Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [155,2,Mod(9,155)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(155, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("155.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 155 = 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 155.u (of order \(30\), degree \(8\), 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: | \(1.23768123133\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 49.2 | ||
Character | \(\chi\) | \(=\) | 155.49 |
Dual form | 155.2.u.a.19.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/155\mathbb{Z}\right)^\times\).
\(n\) | \(32\) | \(96\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.48457 | − | 2.04333i | −1.04975 | − | 1.44485i | −0.889028 | − | 0.457853i | \(-0.848619\pi\) |
−0.160719 | − | 0.987000i | \(-0.551381\pi\) | |||||||
\(3\) | 0.435922 | + | 0.979096i | 0.251680 | + | 0.565281i | 0.994563 | − | 0.104140i | \(-0.0332089\pi\) |
−0.742883 | + | 0.669421i | \(0.766542\pi\) | |||||||
\(4\) | −1.35323 | + | 4.16481i | −0.676614 | + | 2.08240i | ||||
\(5\) | −1.48566 | + | 1.67117i | −0.664407 | + | 0.747371i | ||||
\(6\) | 1.35346 | − | 2.34427i | 0.552549 | − | 0.957042i | ||||
\(7\) | 2.47832 | − | 2.23149i | 0.936718 | − | 0.843424i | −0.0511551 | − | 0.998691i | \(-0.516290\pi\) |
0.987873 | + | 0.155266i | \(0.0496236\pi\) | |||||||
\(8\) | 5.71488 | − | 1.85688i | 2.02051 | − | 0.656505i | ||||
\(9\) | 1.23879 | − | 1.37582i | 0.412930 | − | 0.458605i | ||||
\(10\) | 5.62032 | + | 0.554728i | 1.77730 | + | 0.175420i | ||||
\(11\) | 2.11653 | − | 0.449882i | 0.638158 | − | 0.135645i | 0.122540 | − | 0.992464i | \(-0.460896\pi\) |
0.515618 | + | 0.856819i | \(0.327563\pi\) | |||||||
\(12\) | −4.66765 | + | 0.490590i | −1.34743 | + | 0.141621i | ||||
\(13\) | 5.65888 | + | 0.594772i | 1.56949 | + | 0.164960i | 0.848958 | − | 0.528461i | \(-0.177231\pi\) |
0.720533 | + | 0.693421i | \(0.243897\pi\) | |||||||
\(14\) | −8.23891 | − | 1.75123i | −2.20194 | − | 0.468037i | ||||
\(15\) | −2.28387 | − | 0.726104i | −0.589693 | − | 0.187479i | ||||
\(16\) | −5.19273 | − | 3.77274i | −1.29818 | − | 0.943185i | ||||
\(17\) | −1.26869 | + | 5.96872i | −0.307703 | + | 1.44763i | 0.504074 | + | 0.863660i | \(0.331834\pi\) |
−0.811777 | + | 0.583968i | \(0.801500\pi\) | |||||||
\(18\) | −4.65031 | − | 0.488768i | −1.09609 | − | 0.115204i | ||||
\(19\) | −0.0457736 | − | 0.435507i | −0.0105012 | − | 0.0999121i | 0.988016 | − | 0.154353i | \(-0.0493292\pi\) |
−0.998517 | + | 0.0544405i | \(0.982662\pi\) | |||||||
\(20\) | −4.94967 | − | 8.44896i | −1.10678 | − | 1.88925i | ||||
\(21\) | 3.26520 | + | 1.45376i | 0.712525 | + | 0.317236i | ||||
\(22\) | −4.06139 | − | 3.65689i | −0.865891 | − | 0.779652i | ||||
\(23\) | −2.68120 | + | 0.871176i | −0.559070 | + | 0.181653i | −0.574903 | − | 0.818222i | \(-0.694960\pi\) |
0.0158328 | + | 0.999875i | \(0.494960\pi\) | |||||||
\(24\) | 4.30930 | + | 4.78596i | 0.879632 | + | 0.976930i | ||||
\(25\) | −0.585630 | − | 4.96559i | −0.117126 | − | 0.993117i | ||||
\(26\) | −7.18566 | − | 12.4459i | −1.40922 | − | 2.44085i | ||||
\(27\) | 4.94497 | + | 1.60672i | 0.951660 | + | 0.309213i | ||||
\(28\) | 5.93999 | + | 13.3414i | 1.12255 | + | 2.52130i | ||||
\(29\) | 0.502231 | − | 0.364892i | 0.0932619 | − | 0.0677587i | −0.540177 | − | 0.841551i | \(-0.681643\pi\) |
0.633439 | + | 0.773793i | \(0.281643\pi\) | |||||||
\(30\) | 1.90689 | + | 5.74465i | 0.348148 | + | 1.04882i | ||||
\(31\) | −4.10982 | + | 3.75625i | −0.738145 | + | 0.674642i | ||||
\(32\) | 4.19340i | 0.741295i | ||||||||
\(33\) | 1.36312 | + | 1.87617i | 0.237289 | + | 0.326600i | ||||
\(34\) | 14.0795 | − | 6.26861i | 2.41462 | − | 1.07506i | ||||
\(35\) | 0.0472618 | + | 7.45694i | 0.00798870 | + | 1.26045i | ||||
\(36\) | 4.05364 | + | 7.02111i | 0.675607 | + | 1.17019i | ||||
\(37\) | −1.47288 | − | 0.850368i | −0.242140 | − | 0.139800i | 0.374020 | − | 0.927421i | \(-0.377979\pi\) |
−0.616160 | + | 0.787621i | \(0.711313\pi\) | |||||||
\(38\) | −0.821930 | + | 0.740069i | −0.133335 | + | 0.120055i | ||||
\(39\) | 1.88449 | + | 5.79986i | 0.301760 | + | 0.928721i | ||||
\(40\) | −5.38720 | + | 12.3092i | −0.851791 | + | 1.94626i | ||||
\(41\) | −5.45189 | − | 2.42734i | −0.851443 | − | 0.379087i | −0.0658491 | − | 0.997830i | \(-0.520976\pi\) |
−0.785594 | + | 0.618743i | \(0.787642\pi\) | |||||||
\(42\) | −1.87689 | − | 8.83008i | −0.289611 | − | 1.36251i | ||||
\(43\) | −3.37019 | + | 0.354221i | −0.513949 | + | 0.0540182i | −0.357953 | − | 0.933740i | \(-0.616525\pi\) |
−0.155996 | + | 0.987758i | \(0.549859\pi\) | |||||||
\(44\) | −0.990474 | + | 9.42373i | −0.149320 | + | 1.42068i | ||||
\(45\) | 0.458804 | + | 4.11423i | 0.0683945 | + | 0.613312i | ||||
\(46\) | 5.76053 | + | 4.18527i | 0.849343 | + | 0.617084i | ||||
\(47\) | 7.59692 | − | 10.4563i | 1.10812 | − | 1.52520i | 0.283974 | − | 0.958832i | \(-0.408347\pi\) |
0.824150 | − | 0.566371i | \(-0.191653\pi\) | |||||||
\(48\) | 1.43025 | − | 6.72880i | 0.206439 | − | 0.971219i | ||||
\(49\) | 0.430828 | − | 4.09905i | 0.0615468 | − | 0.585579i | ||||
\(50\) | −9.27692 | + | 8.56838i | −1.31196 | + | 1.21175i | ||||
\(51\) | −6.39700 | + | 1.35973i | −0.895760 | + | 0.190400i | ||||
\(52\) | −10.1349 | + | 22.7633i | −1.40545 | + | 3.15670i | ||||
\(53\) | −5.36509 | − | 4.83075i | −0.736952 | − | 0.663554i | 0.212609 | − | 0.977137i | \(-0.431804\pi\) |
−0.949561 | + | 0.313583i | \(0.898471\pi\) | |||||||
\(54\) | −4.05808 | − | 12.4895i | −0.552235 | − | 1.69960i | ||||
\(55\) | −2.39261 | + | 4.20546i | −0.322620 | + | 0.567064i | ||||
\(56\) | 10.0197 | − | 17.3546i | 1.33894 | − | 2.31911i | ||||
\(57\) | 0.406449 | − | 0.234664i | 0.0538355 | − | 0.0310819i | ||||
\(58\) | −1.49119 | − | 0.484517i | −0.195803 | − | 0.0636202i | ||||
\(59\) | 7.68661 | − | 3.42230i | 1.00071 | − | 0.445545i | 0.160052 | − | 0.987109i | \(-0.448834\pi\) |
0.840660 | + | 0.541563i | \(0.182167\pi\) | |||||||
\(60\) | 6.11468 | − | 8.52929i | 0.789401 | − | 1.10113i | ||||
\(61\) | −6.39962 | −0.819387 | −0.409694 | − | 0.912223i | \(-0.634364\pi\) | ||||
−0.409694 | + | 0.912223i | \(0.634364\pi\) | |||||||
\(62\) | 13.7766 | + | 2.82132i | 1.74962 | + | 0.358308i | ||||
\(63\) | − | 6.17406i | − | 0.777859i | ||||||
\(64\) | −1.81697 | + | 1.32010i | −0.227121 | + | 0.165013i | ||||
\(65\) | −9.40113 | + | 8.57333i | −1.16607 | + | 1.06339i | ||||
\(66\) | 1.81000 | − | 5.57061i | 0.222796 | − | 0.685695i | ||||
\(67\) | 5.07563 | − | 2.93042i | 0.620087 | − | 0.358008i | −0.156816 | − | 0.987628i | \(-0.550123\pi\) |
0.776903 | + | 0.629620i | \(0.216790\pi\) | |||||||
\(68\) | −23.1418 | − | 13.3609i | −2.80635 | − | 1.62025i | ||||
\(69\) | −2.02176 | − | 2.24539i | −0.243391 | − | 0.270314i | ||||
\(70\) | 15.1668 | − | 11.1669i | 1.81278 | − | 1.33470i | ||||
\(71\) | −2.31253 | + | 2.56833i | −0.274447 | + | 0.304804i | −0.864573 | − | 0.502507i | \(-0.832411\pi\) |
0.590126 | + | 0.807311i | \(0.299078\pi\) | |||||||
\(72\) | 4.52481 | − | 10.1629i | 0.533254 | − | 1.19771i | ||||
\(73\) | 1.55845 | + | 7.33195i | 0.182403 | + | 0.858140i | 0.970219 | + | 0.242229i | \(0.0778785\pi\) |
−0.787816 | + | 0.615911i | \(0.788788\pi\) | |||||||
\(74\) | 0.449006 | + | 4.27201i | 0.0521959 | + | 0.496611i | ||||
\(75\) | 4.60650 | − | 2.73799i | 0.531912 | − | 0.316156i | ||||
\(76\) | 1.87574 | + | 0.398702i | 0.215163 | + | 0.0457342i | ||||
\(77\) | 4.24154 | − | 5.83797i | 0.483368 | − | 0.665299i | ||||
\(78\) | 9.05338 | − | 12.4609i | 1.02509 | − | 1.41092i | ||||
\(79\) | −3.33461 | − | 0.708794i | −0.375173 | − | 0.0797455i | 0.0164659 | − | 0.999864i | \(-0.494759\pi\) |
−0.391639 | + | 0.920119i | \(0.628092\pi\) | |||||||
\(80\) | 14.0195 | − | 3.07294i | 1.56743 | − | 0.343565i | ||||
\(81\) | 0.00193395 | + | 0.0184003i | 0.000214884 | + | 0.00204448i | ||||
\(82\) | 3.13384 | + | 14.7436i | 0.346075 | + | 1.62815i | ||||
\(83\) | 0.461036 | − | 1.03550i | 0.0506052 | − | 0.113661i | −0.886473 | − | 0.462779i | \(-0.846852\pi\) |
0.937079 | + | 0.349118i | \(0.113519\pi\) | |||||||
\(84\) | −10.4732 | + | 11.6317i | −1.14272 | + | 1.26912i | ||||
\(85\) | −8.08992 | − | 10.9877i | −0.877475 | − | 1.19178i | ||||
\(86\) | 5.72706 | + | 6.36054i | 0.617565 | + | 0.685875i | ||||
\(87\) | 0.576198 | + | 0.332668i | 0.0617749 | + | 0.0356657i | ||||
\(88\) | 11.2603 | − | 6.50116i | 1.20036 | − | 0.693026i | ||||
\(89\) | −5.07259 | + | 15.6118i | −0.537694 | + | 1.65485i | 0.200062 | + | 0.979783i | \(0.435886\pi\) |
−0.737756 | + | 0.675068i | \(0.764114\pi\) | |||||||
\(90\) | 7.72560 | − | 7.04533i | 0.814349 | − | 0.742643i | ||||
\(91\) | 15.3517 | − | 11.1537i | 1.60930 | − | 1.16923i | ||||
\(92\) | − | 12.3456i | − | 1.28712i | ||||||
\(93\) | −5.46929 | − | 2.38648i | −0.567139 | − | 0.247466i | ||||
\(94\) | −32.6437 | −3.36694 | ||||||||
\(95\) | 0.795810 | + | 0.570519i | 0.0816484 | + | 0.0585340i | ||||
\(96\) | −4.10574 | + | 1.82799i | −0.419040 | + | 0.186569i | ||||
\(97\) | −16.5730 | − | 5.38488i | −1.68273 | − | 0.546752i | −0.697292 | − | 0.716787i | \(-0.745612\pi\) |
−0.985438 | + | 0.170035i | \(0.945612\pi\) | |||||||
\(98\) | −9.01531 | + | 5.20499i | −0.910684 | + | 0.525784i | ||||
\(99\) | 2.00298 | − | 3.46927i | 0.201307 | − | 0.348674i | ||||
\(100\) | 21.4732 | + | 4.28053i | 2.14732 | + | 0.428053i | ||||
\(101\) | −1.45583 | − | 4.48057i | −0.144860 | − | 0.445833i | 0.852133 | − | 0.523325i | \(-0.175309\pi\) |
−0.996993 | + | 0.0774920i | \(0.975309\pi\) | |||||||
\(102\) | 12.2751 | + | 11.0526i | 1.21542 | + | 1.09437i | ||||
\(103\) | −3.65203 | + | 8.20260i | −0.359845 | + | 0.808226i | 0.639381 | + | 0.768890i | \(0.279191\pi\) |
−0.999226 | + | 0.0393358i | \(0.987476\pi\) | |||||||
\(104\) | 33.4442 | − | 7.10878i | 3.27947 | − | 0.697074i | ||||
\(105\) | −7.28046 | + | 3.29692i | −0.710500 | + | 0.321746i | ||||
\(106\) | −1.90598 | + | 18.1342i | −0.185125 | + | 1.76135i | ||||
\(107\) | −1.20442 | + | 5.66637i | −0.116436 | + | 0.547788i | 0.880800 | + | 0.473489i | \(0.157006\pi\) |
−0.997236 | + | 0.0742998i | \(0.976328\pi\) | |||||||
\(108\) | −13.3833 | + | 18.4206i | −1.28781 | + | 1.77252i | ||||
\(109\) | 0.501197 | + | 0.364141i | 0.0480060 | + | 0.0348784i | 0.611529 | − | 0.791222i | \(-0.290555\pi\) |
−0.563523 | + | 0.826100i | \(0.690555\pi\) | |||||||
\(110\) | 12.1451 | − | 1.35438i | 1.15799 | − | 0.129135i | ||||
\(111\) | 0.190531 | − | 1.81279i | 0.0180844 | − | 0.172062i | ||||
\(112\) | −21.2881 | + | 2.23747i | −2.01154 | + | 0.211421i | ||||
\(113\) | 0.0669159 | + | 0.314815i | 0.00629492 | + | 0.0296153i | 0.981183 | − | 0.193080i | \(-0.0618478\pi\) |
−0.974888 | + | 0.222695i | \(0.928514\pi\) | |||||||
\(114\) | −1.08290 | − | 0.482136i | −0.101423 | − | 0.0451562i | ||||
\(115\) | 2.52747 | − | 5.77502i | 0.235688 | − | 0.538524i | ||||
\(116\) | 0.840072 | + | 2.58548i | 0.0779987 | + | 0.240055i | ||||
\(117\) | 7.82846 | − | 7.04877i | 0.723741 | − | 0.651659i | ||||
\(118\) | −18.4042 | − | 10.6257i | −1.69424 | − | 0.978171i | ||||
\(119\) | 10.1749 | + | 17.6235i | 0.932734 | + | 1.61554i | ||||
\(120\) | −14.4003 | + | 0.0912686i | −1.31456 | + | 0.00833165i | ||||
\(121\) | −5.77169 | + | 2.56972i | −0.524699 | + | 0.233611i | ||||
\(122\) | 9.50066 | + | 13.0765i | 0.860149 | + | 1.18389i | ||||
\(123\) | − | 6.39606i | − | 0.576713i | ||||||
\(124\) | −10.0825 | − | 22.1997i | −0.905438 | − | 1.99359i | ||||
\(125\) | 9.16839 | + | 6.39848i | 0.820046 | + | 0.572298i | ||||
\(126\) | −12.6157 | + | 9.16581i | −1.12389 | + | 0.816555i | ||||
\(127\) | −1.28380 | − | 2.88345i | −0.113918 | − | 0.255865i | 0.847584 | − | 0.530661i | \(-0.178056\pi\) |
−0.961503 | + | 0.274796i | \(0.911390\pi\) | |||||||
\(128\) | 13.3711 | + | 4.34454i | 1.18185 | + | 0.384007i | ||||
\(129\) | −1.81596 | − | 3.14533i | −0.159886 | − | 0.276931i | ||||
\(130\) | 31.4747 | + | 6.48195i | 2.76052 | + | 0.568504i | ||||
\(131\) | 4.38614 | + | 4.87130i | 0.383219 | + | 0.425608i | 0.903634 | − | 0.428306i | \(-0.140889\pi\) |
−0.520415 | + | 0.853914i | \(0.674223\pi\) | |||||||
\(132\) | −9.65851 | + | 3.13824i | −0.840666 | + | 0.273149i | ||||
\(133\) | −1.08527 | − | 0.977182i | −0.0941049 | − | 0.0847324i | ||||
\(134\) | −13.5229 | − | 6.02080i | −1.16820 | − | 0.520118i | ||||
\(135\) | −10.0316 | + | 5.87686i | −0.863386 | + | 0.505799i | ||||
\(136\) | 3.83276 | + | 36.4663i | 0.328657 | + | 3.12696i | ||||
\(137\) | −11.0717 | − | 1.16368i | −0.945920 | − | 0.0994202i | −0.381008 | − | 0.924572i | \(-0.624423\pi\) |
−0.564911 | + | 0.825152i | \(0.691090\pi\) | |||||||
\(138\) | −1.58664 | + | 7.46456i | −0.135064 | + | 0.635426i | ||||
\(139\) | 12.4431 | + | 9.04041i | 1.05541 | + | 0.766797i | 0.973233 | − | 0.229821i | \(-0.0738140\pi\) |
0.0821731 | + | 0.996618i | \(0.473814\pi\) | |||||||
\(140\) | −31.1207 | − | 9.89410i | −2.63018 | − | 0.836204i | ||||
\(141\) | 13.5494 | + | 2.88000i | 1.14106 | + | 0.242540i | ||||
\(142\) | 8.68104 | + | 0.912415i | 0.728497 | + | 0.0765681i | ||||
\(143\) | 12.2448 | − | 1.28698i | 1.02396 | − | 0.107622i | ||||
\(144\) | −11.6233 | + | 2.47061i | −0.968608 | + | 0.205884i | ||||
\(145\) | −0.136347 | + | 1.38142i | −0.0113230 | + | 0.114721i | ||||
\(146\) | 12.6680 | − | 14.0692i | 1.04841 | − | 1.16438i | ||||
\(147\) | 4.20117 | − | 1.36504i | 0.346507 | − | 0.112587i | ||||
\(148\) | 5.53476 | − | 4.98352i | 0.454955 | − | 0.409643i | ||||
\(149\) | 8.97751 | − | 15.5495i | 0.735466 | − | 1.27386i | −0.219053 | − | 0.975713i | \(-0.570297\pi\) |
0.954519 | − | 0.298151i | \(-0.0963700\pi\) | |||||||
\(150\) | −12.4333 | − | 5.34786i | −1.01517 | − | 0.436651i | ||||
\(151\) | 2.06027 | − | 6.34087i | 0.167663 | − | 0.516013i | −0.831560 | − | 0.555435i | \(-0.812552\pi\) |
0.999223 | + | 0.0394222i | \(0.0125517\pi\) | |||||||
\(152\) | −1.07027 | − | 2.40387i | −0.0868105 | − | 0.194980i | ||||
\(153\) | 6.64022 | + | 9.13948i | 0.536830 | + | 0.738883i | ||||
\(154\) | −18.2257 | −1.46867 | ||||||||
\(155\) | −0.171545 | − | 12.4487i | −0.0137788 | − | 0.999905i | ||||
\(156\) | −26.7054 | −2.13815 | ||||||||
\(157\) | −6.97662 | − | 9.60250i | −0.556795 | − | 0.766363i | 0.434119 | − | 0.900855i | \(-0.357060\pi\) |
−0.990915 | + | 0.134493i | \(0.957060\pi\) | |||||||
\(158\) | 3.50215 | + | 7.86597i | 0.278616 | + | 0.625783i | ||||
\(159\) | 2.39101 | − | 7.35877i | 0.189619 | − | 0.583588i | ||||
\(160\) | −7.00788 | − | 6.22996i | −0.554022 | − | 0.492522i | ||||
\(161\) | −4.70087 | + | 8.14214i | −0.370480 | + | 0.641690i | ||||
\(162\) | 0.0347269 | − | 0.0312682i | 0.00272840 | − | 0.00245666i | ||||
\(163\) | −3.29477 | + | 1.07054i | −0.258066 | + | 0.0838508i | −0.435193 | − | 0.900337i | \(-0.643320\pi\) |
0.177127 | + | 0.984188i | \(0.443320\pi\) | |||||||
\(164\) | 17.4871 | − | 19.4213i | 1.36551 | − | 1.51655i | ||||
\(165\) | −5.16054 | − | 0.509348i | −0.401748 | − | 0.0396527i | ||||
\(166\) | −2.80031 | + | 0.595225i | −0.217346 | + | 0.0461984i | ||||
\(167\) | 8.73710 | − | 0.918307i | 0.676097 | − | 0.0710607i | 0.239744 | − | 0.970836i | \(-0.422936\pi\) |
0.436353 | + | 0.899775i | \(0.356270\pi\) | |||||||
\(168\) | 21.3597 | + | 2.24499i | 1.64793 | + | 0.173205i | ||||
\(169\) | 18.9532 | + | 4.02863i | 1.45794 | + | 0.309895i | ||||
\(170\) | −10.4415 | + | 32.8423i | −0.800824 | + | 2.51889i | ||||
\(171\) | −0.655881 | − | 0.476525i | −0.0501565 | − | 0.0364408i | ||||
\(172\) | 3.08537 | − | 14.5155i | 0.235257 | − | 1.10680i | ||||
\(173\) | −20.1176 | − | 2.11444i | −1.52951 | − | 0.160758i | −0.697932 | − | 0.716164i | \(-0.745896\pi\) |
−0.831579 | + | 0.555406i | \(0.812563\pi\) | |||||||
\(174\) | −0.175653 | − | 1.67123i | −0.0133162 | − | 0.126696i | ||||
\(175\) | −12.5320 | − | 10.9995i | −0.947333 | − | 0.831483i | ||||
\(176\) | −12.6879 | − | 5.64900i | −0.956384 | − | 0.425809i | ||||
\(177\) | 6.70152 | + | 6.03408i | 0.503717 | + | 0.453549i | ||||
\(178\) | 39.4307 | − | 12.8118i | 2.95546 | − | 0.960287i | ||||
\(179\) | −6.54508 | − | 7.26905i | −0.489202 | − | 0.543314i | 0.447112 | − | 0.894478i | \(-0.352453\pi\) |
−0.936314 | + | 0.351164i | \(0.885786\pi\) | |||||||
\(180\) | −17.7558 | − | 3.65665i | −1.32344 | − | 0.272551i | ||||
\(181\) | −8.21773 | − | 14.2335i | −0.610819 | − | 1.05797i | −0.991103 | − | 0.133100i | \(-0.957507\pi\) |
0.380283 | − | 0.924870i | \(-0.375826\pi\) | |||||||
\(182\) | −45.5814 | − | 14.8103i | −3.37872 | − | 1.09781i | ||||
\(183\) | −2.78973 | − | 6.26584i | −0.206223 | − | 0.463184i | ||||
\(184\) | −13.7051 | + | 9.95733i | −1.01035 | + | 0.734064i | ||||
\(185\) | 3.60931 | − | 1.19808i | 0.265362 | − | 0.0880845i | ||||
\(186\) | 3.24316 | + | 14.7184i | 0.237800 | + | 1.07921i | ||||
\(187\) | 13.2037i | 0.965554i | ||||||||
\(188\) | 33.2680 | + | 45.7894i | 2.42632 | + | 3.33954i | ||||
\(189\) | 15.8406 | − | 7.05269i | 1.15223 | − | 0.513008i | ||||
\(190\) | −0.0156743 | − | 2.47308i | −0.00113713 | − | 0.179416i | ||||
\(191\) | −11.6568 | − | 20.1901i | −0.843453 | − | 1.46090i | −0.886958 | − | 0.461850i | \(-0.847186\pi\) |
0.0435052 | − | 0.999053i | \(-0.486147\pi\) | |||||||
\(192\) | −2.08456 | − | 1.20352i | −0.150440 | − | 0.0868569i | ||||
\(193\) | −0.782799 | + | 0.704836i | −0.0563471 | + | 0.0507352i | −0.696823 | − | 0.717243i | \(-0.745404\pi\) |
0.640476 | + | 0.767978i | \(0.278737\pi\) | |||||||
\(194\) | 13.6006 | + | 41.8583i | 0.976464 | + | 3.00525i | ||||
\(195\) | −12.4923 | − | 5.46731i | −0.894590 | − | 0.391522i | ||||
\(196\) | 16.4888 | + | 7.34126i | 1.17777 | + | 0.524376i | ||||
\(197\) | 1.14110 | + | 5.36843i | 0.0812997 | + | 0.382485i | 0.999920 | − | 0.0126567i | \(-0.00402887\pi\) |
−0.918620 | + | 0.395142i | \(0.870696\pi\) | |||||||
\(198\) | −10.0624 | + | 1.05760i | −0.715105 | + | 0.0751605i | ||||
\(199\) | 2.06289 | − | 19.6271i | 0.146235 | − | 1.39133i | −0.637603 | − | 0.770365i | \(-0.720074\pi\) |
0.783838 | − | 0.620966i | \(-0.213259\pi\) | |||||||
\(200\) | −12.5673 | − | 27.2903i | −0.888641 | − | 1.92971i | ||||
\(201\) | 5.08174 | + | 3.69210i | 0.358438 | + | 0.260421i | ||||
\(202\) | −6.99402 | + | 9.62644i | −0.492097 | + | 0.677314i | ||||
\(203\) | 0.430436 | − | 2.02504i | 0.0302107 | − | 0.142130i | ||||
\(204\) | 2.99361 | − | 28.4823i | 0.209595 | − | 1.99416i | ||||
\(205\) | 12.1562 | − | 5.50485i | 0.849023 | − | 0.384475i | ||||
\(206\) | 22.1823 | − | 4.71500i | 1.54551 | − | 0.328509i | ||||
\(207\) | −2.12287 | + | 4.76805i | −0.147550 | + | 0.331402i | ||||
\(208\) | −27.1411 | − | 24.4380i | −1.88190 | − | 1.69447i | ||||
\(209\) | −0.292808 | − | 0.901170i | −0.0202540 | − | 0.0623353i | ||||
\(210\) | 17.5450 | + | 9.98189i | 1.21072 | + | 0.688816i | ||||
\(211\) | −6.22352 | + | 10.7795i | −0.428445 | + | 0.742089i | −0.996735 | − | 0.0807396i | \(-0.974272\pi\) |
0.568290 | + | 0.822828i | \(0.307605\pi\) | |||||||
\(212\) | 27.3793 | − | 15.8075i | 1.88042 | − | 1.08566i | ||||
\(213\) | −3.52272 | − | 1.14460i | −0.241373 | − | 0.0784268i | ||||
\(214\) | 13.3663 | − | 5.95106i | 0.913702 | − | 0.406806i | ||||
\(215\) | 4.41499 | − | 6.15842i | 0.301100 | − | 0.420000i | ||||
\(216\) | 31.2434 | 2.12584 | ||||||||
\(217\) | −1.80342 | + | 18.4802i | −0.122424 | + | 1.25452i | ||||
\(218\) | − | 1.56470i | − | 0.105975i | ||||||
\(219\) | −6.49932 | + | 4.72203i | −0.439183 | + | 0.319085i | ||||
\(220\) | −14.2772 | − | 15.6557i | −0.962567 | − | 1.05551i | ||||
\(221\) | −10.7294 | + | 33.0217i | −0.721737 | + | 2.22128i | ||||
\(222\) | −3.98698 | + | 2.30188i | −0.267588 | + | 0.154492i | ||||
\(223\) | 16.8534 | + | 9.73030i | 1.12859 | + | 0.651589i | 0.943579 | − | 0.331148i | \(-0.107436\pi\) |
0.185006 | + | 0.982737i | \(0.440769\pi\) | |||||||
\(224\) | 9.35752 | + | 10.3926i | 0.625226 | + | 0.694384i | ||||
\(225\) | −7.55720 | − | 5.34560i | −0.503814 | − | 0.356373i | ||||
\(226\) | 0.543929 | − | 0.604094i | 0.0361816 | − | 0.0401838i | ||||
\(227\) | 1.10777 | − | 2.48810i | 0.0735254 | − | 0.165141i | −0.873044 | − | 0.487642i | \(-0.837857\pi\) |
0.946569 | + | 0.322501i | \(0.104524\pi\) | |||||||
\(228\) | 0.427310 | + | 2.01034i | 0.0282993 | + | 0.133138i | ||||
\(229\) | 1.55017 | + | 14.7489i | 0.102438 | + | 0.974636i | 0.918165 | + | 0.396198i | \(0.129671\pi\) |
−0.815727 | + | 0.578438i | \(0.803663\pi\) | |||||||
\(230\) | −15.5525 | + | 3.40895i | −1.02550 | + | 0.224779i | ||||
\(231\) | 7.56491 | + | 1.60797i | 0.497735 | + | 0.105797i | ||||
\(232\) | 2.19263 | − | 3.01789i | 0.143953 | − | 0.198134i | ||||
\(233\) | −7.44703 | + | 10.2500i | −0.487871 | + | 0.671497i | −0.979994 | − | 0.199029i | \(-0.936221\pi\) |
0.492122 | + | 0.870526i | \(0.336221\pi\) | |||||||
\(234\) | −26.0248 | − | 5.53175i | −1.70130 | − | 0.361622i | ||||
\(235\) | 6.18777 | + | 28.2302i | 0.403646 | + | 1.84154i | ||||
\(236\) | 3.85148 | + | 36.6444i | 0.250710 | + | 2.38535i | ||||
\(237\) | −0.759653 | − | 3.57389i | −0.0493448 | − | 0.232149i | ||||
\(238\) | 20.9053 | − | 46.9540i | 1.35509 | − | 3.04357i | ||||
\(239\) | −15.9261 | + | 17.6878i | −1.03018 | + | 1.14413i | −0.0407374 | + | 0.999170i | \(0.512971\pi\) |
−0.989438 | + | 0.144956i | \(0.953696\pi\) | |||||||
\(240\) | 9.12012 | + | 12.3869i | 0.588701 | + | 0.799571i | ||||
\(241\) | 0.846449 | + | 0.940077i | 0.0545246 | + | 0.0605557i | 0.769790 | − | 0.638297i | \(-0.220361\pi\) |
−0.715265 | + | 0.698853i | \(0.753694\pi\) | |||||||
\(242\) | 13.8193 | + | 7.97855i | 0.888335 | + | 0.512881i | ||||
\(243\) | 13.4914 | − | 7.78926i | 0.865473 | − | 0.499681i | ||||
\(244\) | 8.66014 | − | 26.6532i | 0.554409 | − | 1.70629i | ||||
\(245\) | 6.21016 | + | 6.80978i | 0.396752 | + | 0.435061i | ||||
\(246\) | −13.0693 | + | 9.49537i | −0.833266 | + | 0.605403i | ||||
\(247\) | − | 2.49170i | − | 0.158543i | ||||||
\(248\) | −16.5122 | + | 29.0979i | −1.04853 | + | 1.84772i | ||||
\(249\) | 1.21483 | 0.0769869 | ||||||||
\(250\) | −0.536877 | − | 28.2330i | −0.0339551 | − | 1.78561i | ||||
\(251\) | 10.1070 | − | 4.49994i | 0.637950 | − | 0.284034i | −0.0621628 | − | 0.998066i | \(-0.519800\pi\) |
0.700113 | + | 0.714032i | \(0.253133\pi\) | |||||||
\(252\) | 25.7138 | + | 8.35491i | 1.61982 | + | 0.526310i | ||||
\(253\) | −5.28292 | + | 3.05010i | −0.332135 | + | 0.191758i | ||||
\(254\) | −3.98596 | + | 6.90389i | −0.250102 | + | 0.433189i | ||||
\(255\) | 7.23144 | − | 12.7106i | 0.452850 | − | 0.795968i | ||||
\(256\) | −9.58495 | − | 29.4995i | −0.599060 | − | 1.84372i | ||||
\(257\) | 4.55811 | + | 4.10414i | 0.284327 | + | 0.256009i | 0.798936 | − | 0.601415i | \(-0.205396\pi\) |
−0.514609 | + | 0.857425i | \(0.672063\pi\) | |||||||
\(258\) | −3.73104 | + | 8.38004i | −0.232284 | + | 0.521719i | ||||
\(259\) | −5.54786 | + | 1.17923i | −0.344727 | + | 0.0732740i | ||||
\(260\) | −22.9844 | − | 50.7556i | −1.42543 | − | 3.14773i | ||||
\(261\) | 0.120134 | − | 1.14300i | 0.00743613 | − | 0.0707500i | ||||
\(262\) | 3.44216 | − | 16.1941i | 0.212658 | − | 1.00048i | ||||
\(263\) | −0.194569 | + | 0.267801i | −0.0119976 | + | 0.0165133i | −0.814974 | − | 0.579498i | \(-0.803249\pi\) |
0.802976 | + | 0.596011i | \(0.203249\pi\) | |||||||
\(264\) | 11.2739 | + | 8.19095i | 0.693859 | + | 0.504118i | ||||
\(265\) | 16.0437 | − | 1.78914i | 0.985557 | − | 0.109906i | ||||
\(266\) | −0.385550 | + | 3.66826i | −0.0236396 | + | 0.224915i | ||||
\(267\) | −17.4967 | + | 1.83898i | −1.07078 | + | 0.112544i | ||||
\(268\) | 5.33614 | + | 25.1046i | 0.325957 | + | 1.53351i | ||||
\(269\) | −0.969550 | − | 0.431672i | −0.0591145 | − | 0.0263195i | 0.376966 | − | 0.926227i | \(-0.376967\pi\) |
−0.436081 | + | 0.899907i | \(0.643634\pi\) | |||||||
\(270\) | 26.9010 | + | 11.7734i | 1.63714 | + | 0.716505i | ||||
\(271\) | −6.79718 | − | 20.9196i | −0.412899 | − | 1.27077i | −0.914117 | − | 0.405452i | \(-0.867114\pi\) |
0.501217 | − | 0.865321i | \(-0.332886\pi\) | |||||||
\(272\) | 29.1064 | − | 26.2075i | 1.76484 | − | 1.58906i | ||||
\(273\) | 17.6127 | + | 10.1687i | 1.06597 | + | 0.615438i | ||||
\(274\) | 14.0589 | + | 24.3507i | 0.849329 | + | 1.47108i | ||||
\(275\) | −3.47343 | − | 10.2463i | −0.209456 | − | 0.617878i | ||||
\(276\) | 12.0875 | − | 5.38171i | 0.727584 | − | 0.323941i | ||||
\(277\) | −11.5640 | − | 15.9165i | −0.694813 | − | 0.956328i | −0.999992 | − | 0.00403308i | \(-0.998716\pi\) |
0.305179 | − | 0.952295i | \(-0.401284\pi\) | |||||||
\(278\) | − | 38.8464i | − | 2.32985i | ||||||
\(279\) | 0.0767035 | + | 10.3076i | 0.00459212 | + | 0.617097i | ||||
\(280\) | 14.1167 | + | 42.5277i | 0.843634 | + | 2.54152i | ||||
\(281\) | −18.3198 | + | 13.3101i | −1.09286 | + | 0.794013i | −0.979881 | − | 0.199584i | \(-0.936041\pi\) |
−0.112984 | + | 0.993597i | \(0.536041\pi\) | |||||||
\(282\) | −14.2301 | − | 31.9614i | −0.847391 | − | 1.90327i | ||||
\(283\) | −17.8036 | − | 5.78473i | −1.05831 | − | 0.343867i | −0.272387 | − | 0.962188i | \(-0.587813\pi\) |
−0.785926 | + | 0.618321i | \(0.787813\pi\) | |||||||
\(284\) | −7.56720 | − | 13.1068i | −0.449031 | − | 0.777744i | ||||
\(285\) | −0.211682 | + | 1.02788i | −0.0125390 | + | 0.0608862i | ||||
\(286\) | −20.8079 | − | 23.1095i | −1.23040 | − | 1.36649i | ||||
\(287\) | −18.9281 | + | 6.15012i | −1.11729 | + | 0.363030i | ||||
\(288\) | 5.76934 | + | 5.19474i | 0.339962 | + | 0.306103i | ||||
\(289\) | −18.4858 | − | 8.23041i | −1.08740 | − | 0.484142i | ||||
\(290\) | 3.02511 | − | 1.77221i | 0.177641 | − | 0.104068i | ||||
\(291\) | −1.95220 | − | 18.5739i | −0.114440 | − | 1.08882i | ||||
\(292\) | −32.6451 | − | 3.43114i | −1.91041 | − | 0.200792i | ||||
\(293\) | 3.77002 | − | 17.7365i | 0.220247 | − | 1.03618i | −0.719548 | − | 0.694442i | \(-0.755651\pi\) |
0.939795 | − | 0.341738i | \(-0.111016\pi\) | |||||||
\(294\) | −9.02616 | − | 6.55789i | −0.526416 | − | 0.382464i | ||||
\(295\) | −5.70044 | + | 17.9300i | −0.331892 | + | 1.04393i | ||||
\(296\) | −9.99635 | − | 2.12479i | −0.581026 | − | 0.123501i | ||||
\(297\) | 11.1890 | + | 1.17601i | 0.649252 | + | 0.0682392i | ||||
\(298\) | −45.1005 | + | 4.74025i | −2.61260 | + | 0.274595i | ||||
\(299\) | −15.6908 | + | 3.33517i | −0.907420 | + | 0.192878i | ||||
\(300\) | 5.16958 | + | 22.8903i | 0.298466 | + | 1.32157i | ||||
\(301\) | −7.56197 | + | 8.39842i | −0.435865 | + | 0.484077i | ||||
\(302\) | −16.0151 | + | 5.20362i | −0.921566 | + | 0.299435i | ||||
\(303\) | 3.75228 | − | 3.37857i | 0.215563 | − | 0.194094i | ||||
\(304\) | −1.40536 | + | 2.43416i | −0.0806031 | + | 0.139609i | ||||
\(305\) | 9.50765 | − | 10.6949i | 0.544407 | − | 0.612386i | ||||
\(306\) | 8.81713 | − | 27.1363i | 0.504042 | − | 1.55128i | ||||
\(307\) | 7.19056 | + | 16.1503i | 0.410387 | + | 0.921744i | 0.993966 | + | 0.109688i | \(0.0349850\pi\) |
−0.583579 | + | 0.812056i | \(0.698348\pi\) | |||||||
\(308\) | 18.5743 | + | 25.5653i | 1.05837 | + | 1.45672i | ||||
\(309\) | −9.62314 | −0.547441 | ||||||||
\(310\) | −25.1822 | + | 18.8315i | −1.43025 | + | 1.06956i | ||||
\(311\) | 16.4095 | 0.930498 | 0.465249 | − | 0.885180i | \(-0.345965\pi\) | ||||
0.465249 | + | 0.885180i | \(0.345965\pi\) | |||||||
\(312\) | 21.5392 | + | 29.6462i | 1.21942 | + | 1.67839i | ||||
\(313\) | 1.88989 | + | 4.24476i | 0.106823 | + | 0.239928i | 0.959046 | − | 0.283251i | \(-0.0914128\pi\) |
−0.852223 | + | 0.523178i | \(0.824746\pi\) | |||||||
\(314\) | −9.26382 | + | 28.5111i | −0.522787 | + | 1.60897i | ||||
\(315\) | 10.3179 | + | 9.17256i | 0.581349 | + | 0.516815i | ||||
\(316\) | 7.46448 | − | 12.9289i | 0.419910 | − | 0.727305i | ||||
\(317\) | 7.57185 | − | 6.81772i | 0.425277 | − | 0.382921i | −0.428515 | − | 0.903534i | \(-0.640963\pi\) |
0.853793 | + | 0.520613i | \(0.174297\pi\) | |||||||
\(318\) | −18.5860 | + | 6.03896i | −1.04225 | + | 0.338648i | ||||
\(319\) | 0.898828 | − | 0.998250i | 0.0503247 | − | 0.0558913i | ||||
\(320\) | 0.493275 | − | 4.99769i | 0.0275749 | − | 0.279379i | ||||
\(321\) | −6.07295 | + | 1.29085i | −0.338959 | + | 0.0720480i | ||||
\(322\) | 23.6158 | − | 2.48212i | 1.31606 | − | 0.138323i | ||||
\(323\) | 2.65749 | + | 0.279314i | 0.147867 | + | 0.0155414i | ||||
\(324\) | −0.0792509 | − | 0.0168453i | −0.00440283 | − | 0.000935850i | ||||
\(325\) | −0.360618 | − | 28.4480i | −0.0200035 | − | 1.57801i | ||||
\(326\) | 7.07876 | + | 5.14302i | 0.392056 | + | 0.284846i | ||||
\(327\) | −0.138046 | + | 0.649458i | −0.00763399 | + | 0.0359151i | ||||
\(328\) | −35.6642 | − | 3.74845i | −1.96922 | − | 0.206974i | ||||
\(329\) | −4.50545 | − | 42.8664i | −0.248393 | − | 2.36330i | ||||
\(330\) | 6.62040 | + | 11.3009i | 0.364441 | + | 0.622091i | ||||
\(331\) | 14.3511 | + | 6.38953i | 0.788809 | + | 0.351200i | 0.761282 | − | 0.648421i | \(-0.224570\pi\) |
0.0275267 | + | 0.999621i | \(0.491237\pi\) | |||||||
\(332\) | 3.68878 | + | 3.32140i | 0.202448 | + | 0.182285i | ||||
\(333\) | −2.99454 | + | 0.972985i | −0.164100 | + | 0.0533192i | ||||
\(334\) | −14.8472 | − | 16.4895i | −0.812403 | − | 0.902265i | ||||
\(335\) | −2.64343 | + | 12.8359i | −0.144426 | + | 0.701298i | ||||
\(336\) | −11.4706 | − | 19.8677i | −0.625775 | − | 1.08387i | ||||
\(337\) | −2.39334 | − | 0.777642i | −0.130373 | − | 0.0423609i | 0.243104 | − | 0.970000i | \(-0.421835\pi\) |
−0.373477 | + | 0.927639i | \(0.621835\pi\) | |||||||
\(338\) | −19.9055 | − | 44.7085i | −1.08272 | − | 2.43182i | ||||
\(339\) | −0.279064 | + | 0.202752i | −0.0151567 | + | 0.0110120i | ||||
\(340\) | 56.7091 | − | 18.8241i | 3.07548 | − | 1.02088i | ||||
\(341\) | −7.00868 | + | 9.79915i | −0.379542 | + | 0.530654i | ||||
\(342\) | 2.04761i | 0.110722i | ||||||||
\(343\) | 5.64221 | + | 7.76584i | 0.304651 | + | 0.419316i | ||||
\(344\) | −18.6025 | + | 8.28235i | −1.00298 | + | 0.446554i | ||||
\(345\) | 6.75609 | − | 0.0428198i | 0.363735 | − | 0.00230534i | ||||
\(346\) | 25.5454 | + | 44.2459i | 1.37333 | + | 2.37867i | ||||
\(347\) | 27.2323 | + | 15.7225i | 1.46190 | + | 0.844031i | 0.999099 | − | 0.0424297i | \(-0.0135098\pi\) |
0.462805 | + | 0.886460i | \(0.346843\pi\) | |||||||
\(348\) | −2.16522 | + | 1.94958i | −0.116068 | + | 0.104508i | ||||
\(349\) | 6.82865 | + | 21.0164i | 0.365529 | + | 1.12498i | 0.949649 | + | 0.313316i | \(0.101440\pi\) |
−0.584120 | + | 0.811668i | \(0.698560\pi\) | |||||||
\(350\) | −3.87095 | + | 41.9366i | −0.206911 | + | 2.24160i | ||||
\(351\) | 27.0273 | + | 12.0333i | 1.44261 | + | 0.642292i | ||||
\(352\) | 1.88654 | + | 8.87545i | 0.100553 | + | 0.473063i | ||||
\(353\) | 27.5612 | − | 2.89680i | 1.46694 | − | 0.154181i | 0.662876 | − | 0.748729i | \(-0.269335\pi\) |
0.804060 | + | 0.594548i | \(0.202669\pi\) | |||||||
\(354\) | 2.38076 | − | 22.6514i | 0.126536 | − | 1.20391i | ||||
\(355\) | −0.856479 | − | 7.68030i | −0.0454572 | − | 0.407628i | ||||
\(356\) | −58.1559 | − | 42.2527i | −3.08226 | − | 2.23939i | ||||
\(357\) | −12.8196 | + | 17.6447i | −0.678486 | + | 0.933856i | ||||
\(358\) | −5.13646 | + | 24.1651i | −0.271470 | + | 1.27717i | ||||
\(359\) | 0.438079 | − | 4.16804i | 0.0231209 | − | 0.219981i | −0.976860 | − | 0.213878i | \(-0.931391\pi\) |
0.999981 | − | 0.00610321i | \(-0.00194273\pi\) | |||||||
\(360\) | 10.2616 | + | 22.6603i | 0.540834 | + | 1.19430i | ||||
\(361\) | 18.3972 | − | 3.91045i | 0.968275 | − | 0.205813i | ||||
\(362\) | −16.8840 | + | 37.9222i | −0.887405 | + | 1.99315i | ||||
\(363\) | −5.03201 | − | 4.53084i | −0.264112 | − | 0.237808i | ||||
\(364\) | 25.6786 | + | 79.0306i | 1.34592 | + | 4.14233i | ||||
\(365\) | −14.5683 | − | 8.28834i | −0.762539 | − | 0.433832i | ||||
\(366\) | −8.66164 | + | 15.0024i | −0.452751 | + | 0.784188i | ||||
\(367\) | −16.3575 | + | 9.44403i | −0.853857 | + | 0.492974i | −0.861950 | − | 0.506993i | \(-0.830757\pi\) |
0.00809346 | + | 0.999967i | \(0.497424\pi\) | |||||||
\(368\) | 17.2095 | + | 5.59170i | 0.897107 | + | 0.291488i | ||||
\(369\) | −10.0933 | + | 4.49384i | −0.525437 | + | 0.233940i | ||||
\(370\) | −7.80633 | − | 5.59639i | −0.405832 | − | 0.290942i | ||||
\(371\) | −24.0762 | −1.24997 | ||||||||
\(372\) | 17.3404 | − | 19.5491i | 0.899058 | − | 1.01357i | ||||
\(373\) | − | 0.234108i | − | 0.0121216i | −0.999982 | − | 0.00606082i | \(-0.998071\pi\) | ||
0.999982 | − | 0.00606082i | \(-0.00192923\pi\) | |||||||
\(374\) | 26.9796 | − | 19.6018i | 1.39508 | − | 1.01359i | ||||
\(375\) | −2.26803 | + | 11.7660i | −0.117120 | + | 0.607592i | ||||
\(376\) | 23.9995 | − | 73.8628i | 1.23768 | − | 3.80918i | ||||
\(377\) | 3.05909 | − | 1.76617i | 0.157551 | − | 0.0909622i | ||||
\(378\) | −37.9274 | − | 21.8974i | −1.95077 | − | 1.12628i | ||||
\(379\) | −2.32902 | − | 2.58664i | −0.119634 | − | 0.132867i | 0.680353 | − | 0.732885i | \(-0.261827\pi\) |
−0.799986 | + | 0.600018i | \(0.795160\pi\) | |||||||
\(380\) | −3.45301 | + | 2.54235i | −0.177136 | + | 0.130420i | ||||
\(381\) | 2.26354 | − | 2.51392i | 0.115965 | − | 0.128792i | ||||
\(382\) | −23.9498 | + | 53.7921i | −1.22538 | + | 2.75224i | ||||
\(383\) | −2.52407 | − | 11.8748i | −0.128974 | − | 0.606776i | −0.994395 | − | 0.105730i | \(-0.966282\pi\) |
0.865421 | − | 0.501046i | \(-0.167051\pi\) | |||||||
\(384\) | 1.57504 | + | 14.9855i | 0.0803759 | + | 0.764726i | ||||
\(385\) | 3.45478 | + | 15.7616i | 0.176072 | + | 0.803284i | ||||
\(386\) | 2.60233 | + | 0.553142i | 0.132455 | + | 0.0281542i | ||||
\(387\) | −3.68761 | + | 5.07556i | −0.187452 | + | 0.258005i | ||||
\(388\) | 44.8540 | − | 61.7362i | 2.27712 | − | 3.13418i | ||||
\(389\) | 33.4352 | + | 7.10687i | 1.69523 | + | 0.360332i | 0.951382 | − | 0.308015i | \(-0.0996647\pi\) |
0.743849 | + | 0.668347i | \(0.232998\pi\) | |||||||
\(390\) | 7.37408 | + | 33.6424i | 0.373401 | + | 1.70355i | ||||
\(391\) | −1.79819 | − | 17.1086i | −0.0909383 | − | 0.865220i | ||||
\(392\) | −5.14930 | − | 24.2256i | −0.260079 | − | 1.22358i | ||||
\(393\) | −2.85746 | + | 6.41796i | −0.144140 | + | 0.323743i | ||||
\(394\) | 9.27545 | − | 10.3014i | 0.467290 | − | 0.518978i | ||||
\(395\) | 6.13862 | − | 4.51968i | 0.308867 | − | 0.227410i | ||||
\(396\) | 11.7383 | + | 13.0367i | 0.589873 | + | 0.655121i | ||||
\(397\) | −14.7005 | − | 8.48731i | −0.737795 | − | 0.425966i | 0.0834722 | − | 0.996510i | \(-0.473399\pi\) |
−0.821267 | + | 0.570544i | \(0.806732\pi\) | |||||||
\(398\) | −43.1672 | + | 24.9226i | −2.16378 | + | 1.24926i | ||||
\(399\) | 0.483662 | − | 1.48856i | 0.0242134 | − | 0.0745212i | ||||
\(400\) | −15.6928 | + | 27.9944i | −0.784642 | + | 1.39972i | ||||
\(401\) | 3.54895 | − | 2.57846i | 0.177226 | − | 0.128762i | −0.495636 | − | 0.868531i | \(-0.665065\pi\) |
0.672862 | + | 0.739768i | \(0.265065\pi\) | |||||||
\(402\) | − | 15.8648i | − | 0.791267i | ||||||
\(403\) | −25.4911 | + | 18.8117i | −1.26980 | + | 0.937080i | ||||
\(404\) | 20.6308 | 1.02642 | ||||||||
\(405\) | −0.0336233 | − | 0.0241047i | −0.00167076 | − | 0.00119777i | ||||
\(406\) | −4.77684 | + | 2.12679i | −0.237071 | + | 0.105551i | ||||
\(407\) | −3.49996 | − | 1.13721i | −0.173487 | − | 0.0563692i | ||||
\(408\) | −34.0332 | + | 19.6491i | −1.68490 | + | 0.972776i | ||||
\(409\) | 5.06723 | − | 8.77670i | 0.250558 | − | 0.433980i | −0.713121 | − | 0.701041i | \(-0.752719\pi\) |
0.963680 | + | 0.267061i | \(0.0860525\pi\) | |||||||
\(410\) | −29.2949 | − | 16.6667i | −1.44677 | − | 0.823111i | ||||
\(411\) | −3.68704 | − | 11.3475i | −0.181868 | − | 0.559733i | ||||
\(412\) | −29.2202 | − | 26.3100i | −1.43958 | − | 1.29620i | ||||
\(413\) | 11.4131 | − | 25.6342i | 0.561600 | − | 1.26137i | ||||
\(414\) | 12.8942 | − | 2.74076i | 0.633717 | − | 0.134701i | ||||
\(415\) | 1.04556 | + | 2.30888i | 0.0513246 | + | 0.113338i | ||||
\(416\) | −2.49411 | + | 23.7299i | −0.122284 | + | 1.16345i | ||||
\(417\) | −3.42723 | + | 16.1239i | −0.167832 | + | 0.789589i | ||||
\(418\) | −1.40670 | + | 1.93615i | −0.0688037 | + | 0.0947002i | ||||
\(419\) | 23.3537 | + | 16.9674i | 1.14090 | + | 0.828914i | 0.987245 | − | 0.159211i | \(-0.0508949\pi\) |
0.153657 | + | 0.988124i | \(0.450895\pi\) | |||||||
\(420\) | −3.87890 | − | 34.7832i | −0.189271 | − | 1.69725i | ||||
\(421\) | −1.37093 | + | 13.0435i | −0.0668151 | + | 0.635703i | 0.908953 | + | 0.416898i | \(0.136883\pi\) |
−0.975769 | + | 0.218805i | \(0.929784\pi\) | |||||||
\(422\) | 31.2652 | − | 3.28611i | 1.52197 | − | 0.159965i | ||||
\(423\) | −4.97490 | − | 23.4051i | −0.241888 | − | 1.13799i | ||||
\(424\) | −39.6309 | − | 17.6448i | −1.92465 | − | 0.856908i | ||||
\(425\) | 30.3812 | + | 2.80433i | 1.47370 | + | 0.136030i | ||||
\(426\) | 2.89091 | + | 8.89732i | 0.140065 | + | 0.431077i | ||||
\(427\) | −15.8603 | + | 14.2807i | −0.767534 | + | 0.691091i | ||||
\(428\) | −21.9695 | − | 12.6841i | −1.06193 | − | 0.613108i | ||||
\(429\) | 6.59783 | + | 11.4278i | 0.318546 | + | 0.551738i | ||||
\(430\) | −19.1380 | + | 0.121296i | −0.922918 | + | 0.00584941i | ||||
\(431\) | −10.8310 | + | 4.82227i | −0.521711 | + | 0.232281i | −0.650658 | − | 0.759371i | \(-0.725507\pi\) |
0.128947 | + | 0.991651i | \(0.458840\pi\) | |||||||
\(432\) | −19.6162 | − | 26.9993i | −0.943783 | − | 1.29901i | ||||
\(433\) | 9.34095i | 0.448897i | 0.974486 | + | 0.224449i | \(0.0720581\pi\) | ||||
−0.974486 | + | 0.224449i | \(0.927942\pi\) | |||||||
\(434\) | 40.4385 | − | 23.7501i | 1.94111 | − | 1.14004i | ||||
\(435\) | −1.41198 | + | 0.468694i | −0.0676992 | + | 0.0224722i | ||||
\(436\) | −2.19481 | + | 1.59462i | −0.105112 | + | 0.0763687i | ||||
\(437\) | 0.502131 | + | 1.12781i | 0.0240202 | + | 0.0539503i | ||||
\(438\) | 19.2974 | + | 6.27009i | 0.922063 | + | 0.299596i | ||||
\(439\) | −6.32026 | − | 10.9470i | −0.301649 | − | 0.522472i | 0.674860 | − | 0.737946i | \(-0.264204\pi\) |
−0.976510 | + | 0.215473i | \(0.930871\pi\) | |||||||
\(440\) | −5.86447 | + | 28.4765i | −0.279578 | + | 1.35756i | ||||
\(441\) | −5.10584 | − | 5.67060i | −0.243135 | − | 0.270029i | ||||
\(442\) | 83.4027 | − | 27.0992i | 3.96706 | − | 1.28898i | ||||
\(443\) | 6.42608 | + | 5.78606i | 0.305312 | + | 0.274904i | 0.807517 | − | 0.589845i | \(-0.200811\pi\) |
−0.502205 | + | 0.864749i | \(0.667478\pi\) | |||||||
\(444\) | 7.29207 | + | 3.24664i | 0.346066 | + | 0.154079i | ||||
\(445\) | −18.5539 | − | 31.6710i | −0.879540 | − | 1.50135i | ||||
\(446\) | −5.13773 | − | 48.8823i | −0.243279 | − | 2.31464i | ||||
\(447\) | 19.1379 | + | 2.01148i | 0.905194 | + | 0.0951397i | ||||
\(448\) | −1.55723 | + | 7.32619i | −0.0735722 | + | 0.346130i | ||||
\(449\) | −7.47632 | − | 5.43186i | −0.352829 | − | 0.256346i | 0.397226 | − | 0.917721i | \(-0.369973\pi\) |
−0.750055 | + | 0.661375i | \(0.769973\pi\) | |||||||
\(450\) | 0.296347 | + | 23.3778i | 0.0139699 | + | 1.10204i | ||||
\(451\) | −12.6311 | − | 2.68483i | −0.594776 | − | 0.126424i | ||||
\(452\) | −1.40169 | − | 0.147324i | −0.0659301 | − | 0.00692954i | ||||
\(453\) | 7.10644 | − | 0.746917i | 0.333890 | − | 0.0350932i | ||||
\(454\) | −6.72856 | + | 1.43020i | −0.315787 | + | 0.0671226i | ||||
\(455\) | −4.16773 | + | 42.2260i | −0.195386 | + | 1.97959i | ||||
\(456\) | 1.88707 | − | 2.09580i | 0.0883699 | − | 0.0981448i | ||||
\(457\) | 23.6426 | − | 7.68195i | 1.10595 | − | 0.359346i | 0.301563 | − | 0.953446i | \(-0.402492\pi\) |
0.804391 | + | 0.594100i | \(0.202492\pi\) | |||||||
\(458\) | 27.8356 | − | 25.0633i | 1.30067 | − | 1.17113i | ||||
\(459\) | −15.8637 | + | 27.4767i | −0.740454 | + | 1.28250i | ||||
\(460\) | 20.6316 | + | 18.3414i | 0.961954 | + | 0.855170i | ||||
\(461\) | −1.61845 | + | 4.98109i | −0.0753789 | + | 0.231992i | −0.981646 | − | 0.190714i | \(-0.938920\pi\) |
0.906267 | + | 0.422706i | \(0.138920\pi\) | |||||||
\(462\) | −7.94500 | − | 17.8448i | −0.369635 | − | 0.830213i | ||||
\(463\) | 11.5143 | + | 15.8481i | 0.535117 | + | 0.736526i | 0.987899 | − | 0.155095i | \(-0.0495685\pi\) |
−0.452782 | + | 0.891621i | \(0.649569\pi\) | |||||||
\(464\) | −3.98459 | −0.184980 | ||||||||
\(465\) | 12.1137 | − | 5.59463i | 0.561760 | − | 0.259445i | ||||
\(466\) | 31.9997 | 1.48236 | ||||||||
\(467\) | −15.2066 | − | 20.9301i | −0.703677 | − | 0.968528i | −0.999910 | − | 0.0134123i | \(-0.995731\pi\) |
0.296233 | − | 0.955116i | \(-0.404269\pi\) | |||||||
\(468\) | 18.7631 | + | 42.1426i | 0.867325 | + | 1.94804i | ||||
\(469\) | 6.03985 | − | 18.5888i | 0.278894 | − | 0.858349i | ||||
\(470\) | 48.4975 | − | 54.5533i | 2.23702 | − | 2.51636i | ||||
\(471\) | 6.36051 | − | 11.0167i | 0.293077 | − | 0.507624i | ||||
\(472\) | 37.5732 | − | 33.8311i | 1.72945 | − | 1.55720i | ||||
\(473\) | −6.97375 | + | 2.26591i | −0.320653 | + | 0.104187i | ||||
\(474\) | −6.17487 | + | 6.85789i | −0.283621 | + | 0.314993i | ||||
\(475\) | −2.13574 | + | 0.482339i | −0.0979944 | + | 0.0221312i | ||||
\(476\) | −87.1674 | + | 18.5280i | −3.99531 | + | 0.849230i | ||||
\(477\) | −13.2924 | + | 1.39709i | −0.608619 | + | 0.0639684i | ||||
\(478\) | 59.7853 | + | 6.28369i | 2.73452 | + | 0.287409i | ||||
\(479\) | 24.3650 | + | 5.17893i | 1.11326 | + | 0.236631i | 0.727596 | − | 0.686006i | \(-0.240638\pi\) |
0.385668 | + | 0.922638i | \(0.373971\pi\) | |||||||
\(480\) | 3.04484 | − | 9.57717i | 0.138977 | − | 0.437136i | ||||
\(481\) | −7.82907 | − | 5.68815i | −0.356975 | − | 0.259358i | ||||
\(482\) | 0.664278 | − | 3.12518i | 0.0302570 | − | 0.142348i | ||||
\(483\) | −10.0211 | − | 1.05326i | −0.455978 | − | 0.0479252i | ||||
\(484\) | −2.89199 | − | 27.5154i | −0.131454 | − | 1.25070i | ||||
\(485\) | 33.6209 | − | 19.6962i | 1.52664 | − | 0.894357i | ||||
\(486\) | −35.9449 | − | 16.0037i | −1.63049 | − | 0.725942i | ||||
\(487\) | −29.4963 | − | 26.5586i | −1.33660 | − | 1.20348i | −0.960949 | − | 0.276724i | \(-0.910751\pi\) |
−0.375655 | − | 0.926760i | \(-0.622582\pi\) | |||||||
\(488\) | −36.5730 | + | 11.8833i | −1.65558 | + | 0.537931i | ||||
\(489\) | −2.48442 | − | 2.75923i | −0.112349 | − | 0.124777i | ||||
\(490\) | 4.69525 | − | 22.7990i | 0.212110 | − | 1.02995i | ||||
\(491\) | 11.4111 | + | 19.7647i | 0.514977 | + | 0.891967i | 0.999849 | + | 0.0173817i | \(0.00553304\pi\) |
−0.484871 | + | 0.874585i | \(0.661134\pi\) | |||||||
\(492\) | 26.6383 | + | 8.65532i | 1.20095 | + | 0.390212i | ||||
\(493\) | 1.54076 | + | 3.46061i | 0.0693925 | + | 0.155858i | ||||
\(494\) | −5.09137 | + | 3.69910i | −0.229072 | + | 0.166430i | ||||
\(495\) | 2.82199 | + | 8.50148i | 0.126839 | + | 0.382113i | ||||
\(496\) | 35.5125 | − | 3.99991i | 1.59456 | − | 0.179601i | ||||
\(497\) | 11.5255i | 0.516991i | ||||||||
\(498\) | −1.80350 | − | 2.48230i | −0.0808168 | − | 0.111235i | ||||
\(499\) | 1.51833 | − | 0.676004i | 0.0679698 | − | 0.0302621i | −0.372470 | − | 0.928044i | \(-0.621489\pi\) |
0.440440 | + | 0.897782i | \(0.354822\pi\) | |||||||
\(500\) | −39.0554 | + | 29.5260i | −1.74661 | + | 1.32044i | ||||
\(501\) | 4.70780 | + | 8.15416i | 0.210329 | + | 0.364301i | ||||
\(502\) | −24.1994 | − | 13.9715i | −1.08007 | − | 0.623580i | ||||
\(503\) | 0.571297 | − | 0.514398i | 0.0254729 | − | 0.0229359i | −0.656296 | − | 0.754504i | \(-0.727878\pi\) |
0.681769 | + | 0.731568i | \(0.261211\pi\) | |||||||
\(504\) | −11.4645 | − | 35.2840i | −0.510668 | − | 1.57167i | ||||
\(505\) | 9.65066 | + | 4.22367i | 0.429449 | + | 0.187951i | ||||
\(506\) | 14.0752 | + | 6.26669i | 0.625719 | + | 0.278588i | ||||
\(507\) | 4.31770 | + | 20.3132i | 0.191756 | + | 0.902140i | ||||
\(508\) | 13.7463 | − | 1.44479i | 0.609893 | − | 0.0641023i | ||||
\(509\) | 0.0171862 | − | 0.163516i | 0.000761764 | − | 0.00724770i | −0.994134 | − | 0.108152i | \(-0.965507\pi\) |
0.994896 | + | 0.100904i | \(0.0321735\pi\) | |||||||
\(510\) | −36.7075 | + | 4.09349i | −1.62543 | + | 0.181263i | ||||
\(511\) | 20.2235 | + | 14.6933i | 0.894636 | + | 0.649991i | ||||
\(512\) | −29.5200 | + | 40.6308i | −1.30461 | + | 1.79565i | ||||
\(513\) | 0.473387 | − | 2.22711i | 0.0209006 | − | 0.0983294i | ||||
\(514\) | 1.61930 | − | 15.4066i | 0.0714242 | − | 0.679556i | ||||
\(515\) | −8.28228 | − | 18.2894i | −0.364961 | − | 0.805929i | ||||
\(516\) | 15.5571 | − | 3.30676i | 0.684862 | − | 0.145572i | ||||
\(517\) | 11.3750 | − | 25.5487i | 0.500273 | − | 1.12363i | ||||
\(518\) | 10.6457 | + | 9.58546i | 0.467747 | + | 0.421161i | ||||
\(519\) | −6.69945 | − | 20.6188i | −0.294073 | − | 0.905064i | ||||
\(520\) | −37.8067 | + | 66.4522i | −1.65793 | + | 2.91412i | ||||
\(521\) | 2.41475 | − | 4.18247i | 0.105792 | − | 0.183238i | −0.808269 | − | 0.588813i | \(-0.799595\pi\) |
0.914062 | + | 0.405575i | \(0.132929\pi\) | |||||||
\(522\) | −2.51388 | + | 1.45139i | −0.110029 | + | 0.0635255i | ||||
\(523\) | 30.8190 | + | 10.0137i | 1.34762 | + | 0.437868i | 0.891891 | − | 0.452251i | \(-0.149379\pi\) |
0.455728 | + | 0.890119i | \(0.349379\pi\) | |||||||
\(524\) | −26.2235 | + | 11.6754i | −1.14558 | + | 0.510044i | ||||
\(525\) | 5.30657 | − | 17.0650i | 0.231598 | − | 0.744777i | ||||
\(526\) | 0.836056 | 0.0364538 | ||||||||
\(527\) | −17.2059 | − | 29.2959i | −0.749501 | − | 1.27615i | ||||
\(528\) | − | 14.8852i | − | 0.647793i | ||||||
\(529\) | −12.1775 | + | 8.84746i | −0.529456 | + | 0.384672i | ||||
\(530\) | −27.4738 | − | 30.1265i | −1.19338 | − | 1.30861i | ||||
\(531\) | 4.81364 | − | 14.8149i | 0.208894 | − | 0.642911i | ||||
\(532\) | 5.53839 | − | 3.19759i | 0.240120 | − | 0.138633i | ||||
\(533\) | −29.4079 | − | 16.9786i | −1.27380 | − | 0.735427i | ||||
\(534\) | 29.7327 | + | 33.0215i | 1.28666 | + | 1.42898i | ||||
\(535\) | −7.68011 | − | 10.4311i | −0.332040 | − | 0.450976i | ||||
\(536\) | 23.5652 | − | 26.1718i | 1.01786 | − | 1.13045i | ||||
\(537\) | 4.26395 | − | 9.57700i | 0.184003 | − | 0.413278i | ||||
\(538\) | 0.557314 | + | 2.62196i | 0.0240275 | + | 0.113041i | ||||
\(539\) | −0.932231 | − | 8.86959i | −0.0401541 | − | 0.382040i | ||||
\(540\) | −10.9009 | − | 49.7326i | −0.469099 | − | 2.14015i | ||||
\(541\) | 22.9968 | + | 4.88812i | 0.988709 | + | 0.210157i | 0.673759 | − | 0.738951i | \(-0.264679\pi\) |
0.314951 | + | 0.949108i | \(0.398012\pi\) | |||||||
\(542\) | −32.6547 | + | 44.9454i | −1.40264 | + | 1.93057i | ||||
\(543\) | 10.3537 | − | 14.2507i | 0.444320 | − | 0.611554i | ||||
\(544\) | −25.0292 | − | 5.32012i | −1.07312 | − | 0.228098i | ||||
\(545\) | −1.35315 | + | 0.296597i | −0.0579626 | + | 0.0127048i | ||||
\(546\) | −5.36922 | − | 51.0847i | −0.229781 | − | 2.18622i | ||||
\(547\) | 2.37990 | + | 11.1965i | 0.101757 | + | 0.478730i | 0.999286 | + | 0.0377745i | \(0.0120268\pi\) |
−0.897529 | + | 0.440955i | \(0.854640\pi\) | |||||||
\(548\) | 19.8291 | − | 44.5368i | 0.847055 | − | 1.90252i | ||||
\(549\) | −7.92778 | + | 8.80469i | −0.338350 | + | 0.375775i | ||||
\(550\) | −15.7801 | + | 22.3088i | −0.672867 | + | 0.951249i | ||||
\(551\) | −0.181902 | − | 0.202022i | −0.00774928 | − | 0.00860644i | ||||
\(552\) | −15.7235 | − | 9.07798i | −0.669238 | − | 0.386385i | ||||
\(553\) | −9.84591 | + | 5.68454i | −0.418691 | + | 0.241731i | ||||
\(554\) | −15.3551 | + | 47.2581i | −0.652375 | + | 2.00781i | ||||
\(555\) | 2.74641 | + | 3.01159i | 0.116579 | + | 0.127835i | ||||
\(556\) | −54.4898 | + | 39.5892i | −2.31088 | + | 1.67896i | ||||
\(557\) | 28.8909i | 1.22415i | 0.790801 | + | 0.612073i | \(0.209664\pi\) | ||||
−0.790801 | + | 0.612073i | \(0.790336\pi\) | |||||||
\(558\) | 20.9479 | − | 15.4590i | 0.886794 | − | 0.654431i | ||||
\(559\) | −19.2822 | −0.815549 | ||||||||
\(560\) | 27.8877 | − | 38.9002i | 1.17847 | − | 1.64383i | ||||
\(561\) | −12.9277 | + | 5.75580i | −0.545810 | + | 0.243010i | ||||
\(562\) | 54.3938 | + | 17.6736i | 2.29446 | + | 0.745516i | ||||
\(563\) | −18.8329 | + | 10.8732i | −0.793710 | + | 0.458249i | −0.841267 | − | 0.540620i | \(-0.818190\pi\) |
0.0475568 | + | 0.998869i | \(0.484856\pi\) | |||||||
\(564\) | −30.3300 | + | 52.5331i | −1.27712 | + | 2.21204i | ||||
\(565\) | −0.625523 | − | 0.355879i | −0.0263160 | − | 0.0149720i | ||||
\(566\) | 14.6105 | + | 44.9664i | 0.614124 | + | 1.89008i | ||||
\(567\) | 0.0458531 | + | 0.0412863i | 0.00192565 | + | 0.00173386i | ||||
\(568\) | −8.44677 | + | 18.9717i | −0.354418 | + | 0.796037i | ||||
\(569\) | −41.3408 | + | 8.78725i | −1.73309 | + | 0.368381i | −0.962990 | − | 0.269537i | \(-0.913129\pi\) |
−0.770105 | + | 0.637918i | \(0.779796\pi\) | |||||||
\(570\) | 2.41455 | − | 1.09341i | 0.101134 | − | 0.0457981i | ||||
\(571\) | 1.34968 | − | 12.8414i | 0.0564824 | − | 0.537394i | −0.929295 | − | 0.369338i | \(-0.879584\pi\) |
0.985777 | − | 0.168056i | \(-0.0537489\pi\) | |||||||
\(572\) | −11.2099 | + | 52.7386i | −0.468711 | + | 2.20511i | ||||
\(573\) | 14.6866 | − | 20.2144i | 0.613542 | − | 0.844468i | ||||
\(574\) | 40.6668 | + | 29.5462i | 1.69740 | + | 1.23323i | ||||
\(575\) | 5.89609 | + | 12.8036i | 0.245884 | + | 0.533945i | ||||
\(576\) | −0.434621 | + | 4.13514i | −0.0181092 | + | 0.172298i | ||||
\(577\) | 2.77593 | − | 0.291762i | 0.115563 | − | 0.0121462i | −0.0465702 | − | 0.998915i | \(-0.514829\pi\) |
0.162134 | + | 0.986769i | \(0.448162\pi\) | |||||||
\(578\) | 10.6260 | + | 49.9912i | 0.441982 | + | 2.07936i | ||||
\(579\) | −1.03134 | − | 0.459183i | −0.0428611 | − | 0.0190830i | ||||
\(580\) | −5.56884 | − | 2.43723i | −0.231233 | − | 0.101201i | ||||
\(581\) | −1.16812 | − | 3.59511i | −0.0484618 | − | 0.149150i | ||||
\(582\) | −35.0545 | + | 31.5632i | −1.45306 | + | 1.30834i | ||||
\(583\) | −13.5286 | − | 7.81077i | −0.560299 | − | 0.323489i | ||||
\(584\) | 22.5209 | + | 39.0073i | 0.931921 | + | 1.61413i | ||||
\(585\) | 0.149289 | + | 23.5548i | 0.00617235 | + | 0.973870i | ||||
\(586\) | −41.8385 | + | 18.6277i | −1.72833 | + | 0.769503i | ||||
\(587\) | −12.8038 | − | 17.6229i | −0.528467 | − | 0.727373i | 0.458428 | − | 0.888731i | \(-0.348413\pi\) |
−0.986896 | + | 0.161358i | \(0.948413\pi\) | |||||||
\(588\) | 19.3443i | 0.797745i | ||||||||
\(589\) | 1.82399 | + | 1.61792i | 0.0751563 | + | 0.0666651i | ||||
\(590\) | 45.0996 | − | 14.9704i | 1.85672 | − | 0.616323i | ||||
\(591\) | −4.75878 | + | 3.45746i | −0.195750 | + | 0.142221i | ||||
\(592\) | 4.44005 | + | 9.97252i | 0.182485 | + | 0.409868i | ||||
\(593\) | 5.15035 | + | 1.67345i | 0.211500 | + | 0.0687204i | 0.412851 | − | 0.910799i | \(-0.364533\pi\) |
−0.201351 | + | 0.979519i | \(0.564533\pi\) | |||||||
\(594\) | −14.2078 | − | 24.6087i | −0.582955 | − | 1.00971i | ||||
\(595\) | −44.5684 | − | 9.17846i | −1.82712 | − | 0.376280i | ||||
\(596\) | 52.6120 | + | 58.4316i | 2.15507 | + | 2.39345i | ||||
\(597\) | 20.1161 | − | 6.53612i | 0.823298 | − | 0.267506i | ||||
\(598\) | 30.1088 | + | 27.1101i | 1.23124 | + | 1.10862i | ||||
\(599\) | −0.00449614 | − | 0.00200181i | −0.000183707 | − | 8.17917e-5i | 0.406645 | − | 0.913586i | \(-0.366699\pi\) |
−0.406828 | + | 0.913505i | \(0.633365\pi\) | |||||||
\(600\) | 21.2414 | − | 24.2010i | 0.867178 | − | 0.988001i | ||||
\(601\) | 1.81177 | + | 17.2379i | 0.0739037 | + | 0.703147i | 0.967258 | + | 0.253794i | \(0.0816787\pi\) |
−0.893354 | + | 0.449353i | \(0.851655\pi\) | |||||||
\(602\) | 28.3870 | + | 2.98359i | 1.15697 | + | 0.121602i | ||||
\(603\) | 2.25593 | − | 10.6133i | 0.0918685 | − | 0.432207i | ||||
\(604\) | 23.6205 | + | 17.1613i | 0.961104 | + | 0.698283i | ||||
\(605\) | 4.28032 | − | 13.4632i | 0.174020 | − | 0.547358i | ||||
\(606\) | −12.4741 | − | 2.65144i | −0.506724 | − | 0.107707i | ||||
\(607\) | −3.11778 | − | 0.327692i | −0.126547 | − | 0.0133006i | 0.0410432 | − | 0.999157i | \(-0.486932\pi\) |
−0.167590 | + | 0.985857i | \(0.553599\pi\) | |||||||
\(608\) | 1.82625 | − | 0.191947i | 0.0740643 | − | 0.00778447i | ||||
\(609\) | 2.17035 | − | 0.461322i | 0.0879470 | − | 0.0186937i | ||||
\(610\) | −35.9679 | − | 3.55005i | −1.45630 | − | 0.143737i | ||||
\(611\) | 49.2091 | − | 54.6523i | 1.99079 | − | 2.21099i | ||||
\(612\) | −47.0499 | + | 15.2874i | −1.90188 | + | 0.617958i | ||||
\(613\) | 27.8368 | − | 25.0644i | 1.12432 | − | 1.01234i | 0.124521 | − | 0.992217i | \(-0.460261\pi\) |
0.999798 | − | 0.0201236i | \(-0.00640597\pi\) | |||||||
\(614\) | 22.3254 | − | 38.6688i | 0.900982 | − | 1.56055i | ||||
\(615\) | 10.6889 | + | 9.50237i | 0.431019 | + | 0.383172i | ||||
\(616\) | 13.3995 | − | 41.2393i | 0.539879 | − | 1.66158i | ||||
\(617\) | 9.97296 | + | 22.3996i | 0.401496 | + | 0.901776i | 0.995270 | + | 0.0971438i | \(0.0309707\pi\) |
−0.593774 | + | 0.804632i | \(0.702363\pi\) | |||||||
\(618\) | 14.2862 | + | 19.6632i | 0.574675 | + | 0.790972i | ||||
\(619\) | −20.8505 | −0.838051 | −0.419025 | − | 0.907975i | \(-0.637628\pi\) | ||||
−0.419025 | + | 0.907975i | \(0.637628\pi\) | |||||||
\(620\) | 52.0786 | + | 16.1315i | 2.09153 | + | 0.647857i | ||||
\(621\) | −14.6582 | −0.588214 | ||||||||
\(622\) | −24.3610 | − | 33.5301i | −0.976788 | − | 1.34443i | ||||
\(623\) | 22.2662 | + | 50.0106i | 0.892074 | + | 2.00363i | ||||
\(624\) | 12.0957 | − | 37.2268i | 0.484216 | − | 1.49026i | ||||
\(625\) | −24.3141 | + | 5.81599i | −0.972563 | + | 0.232640i | ||||
\(626\) | 5.86778 | − | 10.1633i | 0.234524 | − | 0.406207i | ||||
\(627\) | 0.754691 | − | 0.679527i | 0.0301395 | − | 0.0271377i | ||||
\(628\) | 49.4335 | − | 16.0619i | 1.97261 | − | 0.640940i | ||||
\(629\) | 6.94424 | − | 7.71236i | 0.276885 | − | 0.307512i | ||||
\(630\) | 3.42493 | − | 34.7002i | 0.136452 | − | 1.38249i | ||||
\(631\) | −2.68311 | + | 0.570313i | −0.106813 | + | 0.0227038i | −0.261008 | − | 0.965337i | \(-0.584055\pi\) |
0.154195 | + | 0.988040i | \(0.450722\pi\) | |||||||
\(632\) | −20.3730 | + | 2.14129i | −0.810396 | + | 0.0851760i | ||||
\(633\) | −13.2671 | − | 1.39443i | −0.527320 | − | 0.0554235i | ||||
\(634\) | −25.1718 | − | 5.35042i | −0.999699 | − | 0.212493i | ||||
\(635\) | 6.72603 | + | 2.13839i | 0.266914 | + | 0.0848592i | ||||
\(636\) | 27.4123 | + | 19.9162i | 1.08697 | + | 0.789728i | ||||
\(637\) | 4.87600 | − | 22.9398i | 0.193194 | − | 0.908907i | ||||
\(638\) | −3.37412 | − | 0.354635i | −0.133583 | − | 0.0140401i | ||||
\(639\) | 0.668803 | + | 6.36323i | 0.0264574 | + | 0.251726i | ||||
\(640\) | −27.1254 | + | 15.8909i | −1.07223 | + | 0.628145i | ||||
\(641\) | 23.1770 | + | 10.3191i | 0.915436 | + | 0.407578i | 0.809719 | − | 0.586818i | \(-0.199620\pi\) |
0.105717 | + | 0.994396i | \(0.466286\pi\) | |||||||
\(642\) | 11.6533 | + | 10.4927i | 0.459920 | + | 0.414114i | ||||
\(643\) | −15.3953 | + | 5.00225i | −0.607133 | + | 0.197269i | −0.596419 | − | 0.802673i | \(-0.703410\pi\) |
−0.0107138 | + | 0.999943i | \(0.503410\pi\) | |||||||
\(644\) | −27.5491 | − | 30.5964i | −1.08559 | − | 1.20567i | ||||
\(645\) | 7.95427 | + | 1.63811i | 0.313199 | + | 0.0645006i | ||||
\(646\) | −3.37449 | − | 5.84479i | −0.132768 | − | 0.229960i | ||||
\(647\) | 13.9836 | + | 4.54355i | 0.549753 | + | 0.178626i | 0.570705 | − | 0.821155i | \(-0.306670\pi\) |
−0.0209524 | + | 0.999780i | \(0.506670\pi\) | |||||||
\(648\) | 0.0452194 | + | 0.101564i | 0.00177639 | + | 0.00398983i | ||||
\(649\) | 14.7293 | − | 10.7015i | 0.578176 | − | 0.420070i | ||||
\(650\) | −57.5932 | + | 42.9697i | −2.25899 | + | 1.68541i | ||||
\(651\) | −18.8801 | + | 6.29021i | −0.739968 | + | 0.246533i | ||||
\(652\) | − | 15.1708i | − | 0.594133i | ||||||
\(653\) | 9.78350 | + | 13.4658i | 0.382858 | + | 0.526959i | 0.956339 | − | 0.292260i | \(-0.0944073\pi\) |
−0.573481 | + | 0.819219i | \(0.694407\pi\) | |||||||
\(654\) | 1.53200 | − | 0.682088i | 0.0599058 | − | 0.0266718i | ||||
\(655\) | −14.6571 | + | 0.0928961i | −0.572700 | + | 0.00362975i | ||||
\(656\) | 19.1525 | + | 33.1731i | 0.747779 | + | 1.29519i | ||||
\(657\) | 12.0180 | + | 6.93860i | 0.468867 | + | 0.270701i | ||||
\(658\) | −80.9017 | + | 72.8442i | −3.15388 | + | 2.83976i | ||||
\(659\) | −8.45643 | − | 26.0262i | −0.329416 | − | 1.01384i | −0.969408 | − | 0.245456i | \(-0.921062\pi\) |
0.639992 | − | 0.768382i | \(-0.278938\pi\) | |||||||
\(660\) | 9.10472 | − | 20.8034i | 0.354401 | − | 0.809771i | ||||
\(661\) | −3.61957 | − | 1.61154i | −0.140785 | − | 0.0626816i | 0.335135 | − | 0.942170i | \(-0.391218\pi\) |
−0.475920 | + | 0.879489i | \(0.657885\pi\) | |||||||
\(662\) | −8.24927 | − | 38.8098i | −0.320617 | − | 1.50838i | ||||
\(663\) | −37.0086 | + | 3.88976i | −1.43729 | + | 0.151066i | ||||
\(664\) | 0.711961 | − | 6.77386i | 0.0276294 | − | 0.262877i | ||||
\(665\) | 3.24538 | − | 0.361914i | 0.125851 | − | 0.0140344i | ||||
\(666\) | 6.43372 | + | 4.67437i | 0.249302 | + | 0.181128i | ||||
\(667\) | −1.02870 | + | 1.41588i | −0.0398313 | + | 0.0548231i | ||||
\(668\) | −7.99872 | + | 37.6310i | −0.309480 | + | 1.45599i | ||||
\(669\) | −2.18015 | + | 20.7427i | −0.0842894 | + | 0.801960i | ||||
\(670\) | 30.1523 | − | 13.6543i | 1.16488 | − | 0.527511i | ||||
\(671\) | −13.5450 | + | 2.87908i | −0.522898 | + | 0.111145i | ||||
\(672\) | −6.09619 | + | 13.6923i | −0.235166 | + | 0.528191i | ||||
\(673\) | −25.6588 | − | 23.1033i | −0.989074 | − | 0.890566i | 0.00492173 | − | 0.999988i | \(-0.498433\pi\) |
−0.993995 | + | 0.109422i | \(0.965100\pi\) | |||||||
\(674\) | 1.96409 | + | 6.04484i | 0.0756538 | + | 0.232839i | ||||
\(675\) | 5.08237 | − | 25.4956i | 0.195621 | − | 0.981326i | ||||
\(676\) | −42.4265 | + | 73.4848i | −1.63179 | + | 2.82634i | ||||
\(677\) | −10.3699 | + | 5.98704i | −0.398546 | + | 0.230101i | −0.685856 | − | 0.727737i | \(-0.740572\pi\) |
0.287310 | + | 0.957838i | \(0.407239\pi\) | |||||||
\(678\) | 0.828577 | + | 0.269221i | 0.0318213 | + | 0.0103394i | ||||
\(679\) | −53.0895 | + | 23.6370i | −2.03739 | + | 0.907103i | ||||
\(680\) | −66.6357 | − | 47.7713i | −2.55536 | − | 1.83195i | ||||
\(681\) | 2.91899 | 0.111856 | ||||||||
\(682\) | 30.4278 | − | 0.226428i | 1.16514 | − | 0.00867037i | ||||
\(683\) | − | 24.7403i | − | 0.946661i | −0.880885 | − | 0.473331i | \(-0.843052\pi\) | ||
0.880885 | − | 0.473331i | \(-0.156948\pi\) | |||||||
\(684\) | 2.87219 | − | 2.08677i | 0.109821 | − | 0.0797896i | ||||
\(685\) | 18.3935 | − | 16.7739i | 0.702780 | − | 0.640897i | ||||
\(686\) | 7.49194 | − | 23.0578i | 0.286043 | − | 0.880351i | ||||
\(687\) | −13.7649 | + | 7.94714i | −0.525162 | + | 0.303202i | ||||
\(688\) | 18.8369 | + | 10.8755i | 0.718149 | + | 0.414623i | ||||
\(689\) | −27.4872 | − | 30.5276i | −1.04718 | − | 1.16301i | ||||
\(690\) | −10.1174 | − | 13.7413i | −0.385161 | − | 0.523124i | ||||
\(691\) | −10.1605 | + | 11.2844i | −0.386523 | + | 0.429277i | −0.904735 | − | 0.425975i | \(-0.859931\pi\) |
0.518212 | + | 0.855252i | \(0.326598\pi\) | |||||||
\(692\) | 36.0299 | − | 80.9245i | 1.36965 | − | 3.07629i | ||||
\(693\) | −2.77760 | − | 13.0676i | −0.105512 | − | 0.496397i | ||||
\(694\) | −8.30173 | − | 78.9857i | −0.315129 | − | 2.99825i | ||||
\(695\) | −33.5942 | + | 7.36351i | −1.27430 | + | 0.279314i | ||||
\(696\) | 3.91062 | + | 0.831228i | 0.148232 | + | 0.0315076i | ||||
\(697\) | 21.4049 | − | 29.4613i | 0.810768 | − | 1.11593i | ||||
\(698\) | 32.8059 | − | 45.1535i | 1.24172 | − | 1.70908i | ||||
\(699\) | −13.2820 | − | 2.82318i | −0.502372 | − | 0.106782i | ||||
\(700\) | 62.7695 | − | 37.3087i | 2.37246 | − | 1.41014i | ||||
\(701\) | −0.137862 | − | 1.31167i | −0.00520696 | − | 0.0495409i | 0.991610 | − | 0.129267i | \(-0.0412623\pi\) |
−0.996817 | + | 0.0797256i | \(0.974596\pi\) | |||||||
\(702\) | −15.5358 | − | 73.0901i | −0.586360 | − | 2.75861i | ||||
\(703\) | −0.302922 | + | 0.680374i | −0.0114249 | + | 0.0256608i | ||||
\(704\) | −3.25178 | + | 3.61146i | −0.122556 | + | 0.136112i | ||||
\(705\) | −24.9427 | + | 18.3646i | −0.939397 | + | 0.691650i | ||||
\(706\) | −46.8356 | − | 52.0162i | −1.76268 | − | 1.95766i | ||||
\(707\) | −13.6064 | − | 7.85563i | −0.511720 | − | 0.295441i | ||||
\(708\) | −34.1995 | + | 19.7451i | −1.28529 | + | 0.742065i | ||||
\(709\) | 1.10844 | − | 3.41142i | 0.0416282 | − | 0.128119i | −0.928083 | − | 0.372374i | \(-0.878544\pi\) |
0.969711 | + | 0.244256i | \(0.0785437\pi\) | |||||||
\(710\) | −14.4219 | + | 13.1520i | −0.541244 | + | 0.493585i | ||||
\(711\) | −5.10605 | + | 3.70977i | −0.191492 | + | 0.139127i | ||||
\(712\) | 98.6389i | 3.69665i | ||||||||
\(713\) | 7.74691 | − | 13.6516i | 0.290124 | − | 0.511258i | ||||
\(714\) | 55.0855 | 2.06152 | ||||||||
\(715\) | −16.0408 | + | 22.3751i | −0.599892 | + | 0.836782i | ||||
\(716\) | 39.1312 | − | 17.4223i | 1.46240 | − | 0.651102i | ||||
\(717\) | −24.2606 | − | 7.88273i | −0.906027 | − | 0.294386i | ||||
\(718\) | −9.16705 | + | 5.29260i | −0.342111 | + | 0.197518i | ||||
\(719\) | 13.8778 | − | 24.0371i | 0.517556 | − | 0.896433i | −0.482236 | − | 0.876041i | \(-0.660175\pi\) |
0.999792 | − | 0.0203919i | \(-0.00649141\pi\) | |||||||
\(720\) | 13.1395 | − | 23.0950i | 0.489679 | − | 0.860700i | ||||
\(721\) | 9.25312 | + | 28.4782i | 0.344604 | + | 1.06058i | ||||
\(722\) | −35.3023 | − | 31.7863i | −1.31381 | − | 1.18296i | ||||
\(723\) | −0.551440 | + | 1.23856i | −0.0205083 | + | 0.0460624i | ||||
\(724\) | 70.4004 | − | 14.9641i | 2.61641 | − | 0.556135i | ||||
\(725\) | −2.10602 | − | 2.28018i | −0.0782158 | − | 0.0846837i | ||||
\(726\) | −1.78766 | + | 17.0084i | −0.0663461 | + | 0.631241i | ||||
\(727\) | 1.51120 | − | 7.10964i | 0.0560474 | − | 0.263682i | −0.941198 | − | 0.337855i | \(-0.890298\pi\) |
0.997245 | + | 0.0741734i | \(0.0236318\pi\) | |||||||
\(728\) | 67.0223 | − | 92.2483i | 2.48401 | − | 3.41895i | ||||
\(729\) | 13.5525 | + | 9.84649i | 0.501945 | + | 0.364685i | ||||
\(730\) | 4.69177 | + | 42.0724i | 0.173650 | + | 1.55717i | ||||
\(731\) | 2.16148 | − | 20.5651i | 0.0799453 | − | 0.760628i | ||||
\(732\) | 29.8712 | − | 3.13959i | 1.10407 | − | 0.116042i | ||||
\(733\) | 10.9048 | + | 51.3028i | 0.402776 | + | 1.89491i | 0.444489 | + | 0.895784i | \(0.353385\pi\) |
−0.0417127 | + | 0.999130i | \(0.513281\pi\) | |||||||
\(734\) | 43.5811 | + | 19.4036i | 1.60861 | + | 0.716199i | ||||
\(735\) | −3.96029 | + | 9.04887i | −0.146078 | + | 0.333773i | ||||
\(736\) | −3.65319 | − | 11.2434i | −0.134658 | − | 0.414435i | ||||
\(737\) | 9.42439 | − | 8.48576i | 0.347152 | − | 0.312577i | ||||
\(738\) | 24.1666 | + | 13.9526i | 0.889585 | + | 0.513602i | ||||
\(739\) | −4.31139 | − | 7.46754i | −0.158597 | − | 0.274698i | 0.775766 | − | 0.631021i | \(-0.217364\pi\) |
−0.934363 | + | 0.356323i | \(0.884030\pi\) | |||||||
\(740\) | 0.105548 | + | 16.6534i | 0.00388003 | + | 0.612189i | ||||
\(741\) | 2.43962 | − | 1.08619i | 0.0896216 | − | 0.0399021i | ||||
\(742\) | 35.7427 | + | 49.1956i | 1.31216 | + | 1.80603i | ||||
\(743\) | − | 9.82282i | − | 0.360364i | −0.983633 | − | 0.180182i | \(-0.942331\pi\) | ||
0.983633 | − | 0.180182i | \(-0.0576687\pi\) | |||||||
\(744\) | −35.6877 | − | 3.48263i | −1.30837 | − | 0.127680i | ||||
\(745\) | 12.6484 | + | 38.1042i | 0.463400 | + | 1.39603i | ||||
\(746\) | −0.478359 | + | 0.347548i | −0.0175140 | + | 0.0127247i | ||||
\(747\) | −0.853535 | − | 1.91707i | −0.0312292 | − | 0.0701420i | ||||
\(748\) | −54.9911 | − | 17.8677i | −2.01067 | − | 0.653307i | ||||
\(749\) | 9.65950 | + | 16.7307i | 0.352950 | + | 0.611328i | ||||
\(750\) | 27.4088 | − | 12.8330i | 1.00083 | − | 0.468597i | ||||
\(751\) | −18.1870 | − | 20.1987i | −0.663654 | − | 0.737062i | 0.313502 | − | 0.949588i | \(-0.398498\pi\) |
−0.977156 | + | 0.212525i | \(0.931831\pi\) | |||||||
\(752\) | −78.8975 | + | 25.6354i | −2.87710 | + | 0.934825i | ||||
\(753\) | 8.81174 | + | 7.93413i | 0.321118 | + | 0.289136i | ||||
\(754\) | −8.15028 | − | 3.62874i | −0.296816 | − | 0.132151i | ||||
\(755\) | 7.53582 | + | 12.8635i | 0.274257 | + | 0.468149i | ||||
\(756\) | 7.93715 | + | 75.5169i | 0.288671 | + | 2.74652i | ||||
\(757\) | 53.6533 | + | 5.63919i | 1.95006 | + | 0.204960i | 0.995624 | − | 0.0934516i | \(-0.0297900\pi\) |
0.954437 | + | 0.298411i | \(0.0964567\pi\) | |||||||
\(758\) | −1.82777 | + | 8.59900i | −0.0663877 | + | 0.312330i | ||||
\(759\) | −5.28928 | − | 3.84289i | −0.191989 | − | 0.139488i | ||||
\(760\) | 5.60734 | + | 1.78273i | 0.203400 | + | 0.0646662i | ||||
\(761\) | −15.1031 | − | 3.21027i | −0.547487 | − | 0.116372i | −0.0741399 | − | 0.997248i | \(-0.523621\pi\) |
−0.473347 | + | 0.880876i | \(0.656954\pi\) | |||||||
\(762\) | −8.49714 | − | 0.893086i | −0.307819 | − | 0.0323531i | ||||
\(763\) | 2.05471 | − | 0.215958i | 0.0743854 | − | 0.00781822i | ||||
\(764\) | 99.8620 | − | 21.2263i | 3.61288 | − | 0.767942i | ||||
\(765\) | −25.1388 | − | 2.48121i | −0.908893 | − | 0.0897083i | ||||
\(766\) | −20.5171 | + | 22.7865i | −0.741311 | + | 0.823310i | ||||
\(767\) | 45.5331 | − | 14.7946i | 1.64410 | − | 0.534202i | ||||
\(768\) | 24.7045 | − | 22.2440i | 0.891447 | − | 0.802663i | ||||
\(769\) | −7.71652 | + | 13.3654i | −0.278265 | + | 0.481969i | −0.970954 | − | 0.239268i | \(-0.923093\pi\) |
0.692689 | + | 0.721237i | \(0.256426\pi\) | |||||||
\(770\) | 27.0773 | − | 30.4584i | 0.975797 | − | 1.09764i | ||||
\(771\) | −2.03137 | + | 6.25192i | −0.0731580 | + | 0.225157i | ||||
\(772\) | −1.87620 | − | 4.21401i | −0.0675259 | − | 0.151666i | ||||
\(773\) | −5.84542 | − | 8.04553i | −0.210245 | − | 0.289378i | 0.690851 | − | 0.722997i | \(-0.257236\pi\) |
−0.901096 | + | 0.433620i | \(0.857236\pi\) | |||||||
\(774\) | 15.8456 | 0.569557 | ||||||||
\(775\) | 21.0588 | + | 18.2079i | 0.756455 | + | 0.654046i | ||||
\(776\) | −104.712 | −3.75892 | ||||||||
\(777\) | −3.57302 | − | 4.91783i | −0.128181 | − | 0.176426i | ||||
\(778\) | −35.1151 | − | 78.8697i | −1.25894 | − | 2.82762i | ||||
\(779\) | −0.807570 | + | 2.48544i | −0.0289342 | + | 0.0890503i | ||||
\(780\) | 39.6752 | − | 44.6294i | 1.42060 | − | 1.59799i | ||||
\(781\) | −3.73910 | + | 6.47631i | −0.133795 | + | 0.231741i | ||||
\(782\) | −32.2890 | + | 29.0732i | −1.15465 | + | 1.03965i | ||||
\(783\) | 3.06979 | − | 0.997436i | 0.109705 | − | 0.0356455i | ||||
\(784\) | −17.7018 | + | 19.6599i | −0.632208 | + | 0.702138i | ||||
\(785\) | 26.4123 | + | 2.60691i | 0.942696 | + | 0.0930446i | ||||
\(786\) | 17.3561 | − | 3.68915i | 0.619072 | − | 0.131588i | ||||
\(787\) | 37.2354 | − | 3.91360i | 1.32730 | − | 0.139505i | 0.585799 | − | 0.810456i | \(-0.300781\pi\) |
0.741501 | + | 0.670952i | \(0.234114\pi\) | |||||||
\(788\) | −23.9026 | − | 2.51227i | −0.851496 | − | 0.0894959i | ||||
\(789\) | −0.347020 | − | 0.0737613i | −0.0123542 | − | 0.00262597i | ||||
\(790\) | −18.3484 | − | 5.83345i | −0.652806 | − | 0.207545i | ||||
\(791\) | 0.868345 | + | 0.630889i | 0.0308748 | + | 0.0224318i | ||||
\(792\) | 5.00480 | − | 23.5457i | 0.177838 | − | 0.836660i | ||||
\(793\) | −36.2146 | − | 3.80631i | −1.28602 | − | 0.135166i | ||||
\(794\) | 4.48142 | + | 42.6379i | 0.159040 | + | 1.51316i | ||||
\(795\) | 8.74554 | + | 14.9284i | 0.310172 | + | 0.529456i | ||||
\(796\) | 78.9516 | + | 35.1515i | 2.79837 | + | 1.24591i | ||||
\(797\) | −9.19134 | − | 8.27592i | −0.325574 | − | 0.293148i | 0.490093 | − | 0.871670i | \(-0.336963\pi\) |
−0.815667 | + | 0.578522i | \(0.803630\pi\) | |||||||
\(798\) | −3.75965 | + | 1.22158i | −0.133090 | + | 0.0432436i | ||||
\(799\) | 52.7724 | + | 58.6097i | 1.86695 | + | 2.07346i | ||||
\(800\) | 20.8227 | − | 2.45578i | 0.736192 | − | 0.0868249i | ||||
\(801\) | 15.1951 | + | 26.3187i | 0.536894 | + | 0.929927i | ||||
\(802\) | −10.5373 | − | 3.42378i | −0.372085 | − | 0.120898i | ||||
\(803\) | 6.59703 | + | 14.8172i | 0.232804 | + | 0.522887i | ||||
\(804\) | −22.2536 | + | 16.1682i | −0.784825 | + | 0.570209i | ||||
\(805\) | −6.62302 | − | 19.9524i | −0.233431 | − | 0.703230i | ||||
\(806\) | 76.2818 | + | 24.1594i | 2.68691 | + | 0.850978i | ||||
\(807\) | − | 1.13746i | − | 0.0400404i | ||||||
\(808\) | −16.6397 | − | 22.9026i | −0.585383 | − | 0.805711i | ||||
\(809\) | −16.4737 | + | 7.33456i | −0.579184 | + | 0.257869i | −0.675352 | − | 0.737496i | \(-0.736008\pi\) |
0.0961677 | + | 0.995365i | \(0.469341\pi\) | |||||||
\(810\) | 0.000662244 | 0.104488i | 2.32689e−5 | 0.00367135i | ||||||
\(811\) | 6.82127 | + | 11.8148i | 0.239527 | + | 0.414873i | 0.960579 | − | 0.278008i | \(-0.0896743\pi\) |
−0.721052 | + | 0.692881i | \(0.756341\pi\) | |||||||
\(812\) | 7.85144 | + | 4.53303i | 0.275531 | + | 0.159078i | ||||
\(813\) | 17.5192 | − | 15.7744i | 0.614426 | − | 0.553232i | ||||
\(814\) | 2.87224 | + | 8.83984i | 0.100672 | + | 0.309836i | ||||
\(815\) | 3.10586 | − | 7.09658i | 0.108793 | − | 0.248582i | ||||
\(816\) | 38.3478 | + | 17.0735i | 1.34244 | + | 0.597694i | ||||
\(817\) | 0.308531 | + | 1.45153i | 0.0107941 | + | 0.0507825i | ||||
\(818\) | −25.4563 | + | 2.67557i | −0.890060 | + | 0.0935490i | ||||
\(819\) | 3.67216 | − | 34.9383i | 0.128316 | − | 1.22084i | ||||
\(820\) | 6.47658 | + | 58.0774i | 0.226172 | + | 2.02815i | ||||
\(821\) | −21.1470 | − | 15.3642i | −0.738034 | − | 0.536213i | 0.154061 | − | 0.988061i | \(-0.450765\pi\) |
−0.892095 | + | 0.451848i | \(0.850765\pi\) | |||||||
\(822\) | −17.7131 | + | 24.3800i | −0.617816 | + | 0.850351i | ||||
\(823\) | −6.71803 | + | 31.6058i | −0.234176 | + | 1.10171i | 0.691201 | + | 0.722662i | \(0.257082\pi\) |
−0.925377 | + | 0.379048i | \(0.876252\pi\) | |||||||
\(824\) | −5.63971 | + | 53.6582i | −0.196468 | + | 1.86927i | ||||
\(825\) | 8.51802 | − | 7.86743i | 0.296559 | − | 0.273909i | ||||
\(826\) | −69.3225 | + | 14.7350i | −2.41204 | + | 0.512695i | ||||
\(827\) | 6.44208 | − | 14.4691i | 0.224013 | − | 0.503141i | −0.766218 | − | 0.642581i | \(-0.777864\pi\) |
0.990231 | + | 0.139440i | \(0.0445302\pi\) | |||||||
\(828\) | −16.9853 | − | 15.2936i | −0.590279 | − | 0.531490i | ||||
\(829\) | −15.9341 | − | 49.0401i | −0.553414 | − | 1.70323i | −0.700094 | − | 0.714050i | \(-0.746859\pi\) |
0.146680 | − | 0.989184i | \(-0.453141\pi\) | |||||||
\(830\) | 3.16559 | − | 5.56411i | 0.109879 | − | 0.193133i | ||||
\(831\) | 10.5428 | − | 18.2606i | 0.365724 | − | 0.633453i | ||||
\(832\) | −11.0672 | + | 6.38963i | −0.383685 | + | 0.221520i | ||||
\(833\) | 23.9195 | + | 7.77192i | 0.828762 | + | 0.269281i | ||||
\(834\) | 38.0343 | − | 16.9340i | 1.31702 | − | 0.586376i | ||||
\(835\) | −11.4457 | + | 15.9655i | −0.396095 | + | 0.552509i | ||||
\(836\) | 4.14944 | 0.143511 | ||||||||
\(837\) | −26.3581 | + | 11.9712i | −0.911071 | + | 0.413786i | ||||
\(838\) | − | 72.9086i | − | 2.51858i | ||||||
\(839\) | −1.61755 | + | 1.17522i | −0.0558439 | + | 0.0405730i | −0.615357 | − | 0.788249i | \(-0.710988\pi\) |
0.559513 | + | 0.828822i | \(0.310988\pi\) | |||||||
\(840\) | −35.4849 | + | 32.3604i | −1.22435 | + | 1.11654i | ||||
\(841\) | −8.84240 | + | 27.2141i | −0.304910 | + | 0.938418i | ||||
\(842\) | 28.6875 | − | 16.5627i | 0.988636 | − | 0.570790i | ||||
\(843\) | −21.0178 | − | 12.1346i | −0.723893 | − | 0.417940i | ||||
\(844\) | −36.4725 | − | 40.5068i | −1.25544 | − | 1.39430i | ||||
\(845\) | −34.8906 | + | 25.6889i | −1.20027 | + | 0.883725i | ||||
\(846\) | −40.4387 | + | 44.9118i | −1.39031 | + | 1.54410i | ||||
\(847\) | −8.56980 | + | 19.2481i | −0.294462 | + | 0.661372i | ||||
\(848\) | 9.63431 | + | 45.3259i | 0.330844 | + | 1.55650i | ||||
\(849\) | −2.09716 | − | 19.9531i | −0.0719742 | − | 0.684789i | ||||
\(850\) | −39.3727 | − | 66.2420i | −1.35047 | − | 2.27208i | ||||
\(851\) | 4.68991 | + | 0.996872i | 0.160768 | + | 0.0341723i | ||||
\(852\) | 9.53409 | − | 13.1225i | 0.326632 | − | 0.449571i | ||||
\(853\) | −7.89044 | + | 10.8603i | −0.270163 | + | 0.371848i | −0.922445 | − | 0.386129i | \(-0.873812\pi\) |
0.652281 | + | 0.757977i | \(0.273812\pi\) | |||||||
\(854\) | 52.7259 | + | 11.2072i | 1.80424 | + | 0.383503i | ||||
\(855\) | 1.77077 | − | 0.388135i | 0.0605591 | − | 0.0132739i | ||||
\(856\) | 3.63861 | + | 34.6191i | 0.124365 | + | 1.18325i | ||||
\(857\) | 9.09352 | + | 42.7816i | 0.310629 | + | 1.46139i | 0.805587 | + | 0.592477i | \(0.201850\pi\) |
−0.494959 | + | 0.868916i | \(0.664817\pi\) | |||||||
\(858\) | 13.5558 | − | 30.4469i | 0.462788 | − | 1.03944i | ||||
\(859\) | 19.7873 | − | 21.9761i | 0.675136 | − | 0.749814i | −0.304078 | − | 0.952647i | \(-0.598348\pi\) |
0.979213 | + | 0.202833i | \(0.0650149\pi\) | |||||||
\(860\) | 19.6741 | + | 26.7213i | 0.670882 | + | 0.911189i | ||||
\(861\) | −14.2727 | − | 15.8515i | −0.486414 | − | 0.540217i | ||||
\(862\) | 25.9328 | + | 14.9723i | 0.883276 | + | 0.509960i | ||||
\(863\) | 17.7236 | − | 10.2327i | 0.603317 | − | 0.348325i | −0.167028 | − | 0.985952i | \(-0.553417\pi\) |
0.770345 | + | 0.637627i | \(0.220084\pi\) | |||||||
\(864\) | −6.73760 | + | 20.7362i | −0.229218 | + | 0.705460i | ||||
\(865\) | 33.4215 | − | 30.4786i | 1.13636 | − | 1.03630i | ||||
\(866\) | 19.0866 | − | 13.8673i | 0.648590 | − | 0.471229i | ||||
\(867\) | − | 21.6872i | − | 0.736536i | ||||||
\(868\) | −74.5261 | − | 32.5188i | −2.52958 | − | 1.10376i | ||||
\(869\) | −7.37668 | −0.250237 | ||||||||
\(870\) | 3.05387 | + | 2.18933i | 0.103536 | + | 0.0742253i | ||||
\(871\) | 30.4653 | − | 13.5640i | 1.03228 | − | 0.459600i | ||||
\(872\) | 3.54045 | + | 1.15036i | 0.119895 | + | 0.0389561i | ||||
\(873\) | −27.9390 | + | 16.1306i | −0.945593 | + | 0.545938i | ||||
\(874\) | 1.55903 | − | 2.70032i | 0.0527350 | − | 0.0913398i | ||||
\(875\) | 37.0004 | − | 4.60169i | 1.25084 | − | 0.155566i | ||||
\(876\) | −10.8713 | − | 33.4584i | −0.367307 | − | 1.13045i | ||||
\(877\) | −12.2600 | − | 11.0390i | −0.413991 | − | 0.372759i | 0.435654 | − | 0.900114i | \(-0.356517\pi\) |
−0.849645 | + | 0.527355i | \(0.823184\pi\) | |||||||
\(878\) | −12.9855 | + | 29.1659i | −0.438240 | + | 0.984303i | ||||
\(879\) | 19.0092 | − | 4.04053i | 0.641165 | − | 0.136284i | ||||
\(880\) | 28.2903 | − | 12.8111i | 0.953666 | − | 0.431862i | ||||
\(881\) | −4.24351 | + | 40.3743i | −0.142968 | + | 1.36025i | 0.654124 | + | 0.756387i | \(0.273037\pi\) |
−0.797092 | + | 0.603858i | \(0.793629\pi\) | |||||||
\(882\) | −4.00697 | + | 18.8513i | −0.134922 | + | 0.634756i | ||||
\(883\) | −15.8592 | + | 21.8283i | −0.533704 | + | 0.734581i | −0.987689 | − | 0.156428i | \(-0.950002\pi\) |
0.453985 | + | 0.891009i | \(0.350002\pi\) | |||||||
\(884\) | −123.010 | − | 89.3717i | −4.13726 | − | 3.00590i | ||||
\(885\) | −20.0402 | + | 2.23481i | −0.673643 | + | 0.0751223i | ||||
\(886\) | 2.28291 | − | 21.7204i | 0.0766957 | − | 0.729711i | ||||
\(887\) | −29.0332 | + | 3.05151i | −0.974839 | + | 0.102460i | −0.578533 | − | 0.815659i | \(-0.696375\pi\) |
−0.396306 | + | 0.918119i | \(0.629708\pi\) | |||||||
\(888\) | −2.27725 | − | 10.7136i | −0.0764196 | − | 0.359526i | ||||
\(889\) | −9.61605 | − | 4.28134i | −0.322512 | − | 0.143592i | ||||
\(890\) | −37.1699 | + | 84.9295i | −1.24594 | + | 2.84684i | ||||
\(891\) | 0.0123713 | + | 0.0380748i | 0.000414453 | + | 0.00127555i | ||||
\(892\) | −63.3313 | + | 57.0237i | −2.12049 | + | 1.90930i | ||||
\(893\) | −4.90151 | − | 2.82989i | −0.164023 | − | 0.0946986i | ||||
\(894\) | −24.3014 | − | 42.0913i | −0.812762 | − | 1.40774i | ||||
\(895\) | 21.8716 | − | 0.138621i | 0.731086 | − | 0.00463360i | ||||
\(896\) | 42.8328 | − | 19.0704i | 1.43094 | − | 0.637097i | ||||
\(897\) | −10.1054 | − | 13.9089i | −0.337409 | − | 0.464404i | ||||
\(898\) | 23.3406i | 0.778884i | ||||||||
\(899\) | −0.693452 | + | 3.38614i | −0.0231279 | + | 0.112934i | ||||
\(900\) | 32.4900 | − | 24.2405i | 1.08300 | − | 0.808016i | ||||
\(901\) | 35.6400 | − | 25.8940i | 1.18734 | − | 0.862655i | ||||
\(902\) | 13.2657 | + | 29.7953i | 0.441701 | + | 0.992077i | ||||
\(903\) | −11.5193 | − | 3.74284i | −0.383338 | − | 0.124554i | ||||
\(904\) | 0.966987 | + | 1.67487i | 0.0321615 | + | 0.0557054i | ||||
\(905\) | 35.9954 | + | 7.41294i | 1.19653 | + | 0.246415i | ||||
\(906\) | −12.0762 | − | 13.4120i | −0.401204 | − | 0.445583i | ||||
\(907\) | 15.8036 | − | 5.13489i | 0.524748 | − | 0.170501i | −0.0346508 | − | 0.999399i | \(-0.511032\pi\) |
0.559399 | + | 0.828898i | \(0.311032\pi\) | |||||||
\(908\) | 8.86337 | + | 7.98062i | 0.294141 | + | 0.264846i | ||||
\(909\) | −7.96790 | − | 3.54754i | −0.264279 | − | 0.117664i | ||||
\(910\) | 92.4689 | − | 54.1713i | 3.06532 | − | 1.79576i | ||||
\(911\) | −0.143837 | − | 1.36852i | −0.00476554 | − | 0.0453411i | 0.991881 | − | 0.127172i | \(-0.0405900\pi\) |
−0.996646 | + | 0.0818307i | \(0.973923\pi\) | |||||||
\(912\) | −2.99591 | − | 0.314882i | −0.0992044 | − | 0.0104268i | ||||
\(913\) | 0.509941 | − | 2.39909i | 0.0168766 | − | 0.0793982i | ||||
\(914\) | −50.7958 | − | 36.9053i | −1.68018 | − | 1.22072i | ||||
\(915\) | 14.6159 | + | 4.64679i | 0.483186 | + | 0.153618i | ||||
\(916\) | −63.5241 | − | 13.5025i | −2.09890 | − | 0.446134i | ||||
\(917\) | 21.7405 | + | 2.28502i | 0.717936 | + | 0.0754581i | ||||
\(918\) | 79.6947 | − | 8.37625i | 2.63032 | − | 0.276458i | ||||
\(919\) | −10.5953 | + | 2.25210i | −0.349507 | + | 0.0742900i | −0.379320 | − | 0.925265i | \(-0.623842\pi\) |
0.0298131 | + | 0.999555i | \(0.490509\pi\) | |||||||
\(920\) | 3.72069 | − | 37.6967i | 0.122667 | − | 1.24282i | ||||
\(921\) | −12.6781 | + | 14.0805i | −0.417759 | + | 0.463968i | ||||
\(922\) | 12.5807 | − | 4.08772i | 0.414324 | − | 0.134622i | ||||
\(923\) | −14.6139 | + | 13.1584i | −0.481022 | + | 0.433114i | ||||
\(924\) | −16.9339 | + | 29.3305i | −0.557086 | + | 0.964901i | ||||
\(925\) | −3.36001 | + | 7.81171i | −0.110476 | + | 0.256848i | ||||
\(926\) | 15.2892 | − | 47.0552i | 0.502433 | − | 1.54633i | ||||
\(927\) | 6.76116 | + | 15.1858i | 0.222066 | + | 0.498768i | ||||
\(928\) | 1.53014 | + | 2.10605i | 0.0502292 | + | 0.0691346i | ||||
\(929\) | 32.1627 | 1.05522 | 0.527611 | − | 0.849486i | \(-0.323088\pi\) | ||||
0.527611 | + | 0.849486i | \(0.323088\pi\) | |||||||
\(930\) | −29.4153 | − | 16.4467i | −0.964565 | − | 0.539309i | ||||
\(931\) | −1.80488 | −0.0591527 | ||||||||
\(932\) | −32.6116 | − | 44.8860i | −1.06823 | − | 1.47029i | ||||
\(933\) | 7.15327 | + | 16.0665i | 0.234187 | + | 0.525994i | ||||
\(934\) | −20.1919 | + | 62.1441i | −0.660698 | + | 2.03342i | ||||
\(935\) | −22.0657 | − | 19.6163i | −0.721626 | − | 0.641521i | ||||
\(936\) | 31.6500 | − | 54.8193i | 1.03451 | − | 1.79183i | ||||
\(937\) | 36.6149 | − | 32.9682i | 1.19616 | − | 1.07702i | 0.200914 | − | 0.979609i | \(-0.435609\pi\) |
0.995244 | − | 0.0974159i | \(-0.0310577\pi\) | |||||||
\(938\) | −46.9495 | + | 15.2548i | −1.53296 | + | 0.498088i | ||||
\(939\) | −3.33218 | + | 3.70076i | −0.108742 | + | 0.120770i | ||||
\(940\) | −125.947 | − | 12.4310i | −4.10793 | − | 0.405455i | ||||
\(941\) | −31.3754 | + | 6.66904i | −1.02281 | + | 0.217404i | −0.688635 | − | 0.725108i | \(-0.741790\pi\) |
−0.334172 | + | 0.942512i | \(0.608457\pi\) | |||||||
\(942\) | −31.9534 | + | 3.35844i | −1.04110 | + | 0.109424i | ||||
\(943\) | 16.7323 | + | 1.75863i | 0.544878 | + | 0.0572690i | ||||
\(944\) | −52.8259 | − | 11.2285i | −1.71934 | − | 0.365457i | ||||
\(945\) | −11.7475 | + | 36.9503i | −0.382146 | + | 1.20199i | ||||
\(946\) | 14.9830 | + | 10.8858i | 0.487139 | + | 0.353927i | ||||
\(947\) | 5.41787 | − | 25.4891i | 0.176057 | − | 0.828283i | −0.798120 | − | 0.602498i | \(-0.794172\pi\) |
0.974177 | − | 0.225785i | \(-0.0724946\pi\) | |||||||
\(948\) | 15.9125 | + | 1.67247i | 0.516815 | + | 0.0543194i | ||||
\(949\) | 4.45826 | + | 42.4175i | 0.144721 | + | 1.37693i | ||||
\(950\) | 4.15622 | + | 3.64796i | 0.134846 | + | 0.118355i | ||||
\(951\) | 9.97594 | + | 4.44157i | 0.323492 | + | 0.144028i | ||||
\(952\) | 90.8731 | + | 81.8225i | 2.94521 | + | 2.65188i | ||||
\(953\) | 1.14177 | − | 0.370982i | 0.0369854 | − | 0.0120173i | −0.290466 | − | 0.956885i | \(-0.593810\pi\) |
0.327451 | + | 0.944868i | \(0.393810\pi\) | |||||||
\(954\) | 22.5882 | + | 25.0868i | 0.731321 | + | 0.812214i | ||||
\(955\) | 51.0591 | + | 10.5152i | 1.65223 | + | 0.340263i | ||||
\(956\) | −52.1144 | − | 90.2648i | −1.68550 | − | 2.91937i | ||||
\(957\) | 1.36920 | + | 0.444881i | 0.0442600 | + | 0.0143809i | ||||
\(958\) | −25.5891 | − | 57.4741i | −0.826747 | − | 1.85690i | ||||
\(959\) | −30.0360 | + | 21.8224i | −0.969913 | + | 0.704683i | ||||
\(960\) | 5.10825 | − | 1.69564i | 0.164868 | − | 0.0547265i | ||||
\(961\) | 2.78120 | − | 30.8750i | 0.0897163 | − | 0.995967i | ||||
\(962\) | 24.4418i | 0.788036i | ||||||||
\(963\) | 6.30385 | + | 8.67651i | 0.203139 | + | 0.279596i | ||||
\(964\) | −5.06068 | + | 2.25316i | −0.162993 | + | 0.0725694i | ||||
\(965\) | −0.0149280 | − | 2.35534i | −0.000480550 | − | 0.0758210i | ||||
\(966\) | 12.7249 | + | 22.0402i | 0.409417 | + | 0.709130i | ||||
\(967\) | 38.4970 | + | 22.2263i | 1.23798 | + | 0.714748i | 0.968681 | − | 0.248308i | \(-0.0798745\pi\) |
0.269299 | + | 0.963057i | \(0.413208\pi\) | |||||||
\(968\) | −28.2128 | + | 25.4030i | −0.906795 | + | 0.816482i | ||||
\(969\) | 0.884983 | + | 2.72370i | 0.0284298 | + | 0.0874978i | ||||
\(970\) | −90.1582 | − | 39.4582i | −2.89480 | − | 1.26693i | ||||
\(971\) | −36.3099 | − | 16.1662i | −1.16524 | − | 0.518798i | −0.269336 | − | 0.963046i | \(-0.586804\pi\) |
−0.895904 | + | 0.444248i | \(0.853471\pi\) | |||||||
\(972\) | 14.1838 | + | 66.7297i | 0.454946 | + | 2.14035i | ||||
\(973\) | 51.0115 | − | 5.36152i | 1.63535 | − | 0.171883i | ||||
\(974\) | −10.4787 | + | 99.6986i | −0.335761 | + | 3.19455i | ||||
\(975\) | 27.6961 | − | 12.7542i | 0.886985 | − | 0.408460i | ||||
\(976\) | 33.2315 | + | 24.1441i | 1.06371 | + | 0.772833i | ||||
\(977\) | −16.3146 | + | 22.4552i | −0.521951 | + | 0.718404i | −0.985877 | − | 0.167470i | \(-0.946440\pi\) |
0.463926 | + | 0.885874i | \(0.346440\pi\) | |||||||
\(978\) | −1.94973 | + | 9.17275i | −0.0623454 | + | 0.293312i | ||||
\(979\) | −3.71281 | + | 35.3250i | −0.118662 | + | 1.12899i | ||||
\(980\) | −36.7652 | + | 16.6489i | −1.17442 | + | 0.531830i | ||||
\(981\) | 1.12187 | − | 0.238461i | 0.0358185 | − | 0.00761347i | ||||
\(982\) | 23.4452 | − | 52.6587i | 0.748165 | − | 1.68041i | ||||
\(983\) | −4.06617 | − | 3.66119i | −0.129691 | − | 0.116774i | 0.601733 | − | 0.798697i | \(-0.294477\pi\) |
−0.731424 | + | 0.681923i | \(0.761144\pi\) | |||||||
\(984\) | −11.8767 | − | 36.5527i | −0.378615 | − | 1.16526i | ||||
\(985\) | −10.6668 | − | 6.06870i | −0.339874 | − | 0.193365i | ||||
\(986\) | 4.78381 | − | 8.28580i | 0.152347 | − | 0.263874i | ||||
\(987\) | 40.0064 | − | 23.0977i | 1.27342 | − | 0.735207i | ||||
\(988\) | 10.3775 | + | 3.37184i | 0.330151 | + | 0.107273i | ||||
\(989\) | 8.72758 | − | 3.88577i | 0.277521 | − | 0.123560i | ||||
\(990\) | 13.1819 | − | 18.3873i | 0.418948 | − | 0.584386i | ||||
\(991\) | 6.88861 | 0.218824 | 0.109412 | − | 0.993996i | \(-0.465103\pi\) | ||||
0.109412 | + | 0.993996i | \(0.465103\pi\) | |||||||
\(992\) | −15.7514 | − | 17.2341i | −0.500109 | − | 0.547183i | ||||
\(993\) | 16.8365i | 0.534289i | ||||||||
\(994\) | 23.5505 | − | 17.1104i | 0.746975 | − | 0.542709i | ||||
\(995\) | 29.7355 | + | 32.6067i | 0.942680 | + | 1.03370i | ||||
\(996\) | −1.64395 | + | 5.05954i | −0.0520904 | + | 0.160318i | ||||
\(997\) | 11.4097 | − | 6.58742i | 0.361350 | − | 0.208626i | −0.308323 | − | 0.951282i | \(-0.599768\pi\) |
0.669673 | + | 0.742656i | \(0.266434\pi\) | |||||||
\(998\) | −3.63536 | − | 2.09888i | −0.115075 | − | 0.0664388i | ||||
\(999\) | −5.91705 | − | 6.57154i | −0.187207 | − | 0.207914i |
(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 | 155.2.u.a.49.2 | yes | 112 | |
5.2 | odd | 4 | 775.2.bl.f.576.13 | 112 | |||
5.3 | odd | 4 | 775.2.bl.f.576.2 | 112 | |||
5.4 | even | 2 | inner | 155.2.u.a.49.13 | yes | 112 | |
31.19 | even | 15 | inner | 155.2.u.a.19.13 | yes | 112 | |
155.19 | even | 30 | inner | 155.2.u.a.19.2 | ✓ | 112 | |
155.112 | odd | 60 | 775.2.bl.f.701.13 | 112 | |||
155.143 | odd | 60 | 775.2.bl.f.701.2 | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
155.2.u.a.19.2 | ✓ | 112 | 155.19 | even | 30 | inner | |
155.2.u.a.19.13 | yes | 112 | 31.19 | even | 15 | inner | |
155.2.u.a.49.2 | yes | 112 | 1.1 | even | 1 | trivial | |
155.2.u.a.49.13 | yes | 112 | 5.4 | even | 2 | inner | |
775.2.bl.f.576.2 | 112 | 5.3 | odd | 4 | |||
775.2.bl.f.576.13 | 112 | 5.2 | odd | 4 | |||
775.2.bl.f.701.2 | 112 | 155.143 | odd | 60 | |||
775.2.bl.f.701.13 | 112 | 155.112 | odd | 60 |