Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(11,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.q (of order \(15\), degree \(8\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.8 | ||
Character | \(\chi\) | \(=\) | 175.11 |
Dual form | 175.2.q.a.16.8 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.677204 | − | 0.301511i | −0.478856 | − | 0.213200i | 0.153091 | − | 0.988212i | \(-0.451077\pi\) |
−0.631947 | + | 0.775012i | \(0.717744\pi\) | |||||||
\(3\) | 0.992974 | + | 1.10281i | 0.573294 | + | 0.636707i | 0.958149 | − | 0.286270i | \(-0.0924153\pi\) |
−0.384855 | + | 0.922977i | \(0.625749\pi\) | |||||||
\(4\) | −0.970565 | − | 1.07792i | −0.485282 | − | 0.538961i | ||||
\(5\) | −0.0581969 | − | 2.23531i | −0.0260265 | − | 0.999661i | ||||
\(6\) | −0.339937 | − | 1.04622i | −0.138779 | − | 0.427117i | ||||
\(7\) | −1.08929 | − | 2.41111i | −0.411713 | − | 0.911313i | ||||
\(8\) | 0.790409 | + | 2.43263i | 0.279452 | + | 0.860064i | ||||
\(9\) | 0.0833944 | − | 0.793444i | 0.0277981 | − | 0.264481i | ||||
\(10\) | −0.634559 | + | 1.53131i | −0.200665 | + | 0.484242i | ||||
\(11\) | −0.200461 | − | 1.90725i | −0.0604411 | − | 0.575059i | −0.982271 | − | 0.187465i | \(-0.939973\pi\) |
0.921830 | − | 0.387594i | \(-0.126694\pi\) | |||||||
\(12\) | 0.224996 | − | 2.14069i | 0.0649508 | − | 0.617965i | ||||
\(13\) | 1.28460 | + | 0.933316i | 0.356284 | + | 0.258855i | 0.751500 | − | 0.659733i | \(-0.229330\pi\) |
−0.395217 | + | 0.918588i | \(0.629330\pi\) | |||||||
\(14\) | 0.0106977 | + | 1.96125i | 0.00285907 | + | 0.524165i | ||||
\(15\) | 2.40733 | − | 2.28378i | 0.621571 | − | 0.589671i | ||||
\(16\) | −0.105039 | + | 0.999376i | −0.0262597 | + | 0.249844i | ||||
\(17\) | 3.15589 | + | 0.670805i | 0.765416 | + | 0.162694i | 0.574045 | − | 0.818824i | \(-0.305373\pi\) |
0.191371 | + | 0.981518i | \(0.438707\pi\) | |||||||
\(18\) | −0.295707 | + | 0.512179i | −0.0696988 | + | 0.120722i | ||||
\(19\) | 1.23606 | − | 1.37279i | 0.283572 | − | 0.314939i | −0.584483 | − | 0.811406i | \(-0.698703\pi\) |
0.868056 | + | 0.496467i | \(0.165369\pi\) | |||||||
\(20\) | −2.35300 | + | 2.23224i | −0.526148 | + | 0.499145i | ||||
\(21\) | 1.57735 | − | 3.59545i | 0.344207 | − | 0.784591i | ||||
\(22\) | −0.439305 | + | 1.35204i | −0.0936601 | + | 0.288256i | ||||
\(23\) | 1.55713 | + | 0.693280i | 0.324684 | + | 0.144559i | 0.562605 | − | 0.826726i | \(-0.309799\pi\) |
−0.237921 | + | 0.971285i | \(0.576466\pi\) | |||||||
\(24\) | −1.89787 | + | 3.28721i | −0.387401 | + | 0.670999i | ||||
\(25\) | −4.99323 | + | 0.260176i | −0.998645 | + | 0.0520353i | ||||
\(26\) | −0.588531 | − | 1.01937i | −0.115420 | − | 0.199914i | ||||
\(27\) | 4.55951 | − | 3.31268i | 0.877478 | − | 0.637525i | ||||
\(28\) | −1.54176 | + | 3.51431i | −0.291365 | + | 0.664142i | ||||
\(29\) | −1.18710 | + | 3.65353i | −0.220439 | + | 0.678443i | 0.778283 | + | 0.627913i | \(0.216091\pi\) |
−0.998723 | + | 0.0505292i | \(0.983909\pi\) | |||||||
\(30\) | −2.31884 | + | 0.820752i | −0.423361 | + | 0.149848i | ||||
\(31\) | −8.96187 | − | 1.90490i | −1.60960 | − | 0.342131i | −0.686631 | − | 0.727006i | \(-0.740911\pi\) |
−0.922969 | + | 0.384875i | \(0.874244\pi\) | |||||||
\(32\) | 2.93027 | − | 5.07538i | 0.518004 | − | 0.897209i | ||||
\(33\) | 1.90429 | − | 2.11492i | 0.331494 | − | 0.368161i | ||||
\(34\) | −1.93493 | − | 1.40581i | −0.331837 | − | 0.241094i | ||||
\(35\) | −5.32618 | + | 2.57522i | −0.900289 | + | 0.435292i | ||||
\(36\) | −0.936210 | + | 0.680196i | −0.156035 | + | 0.113366i | ||||
\(37\) | −0.784474 | + | 7.46377i | −0.128967 | + | 1.22704i | 0.718249 | + | 0.695786i | \(0.244944\pi\) |
−0.847215 | + | 0.531250i | \(0.821723\pi\) | |||||||
\(38\) | −1.25098 | + | 0.556971i | −0.202935 | + | 0.0903526i | ||||
\(39\) | 0.246304 | + | 2.34343i | 0.0394402 | + | 0.375249i | ||||
\(40\) | 5.39168 | − | 1.90838i | 0.852500 | − | 0.301742i | ||||
\(41\) | 8.10725 | + | 5.89026i | 1.26614 | + | 0.919904i | 0.999042 | − | 0.0437649i | \(-0.0139353\pi\) |
0.267098 | + | 0.963669i | \(0.413935\pi\) | |||||||
\(42\) | −2.15226 | + | 1.95926i | −0.332100 | + | 0.302321i | ||||
\(43\) | 4.22219 | 0.643879 | 0.321939 | − | 0.946760i | \(-0.395665\pi\) | ||||
0.321939 | + | 0.946760i | \(0.395665\pi\) | |||||||
\(44\) | −1.86131 | + | 2.06719i | −0.280603 | + | 0.311641i | ||||
\(45\) | −1.77845 | − | 0.140236i | −0.265115 | − | 0.0209052i | ||||
\(46\) | −0.845465 | − | 0.938983i | −0.124657 | − | 0.138446i | ||||
\(47\) | 4.58565 | − | 0.974711i | 0.668886 | − | 0.142176i | 0.139062 | − | 0.990284i | \(-0.455591\pi\) |
0.529824 | + | 0.848107i | \(0.322258\pi\) | |||||||
\(48\) | −1.20642 | + | 0.876517i | −0.174132 | + | 0.126514i | ||||
\(49\) | −4.62689 | + | 5.25280i | −0.660984 | + | 0.750400i | ||||
\(50\) | 3.45988 | + | 1.32932i | 0.489301 | + | 0.187994i | ||||
\(51\) | 2.39395 | + | 4.14644i | 0.335219 | + | 0.580617i | ||||
\(52\) | −0.240746 | − | 2.29054i | −0.0333854 | − | 0.317641i | ||||
\(53\) | 6.91624 | + | 7.68126i | 0.950019 | + | 1.05510i | 0.998415 | + | 0.0562743i | \(0.0179221\pi\) |
−0.0483968 | + | 0.998828i | \(0.515411\pi\) | |||||||
\(54\) | −4.08653 | + | 0.868618i | −0.556106 | + | 0.118204i | ||||
\(55\) | −4.25164 | + | 0.559088i | −0.573291 | + | 0.0753874i | ||||
\(56\) | 5.00435 | − | 4.55561i | 0.668734 | − | 0.608768i | ||||
\(57\) | 2.74130 | 0.363094 | ||||||||
\(58\) | 1.90549 | − | 2.11626i | 0.250203 | − | 0.277878i | ||||
\(59\) | 2.66041 | − | 1.18449i | 0.346356 | − | 0.154208i | −0.226184 | − | 0.974085i | \(-0.572625\pi\) |
0.572540 | + | 0.819877i | \(0.305958\pi\) | |||||||
\(60\) | −4.79821 | − | 0.378354i | −0.619447 | − | 0.0488453i | ||||
\(61\) | −12.7289 | − | 5.66729i | −1.62977 | − | 0.725622i | −0.631031 | − | 0.775758i | \(-0.717368\pi\) |
−0.998742 | + | 0.0501357i | \(0.984035\pi\) | |||||||
\(62\) | 5.49467 | + | 3.99211i | 0.697823 | + | 0.506998i | ||||
\(63\) | −2.00392 | + | 0.663219i | −0.252470 | + | 0.0835578i | ||||
\(64\) | −1.88874 | + | 1.37225i | −0.236093 | + | 0.171532i | ||||
\(65\) | 2.01149 | − | 2.92580i | 0.249495 | − | 0.362900i | ||||
\(66\) | −1.92726 | + | 0.858073i | −0.237230 | + | 0.105621i | ||||
\(67\) | 3.54561 | + | 0.753643i | 0.433165 | + | 0.0920721i | 0.419334 | − | 0.907832i | \(-0.362264\pi\) |
0.0138317 | + | 0.999904i | \(0.495597\pi\) | |||||||
\(68\) | −2.33992 | − | 4.05286i | −0.283757 | − | 0.491481i | ||||
\(69\) | 0.781636 | + | 2.40563i | 0.0940979 | + | 0.289603i | ||||
\(70\) | 4.38337 | − | 0.138051i | 0.523913 | − | 0.0165003i | ||||
\(71\) | 1.51660 | − | 4.66763i | 0.179988 | − | 0.553945i | −0.819838 | − | 0.572595i | \(-0.805937\pi\) |
0.999826 | + | 0.0186498i | \(0.00593677\pi\) | |||||||
\(72\) | 1.99607 | − | 0.424278i | 0.235239 | − | 0.0500017i | ||||
\(73\) | 0.0128982 | + | 0.122718i | 0.00150961 | + | 0.0143630i | 0.995251 | − | 0.0973442i | \(-0.0310348\pi\) |
−0.993741 | + | 0.111707i | \(0.964368\pi\) | |||||||
\(74\) | 2.78165 | − | 4.81797i | 0.323361 | − | 0.560077i | ||||
\(75\) | −5.24507 | − | 5.24823i | −0.605648 | − | 0.606013i | ||||
\(76\) | −2.67944 | −0.307352 | ||||||||
\(77\) | −4.38024 | + | 2.56089i | −0.499174 | + | 0.291840i | ||||
\(78\) | 0.539770 | − | 1.66124i | 0.0611169 | − | 0.188099i | ||||
\(79\) | 5.82822 | − | 1.23883i | 0.655726 | − | 0.139379i | 0.131979 | − | 0.991253i | \(-0.457867\pi\) |
0.523747 | + | 0.851874i | \(0.324534\pi\) | |||||||
\(80\) | 2.24003 | + | 0.176633i | 0.250443 | + | 0.0197482i | ||||
\(81\) | 5.83959 | + | 1.24124i | 0.648843 | + | 0.137916i | ||||
\(82\) | −3.71429 | − | 6.43333i | −0.410174 | − | 0.710443i | ||||
\(83\) | −3.33835 | − | 10.2744i | −0.366432 | − | 1.12776i | −0.949079 | − | 0.315037i | \(-0.897983\pi\) |
0.582648 | − | 0.812725i | \(-0.302017\pi\) | |||||||
\(84\) | −5.40653 | + | 1.78935i | −0.589901 | + | 0.195234i | ||||
\(85\) | 1.31579 | − | 7.09343i | 0.142718 | − | 0.769391i | ||||
\(86\) | −2.85929 | − | 1.27304i | −0.308325 | − | 0.137275i | ||||
\(87\) | −5.20790 | + | 2.31871i | −0.558346 | + | 0.248592i | ||||
\(88\) | 4.48120 | − | 1.99516i | 0.477697 | − | 0.212685i | ||||
\(89\) | 3.67893 | + | 1.63796i | 0.389966 | + | 0.173624i | 0.592347 | − | 0.805683i | \(-0.298201\pi\) |
−0.202382 | + | 0.979307i | \(0.564868\pi\) | |||||||
\(90\) | 1.16209 | + | 0.631190i | 0.122495 | + | 0.0665332i | ||||
\(91\) | 0.851023 | − | 4.11396i | 0.0892115 | − | 0.431260i | ||||
\(92\) | −0.763996 | − | 2.35134i | −0.0796521 | − | 0.245144i | ||||
\(93\) | −6.79816 | − | 11.7748i | −0.704936 | − | 1.22099i | ||||
\(94\) | −3.39931 | − | 0.722546i | −0.350612 | − | 0.0745249i | ||||
\(95\) | −3.14054 | − | 2.68309i | −0.322213 | − | 0.275280i | ||||
\(96\) | 8.50686 | − | 1.80819i | 0.868228 | − | 0.184548i | ||||
\(97\) | 1.47632 | − | 4.54363i | 0.149897 | − | 0.461336i | −0.847711 | − | 0.530458i | \(-0.822020\pi\) |
0.997608 | + | 0.0691223i | \(0.0220199\pi\) | |||||||
\(98\) | 4.71712 | − | 2.16216i | 0.476501 | − | 0.218411i | ||||
\(99\) | −1.53002 | −0.153773 | ||||||||
\(100\) | 5.12670 | + | 5.12979i | 0.512670 | + | 0.512979i | ||||
\(101\) | 1.07002 | − | 1.85332i | 0.106471 | − | 0.184413i | −0.807867 | − | 0.589364i | \(-0.799378\pi\) |
0.914338 | + | 0.404952i | \(0.132712\pi\) | |||||||
\(102\) | −0.370995 | − | 3.52978i | −0.0367340 | − | 0.349501i | ||||
\(103\) | −14.3947 | + | 3.05968i | −1.41835 | + | 0.301480i | −0.852370 | − | 0.522939i | \(-0.824835\pi\) |
−0.565980 | + | 0.824419i | \(0.691502\pi\) | |||||||
\(104\) | −1.25505 | + | 3.86266i | −0.123068 | + | 0.378765i | ||||
\(105\) | −8.12874 | − | 3.31663i | −0.793284 | − | 0.323670i | ||||
\(106\) | −2.36772 | − | 7.28710i | −0.229974 | − | 0.707786i | ||||
\(107\) | 3.79738 | + | 6.57725i | 0.367106 | + | 0.635847i | 0.989112 | − | 0.147166i | \(-0.0470151\pi\) |
−0.622005 | + | 0.783013i | \(0.713682\pi\) | |||||||
\(108\) | −7.99611 | − | 1.69963i | −0.769426 | − | 0.163547i | ||||
\(109\) | 18.1591 | − | 8.08495i | 1.73933 | − | 0.774397i | 0.745116 | − | 0.666935i | \(-0.232394\pi\) |
0.994209 | − | 0.107463i | \(-0.0342726\pi\) | |||||||
\(110\) | 3.04780 | + | 0.903298i | 0.290596 | + | 0.0861261i | ||||
\(111\) | −9.01007 | + | 6.54620i | −0.855198 | + | 0.621338i | ||||
\(112\) | 2.52402 | − | 0.835353i | 0.238498 | − | 0.0789334i | ||||
\(113\) | 14.6887 | + | 10.6719i | 1.38179 | + | 1.00393i | 0.996710 | + | 0.0810503i | \(0.0258275\pi\) |
0.385084 | + | 0.922882i | \(0.374173\pi\) | |||||||
\(114\) | −1.85642 | − | 0.826532i | −0.173870 | − | 0.0774118i | ||||
\(115\) | 1.45907 | − | 3.52102i | 0.136059 | − | 0.328337i | ||||
\(116\) | 5.09037 | − | 2.26638i | 0.472629 | − | 0.210428i | ||||
\(117\) | 0.847663 | − | 0.941425i | 0.0783665 | − | 0.0870348i | ||||
\(118\) | −2.15878 | −0.198732 | ||||||||
\(119\) | −1.82030 | − | 8.33989i | −0.166867 | − | 0.764517i | ||||
\(120\) | 7.45838 | + | 4.05102i | 0.680854 | + | 0.369806i | ||||
\(121\) | 7.16219 | − | 1.52237i | 0.651108 | − | 0.138397i | ||||
\(122\) | 6.91134 | + | 7.67582i | 0.625723 | + | 0.694936i | ||||
\(123\) | 1.55445 | + | 14.7896i | 0.140160 | + | 1.33354i | ||||
\(124\) | 6.64474 | + | 11.5090i | 0.596715 | + | 1.03354i | ||||
\(125\) | 0.872166 | + | 11.1463i | 0.0780089 | + | 0.996953i | ||||
\(126\) | 1.55703 | + | 0.155069i | 0.138711 | + | 0.0138146i | ||||
\(127\) | −12.4480 | + | 9.04401i | −1.10458 | + | 0.802526i | −0.981802 | − | 0.189908i | \(-0.939181\pi\) |
−0.122780 | + | 0.992434i | \(0.539181\pi\) | |||||||
\(128\) | −9.77215 | + | 2.07713i | −0.863744 | + | 0.183594i | ||||
\(129\) | 4.19253 | + | 4.65627i | 0.369132 | + | 0.409962i | ||||
\(130\) | −2.24435 | + | 1.37487i | −0.196842 | + | 0.120584i | ||||
\(131\) | −5.24308 | + | 5.82303i | −0.458090 | + | 0.508761i | −0.927296 | − | 0.374328i | \(-0.877873\pi\) |
0.469206 | + | 0.883089i | \(0.344540\pi\) | |||||||
\(132\) | −4.12795 | −0.359292 | ||||||||
\(133\) | −4.65637 | − | 1.48492i | −0.403759 | − | 0.128759i | ||||
\(134\) | −2.17387 | − | 1.57941i | −0.187794 | − | 0.136440i | ||||
\(135\) | −7.67022 | − | 9.99914i | −0.660147 | − | 0.860589i | ||||
\(136\) | 0.862624 | + | 8.20732i | 0.0739694 | + | 0.703772i | ||||
\(137\) | −12.9218 | + | 5.75317i | −1.10399 | + | 0.491526i | −0.876084 | − | 0.482158i | \(-0.839853\pi\) |
−0.227902 | + | 0.973684i | \(0.573187\pi\) | |||||||
\(138\) | 0.195995 | − | 1.86477i | 0.0166842 | − | 0.158740i | ||||
\(139\) | 13.7894 | − | 10.0186i | 1.16960 | − | 0.849763i | 0.178638 | − | 0.983915i | \(-0.442831\pi\) |
0.990961 | + | 0.134152i | \(0.0428309\pi\) | |||||||
\(140\) | 7.94529 | + | 3.24178i | 0.671500 | + | 0.273981i | ||||
\(141\) | 5.62836 | + | 4.08924i | 0.473993 | + | 0.344376i | ||||
\(142\) | −2.43439 | + | 2.70366i | −0.204289 | + | 0.226886i | ||||
\(143\) | 1.52256 | − | 2.63715i | 0.127323 | − | 0.220530i | ||||
\(144\) | 0.784190 | + | 0.166685i | 0.0653492 | + | 0.0138904i | ||||
\(145\) | 8.23585 | + | 2.44092i | 0.683950 | + | 0.202707i | ||||
\(146\) | 0.0282660 | − | 0.0869939i | 0.00233931 | − | 0.00719966i | ||||
\(147\) | −10.3872 | + | 0.113318i | −0.856723 | + | 0.00934631i | ||||
\(148\) | 8.80674 | − | 6.39847i | 0.723909 | − | 0.525951i | ||||
\(149\) | −5.99832 | − | 10.3894i | −0.491402 | − | 0.851133i | 0.508549 | − | 0.861033i | \(-0.330182\pi\) |
−0.999951 | + | 0.00990030i | \(0.996849\pi\) | |||||||
\(150\) | 1.96958 | + | 5.13557i | 0.160816 | + | 0.419317i | ||||
\(151\) | −3.61003 | + | 6.25276i | −0.293780 | + | 0.508842i | −0.974700 | − | 0.223515i | \(-0.928247\pi\) |
0.680920 | + | 0.732358i | \(0.261580\pi\) | |||||||
\(152\) | 4.31648 | + | 1.92182i | 0.350113 | + | 0.155880i | ||||
\(153\) | 0.795430 | − | 2.44808i | 0.0643067 | − | 0.197916i | ||||
\(154\) | 3.73845 | − | 0.413556i | 0.301253 | − | 0.0333253i | ||||
\(155\) | −3.73650 | + | 20.1434i | −0.300123 | + | 1.61796i | ||||
\(156\) | 2.28698 | − | 2.53994i | 0.183105 | − | 0.203358i | ||||
\(157\) | −3.83528 | + | 6.64290i | −0.306089 | + | 0.530161i | −0.977503 | − | 0.210921i | \(-0.932354\pi\) |
0.671415 | + | 0.741082i | \(0.265687\pi\) | |||||||
\(158\) | −4.32041 | − | 0.918333i | −0.343714 | − | 0.0730586i | ||||
\(159\) | −1.60332 | + | 15.2546i | −0.127152 | + | 1.20977i | ||||
\(160\) | −11.5156 | − | 6.25470i | −0.910387 | − | 0.494477i | ||||
\(161\) | −0.0245977 | − | 4.50960i | −0.00193857 | − | 0.355406i | ||||
\(162\) | −3.58034 | − | 2.60127i | −0.281298 | − | 0.204375i | ||||
\(163\) | −1.30039 | + | 12.3724i | −0.101854 | + | 0.969078i | 0.817575 | + | 0.575822i | \(0.195318\pi\) |
−0.919429 | + | 0.393256i | \(0.871349\pi\) | |||||||
\(164\) | −1.51937 | − | 14.4559i | −0.118643 | − | 1.12881i | ||||
\(165\) | −4.83834 | − | 4.13359i | −0.376664 | − | 0.321799i | ||||
\(166\) | −0.837094 | + | 7.96441i | −0.0649711 | + | 0.618158i | ||||
\(167\) | −7.89500 | − | 24.2983i | −0.610933 | − | 1.88026i | −0.449219 | − | 0.893422i | \(-0.648298\pi\) |
−0.161715 | − | 0.986838i | \(-0.551702\pi\) | |||||||
\(168\) | 9.99315 | + | 0.995244i | 0.770988 | + | 0.0767847i | ||||
\(169\) | −3.23810 | − | 9.96586i | −0.249085 | − | 0.766605i | ||||
\(170\) | −3.02981 | + | 4.40698i | −0.232376 | + | 0.338000i | ||||
\(171\) | −0.986150 | − | 1.09523i | −0.0754128 | − | 0.0837544i | ||||
\(172\) | −4.09791 | − | 4.55119i | −0.312463 | − | 0.347025i | ||||
\(173\) | 1.95085 | + | 0.868575i | 0.148321 | + | 0.0660365i | 0.479554 | − | 0.877512i | \(-0.340798\pi\) |
−0.331234 | + | 0.943549i | \(0.607465\pi\) | |||||||
\(174\) | 4.22593 | 0.320367 | ||||||||
\(175\) | 6.06639 | + | 11.7558i | 0.458576 | + | 0.888655i | ||||
\(176\) | 1.92712 | 0.145262 | ||||||||
\(177\) | 3.94799 | + | 1.75776i | 0.296749 | + | 0.132121i | ||||
\(178\) | −1.99752 | − | 2.21847i | −0.149721 | − | 0.166282i | ||||
\(179\) | −5.54697 | − | 6.16054i | −0.414600 | − | 0.460460i | 0.499282 | − | 0.866440i | \(-0.333597\pi\) |
−0.913882 | + | 0.405979i | \(0.866931\pi\) | |||||||
\(180\) | 1.57493 | + | 2.05313i | 0.117389 | + | 0.153032i | ||||
\(181\) | 0.593885 | + | 1.82779i | 0.0441431 | + | 0.135859i | 0.970699 | − | 0.240299i | \(-0.0772453\pi\) |
−0.926556 | + | 0.376157i | \(0.877245\pi\) | |||||||
\(182\) | −1.81672 | + | 2.52940i | −0.134664 | + | 0.187492i | ||||
\(183\) | −6.38956 | − | 19.6651i | −0.472330 | − | 1.45368i | ||||
\(184\) | −0.455721 | + | 4.33590i | −0.0335962 | + | 0.319647i | ||||
\(185\) | 16.7295 | + | 1.31917i | 1.22998 | + | 0.0969876i | ||||
\(186\) | 1.05353 | + | 10.0236i | 0.0772483 | + | 0.734968i | ||||
\(187\) | 0.646765 | − | 6.15356i | 0.0472961 | − | 0.449993i | ||||
\(188\) | −5.50134 | − | 3.99695i | −0.401226 | − | 0.291508i | ||||
\(189\) | −12.9539 | − | 7.38500i | −0.942255 | − | 0.537180i | ||||
\(190\) | 1.31781 | + | 2.76391i | 0.0956037 | + | 0.200515i | ||||
\(191\) | −2.52403 | + | 24.0146i | −0.182633 | + | 1.73763i | 0.392659 | + | 0.919684i | \(0.371555\pi\) |
−0.575292 | + | 0.817948i | \(0.695112\pi\) | |||||||
\(192\) | −3.38880 | − | 0.720313i | −0.244566 | − | 0.0519841i | ||||
\(193\) | −9.84428 | + | 17.0508i | −0.708607 | + | 1.22734i | 0.256768 | + | 0.966473i | \(0.417343\pi\) |
−0.965374 | + | 0.260869i | \(0.915991\pi\) | |||||||
\(194\) | −2.36972 | + | 2.63184i | −0.170136 | + | 0.188955i | ||||
\(195\) | 5.22395 | − | 0.686946i | 0.374095 | − | 0.0491933i | ||||
\(196\) | 10.1528 | − | 0.110761i | 0.725200 | − | 0.00791148i | ||||
\(197\) | −1.90319 | + | 5.85741i | −0.135596 | + | 0.417323i | −0.995682 | − | 0.0928264i | \(-0.970410\pi\) |
0.860086 | + | 0.510149i | \(0.170410\pi\) | |||||||
\(198\) | 1.03613 | + | 0.461317i | 0.0736349 | + | 0.0327844i | ||||
\(199\) | 2.82476 | − | 4.89262i | 0.200242 | − | 0.346829i | −0.748365 | − | 0.663288i | \(-0.769161\pi\) |
0.948606 | + | 0.316459i | \(0.102494\pi\) | |||||||
\(200\) | −4.57961 | − | 11.9410i | −0.323827 | − | 0.844358i | ||||
\(201\) | 2.68957 | + | 4.65848i | 0.189708 | + | 0.328584i | ||||
\(202\) | −1.28342 | + | 0.932457i | −0.0903009 | + | 0.0656074i | ||||
\(203\) | 10.1021 | − | 1.11752i | 0.709032 | − | 0.0784346i | ||||
\(204\) | 2.14605 | − | 6.60487i | 0.150254 | − | 0.462433i | ||||
\(205\) | 12.6947 | − | 18.4650i | 0.886640 | − | 1.28965i | ||||
\(206\) | 10.6707 | + | 2.26812i | 0.743460 | + | 0.158027i | ||||
\(207\) | 0.679935 | − | 1.17768i | 0.0472587 | − | 0.0818545i | ||||
\(208\) | −1.06767 | + | 1.18576i | −0.0740294 | + | 0.0822180i | ||||
\(209\) | −2.86604 | − | 2.08230i | −0.198248 | − | 0.144036i | ||||
\(210\) | 4.50482 | + | 4.69694i | 0.310862 | + | 0.324120i | ||||
\(211\) | −21.8563 | + | 15.8795i | −1.50465 | + | 1.09319i | −0.536165 | + | 0.844113i | \(0.680128\pi\) |
−0.968483 | + | 0.249078i | \(0.919872\pi\) | |||||||
\(212\) | 1.56714 | − | 14.9103i | 0.107631 | − | 1.02405i | ||||
\(213\) | 6.65345 | − | 2.96231i | 0.455887 | − | 0.202974i | ||||
\(214\) | −0.588488 | − | 5.59909i | −0.0402282 | − | 0.382746i | ||||
\(215\) | −0.245719 | − | 9.43791i | −0.0167579 | − | 0.643660i | ||||
\(216\) | 11.6624 | + | 8.47323i | 0.793526 | + | 0.576530i | ||||
\(217\) | 5.16916 | + | 23.6830i | 0.350905 | + | 1.60771i | ||||
\(218\) | −14.7351 | −0.997987 | ||||||||
\(219\) | −0.122527 | + | 0.136080i | −0.00827959 | + | 0.00919541i | ||||
\(220\) | 4.72914 | + | 4.04030i | 0.318839 | + | 0.272397i | ||||
\(221\) | 3.42798 | + | 3.80716i | 0.230591 | + | 0.256097i | ||||
\(222\) | 8.07541 | − | 1.71648i | 0.541986 | − | 0.115203i | ||||
\(223\) | 6.76373 | − | 4.91414i | 0.452933 | − | 0.329075i | −0.337820 | − | 0.941211i | \(-0.609689\pi\) |
0.790753 | + | 0.612136i | \(0.209689\pi\) | |||||||
\(224\) | −15.4292 | − | 1.53664i | −1.03091 | − | 0.102671i | ||||
\(225\) | −0.209971 | + | 3.98354i | −0.0139981 | + | 0.265570i | ||||
\(226\) | −6.72952 | − | 11.6559i | −0.447641 | − | 0.775337i | ||||
\(227\) | −0.162977 | − | 1.55062i | −0.0108172 | − | 0.102918i | 0.987781 | − | 0.155848i | \(-0.0498109\pi\) |
−0.998598 | + | 0.0529292i | \(0.983144\pi\) | |||||||
\(228\) | −2.66061 | − | 2.95491i | −0.176203 | − | 0.195694i | ||||
\(229\) | −1.78862 | + | 0.380183i | −0.118195 | + | 0.0251232i | −0.266630 | − | 0.963799i | \(-0.585910\pi\) |
0.148434 | + | 0.988922i | \(0.452577\pi\) | |||||||
\(230\) | −2.04972 | + | 1.94452i | −0.135154 | + | 0.128218i | ||||
\(231\) | −7.17363 | − | 2.28767i | −0.471990 | − | 0.150518i | ||||
\(232\) | −9.82597 | −0.645107 | ||||||||
\(233\) | 4.43176 | − | 4.92197i | 0.290335 | − | 0.322449i | −0.580278 | − | 0.814418i | \(-0.697056\pi\) |
0.870613 | + | 0.491969i | \(0.163723\pi\) | |||||||
\(234\) | −0.857891 | + | 0.381957i | −0.0560821 | + | 0.0249693i | ||||
\(235\) | −2.44565 | − | 10.1936i | −0.159537 | − | 0.664960i | ||||
\(236\) | −3.85889 | − | 1.71809i | −0.251192 | − | 0.111838i | ||||
\(237\) | 7.15346 | + | 5.19729i | 0.464667 | + | 0.337600i | ||||
\(238\) | −1.28185 | + | 6.19665i | −0.0830902 | + | 0.401669i | ||||
\(239\) | −8.01908 | + | 5.82620i | −0.518711 | + | 0.376866i | −0.816118 | − | 0.577885i | \(-0.803878\pi\) |
0.297407 | + | 0.954751i | \(0.403878\pi\) | |||||||
\(240\) | 2.02950 | + | 2.64572i | 0.131004 | + | 0.170780i | ||||
\(241\) | −0.328124 | + | 0.146090i | −0.0211363 | + | 0.00941050i | −0.417278 | − | 0.908779i | \(-0.637016\pi\) |
0.396141 | + | 0.918190i | \(0.370349\pi\) | |||||||
\(242\) | −5.30927 | − | 1.12852i | −0.341293 | − | 0.0725441i | ||||
\(243\) | −4.02410 | − | 6.96994i | −0.258146 | − | 0.447122i | ||||
\(244\) | 6.24537 | + | 19.2213i | 0.399819 | + | 1.23052i | ||||
\(245\) | 12.0109 | + | 10.0368i | 0.767349 | + | 0.641230i | ||||
\(246\) | 3.40655 | − | 10.4843i | 0.217194 | − | 0.668453i | ||||
\(247\) | 2.86909 | − | 0.609844i | 0.182556 | − | 0.0388035i | ||||
\(248\) | −2.44962 | − | 23.3066i | −0.155551 | − | 1.47997i | ||||
\(249\) | 8.01580 | − | 13.8838i | 0.507981 | − | 0.879849i | ||||
\(250\) | 2.77009 | − | 7.81127i | 0.175196 | − | 0.494028i | ||||
\(251\) | −19.7093 | −1.24404 | −0.622020 | − | 0.783002i | \(-0.713688\pi\) | ||||
−0.622020 | + | 0.783002i | \(0.713688\pi\) | |||||||
\(252\) | 2.65983 | + | 1.51637i | 0.167554 | + | 0.0955224i | ||||
\(253\) | 1.01012 | − | 3.10882i | 0.0635055 | − | 0.195450i | ||||
\(254\) | 11.1567 | − | 2.37143i | 0.700034 | − | 0.148797i | ||||
\(255\) | 9.12925 | − | 5.59252i | 0.571696 | − | 0.350217i | ||||
\(256\) | 11.8112 | + | 2.51055i | 0.738201 | + | 0.156909i | ||||
\(257\) | 13.7349 | + | 23.7895i | 0.856759 | + | 1.48395i | 0.875003 | + | 0.484117i | \(0.160859\pi\) |
−0.0182437 | + | 0.999834i | \(0.505807\pi\) | |||||||
\(258\) | −1.43528 | − | 4.41734i | −0.0893567 | − | 0.275012i | ||||
\(259\) | 18.8505 | − | 6.23877i | 1.17131 | − | 0.387658i | ||||
\(260\) | −5.10606 | + | 0.671444i | −0.316664 | + | 0.0416412i | ||||
\(261\) | 2.79987 | + | 1.24658i | 0.173308 | + | 0.0771615i | ||||
\(262\) | 5.30634 | − | 2.36254i | 0.327827 | − | 0.145958i | ||||
\(263\) | −12.1028 | + | 5.38852i | −0.746291 | + | 0.332270i | −0.744405 | − | 0.667728i | \(-0.767267\pi\) |
−0.00188576 | + | 0.999998i | \(0.500600\pi\) | |||||||
\(264\) | 6.64999 | + | 2.96077i | 0.409279 | + | 0.182223i | ||||
\(265\) | 16.7675 | − | 15.9070i | 1.03002 | − | 0.977157i | ||||
\(266\) | 2.70560 | + | 2.40954i | 0.165891 | + | 0.147738i | ||||
\(267\) | 1.84672 | + | 5.68361i | 0.113017 | + | 0.347831i | ||||
\(268\) | −2.62888 | − | 4.55335i | −0.160584 | − | 0.278140i | ||||
\(269\) | −11.3778 | − | 2.41842i | −0.693715 | − | 0.147454i | −0.152457 | − | 0.988310i | \(-0.548718\pi\) |
−0.541258 | + | 0.840857i | \(0.682052\pi\) | |||||||
\(270\) | 2.17946 | + | 9.08411i | 0.132637 | + | 0.552841i | ||||
\(271\) | −10.2658 | + | 2.18206i | −0.623603 | + | 0.132551i | −0.508867 | − | 0.860845i | \(-0.669936\pi\) |
−0.114736 | + | 0.993396i | \(0.536602\pi\) | |||||||
\(272\) | −1.00188 | + | 3.08346i | −0.0607477 | + | 0.186962i | ||||
\(273\) | 5.38196 | − | 3.14654i | 0.325731 | − | 0.190437i | ||||
\(274\) | 10.4854 | 0.633444 | ||||||||
\(275\) | 1.49717 | + | 9.47120i | 0.0902826 | + | 0.571135i | ||||
\(276\) | 1.83445 | − | 3.17736i | 0.110421 | − | 0.191254i | ||||
\(277\) | −1.38868 | − | 13.2124i | −0.0834379 | − | 0.793859i | −0.953597 | − | 0.301087i | \(-0.902650\pi\) |
0.870159 | − | 0.492772i | \(-0.164016\pi\) | |||||||
\(278\) | −12.3589 | + | 2.62697i | −0.741239 | + | 0.157555i | ||||
\(279\) | −2.25881 | + | 6.95189i | −0.135231 | + | 0.416199i | ||||
\(280\) | −10.4744 | − | 10.9211i | −0.625967 | − | 0.652663i | ||||
\(281\) | −7.53857 | − | 23.2013i | −0.449713 | − | 1.38408i | −0.877231 | − | 0.480068i | \(-0.840612\pi\) |
0.427518 | − | 0.904007i | \(-0.359388\pi\) | |||||||
\(282\) | −2.57860 | − | 4.46626i | −0.153553 | − | 0.265962i | ||||
\(283\) | 9.53278 | + | 2.02626i | 0.566665 | + | 0.120448i | 0.482331 | − | 0.875989i | \(-0.339790\pi\) |
0.0843343 | + | 0.996438i | \(0.473124\pi\) | |||||||
\(284\) | −6.50329 | + | 2.89545i | −0.385899 | + | 0.171814i | ||||
\(285\) | −0.159535 | − | 6.12766i | −0.00945006 | − | 0.362971i | ||||
\(286\) | −1.82621 | + | 1.32682i | −0.107986 | + | 0.0784566i | ||||
\(287\) | 5.37090 | − | 25.9637i | 0.317034 | − | 1.53259i | ||||
\(288\) | −3.78267 | − | 2.74827i | −0.222896 | − | 0.161943i | ||||
\(289\) | −6.02061 | − | 2.68055i | −0.354154 | − | 0.157679i | ||||
\(290\) | −4.84139 | − | 4.13620i | −0.284296 | − | 0.242886i | ||||
\(291\) | 6.47670 | − | 2.88361i | 0.379671 | − | 0.169040i | ||||
\(292\) | 0.119762 | − | 0.133009i | 0.00700851 | − | 0.00778374i | ||||
\(293\) | −11.7000 | −0.683522 | −0.341761 | − | 0.939787i | \(-0.611023\pi\) | ||||
−0.341761 | + | 0.939787i | \(0.611023\pi\) | |||||||
\(294\) | 7.06843 | + | 3.05512i | 0.412239 | + | 0.178178i | ||||
\(295\) | −2.80253 | − | 5.87791i | −0.163170 | − | 0.342225i | ||||
\(296\) | −18.7766 | + | 3.99110i | −1.09137 | + | 0.231978i | ||||
\(297\) | −7.23213 | − | 8.03209i | −0.419651 | − | 0.466069i | ||||
\(298\) | 0.929573 | + | 8.84430i | 0.0538487 | + | 0.512337i | ||||
\(299\) | 1.35324 | + | 2.34388i | 0.0782600 | + | 0.135550i | ||||
\(300\) | −0.566498 | + | 10.7475i | −0.0327068 | + | 0.620508i | ||||
\(301\) | −4.59920 | − | 10.1802i | −0.265093 | − | 0.586775i | ||||
\(302\) | 4.33000 | − | 3.14593i | 0.249164 | − | 0.181028i | ||||
\(303\) | 3.10636 | − | 0.660277i | 0.178456 | − | 0.0379319i | ||||
\(304\) | 1.24210 | + | 1.37949i | 0.0712392 | + | 0.0791191i | ||||
\(305\) | −11.9274 | + | 28.7829i | −0.682959 | + | 1.64811i | ||||
\(306\) | −1.27679 | + | 1.41802i | −0.0729893 | + | 0.0810628i | ||||
\(307\) | −10.3639 | −0.591501 | −0.295750 | − | 0.955265i | \(-0.595570\pi\) | ||||
−0.295750 | + | 0.955265i | \(0.595570\pi\) | |||||||
\(308\) | 7.01174 | + | 2.23604i | 0.399531 | + | 0.127410i | ||||
\(309\) | −17.6678 | − | 12.8364i | −1.00509 | − | 0.730237i | ||||
\(310\) | 8.60383 | − | 12.5146i | 0.488665 | − | 0.710782i | ||||
\(311\) | −0.694937 | − | 6.61189i | −0.0394063 | − | 0.374926i | −0.996397 | − | 0.0848081i | \(-0.972972\pi\) |
0.956991 | − | 0.290117i | \(-0.0936944\pi\) | |||||||
\(312\) | −5.50601 | + | 2.45143i | −0.311716 | + | 0.138785i | ||||
\(313\) | 0.497088 | − | 4.72948i | 0.0280971 | − | 0.267326i | −0.971450 | − | 0.237243i | \(-0.923756\pi\) |
0.999547 | − | 0.0300829i | \(-0.00957714\pi\) | |||||||
\(314\) | 4.60017 | − | 3.34222i | 0.259603 | − | 0.188612i | ||||
\(315\) | 1.59912 | + | 4.44079i | 0.0901004 | + | 0.250210i | ||||
\(316\) | −6.99202 | − | 5.08000i | −0.393332 | − | 0.285772i | ||||
\(317\) | −6.67146 | + | 7.40941i | −0.374707 | + | 0.416154i | −0.900773 | − | 0.434289i | \(-0.857000\pi\) |
0.526067 | + | 0.850443i | \(0.323666\pi\) | |||||||
\(318\) | 5.68520 | − | 9.84705i | 0.318810 | − | 0.552195i | ||||
\(319\) | 7.20617 | + | 1.53172i | 0.403468 | + | 0.0857598i | ||||
\(320\) | 3.17733 | + | 4.14207i | 0.177618 | + | 0.231549i | ||||
\(321\) | −3.48276 | + | 10.7188i | −0.194389 | + | 0.598266i | ||||
\(322\) | −1.34303 | + | 3.06133i | −0.0748443 | + | 0.170601i | ||||
\(323\) | 4.82175 | − | 3.50321i | 0.268290 | − | 0.194924i | ||||
\(324\) | −4.32973 | − | 7.49932i | −0.240541 | − | 0.416629i | ||||
\(325\) | −6.65712 | − | 4.32604i | −0.369271 | − | 0.239965i | ||||
\(326\) | 4.61103 | − | 7.98653i | 0.255381 | − | 0.442333i | ||||
\(327\) | 26.9477 | + | 11.9979i | 1.49021 | + | 0.663484i | ||||
\(328\) | −7.92078 | + | 24.3777i | −0.437352 | + | 1.34603i | ||||
\(329\) | −7.34525 | − | 9.99477i | −0.404957 | − | 0.551029i | ||||
\(330\) | 2.03022 | + | 4.25809i | 0.111760 | + | 0.234400i | ||||
\(331\) | 21.5676 | − | 23.9533i | 1.18546 | − | 1.31659i | 0.247896 | − | 0.968787i | \(-0.420261\pi\) |
0.937567 | − | 0.347804i | \(-0.113073\pi\) | |||||||
\(332\) | −7.83490 | + | 13.5704i | −0.429996 | + | 0.744775i | ||||
\(333\) | 5.85666 | + | 1.24487i | 0.320943 | + | 0.0682186i | ||||
\(334\) | −1.97967 | + | 18.8353i | −0.108323 | + | 1.03062i | ||||
\(335\) | 1.47828 | − | 7.96940i | 0.0807672 | − | 0.435415i | ||||
\(336\) | 3.42752 | + | 1.95403i | 0.186987 | + | 0.106601i | ||||
\(337\) | 0.290092 | + | 0.210764i | 0.0158023 | + | 0.0114810i | 0.595658 | − | 0.803238i | \(-0.296891\pi\) |
−0.579856 | + | 0.814719i | \(0.696891\pi\) | |||||||
\(338\) | −0.811956 | + | 7.72524i | −0.0441646 | + | 0.420198i | ||||
\(339\) | 2.81635 | + | 26.7958i | 0.152963 | + | 1.45535i | ||||
\(340\) | −8.92322 | + | 5.46631i | −0.483930 | + | 0.296452i | ||||
\(341\) | −1.83664 | + | 17.4744i | −0.0994595 | + | 0.946293i | ||||
\(342\) | 0.337601 | + | 1.03903i | 0.0182554 | + | 0.0561843i | ||||
\(343\) | 17.7051 | + | 5.43410i | 0.955986 | + | 0.293414i | ||||
\(344\) | 3.33726 | + | 10.2710i | 0.179933 | + | 0.553777i | ||||
\(345\) | 5.33184 | − | 1.88720i | 0.287056 | − | 0.101603i | ||||
\(346\) | −1.05924 | − | 1.17641i | −0.0569451 | − | 0.0632439i | ||||
\(347\) | −14.3250 | − | 15.9095i | −0.769005 | − | 0.854066i | 0.223697 | − | 0.974659i | \(-0.428187\pi\) |
−0.992702 | + | 0.120592i | \(0.961521\pi\) | |||||||
\(348\) | 7.55399 | + | 3.36325i | 0.404936 | + | 0.180289i | ||||
\(349\) | 17.9313 | 0.959840 | 0.479920 | − | 0.877312i | \(-0.340666\pi\) | ||||
0.479920 | + | 0.877312i | \(0.340666\pi\) | |||||||
\(350\) | −0.563686 | − | 9.79016i | −0.0301303 | − | 0.523306i | ||||
\(351\) | 8.94893 | 0.477658 | ||||||||
\(352\) | −10.2675 | − | 4.57136i | −0.547257 | − | 0.243655i | ||||
\(353\) | 12.3867 | + | 13.7568i | 0.659276 | + | 0.732201i | 0.976349 | − | 0.216201i | \(-0.0693666\pi\) |
−0.317073 | + | 0.948401i | \(0.602700\pi\) | |||||||
\(354\) | −2.14361 | − | 2.38072i | −0.113932 | − | 0.126534i | ||||
\(355\) | −10.5219 | − | 3.11844i | −0.558442 | − | 0.165509i | ||||
\(356\) | −1.80504 | − | 5.55534i | −0.0956670 | − | 0.294433i | ||||
\(357\) | 7.38980 | − | 10.2887i | 0.391110 | − | 0.544538i | ||||
\(358\) | 1.89897 | + | 5.84441i | 0.100363 | + | 0.308887i | ||||
\(359\) | −2.49051 | + | 23.6956i | −0.131444 | + | 1.25061i | 0.707627 | + | 0.706586i | \(0.249766\pi\) |
−0.839071 | + | 0.544021i | \(0.816901\pi\) | |||||||
\(360\) | −1.06456 | − | 4.43715i | −0.0561072 | − | 0.233858i | ||||
\(361\) | 1.62935 | + | 15.5022i | 0.0857552 | + | 0.815906i | ||||
\(362\) | 0.148917 | − | 1.41685i | 0.00782689 | − | 0.0744679i | ||||
\(363\) | 8.79075 | + | 6.38685i | 0.461395 | + | 0.335223i | ||||
\(364\) | −5.26050 | + | 3.07553i | −0.275725 | + | 0.161202i | ||||
\(365\) | 0.273562 | − | 0.0359732i | 0.0143189 | − | 0.00188292i | ||||
\(366\) | −1.60219 | + | 15.2438i | −0.0837476 | + | 0.796805i | ||||
\(367\) | 9.52573 | + | 2.02476i | 0.497239 | + | 0.105691i | 0.449703 | − | 0.893178i | \(-0.351530\pi\) |
0.0475359 | + | 0.998870i | \(0.484863\pi\) | |||||||
\(368\) | −0.856406 | + | 1.48334i | −0.0446433 | + | 0.0773244i | ||||
\(369\) | 5.34969 | − | 5.94144i | 0.278494 | − | 0.309299i | ||||
\(370\) | −10.9315 | − | 5.93747i | −0.568304 | − | 0.308674i | ||||
\(371\) | 10.9866 | − | 25.0429i | 0.570394 | − | 1.30016i | ||||
\(372\) | −6.09421 | + | 18.7560i | −0.315970 | + | 0.972455i | ||||
\(373\) | −10.5528 | − | 4.69840i | −0.546403 | − | 0.243274i | 0.114921 | − | 0.993375i | \(-0.463338\pi\) |
−0.661324 | + | 0.750100i | \(0.730005\pi\) | |||||||
\(374\) | −2.29335 | + | 3.97221i | −0.118587 | + | 0.205398i | ||||
\(375\) | −11.4262 | + | 12.0298i | −0.590045 | + | 0.621216i | ||||
\(376\) | 5.99565 | + | 10.3848i | 0.309202 | + | 0.535554i | ||||
\(377\) | −4.93485 | + | 3.58538i | −0.254157 | + | 0.184656i | ||||
\(378\) | 6.54575 | + | 8.90688i | 0.336677 | + | 0.458121i | ||||
\(379\) | 1.12295 | − | 3.45610i | 0.0576823 | − | 0.177528i | −0.918064 | − | 0.396432i | \(-0.870248\pi\) |
0.975746 | + | 0.218904i | \(0.0702482\pi\) | |||||||
\(380\) | 0.155935 | + | 5.98937i | 0.00799930 | + | 0.307248i | ||||
\(381\) | −22.3344 | − | 4.74731i | −1.14422 | − | 0.243212i | ||||
\(382\) | 8.94993 | − | 15.5017i | 0.457918 | − | 0.793138i | ||||
\(383\) | 8.22685 | − | 9.13684i | 0.420372 | − | 0.466871i | −0.495343 | − | 0.868697i | \(-0.664958\pi\) |
0.915716 | + | 0.401826i | \(0.131624\pi\) | |||||||
\(384\) | −11.9942 | − | 8.71427i | −0.612075 | − | 0.444698i | ||||
\(385\) | 5.97930 | + | 9.64216i | 0.304733 | + | 0.491410i | ||||
\(386\) | 11.8076 | − | 8.57871i | 0.600990 | − | 0.436645i | ||||
\(387\) | 0.352107 | − | 3.35008i | 0.0178986 | − | 0.170294i | ||||
\(388\) | −6.33054 | + | 2.81854i | −0.321384 | + | 0.143089i | ||||
\(389\) | 2.51851 | + | 23.9620i | 0.127694 | + | 1.21492i | 0.851288 | + | 0.524698i | \(0.175822\pi\) |
−0.723595 | + | 0.690225i | \(0.757512\pi\) | |||||||
\(390\) | −3.74480 | − | 1.10987i | −0.189626 | − | 0.0562007i | ||||
\(391\) | 4.44908 | + | 3.23245i | 0.225000 | + | 0.163472i | ||||
\(392\) | −16.4353 | − | 7.10364i | −0.830106 | − | 0.358788i | ||||
\(393\) | −11.6279 | −0.586552 | ||||||||
\(394\) | 3.05492 | − | 3.39283i | 0.153904 | − | 0.170928i | ||||
\(395\) | −3.10835 | − | 12.9558i | −0.156398 | − | 0.651876i | ||||
\(396\) | 1.48498 | + | 1.64924i | 0.0746231 | + | 0.0828774i | ||||
\(397\) | −20.1119 | + | 4.27491i | −1.00939 | + | 0.214552i | −0.682792 | − | 0.730613i | \(-0.739234\pi\) |
−0.326594 | + | 0.945165i | \(0.605901\pi\) | |||||||
\(398\) | −3.38811 | + | 2.46161i | −0.169831 | + | 0.123389i | ||||
\(399\) | −2.98608 | − | 6.60958i | −0.149491 | − | 0.330893i | ||||
\(400\) | 0.264468 | − | 5.01744i | 0.0132234 | − | 0.250872i | ||||
\(401\) | 9.12609 | + | 15.8068i | 0.455735 | + | 0.789356i | 0.998730 | − | 0.0503797i | \(-0.0160431\pi\) |
−0.542995 | + | 0.839736i | \(0.682710\pi\) | |||||||
\(402\) | −0.416809 | − | 3.96568i | −0.0207886 | − | 0.197790i | ||||
\(403\) | −9.73454 | − | 10.8113i | −0.484912 | − | 0.538549i | ||||
\(404\) | −3.03626 | + | 0.645376i | −0.151059 | + | 0.0321087i | ||||
\(405\) | 2.43472 | − | 13.1255i | 0.120982 | − | 0.652213i | ||||
\(406\) | −7.17816 | − | 2.28911i | −0.356246 | − | 0.113607i | ||||
\(407\) | 14.3926 | 0.713413 | ||||||||
\(408\) | −8.19455 | + | 9.10097i | −0.405690 | + | 0.450565i | ||||
\(409\) | −23.1740 | + | 10.3177i | −1.14588 | + | 0.510179i | −0.889744 | − | 0.456461i | \(-0.849117\pi\) |
−0.256138 | + | 0.966640i | \(0.582450\pi\) | |||||||
\(410\) | −14.1643 | + | 8.67698i | −0.699527 | + | 0.428526i | ||||
\(411\) | −19.1757 | − | 8.53757i | −0.945867 | − | 0.421127i | ||||
\(412\) | 17.2691 | + | 12.5467i | 0.850786 | + | 0.618132i | ||||
\(413\) | −5.75390 | − | 5.12428i | −0.283131 | − | 0.252150i | ||||
\(414\) | −0.815538 | + | 0.592523i | −0.0400815 | + | 0.0291209i | ||||
\(415\) | −22.7722 | + | 8.06020i | −1.11784 | + | 0.395659i | ||||
\(416\) | 8.50117 | − | 3.78496i | 0.416804 | − | 0.185573i | ||||
\(417\) | 24.7410 | + | 5.25887i | 1.21157 | + | 0.257528i | ||||
\(418\) | 1.31306 | + | 2.27428i | 0.0642237 | + | 0.111239i | ||||
\(419\) | −4.36121 | − | 13.4224i | −0.213059 | − | 0.655729i | −0.999286 | − | 0.0377905i | \(-0.987968\pi\) |
0.786226 | − | 0.617939i | \(-0.212032\pi\) | |||||||
\(420\) | 4.31440 | + | 11.9811i | 0.210521 | + | 0.584620i | ||||
\(421\) | 9.36727 | − | 28.8295i | 0.456533 | − | 1.40506i | −0.412794 | − | 0.910825i | \(-0.635447\pi\) |
0.869326 | − | 0.494239i | \(-0.164553\pi\) | |||||||
\(422\) | 19.5890 | − | 4.16377i | 0.953578 | − | 0.202689i | ||||
\(423\) | −0.390961 | − | 3.71975i | −0.0190092 | − | 0.180860i | ||||
\(424\) | −13.2190 | + | 22.8960i | −0.641972 | + | 1.11193i | ||||
\(425\) | −15.9326 | − | 2.52839i | −0.772845 | − | 0.122645i | ||||
\(426\) | −5.39891 | −0.261578 | ||||||||
\(427\) | 0.201077 | + | 36.8642i | 0.00973078 | + | 1.78398i | ||||
\(428\) | 3.40416 | − | 10.4769i | 0.164546 | − | 0.506421i | ||||
\(429\) | 4.42014 | − | 0.939529i | 0.213406 | − | 0.0453609i | ||||
\(430\) | −2.67923 | + | 6.46548i | −0.129204 | + | 0.311793i | ||||
\(431\) | 31.9841 | + | 6.79843i | 1.54062 | + | 0.327469i | 0.898444 | − | 0.439088i | \(-0.144698\pi\) |
0.642176 | + | 0.766557i | \(0.278032\pi\) | |||||||
\(432\) | 2.83169 | + | 4.90463i | 0.136240 | + | 0.235974i | ||||
\(433\) | 12.6803 | + | 39.0260i | 0.609378 | + | 1.87547i | 0.463307 | + | 0.886198i | \(0.346663\pi\) |
0.146071 | + | 0.989274i | \(0.453337\pi\) | |||||||
\(434\) | 3.64011 | − | 17.5968i | 0.174731 | − | 0.844674i | ||||
\(435\) | 5.48612 | + | 11.5063i | 0.263039 | + | 0.551687i | ||||
\(436\) | −26.3395 | − | 11.7271i | −1.26143 | − | 0.561626i | ||||
\(437\) | 2.87644 | − | 1.28067i | 0.137599 | − | 0.0612629i | ||||
\(438\) | 0.124005 | − | 0.0552106i | 0.00592519 | − | 0.00263806i | ||||
\(439\) | 13.4716 | + | 5.99795i | 0.642965 | + | 0.286266i | 0.702202 | − | 0.711977i | \(-0.252200\pi\) |
−0.0592373 | + | 0.998244i | \(0.518867\pi\) | |||||||
\(440\) | −4.72059 | − | 9.90076i | −0.225045 | − | 0.472000i | ||||
\(441\) | 3.78195 | + | 4.10923i | 0.180093 | + | 0.195678i | ||||
\(442\) | −1.17354 | − | 3.61180i | −0.0558198 | − | 0.171796i | ||||
\(443\) | 0.950289 | + | 1.64595i | 0.0451496 | + | 0.0782014i | 0.887717 | − | 0.460389i | \(-0.152290\pi\) |
−0.842567 | + | 0.538591i | \(0.818957\pi\) | |||||||
\(444\) | 15.8011 | + | 3.35864i | 0.749889 | + | 0.159394i | ||||
\(445\) | 3.44726 | − | 8.31887i | 0.163416 | − | 0.394352i | ||||
\(446\) | −6.06209 | + | 1.28854i | −0.287048 | + | 0.0610140i | ||||
\(447\) | 5.50135 | − | 16.9314i | 0.260205 | − | 0.800828i | ||||
\(448\) | 5.36604 | + | 3.05918i | 0.253522 | + | 0.144533i | ||||
\(449\) | −17.7963 | −0.839859 | −0.419929 | − | 0.907557i | \(-0.637945\pi\) | ||||
−0.419929 | + | 0.907557i | \(0.637945\pi\) | |||||||
\(450\) | 1.34327 | − | 2.63436i | 0.0633226 | − | 0.124185i | ||||
\(451\) | 9.60905 | − | 16.6434i | 0.452472 | − | 0.783705i | ||||
\(452\) | −2.75279 | − | 26.1910i | −0.129480 | − | 1.23192i | ||||
\(453\) | −10.4803 | + | 2.22765i | −0.492406 | + | 0.104664i | ||||
\(454\) | −0.357160 | + | 1.09923i | −0.0167624 | + | 0.0515893i | ||||
\(455\) | −9.24551 | − | 1.66288i | −0.433436 | − | 0.0779571i | ||||
\(456\) | 2.16675 | + | 6.66857i | 0.101467 | + | 0.312285i | ||||
\(457\) | 2.70219 | + | 4.68033i | 0.126403 | + | 0.218936i | 0.922281 | − | 0.386521i | \(-0.126323\pi\) |
−0.795877 | + | 0.605458i | \(0.792990\pi\) | |||||||
\(458\) | 1.32589 | + | 0.281827i | 0.0619548 | + | 0.0131689i | ||||
\(459\) | 16.6115 | − | 7.39591i | 0.775357 | − | 0.345211i | ||||
\(460\) | −5.21151 | + | 1.84461i | −0.242988 | + | 0.0860053i | ||||
\(461\) | 28.4875 | − | 20.6974i | 1.32679 | − | 0.963972i | 0.326973 | − | 0.945034i | \(-0.393971\pi\) |
0.999821 | − | 0.0189380i | \(-0.00602851\pi\) | |||||||
\(462\) | 4.16826 | + | 3.71215i | 0.193925 | + | 0.172705i | ||||
\(463\) | 21.6656 | + | 15.7410i | 1.00689 | + | 0.731545i | 0.963554 | − | 0.267516i | \(-0.0862027\pi\) |
0.0433320 | + | 0.999061i | \(0.486203\pi\) | |||||||
\(464\) | −3.52656 | − | 1.57012i | −0.163716 | − | 0.0728912i | ||||
\(465\) | −25.9246 | + | 15.8812i | −1.20222 | + | 0.736475i | ||||
\(466\) | −4.48524 | + | 1.99696i | −0.207775 | + | 0.0925072i | ||||
\(467\) | 1.91714 | − | 2.12920i | 0.0887148 | − | 0.0985278i | −0.697153 | − | 0.716923i | \(-0.745550\pi\) |
0.785868 | + | 0.618395i | \(0.212217\pi\) | |||||||
\(468\) | −1.83749 | −0.0849382 | ||||||||
\(469\) | −2.04509 | − | 9.36979i | −0.0944334 | − | 0.432657i | ||||
\(470\) | −1.41728 | + | 7.64056i | −0.0653745 | + | 0.352433i | ||||
\(471\) | −11.1342 | + | 2.36664i | −0.513036 | + | 0.109049i | ||||
\(472\) | 4.98424 | + | 5.53556i | 0.229418 | + | 0.254795i | ||||
\(473\) | −0.846383 | − | 8.05280i | −0.0389167 | − | 0.370268i | ||||
\(474\) | −3.27731 | − | 5.67647i | −0.150532 | − | 0.260729i | ||||
\(475\) | −5.81478 | + | 7.17624i | −0.266800 | + | 0.329268i | ||||
\(476\) | −7.22303 | + | 10.0565i | −0.331067 | + | 0.460941i | ||||
\(477\) | 6.67143 | − | 4.84708i | 0.305464 | − | 0.221932i | ||||
\(478\) | 7.18722 | − | 1.52769i | 0.328736 | − | 0.0698749i | ||||
\(479\) | 20.7197 | + | 23.0116i | 0.946708 | + | 1.05143i | 0.998607 | + | 0.0527730i | \(0.0168060\pi\) |
−0.0518989 | + | 0.998652i | \(0.516527\pi\) | |||||||
\(480\) | −4.53694 | − | 18.9103i | −0.207082 | − | 0.863131i | ||||
\(481\) | −7.97379 | + | 8.85579i | −0.363574 | + | 0.403789i | ||||
\(482\) | 0.266255 | 0.0121276 | ||||||||
\(483\) | 4.94880 | − | 4.50504i | 0.225178 | − | 0.204986i | ||||
\(484\) | −8.59236 | − | 6.24271i | −0.390562 | − | 0.283760i | ||||
\(485\) | −10.2423 | − | 3.03560i | −0.465081 | − | 0.137839i | ||||
\(486\) | 0.623623 | + | 5.93338i | 0.0282881 | + | 0.269144i | ||||
\(487\) | −8.25184 | + | 3.67396i | −0.373927 | + | 0.166483i | −0.585091 | − | 0.810968i | \(-0.698941\pi\) |
0.211164 | + | 0.977451i | \(0.432275\pi\) | |||||||
\(488\) | 3.72534 | − | 35.4443i | 0.168638 | − | 1.60449i | ||||
\(489\) | −14.9356 | + | 10.8514i | −0.675412 | + | 0.490715i | ||||
\(490\) | −5.10762 | − | 10.4184i | −0.230739 | − | 0.470655i | ||||
\(491\) | −8.66004 | − | 6.29189i | −0.390822 | − | 0.283949i | 0.374970 | − | 0.927037i | \(-0.377653\pi\) |
−0.765792 | + | 0.643088i | \(0.777653\pi\) | |||||||
\(492\) | 14.4334 | − | 16.0299i | 0.650706 | − | 0.722682i | ||||
\(493\) | −6.19717 | + | 10.7338i | −0.279106 | + | 0.483426i | ||||
\(494\) | −2.12684 | − | 0.452073i | −0.0956909 | − | 0.0203397i | ||||
\(495\) | 0.0890423 | + | 3.42006i | 0.00400216 | + | 0.153720i | ||||
\(496\) | 2.84506 | − | 8.75619i | 0.127747 | − | 0.393165i | ||||
\(497\) | −12.9062 | + | 1.42771i | −0.578921 | + | 0.0640415i | ||||
\(498\) | −9.61444 | + | 6.98530i | −0.430833 | + | 0.313019i | ||||
\(499\) | 11.5714 | + | 20.0423i | 0.518008 | + | 0.897217i | 0.999781 | + | 0.0209205i | \(0.00665969\pi\) |
−0.481773 | + | 0.876296i | \(0.660007\pi\) | |||||||
\(500\) | 11.1683 | − | 11.7583i | 0.499462 | − | 0.525847i | ||||
\(501\) | 18.9569 | − | 32.8343i | 0.846930 | − | 1.46693i | ||||
\(502\) | 13.3472 | + | 5.94256i | 0.595715 | + | 0.265230i | ||||
\(503\) | 5.18481 | − | 15.9572i | 0.231179 | − | 0.711496i | −0.766426 | − | 0.642332i | \(-0.777967\pi\) |
0.997605 | − | 0.0691638i | \(-0.0220331\pi\) | |||||||
\(504\) | −3.19728 | − | 4.35058i | −0.142418 | − | 0.193790i | ||||
\(505\) | −4.20503 | − | 2.28396i | −0.187121 | − | 0.101635i | ||||
\(506\) | −1.62140 | + | 1.80075i | −0.0720800 | + | 0.0800529i | ||||
\(507\) | 7.77509 | − | 13.4668i | 0.345304 | − | 0.598084i | ||||
\(508\) | 21.8303 | + | 4.64018i | 0.968564 | + | 0.205875i | ||||
\(509\) | 3.58517 | − | 34.1106i | 0.158910 | − | 1.51193i | −0.566759 | − | 0.823884i | \(-0.691803\pi\) |
0.725669 | − | 0.688044i | \(-0.241530\pi\) | |||||||
\(510\) | −7.86857 | + | 1.03471i | −0.348426 | + | 0.0458178i | ||||
\(511\) | 0.281836 | − | 0.164774i | 0.0124677 | − | 0.00728918i | ||||
\(512\) | 8.92326 | + | 6.48313i | 0.394356 | + | 0.286517i | ||||
\(513\) | 1.08824 | − | 10.3539i | 0.0480470 | − | 0.457137i | ||||
\(514\) | −2.12853 | − | 20.2516i | −0.0938854 | − | 0.893259i | ||||
\(515\) | 7.67707 | + | 31.9985i | 0.338292 | + | 1.41002i | ||||
\(516\) | 0.949977 | − | 9.03843i | 0.0418204 | − | 0.397895i | ||||
\(517\) | −2.77827 | − | 8.55062i | −0.122188 | − | 0.376056i | ||||
\(518\) | −14.6467 | − | 1.45870i | −0.643538 | − | 0.0640916i | ||||
\(519\) | 0.979272 | + | 3.01389i | 0.0429853 | + | 0.132295i | ||||
\(520\) | 8.70728 | + | 2.58064i | 0.381839 | + | 0.113169i | ||||
\(521\) | 11.1806 | + | 12.4174i | 0.489832 | + | 0.544014i | 0.936492 | − | 0.350690i | \(-0.114053\pi\) |
−0.446659 | + | 0.894704i | \(0.647386\pi\) | |||||||
\(522\) | −1.52023 | − | 1.68838i | −0.0665385 | − | 0.0738985i | ||||
\(523\) | −6.62991 | − | 2.95182i | −0.289906 | − | 0.129074i | 0.256631 | − | 0.966509i | \(-0.417387\pi\) |
−0.546537 | + | 0.837435i | \(0.684054\pi\) | |||||||
\(524\) | 11.3655 | 0.496505 | ||||||||
\(525\) | −6.94064 | + | 18.3633i | −0.302914 | + | 0.801439i | ||||
\(526\) | 9.82077 | 0.428206 | ||||||||
\(527\) | −27.0049 | − | 12.0233i | −1.17635 | − | 0.523745i | ||||
\(528\) | 1.91358 | + | 2.12525i | 0.0832779 | + | 0.0924895i | ||||
\(529\) | −13.4460 | − | 14.9333i | −0.584608 | − | 0.649273i | ||||
\(530\) | −16.1511 | + | 5.71668i | −0.701561 | + | 0.248317i | ||||
\(531\) | −0.717965 | − | 2.20967i | −0.0311570 | − | 0.0958914i | ||||
\(532\) | 2.91869 | + | 6.46041i | 0.126541 | + | 0.280094i | ||||
\(533\) | 4.91709 | + | 15.1333i | 0.212983 | + | 0.655494i | ||||
\(534\) | 0.463065 | − | 4.40577i | 0.0200388 | − | 0.190656i | ||||
\(535\) | 14.4812 | − | 8.87110i | 0.626077 | − | 0.383531i | ||||
\(536\) | 0.969150 | + | 9.22084i | 0.0418609 | + | 0.398280i | ||||
\(537\) | 1.28590 | − | 12.2345i | 0.0554906 | − | 0.527958i | ||||
\(538\) | 6.97589 | + | 5.06828i | 0.300752 | + | 0.218509i | ||||
\(539\) | 10.9459 | + | 7.77168i | 0.471475 | + | 0.334750i | ||||
\(540\) | −3.33384 | + | 17.9727i | −0.143466 | + | 0.773422i | ||||
\(541\) | 4.67767 | − | 44.5051i | 0.201109 | − | 1.91342i | −0.171067 | − | 0.985259i | \(-0.554721\pi\) |
0.372176 | − | 0.928162i | \(-0.378612\pi\) | |||||||
\(542\) | 7.60996 | + | 1.61755i | 0.326876 | + | 0.0694796i | ||||
\(543\) | −1.42599 | + | 2.46989i | −0.0611951 | + | 0.105993i | ||||
\(544\) | 12.6522 | − | 14.0517i | 0.542459 | − | 0.602462i | ||||
\(545\) | −19.1292 | − | 40.1207i | −0.819404 | − | 1.71858i | ||||
\(546\) | −4.59340 | + | 0.508132i | −0.196579 | + | 0.0217460i | ||||
\(547\) | 0.0430232 | − | 0.132412i | 0.00183954 | − | 0.00566152i | −0.950133 | − | 0.311846i | \(-0.899053\pi\) |
0.951972 | + | 0.306185i | \(0.0990526\pi\) | |||||||
\(548\) | 18.7429 | + | 8.34489i | 0.800658 | + | 0.356476i | ||||
\(549\) | −5.55820 | + | 9.62708i | −0.237218 | + | 0.410874i | ||||
\(550\) | 1.84178 | − | 6.86535i | 0.0785338 | − | 0.292739i | ||||
\(551\) | 3.54818 | + | 6.14563i | 0.151158 | + | 0.261813i | ||||
\(552\) | −5.23419 | + | 3.80286i | −0.222782 | + | 0.161860i | ||||
\(553\) | −9.33558 | − | 12.7030i | −0.396989 | − | 0.540188i | ||||
\(554\) | −3.04327 | + | 9.36622i | −0.129296 | + | 0.397933i | ||||
\(555\) | 15.1572 | + | 19.7593i | 0.643385 | + | 0.838738i | ||||
\(556\) | −24.1827 | − | 5.14019i | −1.02557 | − | 0.217993i | ||||
\(557\) | 11.3557 | − | 19.6687i | 0.481157 | − | 0.833389i | −0.518609 | − | 0.855012i | \(-0.673550\pi\) |
0.999766 | + | 0.0216225i | \(0.00688320\pi\) | |||||||
\(558\) | 3.62574 | − | 4.02679i | 0.153490 | − | 0.170468i | ||||
\(559\) | 5.42383 | + | 3.94064i | 0.229404 | + | 0.166671i | ||||
\(560\) | −2.01416 | − | 5.59336i | −0.0851139 | − | 0.236363i | ||||
\(561\) | 7.42842 | − | 5.39706i | 0.313628 | − | 0.227864i | ||||
\(562\) | −1.89030 | + | 17.9850i | −0.0797374 | + | 0.758651i | ||||
\(563\) | 13.8705 | − | 6.17554i | 0.584572 | − | 0.260268i | −0.0930710 | − | 0.995659i | \(-0.529668\pi\) |
0.677643 | + | 0.735391i | \(0.263002\pi\) | |||||||
\(564\) | −1.05480 | − | 10.0358i | −0.0444153 | − | 0.422583i | ||||
\(565\) | 23.0003 | − | 33.4548i | 0.967629 | − | 1.40745i | ||||
\(566\) | −5.84470 | − | 4.24642i | −0.245671 | − | 0.178491i | ||||
\(567\) | −3.36824 | − | 15.4320i | −0.141453 | − | 0.648081i | ||||
\(568\) | 12.5533 | 0.526726 | ||||||||
\(569\) | −23.8848 | + | 26.5268i | −1.00130 | + | 1.11206i | −0.00760660 | + | 0.999971i | \(0.502421\pi\) |
−0.993698 | + | 0.112090i | \(0.964245\pi\) | |||||||
\(570\) | −1.73952 | + | 4.19778i | −0.0728604 | + | 0.175826i | ||||
\(571\) | −7.77360 | − | 8.63345i | −0.325315 | − | 0.361299i | 0.558196 | − | 0.829709i | \(-0.311494\pi\) |
−0.883511 | + | 0.468410i | \(0.844827\pi\) | |||||||
\(572\) | −4.32039 | + | 0.918326i | −0.180644 | + | 0.0383971i | ||||
\(573\) | −28.9898 | + | 21.0623i | −1.21106 | + | 0.879890i | ||||
\(574\) | −11.4655 | + | 15.9633i | −0.478562 | + | 0.666296i | ||||
\(575\) | −7.95548 | − | 3.05657i | −0.331767 | − | 0.127468i | ||||
\(576\) | 0.931295 | + | 1.61305i | 0.0388040 | + | 0.0672104i | ||||
\(577\) | −1.11963 | − | 10.6525i | −0.0466107 | − | 0.443471i | −0.992793 | − | 0.119838i | \(-0.961762\pi\) |
0.946183 | − | 0.323633i | \(-0.104904\pi\) | |||||||
\(578\) | 3.26897 | + | 3.63056i | 0.135971 | + | 0.151011i | ||||
\(579\) | −28.5789 | + | 6.07463i | −1.18770 | + | 0.252453i | ||||
\(580\) | −5.36231 | − | 11.2467i | −0.222658 | − | 0.466992i | ||||
\(581\) | −21.1362 | + | 19.2409i | −0.876879 | + | 0.798249i | ||||
\(582\) | −5.25549 | −0.217847 | ||||||||
\(583\) | 13.2637 | − | 14.7308i | 0.549326 | − | 0.610088i | ||||
\(584\) | −0.288332 | + | 0.128374i | −0.0119313 | + | 0.00531214i | ||||
\(585\) | −2.15371 | − | 1.84000i | −0.0890449 | − | 0.0760747i | ||||
\(586\) | 7.92330 | + | 3.52768i | 0.327308 | + | 0.145727i | ||||
\(587\) | 11.8326 | + | 8.59686i | 0.488382 | + | 0.354830i | 0.804562 | − | 0.593869i | \(-0.202400\pi\) |
−0.316180 | + | 0.948699i | \(0.602400\pi\) | |||||||
\(588\) | 10.2036 | + | 11.0866i | 0.420790 | + | 0.457204i | ||||
\(589\) | −13.6925 | + | 9.94816i | −0.564189 | + | 0.409907i | ||||
\(590\) | 0.125634 | + | 4.82554i | 0.00517228 | + | 0.198664i | ||||
\(591\) | −8.34942 | + | 3.71740i | −0.343449 | + | 0.152913i | ||||
\(592\) | −7.37672 | − | 1.56797i | −0.303181 | − | 0.0644431i | ||||
\(593\) | −0.272569 | − | 0.472104i | −0.0111931 | − | 0.0193870i | 0.860375 | − | 0.509662i | \(-0.170230\pi\) |
−0.871568 | + | 0.490275i | \(0.836896\pi\) | |||||||
\(594\) | 2.47586 | + | 7.61993i | 0.101586 | + | 0.312649i | ||||
\(595\) | −18.5363 | + | 4.55429i | −0.759915 | + | 0.186708i | ||||
\(596\) | −5.37719 | + | 16.5493i | −0.220258 | + | 0.677886i | ||||
\(597\) | 8.20054 | − | 1.74308i | 0.335626 | − | 0.0713394i | ||||
\(598\) | −0.209715 | − | 1.99530i | −0.00857588 | − | 0.0815940i | ||||
\(599\) | 9.04765 | − | 15.6710i | 0.369677 | − | 0.640300i | −0.619838 | − | 0.784730i | \(-0.712802\pi\) |
0.989515 | + | 0.144430i | \(0.0461350\pi\) | |||||||
\(600\) | 8.62124 | − | 16.9076i | 0.351961 | − | 0.690248i | ||||
\(601\) | −18.0863 | −0.737756 | −0.368878 | − | 0.929478i | \(-0.620258\pi\) | ||||
−0.368878 | + | 0.929478i | \(0.620258\pi\) | |||||||
\(602\) | 0.0451676 | + | 8.28076i | 0.00184089 | + | 0.337499i | ||||
\(603\) | 0.893658 | − | 2.75040i | 0.0363926 | − | 0.112005i | ||||
\(604\) | 10.2437 | − | 2.17738i | 0.416812 | − | 0.0885961i | ||||
\(605\) | −3.81979 | − | 15.9211i | −0.155296 | − | 0.647285i | ||||
\(606\) | −2.30272 | − | 0.489458i | −0.0935416 | − | 0.0198829i | ||||
\(607\) | −16.4306 | − | 28.4587i | −0.666899 | − | 1.15510i | −0.978767 | − | 0.204977i | \(-0.934288\pi\) |
0.311868 | − | 0.950125i | \(-0.399045\pi\) | |||||||
\(608\) | −3.34542 | − | 10.2961i | −0.135675 | − | 0.417564i | ||||
\(609\) | 11.2636 | + | 10.0311i | 0.456423 | + | 0.406479i | ||||
\(610\) | 16.7556 | − | 15.8957i | 0.678415 | − | 0.643598i | ||||
\(611\) | 6.80044 | + | 3.02775i | 0.275117 | + | 0.122490i | ||||
\(612\) | −3.41085 | + | 1.51861i | −0.137876 | + | 0.0613862i | ||||
\(613\) | −10.1175 | + | 4.50460i | −0.408641 | + | 0.181939i | −0.600754 | − | 0.799434i | \(-0.705133\pi\) |
0.192112 | + | 0.981373i | \(0.438466\pi\) | |||||||
\(614\) | 7.01850 | + | 3.12484i | 0.283243 | + | 0.126108i | ||||
\(615\) | 32.9689 | − | 4.33539i | 1.32944 | − | 0.174820i | ||||
\(616\) | −9.69187 | − | 8.63135i | −0.390497 | − | 0.347767i | ||||
\(617\) | 10.0807 | + | 31.0252i | 0.405834 | + | 1.24903i | 0.920197 | + | 0.391456i | \(0.128029\pi\) |
−0.514362 | + | 0.857573i | \(0.671971\pi\) | |||||||
\(618\) | 8.09439 | + | 14.0199i | 0.325604 | + | 0.563963i | ||||
\(619\) | −24.2709 | − | 5.15894i | −0.975530 | − | 0.207355i | −0.307548 | − | 0.951533i | \(-0.599508\pi\) |
−0.667982 | + | 0.744177i | \(0.732842\pi\) | |||||||
\(620\) | 25.3395 | − | 15.5228i | 1.01766 | − | 0.623412i | ||||
\(621\) | 9.39637 | − | 1.99726i | 0.377063 | − | 0.0801473i | ||||
\(622\) | −1.52294 | + | 4.68713i | −0.0610643 | + | 0.187937i | ||||
\(623\) | −0.0581153 | − | 10.6545i | −0.00232834 | − | 0.426864i | ||||
\(624\) | −2.36784 | −0.0947894 | ||||||||
\(625\) | 24.8646 | − | 2.59824i | 0.994585 | − | 0.103930i | ||||
\(626\) | −1.76262 | + | 3.05295i | −0.0704484 | + | 0.122020i | ||||
\(627\) | −0.549523 | − | 5.22836i | −0.0219458 | − | 0.208801i | ||||
\(628\) | 10.8829 | − | 2.31323i | 0.434275 | − | 0.0923080i | ||||
\(629\) | −7.48245 | + | 23.0286i | −0.298345 | + | 0.918210i | ||||
\(630\) | 0.256013 | − | 3.48947i | 0.0101998 | − | 0.139024i | ||||
\(631\) | 13.0204 | + | 40.0726i | 0.518334 | + | 1.59527i | 0.777134 | + | 0.629336i | \(0.216673\pi\) |
−0.258800 | + | 0.965931i | \(0.583327\pi\) | |||||||
\(632\) | 7.62029 | + | 13.1987i | 0.303119 | + | 0.525017i | ||||
\(633\) | −39.2148 | − | 8.33536i | −1.55865 | − | 0.331301i | ||||
\(634\) | 6.75196 | − | 3.00617i | 0.268155 | − | 0.119390i | ||||
\(635\) | 20.9406 | + | 27.2988i | 0.831002 | + | 1.08332i | ||||
\(636\) | 17.9994 | − | 13.0773i | 0.713721 | − | 0.518549i | ||||
\(637\) | −10.8462 | + | 2.42939i | −0.429743 | + | 0.0962561i | ||||
\(638\) | −4.41822 | − | 3.21002i | −0.174919 | − | 0.127086i | ||||
\(639\) | −3.57702 | − | 1.59259i | −0.141505 | − | 0.0630020i | ||||
\(640\) | 5.21175 | + | 21.7229i | 0.206012 | + | 0.858673i | ||||
\(641\) | −23.4748 | + | 10.4517i | −0.927200 | + | 0.412816i | −0.814072 | − | 0.580764i | \(-0.802754\pi\) |
−0.113128 | + | 0.993580i | \(0.536087\pi\) | |||||||
\(642\) | 5.59038 | − | 6.20874i | 0.220635 | − | 0.245040i | ||||
\(643\) | −3.31021 | −0.130542 | −0.0652709 | − | 0.997868i | \(-0.520791\pi\) | ||||
−0.0652709 | + | 0.997868i | \(0.520791\pi\) | |||||||
\(644\) | −4.83712 | + | 4.40337i | −0.190609 | + | 0.173517i | ||||
\(645\) | 10.1642 | − | 9.64258i | 0.400216 | − | 0.379676i | ||||
\(646\) | −4.32157 | + | 0.918577i | −0.170030 | + | 0.0361409i | ||||
\(647\) | 16.8782 | + | 18.7451i | 0.663549 | + | 0.736946i | 0.977136 | − | 0.212614i | \(-0.0681976\pi\) |
−0.313588 | + | 0.949559i | \(0.601531\pi\) | |||||||
\(648\) | 1.59618 | + | 15.1866i | 0.0627039 | + | 0.596588i | ||||
\(649\) | −2.79243 | − | 4.83664i | −0.109613 | − | 0.189855i | ||||
\(650\) | 3.20389 | + | 4.93680i | 0.125667 | + | 0.193637i | ||||
\(651\) | −20.9850 | + | 29.2172i | −0.822468 | + | 1.14511i | ||||
\(652\) | 14.5985 | − | 10.6065i | 0.571723 | − | 0.415381i | ||||
\(653\) | −8.70492 | + | 1.85029i | −0.340650 | + | 0.0724073i | −0.375060 | − | 0.927000i | \(-0.622378\pi\) |
0.0344105 | + | 0.999408i | \(0.489045\pi\) | |||||||
\(654\) | −14.6316 | − | 16.2500i | −0.572140 | − | 0.635426i | ||||
\(655\) | 13.3214 | + | 11.3810i | 0.520511 | + | 0.444694i | ||||
\(656\) | −6.73816 | + | 7.48349i | −0.263081 | + | 0.292181i | ||||
\(657\) | 0.0984453 | 0.00384072 | ||||||||
\(658\) | 1.96070 | + | 8.98317i | 0.0764362 | + | 0.350200i | ||||
\(659\) | 17.8405 | + | 12.9619i | 0.694968 | + | 0.504924i | 0.878290 | − | 0.478129i | \(-0.158685\pi\) |
−0.183321 | + | 0.983053i | \(0.558685\pi\) | |||||||
\(660\) | 0.240234 | + | 9.22726i | 0.00935111 | + | 0.359171i | ||||
\(661\) | 1.16499 | + | 11.0841i | 0.0453128 | + | 0.431123i | 0.993536 | + | 0.113518i | \(0.0362119\pi\) |
−0.948223 | + | 0.317605i | \(0.897121\pi\) | |||||||
\(662\) | −21.8278 | + | 9.71838i | −0.848363 | + | 0.377716i | ||||
\(663\) | −0.794674 | + | 7.56082i | −0.0308626 | + | 0.293638i | ||||
\(664\) | 22.3551 | − | 16.2420i | 0.867548 | − | 0.630310i | ||||
\(665\) | −3.04827 | + | 10.4949i | −0.118207 | + | 0.406973i | ||||
\(666\) | −3.59081 | − | 2.60888i | −0.139141 | − | 0.101092i | ||||
\(667\) | −4.38139 | + | 4.86602i | −0.169648 | + | 0.188413i | ||||
\(668\) | −18.5291 | + | 32.0933i | −0.716911 | + | 1.24173i | ||||
\(669\) | 12.1356 | + | 2.57949i | 0.469188 | + | 0.0997290i | ||||
\(670\) | −3.40396 | + | 4.95119i | −0.131506 | + | 0.191281i | ||||
\(671\) | −8.25731 | + | 25.4134i | −0.318770 | + | 0.981073i | ||||
\(672\) | −13.6262 | − | 18.5413i | −0.525642 | − | 0.715247i | ||||
\(673\) | 14.4716 | − | 10.5142i | 0.557838 | − | 0.405293i | −0.272829 | − | 0.962062i | \(-0.587959\pi\) |
0.830667 | + | 0.556770i | \(0.187959\pi\) | |||||||
\(674\) | −0.132904 | − | 0.230196i | −0.00511926 | − | 0.00886682i | ||||
\(675\) | −21.9048 | + | 17.7272i | −0.843116 | + | 0.682322i | ||||
\(676\) | −7.59962 | + | 13.1629i | −0.292293 | + | 0.506267i | ||||
\(677\) | 6.84183 | + | 3.04618i | 0.262953 | + | 0.117074i | 0.533979 | − | 0.845498i | \(-0.320696\pi\) |
−0.271026 | + | 0.962572i | \(0.587363\pi\) | |||||||
\(678\) | 6.17197 | − | 18.9954i | 0.237033 | − | 0.729512i | ||||
\(679\) | −12.5633 | + | 1.38978i | −0.482136 | + | 0.0533350i | ||||
\(680\) | 18.2957 | − | 2.40587i | 0.701608 | − | 0.0922611i | ||||
\(681\) | 1.54821 | − | 1.71946i | 0.0593275 | − | 0.0658898i | ||||
\(682\) | 6.51251 | − | 11.2800i | 0.249377 | − | 0.431933i | ||||
\(683\) | −13.9203 | − | 2.95885i | −0.532645 | − | 0.113217i | −0.0662656 | − | 0.997802i | \(-0.521108\pi\) |
−0.466379 | + | 0.884585i | \(0.654442\pi\) | |||||||
\(684\) | −0.223450 | + | 2.12598i | −0.00854382 | + | 0.0812890i | ||||
\(685\) | 13.6121 | + | 28.5495i | 0.520093 | + | 1.09082i | ||||
\(686\) | −10.3515 | − | 9.01827i | −0.395223 | − | 0.344319i | ||||
\(687\) | −2.19532 | − | 1.59500i | −0.0837568 | − | 0.0608529i | ||||
\(688\) | −0.443494 | + | 4.21956i | −0.0169080 | + | 0.160869i | ||||
\(689\) | 1.71555 | + | 16.3224i | 0.0653573 | + | 0.621833i | ||||
\(690\) | −4.17975 | − | 0.329587i | −0.159120 | − | 0.0125472i | ||||
\(691\) | 3.81994 | − | 36.3443i | 0.145317 | − | 1.38260i | −0.642308 | − | 0.766447i | \(-0.722023\pi\) |
0.787625 | − | 0.616155i | \(-0.211311\pi\) | |||||||
\(692\) | −0.957172 | − | 2.94587i | −0.0363862 | − | 0.111985i | ||||
\(693\) | 1.66664 | + | 3.68904i | 0.0633102 | + | 0.140135i | ||||
\(694\) | 4.90405 | + | 15.0931i | 0.186155 | + | 0.572927i | ||||
\(695\) | −23.1971 | − | 30.2405i | −0.879916 | − | 1.14709i | ||||
\(696\) | −9.75693 | − | 10.8362i | −0.369836 | − | 0.410744i | ||||
\(697\) | 21.6344 | + | 24.0274i | 0.819460 | + | 0.910103i | ||||
\(698\) | −12.1431 | − | 5.40647i | −0.459625 | − | 0.204638i | ||||
\(699\) | 9.82862 | 0.371753 | ||||||||
\(700\) | 6.78400 | − | 17.9489i | 0.256411 | − | 0.678403i | ||||
\(701\) | −2.52198 | −0.0952540 | −0.0476270 | − | 0.998865i | \(-0.515166\pi\) | ||||
−0.0476270 | + | 0.998865i | \(0.515166\pi\) | |||||||
\(702\) | −6.06025 | − | 2.69820i | −0.228729 | − | 0.101837i | ||||
\(703\) | 9.27651 | + | 10.3026i | 0.349870 | + | 0.388570i | ||||
\(704\) | 2.99585 | + | 3.32723i | 0.112910 | + | 0.125400i | ||||
\(705\) | 8.81317 | − | 12.8191i | 0.331923 | − | 0.482795i | ||||
\(706\) | −4.24049 | − | 13.0509i | −0.159593 | − | 0.491176i | ||||
\(707\) | −5.63412 | − | 0.561117i | −0.211893 | − | 0.0211030i | ||||
\(708\) | −1.93705 | − | 5.96163i | −0.0727989 | − | 0.224052i | ||||
\(709\) | −2.35391 | + | 22.3960i | −0.0884030 | + | 0.841098i | 0.857027 | + | 0.515272i | \(0.172309\pi\) |
−0.945430 | + | 0.325826i | \(0.894358\pi\) | |||||||
\(710\) | 6.18520 | + | 5.28427i | 0.232126 | + | 0.198315i | ||||
\(711\) | −0.496899 | − | 4.72768i | −0.0186352 | − | 0.177302i | ||||
\(712\) | −1.07670 | + | 10.2441i | −0.0403511 | + | 0.383915i | ||||
\(713\) | −12.6342 | − | 9.17927i | −0.473154 | − | 0.343766i | ||||
\(714\) | −8.10657 | + | 4.73947i | −0.303381 | + | 0.177370i | ||||
\(715\) | −5.98346 | − | 3.24992i | −0.223769 | − | 0.121540i | ||||
\(716\) | −1.25688 | + | 11.9584i | −0.0469718 | + | 0.446906i | ||||
\(717\) | −14.3879 | − | 3.05825i | −0.537327 | − | 0.114212i | ||||
\(718\) | 8.83107 | − | 15.2959i | 0.329573 | − | 0.570836i | ||||
\(719\) | −21.5436 | + | 23.9265i | −0.803439 | + | 0.892310i | −0.996034 | − | 0.0889688i | \(-0.971643\pi\) |
0.192595 | + | 0.981278i | \(0.438310\pi\) | |||||||
\(720\) | 0.326955 | − | 1.76261i | 0.0121849 | − | 0.0656885i | ||||
\(721\) | 23.0572 | + | 31.3743i | 0.858696 | + | 1.16844i | ||||
\(722\) | 3.57068 | − | 10.9894i | 0.132887 | − | 0.408984i | ||||
\(723\) | −0.486928 | − | 0.216795i | −0.0181091 | − | 0.00806268i | ||||
\(724\) | 1.39381 | − | 2.41415i | 0.0518005 | − | 0.0897211i | ||||
\(725\) | 4.97691 | − | 18.5517i | 0.184838 | − | 0.688994i | ||||
\(726\) | −4.02743 | − | 6.97571i | −0.149472 | − | 0.258893i | ||||
\(727\) | −40.0782 | + | 29.1185i | −1.48642 | + | 1.07995i | −0.511001 | + | 0.859580i | \(0.670725\pi\) |
−0.975417 | + | 0.220366i | \(0.929275\pi\) | |||||||
\(728\) | 10.6804 | − | 1.18149i | 0.395842 | − | 0.0437889i | ||||
\(729\) | 9.22523 | − | 28.3923i | 0.341675 | − | 1.05157i | ||||
\(730\) | −0.196103 | − | 0.0581206i | −0.00725811 | − | 0.00215114i | ||||
\(731\) | 13.3248 | + | 2.83227i | 0.492835 | + | 0.104755i | ||||
\(732\) | −14.9959 | + | 25.9737i | −0.554264 | + | 0.960014i | ||||
\(733\) | −16.4817 | + | 18.3048i | −0.608765 | + | 0.676102i | −0.966187 | − | 0.257841i | \(-0.916989\pi\) |
0.357422 | + | 0.933943i | \(0.383656\pi\) | |||||||
\(734\) | −5.84038 | − | 4.24328i | −0.215572 | − | 0.156622i | ||||
\(735\) | 0.857805 | + | 23.2121i | 0.0316406 | + | 0.856190i | ||||
\(736\) | 8.08148 | − | 5.87154i | 0.297887 | − | 0.216428i | ||||
\(737\) | 0.726634 | − | 6.91346i | 0.0267659 | − | 0.254661i | ||||
\(738\) | −5.41424 | + | 2.41058i | −0.199301 | + | 0.0887345i | ||||
\(739\) | −1.63940 | − | 15.5979i | −0.0603063 | − | 0.573776i | −0.982397 | − | 0.186803i | \(-0.940187\pi\) |
0.922091 | − | 0.386973i | \(-0.126479\pi\) | |||||||
\(740\) | −14.8151 | − | 19.3134i | −0.544614 | − | 0.709975i | ||||
\(741\) | 3.52148 | + | 2.55850i | 0.129365 | + | 0.0939889i | ||||
\(742\) | −14.9909 | + | 13.6466i | −0.550332 | + | 0.500983i | ||||
\(743\) | 20.8321 | 0.764256 | 0.382128 | − | 0.924109i | \(-0.375191\pi\) | ||||
0.382128 | + | 0.924109i | \(0.375191\pi\) | |||||||
\(744\) | 23.2703 | − | 25.8443i | 0.853130 | − | 0.947497i | ||||
\(745\) | −22.8744 | + | 14.0127i | −0.838055 | + | 0.513387i | ||||
\(746\) | 5.72977 | + | 6.36356i | 0.209782 | + | 0.232986i | ||||
\(747\) | −8.43056 | + | 1.79197i | −0.308458 | + | 0.0655648i | ||||
\(748\) | −7.26077 | + | 5.27526i | −0.265480 | + | 0.192883i | ||||
\(749\) | 11.7220 | − | 16.3204i | 0.428313 | − | 0.596336i | ||||
\(750\) | 11.3650 | − | 4.70151i | 0.414990 | − | 0.171675i | ||||
\(751\) | 0.106600 | + | 0.184637i | 0.00388991 | + | 0.00673751i | 0.867964 | − | 0.496627i | \(-0.165428\pi\) |
−0.864074 | + | 0.503365i | \(0.832095\pi\) | |||||||
\(752\) | 0.492432 | + | 4.68518i | 0.0179571 | + | 0.170851i | ||||
\(753\) | −19.5708 | − | 21.7356i | −0.713200 | − | 0.792089i | ||||
\(754\) | 4.42293 | − | 0.940122i | 0.161073 | − | 0.0342372i | ||||
\(755\) | 14.1869 | + | 7.70565i | 0.516316 | + | 0.280437i | ||||
\(756\) | 4.61211 | + | 21.1309i | 0.167741 | + | 0.768522i | ||||
\(757\) | −37.0085 | −1.34510 | −0.672549 | − | 0.740052i | \(-0.734801\pi\) | ||||
−0.672549 | + | 0.740052i | \(0.734801\pi\) | |||||||
\(758\) | −1.80252 | + | 2.00190i | −0.0654705 | + | 0.0727123i | ||||
\(759\) | 4.43146 | − | 1.97301i | 0.160852 | − | 0.0716158i | ||||
\(760\) | 4.04466 | − | 9.76052i | 0.146715 | − | 0.354051i | ||||
\(761\) | 18.1842 | + | 8.09611i | 0.659175 | + | 0.293484i | 0.708931 | − | 0.705278i | \(-0.249178\pi\) |
−0.0497559 | + | 0.998761i | \(0.515844\pi\) | |||||||
\(762\) | 13.6936 | + | 9.94895i | 0.496065 | + | 0.360412i | ||||
\(763\) | −39.2742 | − | 34.9767i | −1.42182 | − | 1.26624i | ||||
\(764\) | 28.3355 | − | 20.5870i | 1.02514 | − | 0.744810i | ||||
\(765\) | −5.51851 | − | 1.63556i | −0.199522 | − | 0.0591339i | ||||
\(766\) | −8.32611 | + | 3.70702i | −0.300835 | + | 0.133940i | ||||
\(767\) | 4.52307 | + | 0.961408i | 0.163319 | + | 0.0347144i | ||||
\(768\) | 8.95957 | + | 15.5184i | 0.323300 | + | 0.559973i | ||||
\(769\) | −12.9480 | − | 39.8498i | −0.466916 | − | 1.43702i | −0.856557 | − | 0.516053i | \(-0.827401\pi\) |
0.389640 | − | 0.920967i | \(-0.372599\pi\) | |||||||
\(770\) | −1.14199 | − | 8.33253i | −0.0411545 | − | 0.300284i | ||||
\(771\) | −12.5969 | + | 38.7694i | −0.453667 | + | 1.39624i | ||||
\(772\) | 27.9339 | − | 5.93754i | 1.00536 | − | 0.213697i | ||||
\(773\) | 0.268445 | + | 2.55409i | 0.00965531 | + | 0.0918641i | 0.998288 | − | 0.0584849i | \(-0.0186269\pi\) |
−0.988633 | + | 0.150349i | \(0.951960\pi\) | |||||||
\(774\) | −1.24853 | + | 2.16252i | −0.0448776 | + | 0.0777302i | ||||
\(775\) | 45.2443 | + | 7.17995i | 1.62522 | + | 0.257911i | ||||
\(776\) | 12.2199 | 0.438668 | ||||||||
\(777\) | 25.5982 | + | 14.5935i | 0.918330 | + | 0.523541i | ||||
\(778\) | 5.51926 | − | 16.9865i | 0.197875 | − | 0.608997i | ||||
\(779\) | 18.1072 | − | 3.84880i | 0.648756 | − | 0.137897i | ||||
\(780\) | −5.81066 | − | 4.96428i | −0.208055 | − | 0.177750i | ||||
\(781\) | −9.20637 | − | 1.95687i | −0.329430 | − | 0.0700225i | ||||
\(782\) | −2.03832 | − | 3.53047i | −0.0728901 | − | 0.126249i | ||||
\(783\) | 6.69035 | + | 20.5908i | 0.239094 | + | 0.735854i | ||||
\(784\) | −4.76352 | − | 5.17575i | −0.170126 | − | 0.184848i | ||||
\(785\) | 15.0721 | + | 8.18644i | 0.537948 | + | 0.292187i | ||||
\(786\) | 7.87449 | + | 3.50595i | 0.280874 | + | 0.125053i | ||||
\(787\) | −19.5237 | + | 8.69252i | −0.695946 | + | 0.309855i | −0.724048 | − | 0.689750i | \(-0.757720\pi\) |
0.0281018 | + | 0.999605i | \(0.491054\pi\) | |||||||
\(788\) | 8.16099 | − | 3.63351i | 0.290723 | − | 0.129438i | ||||
\(789\) | −17.9603 | − | 7.99643i | −0.639403 | − | 0.284680i | ||||
\(790\) | −1.80132 | + | 9.71091i | −0.0640882 | + | 0.345499i | ||||
\(791\) | 9.73097 | − | 47.0408i | 0.345993 | − | 1.67258i | ||||
\(792\) | −1.20934 | − | 3.72197i | −0.0429720 | − | 0.132254i | ||||
\(793\) | −11.0622 | − | 19.1603i | −0.392831 | − | 0.680403i | ||||
\(794\) | 14.9088 | + | 3.16896i | 0.529092 | + | 0.112462i | ||||
\(795\) | 34.1920 | + | 2.69615i | 1.21267 | + | 0.0956226i | ||||
\(796\) | −8.01547 | + | 1.70374i | −0.284101 | + | 0.0603875i | ||||
\(797\) | 9.18519 | − | 28.2691i | 0.325356 | − | 1.00134i | −0.645923 | − | 0.763402i | \(-0.723527\pi\) |
0.971280 | − | 0.237941i | \(-0.0764725\pi\) | |||||||
\(798\) | 0.0293255 | + | 5.37637i | 0.00103811 | + | 0.190321i | ||||
\(799\) | 15.1257 | 0.535107 | ||||||||
\(800\) | −13.3110 | + | 26.1049i | −0.470616 | + | 0.922948i | ||||
\(801\) | 1.60644 | − | 2.78243i | 0.0567606 | − | 0.0983122i | ||||
\(802\) | −1.41429 | − | 13.4561i | −0.0499403 | − | 0.475150i | ||||
\(803\) | 0.231468 | − | 0.0492001i | 0.00816834 | − | 0.00173623i | ||||
\(804\) | 2.41107 | − | 7.42050i | 0.0850318 | − | 0.261701i | ||||
\(805\) | −10.0789 | + | 0.317428i | −0.355235 | + | 0.0111879i | ||||
\(806\) | 3.33255 | + | 10.2565i | 0.117384 | + | 0.361271i | ||||
\(807\) | −8.63077 | − | 14.9489i | −0.303817 | − | 0.526227i | ||||
\(808\) | 5.35420 | + | 1.13807i | 0.188360 | + | 0.0400372i | ||||
\(809\) | 2.28255 | − | 1.01626i | 0.0802501 | − | 0.0357296i | −0.366219 | − | 0.930529i | \(-0.619348\pi\) |
0.446469 | + | 0.894799i | \(0.352681\pi\) | |||||||
\(810\) | −5.60629 | + | 8.15457i | −0.196985 | + | 0.286522i | ||||
\(811\) | 17.3466 | − | 12.6030i | 0.609121 | − | 0.442552i | −0.239984 | − | 0.970777i | \(-0.577142\pi\) |
0.849105 | + | 0.528225i | \(0.177142\pi\) | |||||||
\(812\) | −11.0094 | − | 9.80469i | −0.386354 | − | 0.344077i | ||||
\(813\) | −12.6001 | − | 9.15449i | −0.441904 | − | 0.321062i | ||||
\(814\) | −9.74670 | − | 4.33951i | −0.341622 | − | 0.152100i | ||||
\(815\) | 27.7318 | + | 2.18674i | 0.971401 | + | 0.0765981i | ||||
\(816\) | −4.39531 | + | 1.95692i | −0.153867 | + | 0.0685058i | ||||
\(817\) | 5.21890 | − | 5.79618i | 0.182586 | − | 0.202783i | ||||
\(818\) | 18.8045 | 0.657482 | ||||||||
\(819\) | −3.19323 | − | 1.01832i | −0.111580 | − | 0.0355830i | ||||
\(820\) | −32.2249 | + | 4.23755i | −1.12534 | + | 0.147982i | ||||
\(821\) | 0.600994 | − | 0.127745i | 0.0209748 | − | 0.00445834i | −0.197412 | − | 0.980321i | \(-0.563254\pi\) |
0.218387 | + | 0.975862i | \(0.429920\pi\) | |||||||
\(822\) | 10.4117 | + | 11.5633i | 0.363149 | + | 0.403318i | ||||
\(823\) | −1.92799 | − | 18.3436i | −0.0672055 | − | 0.639417i | −0.975335 | − | 0.220729i | \(-0.929157\pi\) |
0.908130 | − | 0.418689i | \(-0.137510\pi\) | |||||||
\(824\) | −18.8208 | − | 32.5985i | −0.655653 | − | 1.13562i | ||||
\(825\) | −8.95828 | + | 11.0557i | −0.311887 | + | 0.384912i | ||||
\(826\) | 2.35154 | + | 5.20505i | 0.0818205 | + | 0.181107i | ||||
\(827\) | 35.2203 | − | 25.5890i | 1.22473 | − | 0.889818i | 0.228245 | − | 0.973604i | \(-0.426701\pi\) |
0.996484 | + | 0.0837861i | \(0.0267012\pi\) | |||||||
\(828\) | −1.92937 | + | 0.410100i | −0.0670502 | + | 0.0142520i | ||||
\(829\) | −15.2610 | − | 16.9491i | −0.530036 | − | 0.588665i | 0.417355 | − | 0.908744i | \(-0.362957\pi\) |
−0.947391 | + | 0.320079i | \(0.896291\pi\) | |||||||
\(830\) | 17.8517 | + | 1.40766i | 0.619640 | + | 0.0488606i | ||||
\(831\) | 13.1919 | − | 14.6511i | 0.457621 | − | 0.508240i | ||||
\(832\) | −3.70702 | −0.128518 | ||||||||
\(833\) | −18.1256 | + | 13.4735i | −0.628013 | + | 0.466830i | ||||
\(834\) | −15.1691 | − | 11.0210i | −0.525264 | − | 0.381627i | ||||
\(835\) | −53.8548 | + | 19.0619i | −1.86372 | + | 0.659663i | ||||
\(836\) | 0.537121 | + | 5.11037i | 0.0185767 | + | 0.176746i | ||||
\(837\) | −47.1721 | + | 21.0024i | −1.63051 | + | 0.725948i | ||||
\(838\) | −1.09358 | + | 10.4047i | −0.0377770 | + | 0.359424i | ||||
\(839\) | −23.7676 | + | 17.2682i | −0.820550 | + | 0.596165i | −0.916870 | − | 0.399186i | \(-0.869293\pi\) |
0.0963199 | + | 0.995350i | \(0.469293\pi\) | |||||||
\(840\) | 1.64311 | − | 22.3957i | 0.0566926 | − | 0.772726i | ||||
\(841\) | 11.5225 | + | 8.37156i | 0.397326 | + | 0.288674i | ||||
\(842\) | −15.0359 | + | 16.6991i | −0.518173 | + | 0.575489i | ||||
\(843\) | 18.1010 | − | 31.3519i | 0.623433 | − | 1.07982i | ||||
\(844\) | 38.3298 | + | 8.14725i | 1.31937 | + | 0.280440i | ||||
\(845\) | −22.0883 | + | 7.81815i | −0.759862 | + | 0.268953i | ||||
\(846\) | −0.856783 | + | 2.63691i | −0.0294568 | + | 0.0906587i | ||||
\(847\) | −11.4723 | − | 15.6105i | −0.394193 | − | 0.536383i | ||||
\(848\) | −8.40295 | + | 6.10510i | −0.288558 | + | 0.209650i | ||||
\(849\) | 7.23123 | + | 12.5249i | 0.248175 | + | 0.429852i | ||||
\(850\) | 10.0273 | + | 6.51609i | 0.343933 | + | 0.223500i | ||||
\(851\) | −6.39601 | + | 11.0782i | −0.219252 | + | 0.379756i | ||||
\(852\) | −9.65073 | − | 4.29678i | −0.330629 | − | 0.147205i | ||||
\(853\) | 2.52403 | − | 7.76816i | 0.0864211 | − | 0.265977i | −0.898502 | − | 0.438969i | \(-0.855344\pi\) |
0.984923 | + | 0.172993i | \(0.0553437\pi\) | |||||||
\(854\) | 10.9788 | − | 25.0252i | 0.375686 | − | 0.856345i | ||||
\(855\) | −2.39079 | + | 2.26809i | −0.0817633 | + | 0.0775671i | ||||
\(856\) | −12.9985 | + | 14.4363i | −0.444281 | + | 0.493424i | ||||
\(857\) | 2.93728 | − | 5.08752i | 0.100336 | − | 0.173786i | −0.811487 | − | 0.584370i | \(-0.801342\pi\) |
0.911823 | + | 0.410584i | \(0.134675\pi\) | |||||||
\(858\) | −3.27661 | − | 0.696466i | −0.111862 | − | 0.0237770i | ||||
\(859\) | 2.48529 | − | 23.6460i | 0.0847971 | − | 0.806791i | −0.866637 | − | 0.498939i | \(-0.833723\pi\) |
0.951434 | − | 0.307852i | \(-0.0996102\pi\) | |||||||
\(860\) | −9.93484 | + | 9.42497i | −0.338775 | + | 0.321389i | ||||
\(861\) | 33.9661 | − | 19.8582i | 1.15756 | − | 0.676765i | ||||
\(862\) | −19.6100 | − | 14.2475i | −0.667918 | − | 0.485271i | ||||
\(863\) | −0.0238904 | + | 0.227302i | −0.000813240 | + | 0.00773746i | −0.994921 | − | 0.100659i | \(-0.967905\pi\) |
0.994108 | + | 0.108396i | \(0.0345716\pi\) | |||||||
\(864\) | −3.45250 | − | 32.8483i | −0.117456 | − | 1.11752i | ||||
\(865\) | 1.82800 | − | 4.41131i | 0.0621539 | − | 0.149989i | ||||
\(866\) | 3.17960 | − | 30.2519i | 0.108047 | − | 1.02800i | ||||
\(867\) | −3.02218 | − | 9.30130i | −0.102638 | − | 0.315889i | ||||
\(868\) | 20.5114 | − | 28.5579i | 0.696204 | − | 0.969317i | ||||
\(869\) | −3.53109 | − | 10.8676i | −0.119784 | − | 0.368657i | ||||
\(870\) | −0.245936 | − | 9.44626i | −0.00833801 | − | 0.320258i | ||||
\(871\) | 3.85130 | + | 4.27731i | 0.130496 | + | 0.144931i | ||||
\(872\) | 34.0208 | + | 37.7839i | 1.15209 | + | 1.27952i | ||||
\(873\) | −3.48200 | − | 1.55029i | −0.117848 | − | 0.0524693i | ||||
\(874\) | −2.33407 | −0.0789512 | ||||||||
\(875\) | 25.9248 | − | 14.2444i | 0.876419 | − | 0.481549i | ||||
\(876\) | 0.265603 | 0.00897390 | ||||||||
\(877\) | −23.6839 | − | 10.5447i | −0.799748 | − | 0.356071i | −0.0341717 | − | 0.999416i | \(-0.510879\pi\) |
−0.765576 | + | 0.643345i | \(0.777546\pi\) | |||||||
\(878\) | −7.31459 | − | 8.12367i | −0.246855 | − | 0.274161i | ||||
\(879\) | −11.6178 | − | 12.9029i | −0.391859 | − | 0.435204i | ||||
\(880\) | −0.112153 | − | 4.30772i | −0.00378066 | − | 0.145213i | ||||
\(881\) | 8.56363 | + | 26.3561i | 0.288516 | + | 0.887961i | 0.985323 | + | 0.170702i | \(0.0546035\pi\) |
−0.696807 | + | 0.717259i | \(0.745396\pi\) | |||||||
\(882\) | −1.32217 | − | 3.92309i | −0.0445199 | − | 0.132097i | ||||
\(883\) | −1.76541 | − | 5.43338i | −0.0594108 | − | 0.182848i | 0.916947 | − | 0.399010i | \(-0.130646\pi\) |
−0.976358 | + | 0.216162i | \(0.930646\pi\) | |||||||
\(884\) | 0.776740 | − | 7.39019i | 0.0261246 | − | 0.248559i | ||||
\(885\) | 3.69937 | − | 8.92727i | 0.124353 | − | 0.300087i | ||||
\(886\) | −0.147268 | − | 1.40117i | −0.00494758 | − | 0.0470731i | ||||
\(887\) | 3.70555 | − | 35.2560i | 0.124420 | − | 1.18378i | −0.737002 | − | 0.675891i | \(-0.763759\pi\) |
0.861422 | − | 0.507890i | \(-0.169574\pi\) | |||||||
\(888\) | −23.0461 | − | 16.7440i | −0.773378 | − | 0.561892i | ||||
\(889\) | 35.3656 | + | 20.1619i | 1.18612 | + | 0.676210i | ||||
\(890\) | −4.84272 | + | 4.59419i | −0.162328 | + | 0.153998i | ||||
\(891\) | 1.19676 | − | 11.3864i | 0.0400929 | − | 0.381459i | ||||
\(892\) | −11.8617 | − | 2.52128i | −0.397159 | − | 0.0844187i | ||||
\(893\) | 4.33009 | − | 7.49994i | 0.144901 | − | 0.250976i | ||||
\(894\) | −8.83053 | + | 9.80730i | −0.295337 | + | 0.328005i | ||||
\(895\) | −13.4479 | + | 12.7577i | −0.449514 | + | 0.426444i | ||||
\(896\) | 15.6529 | + | 21.2991i | 0.522927 | + | 0.711553i | ||||
\(897\) | −1.24112 | + | 3.81978i | −0.0414399 | + | 0.127539i | ||||
\(898\) | 12.0517 | + | 5.36577i | 0.402171 | + | 0.179058i | ||||
\(899\) | 17.5983 | − | 30.4811i | 0.586935 | − | 1.01660i | ||||
\(900\) | 4.49774 | − | 3.63995i | 0.149925 | − | 0.121332i | ||||
\(901\) | 16.6743 | + | 28.8807i | 0.555500 | + | 0.962154i | ||||
\(902\) | −11.5254 | + | 8.37372i | −0.383755 | + | 0.278814i | ||||
\(903\) | 6.65990 | − | 15.1807i | 0.221628 | − | 0.505181i | ||||
\(904\) | −14.3508 | + | 44.1673i | −0.477301 | + | 1.46898i | ||||
\(905\) | 4.05111 | − | 1.43389i | 0.134664 | − | 0.0476641i | ||||
\(906\) | 7.76894 | + | 1.65134i | 0.258106 | + | 0.0548620i | ||||
\(907\) | −11.4708 | + | 19.8679i | −0.380880 | + | 0.659704i | −0.991188 | − | 0.132460i | \(-0.957712\pi\) |
0.610308 | + | 0.792164i | \(0.291046\pi\) | |||||||
\(908\) | −1.51327 | + | 1.68066i | −0.0502196 | + | 0.0557745i | ||||
\(909\) | −1.38128 | − | 1.00356i | −0.0458140 | − | 0.0332858i | ||||
\(910\) | 5.75972 | + | 3.91373i | 0.190933 | + | 0.129739i | ||||
\(911\) | −26.1720 | + | 19.0151i | −0.867118 | + | 0.629998i | −0.929812 | − | 0.368035i | \(-0.880031\pi\) |
0.0626940 | + | 0.998033i | \(0.480031\pi\) | |||||||
\(912\) | −0.287943 | + | 2.73959i | −0.00953474 | + | 0.0907170i | ||||
\(913\) | −18.9267 | + | 8.42670i | −0.626382 | + | 0.278883i | ||||
\(914\) | −0.418764 | − | 3.98428i | −0.0138515 | − | 0.131788i | ||||
\(915\) | −43.5857 | + | 15.4271i | −1.44090 | + | 0.510004i | ||||
\(916\) | 2.14578 | + | 1.55900i | 0.0708986 | + | 0.0515108i | ||||
\(917\) | 19.7512 | + | 6.29866i | 0.652242 | + | 0.208000i | ||||
\(918\) | −13.4793 | −0.444883 | ||||||||
\(919\) | −3.45231 | + | 3.83418i | −0.113881 | + | 0.126478i | −0.797390 | − | 0.603465i | \(-0.793786\pi\) |
0.683509 | + | 0.729942i | \(0.260453\pi\) | |||||||
\(920\) | 9.71860 | + | 0.766343i | 0.320413 | + | 0.0252656i | ||||
\(921\) | −10.2911 | − | 11.4294i | −0.339104 | − | 0.376613i | ||||
\(922\) | −25.5323 | + | 5.42706i | −0.840861 | + | 0.178731i | ||||
\(923\) | 6.30460 | − | 4.58056i | 0.207518 | − | 0.150771i | ||||
\(924\) | 4.49654 | + | 9.95294i | 0.147925 | + | 0.327428i | ||||
\(925\) | 1.97516 | − | 37.4724i | 0.0649428 | − | 1.23208i | ||||
\(926\) | −9.92596 | − | 17.1923i | −0.326187 | − | 0.564973i | ||||
\(927\) | 1.22725 | + | 11.6765i | 0.0403083 | + | 0.383508i | ||||
\(928\) | 15.0645 | + | 16.7308i | 0.494517 | + | 0.549216i | ||||
\(929\) | 33.3749 | − | 7.09405i | 1.09499 | − | 0.232748i | 0.375206 | − | 0.926942i | \(-0.377572\pi\) |
0.719789 | + | 0.694193i | \(0.244239\pi\) | |||||||
\(930\) | 22.3446 | − | 2.93830i | 0.732709 | − | 0.0963507i | ||||
\(931\) | 1.49185 | + | 12.8445i | 0.0488934 | + | 0.420963i | ||||
\(932\) | −9.60681 | −0.314682 | ||||||||
\(933\) | 6.60159 | − | 7.33181i | 0.216126 | − | 0.240033i | ||||
\(934\) | −1.94027 | + | 0.863866i | −0.0634877 | + | 0.0282666i | ||||
\(935\) | −13.7927 | − | 1.08760i | −0.451071 | − | 0.0355684i | ||||
\(936\) | 2.96014 | + | 1.31794i | 0.0967552 | + | 0.0430782i | ||||
\(937\) | 38.5758 | + | 28.0270i | 1.26022 | + | 0.915602i | 0.998768 | − | 0.0496158i | \(-0.0157997\pi\) |
0.261449 | + | 0.965217i | \(0.415800\pi\) | |||||||
\(938\) | −1.44015 | + | 6.96188i | −0.0470225 | + | 0.227313i | ||||
\(939\) | 5.70931 | − | 4.14806i | 0.186316 | − | 0.135367i | ||||
\(940\) | −8.61427 | + | 12.5298i | −0.280967 | + | 0.408677i | ||||
\(941\) | 4.63796 | − | 2.06495i | 0.151193 | − | 0.0673156i | −0.329745 | − | 0.944070i | \(-0.606963\pi\) |
0.480938 | + | 0.876754i | \(0.340296\pi\) | |||||||
\(942\) | 8.25368 | + | 1.75437i | 0.268919 | + | 0.0571606i | ||||
\(943\) | 8.54046 | + | 14.7925i | 0.278116 | + | 0.481710i | ||||
\(944\) | 0.904307 | + | 2.78317i | 0.0294327 | + | 0.0905845i | ||||
\(945\) | −15.7539 | + | 29.3857i | −0.512474 | + | 0.955917i | ||||
\(946\) | −1.85483 | + | 5.70858i | −0.0603058 | + | 0.185602i | ||||
\(947\) | 7.25544 | − | 1.54219i | 0.235770 | − | 0.0501145i | −0.0885111 | − | 0.996075i | \(-0.528211\pi\) |
0.324281 | + | 0.945961i | \(0.394878\pi\) | |||||||
\(948\) | −1.34062 | − | 12.7552i | −0.0435414 | − | 0.414269i | ||||
\(949\) | −0.0979655 | + | 0.169681i | −0.00318009 | + | 0.00550808i | ||||
\(950\) | 6.10150 | − | 3.10656i | 0.197959 | − | 0.100790i | ||||
\(951\) | −14.7958 | −0.479785 | ||||||||
\(952\) | 18.8491 | − | 11.0200i | 0.610903 | − | 0.357162i | ||||
\(953\) | −12.9759 | + | 39.9357i | −0.420331 | + | 1.29365i | 0.487064 | + | 0.873366i | \(0.338068\pi\) |
−0.907395 | + | 0.420279i | \(0.861932\pi\) | |||||||
\(954\) | −5.97936 | + | 1.27095i | −0.193589 | + | 0.0411486i | ||||
\(955\) | 53.8269 | + | 4.24442i | 1.74180 | + | 0.137346i | ||||
\(956\) | 14.0632 | + | 2.98923i | 0.454837 | + | 0.0966786i | ||||
\(957\) | 5.46635 | + | 9.46799i | 0.176702 | + | 0.306057i | ||||
\(958\) | −7.09324 | − | 21.8307i | −0.229172 | − | 0.705319i | ||||
\(959\) | 27.9472 | + | 24.8891i | 0.902461 | + | 0.803710i | ||||
\(960\) | −1.41290 | + | 7.61695i | −0.0456013 | + | 0.245836i | ||||
\(961\) | 48.3666 | + | 21.5342i | 1.56021 | + | 0.694651i | ||||
\(962\) | 8.07000 | − | 3.59300i | 0.260187 | − | 0.115843i | ||||
\(963\) | 5.53536 | − | 2.46450i | 0.178375 | − | 0.0794175i | ||||
\(964\) | 0.475940 | + | 0.211902i | 0.0153290 | + | 0.00682490i | ||||
\(965\) | 38.6867 | + | 21.0127i | 1.24537 | + | 0.676423i | ||||
\(966\) | −4.70966 | + | 1.55871i | −0.151531 | + | 0.0501508i | ||||
\(967\) | −11.1143 | − | 34.2062i | −0.357411 | − | 1.10000i | −0.954598 | − | 0.297896i | \(-0.903715\pi\) |
0.597188 | − | 0.802102i | \(-0.296285\pi\) | |||||||
\(968\) | 9.36442 | + | 16.2197i | 0.300984 | + | 0.521319i | ||||
\(969\) | 8.65125 | + | 1.83888i | 0.277918 | + | 0.0590733i | ||||
\(970\) | 6.02089 | + | 5.14390i | 0.193319 | + | 0.165161i | ||||
\(971\) | 7.73769 | − | 1.64470i | 0.248314 | − | 0.0527808i | −0.0820729 | − | 0.996626i | \(-0.526154\pi\) |
0.330387 | + | 0.943846i | \(0.392821\pi\) | |||||||
\(972\) | −3.60740 | + | 11.1024i | −0.115707 | + | 0.356111i | ||||
\(973\) | −39.1765 | − | 22.3345i | −1.25594 | − | 0.716012i | ||||
\(974\) | 6.69592 | 0.214551 | ||||||||
\(975\) | −1.83956 | − | 11.6372i | −0.0589130 | − | 0.372688i | ||||
\(976\) | 7.00079 | − | 12.1257i | 0.224090 | − | 0.388135i | ||||
\(977\) | −1.69048 | − | 16.0838i | −0.0540832 | − | 0.514567i | −0.987707 | − | 0.156314i | \(-0.950039\pi\) |
0.933624 | − | 0.358254i | \(-0.116628\pi\) | |||||||
\(978\) | 13.3863 | − | 2.84534i | 0.428045 | − | 0.0909838i | ||||
\(979\) | 2.38654 | − | 7.34500i | 0.0762740 | − | 0.234747i | ||||
\(980\) | −0.838446 | − | 22.6882i | −0.0267832 | − | 0.724748i | ||||
\(981\) | −4.90059 | − | 15.0825i | −0.156464 | − | 0.481546i | ||||
\(982\) | 3.96754 | + | 6.87199i | 0.126609 | + | 0.219294i | ||||
\(983\) | 20.6485 | + | 4.38897i | 0.658585 | + | 0.139986i | 0.525068 | − | 0.851060i | \(-0.324040\pi\) |
0.133516 | + | 0.991047i | \(0.457373\pi\) | |||||||
\(984\) | −34.7490 | + | 15.4713i | −1.10776 | + | 0.493206i | ||||
\(985\) | 13.2039 | + | 3.91333i | 0.420711 | + | 0.124689i | ||||
\(986\) | 7.43310 | − | 5.40047i | 0.236718 | − | 0.171986i | ||||
\(987\) | 3.72868 | − | 18.0249i | 0.118685 | − | 0.573740i | ||||
\(988\) | −3.44200 | − | 2.50076i | −0.109505 | − | 0.0795598i | ||||
\(989\) | 6.57451 | + | 2.92716i | 0.209057 | + | 0.0930783i | ||||
\(990\) | 0.970886 | − | 2.34293i | 0.0308568 | − | 0.0744632i | ||||
\(991\) | −44.8772 | + | 19.9806i | −1.42557 | + | 0.634705i | −0.967191 | − | 0.254052i | \(-0.918237\pi\) |
−0.458379 | + | 0.888757i | \(0.651570\pi\) | |||||||
\(992\) | −35.9289 | + | 39.9030i | −1.14074 | + | 1.26692i | ||||
\(993\) | 47.8320 | 1.51790 | ||||||||
\(994\) | 9.17058 | + | 2.92450i | 0.290873 | + | 0.0927595i | ||||
\(995\) | −11.1009 | − | 6.02947i | −0.351923 | − | 0.191147i | ||||
\(996\) | −22.7455 | + | 4.83470i | −0.720718 | + | 0.153193i | ||||
\(997\) | −19.0567 | − | 21.1646i | −0.603531 | − | 0.670289i | 0.361516 | − | 0.932366i | \(-0.382259\pi\) |
−0.965047 | + | 0.262077i | \(0.915593\pi\) | |||||||
\(998\) | −1.79325 | − | 17.0616i | −0.0567643 | − | 0.540077i | ||||
\(999\) | 21.1483 | + | 36.6299i | 0.669101 | + | 1.15892i |
(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 | 175.2.q.a.11.8 | ✓ | 144 | |
5.2 | odd | 4 | 875.2.u.b.74.23 | 288 | |||
5.3 | odd | 4 | 875.2.u.b.74.14 | 288 | |||
5.4 | even | 2 | 875.2.q.a.676.11 | 144 | |||
7.2 | even | 3 | inner | 175.2.q.a.86.11 | yes | 144 | |
25.9 | even | 10 | 875.2.q.a.326.8 | 144 | |||
25.12 | odd | 20 | 875.2.u.b.424.23 | 288 | |||
25.13 | odd | 20 | 875.2.u.b.424.14 | 288 | |||
25.16 | even | 5 | inner | 175.2.q.a.116.11 | yes | 144 | |
35.2 | odd | 12 | 875.2.u.b.324.14 | 288 | |||
35.9 | even | 6 | 875.2.q.a.51.8 | 144 | |||
35.23 | odd | 12 | 875.2.u.b.324.23 | 288 | |||
175.9 | even | 30 | 875.2.q.a.576.11 | 144 | |||
175.16 | even | 15 | inner | 175.2.q.a.16.8 | yes | 144 | |
175.37 | odd | 60 | 875.2.u.b.674.14 | 288 | |||
175.163 | odd | 60 | 875.2.u.b.674.23 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.q.a.11.8 | ✓ | 144 | 1.1 | even | 1 | trivial | |
175.2.q.a.16.8 | yes | 144 | 175.16 | even | 15 | inner | |
175.2.q.a.86.11 | yes | 144 | 7.2 | even | 3 | inner | |
175.2.q.a.116.11 | yes | 144 | 25.16 | even | 5 | inner | |
875.2.q.a.51.8 | 144 | 35.9 | even | 6 | |||
875.2.q.a.326.8 | 144 | 25.9 | even | 10 | |||
875.2.q.a.576.11 | 144 | 175.9 | even | 30 | |||
875.2.q.a.676.11 | 144 | 5.4 | even | 2 | |||
875.2.u.b.74.14 | 288 | 5.3 | odd | 4 | |||
875.2.u.b.74.23 | 288 | 5.2 | odd | 4 | |||
875.2.u.b.324.14 | 288 | 35.2 | odd | 12 | |||
875.2.u.b.324.23 | 288 | 35.23 | odd | 12 | |||
875.2.u.b.424.14 | 288 | 25.13 | odd | 20 | |||
875.2.u.b.424.23 | 288 | 25.12 | odd | 20 | |||
875.2.u.b.674.14 | 288 | 175.37 | odd | 60 | |||
875.2.u.b.674.23 | 288 | 175.163 | odd | 60 |