Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [245,2,Mod(13,245)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(245, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([21, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("245.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 245 = 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 245.s (of order \(28\), degree \(12\), 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: | \(1.95633484952\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 202.4 | ||
Character | \(\chi\) | \(=\) | 245.202 |
Dual form | 245.2.s.a.188.4 |
$q$-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 \(\left(\mathbb{Z}/245\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.19532 | + | 0.247354i | −1.55233 | + | 0.174905i | −0.846079 | − | 0.533057i | \(-0.821043\pi\) |
−0.706250 | + | 0.707963i | \(0.749614\pi\) | |||||||
\(3\) | 0.431359 | + | 1.23275i | 0.249045 | + | 0.711730i | 0.998751 | + | 0.0499594i | \(0.0159092\pi\) |
−0.749706 | + | 0.661771i | \(0.769805\pi\) | |||||||
\(4\) | 2.80841 | − | 0.641001i | 1.40421 | − | 0.320501i | ||||
\(5\) | 2.21325 | + | 0.318608i | 0.989797 | + | 0.142486i | ||||
\(6\) | −1.25190 | − | 2.59960i | −0.511086 | − | 1.06128i | ||||
\(7\) | −0.614798 | − | 2.57333i | −0.232372 | − | 0.972627i | ||||
\(8\) | −1.83633 | + | 0.642561i | −0.649242 | + | 0.227180i | ||||
\(9\) | 1.01188 | − | 0.806951i | 0.337295 | − | 0.268984i | ||||
\(10\) | −4.93762 | − | 0.151992i | −1.56141 | − | 0.0480642i | ||||
\(11\) | 2.84609 | − | 3.56889i | 0.858129 | − | 1.07606i | −0.138195 | − | 0.990405i | \(-0.544130\pi\) |
0.996325 | − | 0.0856553i | \(-0.0272984\pi\) | |||||||
\(12\) | 2.00163 | + | 3.18558i | 0.577821 | + | 0.919596i | ||||
\(13\) | −2.63787 | + | 0.297216i | −0.731613 | + | 0.0824329i | −0.469908 | − | 0.882715i | \(-0.655713\pi\) |
−0.261704 | + | 0.965148i | \(0.584284\pi\) | |||||||
\(14\) | 1.98620 | + | 5.49722i | 0.530835 | + | 1.46919i | ||||
\(15\) | 0.561941 | + | 2.86583i | 0.145093 | + | 0.739954i | ||||
\(16\) | −1.31831 | + | 0.634866i | −0.329578 | + | 0.158716i | ||||
\(17\) | −2.81511 | − | 4.48022i | −0.682765 | − | 1.08661i | −0.990812 | − | 0.135243i | \(-0.956819\pi\) |
0.308048 | − | 0.951371i | \(-0.400324\pi\) | |||||||
\(18\) | −2.02181 | + | 2.02181i | −0.476546 | + | 0.476546i | ||||
\(19\) | 1.22166 | 0.280268 | 0.140134 | − | 0.990133i | \(-0.455247\pi\) | ||||
0.140134 | + | 0.990133i | \(0.455247\pi\) | |||||||
\(20\) | 6.41995 | − | 0.523915i | 1.43554 | − | 0.117151i | ||||
\(21\) | 2.90708 | − | 1.86792i | 0.634377 | − | 0.407614i | ||||
\(22\) | −5.36532 | + | 8.53886i | −1.14389 | + | 1.82049i | ||||
\(23\) | 6.24916 | + | 3.92661i | 1.30304 | + | 0.818755i | 0.991327 | − | 0.131421i | \(-0.0419540\pi\) |
0.311714 | + | 0.950176i | \(0.399097\pi\) | |||||||
\(24\) | −1.58424 | − | 1.98657i | −0.323381 | − | 0.405507i | ||||
\(25\) | 4.79698 | + | 1.41032i | 0.959396 | + | 0.282064i | ||||
\(26\) | 5.71746 | − | 1.30497i | 1.12129 | − | 0.255926i | ||||
\(27\) | 4.74883 | + | 2.98389i | 0.913914 | + | 0.574250i | ||||
\(28\) | −3.37611 | − | 6.83288i | −0.638025 | − | 1.29129i | ||||
\(29\) | 2.84020 | + | 0.648256i | 0.527411 | + | 0.120378i | 0.477932 | − | 0.878397i | \(-0.341387\pi\) |
0.0494793 | + | 0.998775i | \(0.484244\pi\) | |||||||
\(30\) | −1.94252 | − | 6.15243i | −0.354653 | − | 1.12327i | ||||
\(31\) | − | 3.79879i | − | 0.682282i | −0.940012 | − | 0.341141i | \(-0.889187\pi\) | ||
0.940012 | − | 0.341141i | \(-0.110813\pi\) | |||||||
\(32\) | 6.03171 | − | 3.78997i | 1.06627 | − | 0.669979i | ||||
\(33\) | 5.62725 | + | 1.96906i | 0.979578 | + | 0.342769i | ||||
\(34\) | 7.28828 | + | 9.13921i | 1.24993 | + | 1.56736i | ||||
\(35\) | −0.540819 | − | 5.89131i | −0.0914151 | − | 0.995813i | ||||
\(36\) | 2.32453 | − | 2.91487i | 0.387422 | − | 0.485811i | ||||
\(37\) | −9.54677 | + | 5.99863i | −1.56948 | + | 0.986169i | −0.584925 | + | 0.811087i | \(0.698876\pi\) |
−0.984554 | + | 0.175082i | \(0.943981\pi\) | |||||||
\(38\) | −2.68194 | + | 0.302182i | −0.435068 | + | 0.0490204i | ||||
\(39\) | −1.50426 | − | 3.12363i | −0.240875 | − | 0.500181i | ||||
\(40\) | −4.26900 | + | 0.837079i | −0.674988 | + | 0.132354i | ||||
\(41\) | −3.24418 | + | 6.73661i | −0.506656 | + | 1.05208i | 0.478127 | + | 0.878291i | \(0.341316\pi\) |
−0.984783 | + | 0.173791i | \(0.944398\pi\) | |||||||
\(42\) | −5.91995 | + | 4.81977i | −0.913468 | + | 0.743707i | ||||
\(43\) | −2.31140 | + | 6.60560i | −0.352485 | + | 1.00734i | 0.622024 | + | 0.782998i | \(0.286310\pi\) |
−0.974509 | + | 0.224347i | \(0.927975\pi\) | |||||||
\(44\) | 5.70534 | − | 11.8473i | 0.860112 | − | 1.78604i | ||||
\(45\) | 2.49666 | − | 1.46359i | 0.372180 | − | 0.218179i | ||||
\(46\) | −14.6902 | − | 7.07443i | −2.16595 | − | 1.04307i | ||||
\(47\) | −0.542023 | − | 4.81059i | −0.0790622 | − | 0.701697i | −0.969246 | − | 0.246095i | \(-0.920853\pi\) |
0.890184 | − | 0.455602i | \(-0.150576\pi\) | |||||||
\(48\) | −1.35130 | − | 1.35130i | −0.195043 | − | 0.195043i | ||||
\(49\) | −6.24405 | + | 3.16415i | −0.892007 | + | 0.452022i | ||||
\(50\) | −10.8798 | − | 1.90956i | −1.53863 | − | 0.270053i | ||||
\(51\) | 4.30869 | − | 5.40292i | 0.603337 | − | 0.756560i | ||||
\(52\) | −7.21770 | + | 2.52558i | −1.00091 | + | 0.350235i | ||||
\(53\) | 1.46963 | + | 0.923430i | 0.201869 | + | 0.126843i | 0.629173 | − | 0.777265i | \(-0.283394\pi\) |
−0.427304 | + | 0.904108i | \(0.640537\pi\) | |||||||
\(54\) | −11.1633 | − | 5.37597i | −1.51913 | − | 0.731576i | ||||
\(55\) | 7.43620 | − | 6.99206i | 1.00270 | − | 0.942810i | ||||
\(56\) | 2.78250 | + | 4.33045i | 0.371827 | + | 0.578680i | ||||
\(57\) | 0.526974 | + | 1.50600i | 0.0697994 | + | 0.199475i | ||||
\(58\) | −6.39550 | − | 0.720600i | −0.839770 | − | 0.0946194i | ||||
\(59\) | 2.10923 | − | 1.01575i | 0.274599 | − | 0.132240i | −0.291517 | − | 0.956566i | \(-0.594160\pi\) |
0.566115 | + | 0.824326i | \(0.308446\pi\) | |||||||
\(60\) | 3.41516 | + | 7.68822i | 0.440896 | + | 0.992545i | ||||
\(61\) | −5.61368 | − | 1.28128i | −0.718758 | − | 0.164052i | −0.152528 | − | 0.988299i | \(-0.548741\pi\) |
−0.566230 | + | 0.824247i | \(0.691599\pi\) | |||||||
\(62\) | 0.939644 | + | 8.33957i | 0.119335 | + | 1.05913i | ||||
\(63\) | −2.69865 | − | 2.10780i | −0.339999 | − | 0.265558i | ||||
\(64\) | −10.0161 | + | 7.98759i | −1.25201 | + | 0.998448i | ||||
\(65\) | −5.93296 | − | 0.182631i | −0.735893 | − | 0.0226526i | ||||
\(66\) | −12.8407 | − | 2.93080i | −1.58058 | − | 0.360757i | ||||
\(67\) | 5.01866 | + | 5.01866i | 0.613127 | + | 0.613127i | 0.943759 | − | 0.330633i | \(-0.107262\pi\) |
−0.330633 | + | 0.943759i | \(0.607262\pi\) | |||||||
\(68\) | −10.7778 | − | 10.7778i | −1.30700 | − | 1.30700i | ||||
\(69\) | −2.14491 | + | 9.39746i | −0.258217 | + | 1.13132i | ||||
\(70\) | 2.64451 | + | 12.7996i | 0.316079 | + | 1.52984i | ||||
\(71\) | 1.06985 | + | 4.68731i | 0.126968 | + | 0.556281i | 0.997894 | + | 0.0648675i | \(0.0206625\pi\) |
−0.870926 | + | 0.491414i | \(0.836480\pi\) | |||||||
\(72\) | −1.33964 | + | 2.13203i | −0.157878 | + | 0.251262i | ||||
\(73\) | 1.43129 | − | 12.7031i | 0.167520 | − | 1.48678i | −0.575658 | − | 0.817690i | \(-0.695254\pi\) |
0.743179 | − | 0.669093i | \(-0.233317\pi\) | |||||||
\(74\) | 19.4745 | − | 15.5304i | 2.26386 | − | 1.80537i | ||||
\(75\) | 0.330641 | + | 6.52184i | 0.0381792 | + | 0.753078i | ||||
\(76\) | 3.43092 | − | 0.783085i | 0.393554 | − | 0.0898261i | ||||
\(77\) | −10.9337 | − | 5.12979i | −1.24601 | − | 0.584594i | ||||
\(78\) | 4.07498 | + | 6.48530i | 0.461401 | + | 0.734316i | ||||
\(79\) | 10.5964i | 1.19219i | 0.802915 | + | 0.596093i | \(0.203281\pi\) | ||||
−0.802915 | + | 0.596093i | \(0.796719\pi\) | |||||||
\(80\) | −3.12003 | + | 0.985094i | −0.348830 | + | 0.110137i | ||||
\(81\) | −0.765956 | + | 3.35587i | −0.0851062 | + | 0.372875i | ||||
\(82\) | 5.45571 | − | 15.5915i | 0.602482 | − | 1.72179i | ||||
\(83\) | 0.114429 | − | 1.01558i | 0.0125602 | − | 0.111475i | −0.985868 | − | 0.167526i | \(-0.946422\pi\) |
0.998428 | + | 0.0560509i | \(0.0178509\pi\) | |||||||
\(84\) | 6.96694 | − | 7.10934i | 0.760155 | − | 0.775692i | ||||
\(85\) | −4.80312 | − | 10.8128i | −0.520971 | − | 1.17281i | ||||
\(86\) | 3.44035 | − | 15.0732i | 0.370983 | − | 1.62538i | ||||
\(87\) | 0.426004 | + | 3.78089i | 0.0456724 | + | 0.405354i | ||||
\(88\) | −2.93315 | + | 8.38246i | −0.312675 | + | 0.893573i | ||||
\(89\) | −3.98106 | − | 4.99209i | −0.421991 | − | 0.529161i | 0.524706 | − | 0.851283i | \(-0.324175\pi\) |
−0.946698 | + | 0.322123i | \(0.895604\pi\) | |||||||
\(90\) | −5.11895 | + | 3.83062i | −0.539585 | + | 0.403782i | ||||
\(91\) | 2.38659 | + | 6.60537i | 0.250183 | + | 0.692431i | ||||
\(92\) | 20.0672 | + | 7.02181i | 2.09215 | + | 0.732074i | ||||
\(93\) | 4.68297 | − | 1.63864i | 0.485601 | − | 0.169919i | ||||
\(94\) | 2.37983 | + | 10.4267i | 0.245461 | + | 1.07544i | ||||
\(95\) | 2.70384 | + | 0.389231i | 0.277408 | + | 0.0399342i | ||||
\(96\) | 7.27393 | + | 5.80077i | 0.742393 | + | 0.592038i | ||||
\(97\) | 4.29011 | − | 4.29011i | 0.435594 | − | 0.435594i | −0.454932 | − | 0.890526i | \(-0.650336\pi\) |
0.890526 | + | 0.454932i | \(0.150336\pi\) | |||||||
\(98\) | 12.9250 | − | 8.49083i | 1.30563 | − | 0.857704i | ||||
\(99\) | − | 5.90796i | − | 0.593772i | ||||||
\(100\) | 14.3759 | + | 0.885892i | 1.43759 | + | 0.0885892i | ||||
\(101\) | −4.37934 | + | 9.09380i | −0.435761 | + | 0.904867i | 0.561253 | + | 0.827644i | \(0.310319\pi\) |
−0.997014 | + | 0.0772223i | \(0.975395\pi\) | |||||||
\(102\) | −8.12253 | + | 12.9269i | −0.804250 | + | 1.27996i | ||||
\(103\) | −1.03777 | − | 2.96578i | −0.102255 | − | 0.292227i | 0.881378 | − | 0.472411i | \(-0.156616\pi\) |
−0.983633 | + | 0.180184i | \(0.942331\pi\) | |||||||
\(104\) | 4.65303 | − | 2.24078i | 0.456267 | − | 0.219726i | ||||
\(105\) | 7.02924 | − | 3.20797i | 0.685984 | − | 0.313065i | ||||
\(106\) | −3.45473 | − | 1.66371i | −0.335553 | − | 0.161594i | ||||
\(107\) | −0.130365 | + | 1.15702i | −0.0126029 | + | 0.111854i | −0.998439 | − | 0.0558602i | \(-0.982210\pi\) |
0.985836 | + | 0.167714i | \(0.0536385\pi\) | |||||||
\(108\) | 15.2494 | + | 5.33598i | 1.46737 | + | 0.513455i | ||||
\(109\) | −6.02076 | − | 4.80140i | −0.576684 | − | 0.459890i | 0.291196 | − | 0.956663i | \(-0.405947\pi\) |
−0.867881 | + | 0.496773i | \(0.834518\pi\) | |||||||
\(110\) | −14.5954 | + | 17.1892i | −1.39161 | + | 1.63893i | ||||
\(111\) | −11.5129 | − | 9.18124i | −1.09276 | − | 0.871445i | ||||
\(112\) | 2.44421 | + | 3.00214i | 0.230957 | + | 0.283675i | ||||
\(113\) | 3.34046 | + | 0.376379i | 0.314244 | + | 0.0354068i | 0.267678 | − | 0.963508i | \(-0.413744\pi\) |
0.0465658 | + | 0.998915i | \(0.485172\pi\) | |||||||
\(114\) | −1.52939 | − | 3.17582i | −0.143241 | − | 0.297443i | ||||
\(115\) | 12.5799 | + | 10.6816i | 1.17308 | + | 0.996066i | ||||
\(116\) | 8.39197 | 0.779174 | ||||||||
\(117\) | −2.42938 | + | 2.42938i | −0.224596 | + | 0.224596i | ||||
\(118\) | −4.37920 | + | 2.75163i | −0.403138 | + | 0.253308i | ||||
\(119\) | −9.79836 | + | 9.99864i | −0.898215 | + | 0.916574i | ||||
\(120\) | −2.87338 | − | 4.90154i | −0.262303 | − | 0.447447i | ||||
\(121\) | −2.18898 | − | 9.59057i | −0.198999 | − | 0.871870i | ||||
\(122\) | 12.6408 | + | 1.42427i | 1.14444 | + | 0.128948i | ||||
\(123\) | −9.70399 | − | 1.09338i | −0.874979 | − | 0.0985865i | ||||
\(124\) | −2.43503 | − | 10.6686i | −0.218672 | − | 0.958065i | ||||
\(125\) | 10.1676 | + | 4.64975i | 0.909416 | + | 0.415887i | ||||
\(126\) | 6.44580 | + | 3.95978i | 0.574237 | + | 0.352766i | ||||
\(127\) | 18.4197 | − | 11.5739i | 1.63449 | − | 1.02702i | 0.678077 | − | 0.734991i | \(-0.262814\pi\) |
0.956411 | − | 0.292025i | \(-0.0943291\pi\) | |||||||
\(128\) | 9.93860 | − | 9.93860i | 0.878457 | − | 0.878457i | ||||
\(129\) | −9.14012 | −0.804742 | ||||||||
\(130\) | 13.0700 | − | 1.06660i | 1.14631 | − | 0.0935474i | ||||
\(131\) | 4.33636 | + | 9.00454i | 0.378869 | + | 0.786730i | 0.999995 | + | 0.00301970i | \(0.000961203\pi\) |
−0.621126 | + | 0.783711i | \(0.713325\pi\) | |||||||
\(132\) | 17.0658 | + | 1.92285i | 1.48539 | + | 0.167363i | ||||
\(133\) | −0.751074 | − | 3.14373i | −0.0651263 | − | 0.272596i | ||||
\(134\) | −12.2590 | − | 9.77620i | −1.05901 | − | 0.844535i | ||||
\(135\) | 9.55968 | + | 8.11712i | 0.822766 | + | 0.698611i | ||||
\(136\) | 8.04830 | + | 6.41831i | 0.690136 | + | 0.550365i | ||||
\(137\) | −11.4477 | − | 4.00573i | −0.978043 | − | 0.342232i | −0.206527 | − | 0.978441i | \(-0.566216\pi\) |
−0.771517 | + | 0.636209i | \(0.780502\pi\) | |||||||
\(138\) | 2.38427 | − | 21.1610i | 0.202963 | − | 1.80135i | ||||
\(139\) | −10.7055 | − | 5.15550i | −0.908029 | − | 0.437283i | −0.0792465 | − | 0.996855i | \(-0.525251\pi\) |
−0.828782 | + | 0.559572i | \(0.810966\pi\) | |||||||
\(140\) | −5.29518 | − | 16.1985i | −0.447524 | − | 1.36903i | ||||
\(141\) | 5.69646 | − | 2.74327i | 0.479729 | − | 0.231025i | ||||
\(142\) | −3.50808 | − | 10.0255i | −0.294392 | − | 0.841324i | ||||
\(143\) | −6.44688 | + | 10.2602i | −0.539115 | + | 0.857997i | ||||
\(144\) | −0.821674 | + | 1.70622i | −0.0684729 | + | 0.142185i | ||||
\(145\) | 6.07953 | + | 2.33966i | 0.504878 | + | 0.194299i | ||||
\(146\) | 28.2414i | 2.33728i | ||||||||
\(147\) | −6.59405 | − | 6.33248i | −0.543868 | − | 0.522294i | ||||
\(148\) | −22.9661 | + | 22.9661i | −1.88780 | + | 1.88780i | ||||
\(149\) | 10.1189 | + | 8.06959i | 0.828977 | + | 0.661087i | 0.943148 | − | 0.332374i | \(-0.107850\pi\) |
−0.114171 | + | 0.993461i | \(0.536421\pi\) | |||||||
\(150\) | −2.33907 | − | 14.2358i | −0.190984 | − | 1.16235i | ||||
\(151\) | 0.970164 | + | 4.25057i | 0.0789509 | + | 0.345906i | 0.998940 | − | 0.0460383i | \(-0.0146596\pi\) |
−0.919989 | + | 0.391945i | \(0.871802\pi\) | |||||||
\(152\) | −2.24338 | + | 0.784991i | −0.181962 | + | 0.0636712i | ||||
\(153\) | −6.46389 | − | 2.26181i | −0.522574 | − | 0.182857i | ||||
\(154\) | 25.2719 | + | 8.55707i | 2.03647 | + | 0.689548i | ||||
\(155\) | 1.21033 | − | 8.40768i | 0.0972157 | − | 0.675321i | ||||
\(156\) | −6.22684 | − | 7.80821i | −0.498546 | − | 0.625157i | ||||
\(157\) | 0.588512 | − | 1.68187i | 0.0469684 | − | 0.134228i | −0.918010 | − | 0.396557i | \(-0.870205\pi\) |
0.964978 | + | 0.262329i | \(0.0844906\pi\) | |||||||
\(158\) | −2.62105 | − | 23.2625i | −0.208520 | − | 1.85066i | ||||
\(159\) | −0.504423 | + | 2.21002i | −0.0400033 | + | 0.175266i | ||||
\(160\) | 14.5572 | − | 6.46642i | 1.15085 | − | 0.511215i | ||||
\(161\) | 6.26249 | − | 18.4952i | 0.493553 | − | 1.45763i | ||||
\(162\) | 0.851434 | − | 7.55669i | 0.0668950 | − | 0.593710i | ||||
\(163\) | −2.59801 | + | 7.42468i | −0.203492 | + | 0.581546i | −0.999725 | − | 0.0234437i | \(-0.992537\pi\) |
0.796233 | + | 0.604989i | \(0.206823\pi\) | |||||||
\(164\) | −4.79282 | + | 20.9987i | −0.374256 | + | 1.63972i | ||||
\(165\) | 11.8272 | + | 6.15091i | 0.920743 | + | 0.478848i | ||||
\(166\) | 2.25784i | 0.175242i | ||||||||
\(167\) | −8.54608 | − | 13.6010i | −0.661316 | − | 1.05248i | −0.993994 | − | 0.109438i | \(-0.965095\pi\) |
0.332678 | − | 0.943041i | \(-0.392048\pi\) | |||||||
\(168\) | −4.13812 | + | 5.29811i | −0.319263 | + | 0.408758i | ||||
\(169\) | −5.80406 | + | 1.32474i | −0.446466 | + | 0.101903i | ||||
\(170\) | 13.2190 | + | 22.5495i | 1.01385 | + | 1.72947i | ||||
\(171\) | 1.23618 | − | 0.985819i | 0.0945329 | − | 0.0753875i | ||||
\(172\) | −2.25716 | + | 20.0328i | −0.172107 | + | 1.52749i | ||||
\(173\) | −13.1436 | + | 20.9178i | −0.999286 | + | 1.59035i | −0.208721 | + | 0.977975i | \(0.566930\pi\) |
−0.790564 | + | 0.612379i | \(0.790213\pi\) | |||||||
\(174\) | −1.87043 | − | 8.19491i | −0.141797 | − | 0.621254i | ||||
\(175\) | 0.680050 | − | 13.2113i | 0.0514070 | − | 0.998678i | ||||
\(176\) | −1.48628 | + | 6.51180i | −0.112032 | + | 0.490845i | ||||
\(177\) | 2.16201 | + | 2.16201i | 0.162506 | + | 0.162506i | ||||
\(178\) | 9.97453 | + | 9.97453i | 0.747623 | + | 0.747623i | ||||
\(179\) | 6.11063 | + | 1.39471i | 0.456730 | + | 0.104246i | 0.444695 | − | 0.895682i | \(-0.353312\pi\) |
0.0120346 | + | 0.999928i | \(0.496169\pi\) | |||||||
\(180\) | 6.07347 | − | 5.71073i | 0.452690 | − | 0.425652i | ||||
\(181\) | −16.9923 | + | 13.5509i | −1.26303 | + | 1.00723i | −0.263937 | + | 0.964540i | \(0.585021\pi\) |
−0.999088 | + | 0.0426891i | \(0.986408\pi\) | |||||||
\(182\) | −6.87320 | − | 13.9106i | −0.509476 | − | 1.03112i | ||||
\(183\) | −0.842002 | − | 7.47297i | −0.0622426 | − | 0.552418i | ||||
\(184\) | −13.9986 | − | 3.19510i | −1.03199 | − | 0.235546i | ||||
\(185\) | −23.0406 | + | 10.2348i | −1.69398 | + | 0.752478i | ||||
\(186\) | −9.87531 | + | 4.75570i | −0.724093 | + | 0.348705i | ||||
\(187\) | −24.0015 | − | 2.70432i | −1.75516 | − | 0.197759i | ||||
\(188\) | −4.60582 | − | 13.1627i | −0.335914 | − | 0.959986i | ||||
\(189\) | 4.75896 | − | 14.0548i | 0.346163 | − | 1.02234i | ||||
\(190\) | −6.03209 | − | 0.185683i | −0.437614 | − | 0.0134708i | ||||
\(191\) | 4.37663 | + | 2.10767i | 0.316682 | + | 0.152506i | 0.585471 | − | 0.810693i | \(-0.300909\pi\) |
−0.268790 | + | 0.963199i | \(0.586624\pi\) | |||||||
\(192\) | −14.1673 | − | 8.90188i | −1.02243 | − | 0.642438i | ||||
\(193\) | 7.09180 | − | 2.48153i | 0.510479 | − | 0.178624i | −0.0627347 | − | 0.998030i | \(-0.519982\pi\) |
0.573214 | + | 0.819406i | \(0.305696\pi\) | |||||||
\(194\) | −8.35700 | + | 10.4793i | −0.599998 | + | 0.752373i | ||||
\(195\) | −2.33410 | − | 7.39266i | −0.167148 | − | 0.529399i | ||||
\(196\) | −15.5076 | + | 12.8887i | −1.10769 | + | 0.920620i | ||||
\(197\) | 10.1691 | + | 10.1691i | 0.724516 | + | 0.724516i | 0.969522 | − | 0.245005i | \(-0.0787898\pi\) |
−0.245005 | + | 0.969522i | \(0.578790\pi\) | |||||||
\(198\) | 1.46136 | + | 12.9699i | 0.103854 | + | 0.921730i | ||||
\(199\) | −6.61583 | − | 3.18601i | −0.468983 | − | 0.225851i | 0.184439 | − | 0.982844i | \(-0.440953\pi\) |
−0.653422 | + | 0.756993i | \(0.726667\pi\) | |||||||
\(200\) | −9.71507 | + | 0.492530i | −0.686959 | + | 0.0348271i | ||||
\(201\) | −4.02192 | + | 8.35161i | −0.283685 | + | 0.589077i | ||||
\(202\) | 7.36469 | − | 21.0471i | 0.518178 | − | 1.48087i | ||||
\(203\) | −0.0779692 | − | 7.70730i | −0.00547237 | − | 0.540947i | ||||
\(204\) | 8.63728 | − | 17.9355i | 0.604730 | − | 1.25574i | ||||
\(205\) | −9.32653 | + | 13.8762i | −0.651393 | + | 0.969156i | ||||
\(206\) | 3.01184 | + | 6.25415i | 0.209845 | + | 0.435747i | ||||
\(207\) | 9.49201 | − | 1.06949i | 0.659741 | − | 0.0743349i | ||||
\(208\) | 3.28884 | − | 2.06652i | 0.228040 | − | 0.143287i | ||||
\(209\) | 3.47696 | − | 4.35997i | 0.240506 | − | 0.301585i | ||||
\(210\) | −14.6380 | + | 8.78123i | −1.01012 | + | 0.605963i | ||||
\(211\) | −7.59411 | − | 9.52271i | −0.522800 | − | 0.655571i | 0.448401 | − | 0.893833i | \(-0.351994\pi\) |
−0.971201 | + | 0.238262i | \(0.923422\pi\) | |||||||
\(212\) | 4.71924 | + | 1.65133i | 0.324119 | + | 0.113414i | ||||
\(213\) | −5.31680 | + | 3.34077i | −0.364301 | + | 0.228906i | ||||
\(214\) | − | 2.57229i | − | 0.175838i | ||||||
\(215\) | −7.22031 | + | 13.8834i | −0.492421 | + | 0.946842i | ||||
\(216\) | −10.6378 | − | 2.42800i | −0.723809 | − | 0.165205i | ||||
\(217\) | −9.77553 | + | 2.33549i | −0.663606 | + | 0.158543i | ||||
\(218\) | 14.4052 | + | 9.05137i | 0.975641 | + | 0.613036i | ||||
\(219\) | 16.2772 | − | 3.71516i | 1.09991 | − | 0.251047i | ||||
\(220\) | 16.4020 | − | 24.4032i | 1.10582 | − | 1.64526i | ||||
\(221\) | 8.75748 | + | 10.9815i | 0.589092 | + | 0.738698i | ||||
\(222\) | 27.5456 | + | 17.3080i | 1.84874 | + | 1.16164i | ||||
\(223\) | −15.1279 | + | 24.0759i | −1.01304 | + | 1.61224i | −0.247464 | + | 0.968897i | \(0.579597\pi\) |
−0.765575 | + | 0.643346i | \(0.777546\pi\) | |||||||
\(224\) | −13.4611 | − | 13.1915i | −0.899410 | − | 0.881394i | ||||
\(225\) | 5.99205 | − | 2.44384i | 0.399470 | − | 0.162923i | ||||
\(226\) | −7.42648 | −0.494002 | ||||||||
\(227\) | 8.18623 | − | 8.18623i | 0.543339 | − | 0.543339i | −0.381167 | − | 0.924506i | \(-0.624478\pi\) |
0.924506 | + | 0.381167i | \(0.124478\pi\) | |||||||
\(228\) | 2.44531 | + | 3.89169i | 0.161945 | + | 0.257733i | ||||
\(229\) | 12.1060 | − | 5.82992i | 0.799984 | − | 0.385252i | 0.0112115 | − | 0.999937i | \(-0.496431\pi\) |
0.788773 | + | 0.614685i | \(0.210717\pi\) | |||||||
\(230\) | −30.2592 | − | 20.3379i | −1.99523 | − | 1.34104i | ||||
\(231\) | 1.60742 | − | 15.6913i | 0.105760 | − | 1.03241i | ||||
\(232\) | −5.63209 | + | 0.634584i | −0.369765 | + | 0.0416625i | ||||
\(233\) | −12.1856 | − | 19.3932i | −0.798303 | − | 1.27049i | −0.958977 | − | 0.283484i | \(-0.908510\pi\) |
0.160674 | − | 0.987007i | \(-0.448633\pi\) | |||||||
\(234\) | 4.73236 | − | 5.93419i | 0.309364 | − | 0.387930i | ||||
\(235\) | 0.333059 | − | 10.8197i | 0.0217264 | − | 0.705802i | ||||
\(236\) | 5.27249 | − | 4.20467i | 0.343210 | − | 0.273701i | ||||
\(237\) | −13.0627 | + | 4.57084i | −0.848515 | + | 0.296908i | ||||
\(238\) | 19.0374 | − | 24.3739i | 1.23401 | − | 1.57993i | ||||
\(239\) | 4.75053 | + | 9.86457i | 0.307286 | + | 0.638086i | 0.996232 | − | 0.0867266i | \(-0.0276407\pi\) |
−0.688946 | + | 0.724812i | \(0.741926\pi\) | |||||||
\(240\) | −2.56023 | − | 3.42130i | −0.165262 | − | 0.220844i | ||||
\(241\) | −2.47924 | + | 0.565869i | −0.159702 | + | 0.0364508i | −0.301624 | − | 0.953427i | \(-0.597529\pi\) |
0.141923 | + | 0.989878i | \(0.454672\pi\) | |||||||
\(242\) | 7.17780 | + | 20.5130i | 0.461406 | + | 1.31862i | ||||
\(243\) | 12.2523 | − | 1.38050i | 0.785984 | − | 0.0885591i | ||||
\(244\) | −16.5868 | −1.06186 | ||||||||
\(245\) | −14.8278 | + | 5.01367i | −0.947312 | + | 0.320311i | ||||
\(246\) | 21.5739 | 1.37550 | ||||||||
\(247\) | −3.22257 | + | 0.363097i | −0.205048 | + | 0.0231033i | ||||
\(248\) | 2.44095 | + | 6.97585i | 0.155001 | + | 0.442967i | ||||
\(249\) | 1.30132 | − | 0.297018i | 0.0824680 | − | 0.0188228i | ||||
\(250\) | −23.4713 | − | 7.69273i | −1.48445 | − | 0.486531i | ||||
\(251\) | −5.52370 | − | 11.4701i | −0.348653 | − | 0.723985i | 0.650723 | − | 0.759315i | \(-0.274466\pi\) |
−0.999376 | + | 0.0353306i | \(0.988752\pi\) | |||||||
\(252\) | −8.93003 | − | 4.18973i | −0.562539 | − | 0.263928i | ||||
\(253\) | 31.7993 | − | 11.1271i | 1.99921 | − | 0.699553i | ||||
\(254\) | −37.5745 | + | 29.9646i | −2.35763 | + | 1.88015i | ||||
\(255\) | 11.2576 | − | 10.5852i | 0.704980 | − | 0.662874i | ||||
\(256\) | −3.38494 | + | 4.24458i | −0.211558 | + | 0.265286i | ||||
\(257\) | −3.85945 | − | 6.14228i | −0.240746 | − | 0.383145i | 0.704395 | − | 0.709808i | \(-0.251218\pi\) |
−0.945141 | + | 0.326664i | \(0.894076\pi\) | |||||||
\(258\) | 20.0655 | − | 2.26084i | 1.24923 | − | 0.140754i | ||||
\(259\) | 21.3058 | + | 20.8790i | 1.32388 | + | 1.29736i | ||||
\(260\) | −16.7793 | + | 3.29013i | −1.04061 | + | 0.204045i | ||||
\(261\) | 3.39706 | − | 1.63594i | 0.210273 | − | 0.101262i | ||||
\(262\) | −11.7470 | − | 18.6953i | −0.725733 | − | 1.15500i | ||||
\(263\) | −11.1315 | + | 11.1315i | −0.686396 | + | 0.686396i | −0.961434 | − | 0.275037i | \(-0.911310\pi\) |
0.275037 | + | 0.961434i | \(0.411310\pi\) | |||||||
\(264\) | −11.5987 | −0.713854 | ||||||||
\(265\) | 2.95845 | + | 2.51202i | 0.181736 | + | 0.154312i | ||||
\(266\) | 2.42646 | + | 6.71573i | 0.148776 | + | 0.411768i | ||||
\(267\) | 4.43675 | − | 7.06105i | 0.271525 | − | 0.432129i | ||||
\(268\) | 17.3114 | + | 10.8775i | 1.05746 | + | 0.664448i | ||||
\(269\) | −1.24557 | − | 1.56189i | −0.0759435 | − | 0.0952301i | 0.742408 | − | 0.669947i | \(-0.233683\pi\) |
−0.818352 | + | 0.574717i | \(0.805112\pi\) | |||||||
\(270\) | −22.9944 | − | 15.4551i | −1.39939 | − | 0.940567i | ||||
\(271\) | 11.2434 | − | 2.56624i | 0.682989 | − | 0.155888i | 0.133071 | − | 0.991107i | \(-0.457516\pi\) |
0.549918 | + | 0.835219i | \(0.314659\pi\) | |||||||
\(272\) | 6.55554 | + | 4.11912i | 0.397488 | + | 0.249758i | ||||
\(273\) | −7.11332 | + | 5.79136i | −0.430517 | + | 0.350509i | ||||
\(274\) | 26.1223 | + | 5.96223i | 1.57810 | + | 0.360192i | ||||
\(275\) | 18.6859 | − | 13.1060i | 1.12680 | − | 0.790320i | ||||
\(276\) | 27.7668i | 1.67136i | ||||||||
\(277\) | −18.8251 | + | 11.8286i | −1.13109 | + | 0.710712i | −0.961501 | − | 0.274803i | \(-0.911387\pi\) |
−0.169591 | + | 0.985515i | \(0.554245\pi\) | |||||||
\(278\) | 24.7773 | + | 8.66994i | 1.48604 | + | 0.519989i | ||||
\(279\) | −3.06544 | − | 3.84393i | −0.183523 | − | 0.230130i | ||||
\(280\) | 4.77865 | + | 10.4709i | 0.285579 | + | 0.625756i | ||||
\(281\) | −6.09288 | + | 7.64023i | −0.363471 | + | 0.455778i | −0.929617 | − | 0.368527i | \(-0.879862\pi\) |
0.566146 | + | 0.824305i | \(0.308434\pi\) | |||||||
\(282\) | −11.8270 | + | 7.43141i | −0.704289 | + | 0.442534i | ||||
\(283\) | 22.2029 | − | 2.50167i | 1.31983 | − | 0.148709i | 0.576204 | − | 0.817306i | \(-0.304534\pi\) |
0.743625 | + | 0.668597i | \(0.233105\pi\) | |||||||
\(284\) | 6.00914 | + | 12.4781i | 0.356577 | + | 0.740439i | ||||
\(285\) | 0.686501 | + | 3.50107i | 0.0406648 | + | 0.207385i | ||||
\(286\) | 11.6151 | − | 24.1190i | 0.686816 | − | 1.42619i | ||||
\(287\) | 19.3300 | + | 4.20669i | 1.14102 | + | 0.248313i | ||||
\(288\) | 3.04507 | − | 8.70231i | 0.179432 | − | 0.512788i | ||||
\(289\) | −4.77152 | + | 9.90817i | −0.280678 | + | 0.582834i | ||||
\(290\) | −13.9253 | − | 3.63253i | −0.817720 | − | 0.213309i | ||||
\(291\) | 7.13922 | + | 3.43807i | 0.418508 | + | 0.201543i | ||||
\(292\) | −4.12303 | − | 36.5929i | −0.241282 | − | 2.14144i | ||||
\(293\) | 11.3779 | + | 11.3779i | 0.664705 | + | 0.664705i | 0.956485 | − | 0.291780i | \(-0.0942476\pi\) |
−0.291780 | + | 0.956485i | \(0.594248\pi\) | |||||||
\(294\) | 16.0424 | + | 12.2708i | 0.935614 | + | 0.715647i | ||||
\(295\) | 4.99189 | − | 1.57610i | 0.290639 | − | 0.0917640i | ||||
\(296\) | 13.6766 | − | 17.1499i | 0.794934 | − | 0.996816i | ||||
\(297\) | 24.1648 | − | 8.45563i | 1.40218 | − | 0.490645i | ||||
\(298\) | −24.2104 | − | 15.2124i | −1.40247 | − | 0.881232i | ||||
\(299\) | −17.6515 | − | 8.50052i | −1.02081 | − | 0.491598i | ||||
\(300\) | 5.10909 | + | 18.1041i | 0.294973 | + | 1.04524i | ||||
\(301\) | 18.4194 | + | 1.88688i | 1.06168 | + | 0.108758i | ||||
\(302\) | −3.18122 | − | 9.09140i | −0.183059 | − | 0.523151i | ||||
\(303\) | −13.0995 | − | 1.47596i | −0.752545 | − | 0.0847915i | ||||
\(304\) | −1.61053 | + | 0.775590i | −0.0923702 | + | 0.0444831i | ||||
\(305\) | −12.0163 | − | 4.62437i | −0.688049 | − | 0.264791i | ||||
\(306\) | 14.7498 | + | 3.36654i | 0.843190 | + | 0.192453i | ||||
\(307\) | 2.14545 | + | 19.0414i | 0.122447 | + | 1.08675i | 0.893214 | + | 0.449631i | \(0.148445\pi\) |
−0.770767 | + | 0.637117i | \(0.780127\pi\) | |||||||
\(308\) | −33.9945 | − | 7.39804i | −1.93702 | − | 0.421543i | ||||
\(309\) | 3.20842 | − | 2.55863i | 0.182521 | − | 0.145555i | ||||
\(310\) | −0.577386 | + | 18.7570i | −0.0327933 | + | 1.06532i | ||||
\(311\) | −8.21876 | − | 1.87588i | −0.466043 | − | 0.106371i | −0.0169502 | − | 0.999856i | \(-0.505396\pi\) |
−0.449093 | + | 0.893485i | \(0.648253\pi\) | |||||||
\(312\) | 4.76945 | + | 4.76945i | 0.270017 | + | 0.270017i | ||||
\(313\) | 20.4984 | + | 20.4984i | 1.15864 | + | 1.15864i | 0.984769 | + | 0.173868i | \(0.0556267\pi\) |
0.173868 | + | 0.984769i | \(0.444373\pi\) | |||||||
\(314\) | −0.875958 | + | 3.83782i | −0.0494332 | + | 0.216581i | ||||
\(315\) | −5.30124 | − | 5.52491i | −0.298691 | − | 0.311293i | ||||
\(316\) | 6.79229 | + | 29.7590i | 0.382096 | + | 1.67407i | ||||
\(317\) | 8.71183 | − | 13.8648i | 0.489305 | − | 0.778724i | −0.507238 | − | 0.861806i | \(-0.669333\pi\) |
0.996543 | + | 0.0830817i | \(0.0264763\pi\) | |||||||
\(318\) | 0.560715 | − | 4.97648i | 0.0314433 | − | 0.279067i | ||||
\(319\) | 10.3970 | − | 8.29134i | 0.582121 | − | 0.464226i | ||||
\(320\) | −24.7131 | + | 14.4873i | −1.38150 | + | 0.809866i | ||||
\(321\) | −1.48256 | + | 0.338384i | −0.0827483 | + | 0.0188868i | ||||
\(322\) | −9.17333 | + | 42.1521i | −0.511210 | + | 2.34904i | ||||
\(323\) | −3.43911 | − | 5.47331i | −0.191357 | − | 0.304543i | ||||
\(324\) | 9.91564i | 0.550869i | ||||||||
\(325\) | −13.0730 | − | 2.29450i | −0.725157 | − | 0.127276i | ||||
\(326\) | 3.86695 | − | 16.9422i | 0.214170 | − | 0.938342i | ||||
\(327\) | 3.32183 | − | 9.49324i | 0.183697 | − | 0.524977i | ||||
\(328\) | 1.62872 | − | 14.4553i | 0.0899308 | − | 0.798158i | ||||
\(329\) | −12.0460 | + | 4.35234i | −0.664117 | + | 0.239952i | ||||
\(330\) | −27.4859 | − | 10.5778i | −1.51305 | − | 0.582286i | ||||
\(331\) | 3.18871 | − | 13.9706i | 0.175267 | − | 0.767896i | −0.808507 | − | 0.588486i | \(-0.799724\pi\) |
0.983774 | − | 0.179410i | \(-0.0574187\pi\) | |||||||
\(332\) | −0.329627 | − | 2.92552i | −0.0180906 | − | 0.160559i | ||||
\(333\) | −4.81962 | + | 13.7737i | −0.264114 | + | 0.754794i | ||||
\(334\) | 22.1257 | + | 27.7447i | 1.21066 | + | 1.51812i | ||||
\(335\) | 9.50857 | + | 12.7065i | 0.519509 | + | 0.694233i | ||||
\(336\) | −2.64656 | + | 4.30811i | −0.144382 | + | 0.235027i | ||||
\(337\) | 7.36658 | + | 2.57768i | 0.401283 | + | 0.140415i | 0.523372 | − | 0.852104i | \(-0.324674\pi\) |
−0.122089 | + | 0.992519i | \(0.538959\pi\) | |||||||
\(338\) | 12.4141 | − | 4.34389i | 0.675239 | − | 0.236276i | ||||
\(339\) | 0.976953 | + | 4.28031i | 0.0530608 | + | 0.232475i | ||||
\(340\) | −20.4201 | − | 27.2879i | −1.10744 | − | 1.47990i | ||||
\(341\) | −13.5574 | − | 10.8117i | −0.734177 | − | 0.585487i | ||||
\(342\) | −2.46997 | + | 2.46997i | −0.133561 | + | 0.133561i | ||||
\(343\) | 11.9812 | + | 14.1227i | 0.646926 | + | 0.762553i | ||||
\(344\) | − | 13.6153i | − | 0.734088i | ||||||
\(345\) | −7.74133 | + | 20.1156i | −0.416779 | + | 1.08299i | ||||
\(346\) | 23.6803 | − | 49.1726i | 1.27306 | − | 2.64353i | ||||
\(347\) | −2.78343 | + | 4.42980i | −0.149422 | + | 0.237804i | −0.913045 | − | 0.407858i | \(-0.866276\pi\) |
0.763623 | + | 0.645662i | \(0.223419\pi\) | |||||||
\(348\) | 3.61995 | + | 10.3452i | 0.194050 | + | 0.554562i | ||||
\(349\) | −16.5882 | + | 7.98847i | −0.887947 | + | 0.427613i | −0.821521 | − | 0.570178i | \(-0.806874\pi\) |
−0.0664265 | + | 0.997791i | \(0.521160\pi\) | |||||||
\(350\) | 1.77492 | + | 29.1712i | 0.0948737 | + | 1.55927i | ||||
\(351\) | −13.4137 | − | 6.45967i | −0.715968 | − | 0.344792i | ||||
\(352\) | 3.64081 | − | 32.3131i | 0.194056 | − | 1.72229i | ||||
\(353\) | −7.16902 | − | 2.50855i | −0.381568 | − | 0.133517i | 0.132678 | − | 0.991159i | \(-0.457642\pi\) |
−0.514246 | + | 0.857643i | \(0.671928\pi\) | |||||||
\(354\) | −5.28109 | − | 4.21153i | −0.280687 | − | 0.223840i | ||||
\(355\) | 0.874428 | + | 10.7151i | 0.0464098 | + | 0.568696i | ||||
\(356\) | −14.3804 | − | 11.4680i | −0.762159 | − | 0.607801i | ||||
\(357\) | −16.5525 | − | 7.76596i | −0.876049 | − | 0.411018i | ||||
\(358\) | −13.7598 | − | 1.55036i | −0.727228 | − | 0.0819389i | ||||
\(359\) | −9.31851 | − | 19.3501i | −0.491812 | − | 1.02126i | −0.988202 | − | 0.153158i | \(-0.951056\pi\) |
0.496390 | − | 0.868100i | \(-0.334659\pi\) | |||||||
\(360\) | −3.64425 | + | 4.29190i | −0.192069 | + | 0.226203i | ||||
\(361\) | −17.5075 | −0.921450 | ||||||||
\(362\) | 33.9517 | − | 33.9517i | 1.78446 | − | 1.78446i | ||||
\(363\) | 10.8786 | − | 6.83546i | 0.570977 | − | 0.358768i | ||||
\(364\) | 10.9366 | + | 17.0208i | 0.573232 | + | 0.892132i | ||||
\(365\) | 7.21512 | − | 27.6591i | 0.377657 | − | 1.44774i | ||||
\(366\) | 3.69693 | + | 16.1973i | 0.193242 | + | 0.846648i | ||||
\(367\) | −20.9314 | − | 2.35840i | −1.09261 | − | 0.123107i | −0.452778 | − | 0.891623i | \(-0.649567\pi\) |
−0.639830 | + | 0.768516i | \(0.720995\pi\) | |||||||
\(368\) | −10.7312 | − | 1.20912i | −0.559404 | − | 0.0630296i | ||||
\(369\) | 2.15338 | + | 9.43457i | 0.112100 | + | 0.491144i | ||||
\(370\) | 48.0500 | − | 28.1679i | 2.49800 | − | 1.46438i | ||||
\(371\) | 1.47276 | − | 4.34956i | 0.0764621 | − | 0.225818i | ||||
\(372\) | 12.1013 | − | 7.60377i | 0.627424 | − | 0.394237i | ||||
\(373\) | −9.05343 | + | 9.05343i | −0.468769 | + | 0.468769i | −0.901516 | − | 0.432747i | \(-0.857544\pi\) |
0.432747 | + | 0.901516i | \(0.357544\pi\) | |||||||
\(374\) | 53.3600 | 2.75918 | ||||||||
\(375\) | −1.34612 | + | 14.5398i | −0.0695134 | + | 0.750834i | ||||
\(376\) | 4.08643 | + | 8.48557i | 0.210742 | + | 0.437610i | ||||
\(377\) | −7.68473 | − | 0.865861i | −0.395784 | − | 0.0445941i | ||||
\(378\) | −6.97095 | + | 32.0320i | −0.358547 | + | 1.64755i | ||||
\(379\) | −17.9301 | − | 14.2988i | −0.921008 | − | 0.734480i | 0.0433554 | − | 0.999060i | \(-0.486195\pi\) |
−0.964364 | + | 0.264580i | \(0.914767\pi\) | |||||||
\(380\) | 7.84299 | − | 0.640046i | 0.402337 | − | 0.0328337i | ||||
\(381\) | 22.2133 | + | 17.7145i | 1.13802 | + | 0.907541i | ||||
\(382\) | −10.1295 | − | 3.54445i | −0.518268 | − | 0.181350i | ||||
\(383\) | −0.578362 | + | 5.13310i | −0.0295529 | + | 0.262289i | 0.970244 | + | 0.242130i | \(0.0778460\pi\) |
−0.999797 | + | 0.0201595i | \(0.993583\pi\) | |||||||
\(384\) | 16.5389 | + | 7.96474i | 0.844000 | + | 0.406449i | ||||
\(385\) | −22.5646 | − | 14.8371i | −1.15000 | − | 0.756168i | ||||
\(386\) | −14.9550 | + | 7.20194i | −0.761189 | + | 0.366569i | ||||
\(387\) | 2.99153 | + | 8.54929i | 0.152068 | + | 0.434585i | ||||
\(388\) | 9.29841 | − | 14.7983i | 0.472055 | − | 0.751272i | ||||
\(389\) | 4.35223 | − | 9.03749i | 0.220667 | − | 0.458219i | −0.761018 | − | 0.648730i | \(-0.775300\pi\) |
0.981685 | + | 0.190511i | \(0.0610146\pi\) | |||||||
\(390\) | 6.95270 | + | 15.6519i | 0.352064 | + | 0.792567i | ||||
\(391\) | − | 39.0515i | − | 1.97492i | ||||||
\(392\) | 9.43300 | − | 9.82263i | 0.476438 | − | 0.496118i | ||||
\(393\) | −9.22985 | + | 9.22985i | −0.465584 | + | 0.465584i | ||||
\(394\) | −24.8398 | − | 19.8091i | −1.25141 | − | 0.997966i | ||||
\(395\) | −3.37609 | + | 23.4525i | −0.169870 | + | 1.18002i | ||||
\(396\) | −3.78701 | − | 16.5920i | −0.190304 | − | 0.833778i | ||||
\(397\) | 8.48587 | − | 2.96934i | 0.425894 | − | 0.149027i | −0.108817 | − | 0.994062i | \(-0.534706\pi\) |
0.534711 | + | 0.845035i | \(0.320421\pi\) | |||||||
\(398\) | 15.3120 | + | 5.35789i | 0.767519 | + | 0.268567i | ||||
\(399\) | 3.55146 | − | 2.28197i | 0.177796 | − | 0.114241i | ||||
\(400\) | −7.21928 | + | 1.18619i | −0.360964 | + | 0.0593097i | ||||
\(401\) | 8.81306 | + | 11.0512i | 0.440103 | + | 0.551872i | 0.951570 | − | 0.307431i | \(-0.0994693\pi\) |
−0.511467 | + | 0.859303i | \(0.670898\pi\) | |||||||
\(402\) | 6.76363 | − | 19.3293i | 0.337339 | − | 0.964060i | ||||
\(403\) | 1.12906 | + | 10.0207i | 0.0562425 | + | 0.499166i | ||||
\(404\) | −6.46985 | + | 28.3463i | −0.321887 | + | 1.41028i | ||||
\(405\) | −2.76446 | + | 7.18335i | −0.137367 | + | 0.356944i | ||||
\(406\) | 2.07760 | + | 16.9007i | 0.103109 | + | 0.838770i | ||||
\(407\) | −5.76255 | + | 51.1440i | −0.285639 | + | 2.53511i | ||||
\(408\) | −4.44048 | + | 12.6902i | −0.219837 | + | 0.628257i | ||||
\(409\) | −1.88996 | + | 8.28046i | −0.0934526 | + | 0.409443i | −0.999918 | − | 0.0128384i | \(-0.995913\pi\) |
0.906465 | + | 0.422281i | \(0.138770\pi\) | |||||||
\(410\) | 17.0424 | − | 32.7697i | 0.841666 | − | 1.61838i | ||||
\(411\) | − | 15.8401i | − | 0.781335i | ||||||
\(412\) | −4.81555 | − | 7.66391i | −0.237245 | − | 0.377574i | ||||
\(413\) | −3.91062 | − | 4.80327i | −0.192429 | − | 0.236353i | ||||
\(414\) | −20.5735 | + | 4.69577i | −1.01113 | + | 0.230784i | ||||
\(415\) | 0.576833 | − | 2.21128i | 0.0283156 | − | 0.108548i | ||||
\(416\) | −14.7844 | + | 11.7902i | −0.724865 | + | 0.578060i | ||||
\(417\) | 1.73754 | − | 15.4211i | 0.0850878 | − | 0.755175i | ||||
\(418\) | −6.55460 | + | 10.4316i | −0.320596 | + | 0.510225i | ||||
\(419\) | −3.74924 | − | 16.4265i | −0.183162 | − | 0.802487i | −0.980113 | − | 0.198442i | \(-0.936412\pi\) |
0.796950 | − | 0.604045i | \(-0.206445\pi\) | |||||||
\(420\) | 17.6847 | − | 13.5150i | 0.862924 | − | 0.659466i | ||||
\(421\) | −6.18974 | + | 27.1190i | −0.301669 | + | 1.32170i | 0.565937 | + | 0.824449i | \(0.308515\pi\) |
−0.867606 | + | 0.497252i | \(0.834343\pi\) | |||||||
\(422\) | 19.0270 | + | 19.0270i | 0.926221 | + | 0.926221i | ||||
\(423\) | −4.43037 | − | 4.43037i | −0.215412 | − | 0.215412i | ||||
\(424\) | −3.29209 | − | 0.751399i | −0.159878 | − | 0.0364911i | ||||
\(425\) | −7.18547 | − | 25.4617i | −0.348546 | − | 1.23508i | ||||
\(426\) | 10.8458 | − | 8.64921i | 0.525479 | − | 0.419055i | ||||
\(427\) | 0.154107 | + | 15.2336i | 0.00745776 | + | 0.737204i | ||||
\(428\) | 0.375534 | + | 3.33296i | 0.0181521 | + | 0.161105i | ||||
\(429\) | −15.4292 | − | 3.52161i | −0.744927 | − | 0.170025i | ||||
\(430\) | 12.4168 | − | 32.2646i | 0.598792 | − | 1.55594i | ||||
\(431\) | 15.3719 | − | 7.40270i | 0.740437 | − | 0.356576i | −0.0253427 | − | 0.999679i | \(-0.508068\pi\) |
0.765779 | + | 0.643103i | \(0.222353\pi\) | |||||||
\(432\) | −8.15482 | − | 0.918827i | −0.392349 | − | 0.0442071i | ||||
\(433\) | −2.57036 | − | 7.34567i | −0.123524 | − | 0.353010i | 0.865471 | − | 0.500958i | \(-0.167019\pi\) |
−0.988995 | + | 0.147948i | \(0.952733\pi\) | |||||||
\(434\) | 20.8828 | − | 7.54516i | 1.00241 | − | 0.362179i | ||||
\(435\) | −0.261768 | + | 8.50380i | −0.0125508 | + | 0.407726i | ||||
\(436\) | −19.9865 | − | 9.62498i | −0.957178 | − | 0.460953i | ||||
\(437\) | 7.63435 | + | 4.79698i | 0.365201 | + | 0.229471i | ||||
\(438\) | −34.8147 | + | 12.1822i | −1.66351 | + | 0.582088i | ||||
\(439\) | 5.25704 | − | 6.59211i | 0.250905 | − | 0.314624i | −0.640389 | − | 0.768050i | \(-0.721227\pi\) |
0.891294 | + | 0.453426i | \(0.149798\pi\) | |||||||
\(440\) | −9.16252 | + | 17.6180i | −0.436806 | + | 0.839904i | ||||
\(441\) | −3.76494 | + | 8.24040i | −0.179283 | + | 0.392400i | ||||
\(442\) | −21.9418 | − | 21.9418i | −1.04367 | − | 1.04367i | ||||
\(443\) | −2.35229 | − | 20.8771i | −0.111761 | − | 0.991903i | −0.916982 | − | 0.398928i | \(-0.869382\pi\) |
0.805221 | − | 0.592974i | \(-0.202046\pi\) | |||||||
\(444\) | −38.2182 | − | 18.4049i | −1.81375 | − | 0.873458i | ||||
\(445\) | −7.22057 | − | 12.3172i | −0.342288 | − | 0.583889i | ||||
\(446\) | 27.2554 | − | 56.5964i | 1.29058 | − | 2.67992i | ||||
\(447\) | −5.58292 | + | 15.9551i | −0.264063 | + | 0.754648i | ||||
\(448\) | 26.7126 | + | 20.8640i | 1.26205 | + | 0.985732i | ||||
\(449\) | 15.0113 | − | 31.1712i | 0.708426 | − | 1.47106i | −0.166114 | − | 0.986107i | \(-0.553122\pi\) |
0.874540 | − | 0.484954i | \(-0.161164\pi\) | |||||||
\(450\) | −12.5500 | + | 6.84718i | −0.591612 | + | 0.322779i | ||||
\(451\) | 14.8090 | + | 30.7511i | 0.697327 | + | 1.44801i | ||||
\(452\) | 9.62263 | − | 1.08421i | 0.452611 | − | 0.0509970i | ||||
\(453\) | −4.82141 | + | 3.02949i | −0.226530 | + | 0.142338i | ||||
\(454\) | −15.9465 | + | 19.9963i | −0.748408 | + | 0.938474i | ||||
\(455\) | 3.17760 | + | 15.3797i | 0.148968 | + | 0.721014i | ||||
\(456\) | −1.93540 | − | 2.42692i | −0.0906334 | − | 0.113651i | ||||
\(457\) | 13.5211 | + | 4.73123i | 0.632489 | + | 0.221317i | 0.627434 | − | 0.778670i | \(-0.284105\pi\) |
0.00505488 | + | 0.999987i | \(0.498391\pi\) | |||||||
\(458\) | −25.1345 | + | 15.7930i | −1.17446 | + | 0.737959i | ||||
\(459\) | − | 29.6758i | − | 1.38515i | ||||||
\(460\) | 42.1765 | + | 21.9346i | 1.96649 | + | 1.02271i | ||||
\(461\) | 32.5802 | + | 7.43622i | 1.51741 | + | 0.346340i | 0.898448 | − | 0.439080i | \(-0.144695\pi\) |
0.618964 | + | 0.785419i | \(0.287553\pi\) | |||||||
\(462\) | 0.352503 | + | 34.8452i | 0.0163999 | + | 1.62114i | ||||
\(463\) | −8.28959 | − | 5.20870i | −0.385250 | − | 0.242069i | 0.325457 | − | 0.945557i | \(-0.394482\pi\) |
−0.710707 | + | 0.703488i | \(0.751625\pi\) | |||||||
\(464\) | −4.15582 | + | 0.948539i | −0.192929 | + | 0.0440348i | ||||
\(465\) | 10.8867 | − | 2.13470i | 0.504858 | − | 0.0989942i | ||||
\(466\) | 31.5482 | + | 39.5602i | 1.46144 | + | 1.83259i | ||||
\(467\) | 9.87226 | + | 6.20315i | 0.456834 | + | 0.287048i | 0.740724 | − | 0.671809i | \(-0.234482\pi\) |
−0.283891 | + | 0.958857i | \(0.591625\pi\) | |||||||
\(468\) | −5.26545 | + | 8.37992i | −0.243396 | + | 0.387362i | ||||
\(469\) | 9.82920 | − | 16.0001i | 0.453870 | − | 0.738817i | ||||
\(470\) | 1.94513 | + | 23.8352i | 0.0897222 | + | 1.09944i | ||||
\(471\) | 2.32719 | 0.107231 | ||||||||
\(472\) | −3.22057 | + | 3.22057i | −0.148239 | + | 0.148239i | ||||
\(473\) | 16.9962 | + | 27.0493i | 0.781486 | + | 1.24373i | ||||
\(474\) | 27.5463 | − | 13.2656i | 1.26524 | − | 0.609309i | ||||
\(475\) | 5.86027 | + | 1.72293i | 0.268888 | + | 0.0790536i | ||||
\(476\) | −21.1087 | + | 34.3610i | −0.967515 | + | 1.57494i | ||||
\(477\) | 2.23226 | − | 0.251515i | 0.102208 | − | 0.0115161i | ||||
\(478\) | −12.8690 | − | 20.4809i | −0.588614 | − | 0.936773i | ||||
\(479\) | 12.9105 | − | 16.1892i | 0.589894 | − | 0.739703i | −0.393871 | − | 0.919166i | \(-0.628864\pi\) |
0.983765 | + | 0.179462i | \(0.0574358\pi\) | |||||||
\(480\) | 14.2509 | + | 15.1561i | 0.650461 | + | 0.691778i | ||||
\(481\) | 23.4002 | − | 18.6610i | 1.06696 | − | 0.850870i | ||||
\(482\) | 5.30276 | − | 1.85551i | 0.241534 | − | 0.0845164i | ||||
\(483\) | 25.5014 | − | 0.257980i | 1.16036 | − | 0.0117385i | ||||
\(484\) | −12.2951 | − | 25.5311i | −0.558870 | − | 1.16051i | ||||
\(485\) | 10.8620 | − | 8.12823i | 0.493216 | − | 0.369084i | ||||
\(486\) | −26.5563 | + | 6.06129i | −1.20462 | + | 0.274946i | ||||
\(487\) | 8.36756 | + | 23.9131i | 0.379170 | + | 1.08361i | 0.962479 | + | 0.271356i | \(0.0874720\pi\) |
−0.583309 | + | 0.812250i | \(0.698242\pi\) | |||||||
\(488\) | 11.1319 | − | 1.25426i | 0.503917 | − | 0.0567778i | ||||
\(489\) | −10.2735 | −0.464582 | ||||||||
\(490\) | 31.3116 | − | 14.6743i | 1.41452 | − | 0.662919i | ||||
\(491\) | −7.66774 | −0.346040 | −0.173020 | − | 0.984918i | \(-0.555353\pi\) | ||||
−0.173020 | + | 0.984918i | \(0.555353\pi\) | |||||||
\(492\) | −27.9536 | + | 3.14962i | −1.26025 | + | 0.141996i | ||||
\(493\) | −5.09113 | − | 14.5496i | −0.229293 | − | 0.655282i | ||||
\(494\) | 6.98478 | − | 1.59423i | 0.314260 | − | 0.0717279i | ||||
\(495\) | 1.88232 | − | 13.0758i | 0.0846042 | − | 0.587714i | ||||
\(496\) | 2.41172 | + | 5.00799i | 0.108289 | + | 0.224865i | ||||
\(497\) | 11.4042 | − | 5.63481i | 0.511550 | − | 0.252756i | ||||
\(498\) | −2.78336 | + | 0.973939i | −0.124725 | + | 0.0436432i | ||||
\(499\) | 8.30817 | − | 6.62554i | 0.371925 | − | 0.296600i | −0.419634 | − | 0.907694i | \(-0.637841\pi\) |
0.791558 | + | 0.611093i | \(0.209270\pi\) | |||||||
\(500\) | 31.5352 | + | 6.54098i | 1.41030 | + | 0.292522i | ||||
\(501\) | 13.0803 | − | 16.4021i | 0.584383 | − | 0.732793i | ||||
\(502\) | 14.9635 | + | 23.8142i | 0.667852 | + | 1.06288i | ||||
\(503\) | 8.12609 | − | 0.915591i | 0.362325 | − | 0.0408242i | 0.0710742 | − | 0.997471i | \(-0.477357\pi\) |
0.291250 | + | 0.956647i | \(0.405929\pi\) | |||||||
\(504\) | 6.31002 | + | 2.13658i | 0.281071 | + | 0.0951706i | ||||
\(505\) | −12.5899 | + | 18.7316i | −0.560245 | + | 0.833544i | ||||
\(506\) | −67.0575 | + | 32.2932i | −2.98107 | + | 1.43561i | ||||
\(507\) | −4.13671 | − | 6.58354i | −0.183718 | − | 0.292385i | ||||
\(508\) | 44.3113 | − | 44.3113i | 1.96600 | − | 1.96600i | ||||
\(509\) | −12.7907 | −0.566937 | −0.283469 | − | 0.958982i | \(-0.591485\pi\) | ||||
−0.283469 | + | 0.958982i | \(0.591485\pi\) | |||||||
\(510\) | −22.0958 | + | 26.0227i | −0.978420 | + | 1.15230i | ||||
\(511\) | −33.5692 | + | 4.12664i | −1.48501 | + | 0.182552i | ||||
\(512\) | −8.57463 | + | 13.6464i | −0.378948 | + | 0.603093i | ||||
\(513\) | 5.80146 | + | 3.64530i | 0.256141 | + | 0.160944i | ||||
\(514\) | 9.99206 | + | 12.5296i | 0.440731 | + | 0.552659i | ||||
\(515\) | −1.35193 | − | 6.89466i | −0.0595730 | − | 0.303815i | ||||
\(516\) | −25.6692 | + | 5.85883i | −1.13002 | + | 0.257920i | ||||
\(517\) | −18.7111 | − | 11.7570i | −0.822913 | − | 0.517071i | ||||
\(518\) | −51.9376 | − | 40.5662i | −2.28201 | − | 1.78238i | ||||
\(519\) | −31.4561 | − | 7.17966i | −1.38077 | − | 0.315152i | ||||
\(520\) | 11.0123 | − | 3.47692i | 0.482919 | − | 0.152473i | ||||
\(521\) | 27.2350i | 1.19319i | 0.802544 | + | 0.596593i | \(0.203479\pi\) | ||||
−0.802544 | + | 0.596593i | \(0.796521\pi\) | |||||||
\(522\) | −7.05299 | + | 4.43169i | −0.308701 | + | 0.193970i | ||||
\(523\) | −38.8032 | − | 13.5778i | −1.69674 | − | 0.593716i | −0.703598 | − | 0.710598i | \(-0.748424\pi\) |
−0.993146 | + | 0.116882i | \(0.962710\pi\) | |||||||
\(524\) | 17.9502 | + | 22.5088i | 0.784158 | + | 0.983303i | ||||
\(525\) | 16.5796 | − | 4.86046i | 0.723592 | − | 0.212128i | ||||
\(526\) | 21.6838 | − | 27.1906i | 0.945458 | − | 1.18557i | ||||
\(527\) | −17.0194 | + | 10.6940i | −0.741377 | + | 0.465838i | ||||
\(528\) | −8.66856 | + | 0.976712i | −0.377251 | + | 0.0425059i | ||||
\(529\) | 13.6545 | + | 28.3538i | 0.593672 | + | 1.23277i | ||||
\(530\) | −7.11612 | − | 4.78292i | −0.309104 | − | 0.207757i | ||||
\(531\) | 1.31464 | − | 2.72987i | 0.0570504 | − | 0.118466i | ||||
\(532\) | −4.12446 | − | 8.34745i | −0.178818 | − | 0.361908i | ||||
\(533\) | 6.55549 | − | 18.7345i | 0.283950 | − | 0.811482i | ||||
\(534\) | −7.99353 | + | 16.5987i | −0.345914 | + | 0.718298i | ||||
\(535\) | −0.657168 | + | 2.51925i | −0.0284118 | + | 0.108917i | ||||
\(536\) | −12.4407 | − | 5.99114i | −0.537358 | − | 0.258778i | ||||
\(537\) | 0.916540 | + | 8.13452i | 0.0395516 | + | 0.351030i | ||||
\(538\) | 3.12076 | + | 3.12076i | 0.134545 | + | 0.134545i | ||||
\(539\) | −6.47863 | + | 31.2898i | −0.279054 | + | 1.34775i | ||||
\(540\) | 32.0506 | + | 16.6684i | 1.37924 | + | 0.717296i | ||||
\(541\) | 5.87596 | − | 7.36822i | 0.252627 | − | 0.316785i | −0.639305 | − | 0.768953i | \(-0.720778\pi\) |
0.891933 | + | 0.452168i | \(0.149349\pi\) | |||||||
\(542\) | −24.0482 | + | 8.41482i | −1.03296 | + | 0.361447i | ||||
\(543\) | −24.0347 | − | 15.1020i | −1.03143 | − | 0.648088i | ||||
\(544\) | −33.9598 | − | 16.3542i | −1.45602 | − | 0.701181i | ||||
\(545\) | −11.7957 | − | 12.5450i | −0.505272 | − | 0.537367i | ||||
\(546\) | 14.1835 | − | 14.4734i | 0.606999 | − | 0.619405i | ||||
\(547\) | −0.720070 | − | 2.05784i | −0.0307880 | − | 0.0879869i | 0.927464 | − | 0.373914i | \(-0.121984\pi\) |
−0.958252 | + | 0.285927i | \(0.907699\pi\) | |||||||
\(548\) | −34.7175 | − | 3.91173i | −1.48306 | − | 0.167101i | ||||
\(549\) | −6.71433 | + | 3.23345i | −0.286560 | + | 0.138000i | ||||
\(550\) | −37.7799 | + | 33.3939i | −1.61094 | + | 1.42392i | ||||
\(551\) | 3.46975 | + | 0.791948i | 0.147816 | + | 0.0337381i | ||||
\(552\) | −2.09967 | − | 18.6351i | −0.0893680 | − | 0.793163i | ||||
\(553\) | 27.2680 | − | 6.51463i | 1.15955 | − | 0.277030i | ||||
\(554\) | 38.4014 | − | 30.6241i | 1.63152 | − | 1.30109i | ||||
\(555\) | −22.5558 | − | 23.9885i | −0.957439 | − | 1.01826i | ||||
\(556\) | −33.3701 | − | 7.61651i | −1.41521 | − | 0.323012i | ||||
\(557\) | −32.6787 | − | 32.6787i | −1.38464 | − | 1.38464i | −0.836173 | − | 0.548466i | \(-0.815212\pi\) |
−0.548466 | − | 0.836173i | \(-0.684788\pi\) | |||||||
\(558\) | 7.68044 | + | 7.68044i | 0.325139 | + | 0.325139i | ||||
\(559\) | 4.13387 | − | 18.1117i | 0.174844 | − | 0.766042i | ||||
\(560\) | 4.45316 | + | 7.42324i | 0.188180 | + | 0.313689i | ||||
\(561\) | −7.01950 | − | 30.7544i | −0.296363 | − | 1.29845i | ||||
\(562\) | 11.4860 | − | 18.2799i | 0.484508 | − | 0.771090i | ||||
\(563\) | 3.56050 | − | 31.6003i | 0.150057 | − | 1.33179i | −0.662566 | − | 0.749003i | \(-0.730533\pi\) |
0.812623 | − | 0.582789i | \(-0.198039\pi\) | |||||||
\(564\) | 14.2396 | − | 11.3557i | 0.599594 | − | 0.478160i | ||||
\(565\) | 7.27336 | + | 1.89732i | 0.305992 | + | 0.0798208i | ||||
\(566\) | −48.1239 | + | 10.9840i | −2.02280 | + | 0.461690i | ||||
\(567\) | 9.10667 | − | 0.0921256i | 0.382444 | − | 0.00386891i | ||||
\(568\) | −4.97648 | − | 7.92002i | −0.208808 | − | 0.332317i | ||||
\(569\) | 14.6872i | 0.615720i | 0.951432 | + | 0.307860i | \(0.0996128\pi\) | ||||
−0.951432 | + | 0.307860i | \(0.900387\pi\) | |||||||
\(570\) | −2.37309 | − | 7.51617i | −0.0993980 | − | 0.314818i | ||||
\(571\) | −2.00084 | + | 8.76623i | −0.0837324 | + | 0.366855i | −0.999383 | − | 0.0351193i | \(-0.988819\pi\) |
0.915651 | + | 0.401975i | \(0.131676\pi\) | |||||||
\(572\) | −11.5287 | + | 32.9472i | −0.482040 | + | 1.37759i | ||||
\(573\) | −0.710343 | + | 6.30446i | −0.0296750 | + | 0.263373i | ||||
\(574\) | −43.4762 | − | 4.45370i | −1.81466 | − | 0.185894i | ||||
\(575\) | 24.4393 | + | 27.6492i | 1.01919 | + | 1.15305i | ||||
\(576\) | −3.68956 | + | 16.1650i | −0.153732 | + | 0.673543i | ||||
\(577\) | 0.830623 | + | 7.37198i | 0.0345793 | + | 0.306900i | 0.999082 | + | 0.0428284i | \(0.0136369\pi\) |
−0.964503 | + | 0.264071i | \(0.914935\pi\) | |||||||
\(578\) | 8.02422 | − | 22.9319i | 0.333764 | − | 0.953842i | ||||
\(579\) | 6.11823 | + | 7.67201i | 0.254265 | + | 0.318838i | ||||
\(580\) | 18.5735 | + | 2.67375i | 0.771224 | + | 0.111021i | ||||
\(581\) | −2.68378 | + | 0.329915i | −0.111342 | + | 0.0136872i | ||||
\(582\) | −16.5233 | − | 5.78176i | −0.684914 | − | 0.239662i | ||||
\(583\) | 7.47832 | − | 2.61678i | 0.309720 | − | 0.108376i | ||||
\(584\) | 5.53417 | + | 24.2468i | 0.229006 | + | 1.00334i | ||||
\(585\) | −6.15085 | + | 4.60281i | −0.254306 | + | 0.190303i | ||||
\(586\) | −27.7926 | − | 22.1639i | −1.14810 | − | 0.915580i | ||||
\(587\) | 26.7076 | − | 26.7076i | 1.10234 | − | 1.10234i | 0.108214 | − | 0.994128i | \(-0.465487\pi\) |
0.994128 | − | 0.108214i | \(-0.0345131\pi\) | |||||||
\(588\) | −22.5779 | − | 13.5574i | −0.931098 | − | 0.559099i | ||||
\(589\) | − | 4.64083i | − | 0.191222i | ||||||
\(590\) | −10.5690 | + | 4.69481i | −0.435117 | + | 0.193282i | ||||
\(591\) | −8.14943 | + | 16.9225i | −0.335223 | + | 0.696098i | ||||
\(592\) | 8.77730 | − | 13.9690i | 0.360745 | − | 0.574122i | ||||
\(593\) | 10.7200 | + | 30.6361i | 0.440219 | + | 1.25807i | 0.923834 | + | 0.382793i | \(0.125038\pi\) |
−0.483615 | + | 0.875281i | \(0.660676\pi\) | |||||||
\(594\) | −50.9580 | + | 24.5401i | −2.09083 | + | 1.00689i | ||||
\(595\) | −24.8719 | + | 19.0077i | −1.01965 | + | 0.779239i | ||||
\(596\) | 33.5908 | + | 16.1765i | 1.37593 | + | 0.662614i | ||||
\(597\) | 1.07377 | − | 9.53000i | 0.0439466 | − | 0.390037i | ||||
\(598\) | 40.8534 | + | 14.2952i | 1.67062 | + | 0.584576i | ||||
\(599\) | 1.55431 | + | 1.23952i | 0.0635075 | + | 0.0506455i | 0.654729 | − | 0.755864i | \(-0.272783\pi\) |
−0.591222 | + | 0.806509i | \(0.701354\pi\) | |||||||
\(600\) | −4.79785 | − | 11.7638i | −0.195872 | − | 0.480256i | ||||
\(601\) | −15.7962 | − | 12.5971i | −0.644342 | − | 0.513846i | 0.245922 | − | 0.969290i | \(-0.420909\pi\) |
−0.890265 | + | 0.455444i | \(0.849481\pi\) | |||||||
\(602\) | −40.9033 | + | 0.413790i | −1.66710 | + | 0.0168648i | ||||
\(603\) | 9.12811 | + | 1.02849i | 0.371726 | + | 0.0418834i | ||||
\(604\) | 5.44924 | + | 11.3155i | 0.221726 | + | 0.460420i | ||||
\(605\) | −1.78914 | − | 21.9238i | −0.0727390 | − | 0.891329i | ||||
\(606\) | 29.1227 | 1.18303 | ||||||||
\(607\) | −31.7469 | + | 31.7469i | −1.28857 | + | 1.28857i | −0.352910 | + | 0.935657i | \(0.614808\pi\) |
−0.935657 | + | 0.352910i | \(0.885192\pi\) | |||||||
\(608\) | 7.36869 | − | 4.63006i | 0.298840 | − | 0.187774i | ||||
\(609\) | 9.46757 | − | 3.42073i | 0.383645 | − | 0.138615i | ||||
\(610\) | 27.5234 | + | 7.17973i | 1.11439 | + | 0.290699i | ||||
\(611\) | 2.85957 | + | 12.5286i | 0.115686 | + | 0.506853i | ||||
\(612\) | −19.6031 | − | 2.20874i | −0.792407 | − | 0.0892828i | ||||
\(613\) | −28.8727 | − | 3.25317i | −1.16616 | − | 0.131394i | −0.492414 | − | 0.870361i | \(-0.663885\pi\) |
−0.673742 | + | 0.738967i | \(0.735314\pi\) | |||||||
\(614\) | −9.41990 | − | 41.2713i | −0.380156 | − | 1.66557i | ||||
\(615\) | −21.1290 | − | 5.51169i | −0.852004 | − | 0.222253i | ||||
\(616\) | 23.3741 | + | 2.39444i | 0.941770 | + | 0.0964749i | ||||
\(617\) | −0.391492 | + | 0.245990i | −0.0157609 | + | 0.00990320i | −0.539889 | − | 0.841736i | \(-0.681534\pi\) |
0.524129 | + | 0.851639i | \(0.324391\pi\) | |||||||
\(618\) | −6.41064 | + | 6.41064i | −0.257874 | + | 0.257874i | ||||
\(619\) | 39.0772 | 1.57065 | 0.785323 | − | 0.619086i | \(-0.212497\pi\) | ||||
0.785323 | + | 0.619086i | \(0.212497\pi\) | |||||||
\(620\) | −1.99024 | − | 24.3880i | −0.0799301 | − | 0.979447i | ||||
\(621\) | 17.9597 | + | 37.2936i | 0.720697 | + | 1.49654i | ||||
\(622\) | 18.5069 | + | 2.08522i | 0.742057 | + | 0.0836098i | ||||
\(623\) | −10.3987 | + | 13.3137i | −0.416617 | + | 0.533402i | ||||
\(624\) | 3.96617 | + | 3.16292i | 0.158774 | + | 0.126618i | ||||
\(625\) | 21.0220 | + | 13.5306i | 0.840880 | + | 0.541222i | ||||
\(626\) | −50.0710 | − | 39.9303i | −2.00124 | − | 1.59593i | ||||
\(627\) | 6.87458 | + | 2.40552i | 0.274544 | + | 0.0960672i | ||||
\(628\) | 0.574702 | − | 5.10062i | 0.0229331 | − | 0.203537i | ||||
\(629\) | 53.7504 | + | 25.8848i | 2.14317 | + | 1.03210i | ||||
\(630\) | 13.0046 | + | 10.8177i | 0.518114 | + | 0.430987i | ||||
\(631\) | −34.5469 | + | 16.6369i | −1.37529 | + | 0.662304i | −0.967989 | − | 0.250991i | \(-0.919244\pi\) |
−0.407299 | + | 0.913295i | \(0.633529\pi\) | |||||||
\(632\) | −6.80882 | − | 19.4585i | −0.270840 | − | 0.774017i | ||||
\(633\) | 8.46337 | − | 13.4694i | 0.336389 | − | 0.535359i | ||||
\(634\) | −15.6958 | + | 32.5926i | −0.623359 | + | 1.29442i | ||||
\(635\) | 44.4551 | − | 19.7473i | 1.76415 | − | 0.783646i | ||||
\(636\) | 6.52998i | 0.258931i | ||||||||
\(637\) | 15.5305 | − | 10.2024i | 0.615342 | − | 0.404236i | ||||
\(638\) | −20.7739 | + | 20.7739i | −0.822448 | + | 0.822448i | ||||
\(639\) | 4.86499 | + | 3.87970i | 0.192456 | + | 0.153479i | ||||
\(640\) | 25.1632 | − | 18.8301i | 0.994661 | − | 0.744326i | ||||
\(641\) | 0.957136 | + | 4.19348i | 0.0378046 | + | 0.165633i | 0.990306 | − | 0.138900i | \(-0.0443568\pi\) |
−0.952502 | + | 0.304533i | \(0.901500\pi\) | |||||||
\(642\) | 3.17099 | − | 1.10958i | 0.125149 | − | 0.0437916i | ||||
\(643\) | 33.1316 | + | 11.5933i | 1.30658 | + | 0.457193i | 0.891678 | − | 0.452671i | \(-0.149529\pi\) |
0.414906 | + | 0.909864i | \(0.363815\pi\) | |||||||
\(644\) | 5.73217 | − | 55.9564i | 0.225879 | − | 2.20499i | ||||
\(645\) | −20.2294 | − | 2.91212i | −0.796532 | − | 0.114664i | ||||
\(646\) | 8.90380 | + | 11.1650i | 0.350315 | + | 0.439281i | ||||
\(647\) | 2.81379 | − | 8.04134i | 0.110621 | − | 0.316138i | −0.875243 | − | 0.483684i | \(-0.839299\pi\) |
0.985864 | + | 0.167546i | \(0.0535843\pi\) | |||||||
\(648\) | −0.749802 | − | 6.65468i | −0.0294550 | − | 0.261420i | ||||
\(649\) | 2.37796 | − | 10.4185i | 0.0933432 | − | 0.408963i | ||||
\(650\) | 29.2669 | + | 1.80353i | 1.14794 | + | 0.0707402i | ||||
\(651\) | −7.09584 | − | 11.0434i | −0.278108 | − | 0.432824i | ||||
\(652\) | −2.53704 | + | 22.5169i | −0.0993582 | + | 0.881829i | ||||
\(653\) | 0.975271 | − | 2.78716i | 0.0381653 | − | 0.109070i | −0.923224 | − | 0.384262i | \(-0.874456\pi\) |
0.961389 | + | 0.275192i | \(0.0887415\pi\) | |||||||
\(654\) | −4.94430 | + | 21.6624i | −0.193338 | + | 0.847067i | ||||
\(655\) | 6.72854 | + | 21.3109i | 0.262906 | + | 0.832687i | ||||
\(656\) | − | 10.9406i | − | 0.427158i | ||||||
\(657\) | −8.80246 | − | 14.0090i | −0.343417 | − | 0.546545i | ||||
\(658\) | 25.3683 | − | 12.5344i | 0.988959 | − | 0.488643i | ||||
\(659\) | −8.09460 | + | 1.84754i | −0.315321 | + | 0.0719700i | −0.377252 | − | 0.926110i | \(-0.623131\pi\) |
0.0619315 | + | 0.998080i | \(0.480274\pi\) | |||||||
\(660\) | 37.1583 | + | 9.69306i | 1.44638 | + | 0.377302i | ||||
\(661\) | 10.1103 | − | 8.06269i | 0.393245 | − | 0.313602i | −0.406828 | − | 0.913505i | \(-0.633365\pi\) |
0.800073 | + | 0.599902i | \(0.204794\pi\) | |||||||
\(662\) | −3.54456 | + | 31.4588i | −0.137763 | + | 1.22268i | ||||
\(663\) | −9.75990 | + | 15.5328i | −0.379043 | + | 0.603244i | ||||
\(664\) | 0.442445 | + | 1.93848i | 0.0171702 | + | 0.0752275i | ||||
\(665\) | −0.660697 | − | 7.19717i | −0.0256207 | − | 0.279094i | ||||
\(666\) | 7.17367 | − | 31.4299i | 0.277974 | − | 1.21788i | ||||
\(667\) | 15.2034 | + | 15.2034i | 0.588678 | + | 0.588678i | ||||
\(668\) | −32.7192 | − | 32.7192i | −1.26594 | − | 1.26594i | ||||
\(669\) | −36.2052 | − | 8.26361i | −1.39978 | − | 0.319490i | ||||
\(670\) | −24.0174 | − | 25.5430i | −0.927874 | − | 0.986813i | ||||
\(671\) | −20.5498 | + | 16.3879i | −0.793317 | + | 0.632649i | ||||
\(672\) | 10.4553 | − | 22.2845i | 0.403322 | − | 0.859644i | ||||
\(673\) | −5.36595 | − | 47.6241i | −0.206842 | − | 1.83577i | −0.484141 | − | 0.874990i | \(-0.660868\pi\) |
0.277299 | − | 0.960784i | \(-0.410561\pi\) | |||||||
\(674\) | −16.8096 | − | 3.83669i | −0.647483 | − | 0.147784i | ||||
\(675\) | 18.5718 | + | 21.0110i | 0.714829 | + | 0.808715i | ||||
\(676\) | −15.4510 | + | 7.44082i | −0.594270 | + | 0.286185i | ||||
\(677\) | −3.55861 | − | 0.400960i | −0.136769 | − | 0.0154101i | 0.0433147 | − | 0.999061i | \(-0.486208\pi\) |
−0.180083 | + | 0.983651i | \(0.557637\pi\) | |||||||
\(678\) | −3.20348 | − | 9.15502i | −0.123029 | − | 0.351597i | ||||
\(679\) | −13.6774 | − | 8.40231i | −0.524891 | − | 0.322451i | ||||
\(680\) | 15.7680 | + | 16.7696i | 0.604675 | + | 0.643084i | ||||
\(681\) | 13.6228 | + | 6.56040i | 0.522027 | + | 0.251395i | ||||
\(682\) | 32.4373 | + | 20.3817i | 1.24209 | + | 0.780456i | ||||
\(683\) | 18.8041 | − | 6.57986i | 0.719521 | − | 0.251771i | 0.0544129 | − | 0.998519i | \(-0.482671\pi\) |
0.665108 | + | 0.746747i | \(0.268386\pi\) | |||||||
\(684\) | 2.83978 | − | 3.56098i | 0.108582 | − | 0.136157i | ||||
\(685\) | −24.0604 | − | 12.5130i | −0.919301 | − | 0.478098i | ||||
\(686\) | −29.7960 | − | 28.0403i | −1.13762 | − | 1.07058i | ||||
\(687\) | 12.4089 | + | 12.4089i | 0.473428 | + | 0.473428i | ||||
\(688\) | −1.14652 | − | 10.1757i | −0.0437108 | − | 0.387944i | ||||
\(689\) | −4.15115 | − | 1.99909i | −0.158146 | − | 0.0761591i | ||||
\(690\) | 12.0191 | − | 46.0750i | 0.457558 | − | 1.75405i | ||||
\(691\) | −8.33951 | + | 17.3172i | −0.317250 | + | 0.658776i | −0.997224 | − | 0.0744598i | \(-0.976277\pi\) |
0.679974 | + | 0.733236i | \(0.261991\pi\) | |||||||
\(692\) | −23.5041 | + | 67.1709i | −0.893493 | + | 2.55346i | ||||
\(693\) | −15.2031 | + | 3.63220i | −0.577519 | + | 0.137976i | ||||
\(694\) | 5.01480 | − | 10.4133i | 0.190359 | − | 0.395285i | ||||
\(695\) | −22.0514 | − | 14.8213i | −0.836457 | − | 0.562203i | ||||
\(696\) | −3.21174 | − | 6.66925i | −0.121741 | − | 0.252797i | ||||
\(697\) | 39.3142 | − | 4.42965i | 1.48913 | − | 0.167785i | ||||
\(698\) | 34.4406 | − | 21.6404i | 1.30359 | − | 0.819103i | ||||
\(699\) | 18.6507 | − | 23.3872i | 0.705434 | − | 0.884586i | ||||
\(700\) | −6.55858 | − | 37.5386i | −0.247891 | − | 1.41882i | ||||
\(701\) | 21.4937 | + | 26.9522i | 0.811805 | + | 1.01797i | 0.999362 | + | 0.0357177i | \(0.0113717\pi\) |
−0.187557 | + | 0.982254i | \(0.560057\pi\) | |||||||
\(702\) | 31.0451 | + | 10.8632i | 1.17172 | + | 0.410004i | ||||
\(703\) | −11.6629 | + | 7.32829i | −0.439875 | + | 0.276392i | ||||
\(704\) | 58.4798i | 2.20404i | ||||||||
\(705\) | 13.4817 | − | 4.25662i | 0.507752 | − | 0.160313i | ||||
\(706\) | 16.3588 | + | 3.73379i | 0.615672 | + | 0.140523i | ||||
\(707\) | 26.0937 | + | 5.67864i | 0.981356 | + | 0.213567i | ||||
\(708\) | 7.45766 | + | 4.68596i | 0.280276 | + | 0.176109i | ||||
\(709\) | 29.0933 | − | 6.64036i | 1.09262 | − | 0.249384i | 0.362009 | − | 0.932175i | \(-0.382091\pi\) |
0.730614 | + | 0.682790i | \(0.239234\pi\) | |||||||
\(710\) | −4.57006 | − | 23.3067i | −0.171511 | − | 0.874686i | ||||
\(711\) | 8.55076 | + | 10.7223i | 0.320678 | + | 0.402118i | ||||
\(712\) | 10.5183 | + | 6.60907i | 0.394189 | + | 0.247686i | ||||
\(713\) | 14.9164 | − | 23.7392i | 0.558622 | − | 0.889042i | ||||
\(714\) | 38.2590 | + | 12.9545i | 1.43181 | + | 0.484810i | ||||
\(715\) | −17.5376 | + | 20.6543i | −0.655867 | + | 0.772427i | ||||
\(716\) | 18.0552 | 0.674753 | ||||||||
\(717\) | −10.1114 | + | 10.1114i | −0.377617 | + | 0.377617i | ||||
\(718\) | 25.2435 | + | 40.1747i | 0.942078 | + | 1.49931i | ||||
\(719\) | −13.3344 | + | 6.42152i | −0.497290 | + | 0.239482i | −0.665679 | − | 0.746238i | \(-0.731858\pi\) |
0.168389 | + | 0.985721i | \(0.446144\pi\) | |||||||
\(720\) | −2.36219 | + | 3.51451i | −0.0880336 | + | 0.130978i | ||||
\(721\) | −6.99390 | + | 4.49388i | −0.260466 | + | 0.167361i | ||||
\(722\) | 38.4347 | − | 4.33056i | 1.43039 | − | 0.161167i | ||||
\(723\) | −1.76702 | − | 2.81219i | −0.0657161 | − | 0.104587i | ||||
\(724\) | −39.0351 | + | 48.9485i | −1.45073 | + | 1.81916i | ||||
\(725\) | 12.7101 | + | 7.11526i | 0.472041 | + | 0.264254i | ||||
\(726\) | −22.1912 | + | 17.6969i | −0.823593 | + | 0.656794i | ||||
\(727\) | −41.5963 | + | 14.5552i | −1.54272 | + | 0.539821i | −0.961709 | − | 0.274073i | \(-0.911629\pi\) |
−0.581012 | + | 0.813895i | \(0.697343\pi\) | |||||||
\(728\) | −8.62693 | − | 10.5961i | −0.319735 | − | 0.392719i | ||||
\(729\) | 11.4675 | + | 23.8124i | 0.424721 | + | 0.881941i | ||||
\(730\) | −8.99795 | + | 62.5054i | −0.333029 | + | 2.31343i | ||||
\(731\) | 36.1014 | − | 8.23991i | 1.33526 | − | 0.304764i | ||||
\(732\) | −7.15487 | − | 20.4474i | −0.264452 | − | 0.755759i | ||||
\(733\) | −40.4534 | + | 4.55801i | −1.49418 | + | 0.168354i | −0.820917 | − | 0.571048i | \(-0.806537\pi\) |
−0.673265 | + | 0.739401i | \(0.735109\pi\) | |||||||
\(734\) | 46.5345 | 1.71762 | ||||||||
\(735\) | −12.5767 | − | 16.1163i | −0.463899 | − | 0.594459i | ||||
\(736\) | 52.5749 | 1.93794 | ||||||||
\(737\) | 32.1946 | − | 3.62746i | 1.18590 | − | 0.133619i | ||||
\(738\) | −7.06104 | − | 20.1793i | −0.259920 | − | 0.742810i | ||||
\(739\) | 18.6660 | − | 4.26039i | 0.686640 | − | 0.156721i | 0.135053 | − | 0.990838i | \(-0.456880\pi\) |
0.551587 | + | 0.834117i | \(0.314022\pi\) | |||||||
\(740\) | −58.1470 | + | 43.5126i | −2.13753 | + | 1.59956i | ||||
\(741\) | −1.83770 | − | 3.81601i | −0.0675094 | − | 0.140185i | ||||
\(742\) | −2.15731 | + | 9.91300i | −0.0791975 | + | 0.363918i | ||||
\(743\) | −46.4354 | + | 16.2485i | −1.70355 | + | 0.596098i | −0.994081 | − | 0.108639i | \(-0.965351\pi\) |
−0.709469 | + | 0.704737i | \(0.751065\pi\) | |||||||
\(744\) | −7.54657 | + | 6.01819i | −0.276671 | + | 0.220637i | ||||
\(745\) | 19.8248 | + | 21.0840i | 0.726323 | + | 0.772459i | ||||
\(746\) | 17.6358 | − | 22.1146i | 0.645693 | − | 0.809674i | ||||
\(747\) | −0.703737 | − | 1.11999i | −0.0257484 | − | 0.0409783i | ||||
\(748\) | −69.1395 | + | 7.79015i | −2.52799 | + | 0.284836i | ||||
\(749\) | 3.05755 | − | 0.375862i | 0.111720 | − | 0.0137337i | ||||
\(750\) | −0.641311 | − | 32.2526i | −0.0234174 | − | 1.17770i | ||||
\(751\) | −9.72146 | + | 4.68161i | −0.354741 | + | 0.170834i | −0.602763 | − | 0.797920i | \(-0.705934\pi\) |
0.248022 | + | 0.968754i | \(0.420219\pi\) | |||||||
\(752\) | 3.76864 | + | 5.99775i | 0.137428 | + | 0.218715i | ||||
\(753\) | 11.7571 | − | 11.7571i | 0.428452 | − | 0.428452i | ||||
\(754\) | 17.0846 | 0.622186 | ||||||||
\(755\) | 0.792953 | + | 9.71668i | 0.0288585 | + | 0.353626i | ||||
\(756\) | 4.35597 | − | 42.5222i | 0.158425 | − | 1.54652i | ||||
\(757\) | 28.6724 | − | 45.6318i | 1.04211 | − | 1.65852i | 0.349962 | − | 0.936764i | \(-0.386194\pi\) |
0.692152 | − | 0.721752i | \(-0.256663\pi\) | |||||||
\(758\) | 42.8993 | + | 26.9554i | 1.55817 | + | 0.979065i | ||||
\(759\) | 27.4339 | + | 34.4010i | 0.995786 | + | 1.24868i | ||||
\(760\) | −5.21526 | + | 1.02263i | −0.189177 | + | 0.0370945i | ||||
\(761\) | 14.2594 | − | 3.25461i | 0.516902 | − | 0.117979i | 0.0438913 | − | 0.999036i | \(-0.486024\pi\) |
0.473010 | + | 0.881057i | \(0.343167\pi\) | |||||||
\(762\) | −53.1471 | − | 33.3945i | −1.92532 | − | 1.20976i | ||||
\(763\) | −8.65402 | + | 18.4453i | −0.313297 | + | 0.667764i | ||||
\(764\) | 13.6424 | + | 3.11379i | 0.493564 | + | 0.112653i | ||||
\(765\) | −13.5856 | − | 7.06541i | −0.491188 | − | 0.255450i | ||||
\(766\) | − | 11.4119i | − | 0.412328i | ||||||
\(767\) | −5.26197 | + | 3.30632i | −0.189999 | + | 0.119384i | ||||
\(768\) | −6.69264 | − | 2.34185i | −0.241500 | − | 0.0845044i | ||||
\(769\) | −21.4324 | − | 26.8754i | −0.772873 | − | 0.969152i | 0.227116 | − | 0.973868i | \(-0.427070\pi\) |
−0.999989 | + | 0.00471539i | \(0.998499\pi\) | |||||||
\(770\) | 53.2067 | + | 26.9908i | 1.91744 | + | 0.972680i | ||||
\(771\) | 5.90710 | − | 7.40727i | 0.212739 | − | 0.266766i | ||||
\(772\) | 18.3260 | − | 11.5150i | 0.659568 | − | 0.414434i | ||||
\(773\) | −25.7843 | + | 2.90520i | −0.927399 | + | 0.104493i | −0.562726 | − | 0.826643i | \(-0.690248\pi\) |
−0.364672 | + | 0.931136i | \(0.618819\pi\) | |||||||
\(774\) | −8.68207 | − | 18.0285i | −0.312070 | − | 0.648021i | ||||
\(775\) | 5.35751 | − | 18.2227i | 0.192448 | − | 0.654579i | ||||
\(776\) | −5.12141 | + | 10.6347i | −0.183848 | + | 0.381764i | ||||
\(777\) | −16.5483 | + | 35.2711i | −0.593665 | + | 1.26534i | ||||
\(778\) | −7.31909 | + | 20.9168i | −0.262402 | + | 0.749902i | ||||
\(779\) | −3.96329 | + | 8.22985i | −0.141999 | + | 0.294865i | ||||
\(780\) | −11.2938 | − | 19.2655i | −0.404383 | − | 0.689814i | ||||
\(781\) | 19.7734 | + | 9.52235i | 0.707546 | + | 0.340736i | ||||
\(782\) | 9.65953 | + | 85.7307i | 0.345424 | + | 3.06572i | ||||
\(783\) | 11.5533 | + | 11.5533i | 0.412881 | + | 0.412881i | ||||
\(784\) | 6.22279 | − | 8.13548i | 0.222243 | − | 0.290553i | ||||
\(785\) | 1.83838 | − | 3.53490i | 0.0656147 | − | 0.126166i | ||||
\(786\) | 17.9795 | − | 22.5456i | 0.641307 | − | 0.804173i | ||||
\(787\) | 7.35841 | − | 2.57482i | 0.262299 | − | 0.0917823i | −0.195926 | − | 0.980619i | \(-0.562771\pi\) |
0.458225 | + | 0.888836i | \(0.348485\pi\) | |||||||
\(788\) | 35.0773 | + | 22.0405i | 1.24958 | + | 0.785162i | ||||
\(789\) | −18.5240 | − | 8.92070i | −0.659473 | − | 0.317585i | ||||
\(790\) | 1.61057 | − | 52.3209i | 0.0573014 | − | 1.86149i | ||||
\(791\) | −1.08516 | − | 8.82749i | −0.0385838 | − | 0.313869i | ||||
\(792\) | 3.79623 | + | 10.8490i | 0.134893 | + | 0.385502i | ||||
\(793\) | 15.1889 | + | 1.71138i | 0.539375 | + | 0.0607730i | ||||
\(794\) | −17.8948 | + | 8.61767i | −0.635062 | + | 0.305830i | ||||
\(795\) | −1.82055 | + | 4.73062i | −0.0645681 | + | 0.167778i | ||||
\(796\) | −20.6222 | − | 4.70688i | −0.730934 | − | 0.166831i | ||||
\(797\) | 3.45275 | + | 30.6440i | 0.122303 | + | 1.08547i | 0.893560 | + | 0.448943i | \(0.148199\pi\) |
−0.771258 | + | 0.636523i | \(0.780372\pi\) | |||||||
\(798\) | −7.23216 | + | 5.88812i | −0.256016 | + | 0.208437i | ||||
\(799\) | −20.0267 | + | 15.9707i | −0.708492 | + | 0.565004i | ||||
\(800\) | 34.2790 | − | 9.67377i | 1.21195 | − | 0.342019i | ||||
\(801\) | −8.05674 | − | 1.83890i | −0.284671 | − | 0.0649743i | ||||
\(802\) | −22.0811 | − | 22.0811i | −0.779710 | − | 0.779710i | ||||
\(803\) | −41.2623 | − | 41.2623i | −1.45611 | − | 1.45611i | ||||
\(804\) | −5.94182 | + | 26.0328i | −0.209552 | + | 0.918106i | ||||
\(805\) | 19.7532 | − | 38.9393i | 0.696209 | − | 1.37243i | ||||
\(806\) | −4.95731 | − | 21.7194i | −0.174614 | − | 0.765033i | ||||
\(807\) | 1.38814 | − | 2.20921i | 0.0488648 | − | 0.0777679i | ||||
\(808\) | 2.19861 | − | 19.5132i | 0.0773470 | − | 0.686474i | ||||
\(809\) | 30.2296 | − | 24.1073i | 1.06282 | − | 0.847567i | 0.0740817 | − | 0.997252i | \(-0.476397\pi\) |
0.988734 | + | 0.149685i | \(0.0478260\pi\) | |||||||
\(810\) | 4.29206 | − | 16.4536i | 0.150808 | − | 0.578120i | ||||
\(811\) | 29.2694 | − | 6.68055i | 1.02779 | − | 0.234586i | 0.324796 | − | 0.945784i | \(-0.394704\pi\) |
0.702992 | + | 0.711198i | \(0.251847\pi\) | |||||||
\(812\) | −5.15936 | − | 21.5953i | −0.181058 | − | 0.757846i | ||||
\(813\) | 8.01348 | + | 12.7534i | 0.281045 | + | 0.447281i | ||||
\(814\) | − | 113.703i | − | 3.98529i | ||||||
\(815\) | −8.11561 | + | 15.6049i | −0.284278 | + | 0.546617i | ||||
\(816\) | −2.25006 | + | 9.85818i | −0.0787680 | + | 0.345105i | ||||
\(817\) | −2.82374 | + | 8.06979i | −0.0987903 | + | 0.282326i | ||||
\(818\) | 2.10088 | − | 18.6458i | 0.0734554 | − | 0.651935i | ||||
\(819\) | 7.74516 | + | 4.75801i | 0.270638 | + | 0.166258i | ||||
\(820\) | −17.2981 | + | 44.9484i | −0.604075 | + | 1.56967i | ||||
\(821\) | 10.8768 | − | 47.6544i | 0.379603 | − | 1.66315i | −0.319086 | − | 0.947726i | \(-0.603376\pi\) |
0.698689 | − | 0.715425i | \(-0.253767\pi\) | |||||||
\(822\) | 3.91811 | + | 34.7742i | 0.136660 | + | 1.21289i | ||||
\(823\) | −13.6595 | + | 39.0365i | −0.476139 | + | 1.36073i | 0.416165 | + | 0.909289i | \(0.363374\pi\) |
−0.892303 | + | 0.451437i | \(0.850912\pi\) | |||||||
\(824\) | 3.81139 | + | 4.77933i | 0.132776 | + | 0.166496i | ||||
\(825\) | 24.2168 | + | 17.3818i | 0.843120 | + | 0.605155i | ||||
\(826\) | 9.77318 | + | 9.57742i | 0.340052 | + | 0.333241i | ||||
\(827\) | 4.94548 | + | 1.73050i | 0.171971 | + | 0.0601753i | 0.414891 | − | 0.909871i | \(-0.363820\pi\) |
−0.242920 | + | 0.970046i | \(0.578105\pi\) | |||||||
\(828\) | 25.9719 | − | 9.08797i | 0.902587 | − | 0.315829i | ||||
\(829\) | 0.0667148 | + | 0.292296i | 0.00231710 | + | 0.0101519i | 0.976073 | − | 0.217442i | \(-0.0697713\pi\) |
−0.973756 | + | 0.227594i | \(0.926914\pi\) | |||||||
\(830\) | −0.719366 | + | 4.99717i | −0.0249696 | + | 0.173454i | ||||
\(831\) | −22.7021 | − | 18.1043i | −0.787528 | − | 0.628033i | ||||
\(832\) | 24.0471 | − | 24.0471i | 0.833684 | − | 0.833684i | ||||
\(833\) | 31.7538 | + | 19.0673i | 1.10020 | + | 0.660642i | ||||
\(834\) | 34.2841i | 1.18716i | ||||||||
\(835\) | −14.5812 | − | 32.8253i | −0.504605 | − | 1.13597i | ||||
\(836\) | 6.96998 | − | 14.4733i | 0.241062 | − | 0.500570i | ||||
\(837\) | 11.3352 | − | 18.0398i | 0.391801 | − | 0.623547i | ||||
\(838\) | 12.2940 | + | 35.1341i | 0.424688 | + | 1.21369i | ||||
\(839\) | −1.65130 | + | 0.795223i | −0.0570091 | + | 0.0274541i | −0.462171 | − | 0.886791i | \(-0.652929\pi\) |
0.405162 | + | 0.914245i | \(0.367215\pi\) | |||||||
\(840\) | −10.8467 | + | 10.4076i | −0.374248 | + | 0.359097i | ||||
\(841\) | −18.4816 | − | 8.90028i | −0.637297 | − | 0.306906i | ||||
\(842\) | 6.88050 | − | 61.0661i | 0.237118 | − | 2.10448i | ||||
\(843\) | −12.0467 | − | 4.21534i | −0.414912 | − | 0.145184i | ||||
\(844\) | −27.4314 | − | 21.8758i | −0.944229 | − | 0.752998i | ||||
\(845\) | −13.2679 | + | 1.08276i | −0.456431 | + | 0.0372481i | ||||
\(846\) | 10.8220 | + | 8.63024i | 0.372067 | + | 0.296714i | ||||
\(847\) | −23.3339 | + | 11.5292i | −0.801763 | + | 0.396149i | ||||
\(848\) | −2.52369 | − | 0.284351i | −0.0866637 | − | 0.00976466i | ||||
\(849\) | 12.6614 | + | 26.2916i | 0.434538 | + | 0.902327i | ||||
\(850\) | 22.0725 | + | 54.1194i | 0.757080 | + | 1.85628i | ||||
\(851\) | −83.2136 | −2.85253 | ||||||||
\(852\) | −12.7903 | + | 12.7903i | −0.438190 | + | 0.438190i | ||||
\(853\) | 14.0525 | − | 8.82976i | 0.481148 | − | 0.302325i | −0.269532 | − | 0.962991i | \(-0.586869\pi\) |
0.750680 | + | 0.660666i | \(0.229726\pi\) | |||||||
\(854\) | −4.10639 | − | 33.4045i | −0.140518 | − | 1.14308i | ||||
\(855\) | 3.05007 | − | 1.78801i | 0.104310 | − | 0.0611487i | ||||
\(856\) | −0.504064 | − | 2.20845i | −0.0172285 | − | 0.0754832i | ||||
\(857\) | −33.3842 | − | 3.76150i | −1.14038 | − | 0.128490i | −0.478494 | − | 0.878091i | \(-0.658817\pi\) |
−0.661890 | + | 0.749601i | \(0.730246\pi\) | |||||||
\(858\) | 34.7431 | + | 3.91461i | 1.18611 | + | 0.133642i | ||||
\(859\) | −12.9508 | − | 56.7410i | −0.441875 | − | 1.93598i | −0.337042 | − | 0.941490i | \(-0.609426\pi\) |
−0.104833 | − | 0.994490i | \(-0.533431\pi\) | |||||||
\(860\) | −11.3783 | + | 43.6186i | −0.387997 | + | 1.48738i | ||||
\(861\) | 3.15237 | + | 25.6438i | 0.107432 | + | 0.873937i | ||||
\(862\) | −31.9151 | + | 20.0536i | −1.08703 | + | 0.683029i | ||||
\(863\) | 28.0591 | − | 28.0591i | 0.955144 | − | 0.955144i | −0.0438921 | − | 0.999036i | \(-0.513976\pi\) |
0.999036 | + | 0.0438921i | \(0.0139758\pi\) | |||||||
\(864\) | 39.9524 | 1.35921 | ||||||||
\(865\) | −35.7546 | + | 42.1088i | −1.21569 | + | 1.43174i | ||||
\(866\) | 7.45976 | + | 15.4903i | 0.253493 | + | 0.526383i | ||||
\(867\) | −14.2726 | − | 1.60813i | −0.484722 | − | 0.0546150i | ||||
\(868\) | −25.9567 | + | 12.8251i | −0.881026 | + | 0.435313i | ||||
\(869\) | 37.8173 | + | 30.1583i | 1.28286 | + | 1.02305i | ||||
\(870\) | −1.52878 | − | 18.7333i | −0.0518305 | − | 0.635120i | ||||
\(871\) | −14.7302 | − | 11.7469i | −0.499113 | − | 0.398029i | ||||
\(872\) | 14.1413 | + | 4.94826i | 0.478886 | + | 0.167569i | ||||
\(873\) | 0.879187 | − | 7.80300i | 0.0297560 | − | 0.264091i | ||||
\(874\) | −17.9464 | − | 8.64254i | −0.607047 | − | 0.292338i | ||||
\(875\) | 5.71434 | − | 29.0232i | 0.193180 | − | 0.981163i | ||||
\(876\) | 43.3315 | − | 20.8674i | 1.46404 | − | 0.705043i | ||||
\(877\) | −10.5048 | − | 30.0209i | −0.354721 | − | 1.01374i | −0.973602 | − | 0.228251i | \(-0.926699\pi\) |
0.618881 | − | 0.785485i | \(-0.287586\pi\) | |||||||
\(878\) | −9.91032 | + | 15.7722i | −0.334457 | + | 0.532285i | ||||
\(879\) | −9.11820 | + | 18.9341i | −0.307549 | + | 0.638633i | ||||
\(880\) | −5.36422 | + | 13.9387i | −0.180828 | + | 0.469874i | ||||
\(881\) | − | 5.75882i | − | 0.194019i | −0.995283 | − | 0.0970097i | \(-0.969072\pi\) | ||
0.995283 | − | 0.0970097i | \(-0.0309278\pi\) | |||||||
\(882\) | 6.22697 | − | 19.0216i | 0.209673 | − | 0.640491i | ||||
\(883\) | 14.6748 | − | 14.6748i | 0.493847 | − | 0.493847i | −0.415669 | − | 0.909516i | \(-0.636452\pi\) |
0.909516 | + | 0.415669i | \(0.136452\pi\) | |||||||
\(884\) | 31.6338 | + | 25.2271i | 1.06396 | + | 0.848479i | ||||
\(885\) | 4.09624 | + | 5.47390i | 0.137694 | + | 0.184003i | ||||
\(886\) | 10.3281 | + | 45.2502i | 0.346978 | + | 1.52021i | ||||
\(887\) | 44.2016 | − | 15.4668i | 1.48414 | − | 0.519324i | 0.537964 | − | 0.842968i | \(-0.319194\pi\) |
0.946179 | + | 0.323644i | \(0.104908\pi\) | |||||||
\(888\) | 27.0411 | + | 9.46208i | 0.907439 | + | 0.317527i | ||||
\(889\) | −41.1078 | − | 40.2844i | −1.37871 | − | 1.35110i | ||||
\(890\) | 18.8982 | + | 25.2541i | 0.633469 | + | 0.846520i | ||||
\(891\) | 9.79675 | + | 12.2847i | 0.328203 | + | 0.411554i | ||||
\(892\) | −27.0527 | + | 77.3121i | −0.905790 | + | 2.58860i | ||||
\(893\) | −0.662168 | − | 5.87690i | −0.0221586 | − | 0.196663i | ||||
\(894\) | 8.30977 | − | 36.4075i | 0.277920 | − | 1.21765i | ||||
\(895\) | 13.0800 | + | 5.03374i | 0.437216 | + | 0.168260i | ||||
\(896\) | −31.6855 | − | 19.4651i | −1.05854 | − | 0.650282i | ||||
\(897\) | 2.86490 | − | 25.4267i | 0.0956564 | − | 0.848974i | ||||
\(898\) | −25.2443 | + | 72.1440i | −0.842413 | + | 2.40748i | ||||
\(899\) | 2.46259 | − | 10.7893i | 0.0821319 | − | 0.359843i | ||||
\(900\) | 15.2616 | − | 10.7042i | 0.508721 | − | 0.356807i | ||||
\(901\) | − | 9.18383i | − | 0.305958i | ||||||
\(902\) | −40.1169 | − | 63.8457i | −1.33575 | − | 2.12583i | ||||
\(903\) | 5.61932 | + | 23.5205i | 0.186999 | + | 0.782714i | ||||
\(904\) | −6.37604 | + | 1.45529i | −0.212064 | + | 0.0484022i | ||||
\(905\) | −41.9256 | + | 24.5777i | −1.39365 | + | 0.816989i | ||||
\(906\) | 9.83521 | − | 7.84332i | 0.326753 | − | 0.260577i | ||||
\(907\) | −5.15226 | + | 45.7276i | −0.171078 | + | 1.51836i | 0.555640 | + | 0.831423i | \(0.312473\pi\) |
−0.726718 | + | 0.686936i | \(0.758955\pi\) | |||||||
\(908\) | 17.7429 | − | 28.2377i | 0.588819 | − | 0.937101i | ||||
\(909\) | 2.90686 | + | 12.7358i | 0.0964145 | + | 0.422419i | ||||
\(910\) | −10.7801 | − | 32.9775i | −0.357357 | − | 1.09319i | ||||
\(911\) | 8.13355 | − | 35.6354i | 0.269476 | − | 1.18065i | −0.641148 | − | 0.767418i | \(-0.721541\pi\) |
0.910624 | − | 0.413236i | \(-0.135602\pi\) | |||||||
\(912\) | −1.65083 | − | 1.65083i | −0.0546644 | − | 0.0546644i | ||||
\(913\) | −3.29883 | − | 3.29883i | −0.109175 | − | 0.109175i | ||||
\(914\) | −30.8534 | − | 7.04209i | −1.02054 | − | 0.232932i | ||||
\(915\) | 0.517388 | − | 16.8078i | 0.0171043 | − | 0.555650i | ||||
\(916\) | 30.2615 | − | 24.1327i | 0.999868 | − | 0.797368i | ||||
\(917\) | 20.5057 | − | 16.6948i | 0.677157 | − | 0.551312i | ||||
\(918\) | 7.34042 | + | 65.1480i | 0.242270 | + | 2.15021i | ||||
\(919\) | 50.8581 | + | 11.6080i | 1.67765 | + | 0.382914i | 0.952228 | − | 0.305387i | \(-0.0987859\pi\) |
0.725426 | + | 0.688301i | \(0.241643\pi\) | |||||||
\(920\) | −29.9646 | − | 11.5316i | −0.987902 | − | 0.380187i | ||||
\(921\) | −22.5478 | + | 10.8585i | −0.742977 | + | 0.357799i | ||||
\(922\) | −73.3636 | − | 8.26609i | −2.41610 | − | 0.272229i | ||||
\(923\) | −4.21526 | − | 12.0465i | −0.138747 | − | 0.396516i | ||||
\(924\) | −5.54387 | − | 45.0981i | −0.182380 | − | 1.48362i | ||||
\(925\) | −54.2556 | + | 15.3113i | −1.78391 | + | 0.503432i | ||||
\(926\) | 19.4867 | + | 9.38432i | 0.640374 | + | 0.308388i | ||||
\(927\) | −3.44334 | − | 2.16359i | −0.113094 | − | 0.0710617i | ||||
\(928\) | 19.5881 | − | 6.85417i | 0.643011 | − | 0.224999i | ||||
\(929\) | −1.24051 | + | 1.55555i | −0.0406998 | + | 0.0510360i | −0.801765 | − | 0.597640i | \(-0.796105\pi\) |
0.761065 | + | 0.648676i | \(0.224677\pi\) | |||||||
\(930\) | −23.3718 | + | 7.37921i | −0.766390 | + | 0.241974i | ||||
\(931\) | −7.62810 | + | 3.86552i | −0.250001 | + | 0.126687i | ||||
\(932\) | −46.6531 | − | 46.6531i | −1.52817 | − | 1.52817i | ||||
\(933\) | −1.23274 | − | 10.9409i | −0.0403581 | − | 0.358188i | ||||
\(934\) | −23.2072 | − | 11.1760i | −0.759362 | − | 0.365689i | ||||
\(935\) | −52.2597 | − | 13.6324i | −1.70908 | − | 0.445827i | ||||
\(936\) | 2.90013 | − | 6.02217i | 0.0947936 | − | 0.196841i | ||||
\(937\) | −2.68722 | + | 7.67963i | −0.0877876 | + | 0.250882i | −0.979404 | − | 0.201908i | \(-0.935286\pi\) |
0.891617 | + | 0.452791i | \(0.149571\pi\) | |||||||
\(938\) | −17.6206 | + | 37.5567i | −0.575333 | + | 1.22627i | ||||
\(939\) | −16.4273 | + | 34.1116i | −0.536084 | + | 1.11319i | ||||
\(940\) | −6.00010 | − | 30.5998i | −0.195702 | − | 0.998055i | ||||
\(941\) | −10.7751 | − | 22.3747i | −0.351257 | − | 0.729393i | 0.648229 | − | 0.761445i | \(-0.275510\pi\) |
−0.999486 | + | 0.0320525i | \(0.989796\pi\) | |||||||
\(942\) | −5.10894 | + | 0.575640i | −0.166458 | + | 0.0187553i | ||||
\(943\) | −46.7255 | + | 29.3596i | −1.52159 | + | 0.956079i | ||||
\(944\) | −2.13576 | + | 2.67816i | −0.0695131 | + | 0.0871666i | ||||
\(945\) | 15.0108 | − | 29.5906i | 0.488300 | − | 0.962582i | ||||
\(946\) | −44.0029 | − | 55.1779i | −1.43066 | − | 1.79399i | ||||
\(947\) | −8.47617 | − | 2.96594i | −0.275439 | − | 0.0963801i | 0.189025 | − | 0.981972i | \(-0.439467\pi\) |
−0.464464 | + | 0.885592i | \(0.653753\pi\) | |||||||
\(948\) | −33.7556 | + | 21.2100i | −1.09633 | + | 0.688870i | ||||
\(949\) | 33.9344i | 1.10156i | ||||||||
\(950\) | −13.2914 | − | 2.33284i | −0.431229 | − | 0.0756872i | ||||
\(951\) | 20.8498 | + | 4.75883i | 0.676101 | + | 0.154316i | ||||
\(952\) | 11.5683 | − | 24.6569i | 0.374932 | − | 0.799134i | ||||
\(953\) | −11.7077 | − | 7.35642i | −0.379249 | − | 0.238298i | 0.328894 | − | 0.944367i | \(-0.393324\pi\) |
−0.708143 | + | 0.706069i | \(0.750467\pi\) | |||||||
\(954\) | −4.83832 | + | 1.10431i | −0.156646 | + | 0.0357535i | ||||
\(955\) | 9.01506 | + | 6.05924i | 0.291721 | + | 0.196072i | ||||
\(956\) | 19.6646 | + | 24.6587i | 0.635999 | + | 0.797518i | ||||
\(957\) | 14.7060 | + | 9.24041i | 0.475378 | + | 0.298700i | ||||
\(958\) | −24.3382 | + | 38.7340i | −0.786331 | + | 1.25144i | ||||
\(959\) | −3.27003 | + | 31.9214i | −0.105595 | + | 1.03080i | ||||
\(960\) | −28.5195 | − | 24.2159i | −0.920464 | − | 0.781566i | ||||
\(961\) | 16.5692 | 0.534491 | ||||||||
\(962\) | −46.7552 | + | 46.7552i | −1.50745 | + | 1.50745i | ||||
\(963\) | 0.801746 | + | 1.27597i | 0.0258359 | + | 0.0411176i | ||||
\(964\) | −6.59999 | + | 3.17839i | −0.212571 | + | 0.102369i | ||||
\(965\) | 16.4866 | − | 3.23274i | 0.530722 | − | 0.104066i | ||||
\(966\) | −55.9201 | + | 6.87422i | −1.79920 | + | 0.221174i | ||||
\(967\) | −21.7755 | + | 2.45351i | −0.700252 | + | 0.0788994i | −0.454910 | − | 0.890537i | \(-0.650329\pi\) |
−0.245341 | + | 0.969437i | \(0.578900\pi\) | |||||||
\(968\) | 10.1822 | + | 16.2049i | 0.327269 | + | 0.520846i | ||||
\(969\) | 5.26375 | − | 6.60053i | 0.169096 | − | 0.212040i | ||||
\(970\) | −21.8350 | + | 20.5308i | −0.701078 | + | 0.659206i | ||||
\(971\) | 1.25257 | − | 0.998895i | 0.0401970 | − | 0.0320561i | −0.603185 | − | 0.797601i | \(-0.706102\pi\) |
0.643382 | + | 0.765545i | \(0.277531\pi\) | |||||||
\(972\) | 33.5245 | − | 11.7307i | 1.07530 | − | 0.376264i | ||||
\(973\) | −6.68507 | + | 30.7184i | −0.214314 | + | 0.984785i | ||||
\(974\) | −24.2845 | − | 50.4273i | −0.778125 | − | 1.61579i | ||||
\(975\) | −2.81059 | − | 17.1055i | −0.0900108 | − | 0.547814i | ||||
\(976\) | 8.21402 | − | 1.87480i | 0.262924 | − | 0.0600108i | ||||
\(977\) | −12.3386 | − | 35.2618i | −0.394748 | − | 1.12812i | −0.954176 | − | 0.299246i | \(-0.903265\pi\) |
0.559428 | − | 0.828879i | \(-0.311021\pi\) | |||||||
\(978\) | 22.5536 | − | 2.54118i | 0.721185 | − | 0.0812580i | ||||
\(979\) | −29.1467 | −0.931532 | ||||||||
\(980\) | −38.4287 | + | 23.5851i | −1.22756 | + | 0.753397i | ||||
\(981\) | −9.96681 | −0.318216 | ||||||||
\(982\) | 16.8332 | − | 1.89664i | 0.537168 | − | 0.0605243i | ||||
\(983\) | 2.66841 | + | 7.62588i | 0.0851090 | + | 0.243228i | 0.978570 | − | 0.205912i | \(-0.0660162\pi\) |
−0.893461 | + | 0.449140i | \(0.851730\pi\) | |||||||
\(984\) | 18.5223 | − | 4.22760i | 0.590470 | − | 0.134771i | ||||
\(985\) | 19.2668 | + | 25.7467i | 0.613891 | + | 0.820357i | ||||
\(986\) | 14.7756 | + | 30.6818i | 0.470551 | + | 0.977108i | ||||
\(987\) | −10.5615 | − | 12.9723i | −0.336177 | − | 0.412913i | ||||
\(988\) | −8.81757 | + | 3.08540i | −0.280524 | + | 0.0981597i | ||||
\(989\) | −40.3819 | + | 32.2035i | −1.28407 | + | 1.02401i | ||||
\(990\) | −0.897964 | + | 29.1712i | −0.0285392 | + | 0.927123i | ||||
\(991\) | 6.88625 | − | 8.63509i | 0.218749 | − | 0.274303i | −0.660333 | − | 0.750973i | \(-0.729585\pi\) |
0.879082 | + | 0.476670i | \(0.158156\pi\) | |||||||
\(992\) | −14.3973 | − | 22.9132i | −0.457115 | − | 0.727494i | ||||
\(993\) | 18.5978 | − | 2.09547i | 0.590184 | − | 0.0664978i | ||||
\(994\) | −23.6422 | + | 15.1911i | −0.749886 | + | 0.481833i | ||||
\(995\) | −13.6274 | − | 9.15931i | −0.432018 | − | 0.290370i | ||||
\(996\) | 3.46426 | − | 1.66830i | 0.109769 | − | 0.0528621i | ||||
\(997\) | 9.04081 | + | 14.3884i | 0.286325 | + | 0.455684i | 0.958656 | − | 0.284566i | \(-0.0918496\pi\) |
−0.672331 | + | 0.740251i | \(0.734707\pi\) | |||||||
\(998\) | −16.6003 | + | 16.6003i | −0.525473 | + | 0.525473i | ||||
\(999\) | −63.2353 | −2.00068 |
(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 | 245.2.s.a.202.4 | yes | 312 | |
5.3 | odd | 4 | inner | 245.2.s.a.153.23 | ✓ | 312 | |
49.41 | odd | 14 | inner | 245.2.s.a.237.23 | yes | 312 | |
245.188 | even | 28 | inner | 245.2.s.a.188.4 | yes | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
245.2.s.a.153.23 | ✓ | 312 | 5.3 | odd | 4 | inner | |
245.2.s.a.188.4 | yes | 312 | 245.188 | even | 28 | inner | |
245.2.s.a.202.4 | yes | 312 | 1.1 | even | 1 | trivial | |
245.2.s.a.237.23 | yes | 312 | 49.41 | odd | 14 | inner |