Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [867,2,Mod(688,867)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(867, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("867.688");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 867 = 3 \cdot 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 867.h (of order \(8\), 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: | \(6.92302985525\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{8})\) |
Coefficient field: | 16.0.1963501163244660295991296.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 1889x^{8} + 65536 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 51) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 733.4 | ||
Root | \(-0.597580 + 1.44269i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 867.733 |
Dual form | 867.2.h.j.757.4 |
$q$-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 \(\left(\mathbb{Z}/867\mathbb{Z}\right)^\times\).
\(n\) | \(290\) | \(292\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.10418 | + | 1.10418i | 0.780776 | + | 0.780776i | 0.979962 | − | 0.199185i | \(-0.0638296\pi\) |
−0.199185 | + | 0.979962i | \(0.563830\pi\) | |||||||
\(3\) | 0.923880 | − | 0.382683i | 0.533402 | − | 0.220942i | ||||
\(4\) | 0.438447i | 0.219224i | ||||||||
\(5\) | −0.214897 | − | 0.518807i | −0.0961048 | − | 0.232018i | 0.868515 | − | 0.495663i | \(-0.165075\pi\) |
−0.964620 | + | 0.263646i | \(0.915075\pi\) | |||||||
\(6\) | 1.44269 | + | 0.597580i | 0.588974 | + | 0.243961i | ||||
\(7\) | 0 | 0 | −0.923880 | − | 0.382683i | \(-0.875000\pi\) | ||||
0.923880 | + | 0.382683i | \(0.125000\pi\) | |||||||
\(8\) | 1.72424 | − | 1.72424i | 0.609612 | − | 0.609612i | ||||
\(9\) | 0.707107 | − | 0.707107i | 0.235702 | − | 0.235702i | ||||
\(10\) | 0.335573 | − | 0.810145i | 0.106117 | − | 0.256190i | ||||
\(11\) | −2.36657 | − | 0.980264i | −0.713547 | − | 0.295561i | −0.00377529 | − | 0.999993i | \(-0.501202\pi\) |
−0.709771 | + | 0.704432i | \(0.751202\pi\) | |||||||
\(12\) | 0.167786 | + | 0.405072i | 0.0484358 | + | 0.116934i | ||||
\(13\) | − | 4.56155i | − | 1.26515i | −0.774500 | − | 0.632574i | \(-0.781999\pi\) | ||
0.774500 | − | 0.632574i | \(-0.218001\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.397078 | − | 0.397078i | −0.102525 | − | 0.102525i | ||||
\(16\) | 4.68466 | 1.17116 | ||||||||
\(17\) | 0 | 0 | ||||||||
\(18\) | 1.56155 | 0.368062 | ||||||||
\(19\) | 5.43387 | + | 5.43387i | 1.24662 | + | 1.24662i | 0.957205 | + | 0.289411i | \(0.0934596\pi\) |
0.289411 | + | 0.957205i | \(0.406540\pi\) | |||||||
\(20\) | 0.227470 | − | 0.0942210i | 0.0508637 | − | 0.0210684i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.53073 | − | 3.69552i | −0.326354 | − | 0.787887i | ||||
\(23\) | 6.06208 | + | 2.51100i | 1.26403 | + | 0.523579i | 0.911145 | − | 0.412087i | \(-0.135200\pi\) |
0.352887 | + | 0.935666i | \(0.385200\pi\) | |||||||
\(24\) | 0.933153 | − | 2.25283i | 0.190479 | − | 0.459857i | ||||
\(25\) | 3.31255 | − | 3.31255i | 0.662511 | − | 0.662511i | ||||
\(26\) | 5.03680 | − | 5.03680i | 0.987797 | − | 0.987797i | ||||
\(27\) | 0.382683 | − | 0.923880i | 0.0736475 | − | 0.177801i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.15569 | − | 7.61851i | −0.585997 | − | 1.41472i | −0.887300 | − | 0.461193i | \(-0.847422\pi\) |
0.301303 | − | 0.953528i | \(-0.402578\pi\) | |||||||
\(30\) | − | 0.876894i | − | 0.160098i | ||||||
\(31\) | −4.73313 | + | 1.96053i | −0.850096 | + | 0.352121i | −0.764826 | − | 0.644237i | \(-0.777175\pi\) |
−0.0852696 | + | 0.996358i | \(0.527175\pi\) | |||||||
\(32\) | 1.72424 | + | 1.72424i | 0.304806 | + | 0.304806i | ||||
\(33\) | −2.56155 | −0.445909 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.310029 | + | 0.310029i | 0.0516715 | + | 0.0516715i | ||||
\(37\) | −2.88537 | + | 1.19516i | −0.474352 | + | 0.196483i | −0.607035 | − | 0.794675i | \(-0.707641\pi\) |
0.132682 | + | 0.991159i | \(0.457641\pi\) | |||||||
\(38\) | 12.0000i | 1.94666i | ||||||||
\(39\) | −1.74563 | − | 4.21433i | −0.279525 | − | 0.674832i | ||||
\(40\) | −1.26508 | − | 0.524015i | −0.200027 | − | 0.0828540i | ||||
\(41\) | 0.214897 | − | 0.518807i | 0.0335613 | − | 0.0810241i | −0.906210 | − | 0.422827i | \(-0.861038\pi\) |
0.939772 | + | 0.341803i | \(0.111038\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.43387 | + | 5.43387i | −0.828658 | + | 0.828658i | −0.987331 | − | 0.158673i | \(-0.949278\pi\) |
0.158673 | + | 0.987331i | \(0.449278\pi\) | |||||||
\(44\) | 0.429794 | − | 1.03761i | 0.0647939 | − | 0.156426i | ||||
\(45\) | −0.518807 | − | 0.214897i | −0.0773392 | − | 0.0320349i | ||||
\(46\) | 3.92106 | + | 9.46626i | 0.578128 | + | 1.39572i | ||||
\(47\) | 2.87689i | 0.419638i | 0.977740 | + | 0.209819i | \(0.0672875\pi\) | ||||
−0.977740 | + | 0.209819i | \(0.932712\pi\) | |||||||
\(48\) | 4.32806 | − | 1.79274i | 0.624702 | − | 0.258760i | ||||
\(49\) | 4.94975 | + | 4.94975i | 0.707107 | + | 0.707107i | ||||
\(50\) | 7.31534 | 1.03455 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.00000 | 0.277350 | ||||||||
\(53\) | −3.00252 | − | 3.00252i | −0.412428 | − | 0.412428i | 0.470155 | − | 0.882584i | \(-0.344198\pi\) |
−0.882584 | + | 0.470155i | \(0.844198\pi\) | |||||||
\(54\) | 1.44269 | − | 0.597580i | 0.196325 | − | 0.0813204i | ||||
\(55\) | 1.43845i | 0.193960i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.09970 | + | 2.94079i | 0.940378 | + | 0.389517i | ||||
\(58\) | 4.92777 | − | 11.8967i | 0.647048 | − | 1.56211i | ||||
\(59\) | 0.794156 | − | 0.794156i | 0.103390 | − | 0.103390i | −0.653519 | − | 0.756910i | \(-0.726708\pi\) |
0.756910 | + | 0.653519i | \(0.226708\pi\) | |||||||
\(60\) | 0.174098 | − | 0.174098i | 0.0224759 | − | 0.0224759i | ||||
\(61\) | −0.335573 | + | 0.810145i | −0.0429657 | + | 0.103728i | −0.943905 | − | 0.330216i | \(-0.892878\pi\) |
0.900940 | + | 0.433944i | \(0.142878\pi\) | |||||||
\(62\) | −7.39104 | − | 3.06147i | −0.938663 | − | 0.388807i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 5.56155i | − | 0.695194i | ||||||
\(65\) | −2.36657 | + | 0.980264i | −0.293536 | + | 0.121587i | ||||
\(66\) | −2.82843 | − | 2.82843i | −0.348155 | − | 0.348155i | ||||
\(67\) | −4.00000 | −0.488678 | −0.244339 | − | 0.969690i | \(-0.578571\pi\) | ||||
−0.244339 | + | 0.969690i | \(0.578571\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 6.56155 | 0.789918 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.46626 | + | 3.92106i | −1.12344 | + | 0.465344i | −0.865546 | − | 0.500830i | \(-0.833028\pi\) |
−0.257893 | + | 0.966173i | \(0.583028\pi\) | |||||||
\(72\) | − | 2.43845i | − | 0.287374i | ||||||
\(73\) | 1.62495 | + | 3.92299i | 0.190187 | + | 0.459151i | 0.989995 | − | 0.141105i | \(-0.0450655\pi\) |
−0.799808 | + | 0.600256i | \(0.795065\pi\) | |||||||
\(74\) | −4.50566 | − | 1.86631i | −0.523773 | − | 0.216954i | ||||
\(75\) | 1.79274 | − | 4.32806i | 0.207008 | − | 0.499761i | ||||
\(76\) | −2.38247 | + | 2.38247i | −0.273288 | + | 0.273288i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 2.72589 | − | 6.58089i | 0.308647 | − | 0.745139i | ||||
\(79\) | 14.1994 | + | 5.88158i | 1.59756 | + | 0.661730i | 0.991067 | − | 0.133362i | \(-0.0425772\pi\) |
0.606490 | + | 0.795091i | \(0.292577\pi\) | |||||||
\(80\) | −1.00672 | − | 2.43043i | −0.112555 | − | 0.271731i | ||||
\(81\) | − | 1.00000i | − | 0.111111i | ||||||
\(82\) | 0.810145 | − | 0.335573i | 0.0894655 | − | 0.0370578i | ||||
\(83\) | 6.45101 | + | 6.45101i | 0.708090 | + | 0.708090i | 0.966133 | − | 0.258043i | \(-0.0830777\pi\) |
−0.258043 | + | 0.966133i | \(0.583078\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −12.0000 | −1.29399 | ||||||||
\(87\) | −5.83095 | − | 5.83095i | −0.625144 | − | 0.625144i | ||||
\(88\) | −5.77075 | + | 2.39032i | −0.615164 | + | 0.254809i | ||||
\(89\) | 7.12311i | 0.755048i | 0.926000 | + | 0.377524i | \(0.123224\pi\) | ||||
−0.926000 | + | 0.377524i | \(0.876776\pi\) | |||||||
\(90\) | −0.335573 | − | 0.810145i | −0.0353725 | − | 0.0853968i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −1.10094 | + | 2.65790i | −0.114781 | + | 0.277106i | ||||
\(93\) | −3.62258 | + | 3.62258i | −0.375644 | + | 0.375644i | ||||
\(94\) | −3.17662 | + | 3.17662i | −0.327644 | + | 0.327644i | ||||
\(95\) | 1.65141 | − | 3.98686i | 0.169431 | − | 0.409043i | ||||
\(96\) | 2.25283 | + | 0.933153i | 0.229929 | + | 0.0952396i | ||||
\(97\) | 4.25663 | + | 10.2764i | 0.432195 | + | 1.04341i | 0.978578 | + | 0.205876i | \(0.0660043\pi\) |
−0.546383 | + | 0.837535i | \(0.683996\pi\) | |||||||
\(98\) | 10.9309i | 1.10418i | ||||||||
\(99\) | −2.36657 | + | 0.980264i | −0.237849 | + | 0.0985202i | ||||
\(100\) | 1.45238 | + | 1.45238i | 0.145238 | + | 0.145238i | ||||
\(101\) | −19.1231 | −1.90282 | −0.951410 | − | 0.307927i | \(-0.900365\pi\) | ||||
−0.951410 | + | 0.307927i | \(0.900365\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.31534 | 0.425203 | 0.212602 | − | 0.977139i | \(-0.431806\pi\) | ||||
0.212602 | + | 0.977139i | \(0.431806\pi\) | |||||||
\(104\) | −7.86522 | − | 7.86522i | −0.771249 | − | 0.771249i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | − | 6.63068i | − | 0.644029i | ||||||
\(107\) | 2.94079 | + | 7.09970i | 0.284297 | + | 0.686354i | 0.999926 | − | 0.0121264i | \(-0.00386004\pi\) |
−0.715629 | + | 0.698480i | \(0.753860\pi\) | |||||||
\(108\) | 0.405072 | + | 0.167786i | 0.0389781 | + | 0.0161453i | ||||
\(109\) | −5.78736 | + | 13.9719i | −0.554329 | + | 1.33827i | 0.359870 | + | 0.933002i | \(0.382821\pi\) |
−0.914199 | + | 0.405266i | \(0.867179\pi\) | |||||||
\(110\) | −1.58831 | + | 1.58831i | −0.151440 | + | 0.151440i | ||||
\(111\) | −2.20837 | + | 2.20837i | −0.209609 | + | 0.209609i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −4.21433 | − | 1.74563i | −0.396450 | − | 0.164215i | 0.175546 | − | 0.984471i | \(-0.443831\pi\) |
−0.571996 | + | 0.820256i | \(0.693831\pi\) | |||||||
\(114\) | 4.59220 | + | 11.0866i | 0.430099 | + | 1.03835i | ||||
\(115\) | − | 3.68466i | − | 0.343596i | ||||||
\(116\) | 3.34031 | − | 1.38360i | 0.310140 | − | 0.128464i | ||||
\(117\) | −3.22550 | − | 3.22550i | −0.298198 | − | 0.298198i | ||||
\(118\) | 1.75379 | 0.161449 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −1.36932 | −0.125001 | ||||||||
\(121\) | −3.13846 | − | 3.13846i | −0.285314 | − | 0.285314i | ||||
\(122\) | −1.26508 | + | 0.524015i | −0.114535 | + | 0.0474421i | ||||
\(123\) | − | 0.561553i | − | 0.0506335i | ||||||
\(124\) | −0.859588 | − | 2.07523i | −0.0771933 | − | 0.186361i | ||||
\(125\) | −5.02447 | − | 2.08120i | −0.449402 | − | 0.186149i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.571175 | − | 0.571175i | 0.0506836 | − | 0.0506836i | −0.681311 | − | 0.731994i | \(-0.738590\pi\) |
0.731994 | + | 0.681311i | \(0.238590\pi\) | |||||||
\(128\) | 9.58947 | − | 9.58947i | 0.847597 | − | 0.847597i | ||||
\(129\) | −2.94079 | + | 7.09970i | −0.258922 | + | 0.625094i | ||||
\(130\) | −3.69552 | − | 1.53073i | −0.324118 | − | 0.134254i | ||||
\(131\) | −7.10320 | − | 17.1486i | −0.620609 | − | 1.49828i | −0.850989 | − | 0.525183i | \(-0.823997\pi\) |
0.230380 | − | 0.973101i | \(-0.426003\pi\) | |||||||
\(132\) | − | 1.12311i | − | 0.0977538i | ||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −4.41674 | − | 4.41674i | −0.381548 | − | 0.381548i | ||||
\(135\) | −0.561553 | −0.0483308 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −16.2462 | −1.38801 | −0.694004 | − | 0.719971i | \(-0.744155\pi\) | ||||
−0.694004 | + | 0.719971i | \(0.744155\pi\) | |||||||
\(138\) | 7.24517 | + | 7.24517i | 0.616749 | + | 0.616749i | ||||
\(139\) | 8.42865 | − | 3.49126i | 0.714909 | − | 0.296125i | 0.00457466 | − | 0.999990i | \(-0.498544\pi\) |
0.710334 | + | 0.703865i | \(0.248544\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.10094 | + | 2.65790i | 0.0927159 | + | 0.223836i | ||||
\(142\) | −14.7821 | − | 6.12293i | −1.24048 | − | 0.513825i | ||||
\(143\) | −4.47153 | + | 10.7952i | −0.373928 | + | 0.902741i | ||||
\(144\) | 3.31255 | − | 3.31255i | 0.276046 | − | 0.276046i | ||||
\(145\) | −3.27439 | + | 3.27439i | −0.271923 | + | 0.271923i | ||||
\(146\) | −2.53745 | + | 6.12595i | −0.210001 | + | 0.506987i | ||||
\(147\) | 6.46716 | + | 2.67878i | 0.533402 | + | 0.220942i | ||||
\(148\) | −0.524015 | − | 1.26508i | −0.0430738 | − | 0.103989i | ||||
\(149\) | 4.24621i | 0.347863i | 0.984758 | + | 0.173932i | \(0.0556472\pi\) | ||||
−0.984758 | + | 0.173932i | \(0.944353\pi\) | |||||||
\(150\) | 6.75849 | − | 2.79946i | 0.551829 | − | 0.228575i | ||||
\(151\) | −5.65685 | − | 5.65685i | −0.460348 | − | 0.460348i | 0.438421 | − | 0.898770i | \(-0.355538\pi\) |
−0.898770 | + | 0.438421i | \(0.855538\pi\) | |||||||
\(152\) | 18.7386 | 1.51990 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.03427 | + | 2.03427i | 0.163397 | + | 0.163397i | ||||
\(156\) | 1.84776 | − | 0.765367i | 0.147939 | − | 0.0612784i | ||||
\(157\) | − | 5.68466i | − | 0.453685i | −0.973931 | − | 0.226843i | \(-0.927160\pi\) | ||
0.973931 | − | 0.226843i | \(-0.0728403\pi\) | |||||||
\(158\) | 9.18440 | + | 22.1731i | 0.730672 | + | 1.76400i | ||||
\(159\) | −3.92299 | − | 1.62495i | −0.311113 | − | 0.128867i | ||||
\(160\) | 0.524015 | − | 1.26508i | 0.0414270 | − | 0.100014i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 1.10418 | − | 1.10418i | 0.0867529 | − | 0.0867529i | ||||
\(163\) | 2.63167 | − | 6.35342i | 0.206129 | − | 0.497638i | −0.786679 | − | 0.617363i | \(-0.788201\pi\) |
0.992807 | + | 0.119724i | \(0.0382011\pi\) | |||||||
\(164\) | 0.227470 | + | 0.0942210i | 0.0177624 | + | 0.00735742i | ||||
\(165\) | 0.550470 | + | 1.32895i | 0.0428540 | + | 0.103459i | ||||
\(166\) | 14.2462i | 1.10572i | ||||||||
\(167\) | −0.746277 | + | 0.309118i | −0.0577486 | + | 0.0239203i | −0.411371 | − | 0.911468i | \(-0.634950\pi\) |
0.353622 | + | 0.935388i | \(0.384950\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.80776 | −0.600597 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 7.68466 | 0.587661 | ||||||||
\(172\) | −2.38247 | − | 2.38247i | −0.181661 | − | 0.181661i | ||||
\(173\) | 17.3761 | − | 7.19742i | 1.32108 | − | 0.547210i | 0.392983 | − | 0.919546i | \(-0.371443\pi\) |
0.928098 | + | 0.372336i | \(0.121443\pi\) | |||||||
\(174\) | − | 12.8769i | − | 0.976195i | ||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −11.0866 | − | 4.59220i | −0.835680 | − | 0.346150i | ||||
\(177\) | 0.429794 | − | 1.03761i | 0.0323053 | − | 0.0779919i | ||||
\(178\) | −7.86522 | + | 7.86522i | −0.589523 | + | 0.589523i | ||||
\(179\) | −6.45101 | + | 6.45101i | −0.482171 | + | 0.482171i | −0.905824 | − | 0.423653i | \(-0.860747\pi\) |
0.423653 | + | 0.905824i | \(0.360747\pi\) | |||||||
\(180\) | 0.0942210 | − | 0.227470i | 0.00702282 | − | 0.0169546i | ||||
\(181\) | 5.54328 | + | 2.29610i | 0.412029 | + | 0.170668i | 0.579062 | − | 0.815283i | \(-0.303419\pi\) |
−0.167034 | + | 0.985951i | \(0.553419\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.876894i | 0.0648219i | ||||||||
\(184\) | 14.7821 | − | 6.12293i | 1.08975 | − | 0.451389i | ||||
\(185\) | 1.24012 | + | 1.24012i | 0.0911751 | + | 0.0911751i | ||||
\(186\) | −8.00000 | −0.586588 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −1.26137 | −0.0919946 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.22569 | − | 2.57876i | 0.451659 | − | 0.187083i | ||||
\(191\) | − | 13.1231i | − | 0.949555i | −0.880106 | − | 0.474777i | \(-0.842529\pi\) | ||
0.880106 | − | 0.474777i | \(-0.157471\pi\) | |||||||
\(192\) | −2.12831 | − | 5.13820i | −0.153598 | − | 0.370818i | ||||
\(193\) | 22.4006 | + | 9.27862i | 1.61243 | + | 0.667890i | 0.993103 | − | 0.117244i | \(-0.0374060\pi\) |
0.619326 | + | 0.785134i | \(0.287406\pi\) | |||||||
\(194\) | −6.64695 | + | 16.0472i | −0.477223 | + | 1.15212i | ||||
\(195\) | −1.81129 | + | 1.81129i | −0.129709 | + | 0.129709i | ||||
\(196\) | −2.17020 | + | 2.17020i | −0.155014 | + | 0.155014i | ||||
\(197\) | −7.62721 | + | 18.4137i | −0.543416 | + | 1.31192i | 0.378882 | + | 0.925445i | \(0.376309\pi\) |
−0.922298 | + | 0.386478i | \(0.873691\pi\) | |||||||
\(198\) | −3.69552 | − | 1.53073i | −0.262629 | − | 0.108785i | ||||
\(199\) | −6.12293 | − | 14.7821i | −0.434043 | − | 1.04787i | −0.977971 | − | 0.208741i | \(-0.933063\pi\) |
0.543928 | − | 0.839132i | \(-0.316937\pi\) | |||||||
\(200\) | − | 11.4233i | − | 0.807749i | ||||||
\(201\) | −3.69552 | + | 1.53073i | −0.260662 | + | 0.107970i | ||||
\(202\) | −21.1154 | − | 21.1154i | −1.48568 | − | 1.48568i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.315342 | −0.0220244 | ||||||||
\(206\) | 4.76493 | + | 4.76493i | 0.331989 | + | 0.331989i | ||||
\(207\) | 6.06208 | − | 2.51100i | 0.421344 | − | 0.174526i | ||||
\(208\) | − | 21.3693i | − | 1.48170i | ||||||
\(209\) | −7.53299 | − | 18.1863i | −0.521068 | − | 1.25797i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.35085 | + | 10.5039i | −0.299525 | + | 0.723117i | 0.700431 | + | 0.713720i | \(0.252991\pi\) |
−0.999956 | + | 0.00939678i | \(0.997009\pi\) | |||||||
\(212\) | 1.31645 | − | 1.31645i | 0.0904141 | − | 0.0904141i | ||||
\(213\) | −7.24517 | + | 7.24517i | −0.496431 | + | 0.496431i | ||||
\(214\) | −4.59220 | + | 11.0866i | −0.313916 | + | 0.757861i | ||||
\(215\) | 3.98686 | + | 1.65141i | 0.271901 | + | 0.112625i | ||||
\(216\) | −0.933153 | − | 2.25283i | −0.0634930 | − | 0.153286i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −21.8179 | + | 9.03727i | −1.47769 | + | 0.612081i | ||||
\(219\) | 3.00252 | + | 3.00252i | 0.202892 | + | 0.202892i | ||||
\(220\) | −0.630683 | −0.0425206 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −4.87689 | −0.327316 | ||||||||
\(223\) | 9.85061 | + | 9.85061i | 0.659646 | + | 0.659646i | 0.955296 | − | 0.295650i | \(-0.0955363\pi\) |
−0.295650 | + | 0.955296i | \(0.595536\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | − | 4.68466i | − | 0.312311i | ||||||
\(226\) | −2.72589 | − | 6.58089i | −0.181324 | − | 0.437754i | ||||
\(227\) | −21.2991 | − | 8.82237i | −1.41367 | − | 0.585562i | −0.460409 | − | 0.887707i | \(-0.652297\pi\) |
−0.953262 | + | 0.302145i | \(0.902297\pi\) | |||||||
\(228\) | −1.28938 | + | 3.11284i | −0.0853914 | + | 0.206153i | ||||
\(229\) | −4.24264 | + | 4.24264i | −0.280362 | + | 0.280362i | −0.833253 | − | 0.552892i | \(-0.813524\pi\) |
0.552892 | + | 0.833253i | \(0.313524\pi\) | |||||||
\(230\) | 4.06854 | − | 4.06854i | 0.268272 | − | 0.268272i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −18.5773 | − | 7.69498i | −1.21966 | − | 0.505200i | ||||
\(233\) | −0.214897 | − | 0.518807i | −0.0140784 | − | 0.0339882i | 0.916684 | − | 0.399613i | \(-0.130855\pi\) |
−0.930762 | + | 0.365625i | \(0.880855\pi\) | |||||||
\(234\) | − | 7.12311i | − | 0.465652i | ||||||
\(235\) | 1.49255 | − | 0.618236i | 0.0973634 | − | 0.0403293i | ||||
\(236\) | 0.348195 | + | 0.348195i | 0.0226656 | + | 0.0226656i | ||||
\(237\) | 15.3693 | 0.998344 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 10.2462 | 0.662772 | 0.331386 | − | 0.943495i | \(-0.392484\pi\) | ||||
0.331386 | + | 0.943495i | \(0.392484\pi\) | |||||||
\(240\) | −1.86017 | − | 1.86017i | −0.120074 | − | 0.120074i | ||||
\(241\) | 19.7427 | − | 8.17768i | 1.27174 | − | 0.526771i | 0.358245 | − | 0.933627i | \(-0.383375\pi\) |
0.913492 | + | 0.406857i | \(0.133375\pi\) | |||||||
\(242\) | − | 6.93087i | − | 0.445533i | ||||||
\(243\) | −0.382683 | − | 0.923880i | −0.0245492 | − | 0.0592669i | ||||
\(244\) | −0.355206 | − | 0.147131i | −0.0227397 | − | 0.00941910i | ||||
\(245\) | 1.50428 | − | 3.63165i | 0.0961048 | − | 0.232018i | ||||
\(246\) | 0.620058 | − | 0.620058i | 0.0395335 | − | 0.0395335i | ||||
\(247\) | 24.7869 | − | 24.7869i | 1.57715 | − | 1.57715i | ||||
\(248\) | −4.78064 | + | 11.5415i | −0.303571 | + | 0.732886i | ||||
\(249\) | 8.42865 | + | 3.49126i | 0.534144 | + | 0.221250i | ||||
\(250\) | −3.24991 | − | 7.84598i | −0.205542 | − | 0.496223i | ||||
\(251\) | 24.4924i | 1.54595i | 0.634438 | + | 0.772974i | \(0.281232\pi\) | ||||
−0.634438 | + | 0.772974i | \(0.718768\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −11.8849 | − | 11.8849i | −0.747196 | − | 0.747196i | ||||
\(254\) | 1.26137 | 0.0791452 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 10.0540 | 0.628373 | ||||||||
\(257\) | 6.62511 | + | 6.62511i | 0.413263 | + | 0.413263i | 0.882874 | − | 0.469611i | \(-0.155606\pi\) |
−0.469611 | + | 0.882874i | \(0.655606\pi\) | |||||||
\(258\) | −11.0866 | + | 4.59220i | −0.690219 | + | 0.285898i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −0.429794 | − | 1.03761i | −0.0266547 | − | 0.0643501i | ||||
\(261\) | −7.61851 | − | 3.15569i | −0.471574 | − | 0.195332i | ||||
\(262\) | 11.0920 | − | 26.7785i | 0.685267 | − | 1.65438i | ||||
\(263\) | −8.83348 | + | 8.83348i | −0.544696 | + | 0.544696i | −0.924902 | − | 0.380206i | \(-0.875853\pi\) |
0.380206 | + | 0.924902i | \(0.375853\pi\) | |||||||
\(264\) | −4.41674 | + | 4.41674i | −0.271831 | + | 0.271831i | ||||
\(265\) | −0.912498 | + | 2.20296i | −0.0560543 | + | 0.135327i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.72589 | + | 6.58089i | 0.166822 | + | 0.402744i | ||||
\(268\) | − | 1.75379i | − | 0.107130i | ||||||
\(269\) | 18.9964 | − | 7.86857i | 1.15823 | − | 0.479755i | 0.280945 | − | 0.959724i | \(-0.409352\pi\) |
0.877286 | + | 0.479969i | \(0.159352\pi\) | |||||||
\(270\) | −0.620058 | − | 0.620058i | −0.0377355 | − | 0.0377355i | ||||
\(271\) | 0.807764 | 0.0490682 | 0.0245341 | − | 0.999699i | \(-0.492190\pi\) | ||||
0.0245341 | + | 0.999699i | \(0.492190\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −17.9388 | − | 17.9388i | −1.08372 | − | 1.08372i | ||||
\(275\) | −11.0866 | + | 4.59220i | −0.668544 | + | 0.276920i | ||||
\(276\) | 2.87689i | 0.173169i | ||||||||
\(277\) | 2.29610 | + | 5.54328i | 0.137959 | + | 0.333063i | 0.977726 | − | 0.209884i | \(-0.0673085\pi\) |
−0.839767 | + | 0.542947i | \(0.817309\pi\) | |||||||
\(278\) | 13.1618 | + | 5.45179i | 0.789391 | + | 0.326977i | ||||
\(279\) | −1.96053 | + | 4.73313i | −0.117374 | + | 0.283365i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −13.5221 | + | 13.5221i | −0.806660 | + | 0.806660i | −0.984127 | − | 0.177467i | \(-0.943210\pi\) |
0.177467 | + | 0.984127i | \(0.443210\pi\) | |||||||
\(282\) | −1.71918 | + | 4.15046i | −0.102375 | + | 0.247156i | ||||
\(283\) | −3.11284 | − | 1.28938i | −0.185039 | − | 0.0766458i | 0.288240 | − | 0.957558i | \(-0.406930\pi\) |
−0.473279 | + | 0.880912i | \(0.656930\pi\) | |||||||
\(284\) | −1.71918 | − | 4.15046i | −0.102014 | − | 0.246284i | ||||
\(285\) | − | 4.31534i | − | 0.255619i | ||||||
\(286\) | −16.8573 | + | 6.98252i | −0.996793 | + | 0.412885i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 2.43845 | 0.143687 | ||||||||
\(289\) | 0 | 0 | ||||||||
\(290\) | −7.23106 | −0.424622 | ||||||||
\(291\) | 7.86522 | + | 7.86522i | 0.461068 | + | 0.461068i | ||||
\(292\) | −1.72002 | + | 0.712457i | −0.100657 | + | 0.0416934i | ||||
\(293\) | − | 7.12311i | − | 0.416136i | −0.978114 | − | 0.208068i | \(-0.933282\pi\) | ||
0.978114 | − | 0.208068i | \(-0.0667176\pi\) | |||||||
\(294\) | 4.18306 | + | 10.0988i | 0.243961 | + | 0.588974i | ||||
\(295\) | −0.582675 | − | 0.241352i | −0.0339247 | − | 0.0140521i | ||||
\(296\) | −2.91434 | + | 7.03583i | −0.169392 | + | 0.408949i | ||||
\(297\) | −1.81129 | + | 1.81129i | −0.105102 | + | 0.105102i | ||||
\(298\) | −4.68860 | + | 4.68860i | −0.271603 | + | 0.271603i | ||||
\(299\) | 11.4540 | − | 27.6525i | 0.662405 | − | 1.59919i | ||||
\(300\) | 1.89763 | + | 0.786022i | 0.109559 | + | 0.0453810i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | − | 12.4924i | − | 0.718858i | ||||||
\(303\) | −17.6674 | + | 7.31810i | −1.01497 | + | 0.420414i | ||||
\(304\) | 25.4558 | + | 25.4558i | 1.45999 | + | 1.45999i | ||||
\(305\) | 0.492423 | 0.0281960 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.492423 | −0.0281040 | −0.0140520 | − | 0.999901i | \(-0.504473\pi\) | ||||
−0.0140520 | + | 0.999901i | \(0.504473\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3.98686 | − | 1.65141i | 0.226804 | − | 0.0939454i | ||||
\(310\) | 4.49242i | 0.255152i | ||||||||
\(311\) | 0 | 0 | 0.923880 | − | 0.382683i | \(-0.125000\pi\) | ||||
−0.923880 | + | 0.382683i | \(0.875000\pi\) | |||||||
\(312\) | −10.2764 | − | 4.25663i | −0.581787 | − | 0.240984i | ||||
\(313\) | −2.91434 | + | 7.03583i | −0.164728 | + | 0.397689i | −0.984591 | − | 0.174871i | \(-0.944049\pi\) |
0.819863 | + | 0.572559i | \(0.194049\pi\) | |||||||
\(314\) | 6.27691 | − | 6.27691i | 0.354227 | − | 0.354227i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.57876 | + | 6.22569i | −0.145067 | + | 0.350222i | ||||
\(317\) | −16.6298 | − | 6.88830i | −0.934024 | − | 0.386886i | −0.136821 | − | 0.990596i | \(-0.543688\pi\) |
−0.797204 | + | 0.603710i | \(0.793688\pi\) | |||||||
\(318\) | −2.53745 | − | 6.12595i | −0.142293 | − | 0.343526i | ||||
\(319\) | 21.1231i | 1.18267i | ||||||||
\(320\) | −2.88537 | + | 1.19516i | −0.161297 | + | 0.0668115i | ||||
\(321\) | 5.43387 | + | 5.43387i | 0.303289 | + | 0.303289i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0.438447 | 0.0243582 | ||||||||
\(325\) | −15.1104 | − | 15.1104i | −0.838174 | − | 0.838174i | ||||
\(326\) | 9.92120 | − | 4.10950i | 0.549485 | − | 0.227604i | ||||
\(327\) | 15.1231i | 0.836310i | ||||||||
\(328\) | −0.524015 | − | 1.26508i | −0.0289339 | − | 0.0698526i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −0.859588 | + | 2.07523i | −0.0473188 | + | 0.114238i | ||||
\(331\) | 4.29152 | − | 4.29152i | 0.235883 | − | 0.235883i | −0.579260 | − | 0.815143i | \(-0.696658\pi\) |
0.815143 | + | 0.579260i | \(0.196658\pi\) | |||||||
\(332\) | −2.82843 | + | 2.82843i | −0.155230 | + | 0.155230i | ||||
\(333\) | −1.19516 | + | 2.88537i | −0.0654944 | + | 0.158117i | ||||
\(334\) | −1.16535 | − | 0.482704i | −0.0637651 | − | 0.0264124i | ||||
\(335\) | 0.859588 | + | 2.07523i | 0.0469643 | + | 0.113382i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 30.2466 | − | 12.5285i | 1.64763 | − | 0.682473i | 0.650600 | − | 0.759421i | \(-0.274518\pi\) |
0.997035 | + | 0.0769482i | \(0.0245176\pi\) | |||||||
\(338\) | −8.62121 | − | 8.62121i | −0.468932 | − | 0.468932i | ||||
\(339\) | −4.56155 | −0.247750 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 13.1231 | 0.710656 | ||||||||
\(342\) | 8.48528 | + | 8.48528i | 0.458831 | + | 0.458831i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 18.7386i | 1.01032i | ||||||||
\(345\) | −1.41006 | − | 3.40418i | −0.0759150 | − | 0.183275i | ||||
\(346\) | 27.1337 | + | 11.2392i | 1.45872 | + | 0.604221i | ||||
\(347\) | 9.37284 | − | 22.6280i | 0.503161 | − | 1.21474i | −0.444593 | − | 0.895733i | \(-0.646652\pi\) |
0.947753 | − | 0.319004i | \(-0.103348\pi\) | |||||||
\(348\) | 2.55656 | − | 2.55656i | 0.137046 | − | 0.137046i | ||||
\(349\) | 5.25978 | − | 5.25978i | 0.281549 | − | 0.281549i | −0.552177 | − | 0.833727i | \(-0.686203\pi\) |
0.833727 | + | 0.552177i | \(0.186203\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.21433 | − | 1.74563i | −0.224944 | − | 0.0931749i | ||||
\(352\) | −2.39032 | − | 5.77075i | −0.127405 | − | 0.307582i | ||||
\(353\) | − | 22.4924i | − | 1.19715i | −0.801066 | − | 0.598575i | \(-0.795734\pi\) | ||
0.801066 | − | 0.598575i | \(-0.204266\pi\) | |||||||
\(354\) | 1.62029 | − | 0.671146i | 0.0861174 | − | 0.0356710i | ||||
\(355\) | 4.06854 | + | 4.06854i | 0.215936 | + | 0.215936i | ||||
\(356\) | −3.12311 | −0.165524 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −14.2462 | −0.752936 | ||||||||
\(359\) | −1.58831 | − | 1.58831i | −0.0838279 | − | 0.0838279i | 0.663950 | − | 0.747777i | \(-0.268879\pi\) |
−0.747777 | + | 0.663950i | \(0.768879\pi\) | |||||||
\(360\) | −1.26508 | + | 0.524015i | −0.0666758 | + | 0.0276180i | ||||
\(361\) | 40.0540i | 2.10810i | ||||||||
\(362\) | 3.58548 | + | 8.65612i | 0.188449 | + | 0.454956i | ||||
\(363\) | −4.10059 | − | 1.69852i | −0.215225 | − | 0.0891492i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.68608 | − | 1.68608i | 0.0882533 | − | 0.0882533i | ||||
\(366\) | −0.968253 | + | 0.968253i | −0.0506114 | + | 0.0506114i | ||||
\(367\) | 6.98252 | − | 16.8573i | 0.364485 | − | 0.879944i | −0.630148 | − | 0.776475i | \(-0.717006\pi\) |
0.994633 | − | 0.103469i | \(-0.0329942\pi\) | |||||||
\(368\) | 28.3988 | + | 11.7632i | 1.48039 | + | 0.613197i | ||||
\(369\) | −0.214897 | − | 0.518807i | −0.0111871 | − | 0.0270080i | ||||
\(370\) | 2.73863i | 0.142375i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −1.58831 | − | 1.58831i | −0.0823501 | − | 0.0823501i | ||||
\(373\) | −16.2462 | −0.841197 | −0.420598 | − | 0.907247i | \(-0.638180\pi\) | ||||
−0.420598 | + | 0.907247i | \(0.638180\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −5.43845 | −0.280840 | ||||||||
\(376\) | 4.96046 | + | 4.96046i | 0.255816 | + | 0.255816i | ||||
\(377\) | −34.7522 | + | 14.3948i | −1.78983 | + | 0.741372i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.59220 | − | 11.0866i | −0.235886 | − | 0.569478i | 0.760964 | − | 0.648794i | \(-0.224726\pi\) |
−0.996850 | + | 0.0793161i | \(0.974726\pi\) | |||||||
\(380\) | 1.74803 | + | 0.724056i | 0.0896718 | + | 0.0371433i | ||||
\(381\) | 0.309118 | − | 0.746277i | 0.0158366 | − | 0.0382329i | ||||
\(382\) | 14.4903 | − | 14.4903i | 0.741390 | − | 0.741390i | ||||
\(383\) | −7.24517 | + | 7.24517i | −0.370211 | + | 0.370211i | −0.867554 | − | 0.497343i | \(-0.834309\pi\) |
0.497343 | + | 0.867554i | \(0.334309\pi\) | |||||||
\(384\) | 5.18978 | − | 12.5292i | 0.264840 | − | 0.639380i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 14.4891 | + | 34.9797i | 0.737474 | + | 1.78042i | ||||
\(387\) | 7.68466i | 0.390633i | ||||||||
\(388\) | −4.50566 | + | 1.86631i | −0.228740 | + | 0.0947474i | ||||
\(389\) | 15.4586 | + | 15.4586i | 0.783781 | + | 0.783781i | 0.980467 | − | 0.196685i | \(-0.0630177\pi\) |
−0.196685 | + | 0.980467i | \(0.563018\pi\) | |||||||
\(390\) | −4.00000 | −0.202548 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 17.0691 | 0.862121 | ||||||||
\(393\) | −13.1250 | − | 13.1250i | −0.662069 | − | 0.662069i | ||||
\(394\) | −28.7540 | + | 11.9103i | −1.44861 | + | 0.600032i | ||||
\(395\) | − | 8.63068i | − | 0.434257i | ||||||
\(396\) | −0.429794 | − | 1.03761i | −0.0215980 | − | 0.0521421i | ||||
\(397\) | −4.96060 | − | 2.05475i | −0.248965 | − | 0.103125i | 0.254711 | − | 0.967017i | \(-0.418020\pi\) |
−0.503677 | + | 0.863892i | \(0.668020\pi\) | |||||||
\(398\) | 9.56129 | − | 23.0830i | 0.479264 | − | 1.15705i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 15.5182 | − | 15.5182i | 0.775909 | − | 0.775909i | ||||
\(401\) | 2.36387 | − | 5.70688i | 0.118046 | − | 0.284988i | −0.853802 | − | 0.520598i | \(-0.825709\pi\) |
0.971848 | + | 0.235610i | \(0.0757089\pi\) | |||||||
\(402\) | −5.77075 | − | 2.39032i | −0.287819 | − | 0.119218i | ||||
\(403\) | 8.94305 | + | 21.5904i | 0.445485 | + | 1.07550i | ||||
\(404\) | − | 8.38447i | − | 0.417143i | ||||||
\(405\) | −0.518807 | + | 0.214897i | −0.0257797 | + | 0.0106783i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.00000 | 0.396545 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.31534 | −0.114486 | −0.0572431 | − | 0.998360i | \(-0.518231\pi\) | ||||
−0.0572431 | + | 0.998360i | \(0.518231\pi\) | |||||||
\(410\) | −0.348195 | − | 0.348195i | −0.0171961 | − | 0.0171961i | ||||
\(411\) | −15.0095 | + | 6.21716i | −0.740366 | + | 0.306670i | ||||
\(412\) | 1.89205i | 0.0932146i | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 9.46626 | + | 3.92106i | 0.465242 | + | 0.192709i | ||||
\(415\) | 1.96053 | − | 4.73313i | 0.0962385 | − | 0.232340i | ||||
\(416\) | 7.86522 | − | 7.86522i | 0.385624 | − | 0.385624i | ||||
\(417\) | 6.45101 | − | 6.45101i | 0.315907 | − | 0.315907i | ||||
\(418\) | 11.7632 | − | 28.3988i | 0.575355 | − | 1.38903i | ||||
\(419\) | 30.0191 | + | 12.4343i | 1.46653 | + | 0.607456i | 0.966064 | − | 0.258302i | \(-0.0831628\pi\) |
0.500464 | + | 0.865757i | \(0.333163\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 28.5616i | − | 1.39200i | −0.718039 | − | 0.696002i | \(-0.754960\pi\) | ||
0.718039 | − | 0.696002i | \(-0.245040\pi\) | |||||||
\(422\) | −16.4024 | + | 6.79408i | −0.798454 | + | 0.330731i | ||||
\(423\) | 2.03427 | + | 2.03427i | 0.0989097 | + | 0.0989097i | ||||
\(424\) | −10.3542 | −0.502843 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −16.0000 | −0.775203 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −3.11284 | + | 1.28938i | −0.150465 | + | 0.0623246i | ||||
\(429\) | 11.6847i | 0.564141i | ||||||||
\(430\) | 2.57876 | + | 6.22569i | 0.124359 | + | 0.300229i | ||||
\(431\) | 22.1731 | + | 9.18440i | 1.06804 | + | 0.442397i | 0.846299 | − | 0.532708i | \(-0.178826\pi\) |
0.221742 | + | 0.975105i | \(0.428826\pi\) | |||||||
\(432\) | 1.79274 | − | 4.32806i | 0.0862533 | − | 0.208234i | ||||
\(433\) | −10.1225 | + | 10.1225i | −0.486455 | + | 0.486455i | −0.907186 | − | 0.420731i | \(-0.861774\pi\) |
0.420731 | + | 0.907186i | \(0.361774\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.77209 | + | 4.27819i | −0.0849650 | + | 0.205124i | ||||
\(436\) | −6.12595 | − | 2.53745i | −0.293380 | − | 0.121522i | ||||
\(437\) | 19.2962 | + | 46.5850i | 0.923060 | + | 2.22847i | ||||
\(438\) | 6.63068i | 0.316826i | ||||||||
\(439\) | −5.31581 | + | 2.20188i | −0.253710 | + | 0.105090i | −0.505914 | − | 0.862584i | \(-0.668845\pi\) |
0.252204 | + | 0.967674i | \(0.418845\pi\) | |||||||
\(440\) | 2.48023 | + | 2.48023i | 0.118240 | + | 0.118240i | ||||
\(441\) | 7.00000 | 0.333333 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −22.8769 | −1.08691 | −0.543457 | − | 0.839437i | \(-0.682885\pi\) | ||||
−0.543457 | + | 0.839437i | \(0.682885\pi\) | |||||||
\(444\) | −0.968253 | − | 0.968253i | −0.0459513 | − | 0.0459513i | ||||
\(445\) | 3.69552 | − | 1.53073i | 0.175184 | − | 0.0725637i | ||||
\(446\) | 21.7538i | 1.03007i | ||||||||
\(447\) | 1.62495 | + | 3.92299i | 0.0768577 | + | 0.185551i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −4.87486 | + | 11.7690i | −0.230059 | + | 0.555412i | −0.996184 | − | 0.0872802i | \(-0.972182\pi\) |
0.766125 | + | 0.642692i | \(0.222182\pi\) | |||||||
\(450\) | 5.17273 | − | 5.17273i | 0.243845 | − | 0.243845i | ||||
\(451\) | −1.01714 | + | 1.01714i | −0.0478951 | + | 0.0478951i | ||||
\(452\) | 0.765367 | − | 1.84776i | 0.0359998 | − | 0.0869113i | ||||
\(453\) | −7.39104 | − | 3.06147i | −0.347261 | − | 0.143840i | ||||
\(454\) | −13.7766 | − | 33.2597i | −0.646568 | − | 1.56095i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 17.3122 | − | 7.17096i | 0.810720 | − | 0.335811i | ||||
\(457\) | 4.81382 | + | 4.81382i | 0.225181 | + | 0.225181i | 0.810676 | − | 0.585495i | \(-0.199100\pi\) |
−0.585495 | + | 0.810676i | \(0.699100\pi\) | |||||||
\(458\) | −9.36932 | −0.437799 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.61553 | 0.0753244 | ||||||||
\(461\) | 5.83095 | + | 5.83095i | 0.271575 | + | 0.271575i | 0.829734 | − | 0.558159i | \(-0.188492\pi\) |
−0.558159 | + | 0.829734i | \(0.688492\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 24.9848i | 1.16114i | 0.814209 | + | 0.580572i | \(0.197171\pi\) | ||||
−0.814209 | + | 0.580572i | \(0.802829\pi\) | |||||||
\(464\) | −14.7833 | − | 35.6901i | −0.686299 | − | 1.65687i | ||||
\(465\) | 2.65790 | + | 1.10094i | 0.123257 | + | 0.0510549i | ||||
\(466\) | 0.335573 | − | 0.810145i | 0.0155451 | − | 0.0375292i | ||||
\(467\) | 2.38247 | − | 2.38247i | 0.110247 | − | 0.110247i | −0.649831 | − | 0.760079i | \(-0.725160\pi\) |
0.760079 | + | 0.649831i | \(0.225160\pi\) | |||||||
\(468\) | 1.41421 | − | 1.41421i | 0.0653720 | − | 0.0653720i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 2.33070 | + | 0.965408i | 0.107507 | + | 0.0445309i | ||||
\(471\) | −2.17542 | − | 5.25194i | −0.100238 | − | 0.241997i | ||||
\(472\) | − | 2.73863i | − | 0.126056i | ||||||
\(473\) | 18.1863 | − | 7.53299i | 0.836205 | − | 0.346367i | ||||
\(474\) | 16.9706 | + | 16.9706i | 0.779484 | + | 0.779484i | ||||
\(475\) | 36.0000 | 1.65179 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −4.24621 | −0.194421 | ||||||||
\(478\) | 11.3137 | + | 11.3137i | 0.517477 | + | 0.517477i | ||||
\(479\) | 27.0698 | − | 11.2127i | 1.23685 | − | 0.512321i | 0.334123 | − | 0.942529i | \(-0.391560\pi\) |
0.902730 | + | 0.430208i | \(0.141560\pi\) | |||||||
\(480\) | − | 1.36932i | − | 0.0625005i | ||||||
\(481\) | 5.45179 | + | 13.1618i | 0.248580 | + | 0.600126i | ||||
\(482\) | 30.8292 | + | 12.7699i | 1.40423 | + | 0.581652i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.37605 | − | 1.37605i | 0.0625476 | − | 0.0625476i | ||||
\(485\) | 4.41674 | − | 4.41674i | 0.200554 | − | 0.200554i | ||||
\(486\) | 0.597580 | − | 1.44269i | 0.0271068 | − | 0.0654416i | ||||
\(487\) | −6.80836 | − | 2.82012i | −0.308516 | − | 0.127792i | 0.223053 | − | 0.974806i | \(-0.428398\pi\) |
−0.531570 | + | 0.847015i | \(0.678398\pi\) | |||||||
\(488\) | 0.818277 | + | 1.97550i | 0.0370417 | + | 0.0894265i | ||||
\(489\) | − | 6.87689i | − | 0.310984i | ||||||
\(490\) | 5.67101 | − | 2.34901i | 0.256190 | − | 0.106117i | ||||
\(491\) | −2.38247 | − | 2.38247i | −0.107519 | − | 0.107519i | 0.651301 | − | 0.758820i | \(-0.274224\pi\) |
−0.758820 | + | 0.651301i | \(0.774224\pi\) | |||||||
\(492\) | 0.246211 | 0.0111001 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 54.7386 | 2.46281 | ||||||||
\(495\) | 1.01714 | + | 1.01714i | 0.0457169 | + | 0.0457169i | ||||
\(496\) | −22.1731 | + | 9.18440i | −0.995602 | + | 0.412392i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 5.45179 | + | 13.1618i | 0.244301 | + | 0.589794i | ||||
\(499\) | 10.5039 | + | 4.35085i | 0.470218 | + | 0.194771i | 0.605194 | − | 0.796078i | \(-0.293096\pi\) |
−0.134976 | + | 0.990849i | \(0.543096\pi\) | |||||||
\(500\) | 0.912498 | − | 2.20296i | 0.0408081 | − | 0.0985196i | ||||
\(501\) | −0.571175 | + | 0.571175i | −0.0255182 | + | 0.0255182i | ||||
\(502\) | −27.0442 | + | 27.0442i | −1.20704 | + | 1.20704i | ||||
\(503\) | 9.73487 | − | 23.5021i | 0.434057 | − | 1.04791i | −0.543910 | − | 0.839144i | \(-0.683057\pi\) |
0.977967 | − | 0.208762i | \(-0.0669433\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.10950 | + | 9.92120i | 0.182870 | + | 0.441488i | ||||
\(506\) | − | 26.2462i | − | 1.16679i | ||||||
\(507\) | −7.21343 | + | 2.98790i | −0.320360 | + | 0.132697i | ||||
\(508\) | 0.250430 | + | 0.250430i | 0.0111110 | + | 0.0111110i | ||||
\(509\) | −16.8769 | −0.748055 | −0.374028 | − | 0.927418i | \(-0.622023\pi\) | ||||
−0.374028 | + | 0.927418i | \(0.622023\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −8.07749 | − | 8.07749i | −0.356978 | − | 0.356978i | ||||
\(513\) | 7.09970 | − | 2.94079i | 0.313459 | − | 0.129839i | ||||
\(514\) | 14.6307i | 0.645332i | ||||||||
\(515\) | −0.927354 | − | 2.23883i | −0.0408641 | − | 0.0986546i | ||||
\(516\) | −3.11284 | − | 1.28938i | −0.137035 | − | 0.0567619i | ||||
\(517\) | 2.82012 | − | 6.80836i | 0.124029 | − | 0.299431i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 13.2991 | − | 13.2991i | 0.583766 | − | 0.583766i | ||||
\(520\) | −2.39032 | + | 5.77075i | −0.104823 | + | 0.253064i | ||||
\(521\) | −29.0453 | − | 12.0310i | −1.27250 | − | 0.527086i | −0.358776 | − | 0.933424i | \(-0.616806\pi\) |
−0.913723 | + | 0.406337i | \(0.866806\pi\) | |||||||
\(522\) | −4.92777 | − | 11.8967i | −0.215683 | − | 0.520704i | ||||
\(523\) | 20.0000i | 0.874539i | 0.899331 | + | 0.437269i | \(0.144054\pi\) | ||||
−0.899331 | + | 0.437269i | \(0.855946\pi\) | |||||||
\(524\) | 7.51877 | − | 3.11438i | 0.328459 | − | 0.136052i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −19.5076 | −0.850571 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −12.0000 | −0.522233 | ||||||||
\(529\) | 14.1803 | + | 14.1803i | 0.616535 | + | 0.616535i | ||||
\(530\) | −3.44005 | + | 1.42491i | −0.149426 | + | 0.0618943i | ||||
\(531\) | − | 1.12311i | − | 0.0487386i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −2.36657 | − | 0.980264i | −0.102507 | − | 0.0424599i | ||||
\(534\) | −4.25663 | + | 10.2764i | −0.184202 | + | 0.444704i | ||||
\(535\) | 3.05141 | − | 3.05141i | 0.131924 | − | 0.131924i | ||||
\(536\) | −6.89697 | + | 6.89697i | −0.297904 | + | 0.297904i | ||||
\(537\) | −3.49126 | + | 8.42865i | −0.150659 | + | 0.363723i | ||||
\(538\) | 29.6639 | + | 12.2872i | 1.27890 | + | 0.529738i | ||||
\(539\) | −6.86185 | − | 16.5660i | −0.295561 | − | 0.713547i | ||||
\(540\) | − | 0.246211i | − | 0.0105952i | ||||||
\(541\) | −37.0549 | + | 15.3486i | −1.59312 | + | 0.659890i | −0.990421 | − | 0.138082i | \(-0.955906\pi\) |
−0.602694 | + | 0.797972i | \(0.705906\pi\) | |||||||
\(542\) | 0.891921 | + | 0.891921i | 0.0383113 | + | 0.0383113i | ||||
\(543\) | 6.00000 | 0.257485 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 8.49242 | 0.363775 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −25.8686 | + | 10.7151i | −1.10606 | + | 0.458146i | −0.859580 | − | 0.511001i | \(-0.829275\pi\) |
−0.246483 | + | 0.969147i | \(0.579275\pi\) | |||||||
\(548\) | − | 7.12311i | − | 0.304284i | ||||||
\(549\) | 0.335573 | + | 0.810145i | 0.0143219 | + | 0.0345761i | ||||
\(550\) | −17.3122 | − | 7.17096i | −0.738196 | − | 0.305771i | ||||
\(551\) | 24.2504 | − | 58.5456i | 1.03310 | − | 2.49413i | ||||
\(552\) | 11.3137 | − | 11.3137i | 0.481543 | − | 0.481543i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −3.58548 | + | 8.65612i | −0.152333 | + | 0.367763i | ||||
\(555\) | 1.62029 | + | 0.671146i | 0.0687775 | + | 0.0284886i | ||||
\(556\) | 1.53073 | + | 3.69552i | 0.0649176 | + | 0.156725i | ||||
\(557\) | 6.49242i | 0.275093i | 0.990495 | + | 0.137546i | \(0.0439216\pi\) | ||||
−0.990495 | + | 0.137546i | \(0.956078\pi\) | |||||||
\(558\) | −7.39104 | + | 3.06147i | −0.312888 | + | 0.129602i | ||||
\(559\) | 24.7869 | + | 24.7869i | 1.04837 | + | 1.04837i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −29.8617 | −1.25964 | ||||||||
\(563\) | 16.1764 | + | 16.1764i | 0.681754 | + | 0.681754i | 0.960395 | − | 0.278641i | \(-0.0898840\pi\) |
−0.278641 | + | 0.960395i | \(0.589884\pi\) | |||||||
\(564\) | −1.16535 | + | 0.482704i | −0.0490701 | + | 0.0203255i | ||||
\(565\) | 2.56155i | 0.107765i | ||||||||
\(566\) | −2.01344 | − | 4.86087i | −0.0846311 | − | 0.204318i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −9.56129 | + | 23.0830i | −0.401183 | + | 0.968541i | ||||
\(569\) | −9.10534 | + | 9.10534i | −0.381716 | + | 0.381716i | −0.871720 | − | 0.490004i | \(-0.836995\pi\) |
0.490004 | + | 0.871720i | \(0.336995\pi\) | |||||||
\(570\) | 4.76493 | − | 4.76493i | 0.199581 | − | 0.199581i | ||||
\(571\) | −7.17096 | + | 17.3122i | −0.300096 | + | 0.724495i | 0.699852 | + | 0.714288i | \(0.253249\pi\) |
−0.999948 | + | 0.0102072i | \(0.996751\pi\) | |||||||
\(572\) | −4.73313 | − | 1.96053i | −0.197902 | − | 0.0819738i | ||||
\(573\) | −5.02200 | − | 12.1242i | −0.209797 | − | 0.506494i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 28.3988 | − | 11.7632i | 1.18431 | − | 0.490558i | ||||
\(576\) | −3.93261 | − | 3.93261i | −0.163859 | − | 0.163859i | ||||
\(577\) | 41.0540 | 1.70910 | 0.854550 | − | 0.519370i | \(-0.173833\pi\) | ||||
0.854550 | + | 0.519370i | \(0.173833\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 24.2462 | 1.00764 | ||||||||
\(580\) | −1.43565 | − | 1.43565i | −0.0596120 | − | 0.0596120i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 17.3693i | 0.719981i | ||||||||
\(583\) | 4.16241 | + | 10.0489i | 0.172389 | + | 0.416185i | ||||
\(584\) | 9.56600 | + | 3.96237i | 0.395844 | + | 0.163964i | ||||
\(585\) | −0.980264 | + | 2.36657i | −0.0405289 | + | 0.0978455i | ||||
\(586\) | 7.86522 | − | 7.86522i | 0.324909 | − | 0.324909i | ||||
\(587\) | 26.1522 | − | 26.1522i | 1.07942 | − | 1.07942i | 0.0828568 | − | 0.996561i | \(-0.473596\pi\) |
0.996561 | − | 0.0828568i | \(-0.0264044\pi\) | |||||||
\(588\) | −1.17451 | + | 2.83551i | −0.0484358 | + | 0.116934i | ||||
\(589\) | −36.3725 | − | 15.0660i | −1.49870 | − | 0.620783i | ||||
\(590\) | −0.376884 | − | 0.909878i | −0.0155161 | − | 0.0374591i | ||||
\(591\) | 19.9309i | 0.819846i | ||||||||
\(592\) | −13.5170 | + | 5.59892i | −0.555545 | + | 0.230114i | ||||
\(593\) | −31.2868 | − | 31.2868i | −1.28479 | − | 1.28479i | −0.937906 | − | 0.346888i | \(-0.887238\pi\) |
−0.346888 | − | 0.937906i | \(-0.612762\pi\) | |||||||
\(594\) | −4.00000 | −0.164122 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −1.86174 | −0.0762598 | ||||||||
\(597\) | −11.3137 | − | 11.3137i | −0.463039 | − | 0.463039i | ||||
\(598\) | 43.1809 | − | 17.8861i | 1.76580 | − | 0.731417i | ||||
\(599\) | − | 41.6155i | − | 1.70036i | −0.526489 | − | 0.850182i | \(-0.676492\pi\) | ||
0.526489 | − | 0.850182i | \(-0.323508\pi\) | |||||||
\(600\) | −4.37150 | − | 10.5537i | −0.178466 | − | 0.430855i | ||||
\(601\) | −32.3218 | − | 13.3881i | −1.31843 | − | 0.546113i | −0.391099 | − | 0.920348i | \(-0.627905\pi\) |
−0.927334 | + | 0.374236i | \(0.877905\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.82843 | + | 2.82843i | −0.115182 | + | 0.115182i | ||||
\(604\) | 2.48023 | − | 2.48023i | 0.100919 | − | 0.100919i | ||||
\(605\) | −0.953809 | + | 2.30270i | −0.0387778 | + | 0.0936180i | ||||
\(606\) | −27.5886 | − | 11.4276i | −1.12071 | − | 0.464214i | ||||
\(607\) | −5.88158 | − | 14.1994i | −0.238726 | − | 0.576336i | 0.758425 | − | 0.651760i | \(-0.225969\pi\) |
−0.997152 | + | 0.0754240i | \(0.975969\pi\) | |||||||
\(608\) | 18.7386i | 0.759952i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.543725 | + | 0.543725i | 0.0220148 | + | 0.0220148i | ||||
\(611\) | 13.1231 | 0.530904 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2.31534 | 0.0935158 | 0.0467579 | − | 0.998906i | \(-0.485111\pi\) | ||||
0.0467579 | + | 0.998906i | \(0.485111\pi\) | |||||||
\(614\) | −0.543725 | − | 0.543725i | −0.0219430 | − | 0.0219430i | ||||
\(615\) | −0.291338 | + | 0.120676i | −0.0117479 | + | 0.00486613i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −10.6209 | − | 25.6412i | −0.427582 | − | 1.03227i | −0.980052 | − | 0.198741i | \(-0.936315\pi\) |
0.552470 | − | 0.833533i | \(-0.313685\pi\) | |||||||
\(618\) | 6.22569 | + | 2.57876i | 0.250434 | + | 0.103733i | ||||
\(619\) | −7.41232 | + | 17.8949i | −0.297926 | + | 0.719257i | 0.702048 | + | 0.712129i | \(0.252269\pi\) |
−0.999975 | + | 0.00712818i | \(0.997731\pi\) | |||||||
\(620\) | −0.891921 | + | 0.891921i | −0.0358204 | + | 0.0358204i | ||||
\(621\) | 4.63972 | − | 4.63972i | 0.186185 | − | 0.186185i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −8.17768 | − | 19.7427i | −0.327369 | − | 0.790340i | ||||
\(625\) | − | 20.3693i | − | 0.814773i | ||||||
\(626\) | −10.9868 | + | 4.55089i | −0.439122 | + | 0.181890i | ||||
\(627\) | −13.9192 | − | 13.9192i | −0.555878 | − | 0.555878i | ||||
\(628\) | 2.49242 | 0.0994585 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.26230 | + | 8.26230i | 0.328917 | + | 0.328917i | 0.852175 | − | 0.523258i | \(-0.175283\pi\) |
−0.523258 | + | 0.852175i | \(0.675283\pi\) | |||||||
\(632\) | 34.6245 | − | 14.3419i | 1.37729 | − | 0.570491i | ||||
\(633\) | 11.3693i | 0.451890i | ||||||||
\(634\) | −10.7564 | − | 25.9684i | −0.427193 | − | 1.03134i | ||||
\(635\) | −0.419074 | − | 0.173586i | −0.0166304 | − | 0.00688855i | ||||
\(636\) | 0.712457 | − | 1.72002i | 0.0282508 | − | 0.0682033i | ||||
\(637\) | 22.5785 | − | 22.5785i | 0.894594 | − | 0.894594i | ||||
\(638\) | −23.3238 | + | 23.3238i | −0.923398 | + | 0.923398i | ||||
\(639\) | −3.92106 | + | 9.46626i | −0.155115 | + | 0.374480i | ||||
\(640\) | −7.03583 | − | 2.91434i | −0.278116 | − | 0.115199i | ||||
\(641\) | 0.0264550 | + | 0.0638681i | 0.00104491 | + | 0.00252264i | 0.924401 | − | 0.381422i | \(-0.124565\pi\) |
−0.923356 | + | 0.383944i | \(0.874565\pi\) | |||||||
\(642\) | 12.0000i | 0.473602i | ||||||||
\(643\) | −27.9439 | + | 11.5747i | −1.10200 | + | 0.456463i | −0.858175 | − | 0.513357i | \(-0.828402\pi\) |
−0.243823 | + | 0.969820i | \(0.578402\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.31534 | 0.169916 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 15.3693 | 0.604230 | 0.302115 | − | 0.953271i | \(-0.402307\pi\) | ||||
0.302115 | + | 0.953271i | \(0.402307\pi\) | |||||||
\(648\) | −1.72424 | − | 1.72424i | −0.0677346 | − | 0.0677346i | ||||
\(649\) | −2.65790 | + | 1.10094i | −0.104332 | + | 0.0432157i | ||||
\(650\) | − | 33.3693i | − | 1.30885i | ||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.78564 | + | 1.15385i | 0.109094 | + | 0.0451882i | ||||
\(653\) | −1.55719 | + | 3.75939i | −0.0609375 | + | 0.147116i | −0.951415 | − | 0.307910i | \(-0.900370\pi\) |
0.890478 | + | 0.455027i | \(0.150370\pi\) | |||||||
\(654\) | −16.6987 | + | 16.6987i | −0.652971 | + | 0.652971i | ||||
\(655\) | −7.37038 | + | 7.37038i | −0.287985 | + | 0.287985i | ||||
\(656\) | 1.00672 | − | 2.43043i | 0.0393058 | − | 0.0948925i | ||||
\(657\) | 3.92299 | + | 1.62495i | 0.153050 | + | 0.0633955i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 47.8617i | − | 1.86443i | −0.361907 | − | 0.932214i | \(-0.617874\pi\) | ||
0.361907 | − | 0.932214i | \(-0.382126\pi\) | |||||||
\(660\) | −0.582675 | + | 0.241352i | −0.0226806 | + | 0.00939461i | ||||
\(661\) | −18.1618 | − | 18.1618i | −0.706412 | − | 0.706412i | 0.259367 | − | 0.965779i | \(-0.416486\pi\) |
−0.965779 | + | 0.259367i | \(0.916486\pi\) | |||||||
\(662\) | 9.47727 | 0.368344 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 22.2462 | 0.863320 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −4.50566 | + | 1.86631i | −0.174591 | + | 0.0723179i | ||||
\(667\) | − | 54.1080i | − | 2.09507i | ||||||
\(668\) | −0.135532 | − | 0.327203i | −0.00524389 | − | 0.0126599i | ||||
\(669\) | 12.8704 | + | 5.33111i | 0.497600 | + | 0.206113i | ||||
\(670\) | −1.34229 | + | 3.24058i | −0.0518573 | + | 0.125194i | ||||
\(671\) | 1.58831 | − | 1.58831i | 0.0613161 | − | 0.0613161i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −18.6515 | + | 45.0286i | −0.718961 | + | 1.73573i | −0.0426728 | + | 0.999089i | \(0.513587\pi\) |
−0.676288 | + | 0.736637i | \(0.736413\pi\) | |||||||
\(674\) | 47.2316 | + | 19.5640i | 1.81929 | + | 0.753576i | ||||
\(675\) | −1.79274 | − | 4.32806i | −0.0690026 | − | 0.166587i | ||||
\(676\) | − | 3.42329i | − | 0.131665i | ||||||
\(677\) | −12.6430 | + | 5.23689i | −0.485909 | + | 0.201270i | −0.612169 | − | 0.790727i | \(-0.709703\pi\) |
0.126260 | + | 0.991997i | \(0.459703\pi\) | |||||||
\(678\) | −5.03680 | − | 5.03680i | −0.193437 | − | 0.193437i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −23.0540 | −0.883430 | ||||||||
\(682\) | 14.4903 | + | 14.4903i | 0.554863 | + | 0.554863i | ||||
\(683\) | 5.02447 | − | 2.08120i | 0.192256 | − | 0.0796350i | −0.284478 | − | 0.958682i | \(-0.591820\pi\) |
0.476734 | + | 0.879047i | \(0.341820\pi\) | |||||||
\(684\) | 3.36932i | 0.128829i | ||||||||
\(685\) | 3.49126 | + | 8.42865i | 0.133394 | + | 0.322042i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −2.29610 | + | 5.54328i | −0.0876017 | + | 0.211489i | ||||
\(688\) | −25.4558 | + | 25.4558i | −0.970495 | + | 0.970495i | ||||
\(689\) | −13.6962 | + | 13.6962i | −0.521783 | + | 0.521783i | ||||
\(690\) | 2.20188 | − | 5.31581i | 0.0838241 | − | 0.202369i | ||||
\(691\) | 34.1695 | + | 14.1535i | 1.29987 | + | 0.538424i | 0.921912 | − | 0.387399i | \(-0.126626\pi\) |
0.377958 | + | 0.925823i | \(0.376626\pi\) | |||||||
\(692\) | 3.15569 | + | 7.61851i | 0.119961 | + | 0.289612i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 35.3349 | − | 14.6362i | 1.34129 | − | 0.555582i | ||||
\(695\) | −3.62258 | − | 3.62258i | −0.137412 | − | 0.137412i | ||||
\(696\) | −20.1080 | −0.762190 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 11.6155 | 0.439654 | ||||||||
\(699\) | −0.397078 | − | 0.397078i | −0.0150189 | − | 0.0150189i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 9.36932i | − | 0.353874i | −0.984222 | − | 0.176937i | \(-0.943381\pi\) | ||
0.984222 | − | 0.176937i | \(-0.0566189\pi\) | |||||||
\(702\) | −2.72589 | − | 6.58089i | −0.102882 | − | 0.248380i | ||||
\(703\) | −22.1731 | − | 9.18440i | −0.836275 | − | 0.346396i | ||||
\(704\) | −5.45179 | + | 13.1618i | −0.205472 | + | 0.496053i | ||||
\(705\) | 1.14235 | − | 1.14235i | 0.0430234 | − | 0.0430234i | ||||
\(706\) | 24.8358 | − | 24.8358i | 0.934707 | − | 0.934707i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0.454939 | + | 0.188442i | 0.0170977 | + | 0.00708208i | ||||
\(709\) | −1.81340 | − | 4.37793i | −0.0681035 | − | 0.164416i | 0.886163 | − | 0.463374i | \(-0.153361\pi\) |
−0.954267 | + | 0.298957i | \(0.903361\pi\) | |||||||
\(710\) | 8.98485i | 0.337195i | ||||||||
\(711\) | 14.1994 | − | 5.88158i | 0.532519 | − | 0.220577i | ||||
\(712\) | 12.2820 | + | 12.2820i | 0.460286 | + | 0.460286i | ||||
\(713\) | −33.6155 | −1.25891 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.56155 | 0.245388 | ||||||||
\(716\) | −2.82843 | − | 2.82843i | −0.105703 | − | 0.105703i | ||||
\(717\) | 9.46626 | − | 3.92106i | 0.353524 | − | 0.146434i | ||||
\(718\) | − | 3.50758i | − | 0.130902i | ||||||
\(719\) | 3.37059 | + | 8.13731i | 0.125702 | + | 0.303471i | 0.974185 | − | 0.225752i | \(-0.0724838\pi\) |
−0.848483 | + | 0.529222i | \(0.822484\pi\) | |||||||
\(720\) | −2.43043 | − | 1.00672i | −0.0905769 | − | 0.0375182i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −44.2270 | + | 44.2270i | −1.64596 | + | 1.64596i | ||||
\(723\) | 15.1104 | − | 15.1104i | 0.561961 | − | 0.561961i | ||||
\(724\) | −1.00672 | + | 2.43043i | −0.0374144 | + | 0.0903264i | ||||
\(725\) | −35.6901 | − | 14.7833i | −1.32550 | − | 0.549039i | ||||
\(726\) | −2.65233 | − | 6.40329i | −0.0984372 | − | 0.237648i | ||||
\(727\) | 8.00000i | 0.296704i | 0.988935 | + | 0.148352i | \(0.0473968\pi\) | ||||
−0.988935 | + | 0.148352i | \(0.952603\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.707107 | − | 0.707107i | −0.0261891 | − | 0.0261891i | ||||
\(730\) | 3.72348 | 0.137812 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −0.384472 | −0.0142105 | ||||||||
\(733\) | −19.9731 | − | 19.9731i | −0.737723 | − | 0.737723i | 0.234414 | − | 0.972137i | \(-0.424683\pi\) |
−0.972137 | + | 0.234414i | \(0.924683\pi\) | |||||||
\(734\) | 26.3236 | − | 10.9036i | 0.971621 | − | 0.402458i | ||||
\(735\) | − | 3.93087i | − | 0.144992i | ||||||
\(736\) | 6.12293 | + | 14.7821i | 0.225694 | + | 0.544874i | ||||
\(737\) | 9.46626 | + | 3.92106i | 0.348694 | + | 0.144434i | ||||
\(738\) | 0.335573 | − | 0.810145i | 0.0123526 | − | 0.0298218i | ||||
\(739\) | 5.87983 | − | 5.87983i | 0.216293 | − | 0.216293i | −0.590641 | − | 0.806934i | \(-0.701125\pi\) |
0.806934 | + | 0.590641i | \(0.201125\pi\) | |||||||
\(740\) | −0.543725 | + | 0.543725i | −0.0199877 | + | 0.0199877i | ||||
\(741\) | 13.4146 | − | 32.3857i | 0.492797 | − | 1.18972i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.71918 | + | 4.15046i | 0.0630704 | + | 0.152266i | 0.952273 | − | 0.305249i | \(-0.0987397\pi\) |
−0.889202 | + | 0.457515i | \(0.848740\pi\) | |||||||
\(744\) | 12.4924i | 0.457994i | ||||||||
\(745\) | 2.20296 | − | 0.912498i | 0.0807104 | − | 0.0334313i | ||||
\(746\) | −17.9388 | − | 17.9388i | −0.656787 | − | 0.656787i | ||||
\(747\) | 9.12311 | 0.333797 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −6.00505 | − | 6.00505i | −0.219273 | − | 0.219273i | ||||
\(751\) | 0.582675 | − | 0.241352i | 0.0212621 | − | 0.00880706i | −0.372027 | − | 0.928222i | \(-0.621337\pi\) |
0.393289 | + | 0.919415i | \(0.371337\pi\) | |||||||
\(752\) | 13.4773i | 0.491465i | ||||||||
\(753\) | 9.37284 | + | 22.6280i | 0.341565 | + | 0.824612i | ||||
\(754\) | −54.2674 | − | 22.4783i | −1.97630 | − | 0.818611i | ||||
\(755\) | −1.71918 | + | 4.15046i | −0.0625672 | + | 0.151051i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −14.8874 | + | 14.8874i | −0.541092 | + | 0.541092i | −0.923849 | − | 0.382757i | \(-0.874975\pi\) |
0.382757 | + | 0.923849i | \(0.374975\pi\) | |||||||
\(758\) | 7.17096 | − | 17.3122i | 0.260461 | − | 0.628809i | ||||
\(759\) | −15.5283 | − | 6.43205i | −0.563643 | − | 0.233469i | ||||
\(760\) | −4.02688 | − | 9.72174i | −0.146070 | − | 0.352644i | ||||
\(761\) | 32.2462i | 1.16892i | 0.811421 | + | 0.584462i | \(0.198694\pi\) | ||||
−0.811421 | + | 0.584462i | \(0.801306\pi\) | |||||||
\(762\) | 1.16535 | − | 0.482704i | 0.0422162 | − | 0.0174865i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 5.75379 | 0.208165 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −16.0000 | −0.578103 | ||||||||
\(767\) | −3.62258 | − | 3.62258i | −0.130804 | − | 0.130804i | ||||
\(768\) | 9.28866 | − | 3.84749i | 0.335176 | − | 0.138834i | ||||
\(769\) | − | 29.5464i | − | 1.06547i | −0.846282 | − | 0.532735i | \(-0.821164\pi\) | ||
0.846282 | − | 0.532735i | \(-0.178836\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8.65612 | + | 3.58548i | 0.311743 | + | 0.129128i | ||||
\(772\) | −4.06819 | + | 9.82147i | −0.146417 | + | 0.353482i | ||||
\(773\) | 23.5957 | − | 23.5957i | 0.848677 | − | 0.848677i | −0.141291 | − | 0.989968i | \(-0.545125\pi\) |
0.989968 | + | 0.141291i | \(0.0451253\pi\) | |||||||
\(774\) | −8.48528 | + | 8.48528i | −0.304997 | + | 0.304997i | ||||
\(775\) | −9.18440 | + | 22.1731i | −0.329913 | + | 0.796482i | ||||
\(776\) | 25.0585 | + | 10.3796i | 0.899547 | + | 0.372605i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 34.1383i | 1.22392i | ||||||||
\(779\) | 3.98686 | − | 1.65141i | 0.142844 | − | 0.0591679i | ||||
\(780\) | −0.794156 | − | 0.794156i | −0.0284353 | − | 0.0284353i | ||||
\(781\) | 26.2462 | 0.939163 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −8.24621 | −0.294696 | ||||||||
\(784\) | 23.1879 | + | 23.1879i | 0.828138 | + | 0.828138i | ||||
\(785\) | −2.94924 | + | 1.22162i | −0.105263 | + | 0.0436013i | ||||
\(786\) | − | 28.9848i | − | 1.03386i | ||||||
\(787\) | 2.39032 | + | 5.77075i | 0.0852058 | + | 0.205705i | 0.960739 | − | 0.277452i | \(-0.0894900\pi\) |
−0.875534 | + | 0.483157i | \(0.839490\pi\) | |||||||
\(788\) | −8.07344 | − | 3.34413i | −0.287605 | − | 0.119130i | ||||
\(789\) | −4.78064 | + | 11.5415i | −0.170195 | + | 0.410888i | ||||
\(790\) | 9.52987 | − | 9.52987i | 0.339057 | − | 0.339057i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −2.39032 | + | 5.77075i | −0.0849364 | + | 0.205055i | ||||
\(793\) | 3.69552 | + | 1.53073i | 0.131232 | + | 0.0543579i | ||||
\(794\) | −3.20860 | − | 7.74624i | −0.113869 | − | 0.274904i | ||||
\(795\) | 2.38447i | 0.0845685i | ||||||||
\(796\) | 6.48116 | − | 2.68458i | 0.229719 | − | 0.0951525i | ||||
\(797\) | −22.3556 | − | 22.3556i | −0.791874 | − | 0.791874i | 0.189924 | − | 0.981799i | \(-0.439176\pi\) |
−0.981799 | + | 0.189924i | \(0.939176\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 11.4233 | 0.403874 | ||||||||
\(801\) | 5.03680 | + | 5.03680i | 0.177966 | + | 0.177966i | ||||
\(802\) | 8.91159 | − | 3.69130i | 0.314679 | − | 0.130344i | ||||
\(803\) | − | 10.8769i | − | 0.383837i | ||||||
\(804\) | −0.671146 | − | 1.62029i | −0.0236695 | − | 0.0571432i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −13.9650 | + | 33.7146i | −0.491898 | + | 1.18755i | ||||
\(807\) | 14.5392 | − | 14.5392i | 0.511805 | − | 0.511805i | ||||
\(808\) | −32.9729 | + | 32.9729i | −1.15998 | + | 1.15998i | ||||
\(809\) | −20.3029 | + | 49.0155i | −0.713811 | + | 1.72329i | −0.0235603 | + | 0.999722i | \(0.507500\pi\) |
−0.690251 | + | 0.723570i | \(0.742500\pi\) | |||||||
\(810\) | −0.810145 | − | 0.335573i | −0.0284656 | − | 0.0117908i | ||||
\(811\) | 7.89502 | + | 19.0603i | 0.277232 | + | 0.669296i | 0.999757 | − | 0.0220481i | \(-0.00701869\pi\) |
−0.722525 | + | 0.691345i | \(0.757019\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0.746277 | − | 0.309118i | 0.0261731 | − | 0.0108412i | ||||
\(814\) | 8.83348 | + | 8.83348i | 0.309613 | + | 0.309613i | ||||
\(815\) | −3.86174 | −0.135271 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −59.0540 | −2.06604 | ||||||||
\(818\) | −2.55656 | − | 2.55656i | −0.0893882 | − | 0.0893882i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | − | 0.138261i | − | 0.00482827i | ||||||
\(821\) | −6.33783 | − | 15.3009i | −0.221192 | − | 0.534004i | 0.773861 | − | 0.633356i | \(-0.218323\pi\) |
−0.995052 | + | 0.0993517i | \(0.968323\pi\) | |||||||
\(822\) | −23.4382 | − | 9.70842i | −0.817501 | − | 0.338620i | ||||
\(823\) | 13.9650 | − | 33.7146i | 0.486791 | − | 1.17522i | −0.469535 | − | 0.882914i | \(-0.655578\pi\) |
0.956326 | − | 0.292303i | \(-0.0944216\pi\) | |||||||
\(824\) | 7.44070 | − | 7.44070i | 0.259209 | − | 0.259209i | ||||
\(825\) | −8.48528 | + | 8.48528i | −0.295420 | + | 0.295420i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −13.3254 | − | 5.51955i | −0.463369 | − | 0.191934i | 0.138771 | − | 0.990325i | \(-0.455685\pi\) |
−0.602140 | + | 0.798391i | \(0.705685\pi\) | |||||||
\(828\) | 1.10094 | + | 2.65790i | 0.0382603 | + | 0.0923685i | ||||
\(829\) | − | 50.4924i | − | 1.75367i | −0.480787 | − | 0.876837i | \(-0.659649\pi\) | ||
0.480787 | − | 0.876837i | \(-0.340351\pi\) | |||||||
\(830\) | 7.39104 | − | 3.06147i | 0.256547 | − | 0.106265i | ||||
\(831\) | 4.24264 | + | 4.24264i | 0.147176 | + | 0.147176i | ||||
\(832\) | −25.3693 | −0.879523 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 14.2462 | 0.493306 | ||||||||
\(835\) | 0.320745 | + | 0.320745i | 0.0110998 | + | 0.0110998i | ||||
\(836\) | 7.97371 | − | 3.30282i | 0.275777 | − | 0.114230i | ||||
\(837\) | 5.12311i | 0.177080i | ||||||||
\(838\) | 19.4168 | + | 46.8764i | 0.670743 | + | 1.61932i | ||||
\(839\) | −10.2125 | − | 4.23017i | −0.352576 | − | 0.146042i | 0.199364 | − | 0.979925i | \(-0.436112\pi\) |
−0.551940 | + | 0.833884i | \(0.686112\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −27.5772 | + | 27.5772i | −0.950937 | + | 0.950937i | ||||
\(842\) | 31.5372 | − | 31.5372i | 1.08684 | − | 1.08684i | ||||
\(843\) | −7.31810 | + | 17.6674i | −0.252049 | + | 0.608499i | ||||
\(844\) | −4.60540 | − | 1.90762i | −0.158524 | − | 0.0656629i | ||||
\(845\) | 1.67786 | + | 4.05072i | 0.0577203 | + | 0.139349i | ||||
\(846\) | 4.49242i | 0.154453i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −14.0658 | − | 14.0658i | −0.483022 | − | 0.483022i | ||||
\(849\) | −3.36932 | −0.115635 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −20.4924 | −0.702471 | ||||||||
\(852\) | −3.17662 | − | 3.17662i | −0.108829 | − | 0.108829i | ||||
\(853\) | −19.1600 | + | 7.93633i | −0.656026 | + | 0.271735i | −0.685765 | − | 0.727823i | \(-0.740532\pi\) |
0.0297393 | + | 0.999558i | \(0.490532\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −1.65141 | − | 3.98686i | −0.0564770 | − | 0.136348i | ||||
\(856\) | 17.3122 | + | 7.17096i | 0.591720 | + | 0.245099i | ||||
\(857\) | −2.29610 | + | 5.54328i | −0.0784333 | + | 0.189355i | −0.958232 | − | 0.285991i | \(-0.907677\pi\) |
0.879799 | + | 0.475346i | \(0.157677\pi\) | |||||||
\(858\) | −12.9020 | + | 12.9020i | −0.440468 | + | 0.440468i | ||||
\(859\) | 8.48528 | − | 8.48528i | 0.289514 | − | 0.289514i | −0.547374 | − | 0.836888i | \(-0.684372\pi\) |
0.836888 | + | 0.547374i | \(0.184372\pi\) | |||||||
\(860\) | −0.724056 | + | 1.74803i | −0.0246901 | + | 0.0596072i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 14.3419 | + | 34.6245i | 0.488488 | + | 1.17931i | ||||
\(863\) | 26.2462i | 0.893431i | 0.894676 | + | 0.446716i | \(0.147406\pi\) | ||||
−0.894676 | + | 0.446716i | \(0.852594\pi\) | |||||||
\(864\) | 2.25283 | − | 0.933153i | 0.0766429 | − | 0.0317465i | ||||
\(865\) | −7.46815 | − | 7.46815i | −0.253925 | − | 0.253925i | ||||
\(866\) | −22.3542 | −0.759625 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −27.8383 | − | 27.8383i | −0.944350 | − | 0.944350i | ||||
\(870\) | −6.68062 | + | 2.76721i | −0.226494 | + | 0.0938171i | ||||
\(871\) | 18.2462i | 0.618249i | ||||||||
\(872\) | 14.1122 | + | 34.0698i | 0.477899 | + | 1.15375i | ||||
\(873\) | 10.2764 | + | 4.25663i | 0.347804 | + | 0.144065i | ||||
\(874\) | −30.1320 | + | 72.7450i | −1.01923 | + | 2.46064i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −1.31645 | + | 1.31645i | −0.0444787 | + | 0.0444787i | ||||
\(877\) | 13.0112 | − | 31.4119i | 0.439358 | − | 1.06070i | −0.536813 | − | 0.843701i | \(-0.680372\pi\) |
0.976171 | − | 0.217003i | \(-0.0696282\pi\) | |||||||
\(878\) | −8.30091 | − | 3.43835i | −0.280142 | − | 0.116039i | ||||
\(879\) | −2.72589 | − | 6.58089i | −0.0919421 | − | 0.221968i | ||||
\(880\) | 6.73863i | 0.227159i | ||||||||
\(881\) | 21.9456 | − | 9.09018i | 0.739367 | − | 0.306256i | 0.0189724 | − | 0.999820i | \(-0.493961\pi\) |
0.720395 | + | 0.693564i | \(0.243961\pi\) | |||||||
\(882\) | 7.72929 | + | 7.72929i | 0.260259 | + | 0.260259i | ||||
\(883\) | −38.4233 | −1.29305 | −0.646523 | − | 0.762894i | \(-0.723778\pi\) | ||||
−0.646523 | + | 0.762894i | \(0.723778\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.630683 | −0.0212002 | ||||||||
\(886\) | −25.2603 | − | 25.2603i | −0.848637 | − | 0.848637i | ||||
\(887\) | −20.8442 | + | 8.63393i | −0.699878 | + | 0.289899i | −0.704109 | − | 0.710092i | \(-0.748653\pi\) |
0.00423064 | + | 0.999991i | \(0.498653\pi\) | |||||||
\(888\) | 7.61553i | 0.255560i | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 5.77075 | + | 2.39032i | 0.193436 | + | 0.0801238i | ||||
\(891\) | −0.980264 | + | 2.36657i | −0.0328401 | + | 0.0792830i | ||||
\(892\) | −4.31897 | + | 4.31897i | −0.144610 | + | 0.144610i | ||||
\(893\) | −15.6327 | + | 15.6327i | −0.523128 | + | 0.523128i | ||||
\(894\) | −2.53745 | + | 6.12595i | −0.0848651 | + | 0.204882i | ||||
\(895\) | 4.73313 | + | 1.96053i | 0.158211 | + | 0.0655332i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | − | 29.9309i | − | 0.999363i | ||||||
\(898\) | −18.3779 | + | 7.61236i | −0.613277 | + | 0.254028i | ||||
\(899\) | 29.8726 | + | 29.8726i | 0.996306 | + | 0.996306i | ||||
\(900\) | 2.05398 | 0.0684658 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −2.24621 | −0.0747907 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −10.2764 | + | 4.25663i | −0.341788 | + | 0.141573i | ||||
\(905\) | − | 3.36932i | − | 0.112000i | ||||||
\(906\) | −4.78064 | − | 11.5415i | −0.158826 | − | 0.383440i | ||||
\(907\) | −44.2185 | − | 18.3159i | −1.46825 | − | 0.608169i | −0.501791 | − | 0.864989i | \(-0.667325\pi\) |
−0.966459 | + | 0.256819i | \(0.917325\pi\) | |||||||
\(908\) | 3.86815 | − | 9.33853i | 0.128369 | − | 0.309910i | ||||
\(909\) | −13.5221 | + | 13.5221i | −0.448499 | + | 0.448499i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 11.2127 | − | 27.0698i | 0.371493 | − | 0.896864i | −0.622005 | − | 0.783013i | \(-0.713682\pi\) |
0.993498 | − | 0.113850i | \(-0.0363185\pi\) | |||||||
\(912\) | 33.2597 | + | 13.7766i | 1.10134 | + | 0.456189i | ||||
\(913\) | −8.94305 | − | 21.5904i | −0.295972 | − | 0.714539i | ||||
\(914\) | 10.6307i | 0.351632i | ||||||||
\(915\) | 0.454939 | − | 0.188442i | 0.0150398 | − | 0.00622970i | ||||
\(916\) | −1.86017 | − | 1.86017i | −0.0614619 | − | 0.0614619i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.31534 | −0.142350 | −0.0711750 | − | 0.997464i | \(-0.522675\pi\) | ||||
−0.0711750 | + | 0.997464i | \(0.522675\pi\) | |||||||
\(920\) | −6.35324 | − | 6.35324i | −0.209460 | − | 0.209460i | ||||
\(921\) | −0.454939 | + | 0.188442i | −0.0149908 | + | 0.00620937i | ||||
\(922\) | 12.8769i | 0.424078i | ||||||||
\(923\) | 17.8861 | + | 43.1809i | 0.588728 | + | 1.42132i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −5.59892 | + | 13.5170i | −0.184091 | + | 0.444436i | ||||
\(926\) | −27.5879 | + | 27.5879i | −0.906594 | + | 0.906594i | ||||
\(927\) | 3.05141 | − | 3.05141i | 0.100221 | − | 0.100221i | ||||
\(928\) | 7.69498 | − | 18.5773i | 0.252600 | − | 0.609831i | ||||
\(929\) | 29.5003 | + | 12.2194i | 0.967873 | + | 0.400906i | 0.809920 | − | 0.586541i | \(-0.199511\pi\) |
0.157953 | + | 0.987447i | \(0.449511\pi\) | |||||||
\(930\) | 1.71918 | + | 4.15046i | 0.0563740 | + | 0.136099i | ||||
\(931\) | 53.7926i | 1.76298i | ||||||||
\(932\) | 0.227470 | − | 0.0942210i | 0.00745101 | − | 0.00308631i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 5.26137 | 0.172157 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −11.1231 | −0.363570 | ||||||||
\(937\) | −15.5563 | − | 15.5563i | −0.508204 | − | 0.508204i | 0.405771 | − | 0.913975i | \(-0.367003\pi\) |
−0.913975 | + | 0.405771i | \(0.867003\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 7.61553i | 0.248523i | ||||||||
\(940\) | 0.271064 | + | 0.654406i | 0.00884113 | + | 0.0213444i | ||||
\(941\) | −27.7164 | − | 11.4805i | −0.903528 | − | 0.374254i | −0.117953 | − | 0.993019i | \(-0.537633\pi\) |
−0.785576 | + | 0.618766i | \(0.787633\pi\) | |||||||
\(942\) | 3.39704 | − | 8.20118i | 0.110682 | − | 0.267209i | ||||
\(943\) | 2.60545 | − | 2.60545i | 0.0848450 | − | 0.0848450i | ||||
\(944\) | 3.72035 | − | 3.72035i | 0.121087 | − | 0.121087i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 28.3988 | + | 11.7632i | 0.923324 | + | 0.382454i | ||||
\(947\) | −4.59220 | − | 11.0866i | −0.149226 | − | 0.360265i | 0.831536 | − | 0.555471i | \(-0.187462\pi\) |
−0.980762 | + | 0.195207i | \(0.937462\pi\) | |||||||
\(948\) | 6.73863i | 0.218861i | ||||||||
\(949\) | 17.8949 | − | 7.41232i | 0.580894 | − | 0.240614i | ||||
\(950\) | 39.7506 | + | 39.7506i | 1.28968 | + | 1.28968i | ||||
\(951\) | −18.0000 | −0.583690 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −54.3542 | −1.76070 | −0.880352 | − | 0.474321i | \(-0.842694\pi\) | ||||
−0.880352 | + | 0.474321i | \(0.842694\pi\) | |||||||
\(954\) | −4.68860 | − | 4.68860i | −0.151799 | − | 0.151799i | ||||
\(955\) | −6.80836 | + | 2.82012i | −0.220313 | + | 0.0912568i | ||||
\(956\) | 4.49242i | 0.145295i | ||||||||
\(957\) | 8.08346 | + | 19.5152i | 0.261301 | + | 0.630837i | ||||
\(958\) | 42.2710 | + | 17.5092i | 1.36571 | + | 0.565697i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −2.20837 | + | 2.20837i | −0.0712748 | + | 0.0712748i | ||||
\(961\) | −3.36144 | + | 3.36144i | −0.108433 | + | 0.108433i | ||||
\(962\) | −8.51326 | + | 20.5528i | −0.274478 | + | 0.662649i | ||||
\(963\) | 7.09970 | + | 2.94079i | 0.228785 | + | 0.0947657i | ||||
\(964\) | 3.58548 | + | 8.65612i | 0.115481 | + | 0.278795i | ||||
\(965\) | − | 13.6155i | − | 0.438299i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −32.9240 | − | 32.9240i | −1.05876 | − | 1.05876i | −0.998162 | − | 0.0606021i | \(-0.980698\pi\) |
−0.0606021 | − | 0.998162i | \(-0.519302\pi\) | |||||||
\(968\) | −10.8229 | −0.347862 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 9.75379 | 0.313175 | ||||||||
\(971\) | −1.68608 | − | 1.68608i | −0.0541088 | − | 0.0541088i | 0.679535 | − | 0.733643i | \(-0.262182\pi\) |
−0.733643 | + | 0.679535i | \(0.762182\pi\) | |||||||
\(972\) | 0.405072 | − | 0.167786i | 0.0129927 | − | 0.00538175i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −4.40376 | − | 10.6316i | −0.141106 | − | 0.340659i | ||||
\(975\) | −19.7427 | − | 8.17768i | −0.632272 | − | 0.261895i | ||||
\(976\) | −1.57204 | + | 3.79525i | −0.0503199 | + | 0.121483i | ||||
\(977\) | 5.83095 | − | 5.83095i | 0.186549 | − | 0.186549i | −0.607654 | − | 0.794202i | \(-0.707889\pi\) |
0.794202 | + | 0.607654i | \(0.207889\pi\) | |||||||
\(978\) | 7.59336 | − | 7.59336i | 0.242809 | − | 0.242809i | ||||
\(979\) | 6.98252 | − | 16.8573i | 0.223162 | − | 0.538762i | ||||
\(980\) | 1.59229 | + | 0.659547i | 0.0508637 | + | 0.0210684i | ||||
\(981\) | 5.78736 | + | 13.9719i | 0.184776 | + | 0.446089i | ||||
\(982\) | − | 5.26137i | − | 0.167897i | ||||||
\(983\) | 1.91163 | − | 0.791822i | 0.0609714 | − | 0.0252552i | −0.351989 | − | 0.936004i | \(-0.614495\pi\) |
0.412961 | + | 0.910749i | \(0.364495\pi\) | |||||||
\(984\) | −0.968253 | − | 0.968253i | −0.0308668 | − | 0.0308668i | ||||
\(985\) | 11.1922 | 0.356614 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 10.8677 | + | 10.8677i | 0.345749 | + | 0.345749i | ||||
\(989\) | −46.5850 | + | 19.2962i | −1.48132 | + | 0.613582i | ||||
\(990\) | 2.24621i | 0.0713893i | ||||||||
\(991\) | −2.57876 | − | 6.22569i | −0.0819171 | − | 0.197765i | 0.877614 | − | 0.479368i | \(-0.159134\pi\) |
−0.959531 | + | 0.281603i | \(0.909134\pi\) | |||||||
\(992\) | −11.5415 | − | 4.78064i | −0.366443 | − | 0.151786i | ||||
\(993\) | 2.32256 | − | 5.60715i | 0.0737041 | − | 0.177937i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −6.35324 | + | 6.35324i | −0.201411 | + | 0.201411i | ||||
\(996\) | −1.53073 | + | 3.69552i | −0.0485032 | + | 0.117097i | ||||
\(997\) | −9.23880 | − | 3.82683i | −0.292596 | − | 0.121197i | 0.231557 | − | 0.972821i | \(-0.425618\pi\) |
−0.524153 | + | 0.851624i | \(0.675618\pi\) | |||||||
\(998\) | 6.79408 | + | 16.4024i | 0.215063 | + | 0.519208i | ||||
\(999\) | 3.12311i | 0.0988107i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))