Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(53,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.e (of order \(3\), 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: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{5})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + 2x^{2} + x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Root | \(-0.309017 + 0.535233i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 91.79 |
Dual form | 91.2.e.b.53.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.190983 | − | 0.330792i | 0.135045 | − | 0.233905i | −0.790569 | − | 0.612372i | \(-0.790215\pi\) |
0.925615 | + | 0.378467i | \(0.123549\pi\) | |||||||
\(3\) | −1.11803 | − | 1.93649i | −0.645497 | − | 1.11803i | −0.984186 | − | 0.177136i | \(-0.943317\pi\) |
0.338689 | − | 0.940898i | \(-0.390016\pi\) | |||||||
\(4\) | 0.927051 | + | 1.60570i | 0.463525 | + | 0.802850i | ||||
\(5\) | 1.11803 | − | 1.93649i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | \(-0.666667\pi\) |
1.00000 | \(0\) | |||||||||
\(6\) | −0.854102 | −0.348686 | ||||||||
\(7\) | −2.00000 | − | 1.73205i | −0.755929 | − | 0.654654i | ||||
\(8\) | 1.47214 | 0.520479 | ||||||||
\(9\) | −1.00000 | + | 1.73205i | −0.333333 | + | 0.577350i | ||||
\(10\) | −0.427051 | − | 0.739674i | −0.135045 | − | 0.233905i | ||||
\(11\) | 1.50000 | + | 2.59808i | 0.452267 | + | 0.783349i | 0.998526 | − | 0.0542666i | \(-0.0172821\pi\) |
−0.546259 | + | 0.837616i | \(0.683949\pi\) | |||||||
\(12\) | 2.07295 | − | 3.59045i | 0.598409 | − | 1.03647i | ||||
\(13\) | −1.00000 | −0.277350 | ||||||||
\(14\) | −0.954915 | + | 0.330792i | −0.255212 | + | 0.0884080i | ||||
\(15\) | −5.00000 | −1.29099 | ||||||||
\(16\) | −1.57295 | + | 2.72443i | −0.393237 | + | 0.681107i | ||||
\(17\) | 3.73607 | + | 6.47106i | 0.906130 | + | 1.56946i | 0.819394 | + | 0.573231i | \(0.194310\pi\) |
0.0867359 | + | 0.996231i | \(0.472356\pi\) | |||||||
\(18\) | 0.381966 | + | 0.661585i | 0.0900303 | + | 0.155937i | ||||
\(19\) | −1.50000 | + | 2.59808i | −0.344124 | + | 0.596040i | −0.985194 | − | 0.171442i | \(-0.945157\pi\) |
0.641071 | + | 0.767482i | \(0.278491\pi\) | |||||||
\(20\) | 4.14590 | 0.927051 | ||||||||
\(21\) | −1.11803 | + | 5.80948i | −0.243975 | + | 1.26773i | ||||
\(22\) | 1.14590 | 0.244306 | ||||||||
\(23\) | 1.88197 | − | 3.25966i | 0.392417 | − | 0.679686i | −0.600351 | − | 0.799737i | \(-0.704972\pi\) |
0.992768 | + | 0.120051i | \(0.0383057\pi\) | |||||||
\(24\) | −1.64590 | − | 2.85078i | −0.335968 | − | 0.581913i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −0.190983 | + | 0.330792i | −0.0374548 | + | 0.0648737i | ||||
\(27\) | −2.23607 | −0.430331 | ||||||||
\(28\) | 0.927051 | − | 4.81710i | 0.175196 | − | 0.910346i | ||||
\(29\) | −4.47214 | −0.830455 | −0.415227 | − | 0.909718i | \(-0.636298\pi\) | ||||
−0.415227 | + | 0.909718i | \(0.636298\pi\) | |||||||
\(30\) | −0.954915 | + | 1.65396i | −0.174343 | + | 0.301971i | ||||
\(31\) | −2.50000 | − | 4.33013i | −0.449013 | − | 0.777714i | 0.549309 | − | 0.835619i | \(-0.314891\pi\) |
−0.998322 | + | 0.0579057i | \(0.981558\pi\) | |||||||
\(32\) | 2.07295 | + | 3.59045i | 0.366449 | + | 0.634708i | ||||
\(33\) | 3.35410 | − | 5.80948i | 0.583874 | − | 1.01130i | ||||
\(34\) | 2.85410 | 0.489474 | ||||||||
\(35\) | −5.59017 | + | 1.93649i | −0.944911 | + | 0.327327i | ||||
\(36\) | −3.70820 | −0.618034 | ||||||||
\(37\) | 4.35410 | − | 7.54153i | 0.715810 | − | 1.23982i | −0.246836 | − | 0.969057i | \(-0.579391\pi\) |
0.962646 | − | 0.270762i | \(-0.0872757\pi\) | |||||||
\(38\) | 0.572949 | + | 0.992377i | 0.0929446 | + | 0.160985i | ||||
\(39\) | 1.11803 | + | 1.93649i | 0.179029 | + | 0.310087i | ||||
\(40\) | 1.64590 | − | 2.85078i | 0.260239 | − | 0.450748i | ||||
\(41\) | 4.47214 | 0.698430 | 0.349215 | − | 0.937043i | \(-0.386448\pi\) | ||||
0.349215 | + | 0.937043i | \(0.386448\pi\) | |||||||
\(42\) | 1.70820 | + | 1.47935i | 0.263582 | + | 0.228268i | ||||
\(43\) | −8.00000 | −1.21999 | −0.609994 | − | 0.792406i | \(-0.708828\pi\) | ||||
−0.609994 | + | 0.792406i | \(0.708828\pi\) | |||||||
\(44\) | −2.78115 | + | 4.81710i | −0.419275 | + | 0.726205i | ||||
\(45\) | 2.23607 | + | 3.87298i | 0.333333 | + | 0.577350i | ||||
\(46\) | −0.718847 | − | 1.24508i | −0.105988 | − | 0.183577i | ||||
\(47\) | −0.736068 | + | 1.27491i | −0.107367 | + | 0.185964i | −0.914703 | − | 0.404128i | \(-0.867575\pi\) |
0.807336 | + | 0.590092i | \(0.200909\pi\) | |||||||
\(48\) | 7.03444 | 1.01533 | ||||||||
\(49\) | 1.00000 | + | 6.92820i | 0.142857 | + | 0.989743i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 8.35410 | − | 14.4697i | 1.16981 | − | 2.02617i | ||||
\(52\) | −0.927051 | − | 1.60570i | −0.128559 | − | 0.222670i | ||||
\(53\) | −0.736068 | − | 1.27491i | −0.101107 | − | 0.175122i | 0.811034 | − | 0.584999i | \(-0.198905\pi\) |
−0.912141 | + | 0.409877i | \(0.865572\pi\) | |||||||
\(54\) | −0.427051 | + | 0.739674i | −0.0581143 | + | 0.100657i | ||||
\(55\) | 6.70820 | 0.904534 | ||||||||
\(56\) | −2.94427 | − | 2.54981i | −0.393445 | − | 0.340733i | ||||
\(57\) | 6.70820 | 0.888523 | ||||||||
\(58\) | −0.854102 | + | 1.47935i | −0.112149 | + | 0.194248i | ||||
\(59\) | −3.73607 | − | 6.47106i | −0.486395 | − | 0.842460i | 0.513483 | − | 0.858100i | \(-0.328355\pi\) |
−0.999878 | + | 0.0156395i | \(0.995022\pi\) | |||||||
\(60\) | −4.63525 | − | 8.02850i | −0.598409 | − | 1.03647i | ||||
\(61\) | −1.50000 | + | 2.59808i | −0.192055 | + | 0.332650i | −0.945931 | − | 0.324367i | \(-0.894849\pi\) |
0.753876 | + | 0.657017i | \(0.228182\pi\) | |||||||
\(62\) | −1.90983 | −0.242549 | ||||||||
\(63\) | 5.00000 | − | 1.73205i | 0.629941 | − | 0.218218i | ||||
\(64\) | −4.70820 | −0.588525 | ||||||||
\(65\) | −1.11803 | + | 1.93649i | −0.138675 | + | 0.240192i | ||||
\(66\) | −1.28115 | − | 2.21902i | −0.157699 | − | 0.273143i | ||||
\(67\) | 1.50000 | + | 2.59808i | 0.183254 | + | 0.317406i | 0.942987 | − | 0.332830i | \(-0.108004\pi\) |
−0.759733 | + | 0.650236i | \(0.774670\pi\) | |||||||
\(68\) | −6.92705 | + | 11.9980i | −0.840028 | + | 1.45497i | ||||
\(69\) | −8.41641 | −1.01322 | ||||||||
\(70\) | −0.427051 | + | 2.21902i | −0.0510424 | + | 0.265224i | ||||
\(71\) | 8.94427 | 1.06149 | 0.530745 | − | 0.847532i | \(-0.321912\pi\) | ||||
0.530745 | + | 0.847532i | \(0.321912\pi\) | |||||||
\(72\) | −1.47214 | + | 2.54981i | −0.173493 | + | 0.300498i | ||||
\(73\) | −5.35410 | − | 9.27358i | −0.626650 | − | 1.08539i | −0.988219 | − | 0.153045i | \(-0.951092\pi\) |
0.361569 | − | 0.932345i | \(-0.382241\pi\) | |||||||
\(74\) | −1.66312 | − | 2.88061i | −0.193334 | − | 0.334864i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.56231 | −0.638040 | ||||||||
\(77\) | 1.50000 | − | 7.79423i | 0.170941 | − | 0.888235i | ||||
\(78\) | 0.854102 | 0.0967080 | ||||||||
\(79\) | −5.35410 | + | 9.27358i | −0.602384 | + | 1.04336i | 0.390076 | + | 0.920783i | \(0.372449\pi\) |
−0.992459 | + | 0.122576i | \(0.960884\pi\) | |||||||
\(80\) | 3.51722 | + | 6.09201i | 0.393237 | + | 0.681107i | ||||
\(81\) | 5.50000 | + | 9.52628i | 0.611111 | + | 1.05848i | ||||
\(82\) | 0.854102 | − | 1.47935i | 0.0943198 | − | 0.163367i | ||||
\(83\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(84\) | −10.3647 | + | 3.59045i | −1.13089 | + | 0.391751i | ||||
\(85\) | 16.7082 | 1.81226 | ||||||||
\(86\) | −1.52786 | + | 2.64634i | −0.164754 | + | 0.285362i | ||||
\(87\) | 5.00000 | + | 8.66025i | 0.536056 | + | 0.928477i | ||||
\(88\) | 2.20820 | + | 3.82472i | 0.235395 | + | 0.407717i | ||||
\(89\) | 1.11803 | − | 1.93649i | 0.118511 | − | 0.205268i | −0.800667 | − | 0.599110i | \(-0.795521\pi\) |
0.919178 | + | 0.393842i | \(0.128854\pi\) | |||||||
\(90\) | 1.70820 | 0.180061 | ||||||||
\(91\) | 2.00000 | + | 1.73205i | 0.209657 | + | 0.181568i | ||||
\(92\) | 6.97871 | 0.727581 | ||||||||
\(93\) | −5.59017 | + | 9.68246i | −0.579674 | + | 1.00402i | ||||
\(94\) | 0.281153 | + | 0.486971i | 0.0289987 | + | 0.0502272i | ||||
\(95\) | 3.35410 | + | 5.80948i | 0.344124 | + | 0.596040i | ||||
\(96\) | 4.63525 | − | 8.02850i | 0.473084 | − | 0.819405i | ||||
\(97\) | −17.4164 | −1.76837 | −0.884184 | − | 0.467139i | \(-0.845285\pi\) | ||||
−0.884184 | + | 0.467139i | \(0.845285\pi\) | |||||||
\(98\) | 2.48278 | + | 0.992377i | 0.250799 | + | 0.100245i | ||||
\(99\) | −6.00000 | −0.603023 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 4.50000 | + | 7.79423i | 0.447767 | + | 0.775555i | 0.998240 | − | 0.0592978i | \(-0.0188862\pi\) |
−0.550474 | + | 0.834853i | \(0.685553\pi\) | |||||||
\(102\) | −3.19098 | − | 5.52694i | −0.315954 | − | 0.547249i | ||||
\(103\) | −5.35410 | + | 9.27358i | −0.527555 | + | 0.913753i | 0.471929 | + | 0.881637i | \(0.343558\pi\) |
−0.999484 | + | 0.0321160i | \(0.989775\pi\) | |||||||
\(104\) | −1.47214 | −0.144355 | ||||||||
\(105\) | 10.0000 | + | 8.66025i | 0.975900 | + | 0.845154i | ||||
\(106\) | −0.562306 | −0.0546160 | ||||||||
\(107\) | 7.11803 | − | 12.3288i | 0.688126 | − | 1.19187i | −0.284317 | − | 0.958730i | \(-0.591767\pi\) |
0.972443 | − | 0.233139i | \(-0.0748999\pi\) | |||||||
\(108\) | −2.07295 | − | 3.59045i | −0.199470 | − | 0.345492i | ||||
\(109\) | −5.35410 | − | 9.27358i | −0.512830 | − | 0.888248i | −0.999889 | − | 0.0148787i | \(-0.995264\pi\) |
0.487059 | − | 0.873369i | \(-0.338070\pi\) | |||||||
\(110\) | 1.28115 | − | 2.21902i | 0.122153 | − | 0.211575i | ||||
\(111\) | −19.4721 | −1.84821 | ||||||||
\(112\) | 7.86475 | − | 2.72443i | 0.743149 | − | 0.257434i | ||||
\(113\) | −14.9443 | −1.40584 | −0.702919 | − | 0.711269i | \(-0.748121\pi\) | ||||
−0.702919 | + | 0.711269i | \(0.748121\pi\) | |||||||
\(114\) | 1.28115 | − | 2.21902i | 0.119991 | − | 0.207830i | ||||
\(115\) | −4.20820 | − | 7.28882i | −0.392417 | − | 0.679686i | ||||
\(116\) | −4.14590 | − | 7.18091i | −0.384937 | − | 0.666730i | ||||
\(117\) | 1.00000 | − | 1.73205i | 0.0924500 | − | 0.160128i | ||||
\(118\) | −2.85410 | −0.262741 | ||||||||
\(119\) | 3.73607 | − | 19.4132i | 0.342485 | − | 1.77960i | ||||
\(120\) | −7.36068 | −0.671935 | ||||||||
\(121\) | 1.00000 | − | 1.73205i | 0.0909091 | − | 0.157459i | ||||
\(122\) | 0.572949 | + | 0.992377i | 0.0518724 | + | 0.0898456i | ||||
\(123\) | −5.00000 | − | 8.66025i | −0.450835 | − | 0.780869i | ||||
\(124\) | 4.63525 | − | 8.02850i | 0.416258 | − | 0.720980i | ||||
\(125\) | 11.1803 | 1.00000 | ||||||||
\(126\) | 0.381966 | − | 1.98475i | 0.0340282 | − | 0.176816i | ||||
\(127\) | 15.4164 | 1.36798 | 0.683992 | − | 0.729489i | \(-0.260242\pi\) | ||||
0.683992 | + | 0.729489i | \(0.260242\pi\) | |||||||
\(128\) | −5.04508 | + | 8.73834i | −0.445927 | + | 0.772368i | ||||
\(129\) | 8.94427 | + | 15.4919i | 0.787499 | + | 1.36399i | ||||
\(130\) | 0.427051 | + | 0.739674i | 0.0374548 | + | 0.0648737i | ||||
\(131\) | 1.88197 | − | 3.25966i | 0.164428 | − | 0.284798i | −0.772024 | − | 0.635593i | \(-0.780755\pi\) |
0.936452 | + | 0.350796i | \(0.114089\pi\) | |||||||
\(132\) | 12.4377 | 1.08256 | ||||||||
\(133\) | 7.50000 | − | 2.59808i | 0.650332 | − | 0.225282i | ||||
\(134\) | 1.14590 | 0.0989905 | ||||||||
\(135\) | −2.50000 | + | 4.33013i | −0.215166 | + | 0.372678i | ||||
\(136\) | 5.50000 | + | 9.52628i | 0.471621 | + | 0.816872i | ||||
\(137\) | 1.88197 | + | 3.25966i | 0.160787 | + | 0.278492i | 0.935151 | − | 0.354249i | \(-0.115263\pi\) |
−0.774364 | + | 0.632740i | \(0.781930\pi\) | |||||||
\(138\) | −1.60739 | + | 2.78408i | −0.136830 | + | 0.236997i | ||||
\(139\) | 3.41641 | 0.289776 | 0.144888 | − | 0.989448i | \(-0.453718\pi\) | ||||
0.144888 | + | 0.989448i | \(0.453718\pi\) | |||||||
\(140\) | −8.29180 | − | 7.18091i | −0.700785 | − | 0.606897i | ||||
\(141\) | 3.29180 | 0.277219 | ||||||||
\(142\) | 1.70820 | − | 2.95870i | 0.143349 | − | 0.248288i | ||||
\(143\) | −1.50000 | − | 2.59808i | −0.125436 | − | 0.217262i | ||||
\(144\) | −3.14590 | − | 5.44886i | −0.262158 | − | 0.454071i | ||||
\(145\) | −5.00000 | + | 8.66025i | −0.415227 | + | 0.719195i | ||||
\(146\) | −4.09017 | −0.338505 | ||||||||
\(147\) | 12.2984 | − | 9.68246i | 1.01435 | − | 0.798596i | ||||
\(148\) | 16.1459 | 1.32718 | ||||||||
\(149\) | 6.35410 | − | 11.0056i | 0.520548 | − | 0.901616i | −0.479166 | − | 0.877724i | \(-0.659061\pi\) |
0.999715 | − | 0.0238920i | \(-0.00760577\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.20820 | + | 5.55677i | 0.261080 | + | 0.452204i | 0.966529 | − | 0.256557i | \(-0.0825880\pi\) |
−0.705449 | + | 0.708760i | \(0.749255\pi\) | |||||||
\(152\) | −2.20820 | + | 3.82472i | −0.179109 | + | 0.310226i | ||||
\(153\) | −14.9443 | −1.20817 | ||||||||
\(154\) | −2.29180 | − | 1.98475i | −0.184678 | − | 0.159936i | ||||
\(155\) | −11.1803 | −0.898027 | ||||||||
\(156\) | −2.07295 | + | 3.59045i | −0.165969 | + | 0.287466i | ||||
\(157\) | −3.50000 | − | 6.06218i | −0.279330 | − | 0.483814i | 0.691888 | − | 0.722005i | \(-0.256779\pi\) |
−0.971219 | + | 0.238190i | \(0.923446\pi\) | |||||||
\(158\) | 2.04508 | + | 3.54219i | 0.162698 | + | 0.281802i | ||||
\(159\) | −1.64590 | + | 2.85078i | −0.130528 | + | 0.226081i | ||||
\(160\) | 9.27051 | 0.732898 | ||||||||
\(161\) | −9.40983 | + | 3.25966i | −0.741598 | + | 0.256897i | ||||
\(162\) | 4.20163 | 0.330111 | ||||||||
\(163\) | −5.20820 | + | 9.02087i | −0.407938 | + | 0.706569i | −0.994659 | − | 0.103220i | \(-0.967085\pi\) |
0.586721 | + | 0.809789i | \(0.300419\pi\) | |||||||
\(164\) | 4.14590 | + | 7.18091i | 0.323740 | + | 0.560735i | ||||
\(165\) | −7.50000 | − | 12.9904i | −0.583874 | − | 1.01130i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 13.5279 | 1.04682 | 0.523409 | − | 0.852082i | \(-0.324660\pi\) | ||||
0.523409 | + | 0.852082i | \(0.324660\pi\) | |||||||
\(168\) | −1.64590 | + | 8.55234i | −0.126984 | + | 0.659827i | ||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 3.19098 | − | 5.52694i | 0.244737 | − | 0.423897i | ||||
\(171\) | −3.00000 | − | 5.19615i | −0.229416 | − | 0.397360i | ||||
\(172\) | −7.41641 | − | 12.8456i | −0.565496 | − | 0.979467i | ||||
\(173\) | −5.20820 | + | 9.02087i | −0.395972 | + | 0.685844i | −0.993225 | − | 0.116209i | \(-0.962926\pi\) |
0.597252 | + | 0.802053i | \(0.296259\pi\) | |||||||
\(174\) | 3.81966 | 0.289568 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −9.43769 | −0.711393 | ||||||||
\(177\) | −8.35410 | + | 14.4697i | −0.627933 | + | 1.08761i | ||||
\(178\) | −0.427051 | − | 0.739674i | −0.0320088 | − | 0.0554409i | ||||
\(179\) | −10.0623 | − | 17.4284i | −0.752092 | − | 1.30266i | −0.946807 | − | 0.321802i | \(-0.895712\pi\) |
0.194715 | − | 0.980860i | \(-0.437622\pi\) | |||||||
\(180\) | −4.14590 | + | 7.18091i | −0.309017 | + | 0.535233i | ||||
\(181\) | 1.41641 | 0.105281 | 0.0526404 | − | 0.998614i | \(-0.483236\pi\) | ||||
0.0526404 | + | 0.998614i | \(0.483236\pi\) | |||||||
\(182\) | 0.954915 | − | 0.330792i | 0.0707830 | − | 0.0245200i | ||||
\(183\) | 6.70820 | 0.495885 | ||||||||
\(184\) | 2.77051 | − | 4.79866i | 0.204245 | − | 0.353762i | ||||
\(185\) | −9.73607 | − | 16.8634i | −0.715810 | − | 1.23982i | ||||
\(186\) | 2.13525 | + | 3.69837i | 0.156564 | + | 0.271178i | ||||
\(187\) | −11.2082 | + | 19.4132i | −0.819625 | + | 1.41963i | ||||
\(188\) | −2.72949 | −0.199069 | ||||||||
\(189\) | 4.47214 | + | 3.87298i | 0.325300 | + | 0.281718i | ||||
\(190\) | 2.56231 | 0.185889 | ||||||||
\(191\) | 5.59017 | − | 9.68246i | 0.404491 | − | 0.700598i | −0.589772 | − | 0.807570i | \(-0.700782\pi\) |
0.994262 | + | 0.106972i | \(0.0341155\pi\) | |||||||
\(192\) | 5.26393 | + | 9.11740i | 0.379892 | + | 0.657992i | ||||
\(193\) | 6.35410 | + | 11.0056i | 0.457378 | + | 0.792202i | 0.998821 | − | 0.0485349i | \(-0.0154552\pi\) |
−0.541443 | + | 0.840737i | \(0.682122\pi\) | |||||||
\(194\) | −3.32624 | + | 5.76121i | −0.238810 | + | 0.413631i | ||||
\(195\) | 5.00000 | 0.358057 | ||||||||
\(196\) | −10.1976 | + | 8.02850i | −0.728397 | + | 0.573464i | ||||
\(197\) | −26.9443 | −1.91970 | −0.959850 | − | 0.280514i | \(-0.909495\pi\) | ||||
−0.959850 | + | 0.280514i | \(0.909495\pi\) | |||||||
\(198\) | −1.14590 | + | 1.98475i | −0.0814354 | + | 0.141050i | ||||
\(199\) | 3.64590 | + | 6.31488i | 0.258451 | + | 0.447650i | 0.965827 | − | 0.259187i | \(-0.0834547\pi\) |
−0.707376 | + | 0.706837i | \(0.750121\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 3.35410 | − | 5.80948i | 0.236580 | − | 0.409769i | ||||
\(202\) | 3.43769 | 0.241875 | ||||||||
\(203\) | 8.94427 | + | 7.74597i | 0.627765 | + | 0.543660i | ||||
\(204\) | 30.9787 | 2.16894 | ||||||||
\(205\) | 5.00000 | − | 8.66025i | 0.349215 | − | 0.604858i | ||||
\(206\) | 2.04508 | + | 3.54219i | 0.142488 | + | 0.246796i | ||||
\(207\) | 3.76393 | + | 6.51932i | 0.261611 | + | 0.453124i | ||||
\(208\) | 1.57295 | − | 2.72443i | 0.109064 | − | 0.188905i | ||||
\(209\) | −9.00000 | −0.622543 | ||||||||
\(210\) | 4.77458 | − | 1.65396i | 0.329477 | − | 0.114134i | ||||
\(211\) | 4.00000 | 0.275371 | 0.137686 | − | 0.990476i | \(-0.456034\pi\) | ||||
0.137686 | + | 0.990476i | \(0.456034\pi\) | |||||||
\(212\) | 1.36475 | − | 2.36381i | 0.0937311 | − | 0.162347i | ||||
\(213\) | −10.0000 | − | 17.3205i | −0.685189 | − | 1.18678i | ||||
\(214\) | −2.71885 | − | 4.70918i | −0.185857 | − | 0.321913i | ||||
\(215\) | −8.94427 | + | 15.4919i | −0.609994 | + | 1.05654i | ||||
\(216\) | −3.29180 | −0.223978 | ||||||||
\(217\) | −2.50000 | + | 12.9904i | −0.169711 | + | 0.881845i | ||||
\(218\) | −4.09017 | −0.277021 | ||||||||
\(219\) | −11.9721 | + | 20.7363i | −0.809002 | + | 1.40123i | ||||
\(220\) | 6.21885 | + | 10.7714i | 0.419275 | + | 0.726205i | ||||
\(221\) | −3.73607 | − | 6.47106i | −0.251315 | − | 0.435291i | ||||
\(222\) | −3.71885 | + | 6.44123i | −0.249593 | + | 0.432307i | ||||
\(223\) | −4.00000 | −0.267860 | −0.133930 | − | 0.990991i | \(-0.542760\pi\) | ||||
−0.133930 | + | 0.990991i | \(0.542760\pi\) | |||||||
\(224\) | 2.07295 | − | 10.7714i | 0.138505 | − | 0.719692i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.85410 | + | 4.94345i | −0.189852 | + | 0.328833i | ||||
\(227\) | 5.97214 | + | 10.3440i | 0.396385 | + | 0.686558i | 0.993277 | − | 0.115763i | \(-0.0369314\pi\) |
−0.596892 | + | 0.802321i | \(0.703598\pi\) | |||||||
\(228\) | 6.21885 | + | 10.7714i | 0.411853 | + | 0.713351i | ||||
\(229\) | 8.06231 | − | 13.9643i | 0.532772 | − | 0.922788i | −0.466495 | − | 0.884524i | \(-0.654484\pi\) |
0.999268 | − | 0.0382649i | \(-0.0121831\pi\) | |||||||
\(230\) | −3.21478 | −0.211976 | ||||||||
\(231\) | −16.7705 | + | 5.80948i | −1.10342 | + | 0.382235i | ||||
\(232\) | −6.58359 | −0.432234 | ||||||||
\(233\) | 2.97214 | − | 5.14789i | 0.194711 | − | 0.337250i | −0.752095 | − | 0.659055i | \(-0.770956\pi\) |
0.946806 | + | 0.321806i | \(0.104290\pi\) | |||||||
\(234\) | −0.381966 | − | 0.661585i | −0.0249699 | − | 0.0432491i | ||||
\(235\) | 1.64590 | + | 2.85078i | 0.107367 | + | 0.185964i | ||||
\(236\) | 6.92705 | − | 11.9980i | 0.450913 | − | 0.781004i | ||||
\(237\) | 23.9443 | 1.55535 | ||||||||
\(238\) | −5.70820 | − | 4.94345i | −0.370008 | − | 0.320436i | ||||
\(239\) | −7.41641 | −0.479728 | −0.239864 | − | 0.970807i | \(-0.577103\pi\) | ||||
−0.239864 | + | 0.970807i | \(0.577103\pi\) | |||||||
\(240\) | 7.86475 | − | 13.6221i | 0.507667 | − | 0.879305i | ||||
\(241\) | 4.35410 | + | 7.54153i | 0.280472 | + | 0.485792i | 0.971501 | − | 0.237035i | \(-0.0761756\pi\) |
−0.691029 | + | 0.722827i | \(0.742842\pi\) | |||||||
\(242\) | −0.381966 | − | 0.661585i | −0.0245537 | − | 0.0425283i | ||||
\(243\) | 8.94427 | − | 15.4919i | 0.573775 | − | 0.993808i | ||||
\(244\) | −5.56231 | −0.356090 | ||||||||
\(245\) | 14.5344 | + | 5.80948i | 0.928571 | + | 0.371154i | ||||
\(246\) | −3.81966 | −0.243533 | ||||||||
\(247\) | 1.50000 | − | 2.59808i | 0.0954427 | − | 0.165312i | ||||
\(248\) | −3.68034 | − | 6.37454i | −0.233702 | − | 0.404783i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.13525 | − | 3.69837i | 0.135045 | − | 0.233905i | ||||
\(251\) | 10.4721 | 0.660995 | 0.330498 | − | 0.943807i | \(-0.392783\pi\) | ||||
0.330498 | + | 0.943807i | \(0.392783\pi\) | |||||||
\(252\) | 7.41641 | + | 6.42280i | 0.467190 | + | 0.404598i | ||||
\(253\) | 11.2918 | 0.709909 | ||||||||
\(254\) | 2.94427 | − | 5.09963i | 0.184740 | − | 0.319979i | ||||
\(255\) | −18.6803 | − | 32.3553i | −1.16981 | − | 2.02617i | ||||
\(256\) | −2.78115 | − | 4.81710i | −0.173822 | − | 0.301069i | ||||
\(257\) | 8.97214 | − | 15.5402i | 0.559666 | − | 0.969371i | −0.437858 | − | 0.899044i | \(-0.644263\pi\) |
0.997524 | − | 0.0703264i | \(-0.0224041\pi\) | |||||||
\(258\) | 6.83282 | 0.425393 | ||||||||
\(259\) | −21.7705 | + | 7.54153i | −1.35275 | + | 0.468608i | ||||
\(260\) | −4.14590 | −0.257118 | ||||||||
\(261\) | 4.47214 | − | 7.74597i | 0.276818 | − | 0.479463i | ||||
\(262\) | −0.718847 | − | 1.24508i | −0.0444105 | − | 0.0769213i | ||||
\(263\) | 7.06231 | + | 12.2323i | 0.435480 | + | 0.754274i | 0.997335 | − | 0.0729620i | \(-0.0232452\pi\) |
−0.561854 | + | 0.827236i | \(0.689912\pi\) | |||||||
\(264\) | 4.93769 | − | 8.55234i | 0.303894 | − | 0.526360i | ||||
\(265\) | −3.29180 | −0.202213 | ||||||||
\(266\) | 0.572949 | − | 2.97713i | 0.0351298 | − | 0.182540i | ||||
\(267\) | −5.00000 | −0.305995 | ||||||||
\(268\) | −2.78115 | + | 4.81710i | −0.169886 | + | 0.294251i | ||||
\(269\) | −2.26393 | − | 3.92125i | −0.138034 | − | 0.239083i | 0.788718 | − | 0.614755i | \(-0.210745\pi\) |
−0.926753 | + | 0.375672i | \(0.877412\pi\) | |||||||
\(270\) | 0.954915 | + | 1.65396i | 0.0581143 | + | 0.100657i | ||||
\(271\) | −3.20820 | + | 5.55677i | −0.194885 | + | 0.337550i | −0.946863 | − | 0.321638i | \(-0.895767\pi\) |
0.751978 | + | 0.659188i | \(0.229100\pi\) | |||||||
\(272\) | −23.5066 | −1.42530 | ||||||||
\(273\) | 1.11803 | − | 5.80948i | 0.0676665 | − | 0.351605i | ||||
\(274\) | 1.43769 | 0.0868543 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −7.80244 | − | 13.5142i | −0.469652 | − | 0.813461i | ||||
\(277\) | −13.2082 | − | 22.8773i | −0.793604 | − | 1.37456i | −0.923722 | − | 0.383064i | \(-0.874869\pi\) |
0.130118 | − | 0.991499i | \(-0.458464\pi\) | |||||||
\(278\) | 0.652476 | − | 1.13012i | 0.0391329 | − | 0.0677802i | ||||
\(279\) | 10.0000 | 0.598684 | ||||||||
\(280\) | −8.22949 | + | 2.85078i | −0.491806 | + | 0.170367i | ||||
\(281\) | 9.05573 | 0.540219 | 0.270110 | − | 0.962830i | \(-0.412940\pi\) | ||||
0.270110 | + | 0.962830i | \(0.412940\pi\) | |||||||
\(282\) | 0.628677 | − | 1.08890i | 0.0374372 | − | 0.0648431i | ||||
\(283\) | 7.06231 | + | 12.2323i | 0.419811 | + | 0.727133i | 0.995920 | − | 0.0902393i | \(-0.0287632\pi\) |
−0.576110 | + | 0.817372i | \(0.695430\pi\) | |||||||
\(284\) | 8.29180 | + | 14.3618i | 0.492028 | + | 0.852217i | ||||
\(285\) | 7.50000 | − | 12.9904i | 0.444262 | − | 0.769484i | ||||
\(286\) | −1.14590 | −0.0677584 | ||||||||
\(287\) | −8.94427 | − | 7.74597i | −0.527964 | − | 0.457230i | ||||
\(288\) | −8.29180 | −0.488599 | ||||||||
\(289\) | −19.4164 | + | 33.6302i | −1.14214 | + | 1.97825i | ||||
\(290\) | 1.90983 | + | 3.30792i | 0.112149 | + | 0.194248i | ||||
\(291\) | 19.4721 | + | 33.7267i | 1.14148 | + | 1.97710i | ||||
\(292\) | 9.92705 | − | 17.1942i | 0.580937 | − | 1.00621i | ||||
\(293\) | 2.94427 | 0.172006 | 0.0860031 | − | 0.996295i | \(-0.472591\pi\) | ||||
0.0860031 | + | 0.996295i | \(0.472591\pi\) | |||||||
\(294\) | −0.854102 | − | 5.91739i | −0.0498122 | − | 0.345109i | ||||
\(295\) | −16.7082 | −0.972789 | ||||||||
\(296\) | 6.40983 | − | 11.1022i | 0.372564 | − | 0.645299i | ||||
\(297\) | −3.35410 | − | 5.80948i | −0.194625 | − | 0.337100i | ||||
\(298\) | −2.42705 | − | 4.20378i | −0.140595 | − | 0.243518i | ||||
\(299\) | −1.88197 | + | 3.25966i | −0.108837 | + | 0.188511i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 16.0000 | + | 13.8564i | 0.922225 | + | 0.798670i | ||||
\(302\) | 2.45085 | 0.141031 | ||||||||
\(303\) | 10.0623 | − | 17.4284i | 0.578064 | − | 1.00124i | ||||
\(304\) | −4.71885 | − | 8.17328i | −0.270644 | − | 0.468770i | ||||
\(305\) | 3.35410 | + | 5.80948i | 0.192055 | + | 0.332650i | ||||
\(306\) | −2.85410 | + | 4.94345i | −0.163158 | + | 0.282598i | ||||
\(307\) | −7.41641 | −0.423277 | −0.211638 | − | 0.977348i | \(-0.567880\pi\) | ||||
−0.211638 | + | 0.977348i | \(0.567880\pi\) | |||||||
\(308\) | 13.9058 | − | 4.81710i | 0.792354 | − | 0.274480i | ||||
\(309\) | 23.9443 | 1.36214 | ||||||||
\(310\) | −2.13525 | + | 3.69837i | −0.121274 | + | 0.210053i | ||||
\(311\) | 16.1180 | + | 27.9173i | 0.913970 | + | 1.58304i | 0.808403 | + | 0.588630i | \(0.200333\pi\) |
0.105567 | + | 0.994412i | \(0.466334\pi\) | |||||||
\(312\) | 1.64590 | + | 2.85078i | 0.0931806 | + | 0.161394i | ||||
\(313\) | 16.2082 | − | 28.0734i | 0.916142 | − | 1.58680i | 0.110921 | − | 0.993829i | \(-0.464620\pi\) |
0.805221 | − | 0.592975i | \(-0.202047\pi\) | |||||||
\(314\) | −2.67376 | −0.150889 | ||||||||
\(315\) | 2.23607 | − | 11.6190i | 0.125988 | − | 0.654654i | ||||
\(316\) | −19.8541 | −1.11688 | ||||||||
\(317\) | 1.88197 | − | 3.25966i | 0.105702 | − | 0.183081i | −0.808323 | − | 0.588739i | \(-0.799624\pi\) |
0.914025 | + | 0.405659i | \(0.132958\pi\) | |||||||
\(318\) | 0.628677 | + | 1.08890i | 0.0352545 | + | 0.0610625i | ||||
\(319\) | −6.70820 | − | 11.6190i | −0.375587 | − | 0.650536i | ||||
\(320\) | −5.26393 | + | 9.11740i | −0.294263 | + | 0.509678i | ||||
\(321\) | −31.8328 | −1.77673 | ||||||||
\(322\) | −0.718847 | + | 3.73524i | −0.0400598 | + | 0.208157i | ||||
\(323\) | −22.4164 | −1.24728 | ||||||||
\(324\) | −10.1976 | + | 17.6627i | −0.566531 | + | 0.981261i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 1.98936 | + | 3.44567i | 0.110180 | + | 0.190838i | ||||
\(327\) | −11.9721 | + | 20.7363i | −0.662061 | + | 1.14672i | ||||
\(328\) | 6.58359 | 0.363518 | ||||||||
\(329\) | 3.68034 | − | 1.27491i | 0.202904 | − | 0.0702879i | ||||
\(330\) | −5.72949 | −0.315398 | ||||||||
\(331\) | 14.2082 | − | 24.6093i | 0.780954 | − | 1.35265i | −0.150433 | − | 0.988620i | \(-0.548067\pi\) |
0.931387 | − | 0.364031i | \(-0.118600\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 8.70820 | + | 15.0831i | 0.477207 | + | 0.826546i | ||||
\(334\) | 2.58359 | − | 4.47491i | 0.141368 | − | 0.244856i | ||||
\(335\) | 6.70820 | 0.366508 | ||||||||
\(336\) | −14.0689 | − | 12.1840i | −0.767521 | − | 0.664692i | ||||
\(337\) | 18.0000 | 0.980522 | 0.490261 | − | 0.871576i | \(-0.336901\pi\) | ||||
0.490261 | + | 0.871576i | \(0.336901\pi\) | |||||||
\(338\) | 0.190983 | − | 0.330792i | 0.0103881 | − | 0.0179927i | ||||
\(339\) | 16.7082 | + | 28.9395i | 0.907465 | + | 1.57178i | ||||
\(340\) | 15.4894 | + | 26.8284i | 0.840028 | + | 1.45497i | ||||
\(341\) | 7.50000 | − | 12.9904i | 0.406148 | − | 0.703469i | ||||
\(342\) | −2.29180 | −0.123926 | ||||||||
\(343\) | 10.0000 | − | 15.5885i | 0.539949 | − | 0.841698i | ||||
\(344\) | −11.7771 | −0.634978 | ||||||||
\(345\) | −9.40983 | + | 16.2983i | −0.506608 | + | 0.877471i | ||||
\(346\) | 1.98936 | + | 3.44567i | 0.106948 | + | 0.185240i | ||||
\(347\) | 17.5344 | + | 30.3705i | 0.941298 | + | 1.63038i | 0.762999 | + | 0.646400i | \(0.223726\pi\) |
0.178299 | + | 0.983976i | \(0.442940\pi\) | |||||||
\(348\) | −9.27051 | + | 16.0570i | −0.496951 | + | 0.860745i | ||||
\(349\) | −2.58359 | −0.138297 | −0.0691483 | − | 0.997606i | \(-0.522028\pi\) | ||||
−0.0691483 | + | 0.997606i | \(0.522028\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.23607 | 0.119352 | ||||||||
\(352\) | −6.21885 | + | 10.7714i | −0.331466 | + | 0.574115i | ||||
\(353\) | −15.3541 | − | 26.5941i | −0.817216 | − | 1.41546i | −0.907725 | − | 0.419565i | \(-0.862183\pi\) |
0.0905091 | − | 0.995896i | \(-0.471151\pi\) | |||||||
\(354\) | 3.19098 | + | 5.52694i | 0.169599 | + | 0.293754i | ||||
\(355\) | 10.0000 | − | 17.3205i | 0.530745 | − | 0.919277i | ||||
\(356\) | 4.14590 | 0.219732 | ||||||||
\(357\) | −41.7705 | + | 14.4697i | −2.21073 | + | 0.765819i | ||||
\(358\) | −7.68692 | −0.406266 | ||||||||
\(359\) | 2.97214 | − | 5.14789i | 0.156863 | − | 0.271695i | −0.776873 | − | 0.629658i | \(-0.783195\pi\) |
0.933736 | + | 0.357963i | \(0.116528\pi\) | |||||||
\(360\) | 3.29180 | + | 5.70156i | 0.173493 | + | 0.300498i | ||||
\(361\) | 5.00000 | + | 8.66025i | 0.263158 | + | 0.455803i | ||||
\(362\) | 0.270510 | − | 0.468537i | 0.0142177 | − | 0.0246257i | ||||
\(363\) | −4.47214 | −0.234726 | ||||||||
\(364\) | −0.927051 | + | 4.81710i | −0.0485907 | + | 0.252485i | ||||
\(365\) | −23.9443 | −1.25330 | ||||||||
\(366\) | 1.28115 | − | 2.21902i | 0.0669669 | − | 0.115990i | ||||
\(367\) | −0.354102 | − | 0.613323i | −0.0184840 | − | 0.0320152i | 0.856635 | − | 0.515922i | \(-0.172551\pi\) |
−0.875119 | + | 0.483907i | \(0.839217\pi\) | |||||||
\(368\) | 5.92047 | + | 10.2546i | 0.308626 | + | 0.534556i | ||||
\(369\) | −4.47214 | + | 7.74597i | −0.232810 | + | 0.403239i | ||||
\(370\) | −7.43769 | −0.386667 | ||||||||
\(371\) | −0.736068 | + | 3.82472i | −0.0382147 | + | 0.198570i | ||||
\(372\) | −20.7295 | −1.07477 | ||||||||
\(373\) | 14.2082 | − | 24.6093i | 0.735673 | − | 1.27422i | −0.218755 | − | 0.975780i | \(-0.570199\pi\) |
0.954427 | − | 0.298443i | \(-0.0964673\pi\) | |||||||
\(374\) | 4.28115 | + | 7.41517i | 0.221373 | + | 0.383430i | ||||
\(375\) | −12.5000 | − | 21.6506i | −0.645497 | − | 1.11803i | ||||
\(376\) | −1.08359 | + | 1.87684i | −0.0558820 | + | 0.0967905i | ||||
\(377\) | 4.47214 | 0.230327 | ||||||||
\(378\) | 2.13525 | − | 0.739674i | 0.109826 | − | 0.0380447i | ||||
\(379\) | 11.4164 | 0.586421 | 0.293211 | − | 0.956048i | \(-0.405276\pi\) | ||||
0.293211 | + | 0.956048i | \(0.405276\pi\) | |||||||
\(380\) | −6.21885 | + | 10.7714i | −0.319020 | + | 0.552559i | ||||
\(381\) | −17.2361 | − | 29.8537i | −0.883031 | − | 1.52945i | ||||
\(382\) | −2.13525 | − | 3.69837i | −0.109249 | − | 0.189225i | ||||
\(383\) | −7.50000 | + | 12.9904i | −0.383232 | + | 0.663777i | −0.991522 | − | 0.129937i | \(-0.958522\pi\) |
0.608290 | + | 0.793715i | \(0.291856\pi\) | |||||||
\(384\) | 22.5623 | 1.15138 | ||||||||
\(385\) | −13.4164 | − | 11.6190i | −0.683763 | − | 0.592157i | ||||
\(386\) | 4.85410 | 0.247067 | ||||||||
\(387\) | 8.00000 | − | 13.8564i | 0.406663 | − | 0.704361i | ||||
\(388\) | −16.1459 | − | 27.9655i | −0.819684 | − | 1.41973i | ||||
\(389\) | 3.73607 | + | 6.47106i | 0.189426 | + | 0.328096i | 0.945059 | − | 0.326900i | \(-0.106004\pi\) |
−0.755633 | + | 0.654995i | \(0.772671\pi\) | |||||||
\(390\) | 0.954915 | − | 1.65396i | 0.0483540 | − | 0.0837516i | ||||
\(391\) | 28.1246 | 1.42232 | ||||||||
\(392\) | 1.47214 | + | 10.1993i | 0.0743541 | + | 0.515140i | ||||
\(393\) | −8.41641 | −0.424552 | ||||||||
\(394\) | −5.14590 | + | 8.91296i | −0.259247 | + | 0.449028i | ||||
\(395\) | 11.9721 | + | 20.7363i | 0.602384 | + | 1.04336i | ||||
\(396\) | −5.56231 | − | 9.63420i | −0.279516 | − | 0.484137i | ||||
\(397\) | −7.06231 | + | 12.2323i | −0.354447 | + | 0.613920i | −0.987023 | − | 0.160578i | \(-0.948664\pi\) |
0.632576 | + | 0.774498i | \(0.281998\pi\) | |||||||
\(398\) | 2.78522 | 0.139610 | ||||||||
\(399\) | −13.4164 | − | 11.6190i | −0.671660 | − | 0.581675i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −4.88197 | + | 8.45581i | −0.243794 | + | 0.422263i | −0.961792 | − | 0.273782i | \(-0.911725\pi\) |
0.717998 | + | 0.696045i | \(0.245059\pi\) | |||||||
\(402\) | −1.28115 | − | 2.21902i | −0.0638981 | − | 0.110675i | ||||
\(403\) | 2.50000 | + | 4.33013i | 0.124534 | + | 0.215699i | ||||
\(404\) | −8.34346 | + | 14.4513i | −0.415103 | + | 0.718979i | ||||
\(405\) | 24.5967 | 1.22222 | ||||||||
\(406\) | 4.27051 | − | 1.47935i | 0.211942 | − | 0.0734188i | ||||
\(407\) | 26.1246 | 1.29495 | ||||||||
\(408\) | 12.2984 | − | 21.3014i | 0.608860 | − | 1.05458i | ||||
\(409\) | 2.35410 | + | 4.07742i | 0.116403 | + | 0.201616i | 0.918340 | − | 0.395793i | \(-0.129530\pi\) |
−0.801937 | + | 0.597409i | \(0.796197\pi\) | |||||||
\(410\) | −1.90983 | − | 3.30792i | −0.0943198 | − | 0.163367i | ||||
\(411\) | 4.20820 | − | 7.28882i | 0.207575 | − | 0.359531i | ||||
\(412\) | −19.8541 | −0.978141 | ||||||||
\(413\) | −3.73607 | + | 19.4132i | −0.183840 | + | 0.955260i | ||||
\(414\) | 2.87539 | 0.141318 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −2.07295 | − | 3.59045i | −0.101635 | − | 0.176036i | ||||
\(417\) | −3.81966 | − | 6.61585i | −0.187050 | − | 0.323979i | ||||
\(418\) | −1.71885 | + | 2.97713i | −0.0840716 | + | 0.145616i | ||||
\(419\) | 15.0557 | 0.735520 | 0.367760 | − | 0.929921i | \(-0.380125\pi\) | ||||
0.367760 | + | 0.929921i | \(0.380125\pi\) | |||||||
\(420\) | −4.63525 | + | 24.0855i | −0.226177 | + | 1.17525i | ||||
\(421\) | −13.4164 | −0.653876 | −0.326938 | − | 0.945046i | \(-0.606017\pi\) | ||||
−0.326938 | + | 0.945046i | \(0.606017\pi\) | |||||||
\(422\) | 0.763932 | − | 1.32317i | 0.0371876 | − | 0.0644109i | ||||
\(423\) | −1.47214 | − | 2.54981i | −0.0715777 | − | 0.123976i | ||||
\(424\) | −1.08359 | − | 1.87684i | −0.0526239 | − | 0.0911472i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −7.63932 | −0.370126 | ||||||||
\(427\) | 7.50000 | − | 2.59808i | 0.362950 | − | 0.125730i | ||||
\(428\) | 26.3951 | 1.27586 | ||||||||
\(429\) | −3.35410 | + | 5.80948i | −0.161938 | + | 0.280484i | ||||
\(430\) | 3.41641 | + | 5.91739i | 0.164754 | + | 0.285362i | ||||
\(431\) | −6.68034 | − | 11.5707i | −0.321781 | − | 0.557340i | 0.659075 | − | 0.752077i | \(-0.270948\pi\) |
−0.980856 | + | 0.194737i | \(0.937615\pi\) | |||||||
\(432\) | 3.51722 | − | 6.09201i | 0.169222 | − | 0.293102i | ||||
\(433\) | 2.58359 | 0.124160 | 0.0620798 | − | 0.998071i | \(-0.480227\pi\) | ||||
0.0620798 | + | 0.998071i | \(0.480227\pi\) | |||||||
\(434\) | 3.81966 | + | 3.30792i | 0.183350 | + | 0.158785i | ||||
\(435\) | 22.3607 | 1.07211 | ||||||||
\(436\) | 9.92705 | − | 17.1942i | 0.475420 | − | 0.823451i | ||||
\(437\) | 5.64590 | + | 9.77898i | 0.270080 | + | 0.467792i | ||||
\(438\) | 4.57295 | + | 7.92058i | 0.218504 | + | 0.378460i | ||||
\(439\) | 8.06231 | − | 13.9643i | 0.384793 | − | 0.666481i | −0.606948 | − | 0.794742i | \(-0.707606\pi\) |
0.991740 | + | 0.128261i | \(0.0409395\pi\) | |||||||
\(440\) | 9.87539 | 0.470791 | ||||||||
\(441\) | −13.0000 | − | 5.19615i | −0.619048 | − | 0.247436i | ||||
\(442\) | −2.85410 | −0.135756 | ||||||||
\(443\) | 1.11803 | − | 1.93649i | 0.0531194 | − | 0.0920055i | −0.838243 | − | 0.545297i | \(-0.816417\pi\) |
0.891362 | + | 0.453291i | \(0.149750\pi\) | |||||||
\(444\) | −18.0517 | − | 31.2664i | −0.856694 | − | 1.48384i | ||||
\(445\) | −2.50000 | − | 4.33013i | −0.118511 | − | 0.205268i | ||||
\(446\) | −0.763932 | + | 1.32317i | −0.0361732 | + | 0.0626539i | ||||
\(447\) | −28.4164 | −1.34405 | ||||||||
\(448\) | 9.41641 | + | 8.15485i | 0.444883 | + | 0.385280i | ||||
\(449\) | 10.3607 | 0.488951 | 0.244475 | − | 0.969656i | \(-0.421384\pi\) | ||||
0.244475 | + | 0.969656i | \(0.421384\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.70820 | + | 11.6190i | 0.315877 | + | 0.547115i | ||||
\(452\) | −13.8541 | − | 23.9960i | −0.651642 | − | 1.12868i | ||||
\(453\) | 7.17376 | − | 12.4253i | 0.337053 | − | 0.583792i | ||||
\(454\) | 4.56231 | 0.214120 | ||||||||
\(455\) | 5.59017 | − | 1.93649i | 0.262071 | − | 0.0907841i | ||||
\(456\) | 9.87539 | 0.462457 | ||||||||
\(457\) | −17.0623 | + | 29.5528i | −0.798141 | + | 1.38242i | 0.122684 | + | 0.992446i | \(0.460850\pi\) |
−0.920825 | + | 0.389975i | \(0.872484\pi\) | |||||||
\(458\) | −3.07953 | − | 5.33390i | −0.143897 | − | 0.249237i | ||||
\(459\) | −8.35410 | − | 14.4697i | −0.389936 | − | 0.675389i | ||||
\(460\) | 7.80244 | − | 13.5142i | 0.363791 | − | 0.630104i | ||||
\(461\) | −10.3607 | −0.482545 | −0.241272 | − | 0.970457i | \(-0.577565\pi\) | ||||
−0.241272 | + | 0.970457i | \(0.577565\pi\) | |||||||
\(462\) | −1.28115 | + | 6.65707i | −0.0596046 | + | 0.309715i | ||||
\(463\) | −24.0000 | −1.11537 | −0.557687 | − | 0.830051i | \(-0.688311\pi\) | ||||
−0.557687 | + | 0.830051i | \(0.688311\pi\) | |||||||
\(464\) | 7.03444 | − | 12.1840i | 0.326566 | − | 0.565628i | ||||
\(465\) | 12.5000 | + | 21.6506i | 0.579674 | + | 1.00402i | ||||
\(466\) | −1.13525 | − | 1.96632i | −0.0525897 | − | 0.0910880i | ||||
\(467\) | 10.8262 | − | 18.7516i | 0.500979 | − | 0.867720i | −0.499021 | − | 0.866590i | \(-0.666307\pi\) |
0.999999 | − | 0.00113029i | \(-0.000359784\pi\) | |||||||
\(468\) | 3.70820 | 0.171412 | ||||||||
\(469\) | 1.50000 | − | 7.79423i | 0.0692636 | − | 0.359904i | ||||
\(470\) | 1.25735 | 0.0579974 | ||||||||
\(471\) | −7.82624 | + | 13.5554i | −0.360614 | + | 0.624602i | ||||
\(472\) | −5.50000 | − | 9.52628i | −0.253158 | − | 0.438483i | ||||
\(473\) | −12.0000 | − | 20.7846i | −0.551761 | − | 0.955677i | ||||
\(474\) | 4.57295 | − | 7.92058i | 0.210043 | − | 0.363804i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 34.6353 | − | 11.9980i | 1.58750 | − | 0.549928i | ||||
\(477\) | 2.94427 | 0.134809 | ||||||||
\(478\) | −1.41641 | + | 2.45329i | −0.0647850 | + | 0.112211i | ||||
\(479\) | 14.9164 | + | 25.8360i | 0.681548 | + | 1.18048i | 0.974508 | + | 0.224351i | \(0.0720263\pi\) |
−0.292960 | + | 0.956125i | \(0.594640\pi\) | |||||||
\(480\) | −10.3647 | − | 17.9523i | −0.473084 | − | 0.819405i | ||||
\(481\) | −4.35410 | + | 7.54153i | −0.198530 | + | 0.343864i | ||||
\(482\) | 3.32624 | 0.151506 | ||||||||
\(483\) | 16.8328 | + | 14.5776i | 0.765920 | + | 0.663306i | ||||
\(484\) | 3.70820 | 0.168555 | ||||||||
\(485\) | −19.4721 | + | 33.7267i | −0.884184 | + | 1.53145i | ||||
\(486\) | −3.41641 | − | 5.91739i | −0.154971 | − | 0.268418i | ||||
\(487\) | −15.9164 | − | 27.5680i | −0.721241 | − | 1.24923i | −0.960503 | − | 0.278271i | \(-0.910239\pi\) |
0.239261 | − | 0.970955i | \(-0.423095\pi\) | |||||||
\(488\) | −2.20820 | + | 3.82472i | −0.0999607 | + | 0.173137i | ||||
\(489\) | 23.2918 | 1.05329 | ||||||||
\(490\) | 4.69756 | − | 3.69837i | 0.212214 | − | 0.167075i | ||||
\(491\) | −34.4721 | −1.55571 | −0.777853 | − | 0.628446i | \(-0.783691\pi\) | ||||
−0.777853 | + | 0.628446i | \(0.783691\pi\) | |||||||
\(492\) | 9.27051 | − | 16.0570i | 0.417947 | − | 0.723905i | ||||
\(493\) | −16.7082 | − | 28.9395i | −0.752500 | − | 1.30337i | ||||
\(494\) | −0.572949 | − | 0.992377i | −0.0257782 | − | 0.0446491i | ||||
\(495\) | −6.70820 | + | 11.6190i | −0.301511 | + | 0.522233i | ||||
\(496\) | 15.7295 | 0.706275 | ||||||||
\(497\) | −17.8885 | − | 15.4919i | −0.802411 | − | 0.694908i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.208204 | − | 0.360620i | 0.00932049 | − | 0.0161436i | −0.861328 | − | 0.508050i | \(-0.830366\pi\) |
0.870648 | + | 0.491907i | \(0.163700\pi\) | |||||||
\(500\) | 10.3647 | + | 17.9523i | 0.463525 | + | 0.802850i | ||||
\(501\) | −15.1246 | − | 26.1966i | −0.675718 | − | 1.17038i | ||||
\(502\) | 2.00000 | − | 3.46410i | 0.0892644 | − | 0.154610i | ||||
\(503\) | 3.05573 | 0.136248 | 0.0681241 | − | 0.997677i | \(-0.478299\pi\) | ||||
0.0681241 | + | 0.997677i | \(0.478299\pi\) | |||||||
\(504\) | 7.36068 | − | 2.54981i | 0.327871 | − | 0.113578i | ||||
\(505\) | 20.1246 | 0.895533 | ||||||||
\(506\) | 2.15654 | − | 3.73524i | 0.0958699 | − | 0.166052i | ||||
\(507\) | −1.11803 | − | 1.93649i | −0.0496536 | − | 0.0860026i | ||||
\(508\) | 14.2918 | + | 24.7541i | 0.634096 | + | 1.09829i | ||||
\(509\) | 7.88197 | − | 13.6520i | 0.349362 | − | 0.605113i | −0.636774 | − | 0.771050i | \(-0.719732\pi\) |
0.986136 | + | 0.165938i | \(0.0530650\pi\) | |||||||
\(510\) | −14.2705 | −0.631909 | ||||||||
\(511\) | −5.35410 | + | 27.8207i | −0.236852 | + | 1.23072i | ||||
\(512\) | −22.3050 | −0.985749 | ||||||||
\(513\) | 3.35410 | − | 5.80948i | 0.148087 | − | 0.256495i | ||||
\(514\) | −3.42705 | − | 5.93583i | −0.151161 | − | 0.261818i | ||||
\(515\) | 11.9721 | + | 20.7363i | 0.527555 | + | 0.913753i | ||||
\(516\) | −16.5836 | + | 28.7236i | −0.730052 | + | 1.26449i | ||||
\(517\) | −4.41641 | −0.194233 | ||||||||
\(518\) | −1.66312 | + | 8.64182i | −0.0730733 | + | 0.379700i | ||||
\(519\) | 23.2918 | 1.02240 | ||||||||
\(520\) | −1.64590 | + | 2.85078i | −0.0721774 | + | 0.125015i | ||||
\(521\) | 0.0278640 | + | 0.0482619i | 0.00122075 | + | 0.00211439i | 0.866635 | − | 0.498942i | \(-0.166278\pi\) |
−0.865414 | + | 0.501057i | \(0.832945\pi\) | |||||||
\(522\) | −1.70820 | − | 2.95870i | −0.0747661 | − | 0.129499i | ||||
\(523\) | −9.64590 | + | 16.7072i | −0.421786 | + | 0.730554i | −0.996114 | − | 0.0880707i | \(-0.971930\pi\) |
0.574329 | + | 0.818625i | \(0.305263\pi\) | |||||||
\(524\) | 6.97871 | 0.304867 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.39512 | 0.235238 | ||||||||
\(527\) | 18.6803 | − | 32.3553i | 0.813728 | − | 1.40942i | ||||
\(528\) | 10.5517 | + | 18.2760i | 0.459202 | + | 0.795362i | ||||
\(529\) | 4.41641 | + | 7.64944i | 0.192018 | + | 0.332584i | ||||
\(530\) | −0.628677 | + | 1.08890i | −0.0273080 | + | 0.0472988i | ||||
\(531\) | 14.9443 | 0.648526 | ||||||||
\(532\) | 11.1246 | + | 9.63420i | 0.482313 | + | 0.417695i | ||||
\(533\) | −4.47214 | −0.193710 | ||||||||
\(534\) | −0.954915 | + | 1.65396i | −0.0413232 | + | 0.0715739i | ||||
\(535\) | −15.9164 | − | 27.5680i | −0.688126 | − | 1.19187i | ||||
\(536\) | 2.20820 | + | 3.82472i | 0.0953799 | + | 0.165203i | ||||
\(537\) | −22.5000 | + | 38.9711i | −0.970947 | + | 1.68173i | ||||
\(538\) | −1.72949 | −0.0745636 | ||||||||
\(539\) | −16.5000 | + | 12.9904i | −0.710705 | + | 0.559535i | ||||
\(540\) | −9.27051 | −0.398939 | ||||||||
\(541\) | −7.35410 | + | 12.7377i | −0.316178 | + | 0.547636i | −0.979687 | − | 0.200532i | \(-0.935733\pi\) |
0.663510 | + | 0.748168i | \(0.269066\pi\) | |||||||
\(542\) | 1.22542 | + | 2.12250i | 0.0526365 | + | 0.0911691i | ||||
\(543\) | −1.58359 | − | 2.74286i | −0.0679584 | − | 0.117707i | ||||
\(544\) | −15.4894 | + | 26.8284i | −0.664101 | + | 1.15026i | ||||
\(545\) | −23.9443 | −1.02566 | ||||||||
\(546\) | −1.70820 | − | 1.47935i | −0.0731044 | − | 0.0633102i | ||||
\(547\) | −31.4164 | −1.34327 | −0.671634 | − | 0.740883i | \(-0.734407\pi\) | ||||
−0.671634 | + | 0.740883i | \(0.734407\pi\) | |||||||
\(548\) | −3.48936 | + | 6.04374i | −0.149058 | + | 0.258176i | ||||
\(549\) | −3.00000 | − | 5.19615i | −0.128037 | − | 0.221766i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.70820 | − | 11.6190i | 0.285779 | − | 0.494984i | ||||
\(552\) | −12.3901 | −0.527358 | ||||||||
\(553\) | 26.7705 | − | 9.27358i | 1.13840 | − | 0.394353i | ||||
\(554\) | −10.0902 | −0.428690 | ||||||||
\(555\) | −21.7705 | + | 37.7076i | −0.924107 | + | 1.60060i | ||||
\(556\) | 3.16718 | + | 5.48572i | 0.134319 | + | 0.232647i | ||||
\(557\) | 2.64590 | + | 4.58283i | 0.112110 | + | 0.194181i | 0.916621 | − | 0.399758i | \(-0.130906\pi\) |
−0.804511 | + | 0.593938i | \(0.797572\pi\) | |||||||
\(558\) | 1.90983 | − | 3.30792i | 0.0808496 | − | 0.140036i | ||||
\(559\) | 8.00000 | 0.338364 | ||||||||
\(560\) | 3.51722 | − | 18.2760i | 0.148630 | − | 0.772303i | ||||
\(561\) | 50.1246 | 2.11626 | ||||||||
\(562\) | 1.72949 | − | 2.99556i | 0.0729541 | − | 0.126360i | ||||
\(563\) | 18.2984 | + | 31.6937i | 0.771185 | + | 1.33573i | 0.936914 | + | 0.349560i | \(0.113669\pi\) |
−0.165730 | + | 0.986171i | \(0.552998\pi\) | |||||||
\(564\) | 3.05166 | + | 5.28563i | 0.128498 | + | 0.222565i | ||||
\(565\) | −16.7082 | + | 28.9395i | −0.702919 | + | 1.21749i | ||||
\(566\) | 5.39512 | 0.226774 | ||||||||
\(567\) | 5.50000 | − | 28.5788i | 0.230978 | − | 1.20020i | ||||
\(568\) | 13.1672 | 0.552483 | ||||||||
\(569\) | −8.26393 | + | 14.3136i | −0.346442 | + | 0.600055i | −0.985615 | − | 0.169008i | \(-0.945944\pi\) |
0.639173 | + | 0.769063i | \(0.279277\pi\) | |||||||
\(570\) | −2.86475 | − | 4.96188i | −0.119991 | − | 0.207830i | ||||
\(571\) | −2.06231 | − | 3.57202i | −0.0863048 | − | 0.149484i | 0.819642 | − | 0.572877i | \(-0.194173\pi\) |
−0.905946 | + | 0.423392i | \(0.860839\pi\) | |||||||
\(572\) | 2.78115 | − | 4.81710i | 0.116286 | − | 0.201413i | ||||
\(573\) | −25.0000 | −1.04439 | ||||||||
\(574\) | −4.27051 | + | 1.47935i | −0.178248 | + | 0.0617468i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 4.70820 | − | 8.15485i | 0.196175 | − | 0.339785i | ||||
\(577\) | 16.3541 | + | 28.3261i | 0.680830 | + | 1.17923i | 0.974728 | + | 0.223396i | \(0.0717142\pi\) |
−0.293898 | + | 0.955837i | \(0.594953\pi\) | |||||||
\(578\) | 7.41641 | + | 12.8456i | 0.308482 | + | 0.534306i | ||||
\(579\) | 14.2082 | − | 24.6093i | 0.590473 | − | 1.02273i | ||||
\(580\) | −18.5410 | −0.769874 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 14.8754 | 0.616605 | ||||||||
\(583\) | 2.20820 | − | 3.82472i | 0.0914545 | − | 0.158404i | ||||
\(584\) | −7.88197 | − | 13.6520i | −0.326158 | − | 0.564922i | ||||
\(585\) | −2.23607 | − | 3.87298i | −0.0924500 | − | 0.160128i | ||||
\(586\) | 0.562306 | − | 0.973942i | 0.0232286 | − | 0.0402332i | ||||
\(587\) | −41.8885 | −1.72893 | −0.864463 | − | 0.502697i | \(-0.832341\pi\) | ||||
−0.864463 | + | 0.502697i | \(0.832341\pi\) | |||||||
\(588\) | 26.9483 | + | 10.7714i | 1.11133 | + | 0.444203i | ||||
\(589\) | 15.0000 | 0.618064 | ||||||||
\(590\) | −3.19098 | + | 5.52694i | −0.131371 | + | 0.227541i | ||||
\(591\) | 30.1246 | + | 52.1774i | 1.23916 | + | 2.14629i | ||||
\(592\) | 13.6976 | + | 23.7249i | 0.562966 | + | 0.975086i | ||||
\(593\) | −16.1180 | + | 27.9173i | −0.661888 | + | 1.14642i | 0.318231 | + | 0.948013i | \(0.396911\pi\) |
−0.980119 | + | 0.198411i | \(0.936422\pi\) | |||||||
\(594\) | −2.56231 | −0.105133 | ||||||||
\(595\) | −33.4164 | − | 28.9395i | −1.36994 | − | 1.18640i | ||||
\(596\) | 23.5623 | 0.965150 | ||||||||
\(597\) | 8.15248 | − | 14.1205i | 0.333659 | − | 0.577914i | ||||
\(598\) | 0.718847 | + | 1.24508i | 0.0293958 | + | 0.0509151i | ||||
\(599\) | −20.5344 | − | 35.5667i | −0.839015 | − | 1.45322i | −0.890719 | − | 0.454553i | \(-0.849799\pi\) |
0.0517049 | − | 0.998662i | \(-0.483534\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −22.0000 | −0.897399 | −0.448699 | − | 0.893683i | \(-0.648113\pi\) | ||||
−0.448699 | + | 0.893683i | \(0.648113\pi\) | |||||||
\(602\) | 7.63932 | − | 2.64634i | 0.311355 | − | 0.107857i | ||||
\(603\) | −6.00000 | −0.244339 | ||||||||
\(604\) | −5.94834 | + | 10.3028i | −0.242034 | + | 0.419216i | ||||
\(605\) | −2.23607 | − | 3.87298i | −0.0909091 | − | 0.157459i | ||||
\(606\) | −3.84346 | − | 6.65707i | −0.156130 | − | 0.270425i | ||||
\(607\) | 8.06231 | − | 13.9643i | 0.327239 | − | 0.566794i | −0.654724 | − | 0.755868i | \(-0.727215\pi\) |
0.981963 | + | 0.189074i | \(0.0605485\pi\) | |||||||
\(608\) | −12.4377 | −0.504415 | ||||||||
\(609\) | 5.00000 | − | 25.9808i | 0.202610 | − | 1.05279i | ||||
\(610\) | 2.56231 | 0.103745 | ||||||||
\(611\) | 0.736068 | − | 1.27491i | 0.0297781 | − | 0.0515772i | ||||
\(612\) | −13.8541 | − | 23.9960i | −0.560019 | − | 0.969981i | ||||
\(613\) | −11.0623 | − | 19.1605i | −0.446802 | − | 0.773884i | 0.551373 | − | 0.834259i | \(-0.314104\pi\) |
−0.998176 | + | 0.0603742i | \(0.980771\pi\) | |||||||
\(614\) | −1.41641 | + | 2.45329i | −0.0571616 | + | 0.0990067i | ||||
\(615\) | −22.3607 | −0.901670 | ||||||||
\(616\) | 2.20820 | − | 11.4742i | 0.0889711 | − | 0.462307i | ||||
\(617\) | 4.47214 | 0.180041 | 0.0900207 | − | 0.995940i | \(-0.471307\pi\) | ||||
0.0900207 | + | 0.995940i | \(0.471307\pi\) | |||||||
\(618\) | 4.57295 | − | 7.92058i | 0.183951 | − | 0.318612i | ||||
\(619\) | −8.50000 | − | 14.7224i | −0.341644 | − | 0.591744i | 0.643094 | − | 0.765787i | \(-0.277650\pi\) |
−0.984738 | + | 0.174042i | \(0.944317\pi\) | |||||||
\(620\) | −10.3647 | − | 17.9523i | −0.416258 | − | 0.720980i | ||||
\(621\) | −4.20820 | + | 7.28882i | −0.168869 | + | 0.292490i | ||||
\(622\) | 12.3131 | 0.493710 | ||||||||
\(623\) | −5.59017 | + | 1.93649i | −0.223965 | + | 0.0775839i | ||||
\(624\) | −7.03444 | −0.281603 | ||||||||
\(625\) | 12.5000 | − | 21.6506i | 0.500000 | − | 0.866025i | ||||
\(626\) | −6.19098 | − | 10.7231i | −0.247441 | − | 0.428581i | ||||
\(627\) | 10.0623 | + | 17.4284i | 0.401850 | + | 0.696024i | ||||
\(628\) | 6.48936 | − | 11.2399i | 0.258954 | − | 0.448521i | ||||
\(629\) | 65.0689 | 2.59447 | ||||||||
\(630\) | −3.41641 | − | 2.95870i | −0.136113 | − | 0.117877i | ||||
\(631\) | −30.8328 | −1.22744 | −0.613718 | − | 0.789526i | \(-0.710327\pi\) | ||||
−0.613718 | + | 0.789526i | \(0.710327\pi\) | |||||||
\(632\) | −7.88197 | + | 13.6520i | −0.313528 | + | 0.543046i | ||||
\(633\) | −4.47214 | − | 7.74597i | −0.177751 | − | 0.307875i | ||||
\(634\) | −0.718847 | − | 1.24508i | −0.0285491 | − | 0.0494484i | ||||
\(635\) | 17.2361 | − | 29.8537i | 0.683992 | − | 1.18471i | ||||
\(636\) | −6.10333 | −0.242013 | ||||||||
\(637\) | −1.00000 | − | 6.92820i | −0.0396214 | − | 0.274505i | ||||
\(638\) | −5.12461 | −0.202885 | ||||||||
\(639\) | −8.94427 | + | 15.4919i | −0.353830 | + | 0.612851i | ||||
\(640\) | 11.2812 | + | 19.5395i | 0.445927 | + | 0.772368i | ||||
\(641\) | 2.97214 | + | 5.14789i | 0.117392 | + | 0.203329i | 0.918734 | − | 0.394878i | \(-0.129213\pi\) |
−0.801341 | + | 0.598208i | \(0.795880\pi\) | |||||||
\(642\) | −6.07953 | + | 10.5300i | −0.239940 | + | 0.415588i | ||||
\(643\) | −18.8328 | −0.742694 | −0.371347 | − | 0.928494i | \(-0.621104\pi\) | ||||
−0.371347 | + | 0.928494i | \(0.621104\pi\) | |||||||
\(644\) | −13.9574 | − | 12.0875i | −0.550000 | − | 0.476314i | ||||
\(645\) | 40.0000 | 1.57500 | ||||||||
\(646\) | −4.28115 | + | 7.41517i | −0.168440 | + | 0.291746i | ||||
\(647\) | −7.88197 | − | 13.6520i | −0.309872 | − | 0.536714i | 0.668462 | − | 0.743746i | \(-0.266953\pi\) |
−0.978334 | + | 0.207032i | \(0.933620\pi\) | |||||||
\(648\) | 8.09675 | + | 14.0240i | 0.318070 | + | 0.550914i | ||||
\(649\) | 11.2082 | − | 19.4132i | 0.439960 | − | 0.762034i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 27.9508 | − | 9.68246i | 1.09548 | − | 0.379485i | ||||
\(652\) | −19.3131 | −0.756359 | ||||||||
\(653\) | −6.73607 | + | 11.6672i | −0.263603 | + | 0.456573i | −0.967197 | − | 0.254029i | \(-0.918244\pi\) |
0.703594 | + | 0.710602i | \(0.251577\pi\) | |||||||
\(654\) | 4.57295 | + | 7.92058i | 0.178816 | + | 0.309719i | ||||
\(655\) | −4.20820 | − | 7.28882i | −0.164428 | − | 0.284798i | ||||
\(656\) | −7.03444 | + | 12.1840i | −0.274649 | + | 0.475706i | ||||
\(657\) | 21.4164 | 0.835534 | ||||||||
\(658\) | 0.281153 | − | 1.46091i | 0.0109605 | − | 0.0569523i | ||||
\(659\) | 8.94427 | 0.348419 | 0.174210 | − | 0.984709i | \(-0.444263\pi\) | ||||
0.174210 | + | 0.984709i | \(0.444263\pi\) | |||||||
\(660\) | 13.9058 | − | 24.0855i | 0.541281 | − | 0.937526i | ||||
\(661\) | −3.35410 | − | 5.80948i | −0.130459 | − | 0.225962i | 0.793394 | − | 0.608708i | \(-0.208312\pi\) |
−0.923854 | + | 0.382746i | \(0.874979\pi\) | |||||||
\(662\) | −5.42705 | − | 9.39993i | −0.210928 | − | 0.365339i | ||||
\(663\) | −8.35410 | + | 14.4697i | −0.324446 | + | 0.561958i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 3.35410 | − | 17.4284i | 0.130066 | − | 0.675845i | ||||
\(666\) | 6.65248 | 0.257778 | ||||||||
\(667\) | −8.41641 | + | 14.5776i | −0.325885 | + | 0.564449i | ||||
\(668\) | 12.5410 | + | 21.7217i | 0.485227 | + | 0.840437i | ||||
\(669\) | 4.47214 | + | 7.74597i | 0.172903 | + | 0.299476i | ||||
\(670\) | 1.28115 | − | 2.21902i | 0.0494953 | − | 0.0857283i | ||||
\(671\) | −9.00000 | −0.347441 | ||||||||
\(672\) | −23.1763 | + | 8.02850i | −0.894044 | + | 0.309706i | ||||
\(673\) | 17.4164 | 0.671353 | 0.335677 | − | 0.941977i | \(-0.391035\pi\) | ||||
0.335677 | + | 0.941977i | \(0.391035\pi\) | |||||||
\(674\) | 3.43769 | − | 5.95426i | 0.132415 | − | 0.229350i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.927051 | + | 1.60570i | 0.0356558 | + | 0.0617577i | ||||
\(677\) | −16.4443 | + | 28.4823i | −0.632005 | + | 1.09466i | 0.355137 | + | 0.934814i | \(0.384434\pi\) |
−0.987141 | + | 0.159850i | \(0.948899\pi\) | |||||||
\(678\) | 12.7639 | 0.490196 | ||||||||
\(679\) | 34.8328 | + | 30.1661i | 1.33676 | + | 1.15767i | ||||
\(680\) | 24.5967 | 0.943242 | ||||||||
\(681\) | 13.3541 | − | 23.1300i | 0.511730 | − | 0.886343i | ||||
\(682\) | −2.86475 | − | 4.96188i | −0.109697 | − | 0.190000i | ||||
\(683\) | 2.26393 | + | 3.92125i | 0.0866270 | + | 0.150042i | 0.906083 | − | 0.423099i | \(-0.139058\pi\) |
−0.819456 | + | 0.573142i | \(0.805725\pi\) | |||||||
\(684\) | 5.56231 | − | 9.63420i | 0.212680 | − | 0.368373i | ||||
\(685\) | 8.41641 | 0.321574 | ||||||||
\(686\) | −3.24671 | − | 6.28505i | −0.123960 | − | 0.239964i | ||||
\(687\) | −36.0557 | −1.37561 | ||||||||
\(688\) | 12.5836 | − | 21.7954i | 0.479745 | − | 0.830943i | ||||
\(689\) | 0.736068 | + | 1.27491i | 0.0280420 | + | 0.0485701i | ||||
\(690\) | 3.59424 | + | 6.22540i | 0.136830 | + | 0.236997i | ||||
\(691\) | −0.916408 | + | 1.58726i | −0.0348618 | + | 0.0603824i | −0.882930 | − | 0.469505i | \(-0.844432\pi\) |
0.848068 | + | 0.529887i | \(0.177766\pi\) | |||||||
\(692\) | −19.3131 | −0.734173 | ||||||||
\(693\) | 12.0000 | + | 10.3923i | 0.455842 | + | 0.394771i | ||||
\(694\) | 13.3951 | 0.508472 | ||||||||
\(695\) | 3.81966 | − | 6.61585i | 0.144888 | − | 0.250953i | ||||
\(696\) | 7.36068 | + | 12.7491i | 0.279006 | + | 0.483252i | ||||
\(697\) | 16.7082 | + | 28.9395i | 0.632868 | + | 1.09616i | ||||
\(698\) | −0.493422 | + | 0.854632i | −0.0186763 | + | 0.0323483i | ||||
\(699\) | −13.2918 | −0.502742 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 22.3607 | 0.844551 | 0.422276 | − | 0.906467i | \(-0.361231\pi\) | ||||
0.422276 | + | 0.906467i | \(0.361231\pi\) | |||||||
\(702\) | 0.427051 | − | 0.739674i | 0.0161180 | − | 0.0279172i | ||||
\(703\) | 13.0623 | + | 22.6246i | 0.492654 | + | 0.853302i | ||||
\(704\) | −7.06231 | − | 12.2323i | −0.266171 | − | 0.461021i | ||||
\(705\) | 3.68034 | − | 6.37454i | 0.138610 | − | 0.240079i | ||||
\(706\) | −11.7295 | −0.441445 | ||||||||
\(707\) | 4.50000 | − | 23.3827i | 0.169240 | − | 0.879396i | ||||
\(708\) | −30.9787 | −1.16425 | ||||||||
\(709\) | 4.93769 | − | 8.55234i | 0.185439 | − | 0.321190i | −0.758285 | − | 0.651923i | \(-0.773963\pi\) |
0.943724 | + | 0.330733i | \(0.107296\pi\) | |||||||
\(710\) | −3.81966 | − | 6.61585i | −0.143349 | − | 0.248288i | ||||
\(711\) | −10.7082 | − | 18.5472i | −0.401589 | − | 0.695573i | ||||
\(712\) | 1.64590 | − | 2.85078i | 0.0616826 | − | 0.106837i | ||||
\(713\) | −18.8197 | −0.704802 | ||||||||
\(714\) | −3.19098 | + | 16.5808i | −0.119420 | + | 0.620522i | ||||
\(715\) | −6.70820 | −0.250873 | ||||||||
\(716\) | 18.6565 | − | 32.3141i | 0.697228 | − | 1.20763i | ||||
\(717\) | 8.29180 | + | 14.3618i | 0.309663 | + | 0.536352i | ||||
\(718\) | −1.13525 | − | 1.96632i | −0.0423673 | − | 0.0733824i | ||||
\(719\) | −5.64590 | + | 9.77898i | −0.210556 | + | 0.364694i | −0.951889 | − | 0.306444i | \(-0.900861\pi\) |
0.741332 | + | 0.671138i | \(0.234194\pi\) | |||||||
\(720\) | −14.0689 | −0.524316 | ||||||||
\(721\) | 26.7705 | − | 9.27358i | 0.996986 | − | 0.345366i | ||||
\(722\) | 3.81966 | 0.142153 | ||||||||
\(723\) | 9.73607 | − | 16.8634i | 0.362088 | − | 0.627155i | ||||
\(724\) | 1.31308 | + | 2.27433i | 0.0488003 | + | 0.0845246i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −0.854102 | + | 1.47935i | −0.0316987 | + | 0.0549038i | ||||
\(727\) | 14.8328 | 0.550119 | 0.275059 | − | 0.961427i | \(-0.411302\pi\) | ||||
0.275059 | + | 0.961427i | \(0.411302\pi\) | |||||||
\(728\) | 2.94427 | + | 2.54981i | 0.109122 | + | 0.0945024i | ||||
\(729\) | −7.00000 | −0.259259 | ||||||||
\(730\) | −4.57295 | + | 7.92058i | −0.169252 | + | 0.293154i | ||||
\(731\) | −29.8885 | − | 51.7685i | −1.10547 | − | 1.91473i | ||||
\(732\) | 6.21885 | + | 10.7714i | 0.229855 | + | 0.398121i | ||||
\(733\) | −7.64590 | + | 13.2431i | −0.282408 | + | 0.489144i | −0.971977 | − | 0.235075i | \(-0.924466\pi\) |
0.689570 | + | 0.724219i | \(0.257800\pi\) | |||||||
\(734\) | −0.270510 | −0.00998470 | ||||||||
\(735\) | −5.00000 | − | 34.6410i | −0.184428 | − | 1.27775i | ||||
\(736\) | 15.6049 | 0.575203 | ||||||||
\(737\) | −4.50000 | + | 7.79423i | −0.165760 | + | 0.287104i | ||||
\(738\) | 1.70820 | + | 2.95870i | 0.0628799 | + | 0.108911i | ||||
\(739\) | −17.9164 | − | 31.0321i | −0.659066 | − | 1.14154i | −0.980858 | − | 0.194725i | \(-0.937619\pi\) |
0.321792 | − | 0.946810i | \(-0.395715\pi\) | |||||||
\(740\) | 18.0517 | − | 31.2664i | 0.663592 | − | 1.14938i | ||||
\(741\) | −6.70820 | −0.246432 | ||||||||
\(742\) | 1.12461 | + | 0.973942i | 0.0412858 | + | 0.0357545i | ||||
\(743\) | 15.0557 | 0.552341 | 0.276171 | − | 0.961109i | \(-0.410935\pi\) | ||||
0.276171 | + | 0.961109i | \(0.410935\pi\) | |||||||
\(744\) | −8.22949 | + | 14.2539i | −0.301708 | + | 0.522573i | ||||
\(745\) | −14.2082 | − | 24.6093i | −0.520548 | − | 0.901616i | ||||
\(746\) | −5.42705 | − | 9.39993i | −0.198698 | − | 0.344156i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −41.5623 | −1.51967 | ||||||||
\(749\) | −35.5902 | + | 12.3288i | −1.30044 | + | 0.450484i | ||||
\(750\) | −9.54915 | −0.348686 | ||||||||
\(751\) | −15.0623 | + | 26.0887i | −0.549631 | + | 0.951989i | 0.448668 | + | 0.893698i | \(0.351898\pi\) |
−0.998300 | + | 0.0582911i | \(0.981435\pi\) | |||||||
\(752\) | −2.31559 | − | 4.01073i | −0.0844411 | − | 0.146256i | ||||
\(753\) | −11.7082 | − | 20.2792i | −0.426671 | − | 0.739015i | ||||
\(754\) | 0.854102 | − | 1.47935i | 0.0311046 | − | 0.0538747i | ||||
\(755\) | 14.3475 | 0.522160 | ||||||||
\(756\) | −2.07295 | + | 10.7714i | −0.0753924 | + | 0.391751i | ||||
\(757\) | 0.832816 | 0.0302692 | 0.0151346 | − | 0.999885i | \(-0.495182\pi\) | ||||
0.0151346 | + | 0.999885i | \(0.495182\pi\) | |||||||
\(758\) | 2.18034 | − | 3.77646i | 0.0791935 | − | 0.137167i | ||||
\(759\) | −12.6246 | − | 21.8665i | −0.458244 | − | 0.793703i | ||||
\(760\) | 4.93769 | + | 8.55234i | 0.179109 | + | 0.310226i | ||||
\(761\) | −16.7705 | + | 29.0474i | −0.607931 | + | 1.05297i | 0.383650 | + | 0.923478i | \(0.374667\pi\) |
−0.991581 | + | 0.129488i | \(0.958667\pi\) | |||||||
\(762\) | −13.1672 | −0.476997 | ||||||||
\(763\) | −5.35410 | + | 27.8207i | −0.193832 | + | 1.00718i | ||||
\(764\) | 20.7295 | 0.749967 | ||||||||
\(765\) | −16.7082 | + | 28.9395i | −0.604086 | + | 1.04631i | ||||
\(766\) | 2.86475 | + | 4.96188i | 0.103507 | + | 0.179280i | ||||
\(767\) | 3.73607 | + | 6.47106i | 0.134902 | + | 0.233656i | ||||
\(768\) | −6.21885 | + | 10.7714i | −0.224403 | + | 0.388678i | ||||
\(769\) | 46.0000 | 1.65880 | 0.829401 | − | 0.558653i | \(-0.188682\pi\) | ||||
0.829401 | + | 0.558653i | \(0.188682\pi\) | |||||||
\(770\) | −6.40576 | + | 2.21902i | −0.230848 | + | 0.0799680i |