Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
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([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), 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: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 541.1 | ||
Character | \(\chi\) | \(=\) | 930.541 |
Dual form | 930.2.bg.g.361.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{11}{15}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | − | 0.951057i | 0.218508 | − | 0.672499i | ||||
\(3\) | 0.669131 | − | 0.743145i | 0.386323 | − | 0.429055i | ||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | ||||
\(6\) | −0.500000 | − | 0.866025i | −0.204124 | − | 0.353553i | ||||
\(7\) | −0.272387 | + | 2.59159i | −0.102952 | + | 0.979528i | 0.814090 | + | 0.580738i | \(0.197236\pi\) |
−0.917043 | + | 0.398789i | \(0.869431\pi\) | |||||||
\(8\) | −0.809017 | + | 0.587785i | −0.286031 | + | 0.207813i | ||||
\(9\) | −0.104528 | − | 0.994522i | −0.0348428 | − | 0.331507i | ||||
\(10\) | 0.669131 | + | 0.743145i | 0.211598 | + | 0.235003i | ||||
\(11\) | −4.40434 | + | 1.96094i | −1.32796 | + | 0.591246i | −0.943339 | − | 0.331829i | \(-0.892334\pi\) |
−0.384620 | + | 0.923075i | \(0.625668\pi\) | |||||||
\(12\) | −0.978148 | + | 0.207912i | −0.282367 | + | 0.0600189i | ||||
\(13\) | −1.10502 | − | 0.234879i | −0.306477 | − | 0.0651438i | 0.0521057 | − | 0.998642i | \(-0.483407\pi\) |
−0.358583 | + | 0.933498i | \(0.616740\pi\) | |||||||
\(14\) | 2.38057 | + | 1.05990i | 0.636235 | + | 0.283270i | ||||
\(15\) | 0.309017 | + | 0.951057i | 0.0797878 | + | 0.245562i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −4.16953 | − | 1.85640i | −1.01126 | − | 0.450242i | −0.166875 | − | 0.985978i | \(-0.553367\pi\) |
−0.844385 | + | 0.535736i | \(0.820034\pi\) | |||||||
\(18\) | −0.978148 | − | 0.207912i | −0.230552 | − | 0.0490053i | ||||
\(19\) | −3.63266 | + | 0.772145i | −0.833389 | + | 0.177142i | −0.604797 | − | 0.796380i | \(-0.706746\pi\) |
−0.228592 | + | 0.973522i | \(0.573412\pi\) | |||||||
\(20\) | 0.913545 | − | 0.406737i | 0.204275 | − | 0.0909491i | ||||
\(21\) | 1.74366 | + | 1.93653i | 0.380498 | + | 0.422586i | ||||
\(22\) | 0.503948 | + | 4.79474i | 0.107442 | + | 1.02224i | ||||
\(23\) | −3.62530 | + | 2.63393i | −0.755927 | + | 0.549213i | −0.897658 | − | 0.440692i | \(-0.854733\pi\) |
0.141731 | + | 0.989905i | \(0.454733\pi\) | |||||||
\(24\) | −0.104528 | + | 0.994522i | −0.0213368 | + | 0.203006i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | −0.564853 | + | 0.978355i | −0.110777 | + | 0.191871i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | 1.74366 | − | 1.93653i | 0.329521 | − | 0.365970i | ||||
\(29\) | 0.109322 | − | 0.336457i | 0.0203005 | − | 0.0624785i | −0.940393 | − | 0.340089i | \(-0.889543\pi\) |
0.960694 | + | 0.277611i | \(0.0895426\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | −3.55116 | + | 4.28827i | −0.637807 | + | 0.770196i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −1.48982 | + | 4.58519i | −0.259344 | + | 0.798179i | ||||
\(34\) | −3.05399 | + | 3.39180i | −0.523755 | + | 0.581689i | ||||
\(35\) | −2.10819 | − | 1.53169i | −0.356349 | − | 0.258902i | ||||
\(36\) | −0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | ||||
\(37\) | −2.47405 | − | 4.28518i | −0.406732 | − | 0.704480i | 0.587790 | − | 0.809014i | \(-0.299998\pi\) |
−0.994521 | + | 0.104534i | \(0.966665\pi\) | |||||||
\(38\) | −0.388199 | + | 3.69347i | −0.0629742 | + | 0.599160i | ||||
\(39\) | −0.913952 | + | 0.664025i | −0.146349 | + | 0.106329i | ||||
\(40\) | −0.104528 | − | 0.994522i | −0.0165274 | − | 0.157248i | ||||
\(41\) | −4.05295 | − | 4.50126i | −0.632964 | − | 0.702978i | 0.338285 | − | 0.941044i | \(-0.390153\pi\) |
−0.971249 | + | 0.238066i | \(0.923487\pi\) | |||||||
\(42\) | 2.38057 | − | 1.05990i | 0.367330 | − | 0.163546i | ||||
\(43\) | 8.37667 | − | 1.78052i | 1.27743 | − | 0.271526i | 0.481248 | − | 0.876584i | \(-0.340184\pi\) |
0.796181 | + | 0.605058i | \(0.206850\pi\) | |||||||
\(44\) | 4.71580 | + | 1.00237i | 0.710934 | + | 0.151114i | ||||
\(45\) | 0.913545 | + | 0.406737i | 0.136183 | + | 0.0606327i | ||||
\(46\) | 1.38474 | + | 4.26179i | 0.204169 | + | 0.628367i | ||||
\(47\) | 1.56658 | + | 4.82145i | 0.228510 | + | 0.703280i | 0.997916 | + | 0.0645211i | \(0.0205520\pi\) |
−0.769407 | + | 0.638759i | \(0.779448\pi\) | |||||||
\(48\) | 0.913545 | + | 0.406737i | 0.131859 | + | 0.0587074i | ||||
\(49\) | 0.204908 | + | 0.0435545i | 0.0292725 | + | 0.00622207i | ||||
\(50\) | −0.978148 | + | 0.207912i | −0.138331 | + | 0.0294032i | ||||
\(51\) | −4.16953 | + | 1.85640i | −0.583851 | + | 0.259947i | ||||
\(52\) | 0.755921 | + | 0.839536i | 0.104827 | + | 0.116423i | ||||
\(53\) | 0.656704 | + | 6.24812i | 0.0902052 | + | 0.858246i | 0.942280 | + | 0.334826i | \(0.108677\pi\) |
−0.852075 | + | 0.523420i | \(0.824656\pi\) | |||||||
\(54\) | −0.809017 | + | 0.587785i | −0.110093 | + | 0.0799874i | ||||
\(55\) | 0.503948 | − | 4.79474i | 0.0679523 | − | 0.646523i | ||||
\(56\) | −1.30293 | − | 2.25674i | −0.174111 | − | 0.301570i | ||||
\(57\) | −1.85691 | + | 3.21626i | −0.245953 | + | 0.426004i | ||||
\(58\) | −0.286207 | − | 0.207942i | −0.0375809 | − | 0.0273041i | ||||
\(59\) | 0.787413 | − | 0.874510i | 0.102512 | − | 0.113852i | −0.689705 | − | 0.724090i | \(-0.742260\pi\) |
0.792218 | + | 0.610239i | \(0.208927\pi\) | |||||||
\(60\) | 0.309017 | − | 0.951057i | 0.0398939 | − | 0.122781i | ||||
\(61\) | 9.97448 | 1.27710 | 0.638551 | − | 0.769580i | \(-0.279534\pi\) | ||||
0.638551 | + | 0.769580i | \(0.279534\pi\) | |||||||
\(62\) | 2.98102 | + | 4.70250i | 0.378590 | + | 0.597218i | ||||
\(63\) | 2.60586 | 0.328308 | ||||||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 0.755921 | − | 0.839536i | 0.0937605 | − | 0.104132i | ||||
\(66\) | 3.90040 | + | 2.83380i | 0.480106 | + | 0.348817i | ||||
\(67\) | −0.256055 | + | 0.443500i | −0.0312821 | + | 0.0541821i | −0.881243 | − | 0.472664i | \(-0.843292\pi\) |
0.849961 | + | 0.526846i | \(0.176626\pi\) | |||||||
\(68\) | 2.28206 | + | 3.95264i | 0.276740 | + | 0.479329i | ||||
\(69\) | −0.468404 | + | 4.45657i | −0.0563892 | + | 0.536508i | ||||
\(70\) | −2.10819 | + | 1.53169i | −0.251976 | + | 0.183072i | ||||
\(71\) | −1.17136 | − | 11.1448i | −0.139015 | − | 1.32264i | −0.812292 | − | 0.583251i | \(-0.801780\pi\) |
0.673277 | − | 0.739391i | \(-0.264886\pi\) | |||||||
\(72\) | 0.669131 | + | 0.743145i | 0.0788578 | + | 0.0875805i | ||||
\(73\) | −0.837072 | + | 0.372688i | −0.0979719 | + | 0.0436199i | −0.455137 | − | 0.890421i | \(-0.650410\pi\) |
0.357166 | + | 0.934041i | \(0.383743\pi\) | |||||||
\(74\) | −4.83998 | + | 1.02877i | −0.562636 | + | 0.119592i | ||||
\(75\) | −0.978148 | − | 0.207912i | −0.112947 | − | 0.0240076i | ||||
\(76\) | 3.39274 | + | 1.51054i | 0.389174 | + | 0.173271i | ||||
\(77\) | −3.88226 | − | 11.9484i | −0.442425 | − | 1.36164i | ||||
\(78\) | 0.349099 | + | 1.07442i | 0.0395276 | + | 0.121654i | ||||
\(79\) | 7.45987 | + | 3.32135i | 0.839301 | + | 0.373681i | 0.780933 | − | 0.624614i | \(-0.214744\pi\) |
0.0583674 | + | 0.998295i | \(0.481411\pi\) | |||||||
\(80\) | −0.978148 | − | 0.207912i | −0.109360 | − | 0.0232452i | ||||
\(81\) | −0.978148 | + | 0.207912i | −0.108683 | + | 0.0231013i | ||||
\(82\) | −5.53338 | + | 2.46362i | −0.611059 | + | 0.272061i | ||||
\(83\) | 6.59577 | + | 7.32534i | 0.723980 | + | 0.804061i | 0.986998 | − | 0.160730i | \(-0.0513848\pi\) |
−0.263019 | + | 0.964791i | \(0.584718\pi\) | |||||||
\(84\) | −0.272387 | − | 2.59159i | −0.0297198 | − | 0.282765i | ||||
\(85\) | 3.69245 | − | 2.68272i | 0.400503 | − | 0.290982i | ||||
\(86\) | 0.895161 | − | 8.51689i | 0.0965277 | − | 0.918400i | ||||
\(87\) | −0.176886 | − | 0.306375i | −0.0189642 | − | 0.0328469i | ||||
\(88\) | 2.41058 | − | 4.17524i | 0.256968 | − | 0.445082i | ||||
\(89\) | 3.79884 | + | 2.76002i | 0.402676 | + | 0.292561i | 0.770630 | − | 0.637283i | \(-0.219942\pi\) |
−0.367954 | + | 0.929844i | \(0.619942\pi\) | |||||||
\(90\) | 0.669131 | − | 0.743145i | 0.0705326 | − | 0.0783343i | ||||
\(91\) | 0.909703 | − | 2.79978i | 0.0953628 | − | 0.293496i | ||||
\(92\) | 4.48112 | 0.467189 | ||||||||
\(93\) | 0.810617 | + | 5.50844i | 0.0840570 | + | 0.571199i | ||||
\(94\) | 5.06957 | 0.522886 | ||||||||
\(95\) | 1.14763 | − | 3.53205i | 0.117745 | − | 0.362380i | ||||
\(96\) | 0.669131 | − | 0.743145i | 0.0682929 | − | 0.0758469i | ||||
\(97\) | −14.6203 | − | 10.6223i | −1.48447 | − | 1.07853i | −0.976082 | − | 0.217403i | \(-0.930241\pi\) |
−0.508388 | − | 0.861128i | \(-0.669759\pi\) | |||||||
\(98\) | 0.104743 | − | 0.181420i | 0.0105806 | − | 0.0183262i | ||||
\(99\) | 2.41058 | + | 4.17524i | 0.242272 | + | 0.419628i | ||||
\(100\) | −0.104528 | + | 0.994522i | −0.0104528 | + | 0.0994522i | ||||
\(101\) | −7.47921 | + | 5.43397i | −0.744209 | + | 0.540700i | −0.894027 | − | 0.448014i | \(-0.852132\pi\) |
0.149817 | + | 0.988714i | \(0.452132\pi\) | |||||||
\(102\) | 0.477080 | + | 4.53912i | 0.0472380 | + | 0.449440i | ||||
\(103\) | 5.96889 | + | 6.62912i | 0.588132 | + | 0.653186i | 0.961599 | − | 0.274457i | \(-0.0884980\pi\) |
−0.373468 | + | 0.927643i | \(0.621831\pi\) | |||||||
\(104\) | 1.03204 | − | 0.459493i | 0.101200 | − | 0.0450570i | ||||
\(105\) | −2.54892 | + | 0.541789i | −0.248749 | + | 0.0528732i | ||||
\(106\) | 6.14525 | + | 1.30621i | 0.596879 | + | 0.126871i | ||||
\(107\) | −12.9566 | − | 5.76863i | −1.25256 | − | 0.557675i | −0.330163 | − | 0.943924i | \(-0.607104\pi\) |
−0.922394 | + | 0.386249i | \(0.873770\pi\) | |||||||
\(108\) | 0.309017 | + | 0.951057i | 0.0297352 | + | 0.0915155i | ||||
\(109\) | 5.06859 | + | 15.5995i | 0.485483 | + | 1.49416i | 0.831280 | + | 0.555854i | \(0.187609\pi\) |
−0.345797 | + | 0.938309i | \(0.612391\pi\) | |||||||
\(110\) | −4.40434 | − | 1.96094i | −0.419938 | − | 0.186968i | ||||
\(111\) | −4.83998 | − | 1.02877i | −0.459390 | − | 0.0976464i | ||||
\(112\) | −2.54892 | + | 0.541789i | −0.240850 | + | 0.0511943i | ||||
\(113\) | 0.632823 | − | 0.281751i | 0.0595310 | − | 0.0265049i | −0.376755 | − | 0.926313i | \(-0.622960\pi\) |
0.436286 | + | 0.899808i | \(0.356294\pi\) | |||||||
\(114\) | 2.48503 | + | 2.75990i | 0.232744 | + | 0.258488i | ||||
\(115\) | −0.468404 | − | 4.45657i | −0.0436789 | − | 0.415577i | ||||
\(116\) | −0.286207 | + | 0.207942i | −0.0265737 | + | 0.0193069i | ||||
\(117\) | −0.118087 | + | 1.12352i | −0.0109171 | + | 0.103869i | ||||
\(118\) | −0.588385 | − | 1.01911i | −0.0541652 | − | 0.0938169i | ||||
\(119\) | 5.94673 | − | 10.3000i | 0.545136 | − | 0.944203i | ||||
\(120\) | −0.809017 | − | 0.587785i | −0.0738528 | − | 0.0536572i | ||||
\(121\) | 8.19252 | − | 9.09872i | 0.744775 | − | 0.827156i | ||||
\(122\) | 3.08228 | − | 9.48629i | 0.279057 | − | 0.858849i | ||||
\(123\) | −6.05704 | −0.546145 | ||||||||
\(124\) | 5.39353 | − | 1.38196i | 0.484353 | − | 0.124104i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0.805256 | − | 2.47832i | 0.0717379 | − | 0.220786i | ||||
\(127\) | 2.04443 | − | 2.27057i | 0.181414 | − | 0.201480i | −0.645578 | − | 0.763694i | \(-0.723384\pi\) |
0.826992 | + | 0.562214i | \(0.190050\pi\) | |||||||
\(128\) | −0.809017 | − | 0.587785i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | 4.28190 | − | 7.41647i | 0.377001 | − | 0.652984i | ||||
\(130\) | −0.564853 | − | 0.978355i | −0.0495409 | − | 0.0858074i | ||||
\(131\) | 0.469803 | − | 4.46988i | 0.0410469 | − | 0.390535i | −0.954640 | − | 0.297761i | \(-0.903760\pi\) |
0.995687 | − | 0.0927736i | \(-0.0295733\pi\) | |||||||
\(132\) | 3.90040 | − | 2.83380i | 0.339486 | − | 0.246651i | ||||
\(133\) | −1.01159 | − | 9.62467i | −0.0877163 | − | 0.834565i | ||||
\(134\) | 0.342668 | + | 0.380572i | 0.0296020 | + | 0.0328764i | ||||
\(135\) | 0.913545 | − | 0.406737i | 0.0786255 | − | 0.0350063i | ||||
\(136\) | 4.46438 | − | 0.948934i | 0.382818 | − | 0.0813704i | ||||
\(137\) | −11.3480 | − | 2.41208i | −0.969522 | − | 0.206078i | −0.304178 | − | 0.952615i | \(-0.598382\pi\) |
−0.665344 | + | 0.746537i | \(0.731715\pi\) | |||||||
\(138\) | 4.09370 | + | 1.82263i | 0.348479 | + | 0.155153i | ||||
\(139\) | 1.42643 | + | 4.39009i | 0.120988 | + | 0.372363i | 0.993149 | − | 0.116856i | \(-0.0372818\pi\) |
−0.872161 | + | 0.489219i | \(0.837282\pi\) | |||||||
\(140\) | 0.805256 | + | 2.47832i | 0.0680565 | + | 0.209456i | ||||
\(141\) | 4.63128 | + | 2.06198i | 0.390024 | + | 0.173650i | ||||
\(142\) | −10.9613 | − | 2.32989i | −0.919851 | − | 0.195520i | ||||
\(143\) | 5.32747 | − | 1.13239i | 0.445506 | − | 0.0946951i | ||||
\(144\) | 0.913545 | − | 0.406737i | 0.0761288 | − | 0.0338947i | ||||
\(145\) | 0.236720 | + | 0.262904i | 0.0196585 | + | 0.0218330i | ||||
\(146\) | 0.0957783 | + | 0.911270i | 0.00792667 | + | 0.0754172i | ||||
\(147\) | 0.169477 | − | 0.123132i | 0.0139782 | − | 0.0101558i | ||||
\(148\) | −0.517218 | + | 4.92100i | −0.0425150 | + | 0.404504i | ||||
\(149\) | −5.03092 | − | 8.71382i | −0.412149 | − | 0.713864i | 0.582975 | − | 0.812490i | \(-0.301888\pi\) |
−0.995125 | + | 0.0986263i | \(0.968555\pi\) | |||||||
\(150\) | −0.500000 | + | 0.866025i | −0.0408248 | + | 0.0707107i | ||||
\(151\) | 9.19304 | + | 6.67914i | 0.748119 | + | 0.543540i | 0.895243 | − | 0.445578i | \(-0.147002\pi\) |
−0.147124 | + | 0.989118i | \(0.547002\pi\) | |||||||
\(152\) | 2.48503 | − | 2.75990i | 0.201562 | − | 0.223858i | ||||
\(153\) | −1.41039 | + | 4.34074i | −0.114023 | + | 0.350928i | ||||
\(154\) | −12.5633 | −1.01238 | ||||||||
\(155\) | −1.93817 | − | 5.21953i | −0.155678 | − | 0.419243i | ||||
\(156\) | 1.12971 | 0.0904489 | ||||||||
\(157\) | −4.91417 | + | 15.1243i | −0.392193 | + | 1.20705i | 0.538932 | + | 0.842349i | \(0.318828\pi\) |
−0.931126 | + | 0.364698i | \(0.881172\pi\) | |||||||
\(158\) | 5.46402 | − | 6.06840i | 0.434694 | − | 0.482776i | ||||
\(159\) | 5.08268 | + | 3.69278i | 0.403083 | + | 0.292857i | ||||
\(160\) | −0.500000 | + | 0.866025i | −0.0395285 | + | 0.0684653i | ||||
\(161\) | −5.83858 | − | 10.1127i | −0.460145 | − | 0.796994i | ||||
\(162\) | −0.104528 | + | 0.994522i | −0.00821253 | + | 0.0781370i | ||||
\(163\) | −11.6088 | + | 8.43427i | −0.909270 | + | 0.660623i | −0.940830 | − | 0.338879i | \(-0.889952\pi\) |
0.0315604 | + | 0.999502i | \(0.489952\pi\) | |||||||
\(164\) | 0.633133 | + | 6.02386i | 0.0494394 | + | 0.470384i | ||||
\(165\) | −3.22598 | − | 3.58282i | −0.251142 | − | 0.278922i | ||||
\(166\) | 9.00502 | − | 4.00929i | 0.698925 | − | 0.311181i | ||||
\(167\) | −15.5653 | + | 3.30851i | −1.20448 | + | 0.256021i | −0.766072 | − | 0.642755i | \(-0.777792\pi\) |
−0.438410 | + | 0.898775i | \(0.644458\pi\) | |||||||
\(168\) | −2.54892 | − | 0.541789i | −0.196653 | − | 0.0417999i | ||||
\(169\) | −10.7102 | − | 4.76848i | −0.823861 | − | 0.366806i | ||||
\(170\) | −1.41039 | − | 4.34074i | −0.108172 | − | 0.332919i | ||||
\(171\) | 1.14763 | + | 3.53205i | 0.0877616 | + | 0.270102i | ||||
\(172\) | −7.82343 | − | 3.48321i | −0.596531 | − | 0.265593i | ||||
\(173\) | −23.1759 | − | 4.92618i | −1.76203 | − | 0.374531i | −0.790688 | − | 0.612219i | \(-0.790277\pi\) |
−0.971341 | + | 0.237689i | \(0.923610\pi\) | |||||||
\(174\) | −0.346041 | + | 0.0735533i | −0.0262333 | + | 0.00557606i | ||||
\(175\) | 2.38057 | − | 1.05990i | 0.179954 | − | 0.0801209i | ||||
\(176\) | −3.22598 | − | 3.58282i | −0.243168 | − | 0.270065i | ||||
\(177\) | −0.123006 | − | 1.17032i | −0.00924569 | − | 0.0879669i | ||||
\(178\) | 3.79884 | − | 2.76002i | 0.284735 | − | 0.206872i | ||||
\(179\) | −0.765267 | + | 7.28103i | −0.0571987 | + | 0.544210i | 0.927974 | + | 0.372645i | \(0.121549\pi\) |
−0.985173 | + | 0.171565i | \(0.945118\pi\) | |||||||
\(180\) | −0.500000 | − | 0.866025i | −0.0372678 | − | 0.0645497i | ||||
\(181\) | 5.73103 | − | 9.92643i | 0.425984 | − | 0.737826i | −0.570528 | − | 0.821278i | \(-0.693261\pi\) |
0.996512 | + | 0.0834524i | \(0.0265947\pi\) | |||||||
\(182\) | −2.38163 | − | 1.73036i | −0.176538 | − | 0.128263i | ||||
\(183\) | 6.67423 | − | 7.41248i | 0.493373 | − | 0.547947i | ||||
\(184\) | 1.38474 | − | 4.26179i | 0.102084 | − | 0.314184i | ||||
\(185\) | 4.94810 | 0.363792 | ||||||||
\(186\) | 5.48933 | + | 0.931259i | 0.402497 | + | 0.0682832i | ||||
\(187\) | 22.0043 | 1.60912 | ||||||||
\(188\) | 1.56658 | − | 4.82145i | 0.114255 | − | 0.351640i | ||||
\(189\) | 1.74366 | − | 1.93653i | 0.126833 | − | 0.140862i | ||||
\(190\) | −3.00454 | − | 2.18292i | −0.217972 | − | 0.158366i | ||||
\(191\) | 3.00177 | − | 5.19922i | 0.217201 | − | 0.376203i | −0.736750 | − | 0.676165i | \(-0.763641\pi\) |
0.953951 | + | 0.299962i | \(0.0969741\pi\) | |||||||
\(192\) | −0.500000 | − | 0.866025i | −0.0360844 | − | 0.0625000i | ||||
\(193\) | −2.06454 | + | 19.6427i | −0.148609 | + | 1.41392i | 0.625184 | + | 0.780477i | \(0.285024\pi\) |
−0.773793 | + | 0.633439i | \(0.781643\pi\) | |||||||
\(194\) | −14.6203 | + | 10.6223i | −1.04968 | + | 0.762636i | ||||
\(195\) | −0.118087 | − | 1.12352i | −0.00845635 | − | 0.0804568i | ||||
\(196\) | −0.140173 | − | 0.155678i | −0.0100124 | − | 0.0111199i | ||||
\(197\) | −15.7233 | + | 7.00045i | −1.12024 | + | 0.498762i | −0.881434 | − | 0.472307i | \(-0.843422\pi\) |
−0.238803 | + | 0.971068i | \(0.576755\pi\) | |||||||
\(198\) | 4.71580 | − | 1.00237i | 0.335137 | − | 0.0712356i | ||||
\(199\) | 23.0549 | + | 4.90047i | 1.63432 | + | 0.347385i | 0.931431 | − | 0.363917i | \(-0.118561\pi\) |
0.702887 | + | 0.711302i | \(0.251894\pi\) | |||||||
\(200\) | 0.913545 | + | 0.406737i | 0.0645974 | + | 0.0287606i | ||||
\(201\) | 0.158251 | + | 0.487045i | 0.0111621 | + | 0.0343535i | ||||
\(202\) | 2.85681 | + | 8.79234i | 0.201004 | + | 0.618627i | ||||
\(203\) | 0.842180 | + | 0.374963i | 0.0591094 | + | 0.0263172i | ||||
\(204\) | 4.46438 | + | 0.948934i | 0.312569 | + | 0.0664387i | ||||
\(205\) | 5.92468 | − | 1.25933i | 0.413797 | − | 0.0879553i | ||||
\(206\) | 8.14915 | − | 3.62824i | 0.567778 | − | 0.252791i | ||||
\(207\) | 2.99845 | + | 3.33012i | 0.208407 | + | 0.231459i | ||||
\(208\) | −0.118087 | − | 1.12352i | −0.00818783 | − | 0.0779020i | ||||
\(209\) | 14.4853 | − | 10.5242i | 1.00197 | − | 0.727975i | ||||
\(210\) | −0.272387 | + | 2.59159i | −0.0187965 | + | 0.178836i | ||||
\(211\) | 3.14135 | + | 5.44098i | 0.216260 | + | 0.374573i | 0.953662 | − | 0.300882i | \(-0.0972809\pi\) |
−0.737402 | + | 0.675454i | \(0.763948\pi\) | |||||||
\(212\) | 3.14127 | − | 5.44084i | 0.215743 | − | 0.373678i | ||||
\(213\) | −9.06598 | − | 6.58682i | −0.621191 | − | 0.451321i | ||||
\(214\) | −9.49009 | + | 10.5398i | −0.648729 | + | 0.720487i | ||||
\(215\) | −2.64636 | + | 8.14466i | −0.180480 | + | 0.555461i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | −10.1461 | − | 10.3712i | −0.688765 | − | 0.704043i | ||||
\(218\) | 16.4023 | 1.11090 | ||||||||
\(219\) | −0.283149 | + | 0.871443i | −0.0191334 | + | 0.0588867i | ||||
\(220\) | −3.22598 | + | 3.58282i | −0.217496 | + | 0.241553i | ||||
\(221\) | 4.17139 | + | 3.03069i | 0.280598 | + | 0.203866i | ||||
\(222\) | −2.47405 | + | 4.28518i | −0.166048 | + | 0.287603i | ||||
\(223\) | −9.60317 | − | 16.6332i | −0.643076 | − | 1.11384i | −0.984742 | − | 0.174018i | \(-0.944325\pi\) |
0.341667 | − | 0.939821i | \(-0.389009\pi\) | |||||||
\(224\) | −0.272387 | + | 2.59159i | −0.0181996 | + | 0.173158i | ||||
\(225\) | −0.809017 | + | 0.587785i | −0.0539345 | + | 0.0391857i | ||||
\(226\) | −0.0724080 | − | 0.688916i | −0.00481651 | − | 0.0458260i | ||||
\(227\) | −0.914857 | − | 1.01605i | −0.0607212 | − | 0.0674377i | 0.712019 | − | 0.702160i | \(-0.247781\pi\) |
−0.772740 | + | 0.634723i | \(0.781114\pi\) | |||||||
\(228\) | 3.39274 | − | 1.51054i | 0.224690 | − | 0.100038i | ||||
\(229\) | 0.296609 | − | 0.0630462i | 0.0196005 | − | 0.00416621i | −0.198101 | − | 0.980182i | \(-0.563477\pi\) |
0.217702 | + | 0.976015i | \(0.430144\pi\) | |||||||
\(230\) | −4.38319 | − | 0.931676i | −0.289019 | − | 0.0614329i | ||||
\(231\) | −11.4771 | − | 5.10994i | −0.755138 | − | 0.336209i | ||||
\(232\) | 0.109322 | + | 0.336457i | 0.00717731 | + | 0.0220895i | ||||
\(233\) | 4.26854 | + | 13.1372i | 0.279642 | + | 0.860648i | 0.987954 | + | 0.154749i | \(0.0494569\pi\) |
−0.708312 | + | 0.705899i | \(0.750543\pi\) | |||||||
\(234\) | 1.03204 | + | 0.459493i | 0.0674665 | + | 0.0300380i | ||||
\(235\) | −4.95879 | − | 1.05402i | −0.323476 | − | 0.0687569i | ||||
\(236\) | −1.15105 | + | 0.244664i | −0.0749273 | + | 0.0159263i | ||||
\(237\) | 7.45987 | − | 3.32135i | 0.484571 | − | 0.215745i | ||||
\(238\) | −7.95828 | − | 8.83857i | −0.515859 | − | 0.572919i | ||||
\(239\) | −1.94168 | − | 18.4738i | −0.125597 | − | 1.19497i | −0.857835 | − | 0.513925i | \(-0.828191\pi\) |
0.732239 | − | 0.681048i | \(-0.238476\pi\) | |||||||
\(240\) | −0.809017 | + | 0.587785i | −0.0522218 | + | 0.0379414i | ||||
\(241\) | 1.57963 | − | 15.0292i | 0.101753 | − | 0.968114i | −0.817894 | − | 0.575369i | \(-0.804859\pi\) |
0.919647 | − | 0.392746i | \(-0.128475\pi\) | |||||||
\(242\) | −6.12176 | − | 10.6032i | −0.393522 | − | 0.681600i | ||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −8.06952 | − | 5.86285i | −0.516598 | − | 0.375331i | ||||
\(245\) | −0.140173 | + | 0.155678i | −0.00895533 | + | 0.00994590i | ||||
\(246\) | −1.87173 | + | 5.76058i | −0.119337 | + | 0.367281i | ||||
\(247\) | 4.19552 | 0.266955 | ||||||||
\(248\) | 0.352366 | − | 5.55660i | 0.0223753 | − | 0.352845i | ||||
\(249\) | 9.85722 | 0.624676 | ||||||||
\(250\) | 0.309017 | − | 0.951057i | 0.0195440 | − | 0.0601501i | ||||
\(251\) | −8.64519 | + | 9.60145i | −0.545679 | + | 0.606038i | −0.951400 | − | 0.307959i | \(-0.900354\pi\) |
0.405720 | + | 0.913997i | \(0.367021\pi\) | |||||||
\(252\) | −2.10819 | − | 1.53169i | −0.132803 | − | 0.0964872i | ||||
\(253\) | 10.8021 | − | 18.7097i | 0.679121 | − | 1.17627i | ||||
\(254\) | −1.52767 | − | 2.64601i | −0.0958548 | − | 0.166025i | ||||
\(255\) | 0.477080 | − | 4.53912i | 0.0298759 | − | 0.284251i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 0.361744 | + | 3.44176i | 0.0225650 | + | 0.214691i | 0.999994 | + | 0.00342784i | \(0.00109112\pi\) |
−0.977429 | + | 0.211263i | \(0.932242\pi\) | |||||||
\(258\) | −5.73030 | − | 6.36415i | −0.356753 | − | 0.396215i | ||||
\(259\) | 11.7793 | − | 5.24449i | 0.731932 | − | 0.325877i | ||||
\(260\) | −1.10502 | + | 0.234879i | −0.0685304 | + | 0.0145666i | ||||
\(261\) | −0.346041 | − | 0.0735533i | −0.0214194 | − | 0.00455283i | ||||
\(262\) | −4.10593 | − | 1.82808i | −0.253665 | − | 0.112939i | ||||
\(263\) | −4.44752 | − | 13.6881i | −0.274246 | − | 0.844042i | −0.989418 | − | 0.145094i | \(-0.953652\pi\) |
0.715172 | − | 0.698949i | \(-0.246348\pi\) | |||||||
\(264\) | −1.48982 | − | 4.58519i | −0.0916920 | − | 0.282199i | ||||
\(265\) | −5.73938 | − | 2.55534i | −0.352568 | − | 0.156973i | ||||
\(266\) | −9.46620 | − | 2.01210i | −0.580410 | − | 0.123370i | ||||
\(267\) | 4.59301 | − | 0.976275i | 0.281088 | − | 0.0597471i | ||||
\(268\) | 0.467835 | − | 0.208294i | 0.0285776 | − | 0.0127236i | ||||
\(269\) | 8.33596 | + | 9.25802i | 0.508252 | + | 0.564472i | 0.941591 | − | 0.336760i | \(-0.109331\pi\) |
−0.433338 | + | 0.901231i | \(0.642664\pi\) | |||||||
\(270\) | −0.104528 | − | 0.994522i | −0.00636140 | − | 0.0605247i | ||||
\(271\) | −16.0438 | + | 11.6565i | −0.974589 | + | 0.708080i | −0.956493 | − | 0.291756i | \(-0.905761\pi\) |
−0.0180963 | + | 0.999836i | \(0.505761\pi\) | |||||||
\(272\) | 0.477080 | − | 4.53912i | 0.0289273 | − | 0.275224i | ||||
\(273\) | −1.47193 | − | 2.54946i | −0.0890853 | − | 0.154300i | ||||
\(274\) | −5.80074 | + | 10.0472i | −0.350436 | + | 0.606972i | ||||
\(275\) | 3.90040 | + | 2.83380i | 0.235203 | + | 0.170885i | ||||
\(276\) | 2.99845 | − | 3.33012i | 0.180486 | − | 0.200450i | ||||
\(277\) | 2.94446 | − | 9.06211i | 0.176915 | − | 0.544489i | −0.822800 | − | 0.568330i | \(-0.807590\pi\) |
0.999716 | + | 0.0238411i | \(0.00758957\pi\) | |||||||
\(278\) | 4.61602 | 0.276850 | ||||||||
\(279\) | 4.63598 | + | 3.08346i | 0.277549 | + | 0.184602i | ||||
\(280\) | 2.60586 | 0.155730 | ||||||||
\(281\) | 3.41397 | − | 10.5071i | 0.203660 | − | 0.626802i | −0.796106 | − | 0.605158i | \(-0.793110\pi\) |
0.999766 | − | 0.0216438i | \(-0.00688997\pi\) | |||||||
\(282\) | 3.39220 | − | 3.76742i | 0.202003 | − | 0.224347i | ||||
\(283\) | −1.15916 | − | 0.842177i | −0.0689048 | − | 0.0500623i | 0.552800 | − | 0.833314i | \(-0.313559\pi\) |
−0.621704 | + | 0.783252i | \(0.713559\pi\) | |||||||
\(284\) | −5.60308 | + | 9.70483i | −0.332482 | + | 0.575875i | ||||
\(285\) | −1.85691 | − | 3.21626i | −0.109994 | − | 0.190515i | ||||
\(286\) | 0.569313 | − | 5.41665i | 0.0336642 | − | 0.320294i | ||||
\(287\) | 12.7694 | − | 9.27748i | 0.753752 | − | 0.547633i | ||||
\(288\) | −0.104528 | − | 0.994522i | −0.00615940 | − | 0.0586028i | ||||
\(289\) | 2.56357 | + | 2.84713i | 0.150798 | + | 0.167478i | ||||
\(290\) | 0.323187 | − | 0.143892i | 0.0189782 | − | 0.00844963i | ||||
\(291\) | −17.6768 | + | 3.75732i | −1.03623 | + | 0.220258i | ||||
\(292\) | 0.896266 | + | 0.190507i | 0.0524500 | + | 0.0111486i | ||||
\(293\) | 4.70530 | + | 2.09493i | 0.274887 | + | 0.122387i | 0.539550 | − | 0.841953i | \(-0.318594\pi\) |
−0.264664 | + | 0.964341i | \(0.585261\pi\) | |||||||
\(294\) | −0.0647346 | − | 0.199232i | −0.00377540 | − | 0.0116195i | ||||
\(295\) | 0.363642 | + | 1.11917i | 0.0211720 | + | 0.0651609i | ||||
\(296\) | 4.52032 | + | 2.01258i | 0.262738 | + | 0.116979i | ||||
\(297\) | 4.71580 | + | 1.00237i | 0.273639 | + | 0.0581637i | ||||
\(298\) | −9.84197 | + | 2.09198i | −0.570130 | + | 0.121185i | ||||
\(299\) | 4.62469 | − | 2.05904i | 0.267452 | − | 0.119077i | ||||
\(300\) | 0.669131 | + | 0.743145i | 0.0386323 | + | 0.0429055i | ||||
\(301\) | 2.33267 | + | 22.1938i | 0.134453 | + | 1.27923i | ||||
\(302\) | 9.19304 | − | 6.67914i | 0.529000 | − | 0.384341i | ||||
\(303\) | −0.966346 | + | 9.19417i | −0.0555151 | + | 0.528191i | ||||
\(304\) | −1.85691 | − | 3.21626i | −0.106501 | − | 0.184465i | ||||
\(305\) | −4.98724 | + | 8.63815i | −0.285569 | + | 0.494619i | ||||
\(306\) | 3.69245 | + | 2.68272i | 0.211083 | + | 0.153361i | ||||
\(307\) | −15.3715 | + | 17.0718i | −0.877299 | + | 0.974340i | −0.999836 | − | 0.0181245i | \(-0.994230\pi\) |
0.122536 | + | 0.992464i | \(0.460897\pi\) | |||||||
\(308\) | −3.88226 | + | 11.9484i | −0.221212 | + | 0.680822i | ||||
\(309\) | 8.92036 | 0.507462 | ||||||||
\(310\) | −5.56300 | + | 0.230387i | −0.315957 | + | 0.0130851i | ||||
\(311\) | 4.09350 | 0.232121 | 0.116060 | − | 0.993242i | \(-0.462973\pi\) | ||||
0.116060 | + | 0.993242i | \(0.462973\pi\) | |||||||
\(312\) | 0.349099 | − | 1.07442i | 0.0197638 | − | 0.0608268i | ||||
\(313\) | 7.61118 | − | 8.45307i | 0.430209 | − | 0.477796i | −0.488594 | − | 0.872511i | \(-0.662490\pi\) |
0.918804 | + | 0.394715i | \(0.129157\pi\) | |||||||
\(314\) | 12.8655 | + | 9.34731i | 0.726040 | + | 0.527499i | ||||
\(315\) | −1.30293 | + | 2.25674i | −0.0734118 | + | 0.127153i | ||||
\(316\) | −4.08292 | − | 7.07183i | −0.229682 | − | 0.397821i | ||||
\(317\) | 3.30337 | − | 31.4295i | 0.185536 | − | 1.76526i | −0.365535 | − | 0.930798i | \(-0.619114\pi\) |
0.551071 | − | 0.834459i | \(-0.314219\pi\) | |||||||
\(318\) | 5.08268 | − | 3.69278i | 0.285023 | − | 0.207081i | ||||
\(319\) | 0.178283 | + | 1.69625i | 0.00998191 | + | 0.0949715i | ||||
\(320\) | 0.669131 | + | 0.743145i | 0.0374055 | + | 0.0415431i | ||||
\(321\) | −12.9566 | + | 5.76863i | −0.723164 | + | 0.321974i | ||||
\(322\) | −11.4220 | + | 2.42782i | −0.636523 | + | 0.135297i | ||||
\(323\) | 16.5799 | + | 3.52416i | 0.922530 | + | 0.196090i | ||||
\(324\) | 0.913545 | + | 0.406737i | 0.0507525 | + | 0.0225965i | ||||
\(325\) | 0.349099 | + | 1.07442i | 0.0193645 | + | 0.0595978i | ||||
\(326\) | 4.43416 | + | 13.6469i | 0.245585 | + | 0.755834i | ||||
\(327\) | 14.9843 | + | 6.67142i | 0.828631 | + | 0.368930i | ||||
\(328\) | 5.92468 | + | 1.25933i | 0.327135 | + | 0.0695348i | ||||
\(329\) | −12.9219 | + | 2.74664i | −0.712408 | + | 0.151427i | ||||
\(330\) | −4.40434 | + | 1.96094i | −0.242451 | + | 0.107946i | ||||
\(331\) | 9.13229 | + | 10.1424i | 0.501956 | + | 0.557479i | 0.939867 | − | 0.341540i | \(-0.110948\pi\) |
−0.437911 | + | 0.899018i | \(0.644282\pi\) | |||||||
\(332\) | −1.03036 | − | 9.80322i | −0.0565484 | − | 0.538022i | ||||
\(333\) | −4.00310 | + | 2.90842i | −0.219369 | + | 0.159381i | ||||
\(334\) | −1.66337 | + | 15.8259i | −0.0910155 | + | 0.865955i | ||||
\(335\) | −0.256055 | − | 0.443500i | −0.0139898 | − | 0.0242310i | ||||
\(336\) | −1.30293 | + | 2.25674i | −0.0710807 | + | 0.123115i | ||||
\(337\) | −22.8841 | − | 16.6263i | −1.24658 | − | 0.905690i | −0.248558 | − | 0.968617i | \(-0.579957\pi\) |
−0.998018 | + | 0.0629268i | \(0.979957\pi\) | |||||||
\(338\) | −7.84473 | + | 8.71245i | −0.426697 | + | 0.473895i | ||||
\(339\) | 0.214059 | − | 0.658807i | 0.0116261 | − | 0.0357815i | ||||
\(340\) | −4.56412 | −0.247524 | ||||||||
\(341\) | 7.23149 | − | 25.8506i | 0.391607 | − | 1.39989i | ||||
\(342\) | 3.71381 | 0.200820 | ||||||||
\(343\) | −5.80548 | + | 17.8674i | −0.313466 | + | 0.964750i | ||||
\(344\) | −5.73030 | + | 6.36415i | −0.308957 | + | 0.343132i | ||||
\(345\) | −3.62530 | − | 2.63393i | −0.195180 | − | 0.141806i | ||||
\(346\) | −11.8468 | + | 20.5193i | −0.636889 | + | 1.10312i | ||||
\(347\) | 6.18632 | + | 10.7150i | 0.332099 | + | 0.575213i | 0.982923 | − | 0.184016i | \(-0.0589098\pi\) |
−0.650824 | + | 0.759229i | \(0.725576\pi\) | |||||||
\(348\) | −0.0369792 | + | 0.351834i | −0.00198229 | + | 0.0188603i | ||||
\(349\) | −5.57501 | + | 4.05048i | −0.298423 | + | 0.216817i | −0.726913 | − | 0.686729i | \(-0.759046\pi\) |
0.428490 | + | 0.903547i | \(0.359046\pi\) | |||||||
\(350\) | −0.272387 | − | 2.59159i | −0.0145597 | − | 0.138526i | ||||
\(351\) | 0.755921 | + | 0.839536i | 0.0403481 | + | 0.0448111i | ||||
\(352\) | −4.40434 | + | 1.96094i | −0.234752 | + | 0.104518i | ||||
\(353\) | 15.6810 | − | 3.33310i | 0.834614 | − | 0.177403i | 0.229266 | − | 0.973364i | \(-0.426367\pi\) |
0.605348 | + | 0.795961i | \(0.293034\pi\) | |||||||
\(354\) | −1.15105 | − | 0.244664i | −0.0611779 | − | 0.0130038i | ||||
\(355\) | 10.2373 | + | 4.55796i | 0.543342 | + | 0.241911i | ||||
\(356\) | −1.45103 | − | 4.46580i | −0.0769043 | − | 0.236687i | ||||
\(357\) | −3.67528 | − | 11.3114i | −0.194517 | − | 0.598661i | ||||
\(358\) | 6.68819 | + | 2.97777i | 0.353482 | + | 0.157380i | ||||
\(359\) | 20.7981 | + | 4.42077i | 1.09768 | + | 0.233319i | 0.720938 | − | 0.692999i | \(-0.243711\pi\) |
0.376742 | + | 0.926318i | \(0.377044\pi\) | |||||||
\(360\) | −0.978148 | + | 0.207912i | −0.0515529 | + | 0.0109579i | ||||
\(361\) | −4.75737 | + | 2.11812i | −0.250388 | + | 0.111480i | ||||
\(362\) | −7.66961 | − | 8.51797i | −0.403106 | − | 0.447694i | ||||
\(363\) | −1.27980 | − | 12.1765i | −0.0671719 | − | 0.639098i | ||||
\(364\) | −2.38163 | + | 1.73036i | −0.124831 | + | 0.0906954i | ||||
\(365\) | 0.0957783 | − | 0.911270i | 0.00501327 | − | 0.0476980i | ||||
\(366\) | −4.98724 | − | 8.63815i | −0.260687 | − | 0.451523i | ||||
\(367\) | 12.4450 | − | 21.5553i | 0.649623 | − | 1.12518i | −0.333590 | − | 0.942718i | \(-0.608260\pi\) |
0.983213 | − | 0.182461i | \(-0.0584064\pi\) | |||||||
\(368\) | −3.62530 | − | 2.63393i | −0.188982 | − | 0.137303i | ||||
\(369\) | −4.05295 | + | 4.50126i | −0.210988 | + | 0.234326i | ||||
\(370\) | 1.52905 | − | 4.70593i | 0.0794914 | − | 0.244650i | ||||
\(371\) | −16.3714 | −0.849962 | ||||||||
\(372\) | 2.58198 | − | 4.93289i | 0.133869 | − | 0.255758i | ||||
\(373\) | 9.64213 | 0.499250 | 0.249625 | − | 0.968343i | \(-0.419693\pi\) | ||||
0.249625 | + | 0.968343i | \(0.419693\pi\) | |||||||
\(374\) | 6.79971 | − | 20.9274i | 0.351605 | − | 1.08213i | ||||
\(375\) | 0.669131 | − | 0.743145i | 0.0345538 | − | 0.0383758i | ||||
\(376\) | −4.10137 | − | 2.97982i | −0.211512 | − | 0.153672i | ||||
\(377\) | −0.199829 | + | 0.346114i | −0.0102917 | + | 0.0178258i | ||||
\(378\) | −1.30293 | − | 2.25674i | −0.0670155 | − | 0.116074i | ||||
\(379\) | −3.44291 | + | 32.7571i | −0.176851 | + | 1.68262i | 0.441924 | + | 0.897053i | \(0.354296\pi\) |
−0.618774 | + | 0.785569i | \(0.712370\pi\) | |||||||
\(380\) | −3.00454 | + | 2.18292i | −0.154130 | + | 0.111982i | ||||
\(381\) | −0.319371 | − | 3.03861i | −0.0163619 | − | 0.155673i | ||||
\(382\) | −4.01716 | − | 4.46150i | −0.205536 | − | 0.228270i | ||||
\(383\) | −20.2885 | + | 9.03302i | −1.03669 | + | 0.461566i | −0.853271 | − | 0.521468i | \(-0.825385\pi\) |
−0.183423 | + | 0.983034i | \(0.558718\pi\) | |||||||
\(384\) | −0.978148 | + | 0.207912i | −0.0499159 | + | 0.0106099i | ||||
\(385\) | 12.2887 | + | 2.61205i | 0.626291 | + | 0.133122i | ||||
\(386\) | 18.0434 | + | 8.03343i | 0.918384 | + | 0.408891i | ||||
\(387\) | −2.64636 | − | 8.14466i | −0.134522 | − | 0.414016i | ||||
\(388\) | 5.58447 | + | 17.1872i | 0.283509 | + | 0.872550i | ||||
\(389\) | 27.2035 | + | 12.1118i | 1.37927 | + | 0.614093i | 0.956390 | − | 0.292091i | \(-0.0943511\pi\) |
0.422884 | + | 0.906184i | \(0.361018\pi\) | |||||||
\(390\) | −1.10502 | − | 0.234879i | −0.0559549 | − | 0.0118936i | ||||
\(391\) | 20.0054 | − | 4.25228i | 1.01172 | − | 0.215047i | ||||
\(392\) | −0.191374 | + | 0.0852054i | −0.00966587 | + | 0.00430352i | ||||
\(393\) | −3.00741 | − | 3.34006i | −0.151704 | − | 0.168484i | ||||
\(394\) | 1.79907 | + | 17.1170i | 0.0906357 | + | 0.862341i | ||||
\(395\) | −6.60631 | + | 4.79976i | −0.332399 | + | 0.241502i | ||||
\(396\) | 0.503948 | − | 4.79474i | 0.0253243 | − | 0.240945i | ||||
\(397\) | −17.1565 | − | 29.7159i | −0.861058 | − | 1.49140i | −0.870909 | − | 0.491445i | \(-0.836469\pi\) |
0.00985040 | − | 0.999951i | \(-0.496864\pi\) | |||||||
\(398\) | 11.7850 | − | 20.4122i | 0.590728 | − | 1.02317i | ||||
\(399\) | −7.82941 | − | 5.68840i | −0.391961 | − | 0.284776i | ||||
\(400\) | 0.669131 | − | 0.743145i | 0.0334565 | − | 0.0371572i | ||||
\(401\) | −7.50735 | + | 23.1053i | −0.374899 | + | 1.15382i | 0.568647 | + | 0.822581i | \(0.307467\pi\) |
−0.943547 | + | 0.331240i | \(0.892533\pi\) | |||||||
\(402\) | 0.512110 | 0.0255417 | ||||||||
\(403\) | 4.93133 | − | 3.90453i | 0.245647 | − | 0.194499i | ||||
\(404\) | 9.24482 | 0.459947 | ||||||||
\(405\) | 0.309017 | − | 0.951057i | 0.0153552 | − | 0.0472584i | ||||
\(406\) | 0.616858 | − | 0.685091i | 0.0306142 | − | 0.0340005i | ||||
\(407\) | 19.2996 | + | 14.0220i | 0.956644 | + | 0.695043i | ||||
\(408\) | 2.28206 | − | 3.95264i | 0.112979 | − | 0.195685i | ||||
\(409\) | −15.5939 | − | 27.0095i | −0.771071 | − | 1.33553i | −0.936977 | − | 0.349392i | \(-0.886388\pi\) |
0.165906 | − | 0.986142i | \(-0.446945\pi\) | |||||||
\(410\) | 0.633133 | − | 6.02386i | 0.0312682 | − | 0.297497i | ||||
\(411\) | −9.38580 | + | 6.81918i | −0.462967 | + | 0.336365i | ||||
\(412\) | −0.932431 | − | 8.87149i | −0.0459376 | − | 0.437067i | ||||
\(413\) | 2.05189 | + | 2.27885i | 0.100967 | + | 0.112135i | ||||
\(414\) | 4.09370 | − | 1.82263i | 0.201195 | − | 0.0895776i | ||||
\(415\) | −9.64182 | + | 2.04943i | −0.473298 | + | 0.100603i | ||||
\(416\) | −1.10502 | − | 0.234879i | −0.0541781 | − | 0.0115159i | ||||
\(417\) | 4.21694 | + | 1.87750i | 0.206505 | + | 0.0919417i | ||||
\(418\) | −5.53291 | − | 17.0285i | −0.270623 | − | 0.832893i | ||||
\(419\) | 6.56545 | + | 20.2064i | 0.320743 | + | 0.987146i | 0.973326 | + | 0.229428i | \(0.0736856\pi\) |
−0.652583 | + | 0.757718i | \(0.726314\pi\) | |||||||
\(420\) | 2.38057 | + | 1.05990i | 0.116160 | + | 0.0517178i | ||||
\(421\) | 15.5881 | + | 3.31335i | 0.759716 | + | 0.161483i | 0.571452 | − | 0.820636i | \(-0.306381\pi\) |
0.188264 | + | 0.982118i | \(0.439714\pi\) | |||||||
\(422\) | 6.14542 | − | 1.30625i | 0.299154 | − | 0.0635872i | ||||
\(423\) | 4.63128 | − | 2.06198i | 0.225181 | − | 0.100257i | ||||
\(424\) | −4.20384 | − | 4.66884i | −0.204156 | − | 0.226739i | ||||
\(425\) | 0.477080 | + | 4.53912i | 0.0231418 | + | 0.220180i | ||||
\(426\) | −9.06598 | + | 6.58682i | −0.439248 | + | 0.319132i | ||||
\(427\) | −2.71692 | + | 25.8497i | −0.131481 | + | 1.25096i | ||||
\(428\) | 7.09136 | + | 12.2826i | 0.342774 | + | 0.593702i | ||||
\(429\) | 2.72325 | − | 4.71680i | 0.131480 | − | 0.227729i | ||||
\(430\) | 6.92826 | + | 5.03368i | 0.334111 | + | 0.242746i | ||||
\(431\) | 1.23277 | − | 1.36914i | 0.0593807 | − | 0.0659489i | −0.712723 | − | 0.701446i | \(-0.752538\pi\) |
0.772103 | + | 0.635497i | \(0.219205\pi\) | |||||||
\(432\) | 0.309017 | − | 0.951057i | 0.0148676 | − | 0.0457577i | ||||
\(433\) | 3.54171 | 0.170204 | 0.0851018 | − | 0.996372i | \(-0.472878\pi\) | ||||
0.0851018 | + | 0.996372i | \(0.472878\pi\) | |||||||
\(434\) | −12.9989 | + | 6.44467i | −0.623969 | + | 0.309354i | ||||
\(435\) | 0.353772 | 0.0169621 | ||||||||
\(436\) | 5.06859 | − | 15.5995i | 0.242742 | − | 0.747082i | ||||
\(437\) | 11.1357 | − | 12.3674i | 0.532692 | − | 0.591615i | ||||
\(438\) | 0.741294 | + | 0.538581i | 0.0354204 | + | 0.0257344i | ||||
\(439\) | −4.89890 | + | 8.48514i | −0.233812 | + | 0.404974i | −0.958927 | − | 0.283654i | \(-0.908453\pi\) |
0.725115 | + | 0.688628i | \(0.241787\pi\) | |||||||
\(440\) | 2.41058 | + | 4.17524i | 0.114920 | + | 0.199047i | ||||
\(441\) | 0.0218972 | − | 0.208338i | 0.00104272 | − | 0.00992085i | ||||
\(442\) | 4.17139 | − | 3.03069i | 0.198413 | − | 0.144155i | ||||
\(443\) | 2.82817 | + | 26.9083i | 0.134371 | + | 1.27845i | 0.829068 | + | 0.559148i | \(0.188872\pi\) |
−0.694697 | + | 0.719302i | \(0.744462\pi\) | |||||||
\(444\) | 3.31093 | + | 3.67716i | 0.157130 | + | 0.174510i | ||||
\(445\) | −4.28966 | + | 1.90988i | −0.203350 | + | 0.0905371i | ||||
\(446\) | −18.7866 | + | 3.99322i | −0.889573 | + | 0.189085i | ||||
\(447\) | −9.84197 | − | 2.09198i | −0.465509 | − | 0.0989471i | ||||
\(448\) | 2.38057 | + | 1.05990i | 0.112472 | + | 0.0500755i | ||||
\(449\) | −0.564036 | − | 1.73592i | −0.0266185 | − | 0.0819233i | 0.936865 | − | 0.349692i | \(-0.113714\pi\) |
−0.963483 | + | 0.267769i | \(0.913714\pi\) | |||||||
\(450\) | 0.309017 | + | 0.951057i | 0.0145672 | + | 0.0448332i | ||||
\(451\) | 26.6773 | + | 11.8775i | 1.25618 | + | 0.559289i | ||||
\(452\) | −0.677574 | − | 0.144023i | −0.0318704 | − | 0.00677426i | ||||
\(453\) | 11.1149 | − | 2.36255i | 0.522224 | − | 0.111002i | ||||
\(454\) | −1.24903 | + | 0.556104i | −0.0586198 | + | 0.0260992i | ||||
\(455\) | 1.96983 | + | 2.18771i | 0.0923469 | + | 0.102562i | ||||
\(456\) | −0.388199 | − | 3.69347i | −0.0181791 | − | 0.172963i | ||||
\(457\) | −17.4654 | + | 12.6894i | −0.816997 | + | 0.593583i | −0.915851 | − | 0.401519i | \(-0.868482\pi\) |
0.0988539 | + | 0.995102i | \(0.468482\pi\) | |||||||
\(458\) | 0.0316968 | − | 0.301575i | 0.00148109 | − | 0.0140917i | ||||
\(459\) | 2.28206 | + | 3.95264i | 0.106517 | + | 0.184494i | ||||
\(460\) | −2.24056 | + | 3.88076i | −0.104467 | + | 0.180941i | ||||
\(461\) | 15.5873 | + | 11.3249i | 0.725975 | + | 0.527452i | 0.888288 | − | 0.459288i | \(-0.151895\pi\) |
−0.162313 | + | 0.986739i | \(0.551895\pi\) | |||||||
\(462\) | −8.40646 | + | 9.33632i | −0.391104 | + | 0.434365i | ||||
\(463\) | −10.5095 | + | 32.3450i | −0.488419 | + | 1.50320i | 0.338548 | + | 0.940949i | \(0.390064\pi\) |
−0.826967 | + | 0.562251i | \(0.809936\pi\) | |||||||
\(464\) | 0.353772 | 0.0164234 | ||||||||
\(465\) | −5.17576 | − | 2.05220i | −0.240020 | − | 0.0951687i | ||||
\(466\) | 13.8133 | 0.639889 | ||||||||
\(467\) | −11.6064 | + | 35.7207i | −0.537079 | + | 1.65296i | 0.202036 | + | 0.979378i | \(0.435244\pi\) |
−0.739115 | + | 0.673580i | \(0.764756\pi\) | |||||||
\(468\) | 0.755921 | − | 0.839536i | 0.0349425 | − | 0.0388076i | ||||
\(469\) | −1.07962 | − | 0.784392i | −0.0498523 | − | 0.0362198i | ||||
\(470\) | −2.53478 | + | 4.39038i | −0.116921 | + | 0.202513i | ||||
\(471\) | 7.95129 | + | 13.7720i | 0.366376 | + | 0.634582i | ||||
\(472\) | −0.123006 | + | 1.17032i | −0.00566181 | + | 0.0538685i | ||||
\(473\) | −33.4022 | + | 24.2681i | −1.53584 | + | 1.11585i | ||||
\(474\) | −0.853563 | − | 8.12111i | −0.0392054 | − | 0.373015i | ||||
\(475\) | 2.48503 | + | 2.75990i | 0.114021 | + | 0.126633i | ||||
\(476\) | −10.8652 | + | 4.83751i | −0.498007 | + | 0.221727i | ||||
\(477\) | 6.14525 | − | 1.30621i | 0.281372 | − | 0.0598074i | ||||
\(478\) | −18.1697 | − | 3.86208i | −0.831062 | − | 0.176648i | ||||
\(479\) | −18.9195 | − | 8.42349i | −0.864452 | − | 0.384879i | −0.0738943 | − | 0.997266i | \(-0.523543\pi\) |
−0.790558 | + | 0.612387i | \(0.790209\pi\) | |||||||
\(480\) | 0.309017 | + | 0.951057i | 0.0141046 | + | 0.0434096i | ||||
\(481\) | 1.72738 | + | 5.31632i | 0.0787616 | + | 0.242403i | ||||
\(482\) | −13.8055 | − | 6.14659i | −0.628822 | − | 0.279969i | ||||
\(483\) | −11.4220 | − | 2.42782i | −0.519719 | − | 0.110470i | ||||
\(484\) | −11.9760 | + | 2.54557i | −0.544363 | + | 0.115708i | ||||
\(485\) | 16.5093 | − | 7.35044i | 0.749651 | − | 0.333766i | ||||
\(486\) | 0.669131 | + | 0.743145i | 0.0303524 | + | 0.0337097i | ||||
\(487\) | 1.88064 | + | 17.8931i | 0.0852199 | + | 0.810813i | 0.950751 | + | 0.309957i | \(0.100315\pi\) |
−0.865531 | + | 0.500856i | \(0.833019\pi\) | |||||||
\(488\) | −8.06952 | + | 5.86285i | −0.365290 | + | 0.265399i | ||||
\(489\) | −1.49990 | + | 14.2706i | −0.0678280 | + | 0.645340i | ||||
\(490\) | 0.104743 | + | 0.181420i | 0.00473179 | + | 0.00819571i | ||||
\(491\) | −18.2018 | + | 31.5264i | −0.821435 | + | 1.42277i | 0.0831788 | + | 0.996535i | \(0.473493\pi\) |
−0.904614 | + | 0.426232i | \(0.859841\pi\) | |||||||
\(492\) | 4.90025 | + | 3.56024i | 0.220920 | + | 0.160508i | ||||
\(493\) | −1.08042 | + | 1.19992i | −0.0486595 | + | 0.0540419i | ||||
\(494\) | 1.29649 | − | 3.99018i | 0.0583317 | − | 0.179527i | ||||
\(495\) | −4.82115 | −0.216695 | ||||||||
\(496\) | −5.17576 | − | 2.05220i | −0.232398 | − | 0.0921467i | ||||
\(497\) | 29.2017 | 1.30988 | ||||||||
\(498\) | 3.04605 | − | 9.37477i | 0.136497 | − | 0.420094i | ||||
\(499\) | 23.7342 | − | 26.3595i | 1.06249 | − | 1.18001i | 0.0794080 | − | 0.996842i | \(-0.474697\pi\) |
0.983081 | − | 0.183171i | \(-0.0586363\pi\) | |||||||
\(500\) | −0.809017 | − | 0.587785i | −0.0361803 | − | 0.0262866i | ||||
\(501\) | −7.95654 | + | 13.7811i | −0.355472 | + | 0.615695i | ||||
\(502\) | 6.46001 | + | 11.1891i | 0.288324 | + | 0.499393i | ||||
\(503\) | 1.52987 | − | 14.5558i | 0.0682137 | − | 0.649010i | −0.905984 | − | 0.423313i | \(-0.860867\pi\) |
0.974197 | − | 0.225698i | \(-0.0724662\pi\) | |||||||
\(504\) | −2.10819 | + | 1.53169i | −0.0939061 | + | 0.0682268i | ||||
\(505\) | −0.966346 | − | 9.19417i | −0.0430018 | − | 0.409135i | ||||
\(506\) | −14.4560 | − | 16.0550i | −0.642648 | − | 0.713732i | ||||
\(507\) | −10.7102 | + | 4.76848i | −0.475656 | + | 0.211776i | ||||
\(508\) | −2.98858 | + | 0.635243i | −0.132597 | + | 0.0281843i | ||||
\(509\) | 14.1411 | + | 3.00579i | 0.626794 | + | 0.133229i | 0.510348 | − | 0.859968i | \(-0.329516\pi\) |
0.116446 | + | 0.993197i | \(0.462850\pi\) | |||||||
\(510\) | −4.16953 | − | 1.85640i | −0.184630 | − | 0.0822026i | ||||
\(511\) | −0.737847 | − | 2.27086i | −0.0326404 | − | 0.100457i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | 3.39274 | + | 1.51054i | 0.149793 | + | 0.0666922i | ||||
\(514\) | 3.38510 | + | 0.719524i | 0.149310 | + | 0.0317369i | ||||
\(515\) | −8.72543 | + | 1.85465i | −0.384488 | + | 0.0817255i | ||||
\(516\) | −7.82343 | + | 3.48321i | −0.344407 | + | 0.153340i | ||||
\(517\) | −16.3543 | − | 18.1633i | −0.719263 | − | 0.798822i | ||||
\(518\) | −1.34780 | − | 12.8234i | −0.0592188 | − | 0.563430i | ||||
\(519\) | −19.1686 | + | 13.9268i | −0.841406 | + | 0.611317i | ||||
\(520\) | −0.118087 | + | 1.12352i | −0.00517844 | + | 0.0492695i | ||||
\(521\) | 15.1212 | + | 26.1907i | 0.662472 | + | 1.14744i | 0.979964 | + | 0.199174i | \(0.0638260\pi\) |
−0.317492 | + | 0.948261i | \(0.602841\pi\) | |||||||
\(522\) | −0.176886 | + | 0.306375i | −0.00774209 | + | 0.0134097i | ||||
\(523\) | 1.96004 | + | 1.42405i | 0.0857067 | + | 0.0622696i | 0.629813 | − | 0.776746i | \(-0.283131\pi\) |
−0.544107 | + | 0.839016i | \(0.683131\pi\) | |||||||
\(524\) | −3.00741 | + | 3.34006i | −0.131379 | + | 0.145911i | ||||
\(525\) | 0.805256 | − | 2.47832i | 0.0351442 | − | 0.108163i | ||||
\(526\) | −14.3925 | −0.627542 | ||||||||
\(527\) | 22.7674 | − | 11.2877i | 0.991763 | − | 0.491701i | ||||
\(528\) | −4.82115 | −0.209814 | ||||||||
\(529\) | −0.902205 | + | 2.77670i | −0.0392263 | + | 0.120726i | ||||
\(530\) | −4.20384 | + | 4.66884i | −0.182603 | + | 0.202801i | ||||
\(531\) | −0.952027 | − | 0.691688i | −0.0413144 | − | 0.0300167i | ||||
\(532\) | −4.83884 | + | 8.38112i | −0.209790 | + | 0.363368i | ||||
\(533\) | 3.42134 | + | 5.92593i | 0.148195 | + | 0.256681i | ||||
\(534\) | 0.490826 | − | 4.66990i | 0.0212401 | − | 0.202086i | ||||
\(535\) | 11.4741 | − | 8.33639i | 0.496067 | − | 0.360414i | ||||
\(536\) | −0.0535300 | − | 0.509304i | −0.00231215 | − | 0.0219986i | ||||
\(537\) | 4.89879 | + | 5.44066i | 0.211399 | + | 0.234782i | ||||
\(538\) | 11.3809 | − | 5.06708i | 0.490664 | − | 0.218457i | ||||
\(539\) | −0.987891 | + | 0.209983i | −0.0425515 | + | 0.00904460i | ||||
\(540\) | −0.978148 | − | 0.207912i | −0.0420928 | − | 0.00894709i | ||||
\(541\) | −17.3739 | − | 7.73535i | −0.746962 | − | 0.332569i | −0.00228803 | − | 0.999997i | \(-0.500728\pi\) |
−0.744674 | + | 0.667429i | \(0.767395\pi\) | |||||||
\(542\) | 6.12817 | + | 18.8606i | 0.263228 | + | 0.810131i | ||||
\(543\) | −3.54197 | − | 10.9011i | −0.152000 | − | 0.467809i | ||||
\(544\) | −4.16953 | − | 1.85640i | −0.178767 | − | 0.0795923i | ||||
\(545\) | −16.0439 | − | 3.41023i | −0.687244 | − | 0.146078i | ||||
\(546\) | −2.87953 | + | 0.612063i | −0.123232 | + | 0.0261939i | ||||
\(547\) | 32.3052 | − | 14.3832i | 1.38127 | − | 0.614981i | 0.424394 | − | 0.905478i | \(-0.360487\pi\) |
0.956876 | + | 0.290496i | \(0.0938204\pi\) | |||||||
\(548\) | 7.76291 | + | 8.62158i | 0.331615 | + | 0.368296i | ||||
\(549\) | −1.04262 | − | 9.91984i | −0.0444978 | − | 0.423368i | ||||
\(550\) | 3.90040 | − | 2.83380i | 0.166313 | − | 0.120834i | ||||
\(551\) | −0.137334 | + | 1.30665i | −0.00585062 | + | 0.0556650i | ||||
\(552\) | −2.24056 | − | 3.88076i | −0.0953645 | − | 0.165176i | ||||
\(553\) | −10.6395 | + | 18.4282i | −0.452439 | + | 0.783647i | ||||
\(554\) | −7.70869 | − | 5.60069i | −0.327511 | − | 0.237951i | ||||
\(555\) | 3.31093 | − | 3.67716i | 0.140541 | − | 0.156087i | ||||
\(556\) | 1.42643 | − | 4.39009i | 0.0604940 | − | 0.186181i | ||||
\(557\) | 25.3166 | 1.07270 | 0.536349 | − | 0.843996i | \(-0.319803\pi\) | ||||
0.536349 | + | 0.843996i | \(0.319803\pi\) | |||||||
\(558\) | 4.36514 | − | 3.45623i | 0.184791 | − | 0.146314i | ||||
\(559\) | −9.67459 | −0.409192 | ||||||||
\(560\) | 0.805256 | − | 2.47832i | 0.0340283 | − | 0.104728i | ||||
\(561\) | 14.7238 | − | 16.3524i | 0.621638 | − | 0.690399i | ||||
\(562\) | −8.93788 | − | 6.49375i | −0.377022 | − | 0.273922i | ||||
\(563\) | −7.24758 | + | 12.5532i | −0.305449 | + | 0.529053i | −0.977361 | − | 0.211577i | \(-0.932140\pi\) |
0.671912 | + | 0.740631i | \(0.265473\pi\) | |||||||
\(564\) | −2.53478 | − | 4.39038i | −0.106734 | − | 0.184868i | ||||
\(565\) | −0.0724080 | + | 0.688916i | −0.00304623 | + | 0.0289829i | ||||
\(566\) | −1.15916 | + | 0.842177i | −0.0487230 | + | 0.0353994i | ||||
\(567\) | −0.272387 | − | 2.59159i | −0.0114392 | − | 0.108836i | ||||
\(568\) | 7.49839 | + | 8.32780i | 0.314625 | + | 0.349427i | ||||
\(569\) | 9.89017 | − | 4.40339i | 0.414617 | − | 0.184600i | −0.188817 | − | 0.982012i | \(-0.560465\pi\) |
0.603434 | + | 0.797413i | \(0.293799\pi\) | |||||||
\(570\) | −3.63266 | + | 0.772145i | −0.152155 | + | 0.0323416i | ||||
\(571\) | 4.58685 | + | 0.974965i | 0.191954 | + | 0.0408010i | 0.302885 | − | 0.953027i | \(-0.402050\pi\) |
−0.110932 | + | 0.993828i | \(0.535383\pi\) | |||||||
\(572\) | −4.97562 | − | 2.21529i | −0.208041 | − | 0.0926258i | ||||
\(573\) | −1.85520 | − | 5.70971i | −0.0775020 | − | 0.238527i | ||||
\(574\) | −4.87746 | − | 15.0113i | −0.203581 | − | 0.626559i | ||||
\(575\) | 4.09370 | + | 1.82263i | 0.170719 | + | 0.0760091i | ||||
\(576\) | −0.978148 | − | 0.207912i | −0.0407562 | − | 0.00866299i | ||||
\(577\) | −23.8495 | + | 5.06937i | −0.992868 | + | 0.211041i | −0.675579 | − | 0.737288i | \(-0.736106\pi\) |
−0.317290 | + | 0.948329i | \(0.602773\pi\) | |||||||
\(578\) | 3.49997 | − | 1.55829i | 0.145580 | − | 0.0648162i | ||||
\(579\) | 13.2160 | + | 14.6778i | 0.549237 | + | 0.609989i | ||||
\(580\) | −0.0369792 | − | 0.351834i | −0.00153548 | − | 0.0146091i | ||||
\(581\) | −20.7809 | + | 15.0982i | −0.862135 | + | 0.626378i | ||||
\(582\) | −1.88901 | + | 17.9727i | −0.0783020 | + | 0.744994i | ||||
\(583\) | −15.1445 | − | 26.2311i | −0.627223 | − | 1.08638i | ||||
\(584\) | 0.458145 | − | 0.793530i | 0.0189582 | − | 0.0328365i | ||||
\(585\) | −0.913952 | − | 0.664025i | −0.0377873 | − | 0.0274541i | ||||
\(586\) | 3.44642 | − | 3.82764i | 0.142370 | − | 0.158118i | ||||
\(587\) | −8.32859 | + | 25.6328i | −0.343758 | + | 1.05798i | 0.618488 | + | 0.785794i | \(0.287746\pi\) |
−0.962246 | + | 0.272183i | \(0.912254\pi\) | |||||||
\(588\) | −0.209485 | −0.00863903 | ||||||||
\(589\) | 9.58898 | − | 18.3198i | 0.395107 | − | 0.754855i | ||||
\(590\) | 1.17677 | 0.0484468 | ||||||||
\(591\) | −5.31857 | + | 16.3689i | −0.218777 | + | 0.673326i | ||||
\(592\) | 3.31093 | − | 3.67716i | 0.136078 | − | 0.151130i | ||||
\(593\) | 17.0393 | + | 12.3798i | 0.699720 | + | 0.508376i | 0.879841 | − | 0.475268i | \(-0.157649\pi\) |
−0.180121 | + | 0.983644i | \(0.557649\pi\) | |||||||
\(594\) | 2.41058 | − | 4.17524i | 0.0989072 | − | 0.171312i | ||||
\(595\) | 5.94673 | + | 10.3000i | 0.243792 | + | 0.422261i | ||||
\(596\) | −1.05175 | + | 10.0067i | −0.0430813 | + | 0.409892i | ||||
\(597\) | 19.0685 | − | 13.8541i | 0.780421 | − | 0.567009i | ||||
\(598\) | −0.529159 | − | 5.03462i | −0.0216389 | − | 0.205881i | ||||
\(599\) | −14.6245 | − | 16.2422i | −0.597543 | − | 0.663638i | 0.366180 | − | 0.930544i | \(-0.380665\pi\) |
−0.963723 | + | 0.266906i | \(0.913999\pi\) | |||||||
\(600\) | 0.913545 | − | 0.406737i | 0.0372953 | − | 0.0166050i | ||||
\(601\) | 21.2269 | − | 4.51192i | 0.865864 | − | 0.184045i | 0.246494 | − | 0.969144i | \(-0.420721\pi\) |
0.619370 | + | 0.785099i | \(0.287388\pi\) | |||||||
\(602\) | 21.8284 | + | 4.63978i | 0.889660 | + | 0.189103i | ||||
\(603\) | 0.467835 | + | 0.208294i | 0.0190517 | + | 0.00848238i | ||||
\(604\) | −3.51143 | − | 10.8071i | −0.142878 | − | 0.439733i | ||||
\(605\) | 3.78346 | + | 11.6443i | 0.153819 | + | 0.473408i | ||||
\(606\) | 8.44556 | + | 3.76021i | 0.343077 | + | 0.152748i | ||||
\(607\) | −29.5974 | − | 6.29112i | −1.20132 | − | 0.255349i | −0.436568 | − | 0.899671i | \(-0.643806\pi\) |
−0.764754 | + | 0.644322i | \(0.777139\pi\) | |||||||
\(608\) | −3.63266 | + | 0.772145i | −0.147324 | + | 0.0313146i | ||||
\(609\) | 0.842180 | − | 0.374963i | 0.0341268 | − | 0.0151942i | ||||
\(610\) | 6.67423 | + | 7.41248i | 0.270232 | + | 0.300123i | ||||
\(611\) | −0.598648 | − | 5.69575i | −0.0242187 | − | 0.230426i | ||||
\(612\) | 3.69245 | − | 2.68272i | 0.149258 | − | 0.108443i | ||||
\(613\) | 0.589629 | − | 5.60994i | 0.0238149 | − | 0.226584i | −0.976141 | − | 0.217140i | \(-0.930327\pi\) |
0.999955 | − | 0.00944374i | \(-0.00300608\pi\) | |||||||
\(614\) | 11.4862 | + | 19.8947i | 0.463545 | + | 0.802883i | ||||
\(615\) | 3.02852 | − | 5.24555i | 0.122122 | − | 0.211521i | ||||
\(616\) | 10.1639 | + | 7.38450i | 0.409515 | + | 0.297530i | ||||
\(617\) | −3.93686 | + | 4.37233i | −0.158492 | + | 0.176023i | −0.817161 | − | 0.576410i | \(-0.804453\pi\) |
0.658669 | + | 0.752433i | \(0.271120\pi\) | |||||||
\(618\) | 2.75654 | − | 8.48377i | 0.110884 | − | 0.341267i | ||||
\(619\) | 6.21391 | 0.249758 | 0.124879 | − | 0.992172i | \(-0.460146\pi\) | ||||
0.124879 | + | 0.992172i | \(0.460146\pi\) | |||||||
\(620\) | −1.49995 | + | 5.36192i | −0.0602394 | + | 0.215340i | ||||
\(621\) | 4.48112 | 0.179821 | ||||||||
\(622\) | 1.26496 | − | 3.89315i | 0.0507203 | − | 0.156101i | ||||
\(623\) | −8.18758 | + | 9.09323i | −0.328028 | + | 0.364312i | ||||
\(624\) | −0.913952 | − | 0.664025i | −0.0365874 | − | 0.0265823i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −5.68737 | − | 9.85081i | −0.227313 | − | 0.393717i | ||||
\(627\) | 1.87157 | − | 17.8068i | 0.0747432 | − | 0.711134i | ||||
\(628\) | 12.8655 | − | 9.34731i | 0.513388 | − | 0.372998i | ||||
\(629\) | 2.36064 | + | 22.4600i | 0.0941251 | + | 0.895540i | ||||
\(630\) | 1.74366 | + | 1.93653i | 0.0694691 | + | 0.0771533i | ||||
\(631\) | 36.0897 | − | 16.0682i | 1.43671 | − | 0.639663i | 0.467072 | − | 0.884220i | \(-0.345309\pi\) |
0.969635 | + | 0.244557i | \(0.0786424\pi\) | |||||||
\(632\) | −7.98740 | + | 1.69777i | −0.317722 | + | 0.0675338i | ||||
\(633\) | 6.14542 | + | 1.30625i | 0.244258 | + | 0.0519187i | ||||
\(634\) | −28.8704 | − | 12.8539i | −1.14659 | − | 0.510495i | ||||
\(635\) | 0.944155 | + | 2.90581i | 0.0374676 | + | 0.115314i | ||||
\(636\) | −1.94141 | − | 5.97505i | −0.0769820 | − | 0.236926i | ||||
\(637\) | −0.216197 | − | 0.0962571i | −0.00856604 | − | 0.00381385i | ||||
\(638\) | 1.66832 | + | 0.354612i | 0.0660493 | + | 0.0140392i | ||||
\(639\) | −10.9613 | + | 2.32989i | −0.433622 | + | 0.0921691i | ||||
\(640\) | 0.913545 | − | 0.406737i | 0.0361111 | − | 0.0160777i | ||||
\(641\) | −28.8219 | − | 32.0099i | −1.13839 | − | 1.26432i | −0.959890 | − | 0.280377i | \(-0.909541\pi\) |
−0.178505 | − | 0.983939i | \(-0.557126\pi\) | |||||||
\(642\) | 1.48250 | + | 14.1050i | 0.0585095 | + | 0.556681i | ||||
\(643\) | −0.615260 | + | 0.447012i | −0.0242635 | + | 0.0176284i | −0.599851 | − | 0.800112i | \(-0.704773\pi\) |
0.575587 | + | 0.817740i | \(0.304773\pi\) | |||||||
\(644\) | −1.22060 | + | 11.6132i | −0.0480982 | + | 0.457624i | ||||
\(645\) | 4.28190 | + | 7.41647i | 0.168600 | + | 0.292023i | ||||
\(646\) | 8.47515 | − | 14.6794i | 0.333450 | − | 0.577553i | ||||
\(647\) | 37.3799 | + | 27.1581i | 1.46956 | + | 1.06770i | 0.980742 | + | 0.195307i | \(0.0625703\pi\) |
0.488814 | + | 0.872388i | \(0.337430\pi\) | |||||||
\(648\) | 0.669131 | − | 0.743145i | 0.0262859 | − | 0.0291935i | ||||
\(649\) | −1.75317 | + | 5.39571i | −0.0688181 | + | 0.211800i | ||||
\(650\) | 1.12971 | 0.0443107 | ||||||||
\(651\) | −14.4964 | + | 0.600357i | −0.568159 | + | 0.0235299i | ||||
\(652\) | 14.3492 | 0.561960 | ||||||||
\(653\) | 13.7660 | − | 42.3673i | 0.538705 | − | 1.65796i | −0.196801 | − | 0.980443i | \(-0.563055\pi\) |
0.735505 | − | 0.677519i | \(-0.236945\pi\) | |||||||
\(654\) | 10.9753 | − | 12.1893i | 0.429168 | − | 0.476639i | ||||
\(655\) | 3.63612 | + | 2.64180i | 0.142075 | + | 0.103224i | ||||
\(656\) | 3.02852 | − | 5.24555i | 0.118244 | − | 0.204804i | ||||
\(657\) | 0.458145 | + | 0.793530i | 0.0178739 | + | 0.0309585i | ||||
\(658\) | −1.38088 | + | 13.1382i | −0.0538324 | + | 0.512181i | ||||
\(659\) | 8.10498 | − | 5.88862i | 0.315725 | − | 0.229388i | −0.418624 | − | 0.908160i | \(-0.637487\pi\) |
0.734349 | + | 0.678772i | \(0.237487\pi\) | |||||||
\(660\) | 0.503948 | + | 4.79474i | 0.0196161 | + | 0.186635i | ||||
\(661\) | −16.6536 | − | 18.4957i | −0.647750 | − | 0.719400i | 0.326417 | − | 0.945226i | \(-0.394159\pi\) |
−0.974168 | + | 0.225826i | \(0.927492\pi\) | |||||||
\(662\) | 12.4681 | − | 5.55114i | 0.484585 | − | 0.215751i | ||||
\(663\) | 5.04344 | − | 1.07202i | 0.195871 | − | 0.0416337i | ||||
\(664\) | −9.64182 | − | 2.04943i | −0.374175 | − | 0.0795334i | ||||
\(665\) | 8.84100 | + | 3.93627i | 0.342839 | + | 0.152642i | ||||
\(666\) | 1.52905 | + | 4.70593i | 0.0592494 | + | 0.182351i | ||||
\(667\) | 0.489882 | + | 1.50770i | 0.0189683 | + | 0.0583785i | ||||
\(668\) | 14.5373 | + | 6.47243i | 0.562466 | + | 0.250426i | ||||
\(669\) | −18.7866 | − | 3.99322i | −0.726333 | − | 0.154387i | ||||
\(670\) | −0.500919 | + | 0.106474i | −0.0193522 | + | 0.00411343i | ||||
\(671\) | −43.9310 | + | 19.5594i | −1.69594 | + | 0.755081i | ||||
\(672\) | 1.74366 | + | 1.93653i | 0.0672632 | + | 0.0747034i | ||||
\(673\) | 0.669204 | + | 6.36705i | 0.0257959 | + | 0.245432i | 0.999820 | + | 0.0189862i | \(0.00604386\pi\) |
−0.974024 | + | 0.226446i | \(0.927289\pi\) | |||||||
\(674\) | −22.8841 | + | 16.6263i | −0.881462 | + | 0.640420i | ||||
\(675\) | −0.104528 | + | 0.994522i | −0.00402330 | + | 0.0382792i | ||||
\(676\) | 5.86188 | + | 10.1531i | 0.225457 | + | 0.390503i | ||||
\(677\) | −22.8438 | + | 39.5666i | −0.877957 | + | 1.52067i | −0.0243781 | + | 0.999703i | \(0.507761\pi\) |
−0.853579 | + | 0.520963i | \(0.825573\pi\) | |||||||
\(678\) | −0.560415 | − | 0.407165i | −0.0215226 | − | 0.0156371i | ||||
\(679\) | 31.5110 | − | 34.9965i | 1.20928 | − | 1.34304i | ||||
\(680\) | −1.41039 | + | 4.34074i | −0.0540860 | + | 0.166460i | ||||
\(681\) | −1.36723 | −0.0523925 | ||||||||
\(682\) | −22.3508 | − | 14.8658i | −0.855855 | − | 0.569242i | ||||
\(683\) | 5.13667 | 0.196549 | 0.0982747 | − | 0.995159i | \(-0.468668\pi\) | ||||
0.0982747 | + | 0.995159i | \(0.468668\pi\) | |||||||
\(684\) | 1.14763 | − | 3.53205i | 0.0438808 | − | 0.135051i | ||||
\(685\) | 7.76291 | − | 8.62158i | 0.296605 | − | 0.329414i | ||||
\(686\) | 15.1989 | + | 11.0427i | 0.580298 | + | 0.421611i | ||||
\(687\) | 0.151618 | − | 0.262610i | 0.00578458 | − | 0.0100192i | ||||
\(688\) | 4.28190 | + | 7.41647i | 0.163246 | + | 0.282750i | ||||
\(689\) | 0.741883 | − | 7.05855i | 0.0282635 | − | 0.268909i | ||||
\(690\) | −3.62530 | + | 2.63393i | −0.138013 | + | 0.100272i | ||||
\(691\) | −2.87174 | − | 27.3228i | −0.109246 | − | 1.03941i | −0.902551 | − | 0.430582i | \(-0.858308\pi\) |
0.793305 | − | 0.608824i | \(-0.208358\pi\) | |||||||
\(692\) | 15.8541 | + | 17.6078i | 0.602684 | + | 0.669348i | ||||
\(693\) | −11.4771 | + | 5.10994i | −0.435979 | + | 0.194111i | ||||
\(694\) | 12.1023 | − | 2.57242i | 0.459396 | − | 0.0976476i | ||||
\(695\) | −4.51515 | − | 0.959724i | −0.171269 | − | 0.0364044i | ||||
\(696\) | 0.323187 | + | 0.143892i | 0.0122504 | + | 0.00545421i | ||||
\(697\) | 8.54279 | + | 26.2920i | 0.323581 | + | 0.995880i | ||||
\(698\) | 2.12946 | + | 6.55382i | 0.0806014 | + | 0.248066i | ||||
\(699\) | 12.6191 | + | 5.61837i | 0.477297 | + | 0.212506i | ||||
\(700\) | −2.54892 | − | 0.541789i | −0.0963400 | − | 0.0204777i | ||||
\(701\) | −18.8441 | + | 4.00544i | −0.711732 | + | 0.151283i | −0.549530 | − | 0.835474i | \(-0.685193\pi\) |
−0.162203 | + | 0.986757i | \(0.551860\pi\) | |||||||
\(702\) | 1.03204 | − | 0.459493i | 0.0389518 | − | 0.0173425i | ||||
\(703\) | 12.2962 | + | 13.6563i | 0.463759 | + | 0.515056i | ||||
\(704\) | 0.503948 | + | 4.79474i | 0.0189932 | + | 0.180709i | ||||
\(705\) | −4.10137 | + | 2.97982i | −0.154466 | + | 0.112226i | ||||
\(706\) | 1.67573 | − | 15.9435i | 0.0630668 | − | 0.600041i | ||||
\(707\) | −12.0454 | − | 20.8632i | −0.453012 | − | 0.784640i | ||||
\(708\) | −0.588385 | + | 1.01911i | −0.0221129 | + | 0.0383006i | ||||
\(709\) | −1.28489 | − | 0.933528i | −0.0482551 | − | 0.0350594i | 0.563396 | − | 0.826187i | \(-0.309494\pi\) |
−0.611651 | + | 0.791127i | \(0.709494\pi\) | |||||||
\(710\) | 7.49839 | − | 8.32780i | 0.281410 | − | 0.312537i | ||||
\(711\) | 2.52338 | − | 7.76618i | 0.0946343 | − | 0.291254i | ||||
\(712\) | −4.69562 | −0.175976 | ||||||||
\(713\) | 1.57899 | − | 24.8998i | 0.0591338 | − | 0.932504i | ||||
\(714\) | −11.8935 | −0.445102 | ||||||||
\(715\) | −1.68306 | + | 5.17992i | −0.0629428 | + | 0.193718i | ||||
\(716\) | 4.89879 | − | 5.44066i | 0.183077 | − | 0.203327i | ||||
\(717\) | −15.0280 | − | 10.9185i | −0.561230 | − | 0.407757i | ||||
\(718\) | 10.6314 | − | 18.4141i | 0.396759 | − | 0.687206i | ||||
\(719\) | −18.6110 | − | 32.2352i | −0.694073 | − | 1.20217i | −0.970492 | − | 0.241132i | \(-0.922481\pi\) |
0.276420 | − | 0.961037i | \(-0.410852\pi\) | |||||||
\(720\) | −0.104528 | + | 0.994522i | −0.00389555 | + | 0.0370636i | ||||
\(721\) | −18.8058 | + | 13.6632i | −0.700364 | + | 0.508844i | ||||
\(722\) | 0.544341 | + | 5.17906i | 0.0202583 | + | 0.192745i | ||||
\(723\) | −10.1119 | − | 11.2304i | −0.376065 | − | 0.417662i | ||||
\(724\) | −10.4711 | + | 4.66204i | −0.389156 | + | 0.173263i | ||||
\(725\) | −0.346041 | + | 0.0735533i | −0.0128516 | + | 0.00273170i | ||||
\(726\) | −11.9760 | − | 2.54557i | −0.444470 | − | 0.0944751i | ||||
\(727\) | −20.1171 | − | 8.95671i | −0.746102 | − | 0.332186i | −0.00177243 | − | 0.999998i | \(-0.500564\pi\) |
−0.744330 | + | 0.667812i | \(0.767231\pi\) | |||||||
\(728\) | 0.909703 | + | 2.79978i | 0.0337158 | + | 0.103767i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −0.837072 | − | 0.372688i | −0.0309814 | − | 0.0137938i | ||||
\(731\) | −38.2321 | − | 8.12649i | −1.41407 | − | 0.300569i | ||||
\(732\) | −9.75651 | + | 2.07381i | −0.360611 | + | 0.0766503i | ||||
\(733\) | −32.9468 | + | 14.6688i | −1.21692 | + | 0.541806i | −0.911850 | − | 0.410525i | \(-0.865346\pi\) |
−0.305067 | + | 0.952331i | \(0.598679\pi\) | |||||||
\(734\) | −16.6546 | − | 18.4968i | −0.614734 | − | 0.682731i | ||||
\(735\) | 0.0218972 | + | 0.208338i | 0.000807690 | + | 0.00768466i | ||||
\(736\) | −3.62530 | + | 2.63393i | −0.133630 | + | 0.0970881i | ||||
\(737\) | 0.258077 | − | 2.45543i | 0.00950637 | − | 0.0904471i | ||||
\(738\) | 3.02852 | + | 5.24555i | 0.111481 | + | 0.193091i | ||||
\(739\) | 6.83797 | − | 11.8437i | 0.251539 | − | 0.435678i | −0.712411 | − | 0.701763i | \(-0.752397\pi\) |
0.963950 | + | 0.266085i | \(0.0857301\pi\) | |||||||
\(740\) | −4.00310 | − | 2.90842i | −0.147157 | − | 0.106916i | ||||
\(741\) | 2.80735 | − | 3.11788i | 0.103131 | − | 0.114538i | ||||
\(742\) | −5.05905 | + | 15.5702i | −0.185724 | + | 0.571598i | ||||
\(743\) | 12.6434 | 0.463842 | 0.231921 | − | 0.972735i | \(-0.425499\pi\) | ||||
0.231921 | + | 0.972735i | \(0.425499\pi\) | |||||||
\(744\) | −3.89358 | − | 3.97995i | −0.142746 | − | 0.145912i | ||||
\(745\) | 10.0618 | 0.368638 | ||||||||
\(746\) | 2.97958 | − | 9.17021i | 0.109090 | − | 0.335745i | ||||
\(747\) | 6.59577 | − | 7.32534i | 0.241327 | − | 0.268020i | ||||
\(748\) | −17.8019 | − | 12.9338i | −0.650901 | − | 0.472907i | ||||
\(749\) | 18.4791 | − | 32.0067i | 0.675212 | − | 1.16950i | ||||
\(750\) | −0.500000 | − | 0.866025i | −0.0182574 | − | 0.0316228i | ||||
\(751\) | 1.06158 | − | 10.1002i | 0.0387374 | − | 0.368562i | −0.957931 | − | 0.286999i | \(-0.907342\pi\) |
0.996668 | − | 0.0815627i | \(-0.0259911\pi\) | |||||||
\(752\) | −4.10137 | + | 2.97982i | −0.149561 | + | 0.108663i | ||||
\(753\) | 1.35051 | + | 12.8492i | 0.0492153 | + | 0.468253i | ||||
\(754\) | 0.267424 | + | 0.297004i | 0.00973900 | + | 0.0108163i | ||||
\(755\) | −10.3808 | + | 4.62184i | −0.377797 | + | 0.168206i | ||||
\(756\) | −2.54892 | + | 0.541789i | −0.0927032 | + | 0.0197047i | ||||
\(757\) | 9.75364 | + | 2.07320i | 0.354502 | + | 0.0753518i | 0.381721 | − | 0.924278i | \(-0.375332\pi\) |
−0.0272185 | + | 0.999630i | \(0.508665\pi\) | |||||||
\(758\) | 30.0900 | + | 13.3969i | 1.09292 | + | 0.486598i | ||||
\(759\) | −6.67605 | − | 20.5468i | −0.242325 | − | 0.745801i | ||||
\(760\) | 1.14763 | + | 3.53205i | 0.0416290 | + | 0.128121i | ||||
\(761\) | 18.9846 | + | 8.45250i | 0.688192 | + | 0.306403i | 0.720877 | − | 0.693063i | \(-0.243739\pi\) |
−0.0326851 | + | 0.999466i | \(0.510406\pi\) | |||||||
\(762\) | −2.98858 | − | 0.635243i | −0.108265 | − | 0.0230124i | ||||
\(763\) | −41.8081 | + | 8.88659i | −1.51356 | + | 0.321716i | ||||
\(764\) | −5.48451 | + | 2.44186i | −0.198423 | + | 0.0883435i | ||||
\(765\) | −3.05399 | − | 3.39180i | −0.110417 | − | 0.122631i | ||||
\(766\) | 2.32142 | + | 22.0869i | 0.0838765 | + | 0.798031i | ||||
\(767\) | −1.07551 | + | 0.781405i | −0.0388345 | + | 0.0282149i | ||||
\(768\) | −0.104528 | + | 0.994522i | −0.00377185 | + | 0.0358867i | ||||
\(769\) | −18.4829 | − | 32.0134i | −0.666511 | − | 1.15443i | −0.978873 | − | 0.204468i | \(-0.934454\pi\) |
0.312362 | − | 0.949963i | \(-0.398880\pi\) | |||||||
\(770\) | 6.28163 | − | 10.8801i | 0.226374 | − | 0.392092i | ||||
\(771\) | 2.79978 | + | 2.03416i | 0.100832 | + | 0.0732585i | ||||
\(772\) | 13.2160 | − | 14.6778i | 0.475653 | − | 0.528266i | ||||
\(773\) | 1.55010 | − | 4.77072i | 0.0557533 | − | 0.171591i | −0.919302 | − | 0.393553i | \(-0.871246\pi\) |
0.975055 | + | 0.221962i | \(0.0712459\pi\) | |||||||
\(774\) | −8.56381 | −0.307820 | ||||||||
\(775\) | 5.48933 | + | 0.931259i | 0.197183 | + | 0.0334518i | ||||
\(776\) | 18.0717 | 0.648737 | ||||||||
\(777\) | 3.98449 | − | 12.2630i | 0.142943 | − | 0.439933i | ||||
\(778\) | 19.9254 | − | 22.1294i | 0.714359 | − | 0.793376i | ||||
\(779\) | 18.1986 | + | 13.2221i | 0.652032 | + | 0.473729i | ||||
\(780\) | −0.564853 | + | 0.978355i | −0.0202250 | + | 0.0350307i | ||||
\(781\) | 27.0133 | + | 46.7885i | 0.966613 | + | 1.67422i | ||||
\(782\) | 2.13785 | − | 20.3403i | 0.0764495 | − | 0.727368i | ||||
\(783\) | −0.286207 | + | 0.207942i | −0.0102282 | + | 0.00743124i | ||||
\(784\) | 0.0218972 | + | 0.208338i | 0.000782042 | + | 0.00744064i | ||||
\(785\) | −10.6409 | − | 11.8179i | −0.379790 | − | 0.421800i | ||||
\(786\) | −4.10593 | + | 1.82808i | −0.146454 | + | 0.0652053i | ||||
\(787\) | −24.0513 | + | 5.11226i | −0.857336 | + | 0.182232i | −0.615550 | − | 0.788097i | \(-0.711066\pi\) |
−0.241785 | + | 0.970330i | \(0.577733\pi\) | |||||||
\(788\) | 16.8352 | + | 3.57842i | 0.599728 | + | 0.127476i | ||||
\(789\) | −13.1482 | − | 5.85395i | −0.468088 | − | 0.208406i | ||||
\(790\) | 2.52338 | + | 7.76618i | 0.0897780 | + | 0.276308i | ||||
\(791\) | 0.557809 | + | 1.71676i | 0.0198334 | + | 0.0610410i | ||||
\(792\) | −4.40434 | − | 1.96094i | −0.156502 | − | 0.0696790i | ||||
\(793\) | −11.0220 | − | 2.34280i | −0.391403 | − | 0.0831952i | ||||
\(794\) | −33.5631 | + | 7.13406i | −1.19111 | + | 0.253178i | ||||
\(795\) | −5.73938 | + | 2.55534i | −0.203555 | + | 0.0906285i | ||||
\(796\) | −15.7714 | − | 17.5159i | −0.559002 | − | 0.620834i | ||||
\(797\) | 4.56382 | + | 43.4218i | 0.161659 | + | 1.53808i | 0.711426 | + | 0.702761i | \(0.248050\pi\) |
−0.549767 | + | 0.835318i | \(0.685284\pi\) | |||||||
\(798\) | −7.82941 | + | 5.68840i | −0.277158 | + | 0.201367i | ||||
\(799\) | 2.41859 | − | 23.0114i | 0.0855636 | − | 0.814084i | ||||
\(800\) | −0.500000 | − | 0.866025i | −0.0176777 | − | 0.0306186i | ||||
\(801\) | 2.34781 | − | 4.06653i | 0.0829558 | − | 0.143684i | ||||
\(802\) | 19.6545 | + | 14.2798i | 0.694025 | + | 0.504238i | ||||
\(803\) | 2.95593 | − | 3.28290i | 0.104313 | − | 0.115851i | ||||
\(804\) | 0.158251 | − | 0.487045i | 0.00558107 | − | 0.0171768i | ||||
\(805\) | 11.6772 | 0.411566 | ||||||||
\(806\) | −2.18957 | − | 5.89654i | −0.0771242 | − | 0.207697i | ||||
\(807\) | 12.4579 | 0.438539 | ||||||||
\(808\) | 2.85681 | − | 8.79234i | 0.100502 | − | 0.309314i | ||||
\(809\) | 24.0800 | − | 26.7436i | 0.846609 | − | 0.940254i | −0.152234 | − | 0.988344i | \(-0.548647\pi\) |
0.998843 | + | 0.0480904i | \(0.0153135\pi\) | |||||||
\(810\) | −0.809017 | − | 0.587785i | −0.0284260 | − | 0.0206527i | ||||
\(811\) | −9.46077 | + | 16.3865i | −0.332212 | + | 0.575409i | −0.982945 | − | 0.183898i | \(-0.941128\pi\) |
0.650733 | + | 0.759307i | \(0.274462\pi\) | |||||||
\(812\) | −0.460940 | − | 0.798372i | −0.0161758 | − | 0.0280174i | ||||
\(813\) | −2.07292 | + | 19.7225i | −0.0727006 | + | 0.691700i | ||||
\(814\) | 19.2996 | − | 14.0220i | 0.676449 | − | 0.491469i | ||||
\(815\) | −1.49990 | − | 14.2706i | −0.0525393 | − | 0.499878i | ||||
\(816\) | −3.05399 | − | 3.39180i | −0.106911 | − | 0.118737i | ||||
\(817\) | −29.0547 | + | 12.9360i | −1.01650 | + | 0.452574i | ||||
\(818\) | −30.5064 | + | 6.48432i | −1.06663 | + | 0.226719i | ||||
\(819\) | −2.87953 | − | 0.612063i | −0.100619 | − | 0.0213872i | ||||
\(820\) | −5.53338 | − | 2.46362i | −0.193234 | − | 0.0860333i | ||||
\(821\) | −12.6447 | − | 38.9165i | −0.441304 | − | 1.35819i | −0.886487 | − | 0.462754i | \(-0.846861\pi\) |
0.445183 | − | 0.895440i | \(-0.353139\pi\) | |||||||
\(822\) | 3.58506 | + | 11.0337i | 0.125043 | + | 0.384843i | ||||
\(823\) | 12.7367 | + | 5.67075i | 0.443974 | + | 0.197670i | 0.616533 | − | 0.787329i | \(-0.288537\pi\) |
−0.172559 | + | 0.984999i | \(0.555203\pi\) | |||||||
\(824\) | −8.72543 | − | 1.85465i | −0.303965 | − | 0.0646097i | ||||
\(825\) | 4.71580 | − | 1.00237i | 0.164183 | − | 0.0348982i | ||||
\(826\) | 2.80139 | − | 1.24726i | 0.0974727 | − | 0.0433976i | ||||
\(827\) | −37.6979 | − | 41.8677i | −1.31088 | − | 1.45588i | −0.804990 | − | 0.593288i | \(-0.797830\pi\) |
−0.505894 | − | 0.862596i | \(-0.668837\pi\) | |||||||
\(828\) | −0.468404 | − | 4.45657i | −0.0162782 | − | 0.154876i | ||||
\(829\) | −34.0634 | + | 24.7485i | −1.18307 | + | 0.859552i | −0.992515 | − | 0.122125i | \(-0.961029\pi\) |
−0.190557 | + | 0.981676i | \(0.561029\pi\) | |||||||
\(830\) | −1.03036 | + | 9.80322i | −0.0357643 | + | 0.340275i | ||||
\(831\) | −4.76423 | − | 8.25189i | −0.165269 | − | 0.286255i | ||||
\(832\) | −0.564853 | + | 0.978355i | −0.0195828 | + | 0.0339184i | ||||
\(833\) | −0.773515 | − | 0.561991i | −0.0268007 | − | 0.0194718i | ||||
\(834\) | 3.08872 | − | 3.43037i | 0.106954 | − | 0.118784i | ||||
\(835\) | 4.91741 | − | 15.1342i | 0.170174 | − | 0.523742i | ||||
\(836\) | −17.9049 | −0.619253 | ||||||||
\(837\) | 5.39353 | − | 1.38196i | 0.186428 | − | 0.0477677i | ||||
\(838\) | 21.2462 | 0.733939 | ||||||||
\(839\) | 0.482967 | − | 1.48642i | 0.0166739 | − | 0.0513169i | −0.942373 | − | 0.334563i | \(-0.891411\pi\) |
0.959047 | + | 0.283246i | \(0.0914113\pi\) | |||||||
\(840\) | 1.74366 | − | 1.93653i | 0.0601620 | − | 0.0668167i | ||||
\(841\) | 23.3602 | + | 16.9722i | 0.805526 | + | 0.585249i | ||||
\(842\) | 7.96816 | − | 13.8013i | 0.274601 | − | 0.475623i | ||||
\(843\) | −5.52391 | − | 9.56770i | −0.190254 | − | 0.329529i | ||||
\(844\) | 0.656722 | − | 6.24829i | 0.0226053 | − | 0.215075i | ||||
\(845\) | 9.48472 | − | 6.89105i | 0.326284 | − | 0.237059i | ||||
\(846\) | −0.529914 | − | 5.04180i | −0.0182188 | − | 0.173341i | ||||
\(847\) | 21.3486 | + | 23.7100i | 0.733546 | + | 0.814685i | ||||
\(848\) | −5.73938 | + | 2.55534i | −0.197091 | + | 0.0877507i | ||||
\(849\) | −1.40149 | + | 0.297895i | −0.0480989 | + | 0.0102237i | ||||
\(850\) | 4.46438 | + | 0.948934i | 0.153127 | + | 0.0325482i | ||||
\(851\) | 20.2561 | + | 9.01859i | 0.694369 | + | 0.309153i | ||||
\(852\) | 3.46290 | + | 10.6577i | 0.118637 | + | 0.365127i | ||||
\(853\) | −9.26921 | − | 28.5277i | −0.317372 | − | 0.976770i | −0.974767 | − | 0.223224i | \(-0.928342\pi\) |
0.657396 | − | 0.753546i | \(-0.271658\pi\) | |||||||
\(854\) | 23.7450 | + | 10.5719i | 0.812536 | + | 0.361765i | ||||
\(855\) | −3.63266 | − | 0.772145i | −0.124234 | − | 0.0264068i | ||||
\(856\) | 13.8728 | − | 2.94875i | 0.474162 | − | 0.100786i | ||||
\(857\) | −9.89198 | + | 4.40419i | −0.337904 | + | 0.150444i | −0.568672 | − | 0.822564i | \(-0.692543\pi\) |
0.230768 | + | 0.973009i | \(0.425876\pi\) | |||||||
\(858\) | −3.64441 | − | 4.04753i | −0.124418 | − | 0.138180i | ||||
\(859\) | −0.569722 | − | 5.42055i | −0.0194387 | − | 0.184947i | 0.980494 | − | 0.196549i | \(-0.0629735\pi\) |
−0.999933 | + | 0.0116023i | \(0.996307\pi\) | |||||||
\(860\) | 6.92826 | − | 5.03368i | 0.236252 | − | 0.171647i | ||||
\(861\) | 1.64986 | − | 15.6973i | 0.0562269 | − | 0.534964i | ||||
\(862\) | −0.921176 | − | 1.59552i | −0.0313754 | − | 0.0543438i | ||||
\(863\) | 4.86548 | − | 8.42726i | 0.165623 | − | 0.286867i | −0.771253 | − | 0.636528i | \(-0.780370\pi\) |
0.936876 | + | 0.349661i | \(0.113703\pi\) | |||||||
\(864\) | −0.809017 | − | 0.587785i | −0.0275233 | − | 0.0199969i | ||||
\(865\) | 15.8541 | − | 17.6078i | 0.539057 | − | 0.598683i | ||||
\(866\) | 1.09445 | − | 3.36837i | 0.0371909 | − | 0.114462i | ||||
\(867\) | 3.83120 | 0.130114 | ||||||||
\(868\) | 2.11235 | + | 14.3542i | 0.0716980 | + | 0.487214i | ||||
\(869\) | −39.3688 | −1.33549 | ||||||||
\(870\) | 0.109322 | − | 0.336457i | 0.00370635 | − | 0.0114070i | ||||
\(871\) | 0.387115 | − | 0.429934i | 0.0131169 | − | 0.0145678i | ||||
\(872\) | −13.2697 | − | 9.64103i | −0.449370 | − | 0.326487i | ||||
\(873\) | −9.03587 | + | 15.6506i | −0.305818 | + | 0.529692i | ||||
\(874\) | −8.32102 | − | 14.4124i | −0.281463 | − | 0.487507i | ||||
\(875\) | −0.272387 | + | 2.59159i | −0.00920835 | + | 0.0876116i | ||||
\(876\) | 0.741294 | − | 0.538581i | 0.0250460 | − | 0.0181970i | ||||
\(877\) | 0.927287 | + | 8.82254i | 0.0313122 | + | 0.297916i | 0.998959 | + | 0.0456087i | \(0.0145227\pi\) |
−0.967647 | + | 0.252307i | \(0.918811\pi\) | |||||||
\(878\) | 6.55601 | + | 7.28118i | 0.221254 | + | 0.245728i | ||||
\(879\) | 4.70530 | − | 2.09493i | 0.158706 | − | 0.0706604i | ||||
\(880\) | 4.71580 | − | 1.00237i | 0.158970 | − | 0.0337900i | ||||
\(881\) | 10.6939 | + | 2.27306i | 0.360287 | + | 0.0765813i | 0.384499 | − | 0.923126i | \(-0.374374\pi\) |
−0.0242120 | + | 0.999707i | \(0.507708\pi\) | |||||||
\(882\) | −0.191374 | − | 0.0852054i | −0.00644391 | − | 0.00286901i | ||||
\(883\) | −13.8043 | − | 42.4854i | −0.464553 | − | 1.42975i | −0.859544 | − | 0.511062i | \(-0.829252\pi\) |
0.394991 | − | 0.918685i | \(-0.370748\pi\) | |||||||
\(884\) | −1.59333 | − | 4.90376i | −0.0535894 | − | 0.164931i | ||||
\(885\) | 1.07503 | + | 0.478635i | 0.0361368 | + | 0.0160892i | ||||
\(886\) | 26.4652 | + | 5.62536i | 0.889117 | + | 0.188988i | ||||
\(887\) | 35.6228 | − | 7.57186i | 1.19610 | − | 0.254238i | 0.433525 | − | 0.901142i | \(-0.357270\pi\) |
0.762572 | + | 0.646904i | \(0.223936\pi\) | |||||||
\(888\) | 4.52032 | − | 2.01258i | 0.151692 | − | 0.0675376i | ||||
\(889\) | 5.32750 | + | 5.91678i | 0.178678 | + | 0.198443i | ||||
\(890\) | 0.490826 | + | 4.66990i | 0.0164525 | + | 0.156535i | ||||
\(891\) | 3.90040 | − | 2.83380i | 0.130668 | − | 0.0949360i | ||||
\(892\) | −2.00761 | + | 19.1011i | −0.0672197 | + | 0.639553i | ||||
\(893\) | −9.41372 | − | 16.3050i | −0.315018 | − | 0.545627i | ||||
\(894\) | −5.03092 | + | 8.71382i | −0.168259 | + | 0.291434i | ||||
\(895\) | −5.92292 | − | 4.30325i | −0.197981 | − | 0.143842i | ||||
\(896\) | 1.74366 | − | 1.93653i | 0.0582517 | − | 0.0646950i | ||||
\(897\) | 1.56435 | − | 4.81458i | 0.0522322 | − | 0.160754i | ||||
\(898\) | −1.82526 | −0.0609096 | ||||||||
\(899\) | 1.05460 | + | 1.66361i | 0.0351729 | + | 0.0554846i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | 8.86083 | − | 27.2708i | 0.295197 | − | 0.908524i | ||||
\(902\) | 19.5399 | − | 21.7012i | 0.650607 | − | 0.722572i | ||||
\(903\) | 18.0541 | + | 13.1171i | 0.600803 | + | 0.436509i | ||||
\(904\) | −0.346355 | + | 0.599905i | −0.0115196 | + | 0.0199526i | ||||
\(905\) | 5.73103 | + | 9.92643i | 0.190506 | + | 0.329966i | ||||
\(906\) | 1.18778 | − | 11.3010i | 0.0394614 | − | 0.375450i | ||||
\(907\) | 37.1958 | − | 27.0244i | 1.23507 | − | 0.897329i | 0.237808 | − | 0.971312i | \(-0.423571\pi\) |
0.997259 | + | 0.0739834i | \(0.0235712\pi\) | |||||||
\(908\) | 0.142915 | + | 1.35974i | 0.00474279 | + | 0.0451246i | ||||
\(909\) | 6.18599 | + | 6.87024i | 0.205176 | + | 0.227871i | ||||
\(910\) | 2.68935 | − | 1.19738i | 0.0891511 | − | 0.0396926i | ||||
\(911\) | 4.45927 | − | 0.947846i | 0.147742 | − | 0.0314035i | −0.133447 | − | 0.991056i | \(-0.542605\pi\) |
0.281189 | + | 0.959652i | \(0.409271\pi\) | |||||||
\(912\) | −3.63266 | − | 0.772145i | −0.120289 | − | 0.0255683i | ||||
\(913\) | −43.4146 | − | 19.3294i | −1.43681 | − | 0.639710i | ||||
\(914\) | 6.67119 | + | 20.5318i | 0.220663 | + | 0.679132i | ||||
\(915\) | 3.08228 | + | 9.48629i | 0.101897 | + | 0.313607i | ||||
\(916\) | −0.277020 | − | 0.123337i | −0.00915298 | − | 0.00407517i | ||||
\(917\) | 11.4561 | + | 2.43507i | 0.378314 | + | 0.0804131i | ||||
\(918\) | 4.46438 | − | 0.948934i | 0.147347 | − | 0.0313195i | ||||
\(919\) | −22.5371 | + | 10.0342i | −0.743430 | + | 0.330997i | −0.743259 | − | 0.669003i | \(-0.766721\pi\) |
−0.000171105 | 1.00000i | \(0.500054\pi\) | ||||||||
\(920\) | 2.99845 | + | 3.33012i | 0.0988560 | + | 0.109791i | ||||
\(921\) | 2.40127 | + | 22.8465i | 0.0791245 | + | 0.752819i | ||||
\(922\) | 15.5873 | − | 11.3249i | 0.513342 | − | 0.372965i | ||||
\(923\) | −1.32330 | + | 12.5903i | −0.0435569 | + | 0.414416i | ||||
\(924\) | 6.28163 | + | 10.8801i | 0.206650 | + | 0.357929i | ||||
\(925\) | −2.47405 | + | 4.28518i | −0.0813463 | + | 0.140896i | ||||
\(926\) | 27.5143 | + | 19.9903i | 0.904176 | + | 0.656922i | ||||
\(927\) | 5.96889 | − | 6.62912i | 0.196044 | − | 0.217729i | ||||
\(928\) | 0.109322 | − | 0.336457i | 0.00358865 | − | 0.0110447i | ||||
\(929\) | 13.1860 | 0.432620 | 0.216310 | − | 0.976325i | \(-0.430598\pi\) | ||||
0.216310 | + | 0.976325i | \(0.430598\pi\) | |||||||
\(930\) | −3.55116 | + | 4.28827i | −0.116447 | + | 0.140618i | ||||
\(931\) | −0.777990 | −0.0254976 | ||||||||
\(932\) | 4.26854 | − | 13.1372i | 0.139821 | − | 0.430324i | ||||
\(933\) | 2.73908 | − | 3.04206i | 0.0896736 | − | 0.0995926i | ||||
\(934\) | 30.3859 | + | 22.0766i | 0.994256 | + | 0.722369i | ||||
\(935\) | −11.0022 | + | 19.0563i | −0.359809 | + | 0.623208i | ||||
\(936\) | −0.564853 | − | 0.978355i | −0.0184628 | − | 0.0319785i | ||||
\(937\) | 1.61039 | − | 15.3219i | 0.0526092 | − | 0.500543i | −0.936212 | − | 0.351436i | \(-0.885693\pi\) |
0.988821 | − | 0.149107i | \(-0.0476399\pi\) | |||||||
\(938\) | −1.07962 | + | 0.784392i | −0.0352509 | + | 0.0256113i | ||||
\(939\) | −1.18898 | − | 11.3124i | −0.0388010 | − | 0.369167i | ||||
\(940\) | 3.39220 | + | 3.76742i | 0.110641 | + | 0.122880i | ||||
\(941\) | 34.9900 | − | 15.5785i | 1.14064 | − | 0.507846i | 0.252581 | − | 0.967576i | \(-0.418720\pi\) |
0.888059 | + | 0.459730i | \(0.152054\pi\) | |||||||
\(942\) | 15.5551 | − | 3.30633i | 0.506812 | − | 0.107726i | ||||
\(943\) | 26.5492 | + | 5.64320i | 0.864560 | + | 0.183768i | ||||
\(944\) | 1.07503 | + | 0.478635i | 0.0349893 | + | 0.0155783i | ||||
\(945\) | 0.805256 | + | 2.47832i | 0.0261950 | + | 0.0806198i | ||||
\(946\) | 12.7585 | + | 39.2667i | 0.414815 | + | 1.27667i | ||||
\(947\) | 38.1510 | + | 16.9859i | 1.23974 | + | 0.551969i | 0.918647 | − | 0.395079i | \(-0.129283\pi\) |
0.321094 | + | 0.947047i | \(0.395949\pi\) | |||||||
\(948\) | −7.98740 | − | 1.69777i | −0.259419 | − | 0.0551411i | ||||
\(949\) | 1.01252 | − | 0.215217i | 0.0328677 | − | 0.00698625i | ||||
\(950\) | 3.39274 | − | 1.51054i | 0.110075 | − | 0.0490085i | ||||
\(951\) | −21.1463 | − | 23.4853i | −0.685715 | − | 0.761564i | ||||
\(952\) | 1.24321 | + | 11.8283i | 0.0402925 | + | 0.383358i | ||||
\(953\) | 18.8255 | − | 13.6775i | 0.609818 | − | 0.443059i | −0.239532 | − | 0.970888i | \(-0.576994\pi\) |
0.849350 | + | 0.527830i | \(0.176994\pi\) | |||||||
\(954\) | 0.656704 | − | 6.24812i | 0.0212616 | − | 0.202290i | ||||
\(955\) | 3.00177 | + | 5.19922i | 0.0971351 | + | 0.168243i | ||||
\(956\) | −9.28780 | + | 16.0869i | −0.300389 | + | 0.520289i | ||||
\(957\) | 1.37985 | + | 1.00252i | 0.0446042 | + | 0.0324069i | ||||
\(958\) | −13.8576 | + | 15.3905i | −0.447720 | + | 0.497244i | ||||
\(959\) | 9.34216 | − | 28.7522i | 0.301674 | − | 0.928457i | ||||
\(960\) | 1.00000 | 0.0322749 | ||||||||
\(961\) | −5.77853 | − | 30.4567i | −0.186404 | − | 0.982473i | ||||
\(962\) | 5.58991 | 0.180226 | ||||||||
\(963\) | −4.38270 | + | 13.4886i | −0.141231 | + | 0.434663i | ||||
\(964\) | −10.1119 | + | 11.2304i | −0.325682 | + | 0.361706i | ||||
\(965\) | −15.9789 | − | 11.6093i | −0.514377 | − | 0.373717i | ||||
\(966\) | −5.83858 | + | 10.1127i | −0.187853 | + | 0.325372i | ||||
\(967\) | −8.48056 | − | 14.6888i | −0.272716 | − | 0.472359i | 0.696840 | − | 0.717227i | \(-0.254589\pi\) |
−0.969556 | + | 0.244868i | \(0.921255\pi\) | |||||||
\(968\) | −1.27980 | + | 12.1765i | −0.0411342 | + | 0.391366i | ||||
\(969\) | 13.7131 | − | 9.96313i | 0.440527 | − | 0.320062i | ||||
\(970\) | −1.88901 | − | 17.9727i | −0.0606525 | − | 0.577070i | ||||
\(971\) | −28.0482 | − | 31.1507i | −0.900110 | − | 0.999674i | −0.999989 | − | 0.00467401i | \(-0.998512\pi\) |
0.0998789 | − | 0.995000i | \(-0.468154\pi\) | |||||||
\(972\) | 0.913545 | − | 0.406737i | 0.0293020 | − | 0.0130461i | ||||
\(973\) | −11.7658 | + | 2.50091i | −0.377196 | + | 0.0801754i | ||||
\(974\) | 17.5985 | + | 3.74067i | 0.563892 | + | 0.119859i | ||||
\(975\) | 1.03204 | + | 0.459493i | 0.0330517 | + | 0.0147156i | ||||
\(976\) | 3.08228 | + | 9.48629i | 0.0986615 | + | 0.303649i | ||||
\(977\) | 12.4103 | + | 38.1951i | 0.397042 | + | 1.22197i | 0.927360 | + | 0.374170i | \(0.122072\pi\) |
−0.530319 | + | 0.847798i | \(0.677928\pi\) | |||||||
\(978\) | 13.1087 | + | 5.83636i | 0.419169 | + | 0.186626i | ||||
\(979\) | −22.1436 | − | 4.70677i | −0.707713 | − | 0.150429i | ||||
\(980\) | 0.204908 | − | 0.0435545i | 0.00654553 | − | 0.00139130i | ||||
\(981\) | 14.9843 | − | 6.67142i | 0.478410 | − | 0.213002i | ||||
\(982\) | 24.3587 | + | 27.0531i | 0.777319 | + | 0.863300i | ||||
\(983\) | 0.977753 | + | 9.30270i | 0.0311855 | + | 0.296710i | 0.998987 | + | 0.0449960i | \(0.0143275\pi\) |
−0.967802 | + | 0.251714i | \(0.919006\pi\) | |||||||
\(984\) | 4.90025 | − | 3.56024i | 0.156214 | − | 0.113496i | ||||
\(985\) | 1.79907 | − | 17.1170i | 0.0573230 | − | 0.545392i | ||||
\(986\) | 0.807329 | + | 1.39833i | 0.0257106 | + | 0.0445320i | ||||
\(987\) | −6.60530 | + | 11.4407i | −0.210249 | + | 0.364162i | ||||
\(988\) | −3.39425 | − | 2.46607i | −0.107985 | − | 0.0784560i | ||||
\(989\) | −25.6782 | + | 28.5185i | −0.816518 | + | 0.906835i | ||||
\(990\) | −1.48982 | + | 4.58519i | −0.0473495 | + | 0.145727i | ||||
\(991\) | −5.81947 | −0.184862 | −0.0924308 | − | 0.995719i | \(-0.529464\pi\) | ||||
−0.0924308 | + | 0.995719i | \(0.529464\pi\) | |||||||
\(992\) | −3.55116 | + | 4.28827i | −0.112749 | + | 0.136153i | ||||
\(993\) | 13.6480 | 0.433106 | ||||||||
\(994\) | 9.02383 | − | 27.7725i | 0.286218 | − | 0.880890i | ||||
\(995\) | −15.7714 | + | 17.5159i | −0.499986 | + | 0.555291i | ||||
\(996\) | −7.97466 | − | 5.79393i | −0.252687 | − | 0.183588i | ||||
\(997\) | 12.3357 | − | 21.3661i | 0.390676 | − | 0.676670i | −0.601863 | − | 0.798599i | \(-0.705575\pi\) |
0.992539 | + | 0.121929i | \(0.0389080\pi\) | |||||||
\(998\) | −17.7351 | − | 30.7181i | −0.561395 | − | 0.972365i | ||||
\(999\) | −0.517218 | + | 4.92100i | −0.0163640 | + | 0.155694i |
(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.bg.g.541.1 | yes | 24 | |
31.20 | even | 15 | inner | 930.2.bg.g.361.1 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.g.361.1 | ✓ | 24 | 31.20 | even | 15 | inner | |
930.2.bg.g.541.1 | yes | 24 | 1.1 | even | 1 | trivial |