Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(67,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.h (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 67.3 | ||
Root | \(0.500000 + 1.41036i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.67 |
Dual form | 882.2.h.p.79.3 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | 1.09097 | + | 1.34528i | 0.629873 | + | 0.776698i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 3.18194 | 1.42301 | 0.711504 | − | 0.702682i | \(-0.248014\pi\) | ||||
0.711504 | + | 0.702682i | \(0.248014\pi\) | |||||||
\(6\) | 1.71053 | − | 0.272169i | 0.698322 | − | 0.111112i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −0.619562 | + | 2.93533i | −0.206521 | + | 0.978442i | ||||
\(10\) | 1.59097 | − | 2.75564i | 0.503109 | − | 0.871411i | ||||
\(11\) | 3.18194 | 0.959392 | 0.479696 | − | 0.877435i | \(-0.340747\pi\) | ||||
0.479696 | + | 0.877435i | \(0.340747\pi\) | |||||||
\(12\) | 0.619562 | − | 1.61745i | 0.178852 | − | 0.466917i | ||||
\(13\) | −2.85185 | + | 4.93955i | −0.790960 | + | 1.36998i | 0.134412 | + | 0.990925i | \(0.457085\pi\) |
−0.925373 | + | 0.379058i | \(0.876248\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.47141 | + | 4.28061i | 0.896314 | + | 1.10525i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 0.760877 | − | 1.31788i | 0.184540 | − | 0.319632i | −0.758882 | − | 0.651229i | \(-0.774254\pi\) |
0.943421 | + | 0.331596i | \(0.107587\pi\) | |||||||
\(18\) | 2.23229 | + | 2.00422i | 0.526155 | + | 0.472399i | ||||
\(19\) | 0.641315 | + | 1.11079i | 0.147128 | + | 0.254833i | 0.930165 | − | 0.367142i | \(-0.119664\pi\) |
−0.783037 | + | 0.621975i | \(0.786330\pi\) | |||||||
\(20\) | −1.59097 | − | 2.75564i | −0.355752 | − | 0.616181i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.59097 | − | 2.75564i | 0.339196 | − | 0.587505i | ||||
\(23\) | 2.23912 | 0.466889 | 0.233445 | − | 0.972370i | \(-0.425000\pi\) | ||||
0.233445 | + | 0.972370i | \(0.425000\pi\) | |||||||
\(24\) | −1.09097 | − | 1.34528i | −0.222694 | − | 0.274604i | ||||
\(25\) | 5.12476 | 1.02495 | ||||||||
\(26\) | 2.85185 | + | 4.93955i | 0.559293 | + | 0.968725i | ||||
\(27\) | −4.62476 | + | 2.36887i | −0.890036 | + | 0.455890i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.54063 | − | 6.13255i | −0.657478 | − | 1.13879i | −0.981266 | − | 0.192656i | \(-0.938290\pi\) |
0.323788 | − | 0.946130i | \(-0.395043\pi\) | |||||||
\(30\) | 5.44282 | − | 0.866025i | 0.993718 | − | 0.158114i | ||||
\(31\) | −4.71053 | − | 8.15888i | −0.846037 | − | 1.46538i | −0.884718 | − | 0.466127i | \(-0.845649\pi\) |
0.0386810 | − | 0.999252i | \(-0.487684\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 3.47141 | + | 4.28061i | 0.604295 | + | 0.745158i | ||||
\(34\) | −0.760877 | − | 1.31788i | −0.130489 | − | 0.226014i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.85185 | − | 0.931107i | 0.475308 | − | 0.155185i | ||||
\(37\) | 0.500000 | + | 0.866025i | 0.0821995 | + | 0.142374i | 0.904194 | − | 0.427121i | \(-0.140472\pi\) |
−0.821995 | + | 0.569495i | \(0.807139\pi\) | |||||||
\(38\) | 1.28263 | 0.208070 | ||||||||
\(39\) | −9.75636 | + | 1.55237i | −1.56227 | + | 0.248578i | ||||
\(40\) | −3.18194 | −0.503109 | ||||||||
\(41\) | 2.80150 | − | 4.85235i | 0.437522 | − | 0.757810i | −0.559976 | − | 0.828509i | \(-0.689190\pi\) |
0.997498 | + | 0.0706992i | \(0.0225230\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.41423 | + | 5.91362i | 0.520665 | + | 0.901819i | 0.999711 | + | 0.0240288i | \(0.00764935\pi\) |
−0.479046 | + | 0.877790i | \(0.659017\pi\) | |||||||
\(44\) | −1.59097 | − | 2.75564i | −0.239848 | − | 0.415429i | ||||
\(45\) | −1.97141 | + | 9.34004i | −0.293880 | + | 1.39233i | ||||
\(46\) | 1.11956 | − | 1.93914i | 0.165070 | − | 0.285910i | ||||
\(47\) | −2.91423 | + | 5.04759i | −0.425084 | + | 0.736267i | −0.996428 | − | 0.0844432i | \(-0.973089\pi\) |
0.571344 | + | 0.820711i | \(0.306422\pi\) | |||||||
\(48\) | −1.71053 | + | 0.272169i | −0.246894 | + | 0.0392842i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 2.56238 | − | 4.43818i | 0.362375 | − | 0.627653i | ||||
\(51\) | 2.60301 | − | 0.414174i | 0.364494 | − | 0.0579959i | ||||
\(52\) | 5.70370 | 0.790960 | ||||||||
\(53\) | 1.02859 | − | 1.78157i | 0.141288 | − | 0.244717i | −0.786694 | − | 0.617343i | \(-0.788209\pi\) |
0.927982 | + | 0.372626i | \(0.121542\pi\) | |||||||
\(54\) | −0.260877 | + | 5.18960i | −0.0355008 | + | 0.706215i | ||||
\(55\) | 10.1248 | 1.36522 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.794668 | + | 2.07459i | −0.105256 | + | 0.274786i | ||||
\(58\) | −7.08126 | −0.929815 | ||||||||
\(59\) | −0.562382 | − | 0.974074i | −0.0732159 | − | 0.126814i | 0.827093 | − | 0.562065i | \(-0.189993\pi\) |
−0.900309 | + | 0.435251i | \(0.856660\pi\) | |||||||
\(60\) | 1.97141 | − | 5.14663i | 0.254508 | − | 0.664427i | ||||
\(61\) | 1.56238 | − | 2.70612i | 0.200042 | − | 0.346484i | −0.748499 | − | 0.663135i | \(-0.769225\pi\) |
0.948542 | + | 0.316652i | \(0.102559\pi\) | |||||||
\(62\) | −9.42107 | −1.19648 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −9.07442 | + | 15.7174i | −1.12554 | + | 1.94950i | ||||
\(66\) | 5.44282 | − | 0.866025i | 0.669965 | − | 0.106600i | ||||
\(67\) | −5.48345 | − | 9.49761i | −0.669910 | − | 1.16032i | −0.977929 | − | 0.208938i | \(-0.932999\pi\) |
0.308019 | − | 0.951380i | \(-0.400334\pi\) | |||||||
\(68\) | −1.52175 | −0.184540 | ||||||||
\(69\) | 2.44282 | + | 3.01225i | 0.294081 | + | 0.362632i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.69002 | 1.03132 | 0.515658 | − | 0.856794i | \(-0.327548\pi\) | ||||
0.515658 | + | 0.856794i | \(0.327548\pi\) | |||||||
\(72\) | 0.619562 | − | 2.93533i | 0.0730160 | − | 0.345932i | ||||
\(73\) | 2.48345 | − | 4.30146i | 0.290666 | − | 0.503448i | −0.683302 | − | 0.730136i | \(-0.739457\pi\) |
0.973967 | + | 0.226689i | \(0.0727899\pi\) | |||||||
\(74\) | 1.00000 | 0.116248 | ||||||||
\(75\) | 5.59097 | + | 6.89425i | 0.645590 | + | 0.796079i | ||||
\(76\) | 0.641315 | − | 1.11079i | 0.0735639 | − | 0.127416i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −3.53379 | + | 9.22544i | −0.400123 | + | 1.04458i | ||||
\(79\) | 2.06922 | − | 3.58399i | 0.232805 | − | 0.403231i | −0.725827 | − | 0.687877i | \(-0.758543\pi\) |
0.958633 | + | 0.284646i | \(0.0918762\pi\) | |||||||
\(80\) | −1.59097 | + | 2.75564i | −0.177876 | + | 0.308090i | ||||
\(81\) | −8.23229 | − | 3.63723i | −0.914699 | − | 0.404137i | ||||
\(82\) | −2.80150 | − | 4.85235i | −0.309374 | − | 0.535852i | ||||
\(83\) | 4.03379 | + | 6.98673i | 0.442766 | + | 0.766893i | 0.997894 | − | 0.0648718i | \(-0.0206639\pi\) |
−0.555127 | + | 0.831765i | \(0.687331\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.42107 | − | 4.19341i | 0.262602 | − | 0.454839i | ||||
\(86\) | 6.82846 | 0.736332 | ||||||||
\(87\) | 4.38727 | − | 11.4536i | 0.470365 | − | 1.22795i | ||||
\(88\) | −3.18194 | −0.339196 | ||||||||
\(89\) | −0.112725 | − | 0.195246i | −0.0119488 | − | 0.0206960i | 0.859989 | − | 0.510312i | \(-0.170470\pi\) |
−0.871938 | + | 0.489616i | \(0.837137\pi\) | |||||||
\(90\) | 7.10301 | + | 6.37731i | 0.748723 | + | 0.672228i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −1.11956 | − | 1.93914i | −0.116722 | − | 0.202169i | ||||
\(93\) | 5.83693 | − | 15.2381i | 0.605262 | − | 1.58012i | ||||
\(94\) | 2.91423 | + | 5.04759i | 0.300580 | + | 0.520620i | ||||
\(95\) | 2.04063 | + | 3.53447i | 0.209364 | + | 0.362629i | ||||
\(96\) | −0.619562 | + | 1.61745i | −0.0632337 | + | 0.165080i | ||||
\(97\) | −7.42107 | − | 12.8537i | −0.753495 | − | 1.30509i | −0.946119 | − | 0.323819i | \(-0.895033\pi\) |
0.192624 | − | 0.981273i | \(-0.438300\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.97141 | + | 9.34004i | −0.198134 | + | 0.938710i | ||||
\(100\) | −2.56238 | − | 4.43818i | −0.256238 | − | 0.443818i | ||||
\(101\) | −18.5893 | −1.84971 | −0.924854 | − | 0.380322i | \(-0.875813\pi\) | ||||
−0.924854 | + | 0.380322i | \(0.875813\pi\) | |||||||
\(102\) | 0.942820 | − | 2.46136i | 0.0933531 | − | 0.243711i | ||||
\(103\) | 0.282630 | 0.0278484 | 0.0139242 | − | 0.999903i | \(-0.495568\pi\) | ||||
0.0139242 | + | 0.999903i | \(0.495568\pi\) | |||||||
\(104\) | 2.85185 | − | 4.93955i | 0.279647 | − | 0.484362i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.02859 | − | 1.78157i | −0.0999055 | − | 0.173041i | ||||
\(107\) | 5.68878 | + | 9.85326i | 0.549955 | + | 0.952550i | 0.998277 | + | 0.0586780i | \(0.0186885\pi\) |
−0.448322 | + | 0.893872i | \(0.647978\pi\) | |||||||
\(108\) | 4.36389 | + | 2.82073i | 0.419915 | + | 0.271424i | ||||
\(109\) | −2.21053 | + | 3.82876i | −0.211731 | + | 0.366728i | −0.952256 | − | 0.305300i | \(-0.901243\pi\) |
0.740526 | + | 0.672028i | \(0.234577\pi\) | |||||||
\(110\) | 5.06238 | − | 8.76830i | 0.482679 | − | 0.836025i | ||||
\(111\) | −0.619562 | + | 1.61745i | −0.0588062 | + | 0.153522i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.60752 | + | 2.78431i | −0.151223 | + | 0.261926i | −0.931677 | − | 0.363287i | \(-0.881655\pi\) |
0.780454 | + | 0.625213i | \(0.214988\pi\) | |||||||
\(114\) | 1.39931 | + | 1.72550i | 0.131058 | + | 0.161608i | ||||
\(115\) | 7.12476 | 0.664388 | ||||||||
\(116\) | −3.54063 | + | 6.13255i | −0.328739 | + | 0.569393i | ||||
\(117\) | −12.7323 | − | 11.4315i | −1.17710 | − | 1.05684i | ||||
\(118\) | −1.12476 | −0.103543 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −3.47141 | − | 4.28061i | −0.316895 | − | 0.390764i | ||||
\(121\) | −0.875237 | −0.0795670 | ||||||||
\(122\) | −1.56238 | − | 2.70612i | −0.141451 | − | 0.245001i | ||||
\(123\) | 9.58414 | − | 1.52496i | 0.864172 | − | 0.137501i | ||||
\(124\) | −4.71053 | + | 8.15888i | −0.423018 | + | 0.732689i | ||||
\(125\) | 0.396990 | 0.0355079 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 20.1053 | 1.78406 | 0.892030 | − | 0.451976i | \(-0.149281\pi\) | ||||
0.892030 | + | 0.451976i | \(0.149281\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | −4.23065 | + | 11.0447i | −0.372488 | + | 0.972431i | ||||
\(130\) | 9.07442 | + | 15.7174i | 0.795879 | + | 1.37850i | ||||
\(131\) | −6.36389 | −0.556015 | −0.278008 | − | 0.960579i | \(-0.589674\pi\) | ||||
−0.278008 | + | 0.960579i | \(0.589674\pi\) | |||||||
\(132\) | 1.97141 | − | 5.14663i | 0.171589 | − | 0.447957i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −10.9669 | −0.947396 | ||||||||
\(135\) | −14.7157 | + | 7.53762i | −1.26653 | + | 0.648735i | ||||
\(136\) | −0.760877 | + | 1.31788i | −0.0652446 | + | 0.113007i | ||||
\(137\) | 2.74145 | 0.234218 | 0.117109 | − | 0.993119i | \(-0.462637\pi\) | ||||
0.117109 | + | 0.993119i | \(0.462637\pi\) | |||||||
\(138\) | 3.83009 | − | 0.609419i | 0.326039 | − | 0.0518772i | ||||
\(139\) | 3.98345 | − | 6.89953i | 0.337872 | − | 0.585211i | −0.646161 | − | 0.763202i | \(-0.723626\pi\) |
0.984032 | + | 0.177991i | \(0.0569597\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.96978 | + | 1.58632i | −0.839607 | + | 0.133593i | ||||
\(142\) | 4.34501 | − | 7.52578i | 0.364625 | − | 0.631550i | ||||
\(143\) | −9.07442 | + | 15.7174i | −0.758841 | + | 1.31435i | ||||
\(144\) | −2.23229 | − | 2.00422i | −0.186024 | − | 0.167018i | ||||
\(145\) | −11.2661 | − | 19.5134i | −0.935597 | − | 1.62050i | ||||
\(146\) | −2.48345 | − | 4.30146i | −0.205532 | − | 0.355991i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.500000 | − | 0.866025i | 0.0410997 | − | 0.0711868i | ||||
\(149\) | −23.2599 | −1.90553 | −0.952764 | − | 0.303712i | \(-0.901774\pi\) | ||||
−0.952764 | + | 0.303712i | \(0.901774\pi\) | |||||||
\(150\) | 8.76608 | − | 1.39480i | 0.715747 | − | 0.113885i | ||||
\(151\) | −8.12476 | −0.661184 | −0.330592 | − | 0.943774i | \(-0.607248\pi\) | ||||
−0.330592 | + | 0.943774i | \(0.607248\pi\) | |||||||
\(152\) | −0.641315 | − | 1.11079i | −0.0520175 | − | 0.0900970i | ||||
\(153\) | 3.39699 | + | 3.04993i | 0.274630 | + | 0.246572i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −14.9887 | − | 25.9611i | −1.20392 | − | 2.08525i | ||||
\(156\) | 6.22257 | + | 7.67307i | 0.498204 | + | 0.614338i | ||||
\(157\) | −5.63160 | − | 9.75422i | −0.449451 | − | 0.778471i | 0.548900 | − | 0.835888i | \(-0.315047\pi\) |
−0.998350 | + | 0.0574170i | \(0.981714\pi\) | |||||||
\(158\) | −2.06922 | − | 3.58399i | −0.164618 | − | 0.285127i | ||||
\(159\) | 3.51887 | − | 0.559900i | 0.279065 | − | 0.0444030i | ||||
\(160\) | 1.59097 | + | 2.75564i | 0.125777 | + | 0.217853i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −7.26608 | + | 5.31075i | −0.570877 | + | 0.417252i | ||||
\(163\) | −1.99028 | − | 3.44727i | −0.155891 | − | 0.270011i | 0.777492 | − | 0.628893i | \(-0.216492\pi\) |
−0.933383 | + | 0.358881i | \(0.883158\pi\) | |||||||
\(164\) | −5.60301 | −0.437522 | ||||||||
\(165\) | 11.0458 | + | 13.6207i | 0.859917 | + | 1.06037i | ||||
\(166\) | 8.06758 | 0.626166 | ||||||||
\(167\) | −2.61956 | + | 4.53721i | −0.202708 | + | 0.351100i | −0.949400 | − | 0.314070i | \(-0.898307\pi\) |
0.746692 | + | 0.665170i | \(0.231641\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.76608 | − | 16.9153i | −0.751237 | − | 1.30118i | ||||
\(170\) | −2.42107 | − | 4.19341i | −0.185687 | − | 0.321620i | ||||
\(171\) | −3.65787 | + | 1.19427i | −0.279724 | + | 0.0913278i | ||||
\(172\) | 3.41423 | − | 5.91362i | 0.260333 | − | 0.450909i | ||||
\(173\) | 1.27579 | − | 2.20974i | 0.0969968 | − | 0.168003i | −0.813443 | − | 0.581644i | \(-0.802410\pi\) |
0.910440 | + | 0.413641i | \(0.135743\pi\) | |||||||
\(174\) | −7.72545 | − | 9.52628i | −0.585665 | − | 0.722185i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.59097 | + | 2.75564i | −0.119924 | + | 0.207714i | ||||
\(177\) | 0.696860 | − | 1.81925i | 0.0523792 | − | 0.136743i | ||||
\(178\) | −0.225450 | −0.0168982 | ||||||||
\(179\) | 3.51887 | − | 6.09487i | 0.263013 | − | 0.455552i | −0.704028 | − | 0.710172i | \(-0.748617\pi\) |
0.967041 | + | 0.254620i | \(0.0819504\pi\) | |||||||
\(180\) | 9.07442 | − | 2.96273i | 0.676367 | − | 0.220829i | ||||
\(181\) | 12.9669 | 0.963822 | 0.481911 | − | 0.876220i | \(-0.339943\pi\) | ||||
0.481911 | + | 0.876220i | \(0.339943\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 5.34501 | − | 0.850463i | 0.395115 | − | 0.0628680i | ||||
\(184\) | −2.23912 | −0.165070 | ||||||||
\(185\) | 1.59097 | + | 2.75564i | 0.116971 | + | 0.202599i | ||||
\(186\) | −10.2781 | − | 12.6740i | −0.753628 | − | 0.929301i | ||||
\(187\) | 2.42107 | − | 4.19341i | 0.177046 | − | 0.306653i | ||||
\(188\) | 5.82846 | 0.425084 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4.08126 | 0.296085 | ||||||||
\(191\) | −0.990285 | + | 1.71522i | −0.0716545 | + | 0.124109i | −0.899627 | − | 0.436660i | \(-0.856161\pi\) |
0.827972 | + | 0.560769i | \(0.189495\pi\) | |||||||
\(192\) | 1.09097 | + | 1.34528i | 0.0787341 | + | 0.0970873i | ||||
\(193\) | 2.27292 | + | 3.93680i | 0.163608 | + | 0.283377i | 0.936160 | − | 0.351574i | \(-0.114353\pi\) |
−0.772552 | + | 0.634951i | \(0.781020\pi\) | |||||||
\(194\) | −14.8421 | −1.06560 | ||||||||
\(195\) | −31.0442 | + | 4.93955i | −2.22312 | + | 0.353728i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −21.8148 | −1.55424 | −0.777120 | − | 0.629353i | \(-0.783320\pi\) | ||||
−0.777120 | + | 0.629353i | \(0.783320\pi\) | |||||||
\(198\) | 7.10301 | + | 6.37731i | 0.504789 | + | 0.453216i | ||||
\(199\) | −6.14132 | + | 10.6371i | −0.435346 | + | 0.754042i | −0.997324 | − | 0.0731106i | \(-0.976707\pi\) |
0.561978 | + | 0.827152i | \(0.310041\pi\) | |||||||
\(200\) | −5.12476 | −0.362375 | ||||||||
\(201\) | 6.79467 | − | 17.7384i | 0.479259 | − | 1.25117i | ||||
\(202\) | −9.29467 | + | 16.0988i | −0.653971 | + | 1.13271i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −1.66019 | − | 2.04719i | −0.116237 | − | 0.143332i | ||||
\(205\) | 8.91423 | − | 15.4399i | 0.622597 | − | 1.07837i | ||||
\(206\) | 0.141315 | − | 0.244765i | 0.00984589 | − | 0.0170536i | ||||
\(207\) | −1.38727 | + | 6.57256i | −0.0964223 | + | 0.456824i | ||||
\(208\) | −2.85185 | − | 4.93955i | −0.197740 | − | 0.342496i | ||||
\(209\) | 2.04063 | + | 3.53447i | 0.141153 | + | 0.244485i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.32846 | + | 14.4253i | −0.573355 | + | 0.993080i | 0.422863 | + | 0.906193i | \(0.361025\pi\) |
−0.996218 | + | 0.0868863i | \(0.972308\pi\) | |||||||
\(212\) | −2.05718 | −0.141288 | ||||||||
\(213\) | 9.48057 | + | 11.6905i | 0.649598 | + | 0.801021i | ||||
\(214\) | 11.3776 | 0.777754 | ||||||||
\(215\) | 10.8639 | + | 18.8168i | 0.740911 | + | 1.28330i | ||||
\(216\) | 4.62476 | − | 2.36887i | 0.314675 | − | 0.161181i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 2.21053 | + | 3.82876i | 0.149716 | + | 0.259316i | ||||
\(219\) | 8.49604 | − | 1.35183i | 0.574109 | − | 0.0913485i | ||||
\(220\) | −5.06238 | − | 8.76830i | −0.341306 | − | 0.591159i | ||||
\(221\) | 4.33981 | + | 7.51677i | 0.291927 | + | 0.505633i | ||||
\(222\) | 1.09097 | + | 1.34528i | 0.0732212 | + | 0.0902893i | ||||
\(223\) | 5.32846 | + | 9.22916i | 0.356820 | + | 0.618031i | 0.987428 | − | 0.158071i | \(-0.0505276\pi\) |
−0.630608 | + | 0.776102i | \(0.717194\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −3.17511 | + | 15.0429i | −0.211674 | + | 1.00286i | ||||
\(226\) | 1.60752 | + | 2.78431i | 0.106931 | + | 0.185210i | ||||
\(227\) | 14.5081 | 0.962935 | 0.481468 | − | 0.876464i | \(-0.340104\pi\) | ||||
0.481468 | + | 0.876464i | \(0.340104\pi\) | |||||||
\(228\) | 2.19398 | − | 0.349092i | 0.145300 | − | 0.0231192i | ||||
\(229\) | −10.2495 | −0.677308 | −0.338654 | − | 0.940911i | \(-0.609972\pi\) | ||||
−0.338654 | + | 0.940911i | \(0.609972\pi\) | |||||||
\(230\) | 3.56238 | − | 6.17023i | 0.234896 | − | 0.406853i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.54063 | + | 6.13255i | 0.232454 | + | 0.402622i | ||||
\(233\) | 0.540628 | + | 0.936396i | 0.0354177 | + | 0.0613453i | 0.883191 | − | 0.469014i | \(-0.155390\pi\) |
−0.847773 | + | 0.530359i | \(0.822057\pi\) | |||||||
\(234\) | −16.2661 | + | 5.31075i | −1.06335 | + | 0.347175i | ||||
\(235\) | −9.27292 | + | 16.0612i | −0.604898 | + | 1.04771i | ||||
\(236\) | −0.562382 | + | 0.974074i | −0.0366079 | + | 0.0634068i | ||||
\(237\) | 7.07893 | − | 1.12635i | 0.459826 | − | 0.0731645i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −6.16019 | + | 10.6698i | −0.398470 | + | 0.690170i | −0.993537 | − | 0.113506i | \(-0.963792\pi\) |
0.595068 | + | 0.803676i | \(0.297125\pi\) | |||||||
\(240\) | −5.44282 | + | 0.866025i | −0.351333 | + | 0.0559017i | ||||
\(241\) | 13.0000 | 0.837404 | 0.418702 | − | 0.908124i | \(-0.362485\pi\) | ||||
0.418702 | + | 0.908124i | \(0.362485\pi\) | |||||||
\(242\) | −0.437618 | + | 0.757977i | −0.0281312 | + | 0.0487246i | ||||
\(243\) | −4.08809 | − | 15.0429i | −0.262251 | − | 0.965000i | ||||
\(244\) | −3.12476 | −0.200042 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 3.47141 | − | 9.06259i | 0.221329 | − | 0.577809i | ||||
\(247\) | −7.31573 | −0.465489 | ||||||||
\(248\) | 4.71053 | + | 8.15888i | 0.299119 | + | 0.518090i | ||||
\(249\) | −4.99837 | + | 13.0489i | −0.316759 | + | 0.826941i | ||||
\(250\) | 0.198495 | − | 0.343803i | 0.0125539 | − | 0.0217440i | ||||
\(251\) | −5.11109 | −0.322609 | −0.161305 | − | 0.986905i | \(-0.551570\pi\) | ||||
−0.161305 | + | 0.986905i | \(0.551570\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.12476 | 0.447930 | ||||||||
\(254\) | 10.0527 | − | 17.4117i | 0.630760 | − | 1.09251i | ||||
\(255\) | 8.28263 | − | 1.31788i | 0.518678 | − | 0.0825287i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −7.66019 | −0.477830 | −0.238915 | − | 0.971041i | \(-0.576792\pi\) | ||||
−0.238915 | + | 0.971041i | \(0.576792\pi\) | |||||||
\(258\) | 7.44966 | + | 9.18620i | 0.463795 | + | 0.571908i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 18.1488 | 1.12554 | ||||||||
\(261\) | 20.1947 | − | 6.59341i | 1.25002 | − | 0.408122i | ||||
\(262\) | −3.18194 | + | 5.51129i | −0.196581 | + | 0.340488i | ||||
\(263\) | −3.09493 | −0.190842 | −0.0954208 | − | 0.995437i | \(-0.530420\pi\) | ||||
−0.0954208 | + | 0.995437i | \(0.530420\pi\) | |||||||
\(264\) | −3.47141 | − | 4.28061i | −0.213651 | − | 0.263453i | ||||
\(265\) | 3.27292 | − | 5.66886i | 0.201054 | − | 0.348235i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.139680 | − | 0.364654i | 0.00854830 | − | 0.0223165i | ||||
\(268\) | −5.48345 | + | 9.49761i | −0.334955 | + | 0.580159i | ||||
\(269\) | 13.4451 | − | 23.2877i | 0.819765 | − | 1.41987i | −0.0860906 | − | 0.996287i | \(-0.527437\pi\) |
0.905855 | − | 0.423587i | \(-0.139229\pi\) | |||||||
\(270\) | −0.830095 | + | 16.5130i | −0.0505180 | + | 1.00495i | ||||
\(271\) | 11.1082 | + | 19.2400i | 0.674776 | + | 1.16875i | 0.976534 | + | 0.215362i | \(0.0690930\pi\) |
−0.301759 | + | 0.953384i | \(0.597574\pi\) | |||||||
\(272\) | 0.760877 | + | 1.31788i | 0.0461349 | + | 0.0799080i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.37072 | − | 2.37416i | 0.0828084 | − | 0.143428i | ||||
\(275\) | 16.3067 | 0.983331 | ||||||||
\(276\) | 1.38727 | − | 3.62167i | 0.0835041 | − | 0.217999i | ||||
\(277\) | −14.6375 | −0.879482 | −0.439741 | − | 0.898125i | \(-0.644930\pi\) | ||||
−0.439741 | + | 0.898125i | \(0.644930\pi\) | |||||||
\(278\) | −3.98345 | − | 6.89953i | −0.238911 | − | 0.413807i | ||||
\(279\) | 26.8675 | − | 8.77202i | 1.60851 | − | 0.525167i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 11.6992 | + | 20.2636i | 0.697915 | + | 1.20882i | 0.969188 | + | 0.246322i | \(0.0792219\pi\) |
−0.271273 | + | 0.962502i | \(0.587445\pi\) | |||||||
\(282\) | −3.61109 | + | 9.42724i | −0.215037 | + | 0.561384i | ||||
\(283\) | −13.0624 | − | 22.6247i | −0.776478 | − | 1.34490i | −0.933960 | − | 0.357377i | \(-0.883671\pi\) |
0.157482 | − | 0.987522i | \(-0.449662\pi\) | |||||||
\(284\) | −4.34501 | − | 7.52578i | −0.257829 | − | 0.446573i | ||||
\(285\) | −2.52859 | + | 6.60123i | −0.149781 | + | 0.391023i | ||||
\(286\) | 9.07442 | + | 15.7174i | 0.536582 | + | 0.929387i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −2.85185 | + | 0.931107i | −0.168047 | + | 0.0548660i | ||||
\(289\) | 7.34213 | + | 12.7169i | 0.431890 | + | 0.748056i | ||||
\(290\) | −22.5322 | −1.32313 | ||||||||
\(291\) | 9.19562 | − | 24.0064i | 0.539057 | − | 1.40728i | ||||
\(292\) | −4.96690 | −0.290666 | ||||||||
\(293\) | −12.9315 | + | 22.3980i | −0.755465 | + | 1.30850i | 0.189678 | + | 0.981846i | \(0.439255\pi\) |
−0.945143 | + | 0.326657i | \(0.894078\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.78947 | − | 3.09945i | −0.104187 | − | 0.180457i | ||||
\(296\) | −0.500000 | − | 0.866025i | −0.0290619 | − | 0.0503367i | ||||
\(297\) | −14.7157 | + | 7.53762i | −0.853894 | + | 0.437377i | ||||
\(298\) | −11.6300 | + | 20.1437i | −0.673706 | + | 1.16689i | ||||
\(299\) | −6.38564 | + | 11.0603i | −0.369291 | + | 0.639631i | ||||
\(300\) | 3.17511 | − | 8.28905i | 0.183315 | − | 0.478568i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −4.06238 | + | 7.03625i | −0.233764 | + | 0.404891i | ||||
\(303\) | −20.2804 | − | 25.0079i | −1.16508 | − | 1.43667i | ||||
\(304\) | −1.28263 | −0.0735639 | ||||||||
\(305\) | 4.97141 | − | 8.61073i | 0.284662 | − | 0.493049i | ||||
\(306\) | 4.33981 | − | 1.41692i | 0.248090 | − | 0.0809997i | ||||
\(307\) | −3.53216 | −0.201591 | −0.100795 | − | 0.994907i | \(-0.532139\pi\) | ||||
−0.100795 | + | 0.994907i | \(0.532139\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.308342 | + | 0.380217i | 0.0175409 | + | 0.0216298i | ||||
\(310\) | −29.9773 | −1.70260 | ||||||||
\(311\) | 0.851848 | + | 1.47544i | 0.0483039 | + | 0.0836648i | 0.889166 | − | 0.457584i | \(-0.151285\pi\) |
−0.840863 | + | 0.541249i | \(0.817952\pi\) | |||||||
\(312\) | 9.75636 | − | 1.55237i | 0.552345 | − | 0.0878855i | ||||
\(313\) | −1.42107 | + | 2.46136i | −0.0803234 | + | 0.139124i | −0.903389 | − | 0.428822i | \(-0.858929\pi\) |
0.823065 | + | 0.567947i | \(0.192262\pi\) | |||||||
\(314\) | −11.2632 | −0.635619 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.13844 | −0.232805 | ||||||||
\(317\) | 12.4601 | − | 21.5815i | 0.699827 | − | 1.21214i | −0.268700 | − | 0.963224i | \(-0.586594\pi\) |
0.968526 | − | 0.248911i | \(-0.0800728\pi\) | |||||||
\(318\) | 1.27455 | − | 3.32738i | 0.0714732 | − | 0.186590i | ||||
\(319\) | −11.2661 | − | 19.5134i | −0.630779 | − | 1.09254i | ||||
\(320\) | 3.18194 | 0.177876 | ||||||||
\(321\) | −7.04910 | + | 18.4026i | −0.393442 | + | 1.02713i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.95185 | 0.108604 | ||||||||
\(324\) | 0.966208 | + | 8.94799i | 0.0536782 | + | 0.497110i | ||||
\(325\) | −14.6150 | + | 25.3140i | −0.810697 | + | 1.40417i | ||||
\(326\) | −3.98057 | −0.220463 | ||||||||
\(327\) | −7.56238 | + | 1.20328i | −0.418201 | + | 0.0665413i | ||||
\(328\) | −2.80150 | + | 4.85235i | −0.154687 | + | 0.267926i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 17.3187 | − | 2.75564i | 0.953366 | − | 0.151693i | ||||
\(331\) | 3.58577 | − | 6.21074i | 0.197092 | − | 0.341373i | −0.750492 | − | 0.660879i | \(-0.770184\pi\) |
0.947584 | + | 0.319506i | \(0.103517\pi\) | |||||||
\(332\) | 4.03379 | − | 6.98673i | 0.221383 | − | 0.383447i | ||||
\(333\) | −2.85185 | + | 0.931107i | −0.156280 | + | 0.0510244i | ||||
\(334\) | 2.61956 | + | 4.53721i | 0.143336 | + | 0.248265i | ||||
\(335\) | −17.4480 | − | 30.2209i | −0.953287 | − | 1.65114i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −10.9211 | + | 18.9158i | −0.594908 | + | 1.03041i | 0.398651 | + | 0.917103i | \(0.369478\pi\) |
−0.993560 | + | 0.113309i | \(0.963855\pi\) | |||||||
\(338\) | −19.5322 | −1.06241 | ||||||||
\(339\) | −5.49944 | + | 0.875035i | −0.298689 | + | 0.0475254i | ||||
\(340\) | −4.84213 | −0.262602 | ||||||||
\(341\) | −14.9887 | − | 25.9611i | −0.811681 | − | 1.40587i | ||||
\(342\) | −0.794668 | + | 3.76494i | −0.0429707 | + | 0.203585i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −3.41423 | − | 5.91362i | −0.184083 | − | 0.318841i | ||||
\(345\) | 7.77292 | + | 9.58481i | 0.418480 | + | 0.516029i | ||||
\(346\) | −1.27579 | − | 2.20974i | −0.0685871 | − | 0.118796i | ||||
\(347\) | 1.05555 | + | 1.82826i | 0.0566646 | + | 0.0981460i | 0.892966 | − | 0.450124i | \(-0.148620\pi\) |
−0.836302 | + | 0.548270i | \(0.815287\pi\) | |||||||
\(348\) | −12.1127 | + | 1.92730i | −0.649310 | + | 0.103314i | ||||
\(349\) | −18.1082 | − | 31.3643i | −0.969310 | − | 1.67889i | −0.697559 | − | 0.716527i | \(-0.745731\pi\) |
−0.271751 | − | 0.962368i | \(-0.587603\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.48796 | − | 29.5999i | 0.0794215 | − | 1.57993i | ||||
\(352\) | 1.59097 | + | 2.75564i | 0.0847991 | + | 0.146876i | ||||
\(353\) | 10.4887 | 0.558255 | 0.279127 | − | 0.960254i | \(-0.409955\pi\) | ||||
0.279127 | + | 0.960254i | \(0.409955\pi\) | |||||||
\(354\) | −1.22708 | − | 1.51312i | −0.0652188 | − | 0.0804216i | ||||
\(355\) | 27.6512 | 1.46757 | ||||||||
\(356\) | −0.112725 | + | 0.195246i | −0.00597442 | + | 0.0103480i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.51887 | − | 6.09487i | −0.185978 | − | 0.322124i | ||||
\(359\) | 16.2209 | + | 28.0955i | 0.856108 | + | 1.48282i | 0.875613 | + | 0.483013i | \(0.160458\pi\) |
−0.0195047 | + | 0.999810i | \(0.506209\pi\) | |||||||
\(360\) | 1.97141 | − | 9.34004i | 0.103902 | − | 0.492264i | ||||
\(361\) | 8.67743 | − | 15.0297i | 0.456707 | − | 0.791039i | ||||
\(362\) | 6.48345 | − | 11.2297i | 0.340762 | − | 0.590218i | ||||
\(363\) | −0.954858 | − | 1.17744i | −0.0501171 | − | 0.0617995i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 7.90219 | − | 13.6870i | 0.413620 | − | 0.716410i | ||||
\(366\) | 1.93598 | − | 5.05415i | 0.101195 | − | 0.264185i | ||||
\(367\) | 18.1111 | 0.945391 | 0.472696 | − | 0.881226i | \(-0.343281\pi\) | ||||
0.472696 | + | 0.881226i | \(0.343281\pi\) | |||||||
\(368\) | −1.11956 | + | 1.93914i | −0.0583612 | + | 0.101085i | ||||
\(369\) | 12.5075 | + | 11.2297i | 0.651116 | + | 0.584593i | ||||
\(370\) | 3.18194 | 0.165421 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −16.1150 | + | 2.56412i | −0.835526 | + | 0.132943i | ||||
\(373\) | −11.6706 | −0.604280 | −0.302140 | − | 0.953263i | \(-0.597701\pi\) | ||||
−0.302140 | + | 0.953263i | \(0.597701\pi\) | |||||||
\(374\) | −2.42107 | − | 4.19341i | −0.125190 | − | 0.216836i | ||||
\(375\) | 0.433105 | + | 0.534063i | 0.0223654 | + | 0.0275789i | ||||
\(376\) | 2.91423 | − | 5.04759i | 0.150290 | − | 0.260310i | ||||
\(377\) | 40.3893 | 2.08016 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 14.2690 | 0.732947 | 0.366474 | − | 0.930428i | \(-0.380565\pi\) | ||||
0.366474 | + | 0.930428i | \(0.380565\pi\) | |||||||
\(380\) | 2.04063 | − | 3.53447i | 0.104682 | − | 0.181315i | ||||
\(381\) | 21.9343 | + | 27.0473i | 1.12373 | + | 1.38568i | ||||
\(382\) | 0.990285 | + | 1.71522i | 0.0506674 | + | 0.0877585i | ||||
\(383\) | 1.64979 | 0.0843001 | 0.0421501 | − | 0.999111i | \(-0.486579\pi\) | ||||
0.0421501 | + | 0.999111i | \(0.486579\pi\) | |||||||
\(384\) | 1.71053 | − | 0.272169i | 0.0872903 | − | 0.0138891i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4.54583 | 0.231377 | ||||||||
\(387\) | −19.4737 | + | 6.35803i | −0.989905 | + | 0.323197i | ||||
\(388\) | −7.42107 | + | 12.8537i | −0.376748 | + | 0.652546i | ||||
\(389\) | −32.0676 | −1.62589 | −0.812946 | − | 0.582340i | \(-0.802137\pi\) | ||||
−0.812946 | + | 0.582340i | \(0.802137\pi\) | |||||||
\(390\) | −11.2443 | + | 29.3548i | −0.569379 | + | 1.48644i | ||||
\(391\) | 1.70370 | − | 2.95089i | 0.0861596 | − | 0.149233i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −6.94282 | − | 8.56122i | −0.350219 | − | 0.431856i | ||||
\(394\) | −10.9074 | + | 18.8922i | −0.549507 | + | 0.951773i | ||||
\(395\) | 6.58414 | − | 11.4041i | 0.331284 | − | 0.573800i | ||||
\(396\) | 9.07442 | − | 2.96273i | 0.456007 | − | 0.148883i | ||||
\(397\) | 18.9669 | + | 32.8516i | 0.951921 | + | 1.64878i | 0.741261 | + | 0.671217i | \(0.234228\pi\) |
0.210660 | + | 0.977559i | \(0.432439\pi\) | |||||||
\(398\) | 6.14132 | + | 10.6371i | 0.307836 | + | 0.533188i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.56238 | + | 4.43818i | −0.128119 | + | 0.221909i | ||||
\(401\) | 10.6192 | 0.530296 | 0.265148 | − | 0.964208i | \(-0.414579\pi\) | ||||
0.265148 | + | 0.964208i | \(0.414579\pi\) | |||||||
\(402\) | −11.9646 | − | 14.7536i | −0.596739 | − | 0.735841i | ||||
\(403\) | 53.7349 | 2.67673 | ||||||||
\(404\) | 9.29467 | + | 16.0988i | 0.462427 | + | 0.800947i | ||||
\(405\) | −26.1947 | − | 11.5735i | −1.30162 | − | 0.575090i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.59097 | + | 2.75564i | 0.0788615 | + | 0.136592i | ||||
\(408\) | −2.60301 | + | 0.414174i | −0.128868 | + | 0.0205047i | ||||
\(409\) | 2.77292 | + | 4.80283i | 0.137112 | + | 0.237485i | 0.926402 | − | 0.376535i | \(-0.122885\pi\) |
−0.789290 | + | 0.614020i | \(0.789551\pi\) | |||||||
\(410\) | −8.91423 | − | 15.4399i | −0.440242 | − | 0.762522i | ||||
\(411\) | 2.99084 | + | 3.68802i | 0.147527 | + | 0.181916i | ||||
\(412\) | −0.141315 | − | 0.244765i | −0.00696209 | − | 0.0120587i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 4.99837 | + | 4.48769i | 0.245656 | + | 0.220558i | ||||
\(415\) | 12.8353 | + | 22.2314i | 0.630060 | + | 1.09130i | ||||
\(416\) | −5.70370 | −0.279647 | ||||||||
\(417\) | 13.6276 | − | 2.16834i | 0.667349 | − | 0.106184i | ||||
\(418\) | 4.08126 | 0.199621 | ||||||||
\(419\) | −2.77455 | + | 4.80566i | −0.135546 | + | 0.234772i | −0.925806 | − | 0.378000i | \(-0.876612\pi\) |
0.790260 | + | 0.612772i | \(0.209945\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.42107 | − | 5.92546i | −0.166733 | − | 0.288789i | 0.770537 | − | 0.637396i | \(-0.219988\pi\) |
−0.937269 | + | 0.348606i | \(0.886655\pi\) | |||||||
\(422\) | 8.32846 | + | 14.4253i | 0.405423 | + | 0.702213i | ||||
\(423\) | −13.0108 | − | 11.6815i | −0.632606 | − | 0.567975i | ||||
\(424\) | −1.02859 | + | 1.78157i | −0.0499527 | + | 0.0865207i | ||||
\(425\) | 3.89931 | − | 6.75381i | 0.189144 | − | 0.327608i | ||||
\(426\) | 14.8646 | − | 2.36515i | 0.720191 | − | 0.114592i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 5.68878 | − | 9.85326i | 0.274978 | − | 0.476275i | ||||
\(429\) | −31.0442 | + | 4.93955i | −1.49883 | + | 0.238484i | ||||
\(430\) | 21.7278 | 1.04781 | ||||||||
\(431\) | 16.5539 | − | 28.6722i | 0.797374 | − | 1.38109i | −0.123947 | − | 0.992289i | \(-0.539555\pi\) |
0.921321 | − | 0.388803i | \(-0.127111\pi\) | |||||||
\(432\) | 0.260877 | − | 5.18960i | 0.0125514 | − | 0.249685i | ||||
\(433\) | 12.1111 | 0.582022 | 0.291011 | − | 0.956720i | \(-0.406008\pi\) | ||||
0.291011 | + | 0.956720i | \(0.406008\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 13.9601 | − | 36.4446i | 0.669334 | − | 1.74739i | ||||
\(436\) | 4.42107 | 0.211731 | ||||||||
\(437\) | 1.43598 | + | 2.48720i | 0.0686924 | + | 0.118979i | ||||
\(438\) | 3.07730 | − | 8.03371i | 0.147039 | − | 0.383865i | ||||
\(439\) | −4.41711 | + | 7.65066i | −0.210817 | + | 0.365146i | −0.951970 | − | 0.306190i | \(-0.900946\pi\) |
0.741153 | + | 0.671336i | \(0.234279\pi\) | |||||||
\(440\) | −10.1248 | −0.482679 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 8.67962 | 0.412847 | ||||||||
\(443\) | −8.75924 | + | 15.1715i | −0.416164 | + | 0.720817i | −0.995550 | − | 0.0942360i | \(-0.969959\pi\) |
0.579386 | + | 0.815053i | \(0.303292\pi\) | |||||||
\(444\) | 1.71053 | − | 0.272169i | 0.0811783 | − | 0.0129166i | ||||
\(445\) | −0.358685 | − | 0.621261i | −0.0170033 | − | 0.0294506i | ||||
\(446\) | 10.6569 | 0.504620 | ||||||||
\(447\) | −25.3759 | − | 31.2911i | −1.20024 | − | 1.48002i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 31.2301 | 1.47384 | 0.736920 | − | 0.675980i | \(-0.236280\pi\) | ||||
0.736920 | + | 0.675980i | \(0.236280\pi\) | |||||||
\(450\) | 11.4399 | + | 10.2712i | 0.539284 | + | 0.484187i | ||||
\(451\) | 8.91423 | − | 15.4399i | 0.419755 | − | 0.727036i | ||||
\(452\) | 3.21505 | 0.151223 | ||||||||
\(453\) | −8.86389 | − | 10.9301i | −0.416462 | − | 0.513540i | ||||
\(454\) | 7.25404 | − | 12.5644i | 0.340449 | − | 0.589675i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0.794668 | − | 2.07459i | 0.0372138 | − | 0.0971516i | ||||
\(457\) | 16.0624 | − | 27.8209i | 0.751367 | − | 1.30140i | −0.195794 | − | 0.980645i | \(-0.562728\pi\) |
0.947161 | − | 0.320760i | \(-0.103938\pi\) | |||||||
\(458\) | −5.12476 | + | 8.87635i | −0.239464 | + | 0.414765i | ||||
\(459\) | −0.396990 | + | 7.89729i | −0.0185299 | + | 0.368614i | ||||
\(460\) | −3.56238 | − | 6.17023i | −0.166097 | − | 0.287688i | ||||
\(461\) | −1.23229 | − | 2.13438i | −0.0573933 | − | 0.0994081i | 0.835901 | − | 0.548880i | \(-0.184946\pi\) |
−0.893295 | + | 0.449472i | \(0.851612\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.1735 | − | 26.2812i | 0.705171 | − | 1.22139i | −0.261459 | − | 0.965215i | \(-0.584204\pi\) |
0.966630 | − | 0.256177i | \(-0.0824631\pi\) | |||||||
\(464\) | 7.08126 | 0.328739 | ||||||||
\(465\) | 18.5728 | − | 48.4868i | 0.861292 | − | 2.24852i | ||||
\(466\) | 1.08126 | 0.0500882 | ||||||||
\(467\) | 7.98181 | + | 13.8249i | 0.369354 | + | 0.639740i | 0.989465 | − | 0.144774i | \(-0.0462456\pi\) |
−0.620110 | + | 0.784515i | \(0.712912\pi\) | |||||||
\(468\) | −3.53379 | + | 16.7422i | −0.163350 | + | 0.773909i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 9.27292 | + | 16.0612i | 0.427728 | + | 0.740846i | ||||
\(471\) | 6.97825 | − | 18.2177i | 0.321541 | − | 0.839425i | ||||
\(472\) | 0.562382 | + | 0.974074i | 0.0258857 | + | 0.0448354i | ||||
\(473\) | 10.8639 | + | 18.8168i | 0.499522 | + | 0.865198i | ||||
\(474\) | 2.56402 | − | 6.69371i | 0.117769 | − | 0.307452i | ||||
\(475\) | 3.28659 | + | 5.69254i | 0.150799 | + | 0.261192i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.59222 | + | 4.12304i | 0.210263 | + | 0.188781i | ||||
\(478\) | 6.16019 | + | 10.6698i | 0.281761 | + | 0.488024i | ||||
\(479\) | 23.1729 | 1.05880 | 0.529399 | − | 0.848373i | \(-0.322418\pi\) | ||||
0.529399 | + | 0.848373i | \(0.322418\pi\) | |||||||
\(480\) | −1.97141 | + | 5.14663i | −0.0899821 | + | 0.234911i | ||||
\(481\) | −5.70370 | −0.260066 | ||||||||
\(482\) | 6.50000 | − | 11.2583i | 0.296067 | − | 0.512803i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.437618 | + | 0.757977i | 0.0198917 | + | 0.0344535i | ||||
\(485\) | −23.6134 | − | 40.8996i | −1.07223 | − | 1.85716i | ||||
\(486\) | −15.0715 | − | 3.98104i | −0.683659 | − | 0.180583i | ||||
\(487\) | 1.70658 | − | 2.95588i | 0.0773323 | − | 0.133943i | −0.824766 | − | 0.565474i | \(-0.808693\pi\) |
0.902098 | + | 0.431531i | \(0.142026\pi\) | |||||||
\(488\) | −1.56238 | + | 2.70612i | −0.0707257 | + | 0.122500i | ||||
\(489\) | 2.46621 | − | 6.43837i | 0.111526 | − | 0.291153i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −9.58414 | + | 16.6002i | −0.432526 | + | 0.749157i | −0.997090 | − | 0.0762323i | \(-0.975711\pi\) |
0.564564 | + | 0.825389i | \(0.309044\pi\) | |||||||
\(492\) | −6.11273 | − | 7.53762i | −0.275583 | − | 0.339822i | ||||
\(493\) | −10.7759 | −0.485323 | ||||||||
\(494\) | −3.65787 | + | 6.33561i | −0.164575 | + | 0.285053i | ||||
\(495\) | −6.27292 | + | 29.7195i | −0.281947 | + | 1.33579i | ||||
\(496\) | 9.42107 | 0.423018 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 8.80150 | + | 10.8532i | 0.394405 | + | 0.486342i | ||||
\(499\) | 41.1696 | 1.84301 | 0.921503 | − | 0.388371i | \(-0.126962\pi\) | ||||
0.921503 | + | 0.388371i | \(0.126962\pi\) | |||||||
\(500\) | −0.198495 | − | 0.343803i | −0.00887697 | − | 0.0153754i | ||||
\(501\) | −8.96169 | + | 1.42593i | −0.400379 | + | 0.0637056i | ||||
\(502\) | −2.55555 | + | 4.42633i | −0.114060 | + | 0.197557i | ||||
\(503\) | 26.4542 | 1.17953 | 0.589767 | − | 0.807574i | \(-0.299220\pi\) | ||||
0.589767 | + | 0.807574i | \(0.299220\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −59.1502 | −2.63215 | ||||||||
\(506\) | 3.56238 | − | 6.17023i | 0.158367 | − | 0.274300i | ||||
\(507\) | 12.1014 | − | 31.5923i | 0.537441 | − | 1.40306i | ||||
\(508\) | −10.0527 | − | 17.4117i | −0.446015 | − | 0.772521i | ||||
\(509\) | −12.7713 | −0.566077 | −0.283039 | − | 0.959109i | \(-0.591342\pi\) | ||||
−0.283039 | + | 0.959109i | \(0.591342\pi\) | |||||||
\(510\) | 3.00000 | − | 7.83191i | 0.132842 | − | 0.346803i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −5.59725 | − | 3.61795i | −0.247125 | − | 0.159736i | ||||
\(514\) | −3.83009 | + | 6.63392i | −0.168938 | + | 0.292610i | ||||
\(515\) | 0.899313 | 0.0396285 | ||||||||
\(516\) | 11.6803 | − | 1.85849i | 0.514197 | − | 0.0818156i | ||||
\(517\) | −9.27292 | + | 16.0612i | −0.407822 | + | 0.706369i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 4.36458 | − | 0.694462i | 0.191584 | − | 0.0304835i | ||||
\(520\) | 9.07442 | − | 15.7174i | 0.397940 | − | 0.689252i | ||||
\(521\) | 3.40615 | − | 5.89962i | 0.149226 | − | 0.258467i | −0.781716 | − | 0.623635i | \(-0.785655\pi\) |
0.930942 | + | 0.365168i | \(0.118988\pi\) | |||||||
\(522\) | 4.38727 | − | 20.7858i | 0.192026 | − | 0.909770i | ||||
\(523\) | −14.7535 | − | 25.5538i | −0.645125 | − | 1.11739i | −0.984273 | − | 0.176656i | \(-0.943472\pi\) |
0.339148 | − | 0.940733i | \(-0.389861\pi\) | |||||||
\(524\) | 3.18194 | + | 5.51129i | 0.139004 | + | 0.240762i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.54746 | + | 2.68029i | −0.0674727 | + | 0.116866i | ||||
\(527\) | −14.3365 | −0.624510 | ||||||||
\(528\) | −5.44282 | + | 0.866025i | −0.236868 | + | 0.0376889i | ||||
\(529\) | −17.9863 | −0.782014 | ||||||||
\(530\) | −3.27292 | − | 5.66886i | −0.142166 | − | 0.246239i | ||||
\(531\) | 3.20765 | − | 1.04728i | 0.139200 | − | 0.0454479i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 15.9789 | + | 27.6763i | 0.692125 | + | 1.19879i | ||||
\(534\) | −0.245960 | − | 0.303294i | −0.0106437 | − | 0.0131248i | ||||
\(535\) | 18.1014 | + | 31.3525i | 0.782591 | + | 1.35549i | ||||
\(536\) | 5.48345 | + | 9.49761i | 0.236849 | + | 0.410234i | ||||
\(537\) | 12.0383 | − | 1.91546i | 0.519491 | − | 0.0826580i | ||||
\(538\) | −13.4451 | − | 23.2877i | −0.579661 | − | 1.00400i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 13.8856 | + | 8.97539i | 0.597543 | + | 0.386239i | ||||
\(541\) | 14.7008 | + | 25.4626i | 0.632038 | + | 1.09472i | 0.987135 | + | 0.159892i | \(0.0511145\pi\) |
−0.355097 | + | 0.934829i | \(0.615552\pi\) | |||||||
\(542\) | 22.2164 | 0.954277 | ||||||||
\(543\) | 14.1465 | + | 17.4441i | 0.607085 | + | 0.748599i | ||||
\(544\) | 1.52175 | 0.0652446 | ||||||||
\(545\) | −7.03379 | + | 12.1829i | −0.301295 | + | 0.521857i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 17.6150 | + | 30.5102i | 0.753165 | + | 1.30452i | 0.946281 | + | 0.323344i | \(0.104807\pi\) |
−0.193116 | + | 0.981176i | \(0.561859\pi\) | |||||||
\(548\) | −1.37072 | − | 2.37416i | −0.0585544 | − | 0.101419i | ||||
\(549\) | 6.97537 | + | 6.26271i | 0.297701 | + | 0.267286i | ||||
\(550\) | 8.15335 | − | 14.1220i | 0.347660 | − | 0.602165i | ||||
\(551\) | 4.54132 | − | 7.86579i | 0.193467 | − | 0.335094i | ||||
\(552\) | −2.44282 | − | 3.01225i | −0.103973 | − | 0.128210i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −7.31875 | + | 12.6764i | −0.310944 | + | 0.538570i | ||||
\(555\) | −1.97141 | + | 5.14663i | −0.0836817 | + | 0.218462i | ||||
\(556\) | −7.96690 | −0.337872 | ||||||||
\(557\) | −3.36909 | + | 5.83543i | −0.142753 | + | 0.247255i | −0.928532 | − | 0.371252i | \(-0.878929\pi\) |
0.785779 | + | 0.618507i | \(0.212262\pi\) | |||||||
\(558\) | 5.83693 | − | 27.6539i | 0.247097 | − | 1.17068i | ||||
\(559\) | −38.9475 | −1.64730 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 8.28263 | − | 1.31788i | 0.349693 | − | 0.0556408i | ||||
\(562\) | 23.3984 | 0.987001 | ||||||||
\(563\) | −0.729964 | − | 1.26433i | −0.0307643 | − | 0.0532853i | 0.850233 | − | 0.526406i | \(-0.176461\pi\) |
−0.880998 | + | 0.473121i | \(0.843127\pi\) | |||||||
\(564\) | 6.35868 | + | 7.84092i | 0.267749 | + | 0.330162i | ||||
\(565\) | −5.11505 | + | 8.85952i | −0.215192 | + | 0.372723i | ||||
\(566\) | −26.1248 | −1.09811 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −8.69002 | −0.364625 | ||||||||
\(569\) | −9.78263 | + | 16.9440i | −0.410109 | + | 0.710330i | −0.994901 | − | 0.100853i | \(-0.967843\pi\) |
0.584792 | + | 0.811183i | \(0.301176\pi\) | |||||||
\(570\) | 4.45254 | + | 5.49044i | 0.186496 | + | 0.229969i | ||||
\(571\) | 10.9629 | + | 18.9884i | 0.458785 | + | 0.794638i | 0.998897 | − | 0.0469545i | \(-0.0149516\pi\) |
−0.540112 | + | 0.841593i | \(0.681618\pi\) | |||||||
\(572\) | 18.1488 | 0.758841 | ||||||||
\(573\) | −3.38783 | + | 0.539049i | −0.141529 | + | 0.0225191i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 11.4750 | 0.478540 | ||||||||
\(576\) | −0.619562 | + | 2.93533i | −0.0258151 | + | 0.122305i | ||||
\(577\) | −12.3655 | + | 21.4177i | −0.514783 | + | 0.891631i | 0.485069 | + | 0.874476i | \(0.338794\pi\) |
−0.999853 | + | 0.0171554i | \(0.994539\pi\) | |||||||
\(578\) | 14.6843 | 0.610785 | ||||||||
\(579\) | −2.81642 | + | 7.35265i | −0.117046 | + | 0.305566i | ||||
\(580\) | −11.2661 | + | 19.5134i | −0.467798 | + | 0.810251i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −16.1923 | − | 19.9668i | −0.671194 | − | 0.827652i | ||||
\(583\) | 3.27292 | − | 5.66886i | 0.135550 | − | 0.234780i | ||||
\(584\) | −2.48345 | + | 4.30146i | −0.102766 | + | 0.177996i | ||||
\(585\) | −40.5134 | − | 36.3743i | −1.67502 | − | 1.50389i | ||||
\(586\) | 12.9315 | + | 22.3980i | 0.534194 | + | 0.925251i | ||||
\(587\) | 18.0796 | + | 31.3148i | 0.746226 | + | 1.29250i | 0.949620 | + | 0.313404i | \(0.101469\pi\) |
−0.203394 | + | 0.979097i | \(0.565197\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 6.04187 | − | 10.4648i | 0.248951 | − | 0.431196i | ||||
\(590\) | −3.57893 | −0.147342 | ||||||||
\(591\) | −23.7993 | − | 29.3470i | −0.978973 | − | 1.20717i | ||||
\(592\) | −1.00000 | −0.0410997 | ||||||||
\(593\) | 7.55391 | + | 13.0838i | 0.310202 | + | 0.537285i | 0.978406 | − | 0.206693i | \(-0.0662700\pi\) |
−0.668204 | + | 0.743978i | \(0.732937\pi\) | |||||||
\(594\) | −0.830095 | + | 16.5130i | −0.0340592 | + | 0.677537i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 11.6300 | + | 20.1437i | 0.476382 | + | 0.825118i | ||||
\(597\) | −21.0098 | + | 3.34295i | −0.859876 | + | 0.136818i | ||||
\(598\) | 6.38564 | + | 11.0603i | 0.261128 | + | 0.452287i | ||||
\(599\) | 2.72708 | + | 4.72345i | 0.111426 | + | 0.192995i | 0.916345 | − | 0.400389i | \(-0.131125\pi\) |
−0.804920 | + | 0.593384i | \(0.797792\pi\) | |||||||
\(600\) | −5.59097 | − | 6.89425i | −0.228250 | − | 0.281456i | ||||
\(601\) | 3.36840 | + | 5.83424i | 0.137400 | + | 0.237984i | 0.926512 | − | 0.376266i | \(-0.122792\pi\) |
−0.789112 | + | 0.614250i | \(0.789459\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 31.2759 | − | 10.2114i | 1.27365 | − | 0.415839i | ||||
\(604\) | 4.06238 | + | 7.03625i | 0.165296 | + | 0.286301i | ||||
\(605\) | −2.78495 | −0.113224 | ||||||||
\(606\) | −31.7977 | + | 5.05944i | −1.29169 | + | 0.205526i | ||||
\(607\) | −6.67059 | −0.270751 | −0.135376 | − | 0.990794i | \(-0.543224\pi\) | ||||
−0.135376 | + | 0.990794i | \(0.543224\pi\) | |||||||
\(608\) | −0.641315 | + | 1.11079i | −0.0260088 | + | 0.0450485i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.97141 | − | 8.61073i | −0.201287 | − | 0.348638i | ||||
\(611\) | −16.6219 | − | 28.7899i | −0.672449 | − | 1.16472i | ||||
\(612\) | 0.942820 | − | 4.46684i | 0.0381112 | − | 0.180561i | ||||
\(613\) | 0.654988 | − | 1.13447i | 0.0264547 | − | 0.0458209i | −0.852495 | − | 0.522735i | \(-0.824912\pi\) |
0.878950 | + | 0.476915i | \(0.158245\pi\) | |||||||
\(614\) | −1.76608 | + | 3.05894i | −0.0712731 | + | 0.123449i | ||||
\(615\) | 30.4962 | − | 4.85235i | 1.22972 | − | 0.195666i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 17.2483 | − | 29.8749i | 0.694390 | − | 1.20272i | −0.275996 | − | 0.961159i | \(-0.589008\pi\) |
0.970386 | − | 0.241560i | \(-0.0776589\pi\) | |||||||
\(618\) | 0.483448 | − | 0.0769231i | 0.0194471 | − | 0.00309430i | ||||
\(619\) | 16.4484 | 0.661118 | 0.330559 | − | 0.943785i | \(-0.392763\pi\) | ||||
0.330559 | + | 0.943785i | \(0.392763\pi\) | |||||||
\(620\) | −14.9887 | + | 25.9611i | −0.601959 | + | 1.04262i | ||||
\(621\) | −10.3554 | + | 5.30420i | −0.415549 | + | 0.212850i | ||||
\(622\) | 1.70370 | 0.0683120 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 3.53379 | − | 9.22544i | 0.141465 | − | 0.369313i | ||||
\(625\) | −24.3606 | −0.974425 | ||||||||
\(626\) | 1.42107 | + | 2.46136i | 0.0567972 | + | 0.0983757i | ||||
\(627\) | −2.52859 | + | 6.60123i | −0.100982 | + | 0.263628i | ||||
\(628\) | −5.63160 | + | 9.75422i | −0.224725 | + | 0.389236i | ||||
\(629\) | 1.52175 | 0.0606763 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −30.0118 | −1.19475 | −0.597375 | − | 0.801962i | \(-0.703790\pi\) | ||||
−0.597375 | + | 0.801962i | \(0.703790\pi\) | |||||||
\(632\) | −2.06922 | + | 3.58399i | −0.0823091 | + | 0.142564i | ||||
\(633\) | −28.4922 | + | 4.53349i | −1.13246 | + | 0.180190i | ||||
\(634\) | −12.4601 | − | 21.5815i | −0.494852 | − | 0.857109i | ||||
\(635\) | 63.9740 | 2.53873 | ||||||||
\(636\) | −2.24433 | − | 2.76748i | −0.0889933 | − | 0.109738i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −22.5322 | −0.892057 | ||||||||
\(639\) | −5.38401 | + | 25.5081i | −0.212988 | + | 1.00908i | ||||
\(640\) | 1.59097 | − | 2.75564i | 0.0628887 | − | 0.108926i | ||||
\(641\) | 27.8993 | 1.10196 | 0.550978 | − | 0.834520i | \(-0.314255\pi\) | ||||
0.550978 | + | 0.834520i | \(0.314255\pi\) | |||||||
\(642\) | 12.4126 | + | 15.3060i | 0.489886 | + | 0.604080i | ||||
\(643\) | −14.2524 | + | 24.6859i | −0.562060 | + | 0.973516i | 0.435257 | + | 0.900306i | \(0.356658\pi\) |
−0.997317 | + | 0.0732100i | \(0.976676\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −13.4617 | + | 35.1436i | −0.530054 | + | 1.38378i | ||||
\(646\) | 0.975923 | − | 1.69035i | 0.0383972 | − | 0.0665059i | ||||
\(647\) | −8.35705 | + | 14.4748i | −0.328550 | + | 0.569065i | −0.982224 | − | 0.187711i | \(-0.939893\pi\) |
0.653675 | + | 0.756776i | \(0.273226\pi\) | |||||||
\(648\) | 8.23229 | + | 3.63723i | 0.323395 | + | 0.142884i | ||||
\(649\) | −1.78947 | − | 3.09945i | −0.0702427 | − | 0.121664i | ||||
\(650\) | 14.6150 | + | 25.3140i | 0.573249 | + | 0.992897i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.99028 | + | 3.44727i | −0.0779456 | + | 0.135006i | ||||
\(653\) | 38.1650 | 1.49351 | 0.746756 | − | 0.665098i | \(-0.231610\pi\) | ||||
0.746756 | + | 0.665098i | \(0.231610\pi\) | |||||||
\(654\) | −2.73912 | + | 7.15085i | −0.107108 | + | 0.279620i | ||||
\(655\) | −20.2495 | −0.791214 | ||||||||
\(656\) | 2.80150 | + | 4.85235i | 0.109380 | + | 0.189452i | ||||
\(657\) | 11.0875 | + | 9.95475i | 0.432566 | + | 0.388372i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 4.37072 | + | 7.57031i | 0.170259 | + | 0.294898i | 0.938510 | − | 0.345251i | \(-0.112206\pi\) |
−0.768251 | + | 0.640148i | \(0.778873\pi\) | |||||||
\(660\) | 6.27292 | − | 16.3763i | 0.244173 | − | 0.637446i | ||||
\(661\) | −10.0419 | − | 17.3930i | −0.390584 | − | 0.676511i | 0.601943 | − | 0.798539i | \(-0.294393\pi\) |
−0.992527 | + | 0.122028i | \(0.961060\pi\) | |||||||
\(662\) | −3.58577 | − | 6.21074i | −0.139365 | − | 0.241387i | ||||
\(663\) | −5.37756 | + | 14.0388i | −0.208847 | + | 0.545224i | ||||
\(664\) | −4.03379 | − | 6.98673i | −0.156541 | − | 0.271138i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.619562 | + | 2.93533i | −0.0240075 | + | 0.113742i | ||||
\(667\) | −7.92790 | − | 13.7315i | −0.306970 | − | 0.531687i | ||||
\(668\) | 5.23912 | 0.202708 | ||||||||
\(669\) | −6.60262 | + | 17.2370i | −0.255272 | + | 0.666422i | ||||
\(670\) | −34.8960 | −1.34815 | ||||||||
\(671\) | 4.97141 | − | 8.61073i | 0.191919 | − | 0.332414i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.0264 | − | 29.4906i | −0.656319 | − | 1.13678i | −0.981561 | − | 0.191148i | \(-0.938779\pi\) |
0.325242 | − | 0.945631i | \(-0.394554\pi\) | |||||||
\(674\) | 10.9211 | + | 18.9158i | 0.420664 | + | 0.728611i | ||||
\(675\) | −23.7008 | + | 12.1399i | −0.912245 | + | 0.467266i | ||||
\(676\) | −9.76608 | + | 16.9153i | −0.375618 | + | 0.650590i | ||||
\(677\) | −0.358685 | + | 0.621261i | −0.0137854 | + | 0.0238770i | −0.872836 | − | 0.488014i | \(-0.837721\pi\) |
0.859050 | + | 0.511891i | \(0.171055\pi\) | |||||||
\(678\) | −1.99192 | + | 5.20018i | −0.0764992 | + | 0.199712i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −2.42107 | + | 4.19341i | −0.0928437 | + | 0.160810i | ||||
\(681\) | 15.8279 | + | 19.5174i | 0.606527 | + | 0.747910i | ||||
\(682\) | −29.9773 | −1.14789 | ||||||||
\(683\) | −10.5270 | + | 18.2332i | −0.402803 | + | 0.697675i | −0.994063 | − | 0.108806i | \(-0.965297\pi\) |
0.591260 | + | 0.806481i | \(0.298631\pi\) | |||||||
\(684\) | 2.86320 | + | 2.57067i | 0.109477 | + | 0.0982921i | ||||
\(685\) | 8.72313 | 0.333294 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −11.1819 | − | 13.7885i | −0.426618 | − | 0.526064i | ||||
\(688\) | −6.82846 | −0.260333 | ||||||||
\(689\) | 5.86677 | + | 10.1615i | 0.223506 | + | 0.387124i | ||||
\(690\) | 12.1871 | − | 1.93914i | 0.463957 | − | 0.0738217i | ||||
\(691\) | 2.92395 | − | 5.06442i | 0.111232 | − | 0.192660i | −0.805035 | − | 0.593227i | \(-0.797854\pi\) |
0.916267 | + | 0.400567i | \(0.131187\pi\) | |||||||
\(692\) | −2.55159 | −0.0969968 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.11109 | 0.0801359 | ||||||||
\(695\) | 12.6751 | − | 21.9539i | 0.480794 | − | 0.832760i | ||||
\(696\) | −4.38727 | + | 11.4536i | −0.166299 | + | 0.434147i | ||||
\(697\) | −4.26320 | − | 7.38408i | −0.161480 | − | 0.279692i | ||||
\(698\) | −36.2164 | −1.37081 | ||||||||
\(699\) | −0.669905 | + | 1.74888i | −0.0253381 | + | 0.0661486i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 10.2711 | 0.387935 | 0.193967 | − | 0.981008i | \(-0.437864\pi\) | ||||
0.193967 | + | 0.981008i | \(0.437864\pi\) | |||||||
\(702\) | −24.8903 | − | 16.0886i | −0.939423 | − | 0.607224i | ||||
\(703\) | −0.641315 | + | 1.11079i | −0.0241877 | + | 0.0418942i | ||||
\(704\) | 3.18194 | 0.119924 | ||||||||
\(705\) | −31.7233 | + | 5.04759i | −1.19477 | + | 0.190103i | ||||
\(706\) | 5.24433 | − | 9.08344i | 0.197373 | − | 0.341860i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −1.92395 | + | 0.306125i | −0.0723063 | + | 0.0115049i | ||||
\(709\) | −21.7427 | + | 37.6594i | −0.816564 | + | 1.41433i | 0.0916356 | + | 0.995793i | \(0.470790\pi\) |
−0.908200 | + | 0.418538i | \(0.862543\pi\) | |||||||
\(710\) | 13.8256 | − | 23.9466i | 0.518865 | − | 0.898700i | ||||
\(711\) | 9.23818 | + | 8.29434i | 0.346459 | + | 0.311062i | ||||
\(712\) | 0.112725 | + | 0.195246i | 0.00422455 | + | 0.00731714i | ||||
\(713\) | −10.5475 | − | 18.2687i | −0.395006 | − | 0.684170i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −28.8743 | + | 50.0117i | −1.07984 | + | 1.87033i | ||||
\(716\) | −7.03775 | −0.263013 | ||||||||
\(717\) | −21.0744 | + | 3.35322i | −0.787039 | + | 0.125228i | ||||
\(718\) | 32.4419 | 1.21072 | ||||||||
\(719\) | −25.4412 | − | 44.0654i | −0.948796 | − | 1.64336i | −0.747966 | − | 0.663737i | \(-0.768969\pi\) |
−0.200830 | − | 0.979626i | \(-0.564364\pi\) | |||||||
\(720\) | −7.10301 | − | 6.37731i | −0.264714 | − | 0.237668i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −8.67743 | − | 15.0297i | −0.322941 | − | 0.559349i | ||||
\(723\) | 14.1826 | + | 17.4887i | 0.527458 | + | 0.650410i | ||||
\(724\) | −6.48345 | − | 11.2297i | −0.240955 | − | 0.417347i | ||||
\(725\) | −18.1449 | − | 31.4279i | −0.673884 | − | 1.16720i | ||||
\(726\) | −1.49712 | + | 0.238212i | −0.0555634 | + | 0.00884088i | ||||
\(727\) | −6.07210 | − | 10.5172i | −0.225202 | − | 0.390061i | 0.731178 | − | 0.682186i | \(-0.238971\pi\) |
−0.956380 | + | 0.292126i | \(0.905637\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 15.7769 | − | 21.9110i | 0.584329 | − | 0.811517i | ||||
\(730\) | −7.90219 | − | 13.6870i | −0.292473 | − | 0.506579i | ||||
\(731\) | 10.3912 | 0.384334 | ||||||||
\(732\) | −3.40903 | − | 4.20368i | −0.126001 | − | 0.155373i | ||||
\(733\) | 46.1696 | 1.70531 | 0.852657 | − | 0.522470i | \(-0.174989\pi\) | ||||
0.852657 | + | 0.522470i | \(0.174989\pi\) | |||||||
\(734\) | 9.05555 | − | 15.6847i | 0.334246 | − | 0.578932i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.11956 | + | 1.93914i | 0.0412676 | + | 0.0714776i | ||||
\(737\) | −17.4480 | − | 30.2209i | −0.642706 | − | 1.11320i | ||||
\(738\) | 15.9789 | − | 5.21700i | 0.588193 | − | 0.192041i | ||||
\(739\) | −2.49604 | + | 4.32327i | −0.0918184 | + | 0.159034i | −0.908276 | − | 0.418371i | \(-0.862601\pi\) |
0.816458 | + | 0.577405i | \(0.195935\pi\) | |||||||
\(740\) | 1.59097 | − | 2.75564i | 0.0584853 | − | 0.101299i | ||||
\(741\) | −7.98126 | − | 9.84172i | −0.293199 | − | 0.361545i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −15.7060 | + | 27.2036i | −0.576198 | + | 0.998004i | 0.419712 | + | 0.907657i | \(0.362131\pi\) |
−0.995910 | + | 0.0903470i | \(0.971202\pi\) | |||||||
\(744\) | −5.83693 | + | 15.2381i | −0.213992 | + | 0.558656i | ||||
\(745\) | −74.0118 | −2.71158 | ||||||||
\(746\) | −5.83530 | + | 10.1070i | −0.213645 | + | 0.370045i | ||||
\(747\) | −23.0075 | + | 7.51179i | −0.841801 | + | 0.274842i | ||||
\(748\) | −4.84213 | −0.177046 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0.679065 | − | 0.108048i | 0.0247959 | − | 0.00394536i | ||||
\(751\) | 3.29630 | 0.120284 | 0.0601419 | − | 0.998190i | \(-0.480845\pi\) | ||||
0.0601419 | + | 0.998190i | \(0.480845\pi\) | |||||||
\(752\) | −2.91423 | − | 5.04759i | −0.106271 | − | 0.184067i | ||||
\(753\) | −5.57605 | − | 6.87585i | −0.203203 | − | 0.250570i | ||||
\(754\) | 20.1947 | − | 34.9782i | 0.735447 | − | 1.27383i | ||||
\(755\) | −25.8525 | −0.940870 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −10.1384 | −0.368488 | −0.184244 | − | 0.982881i | \(-0.558984\pi\) | ||||
−0.184244 | + | 0.982881i | \(0.558984\pi\) | |||||||
\(758\) | 7.13448 | − | 12.3573i | 0.259136 | − | 0.448837i | ||||
\(759\) | 7.77292 | + | 9.58481i | 0.282139 | + | 0.347907i | ||||
\(760\) | −2.04063 | − | 3.53447i | −0.0740214 | − | 0.128209i | ||||
\(761\) | −14.0676 | −0.509950 | −0.254975 | − | 0.966948i | \(-0.582067\pi\) | ||||
−0.254975 | + | 0.966948i | \(0.582067\pi\) | |||||||
\(762\) | 34.3908 | − | 5.47204i | 1.24585 | − | 0.198231i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 1.98057 | 0.0716545 | ||||||||
\(765\) | 10.8090 | + | 9.70470i | 0.390801 | + | 0.350874i | ||||
\(766\) | 0.824893 | − | 1.42876i | 0.0298046 | − | 0.0516231i | ||||
\(767\) | 6.41531 | 0.231643 | ||||||||
\(768\) | 0.619562 | − | 1.61745i | 0.0223565 | − | 0.0583647i | ||||
\(769\) | −11.3461 | + | 19.6520i | −0.409151 | + | 0.708669i | −0.994795 | − | 0.101899i | \(-0.967508\pi\) |
0.585644 | + | 0.810568i | \(0.300842\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −8.35705 | − | 10.3051i | −0.300972 | − | 0.371129i | ||||
\(772\) | 2.27292 | − | 3.93680i | 0.0818040 | − | 0.141689i | ||||
\(773\) | −0.327772 | + | 0.567717i | −0.0117891 | + | 0.0204194i | −0.871860 | − | 0.489756i | \(-0.837086\pi\) |
0.860071 | + | 0.510175i | \(0.170419\pi\) | |||||||
\(774\) | −4.23065 | + | 20.0438i | −0.152068 | + | 0.720458i | ||||
\(775\) | −24.1404 | − | 41.8123i | −0.867148 | − | 1.50194i | ||||
\(776\) |