Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 31.2 | ||
Character | \(\chi\) | \(=\) | 690.31 |
Dual form | 690.2.m.g.601.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | + | 0.989821i | −0.100632 | + | 0.699909i | ||||
\(3\) | 0.415415 | + | 0.909632i | 0.239840 | + | 0.525176i | ||||
\(4\) | −0.959493 | − | 0.281733i | −0.479746 | − | 0.140866i | ||||
\(5\) | −0.654861 | − | 0.755750i | −0.292863 | − | 0.337981i | ||||
\(6\) | −0.959493 | + | 0.281733i | −0.391711 | + | 0.115017i | ||||
\(7\) | −1.19214 | − | 0.766143i | −0.450587 | − | 0.289575i | 0.295599 | − | 0.955312i | \(-0.404481\pi\) |
−0.746186 | + | 0.665737i | \(0.768117\pi\) | |||||||
\(8\) | 0.415415 | − | 0.909632i | 0.146871 | − | 0.321603i | ||||
\(9\) | −0.654861 | + | 0.755750i | −0.218287 | + | 0.251917i | ||||
\(10\) | 0.841254 | − | 0.540641i | 0.266028 | − | 0.170966i | ||||
\(11\) | 0.577515 | + | 4.01670i | 0.174127 | + | 1.21108i | 0.870050 | + | 0.492964i | \(0.164087\pi\) |
−0.695922 | + | 0.718117i | \(0.745004\pi\) | |||||||
\(12\) | −0.142315 | − | 0.989821i | −0.0410828 | − | 0.285737i | ||||
\(13\) | −3.17730 | + | 2.04193i | −0.881226 | + | 0.566329i | −0.901167 | − | 0.433472i | \(-0.857288\pi\) |
0.0199416 | + | 0.999801i | \(0.493652\pi\) | |||||||
\(14\) | 0.928004 | − | 1.07097i | 0.248020 | − | 0.286230i | ||||
\(15\) | 0.415415 | − | 0.909632i | 0.107260 | − | 0.234866i | ||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | −0.685140 | + | 0.201175i | −0.166171 | + | 0.0487921i | −0.363760 | − | 0.931493i | \(-0.618507\pi\) |
0.197589 | + | 0.980285i | \(0.436689\pi\) | |||||||
\(18\) | −0.654861 | − | 0.755750i | −0.154352 | − | 0.178132i | ||||
\(19\) | −5.06029 | − | 1.48584i | −1.16091 | − | 0.340874i | −0.356124 | − | 0.934439i | \(-0.615902\pi\) |
−0.804786 | + | 0.593565i | \(0.797720\pi\) | |||||||
\(20\) | 0.415415 | + | 0.909632i | 0.0928896 | + | 0.203400i | ||||
\(21\) | 0.201675 | − | 1.40268i | 0.0440090 | − | 0.306089i | ||||
\(22\) | −4.05801 | −0.865170 | ||||||||
\(23\) | −1.59325 | − | 4.52345i | −0.332215 | − | 0.943204i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −0.142315 | + | 0.989821i | −0.0284630 | + | 0.197964i | ||||
\(26\) | −1.56897 | − | 3.43556i | −0.307700 | − | 0.673769i | ||||
\(27\) | −0.959493 | − | 0.281733i | −0.184655 | − | 0.0542195i | ||||
\(28\) | 0.928004 | + | 1.07097i | 0.175376 | + | 0.202395i | ||||
\(29\) | −6.08763 | + | 1.78749i | −1.13044 | + | 0.331929i | −0.792883 | − | 0.609375i | \(-0.791421\pi\) |
−0.337562 | + | 0.941303i | \(0.609602\pi\) | |||||||
\(30\) | 0.841254 | + | 0.540641i | 0.153591 | + | 0.0987071i | ||||
\(31\) | −4.36442 | + | 9.55674i | −0.783873 | + | 1.71644i | −0.0904611 | + | 0.995900i | \(0.528834\pi\) |
−0.693412 | + | 0.720542i | \(0.743893\pi\) | |||||||
\(32\) | −0.654861 | + | 0.755750i | −0.115764 | + | 0.133599i | ||||
\(33\) | −3.41381 | + | 2.19392i | −0.594268 | + | 0.381913i | ||||
\(34\) | −0.101622 | − | 0.706796i | −0.0174280 | − | 0.121215i | ||||
\(35\) | 0.201675 | + | 1.40268i | 0.0340892 | + | 0.237096i | ||||
\(36\) | 0.841254 | − | 0.540641i | 0.140209 | − | 0.0901068i | ||||
\(37\) | 1.24849 | − | 1.44083i | 0.205250 | − | 0.236871i | −0.643787 | − | 0.765205i | \(-0.722638\pi\) |
0.849037 | + | 0.528334i | \(0.177183\pi\) | |||||||
\(38\) | 2.19087 | − | 4.79733i | 0.355405 | − | 0.778229i | ||||
\(39\) | −3.17730 | − | 2.04193i | −0.508776 | − | 0.326970i | ||||
\(40\) | −0.959493 | + | 0.281733i | −0.151709 | + | 0.0445458i | ||||
\(41\) | −7.44001 | − | 8.58623i | −1.16193 | − | 1.34094i | −0.929715 | − | 0.368279i | \(-0.879947\pi\) |
−0.232219 | − | 0.972664i | \(-0.574598\pi\) | |||||||
\(42\) | 1.35970 | + | 0.399244i | 0.209806 | + | 0.0616046i | ||||
\(43\) | −0.495831 | − | 1.08572i | −0.0756135 | − | 0.165570i | 0.868050 | − | 0.496476i | \(-0.165373\pi\) |
−0.943664 | + | 0.330906i | \(0.892646\pi\) | |||||||
\(44\) | 0.577515 | − | 4.01670i | 0.0870636 | − | 0.605541i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | 4.70415 | − | 0.933277i | 0.693589 | − | 0.137604i | ||||
\(47\) | 6.23833 | 0.909954 | 0.454977 | − | 0.890503i | \(-0.349648\pi\) | ||||
0.454977 | + | 0.890503i | \(0.349648\pi\) | |||||||
\(48\) | −0.142315 | + | 0.989821i | −0.0205414 | + | 0.142868i | ||||
\(49\) | −2.07368 | − | 4.54072i | −0.296240 | − | 0.648675i | ||||
\(50\) | −0.959493 | − | 0.281733i | −0.135693 | − | 0.0398430i | ||||
\(51\) | −0.467613 | − | 0.539654i | −0.0654789 | − | 0.0755666i | ||||
\(52\) | 3.62388 | − | 1.06407i | 0.502542 | − | 0.147560i | ||||
\(53\) | 10.2844 | + | 6.60938i | 1.41267 | + | 0.907868i | 0.999995 | − | 0.00301117i | \(-0.000958487\pi\) |
0.412674 | + | 0.910879i | \(0.364595\pi\) | |||||||
\(54\) | 0.415415 | − | 0.909632i | 0.0565308 | − | 0.123785i | ||||
\(55\) | 2.65743 | − | 3.06684i | 0.358328 | − | 0.413532i | ||||
\(56\) | −1.19214 | + | 0.766143i | −0.159307 | + | 0.102380i | ||||
\(57\) | −0.750557 | − | 5.22024i | −0.0994137 | − | 0.691438i | ||||
\(58\) | −0.902936 | − | 6.28006i | −0.118561 | − | 0.824612i | ||||
\(59\) | 10.2213 | − | 6.56883i | 1.33070 | − | 0.855189i | 0.334509 | − | 0.942392i | \(-0.391429\pi\) |
0.996190 | + | 0.0872037i | \(0.0277931\pi\) | |||||||
\(60\) | −0.654861 | + | 0.755750i | −0.0845422 | + | 0.0975669i | ||||
\(61\) | −4.37254 | + | 9.57452i | −0.559846 | + | 1.22589i | 0.392184 | + | 0.919887i | \(0.371720\pi\) |
−0.952030 | + | 0.306005i | \(0.901008\pi\) | |||||||
\(62\) | −8.83835 | − | 5.68006i | −1.12247 | − | 0.721368i | ||||
\(63\) | 1.35970 | − | 0.399244i | 0.171306 | − | 0.0503000i | ||||
\(64\) | −0.654861 | − | 0.755750i | −0.0818576 | − | 0.0944687i | ||||
\(65\) | 3.62388 | + | 1.06407i | 0.449487 | + | 0.131981i | ||||
\(66\) | −1.68576 | − | 3.69129i | −0.207502 | − | 0.454367i | ||||
\(67\) | −1.53988 | + | 10.7101i | −0.188126 | + | 1.30845i | 0.648727 | + | 0.761021i | \(0.275302\pi\) |
−0.836853 | + | 0.547427i | \(0.815607\pi\) | |||||||
\(68\) | 0.714064 | 0.0865930 | ||||||||
\(69\) | 3.45281 | − | 3.32838i | 0.415670 | − | 0.400689i | ||||
\(70\) | −1.41710 | −0.169376 | ||||||||
\(71\) | −1.76050 | + | 12.2446i | −0.208933 | + | 1.45316i | 0.567713 | + | 0.823226i | \(0.307828\pi\) |
−0.776647 | + | 0.629937i | \(0.783081\pi\) | |||||||
\(72\) | 0.415415 | + | 0.909632i | 0.0489571 | + | 0.107201i | ||||
\(73\) | −2.26681 | − | 0.665597i | −0.265310 | − | 0.0779022i | 0.146372 | − | 0.989230i | \(-0.453240\pi\) |
−0.411682 | + | 0.911327i | \(0.635059\pi\) | |||||||
\(74\) | 1.24849 | + | 1.44083i | 0.145134 | + | 0.167493i | ||||
\(75\) | −0.959493 | + | 0.281733i | −0.110793 | + | 0.0325317i | ||||
\(76\) | 4.43670 | + | 2.85130i | 0.508925 | + | 0.327066i | ||||
\(77\) | 2.38889 | − | 5.23094i | 0.272239 | − | 0.596120i | ||||
\(78\) | 2.47332 | − | 2.85437i | 0.280049 | − | 0.323193i | ||||
\(79\) | −6.51708 | + | 4.18827i | −0.733229 | + | 0.471218i | −0.853216 | − | 0.521558i | \(-0.825351\pi\) |
0.119987 | + | 0.992775i | \(0.461715\pi\) | |||||||
\(80\) | −0.142315 | − | 0.989821i | −0.0159113 | − | 0.110665i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | 9.55765 | − | 6.14233i | 1.05547 | − | 0.678307i | ||||
\(83\) | 11.2250 | − | 12.9543i | 1.23210 | − | 1.42192i | 0.359749 | − | 0.933049i | \(-0.382862\pi\) |
0.872355 | − | 0.488874i | \(-0.162592\pi\) | |||||||
\(84\) | −0.588685 | + | 1.28904i | −0.0642308 | + | 0.140646i | ||||
\(85\) | 0.600709 | + | 0.386052i | 0.0651560 | + | 0.0418732i | ||||
\(86\) | 1.14523 | − | 0.336270i | 0.123493 | − | 0.0362609i | ||||
\(87\) | −4.15485 | − | 4.79496i | −0.445447 | − | 0.514073i | ||||
\(88\) | 3.89363 | + | 1.14327i | 0.415062 | + | 0.121873i | ||||
\(89\) | −3.42073 | − | 7.49036i | −0.362597 | − | 0.793976i | −0.999730 | − | 0.0232229i | \(-0.992607\pi\) |
0.637133 | − | 0.770754i | \(-0.280120\pi\) | |||||||
\(90\) | −0.142315 | + | 0.989821i | −0.0150013 | + | 0.104336i | ||||
\(91\) | 5.35221 | 0.561064 | ||||||||
\(92\) | 0.254308 | + | 4.78908i | 0.0265134 | + | 0.499297i | ||||
\(93\) | −10.5062 | −1.08944 | ||||||||
\(94\) | −0.887807 | + | 6.17483i | −0.0915703 | + | 0.636885i | ||||
\(95\) | 2.19087 | + | 4.79733i | 0.224778 | + | 0.492195i | ||||
\(96\) | −0.959493 | − | 0.281733i | −0.0979278 | − | 0.0287542i | ||||
\(97\) | 1.48686 | + | 1.71593i | 0.150968 | + | 0.174226i | 0.826196 | − | 0.563383i | \(-0.190500\pi\) |
−0.675228 | + | 0.737609i | \(0.735955\pi\) | |||||||
\(98\) | 4.78962 | − | 1.40636i | 0.483825 | − | 0.142064i | ||||
\(99\) | −3.41381 | − | 2.19392i | −0.343101 | − | 0.220498i | ||||
\(100\) | 0.415415 | − | 0.909632i | 0.0415415 | − | 0.0909632i | ||||
\(101\) | −10.8581 | + | 12.5309i | −1.08042 | + | 1.24687i | −0.113024 | + | 0.993592i | \(0.536054\pi\) |
−0.967394 | + | 0.253276i | \(0.918492\pi\) | |||||||
\(102\) | 0.600709 | − | 0.386052i | 0.0594791 | − | 0.0382249i | ||||
\(103\) | 1.58152 | + | 10.9997i | 0.155832 | + | 1.08383i | 0.906211 | + | 0.422825i | \(0.138962\pi\) |
−0.750380 | + | 0.661007i | \(0.770129\pi\) | |||||||
\(104\) | 0.537504 | + | 3.73843i | 0.0527066 | + | 0.366583i | ||||
\(105\) | −1.19214 | + | 0.766143i | −0.116341 | + | 0.0747679i | ||||
\(106\) | −8.00572 | + | 9.23910i | −0.777585 | + | 0.897380i | ||||
\(107\) | 6.22630 | − | 13.6337i | 0.601919 | − | 1.31802i | −0.326047 | − | 0.945354i | \(-0.605717\pi\) |
0.927966 | − | 0.372665i | \(-0.121556\pi\) | |||||||
\(108\) | 0.841254 | + | 0.540641i | 0.0809497 | + | 0.0520232i | ||||
\(109\) | −5.32138 | + | 1.56250i | −0.509695 | + | 0.149660i | −0.526461 | − | 0.850199i | \(-0.676481\pi\) |
0.0167654 | + | 0.999859i | \(0.494663\pi\) | |||||||
\(110\) | 2.65743 | + | 3.06684i | 0.253376 | + | 0.292411i | ||||
\(111\) | 1.82927 | + | 0.537121i | 0.173626 | + | 0.0509813i | ||||
\(112\) | −0.588685 | − | 1.28904i | −0.0556255 | − | 0.121803i | ||||
\(113\) | −0.667574 | + | 4.64308i | −0.0628001 | + | 0.436784i | 0.934028 | + | 0.357200i | \(0.116268\pi\) |
−0.996828 | + | 0.0795846i | \(0.974641\pi\) | |||||||
\(114\) | 5.27392 | 0.493948 | ||||||||
\(115\) | −2.37524 | + | 4.16632i | −0.221492 | + | 0.388512i | ||||
\(116\) | 6.34463 | 0.589085 | ||||||||
\(117\) | 0.537504 | − | 3.73843i | 0.0496923 | − | 0.345618i | ||||
\(118\) | 5.04733 | + | 11.0521i | 0.464644 | + | 1.01743i | ||||
\(119\) | 0.970912 | + | 0.285086i | 0.0890034 | + | 0.0261337i | ||||
\(120\) | −0.654861 | − | 0.755750i | −0.0597803 | − | 0.0689902i | ||||
\(121\) | −5.24595 | + | 1.54035i | −0.476904 | + | 0.140032i | ||||
\(122\) | −8.85479 | − | 5.69063i | −0.801675 | − | 0.515205i | ||||
\(123\) | 4.71961 | − | 10.3345i | 0.425553 | − | 0.931832i | ||||
\(124\) | 6.88007 | − | 7.94003i | 0.617849 | − | 0.713036i | ||||
\(125\) | 0.841254 | − | 0.540641i | 0.0752440 | − | 0.0483564i | ||||
\(126\) | 0.201675 | + | 1.40268i | 0.0179666 | + | 0.124960i | ||||
\(127\) | −0.820780 | − | 5.70865i | −0.0728325 | − | 0.506561i | −0.993284 | − | 0.115704i | \(-0.963088\pi\) |
0.920451 | − | 0.390857i | \(-0.127821\pi\) | |||||||
\(128\) | 0.841254 | − | 0.540641i | 0.0743570 | − | 0.0477863i | ||||
\(129\) | 0.781628 | − | 0.902047i | 0.0688185 | − | 0.0794208i | ||||
\(130\) | −1.56897 | + | 3.43556i | −0.137608 | + | 0.301319i | ||||
\(131\) | 6.96485 | + | 4.47604i | 0.608522 | + | 0.391073i | 0.808303 | − | 0.588767i | \(-0.200387\pi\) |
−0.199781 | + | 0.979841i | \(0.564023\pi\) | |||||||
\(132\) | 3.89363 | − | 1.14327i | 0.338897 | − | 0.0995091i | ||||
\(133\) | 4.89422 | + | 5.64823i | 0.424383 | + | 0.489764i | ||||
\(134\) | −10.3819 | − | 3.04842i | −0.896864 | − | 0.263343i | ||||
\(135\) | 0.415415 | + | 0.909632i | 0.0357532 | + | 0.0782887i | ||||
\(136\) | −0.101622 | + | 0.706796i | −0.00871401 | + | 0.0606073i | ||||
\(137\) | 1.82545 | 0.155958 | 0.0779792 | − | 0.996955i | \(-0.475153\pi\) | ||||
0.0779792 | + | 0.996955i | \(0.475153\pi\) | |||||||
\(138\) | 2.80311 | + | 3.89134i | 0.238617 | + | 0.331253i | ||||
\(139\) | −2.84016 | −0.240899 | −0.120450 | − | 0.992719i | \(-0.538434\pi\) | ||||
−0.120450 | + | 0.992719i | \(0.538434\pi\) | |||||||
\(140\) | 0.201675 | − | 1.40268i | 0.0170446 | − | 0.118548i | ||||
\(141\) | 2.59150 | + | 5.67458i | 0.218243 | + | 0.477886i | ||||
\(142\) | −11.8694 | − | 3.48517i | −0.996057 | − | 0.292469i | ||||
\(143\) | −10.0368 | − | 11.5830i | −0.839316 | − | 0.968622i | ||||
\(144\) | −0.959493 | + | 0.281733i | −0.0799577 | + | 0.0234777i | ||||
\(145\) | 5.33745 | + | 3.43017i | 0.443251 | + | 0.284860i | ||||
\(146\) | 0.981423 | − | 2.14902i | 0.0812231 | − | 0.177854i | ||||
\(147\) | 3.26895 | − | 3.77257i | 0.269618 | − | 0.311156i | ||||
\(148\) | −1.60384 | + | 1.03073i | −0.131835 | + | 0.0847253i | ||||
\(149\) | 2.54268 | + | 17.6847i | 0.208304 | + | 1.44879i | 0.778689 | + | 0.627410i | \(0.215885\pi\) |
−0.570385 | + | 0.821377i | \(0.693206\pi\) | |||||||
\(150\) | −0.142315 | − | 0.989821i | −0.0116200 | − | 0.0808186i | ||||
\(151\) | 13.6369 | − | 8.76392i | 1.10976 | − | 0.713198i | 0.148517 | − | 0.988910i | \(-0.452550\pi\) |
0.961240 | + | 0.275712i | \(0.0889136\pi\) | |||||||
\(152\) | −3.45368 | + | 3.98576i | −0.280131 | + | 0.323288i | ||||
\(153\) | 0.296633 | − | 0.649536i | 0.0239814 | − | 0.0525118i | ||||
\(154\) | 4.83772 | + | 3.10901i | 0.389834 | + | 0.250531i | ||||
\(155\) | 10.0806 | − | 2.95993i | 0.809693 | − | 0.237747i | ||||
\(156\) | 2.47332 | + | 2.85437i | 0.198024 | + | 0.228532i | ||||
\(157\) | −2.64486 | − | 0.776601i | −0.211083 | − | 0.0619795i | 0.174482 | − | 0.984660i | \(-0.444175\pi\) |
−0.385564 | + | 0.922681i | \(0.625993\pi\) | |||||||
\(158\) | −3.21817 | − | 7.04680i | −0.256023 | − | 0.560613i | ||||
\(159\) | −1.73981 | + | 12.1006i | −0.137976 | + | 0.959643i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | −1.56623 | + | 6.61324i | −0.123436 | + | 0.521197i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −2.71703 | + | 18.8974i | −0.212814 | + | 1.48016i | 0.550884 | + | 0.834582i | \(0.314291\pi\) |
−0.763698 | + | 0.645574i | \(0.776618\pi\) | |||||||
\(164\) | 4.71961 | + | 10.3345i | 0.368540 | + | 0.806990i | ||||
\(165\) | 3.89363 | + | 1.14327i | 0.303119 | + | 0.0890037i | ||||
\(166\) | 11.2250 | + | 12.9543i | 0.871229 | + | 1.00545i | ||||
\(167\) | −10.5886 | + | 3.10908i | −0.819368 | + | 0.240588i | −0.664444 | − | 0.747338i | \(-0.731331\pi\) |
−0.154924 | + | 0.987926i | \(0.549513\pi\) | |||||||
\(168\) | −1.19214 | − | 0.766143i | −0.0919757 | − | 0.0591092i | ||||
\(169\) | 0.525390 | − | 1.15044i | 0.0404146 | − | 0.0884956i | ||||
\(170\) | −0.467613 | + | 0.539654i | −0.0358642 | + | 0.0413895i | ||||
\(171\) | 4.43670 | − | 2.85130i | 0.339283 | − | 0.218044i | ||||
\(172\) | 0.169864 | + | 1.18143i | 0.0129520 | + | 0.0900832i | ||||
\(173\) | −0.388336 | − | 2.70093i | −0.0295246 | − | 0.205348i | 0.969720 | − | 0.244221i | \(-0.0785323\pi\) |
−0.999244 | + | 0.0388730i | \(0.987623\pi\) | |||||||
\(174\) | 5.33745 | − | 3.43017i | 0.404631 | − | 0.260040i | ||||
\(175\) | 0.928004 | − | 1.07097i | 0.0701505 | − | 0.0809580i | ||||
\(176\) | −1.68576 | + | 3.69129i | −0.127069 | + | 0.278242i | ||||
\(177\) | 10.2213 | + | 6.56883i | 0.768280 | + | 0.493743i | ||||
\(178\) | 7.90094 | − | 2.31992i | 0.592200 | − | 0.173886i | ||||
\(179\) | 1.59016 | + | 1.83514i | 0.118854 | + | 0.137165i | 0.812058 | − | 0.583576i | \(-0.198347\pi\) |
−0.693204 | + | 0.720741i | \(0.743802\pi\) | |||||||
\(180\) | −0.959493 | − | 0.281733i | −0.0715164 | − | 0.0209991i | ||||
\(181\) | 2.82229 | + | 6.17996i | 0.209779 | + | 0.459353i | 0.985048 | − | 0.172279i | \(-0.0551130\pi\) |
−0.775269 | + | 0.631631i | \(0.782386\pi\) | |||||||
\(182\) | −0.761698 | + | 5.29773i | −0.0564608 | + | 0.392694i | ||||
\(183\) | −10.5257 | −0.778083 | ||||||||
\(184\) | −4.77653 | − | 0.429838i | −0.352130 | − | 0.0316881i | ||||
\(185\) | −1.90649 | −0.140168 | ||||||||
\(186\) | 1.49518 | − | 10.3992i | 0.109632 | − | 0.762508i | ||||
\(187\) | −1.20374 | − | 2.63582i | −0.0880261 | − | 0.192750i | ||||
\(188\) | −5.98563 | − | 1.75754i | −0.436547 | − | 0.128182i | ||||
\(189\) | 0.928004 | + | 1.07097i | 0.0675024 | + | 0.0779019i | ||||
\(190\) | −5.06029 | + | 1.48584i | −0.367112 | + | 0.107794i | ||||
\(191\) | 16.3378 | + | 10.4997i | 1.18216 | + | 0.759729i | 0.975783 | − | 0.218743i | \(-0.0701956\pi\) |
0.206379 | + | 0.978472i | \(0.433832\pi\) | |||||||
\(192\) | 0.415415 | − | 0.909632i | 0.0299800 | − | 0.0656470i | ||||
\(193\) | 1.86365 | − | 2.15077i | 0.134149 | − | 0.154816i | −0.684701 | − | 0.728825i | \(-0.740067\pi\) |
0.818849 | + | 0.574009i | \(0.194612\pi\) | |||||||
\(194\) | −1.91006 | + | 1.22752i | −0.137135 | + | 0.0881311i | ||||
\(195\) | 0.537504 | + | 3.73843i | 0.0384915 | + | 0.267714i | ||||
\(196\) | 0.710411 | + | 4.94101i | 0.0507436 | + | 0.352930i | ||||
\(197\) | −6.61652 | + | 4.25218i | −0.471407 | + | 0.302955i | −0.754690 | − | 0.656081i | \(-0.772213\pi\) |
0.283283 | + | 0.959036i | \(0.408576\pi\) | |||||||
\(198\) | 2.65743 | − | 3.06684i | 0.188855 | − | 0.217951i | ||||
\(199\) | 7.97996 | − | 17.4737i | 0.565685 | − | 1.23868i | −0.383379 | − | 0.923591i | \(-0.625240\pi\) |
0.949063 | − | 0.315085i | \(-0.102033\pi\) | |||||||
\(200\) | 0.841254 | + | 0.540641i | 0.0594856 | + | 0.0382291i | ||||
\(201\) | −10.3819 | + | 3.04842i | −0.732286 | + | 0.215019i | ||||
\(202\) | −10.8581 | − | 12.5309i | −0.763971 | − | 0.881669i | ||||
\(203\) | 8.62679 | + | 2.53305i | 0.605482 | + | 0.177786i | ||||
\(204\) | 0.296633 | + | 0.649536i | 0.0207685 | + | 0.0454766i | ||||
\(205\) | −1.61687 | + | 11.2456i | −0.112927 | + | 0.785424i | ||||
\(206\) | −11.1128 | −0.774266 | ||||||||
\(207\) | 4.46195 | + | 1.75813i | 0.310127 | + | 0.122199i | ||||
\(208\) | −3.77687 | −0.261879 | ||||||||
\(209\) | 3.04577 | − | 21.1838i | 0.210680 | − | 1.46531i | ||||
\(210\) | −0.588685 | − | 1.28904i | −0.0406231 | − | 0.0889523i | ||||
\(211\) | −0.798256 | − | 0.234389i | −0.0549542 | − | 0.0161360i | 0.254140 | − | 0.967167i | \(-0.418208\pi\) |
−0.309094 | + | 0.951031i | \(0.600026\pi\) | |||||||
\(212\) | −8.00572 | − | 9.23910i | −0.549835 | − | 0.634544i | ||||
\(213\) | −11.8694 | + | 3.48517i | −0.813277 | + | 0.238800i | ||||
\(214\) | 12.6088 | + | 8.10320i | 0.861922 | + | 0.553923i | ||||
\(215\) | −0.495831 | + | 1.08572i | −0.0338154 | + | 0.0740453i | ||||
\(216\) | −0.654861 | + | 0.755750i | −0.0445576 | + | 0.0514222i | ||||
\(217\) | 12.5248 | − | 8.04922i | 0.850241 | − | 0.546417i | ||||
\(218\) | −0.789282 | − | 5.48958i | −0.0534569 | − | 0.371801i | ||||
\(219\) | −0.336221 | − | 2.33847i | −0.0227197 | − | 0.158019i | ||||
\(220\) | −3.41381 | + | 2.19392i | −0.230159 | + | 0.147914i | ||||
\(221\) | 1.76611 | − | 2.03820i | 0.118801 | − | 0.137104i | ||||
\(222\) | −0.791986 | + | 1.73421i | −0.0531546 | + | 0.116392i | ||||
\(223\) | 8.99042 | + | 5.77779i | 0.602043 | + | 0.386910i | 0.805866 | − | 0.592098i | \(-0.201700\pi\) |
−0.203823 | + | 0.979008i | \(0.565337\pi\) | |||||||
\(224\) | 1.35970 | − | 0.399244i | 0.0908487 | − | 0.0266756i | ||||
\(225\) | −0.654861 | − | 0.755750i | −0.0436574 | − | 0.0503833i | ||||
\(226\) | −4.50082 | − | 1.32156i | −0.299390 | − | 0.0879088i | ||||
\(227\) | 6.69886 | + | 14.6684i | 0.444619 | + | 0.973579i | 0.990727 | + | 0.135865i | \(0.0433813\pi\) |
−0.546109 | + | 0.837714i | \(0.683891\pi\) | |||||||
\(228\) | −0.750557 | + | 5.22024i | −0.0497069 | + | 0.345719i | ||||
\(229\) | 5.24813 | 0.346806 | 0.173403 | − | 0.984851i | \(-0.444524\pi\) | ||||
0.173403 | + | 0.984851i | \(0.444524\pi\) | |||||||
\(230\) | −3.78588 | − | 2.94399i | −0.249634 | − | 0.194121i | ||||
\(231\) | 5.75061 | 0.378362 | ||||||||
\(232\) | −0.902936 | + | 6.28006i | −0.0592806 | + | 0.412306i | ||||
\(233\) | −8.73917 | − | 19.1361i | −0.572522 | − | 1.25365i | −0.945444 | − | 0.325785i | \(-0.894371\pi\) |
0.372922 | − | 0.927863i | \(-0.378356\pi\) | |||||||
\(234\) | 3.62388 | + | 1.06407i | 0.236900 | + | 0.0695602i | ||||
\(235\) | −4.08524 | − | 4.71461i | −0.266491 | − | 0.307548i | ||||
\(236\) | −11.6579 | + | 3.42307i | −0.758866 | + | 0.222823i | ||||
\(237\) | −6.51708 | − | 4.18827i | −0.423330 | − | 0.272058i | ||||
\(238\) | −0.420359 | + | 0.920458i | −0.0272478 | + | 0.0596644i | ||||
\(239\) | 2.10204 | − | 2.42588i | 0.135969 | − | 0.156917i | −0.683681 | − | 0.729781i | \(-0.739622\pi\) |
0.819651 | + | 0.572864i | \(0.194168\pi\) | |||||||
\(240\) | 0.841254 | − | 0.540641i | 0.0543027 | − | 0.0348982i | ||||
\(241\) | 0.643600 | + | 4.47633i | 0.0414579 | + | 0.288346i | 0.999994 | + | 0.00337589i | \(0.00107458\pi\) |
−0.958536 | + | 0.284970i | \(0.908016\pi\) | |||||||
\(242\) | −0.778095 | − | 5.41177i | −0.0500178 | − | 0.347882i | ||||
\(243\) | 0.841254 | − | 0.540641i | 0.0539664 | − | 0.0346821i | ||||
\(244\) | 6.89287 | − | 7.95480i | 0.441271 | − | 0.509254i | ||||
\(245\) | −2.07368 | + | 4.54072i | −0.132482 | + | 0.290096i | ||||
\(246\) | 9.55765 | + | 6.14233i | 0.609374 | + | 0.391621i | ||||
\(247\) | 19.1120 | − | 5.61180i | 1.21607 | − | 0.357071i | ||||
\(248\) | 6.88007 | + | 7.94003i | 0.436885 | + | 0.504192i | ||||
\(249\) | 16.4467 | + | 4.82919i | 1.04227 | + | 0.306037i | ||||
\(250\) | 0.415415 | + | 0.909632i | 0.0262732 | + | 0.0575302i | ||||
\(251\) | −0.0130087 | + | 0.0904775i | −0.000821102 | + | 0.00571089i | −0.990228 | − | 0.139459i | \(-0.955464\pi\) |
0.989407 | + | 0.145170i | \(0.0463728\pi\) | |||||||
\(252\) | −1.41710 | −0.0892690 | ||||||||
\(253\) | 17.2492 | − | 9.01196i | 1.08445 | − | 0.566577i | ||||
\(254\) | 5.76736 | 0.361876 | ||||||||
\(255\) | −0.101622 | + | 0.706796i | −0.00636381 | + | 0.0442613i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | −24.5989 | − | 7.22290i | −1.53444 | − | 0.450552i | −0.598033 | − | 0.801471i | \(-0.704051\pi\) |
−0.936406 | + | 0.350919i | \(0.885869\pi\) | |||||||
\(258\) | 0.781628 | + | 0.902047i | 0.0486620 | + | 0.0561590i | ||||
\(259\) | −2.59226 | + | 0.761155i | −0.161075 | + | 0.0472959i | ||||
\(260\) | −3.17730 | − | 2.04193i | −0.197048 | − | 0.126635i | ||||
\(261\) | 2.63566 | − | 5.77128i | 0.163143 | − | 0.357233i | ||||
\(262\) | −5.42168 | + | 6.25695i | −0.334953 | + | 0.386556i | ||||
\(263\) | 2.26320 | − | 1.45447i | 0.139555 | − | 0.0896863i | −0.469001 | − | 0.883198i | \(-0.655386\pi\) |
0.608555 | + | 0.793512i | \(0.291749\pi\) | |||||||
\(264\) | 0.577515 | + | 4.01670i | 0.0355436 | + | 0.247211i | ||||
\(265\) | −1.73981 | − | 12.1006i | −0.106876 | − | 0.743337i | ||||
\(266\) | −6.28726 | + | 4.04058i | −0.385497 | + | 0.247744i | ||||
\(267\) | 5.39245 | − | 6.22321i | 0.330012 | − | 0.380855i | ||||
\(268\) | 4.49489 | − | 9.84244i | 0.274569 | − | 0.601223i | ||||
\(269\) | −9.06953 | − | 5.82863i | −0.552979 | − | 0.355378i | 0.234117 | − | 0.972208i | \(-0.424780\pi\) |
−0.787096 | + | 0.616830i | \(0.788416\pi\) | |||||||
\(270\) | −0.959493 | + | 0.281733i | −0.0583929 | + | 0.0171457i | ||||
\(271\) | −18.0403 | − | 20.8196i | −1.09587 | − | 1.26470i | −0.961807 | − | 0.273727i | \(-0.911743\pi\) |
−0.134062 | − | 0.990973i | \(-0.542802\pi\) | |||||||
\(272\) | −0.685140 | − | 0.201175i | −0.0415427 | − | 0.0121980i | ||||
\(273\) | 2.22339 | + | 4.86854i | 0.134565 | + | 0.294657i | ||||
\(274\) | −0.259788 | + | 1.80687i | −0.0156944 | + | 0.109157i | ||||
\(275\) | −4.05801 | −0.244707 | ||||||||
\(276\) | −4.25066 | + | 2.22078i | −0.255860 | + | 0.133675i | ||||
\(277\) | 1.21105 | 0.0727648 | 0.0363824 | − | 0.999338i | \(-0.488417\pi\) | ||||
0.0363824 | + | 0.999338i | \(0.488417\pi\) | |||||||
\(278\) | 0.404197 | − | 2.81125i | 0.0242421 | − | 0.168608i | ||||
\(279\) | −4.36442 | − | 9.55674i | −0.261291 | − | 0.572147i | ||||
\(280\) | 1.35970 | + | 0.399244i | 0.0812575 | + | 0.0238594i | ||||
\(281\) | 19.1395 | + | 22.0882i | 1.14177 | + | 1.31767i | 0.941145 | + | 0.338004i | \(0.109752\pi\) |
0.200625 | + | 0.979668i | \(0.435703\pi\) | |||||||
\(282\) | −5.98563 | + | 1.75754i | −0.356439 | + | 0.104660i | ||||
\(283\) | −19.2446 | − | 12.3677i | −1.14397 | − | 0.735186i | −0.175542 | − | 0.984472i | \(-0.556168\pi\) |
−0.968430 | + | 0.249286i | \(0.919804\pi\) | |||||||
\(284\) | 5.13888 | − | 11.2526i | 0.304937 | − | 0.667718i | ||||
\(285\) | −3.45368 | + | 3.98576i | −0.204579 | + | 0.236096i | ||||
\(286\) | 12.8935 | − | 8.28616i | 0.762410 | − | 0.489971i | ||||
\(287\) | 2.29127 | + | 15.9361i | 0.135249 | + | 0.940678i | ||||
\(288\) | −0.142315 | − | 0.989821i | −0.00838598 | − | 0.0583258i | ||||
\(289\) | −13.8724 | + | 8.91523i | −0.816021 | + | 0.524425i | ||||
\(290\) | −4.15485 | + | 4.79496i | −0.243981 | + | 0.281569i | ||||
\(291\) | −0.943199 | + | 2.06532i | −0.0552913 | + | 0.121071i | ||||
\(292\) | 1.98747 | + | 1.27727i | 0.116308 | + | 0.0747466i | ||||
\(293\) | 22.6294 | − | 6.64458i | 1.32202 | − | 0.388181i | 0.456800 | − | 0.889570i | \(-0.348996\pi\) |
0.865222 | + | 0.501389i | \(0.167177\pi\) | |||||||
\(294\) | 3.26895 | + | 3.77257i | 0.190649 | + | 0.220021i | ||||
\(295\) | −11.6579 | − | 3.42307i | −0.678750 | − | 0.199299i | ||||
\(296\) | −0.791986 | − | 1.73421i | −0.0460332 | − | 0.100799i | ||||
\(297\) | 0.577515 | − | 4.01670i | 0.0335108 | − | 0.233073i | ||||
\(298\) | −17.8666 | −1.03498 | ||||||||
\(299\) | 14.2988 | + | 11.1191i | 0.826920 | + | 0.643032i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | −0.240715 | + | 1.67421i | −0.0138746 | + | 0.0964996i | ||||
\(302\) | 6.73398 | + | 14.7454i | 0.387497 | + | 0.848500i | ||||
\(303\) | −15.9091 | − | 4.67133i | −0.913953 | − | 0.268361i | ||||
\(304\) | −3.45368 | − | 3.98576i | −0.198082 | − | 0.228599i | ||||
\(305\) | 10.0993 | − | 2.96543i | 0.578287 | − | 0.169800i | ||||
\(306\) | 0.600709 | + | 0.386052i | 0.0343402 | + | 0.0220691i | ||||
\(307\) | 8.71841 | − | 19.0907i | 0.497586 | − | 1.08956i | −0.479661 | − | 0.877454i | \(-0.659240\pi\) |
0.977246 | − | 0.212107i | \(-0.0680325\pi\) | |||||||
\(308\) | −3.76585 | + | 4.34602i | −0.214579 | + | 0.247637i | ||||
\(309\) | −9.34869 | + | 6.00804i | −0.531828 | + | 0.341785i | ||||
\(310\) | 1.49518 | + | 10.3992i | 0.0849207 | + | 0.590636i | ||||
\(311\) | 0.334808 | + | 2.32864i | 0.0189852 | + | 0.132045i | 0.997110 | − | 0.0759753i | \(-0.0242070\pi\) |
−0.978124 | + | 0.208021i | \(0.933298\pi\) | |||||||
\(312\) | −3.17730 | + | 2.04193i | −0.179879 | + | 0.115601i | ||||
\(313\) | −21.7103 | + | 25.0550i | −1.22714 | + | 1.41619i | −0.349451 | + | 0.936954i | \(0.613632\pi\) |
−0.877685 | + | 0.479237i | \(0.840913\pi\) | |||||||
\(314\) | 1.14510 | − | 2.50742i | 0.0646217 | − | 0.141502i | ||||
\(315\) | −1.19214 | − | 0.766143i | −0.0671696 | − | 0.0431673i | ||||
\(316\) | 7.43307 | − | 2.18255i | 0.418143 | − | 0.122778i | ||||
\(317\) | −8.30392 | − | 9.58324i | −0.466395 | − | 0.538248i | 0.473010 | − | 0.881057i | \(-0.343167\pi\) |
−0.939405 | + | 0.342808i | \(0.888622\pi\) | |||||||
\(318\) | −11.7299 | − | 3.44420i | −0.657779 | − | 0.193141i | ||||
\(319\) | −10.6955 | − | 23.4199i | −0.598834 | − | 1.31126i | ||||
\(320\) | −0.142315 | + | 0.989821i | −0.00795564 | + | 0.0553327i | ||||
\(321\) | 14.9881 | 0.836556 | ||||||||
\(322\) | −6.32303 | − | 2.49145i | −0.352369 | − | 0.138843i | ||||
\(323\) | 3.76592 | 0.209541 | ||||||||
\(324\) | −0.142315 | + | 0.989821i | −0.00790638 | + | 0.0549901i | ||||
\(325\) | −1.56897 | − | 3.43556i | −0.0870307 | − | 0.190571i | ||||
\(326\) | −18.3183 | − | 5.37875i | −1.01456 | − | 0.297901i | ||||
\(327\) | −3.63188 | − | 4.19141i | −0.200843 | − | 0.231785i | ||||
\(328\) | −10.9010 | + | 3.20082i | −0.601907 | + | 0.176736i | ||||
\(329\) | −7.43697 | − | 4.77945i | −0.410013 | − | 0.263500i | ||||
\(330\) | −1.68576 | + | 3.69129i | −0.0927979 | + | 0.203199i | ||||
\(331\) | 20.3168 | − | 23.4469i | 1.11671 | − | 1.28876i | 0.163472 | − | 0.986548i | \(-0.447731\pi\) |
0.953242 | − | 0.302208i | \(-0.0977237\pi\) | |||||||
\(332\) | −14.4200 | + | 9.26715i | −0.791398 | + | 0.508601i | ||||
\(333\) | 0.271322 | + | 1.88709i | 0.0148684 | + | 0.103412i | ||||
\(334\) | −1.57053 | − | 10.9233i | −0.0859354 | − | 0.597694i | ||||
\(335\) | 9.10257 | − | 5.84987i | 0.497326 | − | 0.319612i | ||||
\(336\) | 0.928004 | − | 1.07097i | 0.0506268 | − | 0.0584264i | ||||
\(337\) | 3.95785 | − | 8.66647i | 0.215598 | − | 0.472093i | −0.770673 | − | 0.637231i | \(-0.780080\pi\) |
0.986270 | + | 0.165138i | \(0.0528070\pi\) | |||||||
\(338\) | 1.06396 | + | 0.683767i | 0.0578719 | + | 0.0371920i | ||||
\(339\) | −4.50082 | + | 1.32156i | −0.244451 | + | 0.0717772i | ||||
\(340\) | −0.467613 | − | 0.539654i | −0.0253599 | − | 0.0292668i | ||||
\(341\) | −40.9071 | − | 12.0114i | −2.21524 | − | 0.650454i | ||||
\(342\) | 2.19087 | + | 4.79733i | 0.118468 | + | 0.259410i | ||||
\(343\) | −2.41845 | + | 16.8207i | −0.130584 | + | 0.908230i | ||||
\(344\) | −1.19358 | −0.0643535 | ||||||||
\(345\) | −4.77653 | − | 0.429838i | −0.257160 | − | 0.0231417i | ||||
\(346\) | 2.72871 | 0.146696 | ||||||||
\(347\) | 3.83443 | − | 26.6690i | 0.205843 | − | 1.43167i | −0.580692 | − | 0.814123i | \(-0.697218\pi\) |
0.786535 | − | 0.617546i | \(-0.211873\pi\) | |||||||
\(348\) | 2.63566 | + | 5.77128i | 0.141286 | + | 0.309373i | ||||
\(349\) | −27.8893 | − | 8.18904i | −1.49288 | − | 0.438349i | −0.569421 | − | 0.822046i | \(-0.692832\pi\) |
−0.923459 | + | 0.383697i | \(0.874651\pi\) | |||||||
\(350\) | 0.928004 | + | 1.07097i | 0.0496039 | + | 0.0572460i | ||||
\(351\) | 3.62388 | − | 1.06407i | 0.193428 | − | 0.0567957i | ||||
\(352\) | −3.41381 | − | 2.19392i | −0.181957 | − | 0.116937i | ||||
\(353\) | −3.95418 | + | 8.65845i | −0.210460 | + | 0.460843i | −0.985194 | − | 0.171445i | \(-0.945157\pi\) |
0.774734 | + | 0.632287i | \(0.217884\pi\) | |||||||
\(354\) | −7.95661 | + | 9.18242i | −0.422889 | + | 0.488040i | ||||
\(355\) | 10.4067 | − | 6.68799i | 0.552331 | − | 0.354962i | ||||
\(356\) | 1.17189 | + | 8.15068i | 0.0621101 | + | 0.431985i | ||||
\(357\) | 0.144009 | + | 1.00160i | 0.00762174 | + | 0.0530104i | ||||
\(358\) | −2.04276 | + | 1.31280i | −0.107963 | + | 0.0693838i | ||||
\(359\) | −15.7334 | + | 18.1573i | −0.830377 | + | 0.958306i | −0.999628 | − | 0.0272665i | \(-0.991320\pi\) |
0.169251 | + | 0.985573i | \(0.445865\pi\) | |||||||
\(360\) | 0.415415 | − | 0.909632i | 0.0218943 | − | 0.0479418i | ||||
\(361\) | 7.41501 | + | 4.76534i | 0.390264 | + | 0.250807i | ||||
\(362\) | −6.51871 | + | 1.91407i | −0.342616 | + | 0.100601i | ||||
\(363\) | −3.58040 | − | 4.13200i | −0.187922 | − | 0.216874i | ||||
\(364\) | −5.13540 | − | 1.50789i | −0.269168 | − | 0.0790349i | ||||
\(365\) | 0.981423 | + | 2.14902i | 0.0513700 | + | 0.112485i | ||||
\(366\) | 1.49796 | − | 10.4186i | 0.0782999 | − | 0.544587i | ||||
\(367\) | 13.0566 | 0.681548 | 0.340774 | − | 0.940145i | \(-0.389311\pi\) | ||||
0.340774 | + | 0.940145i | \(0.389311\pi\) | |||||||
\(368\) | 1.10523 | − | 4.66674i | 0.0576143 | − | 0.243271i | ||||
\(369\) | 11.3612 | 0.591441 | ||||||||
\(370\) | 0.271322 | − | 1.88709i | 0.0141054 | − | 0.0981050i | ||||
\(371\) | −7.19672 | − | 15.7586i | −0.373635 | − | 0.818147i | ||||
\(372\) | 10.0806 | + | 2.95993i | 0.522654 | + | 0.153465i | ||||
\(373\) | −0.111637 | − | 0.128836i | −0.00578035 | − | 0.00667088i | 0.752852 | − | 0.658190i | \(-0.228678\pi\) |
−0.758632 | + | 0.651519i | \(0.774132\pi\) | |||||||
\(374\) | 2.78030 | − | 0.816370i | 0.143766 | − | 0.0422135i | ||||
\(375\) | 0.841254 | + | 0.540641i | 0.0434421 | + | 0.0279186i | ||||
\(376\) | 2.59150 | − | 5.67458i | 0.133646 | − | 0.292644i | ||||
\(377\) | 15.6923 | − | 18.1099i | 0.808196 | − | 0.932708i | ||||
\(378\) | −1.19214 | + | 0.766143i | −0.0613171 | + | 0.0394061i | ||||
\(379\) | 1.27004 | + | 8.83332i | 0.0652375 | + | 0.453737i | 0.996090 | + | 0.0883422i | \(0.0281569\pi\) |
−0.930853 | + | 0.365395i | \(0.880934\pi\) | |||||||
\(380\) | −0.750557 | − | 5.22024i | −0.0385028 | − | 0.267793i | ||||
\(381\) | 4.85181 | − | 3.11807i | 0.248566 | − | 0.159743i | ||||
\(382\) | −12.7179 | + | 14.6772i | −0.650705 | + | 0.750953i | ||||
\(383\) | 8.79040 | − | 19.2483i | 0.449169 | − | 0.983542i | −0.540655 | − | 0.841244i | \(-0.681824\pi\) |
0.989824 | − | 0.142298i | \(-0.0454490\pi\) | |||||||
\(384\) | 0.841254 | + | 0.540641i | 0.0429300 | + | 0.0275895i | ||||
\(385\) | −5.51767 | + | 1.62013i | −0.281206 | + | 0.0825696i | ||||
\(386\) | 1.86365 | + | 2.15077i | 0.0948574 | + | 0.109471i | ||||
\(387\) | 1.14523 | + | 0.336270i | 0.0582153 | + | 0.0170936i | ||||
\(388\) | −0.943199 | − | 2.06532i | −0.0478837 | − | 0.104851i | ||||
\(389\) | −2.78719 | + | 19.3853i | −0.141316 | + | 0.982876i | 0.788548 | + | 0.614973i | \(0.210833\pi\) |
−0.929864 | + | 0.367903i | \(0.880076\pi\) | |||||||
\(390\) | −3.77687 | −0.191249 | ||||||||
\(391\) | 2.00160 | + | 2.77867i | 0.101225 | + | 0.140523i | ||||
\(392\) | −4.99182 | −0.252125 | ||||||||
\(393\) | −1.17824 | + | 8.19486i | −0.0594345 | + | 0.413376i | ||||
\(394\) | −3.26727 | − | 7.15432i | −0.164603 | − | 0.360429i | ||||
\(395\) | 7.43307 | + | 2.18255i | 0.373998 | + | 0.109816i | ||||
\(396\) | 2.65743 | + | 3.06684i | 0.133541 | + | 0.154114i | ||||
\(397\) | −2.26408 | + | 0.664794i | −0.113631 | + | 0.0333651i | −0.338054 | − | 0.941127i | \(-0.609769\pi\) |
0.224423 | + | 0.974492i | \(0.427950\pi\) | |||||||
\(398\) | 16.1602 | + | 10.3855i | 0.810036 | + | 0.520578i | ||||
\(399\) | −3.10468 | + | 6.79830i | −0.155428 | + | 0.340341i | ||||
\(400\) | −0.654861 | + | 0.755750i | −0.0327430 | + | 0.0377875i | ||||
\(401\) | −27.3245 | + | 17.5604i | −1.36452 | + | 0.876925i | −0.998557 | − | 0.0537030i | \(-0.982898\pi\) |
−0.365966 | + | 0.930628i | \(0.619261\pi\) | |||||||
\(402\) | −1.53988 | − | 10.7101i | −0.0768023 | − | 0.534172i | ||||
\(403\) | −5.64711 | − | 39.2765i | −0.281303 | − | 1.95650i | ||||
\(404\) | 13.9486 | − | 8.96421i | 0.693968 | − | 0.445986i | ||||
\(405\) | −0.654861 | + | 0.755750i | −0.0325403 | + | 0.0375535i | ||||
\(406\) | −3.73499 | + | 8.17849i | −0.185365 | + | 0.405892i | ||||
\(407\) | 6.50841 | + | 4.18270i | 0.322610 | + | 0.207329i | ||||
\(408\) | −0.685140 | + | 0.201175i | −0.0339195 | + | 0.00995965i | ||||
\(409\) | 12.8845 | + | 14.8695i | 0.637095 | + | 0.735247i | 0.978858 | − | 0.204539i | \(-0.0655695\pi\) |
−0.341763 | + | 0.939786i | \(0.611024\pi\) | |||||||
\(410\) | −10.9010 | − | 3.20082i | −0.538362 | − | 0.158077i | ||||
\(411\) | 0.758318 | + | 1.66048i | 0.0374051 | + | 0.0819057i | ||||
\(412\) | 1.58152 | − | 10.9997i | 0.0779158 | − | 0.541916i | ||||
\(413\) | −17.2179 | −0.847237 | ||||||||
\(414\) | −2.37524 | + | 4.16632i | −0.116737 | + | 0.204764i | ||||
\(415\) | −17.1410 | −0.841421 | ||||||||
\(416\) | 0.537504 | − | 3.73843i | 0.0263533 | − | 0.183291i | ||||
\(417\) | −1.17985 | − | 2.58350i | −0.0577773 | − | 0.126515i | ||||
\(418\) | 20.5347 | + | 6.02953i | 1.00438 | + | 0.294914i | ||||
\(419\) | −5.13772 | − | 5.92925i | −0.250994 | − | 0.289663i | 0.616245 | − | 0.787554i | \(-0.288653\pi\) |
−0.867239 | + | 0.497892i | \(0.834108\pi\) | |||||||
\(420\) | 1.35970 | − | 0.399244i | 0.0663465 | − | 0.0194811i | ||||
\(421\) | −22.7087 | − | 14.5940i | −1.10675 | − | 0.711268i | −0.146171 | − | 0.989259i | \(-0.546695\pi\) |
−0.960584 | + | 0.277991i | \(0.910331\pi\) | |||||||
\(422\) | 0.345607 | − | 0.756774i | 0.0168239 | − | 0.0368392i | ||||
\(423\) | −4.08524 | + | 4.71461i | −0.198631 | + | 0.229232i | ||||
\(424\) | 10.2844 | − | 6.60938i | 0.499454 | − | 0.320980i | ||||
\(425\) | −0.101622 | − | 0.706796i | −0.00492939 | − | 0.0342846i | ||||
\(426\) | −1.76050 | − | 12.2446i | −0.0852967 | − | 0.593251i | ||||
\(427\) | 12.5481 | − | 8.06420i | 0.607247 | − | 0.390254i | ||||
\(428\) | −9.81515 | + | 11.3273i | −0.474433 | + | 0.547525i | ||||
\(429\) | 6.36688 | − | 13.9415i | 0.307396 | − | 0.673103i | ||||
\(430\) | −1.00410 | − | 0.645298i | −0.0484221 | − | 0.0311190i | ||||
\(431\) | 17.5620 | − | 5.15666i | 0.845931 | − | 0.248388i | 0.170084 | − | 0.985430i | \(-0.445596\pi\) |
0.675847 | + | 0.737042i | \(0.263778\pi\) | |||||||
\(432\) | −0.654861 | − | 0.755750i | −0.0315070 | − | 0.0363610i | ||||
\(433\) | −23.7125 | − | 6.96261i | −1.13955 | − | 0.334602i | −0.343095 | − | 0.939301i | \(-0.611475\pi\) |
−0.796454 | + | 0.604699i | \(0.793293\pi\) | |||||||
\(434\) | 6.18482 | + | 13.5429i | 0.296881 | + | 0.650079i | ||||
\(435\) | −0.902936 | + | 6.28006i | −0.0432925 | + | 0.301106i | ||||
\(436\) | 5.54603 | 0.265607 | ||||||||
\(437\) | 1.34120 | + | 25.2573i | 0.0641582 | + | 1.20822i | ||||
\(438\) | 2.36251 | 0.112885 | ||||||||
\(439\) | −0.849097 | + | 5.90560i | −0.0405252 | + | 0.281859i | 0.959475 | + | 0.281794i | \(0.0909296\pi\) |
−1.00000 | 6.45386e-5i | \(0.999979\pi\) | ||||||||
\(440\) | −1.68576 | − | 3.69129i | −0.0803653 | − | 0.175975i | ||||
\(441\) | 4.78962 | + | 1.40636i | 0.228077 | + | 0.0669695i | ||||
\(442\) | 1.76611 | + | 2.03820i | 0.0840053 | + | 0.0969473i | ||||
\(443\) | −23.5065 | + | 6.90213i | −1.11683 | + | 0.327930i | −0.787518 | − | 0.616292i | \(-0.788634\pi\) |
−0.329310 | + | 0.944222i | \(0.606816\pi\) | |||||||
\(444\) | −1.60384 | − | 1.03073i | −0.0761151 | − | 0.0489162i | ||||
\(445\) | −3.42073 | + | 7.49036i | −0.162158 | + | 0.355077i | ||||
\(446\) | −6.99846 | + | 8.07665i | −0.331386 | + | 0.382440i | ||||
\(447\) | −15.0303 | + | 9.65939i | −0.710909 | + | 0.456873i | ||||
\(448\) | 0.201675 | + | 1.40268i | 0.00952823 | + | 0.0662703i | ||||
\(449\) | −1.45278 | − | 10.1043i | −0.0685609 | − | 0.476852i | −0.994957 | − | 0.100301i | \(-0.968019\pi\) |
0.926396 | − | 0.376550i | \(-0.122890\pi\) | |||||||
\(450\) | 0.841254 | − | 0.540641i | 0.0396571 | − | 0.0254861i | ||||
\(451\) | 30.1916 | − | 34.8430i | 1.42167 | − | 1.64069i | ||||
\(452\) | 1.94864 | − | 4.26693i | 0.0916563 | − | 0.200699i | ||||
\(453\) | 13.6369 | + | 8.76392i | 0.640719 | + | 0.411765i | ||||
\(454\) | −15.4725 | + | 4.54313i | −0.726160 | + | 0.213220i | ||||
\(455\) | −3.50495 | − | 4.04493i | −0.164315 | − | 0.189629i | ||||
\(456\) | −5.06029 | − | 1.48584i | −0.236970 | − | 0.0695806i | ||||
\(457\) | 1.95891 | + | 4.28942i | 0.0916340 | + | 0.200651i | 0.949900 | − | 0.312555i | \(-0.101185\pi\) |
−0.858266 | + | 0.513206i | \(0.828458\pi\) | |||||||
\(458\) | −0.746887 | + | 5.19471i | −0.0348997 | + | 0.242733i | ||||
\(459\) | 0.714064 | 0.0333297 | ||||||||
\(460\) | 3.45281 | − | 3.32838i | 0.160988 | − | 0.155186i | ||||
\(461\) | 9.58668 | 0.446496 | 0.223248 | − | 0.974762i | \(-0.428334\pi\) | ||||
0.223248 | + | 0.974762i | \(0.428334\pi\) | |||||||
\(462\) | −0.818397 | + | 5.69207i | −0.0380753 | + | 0.264819i | ||||
\(463\) | −6.74867 | − | 14.7775i | −0.313637 | − | 0.686770i | 0.685510 | − | 0.728063i | \(-0.259579\pi\) |
−0.999147 | + | 0.0412937i | \(0.986852\pi\) | |||||||
\(464\) | −6.08763 | − | 1.78749i | −0.282611 | − | 0.0829821i | ||||
\(465\) | 6.88007 | + | 7.94003i | 0.319056 | + | 0.368210i | ||||
\(466\) | 20.1850 | − | 5.92686i | 0.935054 | − | 0.274557i | ||||
\(467\) | 21.6105 | + | 13.8882i | 1.00001 | + | 0.642670i | 0.934790 | − | 0.355201i | \(-0.115588\pi\) |
0.0652238 | + | 0.997871i | \(0.479224\pi\) | |||||||
\(468\) | −1.56897 | + | 3.43556i | −0.0725256 | + | 0.158809i | ||||
\(469\) | 10.0412 | − | 11.5882i | 0.463661 | − | 0.535093i | ||||
\(470\) | 5.24802 | − | 3.37270i | 0.242073 | − | 0.155571i | ||||
\(471\) | −0.392293 | − | 2.72846i | −0.0180759 | − | 0.125721i | ||||
\(472\) | −1.72914 | − | 12.0264i | −0.0795900 | − | 0.553560i | ||||
\(473\) | 4.07465 | − | 2.61862i | 0.187353 | − | 0.120404i | ||||
\(474\) | 5.07312 | − | 5.85469i | 0.233016 | − | 0.268915i | ||||
\(475\) | 2.19087 | − | 4.79733i | 0.100524 | − | 0.220116i | ||||
\(476\) | −0.851266 | − | 0.547075i | −0.0390177 | − | 0.0250751i | ||||
\(477\) | −11.7299 | + | 3.44420i | −0.537074 | + | 0.157699i | ||||
\(478\) | 2.10204 | + | 2.42588i | 0.0961449 | + | 0.110957i | ||||
\(479\) | −17.7817 | − | 5.22117i | −0.812465 | − | 0.238561i | −0.150997 | − | 0.988534i | \(-0.548248\pi\) |
−0.661468 | + | 0.749973i | \(0.730066\pi\) | |||||||
\(480\) | 0.415415 | + | 0.909632i | 0.0189610 | + | 0.0415188i | ||||
\(481\) | −1.02475 | + | 7.12728i | −0.0467245 | + | 0.324976i | ||||
\(482\) | −4.52236 | −0.205988 | ||||||||
\(483\) | −6.66625 | + | 1.32255i | −0.303325 | + | 0.0601780i | ||||
\(484\) | 5.46742 | 0.248519 | ||||||||
\(485\) | 0.323125 | − | 2.24739i | 0.0146724 | − | 0.102049i | ||||
\(486\) | 0.415415 | + | 0.909632i | 0.0188436 | + | 0.0412617i | ||||
\(487\) | −16.4244 | − | 4.82265i | −0.744263 | − | 0.218535i | −0.112451 | − | 0.993657i | \(-0.535870\pi\) |
−0.631812 | + | 0.775122i | \(0.717688\pi\) | |||||||
\(488\) | 6.89287 | + | 7.95480i | 0.312026 | + | 0.360097i | ||||
\(489\) | −18.3183 | + | 5.37875i | −0.828384 | + | 0.243236i | ||||
\(490\) | −4.19939 | − | 2.69878i | −0.189709 | − | 0.121919i | ||||
\(491\) | −1.94137 | + | 4.25100i | −0.0876126 | + | 0.191845i | −0.948367 | − | 0.317176i | \(-0.897265\pi\) |
0.860754 | + | 0.509021i | \(0.169993\pi\) | |||||||
\(492\) | −7.44001 | + | 8.58623i | −0.335421 | + | 0.387097i | ||||
\(493\) | 3.81128 | − | 2.44936i | 0.171651 | − | 0.110314i | ||||
\(494\) | 2.83476 | + | 19.7162i | 0.127542 | + | 0.887072i | ||||
\(495\) | 0.577515 | + | 4.01670i | 0.0259573 | + | 0.180537i | ||||
\(496\) | −8.83835 | + | 5.68006i | −0.396854 | + | 0.255042i | ||||
\(497\) | 11.4799 | − | 13.2485i | 0.514942 | − | 0.594275i | ||||
\(498\) | −7.12065 | + | 15.5920i | −0.319084 | + | 0.698696i | ||||
\(499\) | −10.8612 | − | 6.98007i | −0.486214 | − | 0.312471i | 0.274467 | − | 0.961597i | \(-0.411499\pi\) |
−0.760681 | + | 0.649126i | \(0.775135\pi\) | |||||||
\(500\) | −0.959493 | + | 0.281733i | −0.0429098 | + | 0.0125995i | ||||
\(501\) | −7.22677 | − | 8.34014i | −0.322868 | − | 0.372610i | ||||
\(502\) | −0.0877053 | − | 0.0257526i | −0.00391448 | − | 0.00114939i | ||||
\(503\) | 6.61485 | + | 14.4845i | 0.294941 | + | 0.645832i | 0.997856 | − | 0.0654422i | \(-0.0208458\pi\) |
−0.702915 | + | 0.711274i | \(0.748119\pi\) | |||||||
\(504\) | 0.201675 | − | 1.40268i | 0.00898330 | − | 0.0624802i | ||||
\(505\) | 16.5807 | 0.737832 | ||||||||
\(506\) | 6.46541 | + | 18.3562i | 0.287422 | + | 0.816031i | ||||
\(507\) | 1.26473 | 0.0561688 | ||||||||
\(508\) | −0.820780 | + | 5.70865i | −0.0364162 | + | 0.253281i | ||||
\(509\) | 5.41142 | + | 11.8494i | 0.239857 | + | 0.525214i | 0.990829 | − | 0.135120i | \(-0.0431420\pi\) |
−0.750972 | + | 0.660334i | \(0.770415\pi\) | |||||||
\(510\) | −0.685140 | − | 0.201175i | −0.0303385 | − | 0.00890818i | ||||
\(511\) | 2.19242 | + | 2.53019i | 0.0969870 | + | 0.111929i | ||||
\(512\) | −0.959493 | + | 0.281733i | −0.0424040 | + | 0.0124509i | ||||
\(513\) | 4.43670 | + | 2.85130i | 0.195885 | + | 0.125888i | ||||
\(514\) | 10.6502 | − | 23.3206i | 0.469759 | − | 1.02863i | ||||
\(515\) | 7.27734 | − | 8.39850i | 0.320678 | − | 0.370082i | ||||
\(516\) | −1.00410 | + | 0.645298i | −0.0442032 | + | 0.0284076i | ||||
\(517\) | 3.60273 | + | 25.0575i | 0.158448 | + | 1.10203i | ||||
\(518\) | −0.384491 | − | 2.67419i | −0.0168936 | − | 0.117497i | ||||
\(519\) | 2.29553 | − | 1.47525i | 0.100763 | − | 0.0647563i | ||||
\(520\) | 2.47332 | − | 2.85437i | 0.108462 | − | 0.125172i | ||||
\(521\) | −1.09982 | + | 2.40827i | −0.0481841 | + | 0.105508i | −0.932193 | − | 0.361962i | \(-0.882107\pi\) |
0.884009 | + | 0.467470i | \(0.154834\pi\) | |||||||
\(522\) | 5.33745 | + | 3.43017i | 0.233614 | + | 0.150134i | ||||
\(523\) | 0.221422 | − | 0.0650154i | 0.00968212 | − | 0.00284293i | −0.276888 | − | 0.960902i | \(-0.589303\pi\) |
0.286570 | + | 0.958059i | \(0.407485\pi\) | |||||||
\(524\) | −5.42168 | − | 6.25695i | −0.236847 | − | 0.273336i | ||||
\(525\) | 1.35970 | + | 0.399244i | 0.0593421 | + | 0.0174244i | ||||
\(526\) | 1.11758 | + | 2.44715i | 0.0487287 | + | 0.106701i | ||||
\(527\) | 1.06766 | − | 7.42572i | 0.0465079 | − | 0.323469i | ||||
\(528\) | −4.05801 | −0.176602 | ||||||||
\(529\) | −17.9231 | + | 14.4139i | −0.779266 | + | 0.626693i | ||||
\(530\) | 12.2251 | 0.531023 | ||||||||
\(531\) | −1.72914 | + | 12.0264i | −0.0750381 | + | 0.521902i | ||||
\(532\) | −3.10468 | − | 6.79830i | −0.134605 | − | 0.294744i | ||||
\(533\) | 41.1716 | + | 12.0891i | 1.78334 | + | 0.523636i | ||||
\(534\) | 5.39245 | + | 6.22321i | 0.233354 | + | 0.269305i | ||||
\(535\) | −14.3810 | + | 4.22265i | −0.621746 | + | 0.182561i | ||||
\(536\) | 9.10257 | + | 5.84987i | 0.393171 | + | 0.252676i | ||||
\(537\) | −1.00873 | + | 2.20880i | −0.0435297 | + | 0.0953168i | ||||
\(538\) | 7.06003 | − | 8.14771i | 0.304380 | − | 0.351273i | ||||
\(539\) | 17.0412 | − | 10.9517i | 0.734014 | − | 0.471722i | ||||
\(540\) | −0.142315 | − | 0.989821i | −0.00612426 | − | 0.0425951i | ||||
\(541\) | −1.92186 | − | 13.3668i | −0.0826270 | − | 0.574683i | −0.988510 | − | 0.151155i | \(-0.951701\pi\) |
0.905883 | − | 0.423528i | \(-0.139208\pi\) | |||||||
\(542\) | 23.1751 | − | 14.8937i | 0.995455 | − | 0.639740i | ||||
\(543\) | −4.44906 | + | 5.13449i | −0.190928 | + | 0.220342i | ||||
\(544\) | 0.296633 | − | 0.649536i | 0.0127180 | − | 0.0278486i | ||||
\(545\) | 4.66562 | + | 2.99841i | 0.199853 | + | 0.128438i | ||||
\(546\) | −5.13540 | + | 1.50789i | −0.219775 | + | 0.0645318i | ||||
\(547\) | 25.4593 | + | 29.3816i | 1.08856 | + | 1.25627i | 0.964525 | + | 0.263990i | \(0.0850387\pi\) |
0.124037 | + | 0.992278i | \(0.460416\pi\) | |||||||
\(548\) | −1.75150 | − | 0.514288i | −0.0748205 | − | 0.0219693i | ||||
\(549\) | −4.37254 | − | 9.57452i | −0.186615 | − | 0.408631i | ||||
\(550\) | 0.577515 | − | 4.01670i | 0.0246253 | − | 0.171273i | ||||
\(551\) | 33.4611 | 1.42549 | ||||||||
\(552\) | −1.59325 | − | 4.52345i | −0.0678131 | − | 0.192531i | ||||
\(553\) | 10.9781 | 0.466836 | ||||||||
\(554\) | −0.172350 | + | 1.19872i | −0.00732246 | + | 0.0509288i | ||||
\(555\) | −0.791986 | − | 1.73421i | −0.0336179 | − | 0.0736130i | ||||
\(556\) | 2.72511 | + | 0.800165i | 0.115571 | + | 0.0339346i | ||||
\(557\) | 6.25564 | + | 7.21939i | 0.265060 | + | 0.305895i | 0.872641 | − | 0.488362i | \(-0.162405\pi\) |
−0.607581 | + | 0.794258i | \(0.707860\pi\) | |||||||
\(558\) | 10.0806 | − | 2.95993i | 0.426745 | − | 0.125304i | ||||
\(559\) | 3.79236 | + | 2.43720i | 0.160400 | + | 0.103083i | ||||
\(560\) | −0.588685 | + | 1.28904i | −0.0248765 | + | 0.0544719i | ||||
\(561\) | 1.89758 | − | 2.18992i | 0.0801157 | − | 0.0924584i | ||||
\(562\) | −24.5872 | + | 15.8012i | −1.03715 | + | 0.666535i | ||||
\(563\) | 1.58100 | + | 10.9961i | 0.0666314 | + | 0.463431i | 0.995633 | + | 0.0933554i | \(0.0297593\pi\) |
−0.929001 | + | 0.370076i | \(0.879332\pi\) | |||||||
\(564\) | −0.887807 | − | 6.17483i | −0.0373834 | − | 0.260007i | ||||
\(565\) | 3.94618 | − | 2.53605i | 0.166017 | − | 0.106693i | ||||
\(566\) | 14.9806 | − | 17.2886i | 0.629684 | − | 0.726694i | ||||
\(567\) | −0.588685 | + | 1.28904i | −0.0247225 | + | 0.0541346i | ||||
\(568\) | 10.4067 | + | 6.68799i | 0.436656 | + | 0.280622i | ||||
\(569\) | −30.0764 | + | 8.83122i | −1.26087 | + | 0.370224i | −0.842817 | − | 0.538200i | \(-0.819104\pi\) |
−0.418050 | + | 0.908424i | \(0.637286\pi\) | |||||||
\(570\) | −3.45368 | − | 3.98576i | −0.144659 | − | 0.166945i | ||||
\(571\) | 11.4986 | + | 3.37629i | 0.481201 | + | 0.141293i | 0.513332 | − | 0.858190i | \(-0.328411\pi\) |
−0.0321306 | + | 0.999484i | \(0.510229\pi\) | |||||||
\(572\) | 6.36688 | + | 13.9415i | 0.266213 | + | 0.582925i | ||||
\(573\) | −2.76387 | + | 19.2231i | −0.115462 | + | 0.803057i | ||||
\(574\) | −16.1000 | −0.672000 | ||||||||
\(575\) | 4.70415 | − | 0.933277i | 0.196176 | − | 0.0389203i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −2.08892 | + | 14.5288i | −0.0869628 | + | 0.604840i | 0.899009 | + | 0.437930i | \(0.144288\pi\) |
−0.985972 | + | 0.166910i | \(0.946621\pi\) | |||||||
\(578\) | −6.85024 | − | 14.9999i | −0.284932 | − | 0.623915i | ||||
\(579\) | 2.73060 | + | 0.801776i | 0.113480 | + | 0.0333207i | ||||
\(580\) | −4.15485 | − | 4.79496i | −0.172521 | − | 0.199100i | ||||
\(581\) | −23.3067 | + | 6.84345i | −0.966923 | + | 0.283914i | ||||
\(582\) | −1.91006 | − | 1.22752i | −0.0791747 | − | 0.0508825i | ||||
\(583\) | −20.6085 | + | 45.1263i | −0.853517 | + | 1.86894i | ||||
\(584\) | −1.54712 | + | 1.78547i | −0.0640201 | + | 0.0738832i | ||||
\(585\) | −3.17730 | + | 2.04193i | −0.131365 | + | 0.0844234i | ||||
\(586\) | 3.35645 | + | 23.3447i | 0.138654 | + | 0.964359i | ||||
\(587\) | 5.43721 | + | 37.8166i | 0.224417 | + | 1.56086i | 0.721041 | + | 0.692892i | \(0.243664\pi\) |
−0.496624 | + | 0.867966i | \(0.665427\pi\) | |||||||
\(588\) | −4.19939 | + | 2.69878i | −0.173180 | + | 0.111296i | ||||
\(589\) | 36.2850 | − | 41.8751i | 1.49510 | − | 1.72543i | ||||
\(590\) | 5.04733 | − | 11.0521i | 0.207795 | − | 0.455008i | ||||
\(591\) | −6.61652 | − | 4.25218i | −0.272167 | − | 0.174911i | ||||
\(592\) | 1.82927 | − | 0.537121i | 0.0751824 | − | 0.0220755i | ||||
\(593\) | −9.51998 | − | 10.9866i | −0.390939 | − | 0.451167i | 0.525828 | − | 0.850591i | \(-0.323756\pi\) |
−0.916766 | + | 0.399424i | \(0.869210\pi\) | |||||||
\(594\) | 3.89363 | + | 1.14327i | 0.159758 | + | 0.0469090i | ||||
\(595\) | −0.420359 | − | 0.920458i | −0.0172330 | − | 0.0377351i | ||||
\(596\) | 2.54268 | − | 17.6847i | 0.104152 | − | 0.724394i | ||||
\(597\) | 19.2096 | 0.786197 | ||||||||
\(598\) | −13.0408 | + | 12.5708i | −0.533279 | + | 0.514060i | ||||
\(599\) | 22.2124 | 0.907573 | 0.453787 | − | 0.891110i | \(-0.350073\pi\) | ||||
0.453787 | + | 0.891110i | \(0.350073\pi\) | |||||||
\(600\) | −0.142315 | + | 0.989821i | −0.00580998 | + | 0.0404093i | ||||
\(601\) | −14.8989 | − | 32.6241i | −0.607740 | − | 1.33077i | −0.924109 | − | 0.382129i | \(-0.875191\pi\) |
0.316369 | − | 0.948636i | \(-0.397536\pi\) | |||||||
\(602\) | −1.62291 | − | 0.476529i | −0.0661448 | − | 0.0194219i | ||||
\(603\) | −7.08575 | − | 8.17740i | −0.288554 | − | 0.333009i | ||||
\(604\) | −15.5536 | + | 4.56695i | −0.632868 | + | 0.185827i | ||||
\(605\) | 4.59948 | + | 2.95591i | 0.186996 | + | 0.120175i | ||||
\(606\) | 6.88788 | − | 15.0824i | 0.279801 | − | 0.612679i | ||||
\(607\) | −24.0284 | + | 27.7303i | −0.975283 | + | 1.12554i | 0.0167883 | + | 0.999859i | \(0.494656\pi\) |
−0.992071 | + | 0.125677i | \(0.959890\pi\) | |||||||
\(608\) | 4.43670 | − | 2.85130i | 0.179932 | − | 0.115635i | ||||
\(609\) | 1.27955 | + | 8.89948i | 0.0518500 | + | 0.360625i | ||||
\(610\) | 1.49796 | + | 10.4186i | 0.0606508 | + | 0.421836i | ||||
\(611\) | −19.8211 | + | 12.7382i | −0.801874 | + | 0.515333i | ||||
\(612\) | −0.467613 | + | 0.539654i | −0.0189021 | + | 0.0218142i | ||||
\(613\) | 8.80916 | − | 19.2894i | 0.355799 | − | 0.779090i | −0.644101 | − | 0.764940i | \(-0.722768\pi\) |
0.999900 | − | 0.0141502i | \(-0.00450429\pi\) | |||||||
\(614\) | 17.6556 | + | 11.3466i | 0.712521 | + | 0.457910i | ||||
\(615\) | −10.9010 | + | 3.20082i | −0.439571 | + | 0.129070i | ||||
\(616\) | −3.76585 | − | 4.34602i | −0.151730 | − | 0.175106i | ||||
\(617\) | 1.46014 | + | 0.428735i | 0.0587829 | + | 0.0172602i | 0.310992 | − | 0.950413i | \(-0.399339\pi\) |
−0.252209 | + | 0.967673i | \(0.581157\pi\) | |||||||
\(618\) | −4.61643 | − | 10.1086i | −0.185700 | − | 0.406626i | ||||
\(619\) | −1.85317 | + | 12.8891i | −0.0744854 | + | 0.518057i | 0.918085 | + | 0.396384i | \(0.129735\pi\) |
−0.992570 | + | 0.121673i | \(0.961174\pi\) | |||||||
\(620\) | −10.5062 | −0.421938 | ||||||||
\(621\) | 0.254308 | + | 4.78908i | 0.0102050 | + | 0.192179i | ||||
\(622\) | −2.35259 | −0.0943302 | ||||||||
\(623\) | −1.66069 | + | 11.5503i | −0.0665341 | + | 0.462754i | ||||
\(624\) | −1.56897 | − | 3.43556i | −0.0628090 | − | 0.137532i | ||||
\(625\) | −0.959493 | − | 0.281733i | −0.0383797 | − | 0.0112693i | ||||
\(626\) | −21.7103 | − | 25.0550i | −0.867717 | − | 1.00140i | ||||
\(627\) | 20.5347 | − | 6.02953i | 0.820077 | − | 0.240796i | ||||
\(628\) | 2.31893 | + | 1.49029i | 0.0925354 | + | 0.0594689i | ||||
\(629\) | −0.565529 | + | 1.23834i | −0.0225491 | + | 0.0493757i | ||||
\(630\) | 0.928004 | − | 1.07097i | 0.0369726 | − | 0.0426686i | ||||
\(631\) | −23.1084 | + | 14.8509i | −0.919930 | + | 0.591203i | −0.912637 | − | 0.408770i | \(-0.865958\pi\) |
−0.00729265 | + | 0.999973i | \(0.502321\pi\) | |||||||
\(632\) | 1.10249 | + | 7.66802i | 0.0438549 | + | 0.305017i | ||||
\(633\) | −0.118400 | − | 0.823488i | −0.00470596 | − | 0.0327307i | ||||
\(634\) | 10.6675 | − | 6.85557i | 0.423659 | − | 0.272269i | ||||
\(635\) | −3.77682 | + | 4.35868i | −0.149878 | + | 0.172969i | ||||
\(636\) | 5.07848 | − | 11.1203i | 0.201375 | − | 0.440949i | ||||
\(637\) | 15.8605 | + | 10.1930i | 0.628418 | + | 0.403859i | ||||
\(638\) | 24.7037 | − | 7.25365i | 0.978027 | − | 0.287175i | ||||
\(639\) | −8.10094 | − | 9.34899i | −0.320468 | − | 0.369840i | ||||
\(640\) | −0.959493 | − | 0.281733i | −0.0379273 | − | 0.0111365i | ||||
\(641\) | −0.0353686 | − | 0.0774463i | −0.00139697 | − | 0.00305895i | 0.908932 | − | 0.416944i | \(-0.136899\pi\) |
−0.910329 | + | 0.413885i | \(0.864172\pi\) | |||||||
\(642\) | −2.13303 | + | 14.8356i | −0.0841842 | + | 0.585514i | ||||
\(643\) | −21.2929 | −0.839708 | −0.419854 | − | 0.907592i | \(-0.637919\pi\) | ||||
−0.419854 | + | 0.907592i | \(0.637919\pi\) | |||||||
\(644\) | 3.36595 | − | 5.90410i | 0.132637 | − | 0.232654i | ||||
\(645\) | −1.19358 | −0.0469971 | ||||||||
\(646\) | −0.535946 | + | 3.72759i | −0.0210865 | + | 0.146660i | ||||
\(647\) | −8.30915 | − | 18.1945i | −0.326666 | − | 0.715300i | 0.673038 | − | 0.739608i | \(-0.264989\pi\) |
−0.999705 | + | 0.0243082i | \(0.992262\pi\) | |||||||
\(648\) | −0.959493 | − | 0.281733i | −0.0376924 | − | 0.0110675i | ||||
\(649\) | 32.2880 | + | 37.2623i | 1.26741 | + | 1.46267i | ||||
\(650\) | 3.62388 | − | 1.06407i | 0.142140 | − | 0.0417361i | ||||
\(651\) | 12.5248 | + | 8.04922i | 0.490887 | + | 0.315474i | ||||
\(652\) | 7.93098 | − | 17.3664i | 0.310601 | − | 0.680121i | ||||
\(653\) | 20.8583 | − | 24.0718i | 0.816250 | − | 0.942002i | −0.182904 | − | 0.983131i | \(-0.558550\pi\) |
0.999154 | + | 0.0411283i | \(0.0130952\pi\) | |||||||
\(654\) | 4.66562 | − | 2.99841i | 0.182440 | − | 0.117247i | ||||
\(655\) | −1.17824 | − | 8.19486i | −0.0460378 | − | 0.320200i | ||||
\(656\) | −1.61687 | − | 11.2456i | −0.0631281 | − | 0.439065i | ||||
\(657\) | 1.98747 | − | 1.27727i | 0.0775387 | − | 0.0498311i | ||||
\(658\) | 5.78919 | − | 6.68109i | 0.225686 | − | 0.260456i | ||||
\(659\) | −8.86826 | + | 19.4188i | −0.345458 | + | 0.756448i | 0.654542 | + | 0.756026i | \(0.272862\pi\) |
−1.00000 | 0.000422106i | \(0.999866\pi\) | ||||||||
\(660\) | −3.41381 | − | 2.19392i | −0.132882 | − | 0.0853984i | ||||
\(661\) | 11.8204 | − | 3.47079i | 0.459762 | − | 0.134998i | −0.0436462 | − | 0.999047i | \(-0.513897\pi\) |
0.503408 | + | 0.864049i | \(0.332079\pi\) | |||||||
\(662\) | 20.3168 | + | 23.4469i | 0.789636 | + | 0.911288i | ||||
\(663\) | 2.58768 | + | 0.759812i | 0.100497 | + | 0.0295087i | ||||
\(664\) | −7.12065 | − | 15.5920i | −0.276335 | − | 0.605089i | ||||
\(665\) | 1.06362 | − | 7.39761i | 0.0412452 | − | 0.286867i | ||||
\(666\) | −1.90649 | −0.0738751 | ||||||||
\(667\) | 17.7847 | + | 24.6892i | 0.688627 | + | 0.955968i | ||||
\(668\) | 11.0356 | 0.426980 | ||||||||
\(669\) | −1.52091 | + | 10.5782i | −0.0588018 | + | 0.408975i | ||||
\(670\) | 4.49489 | + | 9.84244i | 0.173653 | + | 0.380247i | ||||
\(671\) | −40.9832 | − | 12.0338i | −1.58214 | − | 0.464558i | ||||
\(672\) | 0.928004 | + | 1.07097i | 0.0357985 | + | 0.0413137i | ||||
\(673\) | 1.80276 | − | 0.529339i | 0.0694914 | − | 0.0204045i | −0.246802 | − | 0.969066i | \(-0.579380\pi\) |
0.316293 | + | 0.948661i | \(0.397562\pi\) | |||||||
\(674\) | 8.01500 | + | 5.15093i | 0.308726 | + | 0.198406i | ||||
\(675\) | 0.415415 | − | 0.909632i | 0.0159893 | − | 0.0350118i | ||||
\(676\) | −0.828225 | + | 0.955823i | −0.0318548 | + | 0.0367624i | ||||
\(677\) | −11.4947 | + | 7.38722i | −0.441779 | + | 0.283914i | −0.742560 | − | 0.669779i | \(-0.766389\pi\) |
0.300782 | + | 0.953693i | \(0.402752\pi\) | |||||||
\(678\) | −0.667574 | − | 4.64308i | −0.0256380 | − | 0.178316i | ||||
\(679\) | −0.457902 | − | 3.18477i | −0.0175726 | − | 0.122220i | ||||
\(680\) | 0.600709 | − | 0.386052i | 0.0230361 | − | 0.0148044i | ||||
\(681\) | −10.5601 | + | 12.1870i | −0.404663 | + | 0.467006i | ||||
\(682\) | 17.7108 | − | 38.7813i | 0.678183 | − | 1.48501i | ||||
\(683\) | −12.7842 | − | 8.21593i | −0.489175 | − | 0.314374i | 0.272698 | − | 0.962100i | \(-0.412084\pi\) |
−0.761874 | + | 0.647726i | \(0.775720\pi\) | |||||||
\(684\) | −5.06029 | + | 1.48584i | −0.193485 | + | 0.0568123i | ||||
\(685\) | −1.19541 | − | 1.37958i | −0.0456744 | − | 0.0527111i | ||||
\(686\) | −16.3053 | − | 4.78766i | −0.622538 | − | 0.182794i | ||||
\(687\) | 2.18015 | + | 4.77387i | 0.0831780 | + | 0.182134i | ||||
\(688\) | 0.169864 | − | 1.18143i | 0.00647600 | − | 0.0450416i | ||||
\(689\) | −46.1725 | −1.75903 | ||||||||
\(690\) | 1.10523 | − | 4.66674i | 0.0420756 | − | 0.177660i | ||||
\(691\) | −10.1343 | −0.385527 | −0.192763 | − | 0.981245i | \(-0.561745\pi\) | ||||
−0.192763 | + | 0.981245i | \(0.561745\pi\) | |||||||
\(692\) | −0.388336 | + | 2.70093i | −0.0147623 | + | 0.102674i | ||||
\(693\) | 2.38889 | + | 5.23094i | 0.0907464 | + | 0.198707i | ||||
\(694\) | 25.8519 | + | 7.59080i | 0.981324 | + | 0.288143i | ||||
\(695\) | 1.85991 | + | 2.14645i | 0.0705504 | + | 0.0814195i | ||||
\(696\) | −6.08763 | + | 1.78749i | −0.230751 | + | 0.0677546i | ||||
\(697\) | 6.82478 | + | 4.38602i | 0.258507 | + | 0.166132i | ||||
\(698\) | 12.0747 | − | 26.4400i | 0.457036 | − | 1.00077i | ||||
\(699\) | 13.7764 | − | 15.8989i | 0.521073 | − | 0.601350i | ||||
\(700\) | −1.19214 | + | 0.766143i | −0.0450587 | + | 0.0289575i | ||||
\(701\) | 0.499188 | + | 3.47193i | 0.0188541 | + | 0.131133i | 0.997075 | − | 0.0764358i | \(-0.0243540\pi\) |
−0.978220 | + | 0.207569i | \(0.933445\pi\) | |||||||
\(702\) | 0.537504 | + | 3.73843i | 0.0202868 | + | 0.141098i | ||||
\(703\) | −8.45855 | + | 5.43598i | −0.319020 | + | 0.205022i | ||||
\(704\) | 2.65743 | − | 3.06684i | 0.100156 | − | 0.115586i | ||||
\(705\) | 2.59150 | − | 5.67458i | 0.0976014 | − | 0.213717i | ||||
\(706\) | −8.00758 | − | 5.14616i | −0.301369 | − | 0.193678i | ||||
\(707\) | 22.5448 | − | 6.61975i | 0.847884 | − | 0.248961i | ||||
\(708\) | −7.95661 | − | 9.18242i | −0.299028 | − | 0.345096i | ||||
\(709\) | 27.7501 | + | 8.14817i | 1.04218 | + | 0.306011i | 0.757653 | − | 0.652658i | \(-0.226346\pi\) |
0.284525 | + | 0.958669i | \(0.408164\pi\) | |||||||
\(710\) | 5.13888 | + | 11.2526i | 0.192859 | + | 0.422302i | ||||
\(711\) | 1.10249 | − | 7.66802i | 0.0413468 | − | 0.287573i | ||||
\(712\) | −8.23449 | −0.308601 | ||||||||
\(713\) | 50.1830 | + | 4.51595i | 1.87937 | + | 0.169124i | ||||
\(714\) | −1.01190 | −0.0378695 | ||||||||
\(715\) | −2.18120 | + | 15.1706i | −0.0815721 | + | 0.567347i | ||||
\(716\) | −1.00873 | − | 2.20880i | −0.0376979 | − | 0.0825468i | ||||
\(717\) | 3.07987 | + | 0.904333i | 0.115020 | + | 0.0337729i | ||||
\(718\) | −15.7334 | − | 18.1573i | −0.587165 | − | 0.677625i | ||||
\(719\) | −6.98501 | + | 2.05098i | −0.260497 | + | 0.0764888i | −0.409373 | − | 0.912367i | \(-0.634253\pi\) |
0.148876 | + | 0.988856i | \(0.452434\pi\) | |||||||
\(720\) | 0.841254 | + | 0.540641i | 0.0313517 | + | 0.0201485i | ||||
\(721\) | 6.54194 | − | 14.3249i | 0.243635 | − | 0.533486i | ||||
\(722\) | −5.77210 | + | 6.66136i | −0.214815 | + | 0.247910i | ||||
\(723\) | −3.80446 | + | 2.44497i | −0.141489 | + | 0.0909296i | ||||
\(724\) | −0.966874 | − | 6.72476i | −0.0359336 | − | 0.249924i | ||||
\(725\) | −0.902936 | − | 6.28006i | −0.0335342 | − | 0.233235i | ||||
\(726\) | 4.59948 | − | 2.95591i | 0.170703 | − | 0.109704i | ||||
\(727\) | 17.7978 | − | 20.5398i | 0.660084 | − | 0.761778i | −0.322707 | − | 0.946499i | \(-0.604593\pi\) |
0.982791 | + | 0.184721i | \(0.0591383\pi\) | |||||||
\(728\) | 2.22339 | − | 4.86854i | 0.0824042 | − | 0.180440i | ||||
\(729\) | 0.841254 | + | 0.540641i | 0.0311575 | + | 0.0200237i | ||||
\(730\) | −2.26681 | + | 0.665597i | −0.0838985 | + | 0.0246348i | ||||
\(731\) | 0.558133 | + | 0.644119i | 0.0206433 | + | 0.0238236i | ||||
\(732\) | 10.0993 | + | 2.96543i | 0.373282 | + | 0.109606i | ||||
\(733\) | 0.166065 | + | 0.363632i | 0.00613376 | + | 0.0134311i | 0.912674 | − | 0.408688i | \(-0.134014\pi\) |
−0.906540 | + | 0.422119i | \(0.861286\pi\) | |||||||
\(734\) | −1.85815 | + | 12.9237i | −0.0685854 | + | 0.477022i | ||||
\(735\) | −4.99182 | −0.184126 | ||||||||
\(736\) | 4.46195 | + | 1.75813i | 0.164470 | + | 0.0648056i | ||||
\(737\) | −43.9086 | −1.61739 | ||||||||
\(738\) | −1.61687 | + | 11.2456i | −0.0595177 | + | 0.413955i | ||||
\(739\) | 13.4977 | + | 29.5558i | 0.496520 | + | 1.08723i | 0.977585 | + | 0.210543i | \(0.0675231\pi\) |
−0.481064 | + | 0.876685i | \(0.659750\pi\) | |||||||
\(740\) | 1.82927 | + | 0.537121i | 0.0672452 | + | 0.0197450i | ||||
\(741\) | 13.0441 | + | 15.0537i | 0.479187 | + | 0.553012i | ||||
\(742\) | 16.6224 | − | 4.88078i | 0.610228 | − | 0.179179i | ||||
\(743\) | −1.50703 | − | 0.968512i | −0.0552877 | − | 0.0355313i | 0.512705 | − | 0.858565i | \(-0.328643\pi\) |
−0.567993 | + | 0.823034i | \(0.692280\pi\) | |||||||
\(744\) | −4.36442 | + | 9.55674i | −0.160007 | + | 0.350367i | ||||
\(745\) | 11.7001 | − | 13.5026i | 0.428659 | − | 0.494699i | ||||
\(746\) | 0.143412 | − | 0.0921655i | 0.00525070 | − | 0.00337442i | ||||
\(747\) | 2.43942 | + | 16.9666i | 0.0892539 | + | 0.620774i | ||||
\(748\) | 0.412382 | + | 2.86818i | 0.0150782 | + | 0.104871i | ||||
\(749\) | −17.8680 | + | 11.4831i | −0.652882 | + | 0.419582i | ||||
\(750\) | −0.654861 | + | 0.755750i | −0.0239121 | + | 0.0275961i | ||||
\(751\) | 16.4228 | − | 35.9610i | 0.599278 | − | 1.31224i | −0.330392 | − | 0.943844i | \(-0.607181\pi\) |
0.929670 | − | 0.368392i | \(-0.120092\pi\) | |||||||
\(752\) | 5.24802 | + | 3.37270i | 0.191375 | + | 0.122990i | ||||
\(753\) | −0.0877053 | + | 0.0257526i | −0.00319616 | + | 0.000938476i | ||||
\(754\) | 15.6923 | + | 18.1099i | 0.571481 | + | 0.659524i | ||||
\(755\) | −15.5536 | − | 4.56695i | −0.566054 | − | 0.166208i | ||||
\(756\) | −0.588685 | − | 1.28904i | −0.0214103 | − | 0.0468820i | ||||
\(757\) | 0.563747 | − | 3.92094i | 0.0204897 | − | 0.142509i | −0.977009 | − | 0.213200i | \(-0.931611\pi\) |
0.997498 | + | 0.0706910i | \(0.0225204\pi\) | |||||||
\(758\) | −8.92415 | −0.324140 | ||||||||
\(759\) | 15.3631 | + | 11.9467i | 0.557647 | + | 0.433639i | ||||
\(760\) | 5.27392 | 0.191305 | ||||||||
\(761\) | 2.94904 | − | 20.5110i | 0.106902 | − | 0.743523i | −0.863904 | − | 0.503657i | \(-0.831988\pi\) |
0.970806 | − | 0.239866i | \(-0.0771034\pi\) | |||||||
\(762\) | 2.39585 | + | 5.24617i | 0.0867924 | + | 0.190049i | ||||
\(763\) | 7.54093 | + | 2.21422i | 0.273000 | + | 0.0801600i | ||||
\(764\) | −12.7179 | − | 14.6772i | −0.460118 | − | 0.531004i | ||||
\(765\) | −0.685140 | + | 0.201175i | −0.0247713 | + | 0.00727350i | ||||
\(766\) | 17.8014 | + | 11.4402i | 0.643190 | + | 0.413353i | ||||
\(767\) | −19.0631 | + | 41.7423i | −0.688328 | + | 1.50723i | ||||
\(768\) | −0.654861 | + | 0.755750i | −0.0236303 | + | 0.0272708i | ||||
\(769\) | −10.8500 | + | 6.97287i | −0.391261 | + | 0.251448i | −0.721450 | − | 0.692467i | \(-0.756524\pi\) |
0.330189 | + | 0.943915i | \(0.392888\pi\) | |||||||
\(770\) | −0.818397 | − | 5.69207i | −0.0294930 | − | 0.205128i | ||||
\(771\) | −3.64859 | − | 25.3765i | −0.131401 | − | 0.913911i | ||||
\(772\) | −2.39410 | + | 1.53860i | −0.0861657 | + | 0.0553753i | ||||
\(773\) | 20.8600 | − | 24.0737i | 0.750281 | − | 0.865871i | −0.244314 | − | 0.969696i | \(-0.578563\pi\) |
0.994596 | + | 0.103825i | \(0.0331083\pi\) | |||||||
\(774\) | −0.495831 | + | 1.08572i | −0.0178223 | + | 0.0390253i | ||||
\(775\) | −8.83835 | − | 5.68006i | −0.317483 | − | 0.204034i | ||||
\(776\) | 2.17853 | − | 0.639673i | 0.0782045 | − | 0.0229629i | ||||
\(777\) | −1.76923 | − | 2.04180i | −0.0634709 | − | 0.0732493i | ||||
\(778\) | −18.7914 | − | 5.51765i | −0.673703 | − | 0.197817i | ||||
\(779\) | 24.8909 | + | 54.5034i | 0.891808 | + | 1.95279i | ||||
\(780\) | 0.537504 | − | 3.73843i | 0.0192457 | − | 0.133857i | ||||
\(781\) | −50.1995 | −1.79628 | ||||||||
\(782\) | −3.03524 | + | 1.58578i | −0.108540 | + | 0.0567075i | ||||
\(783\) | 6.34463 | 0.226739 | ||||||||
\(784\) | 0.710411 | − | 4.94101i | 0.0253718 | − | 0.176465i | ||||
\(785\) | 1.14510 | + | 2.50742i | 0.0408703 | + | 0.0894935i | ||||
\(786\) | −7.94377 | − | 2.33250i | −0.283345 | − | 0.0831976i | ||||
\(787\) | −4.93886 | − | 5.69975i | −0.176051 | − | 0.203174i | 0.660865 | − | 0.750505i | \(-0.270190\pi\) |
−0.836917 | + | 0.547331i | \(0.815644\pi\) | |||||||
\(788\) | 7.54648 | − | 2.21585i | 0.268832 | − | 0.0789363i | ||||
\(789\) | 2.26320 | + | 1.45447i | 0.0805719 | + | 0.0517804i | ||||
\(790\) | −3.21817 | + | 7.04680i | −0.114497 | + | 0.250714i | ||||
\(791\) | 4.35311 | − | 5.02375i | 0.154779 | − | 0.178624i | ||||
\(792\) | −3.41381 | + | 2.19392i | −0.121305 | + | 0.0779577i | ||||
\(793\) | −5.65761 | − | 39.3496i | −0.200908 | − | 1.39734i | ||||
\(794\) | −0.335815 | − | 2.33565i | −0.0119176 | − | 0.0828890i | ||||
\(795\) | 10.2844 | − | 6.60938i | 0.364750 | − | 0.234410i | ||||
\(796\) | −12.5796 | + | 14.5177i | −0.445873 | + | 0.514565i | ||||
\(797\) | 3.65099 | − | 7.99454i | 0.129325 | − | 0.283181i | −0.833882 | − | 0.551942i | \(-0.813887\pi\) |
0.963207 | + | 0.268761i | \(0.0866142\pi\) | |||||||
\(798\) | −6.28726 | − | 4.04058i | −0.222567 | − | 0.143035i | ||||
\(799\) | −4.27413 | + | 1.25500i | −0.151208 | + | 0.0443986i | ||||
\(800\) | −0.654861 | − | 0.755750i | −0.0231528 | − | 0.0267198i | ||||
\(801\) | 7.90094 | + | 2.31992i | 0.279166 | + | 0.0819705i | ||||
\(802\) | −13.4930 | − | 29.5455i | −0.476454 | − | 1.04329i | ||||
\(803\) | 1.36439 | − | 9.48951i | 0.0481481 | − | 0.334877i | ||||
\(804\) | 10.8202 | 0.381601 | ||||||||
\(805\) | 6.02362 | − | 3.14708i | 0.212305 | − | 0.110920i | ||||
\(806\) | 39.6804 | 1.39768 | ||||||||
\(807\) | 1.53429 | − | 10.6712i | 0.0540096 | − | 0.375645i | ||||
\(808\) | 6.88788 | + | 15.0824i | 0.242315 | + | 0.530595i | ||||
\(809\) | −5.66123 | − | 1.66229i | −0.199038 | − | 0.0584429i | 0.180694 | − | 0.983539i | \(-0.442166\pi\) |
−0.379732 | + | 0.925096i | \(0.623984\pi\) | |||||||
\(810\) | −0.654861 | − | 0.755750i | −0.0230095 | − | 0.0265543i | ||||
\(811\) | 36.6361 | − | 10.7573i | 1.28647 | − | 0.377741i | 0.434185 | − | 0.900824i | \(-0.357037\pi\) |
0.852281 | + | 0.523083i | \(0.175218\pi\) | |||||||
\(812\) | −7.56370 | − | 4.86090i | −0.265434 | − | 0.170584i | ||||
\(813\) | 11.4440 | − | 25.0588i | 0.401357 | − | 0.878850i | ||||
\(814\) | −5.06637 | + | 5.84690i | −0.177576 | + | 0.204934i | ||||
\(815\) | 16.0610 | − | 10.3217i | 0.562591 | − | 0.361555i | ||||
\(816\) | −0.101622 | − | 0.706796i | −0.00355748 | − | 0.0247428i | ||||
\(817\) | 0.895849 | + | 6.23077i | 0.0313418 | + | 0.217987i | ||||
\(818\) | −16.5518 | + | 10.6372i | −0.578718 | + | 0.371920i | ||||
\(819\) | −3.50495 | + | 4.04493i | −0.122473 | + | 0.141341i | ||||
\(820\) | 4.71961 | − | 10.3345i | 0.164816 | − | 0.360897i | ||||
\(821\) | 28.1631 | + | 18.0993i | 0.982898 | + | 0.631670i | 0.930243 | − | 0.366943i | \(-0.119596\pi\) |
0.0526541 | + | 0.998613i | \(0.483232\pi\) | |||||||
\(822\) | −1.75150 | + | 0.514288i | −0.0610907 | + | 0.0179378i | ||||
\(823\) | 16.3550 | + | 18.8747i | 0.570101 | + | 0.657931i | 0.965447 | − | 0.260601i | \(-0.0839207\pi\) |
−0.395346 | + | 0.918532i | \(0.629375\pi\) | |||||||
\(824\) | 10.6627 | + | 3.13084i | 0.371451 | + | 0.109068i | ||||
\(825\) | −1.68576 | − | 3.69129i | −0.0586905 | − | 0.128514i | ||||
\(826\) | 2.45036 | − | 17.0426i | 0.0852590 | − | 0.592989i | ||||
\(827\) | −6.00426 | −0.208788 | −0.104394 | − | 0.994536i | \(-0.533290\pi\) | ||||
−0.104394 | + | 0.994536i | \(0.533290\pi\) | |||||||
\(828\) | −3.78588 | − | 2.94399i | −0.131569 | − | 0.102311i | ||||
\(829\) | −40.3640 | −1.40190 | −0.700950 | − | 0.713211i | \(-0.747240\pi\) | ||||
−0.700950 | + | 0.713211i | \(0.747240\pi\) | |||||||
\(830\) | 2.43942 | − | 16.9666i | 0.0846737 | − | 0.588918i | ||||
\(831\) | 0.503088 | + | 1.10161i | 0.0174519 | + | 0.0382144i | ||||
\(832\) | 3.62388 | + | 1.06407i | 0.125635 | + | 0.0368899i | ||||
\(833\) | 2.33424 | + | 2.69386i | 0.0808766 | + | 0.0933366i | ||||
\(834\) | 2.72511 | − | 0.800165i | 0.0943630 | − | 0.0277075i | ||||
\(835\) | 9.28372 | + | 5.96629i | 0.321277 | + | 0.206472i | ||||
\(836\) | −8.89055 | + | 19.4676i | −0.307486 | + | 0.673300i | ||||
\(837\) | 6.88007 | − | 7.94003i | 0.237810 | − | 0.274448i | ||||
\(838\) | 6.60007 | − | 4.24161i | 0.227996 | − | 0.146524i | ||||
\(839\) | 4.24392 | + | 29.5171i | 0.146516 | + | 1.01904i | 0.921865 | + | 0.387511i | \(0.126665\pi\) |
−0.775349 | + | 0.631533i | \(0.782426\pi\) | |||||||
\(840\) | 0.201675 | + | 1.40268i | 0.00695843 | + | 0.0483970i | ||||
\(841\) | 9.46780 | − | 6.08458i | 0.326476 | − | 0.209813i | ||||
\(842\) | 17.6772 | − | 20.4006i | 0.609198 | − | 0.703052i | ||||
\(843\) | −12.1413 | + | 26.5857i | −0.418168 | + | 0.915661i | ||||
\(844\) | 0.699886 | + | 0.449789i | 0.0240911 | + | 0.0154824i | ||||
\(845\) | −1.21350 | + | 0.356317i | −0.0417458 | + | 0.0122577i | ||||
\(846\) | −4.08524 | − | 4.71461i | −0.140453 | − | 0.162092i | ||||
\(847\) | 7.43404 | + | 2.18283i | 0.255437 | + | 0.0750030i | ||||
\(848\) | 5.07848 | + | 11.1203i | 0.174396 | + | 0.381873i | ||||
\(849\) | 3.25561 | − | 22.6432i | 0.111732 | − | 0.777114i | ||||
\(850\) | 0.714064 | 0.0244922 | ||||||||
\(851\) | −8.50667 | − | 3.35186i | −0.291605 | − | 0.114900i | ||||
\(852\) | 12.3705 | 0.423806 | ||||||||
\(853\) | −0.710604 | + | 4.94236i | −0.0243306 | + | 0.169223i | −0.998364 | − | 0.0571823i | \(-0.981788\pi\) |
0.974033 | + | 0.226406i | \(0.0726975\pi\) | |||||||
\(854\) | 6.19633 | + | 13.5681i | 0.212034 | + | 0.464290i | ||||
\(855\) | −5.06029 | − | 1.48584i | −0.173058 | − | 0.0508145i | ||||
\(856\) | −9.81515 | − | 11.3273i | −0.335475 | − | 0.387159i | ||||
\(857\) | −22.3617 | + | 6.56599i | −0.763862 | + | 0.224290i | −0.640381 | − | 0.768057i | \(-0.721224\pi\) |
−0.123480 | + | 0.992347i | \(0.539406\pi\) | |||||||
\(858\) | 12.8935 | + | 8.28616i | 0.440178 | + | 0.282885i | ||||
\(859\) | −11.4046 | + | 24.9726i | −0.389121 | + | 0.852055i | 0.609138 | + | 0.793064i | \(0.291516\pi\) |
−0.998259 | + | 0.0589910i | \(0.981212\pi\) | |||||||
\(860\) | 0.781628 | − | 0.902047i | 0.0266533 | − | 0.0307595i | ||||
\(861\) | −13.5442 | + | 8.70431i | −0.461584 | + | 0.296642i | ||||
\(862\) | 2.60485 | + | 18.1171i | 0.0887214 | + | 0.617071i | ||||
\(863\) | 2.34829 | + | 16.3327i | 0.0799368 | + | 0.555972i | 0.989953 | + | 0.141399i | \(0.0451601\pi\) |
−0.910016 | + | 0.414573i | \(0.863931\pi\) | |||||||
\(864\) | 0.841254 | − | 0.540641i | 0.0286200 | − | 0.0183930i | ||||
\(865\) | −1.78692 | + | 2.06222i | −0.0607572 | + | 0.0701176i | ||||
\(866\) | 10.2664 | − | 22.4802i | 0.348866 | − | 0.763910i | ||||
\(867\) | −13.8724 | − | 8.91523i | −0.471130 | − | 0.302777i | ||||
\(868\) | −14.2852 | + | 4.19452i | −0.484872 | + | 0.142371i | ||||
\(869\) | −20.5868 | − | 23.7584i | −0.698358 | − | 0.805948i | ||||
\(870\) | −6.08763 | − | 1.78749i | −0.206390 | − | 0.0606016i | ||||
\(871\) | −16.9766 | − | 37.1736i | −0.575231 | − | 1.25958i | ||||
\(872\) | −0.789282 | + | 5.48958i | −0.0267285 | + | 0.185901i | ||||
\(873\) | −2.27050 | −0.0768447 | ||||||||
\(874\) | −25.1910 | − | 2.26693i | −0.852100 | − | 0.0766802i | ||||
\(875\) | −1.41710 | −0.0479068 | ||||||||
\(876\) | −0.336221 | + | 2.33847i | −0.0113598 | + | 0.0790094i | ||||
\(877\) | 19.6612 | + | 43.0520i | 0.663911 | + | 1.45376i | 0.878832 | + | 0.477132i | \(0.158324\pi\) |
−0.214920 | + | 0.976632i | \(0.568949\pi\) | |||||||
\(878\) | −5.72465 | − | 1.68091i | −0.193198 | − | 0.0567280i | ||||
\(879\) | 15.4447 | + | 17.8241i | 0.520937 | + | 0.601193i | ||||
\(880\) | 3.89363 | − | 1.14327i | 0.131254 | − | 0.0385397i | ||||
\(881\) | −39.2718 | − | 25.2384i | −1.32310 | − | 0.850305i | −0.327577 | − | 0.944824i | \(-0.606232\pi\) |
−0.995523 | + | 0.0945195i | \(0.969869\pi\) | |||||||
\(882\) | −2.07368 | + | 4.54072i | −0.0698244 | + | 0.152894i | ||||
\(883\) | 17.2126 | − | 19.8644i | 0.579249 | − | 0.668489i | −0.388194 | − | 0.921578i | \(-0.626901\pi\) |
0.967443 | + | 0.253089i | \(0.0814465\pi\) | |||||||
\(884\) | −2.26880 | + | 1.45807i | −0.0763080 | + | 0.0490402i | ||||
\(885\) | −1.72914 | − | 12.0264i | −0.0581243 | − | 0.404263i | ||||
\(886\) | −3.48655 | − | 24.2495i | −0.117133 | − | 0.814678i | ||||
\(887\) | −29.5698 | + | 19.0034i | −0.992857 | + | 0.638070i | −0.932902 | − | 0.360131i | \(-0.882732\pi\) |
−0.0599551 | + | 0.998201i | \(0.519096\pi\) | |||||||
\(888\) | 1.24849 | − | 1.44083i | 0.0418965 | − | 0.0483511i | ||||
\(889\) | −3.39516 | + | 7.43436i | −0.113870 | + | 0.249340i | ||||
\(890\) | −6.92730 | − | 4.45190i | −0.232204 | − | 0.149228i | ||||
\(891\) | 3.89363 | − | 1.14327i | 0.130441 | − | 0.0383011i | ||||
\(892\) | −6.99846 | − | 8.07665i | −0.234326 | − | 0.270426i | ||||
\(893\) | −31.5678 | − | 9.26913i | −1.05637 | − | 0.310180i | ||||
\(894\) | −7.42204 | − | 16.2520i | −0.248230 | − | 0.543548i | ||||
\(895\) | 0.345574 | − | 2.40352i | 0.0115513 | − | 0.0803408i | ||||
\(896\) | −1.41710 | −0.0473420 | ||||||||
\(897\) | −4.17432 | + | 17.6257i | −0.139377 | + | 0.588504i | ||||
\(898\) | 10.2082 | 0.340652 | ||||||||
\(899\) | 9.48639 | − | 65.9793i | 0.316389 | − | 2.20053i | ||||
\(900\) | 0.415415 | + | 0.909632i | 0.0138472 | + | 0.0303211i | ||||
\(901\) | −8.37588 | − | 2.45938i | −0.279041 | − | 0.0819339i | ||||
\(902\) | 30.1916 | + | 34.8430i | 1.00527 | + | 1.16014i | ||||
\(903\) | −1.62291 | + | 0.476529i | −0.0540070 | + | 0.0158579i | ||||
\(904\) | 3.94618 | + | 2.53605i | 0.131248 | + | 0.0843479i | ||||
\(905\) | 2.82229 | − | 6.17996i | 0.0938161 | − | 0.205429i | ||||
\(906\) | −10.6155 | + | 12.2509i | −0.352675 | + | 0.407008i | ||||
\(907\) | −47.7865 | + | 30.7105i | −1.58673 | + | 1.01973i | −0.613552 | + | 0.789654i | \(0.710260\pi\) |
−0.973174 | + | 0.230072i | \(0.926104\pi\) | |||||||
\(908\) | −2.29493 | − | 15.9616i | −0.0761598 | − | 0.529703i | ||||
\(909\) | −2.35968 | − | 16.4120i | −0.0782657 | − | 0.544350i | ||||
\(910\) | 4.50256 | − | 2.89362i | 0.149258 | − | 0.0959226i | ||||
\(911\) | −26.3151 | + | 30.3692i | −0.871858 | + | 1.00618i | 0.128039 | + | 0.991769i | \(0.459132\pi\) |
−0.999896 | + | 0.0144081i | \(0.995414\pi\) | |||||||
\(912\) | 2.19087 | − | 4.79733i | 0.0725468 | − | 0.158855i | ||||
\(913\) | 58.5163 | + | 37.6061i | 1.93661 | + | 1.24458i | ||||
\(914\) | −4.52454 | + | 1.32853i | −0.149659 | + | 0.0439437i | ||||
\(915\) | 6.89287 | + | 7.95480i | 0.227871 | + | 0.262978i | ||||
\(916\) | −5.03554 | − | 1.47857i | −0.166379 | − | 0.0488533i | ||||
\(917\) | −4.87380 | − | 10.6721i | −0.160947 | − | 0.352425i | ||||
\(918\) | −0.101622 | + | 0.706796i | −0.00335402 | + | 0.0233277i | ||||
\(919\) | −4.69115 | −0.154747 | −0.0773733 | − | 0.997002i | \(-0.524653\pi\) | ||||
−0.0773733 | + | 0.997002i | \(0.524653\pi\) | |||||||
\(920\) | 2.80311 | + | 3.89134i | 0.0924159 | + | 0.128294i | ||||
\(921\) | 20.9872 | 0.691553 | ||||||||
\(922\) | −1.36433 | + | 9.48910i | −0.0449317 | + | 0.312507i | ||||
\(923\) | −19.4089 | − | 42.4995i | −0.638851 | − | 1.39889i | ||||
\(924\) | −5.51767 | − | 1.62013i | −0.181518 | − | 0.0532985i | ||||
\(925\) | 1.24849 | + | 1.44083i | 0.0410500 | + | 0.0473742i | ||||
\(926\) | 15.5875 | − | 4.57692i | 0.512238 | − | 0.150407i | ||||
\(927\) | −9.34869 | − | 6.00804i | −0.307051 | − | 0.197330i | ||||
\(928\) | 2.63566 | − | 5.77128i | 0.0865197 | − | 0.189452i | ||||
\(929\) | 22.1596 | − | 25.5735i | 0.727032 | − | 0.839040i | −0.265102 | − | 0.964220i | \(-0.585406\pi\) |
0.992134 | + | 0.125181i | \(0.0399510\pi\) | |||||||
\(930\) | −8.83835 | + | 5.68006i | −0.289821 | + | 0.186257i | ||||
\(931\) | 3.74665 | + | 26.0585i | 0.122791 | + | 0.854033i | ||||
\(932\) | 2.99390 | + | 20.8231i | 0.0980686 | + | 0.682082i | ||||
\(933\) | −1.97912 | + | 1.27191i | −0.0647936 | + | 0.0416403i | ||||
\(934\) | −16.8223 | + | 19.4140i | −0.550444 | + | 0.635246i | ||||
\(935\) | −1.20374 | + | 2.63582i | −0.0393665 | + | 0.0862005i | ||||
\(936\) | −3.17730 | − | 2.04193i | −0.103853 | − | 0.0667425i | ||||
\(937\) | 25.7980 | − | 7.57498i | 0.842784 | − | 0.247464i | 0.168284 | − | 0.985739i | \(-0.446177\pi\) |
0.674500 | + | 0.738275i | \(0.264359\pi\) | |||||||
\(938\) | 10.0412 | + | 11.5882i | 0.327858 | + | 0.378368i | ||||
\(939\) | −31.8096 | − | 9.34014i | −1.03807 | − | 0.304804i | ||||
\(940\) | 2.59150 | + | 5.67458i | 0.0845253 | + | 0.185085i | ||||
\(941\) | 3.62421 | − | 25.2069i | 0.118146 | − | 0.821722i | −0.841449 | − | 0.540337i | \(-0.818297\pi\) |
0.959595 | − | 0.281386i | \(-0.0907940\pi\) | |||||||
\(942\) | 2.75652 | 0.0898122 | ||||||||
\(943\) | −26.9856 | + | 47.3344i | −0.878771 | + | 1.54142i | ||||
\(944\) | 12.1501 | 0.395451 | ||||||||
\(945\) | 0.201675 | − | 1.40268i | 0.00656047 | − | 0.0456291i | ||||
\(946\) | 2.01208 | + | 4.40585i | 0.0654185 | + | 0.143247i | ||||
\(947\) | 14.3358 | + | 4.20938i | 0.465852 | + | 0.136786i | 0.506231 | − | 0.862398i | \(-0.331038\pi\) |
−0.0403790 | + | 0.999184i | \(0.512857\pi\) | |||||||
\(948\) | 5.07312 | + | 5.85469i | 0.164767 | + | 0.190152i | ||||
\(949\) | 8.56146 | − | 2.51387i | 0.277917 | − | 0.0816037i | ||||
\(950\) | 4.43670 | + | 2.85130i | 0.143946 | + | 0.0925083i | ||||
\(951\) | 5.26765 | − | 11.5345i | 0.170815 | − | 0.374033i | ||||
\(952\) | 0.662654 | − | 0.764744i | 0.0214768 | − | 0.0247855i | ||||
\(953\) | −24.0104 | + | 15.4306i | −0.777773 | + | 0.499845i | −0.868294 | − | 0.496050i | \(-0.834783\pi\) |
0.0905206 | + | 0.995895i | \(0.471147\pi\) | |||||||
\(954\) | −1.73981 | − | 12.1006i | −0.0563284 | − | 0.391773i | ||||
\(955\) | −2.76387 | − | 19.2231i | −0.0894366 | − | 0.622045i | ||||
\(956\) | −2.70034 | + | 1.73540i | −0.0873352 | + | 0.0561269i | ||||
\(957\) | 16.8604 | − | 19.4580i | 0.545020 | − | 0.628987i | ||||
\(958\) | 7.69862 | − | 16.8576i | 0.248731 | − | 0.544645i | ||||
\(959\) | −2.17619 | − | 1.39855i | −0.0702729 | − | 0.0451616i | ||||
\(960\) | −0.959493 | + | 0.281733i | −0.0309675 | + | 0.00909288i | ||||
\(961\) | −51.9825 | − | 59.9910i | −1.67686 | − | 1.93519i | ||||
\(962\) | −6.90890 | − | 2.02864i | −0.222752 | − | 0.0654058i | ||||
\(963\) | 6.22630 | + | 13.6337i | 0.200640 | + | 0.439340i | ||||
\(964\) | 0.643600 | − | 4.47633i | 0.0207289 | − | 0.144173i | ||||
\(965\) | −2.84588 | −0.0916120 | ||||||||
\(966\) | −0.360380 | − | 6.78662i | −0.0115950 | − | 0.218356i | ||||
\(967\) | −38.4775 | −1.23735 | −0.618676 | − | 0.785646i | \(-0.712331\pi\) | ||||
−0.618676 | + | 0.785646i | \(0.712331\pi\) | |||||||
\(968\) | −0.778095 | + | 5.41177i | −0.0250089 | + | 0.173941i | ||||
\(969\) | 1.56442 | + | 3.42560i | 0.0502564 | + | 0.110046i | ||||
\(970\) | 2.17853 | + | 0.639673i | 0.0699483 | + | 0.0205387i | ||||
\(971\) | 2.67557 | + | 3.08777i | 0.0858630 | + | 0.0990912i | 0.797055 | − | 0.603906i | \(-0.206390\pi\) |
−0.711192 | + | 0.702998i | \(0.751844\pi\) | |||||||
\(972\) | −0.959493 | + | 0.281733i | −0.0307758 | + | 0.00903658i | ||||
\(973\) | 3.38587 | + | 2.17597i | 0.108546 | + | 0.0697583i | ||||
\(974\) | 7.11101 | − | 15.5709i | 0.227851 | − | 0.498925i | ||||
\(975\) | 2.47332 | − | 2.85437i | 0.0792097 | − | 0.0914129i | ||||
\(976\) | −8.85479 | + | 5.69063i | −0.283435 | + | 0.182153i | ||||
\(977\) | −0.939614 | − | 6.53516i | −0.0300609 | − | 0.209078i | 0.969255 | − | 0.246058i | \(-0.0791354\pi\) |
−0.999316 | + | 0.0369798i | \(0.988226\pi\) | |||||||
\(978\) | −2.71703 | − | 18.8974i | −0.0868811 | − | 0.604271i | ||||
\(979\) | 28.1110 | − | 18.0659i | 0.898432 | − | 0.577387i | ||||
\(980\) | 3.26895 | − | 3.77257i | 0.104423 | − | 0.120510i | ||||
\(981\) | 2.30390 | − | 5.04485i | 0.0735580 | − | 0.161070i | ||||
\(982\) | −3.93144 | − | 2.52659i | −0.125457 | − | 0.0806266i | ||||
\(983\) | 9.07920 | − | 2.66589i | 0.289582 | − | 0.0850288i | −0.133716 | − | 0.991020i | \(-0.542691\pi\) |
0.423297 | + | 0.905991i | \(0.360873\pi\) | |||||||
\(984\) | −7.44001 | − | 8.58623i | −0.237179 | − | 0.273719i | ||||
\(985\) | 7.54648 | + | 2.21585i | 0.240451 | + | 0.0706027i | ||||
\(986\) | 1.88203 | + | 4.12107i | 0.0599360 | + | 0.131241i | ||||
\(987\) | 1.25811 | − | 8.75036i | 0.0400462 | − | 0.278527i | ||||
\(988\) | −19.9189 | −0.633705 | ||||||||
\(989\) | −4.12120 | + | 3.97268i | −0.131047 | + | 0.126324i | ||||
\(990\) | −4.05801 | −0.128972 | ||||||||
\(991\) | −8.48781 | + | 59.0340i | −0.269624 | + | 1.87528i | 0.182333 | + | 0.983237i | \(0.441635\pi\) |
−0.451957 | + | 0.892040i | \(0.649274\pi\) | |||||||
\(992\) | −4.36442 | − | 9.55674i | −0.138570 | − | 0.303427i | ||||
\(993\) | 29.7679 | + | 8.74065i | 0.944657 | + | 0.277376i | ||||
\(994\) | 11.4799 | + | 13.2485i | 0.364119 | + | 0.420216i | ||||
\(995\) | −18.4315 | + | 5.41198i | −0.584318 | + | 0.171571i | ||||
\(996\) | −14.4200 | − | 9.26715i | −0.456914 | − | 0.293641i | ||||
\(997\) | −15.5587 | + | 34.0688i | −0.492749 | + | 1.07897i | 0.486009 | + | 0.873954i | \(0.338452\pi\) |
−0.978758 | + | 0.205017i | \(0.934275\pi\) | |||||||
\(998\) | 8.45474 | − | 9.75729i | 0.267630 | − | 0.308861i | ||||
\(999\) | −1.60384 | + | 1.03073i | −0.0507434 | + | 0.0326108i |
(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 | 690.2.m.g.31.2 | ✓ | 30 | |
23.3 | even | 11 | inner | 690.2.m.g.601.2 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.g.31.2 | ✓ | 30 | 1.1 | even | 1 | trivial | |
690.2.m.g.601.2 | yes | 30 | 23.3 | even | 11 | inner |