Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 47.40 | ||
Character | \(\chi\) | \(=\) | 570.47 |
Dual form | 570.2.bi.a.473.40 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.819152 | + | 0.573576i | 0.579228 | + | 0.405580i | ||||
\(3\) | 1.71589 | − | 0.236090i | 0.990667 | − | 0.136306i | ||||
\(4\) | 0.342020 | + | 0.939693i | 0.171010 | + | 0.469846i | ||||
\(5\) | 0.250579 | + | 2.22198i | 0.112062 | + | 0.993701i | ||||
\(6\) | 1.54099 | + | 0.790798i | 0.629105 | + | 0.322842i | ||||
\(7\) | 0.373543 | − | 0.100091i | 0.141186 | − | 0.0378307i | −0.187534 | − | 0.982258i | \(-0.560049\pi\) |
0.328720 | + | 0.944427i | \(0.393383\pi\) | |||||||
\(8\) | −0.258819 | + | 0.965926i | −0.0915064 | + | 0.341506i | ||||
\(9\) | 2.88852 | − | 0.810206i | 0.962841 | − | 0.270069i | ||||
\(10\) | −1.06922 | + | 1.96387i | −0.338116 | + | 0.621030i | ||||
\(11\) | −3.61556 | + | 2.08745i | −1.09013 | + | 0.629389i | −0.933612 | − | 0.358286i | \(-0.883361\pi\) |
−0.156522 | + | 0.987675i | \(0.550028\pi\) | |||||||
\(12\) | 0.808719 | + | 1.53166i | 0.233457 | + | 0.442151i | ||||
\(13\) | 0.240609 | − | 0.0210505i | 0.0667328 | − | 0.00583836i | −0.0537404 | − | 0.998555i | \(-0.517114\pi\) |
0.120473 | + | 0.992717i | \(0.461559\pi\) | |||||||
\(14\) | 0.363398 | + | 0.132266i | 0.0971223 | + | 0.0353496i | ||||
\(15\) | 0.954552 | + | 3.75351i | 0.246464 | + | 0.969152i | ||||
\(16\) | −0.766044 | + | 0.642788i | −0.191511 | + | 0.160697i | ||||
\(17\) | −0.0718475 | − | 0.0503082i | −0.0174256 | − | 0.0122015i | 0.564831 | − | 0.825206i | \(-0.308941\pi\) |
−0.582257 | + | 0.813005i | \(0.697830\pi\) | |||||||
\(18\) | 2.83085 | + | 0.993107i | 0.667239 | + | 0.234078i | ||||
\(19\) | 3.07835 | − | 3.08606i | 0.706222 | − | 0.707991i | ||||
\(20\) | −2.00228 | + | 0.995430i | −0.447723 | + | 0.222585i | ||||
\(21\) | 0.617327 | − | 0.259934i | 0.134712 | − | 0.0567222i | ||||
\(22\) | −4.15901 | − | 0.363866i | −0.886703 | − | 0.0775765i | ||||
\(23\) | 1.28298 | + | 0.598265i | 0.267520 | + | 0.124747i | 0.551750 | − | 0.834009i | \(-0.313960\pi\) |
−0.284230 | + | 0.958756i | \(0.591738\pi\) | |||||||
\(24\) | −0.216059 | + | 1.71852i | −0.0441028 | + | 0.350792i | ||||
\(25\) | −4.87442 | + | 1.11356i | −0.974884 | + | 0.222713i | ||||
\(26\) | 0.209169 | + | 0.120764i | 0.0410214 | + | 0.0236837i | ||||
\(27\) | 4.76509 | − | 2.07217i | 0.917043 | − | 0.398789i | ||||
\(28\) | 0.221814 | + | 0.316783i | 0.0419189 | + | 0.0598663i | ||||
\(29\) | 0.577029 | − | 3.27249i | 0.107152 | − | 0.607687i | −0.883188 | − | 0.469020i | \(-0.844607\pi\) |
0.990339 | − | 0.138667i | \(-0.0442817\pi\) | |||||||
\(30\) | −1.37100 | + | 3.62220i | −0.250309 | + | 0.661321i | ||||
\(31\) | 2.14763 | − | 3.71980i | 0.385726 | − | 0.668096i | −0.606144 | − | 0.795355i | \(-0.707285\pi\) |
0.991870 | + | 0.127259i | \(0.0406178\pi\) | |||||||
\(32\) | −0.996195 | + | 0.0871557i | −0.176104 | + | 0.0154071i | ||||
\(33\) | −5.71107 | + | 4.43542i | −0.994169 | + | 0.772107i | ||||
\(34\) | −0.0299985 | − | 0.0824201i | −0.00514469 | − | 0.0141349i | ||||
\(35\) | 0.316002 | + | 0.804926i | 0.0534140 | + | 0.136057i | ||||
\(36\) | 1.74928 | + | 2.43722i | 0.291546 | + | 0.406203i | ||||
\(37\) | −7.64589 | − | 7.64589i | −1.25698 | − | 1.25698i | −0.952529 | − | 0.304448i | \(-0.901528\pi\) |
−0.304448 | − | 0.952529i | \(-0.598472\pi\) | |||||||
\(38\) | 4.29173 | − | 0.762285i | 0.696210 | − | 0.123659i | ||||
\(39\) | 0.407887 | − | 0.0929255i | 0.0653142 | − | 0.0148800i | ||||
\(40\) | −2.21113 | − | 0.333051i | −0.349610 | − | 0.0526600i | ||||
\(41\) | 3.48276 | + | 4.15059i | 0.543916 | + | 0.648214i | 0.966061 | − | 0.258315i | \(-0.0831671\pi\) |
−0.422145 | + | 0.906528i | \(0.638723\pi\) | |||||||
\(42\) | 0.654777 | + | 0.141159i | 0.101034 | + | 0.0217813i | ||||
\(43\) | 2.61924 | − | 1.22137i | 0.399430 | − | 0.186257i | −0.212515 | − | 0.977158i | \(-0.568165\pi\) |
0.611944 | + | 0.790901i | \(0.290388\pi\) | |||||||
\(44\) | −3.19815 | − | 2.68357i | −0.482140 | − | 0.404563i | ||||
\(45\) | 2.52407 | + | 6.21523i | 0.376266 | + | 0.926512i | ||||
\(46\) | 0.707808 | + | 1.22596i | 0.104361 | + | 0.180758i | ||||
\(47\) | −0.0805908 | − | 0.115096i | −0.0117554 | − | 0.0167884i | 0.813231 | − | 0.581941i | \(-0.197706\pi\) |
−0.824987 | + | 0.565152i | \(0.808817\pi\) | |||||||
\(48\) | −1.16269 | + | 1.28380i | −0.167820 | + | 0.185301i | ||||
\(49\) | −5.93266 | + | 3.42522i | −0.847523 | + | 0.489318i | ||||
\(50\) | −4.63161 | − | 1.88367i | −0.655008 | − | 0.266392i | ||||
\(51\) | −0.135159 | − | 0.0693606i | −0.0189261 | − | 0.00971243i | ||||
\(52\) | 0.102074 | + | 0.218898i | 0.0141551 | + | 0.0303557i | ||||
\(53\) | 6.98810 | + | 3.25860i | 0.959889 | + | 0.447603i | 0.838440 | − | 0.544994i | \(-0.183468\pi\) |
0.121449 | + | 0.992598i | \(0.461246\pi\) | |||||||
\(54\) | 5.09188 | + | 1.03572i | 0.692918 | + | 0.140944i | ||||
\(55\) | −5.54426 | − | 7.51065i | −0.747587 | − | 1.01274i | ||||
\(56\) | 0.386720i | 0.0516777i | ||||||||
\(57\) | 4.55350 | − | 6.02209i | 0.603126 | − | 0.797646i | ||||
\(58\) | 2.34970 | − | 2.34970i | 0.308531 | − | 0.308531i | ||||
\(59\) | −0.127725 | − | 0.724366i | −0.0166284 | − | 0.0943044i | 0.975364 | − | 0.220601i | \(-0.0708019\pi\) |
−0.991992 | + | 0.126297i | \(0.959691\pi\) | |||||||
\(60\) | −3.20067 | + | 2.18076i | −0.413205 | + | 0.281535i | ||||
\(61\) | 6.62009 | − | 2.40952i | 0.847616 | − | 0.308507i | 0.118548 | − | 0.992948i | \(-0.462176\pi\) |
0.729068 | + | 0.684441i | \(0.239954\pi\) | |||||||
\(62\) | 3.89283 | − | 1.81525i | 0.494389 | − | 0.230538i | ||||
\(63\) | 0.997895 | − | 0.591761i | 0.125723 | − | 0.0745549i | ||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | 0.107065 | + | 0.529353i | 0.0132798 | + | 0.0656582i | ||||
\(66\) | −7.22228 | + | 0.357547i | −0.889002 | + | 0.0440110i | ||||
\(67\) | 0.994844 | − | 0.696598i | 0.121540 | − | 0.0851029i | −0.511226 | − | 0.859446i | \(-0.670809\pi\) |
0.632766 | + | 0.774343i | \(0.281920\pi\) | |||||||
\(68\) | 0.0227009 | − | 0.0847210i | 0.00275289 | − | 0.0102739i | ||||
\(69\) | 2.34270 | + | 0.723655i | 0.282027 | + | 0.0871178i | ||||
\(70\) | −0.202833 | + | 0.840608i | −0.0242432 | + | 0.100472i | ||||
\(71\) | 1.77171 | − | 4.86774i | 0.210264 | − | 0.577695i | −0.789066 | − | 0.614309i | \(-0.789435\pi\) |
0.999329 | + | 0.0366141i | \(0.0116572\pi\) | |||||||
\(72\) | 0.0349938 | + | 2.99980i | 0.00412406 | + | 0.353529i | ||||
\(73\) | 0.355016 | − | 4.05785i | 0.0415514 | − | 0.474935i | −0.946702 | − | 0.322111i | \(-0.895608\pi\) |
0.988253 | − | 0.152824i | \(-0.0488368\pi\) | |||||||
\(74\) | −1.87764 | − | 10.6486i | −0.218272 | − | 1.23788i | ||||
\(75\) | −8.10104 | + | 3.06155i | −0.935428 | + | 0.353517i | ||||
\(76\) | 3.95281 | + | 1.83721i | 0.453418 | + | 0.210742i | ||||
\(77\) | −1.14164 | + | 1.14164i | −0.130101 | + | 0.130101i | ||||
\(78\) | 0.387421 | + | 0.157834i | 0.0438668 | + | 0.0178712i | ||||
\(79\) | −9.94584 | − | 11.8530i | −1.11899 | − | 1.33357i | −0.936624 | − | 0.350336i | \(-0.886067\pi\) |
−0.182370 | − | 0.983230i | \(-0.558377\pi\) | |||||||
\(80\) | −1.62022 | − | 1.54107i | −0.181146 | − | 0.172297i | ||||
\(81\) | 7.68713 | − | 4.68060i | 0.854126 | − | 0.520066i | ||||
\(82\) | 0.472229 | + | 5.39760i | 0.0521489 | + | 0.596065i | ||||
\(83\) | −8.49403 | + | 2.27597i | −0.932340 | + | 0.249820i | −0.692852 | − | 0.721079i | \(-0.743646\pi\) |
−0.239488 | + | 0.970899i | \(0.576980\pi\) | |||||||
\(84\) | 0.455396 | + | 0.491195i | 0.0496878 | + | 0.0535938i | ||||
\(85\) | 0.0937805 | − | 0.172250i | 0.0101719 | − | 0.0186832i | ||||
\(86\) | 2.84610 | + | 0.501844i | 0.306903 | + | 0.0541153i | ||||
\(87\) | 0.217513 | − | 5.75145i | 0.0233199 | − | 0.616621i | ||||
\(88\) | −1.08054 | − | 4.03264i | −0.115186 | − | 0.429881i | ||||
\(89\) | 1.19787 | + | 1.00513i | 0.126974 | + | 0.106544i | 0.704063 | − | 0.710137i | \(-0.251367\pi\) |
−0.577089 | + | 0.816681i | \(0.695812\pi\) | |||||||
\(90\) | −1.49732 | + | 6.53896i | −0.157831 | + | 0.689267i | ||||
\(91\) | 0.0877708 | − | 0.0319459i | 0.00920088 | − | 0.00334884i | ||||
\(92\) | −0.123379 | + | 1.41023i | −0.0128631 | + | 0.147026i | ||||
\(93\) | 2.80688 | − | 6.88979i | 0.291060 | − | 0.714438i | ||||
\(94\) | − | 0.140506i | − | 0.0144921i | ||||||
\(95\) | 7.62855 | + | 6.06674i | 0.782672 | + | 0.622434i | ||||
\(96\) | −1.68878 | + | 0.384741i | −0.172360 | + | 0.0392674i | ||||
\(97\) | −6.33112 | + | 9.04178i | −0.642828 | + | 0.918054i | −0.999871 | − | 0.0160340i | \(-0.994896\pi\) |
0.357043 | + | 0.934088i | \(0.383785\pi\) | |||||||
\(98\) | −6.82438 | − | 0.597056i | −0.689366 | − | 0.0603117i | ||||
\(99\) | −8.75238 | + | 8.95899i | −0.879647 | + | 0.900412i | ||||
\(100\) | −2.71356 | − | 4.19960i | −0.271356 | − | 0.419960i | ||||
\(101\) | −3.99064 | + | 4.75586i | −0.397084 | + | 0.473226i | −0.927128 | − | 0.374744i | \(-0.877731\pi\) |
0.530045 | + | 0.847970i | \(0.322175\pi\) | |||||||
\(102\) | −0.0709325 | − | 0.134341i | −0.00702336 | − | 0.0133018i | ||||
\(103\) | 15.3641 | + | 4.11679i | 1.51387 | + | 0.405640i | 0.917718 | − | 0.397234i | \(-0.130030\pi\) |
0.596150 | + | 0.802873i | \(0.296696\pi\) | |||||||
\(104\) | −0.0419408 | + | 0.237858i | −0.00411264 | + | 0.0233239i | ||||
\(105\) | 0.732258 | + | 1.30656i | 0.0714610 | + | 0.127507i | ||||
\(106\) | 3.85525 | + | 6.67750i | 0.374455 | + | 0.648576i | ||||
\(107\) | −0.229432 | − | 0.856251i | −0.0221800 | − | 0.0827769i | 0.953949 | − | 0.299970i | \(-0.0969766\pi\) |
−0.976129 | + | 0.217193i | \(0.930310\pi\) | |||||||
\(108\) | 3.57696 | + | 3.76900i | 0.344193 | + | 0.362672i | ||||
\(109\) | −6.16314 | + | 16.9331i | −0.590322 | + | 1.62190i | 0.179587 | + | 0.983742i | \(0.442524\pi\) |
−0.769909 | + | 0.638154i | \(0.779698\pi\) | |||||||
\(110\) | −0.233655 | − | 9.33242i | −0.0222781 | − | 0.889812i | ||||
\(111\) | −14.9246 | − | 11.3144i | −1.41658 | − | 1.07391i | ||||
\(112\) | −0.221814 | + | 0.316783i | −0.0209594 | + | 0.0299332i | ||||
\(113\) | −11.3530 | − | 11.3530i | −1.06800 | − | 1.06800i | −0.997513 | − | 0.0704836i | \(-0.977546\pi\) |
−0.0704836 | − | 0.997513i | \(-0.522454\pi\) | |||||||
\(114\) | 7.18414 | − | 2.32123i | 0.672857 | − | 0.217403i | ||||
\(115\) | −1.00785 | + | 3.00068i | −0.0939821 | + | 0.279815i | ||||
\(116\) | 3.27249 | − | 0.577029i | 0.303843 | − | 0.0535758i | ||||
\(117\) | 0.677948 | − | 0.255747i | 0.0626763 | − | 0.0236439i | ||||
\(118\) | 0.310853 | − | 0.666626i | 0.0286163 | − | 0.0613679i | ||||
\(119\) | −0.0318735 | − | 0.0116010i | −0.00292184 | − | 0.00106346i | ||||
\(120\) | −3.87267 | − | 0.0494532i | −0.353525 | − | 0.00451444i | ||||
\(121\) | 3.21487 | − | 5.56832i | 0.292261 | − | 0.506211i | ||||
\(122\) | 6.80490 | + | 1.82337i | 0.616087 | + | 0.165080i | ||||
\(123\) | 6.95593 | + | 6.29970i | 0.627195 | + | 0.568025i | ||||
\(124\) | 4.23000 | + | 0.745864i | 0.379865 | + | 0.0669805i | ||||
\(125\) | −3.69575 | − | 10.5518i | −0.330558 | − | 0.943786i | ||||
\(126\) | 1.15685 | + | 0.0876265i | 0.103060 | + | 0.00780639i | ||||
\(127\) | −1.80890 | − | 20.6759i | −0.160514 | − | 1.83469i | −0.468698 | − | 0.883358i | \(-0.655277\pi\) |
0.308184 | − | 0.951327i | \(-0.400279\pi\) | |||||||
\(128\) | −0.422618 | − | 0.906308i | −0.0373545 | − | 0.0801070i | ||||
\(129\) | 4.20595 | − | 2.71410i | 0.370314 | − | 0.238964i | ||||
\(130\) | −0.215922 | + | 0.495031i | −0.0189376 | + | 0.0434171i | ||||
\(131\) | −16.4004 | + | 2.89183i | −1.43291 | + | 0.252661i | −0.835595 | − | 0.549346i | \(-0.814877\pi\) |
−0.597315 | + | 0.802007i | \(0.703766\pi\) | |||||||
\(132\) | −6.12123 | − | 3.84965i | −0.532785 | − | 0.335069i | ||||
\(133\) | 0.841011 | − | 1.46089i | 0.0729249 | − | 0.126675i | ||||
\(134\) | 1.21448 | 0.104915 | ||||||||
\(135\) | 5.79836 | + | 10.0687i | 0.499043 | + | 0.866577i | ||||
\(136\) | 0.0671895 | − | 0.0563787i | 0.00576145 | − | 0.00483443i | ||||
\(137\) | −4.56372 | + | 9.78694i | −0.389905 | + | 0.836155i | 0.609165 | + | 0.793044i | \(0.291505\pi\) |
−0.999070 | + | 0.0431111i | \(0.986273\pi\) | |||||||
\(138\) | 1.50395 | + | 1.93650i | 0.128025 | + | 0.164846i | ||||
\(139\) | 3.76351 | − | 4.48518i | 0.319217 | − | 0.380428i | −0.582445 | − | 0.812870i | \(-0.697904\pi\) |
0.901661 | + | 0.432443i | \(0.142348\pi\) | |||||||
\(140\) | −0.648304 | + | 0.572246i | −0.0547917 | + | 0.0483636i | ||||
\(141\) | −0.165457 | − | 0.178464i | −0.0139340 | − | 0.0150294i | ||||
\(142\) | 4.24332 | − | 2.97121i | 0.356092 | − | 0.249338i | ||||
\(143\) | −0.825994 | + | 0.578367i | −0.0690731 | + | 0.0483655i | ||||
\(144\) | −1.69195 | + | 2.47736i | −0.140996 | + | 0.206447i | ||||
\(145\) | 7.41602 | + | 0.462131i | 0.615867 | + | 0.0383779i | ||||
\(146\) | 2.61830 | − | 3.12036i | 0.216692 | − | 0.258243i | ||||
\(147\) | −9.37111 | + | 7.27793i | −0.772916 | + | 0.600274i | ||||
\(148\) | 4.56974 | − | 9.79984i | 0.375630 | − | 0.805542i | ||||
\(149\) | −7.20538 | + | 6.04603i | −0.590287 | + | 0.495310i | −0.888307 | − | 0.459250i | \(-0.848118\pi\) |
0.298020 | + | 0.954560i | \(0.403674\pi\) | |||||||
\(150\) | −8.39202 | − | 2.13869i | −0.685206 | − | 0.174624i | ||||
\(151\) | 6.02542 | 0.490341 | 0.245171 | − | 0.969480i | \(-0.421156\pi\) | ||||
0.245171 | + | 0.969480i | \(0.421156\pi\) | |||||||
\(152\) | 2.18417 | + | 3.77219i | 0.177160 | + | 0.305965i | ||||
\(153\) | −0.248293 | − | 0.0871051i | −0.0200733 | − | 0.00704203i | ||||
\(154\) | −1.58999 | + | 0.280358i | −0.128125 | + | 0.0225919i | ||||
\(155\) | 8.80349 | + | 3.83989i | 0.707113 | + | 0.308428i | ||||
\(156\) | 0.226827 | + | 0.351506i | 0.0181607 | + | 0.0281430i | ||||
\(157\) | −6.32439 | − | 13.5627i | −0.504741 | − | 1.08242i | −0.979340 | − | 0.202219i | \(-0.935185\pi\) |
0.474599 | − | 0.880202i | \(-0.342593\pi\) | |||||||
\(158\) | −1.34856 | − | 15.4141i | −0.107286 | − | 1.22628i | ||||
\(159\) | 12.7601 | + | 3.94157i | 1.01194 | + | 0.312587i | ||||
\(160\) | −0.443284 | − | 2.19169i | −0.0350447 | − | 0.173268i | ||||
\(161\) | 0.539130 | + | 0.0950632i | 0.0424894 | + | 0.00749203i | ||||
\(162\) | 8.98161 | + | 0.575039i | 0.705662 | + | 0.0451793i | ||||
\(163\) | 12.3460 | + | 3.30811i | 0.967017 | + | 0.259111i | 0.707568 | − | 0.706645i | \(-0.249792\pi\) |
0.259449 | + | 0.965757i | \(0.416459\pi\) | |||||||
\(164\) | −2.70911 | + | 4.69231i | −0.211546 | + | 0.366408i | ||||
\(165\) | −11.2865 | − | 11.5785i | −0.878652 | − | 0.901383i | ||||
\(166\) | −8.26334 | − | 3.00761i | −0.641360 | − | 0.233436i | ||||
\(167\) | 8.86975 | − | 19.0212i | 0.686362 | − | 1.47191i | −0.185747 | − | 0.982598i | \(-0.559471\pi\) |
0.872109 | − | 0.489311i | \(-0.162752\pi\) | |||||||
\(168\) | 0.0913007 | + | 0.663568i | 0.00704400 | + | 0.0511954i | ||||
\(169\) | −12.7451 | + | 2.24730i | −0.980389 | + | 0.172869i | ||||
\(170\) | 0.175619 | − | 0.0873088i | 0.0134694 | − | 0.00669628i | ||||
\(171\) | 6.39154 | − | 11.4083i | 0.488773 | − | 0.872411i | ||||
\(172\) | 2.04354 | + | 2.04354i | 0.155819 | + | 0.155819i | ||||
\(173\) | 0.0358823 | − | 0.0512453i | 0.00272808 | − | 0.00389611i | −0.817786 | − | 0.575523i | \(-0.804799\pi\) |
0.820514 | + | 0.571627i | \(0.193687\pi\) | |||||||
\(174\) | 3.47707 | − | 4.58655i | 0.263596 | − | 0.347706i | ||||
\(175\) | −1.70935 | + | 0.903848i | −0.129215 | + | 0.0683245i | ||||
\(176\) | 1.42790 | − | 3.92312i | 0.107632 | − | 0.295716i | ||||
\(177\) | −0.390177 | − | 1.21277i | −0.0293275 | − | 0.0911577i | ||||
\(178\) | 0.404718 | + | 1.51043i | 0.0303349 | + | 0.113211i | ||||
\(179\) | 10.4937 | + | 18.1757i | 0.784339 | + | 1.35852i | 0.929393 | + | 0.369092i | \(0.120331\pi\) |
−0.145054 | + | 0.989424i | \(0.546336\pi\) | |||||||
\(180\) | −4.97712 | + | 4.49758i | −0.370973 | + | 0.335230i | ||||
\(181\) | −0.202014 | + | 1.14568i | −0.0150155 | + | 0.0851574i | −0.991395 | − | 0.130907i | \(-0.958211\pi\) |
0.976379 | + | 0.216065i | \(0.0693221\pi\) | |||||||
\(182\) | 0.0902210 | + | 0.0241747i | 0.00668763 | + | 0.00179194i | ||||
\(183\) | 10.7905 | − | 5.69739i | 0.797653 | − | 0.421163i | ||||
\(184\) | −0.909940 | + | 1.08442i | −0.0670817 | + | 0.0799448i | ||||
\(185\) | 15.0731 | − | 18.9049i | 1.10820 | − | 1.38992i | ||||
\(186\) | 6.25108 | − | 4.03382i | 0.458351 | − | 0.295774i | ||||
\(187\) | 0.364785 | + | 0.0319146i | 0.0266757 | + | 0.00233382i | ||||
\(188\) | 0.0805908 | − | 0.115096i | 0.00587769 | − | 0.00839421i | ||||
\(189\) | 1.57256 | − | 1.25099i | 0.114387 | − | 0.0909959i | ||||
\(190\) | 2.76920 | + | 9.34513i | 0.200899 | + | 0.677967i | ||||
\(191\) | 6.91092i | 0.500056i | 0.968239 | + | 0.250028i | \(0.0804399\pi\) | ||||
−0.968239 | + | 0.250028i | \(0.919560\pi\) | |||||||
\(192\) | −1.60404 | − | 0.653483i | −0.115762 | − | 0.0471611i | ||||
\(193\) | 0.577128 | − | 6.59660i | 0.0415426 | − | 0.474834i | −0.946719 | − | 0.322061i | \(-0.895624\pi\) |
0.988261 | − | 0.152772i | \(-0.0488201\pi\) | |||||||
\(194\) | −10.3723 | + | 3.77521i | −0.744688 | + | 0.271044i | ||||
\(195\) | 0.308687 | + | 0.883033i | 0.0221055 | + | 0.0632353i | ||||
\(196\) | −5.24775 | − | 4.40338i | −0.374839 | − | 0.314527i | ||||
\(197\) | −4.42598 | − | 16.5180i | −0.315338 | − | 1.17686i | −0.923674 | − | 0.383179i | \(-0.874829\pi\) |
0.608336 | − | 0.793680i | \(-0.291837\pi\) | |||||||
\(198\) | −12.3082 | + | 2.31862i | −0.874705 | + | 0.164777i | ||||
\(199\) | −2.82359 | − | 0.497875i | −0.200159 | − | 0.0352934i | 0.0726698 | − | 0.997356i | \(-0.476848\pi\) |
−0.272829 | + | 0.962063i | \(0.587959\pi\) | |||||||
\(200\) | 0.185972 | − | 4.99654i | 0.0131502 | − | 0.353309i | ||||
\(201\) | 1.54258 | − | 1.43015i | 0.108805 | − | 0.100875i | ||||
\(202\) | −5.99679 | + | 1.60684i | −0.421933 | + | 0.113057i | ||||
\(203\) | −0.112001 | − | 1.28017i | −0.00786091 | − | 0.0898506i | ||||
\(204\) | 0.0189504 | − | 0.150731i | 0.00132679 | − | 0.0105533i | ||||
\(205\) | −8.34984 | + | 8.77869i | −0.583178 | + | 0.613130i | ||||
\(206\) | 10.2242 | + | 12.1848i | 0.712355 | + | 0.848952i | ||||
\(207\) | 4.19064 | + | 0.688622i | 0.291270 | + | 0.0478625i | ||||
\(208\) | −0.170786 | + | 0.170786i | −0.0118419 | + | 0.0118419i | ||||
\(209\) | −4.68798 | + | 17.5837i | −0.324274 | + | 1.21629i | ||||
\(210\) | −0.149580 | + | 1.49027i | −0.0103220 | + | 0.102839i | ||||
\(211\) | 3.98086 | + | 22.5766i | 0.274054 | + | 1.55423i | 0.741952 | + | 0.670453i | \(0.233900\pi\) |
−0.467899 | + | 0.883782i | \(0.654989\pi\) | |||||||
\(212\) | −0.672015 | + | 7.68117i | −0.0461542 | + | 0.527545i | ||||
\(213\) | 1.89083 | − | 8.77077i | 0.129558 | − | 0.600963i | ||||
\(214\) | 0.303186 | − | 0.832996i | 0.0207253 | − | 0.0569424i | ||||
\(215\) | 3.37019 | + | 5.51385i | 0.229845 | + | 0.376041i | ||||
\(216\) | 0.768266 | + | 5.13904i | 0.0522739 | + | 0.349668i | ||||
\(217\) | 0.429915 | − | 1.60446i | 0.0291845 | − | 0.108918i | ||||
\(218\) | −14.7610 | + | 10.3357i | −0.999739 | + | 0.700025i | ||||
\(219\) | −0.348850 | − | 7.04661i | −0.0235731 | − | 0.476166i | ||||
\(220\) | 5.16146 | − | 7.77869i | 0.347985 | − | 0.524439i | ||||
\(221\) | −0.0183461 | − | 0.0105922i | −0.00123410 | − | 0.000712505i | ||||
\(222\) | −5.73586 | − | 17.8286i | −0.384966 | − | 1.19658i | ||||
\(223\) | −6.04282 | + | 2.81781i | −0.404657 | + | 0.188695i | −0.614281 | − | 0.789087i | \(-0.710554\pi\) |
0.209624 | + | 0.977782i | \(0.432776\pi\) | |||||||
\(224\) | −0.363398 | + | 0.132266i | −0.0242806 | + | 0.00883741i | ||||
\(225\) | −13.1777 | + | 7.16584i | −0.878511 | + | 0.477723i | ||||
\(226\) | −2.78801 | − | 15.8116i | −0.185456 | − | 1.05177i | ||||
\(227\) | 2.98346 | − | 2.98346i | 0.198019 | − | 0.198019i | −0.601131 | − | 0.799150i | \(-0.705283\pi\) |
0.799150 | + | 0.601131i | \(0.205283\pi\) | |||||||
\(228\) | 7.21631 | + | 2.21922i | 0.477912 | + | 0.146971i | ||||
\(229\) | 21.4179i | 1.41534i | 0.706545 | + | 0.707669i | \(0.250253\pi\) | ||||
−0.706545 | + | 0.707669i | \(0.749747\pi\) | |||||||
\(230\) | −2.54670 | + | 1.87994i | −0.167924 | + | 0.123959i | ||||
\(231\) | −1.68939 | + | 2.22844i | −0.111154 | + | 0.146621i | ||||
\(232\) | 3.01164 | + | 1.40435i | 0.197724 | + | 0.0922002i | ||||
\(233\) | 4.30466 | + | 9.23136i | 0.282007 | + | 0.604767i | 0.995380 | − | 0.0960186i | \(-0.0306108\pi\) |
−0.713372 | + | 0.700785i | \(0.752833\pi\) | |||||||
\(234\) | 0.702033 | + | 0.179359i | 0.0458934 | + | 0.0117251i | ||||
\(235\) | 0.235546 | − | 0.207912i | 0.0153653 | − | 0.0135627i | ||||
\(236\) | 0.636997 | − | 0.367770i | 0.0414649 | − | 0.0239398i | ||||
\(237\) | −19.8643 | − | 17.9903i | −1.29032 | − | 1.16859i | ||||
\(238\) | −0.0194552 | − | 0.0277849i | −0.00126109 | − | 0.00180103i | ||||
\(239\) | 8.45857 | + | 14.6507i | 0.547139 | + | 0.947673i | 0.998469 | + | 0.0553157i | \(0.0176165\pi\) |
−0.451330 | + | 0.892357i | \(0.649050\pi\) | |||||||
\(240\) | −3.14394 | − | 2.26178i | −0.202940 | − | 0.145997i | ||||
\(241\) | 8.21697 | + | 6.89486i | 0.529302 | + | 0.444137i | 0.867860 | − | 0.496808i | \(-0.165495\pi\) |
−0.338558 | + | 0.940945i | \(0.609939\pi\) | |||||||
\(242\) | 5.82732 | − | 2.71733i | 0.374595 | − | 0.174676i | ||||
\(243\) | 12.0852 | − | 9.84622i | 0.775266 | − | 0.631635i | ||||
\(244\) | 4.52841 | + | 5.39675i | 0.289902 | + | 0.345491i | ||||
\(245\) | −9.09739 | − | 12.3240i | −0.581211 | − | 0.787351i | ||||
\(246\) | 2.08461 | + | 9.15017i | 0.132910 | + | 0.583393i | ||||
\(247\) | 0.675714 | − | 0.807334i | 0.0429946 | − | 0.0513694i | ||||
\(248\) | 3.03721 | + | 3.03721i | 0.192863 | + | 0.192863i | ||||
\(249\) | −14.0374 | + | 5.91065i | −0.889587 | + | 0.374572i | ||||
\(250\) | 3.02491 | − | 10.7634i | 0.191312 | − | 0.680735i | ||||
\(251\) | 10.1608 | + | 27.9165i | 0.641343 | + | 1.76207i | 0.647467 | + | 0.762094i | \(0.275828\pi\) |
−0.00612400 | + | 0.999981i | \(0.501949\pi\) | |||||||
\(252\) | 0.897374 | + | 0.735320i | 0.0565292 | + | 0.0463208i | ||||
\(253\) | −5.88755 | + | 0.515094i | −0.370147 | + | 0.0323837i | ||||
\(254\) | 10.3774 | − | 17.9742i | 0.651137 | − | 1.12780i | ||||
\(255\) | 0.120250 | − | 0.317702i | 0.00753035 | − | 0.0198953i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −11.4442 | − | 16.3440i | −0.713869 | − | 1.01951i | −0.998152 | − | 0.0607701i | \(-0.980644\pi\) |
0.284283 | − | 0.958740i | \(-0.408245\pi\) | |||||||
\(258\) | 5.00206 | + | 0.189172i | 0.311415 | + | 0.0117773i | ||||
\(259\) | −3.62135 | − | 2.09079i | −0.225020 | − | 0.129915i | ||||
\(260\) | −0.460811 | + | 0.281658i | −0.0285783 | + | 0.0174677i | ||||
\(261\) | −0.984632 | − | 9.92019i | −0.0609472 | − | 0.614044i | ||||
\(262\) | −15.0931 | − | 7.03803i | −0.932456 | − | 0.434811i | ||||
\(263\) | 14.5696 | + | 1.27468i | 0.898403 | + | 0.0786001i | 0.526994 | − | 0.849869i | \(-0.323319\pi\) |
0.371409 | + | 0.928469i | \(0.378875\pi\) | |||||||
\(264\) | −2.80615 | − | 6.66444i | −0.172707 | − | 0.410168i | ||||
\(265\) | −5.48949 | + | 16.3440i | −0.337217 | + | 1.00400i | ||||
\(266\) | 1.52685 | − | 0.714308i | 0.0936171 | − | 0.0437970i | ||||
\(267\) | 2.29271 | + | 1.44189i | 0.140312 | + | 0.0882421i | ||||
\(268\) | 0.994844 | + | 0.696598i | 0.0607698 | + | 0.0425515i | ||||
\(269\) | −16.9061 | + | 14.1859i | −1.03078 | + | 0.864931i | −0.990944 | − | 0.134275i | \(-0.957129\pi\) |
−0.0398406 | + | 0.999206i | \(0.512685\pi\) | |||||||
\(270\) | −1.02544 | + | 11.5736i | −0.0624062 | + | 0.704348i | ||||
\(271\) | −14.5512 | − | 5.29622i | −0.883925 | − | 0.321722i | −0.140132 | − | 0.990133i | \(-0.544753\pi\) |
−0.743793 | + | 0.668410i | \(0.766975\pi\) | |||||||
\(272\) | 0.0873759 | − | 0.00764440i | 0.00529794 | − | 0.000463510i | ||||
\(273\) | 0.143062 | − | 0.0755373i | 0.00865853 | − | 0.00457173i | ||||
\(274\) | −9.35194 | + | 5.39935i | −0.564971 | + | 0.326186i | ||||
\(275\) | 15.2993 | − | 14.2013i | 0.922581 | − | 0.856368i | ||||
\(276\) | 0.121236 | + | 2.44892i | 0.00729756 | + | 0.147408i | ||||
\(277\) | −6.80449 | + | 25.3947i | −0.408842 | + | 1.52582i | 0.388016 | + | 0.921653i | \(0.373161\pi\) |
−0.796858 | + | 0.604167i | \(0.793506\pi\) | |||||||
\(278\) | 5.65548 | − | 1.51538i | 0.339193 | − | 0.0908865i | ||||
\(279\) | 3.18967 | − | 12.4848i | 0.190961 | − | 0.747443i | ||||
\(280\) | −0.859287 | + | 0.0969040i | −0.0513522 | + | 0.00579112i | ||||
\(281\) | 8.94351 | + | 24.5721i | 0.533525 | + | 1.46585i | 0.854848 | + | 0.518878i | \(0.173650\pi\) |
−0.321323 | + | 0.946970i | \(0.604128\pi\) | |||||||
\(282\) | −0.0331720 | − | 0.241092i | −0.00197536 | − | 0.0143568i | ||||
\(283\) | 17.2246 | + | 12.0608i | 1.02390 | + | 0.716939i | 0.959708 | − | 0.280999i | \(-0.0906657\pi\) |
0.0641871 | + | 0.997938i | \(0.479555\pi\) | |||||||
\(284\) | 5.18014 | 0.307385 | ||||||||
\(285\) | 14.5220 | + | 8.60880i | 0.860209 | + | 0.509941i | ||||
\(286\) | −1.00835 | −0.0596251 | ||||||||
\(287\) | 1.71640 | + | 1.20183i | 0.101316 | + | 0.0709421i | ||||
\(288\) | −2.80692 | + | 1.05887i | −0.165399 | + | 0.0623947i | ||||
\(289\) | −5.81171 | − | 15.9675i | −0.341865 | − | 0.939267i | ||||
\(290\) | 5.80978 | + | 4.63221i | 0.341162 | + | 0.272013i | ||||
\(291\) | −8.72881 | + | 17.0094i | −0.511692 | + | 0.997107i | ||||
\(292\) | 3.93455 | − | 1.05426i | 0.230252 | − | 0.0616959i | ||||
\(293\) | −1.47887 | + | 5.51922i | −0.0863965 | + | 0.322436i | −0.995575 | − | 0.0939705i | \(-0.970044\pi\) |
0.909178 | + | 0.416407i | \(0.136711\pi\) | |||||||
\(294\) | −11.8508 | + | 0.586687i | −0.691153 | + | 0.0342163i | ||||
\(295\) | 1.57752 | − | 0.465314i | 0.0918470 | − | 0.0270916i | ||||
\(296\) | 9.36427 | − | 5.40646i | 0.544287 | − | 0.314244i | ||||
\(297\) | −12.9030 | + | 17.4389i | −0.748705 | + | 1.01191i | ||||
\(298\) | −9.37016 | + | 0.819783i | −0.542799 | + | 0.0474887i | ||||
\(299\) | 0.321290 | + | 0.116940i | 0.0185807 | + | 0.00676283i | ||||
\(300\) | −5.64764 | − | 6.56538i | −0.326066 | − | 0.379052i | ||||
\(301\) | 0.856150 | − | 0.718395i | 0.0493477 | − | 0.0414076i | ||||
\(302\) | 4.93573 | + | 3.45604i | 0.284019 | + | 0.198873i | ||||
\(303\) | −5.72467 | + | 9.10266i | −0.328874 | + | 0.522934i | ||||
\(304\) | −0.374470 | + | 4.34278i | −0.0214773 | + | 0.249076i | ||||
\(305\) | 7.01276 | + | 14.1060i | 0.401549 | + | 0.807705i | ||||
\(306\) | −0.153429 | − | 0.213767i | −0.00877092 | − | 0.0122203i | ||||
\(307\) | 6.48150 | + | 0.567058i | 0.369919 | + | 0.0323637i | 0.270600 | − | 0.962692i | \(-0.412778\pi\) |
0.0993191 | + | 0.995056i | \(0.468334\pi\) | |||||||
\(308\) | −1.46325 | − | 0.682324i | −0.0833764 | − | 0.0388790i | ||||
\(309\) | 27.3349 | + | 3.43664i | 1.55503 | + | 0.195504i | ||||
\(310\) | 5.00892 | + | 8.19493i | 0.284488 | + | 0.465441i | ||||
\(311\) | −6.65510 | − | 3.84232i | −0.377376 | − | 0.217878i | 0.299300 | − | 0.954159i | \(-0.403247\pi\) |
−0.676676 | + | 0.736281i | \(0.736580\pi\) | |||||||
\(312\) | −0.0158098 | + | 0.418039i | −0.000895051 | + | 0.0236668i | ||||
\(313\) | 11.0754 | + | 15.8173i | 0.626017 | + | 0.894045i | 0.999435 | − | 0.0336180i | \(-0.0107030\pi\) |
−0.373417 | + | 0.927663i | \(0.621814\pi\) | |||||||
\(314\) | 2.59861 | − | 14.7374i | 0.146648 | − | 0.831682i | ||||
\(315\) | 1.56493 | + | 2.06902i | 0.0881741 | + | 0.116576i | ||||
\(316\) | 7.73649 | − | 13.4000i | 0.435212 | − | 0.753809i | ||||
\(317\) | −27.5047 | + | 2.40635i | −1.54482 | + | 0.135154i | −0.827449 | − | 0.561542i | \(-0.810208\pi\) |
−0.717367 | + | 0.696695i | \(0.754653\pi\) | |||||||
\(318\) | 8.19166 | + | 10.5476i | 0.459366 | + | 0.591482i | ||||
\(319\) | 4.74487 | + | 13.0364i | 0.265662 | + | 0.729900i | ||||
\(320\) | 0.893984 | − | 2.04958i | 0.0499752 | − | 0.114575i | ||||
\(321\) | −0.595830 | − | 1.41506i | −0.0332560 | − | 0.0789810i | ||||
\(322\) | 0.387104 | + | 0.387104i | 0.0215724 | + | 0.0215724i | ||||
\(323\) | −0.376426 | + | 0.0668598i | −0.0209449 | + | 0.00372018i | ||||
\(324\) | 7.02748 | + | 5.62268i | 0.390415 | + | 0.312371i | ||||
\(325\) | −1.14939 | + | 0.370542i | −0.0637565 | + | 0.0205540i | ||||
\(326\) | 8.21583 | + | 9.79125i | 0.455033 | + | 0.542287i | ||||
\(327\) | −6.57751 | + | 30.5103i | −0.363737 | + | 1.68722i | ||||
\(328\) | −4.91057 | + | 2.28984i | −0.271141 | + | 0.126435i | ||||
\(329\) | −0.0416241 | − | 0.0349268i | −0.00229481 | − | 0.00192558i | ||||
\(330\) | −2.60421 | − | 15.9582i | −0.143357 | − | 0.878470i | ||||
\(331\) | 8.94943 | + | 15.5009i | 0.491905 | + | 0.852005i | 0.999957 | − | 0.00932178i | \(-0.00296726\pi\) |
−0.508051 | + | 0.861327i | \(0.669634\pi\) | |||||||
\(332\) | −5.04384 | − | 7.20335i | −0.276817 | − | 0.395335i | ||||
\(333\) | −28.2801 | − | 15.8906i | −1.54974 | − | 0.870799i | ||||
\(334\) | 18.1758 | − | 10.4938i | 0.994536 | − | 0.574196i | ||||
\(335\) | 1.79712 | + | 2.03598i | 0.0981869 | + | 0.111237i | ||||
\(336\) | −0.305818 | + | 0.595931i | −0.0166837 | + | 0.0325107i | ||||
\(337\) | 3.29350 | + | 7.06294i | 0.179409 | + | 0.384743i | 0.975361 | − | 0.220617i | \(-0.0708070\pi\) |
−0.795952 | + | 0.605360i | \(0.793029\pi\) | |||||||
\(338\) | −11.7291 | − | 5.46938i | −0.637981 | − | 0.297495i | ||||
\(339\) | −22.1607 | − | 16.8001i | −1.20360 | − | 0.912454i | ||||
\(340\) | 0.193937 | + | 0.0292118i | 0.0105177 | + | 0.00158423i | ||||
\(341\) | 17.9322i | 0.971086i | ||||||||
\(342\) | 11.7791 | − | 5.67906i | 0.636943 | − | 0.307088i | ||||
\(343\) | −3.78744 | + | 3.78744i | −0.204503 | + | 0.204503i | ||||
\(344\) | 0.501844 | + | 2.84610i | 0.0270576 | + | 0.153451i | ||||
\(345\) | −1.02092 | + | 5.38676i | −0.0549644 | + | 0.290014i | ||||
\(346\) | 0.0587862 | − | 0.0213964i | 0.00316037 | − | 0.00115028i | ||||
\(347\) | 5.57952 | − | 2.60177i | 0.299525 | − | 0.139671i | −0.267046 | − | 0.963684i | \(-0.586048\pi\) |
0.566571 | + | 0.824013i | \(0.308270\pi\) | |||||||
\(348\) | 5.47899 | − | 1.76272i | 0.293705 | − | 0.0944916i | ||||
\(349\) | 7.03299 | + | 4.06050i | 0.376467 | + | 0.217353i | 0.676280 | − | 0.736645i | \(-0.263591\pi\) |
−0.299813 | + | 0.953998i | \(0.596924\pi\) | |||||||
\(350\) | −1.91864 | − | 0.240054i | −0.102556 | − | 0.0128314i | ||||
\(351\) | 1.10290 | − | 0.598890i | 0.0588685 | − | 0.0319664i | ||||
\(352\) | 3.41987 | − | 2.39462i | 0.182280 | − | 0.127634i | ||||
\(353\) | −1.35752 | + | 5.06634i | −0.0722535 | + | 0.269654i | −0.992597 | − | 0.121458i | \(-0.961243\pi\) |
0.920343 | + | 0.391112i | \(0.127910\pi\) | |||||||
\(354\) | 0.376004 | − | 1.21724i | 0.0199844 | − | 0.0646957i | ||||
\(355\) | 11.2600 | + | 2.71696i | 0.597618 | + | 0.144201i | ||||
\(356\) | −0.534820 | + | 1.46941i | −0.0283454 | + | 0.0778784i | ||||
\(357\) | −0.0574302 | − | 0.0123810i | −0.00303953 | − | 0.000655272i | ||||
\(358\) | −1.82918 | + | 20.9076i | −0.0966752 | + | 1.10500i | ||||
\(359\) | −4.09708 | − | 23.2357i | −0.216236 | − | 1.22633i | −0.878750 | − | 0.477283i | \(-0.841622\pi\) |
0.662514 | − | 0.749049i | \(-0.269489\pi\) | |||||||
\(360\) | −6.65673 | + | 0.829441i | −0.350840 | + | 0.0437154i | ||||
\(361\) | −0.0475447 | − | 18.9999i | −0.00250235 | − | 0.999997i | ||||
\(362\) | −0.822612 | + | 0.822612i | −0.0432355 | + | 0.0432355i | ||||
\(363\) | 4.20172 | − | 10.3136i | 0.220533 | − | 0.541323i | ||||
\(364\) | 0.0600387 | + | 0.0715514i | 0.00314688 | + | 0.00375031i | ||||
\(365\) | 9.10543 | − | 0.227972i | 0.476600 | − | 0.0119326i | ||||
\(366\) | 12.1069 | + | 1.52212i | 0.632838 | + | 0.0795626i | ||||
\(367\) | −0.483936 | − | 5.53142i | −0.0252613 | − | 0.288738i | −0.998309 | − | 0.0581331i | \(-0.981485\pi\) |
0.973048 | − | 0.230604i | \(-0.0740703\pi\) | |||||||
\(368\) | −1.36738 | + | 0.366388i | −0.0712796 | + | 0.0190993i | ||||
\(369\) | 13.4229 | + | 9.16733i | 0.698767 | + | 0.477232i | ||||
\(370\) | 23.1906 | − | 6.84042i | 1.20562 | − | 0.355617i | ||||
\(371\) | 2.93651 | + | 0.517786i | 0.152456 | + | 0.0268821i | ||||
\(372\) | 7.43429 | + | 0.281156i | 0.385450 | + | 0.0145773i | ||||
\(373\) | −4.20006 | − | 15.6748i | −0.217471 | − | 0.811612i | −0.985282 | − | 0.170936i | \(-0.945321\pi\) |
0.767811 | − | 0.640676i | \(-0.221346\pi\) | |||||||
\(374\) | 0.280509 | + | 0.235375i | 0.0145048 | + | 0.0121710i | ||||
\(375\) | −8.83266 | − | 17.2332i | −0.456117 | − | 0.889920i | ||||
\(376\) | 0.132032 | − | 0.0480558i | 0.00680904 | − | 0.00247829i | ||||
\(377\) | 0.0699504 | − | 0.799537i | 0.00360263 | − | 0.0411782i | ||||
\(378\) | 2.00571 | − | 0.122763i | 0.103162 | − | 0.00631423i | ||||
\(379\) | 8.77393i | 0.450686i | 0.974279 | + | 0.225343i | \(0.0723503\pi\) | ||||
−0.974279 | + | 0.225343i | \(0.927650\pi\) | |||||||
\(380\) | −3.09175 | + | 9.24343i | −0.158604 | + | 0.474178i | ||||
\(381\) | −7.98523 | − | 35.0503i | −0.409095 | − | 1.79568i | ||||
\(382\) | −3.96394 | + | 5.66109i | −0.202813 | + | 0.289647i | ||||
\(383\) | −29.5470 | − | 2.58503i | −1.50978 | − | 0.132089i | −0.698021 | − | 0.716078i | \(-0.745936\pi\) |
−0.811762 | + | 0.583989i | \(0.801491\pi\) | |||||||
\(384\) | −0.939134 | − | 1.45534i | −0.0479250 | − | 0.0742677i | ||||
\(385\) | −2.82277 | − | 2.25063i | −0.143861 | − | 0.114703i | ||||
\(386\) | 4.25641 | − | 5.07259i | 0.216646 | − | 0.258188i | ||||
\(387\) | 6.57616 | − | 5.65007i | 0.334285 | − | 0.287209i | ||||
\(388\) | −10.6619 | − | 2.85684i | −0.541274 | − | 0.145034i | ||||
\(389\) | 1.95238 | − | 11.0725i | 0.0989894 | − | 0.561397i | −0.894462 | − | 0.447144i | \(-0.852441\pi\) |
0.993452 | − | 0.114253i | \(-0.0364476\pi\) | |||||||
\(390\) | −0.253625 | + | 0.900393i | −0.0128428 | + | 0.0455932i | ||||
\(391\) | −0.0620816 | − | 0.107528i | −0.00313960 | − | 0.00543795i | ||||
\(392\) | −1.77303 | − | 6.61702i | −0.0895513 | − | 0.334210i | ||||
\(393\) | −27.4585 | + | 8.83402i | −1.38510 | + | 0.445617i | ||||
\(394\) | 5.84878 | − | 16.0694i | 0.294657 | − | 0.809564i | ||||
\(395\) | 23.8449 | − | 25.0696i | 1.19977 | − | 1.26139i | ||||
\(396\) | −11.4122 | − | 5.16039i | −0.573484 | − | 0.259319i | ||||
\(397\) | 19.5944 | − | 27.9837i | 0.983416 | − | 1.40446i | 0.0699494 | − | 0.997551i | \(-0.477716\pi\) |
0.913467 | − | 0.406913i | \(-0.133395\pi\) | |||||||
\(398\) | −2.02738 | − | 2.02738i | −0.101623 | − | 0.101623i | ||||
\(399\) | 1.09818 | − | 2.70528i | 0.0549776 | − | 0.135433i | ||||
\(400\) | 3.01824 | − | 3.98626i | 0.150912 | − | 0.199313i | ||||
\(401\) | 3.32331 | − | 0.585988i | 0.165958 | − | 0.0292629i | −0.0900517 | − | 0.995937i | \(-0.528703\pi\) |
0.256010 | + | 0.966674i | \(0.417592\pi\) | |||||||
\(402\) | 2.08391 | − | 0.286726i | 0.103936 | − | 0.0143006i | ||||
\(403\) | 0.438434 | − | 0.940225i | 0.0218400 | − | 0.0468359i | ||||
\(404\) | −5.83393 | − | 2.12338i | −0.290249 | − | 0.105642i | ||||
\(405\) | 12.3264 | + | 15.9078i | 0.612506 | + | 0.790466i | ||||
\(406\) | 0.642532 | − | 1.11290i | 0.0318883 | − | 0.0552322i | ||||
\(407\) | 43.6046 | + | 11.6838i | 2.16140 | + | 0.579145i | ||||
\(408\) | 0.101979 | − | 0.112602i | 0.00504871 | − | 0.00557463i | ||||
\(409\) | 14.6702 | + | 2.58675i | 0.725395 | + | 0.127907i | 0.524140 | − | 0.851632i | \(-0.324387\pi\) |
0.201255 | + | 0.979539i | \(0.435498\pi\) | |||||||
\(410\) | −11.8750 | + | 2.40181i | −0.586466 | + | 0.118617i | ||||
\(411\) | −5.52023 | + | 17.8707i | −0.272293 | + | 0.881497i | ||||
\(412\) | 1.38630 | + | 15.8455i | 0.0682983 | + | 0.780654i | ||||
\(413\) | −0.120213 | − | 0.257798i | −0.00591530 | − | 0.0126854i | ||||
\(414\) | 3.03780 | + | 2.96774i | 0.149300 | + | 0.145856i | ||||
\(415\) | −7.18559 | − | 18.3033i | −0.352726 | − | 0.898472i | ||||
\(416\) | −0.237858 | + | 0.0419408i | −0.0116620 | + | 0.00205632i | ||||
\(417\) | 5.39885 | − | 8.58457i | 0.264383 | − | 0.420388i | ||||
\(418\) | −13.9258 | + | 11.7148i | −0.681132 | + | 0.572992i | ||||
\(419\) | −28.9325 | −1.41345 | −0.706723 | − | 0.707491i | \(-0.749827\pi\) | ||||
−0.706723 | + | 0.707491i | \(0.749827\pi\) | |||||||
\(420\) | −0.977315 | + | 1.13497i | −0.0476881 | + | 0.0553807i | ||||
\(421\) | −19.9314 | + | 16.7245i | −0.971399 | + | 0.815101i | −0.982770 | − | 0.184835i | \(-0.940825\pi\) |
0.0113705 | + | 0.999935i | \(0.496381\pi\) | |||||||
\(422\) | −9.68846 | + | 20.7770i | −0.471627 | + | 1.01141i | ||||
\(423\) | −0.326039 | − | 0.267161i | −0.0158526 | − | 0.0129898i | ||||
\(424\) | −4.95622 | + | 5.90659i | −0.240695 | + | 0.286850i | ||||
\(425\) | 0.406237 | + | 0.165216i | 0.0197054 | + | 0.00801417i | ||||
\(426\) | 6.57958 | − | 6.10005i | 0.318782 | − | 0.295549i | ||||
\(427\) | 2.23172 | − | 1.56267i | 0.108001 | − | 0.0756228i | ||||
\(428\) | 0.726142 | − | 0.508450i | 0.0350994 | − | 0.0245769i | ||||
\(429\) | −1.28076 | + | 1.18742i | −0.0618359 | + | 0.0573292i | ||||
\(430\) | −0.401917 | + | 6.44974i | −0.0193822 | + | 0.311034i | ||||
\(431\) | 2.96319 | − | 3.53139i | 0.142732 | − | 0.170101i | −0.689942 | − | 0.723864i | \(-0.742364\pi\) |
0.832674 | + | 0.553763i | \(0.186809\pi\) | |||||||
\(432\) | −2.31831 | + | 4.65032i | −0.111540 | + | 0.223738i | ||||
\(433\) | 0.267212 | − | 0.573039i | 0.0128414 | − | 0.0275385i | −0.899782 | − | 0.436339i | \(-0.856275\pi\) |
0.912624 | + | 0.408800i | \(0.134053\pi\) | |||||||
\(434\) | 1.27245 | − | 1.06771i | 0.0610795 | − | 0.0512518i | ||||
\(435\) | 12.8341 | − | 0.957882i | 0.615350 | − | 0.0459269i | ||||
\(436\) | −18.0198 | −0.862993 | ||||||||
\(437\) | 5.79575 | − | 2.11770i | 0.277248 | − | 0.101303i | ||||
\(438\) | 3.75601 | − | 5.97234i | 0.179469 | − | 0.285369i | ||||
\(439\) | 38.5069 | − | 6.78980i | 1.83783 | − | 0.324060i | 0.856466 | − | 0.516203i | \(-0.172655\pi\) |
0.981367 | + | 0.192143i | \(0.0615438\pi\) | |||||||
\(440\) | 8.68969 | − | 3.41144i | 0.414265 | − | 0.162634i | ||||
\(441\) | −14.3615 | + | 14.7005i | −0.683881 | + | 0.700024i | ||||
\(442\) | −0.00895287 | − | 0.0191995i | −0.000425845 | − | 0.000913227i | ||||
\(443\) | −2.83397 | − | 32.3924i | −0.134646 | − | 1.53901i | −0.699989 | − | 0.714153i | \(-0.746812\pi\) |
0.565344 | − | 0.824856i | \(-0.308744\pi\) | |||||||
\(444\) | 5.52751 | − | 17.8943i | 0.262324 | − | 0.849224i | ||||
\(445\) | −1.93323 | + | 2.91351i | −0.0916438 | + | 0.138114i | ||||
\(446\) | −6.56622 | − | 1.15780i | −0.310919 | − | 0.0548235i | ||||
\(447\) | −10.9362 | + | 12.0754i | −0.517264 | + | 0.571147i | ||||
\(448\) | −0.373543 | − | 0.100091i | −0.0176483 | − | 0.00472884i | ||||
\(449\) | −13.5514 | + | 23.4718i | −0.639531 | + | 1.10770i | 0.346004 | + | 0.938233i | \(0.387538\pi\) |
−0.985536 | + | 0.169468i | \(0.945795\pi\) | |||||||
\(450\) | −14.9047 | − | 1.68848i | −0.702613 | − | 0.0795959i | ||||
\(451\) | −21.2563 | − | 7.73666i | −1.00092 | − | 0.364305i | ||||
\(452\) | 6.78535 | − | 14.5512i | 0.319156 | − | 0.684432i | ||||
\(453\) | 10.3389 | − | 1.42254i | 0.485765 | − | 0.0668367i | ||||
\(454\) | 4.15514 | − | 0.732664i | 0.195011 | − | 0.0343856i | ||||
\(455\) | 0.0929769 | + | 0.187020i | 0.00435882 | + | 0.00876764i | ||||
\(456\) | 4.63836 | + | 5.95698i | 0.217211 | + | 0.278961i | ||||
\(457\) | 25.1035 | + | 25.1035i | 1.17429 | + | 1.17429i | 0.981176 | + | 0.193118i | \(0.0618599\pi\) |
0.193118 | + | 0.981176i | \(0.438140\pi\) | |||||||
\(458\) | −12.2848 | + | 17.5445i | −0.574032 | + | 0.819803i | ||||
\(459\) | −0.446607 | − | 0.0908428i | −0.0208458 | − | 0.00424018i | ||||
\(460\) | −3.16442 | + | 0.0792273i | −0.147542 | + | 0.00369399i | ||||
\(461\) | 5.33599 | − | 14.6605i | 0.248522 | − | 0.682808i | −0.751219 | − | 0.660053i | \(-0.770534\pi\) |
0.999741 | − | 0.0227553i | \(-0.00724386\pi\) | |||||||
\(462\) | −2.66205 | + | 0.856442i | −0.123850 | + | 0.0398453i | ||||
\(463\) | 6.19767 | + | 23.1300i | 0.288030 | + | 1.07494i | 0.946597 | + | 0.322421i | \(0.104497\pi\) |
−0.658566 | + | 0.752523i | \(0.728837\pi\) | |||||||
\(464\) | 1.66149 | + | 2.87778i | 0.0771327 | + | 0.133598i | ||||
\(465\) | 16.0123 | + | 4.51040i | 0.742554 | + | 0.209165i | ||||
\(466\) | −1.76873 | + | 10.0309i | −0.0819346 | + | 0.464674i | ||||
\(467\) | −12.9444 | − | 3.46845i | −0.598997 | − | 0.160501i | −0.0534350 | − | 0.998571i | \(-0.517017\pi\) |
−0.545562 | + | 0.838071i | \(0.683684\pi\) | |||||||
\(468\) | 0.472196 | + | 0.549592i | 0.0218273 | + | 0.0254049i | ||||
\(469\) | 0.301895 | − | 0.359784i | 0.0139402 | − | 0.0166133i | ||||
\(470\) | 0.312201 | − | 0.0352078i | 0.0144008 | − | 0.00162401i | ||||
\(471\) | −14.0539 | − | 21.7789i | −0.647572 | − | 1.00352i | ||||
\(472\) | 0.732741 | + | 0.0641066i | 0.0337272 | + | 0.00295074i | ||||
\(473\) | −6.92047 | + | 9.88345i | −0.318203 | + | 0.454442i | ||||
\(474\) | −5.95308 | − | 26.1304i | −0.273434 | − | 1.20021i | ||||
\(475\) | −11.5686 | + | 18.4707i | −0.530805 | + | 0.847494i | ||||
\(476\) | − | 0.0339191i | − | 0.00155468i | ||||||
\(477\) | 22.8254 | + | 3.75075i | 1.04510 | + | 0.171735i | ||||
\(478\) | −1.47443 | + | 16.8528i | −0.0674386 | + | 0.770827i | ||||
\(479\) | −15.4460 | + | 5.62188i | −0.705746 | + | 0.256870i | −0.669862 | − | 0.742486i | \(-0.733647\pi\) |
−0.0358837 | + | 0.999356i | \(0.511425\pi\) | |||||||
\(480\) | −1.27806 | − | 3.65603i | −0.0583352 | − | 0.166874i | ||||
\(481\) | −2.00062 | − | 1.67872i | −0.0912203 | − | 0.0765429i | ||||
\(482\) | 2.77622 | + | 10.3610i | 0.126453 | + | 0.471931i | ||||
\(483\) | 0.947529 | + | 0.0358344i | 0.0431141 | + | 0.00163052i | ||||
\(484\) | 6.33206 | + | 1.11651i | 0.287821 | + | 0.0507506i | ||||
\(485\) | −21.6771 | − | 11.8020i | −0.984308 | − | 0.535900i | ||||
\(486\) | 15.5472 | − | 1.13377i | 0.705234 | − | 0.0514287i | ||||
\(487\) | 25.2334 | − | 6.76127i | 1.14343 | − | 0.306382i | 0.363104 | − | 0.931749i | \(-0.381717\pi\) |
0.780331 | + | 0.625366i | \(0.215050\pi\) | |||||||
\(488\) | 0.614008 | + | 7.01815i | 0.0277948 | + | 0.317697i | ||||
\(489\) | 21.9654 | + | 2.76157i | 0.993310 | + | 0.124882i | ||||
\(490\) | −0.383397 | − | 15.3133i | −0.0173201 | − | 0.691783i | ||||
\(491\) | −11.8707 | − | 14.1469i | −0.535716 | − | 0.638442i | 0.428506 | − | 0.903539i | \(-0.359040\pi\) |
−0.964222 | + | 0.265098i | \(0.914596\pi\) | |||||||
\(492\) | −3.54071 | + | 8.69106i | −0.159628 | + | 0.391823i | ||||
\(493\) | −0.206091 | + | 0.206091i | −0.00928189 | + | 0.00928189i | ||||
\(494\) | 1.01658 | − | 0.273755i | 0.0457381 | − | 0.0123168i | ||||
\(495\) | −22.0999 | − | 17.2027i | −0.993316 | − | 0.773204i | ||||
\(496\) | 0.745864 | + | 4.23000i | 0.0334903 | + | 0.189933i | ||||
\(497\) | 0.174596 | − | 1.99564i | 0.00783171 | − | 0.0895169i | ||||
\(498\) | −14.8890 | − | 3.20982i | −0.667192 | − | 0.143836i | ||||
\(499\) | −3.59317 | + | 9.87215i | −0.160852 | + | 0.441938i | −0.993769 | − | 0.111461i | \(-0.964447\pi\) |
0.832917 | + | 0.553399i | \(0.186669\pi\) | |||||||
\(500\) | 8.65147 | − | 7.08181i | 0.386906 | − | 0.316708i | ||||
\(501\) | 10.7288 | − | 34.7323i | 0.479326 | − | 1.55173i | ||||
\(502\) | −7.68903 | + | 28.6959i | −0.343178 | + | 1.28076i | ||||
\(503\) | 18.6713 | − | 13.0738i | 0.832511 | − | 0.582931i | −0.0777464 | − | 0.996973i | \(-0.524772\pi\) |
0.910257 | + | 0.414043i | \(0.135884\pi\) | |||||||
\(504\) | 0.313323 | + | 1.11705i | 0.0139565 | + | 0.0497574i | ||||
\(505\) | −11.5674 | − | 7.67542i | −0.514743 | − | 0.341552i | ||||
\(506\) | −5.11825 | − | 2.95502i | −0.227534 | − | 0.131367i | ||||
\(507\) | −21.3385 | + | 6.86508i | −0.947675 | + | 0.304889i | ||||
\(508\) | 18.8103 | − | 8.77137i | 0.834571 | − | 0.389167i | ||||
\(509\) | −19.8373 | + | 7.22018i | −0.879272 | + | 0.320029i | −0.741916 | − | 0.670493i | \(-0.766083\pi\) |
−0.137356 | + | 0.990522i | \(0.543861\pi\) | |||||||
\(510\) | 0.280730 | − | 0.191274i | 0.0124309 | − | 0.00846975i | ||||
\(511\) | −0.273539 | − | 1.55132i | −0.0121006 | − | 0.0686261i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 8.27377 | − | 21.0842i | 0.365296 | − | 0.930891i | ||||
\(514\) | − | 19.9523i | − | 0.880060i | ||||||
\(515\) | −5.29753 | + | 35.1703i | −0.233437 | + | 1.54979i | ||||
\(516\) | 3.98894 | + | 3.02403i | 0.175603 | + | 0.133125i | ||||
\(517\) | 0.531637 | + | 0.247906i | 0.0233814 | + | 0.0109029i | ||||
\(518\) | −1.76721 | − | 3.78980i | −0.0776468 | − | 0.166514i | ||||
\(519\) | 0.0494715 | − | 0.0964025i | 0.00217156 | − | 0.00423160i | ||||
\(520\) | −0.539027 | − | 0.0335896i | −0.0236379 | − | 0.00147300i | ||||
\(521\) | 27.7918 | − | 16.0456i | 1.21758 | − | 0.702971i | 0.253182 | − | 0.967419i | \(-0.418523\pi\) |
0.964400 | + | 0.264447i | \(0.0851895\pi\) | |||||||
\(522\) | 4.88342 | − | 8.69090i | 0.213742 | − | 0.380390i | ||||
\(523\) | −11.2039 | − | 16.0009i | −0.489914 | − | 0.699669i | 0.495736 | − | 0.868473i | \(-0.334898\pi\) |
−0.985650 | + | 0.168804i | \(0.946010\pi\) | |||||||
\(524\) | −8.32670 | − | 14.4223i | −0.363754 | − | 0.630040i | ||||
\(525\) | −2.71966 | + | 1.95446i | −0.118696 | + | 0.0852996i | ||||
\(526\) | 11.2036 | + | 9.40096i | 0.488502 | + | 0.409901i | ||||
\(527\) | −0.341438 | + | 0.159215i | −0.0148733 | + | 0.00693553i | ||||
\(528\) | 1.52390 | − | 7.06873i | 0.0663193 | − | 0.307627i | ||||
\(529\) | −13.4960 | − | 16.0839i | −0.586782 | − | 0.699300i | ||||
\(530\) | −13.8712 | + | 10.2396i | −0.602528 | + | 0.444778i | ||||
\(531\) | −0.955823 | − | 1.98886i | −0.0414792 | − | 0.0863093i | ||||
\(532\) | 1.66043 | + | 0.290637i | 0.0719888 | + | 0.0126007i | ||||
\(533\) | 0.925354 | + | 0.925354i | 0.0400815 | + | 0.0400815i | ||||
\(534\) | 1.05105 | + | 2.49617i | 0.0454832 | + | 0.108020i | ||||
\(535\) | 1.84508 | − | 0.724352i | 0.0797699 | − | 0.0313164i | ||||
\(536\) | 0.415377 | + | 1.14124i | 0.0179415 | + | 0.0492940i | ||||
\(537\) | 22.2972 | + | 28.7099i | 0.962193 | + | 1.23893i | ||||
\(538\) | −21.9854 | + | 1.92347i | −0.947858 | + | 0.0829268i | ||||
\(539\) | 14.2999 | − | 24.7682i | 0.615942 | − | 1.06684i | ||||
\(540\) | −7.47834 | + | 8.89238i | −0.321817 | + | 0.382667i | ||||
\(541\) | 2.79703 | − | 15.8628i | 0.120254 | − | 0.681993i | −0.863760 | − | 0.503903i | \(-0.831897\pi\) |
0.984014 | − | 0.178090i | \(-0.0569920\pi\) | |||||||
\(542\) | −8.88189 | − | 12.6847i | −0.381510 | − | 0.544853i | ||||
\(543\) | −0.0761498 | + | 2.01354i | −0.00326790 | + | 0.0864093i | ||||
\(544\) | 0.0759588 | + | 0.0438548i | 0.00325671 | + | 0.00188026i | ||||
\(545\) | −39.1694 | − | 9.45132i | −1.67783 | − | 0.404850i | ||||
\(546\) | 0.160516 | + | 0.0201807i | 0.00686946 | + | 0.000863653i | ||||
\(547\) | 34.2574 | + | 15.9745i | 1.46474 | + | 0.683019i | 0.981322 | − | 0.192371i | \(-0.0616178\pi\) |
0.483417 | + | 0.875390i | \(0.339396\pi\) | |||||||
\(548\) | −10.7576 | − | 0.941168i | −0.459542 | − | 0.0402047i | ||||
\(549\) | 17.1701 | − | 12.3236i | 0.732801 | − | 0.525958i | ||||
\(550\) | 20.6779 | − | 2.85769i | 0.881710 | − | 0.121852i | ||||
\(551\) | −8.32282 | − | 11.8546i | −0.354564 | − | 0.505024i | ||||
\(552\) | −1.30533 | + | 2.07557i | −0.0555586 | + | 0.0883423i | ||||
\(553\) | −4.90158 | − | 3.43212i | −0.208436 | − | 0.145949i | ||||
\(554\) | −20.1397 | + | 16.8992i | −0.855654 | + | 0.717979i | ||||
\(555\) | 21.4005 | − | 35.9973i | 0.908401 | − | 1.52800i | ||||
\(556\) | 5.50188 | + | 2.00252i | 0.233332 | + | 0.0849258i | ||||
\(557\) | 9.86765 | − | 0.863308i | 0.418106 | − | 0.0365795i | 0.123838 | − | 0.992302i | \(-0.460480\pi\) |
0.294268 | + | 0.955723i | \(0.404924\pi\) | |||||||
\(558\) | 9.77379 | − | 8.39739i | 0.413757 | − | 0.355490i | ||||
\(559\) | 0.604500 | − | 0.349008i | 0.0255676 | − | 0.0147615i | ||||
\(560\) | −0.759468 | − | 0.413487i | −0.0320934 | − | 0.0174730i | ||||
\(561\) | 0.633464 | − | 0.0313603i | 0.0267449 | − | 0.00132403i | ||||
\(562\) | −6.76788 | + | 25.2581i | −0.285486 | + | 1.06545i | ||||
\(563\) | −10.8481 | + | 2.90674i | −0.457194 | + | 0.122505i | −0.480063 | − | 0.877234i | \(-0.659386\pi\) |
0.0228698 | + | 0.999738i | \(0.492720\pi\) | |||||||
\(564\) | 0.111112 | − | 0.216517i | 0.00467864 | − | 0.00911703i | ||||
\(565\) | 22.3813 | − | 28.0709i | 0.941587 | − | 1.18095i | ||||
\(566\) | 7.19177 | + | 19.7592i | 0.302293 | + | 0.830542i | ||||
\(567\) | 2.40299 | − | 2.51782i | 0.100916 | − | 0.105738i | ||||
\(568\) | 4.24332 | + | 2.97121i | 0.178046 | + | 0.124669i | ||||
\(569\) | −31.1436 | −1.30561 | −0.652803 | − | 0.757528i | \(-0.726407\pi\) | ||||
−0.652803 | + | 0.757528i | \(0.726407\pi\) | |||||||
\(570\) | 6.95792 | + | 15.3814i | 0.291435 | + | 0.644256i | ||||
\(571\) | 32.3676 | 1.35454 | 0.677271 | − | 0.735733i | \(-0.263162\pi\) | ||||
0.677271 | + | 0.735733i | \(0.263162\pi\) | |||||||
\(572\) | −0.825994 | − | 0.578367i | −0.0345365 | − | 0.0241827i | ||||
\(573\) | 1.63160 | + | 11.8583i | 0.0681609 | + | 0.495389i | ||||
\(574\) | 0.716647 | + | 1.96897i | 0.0299123 | + | 0.0821832i | ||||
\(575\) | −6.92001 | − | 1.48751i | −0.288584 | − | 0.0620335i | ||||
\(576\) | −2.90664 | − | 0.742603i | −0.121110 | − | 0.0309418i | ||||
\(577\) | −27.7460 | + | 7.43452i | −1.15508 | + | 0.309503i | −0.785000 | − | 0.619496i | \(-0.787337\pi\) |
−0.370082 | + | 0.928999i | \(0.620670\pi\) | |||||||
\(578\) | 4.39793 | − | 16.4133i | 0.182930 | − | 0.682704i | ||||
\(579\) | −0.567105 | − | 11.4553i | −0.0235681 | − | 0.476064i | ||||
\(580\) | 2.10217 | + | 7.12684i | 0.0872877 | + | 0.295926i | ||||
\(581\) | −2.94508 | + | 1.70034i | −0.122183 | + | 0.0705422i | ||||
\(582\) | −16.9064 | + | 8.92662i | −0.700793 | + | 0.370020i | ||||
\(583\) | −32.0681 | + | 2.80559i | −1.32812 | + | 0.116196i | ||||
\(584\) | 3.82769 | + | 1.39317i | 0.158391 | + | 0.0576497i | ||||
\(585\) | 0.738146 | + | 1.44230i | 0.0305186 | + | 0.0596320i | ||||
\(586\) | −4.37711 | + | 3.67283i | −0.180817 | + | 0.151723i | ||||
\(587\) | −6.55433 | − | 4.58939i | −0.270526 | − | 0.189424i | 0.430440 | − | 0.902619i | \(-0.358359\pi\) |
−0.700966 | + | 0.713195i | \(0.747247\pi\) | |||||||
\(588\) | −10.0441 | − | 6.31676i | −0.414213 | − | 0.260499i | ||||
\(589\) | −4.86839 | − | 18.0786i | −0.200598 | − | 0.744914i | ||||
\(590\) | 1.55912 | + | 0.523667i | 0.0641882 | + | 0.0215590i | ||||
\(591\) | −11.4942 | − | 27.2981i | −0.472809 | − | 1.12289i | ||||
\(592\) | 10.7718 | + | 0.942408i | 0.442717 | + | 0.0387327i | ||||
\(593\) | −35.6055 | − | 16.6031i | −1.46214 | − | 0.681808i | −0.481290 | − | 0.876561i | \(-0.659832\pi\) |
−0.980852 | + | 0.194753i | \(0.937609\pi\) | |||||||
\(594\) | −20.5720 | + | 6.88432i | −0.844081 | + | 0.282467i | ||||
\(595\) | 0.0177904 | − | 0.0737295i | 0.000729337 | − | 0.00302261i | ||||
\(596\) | −8.14579 | − | 4.70298i | −0.333665 | − | 0.192641i | ||||
\(597\) | −4.96250 | − | 0.187676i | −0.203101 | − | 0.00768106i | ||||
\(598\) | 0.196112 | + | 0.280076i | 0.00801960 | + | 0.0114532i | ||||
\(599\) | 5.44794 | − | 30.8968i | 0.222597 | − | 1.26241i | −0.644629 | − | 0.764496i | \(-0.722988\pi\) |
0.867226 | − | 0.497915i | \(-0.165901\pi\) | |||||||
\(600\) | −0.860524 | − | 8.61740i | −0.0351308 | − | 0.351804i | ||||
\(601\) | 6.26850 | − | 10.8574i | 0.255698 | − | 0.442881i | −0.709387 | − | 0.704819i | \(-0.751028\pi\) |
0.965085 | + | 0.261938i | \(0.0843615\pi\) | |||||||
\(602\) | 1.11337 | − | 0.0974074i | 0.0453776 | − | 0.00397003i | ||||
\(603\) | 2.30924 | − | 2.81817i | 0.0940397 | − | 0.114765i | ||||
\(604\) | 2.06081 | + | 5.66204i | 0.0838533 | + | 0.230385i | ||||
\(605\) | 13.1783 | + | 5.74808i | 0.535774 | + | 0.233693i | ||||
\(606\) | −9.91045 | + | 4.17293i | −0.402585 | + | 0.169514i | ||||
\(607\) | −12.1810 | − | 12.1810i | −0.494413 | − | 0.494413i | 0.415281 | − | 0.909693i | \(-0.363683\pi\) |
−0.909693 | + | 0.415281i | \(0.863683\pi\) | |||||||
\(608\) | −2.79767 | + | 3.34261i | −0.113460 | + | 0.135561i | ||||
\(609\) | −0.494416 | − | 2.17019i | −0.0200347 | − | 0.0879405i | ||||
\(610\) | −2.34633 | + | 15.5773i | −0.0950001 | + | 0.630706i | ||||
\(611\) | −0.0218137 | − | 0.0259965i | −0.000882486 | − | 0.00105171i | ||||
\(612\) | −0.00306929 | − | 0.263111i | −0.000124069 | − | 0.0106356i | ||||
\(613\) | 3.77675 | − | 1.76113i | 0.152541 | − | 0.0711313i | −0.344848 | − | 0.938658i | \(-0.612070\pi\) |
0.497390 | + | 0.867527i | \(0.334292\pi\) | |||||||
\(614\) | 4.98408 | + | 4.18214i | 0.201141 | + | 0.168778i | ||||
\(615\) | −12.2548 | + | 17.0345i | −0.494162 | + | 0.686899i | ||||
\(616\) | −0.807259 | − | 1.39821i | −0.0325254 | − | 0.0563356i | ||||
\(617\) | −22.8753 | − | 32.6694i | −0.920927 | − | 1.31522i | −0.948889 | − | 0.315611i | \(-0.897791\pi\) |
0.0279620 | − | 0.999609i | \(-0.491098\pi\) | |||||||
\(618\) | 20.4203 | + | 18.4938i | 0.821424 | + | 0.743930i | ||||
\(619\) | −23.1303 | + | 13.3543i | −0.929683 | + | 0.536753i | −0.886711 | − | 0.462323i | \(-0.847016\pi\) |
−0.0429719 | + | 0.999076i | \(0.513683\pi\) | |||||||
\(620\) | −0.597347 | + | 9.58589i | −0.0239900 | + | 0.384979i | ||||
\(621\) | 7.35324 | + | 0.192228i | 0.295075 | + | 0.00771383i | ||||
\(622\) | −3.24767 | − | 6.96466i | −0.130220 | − | 0.279257i | ||||
\(623\) | 0.548061 | + | 0.255565i | 0.0219576 | + | 0.0102390i | ||||
\(624\) | −0.252728 | + | 0.333370i | −0.0101172 | + | 0.0133455i | ||||
\(625\) | 22.5199 | − | 10.8560i | 0.900798 | − | 0.434238i | ||||
\(626\) | 19.3093i | 0.771756i | ||||||||
\(627\) | −3.89269 | + | 31.2785i | −0.155459 | + | 1.24914i | ||||
\(628\) | 10.5817 | − | 10.5817i | 0.422256 | − | 0.422256i | ||||
\(629\) | 0.164688 | + | 0.933989i | 0.00656652 | + | 0.0372406i | ||||
\(630\) | 0.0951768 | + | 2.59245i | 0.00379194 | + | 0.103286i | ||||
\(631\) | −29.7704 | + | 10.8355i | −1.18514 | + | 0.431356i | −0.858015 | − | 0.513625i | \(-0.828302\pi\) |
−0.327125 | + | 0.944981i | \(0.606080\pi\) | |||||||
\(632\) | 14.0233 | − | 6.53916i | 0.557816 | − | 0.260114i | ||||
\(633\) | 12.1608 | + | 37.7990i | 0.483348 | + | 1.50237i | ||||
\(634\) | −23.9107 | − | 13.8049i | −0.949616 | − | 0.548261i | ||||
\(635\) | 45.4881 | − | 9.20028i | 1.80514 | − | 0.365102i | ||||
\(636\) | 0.660344 | + | 13.3387i | 0.0261844 | + | 0.528912i | ||||
\(637\) | −1.35535 | + | 0.949024i | −0.0537008 | + | 0.0376017i | ||||
\(638\) | −3.59062 | + | 13.4004i | −0.142154 | + | 0.530526i | ||||
\(639\) | 1.17376 | − | 15.4960i | 0.0464333 | − | 0.613014i | ||||
\(640\) | 1.90790 | − | 1.16615i | 0.0754164 | − | 0.0460962i | ||||
\(641\) | 13.7302 | − | 37.7234i | 0.542310 | − | 1.48998i | −0.301566 | − | 0.953445i | \(-0.597509\pi\) |
0.843876 | − | 0.536539i | \(-0.180269\pi\) | |||||||
\(642\) | 0.323570 | − | 1.50090i | 0.0127703 | − | 0.0592360i | ||||
\(643\) | 0.493763 | − | 5.64374i | 0.0194721 | − | 0.222567i | −0.980223 | − | 0.197894i | \(-0.936590\pi\) |
0.999696 | − | 0.0246734i | \(-0.00785458\pi\) | |||||||
\(644\) | 0.0950632 | + | 0.539130i | 0.00374602 | + | 0.0212447i | ||||
\(645\) | 7.08462 | + | 8.66546i | 0.278957 | + | 0.341202i | ||||
\(646\) | −0.346699 | − | 0.161141i | −0.0136407 | − | 0.00634000i | ||||
\(647\) | 7.88238 | − | 7.88238i | 0.309888 | − | 0.309888i | −0.534978 | − | 0.844866i | \(-0.679680\pi\) |
0.844866 | + | 0.534978i | \(0.179680\pi\) | |||||||
\(648\) | 2.53153 | + | 8.63663i | 0.0994480 | + | 0.339279i | ||||
\(649\) | 1.97387 | + | 2.35237i | 0.0774813 | + | 0.0923387i | ||||
\(650\) | −1.15406 | − | 0.355730i | −0.0452658 | − | 0.0139529i | ||||
\(651\) | 0.358887 | − | 2.85458i | 0.0140659 | − | 0.111880i | ||||
\(652\) | 1.11399 | + | 12.7329i | 0.0436271 | + | 0.498660i | ||||
\(653\) | 29.4972 | − | 7.90374i | 1.15431 | − | 0.309297i | 0.369621 | − | 0.929183i | \(-0.379488\pi\) |
0.784692 | + | 0.619885i | \(0.212821\pi\) | |||||||
\(654\) | −22.8880 | + | 21.2199i | −0.894991 | + | 0.829762i | ||||
\(655\) | −10.5352 | − | 35.7168i | −0.411644 | − | 1.39557i | ||||
\(656\) | −5.33590 | − | 0.940863i | −0.208332 | − | 0.0367345i | ||||
\(657\) | −2.26222 | − | 12.0088i | −0.0882576 | − | 0.468509i | ||||
\(658\) | −0.0140633 | − | 0.0524850i | −0.000548245 | − | 0.00204608i | ||||
\(659\) | 31.4260 | + | 26.3696i | 1.22418 | + | 1.02721i | 0.998595 | + | 0.0529897i | \(0.0168751\pi\) |
0.225589 | + | 0.974223i | \(0.427569\pi\) | |||||||
\(660\) | 7.02000 | − | 14.5659i | 0.273253 | − | 0.566977i | ||||
\(661\) | −43.5416 | + | 15.8479i | −1.69357 | + | 0.616410i | −0.995068 | − | 0.0991949i | \(-0.968373\pi\) |
−0.698505 | + | 0.715605i | \(0.746151\pi\) | |||||||
\(662\) | −1.55999 | + | 17.8308i | −0.0606307 | + | 0.693012i | ||||
\(663\) | −0.0339806 | − | 0.0138436i | −0.00131970 | − | 0.000537640i | ||||
\(664\) | − | 8.79366i | − | 0.341260i | ||||||
\(665\) | 3.45682 | + | 1.50264i | 0.134050 | + | 0.0582700i | ||||
\(666\) | −14.0512 | − | 29.2376i | −0.544474 | − | 1.13293i | ||||
\(667\) | 2.69814 | − | 3.85334i | 0.104472 | − | 0.149202i | ||||
\(668\) | 20.9078 | + | 1.82919i | 0.808946 | + | 0.0707736i | ||||
\(669\) | −9.70353 | + | 6.26169i | −0.375160 | + | 0.242091i | ||||
\(670\) | 0.304323 | + | 2.69856i | 0.0117570 | + | 0.104254i | ||||
\(671\) | −18.9056 | + | 22.5309i | −0.729844 | + | 0.869794i | ||||
\(672\) | −0.592323 | + | 0.312748i | −0.0228494 | + | 0.0120645i | ||||
\(673\) | 26.4162 | + | 7.07819i | 1.01827 | + | 0.272844i | 0.729080 | − | 0.684428i | \(-0.239948\pi\) |
0.289188 | + | 0.957272i | \(0.406615\pi\) | |||||||
\(674\) | −1.35326 | + | 7.67470i | −0.0521255 | + | 0.295618i | ||||
\(675\) | −20.9196 | + | 15.4069i | −0.805195 | + | 0.593011i | ||||
\(676\) | −6.47083 | − | 11.2078i | −0.248878 | − | 0.431070i | ||||
\(677\) | 5.91360 | + | 22.0699i | 0.227278 | + | 0.848214i | 0.981479 | + | 0.191570i | \(0.0613579\pi\) |
−0.754201 | + | 0.656644i | \(0.771975\pi\) | |||||||
\(678\) | −8.51686 | − | 26.4726i | −0.327088 | − | 1.01668i | ||||
\(679\) | −1.45995 | + | 4.01118i | −0.0560278 | + | 0.153935i | ||||
\(680\) | 0.142109 | + | 0.135167i | 0.00544962 | + | 0.00518340i | ||||
\(681\) | 4.41490 | − | 5.82363i | 0.169179 | − | 0.223162i | ||||
\(682\) | −10.2855 | + | 14.6892i | −0.393853 | + | 0.562480i | ||||
\(683\) | −11.2707 | − | 11.2707i | −0.431262 | − | 0.431262i | 0.457795 | − | 0.889058i | \(-0.348639\pi\) |
−0.889058 | + | 0.457795i | \(0.848639\pi\) | |||||||
\(684\) | 12.9063 | + | 2.10423i | 0.493484 | + | 0.0804571i | ||||
\(685\) | −22.8900 | − | 7.68812i | −0.874582 | − | 0.293748i | ||||
\(686\) | −5.27488 | + | 0.930103i | −0.201396 | + | 0.0355115i | ||||
\(687\) | 5.05656 | + | 36.7507i | 0.192920 | + | 1.40213i | ||||
\(688\) | −1.22137 | + | 2.61924i | −0.0465643 | + | 0.0998574i | ||||
\(689\) | 1.74999 | + | 0.636945i | 0.0666693 | + | 0.0242657i | ||||
\(690\) | −3.92601 | + | 3.82700i | −0.149461 | + | 0.145692i | ||||
\(691\) | 0.812393 | − | 1.40711i | 0.0309049 | − | 0.0535288i | −0.850159 | − | 0.526526i | \(-0.823494\pi\) |
0.881064 | + | 0.472997i | \(0.156828\pi\) | |||||||
\(692\) | 0.0604273 | + | 0.0161914i | 0.00229710 | + | 0.000615507i | ||||
\(693\) | −2.37268 | + | 4.22260i | −0.0901307 | + | 0.160403i | ||||
\(694\) | 6.06280 | + | 1.06903i | 0.230141 | + | 0.0405800i | ||||
\(695\) | 10.9090 | + | 7.23857i | 0.413804 | + | 0.274574i | ||||
\(696\) | 5.49918 | + | 1.69869i | 0.208446 | + | 0.0643886i | ||||
\(697\) | −0.0414190 | − | 0.473421i | −0.00156886 | − | 0.0179321i | ||||
\(698\) | 3.43208 | + | 7.36012i | 0.129906 | + | 0.278585i | ||||
\(699\) | 9.56572 | + | 14.8237i | 0.361809 | + | 0.560683i | ||||
\(700\) | −1.43397 | − | 1.29713i | −0.0541990 | − | 0.0490269i | ||||
\(701\) | 13.6591 | − | 2.40846i | 0.515896 | − | 0.0909664i | 0.0903625 | − | 0.995909i | \(-0.471197\pi\) |
0.425534 | + | 0.904942i | \(0.360086\pi\) | |||||||
\(702\) | 1.24695 | + | 0.142017i | 0.0470632 | + | 0.00536008i | ||||
\(703\) | −47.1324 | + | 0.0589710i | −1.77763 | + | 0.00222413i | ||||
\(704\) | 4.17489 | 0.157347 | ||||||||
\(705\) | 0.355084 | − | 0.412363i | 0.0133732 | − | 0.0155305i | ||||
\(706\) | −4.01795 | + | 3.37146i | −0.151217 | + | 0.126887i | ||||
\(707\) | −1.01466 | + | 2.17595i | −0.0381602 | + | 0.0818349i | ||||
\(708\) | 1.00619 | − | 0.781440i | 0.0378148 | − | 0.0293683i | ||||
\(709\) | 21.9263 | − | 26.1308i | 0.823460 | − | 0.981362i | −0.176535 | − | 0.984294i | \(-0.556489\pi\) |
0.999996 | + | 0.00293245i | \(0.000933429\pi\) | |||||||
\(710\) | 7.66526 | + | 8.68407i | 0.287672 | + | 0.325907i | ||||
\(711\) | −38.3322 | − | 26.1795i | −1.43757 | − | 0.981807i | ||||
\(712\) | −1.28092 | + | 0.896907i | −0.0480043 | + | 0.0336130i | ||||
\(713\) | 4.98080 | − | 3.48759i | 0.186532 | − | 0.130611i | ||||
\(714\) | −0.0399426 | − | 0.0430825i | −0.00149482 | − | 0.00161232i | ||||
\(715\) | −1.49210 | − | 1.69042i | −0.0558013 | − | 0.0632181i | ||||
\(716\) | −13.4905 | + | 16.0773i | −0.504164 | + | 0.600839i | ||||
\(717\) | 17.9728 | + | 23.1419i | 0.671207 | + | 0.864249i | ||||
\(718\) | 9.97131 | − | 21.3835i | 0.372126 | − | 0.798027i | ||||
\(719\) | 23.4038 | − | 19.6381i | 0.872815 | − | 0.732379i | −0.0918741 | − | 0.995771i | \(-0.529286\pi\) |
0.964689 | + | 0.263392i | \(0.0848413\pi\) | |||||||
\(720\) | −5.92862 | − | 3.13870i | −0.220947 | − | 0.116973i | ||||
\(721\) | 6.15120 | 0.229083 | ||||||||
\(722\) | 10.8590 | − | 15.5911i | 0.404129 | − | 0.580241i | ||||
\(723\) | 15.7272 | + | 9.89084i | 0.584900 | + | 0.367844i | ||||
\(724\) | −1.14568 | + | 0.202014i | −0.0425787 | + | 0.00750777i | ||||
\(725\) | 0.831450 | + | 16.5941i | 0.0308793 | + | 0.616288i | ||||
\(726\) | 9.35748 | − | 6.03839i | 0.347289 | − | 0.224106i | ||||
\(727\) | −15.0458 | − | 32.2659i | −0.558019 | − | 1.19668i | −0.959734 | − | 0.280911i | \(-0.909363\pi\) |
0.401715 | − | 0.915765i | \(-0.368414\pi\) | |||||||
\(728\) | 0.00814067 | + | 0.0930483i | 0.000301713 | + | 0.00344860i | ||||
\(729\) | 18.4122 | − | 19.7482i | 0.681934 | − | 0.731414i | ||||
\(730\) | 7.58949 | + | 5.03592i | 0.280900 | + | 0.186388i | ||||
\(731\) | −0.249630 | − | 0.0440166i | −0.00923292 | − | 0.00162801i | ||||
\(732\) | 9.04435 | + | 8.19109i | 0.334289 | + | 0.302751i | ||||
\(733\) | −21.3473 | − | 5.71998i | −0.788479 | − | 0.211272i | −0.157960 | − | 0.987446i | \(-0.550492\pi\) |
−0.630520 | + | 0.776173i | \(0.717158\pi\) | |||||||
\(734\) | 2.77627 | − | 4.80865i | 0.102474 | − | 0.177490i | ||||
\(735\) | −18.5196 | − | 18.9987i | −0.683107 | − | 0.700779i | ||||
\(736\) | −1.33024 | − | 0.484169i | −0.0490334 | − | 0.0178467i | ||||
\(737\) | −2.14281 | + | 4.59528i | −0.0789315 | + | 0.169269i | ||||
\(738\) | 5.73721 | + | 15.2085i | 0.211190 | + | 0.559832i | ||||
\(739\) | 9.88521 | − | 1.74303i | 0.363633 | − | 0.0641184i | 0.0111536 | − | 0.999938i | \(-0.496450\pi\) |
0.352480 | + | 0.935819i | \(0.385339\pi\) | |||||||
\(740\) | 22.9202 | + | 7.69825i | 0.842562 | + | 0.282993i | ||||
\(741\) | 0.968844 | − | 1.54482i | 0.0355914 | − | 0.0567504i | ||||
\(742\) | 2.10846 | + | 2.10846i | 0.0774040 | + | 0.0774040i | ||||
\(743\) | 14.3922 | − | 20.5542i | 0.528000 | − | 0.754062i | −0.463226 | − | 0.886240i | \(-0.653308\pi\) |
0.991226 | + | 0.132178i | \(0.0421971\pi\) | |||||||
\(744\) | 5.92855 | + | 4.49444i | 0.217351 | + | 0.164774i | ||||
\(745\) | −15.2397 | − | 14.4952i | −0.558339 | − | 0.531064i | ||||
\(746\) | 5.55022 | − | 15.2491i | 0.203208 | − | 0.558310i | ||||
\(747\) | −22.6912 | + | 13.4561i | −0.830227 | + | 0.492333i | ||||
\(748\) | 0.0947740 | + | 0.353701i | 0.00346528 | + | 0.0129326i | ||||
\(749\) | −0.171405 | − | 0.296883i | −0.00626301 | − | 0.0108479i | ||||
\(750\) | 2.64928 | − | 19.1828i | 0.0967380 | − | 0.700458i | ||||
\(751\) | 4.45158 | − | 25.2461i | 0.162440 | − | 0.921245i | −0.789224 | − | 0.614105i | \(-0.789517\pi\) |
0.951664 | − | 0.307140i | \(-0.0993719\pi\) | |||||||
\(752\) | 0.135718 | + | 0.0363656i | 0.00494913 | + | 0.00132612i | ||||
\(753\) | 24.0255 | + | 45.5027i | 0.875539 | + | 1.65821i | ||||
\(754\) | 0.515895 | − | 0.614820i | 0.0187878 | − | 0.0223904i | ||||
\(755\) | 1.50984 | + | 13.3884i | 0.0549488 | + | 0.487253i | ||||
\(756\) | 1.71339 | + | 1.04986i | 0.0623154 | + | 0.0381832i | ||||
\(757\) | 4.00393 | + | 0.350298i | 0.145525 | + | 0.0127318i | 0.159686 | − | 0.987168i | \(-0.448952\pi\) |
−0.0141603 | + | 0.999900i | \(0.504508\pi\) | |||||||
\(758\) | −5.03252 | + | 7.18718i | −0.182789 | + | 0.261050i | ||||
\(759\) | −9.98076 | + | 2.27383i | −0.362279 | + | 0.0825349i | ||||
\(760\) | −7.83443 | + | 5.79842i | −0.284185 | + | 0.210331i | ||||
\(761\) | − | 0.572699i | − | 0.0207603i | −0.999946 | − | 0.0103802i | \(-0.996696\pi\) | ||
0.999946 | − | 0.0103802i | \(-0.00330417\pi\) | |||||||
\(762\) | 13.5629 | − | 33.2917i | 0.491333 | − | 1.20603i | ||||
\(763\) | −0.607357 | + | 6.94212i | −0.0219878 | + | 0.251321i | ||||
\(764\) | −6.49414 | + | 2.36367i | −0.234950 | + | 0.0855147i | ||||
\(765\) | 0.131329 | − | 0.573530i | 0.00474821 | − | 0.0207360i | ||||
\(766\) | −22.7208 | − | 19.0650i | −0.820936 | − | 0.688847i | ||||
\(767\) | −0.0459801 | − | 0.171600i | −0.00166024 | − | 0.00619611i | ||||
\(768\) | 0.0654573 | − | 1.73081i | 0.00236199 | − | 0.0624554i | ||||
\(769\) | −35.8121 | − | 6.31464i | −1.29142 | − | 0.227712i | −0.514597 | − | 0.857432i | \(-0.672058\pi\) |
−0.776822 | + | 0.629721i | \(0.783169\pi\) | |||||||
\(770\) | −1.02137 | − | 3.46268i | −0.0368076 | − | 0.124786i | ||||
\(771\) | −23.4956 | − | 25.3426i | −0.846172 | − | 0.912690i | ||||
\(772\) | 6.39616 | − | 1.71385i | 0.230203 | − | 0.0616827i | ||||
\(773\) | 1.73190 | + | 19.7957i | 0.0622920 | + | 0.712001i | 0.961559 | + | 0.274600i | \(0.0885454\pi\) |
−0.899267 | + | 0.437401i | \(0.855899\pi\) | |||||||
\(774\) | 8.62762 | − | 0.856338i | 0.310114 | − | 0.0307804i | ||||
\(775\) | −6.32621 | + | 20.5234i | −0.227244 | + | 0.737222i | ||||
\(776\) | −7.09508 | − | 8.45558i | −0.254698 | − | 0.303538i | ||||
\(777\) | −6.70744 | − | 2.73259i | −0.240628 | − | 0.0980311i | ||||
\(778\) | 7.95021 | − | 7.95021i | 0.285029 | − | 0.285029i | ||||
\(779\) | 23.5301 | + | 2.02896i | 0.843055 | + | 0.0726950i | ||||
\(780\) | −0.724202 | + | 0.592086i | −0.0259306 | + | 0.0212001i | ||||
\(781\) | 3.75541 | + | 21.2980i | 0.134379 | + | 0.762102i | ||||
\(782\) | 0.0108215 | − | 0.123691i | 0.000386977 | − | 0.00442317i | ||||
\(783\) | −4.03157 | − | 16.7894i | −0.144077 | − | 0.600006i | ||||
\(784\) | 2.34299 | − | 6.43731i | 0.0836782 | − | 0.229904i | ||||
\(785\) | 28.5513 | − | 17.4512i | 1.01904 | − | 0.622861i | ||||
\(786\) | −27.5597 | − | 8.51313i | −0.983020 | − | 0.303653i | ||||
\(787\) | −6.05780 | + | 22.6080i | −0.215937 | + | 0.805889i | 0.769897 | + | 0.638168i | \(0.220308\pi\) |
−0.985834 | + | 0.167721i | \(0.946359\pi\) | |||||||
\(788\) | 14.0081 | − | 9.80855i | 0.499017 | − | 0.349415i | ||||
\(789\) | 25.3008 | − | 1.25254i | 0.900732 | − | 0.0445917i | ||||
\(790\) | 33.9120 | − | 6.85892i | 1.20653 | − | 0.244030i | ||||
\(791\) | −5.37715 | − | 3.10450i | −0.191189 | − | 0.110383i | ||||
\(792\) | −6.38844 | − | 10.7729i | −0.227003 | − | 0.382799i | ||||
\(793\) | 1.54213 | − | 0.719107i | 0.0547626 | − | 0.0255362i | ||||
\(794\) | 32.1016 | − | 11.6840i | 1.13924 | − | 0.414651i | ||||
\(795\) | −5.56069 | + | 29.3404i | −0.197217 | + | 1.04060i | ||||
\(796\) | −0.497875 | − | 2.82359i | −0.0176467 | − | 0.100079i | ||||
\(797\) | −23.4098 | + | 23.4098i | −0.829218 | + | 0.829218i | −0.987409 | − | 0.158191i | \(-0.949434\pi\) |
0.158191 | + | 0.987409i | \(0.449434\pi\) | |||||||
\(798\) | 2.45126 | − | 1.58614i | 0.0867735 | − | 0.0561489i | ||||
\(799\) | 0.0123237i | 0.000435982i | ||||||||
\(800\) | 4.75882 | − | 1.53416i | 0.168250 | − | 0.0542408i | ||||
\(801\) | 4.27444 | + | 1.93283i | 0.151030 | + | 0.0682931i | ||||
\(802\) | 3.05840 | + | 1.42616i | 0.107996 | + | 0.0503593i | ||||
\(803\) | 7.18696 | + | 15.4125i | 0.253622 | + | 0.543895i | ||||
\(804\) | 1.87150 | + | 0.960409i | 0.0660027 | + | 0.0338710i | ||||
\(805\) | −0.0761343 | + | 1.22176i | −0.00268338 | + | 0.0430614i | ||||
\(806\) | 0.898435 | − | 0.518712i | 0.0316460 | − | 0.0182708i | ||||
\(807\) | −25.6598 | + | 28.3328i | −0.903268 | + | 0.997361i | ||||
\(808\) | −3.56096 | − | 5.08557i | −0.125274 | − | 0.178910i | ||||
\(809\) | −11.0805 | − | 19.1920i | −0.389570 | − | 0.674755i | 0.602822 | − | 0.797876i | \(-0.294043\pi\) |
−0.992392 | + | 0.123121i | \(0.960710\pi\) | |||||||
\(810\) | 0.972875 | + | 20.1011i | 0.0341833 | + | 0.706280i | ||||
\(811\) | 7.54351 | + | 6.32975i | 0.264888 | + | 0.222268i | 0.765552 | − | 0.643374i | \(-0.222466\pi\) |
−0.500663 | + | 0.865642i | \(0.666911\pi\) | |||||||
\(812\) | 1.16466 | − | 0.543091i | 0.0408717 | − | 0.0190588i | ||||
\(813\) | −26.2186 | − | 5.65230i | −0.919528 | − | 0.198235i | ||||
\(814\) | 29.0172 | + | 34.5814i | 1.01705 | + | 1.21208i | ||||
\(815\) | −4.25691 | + | 28.2616i | −0.149113 | + | 0.989962i | ||||
\(816\) | 0.148122 | − | 0.0337455i | 0.00518531 | − | 0.00118133i | ||||
\(817\) | 4.29370 | − | 11.8429i | 0.150217 | − | 0.414331i | ||||
\(818\) | 10.5334 | + | 10.5334i | 0.368293 | + | 0.368293i | ||||
\(819\) | 0.227645 | − | 0.163389i | 0.00795456 | − | 0.00570927i | ||||
\(820\) | −11.1051 | − | 4.84380i | −0.387806 | − | 0.169153i | ||||
\(821\) | 16.1110 | + | 44.2647i | 0.562279 | + | 1.54485i | 0.816287 | + | 0.577646i | \(0.196029\pi\) |
−0.254009 | + | 0.967202i | \(0.581749\pi\) | |||||||
\(822\) | −14.7721 | + | 11.4726i | −0.515237 | + | 0.400151i | ||||
\(823\) | 17.1250 | − | 1.49824i | 0.596940 | − | 0.0522255i | 0.215318 | − | 0.976544i | \(-0.430921\pi\) |
0.381622 | + | 0.924318i | \(0.375366\pi\) | |||||||
\(824\) | −7.95303 | + | 13.7751i | −0.277057 | + | 0.479877i | ||||
\(825\) | 22.8990 | − | 27.9797i | 0.797242 | − | 0.974129i | ||||
\(826\) | 0.0493940 | − | 0.280127i | 0.00171864 | − | 0.00974687i | ||||
\(827\) | 31.9727 | + | 45.6617i | 1.11180 | + | 1.58781i | 0.757695 | + | 0.652608i | \(0.226325\pi\) |
0.354104 | + | 0.935206i | \(0.384786\pi\) | |||||||
\(828\) | 0.786192 | + | 4.17344i | 0.0273221 | + | 0.145037i | ||||
\(829\) | 14.3311 | + | 8.27408i | 0.497741 | + | 0.287371i | 0.727780 | − | 0.685811i | \(-0.240552\pi\) |
−0.230039 | + | 0.973181i | \(0.573886\pi\) | |||||||
\(830\) | 4.61224 | − | 19.1146i | 0.160093 | − | 0.663479i | ||||
\(831\) | −5.68029 | + | 45.1808i | −0.197047 | + | 1.56731i | ||||
\(832\) | −0.218898 | − | 0.102074i | −0.00758894 | − | 0.00353878i | ||||
\(833\) | 0.598564 | + | 0.0523676i | 0.0207390 | + | 0.00181443i | ||||
\(834\) | 9.34638 | − | 3.93542i | 0.323639 | − | 0.136272i | ||||
\(835\) | 44.4875 | + | 14.9421i | 1.53955 | + | 0.517093i | ||||
\(836\) | −18.1267 | + | 1.60874i | −0.626925 | + | 0.0556393i | ||||
\(837\) | 2.52559 | − | 22.1755i | 0.0872970 | − | 0.766496i | ||||
\(838\) | −23.7001 | − | 16.5950i | −0.818707 | − | 0.573265i | ||||
\(839\) | −30.6010 | + | 25.6773i | −1.05646 | + | 0.886478i | −0.993758 | − | 0.111554i | \(-0.964417\pi\) |
−0.0627052 | + | 0.998032i | \(0.519973\pi\) | |||||||
\(840\) | −1.45156 | + | 0.369145i | −0.0500835 | + | 0.0127367i | ||||
\(841\) | 16.8748 | + | 6.14194i | 0.581891 | + | 0.211791i | ||||
\(842\) | −25.9196 | + | 2.26767i | −0.893250 | + | 0.0781492i | ||||
\(843\) | 21.1473 | + | 40.0514i | 0.728350 | + | 1.37944i | ||||
\(844\) | −19.8535 | + | 11.4624i | −0.683386 | + | 0.394553i | ||||
\(845\) | −8.18710 | − | 27.7562i | −0.281645 | − | 0.954841i | ||||
\(846\) | −0.113839 | − | 0.405854i | −0.00391385 | − | 0.0139536i | ||||
\(847\) | 0.643557 | − | 2.40179i | 0.0221129 | − | 0.0825264i | ||||
\(848\) | −7.44778 | + | 1.99563i | −0.255758 | + | 0.0685301i | ||||
\(849\) | 32.4028 | + | 16.6284i | 1.11206 | + | 0.570684i | ||||
\(850\) | 0.238005 | + | 0.368345i | 0.00816351 | + | 0.0126341i | ||||
\(851\) | −5.23528 | − | 14.3838i | −0.179463 | − | 0.493071i | ||||
\(852\) | 8.88853 | − | 1.22298i | 0.304516 | − | 0.0418985i | ||||
\(853\) | 15.8605 | + | 11.1056i | 0.543052 | + | 0.380249i | 0.812675 | − | 0.582717i | \(-0.198010\pi\) |
−0.269623 | + | 0.962966i | \(0.586899\pi\) | |||||||
\(854\) | 2.72443 | 0.0932280 | ||||||||
\(855\) | 26.9505 | + | 11.3432i | 0.921689 | + | 0.387930i | ||||
\(856\) | 0.886456 | 0.0302984 | ||||||||
\(857\) | 31.6070 | + | 22.1315i | 1.07967 | + | 0.755996i | 0.971239 | − | 0.238107i | \(-0.0765269\pi\) |
0.108436 | + | 0.994103i | \(0.465416\pi\) | |||||||
\(858\) | −1.73022 | + | 0.238062i | −0.0590686 | + | 0.00812729i | ||||
\(859\) | −7.57765 | − | 20.8194i | −0.258546 | − | 0.710349i | −0.999258 | − | 0.0385262i | \(-0.987734\pi\) |
0.740712 | − | 0.671823i | \(-0.234489\pi\) | |||||||
\(860\) | −4.02865 | + | 5.05279i | −0.137376 | + | 0.172299i | ||||
\(861\) | 3.22888 | + | 1.65699i | 0.110040 | + | 0.0564699i | ||||
\(862\) | 4.45283 | − | 1.19313i | 0.151664 | − | 0.0406382i | ||||
\(863\) | −1.73881 | + | 6.48934i | −0.0591899 | + | 0.220900i | −0.989185 | − | 0.146672i | \(-0.953144\pi\) |
0.929995 | + | 0.367571i | \(0.119811\pi\) | |||||||
\(864\) | −4.56636 | + | 2.47959i | −0.155351 | + | 0.0843574i | ||||
\(865\) | 0.122858 | + | 0.0668890i | 0.00417728 | + | 0.00227429i | ||||
\(866\) | 0.547569 | − | 0.316139i | 0.0186072 | − | 0.0107428i | ||||
\(867\) | −13.7420 | − | 26.0264i | −0.466703 | − | 0.883902i | ||||
\(868\) | 1.65474 | − | 0.144771i | 0.0561656 | − | 0.00491386i | ||||
\(869\) | 60.7023 | + | 22.0938i | 2.05919 | + | 0.749482i | ||||
\(870\) | 11.0625 | + | 6.57671i | 0.375055 | + | 0.222971i | ||||
\(871\) | 0.224704 | − | 0.188549i | 0.00761382 | − | 0.00638875i | ||||
\(872\) | −14.7610 | − | 10.3357i | −0.499870 | − | 0.350012i | ||||
\(873\) | −10.9619 | + | 31.2469i | −0.371004 | + | 1.05755i | ||||
\(874\) | 5.96226 | + | 1.58959i | 0.201677 | + | 0.0537687i | ||||
\(875\) | −2.43666 | − | 3.57166i | −0.0823742 | − | 0.120744i | ||||
\(876\) | 6.50234 | − | 2.73790i | 0.219694 | − | 0.0925049i | ||||
\(877\) | 12.7682 | + | 1.11708i | 0.431153 | + | 0.0377210i | 0.300667 | − | 0.953729i | \(-0.402791\pi\) |
0.130486 | + | 0.991450i | \(0.458346\pi\) | |||||||
\(878\) | 35.4375 | + | 16.5248i | 1.19596 | + | 0.557684i | ||||
\(879\) | −1.23454 | + | 9.81949i | −0.0416400 | + | 0.331203i | ||||
\(880\) | 9.07490 | + | 2.18972i | 0.305915 | + | 0.0738153i | ||||
\(881\) | −6.52795 | − | 3.76891i | −0.219932 | − | 0.126978i | 0.385987 | − | 0.922504i | \(-0.373861\pi\) |
−0.605919 | + | 0.795526i | \(0.707194\pi\) | |||||||
\(882\) | −20.1961 | + | 3.80454i | −0.680039 | + | 0.128106i | ||||
\(883\) | −27.2042 | − | 38.8516i | −0.915493 | − | 1.30746i | −0.951353 | − | 0.308103i | \(-0.900306\pi\) |
0.0358594 | − | 0.999357i | \(-0.488583\pi\) | |||||||
\(884\) | 0.00367862 | − | 0.0208625i | 0.000123725 | − | 0.000701681i | ||||
\(885\) | 2.59699 | − | 1.17086i | 0.0872970 | − | 0.0393581i | ||||
\(886\) | 16.2581 | − | 28.1598i | 0.546200 | − | 0.946047i | ||||
\(887\) | −18.9921 | + | 1.66160i | −0.637694 | + | 0.0557910i | −0.401418 | − | 0.915895i | \(-0.631482\pi\) |
−0.236276 | + | 0.971686i | \(0.575927\pi\) | |||||||
\(888\) | 14.7916 | − | 11.4877i | 0.496373 | − | 0.385501i | ||||
\(889\) | −2.74516 | − | 7.54227i | −0.0920698 | − | 0.252960i | ||||
\(890\) | −3.25473 | + | 1.27776i | −0.109099 | + | 0.0428305i | ||||
\(891\) | −18.0228 | + | 32.9695i | −0.603787 | + | 1.10452i | ||||
\(892\) | −4.71464 | − | 4.71464i | −0.157858 | − | 0.157858i | ||||
\(893\) | −0.603279 | − | 0.105596i | −0.0201879 | − | 0.00353364i | ||||
\(894\) | −15.8846 | + | 3.61885i | −0.531260 | + | 0.121032i | ||||
\(895\) | −37.7566 | + | 27.8714i | −1.26206 | + | 0.931637i | ||||
\(896\) | −0.248579 | − | 0.296245i | −0.00830445 | − | 0.00989685i | ||||
\(897\) | 0.578906 | + | 0.124803i | 0.0193291 | + | 0.00416703i | ||||
\(898\) | −24.5635 | + | 11.4542i | −0.819696 | + | 0.382230i | ||||
\(899\) | −10.9338 | − | 9.17454i | −0.364662 | − | 0.305988i | ||||
\(900\) | −11.2407 | − | 9.93209i | −0.374690 | − | 0.331070i | ||||
\(901\) | −0.338143 | − | 0.585681i | −0.0112652 | − | 0.0195119i | ||||
\(902\) | −12.9746 | − | 18.5296i | −0.432006 | − | 0.616968i | ||||
\(903\) | 1.29945 | − | 1.43481i | 0.0432430 | − | 0.0477476i | ||||
\(904\) | 13.9045 | − | 8.02775i | 0.462456 | − | 0.266999i | ||||
\(905\) | −2.59629 | − | 0.161789i | −0.0863037 | − | 0.00537804i | ||||
\(906\) | 9.28508 | + | 4.76489i | 0.308476 | + | 0.158303i | ||||
\(907\) | 11.7681 | + | 25.2368i | 0.390754 | + | 0.837974i | 0.999021 | + | 0.0442415i | \(0.0140871\pi\) |
−0.608267 | + | 0.793732i | \(0.708135\pi\) | |||||||
\(908\) | 3.82393 | + | 1.78313i | 0.126902 | + | 0.0591752i | ||||
\(909\) | −7.67384 | + | 16.9707i | −0.254525 | + | 0.562881i | ||||
\(910\) | −0.0311082 | + | 0.206527i | −0.00103123 | + | 0.00684631i | ||||
\(911\) | 12.2429i | 0.405624i | 0.979218 | + | 0.202812i | \(0.0650080\pi\) | ||||
−0.979218 | + | 0.202812i | \(0.934992\pi\) | |||||||
\(912\) | 0.382740 | + | 7.54013i | 0.0126738 | + | 0.249679i | ||||
\(913\) | 25.9597 | − | 25.9597i | 0.859142 | − | 0.859142i | ||||
\(914\) | 6.16481 | + | 34.9624i | 0.203914 | + | 1.15645i | ||||
\(915\) | 15.3634 | + | 22.5486i | 0.507897 | + | 0.745433i | ||||
\(916\) | −20.1263 | + | 7.32537i | −0.664991 | + | 0.242037i | ||||
\(917\) | −5.83682 | + | 2.72175i | −0.192749 | + | 0.0898802i | ||||
\(918\) | −0.313734 | − | 0.330578i | −0.0103548 | − | 0.0109107i | ||||
\(919\) | −34.4053 | − | 19.8639i | −1.13493 | − | 0.655250i | −0.189757 | − | 0.981831i | \(-0.560770\pi\) |
−0.945169 | + | 0.326581i | \(0.894103\pi\) | |||||||
\(920\) | −2.63758 | − | 1.75014i | −0.0869586 | − | 0.0577003i | ||||
\(921\) | 11.2554 | − | 0.557210i | 0.370878 | − | 0.0183607i | ||||
\(922\) | 12.7799 | − | 8.94859i | 0.420884 | − | 0.294706i | ||||
\(923\) | 0.323821 | − | 1.20852i | 0.0106587 | − | 0.0397788i | ||||
\(924\) | −2.67186 | − | 0.825332i | −0.0878977 | − | 0.0271514i | ||||
\(925\) | 45.7835 | + | 28.7551i | 1.50535 | + | 0.945462i | ||||
\(926\) | −8.19000 | + | 22.5018i | −0.269140 | + | 0.739456i | ||||
\(927\) | 47.7149 | − | 0.556613i | 1.56716 | − | 0.0182816i | ||||
\(928\) | −0.289617 | + | 3.31033i | −0.00950713 | + | 0.108667i | ||||
\(929\) | −4.73144 | − | 26.8333i | −0.155234 | − | 0.880373i | −0.958572 | − | 0.284850i | \(-0.908056\pi\) |
0.803338 | − | 0.595523i | \(-0.203055\pi\) | |||||||
\(930\) | 10.5295 | + | 12.8790i | 0.345275 | + | 0.422319i | ||||
\(931\) | −7.69235 | + | 28.8526i | −0.252107 | + | 0.945605i | ||||
\(932\) | −7.20237 | + | 7.20237i | −0.235921 | + | 0.235921i | ||||
\(933\) | −12.3265 | − | 5.02179i | −0.403552 | − | 0.164406i | ||||
\(934\) | −8.61404 | − | 10.2658i | −0.281860 | − | 0.335907i | ||||
\(935\) | 0.0204938 | + | 0.818543i | 0.000670219 | + | 0.0267692i | ||||
\(936\) | 0.0715671 | + | 0.721040i | 0.00233924 | + | 0.0235679i | ||||
\(937\) | −5.10956 | − | 58.4025i | −0.166922 | − | 1.90793i | −0.370443 | − | 0.928855i | \(-0.620794\pi\) |
0.203521 | − | 0.979071i | \(-0.434762\pi\) | |||||||
\(938\) | 0.453661 | − | 0.121558i | 0.0148126 | − | 0.00396901i | ||||
\(939\) | 22.7384 | + | 24.5258i | 0.742039 | + | 0.800371i | ||||
\(940\) | 0.275935 | + | 0.150231i | 0.00900000 | + | 0.00489999i | ||||
\(941\) | 38.7934 | + | 6.84033i | 1.26463 | + | 0.222988i | 0.765441 | − | 0.643506i | \(-0.222521\pi\) |
0.499188 | + | 0.866494i | \(0.333632\pi\) | |||||||
\(942\) | 0.979555 | − | 25.9013i | 0.0319156 | − | 0.843908i | ||||
\(943\) | 1.98517 | + | 7.40875i | 0.0646460 | + | 0.241262i | ||||
\(944\) | 0.563457 | + | 0.472796i | 0.0183389 | + | 0.0153882i | ||||
\(945\) | 3.17372 | + | 3.18074i | 0.103241 | + | 0.103469i | ||||
\(946\) | −11.3378 | + | 4.12663i | −0.368625 | + | 0.134168i | ||||
\(947\) | −1.13014 | + | 12.9176i | −0.0367246 | + | 0.419765i | 0.955472 | + | 0.295082i | \(0.0953469\pi\) |
−0.992197 | + | 0.124683i | \(0.960209\pi\) | |||||||
\(948\) | 10.1113 | − | 24.8194i | 0.328401 | − | 0.806095i | ||||
\(949\) | − | 0.983826i | − | 0.0319363i | ||||||
\(950\) | −20.0708 | + | 8.49481i | −0.651184 | + | 0.275608i | ||||
\(951\) | −46.6267 | + | 10.6226i | −1.51198 | + | 0.344461i | ||||
\(952\) | 0.0194552 | − | 0.0277849i | 0.000630547 | − | 0.000900514i | ||||
\(953\) | 11.4656 | + | 1.00311i | 0.371407 | + | 0.0324939i | 0.271331 | − | 0.962486i | \(-0.412536\pi\) |
0.100075 | + | 0.994980i | \(0.468092\pi\) | |||||||
\(954\) | 16.5461 | + | 16.1646i | 0.535701 | + | 0.523347i | ||||
\(955\) | −15.3559 | + | 1.73173i | −0.496907 | + | 0.0560375i | ||||
\(956\) | −10.8741 | + | 12.9593i | −0.351694 | + | 0.419133i | ||||
\(957\) | 11.2194 | + | 21.2488i | 0.362672 | + | 0.686876i | ||||
\(958\) | −15.8772 | − | 4.25428i | −0.512969 | − | 0.137450i | ||||
\(959\) | −0.725168 | + | 4.11263i | −0.0234169 | + | 0.132804i | ||||
\(960\) | 1.05009 | − | 3.72791i | 0.0338915 | − | 0.120318i | ||||
\(961\) | 6.27538 | + | 10.8693i | 0.202432 | + | 0.350622i | ||||
\(962\) | −0.675937 | − | 2.52263i | −0.0217931 | − | 0.0813329i | ||||
\(963\) | −1.35646 | − | 2.28741i | −0.0437112 | − | 0.0737108i | ||||
\(964\) | −3.66868 | + | 10.0796i | −0.118160 | + | 0.324642i | ||||
\(965\) | 14.8021 | − | 0.370600i | 0.476498 | − | 0.0119300i | ||||
\(966\) | 0.755617 | + | 0.572834i | 0.0243116 | + | 0.0184306i | ||||
\(967\) | −11.8408 | + | 16.9105i | −0.380776 | + | 0.543804i | −0.963097 | − | 0.269155i | \(-0.913256\pi\) |
0.582321 | + | 0.812959i | \(0.302145\pi\) | |||||||
\(968\) | 4.54651 | + | 4.54651i | 0.146130 | + | 0.146130i | ||||
\(969\) | −0.630119 | + | 0.203594i | −0.0202423 | + | 0.00654038i | ||||
\(970\) | −10.9875 | − | 22.1011i | −0.352789 | − | 0.709624i | ||||
\(971\) | −47.5183 | + | 8.37876i | −1.52494 | + | 0.268887i | −0.872370 | − | 0.488846i | \(-0.837418\pi\) |
−0.652565 | + | 0.757733i | \(0.726307\pi\) | |||||||
\(972\) | 13.3858 | + | 7.98877i | 0.429350 | + | 0.256240i | ||||
\(973\) | 0.956910 | − | 2.05210i | 0.0306771 | − | 0.0657873i | ||||
\(974\) | 24.5481 | + | 8.93478i | 0.786572 | + | 0.286289i | ||||
\(975\) | −1.88473 | + | 0.907166i | −0.0603598 | + | 0.0290526i | ||||
\(976\) | −3.52248 | + | 6.10111i | −0.112752 | + | 0.195292i | ||||
\(977\) | −42.2564 | − | 11.3226i | −1.35190 | − | 0.362241i | −0.491066 | − | 0.871122i | \(-0.663393\pi\) |
−0.860837 | + | 0.508881i | \(0.830059\pi\) | |||||||
\(978\) | 16.4090 | + | 14.8610i | 0.524703 | + | 0.475202i | ||||
\(979\) | −6.42914 | − | 1.13363i | −0.205476 | − | 0.0362310i | ||||
\(980\) | 8.46927 | − | 12.7638i | 0.270541 | − | 0.407725i | ||||
\(981\) | −4.08309 | + | 53.9050i | −0.130363 | + | 1.72106i | ||||
\(982\) | −1.60955 | − | 18.3972i | −0.0513627 | − | 0.587079i | ||||
\(983\) | −11.0668 | − | 23.7329i | −0.352977 | − | 0.756961i | 0.647008 | − | 0.762483i | \(-0.276020\pi\) |
−0.999985 | + | 0.00552231i | \(0.998242\pi\) | |||||||
\(984\) | −7.88537 | + | 5.08843i | −0.251376 | + | 0.162213i | ||||
\(985\) | 35.5937 | − | 13.9735i | 1.13411 | − | 0.445233i | ||||
\(986\) | −0.287029 | + | 0.0506110i | −0.00914087 | + | 0.00161178i | ||||
\(987\) | −0.0796681 | − | 0.0501033i | −0.00253586 | − | 0.00159481i | ||||
\(988\) | 0.989753 | + | 0.358839i | 0.0314882 | + | 0.0114162i | ||||
\(989\) | 4.09114 | 0.130091 | ||||||||
\(990\) | −8.23610 | − | 26.7676i | −0.261760 | − | 0.850730i | ||||
\(991\) | 9.46615 | − | 7.94304i | 0.300702 | − | 0.252319i | −0.479934 | − | 0.877304i | \(-0.659340\pi\) |
0.780636 | + | 0.624985i | \(0.214895\pi\) | |||||||
\(992\) | −1.81525 | + | 3.89283i | −0.0576344 | + | 0.123597i | ||||
\(993\) | 19.0158 | + | 24.4848i | 0.603448 | + | 0.777003i | ||||
\(994\) | 1.28768 | − | 1.53459i | 0.0408426 | − | 0.0486743i | ||||
\(995\) | 0.398738 | − | 6.39872i | 0.0126408 | − | 0.202853i | ||||
\(996\) | −10.3553 | − | 11.1693i | −0.328120 | − | 0.353913i | ||||
\(997\) | −15.9007 | + | 11.1338i | −0.503579 | + | 0.352610i | −0.797598 | − | 0.603190i | \(-0.793896\pi\) |
0.294019 | + | 0.955800i | \(0.405007\pi\) | |||||||
\(998\) | −8.60578 | + | 6.02583i | −0.272411 | + | 0.190744i | ||||
\(999\) | −52.2770 | − | 20.5898i | −1.65397 | − | 0.651432i |
(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 | 570.2.bi.a.47.40 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.47.1 | yes | 480 | |
5.3 | odd | 4 | inner | 570.2.bi.a.503.31 | yes | 480 | |
15.8 | even | 4 | inner | 570.2.bi.a.503.12 | yes | 480 | |
19.17 | even | 9 | inner | 570.2.bi.a.17.12 | ✓ | 480 | |
57.17 | odd | 18 | inner | 570.2.bi.a.17.31 | yes | 480 | |
95.93 | odd | 36 | inner | 570.2.bi.a.473.1 | yes | 480 | |
285.188 | even | 36 | inner | 570.2.bi.a.473.40 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.17.12 | ✓ | 480 | 19.17 | even | 9 | inner | |
570.2.bi.a.17.31 | yes | 480 | 57.17 | odd | 18 | inner | |
570.2.bi.a.47.1 | yes | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.47.40 | yes | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.473.1 | yes | 480 | 95.93 | odd | 36 | inner | |
570.2.bi.a.473.40 | yes | 480 | 285.188 | even | 36 | inner | |
570.2.bi.a.503.12 | yes | 480 | 15.8 | even | 4 | inner | |
570.2.bi.a.503.31 | yes | 480 | 5.3 | odd | 4 | inner |