Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(97,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.q (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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 103.1 | ||
Character | \(\chi\) | \(=\) | 370.103 |
Dual form | 370.2.q.f.97.1 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | −0.875179 | − | 3.26621i | −0.505285 | − | 1.88575i | −0.462407 | − | 0.886668i | \(-0.653014\pi\) |
−0.0428780 | − | 0.999080i | \(-0.513653\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −0.0954522 | − | 2.23403i | −0.0426875 | − | 0.999088i | ||||
\(6\) | 2.39103 | − | 2.39103i | 0.976135 | − | 0.976135i | ||||
\(7\) | −0.371808 | − | 1.38761i | −0.140530 | − | 0.524466i | −0.999914 | − | 0.0131346i | \(-0.995819\pi\) |
0.859383 | − | 0.511332i | \(-0.170848\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −7.30413 | + | 4.21704i | −2.43471 | + | 1.40568i | ||||
\(10\) | 1.88700 | − | 1.19968i | 0.596722 | − | 0.379372i | ||||
\(11\) | 3.50418i | 1.05655i | 0.849074 | + | 0.528274i | \(0.177161\pi\) | ||||
−0.849074 | + | 0.528274i | \(0.822839\pi\) | |||||||
\(12\) | 3.26621 | + | 0.875179i | 0.942874 | + | 0.252642i | ||||
\(13\) | 2.36301 | − | 4.09285i | 0.655380 | − | 1.13515i | −0.326418 | − | 0.945226i | \(-0.605842\pi\) |
0.981798 | − | 0.189926i | \(-0.0608250\pi\) | |||||||
\(14\) | 1.01580 | − | 1.01580i | 0.271484 | − | 0.271484i | ||||
\(15\) | −7.21328 | + | 2.26694i | −1.86246 | + | 0.585322i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −0.841769 | + | 0.485996i | −0.204159 | + | 0.117871i | −0.598594 | − | 0.801053i | \(-0.704274\pi\) |
0.394435 | + | 0.918924i | \(0.370940\pi\) | |||||||
\(18\) | −7.30413 | − | 4.21704i | −1.72160 | − | 0.993966i | ||||
\(19\) | −2.83888 | + | 0.760674i | −0.651283 | + | 0.174511i | −0.569309 | − | 0.822124i | \(-0.692789\pi\) |
−0.0819740 | + | 0.996634i | \(0.526122\pi\) | |||||||
\(20\) | 1.98245 | + | 1.03435i | 0.443290 | + | 0.231288i | ||||
\(21\) | −4.20682 | + | 2.42881i | −0.918004 | + | 0.530010i | ||||
\(22\) | −3.03471 | + | 1.75209i | −0.647001 | + | 0.373546i | ||||
\(23\) | −4.40324 | −0.918140 | −0.459070 | − | 0.888400i | \(-0.651817\pi\) | ||||
−0.459070 | + | 0.888400i | \(0.651817\pi\) | |||||||
\(24\) | 0.875179 | + | 3.26621i | 0.178645 | + | 0.666713i | ||||
\(25\) | −4.98178 | + | 0.426486i | −0.996356 | + | 0.0852972i | ||||
\(26\) | 4.72601 | 0.926848 | ||||||||
\(27\) | 12.9931 | + | 12.9931i | 2.50052 | + | 2.50052i | ||||
\(28\) | 1.38761 | + | 0.371808i | 0.262233 | + | 0.0702652i | ||||
\(29\) | 7.48307 | − | 7.48307i | 1.38957 | − | 1.38957i | 0.563361 | − | 0.826211i | \(-0.309508\pi\) |
0.826211 | − | 0.563361i | \(-0.190492\pi\) | |||||||
\(30\) | −5.56987 | − | 5.11341i | −1.01691 | − | 0.933577i | ||||
\(31\) | −3.66211 | − | 3.66211i | −0.657735 | − | 0.657735i | 0.297109 | − | 0.954844i | \(-0.403978\pi\) |
−0.954844 | + | 0.297109i | \(0.903978\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 11.4454 | − | 3.06678i | 1.99239 | − | 0.533858i | ||||
\(34\) | −0.841769 | − | 0.485996i | −0.144362 | − | 0.0833476i | ||||
\(35\) | −3.06447 | + | 0.963081i | −0.517989 | + | 0.162790i | ||||
\(36\) | − | 8.43408i | − | 1.40568i | ||||||
\(37\) | 2.45454 | − | 5.56554i | 0.403523 | − | 0.914969i | ||||
\(38\) | −2.07820 | − | 2.07820i | −0.337129 | − | 0.337129i | ||||
\(39\) | −15.4362 | − | 4.13611i | −2.47176 | − | 0.662307i | ||||
\(40\) | 0.0954522 | + | 2.23403i | 0.0150923 | + | 0.353231i | ||||
\(41\) | 3.39922 | + | 1.96254i | 0.530869 | + | 0.306498i | 0.741370 | − | 0.671096i | \(-0.234176\pi\) |
−0.210501 | + | 0.977594i | \(0.567510\pi\) | |||||||
\(42\) | −4.20682 | − | 2.42881i | −0.649127 | − | 0.374773i | ||||
\(43\) | −2.05539 | −0.313445 | −0.156722 | − | 0.987643i | \(-0.550093\pi\) | ||||
−0.156722 | + | 0.987643i | \(0.550093\pi\) | |||||||
\(44\) | −3.03471 | − | 1.75209i | −0.457499 | − | 0.264137i | ||||
\(45\) | 10.1182 | + | 15.9151i | 1.50833 | + | 2.37248i | ||||
\(46\) | −2.20162 | − | 3.81332i | −0.324611 | − | 0.562243i | ||||
\(47\) | 7.19687 | − | 7.19687i | 1.04977 | − | 1.04977i | 0.0510766 | − | 0.998695i | \(-0.483735\pi\) |
0.998695 | − | 0.0510766i | \(-0.0162653\pi\) | |||||||
\(48\) | −2.39103 | + | 2.39103i | −0.345116 | + | 0.345116i | ||||
\(49\) | 4.27496 | − | 2.46815i | 0.610709 | − | 0.352593i | ||||
\(50\) | −2.86024 | − | 4.10110i | −0.404499 | − | 0.579984i | ||||
\(51\) | 2.32406 | + | 2.32406i | 0.325434 | + | 0.325434i | ||||
\(52\) | 2.36301 | + | 4.09285i | 0.327690 | + | 0.567576i | ||||
\(53\) | −0.343321 | + | 1.28129i | −0.0471587 | + | 0.175999i | −0.985488 | − | 0.169743i | \(-0.945706\pi\) |
0.938330 | + | 0.345742i | \(0.112373\pi\) | |||||||
\(54\) | −4.75579 | + | 17.7488i | −0.647181 | + | 2.41531i | ||||
\(55\) | 7.82843 | − | 0.334481i | 1.05559 | − | 0.0451015i | ||||
\(56\) | 0.371808 | + | 1.38761i | 0.0496850 | + | 0.185427i | ||||
\(57\) | 4.96905 | + | 8.60664i | 0.658166 | + | 1.13998i | ||||
\(58\) | 10.2221 | + | 2.73899i | 1.34222 | + | 0.359648i | ||||
\(59\) | 1.29704 | − | 4.84063i | 0.168861 | − | 0.630196i | −0.828656 | − | 0.559759i | \(-0.810894\pi\) |
0.997516 | − | 0.0704374i | \(-0.0224395\pi\) | |||||||
\(60\) | 1.64341 | − | 7.38035i | 0.212163 | − | 0.952799i | ||||
\(61\) | 1.28615 | − | 0.344624i | 0.164675 | − | 0.0441246i | −0.175539 | − | 0.984472i | \(-0.556167\pi\) |
0.340215 | + | 0.940348i | \(0.389500\pi\) | |||||||
\(62\) | 1.34043 | − | 5.00254i | 0.170234 | − | 0.635323i | ||||
\(63\) | 8.56733 | + | 8.56733i | 1.07938 | + | 1.07938i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −9.36910 | − | 4.88836i | −1.16209 | − | 0.606326i | ||||
\(66\) | 8.37860 | + | 8.37860i | 1.03133 | + | 1.03133i | ||||
\(67\) | 1.91490 | − | 0.513096i | 0.233942 | − | 0.0626847i | −0.139943 | − | 0.990160i | \(-0.544692\pi\) |
0.373885 | + | 0.927475i | \(0.378025\pi\) | |||||||
\(68\) | − | 0.971991i | − | 0.117871i | ||||||
\(69\) | 3.85362 | + | 14.3819i | 0.463922 | + | 1.73138i | ||||
\(70\) | −2.36629 | − | 2.17237i | −0.282825 | − | 0.259647i | ||||
\(71\) | −3.83717 | + | 6.64618i | −0.455389 | + | 0.788756i | −0.998710 | − | 0.0507683i | \(-0.983833\pi\) |
0.543322 | + | 0.839524i | \(0.317166\pi\) | |||||||
\(72\) | 7.30413 | − | 4.21704i | 0.860799 | − | 0.496983i | ||||
\(73\) | −8.69667 | + | 8.69667i | −1.01787 | + | 1.01787i | −0.0180303 | + | 0.999837i | \(0.505740\pi\) |
−0.999837 | + | 0.0180303i | \(0.994260\pi\) | |||||||
\(74\) | 6.04717 | − | 0.657081i | 0.702969 | − | 0.0763841i | ||||
\(75\) | 5.75294 | + | 15.8983i | 0.664292 | + | 1.83578i | ||||
\(76\) | 0.760674 | − | 2.83888i | 0.0872553 | − | 0.325641i | ||||
\(77\) | 4.86242 | − | 1.30288i | 0.554124 | − | 0.148477i | ||||
\(78\) | −4.13611 | − | 15.4362i | −0.468322 | − | 1.74780i | ||||
\(79\) | −2.35523 | + | 0.631083i | −0.264985 | + | 0.0710024i | −0.388865 | − | 0.921295i | \(-0.627133\pi\) |
0.123880 | + | 0.992297i | \(0.460466\pi\) | |||||||
\(80\) | −1.88700 | + | 1.19968i | −0.210973 | + | 0.134128i | ||||
\(81\) | 18.4157 | − | 31.8970i | 2.04619 | − | 3.54411i | ||||
\(82\) | 3.92508i | 0.433453i | ||||||||
\(83\) | 0.907980 | − | 3.38863i | 0.0996637 | − | 0.371950i | −0.898022 | − | 0.439952i | \(-0.854996\pi\) |
0.997685 | + | 0.0680016i | \(0.0216623\pi\) | |||||||
\(84\) | − | 4.85762i | − | 0.530010i | ||||||
\(85\) | 1.16608 | + | 1.83415i | 0.126479 | + | 0.198941i | ||||
\(86\) | −1.02770 | − | 1.78002i | −0.110819 | − | 0.191945i | ||||
\(87\) | −30.9903 | − | 17.8923i | −3.32251 | − | 1.91825i | ||||
\(88\) | − | 3.50418i | − | 0.373546i | ||||||
\(89\) | 8.16888 | + | 2.18884i | 0.865899 | + | 0.232017i | 0.664314 | − | 0.747454i | \(-0.268724\pi\) |
0.201586 | + | 0.979471i | \(0.435391\pi\) | |||||||
\(90\) | −8.72379 | + | 16.7202i | −0.919569 | + | 1.76246i | ||||
\(91\) | −6.55785 | − | 1.75717i | −0.687450 | − | 0.184202i | ||||
\(92\) | 2.20162 | − | 3.81332i | 0.229535 | − | 0.397566i | ||||
\(93\) | −8.75623 | + | 15.1662i | −0.907979 | + | 1.57267i | ||||
\(94\) | 9.83111 | + | 2.63424i | 1.01400 | + | 0.271701i | ||||
\(95\) | 1.97035 | + | 6.26952i | 0.202153 | + | 0.643240i | ||||
\(96\) | −3.26621 | − | 0.875179i | −0.333356 | − | 0.0893226i | ||||
\(97\) | − | 4.02372i | − | 0.408547i | −0.978914 | − | 0.204274i | \(-0.934517\pi\) | ||
0.978914 | − | 0.204274i | \(-0.0654832\pi\) | |||||||
\(98\) | 4.27496 | + | 2.46815i | 0.431837 | + | 0.249321i | ||||
\(99\) | −14.7772 | − | 25.5949i | −1.48517 | − | 2.57239i | ||||
\(100\) | 2.12154 | − | 4.52759i | 0.212154 | − | 0.452759i | ||||
\(101\) | − | 4.01042i | − | 0.399052i | −0.979893 | − | 0.199526i | \(-0.936060\pi\) | ||
0.979893 | − | 0.199526i | \(-0.0639402\pi\) | |||||||
\(102\) | −0.850666 | + | 3.17473i | −0.0842285 | + | 0.314345i | ||||
\(103\) | − | 10.6403i | − | 1.04842i | −0.851588 | − | 0.524212i | \(-0.824360\pi\) | ||
0.851588 | − | 0.524212i | \(-0.175640\pi\) | |||||||
\(104\) | −2.36301 | + | 4.09285i | −0.231712 | + | 0.401337i | ||||
\(105\) | 5.82758 | + | 9.16633i | 0.568714 | + | 0.894542i | ||||
\(106\) | −1.28129 | + | 0.343321i | −0.124450 | + | 0.0333462i | ||||
\(107\) | 3.01308 | + | 11.2450i | 0.291285 | + | 1.08709i | 0.944123 | + | 0.329594i | \(0.106912\pi\) |
−0.652838 | + | 0.757498i | \(0.726422\pi\) | |||||||
\(108\) | −17.7488 | + | 4.75579i | −1.70788 | + | 0.457626i | ||||
\(109\) | −0.0575535 | + | 0.214793i | −0.00551263 | + | 0.0205734i | −0.968627 | − | 0.248518i | \(-0.920057\pi\) |
0.963115 | + | 0.269091i | \(0.0867233\pi\) | |||||||
\(110\) | 4.20389 | + | 6.61238i | 0.400825 | + | 0.630466i | ||||
\(111\) | −20.3264 | − | 3.14619i | −1.92930 | − | 0.298623i | ||||
\(112\) | −1.01580 | + | 1.01580i | −0.0959840 | + | 0.0959840i | ||||
\(113\) | 13.1272 | − | 7.57898i | 1.23490 | − | 0.712971i | 0.266854 | − | 0.963737i | \(-0.414016\pi\) |
0.968048 | + | 0.250767i | \(0.0806826\pi\) | |||||||
\(114\) | −4.96905 | + | 8.60664i | −0.465394 | + | 0.806086i | ||||
\(115\) | 0.420299 | + | 9.83697i | 0.0391931 | + | 0.917303i | ||||
\(116\) | 2.73899 | + | 10.2221i | 0.254309 | + | 0.949095i | ||||
\(117\) | 39.8596i | 3.68502i | ||||||||
\(118\) | 4.84063 | − | 1.29704i | 0.445616 | − | 0.119402i | ||||
\(119\) | 0.987348 | + | 0.987348i | 0.0905100 | + | 0.0905100i | ||||
\(120\) | 7.21328 | − | 2.26694i | 0.658479 | − | 0.206943i | ||||
\(121\) | −1.27925 | −0.116295 | ||||||||
\(122\) | 0.941530 | + | 0.941530i | 0.0852422 | + | 0.0852422i | ||||
\(123\) | 3.43515 | − | 12.8202i | 0.309737 | − | 1.15595i | ||||
\(124\) | 5.00254 | − | 1.34043i | 0.449241 | − | 0.120374i | ||||
\(125\) | 1.42830 | + | 11.0887i | 0.127751 | + | 0.991806i | ||||
\(126\) | −3.13586 | + | 11.7032i | −0.279365 | + | 1.04260i | ||||
\(127\) | 2.57326 | + | 0.689503i | 0.228340 | + | 0.0611835i | 0.371175 | − | 0.928563i | \(-0.378955\pi\) |
−0.142835 | + | 0.989747i | \(0.545622\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 1.79884 | + | 6.71335i | 0.158379 | + | 0.591077i | ||||
\(130\) | −0.451109 | − | 10.5581i | −0.0395648 | − | 0.926003i | ||||
\(131\) | −4.93208 | + | 18.4068i | −0.430918 | + | 1.60821i | 0.319733 | + | 0.947508i | \(0.396407\pi\) |
−0.750651 | + | 0.660699i | \(0.770260\pi\) | |||||||
\(132\) | −3.06678 | + | 11.4454i | −0.266929 | + | 0.996193i | ||||
\(133\) | 2.11104 | + | 3.65642i | 0.183050 | + | 0.317052i | ||||
\(134\) | 1.40180 | + | 1.40180i | 0.121097 | + | 0.121097i | ||||
\(135\) | 27.7867 | − | 30.2671i | 2.39150 | − | 2.60498i | ||||
\(136\) | 0.841769 | − | 0.485996i | 0.0721811 | − | 0.0416738i | ||||
\(137\) | 3.56459 | − | 3.56459i | 0.304544 | − | 0.304544i | −0.538245 | − | 0.842789i | \(-0.680912\pi\) |
0.842789 | + | 0.538245i | \(0.180912\pi\) | |||||||
\(138\) | −10.5283 | + | 10.5283i | −0.896228 | + | 0.896228i | ||||
\(139\) | −6.31257 | − | 10.9337i | −0.535425 | − | 0.927383i | −0.999143 | − | 0.0414002i | \(-0.986818\pi\) |
0.463718 | − | 0.885983i | \(-0.346515\pi\) | |||||||
\(140\) | 0.698181 | − | 3.13545i | 0.0590070 | − | 0.264994i | ||||
\(141\) | −29.8050 | − | 17.2080i | −2.51004 | − | 1.44917i | ||||
\(142\) | −7.67435 | −0.644017 | ||||||||
\(143\) | 14.3421 | + | 8.28039i | 1.19934 | + | 0.692441i | ||||
\(144\) | 7.30413 | + | 4.21704i | 0.608677 | + | 0.351420i | ||||
\(145\) | −17.4317 | − | 16.0031i | −1.44762 | − | 1.32899i | ||||
\(146\) | −11.8799 | − | 3.18320i | −0.983185 | − | 0.263444i | ||||
\(147\) | −11.8029 | − | 11.8029i | −0.973484 | − | 0.973484i | ||||
\(148\) | 3.59263 | + | 4.90846i | 0.295313 | + | 0.403473i | ||||
\(149\) | − | 3.54527i | − | 0.290440i | −0.989399 | − | 0.145220i | \(-0.953611\pi\) | ||
0.989399 | − | 0.145220i | \(-0.0463890\pi\) | |||||||
\(150\) | −10.8919 | + | 12.9313i | −0.889316 | + | 1.05584i | ||||
\(151\) | −2.07856 | − | 1.20006i | −0.169151 | − | 0.0976591i | 0.413035 | − | 0.910715i | \(-0.364469\pi\) |
−0.582185 | + | 0.813056i | \(0.697802\pi\) | |||||||
\(152\) | 2.83888 | − | 0.760674i | 0.230263 | − | 0.0616988i | ||||
\(153\) | 4.09892 | − | 7.09955i | 0.331378 | − | 0.573964i | ||||
\(154\) | 3.55954 | + | 3.55954i | 0.286836 | + | 0.286836i | ||||
\(155\) | −7.83171 | + | 8.53082i | −0.629058 | + | 0.685212i | ||||
\(156\) | 11.3001 | − | 11.3001i | 0.904729 | − | 0.904729i | ||||
\(157\) | −16.9559 | − | 4.54333i | −1.35323 | − | 0.362597i | −0.491904 | − | 0.870650i | \(-0.663699\pi\) |
−0.861326 | + | 0.508053i | \(0.830365\pi\) | |||||||
\(158\) | −1.72415 | − | 1.72415i | −0.137166 | − | 0.137166i | ||||
\(159\) | 4.48543 | 0.355718 | ||||||||
\(160\) | −1.98245 | − | 1.03435i | −0.156727 | − | 0.0817726i | ||||
\(161\) | 1.63716 | + | 6.10997i | 0.129026 | + | 0.481533i | ||||
\(162\) | 36.8314 | 2.89375 | ||||||||
\(163\) | 1.35726 | − | 0.783615i | 0.106309 | − | 0.0613775i | −0.445903 | − | 0.895081i | \(-0.647117\pi\) |
0.552212 | + | 0.833704i | \(0.313784\pi\) | |||||||
\(164\) | −3.39922 | + | 1.96254i | −0.265435 | + | 0.153249i | ||||
\(165\) | −7.94377 | − | 25.2766i | −0.618421 | − | 1.96778i | ||||
\(166\) | 3.38863 | − | 0.907980i | 0.263008 | − | 0.0704729i | ||||
\(167\) | 13.1746 | + | 7.60634i | 1.01948 | + | 0.588596i | 0.913953 | − | 0.405821i | \(-0.133014\pi\) |
0.105525 | + | 0.994417i | \(0.466348\pi\) | |||||||
\(168\) | 4.20682 | − | 2.42881i | 0.324563 | − | 0.187387i | ||||
\(169\) | −4.66761 | − | 8.08453i | −0.359047 | − | 0.621887i | ||||
\(170\) | −1.00538 | + | 1.92693i | −0.0771091 | + | 0.147789i | ||||
\(171\) | 17.5277 | − | 17.5277i | 1.34038 | − | 1.34038i | ||||
\(172\) | 1.02770 | − | 1.78002i | 0.0783611 | − | 0.135725i | ||||
\(173\) | 20.4514 | + | 5.47994i | 1.55489 | + | 0.416632i | 0.931042 | − | 0.364912i | \(-0.118901\pi\) |
0.623850 | + | 0.781544i | \(0.285568\pi\) | |||||||
\(174\) | − | 35.7845i | − | 2.71282i | ||||||
\(175\) | 2.44406 | + | 6.75418i | 0.184754 | + | 0.510568i | ||||
\(176\) | 3.03471 | − | 1.75209i | 0.228750 | − | 0.132069i | ||||
\(177\) | −16.9457 | −1.27371 | ||||||||
\(178\) | 2.18884 | + | 8.16888i | 0.164061 | + | 0.612283i | ||||
\(179\) | −0.921605 | + | 0.921605i | −0.0688840 | + | 0.0688840i | −0.740709 | − | 0.671825i | \(-0.765510\pi\) |
0.671825 | + | 0.740709i | \(0.265510\pi\) | |||||||
\(180\) | −18.8420 | + | 0.805051i | −1.40440 | + | 0.0600050i | ||||
\(181\) | −2.29210 | + | 3.97004i | −0.170371 | + | 0.295091i | −0.938549 | − | 0.345145i | \(-0.887830\pi\) |
0.768179 | + | 0.640235i | \(0.221163\pi\) | |||||||
\(182\) | −1.75717 | − | 6.55785i | −0.130250 | − | 0.486100i | ||||
\(183\) | −2.25123 | − | 3.89925i | −0.166416 | − | 0.288241i | ||||
\(184\) | 4.40324 | 0.324611 | ||||||||
\(185\) | −12.6679 | − | 4.95226i | −0.931361 | − | 0.364098i | ||||
\(186\) | −17.5125 | −1.28408 | ||||||||
\(187\) | −1.70301 | − | 2.94971i | −0.124537 | − | 0.215704i | ||||
\(188\) | 2.63424 | + | 9.83111i | 0.192121 | + | 0.717007i | ||||
\(189\) | 13.1983 | − | 22.8602i | 0.960038 | − | 1.66283i | ||||
\(190\) | −4.44439 | + | 4.84113i | −0.322430 | + | 0.351213i | ||||
\(191\) | −1.47776 | + | 1.47776i | −0.106927 | + | 0.106927i | −0.758546 | − | 0.651619i | \(-0.774090\pi\) |
0.651619 | + | 0.758546i | \(0.274090\pi\) | |||||||
\(192\) | −0.875179 | − | 3.26621i | −0.0631606 | − | 0.235719i | ||||
\(193\) | −9.35362 | −0.673288 | −0.336644 | − | 0.941632i | \(-0.609292\pi\) | ||||
−0.336644 | + | 0.941632i | \(0.609292\pi\) | |||||||
\(194\) | 3.48465 | − | 2.01186i | 0.250183 | − | 0.144443i | ||||
\(195\) | −7.76677 | + | 34.8797i | −0.556190 | + | 2.49778i | ||||
\(196\) | 4.93630i | 0.352593i | ||||||||
\(197\) | 8.55452 | + | 2.29218i | 0.609484 | + | 0.163311i | 0.550343 | − | 0.834939i | \(-0.314497\pi\) |
0.0591415 | + | 0.998250i | \(0.481164\pi\) | |||||||
\(198\) | 14.7772 | − | 25.5949i | 1.05017 | − | 1.81895i | ||||
\(199\) | 11.6194 | − | 11.6194i | 0.823677 | − | 0.823677i | −0.162956 | − | 0.986633i | \(-0.552103\pi\) |
0.986633 | + | 0.162956i | \(0.0521029\pi\) | |||||||
\(200\) | 4.98178 | − | 0.426486i | 0.352265 | − | 0.0301571i | ||||
\(201\) | −3.35176 | − | 5.80542i | −0.236415 | − | 0.409483i | ||||
\(202\) | 3.47312 | − | 2.00521i | 0.244368 | − | 0.141086i | ||||
\(203\) | −13.1658 | − | 7.60130i | −0.924061 | − | 0.533507i | ||||
\(204\) | −3.17473 | + | 0.850666i | −0.222276 | + | 0.0595585i | ||||
\(205\) | 4.05991 | − | 7.78129i | 0.283557 | − | 0.543469i | ||||
\(206\) | 9.21480 | − | 5.32017i | 0.642026 | − | 0.370674i | ||||
\(207\) | 32.1618 | − | 18.5686i | 2.23540 | − | 1.29061i | ||||
\(208\) | −4.72601 | −0.327690 | ||||||||
\(209\) | −2.66554 | − | 9.94792i | −0.184379 | − | 0.688112i | ||||
\(210\) | −5.02448 | + | 9.63000i | −0.346722 | + | 0.664533i | ||||
\(211\) | −3.02550 | −0.208284 | −0.104142 | − | 0.994562i | \(-0.533210\pi\) | ||||
−0.104142 | + | 0.994562i | \(0.533210\pi\) | |||||||
\(212\) | −0.937969 | − | 0.937969i | −0.0644200 | − | 0.0644200i | ||||
\(213\) | 25.0660 | + | 6.71642i | 1.71750 | + | 0.460202i | ||||
\(214\) | −8.23188 | + | 8.23188i | −0.562720 | + | 0.562720i | ||||
\(215\) | 0.196192 | + | 4.59181i | 0.0133802 | + | 0.313159i | ||||
\(216\) | −12.9931 | − | 12.9931i | −0.884066 | − | 0.884066i | ||||
\(217\) | −3.71997 | + | 6.44318i | −0.252528 | + | 0.437391i | ||||
\(218\) | −0.214793 | + | 0.0575535i | −0.0145476 | + | 0.00389802i | ||||
\(219\) | 36.0163 | + | 20.7940i | 2.43376 | + | 1.40513i | ||||
\(220\) | −3.62455 | + | 6.94686i | −0.244367 | + | 0.468357i | ||||
\(221\) | 4.59364i | 0.309002i | ||||||||
\(222\) | −7.43852 | − | 19.1763i | −0.499241 | − | 1.28703i | ||||
\(223\) | 12.3697 | + | 12.3697i | 0.828335 | + | 0.828335i | 0.987286 | − | 0.158951i | \(-0.0508113\pi\) |
−0.158951 | + | 0.987286i | \(0.550811\pi\) | |||||||
\(224\) | −1.38761 | − | 0.371808i | −0.0927134 | − | 0.0248425i | ||||
\(225\) | 34.5890 | − | 24.1235i | 2.30593 | − | 1.60823i | ||||
\(226\) | 13.1272 | + | 7.57898i | 0.873207 | + | 0.504146i | ||||
\(227\) | −16.0391 | − | 9.26019i | −1.06455 | − | 0.614621i | −0.137866 | − | 0.990451i | \(-0.544024\pi\) |
−0.926688 | + | 0.375830i | \(0.877358\pi\) | |||||||
\(228\) | −9.93810 | −0.658166 | ||||||||
\(229\) | −3.04556 | − | 1.75836i | −0.201257 | − | 0.116196i | 0.395985 | − | 0.918257i | \(-0.370403\pi\) |
−0.597241 | + | 0.802061i | \(0.703737\pi\) | |||||||
\(230\) | −8.30892 | + | 5.28248i | −0.547874 | + | 0.348316i | ||||
\(231\) | −8.51098 | − | 14.7414i | −0.559981 | − | 0.969916i | ||||
\(232\) | −7.48307 | + | 7.48307i | −0.491288 | + | 0.491288i | ||||
\(233\) | −10.4880 | + | 10.4880i | −0.687091 | + | 0.687091i | −0.961588 | − | 0.274497i | \(-0.911489\pi\) |
0.274497 | + | 0.961588i | \(0.411489\pi\) | |||||||
\(234\) | −34.5194 | + | 19.9298i | −2.25660 | + | 1.30285i | ||||
\(235\) | −16.7650 | − | 15.3911i | −1.09363 | − | 1.00400i | ||||
\(236\) | 3.54359 | + | 3.54359i | 0.230668 | + | 0.230668i | ||||
\(237\) | 4.12250 | + | 7.14038i | 0.267785 | + | 0.463818i | ||||
\(238\) | −0.361394 | + | 1.34874i | −0.0234257 | + | 0.0874260i | ||||
\(239\) | −5.10887 | + | 19.0666i | −0.330466 | + | 1.23331i | 0.578236 | + | 0.815869i | \(0.303741\pi\) |
−0.908702 | + | 0.417445i | \(0.862926\pi\) | |||||||
\(240\) | 5.56987 | + | 5.11341i | 0.359533 | + | 0.330069i | ||||
\(241\) | 1.10073 | + | 4.10799i | 0.0709044 | + | 0.264619i | 0.992273 | − | 0.124070i | \(-0.0395948\pi\) |
−0.921369 | + | 0.388689i | \(0.872928\pi\) | |||||||
\(242\) | −0.639625 | − | 1.10786i | −0.0411166 | − | 0.0712161i | ||||
\(243\) | −67.0527 | − | 17.9667i | −4.30143 | − | 1.15257i | ||||
\(244\) | −0.344624 | + | 1.28615i | −0.0220623 | + | 0.0823376i | ||||
\(245\) | −5.92198 | − | 9.31481i | −0.378341 | − | 0.595101i | ||||
\(246\) | 12.8202 | − | 3.43515i | 0.817383 | − | 0.219017i | ||||
\(247\) | −3.59496 | + | 13.4166i | −0.228742 | + | 0.853676i | ||||
\(248\) | 3.66211 | + | 3.66211i | 0.232544 | + | 0.232544i | ||||
\(249\) | −11.8626 | −0.751763 | ||||||||
\(250\) | −8.88897 | + | 6.78131i | −0.562188 | + | 0.428888i | ||||
\(251\) | 17.5003 | + | 17.5003i | 1.10461 | + | 1.10461i | 0.993847 | + | 0.110764i | \(0.0353297\pi\) |
0.110764 | + | 0.993847i | \(0.464670\pi\) | |||||||
\(252\) | −11.7032 | + | 3.13586i | −0.737232 | + | 0.197541i | ||||
\(253\) | − | 15.4297i | − | 0.970059i | ||||||
\(254\) | 0.689503 | + | 2.57326i | 0.0432633 | + | 0.161461i | ||||
\(255\) | 4.97019 | − | 5.41386i | 0.311245 | − | 0.339029i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 11.0066 | − | 6.35464i | 0.686570 | − | 0.396391i | −0.115756 | − | 0.993278i | \(-0.536929\pi\) |
0.802326 | + | 0.596886i | \(0.203596\pi\) | |||||||
\(258\) | −4.91451 | + | 4.91451i | −0.305964 | + | 0.305964i | ||||
\(259\) | −8.63541 | − | 1.33662i | −0.536578 | − | 0.0830534i | ||||
\(260\) | 8.91799 | − | 5.66970i | 0.553070 | − | 0.351620i | ||||
\(261\) | −23.1009 | + | 86.2137i | −1.42991 | + | 5.33649i | ||||
\(262\) | −18.4068 | + | 4.93208i | −1.13717 | + | 0.304705i | ||||
\(263\) | −7.10198 | − | 26.5050i | −0.437927 | − | 1.63437i | −0.733963 | − | 0.679189i | \(-0.762332\pi\) |
0.296036 | − | 0.955177i | \(-0.404335\pi\) | |||||||
\(264\) | −11.4454 | + | 3.06678i | −0.704414 | + | 0.188747i | ||||
\(265\) | 2.89521 | + | 0.644686i | 0.177851 | + | 0.0396028i | ||||
\(266\) | −2.11104 | + | 3.65642i | −0.129436 | + | 0.224190i | ||||
\(267\) | − | 28.5969i | − | 1.75010i | ||||||
\(268\) | −0.513096 | + | 1.91490i | −0.0313423 | + | 0.116971i | ||||
\(269\) | 28.3433i | 1.72812i | 0.503388 | + | 0.864061i | \(0.332087\pi\) | ||||
−0.503388 | + | 0.864061i | \(0.667913\pi\) | |||||||
\(270\) | 40.1054 | + | 8.93041i | 2.44074 | + | 0.543487i | ||||
\(271\) | −8.06381 | − | 13.9669i | −0.489842 | − | 0.848431i | 0.510090 | − | 0.860121i | \(-0.329612\pi\) |
−0.999932 | + | 0.0116905i | \(0.996279\pi\) | |||||||
\(272\) | 0.841769 | + | 0.485996i | 0.0510397 | + | 0.0294678i | ||||
\(273\) | 22.9572i | 1.38943i | ||||||||
\(274\) | 4.86932 | + | 1.30473i | 0.294167 | + | 0.0788217i | ||||
\(275\) | −1.49448 | − | 17.4570i | −0.0901207 | − | 1.05270i | ||||
\(276\) | −14.3819 | − | 3.85362i | −0.865690 | − | 0.231961i | ||||
\(277\) | −4.75297 | + | 8.23239i | −0.285579 | + | 0.494637i | −0.972749 | − | 0.231859i | \(-0.925519\pi\) |
0.687171 | + | 0.726496i | \(0.258852\pi\) | |||||||
\(278\) | 6.31257 | − | 10.9337i | 0.378603 | − | 0.655759i | ||||
\(279\) | 42.1918 | + | 11.3053i | 2.52596 | + | 0.676828i | ||||
\(280\) | 3.06447 | − | 0.963081i | 0.183137 | − | 0.0575551i | ||||
\(281\) | 15.8741 | + | 4.25345i | 0.946968 | + | 0.253739i | 0.699075 | − | 0.715048i | \(-0.253595\pi\) |
0.247893 | + | 0.968787i | \(0.420262\pi\) | |||||||
\(282\) | − | 34.4159i | − | 2.04944i | ||||||
\(283\) | 5.46001 | + | 3.15234i | 0.324564 | + | 0.187387i | 0.653425 | − | 0.756991i | \(-0.273332\pi\) |
−0.328861 | + | 0.944378i | \(0.606665\pi\) | |||||||
\(284\) | −3.83717 | − | 6.64618i | −0.227694 | − | 0.394378i | ||||
\(285\) | 18.7532 | − | 11.9225i | 1.11084 | − | 0.706229i | ||||
\(286\) | 16.5608i | 0.979260i | ||||||||
\(287\) | 1.45938 | − | 5.44648i | 0.0861444 | − | 0.321495i | ||||
\(288\) | 8.43408i | 0.496983i | ||||||||
\(289\) | −8.02762 | + | 13.9042i | −0.472213 | + | 0.817896i | ||||
\(290\) | 5.14328 | − | 23.0978i | 0.302024 | − | 1.35635i | ||||
\(291\) | −13.1423 | + | 3.52148i | −0.770417 | + | 0.206433i | ||||
\(292\) | −3.18320 | − | 11.8799i | −0.186283 | − | 0.695217i | ||||
\(293\) | 0.387665 | − | 0.103875i | 0.0226476 | − | 0.00606841i | −0.247477 | − | 0.968894i | \(-0.579602\pi\) |
0.270125 | + | 0.962825i | \(0.412935\pi\) | |||||||
\(294\) | 4.32015 | − | 16.1230i | 0.251956 | − | 0.940313i | ||||
\(295\) | −10.9379 | − | 2.43558i | −0.636830 | − | 0.141805i | ||||
\(296\) | −2.45454 | + | 5.56554i | −0.142667 | + | 0.323491i | ||||
\(297\) | −45.5300 | + | 45.5300i | −2.64192 | + | 2.64192i | ||||
\(298\) | 3.07030 | − | 1.77264i | 0.177857 | − | 0.102686i | ||||
\(299\) | −10.4049 | + | 18.0218i | −0.601731 | + | 1.04223i | ||||
\(300\) | −16.6448 | − | 2.96695i | −0.960988 | − | 0.171297i | ||||
\(301\) | 0.764212 | + | 2.85208i | 0.0440485 | + | 0.164391i | ||||
\(302\) | − | 2.40011i | − | 0.138111i | ||||||
\(303\) | −13.0989 | + | 3.50983i | −0.752511 | + | 0.201635i | ||||
\(304\) | 2.07820 | + | 2.07820i | 0.119193 | + | 0.119193i | ||||
\(305\) | −0.892667 | − | 2.84041i | −0.0511139 | − | 0.162642i | ||||
\(306\) | 8.19785 | 0.468640 | ||||||||
\(307\) | 20.6896 | + | 20.6896i | 1.18082 | + | 1.18082i | 0.979533 | + | 0.201285i | \(0.0645118\pi\) |
0.201285 | + | 0.979533i | \(0.435488\pi\) | |||||||
\(308\) | −1.30288 | + | 4.86242i | −0.0742386 | + | 0.277062i | ||||
\(309\) | −34.7536 | + | 9.31220i | −1.97706 | + | 0.529752i | ||||
\(310\) | −11.3038 | − | 2.51705i | −0.642011 | − | 0.142959i | ||||
\(311\) | −2.04408 | + | 7.62862i | −0.115909 | + | 0.432579i | −0.999353 | − | 0.0359575i | \(-0.988552\pi\) |
0.883444 | + | 0.468537i | \(0.155219\pi\) | |||||||
\(312\) | 15.4362 | + | 4.13611i | 0.873901 | + | 0.234161i | ||||
\(313\) | −14.1499 | − | 24.5084i | −0.799802 | − | 1.38530i | −0.919745 | − | 0.392517i | \(-0.871605\pi\) |
0.119943 | − | 0.992781i | \(-0.461729\pi\) | |||||||
\(314\) | −4.54333 | − | 16.9559i | −0.256395 | − | 0.956878i | ||||
\(315\) | 18.3219 | − | 19.9574i | 1.03232 | − | 1.12447i | ||||
\(316\) | 0.631083 | − | 2.35523i | 0.0355012 | − | 0.132492i | ||||
\(317\) | 0.506204 | − | 1.88918i | 0.0284312 | − | 0.106107i | −0.950252 | − | 0.311482i | \(-0.899175\pi\) |
0.978683 | + | 0.205375i | \(0.0658414\pi\) | |||||||
\(318\) | 2.24272 | + | 3.88450i | 0.125765 | + | 0.217832i | ||||
\(319\) | 26.2220 | + | 26.2220i | 1.46815 | + | 1.46815i | ||||
\(320\) | −0.0954522 | − | 2.23403i | −0.00533594 | − | 0.124886i | ||||
\(321\) | 34.0914 | − | 19.6827i | 1.90280 | − | 1.09858i | ||||
\(322\) | −4.47281 | + | 4.47281i | −0.249260 | + | 0.249260i | ||||
\(323\) | 2.01999 | − | 2.01999i | 0.112395 | − | 0.112395i | ||||
\(324\) | 18.4157 | + | 31.8970i | 1.02310 | + | 1.77205i | ||||
\(325\) | −10.0264 | + | 21.3975i | −0.556166 | + | 1.18692i | ||||
\(326\) | 1.35726 | + | 0.783615i | 0.0751717 | + | 0.0434004i | ||||
\(327\) | 0.751928 | 0.0415817 | ||||||||
\(328\) | −3.39922 | − | 1.96254i | −0.187691 | − | 0.108363i | ||||
\(329\) | −12.6623 | − | 7.31058i | −0.698095 | − | 0.403045i | ||||
\(330\) | 17.9183 | − | 19.5178i | 0.986369 | − | 1.07442i | ||||
\(331\) | 6.03742 | + | 1.61772i | 0.331846 | + | 0.0889180i | 0.420895 | − | 0.907109i | \(-0.361716\pi\) |
−0.0890487 | + | 0.996027i | \(0.528383\pi\) | |||||||
\(332\) | 2.48065 | + | 2.48065i | 0.136143 | + | 0.136143i | ||||
\(333\) | 5.54187 | + | 51.0023i | 0.303693 | + | 2.79491i | ||||
\(334\) | 15.2127i | 0.832400i | ||||||||
\(335\) | −1.32905 | − | 4.22897i | −0.0726139 | − | 0.231053i | ||||
\(336\) | 4.20682 | + | 2.42881i | 0.229501 | + | 0.132502i | ||||
\(337\) | 15.8708 | − | 4.25257i | 0.864537 | − | 0.231652i | 0.200813 | − | 0.979630i | \(-0.435642\pi\) |
0.663724 | + | 0.747977i | \(0.268975\pi\) | |||||||
\(338\) | 4.66761 | − | 8.08453i | 0.253884 | − | 0.439741i | ||||
\(339\) | −36.2432 | − | 36.2432i | −1.96846 | − | 1.96846i | ||||
\(340\) | −2.17146 | + | 0.0927787i | −0.117764 | + | 0.00503163i | ||||
\(341\) | 12.8327 | − | 12.8327i | 0.694929 | − | 0.694929i | ||||
\(342\) | 23.9433 | + | 6.41559i | 1.29471 | + | 0.346915i | ||||
\(343\) | −12.1249 | − | 12.1249i | −0.654682 | − | 0.654682i | ||||
\(344\) | 2.05539 | 0.110819 | ||||||||
\(345\) | 31.7618 | − | 9.98190i | 1.71000 | − | 0.537407i | ||||
\(346\) | 5.47994 | + | 20.4514i | 0.294603 | + | 1.09947i | ||||
\(347\) | −34.0867 | −1.82987 | −0.914934 | − | 0.403603i | \(-0.867758\pi\) | ||||
−0.914934 | + | 0.403603i | \(0.867758\pi\) | |||||||
\(348\) | 30.9903 | − | 17.8923i | 1.66126 | − | 0.959127i | ||||
\(349\) | 10.0882 | − | 5.82443i | 0.540009 | − | 0.311774i | −0.205073 | − | 0.978747i | \(-0.565743\pi\) |
0.745083 | + | 0.666972i | \(0.232410\pi\) | |||||||
\(350\) | −4.62726 | + | 5.49371i | −0.247338 | + | 0.293651i | ||||
\(351\) | 83.8813 | − | 22.4759i | 4.47725 | − | 1.19968i | ||||
\(352\) | 3.03471 | + | 1.75209i | 0.161750 | + | 0.0933866i | ||||
\(353\) | −5.24895 | + | 3.03048i | −0.279373 | + | 0.161296i | −0.633140 | − | 0.774038i | \(-0.718234\pi\) |
0.353766 | + | 0.935334i | \(0.384901\pi\) | |||||||
\(354\) | −8.47283 | − | 14.6754i | −0.450326 | − | 0.779987i | ||||
\(355\) | 15.2140 | + | 7.93797i | 0.807477 | + | 0.421303i | ||||
\(356\) | −5.98003 | + | 5.98003i | −0.316941 | + | 0.316941i | ||||
\(357\) | 2.36078 | − | 4.08899i | 0.124946 | − | 0.216412i | ||||
\(358\) | −1.25894 | − | 0.337331i | −0.0665368 | − | 0.0178285i | ||||
\(359\) | 31.9848i | 1.68809i | 0.536269 | + | 0.844047i | \(0.319833\pi\) | ||||
−0.536269 | + | 0.844047i | \(0.680167\pi\) | |||||||
\(360\) | −10.1182 | − | 15.9151i | −0.533275 | − | 0.838800i | ||||
\(361\) | −8.97389 | + | 5.18108i | −0.472310 | + | 0.272688i | ||||
\(362\) | −4.58420 | −0.240940 | ||||||||
\(363\) | 1.11957 | + | 4.17830i | 0.0587623 | + | 0.219304i | ||||
\(364\) | 4.80068 | − | 4.80068i | 0.251624 | − | 0.251624i | ||||
\(365\) | 20.2587 | + | 18.5985i | 1.06039 | + | 0.973490i | ||||
\(366\) | 2.25123 | − | 3.89925i | 0.117674 | − | 0.203817i | ||||
\(367\) | −3.40191 | − | 12.6961i | −0.177578 | − | 0.662732i | −0.996098 | − | 0.0882533i | \(-0.971872\pi\) |
0.818520 | − | 0.574479i | \(-0.194795\pi\) | |||||||
\(368\) | 2.20162 | + | 3.81332i | 0.114767 | + | 0.198783i | ||||
\(369\) | −33.1045 | −1.72335 | ||||||||
\(370\) | −2.04515 | − | 13.4468i | −0.106322 | − | 0.699068i | ||||
\(371\) | 1.90558 | 0.0989326 | ||||||||
\(372\) | −8.75623 | − | 15.1662i | −0.453989 | − | 0.786333i | ||||
\(373\) | 5.94197 | + | 22.1757i | 0.307664 | + | 1.14822i | 0.930628 | + | 0.365966i | \(0.119261\pi\) |
−0.622964 | + | 0.782250i | \(0.714072\pi\) | |||||||
\(374\) | 1.70301 | − | 2.94971i | 0.0880608 | − | 0.152526i | ||||
\(375\) | 34.9681 | − | 14.3698i | 1.80575 | − | 0.742052i | ||||
\(376\) | −7.19687 | + | 7.19687i | −0.371150 | + | 0.371150i | ||||
\(377\) | −12.9445 | − | 48.3096i | −0.666677 | − | 2.48807i | ||||
\(378\) | 26.3967 | 1.35770 | ||||||||
\(379\) | −9.34232 | + | 5.39379i | −0.479883 | + | 0.277061i | −0.720368 | − | 0.693592i | \(-0.756027\pi\) |
0.240485 | + | 0.970653i | \(0.422694\pi\) | |||||||
\(380\) | −6.41474 | − | 1.42839i | −0.329069 | − | 0.0732750i | ||||
\(381\) | − | 9.00825i | − | 0.461507i | ||||||
\(382\) | −2.01865 | − | 0.540896i | −0.103283 | − | 0.0276746i | ||||
\(383\) | 14.5452 | − | 25.1931i | 0.743227 | − | 1.28731i | −0.207792 | − | 0.978173i | \(-0.566628\pi\) |
0.951019 | − | 0.309134i | \(-0.100039\pi\) | |||||||
\(384\) | 2.39103 | − | 2.39103i | 0.122017 | − | 0.122017i | ||||
\(385\) | −3.37481 | − | 10.7384i | −0.171996 | − | 0.547281i | ||||
\(386\) | −4.67681 | − | 8.10047i | −0.238043 | − | 0.412303i | ||||
\(387\) | 15.0129 | − | 8.66767i | 0.763146 | − | 0.440603i | ||||
\(388\) | 3.48465 | + | 2.01186i | 0.176906 | + | 0.102137i | ||||
\(389\) | 17.3546 | − | 4.65014i | 0.879911 | − | 0.235771i | 0.209542 | − | 0.977800i | \(-0.432803\pi\) |
0.670369 | + | 0.742028i | \(0.266136\pi\) | |||||||
\(390\) | −34.0901 | + | 10.7136i | −1.72622 | + | 0.542504i | ||||
\(391\) | 3.70651 | − | 2.13996i | 0.187446 | − | 0.108222i | ||||
\(392\) | −4.27496 | + | 2.46815i | −0.215918 | + | 0.124660i | ||||
\(393\) | 64.4369 | 3.25041 | ||||||||
\(394\) | 2.29218 | + | 8.55452i | 0.115478 | + | 0.430971i | ||||
\(395\) | 1.63467 | + | 5.20143i | 0.0822492 | + | 0.261712i | ||||
\(396\) | 29.5545 | 1.48517 | ||||||||
\(397\) | 15.8249 | + | 15.8249i | 0.794231 | + | 0.794231i | 0.982179 | − | 0.187948i | \(-0.0601837\pi\) |
−0.187948 | + | 0.982179i | \(0.560184\pi\) | |||||||
\(398\) | 15.8724 | + | 4.25300i | 0.795611 | + | 0.213183i | ||||
\(399\) | 10.0951 | − | 10.0951i | 0.505388 | − | 0.505388i | ||||
\(400\) | 2.86024 | + | 4.10110i | 0.143012 | + | 0.205055i | ||||
\(401\) | −7.74231 | − | 7.74231i | −0.386632 | − | 0.386632i | 0.486852 | − | 0.873484i | \(-0.338145\pi\) |
−0.873484 | + | 0.486852i | \(0.838145\pi\) | |||||||
\(402\) | 3.35176 | − | 5.80542i | 0.167171 | − | 0.289548i | ||||
\(403\) | −23.6421 | + | 6.33487i | −1.17770 | + | 0.315563i | ||||
\(404\) | 3.47312 | + | 2.00521i | 0.172794 | + | 0.0997629i | ||||
\(405\) | −73.0166 | − | 38.0966i | −3.62822 | − | 1.89304i | ||||
\(406\) | − | 15.2026i | − | 0.754492i | ||||||
\(407\) | 19.5026 | + | 8.60112i | 0.966710 | + | 0.426342i | ||||
\(408\) | −2.32406 | − | 2.32406i | −0.115058 | − | 0.115058i | ||||
\(409\) | 36.7385 | + | 9.84406i | 1.81660 | + | 0.486757i | 0.996359 | − | 0.0852560i | \(-0.0271708\pi\) |
0.820244 | + | 0.572013i | \(0.193837\pi\) | |||||||
\(410\) | 8.76875 | − | 0.374658i | 0.433058 | − | 0.0185030i | ||||
\(411\) | −14.7624 | − | 8.52306i | −0.728174 | − | 0.420411i | ||||
\(412\) | 9.21480 | + | 5.32017i | 0.453981 | + | 0.262106i | ||||
\(413\) | −7.19914 | −0.354247 | ||||||||
\(414\) | 32.1618 | + | 18.5686i | 1.58067 | + | 0.912599i | ||||
\(415\) | −7.65696 | − | 1.70500i | −0.375865 | − | 0.0836952i | ||||
\(416\) | −2.36301 | − | 4.09285i | −0.115856 | − | 0.200668i | ||||
\(417\) | −30.1871 | + | 30.1871i | −1.47827 | + | 1.47827i | ||||
\(418\) | 7.28238 | − | 7.28238i | 0.356193 | − | 0.356193i | ||||
\(419\) | 17.6534 | − | 10.1922i | 0.862425 | − | 0.497921i | −0.00239880 | − | 0.999997i | \(-0.500764\pi\) |
0.864824 | + | 0.502076i | \(0.167430\pi\) | |||||||
\(420\) | −10.8521 | + | 0.463671i | −0.529527 | + | 0.0226248i | ||||
\(421\) | −1.29404 | − | 1.29404i | −0.0630678 | − | 0.0630678i | 0.674869 | − | 0.737937i | \(-0.264200\pi\) |
−0.737937 | + | 0.674869i | \(0.764200\pi\) | |||||||
\(422\) | −1.51275 | − | 2.62016i | −0.0736396 | − | 0.127548i | ||||
\(423\) | −22.2174 | + | 82.9163i | −1.08024 | + | 4.03153i | ||||
\(424\) | 0.343321 | − | 1.28129i | 0.0166731 | − | 0.0622249i | ||||
\(425\) | 3.98624 | − | 2.78012i | 0.193361 | − | 0.134856i | ||||
\(426\) | 6.71642 | + | 25.0660i | 0.325412 | + | 1.21445i | ||||
\(427\) | −0.956406 | − | 1.65654i | −0.0462837 | − | 0.0801658i | ||||
\(428\) | −11.2450 | − | 3.01308i | −0.543546 | − | 0.145643i | ||||
\(429\) | 14.4936 | − | 54.0910i | 0.699760 | − | 2.61154i | ||||
\(430\) | −3.87853 | + | 2.46581i | −0.187039 | + | 0.118912i | ||||
\(431\) | −11.0058 | + | 2.94898i | −0.530129 | + | 0.142048i | −0.513948 | − | 0.857821i | \(-0.671817\pi\) |
−0.0161811 | + | 0.999869i | \(0.505151\pi\) | |||||||
\(432\) | 4.75579 | − | 17.7488i | 0.228813 | − | 0.853942i | ||||
\(433\) | −21.0723 | − | 21.0723i | −1.01267 | − | 1.01267i | −0.999919 | − | 0.0127495i | \(-0.995942\pi\) |
−0.0127495 | − | 0.999919i | \(-0.504058\pi\) | |||||||
\(434\) | −7.43994 | −0.357129 | ||||||||
\(435\) | −37.0138 | + | 70.9412i | −1.77467 | + | 3.40137i | ||||
\(436\) | −0.157239 | − | 0.157239i | −0.00753039 | − | 0.00753039i | ||||
\(437\) | 12.5003 | − | 3.34943i | 0.597968 | − | 0.160225i | ||||
\(438\) | 41.5880i | 1.98715i | ||||||||
\(439\) | 0.403179 | + | 1.50468i | 0.0192427 | + | 0.0718146i | 0.974880 | − | 0.222733i | \(-0.0714978\pi\) |
−0.955637 | + | 0.294547i | \(0.904831\pi\) | |||||||
\(440\) | −7.82843 | + | 0.334481i | −0.373206 | + | 0.0159458i | ||||
\(441\) | −20.8166 | + | 36.0554i | −0.991266 | + | 1.71692i | ||||
\(442\) | −3.97821 | + | 2.29682i | −0.189224 | + | 0.109249i | ||||
\(443\) | 1.05231 | − | 1.05231i | 0.0499967 | − | 0.0499967i | −0.681666 | − | 0.731663i | \(-0.738744\pi\) |
0.731663 | + | 0.681666i | \(0.238744\pi\) | |||||||
\(444\) | 12.8879 | − | 16.0301i | 0.611632 | − | 0.760754i | ||||
\(445\) | 4.11021 | − | 18.4584i | 0.194842 | − | 0.875014i | ||||
\(446\) | −4.52762 | + | 16.8973i | −0.214389 | + | 0.800110i | ||||
\(447\) | −11.5796 | + | 3.10275i | −0.547697 | + | 0.146755i | ||||
\(448\) | −0.371808 | − | 1.38761i | −0.0175663 | − | 0.0655583i | ||||
\(449\) | −5.25870 | + | 1.40906i | −0.248173 | + | 0.0664979i | −0.380761 | − | 0.924673i | \(-0.624338\pi\) |
0.132588 | + | 0.991171i | \(0.457671\pi\) | |||||||
\(450\) | 38.1860 | + | 17.8932i | 1.80011 | + | 0.843495i | ||||
\(451\) | −6.87709 | + | 11.9115i | −0.323830 | + | 0.560889i | ||||
\(452\) | 15.1580i | 0.712971i | ||||||||
\(453\) | −2.10053 | + | 7.83927i | −0.0986913 | + | 0.368321i | ||||
\(454\) | − | 18.5204i | − | 0.869205i | ||||||
\(455\) | −3.29961 | + | 14.8182i | −0.154688 | + | 0.694686i | ||||
\(456\) | −4.96905 | − | 8.60664i | −0.232697 | − | 0.403043i | ||||
\(457\) | −7.53632 | − | 4.35110i | −0.352534 | − | 0.203536i | 0.313267 | − | 0.949665i | \(-0.398577\pi\) |
−0.665801 | + | 0.746129i | \(0.731910\pi\) | |||||||
\(458\) | − | 3.51672i | − | 0.164325i | ||||||
\(459\) | −17.2517 | − | 4.62259i | −0.805242 | − | 0.215764i | ||||
\(460\) | −8.72922 | − | 4.55450i | −0.407002 | − | 0.212355i | ||||
\(461\) | −2.50982 | − | 0.672506i | −0.116894 | − | 0.0313217i | 0.199898 | − | 0.979817i | \(-0.435939\pi\) |
−0.316792 | + | 0.948495i | \(0.602606\pi\) | |||||||
\(462\) | 8.51098 | − | 14.7414i | 0.395966 | − | 0.685834i | ||||
\(463\) | −10.4928 | + | 18.1740i | −0.487641 | + | 0.844618i | −0.999899 | − | 0.0142131i | \(-0.995476\pi\) |
0.512258 | + | 0.858831i | \(0.328809\pi\) | |||||||
\(464\) | −10.2221 | − | 2.73899i | −0.474548 | − | 0.127155i | ||||
\(465\) | 34.7176 | + | 18.1140i | 1.60999 | + | 0.840018i | ||||
\(466\) | −14.3269 | − | 3.83887i | −0.663679 | − | 0.177832i | ||||
\(467\) | 18.2736i | 0.845603i | 0.906222 | + | 0.422801i | \(0.138953\pi\) | ||||
−0.906222 | + | 0.422801i | \(0.861047\pi\) | |||||||
\(468\) | −34.5194 | − | 19.9298i | −1.59566 | − | 0.921255i | ||||
\(469\) | −1.42395 | − | 2.46636i | −0.0657520 | − | 0.113886i | ||||
\(470\) | 4.94656 | − | 22.2144i | 0.228168 | − | 1.02468i | ||||
\(471\) | 59.3578i | 2.73507i | ||||||||
\(472\) | −1.29704 | + | 4.84063i | −0.0597012 | + | 0.222808i | ||||
\(473\) | − | 7.20246i | − | 0.331169i | ||||||
\(474\) | −4.12250 | + | 7.14038i | −0.189353 | + | 0.327969i | ||||
\(475\) | 13.8182 | − | 5.00025i | 0.634024 | − | 0.229427i | ||||
\(476\) | −1.34874 | + | 0.361394i | −0.0618195 | + | 0.0165645i | ||||
\(477\) | −2.89559 | − | 10.8065i | −0.132580 | − | 0.494796i | ||||
\(478\) | −19.0666 | + | 5.10887i | −0.872085 | + | 0.233674i | ||||
\(479\) | −2.37853 | + | 8.87679i | −0.108678 | + | 0.405591i | −0.998736 | − | 0.0502551i | \(-0.983997\pi\) |
0.890059 | + | 0.455846i | \(0.150663\pi\) | |||||||
\(480\) | −1.64341 | + | 7.38035i | −0.0750110 | + | 0.336865i | ||||
\(481\) | −16.9788 | − | 23.1975i | −0.774168 | − | 1.05771i | ||||
\(482\) | −3.00726 | + | 3.00726i | −0.136977 | + | 0.136977i | ||||
\(483\) | 18.5237 | − | 10.6946i | 0.842856 | − | 0.486623i | ||||
\(484\) | 0.639625 | − | 1.10786i | 0.0290738 | − | 0.0503574i | ||||
\(485\) | −8.98912 | + | 0.384073i | −0.408175 | + | 0.0174399i | ||||
\(486\) | −17.9667 | − | 67.0527i | −0.814987 | − | 3.04157i | ||||
\(487\) | − | 29.0662i | − | 1.31711i | −0.752531 | − | 0.658557i | \(-0.771167\pi\) | ||
0.752531 | − | 0.658557i | \(-0.228833\pi\) | |||||||
\(488\) | −1.28615 | + | 0.344624i | −0.0582215 | + | 0.0156004i | ||||
\(489\) | −3.74730 | − | 3.74730i | −0.169459 | − | 0.169459i | ||||
\(490\) | 5.10587 | − | 9.78599i | 0.230660 | − | 0.442086i | ||||
\(491\) | 13.6903 | 0.617836 | 0.308918 | − | 0.951089i | \(-0.400033\pi\) | ||||
0.308918 | + | 0.951089i | \(0.400033\pi\) | |||||||
\(492\) | 9.38501 | + | 9.38501i | 0.423109 | + | 0.423109i | ||||
\(493\) | −2.66228 | + | 9.93576i | −0.119903 | + | 0.447484i | ||||
\(494\) | −13.4166 | + | 3.59496i | −0.603640 | + | 0.161745i | ||||
\(495\) | −55.7693 | + | 35.4559i | −2.50665 | + | 1.59362i | ||||
\(496\) | −1.34043 | + | 5.00254i | −0.0601869 | + | 0.224621i | ||||
\(497\) | 10.6490 | + | 2.85339i | 0.477672 | + | 0.127992i | ||||
\(498\) | −5.93131 | − | 10.2733i | −0.265788 | − | 0.460359i | ||||
\(499\) | −3.66772 | − | 13.6881i | −0.164190 | − | 0.612765i | −0.998142 | − | 0.0609282i | \(-0.980594\pi\) |
0.833952 | − | 0.551836i | \(-0.186073\pi\) | |||||||
\(500\) | −10.3173 | − | 4.30742i | −0.461403 | − | 0.192634i | ||||
\(501\) | 13.3138 | − | 49.6878i | 0.594817 | − | 2.21989i | ||||
\(502\) | −6.40556 | + | 23.9059i | −0.285894 | + | 1.06697i | ||||
\(503\) | −9.38391 | − | 16.2534i | −0.418408 | − | 0.724704i | 0.577372 | − | 0.816482i | \(-0.304078\pi\) |
−0.995780 | + | 0.0917777i | \(0.970745\pi\) | |||||||
\(504\) | −8.56733 | − | 8.56733i | −0.381619 | − | 0.381619i | ||||
\(505\) | −8.95939 | + | 0.382803i | −0.398688 | + | 0.0170345i | ||||
\(506\) | 13.3625 | − | 7.71487i | 0.594038 | − | 0.342968i | ||||
\(507\) | −22.3208 | + | 22.3208i | −0.991302 | + | 0.991302i | ||||
\(508\) | −1.88376 | + | 1.88376i | −0.0835782 | + | 0.0835782i | ||||
\(509\) | −12.9359 | − | 22.4056i | −0.573372 | − | 0.993110i | −0.996216 | − | 0.0869073i | \(-0.972302\pi\) |
0.422844 | − | 0.906202i | \(-0.361032\pi\) | |||||||
\(510\) | 7.17364 | + | 1.59738i | 0.317654 | + | 0.0707331i | ||||
\(511\) | 15.3011 | + | 8.83407i | 0.676879 | + | 0.390796i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −46.7692 | − | 27.0022i | −2.06491 | − | 1.19218i | ||||
\(514\) | 11.0066 | + | 6.35464i | 0.485478 | + | 0.280291i | ||||
\(515\) | −23.7708 | + | 1.01564i | −1.04747 | + | 0.0447546i | ||||
\(516\) | −6.71335 | − | 1.79884i | −0.295539 | − | 0.0791894i | ||||
\(517\) | 25.2191 | + | 25.2191i | 1.10913 | + | 1.10913i | ||||
\(518\) | −3.16016 | − | 8.14679i | −0.138849 | − | 0.357949i | ||||
\(519\) | − | 71.5946i | − | 3.14265i | ||||||
\(520\) | 9.36910 | + | 4.88836i | 0.410862 | + | 0.214369i | ||||
\(521\) | −27.8533 | − | 16.0811i | −1.22027 | − | 0.704525i | −0.255297 | − | 0.966863i | \(-0.582173\pi\) |
−0.964976 | + | 0.262337i | \(0.915507\pi\) | |||||||
\(522\) | −86.2137 | + | 23.1009i | −3.77347 | + | 1.01110i | ||||
\(523\) | 0.986968 | − | 1.70948i | 0.0431571 | − | 0.0747503i | −0.843640 | − | 0.536909i | \(-0.819592\pi\) |
0.886797 | + | 0.462159i | \(0.152925\pi\) | |||||||
\(524\) | −13.4747 | − | 13.4747i | −0.588645 | − | 0.588645i | ||||
\(525\) | 19.9216 | − | 13.8939i | 0.869450 | − | 0.606381i | ||||
\(526\) | 19.4030 | − | 19.4030i | 0.846010 | − | 0.846010i | ||||
\(527\) | 4.86242 | + | 1.30288i | 0.211810 | + | 0.0567544i | ||||
\(528\) | −8.37860 | − | 8.37860i | −0.364632 | − | 0.364632i | ||||
\(529\) | −3.61146 | −0.157020 | ||||||||
\(530\) | 0.889290 | + | 2.82967i | 0.0386283 | + | 0.122913i | ||||
\(531\) | 10.9394 | + | 40.8262i | 0.474728 | + | 1.77171i | ||||
\(532\) | −4.22207 | −0.183050 | ||||||||
\(533\) | 16.0648 | − | 9.27500i | 0.695843 | − | 0.401745i | ||||
\(534\) | 24.7657 | − | 14.2985i | 1.07171 | − | 0.618755i | ||||
\(535\) | 24.8340 | − | 7.80466i | 1.07367 | − | 0.337425i | ||||
\(536\) | −1.91490 | + | 0.513096i | −0.0827111 | + | 0.0221624i | ||||
\(537\) | 3.81673 | + | 2.20359i | 0.164704 | + | 0.0950919i | ||||
\(538\) | −24.5460 | + | 14.1716i | −1.05825 | + | 0.610983i | ||||
\(539\) | 8.64884 | + | 14.9802i | 0.372532 | + | 0.645244i | ||||
\(540\) | 12.3187 | + | 39.1975i | 0.530114 | + | 1.68679i | ||||
\(541\) | 18.3493 | − | 18.3493i | 0.788896 | − | 0.788896i | −0.192417 | − | 0.981313i | \(-0.561633\pi\) |
0.981313 | + | 0.192417i | \(0.0616326\pi\) | |||||||
\(542\) | 8.06381 | − | 13.9669i | 0.346370 | − | 0.599931i | ||||
\(543\) | 14.9730 | + | 4.01200i | 0.642552 | + | 0.172171i | ||||
\(544\) | 0.971991i | 0.0416738i | ||||||||
\(545\) | 0.485347 | + | 0.108074i | 0.0207900 | + | 0.00462938i | ||||
\(546\) | −19.8815 | + | 11.4786i | −0.850850 | + | 0.491238i | ||||
\(547\) | 25.4508 | 1.08820 | 0.544100 | − | 0.839021i | \(-0.316871\pi\) | ||||
0.544100 | + | 0.839021i | \(0.316871\pi\) | |||||||
\(548\) | 1.30473 | + | 4.86932i | 0.0557354 | + | 0.208007i | ||||
\(549\) | −7.94094 | + | 7.94094i | −0.338911 | + | 0.338911i | ||||
\(550\) | 14.3710 | − | 10.0228i | 0.612781 | − | 0.427372i | ||||
\(551\) | −15.5513 | + | 26.9357i | −0.662509 | + | 1.14750i | ||||
\(552\) | −3.85362 | − | 14.3819i | −0.164021 | − | 0.612135i | ||||
\(553\) | 1.75139 | + | 3.03350i | 0.0744768 | + | 0.128998i | ||||
\(554\) | −9.50595 | −0.403869 | ||||||||
\(555\) | −5.08848 | + | 45.7101i | −0.215994 | + | 1.94028i | ||||
\(556\) | 12.6251 | 0.535425 | ||||||||
\(557\) | −3.24385 | − | 5.61851i | −0.137446 | − | 0.238064i | 0.789083 | − | 0.614287i | \(-0.210556\pi\) |
−0.926529 | + | 0.376223i | \(0.877223\pi\) | |||||||
\(558\) | 11.3053 | + | 42.1918i | 0.478590 | + | 1.78612i | ||||
\(559\) | −4.85691 | + | 8.41241i | −0.205425 | + | 0.355807i | ||||
\(560\) | 2.36629 | + | 2.17237i | 0.0999938 | + | 0.0917992i | ||||
\(561\) | −8.14393 | + | 8.14393i | −0.343837 | + | 0.343837i | ||||
\(562\) | 4.25345 | + | 15.8741i | 0.179421 | + | 0.669607i | ||||
\(563\) | 42.7468 | 1.80156 | 0.900781 | − | 0.434274i | \(-0.142995\pi\) | ||||
0.900781 | + | 0.434274i | \(0.142995\pi\) | |||||||
\(564\) | 29.8050 | − | 17.2080i | 1.25502 | − | 0.724586i | ||||
\(565\) | −18.1847 | − | 28.6031i | −0.765036 | − | 1.20334i | ||||
\(566\) | 6.30467i | 0.265005i | ||||||||
\(567\) | −51.1076 | − | 13.6942i | −2.14632 | − | 0.575104i | ||||
\(568\) | 3.83717 | − | 6.64618i | 0.161004 | − | 0.278867i | ||||
\(569\) | 14.2239 | − | 14.2239i | 0.596296 | − | 0.596296i | −0.343029 | − | 0.939325i | \(-0.611453\pi\) |
0.939325 | + | 0.343029i | \(0.111453\pi\) | |||||||
\(570\) | 19.7018 | + | 10.2795i | 0.825218 | + | 0.430560i | ||||
\(571\) | 3.21182 | + | 5.56303i | 0.134410 | + | 0.232806i | 0.925372 | − | 0.379060i | \(-0.123753\pi\) |
−0.790962 | + | 0.611866i | \(0.790419\pi\) | |||||||
\(572\) | −14.3421 | + | 8.28039i | −0.599672 | + | 0.346221i | ||||
\(573\) | 6.11996 | + | 3.53336i | 0.255665 | + | 0.147608i | ||||
\(574\) | 5.44648 | − | 1.45938i | 0.227332 | − | 0.0609133i | ||||
\(575\) | 21.9360 | − | 1.87792i | 0.914793 | − | 0.0783148i | ||||
\(576\) | −7.30413 | + | 4.21704i | −0.304339 | + | 0.175710i | ||||
\(577\) | 13.0854 | − | 7.55484i | 0.544751 | − | 0.314512i | −0.202251 | − | 0.979334i | \(-0.564826\pi\) |
0.747002 | + | 0.664821i | \(0.231492\pi\) | |||||||
\(578\) | −16.0552 | −0.667810 | ||||||||
\(579\) | 8.18609 | + | 30.5509i | 0.340202 | + | 1.26965i | ||||
\(580\) | 22.5750 | − | 7.09471i | 0.937374 | − | 0.294592i | ||||
\(581\) | −5.03968 | −0.209081 | ||||||||
\(582\) | −9.62085 | − | 9.62085i | −0.398797 | − | 0.398797i | ||||
\(583\) | −4.48986 | − | 1.20306i | −0.185951 | − | 0.0498255i | ||||
\(584\) | 8.69667 | − | 8.69667i | 0.359871 | − | 0.359871i | ||||
\(585\) | 89.0475 | − | 3.80468i | 3.68166 | − | 0.157304i | ||||
\(586\) | 0.283790 | + | 0.283790i | 0.0117233 | + | 0.0117233i | ||||
\(587\) | 2.10966 | − | 3.65404i | 0.0870751 | − | 0.150818i | −0.819198 | − | 0.573510i | \(-0.805581\pi\) |
0.906274 | + | 0.422692i | \(0.138915\pi\) | |||||||
\(588\) | 16.1230 | − | 4.32015i | 0.664902 | − | 0.178160i | ||||
\(589\) | 13.1820 | + | 7.61061i | 0.543153 | + | 0.313590i | ||||
\(590\) | −3.35968 | − | 10.6903i | −0.138316 | − | 0.440113i | ||||
\(591\) | − | 29.9469i | − | 1.23185i | ||||||
\(592\) | −6.04717 | + | 0.657081i | −0.248537 | + | 0.0270058i | ||||
\(593\) | −19.1963 | − | 19.1963i | −0.788298 | − | 0.788298i | 0.192917 | − | 0.981215i | \(-0.438205\pi\) |
−0.981215 | + | 0.192917i | \(0.938205\pi\) | |||||||
\(594\) | −62.1951 | − | 16.6651i | −2.55190 | − | 0.683778i | ||||
\(595\) | 2.11152 | − | 2.30001i | 0.0865639 | − | 0.0942912i | ||||
\(596\) | 3.07030 | + | 1.77264i | 0.125764 | + | 0.0726100i | ||||
\(597\) | −48.1205 | − | 27.7824i | −1.96944 | − | 1.13706i | ||||
\(598\) | −20.8098 | −0.850976 | ||||||||
\(599\) | 2.18083 | + | 1.25910i | 0.0891062 | + | 0.0514455i | 0.543891 | − | 0.839156i | \(-0.316950\pi\) |
−0.454785 | + | 0.890601i | \(0.650284\pi\) | |||||||
\(600\) | −5.75294 | − | 15.8983i | −0.234863 | − | 0.649045i | ||||
\(601\) | 9.51906 | + | 16.4875i | 0.388291 | + | 0.672539i | 0.992220 | − | 0.124499i | \(-0.0397324\pi\) |
−0.603929 | + | 0.797038i | \(0.706399\pi\) | |||||||
\(602\) | −2.08787 | + | 2.08787i | −0.0850951 | + | 0.0850951i | ||||
\(603\) | −11.8229 | + | 11.8229i | −0.481467 | + | 0.481467i | ||||
\(604\) | 2.07856 | − | 1.20006i | 0.0845753 | − | 0.0488296i | ||||
\(605\) | 0.122107 | + | 2.85788i | 0.00496436 | + | 0.116189i | ||||
\(606\) | −9.58904 | − | 9.58904i | −0.389528 | − | 0.389528i | ||||
\(607\) | −9.01879 | − | 15.6210i | −0.366061 | − | 0.634037i | 0.622884 | − | 0.782314i | \(-0.285961\pi\) |
−0.988946 | + | 0.148277i | \(0.952627\pi\) | |||||||
\(608\) | −0.760674 | + | 2.83888i | −0.0308494 | + | 0.115132i | ||||
\(609\) | −13.3050 | + | 49.6549i | −0.539146 | + | 2.01212i | ||||
\(610\) | 2.01354 | − | 2.19328i | 0.0815257 | − | 0.0888032i | ||||
\(611\) | −12.4494 | − | 46.4620i | −0.503651 | − | 1.87965i | ||||
\(612\) | 4.09892 | + | 7.09955i | 0.165689 | + | 0.286982i | ||||
\(613\) | 5.21096 | + | 1.39627i | 0.210469 | + | 0.0563949i | 0.362513 | − | 0.931979i | \(-0.381919\pi\) |
−0.152044 | + | 0.988374i | \(0.548586\pi\) | |||||||
\(614\) | −7.57292 | + | 28.2625i | −0.305618 | + | 1.14058i | ||||
\(615\) | −28.9685 | − | 6.45052i | −1.16812 | − | 0.260110i | ||||
\(616\) | −4.86242 | + | 1.30288i | −0.195913 | + | 0.0524946i | ||||
\(617\) | 3.09849 | − | 11.5637i | 0.124741 | − | 0.465538i | −0.875090 | − | 0.483961i | \(-0.839198\pi\) |
0.999830 | + | 0.0184227i | \(0.00586446\pi\) | |||||||
\(618\) | −25.4414 | − | 25.4414i | −1.02340 | − | 1.02340i | ||||
\(619\) | 30.2107 | 1.21427 | 0.607135 | − | 0.794598i | \(-0.292319\pi\) | ||||
0.607135 | + | 0.794598i | \(0.292319\pi\) | |||||||
\(620\) | −3.47206 | − | 11.0479i | −0.139441 | − | 0.443693i | ||||
\(621\) | −57.2116 | − | 57.2116i | −2.29582 | − | 2.29582i | ||||
\(622\) | −7.62862 | + | 2.04408i | −0.305880 | + | 0.0819602i | ||||
\(623\) | − | 12.1490i | − | 0.486741i | ||||||
\(624\) | 4.13611 | + | 15.4362i | 0.165577 | + | 0.617941i | ||||
\(625\) | 24.6362 | − | 4.24932i | 0.985449 | − | 0.169973i | ||||
\(626\) | 14.1499 | − | 24.5084i | 0.565545 | − | 0.979553i | ||||
\(627\) | −30.1592 | + | 17.4124i | −1.20444 | + | 0.695385i | ||||
\(628\) | 12.4126 | − | 12.4126i | 0.495316 | − | 0.495316i | ||||
\(629\) | 0.638677 | + | 5.87779i | 0.0254657 | + | 0.234363i | ||||
\(630\) | 26.4446 | + | 5.88851i | 1.05358 | + | 0.234604i | ||||
\(631\) | 0.702127 | − | 2.62037i | 0.0279512 | − | 0.104315i | −0.950541 | − | 0.310599i | \(-0.899470\pi\) |
0.978492 | + | 0.206284i | \(0.0661370\pi\) | |||||||
\(632\) | 2.35523 | − | 0.631083i | 0.0936862 | − | 0.0251031i | ||||
\(633\) | 2.64786 | + | 9.88194i | 0.105243 | + | 0.392772i | ||||
\(634\) | 1.88918 | − | 0.506204i | 0.0750289 | − | 0.0201039i | ||||
\(635\) | 1.29475 | − | 5.81455i | 0.0513804 | − | 0.230743i | ||||
\(636\) | −2.24272 | + | 3.88450i | −0.0889294 | + | 0.154030i | ||||
\(637\) | − | 23.3290i | − | 0.924330i | ||||||
\(638\) | −9.59792 | + | 35.8199i | −0.379985 | + | 1.41812i | ||||
\(639\) | − | 64.7260i | − | 2.56052i | ||||||
\(640\) | 1.88700 | − | 1.19968i | 0.0745902 | − | 0.0474215i | ||||
\(641\) | 22.6822 | + | 39.2868i | 0.895895 | + | 1.55174i | 0.832693 | + | 0.553734i | \(0.186798\pi\) |
0.0632015 | + | 0.998001i | \(0.479869\pi\) | |||||||
\(642\) | 34.0914 | + | 19.6827i | 1.34548 | + | 0.776814i | ||||
\(643\) | − | 39.8599i | − | 1.57192i | −0.618276 | − | 0.785961i | \(-0.712168\pi\) | ||
0.618276 | − | 0.785961i | \(-0.287832\pi\) | |||||||
\(644\) | −6.10997 | − | 1.63716i | −0.240767 | − | 0.0645132i | ||||
\(645\) | 14.8261 | − | 4.65946i | 0.583778 | − | 0.183466i | ||||
\(646\) | 2.75936 | + | 0.739369i | 0.108566 | + | 0.0290901i | ||||
\(647\) | −6.86778 | + | 11.8953i | −0.270000 | + | 0.467654i | −0.968862 | − | 0.247603i | \(-0.920357\pi\) |
0.698861 | + | 0.715257i | \(0.253690\pi\) | |||||||
\(648\) | −18.4157 | + | 31.8970i | −0.723438 | + | 1.25303i | ||||
\(649\) | 16.9624 | + | 4.54506i | 0.665833 | + | 0.178409i | ||||
\(650\) | −23.5440 | + | 2.01558i | −0.923470 | + | 0.0790575i | ||||
\(651\) | 24.3004 | + | 6.51128i | 0.952409 | + | 0.255197i | ||||
\(652\) | 1.56723i | 0.0613775i | ||||||||
\(653\) | 42.4731 | + | 24.5219i | 1.66210 | + | 0.959614i | 0.971710 | + | 0.236178i | \(0.0758947\pi\) |
0.690391 | + | 0.723437i | \(0.257439\pi\) | |||||||
\(654\) | 0.375964 | + | 0.651189i | 0.0147014 | + | 0.0254635i | ||||
\(655\) | 41.5921 | + | 9.26145i | 1.62514 | + | 0.361875i | ||||
\(656\) | − | 3.92508i | − | 0.153249i | ||||||
\(657\) | 26.8474 | − | 100.196i | 1.04742 | − | 3.90901i | ||||
\(658\) | − | 14.6212i | − | 0.569992i | ||||||
\(659\) | 12.3022 | − | 21.3080i | 0.479226 | − | 0.830043i | −0.520491 | − | 0.853867i | \(-0.674251\pi\) |
0.999716 | + | 0.0238243i | \(0.00758424\pi\) | |||||||
\(660\) | 25.8621 | + | 5.75879i | 1.00668 | + | 0.224161i | ||||
\(661\) | 27.3954 | − | 7.34058i | 1.06556 | − | 0.285515i | 0.316891 | − | 0.948462i | \(-0.397361\pi\) |
0.748667 | + | 0.662947i | \(0.230694\pi\) | |||||||
\(662\) | 1.61772 | + | 6.03742i | 0.0628745 | + | 0.234651i | ||||
\(663\) | 15.0038 | − | 4.02026i | 0.582700 | − | 0.156134i | ||||
\(664\) | −0.907980 | + | 3.38863i | −0.0352364 | + | 0.131504i | ||||
\(665\) | 7.96705 | − | 5.06513i | 0.308949 | − | 0.196417i | ||||
\(666\) | −41.3983 | + | 30.3005i | −1.60415 | + | 1.17412i | ||||
\(667\) | −32.9498 | + | 32.9498i | −1.27582 | + | 1.27582i | ||||
\(668\) | −13.1746 | + | 7.60634i | −0.509739 | + | 0.294298i | ||||
\(669\) | 29.5763 | − | 51.2277i | 1.14349 | − | 1.98058i | ||||
\(670\) | 2.99787 | − | 3.26548i | 0.115818 | − | 0.126156i | ||||
\(671\) | 1.20762 | + | 4.50691i | 0.0466198 | + | 0.173987i | ||||
\(672\) | 4.85762i | 0.187387i | ||||||||
\(673\) | −38.3933 | + | 10.2874i | −1.47995 | + | 0.396552i | −0.906331 | − | 0.422569i | \(-0.861128\pi\) |
−0.573621 | + | 0.819121i | \(0.694462\pi\) | |||||||
\(674\) | 11.6182 | + | 11.6182i | 0.447518 | + | 0.447518i | ||||
\(675\) | −70.2699 | − | 59.1872i | −2.70469 | − | 2.27812i | ||||
\(676\) | 9.33521 | 0.359047 | ||||||||
\(677\) | −32.3047 | − | 32.3047i | −1.24157 | − | 1.24157i | −0.959349 | − | 0.282222i | \(-0.908929\pi\) |
−0.282222 | − | 0.959349i | \(-0.591071\pi\) | |||||||
\(678\) | 13.2659 | − | 49.5091i | 0.509475 | − | 1.90139i | ||||
\(679\) | −5.58335 | + | 1.49605i | −0.214269 | + | 0.0574133i | ||||
\(680\) | −1.16608 | − | 1.83415i | −0.0447170 | − | 0.0703364i | ||||
\(681\) | −16.2086 | + | 60.4915i | −0.621117 | + | 2.31804i | ||||
\(682\) | 17.5298 | + | 4.69709i | 0.671250 | + | 0.179861i | ||||
\(683\) | 0.929575 | + | 1.61007i | 0.0355692 | + | 0.0616077i | 0.883262 | − | 0.468880i | \(-0.155342\pi\) |
−0.847693 | + | 0.530487i | \(0.822009\pi\) | |||||||
\(684\) | 6.41559 | + | 23.9433i | 0.245306 | + | 0.915495i | ||||
\(685\) | −8.30365 | − | 7.62316i | −0.317266 | − | 0.291266i | ||||
\(686\) | 4.43802 | − | 16.5629i | 0.169444 | − | 0.632375i | ||||
\(687\) | −3.07775 | + | 11.4863i | −0.117424 | + | 0.438231i | ||||
\(688\) | 1.02770 | + | 1.78002i | 0.0391806 | + | 0.0678627i | ||||
\(689\) | 4.43286 | + | 4.43286i | 0.168878 | + | 0.168878i | ||||
\(690\) | 24.5255 | + | 22.5156i | 0.933669 | + | 0.857154i | ||||
\(691\) | 3.86457 | − | 2.23121i | 0.147015 | − | 0.0848793i | −0.424688 | − | 0.905340i | \(-0.639616\pi\) |
0.571703 | + | 0.820460i | \(0.306283\pi\) | |||||||
\(692\) | −14.9715 | + | 14.9715i | −0.569130 | + | 0.569130i | ||||
\(693\) | −30.0214 | + | 30.0214i | −1.14042 | + | 1.14042i | ||||
\(694\) | −17.0433 | − | 29.5199i | −0.646956 | − | 1.12056i | ||||
\(695\) | −23.8236 | + | 15.1461i | −0.903682 | + | 0.574525i | ||||
\(696\) | 30.9903 | + | 17.8923i | 1.17469 | + | 0.678205i | ||||
\(697\) | −3.81515 | −0.144509 | ||||||||
\(698\) | 10.0882 | + | 5.82443i | 0.381844 | + | 0.220458i | ||||
\(699\) | 43.4349 | + | 25.0771i | 1.64286 | + | 0.948504i | ||||
\(700\) | −7.07132 | − | 1.26047i | −0.267271 | − | 0.0476413i | ||||
\(701\) | −20.2624 | − | 5.42929i | −0.765300 | − | 0.205061i | −0.145006 | − | 0.989431i | \(-0.546320\pi\) |
−0.620294 | + | 0.784369i | \(0.712987\pi\) | |||||||
\(702\) | 61.4054 | + | 61.4054i | 2.31760 | + | 2.31760i | ||||
\(703\) | −2.73456 | + | 17.6670i | −0.103136 | + | 0.666323i | ||||
\(704\) | 3.50418i | 0.132069i | ||||||||
\(705\) | −35.5981 | + | 68.2279i | −1.34070 | + | 2.56961i | ||||
\(706\) | −5.24895 | − | 3.03048i | −0.197547 | − | 0.114054i | ||||
\(707\) | −5.56489 | + | 1.49111i | −0.209289 | + | 0.0560788i | ||||
\(708\) | 8.47283 | − | 14.6754i | 0.318428 | − | 0.551534i | ||||
\(709\) | −29.2845 | − | 29.2845i | −1.09980 | − | 1.09980i | −0.994433 | − | 0.105371i | \(-0.966397\pi\) |
−0.105371 | − | 0.994433i | \(-0.533603\pi\) | |||||||
\(710\) | 0.732533 | + | 17.1447i | 0.0274915 | + | 0.643430i | ||||
\(711\) | 14.5416 | − | 14.5416i | 0.545354 | − | 0.545354i | ||||
\(712\) | −8.16888 | − | 2.18884i | −0.306142 | − | 0.0820304i | ||||
\(713\) | 16.1252 | + | 16.1252i | 0.603892 | + | 0.603892i | ||||
\(714\) | 4.72156 | 0.176700 | ||||||||
\(715\) | 17.1297 | − | 32.8310i | 0.640613 | − | 1.22781i | ||||
\(716\) | −0.337331 | − | 1.25894i | −0.0126066 | − | 0.0470487i | ||||
\(717\) | 66.7467 | 2.49270 | ||||||||
\(718\) | −27.6997 | + | 15.9924i | −1.03374 | + | 0.596831i | ||||
\(719\) | −27.3472 | + | 15.7889i | −1.01988 | + | 0.588826i | −0.914068 | − | 0.405560i | \(-0.867077\pi\) |
−0.105809 | + | 0.994386i | \(0.533743\pi\) | |||||||
\(720\) | 8.72379 | − | 16.7202i | 0.325117 | − | 0.623124i | ||||
\(721\) | −14.7646 | + | 3.95617i | −0.549863 | + | 0.147335i | ||||
\(722\) | −8.97389 | − | 5.18108i | −0.333974 | − | 0.192820i | ||||
\(723\) | 12.4542 | − | 7.19045i | 0.463177 | − | 0.267416i | ||||
\(724\) | −2.29210 | − | 3.97004i | −0.0851853 | − | 0.147545i | ||||
\(725\) | −34.0876 | + | 40.4704i | −1.26598 | + | 1.50303i | ||||
\(726\) | −3.05873 | + | 3.05873i | −0.113520 | + | 0.113520i | ||||
\(727\) | −25.0660 | + | 43.4156i | −0.929647 | + | 1.61020i | −0.145734 | + | 0.989324i | \(0.546554\pi\) |
−0.783912 | + | 0.620872i | \(0.786779\pi\) | |||||||
\(728\) | 6.55785 | + | 1.75717i | 0.243050 | + | 0.0651251i | ||||
\(729\) | 124.238i | 4.60141i | ||||||||
\(730\) | −5.97741 | + | 26.8438i | −0.221234 | + | 0.993534i | ||||
\(731\) | 1.73017 | − | 0.998912i | 0.0639925 | − | 0.0369461i | ||||
\(732\) | 4.50246 | 0.166416 | ||||||||
\(733\) | −7.99651 | − | 29.8434i | −0.295358 | − | 1.10229i | −0.940933 | − | 0.338594i | \(-0.890049\pi\) |
0.645575 | − | 0.763697i | \(-0.276618\pi\) | |||||||
\(734\) | 9.29420 | − | 9.29420i | 0.343055 | − | 0.343055i | ||||
\(735\) | −25.2413 | + | 27.4946i | −0.931041 | + | 1.01415i | ||||
\(736\) | −2.20162 | + | 3.81332i | −0.0811528 | + | 0.140561i | ||||
\(737\) | 1.79798 | + | 6.71015i | 0.0662294 | + | 0.247171i | ||||
\(738\) | −16.5522 | − | 28.6693i | −0.609296 | − | 1.05533i | ||||
\(739\) | 12.6410 | 0.465008 | 0.232504 | − | 0.972595i | \(-0.425308\pi\) | ||||
0.232504 | + | 0.972595i | \(0.425308\pi\) | |||||||
\(740\) | 10.6227 | − | 8.49457i | 0.390499 | − | 0.312267i | ||||
\(741\) | 46.9676 | 1.72540 | ||||||||
\(742\) | 0.952788 | + | 1.65028i | 0.0349780 | + | 0.0605836i | ||||
\(743\) | −6.29439 | − | 23.4910i | −0.230919 | − | 0.861801i | −0.979946 | − | 0.199262i | \(-0.936146\pi\) |
0.749027 | − | 0.662539i | \(-0.230521\pi\) | |||||||
\(744\) | 8.75623 | − | 15.1662i | 0.321019 | − | 0.556021i | ||||
\(745\) | −7.92024 | + | 0.338404i | −0.290175 | + | 0.0123982i | ||||
\(746\) | −16.2338 | + | 16.2338i | −0.594361 | + | 0.594361i | ||||
\(747\) | 7.65797 | + | 28.5799i | 0.280190 | + | 1.04568i | ||||
\(748\) | 3.40603 | 0.124537 | ||||||||
\(749\) | 14.4833 | − | 8.36194i | 0.529209 | − | 0.305539i | ||||
\(750\) | 29.9286 | + | 23.0984i | 1.09284 | + | 0.843434i | ||||
\(751\) | − | 2.01126i | − | 0.0733919i | −0.999326 | − | 0.0366959i | \(-0.988317\pi\) | ||
0.999326 | − | 0.0366959i | \(-0.0116833\pi\) | |||||||
\(752\) | −9.83111 | − | 2.63424i | −0.358504 | − | 0.0960607i | ||||
\(753\) | 41.8438 | − | 72.4757i | 1.52487 | − | 2.64116i | ||||
\(754\) | 35.3651 | − | 35.3651i | 1.28792 | − | 1.28792i | ||||
\(755\) | −2.48256 | + | 4.75811i | −0.0903495 | + | 0.173165i | ||||
\(756\) | 13.1983 | + | 22.8602i | 0.480019 | + | 0.831417i | ||||
\(757\) | 23.6621 | − | 13.6613i | 0.860014 | − | 0.496529i | −0.00400317 | − | 0.999992i | \(-0.501274\pi\) |
0.864017 | + | 0.503463i | \(0.167941\pi\) | |||||||
\(758\) | −9.34232 | − | 5.39379i | −0.339328 | − | 0.195911i | ||||
\(759\) | −50.3968 | + | 13.5038i | −1.82929 | + | 0.490156i | ||||
\(760\) | −1.97035 | − | 6.26952i | −0.0714720 | − | 0.227420i | ||||
\(761\) | −4.73002 | + | 2.73088i | −0.171463 | + | 0.0989942i | −0.583275 | − | 0.812274i | \(-0.698229\pi\) |
0.411813 | + | 0.911269i | \(0.364896\pi\) | |||||||
\(762\) | 7.80137 | − | 4.50412i | 0.282614 | − | 0.163167i | ||||
\(763\) | 0.319447 | 0.0115648 | ||||||||
\(764\) | −0.540896 | − | 2.01865i | −0.0195689 | − | 0.0730322i | ||||
\(765\) | −16.2518 | − | 8.47945i | −0.587587 | − | 0.306575i | ||||
\(766\) | 29.0905 | 1.05108 | ||||||||
\(767\) | −16.7470 | − | 16.7470i | −0.604700 | − | 0.604700i | ||||
\(768\) | 3.26621 | + | 0.875179i | 0.117859 | + | 0.0315803i | ||||
\(769\) | −24.5717 | + | 24.5717i | −0.886078 | + | 0.886078i | −0.994144 | − | 0.108065i | \(-0.965534\pi\) |
0.108065 | + | 0.994144i | \(0.465534\pi\) | |||||||
\(770\) | 7.61235 | − | 8.29188i | 0.274330 | − | 0.298819i | ||||
\(771\) | −30.3883 | − | 30.3883i | −1.09441 | − | 1.09441i | ||||
\(772\) | 4.67681 | − | 8.10047i | 0.168322 | − | 0.291542i | ||||
\(773\) | −28.4194 | + | 7.61495i | −1.02217 | + | 0.273891i | −0.730708 | − | 0.682690i | \(-0.760810\pi\) |
−0.291466 | + | 0.956581i | \(0.594143\pi\) | |||||||
\(774\) | 15.0129 | + | 8.66767i | 0.539626 | + | 0.311553i | ||||
\(775\) | 19.8057 | + | 16.6820i | 0.711441 | + | 0.599235i | ||||
\(776\) | 4.02372i | 0.144443i | ||||||||
\(777\) | 3.19185 | + | 29.3748i | 0.114507 | + | 1.05382i | ||||
\(778\) | 12.7044 | + | 12.7044i | 0.455475 | + | 0.455475i | ||||
\(779\) | −11.1428 | − | 2.98571i | −0.399233 | − | 0.106974i | ||||
\(780\) | −26.3233 | − | 24.1660i | −0.942525 | − | 0.865283i | ||||
\(781\) | −23.2894 | − | 13.4461i | −0.833359 | − | 0.481140i | ||||
\(782\) | 3.70651 | + | 2.13996i | 0.132545 | + | 0.0765247i | ||||
\(783\) | 194.456 | 6.94929 | ||||||||
\(784\) | −4.27496 | − | 2.46815i | −0.152677 | − | 0.0881483i | ||||
\(785\) | −8.53144 | + | 38.3137i | −0.304500 | + | 1.36747i | ||||
\(786\) | 32.2184 | + | 55.8040i | 1.14919 | + | 1.99046i | ||||
\(787\) | 35.7691 | − | 35.7691i | 1.27503 | − | 1.27503i | 0.331614 | − | 0.943415i | \(-0.392407\pi\) |
0.943415 | − | 0.331614i | \(-0.107593\pi\) | |||||||
\(788\) | −6.26234 | + | 6.26234i | −0.223087 | + | 0.223087i | ||||
\(789\) | −80.3553 | + | 46.3932i | −2.86072 | + | 1.65164i | ||||
\(790\) | −3.68723 | + | 4.01638i | −0.131186 | + | 0.142896i | ||||
\(791\) | −15.3974 | − | 15.3974i | −0.547470 | − | 0.547470i | ||||
\(792\) | 14.7772 | + | 25.5949i | 0.525087 | + | 0.909477i | ||||
\(793\) | 1.62870 | − | 6.07838i | 0.0578368 | − | 0.215850i | ||||
\(794\) | −5.79233 | + | 21.6173i | −0.205562 | + | 0.767168i | ||||
\(795\) | −0.428144 | − | 10.0206i | −0.0151847 | − | 0.355394i | ||||
\(796\) | 4.25300 | + | 15.8724i | 0.150743 | + | 0.562582i | ||||
\(797\) | −7.08703 | − | 12.2751i | −0.251035 | − | 0.434806i | 0.712776 | − | 0.701392i | \(-0.247438\pi\) |
−0.963811 | + | 0.266586i | \(0.914104\pi\) | |||||||
\(798\) | 13.7902 | + | 3.69507i | 0.488167 | + | 0.130804i | ||||
\(799\) | −2.56046 | + | 9.55575i | −0.0905824 | + | 0.338058i | ||||
\(800\) | −2.12154 | + | 4.52759i | −0.0750078 | + | 0.160074i | ||||
\(801\) | −68.8969 | + | 18.4609i | −2.43435 | + | 0.652283i | ||||
\(802\) | 2.83388 | − | 10.5762i | 0.100068 | − | 0.373458i | ||||
\(803\) | −30.4746 | − | 30.4746i | −1.07543 | − | 1.07543i | ||||
\(804\) | 6.70352 | 0.236415 | ||||||||
\(805\) | 13.4936 | − | 4.24068i | 0.475587 | − | 0.149464i | ||||
\(806\) | −17.3072 | − | 17.3072i | −0.609620 | − | 0.609620i | ||||
\(807\) | 92.5752 | − | 24.8055i | 3.25880 | − | 0.873193i | ||||
\(808\) | 4.01042i | 0.141086i | ||||||||
\(809\) | 0.159692 | + | 0.595977i | 0.00561446 | + | 0.0209534i | 0.968676 | − | 0.248327i | \(-0.0798808\pi\) |
−0.963062 | + | 0.269281i | \(0.913214\pi\) | |||||||
\(810\) | −3.51564 | − | 82.2825i | −0.123527 | − | 2.89111i | ||||
\(811\) | 0.826008 | − | 1.43069i | 0.0290051 | − | 0.0502383i | −0.851158 | − | 0.524909i | \(-0.824099\pi\) |
0.880164 | + | 0.474671i | \(0.157433\pi\) | |||||||
\(812\) | 13.1658 | − | 7.60130i | 0.462030 | − | 0.266753i | ||||
\(813\) | −38.5617 | + | 38.5617i | −1.35242 | + | 1.35242i | ||||
\(814\) | 2.30253 | + | 21.1903i | 0.0807035 | + | 0.742721i | ||||
\(815\) | −1.88017 | − | 2.95736i | −0.0658596 | − | 0.103592i | ||||
\(816\) | 0.850666 | − | 3.17473i | 0.0297793 | − | 0.111138i | ||||
\(817\) | 5.83501 | − | 1.56349i | 0.204141 | − | 0.0546994i | ||||
\(818\) | 9.84406 | + | 36.7385i | 0.344189 | + | 1.28453i | ||||
\(819\) | 55.3094 | − | 14.8201i | 1.93267 | − | 0.517857i | ||||
\(820\) | 4.70884 | + | 7.40664i | 0.164440 | + | 0.258651i | ||||
\(821\) | 9.77472 | − | 16.9303i | 0.341140 | − | 0.590872i | −0.643505 | − | 0.765442i | \(-0.722520\pi\) |
0.984645 | + | 0.174570i | \(0.0558536\pi\) | |||||||
\(822\) | − | 17.0461i | − | 0.594552i | ||||||
\(823\) | −11.9558 | + | 44.6198i | −0.416754 | + | 1.55535i | 0.364541 | + | 0.931187i | \(0.381226\pi\) |
−0.781296 | + | 0.624161i | \(0.785441\pi\) | |||||||
\(824\) | 10.6403i | 0.370674i | ||||||||
\(825\) | −55.7104 | + | 20.1593i | −1.93959 | + | 0.701857i | ||||
\(826\) | −3.59957 | − | 6.23464i | −0.125245 | − | 0.216931i | ||||
\(827\) | −3.11021 | − | 1.79568i | −0.108152 | − | 0.0624419i | 0.444948 | − | 0.895556i | \(-0.353222\pi\) |
−0.553101 | + | 0.833115i | \(0.686555\pi\) | |||||||
\(828\) | 37.1373i | 1.29061i | ||||||||
\(829\) | −26.7372 | − | 7.16420i | −0.928620 | − | 0.248823i | −0.237354 | − | 0.971423i | \(-0.576280\pi\) |
−0.691266 | + | 0.722600i | \(0.742947\pi\) | |||||||
\(830\) | −2.35191 | − | 7.48362i | −0.0816358 | − | 0.259760i | ||||
\(831\) | 31.0484 | + | 8.31940i | 1.07706 | + | 0.288597i | ||||
\(832\) | 2.36301 | − | 4.09285i | 0.0819225 | − | 0.141894i | ||||
\(833\) | −2.39902 | + | 4.15523i | −0.0831212 | + | 0.143970i | ||||
\(834\) | −41.2364 | − | 11.0492i | −1.42790 | − | 0.382604i | ||||
\(835\) | 15.7352 | − | 30.1584i | 0.544540 | − | 1.04367i | ||||
\(836\) | 9.94792 | + | 2.66554i | 0.344056 | + | 0.0921895i | ||||
\(837\) | − | 95.1641i | − | 3.28935i | ||||||
\(838\) | 17.6534 | + | 10.1922i | 0.609826 | + | 0.352083i | ||||
\(839\) | −11.9347 | − | 20.6714i | −0.412030 | − | 0.713657i | 0.583082 | − | 0.812414i | \(-0.301847\pi\) |
−0.995112 | + | 0.0987566i | \(0.968513\pi\) | |||||||
\(840\) | −5.82758 | − | 9.16633i | −0.201071 | − | 0.316268i | ||||
\(841\) | − | 82.9928i | − | 2.86182i | ||||||
\(842\) | 0.473653 | − | 1.76770i | 0.0163232 | − | 0.0609188i | ||||
\(843\) | − | 55.5706i | − | 1.91395i | ||||||
\(844\) | 1.51275 | − | 2.62016i | 0.0520711 | − | 0.0901897i | ||||
\(845\) | −17.6156 | + | 11.1993i | −0.605993 | + | 0.385266i | ||||
\(846\) | −82.9163 | + | 22.2174i | −2.85072 | + | 0.763849i | ||||
\(847\) | 0.475636 | + | 1.77510i | 0.0163430 | + | 0.0609930i | ||||
\(848\) | 1.28129 | − | 0.343321i | 0.0439997 | − | 0.0117897i | ||||
\(849\) | 5.51772 | − | 20.5924i | 0.189368 | − | 0.706729i | ||||
\(850\) | 4.40078 | + | 2.06212i | 0.150945 | + | 0.0707301i | ||||
\(851\) | −10.8079 | + | 24.5064i | −0.370491 | + | 0.840070i | ||||
\(852\) | −18.3496 | + | 18.3496i | −0.628647 | + | 0.628647i | ||||
\(853\) | −0.183861 | + | 0.106152i | −0.00629527 | + | 0.00363458i | −0.503144 | − | 0.864202i | \(-0.667824\pi\) |
0.496849 | + | 0.867837i | \(0.334490\pi\) | |||||||
\(854\) | 0.956406 | − | 1.65654i | 0.0327275 | − | 0.0566858i | ||||
\(855\) | −40.8305 | − | 37.4844i | −1.39637 | − | 1.28194i | ||||
\(856\) | −3.01308 | − | 11.2450i | −0.102985 | − | 0.384345i | ||||
\(857\) | 27.1108i | 0.926089i | 0.886335 | + | 0.463044i | \(0.153243\pi\) | ||||
−0.886335 | + | 0.463044i | \(0.846757\pi\) | |||||||
\(858\) | 54.0910 | − | 14.4936i | 1.84664 | − | 0.494805i | ||||
\(859\) | 21.9845 | + | 21.9845i | 0.750100 | + | 0.750100i | 0.974498 | − | 0.224398i | \(-0.0720415\pi\) |
−0.224398 | + | 0.974498i | \(0.572041\pi\) | |||||||
\(860\) | −4.07472 | − | 2.12600i | −0.138947 | − | 0.0724959i | ||||
\(861\) | −19.0666 | −0.649787 | ||||||||
\(862\) | −8.05678 | − | 8.05678i | −0.274415 | − | 0.274415i | ||||
\(863\) | 5.91079 | − | 22.0594i | 0.201206 | − | 0.750910i | −0.789367 | − | 0.613922i | \(-0.789591\pi\) |
0.990573 | − | 0.136988i | \(-0.0437423\pi\) | |||||||
\(864\) | 17.7488 | − | 4.75579i | 0.603828 | − | 0.161795i | ||||
\(865\) | 10.2902 | − | 46.2121i | 0.349878 | − | 1.57126i | ||||
\(866\) | 7.71298 | − | 28.7852i | 0.262098 | − | 0.978162i | ||||
\(867\) | 52.4398 | + | 14.0512i | 1.78095 | + | 0.477204i | ||||
\(868\) | −3.71997 | − | 6.44318i | −0.126264 | − | 0.218696i | ||||
\(869\) | −2.21143 | − | 8.25316i | −0.0750175 | − | 0.279969i | ||||
\(870\) | −79.9437 | + | 3.41571i | −2.71035 | + | 0.115804i | ||||
\(871\) | 2.42490 | − | 9.04985i | 0.0821646 | − | 0.306642i | ||||
\(872\) | 0.0575535 | − | 0.214793i | 0.00194901 | − | 0.00727380i | ||||
\(873\) | 16.9682 | + | 29.3898i | 0.574286 | + | 0.994693i | ||||
\(874\) | 9.15082 | + | 9.15082i | 0.309531 | + | 0.309531i | ||||
\(875\) | 14.8558 | − | 6.10481i | 0.502216 | − | 0.206380i | ||||
\(876\) | −36.0163 | + | 20.7940i | −1.21688 | + | 0.702565i | ||||
\(877\) | −21.9585 | + | 21.9585i | −0.741486 | + | 0.741486i | −0.972864 | − | 0.231378i | \(-0.925677\pi\) |
0.231378 | + | 0.972864i | \(0.425677\pi\) | |||||||
\(878\) | −1.10150 | + | 1.10150i | −0.0371740 | + | 0.0371740i | ||||
\(879\) | −0.678552 | − | 1.17529i | −0.0228870 | − | 0.0396415i | ||||
\(880\) | −4.20389 | − | 6.61238i | −0.141713 | − | 0.222903i | ||||
\(881\) | 18.6571 | + | 10.7717i | 0.628573 | + | 0.362907i | 0.780199 | − | 0.625531i | \(-0.215118\pi\) |
−0.151626 | + | 0.988438i | \(0.548451\pi\) | |||||||
\(882\) | −41.6332 | −1.40186 | ||||||||
\(883\) | 19.6654 | + | 11.3538i | 0.661793 | + | 0.382086i | 0.792960 | − | 0.609274i | \(-0.208539\pi\) |
−0.131167 | + | 0.991360i | \(0.541872\pi\) | |||||||
\(884\) | −3.97821 | − | 2.29682i | −0.133802 | − | 0.0772505i | ||||
\(885\) | 1.61750 | + | 37.8571i | 0.0543717 | + | 1.27255i | ||||
\(886\) | 1.43748 | + | 0.385172i | 0.0482931 | + | 0.0129401i | ||||
\(887\) | −0.00361556 | − | 0.00361556i | −0.000121399 | − | 0.000121399i | 0.707046 | − | 0.707167i | \(-0.250027\pi\) |
−0.707167 | + | 0.707046i | \(0.750027\pi\) | |||||||
\(888\) | 20.3264 | + | 3.14619i | 0.682109 | + | 0.105579i | ||||
\(889\) | − | 3.82704i | − | 0.128355i | ||||||
\(890\) | 18.0406 | − | 5.66968i | 0.604722 | − | 0.190048i | ||||
\(891\) | 111.773 | + | 64.5319i | 3.74452 | + | 2.16190i | ||||
\(892\) | −16.8973 | + | 4.52762i | −0.565763 | + | 0.151596i | ||||
\(893\) | −14.9565 | + | 25.9055i | −0.500502 | + | 0.866894i | ||||
\(894\) | −8.47686 | − | 8.47686i | −0.283509 | − | 0.283509i | ||||
\(895\) | 2.14686 | + | 1.97092i | 0.0717617 | + | 0.0658807i | ||||
\(896\) | 1.01580 | − | 1.01580i | 0.0339355 | − | 0.0339355i | ||||
\(897\) | 67.9692 | + | 18.2123i | 2.26942 | + | 0.608091i | ||||
\(898\) | −3.84964 | − | 3.84964i | −0.128464 | − | 0.128464i | ||||
\(899\) | −54.8077 | −1.82794 | ||||||||
\(900\) | 3.59702 | + | 42.0167i | 0.119901 | + | 1.40056i | ||||
\(901\) | −0.333705 | − | 1.24540i | −0.0111173 | − | 0.0414904i | ||||
\(902\) | −13.7542 | −0.457964 | ||||||||
\(903\) | 8.64667 | − | 4.99216i | 0.287743 | − | 0.166129i | ||||
\(904\) | −13.1272 | + | 7.57898i | −0.436604 | + | 0.252073i | ||||
\(905\) | 9.08797 | + | 4.74167i | 0.302094 | + | 0.157619i | ||||
\(906\) | −7.83927 | + | 2.10053i | −0.260442 | + | 0.0697853i | ||||
\(907\) | 36.3982 | + | 21.0145i | 1.20858 | + | 0.697776i | 0.962450 | − | 0.271460i | \(-0.0875066\pi\) |
0.246133 | + | 0.969236i | \(0.420840\pi\) | |||||||
\(908\) | 16.0391 | − | 9.26019i | 0.532277 | − | 0.307310i | ||||
\(909\) | 16.9121 | + | 29.2926i | 0.560939 | + | 0.971574i | ||||
\(910\) | −14.4827 | + | 4.55154i | −0.480097 | + | 0.150882i | ||||
\(911\) | 19.3975 | − | 19.3975i | 0.642668 | − | 0.642668i | −0.308543 | − | 0.951210i | \(-0.599841\pi\) |
0.951210 | + | 0.308543i | \(0.0998413\pi\) | |||||||
\(912\) | 4.96905 | − | 8.60664i | 0.164542 | − | 0.284994i | ||||
\(913\) | 11.8743 | + | 3.18172i | 0.392983 | + | 0.105300i | ||||
\(914\) | − | 8.70219i | − | 0.287843i | ||||||
\(915\) | −8.49614 | + | 5.40151i | −0.280874 | + | 0.178568i | ||||
\(916\) | 3.04556 | − | 1.75836i | 0.100628 | − | 0.0580978i | ||||
\(917\) | 27.3752 | 0.904008 | ||||||||
\(918\) | −4.62259 | − | 17.2517i | −0.152568 | − | 0.569392i | ||||
\(919\) | 7.19621 | − | 7.19621i | 0.237381 | − | 0.237381i | −0.578384 | − | 0.815765i | \(-0.696316\pi\) |
0.815765 | + | 0.578384i | \(0.196316\pi\) | |||||||
\(920\) | −0.420299 | − | 9.83697i | −0.0138569 | − | 0.324315i | ||||
\(921\) | 49.4695 | − | 85.6837i | 1.63008 | − | 2.82337i | ||||
\(922\) | −0.672506 | − | 2.50982i | −0.0221478 | − | 0.0826567i | ||||
\(923\) | 18.1345 | + | 31.4099i | 0.596905 | + | 1.03387i | ||||
\(924\) | 17.0220 | 0.559981 | ||||||||
\(925\) | −9.85432 | + | 28.7731i | −0.324008 | + | 0.946054i | ||||
\(926\) | −20.9855 | −0.689628 | ||||||||
\(927\) | 44.8707 | + | 77.7184i | 1.47375 | + | 2.55261i | ||||
\(928\) | −2.73899 | − | 10.2221i | −0.0899119 | − | 0.335556i | ||||
\(929\) | −6.98717 | + | 12.1021i | −0.229242 | + | 0.397058i | −0.957584 | − | 0.288156i | \(-0.906958\pi\) |
0.728342 | + | 0.685214i | \(0.240291\pi\) | |||||||
\(930\) | 1.67160 | + | 39.1234i | 0.0548140 | + | 1.28291i | ||||
\(931\) | −10.2586 | + | 10.2586i | −0.336213 | + | 0.336213i | ||||
\(932\) | −3.83887 | − | 14.3269i | −0.125746 | − | 0.469292i | ||||
\(933\) | 26.7056 | 0.874303 | ||||||||
\(934\) | −15.8254 | + | 9.13682i | −0.517824 | + | 0.298966i | ||||
\(935\) | −6.42718 | + | 4.08614i | −0.210191 | + | 0.133631i | ||||
\(936\) | − | 39.8596i | − | 1.30285i | ||||||
\(937\) | 6.60041 | + | 1.76857i | 0.215626 | + | 0.0577768i | 0.365015 | − | 0.931002i | \(-0.381064\pi\) |
−0.149389 | + | 0.988779i | \(0.547731\pi\) | |||||||
\(938\) | 1.42395 | − | 2.46636i | 0.0464937 | − | 0.0805294i | ||||
\(939\) | −67.6659 | + | 67.6659i | −2.20819 | + | 2.20819i | ||||
\(940\) | 21.7115 | − | 6.82336i | 0.708152 | − | 0.222554i | ||||
\(941\) | 18.5811 | + | 32.1834i | 0.605727 | + | 1.04915i | 0.991936 | + | 0.126739i | \(0.0404510\pi\) |
−0.386209 | + | 0.922411i | \(0.626216\pi\) | |||||||
\(942\) | −51.4054 | + | 29.6789i | −1.67488 | + | 0.966992i | ||||
\(943\) | −14.9676 | − | 8.64155i | −0.487412 | − | 0.281408i | ||||
\(944\) | −4.84063 | + | 1.29704i | −0.157549 | + | 0.0422151i | ||||
\(945\) | −52.3302 | − | 27.3034i | −1.70230 | − | 0.888181i | ||||
\(946\) | 6.23751 | − | 3.60123i | 0.202799 | − | 0.117086i | ||||
\(947\) | −42.4086 | + | 24.4846i | −1.37810 | + | 0.795644i | −0.991930 | − | 0.126785i | \(-0.959534\pi\) |
−0.386166 | + | 0.922429i | \(0.626201\pi\) | |||||||
\(948\) | −8.24501 | −0.267785 | ||||||||
\(949\) | 15.0439 | + | 56.1444i | 0.488344 | + | 1.82253i | ||||
\(950\) | 11.2395 | + | 9.46681i | 0.364656 | + | 0.307144i | ||||
\(951\) | −6.61348 | −0.214457 | ||||||||
\(952\) | −0.987348 | − | 0.987348i | −0.0320001 | − | 0.0320001i | ||||
\(953\) | −19.3616 | − | 5.18793i | −0.627185 | − | 0.168054i | −0.0687928 | − | 0.997631i | \(-0.521915\pi\) |
−0.558392 | + | 0.829577i | \(0.688581\pi\) | |||||||
\(954\) | 7.91090 | − | 7.91090i | 0.256125 | − | 0.256125i | ||||
\(955\) | 3.44240 | + | 3.16029i | 0.111394 | + | 0.102265i | ||||
\(956\) | −13.9577 | − | 13.9577i | −0.451424 | − | 0.451424i | ||||
\(957\) | 62.6977 | − | 108.596i | 2.02673 | − | 3.51040i | ||||
\(958\) | −8.87679 | + | 2.37853i | −0.286796 | + | 0.0768468i | ||||
\(959\) | −6.27160 | − | 3.62091i | −0.202521 | − | 0.116925i | ||||
\(960\) | −7.21328 | + | 2.26694i | −0.232807 | + | 0.0731653i | ||||
\(961\) | − | 4.17787i | − | 0.134770i | ||||||
\(962\) | 11.6002 | − | 26.3028i | 0.374005 | − | 0.848037i | ||||
\(963\) | −69.4284 | − | 69.4284i | −2.23730 | − | 2.23730i | ||||
\(964\) | −4.10799 | − | 1.10073i | −0.132309 | − | 0.0354522i | ||||
\(965\) | 0.892823 | + | 20.8963i | 0.0287410 | + | 0.672674i | ||||
\(966\) | 18.5237 | + | 10.6946i | 0.595989 | + | 0.344094i | ||||
\(967\) | −28.5379 | − | 16.4763i | −0.917716 | − | 0.529843i | −0.0348101 | − | 0.999394i | \(-0.511083\pi\) |
−0.882906 | + | 0.469551i | \(0.844416\pi\) | |||||||
\(968\) | 1.27925 | 0.0411166 | ||||||||
\(969\) | −8.36558 | − | 4.82987i | −0.268741 | − | 0.155158i | ||||
\(970\) | −4.82718 | − | 7.59277i | −0.154991 | − | 0.243789i | ||||
\(971\) | −6.88036 | − | 11.9171i | −0.220801 | − | 0.382439i | 0.734250 | − | 0.678879i | \(-0.237534\pi\) |
−0.955052 | + | 0.296440i | \(0.904201\pi\) | |||||||
\(972\) | 49.0860 | − | 49.0860i | 1.57443 | − | 1.57443i | ||||
\(973\) | −12.8246 | + | 12.8246i | −0.411138 | + | 0.411138i | ||||
\(974\) | 25.1720 | − | 14.5331i | 0.806564 | − | 0.465670i | ||||
\(975\) | 78.6635 | + | 14.0219i | 2.51925 | + | 0.449059i | ||||
\(976\) | −0.941530 | − | 0.941530i | −0.0301377 | − | 0.0301377i | ||||
\(977\) | 11.6348 | + | 20.1521i | 0.372231 | + | 0.644724i | 0.989908 | − | 0.141708i | \(-0.0452594\pi\) |
−0.617677 | + | 0.786432i | \(0.711926\pi\) | |||||||
\(978\) | 1.37161 | − | 5.11891i | 0.0438591 | − | 0.163685i | ||||
\(979\) | −7.67010 | + | 28.6252i | −0.245137 | + | 0.914865i | ||||
\(980\) | 11.0278 | − | 0.471181i | 0.352272 | − | 0.0150513i | ||||
\(981\) | −0.485411 | − | 1.81158i | −0.0154980 | − | 0.0578392i | ||||
\(982\) | 6.84516 | + | 11.8562i | 0.218438 | + | 0.378345i | ||||
\(983\) | 6.32309 | + | 1.69427i | 0.201675 | + | 0.0540387i | 0.358242 | − | 0.933629i | \(-0.383376\pi\) |
−0.156567 | + | 0.987667i | \(0.550043\pi\) | |||||||
\(984\) | −3.43515 | + | 12.8202i | −0.109509 | + | 0.408692i | ||||
\(985\) | 4.30424 | − | 19.3298i | 0.137145 | − | 0.615900i | ||||
\(986\) | −9.93576 | + | 2.66228i | −0.316419 | + | 0.0847842i | ||||
\(987\) | −12.7961 | + | 47.7558i | −0.407305 | + | 1.52008i | ||||
\(988\) | −9.82161 | − | 9.82161i | −0.312467 | − | 0.312467i | ||||
\(989\) | 9.05039 | 0.287786 | ||||||||
\(990\) | −58.5904 | − | 30.5697i | −1.86212 | − | 0.971569i | ||||
\(991\) | 30.4823 | + | 30.4823i | 0.968304 | + | 0.968304i | 0.999513 | − | 0.0312093i | \(-0.00993585\pi\) |
−0.0312093 | + | 0.999513i | \(0.509936\pi\) | |||||||
\(992\) | −5.00254 | + | 1.34043i | −0.158831 | + | 0.0425586i | ||||
\(993\) | − | 21.1353i | − | 0.670708i | ||||||
\(994\) | 2.85339 | + | 10.6490i | 0.0905039 | + | 0.337765i | ||||
\(995\) | −27.0672 | − | 24.8490i | −0.858087 | − | 0.787766i | ||||
\(996\) | 5.93131 | − | 10.2733i | 0.187941 | − | 0.325523i | ||||
\(997\) | 1.24079 | − | 0.716368i | 0.0392961 | − | 0.0226876i | −0.480223 | − | 0.877146i | \(-0.659444\pi\) |
0.519519 | + | 0.854459i | \(0.326111\pi\) | |||||||
\(998\) | 10.0204 | − | 10.0204i | 0.317190 | − | 0.317190i | ||||
\(999\) | 104.205 | − | 40.4215i | 3.29691 | − | 1.27888i |
(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 | 370.2.q.f.103.1 | yes | 32 | |
5.2 | odd | 4 | 370.2.r.f.177.1 | yes | 32 | ||
37.23 | odd | 12 | 370.2.r.f.23.1 | yes | 32 | ||
185.97 | even | 12 | inner | 370.2.q.f.97.1 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.q.f.97.1 | ✓ | 32 | 185.97 | even | 12 | inner | |
370.2.q.f.103.1 | yes | 32 | 1.1 | even | 1 | trivial | |
370.2.r.f.23.1 | yes | 32 | 37.23 | odd | 12 | ||
370.2.r.f.177.1 | yes | 32 | 5.2 | odd | 4 |