Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(7,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.e (of order \(29\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 205.1 | ||
Character | \(\chi\) | \(=\) | 354.205 |
Dual form | 354.2.e.b.19.1 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{10}{29}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.468408 | − | 0.883512i | −0.331215 | − | 0.624737i | ||||
\(3\) | 0.725995 | + | 0.687699i | 0.419154 | + | 0.397043i | ||||
\(4\) | −0.561187 | + | 0.827689i | −0.280594 | + | 0.413844i | ||||
\(5\) | −2.36756 | − | 0.521140i | −1.05881 | − | 0.233061i | −0.348757 | − | 0.937213i | \(-0.613396\pi\) |
−0.710049 | + | 0.704152i | \(0.751327\pi\) | |||||||
\(6\) | 0.267528 | − | 0.963550i | 0.109218 | − | 0.393368i | ||||
\(7\) | 2.60217 | + | 1.97812i | 0.983527 | + | 0.747658i | 0.967671 | − | 0.252216i | \(-0.0811595\pi\) |
0.0158562 | + | 0.999874i | \(0.494953\pi\) | |||||||
\(8\) | 0.994138 | + | 0.108119i | 0.351481 | + | 0.0382258i | ||||
\(9\) | 0.0541389 | + | 0.998533i | 0.0180463 | + | 0.332844i | ||||
\(10\) | 0.648553 | + | 2.33588i | 0.205090 | + | 0.738669i | ||||
\(11\) | −0.927348 | + | 2.32747i | −0.279606 | + | 0.701758i | 0.720361 | + | 0.693600i | \(0.243976\pi\) |
−0.999967 | + | 0.00815855i | \(0.997403\pi\) | |||||||
\(12\) | −0.976621 | + | 0.214970i | −0.281926 | + | 0.0620566i | ||||
\(13\) | −0.131941 | + | 2.43350i | −0.0365937 | + | 0.674932i | 0.921483 | + | 0.388419i | \(0.126979\pi\) |
−0.958077 | + | 0.286512i | \(0.907504\pi\) | |||||||
\(14\) | 0.528812 | − | 3.22561i | 0.141331 | − | 0.862081i | ||||
\(15\) | −1.36045 | − | 2.00652i | −0.351267 | − | 0.518081i | ||||
\(16\) | −0.370138 | − | 0.928977i | −0.0925345 | − | 0.232244i | ||||
\(17\) | −0.651026 | + | 0.494897i | −0.157897 | + | 0.120030i | −0.681139 | − | 0.732154i | \(-0.738515\pi\) |
0.523243 | + | 0.852184i | \(0.324722\pi\) | |||||||
\(18\) | 0.856857 | − | 0.515554i | 0.201963 | − | 0.121517i | ||||
\(19\) | 5.97215 | + | 2.01225i | 1.37011 | + | 0.461642i | 0.905677 | − | 0.423968i | \(-0.139363\pi\) |
0.464428 | + | 0.885611i | \(0.346260\pi\) | |||||||
\(20\) | 1.75999 | − | 1.66715i | 0.393545 | − | 0.372786i | ||||
\(21\) | 0.528812 | + | 3.22561i | 0.115396 | + | 0.703887i | ||||
\(22\) | 2.49072 | − | 0.270883i | 0.531024 | − | 0.0577524i | ||||
\(23\) | 4.88591 | + | 2.93976i | 1.01878 | + | 0.612982i | 0.923951 | − | 0.382512i | \(-0.124941\pi\) |
0.0948326 | + | 0.995493i | \(0.469768\pi\) | |||||||
\(24\) | 0.647386 | + | 0.762162i | 0.132147 | + | 0.155576i | ||||
\(25\) | 0.795892 | + | 0.368219i | 0.159178 | + | 0.0736438i | ||||
\(26\) | 2.21183 | − | 1.02330i | 0.433775 | − | 0.200686i | ||||
\(27\) | −0.647386 | + | 0.762162i | −0.124590 | + | 0.146678i | ||||
\(28\) | −3.09757 | + | 1.04369i | −0.585385 | + | 0.197239i | ||||
\(29\) | −0.464606 | + | 0.876340i | −0.0862752 | + | 0.162732i | −0.922895 | − | 0.385052i | \(-0.874184\pi\) |
0.836620 | + | 0.547784i | \(0.184528\pi\) | |||||||
\(30\) | −1.13553 | + | 2.14185i | −0.207319 | + | 0.391046i | ||||
\(31\) | −2.03429 | + | 0.685432i | −0.365369 | + | 0.123107i | −0.495997 | − | 0.868324i | \(-0.665197\pi\) |
0.130628 | + | 0.991431i | \(0.458301\pi\) | |||||||
\(32\) | −0.647386 | + | 0.762162i | −0.114443 | + | 0.134732i | ||||
\(33\) | −2.27385 | + | 1.05199i | −0.395826 | + | 0.183129i | ||||
\(34\) | 0.742193 | + | 0.343375i | 0.127285 | + | 0.0588884i | ||||
\(35\) | −5.12992 | − | 6.03941i | −0.867115 | − | 1.02085i | ||||
\(36\) | −0.856857 | − | 0.515554i | −0.142810 | − | 0.0859256i | ||||
\(37\) | 2.04670 | − | 0.222592i | 0.336476 | − | 0.0365940i | 0.0616785 | − | 0.998096i | \(-0.480355\pi\) |
0.274798 | + | 0.961502i | \(0.411389\pi\) | |||||||
\(38\) | −1.01956 | − | 6.21902i | −0.165394 | − | 1.00886i | ||||
\(39\) | −1.76931 | + | 1.67597i | −0.283316 | + | 0.268371i | ||||
\(40\) | −2.29734 | − | 0.774064i | −0.363241 | − | 0.122390i | ||||
\(41\) | −4.85172 | + | 2.91918i | −0.757712 | + | 0.455900i | −0.841278 | − | 0.540602i | \(-0.818196\pi\) |
0.0835666 | + | 0.996502i | \(0.473369\pi\) | |||||||
\(42\) | 2.60217 | − | 1.97812i | 0.401523 | − | 0.305230i | ||||
\(43\) | −0.124687 | − | 0.312940i | −0.0190145 | − | 0.0477229i | 0.919163 | − | 0.393877i | \(-0.128867\pi\) |
−0.938177 | + | 0.346155i | \(0.887487\pi\) | |||||||
\(44\) | −1.40600 | − | 2.07370i | −0.211963 | − | 0.312622i | ||||
\(45\) | 0.392198 | − | 2.39231i | 0.0584655 | − | 0.356624i | ||||
\(46\) | 0.308707 | − | 5.69377i | 0.0455164 | − | 0.839501i | ||||
\(47\) | 8.13554 | − | 1.79077i | 1.18669 | − | 0.261210i | 0.422598 | − | 0.906317i | \(-0.361118\pi\) |
0.764092 | + | 0.645107i | \(0.223187\pi\) | |||||||
\(48\) | 0.370138 | − | 0.928977i | 0.0534248 | − | 0.134086i | ||||
\(49\) | 0.985634 | + | 3.54993i | 0.140805 | + | 0.507133i | ||||
\(50\) | −0.0474767 | − | 0.875657i | −0.00671422 | − | 0.123837i | ||||
\(51\) | −0.812982 | − | 0.0884171i | −0.113840 | − | 0.0123809i | ||||
\(52\) | −1.94014 | − | 1.47485i | −0.269049 | − | 0.204526i | ||||
\(53\) | 2.07159 | − | 7.46120i | 0.284555 | − | 1.02488i | −0.673710 | − | 0.738995i | \(-0.735300\pi\) |
0.958266 | − | 0.285880i | \(-0.0922857\pi\) | |||||||
\(54\) | 0.976621 | + | 0.214970i | 0.132901 | + | 0.0292538i | ||||
\(55\) | 3.40849 | − | 5.02715i | 0.459601 | − | 0.677861i | ||||
\(56\) | 2.37304 | + | 2.24786i | 0.317111 | + | 0.300384i | ||||
\(57\) | 2.95193 | + | 5.56793i | 0.390993 | + | 0.737490i | ||||
\(58\) | 0.991883 | 0.130241 | ||||||||
\(59\) | −7.48869 | − | 1.70866i | −0.974944 | − | 0.222449i | ||||
\(60\) | 2.42424 | 0.312968 | ||||||||
\(61\) | −2.20129 | − | 4.15208i | −0.281846 | − | 0.531619i | 0.701655 | − | 0.712516i | \(-0.252445\pi\) |
−0.983502 | + | 0.180898i | \(0.942100\pi\) | |||||||
\(62\) | 1.55847 | + | 1.47626i | 0.197925 | + | 0.187485i | ||||
\(63\) | −1.83434 | + | 2.70544i | −0.231105 | + | 0.340854i | ||||
\(64\) | 0.976621 | + | 0.214970i | 0.122078 | + | 0.0268713i | ||||
\(65\) | 1.58057 | − | 5.69271i | 0.196046 | − | 0.706093i | ||||
\(66\) | 1.99454 | + | 1.51621i | 0.245511 | + | 0.186633i | ||||
\(67\) | −9.99052 | − | 1.08653i | −1.22054 | − | 0.132741i | −0.524918 | − | 0.851153i | \(-0.675904\pi\) |
−0.695618 | + | 0.718412i | \(0.744869\pi\) | |||||||
\(68\) | −0.0442735 | − | 0.816577i | −0.00536895 | − | 0.0990245i | ||||
\(69\) | 1.52548 | + | 5.49429i | 0.183646 | + | 0.661435i | ||||
\(70\) | −2.93299 | + | 7.36126i | −0.350560 | + | 0.879839i | ||||
\(71\) | 4.13333 | − | 0.909814i | 0.490536 | − | 0.107975i | 0.0371869 | − | 0.999308i | \(-0.488160\pi\) |
0.453349 | + | 0.891333i | \(0.350229\pi\) | |||||||
\(72\) | −0.0541389 | + | 0.998533i | −0.00638033 | + | 0.117678i | ||||
\(73\) | −0.656455 | + | 4.00420i | −0.0768323 | + | 0.468656i | 0.920185 | + | 0.391483i | \(0.128038\pi\) |
−0.997018 | + | 0.0771734i | \(0.975410\pi\) | |||||||
\(74\) | −1.15536 | − | 1.70402i | −0.134307 | − | 0.198089i | ||||
\(75\) | 0.324590 | + | 0.814660i | 0.0374804 | + | 0.0940688i | ||||
\(76\) | −5.01701 | + | 3.81383i | −0.575491 | + | 0.437477i | ||||
\(77\) | −7.01712 | + | 4.22206i | −0.799675 | + | 0.481149i | ||||
\(78\) | 2.30950 | + | 0.778162i | 0.261500 | + | 0.0881095i | ||||
\(79\) | 4.23142 | − | 4.00821i | 0.476072 | − | 0.450959i | −0.411648 | − | 0.911343i | \(-0.635047\pi\) |
0.887720 | + | 0.460384i | \(0.152288\pi\) | |||||||
\(80\) | 0.392198 | + | 2.39231i | 0.0438491 | + | 0.267468i | ||||
\(81\) | −0.994138 | + | 0.108119i | −0.110460 | + | 0.0120132i | ||||
\(82\) | 4.85172 | + | 2.91918i | 0.535783 | + | 0.322370i | ||||
\(83\) | −7.54360 | − | 8.88101i | −0.828017 | − | 0.974817i | 0.171930 | − | 0.985109i | \(-0.445000\pi\) |
−0.999947 | + | 0.0102919i | \(0.996724\pi\) | |||||||
\(84\) | −2.96657 | − | 1.37248i | −0.323679 | − | 0.149750i | ||||
\(85\) | 1.79926 | − | 0.832424i | 0.195157 | − | 0.0902891i | ||||
\(86\) | −0.218082 | + | 0.256746i | −0.0235164 | + | 0.0276856i | ||||
\(87\) | −0.939961 | + | 0.316710i | −0.100774 | + | 0.0339548i | ||||
\(88\) | −1.17356 | + | 2.21356i | −0.125101 | + | 0.235966i | ||||
\(89\) | 7.85479 | − | 14.8157i | 0.832606 | − | 1.57046i | 0.0113254 | − | 0.999936i | \(-0.496395\pi\) |
0.821280 | − | 0.570525i | \(-0.193260\pi\) | |||||||
\(90\) | −2.29734 | + | 0.774064i | −0.242161 | + | 0.0815935i | ||||
\(91\) | −5.15708 | + | 6.07138i | −0.540609 | + | 0.636454i | ||||
\(92\) | −5.17512 | + | 2.39426i | −0.539543 | + | 0.249619i | ||||
\(93\) | −1.94826 | − | 0.901359i | −0.202025 | − | 0.0934666i | ||||
\(94\) | −5.39292 | − | 6.34903i | −0.556237 | − | 0.654853i | ||||
\(95\) | −13.0908 | − | 7.87646i | −1.34309 | − | 0.808108i | ||||
\(96\) | −0.994138 | + | 0.108119i | −0.101464 | + | 0.0110349i | ||||
\(97\) | 2.14087 | + | 13.0587i | 0.217373 | + | 1.32592i | 0.839654 | + | 0.543121i | \(0.182758\pi\) |
−0.622281 | + | 0.782794i | \(0.713794\pi\) | |||||||
\(98\) | 2.67473 | − | 2.53364i | 0.270188 | − | 0.255936i | ||||
\(99\) | −2.37426 | − | 0.799982i | −0.238622 | − | 0.0804012i | ||||
\(100\) | −0.751415 | + | 0.452111i | −0.0751415 | + | 0.0452111i | ||||
\(101\) | −2.77197 | + | 2.10720i | −0.275822 | + | 0.209674i | −0.733935 | − | 0.679220i | \(-0.762318\pi\) |
0.458114 | + | 0.888894i | \(0.348525\pi\) | |||||||
\(102\) | 0.302690 | + | 0.759695i | 0.0299708 | + | 0.0752210i | ||||
\(103\) | −9.21059 | − | 13.5846i | −0.907547 | − | 1.33853i | −0.940756 | − | 0.339083i | \(-0.889883\pi\) |
0.0332096 | − | 0.999448i | \(-0.489427\pi\) | |||||||
\(104\) | −0.394275 | + | 2.40497i | −0.0386618 | + | 0.235827i | ||||
\(105\) | 0.428999 | − | 7.91243i | 0.0418661 | − | 0.772174i | ||||
\(106\) | −7.56241 | + | 1.66461i | −0.734527 | + | 0.161682i | ||||
\(107\) | −7.17189 | + | 18.0001i | −0.693332 | + | 1.74013i | −0.0211175 | + | 0.999777i | \(0.506722\pi\) |
−0.672215 | + | 0.740356i | \(0.734657\pi\) | |||||||
\(108\) | −0.267528 | − | 0.963550i | −0.0257429 | − | 0.0927176i | ||||
\(109\) | −0.125158 | − | 2.30840i | −0.0119880 | − | 0.221105i | −0.998389 | − | 0.0567464i | \(-0.981927\pi\) |
0.986401 | − | 0.164359i | \(-0.0525554\pi\) | |||||||
\(110\) | −6.03812 | − | 0.656685i | −0.575712 | − | 0.0626124i | ||||
\(111\) | 1.63897 | + | 1.24592i | 0.155565 | + | 0.118257i | ||||
\(112\) | 0.874463 | − | 3.14953i | 0.0826290 | − | 0.297603i | ||||
\(113\) | 6.69713 | + | 1.47415i | 0.630013 | + | 0.138676i | 0.518487 | − | 0.855085i | \(-0.326495\pi\) |
0.111525 | + | 0.993762i | \(0.464426\pi\) | |||||||
\(114\) | 3.53662 | − | 5.21613i | 0.331235 | − | 0.488535i | ||||
\(115\) | −10.0357 | − | 9.50630i | −0.935832 | − | 0.886467i | ||||
\(116\) | −0.464606 | − | 0.876340i | −0.0431376 | − | 0.0813662i | ||||
\(117\) | −2.43707 | −0.225308 | ||||||||
\(118\) | 1.99814 | + | 7.41670i | 0.183944 | + | 0.682762i | ||||
\(119\) | −2.67304 | −0.245037 | ||||||||
\(120\) | −1.13553 | − | 2.14185i | −0.103660 | − | 0.195523i | ||||
\(121\) | 3.42882 | + | 3.24795i | 0.311710 | + | 0.295268i | ||||
\(122\) | −2.63731 | + | 3.88973i | −0.238770 | + | 0.352160i | ||||
\(123\) | −5.52985 | − | 1.21721i | −0.498610 | − | 0.109752i | ||||
\(124\) | 0.574292 | − | 2.06841i | 0.0515730 | − | 0.185749i | ||||
\(125\) | 7.95718 | + | 6.04889i | 0.711711 | + | 0.541029i | ||||
\(126\) | 3.24951 | + | 0.353406i | 0.289490 | + | 0.0314839i | ||||
\(127\) | −0.901189 | − | 16.6215i | −0.0799676 | − | 1.47492i | −0.713204 | − | 0.700957i | \(-0.752757\pi\) |
0.633236 | − | 0.773959i | \(-0.281726\pi\) | |||||||
\(128\) | −0.267528 | − | 0.963550i | −0.0236464 | − | 0.0851666i | ||||
\(129\) | 0.124687 | − | 0.312940i | 0.0109780 | − | 0.0275528i | ||||
\(130\) | −5.76993 | + | 1.27006i | −0.506056 | + | 0.111391i | ||||
\(131\) | 0.306041 | − | 5.64460i | 0.0267389 | − | 0.493171i | −0.954238 | − | 0.299048i | \(-0.903331\pi\) |
0.980977 | − | 0.194123i | \(-0.0621861\pi\) | |||||||
\(132\) | 0.405330 | − | 2.47241i | 0.0352795 | − | 0.215195i | ||||
\(133\) | 11.5601 | + | 17.0498i | 1.00239 | + | 1.47841i | ||||
\(134\) | 3.71968 | + | 9.33568i | 0.321331 | + | 0.806480i | ||||
\(135\) | 1.92992 | − | 1.46709i | 0.166101 | − | 0.126267i | ||||
\(136\) | −0.700717 | + | 0.421608i | −0.0600860 | + | 0.0361525i | ||||
\(137\) | 15.9668 | + | 5.37983i | 1.36413 | + | 0.459630i | 0.903738 | − | 0.428085i | \(-0.140812\pi\) |
0.460394 | + | 0.887715i | \(0.347708\pi\) | |||||||
\(138\) | 4.13972 | − | 3.92135i | 0.352397 | − | 0.333808i | ||||
\(139\) | 1.48501 | + | 9.05818i | 0.125957 | + | 0.768305i | 0.971963 | + | 0.235132i | \(0.0755522\pi\) |
−0.846006 | + | 0.533173i | \(0.821000\pi\) | |||||||
\(140\) | 7.87760 | − | 0.856741i | 0.665779 | − | 0.0724078i | ||||
\(141\) | 7.13787 | + | 4.29471i | 0.601117 | + | 0.361680i | ||||
\(142\) | −2.73992 | − | 3.22568i | −0.229929 | − | 0.270693i | ||||
\(143\) | −5.54154 | − | 2.56379i | −0.463407 | − | 0.214395i | ||||
\(144\) | 0.907575 | − | 0.419889i | 0.0756313 | − | 0.0349908i | ||||
\(145\) | 1.55668 | − | 1.83267i | 0.129275 | − | 0.152195i | ||||
\(146\) | 3.84525 | − | 1.29562i | 0.318235 | − | 0.107226i | ||||
\(147\) | −1.72572 | + | 3.25506i | −0.142335 | + | 0.268472i | ||||
\(148\) | −0.964347 | + | 1.81895i | −0.0792688 | + | 0.149517i | ||||
\(149\) | 2.95545 | − | 0.995808i | 0.242120 | − | 0.0815797i | −0.195625 | − | 0.980679i | \(-0.562674\pi\) |
0.437745 | + | 0.899099i | \(0.355777\pi\) | |||||||
\(150\) | 0.567721 | − | 0.668373i | 0.0463542 | − | 0.0545724i | ||||
\(151\) | 17.4698 | − | 8.08237i | 1.42167 | − | 0.657734i | 0.449772 | − | 0.893143i | \(-0.351505\pi\) |
0.971896 | + | 0.235409i | \(0.0756430\pi\) | |||||||
\(152\) | 5.71958 | + | 2.64616i | 0.463919 | + | 0.214632i | ||||
\(153\) | −0.529417 | − | 0.623278i | −0.0428008 | − | 0.0503890i | ||||
\(154\) | 7.01712 | + | 4.22206i | 0.565456 | + | 0.340223i | ||||
\(155\) | 5.17351 | − | 0.562654i | 0.415547 | − | 0.0451934i | ||||
\(156\) | −0.394275 | − | 2.40497i | −0.0315672 | − | 0.192552i | ||||
\(157\) | 5.98797 | − | 5.67211i | 0.477892 | − | 0.452683i | −0.410438 | − | 0.911888i | \(-0.634624\pi\) |
0.888330 | + | 0.459205i | \(0.151866\pi\) | |||||||
\(158\) | −5.52334 | − | 1.86103i | −0.439413 | − | 0.148055i | ||||
\(159\) | 6.63503 | − | 3.99217i | 0.526192 | − | 0.316599i | ||||
\(160\) | 1.92992 | − | 1.46709i | 0.152574 | − | 0.115983i | ||||
\(161\) | 6.89879 | + | 17.3146i | 0.543700 | + | 1.36459i | ||||
\(162\) | 0.561187 | + | 0.827689i | 0.0440910 | + | 0.0650294i | ||||
\(163\) | 3.94801 | − | 24.0818i | 0.309232 | − | 1.88623i | −0.135833 | − | 0.990732i | \(-0.543371\pi\) |
0.445065 | − | 0.895498i | \(-0.353181\pi\) | |||||||
\(164\) | 0.306547 | − | 5.65393i | 0.0239373 | − | 0.441497i | ||||
\(165\) | 5.93172 | − | 1.30567i | 0.461784 | − | 0.101646i | ||||
\(166\) | −4.31299 | + | 10.8248i | −0.334753 | + | 0.840167i | ||||
\(167\) | 5.10707 | + | 18.3940i | 0.395197 | + | 1.42337i | 0.847162 | + | 0.531335i | \(0.178310\pi\) |
−0.451965 | + | 0.892036i | \(0.649277\pi\) | |||||||
\(168\) | 0.176962 | + | 3.26388i | 0.0136529 | + | 0.251814i | ||||
\(169\) | 7.01928 | + | 0.763393i | 0.539944 | + | 0.0587225i | ||||
\(170\) | −1.57824 | − | 1.19975i | −0.121046 | − | 0.0920166i | ||||
\(171\) | −1.68597 | + | 6.07233i | −0.128930 | + | 0.464363i | ||||
\(172\) | 0.328989 | + | 0.0724160i | 0.0250852 | + | 0.00552167i | ||||
\(173\) | 4.81286 | − | 7.09844i | 0.365915 | − | 0.539684i | −0.599509 | − | 0.800368i | \(-0.704638\pi\) |
0.965424 | + | 0.260683i | \(0.0839479\pi\) | |||||||
\(174\) | 0.720103 | + | 0.682117i | 0.0545908 | + | 0.0517112i | ||||
\(175\) | 1.34266 | + | 2.53253i | 0.101496 | + | 0.191442i | ||||
\(176\) | 2.50541 | 0.188852 | ||||||||
\(177\) | −4.26171 | − | 6.39045i | −0.320330 | − | 0.480336i | ||||
\(178\) | −16.7691 | −1.25690 | ||||||||
\(179\) | 10.2989 | + | 19.4259i | 0.769779 | + | 1.45196i | 0.888426 | + | 0.459020i | \(0.151800\pi\) |
−0.118647 | + | 0.992937i | \(0.537856\pi\) | |||||||
\(180\) | 1.75999 | + | 1.66715i | 0.131182 | + | 0.124262i | ||||
\(181\) | −7.73586 | + | 11.4095i | −0.575002 | + | 0.848064i | −0.998321 | − | 0.0579160i | \(-0.981554\pi\) |
0.423320 | + | 0.905980i | \(0.360865\pi\) | |||||||
\(182\) | 7.77976 | + | 1.71245i | 0.576674 | + | 0.126936i | ||||
\(183\) | 1.25725 | − | 4.52822i | 0.0929388 | − | 0.334735i | ||||
\(184\) | 4.53943 | + | 3.45078i | 0.334651 | + | 0.254395i | ||||
\(185\) | −4.96170 | − | 0.539618i | −0.364792 | − | 0.0396735i | ||||
\(186\) | 0.116218 | + | 2.14351i | 0.00852150 | + | 0.157170i | ||||
\(187\) | −0.548129 | − | 1.97418i | −0.0400832 | − | 0.144367i | ||||
\(188\) | −3.08336 | + | 7.73865i | −0.224877 | + | 0.564399i | ||||
\(189\) | −3.19225 | + | 0.702668i | −0.232202 | + | 0.0511116i | ||||
\(190\) | −0.827116 | + | 15.2553i | −0.0600053 | + | 1.10673i | ||||
\(191\) | −0.199387 | + | 1.21621i | −0.0144271 | + | 0.0880015i | −0.993059 | − | 0.117620i | \(-0.962473\pi\) |
0.978632 | + | 0.205622i | \(0.0659217\pi\) | |||||||
\(192\) | 0.561187 | + | 0.827689i | 0.0405002 | + | 0.0597333i | ||||
\(193\) | −7.91967 | − | 19.8769i | −0.570070 | − | 1.43077i | −0.877676 | − | 0.479254i | \(-0.840907\pi\) |
0.307606 | − | 0.951514i | \(-0.400472\pi\) | |||||||
\(194\) | 10.5348 | − | 8.00832i | 0.756352 | − | 0.574964i | ||||
\(195\) | 5.06236 | − | 3.04592i | 0.362523 | − | 0.218123i | ||||
\(196\) | −3.49137 | − | 1.17638i | −0.249383 | − | 0.0840270i | ||||
\(197\) | −2.99622 | + | 2.83817i | −0.213472 | + | 0.202211i | −0.786962 | − | 0.617001i | \(-0.788347\pi\) |
0.573491 | + | 0.819212i | \(0.305589\pi\) | |||||||
\(198\) | 0.405330 | + | 2.47241i | 0.0288056 | + | 0.175706i | ||||
\(199\) | 25.3953 | − | 2.76190i | 1.80022 | − | 0.195786i | 0.854213 | − | 0.519923i | \(-0.174039\pi\) |
0.946010 | + | 0.324137i | \(0.105074\pi\) | |||||||
\(200\) | 0.751415 | + | 0.452111i | 0.0531331 | + | 0.0319691i | ||||
\(201\) | −6.50586 | − | 7.65929i | −0.458888 | − | 0.540245i | ||||
\(202\) | 3.16015 | + | 1.46204i | 0.222347 | + | 0.102869i | ||||
\(203\) | −2.94249 | + | 1.36134i | −0.206522 | + | 0.0955473i | ||||
\(204\) | 0.529417 | − | 0.623278i | 0.0370666 | − | 0.0436382i | ||||
\(205\) | 13.0081 | − | 4.38293i | 0.908523 | − | 0.306117i | ||||
\(206\) | −7.68785 | + | 14.5008i | −0.535638 | + | 1.01032i | ||||
\(207\) | −2.67093 | + | 5.03790i | −0.185642 | + | 0.350158i | ||||
\(208\) | 2.30950 | − | 0.778162i | 0.160135 | − | 0.0539558i | ||||
\(209\) | −10.2217 | + | 12.0339i | −0.707051 | + | 0.832405i | ||||
\(210\) | −7.19167 | + | 3.32722i | −0.496273 | + | 0.229600i | ||||
\(211\) | −23.1539 | − | 10.7121i | −1.59398 | − | 0.737454i | −0.596124 | − | 0.802892i | \(-0.703293\pi\) |
−0.997857 | + | 0.0654385i | \(0.979155\pi\) | |||||||
\(212\) | 5.01300 | + | 5.90176i | 0.344295 | + | 0.405335i | ||||
\(213\) | 3.62645 | + | 2.18197i | 0.248481 | + | 0.149506i | ||||
\(214\) | 19.2627 | − | 2.09494i | 1.31677 | − | 0.143207i | ||||
\(215\) | 0.132118 | + | 0.805884i | 0.00901037 | + | 0.0549608i | ||||
\(216\) | −0.725995 | + | 0.687699i | −0.0493977 | + | 0.0467920i | ||||
\(217\) | −6.64943 | − | 2.24045i | −0.451392 | − | 0.152092i | ||||
\(218\) | −1.98088 | + | 1.19185i | −0.134162 | + | 0.0807225i | ||||
\(219\) | −3.23027 | + | 2.45559i | −0.218281 | + | 0.165933i | ||||
\(220\) | 2.24812 | + | 5.64234i | 0.151568 | + | 0.380407i | ||||
\(221\) | −1.11844 | − | 1.64957i | −0.0752341 | − | 0.110962i | ||||
\(222\) | 0.333072 | − | 2.03165i | 0.0223544 | − | 0.136356i | ||||
\(223\) | 0.955256 | − | 17.6187i | 0.0639687 | − | 1.17983i | −0.773663 | − | 0.633597i | \(-0.781578\pi\) |
0.837632 | − | 0.546235i | \(-0.183940\pi\) | |||||||
\(224\) | −3.19225 | + | 0.702668i | −0.213291 | + | 0.0469490i | ||||
\(225\) | −0.324590 | + | 0.814660i | −0.0216393 | + | 0.0543106i | ||||
\(226\) | −1.83456 | − | 6.60750i | −0.122033 | − | 0.439524i | ||||
\(227\) | −0.857402 | − | 15.8139i | −0.0569078 | − | 1.04960i | −0.877955 | − | 0.478743i | \(-0.841093\pi\) |
0.821047 | − | 0.570860i | \(-0.193390\pi\) | |||||||
\(228\) | −6.26510 | − | 0.681371i | −0.414916 | − | 0.0451249i | ||||
\(229\) | −4.50068 | − | 3.42133i | −0.297414 | − | 0.226088i | 0.445816 | − | 0.895125i | \(-0.352914\pi\) |
−0.743229 | + | 0.669037i | \(0.766707\pi\) | |||||||
\(230\) | −3.69814 | + | 13.3195i | −0.243848 | + | 0.878261i | ||||
\(231\) | −7.99791 | − | 1.76047i | −0.526224 | − | 0.115831i | ||||
\(232\) | −0.556632 | + | 0.820971i | −0.0365447 | + | 0.0538994i | ||||
\(233\) | −15.0396 | − | 14.2462i | −0.985275 | − | 0.933302i | 0.0125037 | − | 0.999922i | \(-0.496020\pi\) |
−0.997778 | + | 0.0666200i | \(0.978778\pi\) | |||||||
\(234\) | 1.14155 | + | 2.15318i | 0.0746252 | + | 0.140758i | ||||
\(235\) | −20.1946 | −1.31735 | ||||||||
\(236\) | 5.61680 | − | 5.23943i | 0.365622 | − | 0.341058i | ||||
\(237\) | 5.82844 | 0.378598 | ||||||||
\(238\) | 1.25208 | + | 2.36166i | 0.0811600 | + | 0.153084i | ||||
\(239\) | 11.7631 | + | 11.1426i | 0.760891 | + | 0.720754i | 0.966158 | − | 0.257952i | \(-0.0830477\pi\) |
−0.205267 | + | 0.978706i | \(0.565806\pi\) | |||||||
\(240\) | −1.36045 | + | 2.00652i | −0.0878168 | + | 0.129520i | ||||
\(241\) | 28.1756 | + | 6.20193i | 1.81495 | + | 0.399501i | 0.986924 | − | 0.161185i | \(-0.0515317\pi\) |
0.828028 | + | 0.560687i | \(0.189463\pi\) | |||||||
\(242\) | 1.26351 | − | 4.55076i | 0.0812217 | − | 0.292534i | ||||
\(243\) | −0.796093 | − | 0.605174i | −0.0510694 | − | 0.0388219i | ||||
\(244\) | 4.67196 | + | 0.508107i | 0.299092 | + | 0.0325282i | ||||
\(245\) | −0.483539 | − | 8.91835i | −0.0308922 | − | 0.569772i | ||||
\(246\) | 1.51481 | + | 5.45584i | 0.0965806 | + | 0.347852i | ||||
\(247\) | −5.68478 | + | 14.2677i | −0.361714 | + | 0.907834i | ||||
\(248\) | −2.09647 | + | 0.461468i | −0.133126 | + | 0.0293033i | ||||
\(249\) | 0.630848 | − | 11.6353i | 0.0399783 | − | 0.737357i | ||||
\(250\) | 1.61706 | − | 9.86361i | 0.102272 | − | 0.623829i | ||||
\(251\) | 2.89772 | + | 4.27382i | 0.182902 | + | 0.269761i | 0.908076 | − | 0.418805i | \(-0.137551\pi\) |
−0.725174 | + | 0.688566i | \(0.758241\pi\) | |||||||
\(252\) | −1.20986 | − | 3.03652i | −0.0762141 | − | 0.191283i | ||||
\(253\) | −11.3731 | + | 8.64563i | −0.715023 | + | 0.543546i | ||||
\(254\) | −14.2631 | + | 8.58184i | −0.894948 | + | 0.538473i | ||||
\(255\) | 1.87871 | + | 0.633011i | 0.117649 | + | 0.0396407i | ||||
\(256\) | −0.725995 | + | 0.687699i | −0.0453747 | + | 0.0429812i | ||||
\(257\) | 1.69368 | + | 10.3310i | 0.105649 | + | 0.644429i | 0.985565 | + | 0.169300i | \(0.0541506\pi\) |
−0.879916 | + | 0.475130i | \(0.842401\pi\) | |||||||
\(258\) | −0.334890 | + | 0.0364215i | −0.0208494 | + | 0.00226750i | ||||
\(259\) | 5.76618 | + | 3.46940i | 0.358293 | + | 0.215578i | ||||
\(260\) | 3.82479 | + | 4.50290i | 0.237204 | + | 0.279258i | ||||
\(261\) | −0.900209 | − | 0.416481i | −0.0557215 | − | 0.0257795i | ||||
\(262\) | −5.13042 | + | 2.37359i | −0.316958 | + | 0.146641i | ||||
\(263\) | −2.94058 | + | 3.46191i | −0.181324 | + | 0.213471i | −0.845313 | − | 0.534271i | \(-0.820586\pi\) |
0.663989 | + | 0.747742i | \(0.268862\pi\) | |||||||
\(264\) | −2.37426 | + | 0.799982i | −0.146126 | + | 0.0492355i | ||||
\(265\) | −8.79296 | + | 16.5853i | −0.540147 | + | 1.01883i | ||||
\(266\) | 9.64889 | − | 18.1997i | 0.591612 | − | 1.11590i | ||||
\(267\) | 15.8913 | − | 5.35440i | 0.972531 | − | 0.327684i | ||||
\(268\) | 6.50586 | − | 7.65929i | 0.397409 | − | 0.467866i | ||||
\(269\) | −11.7075 | + | 5.41648i | −0.713821 | + | 0.330249i | −0.742968 | − | 0.669326i | \(-0.766583\pi\) |
0.0291476 | + | 0.999575i | \(0.490721\pi\) | |||||||
\(270\) | −2.20018 | − | 1.01791i | −0.133899 | − | 0.0619482i | ||||
\(271\) | 10.6122 | + | 12.4936i | 0.644645 | + | 0.758935i | 0.983303 | − | 0.181975i | \(-0.0582489\pi\) |
−0.338658 | + | 0.940909i | \(0.609973\pi\) | |||||||
\(272\) | 0.700717 | + | 0.421608i | 0.0424872 | + | 0.0255637i | ||||
\(273\) | −7.91930 | + | 0.861276i | −0.479298 | + | 0.0521268i | ||||
\(274\) | −2.72582 | − | 16.6268i | −0.164673 | − | 1.00446i | ||||
\(275\) | −1.59509 | + | 1.51095i | −0.0961873 | + | 0.0911135i | ||||
\(276\) | −5.40364 | − | 1.82070i | −0.325261 | − | 0.109593i | ||||
\(277\) | 15.8093 | − | 9.51213i | 0.949888 | − | 0.571528i | 0.0458348 | − | 0.998949i | \(-0.485405\pi\) |
0.904053 | + | 0.427421i | \(0.140578\pi\) | |||||||
\(278\) | 7.30742 | − | 5.55496i | 0.438270 | − | 0.333164i | ||||
\(279\) | −0.794561 | − | 1.99420i | −0.0475691 | − | 0.119389i | ||||
\(280\) | −4.44687 | − | 6.55865i | −0.265752 | − | 0.391954i | ||||
\(281\) | 2.40168 | − | 14.6496i | 0.143272 | − | 0.873921i | −0.813176 | − | 0.582018i | \(-0.802263\pi\) |
0.956448 | − | 0.291903i | \(-0.0942883\pi\) | |||||||
\(282\) | 0.450993 | − | 8.31808i | 0.0268562 | − | 0.495334i | ||||
\(283\) | −17.1966 | + | 3.78526i | −1.02223 | + | 0.225010i | −0.694296 | − | 0.719690i | \(-0.744284\pi\) |
−0.327936 | + | 0.944700i | \(0.606353\pi\) | |||||||
\(284\) | −1.56653 | + | 3.93168i | −0.0929562 | + | 0.233303i | ||||
\(285\) | −4.08721 | − | 14.7208i | −0.242105 | − | 0.871985i | ||||
\(286\) | 0.330565 | + | 6.09692i | 0.0195467 | + | 0.360518i | ||||
\(287\) | −18.3995 | − | 2.00106i | −1.08609 | − | 0.118119i | ||||
\(288\) | −0.796093 | − | 0.605174i | −0.0469102 | − | 0.0356602i | ||||
\(289\) | −4.36907 | + | 15.7360i | −0.257004 | + | 0.925645i | ||||
\(290\) | −2.34835 | − | 0.516910i | −0.137900 | − | 0.0303540i | ||||
\(291\) | −7.42623 | + | 10.9529i | −0.435333 | + | 0.642069i | ||||
\(292\) | −2.94584 | − | 2.79045i | −0.172392 | − | 0.163299i | ||||
\(293\) | 1.16153 | + | 2.19088i | 0.0678573 | + | 0.127993i | 0.915120 | − | 0.403182i | \(-0.132096\pi\) |
−0.847263 | + | 0.531174i | \(0.821751\pi\) | |||||||
\(294\) | 3.68422 | 0.214868 | ||||||||
\(295\) | 16.8395 | + | 7.94802i | 0.980433 | + | 0.462752i | ||||
\(296\) | 2.05877 | 0.119664 | ||||||||
\(297\) | −1.17356 | − | 2.21356i | −0.0680966 | − | 0.128444i | ||||
\(298\) | −2.26417 | − | 2.14473i | −0.131160 | − | 0.124241i | ||||
\(299\) | −7.79855 | + | 11.5020i | −0.451002 | + | 0.665178i | ||||
\(300\) | −0.856440 | − | 0.188517i | −0.0494466 | − | 0.0108840i | ||||
\(301\) | 0.294576 | − | 1.06097i | 0.0169791 | − | 0.0611531i | ||||
\(302\) | −15.3239 | − | 11.6489i | −0.881789 | − | 0.670318i | ||||
\(303\) | −3.46156 | − | 0.376467i | −0.198861 | − | 0.0216275i | ||||
\(304\) | −0.341186 | − | 6.29280i | −0.0195683 | − | 0.360917i | ||||
\(305\) | 3.04788 | + | 10.9775i | 0.174521 | + | 0.628569i | ||||
\(306\) | −0.302690 | + | 0.759695i | −0.0173036 | + | 0.0434289i | ||||
\(307\) | −16.0295 | + | 3.52835i | −0.914851 | + | 0.201374i | −0.647358 | − | 0.762186i | \(-0.724126\pi\) |
−0.267493 | + | 0.963560i | \(0.586195\pi\) | |||||||
\(308\) | 0.443364 | − | 8.17736i | 0.0252630 | − | 0.465948i | ||||
\(309\) | 2.65528 | − | 16.1965i | 0.151054 | − | 0.921386i | ||||
\(310\) | −2.92043 | − | 4.30731i | −0.165869 | − | 0.244639i | ||||
\(311\) | −4.50325 | − | 11.3023i | −0.255356 | − | 0.640895i | 0.744280 | − | 0.667867i | \(-0.232793\pi\) |
−0.999636 | + | 0.0269726i | \(0.991413\pi\) | |||||||
\(312\) | −1.94014 | + | 1.47485i | −0.109839 | + | 0.0834972i | ||||
\(313\) | −26.3493 | + | 15.8539i | −1.48935 | + | 0.896113i | −0.489644 | + | 0.871922i | \(0.662873\pi\) |
−0.999707 | + | 0.0241909i | \(0.992299\pi\) | |||||||
\(314\) | −7.81619 | − | 2.63358i | −0.441093 | − | 0.148622i | ||||
\(315\) | 5.75282 | − | 5.44937i | 0.324135 | − | 0.307037i | ||||
\(316\) | 0.942936 | + | 5.75165i | 0.0530443 | + | 0.323556i | ||||
\(317\) | 7.71057 | − | 0.838575i | 0.433069 | − | 0.0470991i | 0.111011 | − | 0.993819i | \(-0.464591\pi\) |
0.322058 | + | 0.946720i | \(0.395626\pi\) | |||||||
\(318\) | −6.63503 | − | 3.99217i | −0.372074 | − | 0.223870i | ||||
\(319\) | −1.60880 | − | 1.89403i | −0.0900757 | − | 0.106045i | ||||
\(320\) | −2.20018 | − | 1.01791i | −0.122994 | − | 0.0569030i | ||||
\(321\) | −17.5854 | + | 8.13587i | −0.981521 | + | 0.454100i | ||||
\(322\) | 12.0662 | − | 14.2055i | 0.672426 | − | 0.791641i | ||||
\(323\) | −4.88388 | + | 1.64557i | −0.271746 | + | 0.0915620i | ||||
\(324\) | 0.468408 | − | 0.883512i | 0.0260227 | − | 0.0490840i | ||||
\(325\) | −1.00107 | + | 1.88822i | −0.0555294 | + | 0.104740i | ||||
\(326\) | −23.1258 | + | 7.79200i | −1.28082 | + | 0.431559i | ||||
\(327\) | 1.49662 | − | 1.76196i | 0.0827635 | − | 0.0974367i | ||||
\(328\) | −5.13890 | + | 2.37751i | −0.283748 | + | 0.131276i | ||||
\(329\) | 24.7124 | + | 11.4332i | 1.36244 | + | 0.630331i | ||||
\(330\) | −3.93204 | − | 4.62916i | −0.216452 | − | 0.254827i | ||||
\(331\) | −4.06394 | − | 2.44519i | −0.223375 | − | 0.134400i | 0.399468 | − | 0.916747i | \(-0.369195\pi\) |
−0.622843 | + | 0.782347i | \(0.714022\pi\) | |||||||
\(332\) | 11.5841 | − | 1.25984i | 0.635759 | − | 0.0691430i | ||||
\(333\) | 0.333072 | + | 2.03165i | 0.0182523 | + | 0.111334i | ||||
\(334\) | 13.8591 | − | 13.1281i | 0.758338 | − | 0.718336i | ||||
\(335\) | 23.0869 | + | 7.77890i | 1.26137 | + | 0.425007i | ||||
\(336\) | 2.80079 | − | 1.68518i | 0.152795 | − | 0.0919339i | ||||
\(337\) | −13.6313 | + | 10.3623i | −0.742545 | + | 0.564468i | −0.906604 | − | 0.421982i | \(-0.861334\pi\) |
0.164059 | + | 0.986451i | \(0.447541\pi\) | |||||||
\(338\) | −2.61342 | − | 6.55920i | −0.142151 | − | 0.356773i | ||||
\(339\) | 3.84831 | + | 5.67584i | 0.209012 | + | 0.308269i | ||||
\(340\) | −0.320730 | + | 1.95637i | −0.0173941 | + | 0.106099i | ||||
\(341\) | 0.291173 | − | 5.37038i | 0.0157679 | − | 0.290822i | ||||
\(342\) | 6.15470 | − | 1.35475i | 0.332808 | − | 0.0732566i | ||||
\(343\) | 4.01163 | − | 10.0684i | 0.216608 | − | 0.543644i | ||||
\(344\) | −0.0901209 | − | 0.324586i | −0.00485899 | − | 0.0175005i | ||||
\(345\) | −0.748381 | − | 13.8031i | −0.0402915 | − | 0.743132i | ||||
\(346\) | −8.52594 | − | 0.927252i | −0.458358 | − | 0.0498494i | ||||
\(347\) | 3.35824 | + | 2.55286i | 0.180280 | + | 0.137045i | 0.691422 | − | 0.722451i | \(-0.256984\pi\) |
−0.511143 | + | 0.859496i | \(0.670778\pi\) | |||||||
\(348\) | 0.265357 | − | 0.955729i | 0.0142246 | − | 0.0512324i | ||||
\(349\) | 6.11075 | + | 1.34508i | 0.327101 | + | 0.0720003i | 0.375485 | − | 0.926828i | \(-0.377476\pi\) |
−0.0483842 | + | 0.998829i | \(0.515407\pi\) | |||||||
\(350\) | 1.60861 | − | 2.37252i | 0.0859838 | − | 0.126817i | ||||
\(351\) | −1.76931 | − | 1.67597i | −0.0944385 | − | 0.0894569i | ||||
\(352\) | −1.17356 | − | 2.21356i | −0.0625507 | − | 0.117983i | ||||
\(353\) | −36.2578 | −1.92981 | −0.964904 | − | 0.262601i | \(-0.915420\pi\) | ||||
−0.964904 | + | 0.262601i | \(0.915420\pi\) | |||||||
\(354\) | −3.64982 | + | 6.75861i | −0.193986 | + | 0.359216i | ||||
\(355\) | −10.2601 | −0.544547 | ||||||||
\(356\) | 7.85479 | + | 14.8157i | 0.416303 | + | 0.785230i | ||||
\(357\) | −1.94062 | − | 1.83825i | −0.102708 | − | 0.0972905i | ||||
\(358\) | 12.3389 | − | 18.1985i | 0.652130 | − | 0.961819i | ||||
\(359\) | −14.3635 | − | 3.16165i | −0.758078 | − | 0.166866i | −0.180920 | − | 0.983498i | \(-0.557907\pi\) |
−0.577158 | + | 0.816632i | \(0.695838\pi\) | |||||||
\(360\) | 0.648553 | − | 2.33588i | 0.0341817 | − | 0.123112i | ||||
\(361\) | 16.4917 | + | 12.5366i | 0.867982 | + | 0.659823i | ||||
\(362\) | 13.7040 | + | 1.49040i | 0.720267 | + | 0.0783337i | ||||
\(363\) | 0.255693 | + | 4.71599i | 0.0134204 | + | 0.247525i | ||||
\(364\) | −2.13113 | − | 7.67564i | −0.111702 | − | 0.402313i | ||||
\(365\) | 3.64095 | − | 9.13809i | 0.190576 | − | 0.478310i | ||||
\(366\) | −4.58964 | + | 1.01026i | −0.239904 | + | 0.0528069i | ||||
\(367\) | 1.41983 | − | 26.1872i | 0.0741146 | − | 1.36696i | −0.690900 | − | 0.722950i | \(-0.742786\pi\) |
0.765015 | − | 0.644013i | \(-0.222732\pi\) | |||||||
\(368\) | 0.922502 | − | 5.62702i | 0.0480888 | − | 0.293328i | ||||
\(369\) | −3.17757 | − | 4.68657i | −0.165418 | − | 0.243973i | ||||
\(370\) | 1.84734 | + | 4.63649i | 0.0960389 | + | 0.241039i | ||||
\(371\) | 20.1498 | − | 15.3175i | 1.04612 | − | 0.795242i | ||||
\(372\) | 1.83938 | − | 1.10672i | 0.0953675 | − | 0.0573807i | ||||
\(373\) | 6.24153 | + | 2.10302i | 0.323174 | + | 0.108890i | 0.476213 | − | 0.879330i | \(-0.342009\pi\) |
−0.153038 | + | 0.988220i | \(0.548906\pi\) | |||||||
\(374\) | −1.48747 | + | 1.40900i | −0.0769151 | + | 0.0728578i | ||||
\(375\) | 1.61706 | + | 9.86361i | 0.0835045 | + | 0.509355i | ||||
\(376\) | 8.28146 | − | 0.900663i | 0.427084 | − | 0.0464482i | ||||
\(377\) | −2.07127 | − | 1.24624i | −0.106676 | − | 0.0641849i | ||||
\(378\) | 2.11609 | + | 2.49126i | 0.108840 | + | 0.128137i | ||||
\(379\) | 10.8971 | + | 5.04154i | 0.559747 | + | 0.258967i | 0.679299 | − | 0.733861i | \(-0.262284\pi\) |
−0.119552 | + | 0.992828i | \(0.538146\pi\) | |||||||
\(380\) | 13.8656 | − | 6.41493i | 0.711292 | − | 0.329079i | ||||
\(381\) | 10.7763 | − | 12.6868i | 0.552087 | − | 0.649967i | ||||
\(382\) | 1.16793 | − | 0.393520i | 0.0597563 | − | 0.0201342i | ||||
\(383\) | 0.0703707 | − | 0.132733i | 0.00359578 | − | 0.00678235i | −0.881708 | − | 0.471796i | \(-0.843606\pi\) |
0.885303 | + | 0.465014i | \(0.153951\pi\) | |||||||
\(384\) | 0.468408 | − | 0.883512i | 0.0239034 | − | 0.0450865i | ||||
\(385\) | 18.8138 | − | 6.33909i | 0.958838 | − | 0.323070i | ||||
\(386\) | −13.8518 | + | 16.3076i | −0.705039 | + | 0.830036i | ||||
\(387\) | 0.305730 | − | 0.141446i | 0.0155411 | − | 0.00719010i | ||||
\(388\) | −12.0100 | − | 5.55642i | −0.609716 | − | 0.282085i | ||||
\(389\) | 3.17913 | + | 3.74276i | 0.161188 | + | 0.189766i | 0.836827 | − | 0.547467i | \(-0.184408\pi\) |
−0.675639 | + | 0.737233i | \(0.736132\pi\) | |||||||
\(390\) | −5.06236 | − | 3.04592i | −0.256343 | − | 0.154236i | ||||
\(391\) | −4.63573 | + | 0.504166i | −0.234439 | + | 0.0254968i | ||||
\(392\) | 0.596041 | + | 3.63569i | 0.0301046 | + | 0.183630i | ||||
\(393\) | 4.10397 | − | 3.88749i | 0.207018 | − | 0.196098i | ||||
\(394\) | 3.91101 | + | 1.31777i | 0.197034 | + | 0.0663884i | ||||
\(395\) | −12.1070 | + | 7.28453i | −0.609169 | + | 0.366525i | ||||
\(396\) | 1.99454 | − | 1.51621i | 0.100229 | − | 0.0761924i | ||||
\(397\) | −10.8402 | − | 27.2069i | −0.544056 | − | 1.36548i | −0.902001 | − | 0.431734i | \(-0.857902\pi\) |
0.357945 | − | 0.933743i | \(-0.383478\pi\) | |||||||
\(398\) | −14.3355 | − | 21.1433i | −0.718575 | − | 1.05982i | ||||
\(399\) | −3.33260 | + | 20.3280i | −0.166839 | + | 1.01767i | ||||
\(400\) | 0.0474767 | − | 0.875657i | 0.00237384 | − | 0.0437828i | ||||
\(401\) | 8.35855 | − | 1.83986i | 0.417406 | − | 0.0918781i | −0.00130141 | − | 0.999999i | \(-0.500414\pi\) |
0.418708 | + | 0.908121i | \(0.362483\pi\) | |||||||
\(402\) | −3.71968 | + | 9.33568i | −0.185521 | + | 0.465622i | ||||
\(403\) | −1.39959 | − | 5.04088i | −0.0697187 | − | 0.251104i | ||||
\(404\) | −0.188510 | − | 3.47686i | −0.00937873 | − | 0.172980i | ||||
\(405\) | 2.41003 | + | 0.262107i | 0.119755 | + | 0.0130242i | ||||
\(406\) | 2.58105 | + | 1.96206i | 0.128095 | + | 0.0973754i | ||||
\(407\) | −1.37993 | + | 4.97006i | −0.0684006 | + | 0.246357i | ||||
\(408\) | −0.798657 | − | 0.175798i | −0.0395394 | − | 0.00870328i | ||||
\(409\) | −3.10452 | + | 4.57882i | −0.153508 | + | 0.226408i | −0.896665 | − | 0.442709i | \(-0.854017\pi\) |
0.743157 | + | 0.669117i | \(0.233328\pi\) | |||||||
\(410\) | −9.96546 | − | 9.43978i | −0.492159 | − | 0.466198i | ||||
\(411\) | 7.89209 | + | 14.8861i | 0.389288 | + | 0.734275i | ||||
\(412\) | 16.4127 | 0.808596 | ||||||||
\(413\) | −16.1069 | − | 19.2597i | −0.792569 | − | 0.947709i | ||||
\(414\) | 5.70213 | 0.280245 | ||||||||
\(415\) | 13.2317 | + | 24.9576i | 0.649518 | + | 1.22512i | ||||
\(416\) | −1.76931 | − | 1.67597i | −0.0867473 | − | 0.0821714i | ||||
\(417\) | −5.15119 | + | 7.59744i | −0.252255 | + | 0.372048i | ||||
\(418\) | 15.4201 | + | 3.39421i | 0.754220 | + | 0.166016i | ||||
\(419\) | 1.38305 | − | 4.98129i | 0.0675663 | − | 0.243352i | −0.922053 | − | 0.387063i | \(-0.873490\pi\) |
0.989620 | + | 0.143711i | \(0.0459035\pi\) | |||||||
\(420\) | 6.30828 | + | 4.79543i | 0.307813 | + | 0.233993i | ||||
\(421\) | 6.15328 | + | 0.669210i | 0.299893 | + | 0.0326153i | 0.256828 | − | 0.966457i | \(-0.417322\pi\) |
0.0430643 | + | 0.999072i | \(0.486288\pi\) | |||||||
\(422\) | 1.38118 | + | 25.4744i | 0.0672349 | + | 1.24007i | ||||
\(423\) | 2.22859 | + | 8.02665i | 0.108358 | + | 0.390269i | ||||
\(424\) | 2.86615 | − | 7.19349i | 0.139192 | − | 0.349347i | ||||
\(425\) | −0.700376 | + | 0.154165i | −0.0339732 | + | 0.00747808i | ||||
\(426\) | 0.229131 | − | 4.22607i | 0.0111014 | − | 0.204754i | ||||
\(427\) | 2.48516 | − | 15.1588i | 0.120265 | − | 0.733586i | ||||
\(428\) | −10.8737 | − | 16.0375i | −0.525600 | − | 0.775202i | ||||
\(429\) | −2.26002 | − | 5.67221i | −0.109115 | − | 0.273857i | ||||
\(430\) | 0.650123 | − | 0.494211i | 0.0313517 | − | 0.0238329i | ||||
\(431\) | 17.7147 | − | 10.6586i | 0.853287 | − | 0.513406i | −0.0204573 | − | 0.999791i | \(-0.506512\pi\) |
0.873745 | + | 0.486385i | \(0.161685\pi\) | |||||||
\(432\) | 0.947653 | + | 0.319302i | 0.0455940 | + | 0.0153624i | ||||
\(433\) | −18.2780 | + | 17.3138i | −0.878383 | + | 0.832049i | −0.986781 | − | 0.162059i | \(-0.948187\pi\) |
0.108398 | + | 0.994108i | \(0.465428\pi\) | |||||||
\(434\) | 1.13518 | + | 6.92429i | 0.0544904 | + | 0.332377i | ||||
\(435\) | 2.39047 | − | 0.259979i | 0.114614 | − | 0.0124650i | ||||
\(436\) | 1.98088 | + | 1.19185i | 0.0948668 | + | 0.0570795i | ||||
\(437\) | 23.2639 | + | 27.3884i | 1.11286 | + | 1.31016i | ||||
\(438\) | 3.68263 | + | 1.70376i | 0.175963 | + | 0.0814090i | ||||
\(439\) | −34.1066 | + | 15.7794i | −1.62782 | + | 0.753109i | −0.999687 | − | 0.0249999i | \(-0.992041\pi\) |
−0.628130 | + | 0.778108i | \(0.716179\pi\) | |||||||
\(440\) | 3.93204 | − | 4.62916i | 0.187453 | − | 0.220686i | ||||
\(441\) | −3.49137 | + | 1.17638i | −0.166256 | + | 0.0560180i | ||||
\(442\) | −0.933529 | + | 1.76082i | −0.0444034 | + | 0.0837538i | ||||
\(443\) | 15.6389 | − | 29.4982i | 0.743029 | − | 1.40150i | −0.166577 | − | 0.986028i | \(-0.553272\pi\) |
0.909606 | − | 0.415472i | \(-0.136384\pi\) | |||||||
\(444\) | −1.95100 | + | 0.657369i | −0.0925905 | + | 0.0311974i | ||||
\(445\) | −26.3178 | + | 30.9837i | −1.24758 | + | 1.46877i | ||||
\(446\) | −16.0137 | + | 7.40875i | −0.758273 | + | 0.350814i | ||||
\(447\) | 2.83046 | + | 1.30951i | 0.133876 | + | 0.0619377i | ||||
\(448\) | 2.11609 | + | 2.49126i | 0.0999760 | + | 0.117701i | ||||
\(449\) | −18.0040 | − | 10.8327i | −0.849662 | − | 0.511225i | 0.0228945 | − | 0.999738i | \(-0.492712\pi\) |
−0.872557 | + | 0.488513i | \(0.837539\pi\) | |||||||
\(450\) | 0.871802 | − | 0.0948142i | 0.0410972 | − | 0.00446958i | ||||
\(451\) | −2.29507 | − | 13.9993i | −0.108071 | − | 0.659203i | ||||
\(452\) | −4.97848 | + | 4.71587i | −0.234168 | + | 0.221816i | ||||
\(453\) | 18.2412 | + | 6.14618i | 0.857047 | + | 0.288773i | ||||
\(454\) | −13.5701 | + | 8.16487i | −0.636877 | + | 0.383196i | ||||
\(455\) | 15.3738 | − | 11.6868i | 0.720733 | − | 0.547887i | ||||
\(456\) | 2.33263 | + | 5.85445i | 0.109235 | + | 0.274160i | ||||
\(457\) | −12.1446 | − | 17.9119i | −0.568099 | − | 0.837883i | 0.429784 | − | 0.902932i | \(-0.358590\pi\) |
−0.997882 | + | 0.0650493i | \(0.979280\pi\) | |||||||
\(458\) | −0.914629 | + | 5.57899i | −0.0427378 | + | 0.260689i | ||||
\(459\) | 0.0442735 | − | 0.816577i | 0.00206651 | − | 0.0381145i | ||||
\(460\) | 13.5002 | − | 2.97161i | 0.629448 | − | 0.138552i | ||||
\(461\) | −6.16634 | + | 15.4764i | −0.287195 | + | 0.720806i | 0.712619 | + | 0.701551i | \(0.247509\pi\) |
−0.999815 | + | 0.0192547i | \(0.993871\pi\) | |||||||
\(462\) | 2.19089 | + | 7.89087i | 0.101929 | + | 0.367116i | ||||
\(463\) | −0.0785894 | − | 1.44950i | −0.00365236 | − | 0.0673638i | 0.996139 | − | 0.0877900i | \(-0.0279804\pi\) |
−0.999791 | + | 0.0204262i | \(0.993498\pi\) | |||||||
\(464\) | 0.986068 | + | 0.107241i | 0.0457771 | + | 0.00497856i | ||||
\(465\) | 4.14288 | + | 3.14934i | 0.192122 | + | 0.146047i | ||||
\(466\) | −5.54206 | + | 19.9607i | −0.256731 | + | 0.924661i | ||||
\(467\) | −16.2884 | − | 3.58535i | −0.753738 | − | 0.165910i | −0.178549 | − | 0.983931i | \(-0.557140\pi\) |
−0.575189 | + | 0.818021i | \(0.695071\pi\) | |||||||
\(468\) | 1.36765 | − | 2.01714i | 0.0632199 | − | 0.0932423i | ||||
\(469\) | −23.8477 | − | 22.5898i | −1.10119 | − | 1.04310i | ||||
\(470\) | 9.45934 | + | 17.8422i | 0.436327 | + | 0.822999i | ||||
\(471\) | 8.24794 | 0.380045 | ||||||||
\(472\) | −7.26005 | − | 2.50832i | −0.334171 | − | 0.115455i | ||||
\(473\) | 0.843985 | 0.0388065 | ||||||||
\(474\) | −2.73009 | − | 5.14949i | −0.125397 | − | 0.236524i | ||||
\(475\) | 4.01224 | + | 3.80059i | 0.184094 | + | 0.174383i | ||||
\(476\) | 1.50008 | − | 2.21245i | 0.0687559 | − | 0.101407i | ||||
\(477\) | 7.56241 | + | 1.66461i | 0.346259 | + | 0.0762174i | ||||
\(478\) | 4.33468 | − | 15.6121i | 0.198264 | − | 0.714081i | ||||
\(479\) | 14.5136 | + | 11.0330i | 0.663144 | + | 0.504109i | 0.881758 | − | 0.471702i | \(-0.156360\pi\) |
−0.218614 | + | 0.975812i | \(0.570153\pi\) | |||||||
\(480\) | 2.41003 | + | 0.262107i | 0.110002 | + | 0.0119635i | ||||
\(481\) | 0.271636 | + | 5.01002i | 0.0123855 | + | 0.228437i | ||||
\(482\) | −7.71823 | − | 27.7985i | −0.351556 | − | 1.26619i | ||||
\(483\) | −6.89879 | + | 17.3146i | −0.313906 | + | 0.787844i | ||||
\(484\) | −4.61250 | + | 1.01529i | −0.209659 | + | 0.0461494i | ||||
\(485\) | 1.73678 | − | 32.0331i | 0.0788633 | − | 1.45455i | ||||
\(486\) | −0.161782 | + | 0.986827i | −0.00733858 | + | 0.0447634i | ||||
\(487\) | 10.0524 | + | 14.8262i | 0.455518 | + | 0.671839i | 0.984216 | − | 0.176971i | \(-0.0566299\pi\) |
−0.528698 | + | 0.848810i | \(0.677320\pi\) | |||||||
\(488\) | −1.73947 | − | 4.36574i | −0.0787421 | − | 0.197628i | ||||
\(489\) | 19.4273 | − | 14.7682i | 0.878531 | − | 0.667842i | ||||
\(490\) | −7.65297 | + | 4.60464i | −0.345726 | + | 0.208016i | ||||
\(491\) | 22.4770 | + | 7.57340i | 1.01437 | + | 0.341783i | 0.776909 | − | 0.629613i | \(-0.216787\pi\) |
0.237466 | + | 0.971396i | \(0.423683\pi\) | |||||||
\(492\) | 4.11075 | − | 3.89391i | 0.185327 | − | 0.175551i | ||||
\(493\) | −0.131228 | − | 0.800452i | −0.00591019 | − | 0.0360506i | ||||
\(494\) | 15.2685 | − | 1.66055i | 0.686963 | − | 0.0747117i | ||||
\(495\) | 5.20431 | + | 3.13133i | 0.233916 | + | 0.140743i | ||||
\(496\) | 1.38972 | + | 1.63610i | 0.0624002 | + | 0.0734632i | ||||
\(497\) | 12.5553 | + | 5.80871i | 0.563183 | + | 0.260556i | ||||
\(498\) | −10.5754 | + | 4.89271i | −0.473896 | + | 0.219248i | ||||
\(499\) | −12.9027 | + | 15.1902i | −0.577604 | + | 0.680008i | −0.970922 | − | 0.239395i | \(-0.923051\pi\) |
0.393319 | + | 0.919402i | \(0.371327\pi\) | |||||||
\(500\) | −9.47206 | + | 3.19151i | −0.423603 | + | 0.142729i | ||||
\(501\) | −8.94184 | + | 16.8661i | −0.399492 | + | 0.753522i | ||||
\(502\) | 2.41865 | − | 4.56206i | 0.107950 | − | 0.203615i | ||||
\(503\) | −9.08069 | + | 3.05964i | −0.404888 | + | 0.136423i | −0.514374 | − | 0.857566i | \(-0.671976\pi\) |
0.109487 | + | 0.993988i | \(0.465079\pi\) | |||||||
\(504\) | −2.11609 | + | 2.49126i | −0.0942583 | + | 0.110969i | ||||
\(505\) | 7.66096 | − | 3.54434i | 0.340908 | − | 0.157721i | ||||
\(506\) | 12.9658 | + | 5.99861i | 0.576400 | + | 0.266671i | ||||
\(507\) | 4.57098 | + | 5.38137i | 0.203004 | + | 0.238995i | ||||
\(508\) | 14.2631 | + | 8.58184i | 0.632824 | + | 0.380758i | ||||
\(509\) | −5.83509 | + | 0.634604i | −0.258636 | + | 0.0281283i | −0.236518 | − | 0.971627i | \(-0.576006\pi\) |
−0.0221175 | + | 0.999755i | \(0.507041\pi\) | |||||||
\(510\) | −0.320730 | − | 1.95637i | −0.0142022 | − | 0.0866295i | ||||
\(511\) | −9.62898 | + | 9.12106i | −0.425961 | + | 0.403492i | ||||
\(512\) | 0.947653 | + | 0.319302i | 0.0418807 | + | 0.0141113i | ||||
\(513\) | −5.39995 | + | 3.24904i | −0.238414 | + | 0.143449i | ||||
\(514\) | 8.33422 | − | 6.33551i | 0.367607 | − | 0.279447i | ||||
\(515\) | 14.7272 | + | 36.9624i | 0.648957 | + | 1.62876i | ||||
\(516\) | 0.189044 | + | 0.278819i | 0.00832221 | + | 0.0122743i | ||||
\(517\) | −3.37652 | + | 20.5959i | −0.148499 | + | 0.905805i | ||||
\(518\) | 0.364325 | − | 6.71959i | 0.0160075 | − | 0.295242i | ||||
\(519\) | 8.37571 | − | 1.84363i | 0.367653 | − | 0.0809265i | ||||
\(520\) | 2.18680 | − | 5.48845i | 0.0958974 | − | 0.240684i | ||||
\(521\) | −8.53782 | − | 30.7505i | −0.374049 | − | 1.34720i | −0.876002 | − | 0.482307i | \(-0.839799\pi\) |
0.501953 | − | 0.864895i | \(-0.332615\pi\) | |||||||
\(522\) | 0.0536995 | + | 0.990428i | 0.00235036 | + | 0.0433499i | ||||
\(523\) | −26.6595 | − | 2.89940i | −1.16574 | − | 0.126782i | −0.495283 | − | 0.868732i | \(-0.664936\pi\) |
−0.670455 | + | 0.741950i | \(0.733901\pi\) | |||||||
\(524\) | 4.50022 | + | 3.42098i | 0.196593 | + | 0.149446i | ||||
\(525\) | −0.766854 | + | 2.76196i | −0.0334682 | + | 0.120542i | ||||
\(526\) | 4.43603 | + | 0.976445i | 0.193420 | + | 0.0425750i | ||||
\(527\) | 0.985156 | − | 1.45300i | 0.0429141 | − | 0.0632935i | ||||
\(528\) | 1.81892 | + | 1.72297i | 0.0791582 | + | 0.0749826i | ||||
\(529\) | 4.45659 | + | 8.40601i | 0.193765 | + | 0.365479i | ||||
\(530\) | 18.7720 | 0.815403 | ||||||||
\(531\) | 1.30073 | − | 7.57021i | 0.0564467 | − | 0.328519i | ||||
\(532\) | −20.5993 | −0.893094 | ||||||||
\(533\) | −6.46370 | − | 12.1918i | −0.279974 | − | 0.528087i | ||||
\(534\) | −12.1743 | − | 11.5321i | −0.526833 | − | 0.499043i | ||||
\(535\) | 26.3605 | − | 38.8788i | 1.13966 | − | 1.68088i | ||||
\(536\) | −9.81448 | − | 2.16033i | −0.423921 | − | 0.0933120i | ||||
\(537\) | −5.88217 | + | 21.1857i | −0.253834 | + | 0.914229i | ||||
\(538\) | 10.2694 | + | 7.80662i | 0.442747 | + | 0.336567i | ||||
\(539\) | −9.17638 | − | 0.997992i | −0.395255 | − | 0.0429866i | ||||
\(540\) | 0.131246 | + | 2.42069i | 0.00564792 | + | 0.104170i | ||||
\(541\) | 6.86924 | + | 24.7408i | 0.295332 | + | 1.06369i | 0.951140 | + | 0.308761i | \(0.0999142\pi\) |
−0.655808 | + | 0.754927i | \(0.727672\pi\) | |||||||
\(542\) | 6.06744 | − | 15.2281i | 0.260619 | − | 0.654104i | ||||
\(543\) | −13.4625 | + | 2.96333i | −0.577733 | + | 0.127169i | ||||
\(544\) | 0.0442735 | − | 0.816577i | 0.00189821 | − | 0.0350104i | ||||
\(545\) | −0.906682 | + | 5.53051i | −0.0388380 | + | 0.236901i | ||||
\(546\) | 4.47042 | + | 6.59337i | 0.191316 | + | 0.282170i | ||||
\(547\) | 9.94900 | + | 24.9701i | 0.425389 | + | 1.06764i | 0.972978 | + | 0.230898i | \(0.0741662\pi\) |
−0.547590 | + | 0.836747i | \(0.684454\pi\) | |||||||
\(548\) | −13.4132 | + | 10.1964i | −0.572982 | + | 0.435570i | ||||
\(549\) | 4.02681 | − | 2.42285i | 0.171860 | − | 0.103405i | ||||
\(550\) | 2.08209 | + | 0.701538i | 0.0887807 | + | 0.0299137i | ||||
\(551\) | −4.53812 | + | 4.29873i | −0.193330 | + | 0.183132i | ||||
\(552\) | 0.922502 | + | 5.62702i | 0.0392643 | + | 0.239502i | ||||
\(553\) | 18.9396 | − | 2.05980i | 0.805392 | − | 0.0875917i | ||||
\(554\) | −15.8093 | − | 9.51213i | −0.671672 | − | 0.404132i | ||||
\(555\) | −3.23108 | − | 3.80392i | −0.137152 | − | 0.161467i | ||||
\(556\) | −8.33073 | − | 3.85420i | −0.353302 | − | 0.163455i | ||||
\(557\) | −3.90005 | + | 1.80435i | −0.165250 | + | 0.0764529i | −0.500771 | − | 0.865580i | \(-0.666950\pi\) |
0.335520 | + | 0.942033i | \(0.391088\pi\) | |||||||
\(558\) | −1.38972 | + | 1.63610i | −0.0588315 | + | 0.0692617i | ||||
\(559\) | 0.777990 | − | 0.262135i | 0.0329055 | − | 0.0110871i | ||||
\(560\) | −3.71169 | + | 7.00099i | −0.156848 | + | 0.295846i | ||||
\(561\) | 0.959706 | − | 1.81020i | 0.0405188 | − | 0.0764266i | ||||
\(562\) | −14.0680 | + | 4.74008i | −0.593425 | + | 0.199948i | ||||
\(563\) | −0.522610 | + | 0.615264i | −0.0220254 | + | 0.0259303i | −0.773064 | − | 0.634327i | \(-0.781277\pi\) |
0.751039 | + | 0.660258i | \(0.229553\pi\) | |||||||
\(564\) | −7.56037 | + | 3.49780i | −0.318349 | + | 0.147284i | ||||
\(565\) | −15.0876 | − | 6.98029i | −0.634742 | − | 0.293663i | ||||
\(566\) | 11.3994 | + | 13.4204i | 0.479151 | + | 0.564100i | ||||
\(567\) | −2.80079 | − | 1.68518i | −0.117622 | − | 0.0707708i | ||||
\(568\) | 4.20746 | − | 0.457589i | 0.176541 | − | 0.0192000i | ||||
\(569\) | −0.397197 | − | 2.42279i | −0.0166513 | − | 0.101569i | 0.977193 | − | 0.212352i | \(-0.0681123\pi\) |
−0.993845 | + | 0.110783i | \(0.964664\pi\) | |||||||
\(570\) | −11.0915 | + | 10.5064i | −0.464573 | + | 0.440067i | ||||
\(571\) | 33.8369 | + | 11.4010i | 1.41603 | + | 0.477116i | 0.920249 | − | 0.391333i | \(-0.127986\pi\) |
0.495779 | + | 0.868449i | \(0.334882\pi\) | |||||||
\(572\) | 5.23186 | − | 3.14791i | 0.218755 | − | 0.131621i | ||||
\(573\) | −0.981137 | + | 0.745841i | −0.0409876 | + | 0.0311580i | ||||
\(574\) | 6.85051 | + | 17.1935i | 0.285935 | + | 0.717642i | ||||
\(575\) | 2.80618 | + | 4.13881i | 0.117026 | + | 0.172600i | ||||
\(576\) | −0.161782 | + | 0.986827i | −0.00674092 | + | 0.0411178i | ||||
\(577\) | −0.411999 | + | 7.59887i | −0.0171517 | + | 0.316345i | 0.977350 | + | 0.211628i | \(0.0678765\pi\) |
−0.994502 | + | 0.104717i | \(0.966606\pi\) | |||||||
\(578\) | 15.9494 | − | 3.51073i | 0.663409 | − | 0.146027i | ||||
\(579\) | 7.91967 | − | 19.8769i | 0.329130 | − | 0.826054i | ||||
\(580\) | 0.643289 | + | 2.31692i | 0.0267111 | + | 0.0962047i | ||||
\(581\) | −2.06203 | − | 38.0320i | −0.0855476 | − | 1.57783i | ||||
\(582\) | 13.1555 | + | 1.43075i | 0.545313 | + | 0.0593064i | ||||
\(583\) | 15.4446 | + | 11.7407i | 0.639651 | + | 0.486250i | ||||
\(584\) | −1.08554 | + | 3.90975i | −0.0449199 | + | 0.161787i | ||||
\(585\) | 5.76993 | + | 1.27006i | 0.238557 | + | 0.0525104i | ||||
\(586\) | 1.39160 | − | 2.05245i | 0.0574864 | − | 0.0847860i | ||||
\(587\) | −27.7602 | − | 26.2959i | −1.14579 | − | 1.08535i | −0.995310 | − | 0.0967345i | \(-0.969160\pi\) |
−0.150478 | − | 0.988613i | \(-0.548081\pi\) | |||||||
\(588\) | −1.72572 | − | 3.25506i | −0.0711675 | − | 0.134236i | ||||
\(589\) | −13.5283 | −0.557426 | ||||||||
\(590\) | −0.865590 | − | 18.6008i | −0.0356358 | − | 0.765784i | ||||
\(591\) | −4.12705 | −0.169764 | ||||||||
\(592\) | −0.964347 | − | 1.81895i | −0.0396344 | − | 0.0747584i | ||||
\(593\) | 24.4613 | + | 23.1710i | 1.00451 | + | 0.951519i | 0.998825 | − | 0.0484652i | \(-0.0154330\pi\) |
0.00568121 | + | 0.999984i | \(0.498192\pi\) | |||||||
\(594\) | −1.40600 | + | 2.07370i | −0.0576891 | + | 0.0850850i | ||||
\(595\) | 6.32860 | + | 1.39303i | 0.259447 | + | 0.0571086i | ||||
\(596\) | −0.834342 | + | 3.00503i | −0.0341760 | + | 0.123091i | ||||
\(597\) | 20.3362 | + | 15.4592i | 0.832306 | + | 0.632702i | ||||
\(598\) | 13.8151 | + | 1.50248i | 0.564940 | + | 0.0614409i | ||||
\(599\) | 0.653482 | + | 12.0528i | 0.0267005 | + | 0.492462i | 0.981048 | + | 0.193764i | \(0.0620697\pi\) |
−0.954348 | + | 0.298698i | \(0.903448\pi\) | |||||||
\(600\) | 0.234607 | + | 0.844978i | 0.00957779 | + | 0.0344961i | ||||
\(601\) | 1.89651 | − | 4.75989i | 0.0773604 | − | 0.194160i | −0.885210 | − | 0.465191i | \(-0.845985\pi\) |
0.962570 | + | 0.271032i | \(0.0873648\pi\) | |||||||
\(602\) | −1.07536 | + | 0.236704i | −0.0438283 | + | 0.00964734i | ||||
\(603\) | 0.544065 | − | 10.0347i | 0.0221560 | − | 0.408644i | ||||
\(604\) | −3.11411 | + | 18.9952i | −0.126711 | + | 0.772906i | ||||
\(605\) | −6.42530 | − | 9.47661i | −0.261226 | − | 0.385279i | ||||
\(606\) | 1.28881 | + | 3.23467i | 0.0523543 | + | 0.131399i | ||||
\(607\) | −15.8314 | + | 12.0348i | −0.642579 | + | 0.488476i | −0.874989 | − | 0.484142i | \(-0.839132\pi\) |
0.232411 | + | 0.972618i | \(0.425339\pi\) | |||||||
\(608\) | −5.39995 | + | 3.24904i | −0.218997 | + | 0.131766i | ||||
\(609\) | −3.07243 | − | 1.03522i | −0.124501 | − | 0.0419493i | ||||
\(610\) | 8.27108 | − | 7.83479i | 0.334886 | − | 0.317221i | ||||
\(611\) | 3.28442 | + | 20.0341i | 0.132874 | + | 0.810493i | ||||
\(612\) | 0.812982 | − | 0.0884171i | 0.0328629 | − | 0.00357405i | ||||
\(613\) | 1.30218 | + | 0.783493i | 0.0525944 | + | 0.0316450i | 0.541608 | − | 0.840631i | \(-0.317816\pi\) |
−0.489014 | + | 0.872276i | \(0.662643\pi\) | |||||||
\(614\) | 10.6257 | + | 12.5095i | 0.428818 | + | 0.504843i | ||||
\(615\) | 12.4579 | + | 5.76365i | 0.502352 | + | 0.232413i | ||||
\(616\) | −7.43247 | + | 3.43863i | −0.299463 | + | 0.138546i | ||||
\(617\) | 17.2322 | − | 20.2874i | 0.693743 | − | 0.816738i | −0.296654 | − | 0.954985i | \(-0.595871\pi\) |
0.990398 | + | 0.138247i | \(0.0441468\pi\) | |||||||
\(618\) | −15.5535 | + | 5.24060i | −0.625655 | + | 0.210808i | ||||
\(619\) | 8.64398 | − | 16.3043i | 0.347431 | − | 0.655324i | −0.646791 | − | 0.762667i | \(-0.723889\pi\) |
0.994222 | + | 0.107343i | \(0.0342342\pi\) | |||||||
\(620\) | −2.43761 | + | 4.59781i | −0.0978967 | + | 0.184653i | ||||
\(621\) | −5.40364 | + | 1.82070i | −0.216841 | + | 0.0730622i | ||||
\(622\) | −7.87636 | + | 9.27277i | −0.315813 | + | 0.371804i | ||||
\(623\) | 49.7467 | − | 23.0153i | 1.99306 | − | 0.922087i | ||||
\(624\) | 2.21183 | + | 1.02330i | 0.0885440 | + | 0.0409648i | ||||
\(625\) | −18.5254 | − | 21.8098i | −0.741016 | − | 0.872392i | ||||
\(626\) | 26.3493 | + | 15.8539i | 1.05313 | + | 0.633648i | ||||
\(627\) | −15.6967 | + | 1.70711i | −0.626864 | + | 0.0681756i | ||||
\(628\) | 1.33437 | + | 8.13929i | 0.0532471 | + | 0.324793i | ||||
\(629\) | −1.22230 | + | 1.15782i | −0.0487362 | + | 0.0461653i | ||||
\(630\) | −7.50925 | − | 2.53016i | −0.299176 | − | 0.100804i | ||||
\(631\) | 40.6418 | − | 24.4534i | 1.61792 | − | 0.973472i | 0.639010 | − | 0.769198i | \(-0.279344\pi\) |
0.978914 | − | 0.204274i | \(-0.0654834\pi\) | |||||||
\(632\) | 4.63998 | − | 3.52722i | 0.184568 | − | 0.140305i | ||||
\(633\) | −9.44290 | − | 23.6999i | −0.375322 | − | 0.941986i | ||||
\(634\) | −4.35259 | − | 6.41959i | −0.172863 | − | 0.254954i | ||||
\(635\) | −6.52848 | + | 39.8220i | −0.259075 | + | 1.58029i | ||||
\(636\) | −0.419222 | + | 7.73210i | −0.0166232 | + | 0.306598i | ||||
\(637\) | −8.76881 | + | 1.93016i | −0.347433 | + | 0.0764758i | ||||
\(638\) | −0.919821 | + | 2.30858i | −0.0364161 | + | 0.0913974i | ||||
\(639\) | 1.13225 | + | 4.07801i | 0.0447912 | + | 0.161323i | ||||
\(640\) | 0.131246 | + | 2.42069i | 0.00518794 | + | 0.0956860i | ||||
\(641\) | −5.18822 | − | 0.564253i | −0.204922 | − | 0.0222866i | 0.00508212 | − | 0.999987i | \(-0.498382\pi\) |
−0.210004 | + | 0.977700i | \(0.567348\pi\) | |||||||
\(642\) | 15.4253 | + | 11.7260i | 0.608788 | + | 0.462788i | ||||
\(643\) | −7.28581 | + | 26.2411i | −0.287324 | + | 1.03485i | 0.669173 | + | 0.743107i | \(0.266649\pi\) |
−0.956497 | + | 0.291742i | \(0.905765\pi\) | |||||||
\(644\) | −18.2027 | − | 4.00671i | −0.717285 | − | 0.157886i | ||||
\(645\) | −0.458289 | + | 0.675925i | −0.0180451 | + | 0.0266145i | ||||
\(646\) | 3.74153 | + | 3.54417i | 0.147209 | + | 0.139443i | ||||
\(647\) | −11.2250 | − | 21.1726i | −0.441300 | − | 0.832380i | −0.999995 | − | 0.00300736i | \(-0.999043\pi\) |
0.558695 | − | 0.829373i | \(-0.311302\pi\) | |||||||
\(648\) | −1.00000 | −0.0392837 | ||||||||
\(649\) | 10.9215 | − | 15.8452i | 0.428706 | − | 0.621977i | ||||
\(650\) | 2.13718 | 0.0838269 | ||||||||
\(651\) | −3.28670 | − | 6.19936i | −0.128816 | − | 0.242972i | ||||
\(652\) | 17.7166 | + | 16.7821i | 0.693838 | + | 0.657238i | ||||
\(653\) | 23.4792 | − | 34.6292i | 0.918813 | − | 1.35515i | −0.0159494 | − | 0.999873i | \(-0.505077\pi\) |
0.934762 | − | 0.355274i | \(-0.115613\pi\) | |||||||
\(654\) | −2.25774 | − | 0.496967i | −0.0882848 | − | 0.0194330i | ||||
\(655\) | −3.66620 | + | 13.2044i | −0.143250 | + | 0.515941i | ||||
\(656\) | 4.50766 | + | 3.42664i | 0.175995 | + | 0.133788i | ||||
\(657\) | −4.03387 | − | 0.438710i | −0.157376 | − | 0.0171157i | ||||
\(658\) | −1.47415 | − | 27.1891i | −0.0574683 | − | 1.05994i | ||||
\(659\) | −6.22641 | − | 22.4255i | −0.242546 | − | 0.873573i | −0.980136 | − | 0.198324i | \(-0.936450\pi\) |
0.737590 | − | 0.675249i | \(-0.235964\pi\) | |||||||
\(660\) | −2.24812 | + | 5.64234i | −0.0875078 | + | 0.219628i | ||||
\(661\) | −32.6856 | + | 7.19464i | −1.27132 | + | 0.279839i | −0.798863 | − | 0.601513i | \(-0.794565\pi\) |
−0.472460 | + | 0.881352i | \(0.656634\pi\) | |||||||
\(662\) | −0.256773 | + | 4.73589i | −0.00997975 | + | 0.184066i | ||||
\(663\) | 0.322428 | − | 1.96673i | 0.0125221 | − | 0.0763813i | ||||
\(664\) | −6.53917 | − | 9.64455i | −0.253769 | − | 0.374281i | ||||
\(665\) | −18.4838 | − | 46.3910i | −0.716773 | − | 1.79896i | ||||
\(666\) | 1.63897 | − | 1.24592i | 0.0635090 | − | 0.0482783i | ||||
\(667\) | −4.84625 | + | 2.91589i | −0.187648 | + | 0.112904i | ||||
\(668\) | −18.0905 | − | 6.09541i | −0.699944 | − | 0.235839i | ||||
\(669\) | 12.8099 | − | 12.1341i | 0.495258 | − | 0.469133i | ||||
\(670\) | −3.94137 | − | 24.0413i | −0.152268 | − | 0.928796i | ||||
\(671\) | 11.7052 | − | 1.27302i | 0.451874 | − | 0.0491442i | ||||
\(672\) | −2.80079 | − | 1.68518i | −0.108043 | − | 0.0650071i | ||||
\(673\) | 27.2484 | + | 32.0793i | 1.05035 | + | 1.23656i | 0.970839 | + | 0.239731i | \(0.0770591\pi\) |
0.0795081 | + | 0.996834i | \(0.474665\pi\) | |||||||
\(674\) | 15.5402 | + | 7.18967i | 0.598586 | + | 0.276936i | ||||
\(675\) | −0.795892 | + | 0.368219i | −0.0306339 | + | 0.0141727i | ||||
\(676\) | −4.57098 | + | 5.38137i | −0.175807 | + | 0.206976i | ||||
\(677\) | −40.9695 | + | 13.8042i | −1.57459 | + | 0.530540i | −0.965016 | − | 0.262191i | \(-0.915555\pi\) |
−0.609571 | + | 0.792731i | \(0.708658\pi\) | |||||||
\(678\) | 3.21209 | − | 6.05864i | 0.123360 | − | 0.232681i | ||||
\(679\) | −20.2608 | + | 38.2160i | −0.777539 | + | 1.46659i | ||||
\(680\) | 1.87871 | − | 0.633011i | 0.0720452 | − | 0.0242749i | ||||
\(681\) | 10.2527 | − | 12.0704i | 0.392885 | − | 0.462540i | ||||
\(682\) | −4.88118 | + | 2.25828i | −0.186910 | + | 0.0864738i | ||||
\(683\) | 3.68386 | + | 1.70433i | 0.140959 | + | 0.0652145i | 0.489101 | − | 0.872227i | \(-0.337325\pi\) |
−0.348142 | + | 0.937442i | \(0.613187\pi\) | |||||||
\(684\) | −4.07986 | − | 4.80318i | −0.155997 | − | 0.183654i | ||||
\(685\) | −34.9987 | − | 21.0580i | −1.33723 | − | 0.804585i | ||||
\(686\) | −10.7747 | + | 1.17181i | −0.411378 | + | 0.0447401i | ||||
\(687\) | −0.914629 | − | 5.57899i | −0.0348953 | − | 0.212852i | ||||
\(688\) | −0.244562 | + | 0.231662i | −0.00932386 | + | 0.00883202i | ||||
\(689\) | 17.8835 | + | 6.02566i | 0.681308 | + | 0.229559i | ||||
\(690\) | −11.8446 | + | 7.12668i | −0.450917 | + | 0.271308i | ||||
\(691\) | 28.2762 | − | 21.4950i | 1.07568 | − | 0.817709i | 0.0916622 | − | 0.995790i | \(-0.470782\pi\) |
0.984016 | + | 0.178081i | \(0.0569889\pi\) | |||||||
\(692\) | 3.17439 | + | 7.96711i | 0.120672 | + | 0.302864i | ||||
\(693\) | −4.59577 | − | 6.77825i | −0.174579 | − | 0.257484i | ||||
\(694\) | 0.682461 | − | 4.16282i | 0.0259058 | − | 0.158019i | ||||
\(695\) | 1.20472 | − | 22.2197i | 0.0456976 | − | 0.842842i | ||||
\(696\) | −0.968693 | + | 0.213226i | −0.0367182 | + | 0.00808229i | ||||
\(697\) | 1.71390 | − | 4.30157i | 0.0649186 | − | 0.162933i | ||||
\(698\) | −1.67393 | − | 6.02896i | −0.0633593 | − | 0.228200i | ||||
\(699\) | −1.12153 | − | 20.6854i | −0.0424202 | − | 0.782394i | ||||
\(700\) | −2.84964 | − | 0.309917i | −0.107706 | − | 0.0117137i | ||||
\(701\) | 32.7884 | + | 24.9251i | 1.23840 | + | 0.941409i | 0.999560 | − | 0.0296493i | \(-0.00943905\pi\) |
0.238842 | + | 0.971058i | \(0.423232\pi\) | |||||||
\(702\) | −0.651986 | + | 2.34824i | −0.0246076 | + | 0.0886287i | ||||
\(703\) | 12.6711 | + | 2.78913i | 0.477901 | + | 0.105194i | ||||
\(704\) | −1.40600 | + | 2.07370i | −0.0529908 | + | 0.0781556i | ||||
\(705\) | −14.6612 | − | 13.8878i | −0.552173 | − | 0.523046i | ||||
\(706\) | 16.9835 | + | 32.0342i | 0.639181 | + | 1.20562i | ||||
\(707\) | −11.3814 | −0.428042 | ||||||||
\(708\) | 7.68092 | + | 0.0588669i | 0.288667 | + | 0.00221236i | ||||
\(709\) | −34.4685 | −1.29449 | −0.647247 | − | 0.762281i | \(-0.724080\pi\) | ||||
−0.647247 | + | 0.762281i | \(0.724080\pi\) | |||||||
\(710\) | 4.80589 | + | 9.06488i | 0.180362 | + | 0.340199i | ||||
\(711\) | 4.23142 | + | 4.00821i | 0.158691 | + | 0.150320i | ||||
\(712\) | 9.41060 | − | 13.8796i | 0.352677 | − | 0.520160i | ||||
\(713\) | −11.9544 | − | 2.63135i | −0.447694 | − | 0.0985450i | ||||
\(714\) | −0.715115 | + | 2.57561i | −0.0267625 | + | 0.0963898i | ||||
\(715\) | 11.7839 | + | 8.95785i | 0.440691 | + | 0.335005i | ||||
\(716\) | −21.8582 | − | 2.37722i | −0.816879 | − | 0.0888410i | ||||
\(717\) | 0.877196 | + | 16.1789i | 0.0327595 | + | 0.604213i | ||||
\(718\) | 3.93464 | + | 14.1713i | 0.146839 | + | 0.528868i | ||||
\(719\) | 13.4660 | − | 33.7971i | 0.502196 | − | 1.26042i | −0.431423 | − | 0.902150i | \(-0.641988\pi\) |
0.933619 | − | 0.358267i | \(-0.116632\pi\) | |||||||
\(720\) | −2.36756 | + | 0.521140i | −0.0882339 | + | 0.0194217i | ||||
\(721\) | 2.90443 | − | 53.5691i | 0.108167 | − | 1.99502i | ||||
\(722\) | 3.35143 | − | 20.4428i | 0.124727 | − | 0.760804i | ||||
\(723\) | 16.1903 | + | 23.8789i | 0.602125 | + | 0.888067i | ||||
\(724\) | −5.10229 | − | 12.8058i | −0.189625 | − | 0.475923i | ||||
\(725\) | −0.692461 | + | 0.526395i | −0.0257174 | + | 0.0195498i | ||||
\(726\) | 4.04686 | − | 2.43492i | 0.150193 | − | 0.0903682i | ||||
\(727\) | 11.8559 | + | 3.99472i | 0.439712 | + | 0.148156i | 0.530445 | − | 0.847719i | \(-0.322025\pi\) |
−0.0907339 | + | 0.995875i | \(0.528921\pi\) | |||||||
\(728\) | −5.78328 | + | 5.47821i | −0.214343 | + | 0.203036i | ||||
\(729\) | −0.161782 | − | 0.986827i | −0.00599193 | − | 0.0365491i | ||||
\(730\) | −9.77907 | + | 1.06354i | −0.361940 | + | 0.0393633i | ||||
\(731\) | 0.236047 | + | 0.142025i | 0.00873052 | + | 0.00525298i | ||||
\(732\) | 3.04240 | + | 3.58179i | 0.112450 | + | 0.132387i | ||||
\(733\) | 9.03113 | + | 4.17825i | 0.333572 | + | 0.154327i | 0.579524 | − | 0.814955i | \(-0.303238\pi\) |
−0.245952 | + | 0.969282i | \(0.579100\pi\) | |||||||
\(734\) | −23.8018 | + | 11.0119i | −0.878541 | + | 0.406456i | ||||
\(735\) | 5.78209 | − | 6.80721i | 0.213276 | − | 0.251088i | ||||
\(736\) | −5.40364 | + | 1.82070i | −0.199181 | + | 0.0671119i | ||||
\(737\) | 11.7936 | − | 22.2450i | 0.434421 | − | 0.819406i | ||||
\(738\) | −2.65224 | + | 5.00265i | −0.0976302 | + | 0.184150i | ||||
\(739\) | 26.0919 | − | 8.79137i | 0.959805 | − | 0.323396i | 0.204571 | − | 0.978852i | \(-0.434420\pi\) |
0.755233 | + | 0.655456i | \(0.227523\pi\) | |||||||
\(740\) | 3.23108 | − | 3.80392i | 0.118777 | − | 0.139835i | ||||
\(741\) | −13.9390 | + | 6.44889i | −0.512063 | + | 0.236906i | ||||
\(742\) | −22.9715 | − | 10.6277i | −0.843309 | − | 0.390156i | ||||
\(743\) | −15.1753 | − | 17.8657i | −0.556727 | − | 0.655429i | 0.409746 | − | 0.912200i | \(-0.365617\pi\) |
−0.966472 | + | 0.256770i | \(0.917342\pi\) | |||||||
\(744\) | −1.83938 | − | 1.10672i | −0.0674350 | − | 0.0405743i | ||||
\(745\) | −7.51617 | + | 0.817433i | −0.275371 | + | 0.0299484i | ||||
\(746\) | −1.06555 | − | 6.49954i | −0.0390124 | − | 0.237965i | ||||
\(747\) | 8.45958 | − | 8.01334i | 0.309520 | − | 0.293193i | ||||
\(748\) | 1.94161 | + | 0.654206i | 0.0709924 | + | 0.0239201i | ||||
\(749\) | −54.2687 | + | 32.6524i | −1.98294 | + | 1.19309i | ||||
\(750\) | 7.95718 | − | 6.04889i | 0.290555 | − | 0.220874i | ||||
\(751\) | −9.21188 | − | 23.1201i | −0.336146 | − | 0.843664i | −0.995754 | − | 0.0920538i | \(-0.970657\pi\) |
0.659608 | − | 0.751610i | \(-0.270722\pi\) | |||||||
\(752\) | −4.67485 | − | 6.89489i | −0.170474 | − | 0.251431i | ||||
\(753\) | −0.835370 | + | 5.09553i | −0.0304426 | + | 0.185691i | ||||
\(754\) | −0.130870 | + | 2.41375i | −0.00476599 | + | 0.0879035i | ||||
\(755\) | −45.5728 | + | 10.0313i | −1.65856 | + | 0.365078i | ||||
\(756\) | 1.20986 | − | 3.03652i | 0.0440022 | − | 0.110437i | ||||
\(757\) | −0.762796 | − | 2.74734i | −0.0277243 | − | 0.0998539i | 0.948393 | − | 0.317096i | \(-0.102708\pi\) |
−0.976118 | + | 0.217242i | \(0.930294\pi\) | |||||||
\(758\) | −0.650037 | − | 11.9892i | −0.0236104 | − | 0.435468i | ||||
\(759\) | −14.2024 | − | 1.54461i | −0.515516 | − | 0.0560657i | ||||
\(760\) | −12.1624 | − | 9.24565i | −0.441178 | − | 0.335375i | ||||
\(761\) | 5.18618 | − | 18.6789i | 0.187999 | − | 0.677111i | −0.808114 | − | 0.589026i | \(-0.799511\pi\) |
0.996113 | − | 0.0880851i | \(-0.0280747\pi\) | |||||||
\(762\) | −16.2567 | − | 3.57837i | −0.588918 | − | 0.129631i | ||||
\(763\) | 4.24061 | − | 6.25443i | 0.153520 | − | 0.226426i | ||||
\(764\) | −0.894746 | − | 0.847549i | −0.0323708 | − | 0.0306632i | ||||
\(765\) | 0.928613 | + | 1.75155i | 0.0335741 | + | 0.0633274i | ||||
\(766\) | −0.150234 | −0.00542816 | ||||||||
\(767\) | 5.14609 | − | 17.9983i | 0.185815 | − | 0.649880i | ||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | −2.83356 | − | 5.34466i | −0.102181 | − | 0.192733i | 0.827151 | − | 0.561980i | \(-0.189960\pi\) |
−0.929331 | + | 0.369247i | \(0.879616\pi\) | |||||||
\(770\) | −14.4132 | − | 13.6529i | −0.519415 | − | 0.492016i | ||||
\(771\) | −5.87501 | + | 8.66499i | −0.211583 | + | 0.312062i | ||||
\(772\) | 20.8963 | + | 4.59962i | 0.752074 | + | 0.165544i | ||||
\(773\) | 4.70154 | − | 16.9334i | 0.169103 | − | 0.609053i | −0.829611 | − | 0.558342i | \(-0.811438\pi\) |
0.998713 | − | 0.0507108i | \(-0.0161487\pi\) | |||||||
\(774\) | −0.268176 | − | 0.203862i | −0.00963938 | − | 0.00732767i | ||||
\(775\) | −1.87146 | − | 0.203534i | −0.0672249 | − | 0.00731115i | ||||
\(776\) | 0.716424 | + | 13.2137i | 0.0257181 | + | 0.474343i | ||||
\(777\) | 1.80032 | + | 6.48417i | 0.0645861 | + | 0.232618i | ||||
\(778\) | 1.81764 | − | 4.56194i | 0.0651657 | − | 0.163554i | ||||
\(779\) | −34.8494 | + | 7.67092i | −1.24861 | + | 0.274839i | ||||
\(780\) | −0.319856 | + | 5.89939i | −0.0114527 | + | 0.211232i | ||||
\(781\) | −1.71547 | + | 10.4639i | −0.0613843 | + | 0.374428i | ||||
\(782\) | 2.61685 | + | 3.85957i | 0.0935785 | + | 0.138018i | ||||
\(783\) | −0.367134 | − | 0.921436i | −0.0131203 | − | 0.0329294i | ||||
\(784\) | 2.93298 | − | 2.22960i | 0.104749 | − | 0.0796285i | ||||
\(785\) | −17.1329 | + | 10.3085i | −0.611498 | + | 0.367926i | ||||
\(786\) | −5.35698 | − | 1.80498i | −0.191077 | − | 0.0643813i | ||||
\(787\) | −3.69071 | + | 3.49602i | −0.131559 | + | 0.124620i | −0.750651 | − | 0.660699i | \(-0.770260\pi\) |
0.619091 | + | 0.785319i | \(0.287501\pi\) | |||||||
\(788\) | −0.667682 | − | 4.07268i | −0.0237852 | − | 0.145083i | ||||
\(789\) | −4.51560 | + | 0.491101i | −0.160760 | + | 0.0174837i | ||||
\(790\) | 12.1070 | + | 7.28453i | 0.430747 | + | 0.259172i | ||||
\(791\) | 14.5110 | + | 17.0837i | 0.515952 | + | 0.607426i | ||||
\(792\) | −2.27385 | − | 1.05199i | −0.0807977 | − | 0.0373810i | ||||
\(793\) | 10.3945 | − | 4.80902i | 0.369120 | − | 0.170773i | ||||
\(794\) | −18.9600 | + | 22.3214i | −0.672865 | + | 0.792158i | ||||
\(795\) | −17.7893 | + | 5.99393i | −0.630923 | + | 0.212583i | ||||
\(796\) | −11.9655 | + | 22.5693i | −0.424106 | + | 0.799949i | ||||
\(797\) | −9.98277 | + | 18.8295i | −0.353608 | + | 0.666975i | −0.994960 | − | 0.100272i | \(-0.968029\pi\) |
0.641352 | + | 0.767246i | \(0.278374\pi\) | |||||||
\(798\) | 19.5210 | − | 6.57739i | 0.691036 | − | 0.232837i | ||||
\(799\) | −4.41020 | + | 5.19209i | −0.156022 | + | 0.183683i | ||||
\(800\) | −0.795892 | + | 0.368219i | −0.0281390 | + | 0.0130185i | ||||
\(801\) | 15.2192 | + | 7.04116i | 0.537745 | + | 0.248787i | ||||
\(802\) | −5.54075 | − | 6.52308i | −0.195651 | − | 0.230338i | ||||
\(803\) | −8.71089 | − | 5.24117i | −0.307401 | − | 0.184957i | ||||
\(804\) | 9.99052 | − | 1.08653i | 0.352338 | − | 0.0383191i | ||||
\(805\) | −7.30996 | − | 44.5888i | −0.257642 | − | 1.57155i | ||||
\(806\) | −3.79810 | + | 3.59775i | −0.133782 | + | 0.126725i | ||||
\(807\) | −12.2245 | − | 4.11892i | −0.430324 | − | 0.144993i | ||||
\(808\) | −2.98355 | + | 1.79514i | −0.104961 | + | 0.0631529i | ||||
\(809\) | −19.5903 | + | 14.8922i | −0.688759 | + | 0.523581i | −0.890000 | − | 0.455961i | \(-0.849296\pi\) |
0.201241 | + | 0.979542i | \(0.435503\pi\) | |||||||
\(810\) | −0.897304 | − | 2.25206i | −0.0315280 | − | 0.0791294i | ||||
\(811\) | 12.2477 | + | 18.0640i | 0.430074 | + | 0.634312i | 0.979551 | − | 0.201197i | \(-0.0644832\pi\) |
−0.549477 | + | 0.835509i | \(0.685173\pi\) | |||||||
\(812\) | 0.524520 | − | 3.19943i | 0.0184070 | − | 0.112278i | ||||
\(813\) | −0.887465 | + | 16.3683i | −0.0311248 | + | 0.574062i | ||||
\(814\) | 5.03748 | − | 1.10883i | 0.176564 | − | 0.0388646i | ||||
\(815\) | −21.8971 | + | 54.9577i | −0.767023 | + | 1.92508i | ||||
\(816\) | 0.218778 | + | 0.787968i | 0.00765877 | + | 0.0275844i | ||||
\(817\) | −0.114934 | − | 2.11982i | −0.00402101 | − | 0.0741632i | ||||
\(818\) | 5.49962 | + | 0.598120i | 0.192290 | + | 0.0209128i | ||||
\(819\) | −6.34168 | − | 4.82082i | −0.221596 | − | 0.168453i | ||||
\(820\) | −3.67226 | + | 13.2263i | −0.128241 | + | 0.461882i | ||||
\(821\) | 13.9864 | + | 3.07865i | 0.488130 | + | 0.107446i | 0.452214 | − | 0.891909i | \(-0.350634\pi\) |
0.0359158 | + | 0.999355i | \(0.488565\pi\) | |||||||
\(822\) | 9.45529 | − | 13.9455i | 0.329791 | − | 0.486406i | ||||
\(823\) | −7.28087 | − | 6.89681i | −0.253795 | − | 0.240408i | 0.550215 | − | 0.835023i | \(-0.314546\pi\) |
−0.804010 | + | 0.594615i | \(0.797304\pi\) | |||||||
\(824\) | −7.68785 | − | 14.5008i | −0.267819 | − | 0.505160i | ||||
\(825\) | −2.19710 | −0.0764933 | ||||||||
\(826\) | −9.47159 | + | 23.2521i | −0.329559 | + | 0.809042i | ||||
\(827\) | 7.60448 | 0.264434 | 0.132217 | − | 0.991221i | \(-0.457790\pi\) | ||||
0.132217 | + | 0.991221i | \(0.457790\pi\) | |||||||
\(828\) | −2.67093 | − | 5.03790i | −0.0928211 | − | 0.175079i | ||||
\(829\) | 19.8195 | + | 18.7740i | 0.688359 | + | 0.652048i | 0.949686 | − | 0.313202i | \(-0.101402\pi\) |
−0.261328 | + | 0.965250i | \(0.584160\pi\) | |||||||
\(830\) | 15.8525 | − | 23.3807i | 0.550249 | − | 0.811557i | ||||
\(831\) | 18.0190 | + | 3.96627i | 0.625071 | + | 0.137588i | ||||
\(832\) | −0.651986 | + | 2.34824i | −0.0226036 | + | 0.0814107i | ||||
\(833\) | −2.39852 | − | 1.82331i | −0.0831039 | − | 0.0631740i | ||||
\(834\) | 9.12529 | + | 0.992435i | 0.315983 | + | 0.0343652i | ||||
\(835\) | −2.50546 | − | 46.2105i | −0.0867050 | − | 1.59918i | ||||
\(836\) | −4.22406 | − | 15.2137i | −0.146092 | − | 0.526177i | ||||
\(837\) | 0.794561 | − | 1.99420i | 0.0274640 | − | 0.0689295i | ||||
\(838\) | −5.04886 | + | 1.11134i | −0.174410 | + | 0.0383905i | ||||
\(839\) | −2.83351 | + | 52.2609i | −0.0978235 | + | 1.80425i | 0.379155 | + | 0.925333i | \(0.376215\pi\) |
−0.476979 | + | 0.878915i | \(0.658268\pi\) | |||||||
\(840\) | 1.28197 | − | 7.81966i | 0.0442321 | − | 0.269804i | ||||
\(841\) | 15.7223 | + | 23.1887i | 0.542149 | + | 0.799609i | ||||
\(842\) | −2.29100 | − | 5.74996i | −0.0789529 | − | 0.198157i | ||||
\(843\) | 11.8181 | − | 8.98390i | 0.407037 | − | 0.309422i | ||||
\(844\) | 21.8600 | − | 13.1527i | 0.752452 | − | 0.452735i | ||||
\(845\) | −16.2208 | − | 5.46541i | −0.558011 | − | 0.188016i | ||||
\(846\) | 6.04776 | − | 5.72874i | 0.207926 | − | 0.196958i | ||||
\(847\) | 2.49754 | + | 15.2343i | 0.0858164 | + | 0.523457i | ||||
\(848\) | −7.69806 | + | 0.837214i | −0.264352 | + | 0.0287501i | ||||
\(849\) | −15.0878 | − | 9.07801i | −0.517811 | − | 0.311557i | ||||
\(850\) | 0.464268 | + | 0.546579i | 0.0159243 | + | 0.0187475i | ||||
\(851\) | 10.6544 | + | 4.92924i | 0.365228 | + | 0.168972i | ||||
\(852\) | −3.84111 | + | 1.77709i | −0.131594 | + | 0.0608820i | ||||
\(853\) | 10.8488 | − | 12.7722i | 0.371455 | − | 0.437311i | −0.544396 | − | 0.838828i | \(-0.683241\pi\) |
0.915852 | + | 0.401517i | \(0.131517\pi\) | |||||||
\(854\) | −14.5571 | + | 4.90484i | −0.498132 | + | 0.167840i | ||||
\(855\) | 7.15619 | − | 13.4980i | 0.244736 | − | 0.461622i | ||||
\(856\) | −9.07599 | + | 17.1191i | −0.310211 | + | 0.585120i | ||||
\(857\) | −29.0164 | + | 9.77676i | −0.991181 | + | 0.333968i | −0.767748 | − | 0.640752i | \(-0.778623\pi\) |
−0.223433 | + | 0.974719i | \(0.571726\pi\) | |||||||
\(858\) | −3.95286 | + | 4.65367i | −0.134948 | + | 0.158874i | ||||
\(859\) | −9.95520 | + | 4.60577i | −0.339667 | + | 0.157147i | −0.582305 | − | 0.812970i | \(-0.697849\pi\) |
0.242638 | + | 0.970117i | \(0.421987\pi\) | |||||||
\(860\) | −0.741164 | − | 0.342899i | −0.0252735 | − | 0.0116928i | ||||
\(861\) | −11.9818 | − | 14.1061i | −0.408339 | − | 0.480734i | ||||
\(862\) | −17.7147 | − | 10.6586i | −0.603365 | − | 0.363033i | ||||
\(863\) | 38.7318 | − | 4.21233i | 1.31844 | − | 0.143389i | 0.578293 | − | 0.815829i | \(-0.303719\pi\) |
0.740152 | + | 0.672440i | \(0.234754\pi\) | |||||||
\(864\) | −0.161782 | − | 0.986827i | −0.00550394 | − | 0.0335725i | ||||
\(865\) | −15.0940 | + | 14.2978i | −0.513213 | + | 0.486141i | ||||
\(866\) | 23.8585 | + | 8.03887i | 0.810745 | + | 0.273172i | ||||
\(867\) | −13.9935 | + | 8.41964i | −0.475246 | + | 0.285946i | ||||
\(868\) | 5.58597 | − | 4.24634i | 0.189600 | − | 0.144130i | ||||
\(869\) | 5.40499 | + | 13.5655i | 0.183352 | + | 0.460178i | ||||
\(870\) | −1.34941 | − | 1.99023i | −0.0457493 | − | 0.0674751i | ||||
\(871\) | 3.96224 | − | 24.1686i | 0.134255 | − | 0.818921i | ||||
\(872\) | 0.125158 | − | 2.30840i | 0.00423838 | − | 0.0781724i | ||||
\(873\) | −12.9237 | + | 2.84472i | −0.437401 | + | 0.0962792i | ||||
\(874\) | 13.3009 | − | 33.3829i | 0.449911 | − | 1.12919i | ||||
\(875\) | 8.74050 | + | 31.4804i | 0.295483 | + | 1.06423i | ||||
\(876\) | −0.219677 | − | 4.05170i | −0.00742220 | − | 0.136894i | ||||
\(877\) | 11.2285 | + | 1.22117i | 0.379158 | + | 0.0412360i | 0.295714 | − | 0.955276i | \(-0.404442\pi\) |
0.0834442 | + | 0.996512i | \(0.473408\pi\) | |||||||
\(878\) | 29.9171 | + | 22.7424i | 1.00965 | + | 0.767518i | ||||
\(879\) | −0.663400 | + | 2.38935i | −0.0223759 | + | 0.0805908i | ||||
\(880\) | −5.93172 | − | 1.30567i | −0.199958 | − | 0.0440141i | ||||
\(881\) | 1.28875 | − | 1.90076i | 0.0434190 | − | 0.0640382i | −0.805360 | − | 0.592786i | \(-0.798028\pi\) |
0.848779 | + | 0.528748i | \(0.177338\pi\) | |||||||
\(882\) | 2.67473 | + | 2.53364i | 0.0900628 | + | 0.0853120i | ||||
\(883\) | −21.6387 | − | 40.8149i | −0.728199 | − | 1.37353i | −0.919930 | − | 0.392082i | \(-0.871755\pi\) |
0.191731 | − | 0.981447i | \(-0.438590\pi\) | |||||||
\(884\) | 1.99298 | 0.0670312 | ||||||||
\(885\) | 6.75955 | + | 17.3507i | 0.227220 | + | 0.583239i | ||||
\(886\) | −33.3874 | −1.12167 | ||||||||
\(887\) | 0.938543 | + | 1.77028i | 0.0315132 | + | 0.0594402i | 0.898769 | − | 0.438423i | \(-0.144463\pi\) |
−0.867255 | + | 0.497863i | \(0.834118\pi\) | |||||||
\(888\) | 1.49466 | + | 1.41582i | 0.0501575 | + | 0.0475117i | ||||
\(889\) | 30.5341 | − | 45.0345i | 1.02408 | − | 1.51041i | ||||
\(890\) | 39.7019 | + | 8.73905i | 1.33081 | + | 0.292934i | ||||
\(891\) | 0.670268 | − | 2.41409i | 0.0224548 | − | 0.0808750i | ||||
\(892\) | 14.0467 | + | 10.6780i | 0.470318 | + | 0.357527i | ||||
\(893\) | 52.1901 | + | 5.67602i | 1.74648 | + | 0.189941i | ||||
\(894\) | −0.168843 | − | 3.11413i | −0.00564697 | − | 0.104152i | ||||
\(895\) | −14.2598 | − | 51.3591i | −0.476652 | − | 1.71675i | ||||
\(896\) | 1.20986 | − | 3.03652i | 0.0404186 | − | 0.101443i | ||||
\(897\) | −13.5716 | + | 2.98734i | −0.453143 | + | 0.0997444i | ||||
\(898\) | −1.13755 | + | 20.9809i | −0.0379605 | + | 0.700141i | ||||
\(899\) | 0.344472 | − | 2.10119i | 0.0114888 | − | 0.0700785i | ||||
\(900\) | −0.492129 | − | 0.725836i | −0.0164043 | − | 0.0241945i | ||||
\(901\) | 2.34387 | + | 5.88266i | 0.0780855 | + | 0.195980i | ||||
\(902\) | −11.2935 | + | 8.58513i | −0.376034 | + | 0.285854i | ||||
\(903\) | 0.943487 | − | 0.567677i | 0.0313973 | − | 0.0188911i | ||||
\(904\) | 6.49849 | + | 2.18960i | 0.216136 | + | 0.0728249i | ||||
\(905\) | 24.2611 | − | 22.9813i | 0.806466 | − | 0.763926i | ||||
\(906\) | −3.11411 | − | 18.9952i | −0.103459 | − | 0.631075i | ||||
\(907\) | −19.5062 | + | 2.12143i | −0.647693 | + | 0.0704408i | −0.426068 | − | 0.904691i | \(-0.640102\pi\) |
−0.221625 | + | 0.975132i | \(0.571136\pi\) | |||||||
\(908\) | 13.5701 | + | 8.16487i | 0.450340 | + | 0.270961i | ||||
\(909\) | −2.25418 | − | 2.65383i | −0.0747664 | − | 0.0880218i | ||||
\(910\) | −17.5266 | − | 8.10869i | −0.581003 | − | 0.268800i | ||||
\(911\) | −38.2312 | + | 17.6876i | −1.26666 | + | 0.586018i | −0.934082 | − | 0.357059i | \(-0.883780\pi\) |
−0.332575 | + | 0.943077i | \(0.607917\pi\) | |||||||
\(912\) | 4.07986 | − | 4.80318i | 0.135098 | − | 0.159049i | ||||
\(913\) | 27.6658 | − | 9.32170i | 0.915605 | − | 0.308503i | ||||
\(914\) | −10.1368 | + | 19.1199i | −0.335294 | + | 0.632432i | ||||
\(915\) | −5.33646 | + | 10.0656i | −0.176418 | + | 0.332759i | ||||
\(916\) | 5.35752 | − | 1.80516i | 0.177018 | − | 0.0596442i | ||||
\(917\) | 11.9620 | − | 14.0828i | 0.395021 | − | 0.465055i | ||||
\(918\) | −0.742193 | + | 0.343375i | −0.0244960 | + | 0.0113331i | ||||
\(919\) | −0.405480 | − | 0.187595i | −0.0133755 | − | 0.00618818i | 0.413190 | − | 0.910645i | \(-0.364415\pi\) |
−0.426565 | + | 0.904457i | \(0.640277\pi\) | |||||||
\(920\) | −8.94904 | − | 10.5356i | −0.295041 | − | 0.347349i | ||||
\(921\) | −14.0638 | − | 8.46189i | −0.463417 | − | 0.278829i | ||||
\(922\) | 16.5619 | − | 1.80122i | 0.545437 | − | 0.0593199i | ||||
\(923\) | 1.66868 | + | 10.1785i | 0.0549252 | + | 0.335029i | ||||
\(924\) | 5.94545 | − | 5.63183i | 0.195591 | − | 0.185273i | ||||
\(925\) | 1.71092 | + | 0.576475i | 0.0562546 | + | 0.0189544i | ||||
\(926\) | −1.24383 | + | 0.748391i | −0.0408750 | + | 0.0245936i | ||||
\(927\) | 13.0660 | − | 9.93254i | 0.429145 | − | 0.326227i | ||||
\(928\) | −0.367134 | − | 0.921436i | −0.0120518 | − | 0.0302476i | ||||
\(929\) | −22.2849 | − | 32.8678i | −0.731144 | − | 1.07836i | −0.993550 | − | 0.113399i | \(-0.963826\pi\) |
0.262406 | − | 0.964958i | \(-0.415484\pi\) | |||||||
\(930\) | 0.841917 | − | 5.13547i | 0.0276075 | − | 0.168399i | ||||
\(931\) | −1.25700 | + | 23.1841i | −0.0411967 | + | 0.759828i | ||||
\(932\) | 20.2315 | − | 4.45328i | 0.662704 | − | 0.145872i | ||||
\(933\) | 4.50325 | − | 11.3023i | 0.147430 | − | 0.370021i | ||||
\(934\) | 4.46193 | + | 16.0704i | 0.145999 | + | 0.525840i | ||||
\(935\) | 0.268905 | + | 4.95966i | 0.00879413 | + | 0.162198i | ||||
\(936\) | −2.42279 | − | 0.263494i | −0.0791913 | − | 0.00861257i | ||||
\(937\) | 44.0344 | + | 33.4741i | 1.43854 | + | 1.09355i | 0.978640 | + | 0.205581i | \(0.0659086\pi\) |
0.459902 | + | 0.887970i | \(0.347885\pi\) | |||||||
\(938\) | −8.78785 | + | 31.6510i | −0.286933 | + | 1.03344i | ||||
\(939\) | −30.0322 | − | 6.61058i | −0.980063 | − | 0.215728i | ||||
\(940\) | 11.3330 | − | 16.7149i | 0.369641 | − | 0.545179i | ||||
\(941\) | 15.6118 | + | 14.7882i | 0.508929 | + | 0.482083i | 0.898537 | − | 0.438898i | \(-0.144631\pi\) |
−0.389608 | + | 0.920981i | \(0.627390\pi\) | |||||||
\(942\) | −3.86341 | − | 7.28716i | −0.125877 | − | 0.237428i | ||||
\(943\) | −32.2868 | −1.05140 | ||||||||
\(944\) | 1.18454 | + | 7.58926i | 0.0385536 | + | 0.247009i | ||||
\(945\) | 7.92405 | 0.257769 | ||||||||
\(946\) | −0.395330 | − | 0.745671i | −0.0128533 | − | 0.0242439i | ||||
\(947\) | 27.5573 | + | 26.1036i | 0.895491 | + | 0.848254i | 0.989083 | − | 0.147357i | \(-0.0470765\pi\) |
−0.0935926 | + | 0.995611i | \(0.529835\pi\) | |||||||
\(948\) | −3.27084 | + | 4.82413i | −0.106232 | + | 0.156681i | ||||
\(949\) | −9.65761 | − | 2.12580i | −0.313499 | − | 0.0690064i | ||||
\(950\) | 1.47850 | − | 5.32509i | 0.0479690 | − | 0.172769i | ||||
\(951\) | 6.17453 | + | 4.69376i | 0.200223 | + | 0.152205i | ||||
\(952\) | −2.65737 | − | 0.289007i | −0.0861259 | − | 0.00936676i | ||||
\(953\) | −2.52620 | − | 46.5931i | −0.0818317 | − | 1.50930i | −0.694808 | − | 0.719195i | \(-0.744511\pi\) |
0.612976 | − | 0.790101i | \(-0.289972\pi\) | |||||||
\(954\) | −2.07159 | − | 7.46120i | −0.0670703 | − | 0.241565i | ||||
\(955\) | 1.10587 | − | 2.77553i | 0.0357852 | − | 0.0898142i | ||||
\(956\) | −15.8239 | + | 3.48310i | −0.511781 | + | 0.112652i | ||||
\(957\) | 0.134539 | − | 2.48143i | 0.00434904 | − | 0.0802132i | ||||
\(958\) | 2.94946 | − | 17.9909i | 0.0952927 | − | 0.581259i | ||||
\(959\) | 30.9063 | + | 45.5833i | 0.998015 | + | 1.47196i | ||||
\(960\) | −0.897304 | − | 2.25206i | −0.0289604 | − | 0.0726850i | ||||
\(961\) | −21.0104 | + | 15.9717i | −0.677754 | + | 0.515215i | ||||
\(962\) | 4.29918 | − | 2.58673i | 0.138611 | − | 0.0833995i | ||||
\(963\) | −18.3620 | − | 6.18686i | −0.591706 | − | 0.199369i | ||||
\(964\) | −20.9451 | + | 19.8402i | −0.674595 | + | 0.639011i | ||||
\(965\) | 8.39168 | + | 51.1870i | 0.270138 | + | 1.64777i | ||||
\(966\) | 18.5291 | − | 2.01517i | 0.596166 | − | 0.0648369i | ||||
\(967\) | −26.8959 | − | 16.1827i | −0.864914 | − | 0.520401i | 0.0126178 | − | 0.999920i | \(-0.495984\pi\) |
−0.877531 | + | 0.479519i | \(0.840811\pi\) | |||||||
\(968\) | 3.05755 | + | 3.59963i | 0.0982734 | + | 0.115696i | ||||
\(969\) | −4.67733 | − | 2.16397i | −0.150258 | − | 0.0695166i | ||||
\(970\) | −29.1152 | + | 13.4701i | −0.934832 | + | 0.432499i | ||||
\(971\) | 9.29235 | − | 10.9398i | 0.298206 | − | 0.351075i | −0.592569 | − | 0.805519i | \(-0.701886\pi\) |
0.890775 | + | 0.454445i | \(0.150162\pi\) | |||||||
\(972\) | 0.947653 | − | 0.319302i | 0.0303960 | − | 0.0102416i | ||||
\(973\) | −14.0539 | + | 26.5084i | −0.450547 | + | 0.849821i | ||||
\(974\) | 8.39049 | − | 15.8261i | 0.268849 | − | 0.507102i | ||||
\(975\) | −2.02530 | + | 0.682403i | −0.0648615 | + | 0.0218544i | ||||
\(976\) | −3.04240 | + | 3.58179i | −0.0973848 | + | 0.114650i | ||||
\(977\) | −6.07303 | + | 2.80968i | −0.194293 | + | 0.0898896i | −0.514623 | − | 0.857416i | \(-0.672068\pi\) |
0.320330 | + | 0.947306i | \(0.396206\pi\) | |||||||
\(978\) | −22.1478 | − | 10.2467i | −0.708208 | − | 0.327652i | ||||
\(979\) | 27.1989 | + | 32.0211i | 0.869282 | + | 1.02340i | ||||
\(980\) | 7.65297 | + | 4.60464i | 0.244465 | + | 0.147090i | ||||
\(981\) | 2.29824 | − | 0.249949i | 0.0733772 | − | 0.00798025i | ||||
\(982\) | −3.83725 | − | 23.4062i | −0.122452 | − | 0.746921i | ||||
\(983\) | 1.53291 | − | 1.45205i | 0.0488921 | − | 0.0463131i | −0.662863 | − | 0.748740i | \(-0.730659\pi\) |
0.711756 | + | 0.702427i | \(0.247900\pi\) | |||||||
\(984\) | −5.36583 | − | 1.80796i | −0.171056 | − | 0.0576356i | ||||
\(985\) | 8.57282 | − | 5.15809i | 0.273153 | − | 0.164351i | ||||
\(986\) | −0.645741 | + | 0.490880i | −0.0205646 | + | 0.0156328i | ||||
\(987\) | 10.0785 | + | 25.2951i | 0.320802 | + | 0.805152i | ||||
\(988\) | −8.61902 | − | 12.7121i | −0.274207 | − | 0.404426i | ||||
\(989\) | 0.310759 | − | 1.89554i | 0.00988155 | − | 0.0602748i | ||||
\(990\) | 0.328825 | − | 6.06481i | 0.0104507 | − | 0.192752i | ||||
\(991\) | 0.768794 | − | 0.169224i | 0.0244216 | − | 0.00537559i | −0.202743 | − | 0.979232i | \(-0.564986\pi\) |
0.227164 | + | 0.973856i | \(0.427055\pi\) | |||||||
\(992\) | 0.794561 | − | 1.99420i | 0.0252273 | − | 0.0633158i | ||||
\(993\) | −1.26885 | − | 4.56997i | −0.0402656 | − | 0.145024i | ||||
\(994\) | −0.748953 | − | 13.8136i | −0.0237554 | − | 0.438142i | ||||
\(995\) | −61.5643 | − | 6.69552i | −1.95172 | − | 0.212262i | ||||
\(996\) | 9.27639 | + | 7.05173i | 0.293934 | + | 0.223442i | ||||
\(997\) | −2.58193 | + | 9.29928i | −0.0817706 | + | 0.294511i | −0.993117 | − | 0.117130i | \(-0.962631\pi\) |
0.911346 | + | 0.411641i | \(0.135044\pi\) | |||||||
\(998\) | 19.4645 | + | 4.28445i | 0.616137 | + | 0.135622i | ||||
\(999\) | −1.15536 | + | 1.70402i | −0.0365539 | + | 0.0539129i |
(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 | 354.2.e.b.205.1 | yes | 56 | |
59.19 | even | 29 | inner | 354.2.e.b.19.1 | ✓ | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.e.b.19.1 | ✓ | 56 | 59.19 | even | 29 | inner | |
354.2.e.b.205.1 | yes | 56 | 1.1 | even | 1 | trivial |