Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(155,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.ba (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 155.6 | ||
Character | \(\chi\) | \(=\) | 252.155 |
Dual form | 252.2.ba.a.239.6 |
$q$-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 \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24454 | + | 0.671660i | −0.880021 | + | 0.474935i | ||||
\(3\) | −0.586217 | − | 1.62983i | −0.338453 | − | 0.940983i | ||||
\(4\) | 1.09775 | − | 1.67181i | 0.548873 | − | 0.835906i | ||||
\(5\) | −2.16781 | + | 1.25159i | −0.969474 | + | 0.559726i | −0.899076 | − | 0.437793i | \(-0.855760\pi\) |
−0.0703980 | + | 0.997519i | \(0.522427\pi\) | |||||||
\(6\) | 1.82426 | + | 1.63465i | 0.744751 | + | 0.667342i | ||||
\(7\) | −0.866025 | − | 0.500000i | −0.327327 | − | 0.188982i | ||||
\(8\) | −0.243298 | + | 2.81794i | −0.0860189 | + | 0.996294i | ||||
\(9\) | −2.31270 | + | 1.91087i | −0.770900 | + | 0.636957i | ||||
\(10\) | 1.85728 | − | 3.01367i | 0.587324 | − | 0.953008i | ||||
\(11\) | 0.351433 | − | 0.608700i | 0.105961 | − | 0.183530i | −0.808169 | − | 0.588950i | \(-0.799541\pi\) |
0.914130 | + | 0.405420i | \(0.132875\pi\) | |||||||
\(12\) | −3.36829 | − | 0.809097i | −0.972341 | − | 0.233566i | ||||
\(13\) | 1.55324 | + | 2.69030i | 0.430792 | + | 0.746154i | 0.996942 | − | 0.0781487i | \(-0.0249009\pi\) |
−0.566150 | + | 0.824302i | \(0.691568\pi\) | |||||||
\(14\) | 1.41363 | + | 0.0405943i | 0.377809 | + | 0.0108493i | ||||
\(15\) | 3.31068 | + | 2.79946i | 0.854814 | + | 0.722818i | ||||
\(16\) | −1.58991 | − | 3.67045i | −0.397476 | − | 0.917612i | ||||
\(17\) | 7.91554i | 1.91980i | 0.280343 | + | 0.959900i | \(0.409552\pi\) | ||||
−0.280343 | + | 0.959900i | \(0.590448\pi\) | |||||||
\(18\) | 1.59479 | − | 3.93150i | 0.375895 | − | 0.926662i | ||||
\(19\) | 2.37413i | 0.544662i | 0.962204 | + | 0.272331i | \(0.0877945\pi\) | ||||
−0.962204 | + | 0.272331i | \(0.912205\pi\) | |||||||
\(20\) | −0.287291 | + | 4.99809i | −0.0642401 | + | 1.11761i | ||||
\(21\) | −0.307237 | + | 1.70458i | −0.0670445 | + | 0.371971i | ||||
\(22\) | −0.0285324 | + | 0.993594i | −0.00608312 | + | 0.211835i | ||||
\(23\) | 0.346619 | + | 0.600362i | 0.0722751 | + | 0.125184i | 0.899898 | − | 0.436100i | \(-0.143641\pi\) |
−0.827623 | + | 0.561284i | \(0.810307\pi\) | |||||||
\(24\) | 4.73540 | − | 1.25539i | 0.966609 | − | 0.256256i | ||||
\(25\) | 0.632931 | − | 1.09627i | 0.126586 | − | 0.219254i | ||||
\(26\) | −3.74003 | − | 2.30492i | −0.733481 | − | 0.452033i | ||||
\(27\) | 4.47014 | + | 2.64912i | 0.860279 | + | 0.509824i | ||||
\(28\) | −1.78658 | + | 0.898958i | −0.337632 | + | 0.169887i | ||||
\(29\) | −8.70126 | − | 5.02368i | −1.61578 | − | 0.932873i | −0.987994 | − | 0.154490i | \(-0.950627\pi\) |
−0.627789 | − | 0.778383i | \(-0.716040\pi\) | |||||||
\(30\) | −6.00055 | − | 1.26039i | −1.09555 | − | 0.230114i | ||||
\(31\) | −7.34846 | + | 4.24264i | −1.31982 | + | 0.762000i | −0.983700 | − | 0.179818i | \(-0.942449\pi\) |
−0.336123 | + | 0.941818i | \(0.609116\pi\) | |||||||
\(32\) | 4.44399 | + | 3.50014i | 0.785594 | + | 0.618743i | ||||
\(33\) | −1.19809 | − | 0.215946i | −0.208561 | − | 0.0375914i | ||||
\(34\) | −5.31655 | − | 9.85118i | −0.911780 | − | 1.68946i | ||||
\(35\) | 2.50317 | 0.423113 | ||||||||
\(36\) | 0.655856 | + | 5.96405i | 0.109309 | + | 0.994008i | ||||
\(37\) | 2.85107 | 0.468712 | 0.234356 | − | 0.972151i | \(-0.424702\pi\) | ||||
0.234356 | + | 0.972151i | \(0.424702\pi\) | |||||||
\(38\) | −1.59460 | − | 2.95469i | −0.258679 | − | 0.479314i | ||||
\(39\) | 3.47419 | − | 4.10862i | 0.556316 | − | 0.657906i | ||||
\(40\) | −2.99947 | − | 6.41327i | −0.474258 | − | 1.01403i | ||||
\(41\) | 5.82034 | − | 3.36037i | 0.908984 | − | 0.524802i | 0.0288798 | − | 0.999583i | \(-0.490806\pi\) |
0.880104 | + | 0.474781i | \(0.157473\pi\) | |||||||
\(42\) | −0.762533 | − | 2.32778i | −0.117661 | − | 0.359184i | ||||
\(43\) | −3.17043 | − | 1.83045i | −0.483485 | − | 0.279140i | 0.238383 | − | 0.971171i | \(-0.423383\pi\) |
−0.721868 | + | 0.692031i | \(0.756716\pi\) | |||||||
\(44\) | −0.631847 | − | 1.25573i | −0.0952545 | − | 0.189308i | ||||
\(45\) | 2.62187 | − | 7.03694i | 0.390846 | − | 1.04901i | ||||
\(46\) | −0.834620 | − | 0.514363i | −0.123058 | − | 0.0758387i | ||||
\(47\) | −3.67787 | + | 6.37026i | −0.536473 | + | 0.929198i | 0.462618 | + | 0.886558i | \(0.346910\pi\) |
−0.999091 | + | 0.0426400i | \(0.986423\pi\) | |||||||
\(48\) | −5.05018 | + | 4.74296i | −0.728931 | + | 0.684587i | ||||
\(49\) | 0.500000 | + | 0.866025i | 0.0714286 | + | 0.123718i | ||||
\(50\) | −0.0513868 | + | 1.78946i | −0.00726719 | + | 0.253068i | ||||
\(51\) | 12.9010 | − | 4.64022i | 1.80650 | − | 0.649761i | ||||
\(52\) | 6.20273 | + | 0.356534i | 0.860164 | + | 0.0494423i | ||||
\(53\) | 0.889576i | 0.122193i | 0.998132 | + | 0.0610964i | \(0.0194597\pi\) | ||||
−0.998132 | + | 0.0610964i | \(0.980540\pi\) | |||||||
\(54\) | −7.34256 | − | 0.294523i | −0.999196 | − | 0.0400795i | ||||
\(55\) | 1.75939i | 0.237237i | ||||||||
\(56\) | 1.61967 | − | 2.31876i | 0.216438 | − | 0.309858i | ||||
\(57\) | 3.86942 | − | 1.39175i | 0.512518 | − | 0.184342i | ||||
\(58\) | 14.2032 | + | 0.407865i | 1.86498 | + | 0.0535553i | ||||
\(59\) | −3.63052 | − | 6.28824i | −0.472653 | − | 0.818660i | 0.526857 | − | 0.849954i | \(-0.323370\pi\) |
−0.999510 | + | 0.0312945i | \(0.990037\pi\) | |||||||
\(60\) | 8.31446 | − | 2.46173i | 1.07339 | − | 0.317808i | ||||
\(61\) | −2.39732 | + | 4.15228i | −0.306946 | + | 0.531645i | −0.977693 | − | 0.210041i | \(-0.932640\pi\) |
0.670747 | + | 0.741686i | \(0.265974\pi\) | |||||||
\(62\) | 6.29583 | − | 10.2158i | 0.799571 | − | 1.29741i | ||||
\(63\) | 2.95829 | − | 0.498512i | 0.372710 | − | 0.0628066i | ||||
\(64\) | −7.88161 | − | 1.37120i | −0.985201 | − | 0.171400i | ||||
\(65\) | −6.73427 | − | 3.88803i | −0.835283 | − | 0.482251i | ||||
\(66\) | 1.63612 | − | 0.535959i | 0.201392 | − | 0.0659719i | ||||
\(67\) | 7.40811 | − | 4.27707i | 0.905044 | − | 0.522528i | 0.0262109 | − | 0.999656i | \(-0.491656\pi\) |
0.878833 | + | 0.477129i | \(0.158323\pi\) | |||||||
\(68\) | 13.2333 | + | 8.68925i | 1.60477 | + | 1.05373i | ||||
\(69\) | 0.775295 | − | 0.916874i | 0.0933345 | − | 0.110379i | ||||
\(70\) | −3.11529 | + | 1.68128i | −0.372348 | + | 0.200951i | ||||
\(71\) | −6.34514 | −0.753030 | −0.376515 | − | 0.926411i | \(-0.622878\pi\) | ||||
−0.376515 | + | 0.926411i | \(0.622878\pi\) | |||||||
\(72\) | −4.82205 | − | 6.98197i | −0.568284 | − | 0.822833i | ||||
\(73\) | 8.20222 | 0.959998 | 0.479999 | − | 0.877269i | \(-0.340637\pi\) | ||||
0.479999 | + | 0.877269i | \(0.340637\pi\) | |||||||
\(74\) | −3.54826 | + | 1.91495i | −0.412477 | + | 0.222608i | ||||
\(75\) | −2.15777 | − | 0.388920i | −0.249158 | − | 0.0449086i | ||||
\(76\) | 3.96909 | + | 2.60619i | 0.455286 | + | 0.298950i | ||||
\(77\) | −0.608700 | + | 0.351433i | −0.0693678 | + | 0.0400495i | ||||
\(78\) | −1.56416 | + | 7.44681i | −0.177107 | + | 0.843185i | ||||
\(79\) | −2.27268 | − | 1.31214i | −0.255697 | − | 0.147627i | 0.366673 | − | 0.930350i | \(-0.380497\pi\) |
−0.622370 | + | 0.782723i | \(0.713830\pi\) | |||||||
\(80\) | 8.04049 | + | 5.96693i | 0.898954 | + | 0.667123i | ||||
\(81\) | 1.69715 | − | 8.83853i | 0.188573 | − | 0.982059i | ||||
\(82\) | −4.98660 | + | 8.09139i | −0.550678 | + | 0.893545i | ||||
\(83\) | 6.50432 | − | 11.2658i | 0.713942 | − | 1.23658i | −0.249425 | − | 0.968394i | \(-0.580241\pi\) |
0.963366 | − | 0.268189i | \(-0.0864252\pi\) | |||||||
\(84\) | 2.51247 | + | 2.38484i | 0.274133 | + | 0.260208i | ||||
\(85\) | −9.90697 | − | 17.1594i | −1.07456 | − | 1.86120i | ||||
\(86\) | 5.17515 | + | 0.148611i | 0.558051 | + | 0.0160252i | ||||
\(87\) | −3.08692 | + | 17.1266i | −0.330952 | + | 1.83616i | ||||
\(88\) | 1.62978 | + | 1.13841i | 0.173735 | + | 0.121355i | ||||
\(89\) | 1.71842i | 0.182152i | 0.995844 | + | 0.0910760i | \(0.0290306\pi\) | ||||
−0.995844 | + | 0.0910760i | \(0.970969\pi\) | |||||||
\(90\) | 1.46341 | + | 10.5187i | 0.154257 | + | 1.10877i | ||||
\(91\) | − | 3.10649i | − | 0.325648i | ||||||
\(92\) | 1.38419 | + | 0.0795635i | 0.144312 | + | 0.00829507i | ||||
\(93\) | 11.2226 | + | 9.48965i | 1.16373 | + | 0.984031i | ||||
\(94\) | 0.298601 | − | 10.3983i | 0.0307984 | − | 1.07250i | ||||
\(95\) | −2.97142 | − | 5.14665i | −0.304861 | − | 0.528035i | ||||
\(96\) | 3.09949 | − | 9.29479i | 0.316340 | − | 0.948646i | ||||
\(97\) | −6.81083 | + | 11.7967i | −0.691535 | + | 1.19777i | 0.279800 | + | 0.960058i | \(0.409732\pi\) |
−0.971335 | + | 0.237716i | \(0.923601\pi\) | |||||||
\(98\) | −1.20394 | − | 0.741971i | −0.121617 | − | 0.0749504i | ||||
\(99\) | 0.350387 | + | 2.07928i | 0.0352153 | + | 0.208976i | ||||
\(100\) | −1.13796 | − | 2.26157i | −0.113796 | − | 0.226157i | ||||
\(101\) | 2.23784 | + | 1.29202i | 0.222673 | + | 0.128560i | 0.607187 | − | 0.794559i | \(-0.292298\pi\) |
−0.384514 | + | 0.923119i | \(0.625631\pi\) | |||||||
\(102\) | −12.9391 | + | 14.4400i | −1.28116 | + | 1.42977i | ||||
\(103\) | −11.6579 | + | 6.73069i | −1.14869 | + | 0.663195i | −0.948567 | − | 0.316576i | \(-0.897467\pi\) |
−0.200120 | + | 0.979771i | \(0.564133\pi\) | |||||||
\(104\) | −7.95900 | + | 3.72241i | −0.780444 | + | 0.365012i | ||||
\(105\) | −1.46740 | − | 4.07975i | −0.143204 | − | 0.398142i | ||||
\(106\) | −0.597493 | − | 1.10711i | −0.0580336 | − | 0.107532i | ||||
\(107\) | −17.0371 | −1.64703 | −0.823517 | − | 0.567291i | \(-0.807991\pi\) | ||||
−0.823517 | + | 0.567291i | \(0.807991\pi\) | |||||||
\(108\) | 9.33592 | − | 4.56516i | 0.898349 | − | 0.439283i | ||||
\(109\) | −2.43459 | −0.233191 | −0.116596 | − | 0.993179i | \(-0.537198\pi\) | ||||
−0.116596 | + | 0.993179i | \(0.537198\pi\) | |||||||
\(110\) | −1.18171 | − | 2.18963i | −0.112672 | − | 0.208773i | ||||
\(111\) | −1.67134 | − | 4.64675i | −0.158637 | − | 0.441050i | ||||
\(112\) | −0.458326 | + | 3.97366i | −0.0433078 | + | 0.375475i | ||||
\(113\) | −4.13789 | + | 2.38901i | −0.389260 | + | 0.224739i | −0.681839 | − | 0.731502i | \(-0.738820\pi\) |
0.292580 | + | 0.956241i | \(0.405486\pi\) | |||||||
\(114\) | −3.88086 | + | 4.33103i | −0.363476 | + | 0.405638i | ||||
\(115\) | −1.50281 | − | 0.867647i | −0.140138 | − | 0.0809085i | ||||
\(116\) | −17.9504 | + | 9.03215i | −1.66665 | + | 0.838614i | ||||
\(117\) | −8.73299 | − | 3.25380i | −0.807365 | − | 0.300814i | ||||
\(118\) | 8.74188 | + | 5.38748i | 0.804755 | + | 0.495958i | ||||
\(119\) | 3.95777 | − | 6.85506i | 0.362808 | − | 0.628402i | ||||
\(120\) | −8.69421 | + | 8.64820i | −0.793669 | + | 0.789469i | ||||
\(121\) | 5.25299 | + | 9.09844i | 0.477544 | + | 0.827131i | ||||
\(122\) | 0.194635 | − | 6.77786i | 0.0176214 | − | 0.613638i | ||||
\(123\) | −8.88882 | − | 7.51626i | −0.801478 | − | 0.677718i | ||||
\(124\) | −0.973861 | + | 16.9426i | −0.0874553 | + | 1.52149i | ||||
\(125\) | − | 9.34718i | − | 0.836037i | ||||||
\(126\) | −3.34687 | + | 2.60738i | −0.298163 | + | 0.232284i | ||||
\(127\) | 4.91393i | 0.436041i | 0.975944 | + | 0.218020i | \(0.0699599\pi\) | ||||
−0.975944 | + | 0.218020i | \(0.930040\pi\) | |||||||
\(128\) | 10.7299 | − | 3.58725i | 0.948402 | − | 0.317071i | ||||
\(129\) | −1.12476 | + | 6.24030i | −0.0990296 | + | 0.549427i | ||||
\(130\) | 10.9925 | + | 0.315664i | 0.964105 | + | 0.0276855i | ||||
\(131\) | 2.61968 | + | 4.53741i | 0.228882 | + | 0.396435i | 0.957477 | − | 0.288509i | \(-0.0931596\pi\) |
−0.728595 | + | 0.684945i | \(0.759826\pi\) | |||||||
\(132\) | −1.67623 | + | 1.76593i | −0.145897 | + | 0.153705i | ||||
\(133\) | 1.18706 | − | 2.05605i | 0.102931 | − | 0.178282i | ||||
\(134\) | −6.34693 | + | 10.2987i | −0.548291 | + | 0.889672i | ||||
\(135\) | −13.0060 | − | 0.148038i | −1.11938 | − | 0.0127411i | ||||
\(136\) | −22.3055 | − | 1.92584i | −1.91268 | − | 0.165139i | ||||
\(137\) | 9.03659 | + | 5.21728i | 0.772048 | + | 0.445742i | 0.833605 | − | 0.552361i | \(-0.186273\pi\) |
−0.0615566 | + | 0.998104i | \(0.519606\pi\) | |||||||
\(138\) | −0.349056 | + | 1.66182i | −0.0297137 | + | 0.141463i | ||||
\(139\) | −10.2848 | + | 5.93796i | −0.872349 | + | 0.503651i | −0.868128 | − | 0.496340i | \(-0.834677\pi\) |
−0.00422072 | + | 0.999991i | \(0.501344\pi\) | |||||||
\(140\) | 2.74785 | − | 4.18483i | 0.232235 | − | 0.353683i | ||||
\(141\) | 12.5385 | + | 2.25995i | 1.05593 | + | 0.190322i | ||||
\(142\) | 7.89677 | − | 4.26178i | 0.662682 | − | 0.357640i | ||||
\(143\) | 2.18344 | 0.182589 | ||||||||
\(144\) | 10.6907 | + | 5.45054i | 0.890894 | + | 0.454212i | ||||
\(145\) | 25.1502 | 2.08861 | ||||||||
\(146\) | −10.2080 | + | 5.50910i | −0.844818 | + | 0.455937i | ||||
\(147\) | 1.11837 | − | 1.32259i | 0.0922413 | − | 0.109086i | ||||
\(148\) | 3.12975 | − | 4.76644i | 0.257264 | − | 0.391799i | ||||
\(149\) | 15.3300 | − | 8.85079i | 1.25588 | − | 0.725085i | 0.283612 | − | 0.958939i | \(-0.408467\pi\) |
0.972272 | + | 0.233854i | \(0.0751337\pi\) | |||||||
\(150\) | 2.94665 | − | 0.965262i | 0.240593 | − | 0.0788133i | ||||
\(151\) | 18.1796 | + | 10.4960i | 1.47944 | + | 0.854152i | 0.999729 | − | 0.0232767i | \(-0.00740988\pi\) |
0.479706 | + | 0.877429i | \(0.340743\pi\) | |||||||
\(152\) | −6.69015 | − | 0.577621i | −0.542643 | − | 0.0468512i | ||||
\(153\) | −15.1256 | − | 18.3063i | −1.22283 | − | 1.47997i | ||||
\(154\) | 0.521507 | − | 0.846211i | 0.0420242 | − | 0.0681896i | ||||
\(155\) | 10.6200 | − | 18.3945i | 0.853022 | − | 1.47748i | ||||
\(156\) | −3.05506 | − | 10.3184i | −0.244600 | − | 0.826134i | ||||
\(157\) | −0.841990 | − | 1.45837i | −0.0671981 | − | 0.116391i | 0.830469 | − | 0.557065i | \(-0.188073\pi\) |
−0.897667 | + | 0.440675i | \(0.854739\pi\) | |||||||
\(158\) | 3.70975 | + | 0.106530i | 0.295132 | + | 0.00847510i | ||||
\(159\) | 1.44986 | − | 0.521485i | 0.114981 | − | 0.0413564i | ||||
\(160\) | −14.0144 | − | 2.02560i | −1.10794 | − | 0.160137i | ||||
\(161\) | − | 0.693239i | − | 0.0546349i | ||||||
\(162\) | 3.82431 | + | 12.1398i | 0.300467 | + | 0.953792i | ||||
\(163\) | 14.9299i | 1.16940i | 0.811249 | + | 0.584700i | \(0.198788\pi\) | ||||
−0.811249 | + | 0.584700i | \(0.801212\pi\) | |||||||
\(164\) | 0.771345 | − | 13.4193i | 0.0602319 | − | 1.04787i | ||||
\(165\) | 2.86752 | − | 1.03139i | 0.223236 | − | 0.0802934i | ||||
\(166\) | −0.528076 | + | 18.3894i | −0.0409867 | + | 1.42729i | ||||
\(167\) | −1.17066 | − | 2.02764i | −0.0905885 | − | 0.156904i | 0.817170 | − | 0.576396i | \(-0.195541\pi\) |
−0.907759 | + | 0.419492i | \(0.862208\pi\) | |||||||
\(168\) | −4.72867 | − | 1.28050i | −0.364825 | − | 0.0987926i | ||||
\(169\) | 1.67487 | − | 2.90097i | 0.128836 | − | 0.223151i | ||||
\(170\) | 23.8549 | + | 14.7014i | 1.82958 | + | 1.12754i | ||||
\(171\) | −4.53665 | − | 5.49064i | −0.346926 | − | 0.419880i | ||||
\(172\) | −6.54048 | + | 3.29099i | −0.498707 | + | 0.250935i | ||||
\(173\) | 0.875908 | + | 0.505706i | 0.0665940 | + | 0.0384481i | 0.532927 | − | 0.846161i | \(-0.321092\pi\) |
−0.466333 | + | 0.884609i | \(0.654425\pi\) | |||||||
\(174\) | −7.66143 | − | 23.3880i | −0.580812 | − | 1.77304i | ||||
\(175\) | −1.09627 | + | 0.632931i | −0.0828702 | + | 0.0478451i | ||||
\(176\) | −2.79295 | − | 0.322142i | −0.210526 | − | 0.0242824i | ||||
\(177\) | −8.12050 | + | 9.60341i | −0.610374 | + | 0.721836i | ||||
\(178\) | −1.15419 | − | 2.13864i | −0.0865104 | − | 0.160298i | ||||
\(179\) | 11.8651 | 0.886837 | 0.443419 | − | 0.896315i | \(-0.353765\pi\) | ||||
0.443419 | + | 0.896315i | \(0.353765\pi\) | |||||||
\(180\) | −8.88628 | − | 12.1081i | −0.662344 | − | 0.902481i | ||||
\(181\) | −11.7216 | −0.871262 | −0.435631 | − | 0.900125i | \(-0.643475\pi\) | ||||
−0.435631 | + | 0.900125i | \(0.643475\pi\) | |||||||
\(182\) | 2.08650 | + | 3.86614i | 0.154662 | + | 0.286577i | ||||
\(183\) | 8.17287 | + | 1.47309i | 0.604156 | + | 0.108894i | ||||
\(184\) | −1.77612 | + | 0.830687i | −0.130937 | + | 0.0612390i | ||||
\(185\) | −6.18057 | + | 3.56835i | −0.454404 | + | 0.262350i | ||||
\(186\) | −20.3407 | − | 4.27247i | −1.49145 | − | 0.313273i | ||||
\(187\) | 4.81819 | + | 2.78178i | 0.352341 | + | 0.203424i | ||||
\(188\) | 6.61250 | + | 13.1416i | 0.482266 | + | 0.958452i | ||||
\(189\) | −2.54669 | − | 4.52928i | −0.185245 | − | 0.329457i | ||||
\(190\) | 7.15484 | + | 4.40942i | 0.519067 | + | 0.319893i | ||||
\(191\) | −3.38132 | + | 5.85662i | −0.244664 | + | 0.423770i | −0.962037 | − | 0.272919i | \(-0.912011\pi\) |
0.717373 | + | 0.696689i | \(0.245344\pi\) | |||||||
\(192\) | 2.38551 | + | 13.6495i | 0.172159 | + | 0.985069i | ||||
\(193\) | −1.38307 | − | 2.39554i | −0.0995553 | − | 0.172435i | 0.811945 | − | 0.583733i | \(-0.198409\pi\) |
−0.911501 | + | 0.411299i | \(0.865075\pi\) | |||||||
\(194\) | 0.552962 | − | 19.2560i | 0.0397003 | − | 1.38250i | ||||
\(195\) | −2.38909 | + | 13.2550i | −0.171086 | + | 0.949207i | ||||
\(196\) | 1.99670 | + | 0.114771i | 0.142622 | + | 0.00819791i | ||||
\(197\) | 17.2636i | 1.22998i | 0.788536 | + | 0.614989i | \(0.210839\pi\) | ||||
−0.788536 | + | 0.614989i | \(0.789161\pi\) | |||||||
\(198\) | −1.83264 | − | 2.35240i | −0.130240 | − | 0.167178i | ||||
\(199\) | − | 14.4922i | − | 1.02732i | −0.857993 | − | 0.513662i | \(-0.828289\pi\) | ||
0.857993 | − | 0.513662i | \(-0.171711\pi\) | |||||||
\(200\) | 2.93523 | + | 2.05029i | 0.207552 | + | 0.144977i | ||||
\(201\) | −11.3137 | − | 9.56667i | −0.798004 | − | 0.674781i | ||||
\(202\) | −3.65287 | − | 0.104897i | −0.257015 | − | 0.00738052i | ||||
\(203\) | 5.02368 | + | 8.70126i | 0.352593 | + | 0.610709i | ||||
\(204\) | 6.40444 | − | 26.6618i | 0.448400 | − | 1.86670i | ||||
\(205\) | −8.41159 | + | 14.5693i | −0.587491 | + | 1.01756i | ||||
\(206\) | 9.98796 | − | 16.2067i | 0.695894 | − | 1.12918i | ||||
\(207\) | −1.94884 | − | 0.726113i | −0.135454 | − | 0.0504683i | ||||
\(208\) | 7.40509 | − | 9.97842i | 0.513450 | − | 0.691879i | ||||
\(209\) | 1.44513 | + | 0.834347i | 0.0999618 | + | 0.0577130i | ||||
\(210\) | 4.56644 | + | 4.09180i | 0.315114 | + | 0.282361i | ||||
\(211\) | 22.1795 | − | 12.8053i | 1.52690 | − | 0.881555i | 0.527407 | − | 0.849612i | \(-0.323164\pi\) |
0.999490 | − | 0.0319420i | \(-0.0101692\pi\) | |||||||
\(212\) | 1.48720 | + | 0.976529i | 0.102142 | + | 0.0670683i | ||||
\(213\) | 3.71963 | + | 10.3415i | 0.254865 | + | 0.708589i | ||||
\(214\) | 21.2033 | − | 11.4431i | 1.44942 | − | 0.782235i | ||||
\(215\) | 9.16384 | 0.624968 | ||||||||
\(216\) | −8.55266 | + | 11.9521i | −0.581935 | + | 0.813235i | ||||
\(217\) | 8.48527 | 0.576018 | ||||||||
\(218\) | 3.02994 | − | 1.63522i | 0.205213 | − | 0.110751i | ||||
\(219\) | −4.80828 | − | 13.3682i | −0.324914 | − | 0.903342i | ||||
\(220\) | 2.94138 | + | 1.93137i | 0.198307 | + | 0.130213i | ||||
\(221\) | −21.2951 | + | 12.2948i | −1.43247 | + | 0.827035i | ||||
\(222\) | 5.20109 | + | 4.66049i | 0.349074 | + | 0.312791i | ||||
\(223\) | 13.2137 | + | 7.62891i | 0.884853 | + | 0.510870i | 0.872255 | − | 0.489051i | \(-0.162657\pi\) |
0.0125973 | + | 0.999921i | \(0.495990\pi\) | |||||||
\(224\) | −2.09854 | − | 5.25320i | −0.140215 | − | 0.350994i | ||||
\(225\) | 0.631048 | + | 3.74479i | 0.0420699 | + | 0.249653i | ||||
\(226\) | 3.54515 | − | 5.75247i | 0.235820 | − | 0.382648i | ||||
\(227\) | −3.88279 | + | 6.72519i | −0.257710 | + | 0.446367i | −0.965628 | − | 0.259928i | \(-0.916301\pi\) |
0.707918 | + | 0.706295i | \(0.249635\pi\) | |||||||
\(228\) | 1.92090 | − | 7.99674i | 0.127215 | − | 0.529597i | ||||
\(229\) | −5.70048 | − | 9.87351i | −0.376698 | − | 0.652460i | 0.613882 | − | 0.789398i | \(-0.289607\pi\) |
−0.990580 | + | 0.136938i | \(0.956274\pi\) | |||||||
\(230\) | 2.45307 | + | 0.0704431i | 0.161750 | + | 0.00464488i | ||||
\(231\) | 0.929607 | + | 0.786062i | 0.0611637 | + | 0.0517191i | ||||
\(232\) | 16.2734 | − | 23.2974i | 1.06840 | − | 1.52955i | ||||
\(233\) | − | 19.4113i | − | 1.27167i | −0.771824 | − | 0.635837i | \(-0.780655\pi\) | ||
0.771824 | − | 0.635837i | \(-0.219345\pi\) | |||||||
\(234\) | 13.0540 | − | 1.81612i | 0.853365 | − | 0.118724i | ||||
\(235\) | − | 18.4127i | − | 1.20111i | ||||||
\(236\) | −14.4981 | − | 0.833354i | −0.943749 | − | 0.0542467i | ||||
\(237\) | −0.806272 | + | 4.47329i | −0.0523730 | + | 0.290571i | ||||
\(238\) | −0.321326 | + | 11.1896i | −0.0208284 | + | 0.725317i | ||||
\(239\) | 3.57434 | + | 6.19093i | 0.231205 | + | 0.400458i | 0.958163 | − | 0.286224i | \(-0.0924000\pi\) |
−0.726958 | + | 0.686682i | \(0.759067\pi\) | |||||||
\(240\) | 5.01162 | − | 16.6026i | 0.323499 | − | 1.07169i | ||||
\(241\) | −1.19735 | + | 2.07386i | −0.0771279 | + | 0.133589i | −0.902010 | − | 0.431716i | \(-0.857908\pi\) |
0.824882 | + | 0.565305i | \(0.191242\pi\) | |||||||
\(242\) | −12.6486 | − | 7.79513i | −0.813083 | − | 0.501090i | ||||
\(243\) | −15.4002 | + | 2.41522i | −0.987924 | + | 0.154937i | ||||
\(244\) | 4.31018 | + | 8.56602i | 0.275931 | + | 0.548383i | ||||
\(245\) | −2.16781 | − | 1.25159i | −0.138496 | − | 0.0799609i | ||||
\(246\) | 16.1108 | + | 3.38400i | 1.02719 | + | 0.215756i | ||||
\(247\) | −6.38710 | + | 3.68759i | −0.406401 | + | 0.234636i | ||||
\(248\) | −10.1676 | − | 21.7398i | −0.645646 | − | 1.38048i | ||||
\(249\) | −22.1743 | − | 3.99673i | −1.40524 | − | 0.253283i | ||||
\(250\) | 6.27813 | + | 11.6329i | 0.397064 | + | 0.735730i | ||||
\(251\) | 3.05973 | 0.193129 | 0.0965644 | − | 0.995327i | \(-0.469215\pi\) | ||||
0.0965644 | + | 0.995327i | \(0.469215\pi\) | |||||||
\(252\) | 2.41404 | − | 5.49294i | 0.152070 | − | 0.346023i | ||||
\(253\) | 0.487254 | 0.0306334 | ||||||||
\(254\) | −3.30049 | − | 6.11557i | −0.207091 | − | 0.383725i | ||||
\(255\) | −22.1593 | + | 26.2058i | −1.38767 | + | 1.64107i | ||||
\(256\) | −10.9444 | + | 11.6713i | −0.684025 | + | 0.729459i | ||||
\(257\) | 17.1928 | − | 9.92624i | 1.07245 | − | 0.619182i | 0.143603 | − | 0.989635i | \(-0.454131\pi\) |
0.928851 | + | 0.370453i | \(0.120798\pi\) | |||||||
\(258\) | −2.79155 | − | 8.52174i | −0.173794 | − | 0.530540i | ||||
\(259\) | −2.46909 | − | 1.42553i | −0.153422 | − | 0.0885783i | ||||
\(260\) | −13.8926 | + | 6.99035i | −0.861581 | + | 0.433523i | ||||
\(261\) | 29.7230 | − | 5.00873i | 1.83981 | − | 0.310032i | ||||
\(262\) | −6.30788 | − | 3.88745i | −0.389702 | − | 0.240167i | ||||
\(263\) | −9.51239 | + | 16.4759i | −0.586559 | + | 1.01595i | 0.408120 | + | 0.912928i | \(0.366184\pi\) |
−0.994679 | + | 0.103022i | \(0.967149\pi\) | |||||||
\(264\) | 0.900019 | − | 3.32362i | 0.0553923 | − | 0.204555i | ||||
\(265\) | −1.11338 | − | 1.92843i | −0.0683944 | − | 0.118463i | ||||
\(266\) | −0.0963760 | + | 3.35614i | −0.00590919 | + | 0.205778i | ||||
\(267\) | 2.80073 | − | 1.00737i | 0.171402 | − | 0.0616498i | ||||
\(268\) | 0.981765 | − | 17.0801i | 0.0599708 | − | 1.04333i | ||||
\(269\) | 27.0790i | 1.65103i | 0.564378 | + | 0.825517i | \(0.309116\pi\) | ||||
−0.564378 | + | 0.825517i | \(0.690884\pi\) | |||||||
\(270\) | 16.2859 | − | 8.55138i | 0.991128 | − | 0.520420i | ||||
\(271\) | − | 29.1249i | − | 1.76921i | −0.466337 | − | 0.884607i | \(-0.654427\pi\) | ||
0.466337 | − | 0.884607i | \(-0.345573\pi\) | |||||||
\(272\) | 29.0536 | − | 12.5850i | 1.76163 | − | 0.763075i | ||||
\(273\) | −5.06305 | + | 1.82107i | −0.306430 | + | 0.110216i | ||||
\(274\) | −14.7506 | − | 0.423583i | −0.891117 | − | 0.0255896i | ||||
\(275\) | −0.444866 | − | 0.770531i | −0.0268264 | − | 0.0464648i | ||||
\(276\) | −0.681762 | − | 2.30264i | −0.0410373 | − | 0.138603i | ||||
\(277\) | 8.22279 | − | 14.2423i | 0.494060 | − | 0.855737i | −0.505917 | − | 0.862582i | \(-0.668846\pi\) |
0.999977 | + | 0.00684565i | \(0.00217905\pi\) | |||||||
\(278\) | 8.81158 | − | 14.2979i | 0.528484 | − | 0.857532i | ||||
\(279\) | 8.88766 | − | 23.8539i | 0.532090 | − | 1.42810i | ||||
\(280\) | −0.609017 | + | 7.05379i | −0.0363957 | + | 0.421545i | ||||
\(281\) | 5.47490 | + | 3.16093i | 0.326605 | + | 0.188566i | 0.654333 | − | 0.756207i | \(-0.272950\pi\) |
−0.327728 | + | 0.944772i | \(0.606283\pi\) | |||||||
\(282\) | −17.1225 | + | 5.60899i | −1.01963 | + | 0.334011i | ||||
\(283\) | −7.14839 | + | 4.12712i | −0.424927 | + | 0.245332i | −0.697183 | − | 0.716893i | \(-0.745564\pi\) |
0.272256 | + | 0.962225i | \(0.412230\pi\) | |||||||
\(284\) | −6.96536 | + | 10.6079i | −0.413318 | + | 0.629462i | ||||
\(285\) | −6.64628 | + | 7.85997i | −0.393691 | + | 0.465584i | ||||
\(286\) | −2.71738 | + | 1.46653i | −0.160682 | + | 0.0867178i | ||||
\(287\) | −6.72075 | −0.396713 | ||||||||
\(288\) | −16.9659 | + | 0.397124i | −0.999726 | + | 0.0234007i | ||||
\(289\) | −45.6557 | −2.68563 | ||||||||
\(290\) | −31.3004 | + | 16.8924i | −1.83802 | + | 0.991956i | ||||
\(291\) | 23.2193 | + | 4.18508i | 1.36114 | + | 0.245333i | ||||
\(292\) | 9.00396 | − | 13.7126i | 0.526917 | − | 0.802467i | ||||
\(293\) | 6.70404 | − | 3.87058i | 0.391654 | − | 0.226122i | −0.291222 | − | 0.956655i | \(-0.594062\pi\) |
0.682877 | + | 0.730534i | \(0.260729\pi\) | |||||||
\(294\) | −0.503516 | + | 2.39718i | −0.0293656 | + | 0.139806i | ||||
\(295\) | 15.7405 | + | 9.08781i | 0.916450 | + | 0.529113i | ||||
\(296\) | −0.693659 | + | 8.03414i | −0.0403181 | + | 0.466975i | ||||
\(297\) | 3.18348 | − | 1.78998i | 0.184724 | − | 0.103865i | ||||
\(298\) | −13.1341 | + | 21.3117i | −0.760836 | + | 1.23455i | ||||
\(299\) | −1.07677 | + | 1.86502i | −0.0622711 | + | 0.107857i | ||||
\(300\) | −3.01888 | + | 3.18045i | −0.174295 | + | 0.183623i | ||||
\(301\) | 1.83045 | + | 3.17043i | 0.105505 | + | 0.182740i | ||||
\(302\) | −29.6749 | − | 0.852155i | −1.70760 | − | 0.0490360i | ||||
\(303\) | 0.793909 | − | 4.40470i | 0.0456089 | − | 0.253043i | ||||
\(304\) | 8.71411 | − | 3.77464i | 0.499788 | − | 0.216490i | ||||
\(305\) | − | 12.0018i | − | 0.687222i | ||||||
\(306\) | 31.1199 | + | 12.6236i | 1.77901 | + | 0.721643i | ||||
\(307\) | − | 14.7032i | − | 0.839154i | −0.907720 | − | 0.419577i | \(-0.862178\pi\) | ||
0.907720 | − | 0.419577i | \(-0.137822\pi\) | |||||||
\(308\) | −0.0806685 | + | 1.40342i | −0.00459651 | + | 0.0799671i | ||||
\(309\) | 17.8040 | + | 15.0548i | 1.01283 | + | 0.856436i | ||||
\(310\) | −0.862226 | + | 30.0256i | −0.0489712 | + | 1.70534i | ||||
\(311\) | 6.26710 | + | 10.8549i | 0.355375 | + | 0.615527i | 0.987182 | − | 0.159599i | \(-0.0510200\pi\) |
−0.631807 | + | 0.775125i | \(0.717687\pi\) | |||||||
\(312\) | 10.7326 | + | 10.7897i | 0.607614 | + | 0.610846i | ||||
\(313\) | −11.6110 | + | 20.1108i | −0.656292 | + | 1.13673i | 0.325276 | + | 0.945619i | \(0.394543\pi\) |
−0.981568 | + | 0.191112i | \(0.938790\pi\) | |||||||
\(314\) | 2.02742 | + | 1.24946i | 0.114414 | + | 0.0705113i | ||||
\(315\) | −5.78908 | + | 4.78323i | −0.326178 | + | 0.269505i | ||||
\(316\) | −4.68847 | + | 2.35911i | −0.263747 | + | 0.132710i | ||||
\(317\) | 5.93134 | + | 3.42446i | 0.333137 | + | 0.192337i | 0.657233 | − | 0.753687i | \(-0.271727\pi\) |
−0.324096 | + | 0.946024i | \(0.605060\pi\) | |||||||
\(318\) | −1.45414 | + | 1.62282i | −0.0815443 | + | 0.0910032i | ||||
\(319\) | −6.11582 | + | 3.53097i | −0.342420 | + | 0.197697i | ||||
\(320\) | 18.8020 | − | 6.89201i | 1.05106 | − | 0.385275i | ||||
\(321\) | 9.98741 | + | 27.7675i | 0.557443 | + | 1.54983i | ||||
\(322\) | 0.465620 | + | 0.862761i | 0.0259480 | + | 0.0480798i | ||||
\(323\) | −18.7925 | −1.04564 | ||||||||
\(324\) | −12.9133 | − | 12.5398i | −0.717406 | − | 0.696655i | ||||
\(325\) | 3.93239 | 0.218129 | ||||||||
\(326\) | −10.0278 | − | 18.5808i | −0.555389 | − | 1.02910i | ||||
\(327\) | 1.42720 | + | 3.96797i | 0.0789242 | + | 0.219429i | ||||
\(328\) | 8.05326 | + | 17.2190i | 0.444667 | + | 0.950758i | ||||
\(329\) | 6.37026 | − | 3.67787i | 0.351204 | − | 0.202768i | ||||
\(330\) | −2.87599 | + | 3.20959i | −0.158318 | + | 0.176682i | ||||
\(331\) | 6.98234 | + | 4.03126i | 0.383784 | + | 0.221578i | 0.679463 | − | 0.733709i | \(-0.262213\pi\) |
−0.295679 | + | 0.955287i | \(0.595546\pi\) | |||||||
\(332\) | −11.6942 | − | 23.2410i | −0.641803 | − | 1.27552i | ||||
\(333\) | −6.59366 | + | 5.44801i | −0.361330 | + | 0.298549i | ||||
\(334\) | 2.81882 | + | 1.73719i | 0.154239 | + | 0.0950550i | ||||
\(335\) | −10.7062 | + | 18.5438i | −0.584944 | + | 1.01315i | ||||
\(336\) | 6.74507 | − | 1.58243i | 0.367974 | − | 0.0863286i | ||||
\(337\) | −8.08375 | − | 14.0015i | −0.440350 | − | 0.762708i | 0.557365 | − | 0.830267i | \(-0.311812\pi\) |
−0.997715 | + | 0.0675590i | \(0.978479\pi\) | |||||||
\(338\) | −0.135981 | + | 4.73530i | −0.00739637 | + | 0.257567i | ||||
\(339\) | 6.31939 | + | 5.34358i | 0.343222 | + | 0.290223i | ||||
\(340\) | −39.5626 | − | 2.27406i | −2.14558 | − | 0.123328i | ||||
\(341\) | 5.96401i | 0.322969i | ||||||||
\(342\) | 9.33387 | + | 3.78622i | 0.504718 | + | 0.204736i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | 5.92945 | − | 8.48873i | 0.319695 | − | 0.457682i | ||||
\(345\) | −0.533146 | + | 2.95795i | −0.0287036 | + | 0.159251i | ||||
\(346\) | −1.42976 | − | 0.0410575i | −0.0768645 | − | 0.00220727i | ||||
\(347\) | 3.82900 | + | 6.63203i | 0.205552 | + | 0.356026i | 0.950308 | − | 0.311310i | \(-0.100768\pi\) |
−0.744757 | + | 0.667336i | \(0.767434\pi\) | |||||||
\(348\) | 25.2437 | + | 23.9614i | 1.35321 | + | 1.28446i | ||||
\(349\) | 4.40927 | − | 7.63708i | 0.236023 | − | 0.408803i | −0.723547 | − | 0.690275i | \(-0.757489\pi\) |
0.959569 | + | 0.281472i | \(0.0908227\pi\) | |||||||
\(350\) | 0.939234 | − | 1.52403i | 0.0502042 | − | 0.0814627i | ||||
\(351\) | −0.183718 | + | 16.1407i | −0.00980613 | + | 0.861528i | ||||
\(352\) | 3.69230 | − | 1.47499i | 0.196800 | − | 0.0786174i | ||||
\(353\) | −2.81435 | − | 1.62487i | −0.149793 | − | 0.0864830i | 0.423230 | − | 0.906022i | \(-0.360896\pi\) |
−0.573023 | + | 0.819539i | \(0.694229\pi\) | |||||||
\(354\) | 3.65605 | − | 17.4060i | 0.194317 | − | 0.925119i | ||||
\(355\) | 13.7551 | − | 7.94149i | 0.730043 | − | 0.421490i | ||||
\(356\) | 2.87287 | + | 1.88639i | 0.152262 | + | 0.0999783i | ||||
\(357\) | −13.4927 | − | 2.43194i | −0.714109 | − | 0.128712i | ||||
\(358\) | −14.7665 | + | 7.96929i | −0.780435 | + | 0.421190i | ||||
\(359\) | 28.4033 | 1.49907 | 0.749533 | − | 0.661967i | \(-0.230278\pi\) | ||||
0.749533 | + | 0.661967i | \(0.230278\pi\) | |||||||
\(360\) | 19.1918 | + | 9.10037i | 1.01150 | + | 0.479632i | ||||
\(361\) | 13.3635 | 0.703343 | ||||||||
\(362\) | 14.5880 | − | 7.87295i | 0.766729 | − | 0.413793i | ||||
\(363\) | 11.7495 | − | 13.8951i | 0.616691 | − | 0.729306i | ||||
\(364\) | −5.19346 | − | 3.41013i | −0.272211 | − | 0.178740i | ||||
\(365\) | −17.7809 | + | 10.2658i | −0.930692 | + | 0.537336i | ||||
\(366\) | −11.1609 | + | 3.65607i | −0.583387 | + | 0.191106i | ||||
\(367\) | −4.00164 | − | 2.31035i | −0.208884 | − | 0.120599i | 0.391909 | − | 0.920004i | \(-0.371815\pi\) |
−0.600793 | + | 0.799405i | \(0.705148\pi\) | |||||||
\(368\) | 1.65251 | − | 2.22677i | 0.0861429 | − | 0.116078i | ||||
\(369\) | −7.03945 | + | 18.8934i | −0.366459 | + | 0.983553i | ||||
\(370\) | 5.29523 | − | 8.59218i | 0.275286 | − | 0.446686i | ||||
\(371\) | 0.444788 | − | 0.770396i | 0.0230923 | − | 0.0399970i | ||||
\(372\) | 28.1844 | − | 8.34480i | 1.46130 | − | 0.432658i | ||||
\(373\) | −13.7859 | − | 23.8779i | −0.713808 | − | 1.23635i | −0.963417 | − | 0.268005i | \(-0.913636\pi\) |
0.249609 | − | 0.968347i | \(-0.419698\pi\) | |||||||
\(374\) | −7.86483 | − | 0.225849i | −0.406681 | − | 0.0116784i | ||||
\(375\) | −15.2343 | + | 5.47948i | −0.786697 | + | 0.282959i | ||||
\(376\) | −17.0562 | − | 11.9139i | −0.879607 | − | 0.614413i | ||||
\(377\) | − | 31.2120i | − | 1.60750i | ||||||
\(378\) | 6.21159 | + | 3.92635i | 0.319490 | + | 0.201949i | ||||
\(379\) | − | 20.5766i | − | 1.05695i | −0.848949 | − | 0.528475i | \(-0.822764\pi\) | ||
0.848949 | − | 0.528475i | \(-0.177236\pi\) | |||||||
\(380\) | −11.8661 | − | 0.682064i | −0.608718 | − | 0.0349892i | ||||
\(381\) | 8.00888 | − | 2.88063i | 0.410307 | − | 0.147579i | ||||
\(382\) | 0.274525 | − | 9.55988i | 0.0140459 | − | 0.489126i | ||||
\(383\) | 0.0457558 | + | 0.0792514i | 0.00233801 | + | 0.00404955i | 0.867192 | − | 0.497974i | \(-0.165922\pi\) |
−0.864854 | + | 0.502023i | \(0.832589\pi\) | |||||||
\(384\) | −12.1367 | − | 15.3851i | −0.619348 | − | 0.785117i | ||||
\(385\) | 0.879697 | − | 1.52368i | 0.0448335 | − | 0.0776539i | ||||
\(386\) | 3.33027 | + | 2.05239i | 0.169506 | + | 0.104464i | ||||
\(387\) | 10.8300 | − | 1.82500i | 0.550519 | − | 0.0927699i | ||||
\(388\) | 12.2453 | + | 24.3362i | 0.621661 | + | 1.23548i | ||||
\(389\) | −1.65481 | − | 0.955404i | −0.0839021 | − | 0.0484409i | 0.457462 | − | 0.889229i | \(-0.348759\pi\) |
−0.541364 | + | 0.840788i | \(0.682092\pi\) | |||||||
\(390\) | −5.92950 | − | 18.1009i | −0.300252 | − | 0.916577i | ||||
\(391\) | −4.75219 | + | 2.74368i | −0.240329 | + | 0.138754i | ||||
\(392\) | −2.56206 | + | 1.19827i | −0.129404 | + | 0.0605217i | ||||
\(393\) | 5.85951 | − | 6.92954i | 0.295573 | − | 0.349549i | ||||
\(394\) | −11.5952 | − | 21.4851i | −0.584160 | − | 1.08241i | ||||
\(395\) | 6.56900 | 0.330522 | ||||||||
\(396\) | 3.86081 | + | 1.69674i | 0.194013 | + | 0.0852646i | ||||
\(397\) | 30.4353 | 1.52750 | 0.763751 | − | 0.645511i | \(-0.223355\pi\) | ||||
0.763751 | + | 0.645511i | \(0.223355\pi\) | |||||||
\(398\) | 9.73382 | + | 18.0361i | 0.487912 | + | 0.904066i | ||||
\(399\) | −4.04690 | − | 0.729419i | −0.202598 | − | 0.0365166i | ||||
\(400\) | −5.03010 | − | 0.580178i | −0.251505 | − | 0.0290089i | ||||
\(401\) | 18.9221 | − | 10.9247i | 0.944922 | − | 0.545551i | 0.0534223 | − | 0.998572i | \(-0.482987\pi\) |
0.891500 | + | 0.453021i | \(0.149654\pi\) | |||||||
\(402\) | 20.5058 | + | 4.30715i | 1.02274 | + | 0.214821i | ||||
\(403\) | −22.8279 | − | 13.1797i | −1.13714 | − | 0.656527i | ||||
\(404\) | 4.61658 | − | 2.32294i | 0.229684 | − | 0.115570i | ||||
\(405\) | 7.38307 | + | 21.2844i | 0.366868 | + | 1.05763i | ||||
\(406\) | −12.0964 | − | 7.45484i | −0.600336 | − | 0.369978i | ||||
\(407\) | 1.00196 | − | 1.73544i | 0.0496653 | − | 0.0860228i | ||||
\(408\) | 9.93710 | + | 37.4832i | 0.491960 | + | 1.85570i | ||||
\(409\) | 2.23786 | + | 3.87609i | 0.110655 | + | 0.191660i | 0.916035 | − | 0.401099i | \(-0.131372\pi\) |
−0.805379 | + | 0.592760i | \(0.798038\pi\) | |||||||
\(410\) | 0.682925 | − | 23.7818i | 0.0337273 | − | 1.17450i | ||||
\(411\) | 3.20588 | − | 17.7866i | 0.158134 | − | 0.877347i | ||||
\(412\) | −1.54497 | + | 26.8784i | −0.0761154 | + | 1.32420i | ||||
\(413\) | 7.26104i | 0.357292i | ||||||||
\(414\) | 2.91311 | − | 0.405283i | 0.143171 | − | 0.0199186i | ||||
\(415\) | 32.5628i | 1.59845i | ||||||||
\(416\) | −2.51381 | + | 17.3922i | −0.123249 | + | 0.852723i | ||||
\(417\) | 15.7070 | + | 13.2816i | 0.769176 | + | 0.650404i | ||||
\(418\) | −2.35892 | − | 0.0677394i | −0.115378 | − | 0.00331324i | ||||
\(419\) | 11.4022 | + | 19.7492i | 0.557033 | + | 0.964809i | 0.997742 | + | 0.0671595i | \(0.0213936\pi\) |
−0.440709 | + | 0.897650i | \(0.645273\pi\) | |||||||
\(420\) | −8.43140 | − | 2.02531i | −0.411410 | − | 0.0988249i | ||||
\(421\) | −14.0510 | + | 24.3370i | −0.684803 | + | 1.18611i | 0.288696 | + | 0.957421i | \(0.406778\pi\) |
−0.973499 | + | 0.228693i | \(0.926555\pi\) | |||||||
\(422\) | −19.0024 | + | 30.8337i | −0.925020 | + | 1.50096i | ||||
\(423\) | −3.66693 | − | 21.7604i | −0.178292 | − | 1.05803i | ||||
\(424\) | −2.50678 | − | 0.216432i | −0.121740 | − | 0.0105109i | ||||
\(425\) | 8.67756 | + | 5.00999i | 0.420924 | + | 0.243020i | ||||
\(426\) | −11.5752 | − | 10.3721i | −0.560820 | − | 0.502528i | ||||
\(427\) | 4.15228 | − | 2.39732i | 0.200943 | − | 0.116015i | ||||
\(428\) | −18.7024 | + | 28.4827i | −0.904013 | + | 1.37677i | ||||
\(429\) | −1.27997 | − | 3.55865i | −0.0617976 | − | 0.171813i | ||||
\(430\) | −11.4047 | + | 6.15498i | −0.549985 | + | 0.296819i | ||||
\(431\) | 0.610755 | 0.0294190 | 0.0147095 | − | 0.999892i | \(-0.495318\pi\) | ||||
0.0147095 | + | 0.999892i | \(0.495318\pi\) | |||||||
\(432\) | 2.61638 | − | 20.6193i | 0.125881 | − | 0.992045i | ||||
\(433\) | 10.5169 | 0.505410 | 0.252705 | − | 0.967543i | \(-0.418680\pi\) | ||||
0.252705 | + | 0.967543i | \(0.418680\pi\) | |||||||
\(434\) | −10.5602 | + | 5.69922i | −0.506908 | + | 0.273571i | ||||
\(435\) | −14.7435 | − | 40.9906i | −0.706897 | − | 1.96535i | ||||
\(436\) | −2.67256 | + | 4.07017i | −0.127993 | + | 0.194926i | ||||
\(437\) | −1.42534 | + | 0.822918i | −0.0681830 | + | 0.0393655i | ||||
\(438\) | 14.9630 | + | 13.4077i | 0.714960 | + | 0.640647i | ||||
\(439\) | −32.6334 | − | 18.8409i | −1.55751 | − | 0.899227i | −0.997495 | − | 0.0707423i | \(-0.977463\pi\) |
−0.560012 | − | 0.828485i | \(-0.689203\pi\) | |||||||
\(440\) | −4.95787 | − | 0.428057i | −0.236357 | − | 0.0204068i | ||||
\(441\) | −2.81121 | − | 1.04742i | −0.133867 | − | 0.0498772i | ||||
\(442\) | 18.2447 | − | 29.6044i | 0.867812 | − | 1.40814i | ||||
\(443\) | −20.7455 | + | 35.9322i | −0.985647 | + | 1.70719i | −0.346622 | + | 0.938005i | \(0.612671\pi\) |
−0.639025 | + | 0.769186i | \(0.720662\pi\) | |||||||
\(444\) | −9.60321 | − | 2.30679i | −0.455748 | − | 0.109475i | ||||
\(445\) | −2.15075 | − | 3.72520i | −0.101955 | − | 0.176592i | ||||
\(446\) | −21.5689 | − | 0.619381i | −1.02132 | − | 0.0293285i | ||||
\(447\) | −23.4120 | − | 19.7969i | −1.10735 | − | 0.936359i | ||||
\(448\) | 6.14008 | + | 5.12830i | 0.290091 | + | 0.242289i | ||||
\(449\) | − | 31.9656i | − | 1.50855i | −0.656559 | − | 0.754275i | \(-0.727989\pi\) | ||
0.656559 | − | 0.754275i | \(-0.272011\pi\) | |||||||
\(450\) | −3.30059 | − | 4.23668i | −0.155591 | − | 0.199719i | ||||
\(451\) | − | 4.72379i | − | 0.222434i | ||||||
\(452\) | −0.548377 | + | 9.54030i | −0.0257935 | + | 0.448738i | ||||
\(453\) | 6.44951 | − | 35.7826i | 0.303025 | − | 1.68121i | ||||
\(454\) | 0.315238 | − | 10.9777i | 0.0147949 | − | 0.515208i | ||||
\(455\) | 3.88803 | + | 6.73427i | 0.182274 | + | 0.315707i | ||||
\(456\) | 2.98046 | + | 11.2424i | 0.139573 | + | 0.526475i | ||||
\(457\) | −14.8515 | + | 25.7236i | −0.694724 | + | 1.20330i | 0.275549 | + | 0.961287i | \(0.411140\pi\) |
−0.970274 | + | 0.242011i | \(0.922193\pi\) | |||||||
\(458\) | 13.7261 | + | 8.45918i | 0.641378 | + | 0.395271i | ||||
\(459\) | −20.9692 | + | 35.3835i | −0.978761 | + | 1.65156i | ||||
\(460\) | −3.10025 | + | 1.55996i | −0.144550 | + | 0.0727333i | ||||
\(461\) | −8.96753 | − | 5.17741i | −0.417659 | − | 0.241136i | 0.276416 | − | 0.961038i | \(-0.410853\pi\) |
−0.694075 | + | 0.719902i | \(0.744187\pi\) | |||||||
\(462\) | −1.68490 | − | 0.353904i | −0.0783885 | − | 0.0164651i | ||||
\(463\) | −13.7219 | + | 7.92236i | −0.637712 | + | 0.368183i | −0.783733 | − | 0.621098i | \(-0.786687\pi\) |
0.146021 | + | 0.989282i | \(0.453353\pi\) | |||||||
\(464\) | −4.60497 | + | 39.9247i | −0.213780 | + | 1.85346i | ||||
\(465\) | −36.2055 | − | 6.52573i | −1.67899 | − | 0.302624i | ||||
\(466\) | 13.0378 | + | 24.1580i | 0.603963 | + | 1.11910i | ||||
\(467\) | 27.9844 | 1.29496 | 0.647481 | − | 0.762081i | \(-0.275822\pi\) | ||||
0.647481 | + | 0.762081i | \(0.275822\pi\) | |||||||
\(468\) | −15.0263 | + | 11.0281i | −0.694593 | + | 0.509772i | ||||
\(469\) | −8.55414 | −0.394994 | ||||||||
\(470\) | 12.3671 | + | 22.9153i | 0.570450 | + | 1.05700i | ||||
\(471\) | −1.88331 | + | 2.22722i | −0.0867782 | + | 0.102625i | ||||
\(472\) | 18.6032 | − | 8.70068i | 0.856282 | − | 0.400481i | ||||
\(473\) | −2.22839 | + | 1.28656i | −0.102461 | + | 0.0591560i | ||||
\(474\) | −2.00109 | − | 6.10871i | −0.0919132 | − | 0.280583i | ||||
\(475\) | 2.60268 | + | 1.50266i | 0.119419 | + | 0.0689467i | ||||
\(476\) | −7.11573 | − | 14.1418i | −0.326149 | − | 0.648186i | ||||
\(477\) | −1.69986 | − | 2.05732i | −0.0778314 | − | 0.0941983i | ||||
\(478\) | −8.60659 | − | 5.30411i | −0.393656 | − | 0.242604i | ||||
\(479\) | −11.5844 | + | 20.0648i | −0.529306 | + | 0.916785i | 0.470110 | + | 0.882608i | \(0.344214\pi\) |
−0.999416 | + | 0.0341768i | \(0.989119\pi\) | |||||||
\(480\) | 4.91413 | + | 24.0286i | 0.224298 | + | 1.09675i | ||||
\(481\) | 4.42840 | + | 7.67021i | 0.201918 | + | 0.349731i | ||||
\(482\) | 0.0972109 | − | 3.38521i | 0.00442783 | − | 0.154192i | ||||
\(483\) | −1.12986 | + | 0.406388i | −0.0514105 | + | 0.0184913i | ||||
\(484\) | 20.9773 | + | 1.20578i | 0.953515 | + | 0.0548081i | ||||
\(485\) | − | 34.0973i | − | 1.54828i | ||||||
\(486\) | 17.5439 | − | 13.3495i | 0.795809 | − | 0.605547i | ||||
\(487\) | − | 13.8456i | − | 0.627406i | −0.949521 | − | 0.313703i | \(-0.898430\pi\) | ||
0.949521 | − | 0.313703i | \(-0.101570\pi\) | |||||||
\(488\) | −11.1176 | − | 7.76576i | −0.503272 | − | 0.351539i | ||||
\(489\) | 24.3332 | − | 8.75216i | 1.10039 | − | 0.395787i | ||||
\(490\) | 3.53856 | + | 0.101614i | 0.159856 | + | 0.00459047i | ||||
\(491\) | −1.97999 | − | 3.42944i | −0.0893557 | − | 0.154769i | 0.817883 | − | 0.575384i | \(-0.195147\pi\) |
−0.907239 | + | 0.420616i | \(0.861814\pi\) | |||||||
\(492\) | −22.3234 | + | 6.60948i | −1.00642 | + | 0.297979i | ||||
\(493\) | 39.7651 | − | 68.8752i | 1.79093 | − | 3.10198i | ||||
\(494\) | 5.47218 | − | 8.87931i | 0.246205 | − | 0.399499i | ||||
\(495\) | −3.36197 | − | 4.06895i | −0.151109 | − | 0.182886i | ||||
\(496\) | 27.2557 | + | 20.2268i | 1.22382 | + | 0.908209i | ||||
\(497\) | 5.49505 | + | 3.17257i | 0.246487 | + | 0.142309i | ||||
\(498\) | 30.2812 | − | 9.91951i | 1.35693 | − | 0.444504i | ||||
\(499\) | 18.6834 | − | 10.7868i | 0.836382 | − | 0.482886i | −0.0196506 | − | 0.999807i | \(-0.506255\pi\) |
0.856033 | + | 0.516921i | \(0.172922\pi\) | |||||||
\(500\) | −15.6267 | − | 10.2608i | −0.698848 | − | 0.458879i | ||||
\(501\) | −2.61846 | + | 3.09662i | −0.116984 | + | 0.138347i | ||||
\(502\) | −3.80795 | + | 2.05510i | −0.169957 | + | 0.0917236i | ||||
\(503\) | −24.7621 | −1.10409 | −0.552044 | − | 0.833815i | \(-0.686152\pi\) | ||||
−0.552044 | + | 0.833815i | \(0.686152\pi\) | |||||||
\(504\) | 0.685032 | + | 8.45758i | 0.0305138 | + | 0.376731i | ||||
\(505\) | −6.46827 | −0.287834 | ||||||||
\(506\) | −0.606406 | + | 0.327269i | −0.0269580 | + | 0.0145489i | ||||
\(507\) | −5.70992 | − | 1.02916i | −0.253587 | − | 0.0457068i | ||||
\(508\) | 8.21516 | + | 5.39425i | 0.364489 | + | 0.239331i | ||||
\(509\) | −22.5133 | + | 12.9980i | −0.997882 | + | 0.576128i | −0.907621 | − | 0.419790i | \(-0.862104\pi\) |
−0.0902614 | + | 0.995918i | \(0.528770\pi\) | |||||||
\(510\) | 9.97663 | − | 47.4976i | 0.441773 | − | 2.10323i | ||||
\(511\) | −7.10333 | − | 4.10111i | −0.314233 | − | 0.181422i | ||||
\(512\) | 5.78155 | − | 21.8763i | 0.255511 | − | 0.966806i | ||||
\(513\) | −6.28936 | + | 10.6127i | −0.277682 | + | 0.468561i | ||||
\(514\) | −14.7300 | + | 23.9013i | −0.649711 | + | 1.05424i | ||||
\(515\) | 16.8481 | − | 29.1817i | 0.742415 | − | 1.28590i | ||||
\(516\) | 9.19790 | + | 8.73065i | 0.404915 | + | 0.384345i | ||||
\(517\) | 2.58505 | + | 4.47744i | 0.113690 | + | 0.196918i | ||||
\(518\) | 4.03035 | + | 0.115737i | 0.177084 | + | 0.00508519i | ||||
\(519\) | 0.310743 | − | 1.72404i | 0.0136401 | − | 0.0756767i | ||||
\(520\) | 12.5947 | − | 18.0308i | 0.552314 | − | 0.790705i | ||||
\(521\) | 16.4772i | 0.721880i | 0.932589 | + | 0.360940i | \(0.117544\pi\) | ||||
−0.932589 | + | 0.360940i | \(0.882456\pi\) | |||||||
\(522\) | −33.6272 | + | 26.1973i | −1.47182 | + | 1.14662i | ||||
\(523\) | 35.6352i | 1.55822i | 0.626888 | + | 0.779110i | \(0.284329\pi\) | ||||
−0.626888 | + | 0.779110i | \(0.715671\pi\) | |||||||
\(524\) | 10.4614 | + | 0.601324i | 0.457010 | + | 0.0262690i | ||||
\(525\) | 1.67422 | + | 1.41570i | 0.0730691 | + | 0.0617862i | ||||
\(526\) | 0.772297 | − | 26.8940i | 0.0336738 | − | 1.17263i | ||||
\(527\) | −33.5827 | − | 58.1670i | −1.46289 | − | 2.53380i | ||||
\(528\) | 1.11224 | + | 4.74088i | 0.0484039 | + | 0.206320i | ||||
\(529\) | 11.2597 | − | 19.5024i | 0.489553 | − | 0.847930i | ||||
\(530\) | 2.68089 | + | 1.65219i | 0.116451 | + | 0.0717667i | ||||
\(531\) | 20.4123 | + | 7.60537i | 0.885819 | + | 0.330045i | ||||
\(532\) | −2.13424 | − | 4.24157i | −0.0925310 | − | 0.183895i | ||||
\(533\) | 18.0808 | + | 10.4390i | 0.783166 | + | 0.452161i | ||||
\(534\) | −2.80901 | + | 3.13484i | −0.121558 | + | 0.135658i | ||||
\(535\) | 36.9331 | − | 21.3233i | 1.59676 | − | 0.921888i | ||||
\(536\) | 10.2502 | + | 21.9162i | 0.442740 | + | 0.946637i | ||||
\(537\) | −6.95551 | − | 19.3381i | −0.300152 | − | 0.834499i | ||||
\(538\) | −18.1878 | − | 33.7008i | −0.784134 | − | 1.45294i | ||||
\(539\) | 0.702866 | 0.0302746 | ||||||||
\(540\) | −14.5248 | + | 21.5811i | −0.625048 | + | 0.928702i | ||||
\(541\) | 16.0235 | 0.688903 | 0.344452 | − | 0.938804i | \(-0.388065\pi\) | ||||
0.344452 | + | 0.938804i | \(0.388065\pi\) | |||||||
\(542\) | 19.5621 | + | 36.2471i | 0.840262 | + | 1.55695i | ||||
\(543\) | 6.87142 | + | 19.1043i | 0.294881 | + | 0.819843i | ||||
\(544\) | −27.7055 | + | 35.1766i | −1.18786 | + | 1.50818i | ||||
\(545\) | 5.27773 | − | 3.04710i | 0.226073 | − | 0.130523i | ||||
\(546\) | 5.07801 | − | 5.66704i | 0.217319 | − | 0.242527i | ||||
\(547\) | 9.75181 | + | 5.63021i | 0.416957 | + | 0.240730i | 0.693775 | − | 0.720192i | \(-0.255946\pi\) |
−0.276817 | + | 0.960923i | \(0.589280\pi\) | |||||||
\(548\) | 18.6422 | − | 9.38023i | 0.796355 | − | 0.400703i | ||||
\(549\) | −2.39019 | − | 14.1840i | −0.102011 | − | 0.605356i | ||||
\(550\) | 1.07119 | + | 0.660156i | 0.0456756 | + | 0.0281491i | ||||
\(551\) | 11.9268 | − | 20.6579i | 0.508100 | − | 0.880056i | ||||
\(552\) | 2.39507 | + | 2.40781i | 0.101941 | + | 0.102483i | ||||
\(553\) | 1.31214 | + | 2.27268i | 0.0557977 | + | 0.0966444i | ||||
\(554\) | −0.667597 | + | 23.2480i | −0.0283635 | + | 0.987712i | ||||
\(555\) | 9.43896 | + | 7.98145i | 0.400662 | + | 0.338794i | ||||
\(556\) | −1.36301 | + | 23.7127i | −0.0578044 | + | 1.00564i | ||||
\(557\) | 25.2666i | 1.07058i | 0.844669 | + | 0.535289i | \(0.179797\pi\) | ||||
−0.844669 | + | 0.535289i | \(0.820203\pi\) | |||||||
\(558\) | 4.96068 | + | 35.6565i | 0.210002 | + | 1.50946i | ||||
\(559\) | − | 11.3725i | − | 0.481006i | ||||||
\(560\) | −3.97980 | − | 9.18776i | −0.168177 | − | 0.388254i | ||||
\(561\) | 1.70933 | − | 9.48356i | 0.0721680 | − | 0.400396i | ||||
\(562\) | −8.93679 | − | 0.256632i | −0.376976 | − | 0.0108254i | ||||
\(563\) | −6.29010 | − | 10.8948i | −0.265096 | − | 0.459160i | 0.702493 | − | 0.711691i | \(-0.252070\pi\) |
−0.967589 | + | 0.252531i | \(0.918737\pi\) | |||||||
\(564\) | 17.5423 | − | 18.4811i | 0.738663 | − | 0.778195i | ||||
\(565\) | 5.98010 | − | 10.3578i | 0.251585 | − | 0.435758i | ||||
\(566\) | 6.12441 | − | 9.93764i | 0.257428 | − | 0.417710i | ||||
\(567\) | −5.88905 | + | 6.80582i | −0.247317 | + | 0.285817i | ||||
\(568\) | 1.54376 | − | 17.8803i | 0.0647748 | − | 0.750239i | ||||
\(569\) | −9.64118 | − | 5.56634i | −0.404179 | − | 0.233353i | 0.284107 | − | 0.958793i | \(-0.408303\pi\) |
−0.688286 | + | 0.725440i | \(0.741636\pi\) | |||||||
\(570\) | 2.99231 | − | 14.2461i | 0.125334 | − | 0.596702i | ||||
\(571\) | −38.6886 | + | 22.3369i | −1.61907 | + | 0.934769i | −0.631906 | + | 0.775045i | \(0.717727\pi\) |
−0.987162 | + | 0.159724i | \(0.948939\pi\) | |||||||
\(572\) | 2.39687 | − | 3.65031i | 0.100218 | − | 0.152627i | ||||
\(573\) | 11.5275 | + | 2.07773i | 0.481568 | + | 0.0867985i | ||||
\(574\) | 8.36422 | − | 4.51405i | 0.349116 | − | 0.188413i | ||||
\(575\) | 0.877545 | 0.0365962 | ||||||||
\(576\) | 20.8480 | − | 11.8896i | 0.868666 | − | 0.495398i | ||||
\(577\) | 0.773772 | 0.0322125 | 0.0161063 | − | 0.999870i | \(-0.494873\pi\) | ||||
0.0161063 | + | 0.999870i | \(0.494873\pi\) | |||||||
\(578\) | 56.8203 | − | 30.6651i | 2.36341 | − | 1.27550i | ||||
\(579\) | −3.09355 | + | 3.65847i | −0.128564 | + | 0.152041i | ||||
\(580\) | 27.6086 | − | 42.0464i | 1.14638 | − | 1.74588i | ||||
\(581\) | −11.2658 | + | 6.50432i | −0.467385 | + | 0.269845i | ||||
\(582\) | −31.7082 | + | 10.3870i | −1.31435 | + | 0.430553i | ||||
\(583\) | 0.541485 | + | 0.312627i | 0.0224260 | + | 0.0129477i | ||||
\(584\) | −1.99559 | + | 23.1134i | −0.0825779 | + | 0.956439i | ||||
\(585\) | 23.0039 | − | 3.87646i | 0.951093 | − | 0.160272i | ||||
\(586\) | −5.74372 | + | 9.31992i | −0.237271 | + | 0.385002i | ||||
\(587\) | 3.95356 | − | 6.84776i | 0.163181 | − | 0.282637i | −0.772827 | − | 0.634617i | \(-0.781158\pi\) |
0.936008 | + | 0.351979i | \(0.114491\pi\) | |||||||
\(588\) | −0.983445 | − | 3.32157i | −0.0405566 | − | 0.136979i | ||||
\(589\) | −10.0726 | − | 17.4462i | −0.415032 | − | 0.718857i | ||||
\(590\) | −25.6936 | − | 0.737826i | −1.05779 | − | 0.0303758i | ||||
\(591\) | 28.1367 | − | 10.1202i | 1.15739 | − | 0.416289i | ||||
\(592\) | −4.53292 | − | 10.4647i | −0.186302 | − | 0.430096i | ||||
\(593\) | 13.0459i | 0.535732i | 0.963456 | + | 0.267866i | \(0.0863184\pi\) | ||||
−0.963456 | + | 0.267866i | \(0.913682\pi\) | |||||||
\(594\) | −2.75970 | + | 4.36592i | −0.113232 | + | 0.179136i | ||||
\(595\) | 19.8139i | 0.812292i | ||||||||
\(596\) | 2.03162 | − | 35.3448i | 0.0832185 | − | 1.44778i | ||||
\(597\) | −23.6198 | + | 8.49557i | −0.966695 | + | 0.347700i | ||||
\(598\) | 0.0874213 | − | 3.04430i | 0.00357492 | − | 0.124491i | ||||
\(599\) | 5.35898 | + | 9.28202i | 0.218962 | + | 0.379253i | 0.954491 | − | 0.298240i | \(-0.0963996\pi\) |
−0.735529 | + | 0.677493i | \(0.763066\pi\) | |||||||
\(600\) | 1.62093 | − | 5.98585i | 0.0661744 | − | 0.244371i | ||||
\(601\) | −2.22698 | + | 3.85725i | −0.0908406 | + | 0.157341i | −0.907865 | − | 0.419262i | \(-0.862289\pi\) |
0.817024 | + | 0.576603i | \(0.195622\pi\) | |||||||
\(602\) | −4.40750 | − | 2.71628i | −0.179636 | − | 0.110707i | ||||
\(603\) | −8.95979 | + | 24.0475i | −0.364871 | + | 0.979290i | ||||
\(604\) | 37.5039 | − | 18.8709i | 1.52601 | − | 0.767847i | ||||
\(605\) | −22.7750 | − | 13.1491i | −0.925934 | − | 0.534588i | ||||
\(606\) | 1.97041 | + | 6.01505i | 0.0800424 | + | 0.244345i | ||||
\(607\) | 29.7000 | − | 17.1473i | 1.20549 | − | 0.695988i | 0.243717 | − | 0.969846i | \(-0.421633\pi\) |
0.961770 | + | 0.273858i | \(0.0882999\pi\) | |||||||
\(608\) | −8.30976 | + | 10.5506i | −0.337005 | + | 0.427883i | ||||
\(609\) | 11.2366 | − | 13.2886i | 0.455331 | − | 0.538480i | ||||
\(610\) | 8.06113 | + | 14.9367i | 0.326386 | + | 0.604769i | ||||
\(611\) | −22.8505 | −0.924433 | ||||||||
\(612\) | −47.2086 | + | 5.19145i | −1.90830 | + | 0.209852i | ||||
\(613\) | −27.5606 | −1.11316 | −0.556581 | − | 0.830794i | \(-0.687887\pi\) | ||||
−0.556581 | + | 0.830794i | \(0.687887\pi\) | |||||||
\(614\) | 9.87553 | + | 18.2986i | 0.398544 | + | 0.738473i | ||||
\(615\) | 28.6765 | + | 5.16870i | 1.15635 | + | 0.208422i | ||||
\(616\) | −0.842223 | − | 1.80079i | −0.0339341 | − | 0.0725557i | ||||
\(617\) | 21.8157 | − | 12.5953i | 0.878268 | − | 0.507068i | 0.00818075 | − | 0.999967i | \(-0.497396\pi\) |
0.870087 | + | 0.492899i | \(0.164063\pi\) | |||||||
\(618\) | −32.2694 | − | 6.77802i | −1.29806 | − | 0.272652i | ||||
\(619\) | 2.44808 | + | 1.41340i | 0.0983968 | + | 0.0568094i | 0.548391 | − | 0.836222i | \(-0.315241\pi\) |
−0.449994 | + | 0.893032i | \(0.648574\pi\) | |||||||
\(620\) | −19.0939 | − | 37.9472i | −0.766831 | − | 1.52399i | ||||
\(621\) | −0.0409982 | + | 3.60194i | −0.00164520 | + | 0.144541i | ||||
\(622\) | −15.0905 | − | 9.30001i | −0.605072 | − | 0.372897i | ||||
\(623\) | 0.859209 | − | 1.48819i | 0.0344235 | − | 0.0596232i | ||||
\(624\) | −20.6041 | − | 6.21952i | −0.824825 | − | 0.248980i | ||||
\(625\) | 14.8635 | + | 25.7443i | 0.594538 | + | 1.02977i | ||||
\(626\) | 0.942680 | − | 32.8273i | 0.0376771 | − | 1.31204i | ||||
\(627\) | 0.512684 | − | 2.84443i | 0.0204746 | − | 0.113595i | ||||
\(628\) | −3.36241 | − | 0.193271i | −0.134175 | − | 0.00771237i | ||||
\(629\) | 22.5677i | 0.899834i | ||||||||
\(630\) | 3.99202 | − | 9.84120i | 0.159046 | − | 0.392083i | ||||
\(631\) | 35.3279i | 1.40638i | 0.711002 | + | 0.703190i | \(0.248242\pi\) | ||||
−0.711002 | + | 0.703190i | \(0.751758\pi\) | |||||||
\(632\) | 4.25046 | − | 6.08506i | 0.169074 | − | 0.242051i | ||||
\(633\) | −33.8725 | − | 28.6421i | −1.34631 | − | 1.13842i | ||||
\(634\) | −9.68185 | − | 0.278027i | −0.384515 | − | 0.0110419i | ||||
\(635\) | −6.15020 | − | 10.6525i | −0.244063 | − | 0.422730i | ||||
\(636\) | 0.719754 | − | 2.99635i | 0.0285401 | − | 0.118813i | ||||
\(637\) | −1.55324 | + | 2.69030i | −0.0615417 | + | 0.106593i | ||||
\(638\) | 5.23976 | − | 8.50218i | 0.207444 | − | 0.336605i | ||||
\(639\) | 14.6744 | − | 12.1247i | 0.580510 | − | 0.479647i | ||||
\(640\) | −18.7707 | + | 21.2059i | −0.741978 | + | 0.838237i | ||||
\(641\) | 17.8094 | + | 10.2823i | 0.703431 | + | 0.406126i | 0.808624 | − | 0.588326i | \(-0.200213\pi\) |
−0.105193 | + | 0.994452i | \(0.533546\pi\) | |||||||
\(642\) | −31.0800 | − | 27.8496i | −1.22663 | − | 1.09914i | ||||
\(643\) | −16.6218 | + | 9.59659i | −0.655499 | + | 0.378453i | −0.790560 | − | 0.612385i | \(-0.790210\pi\) |
0.135061 | + | 0.990837i | \(0.456877\pi\) | |||||||
\(644\) | −1.15896 | − | 0.761000i | −0.0456696 | − | 0.0299876i | ||||
\(645\) | −5.37200 | − | 14.9355i | −0.211522 | − | 0.588085i | ||||
\(646\) | 23.3879 | − | 12.6222i | 0.920186 | − | 0.496612i | ||||
\(647\) | 30.9160 | 1.21544 | 0.607718 | − | 0.794153i | \(-0.292085\pi\) | ||||
0.607718 | + | 0.794153i | \(0.292085\pi\) | |||||||
\(648\) | 24.4936 | + | 6.93288i | 0.962198 | + | 0.272349i | ||||
\(649\) | −5.10354 | −0.200331 | ||||||||
\(650\) | −4.89400 | + | 2.64122i | −0.191958 | + | 0.103597i | ||||
\(651\) | −4.97421 | − | 13.8296i | −0.194955 | − | 0.542023i | ||||
\(652\) | 24.9600 | + | 16.3893i | 0.977508 | + | 0.641853i | ||||
\(653\) | −14.2740 | + | 8.24109i | −0.558584 | + | 0.322499i | −0.752577 | − | 0.658504i | \(-0.771190\pi\) |
0.193993 | + | 0.981003i | \(0.437856\pi\) | |||||||
\(654\) | −4.44133 | − | 3.97970i | −0.173670 | − | 0.155618i | ||||
\(655\) | −11.3579 | − | 6.55749i | −0.443790 | − | 0.256222i | ||||
\(656\) | −21.5879 | − | 16.0206i | −0.842864 | − | 0.625498i | ||||
\(657\) | −18.9693 | + | 15.6734i | −0.740062 | + | 0.611477i | ||||
\(658\) | −5.45775 | + | 8.85589i | −0.212765 | + | 0.345239i | ||||
\(659\) | −13.7838 | + | 23.8743i | −0.536942 | + | 0.930010i | 0.462125 | + | 0.886815i | \(0.347087\pi\) |
−0.999067 | + | 0.0431955i | \(0.986246\pi\) | |||||||
\(660\) | 1.42352 | − | 5.92615i | 0.0554105 | − | 0.230675i | ||||
\(661\) | 5.86138 | + | 10.1522i | 0.227981 | + | 0.394875i | 0.957210 | − | 0.289395i | \(-0.0934542\pi\) |
−0.729229 | + | 0.684270i | \(0.760121\pi\) | |||||||
\(662\) | −11.3974 | − | 0.327292i | −0.442973 | − | 0.0127206i | ||||
\(663\) | 32.5219 | + | 27.5001i | 1.26305 | + | 1.06801i | ||||
\(664\) | 30.1639 | + | 21.0698i | 1.17059 | + | 0.817665i | ||||
\(665\) | 5.94284i | 0.230454i | ||||||||
\(666\) | 4.54684 | − | 11.2089i | 0.176186 | − | 0.434338i | ||||
\(667\) | − | 6.96521i | − | 0.269694i | ||||||
\(668\) | −4.67493 | − | 0.268715i | −0.180878 | − | 0.0103969i | ||||
\(669\) | 4.68777 | − | 26.0082i | 0.181239 | − | 1.00554i | ||||
\(670\) | 0.869225 | − | 30.2693i | 0.0335811 | − | 1.16941i | ||||
\(671\) | 1.68500 | + | 2.91850i | 0.0650486 | + | 0.112667i | ||||
\(672\) | −7.33163 | + | 6.49978i | −0.282824 | + | 0.250735i | ||||
\(673\) | −3.04565 | + | 5.27522i | −0.117401 | + | 0.203345i | −0.918737 | − | 0.394870i | \(-0.870790\pi\) |
0.801336 | + | 0.598215i | \(0.204123\pi\) | |||||||
\(674\) | 19.4647 | + | 11.9958i | 0.749754 | + | 0.462062i | ||||
\(675\) | 5.73345 | − | 3.22376i | 0.220680 | − | 0.124083i | ||||
\(676\) | −3.01128 | − | 5.98460i | −0.115818 | − | 0.230177i | ||||
\(677\) | 25.8756 | + | 14.9393i | 0.994481 | + | 0.574164i | 0.906611 | − | 0.421968i | \(-0.138661\pi\) |
0.0878702 | + | 0.996132i | \(0.471994\pi\) | |||||||
\(678\) | −11.4538 | − | 2.40581i | −0.439880 | − | 0.0923945i | ||||
\(679\) | 11.7967 | − | 6.81083i | 0.452716 | − | 0.261376i | ||||
\(680\) | 50.7645 | − | 23.7424i | 1.94673 | − | 0.910481i | ||||
\(681\) | 13.2371 | + | 2.38587i | 0.507246 | + | 0.0914268i | ||||
\(682\) | −4.00579 | − | 7.42244i | −0.153390 | − | 0.284220i | ||||
\(683\) | −5.57818 | −0.213443 | −0.106722 | − | 0.994289i | \(-0.534035\pi\) | ||||
−0.106722 | + | 0.994289i | \(0.534035\pi\) | |||||||
\(684\) | −14.1594 | + | 1.55708i | −0.541398 | + | 0.0595366i | ||||
\(685\) | −26.1195 | −0.997974 | ||||||||
\(686\) | 0.671660 | + | 1.24454i | 0.0256441 | + | 0.0475167i | ||||
\(687\) | −12.7504 | + | 15.0788i | −0.486460 | + | 0.575294i | ||||
\(688\) | −1.67788 | + | 14.5471i | −0.0639687 | + | 0.554604i | ||||
\(689\) | −2.39322 | + | 1.38173i | −0.0911745 | + | 0.0526396i | ||||
\(690\) | −1.32322 | − | 4.03938i | −0.0503741 | − | 0.153776i | ||||
\(691\) | −6.59535 | − | 3.80783i | −0.250899 | − | 0.144857i | 0.369277 | − | 0.929319i | \(-0.379605\pi\) |
−0.620176 | + | 0.784463i | \(0.712939\pi\) | |||||||
\(692\) | 1.80697 | − | 0.909216i | 0.0686907 | − | 0.0345632i | ||||
\(693\) | 0.736197 | − | 1.97591i | 0.0279658 | − | 0.0750585i | ||||
\(694\) | −9.21981 | − | 5.68202i | −0.349979 | − | 0.215687i | ||||
\(695\) | 14.8637 | − | 25.7447i | 0.563813 | − | 0.976553i | ||||
\(696\) | −47.5106 | − | 12.8656i | −1.80089 | − | 0.487670i | ||||
\(697\) | 26.5992 | + | 46.0711i | 1.00751 | + | 1.74507i | ||||
\(698\) | −0.357982 | + | 12.4662i | −0.0135498 | + | 0.471851i | ||||
\(699\) | −31.6371 | + | 11.3792i | −1.19662 | + | 0.430401i | ||||
\(700\) | −0.145284 | + | 2.52755i | −0.00549122 | + | 0.0955326i | ||||
\(701\) | − | 13.6591i | − | 0.515896i | −0.966159 | − | 0.257948i | \(-0.916954\pi\) | ||
0.966159 | − | 0.257948i | \(-0.0830463\pi\) | |||||||
\(702\) | −10.6124 | − | 20.2111i | −0.400540 | − | 0.762820i | ||||
\(703\) | 6.76879i | 0.255290i | ||||||||
\(704\) | −3.60451 | + | 4.31565i | −0.135850 | + | 0.162652i | ||||
\(705\) | −30.0096 | + | 10.7938i | −1.13023 | + | 0.406519i | ||||
\(706\) | 4.59393 | + | 0.131921i | 0.172895 | + | 0.00496490i | ||||
\(707\) | −1.29202 | − | 2.23784i | −0.0485913 | − | 0.0841625i | ||||
\(708\) | 7.14083 | + | 24.1181i | 0.268369 | + | 0.906412i | ||||
\(709\) | −11.1244 | + | 19.2680i | −0.417784 | + | 0.723624i | −0.995716 | − | 0.0924613i | \(-0.970527\pi\) |
0.577932 | + | 0.816085i | \(0.303860\pi\) | |||||||
\(710\) | −11.7847 | + | 19.1222i | −0.442272 | + | 0.717643i | ||||
\(711\) | 7.76336 | − | 1.30823i | 0.291149 | − | 0.0490625i | ||||
\(712\) | −4.84241 | − | 0.418088i | −0.181477 | − | 0.0156685i | ||||
\(713\) | −5.09424 | − | 2.94116i | −0.190781 | − | 0.110147i | ||||
\(714\) | 18.4256 | − | 6.03586i | 0.689561 | − | 0.225886i | ||||
\(715\) | −4.73329 | + | 2.73277i | −0.177015 | + | 0.102200i | ||||
\(716\) | 13.0248 | − | 19.8362i | 0.486761 | − | 0.741312i | ||||
\(717\) | 7.99484 | − | 9.45479i | 0.298573 | − | 0.353096i | ||||
\(718\) | −35.3489 | + | 19.0773i | −1.31921 | + | 0.711959i | ||||
\(719\) | 17.7827 | 0.663184 | 0.331592 | − | 0.943423i | \(-0.392414\pi\) | ||||
0.331592 | + | 0.943423i | \(0.392414\pi\) | |||||||
\(720\) | −29.9973 | + | 1.56461i | −1.11793 | + | 0.0583097i | ||||
\(721\) | 13.4614 | 0.501328 | ||||||||
\(722\) | −16.6314 | + | 8.97574i | −0.618957 | + | 0.334043i | ||||
\(723\) | 4.08195 | + | 0.735737i | 0.151810 | + | 0.0273624i | ||||
\(724\) | −12.8674 | + | 19.5964i | −0.478212 | + | 0.728293i | ||||
\(725\) | −11.0146 | + | 6.35929i | −0.409072 | + | 0.236178i | ||||
\(726\) | −5.28992 | + | 25.1847i | −0.196328 | + | 0.934693i | ||||
\(727\) | 45.2123 | + | 26.1034i | 1.67683 | + | 0.968120i | 0.963660 | + | 0.267131i | \(0.0860758\pi\) |
0.713173 | + | 0.700988i | \(0.247258\pi\) | |||||||
\(728\) | 8.75390 | + | 0.755802i | 0.324441 | + | 0.0280119i | ||||
\(729\) | 12.9643 | + | 23.6839i | 0.480158 | + | 0.877182i | ||||
\(730\) | 15.2338 | − | 24.7188i | 0.563829 | − | 0.914885i | ||||
\(731\) | 14.4890 | − | 25.0956i | 0.535894 | − | 0.928195i | ||||
\(732\) | 11.4345 | − | 12.0464i | 0.422630 | − | 0.445248i | ||||
\(733\) | −5.30936 | − | 9.19609i | −0.196106 | − | 0.339665i | 0.751157 | − | 0.660124i | \(-0.229496\pi\) |
−0.947262 | + | 0.320459i | \(0.896163\pi\) | |||||||
\(734\) | 6.53196 | + | 0.187574i | 0.241099 | + | 0.00692348i | ||||
\(735\) | −0.769066 | + | 4.26686i | −0.0283674 | + | 0.157386i | ||||
\(736\) | −0.560977 | + | 3.88122i | −0.0206779 | + | 0.143064i | ||||
\(737\) | − | 6.01242i | − | 0.221470i | ||||||
\(738\) | −3.92910 | − | 28.2417i | −0.144632 | − | 1.03959i | ||||
\(739\) | 25.7536i | 0.947362i | 0.880696 | + | 0.473681i | \(0.157075\pi\) | ||||
−0.880696 | + | 0.473681i | \(0.842925\pi\) | |||||||
\(740\) | −0.819084 | + | 14.2499i | −0.0301101 | + | 0.523836i | ||||
\(741\) | 9.75438 | + | 8.24816i | 0.358336 | + | 0.303004i | ||||
\(742\) | −0.0361117 | + | 1.25753i | −0.00132570 | + | 0.0461655i | ||||
\(743\) | −1.97016 | − | 3.41241i | −0.0722780 | − | 0.125189i | 0.827621 | − | 0.561287i | \(-0.189694\pi\) |
−0.899899 | + | 0.436098i | \(0.856360\pi\) | |||||||
\(744\) | −29.4717 | + | 29.3158i | −1.08049 | + | 1.07477i | ||||
\(745\) | −22.1550 | + | 38.3737i | −0.811698 | + | 1.40590i | ||||
\(746\) | 33.1949 | + | 20.4575i | 1.21535 | + | 0.749003i | ||||
\(747\) | 6.48496 | + | 38.4833i | 0.237272 | + | 1.40803i | ||||
\(748\) | 9.93976 | − | 5.00141i | 0.363434 | − | 0.182870i | ||||
\(749\) | 14.7545 | + | 8.51853i | 0.539119 | + | 0.311260i | ||||
\(750\) | 15.2793 | − | 17.0517i | 0.557923 | − | 0.622640i | ||||
\(751\) | −10.3540 | + | 5.97786i | −0.377821 | + | 0.218135i | −0.676870 | − | 0.736103i | \(-0.736664\pi\) |
0.299049 | + | 0.954238i | \(0.403331\pi\) | |||||||
\(752\) | 29.2292 | + | 3.37133i | 1.06588 | + | 0.122940i | ||||
\(753\) | −1.79367 | − | 4.98685i | −0.0653649 | − | 0.181731i | ||||
\(754\) | 20.9638 | + | 38.8444i | 0.763457 | + | 1.41463i | ||||
\(755\) | −52.5466 | −1.91237 | ||||||||
\(756\) | −10.3677 | − | 0.714413i | −0.377070 | − | 0.0259829i | ||||
\(757\) | 1.73758 | 0.0631534 | 0.0315767 | − | 0.999501i | \(-0.489947\pi\) | ||||
0.0315767 | + | 0.999501i | \(0.489947\pi\) | |||||||
\(758\) | 13.8205 | + | 25.6084i | 0.501983 | + | 0.930138i | ||||
\(759\) | −0.285637 | − | 0.794142i | −0.0103680 | − | 0.0288255i | ||||
\(760\) | 15.2259 | − | 7.12113i | 0.552302 | − | 0.258310i | ||||
\(761\) | −25.7786 | + | 14.8833i | −0.934473 | + | 0.539518i | −0.888223 | − | 0.459412i | \(-0.848060\pi\) |
−0.0462496 | + | 0.998930i | \(0.514727\pi\) | |||||||
\(762\) | −8.03254 | + | 8.96429i | −0.290988 | + | 0.324742i | ||||
\(763\) | 2.10842 | + | 1.21729i | 0.0763298 | + | 0.0440690i | ||||
\(764\) | 6.07933 | + | 12.0820i | 0.219942 | + | 0.437112i | ||||
\(765\) | 55.7012 | + | 20.7535i | 2.01388 | + | 0.750346i | ||||
\(766\) | −0.110175 | − | 0.0678989i | −0.00398077 | − | 0.00245329i | ||||
\(767\) | 11.2782 | − | 19.5343i | 0.407231 | − | 0.705344i | ||||
\(768\) | 25.4381 | + | 10.9956i | 0.917918 | + | 0.396769i | ||||
\(769\) | 11.5167 | + | 19.9475i | 0.415303 | + | 0.719327i | 0.995460 | − | 0.0951782i | \(-0.0303421\pi\) |
−0.580157 | + | 0.814505i | \(0.697009\pi\) | |||||||
\(770\) | −0.0714214 | + | 2.48713i | −0.00257385 | + | 0.0896301i | ||||
\(771\) | −26.2568 | − | 22.2024i | −0.945615 | − | 0.799598i | ||||
\(772\) | −5.52315 | − | 0.317471i | −0.198783 | − | 0.0114260i | ||||
\(773\) | 1.33102i | 0.0478734i | 0.999713 | + | 0.0239367i | \(0.00762002\pi\) | ||||
−0.999713 | + | 0.0239367i | \(0.992380\pi\) | |||||||
\(774\) | −12.2525 | + | 9.54534i | −0.440408 | + | 0.343100i | ||||
\(775\) | 10.7412i | 0.385835i | ||||||||
\(776\) | −31.5854 | − | 22.0627i | −1.13385 | − | 0.792003i | ||||
\(777\) | −0.875952 | + | 4.85988i | −0.0314246 | + | 0.174347i | ||||
\(778\) | 2.70118 | + | 0.0775679i | 0.0968419 | + | 0.00278094i | ||||
\(779\) | 7.97795 | + | 13.8182i | 0.285840 | + | 0.495089i | ||||
\(780\) | 19.5372 | + | 18.5447i | 0.699543 | + | 0.664006i | ||||
\(781\) | −2.22989 | + | 3.86229i | −0.0797919 | + | 0.138204i | ||||
\(782\) | 4.07146 | − | 6.60646i | 0.145595 | − | 0.236247i | ||||
\(783\) | −25.5875 | − | 45.5073i | −0.914423 | − | 1.62630i | ||||
\(784\) | 2.38375 | − | 3.21212i | 0.0851339 | − | 0.114719i | ||||
\(785\) | 3.65055 | + | 2.10764i | 0.130294 | + | 0.0752250i | ||||
\(786\) | −2.63810 | + | 12.5597i | −0.0940977 | + | 0.447988i | ||||
\(787\) | −1.23901 | + | 0.715343i | −0.0441659 | + | 0.0254992i | −0.521920 | − | 0.852994i | \(-0.674784\pi\) |
0.477754 | + | 0.878493i | \(0.341451\pi\) | |||||||
\(788\) | 28.8614 | + | 18.9510i | 1.02815 | + | 0.675102i | ||||
\(789\) | 32.4293 | + | 5.84511i | 1.15451 | + | 0.208091i | ||||
\(790\) | −8.17536 | + | 4.41213i | −0.290866 | + | 0.156977i | ||||
\(791\) | 4.77802 | 0.169887 | ||||||||
\(792\) | −5.94455 | + | 0.481486i | −0.211230 | + | 0.0171089i | ||||
\(793\) | −14.8945 | −0.528919 | ||||||||
\(794\) | −37.8778 | + | 20.4421i | −1.34423 | + | 0.725465i | ||||
\(795\) | −2.49034 | + | 2.94510i | −0.0883231 | + | 0.104452i | ||||
\(796\) | −24.2282 | − | 15.9087i | −0.858746 | − | 0.563871i | ||||
\(797\) | −29.9747 | + | 17.3059i | −1.06176 | + | 0.613007i | −0.925918 | − | 0.377724i | \(-0.876707\pi\) |
−0.135841 | + | 0.990731i | \(0.543373\pi\) | |||||||
\(798\) | 5.52643 | − | 1.81035i | 0.195634 | − | 0.0640856i | ||||
\(799\) | −50.4240 | − | 29.1123i | −1.78387 | − | 1.02992i | ||||
\(800\) | 6.64983 | − | 2.65646i | 0.235107 | − | 0.0939202i | ||||
\(801\) | −3.28367 | − | 3.97418i | −0.116023 | − | 0.140421i | ||||
\(802\) | −16.2116 | + | 26.3053i | −0.572450 | + | 0.928873i | ||||
\(803\) | 2.88253 | − | 4.99269i | 0.101722 | − | 0.176188i | ||||
\(804\) | −28.4132 | + | 8.41253i | −1.00206 | + | 0.296687i | ||||
\(805\) | 0.867647 | + | 1.50281i | 0.0305805 | + | 0.0529671i | ||||
\(806\) | 37.2624 | + | 1.07004i | 1.31251 | + | 0.0376906i | ||||
\(807\) | 44.1341 | − | 15.8741i | 1.55359 | − | 0.558796i | ||||
\(808\) | −4.18529 | + | 5.99175i | −0.147238 | + | 0.210789i | ||||
\(809\) | − | 21.7895i | − | 0.766078i | −0.923732 | − | 0.383039i | \(-0.874878\pi\) | ||
0.923732 | − | 0.383039i | \(-0.125122\pi\) | |||||||
\(810\) | −23.4844 | − | 21.5303i | −0.825157 | − | 0.756498i | ||||
\(811\) | 14.6383i | 0.514020i | 0.966409 | + | 0.257010i | \(0.0827374\pi\) | ||||
−0.966409 | + | 0.257010i | \(0.917263\pi\) | |||||||
\(812\) | 20.0616 | + | 1.15314i | 0.704024 | + | 0.0404673i | ||||
\(813\) | −47.4687 | + | 17.0735i | −1.66480 | + | 0.598795i | ||||
\(814\) | −0.0813476 | + | 2.83280i | −0.00285123 | + | 0.0992896i | ||||
\(815\) | −18.6860 | − | 32.3652i | −0.654544 | − | 1.13370i | ||||
\(816\) | −37.5431 | − | 39.9749i | −1.31427 | − | 1.39940i | ||||
\(817\) | 4.34571 | − | 7.52699i | 0.152037 | − | 0.263336i | ||||
\(818\) | −5.38851 | − | 3.32086i | −0.188405 | − | 0.116111i | ||||
\(819\) | 5.93609 | + | 7.18437i | 0.207424 | + | 0.251042i | ||||
\(820\) | 15.1233 | + | 30.0560i | 0.528129 | + | 1.04960i | ||||
\(821\) | −15.6555 | − | 9.03872i | −0.546382 | − | 0.315454i | 0.201280 | − | 0.979534i | \(-0.435490\pi\) |
−0.747661 | + | 0.664080i | \(0.768823\pi\) | |||||||
\(822\) | 7.95669 | + | 24.2893i | 0.277521 | + | 0.847187i | ||||
\(823\) | 10.4800 | − | 6.05062i | 0.365309 | − | 0.210911i | −0.306098 | − | 0.952000i | \(-0.599024\pi\) |
0.671407 | + | 0.741089i | \(0.265690\pi\) | |||||||
\(824\) | −16.1304 | − | 34.4889i | −0.561928 | − | 1.20148i | ||||
\(825\) | −0.995047 | + | 1.17676i | −0.0346431 | + | 0.0409694i | ||||
\(826\) | −4.87695 | − | 9.03663i | −0.169691 | − | 0.314425i | ||||
\(827\) | −50.7180 | −1.76364 | −0.881819 | − | 0.471588i | \(-0.843681\pi\) | ||||
−0.881819 | + | 0.471588i | \(0.843681\pi\) | |||||||
\(828\) | −3.35326 | + | 2.46100i | −0.116534 | + | 0.0855258i | ||||
\(829\) | −14.5505 | −0.505359 | −0.252679 | − | 0.967550i | \(-0.581312\pi\) | ||||
−0.252679 | + | 0.967550i | \(0.581312\pi\) | |||||||
\(830\) | −21.8711 | − | 40.5257i | −0.759159 | − | 1.40667i | ||||
\(831\) | −28.0329 | − | 5.05269i | −0.972450 | − | 0.175276i | ||||
\(832\) | −8.55312 | − | 23.3337i | −0.296526 | − | 0.808950i | ||||
\(833\) | −6.85506 | + | 3.95777i | −0.237514 | + | 0.137129i | ||||
\(834\) | −28.4687 | − | 5.97971i | −0.985790 | − | 0.207060i | ||||
\(835\) | 5.07554 | + | 2.93036i | 0.175646 | + | 0.101409i | ||||
\(836\) | 2.98126 | − | 1.50008i | 0.103109 | − | 0.0518815i | ||||
\(837\) | −44.0879 | − | 0.501820i | −1.52390 | − | 0.0173454i | ||||
\(838\) | −27.4552 | − | 16.9202i | −0.948423 | − | 0.584498i | ||||
\(839\) | 7.34607 | − | 12.7238i | 0.253615 | − | 0.439273i | −0.710904 | − | 0.703289i | \(-0.751714\pi\) |
0.964518 | + | 0.264016i | \(0.0850472\pi\) | |||||||
\(840\) | 11.8535 | − | 3.14246i | 0.408985 | − | 0.108425i | ||||
\(841\) | 35.9746 | + | 62.3099i | 1.24050 | + | 2.14862i | ||||
\(842\) | 1.14078 | − | 39.7258i | 0.0393138 | − | 1.36904i | ||||
\(843\) | 1.94231 | − | 10.7762i | 0.0668967 | − | 0.371150i | ||||
\(844\) | 2.93935 | − | 51.1369i | 0.101177 | − | 1.76020i | ||||
\(845\) | 8.38499i | 0.288452i | ||||||||
\(846\) | 19.1792 | + | 24.6187i | 0.659395 | + | 0.846409i | ||||
\(847\) | − | 10.5060i | − | 0.360990i | ||||||
\(848\) | 3.26515 | − | 1.41434i | 0.112126 | − | 0.0485687i | ||||
\(849\) | 10.9170 | + | 9.23127i | 0.374671 | + | 0.316816i | ||||
\(850\) | −14.1646 | − | 0.406754i | −0.485840 | − | 0.0139516i | ||||
\(851\) | 0.988234 | + | 1.71167i | 0.0338762 | + | 0.0586754i | ||||
\(852\) | 21.3723 | + | 5.13384i | 0.732202 | + | 0.175882i | ||||
\(853\) | 0.885883 | − | 1.53439i | 0.0303321 | − | 0.0525367i | −0.850461 | − | 0.526038i | \(-0.823677\pi\) |
0.880793 | + | 0.473502i | \(0.157010\pi\) | |||||||
\(854\) | −3.55749 | + | 5.77248i | −0.121735 | + | 0.197530i | ||||
\(855\) | 16.7066 | + | 6.22466i | 0.571353 | + | 0.212879i | ||||
\(856\) | 4.14508 | − | 48.0095i | 0.141676 | − | 1.64093i | ||||
\(857\) | 0.277829 | + | 0.160404i | 0.00949045 | + | 0.00547931i | 0.504738 | − | 0.863273i | \(-0.331589\pi\) |
−0.495247 | + | 0.868752i | \(0.664923\pi\) | |||||||
\(858\) | 3.98317 | + | 3.56916i | 0.135983 | + | 0.121849i | ||||
\(859\) | −27.9931 | + | 16.1618i | −0.955112 | + | 0.551434i | −0.894665 | − | 0.446737i | \(-0.852586\pi\) |
−0.0604467 | + | 0.998171i | \(0.519253\pi\) | |||||||
\(860\) | 10.0596 | − | 15.3202i | 0.343028 | − | 0.522415i | ||||
\(861\) | 3.93982 | + | 10.9537i | 0.134269 | + | 0.373300i | ||||
\(862\) | −0.760107 | + | 0.410219i | −0.0258893 | + | 0.0139721i | ||||
\(863\) | 18.8459 | 0.641522 | 0.320761 | − | 0.947160i | \(-0.396061\pi\) | ||||
0.320761 | + | 0.947160i | \(0.396061\pi\) | |||||||
\(864\) | 10.5930 | + | 27.4188i | 0.360380 | + | 0.932806i | ||||
\(865\) | −2.53174 | −0.0860816 | ||||||||
\(866\) | −13.0887 | + | 7.06378i | −0.444772 | + | 0.240037i | ||||
\(867\) | 26.7642 | + | 74.4111i | 0.908959 | + | 2.52713i | ||||
\(868\) | 9.31468 | − | 14.1858i | 0.316161 | − | 0.481497i | ||||
\(869\) | −1.59739 | + | 0.922256i | −0.0541879 | + | 0.0312854i | ||||
\(870\) | 45.8806 | + | 41.1118i | 1.55550 | + | 1.39382i | ||||
\(871\) | 23.0132 | + | 13.2867i | 0.779772 | + | 0.450201i | ||||
\(872\) | 0.592331 | − | 6.86054i | 0.0200589 | − | 0.232327i | ||||
\(873\) | −6.79056 | − | 40.2968i | −0.229826 | − | 1.36384i | ||||
\(874\) | 1.22116 | − | 1.98149i | 0.0413064 | − | 0.0670250i | ||||
\(875\) | −4.67359 | + | 8.09490i | −0.157996 | + | 0.273657i | ||||
\(876\) | −27.6274 | − | 6.63639i | −0.933445 | − | 0.224223i | ||||
\(877\) | −20.0001 | − | 34.6412i | −0.675355 | − | 1.16975i | −0.976365 | − | 0.216129i | \(-0.930657\pi\) |
0.301010 | − | 0.953621i | \(-0.402676\pi\) | |||||||
\(878\) | 53.2681 | + | 1.52967i | 1.79771 | + | 0.0516237i | ||||
\(879\) | −10.2384 | − | 8.65746i | −0.345333 | − | 0.292009i | ||||
\(880\) | 6.45777 | − | 2.79727i | 0.217691 | − | 0.0942960i | ||||
\(881\) | − | 4.11680i | − | 0.138699i | −0.997592 | − | 0.0693493i | \(-0.977908\pi\) | ||
0.997592 | − | 0.0693493i | \(-0.0220923\pi\) | |||||||
\(882\) | 4.20217 | − | 0.584622i | 0.141494 | − | 0.0196853i | ||||
\(883\) | 58.6257i | 1.97291i | 0.164027 | + | 0.986456i | \(0.447551\pi\) | ||||
−0.164027 | + | 0.986456i | \(0.552449\pi\) | |||||||
\(884\) | −2.82215 | + | 49.0980i | −0.0949193 | + | 1.65134i | ||||
\(885\) | 5.58422 | − | 30.9819i | 0.187711 | − | 1.04144i | ||||
\(886\) | 1.68430 | − | 58.6529i | 0.0565850 | − | 1.97048i | ||||
\(887\) | −14.3027 | − | 24.7730i | −0.480238 | − | 0.831797i | 0.519505 | − | 0.854468i | \(-0.326117\pi\) |
−0.999743 | + | 0.0226703i | \(0.992783\pi\) | |||||||
\(888\) | 13.5009 | − | 3.57920i | 0.453061 | − | 0.120110i | ||||
\(889\) | 2.45696 | − | 4.25559i | 0.0824040 | − | 0.142728i | ||||
\(890\) | 5.17875 | + | 3.19158i | 0.173592 | + | 0.106982i | ||||
\(891\) | −4.78358 | − | 4.13921i | −0.160256 | − | 0.138669i | ||||
\(892\) | 27.2594 | − | 13.7161i | 0.912711 | − | 0.459250i | ||||
\(893\) | −15.1238 | − | 8.73173i | −0.506099 | − | 0.292196i | ||||
\(894\) | 42.4339 | + | 8.91302i | 1.41920 | + | 0.298096i | ||||
\(895\) | −25.7212 | + | 14.8502i | −0.859766 | + | 0.496386i | ||||
\(896\) | −11.0860 | − | 2.25832i | −0.370358 | − | 0.0754452i | ||||
\(897\) | 3.67088 | + | 0.661645i | 0.122567 | + | 0.0220917i | ||||
\(898\) | 21.4700 | + | 39.7824i | 0.716463 | + | 1.32756i | ||||
\(899\) | 85.2545 | 2.84340 | ||||||||
\(900\) | 6.95331 | + | 3.05584i | 0.231777 | + | 0.101861i | ||||
\(901\) | −7.04147 | −0.234586 | ||||||||
\(902\) | 3.17278 | + | 5.87893i | 0.105642 | + | 0.195747i | ||||
\(903\) | 4.09422 | − | 4.84187i | 0.136247 | − | 0.161128i | ||||
\(904\) | −5.72536 | − | 12.2416i | −0.190423 | − | 0.407149i | ||||
\(905\) | 25.4103 | − | 14.6706i | 0.844666 | − | 0.487668i | ||||
\(906\) | 16.0071 | + | 48.8647i | 0.531800 | + | 1.62342i | ||||
\(907\) | 9.05264 | + | 5.22654i | 0.300588 | + | 0.173545i | 0.642707 | − | 0.766112i | \(-0.277811\pi\) |
−0.342119 | + | 0.939657i | \(0.611145\pi\) | |||||||
\(908\) | 6.98093 | + | 13.8739i | 0.231670 | + | 0.460420i | ||||
\(909\) | −7.64432 | + | 1.28817i | −0.253546 | + | 0.0427259i | ||||
\(910\) | −9.36194 | − | 5.76961i | −0.310345 | − | 0.191261i | ||||
\(911\) | 7.21831 | − | 12.5025i | 0.239153 | − | 0.414226i | −0.721318 | − | 0.692604i | \(-0.756463\pi\) |
0.960472 | + | 0.278378i | \(0.0897968\pi\) | |||||||
\(912\) | −11.2604 | − | 11.9898i | −0.372868 | − | 0.397021i | ||||
\(913\) | −4.57167 | − | 7.91836i | −0.151300 | − | 0.262059i | ||||
\(914\) | 1.20577 | − | 41.9891i | 0.0398834 | − | 1.38888i | ||||
\(915\) | −19.5609 | + | 7.03567i | −0.646664 | + | 0.232592i | ||||
\(916\) | −22.7643 | − | 1.30850i | −0.752155 | − | 0.0432339i | ||||
\(917\) | − | 5.23935i | − | 0.173019i | ||||||
\(918\) | 2.33131 | − | 58.1203i | 0.0769445 | − | 1.91826i | ||||
\(919\) | 12.1505i | 0.400810i | 0.979713 | + | 0.200405i | \(0.0642257\pi\) | ||||
−0.979713 | + | 0.200405i | \(0.935774\pi\) | |||||||
\(920\) | 2.81061 | − | 4.02373i | 0.0926631 | − | 0.132659i | ||||
\(921\) | −23.9637 | + | 8.61925i | −0.789630 | + | 0.284014i | ||||
\(922\) | 14.6379 | + | 0.420346i | 0.482073 | + | 0.0138434i | ||||
\(923\) | −9.85555 | − | 17.0703i | −0.324399 | − | 0.561876i | ||||
\(924\) | 2.33462 | − | 0.691231i | 0.0768034 | − | 0.0227398i | ||||
\(925\) | 1.80453 | − | 3.12554i | 0.0593325 | − | 0.102767i | ||||
\(926\) | 11.7563 | − | 19.0761i | 0.386337 | − | 0.626881i | ||||
\(927\) | 14.0997 | − | 37.8428i | 0.463096 | − | 1.24292i | ||||
\(928\) | −21.0848 | − | 52.7808i | −0.692142 | − | 1.73261i | ||||
\(929\) | −38.7325 | − | 22.3622i | −1.27077 | − | 0.733680i | −0.295638 | − | 0.955300i | \(-0.595532\pi\) |
−0.975133 | + | 0.221620i | \(0.928866\pi\) | |||||||
\(930\) | 49.4422 | − | 16.1963i | 1.62127 | − | 0.531096i | ||||
\(931\) | −2.05605 | + | 1.18706i | −0.0673844 | + | 0.0389044i | ||||
\(932\) | −32.4520 | − | 21.3086i | −1.06300 | − | 0.697988i | ||||
\(933\) | 14.0178 | − | 16.5777i | 0.458923 | − | 0.542728i | ||||
\(934\) | −34.8276 | + | 18.7960i | −1.13959 | + | 0.615023i | ||||
\(935\) | −13.9266 | −0.455447 | ||||||||
\(936\) | 11.2937 | − | 23.8174i | 0.369148 | − | 0.778497i | ||||
\(937\) | −28.8712 | −0.943180 | −0.471590 | − | 0.881818i | \(-0.656320\pi\) | ||||
−0.471590 | + | 0.881818i | \(0.656320\pi\) | |||||||
\(938\) | 10.6460 | − | 5.74547i | 0.347603 | − | 0.187596i | ||||
\(939\) | 39.5838 | + | 7.13465i | 1.29177 | + | 0.232830i | ||||
\(940\) | −30.7825 | − | 20.2124i | −1.00401 | − | 0.659257i | ||||
\(941\) | 31.0674 | − | 17.9368i | 1.01277 | − | 0.584723i | 0.100768 | − | 0.994910i | \(-0.467870\pi\) |
0.912001 | + | 0.410187i | \(0.134537\pi\) | |||||||
\(942\) | 0.847910 | − | 4.03680i | 0.0276264 | − | 0.131526i | ||||
\(943\) | 4.03488 | + | 2.32954i | 0.131394 | + | 0.0758603i | ||||
\(944\) | −17.3085 | + | 23.3233i | −0.563344 | + | 0.759110i | ||||
\(945\) | 11.1895 | + | 6.63121i | 0.363995 | + | 0.215713i | ||||
\(946\) | 1.90918 | − | 3.09789i | 0.0620728 | − | 0.100721i | ||||
\(947\) | 8.81974 | − | 15.2762i | 0.286603 | − | 0.496411i | −0.686394 | − | 0.727230i | \(-0.740807\pi\) |
0.972997 | + | 0.230819i | \(0.0741406\pi\) | |||||||
\(948\) | 6.59341 | + | 6.25847i | 0.214144 | + | 0.203266i | ||||
\(949\) | 12.7400 | + | 22.0664i | 0.413559 | + | 0.716306i | ||||
\(950\) | −4.24841 | − | 0.121999i | −0.137837 | − | 0.00395816i | ||||
\(951\) | 2.10424 | − | 11.6746i | 0.0682347 | − | 0.378574i | ||||
\(952\) | 18.3542 | + | 12.8206i | 0.594864 | + | 0.415518i | ||||
\(953\) | 9.66882i | 0.313204i | 0.987662 | + | 0.156602i | \(0.0500540\pi\) | ||||
−0.987662 | + | 0.156602i | \(0.949946\pi\) | |||||||
\(954\) | 3.49737 | + | 1.41868i | 0.113231 | + | 0.0459316i | ||||
\(955\) | − | 16.9280i | − | 0.547779i | ||||||
\(956\) | 14.2738 | + | 0.820458i | 0.461647 | + | 0.0265355i | ||||
\(957\) | 9.34009 | + | 7.89784i | 0.301922 | + | 0.255301i | ||||
\(958\) | 0.940523 | − | 32.7522i | 0.0303869 | − | 1.05818i | ||||
\(959\) | −5.21728 | − | 9.03659i | −0.168475 | − | 0.291807i | ||||
\(960\) | −22.2549 | − | 26.6039i | −0.718273 | − | 0.858637i | ||||
\(961\) | 20.4999 | − | 35.5069i | 0.661288 | − | 1.14538i | ||||
\(962\) | −10.6631 | − | 6.57148i | −0.343791 | − | 0.211873i | ||||
\(963\) | 39.4016 | − | 32.5556i | 1.26970 | − | 1.04909i | ||||
\(964\) | 2.15273 | + | 4.27831i | 0.0693347 | + | 0.137795i | ||||
\(965\) | 5.99645 | + | 3.46205i | 0.193033 | + | 0.111447i | ||||
\(966\) | 1.13320 | − | 1.26465i | 0.0364601 | − | 0.0406894i | ||||
\(967\) | 2.67131 | − | 1.54228i | 0.0859036 | − | 0.0495964i | −0.456433 | − | 0.889758i | \(-0.650873\pi\) |
0.542336 | + | 0.840161i | \(0.317540\pi\) | |||||||
\(968\) | −26.9169 | + | 12.5890i | −0.865143 | + | 0.404626i | ||||
\(969\) | 11.0165 | + | 30.6286i | 0.353900 | + | 0.983932i | ||||
\(970\) | 22.9018 | + | 42.4354i | 0.735333 | + | 1.36252i | ||||
\(971\) | −24.5223 | −0.786958 | −0.393479 | − | 0.919334i | \(-0.628729\pi\) | ||||
−0.393479 | + | 0.919334i | \(0.628729\pi\) | |||||||
\(972\) | −12.8677 | + | 28.3976i | −0.412733 | + | 0.910852i | ||||
\(973\) | 11.8759 | 0.380724 | ||||||||
\(974\) | 9.29956 | + | 17.2314i | 0.297977 | + | 0.552130i | ||||
\(975\) | −2.30523 | − | 6.40912i | −0.0738265 | − | 0.205256i | ||||
\(976\) | 19.0523 | + | 2.19751i | 0.609848 | + | 0.0703406i | ||||
\(977\) | 9.43845 | − | 5.44929i | 0.301963 | − | 0.174338i | −0.341362 | − | 0.939932i | \(-0.610888\pi\) |
0.643324 | + | 0.765594i | \(0.277555\pi\) | |||||||
\(978\) | −24.4051 | + | 27.2360i | −0.780390 | + | 0.870913i | ||||
\(979\) | 1.04600 | + | 0.603909i | 0.0334304 | + | 0.0193010i | ||||
\(980\) | −4.47212 | + | 2.25024i | −0.142857 | + | 0.0718814i | ||||
\(981\) | 5.63047 | − | 4.65218i | 0.179767 | − | 0.148533i | ||||
\(982\) | 4.76759 | + | 2.93819i | 0.152140 | + | 0.0937615i | ||||
\(983\) | −14.8209 | + | 25.6706i | −0.472715 | + | 0.818766i | −0.999512 | − | 0.0312247i | \(-0.990059\pi\) |
0.526798 | + | 0.849991i | \(0.323393\pi\) | |||||||
\(984\) | 23.3430 | − | 23.2195i | 0.744148 | − | 0.740211i | ||||
\(985\) | −21.6068 | − | 37.4241i | −0.688450 | − | 1.19243i | ||||
\(986\) | −3.22847 | + | 112.426i | −0.102815 | + | 3.58038i | ||||
\(987\) | −9.72866 | − | 8.22642i | −0.309667 | − | 0.261850i | ||||
\(988\) | −0.846455 | + | 14.7261i | −0.0269293 | + | 0.468499i | ||||
\(989\) | − | 2.53787i | − | 0.0806996i | ||||||
\(990\) | 6.91705 | + | 2.80586i | 0.219838 | + | 0.0891760i | ||||
\(991\) | − | 20.5496i | − | 0.652779i | −0.945235 | − | 0.326390i | \(-0.894168\pi\) | ||
0.945235 | − | 0.326390i | \(-0.105832\pi\) | |||||||
\(992\) | −47.5063 | − | 6.86638i | −1.50833 | − | 0.218008i | ||||
\(993\) | 2.47710 | − | 13.7432i | 0.0786084 | − | 0.436128i | ||||
\(994\) | −8.96969 | − | 0.257577i | −0.284501 | − | 0.00816983i | ||||
\(995\) | 18.1382 | + | 31.4163i | 0.575020 | + | 0.995963i | ||||
\(996\) | −31.0235 | + | 32.6839i | −0.983019 | + | 1.03563i | ||||
\(997\) | 6.42074 | − | 11.1210i | 0.203347 | − | 0.352207i | −0.746258 | − | 0.665657i | \(-0.768151\pi\) |
0.949605 | + | 0.313450i | \(0.101485\pi\) | |||||||
\(998\) | −16.0071 | + | 25.9735i | −0.506695 | + | 0.822177i | ||||
\(999\) | 12.7447 | + | 7.55283i | 0.403223 | + | 0.238961i |
(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 | 252.2.ba.a.155.6 | ✓ | 72 | |
3.2 | odd | 2 | 756.2.ba.a.575.31 | 72 | |||
4.3 | odd | 2 | inner | 252.2.ba.a.155.17 | yes | 72 | |
9.4 | even | 3 | 756.2.ba.a.71.20 | 72 | |||
9.5 | odd | 6 | inner | 252.2.ba.a.239.17 | yes | 72 | |
12.11 | even | 2 | 756.2.ba.a.575.20 | 72 | |||
36.23 | even | 6 | inner | 252.2.ba.a.239.6 | yes | 72 | |
36.31 | odd | 6 | 756.2.ba.a.71.31 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.ba.a.155.6 | ✓ | 72 | 1.1 | even | 1 | trivial | |
252.2.ba.a.155.17 | yes | 72 | 4.3 | odd | 2 | inner | |
252.2.ba.a.239.6 | yes | 72 | 36.23 | even | 6 | inner | |
252.2.ba.a.239.17 | yes | 72 | 9.5 | odd | 6 | inner | |
756.2.ba.a.71.20 | 72 | 9.4 | even | 3 | |||
756.2.ba.a.71.31 | 72 | 36.31 | odd | 6 | |||
756.2.ba.a.575.20 | 72 | 12.11 | even | 2 | |||
756.2.ba.a.575.31 | 72 | 3.2 | odd | 2 |