Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [961,2,Mod(374,961)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(961, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("961.374");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 961 = 31^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 961.d (of order \(5\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.67362363425\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 31) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 374.1 | ||
Root | \(0.809017 + 0.587785i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 961.374 |
Dual form | 961.2.d.c.388.1 |
$q$-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 \(\left(\mathbb{Z}/961\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30902 | − | 0.951057i | −0.925615 | − | 0.672499i | 0.0193004 | − | 0.999814i | \(-0.493856\pi\) |
−0.944915 | + | 0.327315i | \(0.893856\pi\) | |||||||
\(3\) | 2.61803 | − | 1.90211i | 1.51152 | − | 1.09819i | 0.546027 | − | 0.837768i | \(-0.316140\pi\) |
0.965496 | − | 0.260418i | \(-0.0838602\pi\) | |||||||
\(4\) | 0.190983 | + | 0.587785i | 0.0954915 | + | 0.293893i | ||||
\(5\) | 1.00000 | 0.447214 | 0.223607 | − | 0.974679i | \(-0.428217\pi\) | ||||
0.223607 | + | 0.974679i | \(0.428217\pi\) | |||||||
\(6\) | −5.23607 | −2.13762 | ||||||||
\(7\) | 0.0729490 | + | 0.224514i | 0.0275721 | + | 0.0848583i | 0.963896 | − | 0.266280i | \(-0.0857946\pi\) |
−0.936324 | + | 0.351138i | \(0.885795\pi\) | |||||||
\(8\) | −0.690983 | + | 2.12663i | −0.244299 | + | 0.751876i | ||||
\(9\) | 2.30902 | − | 7.10642i | 0.769672 | − | 2.36881i | ||||
\(10\) | −1.30902 | − | 0.951057i | −0.413948 | − | 0.300750i | ||||
\(11\) | 0.618034 | + | 1.90211i | 0.186344 | + | 0.573509i | 0.999969 | − | 0.00788181i | \(-0.00250889\pi\) |
−0.813625 | + | 0.581390i | \(0.802509\pi\) | |||||||
\(12\) | 1.61803 | + | 1.17557i | 0.467086 | + | 0.339358i | ||||
\(13\) | 2.61803 | − | 1.90211i | 0.726112 | − | 0.527551i | −0.162219 | − | 0.986755i | \(-0.551865\pi\) |
0.888331 | + | 0.459204i | \(0.151865\pi\) | |||||||
\(14\) | 0.118034 | − | 0.363271i | 0.0315459 | − | 0.0970883i | ||||
\(15\) | 2.61803 | − | 1.90211i | 0.675973 | − | 0.491123i | ||||
\(16\) | 3.92705 | − | 2.85317i | 0.981763 | − | 0.713292i | ||||
\(17\) | 0.236068 | − | 0.726543i | 0.0572549 | − | 0.176212i | −0.918339 | − | 0.395794i | \(-0.870469\pi\) |
0.975594 | + | 0.219582i | \(0.0704693\pi\) | |||||||
\(18\) | −9.78115 | + | 7.10642i | −2.30544 | + | 1.67500i | ||||
\(19\) | 1.80902 | + | 1.31433i | 0.415017 | + | 0.301527i | 0.775630 | − | 0.631188i | \(-0.217432\pi\) |
−0.360613 | + | 0.932716i | \(0.617432\pi\) | |||||||
\(20\) | 0.190983 | + | 0.587785i | 0.0427051 | + | 0.131433i | ||||
\(21\) | 0.618034 | + | 0.449028i | 0.134866 | + | 0.0979859i | ||||
\(22\) | 1.00000 | − | 3.07768i | 0.213201 | − | 0.656164i | ||||
\(23\) | 1.76393 | − | 5.42882i | 0.367805 | − | 1.13199i | −0.580400 | − | 0.814331i | \(-0.697104\pi\) |
0.948206 | − | 0.317657i | \(-0.102896\pi\) | |||||||
\(24\) | 2.23607 | + | 6.88191i | 0.456435 | + | 1.40476i | ||||
\(25\) | −4.00000 | −0.800000 | ||||||||
\(26\) | −5.23607 | −1.02688 | ||||||||
\(27\) | −4.47214 | − | 13.7638i | −0.860663 | − | 2.64885i | ||||
\(28\) | −0.118034 | + | 0.0857567i | −0.0223063 | + | 0.0162065i | ||||
\(29\) | −2.23607 | − | 1.62460i | −0.415227 | − | 0.301680i | 0.360487 | − | 0.932764i | \(-0.382610\pi\) |
−0.775715 | + | 0.631084i | \(0.782610\pi\) | |||||||
\(30\) | −5.23607 | −0.955971 | ||||||||
\(31\) | 0 | 0 | ||||||||
\(32\) | −3.38197 | −0.597853 | ||||||||
\(33\) | 5.23607 | + | 3.80423i | 0.911482 | + | 0.662231i | ||||
\(34\) | −1.00000 | + | 0.726543i | −0.171499 | + | 0.124601i | ||||
\(35\) | 0.0729490 | + | 0.224514i | 0.0123306 | + | 0.0379498i | ||||
\(36\) | 4.61803 | 0.769672 | ||||||||
\(37\) | −2.00000 | −0.328798 | −0.164399 | − | 0.986394i | \(-0.552568\pi\) | ||||
−0.164399 | + | 0.986394i | \(0.552568\pi\) | |||||||
\(38\) | −1.11803 | − | 3.44095i | −0.181369 | − | 0.558197i | ||||
\(39\) | 3.23607 | − | 9.95959i | 0.518186 | − | 1.59481i | ||||
\(40\) | −0.690983 | + | 2.12663i | −0.109254 | + | 0.336249i | ||||
\(41\) | −5.66312 | − | 4.11450i | −0.884431 | − | 0.642576i | 0.0499893 | − | 0.998750i | \(-0.484081\pi\) |
−0.934420 | + | 0.356173i | \(0.884081\pi\) | |||||||
\(42\) | −0.381966 | − | 1.17557i | −0.0589386 | − | 0.181394i | ||||
\(43\) | −1.00000 | − | 0.726543i | −0.152499 | − | 0.110797i | 0.508920 | − | 0.860814i | \(-0.330045\pi\) |
−0.661418 | + | 0.750017i | \(0.730045\pi\) | |||||||
\(44\) | −1.00000 | + | 0.726543i | −0.150756 | + | 0.109530i | ||||
\(45\) | 2.30902 | − | 7.10642i | 0.344208 | − | 1.05936i | ||||
\(46\) | −7.47214 | + | 5.42882i | −1.10171 | + | 0.800437i | ||||
\(47\) | −2.00000 | + | 1.45309i | −0.291730 | + | 0.211954i | −0.724018 | − | 0.689782i | \(-0.757707\pi\) |
0.432288 | + | 0.901736i | \(0.357707\pi\) | |||||||
\(48\) | 4.85410 | − | 14.9394i | 0.700629 | − | 2.15632i | ||||
\(49\) | 5.61803 | − | 4.08174i | 0.802576 | − | 0.583106i | ||||
\(50\) | 5.23607 | + | 3.80423i | 0.740492 | + | 0.537999i | ||||
\(51\) | −0.763932 | − | 2.35114i | −0.106972 | − | 0.329226i | ||||
\(52\) | 1.61803 | + | 1.17557i | 0.224381 | + | 0.163022i | ||||
\(53\) | −3.23607 | + | 9.95959i | −0.444508 | + | 1.36806i | 0.438514 | + | 0.898724i | \(0.355505\pi\) |
−0.883022 | + | 0.469331i | \(0.844495\pi\) | |||||||
\(54\) | −7.23607 | + | 22.2703i | −0.984704 | + | 3.03061i | ||||
\(55\) | 0.618034 | + | 1.90211i | 0.0833357 | + | 0.256481i | ||||
\(56\) | −0.527864 | −0.0705388 | ||||||||
\(57\) | 7.23607 | 0.958441 | ||||||||
\(58\) | 1.38197 | + | 4.25325i | 0.181461 | + | 0.558480i | ||||
\(59\) | −1.80902 | + | 1.31433i | −0.235514 | + | 0.171111i | −0.699282 | − | 0.714846i | \(-0.746497\pi\) |
0.463768 | + | 0.885956i | \(0.346497\pi\) | |||||||
\(60\) | 1.61803 | + | 1.17557i | 0.208887 | + | 0.151765i | ||||
\(61\) | 8.18034 | 1.04739 | 0.523693 | − | 0.851907i | \(-0.324554\pi\) | ||||
0.523693 | + | 0.851907i | \(0.324554\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.76393 | 0.222235 | ||||||||
\(64\) | −3.42705 | − | 2.48990i | −0.428381 | − | 0.311237i | ||||
\(65\) | 2.61803 | − | 1.90211i | 0.324727 | − | 0.235928i | ||||
\(66\) | −3.23607 | − | 9.95959i | −0.398332 | − | 1.22594i | ||||
\(67\) | 8.00000 | 0.977356 | 0.488678 | − | 0.872464i | \(-0.337479\pi\) | ||||
0.488678 | + | 0.872464i | \(0.337479\pi\) | |||||||
\(68\) | 0.472136 | 0.0572549 | ||||||||
\(69\) | −5.70820 | − | 17.5680i | −0.687187 | − | 2.11494i | ||||
\(70\) | 0.118034 | − | 0.363271i | 0.0141078 | − | 0.0434192i | ||||
\(71\) | −2.83688 | + | 8.73102i | −0.336676 | + | 1.03618i | 0.629215 | + | 0.777231i | \(0.283377\pi\) |
−0.965891 | + | 0.258950i | \(0.916623\pi\) | |||||||
\(72\) | 13.5172 | + | 9.82084i | 1.59302 | + | 1.15740i | ||||
\(73\) | 2.61803 | + | 8.05748i | 0.306418 | + | 0.943057i | 0.979144 | + | 0.203166i | \(0.0651230\pi\) |
−0.672727 | + | 0.739891i | \(0.734877\pi\) | |||||||
\(74\) | 2.61803 | + | 1.90211i | 0.304340 | + | 0.221116i | ||||
\(75\) | −10.4721 | + | 7.60845i | −1.20922 | + | 0.878548i | ||||
\(76\) | −0.427051 | + | 1.31433i | −0.0489861 | + | 0.150764i | ||||
\(77\) | −0.381966 | + | 0.277515i | −0.0435291 | + | 0.0316257i | ||||
\(78\) | −13.7082 | + | 9.95959i | −1.55215 | + | 1.12770i | ||||
\(79\) | −3.61803 | + | 11.1352i | −0.407061 | + | 1.25280i | 0.512102 | + | 0.858925i | \(0.328867\pi\) |
−0.919162 | + | 0.393879i | \(0.871133\pi\) | |||||||
\(80\) | 3.92705 | − | 2.85317i | 0.439058 | − | 0.318994i | ||||
\(81\) | −19.7533 | − | 14.3516i | −2.19481 | − | 1.59462i | ||||
\(82\) | 3.50000 | + | 10.7719i | 0.386510 | + | 1.18956i | ||||
\(83\) | 12.0902 | + | 8.78402i | 1.32707 | + | 0.964172i | 0.999815 | + | 0.0192352i | \(0.00612313\pi\) |
0.327254 | + | 0.944937i | \(0.393877\pi\) | |||||||
\(84\) | −0.145898 | + | 0.449028i | −0.0159188 | + | 0.0489930i | ||||
\(85\) | 0.236068 | − | 0.726543i | 0.0256052 | − | 0.0788046i | ||||
\(86\) | 0.618034 | + | 1.90211i | 0.0666443 | + | 0.205110i | ||||
\(87\) | −8.94427 | −0.958927 | ||||||||
\(88\) | −4.47214 | −0.476731 | ||||||||
\(89\) | 3.61803 | + | 11.1352i | 0.383511 | + | 1.18032i | 0.937555 | + | 0.347838i | \(0.113084\pi\) |
−0.554044 | + | 0.832487i | \(0.686916\pi\) | |||||||
\(90\) | −9.78115 | + | 7.10642i | −1.03102 | + | 0.749083i | ||||
\(91\) | 0.618034 | + | 0.449028i | 0.0647876 | + | 0.0470709i | ||||
\(92\) | 3.52786 | 0.367805 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.00000 | 0.412568 | ||||||||
\(95\) | 1.80902 | + | 1.31433i | 0.185601 | + | 0.134847i | ||||
\(96\) | −8.85410 | + | 6.43288i | −0.903668 | + | 0.656553i | ||||
\(97\) | −4.92705 | − | 15.1639i | −0.500266 | − | 1.53966i | −0.808586 | − | 0.588378i | \(-0.799767\pi\) |
0.308320 | − | 0.951283i | \(-0.400233\pi\) | |||||||
\(98\) | −11.2361 | −1.13501 | ||||||||
\(99\) | 14.9443 | 1.50196 | ||||||||
\(100\) | −0.763932 | − | 2.35114i | −0.0763932 | − | 0.235114i | ||||
\(101\) | −0.927051 | + | 2.85317i | −0.0922450 | + | 0.283901i | −0.986526 | − | 0.163605i | \(-0.947688\pi\) |
0.894281 | + | 0.447506i | \(0.147688\pi\) | |||||||
\(102\) | −1.23607 | + | 3.80423i | −0.122389 | + | 0.376675i | ||||
\(103\) | −5.04508 | − | 3.66547i | −0.497107 | − | 0.361169i | 0.310804 | − | 0.950474i | \(-0.399402\pi\) |
−0.807911 | + | 0.589305i | \(0.799402\pi\) | |||||||
\(104\) | 2.23607 | + | 6.88191i | 0.219265 | + | 0.674827i | ||||
\(105\) | 0.618034 | + | 0.449028i | 0.0603139 | + | 0.0438206i | ||||
\(106\) | 13.7082 | − | 9.95959i | 1.33146 | − | 0.967361i | ||||
\(107\) | 1.78115 | − | 5.48183i | 0.172191 | − | 0.529948i | −0.827303 | − | 0.561755i | \(-0.810126\pi\) |
0.999494 | + | 0.0318072i | \(0.0101263\pi\) | |||||||
\(108\) | 7.23607 | − | 5.25731i | 0.696291 | − | 0.505885i | ||||
\(109\) | 11.2812 | − | 8.19624i | 1.08054 | − | 0.785057i | 0.102762 | − | 0.994706i | \(-0.467232\pi\) |
0.977777 | + | 0.209649i | \(0.0672321\pi\) | |||||||
\(110\) | 1.00000 | − | 3.07768i | 0.0953463 | − | 0.293446i | ||||
\(111\) | −5.23607 | + | 3.80423i | −0.496986 | + | 0.361081i | ||||
\(112\) | 0.927051 | + | 0.673542i | 0.0875981 | + | 0.0636437i | ||||
\(113\) | 1.07295 | + | 3.30220i | 0.100935 | + | 0.310645i | 0.988755 | − | 0.149546i | \(-0.0477811\pi\) |
−0.887820 | + | 0.460190i | \(0.847781\pi\) | |||||||
\(114\) | −9.47214 | − | 6.88191i | −0.887147 | − | 0.644550i | ||||
\(115\) | 1.76393 | − | 5.42882i | 0.164488 | − | 0.506240i | ||||
\(116\) | 0.527864 | − | 1.62460i | 0.0490109 | − | 0.150840i | ||||
\(117\) | −7.47214 | − | 22.9969i | −0.690799 | − | 2.12606i | ||||
\(118\) | 3.61803 | 0.333067 | ||||||||
\(119\) | 0.180340 | 0.0165317 | ||||||||
\(120\) | 2.23607 | + | 6.88191i | 0.204124 | + | 0.628230i | ||||
\(121\) | 5.66312 | − | 4.11450i | 0.514829 | − | 0.374045i | ||||
\(122\) | −10.7082 | − | 7.77997i | −0.969475 | − | 0.704365i | ||||
\(123\) | −22.6525 | −2.04250 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.00000 | −0.804984 | ||||||||
\(126\) | −2.30902 | − | 1.67760i | −0.205704 | − | 0.149452i | ||||
\(127\) | −10.0902 | + | 7.33094i | −0.895358 | + | 0.650516i | −0.937269 | − | 0.348606i | \(-0.886655\pi\) |
0.0419116 | + | 0.999121i | \(0.486655\pi\) | |||||||
\(128\) | 4.20820 | + | 12.9515i | 0.371956 | + | 1.14476i | ||||
\(129\) | −4.00000 | −0.352180 | ||||||||
\(130\) | −5.23607 | −0.459234 | ||||||||
\(131\) | 3.70820 | + | 11.4127i | 0.323987 | + | 0.997130i | 0.971896 | + | 0.235412i | \(0.0756440\pi\) |
−0.647908 | + | 0.761718i | \(0.724356\pi\) | |||||||
\(132\) | −1.23607 | + | 3.80423i | −0.107586 | + | 0.331115i | ||||
\(133\) | −0.163119 | + | 0.502029i | −0.0141442 | + | 0.0435314i | ||||
\(134\) | −10.4721 | − | 7.60845i | −0.904655 | − | 0.657270i | ||||
\(135\) | −4.47214 | − | 13.7638i | −0.384900 | − | 1.18460i | ||||
\(136\) | 1.38197 | + | 1.00406i | 0.118503 | + | 0.0860972i | ||||
\(137\) | −5.09017 | + | 3.69822i | −0.434883 | + | 0.315961i | −0.783598 | − | 0.621268i | \(-0.786618\pi\) |
0.348716 | + | 0.937229i | \(0.386618\pi\) | |||||||
\(138\) | −9.23607 | + | 28.4257i | −0.786226 | + | 2.41976i | ||||
\(139\) | −10.8541 | + | 7.88597i | −0.920633 | + | 0.668879i | −0.943681 | − | 0.330855i | \(-0.892663\pi\) |
0.0230486 | + | 0.999734i | \(0.492663\pi\) | |||||||
\(140\) | −0.118034 | + | 0.0857567i | −0.00997569 | + | 0.00724777i | ||||
\(141\) | −2.47214 | + | 7.60845i | −0.208191 | + | 0.640747i | ||||
\(142\) | 12.0172 | − | 8.73102i | 1.00846 | − | 0.732691i | ||||
\(143\) | 5.23607 | + | 3.80423i | 0.437862 | + | 0.318125i | ||||
\(144\) | −11.2082 | − | 34.4953i | −0.934017 | − | 2.87461i | ||||
\(145\) | −2.23607 | − | 1.62460i | −0.185695 | − | 0.134916i | ||||
\(146\) | 4.23607 | − | 13.0373i | 0.350579 | − | 1.07897i | ||||
\(147\) | 6.94427 | − | 21.3723i | 0.572754 | − | 1.76276i | ||||
\(148\) | −0.381966 | − | 1.17557i | −0.0313974 | − | 0.0966313i | ||||
\(149\) | 10.0000 | 0.819232 | 0.409616 | − | 0.912258i | \(-0.365663\pi\) | ||||
0.409616 | + | 0.912258i | \(0.365663\pi\) | |||||||
\(150\) | 20.9443 | 1.71009 | ||||||||
\(151\) | −4.38197 | − | 13.4863i | −0.356599 | − | 1.09750i | −0.955076 | − | 0.296360i | \(-0.904227\pi\) |
0.598477 | − | 0.801140i | \(-0.295773\pi\) | |||||||
\(152\) | −4.04508 | + | 2.93893i | −0.328100 | + | 0.238378i | ||||
\(153\) | −4.61803 | − | 3.35520i | −0.373346 | − | 0.271252i | ||||
\(154\) | 0.763932 | 0.0615594 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 6.47214 | 0.518186 | ||||||||
\(157\) | −16.8992 | − | 12.2780i | −1.34870 | − | 0.979889i | −0.999075 | − | 0.0430003i | \(-0.986308\pi\) |
−0.349627 | − | 0.936889i | \(-0.613692\pi\) | |||||||
\(158\) | 15.3262 | − | 11.1352i | 1.21929 | − | 0.885866i | ||||
\(159\) | 10.4721 | + | 32.2299i | 0.830494 | + | 2.55600i | ||||
\(160\) | −3.38197 | −0.267368 | ||||||||
\(161\) | 1.34752 | 0.106200 | ||||||||
\(162\) | 12.2082 | + | 37.5730i | 0.959167 | + | 2.95201i | ||||
\(163\) | 3.30902 | − | 10.1841i | 0.259182 | − | 0.797681i | −0.733795 | − | 0.679371i | \(-0.762253\pi\) |
0.992977 | − | 0.118309i | \(-0.0377475\pi\) | |||||||
\(164\) | 1.33688 | − | 4.11450i | 0.104393 | − | 0.321288i | ||||
\(165\) | 5.23607 | + | 3.80423i | 0.407627 | + | 0.296159i | ||||
\(166\) | −7.47214 | − | 22.9969i | −0.579950 | − | 1.78490i | ||||
\(167\) | 5.23607 | + | 3.80423i | 0.405179 | + | 0.294380i | 0.771647 | − | 0.636051i | \(-0.219433\pi\) |
−0.366468 | + | 0.930431i | \(0.619433\pi\) | |||||||
\(168\) | −1.38197 | + | 1.00406i | −0.106621 | + | 0.0774647i | ||||
\(169\) | −0.781153 | + | 2.40414i | −0.0600887 | + | 0.184934i | ||||
\(170\) | −1.00000 | + | 0.726543i | −0.0766965 | + | 0.0557233i | ||||
\(171\) | 13.5172 | − | 9.82084i | 1.03369 | − | 0.751018i | ||||
\(172\) | 0.236068 | − | 0.726543i | 0.0180000 | − | 0.0553983i | ||||
\(173\) | −2.38197 | + | 1.73060i | −0.181098 | + | 0.131575i | −0.674641 | − | 0.738146i | \(-0.735701\pi\) |
0.493543 | + | 0.869721i | \(0.335701\pi\) | |||||||
\(174\) | 11.7082 | + | 8.50651i | 0.887597 | + | 0.644877i | ||||
\(175\) | −0.291796 | − | 0.898056i | −0.0220577 | − | 0.0678866i | ||||
\(176\) | 7.85410 | + | 5.70634i | 0.592025 | + | 0.430131i | ||||
\(177\) | −2.23607 | + | 6.88191i | −0.168073 | + | 0.517276i | ||||
\(178\) | 5.85410 | − | 18.0171i | 0.438783 | − | 1.35044i | ||||
\(179\) | 0.527864 | + | 1.62460i | 0.0394544 | + | 0.121428i | 0.968844 | − | 0.247673i | \(-0.0796657\pi\) |
−0.929389 | + | 0.369101i | \(0.879666\pi\) | |||||||
\(180\) | 4.61803 | 0.344208 | ||||||||
\(181\) | −4.18034 | −0.310722 | −0.155361 | − | 0.987858i | \(-0.549654\pi\) | ||||
−0.155361 | + | 0.987858i | \(0.549654\pi\) | |||||||
\(182\) | −0.381966 | − | 1.17557i | −0.0283132 | − | 0.0871391i | ||||
\(183\) | 21.4164 | − | 15.5599i | 1.58315 | − | 1.15022i | ||||
\(184\) | 10.3262 | + | 7.50245i | 0.761260 | + | 0.553088i | ||||
\(185\) | −2.00000 | −0.147043 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.52786 | 0.111728 | ||||||||
\(188\) | −1.23607 | − | 0.898056i | −0.0901495 | − | 0.0654975i | ||||
\(189\) | 2.76393 | − | 2.00811i | 0.201046 | − | 0.146069i | ||||
\(190\) | −1.11803 | − | 3.44095i | −0.0811107 | − | 0.249633i | ||||
\(191\) | −19.1803 | −1.38784 | −0.693920 | − | 0.720052i | \(-0.744118\pi\) | ||||
−0.693920 | + | 0.720052i | \(0.744118\pi\) | |||||||
\(192\) | −13.7082 | −0.989304 | ||||||||
\(193\) | 1.07295 | + | 3.30220i | 0.0772326 | + | 0.237697i | 0.982218 | − | 0.187746i | \(-0.0601182\pi\) |
−0.904985 | + | 0.425443i | \(0.860118\pi\) | |||||||
\(194\) | −7.97214 | + | 24.5357i | −0.572366 | + | 1.76156i | ||||
\(195\) | 3.23607 | − | 9.95959i | 0.231740 | − | 0.713221i | ||||
\(196\) | 3.47214 | + | 2.52265i | 0.248010 | + | 0.180190i | ||||
\(197\) | 3.52786 | + | 10.8576i | 0.251350 | + | 0.773575i | 0.994527 | + | 0.104481i | \(0.0333180\pi\) |
−0.743177 | + | 0.669095i | \(0.766682\pi\) | |||||||
\(198\) | −19.5623 | − | 14.2128i | −1.39023 | − | 1.01006i | ||||
\(199\) | 15.3262 | − | 11.1352i | 1.08645 | − | 0.789351i | 0.107652 | − | 0.994189i | \(-0.465667\pi\) |
0.978796 | + | 0.204838i | \(0.0656667\pi\) | |||||||
\(200\) | 2.76393 | − | 8.50651i | 0.195440 | − | 0.601501i | ||||
\(201\) | 20.9443 | − | 15.2169i | 1.47730 | − | 1.07332i | ||||
\(202\) | 3.92705 | − | 2.85317i | 0.276306 | − | 0.200748i | ||||
\(203\) | 0.201626 | − | 0.620541i | 0.0141514 | − | 0.0435535i | ||||
\(204\) | 1.23607 | − | 0.898056i | 0.0865421 | − | 0.0628765i | ||||
\(205\) | −5.66312 | − | 4.11450i | −0.395529 | − | 0.287369i | ||||
\(206\) | 3.11803 | + | 9.59632i | 0.217244 | + | 0.668607i | ||||
\(207\) | −34.5066 | − | 25.0705i | −2.39837 | − | 1.74252i | ||||
\(208\) | 4.85410 | − | 14.9394i | 0.336571 | − | 1.03586i | ||||
\(209\) | −1.38197 | + | 4.25325i | −0.0955926 | + | 0.294204i | ||||
\(210\) | −0.381966 | − | 1.17557i | −0.0263582 | − | 0.0811221i | ||||
\(211\) | 23.1803 | 1.59580 | 0.797900 | − | 0.602790i | \(-0.205944\pi\) | ||||
0.797900 | + | 0.602790i | \(0.205944\pi\) | |||||||
\(212\) | −6.47214 | −0.444508 | ||||||||
\(213\) | 9.18034 | + | 28.2542i | 0.629027 | + | 1.93594i | ||||
\(214\) | −7.54508 | + | 5.48183i | −0.515771 | + | 0.374730i | ||||
\(215\) | −1.00000 | − | 0.726543i | −0.0681994 | − | 0.0495498i | ||||
\(216\) | 32.3607 | 2.20187 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −22.5623 | −1.52811 | ||||||||
\(219\) | 22.1803 | + | 16.1150i | 1.49881 | + | 1.08895i | ||||
\(220\) | −1.00000 | + | 0.726543i | −0.0674200 | + | 0.0489835i | ||||
\(221\) | −0.763932 | − | 2.35114i | −0.0513876 | − | 0.158155i | ||||
\(222\) | 10.4721 | 0.702844 | ||||||||
\(223\) | 4.00000 | 0.267860 | 0.133930 | − | 0.990991i | \(-0.457240\pi\) | ||||
0.133930 | + | 0.990991i | \(0.457240\pi\) | |||||||
\(224\) | −0.246711 | − | 0.759299i | −0.0164841 | − | 0.0507328i | ||||
\(225\) | −9.23607 | + | 28.4257i | −0.615738 | + | 1.89505i | ||||
\(226\) | 1.73607 | − | 5.34307i | 0.115482 | − | 0.355416i | ||||
\(227\) | 5.23607 | + | 3.80423i | 0.347530 | + | 0.252495i | 0.747832 | − | 0.663888i | \(-0.231095\pi\) |
−0.400302 | + | 0.916383i | \(0.631095\pi\) | |||||||
\(228\) | 1.38197 | + | 4.25325i | 0.0915229 | + | 0.281679i | ||||
\(229\) | 10.8541 | + | 7.88597i | 0.717259 | + | 0.521119i | 0.885507 | − | 0.464625i | \(-0.153811\pi\) |
−0.168248 | + | 0.985745i | \(0.553811\pi\) | |||||||
\(230\) | −7.47214 | + | 5.42882i | −0.492698 | + | 0.357966i | ||||
\(231\) | −0.472136 | + | 1.45309i | −0.0310643 | + | 0.0956060i | ||||
\(232\) | 5.00000 | − | 3.63271i | 0.328266 | − | 0.238499i | ||||
\(233\) | −14.5172 | + | 10.5474i | −0.951055 | + | 0.690982i | −0.951056 | − | 0.309018i | \(-0.900000\pi\) |
1.33829e−6 | 1.00000i | \(0.500000\pi\) | ||||||||
\(234\) | −12.0902 | + | 37.2097i | −0.790359 | + | 2.43248i | ||||
\(235\) | −2.00000 | + | 1.45309i | −0.130466 | + | 0.0947888i | ||||
\(236\) | −1.11803 | − | 0.812299i | −0.0727778 | − | 0.0528762i | ||||
\(237\) | 11.7082 | + | 36.0341i | 0.760530 | + | 2.34067i | ||||
\(238\) | −0.236068 | − | 0.171513i | −0.0153020 | − | 0.0111176i | ||||
\(239\) | −3.61803 | + | 11.1352i | −0.234031 | + | 0.720274i | 0.763217 | + | 0.646142i | \(0.223619\pi\) |
−0.997248 | + | 0.0741319i | \(0.976381\pi\) | |||||||
\(240\) | 4.85410 | − | 14.9394i | 0.313331 | − | 0.964333i | ||||
\(241\) | 4.43769 | + | 13.6578i | 0.285857 | + | 0.879777i | 0.986140 | + | 0.165913i | \(0.0530569\pi\) |
−0.700283 | + | 0.713865i | \(0.746943\pi\) | |||||||
\(242\) | −11.3262 | −0.728078 | ||||||||
\(243\) | −35.5967 | −2.28353 | ||||||||
\(244\) | 1.56231 | + | 4.80828i | 0.100016 | + | 0.307819i | ||||
\(245\) | 5.61803 | − | 4.08174i | 0.358923 | − | 0.260773i | ||||
\(246\) | 29.6525 | + | 21.5438i | 1.89057 | + | 1.37358i | ||||
\(247\) | 7.23607 | 0.460420 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 48.3607 | 3.06473 | ||||||||
\(250\) | 11.7812 | + | 8.55951i | 0.745106 | + | 0.541351i | ||||
\(251\) | 1.47214 | − | 1.06957i | 0.0929204 | − | 0.0675106i | −0.540355 | − | 0.841437i | \(-0.681710\pi\) |
0.633275 | + | 0.773927i | \(0.281710\pi\) | |||||||
\(252\) | 0.336881 | + | 1.03681i | 0.0212215 | + | 0.0653131i | ||||
\(253\) | 11.4164 | 0.717743 | ||||||||
\(254\) | 20.1803 | 1.26623 | ||||||||
\(255\) | −0.763932 | − | 2.35114i | −0.0478393 | − | 0.147234i | ||||
\(256\) | 4.19098 | − | 12.8985i | 0.261936 | − | 0.806157i | ||||
\(257\) | 0.600813 | − | 1.84911i | 0.0374777 | − | 0.115344i | −0.930567 | − | 0.366121i | \(-0.880686\pi\) |
0.968045 | + | 0.250776i | \(0.0806858\pi\) | |||||||
\(258\) | 5.23607 | + | 3.80423i | 0.325983 | + | 0.236841i | ||||
\(259\) | −0.145898 | − | 0.449028i | −0.00906566 | − | 0.0279012i | ||||
\(260\) | 1.61803 | + | 1.17557i | 0.100346 | + | 0.0729058i | ||||
\(261\) | −16.7082 | + | 12.1392i | −1.03421 | + | 0.751399i | ||||
\(262\) | 6.00000 | − | 18.4661i | 0.370681 | − | 1.14084i | ||||
\(263\) | 18.7984 | − | 13.6578i | 1.15916 | − | 0.842177i | 0.169486 | − | 0.985533i | \(-0.445789\pi\) |
0.989671 | + | 0.143355i | \(0.0457892\pi\) | |||||||
\(264\) | −11.7082 | + | 8.50651i | −0.720590 | + | 0.523539i | ||||
\(265\) | −3.23607 | + | 9.95959i | −0.198790 | + | 0.611813i | ||||
\(266\) | 0.690983 | − | 0.502029i | 0.0423669 | − | 0.0307813i | ||||
\(267\) | 30.6525 | + | 22.2703i | 1.87590 | + | 1.36292i | ||||
\(268\) | 1.52786 | + | 4.70228i | 0.0933292 | + | 0.287238i | ||||
\(269\) | 8.94427 | + | 6.49839i | 0.545342 | + | 0.396214i | 0.826065 | − | 0.563575i | \(-0.190574\pi\) |
−0.280723 | + | 0.959789i | \(0.590574\pi\) | |||||||
\(270\) | −7.23607 | + | 22.2703i | −0.440373 | + | 1.35533i | ||||
\(271\) | −4.38197 | + | 13.4863i | −0.266185 | + | 0.819235i | 0.725232 | + | 0.688504i | \(0.241732\pi\) |
−0.991418 | + | 0.130731i | \(0.958268\pi\) | |||||||
\(272\) | −1.14590 | − | 3.52671i | −0.0694803 | − | 0.213838i | ||||
\(273\) | 2.47214 | 0.149620 | ||||||||
\(274\) | 10.1803 | 0.615017 | ||||||||
\(275\) | −2.47214 | − | 7.60845i | −0.149075 | − | 0.458807i | ||||
\(276\) | 9.23607 | − | 6.71040i | 0.555946 | − | 0.403918i | ||||
\(277\) | 10.2361 | + | 7.43694i | 0.615026 | + | 0.446842i | 0.851180 | − | 0.524873i | \(-0.175887\pi\) |
−0.236155 | + | 0.971715i | \(0.575887\pi\) | |||||||
\(278\) | 21.7082 | 1.30197 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.527864 | −0.0315459 | ||||||||
\(281\) | −13.7533 | − | 9.99235i | −0.820452 | − | 0.596094i | 0.0963896 | − | 0.995344i | \(-0.469271\pi\) |
−0.916842 | + | 0.399250i | \(0.869271\pi\) | |||||||
\(282\) | 10.4721 | − | 7.60845i | 0.623607 | − | 0.453077i | ||||
\(283\) | −4.29180 | − | 13.2088i | −0.255121 | − | 0.785181i | −0.993806 | − | 0.111130i | \(-0.964553\pi\) |
0.738685 | − | 0.674051i | \(-0.235447\pi\) | |||||||
\(284\) | −5.67376 | −0.336676 | ||||||||
\(285\) | 7.23607 | 0.428628 | ||||||||
\(286\) | −3.23607 | − | 9.95959i | −0.191353 | − | 0.588923i | ||||
\(287\) | 0.510643 | − | 1.57160i | 0.0301423 | − | 0.0927685i | ||||
\(288\) | −7.80902 | + | 24.0337i | −0.460151 | + | 1.41620i | ||||
\(289\) | 13.2812 | + | 9.64932i | 0.781244 | + | 0.567607i | ||||
\(290\) | 1.38197 | + | 4.25325i | 0.0811518 | + | 0.249760i | ||||
\(291\) | −41.7426 | − | 30.3278i | −2.44700 | − | 1.77785i | ||||
\(292\) | −4.23607 | + | 3.07768i | −0.247897 | + | 0.180108i | ||||
\(293\) | −0.145898 | + | 0.449028i | −0.00852345 | + | 0.0262325i | −0.955228 | − | 0.295871i | \(-0.904390\pi\) |
0.946704 | + | 0.322104i | \(0.104390\pi\) | |||||||
\(294\) | −29.4164 | + | 21.3723i | −1.71560 | + | 1.24646i | ||||
\(295\) | −1.80902 | + | 1.31433i | −0.105325 | + | 0.0765231i | ||||
\(296\) | 1.38197 | − | 4.25325i | 0.0803251 | − | 0.247215i | ||||
\(297\) | 23.4164 | − | 17.0130i | 1.35876 | − | 0.987195i | ||||
\(298\) | −13.0902 | − | 9.51057i | −0.758293 | − | 0.550932i | ||||
\(299\) | −5.70820 | − | 17.5680i | −0.330114 | − | 1.01599i | ||||
\(300\) | −6.47214 | − | 4.70228i | −0.373669 | − | 0.271486i | ||||
\(301\) | 0.0901699 | − | 0.277515i | 0.00519731 | − | 0.0159957i | ||||
\(302\) | −7.09017 | + | 21.8213i | −0.407993 | + | 1.25567i | ||||
\(303\) | 3.00000 | + | 9.23305i | 0.172345 | + | 0.530425i | ||||
\(304\) | 10.8541 | 0.622525 | ||||||||
\(305\) | 8.18034 | 0.468405 | ||||||||
\(306\) | 2.85410 | + | 8.78402i | 0.163158 | + | 0.502149i | ||||
\(307\) | 23.2254 | − | 16.8743i | 1.32555 | − | 0.963065i | 0.325700 | − | 0.945473i | \(-0.394400\pi\) |
0.999845 | − | 0.0175916i | \(-0.00559986\pi\) | |||||||
\(308\) | −0.236068 | − | 0.171513i | −0.0134512 | − | 0.00977288i | ||||
\(309\) | −20.1803 | −1.14802 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −29.1803 | −1.65467 | −0.827333 | − | 0.561712i | \(-0.810143\pi\) | ||||
−0.827333 | + | 0.561712i | \(0.810143\pi\) | |||||||
\(312\) | 18.9443 | + | 13.7638i | 1.07251 | + | 0.779223i | ||||
\(313\) | −13.5623 | + | 9.85359i | −0.766587 | + | 0.556958i | −0.900924 | − | 0.433978i | \(-0.857110\pi\) |
0.134337 | + | 0.990936i | \(0.457110\pi\) | |||||||
\(314\) | 10.4443 | + | 32.1442i | 0.589404 | + | 1.81400i | ||||
\(315\) | 1.76393 | 0.0993863 | ||||||||
\(316\) | −7.23607 | −0.407061 | ||||||||
\(317\) | 1.25329 | + | 3.85723i | 0.0703917 | + | 0.216643i | 0.980064 | − | 0.198684i | \(-0.0636669\pi\) |
−0.909672 | + | 0.415328i | \(0.863667\pi\) | |||||||
\(318\) | 16.9443 | − | 52.1491i | 0.950188 | − | 2.92438i | ||||
\(319\) | 1.70820 | − | 5.25731i | 0.0956411 | − | 0.294353i | ||||
\(320\) | −3.42705 | − | 2.48990i | −0.191578 | − | 0.139190i | ||||
\(321\) | −5.76393 | − | 17.7396i | −0.321711 | − | 0.990126i | ||||
\(322\) | −1.76393 | − | 1.28157i | −0.0983001 | − | 0.0714192i | ||||
\(323\) | 1.38197 | − | 1.00406i | 0.0768946 | − | 0.0558672i | ||||
\(324\) | 4.66312 | − | 14.3516i | 0.259062 | − | 0.797311i | ||||
\(325\) | −10.4721 | + | 7.60845i | −0.580890 | + | 0.422041i | ||||
\(326\) | −14.0172 | + | 10.1841i | −0.776342 | + | 0.564046i | ||||
\(327\) | 13.9443 | − | 42.9161i | 0.771120 | − | 2.37326i | ||||
\(328\) | 12.6631 | − | 9.20029i | 0.699204 | − | 0.508001i | ||||
\(329\) | −0.472136 | − | 0.343027i | −0.0260297 | − | 0.0189117i | ||||
\(330\) | −3.23607 | − | 9.95959i | −0.178140 | − | 0.548258i | ||||
\(331\) | −1.61803 | − | 1.17557i | −0.0889352 | − | 0.0646152i | 0.542429 | − | 0.840102i | \(-0.317505\pi\) |
−0.631364 | + | 0.775486i | \(0.717505\pi\) | |||||||
\(332\) | −2.85410 | + | 8.78402i | −0.156639 | + | 0.482086i | ||||
\(333\) | −4.61803 | + | 14.2128i | −0.253067 | + | 0.778859i | ||||
\(334\) | −3.23607 | − | 9.95959i | −0.177070 | − | 0.544965i | ||||
\(335\) | 8.00000 | 0.437087 | ||||||||
\(336\) | 3.70820 | 0.202299 | ||||||||
\(337\) | −4.56231 | − | 14.0413i | −0.248525 | − | 0.764880i | −0.995037 | − | 0.0995083i | \(-0.968273\pi\) |
0.746512 | − | 0.665372i | \(-0.231727\pi\) | |||||||
\(338\) | 3.30902 | − | 2.40414i | 0.179987 | − | 0.130768i | ||||
\(339\) | 9.09017 | + | 6.60440i | 0.493710 | + | 0.358702i | ||||
\(340\) | 0.472136 | 0.0256052 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −27.0344 | −1.46186 | ||||||||
\(343\) | 2.66312 | + | 1.93487i | 0.143795 | + | 0.104473i | ||||
\(344\) | 2.23607 | − | 1.62460i | 0.120561 | − | 0.0875925i | ||||
\(345\) | −5.70820 | − | 17.5680i | −0.307319 | − | 0.945832i | ||||
\(346\) | 4.76393 | 0.256111 | ||||||||
\(347\) | 24.1803 | 1.29807 | 0.649034 | − | 0.760759i | \(-0.275173\pi\) | ||||
0.649034 | + | 0.760759i | \(0.275173\pi\) | |||||||
\(348\) | −1.70820 | − | 5.25731i | −0.0915693 | − | 0.281821i | ||||
\(349\) | −2.43769 | + | 7.50245i | −0.130487 | + | 0.401597i | −0.994861 | − | 0.101252i | \(-0.967715\pi\) |
0.864374 | + | 0.502849i | \(0.167715\pi\) | |||||||
\(350\) | −0.472136 | + | 1.45309i | −0.0252367 | + | 0.0776707i | ||||
\(351\) | −37.8885 | − | 27.5276i | −2.02234 | − | 1.46932i | ||||
\(352\) | −2.09017 | − | 6.43288i | −0.111406 | − | 0.342874i | ||||
\(353\) | −6.00000 | − | 4.35926i | −0.319348 | − | 0.232020i | 0.416549 | − | 0.909113i | \(-0.363239\pi\) |
−0.735897 | + | 0.677093i | \(0.763239\pi\) | |||||||
\(354\) | 9.47214 | − | 6.88191i | 0.503438 | − | 0.365769i | ||||
\(355\) | −2.83688 | + | 8.73102i | −0.150566 | + | 0.463395i | ||||
\(356\) | −5.85410 | + | 4.25325i | −0.310267 | + | 0.225422i | ||||
\(357\) | 0.472136 | − | 0.343027i | 0.0249881 | − | 0.0181549i | ||||
\(358\) | 0.854102 | − | 2.62866i | 0.0451407 | − | 0.138929i | ||||
\(359\) | −17.9894 | + | 13.0700i | −0.949442 | + | 0.689810i | −0.950675 | − | 0.310189i | \(-0.899608\pi\) |
0.00123287 | + | 0.999999i | \(0.499608\pi\) | |||||||
\(360\) | 13.5172 | + | 9.82084i | 0.712420 | + | 0.517603i | ||||
\(361\) | −4.32624 | − | 13.3148i | −0.227697 | − | 0.700778i | ||||
\(362\) | 5.47214 | + | 3.97574i | 0.287609 | + | 0.208960i | ||||
\(363\) | 7.00000 | − | 21.5438i | 0.367405 | − | 1.13076i | ||||
\(364\) | −0.145898 | + | 0.449028i | −0.00764713 | + | 0.0235355i | ||||
\(365\) | 2.61803 | + | 8.05748i | 0.137034 | + | 0.421748i | ||||
\(366\) | −42.8328 | −2.23891 | ||||||||
\(367\) | 18.0000 | 0.939592 | 0.469796 | − | 0.882775i | \(-0.344327\pi\) | ||||
0.469796 | + | 0.882775i | \(0.344327\pi\) | |||||||
\(368\) | −8.56231 | − | 26.3521i | −0.446341 | − | 1.37370i | ||||
\(369\) | −42.3156 | + | 30.7441i | −2.20286 | + | 1.60047i | ||||
\(370\) | 2.61803 | + | 1.90211i | 0.136105 | + | 0.0988861i | ||||
\(371\) | −2.47214 | −0.128347 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 19.0000 | 0.983783 | 0.491891 | − | 0.870657i | \(-0.336306\pi\) | ||||
0.491891 | + | 0.870657i | \(0.336306\pi\) | |||||||
\(374\) | −2.00000 | − | 1.45309i | −0.103418 | − | 0.0751372i | ||||
\(375\) | −23.5623 | + | 17.1190i | −1.21675 | + | 0.884022i | ||||
\(376\) | −1.70820 | − | 5.25731i | −0.0880939 | − | 0.271125i | ||||
\(377\) | −8.94427 | −0.460653 | ||||||||
\(378\) | −5.52786 | −0.284323 | ||||||||
\(379\) | −0.652476 | − | 2.00811i | −0.0335154 | − | 0.103150i | 0.932899 | − | 0.360137i | \(-0.117270\pi\) |
−0.966415 | + | 0.256987i | \(0.917270\pi\) | |||||||
\(380\) | −0.427051 | + | 1.31433i | −0.0219073 | + | 0.0674236i | ||||
\(381\) | −12.4721 | + | 38.3853i | −0.638967 | + | 1.96654i | ||||
\(382\) | 25.1074 | + | 18.2416i | 1.28461 | + | 0.933321i | ||||
\(383\) | −7.38197 | − | 22.7194i | −0.377201 | − | 1.16090i | −0.941982 | − | 0.335664i | \(-0.891039\pi\) |
0.564781 | − | 0.825241i | \(-0.308961\pi\) | |||||||
\(384\) | 35.6525 | + | 25.9030i | 1.81938 | + | 1.32186i | ||||
\(385\) | −0.381966 | + | 0.277515i | −0.0194668 | + | 0.0141435i | ||||
\(386\) | 1.73607 | − | 5.34307i | 0.0883635 | − | 0.271955i | ||||
\(387\) | −7.47214 | + | 5.42882i | −0.379830 | + | 0.275963i | ||||
\(388\) | 7.97214 | − | 5.79210i | 0.404724 | − | 0.294049i | ||||
\(389\) | −5.52786 | + | 17.0130i | −0.280274 | + | 0.862594i | 0.707502 | + | 0.706712i | \(0.249822\pi\) |
−0.987776 | + | 0.155883i | \(0.950178\pi\) | |||||||
\(390\) | −13.7082 | + | 9.95959i | −0.694142 | + | 0.504324i | ||||
\(391\) | −3.52786 | − | 2.56314i | −0.178412 | − | 0.129624i | ||||
\(392\) | 4.79837 | + | 14.7679i | 0.242354 | + | 0.745890i | ||||
\(393\) | 31.4164 | + | 22.8254i | 1.58475 | + | 1.15139i | ||||
\(394\) | 5.70820 | − | 17.5680i | 0.287575 | − | 0.885065i | ||||
\(395\) | −3.61803 | + | 11.1352i | −0.182043 | + | 0.560271i | ||||
\(396\) | 2.85410 | + | 8.78402i | 0.143424 | + | 0.441414i | ||||
\(397\) | −7.00000 | −0.351320 | −0.175660 | − | 0.984451i | \(-0.556206\pi\) | ||||
−0.175660 | + | 0.984451i | \(0.556206\pi\) | |||||||
\(398\) | −30.6525 | −1.53647 | ||||||||
\(399\) | 0.527864 | + | 1.62460i | 0.0264263 | + | 0.0813317i | ||||
\(400\) | −15.7082 | + | 11.4127i | −0.785410 | + | 0.570634i | ||||
\(401\) | −30.8885 | − | 22.4418i | −1.54250 | − | 1.12069i | −0.948743 | − | 0.316048i | \(-0.897644\pi\) |
−0.593757 | − | 0.804644i | \(-0.702356\pi\) | |||||||
\(402\) | −41.8885 | −2.08921 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −1.85410 | −0.0922450 | ||||||||
\(405\) | −19.7533 | − | 14.3516i | −0.981549 | − | 0.713137i | ||||
\(406\) | −0.854102 | + | 0.620541i | −0.0423884 | + | 0.0307970i | ||||
\(407\) | −1.23607 | − | 3.80423i | −0.0612696 | − | 0.188568i | ||||
\(408\) | 5.52786 | 0.273670 | ||||||||
\(409\) | −3.81966 | −0.188870 | −0.0944350 | − | 0.995531i | \(-0.530104\pi\) | ||||
−0.0944350 | + | 0.995531i | \(0.530104\pi\) | |||||||
\(410\) | 3.50000 | + | 10.7719i | 0.172853 | + | 0.531986i | ||||
\(411\) | −6.29180 | + | 19.3642i | −0.310351 | + | 0.955163i | ||||
\(412\) | 1.19098 | − | 3.66547i | 0.0586755 | − | 0.180585i | ||||
\(413\) | −0.427051 | − | 0.310271i | −0.0210138 | − | 0.0152674i | ||||
\(414\) | 21.3262 | + | 65.6354i | 1.04813 | + | 3.22580i | ||||
\(415\) | 12.0902 | + | 8.78402i | 0.593483 | + | 0.431191i | ||||
\(416\) | −8.85410 | + | 6.43288i | −0.434108 | + | 0.315398i | ||||
\(417\) | −13.4164 | + | 41.2915i | −0.657004 | + | 2.02205i | ||||
\(418\) | 5.85410 | − | 4.25325i | 0.286333 | − | 0.208033i | ||||
\(419\) | 8.19098 | − | 5.95110i | 0.400156 | − | 0.290730i | −0.369449 | − | 0.929251i | \(-0.620453\pi\) |
0.769604 | + | 0.638521i | \(0.220453\pi\) | |||||||
\(420\) | −0.145898 | + | 0.449028i | −0.00711910 | + | 0.0219103i | ||||
\(421\) | −23.7533 | + | 17.2578i | −1.15766 | + | 0.841092i | −0.989481 | − | 0.144663i | \(-0.953790\pi\) |
−0.168184 | + | 0.985756i | \(0.553790\pi\) | |||||||
\(422\) | −30.3435 | − | 22.0458i | −1.47710 | − | 1.07317i | ||||
\(423\) | 5.70820 | + | 17.5680i | 0.277542 | + | 0.854188i | ||||
\(424\) | −18.9443 | − | 13.7638i | −0.920015 | − | 0.668430i | ||||
\(425\) | −0.944272 | + | 2.90617i | −0.0458039 | + | 0.140970i | ||||
\(426\) | 14.8541 | − | 45.7162i | 0.719684 | − | 2.21496i | ||||
\(427\) | 0.596748 | + | 1.83660i | 0.0288786 | + | 0.0888793i | ||||
\(428\) | 3.56231 | 0.172191 | ||||||||
\(429\) | 20.9443 | 1.01120 | ||||||||
\(430\) | 0.618034 | + | 1.90211i | 0.0298042 | + | 0.0917280i | ||||
\(431\) | −9.70820 | + | 7.05342i | −0.467628 | + | 0.339751i | −0.796516 | − | 0.604617i | \(-0.793326\pi\) |
0.328888 | + | 0.944369i | \(0.393326\pi\) | |||||||
\(432\) | −56.8328 | − | 41.2915i | −2.73437 | − | 1.98664i | ||||
\(433\) | 10.1803 | 0.489236 | 0.244618 | − | 0.969620i | \(-0.421337\pi\) | ||||
0.244618 | + | 0.969620i | \(0.421337\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −8.94427 | −0.428845 | ||||||||
\(436\) | 6.97214 | + | 5.06555i | 0.333905 | + | 0.242596i | ||||
\(437\) | 10.3262 | − | 7.50245i | 0.493971 | − | 0.358891i | ||||
\(438\) | −13.7082 | − | 42.1895i | −0.655003 | − | 2.01589i | ||||
\(439\) | −1.18034 | −0.0563345 | −0.0281673 | − | 0.999603i | \(-0.508967\pi\) | ||||
−0.0281673 | + | 0.999603i | \(0.508967\pi\) | |||||||
\(440\) | −4.47214 | −0.213201 | ||||||||
\(441\) | −16.0344 | − | 49.3489i | −0.763545 | − | 2.34995i | ||||
\(442\) | −1.23607 | + | 3.80423i | −0.0587938 | + | 0.180949i | ||||
\(443\) | 9.48936 | − | 29.2052i | 0.450853 | − | 1.38758i | −0.425083 | − | 0.905155i | \(-0.639755\pi\) |
0.875936 | − | 0.482428i | \(-0.160245\pi\) | |||||||
\(444\) | −3.23607 | − | 2.35114i | −0.153577 | − | 0.111580i | ||||
\(445\) | 3.61803 | + | 11.1352i | 0.171511 | + | 0.527857i | ||||
\(446\) | −5.23607 | − | 3.80423i | −0.247935 | − | 0.180135i | ||||
\(447\) | 26.1803 | − | 19.0211i | 1.23829 | − | 0.899669i | ||||
\(448\) | 0.309017 | − | 0.951057i | 0.0145997 | − | 0.0449332i | ||||
\(449\) | 25.3262 | − | 18.4006i | 1.19522 | − | 0.868377i | 0.201413 | − | 0.979506i | \(-0.435447\pi\) |
0.993806 | + | 0.111129i | \(0.0354466\pi\) | |||||||
\(450\) | 39.1246 | − | 28.4257i | 1.84435 | − | 1.34000i | ||||
\(451\) | 4.32624 | − | 13.3148i | 0.203715 | − | 0.626969i | ||||
\(452\) | −1.73607 | + | 1.26133i | −0.0816578 | + | 0.0593278i | ||||
\(453\) | −37.1246 | − | 26.9726i | −1.74427 | − | 1.26728i | ||||
\(454\) | −3.23607 | − | 9.95959i | −0.151876 | − | 0.467427i | ||||
\(455\) | 0.618034 | + | 0.449028i | 0.0289739 | + | 0.0210508i | ||||
\(456\) | −5.00000 | + | 15.3884i | −0.234146 | + | 0.720629i | ||||
\(457\) | −0.944272 | + | 2.90617i | −0.0441712 | + | 0.135945i | −0.970710 | − | 0.240254i | \(-0.922769\pi\) |
0.926539 | + | 0.376199i | \(0.122769\pi\) | |||||||
\(458\) | −6.70820 | − | 20.6457i | −0.313454 | − | 0.964712i | ||||
\(459\) | −11.0557 | −0.516037 | ||||||||
\(460\) | 3.52786 | 0.164488 | ||||||||
\(461\) | 10.6180 | + | 32.6789i | 0.494531 | + | 1.52201i | 0.817686 | + | 0.575664i | \(0.195256\pi\) |
−0.323155 | + | 0.946346i | \(0.604744\pi\) | |||||||
\(462\) | 2.00000 | − | 1.45309i | 0.0930484 | − | 0.0676036i | ||||
\(463\) | 2.09017 | + | 1.51860i | 0.0971384 | + | 0.0705752i | 0.635294 | − | 0.772270i | \(-0.280879\pi\) |
−0.538156 | + | 0.842845i | \(0.680879\pi\) | |||||||
\(464\) | −13.4164 | −0.622841 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 29.0344 | 1.34499 | ||||||||
\(467\) | −3.80902 | − | 2.76741i | −0.176260 | − | 0.128061i | 0.496157 | − | 0.868233i | \(-0.334744\pi\) |
−0.672417 | + | 0.740172i | \(0.734744\pi\) | |||||||
\(468\) | 12.0902 | − | 8.78402i | 0.558868 | − | 0.406042i | ||||
\(469\) | 0.583592 | + | 1.79611i | 0.0269478 | + | 0.0829367i | ||||
\(470\) | 4.00000 | 0.184506 | ||||||||
\(471\) | −67.5967 | −3.11469 | ||||||||
\(472\) | −1.54508 | − | 4.75528i | −0.0711183 | − | 0.218880i | ||||
\(473\) | 0.763932 | − | 2.35114i | 0.0351256 | − | 0.108106i | ||||
\(474\) | 18.9443 | − | 58.3045i | 0.870139 | − | 2.67801i | ||||
\(475\) | −7.23607 | − | 5.25731i | −0.332014 | − | 0.241222i | ||||
\(476\) | 0.0344419 | + | 0.106001i | 0.00157864 | + | 0.00485855i | ||||
\(477\) | 63.3050 | + | 45.9937i | 2.89853 | + | 2.10591i | ||||
\(478\) | 15.3262 | − | 11.1352i | 0.701006 | − | 0.509311i | ||||
\(479\) | 7.19756 | − | 22.1518i | 0.328865 | − | 1.01214i | −0.640801 | − | 0.767707i | \(-0.721398\pi\) |
0.969666 | − | 0.244435i | \(-0.0786025\pi\) | |||||||
\(480\) | −8.85410 | + | 6.43288i | −0.404133 | + | 0.293620i | ||||
\(481\) | −5.23607 | + | 3.80423i | −0.238744 | + | 0.173458i | ||||
\(482\) | 7.18034 | − | 22.0988i | 0.327056 | − | 1.00657i | ||||
\(483\) | 3.52786 | − | 2.56314i | 0.160523 | − | 0.116627i | ||||
\(484\) | 3.50000 | + | 2.54290i | 0.159091 | + | 0.115586i | ||||
\(485\) | −4.92705 | − | 15.1639i | −0.223726 | − | 0.688557i | ||||
\(486\) | 46.5967 | + | 33.8545i | 2.11367 | + | 1.53567i | ||||
\(487\) | −5.94427 | + | 18.2946i | −0.269361 | + | 0.829007i | 0.721296 | + | 0.692627i | \(0.243547\pi\) |
−0.990657 | + | 0.136380i | \(0.956453\pi\) | |||||||
\(488\) | −5.65248 | + | 17.3965i | −0.255876 | + | 0.787504i | ||||
\(489\) | −10.7082 | − | 32.9565i | −0.484242 | − | 1.49034i | ||||
\(490\) | −11.2361 | −0.507594 | ||||||||
\(491\) | 4.36068 | 0.196795 | 0.0983974 | − | 0.995147i | \(-0.468628\pi\) | ||||
0.0983974 | + | 0.995147i | \(0.468628\pi\) | |||||||
\(492\) | −4.32624 | − | 13.3148i | −0.195042 | − | 0.600277i | ||||
\(493\) | −1.70820 | + | 1.24108i | −0.0769336 | + | 0.0558956i | ||||
\(494\) | −9.47214 | − | 6.88191i | −0.426172 | − | 0.309632i | ||||
\(495\) | 14.9443 | 0.671695 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −2.16718 | −0.0972115 | ||||||||
\(498\) | −63.3050 | − | 45.9937i | −2.83676 | − | 2.06103i | ||||
\(499\) | 5.32624 | − | 3.86974i | 0.238435 | − | 0.173233i | −0.462151 | − | 0.886801i | \(-0.652922\pi\) |
0.700586 | + | 0.713568i | \(0.252922\pi\) | |||||||
\(500\) | −1.71885 | − | 5.29007i | −0.0768692 | − | 0.236579i | ||||
\(501\) | 20.9443 | 0.935721 | ||||||||
\(502\) | −2.94427 | −0.131409 | ||||||||
\(503\) | 9.16312 | + | 28.2012i | 0.408563 | + | 1.25743i | 0.917883 | + | 0.396851i | \(0.129897\pi\) |
−0.509320 | + | 0.860577i | \(0.670103\pi\) | |||||||
\(504\) | −1.21885 | + | 3.75123i | −0.0542918 | + | 0.167093i | ||||
\(505\) | −0.927051 | + | 2.85317i | −0.0412532 | + | 0.126964i | ||||
\(506\) | −14.9443 | − | 10.8576i | −0.664354 | − | 0.482681i | ||||
\(507\) | 2.52786 | + | 7.77997i | 0.112266 | + | 0.345520i | ||||
\(508\) | −6.23607 | − | 4.53077i | −0.276681 | − | 0.201020i | ||||
\(509\) | −23.9443 | + | 17.3965i | −1.06131 | + | 0.771088i | −0.974331 | − | 0.225122i | \(-0.927722\pi\) |
−0.0869807 | + | 0.996210i | \(0.527722\pi\) | |||||||
\(510\) | −1.23607 | + | 3.80423i | −0.0547340 | + | 0.168454i | ||||
\(511\) | −1.61803 | + | 1.17557i | −0.0715776 | + | 0.0520042i | ||||
\(512\) | 4.28115 | − | 3.11044i | 0.189202 | − | 0.137463i | ||||
\(513\) | 10.0000 | − | 30.7768i | 0.441511 | − | 1.35883i | ||||
\(514\) | −2.54508 | + | 1.84911i | −0.112259 | + | 0.0815609i | ||||
\(515\) | −5.04508 | − | 3.66547i | −0.222313 | − | 0.161520i | ||||
\(516\) | −0.763932 | − | 2.35114i | −0.0336302 | − | 0.103503i | ||||
\(517\) | −4.00000 | − | 2.90617i | −0.175920 | − | 0.127813i | ||||
\(518\) | −0.236068 | + | 0.726543i | −0.0103722 | + | 0.0319224i | ||||
\(519\) | −2.94427 | + | 9.06154i | −0.129239 | + | 0.397757i | ||||
\(520\) | 2.23607 | + | 6.88191i | 0.0980581 | + | 0.301792i | ||||
\(521\) | 2.00000 | 0.0876216 | 0.0438108 | − | 0.999040i | \(-0.486050\pi\) | ||||
0.0438108 | + | 0.999040i | \(0.486050\pi\) | |||||||
\(522\) | 33.4164 | 1.46260 | ||||||||
\(523\) | −5.47214 | − | 16.8415i | −0.239280 | − | 0.736427i | −0.996525 | − | 0.0832966i | \(-0.973455\pi\) |
0.757245 | − | 0.653131i | \(-0.226545\pi\) | |||||||
\(524\) | −6.00000 | + | 4.35926i | −0.262111 | + | 0.190435i | ||||
\(525\) | −2.47214 | − | 1.79611i | −0.107893 | − | 0.0783888i | ||||
\(526\) | −37.5967 | −1.63930 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 31.4164 | 1.36722 | ||||||||
\(529\) | −7.75329 | − | 5.63309i | −0.337100 | − | 0.244917i | ||||
\(530\) | 13.7082 | − | 9.95959i | 0.595446 | − | 0.432617i | ||||
\(531\) | 5.16312 | + | 15.8904i | 0.224060 | + | 0.689587i | ||||
\(532\) | −0.326238 | −0.0141442 | ||||||||
\(533\) | −22.6525 | −0.981188 | ||||||||
\(534\) | −18.9443 | − | 58.3045i | −0.819799 | − | 2.52308i | ||||
\(535\) | 1.78115 | − | 5.48183i | 0.0770060 | − | 0.237000i | ||||
\(536\) | −5.52786 | + | 17.0130i | −0.238767 | + | 0.734850i | ||||
\(537\) | 4.47214 | + | 3.24920i | 0.192987 | + | 0.140213i | ||||
\(538\) | −5.52786 | − | 17.0130i | −0.238323 | − | 0.733483i | ||||
\(539\) | 11.2361 | + | 8.16348i | 0.483972 | + | 0.351626i | ||||
\(540\) | 7.23607 | − | 5.25731i | 0.311391 | − | 0.226239i | ||||
\(541\) | −7.83688 | + | 24.1194i | −0.336934 | + | 1.03698i | 0.628828 | + | 0.777545i | \(0.283535\pi\) |
−0.965762 | + | 0.259431i | \(0.916465\pi\) | |||||||
\(542\) | 18.5623 | − | 13.4863i | 0.797319 | − | 0.579286i | ||||
\(543\) | −10.9443 | + | 7.95148i | −0.469664 | + | 0.341231i | ||||
\(544\) | −0.798374 | + | 2.45714i | −0.0342300 | + | 0.105349i | ||||
\(545\) | 11.2812 | − | 8.19624i | 0.483231 | − | 0.351088i | ||||
\(546\) | −3.23607 | − | 2.35114i | −0.138491 | − | 0.100620i | ||||
\(547\) | −3.74671 | − | 11.5312i | −0.160198 | − | 0.493038i | 0.838453 | − | 0.544975i | \(-0.183461\pi\) |
−0.998650 | + | 0.0519364i | \(0.983461\pi\) | |||||||
\(548\) | −3.14590 | − | 2.28563i | −0.134386 | − | 0.0976372i | ||||
\(549\) | 18.8885 | − | 58.1330i | 0.806143 | − | 2.48105i | ||||
\(550\) | −4.00000 | + | 12.3107i | −0.170561 | + | 0.524931i | ||||
\(551\) | −1.90983 | − | 5.87785i | −0.0813615 | − | 0.250405i | ||||
\(552\) | 41.3050 | 1.75806 | ||||||||
\(553\) | −2.76393 | −0.117534 | ||||||||
\(554\) | −6.32624 | − | 19.4702i | −0.268776 | − | 0.827208i | ||||
\(555\) | −5.23607 | + | 3.80423i | −0.222259 | + | 0.161480i | ||||
\(556\) | −6.70820 | − | 4.87380i | −0.284491 | − | 0.206695i | ||||
\(557\) | −12.0000 | −0.508456 | −0.254228 | − | 0.967144i | \(-0.581821\pi\) | ||||
−0.254228 | + | 0.967144i | \(0.581821\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.00000 | −0.169182 | ||||||||
\(560\) | 0.927051 | + | 0.673542i | 0.0391751 | + | 0.0284623i | ||||
\(561\) | 4.00000 | − | 2.90617i | 0.168880 | − | 0.122699i | ||||
\(562\) | 8.50000 | + | 26.1603i | 0.358551 | + | 1.10351i | ||||
\(563\) | 27.5410 | 1.16072 | 0.580358 | − | 0.814362i | \(-0.302913\pi\) | ||||
0.580358 | + | 0.814362i | \(0.302913\pi\) | |||||||
\(564\) | −4.94427 | −0.208191 | ||||||||
\(565\) | 1.07295 | + | 3.30220i | 0.0451393 | + | 0.138924i | ||||
\(566\) | −6.94427 | + | 21.3723i | −0.291890 | + | 0.898344i | ||||
\(567\) | 1.78115 | − | 5.48183i | 0.0748014 | − | 0.230215i | ||||
\(568\) | −16.6074 | − | 12.0660i | −0.696831 | − | 0.506277i | ||||
\(569\) | 1.70820 | + | 5.25731i | 0.0716116 | + | 0.220398i | 0.980456 | − | 0.196737i | \(-0.0630344\pi\) |
−0.908845 | + | 0.417135i | \(0.863034\pi\) | |||||||
\(570\) | −9.47214 | − | 6.88191i | −0.396744 | − | 0.288251i | ||||
\(571\) | −22.7984 | + | 16.5640i | −0.954082 | + | 0.693181i | −0.951769 | − | 0.306816i | \(-0.900736\pi\) |
−0.00231340 | + | 0.999997i | \(0.500736\pi\) | |||||||
\(572\) | −1.23607 | + | 3.80423i | −0.0516826 | + | 0.159063i | ||||
\(573\) | −50.2148 | + | 36.4832i | −2.09775 | + | 1.52411i | ||||
\(574\) | −2.16312 | + | 1.57160i | −0.0902868 | + | 0.0655972i | ||||
\(575\) | −7.05573 | + | 21.7153i | −0.294244 | + | 0.905591i | ||||
\(576\) | −25.6074 | + | 18.6049i | −1.06697 | + | 0.775202i | ||||
\(577\) | 23.3262 | + | 16.9475i | 0.971084 | + | 0.705534i | 0.955698 | − | 0.294348i | \(-0.0951024\pi\) |
0.0153856 | + | 0.999882i | \(0.495102\pi\) | |||||||
\(578\) | −8.20820 | − | 25.2623i | −0.341416 | − | 1.05077i | ||||
\(579\) | 9.09017 | + | 6.60440i | 0.377775 | + | 0.274469i | ||||
\(580\) | 0.527864 | − | 1.62460i | 0.0219184 | − | 0.0674578i | ||||
\(581\) | −1.09017 | + | 3.35520i | −0.0452279 | + | 0.139197i | ||||
\(582\) | 25.7984 | + | 79.3992i | 1.06938 | + | 3.29120i | ||||
\(583\) | −20.9443 | −0.867423 | ||||||||
\(584\) | −18.9443 | −0.783920 | ||||||||
\(585\) | −7.47214 | − | 22.9969i | −0.308935 | − | 0.950804i | ||||
\(586\) | 0.618034 | − | 0.449028i | 0.0255307 | − | 0.0185492i | ||||
\(587\) | 5.23607 | + | 3.80423i | 0.216116 | + | 0.157017i | 0.690576 | − | 0.723259i | \(-0.257357\pi\) |
−0.474461 | + | 0.880277i | \(0.657357\pi\) | |||||||
\(588\) | 13.8885 | 0.572754 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 3.61803 | 0.148952 | ||||||||
\(591\) | 29.8885 | + | 21.7153i | 1.22945 | + | 0.893248i | ||||
\(592\) | −7.85410 | + | 5.70634i | −0.322802 | + | 0.234529i | ||||
\(593\) | −2.01722 | − | 6.20837i | −0.0828373 | − | 0.254947i | 0.901056 | − | 0.433702i | \(-0.142793\pi\) |
−0.983894 | + | 0.178755i | \(0.942793\pi\) | |||||||
\(594\) | −46.8328 | −1.92157 | ||||||||
\(595\) | 0.180340 | 0.00739321 | ||||||||
\(596\) | 1.90983 | + | 5.87785i | 0.0782297 | + | 0.240766i | ||||
\(597\) | 18.9443 | − | 58.3045i | 0.775337 | − | 2.38624i | ||||
\(598\) | −9.23607 | + | 28.4257i | −0.377691 | + | 1.16241i | ||||
\(599\) | 11.8090 | + | 8.57975i | 0.482503 | + | 0.350559i | 0.802294 | − | 0.596929i | \(-0.203613\pi\) |
−0.319791 | + | 0.947488i | \(0.603613\pi\) | |||||||
\(600\) | −8.94427 | − | 27.5276i | −0.365148 | − | 1.12381i | ||||
\(601\) | −24.7082 | − | 17.9516i | −1.00787 | − | 0.732259i | −0.0441077 | − | 0.999027i | \(-0.514044\pi\) |
−0.963761 | + | 0.266767i | \(0.914044\pi\) | |||||||
\(602\) | −0.381966 | + | 0.277515i | −0.0155678 | + | 0.0113106i | ||||
\(603\) | 18.4721 | − | 56.8514i | 0.752244 | − | 2.31517i | ||||
\(604\) | 7.09017 | − | 5.15131i | 0.288495 | − | 0.209604i | ||||
\(605\) | 5.66312 | − | 4.11450i | 0.230239 | − | 0.167278i | ||||
\(606\) | 4.85410 | − | 14.9394i | 0.197184 | − | 0.606871i | ||||
\(607\) | −18.1803 | + | 13.2088i | −0.737917 | + | 0.536128i | −0.892058 | − | 0.451921i | \(-0.850739\pi\) |
0.154141 | + | 0.988049i | \(0.450739\pi\) | |||||||
\(608\) | −6.11803 | − | 4.44501i | −0.248119 | − | 0.180269i | ||||
\(609\) | −0.652476 | − | 2.00811i | −0.0264397 | − | 0.0813729i | ||||
\(610\) | −10.7082 | − | 7.77997i | −0.433563 | − | 0.315002i | ||||
\(611\) | −2.47214 | + | 7.60845i | −0.100012 | + | 0.307805i | ||||
\(612\) | 1.09017 | − | 3.35520i | 0.0440675 | − | 0.135626i | ||||
\(613\) | −13.5623 | − | 41.7405i | −0.547776 | − | 1.68588i | −0.714296 | − | 0.699844i | \(-0.753253\pi\) |
0.166519 | − | 0.986038i | \(-0.446747\pi\) | |||||||
\(614\) | −46.4508 | −1.87460 | ||||||||
\(615\) | −22.6525 | −0.913436 | ||||||||
\(616\) | −0.326238 | − | 1.00406i | −0.0131445 | − | 0.0404546i | ||||
\(617\) | −26.2705 | + | 19.0866i | −1.05761 | + | 0.768399i | −0.973645 | − | 0.228069i | \(-0.926759\pi\) |
−0.0839660 | + | 0.996469i | \(0.526759\pi\) | |||||||
\(618\) | 26.4164 | + | 19.1926i | 1.06262 | + | 0.772041i | ||||
\(619\) | 6.18034 | 0.248409 | 0.124204 | − | 0.992257i | \(-0.460362\pi\) | ||||
0.124204 | + | 0.992257i | \(0.460362\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −82.6099 | −3.31502 | ||||||||
\(622\) | 38.1976 | + | 27.7522i | 1.53158 | + | 1.11276i | ||||
\(623\) | −2.23607 | + | 1.62460i | −0.0895862 | + | 0.0650882i | ||||
\(624\) | −15.7082 | − | 48.3449i | −0.628831 | − | 1.93534i | ||||
\(625\) | 11.0000 | 0.440000 | ||||||||
\(626\) | 27.1246 | 1.08412 | ||||||||
\(627\) | 4.47214 | + | 13.7638i | 0.178600 | + | 0.549674i | ||||
\(628\) | 3.98936 | − | 12.2780i | 0.159193 | − | 0.489945i | ||||
\(629\) | −0.472136 | + | 1.45309i | −0.0188253 | + | 0.0579383i | ||||
\(630\) | −2.30902 | − | 1.67760i | −0.0919934 | − | 0.0668371i | ||||
\(631\) | 10.6180 | + | 32.6789i | 0.422697 | + | 1.30093i | 0.905182 | + | 0.425024i | \(0.139734\pi\) |
−0.482485 | + | 0.875904i | \(0.660266\pi\) | |||||||
\(632\) | −21.1803 | − | 15.3884i | −0.842509 | − | 0.612118i | ||||
\(633\) | 60.6869 | − | 44.0916i | 2.41209 | − | 1.75248i | ||||
\(634\) | 2.02786 | − | 6.24112i | 0.0805368 | − | 0.247867i | ||||
\(635\) | −10.0902 | + | 7.33094i | −0.400416 | + | 0.290919i | ||||
\(636\) | −16.9443 | + | 12.3107i | −0.671884 | + | 0.488152i | ||||
\(637\) | 6.94427 | − | 21.3723i | 0.275142 | − | 0.846800i | ||||
\(638\) | −7.23607 | + | 5.25731i | −0.286479 | + | 0.208139i | ||||
\(639\) | 55.4959 | + | 40.3202i | 2.19539 | + | 1.59504i | ||||
\(640\) | 4.20820 | + | 12.9515i | 0.166344 | + | 0.511954i | ||||
\(641\) | −9.70820 | − | 7.05342i | −0.383451 | − | 0.278593i | 0.379316 | − | 0.925267i | \(-0.376159\pi\) |
−0.762767 | + | 0.646674i | \(0.776159\pi\) | |||||||
\(642\) | −9.32624 | + | 28.7032i | −0.368077 | + | 1.13283i | ||||
\(643\) | 6.03444 | − | 18.5721i | 0.237975 | − | 0.732412i | −0.758738 | − | 0.651396i | \(-0.774184\pi\) |
0.996713 | − | 0.0810159i | \(-0.0258165\pi\) | |||||||
\(644\) | 0.257354 | + | 0.792055i | 0.0101412 | + | 0.0312113i | ||||
\(645\) | −4.00000 | −0.157500 | ||||||||
\(646\) | −2.76393 | −0.108745 | ||||||||
\(647\) | −0.291796 | − | 0.898056i | −0.0114717 | − | 0.0353062i | 0.945157 | − | 0.326617i | \(-0.105909\pi\) |
−0.956629 | + | 0.291311i | \(0.905909\pi\) | |||||||
\(648\) | 44.1697 | − | 32.0912i | 1.73515 | − | 1.26066i | ||||
\(649\) | −3.61803 | − | 2.62866i | −0.142020 | − | 0.103184i | ||||
\(650\) | 20.9443 | 0.821502 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.61803 | 0.259182 | ||||||||
\(653\) | 38.2705 | + | 27.8052i | 1.49764 | + | 1.08810i | 0.971309 | + | 0.237820i | \(0.0764329\pi\) |
0.526332 | + | 0.850279i | \(0.323567\pi\) | |||||||
\(654\) | −59.0689 | + | 42.9161i | −2.30978 | + | 1.67815i | ||||
\(655\) | 3.70820 | + | 11.4127i | 0.144892 | + | 0.445930i | ||||
\(656\) | −33.9787 | −1.32665 | ||||||||
\(657\) | 63.3050 | 2.46976 | ||||||||
\(658\) | 0.291796 | + | 0.898056i | 0.0113754 | + | 0.0350099i | ||||
\(659\) | 7.92705 | − | 24.3970i | 0.308794 | − | 0.950370i | −0.669440 | − | 0.742866i | \(-0.733466\pi\) |
0.978234 | − | 0.207504i | \(-0.0665341\pi\) | |||||||
\(660\) | −1.23607 | + | 3.80423i | −0.0481139 | + | 0.148079i | ||||
\(661\) | 0.517221 | + | 0.375783i | 0.0201176 | + | 0.0146163i | 0.597799 | − | 0.801646i | \(-0.296042\pi\) |
−0.577681 | + | 0.816263i | \(0.696042\pi\) | |||||||
\(662\) | 1.00000 | + | 3.07768i | 0.0388661 | + | 0.119618i | ||||
\(663\) | −6.47214 | − | 4.70228i | −0.251357 | − | 0.182622i | ||||
\(664\) | −27.0344 | + | 19.6417i | −1.04914 | + | 0.762245i | ||||
\(665\) | −0.163119 | + | 0.502029i | −0.00632548 | + | 0.0194678i | ||||
\(666\) | 19.5623 | − | 14.2128i | 0.758024 | − | 0.550737i | ||||
\(667\) | −12.7639 | + | 9.27354i | −0.494221 | + | 0.359073i | ||||
\(668\) | −1.23607 | + | 3.80423i | −0.0478249 | + | 0.147190i | ||||
\(669\) | 10.4721 | − | 7.60845i | 0.404876 | − | 0.294160i | ||||
\(670\) | −10.4721 | − | 7.60845i | −0.404574 | − | 0.293940i | ||||
\(671\) | 5.05573 | + | 15.5599i | 0.195174 | + | 0.600684i | ||||
\(672\) | −2.09017 | − | 1.51860i | −0.0806301 | − | 0.0585812i | ||||
\(673\) | −8.96556 | + | 27.5932i | −0.345597 | + | 1.06364i | 0.615667 | + | 0.788007i | \(0.288887\pi\) |
−0.961263 | + | 0.275631i | \(0.911113\pi\) | |||||||
\(674\) | −7.38197 | + | 22.7194i | −0.284343 | + | 0.875117i | ||||
\(675\) | 17.8885 | + | 55.0553i | 0.688530 | + | 2.11908i | ||||
\(676\) | −1.56231 | −0.0600887 | ||||||||
\(677\) | −46.7214 | −1.79565 | −0.897824 | − | 0.440355i | \(-0.854853\pi\) | ||||
−0.897824 | + | 0.440355i | \(0.854853\pi\) | |||||||
\(678\) | −5.61803 | − | 17.2905i | −0.215759 | − | 0.664039i | ||||
\(679\) | 3.04508 | − | 2.21238i | 0.116860 | − | 0.0849035i | ||||
\(680\) | 1.38197 | + | 1.00406i | 0.0529960 | + | 0.0385038i | ||||
\(681\) | 20.9443 | 0.802586 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 5.18034 | 0.198220 | 0.0991101 | − | 0.995076i | \(-0.468400\pi\) | ||||
0.0991101 | + | 0.995076i | \(0.468400\pi\) | |||||||
\(684\) | 8.35410 | + | 6.06961i | 0.319427 | + | 0.232077i | ||||
\(685\) | −5.09017 | + | 3.69822i | −0.194485 | + | 0.141302i | ||||
\(686\) | −1.64590 | − | 5.06555i | −0.0628407 | − | 0.193404i | ||||
\(687\) | 43.4164 | 1.65644 | ||||||||
\(688\) | −6.00000 | −0.228748 | ||||||||
\(689\) | 10.4721 | + | 32.2299i | 0.398957 | + | 1.22786i | ||||
\(690\) | −9.23607 | + | 28.4257i | −0.351611 | + | 1.08215i | ||||
\(691\) | 0.982779 | − | 3.02468i | 0.0373867 | − | 0.115064i | −0.930621 | − | 0.365983i | \(-0.880733\pi\) |
0.968008 | + | 0.250919i | \(0.0807327\pi\) | |||||||
\(692\) | −1.47214 | − | 1.06957i | −0.0559622 | − | 0.0406589i | ||||
\(693\) | 1.09017 | + | 3.35520i | 0.0414121 | + | 0.127453i | ||||
\(694\) | −31.6525 | − | 22.9969i | −1.20151 | − | 0.872949i | ||||
\(695\) | −10.8541 | + | 7.88597i | −0.411720 | + | 0.299132i | ||||
\(696\) | 6.18034 | − | 19.0211i | 0.234265 | − | 0.720994i | ||||
\(697\) | −4.32624 | + | 3.14320i | −0.163868 | + | 0.119057i | ||||
\(698\) | 10.3262 | − | 7.50245i | 0.390854 | − | 0.283972i | ||||
\(699\) | −17.9443 | + | 55.2268i | −0.678715 | + | 2.08887i | ||||
\(700\) | 0.472136 | − | 0.343027i | 0.0178451 | − | 0.0129652i | ||||
\(701\) | −5.66312 | − | 4.11450i | −0.213893 | − | 0.155402i | 0.475680 | − | 0.879618i | \(-0.342202\pi\) |
−0.689573 | + | 0.724216i | \(0.742202\pi\) | |||||||
\(702\) | 23.4164 | + | 72.0683i | 0.883795 | + | 2.72004i | ||||
\(703\) | −3.61803 | − | 2.62866i | −0.136457 | − | 0.0991416i | ||||
\(704\) | 2.61803 | − | 8.05748i | 0.0986709 | − | 0.303678i | ||||
\(705\) | −2.47214 | + | 7.60845i | −0.0931060 | + | 0.286551i | ||||
\(706\) | 3.70820 | + | 11.4127i | 0.139560 | + | 0.429522i | ||||
\(707\) | −0.708204 | −0.0266348 | ||||||||
\(708\) | −4.47214 | −0.168073 | ||||||||
\(709\) | 7.88854 | + | 24.2784i | 0.296260 | + | 0.911796i | 0.982795 | + | 0.184699i | \(0.0591310\pi\) |
−0.686535 | + | 0.727097i | \(0.740869\pi\) | |||||||
\(710\) | 12.0172 | − | 8.73102i | 0.450998 | − | 0.327669i | ||||
\(711\) | 70.7771 | + | 51.4226i | 2.65435 | + | 1.92850i | ||||
\(712\) | −26.1803 | −0.981150 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −0.944272 | −0.0353385 | ||||||||
\(715\) | 5.23607 | + | 3.80423i | 0.195818 | + | 0.142270i | ||||
\(716\) | −0.854102 | + | 0.620541i | −0.0319193 | + | 0.0231907i | ||||
\(717\) | 11.7082 | + | 36.0341i | 0.437251 | + | 1.34572i | ||||
\(718\) | 35.9787 | 1.34271 | ||||||||
\(719\) | −13.8197 | −0.515386 | −0.257693 | − | 0.966227i | \(-0.582962\pi\) | ||||
−0.257693 | + | 0.966227i | \(0.582962\pi\) | |||||||
\(720\) | −11.2082 | − | 34.4953i | −0.417705 | − | 1.28556i | ||||
\(721\) | 0.454915 | − | 1.40008i | 0.0169419 | − | 0.0521419i | ||||
\(722\) | −7.00000 | + | 21.5438i | −0.260513 | + | 0.801777i | ||||
\(723\) | 37.5967 | + | 27.3156i | 1.39824 | + | 1.01588i | ||||
\(724\) | −0.798374 | − | 2.45714i | −0.0296713 | − | 0.0913190i | ||||
\(725\) | 8.94427 | + | 6.49839i | 0.332182 | + | 0.241344i | ||||
\(726\) | −29.6525 | + | 21.5438i | −1.10051 | + | 0.799565i | ||||
\(727\) | −13.6697 | + | 42.0710i | −0.506981 | + | 1.56033i | 0.290434 | + | 0.956895i | \(0.406200\pi\) |
−0.797415 | + | 0.603432i | \(0.793800\pi\) | |||||||
\(728\) | −1.38197 | + | 1.00406i | −0.0512191 | + | 0.0372128i | ||||
\(729\) | −33.9336 | + | 24.6542i | −1.25680 | + | 0.913119i | ||||
\(730\) | 4.23607 | − | 13.0373i | 0.156784 | − | 0.482531i | ||||
\(731\) | −0.763932 | + | 0.555029i | −0.0282550 | + | 0.0205285i | ||||
\(732\) | 13.2361 | + | 9.61657i | 0.489219 | + | 0.355439i | ||||
\(733\) | 1.07295 | + | 3.30220i | 0.0396303 | + | 0.121969i | 0.968914 | − | 0.247396i | \(-0.0795750\pi\) |
−0.929284 | + | 0.369366i | \(0.879575\pi\) | |||||||
\(734\) | −23.5623 | − | 17.1190i | −0.869701 | − | 0.631874i | ||||
\(735\) | 6.94427 | − | 21.3723i | 0.256143 | − | 0.788328i | ||||
\(736\) | −5.96556 | + | 18.3601i | −0.219893 | + | 0.676762i | ||||
\(737\) | 4.94427 | + | 15.2169i | 0.182125 | + | 0.560522i | ||||
\(738\) | 84.6312 | 3.11532 | ||||||||
\(739\) | 6.18034 | 0.227347 | 0.113674 | − | 0.993518i | \(-0.463738\pi\) | ||||
0.113674 | + | 0.993518i | \(0.463738\pi\) | |||||||
\(740\) | −0.381966 | − | 1.17557i | −0.0140413 | − | 0.0432148i | ||||
\(741\) | 18.9443 | − | 13.7638i | 0.695935 | − | 0.505627i | ||||
\(742\) | 3.23607 | + | 2.35114i | 0.118800 | + | 0.0863131i | ||||
\(743\) | 50.1803 | 1.84094 | 0.920469 | − | 0.390815i | \(-0.127807\pi\) | ||||
0.920469 | + | 0.390815i | \(0.127807\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.0000 | 0.366372 | ||||||||
\(746\) | −24.8713 | − | 18.0701i | −0.910604 | − | 0.661592i | ||||
\(747\) | 90.3394 | − | 65.6354i | 3.30535 | − | 2.40147i | ||||
\(748\) | 0.291796 | + | 0.898056i | 0.0106691 | + | 0.0328362i | ||||
\(749\) | 1.36068 | 0.0497182 | ||||||||
\(750\) | 47.1246 | 1.72075 | ||||||||
\(751\) | −6.65654 | − | 20.4867i | −0.242901 | − | 0.747571i | −0.995975 | − | 0.0896355i | \(-0.971430\pi\) |
0.753074 | − | 0.657936i | \(-0.228570\pi\) | |||||||
\(752\) | −3.70820 | + | 11.4127i | −0.135224 | + | 0.416178i | ||||
\(753\) | 1.81966 | − | 5.60034i | 0.0663121 | − | 0.204088i | ||||
\(754\) | 11.7082 | + | 8.50651i | 0.426388 | + | 0.309789i | ||||
\(755\) | −4.38197 | − | 13.4863i | −0.159476 | − | 0.490817i | ||||
\(756\) | 1.70820 | + | 1.24108i | 0.0621268 | + | 0.0451377i | ||||
\(757\) | −7.00000 | + | 5.08580i | −0.254419 | + | 0.184846i | −0.707683 | − | 0.706530i | \(-0.750260\pi\) |
0.453264 | + | 0.891376i | \(0.350260\pi\) | |||||||
\(758\) | −1.05573 | + | 3.24920i | −0.0383458 | + | 0.118016i | ||||
\(759\) | 29.8885 | − | 21.7153i | 1.08489 | − | 0.788215i | ||||
\(760\) | −4.04508 | + | 2.93893i | −0.146731 | + | 0.106606i | ||||
\(761\) | 0.618034 | − | 1.90211i | 0.0224037 | − | 0.0689515i | −0.939230 | − | 0.343290i | \(-0.888459\pi\) |
0.961633 | + | 0.274338i | \(0.0884587\pi\) | |||||||
\(762\) | 52.8328 | − | 38.3853i | 1.91393 | − | 1.39055i | ||||
\(763\) | 2.66312 | + | 1.93487i | 0.0964114 | + | 0.0700470i | ||||
\(764\) | −3.66312 | − | 11.2739i | −0.132527 | − | 0.407876i | ||||
\(765\) | −4.61803 | − | 3.35520i | −0.166965 | − | 0.121307i | ||||
\(766\) | −11.9443 | + | 36.7607i | −0.431564 | + | 1.32822i | ||||
\(767\) | −2.23607 | + | 6.88191i | −0.0807397 | + | 0.248491i | ||||
\(768\) | −13.5623 | − | 41.7405i | −0.489388 | − | 1.50618i | ||||
\(769\) | −47.3607 | −1.70787 | −0.853935 | − | 0.520380i | \(-0.825790\pi\) | ||||
−0.853935 | + | 0.520380i | \(0.825790\pi\) | |||||||
\(770\) | 0.763932 | 0.0275302 | ||||||||
\(771\) | −1.94427 | − | 5.98385i | −0.0700212 | − | 0.215503i | ||||
\(772\) | −1.73607 | + | 1.26133i | −0.0624825 | + | 0.0453962i | ||||
\(773\) | 9.00000 | + | 6.53888i | 0.323708 | + | 0.235187i | 0.737756 | − | 0.675068i | \(-0.235886\pi\) |
−0.414048 | + | 0.910255i | \(0.635886\pi\) | |||||||
\(774\) | 14.9443 | 0.537161 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 35.6525 | 1.27985 | ||||||||
\(777\) | −1.23607 | − | 0.898056i | −0.0443437 | − | 0.0322176i | ||||
\(778\) | 23.4164 | − | 17.0130i | 0.839519 | − | 0.609946i | ||||
\(779\) | −4.83688 | − | 14.8864i | −0.173299 | − | 0.533360i | ||||
\(780\) | 6.47214 | 0.231740 | ||||||||
\(781\) | −18.3607 | −0.656997 | ||||||||
\(782\) | 2.18034 | + | 6.71040i | 0.0779688 | + | 0.239963i | ||||
\(783\) | −12.3607 | + | 38.0423i | −0.441735 | + | 1.35952i | ||||
\(784\) | 10.4164 | − | 32.0584i | 0.372015 | − | 1.14494i | ||||
\(785\) | −16.8992 | − | 12.2780i | −0.603158 | − | 0.438220i | ||||
\(786\) | −19.4164 | − | 59.7576i | −0.692560 | − | 2.13148i | ||||
\(787\) | −5.94427 | − | 4.31877i | −0.211890 | − | 0.153947i | 0.476778 | − | 0.879024i | \(-0.341804\pi\) |
−0.688669 | + | 0.725076i | \(0.741804\pi\) | |||||||
\(788\) | −5.70820 | + | 4.14725i | −0.203346 | + | 0.147740i | ||||
\(789\) | 23.2361 | − | 71.5133i | 0.827226 | − | 2.54594i | ||||
\(790\) | 15.3262 | − | 11.1352i | 0.545283 | − | 0.396171i | ||||
\(791\) | −0.663119 | + | 0.481784i | −0.0235778 | + | 0.0171303i | ||||
\(792\) | −10.3262 | + | 31.7809i | −0.366927 | + | 1.12928i | ||||
\(793\) | 21.4164 | − | 15.5599i | 0.760519 | − | 0.552549i | ||||
\(794\) | 9.16312 | + | 6.65740i | 0.325187 | + | 0.236262i | ||||
\(795\) | 10.4721 | + | 32.2299i | 0.371408 | + | 1.14308i | ||||
\(796\) | 9.47214 | + | 6.88191i | 0.335731 | + | 0.243923i | ||||
\(797\) | −17.1246 | + | 52.7041i | −0.606585 | + | 1.86688i | −0.121079 | + | 0.992643i | \(0.538635\pi\) |
−0.485506 | + | 0.874233i | \(0.661365\pi\) | |||||||
\(798\) | 0.854102 | − | 2.62866i | 0.0302349 | − | 0.0930534i | ||||
\(799\) | 0.583592 | + | 1.79611i | 0.0206460 | + | 0.0635419i | ||||
\(800\) | 13.5279 | 0.478282 | ||||||||
\(801\) | 87.4853 | 3.09114 | ||||||||
\(802\) | 19.0902 | + | 58.7535i | 0.674097 | + | 2.07466i | ||||
\(803\) | −13.7082 | + | 9.95959i | −0.483752 | + | 0.351466i | ||||
\(804\) | 12.9443 | + | 9.40456i | 0.456509 | + | 0.331673i | ||||
\(805\) | 1.34752 | 0.0474940 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 35.7771 | 1.25941 | ||||||||
\(808\) | −5.42705 | − | 3.94298i | −0.190923 | − | 0.138714i | ||||
\(809\) | −18.9443 | + | 13.7638i | −0.666045 | + | 0.483910i | −0.868699 | − | 0.495340i | \(-0.835043\pi\) |
0.202654 | + | 0.979250i | \(0.435043\pi\) | |||||||
\(810\) | 12.2082 | + | 37.5730i | 0.428953 | + | 1.32018i | ||||
\(811\) | −28.0000 | −0.983213 | −0.491606 | − | 0.870817i | \(-0.663590\pi\) | ||||
−0.491606 | + | 0.870817i | \(0.663590\pi\) | |||||||
\(812\) | 0.403252 | 0.0141514 | ||||||||
\(813\) | 14.1803 | + | 43.6426i | 0.497326 | + | 1.53061i | ||||
\(814\) | −2.00000 | + | 6.15537i | −0.0701000 | + | 0.215746i | ||||
\(815\) | 3.30902 | − | 10.1841i | 0.115910 | − | 0.356734i | ||||
\(816\) | −9.70820 | − | 7.05342i | −0.339855 | − | 0.246919i | ||||
\(817\) | −0.854102 | − | 2.62866i | −0.0298812 | − | 0.0919650i | ||||
\(818\) | 5.00000 | + | 3.63271i | 0.174821 | + | 0.127015i | ||||
\(819\) | 4.61803 | − | 3.35520i | 0.161367 | − | 0.117240i | ||||
\(820\) | 1.33688 | − | 4.11450i | 0.0466859 | − | 0.143684i | ||||
\(821\) | −24.7082 | + | 17.9516i | −0.862322 | + | 0.626514i | −0.928516 | − | 0.371293i | \(-0.878915\pi\) |
0.0661935 | + | 0.997807i | \(0.478915\pi\) | |||||||
\(822\) | 26.6525 | − | 19.3642i | 0.929612 | − | 0.675403i | ||||
\(823\) | −4.41641 | + | 13.5923i | −0.153946 | + | 0.473798i | −0.998053 | − | 0.0623779i | \(-0.980132\pi\) |
0.844106 | + | 0.536176i | \(0.180132\pi\) | |||||||
\(824\) | 11.2812 | − | 8.19624i | 0.392998 | − | 0.285529i | ||||
\(825\) | −20.9443 | − | 15.2169i | −0.729186 | − | 0.529785i | ||||
\(826\) | 0.263932 | + | 0.812299i | 0.00918337 | + | 0.0282635i | ||||
\(827\) | −14.0344 | − | 10.1966i | −0.488025 | − | 0.354571i | 0.316399 | − | 0.948626i | \(-0.397526\pi\) |
−0.804424 | + | 0.594055i | \(0.797526\pi\) | |||||||
\(828\) | 8.14590 | − | 25.0705i | 0.283090 | − | 0.871260i | ||||
\(829\) | 5.20163 | − | 16.0090i | 0.180660 | − | 0.556014i | −0.819187 | − | 0.573527i | \(-0.805575\pi\) |
0.999847 | + | 0.0175128i | \(0.00557479\pi\) | |||||||
\(830\) | −7.47214 | − | 22.9969i | −0.259362 | − | 0.798233i | ||||
\(831\) | 40.9443 | 1.42034 | ||||||||
\(832\) | −13.7082 | −0.475246 | ||||||||
\(833\) | −1.63932 | − | 5.04531i | −0.0567991 | − | 0.174810i | ||||
\(834\) | 56.8328 | − | 41.2915i | 1.96796 | − | 1.42981i | ||||
\(835\) | 5.23607 | + | 3.80423i | 0.181202 | + | 0.131651i | ||||
\(836\) | −2.76393 | −0.0955926 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −16.3820 | −0.565906 | ||||||||
\(839\) | −23.4164 | − | 17.0130i | −0.808424 | − | 0.587355i | 0.104949 | − | 0.994478i | \(-0.466532\pi\) |
−0.913373 | + | 0.407123i | \(0.866532\pi\) | |||||||
\(840\) | −1.38197 | + | 1.00406i | −0.0476824 | + | 0.0346433i | ||||
\(841\) | −6.60081 | − | 20.3152i | −0.227614 | − | 0.700525i | ||||
\(842\) | 47.5066 | 1.63718 | ||||||||
\(843\) | −55.0132 | −1.89475 | ||||||||
\(844\) | 4.42705 | + | 13.6251i | 0.152385 | + | 0.468994i | ||||
\(845\) | −0.781153 | + | 2.40414i | −0.0268725 | + | 0.0827050i | ||||
\(846\) | 9.23607 | − | 28.4257i | 0.317543 | − | 0.977296i | ||||
\(847\) | 1.33688 | + | 0.971301i | 0.0459358 | + | 0.0333743i | ||||
\(848\) | 15.7082 | + | 48.3449i | 0.539422 | + | 1.66017i | ||||
\(849\) | −36.3607 | − | 26.4176i | −1.24790 | − | 0.906649i | ||||
\(850\) | 4.00000 | − | 2.90617i | 0.137199 | − | 0.0996808i | ||||
\(851\) | −3.52786 | + | 10.8576i | −0.120934 | + | 0.372195i | ||||
\(852\) | −14.8541 | + | 10.7921i | −0.508893 | + | 0.369733i | ||||
\(853\) | −8.56231 | + | 6.22088i | −0.293168 | + | 0.212999i | −0.724640 | − | 0.689127i | \(-0.757994\pi\) |
0.431473 | + | 0.902126i | \(0.357994\pi\) | |||||||
\(854\) | 0.965558 | − | 2.97168i | 0.0330407 | − | 0.101689i | ||||
\(855\) | 13.5172 | − | 9.82084i | 0.462279 | − | 0.335865i | ||||
\(856\) | 10.4271 | + | 7.57570i | 0.356389 | + | 0.258932i | ||||
\(857\) | −17.2016 | − | 52.9412i | −0.587596 | − | 1.80844i | −0.588584 | − | 0.808436i | \(-0.700314\pi\) |
0.000987578 | − | 1.00000i | \(-0.499686\pi\) | |||||||
\(858\) | −27.4164 | − | 19.9192i | −0.935981 | − | 0.680030i | ||||
\(859\) | 0.652476 | − | 2.00811i | 0.0222622 | − | 0.0685160i | −0.939308 | − | 0.343074i | \(-0.888532\pi\) |
0.961570 | + | 0.274558i | \(0.0885317\pi\) | |||||||
\(860\) | 0.236068 | − | 0.726543i | 0.00804985 | − | 0.0247749i | ||||
\(861\) | −1.65248 | − | 5.08580i | −0.0563162 | − | 0.173324i | ||||
\(862\) | 19.4164 | 0.661325 | ||||||||
\(863\) | −9.81966 | −0.334265 | −0.167133 | − | 0.985934i | \(-0.553451\pi\) | ||||
−0.167133 | + | 0.985934i | \(0.553451\pi\) | |||||||
\(864\) | 15.1246 | + | 46.5488i | 0.514550 | + | 1.58362i | ||||
\(865\) | −2.38197 | + | 1.73060i | −0.0809893 | + | 0.0588422i | ||||
\(866\) | −13.3262 | − | 9.68208i | −0.452844 | − | 0.329010i | ||||
\(867\) | 53.1246 | 1.80421 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −23.4164 | −0.794347 | ||||||||
\(870\) | 11.7082 | + | 8.50651i | 0.396945 | + | 0.288398i | ||||
\(871\) | 20.9443 | − | 15.2169i | 0.709670 | − | 0.515605i | ||||
\(872\) | 9.63525 | + | 29.6543i | 0.326291 | + | 1.00422i | ||||
\(873\) | −119.138 | −4.03220 | ||||||||
\(874\) | −20.6525 | −0.698580 | ||||||||
\(875\) | −0.656541 | − | 2.02063i | −0.0221951 | − | 0.0683096i | ||||
\(876\) | −5.23607 | + | 16.1150i | −0.176910 | + | 0.544474i | ||||
\(877\) | −5.57953 | + | 17.1720i | −0.188407 | + | 0.579858i | −0.999990 | − | 0.00437905i | \(-0.998606\pi\) |
0.811583 | + | 0.584237i | \(0.198606\pi\) | |||||||
\(878\) | 1.54508 | + | 1.12257i | 0.0521441 | + | 0.0378849i | ||||
\(879\) | 0.472136 | + | 1.45309i | 0.0159248 | + | 0.0490113i | ||||
\(880\) | 7.85410 | + | 5.70634i | 0.264762 | + | 0.192361i | ||||
\(881\) | 16.4721 | − | 11.9677i | 0.554960 | − | 0.403202i | −0.274651 | − | 0.961544i | \(-0.588562\pi\) |
0.829611 | + | 0.558342i | \(0.188562\pi\) | |||||||
\(882\) | −25.9443 | + | 79.8483i | −0.873589 | + | 2.68863i | ||||
\(883\) | 25.7082 | − | 18.6781i | 0.865150 | − | 0.628568i | −0.0641312 | − | 0.997941i | \(-0.520428\pi\) |
0.929281 | + | 0.369373i | \(0.120428\pi\) | |||||||
\(884\) | 1.23607 | − | 0.898056i | 0.0415735 | − | 0.0302049i | ||||
\(885\) | −2.23607 | + | 6.88191i | −0.0751646 | + | 0.231333i | ||||
\(886\) | −40.1976 | + | 29.2052i | −1.35046 | + | 0.981169i | ||||
\(887\) | −21.8992 | − | 15.9107i | −0.735303 | − | 0.534229i | 0.155934 | − | 0.987768i | \(-0.450161\pi\) |
−0.891237 | + | 0.453539i | \(0.850161\pi\) | |||||||
\(888\) | −4.47214 | − | 13.7638i | −0.150075 | − | 0.461884i | ||||
\(889\) | −2.38197 | − | 1.73060i | −0.0798886 | − | 0.0580424i | ||||
\(890\) | 5.85410 | − | 18.0171i | 0.196230 | − | 0.603934i | ||||
\(891\) | 15.0902 | − | 46.4428i | 0.505540 | − | 1.55589i | ||||
\(892\) | 0.763932 | + | 2.35114i | 0.0255783 | + | 0.0787220i | ||||
\(893\) | −5.52786 | −0.184983 | ||||||||
\(894\) | −52.3607 | −1.75120 | ||||||||
\(895\) | 0.527864 | + | 1.62460i | 0.0176445 | + | 0.0543043i | ||||
\(896\) | −2.60081 | + | 1.88960i | −0.0868871 | + | 0.0631271i | ||||
\(897\) | −48.3607 | − | 35.1361i | −1.61472 | − | 1.17316i | ||||
\(898\) | −50.6525 | −1.69030 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −18.4721 | −0.615738 | ||||||||
\(901\) | 6.47214 | + | 4.70228i | 0.215618 | + | 0.156656i | ||||
\(902\) | −18.3262 | + | 13.3148i | −0.610197 | + | 0.443334i | ||||
\(903\) | −0.291796 | − | 0.898056i | −0.00971037 | − | 0.0298854i | ||||
\(904\) | −7.76393 | −0.258225 | ||||||||
\(905\) | −4.18034 | −0.138959 | ||||||||
\(906\) | 22.9443 | + | 70.6152i | 0.762272 | + | 2.34603i | ||||
\(907\) | −7.48936 | + | 23.0499i | −0.248680 | + | 0.765358i | 0.746329 | + | 0.665577i | \(0.231814\pi\) |
−0.995009 | + | 0.0997816i | \(0.968186\pi\) | |||||||
\(908\) | −1.23607 | + | 3.80423i | −0.0410204 | + | 0.126248i | ||||
\(909\) | 18.1353 | + | 13.1760i | 0.601508 | + | 0.437021i | ||||
\(910\) | −0.381966 | − | 1.17557i | −0.0126620 | − | 0.0389698i | ||||
\(911\) | −14.7082 | − | 10.6861i | −0.487305 | − | 0.354047i | 0.316842 | − | 0.948478i | \(-0.397377\pi\) |
−0.804147 | + | 0.594431i | \(0.797377\pi\) | |||||||
\(912\) | 28.4164 | − | 20.6457i | 0.940961 | − | 0.683648i | ||||
\(913\) | −9.23607 | + | 28.4257i | −0.305669 | + | 0.940753i | ||||
\(914\) | 4.00000 | − | 2.90617i | 0.132308 | − | 0.0961276i | ||||
\(915\) | 21.4164 | − | 15.5599i | 0.708005 | − | 0.514395i | ||||
\(916\) | −2.56231 | + | 7.88597i | −0.0846610 | + | 0.260560i | ||||
\(917\) | −2.29180 | + | 1.66509i | −0.0756818 | + | 0.0549860i | ||||
\(918\) | 14.4721 | + | 10.5146i | 0.477652 | + | 0.347034i | ||||
\(919\) | −4.47214 | − | 13.7638i | −0.147522 | − | 0.454027i | 0.849805 | − | 0.527098i | \(-0.176720\pi\) |
−0.997327 | + | 0.0730714i | \(0.976720\pi\) | |||||||
\(920\) | 10.3262 | + | 7.50245i | 0.340446 | + | 0.247348i | ||||
\(921\) | 28.7082 | − | 88.3548i | 0.945967 | − | 2.91139i | ||||
\(922\) | 17.1803 | − | 52.8756i | 0.565804 | − | 1.74137i | ||||
\(923\) | 9.18034 | + | 28.2542i | 0.302175 | + | 0.929998i | ||||
\(924\) | −0.944272 | −0.0310643 | ||||||||
\(925\) | 8.00000 | 0.263038 | ||||||||
\(926\) | −1.29180 | − | 3.97574i | −0.0424511 | − | 0.130651i | ||||
\(927\) | −37.6976 | + | 27.3889i | −1.23815 | + | 0.899569i | ||||
\(928\) | 7.56231 | + | 5.49434i | 0.248245 | + | 0.180360i | ||||
\(929\) | −20.0000 | −0.656179 | −0.328089 | − | 0.944647i | \(-0.606405\pi\) | ||||
−0.328089 | + | 0.944647i | \(0.606405\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 15.5279 | 0.508905 | ||||||||
\(932\) | −8.97214 | − | 6.51864i | −0.293892 | − | 0.213525i | ||||
\(933\) | −76.3951 | + | 55.5043i | −2.50106 | + | 1.81713i | ||||
\(934\) | 2.35410 | + | 7.24518i | 0.0770286 | + | 0.237070i | ||||
\(935\) | 1.52786 | 0.0499665 | ||||||||
\(936\) | 54.0689 | 1.76730 | ||||||||
\(937\) | 2.79837 | + | 8.61251i | 0.0914189 | + | 0.281358i | 0.986304 | − | 0.164938i | \(-0.0527425\pi\) |
−0.894885 | + | 0.446297i | \(0.852743\pi\) | |||||||
\(938\) | 0.944272 | − | 2.90617i | 0.0308316 | − | 0.0948898i | ||||
\(939\) | −16.7639 | + | 51.5941i | −0.547070 | + | 1.68371i | ||||
\(940\) | −1.23607 | − | 0.898056i | −0.0403161 | − | 0.0292914i | ||||
\(941\) | −11.7426 | − | 36.1401i | −0.382799 | − | 1.17814i | −0.938064 | − | 0.346462i | \(-0.887383\pi\) |
0.555265 | − | 0.831674i | \(-0.312617\pi\) | |||||||
\(942\) | 88.4853 | + | 64.2883i | 2.88301 | + | 2.09463i | ||||
\(943\) | −32.3262 | + | 23.4864i | −1.05269 | + | 0.764822i | ||||
\(944\) | −3.35410 | + | 10.3229i | −0.109167 | + | 0.335981i | ||||
\(945\) | 2.76393 | − | 2.00811i | 0.0899107 | − | 0.0653240i | ||||
\(946\) | −3.23607 | + | 2.35114i | −0.105214 | + | 0.0764422i | ||||
\(947\) | −4.03444 | + | 12.4167i | −0.131102 | + | 0.403490i | −0.994963 | − | 0.100240i | \(-0.968039\pi\) |
0.863862 | + | 0.503729i | \(0.168039\pi\) | |||||||
\(948\) | −18.9443 | + | 13.7638i | −0.615281 | + | 0.447028i | ||||
\(949\) | 22.1803 | + | 16.1150i | 0.720004 | + | 0.523114i | ||||
\(950\) | 4.47214 | + | 13.7638i | 0.145095 | + | 0.446557i | ||||
\(951\) | 10.6180 | + | 7.71445i | 0.344313 | + | 0.250158i | ||||
\(952\) | −0.124612 | + | 0.383516i | −0.00403869 | + | 0.0124298i | ||||
\(953\) | 14.1246 | − | 43.4711i | 0.457541 | − | 1.40817i | −0.410585 | − | 0.911822i | \(-0.634675\pi\) |
0.868126 | − | 0.496344i | \(-0.165325\pi\) | |||||||
\(954\) | −39.1246 | − | 120.413i | −1.26671 | − | 3.89852i | ||||
\(955\) | −19.1803 | −0.620661 | ||||||||
\(956\) | −7.23607 | −0.234031 | ||||||||
\(957\) | −5.52786 | − | 17.0130i | −0.178690 | − | 0.549953i | ||||
\(958\) | −30.4894 | + | 22.1518i | −0.985066 | + | 0.715693i | ||||
\(959\) | −1.20163 | − | 0.873032i | −0.0388025 | − | 0.0281917i | ||||
\(960\) | −13.7082 | −0.442430 | ||||||||
\(961\) | 0 | 0 | ||||||||
\(962\) | 10.4721 | 0.337635 | ||||||||
\(963\) | −34.8435 | − | 25.3153i | −1.12281 | − | 0.815773i | ||||
\(964\) | −7.18034 | + | 5.21682i | −0.231263 | + | 0.168023i | ||||
\(965\) | 1.07295 | + | 3.30220i | 0.0345395 | + | 0.106301i | ||||
\(966\) | −7.05573 | −0.227014 | ||||||||
\(967\) | 60.3607 | 1.94107 | 0.970534 | − | 0.240963i | \(-0.0774632\pi\) | ||||
0.970534 | + | 0.240963i | \(0.0774632\pi\) | |||||||
\(968\) | 4.83688 | + | 14.8864i | 0.155463 | + | 0.478467i | ||||
\(969\) | 1.70820 | − | 5.25731i | 0.0548754 | − | 0.168889i | ||||
\(970\) | −7.97214 | + | 24.5357i | −0.255970 | + | 0.787794i | ||||
\(971\) | 22.6525 | + | 16.4580i | 0.726953 | + | 0.528162i | 0.888598 | − | 0.458687i | \(-0.151680\pi\) |
−0.161645 | + | 0.986849i | \(0.551680\pi\) | |||||||
\(972\) | −6.79837 | − | 20.9232i | −0.218058 | − | 0.671113i | ||||
\(973\) | −2.56231 | − | 1.86162i | −0.0821438 | − | 0.0596809i | ||||
\(974\) | 25.1803 | − | 18.2946i | 0.806830 | − | 0.586196i | ||||
\(975\) | −12.9443 | + | 39.8384i | −0.414548 | + | 1.27585i | ||||
\(976\) | 32.1246 | − | 23.3399i | 1.02828 | − | 0.747092i | ||||
\(977\) | 38.2254 | − | 27.7724i | 1.22294 | − | 0.888518i | 0.226599 | − | 0.973988i | \(-0.427239\pi\) |
0.996341 | + | 0.0854705i | \(0.0272393\pi\) | |||||||
\(978\) | −17.3262 | + | 53.3247i | −0.554032 | + | 1.70514i | ||||
\(979\) | −18.9443 | + | 13.7638i | −0.605462 | + | 0.439894i | ||||
\(980\) | 3.47214 | + | 2.52265i | 0.110913 | + | 0.0805832i | ||||
\(981\) | −32.1976 | − | 99.0939i | −1.02799 | − | 3.16382i | ||||
\(982\) | −5.70820 | − | 4.14725i | −0.182156 | − | 0.132344i | ||||
\(983\) | 12.2148 | − | 37.5932i | 0.389591 | − | 1.19904i | −0.543504 | − | 0.839407i | \(-0.682903\pi\) |
0.933095 | − | 0.359631i | \(-0.117097\pi\) | |||||||
\(984\) | 15.6525 | − | 48.1734i | 0.498983 | − | 1.53571i | ||||
\(985\) | 3.52786 | + | 10.8576i | 0.112407 | + | 0.345953i | ||||
\(986\) | 3.41641 | 0.108801 | ||||||||
\(987\) | −1.88854 | −0.0601130 | ||||||||
\(988\) | 1.38197 | + | 4.25325i | 0.0439662 | + | 0.135314i | ||||
\(989\) | −5.70820 | + | 4.14725i | −0.181510 | + | 0.131875i | ||||
\(990\) | −19.5623 | − | 14.2128i | −0.621731 | − | 0.451714i | ||||
\(991\) | −16.5410 | −0.525443 | −0.262721 | − | 0.964872i | \(-0.584620\pi\) | ||||
−0.262721 | + | 0.964872i | \(0.584620\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −6.47214 | −0.205387 | ||||||||
\(994\) | 2.83688 | + | 2.06111i | 0.0899804 | + | 0.0653746i | ||||
\(995\) | 15.3262 | − | 11.1352i | 0.485874 | − | 0.353008i | ||||
\(996\) | 9.23607 | + | 28.4257i | 0.292656 | + | 0.900703i | ||||
\(997\) | −29.3607 | −0.929862 | −0.464931 | − | 0.885347i | \(-0.653921\pi\) | ||||
−0.464931 | + | 0.885347i | \(0.653921\pi\) | |||||||
\(998\) | −10.6525 | −0.337198 | ||||||||
\(999\) | 8.94427 | + | 27.5276i | 0.282984 | + | 0.870936i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))