Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,3,Mod(14,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.c (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.36786120790\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 14.10 | ||
Character | \(\chi\) | \(=\) | 197.14 |
Dual form | 197.3.c.a.183.10 |
$q$-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 \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.11355 | + | 1.11355i | −0.556774 | + | 0.556774i | −0.928387 | − | 0.371614i | \(-0.878805\pi\) |
0.371614 | + | 0.928387i | \(0.378805\pi\) | |||||||
\(3\) | 2.19442 | − | 2.19442i | 0.731472 | − | 0.731472i | −0.239440 | − | 0.970911i | \(-0.576964\pi\) |
0.970911 | + | 0.239440i | \(0.0769637\pi\) | |||||||
\(4\) | 1.52002i | 0.380006i | ||||||||
\(5\) | −1.87378 | + | 1.87378i | −0.374757 | + | 0.374757i | −0.869206 | − | 0.494449i | \(-0.835370\pi\) |
0.494449 | + | 0.869206i | \(0.335370\pi\) | |||||||
\(6\) | 4.88717i | 0.814529i | ||||||||
\(7\) | 5.07096i | 0.724422i | 0.932096 | + | 0.362211i | \(0.117978\pi\) | ||||
−0.932096 | + | 0.362211i | \(0.882022\pi\) | |||||||
\(8\) | −6.14681 | − | 6.14681i | −0.768351 | − | 0.768351i | ||||
\(9\) | − | 0.630916i | − | 0.0701017i | ||||||
\(10\) | − | 4.17310i | − | 0.417310i | ||||||
\(11\) | −9.24618 | + | 9.24618i | −0.840562 | + | 0.840562i | −0.988932 | − | 0.148370i | \(-0.952597\pi\) |
0.148370 | + | 0.988932i | \(0.452597\pi\) | |||||||
\(12\) | 3.33556 | + | 3.33556i | 0.277963 | + | 0.277963i | ||||
\(13\) | 2.79068 | − | 2.79068i | 0.214668 | − | 0.214668i | −0.591579 | − | 0.806247i | \(-0.701495\pi\) |
0.806247 | + | 0.591579i | \(0.201495\pi\) | |||||||
\(14\) | −5.64675 | − | 5.64675i | −0.403339 | − | 0.403339i | ||||
\(15\) | 8.22372i | 0.548248i | ||||||||
\(16\) | 7.60944 | 0.475590 | ||||||||
\(17\) | −12.5261 | − | 12.5261i | −0.736832 | − | 0.736832i | 0.235132 | − | 0.971964i | \(-0.424448\pi\) |
−0.971964 | + | 0.235132i | \(0.924448\pi\) | |||||||
\(18\) | 0.702555 | + | 0.702555i | 0.0390308 | + | 0.0390308i | ||||
\(19\) | 33.2908i | 1.75215i | 0.482176 | + | 0.876075i | \(0.339847\pi\) | ||||
−0.482176 | + | 0.876075i | \(0.660153\pi\) | |||||||
\(20\) | −2.84820 | − | 2.84820i | −0.142410 | − | 0.142410i | ||||
\(21\) | 11.1278 | + | 11.1278i | 0.529894 | + | 0.529894i | ||||
\(22\) | − | 20.5921i | − | 0.936006i | ||||||
\(23\) | 30.3777 | 1.32077 | 0.660386 | − | 0.750927i | \(-0.270393\pi\) | ||||
0.660386 | + | 0.750927i | \(0.270393\pi\) | |||||||
\(24\) | −26.9773 | −1.12405 | ||||||||
\(25\) | 17.9779i | 0.719114i | ||||||||
\(26\) | 6.21512i | 0.239043i | ||||||||
\(27\) | 18.3652 | + | 18.3652i | 0.680194 | + | 0.680194i | ||||
\(28\) | −7.70797 | −0.275285 | ||||||||
\(29\) | −36.4488 | −1.25685 | −0.628427 | − | 0.777869i | \(-0.716301\pi\) | ||||
−0.628427 | + | 0.777869i | \(0.716301\pi\) | |||||||
\(30\) | −9.15751 | − | 9.15751i | −0.305250 | − | 0.305250i | ||||
\(31\) | −5.16354 | + | 5.16354i | −0.166566 | + | 0.166566i | −0.785468 | − | 0.618902i | \(-0.787578\pi\) |
0.618902 | + | 0.785468i | \(0.287578\pi\) | |||||||
\(32\) | 16.1138 | − | 16.1138i | 0.503555 | − | 0.503555i | ||||
\(33\) | 40.5799i | 1.22970i | ||||||||
\(34\) | 27.8969 | 0.820497 | ||||||||
\(35\) | −9.50188 | − | 9.50188i | −0.271482 | − | 0.271482i | ||||
\(36\) | 0.959006 | 0.0266391 | ||||||||
\(37\) | −42.9671 | −1.16127 | −0.580636 | − | 0.814163i | \(-0.697196\pi\) | ||||
−0.580636 | + | 0.814163i | \(0.697196\pi\) | |||||||
\(38\) | −37.0709 | − | 37.0709i | −0.975551 | − | 0.975551i | ||||
\(39\) | − | 12.2478i | − | 0.314047i | ||||||
\(40\) | 23.0356 | 0.575890 | ||||||||
\(41\) | 0.230336i | 0.00561795i | 0.999996 | + | 0.00280897i | \(0.000894125\pi\) | ||||
−0.999996 | + | 0.00280897i | \(0.999106\pi\) | |||||||
\(42\) | −24.7826 | −0.590063 | ||||||||
\(43\) | − | 70.5045i | − | 1.63964i | −0.572622 | − | 0.819819i | \(-0.694074\pi\) | ||
0.572622 | − | 0.819819i | \(-0.305926\pi\) | |||||||
\(44\) | −14.0544 | − | 14.0544i | −0.319418 | − | 0.319418i | ||||
\(45\) | 1.18220 | + | 1.18220i | 0.0262711 | + | 0.0262711i | ||||
\(46\) | −33.8271 | + | 33.8271i | −0.735371 | + | 0.735371i | ||||
\(47\) | 55.0790i | 1.17189i | 0.810350 | + | 0.585947i | \(0.199277\pi\) | ||||
−0.810350 | + | 0.585947i | \(0.800723\pi\) | |||||||
\(48\) | 16.6983 | − | 16.6983i | 0.347881 | − | 0.347881i | ||||
\(49\) | 23.2854 | 0.475212 | ||||||||
\(50\) | −20.0192 | − | 20.0192i | −0.400384 | − | 0.400384i | ||||
\(51\) | −54.9751 | −1.07794 | ||||||||
\(52\) | 4.24190 | + | 4.24190i | 0.0815751 | + | 0.0815751i | ||||
\(53\) | 74.5527 | 1.40665 | 0.703327 | − | 0.710866i | \(-0.251697\pi\) | ||||
0.703327 | + | 0.710866i | \(0.251697\pi\) | |||||||
\(54\) | −40.9012 | −0.757429 | ||||||||
\(55\) | − | 34.6507i | − | 0.630013i | ||||||
\(56\) | 31.1702 | − | 31.1702i | 0.556611 | − | 0.556611i | ||||
\(57\) | 73.0539 | + | 73.0539i | 1.28165 | + | 1.28165i | ||||
\(58\) | 40.5874 | − | 40.5874i | 0.699783 | − | 0.699783i | ||||
\(59\) | 75.7516 | 1.28393 | 0.641963 | − | 0.766736i | \(-0.278120\pi\) | ||||
0.641963 | + | 0.766736i | \(0.278120\pi\) | |||||||
\(60\) | −12.5002 | −0.208337 | ||||||||
\(61\) | 83.6520 | 1.37134 | 0.685672 | − | 0.727911i | \(-0.259508\pi\) | ||||
0.685672 | + | 0.727911i | \(0.259508\pi\) | |||||||
\(62\) | − | 11.4997i | − | 0.185479i | ||||||
\(63\) | 3.19935 | 0.0507833 | ||||||||
\(64\) | 66.3246i | 1.03632i | ||||||||
\(65\) | 10.4583i | 0.160897i | ||||||||
\(66\) | −45.1877 | − | 45.1877i | −0.684662 | − | 0.684662i | ||||
\(67\) | −16.2260 | + | 16.2260i | −0.242179 | + | 0.242179i | −0.817751 | − | 0.575572i | \(-0.804779\pi\) |
0.575572 | + | 0.817751i | \(0.304779\pi\) | |||||||
\(68\) | 19.0400 | − | 19.0400i | 0.280000 | − | 0.280000i | ||||
\(69\) | 66.6614 | − | 66.6614i | 0.966107 | − | 0.966107i | ||||
\(70\) | 21.1616 | 0.302309 | ||||||||
\(71\) | −65.9279 | − | 65.9279i | −0.928561 | − | 0.928561i | 0.0690518 | − | 0.997613i | \(-0.478003\pi\) |
−0.997613 | + | 0.0690518i | \(0.978003\pi\) | |||||||
\(72\) | −3.87812 | + | 3.87812i | −0.0538627 | + | 0.0538627i | ||||
\(73\) | 53.0731 | − | 53.0731i | 0.727029 | − | 0.727029i | −0.242998 | − | 0.970027i | \(-0.578131\pi\) |
0.970027 | + | 0.242998i | \(0.0781309\pi\) | |||||||
\(74\) | 47.8459 | − | 47.8459i | 0.646566 | − | 0.646566i | ||||
\(75\) | 39.4509 | + | 39.4509i | 0.526012 | + | 0.526012i | ||||
\(76\) | −50.6028 | −0.665827 | ||||||||
\(77\) | −46.8870 | − | 46.8870i | −0.608922 | − | 0.608922i | ||||
\(78\) | 13.6386 | + | 13.6386i | 0.174853 | + | 0.174853i | ||||
\(79\) | 39.8540 | + | 39.8540i | 0.504481 | + | 0.504481i | 0.912827 | − | 0.408346i | \(-0.133894\pi\) |
−0.408346 | + | 0.912827i | \(0.633894\pi\) | |||||||
\(80\) | −14.2585 | + | 14.2585i | −0.178231 | + | 0.178231i | ||||
\(81\) | 86.2802 | 1.06519 | ||||||||
\(82\) | −0.256490 | − | 0.256490i | −0.00312793 | − | 0.00312793i | ||||
\(83\) | − | 121.464i | − | 1.46342i | −0.681616 | − | 0.731710i | \(-0.738722\pi\) | ||
0.681616 | − | 0.731710i | \(-0.261278\pi\) | |||||||
\(84\) | −16.9145 | + | 16.9145i | −0.201363 | + | 0.201363i | ||||
\(85\) | 46.9426 | 0.552266 | ||||||||
\(86\) | 78.5101 | + | 78.5101i | 0.912908 | + | 0.912908i | ||||
\(87\) | −79.9837 | + | 79.9837i | −0.919353 | + | 0.919353i | ||||
\(88\) | 113.669 | 1.29169 | ||||||||
\(89\) | −81.1992 | − | 81.1992i | −0.912350 | − | 0.912350i | 0.0841065 | − | 0.996457i | \(-0.473196\pi\) |
−0.996457 | + | 0.0841065i | \(0.973196\pi\) | |||||||
\(90\) | −2.63287 | −0.0292541 | ||||||||
\(91\) | 14.1514 | + | 14.1514i | 0.155510 | + | 0.155510i | ||||
\(92\) | 46.1749i | 0.501901i | ||||||||
\(93\) | 22.6619i | 0.243676i | ||||||||
\(94\) | −61.3331 | − | 61.3331i | −0.652480 | − | 0.652480i | ||||
\(95\) | −62.3799 | − | 62.3799i | −0.656630 | − | 0.656630i | ||||
\(96\) | − | 70.7206i | − | 0.736673i | ||||||
\(97\) | 168.306i | 1.73511i | 0.497342 | + | 0.867554i | \(0.334309\pi\) | ||||
−0.497342 | + | 0.867554i | \(0.665691\pi\) | |||||||
\(98\) | −25.9294 | + | 25.9294i | −0.264586 | + | 0.264586i | ||||
\(99\) | 5.83356 | + | 5.83356i | 0.0589249 | + | 0.0589249i | ||||
\(100\) | −27.3268 | −0.273268 | ||||||||
\(101\) | 6.52298 | 0.0645839 | 0.0322920 | − | 0.999478i | \(-0.489719\pi\) | ||||
0.0322920 | + | 0.999478i | \(0.489719\pi\) | |||||||
\(102\) | 61.2174 | − | 61.2174i | 0.600171 | − | 0.600171i | ||||
\(103\) | 10.3065 | − | 10.3065i | 0.100063 | − | 0.100063i | −0.655303 | − | 0.755366i | \(-0.727459\pi\) |
0.755366 | + | 0.655303i | \(0.227459\pi\) | |||||||
\(104\) | −34.3076 | −0.329881 | ||||||||
\(105\) | −41.7021 | −0.397163 | ||||||||
\(106\) | −83.0180 | + | 83.0180i | −0.783188 | + | 0.783188i | ||||
\(107\) | − | 50.7316i | − | 0.474127i | −0.971494 | − | 0.237064i | \(-0.923815\pi\) | ||
0.971494 | − | 0.237064i | \(-0.0761850\pi\) | |||||||
\(108\) | −27.9156 | + | 27.9156i | −0.258478 | + | 0.258478i | ||||
\(109\) | 158.400i | 1.45322i | 0.687053 | + | 0.726608i | \(0.258904\pi\) | ||||
−0.687053 | + | 0.726608i | \(0.741096\pi\) | |||||||
\(110\) | 38.5852 | + | 38.5852i | 0.350775 | + | 0.350775i | ||||
\(111\) | −94.2876 | + | 94.2876i | −0.849438 | + | 0.849438i | ||||
\(112\) | 38.5871i | 0.344528i | ||||||||
\(113\) | 1.48490 | + | 1.48490i | 0.0131407 | + | 0.0131407i | 0.713647 | − | 0.700506i | \(-0.247042\pi\) |
−0.700506 | + | 0.713647i | \(0.747042\pi\) | |||||||
\(114\) | −162.698 | −1.42718 | ||||||||
\(115\) | −56.9213 | + | 56.9213i | −0.494968 | + | 0.494968i | ||||
\(116\) | − | 55.4030i | − | 0.477612i | ||||||
\(117\) | −1.76069 | − | 1.76069i | −0.0150486 | − | 0.0150486i | ||||
\(118\) | −84.3530 | + | 84.3530i | −0.714856 | + | 0.714856i | ||||
\(119\) | 63.5195 | − | 63.5195i | 0.533777 | − | 0.533777i | ||||
\(120\) | 50.5497 | − | 50.5497i | 0.421247 | − | 0.421247i | ||||
\(121\) | − | 49.9839i | − | 0.413090i | ||||||
\(122\) | −93.1505 | + | 93.1505i | −0.763528 | + | 0.763528i | ||||
\(123\) | 0.505452 | + | 0.505452i | 0.00410937 | + | 0.00410937i | ||||
\(124\) | −7.84869 | − | 7.84869i | −0.0632959 | − | 0.0632959i | ||||
\(125\) | −80.5313 | − | 80.5313i | −0.644250 | − | 0.644250i | ||||
\(126\) | −3.56262 | + | 3.56262i | −0.0282748 | + | 0.0282748i | ||||
\(127\) | − | 122.844i | − | 0.967273i | −0.875269 | − | 0.483636i | \(-0.839316\pi\) | ||
0.875269 | − | 0.483636i | \(-0.160684\pi\) | |||||||
\(128\) | −9.40060 | − | 9.40060i | −0.0734422 | − | 0.0734422i | ||||
\(129\) | −154.716 | − | 154.716i | −1.19935 | − | 1.19935i | ||||
\(130\) | −11.6458 | − | 11.6458i | −0.0895831 | − | 0.0895831i | ||||
\(131\) | −29.6586 | + | 29.6586i | −0.226401 | + | 0.226401i | −0.811187 | − | 0.584786i | \(-0.801178\pi\) |
0.584786 | + | 0.811187i | \(0.301178\pi\) | |||||||
\(132\) | −61.6824 | −0.467291 | ||||||||
\(133\) | −168.816 | −1.26930 | ||||||||
\(134\) | − | 36.1368i | − | 0.269677i | ||||||
\(135\) | −68.8250 | −0.509815 | ||||||||
\(136\) | 153.992i | 1.13229i | ||||||||
\(137\) | 57.8952i | 0.422593i | 0.977422 | + | 0.211296i | \(0.0677685\pi\) | ||||
−0.977422 | + | 0.211296i | \(0.932231\pi\) | |||||||
\(138\) | 148.461i | 1.07581i | ||||||||
\(139\) | 47.3212 | + | 47.3212i | 0.340440 | + | 0.340440i | 0.856533 | − | 0.516093i | \(-0.172614\pi\) |
−0.516093 | + | 0.856533i | \(0.672614\pi\) | |||||||
\(140\) | 14.4431 | − | 14.4431i | 0.103165 | − | 0.103165i | ||||
\(141\) | 120.866 | + | 120.866i | 0.857207 | + | 0.857207i | ||||
\(142\) | 146.828 | 1.03400 | ||||||||
\(143\) | 51.6064i | 0.360884i | ||||||||
\(144\) | − | 4.80091i | − | 0.0333397i | ||||||
\(145\) | 68.2971 | − | 68.2971i | 0.471015 | − | 0.471015i | ||||
\(146\) | 118.199i | 0.809581i | ||||||||
\(147\) | 51.0978 | − | 51.0978i | 0.347604 | − | 0.347604i | ||||
\(148\) | − | 65.3110i | − | 0.441290i | ||||||
\(149\) | −32.5345 | − | 32.5345i | −0.218352 | − | 0.218352i | 0.589451 | − | 0.807804i | \(-0.299344\pi\) |
−0.807804 | + | 0.589451i | \(0.799344\pi\) | |||||||
\(150\) | −87.8609 | −0.585739 | ||||||||
\(151\) | 109.726 | + | 109.726i | 0.726659 | + | 0.726659i | 0.969953 | − | 0.243293i | \(-0.0782277\pi\) |
−0.243293 | + | 0.969953i | \(0.578228\pi\) | |||||||
\(152\) | 204.632 | − | 204.632i | 1.34627 | − | 1.34627i | ||||
\(153\) | −7.90294 | + | 7.90294i | −0.0516532 | + | 0.0516532i | ||||
\(154\) | 104.422 | 0.678064 | ||||||||
\(155\) | − | 19.3507i | − | 0.124843i | ||||||
\(156\) | 18.6170 | 0.119340 | ||||||||
\(157\) | 103.228i | 0.657505i | 0.944416 | + | 0.328752i | \(0.106628\pi\) | ||||
−0.944416 | + | 0.328752i | \(0.893372\pi\) | |||||||
\(158\) | −88.7587 | −0.561764 | ||||||||
\(159\) | 163.600 | − | 163.600i | 1.02893 | − | 1.02893i | ||||
\(160\) | 60.3875i | 0.377422i | ||||||||
\(161\) | 154.044i | 0.956796i | ||||||||
\(162\) | −96.0771 | + | 96.0771i | −0.593069 | + | 0.593069i | ||||
\(163\) | − | 218.586i | − | 1.34102i | −0.741900 | − | 0.670511i | \(-0.766075\pi\) | ||
0.741900 | − | 0.670511i | \(-0.233925\pi\) | |||||||
\(164\) | −0.350116 | −0.00213485 | ||||||||
\(165\) | −76.0381 | − | 76.0381i | −0.460837 | − | 0.460837i | ||||
\(166\) | 135.256 | + | 135.256i | 0.814795 | + | 0.814795i | ||||
\(167\) | −188.646 | + | 188.646i | −1.12962 | + | 1.12962i | −0.139380 | + | 0.990239i | \(0.544511\pi\) |
−0.990239 | + | 0.139380i | \(0.955489\pi\) | |||||||
\(168\) | − | 136.801i | − | 0.814290i | ||||||
\(169\) | 153.424i | 0.907835i | ||||||||
\(170\) | −52.2728 | + | 52.2728i | −0.307487 | + | 0.307487i | ||||
\(171\) | 21.0037 | 0.122829 | ||||||||
\(172\) | 107.168 | 0.623072 | ||||||||
\(173\) | 265.786i | 1.53633i | 0.640250 | + | 0.768167i | \(0.278831\pi\) | ||||
−0.640250 | + | 0.768167i | \(0.721169\pi\) | |||||||
\(174\) | − | 178.131i | − | 1.02374i | ||||||
\(175\) | −91.1649 | −0.520943 | ||||||||
\(176\) | −70.3583 | + | 70.3583i | −0.399763 | + | 0.399763i | ||||
\(177\) | 166.231 | − | 166.231i | 0.939155 | − | 0.939155i | ||||
\(178\) | 180.838 | 1.01595 | ||||||||
\(179\) | −105.046 | + | 105.046i | −0.586849 | + | 0.586849i | −0.936777 | − | 0.349928i | \(-0.886206\pi\) |
0.349928 | + | 0.936777i | \(0.386206\pi\) | |||||||
\(180\) | −1.79697 | + | 1.79697i | −0.00998317 | + | 0.00998317i | ||||
\(181\) | 40.7615i | 0.225202i | 0.993640 | + | 0.112601i | \(0.0359182\pi\) | ||||
−0.993640 | + | 0.112601i | \(0.964082\pi\) | |||||||
\(182\) | −31.5166 | −0.173168 | ||||||||
\(183\) | 183.567 | − | 183.567i | 1.00310 | − | 1.00310i | ||||
\(184\) | −186.726 | − | 186.726i | −1.01482 | − | 1.01482i | ||||
\(185\) | 80.5111 | − | 80.5111i | 0.435195 | − | 0.435195i | ||||
\(186\) | −25.2351 | − | 25.2351i | −0.135673 | − | 0.135673i | ||||
\(187\) | 231.638 | 1.23871 | ||||||||
\(188\) | −83.7213 | −0.445326 | ||||||||
\(189\) | −93.1294 | + | 93.1294i | −0.492748 | + | 0.492748i | ||||
\(190\) | 138.926 | 0.731189 | ||||||||
\(191\) | 242.811 | 1.27126 | 0.635630 | − | 0.771994i | \(-0.280740\pi\) | ||||
0.635630 | + | 0.771994i | \(0.280740\pi\) | |||||||
\(192\) | 145.544 | + | 145.544i | 0.758041 | + | 0.758041i | ||||
\(193\) | 157.520 | 0.816166 | 0.408083 | − | 0.912945i | \(-0.366197\pi\) | ||||
0.408083 | + | 0.912945i | \(0.366197\pi\) | |||||||
\(194\) | −187.416 | − | 187.416i | −0.966063 | − | 0.966063i | ||||
\(195\) | 22.9498 | + | 22.9498i | 0.117691 | + | 0.117691i | ||||
\(196\) | 35.3943i | 0.180583i | ||||||||
\(197\) | −6.06770 | + | 196.907i | −0.0308005 | + | 0.999526i | ||||
\(198\) | −12.9919 | −0.0656156 | ||||||||
\(199\) | 61.6921 | − | 61.6921i | 0.310011 | − | 0.310011i | −0.534903 | − | 0.844914i | \(-0.679652\pi\) |
0.844914 | + | 0.534903i | \(0.179652\pi\) | |||||||
\(200\) | 110.506 | − | 110.506i | 0.552532 | − | 0.552532i | ||||
\(201\) | 71.2130i | 0.354294i | ||||||||
\(202\) | −7.26365 | + | 7.26365i | −0.0359586 | + | 0.0359586i | ||||
\(203\) | − | 184.830i | − | 0.910493i | ||||||
\(204\) | − | 83.5634i | − | 0.409625i | ||||||
\(205\) | −0.431600 | − | 0.431600i | −0.00210536 | − | 0.00210536i | ||||
\(206\) | 22.9535i | 0.111425i | ||||||||
\(207\) | − | 19.1658i | − | 0.0925883i | ||||||
\(208\) | 21.2355 | − | 21.2355i | 0.102094 | − | 0.102094i | ||||
\(209\) | −307.813 | − | 307.813i | −1.47279 | − | 1.47279i | ||||
\(210\) | 46.4373 | − | 46.4373i | 0.221130 | − | 0.221130i | ||||
\(211\) | −138.008 | − | 138.008i | −0.654065 | − | 0.654065i | 0.299904 | − | 0.953969i | \(-0.403045\pi\) |
−0.953969 | + | 0.299904i | \(0.903045\pi\) | |||||||
\(212\) | 113.322i | 0.534537i | ||||||||
\(213\) | −289.346 | −1.35843 | ||||||||
\(214\) | 56.4921 | + | 56.4921i | 0.263982 | + | 0.263982i | ||||
\(215\) | 132.110 | + | 132.110i | 0.614466 | + | 0.614466i | ||||
\(216\) | − | 225.775i | − | 1.04526i | ||||||
\(217\) | −26.1841 | − | 26.1841i | −0.120664 | − | 0.120664i | ||||
\(218\) | −176.386 | − | 176.386i | −0.809112 | − | 0.809112i | ||||
\(219\) | − | 232.929i | − | 1.06360i | ||||||
\(220\) | 52.6699 | 0.239409 | ||||||||
\(221\) | −69.9130 | −0.316348 | ||||||||
\(222\) | − | 209.988i | − | 0.945890i | ||||||
\(223\) | 41.3642i | 0.185490i | 0.995690 | + | 0.0927448i | \(0.0295641\pi\) | ||||
−0.995690 | + | 0.0927448i | \(0.970436\pi\) | |||||||
\(224\) | 81.7122 | + | 81.7122i | 0.364787 | + | 0.364787i | ||||
\(225\) | 11.3425 | 0.0504112 | ||||||||
\(226\) | −3.30702 | −0.0146329 | ||||||||
\(227\) | 5.50797 | + | 5.50797i | 0.0242642 | + | 0.0242642i | 0.719135 | − | 0.694871i | \(-0.244538\pi\) |
−0.694871 | + | 0.719135i | \(0.744538\pi\) | |||||||
\(228\) | −111.044 | + | 111.044i | −0.487033 | + | 0.487033i | ||||
\(229\) | −215.133 | + | 215.133i | −0.939445 | + | 0.939445i | −0.998268 | − | 0.0588238i | \(-0.981265\pi\) |
0.0588238 | + | 0.998268i | \(0.481265\pi\) | |||||||
\(230\) | − | 126.769i | − | 0.551171i | ||||||
\(231\) | −205.779 | −0.890819 | ||||||||
\(232\) | 224.044 | + | 224.044i | 0.965705 | + | 0.965705i | ||||
\(233\) | 120.028 | 0.515141 | 0.257570 | − | 0.966260i | \(-0.417078\pi\) | ||||
0.257570 | + | 0.966260i | \(0.417078\pi\) | |||||||
\(234\) | 3.92122 | 0.0167573 | ||||||||
\(235\) | −103.206 | − | 103.206i | −0.439175 | − | 0.439175i | ||||
\(236\) | 115.144i | 0.487899i | ||||||||
\(237\) | 174.913 | 0.738027 | ||||||||
\(238\) | 141.464i | 0.594387i | ||||||||
\(239\) | 175.672 | 0.735029 | 0.367514 | − | 0.930018i | \(-0.380209\pi\) | ||||
0.367514 | + | 0.930018i | \(0.380209\pi\) | |||||||
\(240\) | 62.5779i | 0.260741i | ||||||||
\(241\) | −197.909 | − | 197.909i | −0.821201 | − | 0.821201i | 0.165079 | − | 0.986280i | \(-0.447212\pi\) |
−0.986280 | + | 0.165079i | \(0.947212\pi\) | |||||||
\(242\) | 55.6594 | + | 55.6594i | 0.229998 | + | 0.229998i | ||||
\(243\) | 24.0473 | − | 24.0473i | 0.0989602 | − | 0.0989602i | ||||
\(244\) | 127.153i | 0.521119i | ||||||||
\(245\) | −43.6318 | + | 43.6318i | −0.178089 | + | 0.178089i | ||||
\(246\) | −1.12569 | −0.00457598 | ||||||||
\(247\) | 92.9042 | + | 92.9042i | 0.376130 | + | 0.376130i | ||||
\(248\) | 63.4785 | 0.255962 | ||||||||
\(249\) | −266.542 | − | 266.542i | −1.07045 | − | 1.07045i | ||||
\(250\) | 179.351 | 0.717403 | ||||||||
\(251\) | −186.861 | −0.744466 | −0.372233 | − | 0.928139i | \(-0.621408\pi\) | ||||
−0.372233 | + | 0.928139i | \(0.621408\pi\) | |||||||
\(252\) | 4.86308i | 0.0192979i | ||||||||
\(253\) | −280.878 | + | 280.878i | −1.11019 | + | 1.11019i | ||||
\(254\) | 136.792 | + | 136.792i | 0.538552 | + | 0.538552i | ||||
\(255\) | 103.012 | − | 103.012i | 0.403967 | − | 0.403967i | ||||
\(256\) | −244.363 | −0.954541 | ||||||||
\(257\) | 68.8305 | 0.267823 | 0.133912 | − | 0.990993i | \(-0.457246\pi\) | ||||
0.133912 | + | 0.990993i | \(0.457246\pi\) | |||||||
\(258\) | 344.567 | 1.33553 | ||||||||
\(259\) | − | 217.884i | − | 0.841252i | ||||||
\(260\) | −15.8968 | −0.0611417 | ||||||||
\(261\) | 22.9961i | 0.0881076i | ||||||||
\(262\) | − | 66.0525i | − | 0.252109i | ||||||
\(263\) | 265.327 | + | 265.327i | 1.00885 | + | 1.00885i | 0.999960 | + | 0.00888848i | \(0.00282933\pi\) |
0.00888848 | + | 0.999960i | \(0.497171\pi\) | |||||||
\(264\) | 249.437 | − | 249.437i | 0.944838 | − | 0.944838i | ||||
\(265\) | −139.696 | + | 139.696i | −0.527154 | + | 0.527154i | ||||
\(266\) | 187.985 | − | 187.985i | 0.706711 | − | 0.706711i | ||||
\(267\) | −356.369 | −1.33472 | ||||||||
\(268\) | −24.6638 | − | 24.6638i | −0.0920292 | − | 0.0920292i | ||||
\(269\) | 24.9352 | − | 24.9352i | 0.0926961 | − | 0.0926961i | −0.659238 | − | 0.751934i | \(-0.729121\pi\) |
0.751934 | + | 0.659238i | \(0.229121\pi\) | |||||||
\(270\) | 76.6400 | − | 76.6400i | 0.283852 | − | 0.283852i | ||||
\(271\) | 337.196 | − | 337.196i | 1.24427 | − | 1.24427i | 0.286052 | − | 0.958214i | \(-0.407657\pi\) |
0.958214 | − | 0.286052i | \(-0.0923431\pi\) | |||||||
\(272\) | −95.3169 | − | 95.3169i | −0.350430 | − | 0.350430i | ||||
\(273\) | 62.1083 | 0.227503 | ||||||||
\(274\) | −64.4691 | − | 64.4691i | −0.235289 | − | 0.235289i | ||||
\(275\) | −166.227 | − | 166.227i | −0.604460 | − | 0.604460i | ||||
\(276\) | 101.327 | + | 101.327i | 0.367126 | + | 0.367126i | ||||
\(277\) | 56.7117 | − | 56.7117i | 0.204735 | − | 0.204735i | −0.597290 | − | 0.802025i | \(-0.703756\pi\) |
0.802025 | + | 0.597290i | \(0.203756\pi\) | |||||||
\(278\) | −105.389 | −0.379096 | ||||||||
\(279\) | 3.25776 | + | 3.25776i | 0.0116765 | + | 0.0116765i | ||||
\(280\) | 116.813i | 0.417188i | ||||||||
\(281\) | 363.329 | − | 363.329i | 1.29299 | − | 1.29299i | 0.360057 | − | 0.932930i | \(-0.382757\pi\) |
0.932930 | − | 0.360057i | \(-0.117243\pi\) | |||||||
\(282\) | −269.181 | −0.954541 | ||||||||
\(283\) | −124.123 | − | 124.123i | −0.438596 | − | 0.438596i | 0.452944 | − | 0.891539i | \(-0.350374\pi\) |
−0.891539 | + | 0.452944i | \(0.850374\pi\) | |||||||
\(284\) | 100.212 | − | 100.212i | 0.352859 | − | 0.352859i | ||||
\(285\) | −273.775 | −0.960613 | ||||||||
\(286\) | −57.4662 | − | 57.4662i | −0.200931 | − | 0.200931i | ||||
\(287\) | −1.16802 | −0.00406977 | ||||||||
\(288\) | −10.1664 | − | 10.1664i | −0.0353001 | − | 0.0353001i | ||||
\(289\) | 24.8083i | 0.0858420i | ||||||||
\(290\) | 152.104i | 0.524497i | ||||||||
\(291\) | 369.332 | + | 369.332i | 1.26918 | + | 1.26918i | ||||
\(292\) | 80.6723 | + | 80.6723i | 0.276275 | + | 0.276275i | ||||
\(293\) | 333.324i | 1.13763i | 0.822467 | + | 0.568813i | \(0.192597\pi\) | ||||
−0.822467 | + | 0.568813i | \(0.807403\pi\) | |||||||
\(294\) | 113.800i | 0.387074i | ||||||||
\(295\) | −141.942 | + | 141.942i | −0.481160 | + | 0.481160i | ||||
\(296\) | 264.111 | + | 264.111i | 0.892265 | + | 0.892265i | ||||
\(297\) | −339.617 | −1.14349 | ||||||||
\(298\) | 72.4574 | 0.243146 | ||||||||
\(299\) | 84.7747 | − | 84.7747i | 0.283527 | − | 0.283527i | ||||
\(300\) | −59.9663 | + | 59.9663i | −0.199888 | + | 0.199888i | ||||
\(301\) | 357.525 | 1.18779 | ||||||||
\(302\) | −244.369 | −0.809170 | ||||||||
\(303\) | 14.3141 | − | 14.3141i | 0.0472413 | − | 0.0472413i | ||||
\(304\) | 253.325i | 0.833304i | ||||||||
\(305\) | −156.746 | + | 156.746i | −0.513921 | + | 0.513921i | ||||
\(306\) | − | 17.6006i | − | 0.0575183i | ||||||
\(307\) | 11.3542 | + | 11.3542i | 0.0369844 | + | 0.0369844i | 0.725357 | − | 0.688373i | \(-0.241675\pi\) |
−0.688373 | + | 0.725357i | \(0.741675\pi\) | |||||||
\(308\) | 71.2693 | − | 71.2693i | 0.231394 | − | 0.231394i | ||||
\(309\) | − | 45.2333i | − | 0.146386i | ||||||
\(310\) | 21.5479 | + | 21.5479i | 0.0695095 | + | 0.0695095i | ||||
\(311\) | 16.1530 | 0.0519388 | 0.0259694 | − | 0.999663i | \(-0.491733\pi\) | ||||
0.0259694 | + | 0.999663i | \(0.491733\pi\) | |||||||
\(312\) | −75.2851 | + | 75.2851i | −0.241298 | + | 0.241298i | ||||
\(313\) | − | 166.973i | − | 0.533460i | −0.963771 | − | 0.266730i | \(-0.914057\pi\) | ||
0.963771 | − | 0.266730i | \(-0.0859432\pi\) | |||||||
\(314\) | −114.950 | − | 114.950i | −0.366082 | − | 0.366082i | ||||
\(315\) | −5.99489 | + | 5.99489i | −0.0190314 | + | 0.0190314i | ||||
\(316\) | −60.5790 | + | 60.5790i | −0.191706 | + | 0.191706i | ||||
\(317\) | −103.951 | + | 103.951i | −0.327923 | + | 0.327923i | −0.851796 | − | 0.523874i | \(-0.824486\pi\) |
0.523874 | + | 0.851796i | \(0.324486\pi\) | |||||||
\(318\) | 364.352i | 1.14576i | ||||||||
\(319\) | 337.012 | − | 337.012i | 1.05646 | − | 1.05646i | ||||
\(320\) | −124.278 | − | 124.278i | −0.388369 | − | 0.388369i | ||||
\(321\) | −111.326 | − | 111.326i | −0.346811 | − | 0.346811i | ||||
\(322\) | −171.536 | − | 171.536i | −0.532719 | − | 0.532719i | ||||
\(323\) | 417.006 | − | 417.006i | 1.29104 | − | 1.29104i | ||||
\(324\) | 131.148i | 0.404777i | ||||||||
\(325\) | 50.1705 | + | 50.1705i | 0.154371 | + | 0.154371i | ||||
\(326\) | 243.406 | + | 243.406i | 0.746645 | + | 0.746645i | ||||
\(327\) | 347.596 | + | 347.596i | 1.06299 | + | 1.06299i | ||||
\(328\) | 1.41583 | − | 1.41583i | 0.00431656 | − | 0.00431656i | ||||
\(329\) | −279.303 | −0.848946 | ||||||||
\(330\) | 169.344 | 0.513164 | ||||||||
\(331\) | 33.2430i | 0.100432i | 0.998738 | + | 0.0502161i | \(0.0159910\pi\) | ||||
−0.998738 | + | 0.0502161i | \(0.984009\pi\) | |||||||
\(332\) | 184.628 | 0.556108 | ||||||||
\(333\) | 27.1086i | 0.0814072i | ||||||||
\(334\) | − | 420.134i | − | 1.25789i | ||||||
\(335\) | − | 60.8079i | − | 0.181516i | ||||||
\(336\) | 84.6762 | + | 84.6762i | 0.252012 | + | 0.252012i | ||||
\(337\) | −213.210 | + | 213.210i | −0.632669 | + | 0.632669i | −0.948737 | − | 0.316068i | \(-0.897637\pi\) |
0.316068 | + | 0.948737i | \(0.397637\pi\) | |||||||
\(338\) | −170.845 | − | 170.845i | −0.505459 | − | 0.505459i | ||||
\(339\) | 6.51699 | 0.0192242 | ||||||||
\(340\) | 71.3538i | 0.209864i | ||||||||
\(341\) | − | 95.4860i | − | 0.280018i | ||||||
\(342\) | −23.3886 | + | 23.3886i | −0.0683878 | + | 0.0683878i | ||||
\(343\) | 366.556i | 1.06868i | ||||||||
\(344\) | −433.377 | + | 433.377i | −1.25982 | + | 1.25982i | ||||
\(345\) | 249.818i | 0.724110i | ||||||||
\(346\) | −295.965 | − | 295.965i | −0.855390 | − | 0.855390i | ||||
\(347\) | −624.394 | −1.79941 | −0.899703 | − | 0.436503i | \(-0.856217\pi\) | ||||
−0.899703 | + | 0.436503i | \(0.856217\pi\) | |||||||
\(348\) | −121.577 | − | 121.577i | −0.349359 | − | 0.349359i | ||||
\(349\) | 136.438 | − | 136.438i | 0.390939 | − | 0.390939i | −0.484083 | − | 0.875022i | \(-0.660847\pi\) |
0.875022 | + | 0.484083i | \(0.160847\pi\) | |||||||
\(350\) | 101.517 | − | 101.517i | 0.290047 | − | 0.290047i | ||||
\(351\) | 102.503 | 0.292032 | ||||||||
\(352\) | 297.982i | 0.846539i | ||||||||
\(353\) | −112.415 | −0.318457 | −0.159229 | − | 0.987242i | \(-0.550901\pi\) | ||||
−0.159229 | + | 0.987242i | \(0.550901\pi\) | |||||||
\(354\) | 370.211i | 1.04579i | ||||||||
\(355\) | 247.069 | 0.695970 | ||||||||
\(356\) | 123.425 | − | 123.425i | 0.346698 | − | 0.346698i | ||||
\(357\) | − | 278.776i | − | 0.780886i | ||||||
\(358\) | − | 233.947i | − | 0.653484i | ||||||
\(359\) | −117.123 | + | 117.123i | −0.326247 | + | 0.326247i | −0.851158 | − | 0.524910i | \(-0.824099\pi\) |
0.524910 | + | 0.851158i | \(0.324099\pi\) | |||||||
\(360\) | − | 14.5335i | − | 0.0403709i | ||||||
\(361\) | −747.280 | −2.07003 | ||||||||
\(362\) | −45.3899 | − | 45.3899i | −0.125386 | − | 0.125386i | ||||
\(363\) | −109.685 | − | 109.685i | −0.302164 | − | 0.302164i | ||||
\(364\) | −21.5105 | + | 21.5105i | −0.0590948 | + | 0.0590948i | ||||
\(365\) | 198.895i | 0.544918i | ||||||||
\(366\) | 408.822i | 1.11700i | ||||||||
\(367\) | 137.767 | − | 137.767i | 0.375387 | − | 0.375387i | −0.494048 | − | 0.869435i | \(-0.664483\pi\) |
0.869435 | + | 0.494048i | \(0.164483\pi\) | |||||||
\(368\) | 231.158 | 0.628145 | ||||||||
\(369\) | 0.145322 | 0.000393828 | ||||||||
\(370\) | 179.306i | 0.484611i | ||||||||
\(371\) | 378.053i | 1.01901i | ||||||||
\(372\) | −34.4466 | −0.0925983 | ||||||||
\(373\) | 150.499 | − | 150.499i | 0.403482 | − | 0.403482i | −0.475976 | − | 0.879458i | \(-0.657905\pi\) |
0.879458 | + | 0.475976i | \(0.157905\pi\) | |||||||
\(374\) | −257.940 | + | 257.940i | −0.689679 | + | 0.689679i | ||||
\(375\) | −353.438 | −0.942502 | ||||||||
\(376\) | 338.560 | − | 338.560i | 0.900426 | − | 0.900426i | ||||
\(377\) | −101.717 | + | 101.717i | −0.269806 | + | 0.269806i | ||||
\(378\) | − | 207.408i | − | 0.548698i | ||||||
\(379\) | 422.210 | 1.11401 | 0.557005 | − | 0.830509i | \(-0.311950\pi\) | ||||
0.557005 | + | 0.830509i | \(0.311950\pi\) | |||||||
\(380\) | 94.8188 | − | 94.8188i | 0.249523 | − | 0.249523i | ||||
\(381\) | −269.570 | − | 269.570i | −0.707533 | − | 0.707533i | ||||
\(382\) | −270.381 | + | 270.381i | −0.707805 | + | 0.707805i | ||||
\(383\) | 143.438 | + | 143.438i | 0.374511 | + | 0.374511i | 0.869117 | − | 0.494606i | \(-0.164688\pi\) |
−0.494606 | + | 0.869117i | \(0.664688\pi\) | |||||||
\(384\) | −41.2576 | −0.107442 | ||||||||
\(385\) | 175.712 | 0.456396 | ||||||||
\(386\) | −175.406 | + | 175.406i | −0.454420 | + | 0.454420i | ||||
\(387\) | −44.4824 | −0.114941 | ||||||||
\(388\) | −255.828 | −0.659351 | ||||||||
\(389\) | −9.93096 | − | 9.93096i | −0.0255295 | − | 0.0255295i | 0.694227 | − | 0.719756i | \(-0.255746\pi\) |
−0.719756 | + | 0.694227i | \(0.755746\pi\) | |||||||
\(390\) | −51.1114 | −0.131055 | ||||||||
\(391\) | −380.516 | − | 380.516i | −0.973186 | − | 0.973186i | ||||
\(392\) | −143.131 | − | 143.131i | −0.365130 | − | 0.365130i | ||||
\(393\) | 130.166i | 0.331212i | ||||||||
\(394\) | −212.508 | − | 226.021i | −0.539361 | − | 0.573659i | ||||
\(395\) | −149.356 | −0.378116 | ||||||||
\(396\) | −8.86715 | + | 8.86715i | −0.0223918 | + | 0.0223918i | ||||
\(397\) | 147.995 | − | 147.995i | 0.372784 | − | 0.372784i | −0.495706 | − | 0.868490i | \(-0.665091\pi\) |
0.868490 | + | 0.495706i | \(0.165091\pi\) | |||||||
\(398\) | 137.394i | 0.345212i | ||||||||
\(399\) | −370.453 | + | 370.453i | −0.928454 | + | 0.928454i | ||||
\(400\) | 136.801i | 0.342004i | ||||||||
\(401\) | 478.467i | 1.19318i | 0.802545 | + | 0.596592i | \(0.203479\pi\) | ||||
−0.802545 | + | 0.596592i | \(0.796521\pi\) | |||||||
\(402\) | −79.2991 | − | 79.2991i | −0.197261 | − | 0.197261i | ||||
\(403\) | 28.8196i | 0.0715127i | ||||||||
\(404\) | 9.91507i | 0.0245423i | ||||||||
\(405\) | −161.671 | + | 161.671i | −0.399186 | + | 0.399186i | ||||
\(406\) | 205.817 | + | 205.817i | 0.506939 | + | 0.506939i | ||||
\(407\) | 397.282 | − | 397.282i | 0.976122 | − | 0.976122i | ||||
\(408\) | 337.921 | + | 337.921i | 0.828239 | + | 0.828239i | ||||
\(409\) | − | 550.186i | − | 1.34520i | −0.740007 | − | 0.672599i | \(-0.765178\pi\) | ||
0.740007 | − | 0.672599i | \(-0.234822\pi\) | |||||||
\(410\) | 0.961214 | 0.00234442 | ||||||||
\(411\) | 127.046 | + | 127.046i | 0.309115 | + | 0.309115i | ||||
\(412\) | 15.6661 | + | 15.6661i | 0.0380244 | + | 0.0380244i | ||||
\(413\) | 384.133i | 0.930105i | ||||||||
\(414\) | 21.3420 | + | 21.3420i | 0.0515508 | + | 0.0515508i | ||||
\(415\) | 227.597 | + | 227.597i | 0.548427 | + | 0.548427i | ||||
\(416\) | − | 89.9369i | − | 0.216194i | ||||||
\(417\) | 207.685 | 0.498045 | ||||||||
\(418\) | 685.529 | 1.64002 | ||||||||
\(419\) | − | 268.783i | − | 0.641486i | −0.947166 | − | 0.320743i | \(-0.896067\pi\) | ||
0.947166 | − | 0.320743i | \(-0.103933\pi\) | |||||||
\(420\) | − | 63.3882i | − | 0.150924i | ||||||
\(421\) | −210.501 | − | 210.501i | −0.500002 | − | 0.500002i | 0.411436 | − | 0.911439i | \(-0.365027\pi\) |
−0.911439 | + | 0.411436i | \(0.865027\pi\) | |||||||
\(422\) | 307.356 | 0.728333 | ||||||||
\(423\) | 34.7502 | 0.0821518 | ||||||||
\(424\) | −458.261 | − | 458.261i | −1.08080 | − | 1.08080i | ||||
\(425\) | 225.193 | − | 225.193i | 0.529866 | − | 0.529866i | ||||
\(426\) | 322.201 | − | 322.201i | 0.756340 | − | 0.756340i | ||||
\(427\) | 424.196i | 0.993432i | ||||||||
\(428\) | 77.1132 | 0.180171 | ||||||||
\(429\) | 113.246 | + | 113.246i | 0.263976 | + | 0.263976i | ||||
\(430\) | −294.222 | −0.684237 | ||||||||
\(431\) | −151.648 | −0.351852 | −0.175926 | − | 0.984403i | \(-0.556292\pi\) | ||||
−0.175926 | + | 0.984403i | \(0.556292\pi\) | |||||||
\(432\) | 139.749 | + | 139.749i | 0.323494 | + | 0.323494i | ||||
\(433\) | 371.716i | 0.858467i | 0.903194 | + | 0.429233i | \(0.141216\pi\) | ||||
−0.903194 | + | 0.429233i | \(0.858784\pi\) | |||||||
\(434\) | 58.3144 | 0.134365 | ||||||||
\(435\) | − | 299.745i | − | 0.689068i | ||||||
\(436\) | −240.772 | −0.552230 | ||||||||
\(437\) | 1011.30i | 2.31419i | ||||||||
\(438\) | 259.377 | + | 259.377i | 0.592186 | + | 0.592186i | ||||
\(439\) | −527.707 | − | 527.707i | −1.20207 | − | 1.20207i | −0.973537 | − | 0.228530i | \(-0.926608\pi\) |
−0.228530 | − | 0.973537i | \(-0.573392\pi\) | |||||||
\(440\) | −212.991 | + | 212.991i | −0.484071 | + | 0.484071i | ||||
\(441\) | − | 14.6911i | − | 0.0333132i | ||||||
\(442\) | 77.8515 | − | 77.8515i | 0.176135 | − | 0.176135i | ||||
\(443\) | 300.537 | 0.678413 | 0.339207 | − | 0.940712i | \(-0.389841\pi\) | ||||
0.339207 | + | 0.940712i | \(0.389841\pi\) | |||||||
\(444\) | −143.319 | − | 143.319i | −0.322791 | − | 0.322791i | ||||
\(445\) | 304.300 | 0.683819 | ||||||||
\(446\) | −46.0610 | − | 46.0610i | −0.103276 | − | 0.103276i | ||||
\(447\) | −142.788 | −0.319437 | ||||||||
\(448\) | −336.329 | −0.750735 | ||||||||
\(449\) | − | 693.314i | − | 1.54413i | −0.635544 | − | 0.772065i | \(-0.719224\pi\) | ||
0.635544 | − | 0.772065i | \(-0.280776\pi\) | |||||||
\(450\) | −12.6304 | + | 12.6304i | −0.0280676 | + | 0.0280676i | ||||
\(451\) | −2.12973 | − | 2.12973i | −0.00472223 | − | 0.00472223i | ||||
\(452\) | −2.25709 | + | 2.25709i | −0.00499356 | + | 0.00499356i | ||||
\(453\) | 481.567 | 1.06306 | ||||||||
\(454\) | −12.2668 | −0.0270193 | ||||||||
\(455\) | −53.0335 | −0.116557 | ||||||||
\(456\) | − | 898.097i | − | 1.96951i | ||||||
\(457\) | 483.318 | 1.05759 | 0.528794 | − | 0.848750i | \(-0.322644\pi\) | ||||
0.528794 | + | 0.848750i | \(0.322644\pi\) | |||||||
\(458\) | − | 479.121i | − | 1.04612i | ||||||
\(459\) | − | 460.091i | − | 1.00238i | ||||||
\(460\) | −86.5218 | − | 86.5218i | −0.188091 | − | 0.188091i | ||||
\(461\) | −143.318 | + | 143.318i | −0.310886 | + | 0.310886i | −0.845253 | − | 0.534367i | \(-0.820550\pi\) |
0.534367 | + | 0.845253i | \(0.320550\pi\) | |||||||
\(462\) | 229.145 | − | 229.145i | 0.495985 | − | 0.495985i | ||||
\(463\) | 85.4692 | − | 85.4692i | 0.184599 | − | 0.184599i | −0.608758 | − | 0.793356i | \(-0.708332\pi\) |
0.793356 | + | 0.608758i | \(0.208332\pi\) | |||||||
\(464\) | −277.355 | −0.597747 | ||||||||
\(465\) | −42.4635 | − | 42.4635i | −0.0913194 | − | 0.0913194i | ||||
\(466\) | −133.657 | + | 133.657i | −0.286817 | + | 0.286817i | ||||
\(467\) | 256.789 | − | 256.789i | 0.549869 | − | 0.549869i | −0.376534 | − | 0.926403i | \(-0.622884\pi\) |
0.926403 | + | 0.376534i | \(0.122884\pi\) | |||||||
\(468\) | 2.67628 | − | 2.67628i | 0.00571855 | − | 0.00571855i | ||||
\(469\) | −82.2812 | − | 82.2812i | −0.175440 | − | 0.175440i | ||||
\(470\) | 229.850 | 0.489043 | ||||||||
\(471\) | 226.526 | + | 226.526i | 0.480946 | + | 0.480946i | ||||
\(472\) | −465.631 | − | 465.631i | −0.986506 | − | 0.986506i | ||||
\(473\) | 651.897 | + | 651.897i | 1.37822 | + | 1.37822i | ||||
\(474\) | −194.773 | + | 194.773i | −0.410914 | + | 0.410914i | ||||
\(475\) | −598.498 | −1.26000 | ||||||||
\(476\) | 96.5511 | + | 96.5511i | 0.202838 | + | 0.202838i | ||||
\(477\) | − | 47.0364i | − | 0.0986089i | ||||||
\(478\) | −195.619 | + | 195.619i | −0.409245 | + | 0.409245i | ||||
\(479\) | −131.932 | −0.275432 | −0.137716 | − | 0.990472i | \(-0.543976\pi\) | ||||
−0.137716 | + | 0.990472i | \(0.543976\pi\) | |||||||
\(480\) | 132.515 | + | 132.515i | 0.276073 | + | 0.276073i | ||||
\(481\) | −119.908 | + | 119.908i | −0.249288 | + | 0.249288i | ||||
\(482\) | 440.763 | 0.914446 | ||||||||
\(483\) | 338.037 | + | 338.037i | 0.699869 | + | 0.699869i | ||||
\(484\) | 75.9766 | 0.156977 | ||||||||
\(485\) | −315.368 | − | 315.368i | −0.650244 | − | 0.650244i | ||||
\(486\) | 53.5557i | 0.110197i | ||||||||
\(487\) | − | 664.697i | − | 1.36488i | −0.730941 | − | 0.682441i | \(-0.760918\pi\) | ||
0.730941 | − | 0.682441i | \(-0.239082\pi\) | |||||||
\(488\) | −514.193 | − | 514.193i | −1.05367 | − | 1.05367i | ||||
\(489\) | −479.669 | − | 479.669i | −0.980919 | − | 0.980919i | ||||
\(490\) | − | 97.1722i | − | 0.198311i | ||||||
\(491\) | − | 564.280i | − | 1.14925i | −0.818418 | − | 0.574624i | \(-0.805148\pi\) | ||
0.818418 | − | 0.574624i | \(-0.194852\pi\) | |||||||
\(492\) | −0.768299 | + | 0.768299i | −0.00156158 | + | 0.00156158i | ||||
\(493\) | 456.562 | + | 456.562i | 0.926090 | + | 0.926090i | ||||
\(494\) | −206.907 | −0.418839 | ||||||||
\(495\) | −21.8617 | −0.0441650 | ||||||||
\(496\) | −39.2916 | + | 39.2916i | −0.0792170 | + | 0.0792170i | ||||
\(497\) | 334.317 | − | 334.317i | 0.672671 | − | 0.672671i | ||||
\(498\) | 593.615 | 1.19200 | ||||||||
\(499\) | 850.705 | 1.70482 | 0.852410 | − | 0.522875i | \(-0.175140\pi\) | ||||
0.852410 | + | 0.522875i | \(0.175140\pi\) | |||||||
\(500\) | 122.409 | − | 122.409i | 0.244819 | − | 0.244819i | ||||
\(501\) | 827.937i | 1.65257i | ||||||||
\(502\) | 208.079 | − | 208.079i | 0.414499 | − | 0.414499i | ||||
\(503\) | 610.493i | 1.21370i | 0.794815 | + | 0.606852i | \(0.207568\pi\) | ||||
−0.794815 | + | 0.606852i | \(0.792432\pi\) | |||||||
\(504\) | −19.6658 | − | 19.6658i | −0.0390194 | − | 0.0390194i | ||||
\(505\) | −12.2227 | + | 12.2227i | −0.0242033 | + | 0.0242033i | ||||
\(506\) | − | 625.542i | − | 1.23625i | ||||||
\(507\) | 336.676 | + | 336.676i | 0.664056 | + | 0.664056i | ||||
\(508\) | 186.725 | 0.367569 | ||||||||
\(509\) | −465.508 | + | 465.508i | −0.914555 | + | 0.914555i | −0.996626 | − | 0.0820715i | \(-0.973846\pi\) |
0.0820715 | + | 0.996626i | \(0.473846\pi\) | |||||||
\(510\) | 229.416i | 0.449836i | ||||||||
\(511\) | 269.131 | + | 269.131i | 0.526676 | + | 0.526676i | ||||
\(512\) | 309.712 | − | 309.712i | 0.604906 | − | 0.604906i | ||||
\(513\) | −611.394 | + | 611.394i | −1.19180 | + | 1.19180i | ||||
\(514\) | −76.6461 | + | 76.6461i | −0.149117 | + | 0.149117i | ||||
\(515\) | 38.6242i | 0.0749984i | ||||||||
\(516\) | 235.172 | − | 235.172i | 0.455760 | − | 0.455760i | ||||
\(517\) | −509.271 | − | 509.271i | −0.985050 | − | 0.985050i | ||||
\(518\) | 242.625 | + | 242.625i | 0.468387 | + | 0.468387i | ||||
\(519\) | 583.244 | + | 583.244i | 1.12378 | + | 1.12378i | ||||
\(520\) | 64.2851 | − | 64.2851i | 0.123625 | − | 0.123625i | ||||
\(521\) | 17.7961i | 0.0341576i | 0.999854 | + | 0.0170788i | \(0.00543661\pi\) | ||||
−0.999854 | + | 0.0170788i | \(0.994563\pi\) | |||||||
\(522\) | −25.6072 | − | 25.6072i | −0.0490560 | − | 0.0490560i | ||||
\(523\) | −649.537 | − | 649.537i | −1.24194 | − | 1.24194i | −0.959193 | − | 0.282752i | \(-0.908753\pi\) |
−0.282752 | − | 0.959193i | \(-0.591247\pi\) | |||||||
\(524\) | −45.0817 | − | 45.0817i | −0.0860338 | − | 0.0860338i | ||||
\(525\) | −200.054 | + | 200.054i | −0.381055 | + | 0.381055i | ||||
\(526\) | −590.909 | −1.12340 | ||||||||
\(527\) | 129.358 | 0.245462 | ||||||||
\(528\) | 308.791i | 0.584831i | ||||||||
\(529\) | 393.807 | 0.744436 | ||||||||
\(530\) | − | 311.116i | − | 0.587011i | ||||||
\(531\) | − | 47.7929i | − | 0.0900054i | ||||||
\(532\) | − | 256.605i | − | 0.482340i | ||||||
\(533\) | 0.642794 | + | 0.642794i | 0.00120599 | + | 0.00120599i | ||||
\(534\) | 396.834 | − | 396.834i | 0.743135 | − | 0.743135i | ||||
\(535\) | 95.0601 | + | 95.0601i | 0.177682 | + | 0.177682i | ||||
\(536\) | 199.476 | 0.372156 | ||||||||
\(537\) | 461.029i | 0.858527i | ||||||||
\(538\) | 55.5332i | 0.103221i | ||||||||
\(539\) | −215.301 | + | 215.301i | −0.399445 | + | 0.399445i | ||||
\(540\) | − | 104.616i | − | 0.193733i | ||||||
\(541\) | 284.018 | − | 284.018i | 0.524987 | − | 0.524987i | −0.394086 | − | 0.919073i | \(-0.628939\pi\) |
0.919073 | + | 0.394086i | \(0.128939\pi\) | |||||||
\(542\) | 750.968i | 1.38555i | ||||||||
\(543\) | 89.4477 | + | 89.4477i | 0.164729 | + | 0.164729i | ||||
\(544\) | −403.686 | −0.742071 | ||||||||
\(545\) | −296.808 | − | 296.808i | −0.544603 | − | 0.544603i | ||||
\(546\) | −69.1605 | + | 69.1605i | −0.126668 | + | 0.126668i | ||||
\(547\) | 701.955 | − | 701.955i | 1.28328 | − | 1.28328i | 0.344491 | − | 0.938790i | \(-0.388051\pi\) |
0.938790 | − | 0.344491i | \(-0.111949\pi\) | |||||||
\(548\) | −88.0020 | −0.160588 | ||||||||
\(549\) | − | 52.7773i | − | 0.0961336i | ||||||
\(550\) | 370.203 | 0.673096 | ||||||||
\(551\) | − | 1213.41i | − | 2.20220i | ||||||
\(552\) | −819.509 | −1.48462 | ||||||||
\(553\) | −202.098 | + | 202.098i | −0.365457 | + | 0.365457i | ||||
\(554\) | 126.302i | 0.227983i | ||||||||
\(555\) | − | 353.350i | − | 0.636666i | ||||||
\(556\) | −71.9293 | + | 71.9293i | −0.129369 | + | 0.129369i | ||||
\(557\) | − | 560.297i | − | 1.00592i | −0.864310 | − | 0.502960i | \(-0.832244\pi\) | ||
0.864310 | − | 0.502960i | \(-0.167756\pi\) | |||||||
\(558\) | −7.25533 | −0.0130024 | ||||||||
\(559\) | −196.756 | − | 196.756i | −0.351978 | − | 0.351978i | ||||
\(560\) | −72.3040 | − | 72.3040i | −0.129114 | − | 0.129114i | ||||
\(561\) | 508.310 | − | 508.310i | 0.906078 | − | 0.906078i | ||||
\(562\) | 809.169i | 1.43980i | ||||||||
\(563\) | − | 227.622i | − | 0.404302i | −0.979354 | − | 0.202151i | \(-0.935207\pi\) | ||
0.979354 | − | 0.202151i | \(-0.0647931\pi\) | |||||||
\(564\) | −183.719 | + | 183.719i | −0.325744 | + | 0.325744i | ||||
\(565\) | −5.56478 | −0.00984918 | ||||||||
\(566\) | 276.433 | 0.488397 | ||||||||
\(567\) | 437.523i | 0.771646i | ||||||||
\(568\) | 810.492i | 1.42692i | ||||||||
\(569\) | 798.239 | 1.40288 | 0.701441 | − | 0.712728i | \(-0.252541\pi\) | ||||
0.701441 | + | 0.712728i | \(0.252541\pi\) | |||||||
\(570\) | 304.861 | − | 304.861i | 0.534844 | − | 0.534844i | ||||
\(571\) | −506.836 | + | 506.836i | −0.887629 | + | 0.887629i | −0.994295 | − | 0.106666i | \(-0.965983\pi\) |
0.106666 | + | 0.994295i | \(0.465983\pi\) | |||||||
\(572\) | −78.4429 | −0.137138 | ||||||||
\(573\) | 532.828 | − | 532.828i | 0.929891 | − | 0.929891i | ||||
\(574\) | 1.30065 | − | 1.30065i | 0.00226594 | − | 0.00226594i | ||||
\(575\) | 546.127i | 0.949786i | ||||||||
\(576\) | 41.8452 | 0.0726480 | ||||||||
\(577\) | −276.243 | + | 276.243i | −0.478757 | + | 0.478757i | −0.904734 | − | 0.425977i | \(-0.859930\pi\) |
0.425977 | + | 0.904734i | \(0.359930\pi\) | |||||||
\(578\) | −27.6253 | − | 27.6253i | −0.0477946 | − | 0.0477946i | ||||
\(579\) | 345.664 | − | 345.664i | 0.597002 | − | 0.597002i | ||||
\(580\) | 103.813 | + | 103.813i | 0.178988 | + | 0.178988i | ||||
\(581\) | 615.938 | 1.06013 | ||||||||
\(582\) | −822.538 | −1.41330 | ||||||||
\(583\) | −689.328 | + | 689.328i | −1.18238 | + | 1.18238i | ||||
\(584\) | −652.460 | −1.11723 | ||||||||
\(585\) | 6.59829 | 0.0112791 | ||||||||
\(586\) | −371.173 | − | 371.173i | −0.633400 | − | 0.633400i | ||||
\(587\) | −93.0829 | −0.158574 | −0.0792870 | − | 0.996852i | \(-0.525264\pi\) | ||||
−0.0792870 | + | 0.996852i | \(0.525264\pi\) | |||||||
\(588\) | 77.6699 | + | 77.6699i | 0.132092 | + | 0.132092i | ||||
\(589\) | −171.898 | − | 171.898i | −0.291848 | − | 0.291848i | ||||
\(590\) | − | 316.119i | − | 0.535795i | ||||||
\(591\) | 418.780 | + | 445.410i | 0.708595 | + | 0.753654i | ||||
\(592\) | −326.955 | −0.552290 | ||||||||
\(593\) | 772.575 | − | 772.575i | 1.30283 | − | 1.30283i | 0.376346 | − | 0.926479i | \(-0.377180\pi\) |
0.926479 | − | 0.376346i | \(-0.122820\pi\) | |||||||
\(594\) | 378.180 | − | 378.180i | 0.636666 | − | 0.636666i | ||||
\(595\) | 238.044i | 0.400074i | ||||||||
\(596\) | 49.4532 | − | 49.4532i | 0.0829751 | − | 0.0829751i | ||||
\(597\) | − | 270.756i | − | 0.453528i | ||||||
\(598\) | 188.801i | 0.315721i | ||||||||
\(599\) | 181.454 | + | 181.454i | 0.302929 | + | 0.302929i | 0.842159 | − | 0.539230i | \(-0.181285\pi\) |
−0.539230 | + | 0.842159i | \(0.681285\pi\) | |||||||
\(600\) | − | 484.994i | − | 0.808324i | ||||||
\(601\) | − | 683.225i | − | 1.13681i | −0.822747 | − | 0.568407i | \(-0.807560\pi\) | ||
0.822747 | − | 0.568407i | \(-0.192440\pi\) | |||||||
\(602\) | −398.121 | + | 398.121i | −0.661331 | + | 0.661331i | ||||
\(603\) | 10.2372 | + | 10.2372i | 0.0169771 | + | 0.0169771i | ||||
\(604\) | −166.785 | + | 166.785i | −0.276135 | + | 0.276135i | ||||
\(605\) | 93.6590 | + | 93.6590i | 0.154808 | + | 0.154808i | ||||
\(606\) | 31.8789i | 0.0526055i | ||||||||
\(607\) | 56.7164 | 0.0934372 | 0.0467186 | − | 0.998908i | \(-0.485124\pi\) | ||||
0.0467186 | + | 0.998908i | \(0.485124\pi\) | |||||||
\(608\) | 536.441 | + | 536.441i | 0.882304 | + | 0.882304i | ||||
\(609\) | −405.594 | − | 405.594i | −0.666000 | − | 0.666000i | ||||
\(610\) | − | 349.088i | − | 0.572275i | ||||||
\(611\) | 153.708 | + | 153.708i | 0.251568 | + | 0.251568i | ||||
\(612\) | −12.0126 | − | 12.0126i | −0.0196285 | − | 0.0196285i | ||||
\(613\) | 328.690i | 0.536199i | 0.963391 | + | 0.268100i | \(0.0863957\pi\) | ||||
−0.963391 | + | 0.268100i | \(0.913604\pi\) | |||||||
\(614\) | −25.2869 | −0.0411839 | ||||||||
\(615\) | −1.89422 | −0.00308003 | ||||||||
\(616\) | 576.411i | 0.935732i | ||||||||
\(617\) | 561.376i | 0.909847i | 0.890531 | + | 0.454924i | \(0.150333\pi\) | ||||
−0.890531 | + | 0.454924i | \(0.849667\pi\) | |||||||
\(618\) | 50.3695 | + | 50.3695i | 0.0815040 | + | 0.0815040i | ||||
\(619\) | −385.562 | −0.622879 | −0.311440 | − | 0.950266i | \(-0.600811\pi\) | ||||
−0.311440 | + | 0.950266i | \(0.600811\pi\) | |||||||
\(620\) | 29.4135 | 0.0474412 | ||||||||
\(621\) | 557.895 | + | 557.895i | 0.898381 | + | 0.898381i | ||||
\(622\) | −17.9871 | + | 17.9871i | −0.0289181 | + | 0.0289181i | ||||
\(623\) | 411.757 | − | 411.757i | 0.660927 | − | 0.660927i | ||||
\(624\) | − | 93.1992i | − | 0.149358i | ||||||
\(625\) | −147.650 | −0.236240 | ||||||||
\(626\) | 185.932 | + | 185.932i | 0.297017 | + | 0.297017i | ||||
\(627\) | −1350.94 | −2.15461 | ||||||||
\(628\) | −156.909 | −0.249856 | ||||||||
\(629\) | 538.212 | + | 538.212i | 0.855663 | + | 0.855663i | ||||
\(630\) | − | 13.3512i | − | 0.0211924i | ||||||
\(631\) | 538.041 | 0.852680 | 0.426340 | − | 0.904563i | \(-0.359803\pi\) | ||||
0.426340 | + | 0.904563i | \(0.359803\pi\) | |||||||
\(632\) | − | 489.950i | − | 0.775237i | ||||||
\(633\) | −605.693 | −0.956860 | ||||||||
\(634\) | − | 231.510i | − | 0.365157i | ||||||
\(635\) | 230.183 | + | 230.183i | 0.362492 | + | 0.362492i | ||||
\(636\) | 248.675 | + | 248.675i | 0.390998 | + | 0.390998i | ||||
\(637\) | 64.9822 | − | 64.9822i | 0.102013 | − | 0.102013i | ||||
\(638\) | 750.558i | 1.17642i | ||||||||
\(639\) | −41.5949 | + | 41.5949i | −0.0650937 | + | 0.0650937i | ||||
\(640\) | 35.2294 | 0.0550460 | ||||||||
\(641\) | −146.951 | − | 146.951i | −0.229253 | − | 0.229253i | 0.583127 | − | 0.812381i | \(-0.301829\pi\) |
−0.812381 | + | 0.583127i | \(0.801829\pi\) | |||||||
\(642\) | 247.934 | 0.386190 | ||||||||
\(643\) | 377.506 | + | 377.506i | 0.587100 | + | 0.587100i | 0.936845 | − | 0.349745i | \(-0.113732\pi\) |
−0.349745 | + | 0.936845i | \(0.613732\pi\) | |||||||
\(644\) | −234.151 | −0.363588 | ||||||||
\(645\) | 579.809 | 0.898929 | ||||||||
\(646\) | 928.711i | 1.43763i | ||||||||
\(647\) | 644.180 | − | 644.180i | 0.995642 | − | 0.995642i | −0.00434900 | − | 0.999991i | \(-0.501384\pi\) |
0.999991 | + | 0.00434900i | \(0.00138433\pi\) | |||||||
\(648\) | −530.348 | − | 530.348i | −0.818438 | − | 0.818438i | ||||
\(649\) | −700.414 | + | 700.414i | −1.07922 | + | 1.07922i | ||||
\(650\) | −111.735 | −0.171899 | ||||||||
\(651\) | −114.917 | −0.176524 | ||||||||
\(652\) | 332.256 | 0.509596 | ||||||||
\(653\) | 187.359i | 0.286920i | 0.989656 | + | 0.143460i | \(0.0458228\pi\) | ||||
−0.989656 | + | 0.143460i | \(0.954177\pi\) | |||||||
\(654\) | −774.130 | −1.18369 | ||||||||
\(655\) | − | 111.148i | − | 0.169691i | ||||||
\(656\) | 1.75273i | 0.00267184i | ||||||||
\(657\) | −33.4846 | − | 33.4846i | −0.0509660 | − | 0.0509660i | ||||
\(658\) | 311.017 | − | 311.017i | 0.472671 | − | 0.472671i | ||||
\(659\) | −716.817 | + | 716.817i | −1.08773 | + | 1.08773i | −0.0919724 | + | 0.995762i | \(0.529317\pi\) |
−0.995762 | + | 0.0919724i | \(0.970683\pi\) | |||||||
\(660\) | 115.580 | − | 115.580i | 0.175121 | − | 0.175121i | ||||
\(661\) | −606.010 | −0.916808 | −0.458404 | − | 0.888744i | \(-0.651579\pi\) | ||||
−0.458404 | + | 0.888744i | \(0.651579\pi\) | |||||||
\(662\) | −37.0177 | − | 37.0177i | −0.0559180 | − | 0.0559180i | ||||
\(663\) | −153.418 | + | 153.418i | −0.231400 | + | 0.231400i | ||||
\(664\) | −746.616 | + | 746.616i | −1.12442 | + | 1.12442i | ||||
\(665\) | 316.326 | − | 316.326i | 0.475678 | − | 0.475678i | ||||
\(666\) | −30.1867 | − | 30.1867i | −0.0453254 | − | 0.0453254i | ||||
\(667\) | −1107.23 | −1.66002 | ||||||||
\(668\) | −286.747 | − | 286.747i | −0.429262 | − | 0.429262i | ||||
\(669\) | 90.7702 | + | 90.7702i | 0.135680 | + | 0.135680i | ||||
\(670\) | 67.7125 | + | 67.7125i | 0.101063 | + | 0.101063i | ||||
\(671\) | −773.462 | + | 773.462i | −1.15270 | + | 1.15270i | ||||
\(672\) | 358.621 | 0.533662 | ||||||||
\(673\) | 572.493 | + | 572.493i | 0.850658 | + | 0.850658i | 0.990214 | − | 0.139556i | \(-0.0445676\pi\) |
−0.139556 | + | 0.990214i | \(0.544568\pi\) | |||||||
\(674\) | − | 474.838i | − | 0.704507i | ||||||
\(675\) | −330.168 | + | 330.168i | −0.489137 | + | 0.489137i | ||||
\(676\) | −233.208 | −0.344983 | ||||||||
\(677\) | −861.160 | − | 861.160i | −1.27202 | − | 1.27202i | −0.945025 | − | 0.326998i | \(-0.893963\pi\) |
−0.326998 | − | 0.945025i | \(-0.606037\pi\) | |||||||
\(678\) | −7.25698 | + | 7.25698i | −0.0107035 | + | 0.0107035i | ||||
\(679\) | −853.470 | −1.25695 | ||||||||
\(680\) | −288.547 | − | 288.547i | −0.424334 | − | 0.424334i | ||||
\(681\) | 24.1735 | 0.0354971 | ||||||||
\(682\) | 106.328 | + | 106.328i | 0.155907 | + | 0.155907i | ||||
\(683\) | 874.996i | 1.28111i | 0.767914 | + | 0.640553i | \(0.221295\pi\) | ||||
−0.767914 | + | 0.640553i | \(0.778705\pi\) | |||||||
\(684\) | 31.9261i | 0.0466756i | ||||||||
\(685\) | −108.483 | − | 108.483i | −0.158370 | − | 0.158370i | ||||
\(686\) | −408.178 | − | 408.178i | −0.595011 | − | 0.595011i | ||||
\(687\) | 944.181i | 1.37435i | ||||||||
\(688\) | − | 536.499i | − | 0.779796i | ||||||
\(689\) | 208.053 | − | 208.053i | 0.301964 | − | 0.301964i | ||||
\(690\) | −278.184 | − | 278.184i | −0.403166 | − | 0.403166i | ||||
\(691\) | 238.390 | 0.344993 | 0.172496 | − | 0.985010i | \(-0.444817\pi\) | ||||
0.172496 | + | 0.985010i | \(0.444817\pi\) | |||||||
\(692\) | −404.000 | −0.583816 | ||||||||
\(693\) | −29.5817 | + | 29.5817i | −0.0426865 | + | 0.0426865i | ||||
\(694\) | 695.292 | − | 695.292i | 1.00186 | − | 1.00186i | ||||
\(695\) | −177.339 | −0.255165 | ||||||||
\(696\) | 983.289 | 1.41277 | ||||||||
\(697\) | 2.88522 | − | 2.88522i | 0.00413948 | − | 0.00413948i | ||||
\(698\) | 303.860i | 0.435329i | ||||||||
\(699\) | 263.391 | − | 263.391i | 0.376811 | − | 0.376811i | ||||
\(700\) | − | 138.573i | − | 0.197961i | ||||||
\(701\) | −82.0413 | − | 82.0413i | −0.117035 | − | 0.117035i | 0.646164 | − | 0.763199i | \(-0.276372\pi\) |
−0.763199 | + | 0.646164i | \(0.776372\pi\) | |||||||
\(702\) | −114.142 | + | 114.142i | −0.162596 | + | 0.162596i | ||||
\(703\) | − | 1430.41i | − | 2.03472i | ||||||
\(704\) | −613.250 | − | 613.250i | −0.871094 | − | 0.871094i | ||||
\(705\) | −452.954 | −0.642489 | ||||||||
\(706\) | 125.180 | − | 125.180i | 0.177309 | − | 0.177309i | ||||
\(707\) | 33.0777i | 0.0467860i | ||||||||
\(708\) | 252.674 | + | 252.674i | 0.356884 | + | 0.356884i | ||||
\(709\) | −757.263 | + | 757.263i | −1.06807 | + | 1.06807i | −0.0705643 | + | 0.997507i | \(0.522480\pi\) |
−0.997507 | + | 0.0705643i | \(0.977520\pi\) | |||||||
\(710\) | −275.123 | + | 275.123i | −0.387498 | + | 0.387498i | ||||
\(711\) | 25.1445 | − | 25.1445i | 0.0353650 | − | 0.0353650i | ||||
\(712\) | 998.232i | 1.40201i | ||||||||
\(713\) | −156.857 | + | 156.857i | −0.219995 | + | 0.219995i | ||||
\(714\) | 310.431 | + | 310.431i | 0.434777 | + | 0.434777i | ||||
\(715\) | −96.6992 | − | 96.6992i | −0.135244 | − | 0.135244i | ||||
\(716\) | −159.672 | − | 159.672i | −0.223006 | − | 0.223006i | ||||
\(717\) | 385.497 | − | 385.497i | 0.537653 | − | 0.537653i | ||||
\(718\) | − | 260.844i | − | 0.363292i | ||||||
\(719\) | 997.137 | + | 997.137i | 1.38684 | + | 1.38684i | 0.831873 | + | 0.554966i | \(0.187269\pi\) |
0.554966 | + | 0.831873i | \(0.312731\pi\) | |||||||
\(720\) | 8.99588 | + | 8.99588i | 0.0124943 | + | 0.0124943i | ||||
\(721\) | 52.2636 | + | 52.2636i | 0.0724877 | + | 0.0724877i | ||||
\(722\) | 832.132 | − | 832.132i | 1.15254 | − | 1.15254i | ||||
\(723\) | −868.591 | −1.20137 | ||||||||
\(724\) | −61.9585 | −0.0855780 | ||||||||
\(725\) | − | 655.271i | − | 0.903822i | ||||||
\(726\) | 244.280 | 0.336474 | ||||||||
\(727\) | − | 502.751i | − | 0.691542i | −0.938319 | − | 0.345771i | \(-0.887617\pi\) | ||
0.938319 | − | 0.345771i | \(-0.112383\pi\) | |||||||
\(728\) | − | 173.972i | − | 0.238973i | ||||||
\(729\) | 670.982i | 0.920414i | ||||||||
\(730\) | −221.479 | − | 221.479i | −0.303396 | − | 0.303396i | ||||
\(731\) | −883.149 | + | 883.149i | −1.20814 | + | 1.20814i | ||||
\(732\) | 279.026 | + | 279.026i | 0.381183 | + | 0.381183i | ||||
\(733\) | 667.873 | 0.911149 | 0.455575 | − | 0.890198i | \(-0.349434\pi\) | ||||
0.455575 | + | 0.890198i | \(0.349434\pi\) | |||||||
\(734\) | 306.820i | 0.418011i | ||||||||
\(735\) | 191.493i | 0.260534i | ||||||||
\(736\) | 489.500 | − | 489.500i | 0.665081 | − | 0.665081i | ||||
\(737\) | − | 300.057i | − | 0.407132i | ||||||
\(738\) | −0.161823 | + | 0.161823i | −0.000219273 | + | 0.000219273i | ||||
\(739\) | − | 735.904i | − | 0.995811i | −0.867231 | − | 0.497905i | \(-0.834103\pi\) | ||
0.867231 | − | 0.497905i | \(-0.165897\pi\) | |||||||
\(740\) | 122.379 | + | 122.379i | 0.165377 | + | 0.165377i | ||||
\(741\) | 407.741 | 0.550258 | ||||||||
\(742\) | −420.981 | − | 420.981i | −0.567359 | − | 0.567359i | ||||
\(743\) | −341.898 | + | 341.898i | −0.460159 | + | 0.460159i | −0.898707 | − | 0.438549i | \(-0.855493\pi\) |
0.438549 | + | 0.898707i | \(0.355493\pi\) | |||||||
\(744\) | 139.298 | − | 139.298i | 0.187229 | − | 0.187229i | ||||
\(745\) | 121.925 | 0.163658 | ||||||||
\(746\) | 335.175i | 0.449296i | ||||||||
\(747\) | −76.6335 | −0.102588 | ||||||||
\(748\) | 352.095i | 0.470715i | ||||||||
\(749\) | 257.258 | 0.343468 | ||||||||
\(750\) | 393.570 | − | 393.570i | 0.524760 | − | 0.524760i | ||||
\(751\) | − | 529.592i | − | 0.705182i | −0.935778 | − | 0.352591i | \(-0.885301\pi\) | ||
0.935778 | − | 0.352591i | \(-0.114699\pi\) | |||||||
\(752\) | 419.120i | 0.557341i | ||||||||
\(753\) | −410.050 | + | 410.050i | −0.544556 | + | 0.544556i | ||||
\(754\) | − | 226.533i | − | 0.300442i | ||||||
\(755\) | −411.204 | −0.544641 | ||||||||
\(756\) | −141.559 | − | 141.559i | −0.187247 | − | 0.187247i | ||||
\(757\) | 600.515 | + | 600.515i | 0.793283 | + | 0.793283i | 0.982026 | − | 0.188744i | \(-0.0604415\pi\) |
−0.188744 | + | 0.982026i | \(0.560441\pi\) | |||||||
\(758\) | −470.151 | + | 470.151i | −0.620251 | + | 0.620251i | ||||
\(759\) | 1232.73i | 1.62415i | ||||||||
\(760\) | 766.874i | 1.00905i | ||||||||
\(761\) | −238.390 | + | 238.390i | −0.313259 | + | 0.313259i | −0.846171 | − | 0.532912i | \(-0.821098\pi\) |
0.532912 | + | 0.846171i | \(0.321098\pi\) | |||||||
\(762\) | 600.358 | 0.787871 | ||||||||
\(763\) | −803.242 | −1.05274 | ||||||||
\(764\) | 369.078i | 0.483086i | ||||||||
\(765\) | − | 29.6168i | − | 0.0387148i | ||||||
\(766\) | −319.450 | −0.417036 | ||||||||
\(767\) | 211.399 | − | 211.399i | 0.275618 | − | 0.275618i | ||||
\(768\) | −536.233 | + | 536.233i | −0.698220 | + | 0.698220i | ||||
\(769\) | 637.452 | 0.828937 | 0.414468 | − | 0.910064i | \(-0.363968\pi\) | ||||
0.414468 | + | 0.910064i | \(0.363968\pi\) | |||||||
\(770\) | −195.664 | + | 195.664i | −0.254109 | + | 0.254109i | ||||
\(771\) | 151.043 | − | 151.043i | 0.195905 | − | 0.195905i | ||||
\(772\) | 239.434i | 0.310148i | ||||||||
\(773\) | −457.236 | −0.591508 | −0.295754 | − | 0.955264i | \(-0.595571\pi\) | ||||
−0.295754 | + | 0.955264i | \(0.595571\pi\) | |||||||
\(774\) | 49.5332 | − | 49.5332i | 0.0639964 | − | 0.0639964i | ||||
\(775\) | −92.8293 | − | 92.8293i | −0.119780 | − |