Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(11,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 0, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.br (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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 930.11 |
Dual form | 930.2.br.b.761.13 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{23}{30}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.951057 | − | 0.309017i | 0.672499 | − | 0.218508i | ||||
\(3\) | −1.70118 | − | 0.325530i | −0.982180 | − | 0.187945i | ||||
\(4\) | 0.809017 | − | 0.587785i | 0.404508 | − | 0.293893i | ||||
\(5\) | 0.866025 | − | 0.500000i | 0.387298 | − | 0.223607i | ||||
\(6\) | −1.71852 | + | 0.216097i | −0.701582 | + | 0.0882214i | ||||
\(7\) | −0.228500 | − | 2.17403i | −0.0863647 | − | 0.821706i | −0.948872 | − | 0.315661i | \(-0.897774\pi\) |
0.862507 | − | 0.506045i | \(-0.168893\pi\) | |||||||
\(8\) | 0.587785 | − | 0.809017i | 0.207813 | − | 0.286031i | ||||
\(9\) | 2.78806 | + | 1.10757i | 0.929353 | + | 0.369191i | ||||
\(10\) | 0.669131 | − | 0.743145i | 0.211598 | − | 0.235003i | ||||
\(11\) | 3.37174 | + | 1.50120i | 1.01662 | + | 0.452628i | 0.846269 | − | 0.532755i | \(-0.178843\pi\) |
0.170350 | + | 0.985384i | \(0.445510\pi\) | |||||||
\(12\) | −1.56763 | + | 0.736572i | −0.452536 | + | 0.212630i | ||||
\(13\) | −0.565435 | − | 2.66016i | −0.156824 | − | 0.737797i | −0.984329 | − | 0.176340i | \(-0.943574\pi\) |
0.827506 | − | 0.561457i | \(-0.189759\pi\) | |||||||
\(14\) | −0.889128 | − | 1.99701i | −0.237629 | − | 0.533724i | ||||
\(15\) | −1.63603 | + | 0.568675i | −0.422422 | + | 0.146831i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −4.18937 | + | 1.86523i | −1.01607 | + | 0.452385i | −0.846077 | − | 0.533060i | \(-0.821042\pi\) |
−0.169995 | + | 0.985445i | \(0.554375\pi\) | |||||||
\(18\) | 2.99386 | + | 0.191808i | 0.705660 | + | 0.0452095i | ||||
\(19\) | 7.02672 | + | 1.49358i | 1.61204 | + | 0.342650i | 0.923812 | − | 0.382846i | \(-0.125056\pi\) |
0.688227 | + | 0.725495i | \(0.258389\pi\) | |||||||
\(20\) | 0.406737 | − | 0.913545i | 0.0909491 | − | 0.204275i | ||||
\(21\) | −0.318992 | + | 3.77281i | −0.0696097 | + | 0.823294i | ||||
\(22\) | 3.67062 | + | 0.385797i | 0.782578 | + | 0.0822522i | ||||
\(23\) | −4.43137 | − | 3.21958i | −0.924004 | − | 0.671328i | 0.0205136 | − | 0.999790i | \(-0.493470\pi\) |
−0.944517 | + | 0.328462i | \(0.893470\pi\) | |||||||
\(24\) | −1.26329 | + | 1.18495i | −0.257868 | + | 0.241876i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | −1.35980 | − | 2.35524i | −0.266678 | − | 0.461900i | ||||
\(27\) | −4.38246 | − | 2.79179i | −0.843404 | − | 0.537279i | ||||
\(28\) | −1.46272 | − | 1.62452i | −0.276429 | − | 0.307005i | ||||
\(29\) | −1.85284 | − | 5.70246i | −0.344064 | − | 1.05892i | −0.962083 | − | 0.272756i | \(-0.912065\pi\) |
0.618019 | − | 0.786163i | \(-0.287935\pi\) | |||||||
\(30\) | −1.38023 | + | 1.04640i | −0.251995 | + | 0.191046i | ||||
\(31\) | 3.69419 | − | 4.16569i | 0.663496 | − | 0.748180i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | −5.24728 | − | 3.65142i | −0.913434 | − | 0.635631i | ||||
\(34\) | −3.40794 | + | 3.06853i | −0.584458 | + | 0.526248i | ||||
\(35\) | −1.28490 | − | 1.76851i | −0.217188 | − | 0.298933i | ||||
\(36\) | 2.90660 | − | 0.742734i | 0.484434 | − | 0.123789i | ||||
\(37\) | −2.33106 | − | 1.34584i | −0.383224 | − | 0.221254i | 0.295996 | − | 0.955189i | \(-0.404348\pi\) |
−0.679220 | + | 0.733935i | \(0.737682\pi\) | |||||||
\(38\) | 7.14435 | − | 0.750901i | 1.15897 | − | 0.121812i | ||||
\(39\) | 0.0959463 | + | 4.70950i | 0.0153637 | + | 0.754123i | ||||
\(40\) | 0.104528 | − | 0.994522i | 0.0165274 | − | 0.157248i | ||||
\(41\) | −4.55509 | − | 4.10142i | −0.711386 | − | 0.640535i | 0.231814 | − | 0.972760i | \(-0.425534\pi\) |
−0.943200 | + | 0.332225i | \(0.892201\pi\) | |||||||
\(42\) | 0.862483 | + | 3.68673i | 0.133084 | + | 0.568874i | ||||
\(43\) | 0.429934 | − | 2.02268i | 0.0655643 | − | 0.308456i | −0.933130 | − | 0.359539i | \(-0.882934\pi\) |
0.998694 | + | 0.0510832i | \(0.0162674\pi\) | |||||||
\(44\) | 3.61018 | − | 0.767368i | 0.544255 | − | 0.115685i | ||||
\(45\) | 2.96832 | − | 0.434843i | 0.442491 | − | 0.0648225i | ||||
\(46\) | −5.20938 | − | 1.69263i | −0.768082 | − | 0.249565i | ||||
\(47\) | 10.3554 | + | 3.36468i | 1.51049 | + | 0.490789i | 0.943058 | − | 0.332629i | \(-0.107936\pi\) |
0.567436 | + | 0.823418i | \(0.307936\pi\) | |||||||
\(48\) | −0.835293 | + | 1.51733i | −0.120564 | + | 0.219008i | ||||
\(49\) | 2.17284 | − | 0.461852i | 0.310406 | − | 0.0659789i | ||||
\(50\) | 0.207912 | − | 0.978148i | 0.0294032 | − | 0.138331i | ||||
\(51\) | 7.73409 | − | 1.80933i | 1.08299 | − | 0.253357i | ||||
\(52\) | −2.02105 | − | 1.81976i | −0.280269 | − | 0.252356i | ||||
\(53\) | −0.296898 | + | 2.82480i | −0.0407821 | + | 0.388016i | 0.955024 | + | 0.296528i | \(0.0958288\pi\) |
−0.995806 | + | 0.0914875i | \(0.970838\pi\) | |||||||
\(54\) | −5.03067 | − | 1.30089i | −0.684588 | − | 0.177029i | ||||
\(55\) | 3.67062 | − | 0.385797i | 0.494946 | − | 0.0520209i | ||||
\(56\) | −1.89313 | − | 1.09300i | −0.252981 | − | 0.146059i | ||||
\(57\) | −11.4675 | − | 4.82826i | −1.51891 | − | 0.639518i | ||||
\(58\) | −3.52431 | − | 4.85080i | −0.462765 | − | 0.636941i | ||||
\(59\) | −2.06251 | + | 1.85710i | −0.268517 | + | 0.241773i | −0.792378 | − | 0.610030i | \(-0.791157\pi\) |
0.523862 | + | 0.851803i | \(0.324491\pi\) | |||||||
\(60\) | −0.989321 | + | 1.42170i | −0.127721 | + | 0.183541i | ||||
\(61\) | − | 15.3542i | − | 1.96590i | −0.183874 | − | 0.982950i | \(-0.558864\pi\) | ||
0.183874 | − | 0.982950i | \(-0.441136\pi\) | |||||||
\(62\) | 2.22611 | − | 5.10337i | 0.282717 | − | 0.648129i | ||||
\(63\) | 1.77083 | − | 6.31440i | 0.223103 | − | 0.795540i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | −1.81976 | − | 2.02105i | −0.225714 | − | 0.250681i | ||||
\(66\) | −6.11881 | − | 1.85121i | −0.753173 | − | 0.227868i | ||||
\(67\) | 2.98226 | + | 5.16542i | 0.364341 | + | 0.631056i | 0.988670 | − | 0.150105i | \(-0.0479611\pi\) |
−0.624330 | + | 0.781161i | \(0.714628\pi\) | |||||||
\(68\) | −2.29292 | + | 3.97146i | −0.278057 | + | 0.481610i | ||||
\(69\) | 6.49050 | + | 6.91964i | 0.781365 | + | 0.833027i | ||||
\(70\) | −1.76851 | − | 1.28490i | −0.211378 | − | 0.153575i | ||||
\(71\) | −11.8911 | − | 1.24981i | −1.41122 | − | 0.148325i | −0.631948 | − | 0.775011i | \(-0.717744\pi\) |
−0.779272 | + | 0.626686i | \(0.784411\pi\) | |||||||
\(72\) | 2.53483 | − | 1.60457i | 0.298732 | − | 0.189101i | ||||
\(73\) | 0.731646 | − | 1.64330i | 0.0856327 | − | 0.192334i | −0.865653 | − | 0.500644i | \(-0.833097\pi\) |
0.951286 | + | 0.308310i | \(0.0997633\pi\) | |||||||
\(74\) | −2.63285 | − | 0.559630i | −0.306063 | − | 0.0650557i | ||||
\(75\) | −1.13251 | + | 1.31050i | −0.130771 | + | 0.151324i | ||||
\(76\) | 6.56264 | − | 2.92187i | 0.752786 | − | 0.335162i | ||||
\(77\) | 2.49320 | − | 7.67329i | 0.284127 | − | 0.874453i | ||||
\(78\) | 1.54656 | + | 4.44935i | 0.175114 | + | 0.503790i | ||||
\(79\) | 4.31032 | + | 9.68114i | 0.484949 | + | 1.08921i | 0.975938 | + | 0.218047i | \(0.0699687\pi\) |
−0.490989 | + | 0.871166i | \(0.663365\pi\) | |||||||
\(80\) | −0.207912 | − | 0.978148i | −0.0232452 | − | 0.109360i | ||||
\(81\) | 6.54656 | + | 6.17597i | 0.727395 | + | 0.686219i | ||||
\(82\) | −5.59956 | − | 2.49308i | −0.618368 | − | 0.275315i | ||||
\(83\) | 0.948324 | − | 1.05322i | 0.104092 | − | 0.115606i | −0.688847 | − | 0.724906i | \(-0.741883\pi\) |
0.792939 | + | 0.609300i | \(0.208550\pi\) | |||||||
\(84\) | 1.95953 | + | 3.23976i | 0.213802 | + | 0.353487i | ||||
\(85\) | −2.69549 | + | 3.71002i | −0.292367 | + | 0.402409i | ||||
\(86\) | −0.216151 | − | 2.05654i | −0.0233082 | − | 0.221762i | ||||
\(87\) | 1.29570 | + | 10.3041i | 0.138914 | + | 1.10471i | ||||
\(88\) | 3.19636 | − | 1.84542i | 0.340733 | − | 0.196722i | ||||
\(89\) | −2.65594 | + | 1.92965i | −0.281529 | + | 0.204543i | −0.719584 | − | 0.694405i | \(-0.755668\pi\) |
0.438055 | + | 0.898948i | \(0.355668\pi\) | |||||||
\(90\) | 2.68866 | − | 1.33082i | 0.283410 | − | 0.140281i | ||||
\(91\) | −5.65407 | + | 1.83712i | −0.592708 | + | 0.192582i | ||||
\(92\) | −5.47747 | −0.571066 | ||||||||
\(93\) | −7.64056 | + | 5.88404i | −0.792289 | + | 0.610146i | ||||
\(94\) | 10.8883 | 1.12305 | ||||||||
\(95\) | 6.83210 | − | 2.21989i | 0.700959 | − | 0.227755i | ||||
\(96\) | −0.325530 | + | 1.70118i | −0.0332243 | + | 0.173626i | ||||
\(97\) | −8.91550 | + | 6.47749i | −0.905231 | + | 0.657689i | −0.939804 | − | 0.341713i | \(-0.888993\pi\) |
0.0345729 | + | 0.999402i | \(0.488993\pi\) | |||||||
\(98\) | 1.92378 | − | 1.11069i | 0.194331 | − | 0.112197i | ||||
\(99\) | 7.73794 | + | 7.91989i | 0.777692 | + | 0.795979i | ||||
\(100\) | −0.104528 | − | 0.994522i | −0.0104528 | − | 0.0994522i | ||||
\(101\) | 3.79042 | − | 5.21707i | 0.377161 | − | 0.519117i | −0.577669 | − | 0.816271i | \(-0.696037\pi\) |
0.954830 | + | 0.297154i | \(0.0960374\pi\) | |||||||
\(102\) | 6.79644 | − | 4.11074i | 0.672948 | − | 0.407024i | ||||
\(103\) | 7.22868 | − | 8.02826i | 0.712263 | − | 0.791048i | −0.273015 | − | 0.962010i | \(-0.588021\pi\) |
0.985278 | + | 0.170962i | \(0.0546875\pi\) | |||||||
\(104\) | −2.48447 | − | 1.10616i | −0.243623 | − | 0.108468i | ||||
\(105\) | 1.61015 | + | 3.42684i | 0.157134 | + | 0.334426i | ||||
\(106\) | 0.590543 | + | 2.77829i | 0.0573586 | + | 0.269851i | ||||
\(107\) | 8.22008 | + | 18.4626i | 0.794665 | + | 1.78485i | 0.592641 | + | 0.805467i | \(0.298085\pi\) |
0.202024 | + | 0.979380i | \(0.435248\pi\) | |||||||
\(108\) | −5.18645 | + | 0.317341i | −0.499067 | + | 0.0305362i | ||||
\(109\) | −4.07983 | + | 12.5564i | −0.390777 | + | 1.20269i | 0.541424 | + | 0.840749i | \(0.317885\pi\) |
−0.932202 | + | 0.361939i | \(0.882115\pi\) | |||||||
\(110\) | 3.37174 | − | 1.50120i | 0.321483 | − | 0.143134i | ||||
\(111\) | 3.52745 | + | 3.04835i | 0.334811 | + | 0.289336i | ||||
\(112\) | −2.13823 | − | 0.454496i | −0.202044 | − | 0.0429458i | ||||
\(113\) | −4.46461 | + | 10.0277i | −0.419995 | + | 0.943324i | 0.572371 | + | 0.819995i | \(0.306024\pi\) |
−0.992366 | + | 0.123329i | \(0.960643\pi\) | |||||||
\(114\) | −12.3983 | − | 1.04828i | −1.16121 | − | 0.0981803i | ||||
\(115\) | −5.44746 | − | 0.572552i | −0.507979 | − | 0.0533907i | ||||
\(116\) | −4.85080 | − | 3.52431i | −0.450385 | − | 0.327224i | ||||
\(117\) | 1.36986 | − | 8.04296i | 0.126644 | − | 0.743572i | ||||
\(118\) | −1.38769 | + | 2.40356i | −0.127748 | + | 0.221265i | ||||
\(119\) | 5.01233 | + | 8.68162i | 0.459480 | + | 0.795843i | ||||
\(120\) | −0.501569 | + | 1.65784i | −0.0457868 | + | 0.151339i | ||||
\(121\) | 1.75463 | + | 1.94872i | 0.159512 | + | 0.177156i | ||||
\(122\) | −4.74470 | − | 14.6027i | −0.429565 | − | 1.32206i | ||||
\(123\) | 6.41392 | + | 8.46010i | 0.578323 | + | 0.762822i | ||||
\(124\) | 0.540130 | − | 5.54150i | 0.0485051 | − | 0.497642i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | −0.267101 | − | 6.55257i | −0.0237953 | − | 0.583749i | ||||
\(127\) | 10.9690 | − | 9.87650i | 0.973338 | − | 0.876397i | −0.0190163 | − | 0.999819i | \(-0.506053\pi\) |
0.992354 | + | 0.123422i | \(0.0393868\pi\) | |||||||
\(128\) | −0.587785 | − | 0.809017i | −0.0519534 | − | 0.0715077i | ||||
\(129\) | −1.38984 | + | 3.30099i | −0.122369 | + | 0.290636i | ||||
\(130\) | −2.35524 | − | 1.35980i | −0.206568 | − | 0.119262i | ||||
\(131\) | −19.8470 | + | 2.08600i | −1.73404 | + | 0.182255i | −0.918225 | − | 0.396060i | \(-0.870377\pi\) |
−0.815814 | + | 0.578315i | \(0.803711\pi\) | |||||||
\(132\) | −6.39139 | + | 0.130211i | −0.556299 | + | 0.0113334i | ||||
\(133\) | 1.64147 | − | 15.6176i | 0.142334 | − | 1.35421i | ||||
\(134\) | 4.43250 | + | 3.99104i | 0.382909 | + | 0.344773i | ||||
\(135\) | −5.19121 | − | 0.226529i | −0.446788 | − | 0.0194965i | ||||
\(136\) | −0.953450 | + | 4.48563i | −0.0817577 | + | 0.384640i | ||||
\(137\) | −5.43517 | + | 1.15528i | −0.464358 | + | 0.0987024i | −0.434149 | − | 0.900841i | \(-0.642951\pi\) |
−0.0302095 | + | 0.999544i | \(0.509617\pi\) | |||||||
\(138\) | 8.31112 | + | 4.57529i | 0.707490 | + | 0.389475i | ||||
\(139\) | 5.01572 | + | 1.62971i | 0.425428 | + | 0.138230i | 0.513903 | − | 0.857848i | \(-0.328199\pi\) |
−0.0884746 | + | 0.996078i | \(0.528199\pi\) | |||||||
\(140\) | −2.07901 | − | 0.675512i | −0.175709 | − | 0.0570912i | ||||
\(141\) | −16.5212 | − | 9.09495i | −1.39133 | − | 0.765933i | ||||
\(142\) | −11.6954 | + | 2.48593i | −0.981453 | + | 0.208614i | ||||
\(143\) | 2.08693 | − | 9.81822i | 0.174518 | − | 0.821041i | ||||
\(144\) | 1.91492 | − | 2.30934i | 0.159577 | − | 0.192445i | ||||
\(145\) | −4.45583 | − | 4.01205i | −0.370037 | − | 0.333183i | ||||
\(146\) | 0.188028 | − | 1.78897i | 0.0155613 | − | 0.148056i | ||||
\(147\) | −3.84676 | + | 0.0783697i | −0.317275 | + | 0.00646383i | ||||
\(148\) | −2.67693 | + | 0.281356i | −0.220042 | + | 0.0231274i | ||||
\(149\) | 12.4377 | + | 7.18089i | 1.01893 | + | 0.588281i | 0.913795 | − | 0.406176i | \(-0.133138\pi\) |
0.105138 | + | 0.994458i | \(0.466471\pi\) | |||||||
\(150\) | −0.672113 | + | 1.59633i | −0.0548778 | + | 0.130340i | ||||
\(151\) | 13.9180 | + | 19.1565i | 1.13263 | + | 1.55893i | 0.782975 | + | 0.622054i | \(0.213701\pi\) |
0.349656 | + | 0.936878i | \(0.386299\pi\) | |||||||
\(152\) | 5.33853 | − | 4.80683i | 0.433012 | − | 0.389886i | ||||
\(153\) | −13.7461 | + | 0.560330i | −1.11131 | + | 0.0453000i | ||||
\(154\) | − | 8.06818i | − | 0.650152i | ||||||
\(155\) | 1.11642 | − | 5.45469i | 0.0896727 | − | 0.438131i | ||||
\(156\) | 2.84580 | + | 3.75367i | 0.227846 | + | 0.300534i | ||||
\(157\) | −3.20316 | − | 9.85832i | −0.255640 | − | 0.786779i | −0.993703 | − | 0.112047i | \(-0.964259\pi\) |
0.738063 | − | 0.674732i | \(-0.235741\pi\) | |||||||
\(158\) | 7.09099 | + | 7.87534i | 0.564129 | + | 0.626529i | ||||
\(159\) | 1.42463 | − | 4.70885i | 0.112981 | − | 0.373436i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | −5.98689 | + | 10.3696i | −0.471833 | + | 0.817238i | ||||
\(162\) | 8.13463 | + | 3.85070i | 0.639117 | + | 0.302539i | ||||
\(163\) | 7.20253 | + | 5.23294i | 0.564145 | + | 0.409876i | 0.832974 | − | 0.553312i | \(-0.186636\pi\) |
−0.268828 | + | 0.963188i | \(0.586636\pi\) | |||||||
\(164\) | −6.09590 | − | 0.640705i | −0.476010 | − | 0.0500307i | ||||
\(165\) | −6.36998 | − | 0.538584i | −0.495903 | − | 0.0419287i | ||||
\(166\) | 0.576447 | − | 1.29472i | 0.0447409 | − | 0.100490i | ||||
\(167\) | 11.1787 | + | 2.37611i | 0.865036 | + | 0.183869i | 0.619000 | − | 0.785391i | \(-0.287538\pi\) |
0.246037 | + | 0.969260i | \(0.420872\pi\) | |||||||
\(168\) | 2.86477 | + | 2.47567i | 0.221022 | + | 0.191002i | ||||
\(169\) | 5.11934 | − | 2.27928i | 0.393795 | − | 0.175329i | ||||
\(170\) | −1.41710 | + | 4.36139i | −0.108687 | + | 0.334504i | ||||
\(171\) | 17.9367 | + | 11.9468i | 1.37165 | + | 0.913594i | ||||
\(172\) | −0.841077 | − | 1.88909i | −0.0641315 | − | 0.144042i | ||||
\(173\) | 2.49687 | + | 11.7469i | 0.189834 | + | 0.893098i | 0.965185 | + | 0.261568i | \(0.0842394\pi\) |
−0.775351 | + | 0.631530i | \(0.782427\pi\) | |||||||
\(174\) | 4.41642 | + | 9.39937i | 0.334808 | + | 0.712565i | ||||
\(175\) | −1.99701 | − | 0.889128i | −0.150960 | − | 0.0672118i | ||||
\(176\) | 2.46965 | − | 2.74282i | 0.186157 | − | 0.206748i | ||||
\(177\) | 4.11326 | − | 2.48785i | 0.309172 | − | 0.186999i | ||||
\(178\) | −1.92965 | + | 2.65594i | −0.144634 | + | 0.199071i | ||||
\(179\) | 1.99102 | + | 18.9433i | 0.148816 | + | 1.41589i | 0.772899 | + | 0.634529i | \(0.218806\pi\) |
−0.624083 | + | 0.781358i | \(0.714527\pi\) | |||||||
\(180\) | 2.14583 | − | 2.09653i | 0.159940 | − | 0.156266i | ||||
\(181\) | −10.2133 | + | 5.89665i | −0.759148 | + | 0.438294i | −0.828990 | − | 0.559264i | \(-0.811084\pi\) |
0.0698417 | + | 0.997558i | \(0.477751\pi\) | |||||||
\(182\) | −4.80964 | + | 3.49441i | −0.356514 | + | 0.259023i | ||||
\(183\) | −4.99824 | + | 26.1203i | −0.369481 | + | 1.93087i | ||||
\(184\) | −5.20938 | + | 1.69263i | −0.384041 | + | 0.124782i | ||||
\(185\) | −2.69167 | −0.197896 | ||||||||
\(186\) | −5.44833 | + | 7.95711i | −0.399491 | + | 0.583444i | ||||
\(187\) | −16.9256 | −1.23772 | ||||||||
\(188\) | 10.3554 | − | 3.36468i | 0.755247 | − | 0.245395i | ||||
\(189\) | −5.06803 | + | 10.1655i | −0.368645 | + | 0.739432i | ||||
\(190\) | 5.81173 | − | 4.22247i | 0.421628 | − | 0.306330i | ||||
\(191\) | 9.12036 | − | 5.26564i | 0.659926 | − | 0.381009i | −0.132323 | − | 0.991207i | \(-0.542243\pi\) |
0.792249 | + | 0.610198i | \(0.208910\pi\) | |||||||
\(192\) | 0.216097 | + | 1.71852i | 0.0155955 | + | 0.124023i | ||||
\(193\) | 1.50082 | + | 14.2794i | 0.108032 | + | 1.02785i | 0.905458 | + | 0.424436i | \(0.139528\pi\) |
−0.797426 | + | 0.603416i | \(0.793806\pi\) | |||||||
\(194\) | −6.47749 | + | 8.91550i | −0.465056 | + | 0.640095i | ||||
\(195\) | 2.43784 | + | 4.03057i | 0.174577 | + | 0.288635i | ||||
\(196\) | 1.48640 | − | 1.65081i | 0.106171 | − | 0.117915i | ||||
\(197\) | 12.7875 | + | 5.69337i | 0.911074 | + | 0.405636i | 0.808098 | − | 0.589048i | \(-0.200497\pi\) |
0.102975 | + | 0.994684i | \(0.467164\pi\) | |||||||
\(198\) | 9.80660 | + | 5.14110i | 0.696925 | + | 0.365362i | ||||
\(199\) | −2.32358 | − | 10.9316i | −0.164714 | − | 0.774920i | −0.980493 | − | 0.196555i | \(-0.937025\pi\) |
0.815779 | − | 0.578364i | \(-0.196309\pi\) | |||||||
\(200\) | −0.406737 | − | 0.913545i | −0.0287606 | − | 0.0645974i | ||||
\(201\) | −3.39187 | − | 9.75815i | −0.239244 | − | 0.688287i | ||||
\(202\) | 1.99274 | − | 6.13303i | 0.140209 | − | 0.431518i | ||||
\(203\) | −11.9739 | + | 5.33114i | −0.840405 | + | 0.374172i | ||||
\(204\) | 5.19351 | − | 6.00977i | 0.363619 | − | 0.420768i | ||||
\(205\) | −5.99554 | − | 1.27439i | −0.418747 | − | 0.0890073i | ||||
\(206\) | 4.39401 | − | 9.86911i | 0.306145 | − | 0.687614i | ||||
\(207\) | −8.78900 | − | 13.8844i | −0.610878 | − | 0.965035i | ||||
\(208\) | −2.70470 | − | 0.284275i | −0.187537 | − | 0.0197109i | ||||
\(209\) | 21.4501 | + | 15.5844i | 1.48374 | + | 1.07800i | ||||
\(210\) | 2.59030 | + | 2.76156i | 0.178747 | + | 0.190566i | ||||
\(211\) | 2.89490 | − | 5.01412i | 0.199293 | − | 0.345186i | −0.749006 | − | 0.662563i | \(-0.769469\pi\) |
0.948300 | + | 0.317377i | \(0.102802\pi\) | |||||||
\(212\) | 1.42018 | + | 2.45982i | 0.0975382 | + | 0.168941i | ||||
\(213\) | 19.8222 | + | 5.99709i | 1.35819 | + | 0.410914i | ||||
\(214\) | 13.5230 | + | 15.0188i | 0.924415 | + | 1.02667i | ||||
\(215\) | −0.639006 | − | 1.96666i | −0.0435798 | − | 0.134125i | ||||
\(216\) | −4.83455 | + | 1.90451i | −0.328949 | + | 0.129586i | ||||
\(217\) | −9.90045 | − | 7.07941i | −0.672086 | − | 0.480582i | ||||
\(218\) | 13.2026i | 0.894194i | ||||||||
\(219\) | −1.77961 | + | 2.55739i | −0.120255 | + | 0.172813i | ||||
\(220\) | 2.74282 | − | 2.46965i | 0.184921 | − | 0.166504i | ||||
\(221\) | 7.33064 | + | 10.0898i | 0.493112 | + | 0.678711i | ||||
\(222\) | 4.29679 | + | 1.80911i | 0.288382 | + | 0.121419i | ||||
\(223\) | 2.36191 | + | 1.36365i | 0.158165 | + | 0.0913169i | 0.576994 | − | 0.816749i | \(-0.304226\pi\) |
−0.418828 | + | 0.908065i | \(0.637559\pi\) | |||||||
\(224\) | −2.17403 | + | 0.228500i | −0.145258 | + | 0.0152673i | ||||
\(225\) | 2.35322 | − | 1.86074i | 0.156881 | − | 0.124050i | ||||
\(226\) | −1.14737 | + | 10.9165i | −0.0763221 | + | 0.726156i | ||||
\(227\) | −17.3935 | − | 15.6612i | −1.15445 | − | 1.03947i | −0.998664 | − | 0.0516759i | \(-0.983544\pi\) |
−0.155782 | − | 0.987792i | \(-0.549790\pi\) | |||||||
\(228\) | −12.1154 | + | 2.83431i | −0.802363 | + | 0.187707i | ||||
\(229\) | −1.39905 | + | 6.58202i | −0.0924519 | + | 0.434952i | 0.907439 | + | 0.420184i | \(0.138034\pi\) |
−0.999891 | + | 0.0147683i | \(0.995299\pi\) | |||||||
\(230\) | −5.35777 | + | 1.13883i | −0.353281 | + | 0.0750922i | ||||
\(231\) | −6.73929 | + | 12.2421i | −0.443413 | + | 0.805470i | ||||
\(232\) | −5.70246 | − | 1.85284i | −0.374385 | − | 0.121645i | ||||
\(233\) | 0.931250 | + | 0.302581i | 0.0610082 | + | 0.0198228i | 0.339362 | − | 0.940656i | \(-0.389789\pi\) |
−0.278354 | + | 0.960479i | \(0.589789\pi\) | |||||||
\(234\) | −1.18260 | − | 8.07262i | −0.0773087 | − | 0.527724i | ||||
\(235\) | 10.6504 | − | 2.26381i | 0.694755 | − | 0.147675i | ||||
\(236\) | −0.577035 | + | 2.71474i | −0.0375618 | + | 0.176714i | ||||
\(237\) | −4.18115 | − | 17.8725i | −0.271595 | − | 1.16095i | ||||
\(238\) | 7.44978 | + | 6.70781i | 0.482898 | + | 0.434803i | ||||
\(239\) | −1.32521 | + | 12.6086i | −0.0857209 | + | 0.815580i | 0.864212 | + | 0.503127i | \(0.167817\pi\) |
−0.949933 | + | 0.312453i | \(0.898849\pi\) | |||||||
\(240\) | 0.0352796 | + | 1.73169i | 0.00227729 | + | 0.111780i | ||||
\(241\) | −4.19226 | + | 0.440624i | −0.270047 | + | 0.0283831i | −0.238584 | − | 0.971122i | \(-0.576683\pi\) |
−0.0314630 | + | 0.999505i | \(0.510017\pi\) | |||||||
\(242\) | 2.27094 | + | 1.31113i | 0.145982 | + | 0.0842826i | ||||
\(243\) | −9.12644 | − | 12.6376i | −0.585462 | − | 0.810700i | ||||
\(244\) | −9.02495 | − | 12.4218i | −0.577763 | − | 0.795223i | ||||
\(245\) | 1.65081 | − | 1.48640i | 0.105467 | − | 0.0949625i | ||||
\(246\) | 8.71431 | + | 6.06402i | 0.555604 | + | 0.386628i | ||||
\(247\) | − | 19.5367i | − | 1.24309i | ||||||
\(248\) | −1.19872 | − | 5.43719i | −0.0761191 | − | 0.345262i | ||||
\(249\) | −1.95613 | + | 1.48301i | −0.123965 | + | 0.0939822i | ||||
\(250\) | −0.309017 | − | 0.951057i | −0.0195440 | − | 0.0601501i | ||||
\(251\) | −6.40209 | − | 7.11024i | −0.404096 | − | 0.448794i | 0.506408 | − | 0.862294i | \(-0.330973\pi\) |
−0.910504 | + | 0.413500i | \(0.864306\pi\) | |||||||
\(252\) | −2.27888 | − | 6.14933i | −0.143556 | − | 0.387371i | ||||
\(253\) | −10.1082 | − | 17.5079i | −0.635498 | − | 1.10072i | ||||
\(254\) | 7.38010 | − | 12.7827i | 0.463068 | − | 0.802058i | ||||
\(255\) | 5.79325 | − | 5.43397i | 0.362788 | − | 0.340289i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 9.79588 | + | 1.02959i | 0.611050 | + | 0.0642240i | 0.404999 | − | 0.914317i | \(-0.367272\pi\) |
0.206051 | + | 0.978541i | \(0.433939\pi\) | |||||||
\(258\) | −0.301753 | + | 3.56892i | −0.0187863 | + | 0.222191i | ||||
\(259\) | −2.39324 | + | 5.37531i | −0.148709 | + | 0.334005i | ||||
\(260\) | −2.66016 | − | 0.565435i | −0.164976 | − | 0.0350668i | ||||
\(261\) | 1.15006 | − | 17.9509i | 0.0711871 | − | 1.11114i | ||||
\(262\) | −18.2310 | + | 8.11696i | −1.12631 | + | 0.501467i | ||||
\(263\) | −4.46155 | + | 13.7312i | −0.275111 | + | 0.846704i | 0.714079 | + | 0.700065i | \(0.246846\pi\) |
−0.989190 | + | 0.146639i | \(0.953154\pi\) | |||||||
\(264\) | −6.03833 | + | 2.09889i | −0.371634 | + | 0.129177i | ||||
\(265\) | 1.15528 | + | 2.59479i | 0.0709681 | + | 0.159397i | ||||
\(266\) | −3.26496 | − | 15.3604i | −0.200188 | − | 0.941809i | ||||
\(267\) | 5.14640 | − | 2.41811i | 0.314955 | − | 0.147986i | ||||
\(268\) | 5.44885 | + | 2.42599i | 0.332842 | + | 0.148191i | ||||
\(269\) | 4.96616 | − | 5.51548i | 0.302792 | − | 0.336285i | −0.572477 | − | 0.819921i | \(-0.694017\pi\) |
0.875269 | + | 0.483636i | \(0.160684\pi\) | |||||||
\(270\) | −5.00714 | + | 1.38873i | −0.304725 | + | 0.0845155i | ||||
\(271\) | −4.36890 | + | 6.01328i | −0.265392 | + | 0.365280i | −0.920827 | − | 0.389971i | \(-0.872485\pi\) |
0.655435 | + | 0.755251i | \(0.272485\pi\) | |||||||
\(272\) | 0.479351 | + | 4.56072i | 0.0290649 | + | 0.276534i | ||||
\(273\) | 10.2167 | − | 1.28471i | 0.618340 | − | 0.0777541i | ||||
\(274\) | −4.81216 | + | 2.77830i | −0.290713 | + | 0.167843i | ||||
\(275\) | 2.98595 | − | 2.16942i | 0.180059 | − | 0.130821i | ||||
\(276\) | 9.31819 | + | 1.78308i | 0.560889 | + | 0.107329i | ||||
\(277\) | −19.3130 | + | 6.27518i | −1.16041 | + | 0.377039i | −0.825054 | − | 0.565054i | \(-0.808855\pi\) |
−0.335352 | + | 0.942093i | \(0.608855\pi\) | |||||||
\(278\) | 5.27384 | 0.316304 | ||||||||
\(279\) | 14.9134 | − | 7.52261i | 0.892844 | − | 0.450367i | ||||
\(280\) | −2.18600 | −0.130639 | ||||||||
\(281\) | 24.9934 | − | 8.12085i | 1.49098 | − | 0.484449i | 0.553609 | − | 0.832777i | \(-0.313250\pi\) |
0.937373 | + | 0.348327i | \(0.113250\pi\) | |||||||
\(282\) | −18.5231 | − | 3.54448i | −1.10303 | − | 0.211071i | ||||
\(283\) | 0.177341 | − | 0.128846i | 0.0105418 | − | 0.00765908i | −0.582502 | − | 0.812829i | \(-0.697926\pi\) |
0.593044 | + | 0.805170i | \(0.297926\pi\) | |||||||
\(284\) | −10.3548 | + | 5.97832i | −0.614442 | + | 0.354748i | ||||
\(285\) | −12.3453 | + | 1.55238i | −0.731273 | + | 0.0919550i | ||||
\(286\) | −1.04921 | − | 9.98258i | −0.0620412 | − | 0.590282i | ||||
\(287\) | −7.87578 | + | 10.8401i | −0.464892 | + | 0.639869i | ||||
\(288\) | 1.10757 | − | 2.78806i | 0.0652644 | − | 0.164288i | ||||
\(289\) | 2.69656 | − | 2.99483i | 0.158621 | − | 0.176167i | ||||
\(290\) | −5.47754 | − | 2.43876i | −0.321652 | − | 0.143209i | ||||
\(291\) | 17.2755 | − | 8.11714i | 1.01271 | − | 0.475835i | ||||
\(292\) | −0.373996 | − | 1.75951i | −0.0218865 | − | 0.102968i | ||||
\(293\) | −2.36345 | − | 5.30840i | −0.138074 | − | 0.310120i | 0.831253 | − | 0.555895i | \(-0.187624\pi\) |
−0.969327 | + | 0.245775i | \(0.920958\pi\) | |||||||
\(294\) | −3.63427 | + | 1.26325i | −0.211955 | + | 0.0736741i | ||||
\(295\) | −0.857642 | + | 2.63955i | −0.0499338 | + | 0.153681i | ||||
\(296\) | −2.45897 | + | 1.09480i | −0.142925 | + | 0.0636341i | ||||
\(297\) | −10.5855 | − | 15.9921i | −0.614233 | − | 0.927957i | ||||
\(298\) | 14.0479 | + | 2.98598i | 0.813775 | + | 0.172973i | ||||
\(299\) | −6.05895 | + | 13.6086i | −0.350398 | + | 0.787007i | ||||
\(300\) | −0.145925 | + | 1.72589i | −0.00842496 | + | 0.0996445i | ||||
\(301\) | −4.49560 | − | 0.472507i | −0.259122 | − | 0.0272348i | ||||
\(302\) | 19.1565 | + | 13.9180i | 1.10233 | + | 0.800891i | ||||
\(303\) | −8.14652 | + | 7.64130i | −0.468005 | + | 0.438981i | ||||
\(304\) | 3.59185 | − | 6.22127i | 0.206007 | − | 0.356814i | ||||
\(305\) | −7.67708 | − | 13.2971i | −0.439588 | − | 0.761390i | ||||
\(306\) | −12.9002 | + | 4.78069i | −0.737454 | + | 0.273294i | ||||
\(307\) | 17.0895 | + | 18.9798i | 0.975349 | + | 1.08323i | 0.996511 | + | 0.0834589i | \(0.0265967\pi\) |
−0.0211621 | + | 0.999776i | \(0.506737\pi\) | |||||||
\(308\) | −2.49320 | − | 7.67329i | −0.142063 | − | 0.437226i | ||||
\(309\) | −14.9108 | + | 11.3044i | −0.848244 | + | 0.643085i | ||||
\(310\) | −0.623816 | − | 5.53271i | −0.0354304 | − | 0.314237i | ||||
\(311\) | 10.2077i | 0.578825i | 0.957204 | + | 0.289413i | \(0.0934600\pi\) | ||||
−0.957204 | + | 0.289413i | \(0.906540\pi\) | |||||||
\(312\) | 3.86646 | + | 2.69055i | 0.218895 | + | 0.152322i | ||||
\(313\) | 16.9992 | − | 15.3061i | 0.960849 | − | 0.865153i | −0.0300785 | − | 0.999548i | \(-0.509576\pi\) |
0.990928 | + | 0.134395i | \(0.0429091\pi\) | |||||||
\(314\) | −6.09277 | − | 8.38598i | −0.343835 | − | 0.473248i | ||||
\(315\) | −1.62362 | − | 6.35385i | −0.0914806 | − | 0.357999i | ||||
\(316\) | 9.17755 | + | 5.29866i | 0.516278 | + | 0.298073i | ||||
\(317\) | 13.6421 | − | 1.43384i | 0.766214 | − | 0.0805324i | 0.286646 | − | 0.958037i | \(-0.407460\pi\) |
0.479569 | + | 0.877504i | \(0.340793\pi\) | |||||||
\(318\) | −0.100207 | − | 4.91862i | −0.00561932 | − | 0.275822i | ||||
\(319\) | 2.31321 | − | 22.0087i | 0.129515 | − | 1.23225i | ||||
\(320\) | −0.743145 | − | 0.669131i | −0.0415431 | − | 0.0374055i | ||||
\(321\) | −7.97374 | − | 34.0842i | −0.445051 | − | 1.90239i | ||||
\(322\) | −2.48949 | + | 11.7121i | −0.138734 | + | 0.652691i | ||||
\(323\) | −32.2234 | + | 6.84930i | −1.79296 | + | 0.381105i | ||||
\(324\) | 8.92642 | + | 1.14849i | 0.495912 | + | 0.0638051i | ||||
\(325\) | −2.58649 | − | 0.840401i | −0.143472 | − | 0.0466170i | ||||
\(326\) | 8.46708 | + | 2.75112i | 0.468948 | + | 0.152370i | ||||
\(327\) | 11.0281 | − | 20.0327i | 0.609853 | − | 1.10781i | ||||
\(328\) | −5.99554 | + | 1.27439i | −0.331048 | + | 0.0703665i | ||||
\(329\) | 4.94870 | − | 23.2818i | 0.272831 | − | 1.28357i | ||||
\(330\) | −6.22465 | + | 1.45621i | −0.342656 | + | 0.0801617i | ||||
\(331\) | −11.6143 | − | 10.4576i | −0.638382 | − | 0.574802i | 0.285074 | − | 0.958506i | \(-0.407982\pi\) |
−0.923456 | + | 0.383703i | \(0.874648\pi\) | |||||||
\(332\) | 0.148143 | − | 1.40948i | 0.00813039 | − | 0.0773555i | ||||
\(333\) | −5.00852 | − | 6.33409i | −0.274465 | − | 0.347106i | ||||
\(334\) | 11.3659 | − | 1.19460i | 0.621913 | − | 0.0653656i | ||||
\(335\) | 5.16542 | + | 2.98226i | 0.282217 | + | 0.162938i | ||||
\(336\) | 3.48958 | + | 1.46924i | 0.190372 | + | 0.0801537i | ||||
\(337\) | 15.4268 | + | 21.2331i | 0.840351 | + | 1.15664i | 0.985907 | + | 0.167293i | \(0.0535027\pi\) |
−0.145557 | + | 0.989350i | \(0.546497\pi\) | |||||||
\(338\) | 4.16444 | − | 3.74968i | 0.226516 | − | 0.203956i | ||||
\(339\) | 10.8594 | − | 15.6056i | 0.589804 | − | 0.847578i | ||||
\(340\) | 4.58584i | 0.248702i | ||||||||
\(341\) | 18.7094 | − | 8.49994i | 1.01317 | − | 0.460297i | ||||
\(342\) | 20.7505 | + | 5.81934i | 1.12206 | + | 0.314674i | ||||
\(343\) | −6.22916 | − | 19.1714i | −0.336343 | − | 1.03516i | ||||
\(344\) | −1.38367 | − | 1.53672i | −0.0746026 | − | 0.0828546i | ||||
\(345\) | 9.08076 | + | 2.74733i | 0.488892 | + | 0.147911i | ||||
\(346\) | 6.00465 | + | 10.4004i | 0.322812 | + | 0.559127i | ||||
\(347\) | 1.43457 | − | 2.48476i | 0.0770120 | − | 0.133389i | −0.824947 | − | 0.565209i | \(-0.808795\pi\) |
0.901959 | + | 0.431821i | \(0.142129\pi\) | |||||||
\(348\) | 7.10483 | + | 7.57459i | 0.380859 | + | 0.406040i | ||||
\(349\) | −22.0255 | − | 16.0025i | −1.17900 | − | 0.856593i | −0.186941 | − | 0.982371i | \(-0.559857\pi\) |
−0.992058 | + | 0.125778i | \(0.959857\pi\) | |||||||
\(350\) | −2.17403 | − | 0.228500i | −0.116207 | − | 0.0122138i | ||||
\(351\) | −4.94861 | + | 13.2366i | −0.264137 | + | 0.706519i | ||||
\(352\) | 1.50120 | − | 3.37174i | 0.0800141 | − | 0.179715i | ||||
\(353\) | 2.56334 | + | 0.544856i | 0.136433 | + | 0.0289997i | 0.275622 | − | 0.961266i | \(-0.411116\pi\) |
−0.139189 | + | 0.990266i | \(0.544450\pi\) | |||||||
\(354\) | 3.14315 | − | 3.63716i | 0.167057 | − | 0.193313i | ||||
\(355\) | −10.9229 | + | 4.86321i | −0.579729 | + | 0.258112i | ||||
\(356\) | −1.01448 | + | 3.12224i | −0.0537673 | + | 0.165479i | ||||
\(357\) | −5.70078 | − | 16.4007i | −0.301717 | − | 0.868017i | ||||
\(358\) | 7.74737 | + | 17.4009i | 0.409461 | + | 0.919665i | ||||
\(359\) | −7.14471 | − | 33.6132i | −0.377084 | − | 1.77404i | −0.600815 | − | 0.799388i | \(-0.705157\pi\) |
0.223732 | − | 0.974651i | \(-0.428176\pi\) | |||||||
\(360\) | 1.39294 | − | 2.65701i | 0.0734143 | − | 0.140037i | ||||
\(361\) | 29.7866 | + | 13.2619i | 1.56772 | + | 0.697993i | ||||
\(362\) | −7.89125 | + | 8.76413i | −0.414755 | + | 0.460632i | ||||
\(363\) | −2.35059 | − | 3.88632i | −0.123374 | − | 0.203979i | ||||
\(364\) | −3.49441 | + | 4.80964i | −0.183157 | + | 0.252094i | ||||
\(365\) | −0.188028 | − | 1.78897i | −0.00984183 | − | 0.0936388i | ||||
\(366\) | 3.31800 | + | 26.3864i | 0.173434 | + | 1.37924i | ||||
\(367\) | 10.5384 | − | 6.08435i | 0.550100 | − | 0.317601i | −0.199062 | − | 0.979987i | \(-0.563790\pi\) |
0.749162 | + | 0.662386i | \(0.230456\pi\) | |||||||
\(368\) | −4.43137 | + | 3.21958i | −0.231001 | + | 0.167832i | ||||
\(369\) | −8.15724 | − | 16.4801i | −0.424649 | − | 0.857921i | ||||
\(370\) | −2.55993 | + | 0.831773i | −0.133085 | + | 0.0432418i | ||||
\(371\) | 6.20903 | 0.322357 | ||||||||
\(372\) | −2.72279 | + | 9.25129i | −0.141170 | + | 0.479657i | ||||
\(373\) | −21.1831 | −1.09682 | −0.548411 | − | 0.836209i | \(-0.684767\pi\) | ||||
−0.548411 | + | 0.836209i | \(0.684767\pi\) | |||||||
\(374\) | −16.0972 | + | 5.23029i | −0.832366 | + | 0.270452i | ||||
\(375\) | −0.325530 | + | 1.70118i | −0.0168103 | + | 0.0878488i | ||||
\(376\) | 8.80885 | − | 6.40000i | 0.454282 | − | 0.330055i | ||||
\(377\) | −14.1218 | + | 8.15323i | −0.727310 | + | 0.419913i | ||||
\(378\) | −1.67867 | + | 11.2341i | −0.0863415 | + | 0.577819i | ||||
\(379\) | −0.363458 | − | 3.45807i | −0.0186696 | − | 0.177629i | 0.981213 | − | 0.192925i | \(-0.0617976\pi\) |
−0.999883 | + | 0.0152962i | \(0.995131\pi\) | |||||||
\(380\) | 4.22247 | − | 5.81173i | 0.216608 | − | 0.298136i | ||||
\(381\) | −21.8753 | + | 13.2310i | −1.12071 | + | 0.677846i | ||||
\(382\) | 7.04681 | − | 7.82627i | 0.360546 | − | 0.400427i | ||||
\(383\) | −3.33636 | − | 1.48544i | −0.170480 | − | 0.0759026i | 0.319722 | − | 0.947511i | \(-0.396410\pi\) |
−0.490202 | + | 0.871609i | \(0.663077\pi\) | |||||||
\(384\) | 0.736572 | + | 1.56763i | 0.0375880 | + | 0.0799978i | ||||
\(385\) | −1.67747 | − | 7.89187i | −0.0854917 | − | 0.402207i | ||||
\(386\) | 5.83994 | + | 13.1167i | 0.297245 | + | 0.667623i | ||||
\(387\) | 3.43895 | − | 5.16317i | 0.174812 | − | 0.262459i | ||||
\(388\) | −3.40542 | + | 10.4808i | −0.172884 | + | 0.532082i | ||||
\(389\) | −26.6684 | + | 11.8736i | −1.35214 | + | 0.602013i | −0.949622 | − | 0.313397i | \(-0.898533\pi\) |
−0.402522 | + | 0.915411i | \(0.631866\pi\) | |||||||
\(390\) | 3.56404 | + | 3.07997i | 0.180472 | + | 0.155960i | ||||
\(391\) | 24.5699 | + | 5.22249i | 1.24255 | + | 0.264113i | ||||
\(392\) | 0.903519 | − | 2.02934i | 0.0456346 | − | 0.102497i | ||||
\(393\) | 34.4424 | + | 2.91212i | 1.73739 | + | 0.146897i | ||||
\(394\) | 13.9210 | + | 1.46316i | 0.701330 | + | 0.0737128i | ||||
\(395\) | 8.57341 | + | 6.22895i | 0.431375 | + | 0.313412i | ||||
\(396\) | 10.9153 | + | 1.85908i | 0.548515 | + | 0.0934221i | ||||
\(397\) | −4.66581 | + | 8.08142i | −0.234170 | + | 0.405595i | −0.959031 | − | 0.283300i | \(-0.908571\pi\) |
0.724861 | + | 0.688895i | \(0.241904\pi\) | |||||||
\(398\) | −5.58790 | − | 9.67853i | −0.280096 | − | 0.485141i | ||||
\(399\) | −7.87644 | + | 26.0340i | −0.394315 | + | 1.30333i | ||||
\(400\) | −0.669131 | − | 0.743145i | −0.0334565 | − | 0.0371572i | ||||
\(401\) | −9.34516 | − | 28.7614i | −0.466675 | − | 1.43628i | −0.856864 | − | 0.515543i | \(-0.827590\pi\) |
0.390189 | − | 0.920735i | \(-0.372410\pi\) | |||||||
\(402\) | −6.24129 | − | 8.23240i | −0.311287 | − | 0.410595i | ||||
\(403\) | −13.1702 | − | 7.47172i | −0.656056 | − | 0.372193i | ||||
\(404\) | − | 6.44865i | − | 0.320832i | ||||||
\(405\) | 8.75747 | + | 2.07526i | 0.435162 | + | 0.103121i | ||||
\(406\) | −9.74047 | + | 8.77036i | −0.483411 | + | 0.435266i | ||||
\(407\) | −5.83937 | − | 8.03720i | −0.289447 | − | 0.398389i | ||||
\(408\) | 3.08220 | − | 7.32051i | 0.152592 | − | 0.362419i | ||||
\(409\) | 12.4271 | + | 7.17477i | 0.614479 | + | 0.354769i | 0.774716 | − | 0.632309i | \(-0.217893\pi\) |
−0.160238 | + | 0.987078i | \(0.551226\pi\) | |||||||
\(410\) | −6.09590 | + | 0.640705i | −0.301055 | + | 0.0316422i | ||||
\(411\) | 9.62232 | − | 0.196035i | 0.474634 | − | 0.00966969i | ||||
\(412\) | 1.12923 | − | 10.7439i | 0.0556332 | − | 0.529314i | ||||
\(413\) | 4.50867 | + | 4.05962i | 0.221857 | + | 0.199761i | ||||
\(414\) | −12.6494 | − | 10.4889i | −0.621682 | − | 0.515503i | ||||
\(415\) | 0.294662 | − | 1.38628i | 0.0144644 | − | 0.0680497i | ||||
\(416\) | −2.66016 | + | 0.565435i | −0.130425 | + | 0.0277227i | ||||
\(417\) | −8.00215 | − | 4.40520i | −0.391867 | − | 0.215724i | ||||
\(418\) | 25.2162 | + | 8.19323i | 1.23336 | + | 0.400744i | ||||
\(419\) | 0.514090 | + | 0.167038i | 0.0251149 | + | 0.00816033i | 0.321548 | − | 0.946893i | \(-0.395797\pi\) |
−0.296433 | + | 0.955054i | \(0.595797\pi\) | |||||||
\(420\) | 3.31689 | + | 1.82595i | 0.161847 | + | 0.0890974i | ||||
\(421\) | −17.5901 | + | 3.73890i | −0.857290 | + | 0.182223i | −0.615530 | − | 0.788113i | \(-0.711058\pi\) |
−0.241760 | + | 0.970336i | \(0.577725\pi\) | |||||||
\(422\) | 1.20377 | − | 5.66329i | 0.0585985 | − | 0.275684i | ||||
\(423\) | 25.1449 | + | 20.8503i | 1.22259 | + | 1.01378i | ||||
\(424\) | 2.11080 | + | 1.90057i | 0.102509 | + | 0.0922998i | ||||
\(425\) | −0.479351 | + | 4.56072i | −0.0232519 | + | 0.221227i | ||||
\(426\) | 20.7052 | − | 0.421826i | 1.00317 | − | 0.0204376i | ||||
\(427\) | −33.3804 | + | 3.50842i | −1.61539 | + | 0.169784i | ||||
\(428\) | 17.5022 | + | 10.1049i | 0.846002 | + | 0.488440i | ||||
\(429\) | −6.74638 | + | 16.0233i | −0.325718 | + | 0.773610i | ||||
\(430\) | −1.21546 | − | 1.67294i | −0.0586148 | − | 0.0806763i | ||||
\(431\) | −15.0404 | + | 13.5425i | −0.724472 | + | 0.652317i | −0.946493 | − | 0.322725i | \(-0.895401\pi\) |
0.222021 | + | 0.975042i | \(0.428735\pi\) | |||||||
\(432\) | −4.00940 | + | 3.30526i | −0.192902 | + | 0.159024i | ||||
\(433\) | 33.0377i | 1.58769i | 0.608120 | + | 0.793845i | \(0.291924\pi\) | ||||
−0.608120 | + | 0.793845i | \(0.708076\pi\) | |||||||
\(434\) | −11.6035 | − | 3.67352i | −0.556988 | − | 0.176334i | ||||
\(435\) | 6.27415 | + | 8.27575i | 0.300823 | + | 0.396792i | ||||
\(436\) | 4.07983 | + | 12.5564i | 0.195389 | + | 0.601344i | ||||
\(437\) | −26.3293 | − | 29.2416i | −1.25950 | − | 1.39882i | ||||
\(438\) | −0.902233 | + | 2.98215i | −0.0431104 | + | 0.142493i | ||||
\(439\) | 0.0919831 | + | 0.159319i | 0.00439011 | + | 0.00760390i | 0.868212 | − | 0.496193i | \(-0.165269\pi\) |
−0.863822 | + | 0.503797i | \(0.831936\pi\) | |||||||
\(440\) | 1.84542 | − | 3.19636i | 0.0879768 | − | 0.152380i | ||||
\(441\) | 6.56956 | + | 1.11891i | 0.312836 | + | 0.0532816i | ||||
\(442\) | 10.0898 | + | 7.33064i | 0.479921 | + | 0.348683i | ||||
\(443\) | −17.6901 | − | 1.85930i | −0.840481 | − | 0.0883381i | −0.325502 | − | 0.945541i | \(-0.605533\pi\) |
−0.514979 | + | 0.857203i | \(0.672200\pi\) | |||||||
\(444\) | 4.64554 | + | 0.392782i | 0.220468 | + | 0.0186406i | ||||
\(445\) | −1.33528 | + | 2.99910i | −0.0632986 | + | 0.142171i | ||||
\(446\) | 2.66771 | + | 0.567038i | 0.126320 | + | 0.0268500i | ||||
\(447\) | −18.8212 | − | 16.2649i | −0.890211 | − | 0.769301i | ||||
\(448\) | −1.99701 | + | 0.889128i | −0.0943500 | + | 0.0420073i | ||||
\(449\) | −3.59150 | + | 11.0535i | −0.169493 | + | 0.521646i | −0.999339 | − | 0.0363460i | \(-0.988428\pi\) |
0.829846 | + | 0.557992i | \(0.188428\pi\) | |||||||
\(450\) | 1.66304 | − | 2.49686i | 0.0783965 | − | 0.117703i | ||||
\(451\) | −9.20156 | − | 20.6670i | −0.433285 | − | 0.973173i | ||||
\(452\) | 2.28218 | + | 10.7368i | 0.107344 | + | 0.505016i | ||||
\(453\) | −17.4411 | − | 37.1194i | −0.819453 | − | 1.74402i | ||||
\(454\) | −21.3817 | − | 9.51976i | −1.00349 | − | 0.446785i | ||||
\(455\) | −3.97801 | + | 4.41803i | −0.186492 | + | 0.207120i | ||||
\(456\) | −10.6466 | + | 6.43946i | −0.498572 | + | 0.301555i | ||||
\(457\) | 10.4017 | − | 14.3168i | 0.486573 | − | 0.669710i | −0.493178 | − | 0.869928i | \(-0.664165\pi\) |
0.979751 | + | 0.200218i | \(0.0641650\pi\) | |||||||
\(458\) | 0.703379 | + | 6.69220i | 0.0328667 | + | 0.312706i | ||||
\(459\) | 23.5671 | + | 3.52155i | 1.10002 | + | 0.164372i | ||||
\(460\) | −4.74363 | + | 2.73874i | −0.221173 | + | 0.127694i | ||||
\(461\) | −30.0510 | + | 21.8334i | −1.39962 | + | 1.01688i | −0.404885 | + | 0.914368i | \(0.632688\pi\) |
−0.994732 | + | 0.102513i | \(0.967312\pi\) | |||||||
\(462\) | −2.62644 | + | 13.7255i | −0.122193 | + | 0.638566i | ||||
\(463\) | 7.50915 | − | 2.43987i | 0.348980 | − | 0.113390i | −0.129282 | − | 0.991608i | \(-0.541267\pi\) |
0.478261 | + | 0.878217i | \(0.341267\pi\) | |||||||
\(464\) | −5.99592 | −0.278353 | ||||||||
\(465\) | −3.67490 | + | 8.91600i | −0.170419 | + | 0.413470i | ||||
\(466\) | 0.979174 | 0.0453594 | ||||||||
\(467\) | 33.9339 | − | 11.0258i | 1.57027 | − | 0.510212i | 0.610744 | − | 0.791828i | \(-0.290870\pi\) |
0.959527 | + | 0.281616i | \(0.0908704\pi\) | |||||||
\(468\) | −3.61929 | − | 7.31207i | −0.167302 | − | 0.338001i | ||||
\(469\) | 10.5483 | − | 7.66381i | 0.487076 | − | 0.353882i | ||||
\(470\) | 9.42958 | − | 5.44417i | 0.434954 | − | 0.251121i | ||||
\(471\) | 2.23999 | + | 17.8135i | 0.103213 | + | 0.820805i | ||||
\(472\) | 0.290107 | + | 2.76018i | 0.0133533 | + | 0.127048i | ||||
\(473\) | 4.48607 | − | 6.17454i | 0.206270 | − | 0.283906i | ||||
\(474\) | −9.49943 | − | 15.7058i | −0.436323 | − | 0.721389i | ||||
\(475\) | 4.80683 | − | 5.33853i | 0.220553 | − | 0.244948i | ||||
\(476\) | 9.15799 | + | 4.07740i | 0.419756 | + | 0.186887i | ||||
\(477\) | −3.95644 | + | 7.54686i | −0.181153 | + | 0.345547i | ||||
\(478\) | 2.63591 | + | 12.4010i | 0.120564 | + | 0.567207i | ||||
\(479\) | 8.71390 | + | 19.5717i | 0.398148 | + | 0.894256i | 0.995718 | + | 0.0924392i | \(0.0294664\pi\) |
−0.597570 | + | 0.801817i | \(0.703867\pi\) | |||||||
\(480\) | 0.568675 | + | 1.63603i | 0.0259563 | + | 0.0746744i | ||||
\(481\) | −2.26208 | + | 6.96198i | −0.103142 | + | 0.317439i | ||||
\(482\) | −3.85092 | + | 1.71454i | −0.175404 | + | 0.0780951i | ||||
\(483\) | 13.5604 | − | 15.6917i | 0.617020 | − | 0.713996i | ||||
\(484\) | 2.56496 | + | 0.545198i | 0.116589 | + | 0.0247817i | ||||
\(485\) | −4.48230 | + | 10.0674i | −0.203531 | + | 0.457138i | ||||
\(486\) | −12.5850 | − | 9.19881i | −0.570867 | − | 0.417267i | ||||
\(487\) | 34.2088 | + | 3.59549i | 1.55015 | + | 0.162927i | 0.840572 | − | 0.541700i | \(-0.182219\pi\) |
0.709577 | + | 0.704628i | \(0.248886\pi\) | |||||||
\(488\) | −12.4218 | − | 9.02495i | −0.562308 | − | 0.408540i | ||||
\(489\) | −10.5493 | − | 11.2468i | −0.477058 | − | 0.508600i | ||||
\(490\) | 1.11069 | − | 1.92378i | 0.0501760 | − | 0.0869074i | ||||
\(491\) | 1.67715 | + | 2.90492i | 0.0756889 | + | 0.131097i | 0.901386 | − | 0.433017i | \(-0.142551\pi\) |
−0.825697 | + | 0.564114i | \(0.809218\pi\) | |||||||
\(492\) | 10.1617 | + | 3.07436i | 0.458124 | + | 0.138603i | ||||
\(493\) | 18.3986 | + | 20.4337i | 0.828633 | + | 0.920290i | ||||
\(494\) | −6.03719 | − | 18.5805i | −0.271626 | − | 0.835978i | ||||
\(495\) | 10.6612 | + | 2.98985i | 0.479185 | + | 0.134384i | ||||
\(496\) | −2.82024 | − | 4.80065i | −0.126632 | − | 0.215556i | ||||
\(497\) | 26.1373i | 1.17242i | ||||||||
\(498\) | −1.40211 | + | 2.01491i | −0.0628302 | + | 0.0902902i | ||||
\(499\) | −18.4916 | + | 16.6499i | −0.827799 | + | 0.745354i | −0.969640 | − | 0.244535i | \(-0.921365\pi\) |
0.141841 | + | 0.989889i | \(0.454698\pi\) | |||||||
\(500\) | −0.587785 | − | 0.809017i | −0.0262866 | − | 0.0361803i | ||||
\(501\) | −18.2436 | − | 7.68122i | −0.815064 | − | 0.343172i | ||||
\(502\) | −8.28593 | − | 4.78389i | −0.369819 | − | 0.213515i | ||||
\(503\) | 37.9553 | − | 3.98926i | 1.69234 | − | 0.177872i | 0.791248 | − | 0.611495i | \(-0.209432\pi\) |
0.901095 | + | 0.433623i | \(0.142765\pi\) | |||||||
\(504\) | −4.06759 | − | 5.14414i | −0.181185 | − | 0.229138i | ||||
\(505\) | 0.674067 | − | 6.41332i | 0.0299956 | − | 0.285389i | ||||
\(506\) | −15.0237 | − | 13.5274i | −0.667887 | − | 0.601368i | ||||
\(507\) | −9.45091 | + | 2.21097i | −0.419730 | + | 0.0981926i | ||||
\(508\) | 3.06882 | − | 14.4376i | 0.136157 | − | 0.640567i | ||||
\(509\) | 8.18192 | − | 1.73912i | 0.362657 | − | 0.0770852i | −0.0229793 | − | 0.999736i | \(-0.507315\pi\) |
0.385637 | + | 0.922651i | \(0.373982\pi\) | |||||||
\(510\) | 3.83052 | − | 6.95823i | 0.169618 | − | 0.308116i | ||||
\(511\) | −3.73977 | − | 1.21513i | −0.165438 | − | 0.0537540i | ||||
\(512\) | −0.951057 | − | 0.309017i | −0.0420312 | − | 0.0136568i | ||||
\(513\) | −26.6245 | − | 26.1626i | −1.17550 | − | 1.15511i | ||||
\(514\) | 9.63460 | − | 2.04790i | 0.424964 | − | 0.0903289i | ||||
\(515\) | 2.24609 | − | 10.5670i | 0.0989745 | − | 0.465638i | ||||
\(516\) | 0.815872 | + | 3.48749i | 0.0359168 | + | 0.153528i | ||||
\(517\) | 29.8648 | + | 26.8904i | 1.31345 | + | 1.18264i | ||||
\(518\) | −0.615046 | + | 5.85178i | −0.0270236 | + | 0.257112i | ||||
\(519\) | −0.423684 | − | 20.7964i | −0.0185977 | − | 0.912860i | ||||
\(520\) | −2.70470 | + | 0.284275i | −0.118609 | + | 0.0124663i | ||||
\(521\) | −19.5869 | − | 11.3085i | −0.858119 | − | 0.495435i | 0.00526273 | − | 0.999986i | \(-0.498325\pi\) |
−0.863382 | + | 0.504551i | \(0.831658\pi\) | |||||||
\(522\) | −4.45337 | − | 17.4278i | −0.194919 | − | 0.762792i | ||||
\(523\) | −20.9331 | − | 28.8119i | −0.915339 | − | 1.25986i | −0.965310 | − | 0.261105i | \(-0.915913\pi\) |
0.0499715 | − | 0.998751i | \(-0.484087\pi\) | |||||||
\(524\) | −14.8304 | + | 13.3534i | −0.647870 | + | 0.583345i | ||||
\(525\) | 3.10785 | + | 2.16266i | 0.135638 | + | 0.0943862i | ||||
\(526\) | 14.4379i | 0.629521i | ||||||||
\(527\) | −7.70637 | + | 24.3421i | −0.335695 | + | 1.06036i | ||||
\(528\) | −5.09420 | + | 3.86211i | −0.221697 | + | 0.168077i | ||||
\(529\) | 2.16395 | + | 6.65994i | 0.0940846 | + | 0.289563i | ||||
\(530\) | 1.90057 | + | 2.11080i | 0.0825554 | + | 0.0916871i | ||||
\(531\) | −7.80729 | + | 2.89331i | −0.338807 | + | 0.125559i | ||||
\(532\) | −7.85180 | − | 13.5997i | −0.340419 | − | 0.589622i | ||||
\(533\) | −8.33485 | + | 14.4364i | −0.361022 | + | 0.625309i | ||||
\(534\) | 4.14729 | − | 3.89008i | 0.179471 | − | 0.168340i | ||||
\(535\) | 16.3501 | + | 11.8790i | 0.706877 | + | 0.513576i | ||||
\(536\) | 5.93184 | + | 0.623461i | 0.256216 | + | 0.0269294i | ||||
\(537\) | 2.77952 | − | 32.8742i | 0.119945 | − | 1.41862i | ||||
\(538\) | 3.01872 | − | 6.78016i | 0.130146 | − | 0.292313i | ||||
\(539\) | 8.01961 | + | 1.70462i | 0.345429 | + | 0.0734232i | ||||
\(540\) | −4.33293 | + | 2.86805i | −0.186460 | + | 0.123421i | ||||
\(541\) | −32.6644 | + | 14.5431i | −1.40435 | + | 0.625257i | −0.962364 | − | 0.271764i | \(-0.912393\pi\) |
−0.441987 | + | 0.897022i | \(0.645726\pi\) | |||||||
\(542\) | −2.29687 | + | 7.06903i | −0.0986589 | + | 0.303641i | ||||
\(543\) | 19.2942 | − | 6.70655i | 0.827995 | − | 0.287806i | ||||
\(544\) | 1.86523 | + | 4.18937i | 0.0799711 | + | 0.179618i | ||||
\(545\) | 2.74498 | + | 12.9141i | 0.117582 | + | 0.553180i | ||||
\(546\) | 9.31962 | − | 4.37895i | 0.398843 | − | 0.187402i | ||||
\(547\) | −24.3829 | − | 10.8560i | −1.04254 | − | 0.464167i | −0.187244 | − | 0.982313i | \(-0.559956\pi\) |
−0.855292 | + | 0.518146i | \(0.826622\pi\) | |||||||
\(548\) | −3.71809 | + | 4.12936i | −0.158829 | + | 0.176397i | ||||
\(549\) | 17.0059 | − | 42.8083i | 0.725793 | − | 1.82702i | ||||
\(550\) | 2.16942 | − | 2.98595i | 0.0925043 | − | 0.127321i | ||||
\(551\) | −4.50234 | − | 42.8369i | −0.191806 | − | 1.82491i | ||||
\(552\) | 9.41313 | − | 1.18367i | 0.400649 | − | 0.0503802i | ||||
\(553\) | 20.0622 | − | 11.5829i | 0.853130 | − | 0.492555i | ||||
\(554\) | −16.4286 | + | 11.9361i | −0.697986 | + | 0.507116i | ||||
\(555\) | 4.57903 | + | 0.876221i | 0.194369 | + | 0.0371935i | ||||
\(556\) | 5.01572 | − | 1.62971i | 0.212714 | − | 0.0691150i | ||||
\(557\) | −4.47753 | −0.189719 | −0.0948595 | − | 0.995491i | \(-0.530240\pi\) | ||||
−0.0948595 | + | 0.995491i | \(0.530240\pi\) | |||||||
\(558\) | 11.8589 | − | 11.7629i | 0.502027 | − | 0.497964i | ||||
\(559\) | −5.62376 | −0.237860 | ||||||||
\(560\) | −2.07901 | + | 0.675512i | −0.0878543 | + | 0.0285456i | ||||
\(561\) | 28.7935 | + | 5.50979i | 1.21566 | + | 0.232623i | ||||
\(562\) | 21.2607 | − | 15.4468i | 0.896827 | − | 0.651583i | ||||
\(563\) | −1.56813 | + | 0.905361i | −0.0660889 | + | 0.0381564i | −0.532680 | − | 0.846317i | \(-0.678815\pi\) |
0.466591 | + | 0.884473i | \(0.345482\pi\) | |||||||
\(564\) | −18.7118 | + | 2.35294i | −0.787909 | + | 0.0990767i | ||||
\(565\) | 1.14737 | + | 10.9165i | 0.0482703 | + | 0.459262i | ||||
\(566\) | 0.128846 | − | 0.177341i | 0.00541579 | − | 0.00745420i | ||||
\(567\) | 11.9308 | − | 15.6436i | 0.501048 | − | 0.656970i | ||||
\(568\) | −8.00056 | + | 8.88552i | −0.335696 | + | 0.372828i | ||||
\(569\) | 38.3816 | + | 17.0886i | 1.60904 | + | 0.716391i | 0.997214 | − | 0.0746005i | \(-0.0237681\pi\) |
0.611827 | + | 0.790992i | \(0.290435\pi\) | |||||||
\(570\) | −11.2614 | + | 5.29131i | −0.471687 | + | 0.221629i | ||||
\(571\) | 6.36279 | + | 29.9346i | 0.266274 | + | 1.25272i | 0.884432 | + | 0.466668i | \(0.154546\pi\) |
−0.618158 | + | 0.786054i | \(0.712121\pi\) | |||||||
\(572\) | −4.08265 | − | 9.16978i | −0.170704 | − | 0.383408i | ||||
\(573\) | −17.2295 | + | 5.98888i | −0.719775 | + | 0.250189i | ||||
\(574\) | −4.14054 | + | 12.7433i | −0.172823 | + | 0.531894i | ||||
\(575\) | −5.00392 | + | 2.22789i | −0.208678 | + | 0.0929093i | ||||
\(576\) | 0.191808 | − | 2.99386i | 0.00799198 | − | 0.124744i | ||||
\(577\) | −26.5441 | − | 5.64213i | −1.10505 | − | 0.234885i | −0.380958 | − | 0.924592i | \(-0.624406\pi\) |
−0.724088 | + | 0.689707i | \(0.757739\pi\) | |||||||
\(578\) | 1.63913 | − | 3.68154i | 0.0681786 | − | 0.153132i | ||||
\(579\) | 2.09519 | − | 24.7804i | 0.0870732 | − | 1.02984i | ||||
\(580\) | −5.96307 | − | 0.626744i | −0.247603 | − | 0.0260241i | ||||
\(581\) | −2.50642 | − | 1.82102i | −0.103984 | − | 0.0755487i | ||||
\(582\) | 13.9217 | − | 13.0583i | 0.577072 | − | 0.541283i | ||||
\(583\) | −5.24164 | + | 9.07879i | −0.217087 | + | 0.376005i | ||||
\(584\) | −0.899410 | − | 1.55782i | −0.0372179 | − | 0.0644632i | ||||
\(585\) | −2.83514 | − | 7.65034i | −0.117219 | − | 0.316303i | ||||
\(586\) | −3.88817 | − | 4.31825i | −0.160619 | − | 0.178385i | ||||
\(587\) | 0.133143 | + | 0.409772i | 0.00549541 | + | 0.0169131i | 0.953767 | − | 0.300548i | \(-0.0971696\pi\) |
−0.948271 | + | 0.317461i | \(0.897170\pi\) | |||||||
\(588\) | −3.06603 | + | 2.32447i | −0.126441 | + | 0.0958595i | ||||
\(589\) | 32.1798 | − | 23.7536i | 1.32595 | − | 0.978749i | ||||
\(590\) | 2.77539i | 0.114261i | ||||||||
\(591\) | −19.9006 | − | 13.8482i | −0.818601 | − | 0.569639i | ||||
\(592\) | −2.00030 | + | 1.80108i | −0.0822120 | + | 0.0740240i | ||||
\(593\) | −12.1674 | − | 16.7470i | −0.499657 | − | 0.687719i | 0.482476 | − | 0.875909i | \(-0.339738\pi\) |
−0.982132 | + | 0.188191i | \(0.939738\pi\) | |||||||
\(594\) | −15.0093 | − | 11.9383i | −0.615837 | − | 0.489835i | ||||
\(595\) | 8.68162 | + | 5.01233i | 0.355912 | + | 0.205486i | ||||
\(596\) | 14.2831 | − | 1.50121i | 0.585059 | − | 0.0614921i | ||||
\(597\) | 0.394278 | + | 19.3530i | 0.0161367 | + | 0.792067i | ||||
\(598\) | −1.55711 | + | 14.8149i | −0.0636749 | + | 0.605826i | ||||
\(599\) | −11.9576 | − | 10.7667i | −0.488576 | − | 0.439916i | 0.387657 | − | 0.921804i | \(-0.373285\pi\) |
−0.876233 | + | 0.481888i | \(0.839951\pi\) | |||||||
\(600\) | 0.394548 | + | 1.68651i | 0.0161073 | + | 0.0688517i | ||||
\(601\) | −5.02182 | + | 23.6258i | −0.204845 | + | 0.963718i | 0.748803 | + | 0.662792i | \(0.230629\pi\) |
−0.953648 | + | 0.300925i | \(0.902705\pi\) | |||||||
\(602\) | −4.42158 | + | 0.939837i | −0.180210 | + | 0.0383049i | ||||
\(603\) | 2.59362 | + | 17.7046i | 0.105621 | + | 0.720986i | ||||
\(604\) | 22.5198 | + | 7.31712i | 0.916317 | + | 0.297729i | ||||
\(605\) | 2.49392 | + | 0.810322i | 0.101392 | + | 0.0329443i | ||||
\(606\) | −5.38651 | + | 9.78472i | −0.218812 | + | 0.397477i | ||||
\(607\) | 7.76425 | − | 1.65034i | 0.315141 | − | 0.0669853i | −0.0476258 | − | 0.998865i | \(-0.515165\pi\) |
0.362767 | + | 0.931880i | \(0.381832\pi\) | |||||||
\(608\) | 1.49358 | − | 7.02672i | 0.0605725 | − | 0.284971i | ||||
\(609\) | 22.1053 | − | 5.17137i | 0.895752 | − | 0.209555i | ||||
\(610\) | −11.4104 | − | 10.2739i | −0.461992 | − | 0.415980i | ||||
\(611\) | 3.09528 | − | 29.4496i | 0.125222 | − | 1.19140i | ||||
\(612\) | −10.7915 | + | 8.53308i | −0.436220 | + | 0.344929i | ||||
\(613\) | −31.7438 | + | 3.33641i | −1.28212 | + | 0.134756i | −0.720976 | − | 0.692960i | \(-0.756306\pi\) |
−0.561146 | + | 0.827717i | \(0.689639\pi\) | |||||||
\(614\) | 22.1182 | + | 12.7699i | 0.892616 | + | 0.515352i | ||||
\(615\) | 9.78467 | + | 4.11970i | 0.394556 | + | 0.166122i | ||||
\(616\) | −4.74236 | − | 6.52729i | −0.191075 | − | 0.262992i | ||||
\(617\) | 19.2548 | − | 17.3371i | 0.775168 | − | 0.697964i | −0.183334 | − | 0.983051i | \(-0.558689\pi\) |
0.958502 | + | 0.285086i | \(0.0920223\pi\) | |||||||
\(618\) | −10.6877 | + | 15.3588i | −0.429923 | + | 0.617822i | ||||
\(619\) | 39.8751i | 1.60271i | 0.598187 | + | 0.801357i | \(0.295888\pi\) | ||||
−0.598187 | + | 0.801357i | \(0.704112\pi\) | |||||||
\(620\) | −2.30299 | − | 5.06915i | −0.0924901 | − | 0.203582i | ||||
\(621\) | 10.4319 | + | 26.4811i | 0.418618 | + | 1.06265i | ||||
\(622\) | 3.15435 | + | 9.70809i | 0.126478 | + | 0.389259i | ||||
\(623\) | 4.80200 | + | 5.33316i | 0.192388 | + | 0.213669i | ||||
\(624\) | 4.50865 | + | 1.36406i | 0.180490 | + | 0.0546063i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 11.4373 | − | 19.8100i | 0.457127 | − | 0.791767i | ||||
\(627\) | −31.4175 | − | 33.4947i | −1.25469 | − | 1.33765i | ||||
\(628\) | −8.38598 | − | 6.09277i | −0.334637 | − | 0.243128i | ||||
\(629\) | 12.2760 | + | 1.29026i | 0.489475 | + | 0.0514459i | ||||
\(630\) | −3.50760 | − | 5.54114i | −0.139746 | − | 0.220764i | ||||
\(631\) | 8.46078 | − | 19.0032i | 0.336818 | − | 0.756506i | −0.663150 | − | 0.748487i | \(-0.730781\pi\) |
0.999968 | − | 0.00801934i | \(-0.00255266\pi\) | |||||||
\(632\) | 10.3657 | + | 2.20331i | 0.412327 | + | 0.0876429i | ||||
\(633\) | −6.55701 | + | 7.58757i | −0.260618 | + | 0.301579i | ||||
\(634\) | 12.5313 | − | 5.57929i | 0.497681 | − | 0.221582i | ||||
\(635\) | 4.56115 | − | 14.0378i | 0.181004 | − | 0.557072i | ||||
\(636\) | −1.61524 | − | 4.64692i | −0.0640484 | − | 0.184262i | ||||
\(637\) | −2.45721 | − | 5.51897i | −0.0973580 | − | 0.218670i | ||||
\(638\) | −4.60107 | − | 21.6463i | −0.182158 | − | 0.856987i | ||||
\(639\) | −31.7690 | − | 16.6549i | −1.25676 | − | 0.658857i | ||||
\(640\) | −0.913545 | − | 0.406737i | −0.0361111 | − | 0.0160777i | ||||
\(641\) | 6.80511 | − | 7.55784i | 0.268786 | − | 0.298517i | −0.593609 | − | 0.804754i | \(-0.702297\pi\) |
0.862394 | + | 0.506237i | \(0.168964\pi\) | |||||||
\(642\) | −18.1161 | − | 29.9520i | −0.714984 | − | 1.18211i | ||||
\(643\) | 13.9285 | − | 19.1709i | 0.549286 | − | 0.756028i | −0.440629 | − | 0.897689i | \(-0.645244\pi\) |
0.989915 | + | 0.141662i | \(0.0452445\pi\) | |||||||
\(644\) | 1.25160 | + | 11.9082i | 0.0493199 | + | 0.469248i | ||||
\(645\) | 0.446861 | + | 3.55366i | 0.0175951 | + | 0.139925i | ||||
\(646\) | −28.5297 | + | 16.4717i | −1.12249 | + | 0.648069i | ||||
\(647\) | −26.4307 | + | 19.2031i | −1.03910 | + | 0.754950i | −0.970110 | − | 0.242668i | \(-0.921978\pi\) |
−0.0689898 | + | 0.997617i | \(0.521978\pi\) | |||||||
\(648\) | 8.84443 | − | 1.66614i | 0.347442 | − | 0.0654520i | ||||
\(649\) | −9.74214 | + | 3.16541i | −0.382413 | + | 0.124253i | ||||
\(650\) | −2.71959 | −0.106671 | ||||||||
\(651\) | 14.5379 | + | 15.2663i | 0.569787 | + | 0.598333i | ||||
\(652\) | 8.90281 | 0.348661 | ||||||||
\(653\) | 32.4979 | − | 10.5592i | 1.27174 | − | 0.413214i | 0.406077 | − | 0.913839i | \(-0.366897\pi\) |
0.865664 | + | 0.500625i | \(0.166897\pi\) | |||||||
\(654\) | 4.29785 | − | 22.4601i | 0.168059 | − | 0.878259i | ||||
\(655\) | −16.1450 | + | 11.7300i | −0.630837 | + | 0.458330i | ||||
\(656\) | −5.30829 | + | 3.06474i | −0.207254 | + | 0.119658i | ||||
\(657\) | 3.85996 | − | 3.77128i | 0.150591 | − | 0.147132i | ||||
\(658\) | −2.48798 | − | 23.6716i | −0.0969916 | − | 0.922813i | ||||
\(659\) | 10.3301 | − | 14.2182i | 0.402403 | − | 0.553861i | −0.558942 | − | 0.829207i | \(-0.688792\pi\) |
0.961345 | + | 0.275346i | \(0.0887925\pi\) | |||||||
\(660\) | −5.47000 | + | 3.30846i | −0.212919 | + | 0.128782i | ||||
\(661\) | 11.7988 | − | 13.1039i | 0.458920 | − | 0.509682i | −0.468623 | − | 0.883398i | \(-0.655250\pi\) |
0.927543 | + | 0.373716i | \(0.121917\pi\) | |||||||
\(662\) | −14.2775 | − | 6.35674i | −0.554910 | − | 0.247062i | ||||
\(663\) | −9.18625 | − | 19.5509i | −0.356764 | − | 0.759294i | ||||
\(664\) | −0.294662 | − | 1.38628i | −0.0114351 | − | 0.0537980i | ||||
\(665\) | −6.38723 | − | 14.3459i | −0.247686 | − | 0.556312i | ||||
\(666\) | −6.72072 | − | 4.47636i | −0.260423 | − | 0.173456i | ||||
\(667\) | −10.1489 | + | 31.2350i | −0.392966 | + | 1.20943i | ||||
\(668\) | 10.4404 | − | 4.64838i | 0.403952 | − | 0.179851i | ||||
\(669\) | −3.57414 | − | 3.08870i | −0.138184 | − | 0.119416i | ||||
\(670\) | 5.83417 | + | 1.24009i | 0.225394 | + | 0.0479089i | ||||
\(671\) | 23.0496 | − | 51.7703i | 0.889821 | − | 1.99857i | ||||
\(672\) | 3.77281 | + | 0.318992i | 0.145539 | + | 0.0123054i | ||||
\(673\) | 9.73347 | + | 1.02303i | 0.375198 | + | 0.0394349i | 0.290251 | − | 0.956951i | \(-0.406261\pi\) |
0.0849470 | + | 0.996385i | \(0.472928\pi\) | |||||||
\(674\) | 21.2331 | + | 15.4268i | 0.817870 | + | 0.594218i | ||||
\(675\) | −4.60899 | + | 2.39943i | −0.177400 | + | 0.0923540i | ||||
\(676\) | 2.80191 | − | 4.85304i | 0.107766 | − | 0.186655i | ||||
\(677\) | 0.202661 | + | 0.351020i | 0.00778891 | + | 0.0134908i | 0.869894 | − | 0.493239i | \(-0.164187\pi\) |
−0.862105 | + | 0.506730i | \(0.830854\pi\) | |||||||
\(678\) | 5.50555 | − | 18.1975i | 0.211439 | − | 0.698872i | ||||
\(679\) | 16.1194 | + | 17.9024i | 0.618607 | + | 0.687033i | ||||
\(680\) | 1.41710 | + | 4.36139i | 0.0543434 | + | 0.167252i | ||||
\(681\) | 24.4913 | + | 32.3046i | 0.938510 | + | 1.23792i | ||||
\(682\) | 15.1671 | − | 13.8654i | 0.580777 | − | 0.530935i | ||||
\(683\) | − | 21.3556i | − | 0.817150i | −0.912725 | − | 0.408575i | \(-0.866026\pi\) | ||
0.912725 | − | 0.408575i | \(-0.133974\pi\) | |||||||
\(684\) | 21.5332 | − | 0.877754i | 0.823343 | − | 0.0335618i | ||||
\(685\) | −4.12936 | + | 3.71809i | −0.157775 | + | 0.142061i | ||||
\(686\) | −11.8486 | − | 16.3082i | −0.452380 | − | 0.622648i | ||||
\(687\) | 4.52269 | − | 10.7418i | 0.172551 | − | 0.409825i | ||||
\(688\) | −1.79082 | − | 1.03393i | −0.0682746 | − | 0.0394183i | ||||
\(689\) | 7.68230 | − | 0.807442i | 0.292672 | − | 0.0307611i | ||||
\(690\) | 9.48529 | − | 0.193243i | 0.361099 | − | 0.00735664i | ||||
\(691\) | 0.259829 | − | 2.47210i | 0.00988435 | − | 0.0940433i | −0.988467 | − | 0.151433i | \(-0.951611\pi\) |
0.998352 | + | 0.0573899i | \(0.0182778\pi\) | |||||||
\(692\) | 8.92465 | + | 8.03579i | 0.339264 | + | 0.305475i | ||||
\(693\) | 15.4499 | − | 18.6322i | 0.586895 | − | 0.707779i | ||||
\(694\) | 0.596530 | − | 2.80645i | 0.0226440 | − | 0.106531i | ||||
\(695\) | 5.15860 | − | 1.09649i | 0.195677 | − | 0.0415924i | ||||
\(696\) | 9.09778 | + | 5.00834i | 0.344850 | + | 0.189841i | ||||
\(697\) | 26.7331 | + | 8.68611i | 1.01259 | + | 0.329010i | ||||
\(698\) | −25.8926 | − | 8.41300i | −0.980048 | − | 0.318437i | ||||
\(699\) | −1.48573 | − | 0.817897i | −0.0561954 | − | 0.0309357i | ||||
\(700\) | −2.13823 | + | 0.454496i | −0.0808177 | + | 0.0171783i | ||||
\(701\) | 3.89924 | − | 18.3445i | 0.147272 | − | 0.692861i | −0.841109 | − | 0.540866i | \(-0.818097\pi\) |
0.988381 | − | 0.151995i | \(-0.0485699\pi\) | |||||||
\(702\) | −0.616067 | + | 14.1180i | −0.0232520 | + | 0.532849i | ||||
\(703\) | −14.3696 | − | 12.9384i | −0.541959 | − | 0.487982i | ||||
\(704\) | 0.385797 | − | 3.67062i | 0.0145403 | − | 0.138342i | ||||
\(705\) | −18.8552 | + | 0.384137i | −0.710129 | + | 0.0144674i | ||||
\(706\) | 2.60626 | − | 0.273928i | 0.0980877 | − | 0.0103094i | ||||
\(707\) | −12.2082 | − | 7.04839i | −0.459135 | − | 0.265082i | ||||
\(708\) | 1.86537 | − | 4.43043i | 0.0701050 | − | 0.166506i | ||||
\(709\) | 1.27468 | + | 1.75444i | 0.0478715 | + | 0.0658894i | 0.832282 | − | 0.554353i | \(-0.187034\pi\) |
−0.784410 | + | 0.620242i | \(0.787034\pi\) | |||||||
\(710\) | −8.88552 | + | 8.00056i | −0.333468 | + | 0.300256i | ||||
\(711\) | 1.29485 | + | 31.7656i | 0.0485608 | + | 1.19130i | ||||
\(712\) | 3.28292i | 0.123033i | ||||||||
\(713\) | −29.7821 | + | 6.56598i | −1.11535 | + | 0.245898i | ||||
\(714\) | −10.4899 | − | 13.8364i | −0.392573 | − | 0.517813i | ||||
\(715\) | −3.10178 | − | 9.54630i | −0.116000 | − | 0.357011i | ||||
\(716\) | 12.7454 | + | 14.1551i | 0.476316 | + | 0.529003i | ||||
\(717\) | 6.35890 | − | 21.0181i | 0.237478 | − | 0.784935i | ||||
\(718\) | −17.1821 | − | 29.7602i | −0.641230 | − | 1.11064i | ||||
\(719\) | −16.5506 | + | 28.6664i | −0.617232 | + | 1.06908i | 0.372757 | + | 0.927929i | \(0.378413\pi\) |
−0.989989 | + | 0.141148i | \(0.954921\pi\) | |||||||
\(720\) | 0.503701 | − | 2.95741i | 0.0187718 | − | 0.110216i | ||||
\(721\) | −19.1054 | − | 13.8809i | −0.711523 | − | 0.516952i | ||||
\(722\) | 32.4269 | + | 3.40821i | 1.20680 | + | 0.126840i | ||||
\(723\) | 7.27525 | + | 0.615124i | 0.270569 | + | 0.0228767i | ||||
\(724\) | −4.79676 | + | 10.7737i | −0.178270 | + | 0.400402i | ||||
\(725\) | −5.86489 | − | 1.24662i | −0.217817 | − | 0.0462983i | ||||
\(726\) | −3.43648 | − | 2.96973i | −0.127540 | − | 0.110217i | ||||
\(727\) | 7.87455 | − | 3.50598i | 0.292051 | − | 0.130029i | −0.255481 | − | 0.966814i | \(-0.582234\pi\) |
0.547532 | + | 0.836785i | \(0.315567\pi\) | |||||||
\(728\) | −1.83712 | + | 5.65407i | −0.0680882 | + | 0.209554i | ||||
\(729\) | 11.4119 | + | 24.4698i | 0.422661 | + | 0.906288i | ||||
\(730\) | −0.731646 | − | 1.64330i | −0.0270794 | − | 0.0608214i | ||||
\(731\) | 1.97161 | + | 9.27568i | 0.0729225 | + | 0.343074i | ||||
\(732\) | 11.3094 | + | 24.0696i | 0.418009 | + | 0.889640i | ||||
\(733\) | 2.05609 | + | 0.915431i | 0.0759435 | + | 0.0338122i | 0.444357 | − | 0.895850i | \(-0.353432\pi\) |
−0.368413 | + | 0.929662i | \(0.620099\pi\) | |||||||
\(734\) | 8.14245 | − | 9.04311i | 0.300543 | − | 0.333787i | ||||
\(735\) | −3.29220 | + | 1.99125i | −0.121435 | + | 0.0734483i | ||||
\(736\) | −3.21958 | + | 4.43137i | −0.118675 | + | 0.163342i | ||||
\(737\) | 2.30109 | + | 21.8934i | 0.0847618 | + | 0.806455i | ||||
\(738\) | −12.8506 | − | 13.1528i | −0.473038 | − | 0.484161i | ||||
\(739\) | −34.8580 | + | 20.1253i | −1.28227 | + | 0.740320i | −0.977263 | − | 0.212030i | \(-0.931993\pi\) |
−0.305008 | + | 0.952350i | \(0.598659\pi\) | |||||||
\(740\) | −2.17761 | + | 1.58213i | −0.0800505 | + | 0.0581601i | ||||
\(741\) | −6.35980 | + | 33.2356i | −0.233633 | + | 1.22094i | ||||
\(742\) | 5.90514 | − | 1.91870i | 0.216784 | − | 0.0704375i | ||||
\(743\) | 9.56261 | 0.350818 | 0.175409 | − | 0.984496i | \(-0.443875\pi\) | ||||
0.175409 | + | 0.984496i | \(0.443875\pi\) | |||||||
\(744\) | 0.269281 | + | 9.63989i | 0.00987233 | + | 0.353416i | ||||
\(745\) | 14.3618 | 0.526175 | ||||||||
\(746\) | −20.1464 | + | 6.54595i | −0.737611 | + | 0.239664i | ||||
\(747\) | 3.81050 | − | 1.88610i | 0.139419 | − | 0.0690089i | ||||
\(748\) | −13.6931 | + | 9.94861i | −0.500669 | + | 0.363757i | ||||
\(749\) | 38.2599 | − | 22.0894i | 1.39799 | − | 0.807129i | ||||
\(750\) | 0.216097 | + | 1.71852i | 0.00789076 | + | 0.0627514i | ||||
\(751\) | 3.86289 | + | 36.7530i | 0.140959 | + | 1.34114i | 0.804927 | + | 0.593374i | \(0.202205\pi\) |
−0.663968 | + | 0.747761i | \(0.731129\pi\) | |||||||
\(752\) | 6.40000 | − | 8.80885i | 0.233384 | − | 0.321226i | ||||
\(753\) | 8.57654 | + | 14.1799i | 0.312546 | + | 0.516745i | ||||
\(754\) | −10.9111 | + | 12.1181i | −0.397361 | + | 0.441314i | ||||
\(755\) | 21.6316 | + | 9.63100i | 0.787254 | + | 0.350508i | ||||
\(756\) | 1.87501 | + | 11.2030i | 0.0681935 | + | 0.407449i | ||||
\(757\) | 9.57884 | + | 45.0649i | 0.348149 | + | 1.63791i | 0.708943 | + | 0.705266i | \(0.249173\pi\) |
−0.360794 | + | 0.932646i | \(0.617494\pi\) | |||||||
\(758\) | −1.41427 | − | 3.17651i | −0.0513687 | − | 0.115376i | ||||
\(759\) | 11.4966 | + | 33.0748i | 0.417299 | + | 1.20054i | ||||
\(760\) | 2.21989 | − | 6.83210i | 0.0805237 | − | 0.247826i | ||||
\(761\) | −27.2571 | + | 12.1356i | −0.988069 | + | 0.439917i | −0.836165 | − | 0.548479i | \(-0.815207\pi\) |
−0.151904 | + | 0.988395i | \(0.548541\pi\) | |||||||
\(762\) | −16.7161 | + | 19.3433i | −0.605559 | + | 0.700734i | ||||
\(763\) | 28.2303 | + | 6.00054i | 1.02201 | + | 0.217234i | ||||
\(764\) | 4.28346 | − | 9.62081i | 0.154970 | − | 0.348069i | ||||
\(765\) | −11.6243 | + | 7.35831i | −0.420278 | + | 0.266040i | ||||
\(766\) | −3.63209 | − | 0.381749i | −0.131233 | − | 0.0137931i | ||||
\(767\) | 6.10640 | + | 4.43656i | 0.220489 | + | 0.160195i | ||||
\(768\) | 1.18495 | + | 1.26329i | 0.0427580 | + | 0.0455851i | ||||
\(769\) | −1.03301 | + | 1.78922i | −0.0372512 | + | 0.0645210i | −0.884050 | − | 0.467392i | \(-0.845194\pi\) |
0.846799 | + | 0.531913i | \(0.178527\pi\) | |||||||
\(770\) | −4.03409 | − | 6.98725i | −0.145378 | − | 0.251803i | ||||
\(771\) | −16.3294 | − | 4.94038i | −0.588091 | − | 0.177923i | ||||
\(772\) | 9.60740 | + | 10.6701i | 0.345778 | + | 0.384025i | ||||
\(773\) | −9.43346 | − | 29.0332i | −0.339298 | − | 1.04425i | −0.964566 | − | 0.263842i | \(-0.915010\pi\) |
0.625268 | − | 0.780410i | \(-0.284990\pi\) | |||||||
\(774\) | 1.67513 | − | 5.97316i | 0.0602112 | − | 0.214701i | ||||
\(775\) | −1.76050 | − | 5.28211i | −0.0632390 | − | 0.189739i | ||||
\(776\) | 11.0202i | 0.395601i | ||||||||
\(777\) | 5.82117 | − | 8.36532i | 0.208833 | − | 0.300104i | ||||
\(778\) | −21.6941 | + | 19.5334i | −0.777770 | + | 0.700307i | ||||
\(779\) | −25.8816 | − | 35.6229i | −0.927303 | − | 1.27632i | ||||
\(780\) | 4.34136 | + | 1.82787i | 0.155446 | + | 0.0654484i | ||||
\(781\) | −38.2177 | − | 22.0650i | −1.36754 | − | 0.789548i | ||||
\(782\) | 24.9812 | − | 2.62563i | 0.893326 | − | 0.0938924i | ||||
\(783\) | −7.80004 | + | 30.1635i | −0.278751 | + | 1.07796i | ||||
\(784\) | 0.232198 | − | 2.20922i | 0.00829279 | − | 0.0789006i | ||||
\(785\) | −7.70318 | − | 6.93597i | −0.274938 | − | 0.247555i | ||||
\(786\) | 33.6566 | − | 7.87371i | 1.20049 | − | 0.280846i | ||||
\(787\) | −4.25960 | + | 20.0399i | −0.151839 | + | 0.714344i | 0.834685 | + | 0.550727i | \(0.185649\pi\) |
−0.986524 | + | 0.163617i | \(0.947684\pi\) | |||||||
\(788\) | 13.6918 | − | 2.91028i | 0.487750 | − | 0.103675i | ||||
\(789\) | 12.0598 | − | 21.9070i | 0.429342 | − | 0.779909i | ||||
\(790\) | 10.0787 | + | 3.27475i | 0.358582 | + | 0.116510i | ||||
\(791\) | 22.8206 | + | 7.41487i | 0.811408 | + | 0.263642i | ||||
\(792\) | 10.9556 | − | 1.60493i | 0.389289 | − | 0.0570288i | ||||
\(793\) | −40.8446 | + | 8.68179i | −1.45043 | + | 0.308299i | ||||
\(794\) | −1.94015 | + | 9.12770i | −0.0688534 | + | 0.323930i | ||||
\(795\) | −1.12066 | − | 4.79030i | −0.0397456 | − | 0.169894i | ||||
\(796\) | −8.30524 | − | 7.47807i | −0.294371 | − | 0.265053i | ||||
\(797\) | 0.0364211 | − | 0.346523i | 0.00129010 | − | 0.0122745i | −0.993858 | − | 0.110664i | \(-0.964702\pi\) |
0.995148 | + | 0.0983892i | \(0.0313690\pi\) | |||||||
\(798\) | 0.554017 | + | 27.1938i | 0.0196120 | + | 0.962649i | ||||
\(799\) | −49.6587 | + | 5.21933i | −1.75680 | + | 0.184647i | ||||
\(800\) | −0.866025 | − | 0.500000i | −0.0306186 | − | 0.0176777i | ||||
\(801\) | −9.54215 | + | 2.43834i | −0.337155 | + | 0.0861545i | ||||
\(802\) | −17.7755 | − | 24.4659i | −0.627676 | − | 0.863922i | ||||
\(803\) | 4.93385 | − | 4.44246i | 0.174112 | − | 0.156771i | ||||
\(804\) | −8.47977 | − | 5.90082i | −0.299059 | − | 0.208106i | ||||
\(805\) | 11.9738i | 0.422020i | ||||||||
\(806\) | −14.8345 | − | 3.03620i | −0.522524 | − | 0.106946i | ||||
\(807\) | −10.2438 | + | 7.76621i | −0.360599 | + | 0.273384i | ||||
\(808\) | −1.99274 | − | 6.13303i | −0.0701044 | − | 0.215759i | ||||
\(809\) | 3.55440 | + | 3.94756i | 0.124966 | + | 0.138789i | 0.802381 | − | 0.596812i | \(-0.203566\pi\) |
−0.677415 | + | 0.735601i | \(0.736900\pi\) | |||||||
\(810\) | 8.97014 | − | 0.732513i | 0.315179 | − | 0.0257379i | ||||
\(811\) | 7.80808 | + | 13.5240i | 0.274179 | + | 0.474892i | 0.969928 | − | 0.243393i | \(-0.0782606\pi\) |
−0.695749 | + | 0.718285i | \(0.744927\pi\) | |||||||
\(812\) | −6.55355 | + | 11.3511i | −0.229984 | + | 0.398345i | ||||
\(813\) | 9.38981 | − | 8.80748i | 0.329315 | − | 0.308892i | ||||
\(814\) | −8.03720 | − | 5.83937i | −0.281704 | − | 0.204670i | ||||
\(815\) | 8.85404 | + | 0.930597i | 0.310144 | + | 0.0325974i | ||||
\(816\) | 0.669187 | − | 7.91467i | 0.0234262 | − | 0.277069i | ||||
\(817\) | 6.04204 | − | 13.5707i | 0.211384 | − | 0.474777i | ||||
\(818\) | 14.0360 | + | 2.98344i | 0.490756 | + | 0.104313i | ||||
\(819\) | −17.7986 | − | 1.14030i | −0.621935 | − | 0.0398455i | ||||
\(820\) | −5.59956 | + | 2.49308i | −0.195545 | + | 0.0870623i | ||||
\(821\) | −8.14824 | + | 25.0777i | −0.284376 | + | 0.875218i | 0.702210 | + | 0.711970i | \(0.252197\pi\) |
−0.986585 | + | 0.163248i | \(0.947803\pi\) | |||||||
\(822\) | 9.09079 | − | 3.15990i | 0.317078 | − | 0.110214i | ||||
\(823\) | −11.2849 | − | 25.3462i | −0.393366 | − | 0.883514i | −0.996318 | − | 0.0857363i | \(-0.972676\pi\) |
0.602952 | − | 0.797777i | \(-0.293991\pi\) | |||||||
\(824\) | −2.24609 | − | 10.5670i | −0.0782462 | − | 0.368119i | ||||
\(825\) | −5.78586 | + | 2.71857i | −0.201438 | + | 0.0946483i | ||||
\(826\) | 5.54249 | + | 2.46767i | 0.192848 | + | 0.0858614i | ||||
\(827\) | −23.1122 | + | 25.6687i | −0.803690 | + | 0.892588i | −0.996055 | − | 0.0887356i | \(-0.971717\pi\) |
0.192366 | + | 0.981323i | \(0.438384\pi\) | |||||||
\(828\) | −15.2715 | − | 6.06670i | −0.530722 | − | 0.210833i | ||||
\(829\) | −9.25079 | + | 12.7326i | −0.321293 | + | 0.442222i | −0.938861 | − | 0.344295i | \(-0.888118\pi\) |
0.617568 | + | 0.786517i | \(0.288118\pi\) | |||||||
\(830\) | −0.148143 | − | 1.40948i | −0.00514211 | − | 0.0489239i | ||||
\(831\) | 34.8978 | − | 4.38827i | 1.21059 | − | 0.152227i | ||||
\(832\) | −2.35524 | + | 1.35980i | −0.0816532 | + | 0.0471425i | ||||
\(833\) | −8.24140 | + | 5.98773i | −0.285548 | + | 0.207462i | ||||
\(834\) | −8.97178 | − | 1.71680i | −0.310667 | − | 0.0594478i | ||||
\(835\) | 10.8691 | − | 3.53159i | 0.376142 | − | 0.122216i | ||||
\(836\) | 26.5138 | 0.917000 | ||||||||
\(837\) | −27.8193 | + | 7.94257i | −0.961577 | + | 0.274535i | ||||
\(838\) | 0.540546 | 0.0186728 | ||||||||
\(839\) | −11.2449 | + | 3.65369i | −0.388217 | + | 0.126139i | −0.496621 | − | 0.867968i | \(-0.665426\pi\) |
0.108404 | + | 0.994107i | \(0.465426\pi\) | |||||||
\(840\) | 3.71880 | + | 0.711610i | 0.128311 | + | 0.0245529i | ||||
\(841\) | −5.62348 | + | 4.08570i | −0.193913 | + | 0.140886i | ||||
\(842\) | −15.5738 | + | 8.99155i | −0.536709 | + | 0.309869i | ||||
\(843\) | −45.1620 | + | 5.67896i | −1.55546 | + | 0.195594i | ||||
\(844\) | −0.605200 | − | 5.75809i | −0.0208318 | − | 0.198202i | ||||
\(845\) | 3.29384 | − | 4.53358i | 0.113311 | − | 0.155960i | ||||
\(846\) | 30.3573 | + | 12.0596i | 1.04371 | + | 0.414619i | ||||
\(847\) | 3.83564 | − | 4.25990i | 0.131794 | − | 0.146372i | ||||
\(848\) | 2.59479 | + | 1.15528i | 0.0891056 | + | 0.0396724i | ||||
\(849\) | −0.343633 | + | 0.161461i | −0.0117935 | + | 0.00554131i | ||||
\(850\) | 0.953450 | + | 4.48563i | 0.0327031 | + | 0.153856i | ||||
\(851\) | 5.99675 | + | 13.4689i | 0.205566 | + | 0.461708i | ||||
\(852\) | 19.5615 | − | 6.79945i | 0.670165 | − | 0.232945i | ||||
\(853\) | 15.0978 | − | 46.4663i | 0.516940 | − | 1.59098i | −0.262785 | − | 0.964854i | \(-0.584641\pi\) |
0.779725 | − | 0.626122i | \(-0.215359\pi\) | |||||||
\(854\) | −30.6625 | + | 13.6518i | −1.04925 | + | 0.467156i | ||||
\(855\) | 21.5070 | + | 1.37789i | 0.735524 | + | 0.0471228i | ||||
\(856\) | 19.7682 | + | 4.20186i | 0.675663 | + | 0.143617i | ||||
\(857\) | 12.2561 | − | 27.5277i | 0.418661 | − | 0.940328i | −0.573939 | − | 0.818898i | \(-0.694585\pi\) |
0.992600 | − | 0.121430i | \(-0.0387479\pi\) | |||||||
\(858\) | −1.46473 | + | 17.3238i | −0.0500050 | + | 0.591424i | ||||
\(859\) | 36.7520 | + | 3.86279i | 1.25396 | + | 0.131797i | 0.708121 | − | 0.706091i | \(-0.249543\pi\) |
0.545842 | + | 0.837888i | \(0.316210\pi\) | |||||||
\(860\) | −1.67294 | − | 1.21546i | −0.0570468 | − | 0.0414469i | ||||
\(861\) | 16.9269 | − | 15.8772i | 0.576868 | − | 0.541093i | ||||
\(862\) | −10.1194 | + | 17.5274i | −0.344670 | + | 0.596985i | ||||
\(863\) | 5.92627 | + | 10.2646i | 0.201733 | + | 0.349411i | 0.949087 | − | 0.315015i | \(-0.102009\pi\) |
−0.747354 | + | 0.664426i | \(0.768676\pi\) | |||||||
\(864\) | −2.79179 | + | 4.38246i | −0.0949785 | + | 0.149094i | ||||
\(865\) | 8.03579 | + | 8.92465i | 0.273225 | + | 0.303447i | ||||
\(866\) | 10.2092 | + | 31.4207i | 0.346923 | + | 1.06772i | ||||
\(867\) | −5.56225 | + | 4.21695i | −0.188904 | + | 0.143215i | ||||
\(868\) | −12.1708 | + | 0.0919725i | −0.413104 | + | 0.00312175i | ||||
\(869\) | 39.1130i | 1.32682i | ||||||||
\(870\) | 8.52442 | + | 5.93188i | 0.289005 | + | 0.201110i | ||||
\(871\) | 12.0546 | − | 10.8540i | 0.408454 | − | 0.367774i | ||||
\(872\) | 7.76031 | + | 10.6811i | 0.262797 | + | 0.361709i | ||||
\(873\) | −32.0312 | + | 8.18505i | −1.08409 | + | 0.277022i | ||||
\(874\) | −34.0768 | − | 19.6742i | −1.15266 | − | 0.665491i | ||||
\(875\) | −2.17403 | + | 0.228500i | −0.0734956 | + | 0.00772470i | ||||
\(876\) | 0.0634618 | + | 3.11500i | 0.00214417 | + | 0.105246i | ||||
\(877\) | −0.710708 | + | 6.76193i | −0.0239989 | + | 0.228334i | 0.975948 | + | 0.218005i | \(0.0699548\pi\) |
−0.999947 | + | 0.0103297i | \(0.996712\pi\) | |||||||
\(878\) | 0.136714 | + | 0.123097i | 0.00461386 | + | 0.00415434i | ||||
\(879\) | 2.29263 | + | 9.79995i | 0.0773284 | + | 0.330544i | ||||
\(880\) | 0.767368 | − | 3.61018i | 0.0258680 | − | 0.121699i | ||||
\(881\) | −5.18548 | + | 1.10221i | −0.174703 | + | 0.0371343i | −0.294433 | − | 0.955672i | \(-0.595131\pi\) |
0.119729 | + | 0.992807i | \(0.461797\pi\) | |||||||
\(882\) | 6.59378 | − | 0.965954i | 0.222024 | − | 0.0325254i | ||||
\(883\) | −11.4622 | − | 3.72430i | −0.385735 | − | 0.125333i | 0.109729 | − | 0.993962i | \(-0.465002\pi\) |
−0.495463 | + | 0.868629i | \(0.665002\pi\) | |||||||
\(884\) | 11.8612 | + | 3.85394i | 0.398936 | + | 0.129622i | ||||
\(885\) | 2.31826 | − | 4.21117i | 0.0779275 | − | 0.141557i | ||||
\(886\) | −17.3988 | + | 3.69823i | −0.584525 | + | 0.124245i | ||||
\(887\) | −8.10250 | + | 38.1193i | −0.272055 | + | 1.27992i | 0.603719 | + | 0.797198i | \(0.293685\pi\) |
−0.875774 | + | 0.482722i | \(0.839648\pi\) | |||||||
\(888\) | 4.53955 | − | 1.06199i | 0.152337 | − | 0.0356382i | ||||
\(889\) | −23.9782 | − | 21.5901i | −0.804203 | − | 0.724107i | ||||
\(890\) | −0.343159 | + | 3.26494i | −0.0115027 | + | 0.109441i | ||||
\(891\) | 12.8020 | + | 30.6515i | 0.428883 | + | 1.02686i | ||||
\(892\) | 2.71236 | − | 0.285081i | 0.0908166 | − | 0.00954521i | ||||
\(893\) | 67.7392 | + | 39.1093i | 2.26681 | + | 1.30874i | ||||
\(894\) | −22.9261 | − | 9.65273i | −0.766764 | − | 0.322836i | ||||
\(895\) | 11.1959 | + | 15.4099i | 0.374238 | + | 0.515095i | ||||
\(896\) | −1.62452 | + | 1.46272i | −0.0542713 | + | 0.0488661i | ||||
\(897\) | 14.7374 | − | 21.1784i | 0.492068 | − | 0.707127i | ||||
\(898\) | 11.6223i | 0.387842i | ||||||||
\(899\) | −30.5994 | − | 13.3476i | −1.02055 | − | 0.445167i | ||||
\(900\) | 0.810075 | − | 2.88856i | 0.0270025 | − | 0.0962853i | ||||
\(901\) | −4.02508 | − | 12.3879i | −0.134095 | − | 0.412701i | ||||
\(902\) | −15.1377 | − | 16.8121i | −0.504029 | − | 0.559781i | ||||
\(903\) | 7.49403 | + | 2.26728i | 0.249386 | + | 0.0754502i | ||||
\(904\) | 5.48833 | + | 9.50606i | 0.182539 | + | 0.316167i | ||||
\(905\) | −5.89665 | + | 10.2133i | −0.196011 | + | 0.339501i | ||||
\(906\) | −28.0580 | − | 29.9131i | −0.932164 | − | 0.993796i | ||||
\(907\) | 22.9450 | + | 16.6705i | 0.761875 | + | 0.553535i | 0.899485 | − | 0.436952i | \(-0.143942\pi\) |
−0.137610 | + | 0.990487i | \(0.543942\pi\) | |||||||
\(908\) | −23.2770 | − | 2.44651i | −0.772475 | − | 0.0811904i | ||||
\(909\) | 16.3462 | − | 10.3473i | 0.542169 | − | 0.343199i | ||||
\(910\) | −2.41807 | + | 5.43107i | −0.0801581 | + | 0.180038i | ||||
\(911\) | −10.2922 | − | 2.18767i | −0.340995 | − | 0.0724807i | 0.0342314 | − | 0.999414i | \(-0.489102\pi\) |
−0.375226 | + | 0.926933i | \(0.622435\pi\) | |||||||
\(912\) | −8.13561 | + | 9.41427i | −0.269397 | + | 0.311738i | ||||
\(913\) | 4.77860 | − | 2.12757i | 0.158148 | − | 0.0704122i | ||||
\(914\) | 5.46852 | − | 16.8304i | 0.180883 | − | 0.556699i | ||||
\(915\) | 8.73153 | + | 25.1199i | 0.288656 | + | 0.830440i | ||||
\(916\) | 2.73696 | + | 6.14731i | 0.0904316 | + | 0.203113i | ||||
\(917\) | 9.07005 | + | 42.6712i | 0.299520 | + | 1.40913i | ||||
\(918\) | 23.5018 | − | 3.93344i | 0.775676 | − | 0.129823i | ||||
\(919\) | −34.2566 | − | 15.2520i | −1.13002 | − | 0.503118i | −0.245397 | − | 0.969423i | \(-0.578918\pi\) |
−0.884624 | + | 0.466305i | \(0.845585\pi\) | |||||||
\(920\) | −3.66514 | + | 4.07055i | −0.120836 | + | 0.134202i | ||||
\(921\) | −22.8939 | − | 37.8513i | −0.754379 | − | 1.24724i | ||||
\(922\) | −21.8334 | + | 30.0510i | −0.719043 | + | 0.989678i | ||||
\(923\) | 3.39898 | + | 32.3391i | 0.111879 | + | 1.06445i | ||||
\(924\) | 1.74351 | + | 13.8653i | 0.0573574 | + | 0.456135i | ||||
\(925\) | −2.33106 | + | 1.34584i | −0.0766447 | + | 0.0442508i | ||||
\(926\) | 6.38766 | − | 4.64091i | 0.209912 | − | 0.152510i | ||||
\(927\) | 29.0459 | − | 14.3770i | 0.953992 | − | 0.472202i | ||||
\(928\) | −5.70246 | + | 1.85284i | −0.187192 | + | 0.0608225i | ||||
\(929\) | 55.3918 | 1.81734 | 0.908672 | − | 0.417510i | \(-0.137097\pi\) | ||||
0.908672 | + | 0.417510i | \(0.137097\pi\) | |||||||
\(930\) | −0.739837 | + | 9.61523i | −0.0242602 | + | 0.315296i | ||||
\(931\) | 15.9578 | 0.522995 | ||||||||
\(932\) | 0.931250 | − | 0.302581i | 0.0305041 | − | 0.00991138i | ||||
\(933\) | 3.32291 | − | 17.3652i | 0.108787 | − | 0.568510i | ||||
\(934\) | 28.8659 | − | 20.9723i | 0.944520 | − | 0.686234i | ||||
\(935\) | −14.6580 | + | 8.46279i | −0.479367 | + | 0.276763i | ||||
\(936\) | −5.70171 | − | 5.83577i | −0.186366 | − | 0.190748i | ||||
\(937\) | 2.33085 | + | 22.1766i | 0.0761457 | + | 0.724478i | 0.964278 | + | 0.264891i | \(0.0853359\pi\) |
−0.888133 | + | 0.459587i | \(0.847997\pi\) | |||||||
\(938\) | 7.66381 | − | 10.5483i | 0.250232 | − | 0.344415i | ||||
\(939\) | −33.9013 | + | 20.5048i | −1.10633 | + | 0.669148i | ||||
\(940\) | 7.28572 | − | 8.09161i | 0.237634 | − | 0.263919i | ||||
\(941\) | −13.4969 | − | 6.00921i | −0.439986 | − | 0.195895i | 0.174774 | − | 0.984609i | \(-0.444081\pi\) |
−0.614760 | + | 0.788714i | \(0.710747\pi\) | |||||||
\(942\) | 7.63504 | + | 16.2495i | 0.248763 | + | 0.529437i | ||||
\(943\) | 6.98044 | + | 32.8404i | 0.227314 | + | 1.06943i | ||||
\(944\) | 1.12885 | + | 2.53544i | 0.0367410 | + | 0.0825216i | ||||
\(945\) | 0.693709 | + | 11.3376i | 0.0225664 | + | 0.368812i | ||||
\(946\) | 2.35846 | − | 7.25861i | 0.0766803 | − | 0.235998i | ||||
\(947\) | 39.9597 | − | 17.7912i | 1.29852 | − | 0.578137i | 0.363122 | − | 0.931742i | \(-0.381711\pi\) |
0.935395 | + | 0.353605i | \(0.115044\pi\) | |||||||
\(948\) | −13.8878 | − | 12.0016i | −0.451056 | − | 0.389793i | ||||
\(949\) | −4.78516 | − | 1.01712i | −0.155333 | − | 0.0330170i | ||||
\(950\) | 2.92187 | − | 6.56264i | 0.0947981 | − | 0.212920i | ||||
\(951\) | −23.6744 | − | 2.00168i | −0.767696 | − | 0.0649089i | ||||
\(952\) | 9.96975 | + | 1.04786i | 0.323122 | + | 0.0339614i | ||||
\(953\) | −10.2091 | − | 7.41738i | −0.330707 | − | 0.240272i | 0.410024 | − | 0.912075i | \(-0.365520\pi\) |
−0.740730 | + | 0.671802i | \(0.765520\pi\) | |||||||
\(954\) | −1.43069 | + | 8.40010i | −0.0463203 | + | 0.271963i | ||||
\(955\) | 5.26564 | − | 9.12036i | 0.170392 | − | 0.295128i | ||||
\(956\) | 6.33901 | + | 10.9795i | 0.205018 | + | 0.355102i | ||||
\(957\) | −11.0997 | + | 36.6879i | −0.358802 | + | 1.18595i | ||||
\(958\) | 14.3354 | + | 15.9211i | 0.463156 | + | 0.514387i | ||||
\(959\) | 3.75355 | + | 11.5522i | 0.121209 | + | 0.373041i | ||||
\(960\) | 1.04640 | + | 1.38023i | 0.0337726 | + | 0.0445468i | ||||
\(961\) | −3.70594 | − | 30.7777i | −0.119546 | − | 0.992829i | ||||
\(962\) | 7.32026i | 0.236015i | ||||||||
\(963\) | 2.46938 | + | 60.5792i | 0.0795746 | + | 1.95214i | ||||
\(964\) | −3.13262 | + | 2.82062i | −0.100895 | + | 0.0908461i | ||||
\(965\) | 8.43944 | + | 11.6159i | 0.271675 | + | 0.373929i | ||||
\(966\) | 8.04773 | − | 19.1141i | 0.258931 | − | 0.614985i | ||||
\(967\) | 36.3692 | + | 20.9978i | 1.16956 | + | 0.675243i | 0.953575 | − | 0.301154i | \(-0.0973719\pi\) |
0.215980 | + | 0.976398i | \(0.430705\pi\) | |||||||
\(968\) | 2.60789 | − | 0.274101i | 0.0838209 | − | 0.00880993i | ||||
\(969\) | 57.0476 | − | 1.16223i | 1.83263 | − | 0.0373362i | ||||
\(970\) | −1.15192 | + | 10.9598i | −0.0369859 | + | 0.351898i | ||||
\(971\) | −21.1277 | − | 19.0235i | −0.678021 | − | 0.610493i | 0.256439 | − | 0.966560i | \(-0.417451\pi\) |
−0.934460 | + | 0.356068i | \(0.884117\pi\) | |||||||
\(972\) | −14.8116 | − | 4.85961i | −0.475083 | − | 0.155872i | ||||
\(973\) | 2.39694 | − | 11.2767i | 0.0768424 | − | 0.361515i | ||||
\(974\) | 33.6456 | − | 7.15159i | 1.07807 | − | 0.229152i | ||||
\(975\) | 4.12652 | + | 2.27166i | 0.132154 | + | 0.0727512i | ||||
\(976\) | −14.6027 | − | 4.74470i | −0.467420 | − | 0.151874i | ||||
\(977\) | 3.23480 | + | 1.05105i | 0.103491 | + | 0.0336261i | 0.360305 | − | 0.932835i | \(-0.382673\pi\) |
−0.256814 | + | 0.966461i | \(0.582673\pi\) | |||||||
\(978\) | −13.5085 | − | 7.43645i | −0.431954 | − | 0.237792i | ||||
\(979\) | −11.8519 | + | 2.51921i | −0.378790 | + | 0.0805142i | ||||
\(980\) | 0.461852 | − | 2.17284i | 0.0147533 | − | 0.0694090i | ||||
\(981\) | −25.2820 | + | 30.4894i | −0.807192 | + | 0.973451i | ||||
\(982\) | 2.49274 | + | 2.24447i | 0.0795464 | + | 0.0716239i | ||||
\(983\) | −1.07992 | + | 10.2747i | −0.0344440 | + | 0.327713i | 0.963709 | + | 0.266956i | \(0.0860180\pi\) |
−0.998153 | + | 0.0607565i | \(0.980649\pi\) | |||||||
\(984\) | 10.6144 | − | 0.216246i | 0.338374 | − | 0.00689367i | ||||
\(985\) | 13.9210 | − | 1.46316i | 0.443560 | − | 0.0466201i | ||||
\(986\) | 23.8125 | + | 13.7482i | 0.758345 | + | 0.437831i | ||||
\(987\) | −15.9976 | + | 37.9957i | −0.509209 | + | 1.20942i | ||||
\(988\) | −11.4834 | − | 15.8056i | −0.365336 | − | 0.502842i | ||||
\(989\) | −8.41736 | + | 7.57903i | −0.267657 | + | 0.240999i | ||||
\(990\) | 11.0633 | − | 0.450972i | 0.351615 | − | 0.0143328i | ||||
\(991\) | − | 22.5140i | − | 0.715181i | −0.933878 | − | 0.357591i | \(-0.883598\pi\) | ||
0.933878 | − | 0.357591i | \(-0.116402\pi\) | |||||||
\(992\) | −4.16569 | − | 3.69419i | −0.132261 | − | 0.117291i | ||||
\(993\) | 16.3539 | + | 21.5711i | 0.518975 | + | 0.684540i | ||||
\(994\) | 8.07686 | + | 24.8580i | 0.256183 | + | 0.788449i | ||||
\(995\) | −7.47807 | − | 8.30524i | −0.237071 | − | 0.263294i | ||||
\(996\) | −0.710848 | + | 2.34957i | −0.0225241 | + | 0.0744489i | ||||
\(997\) | 10.5595 | + | 18.2896i | 0.334424 | + | 0.579239i | 0.983374 | − | 0.181592i | \(-0.0581250\pi\) |
−0.648950 | + | 0.760831i | \(0.724792\pi\) | |||||||
\(998\) | −12.4415 | + | 21.5493i | −0.393828 | + | 0.682130i | ||||
\(999\) | 6.45847 | + | 12.4059i | 0.204337 | + | 0.392505i |
(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 | 930.2.br.b.11.13 | yes | 176 | |
3.2 | odd | 2 | inner | 930.2.br.b.11.7 | ✓ | 176 | |
31.17 | odd | 30 | inner | 930.2.br.b.761.7 | yes | 176 | |
93.17 | even | 30 | inner | 930.2.br.b.761.13 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.br.b.11.7 | ✓ | 176 | 3.2 | odd | 2 | inner | |
930.2.br.b.11.13 | yes | 176 | 1.1 | even | 1 | trivial | |
930.2.br.b.761.7 | yes | 176 | 31.17 | odd | 30 | inner | |
930.2.br.b.761.13 | yes | 176 | 93.17 | even | 30 | inner |