Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(11,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.3518667.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 7x^{4} - 8x^{3} + 43x^{2} - 42x + 49 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Root | \(0.610938 - 1.05818i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 95.11 |
Dual form | 95.2.e.b.26.2 |
$q$-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 \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.610938 | + | 1.05818i | −0.431998 | + | 0.748243i | −0.997045 | − | 0.0768155i | \(-0.975525\pi\) |
0.565047 | + | 0.825059i | \(0.308858\pi\) | |||||||
\(3\) | −1.14257 | + | 1.97899i | −0.659664 | + | 1.14257i | 0.321039 | + | 0.947066i | \(0.395968\pi\) |
−0.980703 | + | 0.195505i | \(0.937365\pi\) | |||||||
\(4\) | 0.253509 | + | 0.439091i | 0.126755 | + | 0.219546i | ||||
\(5\) | 0.500000 | − | 0.866025i | 0.223607 | − | 0.387298i | ||||
\(6\) | −1.39608 | − | 2.41808i | −0.569948 | − | 0.987178i | ||||
\(7\) | −1.28514 | −0.485738 | −0.242869 | − | 0.970059i | \(-0.578089\pi\) | ||||
−0.242869 | + | 0.970059i | \(0.578089\pi\) | |||||||
\(8\) | −3.06327 | −1.08303 | ||||||||
\(9\) | −1.11094 | − | 1.92420i | −0.370313 | − | 0.641400i | ||||
\(10\) | 0.610938 | + | 1.05818i | 0.193196 | + | 0.334625i | ||||
\(11\) | 0.285142 | 0.0859737 | 0.0429868 | − | 0.999076i | \(-0.486313\pi\) | ||||
0.0429868 | + | 0.999076i | \(0.486313\pi\) | |||||||
\(12\) | −1.15861 | −0.334462 | ||||||||
\(13\) | 2.50000 | + | 4.33013i | 0.693375 | + | 1.20096i | 0.970725 | + | 0.240192i | \(0.0772105\pi\) |
−0.277350 | + | 0.960769i | \(0.589456\pi\) | |||||||
\(14\) | 0.785142 | − | 1.35991i | 0.209838 | − | 0.363450i | ||||
\(15\) | 1.14257 | + | 1.97899i | 0.295011 | + | 0.510973i | ||||
\(16\) | 1.36445 | − | 2.36329i | 0.341112 | − | 0.590823i | ||||
\(17\) | 3.11796 | − | 5.40046i | 0.756216 | − | 1.30980i | −0.188552 | − | 0.982063i | \(-0.560379\pi\) |
0.944768 | − | 0.327741i | \(-0.106287\pi\) | |||||||
\(18\) | 2.71486 | 0.639898 | ||||||||
\(19\) | 2.92771 | + | 3.22932i | 0.671664 | + | 0.740856i | ||||
\(20\) | 0.507019 | 0.113373 | ||||||||
\(21\) | 1.46837 | − | 2.54329i | 0.320424 | − | 0.554990i | ||||
\(22\) | −0.174204 | + | 0.301731i | −0.0371405 | + | 0.0643292i | ||||
\(23\) | 2.61796 | + | 4.53443i | 0.545882 | + | 0.945495i | 0.998551 | + | 0.0538163i | \(0.0171385\pi\) |
−0.452669 | + | 0.891679i | \(0.649528\pi\) | |||||||
\(24\) | 3.50000 | − | 6.06218i | 0.714435 | − | 1.23744i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | −6.10938 | −1.19815 | ||||||||
\(27\) | −1.77812 | −0.342200 | ||||||||
\(28\) | −0.325796 | − | 0.564295i | −0.0615696 | − | 0.106642i | ||||
\(29\) | −0.642571 | − | 1.11297i | −0.119322 | − | 0.206673i | 0.800177 | − | 0.599764i | \(-0.204739\pi\) |
−0.919499 | + | 0.393091i | \(0.871406\pi\) | |||||||
\(30\) | −2.79216 | −0.509777 | ||||||||
\(31\) | −1.22188 | −0.219455 | −0.109728 | − | 0.993962i | \(-0.534998\pi\) | ||||
−0.109728 | + | 0.993962i | \(0.534998\pi\) | |||||||
\(32\) | −1.39608 | − | 2.41808i | −0.246795 | − | 0.427461i | ||||
\(33\) | −0.325796 | + | 0.564295i | −0.0567137 | + | 0.0982311i | ||||
\(34\) | 3.80976 | + | 6.59869i | 0.653368 | + | 1.13167i | ||||
\(35\) | −0.642571 | + | 1.11297i | −0.108614 | + | 0.188126i | ||||
\(36\) | 0.563266 | − | 0.975606i | 0.0938777 | − | 0.162601i | ||||
\(37\) | 10.8695 | 1.78693 | 0.893464 | − | 0.449134i | \(-0.148267\pi\) | ||||
0.893464 | + | 0.449134i | \(0.148267\pi\) | |||||||
\(38\) | −5.20584 | + | 1.12512i | −0.844498 | + | 0.182519i | ||||
\(39\) | −11.4257 | −1.82958 | ||||||||
\(40\) | −1.53163 | + | 2.65287i | −0.242172 | + | 0.419455i | ||||
\(41\) | 0.420695 | − | 0.728665i | 0.0657015 | − | 0.113798i | −0.831303 | − | 0.555819i | \(-0.812405\pi\) |
0.897005 | + | 0.442020i | \(0.145738\pi\) | |||||||
\(42\) | 1.79416 | + | 3.10758i | 0.276845 | + | 0.479510i | ||||
\(43\) | 2.47539 | − | 4.28749i | 0.377493 | − | 0.653837i | −0.613204 | − | 0.789925i | \(-0.710120\pi\) |
0.990697 | + | 0.136088i | \(0.0434530\pi\) | |||||||
\(44\) | 0.0722863 | + | 0.125204i | 0.0108976 | + | 0.0188751i | ||||
\(45\) | −2.22188 | −0.331218 | ||||||||
\(46\) | −6.39764 | −0.943280 | ||||||||
\(47\) | −2.86445 | − | 4.96137i | −0.417823 | − | 0.723690i | 0.577898 | − | 0.816109i | \(-0.303873\pi\) |
−0.995720 | + | 0.0924193i | \(0.970540\pi\) | |||||||
\(48\) | 3.11796 | + | 5.40046i | 0.450038 | + | 0.779489i | ||||
\(49\) | −5.34841 | −0.764058 | ||||||||
\(50\) | 1.22188 | 0.172799 | ||||||||
\(51\) | 7.12498 | + | 12.3408i | 0.997696 | + | 1.72806i | ||||
\(52\) | −1.26755 | + | 2.19546i | −0.175777 | + | 0.304455i | ||||
\(53\) | −6.18122 | − | 10.7062i | −0.849056 | − | 1.47061i | −0.882051 | − | 0.471153i | \(-0.843838\pi\) |
0.0329952 | − | 0.999456i | \(-0.489495\pi\) | |||||||
\(54\) | 1.08632 | − | 1.88157i | 0.147830 | − | 0.256049i | ||||
\(55\) | 0.142571 | − | 0.246941i | 0.0192243 | − | 0.0332975i | ||||
\(56\) | 3.93673 | 0.526068 | ||||||||
\(57\) | −9.73591 | + | 2.10419i | −1.28955 | + | 0.278707i | ||||
\(58\) | 1.57028 | 0.206189 | ||||||||
\(59\) | −2.86445 | + | 4.96137i | −0.372919 | + | 0.645915i | −0.990013 | − | 0.140974i | \(-0.954977\pi\) |
0.617094 | + | 0.786889i | \(0.288310\pi\) | |||||||
\(60\) | −0.579305 | + | 1.00339i | −0.0747879 | + | 0.129537i | ||||
\(61\) | −2.22889 | − | 3.86056i | −0.285381 | − | 0.494294i | 0.687321 | − | 0.726354i | \(-0.258787\pi\) |
−0.972701 | + | 0.232060i | \(0.925453\pi\) | |||||||
\(62\) | 0.746491 | − | 1.29296i | 0.0948044 | − | 0.164206i | ||||
\(63\) | 1.42771 | + | 2.47287i | 0.179875 | + | 0.311553i | ||||
\(64\) | 8.86946 | 1.10868 | ||||||||
\(65\) | 5.00000 | 0.620174 | ||||||||
\(66\) | −0.398082 | − | 0.689498i | −0.0490005 | − | 0.0848713i | ||||
\(67\) | 0.492981 | + | 0.853869i | 0.0602273 | + | 0.104317i | 0.894567 | − | 0.446934i | \(-0.147484\pi\) |
−0.834340 | + | 0.551251i | \(0.814151\pi\) | |||||||
\(68\) | 3.16172 | 0.383415 | ||||||||
\(69\) | −11.9648 | −1.44039 | ||||||||
\(70\) | −0.785142 | − | 1.35991i | −0.0938425 | − | 0.162540i | ||||
\(71\) | 1.46135 | − | 2.53113i | 0.173430 | − | 0.300390i | −0.766187 | − | 0.642618i | \(-0.777848\pi\) |
0.939617 | + | 0.342228i | \(0.111182\pi\) | |||||||
\(72\) | 3.40310 | + | 5.89434i | 0.401059 | + | 0.694655i | ||||
\(73\) | 0.382043 | − | 0.661718i | 0.0447148 | − | 0.0774483i | −0.842802 | − | 0.538224i | \(-0.819095\pi\) |
0.887517 | + | 0.460776i | \(0.152429\pi\) | |||||||
\(74\) | −6.64057 | + | 11.5018i | −0.771951 | + | 1.33706i | ||||
\(75\) | 2.28514 | 0.263866 | ||||||||
\(76\) | −0.675762 | + | 2.10419i | −0.0775152 | + | 0.241368i | ||||
\(77\) | −0.366449 | −0.0417607 | ||||||||
\(78\) | 6.98040 | − | 12.0904i | 0.790375 | − | 1.36897i | ||||
\(79\) | 7.72889 | − | 13.3868i | 0.869569 | − | 1.50614i | 0.00713043 | − | 0.999975i | \(-0.497730\pi\) |
0.862438 | − | 0.506162i | \(-0.168936\pi\) | |||||||
\(80\) | −1.36445 | − | 2.36329i | −0.152550 | − | 0.264224i | ||||
\(81\) | 5.36445 | − | 9.29150i | 0.596050 | − | 1.03239i | ||||
\(82\) | 0.514037 | + | 0.890339i | 0.0567659 | + | 0.0983215i | ||||
\(83\) | 1.66563 | 0.182826 | 0.0914132 | − | 0.995813i | \(-0.470862\pi\) | ||||
0.0914132 | + | 0.995813i | \(0.470862\pi\) | |||||||
\(84\) | 1.48898 | 0.162461 | ||||||||
\(85\) | −3.11796 | − | 5.40046i | −0.338190 | − | 0.585762i | ||||
\(86\) | 3.02461 | + | 5.23879i | 0.326153 | + | 0.564913i | ||||
\(87\) | 2.93673 | 0.314851 | ||||||||
\(88\) | −0.873467 | −0.0931119 | ||||||||
\(89\) | 8.01404 | + | 13.8807i | 0.849486 | + | 1.47135i | 0.881667 | + | 0.471871i | \(0.156421\pi\) |
−0.0321812 | + | 0.999482i | \(0.510245\pi\) | |||||||
\(90\) | 1.35743 | − | 2.35114i | 0.143086 | − | 0.247831i | ||||
\(91\) | −3.21286 | − | 5.56483i | −0.336799 | − | 0.583353i | ||||
\(92\) | −1.32735 | + | 2.29904i | −0.138386 | + | 0.239692i | ||||
\(93\) | 1.39608 | − | 2.41808i | 0.144767 | − | 0.250743i | ||||
\(94\) | 7.00000 | 0.721995 | ||||||||
\(95\) | 4.26053 | − | 0.920816i | 0.437121 | − | 0.0944737i | ||||
\(96\) | 6.38049 | 0.651206 | ||||||||
\(97\) | −5.87147 | + | 10.1697i | −0.596157 | + | 1.03257i | 0.397225 | + | 0.917721i | \(0.369973\pi\) |
−0.993382 | + | 0.114853i | \(0.963360\pi\) | |||||||
\(98\) | 3.26755 | − | 5.65956i | 0.330072 | − | 0.571702i | ||||
\(99\) | −0.316776 | − | 0.548672i | −0.0318371 | − | 0.0551436i | ||||
\(100\) | 0.253509 | − | 0.439091i | 0.0253509 | − | 0.0439091i | ||||
\(101\) | 3.95935 | + | 6.85779i | 0.393970 | + | 0.682376i | 0.992969 | − | 0.118374i | \(-0.0377681\pi\) |
−0.598999 | + | 0.800750i | \(0.704435\pi\) | |||||||
\(102\) | −17.4117 | −1.72401 | ||||||||
\(103\) | −12.8202 | −1.26322 | −0.631608 | − | 0.775288i | \(-0.717605\pi\) | ||||
−0.631608 | + | 0.775288i | \(0.717605\pi\) | |||||||
\(104\) | −7.65817 | − | 13.2643i | −0.750945 | − | 1.30067i | ||||
\(105\) | −1.46837 | − | 2.54329i | −0.143298 | − | 0.248199i | ||||
\(106\) | 15.1054 | 1.46716 | ||||||||
\(107\) | 13.8062 | 1.33470 | 0.667348 | − | 0.744746i | \(-0.267429\pi\) | ||||
0.667348 | + | 0.744746i | \(0.267429\pi\) | |||||||
\(108\) | −0.450771 | − | 0.780758i | −0.0433755 | − | 0.0751285i | ||||
\(109\) | 4.60192 | − | 7.97076i | 0.440784 | − | 0.763460i | −0.556964 | − | 0.830537i | \(-0.688034\pi\) |
0.997748 | + | 0.0670767i | \(0.0213672\pi\) | |||||||
\(110\) | 0.174204 | + | 0.301731i | 0.0166097 | + | 0.0287689i | ||||
\(111\) | −12.4191 | + | 21.5106i | −1.17877 | + | 2.04169i | ||||
\(112\) | −1.75351 | + | 3.03717i | −0.165691 | + | 0.286985i | ||||
\(113\) | −17.3273 | −1.63001 | −0.815005 | − | 0.579453i | \(-0.803266\pi\) | ||||
−0.815005 | + | 0.579453i | \(0.803266\pi\) | |||||||
\(114\) | 3.72143 | − | 11.5878i | 0.348544 | − | 1.08530i | ||||
\(115\) | 5.23591 | 0.488251 | ||||||||
\(116\) | 0.325796 | − | 0.564295i | 0.0302494 | − | 0.0523934i | ||||
\(117\) | 5.55469 | − | 9.62101i | 0.513531 | − | 0.889462i | ||||
\(118\) | −3.50000 | − | 6.06218i | −0.322201 | − | 0.558069i | ||||
\(119\) | −4.00702 | + | 6.94036i | −0.367323 | + | 0.636222i | ||||
\(120\) | −3.50000 | − | 6.06218i | −0.319505 | − | 0.553399i | ||||
\(121\) | −10.9187 | −0.992609 | ||||||||
\(122\) | 5.44687 | 0.493136 | ||||||||
\(123\) | 0.961348 | + | 1.66510i | 0.0866818 | + | 0.150137i | ||||
\(124\) | −0.309757 | − | 0.536515i | −0.0278170 | − | 0.0481805i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −3.48898 | −0.310823 | ||||||||
\(127\) | −4.66563 | − | 8.08111i | −0.414008 | − | 0.717082i | 0.581316 | − | 0.813678i | \(-0.302538\pi\) |
−0.995324 | + | 0.0965956i | \(0.969205\pi\) | |||||||
\(128\) | −2.62653 | + | 4.54929i | −0.232155 | + | 0.402104i | ||||
\(129\) | 5.65661 | + | 9.79753i | 0.498037 | + | 0.862625i | ||||
\(130\) | −3.05469 | + | 5.29088i | −0.267914 | + | 0.464041i | ||||
\(131\) | −6.21286 | + | 10.7610i | −0.542820 | + | 0.940191i | 0.455921 | + | 0.890020i | \(0.349310\pi\) |
−0.998741 | + | 0.0501711i | \(0.984023\pi\) | |||||||
\(132\) | −0.330369 | −0.0287549 | ||||||||
\(133\) | −3.76253 | − | 4.15013i | −0.326253 | − | 0.359862i | ||||
\(134\) | −1.20472 | −0.104072 | ||||||||
\(135\) | −0.889062 | + | 1.53990i | −0.0765183 | + | 0.132534i | ||||
\(136\) | −9.55113 | + | 16.5430i | −0.819003 | + | 1.41855i | ||||
\(137\) | 9.26755 | + | 16.0519i | 0.791780 | + | 1.37140i | 0.924864 | + | 0.380298i | \(0.124179\pi\) |
−0.133084 | + | 0.991105i | \(0.542488\pi\) | |||||||
\(138\) | 7.30976 | − | 12.6609i | 0.622248 | − | 1.07776i | ||||
\(139\) | 3.00702 | + | 5.20831i | 0.255052 | + | 0.441763i | 0.964910 | − | 0.262582i | \(-0.0845741\pi\) |
−0.709858 | + | 0.704345i | \(0.751241\pi\) | |||||||
\(140\) | −0.651591 | −0.0550695 | ||||||||
\(141\) | 13.0913 | 1.10249 | ||||||||
\(142\) | 1.78559 | + | 3.09273i | 0.149843 | + | 0.259536i | ||||
\(143\) | 0.712856 | + | 1.23470i | 0.0596120 | + | 0.103251i | ||||
\(144\) | −6.06327 | −0.505272 | ||||||||
\(145\) | −1.28514 | −0.106725 | ||||||||
\(146\) | 0.466810 | + | 0.808538i | 0.0386334 | + | 0.0669151i | ||||
\(147\) | 6.11094 | − | 10.5845i | 0.504022 | − | 0.872991i | ||||
\(148\) | 2.75551 | + | 4.77268i | 0.226502 | + | 0.392312i | ||||
\(149\) | 3.39608 | − | 5.88218i | 0.278218 | − | 0.481887i | −0.692724 | − | 0.721203i | \(-0.743590\pi\) |
0.970942 | + | 0.239315i | \(0.0769230\pi\) | |||||||
\(150\) | −1.39608 | + | 2.41808i | −0.113990 | + | 0.197436i | ||||
\(151\) | −15.8875 | −1.29291 | −0.646453 | − | 0.762953i | \(-0.723749\pi\) | ||||
−0.646453 | + | 0.762953i | \(0.723749\pi\) | |||||||
\(152\) | −8.96837 | − | 9.89226i | −0.727431 | − | 0.802368i | ||||
\(153\) | −13.8554 | −1.12014 | ||||||||
\(154\) | 0.223877 | − | 0.387767i | 0.0180406 | − | 0.0312472i | ||||
\(155\) | −0.610938 | + | 1.05818i | −0.0490717 | + | 0.0849947i | ||||
\(156\) | −2.89652 | − | 5.01693i | −0.231908 | − | 0.401676i | ||||
\(157\) | −3.75351 | + | 6.50127i | −0.299563 | + | 0.518858i | −0.976036 | − | 0.217609i | \(-0.930174\pi\) |
0.676473 | + | 0.736467i | \(0.263507\pi\) | |||||||
\(158\) | 9.44375 | + | 16.3571i | 0.751305 | + | 1.30130i | ||||
\(159\) | 28.2500 | 2.24037 | ||||||||
\(160\) | −2.79216 | −0.220740 | ||||||||
\(161\) | −3.36445 | − | 5.82739i | −0.265156 | − | 0.459263i | ||||
\(162\) | 6.55469 | + | 11.3531i | 0.514985 | + | 0.891980i | ||||
\(163\) | 21.8202 | 1.70909 | 0.854546 | − | 0.519375i | \(-0.173835\pi\) | ||||
0.854546 | + | 0.519375i | \(0.173835\pi\) | |||||||
\(164\) | 0.426600 | 0.0333119 | ||||||||
\(165\) | 0.325796 | + | 0.564295i | 0.0253632 | + | 0.0439303i | ||||
\(166\) | −1.01760 | + | 1.76253i | −0.0789808 | + | 0.136799i | ||||
\(167\) | −5.64257 | − | 9.77322i | −0.436635 | − | 0.756274i | 0.560792 | − | 0.827957i | \(-0.310497\pi\) |
−0.997428 | + | 0.0716821i | \(0.977163\pi\) | |||||||
\(168\) | −4.49800 | + | 7.79076i | −0.347028 | + | 0.601070i | ||||
\(169\) | −6.00000 | + | 10.3923i | −0.461538 | + | 0.799408i | ||||
\(170\) | 7.61951 | 0.584390 | ||||||||
\(171\) | 2.96135 | − | 9.22108i | 0.226460 | − | 0.705154i | ||||
\(172\) | 2.51013 | 0.191396 | ||||||||
\(173\) | 2.92771 | − | 5.07095i | 0.222590 | − | 0.385537i | −0.733004 | − | 0.680225i | \(-0.761882\pi\) |
0.955594 | + | 0.294688i | \(0.0952156\pi\) | |||||||
\(174\) | −1.79416 | + | 3.10758i | −0.136015 | + | 0.235585i | ||||
\(175\) | 0.642571 | + | 1.11297i | 0.0485738 | + | 0.0841323i | ||||
\(176\) | 0.389062 | − | 0.673875i | 0.0293266 | − | 0.0507952i | ||||
\(177\) | −6.54567 | − | 11.3374i | −0.492003 | − | 0.852174i | ||||
\(178\) | −19.5843 | −1.46791 | ||||||||
\(179\) | −18.7922 | −1.40459 | −0.702296 | − | 0.711885i | \(-0.747842\pi\) | ||||
−0.702296 | + | 0.711885i | \(0.747842\pi\) | |||||||
\(180\) | −0.563266 | − | 0.975606i | −0.0419834 | − | 0.0727174i | ||||
\(181\) | −6.67265 | − | 11.5574i | −0.495974 | − | 0.859052i | 0.504015 | − | 0.863695i | \(-0.331856\pi\) |
−0.999989 | + | 0.00464265i | \(0.998522\pi\) | |||||||
\(182\) | 7.85142 | 0.581986 | ||||||||
\(183\) | 10.1867 | 0.753021 | ||||||||
\(184\) | −8.01950 | − | 13.8902i | −0.591205 | − | 1.02400i | ||||
\(185\) | 5.43473 | − | 9.41323i | 0.399569 | − | 0.692075i | ||||
\(186\) | 1.70584 | + | 2.95460i | 0.125078 | + | 0.216642i | ||||
\(187\) | 0.889062 | − | 1.53990i | 0.0650146 | − | 0.112609i | ||||
\(188\) | 1.45233 | − | 2.51551i | 0.105922 | − | 0.183462i | ||||
\(189\) | 2.28514 | 0.166220 | ||||||||
\(190\) | −1.62853 | + | 5.07095i | −0.118146 | + | 0.367885i | ||||
\(191\) | −0.668743 | −0.0483885 | −0.0241943 | − | 0.999707i | \(-0.507702\pi\) | ||||
−0.0241943 | + | 0.999707i | \(0.507702\pi\) | |||||||
\(192\) | −10.1340 | + | 17.5526i | −0.731358 | + | 1.26675i | ||||
\(193\) | 1.88204 | − | 3.25979i | 0.135472 | − | 0.234645i | −0.790305 | − | 0.612713i | \(-0.790078\pi\) |
0.925778 | + | 0.378068i | \(0.123411\pi\) | |||||||
\(194\) | −7.17420 | − | 12.4261i | −0.515078 | − | 0.892141i | ||||
\(195\) | −5.71286 | + | 9.89496i | −0.409106 | + | 0.708593i | ||||
\(196\) | −1.35587 | − | 2.34844i | −0.0968480 | − | 0.167746i | ||||
\(197\) | 14.6164 | 1.04138 | 0.520688 | − | 0.853747i | \(-0.325676\pi\) | ||||
0.520688 | + | 0.853747i | \(0.325676\pi\) | |||||||
\(198\) | 0.774121 | 0.0550144 | ||||||||
\(199\) | −5.76053 | − | 9.97753i | −0.408353 | − | 0.707288i | 0.586352 | − | 0.810056i | \(-0.300563\pi\) |
−0.994705 | + | 0.102768i | \(0.967230\pi\) | |||||||
\(200\) | 1.53163 | + | 2.65287i | 0.108303 | + | 0.187586i | ||||
\(201\) | −2.25307 | −0.158919 | ||||||||
\(202\) | −9.67566 | −0.680777 | ||||||||
\(203\) | 0.825796 | + | 1.43032i | 0.0579595 | + | 0.100389i | ||||
\(204\) | −3.61250 | + | 6.25703i | −0.252925 | + | 0.438079i | ||||
\(205\) | −0.420695 | − | 0.728665i | −0.0293826 | − | 0.0508922i | ||||
\(206\) | 7.83237 | − | 13.5661i | 0.545707 | − | 0.945192i | ||||
\(207\) | 5.81678 | − | 10.0750i | 0.404294 | − | 0.700257i | ||||
\(208\) | 13.6445 | 0.946074 | ||||||||
\(209\) | 0.834816 | + | 0.920816i | 0.0577454 | + | 0.0636941i | ||||
\(210\) | 3.58832 | 0.247618 | ||||||||
\(211\) | 8.57028 | − | 14.8442i | 0.590003 | − | 1.02191i | −0.404229 | − | 0.914658i | \(-0.632460\pi\) |
0.994231 | − | 0.107257i | \(-0.0342067\pi\) | |||||||
\(212\) | 3.13400 | − | 5.42824i | 0.215244 | − | 0.372813i | ||||
\(213\) | 3.33939 | + | 5.78399i | 0.228811 | + | 0.396313i | ||||
\(214\) | −8.43473 | + | 14.6094i | −0.576586 | + | 0.998677i | ||||
\(215\) | −2.47539 | − | 4.28749i | −0.168820 | − | 0.292405i | ||||
\(216\) | 5.44687 | 0.370612 | ||||||||
\(217\) | 1.57028 | 0.106598 | ||||||||
\(218\) | 5.62297 | + | 9.73928i | 0.380836 | + | 0.659627i | ||||
\(219\) | 0.873023 | + | 1.51212i | 0.0589934 | + | 0.102180i | ||||
\(220\) | 0.144573 | 0.00974708 | ||||||||
\(221\) | 31.1796 | 2.09736 | ||||||||
\(222\) | −15.1746 | − | 26.2833i | −1.01846 | − | 1.76402i | ||||
\(223\) | −0.762085 | + | 1.31997i | −0.0510330 | + | 0.0883918i | −0.890413 | − | 0.455153i | \(-0.849585\pi\) |
0.839380 | + | 0.543544i | \(0.182918\pi\) | |||||||
\(224\) | 1.79416 | + | 3.10758i | 0.119878 | + | 0.207634i | ||||
\(225\) | −1.11094 | + | 1.92420i | −0.0740625 | + | 0.128280i | ||||
\(226\) | 10.5859 | − | 18.3353i | 0.704162 | − | 1.21964i | ||||
\(227\) | 4.00000 | 0.265489 | 0.132745 | − | 0.991150i | \(-0.457621\pi\) | ||||
0.132745 | + | 0.991150i | \(0.457621\pi\) | |||||||
\(228\) | −3.39208 | − | 3.74152i | −0.224646 | − | 0.247788i | ||||
\(229\) | 18.4397 | 1.21853 | 0.609266 | − | 0.792966i | \(-0.291464\pi\) | ||||
0.609266 | + | 0.792966i | \(0.291464\pi\) | |||||||
\(230\) | −3.19882 | + | 5.54052i | −0.210924 | + | 0.365331i | ||||
\(231\) | 0.418694 | − | 0.725199i | 0.0275480 | − | 0.0477146i | ||||
\(232\) | 1.96837 | + | 3.40931i | 0.129230 | + | 0.223832i | ||||
\(233\) | −6.35587 | + | 11.0087i | −0.416387 | + | 0.721203i | −0.995573 | − | 0.0939920i | \(-0.970037\pi\) |
0.579186 | + | 0.815195i | \(0.303371\pi\) | |||||||
\(234\) | 6.78714 | + | 11.7557i | 0.443689 | + | 0.768493i | ||||
\(235\) | −5.72889 | −0.373712 | ||||||||
\(236\) | −2.90466 | −0.189077 | ||||||||
\(237\) | 17.6616 | + | 30.5908i | 1.14725 | + | 1.98709i | ||||
\(238\) | −4.89608 | − | 8.48026i | −0.317366 | − | 0.549694i | ||||
\(239\) | −10.8343 | −0.700811 | −0.350405 | − | 0.936598i | \(-0.613956\pi\) | ||||
−0.350405 | + | 0.936598i | \(0.613956\pi\) | |||||||
\(240\) | 6.23591 | 0.402526 | ||||||||
\(241\) | 4.93673 | + | 8.55067i | 0.318003 | + | 0.550797i | 0.980071 | − | 0.198646i | \(-0.0636545\pi\) |
−0.662068 | + | 0.749444i | \(0.730321\pi\) | |||||||
\(242\) | 6.67065 | − | 11.5539i | 0.428805 | − | 0.742713i | ||||
\(243\) | 9.59134 | + | 16.6127i | 0.615285 | + | 1.06570i | ||||
\(244\) | 1.13009 | − | 1.95738i | 0.0723467 | − | 0.125308i | ||||
\(245\) | −2.67420 | + | 4.63186i | −0.170849 | + | 0.295919i | ||||
\(246\) | −2.34930 | −0.149786 | ||||||||
\(247\) | −6.66407 | + | 20.7507i | −0.424025 | + | 1.32033i | ||||
\(248\) | 3.74293 | 0.237676 | ||||||||
\(249\) | −1.90310 | + | 3.29626i | −0.120604 | + | 0.208892i | ||||
\(250\) | 0.610938 | − | 1.05818i | 0.0386391 | − | 0.0669249i | ||||
\(251\) | −8.88550 | − | 15.3901i | −0.560848 | − | 0.971417i | −0.997423 | − | 0.0717492i | \(-0.977142\pi\) |
0.436575 | − | 0.899668i | \(-0.356191\pi\) | |||||||
\(252\) | −0.723877 | + | 1.25379i | −0.0456000 | + | 0.0789815i | ||||
\(253\) | 0.746491 | + | 1.29296i | 0.0469315 | + | 0.0812877i | ||||
\(254\) | 11.4016 | 0.715403 | ||||||||
\(255\) | 14.2500 | 0.892367 | ||||||||
\(256\) | 5.66017 | + | 9.80370i | 0.353760 | + | 0.612731i | ||||
\(257\) | −4.07930 | − | 7.06556i | −0.254460 | − | 0.440738i | 0.710289 | − | 0.703911i | \(-0.248564\pi\) |
−0.964749 | + | 0.263173i | \(0.915231\pi\) | |||||||
\(258\) | −13.8234 | −0.860604 | ||||||||
\(259\) | −13.9688 | −0.867980 | ||||||||
\(260\) | 1.26755 | + | 2.19546i | 0.0786099 | + | 0.136156i | ||||
\(261\) | −1.42771 | + | 2.47287i | −0.0883733 | + | 0.153067i | ||||
\(262\) | −7.59134 | − | 13.1486i | −0.468995 | − | 0.812322i | ||||
\(263\) | −3.15861 | + | 5.47087i | −0.194768 | + | 0.337348i | −0.946825 | − | 0.321750i | \(-0.895729\pi\) |
0.752056 | + | 0.659099i | \(0.229062\pi\) | |||||||
\(264\) | 0.997999 | − | 1.72858i | 0.0614226 | − | 0.106387i | ||||
\(265\) | −12.3624 | −0.759419 | ||||||||
\(266\) | 6.69024 | − | 1.44594i | 0.410205 | − | 0.0886565i | ||||
\(267\) | −36.6264 | −2.24150 | ||||||||
\(268\) | −0.249951 | + | 0.432927i | −0.0152682 | + | 0.0264452i | ||||
\(269\) | −4.11951 | + | 7.13521i | −0.251171 | + | 0.435041i | −0.963849 | − | 0.266451i | \(-0.914149\pi\) |
0.712677 | + | 0.701492i | \(0.247482\pi\) | |||||||
\(270\) | −1.08632 | − | 1.88157i | −0.0661115 | − | 0.114509i | ||||
\(271\) | 2.11094 | − | 3.65625i | 0.128230 | − | 0.222101i | −0.794761 | − | 0.606923i | \(-0.792404\pi\) |
0.922991 | + | 0.384821i | \(0.125737\pi\) | |||||||
\(272\) | −8.50858 | − | 14.7373i | −0.515908 | − | 0.893579i | ||||
\(273\) | 14.6837 | 0.888696 | ||||||||
\(274\) | −22.6476 | −1.36819 | ||||||||
\(275\) | −0.142571 | − | 0.246941i | −0.00859737 | − | 0.0148911i | ||||
\(276\) | −3.03319 | − | 5.25364i | −0.182577 | − | 0.316232i | ||||
\(277\) | −9.83739 | −0.591071 | −0.295536 | − | 0.955332i | \(-0.595498\pi\) | ||||
−0.295536 | + | 0.955332i | \(0.595498\pi\) | |||||||
\(278\) | −7.34841 | −0.440728 | ||||||||
\(279\) | 1.35743 | + | 2.35114i | 0.0812671 | + | 0.140759i | ||||
\(280\) | 1.96837 | − | 3.40931i | 0.117632 | − | 0.203745i | ||||
\(281\) | −2.69024 | − | 4.65964i | −0.160486 | − | 0.277971i | 0.774557 | − | 0.632504i | \(-0.217973\pi\) |
−0.935043 | + | 0.354534i | \(0.884640\pi\) | |||||||
\(282\) | −7.99800 | + | 13.8529i | −0.476274 | + | 0.824931i | ||||
\(283\) | 2.48240 | − | 4.29965i | 0.147564 | − | 0.255588i | −0.782763 | − | 0.622320i | \(-0.786190\pi\) |
0.930326 | + | 0.366732i | \(0.119524\pi\) | |||||||
\(284\) | 1.48186 | 0.0879323 | ||||||||
\(285\) | −3.04567 | + | 9.48365i | −0.180410 | + | 0.561763i | ||||
\(286\) | −1.74204 | −0.103009 | ||||||||
\(287\) | −0.540653 | + | 0.936439i | −0.0319137 | + | 0.0552762i | ||||
\(288\) | −3.10192 | + | 5.37268i | −0.182782 | + | 0.316588i | ||||
\(289\) | −10.9433 | − | 18.9544i | −0.643724 | − | 1.11496i | ||||
\(290\) | 0.785142 | − | 1.35991i | 0.0461052 | − | 0.0798565i | ||||
\(291\) | −13.4171 | − | 23.2392i | −0.786526 | − | 1.36230i | ||||
\(292\) | 0.387406 | 0.0226712 | ||||||||
\(293\) | −3.80620 | −0.222360 | −0.111180 | − | 0.993800i | \(-0.535463\pi\) | ||||
−0.111180 | + | 0.993800i | \(0.535463\pi\) | |||||||
\(294\) | 7.46681 | + | 12.9329i | 0.435473 | + | 0.754262i | ||||
\(295\) | 2.86445 | + | 4.96137i | 0.166775 | + | 0.288862i | ||||
\(296\) | −33.2961 | −1.93529 | ||||||||
\(297\) | −0.507019 | −0.0294202 | ||||||||
\(298\) | 4.14959 | + | 7.18730i | 0.240379 | + | 0.416349i | ||||
\(299\) | −13.0898 | + | 22.6722i | −0.757002 | + | 1.31117i | ||||
\(300\) | 0.579305 | + | 1.00339i | 0.0334462 | + | 0.0579305i | ||||
\(301\) | −3.18122 | + | 5.51004i | −0.183363 | + | 0.317593i | ||||
\(302\) | 9.70628 | − | 16.8118i | 0.558534 | − | 0.967409i | ||||
\(303\) | −18.0953 | −1.03955 | ||||||||
\(304\) | 11.6265 | − | 2.51281i | 0.666827 | − | 0.144119i | ||||
\(305\) | −4.45779 | −0.255252 | ||||||||
\(306\) | 8.46481 | − | 14.6615i | 0.483901 | − | 0.838141i | ||||
\(307\) | −0.287144 | + | 0.497348i | −0.0163882 | + | 0.0283851i | −0.874103 | − | 0.485740i | \(-0.838550\pi\) |
0.857715 | + | 0.514125i | \(0.171883\pi\) | |||||||
\(308\) | −0.0928982 | − | 0.160904i | −0.00529336 | − | 0.00916838i | ||||
\(309\) | 14.6480 | − | 25.3711i | 0.833297 | − | 1.44331i | ||||
\(310\) | −0.746491 | − | 1.29296i | −0.0423978 | − | 0.0734352i | ||||
\(311\) | −8.61640 | −0.488591 | −0.244296 | − | 0.969701i | \(-0.578557\pi\) | ||||
−0.244296 | + | 0.969701i | \(0.578557\pi\) | |||||||
\(312\) | 35.0000 | 1.98148 | ||||||||
\(313\) | 17.0617 | + | 29.5517i | 0.964385 | + | 1.67036i | 0.711259 | + | 0.702930i | \(0.248125\pi\) |
0.253126 | + | 0.967433i | \(0.418541\pi\) | |||||||
\(314\) | −4.58632 | − | 7.94375i | −0.258821 | − | 0.448291i | ||||
\(315\) | 2.85543 | 0.160885 | ||||||||
\(316\) | 7.83739 | 0.440887 | ||||||||
\(317\) | 5.53865 | + | 9.59323i | 0.311082 | + | 0.538809i | 0.978597 | − | 0.205787i | \(-0.0659754\pi\) |
−0.667515 | + | 0.744596i | \(0.732642\pi\) | |||||||
\(318\) | −17.2590 | + | 29.8934i | −0.967835 | + | 1.67634i | ||||
\(319\) | −0.183224 | − | 0.317354i | −0.0102586 | − | 0.0177684i | ||||
\(320\) | 4.43473 | − | 7.68118i | 0.247909 | − | 0.429391i | ||||
\(321\) | −15.7746 | + | 27.3223i | −0.880450 | + | 1.52498i | ||||
\(322\) | 8.22188 | 0.458187 | ||||||||
\(323\) | 26.5683 | − | 5.74213i | 1.47830 | − | 0.319500i | ||||
\(324\) | 5.43975 | 0.302208 | ||||||||
\(325\) | 2.50000 | − | 4.33013i | 0.138675 | − | 0.240192i | ||||
\(326\) | −13.3308 | + | 23.0896i | −0.738325 | + | 1.27882i | ||||
\(327\) | 10.5160 | + | 18.2143i | 0.581538 | + | 1.00725i | ||||
\(328\) | −1.28870 | + | 2.23210i | −0.0711566 | + | 0.123247i | ||||
\(329\) | 3.68122 | + | 6.37607i | 0.202952 | + | 0.351524i | ||||
\(330\) | −0.796164 | −0.0438274 | ||||||||
\(331\) | 6.41168 | 0.352418 | 0.176209 | − | 0.984353i | \(-0.443617\pi\) | ||||
0.176209 | + | 0.984353i | \(0.443617\pi\) | |||||||
\(332\) | 0.422252 | + | 0.731363i | 0.0231741 | + | 0.0401387i | ||||
\(333\) | −12.0753 | − | 20.9150i | −0.661722 | − | 1.14614i | ||||
\(334\) | 13.7890 | 0.754503 | ||||||||
\(335\) | 0.985963 | 0.0538689 | ||||||||
\(336\) | −4.00702 | − | 6.94036i | −0.218601 | − | 0.378628i | ||||
\(337\) | 12.6336 | − | 21.8820i | 0.688193 | − | 1.19199i | −0.284228 | − | 0.958757i | \(-0.591737\pi\) |
0.972422 | − | 0.233229i | \(-0.0749293\pi\) | |||||||
\(338\) | −7.33126 | − | 12.6981i | −0.398768 | − | 0.690686i | ||||
\(339\) | 19.7976 | − | 34.2905i | 1.07526 | − | 1.86240i | ||||
\(340\) | 1.58086 | − | 2.73813i | 0.0857343 | − | 0.148496i | ||||
\(341\) | −0.348409 | −0.0188674 | ||||||||
\(342\) | 7.94833 | + | 8.76714i | 0.429796 | + | 0.474072i | ||||
\(343\) | 15.8695 | 0.856871 | ||||||||
\(344\) | −7.58276 | + | 13.1337i | −0.408835 | + | 0.708123i | ||||
\(345\) | −5.98240 | + | 10.3618i | −0.322082 | + | 0.557862i | ||||
\(346\) | 3.57730 | + | 6.19607i | 0.192317 | + | 0.333103i | ||||
\(347\) | −6.20428 | + | 10.7461i | −0.333063 | + | 0.576882i | −0.983111 | − | 0.183011i | \(-0.941416\pi\) |
0.650048 | + | 0.759893i | \(0.274749\pi\) | |||||||
\(348\) | 0.744489 | + | 1.28949i | 0.0399088 | + | 0.0691241i | ||||
\(349\) | 6.20384 | 0.332084 | 0.166042 | − | 0.986119i | \(-0.446901\pi\) | ||||
0.166042 | + | 0.986119i | \(0.446901\pi\) | |||||||
\(350\) | −1.57028 | −0.0839353 | ||||||||
\(351\) | −4.44531 | − | 7.69950i | −0.237273 | − | 0.410969i | ||||
\(352\) | −0.398082 | − | 0.689498i | −0.0212178 | − | 0.0367504i | ||||
\(353\) | −23.3484 | −1.24271 | −0.621355 | − | 0.783529i | \(-0.713418\pi\) | ||||
−0.621355 | + | 0.783529i | \(0.713418\pi\) | |||||||
\(354\) | 15.9960 | 0.850178 | ||||||||
\(355\) | −1.46135 | − | 2.53113i | −0.0775603 | − | 0.134338i | ||||
\(356\) | −4.06327 | + | 7.03778i | −0.215353 | + | 0.373002i | ||||
\(357\) | −9.15661 | − | 15.8597i | −0.484619 | − | 0.839385i | ||||
\(358\) | 11.4808 | − | 19.8854i | 0.606782 | − | 1.05098i | ||||
\(359\) | 18.8609 | − | 32.6680i | 0.995440 | − | 1.72415i | 0.415107 | − | 0.909773i | \(-0.363744\pi\) |
0.580333 | − | 0.814379i | \(-0.302922\pi\) | |||||||
\(360\) | 6.80620 | 0.358718 | ||||||||
\(361\) | −1.85698 | + | 18.9090i | −0.0977360 | + | 0.995212i | ||||
\(362\) | 16.3063 | 0.857040 | ||||||||
\(363\) | 12.4754 | − | 21.6080i | 0.654788 | − | 1.13413i | ||||
\(364\) | 1.62898 | − | 2.82147i | 0.0853816 | − | 0.147885i | ||||
\(365\) | −0.382043 | − | 0.661718i | −0.0199971 | − | 0.0346359i | ||||
\(366\) | −6.22343 | + | 10.7793i | −0.325304 | + | 0.563443i | ||||
\(367\) | −14.7038 | − | 25.4678i | −0.767534 | − | 1.32941i | −0.938896 | − | 0.344200i | \(-0.888150\pi\) |
0.171362 | − | 0.985208i | \(-0.445183\pi\) | |||||||
\(368\) | 14.2883 | 0.744827 | ||||||||
\(369\) | −1.86946 | −0.0973204 | ||||||||
\(370\) | 6.64057 | + | 11.5018i | 0.345227 | + | 0.597950i | ||||
\(371\) | 7.94375 | + | 13.7590i | 0.412419 | + | 0.714331i | ||||
\(372\) | 1.41568 | 0.0733995 | ||||||||
\(373\) | −21.5491 | −1.11577 | −0.557886 | − | 0.829918i | \(-0.688387\pi\) | ||||
−0.557886 | + | 0.829918i | \(0.688387\pi\) | |||||||
\(374\) | 1.08632 | + | 1.88157i | 0.0561725 | + | 0.0972935i | ||||
\(375\) | 1.14257 | − | 1.97899i | 0.0590021 | − | 0.102195i | ||||
\(376\) | 8.77457 | + | 15.1980i | 0.452514 | + | 0.783777i | ||||
\(377\) | 3.21286 | − | 5.56483i | 0.165471 | − | 0.286603i | ||||
\(378\) | −1.39608 | + | 2.41808i | −0.0718066 | + | 0.124373i | ||||
\(379\) | −19.3945 | −0.996230 | −0.498115 | − | 0.867111i | \(-0.665974\pi\) | ||||
−0.498115 | + | 0.867111i | \(0.665974\pi\) | |||||||
\(380\) | 1.48441 | + | 1.63732i | 0.0761484 | + | 0.0839930i | ||||
\(381\) | 21.3233 | 1.09242 | ||||||||
\(382\) | 0.408561 | − | 0.707648i | 0.0209038 | − | 0.0362064i | ||||
\(383\) | −9.44331 | + | 16.3563i | −0.482531 | + | 0.835767i | −0.999799 | − | 0.0200559i | \(-0.993616\pi\) |
0.517268 | + | 0.855823i | \(0.326949\pi\) | |||||||
\(384\) | −6.00200 | − | 10.3958i | −0.306288 | − | 0.530507i | ||||
\(385\) | −0.183224 | + | 0.317354i | −0.00933798 | + | 0.0161739i | ||||
\(386\) | 2.29962 | + | 3.98307i | 0.117048 | + | 0.202733i | ||||
\(387\) | −11.0000 | −0.559161 | ||||||||
\(388\) | −5.95389 | −0.302263 | ||||||||
\(389\) | 4.54021 | + | 7.86387i | 0.230198 | + | 0.398714i | 0.957866 | − | 0.287215i | \(-0.0927294\pi\) |
−0.727668 | + | 0.685929i | \(0.759396\pi\) | |||||||
\(390\) | −6.98040 | − | 12.0904i | −0.353466 | − | 0.612222i | ||||
\(391\) | 32.6507 | 1.65122 | ||||||||
\(392\) | 16.3836 | 0.827497 | ||||||||
\(393\) | −14.1973 | − | 24.5904i | −0.716157 | − | 1.24042i | ||||
\(394\) | −8.92972 | + | 15.4667i | −0.449873 | + | 0.779202i | ||||
\(395\) | −7.72889 | − | 13.3868i | −0.388883 | − | 0.673565i | ||||
\(396\) | 0.160611 | − | 0.278187i | 0.00807101 | − | 0.0139794i | ||||
\(397\) | −8.49800 | + | 14.7190i | −0.426502 | + | 0.738724i | −0.996559 | − | 0.0828814i | \(-0.973588\pi\) |
0.570057 | + | 0.821605i | \(0.306921\pi\) | |||||||
\(398\) | 14.0773 | 0.705631 | ||||||||
\(399\) | 12.5120 | − | 2.70419i | 0.626385 | − | 0.135379i | ||||
\(400\) | −2.72889 | −0.136445 | ||||||||
\(401\) | −0.795720 | + | 1.37823i | −0.0397363 | + | 0.0688254i | −0.885210 | − | 0.465192i | \(-0.845985\pi\) |
0.845473 | + | 0.534018i | \(0.179318\pi\) | |||||||
\(402\) | 1.37648 | − | 2.38414i | 0.0686528 | − | 0.118910i | ||||
\(403\) | −3.05469 | − | 5.29088i | −0.152165 | − | 0.263557i | ||||
\(404\) | −2.00746 | + | 3.47703i | −0.0998750 | + | 0.172989i | ||||
\(405\) | −5.36445 | − | 9.29150i | −0.266562 | − | 0.461698i | ||||
\(406\) | −2.01804 | −0.100154 | ||||||||
\(407\) | 3.09935 | 0.153629 | ||||||||
\(408\) | −21.8257 | − | 37.8032i | −1.08053 | − | 1.87154i | ||||
\(409\) | 0.998443 | + | 1.72935i | 0.0493698 | + | 0.0855110i | 0.889654 | − | 0.456635i | \(-0.150945\pi\) |
−0.840284 | + | 0.542146i | \(0.817612\pi\) | |||||||
\(410\) | 1.02807 | 0.0507730 | ||||||||
\(411\) | −42.3553 | −2.08923 | ||||||||
\(412\) | −3.25005 | − | 5.62925i | −0.160118 | − | 0.277333i | ||||
\(413\) | 3.68122 | − | 6.37607i | 0.181141 | − | 0.313746i | ||||
\(414\) | 7.10738 | + | 12.3103i | 0.349309 | + | 0.605020i | ||||
\(415\) | 0.832814 | − | 1.44248i | 0.0408812 | − | 0.0708084i | ||||
\(416\) | 6.98040 | − | 12.0904i | 0.342242 | − | 0.592781i | ||||
\(417\) | −13.7429 | −0.672994 | ||||||||
\(418\) | −1.48441 | + | 0.320820i | −0.0726046 | + | 0.0156918i | ||||
\(419\) | −22.7781 | −1.11278 | −0.556392 | − | 0.830920i | \(-0.687815\pi\) | ||||
−0.556392 | + | 0.830920i | \(0.687815\pi\) | |||||||
\(420\) | 0.744489 | − | 1.28949i | 0.0363274 | − | 0.0629208i | ||||
\(421\) | 6.92070 | − | 11.9870i | 0.337294 | − | 0.584210i | −0.646629 | − | 0.762805i | \(-0.723822\pi\) |
0.983923 | + | 0.178594i | \(0.0571550\pi\) | |||||||
\(422\) | 10.4718 | + | 18.1377i | 0.509761 | + | 0.882931i | ||||
\(423\) | −6.36445 | + | 11.0235i | −0.309450 | + | 0.535983i | ||||
\(424\) | 18.9347 | + | 32.7959i | 0.919552 | + | 1.59271i | ||||
\(425\) | −6.23591 | −0.302486 | ||||||||
\(426\) | −8.16064 | −0.395384 | ||||||||
\(427\) | 2.86445 | + | 4.96137i | 0.138620 | + | 0.240097i | ||||
\(428\) | 3.50000 | + | 6.06218i | 0.169179 | + | 0.293026i | ||||
\(429\) | −3.25796 | −0.157296 | ||||||||
\(430\) | 6.04923 | 0.291720 | ||||||||
\(431\) | −1.71987 | − | 2.97891i | −0.0828435 | − | 0.143489i | 0.821627 | − | 0.570026i | \(-0.193067\pi\) |
−0.904470 | + | 0.426537i | \(0.859733\pi\) | |||||||
\(432\) | −2.42616 | + | 4.20223i | −0.116729 | + | 0.202180i | ||||
\(433\) | 4.60036 | + | 7.96806i | 0.221079 | + | 0.382920i | 0.955136 | − | 0.296168i | \(-0.0957087\pi\) |
−0.734057 | + | 0.679088i | \(0.762375\pi\) | |||||||
\(434\) | −0.959347 | + | 1.66164i | −0.0460501 | + | 0.0797612i | ||||
\(435\) | 1.46837 | − | 2.54329i | 0.0704028 | − | 0.121941i | ||||
\(436\) | 4.66652 | 0.223486 | ||||||||
\(437\) | −6.97850 | + | 21.7297i | −0.333827 | + | 1.03947i | ||||
\(438\) | −2.13345 | −0.101940 | ||||||||
\(439\) | 18.7550 | − | 32.4846i | 0.895126 | − | 1.55040i | 0.0614769 | − | 0.998109i | \(-0.480419\pi\) |
0.833649 | − | 0.552295i | \(-0.186248\pi\) | |||||||
\(440\) | −0.436734 | + | 0.756445i | −0.0208205 | + | 0.0360621i | ||||
\(441\) | 5.94175 | + | 10.2914i | 0.282941 | + | 0.490067i | ||||
\(442\) | −19.0488 | + | 32.9935i | −0.906058 | + | 1.56934i | ||||
\(443\) | −7.33939 | − | 12.7122i | −0.348705 | − | 0.603975i | 0.637315 | − | 0.770604i | \(-0.280045\pi\) |
−0.986020 | + | 0.166629i | \(0.946712\pi\) | |||||||
\(444\) | −12.5935 | −0.597660 | ||||||||
\(445\) | 16.0281 | 0.759804 | ||||||||
\(446\) | −0.931174 | − | 1.61284i | −0.0440924 | − | 0.0763702i | ||||
\(447\) | 7.76053 | + | 13.4416i | 0.367060 | + | 0.635767i | ||||
\(448\) | −11.3985 | −0.538530 | ||||||||
\(449\) | −7.39052 | −0.348780 | −0.174390 | − | 0.984677i | \(-0.555795\pi\) | ||||
−0.174390 | + | 0.984677i | \(0.555795\pi\) | |||||||
\(450\) | −1.35743 | − | 2.35114i | −0.0639898 | − | 0.110834i | ||||
\(451\) | 0.119958 | − | 0.207773i | 0.00564860 | − | 0.00978367i | ||||
\(452\) | −4.39262 | − | 7.60824i | −0.206611 | − | 0.357862i | ||||
\(453\) | 18.1526 | − | 31.4412i | 0.852884 | − | 1.47724i | ||||
\(454\) | −2.44375 | + | 4.23270i | −0.114691 | + | 0.198651i | ||||
\(455\) | −6.42571 | −0.301242 | ||||||||
\(456\) | 29.8237 | − | 6.44571i | 1.39662 | − | 0.301848i | ||||
\(457\) | 2.30007 | 0.107593 | 0.0537963 | − | 0.998552i | \(-0.482868\pi\) | ||||
0.0537963 | + | 0.998552i | \(0.482868\pi\) | |||||||
\(458\) | −11.2655 | + | 19.5125i | −0.526404 | + | 0.911759i | ||||
\(459\) | −5.54411 | + | 9.60269i | −0.258777 | + | 0.448215i | ||||
\(460\) | 1.32735 | + | 2.29904i | 0.0618881 | + | 0.107193i | ||||
\(461\) | −9.87848 | + | 17.1100i | −0.460087 | + | 0.796894i | −0.998965 | − | 0.0454900i | \(-0.985515\pi\) |
0.538878 | + | 0.842384i | \(0.318848\pi\) | |||||||
\(462\) | 0.511592 | + | 0.886103i | 0.0238014 | + | 0.0412253i | ||||
\(463\) | 28.9468 | 1.34527 | 0.672635 | − | 0.739974i | \(-0.265162\pi\) | ||||
0.672635 | + | 0.739974i | \(0.265162\pi\) | |||||||
\(464\) | −3.50702 | −0.162809 | ||||||||
\(465\) | −1.39608 | − | 2.41808i | −0.0647417 | − | 0.112136i | ||||
\(466\) | −7.76609 | − | 13.4513i | −0.359757 | − | 0.623118i | ||||
\(467\) | −3.31722 | −0.153503 | −0.0767513 | − | 0.997050i | \(-0.524455\pi\) | ||||
−0.0767513 | + | 0.997050i | \(0.524455\pi\) | |||||||
\(468\) | 5.63266 | 0.260370 | ||||||||
\(469\) | −0.633551 | − | 1.09734i | −0.0292547 | − | 0.0506706i | ||||
\(470\) | 3.50000 | − | 6.06218i | 0.161443 | − | 0.279627i | ||||
\(471\) | −8.57730 | − | 14.8563i | −0.395221 | − | 0.684543i | ||||
\(472\) | 8.77457 | − | 15.1980i | 0.403882 | − | 0.699544i | ||||
\(473\) | 0.705838 | − | 1.22255i | 0.0324544 | − | 0.0562127i | ||||
\(474\) | −43.1606 | −1.98243 | ||||||||
\(475\) | 1.33281 | − | 4.15013i | 0.0611537 | − | 0.190421i | ||||
\(476\) | −4.06327 | −0.186240 | ||||||||
\(477\) | −13.7339 | + | 23.7878i | −0.628833 | + | 1.08917i | ||||
\(478\) | 6.61907 | − | 11.4646i | 0.302749 | − | 0.524377i | ||||
\(479\) | 19.7535 | + | 34.2141i | 0.902561 | + | 1.56328i | 0.824158 | + | 0.566360i | \(0.191649\pi\) |
0.0784026 | + | 0.996922i | \(0.475018\pi\) | |||||||
\(480\) | 3.19024 | − | 5.52566i | 0.145614 | − | 0.252211i | ||||
\(481\) | 27.1737 | + | 47.0662i | 1.23901 | + | 2.14603i | ||||
\(482\) | −12.0642 | −0.549507 | ||||||||
\(483\) | 15.3765 | 0.699654 | ||||||||
\(484\) | −2.76799 | − | 4.79430i | −0.125818 | − | 0.217923i | ||||
\(485\) | 5.87147 | + | 10.1697i | 0.266610 | + | 0.461781i | ||||
\(486\) | −23.4389 | −1.06321 | ||||||||
\(487\) | −24.7781 | −1.12280 | −0.561402 | − | 0.827543i | \(-0.689738\pi\) | ||||
−0.561402 | + | 0.827543i | \(0.689738\pi\) | |||||||
\(488\) | 6.82770 | + | 11.8259i | 0.309075 | + | 0.535334i | ||||
\(489\) | −24.9312 | + | 43.1821i | −1.12743 | + | 1.95276i | ||||
\(490\) | −3.26755 | − | 5.65956i | −0.147613 | − | 0.255673i | ||||
\(491\) | 6.81176 | − | 11.7983i | 0.307410 | − | 0.532450i | −0.670385 | − | 0.742014i | \(-0.733871\pi\) |
0.977795 | + | 0.209563i | \(0.0672042\pi\) | |||||||
\(492\) | −0.487421 | + | 0.844239i | −0.0219747 | + | 0.0380612i | ||||
\(493\) | −8.01404 | −0.360934 | ||||||||
\(494\) | −17.8865 | − | 19.7291i | −0.804752 | − | 0.887656i | ||||
\(495\) | −0.633551 | −0.0284760 | ||||||||
\(496\) | −1.66719 | + | 2.88765i | −0.0748589 | + | 0.129659i | ||||
\(497\) | −1.87804 | + | 3.25286i | −0.0842416 | + | 0.145911i | ||||
\(498\) | −2.32535 | − | 4.02763i | −0.104201 | − | 0.180482i | ||||
\(499\) | −4.09490 | + | 7.09257i | −0.183313 | + | 0.317507i | −0.943007 | − | 0.332774i | \(-0.892015\pi\) |
0.759694 | + | 0.650281i | \(0.225349\pi\) | |||||||
\(500\) | −0.253509 | − | 0.439091i | −0.0113373 | − | 0.0196367i | ||||
\(501\) | 25.7882 | 1.15213 | ||||||||
\(502\) | 21.7140 | 0.969142 | ||||||||
\(503\) | −9.14257 | − | 15.8354i | −0.407647 | − | 0.706065i | 0.586978 | − | 0.809603i | \(-0.300317\pi\) |
−0.994626 | + | 0.103537i | \(0.966984\pi\) | |||||||
\(504\) | −4.37347 | − | 7.57507i | −0.194810 | − | 0.337420i | ||||
\(505\) | 7.91869 | 0.352377 | ||||||||
\(506\) | −1.82424 | −0.0810973 | ||||||||
\(507\) | −13.7109 | − | 23.7479i | −0.608920 | − | 1.05468i | ||||
\(508\) | 2.36556 | − | 4.09727i | 0.104955 | − | 0.181787i | ||||
\(509\) | −5.94220 | − | 10.2922i | −0.263383 | − | 0.456193i | 0.703756 | − | 0.710442i | \(-0.251505\pi\) |
−0.967139 | + | 0.254249i | \(0.918172\pi\) | |||||||
\(510\) | −8.70584 | + | 15.0790i | −0.385501 | + | 0.667707i | ||||
\(511\) | −0.490980 | + | 0.850402i | −0.0217197 | + | 0.0376196i | ||||
\(512\) | −24.3382 | −1.07561 | ||||||||
\(513\) | −5.20584 | − | 5.74213i | −0.229843 | − | 0.253521i | ||||
\(514\) | 9.96881 | 0.439705 | ||||||||
\(515\) | −6.41012 | + | 11.1026i | −0.282464 | + | 0.489241i | ||||
\(516\) | −2.86801 | + | 4.96753i | −0.126257 | + | 0.218683i | ||||
\(517\) | −0.816776 | − | 1.41470i | −0.0359218 | − | 0.0622183i | ||||
\(518\) | 8.53408 | − | 14.7815i | 0.374966 | − | 0.649460i | ||||
\(519\) | 6.69024 | + | 11.5878i | 0.293669 | + | 0.508650i | ||||
\(520\) | −15.3163 | −0.671666 | ||||||||
\(521\) | 21.3725 | 0.936345 | 0.468173 | − | 0.883637i | \(-0.344913\pi\) | ||||
0.468173 | + | 0.883637i | \(0.344913\pi\) | |||||||
\(522\) | −1.74449 | − | 3.02154i | −0.0763542 | − | 0.132249i | ||||
\(523\) | 2.88862 | + | 5.00323i | 0.126310 | + | 0.218776i | 0.922244 | − | 0.386607i | \(-0.126353\pi\) |
−0.795934 | + | 0.605383i | \(0.793020\pi\) | |||||||
\(524\) | −6.30007 | −0.275220 | ||||||||
\(525\) | −2.93673 | −0.128170 | ||||||||
\(526\) | −3.85943 | − | 6.68473i | −0.168279 | − | 0.291468i | ||||
\(527\) | −3.80976 | + | 6.59869i | −0.165956 | + | 0.287444i | ||||
\(528\) | 0.889062 | + | 1.53990i | 0.0386915 | + | 0.0670156i | ||||
\(529\) | −2.20739 | + | 3.82332i | −0.0959737 | + | 0.166231i | ||||
\(530\) | 7.55269 | − | 13.0816i | 0.328068 | − | 0.568230i | ||||
\(531\) | 12.7289 | 0.552387 | ||||||||
\(532\) | 0.868450 | − | 2.70419i | 0.0376521 | − | 0.117242i | ||||
\(533\) | 4.20695 | 0.182223 | ||||||||
\(534\) | 22.3765 | − | 38.7572i | 0.968325 | − | 1.67719i | ||||
\(535\) | 6.90310 | − | 11.9565i | 0.298447 | − | 0.516925i | ||||
\(536\) | −1.51013 | − | 2.61563i | −0.0652278 | − | 0.112978i | ||||
\(537\) | 21.4714 | − | 37.1895i | 0.926559 | − | 1.60485i | ||||
\(538\) | −5.03354 | − | 8.71834i | −0.217011 | − | 0.375874i | ||||
\(539\) | −1.52506 | −0.0656889 | ||||||||
\(540\) | −0.901542 | −0.0387962 | ||||||||
\(541\) | −1.31678 | − | 2.28072i | −0.0566126 | − | 0.0980559i | 0.836330 | − | 0.548226i | \(-0.184697\pi\) |
−0.892943 | + | 0.450170i | \(0.851363\pi\) | |||||||
\(542\) | 2.57930 | + | 4.46749i | 0.110791 | + | 0.191895i | ||||
\(543\) | 30.4959 | 1.30870 | ||||||||
\(544\) | −17.4117 | −0.746519 | ||||||||
\(545\) | −4.60192 | − | 7.97076i | −0.197125 | − | 0.341430i | ||||
\(546\) | −8.97081 | + | 15.5379i | −0.383915 | + | 0.664961i | ||||
\(547\) | 18.1812 | + | 31.4908i | 0.777373 | + | 1.34645i | 0.933451 | + | 0.358705i | \(0.116782\pi\) |
−0.156078 | + | 0.987745i | \(0.549885\pi\) | |||||||
\(548\) | −4.69882 | + | 8.13859i | −0.200724 | + | 0.347663i | ||||
\(549\) | −4.95233 | + | 8.57768i | −0.211360 | + | 0.366087i | ||||
\(550\) | 0.348409 | 0.0148562 | ||||||||
\(551\) | 1.71286 | − | 5.33351i | 0.0729701 | − | 0.227215i | ||||
\(552\) | 36.6514 | 1.55999 | ||||||||
\(553\) | −9.93273 | + | 17.2040i | −0.422383 | + | 0.731588i | ||||
\(554\) | 6.01003 | − | 10.4097i | 0.255342 | − | 0.442265i | ||||
\(555\) | 12.4191 | + | 21.5106i | 0.527163 | + | 0.913073i | ||||
\(556\) | −1.52461 | + | 2.64071i | −0.0646581 | + | 0.111991i | ||||
\(557\) | −11.9824 | − | 20.7541i | −0.507711 | − | 0.879381i | −0.999960 | − | 0.00892662i | \(-0.997159\pi\) |
0.492249 | − | 0.870454i | \(-0.336175\pi\) | |||||||
\(558\) | −3.31722 | −0.140429 | ||||||||
\(559\) | 24.7539 | 1.04698 | ||||||||
\(560\) | 1.75351 | + | 3.03717i | 0.0740993 | + | 0.128344i | ||||
\(561\) | 2.03163 | + | 3.51889i | 0.0857756 | + | 0.148568i | ||||
\(562\) | 6.57429 | 0.277320 | ||||||||
\(563\) | −8.52017 | −0.359082 | −0.179541 | − | 0.983750i | \(-0.557461\pi\) | ||||
−0.179541 | + | 0.983750i | \(0.557461\pi\) | |||||||
\(564\) | 3.31878 | + | 5.74829i | 0.139746 | + | 0.242047i | ||||
\(565\) | −8.66363 | + | 15.0058i | −0.364482 | + | 0.631301i | ||||
\(566\) | 3.03319 | + | 5.25364i | 0.127495 | + | 0.220827i | ||||
\(567\) | −6.89408 | + | 11.9409i | −0.289524 | + | 0.501470i | ||||
\(568\) | −4.47650 | + | 7.75352i | −0.187830 | + | 0.325331i | ||||
\(569\) | 16.3734 | 0.686407 | 0.343204 | − | 0.939261i | \(-0.388488\pi\) | ||||
0.343204 | + | 0.939261i | \(0.388488\pi\) | |||||||
\(570\) | −8.17465 | − | 9.01678i | −0.342398 | − | 0.377671i | ||||
\(571\) | −5.21876 | −0.218398 | −0.109199 | − | 0.994020i | \(-0.534829\pi\) | ||||
−0.109199 | + | 0.994020i | \(0.534829\pi\) | |||||||
\(572\) | −0.361431 | + | 0.626018i | −0.0151122 | + | 0.0261751i | ||||
\(573\) | 0.764087 | − | 1.32344i | 0.0319202 | − | 0.0552874i | ||||
\(574\) | −0.660611 | − | 1.14421i | −0.0275734 | − | 0.0477585i | ||||
\(575\) | 2.61796 | − | 4.53443i | 0.109176 | − | 0.189099i | ||||
\(576\) | −9.85343 | − | 17.0666i | −0.410559 | − | 0.711110i | ||||
\(577\) | −32.0390 | −1.33380 | −0.666900 | − | 0.745147i | \(-0.732379\pi\) | ||||
−0.666900 | + | 0.745147i | \(0.732379\pi\) | |||||||
\(578\) | 26.7427 | 1.11235 | ||||||||
\(579\) | 4.30074 | + | 7.44910i | 0.178733 | + | 0.309574i | ||||
\(580\) | −0.325796 | − | 0.564295i | −0.0135279 | − | 0.0234311i | ||||
\(581\) | −2.14057 | −0.0888058 | ||||||||
\(582\) | 32.7882 | 1.35911 | ||||||||
\(583\) | −1.76253 | − | 3.05279i | −0.0729965 | − | 0.126434i | ||||
\(584\) | −1.17030 | + | 2.02702i | −0.0484274 | + | 0.0838787i | ||||
\(585\) | −5.55469 | − | 9.62101i | −0.229658 | − | 0.397780i | ||||
\(586\) | 2.32535 | − | 4.02763i | 0.0960594 | − | 0.166380i | ||||
\(587\) | 1.67220 | − | 2.89634i | 0.0690192 | − | 0.119545i | −0.829451 | − | 0.558580i | \(-0.811346\pi\) |
0.898470 | + | 0.439035i | \(0.144680\pi\) | |||||||
\(588\) | 6.19672 | 0.255548 | ||||||||
\(589\) | −3.57730 | − | 3.94583i | −0.147400 | − | 0.162585i | ||||
\(590\) | −7.00000 | −0.288185 | ||||||||
\(591\) | −16.7003 | + | 28.9257i | −0.686958 | + | 1.18985i | ||||
\(592\) | 14.8308 | − | 25.6877i | 0.609543 | − | 1.05576i | ||||
\(593\) | −21.1054 | − | 36.5556i | −0.866694 | − | 1.50116i | −0.865355 | − | 0.501159i | \(-0.832907\pi\) |
−0.00133875 | − | 0.999999i | \(-0.500426\pi\) | |||||||
\(594\) | 0.309757 | − | 0.536515i | 0.0127095 | − | 0.0220135i | ||||
\(595\) | 4.00702 | + | 6.94036i | 0.164272 | + | 0.284527i | ||||
\(596\) | 3.44375 | 0.141062 | ||||||||
\(597\) | 26.3273 | 1.07750 | ||||||||
\(598\) | −15.9941 | − | 27.7026i | −0.654047 | − | 1.13284i | ||||
\(599\) | 2.60938 | + | 4.51958i | 0.106616 | + | 0.184665i | 0.914397 | − | 0.404818i | \(-0.132665\pi\) |
−0.807781 | + | 0.589483i | \(0.799332\pi\) | |||||||
\(600\) | −7.00000 | −0.285774 | ||||||||
\(601\) | −10.1546 | −0.414215 | −0.207108 | − | 0.978318i | \(-0.566405\pi\) | ||||
−0.207108 | + | 0.978318i | \(0.566405\pi\) | |||||||
\(602\) | −3.88706 | − | 6.73259i | −0.158425 | − | 0.274400i | ||||
\(603\) | 1.09534 | − | 1.89719i | 0.0446058 | − | 0.0772596i | ||||
\(604\) | −4.02763 | − | 6.97606i | −0.163882 | − | 0.283852i | ||||
\(605\) | −5.45935 | + | 9.45587i | −0.221954 | + | 0.384436i | ||||
\(606\) | 11.0551 | − | 19.1481i | 0.449084 | − | 0.777837i | ||||
\(607\) | 42.8764 | 1.74030 | 0.870149 | − | 0.492788i | \(-0.164022\pi\) | ||||
0.870149 | + | 0.492788i | \(0.164022\pi\) | |||||||
\(608\) | 3.72143 | − | 11.5878i | 0.150924 | − | 0.469949i | ||||
\(609\) | −3.77412 | −0.152935 | ||||||||
\(610\) | 2.72343 | − | 4.71713i | 0.110269 | − | 0.190991i | ||||
\(611\) | 14.3222 | − | 24.8068i | 0.579416 | − | 1.00358i | ||||
\(612\) | −3.51248 | − | 6.08379i | −0.141984 | − | 0.245923i | ||||
\(613\) | −12.5367 | + | 21.7141i | −0.506351 | + | 0.877025i | 0.493622 | + | 0.869676i | \(0.335672\pi\) |
−0.999973 | + | 0.00734857i | \(0.997661\pi\) | |||||||
\(614\) | −0.350854 | − | 0.607697i | −0.0141593 | − | 0.0245247i | ||||
\(615\) | 1.92270 | 0.0775306 | ||||||||
\(616\) | 1.12253 | 0.0452280 | ||||||||
\(617\) | 2.74849 | + | 4.76053i | 0.110650 | + | 0.191652i | 0.916033 | − | 0.401104i | \(-0.131373\pi\) |
−0.805382 | + | 0.592756i | \(0.798040\pi\) | |||||||
\(618\) | 17.8981 | + | 31.0004i | 0.719966 | + | 1.24702i | ||||
\(619\) | 15.4899 | 0.622590 | 0.311295 | − | 0.950313i | \(-0.399237\pi\) | ||||
0.311295 | + | 0.950313i | \(0.399237\pi\) | |||||||
\(620\) | −0.619514 | −0.0248803 | ||||||||
\(621\) | −4.65505 | − | 8.06279i | −0.186801 | − | 0.323548i | ||||
\(622\) | 5.26409 | − | 9.11767i | 0.211071 | − | 0.365585i | ||||
\(623\) | −10.2992 | − | 17.8387i | −0.412628 | − | 0.714693i | ||||
\(624\) | −15.5898 | + | 27.0023i | −0.624091 | + | 1.08096i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −41.6946 | −1.66645 | ||||||||
\(627\) | −2.77612 | + | 0.599995i | −0.110868 | + | 0.0239615i | ||||
\(628\) | −3.80620 | −0.151884 | ||||||||
\(629\) | 33.8905 | − | 58.7001i | 1.35130 | − | 2.34053i | ||||
\(630\) | −1.74449 | + | 3.02154i | −0.0695021 | + | 0.120381i | ||||
\(631\) | −20.6616 | − | 35.7870i | −0.822526 | − | 1.42466i | −0.903795 | − | 0.427965i | \(-0.859231\pi\) |
0.0812689 | − | 0.996692i | \(-0.474103\pi\) | |||||||
\(632\) | −23.6757 | + | 41.0075i | −0.941767 | + | 1.63119i | ||||
\(633\) | 19.5843 | + | 33.9210i | 0.778407 | + | 1.34824i | ||||
\(634\) | −13.5351 | −0.537547 | ||||||||
\(635\) | −9.33126 | −0.370300 | ||||||||
\(636\) | 7.16163 | + | 12.4043i | 0.283977 | + | 0.491862i | ||||
\(637\) | −13.3710 | − | 23.1593i | −0.529779 | − | 0.917604i | ||||
\(638\) | 0.447755 | 0.0177268 | ||||||||
\(639\) | −6.49387 | −0.256894 | ||||||||
\(640\) | 2.62653 | + | 4.54929i | 0.103823 | + | 0.179826i | ||||
\(641\) | 15.3358 | − | 26.5624i | 0.605729 | − | 1.04915i | −0.386207 | − | 0.922412i | \(-0.626215\pi\) |
0.991936 | − | 0.126741i | \(-0.0404517\pi\) | |||||||
\(642\) | −19.2746 | − | 33.3845i | −0.760706 | − | 1.31758i | ||||
\(643\) | 4.00902 | − | 6.94383i | 0.158100 | − | 0.273838i | −0.776083 | − | 0.630630i | \(-0.782796\pi\) |
0.934184 | + | 0.356793i | \(0.116130\pi\) | |||||||
\(644\) | 1.70584 | − | 2.95460i | 0.0672194 | − | 0.116427i | ||||
\(645\) | 11.3132 | 0.445457 | ||||||||
\(646\) | −10.1554 | + | 31.6220i | −0.399559 | + | 1.24415i | ||||
\(647\) | 10.0272 | 0.394209 | 0.197105 | − | 0.980382i | \(-0.436846\pi\) | ||||
0.197105 | + | 0.980382i | \(0.436846\pi\) | |||||||
\(648\) | −16.4327 | + | 28.4623i | −0.645539 | + | 1.11811i | ||||
\(649\) | −0.816776 | + | 1.41470i | −0.0320612 | + | 0.0555317i | ||||
\(650\) | 3.05469 | + | 5.29088i | 0.119815 | + | 0.207525i | ||||
\(651\) | −1.79416 | + | 3.10758i | −0.0703188 | + | 0.121796i | ||||
\(652\) | 5.53163 | + | 9.58107i | 0.216635 | + | 0.375224i | ||||
\(653\) | 20.4117 | 0.798771 | 0.399385 | − | 0.916783i | \(-0.369224\pi\) | ||||
0.399385 | + | 0.916783i | \(0.369224\pi\) | |||||||
\(654\) | −25.6986 | −1.00489 | ||||||||
\(655\) | 6.21286 | + | 10.7610i | 0.242756 | + | 0.420466i | ||||
\(656\) | −1.14803 | − | 1.98845i | −0.0448231 | − | 0.0776360i | ||||
\(657\) | −1.69771 | −0.0662338 | ||||||||
\(658\) | −8.99600 | −0.350700 | ||||||||
\(659\) | 18.4874 | + | 32.0212i | 0.720168 | + | 1.24737i | 0.960932 | + | 0.276783i | \(0.0892685\pi\) |
−0.240765 | + | 0.970584i | \(0.577398\pi\) | |||||||
\(660\) | −0.165184 | + | 0.286108i | −0.00642980 | + | 0.0111367i | ||||
\(661\) | −1.59646 | − | 2.76514i | −0.0620950 | − | 0.107552i | 0.833307 | − | 0.552811i | \(-0.186445\pi\) |
−0.895402 | + | 0.445259i | \(0.853112\pi\) | |||||||
\(662\) | −3.91714 | + | 6.78468i | −0.152244 | + | 0.263694i | ||||
\(663\) | −35.6249 | + | 61.7041i | −1.38356 | + | 2.39639i | ||||
\(664\) | −5.10226 | −0.198006 | ||||||||
\(665\) | −5.47539 | + | 1.18338i | −0.212326 | + | 0.0458895i | ||||
\(666\) | 29.5090 | 1.14345 | ||||||||
\(667\) | 3.36445 | − | 5.82739i | 0.130272 | − | 0.225638i | ||||
\(668\) | 2.86089 | − | 4.95520i | 0.110691 | − | 0.191723i | ||||
\(669\) | −1.74147 | − | 3.01632i | −0.0673292 | − | 0.116618i | ||||
\(670\) | −0.602362 | + | 1.04332i | −0.0232713 | + | 0.0403070i | ||||
\(671\) | −0.635553 | − | 1.10081i | −0.0245352 | − | 0.0424963i | ||||
\(672\) | −8.19983 | −0.316315 | ||||||||
\(673\) | −15.0742 | −0.581067 | −0.290534 | − | 0.956865i | \(-0.593833\pi\) | ||||
−0.290534 | + | 0.956865i | \(0.593833\pi\) | |||||||
\(674\) | 15.4366 | + | 26.7370i | 0.594597 | + | 1.02987i | ||||
\(675\) | 0.889062 | + | 1.53990i | 0.0342200 | + | 0.0592708i | ||||
\(676\) | −6.08422 | −0.234009 | ||||||||
\(677\) | 17.9648 | 0.690444 | 0.345222 | − | 0.938521i | \(-0.387804\pi\) | ||||
0.345222 | + | 0.938521i | \(0.387804\pi\) | |||||||
\(678\) | 24.1902 | + | 41.8987i | 0.929021 | + | 1.60911i | ||||
\(679\) | 7.54567 | − | 13.0695i | 0.289576 | − | 0.501561i | ||||
\(680\) | 9.55113 | + | 16.5430i | 0.366269 | + | 0.634397i | ||||
\(681\) | −4.57028 | + | 7.91597i | −0.175134 | + | 0.303340i | ||||
\(682\) | 0.212856 | − | 0.368678i | 0.00815069 | − | 0.0141174i | ||||
\(683\) | −3.78524 | −0.144838 | −0.0724191 | − | 0.997374i | \(-0.523072\pi\) | ||||
−0.0724191 | + | 0.997374i | \(0.523072\pi\) | |||||||
\(684\) | 4.79962 | − | 1.03733i | 0.183518 | − | 0.0396633i | ||||
\(685\) | 18.5351 | 0.708190 | ||||||||
\(686\) | −9.69526 | + | 16.7927i | −0.370167 | + | 0.641148i | ||||
\(687\) | −21.0687 | + | 36.4921i | −0.803822 | + | 1.39226i | ||||
\(688\) | −6.75507 | − | 11.7001i | −0.257534 | − | 0.446063i | ||||
\(689\) | 30.9061 | − | 53.5310i | 1.17743 | − | 2.03937i | ||||
\(690\) | −7.30976 | − | 12.6609i | −0.278278 | − | 0.481991i | ||||
\(691\) | −10.3335 | −0.393104 | −0.196552 | − | 0.980493i | \(-0.562974\pi\) | ||||
−0.196552 | + | 0.980493i | \(0.562974\pi\) | |||||||
\(692\) | 2.96881 | 0.112857 | ||||||||
\(693\) | 0.407102 | + | 0.705121i | 0.0154645 | + | 0.0267853i | ||||
\(694\) | −7.58086 | − | 13.1304i | −0.287766 | − | 0.498425i | ||||
\(695\) | 6.01404 | 0.228125 | ||||||||
\(696\) | −8.99600 | −0.340992 | ||||||||
\(697\) | −2.62342 | − | 4.54389i | −0.0993690 | − | 0.172112i | ||||
\(698\) | −3.79016 | + | 6.56475i | −0.143460 | + | 0.248479i | ||||
\(699\) | −14.5241 | − | 25.1564i | −0.549351 | − | 0.951504i | ||||
\(700\) | −0.325796 | + | 0.564295i | −0.0123139 | + | 0.0213283i | ||||
\(701\) | −17.9980 | + | 31.1734i | −0.679775 | + | 1.17740i | 0.295273 | + | 0.955413i | \(0.404589\pi\) |
−0.975048 | + | 0.221992i | \(0.928744\pi\) | |||||||
\(702\) | 10.8632 | 0.410006 | ||||||||
\(703\) | 31.8227 | + | 35.1010i | 1.20022 | + | 1.32386i | ||||
\(704\) | 2.52906 | 0.0953176 | ||||||||
\(705\) | 6.54567 | − | 11.3374i | 0.246524 | − | 0.426992i | ||||
\(706\) | 14.2644 | − | 24.7067i | 0.536849 | − | 0.929850i | ||||
\(707\) | −5.08832 | − | 8.81324i | −0.191366 | − | 0.331456i | ||||
\(708\) | 3.31878 | − | 5.74829i | 0.124727 | − | 0.216034i | ||||
\(709\) | −4.40266 | − | 7.62562i | −0.165345 | − | 0.286386i | 0.771433 | − | 0.636311i | \(-0.219540\pi\) |
−0.936778 | + | 0.349925i | \(0.886207\pi\) | |||||||
\(710\) | 3.57117 | 0.134024 | ||||||||
\(711\) | −34.3453 | −1.28805 | ||||||||
\(712\) | −24.5491 | − | 42.5203i | −0.920018 | − | 1.59352i | ||||
\(713\) | −3.19882 | − | 5.54052i | −0.119797 | − | 0.207494i | ||||
\(714\) | 22.3765 | 0.837419 | ||||||||
\(715\) | 1.42571 | 0.0533186 | ||||||||
\(716\) | −4.76399 | − | 8.25147i | −0.178039 | − | 0.308372i | ||||
\(717\) | 12.3789 | − | 21.4409i | 0.462300 | − | 0.800726i | ||||
\(718\) | 23.0457 | + | 39.9163i | 0.860057 | + | 1.48966i | ||||
\(719\) | −9.49600 | + | 16.4475i | −0.354141 | + | 0.613390i | −0.986971 | − | 0.160901i | \(-0.948560\pi\) |
0.632830 | + | 0.774291i | \(0.281893\pi\) | |||||||
\(720\) | −3.03163 | + | 5.25094i | −0.112982 | + | 0.195691i | ||||
\(721\) | 16.4758 | 0.613592 | ||||||||
\(722\) | −18.8746 | − | 13.5173i | −0.702439 | − | 0.503061i | ||||
\(723\) | −22.5623 | −0.839100 | ||||||||
\(724\) | 3.38316 | − | 5.85980i | 0.125734 | − | 0.217778i | ||||
\(725\) | −0.642571 | + | 1.11297i | −0.0238645 | + | 0.0413345i | ||||
\(726\) | 15.2434 | + | 26.4023i | 0.565735 | + | 0.979881i | ||||
\(727\) | −2.04567 | + | 3.54321i | −0.0758697 | + | 0.131410i | −0.901464 | − | 0.432854i | \(-0.857507\pi\) |
0.825594 | + | 0.564264i | \(0.190840\pi\) | |||||||
\(728\) | 9.84183 | + | 17.0466i | 0.364763 | + | 0.631787i | ||||
\(729\) | −11.6485 | −0.431425 | ||||||||
\(730\) | 0.933619 | 0.0345548 | ||||||||
\(731\) | −15.4363 | − | 26.7364i | −0.570932 | − | 0.988883i | ||||
\(732\) | 2.58242 | + | 4.47288i | 0.0954490 | + | 0.165322i | ||||
\(733\) | −50.4678 | −1.86407 | −0.932036 | − | 0.362366i | \(-0.881969\pi\) | ||||
−0.932036 | + | 0.362366i | \(0.881969\pi\) | |||||||
\(734\) | 35.9325 | 1.32629 | ||||||||
\(735\) | −6.11094 | − | 10.5845i | −0.225405 | − | 0.390414i | ||||
\(736\) | 7.30976 | − | 12.6609i | 0.269441 | − | 0.466686i | ||||
\(737\) | 0.140570 | + | 0.243474i | 0.00517796 | + | 0.00896849i | ||||
\(738\) | 1.14213 | − | 1.97822i | 0.0420423 | − | 0.0728194i | ||||
\(739\) | −17.1148 | + | 29.6438i | −0.629580 | + | 1.09046i | 0.358056 | + | 0.933700i | \(0.383440\pi\) |
−0.987636 | + | 0.156764i | \(0.949894\pi\) | |||||||
\(740\) | 5.51102 | 0.202589 | ||||||||
\(741\) | −33.4512 | − | 36.8973i | −1.22886 | − | 1.35545i | ||||
\(742\) | −19.4126 | −0.712658 | ||||||||
\(743\) | −11.2996 | + | 19.5715i | −0.414543 | + | 0.718010i | −0.995380 | − | 0.0960101i | \(-0.969392\pi\) |
0.580837 | + | 0.814020i | \(0.302725\pi\) | |||||||
\(744\) | −4.27657 | + | 7.40723i | −0.156787 | + | 0.271562i | ||||
\(745\) | −3.39608 | − | 5.88218i | −0.124423 | − | 0.215507i | ||||
\(746\) | 13.1652 | − | 22.8028i | 0.482012 | − | 0.834869i | ||||
\(747\) | −1.85041 | − | 3.20500i | −0.0677030 | − | 0.117265i | ||||
\(748\) | 0.901542 | 0.0329636 | ||||||||
\(749\) | −17.7429 | −0.648313 | ||||||||
\(750\) | 1.39608 | + | 2.41808i | 0.0509777 | + | 0.0882959i | ||||
\(751\) | 12.7199 | + | 22.0315i | 0.464155 | + | 0.803940i | 0.999163 | − | 0.0409072i | \(-0.0130248\pi\) |
−0.535008 | + | 0.844847i | \(0.679691\pi\) | |||||||
\(752\) | −15.6336 | −0.570097 | ||||||||
\(753\) | 40.6093 | 1.47988 | ||||||||
\(754\) | 3.92571 | + | 6.79953i | 0.142966 | + | 0.247624i | ||||
\(755\) | −7.94375 | + | 13.7590i | −0.289103 | + | 0.500741i | ||||
\(756\) | 0.579305 | + | 1.00339i | 0.0210691 | + | 0.0364928i | ||||
\(757\) | −21.4015 | + | 37.0686i | −0.777852 | + | 1.34728i | 0.155325 | + | 0.987863i | \(0.450357\pi\) |
−0.933177 | + | 0.359416i | \(0.882976\pi\) | |||||||
\(758\) | 11.8489 | − | 20.5228i | 0.430370 | − | 0.745422i | ||||
\(759\) | −3.41168 | −0.123836 | ||||||||
\(760\) | −13.0511 | + | 2.82070i | −0.473414 | + | 0.102318i | ||||
\(761\) | −29.8944 | −1.08367 | −0.541836 | − | 0.840484i | \(-0.682271\pi\) | ||||
−0.541836 | + | 0.840484i | \(0.682271\pi\) | |||||||
\(762\) | −13.0272 | + | 22.5637i | −0.471925 | + | 0.817398i | ||||
\(763\) | −5.91412 | + | 10.2436i | −0.214106 | + | 0.370842i | ||||
\(764\) | −0.169533 | − | 0.293639i | −0.00613347 | − | 0.0106235i | ||||
\(765\) | −6.92771 | + | 11.9992i | −0.250472 | + | 0.433830i | ||||
\(766\) | −11.5386 | − | 19.9854i | −0.416905 | − | 0.722100i | ||||
\(767\) | −28.6445 | −1.03429 | ||||||||
\(768\) | −25.8686 | −0.933452 | ||||||||
\(769\) | 8.32179 | + | 14.4138i | 0.300092 | + | 0.519774i | 0.976156 | − | 0.217068i | \(-0.0696494\pi\) |
−0.676065 | + | 0.736842i | \(0.736316\pi\) | |||||||
\(770\) | −0.223877 | − | 0.387767i | −0.00806798 | − | 0.0139742i | ||||
\(771\) | 18.6436 | 0.671432 | ||||||||
\(772\) | 1.90846 | 0.0686871 | ||||||||
\(773\) | −3.05669 | − | 5.29435i | −0.109942 | − | 0.190424i | 0.805805 | − | 0.592181i | \(-0.201733\pi\) |
−0.915746 | + | 0.401757i | \(0.868400\pi\) | |||||||
\(774\) | 6.72032 | − | 11.6399i | 0.241557 | − | 0.418389i | ||||
\(775\) | 0.610938 | + | 1.05818i | 0.0219455 | + | 0.0380108i | ||||
\(776\) | 17.9859 | − | 31.1524i | 0.645655 | − | 1.11831i | ||||
\(777\) | 15.9604 | − | 27.6442i | 0.572575 | − | 0.991729i | ||||
\(778\) | −11.0951 | −0.397780 | ||||||||
\(779\) | 3.58477 | − | 0.774765i | 0.128438 | − | 0.0277588i | ||||
\(780\) | −5.79305 | −0.207424 | ||||||||
\(781\) | 0.416692 | − | 0.721732i | 0.0149104 | − | 0.0258256i | ||||
\(782\) | −19.9476 | + | 34.5502i | −0.713323 | + | 1.23551i | ||||
\(783\) | 1.14257 | + | 1.97899i | 0.0408322 | + | 0.0707234i | ||||
\(784\) | −7.29762 | + | 12.6399i | −0.260629 | + | 0.451423i | ||||
\(785\) | 3.75351 | + | 6.50127i | 0.133968 | + | 0.232040i | ||||
\(786\) | 34.6946 | 1.23752 | ||||||||
\(787\) | −18.7781 | −0.669368 | −0.334684 | − | 0.942330i | \(-0.608630\pi\) | ||||
−0.334684 | + | 0.942330i | \(0.608630\pi\) | |||||||
\(788\) | 3.70539 | + | 6.41793i | 0.131999 | + | 0.228629i | ||||
\(789\) | −7.21787 | − | 12.5017i | −0.256963 | − | 0.445073i | ||||
\(790\) | 18.8875 | 0.671987 | ||||||||
\(791\) | 22.2680 | 0.791759 | ||||||||
\(792\) | 0.970368 | + | 1.68073i | 0.0344805 | + | 0.0597220i | ||||
\(793\) | 11.1445 | − | 19.3028i | 0.395752 | − | 0.685462i | ||||
\(794\) | −10.3835 | − | 17.9848i | −0.368497 | − | 0.638255i | ||||
\(795\) | 14.1250 | − | 24.4652i | 0.500961 | − | 0.867690i | ||||
\(796\) | 2.92070 | − | 5.05879i | 0.103521 | − | 0.179304i | ||||
\(797\) | 30.2851 | 1.07275 | 0.536377 | − | 0.843978i | \(-0.319792\pi\) | ||||
0.536377 | + | 0.843978i | \(0.319792\pi\) | |||||||
\(798\) | −4.78257 | + | 14.8920i | −0.169301 | + | 0.527172i | ||||
\(799\) | −35.7249 | −1.26386 | ||||||||
\(800\) | −1.39608 | + | 2.41808i | −0.0493589 | + | 0.0854921i | ||||
\(801\) | 17.8062 | − | 30.8412i | 0.629151 | − | 1.08972i | ||||
\(802\) | −0.972271 | − | 1.68402i | −0.0343321 | − | 0.0594649i | ||||
\(803\) | 0.108937 | − | 0.188684i | 0.00384430 | − | 0.00665851i | ||||
\(804\) | −0.571173 | − | 0.989301i | −0.0201437 | − | 0.0348899i | ||||
\(805\) | −6.72889 | −0.237162 | ||||||||
\(806\) | 7.46491 | 0.262940 | ||||||||
\(807\) | −9.41368 | − | 16.3050i | −0.331377 | − | 0.573962i | ||||
\(808\) | −12.1285 | − | 21.0072i | −0.426680 | − | 0.739032i | ||||
\(809\) | 13.6015 | 0.478202 | 0.239101 | − | 0.970995i | \(-0.423147\pi\) | ||||
0.239101 | + | 0.970995i | \(0.423147\pi\) | |||||||
\(810\) | 13.1094 | 0.460617 | ||||||||
\(811\) | −0.799180 | − | 1.38422i | −0.0280630 | − | 0.0486065i | 0.851653 | − | 0.524106i | \(-0.175601\pi\) |
−0.879716 | + | 0.475500i | \(0.842267\pi\) | |||||||
\(812\) | −0.418694 | + | 0.725199i | −0.0146933 | + | 0.0254495i | ||||
\(813\) | 4.82379 | + | 8.35506i | 0.169178 | + | 0.293025i | ||||
\(814\) | −1.89351 | + | 3.27965i | −0.0663674 | + | 0.114952i | ||||
\(815\) | 10.9101 | − | 18.8969i | 0.382165 | − | 0.661929i | ||||
\(816\) | 38.8866 | 1.36130 | ||||||||
\(817\) | 21.0929 | − | 4.55875i | 0.737947 | − | 0.159490i | ||||
\(818\) | −2.43995 | −0.0853107 | ||||||||
\(819\) | −7.13857 | + | 12.3644i | −0.249442 | + | 0.432046i | ||||
\(820\) | 0.213300 | − | 0.369447i | 0.00744877 | − | 0.0129016i | ||||
\(821\) | 9.40110 | + | 16.2832i | 0.328101 | + | 0.568287i | 0.982135 | − | 0.188178i | \(-0.0602582\pi\) |
−0.654034 | + | 0.756465i | \(0.726925\pi\) | |||||||
\(822\) | 25.8765 | − | 44.8194i | 0.902546 | − | 1.56326i | ||||
\(823\) | −26.5984 | − | 46.0697i | −0.927161 | − | 1.60589i | −0.788049 | − | 0.615612i | \(-0.788909\pi\) |
−0.139111 | − | 0.990277i | \(-0.544425\pi\) | |||||||
\(824\) | 39.2718 | 1.36810 | ||||||||
\(825\) | 0.651591 | 0.0226855 | ||||||||
\(826\) | 4.49800 | + | 7.79076i | 0.156505 | + | 0.271075i | ||||
\(827\) | 12.5371 | + | 21.7149i | 0.435957 | + | 0.755101i | 0.997373 | − | 0.0724334i | \(-0.0230765\pi\) |
−0.561416 | + | 0.827534i | \(0.689743\pi\) | |||||||
\(828\) | 5.89843 | 0.204985 | ||||||||
\(829\) | −28.2740 | −0.981997 | −0.490999 | − | 0.871160i | \(-0.663368\pi\) | ||||
−0.490999 | + | 0.871160i | \(0.663368\pi\) | |||||||
\(830\) | 1.01760 | + | 1.76253i | 0.0353213 | + | 0.0611782i | ||||
\(831\) | 11.2399 | − | 19.4681i | 0.389908 | − | 0.675341i | ||||
\(832\) | 22.1737 | + | 38.4059i | 0.768733 | + | 1.33149i | ||||
\(833\) | −16.6761 | + | 28.8839i | −0.577793 | + | 1.00077i | ||||
\(834\) | 8.39608 | − | 14.5424i | 0.290732 | − | 0.503563i | ||||
\(835\) | −11.2851 | −0.390538 | ||||||||
\(836\) | −0.192688 | + | 0.599995i | −0.00666427 | + | 0.0207513i | ||||
\(837\) | 2.17265 | 0.0750977 | ||||||||
\(838\) | 13.9160 | − | 24.1033i | 0.480721 | − | 0.832633i | ||||
\(839\) | −7.33983 | + | 12.7130i | −0.253399 | + | 0.438900i | −0.964459 | − | 0.264231i | \(-0.914882\pi\) |
0.711060 | + | 0.703131i | \(0.248215\pi\) | |||||||
\(840\) | 4.49800 | + | 7.79076i | 0.155196 | + | 0.268807i | ||||
\(841\) | 13.6742 | − | 23.6844i | 0.471524 | − | 0.816704i | ||||
\(842\) | 8.45623 | + | 14.6466i | 0.291421 | + | 0.504756i | ||||
\(843\) | 12.2952 | 0.423468 | ||||||||
\(844\) | 8.69059 | 0.299142 | ||||||||
\(845\) | 6.00000 | + | 10.3923i | 0.206406 | + | 0.357506i | ||||
\(846\) | −7.77657 | − | 13.4694i | −0.267364 | − | 0.463088i | ||||
\(847\) | 14.0321 | 0.482148 | ||||||||
\(848\) | −33.7358 | −1.15849 | ||||||||
\(849\) | 5.67265 | + | 9.82531i | 0.194685 | + | 0.337204i | ||||
\(850\) | 3.80976 | − | 6.59869i | 0.130674 | − | 0.226333i | ||||
\(851\) | 28.4558 | + | 49.2869i | 0.975452 | + | 1.68953i | ||||
\(852\) | −1.69313 | + | 2.93259i | −0.0580058 | + | 0.100469i | ||||
\(853\) | 12.9523 | − | 22.4341i | 0.443479 | − | 0.768129i | −0.554466 | − | 0.832207i | \(-0.687077\pi\) |
0.997945 | + | 0.0640780i | \(0.0204106\pi\) | |||||||
\(854\) | −7.00000 | −0.239535 | ||||||||
\(855\) | −6.50502 | − | 7.17514i | −0.222467 | − | 0.245385i | ||||
\(856\) | −42.2921 | −1.44551 | ||||||||
\(857\) | 6.45277 | − | 11.1765i | 0.220423 | − | 0.381783i | −0.734514 | − | 0.678594i | \(-0.762590\pi\) |
0.954936 | + | 0.296811i | \(0.0959231\pi\) | |||||||
\(858\) | 1.99041 | − | 3.44749i | 0.0679515 | − | 0.117695i | ||||
\(859\) | 14.3589 | + | 24.8703i | 0.489919 | + | 0.848564i | 0.999933 | − | 0.0116018i | \(-0.00369304\pi\) |
−0.510014 | + | 0.860166i | \(0.670360\pi\) | |||||||
\(860\) | 1.25507 | − | 2.17384i | 0.0427974 | − | 0.0741273i | ||||
\(861\) | −1.23547 | − | 2.13990i | −0.0421047 | − | 0.0729275i | ||||
\(862\) | 4.20295 | 0.143153 | ||||||||
\(863\) | −3.04300 | −0.103585 | −0.0517925 | − | 0.998658i | \(-0.516493\pi\) | ||||
−0.0517925 | + | 0.998658i | \(0.516493\pi\) | |||||||
\(864\) | 2.48240 | + | 4.29965i | 0.0844531 | + | 0.146277i | ||||
\(865\) | −2.92771 | − | 5.07095i | −0.0995453 | − | 0.172417i | ||||
\(866\) | −11.2421 | −0.382024 | ||||||||
\(867\) | 50.0140 | 1.69857 | ||||||||
\(868\) | 0.398082 | + | 0.689498i | 0.0135118 | + | 0.0234031i | ||||
\(869\) | 2.20384 | − | 3.81716i | 0.0747600 | − | 0.129488i | ||||
\(870\) | 1.79416 | + | 3.10758i | 0.0608278 | + | 0.105357i | ||||
\(871\) | −2.46491 | + | 4.26934i | −0.0835202 | + | 0.144661i | ||||
\(872\) | −14.0969 | + | 24.4165i | −0.477381 | + | 0.826849i | ||||
\(873\) | 26.0913 | 0.883058 | ||||||||
\(874\) | −18.7305 | − | 20.6600i | −0.633567 | − | 0.698835i | ||||
\(875\) | 1.28514 | 0.0434457 | ||||||||
\(876\) | −0.442639 | + | 0.766673i | −0.0149554 | + | 0.0259035i | ||||
\(877\) | −5.68468 | + | 9.84616i | −0.191958 | + | 0.332481i | −0.945899 | − | 0.324461i | \(-0.894817\pi\) |
0.753941 | + | 0.656942i | \(0.228150\pi\) | |||||||
\(878\) | 22.9162 | + | 39.6921i | 0.773386 | + | 1.33954i | ||||
\(879\) | 4.34885 | − | 7.53243i | 0.146683 | − | 0.254063i | ||||
\(880\) | −0.389062 | − | 0.673875i | −0.0131153 | − | 0.0227163i | ||||
\(881\) | 36.4014 | 1.22640 | 0.613198 | − | 0.789929i | \(-0.289883\pi\) | ||||
0.613198 | + | 0.789929i | \(0.289883\pi\) | |||||||
\(882\) | −14.5202 | −0.488919 | ||||||||
\(883\) | 24.8839 | + | 43.1003i | 0.837411 | + | 1.45044i | 0.892052 | + | 0.451933i | \(0.149265\pi\) |
−0.0546404 | + | 0.998506i | \(0.517401\pi\) | |||||||
\(884\) | 7.90431 | + | 13.6907i | 0.265851 | + | 0.460467i | ||||
\(885\) | −13.0913 | −0.440061 | ||||||||
\(886\) | 17.9356 | 0.602560 | ||||||||
\(887\) | 7.84885 | + | 13.5946i | 0.263539 | + | 0.456462i | 0.967180 | − | 0.254093i | \(-0.0817770\pi\) |
−0.703641 | + | 0.710556i | \(0.748444\pi\) | |||||||
\(888\) | 38.0431 | − | 65.8926i | 1.27664 | − | 2.21121i | ||||
\(889\) | 5.99600 | + | 10.3854i | 0.201099 | + | 0.348314i | ||||
\(890\) | −9.79216 | + | 16.9605i | −0.328234 | + | 0.568518i | ||||
\(891\) | 1.52963 | − | 2.64940i | 0.0512446 | − | 0.0887582i | ||||
\(892\) | −0.772783 | −0.0258747 | ||||||||
\(893\) | 7.63555 | − | 23.7757i | 0.255514 | − | 0.795623i | ||||
\(894\) | −18.9648 | −0.634278 | ||||||||
\(895\) | −9.39608 | + | 16.2745i | −0.314076 | + | 0.543996i | ||||
\(896\) | 3.37547 | − | 5.84648i | 0.112766 | − | 0.195317i | ||||
\(897\) | −29.9120 | − | 51.8091i | −0.998733 | − | 1.72986i | ||||
\(898\) | 4.51515 | − | 7.82047i | 0.150673 | − | 0.260972i | ||||
\(899\) | 0.785142 | + | 1.35991i | 0.0261860 | + | 0.0453554i | ||||
\(900\) | −1.12653 | −0.0375511 | ||||||||
\(901\) | −77.0911 | −2.56828 | ||||||||
\(902\) | 0.146574 | + | 0.253873i | 0.00488038 | + | 0.00845306i | ||||
\(903\) | −7.26955 | − | 12.5912i | −0.241915 | − | 0.419010i | ||||
\(904\) | 53.0780 | 1.76535 | ||||||||
\(905\) | −13.3453 | −0.443613 | ||||||||
\(906\) | 22.1802 | + | 38.4173i | 0.736889 | + | 1.27633i | ||||
\(907\) | 16.4578 | − | 28.5057i | 0.546472 | − | 0.946517i | −0.452041 | − | 0.891997i | \(-0.649304\pi\) |
0.998513 | − | 0.0545199i | \(-0.0173628\pi\) | |||||||
\(908\) | 1.01404 | + | 1.75636i | 0.0336520 | + | 0.0582870i | ||||
\(909\) | 8.79718 | − | 15.2372i | 0.291784 | − | 0.505385i | ||||
\(910\) | 3.92571 | − | 6.79953i | 0.130136 | − | 0.225402i | ||||
\(911\) | −18.7109 | −0.619918 | −0.309959 | − | 0.950750i | \(-0.600315\pi\) | ||||
−0.309959 | + | 0.950750i | \(0.600315\pi\) | |||||||
\(912\) | −8.31131 | + | 25.8799i | −0.275215 | + | 0.856968i | ||||
\(913\) | 0.474941 | 0.0157183 | ||||||||
\(914\) | −1.40520 | + | 2.43388i | −0.0464799 | + | 0.0805055i | ||||
\(915\) | 5.09334 | − | 8.82193i | 0.168381 | − | 0.291644i | ||||
\(916\) | 4.67465 | + | 8.09673i | 0.154455 | + | 0.267523i | ||||
\(917\) | 7.98441 | − | 13.8294i | 0.263668 | − | 0.456687i | ||||
\(918\) | −6.77422 | − | 11.7333i | −0.223583 | − | 0.387256i | ||||
\(919\) | −50.9506 | −1.68070 | −0.840352 | − | 0.542041i | \(-0.817652\pi\) | ||||
−0.840352 | + | 0.542041i | \(0.817652\pi\) | |||||||
\(920\) | −16.0390 | −0.528790 | ||||||||
\(921\) | −0.656164 | − | 1.13651i | −0.0216214 | − | 0.0374493i | ||||
\(922\) | −12.0703 | − | 20.9063i | −0.397514 | − | 0.688514i | ||||
\(923\) | 14.6135 | 0.481009 | ||||||||
\(924\) | 0.424571 | 0.0139674 | ||||||||
\(925\) | −5.43473 | − | 9.41323i | −0.178693 | − | 0.309505i | ||||
\(926\) | −17.6847 | + | 30.6308i | −0.581155 | + | 1.00659i | ||||
\(927\) | 14.2425 | + | 24.6687i | 0.467785 | + | 0.810227i | ||||
\(928\) | −1.79416 | + | 3.10758i | −0.0588963 | + | 0.102011i | ||||
\(929\) | −5.74249 | + | 9.94628i | −0.188405 | + | 0.326327i | −0.944719 | − | 0.327882i | \(-0.893665\pi\) |
0.756314 | + | 0.654209i | \(0.226998\pi\) | |||||||
\(930\) | 3.41168 | 0.111873 | ||||||||
\(931\) | −15.6586 | − | 17.2717i | −0.513190 | − | 0.566057i | ||||
\(932\) | −6.44509 | −0.211116 | ||||||||
\(933\) | 9.84485 | − | 17.0518i | 0.322306 | − | 0.558250i | ||||
\(934\) | 2.02662 | − | 3.51020i | 0.0663129 | − | 0.114857i | ||||
\(935\) | −0.889062 | − | 1.53990i | −0.0290754 | − | 0.0503601i | ||||
\(936\) | −17.0155 | + | 29.4717i | −0.556169 | + | 0.963313i | ||||
\(937\) | −8.08477 | − | 14.0032i | −0.264118 | − | 0.457465i | 0.703214 | − | 0.710978i | \(-0.251747\pi\) |
−0.967332 | + | 0.253512i | \(0.918414\pi\) | |||||||
\(938\) | 1.54824 | 0.0505519 | ||||||||
\(939\) | −77.9769 | −2.54468 | ||||||||
\(940\) | −1.45233 | − | 2.51551i | −0.0473697 | − | 0.0820468i | ||||
\(941\) | 12.6937 | + | 21.9861i | 0.413803 | + | 0.716728i | 0.995302 | − | 0.0968194i | \(-0.0308669\pi\) |
−0.581499 | + | 0.813547i | \(0.697534\pi\) | |||||||
\(942\) | 20.9608 | 0.682940 | ||||||||
\(943\) | 4.40545 | 0.143461 | ||||||||
\(944\) | 7.81678 | + | 13.5391i | 0.254414 | + | 0.440659i | ||||
\(945\) | 1.14257 | − | 1.97899i | 0.0371678 | − | 0.0643766i | ||||
\(946\) | 0.862446 | + | 1.49380i | 0.0280405 | + | 0.0485676i | ||||
\(947\) | −11.6902 | + | 20.2481i | −0.379882 | + | 0.657975i | −0.991045 | − | 0.133530i | \(-0.957369\pi\) |
0.611163 | + | 0.791505i | \(0.290702\pi\) | |||||||
\(948\) | −8.95477 | + | 15.5101i | −0.290838 | + | 0.503745i | ||||
\(949\) | 3.82043 | 0.124016 | ||||||||
\(950\) | 3.57730 | + | 3.94583i | 0.116063 | + | 0.128020i | ||||
\(951\) | −25.3132 | −0.820837 | ||||||||
\(952\) | 12.2746 | − | 21.2602i | 0.397821 | − | 0.689046i | ||||
\(953\) | 11.0893 | − | 19.2073i | 0.359219 | − | 0.622185i | −0.628612 | − | 0.777719i | \(-0.716376\pi\) |
0.987831 | + | 0.155534i | \(0.0497098\pi\) | |||||||
\(954\) | −16.7811 | − | 29.0658i | −0.543309 | − | 0.941040i | ||||
\(955\) | −0.334372 | + | 0.579148i | −0.0108200 | + | 0.0187408i | ||||
\(956\) | −2.74659 | − | 4.75723i | −0.0888310 | − | 0.153860i | ||||
\(957\) | 0.837388 | 0.0270689 | ||||||||
\(958\) | −48.2727 | −1.55962 | ||||||||
\(959\) | −11.9101 | − | 20.6289i | −0.384598 | − | 0.666143i | ||||
\(960\) | 10.1340 | + | 17.5526i | 0.327073 | + | 0.566508i | ||||
\(961\) | −29.5070 | −0.951839 | ||||||||
\(962\) | −66.4057 | −2.14101 | ||||||||
\(963\) | −15.3378 | − | 26.5659i | −0.494255 | − | 0.856074i | ||||
\(964\) | −2.50302 | + | 4.33535i | −0.0806167 | + | 0.139632i | ||||
\(965\) | −1.88204 | − | 3.25979i | −0.0605851 | − | 0.104937i | ||||
\(966\) | −9.39408 | + | 16.2710i | −0.302250 | + | 0.523512i | ||||
\(967\) | 20.4297 | − | 35.3853i | 0.656975 | − | 1.13791i | −0.324419 | − | 0.945913i | \(-0.605169\pi\) |
0.981395 | − | 0.192001i | \(-0.0614978\pi\) | |||||||
\(968\) | 33.4469 | 1.07502 | ||||||||
\(969\) | −18.9925 | + | 59.1392i | −0.610128 | + | 1.89982i | ||||
\(970\) | −14.3484 | −0.460700 | ||||||||
\(971\) | −12.3238 | + | 21.3454i | −0.395489 | + | 0.685008i | −0.993164 | − | 0.116731i | \(-0.962758\pi\) |
0.597674 | + | 0.801739i | \(0.296092\pi\) | |||||||
\(972\) | −4.86299 | + | 8.42294i | −0.155980 | + | 0.270166i | ||||
\(973\) | −3.86445 | − | 6.69342i | −0.123888 | − | 0.214581i | ||||
\(974\) | 15.1379 | − | 26.2196i | 0.485050 | − | 0.840131i | ||||
\(975\) | 5.71286 | + | 9.89496i | 0.182958 | + | 0.316892i | ||||
\(976\) | −12.1648 | −0.389387 | ||||||||
\(977\) | −13.7077 | −0.438549 | −0.219275 | − | 0.975663i | \(-0.570369\pi\) | ||||
−0.219275 | + | 0.975663i | \(0.570369\pi\) | |||||||
\(978\) | −30.4628 | − | 52.7631i | −0.974093 | − | 1.68718i | ||||
\(979\) | 2.28514 | + | 3.95798i | 0.0730335 | + | 0.126498i | ||||
\(980\) | −2.71174 | −0.0866235 | ||||||||
\(981\) | −20.4498 | −0.652911 | ||||||||
\(982\) | 8.32313 | + | 14.4161i | 0.265602 | + | 0.460035i | ||||
\(983\) | −0.141014 | + | 0.244243i | −0.00449765 | + | 0.00779015i | −0.868265 | − | 0.496100i | \(-0.834765\pi\) |
0.863768 | + | 0.503890i | \(0.168098\pi\) | |||||||
\(984\) | −2.94487 | − | 5.10066i | −0.0938789 | − | 0.162603i | ||||
\(985\) | 7.30820 | − | 12.6582i | 0.232859 | − | 0.403323i | ||||
\(986\) | 4.89608 | − | 8.48026i | 0.155923 | − | 0.270067i | ||||
\(987\) | −16.8242 | −0.535521 | ||||||||
\(988\) | −10.8008 | + | 2.33435i | −0.343620 | + | 0.0742657i | ||||
\(989\) | 25.9218 | 0.824266 | ||||||||
\(990\) | 0.387061 | − | 0.670409i | 0.0123016 | − | 0.0213070i | ||||
\(991\) | −12.2992 | + | 21.3028i | −0.390696 | + | 0.676706i | −0.992542 | − | 0.121907i | \(-0.961099\pi\) |
0.601845 | + | 0.798613i | \(0.294432\pi\) | |||||||
\(992\) | 1.70584 | + | 2.95460i | 0.0541604 | + | 0.0938086i | ||||
\(993\) | −7.32580 | + | 12.6887i | −0.232477 | + | 0.402662i | ||||
\(994\) | −2.29473 | − | 3.97459i | −0.0727845 | − | 0.126066i | ||||
\(995\) | −11.5211 | −0.365242 | ||||||||
\(996\) | −1.92981 | −0.0611485 | ||||||||
\(997\) | 11.5913 | + | 20.0768i | 0.367101 | + | 0.635838i | 0.989111 | − | 0.147171i | \(-0.0470169\pi\) |
−0.622010 | + | 0.783010i | \(0.713684\pi\) | |||||||
\(998\) | −5.00346 | − | 8.66625i | −0.158382 | − | 0.274325i | ||||
\(999\) | −19.3273 | −0.611487 |
(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 | 95.2.e.b.11.2 | ✓ | 6 | |
3.2 | odd | 2 | 855.2.k.g.676.2 | 6 | |||
4.3 | odd | 2 | 1520.2.q.j.961.3 | 6 | |||
5.2 | odd | 4 | 475.2.j.b.49.3 | 12 | |||
5.3 | odd | 4 | 475.2.j.b.49.4 | 12 | |||
5.4 | even | 2 | 475.2.e.d.201.2 | 6 | |||
19.7 | even | 3 | inner | 95.2.e.b.26.2 | yes | 6 | |
19.8 | odd | 6 | 1805.2.a.g.1.2 | 3 | |||
19.11 | even | 3 | 1805.2.a.h.1.2 | 3 | |||
57.26 | odd | 6 | 855.2.k.g.406.2 | 6 | |||
76.7 | odd | 6 | 1520.2.q.j.881.3 | 6 | |||
95.7 | odd | 12 | 475.2.j.b.349.4 | 12 | |||
95.49 | even | 6 | 9025.2.a.z.1.2 | 3 | |||
95.64 | even | 6 | 475.2.e.d.26.2 | 6 | |||
95.83 | odd | 12 | 475.2.j.b.349.3 | 12 | |||
95.84 | odd | 6 | 9025.2.a.ba.1.2 | 3 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.e.b.11.2 | ✓ | 6 | 1.1 | even | 1 | trivial | |
95.2.e.b.26.2 | yes | 6 | 19.7 | even | 3 | inner | |
475.2.e.d.26.2 | 6 | 95.64 | even | 6 | |||
475.2.e.d.201.2 | 6 | 5.4 | even | 2 | |||
475.2.j.b.49.3 | 12 | 5.2 | odd | 4 | |||
475.2.j.b.49.4 | 12 | 5.3 | odd | 4 | |||
475.2.j.b.349.3 | 12 | 95.83 | odd | 12 | |||
475.2.j.b.349.4 | 12 | 95.7 | odd | 12 | |||
855.2.k.g.406.2 | 6 | 57.26 | odd | 6 | |||
855.2.k.g.676.2 | 6 | 3.2 | odd | 2 | |||
1520.2.q.j.881.3 | 6 | 76.7 | odd | 6 | |||
1520.2.q.j.961.3 | 6 | 4.3 | odd | 2 | |||
1805.2.a.g.1.2 | 3 | 19.8 | odd | 6 | |||
1805.2.a.h.1.2 | 3 | 19.11 | even | 3 | |||
9025.2.a.z.1.2 | 3 | 95.49 | even | 6 | |||
9025.2.a.ba.1.2 | 3 | 95.84 | odd | 6 |