | ||||
\(415\) | −17.9794 | + | 22.2972i | −0.882572 | + | 1.09453i | ||||
\(416\) | −0.447674 | − | 4.25934i | −0.0219490 | − | 0.208831i | ||||
\(417\) | −1.11204 | + | 1.00128i | −0.0544568 | + | 0.0490331i | ||||
\(418\) | −8.73289 | + | 5.04193i | −0.427139 | + | 0.246609i | ||||
\(419\) | 5.58541 | − | 17.1901i | 0.272865 | − | 0.839793i | −0.716911 | − | 0.697165i | \(-0.754445\pi\) |
0.989776 | − | 0.142628i | \(-0.0455554\pi\) | |||||||
\(420\) | −0.204249 | − | 0.115424i | −0.00996635 | − | 0.00563210i | ||||
\(421\) | −5.45044 | − | 16.7747i | −0.265638 | − | 0.817551i | −0.991546 | − | 0.129758i | \(-0.958580\pi\) |
0.725907 | − | 0.687793i | \(-0.241420\pi\) | |||||||
\(422\) | 20.8343 | + | 18.7593i | 1.01420 | + | 0.913190i | ||||
\(423\) | 14.5754 | + | 32.7369i | 0.708680 | + | 1.59172i | ||||
\(424\) | 14.3805 | − | 24.9077i | 0.698378 | − | 1.20963i | ||||
\(425\) | 10.3979 | − | 0.0431940i | 0.504372 | − | 0.00209522i | ||||
\(426\) | −2.99055 | −0.144893 | ||||||||
\(427\) | −3.15181 | − | 19.0186i | −0.152527 | − | 0.920373i | ||||
\(428\) | −1.51439 | + | 0.492054i | −0.0732006 | + | 0.0237843i | ||||
\(429\) | −3.37066 | + | 3.74350i | −0.162737 | + | 0.180738i | ||||
\(430\) | −12.2303 | − | 6.19969i | −0.589798 | − | 0.298976i | ||||
\(431\) | −1.35906 | − | 1.50939i | −0.0654636 | − | 0.0727047i | 0.709523 | − | 0.704682i | \(-0.248910\pi\) |
−0.774987 | + | 0.631977i | \(0.782244\pi\) | |||||||
\(432\) | −4.83589 | + | 2.79200i | −0.232667 | + | 0.134330i | ||||
\(433\) | 31.5673 | + | 10.2568i | 1.51703 | + | 0.492912i | 0.944930 | − | 0.327272i | \(-0.106129\pi\) |
0.572099 | + | 0.820185i | \(0.306129\pi\) | |||||||
\(434\) | −6.70157 | − | 5.34793i | −0.321686 | − | 0.256709i | ||||
\(435\) | 0.187493 | − | 0.705592i | 0.00898959 | − | 0.0338305i | ||||
\(436\) | 0.312642 | − | 2.97459i | 0.0149729 | − | 0.142457i | ||||
\(437\) | −6.55634 | + | 0.689099i | −0.313632 | + | 0.0329641i | ||||
\(438\) | 0.332716 | − | 0.0349698i | 0.0158978 | − | 0.00167092i | ||||
\(439\) | 1.24151 | − | 11.8122i | 0.0592540 | − | 0.563764i | −0.924111 | − | 0.382124i | \(-0.875193\pi\) |
0.983365 | − | 0.181640i | \(-0.0581406\pi\) | |||||||
\(440\) | 8.65216 | − | 32.5607i | 0.412476 | − | 1.55227i | ||||
\(441\) | 20.5257 | − | 2.45459i | 0.977414 | − | 0.116885i | ||||
\(442\) | −12.1153 | − | 3.93651i | −0.576268 | − | 0.187241i | ||||
\(443\) | 22.6341 | − | 13.0678i | 1.07538 | − | 0.620870i | 0.145732 | − | 0.989324i | \(-0.453446\pi\) |
0.929646 | + | 0.368454i | \(0.120113\pi\) | |||||||
\(444\) | 0.0604876 | + | 0.0671783i | 0.00287061 | + | 0.00318814i | ||||
\(445\) | −10.1307 | − | 5.13538i | −0.480242 | − | 0.243440i | ||||
\(446\) | 15.2490 | − | 16.9357i | 0.722060 | − | 0.801929i | ||||
\(447\) | 2.47146 | − | 0.803026i | 0.116896 | − | 0.0379818i | ||||
\(448\) | 17.6820 | + | 6.64280i | 0.835394 | + | 0.313843i | ||||
\(449\) | 13.4885 | 0.636560 | 0.318280 | − | 0.947997i | \(-0.396895\pi\) | ||||
0.318280 | + | 0.947997i | \(0.396895\pi\) | |||||||
\(450\) | −6.82800 | − | 20.7211i | −0.321875 | − | 0.976804i | ||||
\(451\) | −2.23977 | + | 3.87940i | −0.105467 | + | 0.182674i | ||||
\(452\) | 0.438393 | + | 0.984647i | 0.0206203 | + | 0.0463139i | ||||
\(453\) | 2.76524 | + | 2.48984i | 0.129922 | + | 0.116983i | ||||
\(454\) | 5.17282 | + | 15.9203i | 0.242772 | + | 0.747176i | ||||
\(455\) | 21.1267 | − | 12.4588i | 0.990435 | − | 0.584079i | ||||
\(456\) | −0.218366 | + | 0.672062i | −0.0102259 | + | 0.0314722i | ||||
\(457\) | −16.7954 | + | 9.69680i | −0.785653 | + | 0.453597i | −0.838430 | − | 0.545009i | \(-0.816526\pi\) |
0.0527767 | + | 0.998606i | \(0.483193\pi\) | |||||||
\(458\) | 5.12629 | − | 4.61574i | 0.239536 | − | 0.215679i | ||||
\(459\) | 0.280150 | + | 2.66545i | 0.0130763 | + | 0.124412i | ||||
\(460\) | −1.39395 | + | 1.72872i | −0.0649934 | + | 0.0806019i | ||||
\(461\) | −26.2530 | − | 19.0739i | −1.22272 | − | 0.888360i | −0.226399 | − | 0.974035i | \(-0.572695\pi\) |
−0.996323 | + | 0.0856749i | \(0.972695\pi\) | |||||||
\(462\) | 1.73391 | + | 4.42221i | 0.0806687 | + | 0.205740i | ||||
\(463\) | 6.72009 | + | 9.24941i | 0.312309 | + | 0.429857i | 0.936100 | − | 0.351735i | \(-0.114408\pi\) |
−0.623791 | + | 0.781592i | \(0.714408\pi\) | |||||||
\(464\) | 0.683056 | − | 6.49884i | 0.0317101 | − | 0.301701i | ||||
\(465\) | 0.168263 | + | 1.04828i | 0.00780303 | + | 0.0486127i | ||||
\(466\) | −0.837048 | − | 7.96398i | −0.0387755 | − | 0.368924i | ||||
\(467\) | 4.85706 | + | 22.8507i | 0.224758 | + | 1.05740i | 0.935329 | + | 0.353778i | \(0.115103\pi\) |
−0.710572 | + | 0.703625i | \(0.751564\pi\) | |||||||
\(468\) | 2.24266i | 0.103667i | ||||||||
\(469\) | −3.47122 | + | 5.42982i | −0.160286 | + | 0.250726i | ||||
\(470\) | 37.3988 | − | 14.4453i | 1.72508 | − | 0.666310i | ||||
\(471\) | −0.296845 | + | 0.329679i | −0.0136779 | + | 0.0151908i | ||||
\(472\) | −5.65356 | + | 26.5979i | −0.260226 | + | 1.22427i | ||||
\(473\) | 9.47434 | + | 21.2797i | 0.435631 | + | 0.978443i | ||||
\(474\) | 0.227663 | + | 0.394324i | 0.0104569 | + | 0.0181119i | ||||
\(475\) | −5.27779 | − | 3.01797i | −0.242162 | − | 0.138474i | ||||
\(476\) | −0.707556 | + | 0.717748i | −0.0324308 | + | 0.0328979i | ||||
\(477\) | −18.5972 | + | 25.5969i | −0.851509 | + | 1.17200i | ||||
\(478\) | 12.3301 | + | 11.1021i | 0.563967 | + | 0.507798i | ||||
\(479\) | 36.8065 | + | 7.82347i | 1.68173 | + | 0.357463i | 0.947084 | − | 0.320985i | \(-0.104014\pi\) |
0.734648 | + | 0.678448i | \(0.237347\pi\) | |||||||
\(480\) | 0.227956 | + | 0.445101i | 0.0104047 | + | 0.0203160i | ||||
\(481\) | −9.24397 | + | 1.96487i | −0.421489 | + | 0.0895902i | ||||
\(482\) | 33.9430i | 1.54606i | ||||||||
\(483\) | −0.140344 | + | 3.10219i | −0.00638585 | + | 0.141154i | ||||
\(484\) | 3.03825 | − | 2.20742i | 0.138102 | − | 0.100337i | ||||
\(485\) | 1.07568 | − | 21.3745i | 0.0488441 | − | 0.970568i | ||||
\(486\) | 7.72617 | − | 3.43991i | 0.350466 | − | 0.156038i | ||||
\(487\) | 8.94711 | − | 0.940379i | 0.405432 | − | 0.0426126i | 0.100382 | − | 0.994949i | \(-0.467993\pi\) |
0.305050 | + | 0.952336i | \(0.401327\pi\) | |||||||
\(488\) | −7.95577 | + | 17.8690i | −0.360141 | + | 0.808889i | ||||
\(489\) | 2.13343 | + | 1.55003i | 0.0964769 | + | 0.0700946i | ||||
\(490\) | −1.58848 | − | 23.0728i | −0.0717604 | − | 1.04232i | ||||
\(491\) | −14.8610 | + | 10.7971i | −0.670666 | + | 0.487267i | −0.870248 | − | 0.492614i | \(-0.836042\pi\) |
0.199582 | + | 0.979881i | \(0.436042\pi\) | |||||||
\(492\) | −0.00658040 | − | 0.0309584i | −0.000296668 | − | 0.00139571i | ||||
\(493\) | −2.71620 | − | 1.56820i | −0.122332 | − | 0.0706282i | ||||
\(494\) | 4.98398 | + | 5.53527i | 0.224240 | + | 0.249044i | ||||
\(495\) | −13.2101 | + | 34.6284i | −0.593751 | + | 1.55643i | ||||
\(496\) | 2.93653 | + | 9.03772i | 0.131854 | + | 0.405806i | ||||
\(497\) | −13.6200 | − | 20.6483i | −0.610942 | − | 0.926201i | ||||
\(498\) | −2.40840 | + | 3.31488i | −0.107923 | + | 0.148543i | ||||
\(499\) | −11.4708 | − | 19.8680i | −0.513502 | − | 0.889412i | −0.999877 | − | 0.0156617i | \(-0.995015\pi\) |
0.486375 | − | 0.873750i | \(-0.338319\pi\) | |||||||
\(500\) | −1.97488 | + | 0.542378i | −0.0883192 | + | 0.0242559i | ||||
\(501\) | 0.487455 | − | 0.844297i | 0.0217779 | − | 0.0377204i | ||||
\(502\) | 42.5537 | + | 4.47258i | 1.89927 | + | 0.199621i | ||||
\(503\) | −2.48353 | + | 0.806947i | −0.110735 | + | 0.0359800i | −0.363860 | − | 0.931453i | \(-0.618541\pi\) |
0.253125 | + | 0.967433i | \(0.418541\pi\) | |||||||
\(504\) | −18.7559 | − | 9.38829i | −0.835455 | − | 0.418188i | ||||
\(505\) | −24.2003 | − | 29.7583i | −1.07690 | − | 1.32423i | ||||
\(506\) | 43.9793 | − | 9.34809i | 1.95512 | − | 0.415573i | ||||
\(507\) | 0.785074 | + | 0.453263i | 0.0348664 | + | 0.0201301i | ||||
\(508\) | 1.71810 | − | 1.54698i | 0.0762283 | − | 0.0686363i | ||||
\(509\) | 9.26406 | + | 4.12463i | 0.410622 | + | 0.182821i | 0.601643 | − | 0.798765i | \(-0.294513\pi\) |
−0.191021 | + | 0.981586i | \(0.561180\pi\) | |||||||
\(510\) | 1.48524 | − | 0.0809317i | 0.0657674 | − | 0.00358372i | ||||
\(511\) | 1.75675 | + | 2.13797i | 0.0777142 | + | 0.0945782i | ||||
\(512\) | −11.0424 | − | 15.1986i | −0.488010 | − | 0.671688i | ||||
\(513\) | 0.637390 | − | 1.43160i | 0.0281415 | − | 0.0632068i | ||||
\(514\) | 32.8498 | − | 14.6257i | 1.44894 | − | 0.645110i | ||||
\(515\) | 5.21869 | − | 2.67272i | 0.229963 | − | 0.117774i | ||||
\(516\) | −0.150351 | − | 0.0669405i | −0.00661882 | − | 0.00294689i | ||||
\(517\) | −64.7735 | − | 21.0462i | −2.84874 | − | 0.925610i | ||||
\(518\) | −2.24481 | + | 8.62395i | −0.0986314 | + | 0.378915i | ||||
\(519\) | −1.67522 | + | 5.15579i | −0.0735339 | + | 0.226314i | ||||
\(520\) | −24.8541 | − | 1.25079i | −1.08992 | − | 0.0548507i | ||||
\(521\) | −26.7941 | − | 5.69525i | −1.17387 | − | 0.249514i | −0.420612 | − | 0.907240i | \(-0.638185\pi\) |
−0.753256 | + | 0.657727i | \(0.771518\pi\) | |||||||
\(522\) | −1.36823 | + | 6.43702i | −0.0598858 | + | 0.281741i | ||||
\(523\) | 1.75335 | + | 0.184284i | 0.0766685 | + | 0.00805819i | 0.142785 | − | 0.989754i | \(-0.454394\pi\) |
−0.0661165 | + | 0.997812i | \(0.521061\pi\) | |||||||
\(524\) | −0.623062 | −0.0272186 | ||||||||
\(525\) | −1.77700 | + | 2.24586i | −0.0775548 | + | 0.0980174i | ||||
\(526\) | −6.50219 | −0.283509 | ||||||||
\(527\) | 4.53604 | + | 0.476757i | 0.197593 | + | 0.0207679i | ||||
\(528\) | 1.09458 | − | 5.14958i | 0.0476354 | − | 0.224107i | ||||
\(529\) | 6.25463 | + | 1.32946i | 0.271940 | + | 0.0578027i | ||||
\(530\) | 27.5555 | + | 22.2194i | 1.19693 | + | 0.965149i | ||||
\(531\) | 9.24382 | − | 28.4496i | 0.401148 | − | 1.23461i | ||||
\(532\) | 0.568119 | − | 0.156590i | 0.0246311 | − | 0.00678902i | ||||
\(533\) | 3.14687 | + | 1.02248i | 0.136306 | + | 0.0442885i | ||||
\(534\) | −1.48430 | − | 0.660853i | −0.0642320 | − | 0.0285979i | ||||
\(535\) | 3.08056 | + | 19.1918i | 0.133184 | + | 0.829734i | ||||
\(536\) | 5.97353 | − | 2.65959i | 0.258017 | − | 0.114877i | ||||
\(537\) | −0.576966 | + | 1.29589i | −0.0248979 | + | 0.0559216i | ||||
\(538\) | −16.9689 | − | 23.3557i | −0.731583 | − | 1.00694i | ||||
\(539\) | −22.6363 | + | 32.1121i | −0.975014 | + | 1.38316i | ||||
\(540\) | −0.190199 | − | 0.492427i | −0.00818488 | − | 0.0211907i | ||||
\(541\) | −25.4091 | − | 11.3129i | −1.09242 | − | 0.486378i | −0.220184 | − | 0.975458i | \(-0.570666\pi\) |
−0.872239 | + | 0.489080i | \(0.837333\pi\) | |||||||
\(542\) | 24.9070 | − | 22.4263i | 1.06985 | − | 0.963294i | ||||
\(543\) | 3.70228 | + | 2.13751i | 0.158880 | + | 0.0917295i | ||||
\(544\) | 2.10138 | − | 0.446663i | 0.0900961 | − | 0.0191505i | ||||
\(545\) | −35.2864 | − | 9.37645i | −1.51150 | − | 0.401643i | ||||
\(546\) | 2.92880 | − | 1.93190i | 0.125341 | − | 0.0826776i | ||||
\(547\) | 16.6559 | − | 5.41183i | 0.712154 | − | 0.231393i | 0.0695360 | − | 0.997579i | \(-0.477848\pi\) |
0.642618 | + | 0.766186i | \(0.277848\pi\) | |||||||
\(548\) | 2.48612 | + | 0.261302i | 0.106202 | + | 0.0111623i | ||||
\(549\) | 10.7588 | − | 18.6348i | 0.459176 | − | 0.795316i | ||||
\(550\) | 37.9499 | + | 16.7078i | 1.61819 | + | 0.712425i | ||||
\(551\) | 0.916934 | + | 1.58818i | 0.0390627 | + | 0.0676586i | ||||
\(552\) | 1.85199 | − | 2.54905i | 0.0788259 | − | 0.108495i | ||||
\(553\) | −1.68575 | + | 3.36779i | −0.0716855 | + | 0.143213i | ||||
\(554\) | −3.91724 | − | 12.0560i | −0.166428 | − | 0.512212i | ||||
\(555\) | 0.924207 | − | 0.602920i | 0.0392304 | − | 0.0255925i | ||||
\(556\) | −0.847232 | − | 0.940946i | −0.0359306 | − | 0.0399050i | ||||
\(557\) | 5.64693 | + | 3.26026i | 0.239268 | + | 0.138141i | 0.614840 | − | 0.788652i | \(-0.289220\pi\) |
−0.375572 | + | 0.926793i | \(0.622554\pi\) | |||||||
\(558\) | −1.98971 | − | 9.36086i | −0.0842313 | − | 0.396277i | ||||
\(559\) | 13.9198 | − | 10.1133i | 0.588743 | − | 0.427747i | ||||
\(560\) | −12.6112 | + | 22.3163i | −0.532921 | + | 0.943037i | ||||
\(561\) | −2.04426 | − | 1.48524i | −0.0863085 | − | 0.0627068i | ||||
\(562\) | 5.16544 | − | 11.6018i | 0.217891 | − | 0.489391i | ||||
\(563\) | 13.8252 | − | 1.45309i | 0.582663 | − | 0.0612403i | 0.191388 | − | 0.981514i | \(-0.438701\pi\) |
0.391274 | + | 0.920274i | \(0.372034\pi\) | |||||||
\(564\) | 0.439603 | − | 0.195724i | 0.0185106 | − | 0.00824146i | ||||
\(565\) | 12.7017 | − | 3.43169i | 0.534363 | − | 0.144372i | ||||
\(566\) | −18.6344 | + | 13.5387i | −0.783264 | + | 0.569074i | ||||
\(567\) | 19.1271 | + | 12.2277i | 0.803262 | + | 0.513516i | ||||
\(568\) | 25.0976i | 1.05307i | ||||||||
\(569\) | 22.9067 | − | 4.86896i | 0.960297 | − | 0.204117i | 0.299010 | − | 0.954250i | \(-0.403344\pi\) |
0.661287 | + | 0.750133i | \(0.270010\pi\) | |||||||
\(570\) | −0.775739 | − | 0.393231i | −0.0324921 | − | 0.0164706i | ||||
\(571\) | 15.5857 | + | 3.31283i | 0.652239 | + | 0.138638i | 0.522135 | − | 0.852863i | \(-0.325136\pi\) |
0.130104 | + | 0.991500i | \(0.458469\pi\) | |||||||
\(572\) | −3.16754 | − | 2.85207i | −0.132441 | − | 0.119251i | ||||
\(573\) | −1.94136 | + | 2.67205i | −0.0811013 | + | 0.111626i | ||||
\(574\) | 2.19037 | − | 2.22192i | 0.0914243 | − | 0.0927412i | ||||
\(575\) | 18.2225 | + | 20.0699i | 0.759931 | + | 0.836971i | ||||
\(576\) | 10.5415 | + | 18.2585i | 0.439230 | + | 0.760769i | ||||
\(577\) | 5.28934 | + | 11.8801i | 0.220198 | + | 0.494573i | 0.989539 | − | 0.144265i | \(-0.0460819\pi\) |
−0.769341 | + | 0.638838i | \(0.779415\pi\) | |||||||
\(578\) | −3.89387 | + | 18.3192i | −0.161964 | + | 0.761978i | ||||
\(579\) | 0.497457 | − | 0.552482i | 0.0206736 | − | 0.0229604i | ||||
\(580\) | 0.597032 | + | 0.158646i | 0.0247904 | + | 0.00658742i | ||||
\(581\) | −33.8563 | − | 1.53166i | −1.40459 | − | 0.0635441i | ||||
\(582\) | − | 3.06152i | − | 0.126904i | ||||||
\(583\) | −12.5024 | − | 58.8191i | −0.517796 | − | 2.43604i | ||||
\(584\) | −0.293477 | − | 2.79225i | −0.0121442 | − | 0.115544i | ||||
\(585\) | 27.0480 | + | 4.22642i | 1.11830 | + | 0.174741i | ||||
\(586\) | −5.14236 | + | 48.9263i | −0.212429 | + | 2.02113i | ||||
\(587\) | −5.38345 | − | 7.40968i | −0.222199 | − | 0.305830i | 0.683335 | − | 0.730105i | \(-0.260529\pi\) |
−0.905533 | + | 0.424275i | \(0.860529\pi\) | |||||||
\(588\) | −0.0329611 | − | 0.275627i | −0.00135929 | − | 0.0113667i | ||||
\(589\) | −2.15753 | − | 1.56754i | −0.0888994 | − | 0.0645892i | ||||
\(590\) | −31.2689 | − | 11.9286i | −1.28732 | − | 0.491091i | ||||
\(591\) | 0.181071 | + | 1.72278i | 0.00744828 | + | 0.0708656i | ||||
\(592\) | 7.33991 | − | 6.60889i | 0.301669 | − | 0.271624i | ||||
\(593\) | −5.02610 | + | 2.90182i | −0.206397 | + | 0.119164i | −0.599636 | − | 0.800273i | \(-0.704688\pi\) |
0.393239 | + | 0.919436i | \(0.371355\pi\) | |||||||
\(594\) | −3.30272 | + | 10.1647i | −0.135512 | + | 0.417063i | ||||
\(595\) | 7.32309 | + | 9.88623i | 0.300217 | + | 0.405296i | ||||
\(596\) | 0.679476 | + | 2.09121i | 0.0278324 | + | 0.0856594i | ||||
\(597\) | 3.09042 | + | 2.78263i | 0.126483 | + | 0.113886i | ||||
\(598\) | −13.5081 | − | 30.3398i | −0.552389 | − | 1.24069i | ||||
\(599\) | −19.9061 | + | 34.4783i | −0.813339 | + | 1.40874i | 0.0971751 | + | 0.995267i | \(0.469019\pi\) |
−0.910514 | + | 0.413478i | \(0.864314\pi\) | |||||||
\(600\) | 2.75978 | − | 0.909398i | 0.112667 | − | 0.0371260i | ||||
\(601\) | −28.7332 | −1.17205 | −0.586025 | − | 0.810293i | \(-0.699308\pi\) | ||||
−0.586025 | + | 0.810293i | \(0.699308\pi\) | |||||||
\(602\) | −2.65254 | − | 16.0059i | −0.108109 | − | 0.652350i | ||||
\(603\) | −6.84122 | + | 2.22285i | −0.278596 | + | 0.0905213i | ||||
\(604\) | −2.10676 | + | 2.33980i | −0.0857229 | + | 0.0952049i | ||||
\(605\) | −20.8972 | − | 40.8034i | −0.849593 | − | 1.65889i | ||||
\(606\) | −3.67146 | − | 4.07757i | −0.149143 | − | 0.165640i | ||||
\(607\) | 20.8424 | − | 12.0334i | 0.845966 | − | 0.488419i | −0.0133215 | − | 0.999911i | \(-0.504240\pi\) |
0.859288 | + | 0.511492i | \(0.170907\pi\) | |||||||
\(608\) | −1.19466 | − | 0.388168i | −0.0484498 | − | 0.0157423i | ||||
\(609\) | 0.804229 | − | 0.315331i | 0.0325890 | − | 0.0127779i | ||||
\(610\) | −20.2170 | − | 13.0695i | −0.818564 | − | 0.529168i | ||||
\(611\) | −5.25852 | + | 50.0315i | −0.212737 | + | 2.02406i | ||||
\(612\) | −1.11880 | + | 0.117591i | −0.0452248 | + | 0.00475332i | ||||
\(613\) | −47.9217 | + | 5.03677i | −1.93554 | + | 0.203433i | −0.991851 | − | 0.127403i | \(-0.959336\pi\) |
−0.943688 | + | 0.330836i | \(0.892669\pi\) | |||||||
\(614\) | −2.22093 | + | 21.1307i | −0.0896294 | + | 0.852766i | ||||
\(615\) | −0.385780 | + | 0.0210214i | −0.0155561 | + | 0.000847665i | ||||
\(616\) | 37.1125 | − | 14.5515i | 1.49530 | − | 0.586295i | ||||
\(617\) | 10.7299 | + | 3.48636i | 0.431970 | + | 0.140356i | 0.516928 | − | 0.856029i | \(-0.327076\pi\) |
−0.0849578 | + | 0.996385i | \(0.527076\pi\) | |||||||
\(618\) | 0.726378 | − | 0.419374i | 0.0292192 | − | 0.0168697i | ||||
\(619\) | −7.15393 | − | 7.94525i | −0.287541 | − | 0.319346i | 0.582018 | − | 0.813176i | \(-0.302263\pi\) |
−0.869559 | + | 0.493830i | \(0.835597\pi\) | |||||||
\(620\) | −0.886994 | + | 0.142375i | −0.0356225 | + | 0.00571792i | ||||
\(621\) | −4.67541 | + | 5.19257i | −0.187618 | + | 0.208371i | ||||
\(622\) | 35.2376 | − | 11.4494i | 1.41290 | − | 0.459079i | ||||
\(623\) | −2.19717 | − | 13.2581i | −0.0880278 | − | 0.531175i | ||||
\(624\) | −3.88871 | −0.155673 | ||||||||
\(625\) | 2.81969 | + | 24.8405i | 0.112787 | + | 0.993619i | ||||
\(626\) | −3.38913 | + | 5.87014i | −0.135457 | + | 0.234618i | ||||
\(627\) | 0.600934 | + | 1.34972i | 0.0239990 | + | 0.0539026i | ||||
\(628\) | −0.278956 | − | 0.251174i | −0.0111316 | − | 0.0100229i | ||||
\(629\) | −1.46491 | − | 4.50852i | −0.0584096 | − | 0.179766i | ||||
\(630\) | 14.9800 | − | 21.0234i | 0.596816 | − | 0.837592i | ||||
\(631\) | −0.869142 | + | 2.67494i | −0.0346000 | + | 0.106488i | −0.966865 | − | 0.255288i | \(-0.917830\pi\) |
0.932265 | + | 0.361776i | \(0.117830\pi\) | |||||||
\(632\) | 3.30929 | − | 1.91062i | 0.131636 | − | 0.0760003i | ||||
\(633\) | 3.05258 | − | 2.74855i | 0.121329 | − | 0.109245i | ||||
\(634\) | 2.87238 | + | 27.3289i | 0.114077 | + | 1.08537i | ||||
\(635\) | −15.4198 | − | 23.6368i | −0.611916 | − | 0.937997i | ||||
\(636\) | 0.343725 | + | 0.249731i | 0.0136296 | + | 0.00990248i | ||||
\(637\) | 26.6776 | + | 11.4233i | 1.05700 | + | 0.452609i | ||||
\(638\) | −7.35163 | − | 10.1186i | −0.291054 | − | 0.400601i | ||||
\(639\) | 2.88598 | − | 27.4583i | 0.114168 | − | 1.08623i | ||||
\(640\) | 25.1063 | − | 12.8580i | 0.992413 | − | 0.508259i | ||||
\(641\) | −1.96530 | − | 18.6986i | −0.0776246 | − | 0.738549i | −0.962235 | − | 0.272219i | \(-0.912243\pi\) |
0.884611 | − | 0.466330i | \(-0.154424\pi\) | |||||||
\(642\) | 0.578109 | + | 2.71979i | 0.0228161 | + | 0.107341i | ||||
\(643\) | 11.4582i | 0.451866i | 0.974143 | + | 0.225933i | \(0.0725430\pi\) | ||||
−0.974143 | + | 0.225933i | \(0.927457\pi\) | |||||||
\(644\) | −2.62490 | − | 0.118751i | −0.103436 | − | 0.00467944i | ||||
\(645\) | −1.09069 | + | 1.68718i | −0.0429459 | + | 0.0664325i | ||||
\(646\) | −2.50006 | + | 2.77659i | −0.0983634 | + | 0.109244i | ||||
\(647\) | −4.26796 | + | 20.0792i | −0.167791 | + | 0.789393i | 0.811084 | + | 0.584930i | \(0.198878\pi\) |
−0.978874 | + | 0.204463i | \(0.934455\pi\) | |||||||
\(648\) | −9.36866 | − | 21.0424i | −0.368036 | − | 0.826622i | ||||
\(649\) | 28.4265 | + | 49.2361i | 1.11584 | + | 1.93269i | ||||
\(650\) | 6.24344 | − | 29.9850i | 0.244888 | − | 1.17611i | ||||
\(651\) | −0.881904 | + | 0.894607i | −0.0345645 | + | 0.0350624i | ||||
\(652\) | −1.31155 | + | 1.80519i | −0.0513641 | + | 0.0706966i | ||||
\(653\) | −14.2614 | − | 12.8411i | −0.558093 | − | 0.502510i | 0.341120 | − | 0.940020i | \(-0.389194\pi\) |
−0.899213 | + | 0.437510i | \(0.855860\pi\) | |||||||
\(654\) | −5.10879 | − | 1.08591i | −0.199769 | − | 0.0424623i | ||||
\(655\) | −1.17419 | + | 7.51454i | −0.0458795 | + | 0.293618i | ||||
\(656\) | −3.38252 | + | 0.718977i | −0.132065 | + | 0.0280713i | ||||
\(657\) | 3.08863i | 0.120499i | ||||||||
\(658\) | 39.9678 | + | 25.5509i | 1.55811 | + | 0.996079i | ||||
\(659\) | −5.15208 | + | 3.74321i | −0.200697 | + | 0.145815i | −0.683594 | − | 0.729862i | \(-0.739584\pi\) |
0.482898 | + | 0.875677i | \(0.339584\pi\) | |||||||
\(660\) | 0.465003 | + | 0.177391i | 0.0181002 | + | 0.00690493i | ||||
\(661\) | 28.2417 | − | 12.5740i | 1.09847 | − | 0.489072i | 0.224218 | − | 0.974539i | \(-0.428017\pi\) |
0.874255 | + | 0.485467i | \(0.161350\pi\) | |||||||
\(662\) | −31.5469 | + | 3.31571i | −1.22610 | + | 0.128869i | ||||
\(663\) | −0.759153 | + | 1.70508i | −0.0294830 | + | 0.0662200i | ||||
\(664\) | 27.8194 | + | 20.2120i | 1.07960 | + | 0.784378i | ||||
\(665\) | −0.817925 | − | 7.14700i | −0.0317178 | − | 0.277149i | ||||
\(666\) | −8.04700 | + | 5.84649i | −0.311815 | + | 0.226547i | ||||
\(667\) | −1.70006 | − | 7.99814i | −0.0658265 | − | 0.309689i | ||||
\(668\) | 0.714397 | + | 0.412458i | 0.0276409 | + | 0.0159585i | ||||
\(669\) | −2.23423 | − | 2.48136i | −0.0863802 | − | 0.0959349i | ||||
\(670\) | 2.09905 | + | 7.76918i | 0.0810934 | + | 0.300149i | ||||
\(671\) | 12.6375 | + | 38.8943i | 0.487866 | + | 1.50150i | ||||
\(672\) | −0.264850 | + | 0.529117i | −0.0102168 | + | 0.0204111i | ||||
\(673\) | −7.82867 | + | 10.7752i | −0.301773 | + | 0.415355i | −0.932794 | − | 0.360411i | \(-0.882636\pi\) |
0.631021 | + | 0.775766i | \(0.282636\pi\) | |||||||
\(674\) | −3.79217 | − | 6.56823i | −0.146069 | − | 0.252999i | ||||
\(675\) | −6.29744 | + | 1.36593i | −0.242388 | + | 0.0525746i | ||||
\(676\) | −0.383526 | + | 0.664286i | −0.0147510 | + | 0.0255495i | ||||
\(677\) | −38.3347 | − | 4.02914i | −1.47332 | − | 0.154852i | −0.666437 | − | 0.745561i | \(-0.732182\pi\) |
−0.806885 | + | 0.590709i | \(0.798848\pi\) | |||||||
\(678\) | 1.79002 | − | 0.581611i | 0.0687451 | − | 0.0223366i | ||||
\(679\) | 21.1382 | − | 13.9432i | 0.811211 | − | 0.535092i | ||||
\(680\) | −0.679203 | − | 12.4646i | −0.0260463 | − | 0.477994i | ||||
\(681\) | 2.39903 | − | 0.509930i | 0.0919310 | − | 0.0195405i | ||||
\(682\) | 15.7517 | + | 9.09422i | 0.603162 | + | 0.348236i | ||||
\(683\) | 21.1741 | − | 19.0652i | 0.810203 | − | 0.729510i | −0.155870 | − | 0.987778i | \(-0.549818\pi\) |
0.966074 | + | 0.258267i | \(0.0831515\pi\) | |||||||
\(684\) | 0.600903 | + | 0.267539i | 0.0229761 | + | 0.0102296i | ||||
\(685\) | 7.83669 | − | 29.4918i | 0.299425 | − | 1.12682i | ||||
\(686\) | 20.8921 | − | 17.6734i | 0.797665 | − | 0.674774i | ||||
\(687\) | −0.594067 | − | 0.817663i | −0.0226651 | − | 0.0311958i | ||||
\(688\) | −7.31393 | + | 16.4274i | −0.278841 | + | 0.626287i | ||||
\(689\) | −40.5773 | + | 18.0662i | −1.54587 | + | 0.688266i | ||||
\(690\) | 2.74776 | + | 2.73636i | 0.104605 | + | 0.104172i | ||||
\(691\) | 2.06003 | + | 0.917186i | 0.0783674 | + | 0.0348914i | 0.445546 | − | 0.895259i | \(-0.353010\pi\) |
−0.367179 | + | 0.930150i | \(0.619676\pi\) | |||||||
\(692\) | −4.36254 | − | 1.41748i | −0.165839 | − | 0.0538844i | ||||
\(693\) | −42.2765 | + | 11.6526i | −1.60595 | + | 0.442645i | ||||
\(694\) | 2.75357 | − | 8.47461i | 0.104524 | − | 0.321692i | ||||
\(695\) | −12.9451 | + | 8.44491i | −0.491035 | + | 0.320334i | ||||
\(696\) | −0.857324 | − | 0.182230i | −0.0324968 | − | 0.00690741i | ||||
\(697\) | −0.345084 | + | 1.62349i | −0.0130710 | + | 0.0614942i | ||||
\(698\) | 7.18981 | + | 0.755679i | 0.272138 | + | 0.0286029i | ||||
\(699\) | −1.17328 | −0.0443776 | ||||||||
\(700\) | −1.90032 | − | 1.50360i | −0.0718254 | − | 0.0568308i | ||||
\(701\) | −24.2781 | −0.916972 | −0.458486 | − | 0.888702i | \(-0.651608\pi\) | ||||
−0.458486 | + | 0.888702i | \(0.651608\pi\) | |||||||
\(702\) | 7.85130 | + | 0.825205i | 0.296328 | + | 0.0311453i | ||||
\(703\) | −0.576292 | + | 2.71124i | −0.0217353 | + | 0.102256i | ||||
\(704\) | −39.1942 | − | 8.33099i | −1.47719 | − | 0.313986i | ||||
\(705\) | −1.53211 | − | 5.67076i | −0.0577024 | − | 0.213573i | ||||
\(706\) | 10.7100 | − | 32.9621i | 0.403078 | − | 1.24055i | ||||
\(707\) | 11.4324 | − | 43.9203i | 0.429961 | − | 1.65179i | ||||
\(708\) | −0.382032 | − | 0.124130i | −0.0143576 | − | 0.00466508i | ||||
\(709\) | 1.40955 | + | 0.627572i | 0.0529367 | + | 0.0235689i | 0.433034 | − | 0.901377i | \(-0.357443\pi\) |
−0.380098 | + | 0.924946i | \(0.624110\pi\) | |||||||
\(710\) | −30.5188 | − | 4.76874i | −1.14535 | − | 0.178968i | ||||
\(711\) | −3.84026 | + | 1.70979i | −0.144021 | + | 0.0641222i | ||||
\(712\) | −5.54608 | + | 12.4567i | −0.207848 | + | 0.466834i | ||||
\(713\) | 6.98931 | + | 9.61996i | 0.261752 | + | 0.360270i | ||||
\(714\) | 1.11733 | + | 1.35979i | 0.0418151 | + | 0.0508890i | ||||
\(715\) | −40.3672 | + | 32.8278i | −1.50965 | + | 1.22769i | ||||
\(716\) | −1.09651 | − | 0.488196i | −0.0409784 | − | 0.0182448i | ||||
\(717\) | 1.80657 | − | 1.62664i | 0.0674675 | − | 0.0607480i | ||||
\(718\) | −31.4563 | − | 18.1613i | −1.17394 | − | 0.677773i | ||||
\(719\) | −9.05405 | + | 1.92450i | −0.337659 | + | 0.0717717i | −0.373621 | − | 0.927582i | \(-0.621884\pi\) |
0.0359617 | + | 0.999353i | \(0.488551\pi\) | |||||||
\(720\) | −26.6896 | + | 10.3088i | −0.994661 | + | 0.384187i | ||||
\(721\) | 6.20375 | + | 3.10529i | 0.231040 | + | 0.115647i | ||||
\(722\) | −24.6219 | + | 8.00014i | −0.916332 | + | 0.297734i | ||||
\(723\) | 4.94597 | + | 0.519843i | 0.183943 | + | 0.0193332i | ||||
\(724\) | −1.80865 | + | 3.13267i | −0.0672178 | + | 0.116425i | ||||
\(725\) | 3.03851 | − | 6.90163i | 0.112848 | − | 0.256320i | ||||
\(726\) | −3.27896 | − | 5.67933i | −0.121694 | − | 0.210780i | ||||
\(727\) | −10.0334 | + | 13.8097i | −0.372117 | + | 0.512174i | −0.953475 | − | 0.301473i | \(-0.902522\pi\) |
0.581358 | + | 0.813648i | \(0.302522\pi\) | |||||||
\(728\) | −16.2131 | − | 24.5793i | −0.600896 | − | 0.910971i | ||||
\(729\) | 7.57155 | + | 23.3028i | 0.280428 | + | 0.863068i | ||||
\(730\) | 3.45115 | + | 0.173680i | 0.127733 | + | 0.00642818i | ||||
\(731\) | 5.77509 | + | 6.41388i | 0.213599 | + | 0.237226i | ||||
\(732\) | −0.250236 | − | 0.144474i | −0.00924898 | − | 0.00533990i | ||||
\(733\) | 5.31837 | + | 25.0210i | 0.196438 | + | 0.924170i | 0.960339 | + | 0.278836i | \(0.0899486\pi\) |
−0.763900 | + | 0.645334i | \(0.776718\pi\) | |||||||
\(734\) | −15.9236 | + | 11.5692i | −0.587750 | + | 0.427025i | ||||
\(735\) | −3.38636 | − | 0.121900i | −0.124908 | − | 0.00449634i | ||||
\(736\) | 4.53119 | + | 3.29210i | 0.167022 | + | 0.121348i | ||||
\(737\) | 5.56064 | − | 12.4894i | 0.204829 | − | 0.460053i | ||||
\(738\) | 3.46345 | − | 0.364023i | 0.127491 | − | 0.0133999i | ||||
\(739\) | 8.12133 | − | 3.61585i | 0.298748 | − | 0.133011i | −0.251889 | − | 0.967756i | \(-0.581052\pi\) |
0.550637 | + | 0.834745i | \(0.314385\pi\) | |||||||
\(740\) | 0.510157 | + | 0.782012i | 0.0187537 | + | 0.0287473i | ||||
\(741\) | 0.882896 | − | 0.641462i | 0.0324340 | − | 0.0235647i | ||||
\(742\) | −1.89287 | + | 41.8405i | −0.0694894 | + | 1.53601i | ||||
\(743\) | − | 10.8215i | − | 0.397001i | −0.980101 | − | 0.198500i | \(-0.936393\pi\) | ||
0.980101 | − | 0.198500i | \(-0.0636071\pi\) | |||||||
\(744\) | 1.24674 | − | 0.265003i | 0.0457077 | − | 0.00971548i | ||||
\(745\) | 26.5019 | − | 4.25394i | 0.970955 | − | 0.155852i | ||||
\(746\) | 15.7955 | + | 3.35744i | 0.578314 | + | 0.122924i | ||||
\(747\) | −28.1119 | − | 25.3121i | −1.02856 | − | 0.926121i | ||||
\(748\) | 1.25673 | − | 1.72974i | 0.0459505 | − | 0.0632454i | ||||
\(749\) | −16.1459 | + | 16.3784i | −0.589957 | + | 0.598455i | ||||
\(750\) | 0.581451 | + | 3.52869i | 0.0212316 | + | 0.128850i | ||||
\(751\) | −1.41194 | − | 2.44556i | −0.0515226 | − | 0.0892397i | 0.839114 | − | 0.543956i | \(-0.183074\pi\) |
−0.890636 | + | 0.454716i | \(0.849741\pi\) | |||||||
\(752\) | −21.3848 | − | 48.0311i | −0.779825 | − | 1.75152i | ||||
\(753\) | 1.30343 | − | 6.13217i | 0.0474997 | − | 0.223469i | ||||
\(754\) | −6.18179 | + | 6.86557i | −0.225127 | + | 0.250029i | ||||
\(755\) | 24.2492 | + | 29.8184i | 0.882518 | + | 1.08520i | ||||
\(756\) | 0.336427 | − | 0.526252i | 0.0122357 | − | 0.0191396i | ||||
\(757\) | 8.68622i | 0.315706i | 0.987463 | + | 0.157853i | \(0.0504572\pi\) | ||||
−0.987463 | + | 0.157853i | \(0.949543\pi\) | |||||||
\(758\) | 6.08666 | + | 28.6355i | 0.221077 | + | 1.04009i | ||||
\(759\) | −0.688597 | − | 6.55156i | −0.0249945 | − | 0.237807i | ||||
\(760\) | −3.30011 | + | 6.51023i | −0.119708 | + | 0.236151i | ||||
\(761\) | 0.824911 | − | 7.84850i | 0.0299030 | − | 0.284508i | −0.969344 | − | 0.245708i | \(-0.920980\pi\) |
0.999247 | − | 0.0388004i | \(-0.0123536\pi\) | |||||||
\(762\) | −2.37298 | − | 3.26612i | −0.0859639 | − | 0.118319i | ||||
\(763\) | −15.7696 | − | 40.2192i | −0.570897 | − | 1.45603i | ||||
\(764\) | −2.26094 | − | 1.64267i | −0.0817979 | − | 0.0594297i | ||||
\(765\) | −0.690214 | + | 13.7151i | −0.0249547 | + | 0.495869i | ||||
\(766\) | 1.60083 | + | 15.2309i | 0.0578405 | + | 0.550315i | ||||
\(767\) | 31.2079 | − | 28.0998i | 1.12685 | − | 1.01462i | ||||
\(768\) | 0.817528 | − | 0.472000i | 0.0295000 | − | 0.0170318i | ||||
\(769\) | 12.2384 | − | 37.6658i | 0.441327 | − | 1.35826i | −0.445136 | − | 0.895463i | \(-0.646845\pi\) |
0.886462 | − | 0.462800i | \(-0.153155\pi\) | |||||||
\(770\) | 10.6430 | + | 47.8938i | 0.383546 | + | 1.72597i | ||||
\(771\) | −1.62806 | − | 5.01066i | −0.0586333 | − | 0.180455i | ||||
\(772\) | 0.467480 | + | 0.420920i | 0.0168250 | + | 0.0151493i | ||||
\(773\) | 5.79731 | + | 13.0210i | 0.208515 | + | 0.468332i | 0.987282 | − | 0.158982i | \(-0.0508211\pi\) |
−0.778767 | + | 0.627314i | \(0.784154\pi\) | |||||||
\(774\) | 9.05454 | − | 15.6829i | 0.325459 | − | 0.563711i | ||||
\(775\) | 0.0455542 | + | 10.9660i | 0.00163635 | + | 0.393912i | ||||
\(776\) | −25.6932 | −0.922331 | ||||||||
\(777\) | 1.22225 | + | 0.459177i | 0.0438480 | + | 0.0164729i | ||||
\(778\) | −9.47741 | + | 3.07940i | −0.339782 | + | 0.110402i | ||||
\(779\) | 0.649371 | − | 0.721200i | 0.0232661 | − | 0.0258397i | ||||
\(780\) | 0.0567539 | − | 0.363211i | 0.00203212 | − | 0.0130050i | ||||
\(781\) | 35.1118 | + | 38.9957i | 1.25640 | + | 1.39537i | ||||
\(782\) | 14.4273 | − | 8.32963i | 0.515921 | − | 0.297867i | ||||
\(783\) | 1.84857 | + | 0.600637i | 0.0660625 | + | 0.0214650i | ||||
\(784\) | −30.1151 | + | 3.60134i | −1.07554 | + | 0.128619i | ||||
\(785\) | −3.55503 | + | 2.89105i | −0.126884 | + | 0.103186i | ||||
\(786\) | −0.113728 | + | 1.08205i | −0.00405653 | + | 0.0385953i | ||||
\(787\) | 52.2040 | − | 5.48686i | 1.86087 | − | 0.195585i | 0.893520 | − | 0.449024i | \(-0.148228\pi\) |
0.967351 | + | 0.253439i | \(0.0815617\pi\) | |||||||
\(788\) | −1.45772 | + | 0.153212i | −0.0519291 | + | 0.00545797i | ||||
\(789\) | −0.0995820 | + | 0.947459i | −0.00354521 | + | 0.0337304i | ||||
\(790\) | 1.69453 | + | 4.38714i | 0.0602886 | + | 0.156087i | ||||
\(791\) | 12.1681 | + | 9.71029i | 0.432648 | + | 0.345258i | ||||
\(792\) | 42.3169 | + | 13.7496i | 1.50366 | + | 0.488570i | ||||
\(793\) | 26.1606 | − | 15.1039i | 0.928991 | − | 0.536353i | ||||
\(794\) | −13.4088 | − | 14.8920i | −0.475860 | − | 0.528496i | ||||
\(795\) | 3.65969 | − | 3.67492i | 0.129796 | − | 0.130336i | ||||
\(796\) | −2.35451 | + | 2.61495i | −0.0834533 | + | 0.0926843i | ||||
\(797\) | 10.3756 | − | 3.37124i | 0.367523 | − | 0.119415i | −0.119432 | − | 0.992842i | \(-0.538107\pi\) |
0.486955 | + | 0.873427i | \(0.338107\pi\) | |||||||
\(798\) | −0.168244 | − | 1.01521i | −0.00595577 | − | 0.0359381i | ||||
\(799\) | −25.2350 | −0.892749 | ||||||||
\(800\) | 1.61655 | + | 4.90578i | 0.0571535 | + | 0.173446i | ||||
\(801\) | 7.50013 | − | 12.9906i | 0.265004 | − | 0.459001i | ||||
\(802\) | 3.25896 | + | 7.31975i | 0.115078 | + | 0.258469i | ||||
\(803\) | −4.36238 | − | 3.92791i | −0.153945 | − | 0.138613i | ||||
\(804\) | 0.0298492 | + | 0.0918665i | 0.00105270 | + | 0.00323988i | ||||
\(805\) | −6.37897 | + | 31.4342i | −0.224829 | + | 1.10791i | ||||
\(806\) | 4.15161 | − | 12.7773i | 0.146234 | − | 0.450062i | ||||
\(807\) | −3.66314 | + | 2.11491i | −0.128948 | + | 0.0744485i | ||||
\(808\) | −34.2202 | + | 30.8120i | −1.20386 | + | 1.08396i | ||||
\(809\) | 1.03588 | + | 9.85574i | 0.0364196 | + | 0.346510i | 0.997524 | + | 0.0703247i | \(0.0224035\pi\) |
−0.961105 | + | 0.276185i | \(0.910930\pi\) | |||||||
\(810\) | 27.3677 | − | 7.39411i | 0.961603 | − | 0.259803i | ||||
\(811\) | −6.80591 | − | 4.94478i | −0.238988 | − | 0.173635i | 0.461844 | − | 0.886961i | \(-0.347188\pi\) |
−0.700832 | + | 0.713326i | \(0.747188\pi\) | |||||||
\(812\) | 0.266816 | + | 0.680494i | 0.00936339 | + | 0.0238807i | ||||
\(813\) | −2.88637 | − | 3.97275i | −0.101230 | − | 0.139331i | ||||
\(814\) | 1.97604 | − | 18.8007i | 0.0692601 | − | 0.658965i | ||||
\(815\) | 19.3001 | + | 19.2201i | 0.676052 | + | 0.673250i | ||||
\(816\) | −0.203898 | − | 1.93996i | −0.00713787 | − | 0.0679123i | ||||
\(817\) | −1.04921 | − | 4.93615i | −0.0367072 | − | 0.172694i | ||||
\(818\) | 7.22290i | 0.252543i | ||||||||
\(819\) | 14.9117 | + | 28.7556i | 0.521055 | + | 1.00480i | ||||
\(820\) | −0.0177872 | − | 0.326425i | −0.000621154 | − | 0.0113993i | ||||
\(821\) | −23.7986 | + | 26.4311i | −0.830578 | + | 0.922450i | −0.997986 | − | 0.0634374i | \(-0.979794\pi\) |
0.167408 | + | 0.985888i | \(0.446460\pi\) | |||||||
\(822\) | 0.907584 | − | 4.26985i | 0.0316556 | − | 0.148928i | ||||
\(823\) | −15.2354 | − | 34.2193i | −0.531073 | − | 1.19281i | −0.957539 | − | 0.288305i | \(-0.906908\pi\) |
0.426466 | − | 0.904504i | \(-0.359758\pi\) | |||||||
\(824\) | −3.51952 | − | 6.09598i | −0.122608 | − | 0.212364i | ||||
\(825\) | 3.01577 | − | 5.27395i | 0.104996 | − | 0.183615i | ||||
\(826\) | −10.5221 | − | 38.1750i | −0.366111 | − | 1.32828i | ||||
\(827\) | 13.8903 | − | 19.1183i | 0.483012 | − | 0.664808i | −0.496069 | − | 0.868283i | \(-0.665224\pi\) |
0.979080 | + | 0.203475i | \(0.0652236\pi\) | |||||||
\(828\) | −2.17954 | − | 1.96246i | −0.0757441 | − | 0.0682003i | ||||
\(829\) | −26.6170 | − | 5.65763i | −0.924448 | − | 0.196497i | −0.278991 | − | 0.960294i | \(-0.590000\pi\) |
−0.645457 | + | 0.763796i | \(0.723333\pi\) | |||||||
\(830\) | −29.8638 | + | 29.9881i | −1.03659 | + | 1.04090i | ||||
\(831\) | −1.81672 | + | 0.386157i | −0.0630215 | + | 0.0133956i | ||||
\(832\) | 29.5976i | 1.02611i | ||||||||
\(833\) | −4.29997 | + | 13.9076i | −0.148985 | + | 0.481870i | ||||
\(834\) | −1.78875 | + | 1.29960i | −0.0619393 | + | 0.0450015i | ||||
\(835\) | 6.32083 | − | 7.83881i | 0.218741 | − | 0.271273i | ||||
\(836\) | −1.14206 | + | 0.508477i | −0.0394989 | + | 0.0175861i | ||||
\(837\) | −2.81109 | + | 0.295458i | −0.0971655 | + | 0.0102125i | ||||
\(838\) | 10.8625 | − | 24.3976i | 0.375240 | − | 0.842802i | ||||
\(839\) | −12.5349 | − | 9.10712i | −0.432752 | − | 0.314413i | 0.349996 | − | 0.936751i | \(-0.386183\pi\) |
−0.782748 | + | 0.622338i | \(0.786183\pi\) | |||||||
\(840\) | 2.80003 | + | 1.99513i | 0.0966103 | + | 0.0688385i | ||||
\(841\) | 21.6213 | − | 15.7088i | 0.745562 | − | 0.541683i | ||||
\(842\) | −5.41843 | − | 25.4917i | −0.186731 | − | 0.878502i | ||||
\(843\) | −1.61143 | − | 0.930358i | −0.0555005 | − | 0.0320432i | ||||
\(844\) | 2.32567 | + | 2.58292i | 0.0800529 | + | 0.0889078i | ||||
\(845\) | 7.28895 | + | 5.87745i | 0.250748 | + | 0.202191i | ||||
\(846\) | 16.3619 | + | 50.3568i | 0.562534 | + | 1.73130i | ||||
\(847\) | 24.2794 | − | 48.5053i | 0.834249 | − | 1.66666i | ||||
\(848\) | 27.2857 | − | 37.5555i | 0.936994 | − | 1.28966i | ||||
\(849\) | 1.68739 | + | 2.92264i | 0.0579110 | + | 0.100305i | ||||
\(850\) | 15.2860 | + | 1.54245i | 0.524305 | + | 0.0529056i | ||||
\(851\) | 6.17946 | − | 10.7031i | 0.211829 | − | 0.366899i | ||||
\(852\) | −0.368720 | − | 0.0387540i | −0.0126321 | − | 0.00132769i | ||||
\(853\) | −20.6326 | + | 6.70395i | −0.706448 | + | 0.229539i | −0.640138 | − | 0.768260i | \(-0.721123\pi\) |
−0.0663103 | + | 0.997799i | \(0.521123\pi\) | |||||||
\(854\) | −1.69411 | − | 28.4339i | −0.0579714 | − | 0.972988i | ||||
\(855\) | 4.35913 | − | 6.74309i | 0.149079 | − | 0.230609i | ||||
\(856\) | 22.8253 | − | 4.85166i | 0.780152 | − | 0.165826i | ||||
\(857\) | −43.4273 | − | 25.0728i | −1.48345 | − | 0.856470i | −0.483626 | − | 0.875275i | \(-0.660680\pi\) |
−0.999823 | + | 0.0188051i | \(0.994014\pi\) | |||||||
\(858\) | −5.53124 | + | 4.98035i | −0.188833 | + | 0.170026i | ||||
\(859\) | 12.5897 | + | 5.60531i | 0.429556 | + | 0.191251i | 0.610114 | − | 0.792314i | \(-0.291124\pi\) |
−0.180558 | + | 0.983564i | \(0.557790\pi\) | |||||||
\(860\) | −1.42760 | − | 0.922881i | −0.0486806 | − | 0.0314700i | ||||
\(861\) | −0.290219 | − | 0.353197i | −0.00989064 | − | 0.0120369i | ||||
\(862\) | −1.76397 | − | 2.42789i | −0.0600810 | − | 0.0826944i | ||||
\(863\) | 8.18348 | − | 18.3804i | 0.278569 | − | 0.625676i | −0.719026 | − | 0.694983i | \(-0.755412\pi\) |
0.997595 | + | 0.0693067i | \(0.0220787\pi\) | |||||||
\(864\) | −1.21627 | + | 0.541517i | −0.0413783 | + | 0.0184228i | ||||
\(865\) | −25.3171 | + | 49.9439i | −0.860809 | + | 1.69814i | ||||
\(866\) | 44.8029 | + | 19.9475i | 1.52246 | + | 0.677845i | ||||
\(867\) | 2.60973 | + | 0.847952i | 0.0886310 | + | 0.0287979i | ||||
\(868\) | −0.756967 | − | 0.746218i | −0.0256931 | − | 0.0253283i | ||||
\(869\) | 2.46886 | − | 7.59837i | 0.0837504 | − | 0.257757i | ||||
\(870\) | 0.384490 | − | 1.00788i | 0.0130354 | − | 0.0341705i | ||||
\(871\) | −9.87766 | − | 2.09956i | −0.334692 | − | 0.0711409i | ||||
\(872\) | −9.11325 | + | 42.8745i | −0.308614 | + | 1.45191i | ||||
\(873\) | 28.1098 | + | 2.95446i | 0.951374 | + | 0.0999934i | ||||
\(874\) | −9.74074 | −0.329485 | ||||||||
\(875\) | −21.7157 | + | 20.0855i | −0.734124 | + | 0.679015i | ||||
\(876\) | 0.0414753 | 0.00140132 | ||||||||
\(877\) | 22.8078 | + | 2.39720i | 0.770165 | + | 0.0809476i | 0.481457 | − | 0.876470i | \(-0.340108\pi\) |
0.288708 | + | 0.957417i | \(0.406774\pi\) | |||||||
\(878\) | 3.64871 | − | 17.1658i | 0.123138 | − | 0.579318i | ||||
\(879\) | 7.05048 | + | 1.49863i | 0.237807 | + | 0.0505474i | ||||
\(880\) | 19.3818 | − | 50.8064i | 0.653359 | − | 1.71268i | ||||
\(881\) | 8.66279 | − | 26.6613i | 0.291857 | − | 0.898243i | −0.692402 | − | 0.721512i | \(-0.743448\pi\) |
0.984259 | − | 0.176731i | \(-0.0565524\pi\) | |||||||
\(882\) | 30.5409 | − | 0.436797i | 1.02836 | − | 0.0147077i | ||||
\(883\) | −8.92235 | − | 2.89905i | −0.300261 | − | 0.0975607i | 0.155012 | − | 0.987913i | \(-0.450458\pi\) |
−0.455273 | + | 0.890352i | \(0.650458\pi\) | |||||||
\(884\) | −1.44275 | − | 0.642353i | −0.0485249 | − | 0.0216047i | ||||
\(885\) | −2.21704 | + | 4.37363i | −0.0745251 | + | 0.147018i | ||||
\(886\) | 35.2783 | − | 15.7069i | 1.18520 | − | 0.527683i | ||||
\(887\) | −14.3449 | + | 32.2191i | −0.481653 | + | 1.08181i | 0.495371 | + | 0.868682i | \(0.335032\pi\) |
−0.977024 | + | 0.213129i | \(0.931634\pi\) | |||||||
\(888\) | −0.778673 | − | 1.07175i | −0.0261306 | − | 0.0359656i | ||||
\(889\) | 11.7436 | − | 31.2593i | 0.393866 | − | 1.04840i | ||||
\(890\) | −14.0936 | − | 9.11092i | −0.472418 | − | 0.305399i | ||||
\(891\) | −43.9952 | − | 19.5879i | −1.47389 | − | 0.656220i | ||||
\(892\) | 2.09959 | − | 1.89048i | 0.0702995 | − | 0.0632979i | ||||
\(893\) | 12.7782 | + | 7.37750i | 0.427606 | + | 0.246878i | ||||
\(894\) | 3.75575 | − | 0.798309i | 0.125611 | − | 0.0266994i | ||||
\(895\) | −7.95440 | + | 12.3046i | −0.265886 | + | 0.411296i | ||||
\(896\) | 29.8453 | + | 14.9391i | 0.997060 | + | 0.499080i | ||||
\(897\) | −4.62781 | + | 1.50367i | −0.154518 | + | 0.0502059i | ||||
\(898\) | 19.8208 | + | 2.08325i | 0.661429 | + | 0.0695190i | ||||
\(899\) | 1.65389 | − | 2.86462i | 0.0551603 | − | 0.0955404i | ||||
\(900\) | −0.573337 | − | 2.64330i | −0.0191112 | − | 0.0881099i | ||||
\(901\) | −11.1403 | − | 19.2955i | −0.371136 | − | 0.642827i | ||||
\(902\) | −3.89043 | + | 5.35472i | −0.129537 | + | 0.178293i | ||||
\(903\) | −2.37290 | + | 0.141379i | −0.0789651 | + | 0.00470480i | ||||
\(904\) | −4.88106 | − | 15.0223i | −0.162341 | − | 0.499636i | ||||
\(905\) | 34.3735 | + | 27.7171i | 1.14261 | + | 0.921348i | ||||
\(906\) | 3.67888 | + | 4.08581i | 0.122223 | + | 0.135742i | ||||
\(907\) | −25.8405 | − | 14.9190i | −0.858021 | − | 0.495379i | 0.00532811 | − | 0.999986i | \(-0.498304\pi\) |
−0.863349 | + | 0.504607i | \(0.831637\pi\) | |||||||
\(908\) | 0.431474 | + | 2.02993i | 0.0143190 | + | 0.0673655i | ||||
\(909\) | 40.9820 | − | 29.7751i | 1.35929 | − | 0.987579i | ||||
\(910\) | 32.9692 | − | 15.0449i | 1.09292 | − | 0.498732i | ||||
\(911\) | 4.62700 | + | 3.36171i | 0.153299 | + | 0.111379i | 0.661791 | − | 0.749688i | \(-0.269797\pi\) |
−0.508491 | + | 0.861067i | \(0.669797\pi\) | |||||||
\(912\) | −0.463905 | + | 1.04195i | −0.0153614 | + | 0.0345023i | ||||
\(913\) | 71.5016 | − | 7.51512i | 2.36636 | − | 0.248714i | ||||
\(914\) | −26.1778 | + | 11.6551i | −0.865885 | + | 0.385517i | ||||
\(915\) | −2.21403 | + | 2.74574i | −0.0731936 | + | 0.0907714i | ||||
\(916\) | 0.691861 | − | 0.502666i | 0.0228597 | − | 0.0166086i | ||||
\(917\) | −7.98894 | + | 4.14279i | −0.263818 | + | 0.136807i | ||||
\(918\) | 3.96005i | 0.130701i | ||||||||
\(919\) | −35.6448 | + | 7.57654i | −1.17581 | + | 0.249927i | −0.754074 | − | 0.656789i | \(-0.771914\pi\) |
−0.421741 | + | 0.906716i | \(0.638581\pi\) | |||||||
\(920\) | 22.9644 | − | 23.0600i | 0.757114 | − | 0.760265i | ||||
\(921\) | 3.04502 | + | 0.647240i | 0.100337 | + | 0.0213273i | ||||
\(922\) | −35.6319 | − | 32.0831i | −1.17347 | − | 1.05660i | ||||
\(923\) | 22.7824 | − | 31.3573i | 0.749892 | − | 1.03214i | ||||
\(924\) | 0.156475 | + | 0.567705i | 0.00514766 | + | 0.0186761i | ||||
\(925\) | 10.3930 | − | 4.67909i | 0.341720 | − | 0.153848i | ||||
\(926\) | 8.44639 | + | 14.6296i | 0.277566 | + | 0.480758i | ||||
\(927\) | 3.14958 | + | 7.07407i | 0.103446 | + | 0.232343i | ||||
\(928\) | 0.323932 | − | 1.52398i | 0.0106336 | − | 0.0500271i | ||||
\(929\) | 10.9770 | − | 12.1912i | 0.360145 | − | 0.399981i | −0.535657 | − | 0.844436i | \(-0.679936\pi\) |
0.895801 | + | 0.444455i | \(0.146603\pi\) | |||||||
\(930\) | 0.0853539 | + | 1.56639i | 0.00279887 | + | 0.0513641i | ||||
\(931\) | 6.24329 | − | 5.78527i | 0.204615 | − | 0.189605i | ||||
\(932\) | − | 0.992766i | − | 0.0325191i | ||||||
\(933\) | −1.12867 | − | 5.30995i | −0.0369509 | − | 0.173840i | ||||
\(934\) | 3.60806 | + | 34.3284i | 0.118059 | + | 1.12326i | ||||
\(935\) | −18.4934 | − | 18.4167i | −0.604798 | − | 0.602291i | ||||
\(936\) | 3.43542 | − | 32.6859i | 0.112290 | − | 1.06837i | ||||
\(937\) | 1.74631 | + | 2.40359i | 0.0570494 | + | 0.0785218i | 0.836588 | − | 0.547832i | \(-0.184547\pi\) |
−0.779539 | + | 0.626354i | \(0.784547\pi\) | |||||||
\(938\) | −5.93945 | + | 7.44281i | −0.193930 | + | 0.243016i | ||||
\(939\) | 0.803456 | + | 0.583745i | 0.0262198 | + | 0.0190498i | ||||
\(940\) | 4.79828 | − | 1.29638i | 0.156503 | − | 0.0422833i | ||||
\(941\) | 5.09338 | + | 48.4603i | 0.166040 | + | 1.57976i | 0.687307 | + | 0.726368i | \(0.258793\pi\) |
−0.521267 | + | 0.853394i | \(0.674540\pi\) | |||||||
\(942\) | −0.487121 | + | 0.438605i | −0.0158712 | + | 0.0142905i | ||||
\(943\) | −3.74740 | + | 2.16356i | −0.122032 | + | 0.0704552i | ||||
\(944\) | −13.5624 | + | 41.7409i | −0.441419 | + | 1.35855i | ||||
\(945\) | −5.71294 | − | 5.04928i | −0.185842 | − | 0.164253i | ||||
\(946\) | 10.6356 | + | 32.7331i | 0.345794 | + | 1.06424i | ||||
\(947\) | 21.1250 | + | 19.0210i | 0.686470 | + | 0.618101i | 0.936720 | − | 0.350081i | \(-0.113846\pi\) |
−0.250249 | + | 0.968181i | \(0.580513\pi\) | |||||||
\(948\) | 0.0229598 | + | 0.0515685i | 0.000745698 | + | 0.00167487i | ||||
\(949\) | −2.16800 | + | 3.75508i | −0.0703762 | + | 0.121895i | ||||
\(950\) | −7.28941 | − | 5.24994i | −0.236500 | − | 0.170331i | ||||
\(951\) | 4.02619 | 0.130558 | ||||||||
\(952\) | 11.4118 | − | 9.37699i | 0.369859 | − | 0.303910i | ||||
\(953\) | −9.66067 | + | 3.13894i | −0.312940 | + | 0.101680i | −0.461276 | − | 0.887257i | \(-0.652608\pi\) |
0.148336 | + | 0.988937i | \(0.452608\pi\) | |||||||
\(954\) | −31.2814 | + | 34.7415i | −1.01277 | + | 1.12480i | ||||
\(955\) | −24.0725 | + | 24.1727i | −0.778968 | + | 0.782211i | ||||
\(956\) | 1.37637 | + | 1.52862i | 0.0445151 | + | 0.0494390i | ||||
\(957\) | −1.58702 | + | 0.916265i | −0.0513010 | + | 0.0296186i | ||||
\(958\) | 52.8776 | + | 17.1810i | 1.70840 | + | 0.555092i | ||||
\(959\) | 33.6146 | − | 13.1800i | 1.08547 | − | 0.425604i | ||||
\(960\) | −1.24520 | − | 3.22382i | −0.0401886 | − | 0.104048i | ||||
\(961\) | 2.73757 | − | 26.0463i | 0.0883089 | − | 0.840203i | ||||
\(962\) | −13.8872 | + | 1.45960i | −0.447740 | + | 0.0470593i | ||||
\(963\) | −25.5301 | + | 2.68332i | −0.822695 | + | 0.0864688i | ||||
\(964\) | −0.439862 | + | 4.18501i | −0.0141670 | + | 0.134790i | ||||
\(965\) | 5.95757 | − | 4.84487i | 0.191781 | − | 0.155962i | ||||
\(966\) | −0.685353 | + | 4.53688i | −0.0220509 | + | 0.145972i | ||||
\(967\) | −6.99426 | − | 2.27257i | −0.224920 | − | 0.0730810i | 0.194389 | − | 0.980925i | \(-0.437728\pi\) |
−0.419309 | + | 0.907844i | \(0.637728\pi\) | |||||||
\(968\) | −47.6627 | + | 27.5180i | −1.53194 | + | 0.884464i | ||||
\(969\) | 0.366299 | + | 0.406817i | 0.0117672 | + | 0.0130688i | ||||
\(970\) | 4.88190 | − | 31.2430i | 0.156748 | − | 1.00315i | ||||
\(971\) | 16.6864 | − | 18.5322i | 0.535493 | − | 0.594725i | −0.413311 | − | 0.910590i | \(-0.635628\pi\) |
0.948804 | + | 0.315865i | \(0.102295\pi\) | |||||||
\(972\) | 0.997175 | − | 0.324002i | 0.0319844 | − | 0.0103924i | ||||
\(973\) | −17.1197 | − | 6.43156i | −0.548832 | − | 0.206186i | ||||
\(974\) | 13.2927 | 0.425925 | ||||||||
\(975\) | −4.27361 | − | 1.36898i | −0.136865 | − | 0.0438425i | ||||
\(976\) | −15.7852 | + | 27.3408i | −0.505273 | + | 0.875159i | ||||
\(977\) | −2.47781 | − | 5.56524i | −0.0792720 | − | 0.178048i | 0.869561 | − | 0.493825i | \(-0.164402\pi\) |
−0.948833 | + | 0.315777i | \(0.897735\pi\) | |||||||
\(978\) | 2.89560 | + | 2.60721i | 0.0925910 | + | 0.0833693i | ||||
\(979\) | 8.80979 | + | 27.1137i | 0.281562 | + | 0.866559i | ||||
\(980\) | 0.103145 | − | 2.86535i | 0.00329484 | − | 0.0915302i | ||||
\(981\) | 14.9006 | − | 45.8593i | 0.475739 | − | 1.46417i | ||||
\(982\) | −23.5052 | + | 13.5708i | −0.750082 | + | 0.433060i | ||||
\(983\) | −3.59748 | + | 3.23919i | −0.114742 | + | 0.103314i | −0.724505 | − | 0.689270i | \(-0.757931\pi\) |
0.609763 | + | 0.792584i | \(0.291265\pi\) | |||||||
\(984\) | 0.0484830 | + | 0.461285i | 0.00154558 | + | 0.0147052i | ||||
\(985\) | −0.899302 | + | 17.8698i | −0.0286541 | + | 0.569379i | ||||
\(986\) | −3.74916 | − | 2.72392i | −0.119398 | − | 0.0867474i | ||||
\(987\) | 4.33524 | − | 5.43254i | 0.137992 | − | 0.172920i | ||||
\(988\) | 0.542769 | + | 0.747058i | 0.0172678 | + | 0.0237671i | ||||
\(989\) | −2.35199 | + | 22.3777i | −0.0747889 | + | 0.711569i | ||||
\(990\) | −24.7601 | + | 48.8449i | −0.786927 | + | 1.55239i | ||||
\(991\) | −3.84322 | − | 36.5658i | −0.122084 | − | 1.16155i | −0.868367 | − | 0.495922i | \(-0.834830\pi\) |
0.746283 | − | 0.665629i | \(-0.231837\pi\) | |||||||
\(992\) | 0.471069 | + | 2.21621i | 0.0149565 | + | 0.0703646i | ||||
\(993\) | 4.64760i | 0.147487i | ||||||||
\(994\) | −16.8251 | − | 32.4454i | −0.533659 | − | 1.02911i | ||||
\(995\) | 27.1008 | + | 33.3249i | 0.859153 | + | 1.05647i | ||||
\(996\) | −0.339900 | + | 0.377498i | −0.0107702 | + | 0.0119615i | ||||
\(997\) | 5.52813 | − | 26.0078i | 0.175078 | − | 0.823675i | −0.799683 | − | 0.600422i | \(-0.794999\pi\) |
0.974761 | − | 0.223253i | \(-0.0716675\pi\) | |||||||
\(998\) | −13.7873 | − | 30.9669i | −0.436431 | − | 0.980239i | ||||
\(999\) | 1.46891 | + | 2.54423i | 0.0464743 | + | 0.0804958i |
(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 | 175.2.t.a.109.13 | yes | 144 | |
5.2 | odd | 4 | 875.2.q.b.326.11 | 288 | |||
5.3 | odd | 4 | 875.2.q.b.326.26 | 288 | |||
5.4 | even | 2 | 875.2.u.a.424.6 | 144 | |||
7.2 | even | 3 | inner | 175.2.t.a.9.6 | ✓ | 144 | |
25.2 | odd | 20 | 875.2.q.b.676.26 | 288 | |||
25.11 | even | 5 | 875.2.u.a.74.13 | 144 | |||
25.14 | even | 10 | inner | 175.2.t.a.39.6 | yes | 144 | |
25.23 | odd | 20 | 875.2.q.b.676.11 | 288 | |||
35.2 | odd | 12 | 875.2.q.b.576.26 | 288 | |||
35.9 | even | 6 | 875.2.u.a.674.13 | 144 | |||
35.23 | odd | 12 | 875.2.q.b.576.11 | 288 | |||
175.2 | odd | 60 | 875.2.q.b.51.11 | 288 | |||
175.23 | odd | 60 | 875.2.q.b.51.26 | 288 | |||
175.86 | even | 15 | 875.2.u.a.324.6 | 144 | |||
175.114 | even | 30 | inner | 175.2.t.a.114.13 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.t.a.9.6 | ✓ | 144 | 7.2 | even | 3 | inner | |
175.2.t.a.39.6 | yes | 144 | 25.14 | even | 10 | inner | |
175.2.t.a.109.13 | yes | 144 | 1.1 | even | 1 | trivial | |
175.2.t.a.114.13 | yes | 144 | 175.114 | even | 30 | inner | |
875.2.q.b.51.11 | 288 | 175.2 | odd | 60 | |||
875.2.q.b.51.26 | 288 | 175.23 | odd | 60 | |||
875.2.q.b.326.11 | 288 | 5.2 | odd | 4 | |||
875.2.q.b.326.26 | 288 | 5.3 | odd | 4 | |||
875.2.q.b.576.11 | 288 | 35.23 | odd | 12 | |||
875.2.q.b.576.26 | 288 | 35.2 | odd | 12 | |||
875.2.q.b.676.11 | 288 | 25.23 | odd | 20 | |||
875.2.q.b.676.26 | 288 | 25.2 | odd | 20 | |||
875.2.u.a.74.13 | 144 | 25.11 | even | 5 | |||
875.2.u.a.324.6 | 144 | 175.86 | even | 15 | |||
875.2.u.a.424.6 | 144 | 5.4 | even | 2 | |||
875.2.u.a.674.13 | 144 | 35.9 | even | 6 |