Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(67,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.br (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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 67.14 | ||
Character | \(\chi\) | \(=\) | 280.67 |
Dual form | 280.2.br.a.163.14 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.786782 | − | 1.17515i | −0.556339 | − | 0.830955i | ||||
\(3\) | 0.552175 | + | 2.06075i | 0.318799 | + | 1.18977i | 0.920401 | + | 0.390976i | \(0.127863\pi\) |
−0.601602 | + | 0.798796i | \(0.705471\pi\) | |||||||
\(4\) | −0.761947 | + | 1.84917i | −0.380973 | + | 0.924586i | ||||
\(5\) | 1.28687 | − | 1.82865i | 0.575507 | − | 0.817797i | ||||
\(6\) | 1.98724 | − | 2.27025i | 0.811287 | − | 0.926824i | ||||
\(7\) | −0.126396 | − | 2.64273i | −0.0477733 | − | 0.998858i | ||||
\(8\) | 2.77254 | − | 0.559495i | 0.980240 | − | 0.197811i | ||||
\(9\) | −1.34370 | + | 0.775786i | −0.447900 | + | 0.258595i | ||||
\(10\) | −3.16142 | − | 0.0735182i | −0.999730 | − | 0.0232485i | ||||
\(11\) | −0.610032 | + | 1.05661i | −0.183932 | + | 0.318579i | −0.943216 | − | 0.332180i | \(-0.892216\pi\) |
0.759284 | + | 0.650759i | \(0.225549\pi\) | |||||||
\(12\) | −4.23140 | − | 0.549112i | −1.22150 | − | 0.158515i | ||||
\(13\) | 2.68783 | + | 2.68783i | 0.745469 | + | 0.745469i | 0.973625 | − | 0.228155i | \(-0.0732694\pi\) |
−0.228155 | + | 0.973625i | \(0.573269\pi\) | |||||||
\(14\) | −3.00615 | + | 2.22779i | −0.803428 | + | 0.595401i | ||||
\(15\) | 4.47896 | + | 1.64218i | 1.15646 | + | 0.424010i | ||||
\(16\) | −2.83887 | − | 2.81794i | −0.709718 | − | 0.704485i | ||||
\(17\) | 6.90315 | − | 1.84969i | 1.67426 | − | 0.448616i | 0.708005 | − | 0.706207i | \(-0.249595\pi\) |
0.966254 | + | 0.257591i | \(0.0829287\pi\) | |||||||
\(18\) | 1.96886 | + | 0.968673i | 0.464065 | + | 0.228318i | ||||
\(19\) | 0.485494 | − | 0.280300i | 0.111380 | − | 0.0643052i | −0.443275 | − | 0.896386i | \(-0.646184\pi\) |
0.554655 | + | 0.832080i | \(0.312850\pi\) | |||||||
\(20\) | 2.40096 | + | 3.77298i | 0.536870 | + | 0.843665i | ||||
\(21\) | 5.37620 | − | 1.71972i | 1.17318 | − | 0.375274i | ||||
\(22\) | 1.72163 | − | 0.114441i | 0.367053 | − | 0.0243990i | ||||
\(23\) | −1.57579 | + | 5.88093i | −0.328575 | + | 1.22626i | 0.582094 | + | 0.813121i | \(0.302234\pi\) |
−0.910669 | + | 0.413137i | \(0.864433\pi\) | |||||||
\(24\) | 2.68390 | + | 5.40456i | 0.547850 | + | 1.10320i | ||||
\(25\) | −1.68791 | − | 4.70648i | −0.337583 | − | 0.941296i | ||||
\(26\) | 1.04386 | − | 5.27333i | 0.204718 | − | 1.03419i | ||||
\(27\) | 2.18506 | + | 2.18506i | 0.420514 | + | 0.420514i | ||||
\(28\) | 4.98317 | + | 1.77989i | 0.941731 | + | 0.336368i | ||||
\(29\) | 6.36373 | 1.18172 | 0.590858 | − | 0.806776i | \(-0.298789\pi\) | ||||
0.590858 | + | 0.806776i | \(0.298789\pi\) | |||||||
\(30\) | −1.59416 | − | 6.55548i | −0.291052 | − | 1.19686i | ||||
\(31\) | −5.87051 | − | 3.38934i | −1.05437 | − | 0.608743i | −0.130504 | − | 0.991448i | \(-0.541659\pi\) |
−0.923871 | + | 0.382705i | \(0.874993\pi\) | |||||||
\(32\) | −1.07792 | + | 5.55320i | −0.190552 | + | 0.981677i | ||||
\(33\) | −2.51424 | − | 0.673689i | −0.437674 | − | 0.117274i | ||||
\(34\) | −7.60494 | − | 6.65692i | −1.30424 | − | 1.14165i | ||||
\(35\) | −4.99528 | − | 3.16972i | −0.844357 | − | 0.535781i | ||||
\(36\) | −0.410733 | − | 3.07584i | −0.0684555 | − | 0.512640i | ||||
\(37\) | −4.32578 | − | 1.15909i | −0.711153 | − | 0.190553i | −0.114932 | − | 0.993373i | \(-0.536665\pi\) |
−0.596221 | + | 0.802820i | \(0.703332\pi\) | |||||||
\(38\) | −0.711372 | − | 0.349992i | −0.115400 | − | 0.0567762i | ||||
\(39\) | −4.05478 | + | 7.02308i | −0.649284 | + | 1.12459i | ||||
\(40\) | 2.54478 | − | 5.79000i | 0.402366 | − | 0.915479i | ||||
\(41\) | −11.6461 | −1.81882 | −0.909410 | − | 0.415901i | \(-0.863466\pi\) | ||||
−0.909410 | + | 0.415901i | \(0.863466\pi\) | |||||||
\(42\) | −6.25083 | − | 4.96479i | −0.964524 | − | 0.766084i | ||||
\(43\) | 3.61709 | − | 3.61709i | 0.551600 | − | 0.551600i | −0.375302 | − | 0.926903i | \(-0.622461\pi\) |
0.926903 | + | 0.375302i | \(0.122461\pi\) | |||||||
\(44\) | −1.48904 | − | 1.93313i | −0.224481 | − | 0.291431i | ||||
\(45\) | −0.310532 | + | 3.45549i | −0.0462914 | + | 0.515115i | ||||
\(46\) | 8.15077 | − | 2.77522i | 1.20176 | − | 0.409184i | ||||
\(47\) | 2.05817 | + | 0.551484i | 0.300214 | + | 0.0804422i | 0.405782 | − | 0.913970i | \(-0.366999\pi\) |
−0.105567 | + | 0.994412i | \(0.533666\pi\) | |||||||
\(48\) | 4.23951 | − | 7.40619i | 0.611920 | − | 1.06899i | ||||
\(49\) | −6.96805 | + | 0.668063i | −0.995435 | + | 0.0954376i | ||||
\(50\) | −4.20279 | + | 5.68652i | −0.594364 | + | 0.804196i | ||||
\(51\) | 7.62349 | + | 13.2043i | 1.06750 | + | 1.84897i | ||||
\(52\) | −7.01824 | + | 2.92227i | −0.973255 | + | 0.405246i | ||||
\(53\) | 3.77348 | − | 1.01110i | 0.518328 | − | 0.138885i | 0.00983465 | − | 0.999952i | \(-0.496869\pi\) |
0.508493 | + | 0.861066i | \(0.330203\pi\) | |||||||
\(54\) | 0.848602 | − | 4.28693i | 0.115480 | − | 0.583377i | ||||
\(55\) | 1.14713 | + | 2.47525i | 0.154679 | + | 0.333763i | ||||
\(56\) | −1.82903 | − | 7.25635i | −0.244415 | − | 0.969671i | ||||
\(57\) | 0.845704 | + | 0.845704i | 0.112016 | + | 0.112016i | ||||
\(58\) | −5.00687 | − | 7.47833i | −0.657435 | − | 0.981953i | ||||
\(59\) | −2.73771 | − | 1.58062i | −0.356420 | − | 0.205779i | 0.311089 | − | 0.950381i | \(-0.399306\pi\) |
−0.667509 | + | 0.744602i | \(0.732640\pi\) | |||||||
\(60\) | −6.44941 | + | 7.03111i | −0.832615 | + | 0.907712i | ||||
\(61\) | −3.85964 | + | 2.22836i | −0.494176 | + | 0.285313i | −0.726305 | − | 0.687372i | \(-0.758764\pi\) |
0.232129 | + | 0.972685i | \(0.425431\pi\) | |||||||
\(62\) | 0.635836 | + | 9.56539i | 0.0807512 | + | 1.21481i | ||||
\(63\) | 2.22003 | + | 3.45298i | 0.279698 | + | 0.435035i | ||||
\(64\) | 7.37393 | − | 3.10244i | 0.921741 | − | 0.387805i | ||||
\(65\) | 8.37399 | − | 1.45620i | 1.03867 | − | 0.180619i | ||||
\(66\) | 1.18648 | + | 3.48466i | 0.146045 | + | 0.428931i | ||||
\(67\) | 1.46433 | − | 0.392367i | 0.178897 | − | 0.0479352i | −0.168259 | − | 0.985743i | \(-0.553814\pi\) |
0.347155 | + | 0.937808i | \(0.387148\pi\) | |||||||
\(68\) | −1.83943 | + | 14.1745i | −0.223064 | + | 1.71891i | ||||
\(69\) | −12.9892 | −1.56372 | ||||||||
\(70\) | 0.205304 | + | 8.36408i | 0.0245385 | + | 0.999699i | ||||
\(71\) | 3.28399i | 0.389738i | 0.980829 | + | 0.194869i | \(0.0624282\pi\) | ||||
−0.980829 | + | 0.194869i | \(0.937572\pi\) | |||||||
\(72\) | −3.29141 | + | 2.90269i | −0.387897 | + | 0.342085i | ||||
\(73\) | −0.877167 | − | 3.27363i | −0.102665 | − | 0.383150i | 0.895405 | − | 0.445252i | \(-0.146886\pi\) |
−0.998070 | + | 0.0621027i | \(0.980219\pi\) | |||||||
\(74\) | 2.04134 | + | 5.99538i | 0.237301 | + | 0.696949i | ||||
\(75\) | 8.76683 | − | 6.07716i | 1.01231 | − | 0.701730i | ||||
\(76\) | 0.148402 | + | 1.11133i | 0.0170229 | + | 0.127479i | ||||
\(77\) | 2.86943 | + | 1.47860i | 0.327002 | + | 0.168502i | ||||
\(78\) | 11.4434 | − | 0.760672i | 1.29571 | − | 0.0861291i | ||||
\(79\) | −4.28539 | − | 7.42252i | −0.482145 | − | 0.835099i | 0.517645 | − | 0.855595i | \(-0.326809\pi\) |
−0.999790 | + | 0.0204964i | \(0.993475\pi\) | |||||||
\(80\) | −8.80630 | + | 1.56497i | −0.984574 | + | 0.174969i | ||||
\(81\) | −5.62367 | + | 9.74048i | −0.624852 | + | 1.08228i | ||||
\(82\) | 9.16297 | + | 13.6859i | 1.01188 | + | 1.51136i | ||||
\(83\) | −9.39347 | + | 9.39347i | −1.03107 | + | 1.03107i | −0.0315660 | + | 0.999502i | \(0.510049\pi\) |
−0.999502 | + | 0.0315660i | \(0.989951\pi\) | |||||||
\(84\) | −0.916322 | + | 11.2519i | −0.0999789 | + | 1.22768i | ||||
\(85\) | 5.50104 | − | 15.0038i | 0.596671 | − | 1.62739i | ||||
\(86\) | −7.09647 | − | 1.40475i | −0.765232 | − | 0.151478i | ||||
\(87\) | 3.51390 | + | 13.1140i | 0.376729 | + | 1.40597i | ||||
\(88\) | −1.10017 | + | 3.27079i | −0.117279 | + | 0.348668i | ||||
\(89\) | −12.2777 | + | 7.08853i | −1.30143 | + | 0.751382i | −0.980650 | − | 0.195770i | \(-0.937279\pi\) |
−0.320783 | + | 0.947153i | \(0.603946\pi\) | |||||||
\(90\) | 4.30504 | − | 2.35380i | 0.453791 | − | 0.248112i | ||||
\(91\) | 6.76347 | − | 7.44294i | 0.709005 | − | 0.780232i | ||||
\(92\) | −9.67418 | − | 7.39486i | −1.00860 | − | 0.770968i | ||||
\(93\) | 3.74302 | − | 13.9691i | 0.388133 | − | 1.44853i | ||||
\(94\) | −0.971254 | − | 2.85255i | −0.100177 | − | 0.294218i | ||||
\(95\) | 0.112199 | − | 1.24851i | 0.0115113 | − | 0.128094i | ||||
\(96\) | −12.0389 | + | 0.845014i | −1.22872 | + | 0.0862439i | ||||
\(97\) | −7.07873 | − | 7.07873i | −0.718736 | − | 0.718736i | 0.249611 | − | 0.968346i | \(-0.419697\pi\) |
−0.968346 | + | 0.249611i | \(0.919697\pi\) | |||||||
\(98\) | 6.26741 | + | 7.66287i | 0.633104 | + | 0.774067i | ||||
\(99\) | − | 1.89302i | − | 0.190255i | ||||||
\(100\) | 9.98919 | + | 0.464844i | 0.998919 | + | 0.0464844i | ||||
\(101\) | −1.17896 | − | 0.680672i | −0.117311 | − | 0.0677294i | 0.440196 | − | 0.897901i | \(-0.354909\pi\) |
−0.557507 | + | 0.830172i | \(0.688242\pi\) | |||||||
\(102\) | 9.51895 | − | 19.3476i | 0.942517 | − | 1.91570i | ||||
\(103\) | 0.405398 | − | 1.51297i | 0.0399450 | − | 0.149077i | −0.943073 | − | 0.332586i | \(-0.892079\pi\) |
0.983018 | + | 0.183509i | \(0.0587456\pi\) | |||||||
\(104\) | 8.95593 | + | 5.94828i | 0.878201 | + | 0.583277i | ||||
\(105\) | 3.77373 | − | 12.0443i | 0.368278 | − | 1.17540i | ||||
\(106\) | −4.15710 | − | 3.63888i | −0.403773 | − | 0.353440i | ||||
\(107\) | −1.64732 | + | 6.14788i | −0.159252 | + | 0.594338i | 0.839451 | + | 0.543435i | \(0.182877\pi\) |
−0.998704 | + | 0.0509028i | \(0.983790\pi\) | |||||||
\(108\) | −5.70544 | + | 2.37565i | −0.549007 | + | 0.228597i | ||||
\(109\) | 1.18073 | − | 2.04508i | 0.113093 | − | 0.195883i | −0.803923 | − | 0.594734i | \(-0.797258\pi\) |
0.917016 | + | 0.398851i | \(0.130591\pi\) | |||||||
\(110\) | 2.00625 | − | 3.29553i | 0.191288 | − | 0.314217i | ||||
\(111\) | − | 9.55435i | − | 0.906859i | ||||||
\(112\) | −7.08824 | + | 7.85856i | −0.669775 | + | 0.742564i | ||||
\(113\) | 3.51644 | − | 3.51644i | 0.330799 | − | 0.330799i | −0.522091 | − | 0.852890i | \(-0.674848\pi\) |
0.852890 | + | 0.522091i | \(0.174848\pi\) | |||||||
\(114\) | 0.328443 | − | 1.65921i | 0.0307615 | − | 0.155400i | ||||
\(115\) | 8.72631 | + | 10.4496i | 0.813733 | + | 0.974428i | ||||
\(116\) | −4.84883 | + | 11.7676i | −0.450202 | + | 1.09260i | ||||
\(117\) | −5.69681 | − | 1.52646i | −0.526671 | − | 0.141121i | ||||
\(118\) | 0.296522 | + | 4.46082i | 0.0272971 | + | 0.410652i | ||||
\(119\) | −5.76077 | − | 18.0094i | −0.528089 | − | 1.65092i | ||||
\(120\) | 13.3369 | + | 2.04706i | 1.21749 | + | 0.186870i | ||||
\(121\) | 4.75572 | + | 8.23715i | 0.432338 | + | 0.748832i | ||||
\(122\) | 5.65535 | + | 2.78241i | 0.512011 | + | 0.251908i | ||||
\(123\) | −6.43070 | − | 23.9997i | −0.579837 | − | 2.16398i | ||||
\(124\) | 10.7405 | − | 8.27308i | 0.964524 | − | 0.742945i | ||||
\(125\) | −10.7786 | − | 2.97004i | −0.964070 | − | 0.265648i | ||||
\(126\) | 2.31108 | − | 5.32561i | 0.205888 | − | 0.474443i | ||||
\(127\) | −13.3853 | + | 13.3853i | −1.18775 | + | 1.18775i | −0.210064 | + | 0.977688i | \(0.567367\pi\) |
−0.977688 | + | 0.210064i | \(0.932633\pi\) | |||||||
\(128\) | −9.44751 | − | 6.22451i | −0.835050 | − | 0.550175i | ||||
\(129\) | 9.45116 | + | 5.45663i | 0.832128 | + | 0.480429i | ||||
\(130\) | −8.29976 | − | 8.69497i | −0.727937 | − | 0.762599i | ||||
\(131\) | 0.922567 | + | 1.59793i | 0.0806051 | + | 0.139612i | 0.903510 | − | 0.428567i | \(-0.140981\pi\) |
−0.822905 | + | 0.568179i | \(0.807648\pi\) | |||||||
\(132\) | 3.16149 | − | 4.13595i | 0.275172 | − | 0.359988i | ||||
\(133\) | −0.802122 | − | 1.24760i | −0.0695528 | − | 0.108181i | ||||
\(134\) | −1.61320 | − | 1.41210i | −0.139359 | − | 0.121987i | ||||
\(135\) | 6.80759 | − | 1.18381i | 0.585904 | − | 0.101886i | ||||
\(136\) | 18.1043 | − | 8.99062i | 1.55243 | − | 0.770939i | ||||
\(137\) | 17.3253 | − | 4.64230i | 1.48020 | − | 0.396619i | 0.573785 | − | 0.819006i | \(-0.305474\pi\) |
0.906415 | + | 0.422387i | \(0.138808\pi\) | |||||||
\(138\) | 10.2197 | + | 15.2642i | 0.869957 | + | 1.29938i | ||||
\(139\) | 1.92772i | 0.163507i | 0.996653 | + | 0.0817534i | \(0.0260520\pi\) | ||||
−0.996653 | + | 0.0817534i | \(0.973948\pi\) | |||||||
\(140\) | 9.66751 | − | 6.82197i | 0.817053 | − | 0.576562i | ||||
\(141\) | 4.54587i | 0.382832i | ||||||||
\(142\) | 3.85918 | − | 2.58379i | 0.323855 | − | 0.216827i | ||||
\(143\) | −4.47964 | + | 1.20032i | −0.374606 | + | 0.100375i | ||||
\(144\) | 6.00071 | + | 1.58411i | 0.500060 | + | 0.132009i | ||||
\(145\) | 8.18932 | − | 11.6370i | 0.680086 | − | 0.966403i | ||||
\(146\) | −3.15686 | + | 3.60644i | −0.261264 | + | 0.298471i | ||||
\(147\) | −5.22429 | − | 13.9905i | −0.430892 | − | 1.15392i | ||||
\(148\) | 5.43937 | − | 7.11594i | 0.447113 | − | 0.584927i | ||||
\(149\) | 1.78891 | + | 3.09848i | 0.146553 | + | 0.253838i | 0.929951 | − | 0.367683i | \(-0.119849\pi\) |
−0.783398 | + | 0.621520i | \(0.786515\pi\) | |||||||
\(150\) | −14.0392 | − | 5.52092i | −1.14629 | − | 0.450782i | ||||
\(151\) | −6.59273 | − | 3.80631i | −0.536508 | − | 0.309753i | 0.207154 | − | 0.978308i | \(-0.433580\pi\) |
−0.743663 | + | 0.668555i | \(0.766913\pi\) | |||||||
\(152\) | 1.18922 | − | 1.04877i | 0.0964587 | − | 0.0850667i | ||||
\(153\) | −7.84080 | + | 7.84080i | −0.633891 | + | 0.633891i | ||||
\(154\) | −0.520046 | − | 4.53535i | −0.0419065 | − | 0.365469i | ||||
\(155\) | −13.7525 | + | 6.37345i | −1.10463 | + | 0.511928i | ||||
\(156\) | −9.89736 | − | 12.8492i | −0.792423 | − | 1.02876i | ||||
\(157\) | −1.36650 | − | 5.09985i | −0.109059 | − | 0.407012i | 0.889715 | − | 0.456516i | \(-0.150903\pi\) |
−0.998774 | + | 0.0495035i | \(0.984236\pi\) | |||||||
\(158\) | −5.35089 | + | 10.8759i | −0.425694 | + | 0.865239i | ||||
\(159\) | 4.16725 | + | 7.21788i | 0.330484 | + | 0.572415i | ||||
\(160\) | 8.76771 | + | 9.11742i | 0.693148 | + | 0.720795i | ||||
\(161\) | 15.7409 | + | 3.42106i | 1.24056 | + | 0.269617i | ||||
\(162\) | 15.8711 | − | 1.05499i | 1.24695 | − | 0.0828881i | ||||
\(163\) | 4.13568 | + | 1.10815i | 0.323931 | + | 0.0867971i | 0.417120 | − | 0.908851i | \(-0.363039\pi\) |
−0.0931890 | + | 0.995648i | \(0.529706\pi\) | |||||||
\(164\) | 8.87373 | − | 21.5357i | 0.692922 | − | 1.68165i | ||||
\(165\) | −4.46745 | + | 3.73072i | −0.347791 | + | 0.290436i | ||||
\(166\) | 18.4293 | + | 3.64810i | 1.43039 | + | 0.283148i | ||||
\(167\) | 12.5685 | − | 12.5685i | 0.972581 | − | 0.972581i | −0.0270530 | − | 0.999634i | \(-0.508612\pi\) |
0.999634 | + | 0.0270530i | \(0.00861229\pi\) | |||||||
\(168\) | 13.9435 | − | 7.77595i | 1.07577 | − | 0.599928i | ||||
\(169\) | 1.44884i | 0.111449i | ||||||||
\(170\) | −21.9598 | + | 5.34015i | −1.68424 | + | 0.409571i | ||||
\(171\) | −0.434905 | + | 0.753278i | −0.0332580 | + | 0.0576046i | ||||
\(172\) | 3.93259 | + | 9.44464i | 0.299857 | + | 0.720147i | ||||
\(173\) | −3.44197 | + | 12.8456i | −0.261688 | + | 0.976632i | 0.702559 | + | 0.711626i | \(0.252041\pi\) |
−0.964247 | + | 0.265006i | \(0.914626\pi\) | |||||||
\(174\) | 12.6463 | − | 14.4472i | 0.958711 | − | 1.09524i | ||||
\(175\) | −12.2246 | + | 5.05558i | −0.924094 | + | 0.382166i | ||||
\(176\) | 4.70926 | − | 1.28054i | 0.354974 | − | 0.0965242i | ||||
\(177\) | 1.74556 | − | 6.51451i | 0.131204 | − | 0.489661i | ||||
\(178\) | 17.9899 | + | 8.85098i | 1.34840 | + | 0.663409i | ||||
\(179\) | 2.97767 | + | 1.71916i | 0.222562 | + | 0.128496i | 0.607136 | − | 0.794598i | \(-0.292318\pi\) |
−0.384574 | + | 0.923094i | \(0.625652\pi\) | |||||||
\(180\) | −6.15319 | − | 3.20713i | −0.458632 | − | 0.239045i | ||||
\(181\) | 13.8386i | 1.02861i | 0.857606 | + | 0.514307i | \(0.171951\pi\) | ||||
−0.857606 | + | 0.514307i | \(0.828049\pi\) | |||||||
\(182\) | −14.0679 | − | 2.09211i | −1.04278 | − | 0.155078i | ||||
\(183\) | −6.72329 | − | 6.72329i | −0.497000 | − | 0.497000i | ||||
\(184\) | −1.07859 | + | 17.1867i | −0.0795144 | + | 1.26702i | ||||
\(185\) | −7.68629 | + | 6.41873i | −0.565107 | + | 0.471914i | ||||
\(186\) | −19.3607 | + | 6.59207i | −1.41960 | + | 0.483354i | ||||
\(187\) | −2.25674 | + | 8.42228i | −0.165029 | + | 0.615898i | ||||
\(188\) | −2.58800 | + | 3.38570i | −0.188749 | + | 0.246928i | ||||
\(189\) | 5.49833 | − | 6.05070i | 0.399945 | − | 0.440124i | ||||
\(190\) | −1.55546 | + | 0.850454i | −0.112845 | + | 0.0616984i | ||||
\(191\) | 8.93860 | − | 5.16070i | 0.646774 | − | 0.373415i | −0.140445 | − | 0.990088i | \(-0.544853\pi\) |
0.787219 | + | 0.616673i | \(0.211520\pi\) | |||||||
\(192\) | 10.4650 | + | 13.4827i | 0.755250 | + | 0.973030i | ||||
\(193\) | 1.64764 | + | 6.14907i | 0.118600 | + | 0.442620i | 0.999531 | − | 0.0306243i | \(-0.00974954\pi\) |
−0.880931 | + | 0.473244i | \(0.843083\pi\) | |||||||
\(194\) | −2.74914 | + | 13.8880i | −0.197376 | + | 0.997098i | ||||
\(195\) | 7.62477 | + | 16.4526i | 0.546021 | + | 1.17819i | ||||
\(196\) | 4.07392 | − | 13.3941i | 0.290994 | − | 0.956725i | ||||
\(197\) | −3.89089 | + | 3.89089i | −0.277214 | + | 0.277214i | −0.831996 | − | 0.554782i | \(-0.812802\pi\) |
0.554782 | + | 0.831996i | \(0.312802\pi\) | |||||||
\(198\) | −2.22458 | + | 1.48939i | −0.158094 | + | 0.105847i | ||||
\(199\) | 1.65845 | − | 2.87252i | 0.117565 | − | 0.203628i | −0.801237 | − | 0.598347i | \(-0.795825\pi\) |
0.918802 | + | 0.394719i | \(0.129158\pi\) | |||||||
\(200\) | −7.31306 | − | 12.1045i | −0.517111 | − | 0.855918i | ||||
\(201\) | 1.61714 | + | 2.80096i | 0.114064 | + | 0.197565i | ||||
\(202\) | 0.127693 | + | 1.92099i | 0.00898446 | + | 0.135161i | ||||
\(203\) | −0.804352 | − | 16.8176i | −0.0564545 | − | 1.18037i | ||||
\(204\) | −30.2257 | + | 4.03619i | −2.11622 | + | 0.282590i | ||||
\(205\) | −14.9871 | + | 21.2967i | −1.04674 | + | 1.48742i | ||||
\(206\) | −2.09692 | + | 0.713972i | −0.146099 | + | 0.0497448i | ||||
\(207\) | −2.44495 | − | 9.12468i | −0.169936 | − | 0.634209i | ||||
\(208\) | −0.0562606 | − | 15.2045i | −0.00390097 | − | 1.05425i | ||||
\(209\) | 0.683968i | 0.0473110i | ||||||||
\(210\) | −17.1229 | + | 5.04152i | −1.18159 | + | 0.347898i | ||||
\(211\) | −12.7627 | −0.878624 | −0.439312 | − | 0.898335i | \(-0.644778\pi\) | ||||
−0.439312 | + | 0.898335i | \(0.644778\pi\) | |||||||
\(212\) | −1.00549 | + | 7.74822i | −0.0690575 | + | 0.532150i | ||||
\(213\) | −6.76747 | + | 1.81334i | −0.463700 | + | 0.124248i | ||||
\(214\) | 8.52075 | − | 2.90120i | 0.582466 | − | 0.198322i | ||||
\(215\) | −1.95965 | − | 11.2691i | −0.133647 | − | 0.768547i | ||||
\(216\) | 7.28068 | + | 4.83562i | 0.495388 | + | 0.329023i | ||||
\(217\) | −8.21510 | + | 15.9426i | −0.557677 | + | 1.08225i | ||||
\(218\) | −3.33224 | + | 0.221503i | −0.225688 | + | 0.0150020i | ||||
\(219\) | 6.26178 | − | 3.61524i | 0.423132 | − | 0.244295i | ||||
\(220\) | −5.45122 | + | 0.235226i | −0.367521 | + | 0.0158589i | ||||
\(221\) | 23.5261 | + | 13.5828i | 1.58254 | + | 0.913679i | ||||
\(222\) | −11.2278 | + | 7.51719i | −0.753559 | + | 0.504521i | ||||
\(223\) | −12.2215 | − | 12.2215i | −0.818409 | − | 0.818409i | 0.167468 | − | 0.985877i | \(-0.446441\pi\) |
−0.985877 | + | 0.167468i | \(0.946441\pi\) | |||||||
\(224\) | 14.8119 | + | 2.14676i | 0.989660 | + | 0.143436i | ||||
\(225\) | 5.91927 | + | 5.01464i | 0.394618 | + | 0.334309i | ||||
\(226\) | −6.89902 | − | 1.36567i | −0.458916 | − | 0.0908428i | ||||
\(227\) | −24.4859 | + | 6.56098i | −1.62519 | + | 0.435468i | −0.952520 | − | 0.304477i | \(-0.901518\pi\) |
−0.672668 | + | 0.739945i | \(0.734852\pi\) | |||||||
\(228\) | −2.20823 | + | 0.919471i | −0.146244 | + | 0.0608934i | ||||
\(229\) | 8.02875 | + | 13.9062i | 0.530555 | + | 0.918948i | 0.999364 | + | 0.0356488i | \(0.0113498\pi\) |
−0.468809 | + | 0.883299i | \(0.655317\pi\) | |||||||
\(230\) | 5.41409 | − | 18.4762i | 0.356995 | − | 1.21829i | ||||
\(231\) | −1.46259 | + | 6.72962i | −0.0962312 | + | 0.442776i | ||||
\(232\) | 17.6437 | − | 3.56048i | 1.15836 | − | 0.233757i | ||||
\(233\) | −4.88494 | − | 1.30892i | −0.320023 | − | 0.0857499i | 0.0952316 | − | 0.995455i | \(-0.469641\pi\) |
−0.415255 | + | 0.909705i | \(0.636307\pi\) | |||||||
\(234\) | 2.68834 | + | 7.89559i | 0.175742 | + | 0.516151i | ||||
\(235\) | 3.65707 | − | 3.05397i | 0.238561 | − | 0.199219i | ||||
\(236\) | 5.00883 | − | 3.85816i | 0.326047 | − | 0.251145i | ||||
\(237\) | 12.9296 | − | 12.9296i | 0.839870 | − | 0.839870i | ||||
\(238\) | −16.6312 | + | 20.9392i | −1.07804 | + | 1.35729i | ||||
\(239\) | 23.6064 | 1.52697 | 0.763484 | − | 0.645826i | \(-0.223487\pi\) | ||||
0.763484 | + | 0.645826i | \(0.223487\pi\) | |||||||
\(240\) | −8.08762 | − | 17.2834i | −0.522054 | − | 1.11564i | ||||
\(241\) | −2.53374 | + | 4.38856i | −0.163212 | + | 0.282692i | −0.936019 | − | 0.351949i | \(-0.885519\pi\) |
0.772807 | + | 0.634642i | \(0.218852\pi\) | |||||||
\(242\) | 5.93816 | − | 12.0695i | 0.381719 | − | 0.775858i | ||||
\(243\) | −14.2234 | − | 3.81114i | −0.912430 | − | 0.244485i | ||||
\(244\) | −1.17979 | − | 8.83503i | −0.0755281 | − | 0.565605i | ||||
\(245\) | −7.74534 | + | 13.6018i | −0.494832 | + | 0.868989i | ||||
\(246\) | −23.1437 | + | 26.4396i | −1.47559 | + | 1.68573i | ||||
\(247\) | 2.05832 | + | 0.551525i | 0.130968 | + | 0.0350927i | ||||
\(248\) | −18.1725 | − | 6.11255i | −1.15396 | − | 0.388147i | ||||
\(249\) | −24.5444 | − | 14.1707i | −1.55544 | − | 0.898033i | ||||
\(250\) | 4.99020 | + | 15.0033i | 0.315608 | + | 0.948890i | ||||
\(251\) | 21.4708 | 1.35523 | 0.677613 | − | 0.735418i | \(-0.263014\pi\) | ||||
0.677613 | + | 0.735418i | \(0.263014\pi\) | |||||||
\(252\) | −8.07670 | + | 1.47423i | −0.508784 | + | 0.0928678i | ||||
\(253\) | −5.25255 | − | 5.25255i | −0.330225 | − | 0.330225i | ||||
\(254\) | 26.2610 | + | 5.19839i | 1.64776 | + | 0.326176i | ||||
\(255\) | 33.9565 | + | 3.05154i | 2.12644 | + | 0.191095i | ||||
\(256\) | 0.118406 | + | 15.9996i | 0.00740039 | + | 0.999973i | ||||
\(257\) | 3.61733 | − | 13.5000i | 0.225643 | − | 0.842110i | −0.756503 | − | 0.653990i | \(-0.773094\pi\) |
0.982146 | − | 0.188120i | \(-0.0602394\pi\) | |||||||
\(258\) | −1.02366 | − | 15.3997i | −0.0637301 | − | 0.958743i | ||||
\(259\) | −2.51640 | + | 11.5784i | −0.156361 | + | 0.719445i | ||||
\(260\) | −3.68777 | + | 16.5945i | −0.228706 | + | 1.02915i | ||||
\(261\) | −8.55095 | + | 4.93689i | −0.529290 | + | 0.305586i | ||||
\(262\) | 1.15195 | − | 2.34138i | 0.0711677 | − | 0.144651i | ||||
\(263\) | 12.7070 | − | 3.40482i | 0.783544 | − | 0.209950i | 0.155197 | − | 0.987883i | \(-0.450399\pi\) |
0.628347 | + | 0.777933i | \(0.283732\pi\) | |||||||
\(264\) | −7.34776 | − | 0.461122i | −0.452223 | − | 0.0283801i | ||||
\(265\) | 3.00704 | − | 8.20153i | 0.184721 | − | 0.503816i | ||||
\(266\) | −0.835020 | + | 1.92420i | −0.0511983 | + | 0.117980i | ||||
\(267\) | −21.3871 | − | 21.3871i | −1.30887 | − | 1.30887i | ||||
\(268\) | −0.390190 | + | 3.00677i | −0.0238347 | + | 0.183667i | ||||
\(269\) | −5.93116 | + | 10.2731i | −0.361629 | + | 0.626360i | −0.988229 | − | 0.152981i | \(-0.951113\pi\) |
0.626600 | + | 0.779341i | \(0.284446\pi\) | |||||||
\(270\) | −6.74725 | − | 7.06853i | −0.410624 | − | 0.430177i | ||||
\(271\) | 14.6441 | − | 8.45475i | 0.889563 | − | 0.513589i | 0.0157634 | − | 0.999876i | \(-0.494982\pi\) |
0.873800 | + | 0.486286i | \(0.161649\pi\) | |||||||
\(272\) | −24.8095 | − | 14.2016i | −1.50430 | − | 0.861100i | ||||
\(273\) | 19.0726 | + | 9.82800i | 1.15433 | + | 0.594817i | ||||
\(274\) | −19.0866 | − | 16.7073i | −1.15307 | − | 1.00933i | ||||
\(275\) | 6.00258 | + | 1.08764i | 0.361969 | + | 0.0655873i | ||||
\(276\) | 9.89709 | − | 24.0193i | 0.595735 | − | 1.44579i | ||||
\(277\) | −5.81102 | − | 21.6870i | −0.349150 | − | 1.30305i | −0.887688 | − | 0.460445i | \(-0.847690\pi\) |
0.538538 | − | 0.842601i | \(-0.318977\pi\) | |||||||
\(278\) | 2.26535 | − | 1.51669i | 0.135867 | − | 0.0909653i | ||||
\(279\) | 10.5176 | 0.629673 | ||||||||
\(280\) | −15.6231 | − | 5.99334i | −0.933656 | − | 0.358171i | ||||
\(281\) | 0.145469 | 0.00867794 | 0.00433897 | − | 0.999991i | \(-0.498619\pi\) | ||||
0.00433897 | + | 0.999991i | \(0.498619\pi\) | |||||||
\(282\) | 5.34208 | − | 3.57661i | 0.318116 | − | 0.212984i | ||||
\(283\) | 1.25651 | + | 4.68935i | 0.0746916 | + | 0.278753i | 0.993163 | − | 0.116734i | \(-0.0372425\pi\) |
−0.918472 | + | 0.395487i | \(0.870576\pi\) | |||||||
\(284\) | −6.07267 | − | 2.50223i | −0.360346 | − | 0.148480i | ||||
\(285\) | 2.63481 | − | 0.458182i | 0.156073 | − | 0.0271404i | ||||
\(286\) | 4.93505 | + | 4.31985i | 0.291816 | + | 0.255438i | ||||
\(287\) | 1.47203 | + | 30.7776i | 0.0868911 | + | 1.81674i | ||||
\(288\) | −2.85969 | − | 8.29808i | −0.168509 | − | 0.488969i | ||||
\(289\) | 29.5096 | − | 17.0374i | 1.73586 | − | 1.00220i | ||||
\(290\) | −20.1184 | − | 0.467850i | −1.18140 | − | 0.0274731i | ||||
\(291\) | 10.6788 | − | 18.4962i | 0.626000 | − | 1.08426i | ||||
\(292\) | 6.72186 | + | 0.872302i | 0.393367 | + | 0.0510476i | ||||
\(293\) | 16.7470 | + | 16.7470i | 0.978371 | + | 0.978371i | 0.999771 | − | 0.0214001i | \(-0.00681237\pi\) |
−0.0214001 | + | 0.999771i | \(0.506812\pi\) | |||||||
\(294\) | −12.3305 | + | 17.1468i | −0.719130 | + | 1.00002i | ||||
\(295\) | −6.41349 | + | 2.97226i | −0.373408 | + | 0.173052i | ||||
\(296\) | −12.6419 | − | 0.793365i | −0.734795 | − | 0.0461134i | ||||
\(297\) | −3.64170 | + | 0.975791i | −0.211313 | + | 0.0566211i | ||||
\(298\) | 2.23369 | − | 4.54007i | 0.129394 | − | 0.262999i | ||||
\(299\) | −20.0424 | + | 11.5715i | −1.15908 | + | 0.669195i | ||||
\(300\) | 4.55786 | + | 20.8419i | 0.263148 | + | 1.20331i | ||||
\(301\) | −10.0162 | − | 9.10179i | −0.577322 | − | 0.524619i | ||||
\(302\) | 0.714060 | + | 10.7422i | 0.0410895 | + | 0.618142i | ||||
\(303\) | 0.751701 | − | 2.80538i | 0.0431841 | − | 0.161165i | ||||
\(304\) | −2.16812 | − | 0.572357i | −0.124350 | − | 0.0328269i | ||||
\(305\) | −0.891971 | + | 9.92554i | −0.0510741 | + | 0.568335i | ||||
\(306\) | 15.3831 | + | 3.04510i | 0.879393 | + | 0.174077i | ||||
\(307\) | −5.79751 | − | 5.79751i | −0.330881 | − | 0.330881i | 0.522040 | − | 0.852921i | \(-0.325171\pi\) |
−0.852921 | + | 0.522040i | \(0.825171\pi\) | |||||||
\(308\) | −4.92054 | + | 4.17946i | −0.280374 | + | 0.238147i | ||||
\(309\) | 3.34169 | 0.190102 | ||||||||
\(310\) | 18.3100 | + | 11.1467i | 1.03994 | + | 0.633091i | ||||
\(311\) | −16.6358 | − | 9.60469i | −0.943330 | − | 0.544632i | −0.0523273 | − | 0.998630i | \(-0.516664\pi\) |
−0.891003 | + | 0.453998i | \(0.849997\pi\) | |||||||
\(312\) | −7.31265 | + | 21.7404i | −0.413997 | + | 1.23081i | ||||
\(313\) | −22.0511 | − | 5.90858i | −1.24640 | − | 0.333973i | −0.425457 | − | 0.904979i | \(-0.639887\pi\) |
−0.820946 | + | 0.571006i | \(0.806553\pi\) | |||||||
\(314\) | −4.91794 | + | 5.61831i | −0.277535 | + | 0.317060i | ||||
\(315\) | 9.17119 | + | 0.383891i | 0.516738 | + | 0.0216298i | ||||
\(316\) | 16.9908 | − | 2.26886i | 0.955805 | − | 0.127634i | ||||
\(317\) | 15.3110 | + | 4.10257i | 0.859952 | + | 0.230423i | 0.661738 | − | 0.749735i | \(-0.269819\pi\) |
0.198214 | + | 0.980159i | \(0.436486\pi\) | |||||||
\(318\) | 5.20337 | − | 10.5760i | 0.291790 | − | 0.593075i | ||||
\(319\) | −3.88208 | + | 6.72396i | −0.217355 | + | 0.376470i | ||||
\(320\) | 3.81603 | − | 17.4768i | 0.213323 | − | 0.976982i | ||||
\(321\) | −13.5788 | −0.757896 | ||||||||
\(322\) | −8.36439 | − | 21.1895i | −0.466129 | − | 1.18084i | ||||
\(323\) | 2.83296 | − | 2.83296i | 0.157630 | − | 0.157630i | ||||
\(324\) | −13.7269 | − | 17.8209i | −0.762605 | − | 0.990048i | ||||
\(325\) | 8.11338 | − | 17.1870i | 0.450050 | − | 0.953365i | ||||
\(326\) | −1.95164 | − | 5.73191i | −0.108091 | − | 0.317461i | ||||
\(327\) | 4.86635 | + | 1.30393i | 0.269110 | + | 0.0721077i | ||||
\(328\) | −32.2893 | + | 6.51595i | −1.78288 | + | 0.359783i | ||||
\(329\) | 1.19728 | − | 5.50888i | 0.0660081 | − | 0.303715i | ||||
\(330\) | 7.89906 | + | 2.31466i | 0.434829 | + | 0.127418i | ||||
\(331\) | −17.3136 | − | 29.9880i | −0.951641 | − | 1.64829i | −0.741875 | − | 0.670538i | \(-0.766063\pi\) |
−0.209766 | − | 0.977752i | \(-0.567270\pi\) | |||||||
\(332\) | −10.2128 | − | 24.5275i | −0.560501 | − | 1.34612i | ||||
\(333\) | 6.71175 | − | 1.79841i | 0.367802 | − | 0.0985522i | ||||
\(334\) | −24.6586 | − | 4.88118i | −1.34926 | − | 0.267086i | ||||
\(335\) | 1.16691 | − | 3.18268i | 0.0637551 | − | 0.173888i | ||||
\(336\) | −20.1084 | − | 10.2678i | −1.09701 | − | 0.560152i | ||||
\(337\) | 18.8495 | + | 18.8495i | 1.02680 | + | 1.02680i | 0.999631 | + | 0.0271651i | \(0.00864798\pi\) |
0.0271651 | + | 0.999631i | \(0.491352\pi\) | |||||||
\(338\) | 1.70260 | − | 1.13992i | 0.0926094 | − | 0.0620036i | ||||
\(339\) | 9.18819 | + | 5.30480i | 0.499034 | + | 0.288117i | ||||
\(340\) | 23.5530 | + | 21.6044i | 1.27734 | + | 1.17166i | ||||
\(341\) | 7.16240 | − | 4.13521i | 0.387866 | − | 0.223934i | ||||
\(342\) | 1.22739 | − | 0.0815877i | 0.0663696 | − | 0.00441176i | ||||
\(343\) | 2.64625 | + | 18.3302i | 0.142884 | + | 0.989739i | ||||
\(344\) | 8.00476 | − | 12.0522i | 0.431588 | − | 0.649814i | ||||
\(345\) | −16.7155 | + | 23.7527i | −0.899930 | + | 1.27880i | ||||
\(346\) | 17.8036 | − | 6.06186i | 0.957125 | − | 0.325888i | ||||
\(347\) | 20.9957 | − | 5.62578i | 1.12711 | − | 0.302008i | 0.353352 | − | 0.935491i | \(-0.385042\pi\) |
0.773757 | + | 0.633483i | \(0.218375\pi\) | |||||||
\(348\) | −26.9275 | − | 3.49440i | −1.44347 | − | 0.187320i | ||||
\(349\) | −14.2086 | −0.760570 | −0.380285 | − | 0.924869i | \(-0.624174\pi\) | ||||
−0.380285 | + | 0.924869i | \(0.624174\pi\) | |||||||
\(350\) | 15.5592 | + | 10.3881i | 0.831673 | + | 0.555266i | ||||
\(351\) | 11.7461i | 0.626961i | ||||||||
\(352\) | −5.20999 | − | 4.52658i | −0.277693 | − | 0.241267i | ||||
\(353\) | 6.17845 | + | 23.0583i | 0.328846 | + | 1.22727i | 0.910389 | + | 0.413754i | \(0.135782\pi\) |
−0.581543 | + | 0.813516i | \(0.697551\pi\) | |||||||
\(354\) | −9.02889 | + | 3.07421i | −0.479880 | + | 0.163393i | ||||
\(355\) | 6.00527 | + | 4.22608i | 0.318727 | + | 0.224297i | ||||
\(356\) | −3.75296 | − | 28.1046i | −0.198906 | − | 1.48954i | ||||
\(357\) | 33.9318 | − | 21.8158i | 1.79586 | − | 1.15462i | ||||
\(358\) | −0.322512 | − | 4.85181i | −0.0170453 | − | 0.256426i | ||||
\(359\) | 4.67903 | + | 8.10432i | 0.246950 | + | 0.427730i | 0.962678 | − | 0.270649i | \(-0.0872384\pi\) |
−0.715728 | + | 0.698379i | \(0.753905\pi\) | |||||||
\(360\) | 1.07237 | + | 9.75423i | 0.0565189 | + | 0.514093i | ||||
\(361\) | −9.34286 | + | 16.1823i | −0.491730 | + | 0.851701i | ||||
\(362\) | 16.2624 | − | 10.8880i | 0.854733 | − | 0.572259i | ||||
\(363\) | −14.3487 | + | 14.3487i | −0.753111 | + | 0.753111i | ||||
\(364\) | 8.60986 | + | 18.1779i | 0.451279 | + | 0.952783i | ||||
\(365\) | −7.11513 | − | 2.60872i | −0.372423 | − | 0.136547i | ||||
\(366\) | −2.61109 | + | 13.1906i | −0.136484 | + | 0.689485i | ||||
\(367\) | 1.55754 | + | 5.81283i | 0.0813030 | + | 0.303427i | 0.994588 | − | 0.103893i | \(-0.0331300\pi\) |
−0.913285 | + | 0.407320i | \(0.866463\pi\) | |||||||
\(368\) | 21.0456 | − | 12.2547i | 1.09708 | − | 0.638822i | ||||
\(369\) | 15.6489 | − | 9.03490i | 0.814649 | − | 0.470338i | ||||
\(370\) | 13.5904 | + | 3.98239i | 0.706531 | + | 0.207035i | ||||
\(371\) | −3.14902 | − | 9.84449i | −0.163489 | − | 0.511101i | ||||
\(372\) | 22.9794 | + | 17.5652i | 1.19142 | + | 0.910714i | ||||
\(373\) | −1.24477 | + | 4.64553i | −0.0644515 | + | 0.240536i | −0.990635 | − | 0.136537i | \(-0.956403\pi\) |
0.926183 | + | 0.377073i | \(0.123069\pi\) | |||||||
\(374\) | 11.6730 | − | 3.97450i | 0.603596 | − | 0.205516i | ||||
\(375\) | 0.168805 | − | 23.8520i | 0.00871705 | − | 1.23171i | ||||
\(376\) | 6.01490 | + | 0.377476i | 0.310195 | + | 0.0194668i | ||||
\(377\) | 17.1046 | + | 17.1046i | 0.880933 | + | 0.880933i | ||||
\(378\) | −11.4365 | − | 1.70077i | −0.588228 | − | 0.0874783i | ||||
\(379\) | 22.3416i | 1.14761i | 0.818992 | + | 0.573805i | \(0.194533\pi\) | ||||
−0.818992 | + | 0.573805i | \(0.805467\pi\) | |||||||
\(380\) | 2.22322 | + | 1.15877i | 0.114049 | + | 0.0594437i | ||||
\(381\) | −34.9747 | − | 20.1926i | −1.79181 | − | 1.03450i | ||||
\(382\) | −13.0973 | − | 6.44383i | −0.670117 | − | 0.329695i | ||||
\(383\) | 5.12236 | − | 19.1169i | 0.261740 | − | 0.976828i | −0.702475 | − | 0.711708i | \(-0.747922\pi\) |
0.964215 | − | 0.265120i | \(-0.0854115\pi\) | |||||||
\(384\) | 7.61046 | − | 22.9059i | 0.388370 | − | 1.16891i | ||||
\(385\) | 6.39644 | − | 3.34442i | 0.325993 | − | 0.170447i | ||||
\(386\) | 5.92974 | − | 6.77420i | 0.301816 | − | 0.344798i | ||||
\(387\) | −2.05420 | + | 7.66636i | −0.104421 | + | 0.389703i | ||||
\(388\) | 18.4834 | − | 7.69617i | 0.938352 | − | 0.390714i | ||||
\(389\) | −6.97791 | + | 12.0861i | −0.353794 | + | 0.612789i | −0.986911 | − | 0.161267i | \(-0.948442\pi\) |
0.633117 | + | 0.774056i | \(0.281775\pi\) | |||||||
\(390\) | 13.3352 | − | 21.9048i | 0.675254 | − | 1.10919i | ||||
\(391\) | 43.5116i | 2.20048i | ||||||||
\(392\) | −18.9454 | + | 5.75082i | −0.956887 | + | 0.290460i | ||||
\(393\) | −2.78352 | + | 2.78352i | −0.140410 | + | 0.140410i | ||||
\(394\) | 7.63366 | + | 1.51109i | 0.384578 | + | 0.0761276i | ||||
\(395\) | −19.0879 | − | 1.71536i | −0.960419 | − | 0.0863092i | ||||
\(396\) | 3.50051 | + | 1.44238i | 0.175907 | + | 0.0724823i | ||||
\(397\) | −35.8563 | − | 9.60768i | −1.79958 | − | 0.482195i | −0.805666 | − | 0.592371i | \(-0.798192\pi\) |
−0.993912 | + | 0.110175i | \(0.964859\pi\) | |||||||
\(398\) | −4.68048 | + | 0.311124i | −0.234611 | + | 0.0155952i | ||||
\(399\) | 2.12807 | − | 2.34186i | 0.106537 | − | 0.117240i | ||||
\(400\) | −8.47081 | + | 18.1175i | −0.423540 | + | 0.905877i | ||||
\(401\) | 5.22042 | + | 9.04204i | 0.260696 | + | 0.451538i | 0.966427 | − | 0.256942i | \(-0.0827148\pi\) |
−0.705731 | + | 0.708480i | \(0.749381\pi\) | |||||||
\(402\) | 2.01921 | − | 4.10412i | 0.100709 | − | 0.204695i | ||||
\(403\) | −6.66896 | − | 24.8889i | −0.332204 | − | 1.23980i | ||||
\(404\) | 2.15698 | − | 1.66146i | 0.107314 | − | 0.0826608i | ||||
\(405\) | 10.5750 | + | 22.8185i | 0.525475 | + | 1.13386i | ||||
\(406\) | −19.1304 | + | 14.1770i | −0.949424 | + | 0.703595i | ||||
\(407\) | 3.86356 | − | 3.86356i | 0.191510 | − | 0.191510i | ||||
\(408\) | 28.5242 | + | 32.3441i | 1.41216 | + | 1.60127i | ||||
\(409\) | −13.0105 | − | 7.51159i | −0.643326 | − | 0.371424i | 0.142569 | − | 0.989785i | \(-0.454464\pi\) |
−0.785894 | + | 0.618361i | \(0.787797\pi\) | |||||||
\(410\) | 36.8183 | + | 0.856202i | 1.81833 | + | 0.0422848i | ||||
\(411\) | 19.1332 | + | 33.1397i | 0.943771 | + | 1.63466i | ||||
\(412\) | 2.48884 | + | 1.90245i | 0.122616 | + | 0.0937270i | ||||
\(413\) | −3.83112 | + | 7.43482i | −0.188517 | + | 0.365844i | ||||
\(414\) | −8.79921 | + | 10.0523i | −0.432457 | + | 0.494044i | ||||
\(415\) | 5.08916 | + | 29.2656i | 0.249817 | + | 1.43659i | ||||
\(416\) | −17.8233 | + | 12.0288i | −0.873861 | + | 0.589760i | ||||
\(417\) | −3.97254 | + | 1.06444i | −0.194536 | + | 0.0521257i | ||||
\(418\) | 0.803764 | − | 0.538134i | 0.0393134 | − | 0.0263210i | ||||
\(419\) | − | 36.9931i | − | 1.80723i | −0.428343 | − | 0.903616i | \(-0.640903\pi\) | ||
0.428343 | − | 0.903616i | \(-0.359097\pi\) | |||||||
\(420\) | 19.3965 | + | 16.1553i | 0.946453 | + | 0.788300i | ||||
\(421\) | 3.40862i | 0.166126i | 0.996544 | + | 0.0830630i | \(0.0264703\pi\) | ||||
−0.996544 | + | 0.0830630i | \(0.973530\pi\) | |||||||
\(422\) | 10.0415 | + | 14.9981i | 0.488813 | + | 0.730097i | ||||
\(423\) | −3.19339 | + | 0.855667i | −0.155268 | + | 0.0416039i | ||||
\(424\) | 9.89641 | − | 4.91456i | 0.480612 | − | 0.238672i | ||||
\(425\) | −20.3575 | − | 29.3674i | −0.987482 | − | 1.42453i | ||||
\(426\) | 7.45547 | + | 6.52608i | 0.361219 | + | 0.316190i | ||||
\(427\) | 6.37681 | + | 9.91832i | 0.308595 | + | 0.479981i | ||||
\(428\) | −10.1133 | − | 7.73053i | −0.488845 | − | 0.373669i | ||||
\(429\) | −4.94709 | − | 8.56861i | −0.238848 | − | 0.413697i | ||||
\(430\) | −11.7011 | + | 11.1692i | −0.564275 | + | 0.538627i | ||||
\(431\) | −29.1474 | − | 16.8283i | −1.40398 | − | 0.810588i | −0.409182 | − | 0.912453i | \(-0.634186\pi\) |
−0.994798 | + | 0.101865i | \(0.967519\pi\) | |||||||
\(432\) | −0.0457368 | − | 12.3605i | −0.00220051 | − | 0.594693i | ||||
\(433\) | 0.589554 | − | 0.589554i | 0.0283322 | − | 0.0283322i | −0.692799 | − | 0.721131i | \(-0.743623\pi\) |
0.721131 | + | 0.692799i | \(0.243623\pi\) | |||||||
\(434\) | 25.1984 | − | 2.88937i | 1.20956 | − | 0.138694i | ||||
\(435\) | 28.5029 | + | 10.4504i | 1.36661 | + | 0.501059i | ||||
\(436\) | 2.88205 | + | 3.74160i | 0.138025 | + | 0.179190i | ||||
\(437\) | 0.883387 | + | 3.29685i | 0.0422581 | + | 0.157710i | ||||
\(438\) | −9.17509 | − | 4.51411i | −0.438403 | − | 0.215692i | ||||
\(439\) | 0.500595 | + | 0.867056i | 0.0238921 | + | 0.0413823i | 0.877724 | − | 0.479166i | \(-0.159061\pi\) |
−0.853832 | + | 0.520548i | \(0.825728\pi\) | |||||||
\(440\) | 4.56535 | + | 6.22092i | 0.217645 | + | 0.296571i | ||||
\(441\) | 8.84469 | − | 6.30339i | 0.421176 | − | 0.300161i | ||||
\(442\) | −2.54812 | − | 38.3334i | −0.121202 | − | 1.82333i | ||||
\(443\) | 38.3356 | + | 10.2720i | 1.82138 | + | 0.488037i | 0.996958 | − | 0.0779427i | \(-0.0248351\pi\) |
0.824419 | + | 0.565979i | \(0.191502\pi\) | |||||||
\(444\) | 17.6676 | + | 7.27991i | 0.838469 | + | 0.345489i | ||||
\(445\) | −2.83740 | + | 31.5736i | −0.134506 | + | 1.49673i | ||||
\(446\) | −4.74640 | + | 23.9776i | −0.224748 | + | 1.13537i | ||||
\(447\) | −5.39739 | + | 5.39739i | −0.255288 | + | 0.255288i | ||||
\(448\) | −9.13096 | − | 19.0952i | −0.431397 | − | 0.902162i | ||||
\(449\) | − | 13.6632i | − | 0.644807i | −0.946602 | − | 0.322404i | \(-0.895509\pi\) | ||
0.946602 | − | 0.322404i | \(-0.104491\pi\) | |||||||
\(450\) | 1.23577 | − | 10.9014i | 0.0582545 | − | 0.513899i | ||||
\(451\) | 7.10451 | − | 12.3054i | 0.334538 | − | 0.579438i | ||||
\(452\) | 3.82316 | + | 9.18185i | 0.179827 | + | 0.431878i | ||||
\(453\) | 4.20350 | − | 15.6877i | 0.197498 | − | 0.737072i | ||||
\(454\) | 26.9752 | + | 23.6125i | 1.26601 | + | 1.10819i | ||||
\(455\) | −4.90679 | − | 21.9461i | −0.230034 | − | 1.02885i | ||||
\(456\) | 2.81791 | + | 1.87158i | 0.131961 | + | 0.0876447i | ||||
\(457\) | 6.59076 | − | 24.5971i | 0.308303 | − | 1.15060i | −0.621762 | − | 0.783206i | \(-0.713583\pi\) |
0.930065 | − | 0.367395i | \(-0.119750\pi\) | |||||||
\(458\) | 10.0250 | − | 20.3761i | 0.468436 | − | 0.952114i | ||||
\(459\) | 19.1255 | + | 11.0421i | 0.892700 | + | 0.515400i | ||||
\(460\) | −25.9720 | + | 8.17443i | −1.21095 | + | 0.381135i | ||||
\(461\) | − | 26.8660i | − | 1.25127i | −0.780114 | − | 0.625637i | \(-0.784839\pi\) | ||
0.780114 | − | 0.625637i | \(-0.215161\pi\) | |||||||
\(462\) | 9.05904 | − | 3.57599i | 0.421465 | − | 0.166370i | ||||
\(463\) | −21.2847 | − | 21.2847i | −0.989182 | − | 0.989182i | 0.0107599 | − | 0.999942i | \(-0.496575\pi\) |
−0.999942 | + | 0.0107599i | \(0.996575\pi\) | |||||||
\(464\) | −18.0658 | − | 17.9326i | −0.838685 | − | 0.832501i | ||||
\(465\) | −20.7279 | − | 24.8212i | −0.961231 | − | 1.15105i | ||||
\(466\) | 2.30521 | + | 6.77036i | 0.106787 | + | 0.313631i | ||||
\(467\) | 1.42495 | − | 5.31797i | 0.0659386 | − | 0.246086i | −0.925088 | − | 0.379754i | \(-0.876009\pi\) |
0.991026 | + | 0.133667i | \(0.0426754\pi\) | |||||||
\(468\) | 7.16335 | − | 9.37131i | 0.331126 | − | 0.433189i | ||||
\(469\) | −1.22201 | − | 3.82024i | −0.0564270 | − | 0.176402i | ||||
\(470\) | −6.46619 | − | 1.89479i | −0.298263 | − | 0.0874000i | ||||
\(471\) | 9.75494 | − | 5.63202i | 0.449484 | − | 0.259510i | ||||
\(472\) | −8.47476 | − | 2.85059i | −0.390083 | − | 0.131209i | ||||
\(473\) | 1.61530 | + | 6.02838i | 0.0742715 | + | 0.277185i | ||||
\(474\) | −25.3671 | − | 5.02143i | −1.16515 | − | 0.230642i | ||||
\(475\) | −2.13870 | − | 1.81184i | −0.0981301 | − | 0.0831331i | ||||
\(476\) | 37.6918 | + | 3.06952i | 1.72760 | + | 0.140691i | ||||
\(477\) | −4.28603 | + | 4.28603i | −0.196244 | + | 0.196244i | ||||
\(478\) | −18.5731 | − | 27.7410i | −0.849512 | − | 1.26884i | ||||
\(479\) | 3.54516 | − | 6.14040i | 0.161982 | − | 0.280562i | −0.773597 | − | 0.633678i | \(-0.781545\pi\) |
0.935580 | + | 0.353116i | \(0.114878\pi\) | |||||||
\(480\) | −13.9474 | + | 23.1024i | −0.636607 | + | 1.05448i | ||||
\(481\) | −8.51151 | − | 14.7424i | −0.388092 | − | 0.672194i | ||||
\(482\) | 7.15071 | − | 0.475326i | 0.325706 | − | 0.0216505i | ||||
\(483\) | 1.64179 | + | 34.3270i | 0.0747040 | + | 1.56193i | ||||
\(484\) | −18.8555 | + | 2.51787i | −0.857069 | + | 0.114449i | ||||
\(485\) | −22.0539 | + | 3.83508i | −1.00142 | + | 0.174142i | ||||
\(486\) | 6.71205 | + | 19.7131i | 0.304465 | + | 0.894205i | ||||
\(487\) | −2.64599 | − | 9.87498i | −0.119901 | − | 0.447478i | 0.879705 | − | 0.475519i | \(-0.157740\pi\) |
−0.999607 | + | 0.0280412i | \(0.991073\pi\) | |||||||
\(488\) | −9.45423 | + | 8.33767i | −0.427973 | + | 0.377429i | ||||
\(489\) | 9.13447i | 0.413075i | ||||||||
\(490\) | 22.0781 | − | 1.59975i | 0.997385 | − | 0.0722694i | ||||
\(491\) | −34.3585 | −1.55058 | −0.775289 | − | 0.631607i | \(-0.782396\pi\) | ||||
−0.775289 | + | 0.631607i | \(0.782396\pi\) | |||||||
\(492\) | 49.2794 | + | 6.39503i | 2.22169 | + | 0.288310i | ||||
\(493\) | 43.9298 | − | 11.7709i | 1.97850 | − | 0.530137i | ||||
\(494\) | −0.971327 | − | 2.85276i | −0.0437020 | − | 0.128352i | ||||
\(495\) | −3.46166 | − | 2.43607i | −0.155590 | − | 0.109493i | ||||
\(496\) | 7.11467 | + | 26.1647i | 0.319458 | + | 1.17483i | ||||
\(497\) | 8.67870 | − | 0.415085i | 0.389293 | − | 0.0186191i | ||||
\(498\) | 2.65841 | + | 39.9926i | 0.119126 | + | 1.79211i | ||||
\(499\) | 0.357189 | − | 0.206223i | 0.0159900 | − | 0.00923182i | −0.491984 | − | 0.870604i | \(-0.663728\pi\) |
0.507974 | + | 0.861373i | \(0.330395\pi\) | |||||||
\(500\) | 13.7049 | − | 17.6685i | 0.612900 | − | 0.790161i | ||||
\(501\) | 32.8405 | + | 18.9605i | 1.46721 | + | 0.847093i | ||||
\(502\) | −16.8929 | − | 25.2314i | −0.753966 | − | 1.12613i | ||||
\(503\) | −12.5786 | − | 12.5786i | −0.560851 | − | 0.560851i | 0.368698 | − | 0.929549i | \(-0.379804\pi\) |
−0.929549 | + | 0.368698i | \(0.879804\pi\) | |||||||
\(504\) | 8.08705 | + | 8.33142i | 0.360226 | + | 0.371111i | ||||
\(505\) | −2.76188 | + | 1.27996i | −0.122902 | + | 0.0569576i | ||||
\(506\) | −2.03991 | + | 10.3051i | −0.0906850 | + | 0.458119i | ||||
\(507\) | −2.98569 | + | 0.800014i | −0.132599 | + | 0.0355299i | ||||
\(508\) | −14.5528 | − | 34.9506i | −0.645677 | − | 1.55068i | ||||
\(509\) | −8.97397 | − | 15.5434i | −0.397764 | − | 0.688948i | 0.595685 | − | 0.803218i | \(-0.296880\pi\) |
−0.993450 | + | 0.114270i | \(0.963547\pi\) | |||||||
\(510\) | −23.1303 | − | 42.3048i | −1.02423 | − | 1.87329i | ||||
\(511\) | −8.54046 | + | 2.73189i | −0.377808 | + | 0.120852i | ||||
\(512\) | 18.7087 | − | 12.7273i | 0.826815 | − | 0.562473i | ||||
\(513\) | 1.67330 | + | 0.448360i | 0.0738781 | + | 0.0197956i | ||||
\(514\) | −18.7106 | + | 6.37070i | −0.825289 | + | 0.281000i | ||||
\(515\) | −2.24499 | − | 2.68832i | −0.0989259 | − | 0.118462i | ||||
\(516\) | −17.2915 | + | 13.3192i | −0.761217 | + | 0.586343i | ||||
\(517\) | −1.83825 | + | 1.83825i | −0.0808461 | + | 0.0808461i | ||||
\(518\) | 15.5862 | − | 6.15252i | 0.684816 | − | 0.270326i | ||||
\(519\) | −28.3721 | −1.24540 | ||||||||
\(520\) | 22.4025 | − | 8.72258i | 0.982413 | − | 0.382510i | ||||
\(521\) | 14.4349 | − | 25.0020i | 0.632406 | − | 1.09536i | −0.354653 | − | 0.934998i | \(-0.615401\pi\) |
0.987059 | − | 0.160361i | \(-0.0512657\pi\) | |||||||
\(522\) | 12.5293 | + | 6.16437i | 0.548393 | + | 0.269807i | ||||
\(523\) | 26.6576 | + | 7.14289i | 1.16566 | + | 0.312337i | 0.789223 | − | 0.614107i | \(-0.210484\pi\) |
0.376433 | + | 0.926444i | \(0.377150\pi\) | |||||||
\(524\) | −3.65780 | + | 0.488445i | −0.159792 | + | 0.0213378i | ||||
\(525\) | −17.1684 | − | 22.4002i | −0.749290 | − | 0.977627i | ||||
\(526\) | −13.9988 | − | 12.2537i | −0.610375 | − | 0.534287i | ||||
\(527\) | −46.7942 | − | 12.5385i | −2.03839 | − | 0.546184i | ||||
\(528\) | 5.23920 | + | 8.99751i | 0.228007 | + | 0.391566i | ||||
\(529\) | −12.1836 | − | 7.03421i | −0.529722 | − | 0.305835i | ||||
\(530\) | −12.0039 | + | 2.91910i | −0.521416 | + | 0.126798i | ||||
\(531\) | 4.90489 | 0.212854 | ||||||||
\(532\) | 2.91820 | − | 0.532656i | 0.126520 | − | 0.0230936i | ||||
\(533\) | −31.3028 | − | 31.3028i | −1.35587 | − | 1.35587i | ||||
\(534\) | −8.30602 | + | 41.9600i | −0.359437 | + | 1.81579i | ||||
\(535\) | 9.12242 | + | 10.9239i | 0.394397 | + | 0.472282i | ||||
\(536\) | 3.84039 | − | 1.90714i | 0.165880 | − | 0.0823759i | ||||
\(537\) | −1.89856 | + | 7.08551i | −0.0819287 | + | 0.305762i | ||||
\(538\) | 16.7389 | − | 1.11268i | 0.721666 | − | 0.0479710i | ||||
\(539\) | 3.54485 | − | 7.77003i | 0.152688 | − | 0.334679i | ||||
\(540\) | −2.99796 | + | 13.4904i | −0.129011 | + | 0.580535i | ||||
\(541\) | 38.5562 | − | 22.2604i | 1.65766 | − | 0.957050i | 0.683868 | − | 0.729606i | \(-0.260297\pi\) |
0.973791 | − | 0.227444i | \(-0.0730368\pi\) | |||||||
\(542\) | −21.4573 | − | 10.5569i | −0.921669 | − | 0.453457i | ||||
\(543\) | −28.5178 | + | 7.64133i | −1.22382 | + | 0.327921i | ||||
\(544\) | 2.83065 | + | 40.3284i | 0.121363 | + | 1.72907i | ||||
\(545\) | −2.22028 | − | 4.79089i | −0.0951064 | − | 0.205219i | ||||
\(546\) | −3.45665 | − | 30.1457i | −0.147931 | − | 1.29011i | ||||
\(547\) | 8.11252 | + | 8.11252i | 0.346866 | + | 0.346866i | 0.858941 | − | 0.512075i | \(-0.171123\pi\) |
−0.512075 | + | 0.858941i | \(0.671123\pi\) | |||||||
\(548\) | −4.61655 | + | 35.5746i | −0.197209 | + | 1.51967i | ||||
\(549\) | 3.45746 | − | 5.98850i | 0.147561 | − | 0.255583i | ||||
\(550\) | −3.44458 | − | 7.90966i | −0.146878 | − | 0.337269i | ||||
\(551\) | 3.08955 | − | 1.78375i | 0.131619 | − | 0.0759904i | ||||
\(552\) | −36.0131 | + | 7.26740i | −1.53282 | + | 0.309321i | ||||
\(553\) | −19.0741 | + | 12.2633i | −0.811112 | + | 0.521490i | ||||
\(554\) | −20.9134 | + | 23.8918i | −0.888527 | + | 1.01506i | ||||
\(555\) | −17.4715 | − | 12.2952i | −0.741626 | − | 0.521904i | ||||
\(556\) | −3.56468 | − | 1.46882i | −0.151176 | − | 0.0622918i | ||||
\(557\) | 12.0647 | + | 45.0261i | 0.511198 | + | 1.90782i | 0.407491 | + | 0.913209i | \(0.366404\pi\) |
0.103707 | + | 0.994608i | \(0.466929\pi\) | |||||||
\(558\) | −8.27507 | − | 12.3597i | −0.350311 | − | 0.523230i | ||||
\(559\) | 19.4442 | 0.822402 | ||||||||
\(560\) | 5.24887 | + | 23.0749i | 0.221805 | + | 0.975091i | ||||
\(561\) | −18.6023 | −0.785390 | ||||||||
\(562\) | −0.114452 | − | 0.170947i | −0.00482788 | − | 0.00721098i | ||||
\(563\) | −0.0243700 | − | 0.0909503i | −0.00102708 | − | 0.00383310i | 0.965410 | − | 0.260735i | \(-0.0839649\pi\) |
−0.966437 | + | 0.256902i | \(0.917298\pi\) | |||||||
\(564\) | −8.40610 | − | 3.46372i | −0.353961 | − | 0.145849i | ||||
\(565\) | −1.90512 | − | 10.9556i | −0.0801491 | − | 0.460904i | ||||
\(566\) | 4.52208 | − | 5.16608i | 0.190077 | − | 0.217146i | ||||
\(567\) | 26.4523 | + | 13.6307i | 1.11089 | + | 0.572435i | ||||
\(568\) | 1.83738 | + | 9.10499i | 0.0770946 | + | 0.382037i | ||||
\(569\) | −28.1511 | + | 16.2530i | −1.18015 | + | 0.681362i | −0.956050 | − | 0.293203i | \(-0.905279\pi\) |
−0.224104 | + | 0.974565i | \(0.571946\pi\) | |||||||
\(570\) | −2.61145 | − | 2.73580i | −0.109382 | − | 0.114590i | ||||
\(571\) | −16.0239 | + | 27.7543i | −0.670581 | + | 1.16148i | 0.307159 | + | 0.951658i | \(0.400622\pi\) |
−0.977740 | + | 0.209822i | \(0.932712\pi\) | |||||||
\(572\) | 1.19366 | − | 9.19820i | 0.0499093 | − | 0.384596i | ||||
\(573\) | 15.5706 | + | 15.5706i | 0.650470 | + | 0.650470i | ||||
\(574\) | 35.0100 | − | 25.9451i | 1.46129 | − | 1.08293i | ||||
\(575\) | 30.3383 | − | 2.51008i | 1.26519 | − | 0.104678i | ||||
\(576\) | −7.50152 | + | 9.88934i | −0.312563 | + | 0.412056i | ||||
\(577\) | 17.8613 | − | 4.78592i | 0.743575 | − | 0.199240i | 0.132909 | − | 0.991128i | \(-0.457568\pi\) |
0.610666 | + | 0.791888i | \(0.290902\pi\) | |||||||
\(578\) | −43.2391 | − | 21.2735i | −1.79851 | − | 0.884860i | ||||
\(579\) | −11.7619 | + | 6.79073i | −0.488807 | + | 0.282213i | ||||
\(580\) | 15.2790 | + | 24.0103i | 0.634428 | + | 0.996972i | ||||
\(581\) | 26.0117 | + | 23.6371i | 1.07915 | + | 0.980633i | ||||
\(582\) | −30.1376 | + | 2.00332i | −1.24924 | + | 0.0830404i | ||||
\(583\) | −1.23361 | + | 4.60389i | −0.0510909 | + | 0.190674i | ||||
\(584\) | −4.26356 | − | 8.58550i | −0.176427 | − | 0.355270i | ||||
\(585\) | −10.1224 | + | 8.45312i | −0.418511 | + | 0.349493i | ||||
\(586\) | 6.50397 | − | 32.8565i | 0.268676 | − | 1.35729i | ||||
\(587\) | −18.9466 | − | 18.9466i | −0.782009 | − | 0.782009i | 0.198160 | − | 0.980170i | \(-0.436503\pi\) |
−0.980170 | + | 0.198160i | \(0.936503\pi\) | |||||||
\(588\) | 29.8515 | + | 0.999398i | 1.23105 | + | 0.0412145i | ||||
\(589\) | −3.80013 | −0.156581 | ||||||||
\(590\) | 8.53887 | + | 5.19828i | 0.351540 | + | 0.214010i | ||||
\(591\) | −10.1666 | − | 5.86968i | −0.418198 | − | 0.241446i | ||||
\(592\) | 9.01409 | + | 15.4803i | 0.370477 | + | 0.636236i | ||||
\(593\) | 23.4968 | + | 6.29594i | 0.964896 | + | 0.258543i | 0.706671 | − | 0.707542i | \(-0.250196\pi\) |
0.258225 | + | 0.966085i | \(0.416863\pi\) | |||||||
\(594\) | 4.01193 | + | 3.51180i | 0.164611 | + | 0.144091i | ||||
\(595\) | −40.3462 | − | 12.6413i | −1.65403 | − | 0.518244i | ||||
\(596\) | −7.09268 | + | 0.947122i | −0.290528 | + | 0.0387956i | ||||
\(597\) | 6.83530 | + | 1.83151i | 0.279750 | + | 0.0749588i | ||||
\(598\) | 29.3672 | + | 14.4485i | 1.20091 | + | 0.590844i | ||||
\(599\) | 0.694948 | − | 1.20369i | 0.0283948 | − | 0.0491813i | −0.851479 | − | 0.524389i | \(-0.824294\pi\) |
0.879874 | + | 0.475208i | \(0.157627\pi\) | |||||||
\(600\) | 20.9062 | − | 21.7542i | 0.853493 | − | 0.888110i | ||||
\(601\) | −8.47901 | −0.345866 | −0.172933 | − | 0.984934i | \(-0.555324\pi\) | ||||
−0.172933 | + | 0.984934i | \(0.555324\pi\) | |||||||
\(602\) | −2.81541 | + | 18.9316i | −0.114748 | + | 0.771595i | ||||
\(603\) | −1.66323 | + | 1.66323i | −0.0677320 | + | 0.0677320i | ||||
\(604\) | 12.0618 | − | 9.29088i | 0.490789 | − | 0.378040i | ||||
\(605\) | 21.1829 | + | 1.90362i | 0.861206 | + | 0.0773933i | ||||
\(606\) | −3.88817 | + | 1.32387i | −0.157946 | + | 0.0537784i | ||||
\(607\) | 0.679222 | + | 0.181997i | 0.0275688 | + | 0.00738702i | 0.272577 | − | 0.962134i | \(-0.412124\pi\) |
−0.245008 | + | 0.969521i | \(0.578791\pi\) | |||||||
\(608\) | 1.03324 | + | 2.99819i | 0.0419033 | + | 0.121593i | ||||
\(609\) | 34.2127 | − | 10.9438i | 1.38637 | − | 0.443467i | ||||
\(610\) | 12.3658 | − | 6.76104i | 0.500675 | − | 0.273747i | ||||
\(611\) | 4.04970 | + | 7.01429i | 0.163833 | + | 0.283768i | ||||
\(612\) | −8.52471 | − | 20.4732i | −0.344591 | − | 0.827582i | ||||
\(613\) | −22.1083 | + | 5.92389i | −0.892945 | + | 0.239264i | −0.675984 | − | 0.736917i | \(-0.736281\pi\) |
−0.216961 | + | 0.976180i | \(0.569614\pi\) | |||||||
\(614\) | −2.25155 | + | 11.3743i | −0.0908653 | + | 0.459030i | ||||
\(615\) | −52.1625 | − | 19.1251i | −2.10340 | − | 0.771198i | ||||
\(616\) | 8.78288 | + | 2.49404i | 0.353872 | + | 0.100488i | ||||
\(617\) | 19.8493 | + | 19.8493i | 0.799104 | + | 0.799104i | 0.982954 | − | 0.183851i | \(-0.0588563\pi\) |
−0.183851 | + | 0.982954i | \(0.558856\pi\) | |||||||
\(618\) | −2.62918 | − | 3.92698i | −0.105761 | − | 0.157966i | ||||
\(619\) | 23.9394 | + | 13.8214i | 0.962206 | + | 0.555530i | 0.896851 | − | 0.442332i | \(-0.145849\pi\) |
0.0653547 | + | 0.997862i | \(0.479182\pi\) | |||||||
\(620\) | −1.30692 | − | 30.2870i | −0.0524870 | − | 1.21635i | ||||
\(621\) | −16.2934 | + | 9.40697i | −0.653830 | + | 0.377489i | ||||
\(622\) | 1.80183 | + | 27.1063i | 0.0722467 | + | 1.08686i | ||||
\(623\) | 20.2849 | + | 31.5507i | 0.812698 | + | 1.26405i | ||||
\(624\) | 31.3016 | − | 8.51151i | 1.25307 | − | 0.340733i | ||||
\(625\) | −19.3019 | + | 15.8883i | −0.772076 | + | 0.635531i | ||||
\(626\) | 10.4060 | + | 30.5621i | 0.415906 | + | 1.22151i | ||||
\(627\) | −1.40948 | + | 0.377670i | −0.0562894 | + | 0.0150827i | ||||
\(628\) | 10.4717 | + | 1.35892i | 0.417866 | + | 0.0542268i | ||||
\(629\) | −32.0054 | −1.27614 | ||||||||
\(630\) | −6.76460 | − | 11.0795i | −0.269508 | − | 0.441420i | ||||
\(631\) | 1.78163i | 0.0709256i | 0.999371 | + | 0.0354628i | \(0.0112905\pi\) | ||||
−0.999371 | + | 0.0354628i | \(0.988709\pi\) | |||||||
\(632\) | −16.0343 | − | 18.1816i | −0.637810 | − | 0.723224i | ||||
\(633\) | −7.04727 | − | 26.3008i | −0.280104 | − | 1.04536i | ||||
\(634\) | −7.22530 | − | 21.2205i | −0.286953 | − | 0.842775i | ||||
\(635\) | 7.25182 | + | 41.7021i | 0.287780 | + | 1.65490i | ||||
\(636\) | −16.5223 | + | 2.20631i | −0.655153 | + | 0.0874859i | ||||
\(637\) | −20.5246 | − | 16.9333i | −0.813212 | − | 0.670921i | ||||
\(638\) | 10.9560 | − | 0.728274i | 0.433752 | − | 0.0288326i | ||||
\(639\) | −2.54767 | − | 4.41270i | −0.100784 | − | 0.174564i | ||||
\(640\) | −23.5402 | + | 9.26602i | −0.930508 | + | 0.366271i | ||||
\(641\) | 11.0691 | − | 19.1723i | 0.437205 | − | 0.757261i | −0.560268 | − | 0.828311i | \(-0.689302\pi\) |
0.997473 | + | 0.0710506i | \(0.0226352\pi\) | |||||||
\(642\) | 10.6836 | + | 15.9571i | 0.421647 | + | 0.629778i | ||||
\(643\) | 33.1936 | − | 33.1936i | 1.30903 | − | 1.30903i | 0.386911 | − | 0.922117i | \(-0.373542\pi\) |
0.922117 | − | 0.386911i | \(-0.126458\pi\) | |||||||
\(644\) | −18.3198 | + | 26.5009i | −0.721903 | + | 1.04428i | ||||
\(645\) | 22.1407 | − | 10.2609i | 0.871789 | − | 0.404021i | ||||
\(646\) | −5.55808 | − | 1.10023i | −0.218680 | − | 0.0432879i | ||||
\(647\) | −1.16124 | − | 4.33380i | −0.0456530 | − | 0.170379i | 0.939335 | − | 0.343000i | \(-0.111443\pi\) |
−0.984988 | + | 0.172621i | \(0.944776\pi\) | |||||||
\(648\) | −10.1421 | + | 30.1523i | −0.398419 | + | 1.18449i | ||||
\(649\) | 3.34019 | − | 1.92846i | 0.131114 | − | 0.0756986i | ||||
\(650\) | −26.5808 | + | 3.98802i | −1.04258 | + | 0.156423i | ||||
\(651\) | −37.3898 | − | 8.12614i | −1.46542 | − | 0.318489i | ||||
\(652\) | −5.20033 | + | 6.80322i | −0.203661 | + | 0.266435i | ||||
\(653\) | 4.31650 | − | 16.1094i | 0.168918 | − | 0.630409i | −0.828590 | − | 0.559855i | \(-0.810857\pi\) |
0.997508 | − | 0.0705538i | \(-0.0224766\pi\) | |||||||
\(654\) | −2.29644 | − | 6.74459i | −0.0897980 | − | 0.263734i | ||||
\(655\) | 4.10929 | + | 0.369286i | 0.160563 | + | 0.0144292i | ||||
\(656\) | 33.0619 | + | 32.8181i | 1.29085 | + | 1.28133i | ||||
\(657\) | 3.71829 | + | 3.71829i | 0.145064 | + | 0.145064i | ||||
\(658\) | −7.41575 | + | 2.92731i | −0.289096 | + | 0.114119i | ||||
\(659\) | − | 24.1916i | − | 0.942371i | −0.882034 | − | 0.471185i | \(-0.843826\pi\) | ||
0.882034 | − | 0.471185i | \(-0.156174\pi\) | |||||||
\(660\) | −3.49477 | − | 11.1037i | −0.136034 | − | 0.432211i | ||||
\(661\) | −1.52079 | − | 0.878031i | −0.0591520 | − | 0.0341515i | 0.470132 | − | 0.882596i | \(-0.344206\pi\) |
−0.529284 | + | 0.848444i | \(0.677540\pi\) | |||||||
\(662\) | −21.6183 | + | 43.9401i | −0.840220 | + | 1.70778i | ||||
\(663\) | −15.0002 | + | 55.9815i | −0.582559 | + | 2.17414i | ||||
\(664\) | −20.7882 | + | 31.2994i | −0.806737 | + | 1.21465i | ||||
\(665\) | −3.31365 | − | 0.138704i | −0.128498 | − | 0.00537871i | ||||
\(666\) | −7.39408 | − | 6.47235i | −0.286515 | − | 0.250798i | ||||
\(667\) | −10.0279 | + | 37.4246i | −0.388282 | + | 1.44909i | ||||
\(668\) | 13.6648 | + | 32.8179i | 0.528707 | + | 1.26976i | ||||
\(669\) | 18.4369 | − | 31.9337i | 0.712813 | − | 1.23463i | ||||
\(670\) | −4.65822 | + | 1.13278i | −0.179963 | + | 0.0437632i | ||||
\(671\) | − | 5.43749i | − | 0.209912i | ||||||
\(672\) | 3.75482 | + | 31.7089i | 0.144845 | + | 1.22320i | ||||
\(673\) | 22.3958 | − | 22.3958i | 0.863296 | − | 0.863296i | −0.128424 | − | 0.991719i | \(-0.540992\pi\) |
0.991719 | + | 0.128424i | \(0.0409917\pi\) | |||||||
\(674\) | 7.32049 | − | 36.9814i | 0.281975 | − | 1.42447i | ||||
\(675\) | 6.59574 | − | 13.9721i | 0.253870 | − | 0.537787i | ||||
\(676\) | −2.67916 | − | 1.10394i | −0.103044 | − | 0.0424592i | ||||
\(677\) | −22.6386 | − | 6.06600i | −0.870073 | − | 0.233135i | −0.203954 | − | 0.978980i | \(-0.565379\pi\) |
−0.666120 | + | 0.745845i | \(0.732046\pi\) | |||||||
\(678\) | −0.995174 | − | 14.9712i | −0.0382194 | − | 0.574966i | ||||
\(679\) | −17.8124 | + | 19.6019i | −0.683579 | + | 0.752251i | ||||
\(680\) | 6.85731 | − | 44.6763i | 0.262966 | − | 1.71326i | ||||
\(681\) | −27.0410 | − | 46.8364i | −1.03621 | − | 1.79478i | ||||
\(682\) | −10.4947 | − | 5.16337i | −0.401864 | − | 0.197716i | ||||
\(683\) | 7.13026 | + | 26.6105i | 0.272832 | + | 1.01822i | 0.957280 | + | 0.289161i | \(0.0933764\pi\) |
−0.684448 | + | 0.729061i | \(0.739957\pi\) | |||||||
\(684\) | −1.06157 | − | 1.37817i | −0.0405900 | − | 0.0526957i | ||||
\(685\) | 13.8063 | − | 37.6559i | 0.527513 | − | 1.43876i | ||||
\(686\) | 19.4587 | − | 17.5316i | 0.742937 | − | 0.669361i | ||||
\(687\) | −24.2239 | + | 24.2239i | −0.924199 | + | 0.924199i | ||||
\(688\) | −20.4612 | + | 0.0757114i | −0.780075 | + | 0.00288647i | ||||
\(689\) | 12.8601 | + | 7.42480i | 0.489932 | + | 0.282862i | ||||
\(690\) | 41.0644 | + | 0.954943i | 1.56329 | + | 0.0363541i | ||||
\(691\) | −10.5132 | − | 18.2094i | −0.399942 | − | 0.692719i | 0.593777 | − | 0.804630i | \(-0.297636\pi\) |
−0.993718 | + | 0.111911i | \(0.964303\pi\) | |||||||
\(692\) | −21.1311 | − | 16.1524i | −0.803284 | − | 0.614024i | ||||
\(693\) | −5.00273 | + | 0.239270i | −0.190038 | + | 0.00908913i | ||||
\(694\) | −23.1302 | − | 20.2468i | −0.878010 | − | 0.768558i | ||||
\(695\) | 3.52512 | + | 2.48073i | 0.133715 | + | 0.0940994i | ||||
\(696\) | 17.0796 | + | 34.3931i | 0.647402 | + | 1.30367i | ||||
\(697\) | −80.3949 | + | 21.5418i | −3.04517 | + | 0.815952i | ||||
\(698\) | 11.1791 | + | 16.6972i | 0.423135 | + | 0.631999i | ||||
\(699\) | − | 10.7894i | − | 0.408091i | ||||||
\(700\) | −0.0341397 | − | 26.4575i | −0.00129036 | − | 0.999999i | ||||
\(701\) | − | 8.80433i | − | 0.332535i | −0.986081 | − | 0.166267i | \(-0.946829\pi\) | ||
0.986081 | − | 0.166267i | \(-0.0531715\pi\) | |||||||
\(702\) | 13.8034 | − | 9.24164i | 0.520977 | − | 0.348803i | ||||
\(703\) | −2.42503 | + | 0.649785i | −0.0914617 | + | 0.0245071i | ||||
\(704\) | −1.22027 | + | 9.68394i | −0.0459908 | + | 0.364977i | ||||
\(705\) | 8.31281 | + | 5.84996i | 0.313078 | + | 0.220322i | ||||
\(706\) | 22.2358 | − | 25.4025i | 0.836856 | − | 0.956034i | ||||
\(707\) | −1.64982 | + | 3.20170i | −0.0620477 | + | 0.120412i | ||||
\(708\) | 10.7164 | + | 8.19155i | 0.402748 | + | 0.307857i | ||||
\(709\) | 5.43606 | + | 9.41553i | 0.204155 | + | 0.353607i | 0.949863 | − | 0.312666i | \(-0.101222\pi\) |
−0.745708 | + | 0.666273i | \(0.767889\pi\) | |||||||
\(710\) | 0.241433 | − | 10.3821i | 0.00906082 | − | 0.389633i | ||||
\(711\) | 11.5166 | + | 6.64910i | 0.431905 | + | 0.249361i | ||||
\(712\) | −30.0744 | + | 26.5225i | −1.12708 | + | 0.993973i | ||||
\(713\) | 29.1831 | − | 29.1831i | 1.09292 | − | 1.09292i | ||||
\(714\) | −52.3337 | − | 22.7106i | −1.95854 | − | 0.849921i | ||||
\(715\) | −3.56977 | + | 9.73634i | −0.133502 | + | 0.364119i | ||||
\(716\) | −5.44785 | + | 4.19632i | −0.203596 | + | 0.156824i | ||||
\(717\) | 13.0348 | + | 48.6467i | 0.486795 | + | 1.81674i | ||||
\(718\) | 5.84240 | − | 11.8749i | 0.218036 | − | 0.443167i | ||||
\(719\) | 2.30066 | + | 3.98487i | 0.0858003 | + | 0.148611i | 0.905732 | − | 0.423851i | \(-0.139322\pi\) |
−0.819932 | + | 0.572461i | \(0.805989\pi\) | |||||||
\(720\) | 10.6189 | − | 8.93465i | 0.395745 | − | 0.332975i | ||||
\(721\) | −4.04960 | − | 0.880124i | −0.150815 | − | 0.0327775i | ||||
\(722\) | 26.3674 | − | 1.75271i | 0.981294 | − | 0.0652291i | ||||
\(723\) | −10.4428 | − | 2.79814i | −0.388371 | − | 0.104064i | ||||
\(724\) | −25.5899 | − | 10.5443i | −0.951043 | − | 0.391875i | ||||
\(725\) | −10.7414 | − | 29.9508i | −0.398927 | − | 1.11234i | ||||
\(726\) | 28.1511 | + | 5.57254i | 1.04479 | + | 0.206816i | ||||
\(727\) | 7.56189 | − | 7.56189i | 0.280455 | − | 0.280455i | −0.552836 | − | 0.833290i | \(-0.686454\pi\) |
0.833290 | + | 0.552836i | \(0.186454\pi\) | |||||||
\(728\) | 14.5877 | − | 24.4200i | 0.540656 | − | 0.905064i | ||||
\(729\) | 2.32683i | 0.0861788i | ||||||||
\(730\) | 2.53243 | + | 10.4138i | 0.0937293 | + | 0.385433i | ||||
\(731\) | 18.2788 | − | 31.6598i | 0.676065 | − | 1.17098i | ||||
\(732\) | 17.5553 | − | 7.30972i | 0.648862 | − | 0.270175i | ||||
\(733\) | −6.89100 | + | 25.7175i | −0.254525 | + | 0.949899i | 0.713829 | + | 0.700320i | \(0.246959\pi\) |
−0.968354 | + | 0.249580i | \(0.919708\pi\) | |||||||
\(734\) | 5.60549 | − | 6.40377i | 0.206902 | − | 0.236368i | ||||
\(735\) | −32.3067 | − | 8.45059i | −1.19165 | − | 0.311705i | ||||
\(736\) | −30.9594 | − | 15.0899i | −1.14118 | − | 0.556220i | ||||
\(737\) | −0.478713 | + | 1.78658i | −0.0176336 | + | 0.0658095i | ||||
\(738\) | −22.9296 | − | 11.2813i | −0.844051 | − | 0.415270i | ||||
\(739\) | 39.1224 | + | 22.5873i | 1.43914 | + | 0.830888i | 0.997790 | − | 0.0664466i | \(-0.0211662\pi\) |
0.441351 | + | 0.897335i | \(0.354500\pi\) | |||||||
\(740\) | −6.01278 | − | 19.1040i | −0.221034 | − | 0.702277i | ||||
\(741\) | 4.54622i | 0.167009i | ||||||||
\(742\) | −9.09115 | + | 11.4460i | −0.333746 | + | 0.420197i | ||||
\(743\) | 30.0474 | + | 30.0474i | 1.10233 | + | 1.10233i | 0.994129 | + | 0.108205i | \(0.0345103\pi\) |
0.108205 | + | 0.994129i | \(0.465490\pi\) | |||||||
\(744\) | 2.56200 | − | 40.8242i | 0.0939273 | − | 1.49669i | ||||
\(745\) | 7.96814 | + | 0.716067i | 0.291930 | + | 0.0262347i | ||||
\(746\) | 6.43854 | − | 2.19224i | 0.235732 | − | 0.0802635i | ||||
\(747\) | 5.33469 | − | 19.9093i | 0.195186 | − | 0.728444i | ||||
\(748\) | −13.8547 | − | 10.5904i | −0.506579 | − | 0.387225i | ||||
\(749\) | 16.4554 | + | 3.57635i | 0.601267 | + | 0.130677i | ||||
\(750\) | −28.1625 | + | 18.5680i | −1.02835 | + | 0.678006i | ||||
\(751\) | 29.7193 | − | 17.1584i | 1.08447 | − | 0.626120i | 0.152373 | − | 0.988323i | \(-0.451309\pi\) |
0.932099 | + | 0.362203i | \(0.117975\pi\) | |||||||
\(752\) | −4.28882 | − | 7.36539i | −0.156397 | − | 0.268588i | ||||
\(753\) | 11.8557 | + | 44.2459i | 0.432044 | + | 1.61241i | ||||
\(754\) | 6.64285 | − | 33.5581i | 0.241918 | − | 1.22211i | ||||
\(755\) | −15.4444 | + | 7.15754i | −0.562080 | + | 0.260490i | ||||
\(756\) | 6.99935 | + | 14.7777i | 0.254564 | + | 0.537459i | ||||
\(757\) | 4.41129 | − | 4.41129i | 0.160331 | − | 0.160331i | −0.622382 | − | 0.782713i | \(-0.713835\pi\) |
0.782713 | + | 0.622382i | \(0.213835\pi\) | |||||||
\(758\) | 26.2547 | − | 17.5780i | 0.953612 | − | 0.638460i | ||||
\(759\) | 7.92384 | − | 13.7245i | 0.287617 | − | 0.498167i | ||||
\(760\) | −0.387459 | − | 3.52431i | −0.0140546 | − | 0.127840i | ||||
\(761\) | 8.27236 | + | 14.3282i | 0.299873 | + | 0.519395i | 0.976107 | − | 0.217292i | \(-0.0697224\pi\) |
−0.676234 | + | 0.736687i | \(0.736389\pi\) | |||||||
\(762\) | 3.78811 | + | 56.9877i | 0.137229 | + | 2.06444i | ||||
\(763\) | −5.55382 | − | 2.86185i | −0.201062 | − | 0.103606i | ||||
\(764\) | 2.73229 | + | 20.4612i | 0.0988507 | + | 0.740260i | ||||
\(765\) | 4.24795 | + | 24.4282i | 0.153585 | + | 0.883202i | ||||
\(766\) | −26.4954 | + | 9.02131i | −0.957317 | + | 0.325953i | ||||
\(767\) | −3.11007 | − | 11.6069i | −0.112298 | − | 0.419102i | ||||
\(768\) | −32.9057 | + | 9.07857i | −1.18738 | + | 0.327595i | ||||
\(769\) | 26.3718i | 0.950991i | 0.879718 | + | 0.475496i | \(0.157731\pi\) | ||||
−0.879718 | + | 0.475496i | \(0.842269\pi\) | |||||||
\(770\) | −8.96279 | − | 4.88543i | −0.322996 | − | 0.176059i | ||||
\(771\) | 29.8176 | 1.07385 | ||||||||
\(772\) | −12.6261 | − | 1.63850i | −0.454423 | − | 0.0589709i | ||||
\(773\) | −41.5422 | + | 11.1312i | −1.49417 | + | 0.400362i | −0.911143 | − | 0.412091i | \(-0.864799\pi\) |
−0.583027 | + | 0.812453i | \(0.698132\pi\) | |||||||
\(774\) | 10.6253 | − | 3.61777i | 0.381919 | − | 0.130038i | ||||
\(775\) | −6.04294 | + | 33.3503i | −0.217069 | + | 1.19798i | ||||
\(776\) | −23.5865 | − | 15.6655i | −0.846708 | − | 0.562359i | ||||
\(777\) | −25.2496 | + | 1.20763i | −0.905823 | + | 0.0433237i | ||||
\(778\) | 19.6930 | − | 1.30905i | 0.706030 | − | 0.0469316i | ||||
\(779\) | −5.65412 | + | 3.26441i | −0.202580 | + | 0.116960i | ||||
\(780\) | −36.2333 | + | 1.56351i | −1.29736 | + | 0.0559825i | ||||
\(781\) | −3.46989 | − | 2.00334i | −0.124162 | − | 0.0716852i | ||||
\(782\) | 51.1326 | − | 34.2342i | 1.82850 | − | 1.22421i | ||||
\(783\) | 13.9051 | + | 13.9051i | 0.496928 | + | 0.496928i | ||||
\(784\) | 21.6640 | + | 17.7390i | 0.773713 | + | 0.633536i | ||||
\(785\) | −11.0843 | − | 4.06401i | −0.395617 | − | 0.145051i | ||||
\(786\) | 5.46107 | + | 1.08102i | 0.194790 | + | 0.0385588i | ||||
\(787\) | −4.31539 | + | 1.15631i | −0.153827 | + | 0.0412179i | −0.334911 | − | 0.942250i | \(-0.608706\pi\) |
0.181084 | + | 0.983468i | \(0.442040\pi\) | |||||||
\(788\) | −4.23027 | − | 10.1596i | −0.150697 | − | 0.361920i | ||||
\(789\) | 14.0329 | + | 24.3057i | 0.499585 | + | 0.865307i | ||||
\(790\) | 13.0023 | + | 23.7808i | 0.462599 | + | 0.846082i | ||||
\(791\) | −9.73748 | − | 8.84855i | −0.346225 | − | 0.314618i | ||||
\(792\) | −1.05913 | − | 5.24846i | −0.0376347 | − | 0.186496i | ||||
\(793\) | −16.3635 | − | 4.38459i | −0.581085 | − | 0.155701i | ||||
\(794\) | 16.9207 | + | 49.6957i | 0.600493 | + | 1.76363i | ||||
\(795\) | 18.5617 | + | 1.66807i | 0.658315 | + | 0.0591603i | ||||
\(796\) | 4.04814 | + | 5.25548i | 0.143482 | + | 0.186275i | ||||
\(797\) | 21.9618 | − | 21.9618i | 0.777929 | − | 0.777929i | −0.201550 | − | 0.979478i | \(-0.564598\pi\) |
0.979478 | + | 0.201550i | \(0.0645978\pi\) | |||||||
\(798\) | −4.42637 | − | 0.658267i | −0.156692 | − | 0.0233024i | ||||
\(799\) | 15.2279 | 0.538724 | ||||||||
\(800\) | 27.9555 | − | 4.30011i | 0.988376 | − | 0.152032i | ||||
\(801\) | 10.9984 | − | 19.0497i | 0.388608 | − | 0.673089i | ||||
\(802\) | 6.51840 | − | 13.2489i | 0.230173 | − | 0.467835i | ||||
\(803\) | 3.99404 | + | 1.07020i | 0.140947 | + | 0.0377666i | ||||
\(804\) | −6.41163 | + | 0.856179i | −0.226121 | + | 0.0301951i | ||||
\(805\) | 26.5124 | − | 24.3821i | 0.934441 | − | 0.859355i | ||||
\(806\) | −24.0011 | + | 27.4191i | −0.845403 | + | 0.965798i | ||||
\(807\) | −24.4452 | − | 6.55008i | −0.860513 | − | 0.230574i | ||||
\(808\) | −3.64954 | − | 1.22757i | −0.128390 | − | 0.0431857i | ||||
\(809\) | 15.7868 | + | 9.11454i | 0.555036 | + | 0.320450i | 0.751151 | − | 0.660131i | \(-0.229499\pi\) |
−0.196115 | + | 0.980581i | \(0.562833\pi\) | |||||||
\(810\) | 18.4949 | − | 30.3803i | 0.649845 | − | 1.06746i | ||||
\(811\) | 6.86574 | 0.241089 | 0.120544 | − | 0.992708i | \(-0.461536\pi\) | ||||
0.120544 | + | 0.992708i | \(0.461536\pi\) | |||||||
\(812\) | 31.7116 | + | 11.3268i | 1.11286 | + | 0.397491i | ||||
\(813\) | 25.5092 | + | 25.5092i | 0.894646 | + | 0.894646i | ||||
\(814\) | −7.58005 | − | 1.50048i | −0.265680 | − | 0.0525917i | ||||
\(815\) | 7.34851 | − | 6.13665i | 0.257407 | − | 0.214957i | ||||
\(816\) | 15.5668 | − | 58.9678i | 0.544945 | − | 2.06429i | ||||
\(817\) | 0.742203 | − | 2.76994i | 0.0259664 | − | 0.0969079i | ||||
\(818\) | 1.40917 | + | 21.1992i | 0.0492703 | + | 0.741213i | ||||
\(819\) | −3.31396 | + | 15.2481i | −0.115799 | + | 0.532811i | ||||
\(820\) | −27.9619 | − | 43.9406i | −0.976470 | − | 1.53447i | ||||
\(821\) | −12.7231 | + | 7.34570i | −0.444040 | + | 0.256367i | −0.705310 | − | 0.708899i | \(-0.749192\pi\) |
0.261270 | + | 0.965266i | \(0.415859\pi\) | |||||||
\(822\) | 23.8904 | − | 48.5581i | 0.833272 | − | 1.69366i | ||||
\(823\) | 54.6507 | − | 14.6436i | 1.90500 | − | 0.510444i | 0.909503 | − | 0.415698i | \(-0.136463\pi\) |
0.995501 | − | 0.0947461i | \(-0.0302039\pi\) | |||||||
\(824\) | 0.277484 | − | 4.42157i | 0.00966661 | − | 0.154033i | ||||
\(825\) | 1.07312 | + | 12.9704i | 0.0373613 | + | 0.451570i | ||||
\(826\) | 11.7513 | − | 1.34746i | 0.408879 | − | 0.0468841i | ||||
\(827\) | 27.8631 | + | 27.8631i | 0.968896 | + | 0.968896i | 0.999531 | − | 0.0306351i | \(-0.00975299\pi\) |
−0.0306351 | + | 0.999531i | \(0.509753\pi\) | |||||||
\(828\) | 18.7360 | + | 2.43139i | 0.651122 | + | 0.0844966i | ||||
\(829\) | 3.68561 | − | 6.38366i | 0.128006 | − | 0.221714i | −0.794898 | − | 0.606744i | \(-0.792476\pi\) |
0.922904 | + | 0.385030i | \(0.125809\pi\) | |||||||
\(830\) | 30.3873 | − | 29.0062i | 1.05476 | − | 1.00682i | ||||
\(831\) | 41.4827 | − | 23.9501i | 1.43902 | − | 0.830818i | ||||
\(832\) | 28.1587 | + | 11.4810i | 0.976227 | + | 0.398033i | ||||
\(833\) | −46.8657 | + | 17.5005i | −1.62380 | + | 0.606356i | ||||
\(834\) | 4.37639 | + | 3.83084i | 0.151542 | + | 0.132651i | ||||
\(835\) | −6.80932 | − | 39.1575i | −0.235646 | − | 1.35510i | ||||
\(836\) | −1.26477 | − | 0.521147i | −0.0437431 | − | 0.0180243i | ||||
\(837\) | −5.42149 | − | 20.2333i | −0.187394 | − | 0.699365i | ||||
\(838\) | −43.4724 | + | 29.1055i | −1.50173 | + | 1.00543i | ||||
\(839\) | 12.1927 | 0.420939 | 0.210469 | − | 0.977600i | \(-0.432501\pi\) | ||||
0.210469 | + | 0.977600i | \(0.432501\pi\) | |||||||
\(840\) | 3.72410 | − | 35.5045i | 0.128494 | − | 1.22502i | ||||
\(841\) | 11.4971 | 0.396451 | ||||||||
\(842\) | 4.00564 | − | 2.68184i | 0.138043 | − | 0.0924224i | ||||
\(843\) | 0.0803243 | + | 0.299774i | 0.00276651 | + | 0.0103248i | ||||
\(844\) | 9.72454 | − | 23.6005i | 0.334732 | − | 0.812363i | ||||
\(845\) | 2.64942 | + | 1.86447i | 0.0911429 | + | 0.0641399i | ||||
\(846\) | 3.51804 | + | 3.07949i | 0.120953 | + | 0.105875i | ||||
\(847\) | 21.1675 | − | 13.6092i | 0.727323 | − | 0.467619i | ||||
\(848\) | −13.5617 | − | 7.76306i | −0.465709 | − | 0.266585i | ||||
\(849\) | −8.96974 | + | 5.17868i | −0.307841 | + | 0.177732i | ||||
\(850\) | −18.4942 | + | 47.0288i | −0.634344 | + | 1.61307i | ||||
\(851\) | 13.6330 | − | 23.6131i | 0.467334 | − | 0.809447i | ||||
\(852\) | 1.80328 | − | 13.8959i | 0.0617794 | − | 0.476065i | ||||
\(853\) | 17.5060 | + | 17.5060i | 0.599392 | + | 0.599392i | 0.940151 | − | 0.340758i | \(-0.110684\pi\) |
−0.340758 | + | 0.940151i | \(0.610684\pi\) | |||||||
\(854\) | 6.63834 | − | 15.2973i | 0.227159 | − | 0.523461i | ||||
\(855\) | 0.817813 | + | 1.76466i | 0.0279686 | + | 0.0603502i | ||||
\(856\) | −1.12755 | + | 17.9669i | −0.0385387 | + | 0.614096i | ||||
\(857\) | 0.653123 | − | 0.175004i | 0.0223103 | − | 0.00597802i | −0.247647 | − | 0.968850i | \(-0.579657\pi\) |
0.269957 | + | 0.962872i | \(0.412991\pi\) | |||||||
\(858\) | −6.17711 | + | 12.5552i | −0.210883 | + | 0.428628i | ||||
\(859\) | 15.8036 | − | 9.12420i | 0.539211 | − | 0.311314i | −0.205548 | − | 0.978647i | \(-0.565898\pi\) |
0.744759 | + | 0.667333i | \(0.232564\pi\) | |||||||
\(860\) | 22.3317 | + | 4.96274i | 0.761504 | + | 0.169228i | ||||
\(861\) | −62.6119 | + | 20.0281i | −2.13381 | + | 0.682555i | ||||
\(862\) | 3.15696 | + | 47.4927i | 0.107526 | + | 1.61761i | ||||
\(863\) | 2.08380 | − | 7.77686i | 0.0709335 | − | 0.264727i | −0.921347 | − | 0.388741i | \(-0.872910\pi\) |
0.992281 | + | 0.124014i | \(0.0395767\pi\) | |||||||
\(864\) | −14.4894 | + | 9.77874i | −0.492939 | + | 0.332680i | ||||
\(865\) | 19.0607 | + | 22.8248i | 0.648083 | + | 0.776066i | ||||
\(866\) | −1.15666 | − | 0.228963i | −0.0393050 | − | 0.00778047i | ||||
\(867\) | 51.4043 | + | 51.4043i | 1.74578 | + | 1.74578i | ||||
\(868\) | −23.2211 | − | 27.3385i | −0.788175 | − | 0.927930i | ||||
\(869\) | 10.4569 | 0.354727 | ||||||||
\(870\) | −10.1448 | − | 41.7173i | −0.343941 | − | 1.41435i | ||||
\(871\) | 4.99049 | + | 2.88126i | 0.169096 | + | 0.0976278i | ||||
\(872\) | 2.12939 | − | 6.33066i | 0.0721104 | − | 0.214383i | ||||
\(873\) | 15.0033 | + | 4.02011i | 0.507783 | + | 0.136060i | ||||
\(874\) | 3.17925 | − | 3.63201i | 0.107540 | − | 0.122855i | ||||
\(875\) | −6.48663 | + | 28.8604i | −0.219288 | + | 0.975660i | ||||
\(876\) | 1.91406 | + | 14.3337i | 0.0646699 | + | 0.484291i | ||||
\(877\) | −15.3897 | − | 4.12364i | −0.519672 | − | 0.139246i | −0.0105569 | − | 0.999944i | \(-0.503360\pi\) |
−0.509115 | + | 0.860699i | \(0.670027\pi\) | |||||||
\(878\) | 0.625060 | − | 1.27046i | 0.0210948 | − | 0.0428759i | ||||
\(879\) | −25.2641 | + | 43.7586i | −0.852135 | + | 1.47594i | ||||
\(880\) | 3.71857 | − | 10.2595i | 0.125353 | − | 0.345847i | ||||
\(881\) | −10.1439 | −0.341757 | −0.170878 | − | 0.985292i | \(-0.554661\pi\) | ||||
−0.170878 | + | 0.985292i | \(0.554661\pi\) | |||||||
\(882\) | −14.3663 | − | 5.43443i | −0.483737 | − | 0.182987i | ||||
\(883\) | 2.45257 | − | 2.45257i | 0.0825357 | − | 0.0825357i | −0.664634 | − | 0.747169i | \(-0.731412\pi\) |
0.747169 | + | 0.664634i | \(0.231412\pi\) | |||||||
\(884\) | −43.0426 | + | 33.1545i | −1.44768 | + | 1.11511i | ||||
\(885\) | −9.66644 | − | 11.5754i | −0.324934 | − | 0.389102i | ||||
\(886\) | −18.0906 | − | 53.1318i | −0.607767 | − | 1.78500i | ||||
\(887\) | 36.5226 | + | 9.78621i | 1.22631 | + | 0.328589i | 0.813141 | − | 0.582066i | \(-0.197756\pi\) |
0.413168 | + | 0.910655i | \(0.364422\pi\) | |||||||
\(888\) | −5.34561 | − | 26.4898i | −0.179387 | − | 0.888939i | ||||
\(889\) | 37.0655 | + | 33.6818i | 1.24314 | + | 1.12965i | ||||
\(890\) | 39.3361 | − | 21.5072i | 1.31855 | − | 0.720923i | ||||
\(891\) | −6.86124 | − | 11.8840i | −0.229860 | − | 0.398130i | ||||
\(892\) | 31.9117 | − | 13.2875i | 1.06848 | − | 0.444897i | ||||
\(893\) | 1.15381 | − | 0.309162i | 0.0386107 | − | 0.0103457i | ||||
\(894\) | 10.5893 | + | 2.09616i | 0.354160 | + | 0.0701062i | ||||
\(895\) | 6.97563 | − | 3.23278i | 0.233170 | − | 0.108060i | ||||
\(896\) | −15.2556 | + | 25.7540i | −0.509653 | + | 0.860380i | ||||
\(897\) | −34.9128 | − | 34.9128i | −1.16570 | − | 1.16570i | ||||
\(898\) | −16.0563 | + | 10.7500i | −0.535806 | + | 0.358732i | ||||
\(899\) | −37.3583 | − | 21.5688i | −1.24597 | − | 0.719361i | ||||
\(900\) | −13.7831 | + | 7.12486i | −0.459437 | + | 0.237495i | ||||
\(901\) | 24.1787 | − | 13.9596i | 0.805508 | − | 0.465060i | ||||
\(902\) | −20.0503 | + | 1.33280i | −0.667604 | + | 0.0443773i | ||||
\(903\) | 13.2258 | − | 25.6666i | 0.440127 | − | 0.854130i | ||||
\(904\) | 7.78204 | − | 11.7169i | 0.258827 | − | 0.389698i | ||||
\(905\) | 25.3059 | + | 17.8085i | 0.841198 | + | 0.591975i | ||||
\(906\) | −21.7426 | + | 7.40306i | −0.722349 | + | 0.245950i | ||||
\(907\) | −28.2090 | + | 7.55859i | −0.936666 | + | 0.250979i | −0.694695 | − | 0.719305i | \(-0.744461\pi\) |
−0.241971 | + | 0.970284i | \(0.577794\pi\) | |||||||
\(908\) | 6.52459 | − | 50.2778i | 0.216526 | − | 1.66853i | ||||
\(909\) | 2.11222 | 0.0700580 | ||||||||
\(910\) | −21.9294 | + | 23.0330i | −0.726952 | + | 0.763538i | ||||
\(911\) | 5.25924i | 0.174246i | 0.996198 | + | 0.0871231i | \(0.0277674\pi\) | ||||
−0.996198 | + | 0.0871231i | \(0.972233\pi\) | |||||||
\(912\) | −0.0177020 | − | 4.78399i | −0.000586170 | − | 0.158414i | ||||
\(913\) | −4.19489 | − | 15.6555i | −0.138830 | − | 0.518122i | ||||
\(914\) | −34.0907 | + | 11.6074i | −1.12762 | + | 0.383939i | ||||
\(915\) | −20.9465 | + | 3.64251i | −0.692471 | + | 0.120418i | ||||
\(916\) | −31.8325 | + | 4.25075i | −1.05177 | + | 0.140449i | ||||
\(917\) | 4.10630 | − | 2.64007i | 0.135602 | − | 0.0871828i | ||||
\(918\) | −2.07148 | − | 31.1630i | −0.0683691 | − | 1.02853i | ||||
\(919\) | −6.21967 | − | 10.7728i | −0.205168 | − | 0.355361i | 0.745018 | − | 0.667044i | \(-0.232441\pi\) |
−0.950186 | + | 0.311683i | \(0.899107\pi\) | |||||||
\(920\) | 30.0405 | + | 24.0895i | 0.990406 | + | 0.794208i | ||||
\(921\) | 8.74595 | − | 15.1484i | 0.288189 | − | 0.499158i | ||||
\(922\) | −31.5715 | + | 21.1377i | −1.03975 | + | 0.696133i | ||||
\(923\) | −8.82681 | + | 8.82681i | −0.290538 | + | 0.290538i | ||||
\(924\) | −11.3298 | − | 7.83219i | −0.372723 | − | 0.257660i | ||||
\(925\) | 1.84631 | + | 22.3156i | 0.0607065 | + | 0.733733i | ||||
\(926\) | −8.26624 | + | 41.7590i | −0.271645 | + | 1.37229i | ||||
\(927\) | 0.629004 | + | 2.34747i | 0.0206592 | + | 0.0771012i | ||||
\(928\) | −6.85962 | + | 35.3391i | −0.225178 | + | 1.16006i | ||||
\(929\) | −19.8821 | + | 11.4790i | −0.652312 | + | 0.376612i | −0.789341 | − | 0.613955i | \(-0.789578\pi\) |
0.137030 | + | 0.990567i | \(0.456244\pi\) | |||||||
\(930\) | −12.8602 | + | 43.8872i | −0.421704 | + | 1.43912i | ||||
\(931\) | −3.19568 | + | 2.27748i | −0.104734 | + | 0.0746415i | ||||
\(932\) | 6.14247 | − | 8.03577i | 0.201203 | − | 0.263220i | ||||
\(933\) | 10.6069 | − | 39.5856i | 0.347256 | − | 1.29598i | ||||
\(934\) | −7.37053 | + | 2.50956i | −0.241171 | + | 0.0821154i | ||||
\(935\) | 12.4973 | + | 14.9652i | 0.408704 | + | 0.489415i | ||||
\(936\) | −16.6487 | − | 1.04482i | −0.544179 | − | 0.0341510i | ||||
\(937\) | −29.5597 | − | 29.5597i | −0.965672 | − | 0.965672i | 0.0337577 | − | 0.999430i | \(-0.489253\pi\) |
−0.999430 | + | 0.0337577i | \(0.989253\pi\) | |||||||
\(938\) | −3.52790 | + | 4.44174i | −0.115190 | + | 0.145028i | ||||
\(939\) | − | 48.7043i | − | 1.58941i | ||||||
\(940\) | 2.86083 | + | 9.08952i | 0.0933100 | + | 0.296467i | ||||
\(941\) | −15.3661 | − | 8.87162i | −0.500920 | − | 0.289206i | 0.228173 | − | 0.973621i | \(-0.426725\pi\) |
−0.729093 | + | 0.684414i | \(0.760058\pi\) | |||||||
\(942\) | −14.2935 | − | 7.03233i | −0.465707 | − | 0.229126i | ||||
\(943\) | 18.3518 | − | 68.4900i | 0.597618 | − | 2.23034i | ||||
\(944\) | 3.31793 | + | 12.2019i | 0.107989 | + | 0.397138i | ||||
\(945\) | −3.98895 | − | 17.8410i | −0.129760 | − | 0.580368i | ||||
\(946\) | 5.81335 | − | 6.64123i | 0.189008 | − | 0.215925i | ||||
\(947\) | 6.98080 | − | 26.0527i | 0.226845 | − | 0.846598i | −0.754811 | − | 0.655942i | \(-0.772272\pi\) |
0.981657 | − | 0.190657i | \(-0.0610617\pi\) | |||||||
\(948\) | 14.0574 | + | 33.7608i | 0.456564 | + | 1.09650i | ||||
\(949\) | 6.44129 | − | 11.1566i | 0.209093 | − | 0.362160i | ||||
\(950\) | −0.446496 | + | 3.93881i | −0.0144862 | + | 0.127792i | ||||
\(951\) | 33.8174i | 1.09661i | ||||||||
\(952\) | −26.0481 | − | 46.7085i | −0.844224 | − | 1.51383i | ||||
\(953\) | 19.2269 | − | 19.2269i | 0.622822 | − | 0.622822i | −0.323430 | − | 0.946252i | \(-0.604836\pi\) |
0.946252 | + | 0.323430i | \(0.104836\pi\) | |||||||
\(954\) | 8.40889 | + | 1.66455i | 0.272248 | + | 0.0538917i | ||||
\(955\) | 2.06573 | − | 22.9867i | 0.0668455 | − | 0.743833i | ||||
\(956\) | −17.9868 | + | 43.6522i | −0.581735 | + | 1.41181i | ||||
\(957\) | −16.0000 | − | 4.28718i | −0.517206 | − | 0.138585i | ||||
\(958\) | −10.0051 | + | 0.665067i | −0.323252 | + | 0.0214874i | ||||
\(959\) | −14.4582 | − | 45.1993i | −0.466880 | − | 1.45956i | ||||
\(960\) | 38.1223 | − | 1.78637i | 1.23039 | − | 0.0576547i | ||||
\(961\) | 7.47524 | + | 12.9475i | 0.241137 | + | 0.417661i | ||||
\(962\) | −10.6278 | + | 21.6013i | −0.342653 | + | 0.696455i | ||||
\(963\) | −2.55593 | − | 9.53887i | −0.0823638 | − | 0.307386i | ||||
\(964\) | −6.18463 | − | 8.02917i | −0.199194 | − | 0.258602i | ||||
\(965\) | 13.3648 | + | 4.90012i | 0.430228 | + | 0.157741i | ||||
\(966\) | 39.0476 | − | 28.9372i | 1.25633 | − | 0.931039i | ||||
\(967\) | 34.6653 | − | 34.6653i | 1.11476 | − | 1.11476i | 0.122262 | − | 0.992498i | \(-0.460985\pi\) |
0.992498 | − | 0.122262i | \(-0.0390148\pi\) | |||||||
\(968\) | 17.7941 | + | 20.1770i | 0.571923 | + | 0.648514i | ||||
\(969\) | 7.40231 | + | 4.27373i | 0.237797 | + | 0.137292i | ||||
\(970\) | 21.8584 | + | 22.8993i | 0.701832 | + | 0.735251i | ||||
\(971\) | 2.37752 | + | 4.11799i | 0.0762983 | + | 0.132153i | 0.901650 | − | 0.432466i | \(-0.142357\pi\) |
−0.825352 | + | 0.564619i | \(0.809023\pi\) | |||||||
\(972\) | 17.8849 | − | 23.3976i | 0.573659 | − | 0.750478i | ||||
\(973\) | 5.09444 | − | 0.243656i | 0.163320 | − | 0.00781127i | ||||
\(974\) | −9.52274 | + | 10.8789i | −0.305128 | + | 0.348582i | ||||
\(975\) | 39.8981 | + | 7.22937i | 1.27776 | + | 0.231525i | ||||
\(976\) | 17.2364 | + | 4.55019i | 0.551724 | + | 0.145648i | ||||
\(977\) | 26.9316 | − | 7.21631i | 0.861620 | − | 0.230870i | 0.199159 | − | 0.979967i | \(-0.436179\pi\) |
0.662460 | + | 0.749097i | \(0.269512\pi\) | |||||||
\(978\) | 10.7344 | − | 7.18684i | 0.343247 | − | 0.229810i | ||||
\(979\) | − | 17.2969i | − | 0.552812i | ||||||
\(980\) | −19.2506 | − | 24.6863i | −0.614937 | − | 0.788576i | ||||
\(981\) | 3.66396i | 0.116981i | ||||||||
\(982\) | 27.0327 | + | 40.3763i | 0.862647 | + | 1.28846i | ||||
\(983\) | −37.1680 | + | 9.95915i | −1.18548 | + | 0.317647i | −0.797096 | − | 0.603852i | \(-0.793632\pi\) |
−0.388380 | + | 0.921499i | \(0.626965\pi\) | |||||||
\(984\) | −31.2571 | − | 62.9422i | −0.996440 | − | 2.00652i | ||||
\(985\) | 2.10799 | + | 12.1222i | 0.0671661 | + | 0.386244i | ||||
\(986\) | −48.3958 | − | 42.3628i | −1.54124 | − | 1.34911i | ||||
\(987\) | 12.0135 | − | 0.574582i | 0.382395 | − | 0.0182891i | ||||
\(988\) | −2.58820 | + | 3.38596i | −0.0823415 | + | 0.107722i | ||||
\(989\) | 15.5720 | + | 26.9716i | 0.495162 | + | 0.857646i | ||||
\(990\) | −0.139171 | + | 5.98463i | −0.00442315 | + | 0.190204i | ||||
\(991\) | −17.3809 | − | 10.0349i | −0.552124 | − | 0.318769i | 0.197854 | − | 0.980231i | \(-0.436603\pi\) |
−0.749978 | + | 0.661462i | \(0.769936\pi\) | |||||||
\(992\) | 25.1497 | − | 28.9467i | 0.798502 | − | 0.919058i | ||||
\(993\) | 52.2375 | − | 52.2375i | 1.65771 | − | 1.65771i | ||||
\(994\) | −7.31604 | − | 9.87218i | −0.232051 | − | 0.313127i | ||||
\(995\) | −3.11862 | − | 6.72930i | −0.0988669 | − | 0.213333i | ||||
\(996\) | 44.9056 | − | 34.5895i | 1.42289 | − | 1.09601i | ||||
\(997\) | 15.0744 | + | 56.2585i | 0.477411 | + | 1.78172i | 0.612039 | + | 0.790827i | \(0.290349\pi\) |
−0.134628 | + | 0.990896i | \(0.542984\pi\) | |||||||
\(998\) | −0.523373 | − | 0.257497i | −0.0165671 | − | 0.00815094i | ||||
\(999\) | −6.91939 | − | 11.9847i | −0.218920 | − | 0.379181i |
(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 | 280.2.br.a.67.14 | ✓ | 176 | |
5.3 | odd | 4 | inner | 280.2.br.a.123.10 | yes | 176 | |
7.2 | even | 3 | inner | 280.2.br.a.107.17 | yes | 176 | |
8.3 | odd | 2 | inner | 280.2.br.a.67.39 | yes | 176 | |
35.23 | odd | 12 | inner | 280.2.br.a.163.39 | yes | 176 | |
40.3 | even | 4 | inner | 280.2.br.a.123.17 | yes | 176 | |
56.51 | odd | 6 | inner | 280.2.br.a.107.10 | yes | 176 | |
280.163 | even | 12 | inner | 280.2.br.a.163.14 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.br.a.67.14 | ✓ | 176 | 1.1 | even | 1 | trivial | |
280.2.br.a.67.39 | yes | 176 | 8.3 | odd | 2 | inner | |
280.2.br.a.107.10 | yes | 176 | 56.51 | odd | 6 | inner | |
280.2.br.a.107.17 | yes | 176 | 7.2 | even | 3 | inner | |
280.2.br.a.123.10 | yes | 176 | 5.3 | odd | 4 | inner | |
280.2.br.a.123.17 | yes | 176 | 40.3 | even | 4 | inner | |
280.2.br.a.163.14 | yes | 176 | 280.163 | even | 12 | inner | |
280.2.br.a.163.39 | yes | 176 | 35.23 | odd | 12 | inner |