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: | \(16\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{15})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 21x^{14} + 167x^{12} + 653x^{10} + 1350x^{8} + 1472x^{6} + 777x^{4} + 149x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 541.2 | ||
Root | \(0.631711i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.541 |
Dual form | 930.2.bg.d.361.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{11}{15}\right)\) |
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 | ||||
\(7\) | 0.153192 | − | 1.45753i | 0.0579013 | − | 0.550894i | −0.926666 | − | 0.375886i | \(-0.877338\pi\) |
0.984567 | − | 0.175008i | \(-0.0559951\pi\) | |||||||
\(8\) | −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 | ||||
\(11\) | −3.73347 | + | 1.66225i | −1.12568 | + | 0.501186i | −0.883213 | − | 0.468973i | \(-0.844624\pi\) |
−0.242470 | + | 0.970159i | \(0.577958\pi\) | |||||||
\(12\) | −0.978148 | + | 0.207912i | −0.282367 | + | 0.0600189i | ||||
\(13\) | −5.97079 | − | 1.26913i | −1.65600 | − | 0.351993i | −0.717308 | − | 0.696756i | \(-0.754626\pi\) |
−0.938690 | + | 0.344763i | \(0.887959\pi\) | |||||||
\(14\) | −1.33885 | − | 0.596096i | −0.357824 | − | 0.159313i | ||||
\(15\) | −0.309017 | − | 0.951057i | −0.0797878 | − | 0.245562i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −0.778588 | − | 0.346650i | −0.188835 | − | 0.0840749i | 0.310141 | − | 0.950691i | \(-0.399624\pi\) |
−0.498976 | + | 0.866616i | \(0.666290\pi\) | |||||||
\(18\) | −0.978148 | − | 0.207912i | −0.230552 | − | 0.0490053i | ||||
\(19\) | −2.83372 | + | 0.602327i | −0.650101 | + | 0.138183i | −0.521146 | − | 0.853467i | \(-0.674495\pi\) |
−0.128955 | + | 0.991651i | \(0.541162\pi\) | |||||||
\(20\) | −0.913545 | + | 0.406737i | −0.204275 | + | 0.0909491i | ||||
\(21\) | −0.980649 | − | 1.08912i | −0.213995 | − | 0.237666i | ||||
\(22\) | 0.427186 | + | 4.06440i | 0.0910763 | + | 0.866533i | ||||
\(23\) | 2.69038 | − | 1.95467i | 0.560982 | − | 0.407578i | −0.270836 | − | 0.962626i | \(-0.587300\pi\) |
0.831818 | + | 0.555048i | \(0.187300\pi\) | |||||||
\(24\) | −0.104528 | + | 0.994522i | −0.0213368 | + | 0.203006i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | −3.05209 | + | 5.28637i | −0.598564 | + | 1.03674i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | −0.980649 | + | 1.08912i | −0.185325 | + | 0.205825i | ||||
\(29\) | 2.41358 | − | 7.42823i | 0.448190 | − | 1.37939i | −0.430757 | − | 0.902468i | \(-0.641753\pi\) |
0.878947 | − | 0.476919i | \(-0.158247\pi\) | |||||||
\(30\) | −1.00000 | −0.182574 | ||||||||
\(31\) | −2.31431 | − | 5.06399i | −0.415662 | − | 0.909519i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −1.26289 | + | 3.88677i | −0.219840 | + | 0.676599i | ||||
\(34\) | −0.570281 | + | 0.633361i | −0.0978023 | + | 0.108620i | ||||
\(35\) | −1.18566 | − | 0.861433i | −0.200413 | − | 0.145609i | ||||
\(36\) | −0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | ||||
\(37\) | 4.56260 | + | 7.90266i | 0.750087 | + | 1.29919i | 0.947780 | + | 0.318925i | \(0.103322\pi\) |
−0.197693 | + | 0.980264i | \(0.563345\pi\) | |||||||
\(38\) | −0.302822 | + | 2.88116i | −0.0491243 | + | 0.467386i | ||||
\(39\) | −4.93838 | + | 3.58795i | −0.790774 | + | 0.574531i | ||||
\(40\) | 0.104528 | + | 0.994522i | 0.0165274 | + | 0.157248i | ||||
\(41\) | 0.435400 | + | 0.483561i | 0.0679981 | + | 0.0755196i | 0.776184 | − | 0.630507i | \(-0.217153\pi\) |
−0.708186 | + | 0.706026i | \(0.750486\pi\) | |||||||
\(42\) | −1.33885 | + | 0.596096i | −0.206590 | + | 0.0919796i | ||||
\(43\) | 9.30138 | − | 1.97707i | 1.41845 | − | 0.301500i | 0.566040 | − | 0.824378i | \(-0.308475\pi\) |
0.852408 | + | 0.522877i | \(0.175141\pi\) | |||||||
\(44\) | 3.99748 | + | 0.849691i | 0.602643 | + | 0.128096i | ||||
\(45\) | −0.913545 | − | 0.406737i | −0.136183 | − | 0.0606327i | ||||
\(46\) | −1.02763 | − | 3.16273i | −0.151516 | − | 0.466319i | ||||
\(47\) | −2.91742 | − | 8.97890i | −0.425549 | − | 1.30971i | −0.902467 | − | 0.430759i | \(-0.858246\pi\) |
0.476918 | − | 0.878948i | \(-0.341754\pi\) | |||||||
\(48\) | 0.913545 | + | 0.406737i | 0.131859 | + | 0.0587074i | ||||
\(49\) | 4.74611 | + | 1.00882i | 0.678016 | + | 0.144117i | ||||
\(50\) | −0.978148 | + | 0.207912i | −0.138331 | + | 0.0294032i | ||||
\(51\) | −0.778588 | + | 0.346650i | −0.109024 | + | 0.0485407i | ||||
\(52\) | 4.08449 | + | 4.53629i | 0.566417 | + | 0.629070i | ||||
\(53\) | −0.831203 | − | 7.90836i | −0.114174 | − | 1.08630i | −0.890192 | − | 0.455586i | \(-0.849430\pi\) |
0.776017 | − | 0.630712i | \(-0.217237\pi\) | |||||||
\(54\) | −0.809017 | + | 0.587785i | −0.110093 | + | 0.0799874i | ||||
\(55\) | −0.427186 | + | 4.06440i | −0.0576017 | + | 0.548044i | ||||
\(56\) | 0.732779 | + | 1.26921i | 0.0979217 | + | 0.169605i | ||||
\(57\) | −1.44852 | + | 2.50890i | −0.191861 | + | 0.332312i | ||||
\(58\) | −6.31883 | − | 4.59090i | −0.829703 | − | 0.602814i | ||||
\(59\) | −6.82530 | + | 7.58026i | −0.888578 | + | 0.986866i | −0.999976 | − | 0.00690968i | \(-0.997801\pi\) |
0.111398 | + | 0.993776i | \(0.464467\pi\) | |||||||
\(60\) | −0.309017 | + | 0.951057i | −0.0398939 | + | 0.122781i | ||||
\(61\) | −12.4925 | −1.59950 | −0.799752 | − | 0.600331i | \(-0.795036\pi\) | ||||
−0.799752 | + | 0.600331i | \(0.795036\pi\) | |||||||
\(62\) | −5.53130 | + | 0.636179i | −0.702476 | + | 0.0807948i | ||||
\(63\) | −1.46556 | −0.184643 | ||||||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −4.08449 | + | 4.53629i | −0.506619 | + | 0.562657i | ||||
\(66\) | 3.30628 | + | 2.40215i | 0.406975 | + | 0.295685i | ||||
\(67\) | −3.07127 | + | 5.31959i | −0.375215 | + | 0.649892i | −0.990359 | − | 0.138523i | \(-0.955765\pi\) |
0.615144 | + | 0.788415i | \(0.289098\pi\) | |||||||
\(68\) | 0.426136 | + | 0.738088i | 0.0516765 | + | 0.0895064i | ||||
\(69\) | 0.347608 | − | 3.30727i | 0.0418471 | − | 0.398149i | ||||
\(70\) | −1.18566 | + | 0.861433i | −0.141714 | + | 0.102961i | ||||
\(71\) | 0.354061 | + | 3.36866i | 0.0420193 | + | 0.399787i | 0.995236 | + | 0.0974981i | \(0.0310840\pi\) |
−0.953216 | + | 0.302289i | \(0.902249\pi\) | |||||||
\(72\) | 0.669131 | + | 0.743145i | 0.0788578 | + | 0.0875805i | ||||
\(73\) | 6.83362 | − | 3.04252i | 0.799815 | − | 0.356101i | 0.0342125 | − | 0.999415i | \(-0.489108\pi\) |
0.765602 | + | 0.643314i | \(0.222441\pi\) | |||||||
\(74\) | 8.92580 | − | 1.89724i | 1.03760 | − | 0.220549i | ||||
\(75\) | −0.978148 | − | 0.207912i | −0.112947 | − | 0.0240076i | ||||
\(76\) | 2.64657 | + | 1.17833i | 0.303582 | + | 0.135164i | ||||
\(77\) | 1.85083 | + | 5.69628i | 0.210922 | + | 0.649151i | ||||
\(78\) | 1.88629 | + | 5.80542i | 0.213581 | + | 0.657334i | ||||
\(79\) | 13.0884 | + | 5.82733i | 1.47256 | + | 0.655626i | 0.977057 | − | 0.212980i | \(-0.0683170\pi\) |
0.495503 | + | 0.868606i | \(0.334984\pi\) | |||||||
\(80\) | 0.978148 | + | 0.207912i | 0.109360 | + | 0.0232452i | ||||
\(81\) | −0.978148 | + | 0.207912i | −0.108683 | + | 0.0231013i | ||||
\(82\) | 0.594440 | − | 0.264662i | 0.0656449 | − | 0.0292270i | ||||
\(83\) | −8.70605 | − | 9.66904i | −0.955613 | − | 1.06132i | −0.998063 | − | 0.0622170i | \(-0.980183\pi\) |
0.0424498 | − | 0.999099i | \(-0.486484\pi\) | |||||||
\(84\) | 0.153192 | + | 1.45753i | 0.0167147 | + | 0.159029i | ||||
\(85\) | −0.689502 | + | 0.500952i | −0.0747870 | + | 0.0543359i | ||||
\(86\) | 0.993980 | − | 9.45709i | 0.107184 | − | 1.01978i | ||||
\(87\) | −3.90525 | − | 6.76409i | −0.418687 | − | 0.725187i | ||||
\(88\) | 2.04339 | − | 3.53926i | 0.217826 | − | 0.377287i | ||||
\(89\) | −13.8438 | − | 10.0581i | −1.46744 | − | 1.06616i | −0.981346 | − | 0.192250i | \(-0.938422\pi\) |
−0.486093 | − | 0.873907i | \(-0.661578\pi\) | |||||||
\(90\) | −0.669131 | + | 0.743145i | −0.0705326 | + | 0.0783343i | ||||
\(91\) | −2.76447 | + | 8.50817i | −0.289796 | + | 0.891899i | ||||
\(92\) | −3.32549 | −0.346706 | ||||||||
\(93\) | −5.31185 | − | 1.66860i | −0.550813 | − | 0.173026i | ||||
\(94\) | −9.44097 | −0.973762 | ||||||||
\(95\) | −0.895232 | + | 2.75524i | −0.0918489 | + | 0.282682i | ||||
\(96\) | 0.669131 | − | 0.743145i | 0.0682929 | − | 0.0758469i | ||||
\(97\) | 8.16327 | + | 5.93096i | 0.828854 | + | 0.602198i | 0.919235 | − | 0.393710i | \(-0.128808\pi\) |
−0.0903809 | + | 0.995907i | \(0.528808\pi\) | |||||||
\(98\) | 2.42607 | − | 4.20208i | 0.245070 | − | 0.424474i | ||||
\(99\) | 2.04339 | + | 3.53926i | 0.205369 | + | 0.355709i | ||||
\(100\) | −0.104528 | + | 0.994522i | −0.0104528 | + | 0.0994522i | ||||
\(101\) | 15.9498 | − | 11.5882i | 1.58707 | − | 1.15307i | 0.679091 | − | 0.734054i | \(-0.262374\pi\) |
0.907977 | − | 0.419019i | \(-0.137626\pi\) | |||||||
\(102\) | 0.0890866 | + | 0.847602i | 0.00882089 | + | 0.0839251i | ||||
\(103\) | 2.64115 | + | 2.93330i | 0.260241 | + | 0.289026i | 0.859079 | − | 0.511844i | \(-0.171037\pi\) |
−0.598838 | + | 0.800870i | \(0.704371\pi\) | |||||||
\(104\) | 5.57644 | − | 2.48279i | 0.546815 | − | 0.243458i | ||||
\(105\) | −1.43353 | + | 0.304707i | −0.139898 | + | 0.0297363i | ||||
\(106\) | −7.77816 | − | 1.65330i | −0.755481 | − | 0.160583i | ||||
\(107\) | 9.28946 | + | 4.13594i | 0.898046 | + | 0.399836i | 0.803237 | − | 0.595659i | \(-0.203109\pi\) |
0.0948092 | + | 0.995495i | \(0.469776\pi\) | |||||||
\(108\) | 0.309017 | + | 0.951057i | 0.0297352 | + | 0.0915155i | ||||
\(109\) | −2.30266 | − | 7.08685i | −0.220555 | − | 0.678797i | −0.998712 | − | 0.0507285i | \(-0.983846\pi\) |
0.778158 | − | 0.628069i | \(-0.216154\pi\) | |||||||
\(110\) | 3.73347 | + | 1.66225i | 0.355972 | + | 0.158489i | ||||
\(111\) | 8.92580 | + | 1.89724i | 0.847199 | + | 0.180078i | ||||
\(112\) | 1.43353 | − | 0.304707i | 0.135456 | − | 0.0287921i | ||||
\(113\) | 17.6527 | − | 7.85951i | 1.66063 | − | 0.739360i | 0.660695 | − | 0.750655i | \(-0.270262\pi\) |
0.999936 | + | 0.0112944i | \(0.00359520\pi\) | |||||||
\(114\) | 1.93849 | + | 2.15291i | 0.181556 | + | 0.201639i | ||||
\(115\) | −0.347608 | − | 3.30727i | −0.0324146 | − | 0.308405i | ||||
\(116\) | −6.31883 | + | 4.59090i | −0.586688 | + | 0.426254i | ||||
\(117\) | −0.638060 | + | 6.07074i | −0.0589887 | + | 0.561240i | ||||
\(118\) | 5.10013 | + | 8.83368i | 0.469505 | + | 0.813206i | ||||
\(119\) | −0.624526 | + | 1.08171i | −0.0572502 | + | 0.0991603i | ||||
\(120\) | 0.809017 | + | 0.587785i | 0.0738528 | + | 0.0536572i | ||||
\(121\) | 3.81527 | − | 4.23729i | 0.346843 | − | 0.385208i | ||||
\(122\) | −3.86040 | + | 11.8811i | −0.349504 | + | 1.07566i | ||||
\(123\) | 0.650696 | 0.0586713 | ||||||||
\(124\) | −1.10422 | + | 5.45717i | −0.0991622 | + | 0.490068i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −0.452882 | + | 1.39383i | −0.0403460 | + | 0.124172i | ||||
\(127\) | −6.00367 | + | 6.66775i | −0.532740 | + | 0.591667i | −0.948093 | − | 0.317993i | \(-0.896991\pi\) |
0.415353 | + | 0.909660i | \(0.363658\pi\) | |||||||
\(128\) | −0.809017 | − | 0.587785i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | 4.75459 | − | 8.23519i | 0.418618 | − | 0.725068i | ||||
\(130\) | 3.05209 | + | 5.28637i | 0.267686 | + | 0.463646i | ||||
\(131\) | −1.56761 | + | 14.9148i | −0.136963 | + | 1.30311i | 0.682882 | + | 0.730529i | \(0.260726\pi\) |
−0.819845 | + | 0.572586i | \(0.805940\pi\) | |||||||
\(132\) | 3.30628 | − | 2.40215i | 0.287775 | − | 0.209081i | ||||
\(133\) | 0.443803 | + | 4.22251i | 0.0384826 | + | 0.366138i | ||||
\(134\) | 4.11016 | + | 4.56479i | 0.355064 | + | 0.394338i | ||||
\(135\) | −0.913545 | + | 0.406737i | −0.0786255 | + | 0.0350063i | ||||
\(136\) | 0.833647 | − | 0.177197i | 0.0714846 | − | 0.0151945i | ||||
\(137\) | −1.14514 | − | 0.243407i | −0.0978359 | − | 0.0207957i | 0.158734 | − | 0.987321i | \(-0.449259\pi\) |
−0.256569 | + | 0.966526i | \(0.582592\pi\) | |||||||
\(138\) | −3.03799 | − | 1.35260i | −0.258610 | − | 0.115141i | ||||
\(139\) | −4.99870 | − | 15.3844i | −0.423985 | − | 1.30489i | −0.903963 | − | 0.427610i | \(-0.859356\pi\) |
0.479979 | − | 0.877280i | \(-0.340644\pi\) | |||||||
\(140\) | 0.452882 | + | 1.39383i | 0.0382755 | + | 0.117800i | ||||
\(141\) | −8.62476 | − | 3.83999i | −0.726335 | − | 0.323385i | ||||
\(142\) | 3.31320 | + | 0.704242i | 0.278038 | + | 0.0590987i | ||||
\(143\) | 24.4013 | − | 5.18666i | 2.04054 | − | 0.433731i | ||||
\(144\) | 0.913545 | − | 0.406737i | 0.0761288 | − | 0.0338947i | ||||
\(145\) | −5.22624 | − | 5.80433i | −0.434016 | − | 0.482024i | ||||
\(146\) | −0.781907 | − | 7.43935i | −0.0647111 | − | 0.615685i | ||||
\(147\) | 3.92546 | − | 2.85202i | 0.323767 | − | 0.235230i | ||||
\(148\) | 0.953844 | − | 9.07522i | 0.0784055 | − | 0.745978i | ||||
\(149\) | −8.61907 | − | 14.9287i | −0.706102 | − | 1.22300i | −0.966293 | − | 0.257447i | \(-0.917119\pi\) |
0.260191 | − | 0.965557i | \(-0.416215\pi\) | |||||||
\(150\) | −0.500000 | + | 0.866025i | −0.0408248 | + | 0.0707107i | ||||
\(151\) | 0.245635 | + | 0.178464i | 0.0199895 | + | 0.0145232i | 0.597735 | − | 0.801694i | \(-0.296067\pi\) |
−0.577746 | + | 0.816217i | \(0.696067\pi\) | |||||||
\(152\) | 1.93849 | − | 2.15291i | 0.157232 | − | 0.174624i | ||||
\(153\) | −0.263366 | + | 0.810558i | −0.0212919 | + | 0.0655297i | ||||
\(154\) | 5.98942 | 0.482641 | ||||||||
\(155\) | −5.54270 | − | 0.527745i | −0.445200 | − | 0.0423895i | ||||
\(156\) | 6.10418 | 0.488725 | ||||||||
\(157\) | −6.06948 | + | 18.6799i | −0.484397 | + | 1.49082i | 0.348455 | + | 0.937325i | \(0.386706\pi\) |
−0.832852 | + | 0.553495i | \(0.813294\pi\) | |||||||
\(158\) | 9.58666 | − | 10.6471i | 0.762674 | − | 0.847035i | ||||
\(159\) | −6.43324 | − | 4.67402i | −0.510189 | − | 0.370674i | ||||
\(160\) | 0.500000 | − | 0.866025i | 0.0395285 | − | 0.0684653i | ||||
\(161\) | −2.43685 | − | 4.22074i | −0.192051 | − | 0.332641i | ||||
\(162\) | −0.104528 | + | 0.994522i | −0.00821253 | + | 0.0781370i | ||||
\(163\) | −8.76207 | + | 6.36601i | −0.686298 | + | 0.498625i | −0.875441 | − | 0.483325i | \(-0.839429\pi\) |
0.189143 | + | 0.981950i | \(0.439429\pi\) | |||||||
\(164\) | −0.0680162 | − | 0.647131i | −0.00531118 | − | 0.0505325i | ||||
\(165\) | 2.73459 | + | 3.03707i | 0.212888 | + | 0.236436i | ||||
\(166\) | −11.8861 | + | 5.29204i | −0.922542 | + | 0.410742i | ||||
\(167\) | 3.66163 | − | 0.778304i | 0.283346 | − | 0.0602270i | −0.0640465 | − | 0.997947i | \(-0.520401\pi\) |
0.347392 | + | 0.937720i | \(0.387067\pi\) | |||||||
\(168\) | 1.43353 | + | 0.304707i | 0.110599 | + | 0.0235086i | ||||
\(169\) | 22.1635 | + | 9.86783i | 1.70489 | + | 0.759064i | ||||
\(170\) | 0.263366 | + | 0.810558i | 0.0201993 | + | 0.0621670i | ||||
\(171\) | 0.895232 | + | 2.75524i | 0.0684601 | + | 0.210699i | ||||
\(172\) | −8.68707 | − | 3.86773i | −0.662383 | − | 0.294912i | ||||
\(173\) | −0.0121704 | − | 0.00258690i | −0.000925299 | − | 0.000196678i | 0.207449 | − | 0.978246i | \(-0.433484\pi\) |
−0.208374 | + | 0.978049i | \(0.566817\pi\) | |||||||
\(174\) | −7.63982 | + | 1.62389i | −0.579173 | + | 0.123107i | ||||
\(175\) | −1.33885 | + | 0.596096i | −0.101208 | + | 0.0450606i | ||||
\(176\) | −2.73459 | − | 3.03707i | −0.206128 | − | 0.228928i | ||||
\(177\) | 1.06622 | + | 10.1444i | 0.0801417 | + | 0.762498i | ||||
\(178\) | −13.8438 | + | 10.0581i | −1.03764 | + | 0.753887i | ||||
\(179\) | 2.53066 | − | 24.0776i | 0.189150 | − | 1.79965i | −0.328972 | − | 0.944340i | \(-0.606702\pi\) |
0.518122 | − | 0.855307i | \(-0.326631\pi\) | |||||||
\(180\) | 0.500000 | + | 0.866025i | 0.0372678 | + | 0.0645497i | ||||
\(181\) | 9.58905 | − | 16.6087i | 0.712748 | − | 1.23452i | −0.251073 | − | 0.967968i | \(-0.580784\pi\) |
0.963822 | − | 0.266548i | \(-0.0858831\pi\) | |||||||
\(182\) | 7.23748 | + | 5.25834i | 0.536478 | + | 0.389774i | ||||
\(183\) | −8.35913 | + | 9.28375i | −0.617925 | + | 0.686275i | ||||
\(184\) | −1.02763 | + | 3.16273i | −0.0757581 | + | 0.233159i | ||||
\(185\) | 9.12521 | 0.670898 | ||||||||
\(186\) | −3.22839 | + | 4.53624i | −0.236717 | + | 0.332614i | ||||
\(187\) | 3.48305 | 0.254706 | ||||||||
\(188\) | −2.91742 | + | 8.97890i | −0.212775 | + | 0.654853i | ||||
\(189\) | −0.980649 | + | 1.08912i | −0.0713317 | + | 0.0792219i | ||||
\(190\) | 2.34375 | + | 1.70283i | 0.170033 | + | 0.123536i | ||||
\(191\) | 1.24474 | − | 2.15595i | 0.0900661 | − | 0.155999i | −0.817473 | − | 0.575967i | \(-0.804625\pi\) |
0.907539 | + | 0.419968i | \(0.137959\pi\) | |||||||
\(192\) | −0.500000 | − | 0.866025i | −0.0360844 | − | 0.0625000i | ||||
\(193\) | 0.983713 | − | 9.35940i | 0.0708092 | − | 0.673704i | −0.900333 | − | 0.435202i | \(-0.856677\pi\) |
0.971142 | − | 0.238502i | \(-0.0766564\pi\) | |||||||
\(194\) | 8.16327 | − | 5.93096i | 0.586088 | − | 0.425818i | ||||
\(195\) | 0.638060 | + | 6.07074i | 0.0456924 | + | 0.434735i | ||||
\(196\) | −3.24672 | − | 3.60584i | −0.231908 | − | 0.257560i | ||||
\(197\) | 3.41015 | − | 1.51830i | 0.242963 | − | 0.108174i | −0.281643 | − | 0.959519i | \(-0.590879\pi\) |
0.524606 | + | 0.851345i | \(0.324213\pi\) | |||||||
\(198\) | 3.99748 | − | 0.849691i | 0.284089 | − | 0.0603849i | ||||
\(199\) | −0.231037 | − | 0.0491085i | −0.0163778 | − | 0.00348121i | 0.199715 | − | 0.979854i | \(-0.435998\pi\) |
−0.216093 | + | 0.976373i | \(0.569332\pi\) | |||||||
\(200\) | 0.913545 | + | 0.406737i | 0.0645974 | + | 0.0287606i | ||||
\(201\) | 1.89815 | + | 5.84190i | 0.133885 | + | 0.412056i | ||||
\(202\) | −6.09230 | − | 18.7502i | −0.428653 | − | 1.31926i | ||||
\(203\) | −10.4571 | − | 4.65581i | −0.733946 | − | 0.326774i | ||||
\(204\) | 0.833647 | + | 0.177197i | 0.0583670 | + | 0.0124063i | ||||
\(205\) | 0.636477 | − | 0.135287i | 0.0444534 | − | 0.00944887i | ||||
\(206\) | 3.60589 | − | 1.60545i | 0.251234 | − | 0.111857i | ||||
\(207\) | −2.22519 | − | 2.47132i | −0.154661 | − | 0.171769i | ||||
\(208\) | −0.638060 | − | 6.07074i | −0.0442415 | − | 0.420930i | ||||
\(209\) | 9.57840 | − | 6.95911i | 0.662552 | − | 0.481372i | ||||
\(210\) | −0.153192 | + | 1.45753i | −0.0105713 | + | 0.100579i | ||||
\(211\) | 6.47133 | + | 11.2087i | 0.445505 | + | 0.771637i | 0.998087 | − | 0.0618212i | \(-0.0196909\pi\) |
−0.552582 | + | 0.833458i | \(0.686358\pi\) | |||||||
\(212\) | −3.97596 | + | 6.88657i | −0.273070 | + | 0.472972i | ||||
\(213\) | 2.74032 | + | 1.99096i | 0.187763 | + | 0.136418i | ||||
\(214\) | 6.80411 | − | 7.55673i | 0.465119 | − | 0.516567i | ||||
\(215\) | 2.93850 | − | 9.04377i | 0.200404 | − | 0.616780i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | −7.73544 | + | 2.59741i | −0.525116 | + | 0.176323i | ||||
\(218\) | −7.45156 | −0.504683 | ||||||||
\(219\) | 2.31155 | − | 7.11422i | 0.156200 | − | 0.480734i | ||||
\(220\) | 2.73459 | − | 3.03707i | 0.184366 | − | 0.204760i | ||||
\(221\) | 4.20884 | + | 3.05790i | 0.283117 | + | 0.205697i | ||||
\(222\) | 4.56260 | − | 7.90266i | 0.306222 | − | 0.530392i | ||||
\(223\) | 5.05945 | + | 8.76323i | 0.338806 | + | 0.586829i | 0.984208 | − | 0.177014i | \(-0.0566437\pi\) |
−0.645402 | + | 0.763843i | \(0.723310\pi\) | |||||||
\(224\) | 0.153192 | − | 1.45753i | 0.0102356 | − | 0.0973853i | ||||
\(225\) | −0.809017 | + | 0.587785i | −0.0539345 | + | 0.0391857i | ||||
\(226\) | −2.01984 | − | 19.2175i | −0.134358 | − | 1.27833i | ||||
\(227\) | 8.15833 | + | 9.06074i | 0.541487 | + | 0.601382i | 0.950338 | − | 0.311219i | \(-0.100737\pi\) |
−0.408851 | + | 0.912601i | \(0.634070\pi\) | |||||||
\(228\) | 2.64657 | − | 1.17833i | 0.175273 | − | 0.0780367i | ||||
\(229\) | −8.17309 | + | 1.73724i | −0.540093 | + | 0.114800i | −0.469878 | − | 0.882731i | \(-0.655702\pi\) |
−0.0702155 | + | 0.997532i | \(0.522369\pi\) | |||||||
\(230\) | −3.25282 | − | 0.691408i | −0.214485 | − | 0.0455901i | ||||
\(231\) | 5.47161 | + | 2.43612i | 0.360005 | + | 0.160285i | ||||
\(232\) | 2.41358 | + | 7.42823i | 0.158459 | + | 0.487687i | ||||
\(233\) | −4.44186 | − | 13.6707i | −0.290996 | − | 0.895594i | −0.984537 | − | 0.175177i | \(-0.943950\pi\) |
0.693541 | − | 0.720417i | \(-0.256050\pi\) | |||||||
\(234\) | 5.57644 | + | 2.48279i | 0.364544 | + | 0.162305i | ||||
\(235\) | −9.23466 | − | 1.96289i | −0.602403 | − | 0.128045i | ||||
\(236\) | 9.97735 | − | 2.12075i | 0.649470 | − | 0.138049i | ||||
\(237\) | 13.0884 | − | 5.82733i | 0.850183 | − | 0.378526i | ||||
\(238\) | 0.835779 | + | 0.928227i | 0.0541755 | + | 0.0601680i | ||||
\(239\) | −3.03128 | − | 28.8407i | −0.196077 | − | 1.86555i | −0.443007 | − | 0.896518i | \(-0.646088\pi\) |
0.246929 | − | 0.969034i | \(-0.420578\pi\) | |||||||
\(240\) | 0.809017 | − | 0.587785i | 0.0522218 | − | 0.0379414i | ||||
\(241\) | −0.0923365 | + | 0.878523i | −0.00594792 | + | 0.0565907i | −0.997093 | − | 0.0761908i | \(-0.975724\pi\) |
0.991145 | + | 0.132781i | \(0.0423908\pi\) | |||||||
\(242\) | −2.85092 | − | 4.93793i | −0.183264 | − | 0.317422i | ||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | 10.1067 | + | 7.34292i | 0.647013 | + | 0.470082i | ||||
\(245\) | 3.24672 | − | 3.60584i | 0.207425 | − | 0.230369i | ||||
\(246\) | 0.201076 | − | 0.618848i | 0.0128201 | − | 0.0394563i | ||||
\(247\) | 17.6840 | 1.12521 | ||||||||
\(248\) | 4.84885 | + | 2.73654i | 0.307902 | + | 0.173770i | ||||
\(249\) | −13.0110 | −0.824538 | ||||||||
\(250\) | −0.309017 | + | 0.951057i | −0.0195440 | + | 0.0601501i | ||||
\(251\) | −16.5045 | + | 18.3301i | −1.04175 | + | 1.15698i | −0.0543870 | + | 0.998520i | \(0.517320\pi\) |
−0.987365 | + | 0.158463i | \(0.949346\pi\) | |||||||
\(252\) | 1.18566 | + | 0.861433i | 0.0746896 | + | 0.0542652i | ||||
\(253\) | −6.79528 | + | 11.7698i | −0.427216 | + | 0.739959i | ||||
\(254\) | 4.48617 | + | 7.77028i | 0.281488 | + | 0.487551i | ||||
\(255\) | −0.0890866 | + | 0.847602i | −0.00557882 | + | 0.0530789i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 0.335668 | + | 3.19367i | 0.0209384 | + | 0.199216i | 0.999990 | − | 0.00439508i | \(-0.00139900\pi\) |
−0.979052 | + | 0.203611i | \(0.934732\pi\) | |||||||
\(258\) | −6.36289 | − | 7.06670i | −0.396136 | − | 0.439954i | ||||
\(259\) | 12.2173 | − | 5.43950i | 0.759147 | − | 0.337994i | ||||
\(260\) | 5.97079 | − | 1.26913i | 0.370292 | − | 0.0787081i | ||||
\(261\) | −7.63982 | − | 1.62389i | −0.472893 | − | 0.100517i | ||||
\(262\) | 13.7004 | + | 6.09982i | 0.846415 | + | 0.376848i | ||||
\(263\) | 6.68759 | + | 20.5823i | 0.412374 | + | 1.26916i | 0.914578 | + | 0.404409i | \(0.132523\pi\) |
−0.502204 | + | 0.864749i | \(0.667477\pi\) | |||||||
\(264\) | −1.26289 | − | 3.88677i | −0.0777253 | − | 0.239214i | ||||
\(265\) | −7.26445 | − | 3.23434i | −0.446251 | − | 0.198684i | ||||
\(266\) | 4.15299 | + | 0.882744i | 0.254636 | + | 0.0541245i | ||||
\(267\) | −16.7379 | + | 3.55776i | −1.02434 | + | 0.217731i | ||||
\(268\) | 5.61149 | − | 2.49840i | 0.342776 | − | 0.152614i | ||||
\(269\) | 12.1423 | + | 13.4854i | 0.740330 | + | 0.822220i | 0.989239 | − | 0.146307i | \(-0.0467387\pi\) |
−0.248909 | + | 0.968527i | \(0.580072\pi\) | |||||||
\(270\) | 0.104528 | + | 0.994522i | 0.00636140 | + | 0.0605247i | ||||
\(271\) | 5.06207 | − | 3.67781i | 0.307499 | − | 0.223411i | −0.423324 | − | 0.905979i | \(-0.639137\pi\) |
0.730823 | + | 0.682567i | \(0.239137\pi\) | |||||||
\(272\) | 0.0890866 | − | 0.847602i | 0.00540167 | − | 0.0513934i | ||||
\(273\) | 4.47301 | + | 7.74748i | 0.270719 | + | 0.468899i | ||||
\(274\) | −0.585362 | + | 1.01388i | −0.0353630 | + | 0.0612505i | ||||
\(275\) | 3.30628 | + | 2.40215i | 0.199376 | + | 0.144855i | ||||
\(276\) | −2.22519 | + | 2.47132i | −0.133940 | + | 0.148756i | ||||
\(277\) | 3.03836 | − | 9.35110i | 0.182557 | − | 0.561853i | −0.817341 | − | 0.576155i | \(-0.804553\pi\) |
0.999898 | + | 0.0143017i | \(0.00455252\pi\) | |||||||
\(278\) | −16.1761 | −0.970181 | ||||||||
\(279\) | −4.79434 | + | 2.83096i | −0.287029 | + | 0.169485i | ||||
\(280\) | 1.46556 | 0.0875838 | ||||||||
\(281\) | 3.94604 | − | 12.1447i | 0.235401 | − | 0.724490i | −0.761667 | − | 0.647969i | \(-0.775619\pi\) |
0.997068 | − | 0.0765211i | \(-0.0243813\pi\) | |||||||
\(282\) | −6.31724 | + | 7.01601i | −0.376186 | + | 0.417797i | ||||
\(283\) | 5.02626 | + | 3.65179i | 0.298780 | + | 0.217077i | 0.727067 | − | 0.686566i | \(-0.240883\pi\) |
−0.428287 | + | 0.903643i | \(0.640883\pi\) | |||||||
\(284\) | 1.69361 | − | 2.93342i | 0.100497 | − | 0.174066i | ||||
\(285\) | 1.44852 | + | 2.50890i | 0.0858027 | + | 0.148615i | ||||
\(286\) | 2.60762 | − | 24.8098i | 0.154192 | − | 1.46704i | ||||
\(287\) | 0.771505 | − | 0.560531i | 0.0455405 | − | 0.0330871i | ||||
\(288\) | −0.104528 | − | 0.994522i | −0.00615940 | − | 0.0586028i | ||||
\(289\) | −10.8892 | − | 12.0937i | −0.640540 | − | 0.711392i | ||||
\(290\) | −7.13525 | + | 3.17682i | −0.418996 | + | 0.186549i | ||||
\(291\) | 9.86985 | − | 2.09790i | 0.578581 | − | 0.122981i | ||||
\(292\) | −7.31687 | − | 1.55525i | −0.428187 | − | 0.0910140i | ||||
\(293\) | 5.32433 | + | 2.37054i | 0.311051 | + | 0.138489i | 0.556324 | − | 0.830965i | \(-0.312211\pi\) |
−0.245274 | + | 0.969454i | \(0.578878\pi\) | |||||||
\(294\) | −1.49939 | − | 4.61466i | −0.0874464 | − | 0.269132i | ||||
\(295\) | 3.15205 | + | 9.70101i | 0.183519 | + | 0.564815i | ||||
\(296\) | −8.33629 | − | 3.71156i | −0.484537 | − | 0.215730i | ||||
\(297\) | 3.99748 | + | 0.849691i | 0.231957 | + | 0.0493041i | ||||
\(298\) | −16.8614 | + | 3.58401i | −0.976757 | + | 0.207616i | ||||
\(299\) | −18.5444 | + | 8.25650i | −1.07245 | + | 0.477486i | ||||
\(300\) | 0.669131 | + | 0.743145i | 0.0386323 | + | 0.0429055i | ||||
\(301\) | −1.45674 | − | 13.8599i | −0.0839648 | − | 0.798872i | ||||
\(302\) | 0.245635 | − | 0.178464i | 0.0141347 | − | 0.0102695i | ||||
\(303\) | 2.06079 | − | 19.6071i | 0.118389 | − | 1.12640i | ||||
\(304\) | −1.44852 | − | 2.50890i | −0.0830781 | − | 0.143895i | ||||
\(305\) | −6.24626 | + | 10.8188i | −0.357660 | + | 0.619485i | ||||
\(306\) | 0.689502 | + | 0.500952i | 0.0394162 | + | 0.0286375i | ||||
\(307\) | −16.6801 | + | 18.5252i | −0.951986 | + | 1.05729i | 0.0463095 | + | 0.998927i | \(0.485254\pi\) |
−0.998296 | + | 0.0583605i | \(0.981413\pi\) | |||||||
\(308\) | 1.85083 | − | 5.69628i | 0.105461 | − | 0.324576i | ||||
\(309\) | 3.94714 | 0.224545 | ||||||||
\(310\) | −2.21470 | + | 5.10834i | −0.125787 | + | 0.290134i | ||||
\(311\) | −15.3536 | −0.870625 | −0.435313 | − | 0.900279i | \(-0.643362\pi\) | ||||
−0.435313 | + | 0.900279i | \(0.643362\pi\) | |||||||
\(312\) | 1.88629 | − | 5.80542i | 0.106790 | − | 0.328667i | ||||
\(313\) | 5.34713 | − | 5.93859i | 0.302238 | − | 0.335669i | −0.572826 | − | 0.819677i | \(-0.694153\pi\) |
0.875063 | + | 0.484008i | \(0.160820\pi\) | |||||||
\(314\) | 15.8901 | + | 11.5448i | 0.896730 | + | 0.651513i | ||||
\(315\) | −0.732779 | + | 1.26921i | −0.0412874 | + | 0.0715119i | ||||
\(316\) | −7.16352 | − | 12.4076i | −0.402979 | − | 0.697981i | ||||
\(317\) | 1.50431 | − | 14.3125i | 0.0844904 | − | 0.803873i | −0.867437 | − | 0.497548i | \(-0.834234\pi\) |
0.951927 | − | 0.306325i | \(-0.0990994\pi\) | |||||||
\(318\) | −6.43324 | + | 4.67402i | −0.360758 | + | 0.262106i | ||||
\(319\) | 3.33653 | + | 31.7450i | 0.186810 | + | 1.77738i | ||||
\(320\) | −0.669131 | − | 0.743145i | −0.0374055 | − | 0.0415431i | ||||
\(321\) | 9.28946 | − | 4.13594i | 0.518487 | − | 0.230845i | ||||
\(322\) | −4.76719 | + | 1.01330i | −0.265665 | + | 0.0564689i | ||||
\(323\) | 2.41510 | + | 0.513346i | 0.134380 | + | 0.0285633i | ||||
\(324\) | 0.913545 | + | 0.406737i | 0.0507525 | + | 0.0225965i | ||||
\(325\) | 1.88629 | + | 5.80542i | 0.104633 | + | 0.322027i | ||||
\(326\) | 3.34681 | + | 10.3004i | 0.185363 | + | 0.570488i | ||||
\(327\) | −6.80734 | − | 3.03082i | −0.376447 | − | 0.167605i | ||||
\(328\) | −0.636477 | − | 0.135287i | −0.0351435 | − | 0.00746999i | ||||
\(329\) | −13.5339 | + | 2.87673i | −0.746150 | + | 0.158599i | ||||
\(330\) | 3.73347 | − | 1.66225i | 0.205521 | − | 0.0915036i | ||||
\(331\) | −6.42537 | − | 7.13610i | −0.353170 | − | 0.392235i | 0.540215 | − | 0.841527i | \(-0.318343\pi\) |
−0.893385 | + | 0.449292i | \(0.851676\pi\) | |||||||
\(332\) | 1.36002 | + | 12.9397i | 0.0746407 | + | 0.710159i | ||||
\(333\) | 7.38245 | − | 5.36366i | 0.404556 | − | 0.293927i | ||||
\(334\) | 0.391296 | − | 3.72293i | 0.0214108 | − | 0.203710i | ||||
\(335\) | 3.07127 | + | 5.31959i | 0.167801 | + | 0.290640i | ||||
\(336\) | 0.732779 | − | 1.26921i | 0.0399764 | − | 0.0692411i | ||||
\(337\) | −0.0763204 | − | 0.0554500i | −0.00415744 | − | 0.00302055i | 0.585705 | − | 0.810525i | \(-0.300818\pi\) |
−0.589862 | + | 0.807504i | \(0.700818\pi\) | |||||||
\(338\) | 16.2338 | − | 18.0294i | 0.883000 | − | 0.980671i | ||||
\(339\) | 5.97124 | − | 18.3776i | 0.324313 | − | 0.998133i | ||||
\(340\) | 0.852271 | 0.0462209 | ||||||||
\(341\) | 17.0580 | + | 15.0593i | 0.923742 | + | 0.815506i | ||||
\(342\) | 2.89703 | 0.156654 | ||||||||
\(343\) | 5.36762 | − | 16.5198i | 0.289824 | − | 0.891988i | ||||
\(344\) | −6.36289 | + | 7.06670i | −0.343064 | + | 0.381011i | ||||
\(345\) | −2.69038 | − | 1.95467i | −0.144845 | − | 0.105236i | ||||
\(346\) | −0.00622115 | + | 0.0107754i | −0.000334451 | + | 0.000579287i | ||||
\(347\) | −1.92868 | − | 3.34057i | −0.103537 | − | 0.179331i | 0.809603 | − | 0.586978i | \(-0.199683\pi\) |
−0.913140 | + | 0.407647i | \(0.866349\pi\) | |||||||
\(348\) | −0.816420 | + | 7.76771i | −0.0437647 | + | 0.416393i | ||||
\(349\) | 26.5061 | − | 19.2578i | 1.41884 | − | 1.03085i | 0.426876 | − | 0.904310i | \(-0.359614\pi\) |
0.991962 | − | 0.126536i | \(-0.0403861\pi\) | |||||||
\(350\) | 0.153192 | + | 1.45753i | 0.00818848 | + | 0.0779082i | ||||
\(351\) | 4.08449 | + | 4.53629i | 0.218014 | + | 0.242129i | ||||
\(352\) | −3.73347 | + | 1.66225i | −0.198994 | + | 0.0885980i | ||||
\(353\) | 13.3260 | − | 2.83253i | 0.709272 | − | 0.150760i | 0.160871 | − | 0.986976i | \(-0.448570\pi\) |
0.548402 | + | 0.836215i | \(0.315236\pi\) | |||||||
\(354\) | 9.97735 | + | 2.12075i | 0.530290 | + | 0.112717i | ||||
\(355\) | 3.09438 | + | 1.37771i | 0.164233 | + | 0.0731210i | ||||
\(356\) | 5.28786 | + | 16.2744i | 0.280256 | + | 0.862539i | ||||
\(357\) | 0.385978 | + | 1.18792i | 0.0204281 | + | 0.0628714i | ||||
\(358\) | −22.1172 | − | 9.84720i | −1.16893 | − | 0.520441i | ||||
\(359\) | 7.89232 | + | 1.67756i | 0.416541 | + | 0.0885385i | 0.411414 | − | 0.911448i | \(-0.365035\pi\) |
0.00512629 | + | 0.999987i | \(0.498368\pi\) | |||||||
\(360\) | 0.978148 | − | 0.207912i | 0.0515529 | − | 0.0109579i | ||||
\(361\) | −9.69017 | + | 4.31434i | −0.510009 | + | 0.227071i | ||||
\(362\) | −12.8326 | − | 14.2521i | −0.674469 | − | 0.749074i | ||||
\(363\) | −0.596004 | − | 5.67060i | −0.0312821 | − | 0.297629i | ||||
\(364\) | 7.23748 | − | 5.25834i | 0.379347 | − | 0.275612i | ||||
\(365\) | 0.781907 | − | 7.43935i | 0.0409269 | − | 0.389393i | ||||
\(366\) | 6.24626 | + | 10.8188i | 0.326497 | + | 0.565510i | ||||
\(367\) | −10.9250 | + | 18.9226i | −0.570278 | + | 0.987751i | 0.426259 | + | 0.904601i | \(0.359831\pi\) |
−0.996537 | + | 0.0831495i | \(0.973502\pi\) | |||||||
\(368\) | 2.69038 | + | 1.95467i | 0.140246 | + | 0.101894i | ||||
\(369\) | 0.435400 | − | 0.483561i | 0.0226660 | − | 0.0251732i | ||||
\(370\) | 2.81984 | − | 8.67859i | 0.146597 | − | 0.451178i | ||||
\(371\) | −11.6540 | −0.605046 | ||||||||
\(372\) | 3.31660 | + | 4.47216i | 0.171958 | + | 0.231871i | ||||
\(373\) | 9.34276 | 0.483750 | 0.241875 | − | 0.970307i | \(-0.422238\pi\) | ||||
0.241875 | + | 0.970307i | \(0.422238\pi\) | |||||||
\(374\) | 1.07632 | − | 3.31258i | 0.0556553 | − | 0.171289i | ||||
\(375\) | −0.669131 | + | 0.743145i | −0.0345538 | + | 0.0383758i | ||||
\(376\) | 7.63791 | + | 5.54926i | 0.393895 | + | 0.286181i | ||||
\(377\) | −23.8383 | + | 41.2892i | −1.22774 | + | 2.12650i | ||||
\(378\) | 0.732779 | + | 1.26921i | 0.0376901 | + | 0.0652811i | ||||
\(379\) | −1.07434 | + | 10.2217i | −0.0551852 | + | 0.525052i | 0.931654 | + | 0.363347i | \(0.118366\pi\) |
−0.986839 | + | 0.161705i | \(0.948301\pi\) | |||||||
\(380\) | 2.34375 | − | 1.70283i | 0.120232 | − | 0.0873535i | ||||
\(381\) | 0.937866 | + | 8.92319i | 0.0480483 | + | 0.457149i | ||||
\(382\) | −1.66579 | − | 1.85004i | −0.0852290 | − | 0.0946564i | ||||
\(383\) | −6.03729 | + | 2.68798i | −0.308491 | + | 0.137349i | −0.555143 | − | 0.831755i | \(-0.687336\pi\) |
0.246651 | + | 0.969104i | \(0.420670\pi\) | |||||||
\(384\) | −0.978148 | + | 0.207912i | −0.0499159 | + | 0.0106099i | ||||
\(385\) | 5.85854 | + | 1.24527i | 0.298579 | + | 0.0634649i | ||||
\(386\) | −8.59734 | − | 3.82778i | −0.437593 | − | 0.194829i | ||||
\(387\) | −2.93850 | − | 9.04377i | −0.149372 | − | 0.459721i | ||||
\(388\) | −3.11809 | − | 9.59649i | −0.158297 | − | 0.487188i | ||||
\(389\) | 10.8760 | + | 4.84232i | 0.551436 | + | 0.245515i | 0.663488 | − | 0.748187i | \(-0.269075\pi\) |
−0.112052 | + | 0.993702i | \(0.535742\pi\) | |||||||
\(390\) | 5.97079 | + | 1.26913i | 0.302343 | + | 0.0642649i | ||||
\(391\) | −2.77228 | + | 0.589267i | −0.140200 | + | 0.0298005i | ||||
\(392\) | −4.43265 | + | 1.97354i | −0.223883 | + | 0.0996790i | ||||
\(393\) | 10.0349 | + | 11.1449i | 0.506196 | + | 0.562187i | ||||
\(394\) | −0.390192 | − | 3.71242i | −0.0196576 | − | 0.187029i | ||||
\(395\) | 11.5908 | − | 8.42122i | 0.583197 | − | 0.423718i | ||||
\(396\) | 0.427186 | − | 4.06440i | 0.0214669 | − | 0.204244i | ||||
\(397\) | 10.2260 | + | 17.7120i | 0.513229 | + | 0.888938i | 0.999882 | + | 0.0153432i | \(0.00488408\pi\) |
−0.486654 | + | 0.873595i | \(0.661783\pi\) | |||||||
\(398\) | −0.118099 | + | 0.204554i | −0.00591979 | + | 0.0102534i | ||||
\(399\) | 3.43490 | + | 2.49560i | 0.171960 | + | 0.124936i | ||||
\(400\) | 0.669131 | − | 0.743145i | 0.0334565 | − | 0.0371572i | ||||
\(401\) | −0.495941 | + | 1.52635i | −0.0247661 | + | 0.0762223i | −0.962676 | − | 0.270658i | \(-0.912759\pi\) |
0.937910 | + | 0.346880i | \(0.112759\pi\) | |||||||
\(402\) | 6.14254 | 0.306362 | ||||||||
\(403\) | 7.39138 | + | 33.1732i | 0.368191 | + | 1.65247i | ||||
\(404\) | −19.7151 | −0.980862 | ||||||||
\(405\) | −0.309017 | + | 0.951057i | −0.0153552 | + | 0.0472584i | ||||
\(406\) | −7.65936 | + | 8.50658i | −0.380128 | + | 0.422175i | ||||
\(407\) | −30.1705 | − | 21.9201i | −1.49550 | − | 1.08654i | ||||
\(408\) | 0.426136 | − | 0.738088i | 0.0210969 | − | 0.0365408i | ||||
\(409\) | −18.6279 | − | 32.2645i | −0.921091 | − | 1.59538i | −0.797730 | − | 0.603015i | \(-0.793966\pi\) |
−0.123361 | − | 0.992362i | \(-0.539367\pi\) | |||||||
\(410\) | 0.0680162 | − | 0.647131i | 0.00335908 | − | 0.0319595i | ||||
\(411\) | −0.947135 | + | 0.688134i | −0.0467187 | + | 0.0339431i | ||||
\(412\) | −0.412589 | − | 3.92552i | −0.0203268 | − | 0.193396i | ||||
\(413\) | 10.0029 | + | 11.1093i | 0.492209 | + | 0.546653i | ||||
\(414\) | −3.03799 | + | 1.35260i | −0.149309 | + | 0.0664766i | ||||
\(415\) | −12.7267 | + | 2.70514i | −0.624727 | + | 0.132790i | ||||
\(416\) | −5.97079 | − | 1.26913i | −0.292742 | − | 0.0622242i | ||||
\(417\) | −14.7776 | − | 6.57943i | −0.723665 | − | 0.322196i | ||||
\(418\) | −3.65862 | − | 11.2601i | −0.178949 | − | 0.550749i | ||||
\(419\) | 2.72355 | + | 8.38223i | 0.133054 | + | 0.409499i | 0.995282 | − | 0.0970215i | \(-0.0309316\pi\) |
−0.862228 | + | 0.506520i | \(0.830932\pi\) | |||||||
\(420\) | 1.33885 | + | 0.596096i | 0.0653294 | + | 0.0290865i | ||||
\(421\) | 15.0692 | + | 3.20306i | 0.734428 | + | 0.156107i | 0.559918 | − | 0.828548i | \(-0.310833\pi\) |
0.174510 | + | 0.984655i | \(0.444166\pi\) | |||||||
\(422\) | 12.6598 | − | 2.69093i | 0.616271 | − | 0.130992i | ||||
\(423\) | −8.62476 | + | 3.83999i | −0.419350 | + | 0.186707i | ||||
\(424\) | 5.32088 | + | 5.90943i | 0.258405 | + | 0.286987i | ||||
\(425\) | 0.0890866 | + | 0.847602i | 0.00432133 | + | 0.0411147i | ||||
\(426\) | 2.74032 | − | 1.99096i | 0.132769 | − | 0.0964622i | ||||
\(427\) | −1.91376 | + | 18.2082i | −0.0926133 | + | 0.881157i | ||||
\(428\) | −5.08429 | − | 8.80625i | −0.245759 | − | 0.425666i | ||||
\(429\) | 12.4732 | − | 21.6043i | 0.602214 | − | 1.04306i | ||||
\(430\) | −7.69309 | − | 5.58936i | −0.370994 | − | 0.269543i | ||||
\(431\) | −14.9604 | + | 16.6152i | −0.720615 | + | 0.800325i | −0.986514 | − | 0.163676i | \(-0.947665\pi\) |
0.265899 | + | 0.964001i | \(0.414331\pi\) | |||||||
\(432\) | 0.309017 | − | 0.951057i | 0.0148676 | − | 0.0457577i | ||||
\(433\) | −22.5017 | −1.08137 | −0.540683 | − | 0.841227i | \(-0.681834\pi\) | ||||
−0.540683 | + | 0.841227i | \(0.681834\pi\) | |||||||
\(434\) | 0.0798956 | + | 8.15949i | 0.00383511 | + | 0.391668i | ||||
\(435\) | −7.81050 | −0.374485 | ||||||||
\(436\) | −2.30266 | + | 7.08685i | −0.110277 | + | 0.339399i | ||||
\(437\) | −6.44644 | + | 7.15949i | −0.308375 | + | 0.342485i | ||||
\(438\) | −6.05171 | − | 4.39683i | −0.289162 | − | 0.210089i | ||||
\(439\) | 3.84310 | − | 6.65645i | 0.183421 | − | 0.317695i | −0.759622 | − | 0.650365i | \(-0.774616\pi\) |
0.943043 | + | 0.332670i | \(0.107949\pi\) | |||||||
\(440\) | −2.04339 | − | 3.53926i | −0.0974150 | − | 0.168728i | ||||
\(441\) | 0.507187 | − | 4.82556i | 0.0241518 | − | 0.229789i | ||||
\(442\) | 4.20884 | − | 3.05790i | 0.200194 | − | 0.145450i | ||||
\(443\) | −1.30603 | − | 12.4261i | −0.0620515 | − | 0.590381i | −0.980729 | − | 0.195372i | \(-0.937408\pi\) |
0.918678 | − | 0.395008i | \(-0.129258\pi\) | |||||||
\(444\) | −6.10595 | − | 6.78135i | −0.289776 | − | 0.321829i | ||||
\(445\) | −15.6325 | + | 6.96002i | −0.741050 | + | 0.329937i | ||||
\(446\) | 9.89778 | − | 2.10384i | 0.468673 | − | 0.0996196i | ||||
\(447\) | −16.8614 | − | 3.58401i | −0.797519 | − | 0.169518i | ||||
\(448\) | −1.33885 | − | 0.596096i | −0.0632549 | − | 0.0281629i | ||||
\(449\) | 7.01908 | + | 21.6025i | 0.331251 | + | 1.01949i | 0.968539 | + | 0.248861i | \(0.0800561\pi\) |
−0.637288 | + | 0.770626i | \(0.719944\pi\) | |||||||
\(450\) | 0.309017 | + | 0.951057i | 0.0145672 | + | 0.0448332i | ||||
\(451\) | −2.42935 | − | 1.08162i | −0.114394 | − | 0.0509313i | ||||
\(452\) | −18.9011 | − | 4.01755i | −0.889032 | − | 0.188970i | ||||
\(453\) | 0.296987 | − | 0.0631265i | 0.0139536 | − | 0.00296594i | ||||
\(454\) | 11.1383 | − | 4.95911i | 0.522748 | − | 0.232742i | ||||
\(455\) | 5.98606 | + | 6.64819i | 0.280631 | + | 0.311672i | ||||
\(456\) | −0.302822 | − | 2.88116i | −0.0141810 | − | 0.134923i | ||||
\(457\) | 13.4722 | − | 9.78811i | 0.630202 | − | 0.457868i | −0.226268 | − | 0.974065i | \(-0.572653\pi\) |
0.856470 | + | 0.516197i | \(0.172653\pi\) | |||||||
\(458\) | −0.873407 | + | 8.30991i | −0.0408116 | + | 0.388297i | ||||
\(459\) | 0.426136 | + | 0.738088i | 0.0198903 | + | 0.0344510i | ||||
\(460\) | −1.66274 | + | 2.87996i | −0.0775259 | + | 0.134279i | ||||
\(461\) | 3.08617 | + | 2.24223i | 0.143737 | + | 0.104431i | 0.657330 | − | 0.753603i | \(-0.271686\pi\) |
−0.513593 | + | 0.858034i | \(0.671686\pi\) | |||||||
\(462\) | 4.00771 | − | 4.45101i | 0.186455 | − | 0.207080i | ||||
\(463\) | −12.2449 | + | 37.6860i | −0.569070 | + | 1.75142i | 0.0864655 | + | 0.996255i | \(0.472443\pi\) |
−0.655536 | + | 0.755164i | \(0.727557\pi\) | |||||||
\(464\) | 7.81050 | 0.362593 | ||||||||
\(465\) | −4.10098 | + | 3.76590i | −0.190178 | + | 0.174639i | ||||
\(466\) | −14.3742 | −0.665871 | ||||||||
\(467\) | −10.4991 | + | 32.3129i | −0.485840 | + | 1.49526i | 0.344920 | + | 0.938632i | \(0.387906\pi\) |
−0.830760 | + | 0.556631i | \(0.812094\pi\) | |||||||
\(468\) | 4.08449 | − | 4.53629i | 0.188806 | − | 0.209690i | ||||
\(469\) | 7.28297 | + | 5.29139i | 0.336296 | + | 0.244333i | ||||
\(470\) | −4.72049 | + | 8.17612i | −0.217740 | + | 0.377136i | ||||
\(471\) | 9.82062 | + | 17.0098i | 0.452510 | + | 0.783771i | ||||
\(472\) | 1.06622 | − | 10.1444i | 0.0490766 | − | 0.466933i | ||||
\(473\) | −31.4400 | + | 22.8425i | −1.44561 | + | 1.05030i | ||||
\(474\) | −1.49758 | − | 14.2485i | −0.0687863 | − | 0.654458i | ||||
\(475\) | 1.93849 | + | 2.15291i | 0.0889441 | + | 0.0987825i | ||||
\(476\) | 1.14107 | − | 0.508035i | 0.0523007 | − | 0.0232858i | ||||
\(477\) | −7.77816 | + | 1.65330i | −0.356137 | + | 0.0756993i | ||||
\(478\) | −28.3659 | − | 6.02935i | −1.29743 | − | 0.275776i | ||||
\(479\) | −21.3816 | − | 9.51972i | −0.976952 | − | 0.434967i | −0.144767 | − | 0.989466i | \(-0.546243\pi\) |
−0.832185 | + | 0.554499i | \(0.812910\pi\) | |||||||
\(480\) | −0.309017 | − | 0.951057i | −0.0141046 | − | 0.0434096i | ||||
\(481\) | −17.2128 | − | 52.9756i | −0.784837 | − | 2.41548i | ||||
\(482\) | 0.806992 | + | 0.359296i | 0.0367575 | + | 0.0163655i | ||||
\(483\) | −4.76719 | − | 1.01330i | −0.216915 | − | 0.0461067i | ||||
\(484\) | −5.57723 | + | 1.18548i | −0.253511 | + | 0.0538853i | ||||
\(485\) | 9.21799 | − | 4.10412i | 0.418568 | − | 0.186358i | ||||
\(486\) | 0.669131 | + | 0.743145i | 0.0303524 | + | 0.0337097i | ||||
\(487\) | −1.49124 | − | 14.1882i | −0.0675747 | − | 0.642931i | −0.974922 | − | 0.222548i | \(-0.928563\pi\) |
0.907347 | − | 0.420382i | \(-0.138104\pi\) | |||||||
\(488\) | 10.1067 | − | 7.34292i | 0.457507 | − | 0.332398i | ||||
\(489\) | −1.13210 | + | 10.7712i | −0.0511952 | + | 0.487089i | ||||
\(490\) | −2.42607 | − | 4.20208i | −0.109599 | − | 0.189831i | ||||
\(491\) | 8.16113 | − | 14.1355i | 0.368306 | − | 0.637926i | −0.620994 | − | 0.783815i | \(-0.713271\pi\) |
0.989301 | + | 0.145889i | \(0.0466044\pi\) | |||||||
\(492\) | −0.526424 | − | 0.382469i | −0.0237330 | − | 0.0172431i | ||||
\(493\) | −4.45418 | + | 4.94687i | −0.200606 | + | 0.222796i | ||||
\(494\) | 5.46465 | − | 16.8185i | 0.245866 | − | 0.756699i | ||||
\(495\) | 4.08679 | 0.183687 | ||||||||
\(496\) | 4.10098 | − | 3.76590i | 0.184139 | − | 0.169094i | ||||
\(497\) | 4.96416 | 0.222673 | ||||||||
\(498\) | −4.02061 | + | 12.3742i | −0.180168 | + | 0.554500i | ||||
\(499\) | −23.1635 | + | 25.7257i | −1.03694 | + | 1.15164i | −0.0486868 | + | 0.998814i | \(0.515504\pi\) |
−0.988253 | + | 0.152825i | \(0.951163\pi\) | |||||||
\(500\) | 0.809017 | + | 0.587785i | 0.0361803 | + | 0.0262866i | ||||
\(501\) | 1.87172 | − | 3.24191i | 0.0836222 | − | 0.144838i | ||||
\(502\) | 12.3328 | + | 21.3610i | 0.550438 | + | 0.953387i | ||||
\(503\) | −0.579661 | + | 5.51510i | −0.0258458 | + | 0.245906i | 0.973969 | + | 0.226680i | \(0.0727871\pi\) |
−0.999815 | + | 0.0192266i | \(0.993880\pi\) | |||||||
\(504\) | 1.18566 | − | 0.861433i | 0.0528135 | − | 0.0383713i | ||||
\(505\) | −2.06079 | − | 19.6071i | −0.0917039 | − | 0.872504i | ||||
\(506\) | 9.09386 | + | 10.0998i | 0.404272 | + | 0.448989i | ||||
\(507\) | 22.1635 | − | 9.86783i | 0.984316 | − | 0.438246i | ||||
\(508\) | 8.77628 | − | 1.86546i | 0.389384 | − | 0.0827662i | ||||
\(509\) | −19.0935 | − | 4.05845i | −0.846305 | − | 0.179888i | −0.235703 | − | 0.971825i | \(-0.575739\pi\) |
−0.610602 | + | 0.791938i | \(0.709072\pi\) | |||||||
\(510\) | 0.778588 | + | 0.346650i | 0.0344765 | + | 0.0153499i | ||||
\(511\) | −3.38771 | − | 10.4263i | −0.149863 | − | 0.461232i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | 2.64657 | + | 1.17833i | 0.116849 | + | 0.0520245i | ||||
\(514\) | 3.14109 | + | 0.667659i | 0.138547 | + | 0.0294492i | ||||
\(515\) | 3.86089 | − | 0.820657i | 0.170131 | − | 0.0361625i | ||||
\(516\) | −8.68707 | + | 3.86773i | −0.382427 | + | 0.170267i | ||||
\(517\) | 25.8172 | + | 28.6729i | 1.13544 | + | 1.26103i | ||||
\(518\) | −1.39791 | − | 13.3003i | −0.0614208 | − | 0.584380i | ||||
\(519\) | −0.0100660 | + | 0.00731340i | −0.000441850 | + | 0.000321023i | ||||
\(520\) | 0.638060 | − | 6.07074i | 0.0279808 | − | 0.266219i | ||||
\(521\) | 12.4223 | + | 21.5161i | 0.544232 | + | 0.942638i | 0.998655 | + | 0.0518515i | \(0.0165122\pi\) |
−0.454423 | + | 0.890786i | \(0.650154\pi\) | |||||||
\(522\) | −3.90525 | + | 6.76409i | −0.170928 | + | 0.296056i | ||||
\(523\) | −2.08030 | − | 1.51142i | −0.0909650 | − | 0.0660900i | 0.541373 | − | 0.840782i | \(-0.317905\pi\) |
−0.632338 | + | 0.774693i | \(0.717905\pi\) | |||||||
\(524\) | 10.0349 | − | 11.1449i | 0.438378 | − | 0.486869i | ||||
\(525\) | −0.452882 | + | 1.39383i | −0.0197654 | + | 0.0608316i | ||||
\(526\) | 21.6415 | 0.943614 | ||||||||
\(527\) | 0.0464620 | + | 4.74502i | 0.00202392 | + | 0.206696i | ||||
\(528\) | −4.08679 | −0.177855 | ||||||||
\(529\) | −3.69001 | + | 11.3567i | −0.160435 | + | 0.493769i | ||||
\(530\) | −5.32088 | + | 5.90943i | −0.231124 | + | 0.256689i | ||||
\(531\) | 8.25218 | + | 5.99556i | 0.358114 | + | 0.260185i | ||||
\(532\) | 2.12288 | − | 3.67694i | 0.0920387 | − | 0.159416i | ||||
\(533\) | −1.98598 | − | 3.43982i | −0.0860224 | − | 0.148995i | ||||
\(534\) | −1.78868 | + | 17.0181i | −0.0774036 | + | 0.736447i | ||||
\(535\) | 8.22656 | − | 5.97694i | 0.355665 | − | 0.258406i | ||||
\(536\) | −0.642070 | − | 6.10889i | −0.0277332 | − | 0.263864i | ||||
\(537\) | −16.1998 | − | 17.9917i | −0.699074 | − | 0.776400i | ||||
\(538\) | 16.5776 | − | 7.38081i | 0.714710 | − | 0.318209i | ||||
\(539\) | −19.3963 | + | 4.12282i | −0.835460 | + | 0.177582i | ||||
\(540\) | 0.978148 | + | 0.207912i | 0.0420928 | + | 0.00894709i | ||||
\(541\) | −23.1342 | − | 10.3000i | −0.994619 | − | 0.442833i | −0.156121 | − | 0.987738i | \(-0.549899\pi\) |
−0.838498 | + | 0.544905i | \(0.816566\pi\) | |||||||
\(542\) | −1.93354 | − | 5.95082i | −0.0830526 | − | 0.255610i | ||||
\(543\) | −5.92636 | − | 18.2395i | −0.254324 | − | 0.782730i | ||||
\(544\) | −0.778588 | − | 0.346650i | −0.0333817 | − | 0.0148625i | ||||
\(545\) | −7.28872 | − | 1.54927i | −0.312215 | − | 0.0663633i | ||||
\(546\) | 8.75053 | − | 1.85998i | 0.374488 | − | 0.0795999i | ||||
\(547\) | −17.5558 | + | 7.81633i | −0.750630 | + | 0.334202i | −0.746141 | − | 0.665788i | \(-0.768096\pi\) |
−0.00448915 | + | 0.999990i | \(0.501429\pi\) | |||||||
\(548\) | 0.783367 | + | 0.870017i | 0.0334638 | + | 0.0371653i | ||||
\(549\) | 1.30582 | + | 12.4241i | 0.0557312 | + | 0.530247i | ||||
\(550\) | 3.30628 | − | 2.40215i | 0.140980 | − | 0.102428i | ||||
\(551\) | −2.36519 | + | 22.5033i | −0.100761 | + | 0.958673i | ||||
\(552\) | 1.66274 | + | 2.87996i | 0.0707711 | + | 0.122579i | ||||
\(553\) | 10.4985 | − | 18.1840i | 0.446444 | − | 0.773263i | ||||
\(554\) | −7.95452 | − | 5.77930i | −0.337955 | − | 0.245539i | ||||
\(555\) | 6.10595 | − | 6.78135i | 0.259183 | − | 0.287852i | ||||
\(556\) | −4.99870 | + | 15.3844i | −0.211992 | + | 0.652445i | ||||
\(557\) | −21.7625 | −0.922108 | −0.461054 | − | 0.887372i | \(-0.652529\pi\) | ||||
−0.461054 | + | 0.887372i | \(0.652529\pi\) | |||||||
\(558\) | 1.21087 | + | 5.43450i | 0.0512603 | + | 0.230061i | ||||
\(559\) | −58.0457 | −2.45507 | ||||||||
\(560\) | 0.452882 | − | 1.39383i | 0.0191378 | − | 0.0589000i | ||||
\(561\) | 2.33062 | − | 2.58841i | 0.0983987 | − | 0.109283i | ||||
\(562\) | −10.3309 | − | 7.50581i | −0.435781 | − | 0.316614i | ||||
\(563\) | 3.27431 | − | 5.67127i | 0.137996 | − | 0.239016i | −0.788742 | − | 0.614724i | \(-0.789267\pi\) |
0.926738 | + | 0.375709i | \(0.122601\pi\) | |||||||
\(564\) | 4.72049 | + | 8.17612i | 0.198768 | + | 0.344277i | ||||
\(565\) | 2.01984 | − | 19.2175i | 0.0849753 | − | 0.808486i | ||||
\(566\) | 5.02626 | − | 3.65179i | 0.211270 | − | 0.153496i | ||||
\(567\) | 0.153192 | + | 1.45753i | 0.00643348 | + | 0.0612105i | ||||
\(568\) | −2.26649 | − | 2.51719i | −0.0950999 | − | 0.105619i | ||||
\(569\) | −14.6156 | + | 6.50728i | −0.612717 | + | 0.272799i | −0.689542 | − | 0.724245i | \(-0.742188\pi\) |
0.0768253 | + | 0.997045i | \(0.475522\pi\) | |||||||
\(570\) | 2.83372 | − | 0.602327i | 0.118692 | − | 0.0252287i | ||||
\(571\) | 1.76635 | + | 0.375448i | 0.0739193 | + | 0.0157120i | 0.244723 | − | 0.969593i | \(-0.421303\pi\) |
−0.170804 | + | 0.985305i | \(0.554636\pi\) | |||||||
\(572\) | −22.7897 | − | 10.1466i | −0.952887 | − | 0.424253i | ||||
\(573\) | −0.769291 | − | 2.36763i | −0.0321376 | − | 0.0989093i | ||||
\(574\) | −0.294689 | − | 0.906958i | −0.0123001 | − | 0.0378557i | ||||
\(575\) | −3.03799 | − | 1.35260i | −0.126693 | − | 0.0564072i | ||||
\(576\) | −0.978148 | − | 0.207912i | −0.0407562 | − | 0.00866299i | ||||
\(577\) | 13.6435 | − | 2.90001i | 0.567986 | − | 0.120729i | 0.0850371 | − | 0.996378i | \(-0.472899\pi\) |
0.482949 | + | 0.875649i | \(0.339566\pi\) | |||||||
\(578\) | −14.8667 | + | 6.61908i | −0.618373 | + | 0.275318i | ||||
\(579\) | −6.29716 | − | 6.99370i | −0.261701 | − | 0.290648i | ||||
\(580\) | 0.816420 | + | 7.76771i | 0.0339000 | + | 0.322537i | ||||
\(581\) | −15.4266 | + | 11.2081i | −0.640004 | + | 0.464990i | ||||
\(582\) | 1.05473 | − | 10.0351i | 0.0437199 | − | 0.415967i | ||||
\(583\) | 16.2489 | + | 28.1439i | 0.672961 | + | 1.16560i | ||||
\(584\) | −3.74017 | + | 6.47816i | −0.154769 | + | 0.268068i | ||||
\(585\) | 4.93838 | + | 3.58795i | 0.204177 | + | 0.148343i | ||||
\(586\) | 3.89983 | − | 4.33120i | 0.161100 | − | 0.178920i | ||||
\(587\) | 9.47007 | − | 29.1459i | 0.390872 | − | 1.20298i | −0.541258 | − | 0.840856i | \(-0.682052\pi\) |
0.932130 | − | 0.362123i | \(-0.117948\pi\) | |||||||
\(588\) | −4.85214 | −0.200099 | ||||||||
\(589\) | 9.60829 | + | 12.9560i | 0.395903 | + | 0.533842i | ||||
\(590\) | 10.2003 | 0.419938 | ||||||||
\(591\) | 1.15352 | − | 3.55017i | 0.0474495 | − | 0.146035i | ||||
\(592\) | −6.10595 | + | 6.78135i | −0.250953 | + | 0.278712i | ||||
\(593\) | −6.79669 | − | 4.93808i | −0.279107 | − | 0.202783i | 0.439421 | − | 0.898281i | \(-0.355184\pi\) |
−0.718528 | + | 0.695498i | \(0.755184\pi\) | |||||||
\(594\) | 2.04339 | − | 3.53926i | 0.0838415 | − | 0.145218i | ||||
\(595\) | 0.624526 | + | 1.08171i | 0.0256031 | + | 0.0443458i | ||||
\(596\) | −1.80188 | + | 17.1437i | −0.0738077 | + | 0.702234i | ||||
\(597\) | −0.191089 | + | 0.138834i | −0.00782075 | + | 0.00568211i | ||||
\(598\) | 2.12186 | + | 20.1882i | 0.0867694 | + | 0.825556i | ||||
\(599\) | −6.60506 | − | 7.33566i | −0.269875 | − | 0.299727i | 0.592940 | − | 0.805247i | \(-0.297967\pi\) |
−0.862815 | + | 0.505520i | \(0.831301\pi\) | |||||||
\(600\) | 0.913545 | − | 0.406737i | 0.0372953 | − | 0.0166050i | ||||
\(601\) | 44.5800 | − | 9.47578i | 1.81846 | − | 0.386525i | 0.832568 | − | 0.553923i | \(-0.186870\pi\) |
0.985889 | + | 0.167398i | \(0.0535364\pi\) | |||||||
\(602\) | −13.6317 | − | 2.89751i | −0.555587 | − | 0.118094i | ||||
\(603\) | 5.61149 | + | 2.49840i | 0.228517 | + | 0.101743i | ||||
\(604\) | −0.0938242 | − | 0.288761i | −0.00381765 | − | 0.0117495i | ||||
\(605\) | −1.76196 | − | 5.42276i | −0.0716340 | − | 0.220467i | ||||
\(606\) | −18.0106 | − | 8.01885i | −0.731632 | − | 0.325743i | ||||
\(607\) | 27.0484 | + | 5.74932i | 1.09786 | + | 0.233358i | 0.721016 | − | 0.692918i | \(-0.243675\pi\) |
0.376846 | + | 0.926276i | \(0.377009\pi\) | |||||||
\(608\) | −2.83372 | + | 0.602327i | −0.114923 | + | 0.0244276i | ||||
\(609\) | −10.4571 | + | 4.65581i | −0.423744 | + | 0.188663i | ||||
\(610\) | 8.35913 | + | 9.28375i | 0.338451 | + | 0.375888i | ||||
\(611\) | 6.02391 | + | 57.3137i | 0.243701 | + | 2.31866i | ||||
\(612\) | 0.689502 | − | 0.500952i | 0.0278715 | − | 0.0202498i | ||||
\(613\) | −0.0279332 | + | 0.265767i | −0.00112821 | + | 0.0107342i | −0.995072 | − | 0.0991598i | \(-0.968384\pi\) |
0.993943 | + | 0.109894i | \(0.0350512\pi\) | |||||||
\(614\) | 12.4640 | + | 21.5884i | 0.503008 | + | 0.871235i | ||||
\(615\) | 0.325348 | − | 0.563519i | 0.0131193 | − | 0.0227233i | ||||
\(616\) | −4.84554 | − | 3.52049i | −0.195233 | − | 0.141845i | ||||
\(617\) | 18.2696 | − | 20.2905i | 0.735508 | − | 0.816865i | −0.253090 | − | 0.967443i | \(-0.581447\pi\) |
0.988598 | + | 0.150578i | \(0.0481135\pi\) | |||||||
\(618\) | 1.21973 | − | 3.75395i | 0.0490649 | − | 0.151006i | ||||
\(619\) | −36.9192 | −1.48391 | −0.741954 | − | 0.670451i | \(-0.766101\pi\) | ||||
−0.741954 | + | 0.670451i | \(0.766101\pi\) | |||||||
\(620\) | 4.17393 | + | 3.68487i | 0.167629 | + | 0.147988i | ||||
\(621\) | −3.32549 | −0.133447 | ||||||||
\(622\) | −4.74454 | + | 14.6022i | −0.190239 | + | 0.585494i | ||||
\(623\) | −16.7807 | + | 18.6369i | −0.672306 | + | 0.746672i | ||||
\(624\) | −4.93838 | − | 3.58795i | −0.197694 | − | 0.143633i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −3.99558 | − | 6.92055i | −0.159695 | − | 0.276601i | ||||
\(627\) | 1.23757 | − | 11.7747i | 0.0494238 | − | 0.470236i | ||||
\(628\) | 15.8901 | − | 11.5448i | 0.634084 | − | 0.460689i | ||||
\(629\) | −0.812933 | − | 7.73454i | −0.0324138 | − | 0.308396i | ||||
\(630\) | 0.980649 | + | 1.08912i | 0.0390700 | + | 0.0433916i | ||||
\(631\) | 21.9171 | − | 9.75814i | 0.872507 | − | 0.388465i | 0.0788907 | − | 0.996883i | \(-0.474862\pi\) |
0.793617 | + | 0.608418i | \(0.208196\pi\) | |||||||
\(632\) | −14.0140 | + | 2.97876i | −0.557445 | + | 0.118489i | ||||
\(633\) | 12.6598 | + | 2.69093i | 0.503183 | + | 0.106955i | ||||
\(634\) | −13.1472 | − | 5.85350i | −0.522141 | − | 0.232472i | ||||
\(635\) | 2.77261 | + | 8.53321i | 0.110028 | + | 0.338630i | ||||
\(636\) | 2.45728 | + | 7.56273i | 0.0974375 | + | 0.299882i | ||||
\(637\) | −27.0577 | − | 12.0469i | −1.07206 | − | 0.477314i | ||||
\(638\) | 31.2223 | + | 6.63651i | 1.23610 | + | 0.262742i | ||||
\(639\) | 3.31320 | − | 0.704242i | 0.131068 | − | 0.0278594i | ||||
\(640\) | −0.913545 | + | 0.406737i | −0.0361111 | + | 0.0160777i | ||||
\(641\) | 15.8462 | + | 17.5990i | 0.625887 | + | 0.695118i | 0.969805 | − | 0.243882i | \(-0.0784208\pi\) |
−0.343918 | + | 0.939000i | \(0.611754\pi\) | |||||||
\(642\) | −1.06291 | − | 10.1129i | −0.0419496 | − | 0.399123i | ||||
\(643\) | 16.0033 | − | 11.6270i | 0.631107 | − | 0.458526i | −0.225677 | − | 0.974202i | \(-0.572459\pi\) |
0.856783 | + | 0.515676i | \(0.172459\pi\) | |||||||
\(644\) | −0.509440 | + | 4.84700i | −0.0200747 | + | 0.190998i | ||||
\(645\) | −4.75459 | − | 8.23519i | −0.187212 | − | 0.324260i | ||||
\(646\) | 1.23453 | − | 2.13827i | 0.0485719 | − | 0.0841289i | ||||
\(647\) | −5.74664 | − | 4.17518i | −0.225924 | − | 0.164143i | 0.469065 | − | 0.883163i | \(-0.344591\pi\) |
−0.694989 | + | 0.719020i | \(0.744591\pi\) | |||||||
\(648\) | 0.669131 | − | 0.743145i | 0.0262859 | − | 0.0291935i | ||||
\(649\) | 12.8818 | − | 39.6460i | 0.505653 | − | 1.55624i | ||||
\(650\) | 6.10418 | 0.239426 | ||||||||
\(651\) | −3.24577 | + | 7.48656i | −0.127212 | + | 0.293421i | ||||
\(652\) | 10.8305 | 0.424155 | ||||||||
\(653\) | −4.14234 | + | 12.7488i | −0.162102 | + | 0.498899i | −0.998811 | − | 0.0487487i | \(-0.984477\pi\) |
0.836709 | + | 0.547648i | \(0.184477\pi\) | |||||||
\(654\) | −4.98606 | + | 5.53759i | −0.194971 | + | 0.216537i | ||||
\(655\) | 12.1328 | + | 8.81501i | 0.474068 | + | 0.344431i | ||||
\(656\) | −0.325348 | + | 0.563519i | −0.0127027 | + | 0.0220017i | ||||
\(657\) | −3.74017 | − | 6.47816i | −0.145918 | − | 0.252737i | ||||
\(658\) | −1.44629 | + | 13.7605i | −0.0563821 | + | 0.536440i | ||||
\(659\) | −4.52440 | + | 3.28717i | −0.176245 | + | 0.128050i | −0.672411 | − | 0.740178i | \(-0.734741\pi\) |
0.496165 | + | 0.868228i | \(0.334741\pi\) | |||||||
\(660\) | −0.427186 | − | 4.06440i | −0.0166282 | − | 0.158207i | ||||
\(661\) | 6.70732 | + | 7.44924i | 0.260885 | + | 0.289742i | 0.859330 | − | 0.511422i | \(-0.170881\pi\) |
−0.598445 | + | 0.801164i | \(0.704214\pi\) | |||||||
\(662\) | −8.77238 | + | 3.90572i | −0.340948 | + | 0.151800i | ||||
\(663\) | 5.08873 | − | 1.08164i | 0.197630 | − | 0.0420075i | ||||
\(664\) | 12.7267 | + | 2.70514i | 0.493890 | + | 0.104980i | ||||
\(665\) | 3.87870 | + | 1.72691i | 0.150410 | + | 0.0669666i | ||||
\(666\) | −2.81984 | − | 8.67859i | −0.109267 | − | 0.336288i | ||||
\(667\) | −8.02633 | − | 24.7025i | −0.310781 | − | 0.956484i | ||||
\(668\) | −3.41980 | − | 1.52259i | −0.132316 | − | 0.0589109i | ||||
\(669\) | 9.89778 | + | 2.10384i | 0.382670 | + | 0.0813391i | ||||
\(670\) | 6.00831 | − | 1.27711i | 0.232121 | − | 0.0493389i | ||||
\(671\) | 46.6404 | − | 20.7656i | 1.80053 | − | 0.801649i | ||||
\(672\) | −0.980649 | − | 1.08912i | −0.0378294 | − | 0.0420138i | ||||
\(673\) | −4.40348 | − | 41.8963i | −0.169742 | − | 1.61498i | −0.665415 | − | 0.746474i | \(-0.731745\pi\) |
0.495673 | − | 0.868509i | \(-0.334921\pi\) | |||||||
\(674\) | −0.0763204 | + | 0.0554500i | −0.00293975 | + | 0.00213585i | ||||
\(675\) | −0.104528 | + | 0.994522i | −0.00402330 | + | 0.0382792i | ||||
\(676\) | −12.1305 | − | 21.0106i | −0.466557 | − | 0.808101i | ||||
\(677\) | 0.289838 | − | 0.502014i | 0.0111394 | − | 0.0192940i | −0.860402 | − | 0.509616i | \(-0.829787\pi\) |
0.871541 | + | 0.490322i | \(0.163121\pi\) | |||||||
\(678\) | −15.6329 | − | 11.3580i | −0.600378 | − | 0.436200i | ||||
\(679\) | 9.89510 | − | 10.9896i | 0.379739 | − | 0.421743i | ||||
\(680\) | 0.263366 | − | 0.810558i | 0.0100996 | − | 0.0310835i | ||||
\(681\) | 12.1924 | 0.467215 | ||||||||
\(682\) | 19.5934 | − | 11.5695i | 0.750271 | − | 0.443020i | ||||
\(683\) | −3.79698 | −0.145287 | −0.0726437 | − | 0.997358i | \(-0.523144\pi\) | ||||
−0.0726437 | + | 0.997358i | \(0.523144\pi\) | |||||||
\(684\) | 0.895232 | − | 2.75524i | 0.0342300 | − | 0.105349i | ||||
\(685\) | −0.783367 | + | 0.870017i | −0.0299309 | + | 0.0332416i | ||||
\(686\) | −14.0526 | − | 10.2098i | −0.536532 | − | 0.389813i | ||||
\(687\) | −4.17784 | + | 7.23624i | −0.159395 | + | 0.276080i | ||||
\(688\) | 4.75459 | + | 8.23519i | 0.181267 | + | 0.313964i | ||||
\(689\) | −5.07381 | + | 48.2741i | −0.193297 | + | 1.83910i | ||||
\(690\) | −2.69038 | + | 1.95467i | −0.102421 | + | 0.0744131i | ||||
\(691\) | 4.53862 | + | 43.1821i | 0.172657 | + | 1.64272i | 0.647077 | + | 0.762425i | \(0.275991\pi\) |
−0.474419 | + | 0.880299i | \(0.657342\pi\) | |||||||
\(692\) | 0.00832553 | + | 0.00924644i | 0.000316489 | + | 0.000351497i | ||||
\(693\) | 5.47161 | − | 2.43612i | 0.207849 | − | 0.0925404i | ||||
\(694\) | −3.77307 | + | 0.801990i | −0.143224 | + | 0.0304431i | ||||
\(695\) | −15.8227 | − | 3.36321i | −0.600188 | − | 0.127574i | ||||
\(696\) | 7.13525 | + | 3.17682i | 0.270461 | + | 0.120417i | ||||
\(697\) | −0.171371 | − | 0.527427i | −0.00649115 | − | 0.0199777i | ||||
\(698\) | −10.1244 | − | 31.1598i | −0.383215 | − | 1.17941i | ||||
\(699\) | −13.1315 | − | 5.84650i | −0.496677 | − | 0.221135i | ||||
\(700\) | 1.43353 | + | 0.304707i | 0.0541824 | + | 0.0115168i | ||||
\(701\) | 11.8046 | − | 2.50914i | 0.445854 | − | 0.0947691i | 0.0204867 | − | 0.999790i | \(-0.493478\pi\) |
0.425367 | + | 0.905021i | \(0.360145\pi\) | |||||||
\(702\) | 5.57644 | − | 2.48279i | 0.210469 | − | 0.0937070i | ||||
\(703\) | −17.6891 | − | 19.6458i | −0.667159 | − | 0.740955i | ||||
\(704\) | 0.427186 | + | 4.06440i | 0.0161002 | + | 0.153183i | ||||
\(705\) | −7.63791 | + | 5.54926i | −0.287660 | + | 0.208997i | ||||
\(706\) | 1.42407 | − | 13.5491i | 0.0535955 | − | 0.509927i | ||||
\(707\) | −14.4468 | − | 25.0226i | −0.543328 | − | 0.941071i | ||||
\(708\) | 5.10013 | − | 8.83368i | 0.191674 | − | 0.331990i | ||||
\(709\) | 13.5210 | + | 9.82360i | 0.507793 | + | 0.368933i | 0.811986 | − | 0.583677i | \(-0.198387\pi\) |
−0.304193 | + | 0.952610i | \(0.598387\pi\) | |||||||
\(710\) | 2.26649 | − | 2.51719i | 0.0850599 | − | 0.0944686i | ||||
\(711\) | 4.42730 | − | 13.6258i | 0.166037 | − | 0.511008i | ||||
\(712\) | 17.1119 | 0.641294 | ||||||||
\(713\) | −16.1248 | − | 9.10032i | −0.603879 | − | 0.340810i | ||||
\(714\) | 1.24905 | 0.0467446 | ||||||||
\(715\) | 7.70888 | − | 23.7255i | 0.288296 | − | 0.887284i | ||||
\(716\) | −16.1998 | + | 17.9917i | −0.605416 | + | 0.672382i | ||||
\(717\) | −23.4612 | − | 17.0455i | −0.876173 | − | 0.636577i | ||||
\(718\) | 4.03432 | − | 6.98765i | 0.150559 | − | 0.260777i | ||||
\(719\) | 0.847952 | + | 1.46870i | 0.0316233 | + | 0.0547731i | 0.881404 | − | 0.472363i | \(-0.156599\pi\) |
−0.849781 | + | 0.527136i | \(0.823266\pi\) | |||||||
\(720\) | 0.104528 | − | 0.994522i | 0.00389555 | − | 0.0370636i | ||||
\(721\) | 4.67997 | − | 3.40020i | 0.174291 | − | 0.126630i | ||||
\(722\) | 1.10876 | + | 10.5491i | 0.0412636 | + | 0.392597i | ||||
\(723\) | 0.591085 | + | 0.656466i | 0.0219827 | + | 0.0244142i | ||||
\(724\) | −17.5201 | + | 7.80043i | −0.651128 | + | 0.289901i | ||||
\(725\) | −7.63982 | + | 1.62389i | −0.283736 | + | 0.0603099i | ||||
\(726\) | −5.57723 | − | 1.18548i | −0.206990 | − | 0.0439972i | ||||
\(727\) | 40.3687 | + | 17.9733i | 1.49719 | + | 0.666593i | 0.981723 | − | 0.190316i | \(-0.0609511\pi\) |
0.515469 | + | 0.856908i | \(0.327618\pi\) | |||||||
\(728\) | −2.76447 | − | 8.50817i | −0.102458 | − | 0.315334i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −6.83362 | − | 3.04252i | −0.252924 | − | 0.112609i | ||||
\(731\) | −7.92730 | − | 1.68500i | −0.293202 | − | 0.0623220i | ||||
\(732\) | 12.2195 | − | 2.59734i | 0.451647 | − | 0.0960005i | ||||
\(733\) | −2.24268 | + | 0.998505i | −0.0828352 | + | 0.0368806i | −0.447736 | − | 0.894166i | \(-0.647770\pi\) |
0.364901 | + | 0.931046i | \(0.381103\pi\) | |||||||
\(734\) | 14.6204 | + | 16.2377i | 0.539651 | + | 0.599343i | ||||
\(735\) | −0.507187 | − | 4.82556i | −0.0187079 | − | 0.177993i | ||||
\(736\) | 2.69038 | − | 1.95467i | 0.0991686 | − | 0.0720502i | ||||
\(737\) | 2.62400 | − | 24.9657i | 0.0966564 | − | 0.919624i | ||||
\(738\) | −0.325348 | − | 0.563519i | −0.0119762 | − | 0.0207434i | ||||
\(739\) | −6.90215 | + | 11.9549i | −0.253900 | + | 0.439767i | −0.964596 | − | 0.263732i | \(-0.915047\pi\) |
0.710697 | + | 0.703499i | \(0.248380\pi\) | |||||||
\(740\) | −7.38245 | − | 5.36366i | −0.271384 | − | 0.197172i | ||||
\(741\) | 11.8329 | − | 13.1418i | 0.434692 | − | 0.482775i | ||||
\(742\) | −3.60129 | + | 11.0836i | −0.132207 | + | 0.406892i | ||||
\(743\) | 6.93969 | 0.254593 | 0.127296 | − | 0.991865i | \(-0.459370\pi\) | ||||
0.127296 | + | 0.991865i | \(0.459370\pi\) | |||||||
\(744\) | 5.27816 | − | 1.77230i | 0.193507 | − | 0.0649756i | ||||
\(745\) | −17.2381 | −0.631556 | ||||||||
\(746\) | 2.88707 | − | 8.88549i | 0.105703 | − | 0.325321i | ||||
\(747\) | −8.70605 | + | 9.66904i | −0.318538 | + | 0.353772i | ||||
\(748\) | −2.81785 | − | 2.04729i | −0.103031 | − | 0.0748562i | ||||
\(749\) | 7.45132 | − | 12.9061i | 0.272265 | − | 0.471577i | ||||
\(750\) | 0.500000 | + | 0.866025i | 0.0182574 | + | 0.0316228i | ||||
\(751\) | 4.16575 | − | 39.6345i | 0.152011 | − | 1.44628i | −0.606739 | − | 0.794901i | \(-0.707523\pi\) |
0.758750 | − | 0.651382i | \(-0.225811\pi\) | |||||||
\(752\) | 7.63791 | − | 5.54926i | 0.278526 | − | 0.202361i | ||||
\(753\) | 2.57825 | + | 24.5304i | 0.0939566 | + | 0.893937i | ||||
\(754\) | 31.9019 | + | 35.4307i | 1.16180 | + | 1.29031i | ||||
\(755\) | 0.277372 | − | 0.123494i | 0.0100946 | − | 0.00449441i | ||||
\(756\) | 1.43353 | − | 0.304707i | 0.0521370 | − | 0.0110821i | ||||
\(757\) | 43.0447 | + | 9.14943i | 1.56448 | + | 0.332542i | 0.907068 | − | 0.420985i | \(-0.138316\pi\) |
0.657417 | + | 0.753527i | \(0.271649\pi\) | |||||||
\(758\) | 9.38940 | + | 4.18043i | 0.341038 | + | 0.151840i | ||||
\(759\) | 4.19972 | + | 12.9254i | 0.152440 | + | 0.469162i | ||||
\(760\) | −0.895232 | − | 2.75524i | −0.0324735 | − | 0.0999431i | ||||
\(761\) | −36.2978 | − | 16.1608i | −1.31580 | − | 0.585830i | −0.375700 | − | 0.926741i | \(-0.622598\pi\) |
−0.940095 | + | 0.340911i | \(0.889264\pi\) | |||||||
\(762\) | 8.77628 | + | 1.86546i | 0.317931 | + | 0.0675783i | ||||
\(763\) | −10.6820 | + | 2.27054i | −0.386716 | + | 0.0821990i | ||||
\(764\) | −2.27425 | + | 1.01256i | −0.0822795 | + | 0.0366332i | ||||
\(765\) | 0.570281 | + | 0.633361i | 0.0206185 | + | 0.0228992i | ||||
\(766\) | 0.690791 | + | 6.57244i | 0.0249593 | + | 0.237472i | ||||
\(767\) | 50.3727 | − | 36.5979i | 1.81885 | − | 1.32148i | ||||
\(768\) | −0.104528 | + | 0.994522i | −0.00377185 | + | 0.0358867i | ||||
\(769\) | 1.96114 | + | 3.39680i | 0.0707206 | + | 0.122492i | 0.899217 | − | 0.437502i | \(-0.144137\pi\) |
−0.828497 | + | 0.559994i | \(0.810803\pi\) | |||||||
\(770\) | 2.99471 | − | 5.18699i | 0.107922 | − | 0.186926i | ||||
\(771\) | 2.59796 | + | 1.88753i | 0.0935634 | + | 0.0679778i | ||||
\(772\) | −6.29716 | + | 6.99370i | −0.226640 | + | 0.251709i | ||||
\(773\) | 1.03249 | − | 3.17768i | 0.0371361 | − | 0.114293i | −0.930770 | − | 0.365605i | \(-0.880862\pi\) |
0.967906 | + | 0.251312i | \(0.0808620\pi\) | |||||||
\(774\) | −9.50918 | −0.341801 | ||||||||
\(775\) | −3.22839 | + | 4.53624i | −0.115967 | + | 0.162947i | ||||
\(776\) | −10.0904 | −0.362222 | ||||||||
\(777\) | 4.13264 | − | 12.7190i | 0.148258 | − | 0.456290i | ||||
\(778\) | 7.96619 | − | 8.84735i | 0.285602 | − | 0.317193i | ||||
\(779\) | −1.52507 | − | 1.10803i | −0.0546412 | − | 0.0396991i | ||||
\(780\) | 3.05209 | − | 5.28637i | 0.109282 | − | 0.189282i | ||||
\(781\) | −6.92142 | − | 11.9883i | −0.247668 | − | 0.428973i | ||||
\(782\) | −0.296256 | + | 2.81869i | −0.0105941 | + | 0.100796i | ||||
\(783\) | −6.31883 | + | 4.59090i | −0.225816 | + | 0.164065i | ||||
\(784\) | 0.507187 | + | 4.82556i | 0.0181138 | + | 0.172341i | ||||
\(785\) | 13.1426 | + | 14.5963i | 0.469078 | + | 0.520964i | ||||
\(786\) | 13.7004 | − | 6.09982i | 0.488678 | − | 0.217574i | ||||
\(787\) | −15.9445 | + | 3.38910i | −0.568359 | + | 0.120809i | −0.483123 | − | 0.875552i | \(-0.660498\pi\) |
−0.0852360 | + | 0.996361i | \(0.527164\pi\) | |||||||
\(788\) | −3.65130 | − | 0.776108i | −0.130072 | − | 0.0276477i | ||||
\(789\) | 19.7705 | + | 8.80239i | 0.703848 | + | 0.313373i | ||||
\(790\) | −4.42730 | − | 13.6258i | −0.157516 | − | 0.484785i | ||||
\(791\) | −8.75120 | − | 26.9334i | −0.311157 | − | 0.957642i | ||||
\(792\) | −3.73347 | − | 1.66225i | −0.132663 | − | 0.0590653i | ||||
\(793\) | 74.5902 | + | 15.8546i | 2.64877 | + | 0.563014i | ||||
\(794\) | 20.0051 | − | 4.25221i | 0.709954 | − | 0.150905i | ||||
\(795\) | −7.26445 | + | 3.23434i | −0.257643 | + | 0.114710i | ||||
\(796\) | 0.158048 | + | 0.175530i | 0.00560186 | + | 0.00622150i | ||||
\(797\) | −1.39601 | − | 13.2822i | −0.0494493 | − | 0.470479i | −0.991025 | − | 0.133677i | \(-0.957322\pi\) |
0.941576 | − | 0.336802i | \(-0.109345\pi\) | |||||||
\(798\) | 3.43490 | − | 2.49560i | 0.121594 | − | 0.0883432i | ||||
\(799\) | −0.841064 | + | 8.00219i | −0.0297547 | + | 0.283097i | ||||
\(800\) | −0.500000 | − | 0.866025i | −0.0176777 | − | 0.0306186i | ||||
\(801\) | −8.55594 | + | 14.8193i | −0.302309 | + | 0.523615i | ||||
\(802\) | 1.29839 | + | 0.943337i | 0.0458478 | + | 0.0333104i | ||||
\(803\) | −20.4557 | + | 22.7183i | −0.721865 | + | 0.801712i | ||||
\(804\) | 1.89815 | − | 5.84190i | 0.0669425 | − | 0.206028i | ||||
\(805\) | −4.87370 | −0.171775 | ||||||||
\(806\) | 33.8336 | + | 3.22145i | 1.19174 | + | 0.113471i | ||||
\(807\) | 18.1464 | 0.638784 | ||||||||
\(808\) | −6.09230 | + | 18.7502i | −0.214326 | + | 0.659628i | ||||
\(809\) | 0.644638 | − | 0.715943i | 0.0226643 | − | 0.0251712i | −0.731706 | − | 0.681620i | \(-0.761276\pi\) |
0.754370 | + | 0.656449i | \(0.227942\pi\) | |||||||
\(810\) | 0.809017 | + | 0.587785i | 0.0284260 | + | 0.0206527i | ||||
\(811\) | 1.19879 | − | 2.07637i | 0.0420953 | − | 0.0729112i | −0.844210 | − | 0.536012i | \(-0.819930\pi\) |
0.886305 | + | 0.463101i | \(0.153263\pi\) | |||||||
\(812\) | 5.72337 | + | 9.91317i | 0.200851 | + | 0.347884i | ||||
\(813\) | 0.654041 | − | 6.22279i | 0.0229382 | − | 0.218243i | ||||
\(814\) | −30.1705 | + | 21.9201i | −1.05748 | + | 0.768301i | ||||
\(815\) | 1.13210 | + | 10.7712i | 0.0396556 | + | 0.377298i | ||||
\(816\) | −0.570281 | − | 0.633361i | −0.0199638 | − | 0.0221721i | ||||
\(817\) | −25.1667 | + | 11.2049i | −0.880472 | + | 0.392011i | ||||
\(818\) | −36.4417 | + | 7.74592i | −1.27415 | + | 0.270830i | ||||
\(819\) | 8.75053 | + | 1.85998i | 0.305768 | + | 0.0649931i | ||||
\(820\) | −0.594440 | − | 0.264662i | −0.0207588 | − | 0.00924239i | ||||
\(821\) | 16.3035 | + | 50.1770i | 0.568996 | + | 1.75119i | 0.655768 | + | 0.754962i | \(0.272345\pi\) |
−0.0867719 | + | 0.996228i | \(0.527655\pi\) | |||||||
\(822\) | 0.361773 | + | 1.11342i | 0.0126183 | + | 0.0388351i | ||||
\(823\) | 4.96033 | + | 2.20848i | 0.172906 | + | 0.0769829i | 0.491364 | − | 0.870954i | \(-0.336498\pi\) |
−0.318458 | + | 0.947937i | \(0.603165\pi\) | |||||||
\(824\) | −3.86089 | − | 0.820657i | −0.134500 | − | 0.0285889i | ||||
\(825\) | 3.99748 | − | 0.849691i | 0.139174 | − | 0.0295824i | ||||
\(826\) | 13.6566 | − | 6.08033i | 0.475175 | − | 0.211562i | ||||
\(827\) | −1.30610 | − | 1.45057i | −0.0454175 | − | 0.0504412i | 0.720008 | − | 0.693966i | \(-0.244138\pi\) |
−0.765425 | + | 0.643525i | \(0.777471\pi\) | |||||||
\(828\) | 0.347608 | + | 3.30727i | 0.0120802 | + | 0.114936i | ||||
\(829\) | 2.99295 | − | 2.17450i | 0.103949 | − | 0.0755236i | −0.534596 | − | 0.845108i | \(-0.679536\pi\) |
0.638546 | + | 0.769584i | \(0.279536\pi\) | |||||||
\(830\) | −1.36002 | + | 12.9397i | −0.0472069 | + | 0.449144i | ||||
\(831\) | −4.91616 | − | 8.51505i | −0.170540 | − | 0.295384i | ||||
\(832\) | −3.05209 | + | 5.28637i | −0.105812 | + | 0.183272i | ||||
\(833\) | −3.34556 | − | 2.43069i | −0.115917 | − | 0.0842185i | ||||
\(834\) | −10.8240 | + | 12.0212i | −0.374803 | + | 0.416261i | ||||
\(835\) | 1.15679 | − | 3.56022i | 0.0400322 | − | 0.123207i | ||||
\(836\) | −11.8396 | −0.409479 | ||||||||
\(837\) | −1.10422 | + | 5.45717i | −0.0381676 | + | 0.188627i | ||||
\(838\) | 8.81360 | 0.304461 | ||||||||
\(839\) | 5.41266 | − | 16.6585i | 0.186866 | − | 0.575114i | −0.813110 | − | 0.582110i | \(-0.802227\pi\) |
0.999976 | + | 0.00699664i | \(0.00222712\pi\) | |||||||
\(840\) | 0.980649 | − | 1.08912i | 0.0338356 | − | 0.0375783i | ||||
\(841\) | −25.8917 | − | 18.8114i | −0.892818 | − | 0.648670i | ||||
\(842\) | 7.70293 | − | 13.3419i | 0.265460 | − | 0.459791i | ||||
\(843\) | −6.38483 | − | 11.0588i | −0.219905 | − | 0.380887i | ||||
\(844\) | 1.35288 | − | 12.8718i | 0.0465679 | − | 0.443064i | ||||
\(845\) | 19.6275 | − | 14.2602i | 0.675208 | − | 0.490567i | ||||
\(846\) | 0.986850 | + | 9.38925i | 0.0339286 | + | 0.322809i | ||||
\(847\) | −5.59150 | − | 6.20999i | −0.192126 | − | 0.213378i | ||||
\(848\) | 7.26445 | − | 3.23434i | 0.249462 | − | 0.111068i | ||||
\(849\) | 6.07704 | − | 1.29171i | 0.208563 | − | 0.0443315i | ||||
\(850\) | 0.833647 | + | 0.177197i | 0.0285939 | + | 0.00607781i | ||||
\(851\) | 27.7222 | + | 12.3427i | 0.950306 | + | 0.423104i | ||||
\(852\) | −1.04671 | − | 3.22144i | −0.0358596 | − | 0.110365i | ||||
\(853\) | 1.16323 | + | 3.58005i | 0.0398281 | + | 0.122578i | 0.968994 | − | 0.247085i | \(-0.0794728\pi\) |
−0.929166 | + | 0.369664i | \(0.879473\pi\) | |||||||
\(854\) | 16.7257 | + | 7.44674i | 0.572340 | + | 0.254822i | ||||
\(855\) | 2.83372 | + | 0.602327i | 0.0969113 | + | 0.0205991i | ||||
\(856\) | −9.94638 | + | 2.11417i | −0.339960 | + | 0.0722608i | ||||
\(857\) | 10.0182 | − | 4.46037i | 0.342214 | − | 0.152363i | −0.228432 | − | 0.973560i | \(-0.573360\pi\) |
0.570645 | + | 0.821197i | \(0.306693\pi\) | |||||||
\(858\) | −16.6924 | − | 18.5388i | −0.569871 | − | 0.632906i | ||||
\(859\) | −1.16557 | − | 11.0896i | −0.0397686 | − | 0.378373i | −0.996246 | − | 0.0865668i | \(-0.972410\pi\) |
0.956477 | − | 0.291806i | \(-0.0942563\pi\) | |||||||
\(860\) | −7.69309 | + | 5.58936i | −0.262332 | + | 0.190596i | ||||
\(861\) | 0.0996817 | − | 0.948408i | 0.00339714 | − | 0.0323217i | ||||
\(862\) | 11.1790 | + | 19.3625i | 0.380757 | + | 0.659490i | ||||
\(863\) | 14.1460 | − | 24.5016i | 0.481535 | − | 0.834043i | −0.518240 | − | 0.855235i | \(-0.673413\pi\) |
0.999775 | + | 0.0211920i | \(0.00674612\pi\) | |||||||
\(864\) | −0.809017 | − | 0.587785i | −0.0275233 | − | 0.0199969i | ||||
\(865\) | −0.00832553 | + | 0.00924644i | −0.000283076 | + | 0.000314388i | ||||
\(866\) | −6.95342 | + | 21.4004i | −0.236287 | + | 0.727216i | ||||
\(867\) | −16.2736 | −0.552682 | ||||||||
\(868\) | 7.78482 | + | 2.44544i | 0.264234 | + | 0.0830035i | ||||
\(869\) | −58.5515 | −1.98623 | ||||||||
\(870\) | −2.41358 | + | 7.42823i | −0.0818279 | + | 0.251840i | ||||
\(871\) | 25.0891 | − | 27.8643i | 0.850113 | − | 0.944146i | ||||
\(872\) | 6.02844 | + | 4.37991i | 0.204149 | + | 0.148323i | ||||
\(873\) | 5.04518 | − | 8.73850i | 0.170753 | − | 0.295753i | ||||
\(874\) | 4.81702 | + | 8.34333i | 0.162938 | + | 0.282217i | ||||
\(875\) | −0.153192 | + | 1.45753i | −0.00517885 | + | 0.0492735i | ||||
\(876\) | −6.05171 | + | 4.39683i | −0.204468 | + | 0.148555i | ||||
\(877\) | −0.297382 | − | 2.82940i | −0.0100419 | − | 0.0955420i | 0.988353 | − | 0.152179i | \(-0.0486290\pi\) |
−0.998395 | + | 0.0566368i | \(0.981962\pi\) | |||||||
\(878\) | −5.14307 | − | 5.71196i | −0.173570 | − | 0.192769i | ||||
\(879\) | 5.32433 | − | 2.37054i | 0.179585 | − | 0.0799564i | ||||
\(880\) | −3.99748 | + | 0.849691i | −0.134755 | + | 0.0286431i | ||||
\(881\) | −52.1040 | − | 11.0750i | −1.75543 | − | 0.373128i | −0.785946 | − | 0.618295i | \(-0.787824\pi\) |
−0.969481 | + | 0.245167i | \(0.921157\pi\) | |||||||
\(882\) | −4.43265 | − | 1.97354i | −0.149255 | − | 0.0664527i | ||||
\(883\) | −1.76246 | − | 5.42428i | −0.0593114 | − | 0.182542i | 0.917011 | − | 0.398862i | \(-0.130595\pi\) |
−0.976323 | + | 0.216320i | \(0.930595\pi\) | |||||||
\(884\) | −1.60763 | − | 4.94779i | −0.0540706 | − | 0.166412i | ||||
\(885\) | 9.31839 | + | 4.14882i | 0.313234 | + | 0.139461i | ||||
\(886\) | −12.2215 | − | 2.59776i | −0.410589 | − | 0.0872733i | ||||
\(887\) | 53.3634 | − | 11.3427i | 1.79177 | − | 0.380852i | 0.812425 | − | 0.583066i | \(-0.198147\pi\) |
0.979341 | + | 0.202214i | \(0.0648137\pi\) | |||||||
\(888\) | −8.33629 | + | 3.71156i | −0.279748 | + | 0.124552i | ||||
\(889\) | 8.79873 | + | 9.77197i | 0.295100 | + | 0.327742i | ||||
\(890\) | 1.78868 | + | 17.0181i | 0.0599566 | + | 0.570449i | ||||
\(891\) | 3.30628 | − | 2.40215i | 0.110765 | − | 0.0804752i | ||||
\(892\) | 1.05771 | − | 10.0635i | 0.0354149 | − | 0.336950i | ||||
\(893\) | 13.6754 | + | 23.6865i | 0.457630 | + | 0.792638i | ||||
\(894\) | −8.61907 | + | 14.9287i | −0.288265 | + | 0.499289i | ||||
\(895\) | −19.5865 | − | 14.2304i | −0.654705 | − | 0.475671i | ||||
\(896\) | −0.980649 | + | 1.08912i | −0.0327612 | + | 0.0363850i | ||||
\(897\) | −6.27285 | + | 19.3059i | −0.209444 | + | 0.644604i | ||||
\(898\) | 22.7142 | 0.757984 | ||||||||
\(899\) | −43.2022 | + | 4.96888i | −1.44087 | + | 0.165721i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | −2.09427 | + | 6.44550i | −0.0697702 | + | 0.214731i | ||||
\(902\) | −1.77939 | + | 1.97621i | −0.0592472 | + | 0.0658007i | ||||
\(903\) | −11.2747 | − | 8.19153i | −0.375197 | − | 0.272597i | ||||
\(904\) | −9.66167 | + | 16.7345i | −0.321342 | + | 0.556581i | ||||
\(905\) | −9.58905 | − | 16.6087i | −0.318751 | − | 0.552092i | ||||
\(906\) | 0.0317371 | − | 0.301958i | 0.00105439 | − | 0.0100319i | ||||
\(907\) | 42.8170 | − | 31.1084i | 1.42172 | − | 1.03294i | 0.430231 | − | 0.902719i | \(-0.358432\pi\) |
0.991485 | − | 0.130218i | \(-0.0415679\pi\) | |||||||
\(908\) | −1.27446 | − | 12.1256i | −0.0422943 | − | 0.402403i | ||||
\(909\) | −13.1920 | − | 14.6512i | −0.437550 | − | 0.485949i | ||||
\(910\) | 8.17260 | − | 3.63868i | 0.270919 | − | 0.120621i | ||||
\(911\) | 19.2719 | − | 4.09636i | 0.638505 | − | 0.135718i | 0.122727 | − | 0.992441i | \(-0.460836\pi\) |
0.515778 | + | 0.856722i | \(0.327503\pi\) | |||||||
\(912\) | −2.83372 | − | 0.602327i | −0.0938340 | − | 0.0199450i | ||||
\(913\) | 48.5761 | + | 21.6275i | 1.60763 | + | 0.715764i | ||||
\(914\) | −5.14591 | − | 15.8375i | −0.170212 | − | 0.523858i | ||||
\(915\) | 3.86040 | + | 11.8811i | 0.127621 | + | 0.392777i | ||||
\(916\) | 7.63330 | + | 3.39856i | 0.252211 | + | 0.112292i | ||||
\(917\) | 21.4987 | + | 4.56968i | 0.709948 | + | 0.150904i | ||||
\(918\) | 0.833647 | − | 0.177197i | 0.0275144 | − | 0.00584838i | ||||
\(919\) | 31.1107 | − | 13.8514i | 1.02625 | − | 0.456915i | 0.176610 | − | 0.984281i | \(-0.443487\pi\) |
0.849639 | + | 0.527365i | \(0.176820\pi\) | |||||||
\(920\) | 2.22519 | + | 2.47132i | 0.0733622 | + | 0.0814770i | ||||
\(921\) | 2.60569 | + | 24.7915i | 0.0858605 | + | 0.816908i | ||||
\(922\) | 3.08617 | − | 2.24223i | 0.101638 | − | 0.0738441i | ||||
\(923\) | 2.16125 | − | 20.5629i | 0.0711384 | − | 0.676837i | ||||
\(924\) | −2.99471 | − | 5.18699i | −0.0985188 | − | 0.170639i | ||||
\(925\) | 4.56260 | − | 7.90266i | 0.150017 | − | 0.259838i | ||||
\(926\) | 32.0577 | + | 23.2913i | 1.05348 | + | 0.765398i | ||||
\(927\) | 2.64115 | − | 2.93330i | 0.0867468 | − | 0.0963421i | ||||
\(928\) | 2.41358 | − | 7.42823i | 0.0792296 | − | 0.243844i | ||||
\(929\) | 14.5335 | 0.476827 | 0.238414 | − | 0.971164i | \(-0.423373\pi\) | ||||
0.238414 | + | 0.971164i | \(0.423373\pi\) | |||||||
\(930\) | 2.31431 | + | 5.06399i | 0.0758891 | + | 0.166055i | ||||
\(931\) | −14.0568 | −0.460693 | ||||||||
\(932\) | −4.44186 | + | 13.6707i | −0.145498 | + | 0.447797i | ||||
\(933\) | −10.2736 | + | 11.4100i | −0.336342 | + | 0.373546i | ||||
\(934\) | 27.4870 | + | 19.9705i | 0.899402 | + | 0.653454i | ||||
\(935\) | 1.74153 | − | 3.01641i | 0.0569540 | − | 0.0986472i | ||||
\(936\) | −3.05209 | − | 5.28637i | −0.0997606 | − | 0.172790i | ||||
\(937\) | 2.31534 | − | 22.0290i | 0.0756390 | − | 0.719657i | −0.889325 | − | 0.457275i | \(-0.848825\pi\) |
0.964964 | − | 0.262382i | \(-0.0845079\pi\) | |||||||
\(938\) | 7.28297 | − | 5.29139i | 0.237797 | − | 0.172770i | ||||
\(939\) | −0.835303 | − | 7.94738i | −0.0272591 | − | 0.259353i | ||||
\(940\) | 6.31724 | + | 7.01601i | 0.206046 | + | 0.228837i | ||||
\(941\) | 17.6228 | − | 7.84618i | 0.574487 | − | 0.255778i | −0.0988642 | − | 0.995101i | \(-0.531521\pi\) |
0.673351 | + | 0.739323i | \(0.264854\pi\) | |||||||
\(942\) | 19.2120 | − | 4.08364i | 0.625962 | − | 0.133052i | ||||
\(943\) | 2.11660 | + | 0.449896i | 0.0689258 | + | 0.0146506i | ||||
\(944\) | −9.31839 | − | 4.14882i | −0.303288 | − | 0.135032i | ||||
\(945\) | 0.452882 | + | 1.39383i | 0.0147323 | + | 0.0453412i | ||||
\(946\) | 12.0090 | + | 36.9600i | 0.390447 | + | 1.20167i | ||||
\(947\) | 4.64790 | + | 2.06938i | 0.151036 | + | 0.0672457i | 0.480863 | − | 0.876796i | \(-0.340324\pi\) |
−0.329826 | + | 0.944042i | \(0.606990\pi\) | |||||||
\(948\) | −14.0140 | − | 2.97876i | −0.455152 | − | 0.0967456i | ||||
\(949\) | −44.6635 | + | 9.49351i | −1.44984 | + | 0.308172i | ||||
\(950\) | 2.64657 | − | 1.17833i | 0.0858661 | − | 0.0382300i | ||||
\(951\) | −9.62972 | − | 10.6949i | −0.312265 | − | 0.346805i | ||||
\(952\) | −0.130562 | − | 1.24221i | −0.00423152 | − | 0.0402603i | ||||
\(953\) | −6.35634 | + | 4.61815i | −0.205902 | + | 0.149596i | −0.685958 | − | 0.727642i | \(-0.740616\pi\) |
0.480056 | + | 0.877238i | \(0.340616\pi\) | |||||||
\(954\) | −0.831203 | + | 7.90836i | −0.0269112 | + | 0.256043i | ||||
\(955\) | −1.24474 | − | 2.15595i | −0.0402788 | − | 0.0697649i | ||||
\(956\) | −14.4998 | + | 25.1144i | −0.468957 | + | 0.812257i | ||||
\(957\) | 25.8237 | + | 18.7620i | 0.834762 | + | 0.606490i | ||||
\(958\) | −15.6611 | + | 17.3934i | −0.505986 | + | 0.561955i | ||||
\(959\) | −0.530200 | + | 1.63179i | −0.0171210 | + | 0.0526932i | ||||
\(960\) | −1.00000 | −0.0322749 | ||||||||
\(961\) | −20.2880 | + | 23.4393i | −0.654450 | + | 0.756105i | ||||
\(962\) | −55.7019 | −1.79590 | ||||||||
\(963\) | 3.14227 | − | 9.67090i | 0.101258 | − | 0.311640i | ||||
\(964\) | 0.591085 | − | 0.656466i | 0.0190376 | − | 0.0211434i | ||||
\(965\) | −7.61362 | − | 5.53162i | −0.245091 | − | 0.178069i | ||||
\(966\) | −2.43685 | + | 4.22074i | −0.0784043 | + | 0.135800i | ||||
\(967\) | 11.5467 | + | 19.9996i | 0.371318 | + | 0.643142i | 0.989769 | − | 0.142682i | \(-0.0455725\pi\) |
−0.618450 | + | 0.785824i | \(0.712239\pi\) | |||||||
\(968\) | −0.596004 | + | 5.67060i | −0.0191563 | + | 0.182260i | ||||
\(969\) | 1.99751 | − | 1.45127i | 0.0641692 | − | 0.0466217i | ||||
\(970\) | −1.05473 | − | 10.0351i | −0.0338653 | − | 0.322207i | ||||
\(971\) | −24.2029 | − | 26.8800i | −0.776707 | − | 0.862620i | 0.216821 | − | 0.976211i | \(-0.430431\pi\) |
−0.993528 | + | 0.113591i | \(0.963765\pi\) | |||||||
\(972\) | 0.913545 | − | 0.406737i | 0.0293020 | − | 0.0130461i | ||||
\(973\) | −23.1890 | + | 4.92898i | −0.743406 | + | 0.158016i | ||||
\(974\) | −13.9546 | − | 2.96615i | −0.447135 | − | 0.0950416i | ||||
\(975\) | 5.57644 | + | 2.48279i | 0.178589 | + | 0.0795130i | ||||
\(976\) | −3.86040 | − | 11.8811i | −0.123568 | − | 0.380305i | ||||
\(977\) | −2.39873 | − | 7.38254i | −0.0767423 | − | 0.236188i | 0.905325 | − | 0.424720i | \(-0.139627\pi\) |
−0.982067 | + | 0.188531i | \(0.939627\pi\) | |||||||
\(978\) | 9.89416 | + | 4.40516i | 0.316380 | + | 0.140862i | ||||
\(979\) | 68.4044 | + | 14.5398i | 2.18621 | + | 0.464694i | ||||
\(980\) | −4.74611 | + | 1.00882i | −0.151609 | + | 0.0322255i | ||||
\(981\) | −6.80734 | + | 3.03082i | −0.217341 | + | 0.0967667i | ||||
\(982\) | −10.9217 | − | 12.1298i | −0.348526 | − | 0.387077i | ||||
\(983\) | 5.15771 | + | 49.0724i | 0.164506 | + | 1.56517i | 0.695961 | + | 0.718079i | \(0.254979\pi\) |
−0.531456 | + | 0.847086i | \(0.678355\pi\) | |||||||
\(984\) | −0.526424 | + | 0.382469i | −0.0167818 | + | 0.0121927i | ||||
\(985\) | 0.390192 | − | 3.71242i | 0.0124325 | − | 0.118288i | ||||
\(986\) | 3.32833 | + | 5.76484i | 0.105996 | + | 0.183590i | ||||
\(987\) | −6.91814 | + | 11.9826i | −0.220207 | + | 0.381410i | ||||
\(988\) | −14.3067 | − | 10.3944i | −0.455155 | − | 0.330690i | ||||
\(989\) | 21.1597 | − | 23.5002i | 0.672839 | − | 0.747264i | ||||
\(990\) | 1.26289 | − | 3.88677i | 0.0401372 | − | 0.123530i | ||||
\(991\) | −24.5107 | −0.778609 | −0.389305 | − | 0.921109i | \(-0.627285\pi\) | ||||
−0.389305 | + | 0.921109i | \(0.627285\pi\) | |||||||
\(992\) | −2.31431 | − | 5.06399i | −0.0734793 | − | 0.160782i | ||||
\(993\) | −9.60257 | −0.304728 | ||||||||
\(994\) | 1.53401 | − | 4.72120i | 0.0486559 | − | 0.149747i | ||||
\(995\) | −0.158048 | + | 0.175530i | −0.00501046 | + | 0.00556468i | ||||
\(996\) | 10.5261 | + | 7.64766i | 0.333532 | + | 0.242326i | ||||
\(997\) | 22.4991 | − | 38.9696i | 0.712554 | − | 1.23418i | −0.251341 | − | 0.967898i | \(-0.580872\pi\) |
0.963895 | − | 0.266281i | \(-0.0857950\pi\) | |||||||
\(998\) | 17.3086 | + | 29.9795i | 0.547896 | + | 0.948983i | ||||
\(999\) | 0.953844 | − | 9.07522i | 0.0301783 | − | 0.287127i |
(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.d.541.2 | yes | 16 | |
31.20 | even | 15 | inner | 930.2.bg.d.361.2 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.d.361.2 | ✓ | 16 | 31.20 | even | 15 | inner | |
930.2.bg.d.541.2 | yes | 16 | 1.1 | even | 1 | trivial |