Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(19,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bs (of order \(12\), degree \(4\), 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: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.8 | ||
Character | \(\chi\) | \(=\) | 336.19 |
Dual form | 336.2.bs.a.283.8 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.09426 | + | 0.895880i | −0.773757 | + | 0.633483i | ||||
\(3\) | 0.258819 | − | 0.965926i | 0.149429 | − | 0.557678i | ||||
\(4\) | 0.394798 | − | 1.96065i | 0.197399 | − | 0.980323i | ||||
\(5\) | −2.90593 | + | 0.778643i | −1.29957 | + | 0.348220i | −0.841289 | − | 0.540586i | \(-0.818203\pi\) |
−0.458285 | + | 0.888805i | \(0.651536\pi\) | |||||||
\(6\) | 0.582139 | + | 1.28884i | 0.237657 | + | 0.526168i | ||||
\(7\) | 2.58569 | + | 0.560554i | 0.977298 | + | 0.211869i | ||||
\(8\) | 1.32449 | + | 2.49914i | 0.468279 | + | 0.883581i | ||||
\(9\) | −0.866025 | − | 0.500000i | −0.288675 | − | 0.166667i | ||||
\(10\) | 2.48227 | − | 3.45540i | 0.784963 | − | 1.09269i | ||||
\(11\) | −0.213523 | + | 0.796878i | −0.0643795 | + | 0.240268i | −0.990616 | − | 0.136676i | \(-0.956358\pi\) |
0.926236 | + | 0.376943i | \(0.123025\pi\) | |||||||
\(12\) | −1.79166 | − | 0.888798i | −0.517207 | − | 0.256574i | ||||
\(13\) | 1.43628 | − | 1.43628i | 0.398353 | − | 0.398353i | −0.479299 | − | 0.877652i | \(-0.659109\pi\) |
0.877652 | + | 0.479299i | \(0.159109\pi\) | |||||||
\(14\) | −3.33160 | + | 1.70308i | −0.890407 | + | 0.455166i | ||||
\(15\) | 3.00845i | 0.776777i | ||||||||
\(16\) | −3.68827 | − | 1.54812i | −0.922067 | − | 0.387030i | ||||
\(17\) | 6.92432 | − | 3.99776i | 1.67940 | − | 0.969599i | 0.717348 | − | 0.696715i | \(-0.245356\pi\) |
0.962047 | − | 0.272884i | \(-0.0879776\pi\) | |||||||
\(18\) | 1.39559 | − | 0.228726i | 0.328945 | − | 0.0539113i | ||||
\(19\) | 5.11403 | − | 1.37030i | 1.17324 | − | 0.314368i | 0.380998 | − | 0.924576i | \(-0.375581\pi\) |
0.792242 | + | 0.610208i | \(0.208914\pi\) | |||||||
\(20\) | 0.379386 | + | 6.00492i | 0.0848334 | + | 1.34274i | ||||
\(21\) | 1.21068 | − | 2.35250i | 0.264192 | − | 0.513358i | ||||
\(22\) | −0.480258 | − | 1.06328i | −0.102391 | − | 0.226692i | ||||
\(23\) | 2.40531 | − | 4.16612i | 0.501542 | − | 0.868697i | −0.498456 | − | 0.866915i | \(-0.666099\pi\) |
0.999998 | − | 0.00178199i | \(-0.000567224\pi\) | |||||||
\(24\) | 2.75679 | − | 0.632537i | 0.562728 | − | 0.129116i | ||||
\(25\) | 3.50805 | − | 2.02537i | 0.701609 | − | 0.405074i | ||||
\(26\) | −0.284926 | + | 2.85840i | −0.0558785 | + | 0.560578i | ||||
\(27\) | −0.707107 | + | 0.707107i | −0.136083 | + | 0.136083i | ||||
\(28\) | 2.11987 | − | 4.84831i | 0.400618 | − | 0.916245i | ||||
\(29\) | −3.35248 | − | 3.35248i | −0.622539 | − | 0.622539i | 0.323641 | − | 0.946180i | \(-0.395093\pi\) |
−0.946180 | + | 0.323641i | \(0.895093\pi\) | |||||||
\(30\) | −2.69521 | − | 3.29201i | −0.492075 | − | 0.601037i | ||||
\(31\) | 0.102170 | + | 0.176964i | 0.0183503 | + | 0.0317837i | 0.875055 | − | 0.484024i | \(-0.160825\pi\) |
−0.856704 | + | 0.515808i | \(0.827492\pi\) | |||||||
\(32\) | 5.42284 | − | 1.61021i | 0.958632 | − | 0.284647i | ||||
\(33\) | 0.714461 | + | 0.412494i | 0.124372 | + | 0.0718060i | ||||
\(34\) | −3.99548 | + | 10.5779i | −0.685219 | + | 1.81410i | ||||
\(35\) | −7.95031 | + | 0.384394i | −1.34385 | + | 0.0649745i | ||||
\(36\) | −1.32223 | + | 1.50057i | −0.220371 | + | 0.250095i | ||||
\(37\) | 1.86150 | + | 6.94722i | 0.306029 | + | 1.14212i | 0.932056 | + | 0.362315i | \(0.118013\pi\) |
−0.626027 | + | 0.779802i | \(0.715320\pi\) | |||||||
\(38\) | −4.36844 | + | 6.08102i | −0.708655 | + | 0.986472i | ||||
\(39\) | −1.01560 | − | 1.75908i | −0.162627 | − | 0.281678i | ||||
\(40\) | −5.79483 | − | 6.23104i | −0.916243 | − | 0.985214i | ||||
\(41\) | 10.6633 | 1.66532 | 0.832661 | − | 0.553783i | \(-0.186816\pi\) | ||||
0.832661 | + | 0.553783i | \(0.186816\pi\) | |||||||
\(42\) | 0.782764 | + | 3.65886i | 0.120783 | + | 0.564575i | ||||
\(43\) | −5.29413 | − | 5.29413i | −0.807348 | − | 0.807348i | 0.176884 | − | 0.984232i | \(-0.443398\pi\) |
−0.984232 | + | 0.176884i | \(0.943398\pi\) | |||||||
\(44\) | 1.47810 | + | 0.733248i | 0.222832 | + | 0.110541i | ||||
\(45\) | 2.90593 | + | 0.778643i | 0.433191 | + | 0.116073i | ||||
\(46\) | 1.10032 | + | 6.71368i | 0.162233 | + | 0.989879i | ||||
\(47\) | −5.93316 | + | 10.2765i | −0.865440 | + | 1.49899i | 0.00116919 | + | 0.999999i | \(0.499628\pi\) |
−0.866609 | + | 0.498987i | \(0.833705\pi\) | |||||||
\(48\) | −2.44996 | + | 3.16191i | −0.353622 | + | 0.456383i | ||||
\(49\) | 6.37156 | + | 2.89883i | 0.910223 | + | 0.414119i | ||||
\(50\) | −2.02422 | + | 5.35907i | −0.286267 | + | 0.757886i | ||||
\(51\) | −2.06939 | − | 7.72308i | −0.289773 | − | 1.08145i | ||||
\(52\) | −2.24900 | − | 3.38308i | −0.311880 | − | 0.469149i | ||||
\(53\) | 4.14644 | + | 1.11103i | 0.569557 | + | 0.152612i | 0.532093 | − | 0.846686i | \(-0.321405\pi\) |
0.0374636 | + | 0.999298i | \(0.488072\pi\) | |||||||
\(54\) | 0.140274 | − | 1.40724i | 0.0190889 | − | 0.191501i | ||||
\(55\) | − | 2.48193i | − | 0.334664i | ||||||
\(56\) | 2.02382 | + | 7.20445i | 0.270445 | + | 0.962736i | ||||
\(57\) | − | 5.29443i | − | 0.701265i | ||||||
\(58\) | 6.67189 | + | 0.665055i | 0.876062 | + | 0.0873260i | ||||
\(59\) | 0.574282 | + | 0.153878i | 0.0747651 | + | 0.0200332i | 0.296008 | − | 0.955186i | \(-0.404345\pi\) |
−0.221243 | + | 0.975219i | \(0.571011\pi\) | |||||||
\(60\) | 5.89850 | + | 1.18773i | 0.761493 | + | 0.153335i | ||||
\(61\) | 1.95578 | + | 7.29906i | 0.250412 | + | 0.934549i | 0.970586 | + | 0.240756i | \(0.0773953\pi\) |
−0.720174 | + | 0.693793i | \(0.755938\pi\) | |||||||
\(62\) | −0.270339 | − | 0.102112i | −0.0343331 | − | 0.0129682i | ||||
\(63\) | −1.95899 | − | 1.77830i | −0.246810 | − | 0.224044i | ||||
\(64\) | −4.49143 | + | 6.62020i | −0.561429 | + | 0.827525i | ||||
\(65\) | −3.05539 | + | 5.29209i | −0.378975 | + | 0.656403i | ||||
\(66\) | −1.15135 | + | 0.188697i | −0.141721 | + | 0.0232269i | ||||
\(67\) | −8.16653 | − | 2.18821i | −0.997700 | − | 0.267333i | −0.277218 | − | 0.960807i | \(-0.589413\pi\) |
−0.720482 | + | 0.693474i | \(0.756079\pi\) | |||||||
\(68\) | −5.10449 | − | 15.1545i | −0.619010 | − | 1.83775i | ||||
\(69\) | −3.40163 | − | 3.40163i | −0.409508 | − | 0.409508i | ||||
\(70\) | 8.35531 | − | 7.54315i | 0.998651 | − | 0.901579i | ||||
\(71\) | −6.26893 | −0.743985 | −0.371993 | − | 0.928236i | \(-0.621325\pi\) | ||||
−0.371993 | + | 0.928236i | \(0.621325\pi\) | |||||||
\(72\) | 0.102527 | − | 2.82657i | 0.0120829 | − | 0.333114i | ||||
\(73\) | −6.59181 | − | 11.4173i | −0.771513 | − | 1.33630i | −0.936734 | − | 0.350043i | \(-0.886167\pi\) |
0.165221 | − | 0.986257i | \(-0.447166\pi\) | |||||||
\(74\) | −8.26084 | − | 5.93436i | −0.960303 | − | 0.689856i | ||||
\(75\) | −1.04841 | − | 3.91272i | −0.121060 | − | 0.451802i | ||||
\(76\) | −0.667666 | − | 10.5678i | −0.0765865 | − | 1.21221i | ||||
\(77\) | −0.998796 | + | 1.94079i | −0.113823 | + | 0.221173i | ||||
\(78\) | 2.68726 | + | 1.01503i | 0.304272 | + | 0.114929i | ||||
\(79\) | −0.734113 | − | 0.423840i | −0.0825942 | − | 0.0476858i | 0.458134 | − | 0.888883i | \(-0.348518\pi\) |
−0.540728 | + | 0.841197i | \(0.681851\pi\) | |||||||
\(80\) | 11.9233 | + | 1.62689i | 1.33307 | + | 0.181891i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | −11.6684 | + | 9.55300i | −1.28855 | + | 1.05495i | ||||
\(83\) | 2.65369 | + | 2.65369i | 0.291280 | + | 0.291280i | 0.837586 | − | 0.546306i | \(-0.183966\pi\) |
−0.546306 | + | 0.837586i | \(0.683966\pi\) | |||||||
\(84\) | −4.13445 | − | 3.30247i | −0.451105 | − | 0.360330i | ||||
\(85\) | −17.0088 | + | 17.0088i | −1.84486 | + | 1.84486i | ||||
\(86\) | 10.5361 | + | 1.05024i | 1.13613 | + | 0.113250i | ||||
\(87\) | −4.10593 | + | 2.37056i | −0.440202 | + | 0.254151i | ||||
\(88\) | −2.27432 | + | 0.521836i | −0.242443 | + | 0.0556279i | ||||
\(89\) | 6.31617 | − | 10.9399i | 0.669513 | − | 1.15963i | −0.308527 | − | 0.951215i | \(-0.599836\pi\) |
0.978040 | − | 0.208415i | \(-0.0668305\pi\) | |||||||
\(90\) | −3.87741 | + | 1.75133i | −0.408715 | + | 0.184607i | ||||
\(91\) | 4.51889 | − | 2.90866i | 0.473708 | − | 0.304911i | ||||
\(92\) | −7.21868 | − | 6.36075i | −0.752600 | − | 0.663154i | ||||
\(93\) | 0.197378 | − | 0.0528873i | 0.0204671 | − | 0.00548416i | ||||
\(94\) | −2.71414 | − | 16.5606i | −0.279942 | − | 1.70809i | ||||
\(95\) | −13.7941 | + | 7.96401i | −1.41524 | + | 0.817090i | ||||
\(96\) | −0.151805 | − | 5.65482i | −0.0154936 | − | 0.577142i | ||||
\(97\) | 4.83350i | 0.490767i | 0.969426 | + | 0.245384i | \(0.0789139\pi\) | ||||
−0.969426 | + | 0.245384i | \(0.921086\pi\) | |||||||
\(98\) | −9.56913 | + | 2.53608i | −0.966628 | + | 0.256183i | ||||
\(99\) | 0.583355 | − | 0.583355i | 0.0586294 | − | 0.0586294i | ||||
\(100\) | −2.58607 | − | 7.67765i | −0.258607 | − | 0.767765i | ||||
\(101\) | 0.593944 | − | 2.21663i | 0.0590996 | − | 0.220563i | −0.930060 | − | 0.367408i | \(-0.880245\pi\) |
0.989159 | + | 0.146845i | \(0.0469119\pi\) | |||||||
\(102\) | 9.18340 | + | 6.59711i | 0.909292 | + | 0.653211i | ||||
\(103\) | 0.775598 | + | 0.447791i | 0.0764219 | + | 0.0441222i | 0.537724 | − | 0.843121i | \(-0.319284\pi\) |
−0.461302 | + | 0.887243i | \(0.652618\pi\) | |||||||
\(104\) | 5.49182 | + | 1.68713i | 0.538517 | + | 0.165437i | ||||
\(105\) | −1.68640 | + | 7.77890i | −0.164575 | + | 0.759143i | ||||
\(106\) | −5.53262 | + | 2.49895i | −0.537376 | + | 0.242720i | ||||
\(107\) | −9.71591 | + | 2.60337i | −0.939272 | + | 0.251677i | −0.695804 | − | 0.718232i | \(-0.744952\pi\) |
−0.243468 | + | 0.969909i | \(0.578285\pi\) | |||||||
\(108\) | 1.10722 | + | 1.66555i | 0.106543 | + | 0.160268i | ||||
\(109\) | 2.02159 | − | 7.54466i | 0.193633 | − | 0.722647i | −0.798984 | − | 0.601353i | \(-0.794629\pi\) |
0.992617 | − | 0.121295i | \(-0.0387046\pi\) | |||||||
\(110\) | 2.22351 | + | 2.71587i | 0.212004 | + | 0.258948i | ||||
\(111\) | 7.19229 | 0.682662 | ||||||||
\(112\) | −8.66891 | − | 6.07042i | −0.819135 | − | 0.573601i | ||||
\(113\) | −14.3851 | −1.35324 | −0.676619 | − | 0.736333i | \(-0.736556\pi\) | ||||
−0.676619 | + | 0.736333i | \(0.736556\pi\) | |||||||
\(114\) | 4.74318 | + | 5.79347i | 0.444239 | + | 0.542608i | ||||
\(115\) | −3.74576 | + | 13.9794i | −0.349294 | + | 1.30358i | ||||
\(116\) | −7.89657 | + | 5.24947i | −0.733178 | + | 0.487401i | ||||
\(117\) | −1.96200 | + | 0.525716i | −0.181387 | + | 0.0486024i | ||||
\(118\) | −0.766268 | + | 0.346105i | −0.0705407 | + | 0.0318615i | ||||
\(119\) | 20.1451 | − | 6.45550i | 1.84670 | − | 0.591775i | ||||
\(120\) | −7.51854 | + | 3.98467i | −0.686345 | + | 0.363749i | ||||
\(121\) | 8.93686 | + | 5.15970i | 0.812442 | + | 0.469063i | ||||
\(122\) | −8.67921 | − | 6.23491i | −0.785779 | − | 0.564482i | ||||
\(123\) | 2.75985 | − | 10.2999i | 0.248848 | − | 0.928712i | ||||
\(124\) | 0.387301 | − | 0.130455i | 0.0347807 | − | 0.0117152i | ||||
\(125\) | 2.01935 | − | 2.01935i | 0.180616 | − | 0.180616i | ||||
\(126\) | 3.73678 | + | 0.190891i | 0.332899 | + | 0.0170059i | ||||
\(127\) | − | 4.48244i | − | 0.397752i | −0.980025 | − | 0.198876i | \(-0.936271\pi\) | ||
0.980025 | − | 0.198876i | \(-0.0637292\pi\) | |||||||
\(128\) | −1.01612 | − | 11.2680i | −0.0898131 | − | 0.995959i | ||||
\(129\) | −6.48396 | + | 3.74352i | −0.570881 | + | 0.329598i | ||||
\(130\) | −1.39770 | − | 8.52818i | −0.122586 | − | 0.747971i | ||||
\(131\) | 8.30684 | − | 2.22581i | 0.725772 | − | 0.194470i | 0.123026 | − | 0.992403i | \(-0.460740\pi\) |
0.602745 | + | 0.797934i | \(0.294073\pi\) | |||||||
\(132\) | 1.09082 | − | 1.23795i | 0.0949440 | − | 0.107750i | ||||
\(133\) | 13.9914 | − | 0.676479i | 1.21321 | − | 0.0586582i | ||||
\(134\) | 10.8967 | − | 4.92176i | 0.941328 | − | 0.425175i | ||||
\(135\) | 1.50422 | − | 2.60539i | 0.129463 | − | 0.224236i | ||||
\(136\) | 19.1622 | + | 12.0099i | 1.64314 | + | 1.02984i | ||||
\(137\) | −2.61585 | + | 1.51026i | −0.223487 | + | 0.129030i | −0.607564 | − | 0.794271i | \(-0.707853\pi\) |
0.384077 | + | 0.923301i | \(0.374520\pi\) | |||||||
\(138\) | 6.76970 | + | 0.674805i | 0.576275 | + | 0.0574432i | ||||
\(139\) | −4.54932 | + | 4.54932i | −0.385869 | + | 0.385869i | −0.873211 | − | 0.487342i | \(-0.837966\pi\) |
0.487342 | + | 0.873211i | \(0.337966\pi\) | |||||||
\(140\) | −2.38510 | + | 15.7395i | −0.201578 | + | 1.33023i | ||||
\(141\) | 8.39075 | + | 8.39075i | 0.706629 | + | 0.706629i | ||||
\(142\) | 6.85982 | − | 5.61621i | 0.575664 | − | 0.471302i | ||||
\(143\) | 0.837862 | + | 1.45122i | 0.0700656 | + | 0.121357i | ||||
\(144\) | 2.42008 | + | 3.18484i | 0.201673 | + | 0.265404i | ||||
\(145\) | 12.3525 | + | 7.13169i | 1.02582 | + | 0.592255i | ||||
\(146\) | 17.4417 | + | 6.58805i | 1.44349 | + | 0.545231i | ||||
\(147\) | 4.44914 | − | 5.40418i | 0.366959 | − | 0.445729i | ||||
\(148\) | 14.3560 | − | 0.906999i | 1.18005 | − | 0.0745549i | ||||
\(149\) | 0.740826 | + | 2.76480i | 0.0606908 | + | 0.226501i | 0.989609 | − | 0.143783i | \(-0.0459269\pi\) |
−0.928918 | + | 0.370285i | \(0.879260\pi\) | |||||||
\(150\) | 4.65255 | + | 3.34227i | 0.379880 | + | 0.272895i | ||||
\(151\) | 6.65151 | + | 11.5207i | 0.541292 | + | 0.937545i | 0.998830 | + | 0.0483553i | \(0.0153980\pi\) |
−0.457538 | + | 0.889190i | \(0.651269\pi\) | |||||||
\(152\) | 10.1981 | + | 10.9657i | 0.827173 | + | 0.889439i | ||||
\(153\) | −7.99552 | −0.646399 | ||||||||
\(154\) | −0.645772 | − | 3.01852i | −0.0520378 | − | 0.243239i | ||||
\(155\) | −0.434693 | − | 0.434693i | −0.0349153 | − | 0.0349153i | ||||
\(156\) | −3.84989 | + | 1.29676i | −0.308238 | + | 0.103824i | ||||
\(157\) | −5.68784 | − | 1.52405i | −0.453939 | − | 0.121633i | 0.0246031 | − | 0.999697i | \(-0.492168\pi\) |
−0.478542 | + | 0.878065i | \(0.658834\pi\) | |||||||
\(158\) | 1.18302 | − | 0.193887i | 0.0941159 | − | 0.0154248i | ||||
\(159\) | 2.14635 | − | 3.71759i | 0.170217 | − | 0.294824i | ||||
\(160\) | −14.5047 | + | 8.90162i | −1.14669 | + | 0.703735i | ||||
\(161\) | 8.55472 | − | 9.42399i | 0.674207 | − | 0.742714i | ||||
\(162\) | −1.32298 | − | 0.499715i | −0.103943 | − | 0.0392613i | ||||
\(163\) | 3.97705 | + | 14.8425i | 0.311506 | + | 1.16256i | 0.927198 | + | 0.374571i | \(0.122210\pi\) |
−0.615692 | + | 0.787987i | \(0.711123\pi\) | |||||||
\(164\) | 4.20983 | − | 20.9069i | 0.328733 | − | 1.63255i | ||||
\(165\) | −2.39736 | − | 0.642371i | −0.186634 | − | 0.0500086i | ||||
\(166\) | −5.28120 | − | 0.526431i | −0.409901 | − | 0.0408590i | ||||
\(167\) | 18.1624i | 1.40545i | 0.711463 | + | 0.702724i | \(0.248033\pi\) | ||||
−0.711463 | + | 0.702724i | \(0.751967\pi\) | |||||||
\(168\) | 7.48277 | − | 0.0902124i | 0.577308 | − | 0.00696004i | ||||
\(169\) | 8.87419i | 0.682630i | ||||||||
\(170\) | 3.37416 | − | 33.8499i | 0.258786 | − | 2.59617i | ||||
\(171\) | −5.11403 | − | 1.37030i | −0.391080 | − | 0.104789i | ||||
\(172\) | −12.4700 | + | 8.28981i | −0.950831 | + | 0.632092i | ||||
\(173\) | −3.02894 | − | 11.3042i | −0.230286 | − | 0.859439i | −0.980217 | − | 0.197923i | \(-0.936580\pi\) |
0.749932 | − | 0.661515i | \(-0.230086\pi\) | |||||||
\(174\) | 2.36920 | − | 6.27242i | 0.179609 | − | 0.475511i | ||||
\(175\) | 10.2060 | − | 3.27053i | 0.771504 | − | 0.247229i | ||||
\(176\) | 2.02119 | − | 2.60854i | 0.152353 | − | 0.196626i | ||||
\(177\) | 0.297270 | − | 0.514887i | 0.0223442 | − | 0.0387013i | ||||
\(178\) | 2.88935 | + | 17.6296i | 0.216566 | + | 1.32140i | ||||
\(179\) | −17.0599 | − | 4.57119i | −1.27512 | − | 0.341667i | −0.443128 | − | 0.896458i | \(-0.646131\pi\) |
−0.831989 | + | 0.554792i | \(0.812798\pi\) | |||||||
\(180\) | 2.67390 | − | 5.39010i | 0.199301 | − | 0.401755i | ||||
\(181\) | −2.96966 | − | 2.96966i | −0.220733 | − | 0.220733i | 0.588074 | − | 0.808807i | \(-0.299886\pi\) |
−0.808807 | + | 0.588074i | \(0.799886\pi\) | |||||||
\(182\) | −2.33902 | + | 7.23121i | −0.173379 | + | 0.536013i | ||||
\(183\) | 7.55655 | 0.558596 | ||||||||
\(184\) | 13.5976 | + | 0.493217i | 1.00243 | + | 0.0363604i | ||||
\(185\) | −10.8188 | − | 18.7387i | −0.795415 | − | 1.37770i | ||||
\(186\) | −0.168602 | + | 0.234699i | −0.0123625 | + | 0.0172090i | ||||
\(187\) | 1.70723 | + | 6.37145i | 0.124845 | + | 0.465927i | ||||
\(188\) | 17.8062 | + | 15.6900i | 1.29865 | + | 1.14431i | ||||
\(189\) | −2.22473 | + | 1.43199i | −0.161825 | + | 0.104162i | ||||
\(190\) | 7.95946 | − | 21.0725i | 0.577440 | − | 1.52876i | ||||
\(191\) | −2.42278 | − | 1.39879i | −0.175306 | − | 0.101213i | 0.409779 | − | 0.912185i | \(-0.365606\pi\) |
−0.585085 | + | 0.810972i | \(0.698939\pi\) | |||||||
\(192\) | 5.23215 | + | 6.05183i | 0.377598 | + | 0.436753i | ||||
\(193\) | 2.99529 | + | 5.18799i | 0.215606 | + | 0.373440i | 0.953460 | − | 0.301520i | \(-0.0974941\pi\) |
−0.737854 | + | 0.674960i | \(0.764161\pi\) | |||||||
\(194\) | −4.33023 | − | 5.28909i | −0.310893 | − | 0.379734i | ||||
\(195\) | 4.32098 | + | 4.32098i | 0.309432 | + | 0.309432i | ||||
\(196\) | 8.19907 | − | 11.3479i | 0.585648 | − | 0.810566i | ||||
\(197\) | 4.27534 | − | 4.27534i | 0.304605 | − | 0.304605i | −0.538207 | − | 0.842813i | \(-0.680898\pi\) |
0.842813 | + | 0.538207i | \(0.180898\pi\) | |||||||
\(198\) | −0.115724 | + | 1.16096i | −0.00822417 | + | 0.0825056i | ||||
\(199\) | −16.3250 | + | 9.42522i | −1.15725 | + | 0.668136i | −0.950642 | − | 0.310289i | \(-0.899574\pi\) |
−0.206603 | + | 0.978425i | \(0.566241\pi\) | |||||||
\(200\) | 9.70808 | + | 6.08452i | 0.686465 | + | 0.430240i | ||||
\(201\) | −4.22731 | + | 7.32191i | −0.298171 | + | 0.516448i | ||||
\(202\) | 1.33591 | + | 2.95767i | 0.0939941 | + | 0.208101i | ||||
\(203\) | −6.78921 | − | 10.5477i | −0.476509 | − | 0.740303i | ||||
\(204\) | −15.9592 | + | 1.00829i | −1.11737 | + | 0.0705946i | ||||
\(205\) | −30.9867 | + | 8.30287i | −2.16421 | + | 0.579898i | ||||
\(206\) | −1.24987 | + | 0.204843i | −0.0870826 | + | 0.0142721i | ||||
\(207\) | −4.16612 | + | 2.40531i | −0.289566 | + | 0.167181i | ||||
\(208\) | −7.52093 | + | 3.07386i | −0.521483 | + | 0.213134i | ||||
\(209\) | 4.36785i | 0.302130i | ||||||||
\(210\) | −5.12361 | − | 10.0229i | −0.353563 | − | 0.691648i | ||||
\(211\) | 6.09216 | − | 6.09216i | 0.419402 | − | 0.419402i | −0.465596 | − | 0.884997i | \(-0.654160\pi\) |
0.884997 | + | 0.465596i | \(0.154160\pi\) | |||||||
\(212\) | 3.81535 | − | 7.69107i | 0.262039 | − | 0.528225i | ||||
\(213\) | −1.62252 | + | 6.05532i | −0.111173 | + | 0.414904i | ||||
\(214\) | 8.29940 | − | 11.5530i | 0.567335 | − | 0.789750i | ||||
\(215\) | 19.5066 | + | 11.2622i | 1.33034 | + | 0.768073i | ||||
\(216\) | −2.70372 | − | 0.830603i | −0.183965 | − | 0.0565154i | ||||
\(217\) | 0.164983 | + | 0.514846i | 0.0111998 | + | 0.0349500i | ||||
\(218\) | 4.54698 | + | 10.0669i | 0.307960 | + | 0.681816i | ||||
\(219\) | −12.7344 | + | 3.41217i | −0.860511 | + | 0.230573i | ||||
\(220\) | −4.86619 | − | 0.979862i | −0.328079 | − | 0.0660623i | ||||
\(221\) | 4.20337 | − | 15.6872i | 0.282749 | − | 1.05523i | ||||
\(222\) | −7.87022 | + | 6.44343i | −0.528214 | + | 0.432455i | ||||
\(223\) | −14.0925 | −0.943706 | −0.471853 | − | 0.881677i | \(-0.656415\pi\) | ||||
−0.471853 | + | 0.881677i | \(0.656415\pi\) | |||||||
\(224\) | 14.9244 | − | 1.12370i | 0.997178 | − | 0.0750801i | ||||
\(225\) | −4.05074 | −0.270050 | ||||||||
\(226\) | 15.7410 | − | 12.8873i | 1.04708 | − | 0.857253i | ||||
\(227\) | 0.720293 | − | 2.68817i | 0.0478075 | − | 0.178420i | −0.937894 | − | 0.346923i | \(-0.887227\pi\) |
0.985701 | + | 0.168503i | \(0.0538932\pi\) | |||||||
\(228\) | −10.3805 | − | 2.09023i | −0.687466 | − | 0.138429i | ||||
\(229\) | −13.7539 | + | 3.68535i | −0.908884 | + | 0.243535i | −0.682828 | − | 0.730579i | \(-0.739250\pi\) |
−0.226056 | + | 0.974114i | \(0.572583\pi\) | |||||||
\(230\) | −8.42501 | − | 18.6528i | −0.555529 | − | 1.22993i | ||||
\(231\) | 1.61615 | + | 1.46708i | 0.106335 | + | 0.0965265i | ||||
\(232\) | 3.93798 | − | 12.8186i | 0.258541 | − | 0.841585i | ||||
\(233\) | 5.07302 | + | 2.92891i | 0.332345 | + | 0.191879i | 0.656882 | − | 0.753994i | \(-0.271875\pi\) |
−0.324537 | + | 0.945873i | \(0.605208\pi\) | |||||||
\(234\) | 1.67595 | − | 2.33298i | 0.109560 | − | 0.152512i | ||||
\(235\) | 9.23962 | − | 34.4827i | 0.602727 | − | 2.24941i | ||||
\(236\) | 0.528426 | − | 1.06521i | 0.0343976 | − | 0.0693394i | ||||
\(237\) | −0.599401 | + | 0.599401i | −0.0389353 | + | 0.0389353i | ||||
\(238\) | −16.2606 | + | 25.1116i | −1.05402 | + | 1.62774i | ||||
\(239\) | 9.26821i | 0.599511i | 0.954016 | + | 0.299755i | \(0.0969050\pi\) | ||||
−0.954016 | + | 0.299755i | \(0.903095\pi\) | |||||||
\(240\) | 4.65743 | − | 11.0960i | 0.300636 | − | 0.716241i | ||||
\(241\) | 16.4479 | − | 9.49619i | 1.05950 | − | 0.611704i | 0.134207 | − | 0.990953i | \(-0.457151\pi\) |
0.925294 | + | 0.379250i | \(0.123818\pi\) | |||||||
\(242\) | −14.4017 | + | 2.36032i | −0.925776 | + | 0.151727i | ||||
\(243\) | 0.965926 | − | 0.258819i | 0.0619642 | − | 0.0166032i | ||||
\(244\) | 15.0830 | − | 0.952934i | 0.965591 | − | 0.0610054i | ||||
\(245\) | −20.7725 | − | 3.46265i | −1.32711 | − | 0.221221i | ||||
\(246\) | 6.20750 | + | 13.7433i | 0.395776 | + | 0.876238i | ||||
\(247\) | 5.37705 | − | 9.31333i | 0.342134 | − | 0.592593i | ||||
\(248\) | −0.306935 | + | 0.489727i | −0.0194904 | + | 0.0310977i | ||||
\(249\) | 3.25009 | − | 1.87644i | 0.205966 | − | 0.118915i | ||||
\(250\) | −0.400592 | + | 4.01878i | −0.0253357 | + | 0.254170i | ||||
\(251\) | −2.76317 | + | 2.76317i | −0.174410 | + | 0.174410i | −0.788914 | − | 0.614504i | \(-0.789356\pi\) |
0.614504 | + | 0.788914i | \(0.289356\pi\) | |||||||
\(252\) | −4.26002 | + | 3.13883i | −0.268356 | + | 0.197727i | ||||
\(253\) | 2.80630 | + | 2.80630i | 0.176431 | + | 0.176431i | ||||
\(254\) | 4.01573 | + | 4.90495i | 0.251969 | + | 0.307764i | ||||
\(255\) | 12.0270 | + | 20.8314i | 0.753163 | + | 1.30452i | ||||
\(256\) | 11.2067 | + | 11.4198i | 0.700416 | + | 0.713735i | ||||
\(257\) | 14.6922 | + | 8.48253i | 0.916473 | + | 0.529126i | 0.882508 | − | 0.470297i | \(-0.155853\pi\) |
0.0339648 | + | 0.999423i | \(0.489187\pi\) | |||||||
\(258\) | 3.74138 | − | 9.90522i | 0.232928 | − | 0.616672i | ||||
\(259\) | 0.918972 | + | 19.0068i | 0.0571021 | + | 1.18103i | ||||
\(260\) | 9.16966 | + | 8.07985i | 0.568678 | + | 0.501091i | ||||
\(261\) | 1.22709 | + | 4.57957i | 0.0759550 | + | 0.283468i | ||||
\(262\) | −7.09576 | + | 9.87754i | −0.438377 | + | 0.610236i | ||||
\(263\) | −13.7717 | − | 23.8533i | −0.849201 | − | 1.47086i | −0.881922 | − | 0.471395i | \(-0.843751\pi\) |
0.0327214 | − | 0.999465i | \(-0.489583\pi\) | |||||||
\(264\) | −0.0845832 | + | 2.33189i | −0.00520574 | + | 0.143518i | ||||
\(265\) | −12.9144 | −0.793324 | ||||||||
\(266\) | −14.7042 | + | 13.2749i | −0.901570 | + | 0.813934i | ||||
\(267\) | −8.93242 | − | 8.93242i | −0.546655 | − | 0.546655i | ||||
\(268\) | −7.51444 | + | 15.1478i | −0.459018 | + | 0.925297i | ||||
\(269\) | 19.7683 | + | 5.29690i | 1.20529 | + | 0.322958i | 0.804914 | − | 0.593392i | \(-0.202211\pi\) |
0.400380 | + | 0.916349i | \(0.368878\pi\) | |||||||
\(270\) | 0.688110 | + | 4.19857i | 0.0418771 | + | 0.255517i | ||||
\(271\) | 8.32171 | − | 14.4136i | 0.505508 | − | 0.875566i | −0.494472 | − | 0.869194i | \(-0.664638\pi\) |
0.999980 | − | 0.00637184i | \(-0.00202823\pi\) | |||||||
\(272\) | −31.7278 | + | 4.02514i | −1.92378 | + | 0.244060i | ||||
\(273\) | −1.63998 | − | 5.11773i | −0.0992560 | − | 0.309739i | ||||
\(274\) | 1.50940 | − | 3.99611i | 0.0911862 | − | 0.241414i | ||||
\(275\) | 0.864926 | + | 3.22795i | 0.0521570 | + | 0.194653i | ||||
\(276\) | −8.01234 | + | 5.32643i | −0.482286 | + | 0.320614i | ||||
\(277\) | −10.3229 | − | 2.76600i | −0.620241 | − | 0.166193i | −0.0650037 | − | 0.997885i | \(-0.520706\pi\) |
−0.555237 | + | 0.831692i | \(0.687373\pi\) | |||||||
\(278\) | 0.902482 | − | 9.05378i | 0.0541273 | − | 0.543010i | ||||
\(279\) | − | 0.204341i | − | 0.0122336i | ||||||
\(280\) | −11.4908 | − | 19.3598i | −0.686706 | − | 1.15697i | ||||
\(281\) | − | 11.2856i | − | 0.673245i | −0.941640 | − | 0.336622i | \(-0.890715\pi\) | ||
0.941640 | − | 0.336622i | \(-0.109285\pi\) | |||||||
\(282\) | −16.6988 | − | 1.66453i | −0.994396 | − | 0.0991216i | ||||
\(283\) | 26.9308 | + | 7.21609i | 1.60087 | + | 0.428952i | 0.945306 | − | 0.326186i | \(-0.105764\pi\) |
0.655566 | + | 0.755138i | \(0.272430\pi\) | |||||||
\(284\) | −2.47496 | + | 12.2912i | −0.146862 | + | 0.729346i | ||||
\(285\) | 4.12247 | + | 15.3853i | 0.244194 | + | 0.911345i | ||||
\(286\) | −2.21696 | − | 0.837384i | −0.131091 | − | 0.0495156i | ||||
\(287\) | 27.5719 | + | 5.97733i | 1.62752 | + | 0.352831i | ||||
\(288\) | −5.50142 | − | 1.31694i | −0.324175 | − | 0.0776015i | ||||
\(289\) | 23.4642 | − | 40.6411i | 1.38025 | − | 2.39065i | ||||
\(290\) | −19.9059 | + | 3.26241i | −1.16892 | + | 0.191575i | ||||
\(291\) | 4.66880 | + | 1.25100i | 0.273690 | + | 0.0733350i | ||||
\(292\) | −24.9878 | + | 8.41666i | −1.46230 | + | 0.492548i | ||||
\(293\) | −2.61604 | − | 2.61604i | −0.152831 | − | 0.152831i | 0.626550 | − | 0.779381i | \(-0.284466\pi\) |
−0.779381 | + | 0.626550i | \(0.784466\pi\) | |||||||
\(294\) | −0.0270060 | + | 9.89946i | −0.00157502 | + | 0.577348i | ||||
\(295\) | −1.78864 | −0.104139 | ||||||||
\(296\) | −14.8966 | + | 13.8537i | −0.865845 | + | 0.805231i | ||||
\(297\) | −0.412494 | − | 0.714461i | −0.0239353 | − | 0.0414572i | ||||
\(298\) | −3.28758 | − | 2.36171i | −0.190444 | − | 0.136810i | ||||
\(299\) | −2.52902 | − | 9.43844i | −0.146257 | − | 0.545839i | ||||
\(300\) | −8.08537 | + | 0.510828i | −0.466809 | + | 0.0294926i | ||||
\(301\) | −10.7213 | − | 16.6566i | −0.617967 | − | 0.960072i | ||||
\(302\) | −17.5997 | − | 6.64771i | −1.01275 | − | 0.382533i | ||||
\(303\) | −1.98738 | − | 1.14741i | −0.114172 | − | 0.0659171i | ||||
\(304\) | −20.9833 | − | 2.86309i | −1.20348 | − | 0.164209i | ||||
\(305\) | −11.3667 | − | 19.6877i | −0.650857 | − | 1.12732i | ||||
\(306\) | 8.74916 | − | 7.16303i | 0.500156 | − | 0.409483i | ||||
\(307\) | −17.8603 | − | 17.8603i | −1.01934 | − | 1.01934i | −0.999809 | − | 0.0195296i | \(-0.993783\pi\) |
−0.0195296 | − | 0.999809i | \(-0.506217\pi\) | |||||||
\(308\) | 3.41087 | + | 2.72450i | 0.194352 | + | 0.155243i | ||||
\(309\) | 0.633273 | − | 0.633273i | 0.0360256 | − | 0.0360256i | ||||
\(310\) | 0.865098 | + | 0.0862331i | 0.0491343 | + | 0.00489771i | ||||
\(311\) | −3.86070 | + | 2.22897i | −0.218920 | + | 0.126394i | −0.605450 | − | 0.795883i | \(-0.707007\pi\) |
0.386530 | + | 0.922277i | \(0.373674\pi\) | |||||||
\(312\) | 3.05103 | − | 4.86803i | 0.172730 | − | 0.275598i | ||||
\(313\) | −10.6310 | + | 18.4133i | −0.600897 | + | 1.04078i | 0.391789 | + | 0.920055i | \(0.371856\pi\) |
−0.992686 | + | 0.120729i | \(0.961477\pi\) | |||||||
\(314\) | 7.58932 | − | 3.42791i | 0.428290 | − | 0.193448i | ||||
\(315\) | 7.07737 | + | 3.64226i | 0.398765 | + | 0.205218i | ||||
\(316\) | −1.12083 | + | 1.27201i | −0.0630515 | + | 0.0715559i | ||||
\(317\) | −18.4427 | + | 4.94170i | −1.03584 | + | 0.277554i | −0.736390 | − | 0.676557i | \(-0.763471\pi\) |
−0.299454 | + | 0.954111i | \(0.596804\pi\) | |||||||
\(318\) | 0.981855 | + | 5.99088i | 0.0550597 | + | 0.335952i | ||||
\(319\) | 3.38734 | − | 1.95568i | 0.189655 | − | 0.109497i | ||||
\(320\) | 7.89704 | − | 22.7351i | 0.441458 | − | 1.27093i | ||||
\(321\) | 10.0587i | 0.561419i | ||||||||
\(322\) | −0.918307 | + | 17.9763i | −0.0511752 | + | 1.00178i | ||||
\(323\) | 29.9331 | − | 29.9331i | 1.66552 | − | 1.66552i | ||||
\(324\) | 1.89537 | − | 0.638418i | 0.105298 | − | 0.0354677i | ||||
\(325\) | 2.12954 | − | 7.94755i | 0.118126 | − | 0.440851i | ||||
\(326\) | −17.6491 | − | 12.6786i | −0.977491 | − | 0.702203i | ||||
\(327\) | −6.76436 | − | 3.90540i | −0.374070 | − | 0.215969i | ||||
\(328\) | 14.1234 | + | 26.6490i | 0.779835 | + | 1.47145i | ||||
\(329\) | −21.1018 | + | 23.2460i | −1.16338 | + | 1.28160i | ||||
\(330\) | 3.19882 | − | 1.44483i | 0.176089 | − | 0.0795353i | ||||
\(331\) | −14.0382 | + | 3.76151i | −0.771607 | + | 0.206752i | −0.623081 | − | 0.782157i | \(-0.714119\pi\) |
−0.148526 | + | 0.988909i | \(0.547453\pi\) | |||||||
\(332\) | 6.25061 | − | 4.15527i | 0.343047 | − | 0.228050i | ||||
\(333\) | 1.86150 | − | 6.94722i | 0.102010 | − | 0.380705i | ||||
\(334\) | −16.2713 | − | 19.8743i | −0.890327 | − | 1.08747i | ||||
\(335\) | 25.4352 | 1.38968 | ||||||||
\(336\) | −8.10726 | + | 6.80238i | −0.442287 | + | 0.371100i | ||||
\(337\) | −18.5814 | −1.01219 | −0.506095 | − | 0.862478i | \(-0.668912\pi\) | ||||
−0.506095 | + | 0.862478i | \(0.668912\pi\) | |||||||
\(338\) | −7.95021 | − | 9.71064i | −0.432434 | − | 0.528189i | ||||
\(339\) | −3.72314 | + | 13.8950i | −0.202213 | + | 0.754671i | ||||
\(340\) | 26.6332 | + | 40.0633i | 1.44439 | + | 2.17274i | ||||
\(341\) | −0.162835 | + | 0.0436314i | −0.00881799 | + | 0.00236277i | ||||
\(342\) | 6.82369 | − | 3.08210i | 0.368983 | − | 0.166661i | ||||
\(343\) | 14.8499 | + | 11.0671i | 0.801820 | + | 0.597566i | ||||
\(344\) | 6.21875 | − | 20.2428i | 0.335293 | − | 1.09142i | ||||
\(345\) | 12.5336 | + | 7.23625i | 0.674784 | + | 0.389587i | ||||
\(346\) | 13.4416 | + | 9.65608i | 0.722625 | + | 0.519114i | ||||
\(347\) | −8.05085 | + | 30.0462i | −0.432192 | + | 1.61296i | 0.315505 | + | 0.948924i | \(0.397826\pi\) |
−0.747697 | + | 0.664040i | \(0.768840\pi\) | |||||||
\(348\) | 3.02681 | + | 8.98616i | 0.162254 | + | 0.481709i | ||||
\(349\) | 12.6463 | − | 12.6463i | 0.676943 | − | 0.676943i | −0.282364 | − | 0.959307i | \(-0.591119\pi\) |
0.959307 | + | 0.282364i | \(0.0911186\pi\) | |||||||
\(350\) | −8.23803 | + | 12.7222i | −0.440341 | + | 0.680030i | ||||
\(351\) | 2.03121i | 0.108418i | ||||||||
\(352\) | 0.125238 | + | 4.66516i | 0.00667519 | + | 0.248654i | ||||
\(353\) | −22.3983 | + | 12.9317i | −1.19214 | + | 0.688284i | −0.958792 | − | 0.284109i | \(-0.908302\pi\) |
−0.233350 | + | 0.972393i | \(0.574969\pi\) | |||||||
\(354\) | 0.135987 | + | 0.829737i | 0.00722762 | + | 0.0441000i | ||||
\(355\) | 18.2171 | − | 4.88126i | 0.966864 | − | 0.259070i | ||||
\(356\) | −18.9557 | − | 16.7028i | −1.00465 | − | 0.885249i | ||||
\(357\) | −1.02160 | − | 21.1295i | −0.0540689 | − | 1.11829i | ||||
\(358\) | 22.7632 | − | 10.2816i | 1.20307 | − | 0.543398i | ||||
\(359\) | −11.6555 | + | 20.1880i | −0.615156 | + | 1.06548i | 0.375201 | + | 0.926944i | \(0.377574\pi\) |
−0.990357 | + | 0.138538i | \(0.955760\pi\) | |||||||
\(360\) | 1.90295 | + | 8.29366i | 0.100294 | + | 0.437114i | ||||
\(361\) | 7.82111 | − | 4.51552i | 0.411637 | − | 0.237659i | ||||
\(362\) | 5.91004 | + | 0.589113i | 0.310625 | + | 0.0309631i | ||||
\(363\) | 7.29691 | − | 7.29691i | 0.382989 | − | 0.382989i | ||||
\(364\) | −3.91881 | − | 10.0083i | −0.205402 | − | 0.524576i | ||||
\(365\) | 28.0454 | + | 28.0454i | 1.46796 | + | 1.46796i | ||||
\(366\) | −8.26880 | + | 6.76976i | −0.432217 | + | 0.353861i | ||||
\(367\) | −10.6028 | − | 18.3645i | −0.553460 | − | 0.958621i | −0.998022 | − | 0.0628724i | \(-0.979974\pi\) |
0.444562 | − | 0.895748i | \(-0.353359\pi\) | |||||||
\(368\) | −15.3211 | + | 11.6421i | −0.798667 | + | 0.606885i | ||||
\(369\) | −9.23465 | − | 5.33163i | −0.480737 | − | 0.277554i | ||||
\(370\) | 28.6262 | + | 10.8126i | 1.48821 | + | 0.562122i | ||||
\(371\) | 10.0986 | + | 5.19709i | 0.524293 | + | 0.269819i | ||||
\(372\) | −0.0257688 | − | 0.407868i | −0.00133605 | − | 0.0211470i | ||||
\(373\) | 0.873332 | + | 3.25932i | 0.0452194 | + | 0.168761i | 0.984843 | − | 0.173449i | \(-0.0554912\pi\) |
−0.939623 | + | 0.342210i | \(0.888825\pi\) | |||||||
\(374\) | −7.57620 | − | 5.44254i | −0.391756 | − | 0.281427i | ||||
\(375\) | −1.42789 | − | 2.47318i | −0.0737361 | − | 0.127715i | ||||
\(376\) | −33.5410 | − | 1.21661i | −1.72974 | − | 0.0627420i | ||||
\(377\) | −9.63020 | −0.495981 | ||||||||
\(378\) | 1.15154 | − | 3.56005i | 0.0592287 | − | 0.183109i | ||||
\(379\) | 15.6965 | + | 15.6965i | 0.806275 | + | 0.806275i | 0.984068 | − | 0.177793i | \(-0.0568957\pi\) |
−0.177793 | + | 0.984068i | \(0.556896\pi\) | |||||||
\(380\) | 10.1687 | + | 30.1895i | 0.521645 | + | 1.54869i | ||||
\(381\) | −4.32971 | − | 1.16014i | −0.221818 | − | 0.0594359i | ||||
\(382\) | 3.90429 | − | 0.639880i | 0.199761 | − | 0.0327391i | ||||
\(383\) | −12.3784 | + | 21.4400i | −0.632505 | + | 1.09553i | 0.354533 | + | 0.935044i | \(0.384640\pi\) |
−0.987038 | + | 0.160487i | \(0.948693\pi\) | |||||||
\(384\) | −11.1470 | − | 1.93487i | −0.568844 | − | 0.0987386i | ||||
\(385\) | 1.39126 | − | 6.41750i | 0.0709050 | − | 0.327066i | ||||
\(386\) | −7.92544 | − | 2.99358i | −0.403394 | − | 0.152369i | ||||
\(387\) | 1.93779 | + | 7.23192i | 0.0985032 | + | 0.367619i | ||||
\(388\) | 9.47678 | + | 1.90825i | 0.481111 | + | 0.0968769i | ||||
\(389\) | 33.8401 | + | 9.06742i | 1.71576 | + | 0.459737i | 0.976825 | − | 0.214040i | \(-0.0686623\pi\) |
0.738935 | + | 0.673776i | \(0.235329\pi\) | |||||||
\(390\) | −8.59934 | − | 0.857183i | −0.435444 | − | 0.0434052i | ||||
\(391\) | − | 38.4635i | − | 1.94518i | ||||||
\(392\) | 1.19449 | + | 19.7629i | 0.0603307 | + | 0.998178i | ||||
\(393\) | − | 8.59987i | − | 0.433806i | ||||||
\(394\) | −0.848130 | + | 8.50851i | −0.0427282 | + | 0.428653i | ||||
\(395\) | 2.46331 | + | 0.660041i | 0.123942 | + | 0.0332103i | ||||
\(396\) | −0.913446 | − | 1.37406i | −0.0459024 | − | 0.0690491i | ||||
\(397\) | 1.01738 | + | 3.79691i | 0.0510608 | + | 0.190561i | 0.986745 | − | 0.162276i | \(-0.0518835\pi\) |
−0.935685 | + | 0.352838i | \(0.885217\pi\) | |||||||
\(398\) | 9.41984 | − | 24.9388i | 0.472174 | − | 1.25007i | ||||
\(399\) | 2.96782 | − | 13.6898i | 0.148577 | − | 0.685345i | ||||
\(400\) | −16.0741 | + | 2.03924i | −0.803707 | + | 0.101962i | ||||
\(401\) | −10.9533 | + | 18.9717i | −0.546983 | + | 0.947402i | 0.451496 | + | 0.892273i | \(0.350890\pi\) |
−0.998479 | + | 0.0551294i | \(0.982443\pi\) | |||||||
\(402\) | −1.93379 | − | 11.7992i | −0.0964487 | − | 0.588491i | ||||
\(403\) | 0.400916 | + | 0.107425i | 0.0199711 | + | 0.00535123i | ||||
\(404\) | −4.11154 | − | 2.03964i | −0.204557 | − | 0.101476i | ||||
\(405\) | −2.12729 | − | 2.12729i | −0.105706 | − | 0.105706i | ||||
\(406\) | 16.8786 | + | 5.45958i | 0.837672 | + | 0.270954i | ||||
\(407\) | −5.93356 | −0.294116 | ||||||||
\(408\) | 16.5602 | − | 15.4009i | 0.819851 | − | 0.762457i | ||||
\(409\) | 8.57219 | + | 14.8475i | 0.423868 | + | 0.734160i | 0.996314 | − | 0.0857820i | \(-0.0273389\pi\) |
−0.572446 | + | 0.819942i | \(0.694006\pi\) | |||||||
\(410\) | 26.4691 | − | 36.8459i | 1.30722 | − | 1.81969i | ||||
\(411\) | 0.781770 | + | 2.91760i | 0.0385619 | + | 0.143915i | ||||
\(412\) | 1.18416 | − | 1.34389i | 0.0583396 | − | 0.0662085i | ||||
\(413\) | 1.39866 | + | 0.719797i | 0.0688234 | + | 0.0354189i | ||||
\(414\) | 2.40394 | − | 6.36438i | 0.118147 | − | 0.312792i | ||||
\(415\) | −9.77771 | − | 5.64517i | −0.479969 | − | 0.277110i | ||||
\(416\) | 5.47602 | − | 10.1014i | 0.268484 | − | 0.495264i | ||||
\(417\) | 3.21686 | + | 5.57176i | 0.157530 | + | 0.272850i | ||||
\(418\) | −3.91307 | − | 4.77955i | −0.191394 | − | 0.233775i | ||||
\(419\) | −10.6719 | − | 10.6719i | −0.521355 | − | 0.521355i | 0.396625 | − | 0.917981i | \(-0.370181\pi\) |
−0.917981 | + | 0.396625i | \(0.870181\pi\) | |||||||
\(420\) | 14.5859 | + | 6.37752i | 0.711718 | + | 0.311191i | ||||
\(421\) | −18.7049 | + | 18.7049i | −0.911619 | + | 0.911619i | −0.996400 | − | 0.0847805i | \(-0.972981\pi\) |
0.0847805 | + | 0.996400i | \(0.472981\pi\) | |||||||
\(422\) | −1.20855 | + | 12.1242i | −0.0588311 | + | 0.590199i | ||||
\(423\) | 10.2765 | − | 5.93316i | 0.499662 | − | 0.288480i | ||||
\(424\) | 2.71530 | + | 11.8341i | 0.131866 | + | 0.574715i | ||||
\(425\) | 16.1939 | − | 28.0487i | 0.785519 | − | 1.36056i | ||||
\(426\) | −3.64939 | − | 8.07966i | −0.176813 | − | 0.391461i | ||||
\(427\) | 0.965513 | + | 19.9694i | 0.0467245 | + | 0.966388i | ||||
\(428\) | 1.26847 | + | 20.0773i | 0.0613137 | + | 0.970471i | ||||
\(429\) | 1.61863 | − | 0.433709i | 0.0781480 | − | 0.0209397i | ||||
\(430\) | −31.4348 | + | 5.15191i | −1.51592 | + | 0.248447i | ||||
\(431\) | −7.75163 | + | 4.47540i | −0.373383 | + | 0.215573i | −0.674935 | − | 0.737877i | \(-0.735828\pi\) |
0.301553 | + | 0.953450i | \(0.402495\pi\) | |||||||
\(432\) | 3.70269 | − | 1.51332i | 0.178146 | − | 0.0728094i | ||||
\(433\) | − | 10.5356i | − | 0.506311i | −0.967426 | − | 0.253155i | \(-0.918532\pi\) | ||
0.967426 | − | 0.253155i | \(-0.0814684\pi\) | |||||||
\(434\) | −0.641774 | − | 0.415570i | −0.0308061 | − | 0.0199480i | ||||
\(435\) | 10.0857 | − | 10.0857i | 0.483574 | − | 0.483574i | ||||
\(436\) | −13.9943 | − | 6.94223i | −0.670205 | − | 0.332473i | ||||
\(437\) | 6.59200 | − | 24.6017i | 0.315338 | − | 1.17686i | ||||
\(438\) | 10.8778 | − | 15.1423i | 0.519762 | − | 0.723526i | ||||
\(439\) | −8.27433 | − | 4.77719i | −0.394912 | − | 0.228003i | 0.289374 | − | 0.957216i | \(-0.406553\pi\) |
−0.684286 | + | 0.729213i | \(0.739886\pi\) | |||||||
\(440\) | 6.20271 | − | 3.28730i | 0.295702 | − | 0.156716i | ||||
\(441\) | −4.06851 | − | 5.69624i | −0.193739 | − | 0.271250i | ||||
\(442\) | 9.45427 | + | 20.9315i | 0.449694 | + | 0.995612i | ||||
\(443\) | 32.9566 | − | 8.83069i | 1.56581 | − | 0.419559i | 0.631316 | − | 0.775526i | \(-0.282515\pi\) |
0.934499 | + | 0.355967i | \(0.115848\pi\) | |||||||
\(444\) | 2.83950 | − | 14.1015i | 0.134757 | − | 0.669230i | ||||
\(445\) | −9.83609 | + | 36.7088i | −0.466275 | + | 1.74016i | ||||
\(446\) | 15.4209 | − | 12.6252i | 0.730199 | − | 0.597822i | ||||
\(447\) | 2.86233 | 0.135384 | ||||||||
\(448\) | −15.3244 | + | 14.6001i | −0.724011 | + | 0.689789i | ||||
\(449\) | −16.8988 | −0.797505 | −0.398752 | − | 0.917059i | \(-0.630557\pi\) | ||||
−0.398752 | + | 0.917059i | \(0.630557\pi\) | |||||||
\(450\) | 4.43255 | − | 3.62898i | 0.208953 | − | 0.171072i | ||||
\(451\) | −2.27685 | + | 8.49731i | −0.107213 | + | 0.400123i | ||||
\(452\) | −5.67921 | + | 28.2041i | −0.267128 | + | 1.32661i | ||||
\(453\) | 12.8497 | − | 3.44307i | 0.603733 | − | 0.161770i | ||||
\(454\) | 1.62009 | + | 3.58684i | 0.0760347 | + | 0.168339i | ||||
\(455\) | −10.8668 | + | 11.9710i | −0.509443 | + | 0.561209i | ||||
\(456\) | 13.2315 | − | 7.01244i | 0.619624 | − | 0.328388i | ||||
\(457\) | −17.8116 | − | 10.2835i | −0.833192 | − | 0.481044i | 0.0217525 | − | 0.999763i | \(-0.493075\pi\) |
−0.854944 | + | 0.518720i | \(0.826409\pi\) | |||||||
\(458\) | 11.7487 | − | 16.3546i | 0.548980 | − | 0.764199i | ||||
\(459\) | −2.06939 | + | 7.72308i | −0.0965910 | + | 0.360482i | ||||
\(460\) | 25.9298 | + | 12.8631i | 1.20898 | + | 0.599747i | ||||
\(461\) | 24.3559 | − | 24.3559i | 1.13437 | − | 1.13437i | 0.144925 | − | 0.989443i | \(-0.453706\pi\) |
0.989443 | − | 0.144925i | \(-0.0462941\pi\) | |||||||
\(462\) | −3.08280 | − | 0.157483i | −0.143425 | − | 0.00732678i | ||||
\(463\) | − | 35.1033i | − | 1.63139i | −0.578483 | − | 0.815694i | \(-0.696355\pi\) | ||
0.578483 | − | 0.815694i | \(-0.303645\pi\) | |||||||
\(464\) | 7.17480 | + | 17.5549i | 0.333082 | + | 0.814964i | ||||
\(465\) | −0.532387 | + | 0.307374i | −0.0246889 | + | 0.0142541i | ||||
\(466\) | −8.17515 | + | 1.33984i | −0.378706 | + | 0.0620668i | ||||
\(467\) | −8.83954 | + | 2.36855i | −0.409045 | + | 0.109603i | −0.457473 | − | 0.889223i | \(-0.651245\pi\) |
0.0484281 | + | 0.998827i | \(0.484579\pi\) | |||||||
\(468\) | 0.256150 | + | 4.05434i | 0.0118405 | + | 0.187412i | ||||
\(469\) | −19.8895 | − | 10.2358i | −0.918411 | − | 0.472646i | ||||
\(470\) | 20.7819 | + | 46.0106i | 0.958597 | + | 2.12231i | ||||
\(471\) | −2.94424 | + | 5.09957i | −0.135663 | + | 0.234976i | ||||
\(472\) | 0.376068 | + | 1.63902i | 0.0173100 | + | 0.0754421i | ||||
\(473\) | 5.34919 | − | 3.08836i | 0.245956 | − | 0.142003i | ||||
\(474\) | 0.118907 | − | 1.19289i | 0.00546160 | − | 0.0547913i | ||||
\(475\) | 15.1649 | − | 15.1649i | 0.695813 | − | 0.695813i | ||||
\(476\) | −4.70372 | − | 42.0460i | −0.215594 | − | 1.92718i | ||||
\(477\) | −3.03540 | − | 3.03540i | −0.138982 | − | 0.138982i | ||||
\(478\) | −8.30320 | − | 10.1418i | −0.379780 | − | 0.463875i | ||||
\(479\) | −1.42628 | − | 2.47040i | −0.0651686 | − | 0.112875i | 0.831600 | − | 0.555375i | \(-0.187425\pi\) |
−0.896769 | + | 0.442499i | \(0.854092\pi\) | |||||||
\(480\) | 4.84422 | + | 16.3143i | 0.221107 | + | 0.744644i | ||||
\(481\) | 12.6518 | + | 7.30453i | 0.576873 | + | 0.333058i | ||||
\(482\) | −9.49077 | + | 25.1266i | −0.432293 | + | 1.14449i | ||||
\(483\) | −6.88875 | − | 10.7023i | −0.313449 | − | 0.486973i | ||||
\(484\) | 13.6446 | − | 15.4850i | 0.620209 | − | 0.703863i | ||||
\(485\) | −3.76357 | − | 14.0458i | −0.170895 | − | 0.637788i | ||||
\(486\) | −0.825101 | + | 1.14857i | −0.0374273 | + | 0.0521001i | ||||
\(487\) | −5.92497 | − | 10.2623i | −0.268486 | − | 0.465031i | 0.699985 | − | 0.714157i | \(-0.253190\pi\) |
−0.968471 | + | 0.249126i | \(0.919857\pi\) | |||||||
\(488\) | −15.6510 | + | 14.5553i | −0.708487 | + | 0.658889i | ||||
\(489\) | 15.3661 | 0.694881 | ||||||||
\(490\) | 25.8326 | − | 14.8206i | 1.16700 | − | 0.669528i | ||||
\(491\) | 4.87206 | + | 4.87206i | 0.219873 | + | 0.219873i | 0.808445 | − | 0.588572i | \(-0.200310\pi\) |
−0.588572 | + | 0.808445i | \(0.700310\pi\) | |||||||
\(492\) | −19.1049 | − | 9.47749i | −0.861316 | − | 0.427278i | ||||
\(493\) | −36.6160 | − | 9.81123i | −1.64910 | − | 0.441876i | ||||
\(494\) | 2.45975 | + | 15.0084i | 0.110669 | + | 0.675259i | ||||
\(495\) | −1.24097 | + | 2.14942i | −0.0557773 | + | 0.0966091i | ||||
\(496\) | −0.102870 | − | 0.810864i | −0.00461901 | − | 0.0364089i | ||||
\(497\) | −16.2095 | − | 3.51407i | −0.727095 | − | 0.157628i | ||||
\(498\) | −1.87537 | + | 4.96500i | −0.0840373 | + | 0.222487i | ||||
\(499\) | 3.17250 | + | 11.8399i | 0.142021 | + | 0.530028i | 0.999870 | + | 0.0161267i | \(0.00513353\pi\) |
−0.857849 | + | 0.513901i | \(0.828200\pi\) | |||||||
\(500\) | −3.16199 | − | 4.75646i | −0.141409 | − | 0.212715i | ||||
\(501\) | 17.5435 | + | 4.70077i | 0.783787 | + | 0.210015i | ||||
\(502\) | 0.548150 | − | 5.49909i | 0.0244651 | − | 0.245436i | ||||
\(503\) | 7.18042i | 0.320159i | 0.987104 | + | 0.160079i | \(0.0511751\pi\) | ||||
−0.987104 | + | 0.160079i | \(0.948825\pi\) | |||||||
\(504\) | 1.84955 | − | 7.25115i | 0.0823853 | − | 0.322992i | ||||
\(505\) | 6.90385i | 0.307217i | ||||||||
\(506\) | −5.58493 | − | 0.556707i | −0.248280 | − | 0.0247486i | ||||
\(507\) | 8.57181 | + | 2.29681i | 0.380687 | + | 0.102005i | ||||
\(508\) | −8.78849 | − | 1.76966i | −0.389926 | − | 0.0785159i | ||||
\(509\) | 6.52051 | + | 24.3349i | 0.289016 | + | 1.07862i | 0.945854 | + | 0.324592i | \(0.105227\pi\) |
−0.656838 | + | 0.754032i | \(0.728106\pi\) | |||||||
\(510\) | −31.8232 | − | 12.0202i | −1.40915 | − | 0.532262i | ||||
\(511\) | −10.6443 | − | 33.2168i | −0.470877 | − | 1.46942i | ||||
\(512\) | −22.4937 | − | 2.45633i | −0.994090 | − | 0.108555i | ||||
\(513\) | −2.64722 | + | 4.58511i | −0.116877 | + | 0.202438i | ||||
\(514\) | −23.6764 | + | 3.88036i | −1.04432 | + | 0.171155i | ||||
\(515\) | −2.60251 | − | 0.697339i | −0.114680 | − | 0.0307284i | ||||
\(516\) | 4.77986 | + | 14.1907i | 0.210422 | + | 0.624710i | ||||
\(517\) | −6.92228 | − | 6.92228i | −0.304441 | − | 0.304441i | ||||
\(518\) | −18.0334 | − | 19.9751i | −0.792343 | − | 0.877654i | ||||
\(519\) | −11.7029 | −0.513701 | ||||||||
\(520\) | −17.2725 | − | 0.626517i | −0.757451 | − | 0.0274746i | ||||
\(521\) | 12.7013 | + | 21.9992i | 0.556452 | + | 0.963804i | 0.997789 | + | 0.0664621i | \(0.0211712\pi\) |
−0.441337 | + | 0.897342i | \(0.645496\pi\) | |||||||
\(522\) | −5.44550 | − | 3.91190i | −0.238343 | − | 0.171219i | ||||
\(523\) | 3.07940 | + | 11.4925i | 0.134653 | + | 0.502531i | 0.999999 | + | 0.00135659i | \(0.000431817\pi\) |
−0.865346 | + | 0.501174i | \(0.832902\pi\) | |||||||
\(524\) | −1.08450 | − | 17.1655i | −0.0473768 | − | 0.749879i | ||||
\(525\) | −0.517571 | − | 10.7048i | −0.0225886 | − | 0.467194i | ||||
\(526\) | 36.4395 | + | 13.7639i | 1.58884 | + | 0.600133i | ||||
\(527\) | 1.41492 | + | 0.816905i | 0.0616349 | + | 0.0355850i | ||||
\(528\) | −1.99653 | − | 2.62746i | −0.0868880 | − | 0.114346i | ||||
\(529\) | −0.0710622 | − | 0.123083i | −0.00308966 | − | 0.00535145i | ||||
\(530\) | 14.1317 | − | 11.5697i | 0.613840 | − | 0.502557i | ||||
\(531\) | −0.420403 | − | 0.420403i | −0.0182440 | − | 0.0182440i | ||||
\(532\) | 4.19744 | − | 27.6993i | 0.181982 | − | 1.20092i | ||||
\(533\) | 15.3155 | − | 15.3155i | 0.663386 | − | 0.663386i | ||||
\(534\) | 17.7767 | + | 1.77199i | 0.769275 | + | 0.0766814i | ||||
\(535\) | 26.2067 | − | 15.1304i | 1.13301 | − | 0.654146i | ||||
\(536\) | −5.34785 | − | 23.3076i | −0.230992 | − | 1.00673i | ||||
\(537\) | −8.83086 | + | 15.2955i | −0.381080 | + | 0.660049i | ||||
\(538\) | −26.3770 | + | 11.9138i | −1.13719 | + | 0.513643i | ||||
\(539\) | −3.67049 | + | 4.45839i | −0.158099 | + | 0.192036i | ||||
\(540\) | −4.51438 | − | 3.97785i | −0.194268 | − | 0.171179i | ||||
\(541\) | 28.4413 | − | 7.62083i | 1.22279 | − | 0.327645i | 0.411021 | − | 0.911626i | \(-0.365172\pi\) |
0.811768 | + | 0.583981i | \(0.198506\pi\) | |||||||
\(542\) | 3.80679 | + | 23.2275i | 0.163516 | + | 0.997705i | ||||
\(543\) | −3.63708 | + | 2.09987i | −0.156082 | + | 0.0901140i | ||||
\(544\) | 31.1123 | − | 32.8288i | 1.33393 | − | 1.40752i | ||||
\(545\) | 23.4984i | 1.00656i | ||||||||
\(546\) | 6.37943 | + | 4.13089i | 0.273014 | + | 0.176786i | ||||
\(547\) | 3.76994 | − | 3.76994i | 0.161191 | − | 0.161191i | −0.621903 | − | 0.783094i | \(-0.713640\pi\) |
0.783094 | + | 0.621903i | \(0.213640\pi\) | |||||||
\(548\) | 1.92836 | + | 5.72501i | 0.0823754 | + | 0.244560i | ||||
\(549\) | 1.95578 | − | 7.29906i | 0.0834706 | − | 0.311516i | ||||
\(550\) | −3.83830 | − | 2.75733i | −0.163666 | − | 0.117573i | ||||
\(551\) | −21.7386 | − | 12.5508i | −0.926094 | − | 0.534681i | ||||
\(552\) | 3.99572 | − | 13.0066i | 0.170069 | − | 0.553597i | ||||
\(553\) | −1.66060 | − | 1.50743i | −0.0706160 | − | 0.0641024i | ||||
\(554\) | 13.7739 | − | 6.22133i | 0.585196 | − | 0.264319i | ||||
\(555\) | −20.9003 | + | 5.60023i | −0.887170 | + | 0.237716i | ||||
\(556\) | 7.12355 | + | 10.7157i | 0.302106 | + | 0.454446i | ||||
\(557\) | 0.864497 | − | 3.22635i | 0.0366299 | − | 0.136705i | −0.945189 | − | 0.326523i | \(-0.894123\pi\) |
0.981819 | + | 0.189818i | \(0.0607898\pi\) | |||||||
\(558\) | 0.183065 | + | 0.223601i | 0.00774975 | + | 0.00946580i | ||||
\(559\) | −15.2077 | −0.643219 | ||||||||
\(560\) | 29.9180 | + | 10.8903i | 1.26427 | + | 0.460198i | ||||
\(561\) | 6.59621 | 0.278492 | ||||||||
\(562\) | 10.1106 | + | 12.3494i | 0.426489 | + | 0.520928i | ||||
\(563\) | −6.79112 | + | 25.3448i | −0.286211 | + | 1.06816i | 0.661738 | + | 0.749735i | \(0.269819\pi\) |
−0.947950 | + | 0.318421i | \(0.896848\pi\) | |||||||
\(564\) | 19.7640 | − | 13.1387i | 0.832213 | − | 0.553237i | ||||
\(565\) | 41.8022 | − | 11.2009i | 1.75863 | − | 0.471224i | ||||
\(566\) | −35.9340 | + | 16.2305i | −1.51042 | + | 0.682220i | ||||
\(567\) | 0.807390 | + | 2.51955i | 0.0339072 | + | 0.105811i | ||||
\(568\) | −8.30316 | − | 15.6670i | −0.348393 | − | 0.657371i | ||||
\(569\) | 32.8182 | + | 18.9476i | 1.37581 | + | 0.794324i | 0.991652 | − | 0.128944i | \(-0.0411586\pi\) |
0.384158 | + | 0.923268i | \(0.374492\pi\) | |||||||
\(570\) | −18.2944 | − | 13.1422i | −0.766269 | − | 0.550467i | ||||
\(571\) | −11.3922 | + | 42.5162i | −0.476747 | + | 1.77925i | 0.137902 | + | 0.990446i | \(0.455964\pi\) |
−0.614650 | + | 0.788800i | \(0.710703\pi\) | |||||||
\(572\) | 3.17612 | − | 1.06981i | 0.132800 | − | 0.0447311i | ||||
\(573\) | −1.97819 | + | 1.97819i | −0.0826400 | + | 0.0826400i | ||||
\(574\) | −35.5257 | + | 18.1603i | −1.48281 | + | 0.757998i | ||||
\(575\) | − | 19.4866i | − | 0.812648i | ||||||
\(576\) | 7.19979 | − | 3.48754i | 0.299991 | − | 0.145314i | ||||
\(577\) | 10.0239 | − | 5.78731i | 0.417301 | − | 0.240929i | −0.276621 | − | 0.960979i | \(-0.589215\pi\) |
0.693922 | + | 0.720050i | \(0.255881\pi\) | |||||||
\(578\) | 10.7337 | + | 65.4929i | 0.446465 | + | 2.72415i | ||||
\(579\) | 5.78645 | − | 1.55048i | 0.240477 | − | 0.0644356i | ||||
\(580\) | 18.8595 | − | 21.4032i | 0.783096 | − | 0.888720i | ||||
\(581\) | 5.37407 | + | 8.34914i | 0.222954 | + | 0.346381i | ||||
\(582\) | −6.22961 | + | 2.81377i | −0.258226 | + | 0.116634i | ||||
\(583\) | −1.77072 | + | 3.06697i | −0.0733356 | + | 0.127021i | ||||
\(584\) | 19.8028 | − | 31.5961i | 0.819445 | − | 1.30746i | ||||
\(585\) | 5.29209 | − | 3.05539i | 0.218801 | − | 0.126325i | ||||
\(586\) | 5.20628 | + | 0.518963i | 0.215070 | + | 0.0214382i | ||||
\(587\) | −2.65922 | + | 2.65922i | −0.109758 | + | 0.109758i | −0.759853 | − | 0.650095i | \(-0.774729\pi\) |
0.650095 | + | 0.759853i | \(0.274729\pi\) | |||||||
\(588\) | −8.83918 | − | 10.8567i | −0.364521 | − | 0.447725i | ||||
\(589\) | 0.764997 | + | 0.764997i | 0.0315211 | + | 0.0315211i | ||||
\(590\) | 1.95723 | − | 1.60241i | 0.0805780 | − | 0.0659701i | ||||
\(591\) | −3.02312 | − | 5.23620i | −0.124355 | − | 0.215388i | ||||
\(592\) | 3.88940 | − | 28.5050i | 0.159853 | − | 1.17155i | ||||
\(593\) | −13.3968 | − | 7.73465i | −0.550141 | − | 0.317624i | 0.199038 | − | 0.979992i | \(-0.436218\pi\) |
−0.749179 | + | 0.662368i | \(0.769552\pi\) | |||||||
\(594\) | 1.09145 | + | 0.412259i | 0.0447826 | + | 0.0169152i | ||||
\(595\) | −53.5138 | + | 34.4451i | −2.19385 | + | 1.41211i | ||||
\(596\) | 5.71327 | − | 0.360960i | 0.234025 | − | 0.0147855i | ||||
\(597\) | 4.87885 | + | 18.2081i | 0.199678 | + | 0.745209i | ||||
\(598\) | 11.2231 | + | 8.06238i | 0.458947 | + | 0.329695i | ||||
\(599\) | −10.2565 | − | 17.7648i | −0.419070 | − | 0.725851i | 0.576776 | − | 0.816902i | \(-0.304311\pi\) |
−0.995846 | + | 0.0910516i | \(0.970977\pi\) | |||||||
\(600\) | 8.38983 | − | 7.80249i | 0.342513 | − | 0.318535i | ||||
\(601\) | −28.4620 | −1.16099 | −0.580494 | − | 0.814265i | \(-0.697141\pi\) | ||||
−0.580494 | + | 0.814265i | \(0.697141\pi\) | |||||||
\(602\) | 26.6542 | + | 8.62160i | 1.08634 | + | 0.351390i | ||||
\(603\) | 5.97831 | + | 5.97831i | 0.243456 | + | 0.243456i | ||||
\(604\) | 25.2141 | − | 8.49289i | 1.02595 | − | 0.345571i | ||||
\(605\) | −29.9875 | − | 8.03512i | −1.21916 | − | 0.326674i | ||||
\(606\) | 3.20264 | − | 0.524886i | 0.130099 | − | 0.0213221i | ||||
\(607\) | 9.05986 | − | 15.6921i | 0.367728 | − | 0.636924i | −0.621482 | − | 0.783429i | \(-0.713469\pi\) |
0.989210 | + | 0.146504i | \(0.0468023\pi\) | |||||||
\(608\) | 25.5261 | − | 15.6656i | 1.03522 | − | 0.635323i | ||||
\(609\) | −11.9455 | + | 3.82793i | −0.484055 | + | 0.155116i | ||||
\(610\) | 30.0760 | + | 11.3602i | 1.21774 | + | 0.459963i | ||||
\(611\) | 6.23831 | + | 23.2817i | 0.252375 | + | 0.941876i | ||||
\(612\) | −3.15661 | + | 15.6764i | −0.127599 | + | 0.633680i | ||||
\(613\) | 28.1630 | + | 7.54625i | 1.13749 | + | 0.304790i | 0.777943 | − | 0.628335i | \(-0.216263\pi\) |
0.359550 | + | 0.933126i | \(0.382930\pi\) | |||||||
\(614\) | 35.5444 | + | 3.54307i | 1.43445 | + | 0.142987i | ||||
\(615\) | 32.0798i | 1.29358i | ||||||||
\(616\) | −6.17320 | + | 0.0744242i | −0.248725 | + | 0.00299864i | ||||
\(617\) | 24.0113i | 0.966659i | 0.875438 | + | 0.483330i | \(0.160573\pi\) | ||||
−0.875438 | + | 0.483330i | \(0.839427\pi\) | |||||||
\(618\) | −0.125627 | + | 1.26030i | −0.00505345 | + | 0.0506967i | ||||
\(619\) | 22.1142 | + | 5.92549i | 0.888845 | + | 0.238165i | 0.674220 | − | 0.738531i | \(-0.264480\pi\) |
0.214626 | + | 0.976696i | \(0.431147\pi\) | |||||||
\(620\) | −1.02389 | + | 0.680663i | −0.0411206 | + | 0.0273361i | ||||
\(621\) | 1.24508 | + | 4.64671i | 0.0499634 | + | 0.186466i | ||||
\(622\) | 2.22770 | − | 5.89779i | 0.0893227 | − | 0.236480i | ||||
\(623\) | 22.4641 | − | 24.7467i | 0.900004 | − | 0.991455i | ||||
\(624\) | 1.02256 | + | 8.06023i | 0.0409352 | + | 0.322668i | ||||
\(625\) | −14.4226 | + | 24.9807i | −0.576904 | + | 0.999227i | ||||
\(626\) | −4.86316 | − | 29.6730i | −0.194371 | − | 1.18597i | ||||
\(627\) | 4.21902 | + | 1.13048i | 0.168491 | + | 0.0451471i | ||||
\(628\) | −5.23367 | + | 10.5501i | −0.208846 | + | 0.420997i | ||||
\(629\) | 40.6630 | + | 40.6630i | 1.62134 | + | 1.62134i | ||||
\(630\) | −11.0075 | + | 2.35490i | −0.438549 | + | 0.0938216i | ||||
\(631\) | −47.5370 | −1.89242 | −0.946209 | − | 0.323557i | \(-0.895121\pi\) | ||||
−0.946209 | + | 0.323557i | \(0.895121\pi\) | |||||||
\(632\) | 0.0869098 | − | 2.39603i | 0.00345709 | − | 0.0953089i | ||||
\(633\) | −4.30781 | − | 7.46134i | −0.171220 | − | 0.296562i | ||||
\(634\) | 15.7539 | − | 21.9299i | 0.625666 | − | 0.870948i | ||||
\(635\) | 3.49022 | + | 13.0257i | 0.138505 | + | 0.516909i | ||||
\(636\) | −6.44151 | − | 5.67594i | −0.255423 | − | 0.225066i | ||||
\(637\) | 13.3149 | − | 4.98781i | 0.527556 | − | 0.197624i | ||||
\(638\) | −1.95457 | + | 5.17467i | −0.0773820 | + | 0.204867i | ||||
\(639\) | 5.42905 | + | 3.13447i | 0.214770 | + | 0.123998i | ||||
\(640\) | 11.7265 | + | 31.9528i | 0.463531 | + | 1.26305i | ||||
\(641\) | −2.29360 | − | 3.97263i | −0.0905918 | − | 0.156910i | 0.817169 | − | 0.576399i | \(-0.195543\pi\) |
−0.907760 | + | 0.419489i | \(0.862209\pi\) | |||||||
\(642\) | −9.01134 | − | 11.0068i | −0.355649 | − | 0.434402i | ||||
\(643\) | −30.1967 | − | 30.1967i | −1.19084 | − | 1.19084i | −0.976832 | − | 0.214008i | \(-0.931348\pi\) |
−0.214008 | − | 0.976832i | \(-0.568652\pi\) | |||||||
\(644\) | −15.0997 | − | 20.4934i | −0.595012 | − | 0.807552i | ||||
\(645\) | 15.9271 | − | 15.9271i | 0.627129 | − | 0.627129i | ||||
\(646\) | −5.93804 | + | 59.5709i | −0.233629 | + | 2.34379i | ||||
\(647\) | −5.37546 | + | 3.10353i | −0.211331 | + | 0.122012i | −0.601930 | − | 0.798549i | \(-0.705601\pi\) |
0.390599 | + | 0.920561i | \(0.372268\pi\) | |||||||
\(648\) | −1.50207 | + | 2.39662i | −0.0590071 | + | 0.0941480i | ||||
\(649\) | −0.245244 | + | 0.424776i | −0.00962668 | + | 0.0166739i | ||||
\(650\) | 4.78979 | + | 10.6045i | 0.187871 | + | 0.415942i | ||||
\(651\) | 0.540004 | − | 0.0261090i | 0.0211644 | − | 0.00102329i | ||||
\(652\) | 30.6711 | − | 1.93778i | 1.20117 | − | 0.0758893i | ||||
\(653\) | −30.3708 | + | 8.13782i | −1.18850 | + | 0.318458i | −0.798293 | − | 0.602270i | \(-0.794263\pi\) |
−0.390207 | + | 0.920727i | \(0.627597\pi\) | |||||||
\(654\) | 10.9007 | − | 1.78654i | 0.426252 | − | 0.0698591i | ||||
\(655\) | −22.4060 | + | 12.9361i | −0.875475 | + | 0.505456i | ||||
\(656\) | −39.3290 | − | 16.5080i | −1.53554 | − | 0.644529i | ||||
\(657\) | 13.1836i | 0.514342i | ||||||||
\(658\) | 2.26518 | − | 44.3419i | 0.0883058 | − | 1.72863i | ||||
\(659\) | −2.23477 | + | 2.23477i | −0.0870545 | + | 0.0870545i | −0.749293 | − | 0.662239i | \(-0.769607\pi\) |
0.662239 | + | 0.749293i | \(0.269607\pi\) | |||||||
\(660\) | −2.20594 | + | 4.44677i | −0.0858660 | + | 0.173090i | ||||
\(661\) | 10.0379 | − | 37.4620i | 0.390430 | − | 1.45710i | −0.438997 | − | 0.898489i | \(-0.644666\pi\) |
0.829427 | − | 0.558615i | \(-0.188667\pi\) | |||||||
\(662\) | 11.9915 | − | 16.6926i | 0.466063 | − | 0.648775i | ||||
\(663\) | −14.0648 | − | 8.12029i | −0.546230 | − | 0.315366i | ||||
\(664\) | −3.11715 | + | 10.1467i | −0.120969 | + | 0.393770i | ||||
\(665\) | −40.1314 | + | 12.8601i | −1.55623 | + | 0.498694i | ||||
\(666\) | 4.18691 | + | 9.26973i | 0.162240 | + | 0.359195i | ||||
\(667\) | −22.0306 | + | 5.90308i | −0.853028 | + | 0.228568i | ||||
\(668\) | 35.6100 | + | 7.17047i | 1.37779 | + | 0.277434i | ||||
\(669\) | −3.64742 | + | 13.6123i | −0.141017 | + | 0.526284i | ||||
\(670\) | −27.8327 | + | 22.7869i | −1.07527 | + | 0.880335i | ||||
\(671\) | −6.23406 | −0.240663 | ||||||||
\(672\) | 2.77731 | − | 14.7067i | 0.107137 | − | 0.567323i | ||||
\(673\) | −15.0449 | −0.579937 | −0.289968 | − | 0.957036i | \(-0.593645\pi\) | ||||
−0.289968 | + | 0.957036i | \(0.593645\pi\) | |||||||
\(674\) | 20.3328 | − | 16.6467i | 0.783189 | − | 0.641205i | ||||
\(675\) | −1.04841 | + | 3.91272i | −0.0403533 | + | 0.150601i | ||||
\(676\) | 17.3991 | + | 3.50351i | 0.669198 | + | 0.134750i | ||||
\(677\) | −33.0346 | + | 8.85159i | −1.26962 | + | 0.340194i | −0.829886 | − | 0.557933i | \(-0.811595\pi\) |
−0.439736 | + | 0.898127i | \(0.644928\pi\) | |||||||
\(678\) | −8.37414 | − | 18.5401i | −0.321607 | − | 0.712030i | ||||
\(679\) | −2.70944 | + | 12.4979i | −0.103979 | + | 0.479626i | ||||
\(680\) | −65.0355 | − | 19.9794i | −2.49400 | − | 0.766175i | ||||
\(681\) | −2.41015 | − | 1.39150i | −0.0923570 | − | 0.0533223i | ||||
\(682\) | 0.139094 | − | 0.193624i | 0.00532620 | − | 0.00741426i | ||||
\(683\) | −1.63232 | + | 6.09189i | −0.0624589 | + | 0.233100i | −0.990098 | − | 0.140378i | \(-0.955168\pi\) |
0.927639 | + | 0.373478i | \(0.121835\pi\) | |||||||
\(684\) | −4.70568 | + | 9.48581i | −0.179926 | + | 0.362699i | ||||
\(685\) | 6.42554 | − | 6.42554i | 0.245507 | − | 0.245507i | ||||
\(686\) | −26.1644 | + | 1.19350i | −0.998961 | + | 0.0455682i | ||||
\(687\) | 14.2391i | 0.543256i | ||||||||
\(688\) | 11.3302 | + | 27.7221i | 0.431961 | + | 1.05690i | ||||
\(689\) | 7.55121 | − | 4.35970i | 0.287678 | − | 0.166091i | ||||
\(690\) | −20.1978 | + | 3.31024i | −0.768915 | + | 0.126019i | ||||
\(691\) | 8.56427 | − | 2.29479i | 0.325800 | − | 0.0872979i | −0.0922117 | − | 0.995739i | \(-0.529394\pi\) |
0.418012 | + | 0.908441i | \(0.362727\pi\) | |||||||
\(692\) | −23.3593 | + | 1.47582i | −0.887986 | + | 0.0561023i | ||||
\(693\) | 1.83538 | − | 1.18137i | 0.0697201 | − | 0.0448766i | ||||
\(694\) | −18.1081 | − | 40.0909i | −0.687373 | − | 1.52183i | ||||
\(695\) | 9.67774 | − | 16.7623i | 0.367098 | − | 0.635832i | ||||
\(696\) | −11.3626 | − | 7.12151i | −0.430700 | − | 0.269940i | ||||
\(697\) | 73.8359 | − | 42.6292i | 2.79673 | − | 1.61469i | ||||
\(698\) | −2.50875 | + | 25.1680i | −0.0949574 | + | 0.952621i | ||||
\(699\) | 4.14211 | − | 4.14211i | 0.156669 | − | 0.156669i | ||||
\(700\) | −2.38303 | − | 21.3016i | −0.0900700 | − | 0.805126i | ||||
\(701\) | 13.5638 | + | 13.5638i | 0.512296 | + | 0.512296i | 0.915229 | − | 0.402933i | \(-0.132009\pi\) |
−0.402933 | + | 0.915229i | \(0.632009\pi\) | |||||||
\(702\) | −1.81972 | − | 2.22267i | −0.0686809 | − | 0.0838891i | ||||
\(703\) | 19.0396 | + | 32.9775i | 0.718091 | + | 1.24377i | ||||
\(704\) | −4.31647 | − | 4.99269i | −0.162683 | − | 0.188169i | ||||
\(705\) | −30.9164 | − | 17.8496i | −1.16438 | − | 0.672254i | ||||
\(706\) | 12.9243 | − | 34.2168i | 0.486412 | − | 1.28777i | ||||
\(707\) | 2.77829 | − | 5.39857i | 0.104488 | − | 0.203034i | ||||
\(708\) | −0.892149 | − | 0.786118i | −0.0335290 | − | 0.0295441i | ||||
\(709\) | 11.2163 | + | 41.8597i | 0.421236 | + | 1.57207i | 0.772008 | + | 0.635613i | \(0.219252\pi\) |
−0.350772 | + | 0.936461i | \(0.614081\pi\) | |||||||
\(710\) | −15.5612 | + | 21.6617i | −0.584001 | + | 0.812949i | ||||
\(711\) | 0.423840 | + | 0.734113i | 0.0158953 | + | 0.0275314i | ||||
\(712\) | 35.7062 | + | 1.29515i | 1.33815 | + | 0.0485378i | ||||
\(713\) | 0.983007 | 0.0368139 | ||||||||
\(714\) | 20.0474 | + | 22.2058i | 0.750254 | + | 0.831033i | ||||
\(715\) | −3.56476 | − | 3.56476i | −0.133314 | − | 0.133314i | ||||
\(716\) | −15.6977 | + | 31.6438i | −0.586651 | + | 1.18258i | ||||
\(717\) | 8.95240 | + | 2.39879i | 0.334334 | + | 0.0895844i | ||||
\(718\) | −5.33186 | − | 32.5328i | −0.198983 | − | 1.21411i | ||||
\(719\) | −2.69817 | + | 4.67338i | −0.100625 | + | 0.174287i | −0.911942 | − | 0.410318i | \(-0.865418\pi\) |
0.811317 | + | 0.584606i | \(0.198751\pi\) | |||||||
\(720\) | −9.51244 | − | 7.37058i | −0.354508 | − | 0.274685i | ||||
\(721\) | 1.75444 | + | 1.59261i | 0.0653388 | + | 0.0593120i | ||||
\(722\) | −4.51294 | + | 11.9479i | −0.167954 | + | 0.444655i | ||||
\(723\) | −4.91559 | − | 18.3452i | −0.182813 | − | 0.682267i | ||||
\(724\) | −6.99487 | + | 4.65004i | −0.259962 | + | 0.172817i | ||||
\(725\) | −18.5506 | − | 4.97063i | −0.688954 | − | 0.184605i | ||||
\(726\) | −1.44754 | + | 14.5219i | −0.0537233 | + | 0.538957i | ||||
\(727\) | 40.1278i | 1.48826i | 0.668037 | + | 0.744128i | \(0.267135\pi\) | ||||
−0.668037 | + | 0.744128i | \(0.732865\pi\) | |||||||
\(728\) | 13.2544 | + | 7.44085i | 0.491241 | + | 0.275776i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | −55.8142 | − | 5.56357i | −2.06578 | − | 0.205917i | ||||
\(731\) | −57.8230 | − | 15.4936i | −2.13866 | − | 0.573052i | ||||
\(732\) | 2.98331 | − | 14.8157i | 0.110266 | − | 0.547605i | ||||
\(733\) | −12.0070 | − | 44.8108i | −0.443489 | − | 1.65513i | −0.719894 | − | 0.694084i | \(-0.755810\pi\) |
0.276405 | − | 0.961041i | \(-0.410857\pi\) | |||||||
\(734\) | 28.0546 | + | 10.5967i | 1.03551 | + | 0.391132i | ||||
\(735\) | −8.72098 | + | 19.1685i | −0.321678 | + | 0.707040i | ||||
\(736\) | 6.33531 | − | 26.4653i | 0.233523 | − | 0.975524i | ||||
\(737\) | 3.48748 | − | 6.04049i | 0.128463 | − | 0.222504i | ||||
\(738\) | 14.8816 | − | 2.43897i | 0.547799 | − | 0.0897796i | ||||
\(739\) | 26.1481 | + | 7.00636i | 0.961874 | + | 0.257733i | 0.705393 | − | 0.708816i | \(-0.250770\pi\) |
0.256480 | + | 0.966549i | \(0.417437\pi\) | |||||||
\(740\) | −41.0113 | + | 13.8138i | −1.50760 | + | 0.507807i | ||||
\(741\) | −7.60430 | − | 7.60430i | −0.279351 | − | 0.279351i | ||||
\(742\) | −15.7064 | + | 3.36018i | −0.576601 | + | 0.123356i | ||||
\(743\) | 14.8887 | 0.546212 | 0.273106 | − | 0.961984i | \(-0.411949\pi\) | ||||
0.273106 | + | 0.961984i | \(0.411949\pi\) | |||||||
\(744\) | 0.393599 | + | 0.423227i | 0.0144300 | + | 0.0155163i | ||||
\(745\) | −4.30558 | − | 7.45749i | −0.157744 | − | 0.273221i | ||||
\(746\) | −3.87561 | − | 2.78413i | −0.141896 | − | 0.101934i | ||||
\(747\) | −0.971317 | − | 3.62500i | −0.0355386 | − | 0.132632i | ||||
\(748\) | 13.1662 | − | 0.831829i | 0.481403 | − | 0.0304147i | ||||
\(749\) | −26.5816 | + | 1.28521i | −0.971272 | + | 0.0469606i | ||||
\(750\) | 3.77816 | + | 1.42708i | 0.137959 | + | 0.0521096i | ||||
\(751\) | −39.4324 | − | 22.7663i | −1.43891 | − | 0.830754i | −0.441135 | − | 0.897441i | \(-0.645424\pi\) |
−0.997774 | + | 0.0666865i | \(0.978757\pi\) | |||||||
\(752\) | 37.7924 | − | 28.7174i | 1.37815 | − | 1.04722i | ||||
\(753\) | 1.95386 | + | 3.38418i | 0.0712025 | + | 0.123326i | ||||
\(754\) | 10.5379 | − | 8.62751i | 0.383768 | − | 0.314195i | ||||
\(755\) | −28.2994 | − | 28.2994i | −1.02992 | − | 1.02992i | ||||
\(756\) | 1.92930 | + | 4.92725i | 0.0701679 | + | 0.179202i | ||||
\(757\) | 14.8396 | − | 14.8396i | 0.539355 | − | 0.539355i | −0.383984 | − | 0.923340i | \(-0.625448\pi\) |
0.923340 | + | 0.383984i | \(0.125448\pi\) | |||||||
\(758\) | −31.2382 | − | 3.11383i | −1.13462 | − | 0.113099i | ||||
\(759\) | 3.43700 | − | 1.98436i | 0.124755 | − | 0.0720275i | ||||
\(760\) | −38.1733 | − | 23.9251i | −1.38469 | − | 0.867854i | ||||
\(761\) | −10.9747 | + | 19.0088i | −0.397834 | + | 0.689068i | −0.993458 | − | 0.114195i | \(-0.963571\pi\) |
0.595625 | + | 0.803263i | \(0.296905\pi\) | |||||||
\(762\) | 5.77716 | − | 2.60941i | 0.209284 | − | 0.0945288i | ||||
\(763\) | 9.45638 | − | 18.3749i | 0.342344 | − | 0.665217i | ||||
\(764\) | −3.69904 | + | 4.19797i | −0.133827 | + | 0.151877i | ||||
\(765\) | 23.2345 | − | 6.22565i | 0.840044 | − | 0.225089i | ||||
\(766\) | −5.66252 | − | 34.5504i | −0.204595 | − | 1.24836i | ||||
\(767\) | 1.04584 | − | 0.603818i | 0.0377632 | − | 0.0218026i | ||||
\(768\) | 13.9311 | − | 7.86915i | 0.502696 | − | 0.283954i | ||||
\(769\) | − | 3.61831i | − | 0.130480i | −0.997870 | − | 0.0652398i | \(-0.979219\pi\) | ||
0.997870 | − | 0.0652398i | \(-0.0207812\pi\) | |||||||
\(770\) | 4.22692 | + | 8.26880i | 0.152328 | + | 0.297987i | ||||
\(771\) | 11.9961 | − | 11.9961i | 0.432029 | − | 0.432029i | ||||
\(772\) | 11.3544 | − | 3.82449i | 0.408652 | − | 0.137647i | ||||
\(773\) | −2.32091 | + | 8.66175i | −0.0834773 | + | 0.311541i | −0.995021 | − | 0.0996606i | \(-0.968224\pi\) |
0.911544 | + | 0.411202i | \(0.134891\pi\) | |||||||
\(774\) | −8.59937 | − | 6.17756i | −0.309098 | − | 0.222048i | ||||
\(775\) | 0.716837 | + | 0.413866i | 0.0257495 | + | 0.0148665i | ||||
\(776\) | −12.0796 | + | 6.40194i | −0.433632 | + | 0.229816i | ||||
\(777\) | 18.5970 | + | 4.03167i | 0.667164 | + | 0.144635i | ||||
\(778\) | −45.1531 | + | 20.3946i | −1.61882 | + | 0.731180i | ||||
\(779\) | 54.5322 | − | 14.6119i | 1.95382 | − | 0.523525i | ||||
\(780\) | 10.1778 | − | 6.76599i | 0.364424 | − | 0.242261i | ||||
\(781\) | 1.33856 | − | 4.99557i | 0.0478974 | − | 0.178756i | ||||
\(782\) | 34.4586 | + | 42.0889i | 1.23224 | + | 1.50510i | ||||
\(783\) | 4.74112 | 0.169434 | ||||||||
\(784\) | −19.0123 | − | 20.5556i | −0.679010 | − | 0.734129i | ||||
\(785\) | 17.7152 | 0.632282 | ||||||||
\(786\) | 7.70445 | + | 9.41047i | 0.274809 | + | 0.335660i | ||||
\(787\) | −4.78779 | + | 17.8683i | −0.170666 | + | 0.636936i | 0.826583 | + | 0.562815i | \(0.190282\pi\) |
−0.997249 | + | 0.0741206i | \(0.976385\pi\) | |||||||
\(788\) | −6.69453 | − | 10.0703i | −0.238483 | − | 0.358740i | ||||
\(789\) | −26.6049 | + | 7.12877i | −0.947161 | + | 0.253791i | ||||
\(790\) | −3.28681 | + | 1.48457i | −0.116939 | + | 0.0528187i | ||||
\(791\) | −37.1954 | − | 8.06363i | −1.32252 | − | 0.286710i | ||||
\(792\) | 2.23054 | + | 0.685238i | 0.0792587 | + | 0.0243489i | ||||
\(793\) | 13.2926 | + | 7.67446i | 0.472033 | + | 0.272528i | ||||
\(794\) | −4.51485 | − | 3.24335i | −0.160226 | − | 0.115102i | ||||
\(795\) | −3.34249 | + | 12.4743i | −0.118546 | + | 0.442419i | ||||
\(796\) | 12.0345 | + | 35.7285i | 0.426550 | + | 1.26636i | ||||
\(797\) | 14.4433 | − | 14.4433i | 0.511609 | − | 0.511609i | −0.403410 | − | 0.915019i | \(-0.632175\pi\) |
0.915019 | + | 0.403410i | \(0.132175\pi\) | |||||||
\(798\) | 9.01682 | + | 17.6389i | 0.319192 | + | 0.624411i | ||||
\(799\) | 94.8774i | 3.35652i | ||||||||
\(800\) | 15.7623 | − | 16.6320i | 0.557282 | − | 0.588028i | ||||
\(801\) | −10.9399 | + | 6.31617i | −0.386544 | + | 0.223171i | ||||
\(802\) | −5.01063 | − | 30.5728i | −0.176931 | − | 1.07956i | ||||
\(803\) | 10.5057 | − | 2.81500i | 0.370739 | − | 0.0993393i | ||||
\(804\) | 12.6867 | + | 11.1789i | 0.447427 | + | 0.394250i | ||||
\(805\) | −17.5216 | + | 34.0466i | −0.617554 | + | 1.19998i | ||||
\(806\) | −0.534946 | + | 0.241622i | −0.0188427 | + | 0.00851077i | ||||
\(807\) | 10.2328 | − | 17.7238i | 0.360212 | − | 0.623906i | ||||
\(808\) | 6.32635 | − | 1.45156i | 0.222560 | − | 0.0510657i | ||||
\(809\) | −21.1282 | + | 12.1984i | −0.742829 | + | 0.428873i | −0.823097 | − | 0.567901i | \(-0.807756\pi\) |
0.0802680 | + | 0.996773i | \(0.474422\pi\) | |||||||
\(810\) | 4.23360 | + | 0.422006i | 0.148754 | + | 0.0148278i | ||||
\(811\) | −11.8164 | + | 11.8164i | −0.414930 | + | 0.414930i | −0.883452 | − | 0.468522i | \(-0.844787\pi\) |
0.468522 | + | 0.883452i | \(0.344787\pi\) | |||||||
\(812\) | −23.3607 | + | 9.14703i | −0.819799 | + | 0.320998i | ||||
\(813\) | −11.7687 | − | 11.7687i | −0.412746 | − | 0.412746i | ||||
\(814\) | 6.49284 | − | 5.31576i | 0.227574 | − | 0.186317i | ||||
\(815\) | −23.1141 | − | 40.0348i | −0.809651 | − | 1.40236i | ||||
\(816\) | −4.32376 | + | 31.6885i | −0.151362 | + | 1.10932i | ||||
\(817\) | −34.3289 | − | 19.8198i | −1.20102 | − | 0.693407i | ||||
\(818\) | −22.6817 | − | 8.56730i | −0.793048 | − | 0.299549i | ||||
\(819\) | −5.36781 | + | 0.259531i | −0.187566 | + | 0.00906876i | ||||
\(820\) | 4.04550 | + | 64.0320i | 0.141275 | + | 2.23609i | ||||
\(821\) | −10.4790 | − | 39.1081i | −0.365719 | − | 1.36488i | −0.866443 | − | 0.499275i | \(-0.833600\pi\) |
0.500724 | − | 0.865607i | \(-0.333067\pi\) | |||||||
\(822\) | −3.46928 | − | 2.49224i | −0.121005 | − | 0.0869268i | ||||
\(823\) | 3.81253 | + | 6.60350i | 0.132897 | + | 0.230184i | 0.924792 | − | 0.380473i | \(-0.124239\pi\) |
−0.791895 | + | 0.610657i | \(0.790906\pi\) | |||||||
\(824\) | −0.0918210 | + | 2.53143i | −0.00319874 | + | 0.0881864i | ||||
\(825\) | 3.34182 | 0.116347 | ||||||||
\(826\) | −2.17534 | + | 0.465385i | −0.0756898 | + | 0.0161928i | ||||
\(827\) | −9.58229 | − | 9.58229i | −0.333209 | − | 0.333209i | 0.520595 | − | 0.853804i | \(-0.325710\pi\) |
−0.853804 | + | 0.520595i | \(0.825710\pi\) | |||||||
\(828\) | 3.07119 | + | 9.11791i | 0.106731 | + | 0.316869i | ||||
\(829\) | −20.0143 | − | 5.36281i | −0.695124 | − | 0.186258i | −0.106079 | − | 0.994358i | \(-0.533830\pi\) |
−0.589046 | + | 0.808100i | \(0.700496\pi\) | |||||||
\(830\) | 15.7567 | − | 2.58239i | 0.546924 | − | 0.0896362i | ||||
\(831\) | −5.34351 | + | 9.25523i | −0.185364 | + | 0.321060i | ||||
\(832\) | 3.05751 | + | 15.9594i | 0.106000 | + | 0.553294i | ||||
\(833\) | 55.7076 | − | 5.39950i | 1.93015 | − | 0.187082i | ||||
\(834\) | −8.51170 | − | 3.21502i | −0.294736 | − | 0.111327i | ||||
\(835\) | −14.1420 | − | 52.7787i | −0.489405 | − | 1.82648i | ||||
\(836\) | 8.56381 | + | 1.72442i | 0.296185 | + | 0.0596402i | ||||
\(837\) | −0.197378 | − | 0.0528873i | −0.00682238 | − | 0.00182805i | ||||
\(838\) | 21.2385 | + | 2.11706i | 0.733672 | + | 0.0731325i | ||||
\(839\) | − | 6.52851i | − | 0.225389i | −0.993630 | − | 0.112695i | \(-0.964052\pi\) | ||
0.993630 | − | 0.112695i | \(-0.0359482\pi\) | |||||||
\(840\) | −21.6742 | + | 6.08856i | −0.747831 | + | 0.210075i | ||||
\(841\) | − | 6.52182i | − | 0.224890i | ||||||
\(842\) | 3.71062 | − | 37.2252i | 0.127876 | − | 1.28287i | ||||
\(843\) | −10.9011 | − | 2.92094i | −0.375453 | − | 0.100602i | ||||
\(844\) | −9.53940 | − | 14.3497i | −0.328360 | − | 0.493939i | ||||
\(845\) | −6.90982 | − | 25.7878i | −0.237705 | − | 0.887128i | ||||
\(846\) | −5.92977 | + | 15.6989i | −0.203870 | + | 0.539741i | ||||
\(847\) | 20.2156 | + | 18.3510i | 0.694617 | + | 0.630546i | ||||
\(848\) | −13.5732 | − | 10.5170i | −0.466104 | − | 0.361154i | ||||
\(849\) | 13.9404 | − | 24.1455i | 0.478434 | − | 0.828672i | ||||
\(850\) | 7.40794 | + | 45.2002i | 0.254090 | + | 1.55036i | ||||
\(851\) | 33.4205 | + | 8.95499i | 1.14564 | + | 0.306973i | ||||
\(852\) | 11.2318 | + | 5.57181i | 0.384794 | + | 0.190887i | ||||
\(853\) | 28.7961 | + | 28.7961i | 0.985961 | + | 0.985961i | 0.999903 | − | 0.0139415i | \(-0.00443785\pi\) |
−0.0139415 | + | 0.999903i | \(0.504438\pi\) | |||||||
\(854\) | −18.9467 | − | 20.9867i | −0.648343 | − | 0.718150i | ||||
\(855\) | 15.9280 | 0.544727 | ||||||||
\(856\) | −19.3749 | − | 20.8333i | −0.662219 | − | 0.712068i | ||||
\(857\) | 15.9016 | + | 27.5423i | 0.543187 | + | 0.940827i | 0.998719 | + | 0.0506079i | \(0.0161159\pi\) |
−0.455532 | + | 0.890220i | \(0.650551\pi\) | |||||||
\(858\) | −1.38264 | + | 1.92468i | −0.0472026 | + | 0.0657076i | ||||
\(859\) | 1.66365 | + | 6.20882i | 0.0567629 | + | 0.211842i | 0.988482 | − | 0.151337i | \(-0.0483579\pi\) |
−0.931719 | + | 0.363179i | \(0.881691\pi\) | |||||||
\(860\) | 29.7823 | − | 33.7994i | 1.01557 | − | 1.15255i | ||||
\(861\) | 12.9098 | − | 25.0853i | 0.439964 | − | 0.854906i | ||||
\(862\) | 4.47285 | − | 11.8418i | 0.152346 | − | 0.403332i | ||||
\(863\) | −8.81292 | − | 5.08814i | −0.299995 | − | 0.173202i | 0.342446 | − | 0.939538i | \(-0.388745\pi\) |
−0.642441 | + | 0.766335i | \(0.722078\pi\) | |||||||
\(864\) | −2.69594 | + | 4.97312i | −0.0917178 | + | 0.169189i | ||||
\(865\) | 17.6038 | + | 30.4907i | 0.598547 | + | 1.03671i | ||||
\(866\) | 9.43867 | + | 11.5287i | 0.320739 | + | 0.391761i | ||||
\(867\) | −33.1833 | − | 33.1833i | −1.12697 | − | 1.12697i | ||||
\(868\) | 1.07457 | − | 0.120212i | 0.0364732 | − | 0.00408028i | ||||
\(869\) | 0.494499 | − | 0.494499i | 0.0167747 | − | 0.0167747i | ||||
\(870\) | −2.00078 | + | 20.0720i | −0.0678328 | + | 0.680505i | ||||
\(871\) | −14.8723 | + | 8.58654i | −0.503930 | + | 0.290944i | ||||
\(872\) | 21.5328 | − | 4.94062i | 0.729191 | − | 0.167311i | ||||
\(873\) | 2.41675 | − | 4.18593i | 0.0817945 | − | 0.141672i | ||||
\(874\) | 14.8268 | + | 32.8262i | 0.501525 | + | 1.11036i | ||||
\(875\) | 6.35335 | − | 4.08945i | 0.214783 | − | 0.138249i | ||||
\(876\) | 1.66255 | + | 26.3148i | 0.0561723 | + | 0.889094i | ||||
\(877\) | 5.73364 | − | 1.53632i | 0.193611 | − | 0.0518780i | −0.160710 | − | 0.987002i | \(-0.551378\pi\) |
0.354322 | + | 0.935124i | \(0.384712\pi\) | |||||||
\(878\) | 13.3340 | − | 2.18534i | 0.450002 | − | 0.0737515i | ||||
\(879\) | −3.20398 | + | 1.84982i | −0.108068 | + | 0.0623929i | ||||
\(880\) | −3.84233 | + | 9.15404i | −0.129525 | + | 0.308583i | ||||
\(881\) | 21.9325i | 0.738925i | 0.929246 | + | 0.369463i | \(0.120458\pi\) | ||||
−0.929246 | + | 0.369463i | \(0.879542\pi\) | |||||||
\(882\) | 9.55515 | + | 2.58825i | 0.321739 | + | 0.0871510i | ||||
\(883\) | −14.0677 | + | 14.0677i | −0.473416 | + | 0.473416i | −0.903018 | − | 0.429602i | \(-0.858654\pi\) |
0.429602 | + | 0.903018i | \(0.358654\pi\) | |||||||
\(884\) | −29.0976 | − | 14.4346i | −0.978657 | − | 0.485488i | ||||
\(885\) | −0.462934 | + | 1.72769i | −0.0155614 | + | 0.0580758i | ||||
\(886\) | −28.1517 | + | 39.1882i | −0.945776 | + | 1.31655i | ||||
\(887\) | 41.7804 | + | 24.1219i | 1.40285 | + | 0.809935i | 0.994684 | − | 0.102974i | \(-0.0328358\pi\) |
0.408164 | + | 0.912909i | \(0.366169\pi\) | |||||||
\(888\) | 9.52614 | + | 17.9746i | 0.319676 | + | 0.603187i | ||||
\(889\) | 2.51265 | − | 11.5902i | 0.0842716 | − | 0.388723i | ||||
\(890\) | −22.1235 | − | 48.9808i | −0.741580 | − | 1.64184i | ||||
\(891\) | −0.796878 | + | 0.213523i | −0.0266964 | + | 0.00715328i | ||||
\(892\) | −5.56371 | + | 27.6305i | −0.186287 | + | 0.925137i | ||||
\(893\) | −16.2604 | + | 60.6847i | −0.544134 | + | 2.03074i | ||||
\(894\) | −3.13213 | + | 2.56430i | −0.104754 | + | 0.0857632i | ||||
\(895\) | 53.1343 | 1.77608 | ||||||||
\(896\) | 3.68894 | − | 29.7051i | 0.123239 | − | 0.992377i | ||||
\(897\) | −9.77139 | −0.326257 | ||||||||
\(898\) | 18.4917 | − | 15.1393i | 0.617075 | − | 0.505206i | ||||
\(899\) | 0.250745 | − | 0.935792i | 0.00836281 | − | 0.0312104i | ||||
\(900\) | −1.59922 | + | 7.94207i | −0.0533075 | + | 0.264736i | ||||
\(901\) | 33.1529 | − | 8.88330i | 1.10448 | − | 0.295946i | ||||
\(902\) | −5.12112 | − | 11.3380i | −0.170515 | − | 0.377515i | ||||
\(903\) | −18.8639 | + | 6.04496i | −0.627753 | + | 0.201164i | ||||
\(904\) | −19.0530 | − | 35.9505i | −0.633693 | − | 1.19569i | ||||
\(905\) | 10.9420 | + | 6.31734i | 0.363723 | + | 0.209995i | ||||
\(906\) | −10.9763 | + | 15.2794i | −0.364664 | + | 0.507625i | ||||
\(907\) | 3.08024 | − | 11.4956i | 0.102278 | − | 0.381706i | −0.895744 | − | 0.444570i | \(-0.853357\pi\) |
0.998022 | + | 0.0628637i | \(0.0200233\pi\) | |||||||
\(908\) | −4.98618 | − | 2.47352i | −0.165472 | − | 0.0820867i | ||||
\(909\) | −1.62269 | + | 1.62269i | −0.0538211 | + | 0.0538211i | ||||
\(910\) | 1.16650 | − | 22.8347i | 0.0386689 | − | 0.756962i | ||||
\(911\) | − | 41.1178i | − | 1.36229i | −0.732147 | − | 0.681147i | \(-0.761482\pi\) | ||
0.732147 | − | 0.681147i | \(-0.238518\pi\) | |||||||
\(912\) | −8.19641 | + | 19.5273i | −0.271410 | + | 0.646613i | ||||
\(913\) | −2.68129 | + | 1.54804i | −0.0887376 | + | 0.0512327i | ||||
\(914\) | 28.7033 | − | 4.70423i | 0.949421 | − | 0.155602i | ||||
\(915\) | −21.9588 | + | 5.88385i | −0.725936 | + | 0.194514i | ||||
\(916\) | 1.79565 | + | 28.4215i | 0.0593300 | + | 0.939074i | ||||
\(917\) | 22.7266 | − | 1.09882i | 0.750497 | − | 0.0362862i | ||||
\(918\) | −4.65450 | − | 10.3050i | −0.153622 | − | 0.340114i | ||||
\(919\) | 29.4854 | − | 51.0701i | 0.972632 | − | 1.68465i | 0.285095 | − | 0.958499i | \(-0.407975\pi\) |
0.687538 | − | 0.726149i | \(-0.258692\pi\) | |||||||
\(920\) | −39.8977 | + | 9.15439i | −1.31539 | + | 0.301811i | ||||
\(921\) | −21.8743 | + | 12.6291i | −0.720781 | + | 0.416143i | ||||
\(922\) | −4.83166 | + | 48.4716i | −0.159122 | + | 1.59633i | ||||
\(923\) | −9.00395 | + | 9.00395i | −0.296369 | + | 0.296369i | ||||
\(924\) | 3.51447 | − | 2.58950i | 0.115617 | − | 0.0851882i | ||||
\(925\) | 20.6009 | + | 20.6009i | 0.677355 | + | 0.677355i | ||||
\(926\) | 31.4483 | + | 38.4120i | 1.03346 | + | 1.26230i | ||||
\(927\) | −0.447791 | − | 0.775598i | −0.0147074 | − | 0.0254740i | ||||
\(928\) | −23.5781 | − | 12.7818i | −0.773990 | − | 0.419582i | ||||
\(929\) | −33.6719 | − | 19.4405i | −1.10474 | − | 0.637821i | −0.167277 | − | 0.985910i | \(-0.553498\pi\) |
−0.937462 | + | 0.348089i | \(0.886831\pi\) | |||||||
\(930\) | 0.307199 | − | 0.813302i | 0.0100734 | − | 0.0266692i | ||||
\(931\) | 36.5566 | + | 6.09378i | 1.19809 | + | 0.199715i | ||||
\(932\) | 7.74538 | − | 8.79008i | 0.253708 | − | 0.287929i | ||||
\(933\) | 1.15380 | + | 4.30605i | 0.0377738 | + | 0.140974i | ||||
\(934\) | 7.55080 | − | 10.5110i | 0.247070 | − | 0.343929i | ||||
\(935\) | −9.92217 | − | 17.1857i | −0.324490 | − | 0.562033i | ||||
\(936\) | −3.91249 | − | 4.20701i | −0.127884 | − | 0.137510i | ||||
\(937\) | −42.9332 | −1.40257 | −0.701283 | − | 0.712883i | \(-0.747389\pi\) | ||||
−0.701283 | + | 0.712883i | \(0.747389\pi\) | |||||||
\(938\) | 30.9343 | − | 6.61797i | 1.01004 | − | 0.216084i | ||||
\(939\) | 15.0344 | + | 15.0344i | 0.490630 | + | 0.490630i | ||||
\(940\) | −63.9607 | − | 31.7294i | −2.08617 | − | 1.03490i | ||||
\(941\) | 27.1199 | + | 7.26675i | 0.884082 | + | 0.236889i | 0.672168 | − | 0.740399i | \(-0.265363\pi\) |
0.211915 | + | 0.977288i | \(0.432030\pi\) | |||||||
\(942\) | −1.34685 | − | 8.21793i | −0.0438827 | − | 0.267755i | ||||
\(943\) | 25.6485 | − | 44.4245i | 0.835229 | − | 1.44666i | ||||
\(944\) | −1.87988 | − | 1.45660i | −0.0611850 | − | 0.0474083i | ||||
\(945\) | 5.34991 | − | 5.89353i | 0.174033 | − | 0.191716i | ||||
\(946\) | −3.08660 | + | 8.17170i | −0.100354 | + | 0.265685i | ||||
\(947\) | 1.66261 | + | 6.20496i | 0.0540277 | + | 0.201634i | 0.987664 | − | 0.156588i | \(-0.0500496\pi\) |
−0.933636 | + | 0.358223i | \(0.883383\pi\) | |||||||
\(948\) | 0.938571 | + | 1.41186i | 0.0304834 | + | 0.0458549i | ||||
\(949\) | −25.8662 | − | 6.93084i | −0.839653 | − | 0.224984i | ||||
\(950\) | −3.00837 | + | 30.1802i | −0.0976044 | + | 0.979175i | ||||
\(951\) | 19.0933i | 0.619142i | ||||||||
\(952\) | 42.8153 | + | 41.7952i | 1.38765 | + | 1.35459i | ||||
\(953\) | − | 39.1114i | − | 1.26694i | −0.773766 | − | 0.633472i | \(-0.781629\pi\) | ||
0.773766 | − | 0.633472i | \(-0.218371\pi\) | |||||||
\(954\) | 6.04087 | + | 0.602155i | 0.195580 | + | 0.0194955i | ||||
\(955\) | 8.12959 | + | 2.17832i | 0.263067 | + | 0.0704887i | ||||
\(956\) | 18.1717 | + | 3.65907i | 0.587714 | + | 0.118343i | ||||
\(957\) | −1.01234 | − | 3.77809i | −0.0327242 | − | 0.122128i | ||||
\(958\) | 3.77390 | + | 1.42547i | 0.121929 | + | 0.0460548i | ||||
\(959\) | −7.61036 | + | 2.43874i | −0.245751 | + | 0.0787511i | ||||
\(960\) | −19.9165 | − | 13.5122i | −0.642802 | − | 0.436105i | ||||
\(961\) | 15.4791 | − | 26.8106i | 0.499327 | − | 0.864859i | ||||
\(962\) | −20.3883 | + | 3.34147i | −0.657346 | + | 0.107733i | ||||
\(963\) | 9.71591 | + | 2.60337i | 0.313091 | + | 0.0838924i | ||||
\(964\) | −12.1251 | − | 35.9976i | −0.390523 | − | 1.15940i | ||||
\(965\) | −12.7437 | − | 12.7437i | −0.410235 | − | 0.410235i | ||||
\(966\) | 17.1261 | + | 5.53962i | 0.551022 | + | 0.178234i | ||||
\(967\) | −24.4267 | −0.785511 | −0.392756 | − | 0.919643i | \(-0.628478\pi\) | ||||
−0.392756 | + | 0.919643i | \(0.628478\pi\) | |||||||
\(968\) | −1.05801 | + | 29.1685i | −0.0340058 | + | 0.937510i | ||||
\(969\) | −21.1659 | − | 36.6604i | −0.679946 | − | 1.17770i | ||||
\(970\) | 16.7017 | + | 11.9980i | 0.536259 | + | 0.385234i | ||||
\(971\) | −13.4268 | − | 50.1094i | −0.430886 | − | 1.60809i | −0.750724 | − | 0.660616i | \(-0.770295\pi\) |
0.319838 | − | 0.947472i | \(-0.396371\pi\) | |||||||
\(972\) | −0.126107 | − | 1.99602i | −0.00404489 | − | 0.0640224i | ||||
\(973\) | −14.3133 | + | 9.21299i | −0.458862 | + | 0.295355i | ||||
\(974\) | 15.6773 | + | 5.92158i | 0.502332 | + | 0.189740i | ||||
\(975\) | −7.12558 | − | 4.11395i | −0.228201 | − | 0.131752i | ||||
\(976\) | 4.08638 | − | 29.9487i | 0.130802 | − | 0.958634i | ||||
\(977\) | 1.58304 | + | 2.74190i | 0.0506459 | + | 0.0877212i | 0.890237 | − | 0.455498i | \(-0.150539\pi\) |
−0.839591 | + | 0.543219i | \(0.817205\pi\) | |||||||
\(978\) | −16.8145 | + | 13.7662i | −0.537668 | + | 0.440195i | ||||
\(979\) | 7.36914 | + | 7.36914i | 0.235519 | + | 0.235519i | ||||
\(980\) | −14.9900 | + | 39.3605i | −0.478837 | + | 1.25732i | ||||
\(981\) | −5.52307 | + | 5.52307i | −0.176338 | + | 0.176338i | ||||
\(982\) | −9.69607 | − | 0.966506i | −0.309414 | − | 0.0308424i | ||||
\(983\) | 22.0101 | − | 12.7075i | 0.702013 | − | 0.405307i | −0.106084 | − | 0.994357i | \(-0.533831\pi\) |
0.808097 | + | 0.589050i | \(0.200498\pi\) | |||||||
\(984\) | 29.3964 | − | 6.74490i | 0.937122 | − | 0.215020i | ||||
\(985\) | −9.09490 | + | 15.7528i | −0.289787 | + | 0.501927i | ||||
\(986\) | 48.8570 | − | 22.0675i | 1.55592 | − | 0.702774i | ||||
\(987\) | 16.9924 | + | 26.3993i | 0.540874 | + | 0.840300i | ||||
\(988\) | −16.1373 | − | 14.2194i | −0.513396 | − | 0.452379i | ||||
\(989\) | −34.7901 | + | 9.32197i | −1.10626 | + | 0.296421i | ||||
\(990\) | −0.567683 | − | 3.46377i | −0.0180422 | − | 0.110086i | ||||
\(991\) | −38.4403 | + | 22.1935i | −1.22110 | + | 0.705000i | −0.965152 | − | 0.261692i | \(-0.915720\pi\) |
−0.255944 | + | 0.966692i | \(0.582386\pi\) | |||||||
\(992\) | 0.839003 | + | 0.795134i | 0.0266384 | + | 0.0252455i | ||||
\(993\) | 14.5334i | 0.461203i | ||||||||
\(994\) | 20.8855 | − | 10.6765i | 0.662449 | − | 0.338637i | ||||
\(995\) | 40.1004 | − | 40.1004i | 1.27127 | − | 1.27127i | ||||
\(996\) | −2.39591 | − | 7.11309i | −0.0759172 | − | 0.225387i | ||||
\(997\) | 4.26345 | − | 15.9114i | 0.135025 | − | 0.503919i | −0.864973 | − | 0.501818i | \(-0.832665\pi\) |
0.999998 | − | 0.00210078i | \(-0.000668699\pi\) | |||||||
\(998\) | −14.0787 | − | 10.1137i | −0.445653 | − | 0.320145i | ||||
\(999\) | −6.22871 | − | 3.59615i | −0.197068 | − | 0.113777i |
(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 | 336.2.bs.a.19.8 | ✓ | 128 | |
7.3 | odd | 6 | inner | 336.2.bs.a.115.14 | yes | 128 | |
16.11 | odd | 4 | inner | 336.2.bs.a.187.14 | yes | 128 | |
112.59 | even | 12 | inner | 336.2.bs.a.283.8 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.bs.a.19.8 | ✓ | 128 | 1.1 | even | 1 | trivial | |
336.2.bs.a.115.14 | yes | 128 | 7.3 | odd | 6 | inner | |
336.2.bs.a.187.14 | yes | 128 | 16.11 | odd | 4 | inner | |
336.2.bs.a.283.8 | yes | 128 | 112.59 | even | 12 | inner |