Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(99,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.v (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 289.8 | ||
Character | \(\chi\) | \(=\) | 370.289 |
Dual form | 370.2.v.a.169.8 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | 0.434686 | − | 1.19429i | 0.250966 | − | 0.689524i | −0.748680 | − | 0.662931i | \(-0.769312\pi\) |
0.999646 | − | 0.0265924i | \(-0.00846564\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −0.640316 | + | 2.14243i | −0.286358 | + | 0.958123i | ||||
\(6\) | 1.27094i | 0.518858i | ||||||||
\(7\) | −2.39627 | + | 0.422528i | −0.905707 | + | 0.159701i | −0.607053 | − | 0.794661i | \(-0.707649\pi\) |
−0.298653 | + | 0.954362i | \(0.596537\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 1.06076 | + | 0.890080i | 0.353585 | + | 0.296693i | ||||
\(10\) | −0.131053 | − | 2.23222i | −0.0414425 | − | 0.705891i | ||||
\(11\) | −0.539279 | + | 0.934058i | −0.162599 | + | 0.281629i | −0.935800 | − | 0.352532i | \(-0.885321\pi\) |
0.773201 | + | 0.634161i | \(0.218654\pi\) | |||||||
\(12\) | −0.434686 | − | 1.19429i | −0.125483 | − | 0.344762i | ||||
\(13\) | −4.50286 | + | 3.77835i | −1.24887 | + | 1.04793i | −0.252093 | + | 0.967703i | \(0.581119\pi\) |
−0.996777 | + | 0.0802232i | \(0.974437\pi\) | |||||||
\(14\) | 2.10725 | − | 1.21662i | 0.563186 | − | 0.325156i | ||||
\(15\) | 2.28034 | + | 1.69601i | 0.588782 | + | 0.437907i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −3.03001 | − | 2.54248i | −0.734884 | − | 0.616641i | 0.196574 | − | 0.980489i | \(-0.437018\pi\) |
−0.931458 | + | 0.363848i | \(0.881463\pi\) | |||||||
\(18\) | −1.30121 | − | 0.473602i | −0.306698 | − | 0.111629i | ||||
\(19\) | −0.238962 | + | 0.656543i | −0.0548216 | + | 0.150621i | −0.964081 | − | 0.265609i | \(-0.914427\pi\) |
0.909259 | + | 0.416231i | \(0.136649\pi\) | |||||||
\(20\) | 0.886615 | + | 2.05278i | 0.198253 | + | 0.459016i | ||||
\(21\) | −0.537006 | + | 3.04551i | −0.117184 | + | 0.664586i | ||||
\(22\) | 0.187290 | − | 1.06217i | 0.0399303 | − | 0.226456i | ||||
\(23\) | 4.52323 | + | 7.83447i | 0.943159 | + | 1.63360i | 0.759396 | + | 0.650629i | \(0.225495\pi\) |
0.183764 | + | 0.982970i | \(0.441172\pi\) | |||||||
\(24\) | 0.816943 | + | 0.973594i | 0.166758 | + | 0.198734i | ||||
\(25\) | −4.17999 | − | 2.74366i | −0.835998 | − | 0.548733i | ||||
\(26\) | 2.93904 | − | 5.09056i | 0.576392 | − | 0.998341i | ||||
\(27\) | 4.82610 | − | 2.78635i | 0.928784 | − | 0.536233i | ||||
\(28\) | −1.56406 | + | 1.86397i | −0.295579 | + | 0.352257i | ||||
\(29\) | 3.50388 | + | 2.02297i | 0.650654 | + | 0.375655i | 0.788707 | − | 0.614770i | \(-0.210751\pi\) |
−0.138053 | + | 0.990425i | \(0.544084\pi\) | |||||||
\(30\) | −2.72289 | − | 0.813802i | −0.497129 | − | 0.148579i | ||||
\(31\) | 3.83883i | 0.689475i | 0.938699 | + | 0.344738i | \(0.112032\pi\) | ||||
−0.938699 | + | 0.344738i | \(0.887968\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | 0.881119 | + | 1.05008i | 0.153383 | + | 0.182795i | ||||
\(34\) | 3.71685 | + | 1.35282i | 0.637435 | + | 0.232007i | ||||
\(35\) | 0.629139 | − | 5.40440i | 0.106344 | − | 0.913510i | ||||
\(36\) | 1.38472 | 0.230787 | ||||||||
\(37\) | −5.80362 | + | 1.82155i | −0.954109 | + | 0.299460i | ||||
\(38\) | − | 0.698678i | − | 0.113341i | ||||||
\(39\) | 2.55512 | + | 7.02012i | 0.409146 | + | 1.12412i | ||||
\(40\) | −1.53524 | − | 1.62574i | −0.242742 | − | 0.257053i | ||||
\(41\) | −4.58982 | + | 3.85131i | −0.716809 | + | 0.601474i | −0.926501 | − | 0.376293i | \(-0.877199\pi\) |
0.209691 | + | 0.977768i | \(0.432754\pi\) | |||||||
\(42\) | −0.537006 | − | 3.04551i | −0.0828619 | − | 0.469933i | ||||
\(43\) | 2.24316 | 0.342078 | 0.171039 | − | 0.985264i | \(-0.445288\pi\) | ||||
0.171039 | + | 0.985264i | \(0.445288\pi\) | |||||||
\(44\) | 0.187290 | + | 1.06217i | 0.0282350 | + | 0.160128i | ||||
\(45\) | −2.58615 | + | 1.70266i | −0.385521 | + | 0.253818i | ||||
\(46\) | −6.92999 | − | 5.81496i | −1.02177 | − | 0.857368i | ||||
\(47\) | 6.62640 | − | 3.82576i | 0.966560 | − | 0.558044i | 0.0683744 | − | 0.997660i | \(-0.478219\pi\) |
0.898186 | + | 0.439616i | \(0.144885\pi\) | |||||||
\(48\) | −1.10066 | − | 0.635469i | −0.158867 | − | 0.0917220i | ||||
\(49\) | −1.01425 | + | 0.369155i | −0.144892 | + | 0.0527365i | ||||
\(50\) | 4.86629 | + | 1.14856i | 0.688198 | + | 0.162431i | ||||
\(51\) | −4.35356 | + | 2.51353i | −0.609620 | + | 0.351964i | ||||
\(52\) | −1.02072 | + | 5.78877i | −0.141548 | + | 0.802758i | ||||
\(53\) | 7.71511 | + | 1.36038i | 1.05975 | + | 0.186863i | 0.676246 | − | 0.736676i | \(-0.263606\pi\) |
0.383506 | + | 0.923539i | \(0.374717\pi\) | |||||||
\(54\) | −3.58206 | + | 4.26894i | −0.487457 | + | 0.580929i | ||||
\(55\) | −1.65584 | − | 1.75346i | −0.223274 | − | 0.236436i | ||||
\(56\) | 0.832217 | − | 2.28650i | 0.111210 | − | 0.305546i | ||||
\(57\) | 0.680229 | + | 0.570780i | 0.0900985 | + | 0.0756016i | ||||
\(58\) | −3.98447 | − | 0.702569i | −0.523186 | − | 0.0922518i | ||||
\(59\) | −8.83478 | − | 1.55781i | −1.15019 | − | 0.202810i | −0.434132 | − | 0.900850i | \(-0.642945\pi\) |
−0.716059 | + | 0.698040i | \(0.754056\pi\) | |||||||
\(60\) | 2.83702 | − | 0.166560i | 0.366257 | − | 0.0215028i | ||||
\(61\) | −7.74469 | − | 9.22977i | −0.991606 | − | 1.18175i | −0.983338 | − | 0.181785i | \(-0.941813\pi\) |
−0.00826793 | − | 0.999966i | \(-0.502632\pi\) | |||||||
\(62\) | −1.31296 | − | 3.60732i | −0.166746 | − | 0.458131i | ||||
\(63\) | −2.91795 | − | 1.68468i | −0.367627 | − | 0.212249i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −5.21159 | − | 12.0664i | −0.646418 | − | 1.49665i | ||||
\(66\) | −1.18713 | − | 0.685389i | −0.146125 | − | 0.0843656i | ||||
\(67\) | −4.03216 | + | 0.710979i | −0.492607 | + | 0.0868599i | −0.414433 | − | 0.910080i | \(-0.636020\pi\) |
−0.0781740 | + | 0.996940i | \(0.524909\pi\) | |||||||
\(68\) | −3.95539 | −0.479662 | ||||||||
\(69\) | 11.3228 | − | 1.99652i | 1.36311 | − | 0.240352i | ||||
\(70\) | 1.25722 | + | 5.29365i | 0.150266 | + | 0.632712i | ||||
\(71\) | 10.0976 | + | 3.67522i | 1.19836 | + | 0.436169i | 0.862653 | − | 0.505796i | \(-0.168801\pi\) |
0.335711 | + | 0.941965i | \(0.391023\pi\) | |||||||
\(72\) | −1.30121 | + | 0.473602i | −0.153349 | + | 0.0558145i | ||||
\(73\) | − | 0.0962140i | − | 0.0112610i | −0.999984 | − | 0.00563050i | \(-0.998208\pi\) | ||
0.999984 | − | 0.00563050i | \(-0.00179225\pi\) | |||||||
\(74\) | 4.83061 | − | 3.69665i | 0.561547 | − | 0.429726i | ||||
\(75\) | −5.09371 | + | 3.79949i | −0.588171 | + | 0.438727i | ||||
\(76\) | 0.238962 | + | 0.656543i | 0.0274108 | + | 0.0753106i | ||||
\(77\) | 0.897594 | − | 2.46612i | 0.102290 | − | 0.281040i | ||||
\(78\) | −4.80205 | − | 5.72286i | −0.543725 | − | 0.647986i | ||||
\(79\) | −0.293157 | + | 0.0516914i | −0.0329827 | + | 0.00581574i | −0.190115 | − | 0.981762i | \(-0.560886\pi\) |
0.157132 | + | 0.987578i | \(0.449775\pi\) | |||||||
\(80\) | 1.99869 | + | 1.00262i | 0.223460 | + | 0.112096i | ||||
\(81\) | −0.508511 | − | 2.88391i | −0.0565012 | − | 0.320434i | ||||
\(82\) | 2.99579 | − | 5.18886i | 0.330830 | − | 0.573014i | ||||
\(83\) | 9.17763 | − | 10.9375i | 1.00738 | − | 1.20054i | 0.0277696 | − | 0.999614i | \(-0.491160\pi\) |
0.979606 | − | 0.200929i | \(-0.0643960\pi\) | |||||||
\(84\) | 1.54625 | + | 2.67818i | 0.168709 | + | 0.292213i | ||||
\(85\) | 7.38723 | − | 4.86358i | 0.801258 | − | 0.527529i | ||||
\(86\) | −2.10788 | + | 0.767204i | −0.227298 | + | 0.0827298i | ||||
\(87\) | 3.93910 | − | 3.30529i | 0.422315 | − | 0.354365i | ||||
\(88\) | −0.539279 | − | 0.934058i | −0.0574873 | − | 0.0995709i | ||||
\(89\) | 12.0788 | + | 2.12982i | 1.28035 | + | 0.225761i | 0.772130 | − | 0.635465i | \(-0.219192\pi\) |
0.508223 | + | 0.861226i | \(0.330303\pi\) | |||||||
\(90\) | 1.84784 | − | 2.48449i | 0.194780 | − | 0.261889i | ||||
\(91\) | 9.19364 | − | 10.9566i | 0.963755 | − | 1.14856i | ||||
\(92\) | 8.50090 | + | 3.09407i | 0.886280 | + | 0.322579i | ||||
\(93\) | 4.58468 | + | 1.66869i | 0.475409 | + | 0.173035i | ||||
\(94\) | −4.91830 | + | 5.86140i | −0.507284 | + | 0.604557i | ||||
\(95\) | −1.25358 | − | 0.932354i | −0.128615 | − | 0.0956575i | ||||
\(96\) | 1.25163 | + | 0.220696i | 0.127744 | + | 0.0225247i | ||||
\(97\) | 2.60024 | + | 4.50374i | 0.264014 | + | 0.457286i | 0.967305 | − | 0.253616i | \(-0.0816201\pi\) |
−0.703291 | + | 0.710902i | \(0.748287\pi\) | |||||||
\(98\) | 0.826821 | − | 0.693785i | 0.0835215 | − | 0.0700829i | ||||
\(99\) | −1.40343 | + | 0.510807i | −0.141050 | + | 0.0513380i | ||||
\(100\) | −4.96565 | + | 0.585078i | −0.496565 | + | 0.0585078i | ||||
\(101\) | −8.57976 | − | 14.8606i | −0.853718 | − | 1.47868i | −0.877829 | − | 0.478973i | \(-0.841009\pi\) |
0.0241116 | − | 0.999709i | \(-0.492324\pi\) | |||||||
\(102\) | 3.23133 | − | 3.85095i | 0.319949 | − | 0.381300i | ||||
\(103\) | 6.45081 | − | 11.1731i | 0.635618 | − | 1.10092i | −0.350766 | − | 0.936463i | \(-0.614079\pi\) |
0.986384 | − | 0.164459i | \(-0.0525878\pi\) | |||||||
\(104\) | −1.02072 | − | 5.78877i | −0.100089 | − | 0.567636i | ||||
\(105\) | −6.18094 | − | 3.10059i | −0.603198 | − | 0.302587i | ||||
\(106\) | −7.71511 | + | 1.36038i | −0.749358 | + | 0.132132i | ||||
\(107\) | −0.771918 | − | 0.919936i | −0.0746241 | − | 0.0889336i | 0.727441 | − | 0.686171i | \(-0.240710\pi\) |
−0.802065 | + | 0.597237i | \(0.796265\pi\) | |||||||
\(108\) | 1.90598 | − | 5.23663i | 0.183403 | − | 0.503895i | ||||
\(109\) | 4.13045 | + | 11.3483i | 0.395625 | + | 1.08697i | 0.964393 | + | 0.264473i | \(0.0851979\pi\) |
−0.568768 | + | 0.822498i | \(0.692580\pi\) | |||||||
\(110\) | 2.15570 | + | 1.08138i | 0.205538 | + | 0.103106i | ||||
\(111\) | −0.347298 | + | 7.72300i | −0.0329641 | + | 0.733035i | ||||
\(112\) | 2.43324i | 0.229920i | ||||||||
\(113\) | −1.55367 | + | 0.565491i | −0.146157 | + | 0.0531970i | −0.414063 | − | 0.910248i | \(-0.635891\pi\) |
0.267906 | + | 0.963445i | \(0.413668\pi\) | |||||||
\(114\) | −0.834424 | − | 0.303706i | −0.0781510 | − | 0.0284446i | ||||
\(115\) | −19.6811 | + | 4.67416i | −1.83527 | + | 0.435867i | ||||
\(116\) | 3.98447 | − | 0.702569i | 0.369948 | − | 0.0652319i | ||||
\(117\) | −8.13948 | −0.752495 | ||||||||
\(118\) | 8.83478 | − | 1.55781i | 0.813307 | − | 0.143408i | ||||
\(119\) | 8.33499 | + | 4.81221i | 0.764067 | + | 0.441135i | ||||
\(120\) | −2.60896 | + | 1.12683i | −0.238164 | + | 0.102865i | ||||
\(121\) | 4.91836 | + | 8.51884i | 0.447123 | + | 0.774440i | ||||
\(122\) | 10.4344 | + | 6.02430i | 0.944686 | + | 0.545415i | ||||
\(123\) | 2.60446 | + | 7.15569i | 0.234836 | + | 0.645207i | ||||
\(124\) | 2.46756 | + | 2.94072i | 0.221593 | + | 0.264084i | ||||
\(125\) | 8.55461 | − | 7.19851i | 0.765148 | − | 0.643854i | ||||
\(126\) | 3.31817 | + | 0.585082i | 0.295606 | + | 0.0521233i | ||||
\(127\) | −4.26508 | − | 0.752049i | −0.378465 | − | 0.0667336i | −0.0188202 | − | 0.999823i | \(-0.505991\pi\) |
−0.359645 | + | 0.933089i | \(0.617102\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | 0.975068 | − | 2.67898i | 0.0858500 | − | 0.235871i | ||||
\(130\) | 9.02424 | + | 9.55624i | 0.791478 | + | 0.838138i | ||||
\(131\) | −3.04658 | + | 3.63077i | −0.266181 | + | 0.317222i | −0.882535 | − | 0.470247i | \(-0.844165\pi\) |
0.616354 | + | 0.787469i | \(0.288609\pi\) | |||||||
\(132\) | 1.34995 | + | 0.238033i | 0.117498 | + | 0.0207181i | ||||
\(133\) | 0.295211 | − | 1.67422i | 0.0255980 | − | 0.145174i | ||||
\(134\) | 3.54582 | − | 2.04718i | 0.306312 | − | 0.176850i | ||||
\(135\) | 2.87932 | + | 12.1237i | 0.247813 | + | 1.04344i | ||||
\(136\) | 3.71685 | − | 1.35282i | 0.318717 | − | 0.116004i | ||||
\(137\) | −18.1348 | − | 10.4701i | −1.54936 | − | 0.894522i | −0.998191 | − | 0.0601265i | \(-0.980850\pi\) |
−0.551166 | − | 0.834395i | \(-0.685817\pi\) | |||||||
\(138\) | −9.95712 | + | 5.74874i | −0.847606 | + | 0.489366i | ||||
\(139\) | 5.79033 | + | 4.85866i | 0.491129 | + | 0.412107i | 0.854431 | − | 0.519565i | \(-0.173906\pi\) |
−0.363301 | + | 0.931672i | \(0.618350\pi\) | |||||||
\(140\) | −2.99193 | − | 4.54441i | −0.252864 | − | 0.384073i | ||||
\(141\) | −1.68866 | − | 9.57685i | −0.142211 | − | 0.806516i | ||||
\(142\) | −10.7456 | −0.901754 | ||||||||
\(143\) | −1.10090 | − | 6.24352i | −0.0920620 | − | 0.522110i | ||||
\(144\) | 1.06076 | − | 0.890080i | 0.0883964 | − | 0.0741734i | ||||
\(145\) | −6.57765 | + | 6.21147i | −0.546244 | + | 0.515835i | ||||
\(146\) | 0.0329071 | + | 0.0904115i | 0.00272341 | + | 0.00748251i | ||||
\(147\) | 1.37177i | 0.113142i | ||||||||
\(148\) | −3.27496 | + | 5.12588i | −0.269200 | + | 0.421345i | ||||
\(149\) | −6.24076 | −0.511263 | −0.255632 | − | 0.966774i | \(-0.582283\pi\) | ||||
−0.255632 | + | 0.966774i | \(0.582283\pi\) | |||||||
\(150\) | 3.48702 | − | 5.31250i | 0.284714 | − | 0.433764i | ||||
\(151\) | −4.73108 | − | 1.72197i | −0.385010 | − | 0.140132i | 0.142262 | − | 0.989829i | \(-0.454563\pi\) |
−0.527271 | + | 0.849697i | \(0.676785\pi\) | |||||||
\(152\) | −0.449102 | − | 0.535218i | −0.0364270 | − | 0.0434120i | ||||
\(153\) | −0.951089 | − | 5.39390i | −0.0768910 | − | 0.436071i | ||||
\(154\) | 2.62439i | 0.211479i | ||||||||
\(155\) | −8.22442 | − | 2.45807i | −0.660602 | − | 0.197437i | ||||
\(156\) | 6.46978 | + | 3.73533i | 0.517997 | + | 0.299066i | ||||
\(157\) | −2.62863 | + | 3.13268i | −0.209787 | + | 0.250015i | −0.860670 | − | 0.509164i | \(-0.829955\pi\) |
0.650882 | + | 0.759179i | \(0.274399\pi\) | |||||||
\(158\) | 0.257798 | − | 0.148840i | 0.0205093 | − | 0.0118410i | ||||
\(159\) | 4.97834 | − | 8.62274i | 0.394808 | − | 0.683828i | ||||
\(160\) | −2.22107 | − | 0.258560i | −0.175591 | − | 0.0204410i | ||||
\(161\) | −14.1492 | − | 16.8623i | −1.11511 | − | 1.32894i | ||||
\(162\) | 1.46420 | + | 2.53607i | 0.115038 | + | 0.199252i | ||||
\(163\) | −3.46859 | + | 19.6714i | −0.271681 | + | 1.54078i | 0.477629 | + | 0.878562i | \(0.341496\pi\) |
−0.749310 | + | 0.662219i | \(0.769615\pi\) | |||||||
\(164\) | −1.04043 | + | 5.90056i | −0.0812437 | + | 0.460756i | ||||
\(165\) | −2.81391 | + | 1.21535i | −0.219063 | + | 0.0946151i | ||||
\(166\) | −4.88331 | + | 13.4168i | −0.379019 | + | 1.04135i | ||||
\(167\) | 8.48472 | + | 3.08819i | 0.656568 | + | 0.238971i | 0.648754 | − | 0.760998i | \(-0.275291\pi\) |
0.00781383 | + | 0.999969i | \(0.497513\pi\) | |||||||
\(168\) | −2.36899 | − | 1.98782i | −0.182772 | − | 0.153364i | ||||
\(169\) | 3.74242 | − | 21.2243i | 0.287878 | − | 1.63264i | ||||
\(170\) | −5.27829 | + | 7.09685i | −0.404826 | + | 0.544304i | ||||
\(171\) | −0.837856 | + | 0.483736i | −0.0640725 | + | 0.0369923i | ||||
\(172\) | 1.71836 | − | 1.44187i | 0.131023 | − | 0.109942i | ||||
\(173\) | 3.12335 | + | 8.58134i | 0.237464 | + | 0.652427i | 0.999985 | + | 0.00546385i | \(0.00173921\pi\) |
−0.762521 | + | 0.646964i | \(0.776039\pi\) | |||||||
\(174\) | −2.57106 | + | 4.45321i | −0.194912 | + | 0.337597i | ||||
\(175\) | 11.1757 | + | 4.80841i | 0.844802 | + | 0.363481i | ||||
\(176\) | 0.826223 | + | 0.693283i | 0.0622789 | + | 0.0522582i | ||||
\(177\) | −5.70083 | + | 9.87413i | −0.428501 | + | 0.742185i | ||||
\(178\) | −12.0788 | + | 2.12982i | −0.905346 | + | 0.159637i | ||||
\(179\) | 12.3400i | 0.922337i | 0.887313 | + | 0.461168i | \(0.152570\pi\) | ||||
−0.887313 | + | 0.461168i | \(0.847430\pi\) | |||||||
\(180\) | −0.886658 | + | 2.96666i | −0.0660876 | + | 0.221122i | ||||
\(181\) | −2.90277 | + | 2.43572i | −0.215761 | + | 0.181045i | −0.744262 | − | 0.667887i | \(-0.767199\pi\) |
0.528501 | + | 0.848933i | \(0.322754\pi\) | |||||||
\(182\) | −4.89183 | + | 13.4402i | −0.362607 | + | 0.996254i | ||||
\(183\) | −14.3895 | + | 5.23736i | −1.06370 | + | 0.387157i | ||||
\(184\) | −9.04647 | −0.666914 | ||||||||
\(185\) | −0.186377 | − | 13.6002i | −0.0137027 | − | 0.999906i | ||||
\(186\) | −4.87892 | −0.357740 | ||||||||
\(187\) | 4.00884 | − | 1.45910i | 0.293155 | − | 0.106700i | ||||
\(188\) | 2.61697 | − | 7.19007i | 0.190862 | − | 0.524390i | ||||
\(189\) | −10.3874 | + | 8.71602i | −0.755569 | + | 0.633997i | ||||
\(190\) | 1.49687 | + | 0.447375i | 0.108594 | + | 0.0324560i | ||||
\(191\) | 23.6507i | 1.71131i | 0.517550 | + | 0.855653i | \(0.326844\pi\) | ||||
−0.517550 | + | 0.855653i | \(0.673156\pi\) | |||||||
\(192\) | −1.25163 | + | 0.220696i | −0.0903285 | + | 0.0159274i | ||||
\(193\) | 6.57365 | − | 11.3859i | 0.473182 | − | 0.819575i | −0.526347 | − | 0.850270i | \(-0.676439\pi\) |
0.999529 | + | 0.0306947i | \(0.00977196\pi\) | |||||||
\(194\) | −3.98379 | − | 3.34280i | −0.286020 | − | 0.239999i | ||||
\(195\) | −16.6762 | + | 0.979050i | −1.19421 | + | 0.0701112i | ||||
\(196\) | −0.539669 | + | 0.934734i | −0.0385478 | + | 0.0667667i | ||||
\(197\) | 9.19070 | + | 25.2513i | 0.654811 | + | 1.79908i | 0.599164 | + | 0.800627i | \(0.295500\pi\) |
0.0556470 | + | 0.998451i | \(0.482278\pi\) | |||||||
\(198\) | 1.14409 | − | 0.960003i | 0.0813067 | − | 0.0682244i | ||||
\(199\) | 8.84155 | − | 5.10467i | 0.626761 | − | 0.361860i | −0.152736 | − | 0.988267i | \(-0.548808\pi\) |
0.779496 | + | 0.626407i | \(0.215475\pi\) | |||||||
\(200\) | 4.46608 | − | 2.24815i | 0.315799 | − | 0.158968i | ||||
\(201\) | −0.903609 | + | 5.12462i | −0.0637357 | + | 0.361463i | ||||
\(202\) | 13.1450 | + | 11.0299i | 0.924876 | + | 0.776063i | ||||
\(203\) | −9.25102 | − | 3.36710i | −0.649294 | − | 0.236324i | ||||
\(204\) | −1.71935 | + | 4.72388i | −0.120379 | + | 0.330738i | ||||
\(205\) | −5.31223 | − | 12.2994i | −0.371022 | − | 0.859028i | ||||
\(206\) | −2.24034 | + | 12.7056i | −0.156092 | + | 0.885243i | ||||
\(207\) | −2.17526 | + | 12.3365i | −0.151191 | + | 0.857446i | ||||
\(208\) | 2.93904 | + | 5.09056i | 0.203785 | + | 0.352967i | ||||
\(209\) | −0.484382 | − | 0.577264i | −0.0335054 | − | 0.0399302i | ||||
\(210\) | 6.86865 | + | 0.799596i | 0.473982 | + | 0.0551773i | ||||
\(211\) | 13.0360 | − | 22.5790i | 0.897435 | − | 1.55440i | 0.0666737 | − | 0.997775i | \(-0.478761\pi\) |
0.830762 | − | 0.556629i | \(-0.187905\pi\) | |||||||
\(212\) | 6.78455 | − | 3.91706i | 0.465965 | − | 0.269025i | ||||
\(213\) | 8.77857 | − | 10.4619i | 0.601497 | − | 0.716837i | ||||
\(214\) | 1.04000 | + | 0.600446i | 0.0710931 | + | 0.0410456i | ||||
\(215\) | −1.43633 | + | 4.80580i | −0.0979569 | + | 0.327753i | ||||
\(216\) | 5.57270i | 0.379174i | ||||||||
\(217\) | −1.62201 | − | 9.19890i | −0.110110 | − | 0.624462i | ||||
\(218\) | −7.76270 | − | 9.25122i | −0.525756 | − | 0.626572i | ||||
\(219\) | −0.114907 | − | 0.0418229i | −0.00776472 | − | 0.00282613i | ||||
\(220\) | −2.39555 | − | 0.278872i | −0.161508 | − | 0.0188015i | ||||
\(221\) | 23.2501 | 1.56397 | ||||||||
\(222\) | −2.31507 | − | 7.37603i | −0.155377 | − | 0.495047i | ||||
\(223\) | − | 1.64685i | − | 0.110282i | −0.998479 | − | 0.0551408i | \(-0.982439\pi\) | ||
0.998479 | − | 0.0551408i | \(-0.0175608\pi\) | |||||||
\(224\) | −0.832217 | − | 2.28650i | −0.0556049 | − | 0.152773i | ||||
\(225\) | −1.99187 | − | 6.63088i | −0.132791 | − | 0.442059i | ||||
\(226\) | 1.26657 | − | 1.06278i | 0.0842508 | − | 0.0706948i | ||||
\(227\) | 3.25682 | + | 18.4704i | 0.216163 | + | 1.22592i | 0.878877 | + | 0.477048i | \(0.158293\pi\) |
−0.662714 | + | 0.748873i | \(0.730596\pi\) | |||||||
\(228\) | 0.887976 | 0.0588076 | ||||||||
\(229\) | 1.58566 | + | 8.99274i | 0.104784 | + | 0.594257i | 0.991307 | + | 0.131572i | \(0.0420026\pi\) |
−0.886523 | + | 0.462684i | \(0.846886\pi\) | |||||||
\(230\) | 16.8955 | − | 11.1236i | 1.11406 | − | 0.733468i | ||||
\(231\) | −2.55509 | − | 2.14398i | −0.168113 | − | 0.141063i | ||||
\(232\) | −3.50388 | + | 2.02297i | −0.230041 | + | 0.132814i | ||||
\(233\) | 6.71498 | + | 3.87690i | 0.439913 | + | 0.253984i | 0.703561 | − | 0.710635i | \(-0.251592\pi\) |
−0.263648 | + | 0.964619i | \(0.584926\pi\) | |||||||
\(234\) | 7.64861 | − | 2.78387i | 0.500005 | − | 0.181987i | ||||
\(235\) | 3.95341 | + | 16.6463i | 0.257892 | + | 1.08588i | ||||
\(236\) | −7.76917 | + | 4.48554i | −0.505730 | + | 0.291983i | ||||
\(237\) | −0.0656965 | + | 0.372584i | −0.00426745 | + | 0.0242019i | ||||
\(238\) | −9.47820 | − | 1.67126i | −0.614381 | − | 0.108332i | ||||
\(239\) | −1.16301 | + | 1.38602i | −0.0752288 | + | 0.0896542i | −0.802346 | − | 0.596859i | \(-0.796415\pi\) |
0.727117 | + | 0.686513i | \(0.240860\pi\) | |||||||
\(240\) | 2.06622 | − | 1.95119i | 0.133374 | − | 0.125949i | ||||
\(241\) | −1.67662 | + | 4.60646i | −0.108000 | + | 0.296728i | −0.981907 | − | 0.189366i | \(-0.939357\pi\) |
0.873906 | + | 0.486094i | \(0.161579\pi\) | |||||||
\(242\) | −7.53536 | − | 6.32292i | −0.484391 | − | 0.406453i | ||||
\(243\) | 12.7989 | + | 2.25678i | 0.821047 | + | 0.144773i | ||||
\(244\) | −11.8656 | − | 2.09222i | −0.759615 | − | 0.133941i | ||||
\(245\) | −0.141450 | − | 2.40932i | −0.00903692 | − | 0.153926i | ||||
\(246\) | −4.89478 | − | 5.83337i | −0.312080 | − | 0.371922i | ||||
\(247\) | −1.40464 | − | 3.85920i | −0.0893748 | − | 0.245555i | ||||
\(248\) | −3.32453 | − | 1.91942i | −0.211108 | − | 0.121883i | ||||
\(249\) | −9.07313 | − | 15.7151i | −0.574986 | − | 0.995905i | ||||
\(250\) | −5.57667 | + | 9.69024i | −0.352700 | + | 0.612865i | ||||
\(251\) | 9.87930 | + | 5.70382i | 0.623576 | + | 0.360022i | 0.778260 | − | 0.627942i | \(-0.216103\pi\) |
−0.154684 | + | 0.987964i | \(0.549436\pi\) | |||||||
\(252\) | −3.31817 | + | 0.585082i | −0.209025 | + | 0.0368567i | ||||
\(253\) | −9.75713 | −0.613426 | ||||||||
\(254\) | 4.26508 | − | 0.752049i | 0.267615 | − | 0.0471878i | ||||
\(255\) | −2.59739 | − | 10.9366i | −0.162655 | − | 0.684878i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 17.5936 | − | 6.40353i | 1.09746 | − | 0.399441i | 0.271078 | − | 0.962557i | \(-0.412620\pi\) |
0.826378 | + | 0.563116i | \(0.190398\pi\) | |||||||
\(258\) | 2.85091i | 0.177490i | ||||||||
\(259\) | 13.1374 | − | 6.81711i | 0.816319 | − | 0.423595i | ||||
\(260\) | −11.7484 | − | 5.89346i | −0.728607 | − | 0.365497i | ||||
\(261\) | 1.91616 | + | 5.26461i | 0.118607 | + | 0.325871i | ||||
\(262\) | 1.62105 | − | 4.45380i | 0.100149 | − | 0.275157i | ||||
\(263\) | 14.0217 | + | 16.7104i | 0.864616 | + | 1.03041i | 0.999219 | + | 0.0395099i | \(0.0125797\pi\) |
−0.134603 | + | 0.990900i | \(0.542976\pi\) | |||||||
\(264\) | −1.34995 | + | 0.238033i | −0.0830839 | + | 0.0146499i | ||||
\(265\) | −7.85463 | + | 15.6580i | −0.482506 | + | 0.961862i | ||||
\(266\) | 0.295211 | + | 1.67422i | 0.0181005 | + | 0.102653i | ||||
\(267\) | 7.79412 | − | 13.4998i | 0.476992 | − | 0.826175i | ||||
\(268\) | −2.63181 | + | 3.13646i | −0.160763 | + | 0.191590i | ||||
\(269\) | −6.13693 | − | 10.6295i | −0.374175 | − | 0.648090i | 0.616028 | − | 0.787724i | \(-0.288741\pi\) |
−0.990203 | + | 0.139634i | \(0.955407\pi\) | |||||||
\(270\) | −6.85223 | − | 10.4078i | −0.417014 | − | 0.633397i | ||||
\(271\) | −4.11051 | + | 1.49610i | −0.249695 | + | 0.0908817i | −0.463836 | − | 0.885921i | \(-0.653527\pi\) |
0.214140 | + | 0.976803i | \(0.431305\pi\) | |||||||
\(272\) | −3.03001 | + | 2.54248i | −0.183721 | + | 0.154160i | ||||
\(273\) | −9.08896 | − | 15.7425i | −0.550089 | − | 0.952782i | ||||
\(274\) | 20.6221 | + | 3.63623i | 1.24583 | + | 0.219673i | ||||
\(275\) | 4.81692 | − | 2.42475i | 0.290471 | − | 0.146218i | ||||
\(276\) | 7.39044 | − | 8.80759i | 0.444852 | − | 0.530154i | ||||
\(277\) | −20.3075 | − | 7.39133i | −1.22016 | − | 0.444102i | −0.349943 | − | 0.936771i | \(-0.613799\pi\) |
−0.870217 | + | 0.492669i | \(0.836021\pi\) | |||||||
\(278\) | −7.10289 | − | 2.58524i | −0.426003 | − | 0.155052i | ||||
\(279\) | −3.41687 | + | 4.07207i | −0.204563 | + | 0.243788i | ||||
\(280\) | 4.36577 | + | 3.24705i | 0.260905 | + | 0.194048i | ||||
\(281\) | 19.2899 | + | 3.40133i | 1.15074 | + | 0.202906i | 0.716298 | − | 0.697794i | \(-0.245835\pi\) |
0.434440 | + | 0.900701i | \(0.356946\pi\) | |||||||
\(282\) | 4.86229 | + | 8.42174i | 0.289545 | + | 0.501507i | ||||
\(283\) | 2.71956 | − | 2.28199i | 0.161661 | − | 0.135650i | −0.558369 | − | 0.829593i | \(-0.688572\pi\) |
0.720030 | + | 0.693943i | \(0.244128\pi\) | |||||||
\(284\) | 10.0976 | − | 3.67522i | 0.599182 | − | 0.218084i | ||||
\(285\) | −1.65842 | + | 1.09186i | −0.0982361 | + | 0.0646763i | ||||
\(286\) | 3.16992 | + | 5.49046i | 0.187441 | + | 0.324658i | ||||
\(287\) | 9.37118 | − | 11.1681i | 0.553163 | − | 0.659234i | ||||
\(288\) | −0.692360 | + | 1.19920i | −0.0407977 | + | 0.0706637i | ||||
\(289\) | −0.235273 | − | 1.33430i | −0.0138396 | − | 0.0784882i | ||||
\(290\) | 4.05652 | − | 8.08656i | 0.238207 | − | 0.474859i | ||||
\(291\) | 6.50906 | − | 1.14772i | 0.381568 | − | 0.0672807i | ||||
\(292\) | −0.0618451 | − | 0.0737042i | −0.00361921 | − | 0.00431321i | ||||
\(293\) | −6.51994 | + | 17.9134i | −0.380899 | + | 1.04651i | 0.590080 | + | 0.807345i | \(0.299096\pi\) |
−0.970979 | + | 0.239166i | \(0.923126\pi\) | |||||||
\(294\) | −0.469173 | − | 1.28904i | −0.0273627 | − | 0.0751785i | ||||
\(295\) | 8.99455 | − | 17.9304i | 0.523683 | − | 1.04395i | ||||
\(296\) | 1.32430 | − | 5.93685i | 0.0769736 | − | 0.345073i | ||||
\(297\) | 6.01048i | 0.348763i | ||||||||
\(298\) | 5.86440 | − | 2.13447i | 0.339715 | − | 0.123646i | ||||
\(299\) | −49.9689 | − | 18.1872i | −2.88977 | − | 1.05179i | ||||
\(300\) | −1.45975 | + | 6.18475i | −0.0842785 | + | 0.357077i | ||||
\(301\) | −5.37522 | + | 0.947796i | −0.309822 | + | 0.0546300i | ||||
\(302\) | 5.03471 | 0.289715 | ||||||||
\(303\) | −21.4773 | + | 3.78703i | −1.23384 | + | 0.217559i | ||||
\(304\) | 0.605073 | + | 0.349339i | 0.0347033 | + | 0.0200360i | ||||
\(305\) | 24.7332 | − | 10.6825i | 1.41622 | − | 0.611677i | ||||
\(306\) | 2.73855 | + | 4.74331i | 0.156553 | + | 0.271157i | ||||
\(307\) | 1.85530 | + | 1.07116i | 0.105888 | + | 0.0611342i | 0.552009 | − | 0.833838i | \(-0.313862\pi\) |
−0.446121 | + | 0.894973i | \(0.647195\pi\) | |||||||
\(308\) | −0.897594 | − | 2.46612i | −0.0511452 | − | 0.140520i | ||||
\(309\) | −10.5399 | − | 12.5610i | −0.599593 | − | 0.714568i | ||||
\(310\) | 8.56914 | − | 0.503090i | 0.486694 | − | 0.0285736i | ||||
\(311\) | 0.577196 | + | 0.101775i | 0.0327298 | + | 0.00577114i | 0.189989 | − | 0.981786i | \(-0.439155\pi\) |
−0.157259 | + | 0.987557i | \(0.550266\pi\) | |||||||
\(312\) | −7.35716 | − | 1.29727i | −0.416517 | − | 0.0734432i | ||||
\(313\) | 16.0499 | + | 13.4675i | 0.907193 | + | 0.761226i | 0.971583 | − | 0.236699i | \(-0.0760656\pi\) |
−0.0643896 | + | 0.997925i | \(0.520510\pi\) | |||||||
\(314\) | 1.39866 | − | 3.84280i | 0.0789312 | − | 0.216862i | ||||
\(315\) | 5.47771 | − | 5.17276i | 0.308634 | − | 0.291452i | ||||
\(316\) | −0.191344 | + | 0.228035i | −0.0107640 | + | 0.0128280i | ||||
\(317\) | −10.6354 | − | 1.87531i | −0.597345 | − | 0.105328i | −0.133203 | − | 0.991089i | \(-0.542526\pi\) |
−0.464142 | + | 0.885761i | \(0.653637\pi\) | |||||||
\(318\) | −1.72896 | + | 9.80542i | −0.0969552 | + | 0.549860i | ||||
\(319\) | −3.77914 | + | 2.18189i | −0.211591 | + | 0.122162i | ||||
\(320\) | 2.17555 | − | 0.516683i | 0.121617 | − | 0.0288835i | ||||
\(321\) | −1.43421 | + | 0.522011i | −0.0800499 | + | 0.0291358i | ||||
\(322\) | 19.0632 | + | 11.0061i | 1.06235 | + | 0.613347i | ||||
\(323\) | 2.39330 | − | 1.38177i | 0.133167 | − | 0.0768839i | ||||
\(324\) | −2.24328 | − | 1.88234i | −0.124627 | − | 0.104574i | ||||
\(325\) | 29.1884 | − | 3.43913i | 1.61908 | − | 0.190769i | ||||
\(326\) | −3.46859 | − | 19.6714i | −0.192108 | − | 1.08950i | ||||
\(327\) | 15.3486 | 0.848781 | ||||||||
\(328\) | −1.04043 | − | 5.90056i | −0.0574480 | − | 0.325804i | ||||
\(329\) | −14.2622 | + | 11.9674i | −0.786300 | + | 0.659784i | ||||
\(330\) | 2.22854 | − | 2.10447i | 0.122677 | − | 0.115847i | ||||
\(331\) | −7.94257 | − | 21.8220i | −0.436563 | − | 1.19945i | −0.941713 | − | 0.336416i | \(-0.890785\pi\) |
0.505150 | − | 0.863031i | \(-0.331437\pi\) | |||||||
\(332\) | − | 14.2779i | − | 0.783599i | ||||||
\(333\) | −7.77755 | − | 3.23347i | −0.426207 | − | 0.177193i | ||||
\(334\) | −9.02925 | −0.494059 | ||||||||
\(335\) | 1.05864 | − | 9.09386i | 0.0578396 | − | 0.496851i | ||||
\(336\) | 2.90600 | + | 1.05770i | 0.158535 | + | 0.0577020i | ||||
\(337\) | 4.16895 | + | 4.96836i | 0.227097 | + | 0.270644i | 0.867546 | − | 0.497357i | \(-0.165696\pi\) |
−0.640449 | + | 0.768001i | \(0.721252\pi\) | |||||||
\(338\) | 3.74242 | + | 21.2243i | 0.203561 | + | 1.15445i | ||||
\(339\) | 2.10135i | 0.114130i | ||||||||
\(340\) | 2.53270 | − | 8.47414i | 0.137355 | − | 0.459575i | ||||
\(341\) | −3.58569 | − | 2.07020i | −0.194176 | − | 0.112108i | ||||
\(342\) | 0.621880 | − | 0.741127i | 0.0336274 | − | 0.0400756i | ||||
\(343\) | 17.0252 | − | 9.82949i | 0.919273 | − | 0.530742i | ||||
\(344\) | −1.12158 | + | 1.94263i | −0.0604714 | + | 0.104740i | ||||
\(345\) | −2.97279 | + | 25.5367i | −0.160050 | + | 1.37485i | ||||
\(346\) | −5.86998 | − | 6.99557i | −0.315572 | − | 0.376084i | ||||
\(347\) | −12.4617 | − | 21.5843i | −0.668979 | − | 1.15871i | −0.978190 | − | 0.207713i | \(-0.933398\pi\) |
0.309210 | − | 0.950994i | \(-0.399935\pi\) | |||||||
\(348\) | 0.892921 | − | 5.06400i | 0.0478656 | − | 0.271459i | ||||
\(349\) | −5.21759 | + | 29.5904i | −0.279291 | + | 1.58394i | 0.445700 | + | 0.895182i | \(0.352955\pi\) |
−0.724992 | + | 0.688758i | \(0.758156\pi\) | |||||||
\(350\) | −12.1463 | − | 0.696118i | −0.649246 | − | 0.0372091i | ||||
\(351\) | −11.2035 | + | 30.7813i | −0.597997 | + | 1.64298i | ||||
\(352\) | −1.01351 | − | 0.368888i | −0.0540204 | − | 0.0196618i | ||||
\(353\) | 19.6999 | + | 16.5302i | 1.04852 | + | 0.879812i | 0.992937 | − | 0.118642i | \(-0.0378540\pi\) |
0.0555825 | + | 0.998454i | \(0.482298\pi\) | |||||||
\(354\) | 1.97988 | − | 11.2284i | 0.105229 | − | 0.596785i | ||||
\(355\) | −14.3396 | + | 19.2801i | −0.761065 | + | 1.02328i | ||||
\(356\) | 10.6219 | − | 6.13258i | 0.562962 | − | 0.325026i | ||||
\(357\) | 9.37028 | − | 7.86260i | 0.495928 | − | 0.416133i | ||||
\(358\) | −4.22054 | − | 11.5958i | −0.223062 | − | 0.612859i | ||||
\(359\) | −4.65048 | + | 8.05487i | −0.245443 | + | 0.425120i | −0.962256 | − | 0.272146i | \(-0.912267\pi\) |
0.716813 | + | 0.697265i | \(0.245600\pi\) | |||||||
\(360\) | −0.181471 | − | 3.09100i | −0.00956437 | − | 0.162910i | ||||
\(361\) | 14.1809 | + | 11.8992i | 0.746363 | + | 0.626273i | ||||
\(362\) | 1.89465 | − | 3.28163i | 0.0995806 | − | 0.172479i | ||||
\(363\) | 12.3119 | − | 2.17092i | 0.646208 | − | 0.113944i | ||||
\(364\) | − | 14.3028i | − | 0.749669i | ||||||
\(365\) | 0.206131 | + | 0.0616074i | 0.0107894 | + | 0.00322468i | ||||
\(366\) | 11.7305 | − | 9.84302i | 0.613160 | − | 0.514503i | ||||
\(367\) | 8.25956 | − | 22.6929i | 0.431145 | − | 1.18456i | −0.513965 | − | 0.857811i | \(-0.671824\pi\) |
0.945110 | − | 0.326751i | \(-0.105954\pi\) | |||||||
\(368\) | 8.50090 | − | 3.09407i | 0.443140 | − | 0.161290i | ||||
\(369\) | −8.29666 | −0.431907 | ||||||||
\(370\) | 4.82668 | + | 12.7163i | 0.250927 | + | 0.661087i | ||||
\(371\) | −19.0623 | −0.989666 | ||||||||
\(372\) | 4.58468 | − | 1.66869i | 0.237705 | − | 0.0865174i | ||||
\(373\) | 4.80248 | − | 13.1947i | 0.248663 | − | 0.683196i | −0.751073 | − | 0.660219i | \(-0.770463\pi\) |
0.999736 | − | 0.0229766i | \(-0.00731432\pi\) | |||||||
\(374\) | −3.26803 | + | 2.74221i | −0.168986 | + | 0.141796i | ||||
\(375\) | −4.87854 | − | 13.3458i | −0.251927 | − | 0.689173i | ||||
\(376\) | 7.65151i | 0.394597i | ||||||||
\(377\) | −23.4210 | + | 4.12975i | −1.20624 | + | 0.212693i | ||||
\(378\) | 6.77986 | − | 11.7431i | 0.348719 | − | 0.603998i | ||||
\(379\) | −7.22523 | − | 6.06268i | −0.371135 | − | 0.311419i | 0.438075 | − | 0.898938i | \(-0.355660\pi\) |
−0.809210 | + | 0.587519i | \(0.800105\pi\) | |||||||
\(380\) | −1.55961 | + | 0.0915636i | −0.0800061 | + | 0.00469712i | ||||
\(381\) | −2.75214 | + | 4.76684i | −0.140996 | + | 0.244213i | ||||
\(382\) | −8.08902 | − | 22.2244i | −0.413870 | − | 1.13710i | ||||
\(383\) | −7.32984 | + | 6.15047i | −0.374538 | + | 0.314274i | −0.810553 | − | 0.585665i | \(-0.800834\pi\) |
0.436016 | + | 0.899939i | \(0.356389\pi\) | |||||||
\(384\) | 1.10066 | − | 0.635469i | 0.0561680 | − | 0.0324286i | ||||
\(385\) | 4.70874 | + | 3.50213i | 0.239980 | + | 0.178485i | ||||
\(386\) | −2.28301 | + | 12.9476i | −0.116202 | + | 0.659014i | ||||
\(387\) | 2.37944 | + | 1.99659i | 0.120954 | + | 0.101492i | ||||
\(388\) | 4.88685 | + | 1.77867i | 0.248092 | + | 0.0902981i | ||||
\(389\) | 3.01354 | − | 8.27964i | 0.152793 | − | 0.419794i | −0.839554 | − | 0.543276i | \(-0.817184\pi\) |
0.992347 | + | 0.123481i | \(0.0394060\pi\) | |||||||
\(390\) | 15.3356 | − | 6.62360i | 0.776550 | − | 0.335399i | ||||
\(391\) | 6.21353 | − | 35.2387i | 0.314232 | − | 1.78210i | ||||
\(392\) | 0.187425 | − | 1.06294i | 0.00946640 | − | 0.0536866i | ||||
\(393\) | 3.01189 | + | 5.21675i | 0.151930 | + | 0.263150i | ||||
\(394\) | −17.2729 | − | 20.5850i | −0.870195 | − | 1.03706i | ||||
\(395\) | 0.0769679 | − | 0.661166i | 0.00387267 | − | 0.0332669i | ||||
\(396\) | −0.746750 | + | 1.29341i | −0.0375256 | + | 0.0649962i | ||||
\(397\) | −12.8990 | + | 7.44724i | −0.647382 | + | 0.373766i | −0.787453 | − | 0.616375i | \(-0.788600\pi\) |
0.140070 | + | 0.990142i | \(0.455267\pi\) | |||||||
\(398\) | −6.56244 | + | 7.82081i | −0.328945 | + | 0.392022i | ||||
\(399\) | −1.87119 | − | 1.08033i | −0.0936765 | − | 0.0540841i | ||||
\(400\) | −3.42783 | + | 3.64005i | −0.171391 | + | 0.182003i | ||||
\(401\) | − | 7.58921i | − | 0.378987i | −0.981882 | − | 0.189494i | \(-0.939315\pi\) | ||
0.981882 | − | 0.189494i | \(-0.0606846\pi\) | |||||||
\(402\) | −0.903609 | − | 5.12462i | −0.0450679 | − | 0.255593i | ||||
\(403\) | −14.5045 | − | 17.2858i | −0.722519 | − | 0.861065i | ||||
\(404\) | −16.1247 | − | 5.86890i | −0.802232 | − | 0.291989i | ||||
\(405\) | 6.50417 | + | 0.757166i | 0.323195 | + | 0.0376239i | ||||
\(406\) | 9.84473 | 0.488586 | ||||||||
\(407\) | 1.42834 | − | 6.40324i | 0.0708001 | − | 0.317397i | ||||
\(408\) | − | 5.02705i | − | 0.248876i | ||||||
\(409\) | −4.25236 | − | 11.6833i | −0.210266 | − | 0.577701i | 0.789064 | − | 0.614311i | \(-0.210566\pi\) |
−0.999330 | + | 0.0366107i | \(0.988344\pi\) | |||||||
\(410\) | 9.19851 | + | 9.74078i | 0.454282 | + | 0.481063i | ||||
\(411\) | −20.3873 | + | 17.1070i | −1.00563 | + | 0.843824i | ||||
\(412\) | −2.24034 | − | 12.7056i | −0.110374 | − | 0.625961i | ||||
\(413\) | 21.8288 | 1.07412 | ||||||||
\(414\) | −2.17526 | − | 12.3365i | −0.106908 | − | 0.606306i | ||||
\(415\) | 17.5561 | + | 26.6658i | 0.861797 | + | 1.30897i | ||||
\(416\) | −4.50286 | − | 3.77835i | −0.220771 | − | 0.185249i | ||||
\(417\) | 8.31963 | − | 4.80334i | 0.407414 | − | 0.235221i | ||||
\(418\) | 0.652606 | + | 0.376782i | 0.0319200 | + | 0.0184290i | ||||
\(419\) | −0.492147 | + | 0.179127i | −0.0240430 | + | 0.00875092i | −0.354014 | − | 0.935240i | \(-0.615183\pi\) |
0.329971 | + | 0.943991i | \(0.392961\pi\) | |||||||
\(420\) | −6.72789 | + | 1.59784i | −0.328288 | + | 0.0779667i | ||||
\(421\) | −13.6218 | + | 7.86458i | −0.663888 | + | 0.383296i | −0.793757 | − | 0.608235i | \(-0.791878\pi\) |
0.129869 | + | 0.991531i | \(0.458544\pi\) | |||||||
\(422\) | −4.52736 | + | 25.6759i | −0.220388 | + | 1.24988i | ||||
\(423\) | 10.4342 | + | 1.83984i | 0.507330 | + | 0.0894559i | ||||
\(424\) | −5.03568 | + | 6.00129i | −0.244554 | + | 0.291448i | ||||
\(425\) | 5.68969 | + | 18.9408i | 0.275991 | + | 0.918766i | ||||
\(426\) | −4.67098 | + | 12.8334i | −0.226310 | + | 0.621781i | ||||
\(427\) | 22.4582 | + | 18.8447i | 1.08683 | + | 0.911959i | ||||
\(428\) | −1.18265 | − | 0.208533i | −0.0571654 | − | 0.0100798i | ||||
\(429\) | −7.93512 | − | 1.39918i | −0.383111 | − | 0.0675529i | ||||
\(430\) | −0.293972 | − | 5.00723i | −0.0141766 | − | 0.241470i | ||||
\(431\) | 1.75090 | + | 2.08664i | 0.0843380 | + | 0.100510i | 0.806563 | − | 0.591148i | \(-0.201325\pi\) |
−0.722225 | + | 0.691658i | \(0.756881\pi\) | |||||||
\(432\) | −1.90598 | − | 5.23663i | −0.0917013 | − | 0.251947i | ||||
\(433\) | −17.1961 | − | 9.92816i | −0.826391 | − | 0.477117i | 0.0262243 | − | 0.999656i | \(-0.491652\pi\) |
−0.852615 | + | 0.522539i | \(0.824985\pi\) | |||||||
\(434\) | 4.67041 | + | 8.08938i | 0.224187 | + | 0.388303i | ||||
\(435\) | 4.55908 | + | 10.5557i | 0.218591 | + | 0.506105i | ||||
\(436\) | 10.4587 | + | 6.03831i | 0.500879 | + | 0.289183i | ||||
\(437\) | −6.22454 | + | 1.09755i | −0.297760 | + | 0.0525032i | ||||
\(438\) | 0.122282 | 0.00584285 | ||||||||
\(439\) | 27.5270 | − | 4.85376i | 1.31379 | − | 0.231657i | 0.527524 | − | 0.849540i | \(-0.323121\pi\) |
0.786270 | + | 0.617883i | \(0.212010\pi\) | |||||||
\(440\) | 2.34646 | − | 0.557273i | 0.111863 | − | 0.0265669i | ||||
\(441\) | −1.40445 | − | 0.511176i | −0.0668784 | − | 0.0243417i | ||||
\(442\) | −21.8479 | + | 7.95199i | −1.03920 | + | 0.378238i | ||||
\(443\) | 22.8450i | 1.08540i | 0.839927 | + | 0.542699i | \(0.182598\pi\) | ||||
−0.839927 | + | 0.542699i | \(0.817402\pi\) | |||||||
\(444\) | 4.69821 | + | 6.13940i | 0.222967 | + | 0.291363i | ||||
\(445\) | −12.2973 | + | 24.5142i | −0.582946 | + | 1.16209i | ||||
\(446\) | 0.563257 | + | 1.54754i | 0.0266710 | + | 0.0732780i | ||||
\(447\) | −2.71277 | + | 7.45328i | −0.128310 | + | 0.352528i | ||||
\(448\) | 1.56406 | + | 1.86397i | 0.0738948 | + | 0.0880643i | ||||
\(449\) | 12.4686 | − | 2.19856i | 0.588431 | − | 0.103756i | 0.128498 | − | 0.991710i | \(-0.458984\pi\) |
0.459933 | + | 0.887953i | \(0.347873\pi\) | |||||||
\(450\) | 4.13964 | + | 5.54973i | 0.195145 | + | 0.261617i | ||||
\(451\) | −1.12216 | − | 6.36409i | −0.0528405 | − | 0.299673i | ||||
\(452\) | −0.826693 | + | 1.43187i | −0.0388844 | + | 0.0673497i | ||||
\(453\) | −4.11307 | + | 4.90176i | −0.193249 | + | 0.230305i | ||||
\(454\) | −9.37765 | − | 16.2426i | −0.440115 | − | 0.762301i | ||||
\(455\) | 17.5868 | + | 26.7124i | 0.824481 | + | 1.25230i | ||||
\(456\) | −0.834424 | + | 0.303706i | −0.0390755 | + | 0.0142223i | ||||
\(457\) | −15.2111 | + | 12.7636i | −0.711546 | + | 0.597058i | −0.925033 | − | 0.379888i | \(-0.875963\pi\) |
0.213486 | + | 0.976946i | \(0.431518\pi\) | |||||||
\(458\) | −4.56573 | − | 7.90808i | −0.213343 | − | 0.369520i | ||||
\(459\) | −21.7073 | − | 3.82759i | −1.01321 | − | 0.178657i | ||||
\(460\) | −12.0721 | + | 16.2314i | −0.562864 | + | 0.756791i | ||||
\(461\) | −6.98381 | + | 8.32299i | −0.325269 | + | 0.387640i | −0.903754 | − | 0.428053i | \(-0.859200\pi\) |
0.578485 | + | 0.815693i | \(0.303644\pi\) | |||||||
\(462\) | 3.13428 | + | 1.14079i | 0.145820 | + | 0.0530742i | ||||
\(463\) | −5.62872 | − | 2.04869i | −0.261589 | − | 0.0952105i | 0.207897 | − | 0.978151i | \(-0.433338\pi\) |
−0.469485 | + | 0.882940i | \(0.655560\pi\) | |||||||
\(464\) | 2.60068 | − | 3.09936i | 0.120733 | − | 0.143884i | ||||
\(465\) | −6.51069 | + | 8.75386i | −0.301926 | + | 0.405951i | ||||
\(466\) | −7.63600 | − | 1.34643i | −0.353731 | − | 0.0623723i | ||||
\(467\) | −18.0030 | − | 31.1820i | −0.833078 | − | 1.44293i | −0.895586 | − | 0.444889i | \(-0.853243\pi\) |
0.0625080 | − | 0.998044i | \(-0.480090\pi\) | |||||||
\(468\) | −6.23520 | + | 5.23196i | −0.288222 | + | 0.241847i | ||||
\(469\) | 9.36176 | − | 3.40740i | 0.432286 | − | 0.157339i | ||||
\(470\) | −9.40835 | − | 14.2902i | −0.433975 | − | 0.659160i | ||||
\(471\) | 2.59870 | + | 4.50108i | 0.119742 | + | 0.207399i | ||||
\(472\) | 5.76649 | − | 6.87224i | 0.265424 | − | 0.316320i | ||||
\(473\) | −1.20969 | + | 2.09524i | −0.0556214 | + | 0.0963391i | ||||
\(474\) | −0.0656965 | − | 0.372584i | −0.00301754 | − | 0.0171133i | ||||
\(475\) | 2.80019 | − | 2.08871i | 0.128482 | − | 0.0958366i | ||||
\(476\) | 9.47820 | − | 1.67126i | 0.434433 | − | 0.0766022i | ||||
\(477\) | 6.97300 | + | 8.31010i | 0.319272 | + | 0.380493i | ||||
\(478\) | 0.618825 | − | 1.70021i | 0.0283044 | − | 0.0777656i | ||||
\(479\) | −13.3126 | − | 36.5762i | −0.608270 | − | 1.67121i | −0.734004 | − | 0.679145i | \(-0.762351\pi\) |
0.125734 | − | 0.992064i | \(-0.459871\pi\) | |||||||
\(480\) | −1.27426 | + | 2.54021i | −0.0581619 | + | 0.115944i | ||||
\(481\) | 19.2505 | − | 30.1303i | 0.877745 | − | 1.37382i | ||||
\(482\) | − | 4.90209i | − | 0.223284i | ||||||
\(483\) | −26.2890 | + | 9.56841i | −1.19619 | + | 0.435378i | ||||
\(484\) | 9.24349 | + | 3.36435i | 0.420159 | + | 0.152925i | ||||
\(485\) | −11.3139 | + | 2.68700i | −0.513739 | + | 0.122010i | ||||
\(486\) | −12.7989 | + | 2.25678i | −0.580568 | + | 0.102370i | ||||
\(487\) | 26.1658 | 1.18569 | 0.592843 | − | 0.805318i | \(-0.298005\pi\) | ||||
0.592843 | + | 0.805318i | \(0.298005\pi\) | |||||||
\(488\) | 11.8656 | − | 2.09222i | 0.537129 | − | 0.0947103i | ||||
\(489\) | 21.9856 | + | 12.6934i | 0.994222 | + | 0.574014i | ||||
\(490\) | 0.956957 | + | 2.21565i | 0.0432309 | + | 0.100093i | ||||
\(491\) | 16.7368 | + | 28.9889i | 0.755320 | + | 1.30825i | 0.945215 | + | 0.326448i | \(0.105852\pi\) |
−0.189896 | + | 0.981804i | \(0.560815\pi\) | |||||||
\(492\) | 6.59472 | + | 3.80746i | 0.297313 | + | 0.171654i | ||||
\(493\) | −5.47343 | − | 15.0381i | −0.246511 | − | 0.677283i | ||||
\(494\) | 2.63985 | + | 3.14605i | 0.118773 | + | 0.141548i | ||||
\(495\) | −0.195727 | − | 3.33382i | −0.00879728 | − | 0.149844i | ||||
\(496\) | 3.78051 | + | 0.666607i | 0.169750 | + | 0.0299315i | ||||
\(497\) | −25.7495 | − | 4.54033i | −1.15502 | − | 0.203662i | ||||
\(498\) | 13.9008 | + | 11.6642i | 0.622911 | + | 0.522685i | ||||
\(499\) | 1.88387 | − | 5.17590i | 0.0843337 | − | 0.231705i | −0.890357 | − | 0.455263i | \(-0.849545\pi\) |
0.974691 | + | 0.223558i | \(0.0717673\pi\) | |||||||
\(500\) | 1.92610 | − | 11.0132i | 0.0861378 | − | 0.492524i | ||||
\(501\) | 7.37638 | − | 8.79083i | 0.329552 | − | 0.392745i | ||||
\(502\) | −11.2343 | − | 1.98091i | −0.501413 | − | 0.0884126i | ||||
\(503\) | −4.59324 | + | 26.0496i | −0.204803 | + | 1.16149i | 0.692948 | + | 0.720988i | \(0.256312\pi\) |
−0.897750 | + | 0.440505i | \(0.854799\pi\) | |||||||
\(504\) | 2.91795 | − | 1.68468i | 0.129976 | − | 0.0750415i | ||||
\(505\) | 37.3315 | − | 8.86604i | 1.66123 | − | 0.394533i | ||||
\(506\) | 9.16871 | − | 3.33714i | 0.407599 | − | 0.148354i | ||||
\(507\) | −23.7212 | − | 13.6954i | −1.05350 | − | 0.608236i | ||||
\(508\) | −3.75065 | + | 2.16544i | −0.166408 | + | 0.0960759i | ||||
\(509\) | 6.42650 | + | 5.39247i | 0.284849 | + | 0.239017i | 0.774005 | − | 0.633179i | \(-0.218251\pi\) |
−0.489156 | + | 0.872197i | \(0.662695\pi\) | |||||||
\(510\) | 6.18130 | + | 9.38871i | 0.273713 | + | 0.415739i | ||||
\(511\) | 0.0406531 | + | 0.230555i | 0.00179839 | + | 0.0101992i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0.676103 | + | 3.83437i | 0.0298507 | + | 0.169292i | ||||
\(514\) | −14.3424 | + | 12.0347i | −0.632616 | + | 0.530828i | ||||
\(515\) | 19.8071 | + | 20.9747i | 0.872804 | + | 0.924258i | ||||
\(516\) | −0.975068 | − | 2.67898i | −0.0429250 | − | 0.117935i | ||||
\(517\) | 8.25260i | 0.362949i | ||||||||
\(518\) | −10.0135 | + | 10.8992i | −0.439969 | + | 0.478885i | ||||
\(519\) | 11.6063 | 0.509460 | ||||||||
\(520\) | 13.0556 | + | 1.51983i | 0.572526 | + | 0.0666491i | ||||
\(521\) | 31.0040 | + | 11.2845i | 1.35831 | + | 0.494384i | 0.915531 | − | 0.402247i | \(-0.131771\pi\) |
0.442778 | + | 0.896631i | \(0.353993\pi\) | |||||||
\(522\) | −3.60120 | − | 4.29175i | −0.157620 | − | 0.187845i | ||||
\(523\) | −6.17373 | − | 35.0130i | −0.269958 | − | 1.53101i | −0.754534 | − | 0.656260i | \(-0.772137\pi\) |
0.484576 | − | 0.874749i | \(-0.338974\pi\) | |||||||
\(524\) | 4.73964i | 0.207052i | ||||||||
\(525\) | 10.6005 | − | 11.2569i | 0.462646 | − | 0.491289i | ||||
\(526\) | −18.8914 | − | 10.9070i | −0.823705 | − | 0.475566i | ||||
\(527\) | 9.76015 | − | 11.6317i | 0.425159 | − | 0.506684i | ||||
\(528\) | 1.18713 | − | 0.685389i | 0.0516632 | − | 0.0298277i | ||||
\(529\) | −29.4193 | + | 50.9557i | −1.27910 | + | 2.21546i | ||||
\(530\) | 2.02559 | − | 17.4001i | 0.0879861 | − | 0.755813i | ||||
\(531\) | −7.98497 | − | 9.51612i | −0.346518 | − | 0.412964i | ||||
\(532\) | −0.850026 | − | 1.47229i | −0.0368533 | − | 0.0638318i | ||||
\(533\) | 6.11571 | − | 34.6839i | 0.264901 | − | 1.50233i | ||||
\(534\) | −2.70687 | + | 15.3514i | −0.117138 | + | 0.664321i | ||||
\(535\) | 2.46517 | − | 1.06473i | 0.106579 | − | 0.0460322i | ||||
\(536\) | 1.40035 | − | 3.84744i | 0.0604861 | − | 0.166184i | ||||
\(537\) | 14.7376 | + | 5.36404i | 0.635973 | + | 0.231475i | ||||
\(538\) | 9.40232 | + | 7.88948i | 0.405363 | + | 0.340140i | ||||
\(539\) | 0.202149 | − | 1.14644i | 0.00870716 | − | 0.0493808i | ||||
\(540\) | 9.99866 | + | 7.43651i | 0.430274 | + | 0.320017i | ||||
\(541\) | −1.77881 | + | 1.02700i | −0.0764771 | + | 0.0441541i | −0.537751 | − | 0.843104i | \(-0.680726\pi\) |
0.461274 | + | 0.887258i | \(0.347393\pi\) | |||||||
\(542\) | 3.35091 | − | 2.81175i | 0.143934 | − | 0.120775i | ||||
\(543\) | 1.64716 | + | 4.52553i | 0.0706863 | + | 0.194209i | ||||
\(544\) | 1.97770 | − | 3.42547i | 0.0847930 | − | 0.146866i | ||||
\(545\) | −26.9577 | + | 1.58267i | −1.15474 | + | 0.0677943i | ||||
\(546\) | 13.9251 | + | 11.6845i | 0.595939 | + | 0.500052i | ||||
\(547\) | −3.63042 | + | 6.28808i | −0.155226 | + | 0.268859i | −0.933141 | − | 0.359510i | \(-0.882944\pi\) |
0.777915 | + | 0.628369i | \(0.216277\pi\) | |||||||
\(548\) | −20.6221 | + | 3.63623i | −0.880932 | + | 0.155332i | ||||
\(549\) | − | 16.6839i | − | 0.712053i | ||||||
\(550\) | −3.69711 | + | 3.92601i | −0.157645 | + | 0.167406i | ||||
\(551\) | −2.16546 | + | 1.81703i | −0.0922516 | + | 0.0774083i | ||||
\(552\) | −3.93237 | + | 10.8041i | −0.167373 | + | 0.459853i | ||||
\(553\) | 0.680643 | − | 0.247734i | 0.0289439 | − | 0.0105347i | ||||
\(554\) | 21.6108 | 0.918155 | ||||||||
\(555\) | −16.3236 | − | 5.68923i | −0.692898 | − | 0.241494i | ||||
\(556\) | 7.55874 | 0.320562 | ||||||||
\(557\) | −1.82309 | + | 0.663551i | −0.0772469 | + | 0.0281156i | −0.380355 | − | 0.924841i | \(-0.624198\pi\) |
0.303108 | + | 0.952956i | \(0.401976\pi\) | |||||||
\(558\) | 1.81808 | − | 4.99513i | 0.0769654 | − | 0.211461i | ||||
\(559\) | −10.1006 | + | 8.47543i | −0.427211 | + | 0.358473i | ||||
\(560\) | −5.21304 | − | 1.55804i | −0.220291 | − | 0.0658394i | ||||
\(561\) | − | 5.42197i | − | 0.228916i | ||||||
\(562\) | −19.2899 | + | 3.40133i | −0.813695 | + | 0.143476i | ||||
\(563\) | −14.2773 | + | 24.7290i | −0.601717 | + | 1.04220i | 0.390845 | + | 0.920457i | \(0.372183\pi\) |
−0.992561 | + | 0.121747i | \(0.961150\pi\) | |||||||
\(564\) | −7.44947 | − | 6.25085i | −0.313679 | − | 0.263208i | ||||
\(565\) | −0.216681 | − | 3.69073i | −0.00911583 | − | 0.155270i | ||||
\(566\) | −1.77507 | + | 3.07451i | −0.0746118 | + | 0.129231i | ||||
\(567\) | 2.43706 | + | 6.69577i | 0.102347 | + | 0.281196i | ||||
\(568\) | −8.23163 | + | 6.90716i | −0.345392 | + | 0.289818i | ||||
\(569\) | 33.9187 | − | 19.5830i | 1.42195 | − | 0.820962i | 0.425482 | − | 0.904967i | \(-0.360105\pi\) |
0.996465 | + | 0.0840054i | \(0.0267713\pi\) | |||||||
\(570\) | 1.18496 | − | 1.59323i | 0.0496326 | − | 0.0667329i | ||||
\(571\) | 3.28921 | − | 18.6540i | 0.137649 | − | 0.780648i | −0.835329 | − | 0.549750i | \(-0.814723\pi\) |
0.972978 | − | 0.230897i | \(-0.0741661\pi\) | |||||||
\(572\) | −4.85660 | − | 4.07517i | −0.203065 | − | 0.170391i | ||||
\(573\) | 28.2458 | + | 10.2806i | 1.17999 | + | 0.429480i | ||||
\(574\) | −4.98630 | + | 13.6997i | −0.208124 | + | 0.571816i | ||||
\(575\) | 2.58807 | − | 45.1582i | 0.107930 | − | 1.88323i | ||||
\(576\) | 0.240454 | − | 1.36368i | 0.0100189 | − | 0.0568201i | ||||
\(577\) | −5.10497 | + | 28.9517i | −0.212523 | + | 1.20528i | 0.672631 | + | 0.739978i | \(0.265164\pi\) |
−0.885154 | + | 0.465298i | \(0.845947\pi\) | |||||||
\(578\) | 0.677441 | + | 1.17336i | 0.0281778 | + | 0.0488055i | ||||
\(579\) | −10.7406 | − | 12.8001i | −0.446364 | − | 0.531956i | ||||
\(580\) | −1.04612 | + | 8.98629i | −0.0434376 | + | 0.373136i | ||||
\(581\) | −17.3707 | + | 30.0870i | −0.720659 | + | 1.24822i | ||||
\(582\) | −5.72397 | + | 3.30474i | −0.237266 | + | 0.136986i | ||||
\(583\) | −5.43127 | + | 6.47273i | −0.224940 | + | 0.268073i | ||||
\(584\) | 0.0833237 | + | 0.0481070i | 0.00344796 | + | 0.00199068i | ||||
\(585\) | 5.21184 | − | 17.4382i | 0.215483 | − | 0.720983i | ||||
\(586\) | − | 19.0630i | − | 0.787487i | ||||||
\(587\) | 3.29520 | + | 18.6880i | 0.136008 | + | 0.771337i | 0.974153 | + | 0.225890i | \(0.0725290\pi\) |
−0.838145 | + | 0.545447i | \(0.816360\pi\) | |||||||
\(588\) | 0.881757 | + | 1.05084i | 0.0363631 | + | 0.0433358i | ||||
\(589\) | −2.52036 | − | 0.917336i | −0.103850 | − | 0.0377982i | ||||
\(590\) | −2.31956 | + | 19.9254i | −0.0954948 | + | 0.820314i | ||||
\(591\) | 34.1524 | 1.40484 | ||||||||
\(592\) | 0.786084 | + | 6.03176i | 0.0323079 | + | 0.247904i | ||||
\(593\) | − | 11.8449i | − | 0.486413i | −0.969975 | − | 0.243206i | \(-0.921801\pi\) | ||
0.969975 | − | 0.243206i | \(-0.0781992\pi\) | |||||||
\(594\) | −2.05570 | − | 5.64800i | −0.0843466 | − | 0.231740i | ||||
\(595\) | −15.6468 | + | 14.7758i | −0.641458 | + | 0.605748i | ||||
\(596\) | −4.78070 | + | 4.01148i | −0.195825 | + | 0.164317i | ||||
\(597\) | −2.25316 | − | 12.7783i | −0.0922157 | − | 0.522981i | ||||
\(598\) | 53.1758 | 2.17452 | ||||||||
\(599\) | −1.74991 | − | 9.92421i | −0.0714992 | − | 0.405492i | −0.999461 | − | 0.0328177i | \(-0.989552\pi\) |
0.927962 | − | 0.372674i | \(-0.121559\pi\) | |||||||
\(600\) | −0.743597 | − | 6.31103i | −0.0303572 | − | 0.257647i | ||||
\(601\) | −8.15176 | − | 6.84014i | −0.332517 | − | 0.279015i | 0.461207 | − | 0.887292i | \(-0.347416\pi\) |
−0.793725 | + | 0.608277i | \(0.791861\pi\) | |||||||
\(602\) | 4.72689 | − | 2.72907i | 0.192654 | − | 0.111229i | ||||
\(603\) | −4.90997 | − | 2.83477i | −0.199949 | − | 0.115441i | ||||
\(604\) | −4.73108 | + | 1.72197i | −0.192505 | + | 0.0700660i | ||||
\(605\) | −21.4003 | + | 5.08247i | −0.870046 | + | 0.206632i | ||||
\(606\) | 18.8869 | − | 10.9043i | 0.767226 | − | 0.442958i | ||||
\(607\) | 2.82902 | − | 16.0442i | 0.114826 | − | 0.651213i | −0.872010 | − | 0.489489i | \(-0.837183\pi\) |
0.986836 | − | 0.161724i | \(-0.0517054\pi\) | |||||||
\(608\) | −0.688064 | − | 0.121324i | −0.0279047 | − | 0.00492035i | ||||
\(609\) | −8.04258 | + | 9.58477i | −0.325902 | + | 0.388395i | ||||
\(610\) | −19.5879 | + | 18.4975i | −0.793093 | + | 0.748941i | ||||
\(611\) | −15.3827 | + | 42.2637i | −0.622319 | + | 1.70981i | ||||
\(612\) | −4.19571 | − | 3.52062i | −0.169601 | − | 0.142312i | ||||
\(613\) | 24.0338 | + | 4.23782i | 0.970718 | + | 0.171164i | 0.636453 | − | 0.771315i | \(-0.280401\pi\) |
0.334265 | + | 0.942479i | \(0.391512\pi\) | |||||||
\(614\) | −2.10977 | − | 0.372009i | −0.0851433 | − | 0.0150131i | ||||
\(615\) | −16.9982 | + | 0.997956i | −0.685434 | + | 0.0402415i | ||||
\(616\) | 1.68693 | + | 2.01040i | 0.0679682 | + | 0.0810013i | ||||
\(617\) | −1.12580 | − | 3.09312i | −0.0453232 | − | 0.124524i | 0.914966 | − | 0.403531i | \(-0.132217\pi\) |
−0.960289 | + | 0.279006i | \(0.909995\pi\) | |||||||
\(618\) | 14.2004 | + | 8.19858i | 0.571222 | + | 0.329795i | ||||
\(619\) | −11.1508 | − | 19.3137i | −0.448188 | − | 0.776285i | 0.550080 | − | 0.835112i | \(-0.314597\pi\) |
−0.998268 | + | 0.0588271i | \(0.981264\pi\) | |||||||
\(620\) | −7.88029 | + | 3.40357i | −0.316480 | + | 0.136691i | ||||
\(621\) | 43.6592 | + | 25.2066i | 1.75198 | + | 1.01151i | ||||
\(622\) | −0.577196 | + | 0.101775i | −0.0231434 | + | 0.00408081i | ||||
\(623\) | −29.8441 | −1.19568 | ||||||||
\(624\) | 7.35716 | − | 1.29727i | 0.294522 | − | 0.0519322i | ||||
\(625\) | 9.94463 | + | 22.9370i | 0.397785 | + | 0.917479i | ||||
\(626\) | −19.6881 | − | 7.16588i | −0.786895 | − | 0.286406i | ||||
\(627\) | −0.899975 | + | 0.327564i | −0.0359415 | + | 0.0130816i | ||||
\(628\) | 4.08942i | 0.163186i | ||||||||
\(629\) | 22.2162 | + | 9.23627i | 0.885819 | + | 0.368274i | ||||
\(630\) | −3.37817 | + | 6.73429i | −0.134590 | + | 0.268301i | ||||
\(631\) | −3.80487 | − | 10.4538i | −0.151470 | − | 0.416159i | 0.840630 | − | 0.541609i | \(-0.182185\pi\) |
−0.992100 | + | 0.125450i | \(0.959963\pi\) | |||||||
\(632\) | 0.101812 | − | 0.279727i | 0.00404987 | − | 0.0111269i | ||||
\(633\) | −21.2993 | − | 25.3835i | −0.846572 | − | 1.00891i | ||||
\(634\) | 10.6354 | − | 1.87531i | 0.422387 | − | 0.0744782i | ||||
\(635\) | 4.34221 | − | 8.65608i | 0.172316 | − | 0.343506i | ||||
\(636\) | −1.72896 | − | 9.80542i | −0.0685577 | − | 0.388810i | ||||
\(637\) | 3.17221 | − | 5.49443i | 0.125688 | − | 0.217697i | ||||
\(638\) | 2.80498 | − | 3.34284i | 0.111050 | − | 0.132344i | ||||
\(639\) | 7.43984 | + | 12.8862i | 0.294316 | + | 0.509770i | ||||
\(640\) | −1.86764 | + | 1.22961i | −0.0738248 | + | 0.0486045i | ||||
\(641\) | −40.8165 | + | 14.8560i | −1.61215 | + | 0.586776i | −0.981865 | − | 0.189583i | \(-0.939286\pi\) |
−0.630290 | + | 0.776360i | \(0.717064\pi\) | |||||||
\(642\) | 1.16918 | − | 0.981059i | 0.0461439 | − | 0.0387193i | ||||
\(643\) | −1.59851 | − | 2.76871i | −0.0630393 | − | 0.109187i | 0.832783 | − | 0.553599i | \(-0.186746\pi\) |
−0.895823 | + | 0.444412i | \(0.853413\pi\) | |||||||
\(644\) | −21.6778 | − | 3.82238i | −0.854226 | − | 0.150623i | ||||
\(645\) | 5.11516 | + | 3.80441i | 0.201409 | + | 0.149798i | ||||
\(646\) | −1.77637 | + | 2.11700i | −0.0698904 | + | 0.0832922i | ||||
\(647\) | −3.93506 | − | 1.43225i | −0.154703 | − | 0.0563074i | 0.263508 | − | 0.964657i | \(-0.415121\pi\) |
−0.418211 | + | 0.908350i | \(0.637343\pi\) | |||||||
\(648\) | 2.75179 | + | 1.00157i | 0.108101 | + | 0.0393454i | ||||
\(649\) | 6.21949 | − | 7.41210i | 0.244136 | − | 0.290951i | ||||
\(650\) | −26.2519 | + | 13.2148i | −1.02968 | + | 0.518326i | ||||
\(651\) | −11.6912 | − | 2.06148i | −0.458215 | − | 0.0807957i | ||||
\(652\) | 9.98742 | + | 17.2987i | 0.391137 | + | 0.677470i | ||||
\(653\) | −28.4766 | + | 23.8947i | −1.11438 | + | 0.935073i | −0.998307 | − | 0.0581681i | \(-0.981474\pi\) |
−0.116070 | + | 0.993241i | \(0.537030\pi\) | |||||||
\(654\) | −14.4230 | + | 5.24954i | −0.563983 | + | 0.205273i | ||||
\(655\) | −5.82789 | − | 8.85192i | −0.227714 | − | 0.345873i | ||||
\(656\) | 2.99579 | + | 5.18886i | 0.116966 | + | 0.202591i | ||||
\(657\) | 0.0856381 | − | 0.102060i | 0.00334106 | − | 0.00398172i | ||||
\(658\) | 9.30899 | − | 16.1236i | 0.362902 | − | 0.628565i | ||||
\(659\) | −6.47563 | − | 36.7251i | −0.252255 | − | 1.43061i | −0.803022 | − | 0.595949i | \(-0.796776\pi\) |
0.550767 | − | 0.834659i | \(-0.314335\pi\) | |||||||
\(660\) | −1.37437 | + | 2.73976i | −0.0534971 | + | 0.106645i | ||||
\(661\) | 8.09644 | − | 1.42762i | 0.314915 | − | 0.0555280i | −0.0139567 | − | 0.999903i | \(-0.504443\pi\) |
0.328872 | + | 0.944375i | \(0.393332\pi\) | |||||||
\(662\) | 14.9272 | + | 17.7895i | 0.580160 | + | 0.691408i | ||||
\(663\) | 10.1065 | − | 27.7673i | 0.392503 | − | 1.07839i | ||||
\(664\) | 4.88331 | + | 13.4168i | 0.189509 | + | 0.520673i | ||||
\(665\) | 3.39788 | + | 1.70450i | 0.131764 | + | 0.0660977i | ||||
\(666\) | 8.41441 | + | 0.378390i | 0.326052 | + | 0.0146623i | ||||
\(667\) | 36.6014i | 1.41721i | ||||||||
\(668\) | 8.48472 | − | 3.08819i | 0.328284 | − | 0.119486i | ||||
\(669\) | −1.96682 | − | 0.715865i | −0.0760417 | − | 0.0276769i | ||||
\(670\) | 2.11549 | + | 8.90751i | 0.0817285 | + | 0.344127i | ||||
\(671\) | 12.7977 | − | 2.25658i | 0.494049 | − | 0.0871142i | ||||
\(672\) | −3.09250 | −0.119296 | ||||||||
\(673\) | −29.8649 | + | 5.26598i | −1.15121 | + | 0.202989i | −0.716502 | − | 0.697585i | \(-0.754258\pi\) |
−0.434704 | + | 0.900573i | \(0.643147\pi\) | |||||||
\(674\) | −5.61681 | − | 3.24287i | −0.216351 | − | 0.124911i | ||||
\(675\) | −27.8179 | − | 1.59428i | −1.07071 | − | 0.0613637i | ||||
\(676\) | −10.7759 | − | 18.6643i | −0.414456 | − | 0.717859i | ||||
\(677\) | −24.9696 | − | 14.4162i | −0.959659 | − | 0.554059i | −0.0635907 | − | 0.997976i | \(-0.520255\pi\) |
−0.896068 | + | 0.443917i | \(0.853589\pi\) | |||||||
\(678\) | −0.718704 | − | 1.97462i | −0.0276017 | − | 0.0758349i | ||||
\(679\) | −8.13384 | − | 9.69353i | −0.312148 | − | 0.372004i | ||||
\(680\) | 0.518365 | + | 8.82932i | 0.0198784 | + | 0.338589i | ||||
\(681\) | 23.4747 | + | 4.13922i | 0.899551 | + | 0.158615i | ||||
\(682\) | 4.07750 | + | 0.718974i | 0.156136 | + | 0.0275309i | ||||
\(683\) | −28.1200 | − | 23.5955i | −1.07598 | − | 0.902857i | −0.0804015 | − | 0.996763i | \(-0.525620\pi\) |
−0.995581 | + | 0.0939060i | \(0.970065\pi\) | |||||||
\(684\) | −0.330895 | + | 0.909127i | −0.0126521 | + | 0.0347613i | ||||
\(685\) | 34.0434 | − | 32.1482i | 1.30073 | − | 1.22832i | ||||
\(686\) | −12.6365 | + | 15.0596i | −0.482466 | + | 0.574980i | ||||
\(687\) | 11.4292 | + | 2.01528i | 0.436051 | + | 0.0768876i | ||||
\(688\) | 0.389520 | − | 2.20908i | 0.0148503 | − | 0.0842203i | ||||
\(689\) | −39.8801 | + | 23.0248i | −1.51931 | + | 0.877174i | ||||
\(690\) | −5.94056 | − | 25.0134i | −0.226153 | − | 0.952244i | ||||
\(691\) | 4.44315 | − | 1.61717i | 0.169025 | − | 0.0615202i | −0.256121 | − | 0.966645i | \(-0.582445\pi\) |
0.425147 | + | 0.905124i | \(0.360222\pi\) | |||||||
\(692\) | 7.90861 | + | 4.56604i | 0.300640 | + | 0.173575i | ||||
\(693\) | 3.14717 | − | 1.81702i | 0.119551 | − | 0.0690229i | ||||
\(694\) | 19.0924 | + | 16.0205i | 0.724739 | + | 0.608128i | ||||
\(695\) | −14.1170 | + | 9.29428i | −0.535488 | + | 0.352552i | ||||
\(696\) | 0.892921 | + | 5.06400i | 0.0338461 | + | 0.191951i | ||||
\(697\) | 23.6991 | 0.897666 | ||||||||
\(698\) | −5.21759 | − | 29.5904i | −0.197489 | − | 1.12001i | ||||
\(699\) | 7.54905 | − | 6.33440i | 0.285531 | − | 0.239589i | ||||
\(700\) | 11.6519 | − | 3.50013i | 0.440399 | − | 0.132293i | ||||
\(701\) | −7.86506 | − | 21.6091i | −0.297059 | − | 0.816163i | −0.994988 | − | 0.0999960i | \(-0.968117\pi\) |
0.697929 | − | 0.716167i | \(-0.254105\pi\) | |||||||
\(702\) | − | 32.7567i | − | 1.23632i | ||||||
\(703\) | 0.190922 | − | 4.24560i | 0.00720075 | − | 0.160126i | ||||
\(704\) | 1.07856 | 0.0406497 | ||||||||
\(705\) | 21.5990 | + | 2.51439i | 0.813465 | + | 0.0946974i | ||||
\(706\) | −24.1655 | − | 8.79552i | −0.909481 | − | 0.331024i | ||||
\(707\) | 26.8385 | + | 31.9848i | 1.00936 | + | 1.20291i | ||||
\(708\) | 1.97988 | + | 11.2284i | 0.0744084 | + | 0.421991i | ||||
\(709\) | 31.7787i | 1.19347i | 0.802437 | + | 0.596737i | \(0.203536\pi\) | ||||
−0.802437 | + | 0.596737i | \(0.796464\pi\) | |||||||
\(710\) | 6.88061 | − | 23.0217i | 0.258225 | − | 0.863991i | ||||
\(711\) | −0.356977 | − | 0.206101i | −0.0133877 | − | 0.00772939i | ||||
\(712\) | −7.88389 | + | 9.39566i | −0.295461 | + | 0.352117i | ||||
\(713\) | −30.0752 | + | 17.3639i | −1.12633 | + | 0.650285i | ||||
\(714\) | −6.11602 | + | 10.5932i | −0.228886 | + | 0.396442i | ||||
\(715\) | 14.0812 | + | 1.63923i | 0.526608 | + | 0.0613037i | ||||
\(716\) | 7.93202 | + | 9.45301i | 0.296433 | + | 0.353276i | ||||
\(717\) | 1.14977 | + | 1.99146i | 0.0429388 | + | 0.0743723i | ||||
\(718\) | 1.61509 | − | 9.15966i | 0.0602748 | − | 0.341835i | ||||
\(719\) | −5.05214 | + | 28.6521i | −0.188413 | + | 1.06854i | 0.733078 | + | 0.680144i | \(0.238083\pi\) |
−0.921491 | + | 0.388399i | \(0.873028\pi\) | |||||||
\(720\) | 1.22771 | + | 2.84253i | 0.0457541 | + | 0.105935i | ||||
\(721\) | −10.7370 | + | 29.4996i | −0.399865 | + | 1.09862i | ||||
\(722\) | −17.3954 | − | 6.33143i | −0.647392 | − | 0.235631i | ||||
\(723\) | 4.77265 | + | 4.00473i | 0.177497 | + | 0.148938i | ||||
\(724\) | −0.658005 | + | 3.73173i | −0.0244546 | + | 0.138689i | ||||
\(725\) | −9.09585 | − | 18.0694i | −0.337811 | − | 0.671082i | ||||
\(726\) | −10.8269 | + | 6.25092i | −0.401824 | + | 0.231993i | ||||
\(727\) | −13.2103 | + | 11.0847i | −0.489942 | + | 0.411110i | −0.854006 | − | 0.520264i | \(-0.825834\pi\) |
0.364063 | + | 0.931374i | \(0.381389\pi\) | |||||||
\(728\) | 4.89183 | + | 13.4402i | 0.181303 | + | 0.498127i | ||||
\(729\) | 12.6513 | − | 21.9128i | 0.468568 | − | 0.811583i | ||||
\(730\) | −0.214771 | + | 0.0126091i | −0.00794904 | + | 0.000466684i | ||||
\(731\) | −6.79677 | − | 5.70317i | −0.251388 | − | 0.210939i | ||||
\(732\) | −7.65651 | + | 13.2615i | −0.282993 | + | 0.490158i | ||||
\(733\) | 13.3168 | − | 2.34812i | 0.491869 | − | 0.0867298i | 0.0777881 | − | 0.996970i | \(-0.475214\pi\) |
0.414081 | + | 0.910240i | \(0.364103\pi\) | |||||||
\(734\) | 24.1493i | 0.891368i | ||||||||
\(735\) | −2.93892 | − | 0.878367i | −0.108404 | − | 0.0323991i | ||||
\(736\) | −6.92999 | + | 5.81496i | −0.255443 | + | 0.214342i | ||||
\(737\) | 1.51036 | − | 4.14969i | 0.0556349 | − | 0.152856i | ||||
\(738\) | 7.79631 | − | 2.83762i | 0.286986 | − | 0.104454i | ||||
\(739\) | 35.1115 | 1.29160 | 0.645798 | − | 0.763508i | \(-0.276525\pi\) | ||||
0.645798 | + | 0.763508i | \(0.276525\pi\) | |||||||
\(740\) | −8.88481 | − | 10.2986i | −0.326612 | − | 0.378582i | ||||
\(741\) | −5.21959 | −0.191746 | ||||||||
\(742\) | 17.9127 | − | 6.51970i | 0.657597 | − | 0.239346i | ||||
\(743\) | 8.07319 | − | 22.1809i | 0.296177 | − | 0.813739i | −0.698953 | − | 0.715167i | \(-0.746350\pi\) |
0.995130 | − | 0.0985716i | \(-0.0314273\pi\) | |||||||
\(744\) | −3.73747 | + | 3.13611i | −0.137022 | + | 0.114975i | ||||
\(745\) | 3.99606 | − | 13.3704i | 0.146404 | − | 0.489853i | ||||
\(746\) | 14.0415i | 0.514096i | ||||||||
\(747\) | 19.4705 | − | 3.43317i | 0.712387 | − | 0.125613i | ||||
\(748\) | 2.13306 | − | 3.69457i | 0.0779923 | − | 0.135087i | ||||
\(749\) | 2.23843 | + | 1.87826i | 0.0817903 | + | 0.0686302i | ||||
\(750\) | 9.14886 | + | 10.8724i | 0.334069 | + | 0.397003i | ||||
\(751\) | 22.7321 | − | 39.3732i | 0.829506 | − | 1.43675i | −0.0689201 | − | 0.997622i | \(-0.521955\pi\) |
0.898426 | − | 0.439125i | \(-0.144711\pi\) | |||||||
\(752\) | −2.61697 | − | 7.19007i | −0.0954311 | − | 0.262195i | ||||
\(753\) | 11.1064 | − | 9.31938i | 0.404740 | − | 0.339617i | ||||
\(754\) | 20.5961 | − | 11.8911i | 0.750064 | − | 0.433050i | ||||
\(755\) | 6.71859 | − | 9.03338i | 0.244514 | − | 0.328759i | ||||
\(756\) | −2.35462 | + | 13.3537i | −0.0856368 | + | 0.485670i | ||||
\(757\) | −26.5103 | − | 22.2448i | −0.963533 | − | 0.808500i | 0.0179911 | − | 0.999838i | \(-0.494273\pi\) |
−0.981524 | + | 0.191338i | \(0.938717\pi\) | |||||||
\(758\) | 8.86305 | + | 3.22589i | 0.321921 | + | 0.117169i | ||||
\(759\) | −4.24129 | + | 11.6528i | −0.153949 | + | 0.422972i | ||||
\(760\) | 1.43423 | − | 0.619458i | 0.0520251 | − | 0.0224701i | ||||
\(761\) | 2.82580 | − | 16.0259i | 0.102435 | − | 0.580938i | −0.889779 | − | 0.456392i | \(-0.849141\pi\) |
0.992214 | − | 0.124546i | \(-0.0397474\pi\) | |||||||
\(762\) | 0.955807 | − | 5.42065i | 0.0346252 | − | 0.196370i | ||||
\(763\) | −14.6927 | − | 25.4484i | −0.531910 | − | 0.921295i | ||||
\(764\) | 15.2024 | + | 18.1175i | 0.550003 | + | 0.655468i | ||||
\(765\) | 12.1650 | + | 1.41616i | 0.439828 | + | 0.0512014i | ||||
\(766\) | 4.78422 | − | 8.28650i | 0.172861 | − | 0.299404i | ||||
\(767\) | 45.6678 | − | 26.3663i | 1.64897 | − | 0.952032i | ||||
\(768\) | −0.816943 | + | 0.973594i | −0.0294789 | + | 0.0351316i | ||||
\(769\) | 0.136772 | + | 0.0789652i | 0.00493212 | + | 0.00284756i | 0.502464 | − | 0.864598i | \(-0.332427\pi\) |
−0.497532 | + | 0.867446i | \(0.665760\pi\) | |||||||
\(770\) | −5.62257 | − | 1.68044i | −0.202623 | − | 0.0605589i | ||||
\(771\) | − | 23.7953i | − | 0.856968i | ||||||
\(772\) | −2.28301 | − | 12.9476i | −0.0821672 | − | 0.465993i | ||||
\(773\) | −21.2518 | − | 25.3269i | −0.764373 | − | 0.910944i | 0.233743 | − | 0.972298i | \(-0.424902\pi\) |
−0.998116 | + | 0.0613543i | \(0.980458\pi\) | |||||||
\(774\) | −2.91882 | − | 1.06236i | −0.104915 | − | 0.0381858i | ||||
\(775\) | 10.5325 | − | 16.0463i | 0.378337 | − | 0.576400i | ||||
\(776\) | −5.20047 | −0.186686 | ||||||||
\(777\) | −2.43096 | − | 18.6532i | −0.0872103 | − | 0.669179i | ||||
\(778\) | 8.81101i | 0.315890i | ||||||||
\(779\) | −1.43176 | − | 3.93373i | −0.0512981 | − | 0.140940i | ||||
\(780\) | −12.1454 | + | 11.4692i | −0.434874 | + | 0.410665i | ||||
\(781\) | −8.87829 | + | 7.44977i | −0.317690 | + | 0.266574i | ||||
\(782\) | 6.21353 | + | 35.2387i | 0.222195 | + | 1.26013i | ||||
\(783\) | 22.5468 | 0.805756 | ||||||||
\(784\) | 0.187425 | + | 1.06294i | 0.00669375 | + | 0.0379622i | ||||
\(785\) | −5.02838 | − | 7.63755i | −0.179471 | − | 0.272596i | ||||
\(786\) | −4.61448 | − | 3.87201i | −0.164593 | − | 0.138110i | ||||
\(787\) | 24.3543 | − | 14.0609i | 0.868135 | − | 0.501218i | 0.00140721 | − | 0.999999i | \(-0.499552\pi\) |
0.866728 | + | 0.498781i | \(0.166219\pi\) | |||||||
\(788\) | 23.2717 | + | 13.4359i | 0.829019 | + | 0.478634i | ||||
\(789\) | 26.0522 | − | 9.48221i | 0.927481 | − | 0.337576i | ||||
\(790\) | 0.153806 | + | 0.647617i | 0.00547217 | + | 0.0230412i | ||||
\(791\) | 3.48410 | − | 2.01154i | 0.123880 | − | 0.0715223i | ||||
\(792\) | 0.259343 | − | 1.47081i | 0.00921537 | − | 0.0522629i | ||||
\(793\) | 69.7466 | + | 12.2982i | 2.47677 | + | 0.436722i | ||||
\(794\) | 9.57399 | − | 11.4098i | 0.339768 | − | 0.404920i | ||||
\(795\) | 15.2859 | + | 16.1870i | 0.542134 | + | 0.574094i | ||||
\(796\) | 3.49180 | − | 9.59364i | 0.123764 | − | 0.340038i | ||||
\(797\) | −25.8553 | − | 21.6952i | −0.915843 | − | 0.768484i | 0.0573784 | − | 0.998353i | \(-0.481726\pi\) |
−0.973222 | + | 0.229869i | \(0.926170\pi\) | |||||||
\(798\) | 2.12783 | + | 0.375195i | 0.0753245 | + | 0.0132817i | ||||
\(799\) | −29.8049 | − | 5.25541i | −1.05442 | − | 0.185923i | ||||
\(800\) | 1.97613 | − | 4.59292i | 0.0698668 | − | 0.162384i | ||||
\(801\) | 10.9170 | + | 13.0103i | 0.385732 | + | 0.459698i | ||||
\(802\) | 2.59566 | + | 7.13153i | 0.0916561 | + | 0.251823i | ||||
\(803\) | 0.0898694 | + | 0.0518861i | 0.00317142 | + | 0.00183102i | ||||
\(804\) | 2.60184 | + | 4.50652i | 0.0917598 | + | 0.158933i | ||||
\(805\) | 45.1863 | − | 19.5164i | 1.59261 | − | 0.687862i | ||||
\(806\) | 19.5418 | + | 11.2825i | 0.688331 | + | 0.397408i | ||||
\(807\) | −15.3623 | + | 2.70879i | −0.540779 | + | 0.0953539i | ||||
\(808\) | 17.1595 | 0.603670 | ||||||||
\(809\) | 11.4101 | − | 2.01191i | 0.401158 | − | 0.0707350i | 0.0305707 | − | 0.999533i | \(-0.490268\pi\) |
0.370587 | + | 0.928798i | \(0.379156\pi\) | |||||||
\(810\) | −6.37088 | + | 1.51305i | −0.223850 | + | 0.0531633i | ||||
\(811\) | −41.4889 | − | 15.1007i | −1.45687 | − | 0.530259i | −0.512371 | − | 0.858764i | \(-0.671233\pi\) |
−0.944502 | + | 0.328505i | \(0.893455\pi\) | |||||||
\(812\) | −9.25102 | + | 3.36710i | −0.324647 | + | 0.118162i | ||||
\(813\) | 5.55947i | 0.194979i | ||||||||
\(814\) | 0.847837 | + | 6.50559i | 0.0297167 | + | 0.228021i | ||||
\(815\) | −39.9235 | − | 20.0271i | −1.39846 | − | 0.701519i | ||||
\(816\) | 1.71935 | + | 4.72388i | 0.0601894 | + | 0.165369i | ||||
\(817\) | −0.536029 | + | 1.47273i | −0.0187533 | + | 0.0515242i | ||||
\(818\) | 7.99183 | + | 9.52429i | 0.279428 | + | 0.333009i | ||||
\(819\) | 19.5044 | − | 3.43916i | 0.681540 | − | 0.120174i | ||||
\(820\) | −11.9753 | − | 6.00726i | −0.418196 | − | 0.209783i | ||||
\(821\) | 2.50778 | + | 14.2223i | 0.0875221 | + | 0.496363i | 0.996784 | + | 0.0801377i | \(0.0255360\pi\) |
−0.909262 | + | 0.416225i | \(0.863353\pi\) | |||||||
\(822\) | 13.3068 | − | 23.0481i | 0.464130 | − | 0.803896i | ||||
\(823\) | −22.5648 | + | 26.8917i | −0.786560 | + | 0.937385i | −0.999210 | − | 0.0397429i | \(-0.987346\pi\) |
0.212650 | + | 0.977128i | \(0.431791\pi\) | |||||||
\(824\) | 6.45081 | + | 11.1731i | 0.224725 | + | 0.389235i | ||||
\(825\) | −0.802012 | − | 6.80681i | −0.0279225 | − | 0.236983i | ||||
\(826\) | −20.5123 | + | 7.46588i | −0.713716 | + | 0.259771i | ||||
\(827\) | −16.1147 | + | 13.5218i | −0.560363 | + | 0.470200i | −0.878432 | − | 0.477867i | \(-0.841410\pi\) |
0.318069 | + | 0.948067i | \(0.396966\pi\) | |||||||
\(828\) | 6.26341 | + | 10.8485i | 0.217668 | + | 0.377013i | ||||
\(829\) | −29.8827 | − | 5.26912i | −1.03787 | − | 0.183004i | −0.371350 | − | 0.928493i | \(-0.621105\pi\) |
−0.666518 | + | 0.745489i | \(0.732216\pi\) | |||||||
\(830\) | −25.6176 | − | 19.0531i | −0.889201 | − | 0.661344i | ||||
\(831\) | −17.6548 | + | 21.0401i | −0.612438 | + | 0.729875i | ||||
\(832\) | 5.52358 | + | 2.01042i | 0.191496 | + | 0.0696987i | ||||
\(833\) | 4.01174 | + | 1.46015i | 0.138999 | + | 0.0505913i | ||||
\(834\) | −6.17506 | + | 7.35915i | −0.213825 | + | 0.254826i | ||||
\(835\) | −12.0491 | + | 16.2005i | −0.416977 | + | 0.560641i | ||||
\(836\) | −0.742116 | − | 0.130855i | −0.0256666 | − | 0.00452572i | ||||
\(837\) | 10.6963 | + | 18.5266i | 0.369720 | + | 0.640373i | ||||
\(838\) | 0.401202 | − | 0.336648i | 0.0138593 | − | 0.0116293i | ||||
\(839\) | 33.6716 | − | 12.2554i | 1.16247 | − | 0.423105i | 0.312492 | − | 0.949920i | \(-0.398836\pi\) |
0.849980 | + | 0.526815i | \(0.176614\pi\) | |||||||
\(840\) | 5.77566 | − | 3.80256i | 0.199279 | − | 0.131201i | ||||
\(841\) | −6.31522 | − | 10.9383i | −0.217766 | − | 0.377182i | ||||
\(842\) | 10.1105 | − | 12.0492i | 0.348431 | − | 0.415244i | ||||
\(843\) | 12.4472 | − | 21.5592i | 0.428705 | − | 0.742539i | ||||
\(844\) | −4.52736 | − | 25.6759i | −0.155838 | − | 0.883801i | ||||
\(845\) | 43.0752 | + | 21.6081i | 1.48183 | + | 0.743342i | ||||
\(846\) | −10.4342 | + | 1.83984i | −0.358736 | + | 0.0632549i | ||||
\(847\) | −15.3852 | − | 18.3353i | −0.528641 | − | 0.630010i | ||||
\(848\) | 2.67943 | − | 7.36167i | 0.0920120 | − | 0.252801i | ||||
\(849\) | −1.54320 | − | 4.23990i | −0.0529624 | − | 0.145513i | ||||
\(850\) | −11.8247 | − | 15.8526i | −0.405584 | − | 0.543739i | ||||
\(851\) | −40.5220 | − | 37.2290i | −1.38907 | − | 1.27619i | ||||
\(852\) | − | 13.6570i | − | 0.467882i | ||||||
\(853\) | −23.0861 | + | 8.40265i | −0.790453 | + | 0.287701i | −0.705524 | − | 0.708686i | \(-0.749288\pi\) |
−0.0849286 | + | 0.996387i | \(0.527066\pi\) | |||||||
\(854\) | −27.5491 | − | 10.0271i | −0.942711 | − | 0.343119i | ||||
\(855\) | −0.499877 | − | 2.10479i | −0.0170954 | − | 0.0719823i | ||||
\(856\) | 1.18265 | − | 0.208533i | 0.0404220 | − | 0.00712750i | ||||
\(857\) | −3.10084 | −0.105923 | −0.0529613 | − | 0.998597i | \(-0.516866\pi\) | ||||
−0.0529613 | + | 0.998597i | \(0.516866\pi\) | |||||||
\(858\) | 7.93512 | − | 1.39918i | 0.270901 | − | 0.0477671i | ||||
\(859\) | 14.4811 | + | 8.36065i | 0.494088 | + | 0.285262i | 0.726269 | − | 0.687411i | \(-0.241253\pi\) |
−0.232181 | + | 0.972673i | \(0.574586\pi\) | |||||||
\(860\) | 1.98882 | + | 4.60471i | 0.0678180 | + | 0.157019i | ||||
\(861\) | −9.26447 | − | 16.0465i | −0.315732 | − | 0.546865i | ||||
\(862\) | −2.35898 | − | 1.36196i | −0.0803473 | − | 0.0463885i | ||||
\(863\) | 6.31398 | + | 17.3475i | 0.214930 | + | 0.590516i | 0.999567 | − | 0.0294402i | \(-0.00937246\pi\) |
−0.784636 | + | 0.619956i | \(0.787150\pi\) | |||||||
\(864\) | 3.58206 | + | 4.26894i | 0.121864 | + | 0.145232i | ||||
\(865\) | −20.3848 | + | 1.19678i | −0.693105 | + | 0.0406918i | ||||
\(866\) | 19.5547 | + | 3.44802i | 0.664495 | + | 0.117168i | ||||
\(867\) | −1.69581 | − | 0.299017i | −0.0575927 | − | 0.0101552i | ||||
\(868\) | −7.15548 | − | 6.00416i | −0.242873 | − | 0.203794i | ||||
\(869\) | 0.109810 | − | 0.301701i | 0.00372506 | − | 0.0102345i | ||||
\(870\) | −7.89439 | − | 8.35978i | −0.267645 | − | 0.283423i | ||||
\(871\) | 15.4699 | − | 18.4364i | 0.524179 | − | 0.624692i | ||||
\(872\) | −11.8931 | − | 2.09708i | −0.402753 | − | 0.0710162i | ||||
\(873\) | −1.25047 | + | 7.09179i | −0.0423222 | + | 0.240021i | ||||
\(874\) | 5.47377 | − | 3.16028i | 0.185153 | − | 0.106898i | ||||
\(875\) | −17.4576 | + | 20.8642i | −0.590176 | + | 0.705338i | ||||
\(876\) | −0.114907 | + | 0.0418229i | −0.00388236 | + | 0.00141306i | ||||
\(877\) | 50.3114 | + | 29.0473i | 1.69890 | + | 0.980858i | 0.946810 | + | 0.321794i | \(0.104286\pi\) |
0.752086 | + | 0.659065i | \(0.229048\pi\) | |||||||
\(878\) | −24.2069 | + | 13.9758i | −0.816942 | + | 0.471662i | ||||
\(879\) | 18.5597 | + | 15.5734i | 0.626002 | + | 0.525278i | ||||
\(880\) | −2.01435 | + | 1.32620i | −0.0679038 | + | 0.0447063i | ||||
\(881\) | 1.10109 | + | 6.24462i | 0.0370968 | + | 0.210386i | 0.997722 | − | 0.0674615i | \(-0.0214900\pi\) |
−0.960625 | + | 0.277848i | \(0.910379\pi\) | |||||||
\(882\) | 1.49458 | 0.0503251 | ||||||||
\(883\) | 2.03111 | + | 11.5190i | 0.0683524 | + | 0.387646i | 0.999722 | + | 0.0235710i | \(0.00750359\pi\) |
−0.931370 | + | 0.364075i | \(0.881385\pi\) | |||||||
\(884\) | 17.8106 | − | 14.9449i | 0.599035 | − | 0.502650i | ||||
\(885\) | −17.5043 | − | 18.5362i | −0.588400 | − | 0.623087i | ||||
\(886\) | −7.81344 | − | 21.4673i | −0.262498 | − | 0.721207i | ||||
\(887\) | − | 27.9053i | − | 0.936968i | −0.883472 | − | 0.468484i | \(-0.844800\pi\) | ||
0.883472 | − | 0.468484i | \(-0.155200\pi\) | |||||||
\(888\) | −6.51467 | − | 4.16227i | −0.218618 | − | 0.139677i | ||||
\(889\) | 10.5381 | 0.353436 | ||||||||
\(890\) | 3.17128 | − | 27.2418i | 0.106302 | − | 0.913146i | ||||
\(891\) | 2.96797 | + | 1.08025i | 0.0994306 | + | 0.0361898i | ||||
\(892\) | −1.05858 | − | 1.26156i | −0.0354438 | − | 0.0422403i | ||||
\(893\) | 0.928313 | + | 5.26473i | 0.0310648 | + | 0.176177i | ||||
\(894\) | − | 7.93161i | − | 0.265273i | ||||||
\(895\) | −26.4376 | − | 7.90152i | −0.883712 | − | 0.264119i | ||||
\(896\) | −2.10725 | − | 1.21662i | −0.0703982 | − | 0.0406444i | ||||
\(897\) | −43.4416 | + | 51.7716i | −1.45047 | + | 1.72860i | ||||
\(898\) | −10.9647 | + | 6.33049i | −0.365898 | + | 0.211251i | ||||
\(899\) | −7.76583 | + | 13.4508i | −0.259005 | + | 0.448610i | ||||
\(900\) | −5.78811 | − | 3.79920i | −0.192937 | − | 0.126640i | ||||
\(901\) | −19.9181 | − | 23.7374i | −0.663567 | − | 0.790809i | ||||
\(902\) | 3.23113 | + | 5.59649i | 0.107585 | + | 0.186343i | ||||
\(903\) | −1.20459 | + | 6.83156i | −0.0400862 | + | 0.227340i | ||||
\(904\) | 0.287108 | − | 1.62827i | 0.00954905 | − | 0.0541554i | ||||
\(905\) | −3.35965 | − | 7.77861i | −0.111679 | − | 0.258570i | ||||
\(906\) | 2.18852 | − | 6.01290i | 0.0727086 | − | 0.199765i | ||||
\(907\) | 22.7578 | + | 8.28317i | 0.755661 | + | 0.275038i | 0.690986 | − | 0.722868i | \(-0.257177\pi\) |
0.0646752 | + | 0.997906i | \(0.479399\pi\) | |||||||
\(908\) | 14.3674 | + | 12.0557i | 0.476799 | + | 0.400082i | ||||
\(909\) | 4.12607 | − | 23.4001i | 0.136853 | − | 0.776133i | ||||
\(910\) | −25.6623 | − | 19.0864i | −0.850698 | − | 0.632707i | ||||
\(911\) | 25.9838 | − | 15.0017i | 0.860881 | − | 0.497030i | −0.00342628 | − | 0.999994i | \(-0.501091\pi\) |
0.864307 | + | 0.502964i | \(0.167757\pi\) | |||||||
\(912\) | 0.680229 | − | 0.570780i | 0.0225246 | − | 0.0189004i | ||||
\(913\) | 5.26693 | + | 14.4708i | 0.174310 | + | 0.478913i | ||||
\(914\) | 9.92836 | − | 17.1964i | 0.328401 | − | 0.568807i | ||||
\(915\) | −2.00681 | − | 34.1821i | −0.0663431 | − | 1.13002i | ||||
\(916\) | 6.99511 | + | 5.86959i | 0.231125 | + | 0.193937i | ||||
\(917\) | 5.76634 | − | 9.98759i | 0.190421 | − | 0.329819i | ||||
\(918\) | 21.7073 | − | 3.82759i | 0.716449 | − | 0.126329i | ||||
\(919\) | 50.6212i | 1.66984i | 0.550372 | + | 0.834920i | \(0.314486\pi\) | ||||
−0.550372 | + | 0.834920i | \(0.685514\pi\) | |||||||
\(920\) | 5.79260 | − | 19.3814i | 0.190976 | − | 0.638986i | ||||
\(921\) | 2.08575 | − | 1.75015i | 0.0687277 | − | 0.0576694i | ||||
\(922\) | 3.71601 | − | 10.2097i | 0.122380 | − | 0.336237i | ||||
\(923\) | −59.3544 | + | 21.6032i | −1.95367 | + | 0.711079i | ||||
\(924\) | −3.33543 | −0.109728 | ||||||||
\(925\) | 29.2568 | + | 8.30913i | 0.961957 | + | 0.273202i | ||||
\(926\) | 5.98996 | 0.196842 | ||||||||
\(927\) | 16.7877 | − | 6.11023i | 0.551381 | − | 0.200686i | ||||
\(928\) | −1.38379 | + | 3.80193i | −0.0454251 | + | 0.124805i | ||||
\(929\) | 15.2989 | − | 12.8373i | 0.501941 | − | 0.421178i | −0.356342 | − | 0.934356i | \(-0.615976\pi\) |
0.858283 | + | 0.513177i | \(0.171532\pi\) | |||||||
\(930\) | 3.12405 | − | 10.4527i | 0.102442 | − | 0.342758i | ||||
\(931\) | − | 0.754110i | − | 0.0247150i | ||||||
\(932\) | 7.63600 | − | 1.34643i | 0.250125 | − | 0.0441039i | ||||
\(933\) | 0.372448 | − | 0.645099i | 0.0121934 | − | 0.0211196i | ||||
\(934\) | 27.5821 | + | 23.1442i | 0.902515 | + | 0.757300i | ||||
\(935\) | 0.559086 | + | 9.52293i | 0.0182841 | + | 0.311433i | ||||
\(936\) | 4.06974 | − | 7.04900i | 0.133024 | − | 0.230404i | ||||
\(937\) | 7.22742 | + | 19.8572i | 0.236109 | + | 0.648705i | 0.999994 | + | 0.00335278i | \(0.00106722\pi\) |
−0.763885 | + | 0.645352i | \(0.776711\pi\) | |||||||
\(938\) | −7.63177 | + | 6.40382i | −0.249186 | + | 0.209092i | ||||
\(939\) | 23.0607 | − | 13.3141i | 0.752558 | − | 0.434490i | ||||
\(940\) | 13.7285 | + | 10.2106i | 0.447775 | + | 0.333033i | ||||
\(941\) | −5.59678 | + | 31.7409i | −0.182450 | + | 1.03472i | 0.746739 | + | 0.665117i | \(0.231619\pi\) |
−0.929188 | + | 0.369606i | \(0.879493\pi\) | |||||||
\(942\) | −3.98144 | − | 3.34082i | −0.129722 | − | 0.108850i | ||||
\(943\) | −50.9338 | − | 18.5384i | −1.65863 | − | 0.603693i | ||||
\(944\) | −3.06829 | + | 8.43005i | −0.0998642 | + | 0.274375i | ||||
\(945\) | −12.0223 | − | 27.8352i | −0.391084 | − | 0.905478i | ||||
\(946\) | 0.420120 | − | 2.38262i | 0.0136593 | − | 0.0774655i | ||||
\(947\) | 5.20536 | − | 29.5210i | 0.169151 | − | 0.959305i | −0.775529 | − | 0.631312i | \(-0.782517\pi\) |
0.944680 | − | 0.327993i | \(-0.106372\pi\) | |||||||
\(948\) | 0.189166 | + | 0.327645i | 0.00614381 | + | 0.0106414i | ||||
\(949\) | 0.363530 | + | 0.433238i | 0.0118007 | + | 0.0140635i | ||||
\(950\) | −1.91694 | + | 2.92047i | −0.0621937 | + | 0.0947525i | ||||
\(951\) | −6.86274 | + | 11.8866i | −0.222540 | + | 0.385450i | ||||
\(952\) | −8.33499 | + | 4.81221i | −0.270139 | + | 0.155965i | ||||
\(953\) | 24.5483 | − | 29.2556i | 0.795199 | − | 0.947681i | −0.204314 | − | 0.978905i | \(-0.565496\pi\) |
0.999512 | + | 0.0312245i | \(0.00994069\pi\) | |||||||
\(954\) | −9.39470 | − | 5.42403i | −0.304165 | − | 0.175610i | ||||
\(955\) | −50.6699 | − | 15.1439i | −1.63964 | − | 0.490046i | ||||
\(956\) | 1.80932i | 0.0585177i | ||||||||
\(957\) | 0.963066 | + | 5.46182i | 0.0311315 | + | 0.176556i | ||||
\(958\) | 25.0196 | + | 29.8172i | 0.808346 | + | 0.963350i | ||||
\(959\) | 47.8798 | + | 17.4268i | 1.54612 | + | 0.562741i | ||||
\(960\) | 0.328613 | − | 2.82284i | 0.0106060 | − | 0.0911067i | ||||
\(961\) | 16.2633 | 0.524624 | ||||||||
\(962\) | −7.78435 | + | 34.8972i | −0.250978 | + | 1.12513i | ||||
\(963\) | − | 1.66290i | − | 0.0535861i | ||||||
\(964\) | 1.67662 | + | 4.60646i | 0.0540001 | + | 0.148364i | ||||
\(965\) | 20.1843 | + | 21.3742i | 0.649754 | + | 0.688059i | ||||
\(966\) | 21.4310 | − | 17.9827i | 0.689530 | − | 0.578585i | ||||
\(967\) | 4.72277 | + | 26.7841i | 0.151874 | + | 0.861320i | 0.961588 | + | 0.274496i | \(0.0885109\pi\) |
−0.809714 | + | 0.586824i | \(0.800378\pi\) | |||||||
\(968\) | −9.83671 | −0.316164 | ||||||||
\(969\) | −0.609903 | − | 3.45893i | −0.0195929 | − | 0.111117i | ||||
\(970\) | 9.71260 | − | 6.39454i | 0.311853 | − | 0.205316i | ||||
\(971\) | 18.7695 | + | 15.7495i | 0.602341 | + | 0.505424i | 0.892197 | − | 0.451646i | \(-0.149163\pi\) |
−0.289856 | + | 0.957070i | \(0.593607\pi\) | |||||||
\(972\) | 11.2551 | − | 6.49815i | 0.361008 | − | 0.208428i | ||||
\(973\) | −15.9281 | − | 9.19612i | −0.510633 | − | 0.294814i | ||||
\(974\) | −24.5878 | + | 8.94924i | −0.787845 | + | 0.286752i | ||||
\(975\) | 8.58049 | − | 36.3544i | 0.274796 | − | 1.16427i | ||||
\(976\) | −10.4344 | + | 6.02430i | −0.333997 | + | 0.192833i | ||||
\(977\) | 4.96750 | − | 28.1721i | 0.158925 | − | 0.901306i | −0.796185 | − | 0.605053i | \(-0.793152\pi\) |
0.955110 | − | 0.296253i | \(-0.0957370\pi\) | |||||||
\(978\) | −25.0011 | − | 4.40836i | −0.799446 | − | 0.140964i | ||||
\(979\) | −8.50323 | + | 10.1338i | −0.271764 | + | 0.323876i | ||||
\(980\) | −1.65704 | − | 1.75473i | −0.0529322 | − | 0.0560527i | ||||
\(981\) | −5.71951 | + | 15.7142i | −0.182610 | + | 0.501716i | ||||
\(982\) | −25.6422 | − | 21.5164i | −0.818276 | − | 0.686615i | ||||
\(983\) | −26.1393 | − | 4.60906i | −0.833714 | − | 0.147006i | −0.259533 | − | 0.965734i | \(-0.583569\pi\) |
−0.574182 | + | 0.818728i | \(0.694680\pi\) | |||||||
\(984\) | −7.49924 | − | 1.32232i | −0.239067 | − | 0.0421539i | ||||
\(985\) | −59.9839 | + | 3.52162i | −1.91125 | + | 0.112208i | ||||
\(986\) | 10.2867 | + | 12.2592i | 0.327595 | + | 0.390412i | ||||
\(987\) | 8.09297 | + | 22.2353i | 0.257602 | + | 0.707756i | ||||
\(988\) | −3.55666 | − | 2.05344i | −0.113153 | − | 0.0653286i | ||||
\(989\) | 10.1463 | + | 17.5739i | 0.322634 | + | 0.558819i | ||||
\(990\) | 1.32416 | + | 3.06583i | 0.0420845 | + | 0.0974384i | ||||
\(991\) | −42.9167 | − | 24.7780i | −1.36330 | − | 0.787099i | −0.373234 | − | 0.927737i | \(-0.621751\pi\) |
−0.990061 | + | 0.140638i | \(0.955085\pi\) | |||||||
\(992\) | −3.78051 | + | 0.666607i | −0.120031 | + | 0.0211648i | ||||
\(993\) | −29.5144 | −0.936610 | ||||||||
\(994\) | 25.7495 | − | 4.54033i | 0.816724 | − | 0.144011i | ||||
\(995\) | 5.27499 | + | 22.2110i | 0.167229 | + | 0.704135i | ||||
\(996\) | −17.0519 | − | 6.20638i | −0.540310 | − | 0.196657i | ||||
\(997\) | 52.1491 | − | 18.9807i | 1.65158 | − | 0.601125i | 0.662572 | − | 0.748998i | \(-0.269465\pi\) |
0.989006 | + | 0.147873i | \(0.0472426\pi\) | |||||||
\(998\) | 5.50807i | 0.174355i | ||||||||
\(999\) | −22.9334 | + | 24.9619i | −0.725580 | + | 0.789759i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 370.2.v.a.289.8 | yes | 60 | |
5.4 | even | 2 | 370.2.v.b.289.3 | yes | 60 | ||
37.21 | even | 18 | 370.2.v.b.169.3 | yes | 60 | ||
185.169 | even | 18 | inner | 370.2.v.a.169.8 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.v.a.169.8 | ✓ | 60 | 185.169 | even | 18 | inner | |
370.2.v.a.289.8 | yes | 60 | 1.1 | even | 1 | trivial | |
370.2.v.b.169.3 | yes | 60 | 37.21 | even | 18 | ||
370.2.v.b.289.3 | yes | 60 | 5.4 | even | 2 |