Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 373.5 | ||
Character | \(\chi\) | \(=\) | 690.373 |
Dual form | 690.2.w.a.37.5 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(e\left(\frac{1}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.877679 | + | 0.479249i | −0.620613 | + | 0.338880i | ||||
\(3\) | −0.997452 | + | 0.0713392i | −0.575879 | + | 0.0411877i | ||||
\(4\) | 0.540641 | − | 0.841254i | 0.270320 | − | 0.420627i | ||||
\(5\) | 2.11884 | + | 0.714499i | 0.947575 | + | 0.319534i | ||||
\(6\) | 0.841254 | − | 0.540641i | 0.343440 | − | 0.220716i | ||||
\(7\) | 0.271075 | − | 0.726780i | 0.102457 | − | 0.274697i | −0.875600 | − | 0.483037i | \(-0.839534\pi\) |
0.978056 | + | 0.208341i | \(0.0668062\pi\) | |||||||
\(8\) | −0.0713392 | + | 0.997452i | −0.0252222 | + | 0.352653i | ||||
\(9\) | 0.989821 | − | 0.142315i | 0.329940 | − | 0.0474383i | ||||
\(10\) | −2.20209 | + | 0.388352i | −0.696361 | + | 0.122808i | ||||
\(11\) | −1.66072 | − | 5.65588i | −0.500725 | − | 1.70531i | −0.690366 | − | 0.723460i | \(-0.742551\pi\) |
0.189641 | − | 0.981853i | \(-0.439268\pi\) | |||||||
\(12\) | −0.479249 | + | 0.877679i | −0.138347 | + | 0.253364i | ||||
\(13\) | 3.64999 | − | 1.36138i | 1.01233 | − | 0.377578i | 0.212081 | − | 0.977252i | \(-0.431976\pi\) |
0.800244 | + | 0.599674i | \(0.204703\pi\) | |||||||
\(14\) | 0.110392 | + | 0.767791i | 0.0295034 | + | 0.205201i | ||||
\(15\) | −2.16442 | − | 0.561523i | −0.558850 | − | 0.144985i | ||||
\(16\) | −0.415415 | − | 0.909632i | −0.103854 | − | 0.227408i | ||||
\(17\) | −3.47850 | − | 0.756701i | −0.843660 | − | 0.183527i | −0.230092 | − | 0.973169i | \(-0.573903\pi\) |
−0.613568 | + | 0.789642i | \(0.710266\pi\) | |||||||
\(18\) | −0.800541 | + | 0.599278i | −0.188689 | + | 0.141251i | ||||
\(19\) | −3.10501 | − | 1.99547i | −0.712339 | − | 0.457792i | 0.133626 | − | 0.991032i | \(-0.457338\pi\) |
−0.845964 | + | 0.533240i | \(0.820974\pi\) | |||||||
\(20\) | 1.74661 | − | 1.39620i | 0.390553 | − | 0.312199i | ||||
\(21\) | −0.218536 | + | 0.744266i | −0.0476885 | + | 0.162412i | ||||
\(22\) | 4.16815 | + | 4.16815i | 0.888653 | + | 0.888653i | ||||
\(23\) | 0.782098 | + | 4.73163i | 0.163079 | + | 0.986613i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 3.97898 | + | 3.02782i | 0.795796 | + | 0.605565i | ||||
\(26\) | −2.55108 | + | 2.94411i | −0.500308 | + | 0.577387i | ||||
\(27\) | −0.977147 | + | 0.212565i | −0.188052 | + | 0.0409082i | ||||
\(28\) | −0.464852 | − | 0.620969i | −0.0878487 | − | 0.117352i | ||||
\(29\) | −4.42134 | − | 6.87974i | −0.821023 | − | 1.27754i | −0.957944 | − | 0.286954i | \(-0.907357\pi\) |
0.136922 | − | 0.990582i | \(-0.456279\pi\) | |||||||
\(30\) | 2.16877 | − | 0.544457i | 0.395962 | − | 0.0994038i | ||||
\(31\) | −0.455780 | − | 0.525998i | −0.0818605 | − | 0.0944721i | 0.713342 | − | 0.700816i | \(-0.247181\pi\) |
−0.795202 | + | 0.606344i | \(0.792635\pi\) | |||||||
\(32\) | 0.800541 | + | 0.599278i | 0.141517 | + | 0.105938i | ||||
\(33\) | 2.05997 | + | 5.52300i | 0.358595 | + | 0.961431i | ||||
\(34\) | 3.41565 | − | 1.00293i | 0.585780 | − | 0.172000i | ||||
\(35\) | 1.09365 | − | 1.34625i | 0.184860 | − | 0.227557i | ||||
\(36\) | 0.415415 | − | 0.909632i | 0.0692358 | − | 0.151605i | ||||
\(37\) | 3.93943 | − | 5.26246i | 0.647638 | − | 0.865142i | −0.349790 | − | 0.936828i | \(-0.613747\pi\) |
0.997427 | + | 0.0716858i | \(0.0228379\pi\) | |||||||
\(38\) | 3.68153 | + | 0.263308i | 0.597223 | + | 0.0427142i | ||||
\(39\) | −3.54357 | + | 1.61829i | −0.567426 | + | 0.259135i | ||||
\(40\) | −0.863835 | + | 2.06247i | −0.136584 | + | 0.326105i | ||||
\(41\) | 0.0215894 | − | 0.150158i | 0.00337170 | − | 0.0234507i | −0.988066 | − | 0.154030i | \(-0.950775\pi\) |
0.991438 | + | 0.130580i | \(0.0416838\pi\) | |||||||
\(42\) | −0.164884 | − | 0.757960i | −0.0254422 | − | 0.116956i | ||||
\(43\) | −0.836505 | − | 11.6959i | −0.127566 | − | 1.78360i | −0.510551 | − | 0.859848i | \(-0.670558\pi\) |
0.382985 | − | 0.923755i | \(-0.374896\pi\) | |||||||
\(44\) | −5.65588 | − | 1.66072i | −0.852657 | − | 0.250363i | ||||
\(45\) | 2.19896 | + | 0.405684i | 0.327801 | + | 0.0604758i | ||||
\(46\) | −2.95406 | − | 3.77803i | −0.435552 | − | 0.557040i | ||||
\(47\) | −0.875308 | + | 0.875308i | −0.127677 | + | 0.127677i | −0.768058 | − | 0.640381i | \(-0.778777\pi\) |
0.640381 | + | 0.768058i | \(0.278777\pi\) | |||||||
\(48\) | 0.479249 | + | 0.877679i | 0.0691736 | + | 0.126682i | ||||
\(49\) | 4.83552 | + | 4.19000i | 0.690789 | + | 0.598572i | ||||
\(50\) | −4.94335 | − | 0.750534i | −0.699095 | − | 0.106142i | ||||
\(51\) | 3.52362 | + | 0.506620i | 0.493405 | + | 0.0709409i | ||||
\(52\) | 0.828071 | − | 3.80658i | 0.114833 | − | 0.527878i | ||||
\(53\) | 8.51077 | + | 3.17435i | 1.16904 | + | 0.436031i | 0.857642 | − | 0.514247i | \(-0.171929\pi\) |
0.311402 | + | 0.950278i | \(0.399201\pi\) | |||||||
\(54\) | 0.755750 | − | 0.654861i | 0.102844 | − | 0.0891153i | ||||
\(55\) | 0.522329 | − | 13.1705i | 0.0704308 | − | 1.77591i | ||||
\(56\) | 0.705590 | + | 0.322232i | 0.0942884 | + | 0.0430601i | ||||
\(57\) | 3.23946 | + | 1.76888i | 0.429076 | + | 0.234293i | ||||
\(58\) | 7.17763 | + | 3.91928i | 0.942469 | + | 0.514627i | ||||
\(59\) | −11.6922 | − | 5.33967i | −1.52220 | − | 0.695166i | −0.533601 | − | 0.845736i | \(-0.679162\pi\) |
−0.988599 | + | 0.150571i | \(0.951889\pi\) | |||||||
\(60\) | −1.64255 | + | 1.51724i | −0.212053 | + | 0.195875i | ||||
\(61\) | 9.88231 | − | 8.56307i | 1.26530 | − | 1.09639i | 0.274424 | − | 0.961609i | \(-0.411513\pi\) |
0.990876 | − | 0.134779i | \(-0.0430326\pi\) | |||||||
\(62\) | 0.652113 | + | 0.243225i | 0.0828184 | + | 0.0308897i | ||||
\(63\) | 0.164884 | − | 0.757960i | 0.0207734 | − | 0.0954940i | ||||
\(64\) | −0.989821 | − | 0.142315i | −0.123728 | − | 0.0177894i | ||||
\(65\) | 8.70645 | − | 0.276624i | 1.07990 | − | 0.0343110i | ||||
\(66\) | −4.45489 | − | 3.86018i | −0.548359 | − | 0.475155i | ||||
\(67\) | 6.73221 | + | 12.3291i | 0.822470 | + | 1.50624i | 0.861934 | + | 0.507020i | \(0.169253\pi\) |
−0.0394640 | + | 0.999221i | \(0.512565\pi\) | |||||||
\(68\) | −2.51720 | + | 2.51720i | −0.305255 | + | 0.305255i | ||||
\(69\) | −1.11766 | − | 4.66378i | −0.134550 | − | 0.561453i | ||||
\(70\) | −0.314684 | + | 1.70570i | −0.0376119 | + | 0.203871i | ||||
\(71\) | 7.40082 | + | 2.17308i | 0.878316 | + | 0.257897i | 0.689648 | − | 0.724144i | \(-0.257765\pi\) |
0.188667 | + | 0.982041i | \(0.439583\pi\) | |||||||
\(72\) | 0.0713392 | + | 0.997452i | 0.00840740 | + | 0.117551i | ||||
\(73\) | −0.107206 | − | 0.492818i | −0.0125475 | − | 0.0576800i | 0.970447 | − | 0.241313i | \(-0.0775779\pi\) |
−0.982995 | + | 0.183633i | \(0.941214\pi\) | |||||||
\(74\) | −0.935524 | + | 6.50671i | −0.108752 | + | 0.756390i | ||||
\(75\) | −4.18485 | − | 2.73625i | −0.483224 | − | 0.315955i | ||||
\(76\) | −3.35739 | + | 1.53327i | −0.385119 | + | 0.175878i | ||||
\(77\) | −4.56076 | − | 0.326192i | −0.519747 | − | 0.0371730i | ||||
\(78\) | 2.33455 | − | 3.11860i | 0.264336 | − | 0.353111i | ||||
\(79\) | 6.48309 | − | 14.1960i | 0.729404 | − | 1.59717i | −0.0708326 | − | 0.997488i | \(-0.522566\pi\) |
0.800237 | − | 0.599684i | \(-0.204707\pi\) | |||||||
\(80\) | −0.230267 | − | 2.22418i | −0.0257446 | − | 0.248671i | ||||
\(81\) | 0.959493 | − | 0.281733i | 0.106610 | − | 0.0313036i | ||||
\(82\) | 0.0530144 | + | 0.142137i | 0.00585446 | + | 0.0156964i | ||||
\(83\) | 2.80499 | + | 2.09979i | 0.307888 | + | 0.230482i | 0.742037 | − | 0.670359i | \(-0.233860\pi\) |
−0.434149 | + | 0.900841i | \(0.642951\pi\) | |||||||
\(84\) | 0.507967 | + | 0.586225i | 0.0554237 | + | 0.0639624i | ||||
\(85\) | −6.82972 | − | 4.08871i | −0.740788 | − | 0.443483i | ||||
\(86\) | 6.33941 | + | 9.86432i | 0.683596 | + | 1.06370i | ||||
\(87\) | 4.90087 | + | 6.54680i | 0.525429 | + | 0.701890i | ||||
\(88\) | 5.75995 | − | 1.25300i | 0.614013 | − | 0.133570i | ||||
\(89\) | 0.988512 | − | 1.14080i | 0.104782 | − | 0.120925i | −0.700936 | − | 0.713224i | \(-0.747234\pi\) |
0.805718 | + | 0.592299i | \(0.201780\pi\) | |||||||
\(90\) | −2.12440 | + | 0.697788i | −0.223932 | + | 0.0735533i | ||||
\(91\) | − | 3.02177i | − | 0.316768i | ||||||
\(92\) | 4.40333 | + | 1.90017i | 0.459079 | + | 0.198106i | ||||
\(93\) | 0.492143 | + | 0.492143i | 0.0510328 | + | 0.0510328i | ||||
\(94\) | 0.348749 | − | 1.18773i | 0.0359707 | − | 0.122505i | ||||
\(95\) | −5.15327 | − | 6.44662i | −0.528714 | − | 0.661409i | ||||
\(96\) | −0.841254 | − | 0.540641i | −0.0858601 | − | 0.0551789i | ||||
\(97\) | −3.94307 | + | 2.95174i | −0.400358 | + | 0.299704i | −0.780419 | − | 0.625257i | \(-0.784994\pi\) |
0.380061 | + | 0.924962i | \(0.375903\pi\) | |||||||
\(98\) | −6.25209 | − | 1.36006i | −0.631556 | − | 0.137387i | ||||
\(99\) | −2.44873 | − | 5.36197i | −0.246107 | − | 0.538898i | ||||
\(100\) | 4.69837 | − | 1.71037i | 0.469837 | − | 0.171037i | ||||
\(101\) | 1.46023 | + | 10.1561i | 0.145298 | + | 1.01057i | 0.923786 | + | 0.382910i | \(0.125078\pi\) |
−0.778488 | + | 0.627660i | \(0.784013\pi\) | |||||||
\(102\) | −3.33540 | + | 1.24404i | −0.330254 | + | 0.123178i | ||||
\(103\) | 7.76239 | − | 14.2158i | 0.764851 | − | 1.40072i | −0.146552 | − | 0.989203i | \(-0.546817\pi\) |
0.911402 | − | 0.411516i | \(-0.135001\pi\) | |||||||
\(104\) | 1.09752 | + | 3.73781i | 0.107621 | + | 0.366522i | ||||
\(105\) | −0.994821 | + | 1.42084i | −0.0970846 | + | 0.138660i | ||||
\(106\) | −8.99103 | + | 1.29271i | −0.873286 | + | 0.125560i | ||||
\(107\) | −1.07578 | + | 15.0414i | −0.104000 | + | 1.45411i | 0.630863 | + | 0.775895i | \(0.282701\pi\) |
−0.734863 | + | 0.678216i | \(0.762753\pi\) | |||||||
\(108\) | −0.349464 | + | 0.936950i | −0.0336272 | + | 0.0901580i | ||||
\(109\) | −10.2489 | + | 6.58658i | −0.981668 | + | 0.630880i | −0.929913 | − | 0.367780i | \(-0.880118\pi\) |
−0.0517554 | + | 0.998660i | \(0.516482\pi\) | |||||||
\(110\) | 5.85351 | + | 11.8098i | 0.558111 | + | 1.12602i | ||||
\(111\) | −3.55397 | + | 5.53008i | −0.337328 | + | 0.524892i | ||||
\(112\) | −0.773710 | + | 0.0553369i | −0.0731088 | + | 0.00522884i | ||||
\(113\) | −10.2436 | + | 5.59343i | −0.963636 | + | 0.526185i | −0.882395 | − | 0.470509i | \(-0.844070\pi\) |
−0.0812413 | + | 0.996694i | \(0.525888\pi\) | |||||||
\(114\) | −3.69094 | −0.345688 | ||||||||
\(115\) | −1.72360 | + | 10.5844i | −0.160727 | + | 0.986999i | ||||
\(116\) | −8.17797 | −0.759305 | ||||||||
\(117\) | 3.41909 | − | 1.86697i | 0.316095 | − | 0.172601i | ||||
\(118\) | 12.8211 | − | 0.916981i | 1.18027 | − | 0.0844149i | ||||
\(119\) | −1.49289 | + | 2.32298i | −0.136853 | + | 0.212947i | ||||
\(120\) | 0.714499 | − | 2.11884i | 0.0652246 | − | 0.193423i | ||||
\(121\) | −19.9773 | + | 12.8386i | −1.81611 | + | 1.16715i | ||||
\(122\) | −4.56965 | + | 12.2517i | −0.413717 | + | 1.10922i | ||||
\(123\) | −0.0108223 | + | 0.151315i | −0.000975813 | + | 0.0136436i | ||||
\(124\) | −0.688911 | + | 0.0990505i | −0.0618660 | + | 0.00889499i | ||||
\(125\) | 6.26745 | + | 9.25846i | 0.560578 | + | 0.828102i | ||||
\(126\) | 0.218536 | + | 0.744266i | 0.0194688 | + | 0.0663045i | ||||
\(127\) | −2.45876 | + | 4.50288i | −0.218180 | + | 0.399566i | −0.963728 | − | 0.266885i | \(-0.914006\pi\) |
0.745549 | + | 0.666451i | \(0.232187\pi\) | |||||||
\(128\) | 0.936950 | − | 0.349464i | 0.0828154 | − | 0.0308886i | ||||
\(129\) | 1.66875 | + | 11.6064i | 0.146925 | + | 1.02189i | ||||
\(130\) | −7.50890 | + | 4.41535i | −0.658574 | + | 0.387252i | ||||
\(131\) | −4.19911 | − | 9.19477i | −0.366878 | − | 0.803351i | −0.999581 | − | 0.0289562i | \(-0.990782\pi\) |
0.632702 | − | 0.774395i | \(-0.281946\pi\) | |||||||
\(132\) | 5.75995 | + | 1.25300i | 0.501339 | + | 0.109060i | ||||
\(133\) | −2.29196 | + | 1.71574i | −0.198738 | + | 0.148773i | ||||
\(134\) | −11.8174 | − | 7.59460i | −1.02087 | − | 0.656074i | ||||
\(135\) | −2.22230 | − | 0.247779i | −0.191265 | − | 0.0213254i | ||||
\(136\) | 1.00293 | − | 3.41565i | 0.0860002 | − | 0.292890i | ||||
\(137\) | −10.2686 | − | 10.2686i | −0.877307 | − | 0.877307i | 0.115948 | − | 0.993255i | \(-0.463009\pi\) |
−0.993255 | + | 0.115948i | \(0.963009\pi\) | |||||||
\(138\) | 3.21606 | + | 3.55767i | 0.273769 | + | 0.302849i | ||||
\(139\) | − | 8.45001i | − | 0.716721i | −0.933583 | − | 0.358360i | \(-0.883336\pi\) | ||
0.933583 | − | 0.358360i | \(-0.116664\pi\) | |||||||
\(140\) | −0.541265 | − | 1.64787i | −0.0457453 | − | 0.139271i | ||||
\(141\) | 0.810634 | − | 0.935521i | 0.0682677 | − | 0.0787851i | ||||
\(142\) | −7.53699 | + | 1.63957i | −0.632490 | + | 0.137590i | ||||
\(143\) | −13.7614 | − | 18.3831i | −1.15079 | − | 1.53727i | ||||
\(144\) | −0.540641 | − | 0.841254i | −0.0450534 | − | 0.0701045i | ||||
\(145\) | −4.45255 | − | 17.7361i | −0.369764 | − | 1.47291i | ||||
\(146\) | 0.330275 | + | 0.381158i | 0.0273338 | + | 0.0315448i | ||||
\(147\) | −5.12211 | − | 3.83436i | −0.422465 | − | 0.316253i | ||||
\(148\) | −2.29725 | − | 6.15915i | −0.188832 | − | 0.506279i | ||||
\(149\) | 18.8481 | − | 5.53431i | 1.54410 | − | 0.453389i | 0.604769 | − | 0.796401i | \(-0.293265\pi\) |
0.939331 | + | 0.343012i | \(0.111447\pi\) | |||||||
\(150\) | 4.98430 | + | 0.395967i | 0.406966 | + | 0.0323306i | ||||
\(151\) | −3.70797 | + | 8.11933i | −0.301751 | + | 0.660742i | −0.998393 | − | 0.0566772i | \(-0.981949\pi\) |
0.696642 | + | 0.717419i | \(0.254677\pi\) | |||||||
\(152\) | 2.21189 | − | 2.95475i | 0.179408 | − | 0.239662i | ||||
\(153\) | −3.55078 | − | 0.253957i | −0.287064 | − | 0.0205312i | ||||
\(154\) | 4.15921 | − | 1.89945i | 0.335159 | − | 0.153062i | ||||
\(155\) | −0.589900 | − | 1.44016i | −0.0473819 | − | 0.115677i | ||||
\(156\) | −0.554403 | + | 3.85596i | −0.0443878 | + | 0.308724i | ||||
\(157\) | 3.82423 | + | 17.5797i | 0.305207 | + | 1.40301i | 0.832827 | + | 0.553533i | \(0.186721\pi\) |
−0.527620 | + | 0.849480i | \(0.676916\pi\) | |||||||
\(158\) | 1.11334 | + | 15.5665i | 0.0885726 | + | 1.23841i | ||||
\(159\) | −8.71554 | − | 2.55911i | −0.691187 | − | 0.202951i | ||||
\(160\) | 1.26804 | + | 1.84176i | 0.100247 | + | 0.145604i | ||||
\(161\) | 3.65086 | + | 0.714212i | 0.287728 | + | 0.0562878i | ||||
\(162\) | −0.707107 | + | 0.707107i | −0.0555556 | + | 0.0555556i | ||||
\(163\) | 5.51798 | + | 10.1054i | 0.432202 | + | 0.791518i | 0.999488 | − | 0.0320025i | \(-0.0101885\pi\) |
−0.567286 | + | 0.823521i | \(0.692007\pi\) | |||||||
\(164\) | −0.114649 | − | 0.0993436i | −0.00895255 | − | 0.00775743i | ||||
\(165\) | 0.418575 | + | 13.1742i | 0.0325860 | + | 1.02561i | ||||
\(166\) | −3.46821 | − | 0.498653i | −0.269185 | − | 0.0387030i | ||||
\(167\) | −0.335639 | + | 1.54291i | −0.0259726 | + | 0.119394i | −0.988308 | − | 0.152471i | \(-0.951277\pi\) |
0.962335 | + | 0.271865i | \(0.0876405\pi\) | |||||||
\(168\) | −0.726780 | − | 0.271075i | −0.0560723 | − | 0.0209139i | ||||
\(169\) | 1.64434 | − | 1.42483i | 0.126488 | − | 0.109602i | ||||
\(170\) | 7.95382 | + | 0.315440i | 0.610030 | + | 0.0241932i | ||||
\(171\) | −3.35739 | − | 1.53327i | −0.256746 | − | 0.117252i | ||||
\(172\) | −10.2914 | − | 5.61955i | −0.784714 | − | 0.428487i | ||||
\(173\) | −12.0382 | − | 6.57333i | −0.915244 | − | 0.499761i | −0.0486731 | − | 0.998815i | \(-0.515499\pi\) |
−0.866571 | + | 0.499054i | \(0.833681\pi\) | |||||||
\(174\) | −7.43894 | − | 3.39725i | −0.563945 | − | 0.257545i | ||||
\(175\) | 3.27916 | − | 2.07108i | 0.247881 | − | 0.156559i | ||||
\(176\) | −4.45489 | + | 3.86018i | −0.335800 | + | 0.290972i | ||||
\(177\) | 12.0434 | + | 4.49195i | 0.905236 | + | 0.337635i | ||||
\(178\) | −0.320867 | + | 1.47500i | −0.0240500 | + | 0.110556i | ||||
\(179\) | −2.65863 | − | 0.382254i | −0.198716 | − | 0.0285710i | 0.0422382 | − | 0.999108i | \(-0.486551\pi\) |
−0.240954 | + | 0.970537i | \(0.577460\pi\) | |||||||
\(180\) | 1.53013 | − | 1.63055i | 0.114049 | − | 0.121534i | ||||
\(181\) | 15.1217 | + | 13.1030i | 1.12399 | + | 0.973941i | 0.999832 | − | 0.0183213i | \(-0.00583218\pi\) |
0.124156 | + | 0.992263i | \(0.460378\pi\) | |||||||
\(182\) | 1.44818 | + | 2.65215i | 0.107346 | + | 0.196590i | ||||
\(183\) | −9.24624 | + | 9.24624i | −0.683502 | + | 0.683502i | ||||
\(184\) | −4.77537 | + | 0.442555i | −0.352045 | + | 0.0326256i | ||||
\(185\) | 12.1070 | − | 8.33559i | 0.890127 | − | 0.612845i | ||||
\(186\) | −0.667803 | − | 0.196085i | −0.0489657 | − | 0.0143776i | ||||
\(187\) | 1.49699 | + | 20.9306i | 0.109471 | + | 1.53060i | ||||
\(188\) | 0.263129 | + | 1.20958i | 0.0191906 | + | 0.0882179i | ||||
\(189\) | −0.110392 | + | 0.767791i | −0.00802982 | + | 0.0558486i | ||||
\(190\) | 7.61245 | + | 3.18836i | 0.552265 | + | 0.231308i | ||||
\(191\) | −4.93363 | + | 2.25311i | −0.356985 | + | 0.163030i | −0.585831 | − | 0.810433i | \(-0.699232\pi\) |
0.228846 | + | 0.973463i | \(0.426505\pi\) | |||||||
\(192\) | 0.997452 | + | 0.0713392i | 0.0719849 | + | 0.00514846i | ||||
\(193\) | −9.20060 | + | 12.2906i | −0.662273 | + | 0.884694i | −0.998366 | − | 0.0571350i | \(-0.981803\pi\) |
0.336093 | + | 0.941829i | \(0.390894\pi\) | |||||||
\(194\) | 2.04613 | − | 4.48039i | 0.146903 | − | 0.321674i | ||||
\(195\) | −8.66454 | + | 0.897031i | −0.620480 | + | 0.0642377i | ||||
\(196\) | 6.13913 | − | 1.80261i | 0.438510 | − | 0.128758i | ||||
\(197\) | −4.91167 | − | 13.1687i | −0.349942 | − | 0.938232i | −0.986023 | − | 0.166609i | \(-0.946718\pi\) |
0.636081 | − | 0.771623i | \(-0.280555\pi\) | |||||||
\(198\) | 4.71892 | + | 3.53254i | 0.335359 | + | 0.251047i | ||||
\(199\) | −0.953648 | − | 1.10057i | −0.0676023 | − | 0.0780172i | 0.720941 | − | 0.692996i | \(-0.243710\pi\) |
−0.788543 | + | 0.614979i | \(0.789164\pi\) | |||||||
\(200\) | −3.30397 | + | 3.75284i | −0.233626 | + | 0.265366i | ||||
\(201\) | −7.59460 | − | 11.8174i | −0.535682 | − | 0.833538i | ||||
\(202\) | −6.14891 | − | 8.21399i | −0.432636 | − | 0.577934i | ||||
\(203\) | −6.19857 | + | 1.34842i | −0.435054 | + | 0.0946403i | ||||
\(204\) | 2.33121 | − | 2.69036i | 0.163217 | − | 0.188363i | ||||
\(205\) | 0.153032 | − | 0.302735i | 0.0106882 | − | 0.0211439i | ||||
\(206\) | 16.1970i | 1.12850i | ||||||||
\(207\) | 1.44752 | + | 4.57216i | 0.100610 | + | 0.317787i | ||||
\(208\) | −2.75461 | − | 2.75461i | −0.190998 | − | 0.190998i | ||||
\(209\) | −6.12960 | + | 20.8755i | −0.423993 | + | 1.44399i | ||||
\(210\) | 0.192199 | − | 1.72381i | 0.0132630 | − | 0.118954i | ||||
\(211\) | 6.60190 | + | 4.24278i | 0.454493 | + | 0.292085i | 0.747789 | − | 0.663937i | \(-0.231116\pi\) |
−0.293295 | + | 0.956022i | \(0.594752\pi\) | |||||||
\(212\) | 7.27170 | − | 5.44353i | 0.499423 | − | 0.373863i | ||||
\(213\) | −7.53699 | − | 1.63957i | −0.516426 | − | 0.112342i | ||||
\(214\) | −6.26440 | − | 13.7171i | −0.428226 | − | 0.937683i | ||||
\(215\) | 6.58427 | − | 25.3794i | 0.449043 | − | 1.73086i | ||||
\(216\) | −0.142315 | − | 0.989821i | −0.00968330 | − | 0.0673488i | ||||
\(217\) | −0.505835 | + | 0.188667i | −0.0343383 | + | 0.0128075i | ||||
\(218\) | 5.83865 | − | 10.6927i | 0.395443 | − | 0.724200i | ||||
\(219\) | 0.142090 | + | 0.483915i | 0.00960156 | + | 0.0326999i | ||||
\(220\) | −10.7973 | − | 7.55992i | −0.727957 | − | 0.509690i | ||||
\(221\) | −13.7266 | + | 1.97359i | −0.923354 | + | 0.132758i | ||||
\(222\) | 0.468957 | − | 6.55687i | 0.0314743 | − | 0.440069i | ||||
\(223\) | 0.0782052 | − | 0.209676i | 0.00523701 | − | 0.0140410i | −0.934305 | − | 0.356475i | \(-0.883979\pi\) |
0.939542 | + | 0.342434i | \(0.111251\pi\) | |||||||
\(224\) | 0.652549 | − | 0.419368i | 0.0436003 | − | 0.0280202i | ||||
\(225\) | 4.36938 | + | 2.43074i | 0.291292 | + | 0.162049i | ||||
\(226\) | 6.30994 | − | 9.81847i | 0.419731 | − | 0.653115i | ||||
\(227\) | −0.593085 | + | 0.0424182i | −0.0393644 | + | 0.00281540i | −0.0910075 | − | 0.995850i | \(-0.529009\pi\) |
0.0516431 | + | 0.998666i | \(0.483554\pi\) | |||||||
\(228\) | 3.23946 | − | 1.76888i | 0.214538 | − | 0.117147i | ||||
\(229\) | 0.358862 | 0.0237143 | 0.0118571 | − | 0.999930i | \(-0.496226\pi\) | ||||
0.0118571 | + | 0.999930i | \(0.496226\pi\) | |||||||
\(230\) | −3.55978 | − | 10.1157i | −0.234725 | − | 0.667011i | ||||
\(231\) | 4.57241 | 0.300842 | ||||||||
\(232\) | 7.17763 | − | 3.91928i | 0.471234 | − | 0.257313i | ||||
\(233\) | 16.4286 | − | 1.17500i | 1.07628 | − | 0.0769767i | 0.478072 | − | 0.878321i | \(-0.341336\pi\) |
0.598204 | + | 0.801344i | \(0.295881\pi\) | |||||||
\(234\) | −2.10613 | + | 3.27720i | −0.137682 | + | 0.214237i | ||||
\(235\) | −2.48005 | + | 1.22923i | −0.161780 | + | 0.0801862i | ||||
\(236\) | −10.8133 | + | 6.94930i | −0.703887 | + | 0.452361i | ||||
\(237\) | −5.45384 | + | 14.6223i | −0.354265 | + | 0.949821i | ||||
\(238\) | 0.196991 | − | 2.75429i | 0.0127690 | − | 0.178534i | ||||
\(239\) | 18.4280 | − | 2.64954i | 1.19201 | − | 0.171385i | 0.482380 | − | 0.875962i | \(-0.339773\pi\) |
0.709627 | + | 0.704577i | \(0.248863\pi\) | |||||||
\(240\) | 0.388352 | + | 2.20209i | 0.0250680 | + | 0.142144i | ||||
\(241\) | −0.249155 | − | 0.848545i | −0.0160495 | − | 0.0546596i | 0.951079 | − | 0.308948i | \(-0.0999769\pi\) |
−0.967128 | + | 0.254288i | \(0.918159\pi\) | |||||||
\(242\) | 11.3807 | − | 20.8423i | 0.731581 | − | 1.33979i | ||||
\(243\) | −0.936950 | + | 0.349464i | −0.0601054 | + | 0.0224181i | ||||
\(244\) | −1.86093 | − | 12.9431i | −0.119134 | − | 0.828595i | ||||
\(245\) | 7.25195 | + | 12.3329i | 0.463310 | + | 0.787922i | ||||
\(246\) | −0.0630192 | − | 0.137993i | −0.00401796 | − | 0.00879810i | ||||
\(247\) | −14.0498 | − | 3.05636i | −0.893971 | − | 0.194471i | ||||
\(248\) | 0.557173 | − | 0.417094i | 0.0353805 | − | 0.0264855i | ||||
\(249\) | −2.94764 | − | 1.89433i | −0.186799 | − | 0.120049i | ||||
\(250\) | −9.93792 | − | 5.12228i | −0.628529 | − | 0.323962i | ||||
\(251\) | −0.916603 | + | 3.12166i | −0.0578555 | + | 0.197038i | −0.983349 | − | 0.181725i | \(-0.941832\pi\) |
0.925494 | + | 0.378762i | \(0.123650\pi\) | |||||||
\(252\) | −0.548493 | − | 0.548493i | −0.0345518 | − | 0.0345518i | ||||
\(253\) | 25.4627 | − | 12.2814i | 1.60083 | − | 0.772122i | ||||
\(254\) | − | 5.13045i | − | 0.321913i | ||||||
\(255\) | 7.10401 | + | 3.59107i | 0.444870 | + | 0.224881i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | −10.0141 | + | 2.17844i | −0.624663 | + | 0.135887i | −0.513746 | − | 0.857943i | \(-0.671742\pi\) |
−0.110917 | + | 0.993830i | \(0.535379\pi\) | |||||||
\(258\) | −7.02697 | − | 9.38694i | −0.437480 | − | 0.584405i | ||||
\(259\) | −2.75677 | − | 4.28961i | −0.171297 | − | 0.266544i | ||||
\(260\) | 4.47435 | − | 7.47389i | 0.277488 | − | 0.463511i | ||||
\(261\) | −5.35543 | − | 6.18049i | −0.331493 | − | 0.382563i | ||||
\(262\) | 8.09206 | + | 6.05764i | 0.499929 | + | 0.374242i | ||||
\(263\) | 3.79624 | + | 10.1781i | 0.234086 | + | 0.627610i | 0.999880 | − | 0.0154761i | \(-0.00492641\pi\) |
−0.765794 | + | 0.643086i | \(0.777654\pi\) | |||||||
\(264\) | −5.65588 | + | 1.66072i | −0.348096 | + | 0.102210i | ||||
\(265\) | 15.7649 | + | 12.8069i | 0.968430 | + | 0.786721i | ||||
\(266\) | 1.18934 | − | 2.60429i | 0.0729229 | − | 0.159679i | ||||
\(267\) | −0.904610 | + | 1.20842i | −0.0553612 | + | 0.0739539i | ||||
\(268\) | 14.0116 | + | 1.00213i | 0.855896 | + | 0.0612149i | ||||
\(269\) | 0.155333 | − | 0.0709382i | 0.00947083 | − | 0.00432518i | −0.410674 | − | 0.911782i | \(-0.634707\pi\) |
0.420145 | + | 0.907457i | \(0.361979\pi\) | |||||||
\(270\) | 2.06921 | − | 0.847564i | 0.125928 | − | 0.0515811i | ||||
\(271\) | −3.24048 | + | 22.5380i | −0.196845 | + | 1.36909i | 0.616523 | + | 0.787337i | \(0.288541\pi\) |
−0.813368 | + | 0.581750i | \(0.802368\pi\) | |||||||
\(272\) | 0.756701 | + | 3.47850i | 0.0458817 | + | 0.210915i | ||||
\(273\) | 0.215571 | + | 3.01407i | 0.0130469 | + | 0.182420i | ||||
\(274\) | 13.9338 | + | 4.09132i | 0.841770 | + | 0.247166i | ||||
\(275\) | 10.5171 | − | 27.5330i | 0.634202 | − | 1.66030i | ||||
\(276\) | −4.52767 | − | 1.58120i | −0.272534 | − | 0.0951769i | ||||
\(277\) | −0.179460 | + | 0.179460i | −0.0107827 | + | 0.0107827i | −0.712478 | − | 0.701695i | \(-0.752427\pi\) |
0.701695 | + | 0.712478i | \(0.252427\pi\) | |||||||
\(278\) | 4.04966 | + | 7.41640i | 0.242882 | + | 0.444806i | ||||
\(279\) | −0.525998 | − | 0.455780i | −0.0314907 | − | 0.0272868i | ||||
\(280\) | 1.26480 | + | 1.18690i | 0.0755861 | + | 0.0709310i | ||||
\(281\) | −0.142098 | − | 0.0204307i | −0.00847688 | − | 0.00121879i | 0.138075 | − | 0.990422i | \(-0.455908\pi\) |
−0.146552 | + | 0.989203i | \(0.546818\pi\) | |||||||
\(282\) | −0.263129 | + | 1.20958i | −0.0156691 | + | 0.0720296i | ||||
\(283\) | −30.2609 | − | 11.2867i | −1.79883 | − | 0.670928i | −0.997338 | − | 0.0729171i | \(-0.976769\pi\) |
−0.801488 | − | 0.598010i | \(-0.795958\pi\) | |||||||
\(284\) | 5.82929 | − | 5.05111i | 0.345905 | − | 0.299728i | ||||
\(285\) | 5.60003 | + | 6.06256i | 0.331717 | + | 0.359115i | ||||
\(286\) | 20.8881 | + | 9.53930i | 1.23514 | + | 0.564070i | ||||
\(287\) | −0.103279 | − | 0.0563947i | −0.00609638 | − | 0.00332888i | ||||
\(288\) | 0.877679 | + | 0.479249i | 0.0517177 | + | 0.0282400i | ||||
\(289\) | −3.93639 | − | 1.79769i | −0.231553 | − | 0.105747i | ||||
\(290\) | 12.4079 | + | 13.4327i | 0.728619 | + | 0.788798i | ||||
\(291\) | 3.72245 | − | 3.22552i | 0.218214 | − | 0.189083i | ||||
\(292\) | −0.472545 | − | 0.176250i | −0.0276536 | − | 0.0103143i | ||||
\(293\) | 1.08344 | − | 4.98049i | 0.0632952 | − | 0.290963i | −0.934609 | − | 0.355678i | \(-0.884250\pi\) |
0.997904 | + | 0.0647144i | \(0.0206136\pi\) | |||||||
\(294\) | 6.33318 | + | 0.910574i | 0.369359 | + | 0.0531058i | ||||
\(295\) | −20.9588 | − | 19.6680i | −1.22027 | − | 1.14512i | ||||
\(296\) | 4.96801 | + | 4.30481i | 0.288760 | + | 0.250212i | ||||
\(297\) | 2.82501 | + | 5.17362i | 0.163924 | + | 0.300204i | ||||
\(298\) | −13.8903 | + | 13.8903i | −0.804644 | + | 0.804644i | ||||
\(299\) | 9.29618 | + | 16.2057i | 0.537612 | + | 0.937198i | ||||
\(300\) | −4.56438 | + | 2.04119i | −0.263525 | + | 0.117848i | ||||
\(301\) | −8.72707 | − | 2.56250i | −0.503020 | − | 0.147700i | ||||
\(302\) | −0.636770 | − | 8.90321i | −0.0366420 | − | 0.512322i | ||||
\(303\) | −2.18103 | − | 10.0261i | −0.125297 | − | 0.575982i | ||||
\(304\) | −0.525275 | + | 3.65337i | −0.0301266 | + | 0.209535i | ||||
\(305\) | 27.0573 | − | 11.0829i | 1.54930 | − | 0.634604i | ||||
\(306\) | 3.23815 | − | 1.47882i | 0.185113 | − | 0.0845383i | ||||
\(307\) | 12.4573 | + | 0.890962i | 0.710974 | + | 0.0508499i | 0.422142 | − | 0.906530i | \(-0.361278\pi\) |
0.288833 | + | 0.957380i | \(0.406733\pi\) | |||||||
\(308\) | −2.74014 | + | 3.66040i | −0.156134 | + | 0.208571i | ||||
\(309\) | −6.72847 | + | 14.7333i | −0.382769 | + | 0.838148i | ||||
\(310\) | 1.20794 | + | 0.981290i | 0.0686063 | + | 0.0557335i | ||||
\(311\) | 5.80163 | − | 1.70351i | 0.328980 | − | 0.0965974i | −0.113071 | − | 0.993587i | \(-0.536069\pi\) |
0.442052 | + | 0.896989i | \(0.354251\pi\) | |||||||
\(312\) | −1.36138 | − | 3.64999i | −0.0770727 | − | 0.206640i | ||||
\(313\) | −4.96472 | − | 3.71654i | −0.280622 | − | 0.210071i | 0.449690 | − | 0.893185i | \(-0.351535\pi\) |
−0.730312 | + | 0.683113i | \(0.760625\pi\) | |||||||
\(314\) | −11.7815 | − | 13.5966i | −0.664869 | − | 0.767299i | ||||
\(315\) | 0.890925 | − | 1.48819i | 0.0501980 | − | 0.0838499i | ||||
\(316\) | −8.43740 | − | 13.1288i | −0.474641 | − | 0.738555i | ||||
\(317\) | 8.02425 | + | 10.7191i | 0.450687 | + | 0.602047i | 0.967133 | − | 0.254273i | \(-0.0818361\pi\) |
−0.516446 | + | 0.856320i | \(0.672745\pi\) | |||||||
\(318\) | 8.87590 | − | 1.93083i | 0.497736 | − | 0.108276i | ||||
\(319\) | −31.5684 | + | 36.4319i | −1.76749 | + | 2.03980i | ||||
\(320\) | −1.99559 | − | 1.00877i | −0.111557 | − | 0.0563919i | ||||
\(321\) | − | 15.0799i | − | 0.841676i | ||||||
\(322\) | −3.54657 | + | 1.12282i | −0.197642 | + | 0.0625724i | ||||
\(323\) | 9.29080 | + | 9.29080i | 0.516954 | + | 0.516954i | ||||
\(324\) | 0.281733 | − | 0.959493i | 0.0156518 | − | 0.0533052i | ||||
\(325\) | 18.6452 | + | 5.63463i | 1.03425 | + | 0.312553i | ||||
\(326\) | −9.68603 | − | 6.22483i | −0.536460 | − | 0.344762i | ||||
\(327\) | 9.75292 | − | 7.30095i | 0.539338 | − | 0.403743i | ||||
\(328\) | 0.148235 | + | 0.0322465i | 0.00818491 | + | 0.00178052i | ||||
\(329\) | 0.398882 | + | 0.873429i | 0.0219911 | + | 0.0481537i | ||||
\(330\) | −6.68110 | − | 11.3621i | −0.367783 | − | 0.625465i | ||||
\(331\) | 1.61451 | + | 11.2292i | 0.0887416 | + | 0.617212i | 0.984854 | + | 0.173385i | \(0.0554704\pi\) |
−0.896113 | + | 0.443827i | \(0.853621\pi\) | |||||||
\(332\) | 3.28295 | − | 1.22448i | 0.180175 | − | 0.0672019i | ||||
\(333\) | 3.15040 | − | 5.76953i | 0.172641 | − | 0.316168i | ||||
\(334\) | −0.444854 | − | 1.51503i | −0.0243413 | − | 0.0828990i | ||||
\(335\) | 5.45533 | + | 30.9336i | 0.298057 | + | 1.69008i | ||||
\(336\) | 0.767791 | − | 0.110392i | 0.0418865 | − | 0.00602236i | ||||
\(337\) | −1.68486 | + | 23.5574i | −0.0917803 | + | 1.28326i | 0.717801 | + | 0.696248i | \(0.245149\pi\) |
−0.809581 | + | 0.587008i | \(0.800306\pi\) | |||||||
\(338\) | −0.760355 | + | 2.03859i | −0.0413579 | + | 0.110885i | ||||
\(339\) | 9.81847 | − | 6.30994i | 0.533266 | − | 0.342709i | ||||
\(340\) | −7.13207 | + | 3.53500i | −0.386791 | + | 0.191712i | ||||
\(341\) | −2.21806 | + | 3.45137i | −0.120115 | + | 0.186902i | ||||
\(342\) | 3.68153 | − | 0.263308i | 0.199074 | − | 0.0142381i | ||||
\(343\) | 9.12162 | − | 4.98078i | 0.492521 | − | 0.268937i | ||||
\(344\) | 11.7257 | 0.632209 | ||||||||
\(345\) | 0.964132 | − | 10.6804i | 0.0519071 | − | 0.575012i | ||||
\(346\) | 13.7159 | 0.737371 | ||||||||
\(347\) | 11.4087 | − | 6.22962i | 0.612451 | − | 0.334424i | −0.142907 | − | 0.989736i | \(-0.545645\pi\) |
0.755358 | + | 0.655313i | \(0.227463\pi\) | |||||||
\(348\) | 8.15713 | − | 0.583409i | 0.437268 | − | 0.0312740i | ||||
\(349\) | 7.40403 | − | 11.5209i | 0.396329 | − | 0.616699i | −0.584541 | − | 0.811364i | \(-0.698726\pi\) |
0.980870 | + | 0.194665i | \(0.0623619\pi\) | |||||||
\(350\) | −1.88549 | + | 3.38927i | −0.100784 | + | 0.181164i | ||||
\(351\) | −3.27720 | + | 2.10613i | −0.174924 | + | 0.112417i | ||||
\(352\) | 2.05997 | − | 5.52300i | 0.109797 | − | 0.294377i | ||||
\(353\) | 1.53683 | − | 21.4877i | 0.0817971 | − | 1.14367i | −0.776361 | − | 0.630288i | \(-0.782937\pi\) |
0.858158 | − | 0.513385i | \(-0.171609\pi\) | |||||||
\(354\) | −12.7230 | + | 1.82929i | −0.676219 | + | 0.0972256i | ||||
\(355\) | 14.1285 | + | 9.89229i | 0.749863 | + | 0.525028i | ||||
\(356\) | −0.425275 | − | 1.44835i | −0.0225395 | − | 0.0767626i | ||||
\(357\) | 1.32336 | − | 2.42356i | 0.0700399 | − | 0.128268i | ||||
\(358\) | 2.51662 | − | 0.938652i | 0.133008 | − | 0.0496093i | ||||
\(359\) | 3.24093 | + | 22.5412i | 0.171050 | + | 1.18968i | 0.876672 | + | 0.481088i | \(0.159758\pi\) |
−0.705622 | + | 0.708588i | \(0.749333\pi\) | |||||||
\(360\) | −0.561523 | + | 2.16442i | −0.0295948 | + | 0.114075i | ||||
\(361\) | −2.23369 | − | 4.89109i | −0.117562 | − | 0.257426i | ||||
\(362\) | −19.5516 | − | 4.25320i | −1.02761 | − | 0.223543i | ||||
\(363\) | 19.0105 | − | 14.2311i | 0.997790 | − | 0.746937i | ||||
\(364\) | −2.54208 | − | 1.63369i | −0.133241 | − | 0.0856288i | ||||
\(365\) | 0.124966 | − | 1.12080i | 0.00654101 | − | 0.0586655i | ||||
\(366\) | 3.68398 | − | 12.5465i | 0.192565 | − | 0.655815i | ||||
\(367\) | −17.0929 | − | 17.0929i | −0.892242 | − | 0.892242i | 0.102492 | − | 0.994734i | \(-0.467318\pi\) |
−0.994734 | + | 0.102492i | \(0.967318\pi\) | |||||||
\(368\) | 3.97915 | − | 2.67701i | 0.207427 | − | 0.139549i | ||||
\(369\) | − | 0.151702i | − | 0.00789728i | ||||||
\(370\) | −6.63127 | + | 13.1183i | −0.344743 | + | 0.681986i | ||||
\(371\) | 4.61411 | − | 5.32497i | 0.239553 | − | 0.276458i | ||||
\(372\) | 0.680090 | − | 0.147944i | 0.0352610 | − | 0.00767056i | ||||
\(373\) | 3.32475 | + | 4.44134i | 0.172149 | + | 0.229964i | 0.878315 | − | 0.478082i | \(-0.158668\pi\) |
−0.706166 | + | 0.708046i | \(0.749577\pi\) | |||||||
\(374\) | −11.3449 | − | 17.6530i | −0.586629 | − | 0.912813i | ||||
\(375\) | −6.91198 | − | 8.78775i | −0.356933 | − | 0.453798i | ||||
\(376\) | −0.810634 | − | 0.935521i | −0.0418052 | − | 0.0482458i | ||||
\(377\) | −25.5038 | − | 19.0919i | −1.31351 | − | 0.983282i | ||||
\(378\) | −0.271075 | − | 0.726780i | −0.0139426 | − | 0.0373815i | ||||
\(379\) | 12.7300 | − | 3.73787i | 0.653897 | − | 0.192001i | 0.0620764 | − | 0.998071i | \(-0.480228\pi\) |
0.591820 | + | 0.806070i | \(0.298410\pi\) | |||||||
\(380\) | −8.20930 | + | 0.849901i | −0.421128 | + | 0.0435990i | ||||
\(381\) | 2.13126 | − | 4.66682i | 0.109188 | − | 0.239088i | ||||
\(382\) | 3.25034 | − | 4.34195i | 0.166302 | − | 0.222154i | ||||
\(383\) | −6.43509 | − | 0.460246i | −0.328817 | − | 0.0235175i | −0.0940453 | − | 0.995568i | \(-0.529980\pi\) |
−0.234772 | + | 0.972050i | \(0.575434\pi\) | |||||||
\(384\) | −0.909632 | + | 0.415415i | −0.0464195 | + | 0.0211991i | ||||
\(385\) | −9.43046 | − | 3.94981i | −0.480621 | − | 0.201301i | ||||
\(386\) | 2.18493 | − | 15.1965i | 0.111210 | − | 0.773484i | ||||
\(387\) | −2.49248 | − | 11.4578i | −0.126700 | − | 0.582431i | ||||
\(388\) | 0.351381 | + | 4.91295i | 0.0178387 | + | 0.249417i | ||||
\(389\) | −21.1877 | − | 6.22126i | −1.07426 | − | 0.315430i | −0.303678 | − | 0.952775i | \(-0.598215\pi\) |
−0.770579 | + | 0.637344i | \(0.780033\pi\) | |||||||
\(390\) | 7.17478 | − | 4.93978i | 0.363309 | − | 0.250135i | ||||
\(391\) | 0.859901 | − | 17.0508i | 0.0434871 | − | 0.862295i | ||||
\(392\) | −4.52429 | + | 4.52429i | −0.228511 | + | 0.228511i | ||||
\(393\) | 4.84436 | + | 8.87179i | 0.244366 | + | 0.447522i | ||||
\(394\) | 10.6220 | + | 9.20398i | 0.535127 | + | 0.463690i | ||||
\(395\) | 23.8797 | − | 25.4469i | 1.20152 | − | 1.28037i | ||||
\(396\) | −5.83466 | − | 0.838898i | −0.293203 | − | 0.0421562i | ||||
\(397\) | 3.48642 | − | 16.0268i | 0.174979 | − | 0.804363i | −0.803053 | − | 0.595907i | \(-0.796793\pi\) |
0.978032 | − | 0.208456i | \(-0.0668438\pi\) | |||||||
\(398\) | 1.36444 | + | 0.508911i | 0.0683934 | + | 0.0255094i | ||||
\(399\) | 2.16372 | − | 1.87487i | 0.108321 | − | 0.0938610i | ||||
\(400\) | 1.10128 | − | 4.87721i | 0.0550638 | − | 0.243861i | ||||
\(401\) | 22.6478 | + | 10.3429i | 1.13098 | + | 0.516501i | 0.890876 | − | 0.454247i | \(-0.150092\pi\) |
0.240103 | + | 0.970747i | \(0.422819\pi\) | |||||||
\(402\) | 12.3291 | + | 6.73221i | 0.614920 | + | 0.335772i | ||||
\(403\) | −2.37967 | − | 1.29940i | −0.118540 | − | 0.0647277i | ||||
\(404\) | 9.33332 | + | 4.26238i | 0.464350 | + | 0.212061i | ||||
\(405\) | 2.23431 | + | 0.0886105i | 0.111024 | + | 0.00440309i | ||||
\(406\) | 4.79413 | − | 4.15414i | 0.237929 | − | 0.206166i | ||||
\(407\) | −36.3061 | − | 13.5415i | −1.79963 | − | 0.671226i | ||||
\(408\) | −0.756701 | + | 3.47850i | −0.0374623 | + | 0.172211i | ||||
\(409\) | 5.08236 | + | 0.730732i | 0.251306 | + | 0.0361324i | 0.266817 | − | 0.963747i | \(-0.414028\pi\) |
−0.0155103 | + | 0.999880i | \(0.504937\pi\) | |||||||
\(410\) | 0.0107722 | + | 0.339045i | 0.000532002 | + | 0.0167442i | ||||
\(411\) | 10.9750 | + | 9.50989i | 0.541357 | + | 0.469088i | ||||
\(412\) | −7.76239 | − | 14.2158i | −0.382425 | − | 0.700360i | ||||
\(413\) | −7.05023 | + | 7.05023i | −0.346919 | + | 0.346919i | ||||
\(414\) | −3.46166 | − | 3.31917i | −0.170131 | − | 0.163128i | ||||
\(415\) | 4.44304 | + | 6.45329i | 0.218100 | + | 0.316780i | ||||
\(416\) | 3.73781 | + | 1.09752i | 0.183261 | + | 0.0538103i | ||||
\(417\) | 0.602817 | + | 8.42848i | 0.0295201 | + | 0.412745i | ||||
\(418\) | −4.62474 | − | 21.2596i | −0.226204 | − | 1.03984i | ||||
\(419\) | 3.22085 | − | 22.4015i | 0.157349 | − | 1.09439i | −0.746144 | − | 0.665784i | \(-0.768097\pi\) |
0.903493 | − | 0.428602i | \(-0.140994\pi\) | |||||||
\(420\) | 0.657444 | + | 1.60506i | 0.0320800 | + | 0.0783189i | ||||
\(421\) | −0.0852494 | + | 0.0389321i | −0.00415480 | + | 0.00189743i | −0.417491 | − | 0.908681i | \(-0.637091\pi\) |
0.413337 | + | 0.910578i | \(0.364363\pi\) | |||||||
\(422\) | −7.82769 | − | 0.559848i | −0.381046 | − | 0.0272530i | ||||
\(423\) | −0.741829 | + | 0.990967i | −0.0360690 | + | 0.0481825i | ||||
\(424\) | −3.77342 | + | 8.26263i | −0.183253 | + | 0.401269i | ||||
\(425\) | −11.5497 | − | 13.5432i | −0.560244 | − | 0.656940i | ||||
\(426\) | 7.40082 | − | 2.17308i | 0.358571 | − | 0.105286i | ||||
\(427\) | −3.54462 | − | 9.50349i | −0.171536 | − | 0.459906i | ||||
\(428\) | 12.0720 | + | 9.03702i | 0.583525 | + | 0.436821i | ||||
\(429\) | 15.0378 | + | 17.3545i | 0.726030 | + | 0.837883i | ||||
\(430\) | 6.38416 | + | 25.4304i | 0.307872 | + | 1.22636i | ||||
\(431\) | −0.836111 | − | 1.30101i | −0.0402740 | − | 0.0626676i | 0.820533 | − | 0.571599i | \(-0.193677\pi\) |
−0.860807 | + | 0.508932i | \(0.830041\pi\) | |||||||
\(432\) | 0.599278 | + | 0.800541i | 0.0288328 | + | 0.0385161i | ||||
\(433\) | −3.53880 | + | 0.769818i | −0.170064 | + | 0.0369951i | −0.296791 | − | 0.954943i | \(-0.595916\pi\) |
0.126727 | + | 0.991938i | \(0.459553\pi\) | |||||||
\(434\) | 0.353543 | − | 0.408010i | 0.0169706 | − | 0.0195851i | ||||
\(435\) | 5.70649 | + | 17.3733i | 0.273605 | + | 0.832986i | ||||
\(436\) | 12.1829i | 0.583456i | ||||||||
\(437\) | 7.01340 | − | 16.2524i | 0.335496 | − | 0.777459i | ||||
\(438\) | −0.356625 | − | 0.356625i | −0.0170402 | − | 0.0170402i | ||||
\(439\) | −0.567656 | + | 1.93326i | −0.0270928 | + | 0.0922695i | −0.971930 | − | 0.235272i | \(-0.924402\pi\) |
0.944837 | + | 0.327541i | \(0.106220\pi\) | |||||||
\(440\) | 13.0997 | + | 1.46057i | 0.624503 | + | 0.0696300i | ||||
\(441\) | 5.38260 | + | 3.45919i | 0.256314 | + | 0.164723i | ||||
\(442\) | 11.1017 | − | 8.31066i | 0.528056 | − | 0.395298i | ||||
\(443\) | −5.41278 | − | 1.17748i | −0.257169 | − | 0.0559437i | 0.0821323 | − | 0.996621i | \(-0.473827\pi\) |
−0.339301 | + | 0.940678i | \(0.610191\pi\) | |||||||
\(444\) | 2.73078 | + | 5.97958i | 0.129597 | + | 0.283778i | ||||
\(445\) | 2.90960 | − | 1.71089i | 0.137928 | − | 0.0811040i | ||||
\(446\) | 0.0318481 | + | 0.221508i | 0.00150805 | + | 0.0104887i | ||||
\(447\) | −18.4053 | + | 6.86482i | −0.870541 | + | 0.324695i | ||||
\(448\) | −0.371747 | + | 0.680804i | −0.0175634 | + | 0.0321650i | ||||
\(449\) | −3.06691 | − | 10.4450i | −0.144737 | − | 0.492928i | 0.854930 | − | 0.518743i | \(-0.173600\pi\) |
−0.999667 | + | 0.0258155i | \(0.991782\pi\) | |||||||
\(450\) | −4.99984 | − | 0.0393825i | −0.235695 | − | 0.00185651i | ||||
\(451\) | −0.885129 | + | 0.127262i | −0.0416791 | + | 0.00599255i | ||||
\(452\) | −0.832616 | + | 11.6415i | −0.0391630 | + | 0.547570i | ||||
\(453\) | 3.11930 | − | 8.36317i | 0.146558 | − | 0.392936i | ||||
\(454\) | 0.500209 | − | 0.321465i | 0.0234760 | − | 0.0150871i | ||||
\(455\) | 2.15906 | − | 6.40266i | 0.101218 | − | 0.300161i | ||||
\(456\) | −1.99547 | + | 3.10501i | −0.0934465 | + | 0.145406i | ||||
\(457\) | 15.0313 | − | 1.07506i | 0.703132 | − | 0.0502890i | 0.284805 | − | 0.958585i | \(-0.408071\pi\) |
0.418327 | + | 0.908296i | \(0.362617\pi\) | |||||||
\(458\) | −0.314966 | + | 0.171984i | −0.0147174 | + | 0.00803630i | ||||
\(459\) | 3.55985 | 0.166160 | ||||||||
\(460\) | 7.97230 | + | 7.17234i | 0.371710 | + | 0.334412i | ||||
\(461\) | −20.1085 | −0.936547 | −0.468274 | − | 0.883584i | \(-0.655124\pi\) | ||||
−0.468274 | + | 0.883584i | \(0.655124\pi\) | |||||||
\(462\) | −4.01311 | + | 2.19132i | −0.186707 | + | 0.101950i | ||||
\(463\) | −15.4499 | + | 1.10500i | −0.718017 | + | 0.0513536i | −0.425567 | − | 0.904927i | \(-0.639925\pi\) |
−0.292451 | + | 0.956281i | \(0.594471\pi\) | |||||||
\(464\) | −4.42134 | + | 6.87974i | −0.205256 | + | 0.319384i | ||||
\(465\) | 0.691137 | + | 1.39441i | 0.0320507 | + | 0.0646642i | ||||
\(466\) | −13.8559 | + | 8.90468i | −0.641864 | + | 0.412501i | ||||
\(467\) | −4.71479 | + | 12.6409i | −0.218175 | + | 0.584949i | −0.999218 | − | 0.0395273i | \(-0.987415\pi\) |
0.781044 | + | 0.624476i | \(0.214688\pi\) | |||||||
\(468\) | 0.277910 | − | 3.88568i | 0.0128464 | − | 0.179616i | ||||
\(469\) | 10.7855 | − | 1.55072i | 0.498027 | − | 0.0716055i | ||||
\(470\) | 1.58758 | − | 2.26743i | 0.0732294 | − | 0.104589i | ||||
\(471\) | −5.06861 | − | 17.2621i | −0.233549 | − | 0.795395i | ||||
\(472\) | 6.16018 | − | 11.2815i | 0.283545 | − | 0.519274i | ||||
\(473\) | −64.7612 | + | 24.1547i | −2.97773 | + | 1.11063i | ||||
\(474\) | −2.22101 | − | 15.4474i | −0.102014 | − | 0.709524i | ||||
\(475\) | −6.31285 | − | 17.3414i | −0.289654 | − | 0.795676i | ||||
\(476\) | 1.14710 | + | 2.51179i | 0.0525771 | + | 0.115128i | ||||
\(477\) | 8.87590 | + | 1.93083i | 0.406399 | + | 0.0884068i | ||||
\(478\) | −14.9041 | + | 11.1570i | −0.681696 | + | 0.510311i | ||||
\(479\) | 23.0458 | + | 14.8106i | 1.05299 | + | 0.676714i | 0.948166 | − | 0.317777i | \(-0.102936\pi\) |
0.104822 | + | 0.994491i | \(0.466573\pi\) | |||||||
\(480\) | −1.39620 | − | 1.74661i | −0.0637273 | − | 0.0797214i | ||||
\(481\) | 7.21468 | − | 24.5710i | 0.328961 | − | 1.12034i | ||||
\(482\) | 0.625343 | + | 0.625343i | 0.0284836 | + | 0.0284836i | ||||
\(483\) | −3.69251 | − | 0.451943i | −0.168015 | − | 0.0205641i | ||||
\(484\) | 23.7470i | 1.07941i | ||||||||
\(485\) | −10.4638 | + | 3.43696i | −0.475135 | + | 0.156064i | ||||
\(486\) | 0.654861 | − | 0.755750i | 0.0297051 | − | 0.0342815i | ||||
\(487\) | 1.49402 | − | 0.325004i | 0.0677005 | − | 0.0147274i | −0.178587 | − | 0.983924i | \(-0.557153\pi\) |
0.246288 | + | 0.969197i | \(0.420789\pi\) | |||||||
\(488\) | 7.83625 | + | 10.4680i | 0.354731 | + | 0.473864i | ||||
\(489\) | −6.22483 | − | 9.68603i | −0.281497 | − | 0.438018i | ||||
\(490\) | −12.2754 | − | 7.34886i | −0.554547 | − | 0.331988i | ||||
\(491\) | 11.0808 | + | 12.7879i | 0.500069 | + | 0.577111i | 0.948528 | − | 0.316693i | \(-0.102572\pi\) |
−0.448459 | + | 0.893803i | \(0.648027\pi\) | |||||||
\(492\) | 0.121444 | + | 0.0909115i | 0.00547510 | + | 0.00409861i | ||||
\(493\) | 10.1737 | + | 27.2768i | 0.458201 | + | 1.22849i | ||||
\(494\) | 13.7960 | − | 4.05088i | 0.620712 | − | 0.182257i | ||||
\(495\) | −1.35735 | − | 13.1108i | −0.0610082 | − | 0.589286i | ||||
\(496\) | −0.289127 | + | 0.633100i | −0.0129822 | + | 0.0284270i | ||||
\(497\) | 3.58552 | − | 4.78970i | 0.160833 | − | 0.214847i | ||||
\(498\) | 3.49494 | + | 0.249963i | 0.156612 | + | 0.0112011i | ||||
\(499\) | −11.8295 | + | 5.40235i | −0.529561 | + | 0.241843i | −0.662207 | − | 0.749321i | \(-0.730380\pi\) |
0.132646 | + | 0.991164i | \(0.457653\pi\) | |||||||
\(500\) | 11.1772 | − | 0.267018i | 0.499857 | − | 0.0119414i | ||||
\(501\) | 0.224714 | − | 1.56292i | 0.0100395 | − | 0.0698262i | ||||
\(502\) | −0.691571 | − | 3.17910i | −0.0308663 | − | 0.141890i | ||||
\(503\) | 2.05131 | + | 28.6811i | 0.0914634 | + | 1.27883i | 0.811279 | + | 0.584660i | \(0.198772\pi\) |
−0.719815 | + | 0.694166i | \(0.755773\pi\) | |||||||
\(504\) | 0.744266 | + | 0.218536i | 0.0331522 | + | 0.00973438i | ||||
\(505\) | −4.16254 | + | 22.5625i | −0.185231 | + | 1.00402i | ||||
\(506\) | −16.4623 | + | 22.9821i | −0.731837 | + | 1.02168i | ||||
\(507\) | −1.53851 | + | 1.53851i | −0.0683274 | + | 0.0683274i | ||||
\(508\) | 2.45876 | + | 4.50288i | 0.109090 | + | 0.199783i | ||||
\(509\) | 25.7347 | + | 22.2992i | 1.14067 | + | 0.988396i | 0.999999 | − | 0.00166013i | \(-0.000528435\pi\) |
0.140671 | + | 0.990056i | \(0.455074\pi\) | |||||||
\(510\) | −7.95605 | + | 0.252782i | −0.352300 | + | 0.0111934i | ||||
\(511\) | −0.387231 | − | 0.0556754i | −0.0171301 | − | 0.00246294i | ||||
\(512\) | 0.212565 | − | 0.977147i | 0.00939415 | − | 0.0431842i | ||||
\(513\) | 3.45822 | + | 1.28985i | 0.152684 | + | 0.0569483i | ||||
\(514\) | 7.74516 | − | 6.71122i | 0.341624 | − | 0.296019i | ||||
\(515\) | 26.6044 | − | 24.5747i | 1.17233 | − | 1.08289i | ||||
\(516\) | 10.6661 | + | 4.87105i | 0.469549 | + | 0.214436i | ||||
\(517\) | 6.40428 | + | 3.49700i | 0.281660 | + | 0.153798i | ||||
\(518\) | 4.47535 | + | 2.44373i | 0.196636 | + | 0.107371i | ||||
\(519\) | 12.4764 | + | 5.69779i | 0.547654 | + | 0.250105i | ||||
\(520\) | −0.345192 | + | 8.70401i | −0.0151377 | + | 0.381696i | ||||
\(521\) | 33.1732 | − | 28.7448i | 1.45334 | − | 1.25933i | 0.546772 | − | 0.837282i | \(-0.315856\pi\) |
0.906573 | − | 0.422049i | \(-0.138689\pi\) | |||||||
\(522\) | 7.66234 | + | 2.85791i | 0.335372 | + | 0.125087i | ||||
\(523\) | −4.58828 | + | 21.0920i | −0.200631 | + | 0.922287i | 0.761173 | + | 0.648549i | \(0.224624\pi\) |
−0.961804 | + | 0.273738i | \(0.911740\pi\) | |||||||
\(524\) | −10.0053 | − | 1.43855i | −0.437086 | − | 0.0628434i | ||||
\(525\) | −3.12306 | + | 2.29973i | −0.136301 | + | 0.100369i | ||||
\(526\) | −8.20974 | − | 7.11378i | −0.357962 | − | 0.310176i | ||||
\(527\) | 1.18741 | + | 2.17457i | 0.0517242 | + | 0.0947259i | ||||
\(528\) | 4.16815 | − | 4.16815i | 0.181396 | − | 0.181396i | ||||
\(529\) | −21.7766 | + | 7.40120i | −0.946811 | + | 0.321791i | ||||
\(530\) | −19.9742 | − | 3.68503i | −0.867624 | − | 0.160067i | ||||
\(531\) | −12.3331 | − | 3.62134i | −0.535213 | − | 0.157153i | ||||
\(532\) | 0.204245 | + | 2.85571i | 0.00885513 | + | 0.123811i | ||||
\(533\) | −0.125620 | − | 0.577466i | −0.00544120 | − | 0.0250128i | ||||
\(534\) | 0.214824 | − | 1.49414i | 0.00929635 | − | 0.0646576i | ||||
\(535\) | −13.0265 | + | 31.1018i | −0.563185 | + | 1.34465i | ||||
\(536\) | −12.7780 | + | 5.83551i | −0.551924 | + | 0.252055i | ||||
\(537\) | 2.67913 | + | 0.191615i | 0.115613 | + | 0.00826881i | ||||
\(538\) | −0.102336 | + | 0.136704i | −0.00441200 | + | 0.00589374i | ||||
\(539\) | 15.6677 | − | 34.3076i | 0.674857 | − | 1.47773i | ||||
\(540\) | −1.40991 | + | 1.73556i | −0.0606728 | + | 0.0746864i | ||||
\(541\) | −32.8758 | + | 9.65320i | −1.41344 | + | 0.415023i | −0.897277 | − | 0.441467i | \(-0.854458\pi\) |
−0.516163 | + | 0.856491i | \(0.672640\pi\) | |||||||
\(542\) | −7.95722 | − | 21.3341i | −0.341792 | − | 0.916379i | ||||
\(543\) | −16.0179 | − | 11.9909i | −0.687396 | − | 0.514578i | ||||
\(544\) | −2.33121 | − | 2.69036i | −0.0999497 | − | 0.115348i | ||||
\(545\) | −26.4219 | + | 6.63307i | −1.13179 | + | 0.284130i | ||||
\(546\) | −1.63369 | − | 2.54208i | −0.0699156 | − | 0.108791i | ||||
\(547\) | 11.4158 | + | 15.2497i | 0.488104 | + | 0.652031i | 0.975202 | − | 0.221316i | \(-0.0710353\pi\) |
−0.487098 | + | 0.873348i | \(0.661944\pi\) | |||||||
\(548\) | −14.1901 | + | 3.08688i | −0.606173 | + | 0.131865i | ||||
\(549\) | 8.56307 | − | 9.88231i | 0.365463 | − | 0.421767i | ||||
\(550\) | 3.96457 | + | 29.2054i | 0.169050 | + | 1.24532i | ||||
\(551\) | 30.1843i | 1.28590i | ||||||||
\(552\) | 4.73163 | − | 0.782098i | 0.201392 | − | 0.0332883i | ||||
\(553\) | −8.55995 | − | 8.55995i | −0.364006 | − | 0.364006i | ||||
\(554\) | 0.0715024 | − | 0.243515i | 0.00303785 | − | 0.0103460i | ||||
\(555\) | −11.4815 | + | 9.17806i | −0.487364 | + | 0.389587i | ||||
\(556\) | −7.10860 | − | 4.56842i | −0.301472 | − | 0.193744i | ||||
\(557\) | 29.1644 | − | 21.8322i | 1.23573 | − | 0.925059i | 0.236816 | − | 0.971554i | \(-0.423896\pi\) |
0.998919 | + | 0.0464950i | \(0.0148052\pi\) | |||||||
\(558\) | 0.680090 | + | 0.147944i | 0.0287905 | + | 0.00626299i | ||||
\(559\) | −18.9757 | − | 41.5510i | −0.802587 | − | 1.75742i | ||||
\(560\) | −1.67891 | − | 0.435566i | −0.0709468 | − | 0.0184060i | ||||
\(561\) | −2.98635 | − | 20.7705i | −0.126084 | − | 0.876932i | ||||
\(562\) | 0.134508 | − | 0.0501689i | 0.00567388 | − | 0.00211625i | ||||
\(563\) | −2.29063 | + | 4.19497i | −0.0965383 | + | 0.176797i | −0.921485 | − | 0.388414i | \(-0.873023\pi\) |
0.824947 | + | 0.565210i | \(0.191205\pi\) | |||||||
\(564\) | −0.348749 | − | 1.18773i | −0.0146850 | − | 0.0500124i | ||||
\(565\) | −25.7011 | + | 4.53254i | −1.08125 | + | 0.190685i | ||||
\(566\) | 31.9686 | − | 4.59638i | 1.34374 | − | 0.193200i | ||||
\(567\) | 0.0553369 | − | 0.773710i | 0.00232393 | − | 0.0324928i | ||||
\(568\) | −2.69551 | + | 7.22694i | −0.113101 | + | 0.303236i | ||||
\(569\) | 13.9007 | − | 8.93343i | 0.582747 | − | 0.374509i | −0.215803 | − | 0.976437i | \(-0.569237\pi\) |
0.798550 | + | 0.601928i | \(0.205601\pi\) | |||||||
\(570\) | −7.82051 | − | 2.63717i | −0.327565 | − | 0.110459i | ||||
\(571\) | 3.88753 | − | 6.04912i | 0.162688 | − | 0.253148i | −0.750333 | − | 0.661060i | \(-0.770107\pi\) |
0.913021 | + | 0.407913i | \(0.133743\pi\) | |||||||
\(572\) | −22.9048 | + | 1.63818i | −0.957697 | + | 0.0684959i | ||||
\(573\) | 4.76033 | − | 2.59934i | 0.198866 | − | 0.108589i | ||||
\(574\) | 0.117673 | 0.00491158 | ||||||||
\(575\) | −11.2146 | + | 21.1951i | −0.467680 | + | 0.883898i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | 12.5969 | − | 6.87840i | 0.524414 | − | 0.286352i | −0.195155 | − | 0.980772i | \(-0.562521\pi\) |
0.719569 | + | 0.694421i | \(0.244339\pi\) | |||||||
\(578\) | 4.31643 | − | 0.308717i | 0.179540 | − | 0.0128409i | ||||
\(579\) | 8.30036 | − | 12.9156i | 0.344951 | − | 0.536754i | ||||
\(580\) | −17.3278 | − | 5.84315i | −0.719498 | − | 0.242624i | ||||
\(581\) | 2.28645 | − | 1.46941i | 0.0948578 | − | 0.0609614i | ||||
\(582\) | −1.72129 | + | 4.61495i | −0.0713496 | + | 0.191296i | ||||
\(583\) | 3.81979 | − | 53.4076i | 0.158199 | − | 2.21192i | ||||
\(584\) | 0.499211 | − | 0.0717757i | 0.0206575 | − | 0.00297010i | ||||
\(585\) | 8.57847 | − | 1.51287i | 0.354676 | − | 0.0625493i | ||||
\(586\) | 1.43598 | + | 4.89051i | 0.0593199 | + | 0.202025i | ||||
\(587\) | −8.88271 | + | 16.2675i | −0.366629 | + | 0.671431i | −0.994249 | − | 0.107089i | \(-0.965847\pi\) |
0.627621 | + | 0.778519i | \(0.284029\pi\) | |||||||
\(588\) | −5.99489 | + | 2.23598i | −0.247225 | + | 0.0922103i | ||||
\(589\) | 0.365589 | + | 2.54273i | 0.0150638 | + | 0.104771i | ||||
\(590\) | 27.8210 | + | 7.21771i | 1.14537 | + | 0.297148i | ||||
\(591\) | 5.83861 | + | 12.7848i | 0.240168 | + | 0.525895i | ||||
\(592\) | −6.42339 | − | 1.39732i | −0.264000 | − | 0.0574297i | ||||
\(593\) | −21.0093 | + | 15.7274i | −0.862749 | + | 0.645846i | −0.936206 | − | 0.351452i | \(-0.885688\pi\) |
0.0734565 | + | 0.997298i | \(0.476597\pi\) | |||||||
\(594\) | −4.95890 | − | 3.18689i | −0.203466 | − | 0.130760i | ||||
\(595\) | −4.82296 | + | 3.85536i | −0.197722 | + | 0.158054i | ||||
\(596\) | 5.53431 | − | 18.8481i | 0.226694 | − | 0.772050i | ||||
\(597\) | 1.02973 | + | 1.02973i | 0.0421441 | + | 0.0421441i | ||||
\(598\) | −15.9256 | − | 9.76820i | −0.651247 | − | 0.399451i | ||||
\(599\) | 31.8778i | 1.30249i | 0.758867 | + | 0.651245i | \(0.225753\pi\) | ||||
−0.758867 | + | 0.651245i | \(0.774247\pi\) | |||||||
\(600\) | 3.02782 | − | 3.97898i | 0.123610 | − | 0.162441i | ||||
\(601\) | −8.96436 | + | 10.3454i | −0.365664 | + | 0.421998i | −0.908529 | − | 0.417821i | \(-0.862794\pi\) |
0.542866 | + | 0.839820i | \(0.317339\pi\) | |||||||
\(602\) | 8.88764 | − | 1.93339i | 0.362233 | − | 0.0787990i | ||||
\(603\) | 8.41830 | + | 11.2455i | 0.342820 | + | 0.457953i | ||||
\(604\) | 4.82573 | + | 7.50899i | 0.196356 | + | 0.305536i | ||||
\(605\) | −51.5018 | + | 12.9292i | −2.09385 | + | 0.525648i | ||||
\(606\) | 6.71923 | + | 7.75440i | 0.272950 | + | 0.315001i | ||||
\(607\) | 13.2885 | + | 9.94765i | 0.539364 | + | 0.403763i | 0.833932 | − | 0.551868i | \(-0.186085\pi\) |
−0.294568 | + | 0.955631i | \(0.595176\pi\) | |||||||
\(608\) | −1.28985 | − | 3.45822i | −0.0523103 | − | 0.140249i | ||||
\(609\) | 6.08658 | − | 1.78718i | 0.246641 | − | 0.0724203i | ||||
\(610\) | −18.4362 | + | 22.6944i | −0.746460 | + | 0.918870i | ||||
\(611\) | −2.00324 | + | 4.38649i | −0.0810425 | + | 0.177458i | ||||
\(612\) | −2.13334 | + | 2.84981i | −0.0862351 | + | 0.115197i | ||||
\(613\) | 42.3009 | + | 3.02542i | 1.70852 | + | 0.122195i | 0.891087 | − | 0.453833i | \(-0.149944\pi\) |
0.817429 | + | 0.576029i | \(0.195398\pi\) | |||||||
\(614\) | −11.3605 | + | 5.18816i | −0.458472 | + | 0.209377i | ||||
\(615\) | −0.131045 | + | 0.312881i | −0.00528426 | + | 0.0126166i | ||||
\(616\) | 0.650722 | − | 4.52587i | 0.0262183 | − | 0.182352i | ||||
\(617\) | 1.09836 | + | 5.04907i | 0.0442182 | + | 0.203268i | 0.993956 | − | 0.109778i | \(-0.0350141\pi\) |
−0.949738 | + | 0.313046i | \(0.898650\pi\) | |||||||
\(618\) | −1.15548 | − | 16.1557i | −0.0464802 | − | 0.649878i | ||||
\(619\) | −28.5794 | − | 8.39167i | −1.14870 | − | 0.337290i | −0.348670 | − | 0.937245i | \(-0.613367\pi\) |
−0.800033 | + | 0.599956i | \(0.795185\pi\) | |||||||
\(620\) | −1.53046 | − | 0.282354i | −0.0614650 | − | 0.0113396i | ||||
\(621\) | −1.77001 | − | 4.45725i | −0.0710279 | − | 0.178863i | ||||
\(622\) | −4.27557 | + | 4.27557i | −0.171435 | + | 0.171435i | ||||
\(623\) | −0.561152 | − | 1.02767i | −0.0224821 | − | 0.0411729i | ||||
\(624\) | 2.94411 | + | 2.55108i | 0.117859 | + | 0.102125i | ||||
\(625\) | 6.66458 | + | 24.0953i | 0.266583 | + | 0.963812i | ||||
\(626\) | 6.13858 | + | 0.882594i | 0.245347 | + | 0.0352755i | ||||
\(627\) | 4.62474 | − | 21.2596i | 0.184694 | − | 0.849026i | ||||
\(628\) | 16.8565 | + | 6.28716i | 0.672649 | + | 0.250885i | ||||
\(629\) | −17.6854 | + | 15.3245i | −0.705163 | + | 0.611027i | ||||
\(630\) | −0.0687340 | + | 1.73313i | −0.00273843 | + | 0.0690494i | ||||
\(631\) | 3.31772 | + | 1.51515i | 0.132076 | + | 0.0603173i | 0.480357 | − | 0.877073i | \(-0.340507\pi\) |
−0.348281 | + | 0.937390i | \(0.613234\pi\) | |||||||
\(632\) | 13.6973 | + | 7.47930i | 0.544850 | + | 0.297510i | ||||
\(633\) | −6.88775 | − | 3.76100i | −0.273764 | − | 0.149486i | ||||
\(634\) | −12.1799 | − | 5.56236i | −0.483724 | − | 0.220909i | ||||
\(635\) | −8.42703 | + | 7.78412i | −0.334417 | + | 0.308903i | ||||
\(636\) | −6.86484 | + | 5.94842i | −0.272209 | + | 0.235870i | ||||
\(637\) | 23.3538 | + | 8.71051i | 0.925310 | + | 0.345123i | ||||
\(638\) | 10.2470 | − | 47.1047i | 0.405682 | − | 1.86489i | ||||
\(639\) | 7.63475 | + | 1.09771i | 0.302026 | + | 0.0434248i | ||||
\(640\) | 2.23494 | − | 0.0710092i | 0.0883438 | − | 0.00280689i | ||||
\(641\) | 3.76074 | + | 3.25870i | 0.148540 | + | 0.128711i | 0.725961 | − | 0.687736i | \(-0.241395\pi\) |
−0.577421 | + | 0.816447i | \(0.695941\pi\) | |||||||
\(642\) | 7.22701 | + | 13.2353i | 0.285227 | + | 0.522355i | ||||
\(643\) | −31.9392 | + | 31.9392i | −1.25956 | + | 1.25956i | −0.308254 | + | 0.951304i | \(0.599745\pi\) |
−0.951304 | + | 0.308254i | \(0.900255\pi\) | |||||||
\(644\) | 2.57464 | − | 2.68517i | 0.101455 | − | 0.105810i | ||||
\(645\) | −4.75695 | + | 25.7844i | −0.187305 | + | 1.01526i | ||||
\(646\) | −12.6070 | − | 3.70173i | −0.496014 | − | 0.145643i | ||||
\(647\) | −1.73282 | − | 24.2280i | −0.0681243 | − | 0.952502i | −0.910473 | − | 0.413569i | \(-0.864282\pi\) |
0.842348 | − | 0.538933i | \(-0.181173\pi\) | |||||||
\(648\) | 0.212565 | + | 0.977147i | 0.00835035 | + | 0.0383860i | ||||
\(649\) | −10.7830 | + | 74.9976i | −0.423271 | + | 2.94392i | ||||
\(650\) | −19.0649 | + | 3.99032i | −0.747788 | + | 0.156513i | ||||
\(651\) | 0.491087 | − | 0.224272i | 0.0192472 | − | 0.00878991i | ||||
\(652\) | 11.4845 | + | 0.821386i | 0.449767 | + | 0.0321679i | ||||
\(653\) | 10.8204 | − | 14.4544i | 0.423436 | − | 0.565645i | −0.537199 | − | 0.843455i | \(-0.680518\pi\) |
0.960636 | + | 0.277810i | \(0.0896087\pi\) | |||||||
\(654\) | −5.06096 | + | 11.0820i | −0.197899 | + | 0.433339i | ||||
\(655\) | −2.32759 | − | 22.4825i | −0.0909466 | − | 0.878465i | ||||
\(656\) | −0.145557 | + | 0.0427393i | −0.00568304 | + | 0.00166869i | ||||
\(657\) | −0.176250 | − | 0.472545i | −0.00687618 | − | 0.0184357i | ||||
\(658\) | −0.768680 | − | 0.575427i | −0.0299663 | − | 0.0224325i | ||||
\(659\) | 28.8820 | + | 33.3316i | 1.12508 | + | 1.29841i | 0.949436 | + | 0.313962i | \(0.101656\pi\) |
0.175647 | + | 0.984453i | \(0.443798\pi\) | |||||||
\(660\) | 11.3092 | + | 6.77039i | 0.440208 | + | 0.263537i | ||||
\(661\) | 21.1067 | + | 32.8427i | 0.820956 | + | 1.27743i | 0.957972 | + | 0.286863i | \(0.0926125\pi\) |
−0.137016 | + | 0.990569i | \(0.543751\pi\) | |||||||
\(662\) | −6.79860 | − | 9.08186i | −0.264235 | − | 0.352977i | ||||
\(663\) | 13.5509 | − | 2.94781i | 0.526272 | − | 0.114483i | ||||
\(664\) | −2.29455 | + | 2.64805i | −0.0890457 | + | 0.102764i | ||||
\(665\) | −6.08219 | + | 1.99777i | −0.235857 | + | 0.0774704i | ||||
\(666\) | 6.57362i | 0.254723i | ||||||||
\(667\) | 29.0945 | − | 26.3008i | 1.12654 | − | 1.01837i | ||||
\(668\) | 1.11652 | + | 1.11652i | 0.0431994 | + | 0.0431994i | ||||
\(669\) | −0.0630478 | + | 0.214721i | −0.00243757 | + | 0.00830160i | ||||
\(670\) | −19.6129 | − | 24.5353i | −0.757714 | − | 0.947882i | ||||
\(671\) | −64.8434 | − | 41.6723i | −2.50325 | − | 1.60874i | ||||
\(672\) | −0.620969 | + | 0.464852i | −0.0239544 | + | 0.0179320i | ||||
\(673\) | −20.1841 | − | 4.39079i | −0.778042 | − | 0.169253i | −0.194027 | − | 0.980996i | \(-0.562155\pi\) |
−0.584014 | + | 0.811744i | \(0.698519\pi\) | |||||||
\(674\) | −9.81111 | − | 21.4833i | −0.377910 | − | 0.827507i | ||||
\(675\) | −4.53166 | − | 2.11283i | −0.174424 | − | 0.0813230i | ||||
\(676\) | −0.309645 | − | 2.15363i | −0.0119094 | − | 0.0828319i | ||||
\(677\) | −26.6235 | + | 9.93007i | −1.02323 | + | 0.381644i | −0.804380 | − | 0.594116i | \(-0.797502\pi\) |
−0.218847 | + | 0.975759i | \(0.570229\pi\) | |||||||
\(678\) | −5.59343 | + | 10.2436i | −0.214814 | + | 0.393403i | ||||
\(679\) | 1.07640 | + | 3.66588i | 0.0413085 | + | 0.140684i | ||||
\(680\) | 4.56552 | − | 6.52064i | 0.175080 | − | 0.250055i | ||||
\(681\) | 0.588547 | − | 0.0846203i | 0.0225532 | − | 0.00324266i | ||||
\(682\) | 0.292680 | − | 4.09220i | 0.0112073 | − | 0.156699i | ||||
\(683\) | −13.2463 | + | 35.5146i | −0.506854 | + | 1.35893i | 0.391711 | + | 0.920088i | \(0.371883\pi\) |
−0.898565 | + | 0.438841i | \(0.855389\pi\) | |||||||
\(684\) | −3.10501 | + | 1.99547i | −0.118723 | + | 0.0762987i | ||||
\(685\) | −14.4206 | − | 29.0945i | −0.550985 | − | 1.11164i | ||||
\(686\) | −5.61882 | + | 8.74306i | −0.214528 | + | 0.333811i | ||||
\(687\) | −0.357948 | + | 0.0256009i | −0.0136566 | + | 0.000976737i | ||||
\(688\) | −10.2914 | + | 5.61955i | −0.392357 | + | 0.214243i | ||||
\(689\) | 35.3857 | 1.34809 | ||||||||
\(690\) | 4.27236 | + | 9.83600i | 0.162646 | + | 0.374450i | ||||
\(691\) | 18.6399 | 0.709094 | 0.354547 | − | 0.935038i | \(-0.384635\pi\) | ||||
0.354547 | + | 0.935038i | \(0.384635\pi\) | |||||||
\(692\) | −12.0382 | + | 6.57333i | −0.457622 | + | 0.249881i | ||||
\(693\) | −4.56076 | + | 0.326192i | −0.173249 | + | 0.0123910i | ||||
\(694\) | −7.02764 | + | 10.9352i | −0.266765 | + | 0.415095i | ||||
\(695\) | 6.03753 | − | 17.9042i | 0.229017 | − | 0.679146i | ||||
\(696\) | −6.87974 | + | 4.42134i | −0.260776 | + | 0.167591i | ||||
\(697\) | −0.188723 | + | 0.505987i | −0.00714840 | + | 0.0191656i | ||||
\(698\) | −0.976984 | + | 13.6600i | −0.0369794 | + | 0.517039i | ||||
\(699\) | −16.3029 | + | 2.34401i | −0.616634 | + | 0.0886586i | ||||
\(700\) | 0.0305485 | − | 3.87831i | 0.00115462 | − | 0.146586i | ||||
\(701\) | −7.96685 | − | 27.1326i | −0.300904 | − | 1.02478i | −0.961674 | − | 0.274196i | \(-0.911588\pi\) |
0.660770 | − | 0.750588i | \(-0.270230\pi\) | |||||||
\(702\) | 1.86697 | − | 3.41909i | 0.0704641 | − | 0.129045i | ||||
\(703\) | −22.7330 | + | 8.47898i | −0.857393 | + | 0.319791i | ||||
\(704\) | 0.838898 | + | 5.83466i | 0.0316171 | + | 0.219902i | ||||
\(705\) | 2.38603 | − | 1.40302i | 0.0898632 | − | 0.0528409i | ||||
\(706\) | 8.94910 | + | 19.5958i | 0.336804 | + | 0.737498i | ||||
\(707\) | 7.77708 | + | 1.69180i | 0.292487 | + | 0.0636267i | ||||
\(708\) | 10.2900 | − | 7.70300i | 0.386722 | − | 0.289497i | ||||
\(709\) | 16.0724 | + | 10.3291i | 0.603613 | + | 0.387919i | 0.806457 | − | 0.591292i | \(-0.201382\pi\) |
−0.202844 | + | 0.979211i | \(0.565018\pi\) | |||||||
\(710\) | −17.1412 | − | 1.91118i | −0.643296 | − | 0.0717254i | ||||
\(711\) | 4.39680 | − | 14.9741i | 0.164893 | − | 0.561573i | ||||
\(712\) | 1.06738 | + | 1.06738i | 0.0400017 | + | 0.0400017i | ||||
\(713\) | 2.13236 | − | 2.56796i | 0.0798576 | − | 0.0961710i | ||||
\(714\) | 2.76133i | 0.103340i | ||||||||
\(715\) | −16.0235 | − | 48.7833i | −0.599246 | − | 1.82439i | ||||
\(716\) | −1.75894 | + | 2.02992i | −0.0657346 | + | 0.0758618i | ||||
\(717\) | −18.1920 | + | 3.95743i | −0.679393 | + | 0.147793i | ||||
\(718\) | −13.6473 | − | 18.2307i | −0.509313 | − | 0.680363i | ||||
\(719\) | −8.17149 | − | 12.7151i | −0.304745 | − | 0.474193i | 0.654778 | − | 0.755821i | \(-0.272762\pi\) |
−0.959524 | + | 0.281628i | \(0.909126\pi\) | |||||||
\(720\) | −0.544457 | − | 2.16877i | −0.0202907 | − | 0.0808253i | ||||
\(721\) | −8.22753 | − | 9.49508i | −0.306409 | − | 0.353615i | ||||
\(722\) | 4.30451 | + | 3.22232i | 0.160197 | + | 0.119922i | ||||
\(723\) | 0.309055 | + | 0.828609i | 0.0114939 | + | 0.0308163i | ||||
\(724\) | 19.1984 | − | 5.63716i | 0.713503 | − | 0.209503i | ||||
\(725\) | 3.23820 | − | 40.7614i | 0.120264 | − | 1.51384i | ||||
\(726\) | −9.86487 | + | 21.6010i | −0.366119 | + | 0.801690i | ||||
\(727\) | −24.8952 | + | 33.2561i | −0.923313 | + | 1.23340i | 0.0487807 | + | 0.998810i | \(0.484466\pi\) |
−0.972094 | + | 0.234592i | \(0.924624\pi\) | |||||||
\(728\) | 3.01407 | + | 0.215571i | 0.111709 | + | 0.00798959i | ||||
\(729\) | 0.909632 | − | 0.415415i | 0.0336901 | − | 0.0153857i | ||||
\(730\) | 0.427464 | + | 1.04359i | 0.0158211 | + | 0.0386252i | ||||
\(731\) | −5.94049 | + | 41.3170i | −0.219717 | + | 1.52816i | ||||
\(732\) | 2.77954 | + | 12.7773i | 0.102735 | + | 0.472264i | ||||
\(733\) | 0.00668141 | + | 0.0934183i | 0.000246783 | + | 0.00345048i | 0.997574 | − | 0.0696138i | \(-0.0221767\pi\) |
−0.997327 | + | 0.0730643i | \(0.976722\pi\) | |||||||
\(734\) | 23.1938 | + | 6.81032i | 0.856100 | + | 0.251374i | ||||
\(735\) | −8.11329 | − | 11.7842i | −0.299263 | − | 0.434665i | ||||
\(736\) | −2.20946 | + | 4.25656i | −0.0814417 | + | 0.156899i | ||||
\(737\) | 58.5518 | − | 58.5518i | 2.15678 | − | 2.15678i | ||||
\(738\) | 0.0727030 | + | 0.133146i | 0.00267623 | + | 0.00490115i | ||||
\(739\) | −4.45183 | − | 3.85753i | −0.163763 | − | 0.141902i | 0.569124 | − | 0.822252i | \(-0.307282\pi\) |
−0.732887 | + | 0.680350i | \(0.761828\pi\) | |||||||
\(740\) | −0.466788 | − | 14.6917i | −0.0171595 | − | 0.540076i | ||||
\(741\) | 14.2321 | + | 2.04627i | 0.522829 | + | 0.0751714i | ||||
\(742\) | −1.49772 | + | 6.88492i | −0.0549831 | + | 0.252753i | ||||
\(743\) | 29.9011 | + | 11.1525i | 1.09696 | + | 0.409147i | 0.831811 | − | 0.555059i | \(-0.187304\pi\) |
0.265154 | + | 0.964206i | \(0.414577\pi\) | |||||||
\(744\) | −0.525998 | + | 0.455780i | −0.0192840 | + | 0.0167097i | ||||
\(745\) | 43.8905 | + | 1.74065i | 1.60802 | + | 0.0637726i | ||||
\(746\) | −5.04657 | − | 2.30469i | −0.184768 | − | 0.0843807i | ||||
\(747\) | 3.07527 | + | 1.67923i | 0.112518 | + | 0.0614397i | ||||
\(748\) | 18.4173 | + | 10.0566i | 0.673404 | + | 0.367706i | ||||
\(749\) | 10.6402 | + | 4.85921i | 0.388784 | + | 0.177552i | ||||
\(750\) | 10.2780 | + | 4.40027i | 0.375300 | + | 0.160675i | ||||
\(751\) | 27.2940 | − | 23.6504i | 0.995971 | − | 0.863014i | 0.00539620 | − | 0.999985i | \(-0.498282\pi\) |
0.990575 | + | 0.136971i | \(0.0437369\pi\) | |||||||
\(752\) | 1.15982 | + | 0.432592i | 0.0422944 | + | 0.0157750i | ||||
\(753\) | 0.691571 | − | 3.17910i | 0.0252022 | − | 0.115853i | ||||
\(754\) | 31.5339 | + | 4.53389i | 1.14840 | + | 0.165115i | ||||
\(755\) | −13.6579 | + | 14.5542i | −0.497061 | + | 0.529683i | ||||
\(756\) | 0.586225 | + | 0.507967i | 0.0213208 | + | 0.0184746i | ||||
\(757\) | −3.90241 | − | 7.14673i | −0.141836 | − | 0.259752i | 0.797099 | − | 0.603849i | \(-0.206367\pi\) |
−0.938934 | + | 0.344097i | \(0.888185\pi\) | |||||||
\(758\) | −9.38149 | + | 9.38149i | −0.340751 | + | 0.340751i | ||||
\(759\) | −24.5217 | + | 14.0666i | −0.890081 | + | 0.510584i | ||||
\(760\) | 6.79782 | − | 4.68024i | 0.246583 | − | 0.169770i | ||||
\(761\) | −20.3172 | − | 5.96568i | −0.736499 | − | 0.216256i | −0.108093 | − | 0.994141i | \(-0.534474\pi\) |
−0.628406 | + | 0.777885i | \(0.716292\pi\) | |||||||
\(762\) | 0.366002 | + | 5.11737i | 0.0132588 | + | 0.185383i | ||||
\(763\) | 2.00877 | + | 9.23416i | 0.0727223 | + | 0.334299i | ||||
\(764\) | −0.771883 | + | 5.36856i | −0.0279257 | + | 0.194228i | ||||
\(765\) | −7.34209 | − | 3.07513i | −0.265454 | − | 0.111181i | ||||
\(766\) | 5.86851 | − | 2.68006i | 0.212038 | − | 0.0968345i | ||||
\(767\) | −49.9459 | − | 3.57220i | −1.80344 | − | 0.128985i | ||||
\(768\) | 0.599278 | − | 0.800541i | 0.0216246 | − | 0.0288870i | ||||
\(769\) | −9.11070 | + | 19.9496i | −0.328540 | + | 0.719403i | −0.999761 | − | 0.0218547i | \(-0.993043\pi\) |
0.671221 | + | 0.741257i | \(0.265770\pi\) | |||||||
\(770\) | 10.1699 | − | 1.05288i | 0.366496 | − | 0.0379430i | ||||
\(771\) | 9.83318 | − | 2.88728i | 0.354133 | − | 0.103983i | ||||
\(772\) | 5.36526 | + | 14.3848i | 0.193100 | + | 0.517721i | ||||
\(773\) | −16.7379 | − | 12.5298i | −0.602020 | − | 0.450667i | 0.254290 | − | 0.967128i | \(-0.418158\pi\) |
−0.856311 | + | 0.516461i | \(0.827249\pi\) | |||||||
\(774\) | 7.67873 | + | 8.86172i | 0.276006 | + | 0.318528i | ||||
\(775\) | −0.220911 | − | 3.47296i | −0.00793535 | − | 0.124752i | ||||
\(776\) | −2.66293 | − | 4.14360i | −0.0955935 | − | 0.148746i | ||||
\(777\) | 3.05576 | + | 4.08202i | 0.109625 | + | 0.146442i | ||||
\(778\) | 21.5775 | − | 4.69390i | 0.773591 | − | 0.168284i | ||||
\(779\) | −0.366671 | + | 0.423161i | −0.0131373 | + | 0.0151613i | ||||
\(780\) | −3.92977 | + | 7.77404i | −0.140708 | + | 0.278355i | ||||
\(781\) | − | 45.4670i | − | 1.62694i | ||||||
\(782\) | 7.41685 | + | 15.3772i | 0.265226 | + | 0.549888i | ||||
\(783\) | 5.78269 | + | 5.78269i | 0.206657 | + | 0.206657i | ||||
\(784\) | 1.80261 | − | 6.13913i | 0.0643790 | − | 0.219255i | ||||
\(785\) | −4.45775 | + | 39.9810i | −0.159104 | + | 1.42698i | ||||
\(786\) | −8.50359 | − | 5.46492i | −0.303313 | − | 0.194927i | ||||
\(787\) | 5.84079 | − | 4.37236i | 0.208202 | − | 0.155858i | −0.490088 | − | 0.871673i | \(-0.663036\pi\) |
0.698290 | + | 0.715815i | \(0.253945\pi\) | |||||||
\(788\) | −13.7337 | − | 2.98758i | −0.489242 | − | 0.106428i | ||||
\(789\) | −4.51267 | − | 9.88137i | −0.160655 | − | 0.351786i | ||||
\(790\) | −8.76328 | + | 33.7785i | −0.311784 | + | 1.20178i | ||||
\(791\) | 1.28841 | + | 8.96107i | 0.0458105 | + | 0.318619i | ||||
\(792\) | 5.52300 | − | 2.05997i | 0.196251 | − | 0.0731979i | ||||
\(793\) | 24.4128 | − | 44.7086i | 0.866923 | − | 1.58765i | ||||
\(794\) | 4.62088 | + | 15.7373i | 0.163989 | + | 0.558495i | ||||
\(795\) | −16.6384 | − | 11.6496i | −0.590102 | − | 0.413169i | ||||
\(796\) | −1.44144 | + | 0.207248i | −0.0510904 | + | 0.00734569i | ||||
\(797\) | 0.963146 | − | 13.4665i | 0.0341164 | − | 0.477009i | −0.951459 | − | 0.307774i | \(-0.900416\pi\) |
0.985576 | − | 0.169235i | \(-0.0541297\pi\) | |||||||
\(798\) | −1.00052 | + | 2.68250i | −0.0354180 | + | 0.0949593i | ||||
\(799\) | 3.70710 | − | 2.38241i | 0.131148 | − | 0.0842836i | ||||
\(800\) | 1.37083 | + | 4.80841i | 0.0484662 | + | 0.170003i | ||||
\(801\) | 0.816097 | − | 1.26987i | 0.0288354 | − | 0.0448687i | ||||
\(802\) | −24.8344 | + | 1.77619i | −0.876932 | + | 0.0627194i | ||||
\(803\) | −2.60928 | + | 1.42478i | −0.0920796 | + | 0.0502793i | ||||
\(804\) | −14.0474 | −0.495414 | ||||||||
\(805\) | 7.22529 | + | 4.12184i | 0.254658 | + | 0.145276i | ||||
\(806\) | 2.71133 | 0.0955024 | ||||||||
\(807\) | −0.149877 | + | 0.0818388i | −0.00527591 | + | 0.00288086i | ||||
\(808\) | −10.2344 | + | 0.731979i | −0.360045 | + | 0.0257509i | ||||
\(809\) | 12.2478 | − | 19.0580i | 0.430611 | − | 0.670044i | −0.556360 | − | 0.830941i | \(-0.687802\pi\) |
0.986971 | + | 0.160897i | \(0.0514388\pi\) | |||||||
\(810\) | −2.00347 | + | 0.993020i | −0.0703949 | + | 0.0348912i | ||||
\(811\) | 40.9462 | − | 26.3145i | 1.43782 | − | 0.924028i | 0.438131 | − | 0.898911i | \(-0.355641\pi\) |
0.999685 | − | 0.0251166i | \(-0.00799570\pi\) | |||||||
\(812\) | −2.21684 | + | 5.94358i | −0.0777958 | + | 0.208579i | ||||
\(813\) | 1.62438 | − | 22.7118i | 0.0569694 | − | 0.796536i | ||||
\(814\) | 38.3549 | − | 5.51460i | 1.34434 | − | 0.193286i | ||||
\(815\) | 4.47141 | + | 25.3544i | 0.156627 | + | 0.888126i | ||||
\(816\) | −1.00293 | − | 3.41565i | −0.0351094 | − | 0.119572i | ||||
\(817\) | −20.7414 | + | 37.9850i | −0.725649 | + | 1.32893i | ||||
\(818\) | −4.81088 | + | 1.79437i | −0.168208 | + | 0.0627385i | ||||
\(819\) | −0.430043 | − | 2.99102i | −0.0150269 | − | 0.104515i | ||||
\(820\) | −0.171941 | − | 0.292410i | −0.00600445 | − | 0.0102114i | ||||
\(821\) | 14.1816 | + | 31.0534i | 0.494942 | + | 1.08377i | 0.978080 | + | 0.208228i | \(0.0667697\pi\) |
−0.483138 | + | 0.875544i | \(0.660503\pi\) | |||||||
\(822\) | −14.1901 | − | 3.08688i | −0.494938 | − | 0.107667i | ||||
\(823\) | 13.2111 | − | 9.88972i | 0.460511 | − | 0.344734i | −0.343699 | − | 0.939080i | \(-0.611680\pi\) |
0.804209 | + | 0.594346i | \(0.202589\pi\) | |||||||
\(824\) | 13.6258 | + | 8.75675i | 0.474676 | + | 0.305056i | ||||
\(825\) | −8.52607 | + | 28.2131i | −0.296840 | + | 0.982256i | ||||
\(826\) | 2.80902 | − | 9.56666i | 0.0977385 | − | 0.332867i | ||||
\(827\) | −15.7934 | − | 15.7934i | −0.549192 | − | 0.549192i | 0.377015 | − | 0.926207i | \(-0.376950\pi\) |
−0.926207 | + | 0.377015i | \(0.876950\pi\) | |||||||
\(828\) | 4.62894 | + | 1.25417i | 0.160867 | + | 0.0435854i | ||||
\(829\) | − | 36.4542i | − | 1.26611i | −0.774108 | − | 0.633053i | \(-0.781802\pi\) | ||
0.774108 | − | 0.633053i | \(-0.218198\pi\) | |||||||
\(830\) | −6.99229 | − | 3.53460i | −0.242706 | − | 0.122688i | ||||
\(831\) | 0.166201 | − | 0.191806i | 0.00576544 | − | 0.00665367i | ||||
\(832\) | −3.80658 | + | 0.828071i | −0.131970 | + | 0.0287082i | ||||
\(833\) | −13.6498 | − | 18.2340i | −0.472936 | − | 0.631769i | ||||
\(834\) | −4.56842 | − | 7.10860i | −0.158191 | − | 0.246151i | ||||
\(835\) | −1.81357 | + | 3.02937i | −0.0627613 | + | 0.104836i | ||||
\(836\) | 14.2477 | + | 16.4427i | 0.492766 | + | 0.568683i | ||||
\(837\) | 0.557173 | + | 0.417094i | 0.0192587 | + | 0.0144169i | ||||
\(838\) | 7.90903 | + | 21.2049i | 0.273213 | + | 0.732512i | ||||
\(839\) | 24.4642 | − | 7.18333i | 0.844597 | − | 0.247996i | 0.169321 | − | 0.985561i | \(-0.445843\pi\) |
0.675276 | + | 0.737565i | \(0.264024\pi\) | |||||||
\(840\) | −1.34625 | − | 1.09365i | −0.0464500 | − | 0.0377344i | ||||
\(841\) | −15.7356 | + | 34.4561i | −0.542605 | + | 1.18814i | ||||
\(842\) | 0.0561634 | − | 0.0750256i | 0.00193552 | − | 0.00258555i | ||||
\(843\) | 0.143194 | + | 0.0102414i | 0.00493186 | + | 0.000352733i | ||||
\(844\) | 7.13851 | − | 3.26005i | 0.245718 | − | 0.112215i | ||||
\(845\) | 4.50214 | − | 1.84411i | 0.154878 | − | 0.0634392i | ||||
\(846\) | 0.176168 | − | 1.22527i | 0.00605676 | − | 0.0421257i | ||||
\(847\) | 3.91550 | + | 17.9993i | 0.134538 | + | 0.618463i | ||||
\(848\) | −0.648008 | − | 9.06034i | −0.0222527 | − | 0.311133i | ||||
\(849\) | 30.9890 | + | 9.09920i | 1.06354 | + | 0.312284i | ||||
\(850\) | 16.6275 | + | 6.35137i | 0.570318 | + | 0.217850i | ||||
\(851\) | 27.9810 | + | 14.5241i | 0.959177 | + | 0.497881i | ||||
\(852\) | −5.45410 | + | 5.45410i | −0.186854 | + | 0.186854i | ||||
\(853\) | 2.39310 | + | 4.38263i | 0.0819380 | + | 0.150058i | 0.915435 | − | 0.402465i | \(-0.131847\pi\) |
−0.833497 | + | 0.552524i | \(0.813665\pi\) | |||||||
\(854\) | 7.66557 | + | 6.64226i | 0.262311 | + | 0.227293i | ||||
\(855\) | −6.01826 | − | 5.64761i | −0.205820 | − | 0.193144i | ||||
\(856\) | −14.9264 | − | 2.14609i | −0.510173 | − | 0.0733518i | ||||
\(857\) | 0.672070 | − | 3.08946i | 0.0229575 | − | 0.105534i | −0.964242 | − | 0.265022i | \(-0.914621\pi\) |
0.987200 | + | 0.159488i | \(0.0509844\pi\) | |||||||
\(858\) | −21.5155 | − | 8.02485i | −0.734525 | − | 0.273964i | ||||
\(859\) | 32.1182 | − | 27.8306i | 1.09586 | − | 0.949567i | 0.0969051 | − | 0.995294i | \(-0.469106\pi\) |
0.998954 | + | 0.0457263i | \(0.0145602\pi\) | |||||||
\(860\) | −17.7908 | − | 19.2602i | −0.606660 | − | 0.656766i | ||||
\(861\) | 0.107039 | + | 0.0488832i | 0.00364789 | + | 0.00166593i | ||||
\(862\) | 1.35735 | + | 0.741167i | 0.0462314 | + | 0.0252443i | ||||
\(863\) | 14.6225 | + | 7.98452i | 0.497757 | + | 0.271796i | 0.708456 | − | 0.705755i | \(-0.249392\pi\) |
−0.210699 | + | 0.977551i | \(0.567574\pi\) | |||||||
\(864\) | −0.909632 | − | 0.415415i | −0.0309463 | − | 0.0141327i | ||||
\(865\) | −20.8103 | − | 22.5291i | −0.707572 | − | 0.766013i | ||||
\(866\) | 2.73699 | − | 2.37162i | 0.0930068 | − | 0.0805909i | ||||
\(867\) | 4.05461 | + | 1.51229i | 0.137702 | + | 0.0513601i | ||||
\(868\) | −0.114759 | + | 0.527537i | −0.00389516 | + | 0.0179058i | ||||
\(869\) | −91.0574 | − | 13.0921i | −3.08891 | − | 0.444118i | ||||
\(870\) | −13.3346 | − | 12.5134i | −0.452085 | − | 0.424242i | ||||
\(871\) | 41.3571 | + | 35.8361i | 1.40133 | + | 1.21426i | ||||
\(872\) | −5.83865 | − | 10.6927i | −0.197722 | − | 0.362100i | ||||
\(873\) | −3.48286 | + | 3.48286i | −0.117877 | + | 0.117877i | ||||
\(874\) | 1.63344 | + | 17.6256i | 0.0552520 | + | 0.596194i | ||||
\(875\) | 8.42781 | − | 2.04532i | 0.284912 | − | 0.0691445i | ||||
\(876\) | 0.483915 | + | 0.142090i | 0.0163500 | + | 0.00480078i | ||||
\(877\) | −2.91302 | − | 40.7293i | −0.0983656 | − | 1.37533i | −0.771697 | − | 0.635990i | \(-0.780592\pi\) |
0.673332 | − | 0.739341i | \(-0.264863\pi\) | |||||||
\(878\) | −0.428293 | − | 1.96883i | −0.0144542 | − | 0.0664448i | ||||
\(879\) | −0.725375 | + | 5.04509i | −0.0244663 | + | 0.170167i | ||||
\(880\) | −12.1973 | + | 4.99610i | −0.411171 | + | 0.168418i | ||||
\(881\) | 30.3191 | − | 13.8463i | 1.02148 | − | 0.466492i | 0.166985 | − | 0.985959i | \(-0.446597\pi\) |
0.854490 | + | 0.519467i | \(0.173870\pi\) | |||||||
\(882\) | −6.38201 | − | 0.456450i | −0.214893 | − | 0.0153695i | ||||
\(883\) | 21.6961 | − | 28.9827i | 0.730133 | − | 0.975344i | −0.269789 | − | 0.962919i | \(-0.586954\pi\) |
0.999923 | − | 0.0124247i | \(-0.00395501\pi\) | |||||||
\(884\) | −5.76089 | + | 12.6146i | −0.193760 | + | 0.424274i | ||||
\(885\) | 22.3085 | + | 18.1227i | 0.749893 | + | 0.609188i | ||||
\(886\) | 5.31499 | − | 1.56062i | 0.178561 | − | 0.0524301i | ||||
\(887\) | 8.24706 | + | 22.1112i | 0.276909 | + | 0.742422i | 0.998732 | + | 0.0503440i | \(0.0160318\pi\) |
−0.721823 | + | 0.692078i | \(0.756696\pi\) | |||||||
\(888\) | −5.26246 | − | 3.93943i | −0.176596 | − | 0.132198i | ||||
\(889\) | 2.60610 | + | 3.00759i | 0.0874057 | + | 0.100871i | ||||
\(890\) | −1.73376 | + | 2.89604i | −0.0581156 | + | 0.0970754i | ||||
\(891\) | −3.18689 | − | 4.95890i | −0.106765 | − | 0.166130i | ||||
\(892\) | −0.134110 | − | 0.179150i | −0.00449033 | − | 0.00599838i | ||||
\(893\) | 4.46449 | − | 0.971191i | 0.149398 | − | 0.0324997i | ||||
\(894\) | 12.8640 | − | 14.8458i | 0.430236 | − | 0.496519i | ||||
\(895\) | −5.36011 | − | 2.70953i | −0.179169 | − | 0.0905696i | ||||
\(896\) | − | 0.775687i | − | 0.0259139i | ||||||
\(897\) | −10.4286 | − | 15.5012i | −0.348201 | − | 0.517570i | ||||
\(898\) | 7.69750 | + | 7.69750i | 0.256869 | + | 0.256869i | ||||
\(899\) | −1.60357 | + | 5.46127i | −0.0534821 | + | 0.182143i | ||||
\(900\) | 4.40713 | − | 2.36161i | 0.146904 | − | 0.0787202i | ||||
\(901\) | −27.2027 | − | 17.4821i | −0.906252 | − | 0.582413i | ||||
\(902\) | 0.715869 | − | 0.535893i | 0.0238358 | − | 0.0178433i | ||||
\(903\) | 8.88764 | + | 1.93339i | 0.295762 | + | 0.0643391i | ||||
\(904\) | −4.84840 | − | 10.6165i | −0.161256 | − | 0.353100i | ||||
\(905\) | 22.6784 | + | 38.5677i | 0.753856 | + | 1.28203i | ||||
\(906\) | 1.27030 | + | 8.83510i | 0.0422027 | + | 0.293526i | ||||
\(907\) | 0.554797 | − | 0.206928i | 0.0184217 | − | 0.00687094i | −0.340236 | − | 0.940340i | \(-0.610507\pi\) |
0.358658 | + | 0.933469i | \(0.383234\pi\) | |||||||
\(908\) | −0.284961 | + | 0.521868i | −0.00945677 | + | 0.0173188i | ||||
\(909\) | 2.89073 | + | 9.84492i | 0.0958794 | + | 0.326535i | ||||
\(910\) | 1.17351 | + | 6.65420i | 0.0389015 | + | 0.220585i | ||||
\(911\) | 31.6222 | − | 4.54659i | 1.04769 | − | 0.150635i | 0.403094 | − | 0.915158i | \(-0.367935\pi\) |
0.644596 | + | 0.764523i | \(0.277026\pi\) | |||||||
\(912\) | 0.263308 | − | 3.68153i | 0.00871901 | − | 0.121908i | ||||
\(913\) | 7.21787 | − | 19.3519i | 0.238877 | − | 0.640453i | ||||
\(914\) | −12.6774 | + | 8.14727i | −0.419331 | + | 0.269488i | ||||
\(915\) | −26.1978 | + | 12.9849i | −0.866071 | + | 0.429267i | ||||
\(916\) | 0.194016 | − | 0.301894i | 0.00641045 | − | 0.00997486i | ||||
\(917\) | −7.82085 | + | 0.559358i | −0.258267 | + | 0.0184716i | ||||
\(918\) | −3.12441 | + | 1.70606i | −0.103121 | + | 0.0563082i | ||||
\(919\) | −8.30582 | −0.273984 | −0.136992 | − | 0.990572i | \(-0.543743\pi\) | ||||
−0.136992 | + | 0.990572i | \(0.543743\pi\) | |||||||
\(920\) | −10.4345 | − | 2.47429i | −0.344014 | − | 0.0815751i | ||||
\(921\) | −12.4891 | −0.411530 | ||||||||
\(922\) | 17.6488 | − | 9.63699i | 0.581233 | − | 0.317377i | ||||
\(923\) | 29.9713 | − | 2.14359i | 0.986517 | − | 0.0705571i | ||||
\(924\) | 2.47203 | − | 3.84656i | 0.0813239 | − | 0.126542i | ||||
\(925\) | 31.6087 | − | 9.01133i | 1.03929 | − | 0.296291i | ||||
\(926\) | 13.0305 | − | 8.37418i | 0.428208 | − | 0.275193i | ||||
\(927\) | 5.66026 | − | 15.1758i | 0.185907 | − | 0.498437i | ||||
\(928\) | 0.583409 | − | 8.15713i | 0.0191514 | − | 0.267771i | ||||
\(929\) | −5.60739 | + | 0.806221i | −0.183972 | + | 0.0264512i | −0.233685 | − | 0.972312i | \(-0.575079\pi\) |
0.0497127 | + | 0.998764i | \(0.484169\pi\) | |||||||
\(930\) | −1.27487 | − | 0.892617i | −0.0418045 | − | 0.0292701i | ||||
\(931\) | −6.65332 | − | 22.6591i | −0.218054 | − | 0.742623i | ||||
\(932\) | 7.89352 | − | 14.4559i | 0.258561 | − | 0.473519i | ||||
\(933\) | −5.66532 | + | 2.11306i | −0.185474 | + | 0.0691784i | ||||
\(934\) | −1.92004 | − | 13.3542i | −0.0628256 | − | 0.436962i | ||||
\(935\) | −11.7831 | + | 45.4183i | −0.385347 | + | 1.48534i | ||||
\(936\) | 1.61829 | + | 3.54357i | 0.0528956 | + | 0.115825i | ||||
\(937\) | −33.0997 | − | 7.20041i | −1.08132 | − | 0.235227i | −0.363598 | − | 0.931556i | \(-0.618452\pi\) |
−0.717723 | + | 0.696329i | \(0.754816\pi\) | |||||||
\(938\) | −8.72301 | + | 6.52996i | −0.284816 | + | 0.213211i | ||||
\(939\) | 5.21720 | + | 3.35289i | 0.170257 | + | 0.109418i | ||||
\(940\) | −0.306718 | + | 2.75092i | −0.0100040 | + | 0.0897251i | ||||
\(941\) | −4.42364 | + | 15.0655i | −0.144206 | + | 0.491122i | −0.999641 | − | 0.0267887i | \(-0.991472\pi\) |
0.855435 | + | 0.517911i | \(0.173290\pi\) | |||||||
\(942\) | 12.7215 | + | 12.7215i | 0.414487 | + | 0.414487i | ||||
\(943\) | 0.727376 | − | 0.0152850i | 0.0236866 | − | 0.000497747i | ||||
\(944\) | 12.8538i | 0.418356i | ||||||||
\(945\) | −0.782489 | + | 1.54795i | −0.0254544 | + | 0.0503549i | ||||
\(946\) | 45.2635 | − | 52.2368i | 1.47164 | − | 1.69837i | ||||
\(947\) | 53.3466 | − | 11.6048i | 1.73353 | − | 0.377107i | 0.768624 | − | 0.639700i | \(-0.220942\pi\) |
0.964906 | + | 0.262594i | \(0.0845779\pi\) | |||||||
\(948\) | 9.35250 | + | 12.4935i | 0.303755 | + | 0.405769i | ||||
\(949\) | −1.06221 | − | 1.65283i | −0.0344809 | − | 0.0536533i | ||||
\(950\) | 13.8515 | + | 12.1947i | 0.449402 | + | 0.395649i | ||||
\(951\) | −8.76850 | − | 10.1194i | −0.284338 | − | 0.328144i | ||||
\(952\) | −2.21056 | − | 1.65480i | −0.0716446 | − | 0.0536325i | ||||
\(953\) | 1.17209 | + | 3.14249i | 0.0379676 | + | 0.101795i | 0.954550 | − | 0.298051i | \(-0.0963364\pi\) |
−0.916582 | + | 0.399846i | \(0.869064\pi\) | |||||||
\(954\) | −8.71554 | + | 2.55911i | −0.282176 | + | 0.0828544i | ||||
\(955\) | −12.0634 | + | 1.24892i | −0.390364 | + | 0.0404140i | ||||
\(956\) | 7.73398 | − | 16.9351i | 0.250135 | − | 0.547719i | ||||
\(957\) | 28.8890 | − | 38.5911i | 0.933848 | − | 1.24747i | ||||
\(958\) | −27.3247 | − | 1.95430i | −0.882823 | − | 0.0631407i | ||||
\(959\) | −10.2466 | + | 4.67946i | −0.330879 | + | 0.151108i | ||||
\(960\) | 2.06247 | + | 0.863835i | 0.0665660 | + | 0.0278802i | ||||
\(961\) | 4.34282 | − | 30.2050i | 0.140091 | − | 0.974354i | ||||
\(962\) | 5.44343 | + | 25.0230i | 0.175503 | + | 0.806775i | ||||
\(963\) | 1.07578 | + | 15.0414i | 0.0346667 | + | 0.484704i | ||||
\(964\) | −0.848545 | − | 0.249155i | −0.0273298 | − | 0.00802475i | ||||
\(965\) | −28.2762 | + | 19.4679i | −0.910243 | + | 0.626695i | ||||
\(966\) | 3.45743 | − | 1.37297i | 0.111241 | − | 0.0441746i | ||||
\(967\) | −29.4286 | + | 29.4286i | −0.946361 | + | 0.946361i | −0.998633 | − | 0.0522719i | \(-0.983354\pi\) |
0.0522719 | + | 0.998633i | \(0.483354\pi\) | |||||||
\(968\) | −11.3807 | − | 20.8423i | −0.365791 | − | 0.669895i | ||||
\(969\) | −9.92993 | − | 8.60433i | −0.318995 | − | 0.276411i | ||||
\(970\) | 7.53666 | − | 8.03129i | 0.241988 | − | 0.257869i | ||||
\(971\) | 33.3860 | + | 4.80018i | 1.07141 | + | 0.154045i | 0.655374 | − | 0.755305i | \(-0.272511\pi\) |
0.416032 | + | 0.909350i | \(0.363420\pi\) | |||||||
\(972\) | −0.212565 | + | 0.977147i | −0.00681803 | + | 0.0313420i | ||||
\(973\) | −6.14130 | − | 2.29058i | −0.196881 | − | 0.0734328i | ||||
\(974\) | −1.15551 | + | 1.00126i | −0.0370250 | + | 0.0320824i | ||||
\(975\) | −18.9997 | − | 4.29014i | −0.608478 | − | 0.137394i | ||||
\(976\) | −11.8945 | − | 5.43203i | −0.380734 | − | 0.173875i | ||||
\(977\) | 5.87086 | + | 3.20573i | 0.187826 | + | 0.102561i | 0.570410 | − | 0.821360i | \(-0.306784\pi\) |
−0.382585 | + | 0.923920i | \(0.624966\pi\) | |||||||
\(978\) | 10.1054 | + | 5.51798i | 0.323136 | + | 0.176446i | ||||
\(979\) | −8.09389 | − | 3.69636i | −0.258682 | − | 0.118136i | ||||
\(980\) | 14.2958 | + | 0.566958i | 0.456663 | + | 0.0181108i | ||||
\(981\) | −9.20723 | + | 7.97811i | −0.293964 | + | 0.254721i | ||||
\(982\) | −15.8540 | − | 5.91323i | −0.505921 | − | 0.188699i | ||||
\(983\) | −2.10335 | + | 9.66896i | −0.0670865 | + | 0.308392i | −0.998447 | − | 0.0557061i | \(-0.982259\pi\) |
0.931361 | + | 0.364098i | \(0.118623\pi\) | |||||||
\(984\) | −0.150158 | − | 0.0215894i | −0.00478685 | − | 0.000688246i | ||||
\(985\) | −0.998025 | − | 31.4118i | −0.0317997 | − | 1.00086i | ||||
\(986\) | −22.0016 | − | 19.0645i | −0.700675 | − | 0.607138i | ||||
\(987\) | −0.460175 | − | 0.842748i | −0.0146475 | − | 0.0268250i | ||||
\(988\) | −10.1671 | + | 10.1671i | −0.323458 | + | 0.323458i | ||||
\(989\) | 54.6863 | − | 13.1053i | 1.73892 | − | 0.416726i | ||||
\(990\) | 7.47464 | + | 10.8566i | 0.237560 | + | 0.345044i | ||||
\(991\) | −45.6319 | − | 13.3987i | −1.44954 | − | 0.425625i | −0.540154 | − | 0.841566i | \(-0.681634\pi\) |
−0.909391 | + | 0.415942i | \(0.863452\pi\) | |||||||
\(992\) | −0.0496517 | − | 0.694222i | −0.00157644 | − | 0.0220416i | ||||
\(993\) | −2.41148 | − | 11.0854i | −0.0765260 | − | 0.351784i | ||||
\(994\) | −0.851480 | + | 5.92217i | −0.0270073 | + | 0.187840i | ||||
\(995\) | −1.23427 | − | 3.01331i | −0.0391291 | − | 0.0955284i | ||||
\(996\) | −3.18723 | + | 1.45556i | −0.100991 | + | 0.0461212i | ||||
\(997\) | 18.9383 | + | 1.35450i | 0.599783 | + | 0.0428974i | 0.367930 | − | 0.929853i | \(-0.380067\pi\) |
0.231853 | + | 0.972751i | \(0.425521\pi\) | |||||||
\(998\) | 7.79344 | − | 10.4108i | 0.246697 | − | 0.329548i | ||||
\(999\) | −2.73078 | + | 5.97958i | −0.0863981 | + | 0.189185i |
(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 | 690.2.w.a.373.5 | yes | 240 | |
5.2 | odd | 4 | inner | 690.2.w.a.97.6 | yes | 240 | |
23.14 | odd | 22 | inner | 690.2.w.a.313.6 | yes | 240 | |
115.37 | even | 44 | inner | 690.2.w.a.37.5 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.a.37.5 | ✓ | 240 | 115.37 | even | 44 | inner | |
690.2.w.a.97.6 | yes | 240 | 5.2 | odd | 4 | inner | |
690.2.w.a.313.6 | yes | 240 | 23.14 | odd | 22 | inner | |
690.2.w.a.373.5 | yes | 240 | 1.1 | even | 1 | trivial |