Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [117,2,Mod(5,117)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(117, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("117.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 117 = 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 117.z (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.934249703649\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 47.2 | ||
Character | \(\chi\) | \(=\) | 117.47 |
Dual form | 117.2.z.b.5.2 |
$q$-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 \(\left(\mathbb{Z}/117\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(92\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.535189 | − | 1.99735i | −0.378436 | − | 1.41234i | −0.848259 | − | 0.529581i | \(-0.822349\pi\) |
0.469824 | − | 0.882760i | \(-0.344317\pi\) | |||||||
\(3\) | 1.67588 | − | 0.437507i | 0.967572 | − | 0.252595i | ||||
\(4\) | −1.97094 | + | 1.13792i | −0.985468 | + | 0.568960i | ||||
\(5\) | −2.39559 | − | 0.641897i | −1.07134 | − | 0.287065i | −0.320297 | − | 0.947317i | \(-0.603783\pi\) |
−0.751044 | + | 0.660252i | \(0.770449\pi\) | |||||||
\(6\) | −1.77077 | − | 3.11318i | −0.722914 | − | 1.27095i | ||||
\(7\) | −0.185908 | − | 0.693817i | −0.0702666 | − | 0.262238i | 0.921852 | − | 0.387543i | \(-0.126676\pi\) |
−0.992118 | + | 0.125304i | \(0.960009\pi\) | |||||||
\(8\) | 0.403326 | + | 0.403326i | 0.142597 | + | 0.142597i | ||||
\(9\) | 2.61718 | − | 1.46642i | 0.872392 | − | 0.488807i | ||||
\(10\) | 5.12838i | 1.62173i | ||||||||
\(11\) | 2.71792 | − | 0.728264i | 0.819483 | − | 0.219580i | 0.175363 | − | 0.984504i | \(-0.443890\pi\) |
0.644120 | + | 0.764924i | \(0.277224\pi\) | |||||||
\(12\) | −2.80521 | + | 2.76932i | −0.809796 | + | 0.799434i | ||||
\(13\) | 2.59667 | + | 2.50146i | 0.720187 | + | 0.693780i | ||||
\(14\) | −1.28630 | + | 0.742647i | −0.343779 | + | 0.198481i | ||||
\(15\) | −4.29557 | − | 0.0276574i | −1.10911 | − | 0.00714112i | ||||
\(16\) | −1.68611 | + | 2.92043i | −0.421528 | + | 0.730109i | ||||
\(17\) | −1.67579 | −0.406440 | −0.203220 | − | 0.979133i | \(-0.565141\pi\) | ||||
−0.203220 | + | 0.979133i | \(0.565141\pi\) | |||||||
\(18\) | −4.32964 | − | 4.44261i | −1.02051 | − | 1.04713i | ||||
\(19\) | 1.83240 | + | 1.83240i | 0.420381 | + | 0.420381i | 0.885335 | − | 0.464954i | \(-0.153929\pi\) |
−0.464954 | + | 0.885335i | \(0.653929\pi\) | |||||||
\(20\) | 5.45199 | − | 1.46086i | 1.21910 | − | 0.326657i | ||||
\(21\) | −0.615110 | − | 1.08142i | −0.134228 | − | 0.235986i | ||||
\(22\) | −2.90920 | − | 5.03888i | −0.620243 | − | 1.07429i | ||||
\(23\) | 4.29628 | + | 7.44138i | 0.895837 | + | 1.55163i | 0.832766 | + | 0.553625i | \(0.186756\pi\) |
0.0630707 | + | 0.998009i | \(0.479911\pi\) | |||||||
\(24\) | 0.852385 | + | 0.499470i | 0.173992 | + | 0.101954i | ||||
\(25\) | 0.996702 | + | 0.575446i | 0.199340 | + | 0.115089i | ||||
\(26\) | 3.60658 | − | 6.52522i | 0.707309 | − | 1.27970i | ||||
\(27\) | 3.74451 | − | 3.60258i | 0.720632 | − | 0.693318i | ||||
\(28\) | 1.15592 | + | 1.15592i | 0.218449 | + | 0.218449i | ||||
\(29\) | −0.554358 | − | 0.320059i | −0.102942 | − | 0.0594334i | 0.447645 | − | 0.894211i | \(-0.352263\pi\) |
−0.550587 | + | 0.834778i | \(0.685596\pi\) | |||||||
\(30\) | 2.24370 | + | 8.59456i | 0.409641 | + | 1.56915i | ||||
\(31\) | 2.00865 | − | 7.49638i | 0.360764 | − | 1.34639i | −0.512309 | − | 0.858801i | \(-0.671210\pi\) |
0.873073 | − | 0.487589i | \(-0.162124\pi\) | |||||||
\(32\) | 7.83743 | + | 2.10003i | 1.38548 | + | 0.371237i | ||||
\(33\) | 4.23629 | − | 2.40959i | 0.737444 | − | 0.419456i | ||||
\(34\) | 0.896866 | + | 3.34715i | 0.153811 | + | 0.574031i | ||||
\(35\) | 1.78144i | 0.301118i | ||||||||
\(36\) | −3.48962 | + | 5.86836i | −0.581603 | + | 0.978060i | ||||
\(37\) | −6.11086 | + | 6.11086i | −1.00462 | + | 1.00462i | −0.00463014 | + | 0.999989i | \(0.501474\pi\) |
−0.999989 | + | 0.00463014i | \(0.998526\pi\) | |||||||
\(38\) | 2.67927 | − | 4.64063i | 0.434635 | − | 0.752809i | ||||
\(39\) | 5.44613 | + | 3.05609i | 0.872078 | + | 0.489367i | ||||
\(40\) | −0.707311 | − | 1.22510i | −0.111836 | − | 0.193705i | ||||
\(41\) | −0.775914 | − | 0.207905i | −0.121177 | − | 0.0324694i | 0.197721 | − | 0.980258i | \(-0.436646\pi\) |
−0.318898 | + | 0.947789i | \(0.603313\pi\) | |||||||
\(42\) | −1.83078 | + | 1.80736i | −0.282495 | + | 0.278881i | ||||
\(43\) | −5.31049 | − | 3.06601i | −0.809842 | − | 0.467563i | 0.0370590 | − | 0.999313i | \(-0.488201\pi\) |
−0.846901 | + | 0.531751i | \(0.821534\pi\) | |||||||
\(44\) | −4.52814 | + | 4.52814i | −0.682642 | + | 0.682642i | ||||
\(45\) | −7.21098 | + | 1.83299i | −1.07495 | + | 0.273246i | ||||
\(46\) | 12.5637 | − | 12.5637i | 1.85242 | − | 1.85242i | ||||
\(47\) | −12.4826 | + | 3.34469i | −1.82077 | + | 0.487874i | −0.996884 | − | 0.0788833i | \(-0.974865\pi\) |
−0.823885 | + | 0.566757i | \(0.808198\pi\) | |||||||
\(48\) | −1.54802 | + | 5.63200i | −0.223438 | + | 0.812909i | ||||
\(49\) | 5.61536 | − | 3.24203i | 0.802194 | − | 0.463147i | ||||
\(50\) | 0.615945 | − | 2.29874i | 0.0871077 | − | 0.325090i | ||||
\(51\) | −2.80844 | + | 0.733171i | −0.393260 | + | 0.102664i | ||||
\(52\) | −7.96434 | − | 1.97541i | −1.10446 | − | 0.273940i | ||||
\(53\) | 2.05637i | 0.282464i | 0.989977 | + | 0.141232i | \(0.0451064\pi\) | ||||
−0.989977 | + | 0.141232i | \(0.954894\pi\) | |||||||
\(54\) | −9.19965 | − | 5.55105i | −1.25191 | − | 0.755402i | ||||
\(55\) | −6.97849 | −0.940980 | ||||||||
\(56\) | 0.204853 | − | 0.354816i | 0.0273747 | − | 0.0474143i | ||||
\(57\) | 3.87258 | + | 2.26920i | 0.512935 | + | 0.300563i | ||||
\(58\) | −0.342584 | + | 1.27854i | −0.0449834 | + | 0.167880i | ||||
\(59\) | 0.892842 | − | 3.33213i | 0.116238 | − | 0.433807i | −0.883138 | − | 0.469113i | \(-0.844574\pi\) |
0.999377 | + | 0.0353058i | \(0.0112405\pi\) | |||||||
\(60\) | 8.49777 | − | 4.83351i | 1.09706 | − | 0.624003i | ||||
\(61\) | 3.19159 | − | 5.52799i | 0.408641 | − | 0.707787i | −0.586097 | − | 0.810241i | \(-0.699336\pi\) |
0.994738 | + | 0.102454i | \(0.0326695\pi\) | |||||||
\(62\) | −16.0479 | −2.03809 | ||||||||
\(63\) | −1.50398 | − | 1.54322i | −0.189484 | − | 0.194428i | ||||
\(64\) | − | 10.0336i | − | 1.25420i | ||||||
\(65\) | −4.61489 | − | 7.65927i | −0.572406 | − | 0.950015i | ||||
\(66\) | −7.08002 | − | 7.17178i | −0.871491 | − | 0.882786i | ||||
\(67\) | −0.781048 | + | 2.91491i | −0.0954202 | + | 0.356113i | −0.997083 | − | 0.0763272i | \(-0.975681\pi\) |
0.901663 | + | 0.432440i | \(0.142347\pi\) | |||||||
\(68\) | 3.30288 | − | 1.90692i | 0.400533 | − | 0.231248i | ||||
\(69\) | 10.4557 | + | 10.5912i | 1.25872 | + | 1.27503i | ||||
\(70\) | 3.55816 | − | 0.953405i | 0.425281 | − | 0.113954i | ||||
\(71\) | −10.3850 | + | 10.3850i | −1.23247 | + | 1.23247i | −0.269457 | + | 0.963012i | \(0.586844\pi\) |
−0.963012 | + | 0.269457i | \(0.913156\pi\) | |||||||
\(72\) | 1.64702 | + | 0.464129i | 0.194103 | + | 0.0546982i | ||||
\(73\) | −2.15393 | + | 2.15393i | −0.252099 | + | 0.252099i | −0.821831 | − | 0.569732i | \(-0.807047\pi\) |
0.569732 | + | 0.821831i | \(0.307047\pi\) | |||||||
\(74\) | 15.4760 | + | 8.93508i | 1.79905 | + | 1.03868i | ||||
\(75\) | 1.92212 | + | 0.528317i | 0.221947 | + | 0.0610048i | ||||
\(76\) | −5.69667 | − | 1.52642i | −0.653453 | − | 0.175092i | ||||
\(77\) | −1.01056 | − | 1.75035i | −0.115164 | − | 0.199471i | ||||
\(78\) | 3.18939 | − | 12.5134i | 0.361127 | − | 1.41687i | ||||
\(79\) | −5.01922 | + | 8.69355i | −0.564707 | + | 0.978101i | 0.432370 | + | 0.901696i | \(0.357677\pi\) |
−0.997077 | + | 0.0764047i | \(0.975656\pi\) | |||||||
\(80\) | 5.91386 | − | 5.91386i | 0.661189 | − | 0.661189i | ||||
\(81\) | 4.69922 | − | 7.67576i | 0.522135 | − | 0.852863i | ||||
\(82\) | 1.66104i | 0.183431i | ||||||||
\(83\) | 1.35972 | + | 5.07453i | 0.149248 | + | 0.557002i | 0.999529 | + | 0.0306734i | \(0.00976517\pi\) |
−0.850281 | + | 0.526329i | \(0.823568\pi\) | |||||||
\(84\) | 2.44292 | + | 1.43147i | 0.266544 | + | 0.156186i | ||||
\(85\) | 4.01452 | + | 1.07569i | 0.435436 | + | 0.116675i | ||||
\(86\) | −3.28179 | + | 12.2478i | −0.353885 | + | 1.32072i | ||||
\(87\) | −1.06907 | − | 0.293846i | −0.114616 | − | 0.0315036i | ||||
\(88\) | 1.38993 | + | 0.802479i | 0.148168 | + | 0.0855445i | ||||
\(89\) | 5.67268 | + | 5.67268i | 0.601303 | + | 0.601303i | 0.940658 | − | 0.339355i | \(-0.110209\pi\) |
−0.339355 | + | 0.940658i | \(0.610209\pi\) | |||||||
\(90\) | 7.52036 | + | 13.4219i | 0.792715 | + | 1.41479i | ||||
\(91\) | 1.25281 | − | 2.26666i | 0.131331 | − | 0.237610i | ||||
\(92\) | −16.9354 | − | 9.77766i | −1.76564 | − | 1.01939i | ||||
\(93\) | 0.0865468 | − | 13.4419i | 0.00897448 | − | 1.39386i | ||||
\(94\) | 13.3611 | + | 23.1420i | 1.37809 | + | 2.38692i | ||||
\(95\) | −3.21347 | − | 5.56589i | −0.329695 | − | 0.571049i | ||||
\(96\) | 14.0534 | + | 0.0904842i | 1.43432 | + | 0.00923501i | ||||
\(97\) | 16.2651 | − | 4.35823i | 1.65148 | − | 0.442511i | 0.691450 | − | 0.722425i | \(-0.256972\pi\) |
0.960025 | + | 0.279913i | \(0.0903057\pi\) | |||||||
\(98\) | −9.48075 | − | 9.48075i | −0.957700 | − | 0.957700i | ||||
\(99\) | 6.04533 | − | 5.89161i | 0.607578 | − | 0.592129i | ||||
\(100\) | −2.61925 | −0.261925 | ||||||||
\(101\) | 5.63656 | − | 9.76281i | 0.560859 | − | 0.971436i | −0.436563 | − | 0.899674i | \(-0.643804\pi\) |
0.997422 | − | 0.0717621i | \(-0.0228622\pi\) | |||||||
\(102\) | 2.96744 | + | 5.21705i | 0.293821 | + | 0.516565i | ||||
\(103\) | −11.2027 | + | 6.46791i | −1.10384 | + | 0.637302i | −0.937227 | − | 0.348720i | \(-0.886616\pi\) |
−0.166613 | + | 0.986022i | \(0.553283\pi\) | |||||||
\(104\) | 0.0384021 | + | 2.05621i | 0.00376564 | + | 0.201628i | ||||
\(105\) | 0.779391 | + | 2.98548i | 0.0760607 | + | 0.291353i | ||||
\(106\) | 4.10729 | − | 1.10055i | 0.398936 | − | 0.106894i | ||||
\(107\) | − | 11.7362i | − | 1.13458i | −0.823519 | − | 0.567289i | \(-0.807992\pi\) | ||
0.823519 | − | 0.567289i | \(-0.192008\pi\) | |||||||
\(108\) | −3.28075 | + | 11.3614i | −0.315690 | + | 1.09325i | ||||
\(109\) | −2.82626 | − | 2.82626i | −0.270706 | − | 0.270706i | 0.558678 | − | 0.829385i | \(-0.311309\pi\) |
−0.829385 | + | 0.558678i | \(0.811309\pi\) | |||||||
\(110\) | 3.73481 | + | 13.9385i | 0.356100 | + | 1.32898i | ||||
\(111\) | −7.56755 | + | 12.9146i | −0.718280 | + | 1.22580i | ||||
\(112\) | 2.33971 | + | 0.626923i | 0.221082 | + | 0.0592387i | ||||
\(113\) | −7.48467 | + | 4.32128i | −0.704099 | + | 0.406512i | −0.808872 | − | 0.587985i | \(-0.799922\pi\) |
0.104774 | + | 0.994496i | \(0.466588\pi\) | |||||||
\(114\) | 2.45984 | − | 8.94935i | 0.230385 | − | 0.838184i | ||||
\(115\) | −5.51554 | − | 20.5843i | −0.514327 | − | 1.91949i | ||||
\(116\) | 1.45681 | 0.135261 | ||||||||
\(117\) | 10.4641 | + | 2.73894i | 0.967410 | + | 0.253215i | ||||
\(118\) | −7.13328 | −0.656672 | ||||||||
\(119\) | 0.311543 | + | 1.16269i | 0.0285591 | + | 0.106584i | ||||
\(120\) | −1.72136 | − | 1.74367i | −0.157138 | − | 0.159175i | ||||
\(121\) | −2.66957 | + | 1.54128i | −0.242688 | + | 0.140116i | ||||
\(122\) | −12.7494 | − | 3.41620i | −1.15428 | − | 0.309289i | ||||
\(123\) | −1.39130 | − | 0.00895803i | −0.125449 | − | 0.000807718i | ||||
\(124\) | 4.57137 | + | 17.0606i | 0.410521 | + | 1.53209i | ||||
\(125\) | 6.75016 | + | 6.75016i | 0.603753 | + | 0.603753i | ||||
\(126\) | −2.27745 | + | 3.82990i | −0.202891 | + | 0.341194i | ||||
\(127\) | − | 10.5955i | − | 0.940201i | −0.882613 | − | 0.470101i | \(-0.844218\pi\) | ||
0.882613 | − | 0.470101i | \(-0.155782\pi\) | |||||||
\(128\) | −4.36571 | + | 1.16979i | −0.385878 | + | 0.103396i | ||||
\(129\) | −10.2412 | − | 2.81491i | −0.901684 | − | 0.247839i | ||||
\(130\) | −12.8284 | + | 13.3167i | −1.12513 | + | 1.16795i | ||||
\(131\) | −1.32209 | + | 0.763310i | −0.115512 | + | 0.0666907i | −0.556643 | − | 0.830752i | \(-0.687911\pi\) |
0.441131 | + | 0.897443i | \(0.354577\pi\) | |||||||
\(132\) | −5.60754 | + | 9.56972i | −0.488074 | + | 0.832938i | ||||
\(133\) | 0.930694 | − | 1.61201i | 0.0807014 | − | 0.139779i | ||||
\(134\) | 6.24011 | 0.539063 | ||||||||
\(135\) | −11.2828 | + | 6.22673i | −0.971070 | + | 0.535911i | ||||
\(136\) | −0.675891 | − | 0.675891i | −0.0579572 | − | 0.0579572i | ||||
\(137\) | 6.09224 | − | 1.63241i | 0.520495 | − | 0.139466i | 0.0109995 | − | 0.999940i | \(-0.496499\pi\) |
0.509496 | + | 0.860473i | \(0.329832\pi\) | |||||||
\(138\) | 15.5586 | − | 26.5521i | 1.32444 | − | 2.26026i | ||||
\(139\) | −4.73092 | − | 8.19419i | −0.401271 | − | 0.695022i | 0.592608 | − | 0.805491i | \(-0.298098\pi\) |
−0.993880 | + | 0.110469i | \(0.964765\pi\) | |||||||
\(140\) | −2.02713 | − | 3.51110i | −0.171324 | − | 0.296742i | ||||
\(141\) | −19.4560 | + | 11.0665i | −1.63849 | + | 0.931969i | ||||
\(142\) | 26.3004 | + | 15.1845i | 2.20708 | + | 1.27426i | ||||
\(143\) | 8.87926 | + | 4.90770i | 0.742521 | + | 0.410402i | ||||
\(144\) | −0.130269 | + | 10.1158i | −0.0108558 | + | 0.842987i | ||||
\(145\) | 1.12257 | + | 1.12257i | 0.0932244 | + | 0.0932244i | ||||
\(146\) | 5.45492 | + | 3.14940i | 0.451453 | + | 0.260646i | ||||
\(147\) | 7.99228 | − | 7.89002i | 0.659192 | − | 0.650758i | ||||
\(148\) | 5.09045 | − | 18.9978i | 0.418432 | − | 1.56161i | ||||
\(149\) | 10.6712 | + | 2.85935i | 0.874221 | + | 0.234247i | 0.667912 | − | 0.744240i | \(-0.267188\pi\) |
0.206309 | + | 0.978487i | \(0.433855\pi\) | |||||||
\(150\) | 0.0265392 | − | 4.12190i | 0.00216692 | − | 0.336551i | ||||
\(151\) | −2.90110 | − | 10.8271i | −0.236088 | − | 0.881094i | −0.977655 | − | 0.210215i | \(-0.932584\pi\) |
0.741567 | − | 0.670879i | \(-0.234083\pi\) | |||||||
\(152\) | 1.47811i | 0.119890i | ||||||||
\(153\) | −4.38585 | + | 2.45742i | −0.354575 | + | 0.198671i | ||||
\(154\) | −2.95522 | + | 2.95522i | −0.238138 | + | 0.238138i | ||||
\(155\) | −9.62381 | + | 16.6689i | −0.773003 | + | 1.33888i | ||||
\(156\) | −14.2116 | + | 0.173894i | −1.13784 | + | 0.0139227i | ||||
\(157\) | −2.89323 | − | 5.01122i | −0.230905 | − | 0.399939i | 0.727170 | − | 0.686458i | \(-0.240835\pi\) |
−0.958075 | + | 0.286519i | \(0.907502\pi\) | |||||||
\(158\) | 20.0503 | + | 5.37247i | 1.59512 | + | 0.427410i | ||||
\(159\) | 0.899675 | + | 3.44624i | 0.0713489 | + | 0.273304i | ||||
\(160\) | −17.4273 | − | 10.0616i | −1.37775 | − | 0.795443i | ||||
\(161\) | 4.36425 | − | 4.36425i | 0.343951 | − | 0.343951i | ||||
\(162\) | −17.8462 | − | 5.27801i | −1.40213 | − | 0.414680i | ||||
\(163\) | −8.21885 | + | 8.21885i | −0.643750 | + | 0.643750i | −0.951475 | − | 0.307725i | \(-0.900432\pi\) |
0.307725 | + | 0.951475i | \(0.400432\pi\) | |||||||
\(164\) | 1.76586 | − | 0.473160i | 0.137890 | − | 0.0369476i | ||||
\(165\) | −11.6951 | + | 3.05314i | −0.910466 | + | 0.237686i | ||||
\(166\) | 9.40792 | − | 5.43166i | 0.730196 | − | 0.421579i | ||||
\(167\) | 1.37227 | − | 5.12137i | 0.106189 | − | 0.396304i | −0.892288 | − | 0.451466i | \(-0.850901\pi\) |
0.998477 | + | 0.0551627i | \(0.0175677\pi\) | |||||||
\(168\) | 0.188076 | − | 0.684255i | 0.0145104 | − | 0.0527914i | ||||
\(169\) | 0.485412 | + | 12.9909i | 0.0373394 | + | 0.999303i | ||||
\(170\) | − | 8.59410i | − | 0.659137i | ||||||
\(171\) | 7.48278 | + | 2.10864i | 0.572223 | + | 0.161252i | ||||
\(172\) | 13.9555 | 1.06410 | ||||||||
\(173\) | 11.5412 | − | 19.9899i | 0.877460 | − | 1.51981i | 0.0233410 | − | 0.999728i | \(-0.492570\pi\) |
0.854119 | − | 0.520078i | \(-0.174097\pi\) | |||||||
\(174\) | −0.0147609 | + | 2.29257i | −0.00111902 | + | 0.173799i | ||||
\(175\) | 0.213960 | − | 0.798509i | 0.0161738 | − | 0.0603616i | ||||
\(176\) | −2.45587 | + | 9.16544i | −0.185118 | + | 0.690871i | ||||
\(177\) | 0.0384699 | − | 5.97489i | 0.00289158 | − | 0.449101i | ||||
\(178\) | 8.29438 | − | 14.3663i | 0.621690 | − | 1.07680i | ||||
\(179\) | 0.0482995 | 0.00361007 | 0.00180504 | − | 0.999998i | \(-0.499425\pi\) | ||||
0.00180504 | + | 0.999998i | \(0.499425\pi\) | |||||||
\(180\) | 12.1266 | − | 11.8182i | 0.903862 | − | 0.880879i | ||||
\(181\) | − | 9.19556i | − | 0.683501i | −0.939791 | − | 0.341750i | \(-0.888980\pi\) | ||
0.939791 | − | 0.341750i | \(-0.111020\pi\) | |||||||
\(182\) | −5.19780 | − | 1.28922i | −0.385287 | − | 0.0955634i | ||||
\(183\) | 2.93020 | − | 10.6606i | 0.216606 | − | 0.788055i | ||||
\(184\) | −1.26850 | + | 4.73410i | −0.0935150 | + | 0.349003i | ||||
\(185\) | 18.5617 | − | 10.7166i | 1.36468 | − | 0.787899i | ||||
\(186\) | −26.8945 | + | 7.02107i | −1.97200 | + | 0.514810i | ||||
\(187\) | −4.55467 | + | 1.22042i | −0.333070 | + | 0.0892459i | ||||
\(188\) | 20.7963 | − | 20.7963i | 1.51673 | − | 1.51673i | ||||
\(189\) | −3.19567 | − | 1.92826i | −0.232451 | − | 0.140260i | ||||
\(190\) | −9.39724 | + | 9.39724i | −0.681747 | + | 0.681747i | ||||
\(191\) | 4.52628 | + | 2.61325i | 0.327510 | + | 0.189088i | 0.654735 | − | 0.755858i | \(-0.272780\pi\) |
−0.327225 | + | 0.944946i | \(0.606113\pi\) | |||||||
\(192\) | −4.38975 | − | 16.8151i | −0.316803 | − | 1.21353i | ||||
\(193\) | 7.37927 | + | 1.97727i | 0.531171 | + | 0.142327i | 0.514429 | − | 0.857533i | \(-0.328004\pi\) |
0.0167422 | + | 0.999860i | \(0.494671\pi\) | |||||||
\(194\) | −17.4098 | − | 30.1547i | −1.24995 | − | 2.16498i | ||||
\(195\) | −11.0850 | − | 10.8170i | −0.793813 | − | 0.774622i | ||||
\(196\) | −7.37834 | + | 12.7797i | −0.527024 | + | 0.912833i | ||||
\(197\) | −5.73204 | + | 5.73204i | −0.408391 | + | 0.408391i | −0.881177 | − | 0.472786i | \(-0.843248\pi\) |
0.472786 | + | 0.881177i | \(0.343248\pi\) | |||||||
\(198\) | −15.0030 | − | 8.92152i | −1.06622 | − | 0.634025i | ||||
\(199\) | 12.3928i | 0.878502i | 0.898364 | + | 0.439251i | \(0.144756\pi\) | ||||
−0.898364 | + | 0.439251i | \(0.855244\pi\) | |||||||
\(200\) | 0.169903 | + | 0.634088i | 0.0120140 | + | 0.0448368i | ||||
\(201\) | −0.0336530 | + | 5.22677i | −0.00237370 | + | 0.368668i | ||||
\(202\) | −22.5164 | − | 6.03325i | −1.58425 | − | 0.424498i | ||||
\(203\) | −0.119003 | + | 0.444124i | −0.00835236 | + | 0.0311714i | ||||
\(204\) | 4.70096 | − | 4.64081i | 0.329133 | − | 0.324922i | ||||
\(205\) | 1.72532 | + | 0.996113i | 0.120501 | + | 0.0695716i | ||||
\(206\) | 18.9143 | + | 18.9143i | 1.31782 | + | 1.31782i | ||||
\(207\) | 22.1563 | + | 13.1752i | 1.53997 | + | 0.915742i | ||||
\(208\) | −11.6836 | + | 3.36567i | −0.810114 | + | 0.233367i | ||||
\(209\) | 6.31478 | + | 3.64584i | 0.436803 | + | 0.252188i | ||||
\(210\) | 5.54594 | − | 3.15451i | 0.382706 | − | 0.217682i | ||||
\(211\) | 7.98159 | + | 13.8245i | 0.549475 | + | 0.951719i | 0.998311 | + | 0.0581045i | \(0.0185057\pi\) |
−0.448835 | + | 0.893614i | \(0.648161\pi\) | |||||||
\(212\) | −2.33999 | − | 4.05297i | −0.160711 | − | 0.278359i | ||||
\(213\) | −12.8605 | + | 21.9475i | −0.881188 | + | 1.50382i | ||||
\(214\) | −23.4413 | + | 6.28106i | −1.60241 | + | 0.429365i | ||||
\(215\) | 10.7537 | + | 10.7537i | 0.733396 | + | 0.733396i | ||||
\(216\) | 2.96328 | + | 0.0572443i | 0.201625 | + | 0.00389498i | ||||
\(217\) | −5.57455 | −0.378425 | ||||||||
\(218\) | −4.13245 | + | 7.15761i | −0.279885 | + | 0.484775i | ||||
\(219\) | −2.66738 | + | 4.55210i | −0.180245 | + | 0.307603i | ||||
\(220\) | 13.7542 | − | 7.94097i | 0.927306 | − | 0.535380i | ||||
\(221\) | −4.35149 | − | 4.19193i | −0.292713 | − | 0.281980i | ||||
\(222\) | 29.8451 | + | 8.20330i | 2.00308 | + | 0.550569i | ||||
\(223\) | −14.0156 | + | 3.75546i | −0.938551 | + | 0.251484i | −0.695497 | − | 0.718529i | \(-0.744816\pi\) |
−0.243054 | + | 0.970013i | \(0.578149\pi\) | |||||||
\(224\) | − | 5.82816i | − | 0.389410i | ||||||
\(225\) | 3.45239 | + | 0.0444589i | 0.230159 | + | 0.00296393i | ||||
\(226\) | 12.6368 | + | 12.6368i | 0.840589 | + | 0.840589i | ||||
\(227\) | −2.35795 | − | 8.79998i | −0.156502 | − | 0.584075i | −0.998972 | − | 0.0453312i | \(-0.985566\pi\) |
0.842470 | − | 0.538744i | \(-0.181101\pi\) | |||||||
\(228\) | −10.2148 | − | 0.0657689i | −0.676490 | − | 0.00435565i | ||||
\(229\) | −7.12994 | − | 1.91046i | −0.471160 | − | 0.126247i | 0.0154236 | − | 0.999881i | \(-0.495090\pi\) |
−0.486583 | + | 0.873634i | \(0.661757\pi\) | |||||||
\(230\) | −38.1622 | + | 22.0329i | −2.51634 | + | 1.45281i | ||||
\(231\) | −2.45938 | − | 2.49125i | −0.161815 | − | 0.163912i | ||||
\(232\) | −0.0944989 | − | 0.352675i | −0.00620416 | − | 0.0231542i | ||||
\(233\) | −22.6764 | −1.48558 | −0.742790 | − | 0.669524i | \(-0.766498\pi\) | ||||
−0.742790 | + | 0.669524i | \(0.766498\pi\) | |||||||
\(234\) | −0.129660 | − | 22.3664i | −0.00847612 | − | 1.46214i | ||||
\(235\) | 32.0501 | 2.09072 | ||||||||
\(236\) | 2.03197 | + | 7.58341i | 0.132270 | + | 0.493638i | ||||
\(237\) | −4.60815 | + | 16.7653i | −0.299332 | + | 1.08903i | ||||
\(238\) | 2.15558 | − | 1.24452i | 0.139725 | − | 0.0806704i | ||||
\(239\) | 10.0411 | + | 2.69051i | 0.649506 | + | 0.174035i | 0.568506 | − | 0.822679i | \(-0.307522\pi\) |
0.0810007 | + | 0.996714i | \(0.474188\pi\) | |||||||
\(240\) | 7.32359 | − | 12.4983i | 0.472736 | − | 0.806761i | ||||
\(241\) | 2.80689 | + | 10.4755i | 0.180808 | + | 0.674784i | 0.995489 | + | 0.0948752i | \(0.0302452\pi\) |
−0.814681 | + | 0.579909i | \(0.803088\pi\) | |||||||
\(242\) | 4.50720 | + | 4.50720i | 0.289734 | + | 0.289734i | ||||
\(243\) | 4.51715 | − | 14.9196i | 0.289775 | − | 0.957095i | ||||
\(244\) | 14.5271i | 0.930002i | ||||||||
\(245\) | −15.5332 | + | 4.16210i | −0.992377 | + | 0.265907i | ||||
\(246\) | 0.726717 | + | 2.78371i | 0.0463338 | + | 0.177483i | ||||
\(247\) | 0.174470 | + | 9.34181i | 0.0111012 | + | 0.594405i | ||||
\(248\) | 3.83363 | − | 2.21335i | 0.243436 | − | 0.140548i | ||||
\(249\) | 4.49887 | + | 7.90944i | 0.285104 | + | 0.501240i | ||||
\(250\) | 9.86984 | − | 17.0951i | 0.624223 | − | 1.08119i | ||||
\(251\) | 8.85205 | 0.558737 | 0.279368 | − | 0.960184i | \(-0.409875\pi\) | ||||
0.279368 | + | 0.960184i | \(0.409875\pi\) | |||||||
\(252\) | 4.72032 | + | 1.33018i | 0.297352 | + | 0.0837936i | ||||
\(253\) | 17.0962 | + | 17.0962i | 1.07483 | + | 1.07483i | ||||
\(254\) | −21.1630 | + | 5.67061i | −1.32789 | + | 0.355806i | ||||
\(255\) | 7.19849 | + | 0.0463482i | 0.450787 | + | 0.00290243i | ||||
\(256\) | −5.36061 | − | 9.28486i | −0.335038 | − | 0.580304i | ||||
\(257\) | −2.26603 | − | 3.92487i | −0.141351 | − | 0.244827i | 0.786655 | − | 0.617393i | \(-0.211811\pi\) |
−0.928006 | + | 0.372566i | \(0.878478\pi\) | |||||||
\(258\) | −0.141403 | + | 21.9617i | −0.00880335 | + | 1.36728i | ||||
\(259\) | 5.37588 | + | 3.10377i | 0.334041 | + | 0.192859i | ||||
\(260\) | 17.8113 | + | 9.84456i | 1.10461 | + | 0.610534i | ||||
\(261\) | −1.92019 | − | 0.0247277i | −0.118857 | − | 0.00153061i | ||||
\(262\) | 2.23217 | + | 2.23217i | 0.137904 | + | 0.137904i | ||||
\(263\) | −19.1309 | − | 11.0452i | −1.17966 | − | 0.681077i | −0.223724 | − | 0.974653i | \(-0.571821\pi\) |
−0.955936 | + | 0.293576i | \(0.905155\pi\) | |||||||
\(264\) | 2.68046 | + | 0.736756i | 0.164971 | + | 0.0453442i | ||||
\(265\) | 1.31998 | − | 4.92622i | 0.0810855 | − | 0.302615i | ||||
\(266\) | −3.71785 | − | 0.996194i | −0.227956 | − | 0.0610806i | ||||
\(267\) | 11.9886 | + | 7.02492i | 0.733690 | + | 0.429918i | ||||
\(268\) | −1.77754 | − | 6.63387i | −0.108581 | − | 0.405228i | ||||
\(269\) | − | 15.5727i | − | 0.949487i | −0.880124 | − | 0.474743i | \(-0.842541\pi\) | ||
0.880124 | − | 0.474743i | \(-0.157459\pi\) | |||||||
\(270\) | 18.4754 | + | 19.2033i | 1.12438 | + | 1.16867i | ||||
\(271\) | 13.0889 | − | 13.0889i | 0.795093 | − | 0.795093i | −0.187224 | − | 0.982317i | \(-0.559949\pi\) |
0.982317 | + | 0.187224i | \(0.0599490\pi\) | |||||||
\(272\) | 2.82558 | − | 4.89404i | 0.171326 | − | 0.296745i | ||||
\(273\) | 1.10789 | − | 4.34677i | 0.0670528 | − | 0.263078i | ||||
\(274\) | −6.52100 | − | 11.2947i | −0.393948 | − | 0.682338i | ||||
\(275\) | 3.12803 | + | 0.838153i | 0.188627 | + | 0.0505425i | ||||
\(276\) | −32.6596 | − | 8.97687i | −1.96587 | − | 0.540344i | ||||
\(277\) | 17.9495 | + | 10.3632i | 1.07848 | + | 0.622663i | 0.930487 | − | 0.366325i | \(-0.119384\pi\) |
0.147996 | + | 0.988988i | \(0.452718\pi\) | |||||||
\(278\) | −13.8347 | + | 13.8347i | −0.829753 | + | 0.829753i | ||||
\(279\) | −5.73587 | − | 22.5649i | −0.343397 | − | 1.35092i | ||||
\(280\) | −0.718500 | + | 0.718500i | −0.0429386 | + | 0.0429386i | ||||
\(281\) | 2.20684 | − | 0.591321i | 0.131649 | − | 0.0352753i | −0.192393 | − | 0.981318i | \(-0.561625\pi\) |
0.324042 | + | 0.946043i | \(0.394958\pi\) | |||||||
\(282\) | 32.5164 | + | 32.9378i | 1.93632 | + | 1.96142i | ||||
\(283\) | −3.07219 | + | 1.77373i | −0.182623 | + | 0.105437i | −0.588524 | − | 0.808480i | \(-0.700291\pi\) |
0.405902 | + | 0.913917i | \(0.366958\pi\) | |||||||
\(284\) | 8.65085 | − | 32.2854i | 0.513333 | − | 1.91579i | ||||
\(285\) | −7.82052 | − | 7.92188i | −0.463248 | − | 0.469252i | ||||
\(286\) | 5.05031 | − | 20.3616i | 0.298631 | − | 1.20400i | ||||
\(287\) | 0.576994i | 0.0340589i | ||||||||
\(288\) | 23.5915 | − | 5.99682i | 1.39014 | − | 0.353366i | ||||
\(289\) | −14.1917 | −0.834807 | ||||||||
\(290\) | 1.64138 | − | 2.84295i | 0.0963852 | − | 0.166944i | ||||
\(291\) | 25.3517 | − | 14.4200i | 1.48615 | − | 0.845315i | ||||
\(292\) | 1.79426 | − | 6.69627i | 0.105001 | − | 0.391870i | ||||
\(293\) | 4.64646 | − | 17.3408i | 0.271449 | − | 1.01306i | −0.686735 | − | 0.726908i | \(-0.740957\pi\) |
0.958184 | − | 0.286154i | \(-0.0923768\pi\) | |||||||
\(294\) | −20.0365 | − | 11.7407i | −1.16855 | − | 0.684734i | ||||
\(295\) | −4.27777 | + | 7.40932i | −0.249062 | + | 0.431387i | ||||
\(296\) | −4.92934 | −0.286512 | ||||||||
\(297\) | 7.55365 | − | 12.5185i | 0.438307 | − | 0.726398i | ||||
\(298\) | − | 22.8445i | − | 1.32334i | ||||||
\(299\) | −7.45826 | + | 30.0698i | −0.431322 | + | 1.73898i | ||||
\(300\) | −4.38956 | + | 1.14594i | −0.253431 | + | 0.0661608i | ||||
\(301\) | −1.13999 | + | 4.25451i | −0.0657080 | + | 0.245226i | ||||
\(302\) | −20.0728 | + | 11.5890i | −1.15506 | + | 0.666875i | ||||
\(303\) | 5.17493 | − | 18.8274i | 0.297292 | − | 1.08160i | ||||
\(304\) | −8.44104 | + | 2.26177i | −0.484127 | + | 0.129721i | ||||
\(305\) | −11.1941 | + | 11.1941i | −0.640975 | + | 0.640975i | ||||
\(306\) | 7.25559 | + | 7.44489i | 0.414774 | + | 0.425596i | ||||
\(307\) | −4.06807 | + | 4.06807i | −0.232177 | + | 0.232177i | −0.813601 | − | 0.581424i | \(-0.802496\pi\) |
0.581424 | + | 0.813601i | \(0.302496\pi\) | |||||||
\(308\) | 3.98352 | + | 2.29988i | 0.226982 | + | 0.131048i | ||||
\(309\) | −15.9448 | + | 15.7407i | −0.907065 | + | 0.895460i | ||||
\(310\) | 38.4443 | + | 10.3011i | 2.18349 | + | 0.585064i | ||||
\(311\) | 1.38932 | + | 2.40637i | 0.0787811 | + | 0.136453i | 0.902724 | − | 0.430220i | \(-0.141564\pi\) |
−0.823943 | + | 0.566672i | \(0.808231\pi\) | |||||||
\(312\) | 0.963962 | + | 3.42917i | 0.0545736 | + | 0.194138i | ||||
\(313\) | −8.45201 | + | 14.6393i | −0.477736 | + | 0.827463i | −0.999674 | − | 0.0255202i | \(-0.991876\pi\) |
0.521938 | + | 0.852983i | \(0.325209\pi\) | |||||||
\(314\) | −8.46074 | + | 8.46074i | −0.477467 | + | 0.477467i | ||||
\(315\) | 2.61234 | + | 4.66233i | 0.147189 | + | 0.262693i | ||||
\(316\) | − | 22.8459i | − | 1.28518i | ||||||
\(317\) | −2.08693 | − | 7.78853i | −0.117214 | − | 0.437448i | 0.882229 | − | 0.470820i | \(-0.156042\pi\) |
−0.999443 | + | 0.0333725i | \(0.989375\pi\) | |||||||
\(318\) | 6.40185 | − | 3.64136i | 0.358998 | − | 0.204197i | ||||
\(319\) | −1.73979 | − | 0.466174i | −0.0974093 | − | 0.0261007i | ||||
\(320\) | −6.44052 | + | 24.0363i | −0.360036 | + | 1.34367i | ||||
\(321\) | −5.13465 | − | 19.6685i | −0.286588 | − | 1.09779i | ||||
\(322\) | −11.0526 | − | 6.38124i | −0.615939 | − | 0.355613i | ||||
\(323\) | −3.07072 | − | 3.07072i | −0.170860 | − | 0.170860i | ||||
\(324\) | −0.527451 | + | 20.4758i | −0.0293028 | + | 1.13754i | ||||
\(325\) | 1.14865 | + | 3.98745i | 0.0637158 | + | 0.221184i | ||||
\(326\) | 20.8146 | + | 12.0173i | 1.15281 | + | 0.665577i | ||||
\(327\) | −5.97299 | − | 3.49997i | −0.330307 | − | 0.193549i | ||||
\(328\) | −0.229092 | − | 0.396800i | −0.0126495 | − | 0.0219096i | ||||
\(329\) | 4.64121 | + | 8.03882i | 0.255878 | + | 0.443194i | ||||
\(330\) | 12.3573 | + | 21.7253i | 0.680247 | + | 1.19594i | ||||
\(331\) | −18.1169 | + | 4.85441i | −0.995796 | + | 0.266823i | −0.719683 | − | 0.694303i | \(-0.755713\pi\) |
−0.276113 | + | 0.961125i | \(0.589046\pi\) | |||||||
\(332\) | −8.45433 | − | 8.45433i | −0.463992 | − | 0.463992i | ||||
\(333\) | −7.03210 | + | 24.9543i | −0.385357 | + | 1.36749i | ||||
\(334\) | −10.9636 | −0.599902 | ||||||||
\(335\) | 3.74214 | − | 6.48158i | 0.204455 | − | 0.354127i | ||||
\(336\) | 4.19537 | + | 0.0270123i | 0.228876 | + | 0.00147364i | ||||
\(337\) | 3.68461 | − | 2.12731i | 0.200713 | − | 0.115882i | −0.396275 | − | 0.918132i | \(-0.629697\pi\) |
0.596988 | + | 0.802250i | \(0.296364\pi\) | |||||||
\(338\) | 25.6877 | − | 7.92214i | 1.39723 | − | 0.430908i | ||||
\(339\) | −10.6529 | + | 10.5166i | −0.578584 | + | 0.571181i | ||||
\(340\) | −9.13641 | + | 2.44809i | −0.495491 | + | 0.132766i | ||||
\(341\) | − | 21.8374i | − | 1.18256i | ||||||
\(342\) | 0.207000 | − | 16.0743i | 0.0111933 | − | 0.869197i | ||||
\(343\) | −6.84868 | − | 6.84868i | −0.369794 | − | 0.369794i | ||||
\(344\) | −0.905256 | − | 3.37846i | −0.0488081 | − | 0.182154i | ||||
\(345\) | −18.2492 | − | 32.0838i | −0.982502 | − | 1.72733i | ||||
\(346\) | −46.1036 | − | 12.3534i | −2.47855 | − | 0.664124i | ||||
\(347\) | 15.2362 | − | 8.79662i | 0.817921 | − | 0.472227i | −0.0317778 | − | 0.999495i | \(-0.510117\pi\) |
0.849699 | + | 0.527268i | \(0.176784\pi\) | |||||||
\(348\) | 2.44144 | − | 0.637362i | 0.130875 | − | 0.0341662i | ||||
\(349\) | −7.81154 | − | 29.1531i | −0.418142 | − | 1.56053i | −0.778457 | − | 0.627698i | \(-0.783997\pi\) |
0.360315 | − | 0.932831i | \(-0.382669\pi\) | |||||||
\(350\) | −1.70941 | −0.0913719 | ||||||||
\(351\) | 18.7350 | + | 0.0120186i | 1.00000 | + | 0.000641506i | ||||
\(352\) | 22.8309 | 1.21689 | ||||||||
\(353\) | 2.13655 | + | 7.97372i | 0.113717 | + | 0.424398i | 0.999188 | − | 0.0402971i | \(-0.0128304\pi\) |
−0.885471 | + | 0.464696i | \(0.846164\pi\) | |||||||
\(354\) | −11.9546 | + | 3.12086i | −0.635377 | + | 0.165872i | ||||
\(355\) | 31.5442 | − | 18.2121i | 1.67419 | − | 0.966597i | ||||
\(356\) | −17.6356 | − | 4.72543i | −0.934682 | − | 0.250447i | ||||
\(357\) | 1.03080 | + | 1.81224i | 0.0545556 | + | 0.0959139i | ||||
\(358\) | −0.0258493 | − | 0.0964710i | −0.00136618 | − | 0.00509865i | ||||
\(359\) | 2.51172 | + | 2.51172i | 0.132563 | + | 0.132563i | 0.770275 | − | 0.637712i | \(-0.220119\pi\) |
−0.637712 | + | 0.770275i | \(0.720119\pi\) | |||||||
\(360\) | −3.64767 | − | 2.16908i | −0.192249 | − | 0.114321i | ||||
\(361\) | − | 12.2846i | − | 0.646559i | ||||||
\(362\) | −18.3668 | + | 4.92136i | −0.965337 | + | 0.258661i | ||||
\(363\) | −3.79957 | + | 3.75096i | −0.199426 | + | 0.196874i | ||||
\(364\) | 0.110060 | + | 5.89304i | 0.00576869 | + | 0.308879i | ||||
\(365\) | 6.54255 | − | 3.77734i | 0.342453 | − | 0.197715i | ||||
\(366\) | −22.8612 | − | 0.147194i | −1.19497 | − | 0.00769396i | ||||
\(367\) | −13.3528 | + | 23.1278i | −0.697012 | + | 1.20726i | 0.272486 | + | 0.962160i | \(0.412154\pi\) |
−0.969498 | + | 0.245100i | \(0.921179\pi\) | |||||||
\(368\) | −28.9761 | −1.51048 | ||||||||
\(369\) | −2.33558 | + | 0.593691i | −0.121585 | + | 0.0309063i | ||||
\(370\) | −31.3388 | − | 31.3388i | −1.62923 | − | 1.62923i | ||||
\(371\) | 1.42674 | − | 0.382295i | 0.0740729 | − | 0.0198478i | ||||
\(372\) | 15.1252 | + | 26.5916i | 0.784205 | + | 1.37871i | ||||
\(373\) | 18.6014 | + | 32.2186i | 0.963146 | + | 1.66822i | 0.714517 | + | 0.699618i | \(0.246647\pi\) |
0.248629 | + | 0.968599i | \(0.420020\pi\) | |||||||
\(374\) | 4.87522 | + | 8.44412i | 0.252091 | + | 0.436635i | ||||
\(375\) | 14.2657 | + | 8.35925i | 0.736679 | + | 0.431670i | ||||
\(376\) | −6.38354 | − | 3.68554i | −0.329206 | − | 0.190067i | ||||
\(377\) | −0.638872 | − | 2.21779i | −0.0329036 | − | 0.114222i | ||||
\(378\) | −2.14113 | + | 7.41486i | −0.110128 | + | 0.381379i | ||||
\(379\) | −8.49552 | − | 8.49552i | −0.436386 | − | 0.436386i | 0.454408 | − | 0.890794i | \(-0.349851\pi\) |
−0.890794 | + | 0.454408i | \(0.849851\pi\) | |||||||
\(380\) | 12.6671 | + | 7.31335i | 0.649808 | + | 0.375167i | ||||
\(381\) | −4.63562 | − | 17.7569i | −0.237490 | − | 0.909713i | ||||
\(382\) | 2.79716 | − | 10.4392i | 0.143115 | − | 0.534114i | ||||
\(383\) | −27.4642 | − | 7.35901i | −1.40336 | − | 0.376028i | −0.523807 | − | 0.851837i | \(-0.675489\pi\) |
−0.879549 | + | 0.475809i | \(0.842155\pi\) | |||||||
\(384\) | −6.80463 | + | 3.87045i | −0.347247 | + | 0.197513i | ||||
\(385\) | 1.29736 | + | 4.84180i | 0.0661194 | + | 0.246761i | ||||
\(386\) | − | 15.7972i | − | 0.804057i | ||||||
\(387\) | −18.3945 | − | 0.236880i | −0.935047 | − | 0.0120413i | ||||
\(388\) | −27.0982 | + | 27.0982i | −1.37571 | + | 1.37571i | ||||
\(389\) | −0.183289 | + | 0.317466i | −0.00929313 | + | 0.0160962i | −0.870635 | − | 0.491930i | \(-0.836291\pi\) |
0.861341 | + | 0.508026i | \(0.169625\pi\) | |||||||
\(390\) | −15.6728 | + | 27.9298i | −0.793623 | + | 1.41428i | ||||
\(391\) | −7.19968 | − | 12.4702i | −0.364103 | − | 0.630646i | ||||
\(392\) | 3.57241 | + | 0.957225i | 0.180434 | + | 0.0483472i | ||||
\(393\) | −1.88172 | + | 1.85764i | −0.0949202 | + | 0.0937057i | ||||
\(394\) | 14.5166 | + | 8.38118i | 0.731337 | + | 0.422238i | ||||
\(395\) | 17.6044 | − | 17.6044i | 0.885772 | − | 0.885772i | ||||
\(396\) | −5.21078 | + | 18.4911i | −0.261851 | + | 0.929212i | ||||
\(397\) | 18.2582 | − | 18.2582i | 0.916354 | − | 0.916354i | −0.0804077 | − | 0.996762i | \(-0.525622\pi\) |
0.996762 | + | 0.0804077i | \(0.0256222\pi\) | |||||||
\(398\) | 24.7528 | − | 6.63248i | 1.24074 | − | 0.332456i | ||||
\(399\) | 0.854470 | − | 3.10872i | 0.0427770 | − | 0.155631i | ||||
\(400\) | −3.36111 | + | 1.94053i | −0.168055 | + | 0.0970267i | ||||
\(401\) | −3.51653 | + | 13.1239i | −0.175607 | + | 0.655374i | 0.820840 | + | 0.571158i | \(0.193505\pi\) |
−0.996447 | + | 0.0842167i | \(0.973161\pi\) | |||||||
\(402\) | 10.4577 | − | 2.73009i | 0.521583 | − | 0.136164i | ||||
\(403\) | 23.9677 | − | 14.4411i | 1.19392 | − | 0.719362i | ||||
\(404\) | 25.6558i | 1.27643i | ||||||||
\(405\) | −16.1845 | + | 15.3716i | −0.804212 | + | 0.763820i | ||||
\(406\) | 0.950762 | 0.0471855 | ||||||||
\(407\) | −12.1585 | + | 21.0591i | −0.602674 | + | 1.04386i | ||||
\(408\) | −1.42842 | − | 0.837008i | −0.0707174 | − | 0.0414381i | ||||
\(409\) | 1.21223 | − | 4.52409i | 0.0599407 | − | 0.223702i | −0.929458 | − | 0.368929i | \(-0.879725\pi\) |
0.989398 | + | 0.145227i | \(0.0463913\pi\) | |||||||
\(410\) | 1.06622 | − | 3.97918i | 0.0526567 | − | 0.196518i | ||||
\(411\) | 9.49570 | − | 5.40113i | 0.468388 | − | 0.266418i | ||||
\(412\) | 14.7199 | − | 25.4957i | 0.725199 | − | 1.25608i | ||||
\(413\) | −2.47788 | −0.121928 | ||||||||
\(414\) | 14.4578 | − | 51.3052i | 0.710561 | − | 2.52151i | ||||
\(415\) | − | 13.0293i | − | 0.639583i | ||||||
\(416\) | 15.0981 | + | 25.0581i | 0.740245 | + | 1.22857i | ||||
\(417\) | −11.5135 | − | 11.6627i | −0.563818 | − | 0.571125i | ||||
\(418\) | 3.90243 | − | 14.5641i | 0.190874 | − | 0.712351i | ||||
\(419\) | 8.00346 | − | 4.62080i | 0.390994 | − | 0.225741i | −0.291596 | − | 0.956541i | \(-0.594186\pi\) |
0.682591 | + | 0.730801i | \(0.260853\pi\) | |||||||
\(420\) | −4.93337 | − | 4.99731i | −0.240724 | − | 0.243844i | ||||
\(421\) | 3.11954 | − | 0.835879i | 0.152037 | − | 0.0407382i | −0.181998 | − | 0.983299i | \(-0.558256\pi\) |
0.334035 | + | 0.942561i | \(0.391590\pi\) | |||||||
\(422\) | 23.3408 | − | 23.3408i | 1.13621 | − | 1.13621i | ||||
\(423\) | −27.7643 | + | 27.0583i | −1.34995 | + | 1.31562i | ||||
\(424\) | −0.829387 | + | 0.829387i | −0.0402786 | + | 0.0402786i | ||||
\(425\) | −1.67027 | − | 0.964329i | −0.0810198 | − | 0.0467768i | ||||
\(426\) | 50.7197 | + | 13.9409i | 2.45738 | + | 0.675440i | ||||
\(427\) | −4.42876 | − | 1.18668i | −0.214323 | − | 0.0574276i | ||||
\(428\) | 13.3548 | + | 23.1312i | 0.645530 | + | 1.11809i | ||||
\(429\) | 17.0278 | + | 4.33999i | 0.822108 | + | 0.209537i | ||||
\(430\) | 15.7237 | − | 27.2342i | 0.758262 | − | 1.31335i | ||||
\(431\) | 4.56246 | − | 4.56246i | 0.219766 | − | 0.219766i | −0.588634 | − | 0.808400i | \(-0.700334\pi\) |
0.808400 | + | 0.588634i | \(0.200334\pi\) | |||||||
\(432\) | 4.20743 | + | 17.0100i | 0.202430 | + | 0.818393i | ||||
\(433\) | 21.9739i | 1.05600i | 0.849246 | + | 0.527998i | \(0.177057\pi\) | ||||
−0.849246 | + | 0.527998i | \(0.822943\pi\) | |||||||
\(434\) | 2.98343 | + | 11.1343i | 0.143209 | + | 0.534465i | ||||
\(435\) | 2.37243 | + | 1.39017i | 0.113749 | + | 0.0666533i | ||||
\(436\) | 8.78644 | + | 2.35432i | 0.420794 | + | 0.112751i | ||||
\(437\) | −5.76307 | + | 21.5081i | −0.275685 | + | 1.02887i | ||||
\(438\) | 10.5197 | + | 2.89147i | 0.502651 | + | 0.138160i | ||||
\(439\) | 26.2789 | + | 15.1722i | 1.25423 | + | 0.724127i | 0.971946 | − | 0.235205i | \(-0.0755761\pi\) |
0.282280 | + | 0.959332i | \(0.408909\pi\) | |||||||
\(440\) | −2.81461 | − | 2.81461i | −0.134181 | − | 0.134181i | ||||
\(441\) | 9.94220 | − | 16.7194i | 0.473438 | − | 0.796164i | ||||
\(442\) | −6.04389 | + | 10.9349i | −0.287478 | + | 0.520121i | ||||
\(443\) | 0.263521 | + | 0.152144i | 0.0125203 | + | 0.00722858i | 0.506247 | − | 0.862388i | \(-0.331032\pi\) |
−0.493727 | + | 0.869617i | \(0.664366\pi\) | |||||||
\(444\) | 0.219332 | − | 34.0652i | 0.0104090 | − | 1.61666i | ||||
\(445\) | −9.94815 | − | 17.2307i | −0.471588 | − | 0.816814i | ||||
\(446\) | 15.0019 | + | 25.9841i | 0.710362 | + | 1.23038i | ||||
\(447\) | 19.1347 | + | 0.123201i | 0.905041 | + | 0.00582719i | ||||
\(448\) | −6.96147 | + | 1.86532i | −0.328898 | + | 0.0881280i | ||||
\(449\) | −2.84756 | − | 2.84756i | −0.134384 | − | 0.134384i | 0.636715 | − | 0.771099i | \(-0.280293\pi\) |
−0.771099 | + | 0.636715i | \(0.780293\pi\) | |||||||
\(450\) | −1.75888 | − | 6.91943i | −0.0829144 | − | 0.326185i | ||||
\(451\) | −2.26028 | −0.106432 | ||||||||
\(452\) | 9.83454 | − | 17.0339i | 0.462578 | − | 0.801209i | ||||
\(453\) | −9.59882 | − | 16.8756i | −0.450992 | − | 0.792887i | ||||
\(454\) | −16.3147 | + | 9.41930i | −0.765687 | + | 0.442070i | ||||
\(455\) | −4.45619 | + | 4.62581i | −0.208909 | + | 0.216861i | ||||
\(456\) | 0.646683 | + | 2.47714i | 0.0302837 | + | 0.116003i | ||||
\(457\) | −4.45548 | + | 1.19384i | −0.208419 | + | 0.0558456i | −0.361518 | − | 0.932365i | \(-0.617741\pi\) |
0.153099 | + | 0.988211i | \(0.451075\pi\) | |||||||
\(458\) | 15.2635i | 0.713215i | ||||||||
\(459\) | −6.27503 | + | 6.03719i | −0.292893 | + | 0.281792i | ||||
\(460\) | 34.2941 | + | 34.2941i | 1.59897 | + | 1.59897i | ||||
\(461\) | −6.74600 | − | 25.1764i | −0.314192 | − | 1.17258i | −0.924739 | − | 0.380602i | \(-0.875717\pi\) |
0.610547 | − | 0.791980i | \(-0.290950\pi\) | |||||||
\(462\) | −3.65968 | + | 6.24553i | −0.170264 | + | 0.290569i | ||||
\(463\) | 10.2466 | + | 2.74557i | 0.476200 | + | 0.127597i | 0.488933 | − | 0.872322i | \(-0.337386\pi\) |
−0.0127328 | + | 0.999919i | \(0.504053\pi\) | |||||||
\(464\) | 1.86942 | − | 1.07931i | 0.0867856 | − | 0.0501057i | ||||
\(465\) | −8.83563 | + | 32.1457i | −0.409742 | + | 1.49072i | ||||
\(466\) | 12.1362 | + | 45.2928i | 0.562197 | + | 2.09815i | ||||
\(467\) | 16.2595 | 0.752398 | 0.376199 | − | 0.926539i | \(-0.377231\pi\) | ||||
0.376199 | + | 0.926539i | \(0.377231\pi\) | |||||||
\(468\) | −23.7409 | + | 6.50908i | −1.09742 | + | 0.300882i | ||||
\(469\) | 2.16762 | 0.100091 | ||||||||
\(470\) | −17.1528 | − | 64.0153i | −0.791202 | − | 2.95280i | ||||
\(471\) | −7.04116 | − | 7.13242i | −0.324439 | − | 0.328644i | ||||
\(472\) | 1.70404 | − | 0.983829i | 0.0784349 | − | 0.0452844i | ||||
\(473\) | −16.6663 | − | 4.46573i | −0.766319 | − | 0.205335i | ||||
\(474\) | 35.9525 | + | 0.231484i | 1.65135 | + | 0.0106324i | ||||
\(475\) | 0.771909 | + | 2.88080i | 0.0354176 | + | 0.132180i | ||||
\(476\) | −1.93709 | − | 1.93709i | −0.0887862 | − | 0.0887862i | ||||
\(477\) | 3.01550 | + | 5.38188i | 0.138070 | + | 0.246419i | ||||
\(478\) | − | 21.4956i | − | 0.983186i | ||||||
\(479\) | −21.4454 | + | 5.74628i | −0.979865 | + | 0.262554i | −0.712988 | − | 0.701177i | \(-0.752658\pi\) |
−0.266877 | + | 0.963731i | \(0.585992\pi\) | |||||||
\(480\) | −33.6081 | − | 9.23760i | −1.53399 | − | 0.421637i | ||||
\(481\) | −31.1540 | + | 0.581837i | −1.42050 | + | 0.0265295i | ||||
\(482\) | 19.4210 | − | 11.2127i | 0.884601 | − | 0.510725i | ||||
\(483\) | 5.40458 | − | 9.22336i | 0.245917 | − | 0.419677i | ||||
\(484\) | 3.50770 | − | 6.07552i | 0.159441 | − | 0.276160i | ||||
\(485\) | −41.7622 | −1.89632 | ||||||||
\(486\) | −32.2173 | − | 1.03751i | −1.46141 | − | 0.0470626i | ||||
\(487\) | 14.0513 | + | 14.0513i | 0.636725 | + | 0.636725i | 0.949746 | − | 0.313021i | \(-0.101341\pi\) |
−0.313021 | + | 0.949746i | \(0.601341\pi\) | |||||||
\(488\) | 3.51683 | − | 0.942332i | 0.159200 | − | 0.0426574i | ||||
\(489\) | −10.1780 | + | 17.3696i | −0.460267 | + | 0.785482i | ||||
\(490\) | 16.6263 | + | 28.7977i | 0.751101 | + | 1.30095i | ||||
\(491\) | 6.14882 | + | 10.6501i | 0.277492 | + | 0.480631i | 0.970761 | − | 0.240049i | \(-0.0771634\pi\) |
−0.693269 | + | 0.720679i | \(0.743830\pi\) | |||||||
\(492\) | 2.75236 | − | 1.56554i | 0.124086 | − | 0.0705798i | ||||
\(493\) | 0.928989 | + | 0.536352i | 0.0418396 | + | 0.0241561i | ||||
\(494\) | 18.5655 | − | 5.34811i | 0.835302 | − | 0.240623i | ||||
\(495\) | −18.2639 | + | 10.2334i | −0.820903 | + | 0.459957i | ||||
\(496\) | 18.5059 | + | 18.5059i | 0.830939 | + | 0.830939i | ||||
\(497\) | 9.13592 | + | 5.27463i | 0.409802 | + | 0.236599i | ||||
\(498\) | 13.3902 | − | 13.2189i | 0.600029 | − | 0.592352i | ||||
\(499\) | −2.82782 | + | 10.5536i | −0.126591 | + | 0.472442i | −0.999891 | − | 0.0147389i | \(-0.995308\pi\) |
0.873301 | + | 0.487181i | \(0.161975\pi\) | |||||||
\(500\) | −20.9853 | − | 5.62299i | −0.938491 | − | 0.251468i | ||||
\(501\) | 0.0591270 | − | 9.18321i | 0.00264160 | − | 0.410275i | ||||
\(502\) | −4.73752 | − | 17.6807i | −0.211446 | − | 0.789127i | ||||
\(503\) | 14.9431i | 0.666280i | 0.942877 | + | 0.333140i | \(0.108108\pi\) | ||||
−0.942877 | + | 0.333140i | \(0.891892\pi\) | |||||||
\(504\) | 0.0158269 | − | 1.22902i | 0.000704988 | − | 0.0547448i | ||||
\(505\) | −19.7696 | + | 19.7696i | −0.879736 | + | 0.879736i | ||||
\(506\) | 24.9975 | − | 43.2969i | 1.11127 | − | 1.92478i | ||||
\(507\) | 6.49711 | + | 21.5589i | 0.288547 | + | 0.957466i | ||||
\(508\) | 12.0569 | + | 20.8831i | 0.534937 | + | 0.926539i | ||||
\(509\) | 0.560573 | + | 0.150205i | 0.0248470 | + | 0.00665772i | 0.271221 | − | 0.962517i | \(-0.412573\pi\) |
−0.246374 | + | 0.969175i | \(0.579239\pi\) | |||||||
\(510\) | −3.75998 | − | 14.4027i | −0.166495 | − | 0.637763i | ||||
\(511\) | 1.89487 | + | 1.09400i | 0.0838241 | + | 0.0483959i | ||||
\(512\) | −22.0680 | + | 22.0680i | −0.975278 | + | 0.975278i | ||||
\(513\) | 13.4628 | + | 0.260074i | 0.594398 | + | 0.0114825i | ||||
\(514\) | −6.62660 | + | 6.62660i | −0.292287 | + | 0.292287i | ||||
\(515\) | 30.9889 | − | 8.30346i | 1.36554 | − | 0.365894i | ||||
\(516\) | 23.3878 | − | 6.10563i | 1.02959 | − | 0.268786i | ||||
\(517\) | −31.4908 | + | 18.1812i | −1.38496 | + | 0.799608i | ||||
\(518\) | 3.32220 | − | 12.3986i | 0.145969 | − | 0.544764i | ||||
\(519\) | 10.5960 | − | 38.5501i | 0.465111 | − | 1.69216i | ||||
\(520\) | 1.22788 | − | 4.95049i | 0.0538460 | − | 0.217093i | ||||
\(521\) | 25.9083i | 1.13506i | 0.823351 | + | 0.567532i | \(0.192102\pi\) | ||||
−0.823351 | + | 0.567532i | \(0.807898\pi\) | |||||||
\(522\) | 0.978275 | + | 3.84853i | 0.0428180 | + | 0.168446i | ||||
\(523\) | −38.2215 | −1.67131 | −0.835654 | − | 0.549256i | \(-0.814911\pi\) | ||||
−0.835654 | + | 0.549256i | \(0.814911\pi\) | |||||||
\(524\) | 1.73717 | − | 3.00887i | 0.0758888 | − | 0.131443i | ||||
\(525\) | 0.00921890 | − | 1.43182i | 0.000402346 | − | 0.0624896i | ||||
\(526\) | −11.8225 | + | 44.1223i | −0.515488 | + | 1.92383i | ||||
\(527\) | −3.36608 | + | 12.5624i | −0.146629 | + | 0.547226i | ||||
\(528\) | −0.105816 | + | 16.4347i | −0.00460506 | + | 0.715227i | ||||
\(529\) | −25.4161 | + | 44.0219i | −1.10505 | + | 1.91400i | ||||
\(530\) | −10.5458 | −0.458082 | ||||||||
\(531\) | −2.54958 | − | 10.0301i | −0.110643 | − | 0.435268i | ||||
\(532\) | 4.23622i | 0.183664i | ||||||||
\(533\) | −1.49473 | − | 2.48078i | −0.0647438 | − | 0.107454i | ||||
\(534\) | 7.61508 | − | 27.7051i | 0.329537 | − | 1.19892i | ||||
\(535\) | −7.53341 | + | 28.1151i | −0.325698 | + | 1.21552i | ||||
\(536\) | −1.49068 | + | 0.860642i | −0.0643874 | + | 0.0371741i | ||||
\(537\) | 0.0809443 | − | 0.0211313i | 0.00349301 | − | 0.000911885i | ||||
\(538\) | −31.1042 | + | 8.33436i | −1.34100 | + | 0.359320i | ||||
\(539\) | 12.9010 | − | 12.9010i | 0.555687 | − | 0.555687i | ||||
\(540\) | 15.1522 | − | 25.1114i | 0.652047 | − | 1.08062i | ||||
\(541\) | 19.3680 | − | 19.3680i | 0.832697 | − | 0.832697i | −0.155188 | − | 0.987885i | \(-0.549598\pi\) |
0.987885 | + | 0.155188i | \(0.0495984\pi\) | |||||||
\(542\) | −33.1481 | − | 19.1381i | −1.42383 | − | 0.822051i | ||||
\(543\) | −4.02312 | − | 15.4107i | −0.172649 | − | 0.661337i | ||||
\(544\) | −13.1339 | − | 3.51922i | −0.563112 | − | 0.150885i | ||||
\(545\) | 4.95639 | + | 8.58473i | 0.212309 | + | 0.367729i | ||||
\(546\) | −9.27496 | + | 0.113490i | −0.396932 | + | 0.00485690i | ||||
\(547\) | 16.0080 | − | 27.7266i | 0.684451 | − | 1.18550i | −0.289158 | − | 0.957281i | \(-0.593375\pi\) |
0.973609 | − | 0.228222i | \(-0.0732913\pi\) | |||||||
\(548\) | −10.1499 | + | 10.1499i | −0.433581 | + | 0.433581i | ||||
\(549\) | 0.246582 | − | 19.1479i | 0.0105239 | − | 0.817214i | ||||
\(550\) | − | 6.69635i | − | 0.285533i | ||||||
\(551\) | −0.429330 | − | 1.60228i | −0.0182901 | − | 0.0682594i | ||||
\(552\) | −0.0546559 | + | 8.48878i | −0.00232631 | + | 0.361307i | ||||
\(553\) | 6.96485 | + | 1.86623i | 0.296176 | + | 0.0793600i | ||||
\(554\) | 11.0925 | − | 41.3978i | 0.471275 | − | 1.75882i | ||||
\(555\) | 26.4186 | − | 26.0806i | 1.12141 | − | 1.10706i | ||||
\(556\) | 18.6487 | + | 10.7668i | 0.790880 | + | 0.456615i | ||||
\(557\) | 8.80816 | + | 8.80816i | 0.373214 | + | 0.373214i | 0.868646 | − | 0.495433i | \(-0.164990\pi\) |
−0.495433 | + | 0.868646i | \(0.664990\pi\) | |||||||
\(558\) | −42.0002 | + | 23.5330i | −1.77801 | + | 0.996232i | ||||
\(559\) | −6.12010 | − | 21.2454i | −0.258853 | − | 0.898585i | ||||
\(560\) | −5.20257 | − | 3.00371i | −0.219849 | − | 0.126930i | ||||
\(561\) | −7.09915 | + | 4.03798i | −0.299727 | + | 0.170484i | ||||
\(562\) | −2.36215 | − | 4.09137i | −0.0996414 | − | 0.172584i | ||||
\(563\) | −5.20323 | − | 9.01226i | −0.219290 | − | 0.379822i | 0.735301 | − | 0.677741i | \(-0.237041\pi\) |
−0.954591 | + | 0.297919i | \(0.903707\pi\) | |||||||
\(564\) | 25.7537 | − | 43.9508i | 1.08443 | − | 1.85066i | ||||
\(565\) | 20.7040 | − | 5.54763i | 0.871025 | − | 0.233390i | ||||
\(566\) | 5.18696 | + | 5.18696i | 0.218024 | + | 0.218024i | ||||
\(567\) | −6.19920 | − | 1.83342i | −0.260342 | − | 0.0769962i | ||||
\(568\) | −8.37706 | −0.351494 | ||||||||
\(569\) | 22.0174 | − | 38.1353i | 0.923018 | − | 1.59871i | 0.128300 | − | 0.991735i | \(-0.459048\pi\) |
0.794718 | − | 0.606979i | \(-0.207619\pi\) | |||||||
\(570\) | −11.6373 | + | 19.8600i | −0.487434 | + | 0.831845i | ||||
\(571\) | −24.3913 | + | 14.0823i | −1.02074 | + | 0.589327i | −0.914320 | − | 0.404993i | \(-0.867274\pi\) |
−0.106425 | + | 0.994321i | \(0.533940\pi\) | |||||||
\(572\) | −23.0850 | + | 0.431141i | −0.965234 | + | 0.0180269i | ||||
\(573\) | 8.72884 | + | 2.39923i | 0.364653 | + | 0.100229i | ||||
\(574\) | 1.15246 | − | 0.308801i | 0.0481027 | − | 0.0128891i | ||||
\(575\) | 9.88911i | 0.412405i | ||||||||
\(576\) | −14.7134 | − | 26.2596i | −0.613060 | − | 1.09415i | ||||
\(577\) | −11.2232 | − | 11.2232i | −0.467226 | − | 0.467226i | 0.433788 | − | 0.901015i | \(-0.357177\pi\) |
−0.901015 | + | 0.433788i | \(0.857177\pi\) | |||||||
\(578\) | 7.59525 | + | 28.3459i | 0.315921 | + | 1.17903i | ||||
\(579\) | 13.2319 | + | 0.0851947i | 0.549898 | + | 0.00354057i | ||||
\(580\) | −3.48991 | − | 0.935119i | −0.144911 | − | 0.0388287i | ||||
\(581\) | 3.26802 | − | 1.88679i | 0.135580 | − | 0.0782772i | ||||
\(582\) | −42.3698 | − | 42.9189i | −1.75628 | − | 1.77905i | ||||
\(583\) | 1.49758 | + | 5.58904i | 0.0620234 | + | 0.231474i | ||||
\(584\) | −1.73747 | −0.0718972 | ||||||||
\(585\) | −23.3097 | − | 13.2783i | −0.963737 | − | 0.548990i | ||||
\(586\) | −37.1225 | −1.53351 | ||||||||
\(587\) | −2.48413 | − | 9.27089i | −0.102531 | − | 0.382650i | 0.895522 | − | 0.445016i | \(-0.146802\pi\) |
−0.998053 | + | 0.0623658i | \(0.980135\pi\) | |||||||
\(588\) | −6.77406 | + | 24.6453i | −0.279358 | + | 1.01636i | ||||
\(589\) | 17.4170 | − | 10.0557i | 0.717656 | − | 0.414339i | ||||
\(590\) | 17.0884 | + | 4.57883i | 0.703520 | + | 0.188508i | ||||
\(591\) | −7.09843 | + | 12.1140i | −0.291990 | + | 0.498305i | ||||
\(592\) | −7.54276 | − | 28.1500i | −0.310006 | − | 1.15696i | ||||
\(593\) | 10.2348 | + | 10.2348i | 0.420295 | + | 0.420295i | 0.885305 | − | 0.465011i | \(-0.153949\pi\) |
−0.465011 | + | 0.885305i | \(0.653949\pi\) | |||||||
\(594\) | −29.0465 | − | 8.38753i | −1.19179 | − | 0.344144i | ||||
\(595\) | − | 2.98532i | − | 0.122386i | ||||||
\(596\) | −24.2860 | + | 6.50742i | −0.994794 | + | 0.266554i | ||||
\(597\) | 5.42193 | + | 20.7689i | 0.221905 | + | 0.850014i | ||||
\(598\) | 64.0515 | − | 1.19624i | 2.61926 | − | 0.0489178i | ||||
\(599\) | 14.7650 | − | 8.52460i | 0.603283 | − | 0.348306i | −0.167049 | − | 0.985949i | \(-0.553424\pi\) |
0.770332 | + | 0.637643i | \(0.220090\pi\) | |||||||
\(600\) | 0.562156 | + | 0.988324i | 0.0229499 | + | 0.0403482i | ||||
\(601\) | 14.6327 | − | 25.3446i | 0.596880 | − | 1.03383i | −0.396398 | − | 0.918079i | \(-0.629740\pi\) |
0.993279 | − | 0.115748i | \(-0.0369267\pi\) | |||||||
\(602\) | 9.10786 | 0.371209 | ||||||||
\(603\) | 2.23035 | + | 8.77418i | 0.0908267 | + | 0.357312i | ||||
\(604\) | 18.0382 | + | 18.0382i | 0.733965 | + | 0.733965i | ||||
\(605\) | 7.38455 | − | 1.97868i | 0.300224 | − | 0.0804449i | ||||
\(606\) | −40.3744 | − | 0.259955i | −1.64010 | − | 0.0105599i | ||||
\(607\) | −13.8011 | − | 23.9043i | −0.560171 | − | 0.970245i | −0.997481 | − | 0.0709341i | \(-0.977402\pi\) |
0.437310 | − | 0.899311i | \(-0.355931\pi\) | |||||||
\(608\) | 10.5132 | + | 18.2094i | 0.426367 | + | 0.738489i | ||||
\(609\) | −0.00512748 | + | 0.796366i | −0.000207776 | + | 0.0322704i | ||||
\(610\) | 28.3496 | + | 16.3677i | 1.14784 | + | 0.662707i | ||||
\(611\) | −40.7797 | − | 22.5395i | −1.64977 | − | 0.911852i | ||||
\(612\) | 5.84788 | − | 9.83416i | 0.236386 | − | 0.397522i | ||||
\(613\) | 29.6644 | + | 29.6644i | 1.19813 | + | 1.19813i | 0.974724 | + | 0.223410i | \(0.0717190\pi\) |
0.223410 | + | 0.974724i | \(0.428281\pi\) | |||||||
\(614\) | 10.3026 | + | 5.94819i | 0.415777 | + | 0.240049i | ||||
\(615\) | 3.32724 | + | 0.914532i | 0.134167 | + | 0.0368775i | ||||
\(616\) | 0.298374 | − | 1.11355i | 0.0120218 | − | 0.0448661i | ||||
\(617\) | −20.7938 | − | 5.57169i | −0.837129 | − | 0.224308i | −0.185307 | − | 0.982681i | \(-0.559328\pi\) |
−0.651821 | + | 0.758373i | \(0.725995\pi\) | |||||||
\(618\) | 39.9733 | + | 23.4230i | 1.60796 | + | 0.942212i | ||||
\(619\) | −8.49836 | − | 31.7163i | −0.341578 | − | 1.27479i | −0.896560 | − | 0.442923i | \(-0.853941\pi\) |
0.554982 | − | 0.831862i | \(-0.312725\pi\) | |||||||
\(620\) | − | 43.8045i | − | 1.75923i | ||||||
\(621\) | 42.8957 | + | 12.3866i | 1.72134 | + | 0.497058i | ||||
\(622\) | 4.06283 | − | 4.06283i | 0.162904 | − | 0.162904i | ||||
\(623\) | 2.88121 | − | 4.99040i | 0.115433 | − | 0.199936i | ||||
\(624\) | −18.1079 | + | 10.7521i | −0.724896 | + | 0.430430i | ||||
\(625\) | −14.7150 | − | 25.4870i | −0.588598 | − | 1.01948i | ||||
\(626\) | 33.7633 | + | 9.04685i | 1.34945 | + | 0.361585i | ||||
\(627\) | 12.1779 | + | 3.34725i | 0.486339 | + | 0.133676i | ||||
\(628\) | 11.4047 | + | 6.58453i | 0.455099 | + | 0.262751i | ||||
\(629\) | 10.2405 | − | 10.2405i | 0.408317 | − | 0.408317i | ||||
\(630\) | 7.91423 | − | 7.71299i | 0.315310 | − | 0.307293i | ||||
\(631\) | −1.62125 | + | 1.62125i | −0.0645408 | + | 0.0645408i | −0.738640 | − | 0.674100i | \(-0.764532\pi\) |
0.674100 | + | 0.738640i | \(0.264532\pi\) | |||||||
\(632\) | −5.53072 | + | 1.48195i | −0.220000 | + | 0.0589489i | ||||
\(633\) | 19.4245 | + | 19.6763i | 0.772056 | + | 0.782062i | ||||
\(634\) | −14.4395 | + | 8.33667i | −0.573467 | + | 0.331092i | ||||
\(635\) | −6.80124 | + | 25.3826i | −0.269899 | + | 1.00728i | ||||
\(636\) | −5.69475 | − | 5.76856i | −0.225811 | − | 0.228738i | ||||
\(637\) | 22.6910 | + | 5.62810i | 0.899052 | + | 0.222993i | ||||
\(638\) | 3.72446i | 0.147453i | ||||||||
\(639\) | −11.9506 | + | 42.4080i | −0.472757 | + | 1.67764i | ||||
\(640\) | 11.2093 | 0.443088 | ||||||||
\(641\) | −16.3798 | + | 28.3706i | −0.646962 | + | 1.12057i | 0.336883 | + | 0.941547i | \(0.390627\pi\) |
−0.983845 | + | 0.179024i | \(0.942706\pi\) | |||||||
\(642\) | −36.5368 | + | 20.7820i | −1.44199 | + | 0.820202i | ||||
\(643\) | 4.76277 | − | 17.7749i | 0.187825 | − | 0.700974i | −0.806183 | − | 0.591667i | \(-0.798470\pi\) |
0.994008 | − | 0.109307i | \(-0.0348632\pi\) | |||||||
\(644\) | −3.63549 | + | 13.5678i | −0.143258 | + | 0.534647i | ||||
\(645\) | 22.7268 | + | 13.3171i | 0.894866 | + | 0.524362i | ||||
\(646\) | −4.48990 | + | 7.77673i | −0.176653 | + | 0.305971i | ||||
\(647\) | 4.78680 | 0.188189 | 0.0940943 | − | 0.995563i | \(-0.470004\pi\) | ||||
0.0940943 | + | 0.995563i | \(0.470004\pi\) | |||||||
\(648\) | 4.99115 | − | 1.20052i | 0.196071 | − | 0.0471608i | ||||
\(649\) | − | 9.70669i | − | 0.381021i | ||||||
\(650\) | 7.34960 | − | 4.42831i | 0.288275 | − | 0.173692i | ||||
\(651\) | −9.34229 | + | 2.43890i | −0.366153 | + | 0.0955881i | ||||
\(652\) | 6.84643 | − | 25.5512i | 0.268127 | − | 1.00066i | ||||
\(653\) | 19.6024 | − | 11.3174i | 0.767099 | − | 0.442885i | −0.0647395 | − | 0.997902i | \(-0.520622\pi\) |
0.831839 | + | 0.555017i | \(0.187288\pi\) | |||||||
\(654\) | −3.79400 | + | 13.8033i | −0.148357 | + | 0.539752i | ||||
\(655\) | 3.65716 | − | 0.979933i | 0.142897 | − | 0.0382891i | ||||
\(656\) | 1.91545 | − | 1.91545i | 0.0747859 | − | 0.0747859i | ||||
\(657\) | −2.47865 | + | 8.79579i | −0.0967013 | + | 0.343157i | ||||
\(658\) | 13.5724 | − | 13.5724i | 0.529108 | − | 0.529108i | ||||
\(659\) | 26.6129 | + | 15.3650i | 1.03669 | + | 0.598534i | 0.918894 | − | 0.394504i | \(-0.129083\pi\) |
0.117797 | + | 0.993038i | \(0.462417\pi\) | |||||||
\(660\) | 19.5762 | − | 19.3257i | 0.762001 | − | 0.752251i | ||||
\(661\) | 21.8305 | + | 5.84945i | 0.849106 | + | 0.227517i | 0.657032 | − | 0.753863i | \(-0.271812\pi\) |
0.192075 | + | 0.981380i | \(0.438478\pi\) | |||||||
\(662\) | 19.3919 | + | 33.5878i | 0.753689 | + | 1.30543i | ||||
\(663\) | −9.12658 | − | 5.12138i | −0.354447 | − | 0.198898i | ||||
\(664\) | −1.49828 | + | 2.59510i | −0.0581446 | + | 0.100709i | ||||
\(665\) | −3.26431 | + | 3.26431i | −0.126584 | + | 0.126584i | ||||
\(666\) | 53.6060 | + | 0.690324i | 2.07719 | + | 0.0267495i | ||||
\(667\) | − | 5.50025i | − | 0.212970i | ||||||
\(668\) | 3.12306 | + | 11.6554i | 0.120835 | + | 0.450962i | ||||
\(669\) | −21.8454 | + | 12.4256i | −0.844592 | + | 0.480402i | ||||
\(670\) | −14.9488 | − | 4.00551i | −0.577521 | − | 0.154746i | ||||
\(671\) | 4.64863 | − | 17.3489i | 0.179459 | − | 0.669748i | ||||
\(672\) | −2.54986 | − | 9.76732i | −0.0983629 | − | 0.376783i | ||||
\(673\) | −30.7617 | − | 17.7603i | −1.18577 | − | 0.684607i | −0.228431 | − | 0.973560i | \(-0.573360\pi\) |
−0.957343 | + | 0.288953i | \(0.906693\pi\) | |||||||
\(674\) | −6.22095 | − | 6.22095i | −0.239622 | − | 0.239622i | ||||
\(675\) | 5.80526 | − | 1.43594i | 0.223444 | − | 0.0552692i | ||||
\(676\) | −15.7394 | − | 25.0520i | −0.605360 | − | 0.963537i | ||||
\(677\) | −24.0646 | − | 13.8937i | −0.924877 | − | 0.533978i | −0.0396894 | − | 0.999212i | \(-0.512637\pi\) |
−0.885188 | + | 0.465234i | \(0.845970\pi\) | |||||||
\(678\) | 26.7065 | + | 15.6492i | 1.02566 | + | 0.601002i | ||||
\(679\) | −6.04763 | − | 10.4748i | −0.232087 | − | 0.401986i | ||||
\(680\) | 1.18531 | + | 2.05301i | 0.0454544 | + | 0.0787294i | ||||
\(681\) | −7.80170 | − | 13.7161i | −0.298962 | − | 0.525603i | ||||
\(682\) | −43.6169 | + | 11.6871i | −1.67018 | + | 0.447523i | ||||
\(683\) | 9.26458 | + | 9.26458i | 0.354499 | + | 0.354499i | 0.861780 | − | 0.507281i | \(-0.169350\pi\) |
−0.507281 | + | 0.861780i | \(0.669350\pi\) | |||||||
\(684\) | −17.1476 | + | 4.35881i | −0.655653 | + | 0.166663i | ||||
\(685\) | −15.6424 | −0.597664 | ||||||||
\(686\) | −10.0139 | + | 17.3446i | −0.382332 | + | 0.662219i | ||||
\(687\) | −12.7848 | − | 0.0823162i | −0.487770 | − | 0.00314056i | ||||
\(688\) | 17.9082 | − | 10.3393i | 0.682743 | − | 0.394182i | ||||
\(689\) | −5.14392 | + | 5.33972i | −0.195968 | + | 0.203427i | ||||
\(690\) | −54.3158 | + | 53.6209i | −2.06777 | + | 2.04131i | ||||
\(691\) | −9.59688 | + | 2.57148i | −0.365082 | + | 0.0978235i | −0.436697 | − | 0.899609i | \(-0.643852\pi\) |
0.0716141 | + | 0.997432i | \(0.477185\pi\) | |||||||
\(692\) | 52.5318i | 1.99696i | ||||||||
\(693\) | −5.21157 | − | 3.09906i | −0.197971 | − | 0.117723i | ||||
\(694\) | −25.7242 | − | 25.7242i | −0.976476 | − | 0.976476i | ||||
\(695\) | 6.07352 | + | 22.6667i | 0.230382 | + | 0.859797i | ||||
\(696\) | −0.312667 | − | 0.549698i | −0.0118516 | − | 0.0208363i | ||||
\(697\) | 1.30027 | + | 0.348407i | 0.0492513 | + | 0.0131968i | ||||
\(698\) | −54.0483 | + | 31.2048i | −2.04576 | + | 1.18112i | ||||
\(699\) | −38.0030 | + | 9.92108i | −1.43741 | + | 0.375250i | ||||
\(700\) | 0.486939 | + | 1.81728i | 0.0184046 | + | 0.0686867i | ||||
\(701\) | −27.4261 | −1.03587 | −0.517934 | − | 0.855420i | \(-0.673299\pi\) | ||||
−0.517934 | + | 0.855420i | \(0.673299\pi\) | |||||||
\(702\) | −10.0028 | − | 37.4268i | −0.377530 | − | 1.41258i | ||||
\(703\) | −22.3951 | −0.844647 | ||||||||
\(704\) | −7.30709 | − | 27.2704i | −0.275396 | − | 1.02779i | ||||
\(705\) | 53.7122 | − | 14.0221i | 2.02292 | − | 0.528104i | ||||
\(706\) | 14.7829 | − | 8.53490i | 0.556361 | − | 0.321215i | ||||
\(707\) | −7.82149 | − | 2.09576i | −0.294157 | − | 0.0788192i | ||||
\(708\) | 6.72314 | + | 11.8199i | 0.252671 | + | 0.444220i | ||||
\(709\) | −0.967693 | − | 3.61148i | −0.0363425 | − | 0.135632i | 0.945371 | − | 0.325996i | \(-0.105700\pi\) |
−0.981713 | + | 0.190364i | \(0.939033\pi\) | |||||||
\(710\) | −53.2580 | − | 53.2580i | −1.99874 | − | 1.99874i | ||||
\(711\) | −0.387785 | + | 30.1128i | −0.0145431 | + | 1.12932i | ||||
\(712\) | 4.57588i | 0.171488i | ||||||||
\(713\) | 64.4131 | − | 17.2595i | 2.41229 | − | 0.646372i | ||||
\(714\) | 3.06801 | − | 3.02875i | 0.114817 | − | 0.113348i | ||||
\(715\) | −18.1209 | − | 17.4564i | −0.677682 | − | 0.652833i | ||||
\(716\) | −0.0951952 | + | 0.0549610i | −0.00355761 | + | 0.00205399i | ||||
\(717\) | 18.0049 | + | 0.115926i | 0.672405 | + | 0.00432934i | ||||
\(718\) | 3.67254 | − | 6.36103i | 0.137058 | − | 0.237392i | ||||
\(719\) | 6.34901 | 0.236778 | 0.118389 | − | 0.992967i | \(-0.462227\pi\) | ||||
0.118389 | + | 0.992967i | \(0.462227\pi\) | |||||||
\(720\) | 6.80540 | − | 24.1498i | 0.253622 | − | 0.900010i | ||||
\(721\) | 6.57023 | + | 6.57023i | 0.244688 | + | 0.244688i | ||||
\(722\) | −24.5367 | + | 6.57459i | −0.913162 | + | 0.244681i | ||||
\(723\) | 9.28711 | + | 16.3276i | 0.345391 | + | 0.607231i | ||||
\(724\) | 10.4638 | + | 18.1239i | 0.388885 | + | 0.673569i | ||||
\(725\) | −0.368353 | − | 0.638006i | −0.0136803 | − | 0.0236949i | ||||
\(726\) | 9.52547 | + | 5.58161i | 0.353523 | + | 0.207153i | ||||
\(727\) | 0.281315 | + | 0.162417i | 0.0104334 | + | 0.00602373i | 0.505208 | − | 0.862998i | \(-0.331416\pi\) |
−0.494774 | + | 0.869022i | \(0.664749\pi\) | |||||||
\(728\) | 1.41949 | − | 0.408909i | 0.0526099 | − | 0.0151552i | ||||
\(729\) | 1.04278 | − | 26.9799i | 0.0386214 | − | 0.999254i | ||||
\(730\) | −11.0462 | − | 11.0462i | −0.408837 | − | 0.408837i | ||||
\(731\) | 8.89928 | + | 5.13800i | 0.329152 | + | 0.190036i | ||||
\(732\) | 6.35570 | + | 24.3457i | 0.234913 | + | 0.899844i | ||||
\(733\) | −1.07569 | + | 4.01454i | −0.0397316 | + | 0.148280i | −0.982942 | − | 0.183915i | \(-0.941123\pi\) |
0.943211 | + | 0.332196i | \(0.107789\pi\) | |||||||
\(734\) | 53.3406 | + | 14.2926i | 1.96884 | + | 0.527548i | ||||
\(735\) | −24.2108 | + | 13.7710i | −0.893029 | + | 0.507953i | ||||
\(736\) | 18.0447 | + | 67.3436i | 0.665135 | + | 2.48232i | ||||
\(737\) | 8.49129i | 0.312781i | ||||||||
\(738\) | 2.43579 | + | 4.34724i | 0.0896625 | + | 0.160024i | ||||
\(739\) | 25.4904 | − | 25.4904i | 0.937681 | − | 0.937681i | −0.0604883 | − | 0.998169i | \(-0.519266\pi\) |
0.998169 | + | 0.0604883i | \(0.0192658\pi\) | |||||||
\(740\) | −24.3893 | + | 42.2434i | −0.896567 | + | 1.55290i | ||||
\(741\) | 4.37950 | + | 15.5795i | 0.160885 | + | 0.572326i | ||||
\(742\) | −1.52716 | − | 2.64511i | −0.0560636 | − | 0.0971051i | ||||
\(743\) | −4.28177 | − | 1.14730i | −0.157083 | − | 0.0420902i | 0.179421 | − | 0.983772i | \(-0.442578\pi\) |
−0.336503 | + | 0.941682i | \(0.609244\pi\) | |||||||
\(744\) | 5.45636 | − | 5.38655i | 0.200040 | − | 0.197480i | ||||
\(745\) | −23.7285 | − | 13.6996i | −0.869345 | − | 0.501916i | ||||
\(746\) | 54.3967 | − | 54.3967i | 1.99160 | − | 1.99160i | ||||
\(747\) | 11.0000 | + | 11.2870i | 0.402469 | + | 0.412970i | ||||
\(748\) | 7.58822 | − | 7.58822i | 0.277453 | − | 0.277453i | ||||
\(749\) | −8.14276 | + | 2.18184i | −0.297530 | + | 0.0797229i | ||||
\(750\) | 9.06150 | − | 32.9675i | 0.330879 | − | 1.20380i | ||||
\(751\) | 6.75231 | − | 3.89845i | 0.246395 | − | 0.142256i | −0.371717 | − | 0.928346i | \(-0.621231\pi\) |
0.618113 | + | 0.786090i | \(0.287898\pi\) | |||||||
\(752\) | 11.2791 | − | 42.0940i | 0.411305 | − | 1.53501i | ||||
\(753\) | 14.8350 | − | 3.87283i | 0.540618 | − | 0.141134i | ||||
\(754\) | −4.08779 | + | 2.46299i | −0.148869 | + | 0.0896967i | ||||
\(755\) | 27.7994i | 1.01172i | ||||||||
\(756\) | 8.49267 | + | 0.164061i | 0.308876 | + | 0.00596684i | ||||
\(757\) | 29.7513 | 1.08133 | 0.540664 | − | 0.841238i | \(-0.318173\pi\) | ||||
0.540664 | + | 0.841238i | \(0.318173\pi\) | |||||||
\(758\) | −12.4218 | + | 21.5153i | −0.451181 | + | 0.781469i | ||||
\(759\) | 36.1310 | + | 21.1716i | 1.31147 | + | 0.768480i | ||||
\(760\) | 0.948794 | − | 3.54095i | 0.0344164 | − | 0.128444i | ||||
\(761\) | −2.68682 | + | 10.0273i | −0.0973970 | + | 0.363491i | −0.997372 | − | 0.0724510i | \(-0.976918\pi\) |
0.899975 | + | 0.435942i | \(0.143585\pi\) | |||||||
\(762\) | −32.9858 | + | 18.7622i | −1.19495 | + | 0.679684i | ||||
\(763\) | −1.43548 | + | 2.48633i | −0.0519680 | + | 0.0900112i | ||||
\(764\) | −11.8947 | −0.430335 | ||||||||
\(765\) | 12.0841 | − | 3.07171i | 0.436902 | − | 0.111058i | ||||
\(766\) | 58.7941i | 2.12432i | ||||||||
\(767\) | 10.6536 | − | 6.41905i | 0.384680 | − | 0.231778i | ||||
\(768\) | −13.0460 | − | 13.2150i | −0.470755 | − | 0.476857i | ||||
\(769\) | 13.3616 | − | 49.8660i | 0.481830 | − | 1.79822i | −0.112098 | − | 0.993697i | \(-0.535757\pi\) |
0.593928 | − | 0.804518i | \(-0.297576\pi\) | |||||||
\(770\) | 8.97645 | − | 5.18255i | 0.323489 | − | 0.186766i | ||||
\(771\) | −5.51476 | − | 5.58623i | −0.198609 | − | 0.201183i | ||||
\(772\) | −16.7940 | + | 4.49995i | −0.604431 | + | 0.161957i | ||||
\(773\) | 18.1418 | − | 18.1418i | 0.652516 | − | 0.652516i | −0.301082 | − | 0.953598i | \(-0.597348\pi\) |
0.953598 | + | 0.301082i | \(0.0973478\pi\) | |||||||
\(774\) | 9.37142 | + | 36.8672i | 0.336849 | + | 1.32516i | ||||
\(775\) | 6.31579 | − | 6.31579i | 0.226870 | − | 0.226870i | ||||
\(776\) | 8.31794 | + | 4.80237i | 0.298597 | + | 0.172395i | ||||
\(777\) | 10.3673 | + | 2.84957i | 0.371924 | + | 0.102228i | ||||
\(778\) | 0.732186 | + | 0.196189i | 0.0262501 | + | 0.00703370i | ||||
\(779\) | −1.04082 | − | 1.80275i | −0.0372912 | − | 0.0645902i | ||||
\(780\) | 34.1567 | + | 8.70578i | 1.22301 | + | 0.311717i | ||||
\(781\) | −20.6625 | + | 35.7885i | −0.739362 | + | 1.28061i | ||||
\(782\) | −21.0542 | + | 21.0542i | −0.752897 | + | 0.752897i | ||||
\(783\) | −3.22884 | + | 0.798656i | −0.115389 | + | 0.0285416i | ||||
\(784\) | 21.8657i | 0.780918i | ||||||||
\(785\) | 3.71431 | + | 13.8620i | 0.132569 | + | 0.494756i | ||||
\(786\) | 4.71744 | + | 2.76427i | 0.168266 | + | 0.0985981i | ||||
\(787\) | 31.1725 | + | 8.35264i | 1.11118 | + | 0.297740i | 0.767309 | − | 0.641278i | \(-0.221595\pi\) |
0.343870 | + | 0.939017i | \(0.388262\pi\) | |||||||
\(788\) | 4.77488 | − | 17.8201i | 0.170098 | − | 0.634815i | ||||
\(789\) | −36.8935 | − | 10.1406i | −1.31344 | − | 0.361015i | ||||
\(790\) | −44.5838 | − | 25.7405i | −1.58622 | − | 0.915805i | ||||
\(791\) | 4.38964 | + | 4.38964i | 0.156077 | + | 0.156077i | ||||
\(792\) | 4.81447 | + | 0.0619995i | 0.171075 | + | 0.00220306i | ||||
\(793\) | 22.1155 | − | 6.37076i | 0.785346 | − | 0.226232i | ||||
\(794\) | −46.2397 | − | 26.6965i | −1.64099 | − | 0.947424i | ||||
\(795\) | 0.0568739 | − | 8.83327i | 0.00201711 | − | 0.313284i | ||||
\(796\) | −14.1020 | − | 24.4254i | −0.499833 | − | 0.865736i | ||||
\(797\) | 12.3872 | + | 21.4552i | 0.438776 | + | 0.759982i | 0.997595 | − | 0.0693076i | \(-0.0220790\pi\) |
−0.558820 | + | 0.829289i | \(0.688746\pi\) | |||||||
\(798\) | −6.66652 | − | 0.0429230i | −0.235992 | − | 0.00151946i | ||||
\(799\) | 20.9182 | − | 5.60501i | 0.740033 | − | 0.198291i | ||||
\(800\) | 6.60313 | + | 6.60313i | 0.233456 | + | 0.233456i | ||||
\(801\) | 23.1649 | + | 6.52786i | 0.818493 | + | 0.230651i | ||||
\(802\) | 28.0950 | 0.992068 | ||||||||
\(803\) | −4.28558 | + | 7.42284i | −0.151235 | + | 0.261946i | ||||
\(804\) | −5.88132 | − | 10.3399i | −0.207418 | − | 0.364661i | ||||
\(805\) | −13.2563 | + | 7.65355i | −0.467225 | + | 0.269752i | ||||
\(806\) | −41.6712 | − | 40.1432i | −1.46781 | − | 1.41398i | ||||
\(807\) | −6.81318 | − | 26.0981i | −0.239835 | − | 0.918697i | ||||
\(808\) | 6.21096 | − | 1.66422i | 0.218501 | − | 0.0585472i | ||||
\(809\) | 30.3153i | 1.06583i | 0.846169 | + | 0.532914i | \(0.178903\pi\) | ||||
−0.846169 | + | 0.532914i | \(0.821097\pi\) | |||||||
\(810\) | 39.3642 | + | 24.0994i | 1.38312 | + | 0.846765i | ||||
\(811\) | 18.5539 | + | 18.5539i | 0.651515 | + | 0.651515i | 0.953358 | − | 0.301843i | \(-0.0976018\pi\) |
−0.301843 | + | 0.953358i | \(0.597602\pi\) | |||||||
\(812\) | −0.270832 | − | 1.01076i | −0.00950432 | − | 0.0354706i | ||||
\(813\) | 16.2090 | − | 27.6619i | 0.568474 | − | 0.970146i | ||||
\(814\) | 48.5696 | + | 13.0142i | 1.70236 | + | 0.456147i | ||||
\(815\) | 24.9647 | − | 14.4134i | 0.874474 | − | 0.504878i | ||||
\(816\) | 2.59416 | − | 9.43806i | 0.0908139 | − | 0.330398i | ||||
\(817\) | −4.11278 | − | 15.3491i | −0.143888 | − | 0.536997i | ||||
\(818\) | −9.68497 | −0.338627 | ||||||||
\(819\) | −0.0450397 | − | 7.76939i | −0.00157381 | − | 0.271485i | ||||
\(820\) | −4.53399 | −0.158334 | ||||||||
\(821\) | 12.4021 | + | 46.2851i | 0.432835 | + | 1.61536i | 0.746195 | + | 0.665727i | \(0.231878\pi\) |
−0.313361 | + | 0.949634i | \(0.601455\pi\) | |||||||
\(822\) | −15.8699 | − | 16.0756i | −0.553528 | − | 0.560702i | ||||
\(823\) | −37.6019 | + | 21.7095i | −1.31072 | + | 0.756744i | −0.982215 | − | 0.187759i | \(-0.939878\pi\) |
−0.328504 | + | 0.944503i | \(0.606544\pi\) | |||||||
\(824\) | −7.12704 | − | 1.90968i | −0.248282 | − | 0.0665270i | ||||
\(825\) | 5.60891 | + | 0.0361135i | 0.195277 | + | 0.00125731i | ||||
\(826\) | 1.32613 | + | 4.94920i | 0.0461421 | + | 0.172205i | ||||
\(827\) | −6.14109 | − | 6.14109i | −0.213547 | − | 0.213547i | 0.592226 | − | 0.805772i | \(-0.298249\pi\) |
−0.805772 | + | 0.592226i | \(0.798249\pi\) | |||||||
\(828\) | −58.6611 | − | 0.755422i | −2.03861 | − | 0.0262527i | ||||
\(829\) | − | 15.6829i | − | 0.544690i | −0.962200 | − | 0.272345i | \(-0.912201\pi\) | ||
0.962200 | − | 0.272345i | \(-0.0877992\pi\) | |||||||
\(830\) | −26.0241 | + | 6.97314i | −0.903310 | + | 0.242041i | ||||
\(831\) | 34.6153 | + | 9.51443i | 1.20079 | + | 0.330052i | ||||
\(832\) | 25.0986 | − | 26.0539i | 0.870136 | − | 0.903256i | ||||
\(833\) | −9.41018 | + | 5.43297i | −0.326043 | + | 0.188241i | ||||
\(834\) | −17.1326 | + | 29.2382i | −0.593255 | + | 1.01244i | ||||
\(835\) | −6.57479 | + | 11.3879i | −0.227530 | + | 0.394093i | ||||
\(836\) | −16.5947 | −0.573940 | ||||||||
\(837\) | −19.4849 | − | 35.3066i | −0.673498 | − | 1.22038i | ||||
\(838\) | −13.5127 | − | 13.5127i | −0.466789 | − | 0.466789i | ||||
\(839\) | 15.3834 | − | 4.12196i | 0.531092 | − | 0.142306i | 0.0166997 | − | 0.999861i | \(-0.494684\pi\) |
0.514393 | + | 0.857555i | \(0.328017\pi\) | |||||||
\(840\) | −0.889774 | + | 1.51847i | −0.0307001 | + | 0.0523922i | ||||
\(841\) | −14.2951 | − | 24.7599i | −0.492935 | − | 0.853789i | ||||
\(842\) | −3.33909 | − | 5.78347i | −0.115073 | − | 0.199312i | ||||
\(843\) | 3.43970 | − | 1.95649i | 0.118470 | − | 0.0673852i | ||||
\(844\) | −31.4624 | − | 18.1648i | −1.08298 | − | 0.625259i | ||||
\(845\) | 7.17599 | − | 31.4326i | 0.246862 | − | 1.08131i | ||||
\(846\) | 68.9042 | + | 40.9738i | 2.36898 | + | 1.40871i | ||||
\(847\) | 1.56566 | + | 1.56566i | 0.0537967 | + | 0.0537967i | ||||
\(848\) | −6.00549 | − | 3.46727i | −0.206229 | − | 0.119067i | ||||
\(849\) | −4.37262 | + | 4.31667i | −0.150068 | + | 0.148148i | ||||
\(850\) | −1.03220 | + | 3.85221i | −0.0354040 | + | 0.132130i | ||||
\(851\) | −71.7272 | − | 19.2192i | −2.45878 | − | 0.658827i | ||||
\(852\) | 0.372739 | − | 57.8914i | 0.0127698 | − | 1.98333i | ||||
\(853\) | −5.05120 | − | 18.8513i | −0.172950 | − | 0.645457i | −0.996892 | − | 0.0787829i | \(-0.974897\pi\) |
0.823942 | − | 0.566674i | \(-0.191770\pi\) | |||||||
\(854\) | 9.48089i | 0.324429i | ||||||||
\(855\) | −16.5722 | − | 9.85462i | −0.566756 | − | 0.337021i | ||||
\(856\) | 4.73350 | − | 4.73350i | 0.161788 | − | 0.161788i | ||||
\(857\) | 1.47448 | − | 2.55388i | 0.0503674 | − | 0.0872388i | −0.839743 | − | 0.542985i | \(-0.817294\pi\) |
0.890110 | + | 0.455746i | \(0.150627\pi\) | |||||||
\(858\) | −0.444577 | − | 36.3332i | −0.0151776 | − | 1.24039i | ||||
\(859\) | 1.70873 | + | 2.95961i | 0.0583012 | + | 0.100981i | 0.893703 | − | 0.448659i | \(-0.148098\pi\) |
−0.835402 | + | 0.549640i | \(0.814765\pi\) | |||||||
\(860\) | −33.4317 | − | 8.95800i | −1.14001 | − | 0.305465i | ||||
\(861\) | 0.252439 | + | 0.966975i | 0.00860308 | + | 0.0329544i | ||||
\(862\) | −11.5546 | − | 6.67106i | −0.393552 | − | 0.227217i | ||||
\(863\) | 19.8300 | − | 19.8300i | 0.675023 | − | 0.675023i | −0.283847 | − | 0.958870i | \(-0.591611\pi\) |
0.958870 | + | 0.283847i | \(0.0916108\pi\) | |||||||
\(864\) | 36.9129 | − | 20.3714i | 1.25580 | − | 0.693049i | ||||
\(865\) | −40.4794 | + | 40.4794i | −1.37634 | + | 1.37634i | ||||
\(866\) | 43.8895 | − | 11.7602i | 1.49143 | − | 0.399627i | ||||
\(867\) | −23.7837 | + | 6.20897i | −0.807736 | + | 0.210868i | ||||
\(868\) | 10.9871 | − | 6.34339i | 0.372926 | − | 0.215309i | ||||
\(869\) | −7.31064 | + | 27.2837i | −0.247996 | + | 0.925535i | ||||
\(870\) | 1.50695 | − | 5.48258i | 0.0510905 | − | 0.185877i | ||||
\(871\) | −9.31965 | + | 5.61531i | −0.315784 | + | 0.190267i | ||||
\(872\) | − | 2.27981i | − | 0.0772040i | ||||||
\(873\) | 36.1777 | − | 35.2578i | 1.22443 | − | 1.19330i | ||||
\(874\) | 46.0435 | 1.55745 | ||||||||
\(875\) | 3.42847 | − | 5.93829i | 0.115903 | − | 0.200751i | ||||
\(876\) | 0.0773094 | − | 12.0072i | 0.00261204 | − | 0.405685i | ||||
\(877\) | 2.56483 | − | 9.57209i | 0.0866082 | − | 0.323226i | −0.909006 | − | 0.416784i | \(-0.863157\pi\) |
0.995614 | + | 0.0935575i | \(0.0298239\pi\) | |||||||
\(878\) | 16.2399 | − | 60.6083i | 0.548071 | − | 2.04543i | ||||
\(879\) | 0.200202 | − | 31.0941i | 0.00675265 | − | 1.04878i | ||||
\(880\) | 11.7665 | − | 20.3802i | 0.396650 | − | 0.687017i | ||||
\(881\) | −26.6224 | −0.896932 | −0.448466 | − | 0.893800i | \(-0.648029\pi\) | ||||
−0.448466 | + | 0.893800i | \(0.648029\pi\) | |||||||
\(882\) | −38.7155 | − | 10.9100i | −1.30362 | − | 0.367359i | ||||
\(883\) | 31.1762i | 1.04916i | 0.851361 | + | 0.524581i | \(0.175778\pi\) | ||||
−0.851361 | + | 0.524581i | \(0.824222\pi\) | |||||||
\(884\) | 13.3466 | + | 3.31038i | 0.448894 | + | 0.111340i | ||||
\(885\) | −3.92742 | + | 14.2887i | −0.132019 | + | 0.480310i | ||||
\(886\) | 0.162852 | − | 0.607770i | 0.00547110 | − | 0.0204184i | ||||
\(887\) | −42.4623 | + | 24.5156i | −1.42574 | + | 0.823154i | −0.996781 | − | 0.0801677i | \(-0.974454\pi\) |
−0.428963 | + | 0.903322i | \(0.641121\pi\) | |||||||
\(888\) | −8.26100 | + | 2.15662i | −0.277221 | + | 0.0723714i | ||||
\(889\) | −7.35137 | + | 1.96979i | −0.246557 | + | 0.0660647i | ||||
\(890\) | −29.0916 | + | 29.0916i | −0.975154 | + | 0.975154i | ||||
\(891\) | 7.18211 | − | 24.2844i | 0.240610 | − | 0.813557i | ||||
\(892\) | 23.3504 | − | 23.3504i | 0.781828 | − | 0.781828i | ||||
\(893\) | −29.0019 | − | 16.7442i | −0.970510 | − | 0.560324i | ||||
\(894\) | −9.99461 | − | 38.2847i | −0.334270 | − | 1.28043i | ||||
\(895\) | −0.115706 | − | 0.0310033i | −0.00386762 | − | 0.00103633i | ||||
\(896\) | 1.62324 | + | 2.81153i | 0.0542286 | + | 0.0939266i | ||||
\(897\) | 0.656548 | + | 53.6565i | 0.0219215 | + | 1.79154i | ||||
\(898\) | −4.16359 | + | 7.21155i | −0.138941 | + | 0.240653i | ||||
\(899\) | −3.51279 | + | 3.51279i | −0.117158 | + | 0.117158i | ||||
\(900\) | −6.85503 | + | 3.84092i | −0.228501 | + | 0.128031i | ||||
\(901\) | − | 3.44605i | − | 0.114805i | ||||||
\(902\) | 1.20968 | + | 4.51457i | 0.0402778 | + | 0.150319i | ||||
\(903\) | −0.0491189 | + | 7.62881i | −0.00163457 | + | 0.253871i | ||||
\(904\) | −4.76164 | − | 1.27588i | −0.158370 | − | 0.0424351i | ||||
\(905\) | −5.90260 | + | 22.0288i | −0.196209 | + | 0.732263i | ||||
\(906\) | −28.5694 | + | 28.2039i | −0.949156 | + | 0.937011i | ||||
\(907\) | 25.2502 | + | 14.5782i | 0.838421 | + | 0.484062i | 0.856727 | − | 0.515770i | \(-0.172494\pi\) |
−0.0183065 | + | 0.999832i | \(0.505827\pi\) | |||||||
\(908\) | 14.6610 | + | 14.6610i | 0.486544 | + | 0.486544i | ||||
\(909\) | 0.435480 | − | 33.8166i | 0.0144440 | − | 1.12162i | ||||
\(910\) | 11.6243 | + | 6.42490i | 0.385341 | + | 0.212983i | ||||
\(911\) | −14.0382 | − | 8.10498i | −0.465107 | − | 0.268530i | 0.249082 | − | 0.968482i | \(-0.419871\pi\) |
−0.714189 | + | 0.699953i | \(0.753204\pi\) | |||||||
\(912\) | −13.1567 | + | 7.48347i | −0.435661 | + | 0.247803i | ||||
\(913\) | 7.39119 | + | 12.8019i | 0.244613 | + | 0.423682i | ||||
\(914\) | 4.76905 | + | 8.26024i | 0.157746 | + | 0.273224i | ||||
\(915\) | −13.8626 | + | 23.6576i | −0.458282 | + | 0.782096i | ||||
\(916\) | 16.2266 | − | 4.34791i | 0.536143 | − | 0.143659i | ||||
\(917\) | 0.775385 | + | 0.775385i | 0.0256055 | + | 0.0256055i | ||||
\(918\) | 15.4167 | + | 9.30241i | 0.508827 | + | 0.307025i | ||||
\(919\) | 13.6670 | 0.450832 | 0.225416 | − | 0.974263i | \(-0.427626\pi\) | ||||
0.225416 | + | 0.974263i | \(0.427626\pi\) | |||||||
\(920\) | 6.07761 | − | 10.5267i | 0.200373 | − | 0.347056i | ||||
\(921\) | −5.03781 | + | 8.59743i | −0.166001 | + | 0.283295i | ||||
\(922\) | −46.6758 | + | 26.9483i | −1.53718 | + | 0.887494i | ||||
\(923\) | −52.9439 | + | 0.988791i | −1.74267 | + | 0.0325465i | ||||
\(924\) | 7.68213 | + | 2.11153i | 0.252723 | + | 0.0694641i | ||||
\(925\) | −9.60718 | + | 2.57424i | −0.315882 | + | 0.0846403i | ||||
\(926\) | − | 21.9355i | − | 0.720844i | ||||||
\(927\) | −19.8349 | + | 33.3556i | −0.651463 | + | 1.09554i | ||||
\(928\) | −3.67261 | − | 3.67261i | −0.120559 | − | 0.120559i | ||||
\(929\) | 5.23289 | + | 19.5294i | 0.171686 | + | 0.640739i | 0.997092 | + | 0.0762010i | \(0.0242791\pi\) |
−0.825407 | + | 0.564538i | \(0.809054\pi\) | |||||||
\(930\) | 68.9350 | + | 0.443845i | 2.26047 | + | 0.0145542i | ||||
\(931\) | 16.2303 | + | 4.34889i | 0.531926 | + | 0.142529i | ||||
\(932\) | 44.6938 | − | 25.8040i | 1.46399 | − | 0.845237i | ||||
\(933\) | 3.38114 | + | 3.42497i | 0.110694 | + | 0.112128i | ||||
\(934\) | −8.70188 | − | 32.4759i | −0.284734 | − | 1.06264i | ||||
\(935\) | 11.6945 | 0.382451 | ||||||||
\(936\) | 3.11577 | + | 5.32514i | 0.101842 | + | 0.174058i | ||||
\(937\) | −10.3939 | −0.339554 | −0.169777 | − | 0.985483i | \(-0.554305\pi\) | ||||
−0.169777 | + | 0.985483i | \(0.554305\pi\) | |||||||
\(938\) | −1.16009 | − | 4.32950i | −0.0378781 | − | 0.141363i | ||||
\(939\) | −7.75980 | + | 28.2316i | −0.253231 | + | 0.921304i | ||||
\(940\) | −63.1687 | + | 36.4705i | −2.06034 | + | 1.18953i | ||||
\(941\) | −41.3297 | − | 11.0743i | −1.34731 | − | 0.361011i | −0.488169 | − | 0.872749i | \(-0.662335\pi\) |
−0.859141 | + | 0.511738i | \(0.829002\pi\) | |||||||
\(942\) | −10.4776 | + | 17.8809i | −0.341379 | + | 0.582590i | ||||
\(943\) | −1.78644 | − | 6.66709i | −0.0581745 | − | 0.217110i | ||||
\(944\) | 8.22584 | + | 8.22584i | 0.267728 | + | 0.267728i | ||||
\(945\) | 6.41778 | + | 6.67062i | 0.208770 | + | 0.216995i | ||||
\(946\) | 35.6786i | 1.16001i | ||||||||
\(947\) | −36.3664 | + | 9.74435i | −1.18175 | + | 0.316649i | −0.795620 | − | 0.605796i | \(-0.792855\pi\) |
−0.386129 | + | 0.922445i | \(0.626188\pi\) | |||||||
\(948\) | −9.99524 | − | 38.2871i | −0.324630 | − | 1.24351i | ||||
\(949\) | −10.9810 | + | 0.205084i | −0.356459 | + | 0.00665730i | ||||
\(950\) | 5.34086 | − | 3.08355i | 0.173280 | − | 0.100044i | ||||
\(951\) | −6.90499 | − | 12.1396i | −0.223910 | − | 0.393655i | ||||
\(952\) | −0.343292 | + | 0.594598i | −0.0111261 | + | 0.0192710i | ||||
\(953\) | 50.8787 | 1.64812 | 0.824062 | − | 0.566500i | \(-0.191703\pi\) | ||||
0.824062 | + | 0.566500i | \(0.191703\pi\) | |||||||
\(954\) | 9.13564 | − | 8.90334i | 0.295777 | − | 0.288256i | ||||
\(955\) | −9.16569 | − | 9.16569i | −0.296595 | − | 0.296595i | ||||
\(956\) | −22.8520 | + | 6.12318i | −0.739087 | + | 0.198038i | ||||
\(957\) | −3.11963 | − | 0.0200861i | −0.100843 | − | 0.000649290i | ||||
\(958\) | 22.9547 | + | 39.7587i | 0.741632 | + | 1.28454i | ||||
\(959\) | −2.26519 | − | 3.92342i | −0.0731468 | − | 0.126694i | ||||
\(960\) | −0.277503 | + | 43.0999i | −0.00895637 | + | 1.39104i | ||||
\(961\) | −25.3143 | − | 14.6152i | −0.816591 | − | 0.471459i | ||||
\(962\) | 17.8354 | + | 61.9140i | 0.575036 | + | 1.99619i | ||||
\(963\) | −17.2102 | − | 30.7156i | −0.554590 | − | 0.989797i | ||||
\(964\) | −17.4525 | − | 17.4525i | −0.562106 | − | 0.562106i | ||||
\(965\) | −16.4085 | − | 9.47346i | −0.528209 | − | 0.304961i | ||||
\(966\) | −21.3148 | − | 5.85862i | −0.685791 | − | 0.188498i | ||||
\(967\) | −5.96423 | + | 22.2588i | −0.191797 | + | 0.715795i | 0.801276 | + | 0.598295i | \(0.204155\pi\) |
−0.993073 | + | 0.117500i | \(0.962512\pi\) | |||||||
\(968\) | −1.69834 | − | 0.455070i | −0.0545869 | − | 0.0146265i | ||||
\(969\) | −6.48964 | − | 3.80272i | −0.208477 | − | 0.122161i | ||||
\(970\) | 22.3507 | + | 83.4138i | 0.717636 | + | 2.67825i | ||||
\(971\) | − | 27.2297i | − | 0.873844i | −0.899499 | − | 0.436922i | \(-0.856069\pi\) | ||
0.899499 | − | 0.436922i | \(-0.143931\pi\) | |||||||
\(972\) | 8.07435 | + | 34.5458i | 0.258985 | + | 1.10806i | ||||
\(973\) | −4.80576 | + | 4.80576i | −0.154065 | + | 0.154065i | ||||
\(974\) | 20.5453 | − | 35.5855i | 0.658313 | − | 1.14023i | ||||
\(975\) | 3.66955 | + | 6.17997i | 0.117520 | + | 0.197917i | ||||
\(976\) | 10.7628 | + | 18.6416i | 0.344507 | + | 0.596704i | ||||
\(977\) | 48.5116 | + | 12.9986i | 1.55202 | + | 0.415864i | 0.930128 | − | 0.367236i | \(-0.119696\pi\) |
0.621896 | + | 0.783100i | \(0.286363\pi\) | |||||||
\(978\) | 40.1405 | + | 11.0331i | 1.28355 | + | 0.352799i | ||||
\(979\) | 19.5491 | + | 11.2867i | 0.624791 | + | 0.360723i | ||||
\(980\) | 25.8787 | − | 25.8787i | 0.826666 | − | 0.826666i | ||||
\(981\) | −11.5413 | − | 3.25233i | −0.368485 | − | 0.103839i | ||||
\(982\) | 17.9811 | − | 17.9811i | 0.573801 | − | 0.573801i | ||||
\(983\) | −45.0386 | + | 12.0681i | −1.43651 | + | 0.384911i | −0.891310 | − | 0.453395i | \(-0.850213\pi\) |
−0.545199 | + | 0.838306i | \(0.683546\pi\) | |||||||
\(984\) | −0.557535 | − | 0.564761i | −0.0177736 | − | 0.0180039i | ||||
\(985\) | 17.4110 | − | 10.0522i | 0.554761 | − | 0.320291i | ||||
\(986\) | 0.574099 | − | 2.14257i | 0.0182830 | − | 0.0682332i | ||||
\(987\) | 11.2952 | + | 11.4416i | 0.359529 | + | 0.364189i | ||||
\(988\) | −10.9741 | − | 18.2136i | −0.349133 | − | 0.579452i | ||||
\(989\) | − | 52.6898i | − | 1.67544i | ||||||
\(990\) | 30.2144 | + | 31.0027i | 0.960276 | + | 0.985331i | ||||
\(991\) | −6.38484 | −0.202821 | −0.101411 | − | 0.994845i | \(-0.532336\pi\) | ||||
−0.101411 | + | 0.994845i | \(0.532336\pi\) | |||||||
\(992\) | 31.4853 | − | 54.5342i | 0.999660 | − | 1.73146i | ||||
\(993\) | −28.2380 | + | 16.0617i | −0.896106 | + | 0.509703i | ||||
\(994\) | 5.64584 | − | 21.0706i | 0.179075 | − | 0.668318i | ||||
\(995\) | 7.95489 | − | 29.6881i | 0.252187 | − | 0.941175i | ||||
\(996\) | −17.8673 | − | 10.4697i | −0.566147 | − | 0.331744i | ||||
\(997\) | 4.40279 | − | 7.62585i | 0.139438 | − | 0.241513i | −0.787846 | − | 0.615872i | \(-0.788804\pi\) |
0.927284 | + | 0.374359i | \(0.122137\pi\) | |||||||
\(998\) | 22.5926 | 0.715156 | ||||||||
\(999\) | −0.867319 | + | 44.8971i | −0.0274408 | + | 1.42048i |
(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 | 117.2.z.b.47.2 | yes | 44 | |
3.2 | odd | 2 | 351.2.bc.b.8.10 | 44 | |||
9.4 | even | 3 | 351.2.bc.b.125.10 | 44 | |||
9.5 | odd | 6 | inner | 117.2.z.b.86.2 | yes | 44 | |
13.5 | odd | 4 | inner | 117.2.z.b.83.2 | yes | 44 | |
39.5 | even | 4 | 351.2.bc.b.278.10 | 44 | |||
117.5 | even | 12 | inner | 117.2.z.b.5.2 | ✓ | 44 | |
117.31 | odd | 12 | 351.2.bc.b.44.10 | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
117.2.z.b.5.2 | ✓ | 44 | 117.5 | even | 12 | inner | |
117.2.z.b.47.2 | yes | 44 | 1.1 | even | 1 | trivial | |
117.2.z.b.83.2 | yes | 44 | 13.5 | odd | 4 | inner | |
117.2.z.b.86.2 | yes | 44 | 9.5 | odd | 6 | inner | |
351.2.bc.b.8.10 | 44 | 3.2 | odd | 2 | |||
351.2.bc.b.44.10 | 44 | 117.31 | odd | 12 | |||
351.2.bc.b.125.10 | 44 | 9.4 | even | 3 | |||
351.2.bc.b.278.10 | 44 | 39.5 | even | 4 |