Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [980,2,Mod(979,980)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(980, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("980.979");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 980 = 2^{2} \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 980.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.82533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 979.12 | ||
Character | \(\chi\) | \(=\) | 980.979 |
Dual form | 980.2.c.e.979.9 |
$q$-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 \(\left(\mathbb{Z}/980\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) | \(491\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23364 | + | 0.691471i | −0.872315 | + | 0.488944i | ||||
\(3\) | 2.08008i | 1.20094i | 0.799649 | + | 0.600468i | \(0.205019\pi\) | ||||
−0.799649 | + | 0.600468i | \(0.794981\pi\) | |||||||
\(4\) | 1.04374 | − | 1.70605i | 0.521868 | − | 0.853026i | ||||
\(5\) | 1.52262 | − | 1.63757i | 0.680934 | − | 0.732344i | ||||
\(6\) | −1.43832 | − | 2.56607i | −0.587190 | − | 1.04759i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −0.107908 | + | 2.82637i | −0.0381511 | + | 0.999272i | ||||
\(9\) | −1.32674 | −0.442248 | ||||||||
\(10\) | −0.746026 | + | 3.07302i | −0.235914 | + | 0.971774i | ||||
\(11\) | 0.775046i | 0.233685i | 0.993150 | + | 0.116843i | \(0.0372773\pi\) | ||||
−0.993150 | + | 0.116843i | \(0.962723\pi\) | |||||||
\(12\) | 3.54873 | + | 2.17106i | 1.02443 | + | 0.626730i | ||||
\(13\) | 4.18932 | 1.16191 | 0.580955 | − | 0.813936i | \(-0.302679\pi\) | ||||
0.580955 | + | 0.813936i | \(0.302679\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.40628 | + | 3.16717i | 0.879499 | + | 0.817759i | ||||
\(16\) | −1.82123 | − | 3.56134i | −0.455308 | − | 0.890334i | ||||
\(17\) | −4.18028 | −1.01387 | −0.506934 | − | 0.861985i | \(-0.669221\pi\) | ||||
−0.506934 | + | 0.861985i | \(0.669221\pi\) | |||||||
\(18\) | 1.63672 | − | 0.917404i | 0.385779 | − | 0.216234i | ||||
\(19\) | −4.88478 | −1.12064 | −0.560322 | − | 0.828275i | \(-0.689323\pi\) | ||||
−0.560322 | + | 0.828275i | \(0.689323\pi\) | |||||||
\(20\) | −1.20458 | − | 4.30685i | −0.269351 | − | 0.963042i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.535922 | − | 0.956127i | −0.114259 | − | 0.203847i | ||||
\(23\) | 1.89723 | 0.395601 | 0.197800 | − | 0.980242i | \(-0.436620\pi\) | ||||
0.197800 | + | 0.980242i | \(0.436620\pi\) | |||||||
\(24\) | −5.87908 | − | 0.224457i | −1.20006 | − | 0.0458170i | ||||
\(25\) | −0.363284 | − | 4.98679i | −0.0726567 | − | 0.997357i | ||||
\(26\) | −5.16812 | + | 2.89680i | −1.01355 | + | 0.568108i | ||||
\(27\) | 3.48051i | 0.669825i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 9.98465 | 1.85410 | 0.927052 | − | 0.374933i | \(-0.122334\pi\) | ||||
0.927052 | + | 0.374933i | \(0.122334\pi\) | |||||||
\(30\) | −6.39213 | − | 1.55180i | −1.16704 | − | 0.283318i | ||||
\(31\) | 10.3484 | 1.85862 | 0.929310 | − | 0.369300i | \(-0.120403\pi\) | ||||
0.929310 | + | 0.369300i | \(0.120403\pi\) | |||||||
\(32\) | 4.70931 | + | 3.13408i | 0.832496 | + | 0.554032i | ||||
\(33\) | −1.61216 | −0.280641 | ||||||||
\(34\) | 5.15697 | − | 2.89055i | 0.884413 | − | 0.495725i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.38477 | + | 2.26349i | −0.230795 | + | 0.377249i | ||||
\(37\) | 3.41776i | 0.561877i | 0.959726 | + | 0.280938i | \(0.0906456\pi\) | ||||
−0.959726 | + | 0.280938i | \(0.909354\pi\) | |||||||
\(38\) | 6.02606 | − | 3.37768i | 0.977555 | − | 0.547932i | ||||
\(39\) | 8.71414i | 1.39538i | ||||||||
\(40\) | 4.46408 | + | 4.48018i | 0.705833 | + | 0.708378i | ||||
\(41\) | 3.02483i | 0.472399i | 0.971705 | + | 0.236199i | \(0.0759019\pi\) | ||||
−0.971705 | + | 0.236199i | \(0.924098\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 9.19046 | 1.40153 | 0.700766 | − | 0.713392i | \(-0.252842\pi\) | ||||
0.700766 | + | 0.713392i | \(0.252842\pi\) | |||||||
\(44\) | 1.32227 | + | 0.808943i | 0.199340 | + | 0.121953i | ||||
\(45\) | −2.02012 | + | 2.17264i | −0.301142 | + | 0.323878i | ||||
\(46\) | −2.34050 | + | 1.31188i | −0.345089 | + | 0.193427i | ||||
\(47\) | 8.27241i | 1.20665i | 0.797494 | + | 0.603327i | \(0.206159\pi\) | ||||
−0.797494 | + | 0.603327i | \(0.793841\pi\) | |||||||
\(48\) | 7.40787 | − | 3.78831i | 1.06923 | − | 0.546796i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 3.89638 | + | 5.90070i | 0.551031 | + | 0.834485i | ||||
\(51\) | − | 8.69534i | − | 1.21759i | ||||||
\(52\) | 4.37255 | − | 7.14721i | 0.606363 | − | 0.991139i | ||||
\(53\) | − | 2.59095i | − | 0.355895i | −0.984040 | − | 0.177947i | \(-0.943054\pi\) | ||
0.984040 | − | 0.177947i | \(-0.0569457\pi\) | |||||||
\(54\) | −2.40667 | − | 4.29370i | −0.327507 | − | 0.584299i | ||||
\(55\) | 1.26919 | + | 1.18010i | 0.171138 | + | 0.159124i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | − | 10.1607i | − | 1.34582i | ||||||
\(58\) | −12.3175 | + | 6.90410i | −1.61736 | + | 0.906553i | ||||
\(59\) | −4.60753 | −0.599849 | −0.299925 | − | 0.953963i | \(-0.596962\pi\) | ||||
−0.299925 | + | 0.953963i | \(0.596962\pi\) | |||||||
\(60\) | 8.95861 | − | 2.50562i | 1.15655 | − | 0.323474i | ||||
\(61\) | 3.26207i | 0.417666i | 0.977951 | + | 0.208833i | \(0.0669664\pi\) | ||||
−0.977951 | + | 0.208833i | \(0.933034\pi\) | |||||||
\(62\) | −12.7662 | + | 7.15559i | −1.62130 | + | 0.908761i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.97671 | − | 0.609973i | −0.997089 | − | 0.0762466i | ||||
\(65\) | 6.37873 | − | 6.86032i | 0.791184 | − | 0.850918i | ||||
\(66\) | 1.98882 | − | 1.11476i | 0.244807 | − | 0.137218i | ||||
\(67\) | −2.27069 | −0.277409 | −0.138705 | − | 0.990334i | \(-0.544294\pi\) | ||||
−0.138705 | + | 0.990334i | \(0.544294\pi\) | |||||||
\(68\) | −4.36311 | + | 7.13179i | −0.529105 | + | 0.864856i | ||||
\(69\) | 3.94640i | 0.475091i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 4.41264i | − | 0.523684i | −0.965111 | − | 0.261842i | \(-0.915670\pi\) | ||
0.965111 | − | 0.261842i | \(-0.0843300\pi\) | |||||||
\(72\) | 0.143166 | − | 3.74986i | 0.0168722 | − | 0.441926i | ||||
\(73\) | 2.74922 | 0.321772 | 0.160886 | − | 0.986973i | \(-0.448565\pi\) | ||||
0.160886 | + | 0.986973i | \(0.448565\pi\) | |||||||
\(74\) | −2.36328 | − | 4.21629i | −0.274726 | − | 0.490134i | ||||
\(75\) | 10.3729 | − | 0.755660i | 1.19776 | − | 0.0872561i | ||||
\(76\) | −5.09842 | + | 8.33369i | −0.584828 | + | 0.955940i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −6.02557 | − | 10.7501i | −0.682262 | − | 1.21721i | ||||
\(79\) | − | 14.2136i | − | 1.59915i | −0.600565 | − | 0.799576i | \(-0.705057\pi\) | ||
0.600565 | − | 0.799576i | \(-0.294943\pi\) | |||||||
\(80\) | −8.60498 | − | 2.44015i | −0.962066 | − | 0.272817i | ||||
\(81\) | −11.2200 | −1.24666 | ||||||||
\(82\) | −2.09158 | − | 3.73155i | −0.230977 | − | 0.412081i | ||||
\(83\) | 2.36160i | 0.259220i | 0.991565 | + | 0.129610i | \(0.0413725\pi\) | ||||
−0.991565 | + | 0.129610i | \(0.958628\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.36497 | + | 6.84552i | −0.690378 | + | 0.742501i | ||||
\(86\) | −11.3377 | + | 6.35493i | −1.22258 | + | 0.685270i | ||||
\(87\) | 20.7689i | 2.22666i | ||||||||
\(88\) | −2.19056 | − | 0.0836333i | −0.233515 | − | 0.00891534i | ||||
\(89\) | 14.3543i | 1.52155i | 0.649016 | + | 0.760775i | \(0.275181\pi\) | ||||
−0.649016 | + | 0.760775i | \(0.724819\pi\) | |||||||
\(90\) | 0.989784 | − | 4.07711i | 0.104332 | − | 0.429765i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 1.98021 | − | 3.23678i | 0.206451 | − | 0.337458i | ||||
\(93\) | 21.5254i | 2.23208i | ||||||||
\(94\) | −5.72013 | − | 10.2052i | −0.589986 | − | 1.05258i | ||||
\(95\) | −7.43764 | + | 7.99917i | −0.763086 | + | 0.820698i | ||||
\(96\) | −6.51914 | + | 9.79574i | −0.665357 | + | 0.999774i | ||||
\(97\) | −14.4115 | −1.46327 | −0.731633 | − | 0.681699i | \(-0.761241\pi\) | ||||
−0.731633 | + | 0.681699i | \(0.761241\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 1.02829i | − | 0.103347i | ||||||
\(100\) | −8.88689 | − | 4.58510i | −0.888689 | − | 0.458510i | ||||
\(101\) | − | 1.69179i | − | 0.168339i | −0.996451 | − | 0.0841696i | \(-0.973176\pi\) | ||
0.996451 | − | 0.0841696i | \(-0.0268237\pi\) | |||||||
\(102\) | 6.01257 | + | 10.7269i | 0.595334 | + | 1.06212i | ||||
\(103\) | 0.553547i | 0.0545426i | 0.999628 | + | 0.0272713i | \(0.00868180\pi\) | ||||
−0.999628 | + | 0.0272713i | \(0.991318\pi\) | |||||||
\(104\) | −0.452060 | + | 11.8406i | −0.0443281 | + | 1.16106i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.79157 | + | 3.19630i | 0.174013 | + | 0.310452i | ||||
\(107\) | 8.09142 | 0.782227 | 0.391114 | − | 0.920342i | \(-0.372090\pi\) | ||||
0.391114 | + | 0.920342i | \(0.372090\pi\) | |||||||
\(108\) | 5.93794 | + | 3.63273i | 0.571378 | + | 0.349560i | ||||
\(109\) | 13.8026 | 1.32205 | 0.661026 | − | 0.750363i | \(-0.270121\pi\) | ||||
0.661026 | + | 0.750363i | \(0.270121\pi\) | |||||||
\(110\) | −2.38173 | − | 0.578204i | −0.227089 | − | 0.0551296i | ||||
\(111\) | −7.10923 | −0.674778 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 13.0010i | 1.22303i | 0.791232 | + | 0.611516i | \(0.209440\pi\) | ||||
−0.791232 | + | 0.611516i | \(0.790560\pi\) | |||||||
\(114\) | 7.02586 | + | 12.5347i | 0.658032 | + | 1.17398i | ||||
\(115\) | 2.88876 | − | 3.10686i | 0.269378 | − | 0.289716i | ||||
\(116\) | 10.4213 | − | 17.0343i | 0.967597 | − | 1.58160i | ||||
\(117\) | −5.55815 | −0.513852 | ||||||||
\(118\) | 5.68403 | − | 3.18597i | 0.523258 | − | 0.293293i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −9.31914 | + | 9.28565i | −0.850717 | + | 0.847660i | ||||
\(121\) | 10.3993 | 0.945391 | ||||||||
\(122\) | −2.25563 | − | 4.02422i | −0.204215 | − | 0.364336i | ||||
\(123\) | −6.29189 | −0.567321 | ||||||||
\(124\) | 10.8009 | − | 17.6548i | 0.969954 | − | 1.58545i | ||||
\(125\) | −8.71936 | − | 6.99805i | −0.779883 | − | 0.625925i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −15.3261 | −1.35997 | −0.679987 | − | 0.733224i | \(-0.738015\pi\) | ||||
−0.679987 | + | 0.733224i | \(0.738015\pi\) | |||||||
\(128\) | 10.2622 | − | 4.76318i | 0.907056 | − | 0.421010i | ||||
\(129\) | 19.1169i | 1.68315i | ||||||||
\(130\) | −3.12534 | + | 12.8739i | −0.274111 | + | 1.12911i | ||||
\(131\) | −13.9878 | −1.22212 | −0.611058 | − | 0.791586i | \(-0.709256\pi\) | ||||
−0.611058 | + | 0.791586i | \(0.709256\pi\) | |||||||
\(132\) | −1.68267 | + | 2.75043i | −0.146457 | + | 0.239394i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 2.80122 | − | 1.57012i | 0.241988 | − | 0.135637i | ||||
\(135\) | 5.69959 | + | 5.29948i | 0.490543 | + | 0.456107i | ||||
\(136\) | 0.451084 | − | 11.8150i | 0.0386802 | − | 1.01313i | ||||
\(137\) | 3.49309i | 0.298435i | 0.988804 | + | 0.149217i | \(0.0476754\pi\) | ||||
−0.988804 | + | 0.149217i | \(0.952325\pi\) | |||||||
\(138\) | −2.72882 | − | 4.86844i | −0.232293 | − | 0.414429i | ||||
\(139\) | 13.1731 | 1.11733 | 0.558664 | − | 0.829394i | \(-0.311314\pi\) | ||||
0.558664 | + | 0.829394i | \(0.311314\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −17.2073 | −1.44911 | ||||||||
\(142\) | 3.05121 | + | 5.44361i | 0.256052 | + | 0.456818i | ||||
\(143\) | 3.24692i | 0.271521i | ||||||||
\(144\) | 2.41631 | + | 4.72498i | 0.201359 | + | 0.393748i | ||||
\(145\) | 15.2028 | − | 16.3506i | 1.26252 | − | 1.35784i | ||||
\(146\) | −3.39155 | + | 1.90101i | −0.280687 | + | 0.157329i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.83088 | + | 3.56724i | 0.479296 | + | 0.293225i | ||||
\(149\) | −10.0480 | −0.823162 | −0.411581 | − | 0.911373i | \(-0.635023\pi\) | ||||
−0.411581 | + | 0.911373i | \(0.635023\pi\) | |||||||
\(150\) | −12.2739 | + | 8.10479i | −1.00216 | + | 0.661753i | ||||
\(151\) | − | 19.8927i | − | 1.61885i | −0.587226 | − | 0.809423i | \(-0.699780\pi\) | ||
0.587226 | − | 0.809423i | \(-0.300220\pi\) | |||||||
\(152\) | 0.527104 | − | 13.8062i | 0.0427538 | − | 1.11983i | ||||
\(153\) | 5.54616 | 0.448381 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 15.7566 | − | 16.9462i | 1.26560 | − | 1.36115i | ||||
\(156\) | 14.8668 | + | 9.09525i | 1.19029 | + | 0.728203i | ||||
\(157\) | −13.8342 | −1.10409 | −0.552046 | − | 0.833814i | \(-0.686153\pi\) | ||||
−0.552046 | + | 0.833814i | \(0.686153\pi\) | |||||||
\(158\) | 9.82828 | + | 17.5344i | 0.781896 | + | 1.39497i | ||||
\(159\) | 5.38939 | 0.427407 | ||||||||
\(160\) | 12.3027 | − | 2.93983i | 0.972617 | − | 0.232414i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 13.8414 | − | 7.75829i | 1.08748 | − | 0.609549i | ||||
\(163\) | 8.06959 | 0.632059 | 0.316030 | − | 0.948749i | \(-0.397650\pi\) | ||||
0.316030 | + | 0.948749i | \(0.397650\pi\) | |||||||
\(164\) | 5.16052 | + | 3.15712i | 0.402969 | + | 0.246530i | ||||
\(165\) | −2.45470 | + | 2.64003i | −0.191098 | + | 0.205526i | ||||
\(166\) | −1.63298 | − | 2.91337i | −0.126744 | − | 0.226121i | ||||
\(167\) | − | 18.9334i | − | 1.46511i | −0.680707 | − | 0.732555i | \(-0.738327\pi\) | ||
0.680707 | − | 0.732555i | \(-0.261673\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.55043 | 0.350033 | ||||||||
\(170\) | 3.11860 | − | 12.8461i | 0.239186 | − | 0.985250i | ||||
\(171\) | 6.48084 | 0.495602 | ||||||||
\(172\) | 9.59240 | − | 15.6794i | 0.731414 | − | 1.19554i | ||||
\(173\) | −8.81376 | −0.670098 | −0.335049 | − | 0.942201i | \(-0.608753\pi\) | ||||
−0.335049 | + | 0.942201i | \(0.608753\pi\) | |||||||
\(174\) | −14.3611 | − | 25.6213i | −1.08871 | − | 1.94235i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.76020 | − | 1.41154i | 0.208058 | − | 0.106399i | ||||
\(177\) | − | 9.58404i | − | 0.720381i | ||||||
\(178\) | −9.92557 | − | 17.7080i | −0.743953 | − | 1.32727i | ||||
\(179\) | 5.78641i | 0.432496i | 0.976338 | + | 0.216248i | \(0.0693820\pi\) | ||||
−0.976338 | + | 0.216248i | \(0.930618\pi\) | |||||||
\(180\) | 1.59816 | + | 5.71409i | 0.119120 | + | 0.425903i | ||||
\(181\) | − | 1.23162i | − | 0.0915458i | −0.998952 | − | 0.0457729i | \(-0.985425\pi\) | ||
0.998952 | − | 0.0457729i | \(-0.0145751\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −6.78538 | −0.501590 | ||||||||
\(184\) | −0.204726 | + | 5.36228i | −0.0150926 | + | 0.395313i | ||||
\(185\) | 5.59683 | + | 5.20394i | 0.411487 | + | 0.382601i | ||||
\(186\) | −14.8842 | − | 26.5546i | −1.09136 | − | 1.94708i | ||||
\(187\) | − | 3.23991i | − | 0.236926i | ||||||
\(188\) | 14.1132 | + | 8.63420i | 1.02931 | + | 0.629714i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.64417 | − | 15.0110i | 0.264376 | − | 1.08901i | ||||
\(191\) | 17.4435i | 1.26217i | 0.775713 | + | 0.631085i | \(0.217390\pi\) | ||||
−0.775713 | + | 0.631085i | \(0.782610\pi\) | |||||||
\(192\) | 1.26879 | − | 16.5922i | 0.0915673 | − | 1.19744i | ||||
\(193\) | 9.52923i | 0.685929i | 0.939348 | + | 0.342964i | \(0.111431\pi\) | ||||
−0.939348 | + | 0.342964i | \(0.888569\pi\) | |||||||
\(194\) | 17.7786 | − | 9.96513i | 1.27643 | − | 0.715455i | ||||
\(195\) | 14.2700 | + | 13.2683i | 1.02190 | + | 0.950161i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.88709i | 0.419438i | 0.977762 | + | 0.209719i | \(0.0672548\pi\) | ||||
−0.977762 | + | 0.209719i | \(0.932745\pi\) | |||||||
\(198\) | 0.711030 | + | 1.26853i | 0.0505307 | + | 0.0901508i | ||||
\(199\) | 13.9826 | 0.991201 | 0.495600 | − | 0.868551i | \(-0.334948\pi\) | ||||
0.495600 | + | 0.868551i | \(0.334948\pi\) | |||||||
\(200\) | 14.1337 | − | 0.488662i | 0.999403 | − | 0.0345536i | ||||
\(201\) | − | 4.72322i | − | 0.333151i | ||||||
\(202\) | 1.16982 | + | 2.08706i | 0.0823084 | + | 0.146845i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −14.8347 | − | 9.07563i | −1.03864 | − | 0.635421i | ||||
\(205\) | 4.95338 | + | 4.60565i | 0.345959 | + | 0.321673i | ||||
\(206\) | −0.382762 | − | 0.682878i | −0.0266683 | − | 0.0475784i | ||||
\(207\) | −2.51714 | −0.174953 | ||||||||
\(208\) | −7.62973 | − | 14.9196i | −0.529027 | − | 1.03449i | ||||
\(209\) | − | 3.78592i | − | 0.261878i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 20.4896i | − | 1.41056i | −0.708927 | − | 0.705282i | \(-0.750820\pi\) | ||
0.708927 | − | 0.705282i | \(-0.249180\pi\) | |||||||
\(212\) | −4.42030 | − | 2.70427i | −0.303588 | − | 0.185730i | ||||
\(213\) | 9.17866 | 0.628911 | ||||||||
\(214\) | −9.98190 | + | 5.59499i | −0.682349 | + | 0.382465i | ||||
\(215\) | 13.9935 | − | 15.0500i | 0.954351 | − | 1.02640i | ||||
\(216\) | −9.83721 | − | 0.375574i | −0.669337 | − | 0.0255546i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −17.0275 | + | 9.54412i | −1.15325 | + | 0.646410i | ||||
\(219\) | 5.71861i | 0.386428i | ||||||||
\(220\) | 3.33801 | − | 0.933602i | 0.225048 | − | 0.0629434i | ||||
\(221\) | −17.5126 | −1.17802 | ||||||||
\(222\) | 8.77023 | − | 4.91582i | 0.588619 | − | 0.329929i | ||||
\(223\) | 4.98483i | 0.333809i | 0.985973 | + | 0.166904i | \(0.0533771\pi\) | ||||
−0.985973 | + | 0.166904i | \(0.946623\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.481984 | + | 6.61618i | 0.0321323 | + | 0.441079i | ||||
\(226\) | −8.98983 | − | 16.0386i | −0.597994 | − | 1.06687i | ||||
\(227\) | 4.16916i | 0.276717i | 0.990382 | + | 0.138358i | \(0.0441826\pi\) | ||||
−0.990382 | + | 0.138358i | \(0.955817\pi\) | |||||||
\(228\) | −17.3348 | − | 10.6051i | −1.14802 | − | 0.702341i | ||||
\(229\) | 1.01300i | 0.0669407i | 0.999440 | + | 0.0334703i | \(0.0106559\pi\) | ||||
−0.999440 | + | 0.0334703i | \(0.989344\pi\) | |||||||
\(230\) | −1.41539 | + | 5.83024i | −0.0933278 | + | 0.384435i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.07742 | + | 28.2203i | −0.0707361 | + | 1.85275i | ||||
\(233\) | − | 19.7247i | − | 1.29221i | −0.763250 | − | 0.646104i | \(-0.776397\pi\) | ||
0.763250 | − | 0.646104i | \(-0.223603\pi\) | |||||||
\(234\) | 6.85676 | − | 3.84330i | 0.448241 | − | 0.251245i | ||||
\(235\) | 13.5467 | + | 12.5957i | 0.883687 | + | 0.821652i | ||||
\(236\) | −4.80904 | + | 7.86069i | −0.313042 | + | 0.511687i | ||||
\(237\) | 29.5654 | 1.92048 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 21.5726i | 1.39541i | 0.716383 | + | 0.697707i | \(0.245796\pi\) | ||||
−0.716383 | + | 0.697707i | \(0.754204\pi\) | |||||||
\(240\) | 5.07570 | − | 17.8991i | 0.327635 | − | 1.15538i | ||||
\(241\) | − | 10.4033i | − | 0.670133i | −0.942194 | − | 0.335067i | \(-0.891241\pi\) | ||
0.942194 | − | 0.335067i | \(-0.108759\pi\) | |||||||
\(242\) | −12.8290 | + | 7.19082i | −0.824679 | + | 0.462243i | ||||
\(243\) | − | 12.8969i | − | 0.827340i | ||||||
\(244\) | 5.56527 | + | 3.40474i | 0.356280 | + | 0.217966i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 7.76193 | − | 4.35066i | 0.494883 | − | 0.277388i | ||||
\(247\) | −20.4639 | −1.30209 | ||||||||
\(248\) | −1.11667 | + | 29.2483i | −0.0709084 | + | 1.85727i | ||||
\(249\) | −4.91233 | −0.311306 | ||||||||
\(250\) | 15.5955 | + | 2.60389i | 0.986346 | + | 0.164685i | ||||
\(251\) | −6.03246 | −0.380766 | −0.190383 | − | 0.981710i | \(-0.560973\pi\) | ||||
−0.190383 | + | 0.981710i | \(0.560973\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.47044i | 0.0924460i | ||||||||
\(254\) | 18.9069 | − | 10.5976i | 1.18633 | − | 0.664951i | ||||
\(255\) | −14.2392 | − | 13.2397i | −0.891696 | − | 0.829099i | ||||
\(256\) | −9.36622 | + | 12.9720i | −0.585389 | + | 0.810753i | ||||
\(257\) | 1.61961 | 0.101029 | 0.0505144 | − | 0.998723i | \(-0.483914\pi\) | ||||
0.0505144 | + | 0.998723i | \(0.483914\pi\) | |||||||
\(258\) | −13.2188 | − | 23.5834i | −0.822966 | − | 1.46824i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −5.04636 | − | 18.0428i | −0.312962 | − | 1.11897i | ||||
\(261\) | −13.2471 | −0.819973 | ||||||||
\(262\) | 17.2559 | − | 9.67213i | 1.06607 | − | 0.597546i | ||||
\(263\) | −5.03108 | −0.310229 | −0.155115 | − | 0.987896i | \(-0.549575\pi\) | ||||
−0.155115 | + | 0.987896i | \(0.549575\pi\) | |||||||
\(264\) | 0.173964 | − | 4.55655i | 0.0107067 | − | 0.280436i | ||||
\(265\) | −4.24287 | − | 3.94502i | −0.260637 | − | 0.242341i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −29.8581 | −1.82728 | ||||||||
\(268\) | −2.37000 | + | 3.87392i | −0.144771 | + | 0.236637i | ||||
\(269\) | − | 12.5171i | − | 0.763184i | −0.924331 | − | 0.381592i | \(-0.875376\pi\) | ||
0.924331 | − | 0.381592i | \(-0.124624\pi\) | |||||||
\(270\) | −10.6957 | − | 2.59655i | −0.650919 | − | 0.158021i | ||||
\(271\) | 3.66170 | 0.222432 | 0.111216 | − | 0.993796i | \(-0.464525\pi\) | ||||
0.111216 | + | 0.993796i | \(0.464525\pi\) | |||||||
\(272\) | 7.61327 | + | 14.8874i | 0.461622 | + | 0.902681i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.41537 | − | 4.30921i | −0.145918 | − | 0.260329i | ||||
\(275\) | 3.86499 | − | 0.281561i | 0.233067 | − | 0.0169788i | ||||
\(276\) | 6.73277 | + | 4.11900i | 0.405265 | + | 0.247935i | ||||
\(277\) | − | 25.8916i | − | 1.55568i | −0.628464 | − | 0.777839i | \(-0.716316\pi\) | ||
0.628464 | − | 0.777839i | \(-0.283684\pi\) | |||||||
\(278\) | −16.2509 | + | 9.10882i | −0.974662 | + | 0.546311i | ||||
\(279\) | −13.7296 | −0.821970 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.7079 | 0.877397 | 0.438698 | − | 0.898634i | \(-0.355440\pi\) | ||||
0.438698 | + | 0.898634i | \(0.355440\pi\) | |||||||
\(282\) | 21.2276 | − | 11.8983i | 1.26408 | − | 0.708536i | ||||
\(283\) | − | 30.2185i | − | 1.79631i | −0.439683 | − | 0.898153i | \(-0.644909\pi\) | ||
0.439683 | − | 0.898153i | \(-0.355091\pi\) | |||||||
\(284\) | −7.52820 | − | 4.60563i | −0.446716 | − | 0.273294i | ||||
\(285\) | −16.6389 | − | 15.4709i | −0.985606 | − | 0.916417i | ||||
\(286\) | −2.24515 | − | 4.00553i | −0.132758 | − | 0.236852i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −6.24804 | − | 4.15811i | −0.368169 | − | 0.245019i | ||||
\(289\) | 0.474782 | 0.0279283 | ||||||||
\(290\) | −7.44881 | + | 30.6830i | −0.437409 | + | 1.80177i | ||||
\(291\) | − | 29.9771i | − | 1.75729i | ||||||
\(292\) | 2.86946 | − | 4.69032i | 0.167923 | − | 0.274480i | ||||
\(293\) | −13.9578 | −0.815421 | −0.407710 | − | 0.913111i | \(-0.633673\pi\) | ||||
−0.407710 | + | 0.913111i | \(0.633673\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.01550 | + | 7.54516i | −0.408458 | + | 0.439296i | ||||
\(296\) | −9.65985 | − | 0.368802i | −0.561468 | − | 0.0214362i | ||||
\(297\) | −2.69756 | −0.156528 | ||||||||
\(298\) | 12.3956 | − | 6.94788i | 0.718056 | − | 0.402480i | ||||
\(299\) | 7.94813 | 0.459652 | ||||||||
\(300\) | 9.53739 | − | 18.4855i | 0.550642 | − | 1.06726i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 13.7552 | + | 24.5405i | 0.791525 | + | 1.41214i | ||||
\(303\) | 3.51906 | 0.202165 | ||||||||
\(304\) | 8.89632 | + | 17.3963i | 0.510239 | + | 0.997748i | ||||
\(305\) | 5.34188 | + | 4.96688i | 0.305875 | + | 0.284403i | ||||
\(306\) | −6.84197 | + | 3.83501i | −0.391129 | + | 0.219233i | ||||
\(307\) | − | 23.2065i | − | 1.32446i | −0.749300 | − | 0.662231i | \(-0.769610\pi\) | ||
0.749300 | − | 0.662231i | \(-0.230390\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.15142 | −0.0655022 | ||||||||
\(310\) | −7.72014 | + | 31.8007i | −0.438475 | + | 1.80616i | ||||
\(311\) | 4.76466 | 0.270179 | 0.135090 | − | 0.990833i | \(-0.456868\pi\) | ||||
0.135090 | + | 0.990833i | \(0.456868\pi\) | |||||||
\(312\) | −24.6294 | − | 0.940321i | −1.39436 | − | 0.0532352i | ||||
\(313\) | 0.0995344 | 0.00562602 | 0.00281301 | − | 0.999996i | \(-0.499105\pi\) | ||||
0.00281301 | + | 0.999996i | \(0.499105\pi\) | |||||||
\(314\) | 17.0665 | − | 9.56597i | 0.963116 | − | 0.539839i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −24.2491 | − | 14.8352i | −1.36412 | − | 0.834546i | ||||
\(317\) | − | 17.6855i | − | 0.993316i | −0.867946 | − | 0.496658i | \(-0.834560\pi\) | ||
0.867946 | − | 0.496658i | \(-0.165440\pi\) | |||||||
\(318\) | −6.64857 | + | 3.72661i | −0.372833 | + | 0.208978i | ||||
\(319\) | 7.73856i | 0.433276i | ||||||||
\(320\) | −13.1443 | + | 12.1337i | −0.734791 | + | 0.678294i | ||||
\(321\) | 16.8308i | 0.939405i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 20.4198 | 1.13619 | ||||||||
\(324\) | −11.7107 | + | 19.1419i | −0.650594 | + | 1.06344i | ||||
\(325\) | −1.52191 | − | 20.8913i | −0.0844205 | − | 1.15884i | ||||
\(326\) | −9.95497 | + | 5.57989i | −0.551355 | + | 0.309041i | ||||
\(327\) | 28.7106i | 1.58770i | ||||||||
\(328\) | −8.54928 | − | 0.326402i | −0.472055 | − | 0.0180225i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 1.20271 | − | 4.95419i | 0.0662071 | − | 0.272719i | ||||
\(331\) | − | 4.14193i | − | 0.227661i | −0.993500 | − | 0.113831i | \(-0.963688\pi\) | ||
0.993500 | − | 0.113831i | \(-0.0363121\pi\) | |||||||
\(332\) | 4.02902 | + | 2.46489i | 0.221121 | + | 0.135278i | ||||
\(333\) | − | 4.53449i | − | 0.248489i | ||||||
\(334\) | 13.0919 | + | 23.3570i | 0.716357 | + | 1.27804i | ||||
\(335\) | −3.45739 | + | 3.71842i | −0.188897 | + | 0.203159i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 28.4342i | − | 1.54891i | −0.632630 | − | 0.774454i | \(-0.718025\pi\) | ||
0.632630 | − | 0.774454i | \(-0.281975\pi\) | |||||||
\(338\) | −5.61359 | + | 3.14649i | −0.305339 | + | 0.171147i | ||||
\(339\) | −27.0432 | −1.46878 | ||||||||
\(340\) | 5.03547 | + | 18.0039i | 0.273087 | + | 0.976397i | ||||
\(341\) | 8.02045i | 0.434332i | ||||||||
\(342\) | −7.99503 | + | 4.48132i | −0.432322 | + | 0.242322i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.991720 | + | 25.9756i | −0.0534699 | + | 1.40051i | ||||
\(345\) | 6.46252 | + | 6.00886i | 0.347930 | + | 0.323506i | ||||
\(346\) | 10.8730 | − | 6.09446i | 0.584536 | − | 0.327640i | ||||
\(347\) | −21.4721 | −1.15268 | −0.576342 | − | 0.817209i | \(-0.695520\pi\) | ||||
−0.576342 | + | 0.817209i | \(0.695520\pi\) | |||||||
\(348\) | 35.4328 | + | 21.6772i | 1.89940 | + | 1.16202i | ||||
\(349\) | − | 13.8800i | − | 0.742981i | −0.928437 | − | 0.371490i | \(-0.878847\pi\) | ||
0.928437 | − | 0.371490i | \(-0.121153\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 14.5810i | 0.778276i | ||||||||
\(352\) | −2.42905 | + | 3.64993i | −0.129469 | + | 0.194542i | ||||
\(353\) | 10.9664 | 0.583682 | 0.291841 | − | 0.956467i | \(-0.405732\pi\) | ||||
0.291841 | + | 0.956467i | \(0.405732\pi\) | |||||||
\(354\) | 6.62709 | + | 11.8233i | 0.352226 | + | 0.628399i | ||||
\(355\) | −7.22602 | − | 6.71876i | −0.383517 | − | 0.356595i | ||||
\(356\) | 24.4892 | + | 14.9821i | 1.29792 | + | 0.794048i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.00113 | − | 7.13834i | −0.211466 | − | 0.377273i | ||||
\(359\) | 26.1577i | 1.38055i | 0.723547 | + | 0.690275i | \(0.242510\pi\) | ||||
−0.723547 | + | 0.690275i | \(0.757490\pi\) | |||||||
\(360\) | −5.92268 | − | 5.94404i | −0.312153 | − | 0.313279i | ||||
\(361\) | 4.86105 | 0.255845 | ||||||||
\(362\) | 0.851631 | + | 1.51938i | 0.0447607 | + | 0.0798568i | ||||
\(363\) | 21.6314i | 1.13535i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.18601 | − | 4.50205i | 0.219106 | − | 0.235648i | ||||
\(366\) | 8.37072 | − | 4.69189i | 0.437544 | − | 0.245249i | ||||
\(367\) | 6.54021i | 0.341396i | 0.985323 | + | 0.170698i | \(0.0546023\pi\) | ||||
−0.985323 | + | 0.170698i | \(0.945398\pi\) | |||||||
\(368\) | −3.45531 | − | 6.75669i | −0.180120 | − | 0.352217i | ||||
\(369\) | − | 4.01317i | − | 0.208917i | ||||||
\(370\) | −10.5028 | − | 2.54974i | −0.546017 | − | 0.132555i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 36.7235 | + | 22.4669i | 1.90403 | + | 1.16485i | ||||
\(373\) | 2.77938i | 0.143911i | 0.997408 | + | 0.0719555i | \(0.0229240\pi\) | ||||
−0.997408 | + | 0.0719555i | \(0.977076\pi\) | |||||||
\(374\) | 2.24030 | + | 3.99688i | 0.115843 | + | 0.206674i | ||||
\(375\) | 14.5565 | − | 18.1370i | 0.751696 | − | 0.936590i | ||||
\(376\) | −23.3809 | − | 0.892655i | −1.20578 | − | 0.0460352i | ||||
\(377\) | 41.8289 | 2.15430 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7.04001i | 0.361621i | 0.983518 | + | 0.180811i | \(0.0578721\pi\) | ||||
−0.983518 | + | 0.180811i | \(0.942128\pi\) | |||||||
\(380\) | 5.88409 | + | 21.0380i | 0.301847 | + | 1.07923i | ||||
\(381\) | − | 31.8796i | − | 1.63324i | ||||||
\(382\) | −12.0617 | − | 21.5191i | −0.617131 | − | 1.10101i | ||||
\(383\) | − | 5.64777i | − | 0.288588i | −0.989535 | − | 0.144294i | \(-0.953909\pi\) | ||
0.989535 | − | 0.144294i | \(-0.0460910\pi\) | |||||||
\(384\) | 9.90780 | + | 21.3462i | 0.505606 | + | 1.08932i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −6.58918 | − | 11.7556i | −0.335381 | − | 0.598346i | ||||
\(387\) | −12.1934 | −0.619824 | ||||||||
\(388\) | −15.0418 | + | 24.5868i | −0.763631 | + | 1.24820i | ||||
\(389\) | 19.1856 | 0.972750 | 0.486375 | − | 0.873750i | \(-0.338319\pi\) | ||||
0.486375 | + | 0.873750i | \(0.338319\pi\) | |||||||
\(390\) | −26.7787 | − | 6.50097i | −1.35599 | − | 0.329189i | ||||
\(391\) | −7.93098 | −0.401087 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | − | 29.0957i | − | 1.46768i | ||||||
\(394\) | −4.07075 | − | 7.26255i | −0.205081 | − | 0.365882i | ||||
\(395\) | −23.2758 | − | 21.6418i | −1.17113 | − | 1.08892i | ||||
\(396\) | −1.75431 | − | 1.07326i | −0.0881574 | − | 0.0539333i | ||||
\(397\) | −15.3584 | −0.770816 | −0.385408 | − | 0.922746i | \(-0.625939\pi\) | ||||
−0.385408 | + | 0.922746i | \(0.625939\pi\) | |||||||
\(398\) | −17.2495 | + | 9.66857i | −0.864639 | + | 0.484642i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −17.0980 | + | 10.3759i | −0.854900 | + | 0.518794i | ||||
\(401\) | 8.95131 | 0.447007 | 0.223504 | − | 0.974703i | \(-0.428251\pi\) | ||||
0.223504 | + | 0.974703i | \(0.428251\pi\) | |||||||
\(402\) | 3.26597 | + | 5.82676i | 0.162892 | + | 0.290612i | ||||
\(403\) | 43.3526 | 2.15955 | ||||||||
\(404\) | −2.88628 | − | 1.76578i | −0.143598 | − | 0.0878507i | ||||
\(405\) | −17.0837 | + | 18.3735i | −0.848897 | + | 0.912988i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −2.64892 | −0.131302 | ||||||||
\(408\) | 24.5762 | + | 0.938293i | 1.21670 | + | 0.0464524i | ||||
\(409\) | − | 4.50853i | − | 0.222933i | −0.993768 | − | 0.111466i | \(-0.964445\pi\) | ||
0.993768 | − | 0.111466i | \(-0.0355547\pi\) | |||||||
\(410\) | −9.29536 | − | 2.25660i | −0.459065 | − | 0.111446i | ||||
\(411\) | −7.26591 | −0.358401 | ||||||||
\(412\) | 0.944381 | + | 0.577757i | 0.0465263 | + | 0.0284640i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 3.10525 | − | 1.74053i | 0.152615 | − | 0.0855424i | ||||
\(415\) | 3.86730 | + | 3.59581i | 0.189838 | + | 0.176512i | ||||
\(416\) | 19.7288 | + | 13.1297i | 0.967284 | + | 0.643735i | ||||
\(417\) | 27.4011i | 1.34184i | ||||||||
\(418\) | 2.61786 | + | 4.67047i | 0.128044 | + | 0.228440i | ||||
\(419\) | −29.0565 | −1.41950 | −0.709751 | − | 0.704453i | \(-0.751192\pi\) | ||||
−0.709751 | + | 0.704453i | \(0.751192\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −11.9368 | −0.581763 | −0.290882 | − | 0.956759i | \(-0.593949\pi\) | ||||
−0.290882 | + | 0.956759i | \(0.593949\pi\) | |||||||
\(422\) | 14.1680 | + | 25.2768i | 0.689687 | + | 1.23046i | ||||
\(423\) | − | 10.9754i | − | 0.533640i | ||||||
\(424\) | 7.32298 | + | 0.279583i | 0.355636 | + | 0.0135778i | ||||
\(425\) | 1.51863 | + | 20.8462i | 0.0736643 | + | 1.01119i | ||||
\(426\) | −11.3232 | + | 6.34678i | −0.548609 | + | 0.307502i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 8.44530 | − | 13.8044i | 0.408219 | − | 0.667261i | ||||
\(429\) | −6.75385 | −0.326079 | ||||||||
\(430\) | −6.85632 | + | 28.2424i | −0.330641 | + | 1.36197i | ||||
\(431\) | 12.9912i | 0.625764i | 0.949792 | + | 0.312882i | \(0.101294\pi\) | ||||
−0.949792 | + | 0.312882i | \(0.898706\pi\) | |||||||
\(432\) | 12.3953 | − | 6.33882i | 0.596368 | − | 0.304977i | ||||
\(433\) | −15.4967 | −0.744724 | −0.372362 | − | 0.928088i | \(-0.621452\pi\) | ||||
−0.372362 | + | 0.928088i | \(0.621452\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 34.0106 | + | 31.6231i | 1.63068 | + | 1.51621i | ||||
\(436\) | 14.4063 | − | 23.5480i | 0.689937 | − | 1.12775i | ||||
\(437\) | −9.26757 | −0.443328 | ||||||||
\(438\) | −3.95425 | − | 7.05471i | −0.188942 | − | 0.337087i | ||||
\(439\) | −2.54235 | −0.121340 | −0.0606698 | − | 0.998158i | \(-0.519324\pi\) | ||||
−0.0606698 | + | 0.998158i | \(0.519324\pi\) | |||||||
\(440\) | −3.47234 | + | 3.45986i | −0.165537 | + | 0.164943i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 21.6042 | − | 12.1094i | 1.02761 | − | 0.575987i | ||||
\(443\) | −30.0971 | −1.42995 | −0.714977 | − | 0.699148i | \(-0.753563\pi\) | ||||
−0.714977 | + | 0.699148i | \(0.753563\pi\) | |||||||
\(444\) | −7.42015 | + | 12.1287i | −0.352145 | + | 0.575603i | ||||
\(445\) | 23.5062 | + | 21.8560i | 1.11430 | + | 1.03608i | ||||
\(446\) | −3.44686 | − | 6.14948i | −0.163214 | − | 0.291186i | ||||
\(447\) | − | 20.9006i | − | 0.988565i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.40778 | 0.302402 | 0.151201 | − | 0.988503i | \(-0.451686\pi\) | ||||
0.151201 | + | 0.988503i | \(0.451686\pi\) | |||||||
\(450\) | −5.16949 | − | 7.82871i | −0.243692 | − | 0.369049i | ||||
\(451\) | −2.34438 | −0.110393 | ||||||||
\(452\) | 22.1804 | + | 13.5696i | 1.04328 | + | 0.638261i | ||||
\(453\) | 41.3785 | 1.94413 | ||||||||
\(454\) | −2.88285 | − | 5.14324i | −0.135299 | − | 0.241384i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 28.7180 | + | 1.09642i | 1.34484 | + | 0.0513446i | ||||
\(457\) | − | 3.15627i | − | 0.147644i | −0.997271 | − | 0.0738220i | \(-0.976480\pi\) | ||
0.997271 | − | 0.0738220i | \(-0.0235197\pi\) | |||||||
\(458\) | −0.700458 | − | 1.24967i | −0.0327302 | − | 0.0583934i | ||||
\(459\) | − | 14.5495i | − | 0.679114i | ||||||
\(460\) | −2.28536 | − | 8.17111i | −0.106556 | − | 0.380980i | ||||
\(461\) | − | 9.88170i | − | 0.460237i | −0.973163 | − | 0.230118i | \(-0.926089\pi\) | ||
0.973163 | − | 0.230118i | \(-0.0739114\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.55216 | −0.443926 | −0.221963 | − | 0.975055i | \(-0.571246\pi\) | ||||
−0.221963 | + | 0.975055i | \(0.571246\pi\) | |||||||
\(464\) | −18.1844 | − | 35.5587i | −0.844189 | − | 1.65077i | ||||
\(465\) | 35.2495 | + | 32.7750i | 1.63465 | + | 1.51990i | ||||
\(466\) | 13.6391 | + | 24.3332i | 0.631817 | + | 1.12721i | ||||
\(467\) | − | 13.4654i | − | 0.623104i | −0.950229 | − | 0.311552i | \(-0.899151\pi\) | ||
0.950229 | − | 0.311552i | \(-0.100849\pi\) | |||||||
\(468\) | −5.80124 | + | 9.48250i | −0.268163 | + | 0.438329i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −25.4213 | − | 6.17143i | −1.17260 | − | 0.284667i | ||||
\(471\) | − | 28.7764i | − | 1.32594i | ||||||
\(472\) | 0.497187 | − | 13.0226i | 0.0228849 | − | 0.599413i | ||||
\(473\) | 7.12302i | 0.327517i | ||||||||
\(474\) | −36.4731 | + | 20.4436i | −1.67526 | + | 0.939007i | ||||
\(475\) | 1.77456 | + | 24.3593i | 0.0814224 | + | 1.11768i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 3.43753i | 0.157394i | ||||||||
\(478\) | −14.9168 | − | 26.6128i | −0.682280 | − | 1.21724i | ||||
\(479\) | −14.0240 | −0.640773 | −0.320387 | − | 0.947287i | \(-0.603813\pi\) | ||||
−0.320387 | + | 0.947287i | \(0.603813\pi\) | |||||||
\(480\) | 6.11510 | + | 25.5907i | 0.279115 | + | 1.16805i | ||||
\(481\) | 14.3181i | 0.652850i | ||||||||
\(482\) | 7.19356 | + | 12.8339i | 0.327658 | + | 0.584568i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 10.8541 | − | 17.7418i | 0.493369 | − | 0.806444i | ||||
\(485\) | −21.9432 | + | 23.5999i | −0.996388 | + | 1.07161i | ||||
\(486\) | 8.91787 | + | 15.9102i | 0.404523 | + | 0.721701i | ||||
\(487\) | 30.3378 | 1.37474 | 0.687368 | − | 0.726309i | \(-0.258766\pi\) | ||||
0.687368 | + | 0.726309i | \(0.258766\pi\) | |||||||
\(488\) | −9.21982 | − | 0.352002i | −0.417362 | − | 0.0159344i | ||||
\(489\) | 16.7854i | 0.759063i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8.93052i | 0.403029i | 0.979486 | + | 0.201514i | \(0.0645862\pi\) | ||||
−0.979486 | + | 0.201514i | \(0.935414\pi\) | |||||||
\(492\) | −6.56707 | + | 10.7343i | −0.296066 | + | 0.483940i | ||||
\(493\) | −41.7387 | −1.87982 | ||||||||
\(494\) | 25.2451 | − | 14.1502i | 1.13583 | − | 0.636648i | ||||
\(495\) | −1.68389 | − | 1.56568i | −0.0756853 | − | 0.0703723i | ||||
\(496\) | −18.8468 | − | 36.8540i | −0.846245 | − | 1.65479i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 6.06005 | − | 3.39673i | 0.271557 | − | 0.152211i | ||||
\(499\) | − | 5.52736i | − | 0.247439i | −0.992317 | − | 0.123719i | \(-0.960518\pi\) | ||
0.992317 | − | 0.123719i | \(-0.0394822\pi\) | |||||||
\(500\) | −21.0398 | + | 7.57157i | −0.940926 | + | 0.338611i | ||||
\(501\) | 39.3830 | 1.75950 | ||||||||
\(502\) | 7.44189 | − | 4.17127i | 0.332148 | − | 0.186173i | ||||
\(503\) | − | 20.6496i | − | 0.920720i | −0.887732 | − | 0.460360i | \(-0.847720\pi\) | ||
0.887732 | − | 0.460360i | \(-0.152280\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.77042 | − | 2.57594i | −0.123282 | − | 0.114628i | ||||
\(506\) | −1.01677 | − | 1.81400i | −0.0452009 | − | 0.0806420i | ||||
\(507\) | 9.46527i | 0.420367i | ||||||||
\(508\) | −15.9964 | + | 26.1472i | −0.709727 | + | 1.16009i | ||||
\(509\) | − | 29.8021i | − | 1.32095i | −0.750846 | − | 0.660477i | \(-0.770354\pi\) | ||
0.750846 | − | 0.660477i | \(-0.229646\pi\) | |||||||
\(510\) | 26.7209 | + | 6.48695i | 1.18322 | + | 0.287247i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 2.58476 | − | 22.4793i | 0.114231 | − | 0.993454i | ||||
\(513\) | − | 17.0015i | − | 0.750636i | ||||||
\(514\) | −1.99802 | + | 1.11992i | −0.0881289 | + | 0.0493974i | ||||
\(515\) | 0.906473 | + | 0.842839i | 0.0399440 | + | 0.0371399i | ||||
\(516\) | 32.6144 | + | 19.9530i | 1.43577 | + | 0.878381i | ||||
\(517\) | −6.41149 | −0.281977 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 18.3333i | − | 0.804745i | ||||||
\(520\) | 18.7015 | + | 18.7689i | 0.820114 | + | 0.823071i | ||||
\(521\) | 35.0853i | 1.53711i | 0.639781 | + | 0.768557i | \(0.279025\pi\) | ||||
−0.639781 | + | 0.768557i | \(0.720975\pi\) | |||||||
\(522\) | 16.3421 | − | 9.15996i | 0.715275 | − | 0.400921i | ||||
\(523\) | 21.8889i | 0.957135i | 0.878051 | + | 0.478567i | \(0.158844\pi\) | ||||
−0.878051 | + | 0.478567i | \(0.841156\pi\) | |||||||
\(524\) | −14.5995 | + | 23.8639i | −0.637783 | + | 1.04250i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6.20654 | − | 3.47884i | 0.270618 | − | 0.151685i | ||||
\(527\) | −43.2591 | −1.88440 | ||||||||
\(528\) | 2.93612 | + | 5.74144i | 0.127778 | + | 0.249864i | ||||
\(529\) | −19.4005 | −0.843500 | ||||||||
\(530\) | 7.96205 | + | 1.93292i | 0.345849 | + | 0.0839606i | ||||
\(531\) | 6.11301 | 0.265282 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 12.6720i | 0.548885i | ||||||||
\(534\) | 36.8341 | − | 20.6460i | 1.59397 | − | 0.893440i | ||||
\(535\) | 12.3201 | − | 13.2503i | 0.532646 | − | 0.572860i | ||||
\(536\) | 0.245025 | − | 6.41781i | 0.0105835 | − | 0.277207i | ||||
\(537\) | −12.0362 | −0.519400 | ||||||||
\(538\) | 8.65524 | + | 15.4416i | 0.373154 | + | 0.665737i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 14.9901 | − | 4.19254i | 0.645070 | − | 0.180418i | ||||
\(541\) | −25.4381 | −1.09367 | −0.546834 | − | 0.837241i | \(-0.684167\pi\) | ||||
−0.546834 | + | 0.837241i | \(0.684167\pi\) | |||||||
\(542\) | −4.51722 | + | 2.53196i | −0.194031 | + | 0.108757i | ||||
\(543\) | 2.56188 | 0.109941 | ||||||||
\(544\) | −19.6862 | − | 13.1013i | −0.844041 | − | 0.561715i | ||||
\(545\) | 21.0161 | − | 22.6028i | 0.900231 | − | 0.968198i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −43.6348 | −1.86569 | −0.932845 | − | 0.360278i | \(-0.882682\pi\) | ||||
−0.932845 | + | 0.360278i | \(0.882682\pi\) | |||||||
\(548\) | 5.95939 | + | 3.64586i | 0.254573 | + | 0.155743i | ||||
\(549\) | − | 4.32793i | − | 0.184712i | ||||||
\(550\) | −4.57331 | + | 3.01987i | −0.195007 | + | 0.128768i | ||||
\(551\) | −48.7728 | −2.07779 | ||||||||
\(552\) | −11.1540 | − | 0.425847i | −0.474745 | − | 0.0181252i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 17.9033 | + | 31.9410i | 0.760639 | + | 1.35704i | ||||
\(555\) | −10.8246 | + | 11.6419i | −0.459479 | + | 0.494170i | ||||
\(556\) | 13.7492 | − | 22.4740i | 0.583098 | − | 0.953111i | ||||
\(557\) | − | 18.0557i | − | 0.765044i | −0.923946 | − | 0.382522i | \(-0.875056\pi\) | ||
0.923946 | − | 0.382522i | \(-0.124944\pi\) | |||||||
\(558\) | 16.9374 | − | 9.49363i | 0.717017 | − | 0.401897i | ||||
\(559\) | 38.5018 | 1.62845 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 6.73928 | 0.284533 | ||||||||
\(562\) | −18.1442 | + | 10.1701i | −0.765367 | + | 0.428998i | ||||
\(563\) | 5.17801i | 0.218227i | 0.994029 | + | 0.109113i | \(0.0348012\pi\) | ||||
−0.994029 | + | 0.109113i | \(0.965199\pi\) | |||||||
\(564\) | −17.9599 | + | 29.3565i | −0.756246 | + | 1.23613i | ||||
\(565\) | 21.2901 | + | 19.7955i | 0.895681 | + | 0.832805i | ||||
\(566\) | 20.8953 | + | 37.2788i | 0.878293 | + | 1.56695i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 12.4717 | + | 0.476157i | 0.523303 | + | 0.0199791i | ||||
\(569\) | 21.7914 | 0.913544 | 0.456772 | − | 0.889584i | \(-0.349005\pi\) | ||||
0.456772 | + | 0.889584i | \(0.349005\pi\) | |||||||
\(570\) | 31.2241 | + | 7.58017i | 1.30784 | + | 0.317499i | ||||
\(571\) | 16.2217i | 0.678857i | 0.940632 | + | 0.339429i | \(0.110234\pi\) | ||||
−0.940632 | + | 0.339429i | \(0.889766\pi\) | |||||||
\(572\) | 5.53941 | + | 3.38892i | 0.231614 | + | 0.141698i | ||||
\(573\) | −36.2840 | −1.51579 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.689234 | − | 9.46110i | −0.0287431 | − | 0.394555i | ||||
\(576\) | 10.5830 | + | 0.809277i | 0.440960 | + | 0.0337199i | ||||
\(577\) | 43.3118 | 1.80309 | 0.901547 | − | 0.432680i | \(-0.142432\pi\) | ||||
0.901547 | + | 0.432680i | \(0.142432\pi\) | |||||||
\(578\) | −0.585710 | + | 0.328298i | −0.0243623 | + | 0.0136554i | ||||
\(579\) | −19.8216 | −0.823757 | ||||||||
\(580\) | −12.0273 | − | 43.0024i | −0.499406 | − | 1.78558i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 20.7283 | + | 36.9809i | 0.859215 | + | 1.53291i | ||||
\(583\) | 2.00811 | 0.0831673 | ||||||||
\(584\) | −0.296662 | + | 7.77032i | −0.0122760 | + | 0.321538i | ||||
\(585\) | −8.46293 | + | 9.10188i | −0.349899 | + | 0.376316i | ||||
\(586\) | 17.2188 | − | 9.65139i | 0.711304 | − | 0.398695i | ||||
\(587\) | − | 30.4825i | − | 1.25815i | −0.777345 | − | 0.629074i | \(-0.783434\pi\) | ||
0.777345 | − | 0.629074i | \(-0.216566\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −50.5494 | −2.08285 | ||||||||
\(590\) | 3.43734 | − | 14.1590i | 0.141513 | − | 0.582918i | ||||
\(591\) | −12.2456 | −0.503718 | ||||||||
\(592\) | 12.1718 | − | 6.22454i | 0.500258 | − | 0.255827i | ||||
\(593\) | 16.2338 | 0.666644 | 0.333322 | − | 0.942813i | \(-0.391830\pi\) | ||||
0.333322 | + | 0.942813i | \(0.391830\pi\) | |||||||
\(594\) | 3.32781 | − | 1.86528i | 0.136542 | − | 0.0765335i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −10.4874 | + | 17.1424i | −0.429582 | + | 0.702179i | ||||
\(597\) | 29.0850i | 1.19037i | ||||||||
\(598\) | −9.80513 | + | 5.49590i | −0.400962 | + | 0.224744i | ||||
\(599\) | − | 21.3963i | − | 0.874228i | −0.899406 | − | 0.437114i | \(-0.856001\pi\) | ||
0.899406 | − | 0.437114i | \(-0.143999\pi\) | |||||||
\(600\) | 1.01646 | + | 29.3992i | 0.0414967 | + | 1.20022i | ||||
\(601\) | 6.40965i | 0.261455i | 0.991418 | + | 0.130728i | \(0.0417313\pi\) | ||||
−0.991418 | + | 0.130728i | \(0.958269\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.01262 | 0.122683 | ||||||||
\(604\) | −33.9380 | − | 20.7627i | −1.38092 | − | 0.844824i | ||||
\(605\) | 15.8341 | − | 17.0296i | 0.643749 | − | 0.692352i | ||||
\(606\) | −4.34125 | + | 2.43333i | −0.176351 | + | 0.0988471i | ||||
\(607\) | 45.6549i | 1.85307i | 0.376205 | + | 0.926537i | \(0.377229\pi\) | ||||
−0.376205 | + | 0.926537i | \(0.622771\pi\) | |||||||
\(608\) | −23.0039 | − | 15.3093i | −0.932932 | − | 0.620873i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −10.0244 | − | 2.43359i | −0.405877 | − | 0.0985332i | ||||
\(611\) | 34.6558i | 1.40202i | ||||||||
\(612\) | 5.78873 | − | 9.46205i | 0.233995 | − | 0.382481i | ||||
\(613\) | 1.69974i | 0.0686517i | 0.999411 | + | 0.0343259i | \(0.0109284\pi\) | ||||
−0.999411 | + | 0.0343259i | \(0.989072\pi\) | |||||||
\(614\) | 16.0466 | + | 28.6284i | 0.647588 | + | 1.15535i | ||||
\(615\) | −9.58014 | + | 10.3034i | −0.386308 | + | 0.415474i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 21.5543i | − | 0.867744i | −0.900975 | − | 0.433872i | \(-0.857147\pi\) | ||
0.900975 | − | 0.433872i | \(-0.142853\pi\) | |||||||
\(618\) | 1.42044 | − | 0.796176i | 0.0571386 | − | 0.0320269i | ||||
\(619\) | 0.210519 | 0.00846148 | 0.00423074 | − | 0.999991i | \(-0.498653\pi\) | ||||
0.00423074 | + | 0.999991i | \(0.498653\pi\) | |||||||
\(620\) | −12.4654 | − | 44.5689i | −0.500622 | − | 1.78993i | ||||
\(621\) | 6.60335i | 0.264983i | ||||||||
\(622\) | −5.87788 | + | 3.29463i | −0.235681 | + | 0.132102i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 31.0340 | − | 15.8705i | 1.24235 | − | 0.635327i | ||||
\(625\) | −24.7360 | + | 3.62324i | −0.989442 | + | 0.144929i | ||||
\(626\) | −0.122790 | + | 0.0688252i | −0.00490766 | + | 0.00275081i | ||||
\(627\) | 7.87504 | 0.314499 | ||||||||
\(628\) | −14.4393 | + | 23.6019i | −0.576190 | + | 0.941820i | ||||
\(629\) | − | 14.2872i | − | 0.569669i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 30.0918i | 1.19793i | 0.800774 | + | 0.598967i | \(0.204422\pi\) | ||||
−0.800774 | + | 0.598967i | \(0.795578\pi\) | |||||||
\(632\) | 40.1728 | + | 1.53375i | 1.59799 | + | 0.0610094i | ||||
\(633\) | 42.6201 | 1.69400 | ||||||||
\(634\) | 12.2290 | + | 21.8175i | 0.485676 | + | 0.866485i | ||||
\(635\) | −23.3358 | + | 25.0976i | −0.926053 | + | 0.995970i | ||||
\(636\) | 5.62510 | − | 9.19459i | 0.223050 | − | 0.364589i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −5.35099 | − | 9.54660i | −0.211848 | − | 0.377953i | ||||
\(639\) | 5.85444i | 0.231598i | ||||||||
\(640\) | 7.82529 | − | 24.0575i | 0.309322 | − | 0.950957i | ||||
\(641\) | −28.1931 | −1.11356 | −0.556780 | − | 0.830660i | \(-0.687963\pi\) | ||||
−0.556780 | + | 0.830660i | \(0.687963\pi\) | |||||||
\(642\) | −11.6380 | − | 20.7632i | −0.459316 | − | 0.819457i | ||||
\(643\) | 0.884403i | 0.0348774i | 0.999848 | + | 0.0174387i | \(0.00555120\pi\) | ||||
−0.999848 | + | 0.0174387i | \(0.994449\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 31.3053 | + | 29.1077i | 1.23265 | + | 1.14611i | ||||
\(646\) | −25.1906 | + | 14.1197i | −0.991112 | + | 0.555531i | ||||
\(647\) | 31.8257i | 1.25120i | 0.780145 | + | 0.625599i | \(0.215145\pi\) | ||||
−0.780145 | + | 0.625599i | \(0.784855\pi\) | |||||||
\(648\) | 1.21072 | − | 31.7118i | 0.0475616 | − | 1.24576i | ||||
\(649\) | − | 3.57105i | − | 0.140176i | ||||||
\(650\) | 16.3232 | + | 24.7199i | 0.640248 | + | 0.969595i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 8.42252 | − | 13.7671i | 0.329851 | − | 0.539163i | ||||
\(653\) | − | 31.6920i | − | 1.24020i | −0.784522 | − | 0.620101i | \(-0.787091\pi\) | ||
0.784522 | − | 0.620101i | \(-0.212909\pi\) | |||||||
\(654\) | −19.8526 | − | 35.4186i | −0.776297 | − | 1.38498i | ||||
\(655\) | −21.2980 | + | 22.9060i | −0.832181 | + | 0.895010i | ||||
\(656\) | 10.7724 | − | 5.50892i | 0.420593 | − | 0.215087i | ||||
\(657\) | −3.64751 | −0.142303 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 21.5313i | − | 0.838739i | −0.907816 | − | 0.419370i | \(-0.862251\pi\) | ||
0.907816 | − | 0.419370i | \(-0.137749\pi\) | |||||||
\(660\) | 1.94197 | + | 6.94333i | 0.0755910 | + | 0.270269i | ||||
\(661\) | 21.1758i | 0.823642i | 0.911265 | + | 0.411821i | \(0.135107\pi\) | ||||
−0.911265 | + | 0.411821i | \(0.864893\pi\) | |||||||
\(662\) | 2.86403 | + | 5.10965i | 0.111314 | + | 0.198592i | ||||
\(663\) | − | 36.4276i | − | 1.41473i | ||||||
\(664\) | −6.67476 | − | 0.254835i | −0.259031 | − | 0.00988951i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 3.13547 | + | 5.59393i | 0.121497 | + | 0.216760i | ||||
\(667\) | 18.9432 | 0.733485 | ||||||||
\(668\) | −32.3014 | − | 19.7615i | −1.24978 | − | 0.764594i | ||||
\(669\) | −10.3689 | −0.400883 | ||||||||
\(670\) | 1.69399 | − | 6.97788i | 0.0654447 | − | 0.269579i | ||||
\(671\) | −2.52825 | −0.0976022 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 33.5756i | 1.29424i | 0.762387 | + | 0.647121i | \(0.224027\pi\) | ||||
−0.762387 | + | 0.647121i | \(0.775973\pi\) | |||||||
\(674\) | 19.6614 | + | 35.0775i | 0.757329 | + | 1.35114i | ||||
\(675\) | 17.3566 | − | 1.26441i | 0.668055 | − | 0.0486673i | ||||
\(676\) | 4.74944 | − | 7.76327i | 0.182671 | − | 0.298587i | ||||
\(677\) | 20.6996 | 0.795549 | 0.397775 | − | 0.917483i | \(-0.369783\pi\) | ||||
0.397775 | + | 0.917483i | \(0.369783\pi\) | |||||||
\(678\) | 33.3615 | − | 18.6996i | 1.28124 | − | 0.718153i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −18.6611 | − | 18.7284i | −0.715621 | − | 0.718202i | ||||
\(681\) | −8.67219 | −0.332319 | ||||||||
\(682\) | −5.54591 | − | 9.89435i | −0.212364 | − | 0.378874i | ||||
\(683\) | −28.1216 | −1.07604 | −0.538021 | − | 0.842931i | \(-0.680828\pi\) | ||||
−0.538021 | + | 0.842931i | \(0.680828\pi\) | |||||||
\(684\) | 6.76429 | − | 11.0567i | 0.258639 | − | 0.422762i | ||||
\(685\) | 5.72018 | + | 5.31863i | 0.218557 | + | 0.203214i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −2.10712 | −0.0803915 | ||||||||
\(688\) | −16.7380 | − | 32.7303i | −0.638129 | − | 1.24783i | ||||
\(689\) | − | 10.8543i | − | 0.413517i | ||||||
\(690\) | −12.1274 | − | 2.94412i | −0.461681 | − | 0.112081i | ||||
\(691\) | 39.3458 | 1.49679 | 0.748393 | − | 0.663255i | \(-0.230826\pi\) | ||||
0.748393 | + | 0.663255i | \(0.230826\pi\) | |||||||
\(692\) | −9.19923 | + | 15.0367i | −0.349702 | + | 0.571611i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 26.4889 | − | 14.8474i | 1.00550 | − | 0.563598i | ||||
\(695\) | 20.0576 | − | 21.5719i | 0.760827 | − | 0.818269i | ||||
\(696\) | −58.7006 | − | 2.24112i | −2.22504 | − | 0.0849495i | ||||
\(697\) | − | 12.6446i | − | 0.478950i | ||||||
\(698\) | 9.59764 | + | 17.1230i | 0.363276 | + | 0.648114i | ||||
\(699\) | 41.0290 | 1.55186 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −14.6649 | −0.553887 | −0.276944 | − | 0.960886i | \(-0.589322\pi\) | ||||
−0.276944 | + | 0.960886i | \(0.589322\pi\) | |||||||
\(702\) | −10.0823 | − | 17.9877i | −0.380533 | − | 0.678902i | ||||
\(703\) | − | 16.6950i | − | 0.629664i | ||||||
\(704\) | 0.472757 | − | 6.18232i | 0.0178177 | − | 0.233005i | ||||
\(705\) | −26.2001 | + | 28.1782i | −0.986752 | + | 1.06125i | ||||
\(706\) | −13.5286 | + | 7.58295i | −0.509155 | + | 0.285388i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −16.3509 | − | 10.0032i | −0.614504 | − | 0.375943i | ||||
\(709\) | −1.65867 | −0.0622927 | −0.0311464 | − | 0.999515i | \(-0.509916\pi\) | ||||
−0.0311464 | + | 0.999515i | \(0.509916\pi\) | |||||||
\(710\) | 13.5601 | + | 3.29194i | 0.508903 | + | 0.123544i | ||||
\(711\) | 18.8578i | 0.707221i | ||||||||
\(712\) | −40.5705 | − | 1.54893i | −1.52044 | − | 0.0580488i | ||||
\(713\) | 19.6333 | 0.735272 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.31706 | + | 4.94381i | 0.198847 | + | 0.184888i | ||||
\(716\) | 9.87191 | + | 6.03948i | 0.368931 | + | 0.225706i | ||||
\(717\) | −44.8728 | −1.67580 | ||||||||
\(718\) | −18.0873 | − | 32.2692i | −0.675011 | − | 1.20427i | ||||
\(719\) | 22.1781 | 0.827105 | 0.413552 | − | 0.910480i | \(-0.364288\pi\) | ||||
0.413552 | + | 0.910480i | \(0.364288\pi\) | |||||||
\(720\) | 11.4166 | + | 3.23745i | 0.425471 | + | 0.120652i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −5.99679 | + | 3.36128i | −0.223177 | + | 0.125094i | ||||
\(723\) | 21.6397 | 0.804787 | ||||||||
\(724\) | −2.10121 | − | 1.28549i | −0.0780910 | − | 0.0477748i | ||||
\(725\) | −3.62726 | − | 49.7913i | −0.134713 | − | 1.84920i | ||||
\(726\) | −14.9575 | − | 26.6854i | −0.555125 | − | 0.990387i | ||||
\(727\) | 31.0654i | 1.15215i | 0.817396 | + | 0.576076i | \(0.195417\pi\) | ||||
−0.817396 | + | 0.576076i | \(0.804583\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −6.83323 | −0.253083 | ||||||||
\(730\) | −2.05099 | + | 8.44842i | −0.0759106 | + | 0.312690i | ||||
\(731\) | −38.4187 | −1.42097 | ||||||||
\(732\) | −7.08214 | + | 11.5762i | −0.261763 | + | 0.427869i | ||||
\(733\) | −15.8014 | −0.583638 | −0.291819 | − | 0.956474i | \(-0.594260\pi\) | ||||
−0.291819 | + | 0.956474i | \(0.594260\pi\) | |||||||
\(734\) | −4.52237 | − | 8.06826i | −0.166924 | − | 0.297805i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 8.93466 | + | 5.94608i | 0.329336 | + | 0.219175i | ||||
\(737\) | − | 1.75989i | − | 0.0648263i | ||||||
\(738\) | 2.77499 | + | 4.95081i | 0.102149 | + | 0.182242i | ||||
\(739\) | − | 7.82795i | − | 0.287956i | −0.989581 | − | 0.143978i | \(-0.954011\pi\) | ||
0.989581 | − | 0.143978i | \(-0.0459894\pi\) | |||||||
\(740\) | 14.7198 | − | 4.11696i | 0.541111 | − | 0.151342i | ||||
\(741\) | − | 42.5666i | − | 1.56372i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 37.7406 | 1.38457 | 0.692284 | − | 0.721625i | \(-0.256605\pi\) | ||||
0.692284 | + | 0.721625i | \(0.256605\pi\) | |||||||
\(744\) | −60.8388 | − | 2.32276i | −2.23046 | − | 0.0851564i | ||||
\(745\) | −15.2992 | + | 16.4543i | −0.560519 | + | 0.602838i | ||||
\(746\) | −1.92186 | − | 3.42876i | −0.0703644 | − | 0.125536i | ||||
\(747\) | − | 3.13324i | − | 0.114639i | ||||||
\(748\) | −5.52746 | − | 3.38161i | −0.202104 | − | 0.123644i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −5.41631 | + | 32.4399i | −0.197776 | + | 1.18454i | ||||
\(751\) | 2.75141i | 0.100400i | 0.998739 | + | 0.0502001i | \(0.0159859\pi\) | ||||
−0.998739 | + | 0.0502001i | \(0.984014\pi\) | |||||||
\(752\) | 29.4608 | − | 15.0660i | 1.07433 | − | 0.549400i | ||||
\(753\) | − | 12.5480i | − | 0.457275i | ||||||
\(754\) | −51.6019 | + | 28.9235i | −1.87923 | + | 1.05333i | ||||
\(755\) | −32.5758 | − | 30.2890i | −1.18555 | − | 1.10233i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 19.3492i | − | 0.703257i | −0.936140 | − | 0.351628i | \(-0.885628\pi\) | ||
0.936140 | − | 0.351628i | \(-0.114372\pi\) | |||||||
\(758\) | −4.86796 | − | 8.68484i | −0.176812 | − | 0.315448i | ||||
\(759\) | −3.05864 | −0.111022 | ||||||||
\(760\) | −21.8060 | − | 21.8847i | −0.790988 | − | 0.793841i | ||||
\(761\) | − | 15.2848i | − | 0.554074i | −0.960859 | − | 0.277037i | \(-0.910648\pi\) | ||
0.960859 | − | 0.277037i | \(-0.0893524\pi\) | |||||||
\(762\) | 22.0438 | + | 39.3280i | 0.798564 | + | 1.42470i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 29.7596 | + | 18.2064i | 1.07666 | + | 0.658686i | ||||
\(765\) | 8.44467 | − | 9.08224i | 0.305318 | − | 0.328369i | ||||
\(766\) | 3.90527 | + | 6.96732i | 0.141103 | + | 0.251739i | ||||
\(767\) | −19.3024 | −0.696971 | ||||||||
\(768\) | −26.9829 | − | 19.4825i | −0.973662 | − | 0.703015i | ||||
\(769\) | 8.96913i | 0.323435i | 0.986837 | + | 0.161718i | \(0.0517033\pi\) | ||||
−0.986837 | + | 0.161718i | \(0.948297\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.36893i | 0.121329i | ||||||||
\(772\) | 16.2574 | + | 9.94599i | 0.585115 | + | 0.357964i | ||||
\(773\) | −6.68452 | −0.240426 | −0.120213 | − | 0.992748i | \(-0.538358\pi\) | ||||
−0.120213 | + | 0.992748i | \(0.538358\pi\) | |||||||
\(774\) | 15.0422 | − | 8.43136i | 0.540682 | − | 0.303059i | ||||
\(775\) | −3.75939 | − | 51.6050i | −0.135041 | − | 1.85371i | ||||
\(776\) | 1.55511 | − | 40.7322i | 0.0558251 | − | 1.46220i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −23.6682 | + | 13.2663i | −0.848544 | + | 0.475620i | ||||
\(779\) | − | 14.7756i | − | 0.529391i | ||||||
\(780\) | 37.5305 | − | 10.4968i | 1.34381 | − | 0.375847i |