Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [98,2,Mod(15,98)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(98, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("98.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 98 = 2 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 98.e (of order \(7\), 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: | \(0.782533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{7})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 6 x^{17} + 15 x^{16} - 23 x^{15} + 72 x^{14} - 85 x^{13} + 432 x^{12} - 282 x^{11} + 1786 x^{10} - 1092 x^{9} + 7272 x^{8} - 10168 x^{7} + 25378 x^{6} - 43359 x^{5} + \cdots + 729 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 7 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 29.3 | ||
Root | \(0.432251 + 1.89382i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 98.29 |
Dual form | 98.2.e.a.71.3 |
$q$-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 \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{3}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.900969 | − | 0.433884i | −0.637081 | − | 0.306802i | ||||
\(3\) | 0.209730 | + | 0.918888i | 0.121088 | + | 0.530520i | 0.998692 | + | 0.0511341i | \(0.0162836\pi\) |
−0.877604 | + | 0.479386i | \(0.840859\pi\) | |||||||
\(4\) | 0.623490 | + | 0.781831i | 0.311745 | + | 0.390916i | ||||
\(5\) | 0.482195 | + | 2.11264i | 0.215644 | + | 0.944800i | 0.960654 | + | 0.277746i | \(0.0895875\pi\) |
−0.745010 | + | 0.667053i | \(0.767555\pi\) | |||||||
\(6\) | 0.209730 | − | 0.918888i | 0.0856220 | − | 0.375135i | ||||
\(7\) | −2.20649 | + | 1.45993i | −0.833975 | + | 0.551803i | ||||
\(8\) | −0.222521 | − | 0.974928i | −0.0786730 | − | 0.344689i | ||||
\(9\) | 1.90254 | − | 0.916214i | 0.634179 | − | 0.305405i | ||||
\(10\) | 0.482195 | − | 2.11264i | 0.152484 | − | 0.668074i | ||||
\(11\) | 5.45267 | + | 2.62587i | 1.64404 | + | 0.791729i | 0.999634 | + | 0.0270459i | \(0.00861004\pi\) |
0.644407 | + | 0.764683i | \(0.277104\pi\) | |||||||
\(12\) | −0.587651 | + | 0.736891i | −0.169640 | + | 0.212722i | ||||
\(13\) | −3.44948 | − | 1.66118i | −0.956715 | − | 0.460730i | −0.110679 | − | 0.993856i | \(-0.535303\pi\) |
−0.846035 | + | 0.533127i | \(0.821017\pi\) | |||||||
\(14\) | 2.62142 | − | 0.357994i | 0.700604 | − | 0.0956779i | ||||
\(15\) | −1.84015 | + | 0.886167i | −0.475124 | + | 0.228807i | ||||
\(16\) | −0.222521 | + | 0.974928i | −0.0556302 | + | 0.243732i | ||||
\(17\) | 3.15071 | − | 3.95086i | 0.764158 | − | 0.958224i | −0.235749 | − | 0.971814i | \(-0.575754\pi\) |
0.999908 | + | 0.0135895i | \(0.00432581\pi\) | |||||||
\(18\) | −2.11166 | −0.497722 | ||||||||
\(19\) | −5.58902 | −1.28221 | −0.641105 | − | 0.767453i | \(-0.721524\pi\) | ||||
−0.641105 | + | 0.767453i | \(0.721524\pi\) | |||||||
\(20\) | −1.35108 | + | 1.69420i | −0.302111 | + | 0.378835i | ||||
\(21\) | −1.80428 | − | 1.72133i | −0.393727 | − | 0.375624i | ||||
\(22\) | −3.77336 | − | 4.73165i | −0.804484 | − | 1.00879i | ||||
\(23\) | −4.48931 | − | 5.62941i | −0.936085 | − | 1.17381i | −0.984570 | − | 0.174990i | \(-0.944011\pi\) |
0.0484849 | − | 0.998824i | \(-0.484561\pi\) | |||||||
\(24\) | 0.849181 | − | 0.408944i | 0.173338 | − | 0.0834753i | ||||
\(25\) | 0.274126 | − | 0.132012i | 0.0548252 | − | 0.0264024i | ||||
\(26\) | 2.38712 | + | 2.99335i | 0.468152 | + | 0.587044i | ||||
\(27\) | 3.00387 | + | 3.76674i | 0.578095 | + | 0.724909i | ||||
\(28\) | −2.51715 | − | 0.814850i | −0.475696 | − | 0.153992i | ||||
\(29\) | −0.0477725 | + | 0.0599048i | −0.00887113 | + | 0.0111240i | −0.786247 | − | 0.617912i | \(-0.787979\pi\) |
0.777376 | + | 0.629036i | \(0.216550\pi\) | |||||||
\(30\) | 2.04241 | 0.372891 | ||||||||
\(31\) | 0.373710 | 0.0671203 | 0.0335601 | − | 0.999437i | \(-0.489315\pi\) | ||||
0.0335601 | + | 0.999437i | \(0.489315\pi\) | |||||||
\(32\) | 0.623490 | − | 0.781831i | 0.110218 | − | 0.138210i | ||||
\(33\) | −1.26929 | + | 5.56112i | −0.220955 | + | 0.968066i | ||||
\(34\) | −4.55290 | + | 2.19256i | −0.780816 | + | 0.376021i | ||||
\(35\) | −4.14827 | − | 3.95754i | −0.701185 | − | 0.668946i | ||||
\(36\) | 1.90254 | + | 0.916214i | 0.317090 | + | 0.152702i | ||||
\(37\) | 3.74078 | − | 4.69079i | 0.614981 | − | 0.771162i | −0.372648 | − | 0.927973i | \(-0.621550\pi\) |
0.987629 | + | 0.156811i | \(0.0501214\pi\) | |||||||
\(38\) | 5.03553 | + | 2.42499i | 0.816871 | + | 0.393385i | ||||
\(39\) | 0.802981 | − | 3.51809i | 0.128580 | − | 0.563345i | ||||
\(40\) | 1.95237 | − | 0.940211i | 0.308697 | − | 0.148660i | ||||
\(41\) | −0.332469 | − | 1.45664i | −0.0519229 | − | 0.227489i | 0.942308 | − | 0.334746i | \(-0.108650\pi\) |
−0.994231 | + | 0.107257i | \(0.965793\pi\) | |||||||
\(42\) | 0.878747 | + | 2.33371i | 0.135594 | + | 0.360099i | ||||
\(43\) | −0.193538 | + | 0.847945i | −0.0295143 | + | 0.129310i | −0.987539 | − | 0.157376i | \(-0.949697\pi\) |
0.958025 | + | 0.286686i | \(0.0925537\pi\) | |||||||
\(44\) | 1.34670 | + | 5.90027i | 0.203022 | + | 0.889499i | ||||
\(45\) | 2.85302 | + | 3.57758i | 0.425303 | + | 0.533313i | ||||
\(46\) | 1.60222 | + | 7.01976i | 0.236234 | + | 1.03501i | ||||
\(47\) | 4.68600 | + | 2.25666i | 0.683523 | + | 0.329167i | 0.743218 | − | 0.669049i | \(-0.233298\pi\) |
−0.0596949 | + | 0.998217i | \(0.519013\pi\) | |||||||
\(48\) | −0.942519 | −0.136041 | ||||||||
\(49\) | 2.73719 | − | 6.44265i | 0.391028 | − | 0.920379i | ||||
\(50\) | −0.304257 | −0.0430284 | ||||||||
\(51\) | 4.29120 | + | 2.06653i | 0.600888 | + | 0.289372i | ||||
\(52\) | −0.851952 | − | 3.73265i | −0.118145 | − | 0.517625i | ||||
\(53\) | 2.99910 | + | 3.76076i | 0.411959 | + | 0.516580i | 0.943913 | − | 0.330193i | \(-0.107114\pi\) |
−0.531955 | + | 0.846773i | \(0.678542\pi\) | |||||||
\(54\) | −1.07207 | − | 4.69704i | −0.145890 | − | 0.639187i | ||||
\(55\) | −2.91825 | + | 12.7857i | −0.393497 | + | 1.72402i | ||||
\(56\) | 1.91432 | + | 1.82630i | 0.255812 | + | 0.244050i | ||||
\(57\) | −1.17219 | − | 5.13569i | −0.155260 | − | 0.680238i | ||||
\(58\) | 0.0690333 | − | 0.0332447i | 0.00906451 | − | 0.00436524i | ||||
\(59\) | −1.30568 | + | 5.72055i | −0.169985 | + | 0.744753i | 0.816018 | + | 0.578026i | \(0.196177\pi\) |
−0.986003 | + | 0.166727i | \(0.946680\pi\) | |||||||
\(60\) | −1.84015 | − | 0.886167i | −0.237562 | − | 0.114404i | ||||
\(61\) | 4.78657 | − | 6.00217i | 0.612858 | − | 0.768499i | −0.374462 | − | 0.927242i | \(-0.622173\pi\) |
0.987320 | + | 0.158743i | \(0.0507441\pi\) | |||||||
\(62\) | −0.336701 | − | 0.162147i | −0.0427611 | − | 0.0205926i | ||||
\(63\) | −2.86032 | + | 4.79919i | −0.360366 | + | 0.604641i | ||||
\(64\) | −0.900969 | + | 0.433884i | −0.112621 | + | 0.0542355i | ||||
\(65\) | 1.84615 | − | 8.08852i | 0.228987 | − | 1.00326i | ||||
\(66\) | 3.55647 | − | 4.45967i | 0.437771 | − | 0.548947i | ||||
\(67\) | −2.86020 | −0.349429 | −0.174715 | − | 0.984619i | \(-0.555900\pi\) | ||||
−0.174715 | + | 0.984619i | \(0.555900\pi\) | |||||||
\(68\) | 5.05334 | 0.612808 | ||||||||
\(69\) | 4.23126 | − | 5.30583i | 0.509384 | − | 0.638747i | ||||
\(70\) | 2.02035 | + | 5.36548i | 0.241478 | + | 0.641298i | ||||
\(71\) | −2.88060 | − | 3.61215i | −0.341864 | − | 0.428684i | 0.580944 | − | 0.813943i | \(-0.302683\pi\) |
−0.922808 | + | 0.385260i | \(0.874112\pi\) | |||||||
\(72\) | −1.31660 | − | 1.65096i | −0.155162 | − | 0.194568i | ||||
\(73\) | −12.0456 | + | 5.80084i | −1.40983 | + | 0.678937i | −0.975129 | − | 0.221639i | \(-0.928859\pi\) |
−0.434698 | + | 0.900576i | \(0.643145\pi\) | |||||||
\(74\) | −5.40559 | + | 2.60319i | −0.628387 | + | 0.302615i | ||||
\(75\) | 0.178797 | + | 0.224204i | 0.0206457 | + | 0.0258889i | ||||
\(76\) | −3.48470 | − | 4.36967i | −0.399722 | − | 0.501236i | ||||
\(77\) | −15.8648 | + | 2.16658i | −1.80797 | + | 0.246905i | ||||
\(78\) | −2.24990 | + | 2.82129i | −0.254751 | + | 0.319448i | ||||
\(79\) | −7.06624 | −0.795014 | −0.397507 | − | 0.917599i | \(-0.630125\pi\) | ||||
−0.397507 | + | 0.917599i | \(0.630125\pi\) | |||||||
\(80\) | −2.16697 | −0.242274 | ||||||||
\(81\) | 1.11858 | − | 1.40266i | 0.124287 | − | 0.155851i | ||||
\(82\) | −0.332469 | + | 1.45664i | −0.0367150 | + | 0.160859i | ||||
\(83\) | 8.70119 | − | 4.19027i | 0.955079 | − | 0.459942i | 0.109615 | − | 0.993974i | \(-0.465038\pi\) |
0.845464 | + | 0.534032i | \(0.179324\pi\) | |||||||
\(84\) | 0.220835 | − | 2.48387i | 0.0240950 | − | 0.271013i | ||||
\(85\) | 9.86599 | + | 4.75121i | 1.07012 | + | 0.515341i | ||||
\(86\) | 0.542281 | − | 0.679999i | 0.0584757 | − | 0.0733262i | ||||
\(87\) | −0.0650652 | − | 0.0313338i | −0.00697572 | − | 0.00335933i | ||||
\(88\) | 1.34670 | − | 5.90027i | 0.143558 | − | 0.628971i | ||||
\(89\) | −10.7741 | + | 5.18855i | −1.14206 | + | 0.549985i | −0.906638 | − | 0.421909i | \(-0.861360\pi\) |
−0.235418 | + | 0.971894i | \(0.575646\pi\) | |||||||
\(90\) | −1.01823 | − | 4.46116i | −0.107331 | − | 0.470248i | ||||
\(91\) | 10.0365 | − | 1.37063i | 1.05211 | − | 0.143681i | ||||
\(92\) | 1.60222 | − | 7.01976i | 0.167042 | − | 0.731861i | ||||
\(93\) | 0.0783783 | + | 0.343398i | 0.00812745 | + | 0.0356087i | ||||
\(94\) | −3.24281 | − | 4.06636i | −0.334470 | − | 0.419413i | ||||
\(95\) | −2.69500 | − | 11.8076i | −0.276501 | − | 1.21143i | ||||
\(96\) | 0.849181 | + | 0.408944i | 0.0866691 | + | 0.0417377i | ||||
\(97\) | −0.452631 | −0.0459578 | −0.0229789 | − | 0.999736i | \(-0.507315\pi\) | ||||
−0.0229789 | + | 0.999736i | \(0.507315\pi\) | |||||||
\(98\) | −5.26149 | + | 4.61701i | −0.531491 | + | 0.466388i | ||||
\(99\) | 12.7798 | 1.28441 | ||||||||
\(100\) | 0.274126 | + | 0.132012i | 0.0274126 | + | 0.0132012i | ||||
\(101\) | 2.30813 | + | 10.1126i | 0.229668 | + | 1.00624i | 0.949912 | + | 0.312519i | \(0.101173\pi\) |
−0.720244 | + | 0.693721i | \(0.755970\pi\) | |||||||
\(102\) | −2.96960 | − | 3.72376i | −0.294034 | − | 0.368707i | ||||
\(103\) | −1.40916 | − | 6.17394i | −0.138849 | − | 0.608336i | −0.995689 | − | 0.0927543i | \(-0.970433\pi\) |
0.856840 | − | 0.515582i | \(-0.172424\pi\) | |||||||
\(104\) | −0.851952 | + | 3.73265i | −0.0835408 | + | 0.366016i | ||||
\(105\) | 2.76652 | − | 4.64181i | 0.269984 | − | 0.452994i | ||||
\(106\) | −1.07037 | − | 4.68959i | −0.103963 | − | 0.455493i | ||||
\(107\) | −6.79006 | + | 3.26992i | −0.656420 | + | 0.316115i | −0.732280 | − | 0.681003i | \(-0.761544\pi\) |
0.0758605 | + | 0.997118i | \(0.475830\pi\) | |||||||
\(108\) | −1.07207 | + | 4.69704i | −0.103160 | + | 0.451973i | ||||
\(109\) | −4.49447 | − | 2.16442i | −0.430492 | − | 0.207314i | 0.206074 | − | 0.978536i | \(-0.433931\pi\) |
−0.636566 | + | 0.771222i | \(0.719646\pi\) | |||||||
\(110\) | 8.17675 | − | 10.2533i | 0.779623 | − | 0.977616i | ||||
\(111\) | 5.09487 | + | 2.45356i | 0.483584 | + | 0.232882i | ||||
\(112\) | −0.932339 | − | 2.47603i | −0.0880977 | − | 0.233963i | ||||
\(113\) | −8.59243 | + | 4.13790i | −0.808308 | + | 0.389261i | −0.791935 | − | 0.610605i | \(-0.790926\pi\) |
−0.0163729 | + | 0.999866i | \(0.505212\pi\) | |||||||
\(114\) | −1.17219 | + | 5.13569i | −0.109785 | + | 0.481001i | ||||
\(115\) | 9.72818 | − | 12.1987i | 0.907157 | − | 1.13754i | ||||
\(116\) | −0.0766212 | −0.00711410 | ||||||||
\(117\) | −8.08477 | −0.747437 | ||||||||
\(118\) | 3.65843 | − | 4.58753i | 0.336786 | − | 0.422316i | ||||
\(119\) | −1.18401 | + | 13.3174i | −0.108538 | + | 1.22080i | ||||
\(120\) | 1.27342 | + | 1.59682i | 0.116247 | + | 0.145769i | ||||
\(121\) | 15.9780 | + | 20.0358i | 1.45255 | + | 1.82144i | ||||
\(122\) | −6.91680 | + | 3.33095i | −0.626217 | + | 0.301570i | ||||
\(123\) | 1.26876 | − | 0.611003i | 0.114400 | − | 0.0550923i | ||||
\(124\) | 0.233004 | + | 0.292178i | 0.0209244 | + | 0.0262384i | ||||
\(125\) | 7.16648 | + | 8.98649i | 0.640990 | + | 0.803776i | ||||
\(126\) | 4.65935 | − | 3.08288i | 0.415088 | − | 0.274645i | ||||
\(127\) | −10.1010 | + | 12.6662i | −0.896319 | + | 1.12395i | 0.0953900 | + | 0.995440i | \(0.469590\pi\) |
−0.991708 | + | 0.128508i | \(0.958981\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −0.819757 | −0.0721756 | ||||||||
\(130\) | −5.17280 | + | 6.48649i | −0.453685 | + | 0.568903i | ||||
\(131\) | 1.94884 | − | 8.53844i | 0.170271 | − | 0.746007i | −0.815616 | − | 0.578594i | \(-0.803602\pi\) |
0.985887 | − | 0.167413i | \(-0.0535413\pi\) | |||||||
\(132\) | −5.13925 | + | 2.47493i | −0.447314 | + | 0.215415i | ||||
\(133\) | 12.3321 | − | 8.15959i | 1.06933 | − | 0.707527i | ||||
\(134\) | 2.57695 | + | 1.24099i | 0.222615 | + | 0.107206i | ||||
\(135\) | −6.50929 | + | 8.16239i | −0.560230 | + | 0.702507i | ||||
\(136\) | −4.55290 | − | 2.19256i | −0.390408 | − | 0.188011i | ||||
\(137\) | 0.593175 | − | 2.59887i | 0.0506783 | − | 0.222036i | −0.943247 | − | 0.332092i | \(-0.892246\pi\) |
0.993925 | + | 0.110055i | \(0.0351028\pi\) | |||||||
\(138\) | −6.11435 | + | 2.94451i | −0.520488 | + | 0.250654i | ||||
\(139\) | −3.53434 | − | 15.4850i | −0.299779 | − | 1.31342i | −0.870458 | − | 0.492243i | \(-0.836177\pi\) |
0.570679 | − | 0.821173i | \(-0.306680\pi\) | |||||||
\(140\) | 0.507726 | − | 5.71073i | 0.0429107 | − | 0.482645i | ||||
\(141\) | −1.09082 | + | 4.77920i | −0.0918637 | + | 0.402481i | ||||
\(142\) | 1.02807 | + | 4.50428i | 0.0862739 | + | 0.377991i | ||||
\(143\) | −14.4468 | − | 18.1158i | −1.20811 | − | 1.51492i | ||||
\(144\) | 0.469888 | + | 2.05871i | 0.0391573 | + | 0.171559i | ||||
\(145\) | −0.149593 | − | 0.0720401i | −0.0124230 | − | 0.00598260i | ||||
\(146\) | 13.3696 | 1.10647 | ||||||||
\(147\) | 6.49415 | + | 1.16396i | 0.535629 | + | 0.0960015i | ||||
\(148\) | 5.99975 | 0.493177 | ||||||||
\(149\) | −5.10300 | − | 2.45748i | −0.418054 | − | 0.201324i | 0.213018 | − | 0.977048i | \(-0.431671\pi\) |
−0.631072 | + | 0.775724i | \(0.717385\pi\) | |||||||
\(150\) | −0.0638119 | − | 0.279578i | −0.00521022 | − | 0.0228275i | ||||
\(151\) | 4.96688 | + | 6.22827i | 0.404199 | + | 0.506849i | 0.941718 | − | 0.336402i | \(-0.109210\pi\) |
−0.537520 | + | 0.843251i | \(0.680639\pi\) | |||||||
\(152\) | 1.24367 | + | 5.44889i | 0.100875 | + | 0.441964i | ||||
\(153\) | 2.37450 | − | 10.4034i | 0.191967 | − | 0.841063i | ||||
\(154\) | 15.2338 | + | 4.93148i | 1.22757 | + | 0.397390i | ||||
\(155\) | 0.180201 | + | 0.789513i | 0.0144741 | + | 0.0634152i | ||||
\(156\) | 3.25121 | − | 1.56570i | 0.260305 | − | 0.125356i | ||||
\(157\) | −3.43475 | + | 15.0486i | −0.274123 | + | 1.20101i | 0.630973 | + | 0.775805i | \(0.282656\pi\) |
−0.905096 | + | 0.425207i | \(0.860201\pi\) | |||||||
\(158\) | 6.36646 | + | 3.06593i | 0.506488 | + | 0.243912i | ||||
\(159\) | −2.82671 | + | 3.54459i | −0.224173 | + | 0.281104i | ||||
\(160\) | 1.95237 | + | 0.940211i | 0.154348 | + | 0.0743302i | ||||
\(161\) | 18.1242 | + | 5.86716i | 1.42839 | + | 0.462397i | ||||
\(162\) | −1.61640 | + | 0.778417i | −0.126996 | + | 0.0611582i | ||||
\(163\) | −1.28441 | + | 5.62736i | −0.100603 | + | 0.440769i | 0.899391 | + | 0.437145i | \(0.144010\pi\) |
−0.999993 | + | 0.00362335i | \(0.998847\pi\) | |||||||
\(164\) | 0.931557 | − | 1.16813i | 0.0727423 | − | 0.0912160i | ||||
\(165\) | −12.3607 | −0.962276 | ||||||||
\(166\) | −9.65759 | −0.749574 | ||||||||
\(167\) | 4.56777 | − | 5.72780i | 0.353465 | − | 0.443231i | −0.573032 | − | 0.819533i | \(-0.694233\pi\) |
0.926497 | + | 0.376302i | \(0.122805\pi\) | |||||||
\(168\) | −1.27668 | + | 2.14208i | −0.0984978 | + | 0.165265i | ||||
\(169\) | 1.03404 | + | 1.29665i | 0.0795415 | + | 0.0997419i | ||||
\(170\) | −6.82747 | − | 8.56138i | −0.523643 | − | 0.656628i | ||||
\(171\) | −10.6333 | + | 5.12074i | −0.813150 | + | 0.391593i | ||||
\(172\) | −0.783619 | + | 0.377371i | −0.0597504 | + | 0.0287743i | ||||
\(173\) | −6.95191 | − | 8.71742i | −0.528544 | − | 0.662773i | 0.443855 | − | 0.896099i | \(-0.353611\pi\) |
−0.972399 | + | 0.233326i | \(0.925039\pi\) | |||||||
\(174\) | 0.0450265 | + | 0.0564615i | 0.00341345 | + | 0.00428033i | ||||
\(175\) | −0.412127 | + | 0.691489i | −0.0311539 | + | 0.0522717i | ||||
\(176\) | −3.77336 | + | 4.73165i | −0.284428 | + | 0.356661i | ||||
\(177\) | −5.53039 | −0.415690 | ||||||||
\(178\) | 11.9584 | 0.896319 | ||||||||
\(179\) | 10.6671 | − | 13.3761i | 0.797298 | − | 0.999780i | −0.202492 | − | 0.979284i | \(-0.564904\pi\) |
0.999790 | − | 0.0204957i | \(-0.00652443\pi\) | |||||||
\(180\) | −1.01823 | + | 4.46116i | −0.0758945 | + | 0.332515i | ||||
\(181\) | −11.3492 | + | 5.46551i | −0.843583 | + | 0.406248i | −0.805192 | − | 0.593015i | \(-0.797938\pi\) |
−0.0383910 | + | 0.999263i | \(0.512223\pi\) | |||||||
\(182\) | −9.63724 | − | 3.11977i | −0.714360 | − | 0.231252i | ||||
\(183\) | 6.51922 | + | 3.13949i | 0.481914 | + | 0.232078i | ||||
\(184\) | −4.48931 | + | 5.62941i | −0.330956 | + | 0.415006i | ||||
\(185\) | 11.7137 | + | 5.64104i | 0.861211 | + | 0.414737i | ||||
\(186\) | 0.0783783 | − | 0.343398i | 0.00574698 | − | 0.0251791i | ||||
\(187\) | 27.5542 | − | 13.2694i | 2.01496 | − | 0.970354i | ||||
\(188\) | 1.15735 | + | 5.07066i | 0.0844081 | + | 0.369816i | ||||
\(189\) | −12.1272 | − | 3.92581i | −0.882123 | − | 0.285561i | ||||
\(190\) | −2.69500 | + | 11.8076i | −0.195516 | + | 0.856611i | ||||
\(191\) | −3.47917 | − | 15.2432i | −0.251744 | − | 1.10296i | −0.929833 | − | 0.367983i | \(-0.880049\pi\) |
0.678089 | − | 0.734980i | \(-0.262809\pi\) | |||||||
\(192\) | −0.587651 | − | 0.736891i | −0.0424101 | − | 0.0531805i | ||||
\(193\) | 2.27228 | + | 9.95551i | 0.163562 | + | 0.716614i | 0.988479 | + | 0.151359i | \(0.0483649\pi\) |
−0.824916 | + | 0.565255i | \(0.808778\pi\) | |||||||
\(194\) | 0.407807 | + | 0.196389i | 0.0292788 | + | 0.0140999i | ||||
\(195\) | 7.81964 | 0.559976 | ||||||||
\(196\) | 6.74368 | − | 1.87690i | 0.481691 | − | 0.134065i | ||||
\(197\) | 17.2440 | 1.22859 | 0.614294 | − | 0.789077i | \(-0.289441\pi\) | ||||
0.614294 | + | 0.789077i | \(0.289441\pi\) | |||||||
\(198\) | −11.5142 | − | 5.54493i | −0.818276 | − | 0.394061i | ||||
\(199\) | −3.82042 | − | 16.7384i | −0.270822 | − | 1.18655i | −0.909045 | − | 0.416698i | \(-0.863187\pi\) |
0.638222 | − | 0.769852i | \(-0.279670\pi\) | |||||||
\(200\) | −0.189701 | − | 0.237878i | −0.0134139 | − | 0.0168205i | ||||
\(201\) | −0.599871 | − | 2.62820i | −0.0423116 | − | 0.185379i | ||||
\(202\) | 2.30813 | − | 10.1126i | 0.162400 | − | 0.711519i | ||||
\(203\) | 0.0179525 | − | 0.201924i | 0.00126002 | − | 0.0141723i | ||||
\(204\) | 1.05984 | + | 4.64346i | 0.0742035 | + | 0.325107i | ||||
\(205\) | 2.91704 | − | 1.40477i | 0.203735 | − | 0.0981134i | ||||
\(206\) | −1.40916 | + | 6.17394i | −0.0981809 | + | 0.430159i | ||||
\(207\) | −13.6988 | − | 6.59700i | −0.952134 | − | 0.458524i | ||||
\(208\) | 2.38712 | − | 2.99335i | 0.165517 | − | 0.207551i | ||||
\(209\) | −30.4751 | − | 14.6760i | −2.10801 | − | 1.01516i | ||||
\(210\) | −4.50655 | + | 2.98178i | −0.310982 | + | 0.205762i | ||||
\(211\) | −7.64938 | + | 3.68375i | −0.526605 | + | 0.253600i | −0.678245 | − | 0.734836i | \(-0.737259\pi\) |
0.151639 | + | 0.988436i | \(0.451545\pi\) | |||||||
\(212\) | −1.07037 | + | 4.68959i | −0.0735132 | + | 0.322082i | ||||
\(213\) | 2.71502 | − | 3.40452i | 0.186030 | − | 0.233274i | ||||
\(214\) | 7.53640 | 0.515177 | ||||||||
\(215\) | −1.88472 | −0.128537 | ||||||||
\(216\) | 3.00387 | − | 3.76674i | 0.204388 | − | 0.256294i | ||||
\(217\) | −0.824587 | + | 0.545591i | −0.0559766 | + | 0.0370372i | ||||
\(218\) | 3.11027 | + | 3.90016i | 0.210654 | + | 0.264152i | ||||
\(219\) | −7.85664 | − | 9.85192i | −0.530903 | − | 0.665731i | ||||
\(220\) | −11.8157 | + | 5.69016i | −0.796618 | + | 0.383631i | ||||
\(221\) | −17.4314 | + | 8.39453i | −1.17256 | + | 0.564677i | ||||
\(222\) | −3.52576 | − | 4.42116i | −0.236634 | − | 0.296729i | ||||
\(223\) | 7.77000 | + | 9.74327i | 0.520317 | + | 0.652457i | 0.970676 | − | 0.240390i | \(-0.0772754\pi\) |
−0.450359 | + | 0.892848i | \(0.648704\pi\) | |||||||
\(224\) | −0.234303 | + | 2.63536i | −0.0156550 | + | 0.176082i | ||||
\(225\) | 0.400584 | − | 0.502316i | 0.0267056 | − | 0.0334877i | ||||
\(226\) | 9.53688 | 0.634384 | ||||||||
\(227\) | −2.07834 | −0.137944 | −0.0689720 | − | 0.997619i | \(-0.521972\pi\) | ||||
−0.0689720 | + | 0.997619i | \(0.521972\pi\) | |||||||
\(228\) | 3.28439 | − | 4.11850i | 0.217514 | − | 0.272754i | ||||
\(229\) | 0.186869 | − | 0.818727i | 0.0123487 | − | 0.0541030i | −0.968378 | − | 0.249487i | \(-0.919738\pi\) |
0.980727 | + | 0.195384i | \(0.0625952\pi\) | |||||||
\(230\) | −14.0576 | + | 6.76980i | −0.926932 | + | 0.446387i | ||||
\(231\) | −5.31818 | − | 14.1236i | −0.349911 | − | 0.929266i | ||||
\(232\) | 0.0690333 | + | 0.0332447i | 0.00453226 | + | 0.00218262i | ||||
\(233\) | −8.18694 | + | 10.2661i | −0.536344 | + | 0.672554i | −0.973989 | − | 0.226593i | \(-0.927241\pi\) |
0.437645 | + | 0.899148i | \(0.355813\pi\) | |||||||
\(234\) | 7.28413 | + | 3.50785i | 0.476178 | + | 0.229315i | ||||
\(235\) | −2.50793 | + | 10.9880i | −0.163599 | + | 0.716775i | ||||
\(236\) | −5.28659 | + | 2.54589i | −0.344128 | + | 0.165723i | ||||
\(237\) | −1.48200 | − | 6.49308i | −0.0962665 | − | 0.421771i | ||||
\(238\) | 6.84494 | − | 11.4848i | 0.443691 | − | 0.744449i | ||||
\(239\) | −2.16998 | + | 9.50730i | −0.140364 | + | 0.614976i | 0.854986 | + | 0.518651i | \(0.173566\pi\) |
−0.995350 | + | 0.0963244i | \(0.969291\pi\) | |||||||
\(240\) | −0.454478 | − | 1.99120i | −0.0293365 | − | 0.128531i | ||||
\(241\) | −12.9253 | − | 16.2079i | −0.832594 | − | 1.04404i | −0.998324 | − | 0.0578692i | \(-0.981569\pi\) |
0.165730 | − | 0.986171i | \(-0.447002\pi\) | |||||||
\(242\) | −5.70249 | − | 24.9842i | −0.366570 | − | 1.60605i | ||||
\(243\) | 14.5456 | + | 7.00482i | 0.933104 | + | 0.449359i | ||||
\(244\) | 7.67707 | 0.491474 | ||||||||
\(245\) | 14.9308 | + | 2.67608i | 0.953896 | + | 0.170968i | ||||
\(246\) | −1.40822 | −0.0897847 | ||||||||
\(247\) | 19.2792 | + | 9.28439i | 1.22671 | + | 0.590752i | ||||
\(248\) | −0.0831583 | − | 0.364340i | −0.00528056 | − | 0.0231356i | ||||
\(249\) | 5.67529 | + | 7.11659i | 0.359657 | + | 0.450996i | ||||
\(250\) | −2.55769 | − | 11.2060i | −0.161762 | − | 0.708727i | ||||
\(251\) | −1.36299 | + | 5.97165i | −0.0860312 | + | 0.376927i | −0.999554 | − | 0.0298600i | \(-0.990494\pi\) |
0.913523 | + | 0.406787i | \(0.133351\pi\) | |||||||
\(252\) | −5.53554 | + | 0.755960i | −0.348706 | + | 0.0476210i | ||||
\(253\) | −9.69661 | − | 42.4836i | −0.609621 | − | 2.67092i | ||||
\(254\) | 14.5964 | − | 7.02924i | 0.915857 | − | 0.441054i | ||||
\(255\) | −2.29663 | + | 10.0622i | −0.143821 | + | 0.630120i | ||||
\(256\) | −0.900969 | − | 0.433884i | −0.0563106 | − | 0.0271177i | ||||
\(257\) | −15.1342 | + | 18.9777i | −0.944046 | + | 1.18380i | 0.0387777 | + | 0.999248i | \(0.487654\pi\) |
−0.982823 | + | 0.184548i | \(0.940918\pi\) | |||||||
\(258\) | 0.738576 | + | 0.355679i | 0.0459817 | + | 0.0221436i | ||||
\(259\) | −1.40576 | + | 15.8115i | −0.0873495 | + | 0.982478i | ||||
\(260\) | 7.47492 | − | 3.59973i | 0.463575 | − | 0.223246i | ||||
\(261\) | −0.0360034 | + | 0.157741i | −0.00222855 | + | 0.00976393i | ||||
\(262\) | −5.46054 | + | 6.84730i | −0.337353 | + | 0.423028i | ||||
\(263\) | 9.85589 | 0.607740 | 0.303870 | − | 0.952714i | \(-0.401721\pi\) | ||||
0.303870 | + | 0.952714i | \(0.401721\pi\) | |||||||
\(264\) | 5.70413 | 0.351065 | ||||||||
\(265\) | −6.49896 | + | 8.14943i | −0.399228 | + | 0.500616i | ||||
\(266\) | −14.6512 | + | 2.00083i | −0.898321 | + | 0.122679i | ||||
\(267\) | −7.02736 | − | 8.81204i | −0.430068 | − | 0.539288i | ||||
\(268\) | −1.78331 | − | 2.23619i | −0.108933 | − | 0.136597i | ||||
\(269\) | 25.6599 | − | 12.3572i | 1.56451 | − | 0.753429i | 0.566985 | − | 0.823728i | \(-0.308110\pi\) |
0.997526 | + | 0.0702989i | \(0.0223953\pi\) | |||||||
\(270\) | 9.40619 | − | 4.52978i | 0.572443 | − | 0.275674i | ||||
\(271\) | 0.175579 | + | 0.220169i | 0.0106656 | + | 0.0133743i | 0.787136 | − | 0.616780i | \(-0.211563\pi\) |
−0.776470 | + | 0.630154i | \(0.782992\pi\) | |||||||
\(272\) | 3.15071 | + | 3.95086i | 0.191040 | + | 0.239556i | ||||
\(273\) | 3.36441 | + | 8.93493i | 0.203623 | + | 0.540767i | ||||
\(274\) | −1.66204 | + | 2.08413i | −0.100407 | + | 0.125907i | ||||
\(275\) | 1.84136 | 0.111038 | ||||||||
\(276\) | 6.78641 | 0.408494 | ||||||||
\(277\) | −10.4385 | + | 13.0895i | −0.627191 | + | 0.786473i | −0.989336 | − | 0.145649i | \(-0.953473\pi\) |
0.362145 | + | 0.932122i | \(0.382044\pi\) | |||||||
\(278\) | −3.53434 | + | 15.4850i | −0.211976 | + | 0.928726i | ||||
\(279\) | 0.710997 | − | 0.342398i | 0.0425663 | − | 0.0204988i | ||||
\(280\) | −2.93524 | + | 4.92489i | −0.175414 | + | 0.294319i | ||||
\(281\) | 15.1215 | + | 7.28215i | 0.902076 | + | 0.434417i | 0.826638 | − | 0.562734i | \(-0.190250\pi\) |
0.0754376 | + | 0.997151i | \(0.475965\pi\) | |||||||
\(282\) | 3.05641 | − | 3.83262i | 0.182007 | − | 0.228229i | ||||
\(283\) | 16.1859 | + | 7.79471i | 0.962151 | + | 0.463347i | 0.847930 | − | 0.530108i | \(-0.177849\pi\) |
0.114221 | + | 0.993455i | \(0.463563\pi\) | |||||||
\(284\) | 1.02807 | − | 4.50428i | 0.0610049 | − | 0.267280i | ||||
\(285\) | 10.2846 | − | 4.95281i | 0.609208 | − | 0.293379i | ||||
\(286\) | 5.15602 | + | 22.5900i | 0.304882 | + | 1.33577i | ||||
\(287\) | 2.86019 | + | 2.72868i | 0.168831 | + | 0.161069i | ||||
\(288\) | 0.469888 | − | 2.05871i | 0.0276884 | − | 0.121311i | ||||
\(289\) | −1.89949 | − | 8.32223i | −0.111735 | − | 0.489543i | ||||
\(290\) | 0.103521 | + | 0.129812i | 0.00607899 | + | 0.00762281i | ||||
\(291\) | −0.0949305 | − | 0.415918i | −0.00556493 | − | 0.0243815i | ||||
\(292\) | −12.0456 | − | 5.80084i | −0.704913 | − | 0.339468i | ||||
\(293\) | 6.81672 | 0.398237 | 0.199118 | − | 0.979975i | \(-0.436192\pi\) | ||||
0.199118 | + | 0.979975i | \(0.436192\pi\) | |||||||
\(294\) | −5.34601 | − | 3.86639i | −0.311785 | − | 0.225493i | ||||
\(295\) | −12.7150 | −0.740298 | ||||||||
\(296\) | −5.40559 | − | 2.60319i | −0.314194 | − | 0.151308i | ||||
\(297\) | 6.48817 | + | 28.4265i | 0.376482 | + | 1.64947i | ||||
\(298\) | 3.53139 | + | 4.42822i | 0.204568 | + | 0.256520i | ||||
\(299\) | 6.13430 | + | 26.8761i | 0.354756 | + | 1.55429i | ||||
\(300\) | −0.0638119 | + | 0.279578i | −0.00368418 | + | 0.0161415i | ||||
\(301\) | −0.810903 | − | 2.15353i | −0.0467397 | − | 0.124128i | ||||
\(302\) | −1.77266 | − | 7.76652i | −0.102005 | − | 0.446913i | ||||
\(303\) | −8.80825 | + | 4.24183i | −0.506021 | + | 0.243687i | ||||
\(304\) | 1.24367 | − | 5.44889i | 0.0713296 | − | 0.312515i | ||||
\(305\) | 14.9885 | + | 7.21807i | 0.858237 | + | 0.413305i | ||||
\(306\) | −6.65321 | + | 8.34286i | −0.380339 | + | 0.476930i | ||||
\(307\) | 9.38949 | + | 4.52174i | 0.535886 | + | 0.258069i | 0.682196 | − | 0.731170i | \(-0.261025\pi\) |
−0.146309 | + | 0.989239i | \(0.546739\pi\) | |||||||
\(308\) | −11.5855 | − | 11.0528i | −0.660143 | − | 0.629791i | ||||
\(309\) | 5.37762 | − | 2.58972i | 0.305922 | − | 0.147324i | ||||
\(310\) | 0.180201 | − | 0.789513i | 0.0102347 | − | 0.0448413i | ||||
\(311\) | 7.66133 | − | 9.60701i | 0.434434 | − | 0.544764i | −0.515632 | − | 0.856810i | \(-0.672443\pi\) |
0.950067 | + | 0.312046i | \(0.101014\pi\) | |||||||
\(312\) | −3.60857 | −0.204295 | ||||||||
\(313\) | 10.5746 | 0.597714 | 0.298857 | − | 0.954298i | \(-0.403395\pi\) | ||||
0.298857 | + | 0.954298i | \(0.403395\pi\) | |||||||
\(314\) | 9.62396 | − | 12.0681i | 0.543112 | − | 0.681040i | ||||
\(315\) | −11.5182 | − | 3.72866i | −0.648976 | − | 0.210086i | ||||
\(316\) | −4.40573 | − | 5.52461i | −0.247842 | − | 0.310783i | ||||
\(317\) | 14.2864 | + | 17.9146i | 0.802406 | + | 1.00619i | 0.999666 | + | 0.0258346i | \(0.00822433\pi\) |
−0.197260 | + | 0.980351i | \(0.563204\pi\) | |||||||
\(318\) | 4.08472 | − | 1.96710i | 0.229060 | − | 0.110309i | ||||
\(319\) | −0.417790 | + | 0.201197i | −0.0233917 | + | 0.0112649i | ||||
\(320\) | −1.35108 | − | 1.69420i | −0.0755277 | − | 0.0947088i | ||||
\(321\) | −4.42877 | − | 5.55351i | −0.247190 | − | 0.309966i | ||||
\(322\) | −13.7837 | − | 13.1499i | −0.768133 | − | 0.732816i | ||||
\(323\) | −17.6094 | + | 22.0814i | −0.979811 | + | 1.22864i | ||||
\(324\) | 1.79407 | 0.0996705 | ||||||||
\(325\) | −1.16489 | −0.0646165 | ||||||||
\(326\) | 3.59883 | − | 4.51279i | 0.199321 | − | 0.249940i | ||||
\(327\) | 1.04624 | − | 4.58386i | 0.0578570 | − | 0.253488i | ||||
\(328\) | −1.34614 | + | 0.648266i | −0.0743280 | + | 0.0357945i | ||||
\(329\) | −13.6342 | + | 1.86195i | −0.751676 | + | 0.102653i | ||||
\(330\) | 11.1366 | + | 5.36309i | 0.613048 | + | 0.295228i | ||||
\(331\) | 6.58529 | − | 8.25769i | 0.361960 | − | 0.453883i | −0.567190 | − | 0.823587i | \(-0.691969\pi\) |
0.929150 | + | 0.369704i | \(0.120541\pi\) | |||||||
\(332\) | 8.70119 | + | 4.19027i | 0.477540 | + | 0.229971i | ||||
\(333\) | 2.81921 | − | 12.3518i | 0.154492 | − | 0.676873i | ||||
\(334\) | −6.60062 | + | 3.17869i | −0.361170 | + | 0.173930i | ||||
\(335\) | −1.37918 | − | 6.04256i | −0.0753524 | − | 0.330140i | ||||
\(336\) | 2.07966 | − | 1.37601i | 0.113455 | − | 0.0750678i | ||||
\(337\) | 7.68989 | − | 33.6916i | 0.418895 | − | 1.83530i | −0.119800 | − | 0.992798i | \(-0.538225\pi\) |
0.538695 | − | 0.842501i | \(-0.318917\pi\) | |||||||
\(338\) | −0.369045 | − | 1.61689i | −0.0200734 | − | 0.0879472i | ||||
\(339\) | −5.60436 | − | 7.02764i | −0.304387 | − | 0.381689i | ||||
\(340\) | 2.43670 | + | 10.6759i | 0.132148 | + | 0.578980i | ||||
\(341\) | 2.03772 | + | 0.981312i | 0.110349 | + | 0.0531411i | ||||
\(342\) | 11.8021 | 0.638184 | ||||||||
\(343\) | 3.36625 | + | 18.2118i | 0.181760 | + | 0.983343i | ||||
\(344\) | 0.869751 | 0.0468939 | ||||||||
\(345\) | 13.2496 | + | 6.38066i | 0.713334 | + | 0.343523i | ||||
\(346\) | 2.48111 | + | 10.8704i | 0.133385 | + | 0.584399i | ||||
\(347\) | −9.95355 | − | 12.4814i | −0.534335 | − | 0.670035i | 0.439249 | − | 0.898365i | \(-0.355245\pi\) |
−0.973584 | + | 0.228331i | \(0.926673\pi\) | |||||||
\(348\) | −0.0160698 | − | 0.0704063i | −0.000861431 | − | 0.00377417i | ||||
\(349\) | −8.21246 | + | 35.9811i | −0.439603 | + | 1.92603i | −0.0678451 | + | 0.997696i | \(0.521612\pi\) |
−0.371758 | + | 0.928330i | \(0.621245\pi\) | |||||||
\(350\) | 0.671340 | − | 0.444195i | 0.0358846 | − | 0.0237432i | ||||
\(351\) | −4.10457 | − | 17.9833i | −0.219086 | − | 0.959876i | ||||
\(352\) | 5.45267 | − | 2.62587i | 0.290628 | − | 0.139959i | ||||
\(353\) | 4.16847 | − | 18.2633i | 0.221865 | − | 0.972056i | −0.734207 | − | 0.678926i | \(-0.762446\pi\) |
0.956073 | − | 0.293130i | \(-0.0946969\pi\) | |||||||
\(354\) | 4.98271 | + | 2.39955i | 0.264828 | + | 0.127534i | ||||
\(355\) | 6.24215 | − | 7.82741i | 0.331299 | − | 0.415436i | ||||
\(356\) | −10.7741 | − | 5.18855i | −0.571028 | − | 0.274993i | ||||
\(357\) | −12.4855 | + | 1.70508i | −0.660802 | + | 0.0902423i | ||||
\(358\) | −15.4144 | + | 7.42320i | −0.814678 | + | 0.392328i | ||||
\(359\) | 5.13049 | − | 22.4781i | 0.270777 | − | 1.18635i | −0.638322 | − | 0.769770i | \(-0.720371\pi\) |
0.909098 | − | 0.416581i | \(-0.136772\pi\) | |||||||
\(360\) | 2.85302 | − | 3.57758i | 0.150367 | − | 0.188555i | ||||
\(361\) | 12.2372 | 0.644061 | ||||||||
\(362\) | 12.5967 | 0.662068 | ||||||||
\(363\) | −15.0596 | + | 18.8841i | −0.790424 | + | 0.991160i | ||||
\(364\) | 7.32924 | + | 6.99225i | 0.384156 | + | 0.366494i | ||||
\(365\) | −18.0634 | − | 22.6508i | −0.945480 | − | 1.18559i | ||||
\(366\) | −4.51144 | − | 5.65716i | −0.235817 | − | 0.295705i | ||||
\(367\) | −14.5398 | + | 7.00198i | −0.758969 | + | 0.365500i | −0.773004 | − | 0.634401i | \(-0.781247\pi\) |
0.0140347 | + | 0.999902i | \(0.495532\pi\) | |||||||
\(368\) | 6.48724 | − | 3.12409i | 0.338171 | − | 0.162854i | ||||
\(369\) | −1.96713 | − | 2.46670i | −0.102405 | − | 0.128411i | ||||
\(370\) | −8.10615 | − | 10.1648i | −0.421419 | − | 0.528442i | ||||
\(371\) | −12.1079 | − | 3.91958i | −0.628613 | − | 0.203495i | ||||
\(372\) | −0.219611 | + | 0.275384i | −0.0113863 | + | 0.0142780i | ||||
\(373\) | 10.9198 | 0.565404 | 0.282702 | − | 0.959208i | \(-0.408769\pi\) | ||||
0.282702 | + | 0.959208i | \(0.408769\pi\) | |||||||
\(374\) | −30.5828 | −1.58140 | ||||||||
\(375\) | −6.75455 | + | 8.46994i | −0.348803 | + | 0.437386i | ||||
\(376\) | 1.15735 | − | 5.07066i | 0.0596856 | − | 0.261500i | ||||
\(377\) | 0.264303 | − | 0.127282i | 0.0136123 | − | 0.00655535i | ||||
\(378\) | 9.22288 | + | 8.79883i | 0.474374 | + | 0.452563i | ||||
\(379\) | −28.9083 | − | 13.9215i | −1.48492 | − | 0.715100i | −0.496670 | − | 0.867940i | \(-0.665444\pi\) |
−0.988251 | + | 0.152839i | \(0.951158\pi\) | |||||||
\(380\) | 7.55122 | − | 9.46893i | 0.387370 | − | 0.485746i | ||||
\(381\) | −13.7574 | − | 6.62519i | −0.704811 | − | 0.339419i | ||||
\(382\) | −3.47917 | + | 15.2432i | −0.178010 | + | 0.779912i | ||||
\(383\) | −3.89403 | + | 1.87527i | −0.198976 | + | 0.0958217i | −0.530718 | − | 0.847548i | \(-0.678078\pi\) |
0.331742 | + | 0.943370i | \(0.392363\pi\) | |||||||
\(384\) | 0.209730 | + | 0.918888i | 0.0107028 | + | 0.0468918i | ||||
\(385\) | −12.2271 | − | 32.4719i | −0.623153 | − | 1.65492i | ||||
\(386\) | 2.27228 | − | 9.95551i | 0.115656 | − | 0.506722i | ||||
\(387\) | 0.408686 | + | 1.79057i | 0.0207747 | + | 0.0910197i | ||||
\(388\) | −0.282211 | − | 0.353882i | −0.0143271 | − | 0.0179656i | ||||
\(389\) | 5.59116 | + | 24.4965i | 0.283483 | + | 1.24202i | 0.893294 | + | 0.449473i | \(0.148388\pi\) |
−0.609811 | + | 0.792547i | \(0.708754\pi\) | |||||||
\(390\) | −7.04525 | − | 3.39281i | −0.356750 | − | 0.171802i | ||||
\(391\) | −36.3855 | −1.84009 | ||||||||
\(392\) | −6.89020 | − | 1.23494i | −0.348008 | − | 0.0623740i | ||||
\(393\) | 8.25461 | 0.416390 | ||||||||
\(394\) | −15.5364 | − | 7.48191i | −0.782710 | − | 0.376933i | ||||
\(395\) | −3.40731 | − | 14.9284i | −0.171440 | − | 0.751129i | ||||
\(396\) | 7.96805 | + | 9.99162i | 0.400410 | + | 0.502098i | ||||
\(397\) | −1.86229 | − | 8.15921i | −0.0934655 | − | 0.409499i | 0.906452 | − | 0.422308i | \(-0.138780\pi\) |
−0.999918 | + | 0.0128088i | \(0.995923\pi\) | |||||||
\(398\) | −3.82042 | + | 16.7384i | −0.191500 | + | 0.839018i | ||||
\(399\) | 10.0842 | + | 9.62053i | 0.504840 | + | 0.481629i | ||||
\(400\) | 0.0677035 | + | 0.296629i | 0.00338518 | + | 0.0148314i | ||||
\(401\) | −19.9560 | + | 9.61030i | −0.996555 | + | 0.479916i | −0.859768 | − | 0.510685i | \(-0.829392\pi\) |
−0.136787 | + | 0.990600i | \(0.543678\pi\) | |||||||
\(402\) | −0.599871 | + | 2.62820i | −0.0299188 | + | 0.131083i | ||||
\(403\) | −1.28911 | − | 0.620801i | −0.0642150 | − | 0.0309243i | ||||
\(404\) | −6.46724 | + | 8.10966i | −0.321757 | + | 0.403471i | ||||
\(405\) | 3.50268 | + | 1.68680i | 0.174050 | + | 0.0838180i | ||||
\(406\) | −0.103786 | + | 0.174138i | −0.00515082 | + | 0.00864232i | ||||
\(407\) | 32.7147 | − | 15.7545i | 1.62161 | − | 0.780924i | ||||
\(408\) | 1.05984 | − | 4.64346i | 0.0524698 | − | 0.229885i | ||||
\(409\) | 14.9084 | − | 18.6946i | 0.737174 | − | 0.924387i | −0.261998 | − | 0.965068i | \(-0.584381\pi\) |
0.999172 | + | 0.0406814i | \(0.0129529\pi\) | |||||||
\(410\) | −3.23767 | −0.159897 | ||||||||
\(411\) | 2.51248 | 0.123931 | ||||||||
\(412\) | 3.94838 | − | 4.95111i | 0.194523 | − | 0.243924i | ||||
\(413\) | −5.47066 | − | 14.5285i | −0.269193 | − | 0.714903i | ||||
\(414\) | 9.47988 | + | 11.8874i | 0.465911 | + | 0.584233i | ||||
\(415\) | 13.0482 | + | 16.3619i | 0.640510 | + | 0.803175i | ||||
\(416\) | −3.44948 | + | 1.66118i | −0.169125 | + | 0.0814462i | ||||
\(417\) | 13.4877 | − | 6.49533i | 0.660495 | − | 0.318078i | ||||
\(418\) | 21.0894 | + | 26.4453i | 1.03152 | + | 1.29348i | ||||
\(419\) | 4.77143 | + | 5.98318i | 0.233099 | + | 0.292298i | 0.884600 | − | 0.466351i | \(-0.154432\pi\) |
−0.651500 | + | 0.758648i | \(0.725860\pi\) | |||||||
\(420\) | 5.35401 | − | 0.731169i | 0.261249 | − | 0.0356774i | ||||
\(421\) | −11.2066 | + | 14.0526i | −0.546175 | + | 0.684882i | −0.975935 | − | 0.218061i | \(-0.930027\pi\) |
0.429760 | + | 0.902943i | \(0.358598\pi\) | |||||||
\(422\) | 8.49017 | 0.413295 | ||||||||
\(423\) | 10.9829 | 0.534005 | ||||||||
\(424\) | 2.99910 | − | 3.76076i | 0.145649 | − | 0.182638i | ||||
\(425\) | 0.342129 | − | 1.49897i | 0.0165957 | − | 0.0727105i | ||||
\(426\) | −3.92331 | + | 1.88937i | −0.190085 | + | 0.0915402i | ||||
\(427\) | −1.79876 | + | 20.2318i | −0.0870479 | + | 0.979086i | ||||
\(428\) | −6.79006 | − | 3.26992i | −0.328210 | − | 0.158058i | ||||
\(429\) | 13.6164 | − | 17.0745i | 0.657407 | − | 0.824363i | ||||
\(430\) | 1.69808 | + | 0.817750i | 0.0818885 | + | 0.0394354i | ||||
\(431\) | −3.06468 | + | 13.4272i | −0.147620 | + | 0.646767i | 0.845922 | + | 0.533306i | \(0.179051\pi\) |
−0.993543 | + | 0.113460i | \(0.963806\pi\) | |||||||
\(432\) | −4.34072 | + | 2.09038i | −0.208843 | + | 0.100573i | ||||
\(433\) | −8.79667 | − | 38.5407i | −0.422741 | − | 1.85215i | −0.516118 | − | 0.856518i | \(-0.672623\pi\) |
0.0933769 | − | 0.995631i | \(-0.470234\pi\) | |||||||
\(434\) | 0.979651 | − | 0.133786i | 0.0470247 | − | 0.00642193i | ||||
\(435\) | 0.0348227 | − | 0.152568i | 0.00166962 | − | 0.00731508i | ||||
\(436\) | −1.11004 | − | 4.86342i | −0.0531614 | − | 0.232915i | ||||
\(437\) | 25.0908 | + | 31.4629i | 1.20026 | + | 1.50508i | ||||
\(438\) | 2.80400 | + | 12.2851i | 0.133980 | + | 0.587007i | ||||
\(439\) | −13.3953 | − | 6.45084i | −0.639324 | − | 0.307882i | 0.0859948 | − | 0.996296i | \(-0.472593\pi\) |
−0.725318 | + | 0.688414i | \(0.758307\pi\) | |||||||
\(440\) | 13.1145 | 0.625209 | ||||||||
\(441\) | −0.695233 | − | 14.7652i | −0.0331063 | − | 0.703107i | ||||
\(442\) | 19.3474 | 0.920263 | ||||||||
\(443\) | −10.4599 | − | 5.03722i | −0.496964 | − | 0.239325i | 0.168574 | − | 0.985689i | \(-0.446084\pi\) |
−0.665538 | + | 0.746364i | \(0.731798\pi\) | |||||||
\(444\) | 1.25833 | + | 5.51310i | 0.0597177 | + | 0.261640i | ||||
\(445\) | −16.1568 | − | 20.2599i | −0.765904 | − | 0.960413i | ||||
\(446\) | −2.77308 | − | 12.1497i | −0.131309 | − | 0.575303i | ||||
\(447\) | 1.18789 | − | 5.20450i | 0.0561854 | − | 0.246164i | ||||
\(448\) | 1.35454 | − | 2.27271i | 0.0639959 | − | 0.107376i | ||||
\(449\) | 7.95258 | + | 34.8425i | 0.375305 | + | 1.64432i | 0.711616 | + | 0.702569i | \(0.247964\pi\) |
−0.336310 | + | 0.941751i | \(0.609179\pi\) | |||||||
\(450\) | −0.578860 | + | 0.278764i | −0.0272877 | + | 0.0131411i | ||||
\(451\) | 2.01210 | − | 8.81560i | 0.0947462 | − | 0.415110i | ||||
\(452\) | −8.59243 | − | 4.13790i | −0.404154 | − | 0.194630i | ||||
\(453\) | −4.68138 | + | 5.87026i | −0.219950 | + | 0.275809i | ||||
\(454\) | 1.87252 | + | 0.901756i | 0.0878815 | + | 0.0423215i | ||||
\(455\) | 7.73518 | + | 20.5425i | 0.362631 | + | 0.963047i | ||||
\(456\) | −4.74609 | + | 2.28560i | −0.222256 | + | 0.107033i | ||||
\(457\) | 4.52940 | − | 19.8446i | 0.211876 | − | 0.928290i | −0.751415 | − | 0.659830i | \(-0.770628\pi\) |
0.963291 | − | 0.268460i | \(-0.0865147\pi\) | |||||||
\(458\) | −0.523595 | + | 0.656568i | −0.0244660 | + | 0.0306794i | ||||
\(459\) | 24.3462 | 1.13638 | ||||||||
\(460\) | 15.6028 | 0.727484 | ||||||||
\(461\) | 12.5485 | − | 15.7353i | 0.584441 | − | 0.732865i | −0.398423 | − | 0.917202i | \(-0.630442\pi\) |
0.982863 | + | 0.184337i | \(0.0590137\pi\) | |||||||
\(462\) | −1.33649 | + | 15.0324i | −0.0621793 | + | 0.699371i | ||||
\(463\) | 12.3633 | + | 15.5031i | 0.574571 | + | 0.720490i | 0.981176 | − | 0.193114i | \(-0.0618589\pi\) |
−0.406605 | + | 0.913604i | \(0.633287\pi\) | |||||||
\(464\) | −0.0477725 | − | 0.0599048i | −0.00221778 | − | 0.00278101i | ||||
\(465\) | −0.687681 | + | 0.331170i | −0.0318904 | + | 0.0153576i | ||||
\(466\) | 11.8305 | − | 5.69725i | 0.548036 | − | 0.263920i | ||||
\(467\) | 0.198985 | + | 0.249519i | 0.00920791 | + | 0.0115464i | 0.786414 | − | 0.617700i | \(-0.211935\pi\) |
−0.777206 | + | 0.629246i | \(0.783364\pi\) | |||||||
\(468\) | −5.04077 | − | 6.32093i | −0.233010 | − | 0.292185i | ||||
\(469\) | 6.31100 | − | 4.17570i | 0.291415 | − | 0.192816i | ||||
\(470\) | 7.02706 | − | 8.81166i | 0.324134 | − | 0.406452i | ||||
\(471\) | −14.5484 | −0.670354 | ||||||||
\(472\) | 5.86767 | 0.270081 | ||||||||
\(473\) | −3.28189 | + | 4.11536i | −0.150901 | + | 0.189224i | ||||
\(474\) | −1.48200 | + | 6.49308i | −0.0680707 | + | 0.298237i | ||||
\(475\) | −1.53210 | + | 0.737819i | −0.0702974 | + | 0.0338534i | ||||
\(476\) | −11.1501 | + | 7.37754i | −0.511066 | + | 0.338149i | ||||
\(477\) | 9.15156 | + | 4.40716i | 0.419021 | + | 0.201790i | ||||
\(478\) | 6.08014 | − | 7.62426i | 0.278099 | − | 0.348726i | ||||
\(479\) | 31.8099 | + | 15.3189i | 1.45343 | + | 0.699937i | 0.983188 | − | 0.182599i | \(-0.0584509\pi\) |
0.470246 | + | 0.882535i | \(0.344165\pi\) | |||||||
\(480\) | −0.454478 | + | 1.99120i | −0.0207440 | + | 0.0908854i | ||||
\(481\) | −20.6960 | + | 9.96669i | −0.943659 | + | 0.454442i | ||||
\(482\) | 4.61300 | + | 20.2109i | 0.210116 | + | 0.920580i | ||||
\(483\) | −1.59007 | + | 17.8846i | −0.0723509 | + | 0.813778i | ||||
\(484\) | −5.70249 | + | 24.9842i | −0.259204 | + | 1.13565i | ||||
\(485\) | −0.218257 | − | 0.956245i | −0.00991053 | − | 0.0434209i | ||||
\(486\) | −10.0659 | − | 12.6222i | −0.456599 | − | 0.572556i | ||||
\(487\) | −4.14032 | − | 18.1399i | −0.187616 | − | 0.821998i | −0.977869 | − | 0.209218i | \(-0.932908\pi\) |
0.790253 | − | 0.612780i | \(-0.209949\pi\) | |||||||
\(488\) | −6.91680 | − | 3.33095i | −0.313109 | − | 0.150785i | ||||
\(489\) | −5.44029 | −0.246019 | ||||||||
\(490\) | −12.2911 | − | 8.88931i | −0.555256 | − | 0.401578i | ||||
\(491\) | −15.4070 | −0.695309 | −0.347654 | − | 0.937623i | \(-0.613022\pi\) | ||||
−0.347654 | + | 0.937623i | \(0.613022\pi\) | |||||||
\(492\) | 1.26876 | + | 0.611003i | 0.0572002 | + | 0.0275462i | ||||
\(493\) | 0.0861585 | + | 0.377485i | 0.00388038 | + | 0.0170011i | ||||
\(494\) | −13.3416 | − | 16.7299i | −0.600269 | − | 0.752714i | ||||
\(495\) | 6.16234 | + | 26.9990i | 0.276977 | + | 1.21351i | ||||
\(496\) | −0.0831583 | + | 0.364340i | −0.00373392 | + | 0.0163594i | ||||
\(497\) | 11.6295 | + | 3.76470i | 0.521655 | + | 0.168870i | ||||
\(498\) | −2.02549 | − | 8.87425i | −0.0907643 | − | 0.397664i | ||||
\(499\) | −36.5378 | + | 17.5957i | −1.63566 | + | 0.787690i | −0.635781 | + | 0.771870i | \(0.719322\pi\) |
−0.999875 | + | 0.0158207i | \(0.994964\pi\) | |||||||
\(500\) | −2.55769 | + | 11.2060i | −0.114383 | + | 0.501146i | ||||
\(501\) | 6.22121 | + | 2.99598i | 0.277943 | + | 0.133850i | ||||
\(502\) | 3.81901 | − | 4.78889i | 0.170451 | − | 0.213739i | ||||
\(503\) | −6.36833 | − | 3.06682i | −0.283950 | − | 0.136743i | 0.286488 | − | 0.958084i | \(-0.407512\pi\) |
−0.570438 | + | 0.821341i | \(0.693226\pi\) | |||||||
\(504\) | 5.31535 | + | 1.72068i | 0.236764 | + | 0.0766454i | ||||
\(505\) | −20.2512 | + | 9.75248i | −0.901168 | + | 0.433980i | ||||
\(506\) | −9.69661 | + | 42.4836i | −0.431067 | + | 1.88863i | ||||
\(507\) | −0.974603 | + | 1.22211i | −0.0432836 | + | 0.0542760i | ||||
\(508\) | −16.2007 | −0.718792 | ||||||||
\(509\) | −3.66137 | −0.162288 | −0.0811438 | − | 0.996702i | \(-0.525857\pi\) | ||||
−0.0811438 | + | 0.996702i | \(0.525857\pi\) | |||||||
\(510\) | 6.43503 | − | 8.06927i | 0.284948 | − | 0.357313i | ||||
\(511\) | 18.1096 | − | 30.3852i | 0.801121 | − | 1.34416i | ||||
\(512\) | 0.623490 | + | 0.781831i | 0.0275546 | + | 0.0345524i | ||||
\(513\) | −16.7887 | − | 21.0524i | −0.741239 | − | 0.929485i | ||||
\(514\) | 21.8696 | − | 10.5318i | 0.964625 | − | 0.464539i | ||||
\(515\) | 12.3638 | − | 5.95409i | 0.544814 | − | 0.262369i | ||||
\(516\) | −0.511110 | − | 0.640912i | −0.0225004 | − | 0.0282146i | ||||
\(517\) | 19.6255 | + | 24.6096i | 0.863129 | + | 1.08233i | ||||
\(518\) | 8.12689 | − | 13.6357i | 0.357075 | − | 0.599119i | ||||
\(519\) | 6.55231 | − | 8.21633i | 0.287614 | − | 0.360657i | ||||
\(520\) | −8.29653 | −0.363827 | ||||||||
\(521\) | −5.61877 | −0.246163 | −0.123081 | − | 0.992397i | \(-0.539278\pi\) | ||||
−0.123081 | + | 0.992397i | \(0.539278\pi\) | |||||||
\(522\) | 0.100879 | − | 0.126498i | 0.00441536 | − | 0.00553669i | ||||
\(523\) | 0.537068 | − | 2.35305i | 0.0234844 | − | 0.102892i | −0.961827 | − | 0.273657i | \(-0.911767\pi\) |
0.985312 | + | 0.170765i | \(0.0546239\pi\) | |||||||
\(524\) | 7.89071 | − | 3.79996i | 0.344707 | − | 0.166002i | ||||
\(525\) | −0.721837 | − | 0.233673i | −0.0315035 | − | 0.0101983i | ||||
\(526\) | −8.87985 | − | 4.27631i | −0.387180 | − | 0.186456i | ||||
\(527\) | 1.17745 | − | 1.47648i | 0.0512905 | − | 0.0643163i | ||||
\(528\) | −5.13925 | − | 2.47493i | −0.223657 | − | 0.107708i | ||||
\(529\) | −6.41843 | + | 28.1210i | −0.279062 | + | 1.22265i | ||||
\(530\) | 9.39126 | − | 4.52259i | 0.407930 | − | 0.196449i | ||||
\(531\) | 2.75715 | + | 12.0799i | 0.119650 | + | 0.524221i | ||||
\(532\) | 14.0684 | + | 4.55421i | 0.609941 | + | 0.197450i | ||||
\(533\) | −1.27290 | + | 5.57695i | −0.0551355 | + | 0.241564i | ||||
\(534\) | 2.50804 | + | 10.9884i | 0.108533 | + | 0.475516i | ||||
\(535\) | −10.1823 | − | 12.7682i | −0.440219 | − | 0.552017i | ||||
\(536\) | 0.636454 | + | 2.78849i | 0.0274906 | + | 0.120444i | ||||
\(537\) | 14.5284 | + | 6.99651i | 0.626947 | + | 0.301922i | ||||
\(538\) | −28.4803 | −1.22787 | ||||||||
\(539\) | 31.8426 | − | 27.9421i | 1.37156 | − | 1.20355i | ||||
\(540\) | −10.4401 | −0.449270 | ||||||||
\(541\) | 11.8122 | + | 5.68846i | 0.507847 | + | 0.244566i | 0.670219 | − | 0.742164i | \(-0.266200\pi\) |
−0.162372 | + | 0.986730i | \(0.551915\pi\) | |||||||
\(542\) | −0.0626633 | − | 0.274546i | −0.00269162 | − | 0.0117928i | ||||
\(543\) | −7.40247 | − | 9.28240i | −0.317670 | − | 0.398346i | ||||
\(544\) | −1.12447 | − | 4.92664i | −0.0482114 | − | 0.211228i | ||||
\(545\) | 2.40543 | − | 10.5389i | 0.103037 | − | 0.451435i | ||||
\(546\) | 0.845496 | − | 9.50986i | 0.0361839 | − | 0.406984i | ||||
\(547\) | 2.64214 | + | 11.5760i | 0.112970 | + | 0.494952i | 0.999480 | + | 0.0322436i | \(0.0102652\pi\) |
−0.886510 | + | 0.462709i | \(0.846878\pi\) | |||||||
\(548\) | 2.40171 | − | 1.15660i | 0.102596 | − | 0.0494077i | ||||
\(549\) | 3.60736 | − | 15.8049i | 0.153958 | − | 0.674536i | ||||
\(550\) | −1.65901 | − | 0.798938i | −0.0707405 | − | 0.0340668i | ||||
\(551\) | 0.267002 | − | 0.334809i | 0.0113747 | − | 0.0142634i | ||||
\(552\) | −6.11435 | − | 2.94451i | −0.260244 | − | 0.125327i | ||||
\(553\) | 15.5916 | − | 10.3162i | 0.663022 | − | 0.438691i | ||||
\(554\) | 15.0841 | − | 7.26413i | 0.640863 | − | 0.308623i | ||||
\(555\) | −2.72676 | + | 11.9467i | −0.115744 | + | 0.507109i | ||||
\(556\) | 9.90300 | − | 12.4180i | 0.419981 | − | 0.526639i | ||||
\(557\) | −24.3638 | −1.03233 | −0.516164 | − | 0.856490i | \(-0.672641\pi\) | ||||
−0.516164 | + | 0.856490i | \(0.672641\pi\) | |||||||
\(558\) | −0.789147 | −0.0334073 | ||||||||
\(559\) | 2.07620 | − | 2.60347i | 0.0878138 | − | 0.110115i | ||||
\(560\) | 4.78139 | − | 3.16362i | 0.202051 | − | 0.133688i | ||||
\(561\) | 17.9720 | + | 22.5362i | 0.758780 | + | 0.951480i | ||||
\(562\) | −10.4644 | − | 13.1220i | −0.441416 | − | 0.553518i | ||||
\(563\) | −23.4933 | + | 11.3138i | −0.990125 | + | 0.476819i | −0.857576 | − | 0.514357i | \(-0.828031\pi\) |
−0.132549 | + | 0.991176i | \(0.542316\pi\) | |||||||
\(564\) | −4.41664 | + | 2.12694i | −0.185974 | + | 0.0895605i | ||||
\(565\) | −12.8851 | − | 16.1574i | −0.542080 | − | 0.679747i | ||||
\(566\) | −11.2010 | − | 14.0456i | −0.470812 | − | 0.590380i | ||||
\(567\) | −0.420355 | + | 4.72801i | −0.0176532 | + | 0.198558i | ||||
\(568\) | −2.88060 | + | 3.61215i | −0.120867 | + | 0.151563i | ||||
\(569\) | −1.05270 | −0.0441316 | −0.0220658 | − | 0.999757i | \(-0.507024\pi\) | ||||
−0.0220658 | + | 0.999757i | \(0.507024\pi\) | |||||||
\(570\) | −11.4151 | −0.478124 | ||||||||
\(571\) | −0.626983 | + | 0.786212i | −0.0262384 | + | 0.0329019i | −0.794778 | − | 0.606901i | \(-0.792413\pi\) |
0.768539 | + | 0.639803i | \(0.220984\pi\) | |||||||
\(572\) | 5.15602 | − | 22.5900i | 0.215584 | − | 0.944535i | ||||
\(573\) | 13.2772 | − | 6.39394i | 0.554661 | − | 0.267111i | ||||
\(574\) | −1.39301 | − | 3.69944i | −0.0581430 | − | 0.154412i | ||||
\(575\) | −1.97379 | − | 0.950526i | −0.0823126 | − | 0.0396397i | ||||
\(576\) | −1.31660 | + | 1.65096i | −0.0548582 | + | 0.0687900i | ||||
\(577\) | −22.1712 | − | 10.6771i | −0.923001 | − | 0.444494i | −0.0888594 | − | 0.996044i | \(-0.528322\pi\) |
−0.834142 | + | 0.551550i | \(0.814036\pi\) | |||||||
\(578\) | −1.89949 | + | 8.32223i | −0.0790085 | + | 0.346159i | ||||
\(579\) | −8.67144 | + | 4.17595i | −0.360373 | + | 0.173546i | ||||
\(580\) | −0.0369464 | − | 0.161873i | −0.00153411 | − | 0.00672139i | ||||
\(581\) | −13.0816 | + | 21.9489i | −0.542715 | + | 0.910595i | ||||
\(582\) | −0.0949305 | + | 0.415918i | −0.00393500 | + | 0.0172403i | ||||
\(583\) | 6.47787 | + | 28.3814i | 0.268286 | + | 1.17544i | ||||
\(584\) | 8.33579 | + | 10.4528i | 0.344937 | + | 0.432538i | ||||
\(585\) | −3.89844 | − | 17.0802i | −0.161181 | − | 0.706179i | ||||
\(586\) | −6.14165 | − | 2.95766i | −0.253709 | − | 0.122180i | ||||
\(587\) | 21.7732 | 0.898677 | 0.449339 | − | 0.893362i | \(-0.351660\pi\) | ||||
0.449339 | + | 0.893362i | \(0.351660\pi\) | |||||||
\(588\) | 3.13902 | + | 5.80305i | 0.129451 | + | 0.239314i | ||||
\(589\) | −2.08867 | −0.0860623 | ||||||||
\(590\) | 11.4559 | + | 5.51685i | 0.471630 | + | 0.227125i | ||||
\(591\) | 3.61660 | + | 15.8454i | 0.148767 | + | 0.651791i | ||||
\(592\) | 3.74078 | + | 4.69079i | 0.153745 | + | 0.192790i | ||||
\(593\) | −0.738868 | − | 3.23719i | −0.0303417 | − | 0.132936i | 0.957489 | − | 0.288471i | \(-0.0931469\pi\) |
−0.987830 | + | 0.155535i | \(0.950290\pi\) | |||||||
\(594\) | 6.48817 | − | 28.4265i | 0.266213 | − | 1.16635i | ||||
\(595\) | −28.7056 | + | 3.92018i | −1.17682 | + | 0.160712i | ||||
\(596\) | −1.26034 | − | 5.52190i | −0.0516254 | − | 0.226186i | ||||
\(597\) | 14.5794 | − | 7.02108i | 0.596696 | − | 0.287354i | ||||
\(598\) | 6.13430 | − | 26.8761i | 0.250850 | − | 1.09905i | ||||
\(599\) | −9.24164 | − | 4.45054i | −0.377603 | − | 0.181844i | 0.235449 | − | 0.971887i | \(-0.424344\pi\) |
−0.613052 | + | 0.790043i | \(0.710058\pi\) | |||||||
\(600\) | 0.178797 | − | 0.224204i | 0.00729936 | − | 0.00915310i | ||||
\(601\) | 31.7589 | + | 15.2943i | 1.29547 | + | 0.623867i | 0.949320 | − | 0.314311i | \(-0.101774\pi\) |
0.346153 | + | 0.938178i | \(0.387488\pi\) | |||||||
\(602\) | −0.203785 | + | 2.29210i | −0.00830566 | + | 0.0934192i | ||||
\(603\) | −5.44164 | + | 2.62055i | −0.221601 | + | 0.106717i | ||||
\(604\) | −1.77266 | + | 7.76652i | −0.0721284 | + | 0.316015i | ||||
\(605\) | −34.6238 | + | 43.4169i | −1.40766 | + | 1.76515i | ||||
\(606\) | 9.77642 | 0.397140 | ||||||||
\(607\) | 29.4773 | 1.19645 | 0.598223 | − | 0.801330i | \(-0.295874\pi\) | ||||
0.598223 | + | 0.801330i | \(0.295874\pi\) | |||||||
\(608\) | −3.48470 | + | 4.36967i | −0.141323 | + | 0.177214i | ||||
\(609\) | 0.189311 | − | 0.0258532i | 0.00767126 | − | 0.00104762i | ||||
\(610\) | −10.3723 | − | 13.0065i | −0.419964 | − | 0.526618i | ||||
\(611\) | −12.4156 | − | 15.5686i | −0.502279 | − | 0.629839i | ||||
\(612\) | 9.61417 | − | 4.62994i | 0.388630 | − | 0.187154i | ||||
\(613\) | 10.8861 | − | 5.24246i | 0.439684 | − | 0.211741i | −0.200927 | − | 0.979606i | \(-0.564395\pi\) |
0.640611 | + | 0.767865i | \(0.278681\pi\) | |||||||
\(614\) | −6.49773 | − | 8.14789i | −0.262227 | − | 0.328822i | ||||
\(615\) | 1.90262 | + | 2.38581i | 0.0767210 | + | 0.0962051i | ||||
\(616\) | 5.64252 | + | 14.9850i | 0.227344 | + | 0.603762i | ||||
\(617\) | 14.4154 | − | 18.0763i | 0.580341 | − | 0.727725i | −0.401830 | − | 0.915714i | \(-0.631626\pi\) |
0.982171 | + | 0.187990i | \(0.0601972\pi\) | |||||||
\(618\) | −5.96870 | −0.240097 | ||||||||
\(619\) | −25.6225 | −1.02986 | −0.514928 | − | 0.857233i | \(-0.672181\pi\) | ||||
−0.514928 | + | 0.857233i | \(0.672181\pi\) | |||||||
\(620\) | −0.504913 | + | 0.633140i | −0.0202778 | + | 0.0254275i | ||||
\(621\) | 7.71921 | − | 33.8201i | 0.309761 | − | 1.35715i | ||||
\(622\) | −11.0709 | + | 5.33149i | −0.443905 | + | 0.213773i | ||||
\(623\) | 16.1981 | − | 27.1780i | 0.648963 | − | 1.08886i | ||||
\(624\) | 3.25121 | + | 1.56570i | 0.130152 | + | 0.0626781i | ||||
\(625\) | −14.5810 | + | 18.2840i | −0.583241 | + | 0.731361i | ||||
\(626\) | −9.52742 | − | 4.58817i | −0.380792 | − | 0.183380i | ||||
\(627\) | 7.09408 | − | 31.0812i | 0.283310 | − | 1.24126i | ||||
\(628\) | −13.9070 | + | 6.69727i | −0.554951 | + | 0.267250i | ||||
\(629\) | −6.74656 | − | 29.5586i | −0.269003 | − | 1.17858i | ||||
\(630\) | 8.75971 | + | 8.35696i | 0.348995 | + | 0.332949i | ||||
\(631\) | −3.44291 | + | 15.0844i | −0.137060 | + | 0.600499i | 0.859012 | + | 0.511955i | \(0.171079\pi\) |
−0.996072 | + | 0.0885442i | \(0.971779\pi\) | |||||||
\(632\) | 1.57239 | + | 6.88907i | 0.0625462 | + | 0.274033i | ||||
\(633\) | −4.98926 | − | 6.25633i | −0.198305 | − | 0.248667i | ||||
\(634\) | −5.09877 | − | 22.3392i | −0.202498 | − | 0.887202i | ||||
\(635\) | −31.6298 | − | 15.2321i | −1.25519 | − | 0.604468i | ||||
\(636\) | −4.53370 | −0.179773 | ||||||||
\(637\) | −20.1443 | + | 17.6768i | −0.798148 | + | 0.700382i | ||||
\(638\) | 0.463712 | 0.0183585 | ||||||||
\(639\) | −8.78995 | − | 4.23301i | −0.347725 | − | 0.167455i | ||||
\(640\) | 0.482195 | + | 2.11264i | 0.0190604 | + | 0.0835093i | ||||
\(641\) | −8.36897 | − | 10.4944i | −0.330554 | − | 0.414502i | 0.588585 | − | 0.808436i | \(-0.299685\pi\) |
−0.919139 | + | 0.393934i | \(0.871114\pi\) | |||||||
\(642\) | 1.58061 | + | 6.92511i | 0.0623817 | + | 0.273312i | ||||
\(643\) | 8.54565 | − | 37.4409i | 0.337008 | − | 1.47653i | −0.468247 | − | 0.883598i | \(-0.655114\pi\) |
0.805255 | − | 0.592929i | \(-0.202029\pi\) | |||||||
\(644\) | 6.71311 | + | 17.8282i | 0.264534 | + | 0.702528i | ||||
\(645\) | −0.395283 | − | 1.73185i | −0.0155643 | − | 0.0681915i | ||||
\(646\) | 25.4463 | − | 12.2543i | 1.00117 | − | 0.482138i | ||||
\(647\) | −2.81078 | + | 12.3149i | −0.110503 | + | 0.484147i | 0.889145 | + | 0.457626i | \(0.151300\pi\) |
−0.999648 | + | 0.0265210i | \(0.991557\pi\) | |||||||
\(648\) | −1.61640 | − | 0.778417i | −0.0634982 | − | 0.0305791i | ||||
\(649\) | −22.1408 | + | 27.7637i | −0.869104 | + | 1.08982i | ||||
\(650\) | 1.04953 | + | 0.505427i | 0.0411659 | + | 0.0198245i | ||||
\(651\) | −0.674278 | − | 0.643277i | −0.0264271 | − | 0.0252120i | ||||
\(652\) | −5.20046 | + | 2.50441i | −0.203666 | + | 0.0980803i | ||||
\(653\) | −3.30706 | + | 14.4892i | −0.129415 | + | 0.567005i | 0.868090 | + | 0.496407i | \(0.165348\pi\) |
−0.997505 | + | 0.0705974i | \(0.977509\pi\) | |||||||
\(654\) | −2.93149 | + | 3.67597i | −0.114630 | + | 0.143742i | ||||
\(655\) | 18.9783 | 0.741545 | ||||||||
\(656\) | 1.49410 | 0.0583348 | ||||||||
\(657\) | −17.6023 | + | 22.0726i | −0.686732 | + | 0.861135i | ||||
\(658\) | 13.0918 | + | 4.23809i | 0.510373 | + | 0.165218i | ||||
\(659\) | 14.1868 | + | 17.7897i | 0.552640 | + | 0.692988i | 0.977178 | − | 0.212422i | \(-0.0681350\pi\) |
−0.424538 | + | 0.905410i | \(0.639564\pi\) | |||||||
\(660\) | −7.70675 | − | 9.66395i | −0.299985 | − | 0.376169i | ||||
\(661\) | −11.6019 | + | 5.58719i | −0.451262 | + | 0.217316i | −0.645689 | − | 0.763601i | \(-0.723430\pi\) |
0.194427 | + | 0.980917i | \(0.437715\pi\) | |||||||
\(662\) | −9.51601 | + | 4.58267i | −0.369850 | + | 0.178111i | ||||
\(663\) | −11.3695 | − | 14.2569i | −0.441556 | − | 0.553694i | ||||
\(664\) | −6.02141 | − | 7.55061i | −0.233676 | − | 0.293020i | ||||
\(665\) | 23.1847 | + | 22.1188i | 0.899066 | + | 0.857729i | ||||
\(666\) | −7.89925 | + | 9.90535i | −0.306090 | + | 0.383825i | ||||
\(667\) | 0.551695 | 0.0213617 | ||||||||
\(668\) | 7.32613 | 0.283457 | ||||||||
\(669\) | −7.32337 | + | 9.18322i | −0.283138 | + | 0.355044i | ||||
\(670\) | −1.37918 | + | 6.04256i | −0.0532822 | + | 0.233445i | ||||
\(671\) | 41.8605 | − | 20.1590i | 1.61601 | − | 0.778228i | ||||
\(672\) | −2.47074 | + | 0.337416i | −0.0953108 | + | 0.0130161i | ||||
\(673\) | 42.7869 | + | 20.6051i | 1.64931 | + | 0.794268i | 0.999413 | + | 0.0342481i | \(0.0109037\pi\) |
0.649900 | + | 0.760019i | \(0.274811\pi\) | |||||||
\(674\) | −21.5466 | + | 27.0186i | −0.829944 | + | 1.04072i | ||||
\(675\) | 1.32069 | + | 0.636013i | 0.0508335 | + | 0.0244801i | ||||
\(676\) | −0.369045 | + | 1.61689i | −0.0141940 | + | 0.0621881i | ||||
\(677\) | 34.3026 | − | 16.5193i | 1.31836 | − | 0.634887i | 0.363401 | − | 0.931633i | \(-0.381616\pi\) |
0.954957 | + | 0.296746i | \(0.0959013\pi\) | |||||||
\(678\) | 2.00017 | + | 8.76333i | 0.0768161 | + | 0.336554i | ||||
\(679\) | 0.998727 | − | 0.660811i | 0.0383276 | − | 0.0253596i | ||||
\(680\) | 2.43670 | − | 10.6759i | 0.0934431 | − | 0.409401i | ||||
\(681\) | −0.435890 | − | 1.90976i | −0.0167033 | − | 0.0731821i | ||||
\(682\) | −1.41014 | − | 1.76826i | −0.0539972 | − | 0.0677103i | ||||
\(683\) | 9.12650 | + | 39.9858i | 0.349216 | + | 1.53001i | 0.778966 | + | 0.627067i | \(0.215745\pi\) |
−0.429750 | + | 0.902948i | \(0.641398\pi\) | |||||||
\(684\) | −10.6333 | − | 5.12074i | −0.406575 | − | 0.195796i | ||||
\(685\) | 5.77649 | 0.220708 | ||||||||
\(686\) | 4.86890 | − | 17.8688i | 0.185896 | − | 0.682234i | ||||
\(687\) | 0.791511 | 0.0301980 | ||||||||
\(688\) | −0.783619 | − | 0.377371i | −0.0298752 | − | 0.0143871i | ||||
\(689\) | −4.09805 | − | 17.9547i | −0.156123 | − | 0.684021i | ||||
\(690\) | −9.16900 | − | 11.4976i | −0.349058 | − | 0.437705i | ||||
\(691\) | −5.39136 | − | 23.6211i | −0.205097 | − | 0.898588i | −0.967776 | − | 0.251811i | \(-0.918974\pi\) |
0.762679 | − | 0.646777i | \(-0.223883\pi\) | |||||||
\(692\) | 2.48111 | − | 10.8704i | 0.0943175 | − | 0.413232i | ||||
\(693\) | −28.1984 | + | 18.6576i | −1.07117 | + | 0.708743i | ||||
\(694\) | 3.55238 | + | 15.5640i | 0.134847 | + | 0.590801i | ||||
\(695\) | 31.0098 | − | 14.9335i | 1.17627 | − | 0.566462i | ||||
\(696\) | −0.0160698 | + | 0.0704063i | −0.000609123 | + | 0.00266874i | ||||
\(697\) | −6.80249 | − | 3.27591i | −0.257663 | − | 0.124084i | ||||
\(698\) | 23.0108 | − | 28.8546i | 0.870971 | − | 1.09216i | ||||
\(699\) | −11.1504 | − | 5.36977i | −0.421749 | − | 0.203103i | ||||
\(700\) | −0.797585 | + | 0.108922i | −0.0301459 | + | 0.00411687i | ||||
\(701\) | −15.2526 | + | 7.34527i | −0.576083 | + | 0.277427i | −0.699154 | − | 0.714971i | \(-0.746440\pi\) |
0.123071 | + | 0.992398i | \(0.460726\pi\) | |||||||
\(702\) | −4.10457 | + | 17.9833i | −0.154917 | + | 0.678735i | ||||
\(703\) | −20.9073 | + | 26.2170i | −0.788535 | + | 0.988791i | ||||
\(704\) | −6.05200 | −0.228094 | ||||||||
\(705\) | −10.6227 | −0.400074 | ||||||||
\(706\) | −11.6798 | + | 14.6460i | −0.439575 | + | 0.551210i | ||||
\(707\) | −19.8566 | − | 18.9436i | −0.746783 | − | 0.712447i | ||||
\(708\) | −3.44814 | − | 4.32383i | −0.129589 | − | 0.162500i | ||||
\(709\) | 10.1263 | + | 12.6980i | 0.380301 | + | 0.476882i | 0.934735 | − | 0.355346i | \(-0.115637\pi\) |
−0.554434 | + | 0.832227i | \(0.687065\pi\) | |||||||
\(710\) | −9.02017 | + | 4.34389i | −0.338521 | + | 0.163023i | ||||
\(711\) | −13.4438 | + | 6.47419i | −0.504181 | + | 0.242801i | ||||
\(712\) | 7.45594 | + | 9.34945i | 0.279423 | + | 0.350385i | ||||
\(713\) | −1.67770 | − | 2.10377i | −0.0628303 | − | 0.0787867i | ||||
\(714\) | 11.9888 | + | 3.88103i | 0.448671 | + | 0.145244i | ||||
\(715\) | 31.3058 | − | 39.2563i | 1.17077 | − | 1.46810i | ||||
\(716\) | 17.1087 | 0.639383 | ||||||||
\(717\) | −9.19125 | −0.343254 | ||||||||
\(718\) | −14.3753 | + | 18.0261i | −0.536482 | + | 0.672727i | ||||
\(719\) | 2.56864 | − | 11.2539i | 0.0957941 | − | 0.419701i | −0.904178 | − | 0.427156i | \(-0.859516\pi\) |
0.999972 | + | 0.00745420i | \(0.00237277\pi\) | |||||||
\(720\) | −4.12273 | + | 1.98540i | −0.153645 | + | 0.0739917i | ||||
\(721\) | 12.1228 | + | 11.5655i | 0.451478 | + | 0.430720i | ||||
\(722\) | −11.0253 | − | 5.30950i | −0.410319 | − | 0.197599i | ||||
\(723\) | 12.1824 | − | 15.2762i | 0.453068 | − | 0.568129i | ||||
\(724\) | −11.3492 | − | 5.46551i | −0.421791 | − | 0.203124i | ||||
\(725\) | −0.00518752 | + | 0.0227280i | −0.000192660 | + | 0.000844098i | ||||
\(726\) | 21.7618 | − | 10.4799i | 0.807654 | − | 0.388946i | ||||
\(727\) | 8.12129 | + | 35.5817i | 0.301202 | + | 1.31965i | 0.868315 | + | 0.496012i | \(0.165203\pi\) |
−0.567114 | + | 0.823640i | \(0.691940\pi\) | |||||||
\(728\) | −3.56959 | − | 9.47984i | −0.132298 | − | 0.351346i | ||||
\(729\) | −2.18833 | + | 9.58769i | −0.0810491 | + | 0.355100i | ||||
\(730\) | 6.44674 | + | 28.2450i | 0.238605 | + | 1.04540i | ||||
\(731\) | 2.74033 | + | 3.43627i | 0.101355 | + | 0.127095i | ||||
\(732\) | 1.61011 | + | 7.05437i | 0.0595115 | + | 0.260737i | ||||
\(733\) | 7.46210 | + | 3.59356i | 0.275619 | + | 0.132731i | 0.566588 | − | 0.824002i | \(-0.308263\pi\) |
−0.290969 | + | 0.956733i | \(0.593978\pi\) | |||||||
\(734\) | 16.1379 | 0.595661 | ||||||||
\(735\) | 0.672434 | + | 14.2810i | 0.0248031 | + | 0.526764i | ||||
\(736\) | −7.20029 | −0.265406 | ||||||||
\(737\) | −15.5957 | − | 7.51050i | −0.574476 | − | 0.276653i | ||||
\(738\) | 0.702060 | + | 3.07593i | 0.0258432 | + | 0.113226i | ||||
\(739\) | 1.50634 | + | 1.88889i | 0.0554116 | + | 0.0694839i | 0.808765 | − | 0.588132i | \(-0.200136\pi\) |
−0.753353 | + | 0.657616i | \(0.771565\pi\) | |||||||
\(740\) | 2.89305 | + | 12.6753i | 0.106351 | + | 0.465953i | ||||
\(741\) | −4.48788 | + | 19.6627i | −0.164866 | + | 0.722327i | ||||
\(742\) | 9.20824 | + | 8.78486i | 0.338045 | + | 0.322502i | ||||
\(743\) | 10.8949 | + | 47.7339i | 0.399697 | + | 1.75119i | 0.628593 | + | 0.777735i | \(0.283631\pi\) |
−0.228896 | + | 0.973451i | \(0.573512\pi\) | |||||||
\(744\) | 0.317347 | − | 0.152826i | 0.0116345 | − | 0.00560289i | ||||
\(745\) | 2.73111 | − | 11.9658i | 0.100060 | − | 0.438392i | ||||
\(746\) | −9.83836 | − | 4.73791i | −0.360208 | − | 0.173467i | ||||
\(747\) | 12.7152 | − | 15.9443i | 0.465223 | − | 0.583371i | ||||
\(748\) | 27.5542 | + | 13.2694i | 1.00748 | + | 0.485177i | ||||
\(749\) | 10.2083 | − | 17.1281i | 0.373004 | − | 0.625846i | ||||
\(750\) | 9.76061 | − | 4.70046i | 0.356407 | − | 0.171637i | ||||
\(751\) | 10.9933 | − | 48.1647i | 0.401151 | − | 1.75756i | −0.221601 | − | 0.975137i | \(-0.571128\pi\) |
0.622752 | − | 0.782419i | \(-0.286015\pi\) | |||||||
\(752\) | −3.24281 | + | 4.06636i | −0.118253 | + | 0.148285i | ||||
\(753\) | −5.77314 | −0.210385 | ||||||||
\(754\) | −0.293355 | −0.0106833 | ||||||||
\(755\) | −10.7631 | + | 13.4964i | −0.391708 | + | 0.491186i | ||||
\(756\) | −4.49186 | − | 11.9291i | −0.163367 | − | 0.433858i | ||||
\(757\) | −12.7822 | − | 16.0283i | −0.464576 | − | 0.582560i | 0.493258 | − | 0.869883i | \(-0.335806\pi\) |
−0.957834 | + | 0.287323i | \(0.907235\pi\) | |||||||
\(758\) | 20.0052 | + | 25.0857i | 0.726621 | + | 0.911154i | ||||
\(759\) | 37.0041 | − | 17.8202i | 1.34316 | − | 0.646833i | ||||
\(760\) | −10.9118 | + | 5.25486i | −0.395814 | + | 0.190614i | ||||
\(761\) | 16.9411 | + | 21.2435i | 0.614115 | + | 0.770076i | 0.987503 | − | 0.157599i | \(-0.0503754\pi\) |
−0.373388 | + | 0.927675i | \(0.621804\pi\) | |||||||
\(762\) | 9.52038 | + | 11.9382i | 0.344887 | + | 0.432475i | ||||
\(763\) | 13.0769 | − | 1.78585i | 0.473416 | − | 0.0646520i | ||||
\(764\) | 9.74842 | − | 12.2241i | 0.352686 | − | 0.442254i | ||||
\(765\) | 23.1235 | 0.836033 | ||||||||
\(766\) | 4.32205 | 0.156162 | ||||||||
\(767\) | 14.0068 | − | 17.5640i | 0.505757 | − | 0.634199i | ||||
\(768\) | 0.209730 | − | 0.918888i | 0.00756799 | − | 0.0331575i | ||||
\(769\) | 24.8197 | − | 11.9525i | 0.895022 | − | 0.431020i | 0.0709336 | − | 0.997481i | \(-0.477402\pi\) |
0.824088 | + | 0.566461i | \(0.191688\pi\) | |||||||
\(770\) | −3.07276 | + | 34.5614i | −0.110735 | + | 1.24550i | ||||
\(771\) | −20.6125 | − | 9.92645i | −0.742340 | − | 0.357492i | ||||
\(772\) | −6.36679 | + | 7.98370i | −0.229146 | + | 0.287340i | ||||
\(773\) | −25.8634 | − | 12.4552i | −0.930243 | − | 0.447982i | −0.0935261 | − | 0.995617i | \(-0.529814\pi\) |
−0.836717 | + | 0.547635i | \(0.815528\pi\) | |||||||
\(774\) | 0.408686 | − | 1.79057i | 0.0146899 | − | 0.0643607i | ||||
\(775\) | 0.102444 | − | 0.0493343i | 0.00367988 | − | 0.00177214i | ||||
\(776\) | 0.100720 | + | 0.441283i | 0.00361564 | + | 0.0158411i | ||||
\(777\) | −14.8238 | + | 2.02441i | −0.531802 | + | 0.0726254i | ||||
\(778\) | 5.59116 | − | 24.4965i | 0.200453 | − | 0.878241i | ||||
\(779\) | 1.85817 | + | 8.14119i | 0.0665760 | + | 0.291689i | ||||
\(780\) | 4.87547 | + | 6.11364i | 0.174570 | + | 0.218903i | ||||
\(781\) | −6.22190 | − | 27.2599i | −0.222637 | − | 0.975437i | ||||
\(782\) | 32.7822 | + | 15.7871i | 1.17229 | + | 0.564545i | ||||
\(783\) | −0.369148 | −0.0131923 | ||||||||
\(784\) | 5.67204 | + | 4.10219i | 0.202573 | + | 0.146507i | ||||
\(785\) | −33.4485 | −1.19383 | ||||||||
\(786\) | −7.43714 | − | 3.58154i | −0.265274 | − | 0.127749i | ||||
\(787\) | 4.18946 | + | 18.3552i | 0.149338 | + | 0.654293i | 0.993070 | + | 0.117527i | \(0.0374968\pi\) |
−0.843732 | + | 0.536765i | \(0.819646\pi\) | |||||||
\(788\) | 10.7515 | + | 13.4819i | 0.383006 | + | 0.480274i | ||||
\(789\) | 2.06708 | + | 9.05646i | 0.0735899 | + | 0.322418i | ||||
\(790\) | −3.40731 | + | 14.9284i | −0.121227 | + | 0.531128i | ||||
\(791\) | 12.9181 | − | 21.6746i | 0.459313 | − | 0.770660i | ||||
\(792\) | −2.84376 | − | 12.4593i | −0.101049 | − | 0.442724i | ||||
\(793\) | −26.4819 | + | 12.7530i | −0.940400 | + | 0.452873i | ||||
\(794\) | −1.86229 | + | 8.15921i | −0.0660901 | + | 0.289560i | ||||
\(795\) | −8.85145 | − | 4.26263i | −0.313928 | − | 0.151180i | ||||
\(796\) | 10.7046 | − | 13.4231i | 0.379414 | − | 0.475770i | ||||
\(797\) | −5.79644 | − | 2.79142i | −0.205320 | − | 0.0988771i | 0.328398 | − | 0.944540i | \(-0.393491\pi\) |
−0.533718 | + | 0.845662i | \(0.679206\pi\) | |||||||
\(798\) | −4.91134 | − | 13.0432i | −0.173859 | − | 0.461723i | ||||
\(799\) | 23.6799 | − | 11.4037i | 0.837736 | − | 0.403432i | ||||
\(800\) | 0.0677035 | − | 0.296629i | 0.00239368 | − | 0.0104874i | ||||
\(801\) | −15.7444 | + | 19.7428i | −0.556300 | + | 0.697579i | ||||
\(802\) | 22.1495 | 0.782126 | ||||||||
\(803\) | −80.9127 | −2.85535 | ||||||||
\(804\) | 1.68080 | − | 2.10766i | 0.0592772 | − | 0.0743313i | ||||
\(805\) | −3.65577 | + | 41.1189i | −0.128849 | + | 1.44925i | ||||
\(806\) | 0.892089 | + | 1.11864i | 0.0314225 | + | 0.0394026i | ||||
\(807\) | 16.7365 | + | 20.9869i | 0.589153 | + | 0.738774i | ||||
\(808\) | 9.34543 | − | 4.50052i | 0.328771 | − | 0.158328i | ||||
\(809\) | 33.2696 | − | 16.0218i | 1.16970 | − | 0.563296i | 0.254804 | − | 0.966993i | \(-0.417989\pi\) |
0.914893 | + | 0.403697i | \(0.132275\pi\) | |||||||
\(810\) | −2.42393 | − | 3.03952i | −0.0851683 | − | 0.106798i | ||||
\(811\) | −19.6076 | − | 24.5871i | −0.688515 | − | 0.863370i | 0.307593 | − | 0.951518i | \(-0.400477\pi\) |
−0.996107 | + | 0.0881480i | \(0.971905\pi\) | |||||||
\(812\) | 0.169064 | − | 0.111862i | 0.00593298 | − | 0.00392558i | ||||
\(813\) | −0.165486 | + | 0.207513i | −0.00580386 | + | 0.00727781i | ||||
\(814\) | −36.3105 | −1.27268 | ||||||||
\(815\) | −12.5079 | −0.438133 | ||||||||
\(816\) | −2.96960 | + | 3.72376i | −0.103957 | + | 0.130358i | ||||
\(817\) | 1.08169 | − | 4.73918i | 0.0378434 | − | 0.165803i | ||||
\(818\) | −21.5433 | + | 10.3747i | −0.753244 | + | 0.362743i | ||||
\(819\) | 17.8390 | − | 11.8032i | 0.623344 | − | 0.412438i | ||||
\(820\) | 2.91704 | + | 1.40477i | 0.101867 | + | 0.0490567i | ||||
\(821\) | −11.1818 | + | 14.0216i | −0.390249 | + | 0.489357i | −0.937683 | − | 0.347492i | \(-0.887033\pi\) |
0.547434 | + | 0.836849i | \(0.315605\pi\) | |||||||
\(822\) | −2.26366 | − | 1.09012i | −0.0789543 | − | 0.0380224i | ||||
\(823\) | 8.52226 | − | 37.3385i | 0.297067 | − | 1.30154i | −0.577403 | − | 0.816459i | \(-0.695934\pi\) |
0.874471 | − | 0.485078i | \(-0.161209\pi\) | |||||||
\(824\) | −5.70558 | + | 2.74766i | −0.198763 | + | 0.0957193i | ||||
\(825\) | 0.386190 | + | 1.69201i | 0.0134454 | + | 0.0589082i | ||||
\(826\) | −1.37481 | + | 15.4634i | −0.0478358 | + | 0.538040i | ||||
\(827\) | −3.35358 | + | 14.6930i | −0.116615 | + | 0.510926i | 0.882555 | + | 0.470209i | \(0.155821\pi\) |
−0.999171 | + | 0.0407170i | \(0.987036\pi\) | |||||||
\(828\) | −3.38333 | − | 14.8233i | −0.117579 | − | 0.515147i | ||||
\(829\) | 31.0918 | + | 38.9879i | 1.07986 | + | 1.35410i | 0.930905 | + | 0.365261i | \(0.119020\pi\) |
0.148957 | + | 0.988844i | \(0.452408\pi\) | |||||||
\(830\) | −4.65684 | − | 20.4030i | −0.161641 | − | 0.708197i | ||||
\(831\) | −14.2171 | − | 6.84658i | −0.493185 | − | 0.237505i | ||||
\(832\) | 3.82864 | 0.132734 | ||||||||
\(833\) | −16.8299 | − | 31.1132i | −0.583122 | − | 1.07801i | ||||
\(834\) | −14.9702 | −0.518376 | ||||||||
\(835\) | 14.3033 | + | 6.88811i | 0.494987 | + | 0.238373i | ||||
\(836\) | −7.52672 | − | 32.9767i | −0.260317 | − | 1.14052i | ||||
\(837\) | 1.12258 | + | 1.40767i | 0.0388019 | + | 0.0486561i | ||||
\(838\) | −1.70290 | − | 7.46090i | −0.0588258 | − | 0.257733i | ||||
\(839\) | 1.71858 | − | 7.52957i | 0.0593318 | − | 0.259950i | −0.936559 | − | 0.350509i | \(-0.886008\pi\) |
0.995891 | + | 0.0905597i | \(0.0288656\pi\) | |||||||
\(840\) | −5.14104 | − | 1.66426i | −0.177383 | − | 0.0574223i | ||||
\(841\) | 6.45180 | + | 28.2672i | 0.222476 | + | 0.974731i | ||||
\(842\) | 16.1940 | − | 7.79861i | 0.558081 | − | 0.268758i | ||||
\(843\) | −3.52004 | + | 15.4223i | −0.121237 | + | 0.531172i | ||||
\(844\) | −7.64938 | − | 3.68375i | −0.263303 | − | 0.126800i | ||||
\(845\) | −2.24073 | + | 2.80979i | −0.0770835 | + | 0.0966596i | ||||
\(846\) | −9.89522 | − | 4.76529i | −0.340205 | − | 0.163834i | ||||
\(847\) | −64.5063 | − | 20.8820i | −2.21646 | − | 0.717513i | ||||
\(848\) | −4.33383 | + | 2.08706i | −0.148824 | + | 0.0716700i | ||||
\(849\) | −3.76780 | + | 16.5078i | −0.129311 | + | 0.566546i | ||||
\(850\) | −0.958624 | + | 1.20208i | −0.0328805 | + | 0.0412309i | ||||
\(851\) | −43.2000 | −1.48088 | ||||||||
\(852\) | 4.35455 | 0.149184 | ||||||||
\(853\) | 20.0824 | − | 25.1825i | 0.687607 | − | 0.862232i | −0.308423 | − | 0.951249i | \(-0.599801\pi\) |
0.996030 | + | 0.0890171i | \(0.0283726\pi\) | |||||||
\(854\) | 10.3989 | − | 17.4478i | 0.355842 | − | 0.597051i | ||||
\(855\) | −15.9456 | − | 19.9951i | −0.545328 | − | 0.683819i | ||||
\(856\) | 4.69887 | + | 5.89219i | 0.160604 | + | 0.201391i | ||||
\(857\) | 36.6003 | − | 17.6258i | 1.25024 | − | 0.602085i | 0.312666 | − | 0.949863i | \(-0.398778\pi\) |
0.937577 | + | 0.347778i | \(0.113064\pi\) | |||||||
\(858\) | −19.6763 | + | 9.47561i | −0.671738 | + | 0.323492i | ||||
\(859\) | 35.3430 | + | 44.3187i | 1.20589 | + | 1.51213i | 0.801998 | + | 0.597326i | \(0.203770\pi\) |
0.403888 | + | 0.914808i | \(0.367658\pi\) | |||||||
\(860\) | −1.17510 | − | 1.47353i | −0.0400707 | − | 0.0502471i | ||||
\(861\) | −1.90749 | + | 3.20048i | −0.0650069 | + | 0.109072i | ||||
\(862\) | 8.58703 | − | 10.7678i | 0.292475 | − | 0.366753i | ||||
\(863\) | −30.3381 | −1.03272 | −0.516360 | − | 0.856372i | \(-0.672713\pi\) | ||||
−0.516360 | + | 0.856372i | \(0.672713\pi\) | |||||||
\(864\) | 4.81784 | 0.163906 | ||||||||
\(865\) | 15.0646 | − | 18.8903i | 0.512210 | − | 0.642291i | ||||
\(866\) | −8.79667 | + | 38.5407i | −0.298923 | + | 1.30967i | ||||
\(867\) | 7.24881 | − | 3.49085i | 0.246183 | − | 0.118555i | ||||
\(868\) | −0.940682 | − | 0.304518i | −0.0319288 | − | 0.0103360i | ||||
\(869\) | −38.5299 | − | 18.5550i | −1.30704 | − | 0.629435i | ||||
\(870\) | −0.0975709 | + | 0.122350i | −0.00330796 | + | 0.00414806i | ||||
\(871\) | 9.86621 | + | 4.75132i | 0.334304 | + | 0.160992i | ||||
\(872\) | −1.11004 | + | 4.86342i | −0.0375908 | + | 0.164696i | ||||
\(873\) | −0.861148 | + | 0.414707i | −0.0291455 | + | 0.0140357i | ||||
\(874\) | −8.95481 | − | 39.2336i | −0.302901 | − | 1.32710i | ||||
\(875\) | −28.9324 | − | 9.36601i | −0.978095 | − | 0.316629i | ||||
\(876\) | 2.80400 | − | 12.2851i | 0.0947385 | − | 0.415076i | ||||
\(877\) | −10.2964 | − | 45.1114i | −0.347684 | − | 1.52331i | −0.782422 | − | 0.622748i | \(-0.786016\pi\) |
0.434738 | − | 0.900557i | \(-0.356841\pi\) | |||||||
\(878\) | 9.26985 | + | 11.6240i | 0.312842 | + | 0.392292i | ||||
\(879\) | 1.42967 | + | 6.26380i | 0.0482216 | + | 0.211273i | ||||
\(880\) | −11.8157 | − | 5.69016i | −0.398309 | − | 0.191815i | ||||
\(881\) | −38.9385 | −1.31187 | −0.655936 | − | 0.754817i | \(-0.727726\pi\) | ||||
−0.655936 | + | 0.754817i | \(0.727726\pi\) | |||||||
\(882\) | −5.78002 | + | 13.6047i | −0.194623 | + | 0.458093i | ||||
\(883\) | 43.2138 | 1.45426 | 0.727130 | − | 0.686500i | \(-0.240854\pi\) | ||||
0.727130 | + | 0.686500i | \(0.240854\pi\) | |||||||
\(884\) | −17.4314 | − | 8.39453i | −0.586282 | − | 0.282339i | ||||
\(885\) | −2.66673 | − | 11.6837i | −0.0896411 | − | 0.392743i | ||||
\(886\) | 7.23847 | + | 9.07675i | 0.243181 | + | 0.304939i | ||||
\(887\) | −4.06433 | − | 17.8070i | −0.136467 | − | 0.597900i | −0.996195 | − | 0.0871487i | \(-0.972224\pi\) |
0.859729 | − | 0.510751i | \(-0.170633\pi\) | |||||||
\(888\) | 1.25833 | − | 5.51310i | 0.0422268 | − | 0.185008i | ||||
\(889\) | 3.79588 | − | 42.6947i | 0.127310 | − | 1.43194i | ||||
\(890\) | 5.76628 | + | 25.2637i | 0.193286 | + | 0.846842i | ||||
\(891\) | 9.78246 | − | 4.71098i | 0.327725 | − | 0.157824i | ||||
\(892\) | −2.77308 | + | 12.1497i | −0.0928496 | + | 0.406801i | ||||
\(893\) | −26.1901 | − | 12.6125i | −0.876420 | − | 0.422062i | ||||
\(894\) | −3.32840 | + | 4.17368i | −0.111318 | + | 0.139589i | ||||
\(895\) | 33.4025 | + | 16.0858i | 1.11652 | + | 0.537690i | ||||
\(896\) | −2.20649 | + | 1.45993i | −0.0737136 | + | 0.0487729i | ||||
\(897\) | −23.4096 | + | 11.2735i | −0.781624 | + | 0.376411i | ||||
\(898\) | 7.95258 | − | 34.8425i | 0.265381 | − | 1.16271i | ||||
\(899\) | −0.0178531 | + | 0.0223870i | −0.000595433 | + | 0.000746649i | ||||
\(900\) | 0.642486 | 0.0214162 | ||||||||
\(901\) | 24.3075 | 0.809801 | ||||||||
\(902\) | −5.63778 | + | 7.06956i | −0.187718 | + | 0.235391i | ||||
\(903\) | 1.80879 | − | 1.19679i | 0.0601926 | − | 0.0398267i | ||||
\(904\) | 5.94615 | + | 7.45623i | 0.197766 | + | 0.247991i | ||||
\(905\) | −17.0192 | − | 21.3414i | −0.565737 | − | 0.709411i | ||||
\(906\) | 6.76479 | − | 3.25775i | 0.224745 | − | 0.108231i | ||||
\(907\) | −27.1043 | + | 13.0528i | −0.899985 | + | 0.433410i | −0.825883 | − | 0.563841i | \(-0.809323\pi\) |
−0.0741013 | + | 0.997251i | \(0.523609\pi\) | |||||||
\(908\) | −1.29582 | − | 1.62491i | −0.0430033 | − | 0.0539245i | ||||
\(909\) | 13.6566 | + | 17.1248i | 0.452961 | + | 0.567995i | ||||
\(910\) | 1.94390 | − | 21.8643i | 0.0644396 | − | 0.724795i | ||||
\(911\) | 24.0574 | − | 30.1670i | 0.797057 | − | 0.999478i | −0.202738 | − | 0.979233i | \(-0.564984\pi\) |
0.999795 | − | 0.0202446i | \(-0.00644449\pi\) | |||||||
\(912\) | 5.26776 | 0.174433 | ||||||||
\(913\) | 58.4478 | 1.93434 | ||||||||
\(914\) | −12.6911 | + | 15.9141i | −0.419784 | + | 0.526392i | ||||
\(915\) | −3.48906 | + | 15.2866i | −0.115345 | + | 0.505359i | ||||
\(916\) | 0.756617 | − | 0.364368i | 0.0249993 | − | 0.0120390i | ||||
\(917\) | 8.16545 | + | 21.6852i | 0.269647 | + | 0.716107i | ||||
\(918\) | −21.9351 | − | 10.5634i | −0.723967 | − | 0.348644i | ||||
\(919\) | 14.4160 | − | 18.0771i | 0.475540 | − | 0.596309i | −0.484978 | − | 0.874527i | \(-0.661172\pi\) |
0.960518 | + | 0.278218i | \(0.0897437\pi\) | |||||||
\(920\) | −14.0576 | − | 6.76980i | −0.463466 | − | 0.223194i | ||||
\(921\) | −2.18571 | + | 9.57624i | −0.0720217 | + | 0.315548i | ||||
\(922\) | −18.1331 | + | 8.73242i | −0.597181 | + | 0.287587i | ||||
\(923\) | 3.93612 | + | 17.2453i | 0.129559 | + | 0.567635i | ||||
\(924\) | 7.72646 | − | 12.9639i | 0.254182 | − | 0.426480i | ||||
\(925\) | 0.406204 | − | 1.77970i | 0.0133559 | − | 0.0585161i | ||||
\(926\) | −4.41241 | − | 19.3320i | −0.145001 | − | 0.635290i | ||||
\(927\) | −8.33763 | − | 10.4551i | −0.273844 | − | 0.343389i | ||||
\(928\) | 0.0170498 | + | 0.0747001i | 0.000559688 | + | 0.00245215i | ||||
\(929\) | −2.51628 | − | 1.21178i | −0.0825565 | − | 0.0397571i | 0.392150 | − | 0.919901i | \(-0.371731\pi\) |
−0.474706 | + | 0.880144i | \(0.657446\pi\) | |||||||
\(930\) | 0.763268 | 0.0250285 | ||||||||
\(931\) | −15.2982 | + | 36.0081i | −0.501379 | + | 1.18012i | ||||
\(932\) | −13.1308 | −0.430115 | ||||||||
\(933\) | 10.4346 | + | 5.02503i | 0.341613 | + | 0.164512i | ||||
\(934\) | −0.0710168 | − | 0.311145i | −0.00232374 | − | 0.0101810i | ||||
\(935\) | 41.3199 | + | 51.8135i | 1.35131 | + | 1.69448i | ||||
\(936\) | 1.79903 | + | 7.88207i | 0.0588032 | + | 0.257634i | ||||
\(937\) | −10.5327 | + | 46.1467i | −0.344088 | + | 1.50755i | 0.446268 | + | 0.894899i | \(0.352753\pi\) |
−0.790356 | + | 0.612648i | \(0.790104\pi\) | |||||||
\(938\) | −7.49778 | + | 1.02393i | −0.244811 | + | 0.0334326i | ||||
\(939\) | 2.21782 | + | 9.71692i | 0.0723759 | + | 0.317100i | ||||
\(940\) | −10.1544 | + | 4.89010i | −0.331200 | + | 0.159498i | ||||
\(941\) | 3.51983 | − | 15.4214i | 0.114743 | − | 0.502723i | −0.884595 | − | 0.466359i | \(-0.845565\pi\) |
0.999339 | − | 0.0363635i | \(-0.0115774\pi\) | |||||||
\(942\) | 13.1076 | + | 6.31231i | 0.427070 | + | 0.205666i | ||||
\(943\) | −6.70748 | + | 8.41091i | −0.218426 | + | 0.273897i | ||||
\(944\) | −5.28659 | − | 2.54589i | −0.172064 | − | 0.0828615i | ||||
\(945\) | 2.44614 | − | 27.5134i | 0.0795729 | − | 0.895009i | ||||
\(946\) | 4.74247 | − | 2.28385i | 0.154191 | − | 0.0742544i | ||||
\(947\) | 1.83076 | − | 8.02110i | 0.0594918 | − | 0.260651i | −0.936432 | − | 0.350849i | \(-0.885893\pi\) |
0.995924 | + | 0.0901984i | \(0.0287501\pi\) | |||||||
\(948\) | 4.15248 | − | 5.20705i | 0.134866 | − | 0.169117i | ||||
\(949\) | 51.1872 | 1.66161 | ||||||||
\(950\) | 1.70050 | 0.0551715 | ||||||||
\(951\) | −13.4652 | + | 16.8849i | −0.436641 | + | 0.547530i | ||||
\(952\) | 13.2469 | − | 1.80906i | 0.429335 | − | 0.0586321i | ||||
\(953\) | 15.3988 | + | 19.3094i | 0.498815 | + | 0.625494i | 0.965962 | − | 0.258686i | \(-0.0832894\pi\) |
−0.467147 | + | 0.884180i | \(0.654718\pi\) | |||||||
\(954\) | −6.33308 | − | 7.94143i | −0.205041 | − | 0.257113i | ||||
\(955\) | 30.5258 | − | 14.7004i | 0.987791 | − | 0.475695i | ||||
\(956\) | −8.78606 | + | 4.23114i | −0.284162 | + | 0.136845i | ||||
\(957\) | −0.272501 | − | 0.341705i | −0.00880870 | − | 0.0110458i | ||||
\(958\) | −22.0132 | − | 27.6036i | −0.711213 | − | 0.891833i | ||||
\(959\) | 2.48534 | + | 6.60037i | 0.0802558 | + | 0.213137i | ||||
\(960\) | 1.27342 | − | 1.59682i | 0.0410995 | − | 0.0515371i | ||||
\(961\) | −30.8603 | −0.995495 | ||||||||
\(962\) | 22.9709 | 0.740611 | ||||||||
\(963\) | −9.92240 | + | 12.4423i | −0.319745 | + | 0.400947i | ||||
\(964\) | 4.61300 | − | 20.2109i | 0.148575 | − | 0.650949i | ||||
\(965\) | −19.9367 | + | 9.60101i | −0.641785 | + | 0.309067i | ||||
\(966\) | 9.19245 | − | 15.4236i | 0.295762 | − | 0.496245i | ||||
\(967\) | −38.1331 | − | 18.3639i | −1.22628 | − | 0.590544i | −0.295224 | − | 0.955428i | \(-0.595394\pi\) |
−0.931053 | + | 0.364884i | \(0.881108\pi\) | |||||||
\(968\) | 15.9780 | − | 20.0358i | 0.513553 | − | 0.643975i | ||||
\(969\) | −23.9836 | − | 11.5499i | −0.770464 | − | 0.371036i | ||||
\(970\) | −0.218257 | + | 0.956245i | −0.00700780 | + | 0.0307032i | ||||
\(971\) | −14.0707 | + | 6.77608i | −0.451549 | + | 0.217455i | −0.645815 | − | 0.763494i | \(-0.723482\pi\) |
0.194265 | + | 0.980949i | \(0.437768\pi\) | |||||||
\(972\) | 3.59248 | + | 15.7397i | 0.115229 | + | 0.504850i | ||||
\(973\) | 30.4055 | + | 29.0075i | 0.974755 | + | 0.929937i | ||||
\(974\) | −4.14032 | + | 18.1399i | −0.132664 | + | 0.581240i | ||||
\(975\) | −0.244313 | − | 1.07040i | −0.00782427 | − | 0.0342804i | ||||
\(976\) | 4.78657 | + | 6.00217i | 0.153214 | + | 0.192125i | ||||
\(977\) | −0.0899113 | − | 0.393927i | −0.00287652 | − | 0.0126028i | 0.973469 | − | 0.228818i | \(-0.0734860\pi\) |
−0.976346 | + | 0.216215i | \(0.930629\pi\) | |||||||
\(978\) | 4.90154 | + | 2.36046i | 0.156734 | + | 0.0754790i | ||||
\(979\) | −72.3723 | −2.31303 | ||||||||
\(980\) | 7.21699 | + | 13.3419i | 0.230538 | + | 0.426192i | ||||
\(981\) | −10.5340 | −0.336324 | ||||||||
\(982\) | 13.8812 | + | 6.68485i | 0.442968 | + | 0.213322i | ||||
\(983\) | −5.89500 | − | 25.8277i | −0.188021 | − | 0.823775i | −0.977658 | − | 0.210201i | \(-0.932588\pi\) |
0.789637 | − | 0.613574i | \(-0.210269\pi\) | |||||||
\(984\) | −0.878010 | − | 1.10099i | −0.0279899 | − | 0.0350983i | ||||
\(985\) | 8.31500 | + | 36.4304i | 0.264938 | + | 1.16077i | ||||
\(986\) | 0.0861585 | − | 0.377485i | 0.00274385 | − | 0.0120216i | ||||
\(987\) | −4.57042 | − | 12.1378i | −0.145478 | − | 0.386350i | ||||
\(988\) | 4.76158 | + | 20.8618i | 0.151486 | + | 0.663704i | ||||
\(989\) | 5.64228 | − | 2.71718i | 0.179414 | − | 0.0864013i | ||||
\(990\) | 6.16234 | − | 26.9990i | 0.195852 | − | 0.858084i | ||||
\(991\) | 47.6062 | + | 22.9260i | 1.51226 | + | 0.728267i | 0.992059 | − | 0.125776i | \(-0.0401420\pi\) |
0.520203 | + | 0.854043i | \(0.325856\pi\) | |||||||
\(992\) | 0.233004 | − | 0.292178i | 0.00739790 | − | 0.00927667i | ||||
\(993\) | 8.96903 | + | 4.31926i | 0.284623 | + | 0.137067i | ||||
\(994\) | −8.84438 | − | 8.43773i | −0.280527 | − | 0.267629i | ||||
\(995\) | 33.5199 | − | 16.1423i | 1.06265 | − | 0.511746i | ||||
\(996\) | −2.02549 | + | 8.87425i | −0.0641801 | + | 0.281191i | ||||
\(997\) | −37.7887 | + | 47.3856i | −1.19678 | + | 1.50072i | −0.378793 | + | 0.925481i | \(0.623661\pi\) |
−0.817988 | + | 0.575235i | \(0.804911\pi\) | |||||||
\(998\) | 40.5539 | 1.28371 | ||||||||
\(999\) | 28.9058 | 0.914540 |
(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 | 98.2.e.a.29.3 | ✓ | 18 | |
3.2 | odd | 2 | 882.2.u.j.127.1 | 18 | |||
4.3 | odd | 2 | 784.2.u.c.225.1 | 18 | |||
7.2 | even | 3 | 686.2.g.i.459.1 | 36 | |||
7.3 | odd | 6 | 686.2.g.j.373.1 | 36 | |||
7.4 | even | 3 | 686.2.g.i.373.3 | 36 | |||
7.5 | odd | 6 | 686.2.g.j.459.3 | 36 | |||
7.6 | odd | 2 | 686.2.e.a.197.1 | 18 | |||
49.4 | even | 21 | 686.2.g.i.275.1 | 36 | |||
49.13 | odd | 14 | 4802.2.a.e.1.7 | 9 | |||
49.22 | even | 7 | inner | 98.2.e.a.71.3 | yes | 18 | |
49.23 | even | 21 | 686.2.g.i.263.3 | 36 | |||
49.26 | odd | 42 | 686.2.g.j.263.1 | 36 | |||
49.27 | odd | 14 | 686.2.e.a.491.1 | 18 | |||
49.36 | even | 7 | 4802.2.a.h.1.3 | 9 | |||
49.45 | odd | 42 | 686.2.g.j.275.3 | 36 | |||
147.71 | odd | 14 | 882.2.u.j.757.1 | 18 | |||
196.71 | odd | 14 | 784.2.u.c.561.1 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
98.2.e.a.29.3 | ✓ | 18 | 1.1 | even | 1 | trivial | |
98.2.e.a.71.3 | yes | 18 | 49.22 | even | 7 | inner | |
686.2.e.a.197.1 | 18 | 7.6 | odd | 2 | |||
686.2.e.a.491.1 | 18 | 49.27 | odd | 14 | |||
686.2.g.i.263.3 | 36 | 49.23 | even | 21 | |||
686.2.g.i.275.1 | 36 | 49.4 | even | 21 | |||
686.2.g.i.373.3 | 36 | 7.4 | even | 3 | |||
686.2.g.i.459.1 | 36 | 7.2 | even | 3 | |||
686.2.g.j.263.1 | 36 | 49.26 | odd | 42 | |||
686.2.g.j.275.3 | 36 | 49.45 | odd | 42 | |||
686.2.g.j.373.1 | 36 | 7.3 | odd | 6 | |||
686.2.g.j.459.3 | 36 | 7.5 | odd | 6 | |||
784.2.u.c.225.1 | 18 | 4.3 | odd | 2 | |||
784.2.u.c.561.1 | 18 | 196.71 | odd | 14 | |||
882.2.u.j.127.1 | 18 | 3.2 | odd | 2 | |||
882.2.u.j.757.1 | 18 | 147.71 | odd | 14 | |||
4802.2.a.e.1.7 | 9 | 49.13 | odd | 14 | |||
4802.2.a.h.1.3 | 9 | 49.36 | even | 7 |