Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.15 | ||
Character | \(\chi\) | \(=\) | 300.11 |
Dual form | 300.2.n.a.191.15 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00488 | + | 0.995099i | −0.710556 | + | 0.703641i | ||||
\(3\) | −0.799639 | − | 1.53642i | −0.461672 | − | 0.887051i | ||||
\(4\) | 0.0195579 | − | 1.99990i | 0.00977893 | − | 0.999952i | ||||
\(5\) | −0.411823 | − | 2.19782i | −0.184173 | − | 0.982894i | ||||
\(6\) | 2.33243 | + | 0.748191i | 0.952209 | + | 0.305448i | ||||
\(7\) | − | 3.34784i | − | 1.26536i | −0.774412 | − | 0.632681i | \(-0.781954\pi\) | ||
0.774412 | − | 0.632681i | \(-0.218046\pi\) | |||||||
\(8\) | 1.97045 | + | 2.02912i | 0.696659 | + | 0.717403i | ||||
\(9\) | −1.72115 | + | 2.45716i | −0.573718 | + | 0.819053i | ||||
\(10\) | 2.60088 | + | 1.79873i | 0.822469 | + | 0.568809i | ||||
\(11\) | −5.09925 | + | 3.70482i | −1.53748 | + | 1.11705i | −0.585592 | + | 0.810606i | \(0.699138\pi\) |
−0.951890 | + | 0.306440i | \(0.900862\pi\) | |||||||
\(12\) | −3.08833 | + | 1.56915i | −0.891523 | + | 0.452975i | ||||
\(13\) | 1.13075 | + | 0.821541i | 0.313615 | + | 0.227854i | 0.733446 | − | 0.679748i | \(-0.237911\pi\) |
−0.419831 | + | 0.907602i | \(0.637911\pi\) | |||||||
\(14\) | 3.33143 | + | 3.36416i | 0.890361 | + | 0.899111i | ||||
\(15\) | −3.04745 | + | 2.39019i | −0.786849 | + | 0.617145i | ||||
\(16\) | −3.99923 | − | 0.0782277i | −0.999809 | − | 0.0195569i | ||||
\(17\) | −3.45194 | + | 1.12160i | −0.837219 | + | 0.272029i | −0.696083 | − | 0.717961i | \(-0.745076\pi\) |
−0.141136 | + | 0.989990i | \(0.545076\pi\) | |||||||
\(18\) | −0.715566 | − | 4.18186i | −0.168661 | − | 0.985674i | ||||
\(19\) | 1.47558 | − | 0.479446i | 0.338522 | − | 0.109993i | −0.134823 | − | 0.990870i | \(-0.543046\pi\) |
0.473345 | + | 0.880877i | \(0.343046\pi\) | |||||||
\(20\) | −4.40348 | + | 0.780622i | −0.984648 | + | 0.174552i | ||||
\(21\) | −5.14367 | + | 2.67706i | −1.12244 | + | 0.584182i | ||||
\(22\) | 1.43746 | − | 8.79715i | 0.306467 | − | 1.87556i | ||||
\(23\) | 5.31849 | − | 3.86411i | 1.10898 | − | 0.805722i | 0.126479 | − | 0.991969i | \(-0.459632\pi\) |
0.982503 | + | 0.186247i | \(0.0596325\pi\) | |||||||
\(24\) | 1.54193 | − | 4.65000i | 0.314745 | − | 0.949176i | ||||
\(25\) | −4.66080 | + | 1.81022i | −0.932161 | + | 0.362045i | ||||
\(26\) | −1.95378 | + | 0.299664i | −0.383168 | + | 0.0587689i | ||||
\(27\) | 5.15152 | + | 0.679569i | 0.991411 | + | 0.130783i | ||||
\(28\) | −6.69535 | − | 0.0654765i | −1.26530 | − | 0.0123739i | ||||
\(29\) | −2.46654 | − | 0.801428i | −0.458025 | − | 0.148821i | 0.0709117 | − | 0.997483i | \(-0.477409\pi\) |
−0.528937 | + | 0.848661i | \(0.677409\pi\) | |||||||
\(30\) | 0.683841 | − | 5.43437i | 0.124852 | − | 0.992175i | ||||
\(31\) | −3.51579 | + | 1.14235i | −0.631455 | + | 0.205172i | −0.607220 | − | 0.794534i | \(-0.707715\pi\) |
−0.0242355 | + | 0.999706i | \(0.507715\pi\) | |||||||
\(32\) | 4.09659 | − | 3.90102i | 0.724181 | − | 0.689610i | ||||
\(33\) | 9.76971 | + | 4.87205i | 1.70069 | + | 0.848116i | ||||
\(34\) | 2.35267 | − | 4.56210i | 0.403480 | − | 0.782394i | ||||
\(35\) | −7.35793 | + | 1.37871i | −1.24372 | + | 0.233045i | ||||
\(36\) | 4.88042 | + | 3.49020i | 0.813403 | + | 0.581700i | ||||
\(37\) | −4.63882 | − | 3.37030i | −0.762618 | − | 0.554074i | 0.137094 | − | 0.990558i | \(-0.456224\pi\) |
−0.899712 | + | 0.436484i | \(0.856224\pi\) | |||||||
\(38\) | −1.00568 | + | 1.95014i | −0.163144 | + | 0.316354i | ||||
\(39\) | 0.358034 | − | 2.39425i | 0.0573313 | − | 0.383386i | ||||
\(40\) | 3.64816 | − | 5.16632i | 0.576825 | − | 0.816868i | ||||
\(41\) | 0.595517 | − | 0.819659i | 0.0930042 | − | 0.128009i | −0.759979 | − | 0.649948i | \(-0.774791\pi\) |
0.852983 | + | 0.521938i | \(0.174791\pi\) | |||||||
\(42\) | 2.50482 | − | 7.80858i | 0.386502 | − | 1.20489i | ||||
\(43\) | − | 2.65658i | − | 0.405124i | −0.979269 | − | 0.202562i | \(-0.935073\pi\) | ||
0.979269 | − | 0.202562i | \(-0.0649268\pi\) | |||||||
\(44\) | 7.30956 | + | 10.2705i | 1.10196 | + | 1.54833i | ||||
\(45\) | 6.10920 | + | 2.77087i | 0.910705 | + | 0.413057i | ||||
\(46\) | −1.49926 | + | 9.17538i | −0.221054 | + | 1.35284i | ||||
\(47\) | 1.36431 | − | 4.19891i | 0.199005 | − | 0.612475i | −0.800901 | − | 0.598796i | \(-0.795646\pi\) |
0.999906 | − | 0.0136783i | \(-0.00435408\pi\) | |||||||
\(48\) | 3.07776 | + | 6.20705i | 0.444236 | + | 0.895910i | ||||
\(49\) | −4.20800 | −0.601143 | ||||||||
\(50\) | 2.88219 | − | 6.45701i | 0.407603 | − | 0.913159i | ||||
\(51\) | 4.48356 | + | 4.40675i | 0.627824 | + | 0.617068i | ||||
\(52\) | 1.66512 | − | 2.24533i | 0.230910 | − | 0.311372i | ||||
\(53\) | −8.76207 | − | 2.84697i | −1.20356 | − | 0.391061i | −0.362493 | − | 0.931987i | \(-0.618074\pi\) |
−0.841071 | + | 0.540925i | \(0.818074\pi\) | |||||||
\(54\) | −5.85289 | + | 4.44339i | −0.796477 | + | 0.604669i | ||||
\(55\) | 10.2425 | + | 9.68149i | 1.38110 | + | 1.30545i | ||||
\(56\) | 6.79316 | − | 6.59674i | 0.907775 | − | 0.881526i | ||||
\(57\) | −1.91656 | − | 1.88373i | −0.253855 | − | 0.249506i | ||||
\(58\) | 3.27607 | − | 1.64911i | 0.430169 | − | 0.216539i | ||||
\(59\) | −5.57763 | − | 4.05239i | −0.726146 | − | 0.527576i | 0.162196 | − | 0.986759i | \(-0.448142\pi\) |
−0.888342 | + | 0.459183i | \(0.848142\pi\) | |||||||
\(60\) | 4.72056 | + | 6.14136i | 0.609421 | + | 0.792847i | ||||
\(61\) | 1.88476 | − | 1.36935i | 0.241318 | − | 0.175328i | −0.460552 | − | 0.887633i | \(-0.652349\pi\) |
0.701870 | + | 0.712305i | \(0.252349\pi\) | |||||||
\(62\) | 2.39619 | − | 4.64648i | 0.304316 | − | 0.590104i | ||||
\(63\) | 8.22616 | + | 5.76214i | 1.03640 | + | 0.725961i | ||||
\(64\) | −0.234664 | + | 7.99656i | −0.0293330 | + | 0.999570i | ||||
\(65\) | 1.33993 | − | 2.82352i | 0.166197 | − | 0.350215i | ||||
\(66\) | −14.6655 | + | 4.82601i | −1.80520 | + | 0.594041i | ||||
\(67\) | −11.2107 | + | 3.64258i | −1.36961 | + | 0.445012i | −0.899239 | − | 0.437458i | \(-0.855879\pi\) |
−0.470368 | + | 0.882470i | \(0.655879\pi\) | |||||||
\(68\) | 2.17559 | + | 6.92549i | 0.263829 | + | 0.839839i | ||||
\(69\) | −10.1898 | − | 5.08152i | −1.22670 | − | 0.611744i | ||||
\(70\) | 6.02186 | − | 8.70731i | 0.719750 | − | 1.04072i | ||||
\(71\) | 1.51056 | − | 4.64904i | 0.179271 | − | 0.551739i | −0.820532 | − | 0.571601i | \(-0.806323\pi\) |
0.999803 | + | 0.0198616i | \(0.00632257\pi\) | |||||||
\(72\) | −8.37732 | + | 1.34928i | −0.987276 | + | 0.159014i | ||||
\(73\) | 6.90929 | − | 5.01989i | 0.808671 | − | 0.587534i | −0.104774 | − | 0.994496i | \(-0.533412\pi\) |
0.913445 | + | 0.406962i | \(0.133412\pi\) | |||||||
\(74\) | 8.01523 | − | 1.22934i | 0.931752 | − | 0.142908i | ||||
\(75\) | 6.50822 | + | 5.71341i | 0.751504 | + | 0.659728i | ||||
\(76\) | −0.929987 | − | 2.96040i | −0.106677 | − | 0.339582i | ||||
\(77\) | 12.4031 | + | 17.0714i | 1.41347 | + | 1.94547i | ||||
\(78\) | 2.02273 | + | 2.76220i | 0.229029 | + | 0.312758i | ||||
\(79\) | 11.2954 | + | 3.67009i | 1.27083 | + | 0.412917i | 0.865341 | − | 0.501183i | \(-0.167102\pi\) |
0.405487 | + | 0.914101i | \(0.367102\pi\) | |||||||
\(80\) | 1.47505 | + | 8.82180i | 0.164915 | + | 0.986308i | ||||
\(81\) | −3.07526 | − | 8.45830i | −0.341695 | − | 0.939811i | ||||
\(82\) | 0.217220 | + | 1.41626i | 0.0239879 | + | 0.156399i | ||||
\(83\) | −1.69102 | − | 5.20442i | −0.185613 | − | 0.571260i | 0.814345 | − | 0.580381i | \(-0.197096\pi\) |
−0.999958 | + | 0.00912165i | \(0.997096\pi\) | |||||||
\(84\) | 5.25327 | + | 10.3392i | 0.573178 | + | 1.12810i | ||||
\(85\) | 3.88667 | + | 7.12484i | 0.421569 | + | 0.772797i | ||||
\(86\) | 2.64356 | + | 2.66953i | 0.285062 | + | 0.287863i | ||||
\(87\) | 0.741016 | + | 4.43049i | 0.0794452 | + | 0.474998i | ||||
\(88\) | −17.5653 | − | 3.04683i | −1.87247 | − | 0.324794i | ||||
\(89\) | 5.68017 | + | 7.81809i | 0.602097 | + | 0.828716i | 0.995898 | − | 0.0904800i | \(-0.0288401\pi\) |
−0.393801 | + | 0.919196i | \(0.628840\pi\) | |||||||
\(90\) | −8.89628 | + | 3.29487i | −0.937750 | + | 0.347310i | ||||
\(91\) | 2.75038 | − | 3.78558i | 0.288319 | − | 0.396836i | ||||
\(92\) | −7.62383 | − | 10.7120i | −0.794839 | − | 1.11681i | ||||
\(93\) | 4.56649 | + | 4.48826i | 0.473523 | + | 0.465410i | ||||
\(94\) | 2.80737 | + | 5.57702i | 0.289558 | + | 0.575225i | ||||
\(95\) | −1.66141 | − | 3.04562i | −0.170458 | − | 0.312474i | ||||
\(96\) | −9.26939 | − | 3.17465i | −0.946053 | − | 0.324012i | ||||
\(97\) | −2.29478 | + | 7.06261i | −0.233000 | + | 0.717100i | 0.764381 | + | 0.644765i | \(0.223045\pi\) |
−0.997380 | + | 0.0723344i | \(0.976955\pi\) | |||||||
\(98\) | 4.22852 | − | 4.18737i | 0.427145 | − | 0.422989i | ||||
\(99\) | −0.326741 | − | 18.9062i | −0.0328387 | − | 1.90015i | ||||
\(100\) | 3.52912 | + | 9.35657i | 0.352912 | + | 0.935657i | ||||
\(101\) | − | 8.98869i | − | 0.894408i | −0.894432 | − | 0.447204i | \(-0.852420\pi\) | ||
0.894432 | − | 0.447204i | \(-0.147580\pi\) | |||||||
\(102\) | −8.89058 | + | 0.0333460i | −0.880298 | + | 0.00330174i | ||||
\(103\) | −3.62270 | − | 1.17709i | −0.356955 | − | 0.115982i | 0.125049 | − | 0.992151i | \(-0.460091\pi\) |
−0.482004 | + | 0.876169i | \(0.660091\pi\) | |||||||
\(104\) | 0.561087 | + | 3.91324i | 0.0550191 | + | 0.383725i | ||||
\(105\) | 8.00197 | + | 10.2024i | 0.780912 | + | 0.995650i | ||||
\(106\) | 11.6378 | − | 5.85827i | 1.13037 | − | 0.569005i | ||||
\(107\) | −6.04919 | −0.584797 | −0.292398 | − | 0.956297i | \(-0.594453\pi\) | ||||
−0.292398 | + | 0.956297i | \(0.594453\pi\) | |||||||
\(108\) | 1.45983 | − | 10.2893i | 0.140472 | − | 0.990085i | ||||
\(109\) | −1.43450 | − | 1.04222i | −0.137400 | − | 0.0998270i | 0.516962 | − | 0.856008i | \(-0.327063\pi\) |
−0.654362 | + | 0.756181i | \(0.727063\pi\) | |||||||
\(110\) | −19.9265 | + | 0.463594i | −1.89992 | + | 0.0442019i | ||||
\(111\) | −1.46880 | + | 9.82219i | −0.139413 | + | 0.932281i | ||||
\(112\) | −0.261893 | + | 13.3888i | −0.0247466 | + | 1.26512i | ||||
\(113\) | 12.0444 | − | 16.5777i | 1.13304 | − | 1.55950i | 0.350883 | − | 0.936419i | \(-0.385881\pi\) |
0.782159 | − | 0.623079i | \(-0.214119\pi\) | |||||||
\(114\) | 3.80041 | − | 0.0142542i | 0.355941 | − | 0.00133503i | ||||
\(115\) | −10.6829 | − | 10.0977i | −0.996184 | − | 0.941619i | ||||
\(116\) | −1.65102 | + | 4.91717i | −0.153293 | + | 0.456548i | ||||
\(117\) | −3.96486 | + | 1.36444i | −0.366551 | + | 0.126143i | ||||
\(118\) | 9.63736 | − | 1.47814i | 0.887191 | − | 0.136074i | ||||
\(119\) | 3.75495 | + | 11.5565i | 0.344215 | + | 1.05939i | ||||
\(120\) | −10.8548 | − | 1.47390i | −0.990907 | − | 0.134548i | ||||
\(121\) | 8.87746 | − | 27.3220i | 0.807042 | − | 2.48382i | ||||
\(122\) | −0.531305 | + | 3.25155i | −0.0481021 | + | 0.294382i | ||||
\(123\) | −1.73554 | − | 0.259531i | −0.156488 | − | 0.0234011i | ||||
\(124\) | 2.21583 | + | 7.05359i | 0.198987 | + | 0.633431i | ||||
\(125\) | 5.89796 | + | 9.49811i | 0.527530 | + | 0.849536i | ||||
\(126\) | −14.0002 | + | 2.39560i | −1.24724 | + | 0.213417i | ||||
\(127\) | −8.50764 | − | 11.7098i | −0.754931 | − | 1.03907i | −0.997619 | − | 0.0689693i | \(-0.978029\pi\) |
0.242687 | − | 0.970105i | \(-0.421971\pi\) | |||||||
\(128\) | −7.72155 | − | 8.26908i | −0.682495 | − | 0.730890i | ||||
\(129\) | −4.08161 | + | 2.12430i | −0.359366 | + | 0.187034i | ||||
\(130\) | 1.46322 | + | 4.17065i | 0.128333 | + | 0.365790i | ||||
\(131\) | −2.68469 | − | 8.26263i | −0.234563 | − | 0.721909i | −0.997179 | − | 0.0750585i | \(-0.976086\pi\) |
0.762617 | − | 0.646851i | \(-0.223914\pi\) | |||||||
\(132\) | 9.93472 | − | 19.4432i | 0.864706 | − | 1.69231i | ||||
\(133\) | −1.60511 | − | 4.94001i | −0.139180 | − | 0.428353i | ||||
\(134\) | 7.64067 | − | 14.8161i | 0.660053 | − | 1.27992i | ||||
\(135\) | −0.627945 | − | 11.6020i | −0.0540449 | − | 0.998539i | ||||
\(136\) | −9.07775 | − | 4.79435i | −0.778411 | − | 0.411112i | ||||
\(137\) | 5.09574 | − | 7.01369i | 0.435359 | − | 0.599220i | −0.533814 | − | 0.845602i | \(-0.679242\pi\) |
0.969173 | + | 0.246382i | \(0.0792418\pi\) | |||||||
\(138\) | 15.2961 | − | 5.03350i | 1.30209 | − | 0.428480i | ||||
\(139\) | 2.41927 | + | 3.32984i | 0.205200 | + | 0.282434i | 0.899197 | − | 0.437545i | \(-0.144152\pi\) |
−0.693997 | + | 0.719978i | \(0.744152\pi\) | |||||||
\(140\) | 2.61339 | + | 14.7421i | 0.220872 | + | 1.24594i | ||||
\(141\) | −7.54224 | + | 1.26147i | −0.635171 | + | 0.106235i | ||||
\(142\) | 3.10832 | + | 6.17487i | 0.260844 | + | 0.518184i | ||||
\(143\) | −8.80966 | −0.736701 | ||||||||
\(144\) | 7.07552 | − | 9.69211i | 0.589626 | − | 0.807676i | ||||
\(145\) | −0.745614 | + | 5.75105i | −0.0619199 | + | 0.477599i | ||||
\(146\) | −1.94770 | + | 11.9198i | −0.161193 | + | 0.986490i | ||||
\(147\) | 3.36488 | + | 6.46524i | 0.277531 | + | 0.533244i | ||||
\(148\) | −6.83101 | + | 9.21128i | −0.561505 | + | 0.757163i | ||||
\(149\) | − | 1.23958i | − | 0.101551i | −0.998710 | − | 0.0507753i | \(-0.983831\pi\) | ||
0.998710 | − | 0.0507753i | \(-0.0161692\pi\) | |||||||
\(150\) | −12.2254 | + | 0.735039i | −0.998197 | + | 0.0600157i | ||||
\(151\) | 12.5623i | 1.02230i | 0.859491 | + | 0.511151i | \(0.170781\pi\) | ||||
−0.859491 | + | 0.511151i | \(0.829219\pi\) | |||||||
\(152\) | 3.88042 | + | 2.04941i | 0.314743 | + | 0.166229i | ||||
\(153\) | 3.18537 | − | 10.4124i | 0.257522 | − | 0.841795i | ||||
\(154\) | −29.4514 | − | 4.81238i | −2.37326 | − | 0.387792i | ||||
\(155\) | 3.95856 | + | 7.25663i | 0.317959 | + | 0.582866i | ||||
\(156\) | −4.78126 | − | 0.762860i | −0.382807 | − | 0.0610777i | ||||
\(157\) | −8.80894 | −0.703030 | −0.351515 | − | 0.936182i | \(-0.614333\pi\) | ||||
−0.351515 | + | 0.936182i | \(0.614333\pi\) | |||||||
\(158\) | −15.0026 | + | 7.55202i | −1.19354 | + | 0.600806i | ||||
\(159\) | 2.63237 | + | 15.7387i | 0.208760 | + | 1.24816i | ||||
\(160\) | −10.2608 | − | 7.39702i | −0.811188 | − | 0.584786i | ||||
\(161\) | −12.9364 | − | 17.8054i | −1.01953 | − | 1.40326i | ||||
\(162\) | 11.5071 | + | 5.43937i | 0.904083 | + | 0.427357i | ||||
\(163\) | 3.05216 | − | 4.20094i | 0.239064 | − | 0.329043i | −0.672580 | − | 0.740024i | \(-0.734814\pi\) |
0.911644 | + | 0.410981i | \(0.134814\pi\) | |||||||
\(164\) | −1.62759 | − | 1.20701i | −0.127094 | − | 0.0942515i | ||||
\(165\) | 6.68449 | − | 23.4785i | 0.520387 | − | 1.82780i | ||||
\(166\) | 6.87818 | + | 3.54708i | 0.533850 | + | 0.275307i | ||||
\(167\) | −1.27458 | − | 3.92276i | −0.0986300 | − | 0.303552i | 0.889553 | − | 0.456833i | \(-0.151016\pi\) |
−0.988183 | + | 0.153281i | \(0.951016\pi\) | |||||||
\(168\) | −15.5674 | − | 5.16212i | −1.20105 | − | 0.398266i | ||||
\(169\) | −3.41355 | − | 10.5058i | −0.262580 | − | 0.808139i | ||||
\(170\) | −10.9955 | − | 3.29197i | −0.843320 | − | 0.252483i | ||||
\(171\) | −1.36163 | + | 4.45094i | −0.104127 | + | 0.340372i | ||||
\(172\) | −5.31290 | − | 0.0519569i | −0.405105 | − | 0.00396168i | ||||
\(173\) | 3.74016 | + | 5.14789i | 0.284359 | + | 0.391387i | 0.927172 | − | 0.374637i | \(-0.122233\pi\) |
−0.642812 | + | 0.766024i | \(0.722233\pi\) | |||||||
\(174\) | −5.15340 | − | 3.71471i | −0.390678 | − | 0.281612i | ||||
\(175\) | 6.06033 | + | 15.6036i | 0.458118 | + | 1.17952i | ||||
\(176\) | 20.6829 | − | 14.4176i | 1.55903 | − | 1.08676i | ||||
\(177\) | −1.76606 | + | 11.8100i | −0.132745 | + | 0.887695i | ||||
\(178\) | −13.4876 | − | 2.20389i | −1.01094 | − | 0.165188i | ||||
\(179\) | −0.377475 | + | 1.16175i | −0.0282138 | + | 0.0868332i | −0.964172 | − | 0.265278i | \(-0.914536\pi\) |
0.935958 | + | 0.352111i | \(0.114536\pi\) | |||||||
\(180\) | 5.66095 | − | 12.1636i | 0.421943 | − | 0.906623i | ||||
\(181\) | 7.35700 | + | 22.6425i | 0.546842 | + | 1.68301i | 0.716570 | + | 0.697515i | \(0.245711\pi\) |
−0.169729 | + | 0.985491i | \(0.554289\pi\) | |||||||
\(182\) | 1.00322 | + | 6.54095i | 0.0743639 | + | 0.484847i | ||||
\(183\) | −3.61102 | − | 1.80078i | −0.266935 | − | 0.133117i | ||||
\(184\) | 18.3206 | + | 3.17783i | 1.35061 | + | 0.234273i | ||||
\(185\) | −5.49694 | + | 11.5833i | −0.404143 | + | 0.851618i | ||||
\(186\) | −9.05502 | + | 0.0339628i | −0.663946 | + | 0.00249027i | ||||
\(187\) | 13.4470 | − | 18.5082i | 0.983341 | − | 1.35345i | ||||
\(188\) | −8.37074 | − | 2.81061i | −0.610499 | − | 0.204985i | ||||
\(189\) | 2.27509 | − | 17.2464i | 0.165488 | − | 1.25449i | ||||
\(190\) | 4.70021 | + | 1.40720i | 0.340989 | + | 0.102089i | ||||
\(191\) | 3.06169 | + | 2.22445i | 0.221536 | + | 0.160955i | 0.693018 | − | 0.720920i | \(-0.256281\pi\) |
−0.471482 | + | 0.881876i | \(0.656281\pi\) | |||||||
\(192\) | 12.4737 | − | 6.03382i | 0.900211 | − | 0.435453i | ||||
\(193\) | 17.8773 | 1.28684 | 0.643419 | − | 0.765514i | \(-0.277515\pi\) | ||||
0.643419 | + | 0.765514i | \(0.277515\pi\) | |||||||
\(194\) | −4.72202 | − | 9.38059i | −0.339021 | − | 0.673487i | ||||
\(195\) | −5.40956 | + | 0.199112i | −0.387387 | + | 0.0142587i | ||||
\(196\) | −0.0822994 | + | 8.41560i | −0.00587853 | + | 0.601114i | ||||
\(197\) | 1.71113 | + | 0.555979i | 0.121913 | + | 0.0396118i | 0.369338 | − | 0.929295i | \(-0.379584\pi\) |
−0.247425 | + | 0.968907i | \(0.579584\pi\) | |||||||
\(198\) | 19.1419 | + | 18.6733i | 1.36036 | + | 1.32705i | ||||
\(199\) | 5.18249i | 0.367377i | 0.982985 | + | 0.183688i | \(0.0588037\pi\) | ||||
−0.982985 | + | 0.183688i | \(0.941196\pi\) | |||||||
\(200\) | −12.8570 | − | 5.89038i | −0.909130 | − | 0.416513i | ||||
\(201\) | 14.5611 | + | 14.3116i | 1.02706 | + | 1.00946i | ||||
\(202\) | 8.94463 | + | 9.03253i | 0.629342 | + | 0.635527i | ||||
\(203\) | −2.68305 | + | 8.25757i | −0.188313 | + | 0.579568i | ||||
\(204\) | 8.90076 | − | 8.88051i | 0.623178 | − | 0.621760i | ||||
\(205\) | −2.04671 | − | 0.971284i | −0.142948 | − | 0.0678374i | ||||
\(206\) | 4.81168 | − | 2.42211i | 0.335246 | − | 0.168757i | ||||
\(207\) | 0.340789 | + | 19.7191i | 0.0236865 | + | 1.37057i | ||||
\(208\) | −4.45788 | − | 3.37399i | −0.309099 | − | 0.233944i | ||||
\(209\) | −5.74811 | + | 7.91159i | −0.397605 | + | 0.547256i | ||||
\(210\) | −18.1934 | − | 2.28939i | −1.25546 | − | 0.157983i | ||||
\(211\) | −10.4078 | − | 14.3251i | −0.716502 | − | 0.986181i | −0.999633 | − | 0.0270992i | \(-0.991373\pi\) |
0.283131 | − | 0.959081i | \(-0.408627\pi\) | |||||||
\(212\) | −5.86504 | + | 17.4676i | −0.402812 | + | 1.19968i | ||||
\(213\) | −8.35077 | + | 1.39670i | −0.572185 | + | 0.0957001i | ||||
\(214\) | 6.07869 | − | 6.01954i | 0.415531 | − | 0.411487i | ||||
\(215\) | −5.83867 | + | 1.09404i | −0.398194 | + | 0.0746128i | ||||
\(216\) | 8.77188 | + | 11.7921i | 0.596851 | + | 0.802352i | ||||
\(217\) | 3.82440 | + | 11.7703i | 0.259617 | + | 0.799020i | ||||
\(218\) | 2.47861 | − | 0.380160i | 0.167873 | − | 0.0257477i | ||||
\(219\) | −13.2376 | − | 6.60145i | −0.894514 | − | 0.446085i | ||||
\(220\) | 19.5624 | − | 20.2947i | 1.31890 | − | 1.36827i | ||||
\(221\) | −4.82474 | − | 1.56765i | −0.324547 | − | 0.105452i | ||||
\(222\) | −8.29808 | − | 11.3317i | −0.556931 | − | 0.760534i | ||||
\(223\) | 8.43606 | + | 11.6112i | 0.564920 | + | 0.777546i | 0.991942 | − | 0.126696i | \(-0.0404371\pi\) |
−0.427021 | + | 0.904242i | \(0.640437\pi\) | |||||||
\(224\) | −13.0600 | − | 13.7147i | −0.872607 | − | 0.916351i | ||||
\(225\) | 3.57396 | − | 14.5680i | 0.238264 | − | 0.971200i | ||||
\(226\) | 4.39329 | + | 28.6439i | 0.292237 | + | 1.90537i | ||||
\(227\) | −16.6945 | + | 12.1293i | −1.10806 | + | 0.805049i | −0.982356 | − | 0.187019i | \(-0.940117\pi\) |
−0.125699 | + | 0.992068i | \(0.540117\pi\) | |||||||
\(228\) | −3.80476 | + | 3.79610i | −0.251976 | + | 0.251403i | ||||
\(229\) | −0.393608 | + | 1.21140i | −0.0260103 | + | 0.0800516i | −0.963219 | − | 0.268717i | \(-0.913400\pi\) |
0.937209 | + | 0.348769i | \(0.113400\pi\) | |||||||
\(230\) | 20.7832 | − | 0.483526i | 1.37041 | − | 0.0318827i | ||||
\(231\) | 16.3108 | − | 32.7074i | 1.07317 | − | 2.15199i | ||||
\(232\) | −3.23400 | − | 6.58408i | −0.212322 | − | 0.432266i | ||||
\(233\) | −14.6639 | + | 4.76458i | −0.960661 | + | 0.312138i | −0.747040 | − | 0.664779i | \(-0.768526\pi\) |
−0.213621 | + | 0.976917i | \(0.568526\pi\) | |||||||
\(234\) | 2.62644 | − | 5.31652i | 0.171696 | − | 0.347552i | ||||
\(235\) | −9.79030 | − | 1.26930i | −0.638649 | − | 0.0827997i | ||||
\(236\) | −8.21347 | + | 11.0755i | −0.534651 | + | 0.720952i | ||||
\(237\) | −3.39344 | − | 20.2891i | −0.220427 | − | 1.31792i | ||||
\(238\) | −15.2732 | − | 7.87636i | −0.990012 | − | 0.510549i | ||||
\(239\) | 3.26050 | − | 2.36889i | 0.210904 | − | 0.153231i | −0.477318 | − | 0.878730i | \(-0.658391\pi\) |
0.688223 | + | 0.725499i | \(0.258391\pi\) | |||||||
\(240\) | 12.3745 | − | 9.32055i | 0.798768 | − | 0.601639i | ||||
\(241\) | −4.60913 | − | 3.34873i | −0.296900 | − | 0.215711i | 0.429355 | − | 0.903136i | \(-0.358741\pi\) |
−0.726255 | + | 0.687425i | \(0.758741\pi\) | |||||||
\(242\) | 18.2673 | + | 36.2892i | 1.17427 | + | 2.33276i | ||||
\(243\) | −10.5364 | + | 11.4885i | −0.675909 | + | 0.736985i | ||||
\(244\) | −2.70172 | − | 3.79611i | −0.172960 | − | 0.243021i | ||||
\(245\) | 1.73295 | + | 9.24841i | 0.110714 | + | 0.590860i | ||||
\(246\) | 2.00226 | − | 1.46623i | 0.127660 | − | 0.0934837i | ||||
\(247\) | 2.06241 | + | 0.670117i | 0.131228 | + | 0.0426385i | ||||
\(248\) | −9.24566 | − | 4.88303i | −0.587100 | − | 0.310072i | ||||
\(249\) | −6.64396 | + | 6.75977i | −0.421044 | + | 0.428383i | ||||
\(250\) | −15.3783 | − | 3.67538i | −0.972608 | − | 0.232451i | ||||
\(251\) | 15.9479 | 1.00662 | 0.503311 | − | 0.864105i | \(-0.332115\pi\) | ||||
0.503311 | + | 0.864105i | \(0.332115\pi\) | |||||||
\(252\) | 11.6846 | − | 16.3388i | 0.736062 | − | 1.02925i | ||||
\(253\) | −12.8045 | + | 39.4081i | −0.805010 | + | 2.47757i | ||||
\(254\) | 20.2015 | + | 3.30094i | 1.26756 | + | 0.207119i | ||||
\(255\) | 7.83879 | − | 11.6688i | 0.490884 | − | 0.730732i | ||||
\(256\) | 15.9878 | + | 0.625702i | 0.999235 | + | 0.0391064i | ||||
\(257\) | 23.3471i | 1.45635i | 0.685390 | + | 0.728176i | \(0.259632\pi\) | ||||
−0.685390 | + | 0.728176i | \(0.740368\pi\) | |||||||
\(258\) | 1.98763 | − | 6.19627i | 0.123744 | − | 0.385763i | ||||
\(259\) | −11.2832 | + | 15.5300i | −0.701105 | + | 0.964988i | ||||
\(260\) | −5.62056 | − | 2.73495i | −0.348573 | − | 0.169614i | ||||
\(261\) | 6.21453 | − | 4.68130i | 0.384670 | − | 0.289765i | ||||
\(262\) | 10.9199 | + | 5.63140i | 0.674635 | + | 0.347909i | ||||
\(263\) | 19.0858 | + | 13.8667i | 1.17688 | + | 0.855056i | 0.991817 | − | 0.127670i | \(-0.0407499\pi\) |
0.185067 | + | 0.982726i | \(0.440750\pi\) | |||||||
\(264\) | 9.36473 | + | 29.4241i | 0.576359 | + | 1.81093i | ||||
\(265\) | −2.64870 | + | 20.4299i | −0.162708 | + | 1.25500i | ||||
\(266\) | 6.52873 | + | 3.36687i | 0.400302 | + | 0.206436i | ||||
\(267\) | 7.46975 | − | 14.9788i | 0.457141 | − | 0.916686i | ||||
\(268\) | 7.06556 | + | 22.4916i | 0.431598 | + | 1.37389i | ||||
\(269\) | 12.0643 | − | 3.91992i | 0.735573 | − | 0.239002i | 0.0828109 | − | 0.996565i | \(-0.473610\pi\) |
0.652762 | + | 0.757563i | \(0.273610\pi\) | |||||||
\(270\) | 12.1761 | + | 11.0337i | 0.741014 | + | 0.671489i | ||||
\(271\) | −25.9384 | − | 8.42789i | −1.57564 | − | 0.511958i | −0.614714 | − | 0.788750i | \(-0.710728\pi\) |
−0.960930 | + | 0.276793i | \(0.910728\pi\) | |||||||
\(272\) | 13.8929 | − | 4.21552i | 0.842379 | − | 0.255604i | ||||
\(273\) | −8.01554 | − | 1.19864i | −0.485123 | − | 0.0725449i | ||||
\(274\) | 1.85871 | + | 12.1187i | 0.112289 | + | 0.732115i | ||||
\(275\) | 17.0601 | − | 26.4982i | 1.02876 | − | 1.59790i | ||||
\(276\) | −10.3619 | + | 20.2791i | −0.623710 | + | 1.22066i | ||||
\(277\) | 24.5492 | − | 17.8360i | 1.47502 | − | 1.07166i | 0.495900 | − | 0.868380i | \(-0.334838\pi\) |
0.979120 | − | 0.203284i | \(-0.0651616\pi\) | |||||||
\(278\) | −5.74459 | − | 0.938670i | −0.344538 | − | 0.0562977i | ||||
\(279\) | 3.24428 | − | 10.6050i | 0.194230 | − | 0.634906i | ||||
\(280\) | −17.2960 | − | 12.2134i | −1.03363 | − | 0.729893i | ||||
\(281\) | −0.511219 | + | 0.166105i | −0.0304968 | + | 0.00990899i | −0.324226 | − | 0.945980i | \(-0.605104\pi\) |
0.293729 | + | 0.955889i | \(0.405104\pi\) | |||||||
\(282\) | 6.32374 | − | 8.77289i | 0.376573 | − | 0.522418i | ||||
\(283\) | 20.1010 | − | 6.53121i | 1.19488 | − | 0.388240i | 0.357005 | − | 0.934102i | \(-0.383798\pi\) |
0.837875 | + | 0.545862i | \(0.183798\pi\) | |||||||
\(284\) | −9.26809 | − | 3.11191i | −0.549960 | − | 0.184658i | ||||
\(285\) | −3.35081 | + | 4.98802i | −0.198485 | + | 0.295465i | ||||
\(286\) | 8.85263 | − | 8.76648i | 0.523467 | − | 0.518373i | ||||
\(287\) | −2.74408 | − | 1.99369i | −0.161978 | − | 0.117684i | ||||
\(288\) | 2.53458 | + | 16.7802i | 0.149352 | + | 0.988784i | ||||
\(289\) | −3.09537 | + | 2.24892i | −0.182081 | + | 0.132289i | ||||
\(290\) | −4.97361 | − | 6.52106i | −0.292061 | − | 0.382930i | ||||
\(291\) | 12.6861 | − | 2.12180i | 0.743673 | − | 0.124382i | ||||
\(292\) | −9.90418 | − | 13.9161i | −0.579598 | − | 0.814378i | ||||
\(293\) | − | 32.2373i | − | 1.88332i | −0.336559 | − | 0.941662i | \(-0.609263\pi\) | ||
0.336559 | − | 0.941662i | \(-0.390737\pi\) | |||||||
\(294\) | −9.81485 | − | 3.14839i | −0.572413 | − | 0.183618i | ||||
\(295\) | −6.60941 | + | 13.9275i | −0.384815 | + | 0.810889i | ||||
\(296\) | −2.30181 | − | 16.0537i | −0.133790 | − | 0.933105i | ||||
\(297\) | −28.7866 | + | 15.6202i | −1.67037 | + | 0.906375i | ||||
\(298\) | 1.23351 | + | 1.24563i | 0.0714551 | + | 0.0721573i | ||||
\(299\) | 9.18843 | 0.531380 | ||||||||
\(300\) | 11.5536 | − | 12.9041i | 0.667045 | − | 0.745017i | ||||
\(301\) | −8.89378 | −0.512629 | ||||||||
\(302\) | −12.5007 | − | 12.6235i | −0.719334 | − | 0.726403i | ||||
\(303\) | −13.8104 | + | 7.18771i | −0.793385 | + | 0.412923i | ||||
\(304\) | −5.93871 | + | 1.80199i | −0.340609 | + | 0.103351i | ||||
\(305\) | −3.78578 | − | 3.57842i | −0.216773 | − | 0.204900i | ||||
\(306\) | 7.16049 | + | 13.6330i | 0.409338 | + | 0.779345i | ||||
\(307\) | 7.22877i | 0.412568i | 0.978492 | + | 0.206284i | \(0.0661371\pi\) | ||||
−0.978492 | + | 0.206284i | \(0.933863\pi\) | |||||||
\(308\) | 34.3838 | − | 24.4712i | 1.95920 | − | 1.39438i | ||||
\(309\) | 1.08836 | + | 6.50722i | 0.0619145 | + | 0.370183i | ||||
\(310\) | −11.1989 | − | 3.35286i | −0.636056 | − | 0.190430i | ||||
\(311\) | 16.9924 | − | 12.3457i | 0.963553 | − | 0.700062i | 0.00957975 | − | 0.999954i | \(-0.496951\pi\) |
0.953973 | + | 0.299892i | \(0.0969506\pi\) | |||||||
\(312\) | 5.56370 | − | 3.99124i | 0.314983 | − | 0.225960i | ||||
\(313\) | −3.39935 | − | 2.46977i | −0.192143 | − | 0.139600i | 0.487555 | − | 0.873092i | \(-0.337889\pi\) |
−0.679698 | + | 0.733493i | \(0.737889\pi\) | |||||||
\(314\) | 8.85191 | − | 8.76577i | 0.499542 | − | 0.494681i | ||||
\(315\) | 9.27641 | − | 20.4526i | 0.522667 | − | 1.15237i | ||||
\(316\) | 7.56074 | − | 22.5179i | 0.425325 | − | 1.26673i | ||||
\(317\) | −19.7318 | + | 6.41126i | −1.10825 | + | 0.360092i | −0.805272 | − | 0.592906i | \(-0.797981\pi\) |
−0.302977 | + | 0.952998i | \(0.597981\pi\) | |||||||
\(318\) | −18.3068 | − | 13.1961i | −1.02659 | − | 0.739998i | ||||
\(319\) | 15.5467 | − | 5.05141i | 0.870446 | − | 0.282825i | ||||
\(320\) | 17.6716 | − | 2.77742i | 0.987873 | − | 0.155262i | ||||
\(321\) | 4.83717 | + | 9.29407i | 0.269984 | + | 0.518745i | ||||
\(322\) | 30.7176 | + | 5.01928i | 1.71183 | + | 0.279714i | ||||
\(323\) | −4.55588 | + | 3.31004i | −0.253496 | + | 0.184176i | ||||
\(324\) | −16.9759 | + | 5.98480i | −0.943107 | + | 0.332489i | ||||
\(325\) | −6.75740 | − | 1.78212i | −0.374833 | − | 0.0988545i | ||||
\(326\) | 1.11330 | + | 7.25863i | 0.0616600 | + | 0.402018i | ||||
\(327\) | −0.454210 | + | 3.03739i | −0.0251179 | + | 0.167968i | ||||
\(328\) | 2.83662 | − | 0.406720i | 0.156626 | − | 0.0224573i | ||||
\(329\) | −14.0573 | − | 4.56748i | −0.775002 | − | 0.251814i | ||||
\(330\) | 16.6463 | + | 30.2447i | 0.916348 | + | 1.66492i | ||||
\(331\) | 16.7097 | − | 5.42930i | 0.918446 | − | 0.298421i | 0.188617 | − | 0.982051i | \(-0.439600\pi\) |
0.729829 | + | 0.683630i | \(0.239600\pi\) | |||||||
\(332\) | −10.4414 | + | 3.28009i | −0.573047 | + | 0.180018i | ||||
\(333\) | 16.2655 | − | 5.59751i | 0.891344 | − | 0.306742i | ||||
\(334\) | 5.18433 | + | 2.67356i | 0.283674 | + | 0.146290i | ||||
\(335\) | 12.6226 | + | 23.1390i | 0.689644 | + | 1.26422i | ||||
\(336\) | 20.7802 | − | 10.3038i | 1.13365 | − | 0.562119i | ||||
\(337\) | −13.7814 | − | 10.0128i | −0.750722 | − | 0.545431i | 0.145329 | − | 0.989383i | \(-0.453576\pi\) |
−0.896050 | + | 0.443952i | \(0.853576\pi\) | |||||||
\(338\) | 13.8845 | + | 7.16024i | 0.755218 | + | 0.389466i | ||||
\(339\) | −35.1014 | − | 5.24904i | −1.90645 | − | 0.285089i | ||||
\(340\) | 14.3250 | − | 7.63362i | 0.776883 | − | 0.413991i | ||||
\(341\) | 13.6957 | − | 18.8505i | 0.741664 | − | 1.02081i | ||||
\(342\) | −3.06086 | − | 5.82761i | −0.165512 | − | 0.315121i | ||||
\(343\) | − | 9.34716i | − | 0.504699i | ||||||
\(344\) | 5.39052 | − | 5.23465i | 0.290637 | − | 0.282233i | ||||
\(345\) | −6.97189 | + | 24.4879i | −0.375354 | + | 1.31838i | ||||
\(346\) | −8.88107 | − | 1.45117i | −0.477449 | − | 0.0780155i | ||||
\(347\) | −2.42398 | + | 7.46024i | −0.130126 | + | 0.400486i | −0.994800 | − | 0.101847i | \(-0.967525\pi\) |
0.864674 | + | 0.502333i | \(0.167525\pi\) | |||||||
\(348\) | 8.87505 | − | 1.39531i | 0.475752 | − | 0.0747965i | ||||
\(349\) | 3.78500 | 0.202606 | 0.101303 | − | 0.994856i | \(-0.467699\pi\) | ||||
0.101303 | + | 0.994856i | \(0.467699\pi\) | |||||||
\(350\) | −21.6170 | − | 9.64909i | −1.15548 | − | 0.515765i | ||||
\(351\) | 5.26681 | + | 5.00061i | 0.281122 | + | 0.266913i | ||||
\(352\) | −6.43692 | + | 35.0694i | −0.343089 | + | 1.86921i | ||||
\(353\) | −8.81210 | − | 2.86322i | −0.469021 | − | 0.152394i | 0.0649650 | − | 0.997888i | \(-0.479306\pi\) |
−0.533986 | + | 0.845493i | \(0.679306\pi\) | |||||||
\(354\) | −9.97745 | − | 13.6250i | −0.530296 | − | 0.724162i | ||||
\(355\) | −10.8398 | − | 1.40536i | −0.575318 | − | 0.0745890i | ||||
\(356\) | 15.7465 | − | 11.2069i | 0.834564 | − | 0.593964i | ||||
\(357\) | 14.7531 | − | 15.0102i | 0.780815 | − | 0.794425i | ||||
\(358\) | −0.776738 | − | 1.54304i | −0.0410519 | − | 0.0815522i | ||||
\(359\) | −10.1108 | − | 7.34595i | −0.533629 | − | 0.387704i | 0.288084 | − | 0.957605i | \(-0.406982\pi\) |
−0.821714 | + | 0.569901i | \(0.806982\pi\) | |||||||
\(360\) | 6.41543 | + | 17.8562i | 0.338123 | + | 0.941102i | ||||
\(361\) | −13.4238 | + | 9.75299i | −0.706518 | + | 0.513315i | ||||
\(362\) | −29.9244 | − | 15.4320i | −1.57279 | − | 0.811089i | ||||
\(363\) | −49.0768 | + | 8.20827i | −2.57586 | + | 0.430823i | ||||
\(364\) | −7.51700 | − | 5.57454i | −0.393998 | − | 0.292185i | ||||
\(365\) | −13.8782 | − | 13.1181i | −0.726419 | − | 0.686630i | ||||
\(366\) | 5.42059 | − | 1.78376i | 0.283339 | − | 0.0932387i | ||||
\(367\) | 3.83285 | − | 1.24537i | 0.200073 | − | 0.0650077i | −0.207266 | − | 0.978285i | \(-0.566457\pi\) |
0.407339 | + | 0.913277i | \(0.366457\pi\) | |||||||
\(368\) | −21.5722 | + | 15.0374i | −1.12453 | + | 0.783880i | ||||
\(369\) | 0.989056 | + | 2.87404i | 0.0514882 | + | 0.149617i | ||||
\(370\) | −6.00273 | − | 17.1097i | −0.312067 | − | 0.889493i | ||||
\(371\) | −9.53119 | + | 29.3340i | −0.494835 | + | 1.52294i | ||||
\(372\) | 9.06539 | − | 9.04477i | 0.470019 | − | 0.468949i | ||||
\(373\) | −1.58480 | + | 1.15142i | −0.0820577 | + | 0.0596184i | −0.628058 | − | 0.778167i | \(-0.716150\pi\) |
0.546000 | + | 0.837785i | \(0.316150\pi\) | |||||||
\(374\) | 4.90489 | + | 31.9795i | 0.253626 | + | 1.65362i | ||||
\(375\) | 9.87681 | − | 16.6568i | 0.510036 | − | 0.860153i | ||||
\(376\) | 11.2084 | − | 5.50539i | 0.578029 | − | 0.283919i | ||||
\(377\) | −2.13065 | − | 2.93258i | −0.109734 | − | 0.151036i | ||||
\(378\) | 14.8757 | + | 19.5945i | 0.765125 | + | 1.00783i | ||||
\(379\) | 17.6066 | + | 5.72073i | 0.904390 | + | 0.293854i | 0.724048 | − | 0.689750i | \(-0.242279\pi\) |
0.180342 | + | 0.983604i | \(0.442279\pi\) | |||||||
\(380\) | −6.12344 | + | 3.26310i | −0.314126 | + | 0.167394i | ||||
\(381\) | −11.1880 | + | 22.4349i | −0.573181 | + | 1.14937i | ||||
\(382\) | −5.29017 | + | 0.811385i | −0.270668 | + | 0.0415141i | ||||
\(383\) | −4.14810 | − | 12.7665i | −0.211958 | − | 0.652340i | −0.999356 | − | 0.0358942i | \(-0.988572\pi\) |
0.787398 | − | 0.616445i | \(-0.211428\pi\) | |||||||
\(384\) | −6.53029 | + | 18.4758i | −0.333247 | + | 0.942839i | ||||
\(385\) | 32.4120 | − | 34.2902i | 1.65187 | − | 1.74759i | ||||
\(386\) | −17.9645 | + | 17.7897i | −0.914370 | + | 0.905472i | ||||
\(387\) | 6.52763 | + | 4.57238i | 0.331818 | + | 0.232427i | ||||
\(388\) | 14.0797 | + | 4.72747i | 0.714787 | + | 0.240001i | ||||
\(389\) | 10.9893 | + | 15.1255i | 0.557181 | + | 0.766894i | 0.990965 | − | 0.134123i | \(-0.0428218\pi\) |
−0.433784 | + | 0.901017i | \(0.642822\pi\) | |||||||
\(390\) | 5.23781 | − | 5.58313i | 0.265227 | − | 0.282713i | ||||
\(391\) | −14.0251 | + | 19.3039i | −0.709281 | + | 0.976241i | ||||
\(392\) | −8.29165 | − | 8.53854i | −0.418791 | − | 0.431261i | ||||
\(393\) | −10.5481 | + | 10.7319i | −0.532079 | + | 0.541354i | ||||
\(394\) | −2.27273 | + | 1.14405i | −0.114498 | + | 0.0576364i | ||||
\(395\) | 3.41449 | − | 26.3366i | 0.171802 | − | 1.32514i | ||||
\(396\) | −37.8171 | + | 0.283686i | −1.90038 | + | 0.0142557i | ||||
\(397\) | −0.665902 | + | 2.04944i | −0.0334207 | + | 0.102858i | −0.966375 | − | 0.257136i | \(-0.917221\pi\) |
0.932955 | + | 0.359994i | \(0.117221\pi\) | |||||||
\(398\) | −5.15709 | − | 5.20777i | −0.258501 | − | 0.261042i | ||||
\(399\) | −6.30641 | + | 6.41634i | −0.315715 | + | 0.321219i | ||||
\(400\) | 18.7813 | − | 6.87490i | 0.939063 | − | 0.343745i | ||||
\(401\) | 34.5952i | 1.72760i | 0.503834 | + | 0.863801i | \(0.331922\pi\) | ||||
−0.503834 | + | 0.863801i | \(0.668078\pi\) | |||||||
\(402\) | −28.8735 | + | 0.108296i | −1.44008 | + | 0.00540132i | ||||
\(403\) | −4.91398 | − | 1.59665i | −0.244783 | − | 0.0795348i | ||||
\(404\) | −17.9765 | − | 0.175800i | −0.894365 | − | 0.00874635i | ||||
\(405\) | −17.3233 | + | 10.2422i | −0.860803 | + | 0.508938i | ||||
\(406\) | −5.52096 | − | 10.9677i | −0.274001 | − | 0.544320i | ||||
\(407\) | 36.1409 | 1.79144 | ||||||||
\(408\) | −0.107192 | + | 17.7810i | −0.00530679 | + | 0.880288i | ||||
\(409\) | −21.9558 | − | 15.9518i | −1.08565 | − | 0.788768i | −0.106987 | − | 0.994260i | \(-0.534120\pi\) |
−0.978659 | + | 0.205492i | \(0.934120\pi\) | |||||||
\(410\) | 3.02322 | − | 1.06066i | 0.149306 | − | 0.0523821i | ||||
\(411\) | −14.8507 | − | 2.22076i | −0.732531 | − | 0.109542i | ||||
\(412\) | −2.42491 | + | 7.22203i | −0.119467 | + | 0.355804i | ||||
\(413\) | −13.5667 | + | 18.6730i | −0.667575 | + | 0.918838i | ||||
\(414\) | −19.9649 | − | 19.4762i | −0.981221 | − | 0.957201i | ||||
\(415\) | −10.7420 | + | 5.85985i | −0.527303 | + | 0.287649i | ||||
\(416\) | 7.83708 | − | 1.04559i | 0.384245 | − | 0.0512640i | ||||
\(417\) | 3.18148 | − | 6.37968i | 0.155798 | − | 0.312414i | ||||
\(418\) | −2.09667 | − | 13.6701i | −0.102551 | − | 0.668627i | ||||
\(419\) | −5.70337 | − | 17.5532i | −0.278628 | − | 0.857528i | −0.988237 | − | 0.152932i | \(-0.951128\pi\) |
0.709609 | − | 0.704596i | \(-0.248872\pi\) | |||||||
\(420\) | 20.5603 | − | 15.8036i | 1.00324 | − | 0.771139i | ||||
\(421\) | −0.559054 | + | 1.72059i | −0.0272466 | + | 0.0838566i | −0.963755 | − | 0.266788i | \(-0.914038\pi\) |
0.936509 | + | 0.350645i | \(0.114038\pi\) | |||||||
\(422\) | 24.7134 | + | 4.03819i | 1.20303 | + | 0.196576i | ||||
\(423\) | 7.96921 | + | 10.5793i | 0.387476 | + | 0.514383i | ||||
\(424\) | −11.4884 | − | 23.3891i | −0.557925 | − | 1.13588i | ||||
\(425\) | 14.0585 | − | 11.4764i | 0.681936 | − | 0.556685i | ||||
\(426\) | 7.00165 | − | 9.71335i | 0.339231 | − | 0.470613i | ||||
\(427\) | −4.58437 | − | 6.30985i | −0.221853 | − | 0.305355i | ||||
\(428\) | −0.118309 | + | 12.0978i | −0.00571869 | + | 0.584769i | ||||
\(429\) | 7.04455 | + | 13.5353i | 0.340114 | + | 0.653491i | ||||
\(430\) | 4.77847 | − | 6.90943i | 0.230438 | − | 0.333202i | ||||
\(431\) | 4.84535 | + | 14.9124i | 0.233392 | + | 0.718307i | 0.997331 | + | 0.0730181i | \(0.0232631\pi\) |
−0.763938 | + | 0.645289i | \(0.776737\pi\) | |||||||
\(432\) | −20.5490 | − | 3.12075i | −0.988664 | − | 0.150147i | ||||
\(433\) | −1.94685 | − | 5.99180i | −0.0935598 | − | 0.287947i | 0.893316 | − | 0.449429i | \(-0.148373\pi\) |
−0.986876 | + | 0.161482i | \(0.948373\pi\) | |||||||
\(434\) | −15.5557 | − | 8.02205i | −0.746695 | − | 0.385071i | ||||
\(435\) | 9.43224 | − | 3.45319i | 0.452241 | − | 0.165568i | ||||
\(436\) | −2.11241 | + | 2.84848i | −0.101166 | + | 0.136417i | ||||
\(437\) | 5.99524 | − | 8.25175i | 0.286791 | − | 0.394735i | ||||
\(438\) | 19.8712 | − | 6.53906i | 0.949485 | − | 0.312448i | ||||
\(439\) | −7.59345 | − | 10.4515i | −0.362416 | − | 0.498823i | 0.588404 | − | 0.808567i | \(-0.299756\pi\) |
−0.950820 | + | 0.309744i | \(0.899756\pi\) | |||||||
\(440\) | 0.537423 | + | 39.8602i | 0.0256207 | + | 1.90026i | ||||
\(441\) | 7.24261 | − | 10.3397i | 0.344886 | − | 0.492368i | ||||
\(442\) | 6.40825 | − | 3.22579i | 0.304809 | − | 0.153435i | ||||
\(443\) | −6.36801 | −0.302553 | −0.151277 | − | 0.988491i | \(-0.548338\pi\) | ||||
−0.151277 | + | 0.988491i | \(0.548338\pi\) | |||||||
\(444\) | 19.6147 | + | 3.12957i | 0.930873 | + | 0.148523i | ||||
\(445\) | 14.8435 | − | 15.7037i | 0.703650 | − | 0.744424i | ||||
\(446\) | −20.0315 | − | 3.27316i | −0.948520 | − | 0.154989i | ||||
\(447\) | −1.90452 | + | 0.991219i | −0.0900805 | + | 0.0468831i | ||||
\(448\) | 26.7712 | + | 0.785617i | 1.26482 | + | 0.0371169i | ||||
\(449\) | − | 23.4324i | − | 1.10584i | −0.833234 | − | 0.552921i | \(-0.813513\pi\) | ||
0.833234 | − | 0.552921i | \(-0.186487\pi\) | |||||||
\(450\) | 10.9052 | + | 18.1955i | 0.514077 | + | 0.857744i | ||||
\(451\) | 6.38594i | 0.300702i | ||||||||
\(452\) | −32.9182 | − | 24.4119i | −1.54834 | − | 1.14824i | ||||
\(453\) | 19.3009 | − | 10.0453i | 0.906834 | − | 0.471968i | ||||
\(454\) | 4.70613 | − | 28.8012i | 0.220869 | − | 1.35171i | ||||
\(455\) | −9.45268 | − | 4.48585i | −0.443149 | − | 0.210300i | ||||
\(456\) | 0.0458207 | − | 7.60073i | 0.00214575 | − | 0.355937i | ||||
\(457\) | −8.32279 | −0.389324 | −0.194662 | − | 0.980870i | \(-0.562361\pi\) | ||||
−0.194662 | + | 0.980870i | \(0.562361\pi\) | |||||||
\(458\) | −0.809935 | − | 1.60899i | −0.0378458 | − | 0.0751830i | ||||
\(459\) | −18.5450 | + | 3.43214i | −0.865605 | + | 0.160198i | ||||
\(460\) | −20.4034 | + | 21.1672i | −0.951316 | + | 0.986928i | ||||
\(461\) | 11.5566 | + | 15.9064i | 0.538247 | + | 0.740833i | 0.988359 | − | 0.152139i | \(-0.0486161\pi\) |
−0.450113 | + | 0.892972i | \(0.648616\pi\) | |||||||
\(462\) | 16.1567 | + | 49.0978i | 0.751677 | + | 2.28424i | ||||
\(463\) | 5.74976 | − | 7.91387i | 0.267214 | − | 0.367789i | −0.654233 | − | 0.756293i | \(-0.727008\pi\) |
0.921447 | + | 0.388505i | \(0.127008\pi\) | |||||||
\(464\) | 9.80158 | + | 3.39805i | 0.455027 | + | 0.157750i | ||||
\(465\) | 7.98378 | − | 11.8847i | 0.370239 | − | 0.551139i | ||||
\(466\) | 9.99416 | − | 19.3798i | 0.462970 | − | 0.897752i | ||||
\(467\) | 9.68285 | + | 29.8008i | 0.448069 | + | 1.37901i | 0.879083 | + | 0.476669i | \(0.158156\pi\) |
−0.431014 | + | 0.902345i | \(0.641844\pi\) | |||||||
\(468\) | 2.65121 | + | 7.95602i | 0.122552 | + | 0.367767i | ||||
\(469\) | 12.1948 | + | 37.5316i | 0.563102 | + | 1.73305i | ||||
\(470\) | 11.1011 | − | 8.46683i | 0.512057 | − | 0.390546i | ||||
\(471\) | 7.04398 | + | 13.5342i | 0.324569 | + | 0.623623i | ||||
\(472\) | −2.76765 | − | 19.3027i | −0.127392 | − | 0.888479i | ||||
\(473\) | 9.84215 | + | 13.5466i | 0.452542 | + | 0.622871i | ||||
\(474\) | 23.5997 | + | 17.0113i | 1.08397 | + | 0.781355i | ||||
\(475\) | −6.00950 | + | 4.90574i | −0.275735 | + | 0.225091i | ||||
\(476\) | 23.1854 | − | 7.28351i | 1.06270 | − | 0.333839i | ||||
\(477\) | 22.0763 | − | 16.6297i | 1.01081 | − | 0.761423i | ||||
\(478\) | −0.919123 | + | 5.62497i | −0.0420397 | + | 0.257280i | ||||
\(479\) | −6.93603 | + | 21.3469i | −0.316915 | + | 0.975365i | 0.658044 | + | 0.752980i | \(0.271384\pi\) |
−0.974959 | + | 0.222385i | \(0.928616\pi\) | |||||||
\(480\) | −3.15996 | + | 21.6798i | −0.144232 | + | 0.989544i | ||||
\(481\) | −2.47653 | − | 7.62196i | −0.112920 | − | 0.347532i | ||||
\(482\) | 7.96392 | − | 1.22148i | 0.362747 | − | 0.0556367i | ||||
\(483\) | −17.0121 | + | 34.1136i | −0.774077 | + | 1.55222i | ||||
\(484\) | −54.4678 | − | 18.2884i | −2.47581 | − | 0.831292i | ||||
\(485\) | 16.4674 | + | 2.13497i | 0.747745 | + | 0.0969439i | ||||
\(486\) | −0.844389 | − | 22.0292i | −0.0383023 | − | 0.999266i | ||||
\(487\) | 3.01679 | − | 4.15226i | 0.136704 | − | 0.188157i | −0.735176 | − | 0.677876i | \(-0.762901\pi\) |
0.871880 | + | 0.489719i | \(0.162901\pi\) | |||||||
\(488\) | 6.49240 | + | 1.12615i | 0.293897 | + | 0.0509786i | ||||
\(489\) | −8.89502 | − | 1.33016i | −0.402247 | − | 0.0601517i | ||||
\(490\) | −10.9445 | − | 7.56907i | −0.494421 | − | 0.341936i | ||||
\(491\) | −6.49724 | − | 4.72052i | −0.293216 | − | 0.213034i | 0.431445 | − | 0.902139i | \(-0.358004\pi\) |
−0.724661 | + | 0.689105i | \(0.758004\pi\) | |||||||
\(492\) | −0.552981 | + | 3.46583i | −0.0249303 | + | 0.156252i | ||||
\(493\) | 9.41324 | 0.423951 | ||||||||
\(494\) | −2.73930 | + | 1.37891i | −0.123247 | + | 0.0620402i | ||||
\(495\) | −41.4179 | + | 8.50414i | −1.86160 | + | 0.382233i | ||||
\(496\) | 14.1498 | − | 4.29350i | 0.635347 | − | 0.192784i | ||||
\(497\) | −15.5642 | − | 5.05712i | −0.698150 | − | 0.226843i | ||||
\(498\) | −0.0502750 | − | 13.4041i | −0.00225288 | − | 0.600654i | ||||
\(499\) | − | 10.7903i | − | 0.483038i | −0.970396 | − | 0.241519i | \(-0.922354\pi\) | ||
0.970396 | − | 0.241519i | \(-0.0776457\pi\) | |||||||
\(500\) | 19.1107 | − | 11.6096i | 0.854654 | − | 0.519197i | ||||
\(501\) | −5.00778 | + | 5.09508i | −0.223731 | + | 0.227631i | ||||
\(502\) | −16.0257 | + | 15.8697i | −0.715261 | + | 0.708301i | ||||
\(503\) | 1.58509 | − | 4.87839i | 0.0706755 | − | 0.217517i | −0.909480 | − | 0.415748i | \(-0.863520\pi\) |
0.980155 | + | 0.198231i | \(0.0635197\pi\) | |||||||
\(504\) | 4.51715 | + | 28.0459i | 0.201210 | + | 1.24926i | ||||
\(505\) | −19.7555 | + | 3.70175i | −0.879108 | + | 0.164726i | ||||
\(506\) | −26.3480 | − | 52.3420i | −1.17131 | − | 2.32689i | ||||
\(507\) | −13.4117 | + | 13.6455i | −0.595635 | + | 0.606018i | ||||
\(508\) | −23.5848 | + | 16.7855i | −1.04641 | + | 0.744734i | ||||
\(509\) | 9.98245 | − | 13.7397i | 0.442464 | − | 0.609000i | −0.528293 | − | 0.849062i | \(-0.677168\pi\) |
0.970757 | + | 0.240062i | \(0.0771679\pi\) | |||||||
\(510\) | 3.73463 | + | 19.5261i | 0.165372 | + | 0.864632i | ||||
\(511\) | −16.8058 | − | 23.1312i | −0.743444 | − | 1.02326i | ||||
\(512\) | −16.6884 | + | 15.2806i | −0.737529 | + | 0.675315i | ||||
\(513\) | 7.92732 | − | 1.46712i | 0.350000 | − | 0.0647748i | ||||
\(514\) | −23.2327 | − | 23.4610i | −1.02475 | − | 1.03482i | ||||
\(515\) | −1.09511 | + | 8.44678i | −0.0482563 | + | 0.372210i | ||||
\(516\) | 4.16858 | + | 8.20438i | 0.183511 | + | 0.361178i | ||||
\(517\) | 8.59927 | + | 26.4658i | 0.378196 | + | 1.16397i | ||||
\(518\) | −4.11564 | − | 26.8337i | −0.180831 | − | 1.17900i | ||||
\(519\) | 4.91853 | − | 9.86291i | 0.215899 | − | 0.432934i | ||||
\(520\) | 8.36952 | − | 2.84473i | 0.367028 | − | 0.124750i | ||||
\(521\) | 35.1836 | + | 11.4319i | 1.54142 | + | 0.500839i | 0.951769 | − | 0.306816i | \(-0.0992638\pi\) |
0.589655 | + | 0.807655i | \(0.299264\pi\) | |||||||
\(522\) | −1.58649 | + | 10.8882i | −0.0694386 | + | 0.476564i | ||||
\(523\) | 3.49557 | + | 4.81123i | 0.152850 | + | 0.210381i | 0.878575 | − | 0.477605i | \(-0.158495\pi\) |
−0.725724 | + | 0.687986i | \(0.758495\pi\) | |||||||
\(524\) | −16.5770 | + | 5.20753i | −0.724168 | + | 0.227492i | ||||
\(525\) | 19.1276 | − | 21.7884i | 0.834795 | − | 0.950926i | ||||
\(526\) | −32.9776 | + | 5.05798i | −1.43789 | + | 0.220538i | ||||
\(527\) | 10.8551 | − | 7.88666i | 0.472854 | − | 0.343548i | ||||
\(528\) | −38.6902 | − | 20.2487i | −1.68378 | − | 0.881214i | ||||
\(529\) | 6.24760 | − | 19.2281i | 0.271635 | − | 0.836006i | ||||
\(530\) | −17.6681 | − | 23.1653i | −0.767455 | − | 1.00623i | ||||
\(531\) | 19.5573 | − | 6.73034i | 0.848715 | − | 0.292072i | ||||
\(532\) | −9.91094 | + | 3.11344i | −0.429694 | + | 0.134985i | ||||
\(533\) | 1.34677 | − | 0.437591i | 0.0583350 | − | 0.0189542i | ||||
\(534\) | 7.39916 | + | 22.4850i | 0.320193 | + | 0.973020i | ||||
\(535\) | 2.49119 | + | 13.2950i | 0.107704 | + | 0.574793i | ||||
\(536\) | −29.4814 | − | 15.5704i | −1.27340 | − | 0.672538i | ||||
\(537\) | 2.08677 | − | 0.349021i | 0.0900509 | − | 0.0150614i | ||||
\(538\) | −8.22242 | + | 15.9442i | −0.354494 | + | 0.687403i | ||||
\(539\) | 21.4576 | − | 15.5899i | 0.924246 | − | 0.671504i | ||||
\(540\) | −23.2151 | + | 1.02892i | −0.999019 | + | 0.0442777i | ||||
\(541\) | −17.2017 | − | 12.4977i | −0.739557 | − | 0.537320i | 0.153015 | − | 0.988224i | \(-0.451102\pi\) |
−0.892572 | + | 0.450904i | \(0.851102\pi\) | |||||||
\(542\) | 34.4515 | − | 17.3422i | 1.47982 | − | 0.744913i | ||||
\(543\) | 28.9054 | − | 29.4093i | 1.24045 | − | 1.26207i | ||||
\(544\) | −9.76578 | + | 18.0609i | −0.418704 | + | 0.774353i | ||||
\(545\) | −1.69986 | + | 3.58198i | −0.0728140 | + | 0.153435i | ||||
\(546\) | 9.24740 | − | 6.77177i | 0.395752 | − | 0.289805i | ||||
\(547\) | 19.2618 | + | 6.25852i | 0.823573 | + | 0.267595i | 0.690336 | − | 0.723489i | \(-0.257463\pi\) |
0.133237 | + | 0.991084i | \(0.457463\pi\) | |||||||
\(548\) | −13.9270 | − | 10.3282i | −0.594934 | − | 0.441198i | ||||
\(549\) | 0.120768 | + | 6.98801i | 0.00515426 | + | 0.298241i | ||||
\(550\) | 9.22508 | + | 43.6039i | 0.393359 | + | 1.85928i | ||||
\(551\) | −4.02383 | −0.171421 | ||||||||
\(552\) | −9.76736 | − | 30.6891i | −0.415726 | − | 1.30622i | ||||
\(553\) | 12.2869 | − | 37.8150i | 0.522490 | − | 1.60806i | ||||
\(554\) | −6.92033 | + | 42.3519i | −0.294017 | + | 1.79936i | ||||
\(555\) | 22.1923 | − | 0.816839i | 0.942009 | − | 0.0346729i | ||||
\(556\) | 6.70668 | − | 4.77319i | 0.284427 | − | 0.202428i | ||||
\(557\) | − | 16.8673i | − | 0.714688i | −0.933973 | − | 0.357344i | \(-0.883682\pi\) | ||
0.933973 | − | 0.357344i | \(-0.116318\pi\) | |||||||
\(558\) | 7.29293 | + | 13.8851i | 0.308734 | + | 0.587805i | ||||
\(559\) | 2.18249 | − | 3.00394i | 0.0923094 | − | 0.127053i | ||||
\(560\) | 29.5339 | − | 4.93821i | 1.24804 | − | 0.208677i | ||||
\(561\) | −39.1890 | − | 5.86030i | −1.65456 | − | 0.247422i | ||||
\(562\) | 0.348421 | − | 0.675628i | 0.0146973 | − | 0.0284997i | ||||
\(563\) | 8.42376 | + | 6.12022i | 0.355019 | + | 0.257937i | 0.750972 | − | 0.660334i | \(-0.229585\pi\) |
−0.395952 | + | 0.918271i | \(0.629585\pi\) | |||||||
\(564\) | 2.37531 | + | 15.1084i | 0.100018 | + | 0.636180i | ||||
\(565\) | −41.3949 | − | 19.6443i | −1.74150 | − | 0.826443i | ||||
\(566\) | −13.6998 | + | 26.5655i | −0.575847 | + | 1.11663i | ||||
\(567\) | −28.3170 | + | 10.2955i | −1.18920 | + | 0.432369i | ||||
\(568\) | 12.4099 | − | 6.09557i | 0.520710 | − | 0.255765i | ||||
\(569\) | 17.7676 | − | 5.77305i | 0.744857 | − | 0.242019i | 0.0880902 | − | 0.996113i | \(-0.471924\pi\) |
0.656767 | + | 0.754094i | \(0.271924\pi\) | |||||||
\(570\) | −1.59642 | − | 8.34673i | −0.0668668 | − | 0.349606i | ||||
\(571\) | 18.2308 | + | 5.92356i | 0.762937 | + | 0.247893i | 0.664539 | − | 0.747254i | \(-0.268628\pi\) |
0.0983984 | + | 0.995147i | \(0.468628\pi\) | |||||||
\(572\) | −0.172298 | + | 17.6185i | −0.00720414 | + | 0.736666i | ||||
\(573\) | 0.969432 | − | 6.48279i | 0.0404986 | − | 0.270822i | ||||
\(574\) | 4.74139 | − | 0.727216i | 0.197902 | − | 0.0303534i | ||||
\(575\) | −17.7935 | + | 27.6375i | −0.742042 | + | 1.15256i | ||||
\(576\) | −19.2449 | − | 14.3399i | −0.801872 | − | 0.597496i | ||||
\(577\) | 22.4704 | − | 16.3257i | 0.935453 | − | 0.679646i | −0.0118688 | − | 0.999930i | \(-0.503778\pi\) |
0.947322 | + | 0.320283i | \(0.103778\pi\) | |||||||
\(578\) | 0.872573 | − | 5.34009i | 0.0362943 | − | 0.222118i | ||||
\(579\) | −14.2954 | − | 27.4670i | −0.594097 | − | 1.14149i | ||||
\(580\) | 11.4870 | + | 1.60364i | 0.476971 | + | 0.0665873i | ||||
\(581\) | −17.4235 | + | 5.66125i | −0.722851 | + | 0.234868i | ||||
\(582\) | −10.6366 | + | 14.7561i | −0.440901 | + | 0.611659i | ||||
\(583\) | 55.2275 | − | 17.9445i | 2.28729 | − | 0.743186i | ||||
\(584\) | 23.8004 | + | 4.12835i | 0.984867 | + | 0.170832i | ||||
\(585\) | 4.63162 | + | 8.15213i | 0.191494 | + | 0.337049i | ||||
\(586\) | 32.0793 | + | 32.3946i | 1.32518 | + | 1.33821i | ||||
\(587\) | −0.972383 | − | 0.706478i | −0.0401345 | − | 0.0291595i | 0.567537 | − | 0.823348i | \(-0.307896\pi\) |
−0.607672 | + | 0.794188i | \(0.707896\pi\) | |||||||
\(588\) | 12.9957 | − | 6.60300i | 0.535933 | − | 0.272303i | ||||
\(589\) | −4.64015 | + | 3.37127i | −0.191194 | + | 0.138911i | ||||
\(590\) | −7.21757 | − | 20.5724i | −0.297143 | − | 0.846953i | ||||
\(591\) | −0.514069 | − | 3.07359i | −0.0211460 | − | 0.126430i | ||||
\(592\) | 18.2881 | + | 13.8415i | 0.751636 | + | 0.568883i | ||||
\(593\) | 42.0564i | 1.72705i | 0.504307 | + | 0.863524i | \(0.331748\pi\) | ||||
−0.504307 | + | 0.863524i | \(0.668252\pi\) | |||||||
\(594\) | 13.3834 | − | 44.3419i | 0.549127 | − | 1.81937i | ||||
\(595\) | 23.8528 | − | 13.0119i | 0.977869 | − | 0.533437i | ||||
\(596\) | −2.47905 | − | 0.0242436i | −0.101546 | − | 0.000993056i | ||||
\(597\) | 7.96246 | − | 4.14412i | 0.325882 | − | 0.169608i | ||||
\(598\) | −9.23324 | + | 9.14339i | −0.377575 | + | 0.373901i | ||||
\(599\) | −16.4260 | −0.671147 | −0.335574 | − | 0.942014i | \(-0.608930\pi\) | ||||
−0.335574 | + | 0.942014i | \(0.608930\pi\) | |||||||
\(600\) | 1.23090 | + | 24.4640i | 0.0502515 | + | 0.998737i | ||||
\(601\) | 25.8789 | 1.05562 | 0.527812 | − | 0.849361i | \(-0.323013\pi\) | ||||
0.527812 | + | 0.849361i | \(0.323013\pi\) | |||||||
\(602\) | 8.93716 | − | 8.85019i | 0.364252 | − | 0.360707i | ||||
\(603\) | 10.3450 | − | 33.8160i | 0.421280 | − | 1.37709i | ||||
\(604\) | 25.1233 | + | 0.245691i | 1.02225 | + | 0.00999702i | ||||
\(605\) | −63.7047 | − | 8.25921i | −2.58997 | − | 0.335785i | ||||
\(606\) | 6.72526 | − | 20.9655i | 0.273195 | − | 0.851663i | ||||
\(607\) | − | 40.9111i | − | 1.66053i | −0.557369 | − | 0.830265i | \(-0.688189\pi\) | ||
0.557369 | − | 0.830265i | \(-0.311811\pi\) | |||||||
\(608\) | 4.17452 | − | 7.72038i | 0.169299 | − | 0.313103i | ||||
\(609\) | 14.8325 | − | 2.48080i | 0.601045 | − | 0.100527i | ||||
\(610\) | 7.36512 | − | 0.171351i | 0.298205 | − | 0.00693779i | ||||
\(611\) | 4.99228 | − | 3.62710i | 0.201966 | − | 0.146737i | ||||
\(612\) | −20.7616 | − | 6.57407i | −0.839236 | − | 0.265741i | ||||
\(613\) | −34.4079 | − | 24.9988i | −1.38972 | − | 1.00969i | −0.995896 | − | 0.0905090i | \(-0.971151\pi\) |
−0.393828 | − | 0.919184i | \(-0.628849\pi\) | |||||||
\(614\) | −7.19334 | − | 7.26403i | −0.290300 | − | 0.293153i | ||||
\(615\) | 0.144332 | + | 3.92128i | 0.00582002 | + | 0.158121i | ||||
\(616\) | −10.2003 | + | 58.8059i | −0.410982 | + | 2.36936i | ||||
\(617\) | 15.7439 | − | 5.11551i | 0.633826 | − | 0.205942i | 0.0255567 | − | 0.999673i | \(-0.491864\pi\) |
0.608269 | + | 0.793731i | \(0.291864\pi\) | |||||||
\(618\) | −7.56899 | − | 5.45594i | −0.304469 | − | 0.219470i | ||||
\(619\) | −29.0408 | + | 9.43594i | −1.16725 | + | 0.379262i | −0.827616 | − | 0.561295i | \(-0.810303\pi\) |
−0.339634 | + | 0.940558i | \(0.610303\pi\) | |||||||
\(620\) | 14.5900 | − | 7.77482i | 0.585948 | − | 0.312244i | ||||
\(621\) | 30.0242 | − | 16.2918i | 1.20483 | − | 0.653766i | ||||
\(622\) | −4.79010 | + | 29.3151i | −0.192066 | + | 1.17543i | ||||
\(623\) | 26.1737 | − | 19.0163i | 1.04863 | − | 0.761871i | ||||
\(624\) | −1.61916 | + | 9.54714i | −0.0648182 | + | 0.382192i | ||||
\(625\) | 18.4462 | − | 16.8742i | 0.737847 | − | 0.674967i | ||||
\(626\) | 5.87360 | − | 0.900870i | 0.234756 | − | 0.0360060i | ||||
\(627\) | 16.7519 | + | 2.50507i | 0.669007 | + | 0.100043i | ||||
\(628\) | −0.172284 | + | 17.6170i | −0.00687488 | + | 0.702997i | ||||
\(629\) | 19.7931 | + | 6.43117i | 0.789202 | + | 0.256427i | ||||
\(630\) | 11.0307 | + | 29.7833i | 0.439473 | + | 1.18659i | ||||
\(631\) | −32.5793 | + | 10.5857i | −1.29696 | + | 0.421408i | −0.874523 | − | 0.484983i | \(-0.838826\pi\) |
−0.422438 | + | 0.906392i | \(0.638826\pi\) | |||||||
\(632\) | 14.8099 | + | 30.1514i | 0.589106 | + | 1.19936i | ||||
\(633\) | −13.6868 | + | 27.4456i | −0.544003 | + | 1.09087i | ||||
\(634\) | 13.4482 | − | 26.0776i | 0.534097 | − | 1.03568i | ||||
\(635\) | −22.2323 | + | 23.5206i | −0.882262 | + | 0.933386i | ||||
\(636\) | 31.5275 | − | 4.95666i | 1.25015 | − | 0.196544i | ||||
\(637\) | −4.75821 | − | 3.45704i | −0.188527 | − | 0.136973i | ||||
\(638\) | −10.5958 | + | 20.5465i | −0.419493 | + | 0.813444i | ||||
\(639\) | 8.82351 | + | 11.7134i | 0.349053 | + | 0.463375i | ||||
\(640\) | −14.9940 | + | 20.3760i | −0.592690 | + | 0.805431i | ||||
\(641\) | 6.08577 | − | 8.37634i | 0.240373 | − | 0.330846i | −0.671737 | − | 0.740789i | \(-0.734452\pi\) |
0.912111 | + | 0.409944i | \(0.134452\pi\) | |||||||
\(642\) | −14.1093 | − | 4.52595i | −0.556849 | − | 0.178625i | ||||
\(643\) | − | 13.0927i | − | 0.516326i | −0.966101 | − | 0.258163i | \(-0.916883\pi\) | ||
0.966101 | − | 0.258163i | \(-0.0831171\pi\) | |||||||
\(644\) | −35.8621 | + | 25.5233i | −1.41317 | + | 1.00576i | ||||
\(645\) | 6.34973 | + | 8.09580i | 0.250020 | + | 0.318772i | ||||
\(646\) | 1.28429 | − | 7.85974i | 0.0505296 | − | 0.309237i | ||||
\(647\) | 13.8642 | − | 42.6697i | 0.545059 | − | 1.67752i | −0.175790 | − | 0.984428i | \(-0.556248\pi\) |
0.720849 | − | 0.693092i | \(-0.243752\pi\) | |||||||
\(648\) | 11.1033 | − | 22.9067i | 0.436178 | − | 0.899861i | ||||
\(649\) | 43.4551 | 1.70576 | ||||||||
\(650\) | 8.56374 | − | 4.93346i | 0.335898 | − | 0.193506i | ||||
\(651\) | 15.0259 | − | 15.2879i | 0.588913 | − | 0.599179i | ||||
\(652\) | −8.34178 | − | 6.18619i | −0.326689 | − | 0.242270i | ||||
\(653\) | 19.1849 | + | 6.23355i | 0.750762 | + | 0.243937i | 0.659309 | − | 0.751872i | \(-0.270849\pi\) |
0.0914532 | + | 0.995809i | \(0.470849\pi\) | |||||||
\(654\) | −2.56608 | − | 3.50419i | −0.100342 | − | 0.137025i | ||||
\(655\) | −17.0541 | + | 9.30320i | −0.666360 | + | 0.363506i | ||||
\(656\) | −2.44573 | + | 3.23142i | −0.0954899 | + | 0.126166i | ||||
\(657\) | 0.442722 | + | 25.6172i | 0.0172722 | + | 0.999424i | ||||
\(658\) | 18.6709 | − | 9.39861i | 0.727869 | − | 0.366396i | ||||
\(659\) | 12.3618 | + | 8.98135i | 0.481546 | + | 0.349864i | 0.801924 | − | 0.597426i | \(-0.203810\pi\) |
−0.320378 | + | 0.947290i | \(0.603810\pi\) | |||||||
\(660\) | −46.8240 | − | 13.8275i | −1.82262 | − | 0.538236i | ||||
\(661\) | −9.05939 | + | 6.58203i | −0.352369 | + | 0.256011i | −0.749862 | − | 0.661594i | \(-0.769880\pi\) |
0.397493 | + | 0.917605i | \(0.369880\pi\) | |||||||
\(662\) | −11.3885 | + | 22.0835i | −0.442626 | + | 0.858301i | ||||
\(663\) | 1.44948 | + | 8.66638i | 0.0562933 | + | 0.336574i | ||||
\(664\) | 7.22834 | − | 13.6863i | 0.280514 | − | 0.531133i | ||||
\(665\) | −10.1962 | + | 5.56214i | −0.395393 | + | 0.215691i | ||||
\(666\) | −10.7748 | + | 21.8106i | −0.417513 | + | 0.845143i | ||||
\(667\) | −16.2151 | + | 5.26860i | −0.627850 | + | 0.204001i | ||||
\(668\) | −7.87007 | + | 2.47232i | −0.304502 | + | 0.0956569i | ||||
\(669\) | 11.0939 | − | 22.2461i | 0.428915 | − | 0.860084i | ||||
\(670\) | −35.7097 | − | 10.6912i | −1.37959 | − | 0.413037i | ||||
\(671\) | −4.53762 | + | 13.9654i | −0.175173 | + | 0.539127i | ||||
\(672\) | −10.6282 | + | 31.0324i | −0.409992 | + | 1.19710i | ||||
\(673\) | −33.9636 | + | 24.6760i | −1.30920 | + | 0.951190i | −0.309201 | + | 0.950997i | \(0.600062\pi\) |
−1.00000 | 0.000193836i | \(0.999938\pi\) | ||||||||
\(674\) | 23.8123 | − | 3.65224i | 0.917217 | − | 0.140679i | ||||
\(675\) | −25.2404 | + | 6.15806i | −0.971504 | + | 0.237024i | ||||
\(676\) | −21.0774 | + | 6.62129i | −0.810669 | + | 0.254665i | ||||
\(677\) | −3.51308 | − | 4.83533i | −0.135018 | − | 0.185837i | 0.736154 | − | 0.676814i | \(-0.236640\pi\) |
−0.871172 | + | 0.490977i | \(0.836640\pi\) | |||||||
\(678\) | 40.4960 | − | 29.6547i | 1.55524 | − | 1.13888i | ||||
\(679\) | 23.6445 | + | 7.68255i | 0.907391 | + | 0.294829i | ||||
\(680\) | −6.79868 | + | 21.9257i | −0.260717 | + | 0.840811i | ||||
\(681\) | 31.9853 | + | 15.9507i | 1.22568 | + | 0.611233i | ||||
\(682\) | 4.99562 | + | 32.5710i | 0.191292 | + | 1.24721i | ||||
\(683\) | −11.1033 | − | 34.1724i | −0.424856 | − | 1.30757i | −0.903132 | − | 0.429362i | \(-0.858738\pi\) |
0.478276 | − | 0.878209i | \(-0.341262\pi\) | |||||||
\(684\) | 8.87483 | + | 2.81018i | 0.339338 | + | 0.107450i | ||||
\(685\) | −17.5134 | − | 8.31112i | −0.669151 | − | 0.317551i | ||||
\(686\) | 9.30134 | + | 9.39275i | 0.355127 | + | 0.358617i | ||||
\(687\) | 2.17596 | − | 0.363938i | 0.0830181 | − | 0.0138851i | ||||
\(688\) | −0.207818 | + | 10.6243i | −0.00792298 | + | 0.405047i | ||||
\(689\) | −7.56885 | − | 10.4176i | −0.288350 | − | 0.396880i | ||||
\(690\) | −17.3620 | − | 31.5451i | −0.660960 | − | 1.20090i | ||||
\(691\) | −8.98251 | + | 12.3634i | −0.341711 | + | 0.470325i | −0.944940 | − | 0.327243i | \(-0.893880\pi\) |
0.603229 | + | 0.797568i | \(0.293880\pi\) | |||||||
\(692\) | 10.3684 | − | 7.37929i | 0.394149 | − | 0.280518i | ||||
\(693\) | −63.2950 | + | 1.09388i | −2.40438 | + | 0.0415529i | ||||
\(694\) | −4.98787 | − | 9.90872i | −0.189337 | − | 0.376130i | ||||
\(695\) | 6.32207 | − | 6.68842i | 0.239810 | − | 0.253706i | ||||
\(696\) | −7.52986 | + | 10.2337i | −0.285419 | + | 0.387906i | ||||
\(697\) | −1.13636 | + | 3.49735i | −0.0430427 | + | 0.132472i | ||||
\(698\) | −3.80346 | + | 3.76644i | −0.143963 | + | 0.142562i | ||||
\(699\) | 19.0462 | + | 18.7199i | 0.720392 | + | 0.708050i | ||||
\(700\) | 31.3242 | − | 11.8149i | 1.18394 | − | 0.446561i | ||||
\(701\) | 20.5628i | 0.776646i | 0.921523 | + | 0.388323i | \(0.126946\pi\) | ||||
−0.921523 | + | 0.388323i | \(0.873054\pi\) | |||||||
\(702\) | −10.2686 | + | 0.215992i | −0.387563 | + | 0.00815211i | ||||
\(703\) | −8.46085 | − | 2.74910i | −0.319107 | − | 0.103684i | ||||
\(704\) | −28.4292 | − | 41.6458i | −1.07147 | − | 1.56959i | ||||
\(705\) | 5.87854 | + | 16.0570i | 0.221399 | + | 0.604740i | ||||
\(706\) | 11.7043 | − | 5.89172i | 0.440496 | − | 0.221738i | ||||
\(707\) | −30.0927 | −1.13175 | ||||||||
\(708\) | 23.5844 | + | 3.76293i | 0.886354 | + | 0.141420i | ||||
\(709\) | 34.5999 | + | 25.1383i | 1.29943 | + | 0.944089i | 0.999950 | − | 0.0100151i | \(-0.00318797\pi\) |
0.299477 | + | 0.954104i | \(0.403188\pi\) | |||||||
\(710\) | 12.2912 | − | 9.37447i | 0.461279 | − | 0.351818i | ||||
\(711\) | −28.4591 | + | 21.4377i | −1.06730 | + | 0.803978i | ||||
\(712\) | −4.67136 | + | 26.9309i | −0.175066 | + | 1.00928i | ||||
\(713\) | −14.2845 | + | 19.6610i | −0.534960 | + | 0.736310i | ||||
\(714\) | 0.111637 | + | 29.7642i | 0.00417790 | + | 1.11390i | ||||
\(715\) | 3.62802 | + | 19.3620i | 0.135680 | + | 0.724099i | ||||
\(716\) | 2.31600 | + | 0.777635i | 0.0865531 | + | 0.0290616i | ||||
\(717\) | −6.24683 | − | 3.11523i | −0.233292 | − | 0.116340i | ||||
\(718\) | 17.4701 | − | 2.67949i | 0.651978 | − | 0.0999978i | ||||
\(719\) | 12.5987 | + | 38.7748i | 0.469852 | + | 1.44605i | 0.852777 | + | 0.522275i | \(0.174917\pi\) |
−0.382926 | + | 0.923779i | \(0.625083\pi\) | |||||||
\(720\) | −24.2154 | − | 11.5593i | −0.902453 | − | 0.430788i | ||||
\(721\) | −3.94069 | + | 12.1282i | −0.146759 | + | 0.451678i | ||||
\(722\) | 3.78413 | − | 23.1586i | 0.140831 | − | 0.861874i | ||||
\(723\) | −1.45940 | + | 9.75932i | −0.0542757 | + | 0.362953i | ||||
\(724\) | 45.4268 | − | 14.2705i | 1.68827 | − | 0.530358i | ||||
\(725\) | 12.9468 | − | 0.729691i | 0.480833 | − | 0.0271000i | ||||
\(726\) | 41.1481 | − | 57.0845i | 1.52715 | − | 2.11861i | ||||
\(727\) | 18.4729 | + | 25.4258i | 0.685122 | + | 0.942990i | 0.999981 | − | 0.00614857i | \(-0.00195716\pi\) |
−0.314859 | + | 0.949139i | \(0.601957\pi\) | |||||||
\(728\) | 13.1009 | − | 1.87843i | 0.485551 | − | 0.0696191i | ||||
\(729\) | 26.0764 | + | 7.00163i | 0.965792 | + | 0.259320i | ||||
\(730\) | 26.9997 | − | 0.628152i | 0.999302 | − | 0.0232489i | ||||
\(731\) | 2.97963 | + | 9.17035i | 0.110206 | + | 0.339178i | ||||
\(732\) | −3.67201 | + | 7.18648i | −0.135721 | + | 0.265620i | ||||
\(733\) | −1.03847 | − | 3.19608i | −0.0383568 | − | 0.118050i | 0.930045 | − | 0.367446i | \(-0.119768\pi\) |
−0.968402 | + | 0.249396i | \(0.919768\pi\) | |||||||
\(734\) | −2.61228 | + | 5.06551i | −0.0964211 | + | 0.186971i | ||||
\(735\) | 12.8237 | − | 10.0579i | 0.473009 | − | 0.370992i | ||||
\(736\) | 6.71367 | − | 36.5772i | 0.247469 | − | 1.34825i | ||||
\(737\) | 43.6711 | − | 60.1082i | 1.60865 | − | 2.21411i | ||||
\(738\) | −3.85383 | − | 1.90385i | −0.141862 | − | 0.0700817i | ||||
\(739\) | 21.9837 | + | 30.2580i | 0.808685 | + | 1.11306i | 0.991525 | + | 0.129917i | \(0.0414711\pi\) |
−0.182840 | + | 0.983143i | \(0.558529\pi\) | |||||||
\(740\) | 23.0579 | + | 11.2199i | 0.847625 | + | 0.412451i | ||||
\(741\) | −0.619603 | − | 3.70457i | −0.0227617 | − | 0.136091i | ||||
\(742\) | −19.6125 | − | 38.9615i | −0.719998 | − | 1.43032i | ||||
\(743\) | −15.9159 | −0.583899 | −0.291949 | − | 0.956434i | \(-0.594304\pi\) | ||||
−0.291949 | + | 0.956434i | \(0.594304\pi\) | |||||||
\(744\) | −0.109175 | + | 18.1098i | −0.00400253 | + | 0.663939i | ||||
\(745\) | −2.72438 | + | 0.510488i | −0.0998134 | + | 0.0187028i | ||||
\(746\) | 0.446748 | − | 2.73407i | 0.0163566 | − | 0.100101i | ||||
\(747\) | 15.6986 | + | 4.80251i | 0.574382 | + | 0.175715i | ||||
\(748\) | −36.7516 | − | 27.2547i | −1.34377 | − | 0.996529i | ||||
\(749\) | 20.2517i | 0.739980i | ||||||||
\(750\) | 6.65017 | + | 26.5664i | 0.242830 | + | 0.970069i | ||||
\(751\) | 36.0651i | 1.31603i | 0.753003 | + | 0.658017i | \(0.228605\pi\) | ||||
−0.753003 | + | 0.658017i | \(0.771395\pi\) | |||||||
\(752\) | −5.78467 | + | 16.6857i | −0.210945 | + | 0.608466i | ||||
\(753\) | −12.7526 | − | 24.5026i | −0.464729 | − | 0.892925i | ||||
\(754\) | 5.05925 | + | 0.826684i | 0.184247 | + | 0.0301060i | ||||
\(755\) | 27.6096 | − | 5.17342i | 1.00481 | − | 0.188280i | ||||
\(756\) | −34.4468 | − | 4.88726i | −1.25282 | − | 0.177748i | ||||
\(757\) | 41.5086 | 1.50866 | 0.754328 | − | 0.656497i | \(-0.227963\pi\) | ||||
0.754328 | + | 0.656497i | \(0.227963\pi\) | |||||||
\(758\) | −23.3852 | + | 11.7717i | −0.849388 | + | 0.427566i | ||||
\(759\) | 70.7862 | − | 11.8393i | 2.56938 | − | 0.429738i | ||||
\(760\) | 2.90619 | − | 9.37244i | 0.105419 | − | 0.339974i | ||||
\(761\) | −21.2426 | − | 29.2380i | −0.770045 | − | 1.05988i | −0.996311 | − | 0.0858106i | \(-0.972652\pi\) |
0.226266 | − | 0.974065i | \(-0.427348\pi\) | |||||||
\(762\) | −11.0823 | − | 33.6775i | −0.401470 | − | 1.22001i | ||||
\(763\) | −3.48920 | + | 4.80247i | −0.126317 | + | 0.173861i | ||||
\(764\) | 4.50856 | − | 6.07958i | 0.163114 | − | 0.219951i | ||||
\(765\) | −24.1964 | − | 2.71278i | −0.874823 | − | 0.0980807i | ||||
\(766\) | 16.8723 | + | 8.70104i | 0.609621 | + | 0.314381i | ||||
\(767\) | −2.97773 | − | 9.16450i | −0.107520 | − | 0.330911i | ||||
\(768\) | −11.8231 | − | 25.0642i | −0.426629 | − | 0.904426i | ||||
\(769\) | 11.5628 | + | 35.5867i | 0.416966 | + | 1.28329i | 0.910481 | + | 0.413551i | \(0.135712\pi\) |
−0.493516 | + | 0.869737i | \(0.664288\pi\) | |||||||
\(770\) | 1.55204 | + | 66.7107i | 0.0559315 | + | 2.40409i | ||||
\(771\) | 35.8709 | − | 18.6693i | 1.29186 | − | 0.672357i | ||||
\(772\) | 0.349642 | − | 35.7529i | 0.0125839 | − | 1.28678i | ||||
\(773\) | −2.61384 | − | 3.59764i | −0.0940132 | − | 0.129398i | 0.759419 | − | 0.650602i | \(-0.225483\pi\) |
−0.853432 | + | 0.521204i | \(0.825483\pi\) | |||||||
\(774\) | −11.1094 | + | 1.90096i | −0.399320 | + | 0.0683285i | ||||
\(775\) | 14.3185 | − | 11.6886i | 0.514336 | − | 0.419868i | ||||
\(776\) | −18.8526 | + | 9.26012i | −0.676771 | + | 0.332419i | ||||
\(777\) | 32.8831 | + | 4.91731i | 1.17967 | + | 0.176408i | ||||
\(778\) | −26.0943 | − | 4.26382i | −0.935526 | − | 0.152865i | ||||
\(779\) | 0.485753 | − | 1.49499i | 0.0174039 | − | 0.0535638i | ||||
\(780\) | 0.292405 | + | 10.8225i | 0.0104698 | + | 0.387508i | ||||
\(781\) | 9.52111 | + | 29.3030i | 0.340692 | + | 1.04854i | ||||
\(782\) | −5.11578 | − | 33.3545i | −0.182940 | − | 1.19275i | ||||
\(783\) | −12.1618 | − | 5.80476i | −0.434628 | − | 0.207445i | ||||
\(784\) | 16.8288 | + | 0.329182i | 0.601028 | + | 0.0117565i | ||||
\(785\) | 3.62772 | + | 19.3605i | 0.129479 | + | 0.691004i | ||||
\(786\) | −0.0798175 | − | 21.2806i | −0.00284700 | − | 0.759055i | ||||
\(787\) | −14.5055 | + | 19.9651i | −0.517065 | + | 0.711679i | −0.985091 | − | 0.172036i | \(-0.944966\pi\) |
0.468025 | + | 0.883715i | \(0.344966\pi\) | |||||||
\(788\) | 1.14537 | − | 3.41122i | 0.0408021 | − | 0.121520i | ||||
\(789\) | 6.04321 | − | 40.4122i | 0.215144 | − | 1.43871i | ||||
\(790\) | 22.7764 | + | 29.8628i | 0.810346 | + | 1.06247i | ||||
\(791\) | −55.4994 | − | 40.3227i | −1.97333 | − | 1.43371i | ||||
\(792\) | 37.7192 | − | 37.9168i | 1.34029 | − | 1.34731i | ||||
\(793\) | 3.25618 | 0.115630 | ||||||||
\(794\) | −1.37024 | − | 2.72207i | −0.0486280 | − | 0.0966026i | ||||
\(795\) | 33.5068 | − | 12.2670i | 1.18836 | − | 0.435067i | ||||
\(796\) | 10.3645 | + | 0.101358i | 0.367359 | + | 0.00359255i | ||||
\(797\) | −29.2469 | − | 9.50290i | −1.03598 | − | 0.336610i | −0.258827 | − | 0.965924i | \(-0.583336\pi\) |
−0.777151 | + | 0.629314i | \(0.783336\pi\) | |||||||
\(798\) | −0.0477208 | − | 12.7231i | −0.00168930 | − | 0.450394i | ||||
\(799\) | 16.0246i | 0.566911i | ||||||||
\(800\) | −12.0317 | + | 25.5976i | −0.425383 | + | 0.905013i | ||||
\(801\) | −28.9867 | + | 0.500954i | −1.02420 | + | 0.0177003i | ||||
\(802\) | −34.4256 | − | 34.7639i | −1.21561 | − | 1.22756i | ||||
\(803\) | −16.6344 | + | 51.1954i | −0.587015 | + | 1.80665i | ||||
\(804\) | 28.9066 | − | 28.8408i | 1.01946 | − | 1.01714i | ||||
\(805\) | −33.8056 | + | 35.7645i | −1.19149 | + | 1.26053i | ||||
\(806\) | 6.52678 | − | 3.28546i | 0.229896 | − | 0.115725i | ||||
\(807\) | −15.6697 | − | 15.4013i | −0.551600 | − | 0.542150i | ||||
\(808\) | 18.2391 | − | 17.7118i | 0.641651 | − | 0.623097i | ||||
\(809\) | 14.7128 | − | 20.2505i | 0.517276 | − | 0.711969i | −0.467849 | − | 0.883808i | \(-0.654971\pi\) |
0.985125 | + | 0.171839i | \(0.0549709\pi\) | |||||||
\(810\) | 7.21585 | − | 27.5306i | 0.253539 | − | 0.967325i | ||||
\(811\) | 3.07030 | + | 4.22591i | 0.107813 | + | 0.148392i | 0.859514 | − | 0.511112i | \(-0.170766\pi\) |
−0.751701 | + | 0.659504i | \(0.770766\pi\) | |||||||
\(812\) | 16.4619 | + | 5.52734i | 0.577699 | + | 0.193972i | ||||
\(813\) | 7.79259 | + | 46.5914i | 0.273298 | + | 1.63403i | ||||
\(814\) | −36.3172 | + | 35.9637i | −1.27292 | + | 1.26053i | ||||
\(815\) | −10.4898 | − | 4.97805i | −0.367443 | − | 0.174373i | ||||
\(816\) | −17.5861 | − | 17.9743i | −0.615636 | − | 0.629228i | ||||
\(817\) | −1.27369 | − | 3.92000i | −0.0445606 | − | 0.137144i | ||||
\(818\) | 37.9366 | − | 5.81857i | 1.32642 | − | 0.203441i | ||||
\(819\) | 4.56793 | + | 13.2737i | 0.159616 | + | 0.463820i | ||||
\(820\) | −1.98250 | + | 4.07423i | −0.0692321 | + | 0.142278i | ||||
\(821\) | 10.8208 | + | 3.51590i | 0.377650 | + | 0.122706i | 0.491690 | − | 0.870770i | \(-0.336379\pi\) |
−0.114040 | + | 0.993476i | \(0.536379\pi\) | |||||||
\(822\) | 17.1330 | − | 12.5463i | 0.597583 | − | 0.437603i | ||||
\(823\) | −24.2306 | − | 33.3506i | −0.844627 | − | 1.16253i | −0.985021 | − | 0.172433i | \(-0.944837\pi\) |
0.140394 | − | 0.990096i | \(-0.455163\pi\) | |||||||
\(824\) | −4.74989 | − | 9.67028i | −0.165470 | − | 0.336880i | ||||
\(825\) | −54.3542 | − | 5.02233i | −1.89237 | − | 0.174855i | ||||
\(826\) | −4.94857 | − | 32.2643i | −0.172183 | − | 1.12262i | ||||
\(827\) | 5.99315 | − | 4.35428i | 0.208402 | − | 0.151413i | −0.478688 | − | 0.877985i | \(-0.658888\pi\) |
0.687090 | + | 0.726572i | \(0.258888\pi\) | |||||||
\(828\) | 39.4430 | − | 0.295882i | 1.37074 | − | 0.0102826i | ||||
\(829\) | −4.76424 | + | 14.6628i | −0.165469 | + | 0.509261i | −0.999071 | − | 0.0431050i | \(-0.986275\pi\) |
0.833602 | + | 0.552366i | \(0.186275\pi\) | |||||||
\(830\) | 4.96324 | − | 16.5778i | 0.172276 | − | 0.575422i | ||||
\(831\) | −47.0341 | − | 23.4554i | −1.63160 | − | 0.813660i | ||||
\(832\) | −6.83485 | + | 8.84935i | −0.236956 | + | 0.306796i | ||||
\(833\) | 14.5258 | − | 4.71971i | 0.503288 | − | 0.163528i | ||||
\(834\) | 3.15141 | + | 9.57669i | 0.109125 | + | 0.331614i | ||||
\(835\) | −8.09660 | + | 4.41678i | −0.280194 | + | 0.152849i | ||||
\(836\) | 15.7100 | + | 11.6504i | 0.543342 | + | 0.402938i | ||||
\(837\) | −18.8880 | + | 3.49562i | −0.652865 | + | 0.120826i | ||||
\(838\) | 23.1983 | + | 11.9634i | 0.801373 | + | 0.413268i | ||||
\(839\) | −10.1069 | + | 7.34312i | −0.348930 | + | 0.253513i | −0.748420 | − | 0.663225i | \(-0.769187\pi\) |
0.399490 | + | 0.916738i | \(0.369187\pi\) | |||||||
\(840\) | −4.93438 | + | 36.3402i | −0.170252 | + | 1.25386i | ||||
\(841\) | −18.0200 | − | 13.0923i | −0.621378 | − | 0.451457i | ||||
\(842\) | −1.15038 | − | 2.28530i | −0.0396446 | − | 0.0787566i | ||||
\(843\) | 0.663997 | + | 0.652621i | 0.0228693 | + | 0.0224775i | ||||
\(844\) | −28.8524 | + | 20.5344i | −0.993140 | + | 0.706824i | ||||
\(845\) | −21.6841 | + | 11.8289i | −0.745955 | + | 0.406926i | ||||
\(846\) | −18.5355 | − | 2.70075i | −0.637265 | − | 0.0928539i | ||||
\(847\) | −91.4696 | − | 29.7203i | −3.14293 | − | 1.02120i | ||||
\(848\) | 34.8189 | + | 12.0711i | 1.19569 | + | 0.414525i | ||||
\(849\) | −26.1082 | − | 25.6609i | −0.896031 | − | 0.880680i | ||||
\(850\) | −2.70694 | + | 25.5219i | −0.0928471 | + | 0.875394i | ||||
\(851\) | −37.6947 | −1.29216 | ||||||||
\(852\) | 2.62994 | + | 16.7281i | 0.0901002 | + | 0.573094i | ||||
\(853\) | −5.14448 | + | 15.8331i | −0.176144 | + | 0.542114i | −0.999684 | − | 0.0251435i | \(-0.991996\pi\) |
0.823540 | + | 0.567258i | \(0.191996\pi\) | |||||||
\(854\) | 10.8857 | + | 1.77872i | 0.372500 | + | 0.0608666i | ||||
\(855\) | 10.3431 | + | 1.15962i | 0.353727 | + | 0.0396581i | ||||
\(856\) | −11.9196 | − | 12.2745i | −0.407404 | − | 0.419535i | ||||
\(857\) | − | 26.4490i | − | 0.903480i | −0.892150 | − | 0.451740i | \(-0.850803\pi\) | ||
0.892150 | − | 0.451740i | \(-0.149197\pi\) | |||||||
\(858\) | −20.5479 | − | 6.59131i | −0.701493 | − | 0.225024i | ||||
\(859\) | 29.6495 | − | 40.8091i | 1.01163 | − | 1.39239i | 0.0937188 | − | 0.995599i | \(-0.470125\pi\) |
0.917910 | − | 0.396789i | \(-0.129875\pi\) | |||||||
\(860\) | 2.07378 | + | 11.6982i | 0.0707154 | + | 0.398905i | ||||
\(861\) | −0.868868 | + | 5.81029i | −0.0296109 | + | 0.198014i | ||||
\(862\) | −19.7083 | − | 10.1636i | −0.671269 | − | 0.346173i | ||||
\(863\) | −9.82034 | − | 7.13490i | −0.334288 | − | 0.242875i | 0.407960 | − | 0.913000i | \(-0.366240\pi\) |
−0.742248 | + | 0.670125i | \(0.766240\pi\) | |||||||
\(864\) | 23.7547 | − | 17.3123i | 0.808150 | − | 0.588976i | ||||
\(865\) | 9.77385 | − | 10.3402i | 0.332321 | − | 0.351578i | ||||
\(866\) | 7.91878 | + | 4.08371i | 0.269091 | + | 0.138770i | ||||
\(867\) | 5.93046 | + | 2.95746i | 0.201409 | + | 0.100440i | ||||
\(868\) | 23.6143 | − | 7.41823i | 0.801520 | − | 0.251791i | ||||
\(869\) | −71.1950 | + | 23.1326i | −2.41512 | + | 0.784721i | ||||
\(870\) | −6.04198 | + | 12.8560i | −0.204842 | + | 0.435861i | ||||
\(871\) | −15.6691 | − | 5.09120i | −0.530927 | − | 0.172509i | ||||
\(872\) | −0.711807 | − | 4.96442i | −0.0241048 | − | 0.168117i | ||||
\(873\) | −13.4043 | − | 17.7945i | −0.453666 | − | 0.602252i | ||||
\(874\) | 2.18681 | + | 14.2579i | 0.0739701 | + | 0.482279i | ||||
\(875\) | 31.7981 | − | 19.7454i | 1.07497 | − | 0.667517i | ||||
\(876\) | −13.4612 | + | 26.3448i | −0.454811 | + | 0.890109i | ||||
\(877\) | −3.94787 | + | 2.86829i | −0.133310 | + | 0.0968553i | −0.652442 | − | 0.757839i | \(-0.726255\pi\) |
0.519132 | + | 0.854694i | \(0.326255\pi\) | |||||||
\(878\) | 18.0308 | + | 2.94624i | 0.608509 | + | 0.0994307i | ||||
\(879\) | −49.5300 | + | 25.7782i | −1.67060 | + | 0.869478i | ||||
\(880\) | −40.2048 | − | 39.5198i | −1.35531 | − | 1.33221i | ||||
\(881\) | −38.7248 | + | 12.5824i | −1.30467 | + | 0.423913i | −0.877204 | − | 0.480118i | \(-0.840594\pi\) |
−0.427467 | + | 0.904031i | \(0.640594\pi\) | |||||||
\(882\) | 3.01110 | + | 17.5973i | 0.101389 | + | 0.592531i | ||||
\(883\) | −43.2016 | + | 14.0371i | −1.45385 | + | 0.472384i | −0.926185 | − | 0.377068i | \(-0.876932\pi\) |
−0.527665 | + | 0.849453i | \(0.676932\pi\) | |||||||
\(884\) | −3.22952 | + | 9.61837i | −0.108621 | + | 0.323501i | ||||
\(885\) | 26.6836 | − | 0.982152i | 0.896958 | − | 0.0330147i | ||||
\(886\) | 6.39907 | − | 6.33680i | 0.214981 | − | 0.212889i | ||||
\(887\) | −12.4772 | − | 9.06524i | −0.418944 | − | 0.304381i | 0.358269 | − | 0.933619i | \(-0.383367\pi\) |
−0.777213 | + | 0.629238i | \(0.783367\pi\) | |||||||
\(888\) | −22.8246 | + | 16.3737i | −0.765944 | + | 0.549467i | ||||
\(889\) | −39.2024 | + | 28.4822i | −1.31481 | + | 0.955262i | ||||
\(890\) | 0.710774 | + | 30.5510i | 0.0238252 | + | 1.02407i | ||||
\(891\) | 47.0180 | + | 31.7377i | 1.57516 | + | 1.06325i | ||||
\(892\) | 23.3864 | − | 16.6442i | 0.783033 | − | 0.557290i | ||||
\(893\) | − | 6.84996i | − | 0.229225i | ||||||
\(894\) | 0.927445 | − | 2.89123i | 0.0310184 | − | 0.0966974i | ||||
\(895\) | 2.70876 | + | 0.351187i | 0.0905440 | + | 0.0117389i | ||||
\(896\) | −27.6835 | + | 25.8505i | −0.924841 | + | 0.863604i | ||||
\(897\) | −7.34743 | − | 14.1173i | −0.245323 | − | 0.471361i | ||||
\(898\) | 23.3175 | + | 23.5467i | 0.778115 | + | 0.785762i | ||||
\(899\) | 9.58736 | 0.319756 | ||||||||
\(900\) | −29.0647 | − | 7.43249i | −0.968824 | − | 0.247750i | ||||
\(901\) | 33.4394 | 1.11403 | ||||||||
\(902\) | −6.35463 | − | 6.41708i | −0.211586 | − | 0.213665i | ||||
\(903\) | 7.11182 | + | 13.6646i | 0.236666 | + | 0.454728i | ||||
\(904\) | 57.3710 | − | 8.22595i | 1.90813 | − | 0.273591i | ||||
\(905\) | 46.7344 | − | 25.4941i | 1.55350 | − | 0.847451i | ||||
\(906\) | −9.39897 | + | 29.3005i | −0.312260 | + | 0.973445i | ||||
\(907\) | − | 4.83993i | − | 0.160707i | −0.996766 | − | 0.0803536i | \(-0.974395\pi\) | ||
0.996766 | − | 0.0803536i | \(-0.0256050\pi\) | |||||||
\(908\) | 23.9309 | + | 33.6247i | 0.794175 | + | 1.11587i | ||||
\(909\) | 22.0866 | + | 15.4709i | 0.732568 | + | 0.513138i | ||||
\(910\) | 13.9627 | − | 4.89861i | 0.462857 | − | 0.162388i | ||||
\(911\) | 25.5164 | − | 18.5387i | 0.845396 | − | 0.614216i | −0.0784771 | − | 0.996916i | \(-0.525006\pi\) |
0.923873 | + | 0.382700i | \(0.125006\pi\) | |||||||
\(912\) | 7.51743 | + | 7.68340i | 0.248927 | + | 0.254423i | ||||
\(913\) | 27.9044 | + | 20.2737i | 0.923501 | + | 0.670962i | ||||
\(914\) | 8.36338 | − | 8.28199i | 0.276636 | − | 0.273944i | ||||
\(915\) | −2.47068 | + | 8.67798i | −0.0816783 | + | 0.286885i | ||||
\(916\) | 2.41499 | + | 0.810870i | 0.0797934 | + | 0.0267919i | ||||
\(917\) | −27.6619 | + | 8.98790i | −0.913477 | + | 0.296807i | ||||
\(918\) | 15.2201 | − | 21.9030i | 0.502339 | − | 0.722905i | ||||
\(919\) | 30.3092 | − | 9.84805i | 0.999807 | − | 0.324857i | 0.237019 | − | 0.971505i | \(-0.423830\pi\) |
0.762789 | + | 0.646648i | \(0.223830\pi\) | |||||||
\(920\) | −0.560529 | − | 41.5739i | −0.0184801 | − | 1.37065i | ||||
\(921\) | 11.1064 | − | 5.78041i | 0.365969 | − | 0.190471i | ||||
\(922\) | −27.4414 | − | 4.48394i | −0.903735 | − | 0.147671i | ||||
\(923\) | 5.52745 | − | 4.01593i | 0.181938 | − | 0.132186i | ||||
\(924\) | −65.0926 | − | 33.2598i | −2.14139 | − | 1.09417i | ||||
\(925\) | 27.7216 | + | 7.31101i | 0.911482 | + | 0.240385i | ||||
\(926\) | 2.09727 | + | 13.6741i | 0.0689207 | + | 0.449357i | ||||
\(927\) | 9.12751 | − | 6.87560i | 0.299787 | − | 0.225824i | ||||
\(928\) | −13.2308 | + | 6.33892i | −0.434322 | + | 0.208085i | ||||
\(929\) | −14.5719 | − | 4.73471i | −0.478090 | − | 0.155341i | 0.0600516 | − | 0.998195i | \(-0.480873\pi\) |
−0.538142 | + | 0.842854i | \(0.680873\pi\) | |||||||
\(930\) | 3.80371 | + | 19.8873i | 0.124729 | + | 0.652130i | ||||
\(931\) | −6.20926 | + | 2.01751i | −0.203500 | + | 0.0661212i | ||||
\(932\) | 9.24190 | + | 29.4195i | 0.302729 | + | 0.963668i | ||||
\(933\) | −32.5560 | − | 16.2353i | −1.06584 | − | 0.531521i | ||||
\(934\) | −39.3848 | − | 20.3107i | −1.28871 | − | 0.664587i | ||||
\(935\) | −46.2154 | − | 21.9319i | −1.51140 | − | 0.717250i | ||||
\(936\) | −10.5812 | − | 5.35661i | −0.345856 | − | 0.175086i | ||||
\(937\) | −34.2133 | − | 24.8574i | −1.11770 | − | 0.812055i | −0.133840 | − | 0.991003i | \(-0.542731\pi\) |
−0.983859 | + | 0.178948i | \(0.942731\pi\) | |||||||
\(938\) | −49.6019 | − | 25.5797i | −1.61956 | − | 0.835207i | ||||
\(939\) | −1.07635 | + | 7.19775i | −0.0351253 | + | 0.234890i | ||||
\(940\) | −2.72995 | + | 19.5548i | −0.0890411 | + | 0.637809i | ||||
\(941\) | 11.1358 | − | 15.3271i | 0.363016 | − | 0.499649i | −0.587970 | − | 0.808883i | \(-0.700073\pi\) |
0.950986 | + | 0.309234i | \(0.100073\pi\) | |||||||
\(942\) | −20.5462 | − | 6.59077i | −0.669432 | − | 0.214739i | ||||
\(943\) | − | 6.66049i | − | 0.216895i | ||||||
\(944\) | 21.9892 | + | 16.6428i | 0.715689 | + | 0.541676i | ||||
\(945\) | −38.8415 | + | 2.10226i | −1.26351 | + | 0.0683864i | ||||
\(946\) | −23.3703 | − | 3.81872i | −0.759834 | − | 0.124157i | ||||
\(947\) | −6.96345 | + | 21.4313i | −0.226282 | + | 0.696423i | 0.771877 | + | 0.635771i | \(0.219318\pi\) |
−0.998159 | + | 0.0606518i | \(0.980682\pi\) | |||||||
\(948\) | −40.6427 | + | 6.38974i | −1.32001 | + | 0.207529i | ||||
\(949\) | 11.9368 | 0.387484 | ||||||||
\(950\) | 1.15712 | − | 10.9097i | 0.0375419 | − | 0.353958i | ||||
\(951\) | 25.6287 | + | 25.1896i | 0.831068 | + | 0.816829i | ||||
\(952\) | −16.0507 | + | 30.3908i | −0.520206 | + | 0.984972i | ||||
\(953\) | 21.3692 | + | 6.94327i | 0.692215 | + | 0.224914i | 0.633936 | − | 0.773386i | \(-0.281438\pi\) |
0.0582799 | + | 0.998300i | \(0.481438\pi\) | |||||||
\(954\) | −5.63579 | + | 38.6790i | −0.182466 | + | 1.25228i | ||||
\(955\) | 3.62806 | − | 7.64511i | 0.117401 | − | 0.247390i | ||||
\(956\) | −4.67379 | − | 6.56702i | −0.151161 | − | 0.212393i | ||||
\(957\) | −20.1928 | − | 19.8468i | −0.652740 | − | 0.641557i | ||||
\(958\) | −14.2724 | − | 28.3531i | −0.461121 | − | 0.916046i | ||||
\(959\) | −23.4807 | − | 17.0597i | −0.758230 | − | 0.550887i | ||||
\(960\) | −18.3982 | − | 24.9300i | −0.593799 | − | 0.804614i | ||||
\(961\) | −14.0237 | + | 10.1888i | −0.452377 | + | 0.328671i | ||||
\(962\) | 10.0732 | + | 5.19475i | 0.324773 | + | 0.167486i | ||||
\(963\) | 10.4116 | − | 14.8638i | 0.335509 | − | 0.478980i | ||||
\(964\) | −6.78728 | + | 9.15232i | −0.218604 | + | 0.294776i | ||||
\(965\) | −7.36229 | − | 39.2911i | −0.237000 | − | 1.26483i | ||||
\(966\) | −16.8513 | − | 51.2087i | −0.542183 | − | 1.64761i | ||||
\(967\) | 30.4677 | − | 9.89957i | 0.979776 | − | 0.318349i | 0.225020 | − | 0.974354i | \(-0.427755\pi\) |
0.754756 | + | 0.656005i | \(0.227755\pi\) | |||||||
\(968\) | 72.9322 | − | 35.8232i | 2.34413 | − | 1.15140i | ||||
\(969\) | 8.72867 | + | 4.35290i | 0.280405 | + | 0.139835i | ||||
\(970\) | −18.6722 | + | 14.2413i | −0.599528 | + | 0.457260i | ||||
\(971\) | 12.7013 | − | 39.0907i | 0.407605 | − | 1.25448i | −0.511095 | − | 0.859524i | \(-0.670760\pi\) |
0.918700 | − | 0.394956i | \(-0.129240\pi\) | |||||||
\(972\) | 22.7698 | + | 21.2964i | 0.730340 | + | 0.683083i | ||||
\(973\) | 11.1478 | − | 8.09932i | 0.357381 | − | 0.259652i | ||||
\(974\) | 1.10040 | + | 7.17452i | 0.0352591 | + | 0.229886i | ||||
\(975\) | 2.66539 | + | 11.8072i | 0.0853609 | + | 0.378134i | ||||
\(976\) | −7.64470 | + | 5.32893i | −0.244701 | + | 0.170575i | ||||
\(977\) | 16.7443 | + | 23.0465i | 0.535697 | + | 0.737324i | 0.987985 | − | 0.154548i | \(-0.0493920\pi\) |
−0.452288 | + | 0.891872i | \(0.649392\pi\) | |||||||
\(978\) | 10.2620 | − | 7.51478i | 0.328144 | − | 0.240296i | ||||
\(979\) | −57.9293 | − | 18.8224i | −1.85143 | − | 0.601565i | ||||
\(980\) | 18.5298 | − | 3.28486i | 0.591914 | − | 0.104931i | ||||
\(981\) | 5.02991 | − | 1.73096i | 0.160593 | − | 0.0552654i | ||||
\(982\) | 11.2263 | − | 1.72185i | 0.358246 | − | 0.0549464i | ||||
\(983\) | 14.1142 | + | 43.4392i | 0.450174 | + | 1.38549i | 0.876708 | + | 0.481023i | \(0.159734\pi\) |
−0.426534 | + | 0.904472i | \(0.640266\pi\) | |||||||
\(984\) | −2.89317 | − | 4.03301i | −0.0922308 | − | 0.128568i | ||||
\(985\) | 0.517259 | − | 3.98971i | 0.0164812 | − | 0.127123i | ||||
\(986\) | −9.45916 | + | 9.36711i | −0.301241 | + | 0.298309i | ||||
\(987\) | 4.22319 | + | 25.2502i | 0.134426 | + | 0.803722i | ||||
\(988\) | 1.38051 | − | 4.11151i | 0.0439197 | − | 0.130805i | ||||
\(989\) | −10.2653 | − | 14.1290i | −0.326418 | − | 0.449275i | ||||
\(990\) | 33.1575 | − | 49.7605i | 1.05381 | − | 1.58149i | ||||
\(991\) | 33.6068 | − | 46.2557i | 1.06755 | − | 1.46936i | 0.195026 | − | 0.980798i | \(-0.437521\pi\) |
0.872528 | − | 0.488564i | \(-0.162479\pi\) | |||||||
\(992\) | −9.94641 | + | 18.3949i | −0.315799 | + | 0.584040i | ||||
\(993\) | −21.7034 | − | 21.3315i | −0.688735 | − | 0.676935i | ||||
\(994\) | 20.6725 | − | 10.4061i | 0.655691 | − | 0.330063i | ||||
\(995\) | 11.3902 | − | 2.13427i | 0.361092 | − | 0.0676608i | ||||
\(996\) | 13.3890 | + | 13.4195i | 0.424245 | + | 0.425213i | ||||
\(997\) | −17.1899 | + | 52.9051i | −0.544410 | + | 1.67552i | 0.177980 | + | 0.984034i | \(0.443044\pi\) |
−0.722390 | + | 0.691486i | \(0.756956\pi\) | |||||||
\(998\) | 10.7374 | + | 10.8429i | 0.339885 | + | 0.343226i | ||||
\(999\) | −21.6066 | − | 20.5146i | −0.683604 | − | 0.649053i |
(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 | 300.2.n.a.11.15 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.11.42 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.11.49 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.11.8 | ✓ | 224 | |
25.16 | even | 5 | inner | 300.2.n.a.191.8 | yes | 224 | |
75.41 | odd | 10 | inner | 300.2.n.a.191.49 | yes | 224 | |
100.91 | odd | 10 | inner | 300.2.n.a.191.42 | yes | 224 | |
300.191 | even | 10 | inner | 300.2.n.a.191.15 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.11.8 | ✓ | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.11.15 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.11.42 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.11.49 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.191.8 | yes | 224 | 25.16 | even | 5 | inner | |
300.2.n.a.191.15 | yes | 224 | 300.191 | even | 10 | inner | |
300.2.n.a.191.42 | yes | 224 | 100.91 | odd | 10 | inner | |
300.2.n.a.191.49 | yes | 224 | 75.41 | odd | 10 | inner |