Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(15,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 12, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bs (of order \(60\), degree \(16\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(1280\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 15.10 | ||
Character | \(\chi\) | \(=\) | 572.15 |
Dual form | 572.2.bs.a.267.10 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.35262 | − | 0.412811i | −0.956448 | − | 0.291901i | ||||
\(3\) | 0.680250 | + | 3.20032i | 0.392742 | + | 1.84771i | 0.517723 | + | 0.855549i | \(0.326780\pi\) |
−0.124980 | + | 0.992159i | \(0.539887\pi\) | |||||||
\(4\) | 1.65917 | + | 1.11675i | 0.829587 | + | 0.558377i | ||||
\(5\) | 0.568211 | − | 3.58755i | 0.254112 | − | 1.60440i | −0.449142 | − | 0.893460i | \(-0.648270\pi\) |
0.703254 | − | 0.710939i | \(-0.251730\pi\) | |||||||
\(6\) | 0.401007 | − | 4.60964i | 0.163710 | − | 1.88188i | ||||
\(7\) | −0.245673 | + | 0.159542i | −0.0928557 | + | 0.0603012i | −0.590232 | − | 0.807234i | \(-0.700964\pi\) |
0.497376 | + | 0.867535i | \(0.334297\pi\) | |||||||
\(8\) | −1.78323 | − | 2.19547i | −0.630467 | − | 0.776216i | ||||
\(9\) | −7.03870 | + | 3.13383i | −2.34623 | + | 1.04461i | ||||
\(10\) | −2.24955 | + | 4.61803i | −0.711371 | + | 1.46035i | ||||
\(11\) | 2.52336 | − | 2.15236i | 0.760821 | − | 0.648961i | ||||
\(12\) | −2.44532 | + | 6.06957i | −0.705903 | + | 1.75213i | ||||
\(13\) | 3.57891 | + | 0.437527i | 0.992610 | + | 0.121348i | ||||
\(14\) | 0.398164 | − | 0.114384i | 0.106414 | − | 0.0305703i | ||||
\(15\) | 11.8678 | − | 0.621967i | 3.06426 | − | 0.160591i | ||||
\(16\) | 1.50572 | + | 3.70578i | 0.376430 | + | 0.926445i | ||||
\(17\) | 4.20193 | − | 0.441640i | 1.01912 | − | 0.107113i | 0.419793 | − | 0.907620i | \(-0.362103\pi\) |
0.599324 | + | 0.800507i | \(0.295436\pi\) | |||||||
\(18\) | 10.8144 | − | 1.33324i | 2.54897 | − | 0.314247i | ||||
\(19\) | −0.0562474 | + | 1.07326i | −0.0129040 | + | 0.246224i | 0.984560 | + | 0.175048i | \(0.0560082\pi\) |
−0.997464 | + | 0.0711750i | \(0.977325\pi\) | |||||||
\(20\) | 4.94917 | − | 5.31781i | 1.10667 | − | 1.18910i | ||||
\(21\) | −0.677705 | − | 0.677705i | −0.147887 | − | 0.147887i | ||||
\(22\) | −4.30167 | + | 1.86966i | −0.917119 | + | 0.398614i | ||||
\(23\) | 4.49732 | + | 7.78959i | 0.937757 | + | 1.62424i | 0.769643 | + | 0.638475i | \(0.220434\pi\) |
0.168114 | + | 0.985768i | \(0.446232\pi\) | |||||||
\(24\) | 5.81318 | − | 7.20038i | 1.18661 | − | 1.46977i | ||||
\(25\) | −7.79234 | − | 2.53188i | −1.55847 | − | 0.506377i | ||||
\(26\) | −4.66029 | − | 2.06922i | −0.913959 | − | 0.405807i | ||||
\(27\) | −9.04795 | − | 12.4534i | −1.74128 | − | 2.39667i | ||||
\(28\) | −0.585784 | − | 0.00964841i | −0.110703 | − | 0.00182338i | ||||
\(29\) | 3.02969 | − | 3.36481i | 0.562600 | − | 0.624830i | −0.392986 | − | 0.919545i | \(-0.628558\pi\) |
0.955585 | + | 0.294714i | \(0.0952245\pi\) | |||||||
\(30\) | −16.3095 | − | 4.05788i | −2.97768 | − | 0.740865i | ||||
\(31\) | 0.897275 | + | 5.66517i | 0.161155 | + | 1.01750i | 0.927162 | + | 0.374662i | \(0.122241\pi\) |
−0.766006 | + | 0.642833i | \(0.777759\pi\) | |||||||
\(32\) | −0.506887 | − | 5.63410i | −0.0896057 | − | 0.995977i | ||||
\(33\) | 8.60477 | + | 6.61142i | 1.49790 | + | 1.15090i | ||||
\(34\) | −5.86593 | − | 1.13723i | −1.00600 | − | 0.195033i | ||||
\(35\) | 0.432770 | + | 0.972017i | 0.0731515 | + | 0.164301i | ||||
\(36\) | −15.1781 | − | 2.66092i | −2.52969 | − | 0.443487i | ||||
\(37\) | −0.384616 | + | 0.0201569i | −0.0632305 | + | 0.00331377i | −0.0839250 | − | 0.996472i | \(-0.526746\pi\) |
0.0206945 | + | 0.999786i | \(0.493412\pi\) | |||||||
\(38\) | 0.519136 | − | 1.42850i | 0.0842150 | − | 0.231733i | ||||
\(39\) | 1.03432 | + | 11.7513i | 0.165624 | + | 1.88171i | ||||
\(40\) | −8.88961 | + | 5.14992i | −1.40557 | + | 0.814274i | ||||
\(41\) | −0.192638 | + | 0.296637i | −0.0300850 | + | 0.0463269i | −0.853393 | − | 0.521268i | \(-0.825459\pi\) |
0.823308 | + | 0.567595i | \(0.192126\pi\) | |||||||
\(42\) | 0.636915 | + | 1.19644i | 0.0982781 | + | 0.184615i | ||||
\(43\) | 3.31701 | − | 5.74524i | 0.505840 | − | 0.876140i | −0.494137 | − | 0.869384i | \(-0.664516\pi\) |
0.999977 | − | 0.00675644i | \(-0.00215066\pi\) | |||||||
\(44\) | 6.59035 | − | 0.753173i | 0.993533 | − | 0.113545i | ||||
\(45\) | 7.24329 | + | 27.0323i | 1.07977 | + | 4.02974i | ||||
\(46\) | −2.86755 | − | 12.3929i | −0.422798 | − | 1.82724i | ||||
\(47\) | −2.00601 | − | 3.93702i | −0.292607 | − | 0.574273i | 0.697169 | − | 0.716907i | \(-0.254443\pi\) |
−0.989776 | + | 0.142634i | \(0.954443\pi\) | |||||||
\(48\) | −10.8354 | + | 7.33965i | −1.56396 | + | 1.05939i | ||||
\(49\) | −2.81225 | + | 6.31643i | −0.401751 | + | 0.902347i | ||||
\(50\) | 9.49490 | + | 6.64144i | 1.34278 | + | 0.939242i | ||||
\(51\) | 4.27175 | + | 13.1471i | 0.598165 | + | 1.84096i | ||||
\(52\) | 5.44942 | + | 4.72269i | 0.755699 | + | 0.654920i | ||||
\(53\) | 3.60663 | + | 2.62037i | 0.495408 | + | 0.359935i | 0.807260 | − | 0.590195i | \(-0.200949\pi\) |
−0.311852 | + | 0.950131i | \(0.600949\pi\) | |||||||
\(54\) | 7.09755 | + | 20.5799i | 0.965855 | + | 2.80057i | ||||
\(55\) | −6.28789 | − | 10.2757i | −0.847860 | − | 1.38557i | ||||
\(56\) | 0.788361 | + | 0.254868i | 0.105349 | + | 0.0340582i | ||||
\(57\) | −3.47305 | + | 0.550078i | −0.460017 | + | 0.0728596i | ||||
\(58\) | −5.48706 | + | 3.30063i | −0.720486 | + | 0.433394i | ||||
\(59\) | −2.77181 | + | 1.80003i | −0.360858 | + | 0.234344i | −0.712315 | − | 0.701860i | \(-0.752353\pi\) |
0.351456 | + | 0.936204i | \(0.385687\pi\) | |||||||
\(60\) | 20.3854 | + | 12.2215i | 2.63174 | + | 1.57779i | ||||
\(61\) | −0.0173975 | − | 0.165526i | −0.00222752 | − | 0.0211934i | 0.993352 | − | 0.115119i | \(-0.0367250\pi\) |
−0.995579 | + | 0.0939258i | \(0.970058\pi\) | |||||||
\(62\) | 1.12497 | − | 8.03324i | 0.142871 | − | 1.02022i | ||||
\(63\) | 1.22924 | − | 1.89286i | 0.154870 | − | 0.238479i | ||||
\(64\) | −1.64019 | + | 7.83006i | −0.205024 | + | 0.978757i | ||||
\(65\) | 3.60322 | − | 12.5909i | 0.446925 | − | 1.56171i | ||||
\(66\) | −8.90974 | − | 12.4949i | −1.09671 | − | 1.53802i | ||||
\(67\) | 1.23337 | − | 4.60300i | 0.150680 | − | 0.562345i | −0.848757 | − | 0.528784i | \(-0.822648\pi\) |
0.999437 | − | 0.0335617i | \(-0.0106850\pi\) | |||||||
\(68\) | 7.46493 | + | 3.95976i | 0.905256 | + | 0.480191i | ||||
\(69\) | −21.8699 | + | 19.6918i | −2.63283 | + | 2.37061i | ||||
\(70\) | −0.184115 | − | 1.49342i | −0.0220060 | − | 0.178498i | ||||
\(71\) | −3.64342 | + | 4.49925i | −0.432394 | + | 0.533962i | −0.946044 | − | 0.324037i | \(-0.894960\pi\) |
0.513650 | + | 0.858000i | \(0.328293\pi\) | |||||||
\(72\) | 19.4318 | + | 9.86492i | 2.29006 | + | 1.16259i | ||||
\(73\) | 2.06059 | − | 4.04414i | 0.241174 | − | 0.473330i | −0.738414 | − | 0.674348i | \(-0.764425\pi\) |
0.979588 | + | 0.201018i | \(0.0644248\pi\) | |||||||
\(74\) | 0.528561 | + | 0.131509i | 0.0614440 | + | 0.0152876i | ||||
\(75\) | 2.80211 | − | 26.6603i | 0.323560 | − | 3.07847i | ||||
\(76\) | −1.29190 | + | 1.71792i | −0.148191 | + | 0.197059i | ||||
\(77\) | −0.276529 | + | 0.931359i | −0.0315134 | + | 0.106138i | ||||
\(78\) | 3.45201 | − | 16.3220i | 0.390863 | − | 1.84811i | ||||
\(79\) | 3.38642 | − | 4.66101i | 0.381003 | − | 0.524405i | −0.574847 | − | 0.818261i | \(-0.694939\pi\) |
0.955850 | + | 0.293856i | \(0.0949385\pi\) | |||||||
\(80\) | 14.1502 | − | 3.29618i | 1.58204 | − | 0.368524i | ||||
\(81\) | 18.2336 | − | 20.2505i | 2.02596 | − | 2.25005i | ||||
\(82\) | 0.383022 | − | 0.321715i | 0.0422977 | − | 0.0355274i | ||||
\(83\) | −6.55360 | − | 1.03799i | −0.719351 | − | 0.113934i | −0.213982 | − | 0.976838i | \(-0.568643\pi\) |
−0.505369 | + | 0.862904i | \(0.668643\pi\) | |||||||
\(84\) | −0.367601 | − | 1.88126i | −0.0401086 | − | 0.205262i | ||||
\(85\) | 0.803178 | − | 15.3255i | 0.0871169 | − | 1.66229i | ||||
\(86\) | −6.85836 | + | 6.40184i | −0.739556 | + | 0.690328i | ||||
\(87\) | 12.8294 | + | 7.40708i | 1.37546 | + | 0.794123i | ||||
\(88\) | −9.22517 | − | 1.70181i | −0.983407 | − | 0.181413i | ||||
\(89\) | 2.64856 | − | 9.88455i | 0.280747 | − | 1.04776i | −0.671145 | − | 0.741326i | \(-0.734197\pi\) |
0.951892 | − | 0.306435i | \(-0.0991361\pi\) | |||||||
\(90\) | 1.36180 | − | 39.5546i | 0.143546 | − | 4.16942i | ||||
\(91\) | −0.949045 | + | 0.463497i | −0.0994869 | + | 0.0485877i | ||||
\(92\) | −1.23721 | + | 17.9467i | −0.128988 | + | 1.87107i | ||||
\(93\) | −17.5200 | + | 6.72530i | −1.81674 | + | 0.697381i | ||||
\(94\) | 1.08813 | + | 6.15340i | 0.112232 | + | 0.634675i | ||||
\(95\) | 3.81842 | + | 0.811631i | 0.391762 | + | 0.0832715i | ||||
\(96\) | 17.6861 | − | 5.45480i | 1.80508 | − | 0.556728i | ||||
\(97\) | −1.90299 | + | 4.95745i | −0.193219 | + | 0.503353i | −0.995626 | − | 0.0934238i | \(-0.970219\pi\) |
0.802407 | + | 0.596777i | \(0.203552\pi\) | |||||||
\(98\) | 6.41141 | − | 7.38281i | 0.647650 | − | 0.745777i | ||||
\(99\) | −11.0160 | + | 23.0576i | −1.10715 | + | 2.31738i | ||||
\(100\) | −10.1014 | − | 12.9030i | −1.01014 | − | 1.29030i | ||||
\(101\) | 8.16064 | + | 0.857718i | 0.812014 | + | 0.0853461i | 0.501428 | − | 0.865199i | \(-0.332808\pi\) |
0.310586 | + | 0.950545i | \(0.399475\pi\) | |||||||
\(102\) | −0.350803 | − | 19.5465i | −0.0347347 | − | 1.93539i | ||||
\(103\) | 1.88728 | + | 5.80847i | 0.185960 | + | 0.572325i | 0.999964 | − | 0.00853433i | \(-0.00271659\pi\) |
−0.814004 | + | 0.580859i | \(0.802717\pi\) | |||||||
\(104\) | −5.42143 | − | 8.63760i | −0.531615 | − | 0.846986i | ||||
\(105\) | −2.81638 | + | 2.04622i | −0.274850 | + | 0.199690i | ||||
\(106\) | −3.79669 | − | 5.03322i | −0.368767 | − | 0.488870i | ||||
\(107\) | 0.503364 | + | 2.36814i | 0.0486620 | + | 0.228937i | 0.995758 | − | 0.0920147i | \(-0.0293307\pi\) |
−0.947096 | + | 0.320951i | \(0.895997\pi\) | |||||||
\(108\) | −1.10471 | − | 30.7668i | −0.106300 | − | 2.96053i | ||||
\(109\) | −13.2693 | + | 13.2693i | −1.27097 | + | 1.27097i | −0.325387 | + | 0.945581i | \(0.605495\pi\) |
−0.945581 | + | 0.325387i | \(0.894505\pi\) | |||||||
\(110\) | 4.26324 | + | 16.4948i | 0.406484 | + | 1.57272i | ||||
\(111\) | −0.326143 | − | 1.21718i | −0.0309562 | − | 0.115530i | ||||
\(112\) | −0.961143 | − | 0.670185i | −0.0908194 | − | 0.0633265i | ||||
\(113\) | −7.94952 | − | 8.82884i | −0.747828 | − | 0.830547i | 0.242375 | − | 0.970183i | \(-0.422074\pi\) |
−0.990203 | + | 0.139636i | \(0.955407\pi\) | |||||||
\(114\) | 4.92481 | + | 0.689666i | 0.461250 | + | 0.0645932i | ||||
\(115\) | 30.5009 | − | 11.7082i | 2.84423 | − | 1.09180i | ||||
\(116\) | 8.78446 | − | 2.19939i | 0.815617 | − | 0.204209i | ||||
\(117\) | −26.5620 | + | 8.13606i | −2.45565 | + | 0.752179i | ||||
\(118\) | 4.49228 | − | 1.29053i | 0.413548 | − | 0.118803i | ||||
\(119\) | −0.961840 | + | 0.778883i | −0.0881717 | + | 0.0714000i | ||||
\(120\) | −22.5286 | − | 24.9464i | −2.05657 | − | 2.27728i | ||||
\(121\) | 1.73468 | − | 10.8624i | 0.157698 | − | 0.987487i | ||||
\(122\) | −0.0447987 | + | 0.231076i | −0.00405588 | + | 0.0209206i | ||||
\(123\) | −1.08038 | − | 0.414718i | −0.0974143 | − | 0.0373938i | ||||
\(124\) | −4.83787 | + | 10.4015i | −0.434453 | + | 0.934086i | ||||
\(125\) | −5.26587 | + | 10.3349i | −0.470994 | + | 0.924378i | ||||
\(126\) | −2.44409 | + | 2.05289i | −0.217737 | + | 0.182886i | ||||
\(127\) | −1.74137 | − | 0.775307i | −0.154521 | − | 0.0687974i | 0.328019 | − | 0.944671i | \(-0.393619\pi\) |
−0.482540 | + | 0.875874i | \(0.660286\pi\) | |||||||
\(128\) | 5.45089 | − | 9.91402i | 0.481795 | − | 0.876284i | ||||
\(129\) | 20.6430 | + | 6.70732i | 1.81752 | + | 0.590547i | ||||
\(130\) | −10.0715 | + | 15.5433i | −0.883325 | + | 1.36323i | ||||
\(131\) | 9.39329i | 0.820695i | 0.911929 | + | 0.410348i | \(0.134593\pi\) | ||||
−0.911929 | + | 0.410348i | \(0.865407\pi\) | |||||||
\(132\) | 6.89348 | + | 20.5789i | 0.600001 | + | 1.79116i | ||||
\(133\) | −0.157412 | − | 0.272646i | −0.0136494 | − | 0.0236414i | ||||
\(134\) | −3.56845 | + | 5.71697i | −0.308267 | + | 0.493871i | ||||
\(135\) | −49.8184 | + | 25.3838i | −4.28769 | + | 2.18469i | ||||
\(136\) | −8.46260 | − | 8.43766i | −0.725662 | − | 0.723524i | ||||
\(137\) | −5.12375 | + | 6.32731i | −0.437752 | + | 0.540578i | −0.947504 | − | 0.319743i | \(-0.896404\pi\) |
0.509753 | + | 0.860321i | \(0.329737\pi\) | |||||||
\(138\) | 37.7107 | − | 17.6074i | 3.21015 | − | 1.49884i | ||||
\(139\) | 0.632447 | − | 2.97543i | 0.0536435 | − | 0.252373i | −0.943152 | − | 0.332361i | \(-0.892155\pi\) |
0.996796 | + | 0.0799880i | \(0.0254882\pi\) | |||||||
\(140\) | −0.367463 | + | 2.09604i | −0.0310563 | + | 0.177148i | ||||
\(141\) | 11.2351 | − | 9.09804i | 0.946170 | − | 0.766193i | ||||
\(142\) | 6.78551 | − | 4.58174i | 0.569427 | − | 0.384491i | ||||
\(143\) | 9.97258 | − | 6.59906i | 0.833949 | − | 0.551841i | ||||
\(144\) | −22.2116 | − | 21.3652i | −1.85097 | − | 1.78043i | ||||
\(145\) | −10.3499 | − | 12.7811i | −0.859514 | − | 1.06141i | ||||
\(146\) | −4.45666 | + | 4.61955i | −0.368836 | + | 0.382317i | ||||
\(147\) | −22.1276 | − | 4.70338i | −1.82506 | − | 0.387928i | ||||
\(148\) | −0.660655 | − | 0.396078i | −0.0543055 | − | 0.0325574i | ||||
\(149\) | −6.65048 | − | 5.38545i | −0.544828 | − | 0.441193i | 0.316976 | − | 0.948433i | \(-0.397332\pi\) |
−0.861805 | + | 0.507240i | \(0.830666\pi\) | |||||||
\(150\) | −14.7959 | + | 34.9046i | −1.20808 | + | 2.84995i | ||||
\(151\) | 2.51565 | + | 4.93724i | 0.204721 | + | 0.401787i | 0.970424 | − | 0.241407i | \(-0.0776089\pi\) |
−0.765703 | + | 0.643194i | \(0.777609\pi\) | |||||||
\(152\) | 2.45662 | − | 1.79038i | 0.199258 | − | 0.145219i | ||||
\(153\) | −28.1920 | + | 16.2767i | −2.27919 | + | 1.31589i | ||||
\(154\) | 0.758515 | − | 1.14562i | 0.0611229 | − | 0.0923169i | ||||
\(155\) | 20.8339 | 1.67342 | ||||||||
\(156\) | −11.4072 | + | 20.6525i | −0.913305 | + | 1.65352i | ||||
\(157\) | 4.94717 | − | 15.2258i | 0.394827 | − | 1.21515i | −0.534269 | − | 0.845315i | \(-0.679413\pi\) |
0.929096 | − | 0.369839i | \(-0.120587\pi\) | |||||||
\(158\) | −6.50467 | + | 4.90664i | −0.517484 | + | 0.390351i | ||||
\(159\) | −5.93262 | + | 13.3249i | −0.470487 | + | 1.05673i | ||||
\(160\) | −20.5006 | − | 1.38288i | −1.62072 | − | 0.109326i | ||||
\(161\) | −2.34764 | − | 1.19618i | −0.185020 | − | 0.0942723i | ||||
\(162\) | −33.0228 | + | 19.8642i | −2.59451 | + | 1.56068i | ||||
\(163\) | 1.26229 | − | 3.28837i | 0.0988699 | − | 0.257565i | −0.875220 | − | 0.483724i | \(-0.839284\pi\) |
0.974090 | + | 0.226160i | \(0.0726171\pi\) | |||||||
\(164\) | −0.650891 | + | 0.277043i | −0.0508261 | + | 0.0216334i | ||||
\(165\) | 28.6081 | − | 27.1133i | 2.22714 | − | 2.11077i | ||||
\(166\) | 8.43605 | + | 4.10940i | 0.654765 | + | 0.318951i | ||||
\(167\) | −10.8851 | − | 13.4420i | −0.842313 | − | 1.04017i | −0.998623 | − | 0.0524619i | \(-0.983293\pi\) |
0.156310 | − | 0.987708i | \(-0.450040\pi\) | |||||||
\(168\) | −0.279379 | + | 2.69639i | −0.0215546 | + | 0.208031i | ||||
\(169\) | 12.6171 | + | 3.13174i | 0.970549 | + | 0.240903i | ||||
\(170\) | −7.41294 | + | 20.3981i | −0.568547 | + | 1.56446i | ||||
\(171\) | −2.96752 | − | 7.73064i | −0.226932 | − | 0.591177i | ||||
\(172\) | 11.9195 | − | 5.82806i | 0.908855 | − | 0.444386i | ||||
\(173\) | 4.77901 | − | 4.30304i | 0.363341 | − | 0.327154i | −0.467158 | − | 0.884174i | \(-0.654722\pi\) |
0.830499 | + | 0.557020i | \(0.188055\pi\) | |||||||
\(174\) | −14.2957 | − | 15.3151i | −1.08375 | − | 1.16104i | ||||
\(175\) | 2.31831 | − | 0.621189i | 0.175248 | − | 0.0469575i | ||||
\(176\) | 11.7757 | + | 6.11016i | 0.887623 | + | 0.460570i | ||||
\(177\) | −7.64621 | − | 7.64621i | −0.574724 | − | 0.574724i | ||||
\(178\) | −7.66295 | + | 12.2767i | −0.574362 | + | 0.920179i | ||||
\(179\) | −4.22512 | + | 0.898078i | −0.315801 | + | 0.0671255i | −0.363085 | − | 0.931756i | \(-0.618277\pi\) |
0.0472845 | + | 0.998881i | \(0.484943\pi\) | |||||||
\(180\) | −18.1706 | + | 52.9403i | −1.35435 | + | 3.94594i | ||||
\(181\) | −6.93986 | − | 9.55190i | −0.515836 | − | 0.709987i | 0.469054 | − | 0.883170i | \(-0.344595\pi\) |
−0.984890 | + | 0.173182i | \(0.944595\pi\) | |||||||
\(182\) | 1.47504 | − | 0.235161i | 0.109337 | − | 0.0174313i | ||||
\(183\) | 0.517902 | − | 0.168277i | 0.0382844 | − | 0.0124394i | ||||
\(184\) | 9.08207 | − | 23.7644i | 0.669539 | − | 1.75193i | ||||
\(185\) | −0.146229 | + | 1.39128i | −0.0107510 | + | 0.102289i | ||||
\(186\) | 26.4742 | − | 1.86435i | 1.94119 | − | 0.136701i | ||||
\(187\) | 9.65240 | − | 10.1585i | 0.705853 | − | 0.742862i | ||||
\(188\) | 1.06836 | − | 8.77242i | 0.0779181 | − | 0.639795i | ||||
\(189\) | 4.20969 | + | 1.61595i | 0.306210 | + | 0.117543i | ||||
\(190\) | −4.82983 | − | 2.67411i | −0.350393 | − | 0.194001i | ||||
\(191\) | 0.904953 | − | 4.25747i | 0.0654801 | − | 0.308060i | −0.933204 | − | 0.359348i | \(-0.882999\pi\) |
0.998684 | + | 0.0512878i | \(0.0163326\pi\) | |||||||
\(192\) | −26.1745 | + | 0.0772551i | −1.88898 | + | 0.00557541i | ||||
\(193\) | −6.81253 | − | 17.7472i | −0.490377 | − | 1.27747i | −0.926060 | − | 0.377375i | \(-0.876827\pi\) |
0.435684 | − | 0.900100i | \(-0.356507\pi\) | |||||||
\(194\) | 4.62051 | − | 5.91999i | 0.331733 | − | 0.425030i | ||||
\(195\) | 42.7460 | + | 2.96654i | 3.06110 | + | 0.212438i | ||||
\(196\) | −11.7199 | + | 7.33946i | −0.837137 | + | 0.524247i | ||||
\(197\) | 13.4402 | + | 3.60130i | 0.957578 | + | 0.256582i | 0.703575 | − | 0.710621i | \(-0.251586\pi\) |
0.254003 | + | 0.967203i | \(0.418253\pi\) | |||||||
\(198\) | 24.4189 | − | 26.6407i | 1.73538 | − | 1.89327i | ||||
\(199\) | −9.97398 | + | 17.2754i | −0.707037 | + | 1.22462i | 0.258915 | + | 0.965900i | \(0.416635\pi\) |
−0.965952 | + | 0.258723i | \(0.916698\pi\) | |||||||
\(200\) | 8.33684 | + | 21.6228i | 0.589504 | + | 1.52896i | ||||
\(201\) | 15.5701 | + | 0.815993i | 1.09823 | + | 0.0575557i | ||||
\(202\) | −10.6842 | − | 4.52897i | −0.751737 | − | 0.318657i | ||||
\(203\) | −0.207485 | + | 1.31001i | −0.0145626 | + | 0.0919445i | ||||
\(204\) | −7.59449 | + | 26.5838i | −0.531721 | + | 1.86124i | ||||
\(205\) | 0.954739 | + | 0.859651i | 0.0666819 | + | 0.0600406i | ||||
\(206\) | −0.154987 | − | 8.63575i | −0.0107985 | − | 0.601681i | ||||
\(207\) | −56.0665 | − | 40.7347i | −3.89689 | − | 2.83126i | ||||
\(208\) | 3.76746 | + | 13.9214i | 0.261226 | + | 0.965278i | ||||
\(209\) | 2.16812 | + | 2.82929i | 0.149972 | + | 0.195706i | ||||
\(210\) | 4.65420 | − | 1.60513i | 0.321170 | − | 0.110764i | ||||
\(211\) | −23.8885 | − | 2.51078i | −1.64455 | − | 0.172849i | −0.763480 | − | 0.645832i | \(-0.776511\pi\) |
−0.881072 | + | 0.472982i | \(0.843178\pi\) | |||||||
\(212\) | 3.05772 | + | 8.37536i | 0.210005 | + | 0.575222i | ||||
\(213\) | −16.8775 | − | 8.59951i | −1.15643 | − | 0.589229i | ||||
\(214\) | 0.296733 | − | 3.41099i | 0.0202842 | − | 0.233171i | ||||
\(215\) | −18.7265 | − | 15.1644i | −1.27714 | − | 1.03421i | ||||
\(216\) | −11.2066 | + | 42.0719i | −0.762513 | + | 2.86263i | ||||
\(217\) | −1.12427 | − | 1.24863i | −0.0763204 | − | 0.0847623i | ||||
\(218\) | 23.4261 | − | 12.4706i | 1.58661 | − | 0.844618i | ||||
\(219\) | 14.3443 | + | 3.84353i | 0.969295 | + | 0.259722i | ||||
\(220\) | 1.04267 | − | 24.0711i | 0.0702968 | − | 1.62288i | ||||
\(221\) | 15.2315 | + | 0.257868i | 1.02458 | + | 0.0173461i | ||||
\(222\) | −0.0613176 | + | 1.78103i | −0.00411537 | + | 0.119535i | ||||
\(223\) | −7.03756 | − | 4.57024i | −0.471270 | − | 0.306046i | 0.287066 | − | 0.957911i | \(-0.407320\pi\) |
−0.758335 | + | 0.651865i | \(0.773987\pi\) | |||||||
\(224\) | 1.02340 | + | 1.30328i | 0.0683790 | + | 0.0870788i | ||||
\(225\) | 62.7824 | − | 6.59869i | 4.18549 | − | 0.439913i | ||||
\(226\) | 7.10806 | + | 15.2237i | 0.472821 | + | 1.01267i | ||||
\(227\) | 0.262263 | + | 0.403850i | 0.0174070 | + | 0.0268045i | 0.847267 | − | 0.531167i | \(-0.178246\pi\) |
−0.829860 | + | 0.557972i | \(0.811580\pi\) | |||||||
\(228\) | −6.37670 | − | 2.96587i | −0.422307 | − | 0.196420i | ||||
\(229\) | 2.91617 | + | 18.4120i | 0.192706 | + | 1.21670i | 0.874453 | + | 0.485110i | \(0.161221\pi\) |
−0.681747 | + | 0.731588i | \(0.738779\pi\) | |||||||
\(230\) | −46.0895 | + | 3.24568i | −3.03905 | + | 0.214014i | ||||
\(231\) | −3.16876 | − | 0.251427i | −0.208489 | − | 0.0165426i | ||||
\(232\) | −12.7900 | − | 0.651369i | −0.839704 | − | 0.0427645i | ||||
\(233\) | 9.72611 | − | 13.3868i | 0.637179 | − | 0.877001i | −0.361283 | − | 0.932456i | \(-0.617661\pi\) |
0.998461 | + | 0.0554553i | \(0.0176610\pi\) | |||||||
\(234\) | 39.2870 | − | 0.0399526i | 2.56827 | − | 0.00261178i | ||||
\(235\) | −15.2641 | + | 4.95960i | −0.995719 | + | 0.323529i | ||||
\(236\) | −6.60910 | − | 0.108858i | −0.430216 | − | 0.00708606i | ||||
\(237\) | 17.2204 | + | 7.66700i | 1.11858 | + | 0.498025i | ||||
\(238\) | 1.62254 | − | 0.656476i | 0.105173 | − | 0.0425530i | ||||
\(239\) | 19.7238 | − | 10.0498i | 1.27582 | − | 0.650065i | 0.320956 | − | 0.947094i | \(-0.395996\pi\) |
0.954868 | + | 0.297030i | \(0.0959960\pi\) | |||||||
\(240\) | 20.1745 | + | 43.0431i | 1.30226 | + | 2.77842i | ||||
\(241\) | −14.7414 | + | 3.94993i | −0.949574 | + | 0.254438i | −0.700182 | − | 0.713965i | \(-0.746898\pi\) |
−0.249393 | + | 0.968402i | \(0.580231\pi\) | |||||||
\(242\) | −6.83046 | + | 13.9766i | −0.439079 | + | 0.898449i | ||||
\(243\) | 37.2185 | + | 21.4881i | 2.38757 | + | 1.37846i | ||||
\(244\) | 0.155986 | − | 0.294065i | 0.00998601 | − | 0.0188256i | ||||
\(245\) | 21.0625 | + | 13.6782i | 1.34563 | + | 0.873866i | ||||
\(246\) | 1.29014 | + | 1.00695i | 0.0822564 | + | 0.0642006i | ||||
\(247\) | −0.670886 | + | 3.81650i | −0.0426875 | + | 0.242838i | ||||
\(248\) | 10.8377 | − | 12.0722i | 0.688193 | − | 0.766588i | ||||
\(249\) | −1.13619 | − | 21.6797i | −0.0720029 | − | 1.37390i | ||||
\(250\) | 11.3891 | − | 11.8054i | 0.720309 | − | 0.746636i | ||||
\(251\) | 6.47483 | − | 2.88278i | 0.408687 | − | 0.181959i | −0.192087 | − | 0.981378i | \(-0.561526\pi\) |
0.600775 | + | 0.799419i | \(0.294859\pi\) | |||||||
\(252\) | 4.15339 | − | 1.76783i | 0.261639 | − | 0.111363i | ||||
\(253\) | 28.1144 | + | 9.97607i | 1.76754 | + | 0.627190i | ||||
\(254\) | 2.03536 | + | 1.76755i | 0.127710 | + | 0.110906i | ||||
\(255\) | 49.5931 | − | 7.85477i | 3.10564 | − | 0.491885i | ||||
\(256\) | −11.4656 | + | 11.1597i | −0.716600 | + | 0.697484i | ||||
\(257\) | −9.51378 | − | 8.56624i | −0.593453 | − | 0.534348i | 0.316750 | − | 0.948509i | \(-0.397408\pi\) |
−0.910203 | + | 0.414161i | \(0.864075\pi\) | |||||||
\(258\) | −25.1533 | − | 17.5941i | −1.56598 | − | 1.09536i | ||||
\(259\) | 0.0912739 | − | 0.0663144i | 0.00567149 | − | 0.00412058i | ||||
\(260\) | 20.0393 | − | 16.8666i | 1.24278 | − | 1.04602i | ||||
\(261\) | −10.7803 | + | 33.1784i | −0.667286 | + | 2.05369i | ||||
\(262\) | 3.87765 | − | 12.7056i | 0.239562 | − | 0.784953i | ||||
\(263\) | 0.532334 | − | 0.307343i | 0.0328252 | − | 0.0189516i | −0.483498 | − | 0.875346i | \(-0.660634\pi\) |
0.516323 | + | 0.856394i | \(0.327300\pi\) | |||||||
\(264\) | −0.829085 | − | 30.6812i | −0.0510266 | − | 1.88830i | ||||
\(265\) | 11.4500 | − | 11.4500i | 0.703369 | − | 0.703369i | ||||
\(266\) | 0.100368 | + | 0.433768i | 0.00615396 | + | 0.0265960i | ||||
\(267\) | 33.4355 | + | 1.75228i | 2.04622 | + | 0.107238i | ||||
\(268\) | 7.18679 | − | 6.25980i | 0.439003 | − | 0.382378i | ||||
\(269\) | −0.699467 | − | 6.65498i | −0.0426473 | − | 0.405762i | −0.994932 | − | 0.100550i | \(-0.967940\pi\) |
0.952285 | − | 0.305211i | \(-0.0987270\pi\) | |||||||
\(270\) | 77.8642 | − | 13.7691i | 4.73867 | − | 0.837958i | ||||
\(271\) | 1.40217 | + | 26.7549i | 0.0851755 | + | 1.62525i | 0.623023 | + | 0.782204i | \(0.285904\pi\) |
−0.537847 | + | 0.843042i | \(0.680762\pi\) | |||||||
\(272\) | 7.96355 | + | 14.9064i | 0.482861 | + | 0.903835i | ||||
\(273\) | −2.12893 | − | 2.72196i | −0.128849 | − | 0.164740i | ||||
\(274\) | 9.54248 | − | 6.44332i | 0.576483 | − | 0.389255i | ||||
\(275\) | −25.1124 | + | 10.3831i | −1.51433 | + | 0.626123i | ||||
\(276\) | −58.2769 | + | 8.24875i | −3.50785 | + | 0.496517i | ||||
\(277\) | −1.92540 | − | 4.32451i | −0.115686 | − | 0.259835i | 0.846417 | − | 0.532520i | \(-0.178755\pi\) |
−0.962103 | + | 0.272685i | \(0.912088\pi\) | |||||||
\(278\) | −2.08375 | + | 3.76355i | −0.124975 | + | 0.225723i | ||||
\(279\) | −24.0693 | − | 37.0635i | −1.44099 | − | 2.21893i | ||||
\(280\) | 1.36231 | − | 2.68346i | 0.0814135 | − | 0.160368i | ||||
\(281\) | −31.1173 | − | 4.92850i | −1.85630 | − | 0.294010i | −0.874660 | − | 0.484737i | \(-0.838915\pi\) |
−0.981643 | + | 0.190728i | \(0.938915\pi\) | |||||||
\(282\) | −18.9527 | + | 7.66823i | −1.12862 | + | 0.456636i | ||||
\(283\) | 1.26157 | − | 0.268155i | 0.0749925 | − | 0.0159402i | −0.170263 | − | 0.985399i | \(-0.554462\pi\) |
0.245255 | + | 0.969459i | \(0.421128\pi\) | |||||||
\(284\) | −11.0696 | + | 3.39624i | −0.656861 | + | 0.201529i | ||||
\(285\) | 12.7723i | 0.756566i | ||||||||
\(286\) | −16.2133 | + | 4.80925i | −0.958713 | + | 0.284377i | ||||
\(287\) | − | 0.103610i | − | 0.00611588i | ||||||
\(288\) | 21.2241 | + | 38.0682i | 1.25064 | + | 2.24319i | ||||
\(289\) | 0.832620 | − | 0.176979i | 0.0489777 | − | 0.0104105i | ||||
\(290\) | 8.72336 | + | 21.5605i | 0.512254 | + | 1.26608i | ||||
\(291\) | −17.1600 | − | 2.71787i | −1.00593 | − | 0.159324i | ||||
\(292\) | 7.93518 | − | 4.40876i | 0.464371 | − | 0.258003i | ||||
\(293\) | 0.800443 | + | 1.23257i | 0.0467624 | + | 0.0720077i | 0.861279 | − | 0.508133i | \(-0.169664\pi\) |
−0.814516 | + | 0.580141i | \(0.802998\pi\) | |||||||
\(294\) | 27.9887 | + | 15.4964i | 1.63234 | + | 0.903770i | ||||
\(295\) | 4.88273 | + | 10.9668i | 0.284283 | + | 0.638511i | ||||
\(296\) | 0.730112 | + | 0.808469i | 0.0424369 | + | 0.0469913i | ||||
\(297\) | −49.6355 | − | 11.9500i | −2.88015 | − | 0.693411i | ||||
\(298\) | 6.77241 | + | 10.0299i | 0.392315 | + | 0.581015i | ||||
\(299\) | 12.6873 | + | 29.8459i | 0.733728 | + | 1.72603i | ||||
\(300\) | 34.4222 | − | 41.1048i | 1.98737 | − | 2.37319i | ||||
\(301\) | 0.101705 | + | 1.94065i | 0.00586220 | + | 0.111857i | ||||
\(302\) | −1.36458 | − | 7.71671i | −0.0785226 | − | 0.444047i | ||||
\(303\) | 2.80630 | + | 26.7002i | 0.161218 | + | 1.53388i | ||||
\(304\) | −4.06197 | + | 1.40760i | −0.232970 | + | 0.0807311i | ||||
\(305\) | −0.603718 | − | 0.0316395i | −0.0345688 | − | 0.00181167i | ||||
\(306\) | 44.8524 | − | 10.3782i | 2.56404 | − | 0.593284i | ||||
\(307\) | 7.65794 | − | 7.65794i | 0.437062 | − | 0.437062i | −0.453960 | − | 0.891022i | \(-0.649989\pi\) |
0.891022 | + | 0.453960i | \(0.149989\pi\) | |||||||
\(308\) | −1.49891 | + | 1.23647i | −0.0854083 | + | 0.0704545i | ||||
\(309\) | −17.3051 | + | 9.99113i | −0.984455 | + | 0.568376i | ||||
\(310\) | −28.1804 | − | 8.60046i | −1.60054 | − | 0.488473i | ||||
\(311\) | −2.96887 | + | 9.13725i | −0.168349 | + | 0.518126i | −0.999267 | − | 0.0382686i | \(-0.987816\pi\) |
0.830918 | + | 0.556395i | \(0.187816\pi\) | |||||||
\(312\) | 23.9552 | − | 23.2261i | 1.35620 | − | 1.31492i | ||||
\(313\) | −1.59840 | + | 1.16131i | −0.0903470 | + | 0.0656409i | −0.632042 | − | 0.774934i | \(-0.717783\pi\) |
0.541695 | + | 0.840575i | \(0.317783\pi\) | |||||||
\(314\) | −12.9770 | + | 18.5526i | −0.732337 | + | 1.04698i | ||||
\(315\) | −6.09227 | − | 5.48550i | −0.343261 | − | 0.309073i | ||||
\(316\) | 10.8239 | − | 3.95163i | 0.608891 | − | 0.222297i | ||||
\(317\) | −12.5192 | + | 1.98284i | −0.703146 | + | 0.111367i | −0.497762 | − | 0.867314i | \(-0.665845\pi\) |
−0.205385 | + | 0.978681i | \(0.565845\pi\) | |||||||
\(318\) | 13.5252 | − | 15.5745i | 0.758458 | − | 0.873373i | ||||
\(319\) | 0.402703 | − | 15.0116i | 0.0225471 | − | 0.840490i | ||||
\(320\) | 27.1587 | + | 10.3334i | 1.51822 | + | 0.577654i | ||||
\(321\) | −7.23640 | + | 3.22185i | −0.403897 | + | 0.179826i | ||||
\(322\) | 2.68167 | + | 2.58711i | 0.149444 | + | 0.144174i | ||||
\(323\) | 0.237649 | + | 4.53461i | 0.0132231 | + | 0.252313i | ||||
\(324\) | 52.8675 | − | 13.2366i | 2.93708 | − | 0.735367i | ||||
\(325\) | −26.7803 | − | 12.4707i | −1.48550 | − | 0.691752i | ||||
\(326\) | −3.06487 | + | 3.92683i | −0.169747 | + | 0.217487i | ||||
\(327\) | −51.4925 | − | 33.4396i | −2.84754 | − | 1.84921i | ||||
\(328\) | 0.994776 | − | 0.106040i | 0.0549273 | − | 0.00585506i | ||||
\(329\) | 1.12094 | + | 0.647177i | 0.0617996 | + | 0.0356800i | ||||
\(330\) | −49.8886 | + | 24.8643i | −2.74628 | + | 1.36874i | ||||
\(331\) | −13.0296 | + | 3.49128i | −0.716172 | + | 0.191898i | −0.598463 | − | 0.801150i | \(-0.704222\pi\) |
−0.117709 | + | 0.993048i | \(0.537555\pi\) | |||||||
\(332\) | −9.71439 | − | 9.04096i | −0.533146 | − | 0.496187i | ||||
\(333\) | 2.64403 | − | 1.34720i | 0.144892 | − | 0.0738260i | ||||
\(334\) | 9.17442 | + | 22.6754i | 0.502002 | + | 1.24074i | ||||
\(335\) | −15.8126 | − | 7.04024i | −0.863937 | − | 0.384649i | ||||
\(336\) | 1.49099 | − | 3.53186i | 0.0813402 | − | 0.192679i | ||||
\(337\) | −30.8204 | + | 10.0142i | −1.67890 | + | 0.545507i | −0.984697 | − | 0.174276i | \(-0.944242\pi\) |
−0.694200 | + | 0.719783i | \(0.744242\pi\) | |||||||
\(338\) | −15.7734 | − | 9.44455i | −0.857960 | − | 0.513716i | ||||
\(339\) | 22.8475 | − | 31.4469i | 1.24090 | − | 1.70796i | ||||
\(340\) | 18.4475 | − | 24.5308i | 1.00045 | − | 1.33037i | ||||
\(341\) | 14.4576 | + | 12.3640i | 0.782926 | + | 0.669548i | ||||
\(342\) | 0.822636 | + | 11.6817i | 0.0444831 | + | 0.631672i | ||||
\(343\) | −0.637612 | − | 4.02572i | −0.0344278 | − | 0.217369i | ||||
\(344\) | −18.5285 | + | 2.96266i | −0.998990 | + | 0.159736i | ||||
\(345\) | 58.2183 | + | 89.6484i | 3.13437 | + | 4.82651i | ||||
\(346\) | −8.24053 | + | 3.84756i | −0.443014 | + | 0.206846i | ||||
\(347\) | −25.1231 | + | 2.64054i | −1.34868 | + | 0.141752i | −0.751169 | − | 0.660110i | \(-0.770510\pi\) |
−0.597510 | + | 0.801862i | \(0.703843\pi\) | |||||||
\(348\) | 13.0144 | + | 26.6170i | 0.697645 | + | 1.42682i | ||||
\(349\) | 9.82698 | + | 6.38171i | 0.526026 | + | 0.341605i | 0.780177 | − | 0.625559i | \(-0.215129\pi\) |
−0.254151 | + | 0.967165i | \(0.581796\pi\) | |||||||
\(350\) | −3.39223 | − | 0.116789i | −0.181322 | − | 0.00624261i | ||||
\(351\) | −26.9331 | − | 48.5284i | −1.43758 | − | 2.59026i | ||||
\(352\) | −13.4057 | − | 13.1258i | −0.714525 | − | 0.699610i | ||||
\(353\) | 3.20122 | + | 0.857764i | 0.170384 | + | 0.0456542i | 0.343002 | − | 0.939335i | \(-0.388556\pi\) |
−0.172619 | + | 0.984989i | \(0.555223\pi\) | |||||||
\(354\) | 7.18599 | + | 13.4989i | 0.381931 | + | 0.717457i | ||||
\(355\) | 14.0710 | + | 15.6275i | 0.746812 | + | 0.829419i | ||||
\(356\) | 15.4330 | − | 13.4424i | 0.817949 | − | 0.712447i | ||||
\(357\) | −3.14697 | − | 2.54836i | −0.166555 | − | 0.134874i | ||||
\(358\) | 6.08573 | + | 0.529416i | 0.321641 | + | 0.0279805i | ||||
\(359\) | −27.2568 | − | 13.8880i | −1.43856 | − | 0.732982i | −0.451339 | − | 0.892353i | \(-0.649053\pi\) |
−0.987219 | + | 0.159371i | \(0.949053\pi\) | |||||||
\(360\) | 46.4322 | − | 64.1072i | 2.44719 | − | 3.37875i | ||||
\(361\) | 17.7472 | + | 1.86530i | 0.934062 | + | 0.0981739i | ||||
\(362\) | 5.44389 | + | 15.7850i | 0.286124 | + | 0.829640i | ||||
\(363\) | 35.9431 | − | 1.83759i | 1.88652 | − | 0.0964483i | ||||
\(364\) | −2.09224 | − | 0.290827i | −0.109663 | − | 0.0152435i | ||||
\(365\) | −13.3377 | − | 9.69038i | −0.698126 | − | 0.507218i | ||||
\(366\) | −0.769993 | + | 0.0138192i | −0.0402482 | + | 0.000722339i | ||||
\(367\) | 19.8556 | + | 17.8781i | 1.03646 | + | 0.933229i | 0.997818 | − | 0.0660247i | \(-0.0210316\pi\) |
0.0386374 | + | 0.999253i | \(0.487698\pi\) | |||||||
\(368\) | −22.0948 | + | 28.3950i | −1.15177 | + | 1.48019i | ||||
\(369\) | 0.426313 | − | 2.69163i | 0.0221930 | − | 0.140121i | ||||
\(370\) | 0.772129 | − | 1.82151i | 0.0401411 | − | 0.0946959i | ||||
\(371\) | −1.30411 | − | 0.0683455i | −0.0677060 | − | 0.00354832i | ||||
\(372\) | −36.5793 | − | 8.40709i | −1.89655 | − | 0.435887i | ||||
\(373\) | −1.44524 | + | 2.50322i | −0.0748316 | + | 0.129612i | −0.901013 | − | 0.433792i | \(-0.857175\pi\) |
0.826181 | + | 0.563404i | \(0.190509\pi\) | |||||||
\(374\) | −17.2496 | + | 9.75597i | −0.891954 | + | 0.504469i | ||||
\(375\) | −36.6570 | − | 9.82222i | −1.89296 | − | 0.507217i | ||||
\(376\) | −5.06644 | + | 11.4247i | −0.261282 | + | 0.589186i | ||||
\(377\) | 12.3152 | − | 10.7168i | 0.634264 | − | 0.551942i | ||||
\(378\) | −5.02703 | − | 3.92357i | −0.258563 | − | 0.201807i | ||||
\(379\) | 4.07128 | + | 10.6060i | 0.209127 | + | 0.544796i | 0.997521 | − | 0.0703761i | \(-0.0224200\pi\) |
−0.788393 | + | 0.615172i | \(0.789087\pi\) | |||||||
\(380\) | 5.42904 | + | 5.61087i | 0.278504 | + | 0.287832i | ||||
\(381\) | 1.29667 | − | 6.10034i | 0.0664303 | − | 0.312530i | ||||
\(382\) | −2.98159 | + | 5.38518i | −0.152551 | + | 0.275530i | ||||
\(383\) | −18.6212 | − | 7.14800i | −0.951497 | − | 0.365246i | −0.167404 | − | 0.985888i | \(-0.553538\pi\) |
−0.784093 | + | 0.620643i | \(0.786872\pi\) | |||||||
\(384\) | 35.4360 | + | 10.7006i | 1.80834 | + | 0.546063i | ||||
\(385\) | 3.18417 | + | 1.52127i | 0.162280 | + | 0.0775311i | ||||
\(386\) | 1.88853 | + | 26.8176i | 0.0961235 | + | 1.36498i | ||||
\(387\) | −5.34286 | + | 50.8339i | −0.271593 | + | 2.58403i | ||||
\(388\) | −8.69364 | + | 6.10011i | −0.441353 | + | 0.309686i | ||||
\(389\) | 19.2265 | − | 6.24708i | 0.974824 | − | 0.316740i | 0.222062 | − | 0.975032i | \(-0.428721\pi\) |
0.752762 | + | 0.658293i | \(0.228721\pi\) | |||||||
\(390\) | −56.5946 | − | 21.6586i | −2.86578 | − | 1.09673i | ||||
\(391\) | 22.3376 | + | 30.7451i | 1.12966 | + | 1.55485i | ||||
\(392\) | 18.8824 | − | 5.08941i | 0.953707 | − | 0.257054i | ||||
\(393\) | −30.0616 | + | 6.38978i | −1.51640 | + | 0.322322i | ||||
\(394\) | −16.6929 | − | 10.4195i | −0.840977 | − | 0.524926i | ||||
\(395\) | −14.7974 | − | 14.7974i | −0.744538 | − | 0.744538i | ||||
\(396\) | −44.0272 | + | 25.9544i | −2.21245 | + | 1.30426i | ||||
\(397\) | 32.0721 | − | 8.59368i | 1.60965 | − | 0.431305i | 0.661712 | − | 0.749758i | \(-0.269830\pi\) |
0.947938 | + | 0.318454i | \(0.103164\pi\) | |||||||
\(398\) | 20.6225 | − | 19.2498i | 1.03371 | − | 0.964904i | ||||
\(399\) | 0.765475 | − | 0.689237i | 0.0383217 | − | 0.0345050i | ||||
\(400\) | −2.35048 | − | 32.6890i | −0.117524 | − | 1.63445i | ||||
\(401\) | 9.74696 | + | 25.3917i | 0.486740 | + | 1.26800i | 0.928655 | + | 0.370944i | \(0.120966\pi\) |
−0.441915 | + | 0.897057i | \(0.645701\pi\) | |||||||
\(402\) | −20.7236 | − | 7.53122i | −1.03360 | − | 0.375623i | ||||
\(403\) | 0.732596 | + | 20.6677i | 0.0364932 | + | 1.02953i | ||||
\(404\) | 12.5821 | + | 10.5365i | 0.625981 | + | 0.524212i | ||||
\(405\) | −62.2889 | − | 76.9204i | −3.09516 | − | 3.82221i | ||||
\(406\) | 0.821434 | − | 1.68629i | 0.0407671 | − | 0.0836893i | ||||
\(407\) | −0.927139 | + | 0.878696i | −0.0459566 | + | 0.0435553i | ||||
\(408\) | 21.2466 | − | 32.8228i | 1.05186 | − | 1.62497i | ||||
\(409\) | −10.3477 | + | 26.9566i | −0.511660 | + | 1.33292i | 0.397931 | + | 0.917415i | \(0.369728\pi\) |
−0.909591 | + | 0.415505i | \(0.863605\pi\) | |||||||
\(410\) | −0.936529 | − | 1.55691i | −0.0462519 | − | 0.0768903i | ||||
\(411\) | −23.7349 | − | 12.0935i | −1.17075 | − | 0.596529i | ||||
\(412\) | −3.35529 | + | 11.7449i | −0.165303 | + | 0.578629i | ||||
\(413\) | 0.393778 | − | 0.884439i | 0.0193765 | − | 0.0435204i | ||||
\(414\) | 59.0211 | + | 78.2436i | 2.90073 | + | 3.84546i | ||||
\(415\) | −7.44766 | + | 22.9215i | −0.365591 | + | 1.12517i | ||||
\(416\) | 0.650972 | − | 20.3857i | 0.0319165 | − | 0.999491i | ||||
\(417\) | 9.95256 | 0.487379 | ||||||||
\(418\) | −1.76468 | − | 4.72199i | −0.0863135 | − | 0.230960i | ||||
\(419\) | 17.8198 | − | 10.2882i | 0.870552 | − | 0.502613i | 0.00302027 | − | 0.999995i | \(-0.499039\pi\) |
0.867532 | + | 0.497382i | \(0.165705\pi\) | |||||||
\(420\) | −6.95798 | + | 0.249832i | −0.339515 | + | 0.0121906i | ||||
\(421\) | 12.2382 | + | 24.0189i | 0.596454 | + | 1.17061i | 0.970025 | + | 0.243006i | \(0.0781334\pi\) |
−0.373570 | + | 0.927602i | \(0.621867\pi\) | |||||||
\(422\) | 31.2756 | + | 13.2576i | 1.52247 | + | 0.645368i | ||||
\(423\) | 26.4577 | + | 21.4250i | 1.28642 | + | 1.04172i | ||||
\(424\) | −0.678498 | − | 12.5910i | −0.0329508 | − | 0.611471i | ||||
\(425\) | −33.8610 | − | 7.19738i | −1.64250 | − | 0.349124i | ||||
\(426\) | 19.2789 | + | 18.5991i | 0.934065 | + | 0.901129i | ||||
\(427\) | 0.0306824 | + | 0.0378897i | 0.00148483 | + | 0.00183361i | ||||
\(428\) | −1.80946 | + | 4.49129i | −0.0874636 | + | 0.217095i | ||||
\(429\) | 27.9030 | + | 27.4265i | 1.34717 | + | 1.32416i | ||||
\(430\) | 19.0699 | + | 28.2423i | 0.919631 | + | 1.36196i | ||||
\(431\) | −3.01452 | + | 2.44111i | −0.145204 | + | 0.117584i | −0.699170 | − | 0.714955i | \(-0.746447\pi\) |
0.553966 | + | 0.832539i | \(0.313114\pi\) | |||||||
\(432\) | 32.5260 | − | 52.2811i | 1.56491 | − | 2.51538i | ||||
\(433\) | 3.02087 | − | 14.2121i | 0.145174 | − | 0.682990i | −0.844012 | − | 0.536324i | \(-0.819813\pi\) |
0.989186 | − | 0.146666i | \(-0.0468541\pi\) | |||||||
\(434\) | 1.00526 | + | 2.15303i | 0.0482543 | + | 0.103349i | ||||
\(435\) | 33.8631 | − | 41.8174i | 1.62361 | − | 2.00499i | ||||
\(436\) | −36.8346 | + | 7.19754i | −1.76406 | + | 0.344700i | ||||
\(437\) | −8.61325 | + | 4.38867i | −0.412028 | + | 0.209939i | ||||
\(438\) | −17.8157 | − | 11.1203i | −0.851268 | − | 0.531349i | ||||
\(439\) | −7.45196 | − | 12.9072i | −0.355663 | − | 0.616026i | 0.631568 | − | 0.775320i | \(-0.282411\pi\) |
−0.987231 | + | 0.159294i | \(0.949078\pi\) | |||||||
\(440\) | −11.3472 | + | 32.1287i | −0.540955 | + | 1.53168i | ||||
\(441\) | − | 53.2725i | − | 2.53679i | ||||||
\(442\) | −20.4961 | − | 6.63653i | −0.974898 | − | 0.315668i | ||||
\(443\) | −19.2648 | − | 6.25953i | −0.915300 | − | 0.297399i | −0.186763 | − | 0.982405i | \(-0.559800\pi\) |
−0.728537 | + | 0.685006i | \(0.759800\pi\) | |||||||
\(444\) | 0.818166 | − | 2.38374i | 0.0388284 | − | 0.113127i | ||||
\(445\) | −33.9563 | − | 15.1183i | −1.60969 | − | 0.716678i | ||||
\(446\) | 7.63251 | + | 9.08699i | 0.361410 | + | 0.430281i | ||||
\(447\) | 12.7112 | − | 24.9471i | 0.601219 | − | 1.17996i | ||||
\(448\) | −0.846272 | − | 2.18531i | −0.0399826 | − | 0.103246i | ||||
\(449\) | −7.63846 | − | 2.93213i | −0.360481 | − | 0.138376i | 0.171385 | − | 0.985204i | \(-0.445176\pi\) |
−0.531866 | + | 0.846828i | \(0.678509\pi\) | |||||||
\(450\) | −87.6449 | − | 16.9917i | −4.13162 | − | 0.800996i | ||||
\(451\) | 0.152375 | + | 1.16315i | 0.00717504 | + | 0.0547705i | ||||
\(452\) | −3.33000 | − | 23.5262i | −0.156630 | − | 1.10658i | ||||
\(453\) | −14.0895 | + | 11.4094i | −0.661982 | + | 0.536062i | ||||
\(454\) | −0.188030 | − | 0.654522i | −0.00882467 | − | 0.0307182i | ||||
\(455\) | 1.12356 | + | 3.66811i | 0.0526732 | + | 0.171963i | ||||
\(456\) | 7.40093 | + | 6.64407i | 0.346580 | + | 0.311137i | ||||
\(457\) | −16.4042 | + | 6.29697i | −0.767354 | + | 0.294560i | −0.710382 | − | 0.703816i | \(-0.751478\pi\) |
−0.0569721 | + | 0.998376i | \(0.518145\pi\) | |||||||
\(458\) | 3.65619 | − | 26.1083i | 0.170842 | − | 1.21996i | ||||
\(459\) | −43.5188 | − | 48.3325i | −2.03128 | − | 2.25597i | ||||
\(460\) | 63.6816 | + | 14.6361i | 2.96917 | + | 0.682411i | ||||
\(461\) | −1.14735 | − | 4.28196i | −0.0534373 | − | 0.199431i | 0.934046 | − | 0.357152i | \(-0.116252\pi\) |
−0.987484 | + | 0.157721i | \(0.949585\pi\) | |||||||
\(462\) | 4.18234 | + | 1.64818i | 0.194580 | + | 0.0766804i | ||||
\(463\) | 3.47242 | − | 3.47242i | 0.161377 | − | 0.161377i | −0.621799 | − | 0.783177i | \(-0.713598\pi\) |
0.783177 | + | 0.621799i | \(0.213598\pi\) | |||||||
\(464\) | 17.0311 | + | 6.16090i | 0.790650 | + | 0.286013i | ||||
\(465\) | 14.1723 | + | 66.6752i | 0.657223 | + | 3.09199i | ||||
\(466\) | −18.6820 | + | 14.0923i | −0.865426 | + | 0.652813i | ||||
\(467\) | −5.07882 | + | 3.68998i | −0.235020 | + | 0.170752i | −0.699062 | − | 0.715061i | \(-0.746399\pi\) |
0.464042 | + | 0.885813i | \(0.346399\pi\) | |||||||
\(468\) | −53.1569 | − | 16.1640i | −2.45718 | − | 0.747183i | ||||
\(469\) | 0.431365 | + | 1.32761i | 0.0199186 | + | 0.0613032i | ||||
\(470\) | 22.6939 | − | 0.407291i | 1.04679 | − | 0.0187869i | ||||
\(471\) | 52.0929 | + | 5.47518i | 2.40031 | + | 0.252283i | ||||
\(472\) | 8.89468 | + | 2.87555i | 0.409411 | + | 0.132358i | ||||
\(473\) | −3.99581 | − | 21.6367i | −0.183728 | − | 0.994857i | ||||
\(474\) | −20.1276 | − | 17.4793i | −0.924493 | − | 0.802851i | ||||
\(475\) | 3.15568 | − | 8.22082i | 0.144792 | − | 0.377197i | ||||
\(476\) | −2.46568 | + | 0.218164i | −0.113014 | + | 0.00999952i | ||||
\(477\) | −33.5977 | − | 7.14142i | −1.53833 | − | 0.326983i | ||||
\(478\) | −30.8274 | + | 5.45135i | −1.41001 | + | 0.249339i | ||||
\(479\) | −10.1845 | + | 3.90947i | −0.465342 | + | 0.178628i | −0.579731 | − | 0.814808i | \(-0.696842\pi\) |
0.114389 | + | 0.993436i | \(0.463509\pi\) | |||||||
\(480\) | −9.51987 | − | 66.5493i | −0.434520 | − | 3.03754i | ||||
\(481\) | −1.38532 | − | 0.0961404i | −0.0631653 | − | 0.00438363i | ||||
\(482\) | 21.5701 | + | 0.742620i | 0.982489 | + | 0.0338254i | ||||
\(483\) | 2.23119 | − | 8.32690i | 0.101523 | − | 0.378887i | ||||
\(484\) | 15.0087 | − | 16.0853i | 0.682215 | − | 0.731152i | ||||
\(485\) | 16.7038 | + | 9.64393i | 0.758480 | + | 0.437908i | ||||
\(486\) | −41.4720 | − | 44.4295i | −1.88121 | − | 2.01536i | ||||
\(487\) | 0.616275 | − | 11.7592i | 0.0279261 | − | 0.532862i | −0.948469 | − | 0.316870i | \(-0.897368\pi\) |
0.976395 | − | 0.215992i | \(-0.0692985\pi\) | |||||||
\(488\) | −0.332384 | + | 0.333367i | −0.0150463 | + | 0.0150908i | ||||
\(489\) | 11.3825 | + | 1.80281i | 0.514735 | + | 0.0815260i | ||||
\(490\) | −22.8431 | − | 27.1962i | −1.03195 | − | 1.22860i | ||||
\(491\) | −12.4865 | + | 13.8677i | −0.563508 | + | 0.625839i | −0.955806 | − | 0.293999i | \(-0.905014\pi\) |
0.392297 | + | 0.919838i | \(0.371680\pi\) | |||||||
\(492\) | −1.32940 | − | 1.89460i | −0.0599338 | − | 0.0854153i | ||||
\(493\) | 11.2445 | − | 15.4767i | 0.506427 | − | 0.697037i | ||||
\(494\) | 2.48295 | − | 4.88533i | 0.111713 | − | 0.219802i | ||||
\(495\) | 76.4607 | + | 52.6221i | 3.43665 | + | 2.36519i | ||||
\(496\) | −19.6428 | + | 11.8553i | −0.881989 | + | 0.532318i | ||||
\(497\) | 0.177271 | − | 1.68662i | 0.00795170 | − | 0.0756553i | ||||
\(498\) | −7.41279 | + | 29.7935i | −0.332175 | + | 1.33508i | ||||
\(499\) | −5.30050 | + | 10.4028i | −0.237283 | + | 0.465694i | −0.978685 | − | 0.205367i | \(-0.934161\pi\) |
0.741402 | + | 0.671061i | \(0.234161\pi\) | |||||||
\(500\) | −20.2785 | + | 11.2667i | −0.906882 | + | 0.503860i | ||||
\(501\) | 35.6140 | − | 43.9797i | 1.59112 | − | 1.96487i | ||||
\(502\) | −9.94804 | + | 1.22643i | −0.444003 | + | 0.0547384i | ||||
\(503\) | −25.8316 | + | 23.2589i | −1.15177 | + | 1.03706i | −0.152967 | + | 0.988231i | \(0.548883\pi\) |
−0.998807 | + | 0.0488307i | \(0.984451\pi\) | |||||||
\(504\) | −6.34775 | + | 0.676648i | −0.282751 | + | 0.0301403i | ||||
\(505\) | 7.71407 | − | 28.7893i | 0.343272 | − | 1.28111i | ||||
\(506\) | −33.9099 | − | 25.0998i | −1.50748 | − | 1.11582i | ||||
\(507\) | −1.43977 | + | 42.5093i | −0.0639423 | + | 1.88790i | ||||
\(508\) | −2.02341 | − | 3.23105i | −0.0897741 | − | 0.143355i | ||||
\(509\) | 4.31780 | − | 6.64883i | 0.191383 | − | 0.294704i | −0.729933 | − | 0.683519i | \(-0.760449\pi\) |
0.921316 | + | 0.388815i | \(0.127115\pi\) | |||||||
\(510\) | −70.3232 | − | 9.84801i | −3.11396 | − | 0.436077i | ||||
\(511\) | 0.138978 | + | 1.32229i | 0.00614802 | + | 0.0584945i | ||||
\(512\) | 20.1155 | − | 10.3618i | 0.888988 | − | 0.457931i | ||||
\(513\) | 13.8747 | − | 9.01037i | 0.612585 | − | 0.397817i | ||||
\(514\) | 9.33231 | + | 15.5143i | 0.411631 | + | 0.684306i | ||||
\(515\) | 21.9105 | − | 3.47028i | 0.965492 | − | 0.152919i | ||||
\(516\) | 26.7599 | + | 34.1818i | 1.17804 | + | 1.50477i | ||||
\(517\) | −13.5358 | − | 5.61685i | −0.595303 | − | 0.247029i | ||||
\(518\) | −0.150834 | + | 0.0520195i | −0.00662728 | + | 0.00228560i | ||||
\(519\) | 17.0220 | + | 12.3672i | 0.747184 | + | 0.542861i | ||||
\(520\) | −34.0683 | + | 14.5416i | −1.49399 | + | 0.637693i | ||||
\(521\) | −9.84394 | − | 30.2965i | −0.431271 | − | 1.32732i | −0.896860 | − | 0.442314i | \(-0.854158\pi\) |
0.465589 | − | 0.885001i | \(-0.345842\pi\) | |||||||
\(522\) | 28.2781 | − | 40.4277i | 1.23770 | − | 1.76947i | ||||
\(523\) | −12.4367 | + | 27.9332i | −0.543817 | + | 1.22143i | 0.407496 | + | 0.913207i | \(0.366402\pi\) |
−0.951313 | + | 0.308226i | \(0.900265\pi\) | |||||||
\(524\) | −10.4900 | + | 15.5851i | −0.458257 | + | 0.680838i | ||||
\(525\) | 3.56504 | + | 6.99678i | 0.155591 | + | 0.305364i | ||||
\(526\) | −0.846922 | + | 0.195966i | −0.0369276 | + | 0.00854454i | ||||
\(527\) | 6.27225 | + | 23.4084i | 0.273224 | + | 1.01968i | ||||
\(528\) | −11.5441 | + | 41.8423i | −0.502392 | + | 1.82095i | ||||
\(529\) | −28.9518 | + | 50.1460i | −1.25878 | + | 2.18026i | ||||
\(530\) | −20.2142 | + | 10.7609i | −0.878050 | + | 0.467422i | ||||
\(531\) | 13.8689 | − | 21.3562i | 0.601859 | − | 0.926782i | ||||
\(532\) | 0.0433041 | − | 0.628158i | 0.00187747 | − | 0.0272341i | ||||
\(533\) | −0.819221 | + | 0.977351i | −0.0354844 | + | 0.0423338i | ||||
\(534\) | −44.5022 | − | 16.1727i | −1.92580 | − | 0.699860i | ||||
\(535\) | 8.78183 | − | 0.460236i | 0.379672 | − | 0.0198977i | ||||
\(536\) | −12.3051 | + | 5.50037i | −0.531500 | + | 0.237580i | ||||
\(537\) | −5.74828 | − | 12.9108i | −0.248057 | − | 0.557144i | ||||
\(538\) | −1.80113 | + | 9.29043i | −0.0776524 | + | 0.400539i | ||||
\(539\) | 6.49891 | + | 21.9916i | 0.279928 | + | 0.947245i | ||||
\(540\) | −111.005 | − | 13.5188i | −4.77689 | − | 0.581758i | ||||
\(541\) | −4.69633 | − | 29.6514i | −0.201911 | − | 1.27481i | −0.855435 | − | 0.517909i | \(-0.826710\pi\) |
0.653525 | − | 0.756905i | \(-0.273290\pi\) | |||||||
\(542\) | 9.14812 | − | 36.7681i | 0.392945 | − | 1.57933i | ||||
\(543\) | 25.8483 | − | 28.7075i | 1.10926 | − | 1.23196i | ||||
\(544\) | −4.61814 | − | 23.4502i | −0.198001 | − | 1.00542i | ||||
\(545\) | 40.0644 | + | 55.1440i | 1.71617 | + | 2.36211i | ||||
\(546\) | 1.75598 | + | 4.56062i | 0.0751491 | + | 0.195177i | ||||
\(547\) | 37.0001 | + | 12.0220i | 1.58201 | + | 0.514026i | 0.962573 | − | 0.271022i | \(-0.0873618\pi\) |
0.619435 | + | 0.785048i | \(0.287362\pi\) | |||||||
\(548\) | −15.5672 | + | 4.77614i | −0.665000 | + | 0.204027i | ||||
\(549\) | 0.641186 | + | 1.11057i | 0.0273652 | + | 0.0473978i | ||||
\(550\) | 38.2538 | − | 3.67772i | 1.63115 | − | 0.156818i | ||||
\(551\) | 3.44092 | + | 3.44092i | 0.146588 | + | 0.146588i | ||||
\(552\) | 82.2318 | + | 12.8999i | 3.50002 | + | 0.549055i | ||||
\(553\) | −0.0883261 | + | 1.68536i | −0.00375601 | + | 0.0716689i | ||||
\(554\) | 0.819130 | + | 6.64426i | 0.0348015 | + | 0.282287i | ||||
\(555\) | −4.55202 | + | 0.478437i | −0.193223 | + | 0.0203085i | ||||
\(556\) | 4.37216 | − | 4.23047i | 0.185421 | − | 0.179412i | ||||
\(557\) | 33.1317 | − | 1.73636i | 1.40383 | − | 0.0735719i | 0.664690 | − | 0.747119i | \(-0.268563\pi\) |
0.739144 | + | 0.673547i | \(0.235230\pi\) | |||||||
\(558\) | 17.2565 | + | 60.0690i | 0.730526 | + | 2.54292i | ||||
\(559\) | 14.3850 | − | 19.1104i | 0.608420 | − | 0.808283i | ||||
\(560\) | −2.95045 | + | 3.06734i | −0.124679 | + | 0.129619i | ||||
\(561\) | 39.0765 | + | 23.9805i | 1.64981 | + | 1.01246i | ||||
\(562\) | 40.0554 | + | 19.5120i | 1.68964 | + | 0.823062i | ||||
\(563\) | −24.7317 | + | 11.0113i | −1.04232 | + | 0.464070i | −0.855216 | − | 0.518271i | \(-0.826576\pi\) |
−0.187101 | + | 0.982341i | \(0.559909\pi\) | |||||||
\(564\) | 28.8013 | − | 2.54835i | 1.21276 | − | 0.107305i | ||||
\(565\) | −36.1909 | + | 23.5026i | −1.52256 | + | 0.988763i | ||||
\(566\) | −1.81712 | − | 0.158077i | −0.0763794 | − | 0.00664448i | ||||
\(567\) | −1.24871 | + | 7.88402i | −0.0524407 | + | 0.331098i | ||||
\(568\) | 16.3750 | − | 0.0241658i | 0.687081 | − | 0.00101397i | ||||
\(569\) | −8.37596 | − | 39.4058i | −0.351139 | − | 1.65198i | −0.699512 | − | 0.714621i | \(-0.746599\pi\) |
0.348373 | − | 0.937356i | \(-0.386734\pi\) | |||||||
\(570\) | 5.27254 | − | 17.2761i | 0.220842 | − | 0.723616i | ||||
\(571\) | −30.2022 | −1.26392 | −0.631960 | − | 0.775001i | \(-0.717749\pi\) | ||||
−0.631960 | + | 0.775001i | \(0.717749\pi\) | |||||||
\(572\) | 23.9158 | + | 0.187922i | 0.999969 | + | 0.00785741i | ||||
\(573\) | 14.2409 | 0.594921 | ||||||||
\(574\) | −0.0427712 | + | 0.140145i | −0.00178523 | + | 0.00584953i | ||||
\(575\) | −15.3223 | − | 72.0858i | −0.638985 | − | 3.00619i | ||||
\(576\) | −12.9933 | − | 60.2535i | −0.541386 | − | 2.51056i | ||||
\(577\) | −2.74424 | + | 17.3264i | −0.114244 | + | 0.721309i | 0.862365 | + | 0.506287i | \(0.168982\pi\) |
−0.976609 | + | 0.215022i | \(0.931018\pi\) | |||||||
\(578\) | −1.19928 | − | 0.104329i | −0.0498835 | − | 0.00433951i | ||||
\(579\) | 52.1627 | − | 33.8749i | 2.16781 | − | 1.40779i | ||||
\(580\) | −2.89900 | − | 32.7644i | −0.120374 | − | 1.36047i | ||||
\(581\) | 1.77565 | − | 0.790568i | 0.0736662 | − | 0.0327983i | ||||
\(582\) | 22.0890 | + | 10.7601i | 0.915617 | + | 0.446019i | ||||
\(583\) | 14.7408 | − | 1.15064i | 0.610501 | − | 0.0476545i | ||||
\(584\) | −12.5533 | + | 2.68765i | −0.519459 | + | 0.111216i | ||||
\(585\) | 14.0957 | + | 99.9153i | 0.582784 | + | 4.13099i | ||||
\(586\) | −0.573877 | − | 1.99764i | −0.0237066 | − | 0.0825216i | ||||
\(587\) | 18.3863 | − | 0.963587i | 0.758885 | − | 0.0397715i | 0.331032 | − | 0.943620i | \(-0.392603\pi\) |
0.427853 | + | 0.903848i | \(0.359270\pi\) | |||||||
\(588\) | −31.4611 | − | 32.5149i | −1.29743 | − | 1.34089i | ||||
\(589\) | −6.13069 | + | 0.644362i | −0.252611 | + | 0.0265505i | ||||
\(590\) | −2.07728 | − | 16.8496i | −0.0855202 | − | 0.693685i | ||||
\(591\) | −2.38261 | + | 45.4629i | −0.0980075 | + | 1.87010i | ||||
\(592\) | −0.653821 | − | 1.39495i | −0.0268719 | − | 0.0573321i | ||||
\(593\) | −1.78540 | − | 1.78540i | −0.0733176 | − | 0.0733176i | 0.669497 | − | 0.742815i | \(-0.266510\pi\) |
−0.742815 | + | 0.669497i | \(0.766510\pi\) | |||||||
\(594\) | 62.2051 | + | 36.6540i | 2.55230 | + | 1.50393i | ||||
\(595\) | 2.24775 | + | 3.89321i | 0.0921487 | + | 0.159606i | ||||
\(596\) | −5.02008 | − | 16.3624i | −0.205631 | − | 0.670228i | ||||
\(597\) | −62.0718 | − | 20.1683i | −2.54043 | − | 0.825435i | ||||
\(598\) | −4.84046 | − | 45.6077i | −0.197941 | − | 1.86504i | ||||
\(599\) | 5.03450 | + | 6.92940i | 0.205704 | + | 0.283128i | 0.899387 | − | 0.437153i | \(-0.144013\pi\) |
−0.693683 | + | 0.720280i | \(0.744013\pi\) | |||||||
\(600\) | −63.5288 | + | 41.3895i | −2.59355 | + | 1.68972i | ||||
\(601\) | 24.3369 | − | 27.0289i | 0.992723 | − | 1.10253i | −0.00200646 | − | 0.999998i | \(-0.500639\pi\) |
0.994730 | − | 0.102533i | \(-0.0326947\pi\) | |||||||
\(602\) | 0.663553 | − | 2.66696i | 0.0270444 | − | 0.108697i | ||||
\(603\) | 5.74369 | + | 36.2642i | 0.233901 | + | 1.47679i | ||||
\(604\) | −1.33978 | + | 11.0011i | −0.0545149 | + | 0.447628i | ||||
\(605\) | −37.9836 | − | 12.3954i | −1.54425 | − | 0.503943i | ||||
\(606\) | 7.22625 | − | 37.2737i | 0.293546 | − | 1.51414i | ||||
\(607\) | −15.5829 | − | 34.9997i | −0.632489 | − | 1.42059i | −0.890739 | − | 0.454516i | \(-0.849812\pi\) |
0.258250 | − | 0.966078i | \(-0.416854\pi\) | |||||||
\(608\) | 6.07538 | − | 0.227120i | 0.246389 | − | 0.00921092i | ||||
\(609\) | −4.33359 | + | 0.227114i | −0.175606 | + | 0.00920312i | ||||
\(610\) | 0.803541 | + | 0.292017i | 0.0325344 | + | 0.0118234i | ||||
\(611\) | −5.45677 | − | 14.9679i | −0.220757 | − | 0.605537i | ||||
\(612\) | −64.9526 | − | 4.47772i | −2.62555 | − | 0.181001i | ||||
\(613\) | −17.1368 | + | 26.3883i | −0.692148 | + | 1.06581i | 0.301520 | + | 0.953460i | \(0.402506\pi\) |
−0.993668 | + | 0.112355i | \(0.964161\pi\) | |||||||
\(614\) | −13.5196 | + | 7.19702i | −0.545606 | + | 0.290448i | ||||
\(615\) | −2.10170 | + | 3.64025i | −0.0847488 | + | 0.146789i | ||||
\(616\) | 2.53789 | − | 1.05371i | 0.102254 | − | 0.0424553i | ||||
\(617\) | 1.91135 | + | 7.13326i | 0.0769481 | + | 0.287174i | 0.993668 | − | 0.112356i | \(-0.0358398\pi\) |
−0.916720 | + | 0.399531i | \(0.869173\pi\) | |||||||
\(618\) | 27.5318 | − | 6.37048i | 1.10749 | − | 0.256258i | ||||
\(619\) | −15.1541 | − | 29.7416i | −0.609095 | − | 1.19542i | −0.965333 | − | 0.261021i | \(-0.915941\pi\) |
0.356238 | − | 0.934395i | \(-0.384059\pi\) | |||||||
\(620\) | 34.5671 | + | 23.2663i | 1.38825 | + | 0.934399i | ||||
\(621\) | 56.3157 | − | 126.487i | 2.25987 | − | 5.07575i | ||||
\(622\) | 7.78772 | − | 11.1337i | 0.312259 | − | 0.446420i | ||||
\(623\) | 0.926322 | + | 2.85093i | 0.0371123 | + | 0.114220i | ||||
\(624\) | −41.9903 | + | 21.5271i | −1.68096 | + | 0.861775i | ||||
\(625\) | 0.941865 | + | 0.684305i | 0.0376746 | + | 0.0273722i | ||||
\(626\) | 2.64143 | − | 0.910972i | 0.105573 | − | 0.0364098i | ||||
\(627\) | −7.57979 | + | 8.86331i | −0.302708 | + | 0.353966i | ||||
\(628\) | 25.2117 | − | 19.7375i | 1.00606 | − | 0.787614i | ||||
\(629\) | −1.60723 | + | 0.254559i | −0.0640843 | + | 0.0101500i | ||||
\(630\) | 5.97607 | + | 9.93477i | 0.238092 | + | 0.395811i | ||||
\(631\) | 7.88946 | − | 5.12348i | 0.314074 | − | 0.203962i | −0.377969 | − | 0.925818i | \(-0.623377\pi\) |
0.692043 | + | 0.721856i | \(0.256711\pi\) | |||||||
\(632\) | −16.2719 | + | 0.876855i | −0.647261 | + | 0.0348794i | ||||
\(633\) | −8.21483 | − | 78.1589i | −0.326510 | − | 3.10654i | ||||
\(634\) | 17.7522 | + | 2.48601i | 0.705032 | + | 0.0987321i | ||||
\(635\) | −3.77091 | + | 5.80670i | −0.149644 | + | 0.230432i | ||||
\(636\) | −24.7239 | + | 15.4830i | −0.980365 | + | 0.613942i | ||||
\(637\) | −12.8284 | + | 21.3755i | −0.508280 | + | 0.846927i | ||||
\(638\) | −6.74167 | + | 20.1388i | −0.266905 | + | 0.797304i | ||||
\(639\) | 11.5450 | − | 43.0867i | 0.456715 | − | 1.70448i | ||||
\(640\) | −32.4697 | − | 25.1886i | −1.28348 | − | 0.995666i | ||||
\(641\) | 2.78971 | − | 2.51187i | 0.110187 | − | 0.0992127i | −0.612196 | − | 0.790706i | \(-0.709714\pi\) |
0.722383 | + | 0.691493i | \(0.243047\pi\) | |||||||
\(642\) | 11.1181 | − | 1.37069i | 0.438798 | − | 0.0540967i | ||||
\(643\) | −4.94676 | + | 6.10874i | −0.195081 | + | 0.240905i | −0.865295 | − | 0.501263i | \(-0.832869\pi\) |
0.670214 | + | 0.742168i | \(0.266202\pi\) | |||||||
\(644\) | −2.55930 | − | 4.60641i | −0.100851 | − | 0.181518i | ||||
\(645\) | 35.7924 | − | 70.2466i | 1.40933 | − | 2.76596i | ||||
\(646\) | 1.55049 | − | 6.23172i | 0.0610031 | − | 0.245184i | ||||
\(647\) | 2.58981 | − | 24.6404i | 0.101816 | − | 0.968712i | −0.817696 | − | 0.575650i | \(-0.804749\pi\) |
0.919512 | − | 0.393062i | \(-0.128584\pi\) | |||||||
\(648\) | −76.9740 | − | 3.92014i | −3.02382 | − | 0.153998i | ||||
\(649\) | −3.11994 | + | 10.5081i | −0.122468 | + | 0.412477i | ||||
\(650\) | 31.0755 | + | 27.9234i | 1.21888 | + | 1.09524i | ||||
\(651\) | 3.23123 | − | 4.44740i | 0.126642 | − | 0.174307i | ||||
\(652\) | 5.76665 | − | 4.04631i | 0.225839 | − | 0.158466i | ||||
\(653\) | 10.1711 | − | 11.2962i | 0.398027 | − | 0.442054i | −0.510501 | − | 0.859877i | \(-0.670540\pi\) |
0.908528 | + | 0.417823i | \(0.137207\pi\) | |||||||
\(654\) | 55.8456 | + | 66.4878i | 2.18374 | + | 2.59988i | ||||
\(655\) | 33.6988 | + | 5.33737i | 1.31672 | + | 0.208548i | ||||
\(656\) | −1.38933 | − | 0.267223i | −0.0542443 | − | 0.0104333i | ||||
\(657\) | −1.83024 | + | 34.9230i | −0.0714043 | + | 1.36247i | ||||
\(658\) | −1.24905 | − | 1.33812i | −0.0486931 | − | 0.0521655i | ||||
\(659\) | −21.5620 | − | 12.4488i | −0.839935 | − | 0.484937i | 0.0173073 | − | 0.999850i | \(-0.494491\pi\) |
−0.857242 | + | 0.514914i | \(0.827824\pi\) | |||||||
\(660\) | 77.7447 | − | 13.0375i | 3.02621 | − | 0.507484i | ||||
\(661\) | −0.656779 | + | 2.45113i | −0.0255457 | + | 0.0953380i | −0.977522 | − | 0.210835i | \(-0.932382\pi\) |
0.951976 | + | 0.306173i | \(0.0990485\pi\) | |||||||
\(662\) | 19.0654 | + | 0.656388i | 0.740997 | + | 0.0255112i | ||||
\(663\) | 9.53598 | + | 48.9212i | 0.370347 | + | 1.89994i | ||||
\(664\) | 9.40769 | + | 16.2392i | 0.365089 | + | 0.630203i | ||||
\(665\) | −1.06757 | + | 0.409803i | −0.0413987 | + | 0.0158915i | ||||
\(666\) | −4.13251 | + | 0.730769i | −0.160131 | + | 0.0283167i | ||||
\(667\) | 39.8360 | + | 8.46741i | 1.54246 | + | 0.327859i | ||||
\(668\) | −3.04889 | − | 34.4585i | −0.117965 | − | 1.33324i | ||||
\(669\) | 9.83896 | − | 25.6314i | 0.380396 | − | 0.990966i | ||||
\(670\) | 18.4822 | + | 16.0504i | 0.714031 | + | 0.620082i | ||||
\(671\) | −0.400172 | − | 0.380236i | −0.0154485 | − | 0.0146788i | ||||
\(672\) | −3.47474 | + | 4.16178i | −0.134041 | + | 0.160544i | ||||
\(673\) | 45.2266 | + | 4.75350i | 1.74336 | + | 0.183234i | 0.922002 | − | 0.387185i | \(-0.126553\pi\) |
0.821354 | + | 0.570419i | \(0.193219\pi\) | |||||||
\(674\) | 45.8224 | − | 0.822381i | 1.76501 | − | 0.0316769i | ||||
\(675\) | 38.9740 | + | 119.950i | 1.50011 | + | 4.61687i | ||||
\(676\) | 17.4367 | + | 19.2863i | 0.670641 | + | 0.741782i | ||||
\(677\) | −11.2250 | + | 8.15541i | −0.431410 | + | 0.313438i | −0.782213 | − | 0.623012i | \(-0.785909\pi\) |
0.350802 | + | 0.936450i | \(0.385909\pi\) | |||||||
\(678\) | −43.8856 | + | 33.1040i | −1.68542 | + | 1.27135i | ||||
\(679\) | −0.323409 | − | 1.52152i | −0.0124113 | − | 0.0583905i | ||||
\(680\) | −35.0790 | + | 25.5656i | −1.34522 | + | 0.980396i | ||||
\(681\) | −1.11405 | + | 1.11405i | −0.0426904 | + | 0.0426904i | ||||
\(682\) | −14.4517 | − | 22.6921i | −0.553386 | − | 0.868925i | ||||
\(683\) | −1.21914 | − | 4.54990i | −0.0466491 | − | 0.174097i | 0.938671 | − | 0.344814i | \(-0.112058\pi\) |
−0.985320 | + | 0.170717i | \(0.945391\pi\) | |||||||
\(684\) | 3.70960 | − | 16.1405i | 0.141840 | − | 0.617147i | ||||
\(685\) | 19.7881 | + | 21.9769i | 0.756066 | + | 0.839696i | ||||
\(686\) | −0.799414 | + | 5.70850i | −0.0305218 | + | 0.217951i | ||||
\(687\) | −56.9406 | + | 21.8574i | −2.17242 | + | 0.833914i | ||||
\(688\) | 26.2851 | + | 3.64140i | 1.00211 | + | 0.138827i | ||||
\(689\) | 11.7613 | + | 10.9560i | 0.448070 | + | 0.417392i | ||||
\(690\) | −41.7396 | − | 145.294i | −1.58900 | − | 5.53123i | ||||
\(691\) | −32.6723 | + | 26.4575i | −1.24291 | + | 1.00649i | −0.243582 | + | 0.969880i | \(0.578323\pi\) |
−0.999330 | + | 0.0366098i | \(0.988344\pi\) | |||||||
\(692\) | 12.7346 | − | 1.80251i | 0.484098 | − | 0.0685213i | ||||
\(693\) | −0.972314 | − | 7.42215i | −0.0369352 | − | 0.281944i | ||||
\(694\) | 35.0721 | + | 6.79942i | 1.33132 | + | 0.258103i | ||||
\(695\) | −10.3151 | − | 3.95961i | −0.391275 | − | 0.150196i | ||||
\(696\) | −6.61579 | − | 41.3752i | −0.250771 | − | 1.56832i | ||||
\(697\) | −0.678445 | + | 1.33152i | −0.0256979 | + | 0.0504350i | ||||
\(698\) | −10.6577 | − | 12.6887i | −0.403402 | − | 0.480276i | ||||
\(699\) | 49.4584 | + | 22.0203i | 1.87069 | + | 0.832884i | ||||
\(700\) | 4.54020 | + | 1.55832i | 0.171603 | + | 0.0588990i | ||||
\(701\) | −15.0642 | − | 4.89467i | −0.568969 | − | 0.184869i | 0.0103840 | − | 0.999946i | \(-0.496695\pi\) |
−0.579353 | + | 0.815077i | \(0.696695\pi\) | |||||||
\(702\) | 16.3972 | + | 76.7589i | 0.618873 | + | 2.89708i | ||||
\(703\) | − | 0.413928i | − | 0.0156116i | ||||||
\(704\) | 12.7143 | + | 23.2883i | 0.479189 | + | 0.877712i | ||||
\(705\) | −26.2557 | − | 45.4762i | −0.988847 | − | 1.71273i | ||||
\(706\) | −3.97595 | − | 2.48173i | −0.149637 | − | 0.0934011i | ||||
\(707\) | −2.14169 | + | 1.09125i | −0.0805466 | + | 0.0410406i | ||||
\(708\) | −4.14746 | − | 21.2253i | −0.155871 | − | 0.797697i | ||||
\(709\) | −7.72946 | + | 9.54508i | −0.290286 | + | 0.358473i | −0.901337 | − | 0.433118i | \(-0.857413\pi\) |
0.611052 | + | 0.791591i | \(0.290747\pi\) | |||||||
\(710\) | −12.5816 | − | 26.9467i | −0.472179 | − | 1.01129i | ||||
\(711\) | −9.22919 | + | 43.4199i | −0.346122 | + | 1.62837i | ||||
\(712\) | −26.4242 | + | 11.8116i | −0.990290 | + | 0.442658i | ||||
\(713\) | −40.0940 | + | 32.4675i | −1.50153 | + | 1.21592i | ||||
\(714\) | 3.20467 | + | 4.74608i | 0.119932 | + | 0.177617i | ||||
\(715\) | −18.0079 | − | 39.5268i | −0.673457 | − | 1.47822i | ||||
\(716\) | −8.01315 | − | 3.22836i | −0.299466 | − | 0.120649i | ||||
\(717\) | 45.5796 | + | 56.2861i | 1.70220 | + | 2.10204i | ||||
\(718\) | 31.1350 | + | 30.0371i | 1.16195 | + | 1.12098i | ||||
\(719\) | −25.9030 | − | 5.50585i | −0.966018 | − | 0.205334i | −0.302214 | − | 0.953240i | \(-0.597726\pi\) |
−0.663804 | + | 0.747907i | \(0.731059\pi\) | |||||||
\(720\) | −89.2694 | + | 67.5452i | −3.32688 | + | 2.51726i | ||||
\(721\) | −1.39035 | − | 1.12588i | −0.0517793 | − | 0.0419301i | ||||
\(722\) | −23.2352 | − | 9.84928i | −0.864725 | − | 0.366552i | ||||
\(723\) | −22.6689 | − | 44.4902i | −0.843064 | − | 1.65461i | ||||
\(724\) | −0.847321 | − | 23.5984i | −0.0314904 | − | 0.877028i | ||||
\(725\) | −32.1277 | + | 18.5489i | −1.19319 | + | 0.688890i | ||||
\(726\) | −49.3760 | − | 12.3521i | −1.83252 | − | 0.458430i | ||||
\(727\) | −31.9744 | −1.18587 | −0.592933 | − | 0.805252i | \(-0.702030\pi\) | ||||
−0.592933 | + | 0.805252i | \(0.702030\pi\) | |||||||
\(728\) | 2.70996 | + | 1.25708i | 0.100438 | + | 0.0465905i | ||||
\(729\) | −18.1892 | + | 55.9804i | −0.673672 | + | 2.07335i | ||||
\(730\) | 14.0405 | + | 18.6134i | 0.519664 | + | 0.688911i | ||||
\(731\) | 11.4005 | − | 25.6060i | 0.421663 | − | 0.947071i | ||||
\(732\) | 1.04721 | + | 0.299169i | 0.0387061 | + | 0.0110576i | ||||
\(733\) | −16.9827 | − | 8.65312i | −0.627271 | − | 0.319610i | 0.111299 | − | 0.993787i | \(-0.464499\pi\) |
−0.738570 | + | 0.674176i | \(0.764499\pi\) | |||||||
\(734\) | −19.4769 | − | 32.3789i | −0.718906 | − | 1.19513i | ||||
\(735\) | −29.4468 | + | 76.7114i | −1.08616 | + | 2.82954i | ||||
\(736\) | 41.6077 | − | 29.2868i | 1.53368 | − | 1.07953i | ||||
\(737\) | −6.79508 | − | 14.2697i | −0.250300 | − | 0.525630i | ||||
\(738\) | −1.68777 | + | 3.46478i | −0.0621279 | + | 0.127540i | ||||
\(739\) | −2.03550 | − | 2.51364i | −0.0748771 | − | 0.0924656i | 0.738331 | − | 0.674439i | \(-0.235614\pi\) |
−0.813208 | + | 0.581973i | \(0.802281\pi\) | |||||||
\(740\) | −1.79634 | + | 2.14508i | −0.0660347 | + | 0.0788545i | ||||
\(741\) | −12.6704 | + | 0.449121i | −0.465459 | + | 0.0164989i | ||||
\(742\) | 1.73575 | + | 0.630796i | 0.0637215 | + | 0.0231573i | ||||
\(743\) | −1.55707 | − | 4.05631i | −0.0571235 | − | 0.148812i | 0.902049 | − | 0.431634i | \(-0.142063\pi\) |
−0.959172 | + | 0.282822i | \(0.908729\pi\) | |||||||
\(744\) | 46.0074 | + | 26.4719i | 1.68671 | + | 0.970508i | ||||
\(745\) | −23.0994 | + | 20.7988i | −0.846298 | + | 0.762010i | ||||
\(746\) | 2.98822 | − | 2.78931i | 0.109406 | − | 0.102124i | ||||
\(747\) | 49.3817 | − | 13.2318i | 1.80678 | − | 0.484125i | ||||
\(748\) | 27.3595 | − | 6.07534i | 1.00036 | − | 0.222136i | ||||
\(749\) | −0.501481 | − | 0.501481i | −0.0183237 | − | 0.0183237i | ||||
\(750\) | 45.5284 | + | 28.4182i | 1.66246 | + | 1.03768i | ||||
\(751\) | −44.8943 | + | 9.54259i | −1.63822 | + | 0.348214i | −0.932749 | − | 0.360527i | \(-0.882597\pi\) |
−0.705469 | + | 0.708741i | \(0.749264\pi\) | |||||||
\(752\) | 11.5692 | − | 13.3619i | 0.421887 | − | 0.487258i | ||||
\(753\) | 13.6303 | + | 18.7605i | 0.496717 | + | 0.683672i | ||||
\(754\) | −21.0818 | + | 9.41192i | −0.767754 | + | 0.342762i | ||||
\(755\) | 19.1420 | − | 6.21961i | 0.696648 | − | 0.226355i | ||||
\(756\) | 5.17999 | + | 7.38232i | 0.188394 | + | 0.268492i | ||||
\(757\) | −2.66674 | + | 25.3723i | −0.0969242 | + | 0.922172i | 0.832715 | + | 0.553702i | \(0.186785\pi\) |
−0.929639 | + | 0.368471i | \(0.879881\pi\) | |||||||
\(758\) | −1.12861 | − | 16.0266i | −0.0409931 | − | 0.582114i | ||||
\(759\) | −12.8018 | + | 96.7613i | −0.464678 | + | 3.51221i | ||||
\(760\) | −5.02721 | − | 9.83056i | −0.182356 | − | 0.356592i | ||||
\(761\) | −28.3898 | − | 10.8978i | −1.02913 | − | 0.395046i | −0.215546 | − | 0.976494i | \(-0.569153\pi\) |
−0.813584 | + | 0.581447i | \(0.802487\pi\) | |||||||
\(762\) | −4.27219 | + | 7.71618i | −0.154765 | + | 0.279528i | ||||
\(763\) | 1.14290 | − | 5.37692i | 0.0413757 | − | 0.194658i | ||||
\(764\) | 6.25602 | − | 6.05328i | 0.226335 | − | 0.219000i | ||||
\(765\) | 42.3743 | + | 110.389i | 1.53205 | + | 3.99112i | ||||
\(766\) | 22.2366 | + | 17.3556i | 0.803442 | + | 0.627082i | ||||
\(767\) | −10.7076 | + | 5.22941i | −0.386629 | + | 0.188823i | ||||
\(768\) | −43.5143 | − | 29.1022i | −1.57019 | − | 1.05014i | ||||
\(769\) | 29.8192 | + | 7.99002i | 1.07531 | + | 0.288127i | 0.752672 | − | 0.658396i | \(-0.228765\pi\) |
0.322635 | + | 0.946524i | \(0.395431\pi\) | |||||||
\(770\) | −3.67898 | − | 3.37216i | −0.132581 | − | 0.121524i | ||||
\(771\) | 20.9430 | − | 36.2743i | 0.754244 | − | 1.30639i | ||||
\(772\) | 8.51613 | − | 37.0537i | 0.306502 | − | 1.33359i | ||||
\(773\) | 28.8633 | + | 1.51266i | 1.03814 | + | 0.0544067i | 0.563781 | − | 0.825924i | \(-0.309346\pi\) |
0.474360 | + | 0.880331i | \(0.342680\pi\) | |||||||
\(774\) | 28.2117 | − | 66.5535i | 1.01405 | − | 2.39222i | ||||
\(775\) | 7.35169 | − | 46.4167i | 0.264080 | − | 1.66734i | ||||
\(776\) | 14.2774 | − | 4.66232i | 0.512529 | − | 0.167367i | ||||
\(777\) | 0.274317 | + | 0.246996i | 0.00984105 | + | 0.00886092i | ||||
\(778\) | −28.5851 | + | 0.513021i | −1.02483 | + | 0.0183927i | ||||
\(779\) | −0.307534 | − | 0.223437i | −0.0110186 | − | 0.00800545i | ||||
\(780\) | 67.6102 | + | 52.6588i | 2.42083 | + | 1.88549i | ||||
\(781\) | 0.490356 | + | 19.1952i | 0.0175463 | + | 0.686857i | ||||
\(782\) | −17.5225 | − | 50.8077i | −0.626602 | − | 1.81688i | ||||
\(783\) | −69.3160 | − | 7.28541i | −2.47715 | − | 0.260359i | ||||
\(784\) | −27.6418 | − | 0.910818i | −0.987206 | − | 0.0325292i | ||||
\(785\) | −51.8123 | − | 26.3997i | −1.84926 | − | 0.942246i | ||||
\(786\) | 43.2997 | + | 3.76677i | 1.54445 | + | 0.134356i | ||||
\(787\) | −37.7390 | − | 30.5604i | −1.34525 | − | 1.08936i | −0.987850 | − | 0.155408i | \(-0.950331\pi\) |
−0.357398 | − | 0.933952i | \(-0.616336\pi\) | |||||||
\(788\) | 18.2780 | + | 20.9846i | 0.651125 | + | 0.747547i | ||||
\(789\) | 1.34572 | + | 1.49457i | 0.0479089 | + | 0.0532082i | ||||
\(790\) | 13.9068 | + | 26.1238i | 0.494780 | + | 0.929443i | ||||
\(791\) | 3.36155 | + | 0.900725i | 0.119523 | + | 0.0320261i | ||||
\(792\) | 70.2664 | − | 16.9316i | 2.49681 | − | 0.601639i | ||||
\(793\) | 0.0101582 | − | 0.600014i | 0.000360727 | − | 0.0213071i | ||||
\(794\) | −46.9289 | − | 1.61568i | −1.66545 | − | 0.0573384i | ||||
\(795\) | 44.4326 | + | 28.8549i | 1.57586 | + | 1.02338i | ||||
\(796\) | −35.8410 | + | 17.5245i | −1.27035 | + | 0.621139i | ||||
\(797\) | −54.7707 | + | 5.75663i | −1.94008 | + | 0.203910i | −0.993089 | − | 0.117361i | \(-0.962557\pi\) |
−0.946987 | + | 0.321271i | \(0.895890\pi\) | |||||||
\(798\) | −1.31992 | + | 0.616281i | −0.0467248 | + | 0.0218161i | ||||
\(799\) | −10.1679 | − | 15.6571i | −0.359713 | − | 0.553909i | ||||
\(800\) | −10.3151 | + | 45.1862i | −0.364692 | + | 1.59757i | ||||
\(801\) | 12.3341 | + | 77.8745i | 0.435804 | + | 2.75156i | ||||
\(802\) | −2.70199 | − | 38.3690i | −0.0954107 | − | 1.35486i | ||||
\(803\) | −3.50483 | − | 14.6399i | −0.123683 | − | 0.516632i | ||||
\(804\) | 24.9222 | + | 18.7418i | 0.878939 | + | 0.660973i | ||||
\(805\) | −5.62531 | + | 7.74258i | −0.198266 | + | 0.272890i | ||||
\(806\) | 7.54092 | − | 28.2580i | 0.265618 | − | 0.995346i | ||||
\(807\) | 20.8223 | − | 6.76557i | 0.732979 | − | 0.238159i | ||||
\(808\) | −12.6692 | − | 19.4460i | −0.445701 | − | 0.684107i | ||||
\(809\) | 49.4310 | + | 22.0081i | 1.73790 | + | 0.773763i | 0.994479 | + | 0.104939i | \(0.0334648\pi\) |
0.743421 | + | 0.668824i | \(0.233202\pi\) | |||||||
\(810\) | 52.4998 | + | 129.758i | 1.84466 | + | 4.55922i | ||||
\(811\) | 13.7710 | − | 7.01666i | 0.483564 | − | 0.246388i | −0.195174 | − | 0.980769i | \(-0.562527\pi\) |
0.678738 | + | 0.734380i | \(0.262527\pi\) | |||||||
\(812\) | −1.80721 | + | 1.94182i | −0.0634206 | + | 0.0681446i | ||||
\(813\) | −84.6706 | + | 22.6874i | −2.96953 | + | 0.795682i | ||||
\(814\) | 1.61680 | − | 0.805810i | 0.0566690 | − | 0.0282436i | ||||
\(815\) | −11.0799 | − | 6.39700i | −0.388113 | − | 0.224077i | ||||
\(816\) | −42.2882 | + | 35.6260i | −1.48038 | + | 1.24716i | ||||
\(817\) | 5.97958 | + | 3.88318i | 0.209199 | + | 0.135855i | ||||
\(818\) | 25.1245 | − | 32.1905i | 0.878458 | − | 1.12552i | ||||
\(819\) | 5.22752 | − | 6.23656i | 0.182664 | − | 0.217923i | ||||
\(820\) | 0.624060 | + | 2.49252i | 0.0217931 | + | 0.0870426i | ||||
\(821\) | 0.403227 | + | 7.69402i | 0.0140727 | + | 0.268523i | 0.996599 | + | 0.0824008i | \(0.0262588\pi\) |
−0.982527 | + | 0.186122i | \(0.940408\pi\) | |||||||
\(822\) | 27.1120 | + | 26.1560i | 0.945639 | + | 0.912294i | ||||
\(823\) | 48.8926 | − | 21.7684i | 1.70429 | − | 0.758799i | 0.705548 | − | 0.708662i | \(-0.250701\pi\) |
0.998742 | − | 0.0501372i | \(-0.0159658\pi\) | |||||||
\(824\) | 9.38686 | − | 14.5013i | 0.327007 | − | 0.505177i | ||||
\(825\) | −50.3119 | − | 73.3047i | −1.75164 | − | 2.55214i | ||||
\(826\) | −0.897738 | + | 1.03376i | −0.0312363 | + | 0.0359690i | ||||
\(827\) | 33.7650 | − | 5.34785i | 1.17412 | − | 0.185963i | 0.461260 | − | 0.887265i | \(-0.347398\pi\) |
0.712864 | + | 0.701302i | \(0.247398\pi\) | |||||||
\(828\) | −47.5335 | − | 130.199i | −1.65190 | − | 4.52471i | ||||
\(829\) | 33.8946 | + | 30.5188i | 1.17721 | + | 1.05996i | 0.997084 | + | 0.0763179i | \(0.0243164\pi\) |
0.180123 | + | 0.983644i | \(0.442350\pi\) | |||||||
\(830\) | 19.5361 | − | 27.9297i | 0.678109 | − | 0.969454i | ||||
\(831\) | 12.5301 | − | 9.10364i | 0.434664 | − | 0.315802i | ||||
\(832\) | −9.29595 | + | 27.3054i | −0.322279 | + | 0.946645i | ||||
\(833\) | −9.02730 | + | 27.7832i | −0.312777 | + | 0.962630i | ||||
\(834\) | −13.4621 | − | 4.10852i | −0.466153 | − | 0.142267i | ||||
\(835\) | −54.4087 | + | 31.4129i | −1.88289 | + | 1.08709i | ||||
\(836\) | 0.437663 | + | 7.11555i | 0.0151369 | + | 0.246096i | ||||
\(837\) | 62.4324 | − | 62.4324i | 2.15798 | − | 2.15798i | ||||
\(838\) | −28.3505 | + | 6.55992i | −0.979351 | + | 0.226609i | ||||
\(839\) | −1.29241 | − | 0.0677321i | −0.0446188 | − | 0.00233837i | 0.0300135 | − | 0.999549i | \(-0.490445\pi\) |
−0.0746323 | + | 0.997211i | \(0.523778\pi\) | |||||||
\(840\) | 9.51466 | + | 2.53440i | 0.328287 | + | 0.0874452i | ||||
\(841\) | 0.888386 | + | 8.45243i | 0.0306340 | + | 0.291463i | ||||
\(842\) | −6.63845 | − | 37.5405i | −0.228776 | − | 1.29373i | ||||
\(843\) | −5.39476 | − | 102.938i | −0.185805 | − | 3.54538i | ||||
\(844\) | −36.8313 | − | 30.8434i | −1.26778 | − | 1.06167i | ||||
\(845\) | 18.4045 | − | 43.4851i | 0.633133 | − | 1.49593i | ||||
\(846\) | −26.9428 | − | 39.9019i | −0.926311 | − | 1.37186i | ||||
\(847\) | 1.30684 | + | 2.94534i | 0.0449035 | + | 0.101203i | ||||
\(848\) | −4.27993 | + | 17.3109i | −0.146973 | + | 0.594459i | ||||
\(849\) | 1.71636 | + | 3.85502i | 0.0589055 | + | 0.132304i | ||||
\(850\) | 42.8300 | + | 23.7135i | 1.46906 | + | 0.813367i | ||||
\(851\) | −1.88676 | − | 2.90535i | −0.0646772 | − | 0.0995941i | ||||
\(852\) | −18.3992 | − | 33.1161i | −0.630345 | − | 1.13454i | ||||
\(853\) | 52.4092 | + | 8.30080i | 1.79446 | + | 0.284214i | 0.962630 | − | 0.270821i | \(-0.0872952\pi\) |
0.831827 | + | 0.555035i | \(0.187295\pi\) | |||||||
\(854\) | −0.0258605 | − | 0.0639165i | −0.000884928 | − | 0.00218718i | ||||
\(855\) | −29.4202 | + | 6.25346i | −1.00615 | + | 0.213864i | ||||
\(856\) | 4.30157 | − | 5.32806i | 0.147025 | − | 0.182109i | ||||
\(857\) | − | 35.0921i | − | 1.19872i | −0.800479 | − | 0.599361i | \(-0.795421\pi\) | ||
0.800479 | − | 0.599361i | \(-0.204579\pi\) | |||||||
\(858\) | −26.4203 | − | 48.6163i | −0.901973 | − | 1.65973i | ||||
\(859\) | − | 11.0084i | − | 0.375603i | −0.982207 | − | 0.187801i | \(-0.939864\pi\) | ||
0.982207 | − | 0.187801i | \(-0.0601361\pi\) | |||||||
\(860\) | −14.1356 | − | 46.0734i | −0.482021 | − | 1.57109i | ||||
\(861\) | 0.331584 | − | 0.0704804i | 0.0113004 | − | 0.00240197i | ||||
\(862\) | 5.08522 | − | 2.05747i | 0.173203 | − | 0.0700778i | ||||
\(863\) | 13.6472 | + | 2.16151i | 0.464557 | + | 0.0735786i | 0.384325 | − | 0.923198i | \(-0.374434\pi\) |
0.0802315 | + | 0.996776i | \(0.474434\pi\) | |||||||
\(864\) | −65.5776 | + | 57.2896i | −2.23100 | + | 1.94903i | ||||
\(865\) | −12.7219 | − | 19.5899i | −0.432556 | − | 0.666078i | ||||
\(866\) | −9.95300 | + | 17.9765i | −0.338217 | + | 0.610868i | ||||
\(867\) | 1.13278 | + | 2.54426i | 0.0384712 | + | 0.0864078i | ||||
\(868\) | −0.470949 | − | 3.32722i | −0.0159851 | − | 0.112933i | ||||
\(869\) | −1.48702 | − | 19.0502i | −0.0504438 | − | 0.646234i | ||||
\(870\) | −63.0666 | + | 42.5841i | −2.13816 | + | 1.44374i | ||||
\(871\) | 6.42805 | − | 15.9341i | 0.217806 | − | 0.539905i | ||||
\(872\) | 52.7945 | + | 5.47017i | 1.78785 | + | 0.185243i | ||||
\(873\) | −2.14126 | − | 40.8576i | −0.0724706 | − | 1.38282i | ||||
\(874\) | 13.4622 | − | 2.38057i | 0.455364 | − | 0.0805240i | ||||
\(875\) | −0.355160 | − | 3.37912i | −0.0120066 | − | 0.114235i | ||||
\(876\) | 19.5073 | + | 22.3961i | 0.659092 | + | 0.756694i | ||||
\(877\) | 38.7215 | + | 2.02931i | 1.30753 | + | 0.0685249i | 0.693328 | − | 0.720622i | \(-0.256144\pi\) |
0.614204 | + | 0.789147i | \(0.289477\pi\) | |||||||
\(878\) | 4.75147 | + | 20.5348i | 0.160354 | + | 0.693015i | ||||
\(879\) | −3.40013 | + | 3.40013i | −0.114684 | + | 0.114684i | ||||
\(880\) | 28.6115 | − | 38.7738i | 0.964494 | − | 1.30707i | ||||
\(881\) | 37.7802 | − | 21.8124i | 1.27285 | − | 0.734879i | 0.297325 | − | 0.954776i | \(-0.403906\pi\) |
0.975523 | + | 0.219897i | \(0.0705722\pi\) | |||||||
\(882\) | −21.9915 | + | 72.0576i | −0.740491 | + | 2.42631i | ||||
\(883\) | 3.77598 | − | 11.6213i | 0.127072 | − | 0.391087i | −0.867201 | − | 0.497958i | \(-0.834083\pi\) |
0.994273 | + | 0.106871i | \(0.0340832\pi\) | |||||||
\(884\) | 24.9838 | + | 17.4377i | 0.840296 | + | 0.586494i | ||||
\(885\) | −31.7758 | + | 23.0865i | −1.06813 | + | 0.776043i | ||||
\(886\) | 23.4741 | + | 16.4195i | 0.788626 | + | 0.551624i | ||||
\(887\) | 2.72416 | + | 2.45284i | 0.0914683 | + | 0.0823585i | 0.713596 | − | 0.700557i | \(-0.247065\pi\) |
−0.622128 | + | 0.782915i | \(0.713732\pi\) | |||||||
\(888\) | −2.09070 | + | 2.88656i | −0.0701594 | + | 0.0968665i | ||||
\(889\) | 0.551501 | − | 0.0873492i | 0.0184968 | − | 0.00292960i | ||||
\(890\) | 39.6891 | + | 34.4669i | 1.33038 | + | 1.15533i | ||||
\(891\) | 2.42359 | − | 90.3445i | 0.0811933 | − | 3.02665i | ||||
\(892\) | −6.57270 | − | 15.4420i | −0.220070 | − | 0.517038i | ||||
\(893\) | 4.33829 | − | 1.93153i | 0.145175 | − | 0.0646363i | ||||
\(894\) | −27.4919 | + | 28.4967i | −0.919467 | + | 0.953073i | ||||
\(895\) | 0.821132 | + | 15.6681i | 0.0274474 | + | 0.523728i | ||||
\(896\) | 0.242566 | + | 3.30525i | 0.00810356 | + | 0.110421i | ||||
\(897\) | −86.8861 | + | 60.9063i | −2.90104 | + | 2.03360i | ||||
\(898\) | 9.12154 | + | 7.11930i | 0.304390 | + | 0.237574i | ||||
\(899\) | 21.7807 | + | 14.1446i | 0.726428 | + | 0.471748i | ||||
\(900\) | 111.536 | + | 59.1641i | 3.71787 | + | 1.97214i | ||||
\(901\) | 16.3120 | + | 9.41776i | 0.543433 | + | 0.313751i | ||||
\(902\) | 0.274055 | − | 1.63620i | 0.00912504 | − | 0.0544796i | ||||
\(903\) | −6.14153 | + | 1.64562i | −0.204377 | + | 0.0547628i | ||||
\(904\) | −5.20765 | + | 33.1968i | −0.173204 | + | 1.10411i | ||||
\(905\) | −38.2112 | + | 19.4696i | −1.27018 | + | 0.647191i | ||||
\(906\) | 23.7677 | − | 9.61638i | 0.789629 | − | 0.319483i | ||||
\(907\) | 31.2664 | + | 13.9207i | 1.03818 | + | 0.462229i | 0.853787 | − | 0.520623i | \(-0.174300\pi\) |
0.184397 | + | 0.982852i | \(0.440967\pi\) | |||||||
\(908\) | −0.0158606 | + | 0.962942i | −0.000526351 | + | 0.0319564i | ||||
\(909\) | −60.1282 | + | 19.5368i | −1.99433 | + | 0.647996i | ||||
\(910\) | −0.00551730 | − | 5.42538i | −0.000182897 | − | 0.179850i | ||||
\(911\) | −8.51844 | + | 11.7246i | −0.282229 | + | 0.388454i | −0.926470 | − | 0.376367i | \(-0.877173\pi\) |
0.644242 | + | 0.764822i | \(0.277173\pi\) | |||||||
\(912\) | −7.26792 | − | 12.0421i | −0.240665 | − | 0.398754i | ||||
\(913\) | −18.7712 | + | 11.4865i | −0.621236 | + | 0.380148i | ||||
\(914\) | 24.7881 | − | 1.74561i | 0.819917 | − | 0.0577395i | ||||
\(915\) | −0.309422 | − | 1.95361i | −0.0102292 | − | 0.0645845i | ||||
\(916\) | −15.7232 | + | 33.8054i | −0.519510 | + | 1.11696i | ||||
\(917\) | −1.49862 | − | 2.30768i | −0.0494889 | − | 0.0762062i | ||||
\(918\) | 38.9123 | + | 83.3406i | 1.28430 | + | 2.75065i | ||||
\(919\) | 45.3392 | − | 4.76534i | 1.49560 | − | 0.157194i | 0.678891 | − | 0.734239i | \(-0.262461\pi\) |
0.816712 | + | 0.577045i | \(0.195794\pi\) | |||||||
\(920\) | −80.0952 | − | 46.0855i | −2.64066 | − | 1.51940i | ||||
\(921\) | 29.7172 | + | 19.2986i | 0.979215 | + | 0.635910i | ||||
\(922\) | −0.215710 | + | 6.26551i | −0.00710405 | + | 0.206344i | ||||
\(923\) | −15.0080 | + | 14.5083i | −0.493994 | + | 0.477546i | ||||
\(924\) | −4.97674 | − | 3.95588i | −0.163723 | − | 0.130139i | ||||
\(925\) | 3.04809 | + | 0.816734i | 0.100221 | + | 0.0268540i | ||||
\(926\) | −6.13033 | + | 3.26342i | −0.201455 | + | 0.107243i | ||||
\(927\) | −31.4868 | − | 34.9696i | −1.03416 | − | 1.14855i | ||||
\(928\) | −20.4934 | − | 15.3640i | −0.672729 | − | 0.504348i | ||||
\(929\) | −9.27176 | − | 7.50812i | −0.304197 | − | 0.246334i | 0.465052 | − | 0.885284i | \(-0.346036\pi\) |
−0.769248 | + | 0.638950i | \(0.779369\pi\) | |||||||
\(930\) | 8.35454 | − | 96.0369i | 0.273956 | − | 3.14917i | ||||
\(931\) | −6.62101 | − | 3.37357i | −0.216995 | − | 0.110564i | ||||
\(932\) | 31.0871 | − | 11.3494i | 1.01829 | − | 0.371763i | ||||
\(933\) | −31.2617 | − | 3.28574i | −1.02346 | − | 0.107570i | ||||
\(934\) | 8.39299 | − | 2.89456i | 0.274627 | − | 0.0947128i | ||||
\(935\) | −30.9594 | − | 40.4006i | −1.01248 | − | 1.32124i | ||||
\(936\) | 65.2286 | + | 43.8076i | 2.13206 | + | 1.43190i | ||||
\(937\) | −27.5208 | − | 19.9951i | −0.899067 | − | 0.653210i | 0.0391592 | − | 0.999233i | \(-0.487532\pi\) |
−0.938226 | + | 0.346023i | \(0.887532\pi\) | |||||||
\(938\) | −0.0354245 | − | 1.97382i | −0.00115665 | − | 0.0644476i | ||||
\(939\) | −4.80387 | − | 4.32542i | −0.156768 | − | 0.141155i | ||||
\(940\) | −30.8644 | − | 8.81738i | −1.00669 | − | 0.287591i | ||||
\(941\) | −7.10775 | + | 44.8766i | −0.231706 | + | 1.46293i | 0.547836 | + | 0.836585i | \(0.315452\pi\) |
−0.779543 | + | 0.626349i | \(0.784548\pi\) | |||||||
\(942\) | −68.2018 | − | 28.9104i | −2.22214 | − | 0.941951i | ||||
\(943\) | −3.17704 | − | 0.166501i | −0.103459 | − | 0.00542203i | ||||
\(944\) | −10.8441 | − | 7.56136i | −0.352945 | − | 0.246101i | ||||
\(945\) | 8.18927 | − | 14.1842i | 0.266397 | − | 0.461413i | ||||
\(946\) | −3.52704 | + | 30.9158i | −0.114674 | + | 1.00516i | ||||
\(947\) | 50.1137 | + | 13.4279i | 1.62848 | + | 0.436349i | 0.953476 | − | 0.301468i | \(-0.0974767\pi\) |
0.675000 | + | 0.737817i | \(0.264143\pi\) | |||||||
\(948\) | 20.0094 | + | 31.9518i | 0.649876 | + | 1.03775i | ||||
\(949\) | 9.14408 | − | 13.5720i | 0.296829 | − | 0.440566i | ||||
\(950\) | −7.66208 | + | 9.81697i | −0.248591 | + | 0.318504i | ||||
\(951\) | −14.8619 | − | 38.7166i | −0.481930 | − | 1.25547i | ||||
\(952\) | 3.42519 | + | 0.722766i | 0.111011 | + | 0.0234250i | ||||
\(953\) | −4.75459 | + | 22.3686i | −0.154016 | + | 0.724589i | 0.831571 | + | 0.555419i | \(0.187442\pi\) |
−0.985587 | + | 0.169170i | \(0.945891\pi\) | |||||||
\(954\) | 42.4970 | + | 23.5291i | 1.37589 | + | 0.761784i | ||||
\(955\) | −14.7597 | − | 5.66570i | −0.477612 | − | 0.183338i | ||||
\(956\) | 43.9483 | + | 5.35228i | 1.42139 | + | 0.173105i | ||||
\(957\) | 48.3160 | − | 8.92288i | 1.56183 | − | 0.288436i | ||||
\(958\) | 15.3897 | − | 1.08376i | 0.497218 | − | 0.0350147i | ||||
\(959\) | 0.249297 | − | 2.37190i | 0.00805022 | − | 0.0765928i | ||||
\(960\) | −14.5955 | + | 93.9459i | −0.471067 | + | 3.03209i | ||||
\(961\) | −1.80633 | + | 0.586911i | −0.0582686 | + | 0.0189326i | ||||
\(962\) | 1.83413 | + | 0.701918i | 0.0591348 | + | 0.0226307i | ||||
\(963\) | −10.9644 | − | 15.0912i | −0.353322 | − | 0.486306i | ||||
\(964\) | −28.8696 | − | 9.90884i | −0.929827 | − | 0.319142i | ||||
\(965\) | −67.5400 | + | 14.3561i | −2.17419 | + | 0.462138i | ||||
\(966\) | −6.45539 | + | 10.3421i | −0.207699 | + | 0.332752i | ||||
\(967\) | 9.85322 | + | 9.85322i | 0.316858 | + | 0.316858i | 0.847559 | − | 0.530701i | \(-0.178071\pi\) |
−0.530701 | + | 0.847559i | \(0.678071\pi\) | |||||||
\(968\) | −26.9413 | + | 15.5616i | −0.865927 | + | 0.500170i | ||||
\(969\) | −14.3506 | + | 3.84522i | −0.461007 | + | 0.123526i | ||||
\(970\) | −18.6128 | − | 19.9401i | −0.597621 | − | 0.640238i | ||||
\(971\) | 0.483263 | − | 0.435132i | 0.0155086 | − | 0.0139640i | −0.661340 | − | 0.750086i | \(-0.730012\pi\) |
0.676848 | + | 0.736122i | \(0.263345\pi\) | |||||||
\(972\) | 37.7550 | + | 77.2164i | 1.21099 | + | 2.47672i | ||||
\(973\) | 0.319331 | + | 0.831885i | 0.0102373 | + | 0.0266690i | ||||
\(974\) | −5.68793 | + | 15.6514i | −0.182253 | + | 0.501503i | ||||
\(975\) | 21.6931 | − | 94.1888i | 0.694735 | − | 3.01645i | ||||
\(976\) | 0.587207 | − | 0.313707i | 0.0187960 | − | 0.0100415i | ||||
\(977\) | 29.7447 | + | 36.7316i | 0.951616 | + | 1.17515i | 0.984446 | + | 0.175687i | \(0.0562147\pi\) |
−0.0328299 | + | 0.999461i | \(0.510452\pi\) | |||||||
\(978\) | −14.6520 | − | 7.13735i | −0.468520 | − | 0.228227i | ||||
\(979\) | −14.5919 | − | 30.6429i | −0.466358 | − | 0.979352i | ||||
\(980\) | 19.6713 | + | 46.2161i | 0.628375 | + | 1.47632i | ||||
\(981\) | 51.8148 | − | 134.982i | 1.65432 | − | 4.30965i | ||||
\(982\) | 22.6143 | − | 13.6032i | 0.721650 | − | 0.434094i | ||||
\(983\) | 19.8930 | + | 10.1360i | 0.634488 | + | 0.323288i | 0.741483 | − | 0.670972i | \(-0.234123\pi\) |
−0.106995 | + | 0.994260i | \(0.534123\pi\) | |||||||
\(984\) | 1.01606 | + | 3.11147i | 0.0323907 | + | 0.0991901i | ||||
\(985\) | 20.5567 | − | 46.1712i | 0.654992 | − | 1.47114i | ||||
\(986\) | −21.5985 | + | 16.2923i | −0.687837 | + | 0.518853i | ||||
\(987\) | −1.30865 | + | 4.02762i | −0.0416549 | + | 0.128201i | ||||
\(988\) | −5.37521 | + | 5.58303i | −0.171008 | + | 0.177620i | ||||
\(989\) | 59.6707 | 1.89742 | ||||||||
\(990\) | −81.6996 | − | 102.742i | −2.59658 | − | 3.26534i | ||||
\(991\) | 20.8227 | − | 12.0220i | 0.661454 | − | 0.381891i | −0.131376 | − | 0.991333i | \(-0.541940\pi\) |
0.792831 | + | 0.609442i | \(0.208606\pi\) | |||||||
\(992\) | 31.4633 | − | 7.92694i | 0.998962 | − | 0.251680i | ||||
\(993\) | −20.0366 | − | 39.3240i | −0.635842 | − | 1.24791i | ||||
\(994\) | −0.936037 | + | 2.20818i | −0.0296893 | + | 0.0700393i | ||||
\(995\) | 56.3091 | + | 45.5982i | 1.78512 | + | 1.44556i | ||||
\(996\) | 22.3258 | − | 37.2393i | 0.707420 | − | 1.17997i | ||||
\(997\) | 25.7241 | + | 5.46783i | 0.814691 | + | 0.173168i | 0.596371 | − | 0.802709i | \(-0.296609\pi\) |
0.218320 | + | 0.975877i | \(0.429942\pi\) | |||||||
\(998\) | 11.4640 | − | 11.8830i | 0.362886 | − | 0.376149i | ||||
\(999\) | 3.73101 | + | 4.60741i | 0.118044 | + | 0.145772i |
(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 | 572.2.bs.a.15.10 | ✓ | 1280 | |
4.3 | odd | 2 | inner | 572.2.bs.a.15.38 | yes | 1280 | |
11.3 | even | 5 | inner | 572.2.bs.a.223.26 | yes | 1280 | |
13.7 | odd | 12 | inner | 572.2.bs.a.59.7 | yes | 1280 | |
44.3 | odd | 10 | inner | 572.2.bs.a.223.7 | yes | 1280 | |
52.7 | even | 12 | inner | 572.2.bs.a.59.26 | yes | 1280 | |
143.124 | odd | 60 | inner | 572.2.bs.a.267.38 | yes | 1280 | |
572.267 | even | 60 | inner | 572.2.bs.a.267.10 | yes | 1280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bs.a.15.10 | ✓ | 1280 | 1.1 | even | 1 | trivial | |
572.2.bs.a.15.38 | yes | 1280 | 4.3 | odd | 2 | inner | |
572.2.bs.a.59.7 | yes | 1280 | 13.7 | odd | 12 | inner | |
572.2.bs.a.59.26 | yes | 1280 | 52.7 | even | 12 | inner | |
572.2.bs.a.223.7 | yes | 1280 | 44.3 | odd | 10 | inner | |
572.2.bs.a.223.26 | yes | 1280 | 11.3 | even | 5 | inner | |
572.2.bs.a.267.10 | yes | 1280 | 572.267 | even | 60 | inner | |
572.2.bs.a.267.38 | yes | 1280 | 143.124 | odd | 60 | inner |