Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [471,2,Mod(50,471)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(471, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("471.50");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 471 = 3 \cdot 157 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 471.l (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: | \(3.76095393520\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 50.1 | ||
Character | \(\chi\) | \(=\) | 471.50 |
Dual form | 471.2.l.b.179.1 |
$q$-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 \(\left(\mathbb{Z}/471\mathbb{Z}\right)^\times\).
\(n\) | \(158\) | \(319\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.96449 | + | 1.96449i | −1.38911 | + | 1.38911i | −0.561906 | + | 0.827201i | \(0.689932\pi\) |
−0.827201 | + | 0.561906i | \(0.810068\pi\) | |||||||
\(3\) | 1.24725 | − | 1.20182i | 0.720099 | − | 0.693871i | ||||
\(4\) | − | 5.71848i | − | 2.85924i | ||||||
\(5\) | 0.309034 | + | 1.15333i | 0.138204 | + | 0.515786i | 0.999964 | + | 0.00846922i | \(0.00269587\pi\) |
−0.861760 | + | 0.507317i | \(0.830637\pi\) | |||||||
\(6\) | −0.0892417 | + | 4.81118i | −0.0364328 | + | 1.96416i | ||||
\(7\) | 0.541767 | − | 0.541767i | 0.204769 | − | 0.204769i | −0.597271 | − | 0.802040i | \(-0.703748\pi\) |
0.802040 | + | 0.597271i | \(0.203748\pi\) | |||||||
\(8\) | 7.30492 | + | 7.30492i | 2.58268 | + | 2.58268i | ||||
\(9\) | 0.111255 | − | 2.99794i | 0.0370849 | − | 0.999312i | ||||
\(10\) | −2.87281 | − | 1.65862i | −0.908463 | − | 0.524501i | ||||
\(11\) | 1.31307 | + | 0.758101i | 0.395906 | + | 0.228576i | 0.684716 | − | 0.728810i | \(-0.259926\pi\) |
−0.288810 | + | 0.957386i | \(0.593260\pi\) | |||||||
\(12\) | −6.87258 | − | 7.13236i | −1.98394 | − | 2.05893i | ||||
\(13\) | 2.56534 | − | 1.48110i | 0.711497 | − | 0.410783i | −0.100118 | − | 0.994976i | \(-0.531922\pi\) |
0.811615 | + | 0.584192i | \(0.198589\pi\) | |||||||
\(14\) | 2.12860i | 0.568891i | ||||||||
\(15\) | 1.77154 | + | 1.06709i | 0.457410 | + | 0.275521i | ||||
\(16\) | −17.2640 | −4.31600 | ||||||||
\(17\) | −5.32373 | − | 3.07366i | −1.29119 | − | 0.745471i | −0.312328 | − | 0.949974i | \(-0.601109\pi\) |
−0.978866 | + | 0.204503i | \(0.934442\pi\) | |||||||
\(18\) | 5.67087 | + | 6.10799i | 1.33664 | + | 1.43967i | ||||
\(19\) | −0.00374694 | + | 0.00648989i | −0.000859607 | + | 0.00148888i | −0.866455 | − | 0.499255i | \(-0.833607\pi\) |
0.865595 | + | 0.500744i | \(0.166940\pi\) | |||||||
\(20\) | 6.59530 | − | 1.76721i | 1.47475 | − | 0.395159i | ||||
\(21\) | 0.0246110 | − | 1.32682i | 0.00537057 | − | 0.289537i | ||||
\(22\) | −4.06880 | + | 1.09023i | −0.867472 | + | 0.232438i | ||||
\(23\) | 0.588702 | + | 0.588702i | 0.122753 | + | 0.122753i | 0.765814 | − | 0.643062i | \(-0.222336\pi\) |
−0.643062 | + | 0.765814i | \(0.722336\pi\) | |||||||
\(24\) | 17.8903 | + | 0.331843i | 3.65183 | + | 0.0677372i | ||||
\(25\) | 3.09545 | − | 1.78716i | 0.619091 | − | 0.357432i | ||||
\(26\) | −2.12998 | + | 7.94921i | −0.417724 | + | 1.55897i | ||||
\(27\) | −3.46422 | − | 3.87288i | −0.666689 | − | 0.745336i | ||||
\(28\) | −3.09808 | − | 3.09808i | −0.585482 | − | 0.585482i | ||||
\(29\) | 4.12702 | − | 4.12702i | 0.766369 | − | 0.766369i | −0.211096 | − | 0.977465i | \(-0.567703\pi\) |
0.977465 | + | 0.211096i | \(0.0677033\pi\) | |||||||
\(30\) | −5.57647 | + | 1.38390i | −1.01812 | + | 0.252664i | ||||
\(31\) | 4.08023 | − | 2.35572i | 0.732831 | − | 0.423100i | −0.0866257 | − | 0.996241i | \(-0.527608\pi\) |
0.819457 | + | 0.573141i | \(0.194275\pi\) | |||||||
\(32\) | 19.3052 | − | 19.3052i | 3.41271 | − | 3.41271i | ||||
\(33\) | 2.54883 | − | 0.632534i | 0.443694 | − | 0.110110i | ||||
\(34\) | 16.4966 | − | 4.42026i | 2.82915 | − | 0.758068i | ||||
\(35\) | 0.792262 | + | 0.457413i | 0.133917 | + | 0.0773168i | ||||
\(36\) | −17.1436 | − | 0.636207i | −2.85727 | − | 0.106035i | ||||
\(37\) | 4.71018 | + | 8.15826i | 0.774348 | + | 1.34121i | 0.935160 | + | 0.354225i | \(0.115255\pi\) |
−0.160812 | + | 0.986985i | \(0.551411\pi\) | |||||||
\(38\) | −0.00538851 | − | 0.0201102i | −0.000874132 | − | 0.00326230i | ||||
\(39\) | 1.41960 | − | 4.93038i | 0.227318 | − | 0.789492i | ||||
\(40\) | −6.16753 | + | 10.6825i | −0.975172 | + | 1.68905i | ||||
\(41\) | 6.88990 | − | 6.88990i | 1.07602 | − | 1.07602i | 0.0791595 | − | 0.996862i | \(-0.474776\pi\) |
0.996862 | − | 0.0791595i | \(-0.0252237\pi\) | |||||||
\(42\) | 2.55819 | + | 2.65489i | 0.394737 | + | 0.409658i | ||||
\(43\) | 1.01943 | − | 3.80457i | 0.155462 | − | 0.580191i | −0.843604 | − | 0.536966i | \(-0.819570\pi\) |
0.999065 | − | 0.0432247i | \(-0.0137631\pi\) | |||||||
\(44\) | 4.33518 | − | 7.50876i | 0.653554 | − | 1.13199i | ||||
\(45\) | 3.49200 | − | 0.798152i | 0.520556 | − | 0.118981i | ||||
\(46\) | −2.31300 | −0.341034 | ||||||||
\(47\) | −9.16831 | + | 5.29333i | −1.33734 | + | 0.772111i | −0.986412 | − | 0.164293i | \(-0.947466\pi\) |
−0.350924 | + | 0.936404i | \(0.614132\pi\) | |||||||
\(48\) | −21.5325 | + | 20.7482i | −3.10795 | + | 2.99475i | ||||
\(49\) | 6.41298i | 0.916140i | ||||||||
\(50\) | −2.57013 | + | 9.59187i | −0.363472 | + | 1.35650i | ||||
\(51\) | −10.3340 | + | 2.56456i | −1.44705 | + | 0.359110i | ||||
\(52\) | −8.46963 | − | 14.6698i | −1.17453 | − | 2.03434i | ||||
\(53\) | −0.178270 | + | 0.665312i | −0.0244872 | + | 0.0913876i | −0.977088 | − | 0.212836i | \(-0.931730\pi\) |
0.952601 | + | 0.304223i | \(0.0983968\pi\) | |||||||
\(54\) | 14.4137 | + | 0.802807i | 1.96145 | + | 0.109248i | ||||
\(55\) | −0.468559 | + | 1.74869i | −0.0631805 | + | 0.235793i | ||||
\(56\) | 7.91513 | 1.05770 | ||||||||
\(57\) | 0.00312632 | + | 0.0125977i | 0.000414091 | + | 0.00166860i | ||||
\(58\) | 16.2150i | 2.12914i | ||||||||
\(59\) | 2.91251 | − | 2.91251i | 0.379176 | − | 0.379176i | −0.491629 | − | 0.870805i | \(-0.663598\pi\) |
0.870805 | + | 0.491629i | \(0.163598\pi\) | |||||||
\(60\) | 6.10211 | − | 10.1305i | 0.787779 | − | 1.30784i | ||||
\(61\) | −7.70188 | + | 2.06371i | −0.986125 | + | 0.264231i | −0.715622 | − | 0.698488i | \(-0.753857\pi\) |
−0.270503 | + | 0.962719i | \(0.587190\pi\) | |||||||
\(62\) | −3.38779 | + | 12.6434i | −0.430250 | + | 1.60571i | ||||
\(63\) | −1.56391 | − | 1.68446i | −0.197034 | − | 0.212222i | ||||
\(64\) | 41.3219i | 5.16524i | ||||||||
\(65\) | 2.50098 | + | 2.50098i | 0.310208 | + | 0.310208i | ||||
\(66\) | −3.76454 | + | 6.24976i | −0.463383 | + | 0.769293i | ||||
\(67\) | 12.8409 | 1.56876 | 0.784381 | − | 0.620279i | \(-0.212981\pi\) | ||||
0.784381 | + | 0.620279i | \(0.212981\pi\) | |||||||
\(68\) | −17.5766 | + | 30.4436i | −2.13148 | + | 3.69183i | ||||
\(69\) | 1.44177 | + | 0.0267432i | 0.173569 | + | 0.00321950i | ||||
\(70\) | −2.45498 | + | 0.657809i | −0.293426 | + | 0.0786233i | ||||
\(71\) | 2.72295 | − | 1.57210i | 0.323155 | − | 0.186573i | −0.329643 | − | 0.944106i | \(-0.606928\pi\) |
0.652798 | + | 0.757532i | \(0.273595\pi\) | |||||||
\(72\) | 22.7124 | − | 21.0870i | 2.67668 | − | 2.48513i | ||||
\(73\) | −7.31642 | + | 1.96043i | −0.856323 | + | 0.229451i | −0.660164 | − | 0.751121i | \(-0.729513\pi\) |
−0.196158 | + | 0.980572i | \(0.562847\pi\) | |||||||
\(74\) | −25.2800 | − | 6.77375i | −2.93874 | − | 0.787432i | ||||
\(75\) | 1.71295 | − | 5.94921i | 0.197795 | − | 0.686956i | ||||
\(76\) | 0.0371123 | + | 0.0214268i | 0.00425707 | + | 0.00245782i | ||||
\(77\) | 1.12209 | − | 0.300664i | 0.127874 | − | 0.0342638i | ||||
\(78\) | 6.89690 | + | 12.4745i | 0.780921 | + | 1.41246i | ||||
\(79\) | 10.9814 | − | 10.9814i | 1.23550 | − | 1.23550i | 0.273681 | − | 0.961821i | \(-0.411759\pi\) |
0.961821 | − | 0.273681i | \(-0.0882412\pi\) | |||||||
\(80\) | −5.33517 | − | 19.9111i | −0.596491 | − | 2.22613i | ||||
\(81\) | −8.97524 | − | 0.667069i | −0.997249 | − | 0.0741188i | ||||
\(82\) | 27.0703i | 2.98942i | ||||||||
\(83\) | 0.00582342 | − | 0.0217333i | 0.000639204 | − | 0.00238554i | −0.965605 | − | 0.260012i | \(-0.916274\pi\) |
0.966245 | + | 0.257626i | \(0.0829403\pi\) | |||||||
\(84\) | −7.58741 | − | 0.140738i | −0.827854 | − | 0.0153557i | ||||
\(85\) | 1.89973 | − | 7.08990i | 0.206055 | − | 0.769007i | ||||
\(86\) | 5.47138 | + | 9.47672i | 0.589995 | + | 1.02190i | ||||
\(87\) | 0.187480 | − | 10.1074i | 0.0200999 | − | 1.08362i | ||||
\(88\) | 4.05400 | + | 15.1298i | 0.432158 | + | 1.61284i | ||||
\(89\) | −12.2712 | − | 7.08476i | −1.30074 | − | 0.750983i | −0.320209 | − | 0.947347i | \(-0.603753\pi\) |
−0.980531 | + | 0.196364i | \(0.937087\pi\) | |||||||
\(90\) | −5.29205 | + | 8.42798i | −0.557831 | + | 0.888387i | ||||
\(91\) | 0.587405 | − | 2.19223i | 0.0615768 | − | 0.229808i | ||||
\(92\) | 3.36648 | − | 3.36648i | 0.350979 | − | 0.350979i | ||||
\(93\) | 2.25790 | − | 7.84188i | 0.234134 | − | 0.813165i | ||||
\(94\) | 7.61238 | − | 28.4098i | 0.785157 | − | 2.93025i | ||||
\(95\) | −0.00864293 | − | 0.00231587i | −0.000886746 | − | 0.000237603i | ||||
\(96\) | 0.876984 | − | 47.2798i | 0.0895068 | − | 4.82547i | ||||
\(97\) | −5.87011 | − | 1.57289i | −0.596019 | − | 0.159703i | −0.0518164 | − | 0.998657i | \(-0.516501\pi\) |
−0.544203 | + | 0.838954i | \(0.683168\pi\) | |||||||
\(98\) | −12.5983 | − | 12.5983i | −1.27262 | − | 1.27262i | ||||
\(99\) | 2.41883 | − | 3.85216i | 0.243101 | − | 0.387157i | ||||
\(100\) | −10.2198 | − | 17.7013i | −1.02198 | − | 1.77013i | ||||
\(101\) | 13.8430i | 1.37743i | 0.725031 | + | 0.688717i | \(0.241826\pi\) | ||||
−0.725031 | + | 0.688717i | \(0.758174\pi\) | |||||||
\(102\) | 15.2630 | − | 25.3391i | 1.51126 | − | 2.50895i | ||||
\(103\) | 4.37535 | + | 4.37535i | 0.431116 | + | 0.431116i | 0.889008 | − | 0.457892i | \(-0.151395\pi\) |
−0.457892 | + | 0.889008i | \(0.651395\pi\) | |||||||
\(104\) | 29.5589 | + | 7.92029i | 2.89849 | + | 0.776649i | ||||
\(105\) | 1.53787 | − | 0.381650i | 0.150081 | − | 0.0372452i | ||||
\(106\) | −0.956791 | − | 1.65721i | −0.0929317 | − | 0.160963i | ||||
\(107\) | 10.1518 | + | 2.72016i | 0.981409 | + | 0.262968i | 0.713638 | − | 0.700515i | \(-0.247046\pi\) |
0.267771 | + | 0.963482i | \(0.413713\pi\) | |||||||
\(108\) | −22.1470 | + | 19.8101i | −2.13109 | + | 1.90622i | ||||
\(109\) | −5.50360 | + | 9.53251i | −0.527149 | + | 0.913049i | 0.472351 | + | 0.881411i | \(0.343406\pi\) |
−0.999499 | + | 0.0316378i | \(0.989928\pi\) | |||||||
\(110\) | −2.51480 | − | 4.35576i | −0.239777 | − | 0.415306i | ||||
\(111\) | 15.6795 | + | 4.51459i | 1.48823 | + | 0.428506i | ||||
\(112\) | −9.35307 | + | 9.35307i | −0.883782 | + | 0.883782i | ||||
\(113\) | 8.16907 | + | 4.71642i | 0.768482 | + | 0.443683i | 0.832333 | − | 0.554276i | \(-0.187005\pi\) |
−0.0638509 | + | 0.997959i | \(0.520338\pi\) | |||||||
\(114\) | −0.0308897 | − | 0.0186064i | −0.00289308 | − | 0.00174265i | ||||
\(115\) | −0.497040 | + | 0.860898i | −0.0463492 | + | 0.0802791i | ||||
\(116\) | −23.6003 | − | 23.6003i | −2.19123 | − | 2.19123i | ||||
\(117\) | −4.15484 | − | 7.85551i | −0.384115 | − | 0.726242i | ||||
\(118\) | 11.4432i | 1.05343i | ||||||||
\(119\) | −4.54943 | + | 1.21901i | −0.417045 | + | 0.111747i | ||||
\(120\) | 5.14598 | + | 20.7360i | 0.469762 | + | 1.89293i | ||||
\(121\) | −4.35056 | − | 7.53540i | −0.395506 | − | 0.685036i | ||||
\(122\) | 11.0762 | − | 19.1845i | 1.00279 | − | 1.73688i | ||||
\(123\) | 0.312990 | − | 16.8738i | 0.0282213 | − | 1.52146i | ||||
\(124\) | −13.4711 | − | 23.3327i | −1.20974 | − | 2.09534i | ||||
\(125\) | 7.23928 | + | 7.23928i | 0.647501 | + | 0.647501i | ||||
\(126\) | 6.38139 | + | 0.236816i | 0.568500 | + | 0.0210973i | ||||
\(127\) | −7.18114 | + | 4.14603i | −0.637223 | + | 0.367901i | −0.783544 | − | 0.621336i | \(-0.786590\pi\) |
0.146321 | + | 0.989237i | \(0.453257\pi\) | |||||||
\(128\) | −42.5662 | − | 42.5662i | −3.76236 | − | 3.76236i | ||||
\(129\) | −3.30092 | − | 5.97041i | −0.290630 | − | 0.525665i | ||||
\(130\) | −9.82632 | −0.861825 | ||||||||
\(131\) | −13.7967 | − | 3.69682i | −1.20542 | − | 0.322992i | −0.400459 | − | 0.916315i | \(-0.631149\pi\) |
−0.804965 | + | 0.593323i | \(0.797816\pi\) | |||||||
\(132\) | −3.61713 | − | 14.5754i | −0.314831 | − | 1.26863i | ||||
\(133\) | 0.00148604 | + | 0.00554598i | 0.000128856 | + | 0.000480897i | ||||
\(134\) | −25.2258 | + | 25.2258i | −2.17918 | + | 2.17918i | ||||
\(135\) | 3.39615 | − | 5.19225i | 0.292294 | − | 0.446878i | ||||
\(136\) | −16.4366 | − | 61.3423i | −1.40943 | − | 5.26006i | ||||
\(137\) | 1.40183 | + | 5.23168i | 0.119766 | + | 0.446973i | 0.999599 | − | 0.0283097i | \(-0.00901247\pi\) |
−0.879833 | + | 0.475283i | \(0.842346\pi\) | |||||||
\(138\) | −2.88489 | + | 2.77981i | −0.245578 | + | 0.236633i | ||||
\(139\) | −19.0911 | − | 5.11545i | −1.61929 | − | 0.433887i | −0.668496 | − | 0.743716i | \(-0.733062\pi\) |
−0.950792 | + | 0.309828i | \(0.899728\pi\) | |||||||
\(140\) | 2.61570 | − | 4.53053i | 0.221067 | − | 0.382900i | ||||
\(141\) | −5.07353 | + | 17.6208i | −0.427268 | + | 1.48394i | ||||
\(142\) | −2.26085 | + | 8.43759i | −0.189726 | + | 0.708067i | ||||
\(143\) | 4.49130 | 0.375581 | ||||||||
\(144\) | −1.92070 | + | 51.7564i | −0.160058 | + | 4.31303i | ||||
\(145\) | 6.03522 | + | 3.48444i | 0.501198 | + | 0.289367i | ||||
\(146\) | 10.5218 | − | 18.2243i | 0.870792 | − | 1.50826i | ||||
\(147\) | 7.70725 | + | 7.99857i | 0.635683 | + | 0.659711i | ||||
\(148\) | 46.6528 | − | 26.9350i | 3.83484 | − | 2.21405i | ||||
\(149\) | 1.08749 | − | 1.08749i | 0.0890910 | − | 0.0890910i | −0.661157 | − | 0.750248i | \(-0.729934\pi\) |
0.750248 | + | 0.661157i | \(0.229934\pi\) | |||||||
\(150\) | 8.32211 | + | 15.0523i | 0.679498 | + | 1.22901i | ||||
\(151\) | 3.39495 | − | 0.909674i | 0.276277 | − | 0.0740283i | −0.118020 | − | 0.993011i | \(-0.537655\pi\) |
0.394297 | + | 0.918983i | \(0.370988\pi\) | |||||||
\(152\) | −0.0747793 | + | 0.0200370i | −0.00606540 | + | 0.00162522i | ||||
\(153\) | −9.80692 | + | 15.6182i | −0.792842 | + | 1.26266i | ||||
\(154\) | −1.61369 | + | 2.79500i | −0.130035 | + | 0.225227i | ||||
\(155\) | 3.97786 | + | 3.97786i | 0.319510 | + | 0.319510i | ||||
\(156\) | −28.1942 | − | 8.11794i | −2.25735 | − | 0.649955i | ||||
\(157\) | 0.851339 | + | 12.5010i | 0.0679443 | + | 0.997689i | ||||
\(158\) | 43.1457i | 3.43249i | ||||||||
\(159\) | 0.577239 | + | 1.04406i | 0.0457780 | + | 0.0827991i | ||||
\(160\) | 28.2313 | + | 16.2993i | 2.23188 | + | 1.28858i | ||||
\(161\) | 0.637878 | 0.0502718 | ||||||||
\(162\) | 18.9423 | − | 16.3214i | 1.48825 | − | 1.28233i | ||||
\(163\) | 1.80318 | + | 6.72957i | 0.141236 | + | 0.527100i | 0.999894 | + | 0.0145515i | \(0.00463204\pi\) |
−0.858658 | + | 0.512549i | \(0.828701\pi\) | |||||||
\(164\) | −39.3997 | − | 39.3997i | −3.07660 | − | 3.07660i | ||||
\(165\) | 1.51720 | + | 2.74417i | 0.118114 | + | 0.213633i | ||||
\(166\) | 0.0312549 | + | 0.0541351i | 0.00242585 | + | 0.00420169i | ||||
\(167\) | −3.84807 | + | 6.66505i | −0.297772 | + | 0.515757i | −0.975626 | − | 0.219440i | \(-0.929577\pi\) |
0.677854 | + | 0.735197i | \(0.262910\pi\) | |||||||
\(168\) | 9.87213 | − | 9.51257i | 0.761651 | − | 0.733910i | ||||
\(169\) | −2.11269 | + | 3.65928i | −0.162514 | + | 0.281483i | ||||
\(170\) | 10.1960 | + | 17.6601i | 0.782001 | + | 1.35447i | ||||
\(171\) | 0.0190394 | + | 0.0119551i | 0.00145598 | + | 0.000914231i | ||||
\(172\) | −21.7563 | − | 5.82959i | −1.65890 | − | 0.444502i | ||||
\(173\) | − | 8.93317i | − | 0.679176i | −0.940574 | − | 0.339588i | \(-0.889712\pi\) | ||
0.940574 | − | 0.339588i | \(-0.110288\pi\) | |||||||
\(174\) | 19.4876 | + | 20.2242i | 1.47735 | + | 1.53319i | ||||
\(175\) | 0.708790 | − | 2.64524i | 0.0535795 | − | 0.199961i | ||||
\(176\) | −22.6689 | − | 13.0879i | −1.70873 | − | 0.986535i | ||||
\(177\) | 0.132307 | − | 7.13292i | 0.00994483 | − | 0.536143i | ||||
\(178\) | 38.0246 | − | 10.1887i | 2.85006 | − | 0.763672i | ||||
\(179\) | 6.90624 | + | 25.7745i | 0.516197 | + | 1.92647i | 0.330126 | + | 0.943937i | \(0.392909\pi\) |
0.186071 | + | 0.982536i | \(0.440425\pi\) | |||||||
\(180\) | −4.56421 | − | 19.9689i | −0.340196 | − | 1.48839i | ||||
\(181\) | −0.143431 | + | 0.0384323i | −0.0106612 | + | 0.00285665i | −0.264146 | − | 0.964483i | \(-0.585090\pi\) |
0.253485 | + | 0.967339i | \(0.418423\pi\) | |||||||
\(182\) | 3.15266 | + | 5.46057i | 0.233691 | + | 0.404764i | ||||
\(183\) | −7.12595 | + | 11.8302i | −0.526765 | + | 0.874517i | ||||
\(184\) | 8.60084i | 0.634063i | ||||||||
\(185\) | −7.95358 | + | 7.95358i | −0.584759 | + | 0.584759i | ||||
\(186\) | 10.9697 | + | 19.8410i | 0.804336 | + | 1.45481i | ||||
\(187\) | −4.66029 | − | 8.07186i | −0.340794 | − | 0.590273i | ||||
\(188\) | 30.2698 | + | 52.4288i | 2.20765 | + | 3.82376i | ||||
\(189\) | −3.97500 | − | 0.221398i | −0.289138 | − | 0.0161043i | ||||
\(190\) | 0.0215285 | − | 0.0124295i | 0.00156184 | − | 0.000901730i | ||||
\(191\) | −5.63406 | − | 21.0266i | −0.407666 | − | 1.52143i | −0.799085 | − | 0.601218i | \(-0.794682\pi\) |
0.391419 | − | 0.920212i | \(-0.371984\pi\) | |||||||
\(192\) | 49.6615 | + | 51.5386i | 3.58401 | + | 3.71948i | ||||
\(193\) | −17.5879 | + | 10.1544i | −1.26601 | + | 0.730928i | −0.974230 | − | 0.225558i | \(-0.927579\pi\) |
−0.291776 | + | 0.956487i | \(0.594246\pi\) | |||||||
\(194\) | 14.6217 | − | 8.44186i | 1.04978 | − | 0.606090i | ||||
\(195\) | 6.12507 | + | 0.113613i | 0.438625 | + | 0.00813598i | ||||
\(196\) | 36.6725 | 2.61946 | ||||||||
\(197\) | −8.27273 | − | 4.77626i | −0.589407 | − | 0.340295i | 0.175456 | − | 0.984487i | \(-0.443860\pi\) |
−0.764863 | + | 0.644193i | \(0.777193\pi\) | |||||||
\(198\) | 2.81578 | + | 12.3193i | 0.200108 | + | 0.875495i | ||||
\(199\) | −9.05741 | − | 5.22930i | −0.642063 | − | 0.370695i | 0.143346 | − | 0.989673i | \(-0.454214\pi\) |
−0.785409 | + | 0.618977i | \(0.787547\pi\) | |||||||
\(200\) | 35.6671 | + | 9.55698i | 2.52205 | + | 0.675780i | ||||
\(201\) | 16.0158 | − | 15.4324i | 1.12966 | − | 1.08852i | ||||
\(202\) | −27.1946 | − | 27.1946i | −1.91340 | − | 1.91340i | ||||
\(203\) | − | 4.47177i | − | 0.313857i | ||||||
\(204\) | 14.6654 | + | 59.0947i | 1.02678 | + | 4.13746i | ||||
\(205\) | 10.0756 | + | 5.81713i | 0.703708 | + | 0.406286i | ||||
\(206\) | −17.1907 | −1.19773 | ||||||||
\(207\) | 1.83039 | − | 1.69939i | 0.127221 | − | 0.118116i | ||||
\(208\) | −44.2881 | + | 25.5697i | −3.07082 | + | 1.77294i | ||||
\(209\) | −0.00983999 | + | 0.00568112i | −0.000680646 | + | 0.000392971i | ||||
\(210\) | −2.27140 | + | 3.77089i | −0.156741 | + | 0.260216i | ||||
\(211\) | −6.03975 | + | 6.03975i | −0.415793 | + | 0.415793i | −0.883751 | − | 0.467958i | \(-0.844990\pi\) |
0.467958 | + | 0.883751i | \(0.344990\pi\) | |||||||
\(212\) | 3.80457 | + | 1.01943i | 0.261299 | + | 0.0700148i | ||||
\(213\) | 1.50682 | − | 5.23329i | 0.103245 | − | 0.358579i | ||||
\(214\) | −25.2868 | + | 14.5994i | −1.72857 | + | 0.997992i | ||||
\(215\) | 4.70297 | 0.320740 | ||||||||
\(216\) | 2.98522 | − | 53.5969i | 0.203118 | − | 3.64681i | ||||
\(217\) | 0.934282 | − | 3.48679i | 0.0634232 | − | 0.236699i | ||||
\(218\) | −7.91477 | − | 29.5383i | −0.536056 | − | 2.00059i | ||||
\(219\) | −6.76931 | + | 11.2382i | −0.457428 | + | 0.759405i | ||||
\(220\) | 9.99982 | + | 2.67944i | 0.674187 | + | 0.180648i | ||||
\(221\) | −18.2096 | −1.22491 | ||||||||
\(222\) | −39.6712 | + | 21.9335i | −2.66256 | + | 1.47208i | ||||
\(223\) | −2.91756 | − | 0.781757i | −0.195374 | − | 0.0523503i | 0.159805 | − | 0.987149i | \(-0.448913\pi\) |
−0.355179 | + | 0.934798i | \(0.615580\pi\) | |||||||
\(224\) | − | 20.9178i | − | 1.39763i | ||||||
\(225\) | −5.01341 | − | 9.47880i | −0.334227 | − | 0.631920i | ||||
\(226\) | −25.3135 | + | 6.78272i | −1.68383 | + | 0.451180i | ||||
\(227\) | 4.30898 | + | 16.0813i | 0.285997 | + | 1.06735i | 0.948108 | + | 0.317949i | \(0.102994\pi\) |
−0.662111 | + | 0.749406i | \(0.730339\pi\) | |||||||
\(228\) | 0.0720394 | − | 0.0178778i | 0.00477092 | − | 0.00118399i | ||||
\(229\) | 0.938898 | + | 0.251577i | 0.0620442 | + | 0.0166247i | 0.289708 | − | 0.957115i | \(-0.406442\pi\) |
−0.227663 | + | 0.973740i | \(0.573109\pi\) | |||||||
\(230\) | −0.714797 | − | 2.66766i | −0.0471324 | − | 0.175900i | ||||
\(231\) | 1.03818 | − | 1.72356i | 0.0683074 | − | 0.113402i | ||||
\(232\) | 60.2952 | 3.95857 | ||||||||
\(233\) | 6.53444 | − | 11.3180i | 0.428085 | − | 0.741466i | −0.568618 | − | 0.822602i | \(-0.692522\pi\) |
0.996703 | + | 0.0811364i | \(0.0258549\pi\) | |||||||
\(234\) | 23.5942 | + | 7.26994i | 1.54240 | + | 0.475251i | ||||
\(235\) | −8.93829 | − | 8.93829i | −0.583070 | − | 0.583070i | ||||
\(236\) | −16.6551 | − | 16.6551i | −1.08415 | − | 1.08415i | ||||
\(237\) | 0.498855 | − | 26.8941i | 0.0324041 | − | 1.74696i | ||||
\(238\) | 6.54257 | − | 11.3321i | 0.424092 | − | 0.734549i | ||||
\(239\) | 5.84761 | 0.378250 | 0.189125 | − | 0.981953i | \(-0.439435\pi\) | ||||
0.189125 | + | 0.981953i | \(0.439435\pi\) | |||||||
\(240\) | −30.5839 | − | 18.4222i | −1.97418 | − | 1.18915i | ||||
\(241\) | −0.0128862 | − | 0.0480921i | −0.000830076 | − | 0.00309789i | 0.965510 | − | 0.260368i | \(-0.0838438\pi\) |
−0.966340 | + | 0.257270i | \(0.917177\pi\) | |||||||
\(242\) | 23.3499 | + | 6.25659i | 1.50099 | + | 0.402189i | ||||
\(243\) | −11.9961 | + | 9.95463i | −0.769547 | + | 0.638590i | ||||
\(244\) | 11.8013 | + | 44.0430i | 0.755501 | + | 2.81957i | ||||
\(245\) | −7.39629 | + | 1.98183i | −0.472532 | + | 0.126615i | ||||
\(246\) | 32.5337 | + | 33.7634i | 2.07427 | + | 2.15268i | ||||
\(247\) | 0.0221984i | 0.00141245i | ||||||||
\(248\) | 47.0142 | + | 12.5974i | 2.98540 | + | 0.799936i | ||||
\(249\) | −0.0188563 | − | 0.0341055i | −0.00119497 | − | 0.00216135i | ||||
\(250\) | −28.4431 | −1.79890 | ||||||||
\(251\) | 17.5175 | + | 4.69379i | 1.10569 | + | 0.296269i | 0.765081 | − | 0.643934i | \(-0.222699\pi\) |
0.340612 | + | 0.940204i | \(0.389366\pi\) | |||||||
\(252\) | −9.63252 | + | 8.94317i | −0.606792 | + | 0.563367i | ||||
\(253\) | 0.326711 | + | 1.21930i | 0.0205402 | + | 0.0766569i | ||||
\(254\) | 5.96245 | − | 22.2522i | 0.374117 | − | 1.39623i | ||||
\(255\) | −6.15135 | − | 11.1260i | −0.385212 | − | 0.696737i | ||||
\(256\) | 84.5984 | 5.28740 | ||||||||
\(257\) | −24.5754 | + | 14.1886i | −1.53297 | + | 0.885063i | −0.533752 | + | 0.845641i | \(0.679218\pi\) |
−0.999223 | + | 0.0394220i | \(0.987448\pi\) | |||||||
\(258\) | 18.2135 | + | 5.24419i | 1.13392 | + | 0.326489i | ||||
\(259\) | 6.97169 | + | 1.86806i | 0.433200 | + | 0.116076i | ||||
\(260\) | 14.3018 | − | 14.3018i | 0.886959 | − | 0.886959i | ||||
\(261\) | −11.9134 | − | 12.8317i | −0.737421 | − | 0.794263i | ||||
\(262\) | 34.3659 | − | 19.8412i | 2.12313 | − | 1.22579i | ||||
\(263\) | −0.989643 | + | 0.571371i | −0.0610240 | + | 0.0352322i | −0.530202 | − | 0.847872i | \(-0.677884\pi\) |
0.469178 | + | 0.883104i | \(0.344550\pi\) | |||||||
\(264\) | 23.2396 | + | 13.9984i | 1.43030 | + | 0.861540i | ||||
\(265\) | −0.822417 | −0.0505207 | ||||||||
\(266\) | −0.0138144 | − | 0.00797572i | −0.000847012 | − | 0.000489023i | ||||
\(267\) | −23.8198 | + | 5.91128i | −1.45775 | + | 0.361765i | ||||
\(268\) | − | 73.4302i | − | 4.48546i | ||||||
\(269\) | −1.17971 | − | 1.17971i | −0.0719280 | − | 0.0719280i | 0.670228 | − | 0.742156i | \(-0.266196\pi\) |
−0.742156 | + | 0.670228i | \(0.766196\pi\) | |||||||
\(270\) | 3.52842 | + | 16.8719i | 0.214733 | + | 1.02679i | ||||
\(271\) | 7.73832 | + | 2.07348i | 0.470069 | + | 0.125955i | 0.486075 | − | 0.873917i | \(-0.338428\pi\) |
−0.0160055 | + | 0.999872i | \(0.505095\pi\) | |||||||
\(272\) | 91.9089 | + | 53.0636i | 5.57280 | + | 3.21746i | ||||
\(273\) | −1.90202 | − | 3.44021i | −0.115116 | − | 0.208211i | ||||
\(274\) | −13.0315 | − | 7.52374i | −0.787261 | − | 0.454525i | ||||
\(275\) | 5.41940 | 0.326802 | ||||||||
\(276\) | 0.152930 | − | 8.24473i | 0.00920531 | − | 0.496275i | ||||
\(277\) | −8.86309 | + | 5.11711i | −0.532532 | + | 0.307457i | −0.742047 | − | 0.670348i | \(-0.766145\pi\) |
0.209515 | + | 0.977805i | \(0.432811\pi\) | |||||||
\(278\) | 47.5537 | − | 27.4551i | 2.85208 | − | 1.64665i | ||||
\(279\) | −6.60836 | − | 12.4944i | −0.395632 | − | 0.748018i | ||||
\(280\) | 2.44605 | + | 9.12877i | 0.146179 | + | 0.545549i | ||||
\(281\) | −24.3523 | + | 14.0598i | −1.45274 | + | 0.838739i | −0.998636 | − | 0.0522102i | \(-0.983373\pi\) |
−0.454103 | + | 0.890949i | \(0.650040\pi\) | |||||||
\(282\) | −24.6490 | − | 44.5828i | −1.46782 | − | 2.65487i | ||||
\(283\) | −4.60995 | − | 7.98466i | −0.274033 | − | 0.474639i | 0.695858 | − | 0.718180i | \(-0.255024\pi\) |
−0.969891 | + | 0.243541i | \(0.921691\pi\) | |||||||
\(284\) | −8.98999 | − | 15.5711i | −0.533458 | − | 0.923976i | ||||
\(285\) | −0.0135631 | + | 0.00749880i | −0.000803411 | + | 0.000444190i | ||||
\(286\) | −8.82312 | + | 8.82312i | −0.521722 | + | 0.521722i | ||||
\(287\) | − | 7.46544i | − | 0.440671i | ||||||
\(288\) | −55.7280 | − | 60.0236i | −3.28380 | − | 3.53692i | ||||
\(289\) | 10.3947 | + | 18.0042i | 0.611455 | + | 1.05907i | ||||
\(290\) | −18.7013 | + | 5.01100i | −1.09818 | + | 0.294256i | ||||
\(291\) | −9.21181 | + | 5.09303i | −0.540006 | + | 0.298559i | ||||
\(292\) | 11.2107 | + | 41.8388i | 0.656055 | + | 2.44843i | ||||
\(293\) | 2.02383 | − | 0.542283i | 0.118233 | − | 0.0316805i | −0.199217 | − | 0.979955i | \(-0.563840\pi\) |
0.317451 | + | 0.948275i | \(0.397173\pi\) | |||||||
\(294\) | −30.8540 | − | 0.572305i | −1.79944 | − | 0.0333775i | ||||
\(295\) | 4.25915 | + | 2.45902i | 0.247977 | + | 0.143170i | ||||
\(296\) | −25.1880 | + | 94.0030i | −1.46402 | + | 5.46381i | ||||
\(297\) | −1.61273 | − | 7.71159i | −0.0935800 | − | 0.447472i | ||||
\(298\) | 4.27275i | 0.247514i | ||||||||
\(299\) | 2.38215 | + | 0.638294i | 0.137763 | + | 0.0369135i | ||||
\(300\) | −34.0204 | − | 9.79547i | −1.96417 | − | 0.565542i | ||||
\(301\) | −1.50889 | − | 2.61348i | −0.0869712 | − | 0.150639i | ||||
\(302\) | −4.88231 | + | 8.45641i | −0.280945 | + | 0.486612i | ||||
\(303\) | 16.6368 | + | 17.2657i | 0.955762 | + | 0.991888i | ||||
\(304\) | 0.0646872 | − | 0.112042i | 0.00371007 | − | 0.00642602i | ||||
\(305\) | −4.76030 | − | 8.24507i | −0.272574 | − | 0.472112i | ||||
\(306\) | −11.4163 | − | 49.9476i | −0.652628 | − | 2.85531i | ||||
\(307\) | 11.0169 | + | 11.0169i | 0.628767 | + | 0.628767i | 0.947758 | − | 0.318991i | \(-0.103344\pi\) |
−0.318991 | + | 0.947758i | \(0.603344\pi\) | |||||||
\(308\) | −1.71934 | − | 6.41666i | −0.0979684 | − | 0.365623i | ||||
\(309\) | 10.7155 | + | 0.198761i | 0.609586 | + | 0.0113071i | ||||
\(310\) | −15.6290 | −0.887667 | ||||||||
\(311\) | −8.63376 | − | 4.98470i | −0.489575 | − | 0.282656i | 0.234823 | − | 0.972038i | \(-0.424549\pi\) |
−0.724398 | + | 0.689382i | \(0.757882\pi\) | |||||||
\(312\) | 46.3861 | − | 25.6460i | 2.62610 | − | 1.45192i | ||||
\(313\) | 22.8426i | 1.29114i | 0.763702 | + | 0.645569i | \(0.223380\pi\) | ||||
−0.763702 | + | 0.645569i | \(0.776620\pi\) | |||||||
\(314\) | −26.2306 | − | 22.8857i | −1.48028 | − | 1.29152i | ||||
\(315\) | 1.45944 | − | 2.32426i | 0.0822299 | − | 0.130957i | ||||
\(316\) | −62.7967 | − | 62.7967i | −3.53259 | − | 3.53259i | ||||
\(317\) | 6.09882 | − | 10.5635i | 0.342544 | − | 0.593304i | −0.642360 | − | 0.766403i | \(-0.722045\pi\) |
0.984904 | + | 0.173099i | \(0.0553781\pi\) | |||||||
\(318\) | −3.18502 | − | 0.917061i | −0.178607 | − | 0.0514262i | ||||
\(319\) | 8.54778 | − | 2.29037i | 0.478584 | − | 0.128236i | ||||
\(320\) | −47.6579 | + | 12.7699i | −2.66416 | + | 0.713858i | ||||
\(321\) | 15.9309 | − | 8.80790i | 0.889178 | − | 0.491609i | ||||
\(322\) | −1.25311 | + | 1.25311i | −0.0698330 | + | 0.0698330i | ||||
\(323\) | 0.0398954 | − | 0.0230336i | 0.00221984 | − | 0.00128162i | ||||
\(324\) | −3.81462 | + | 51.3247i | −0.211923 | + | 2.85137i | ||||
\(325\) | 5.29393 | − | 9.16935i | 0.293654 | − | 0.508624i | ||||
\(326\) | −16.7625 | − | 9.67786i | −0.928391 | − | 0.536007i | ||||
\(327\) | 4.59201 | + | 18.5037i | 0.253939 | + | 1.02326i | ||||
\(328\) | 100.660 | 5.55804 | ||||||||
\(329\) | −2.09934 | + | 7.83483i | −0.115740 | + | 0.431948i | ||||
\(330\) | −8.37143 | − | 2.41038i | −0.460832 | − | 0.132687i | ||||
\(331\) | −15.9703 | + | 27.6613i | −0.877806 | + | 1.52040i | −0.0240630 | + | 0.999710i | \(0.507660\pi\) |
−0.853743 | + | 0.520694i | \(0.825673\pi\) | |||||||
\(332\) | −0.124281 | − | 0.0333011i | −0.00682083 | − | 0.00182764i | ||||
\(333\) | 24.9820 | − | 13.2132i | 1.36900 | − | 0.724077i | ||||
\(334\) | −5.53394 | − | 20.6529i | −0.302804 | − | 1.13008i | ||||
\(335\) | 3.96827 | + | 14.8098i | 0.216810 | + | 0.809145i | ||||
\(336\) | −0.424885 | + | 22.9063i | −0.0231794 | + | 1.24964i | ||||
\(337\) | −9.82705 | + | 9.82705i | −0.535314 | + | 0.535314i | −0.922149 | − | 0.386835i | \(-0.873568\pi\) |
0.386835 | + | 0.922149i | \(0.373568\pi\) | |||||||
\(338\) | −3.03827 | − | 11.3390i | −0.165260 | − | 0.616760i | ||||
\(339\) | 15.8571 | − | 3.93522i | 0.861242 | − | 0.213732i | ||||
\(340\) | −40.5434 | − | 10.8636i | −2.19877 | − | 0.589160i | ||||
\(341\) | 7.14351 | 0.386843 | ||||||||
\(342\) | −0.0608886 | + | 0.0139171i | −0.00329248 | + | 0.000752548i | ||||
\(343\) | 7.26671 | + | 7.26671i | 0.392365 | + | 0.392365i | ||||
\(344\) | 35.2389 | − | 20.3452i | 1.89996 | − | 1.09694i | ||||
\(345\) | 0.414713 | + | 1.67111i | 0.0223274 | + | 0.0899693i | ||||
\(346\) | 17.5492 | + | 17.5492i | 0.943448 | + | 0.943448i | ||||
\(347\) | −4.09598 | − | 7.09444i | −0.219884 | − | 0.380850i | 0.734889 | − | 0.678188i | \(-0.237234\pi\) |
−0.954772 | + | 0.297338i | \(0.903901\pi\) | |||||||
\(348\) | −57.7987 | − | 1.07210i | −3.09834 | − | 0.0574705i | ||||
\(349\) | 3.42483 | − | 5.93198i | 0.183327 | − | 0.317532i | −0.759684 | − | 0.650292i | \(-0.774647\pi\) |
0.943012 | + | 0.332760i | \(0.107980\pi\) | |||||||
\(350\) | 3.80414 | + | 6.58897i | 0.203340 | + | 0.352195i | ||||
\(351\) | −14.6230 | − | 4.80439i | −0.780519 | − | 0.256440i | ||||
\(352\) | 39.9844 | − | 10.7138i | 2.13117 | − | 0.571047i | ||||
\(353\) | 19.6375i | 1.04520i | 0.852579 | + | 0.522599i | \(0.175037\pi\) | ||||
−0.852579 | + | 0.522599i | \(0.824963\pi\) | |||||||
\(354\) | 13.7527 | + | 14.2725i | 0.730946 | + | 0.758575i | ||||
\(355\) | 2.65463 | + | 2.65463i | 0.140893 | + | 0.140893i | ||||
\(356\) | −40.5140 | + | 70.1723i | −2.14724 | + | 3.71913i | ||||
\(357\) | −4.20922 | + | 6.98801i | −0.222776 | + | 0.369845i | ||||
\(358\) | −64.2010 | − | 37.0665i | −3.39313 | − | 1.95902i | ||||
\(359\) | 10.7875 | − | 10.7875i | 0.569343 | − | 0.569343i | −0.362601 | − | 0.931944i | \(-0.618111\pi\) |
0.931944 | + | 0.362601i | \(0.118111\pi\) | |||||||
\(360\) | 31.3392 | + | 19.6783i | 1.65172 | + | 1.03714i | ||||
\(361\) | 9.49997 | + | 16.4544i | 0.499999 | + | 0.866023i | ||||
\(362\) | 0.206270 | − | 0.357270i | 0.0108413 | − | 0.0187777i | ||||
\(363\) | −14.4824 | − | 4.16991i | −0.760130 | − | 0.218864i | ||||
\(364\) | −12.5362 | − | 3.35906i | −0.657075 | − | 0.176063i | ||||
\(365\) | −4.52205 | − | 7.83243i | −0.236695 | − | 0.409968i | ||||
\(366\) | −9.24157 | − | 37.2393i | −0.483065 | − | 1.94653i | ||||
\(367\) | 25.3253 | + | 6.78591i | 1.32197 | + | 0.354221i | 0.849716 | − | 0.527240i | \(-0.176773\pi\) |
0.472256 | + | 0.881462i | \(0.343440\pi\) | |||||||
\(368\) | −10.1634 | − | 10.1634i | −0.529801 | − | 0.529801i | ||||
\(369\) | −19.8889 | − | 21.4220i | −1.03538 | − | 1.11519i | ||||
\(370\) | − | 31.2495i | − | 1.62459i | ||||||
\(371\) | 0.263863 | + | 0.457024i | 0.0136991 | + | 0.0237275i | ||||
\(372\) | −44.8436 | − | 12.9118i | −2.32503 | − | 0.669444i | ||||
\(373\) | 5.54367 | + | 5.54367i | 0.287040 | + | 0.287040i | 0.835909 | − | 0.548869i | \(-0.184941\pi\) |
−0.548869 | + | 0.835909i | \(0.684941\pi\) | |||||||
\(374\) | 25.0122 | + | 6.70200i | 1.29335 | + | 0.346552i | ||||
\(375\) | 17.7295 | + | 0.328861i | 0.915547 | + | 0.0169823i | ||||
\(376\) | −105.641 | − | 28.3065i | −5.44803 | − | 1.45979i | ||||
\(377\) | 4.47469 | − | 16.6998i | 0.230458 | − | 0.860081i | ||||
\(378\) | 8.24379 | − | 7.37392i | 0.424015 | − | 0.379274i | ||||
\(379\) | 6.14647 | − | 6.14647i | 0.315723 | − | 0.315723i | −0.531399 | − | 0.847122i | \(-0.678333\pi\) |
0.847122 | + | 0.531399i | \(0.178333\pi\) | |||||||
\(380\) | −0.0132432 | + | 0.0494244i | −0.000679363 | + | 0.00253542i | ||||
\(381\) | −3.97387 | + | 13.8016i | −0.203588 | + | 0.707076i | ||||
\(382\) | 52.3747 | + | 30.2385i | 2.67972 | + | 1.54714i | ||||
\(383\) | 2.56877 | + | 9.58679i | 0.131258 | + | 0.489862i | 0.999985 | − | 0.00542900i | \(-0.00172811\pi\) |
−0.868727 | + | 0.495291i | \(0.835061\pi\) | |||||||
\(384\) | −104.248 | − | 1.93367i | −5.31986 | − | 0.0986772i | ||||
\(385\) | 0.693530 | + | 1.20123i | 0.0353456 | + | 0.0612203i | ||||
\(386\) | 14.6031 | − | 54.4996i | 0.743279 | − | 2.77396i | ||||
\(387\) | −11.2924 | − | 3.47946i | −0.574027 | − | 0.176871i | ||||
\(388\) | −8.99454 | + | 33.5681i | −0.456628 | + | 1.70416i | ||||
\(389\) | − | 27.3719i | − | 1.38781i | −0.720067 | − | 0.693905i | \(-0.755889\pi\) | ||
0.720067 | − | 0.693905i | \(-0.244111\pi\) | |||||||
\(390\) | −12.2559 | + | 11.8095i | −0.620599 | + | 0.597996i | ||||
\(391\) | −1.32462 | − | 4.94356i | −0.0669890 | − | 0.250006i | ||||
\(392\) | −46.8463 | + | 46.8463i | −2.36610 | + | 2.36610i | ||||
\(393\) | −21.6508 | + | 11.9703i | −1.09214 | + | 0.603823i | ||||
\(394\) | 25.6347 | − | 6.86879i | 1.29146 | − | 0.346045i | ||||
\(395\) | 16.0588 | + | 9.27155i | 0.808006 | + | 0.466502i | ||||
\(396\) | −22.0285 | − | 13.8320i | −1.10697 | − | 0.695084i | ||||
\(397\) | 8.81509 | + | 2.36200i | 0.442416 | + | 0.118545i | 0.473149 | − | 0.880983i | \(-0.343117\pi\) |
−0.0307324 | + | 0.999528i | \(0.509784\pi\) | |||||||
\(398\) | 28.0662 | − | 7.52030i | 1.40683 | − | 0.376959i | ||||
\(399\) | 0.00851873 | + | 0.00513125i | 0.000426470 | + | 0.000256884i | ||||
\(400\) | −53.4399 | + | 30.8536i | −2.67200 | + | 1.54268i | ||||
\(401\) | 2.96170 | − | 0.793584i | 0.147900 | − | 0.0396297i | −0.184109 | − | 0.982906i | \(-0.558940\pi\) |
0.332009 | + | 0.943276i | \(0.392273\pi\) | |||||||
\(402\) | −1.14594 | + | 61.7798i | −0.0571544 | + | 3.08129i | ||||
\(403\) | 6.97812 | − | 12.0865i | 0.347605 | − | 0.602070i | ||||
\(404\) | 79.1610 | 3.93841 | ||||||||
\(405\) | −2.00431 | − | 10.5576i | −0.0995949 | − | 0.524611i | ||||
\(406\) | 8.78477 | + | 8.78477i | 0.435981 | + | 0.435981i | ||||
\(407\) | 14.2832i | 0.707990i | ||||||||
\(408\) | −94.2229 | − | 56.7552i | −4.66473 | − | 2.80980i | ||||
\(409\) | −3.72440 | + | 13.8997i | −0.184160 | + | 0.687294i | 0.810649 | + | 0.585532i | \(0.199114\pi\) |
−0.994809 | + | 0.101761i | \(0.967552\pi\) | |||||||
\(410\) | −31.2211 | + | 8.36567i | −1.54190 | + | 0.413151i | ||||
\(411\) | 8.03597 | + | 4.84046i | 0.396385 | + | 0.238763i | ||||
\(412\) | 25.0203 | − | 25.0203i | 1.23266 | − | 1.23266i | ||||
\(413\) | − | 3.15580i | − | 0.155287i | ||||||
\(414\) | −0.257332 | + | 6.93423i | −0.0126472 | + | 0.340799i | ||||
\(415\) | 0.0268654 | 0.00131877 | ||||||||
\(416\) | 20.9315 | − | 78.1173i | 1.02625 | − | 3.83002i | ||||
\(417\) | −29.9592 | + | 16.5639i | −1.46711 | + | 0.811137i | ||||
\(418\) | 0.00817008 | − | 0.0304911i | 0.000399611 | − | 0.00149137i | ||||
\(419\) | 7.12773 | + | 12.3456i | 0.348212 | + | 0.603122i | 0.985932 | − | 0.167147i | \(-0.0534555\pi\) |
−0.637720 | + | 0.770269i | \(0.720122\pi\) | |||||||
\(420\) | −2.18245 | − | 8.79430i | −0.106493 | − | 0.429118i | ||||
\(421\) | 7.82682 | − | 29.2101i | 0.381456 | − | 1.42361i | −0.462222 | − | 0.886764i | \(-0.652948\pi\) |
0.843678 | − | 0.536849i | \(-0.180385\pi\) | |||||||
\(422\) | − | 23.7301i | − | 1.15516i | ||||||
\(423\) | 14.8490 | + | 28.0749i | 0.721985 | + | 1.36505i | ||||
\(424\) | −6.16230 | + | 3.55780i | −0.299268 | + | 0.172782i | ||||
\(425\) | −21.9725 | −1.06582 | ||||||||
\(426\) | 7.32064 | + | 13.2409i | 0.354686 | + | 0.641524i | ||||
\(427\) | −3.05457 | + | 5.29068i | −0.147821 | + | 0.256034i | ||||
\(428\) | 15.5552 | − | 58.0527i | 0.751888 | − | 2.80608i | ||||
\(429\) | 5.60176 | − | 5.39773i | 0.270455 | − | 0.260605i | ||||
\(430\) | −9.23896 | + | 9.23896i | −0.445542 | + | 0.445542i | ||||
\(431\) | 8.61646 | − | 14.9242i | 0.415040 | − | 0.718871i | −0.580392 | − | 0.814337i | \(-0.697101\pi\) |
0.995433 | + | 0.0954660i | \(0.0304341\pi\) | |||||||
\(432\) | 59.8063 | + | 66.8614i | 2.87743 | + | 3.21687i | ||||
\(433\) | −9.86480 | − | 36.8159i | −0.474072 | − | 1.76926i | −0.624905 | − | 0.780701i | \(-0.714862\pi\) |
0.150833 | − | 0.988559i | \(-0.451804\pi\) | |||||||
\(434\) | 5.01438 | + | 8.68516i | 0.240698 | + | 0.416901i | ||||
\(435\) | 11.7151 | − | 2.90730i | 0.561695 | − | 0.139394i | ||||
\(436\) | 54.5114 | + | 31.4722i | 2.61062 | + | 1.50724i | ||||
\(437\) | −0.00602644 | + | 0.00161478i | −0.000288284 | + | 7.72454e-5i | ||||
\(438\) | −8.77905 | − | 35.3756i | −0.419479 | − | 1.69031i | ||||
\(439\) | 14.5839 | − | 14.5839i | 0.696051 | − | 0.696051i | −0.267505 | − | 0.963556i | \(-0.586199\pi\) |
0.963556 | + | 0.267505i | \(0.0861992\pi\) | |||||||
\(440\) | −16.1968 | + | 9.35123i | −0.772152 | + | 0.445802i | ||||
\(441\) | 19.2257 | + | 0.713474i | 0.915509 | + | 0.0339749i | ||||
\(442\) | 35.7726 | − | 35.7726i | 1.70153 | − | 1.70153i | ||||
\(443\) | 9.51225 | + | 9.51225i | 0.451940 | + | 0.451940i | 0.895998 | − | 0.444058i | \(-0.146461\pi\) |
−0.444058 | + | 0.895998i | \(0.646461\pi\) | |||||||
\(444\) | 25.8166 | − | 89.6630i | 1.22520 | − | 4.25522i | ||||
\(445\) | 4.37887 | − | 16.3422i | 0.207578 | − | 0.774693i | ||||
\(446\) | 7.26728 | − | 4.19576i | 0.344116 | − | 0.198675i | ||||
\(447\) | 0.0494020 | − | 2.66335i | 0.00233663 | − | 0.125972i | ||||
\(448\) | 22.3868 | + | 22.3868i | 1.05768 | + | 1.05768i | ||||
\(449\) | −2.24339 | + | 0.601115i | −0.105872 | + | 0.0283684i | −0.311366 | − | 0.950290i | \(-0.600787\pi\) |
0.205494 | + | 0.978658i | \(0.434120\pi\) | |||||||
\(450\) | 28.4699 | + | 8.77224i | 1.34208 | + | 0.413527i | ||||
\(451\) | 14.2702 | − | 3.82368i | 0.671956 | − | 0.180050i | ||||
\(452\) | 26.9707 | − | 46.7146i | 1.26860 | − | 2.19727i | ||||
\(453\) | 3.14108 | − | 5.21471i | 0.147581 | − | 0.245009i | ||||
\(454\) | −40.0566 | − | 23.1267i | −1.87995 | − | 1.08539i | ||||
\(455\) | 2.70989 | 0.127042 | ||||||||
\(456\) | −0.0691874 | + | 0.114862i | −0.00323999 | + | 0.00537893i | ||||
\(457\) | − | 30.2802i | − | 1.41645i | −0.705987 | − | 0.708225i | \(-0.749496\pi\) | ||
0.705987 | − | 0.708225i | \(-0.250504\pi\) | |||||||
\(458\) | −2.33868 | + | 1.35024i | −0.109279 | + | 0.0630925i | ||||
\(459\) | 6.53867 | + | 31.2660i | 0.305199 | + | 1.45937i | ||||
\(460\) | 4.92302 | + | 2.84231i | 0.229537 | + | 0.132523i | ||||
\(461\) | −4.71135 | − | 2.72010i | −0.219429 | − | 0.126688i | 0.386257 | − | 0.922391i | \(-0.373768\pi\) |
−0.605686 | + | 0.795704i | \(0.707101\pi\) | |||||||
\(462\) | 1.34641 | + | 5.42542i | 0.0626407 | + | 0.252413i | ||||
\(463\) | 21.4285 | + | 21.4285i | 0.995867 | + | 0.995867i | 0.999991 | − | 0.00412419i | \(-0.00131277\pi\) |
−0.00412419 | + | 0.999991i | \(0.501313\pi\) | |||||||
\(464\) | −71.2490 | + | 71.2490i | −3.30765 | + | 3.30765i | ||||
\(465\) | 9.74206 | + | 0.180704i | 0.451777 | + | 0.00837994i | ||||
\(466\) | 9.39724 | + | 35.0710i | 0.435319 | + | 1.62463i | ||||
\(467\) | − | 8.73919i | − | 0.404401i | −0.979344 | − | 0.202201i | \(-0.935191\pi\) | ||
0.979344 | − | 0.202201i | \(-0.0648093\pi\) | |||||||
\(468\) | −44.9215 | + | 23.7593i | −2.07650 | + | 1.09828i | ||||
\(469\) | 6.95676 | − | 6.95676i | 0.321233 | − | 0.321233i | ||||
\(470\) | 35.1184 | 1.61989 | ||||||||
\(471\) | 16.0858 | + | 14.5687i | 0.741195 | + | 0.671290i | ||||
\(472\) | 42.5513 | 1.95858 | ||||||||
\(473\) | 4.22283 | − | 4.22283i | 0.194166 | − | 0.194166i | ||||
\(474\) | 51.8534 | + | 53.8134i | 2.38171 | + | 2.47173i | ||||
\(475\) | 0.0267855i | 0.00122901i | ||||||||
\(476\) | 6.97091 | + | 26.0158i | 0.319511 | + | 1.19243i | ||||
\(477\) | 1.97473 | + | 0.608460i | 0.0904166 | + | 0.0278595i | ||||
\(478\) | −11.4876 | + | 11.4876i | −0.525430 | + | 0.525430i | ||||
\(479\) | −17.4740 | − | 17.4740i | −0.798407 | − | 0.798407i | 0.184437 | − | 0.982844i | \(-0.440954\pi\) |
−0.982844 | + | 0.184437i | \(0.940954\pi\) | |||||||
\(480\) | 54.8003 | − | 13.5996i | 2.50128 | − | 0.620735i | ||||
\(481\) | 24.1664 | + | 13.9525i | 1.10189 | + | 0.636178i | ||||
\(482\) | 0.119792 | + | 0.0691617i | 0.00545636 | + | 0.00315023i | ||||
\(483\) | 0.795592 | − | 0.766615i | 0.0362007 | − | 0.0348822i | ||||
\(484\) | −43.0910 | + | 24.8786i | −1.95868 | + | 1.13085i | ||||
\(485\) | − | 7.25626i | − | 0.329490i | ||||||
\(486\) | 4.01036 | − | 43.1220i | 0.181913 | − | 1.95605i | ||||
\(487\) | 5.44061 | 0.246538 | 0.123269 | − | 0.992373i | \(-0.460662\pi\) | ||||
0.123269 | + | 0.992373i | \(0.460662\pi\) | |||||||
\(488\) | −71.3369 | − | 41.1864i | −3.22927 | − | 1.86442i | ||||
\(489\) | 10.3367 | + | 6.22634i | 0.467444 | + | 0.281565i | ||||
\(490\) | 10.6367 | − | 18.4233i | 0.480516 | − | 0.832279i | ||||
\(491\) | 18.4565 | − | 4.94541i | 0.832931 | − | 0.223183i | 0.182939 | − | 0.983124i | \(-0.441439\pi\) |
0.649992 | + | 0.759941i | \(0.274772\pi\) | |||||||
\(492\) | −96.4926 | − | 1.78982i | −4.35022 | − | 0.0806915i | ||||
\(493\) | −34.6562 | + | 9.28611i | −1.56084 | + | 0.418225i | ||||
\(494\) | −0.0436086 | − | 0.0436086i | −0.00196204 | − | 0.00196204i | ||||
\(495\) | 5.19032 | + | 1.59926i | 0.233287 | + | 0.0718814i | ||||
\(496\) | −70.4412 | + | 40.6692i | −3.16290 | + | 1.82610i | ||||
\(497\) | 0.623495 | − | 2.32691i | 0.0279676 | − | 0.104376i | ||||
\(498\) | 0.104043 | + | 0.0299571i | 0.00466229 | + | 0.00134241i | ||||
\(499\) | −6.72413 | − | 6.72413i | −0.301013 | − | 0.301013i | 0.540397 | − | 0.841410i | \(-0.318274\pi\) |
−0.841410 | + | 0.540397i | \(0.818274\pi\) | |||||||
\(500\) | 41.3977 | − | 41.3977i | 1.85136 | − | 1.85136i | ||||
\(501\) | 3.21070 | + | 12.9376i | 0.143443 | + | 0.578012i | ||||
\(502\) | −43.6339 | + | 25.1920i | −1.94748 | + | 1.12438i | ||||
\(503\) | 11.2298 | − | 11.2298i | 0.500712 | − | 0.500712i | −0.410947 | − | 0.911659i | \(-0.634802\pi\) |
0.911659 | + | 0.410947i | \(0.134802\pi\) | |||||||
\(504\) | 0.880595 | − | 23.7291i | 0.0392248 | − | 1.05698i | ||||
\(505\) | −15.9656 | + | 4.27797i | −0.710461 | + | 0.190367i | ||||
\(506\) | −3.03714 | − | 1.75349i | −0.135017 | − | 0.0779522i | ||||
\(507\) | 1.76275 | + | 7.10310i | 0.0782867 | + | 0.315460i | ||||
\(508\) | 23.7090 | + | 41.0652i | 1.05192 | + | 1.82197i | ||||
\(509\) | 5.07239 | + | 18.9304i | 0.224830 | + | 0.839076i | 0.982473 | + | 0.186407i | \(0.0596842\pi\) |
−0.757643 | + | 0.652669i | \(0.773649\pi\) | |||||||
\(510\) | 33.9412 | + | 9.77267i | 1.50294 | + | 0.432741i | ||||
\(511\) | −2.90170 | + | 5.02589i | −0.128364 | + | 0.222332i | ||||
\(512\) | −81.0606 | + | 81.0606i | −3.58241 | + | 3.58241i | ||||
\(513\) | 0.0381148 | − | 0.00797096i | 0.00168281 | − | 0.000351927i | ||||
\(514\) | 20.4048 | − | 76.1518i | 0.900018 | − | 3.35891i | ||||
\(515\) | −3.69410 | + | 6.39837i | −0.162782 | + | 0.281946i | ||||
\(516\) | −34.1416 | + | 18.8763i | −1.50300 | + | 0.830981i | ||||
\(517\) | −16.0515 | −0.705945 | ||||||||
\(518\) | −17.3656 | + | 10.0261i | −0.763003 | + | 0.440520i | ||||
\(519\) | −10.7361 | − | 11.1419i | −0.471261 | − | 0.489074i | ||||
\(520\) | 36.5389i | 1.60234i | ||||||||
\(521\) | −7.79561 | + | 29.0936i | −0.341532 | + | 1.27461i | 0.555080 | + | 0.831797i | \(0.312688\pi\) |
−0.896612 | + | 0.442817i | \(0.853979\pi\) | |||||||
\(522\) | 48.6116 | + | 1.80400i | 2.12767 | + | 0.0789588i | ||||
\(523\) | 6.16550 | + | 10.6790i | 0.269599 | + | 0.466959i | 0.968758 | − | 0.248007i | \(-0.0797756\pi\) |
−0.699160 | + | 0.714966i | \(0.746442\pi\) | |||||||
\(524\) | −21.1401 | + | 78.8961i | −0.923512 | + | 3.44659i | ||||
\(525\) | −2.29507 | − | 4.15111i | −0.100165 | − | 0.181169i | ||||
\(526\) | 0.821694 | − | 3.06660i | 0.0358276 | − | 0.133710i | ||||
\(527\) | −28.9627 | −1.26164 | ||||||||
\(528\) | −44.0030 | + | 10.9201i | −1.91498 | + | 0.475235i | ||||
\(529\) | − | 22.3069i | − | 0.969863i | ||||||
\(530\) | 1.61563 | − | 1.61563i | 0.0701786 | − | 0.0701786i | ||||
\(531\) | −8.40747 | − | 9.05553i | −0.364853 | − | 0.392977i | ||||
\(532\) | 0.0317145 | − | 0.00849788i | 0.00137500 | − | 0.000368430i | ||||
\(533\) | 7.47031 | − | 27.8796i | 0.323575 | − | 1.20760i | ||||
\(534\) | 35.1811 | − | 58.4065i | 1.52244 | − | 2.52750i | ||||
\(535\) | 12.5490i | 0.542540i | ||||||||
\(536\) | 93.8016 | + | 93.8016i | 4.05161 | + | 4.05161i | ||||
\(537\) | 39.5901 | + | 23.8471i | 1.70844 | + | 1.02908i | ||||
\(538\) | 4.63506 | 0.199832 | ||||||||
\(539\) | −4.86169 | + | 8.42069i | −0.209408 | + | 0.362705i | ||||
\(540\) | −29.6917 | − | 19.4208i | −1.27773 | − | 0.835739i | ||||
\(541\) | −15.9721 | + | 4.27971i | −0.686695 | + | 0.183999i | −0.585263 | − | 0.810843i | \(-0.699009\pi\) |
−0.101431 | + | 0.994843i | \(0.532342\pi\) | |||||||
\(542\) | −19.2752 | + | 11.1285i | −0.827941 | + | 0.478012i | ||||
\(543\) | −0.132706 | + | 0.220313i | −0.00569494 | + | 0.00945455i | ||||
\(544\) | −162.113 | + | 43.4381i | −6.95055 | + | 1.86239i | ||||
\(545\) | −12.6949 | − | 3.40160i | −0.543792 | − | 0.145709i | ||||
\(546\) | 10.4948 | + | 3.02175i | 0.449135 | + | 0.129319i | ||||
\(547\) | 4.12871 | + | 2.38371i | 0.176531 | + | 0.101920i | 0.585662 | − | 0.810556i | \(-0.300835\pi\) |
−0.409131 | + | 0.912476i | \(0.634168\pi\) | |||||||
\(548\) | 29.9173 | − | 8.01630i | 1.27800 | − | 0.342440i | ||||
\(549\) | 5.33001 | + | 23.3194i | 0.227479 | + | 0.995246i | ||||
\(550\) | −10.6464 | + | 10.6464i | −0.453963 | + | 0.453963i | ||||
\(551\) | 0.0113202 | + | 0.0422477i | 0.000482258 | + | 0.00179981i | ||||
\(552\) | 10.3367 | + | 10.7274i | 0.439958 | + | 0.456588i | ||||
\(553\) | − | 11.8987i | − | 0.505984i | ||||||
\(554\) | 7.35896 | − | 27.4640i | 0.312652 | − | 1.16683i | ||||
\(555\) | −0.361310 | + | 19.4789i | −0.0153368 | + | 0.826832i | ||||
\(556\) | −29.2526 | + | 109.172i | −1.24059 | + | 4.62993i | ||||
\(557\) | 19.6801 | + | 34.0869i | 0.833871 | + | 1.44431i | 0.894947 | + | 0.446173i | \(0.147213\pi\) |
−0.0610759 | + | 0.998133i | \(0.519453\pi\) | |||||||
\(558\) | 37.5272 | + | 11.5630i | 1.58865 | + | 0.489501i | ||||
\(559\) | −3.01976 | − | 11.2699i | −0.127722 | − | 0.476665i | ||||
\(560\) | −13.6776 | − | 7.89677i | −0.577985 | − | 0.333700i | ||||
\(561\) | −15.5135 | − | 4.46678i | −0.654979 | − | 0.188587i | ||||
\(562\) | 20.2196 | − | 75.4605i | 0.852911 | − | 3.18311i | ||||
\(563\) | 24.7568 | − | 24.7568i | 1.04337 | − | 1.04337i | 0.0443571 | − | 0.999016i | \(-0.485876\pi\) |
0.999016 | − | 0.0443571i | \(-0.0141239\pi\) | |||||||
\(564\) | 100.764 | + | 29.0128i | 4.24292 | + | 1.22166i | ||||
\(565\) | −2.91507 | + | 10.8792i | −0.122638 | + | 0.457691i | ||||
\(566\) | 24.7420 | + | 6.62961i | 1.03999 | + | 0.278663i | ||||
\(567\) | −5.22389 | + | 4.50109i | −0.219383 | + | 0.189028i | ||||
\(568\) | 31.3750 | + | 8.40690i | 1.31647 | + | 0.352746i | ||||
\(569\) | −5.12708 | − | 5.12708i | −0.214938 | − | 0.214938i | 0.591423 | − | 0.806361i | \(-0.298566\pi\) |
−0.806361 | + | 0.591423i | \(0.798566\pi\) | |||||||
\(570\) | 0.0119134 | − | 0.0413760i | 0.000498996 | − | 0.00173305i | ||||
\(571\) | −12.4244 | − | 21.5197i | −0.519945 | − | 0.900571i | −0.999731 | − | 0.0231859i | \(-0.992619\pi\) |
0.479786 | − | 0.877386i | \(-0.340714\pi\) | |||||||
\(572\) | − | 25.6834i | − | 1.07388i | ||||||
\(573\) | −32.2972 | − | 19.4542i | −1.34924 | − | 0.812712i | ||||
\(574\) | 14.6658 | + | 14.6658i | 0.612139 | + | 0.612139i | ||||
\(575\) | 2.87440 | + | 0.770194i | 0.119871 | + | 0.0321193i | ||||
\(576\) | 123.880 | + | 4.59725i | 5.16168 | + | 0.191552i | ||||
\(577\) | 10.7827 | + | 18.6762i | 0.448889 | + | 0.777499i | 0.998314 | − | 0.0580443i | \(-0.0184865\pi\) |
−0.549425 | + | 0.835543i | \(0.685153\pi\) | |||||||
\(578\) | −55.7896 | − | 14.9488i | −2.32054 | − | 0.621787i | ||||
\(579\) | −9.73273 | + | 33.8025i | −0.404479 | + | 1.40479i | ||||
\(580\) | 19.9257 | − | 34.5123i | 0.827368 | − | 1.43304i | ||||
\(581\) | −0.00861945 | − | 0.0149293i | −0.000357595 | − | 0.000619373i | ||||
\(582\) | 8.09132 | − | 28.1018i | 0.335396 | − | 1.16486i | ||||
\(583\) | −0.738454 | + | 0.738454i | −0.0305836 | + | 0.0305836i | ||||
\(584\) | −67.7667 | − | 39.1251i | −2.80421 | − | 1.61901i | ||||
\(585\) | 7.77602 | − | 7.21953i | 0.321499 | − | 0.298491i | ||||
\(586\) | −2.91049 | + | 5.04111i | −0.120231 | + | 0.208246i | ||||
\(587\) | −0.171672 | − | 0.171672i | −0.00708565 | − | 0.00708565i | 0.703555 | − | 0.710641i | \(-0.251595\pi\) |
−0.710641 | + | 0.703555i | \(0.751595\pi\) | |||||||
\(588\) | 45.7396 | − | 44.0737i | 1.88627 | − | 1.81757i | ||||
\(589\) | 0.0353070i | 0.00145480i | ||||||||
\(590\) | −13.1978 | + | 3.53634i | −0.543345 | + | 0.145589i | ||||
\(591\) | −16.0584 | + | 3.98515i | −0.660552 | + | 0.163927i | ||||
\(592\) | −81.3165 | − | 140.844i | −3.34209 | − | 5.78867i | ||||
\(593\) | −10.3945 | + | 18.0039i | −0.426852 | + | 0.739330i | −0.996591 | − | 0.0824960i | \(-0.973711\pi\) |
0.569739 | + | 0.821825i | \(0.307044\pi\) | |||||||
\(594\) | 18.3176 | + | 11.9812i | 0.751579 | + | 0.491594i | ||||
\(595\) | −2.81186 | − | 4.87028i | −0.115275 | − | 0.199662i | ||||
\(596\) | −6.21881 | − | 6.21881i | −0.254732 | − | 0.254732i | ||||
\(597\) | −17.5815 | + | 4.36315i | −0.719564 | + | 0.178572i | ||||
\(598\) | −5.93364 | + | 3.42579i | −0.242645 | + | 0.140091i | ||||
\(599\) | 0.547707 | + | 0.547707i | 0.0223787 | + | 0.0223787i | 0.718208 | − | 0.695829i | \(-0.244963\pi\) |
−0.695829 | + | 0.718208i | \(0.744963\pi\) | |||||||
\(600\) | 55.9715 | − | 30.9456i | 2.28503 | − | 1.26335i | ||||
\(601\) | 23.7414 | 0.968433 | 0.484217 | − | 0.874948i | \(-0.339105\pi\) | ||||
0.484217 | + | 0.874948i | \(0.339105\pi\) | |||||||
\(602\) | 8.09838 | + | 2.16996i | 0.330065 | + | 0.0884408i | ||||
\(603\) | 1.42861 | − | 38.4961i | 0.0581774 | − | 1.56768i | ||||
\(604\) | −5.20195 | − | 19.4139i | −0.211664 | − | 0.789942i | ||||
\(605\) | 7.34634 | − | 7.34634i | 0.298671 | − | 0.298671i | ||||
\(606\) | −66.6013 | − | 1.23538i | −2.70549 | − | 0.0501837i | ||||
\(607\) | 4.04250 | + | 15.0868i | 0.164080 | + | 0.612355i | 0.998156 | + | 0.0607051i | \(0.0193349\pi\) |
−0.834076 | + | 0.551650i | \(0.813998\pi\) | |||||||
\(608\) | 0.0529532 | + | 0.197624i | 0.00214754 | + | 0.00801471i | ||||
\(609\) | −5.37426 | − | 5.57741i | −0.217776 | − | 0.226008i | ||||
\(610\) | 25.5490 | + | 6.84583i | 1.03445 | + | 0.277179i | ||||
\(611\) | −15.6799 | + | 27.1584i | −0.634340 | + | 1.09871i | ||||
\(612\) | 89.3126 | + | 56.0806i | 3.61025 | + | 2.26692i | ||||
\(613\) | 7.24233 | − | 27.0287i | 0.292515 | − | 1.09168i | −0.650656 | − | 0.759373i | \(-0.725506\pi\) |
0.943171 | − | 0.332308i | \(-0.107827\pi\) | |||||||
\(614\) | −43.2852 | −1.74685 | ||||||||
\(615\) | 19.5579 | − | 4.85362i | 0.788649 | − | 0.195717i | ||||
\(616\) | 10.3931 | + | 6.00047i | 0.418751 | + | 0.241766i | ||||
\(617\) | −4.73031 | + | 8.19313i | −0.190435 | + | 0.329843i | −0.945394 | − | 0.325928i | \(-0.894323\pi\) |
0.754959 | + | 0.655771i | \(0.227657\pi\) | |||||||
\(618\) | −21.4411 | + | 20.6601i | −0.862487 | + | 0.831073i | ||||
\(619\) | 10.0999 | − | 5.83117i | 0.405949 | − | 0.234375i | −0.283099 | − | 0.959091i | \(-0.591362\pi\) |
0.689048 | + | 0.724716i | \(0.258029\pi\) | |||||||
\(620\) | 22.7473 | − | 22.7473i | 0.913554 | − | 0.913554i | ||||
\(621\) | 0.240578 | − | 4.31936i | 0.00965406 | − | 0.173330i | ||||
\(622\) | 26.7534 | − | 7.16855i | 1.07271 | − | 0.287433i | ||||
\(623\) | −10.4864 | + | 2.80982i | −0.420128 | + | 0.112573i | ||||
\(624\) | −24.5080 | + | 85.1181i | −0.981104 | + | 3.40745i | ||||
\(625\) | 2.82370 | − | 4.89079i | 0.112948 | − | 0.195631i | ||||
\(626\) | −44.8741 | − | 44.8741i | −1.79353 | − | 1.79353i | ||||
\(627\) | −0.00544522 | + | 0.0189117i | −0.000217461 | + | 0.000755259i | ||||
\(628\) | 71.4867 | − | 4.86836i | 2.85263 | − | 0.194269i | ||||
\(629\) | − | 57.9099i | − | 2.30902i | ||||||
\(630\) | 1.69894 | + | 7.43305i | 0.0676875 | + | 0.296140i | ||||
\(631\) | 9.59404 | + | 5.53912i | 0.381933 | + | 0.220509i | 0.678659 | − | 0.734454i | \(-0.262561\pi\) |
−0.296726 | + | 0.954963i | \(0.595895\pi\) | |||||||
\(632\) | 160.436 | 6.38181 | ||||||||
\(633\) | −0.274370 | + | 14.7918i | −0.0109052 | + | 0.587919i | ||||
\(634\) | 8.77077 | + | 32.7330i | 0.348332 | + | 1.29999i | ||||
\(635\) | −7.00097 | − | 7.00097i | −0.277825 | − | 0.277825i | ||||
\(636\) | 5.97041 | − | 3.30092i | 0.236742 | − | 0.130890i | ||||
\(637\) | 9.49826 | + | 16.4515i | 0.376335 | + | 0.651831i | ||||
\(638\) | −12.2926 | + | 21.2915i | −0.486670 | + | 0.842938i | ||||
\(639\) | −4.41010 | − | 8.33813i | −0.174461 | − | 0.329852i | ||||
\(640\) | 35.9386 | − | 62.2474i | 1.42060 | − | 2.46055i | ||||
\(641\) | −10.6798 | − | 18.4980i | −0.421827 | − | 0.730627i | 0.574291 | − | 0.818651i | \(-0.305278\pi\) |
−0.996118 | + | 0.0880247i | \(0.971945\pi\) | |||||||
\(642\) | −13.9931 | + | 48.5993i | −0.552265 | + | 1.91806i | ||||
\(643\) | 10.0539 | + | 2.69394i | 0.396488 | + | 0.106239i | 0.451553 | − | 0.892244i | \(-0.350870\pi\) |
−0.0550656 | + | 0.998483i | \(0.517537\pi\) | |||||||
\(644\) | − | 3.64769i | − | 0.143739i | ||||||
\(645\) | 5.86577 | − | 5.65212i | 0.230964 | − | 0.222552i | ||||
\(646\) | −0.0331249 | + | 0.123624i | −0.00130328 | + | 0.00486391i | ||||
\(647\) | 17.1951 | + | 9.92759i | 0.676009 | + | 0.390294i | 0.798350 | − | 0.602194i | \(-0.205707\pi\) |
−0.122341 | + | 0.992488i | \(0.539040\pi\) | |||||||
\(648\) | −60.6906 | − | 70.4364i | −2.38415 | − | 2.76700i | ||||
\(649\) | 6.03230 | − | 1.61635i | 0.236788 | − | 0.0634473i | ||||
\(650\) | 7.61325 | + | 28.4130i | 0.298616 | + | 1.11445i | ||||
\(651\) | −3.02521 | − | 5.47173i | −0.118567 | − | 0.214454i | ||||
\(652\) | 38.4829 | − | 10.3115i | 1.50711 | − | 0.403828i | ||||
\(653\) | −13.6315 | − | 23.6105i | −0.533443 | − | 0.923950i | −0.999237 | − | 0.0390568i | \(-0.987565\pi\) |
0.465794 | − | 0.884893i | \(-0.345769\pi\) | |||||||
\(654\) | −45.3715 | − | 27.3295i | −1.77416 | − | 1.06867i | ||||
\(655\) | − | 17.0546i | − | 0.666379i | ||||||
\(656\) | −118.947 | + | 118.947i | −4.64411 | + | 4.64411i | ||||
\(657\) | 5.06326 | + | 22.1523i | 0.197537 | + | 0.864243i | ||||
\(658\) | −11.2674 | − | 19.5156i | −0.439247 | − | 0.760798i | ||||
\(659\) | −20.8636 | − | 36.1368i | −0.812730 | − | 1.40769i | −0.910947 | − | 0.412524i | \(-0.864647\pi\) |
0.0982173 | − | 0.995165i | \(-0.468686\pi\) | |||||||
\(660\) | 15.6925 | − | 8.67606i | 0.610828 | − | 0.337715i | ||||
\(661\) | −22.5016 | + | 12.9913i | −0.875212 | + | 0.505304i | −0.869077 | − | 0.494677i | \(-0.835286\pi\) |
−0.00613528 | + | 0.999981i | \(0.501953\pi\) | |||||||
\(662\) | −22.9670 | − | 85.7141i | −0.892638 | − | 3.33137i | ||||
\(663\) | −22.7119 | + | 21.8846i | −0.882055 | + | 0.849929i | ||||
\(664\) | 0.201300 | − | 0.116221i | 0.00781195 | − | 0.00451023i | ||||
\(665\) | −0.00593711 | + | 0.00342779i | −0.000230231 | + | 0.000132924i | ||||
\(666\) | −23.1198 | + | 75.0341i | −0.895873 | + | 2.90751i | ||||
\(667\) | 4.85917 | 0.188148 | ||||||||
\(668\) | 38.1139 | + | 22.0051i | 1.47467 | + | 0.851402i | ||||
\(669\) | −4.57845 | + | 2.53133i | −0.177013 | + | 0.0978670i | ||||
\(670\) | −36.8894 | − | 21.2981i | −1.42516 | − | 0.822818i | ||||
\(671\) | −11.6776 | − | 3.12901i | −0.450810 | − | 0.120794i | ||||
\(672\) | −25.1395 | − | 26.0897i | −0.969777 | − | 1.00643i | ||||
\(673\) | 12.8930 | + | 12.8930i | 0.496988 | + | 0.496988i | 0.910499 | − | 0.413511i | \(-0.135698\pi\) |
−0.413511 | + | 0.910499i | \(0.635698\pi\) | |||||||
\(674\) | − | 38.6104i | − | 1.48722i | ||||||
\(675\) | −17.6448 | − | 5.79720i | −0.679148 | − | 0.223134i | ||||
\(676\) | 20.9255 | + | 12.0813i | 0.804827 | + | 0.464667i | ||||
\(677\) | 11.7461 | 0.451438 | 0.225719 | − | 0.974192i | \(-0.427527\pi\) | ||||
0.225719 | + | 0.974192i | \(0.427527\pi\) | |||||||
\(678\) | −23.4206 | + | 38.8820i | −0.899461 | + | 1.49325i | ||||
\(679\) | −4.03237 | + | 2.32809i | −0.154748 | + | 0.0893439i | ||||
\(680\) | 65.6685 | − | 37.9137i | 2.51827 | − | 1.45393i | ||||
\(681\) | 24.7012 | + | 14.8788i | 0.946553 | + | 0.570156i | ||||
\(682\) | −14.0334 | + | 14.0334i | −0.537366 | + | 0.537366i | ||||
\(683\) | −10.2126 | − | 2.73646i | −0.390774 | − | 0.104708i | 0.0580817 | − | 0.998312i | \(-0.481502\pi\) |
−0.448856 | + | 0.893604i | \(0.648168\pi\) | |||||||
\(684\) | 0.0683651 | − | 0.108876i | 0.00261400 | − | 0.00416299i | ||||
\(685\) | −5.60066 | + | 3.23354i | −0.213990 | + | 0.123547i | ||||
\(686\) | −28.5508 | −1.09007 | ||||||||
\(687\) | 1.47339 | − | 0.814608i | 0.0562133 | − | 0.0310793i | ||||
\(688\) | −17.5995 | + | 65.6821i | −0.670973 | + | 2.50411i | ||||
\(689\) | 0.528070 | + | 1.97079i | 0.0201179 | + | 0.0750809i | ||||
\(690\) | −4.09758 | − | 2.46818i | −0.155992 | − | 0.0939618i | ||||
\(691\) | −38.0979 | − | 10.2083i | −1.44931 | − | 0.388342i | −0.553528 | − | 0.832831i | \(-0.686719\pi\) |
−0.895784 | + | 0.444489i | \(0.853385\pi\) | |||||||
\(692\) | −51.0841 | −1.94193 | ||||||||
\(693\) | −0.776533 | − | 3.39741i | −0.0294980 | − | 0.129057i | ||||
\(694\) | 21.9835 | + | 5.89047i | 0.834483 | + | 0.223599i | ||||
\(695\) | − | 23.5993i | − | 0.895171i | ||||||
\(696\) | 75.2031 | − | 72.4640i | 2.85056 | − | 2.74674i | ||||
\(697\) | −57.8572 | + | 15.5028i | −2.19150 | + | 0.587210i | ||||
\(698\) | 4.92529 | + | 18.3814i | 0.186425 | + | 0.695747i | ||||
\(699\) | −5.45212 | − | 21.9696i | −0.206218 | − | 0.830965i | ||||
\(700\) | −15.1267 | − | 4.05320i | −0.571737 | − | 0.153196i | ||||
\(701\) | 0.793669 | + | 2.96201i | 0.0299765 | + | 0.111874i | 0.979293 | − | 0.202448i | \(-0.0648897\pi\) |
−0.949317 | + | 0.314322i | \(0.898223\pi\) | |||||||
\(702\) | 38.1650 | − | 19.2886i | 1.44045 | − | 0.728003i | ||||
\(703\) | −0.0705950 | −0.00266254 | ||||||||
\(704\) | −31.3262 | + | 54.2585i | −1.18065 | + | 2.04495i | ||||
\(705\) | −21.8905 | − | 0.406043i | −0.824443 | − | 0.0152924i | ||||
\(706\) | −38.5777 | − | 38.5777i | −1.45189 | − | 1.45189i | ||||
\(707\) | 7.49970 | + | 7.49970i | 0.282055 | + | 0.282055i | ||||
\(708\) | −40.7895 | − | 0.756596i | −1.53296 | − | 0.0284346i | ||||
\(709\) | 5.22843 | − | 9.05591i | 0.196358 | − | 0.340102i | −0.750987 | − | 0.660317i | \(-0.770422\pi\) |
0.947345 | + | 0.320215i | \(0.103755\pi\) | |||||||
\(710\) | −10.4300 | −0.391432 | ||||||||
\(711\) | −31.6997 | − | 34.1432i | −1.18883 | − | 1.28047i | ||||
\(712\) | −37.8863 | − | 141.393i | −1.41985 | − | 5.29895i | ||||
\(713\) | 3.78886 | + | 1.01522i | 0.141894 | + | 0.0380204i | ||||
\(714\) | −5.45890 | − | 21.9969i | −0.204294 | − | 0.823213i | ||||
\(715\) | 1.38797 | + | 5.17996i | 0.0519070 | + | 0.193719i | ||||
\(716\) | 147.391 | − | 39.4932i | 5.50824 | − | 1.47593i | ||||
\(717\) | 7.29342 | − | 7.02778i | 0.272378 | − | 0.262457i | ||||
\(718\) | 42.3840i | 1.58176i | ||||||||
\(719\) | 42.7650 | + | 11.4589i | 1.59487 | + | 0.427343i | 0.943487 | − | 0.331409i | \(-0.107524\pi\) |
0.651379 | + | 0.758752i | \(0.274191\pi\) | |||||||
\(720\) | −60.2859 | + | 13.7793i | −2.24672 | + | 0.513524i | ||||
\(721\) | 4.74084 | 0.176558 | ||||||||
\(722\) | −50.9873 | − | 13.6620i | −1.89755 | − | 0.508447i | ||||
\(723\) | −0.0738704 | − | 0.0444958i | −0.00274727 | − | 0.00165482i | ||||
\(724\) | 0.219774 | + | 0.820208i | 0.00816784 | + | 0.0304828i | ||||
\(725\) | 5.39936 | − | 20.1507i | 0.200527 | − | 0.748377i | ||||
\(726\) | 36.6424 | − | 20.2589i | 1.35993 | − | 0.751878i | ||||
\(727\) | 8.52619 | 0.316219 | 0.158109 | − | 0.987422i | \(-0.449460\pi\) | ||||
0.158109 | + | 0.987422i | \(0.449460\pi\) | |||||||
\(728\) | 20.3050 | − | 11.7231i | 0.752553 | − | 0.434487i | ||||
\(729\) | −2.99837 | + | 26.8330i | −0.111051 | + | 0.993815i | ||||
\(730\) | 24.2703 | + | 6.50321i | 0.898284 | + | 0.240695i | ||||
\(731\) | −17.1211 | + | 17.1211i | −0.633247 | + | 0.633247i | ||||
\(732\) | 67.6510 | + | 40.7495i | 2.50045 | + | 1.50615i | ||||
\(733\) | −27.4290 | + | 15.8361i | −1.01311 | + | 0.584921i | −0.912101 | − | 0.409965i | \(-0.865541\pi\) |
−0.101011 | + | 0.994885i | \(0.532208\pi\) | |||||||
\(734\) | −63.0824 | + | 36.4206i | −2.32841 | + | 1.34431i | ||||
\(735\) | −6.84321 | + | 11.3609i | −0.252415 | + | 0.419051i | ||||
\(736\) | 22.7300 | 0.837839 | ||||||||
\(737\) | 16.8610 | + | 9.73468i | 0.621082 | + | 0.358582i | ||||
\(738\) | 81.1551 | + | 3.01170i | 2.98736 | + | 0.110862i | ||||
\(739\) | 6.97712i | 0.256657i | 0.991732 | + | 0.128329i | \(0.0409613\pi\) | ||||
−0.991732 | + | 0.128329i | \(0.959039\pi\) | |||||||
\(740\) | 45.4824 | + | 45.4824i | 1.67196 | + | 1.67196i | ||||
\(741\) | 0.0266785 | + | 0.0276869i | 0.000980058 | + | 0.00101710i | ||||
\(742\) | −1.41618 | − | 0.379464i | −0.0519896 | − | 0.0139306i | ||||
\(743\) | 37.7148 | + | 21.7746i | 1.38362 | + | 0.798834i | 0.992586 | − | 0.121542i | \(-0.0387840\pi\) |
0.391034 | + | 0.920376i | \(0.372117\pi\) | |||||||
\(744\) | 73.7781 | − | 40.7905i | 2.70484 | − | 1.49545i | ||||
\(745\) | 1.59032 | + | 0.918169i | 0.0582647 | + | 0.0336391i | ||||
\(746\) | −21.7810 | −0.797459 | ||||||||
\(747\) | −0.0645072 | − | 0.0198762i | −0.00236020 | − | 0.000727232i | ||||
\(748\) | −46.1587 | + | 26.6497i | −1.68773 | + | 0.974411i | ||||
\(749\) | 6.97359 | − | 4.02620i | 0.254809 | − | 0.147114i | ||||
\(750\) | −35.4755 | + | 34.1834i | −1.29538 | + | 1.24820i | ||||
\(751\) | 0.995518 | + | 3.71532i | 0.0363270 | + | 0.135574i | 0.981708 | − | 0.190394i | \(-0.0609765\pi\) |
−0.945381 | + | 0.325968i | \(0.894310\pi\) | |||||||
\(752\) | 158.282 | − | 91.3840i | 5.77194 | − | 3.33243i | ||||
\(753\) | 27.4897 | − | 15.1985i | 1.00178 | − | 0.553865i | ||||
\(754\) | 24.0161 | + | 41.5971i | 0.874614 | + | 1.51488i | ||||
\(755\) | 2.09831 | + | 3.63439i | 0.0763655 | + | 0.132269i | ||||
\(756\) | −1.26606 | + | 22.7309i | −0.0460460 | + | 0.826715i | ||||
\(757\) | −31.9355 | + | 31.9355i | −1.16072 | + | 1.16072i | −0.176398 | + | 0.984319i | \(0.556445\pi\) |
−0.984319 | + | 0.176398i | \(0.943555\pi\) | |||||||
\(758\) | 24.1494i | 0.877145i | ||||||||
\(759\) | 1.87287 | + | 1.12812i | 0.0679810 | + | 0.0409483i | ||||
\(760\) | −0.0462187 | − | 0.0800532i | −0.00167653 | − | 0.00290383i | ||||
\(761\) | −23.4245 | + | 6.27657i | −0.849137 | + | 0.227525i | −0.657045 | − | 0.753852i | \(-0.728194\pi\) |
−0.192092 | + | 0.981377i | \(0.561527\pi\) | |||||||
\(762\) | −19.3065 | − | 34.9198i | −0.699399 | − | 1.26501i | ||||
\(763\) | 2.18273 | + | 8.14606i | 0.0790201 | + | 0.294907i | ||||
\(764\) | −120.240 | + | 32.2182i | −4.35013 | + | 1.16561i | ||||
\(765\) | −21.0437 | − | 6.48406i | −0.760837 | − | 0.234432i | ||||
\(766\) | −23.8795 | − | 13.7869i | −0.862802 | − | 0.498139i | ||||
\(767\) | 3.15786 | − | 11.7853i | 0.114024 | − | 0.425542i | ||||
\(768\) | 105.515 | − | 101.672i | 3.80745 | − | 3.66878i | ||||
\(769\) | − | 24.3795i | − | 0.879146i | −0.898207 | − | 0.439573i | \(-0.855130\pi\) | ||
0.898207 | − | 0.439573i | \(-0.144870\pi\) | |||||||
\(770\) | −3.72224 | − | 0.997372i | −0.134140 | − | 0.0359428i | ||||
\(771\) | −13.5995 | + | 47.2320i | −0.489773 | + | 1.70102i | ||||
\(772\) | 58.0676 | + | 100.576i | 2.08990 | + | 3.61981i | ||||
\(773\) | 21.5608 | − | 37.3444i | 0.775488 | − | 1.34319i | −0.159031 | − | 0.987274i | \(-0.550837\pi\) |
0.934520 | − | 0.355911i | \(-0.115830\pi\) | |||||||
\(774\) | 29.0193 | − | 15.3485i | 1.04308 | − | 0.551692i | ||||
\(775\) | 8.42011 | − | 14.5841i | 0.302459 | − | 0.523875i | ||||
\(776\) | −31.3908 | − | 54.3705i | −1.12687 | − | 1.95179i | ||||
\(777\) | 10.9405 | − | 6.04879i | 0.392488 | − | 0.216999i | ||||
\(778\) | 53.7719 | + | 53.7719i | 1.92782 | + | 1.92782i | ||||
\(779\) | 0.0188987 | + | 0.0705307i | 0.000677115 | + | 0.00252703i | ||||
\(780\) | 0.649692 | − | 35.0260i | 0.0232627 | − | 1.25413i | ||||
\(781\) | 4.76723 | 0.170585 | ||||||||
\(782\) | 12.3138 | + | 7.10938i | 0.440341 | + | 0.254231i | ||||
\(783\) | −30.2804 | − | 1.68654i | −1.08213 | − | 0.0602722i | ||||
\(784\) | − | 110.714i | − | 3.95406i | ||||||
\(785\) | −14.1547 | + | 4.84512i | −0.505204 | + | 0.172930i | ||||
\(786\) | 19.0173 | − | 66.0485i | 0.678324 | − | 2.35587i | ||||
\(787\) | −21.0854 | − | 21.0854i | −0.751614 | − | 0.751614i | 0.223167 | − | 0.974780i | \(-0.428361\pi\) |
−0.974780 | + | 0.223167i | \(0.928361\pi\) | |||||||
\(788\) | −27.3129 | + | 47.3074i | −0.972983 | + | 1.68526i | ||||
\(789\) | −0.547645 | + | 1.90201i | −0.0194967 | + | 0.0677135i | ||||
\(790\) | −49.7613 | + | 13.3335i | −1.77043 | + | 0.474385i | ||||
\(791\) | 6.98093 | − | 1.87053i | 0.248213 | − | 0.0665086i | ||||
\(792\) | 45.8091 | − | 10.4704i | 1.62775 | − | 0.372049i | ||||
\(793\) | −16.7014 | + | 16.7014i | −0.593084 | + | 0.593084i | ||||
\(794\) | −21.9573 | + | 12.6771i | −0.779236 | + | 0.449892i | ||||
\(795\) | −1.02576 | + | 0.988397i | −0.0363799 | + | 0.0350548i | ||||
\(796\) | −29.9036 | + | 51.7946i | −1.05991 | + | 1.83581i | ||||
\(797\) | −22.9822 | − | 13.2688i | −0.814073 | − | 0.470005i | 0.0342955 | − | 0.999412i | \(-0.489081\pi\) |
−0.848368 | + | 0.529407i | \(0.822415\pi\) | |||||||
\(798\) | −0.0268153 | + | 0.00665467i | −0.000949252 | + | 0.000235573i | ||||
\(799\) | 65.0795 | 2.30235 | ||||||||
\(800\) | 25.2569 | − | 94.2599i | 0.892965 | − | 3.33259i | ||||
\(801\) | −22.6049 | + | 35.9999i | −0.798704 | + | 1.27200i | ||||
\(802\) | −4.25924 | + | 7.37723i | −0.150399 | + | 0.260499i | ||||
\(803\) | −11.0932 | − | 2.97241i | −0.391470 | − | 0.104894i | ||||
\(804\) | −88.2499 | − | 91.5857i | −3.11234 | − | 3.22998i | ||||
\(805\) | 0.197126 | + | 0.735686i | 0.00694779 | + | 0.0259295i | ||||
\(806\) | 10.0353 | + | 37.4523i | 0.353479 | + | 1.31920i | ||||
\(807\) | −2.88918 | − | 0.0535910i | −0.101704 | − | 0.00188649i | ||||
\(808\) | −101.122 | + | 101.122i | −3.55747 | + | 3.55747i | ||||
\(809\) | 6.53225 | + | 24.3787i | 0.229662 | + | 0.857109i | 0.980483 | + | 0.196604i | \(0.0629912\pi\) |
−0.750821 | + | 0.660505i | \(0.770342\pi\) | |||||||
\(810\) | 24.6778 | + | 16.8029i | 0.867088 | + | 0.590393i | ||||
\(811\) | 30.8859 | + | 8.27585i | 1.08455 | + | 0.290604i | 0.756458 | − | 0.654042i | \(-0.226928\pi\) |
0.328091 | + | 0.944646i | \(0.393595\pi\) | |||||||
\(812\) | −25.5717 | −0.897391 | ||||||||
\(813\) | 12.1435 | − | 6.71393i | 0.425893 | − | 0.235468i | ||||
\(814\) | −28.0592 | − | 28.0592i | −0.983474 | − | 0.983474i | ||||
\(815\) | −7.20418 | + | 4.15934i | −0.252352 | + | 0.145695i | ||||
\(816\) | 178.406 | − | 44.2745i | 6.24547 | − | 1.54992i | ||||
\(817\) | 0.0208715 | + | 0.0208715i | 0.000730201 | + | 0.000730201i | ||||
\(818\) | −19.9892 | − | 34.6224i | −0.698907 | − | 1.21054i | ||||
\(819\) | −6.50681 | − | 2.00490i | −0.227366 | − | 0.0700569i | ||||
\(820\) | 33.2651 | − | 57.6168i | 1.16167 | − | 2.01207i | ||||
\(821\) | 4.12342 | + | 7.14197i | 0.143908 | + | 0.249257i | 0.928965 | − | 0.370167i | \(-0.120700\pi\) |
−0.785057 | + | 0.619424i | \(0.787366\pi\) | |||||||
\(822\) | −25.2957 | + | 6.27755i | −0.882288 | + | 0.218955i | ||||
\(823\) | 19.0337 | − | 5.10006i | 0.663472 | − | 0.177777i | 0.0886596 | − | 0.996062i | \(-0.471742\pi\) |
0.574812 | + | 0.818285i | \(0.305075\pi\) | |||||||
\(824\) | 63.9232i | 2.22687i | ||||||||
\(825\) | 6.75933 | − | 6.51314i | 0.235330 | − | 0.226759i | ||||
\(826\) | 6.19955 | + | 6.19955i | 0.215710 | + | 0.215710i | ||||
\(827\) | 11.3588 | − | 19.6740i | 0.394983 | − | 0.684131i | −0.598116 | − | 0.801410i | \(-0.704084\pi\) |
0.993099 | + | 0.117279i | \(0.0374171\pi\) | |||||||
\(828\) | −9.71795 | − | 10.4670i | −0.337722 | − | 0.363754i | ||||
\(829\) | 4.14724 | + | 2.39441i | 0.144039 | + | 0.0831612i | 0.570288 | − | 0.821445i | \(-0.306832\pi\) |
−0.426248 | + | 0.904606i | \(0.640165\pi\) | |||||||
\(830\) | −0.0527769 | + | 0.0527769i | −0.00183191 | + | 0.00183191i | ||||
\(831\) | −4.90463 | + | 17.0342i | −0.170140 | + | 0.590908i | ||||
\(832\) | 61.2018 | + | 106.005i | 2.12179 | + | 3.67505i | ||||
\(833\) | 19.7113 | − | 34.1410i | 0.682956 | − | 1.18291i | ||||
\(834\) | 26.3151 | − | 91.3944i | 0.911217 | − | 3.16473i | ||||
\(835\) | −8.87620 | − | 2.37837i | −0.307173 | − | 0.0823069i | ||||
\(836\) | 0.0324874 | + | 0.0562697i | 0.00112360 | + | 0.00194613i | ||||
\(837\) | −23.2582 | − | 7.64150i | −0.803923 | − | 0.264129i | ||||
\(838\) | −38.2552 | − | 10.2505i | −1.32150 | − | 0.354096i | ||||
\(839\) | −4.09116 | − | 4.09116i | −0.141243 | − | 0.141243i | 0.632950 | − | 0.774193i | \(-0.281844\pi\) |
−0.774193 | + | 0.632950i | \(0.781844\pi\) | |||||||
\(840\) | 14.0220 | + | 8.44613i | 0.483804 | + | 0.291419i | ||||
\(841\) | − | 5.06466i | − | 0.174644i | ||||||
\(842\) | 42.0073 | + | 72.7588i | 1.44767 | + | 2.50743i | ||||
\(843\) | −13.4760 | + | 46.8032i | −0.464139 | + | 1.61199i | ||||
\(844\) | 34.5381 | + | 34.5381i | 1.18885 | + | 1.18885i | ||||
\(845\) | −4.87326 | − | 1.30579i | −0.167645 | − | 0.0449204i | ||||
\(846\) | −84.3239 | − | 25.9822i | −2.89911 | − | 0.893285i | ||||
\(847\) | −6.43942 | − | 1.72544i | −0.221261 | − | 0.0592867i | ||||
\(848\) | 3.07765 | − | 11.4859i | 0.105687 | − | 0.394429i | ||||
\(849\) | −15.3459 | − | 4.41852i | −0.526669 | − | 0.151643i | ||||
\(850\) | 43.1648 | − | 43.1648i | 1.48054 | − | 1.48054i | ||||
\(851\) | −2.02990 | + | 7.57567i | −0.0695839 | + | 0.259691i | ||||
\(852\) | −29.9264 | − | 8.61669i | −1.02526 | − | 0.295203i | ||||
\(853\) | −37.8800 | − | 21.8700i | −1.29698 | − | 0.748815i | −0.317103 | − | 0.948391i | \(-0.602710\pi\) |
−0.979882 | + | 0.199577i | \(0.936043\pi\) | |||||||
\(854\) | −4.39281 | − | 16.3942i | −0.150319 | − | 0.560998i | ||||
\(855\) | −0.00790439 | + | 0.0256533i | −0.000270324 | + | 0.000877325i | ||||
\(856\) | 54.2874 | + | 94.0285i | 1.85550 | + | 3.21383i | ||||
\(857\) | −7.03591 | + | 26.2584i | −0.240342 | + | 0.896969i | 0.735326 | + | 0.677714i | \(0.237029\pi\) |
−0.975668 | + | 0.219255i | \(0.929637\pi\) | |||||||
\(858\) | −0.400811 | + | 21.6084i | −0.0136835 | + | 0.737700i | ||||
\(859\) | 12.4370 | − | 46.4154i | 0.424344 | − | 1.58367i | −0.341006 | − | 0.940061i | \(-0.610768\pi\) |
0.765351 | − | 0.643614i | \(-0.222566\pi\) | |||||||
\(860\) | − | 26.8938i | − | 0.917071i | ||||||
\(861\) | −8.97212 | − | 9.31125i | −0.305769 | − | 0.317327i | ||||
\(862\) | 12.3914 | + | 46.2454i | 0.422053 | + | 1.57512i | ||||
\(863\) | 35.9822 | − | 35.9822i | 1.22485 | − | 1.22485i | 0.258960 | − | 0.965888i | \(-0.416620\pi\) |
0.965888 | − | 0.258960i | \(-0.0833798\pi\) | |||||||
\(864\) | −141.644 | − | 7.88924i | −4.81883 | − | 0.268397i | ||||
\(865\) | 10.3029 | − | 2.76066i | 0.350309 | − | 0.0938651i | ||||
\(866\) | 91.7040 | + | 52.9453i | 3.11623 | + | 1.79916i | ||||
\(867\) | 34.6026 | + | 9.96311i | 1.17517 | + | 0.338365i | ||||
\(868\) | −19.9391 | − | 5.34267i | −0.676777 | − | 0.181342i | ||||
\(869\) | 22.7443 | − | 6.09432i | 0.771548 | − | 0.206736i | ||||
\(870\) | −17.3029 | + | 28.7256i | −0.586622 | + | 0.973889i | ||||
\(871\) | 32.9412 | − | 19.0186i | 1.11617 | − | 0.644421i | ||||
\(872\) | −109.838 | + | 29.4309i | −3.71957 | + | 0.996656i | ||||
\(873\) | −5.36850 | + | 17.4232i | −0.181696 | + | 0.589687i | ||||
\(874\) | 0.00866668 | − | 0.0150111i | 0.000293155 | − | 0.000507759i | ||||
\(875\) | 7.84400 | 0.265176 | ||||||||
\(876\) | 64.2652 | + | 38.7101i | 2.17132 | + | 1.30789i | ||||
\(877\) | −12.4200 | − | 12.4200i | −0.419394 | − | 0.419394i | 0.465601 | − | 0.884995i | \(-0.345838\pi\) |
−0.884995 | + | 0.465601i | \(0.845838\pi\) | |||||||
\(878\) | 57.3000i | 1.93378i | ||||||||
\(879\) | 1.87249 | − | 3.10864i | 0.0631575 | − | 0.104852i | ||||
\(880\) | 8.08921 | − | 30.1893i | 0.272687 | − | 1.01768i | ||||
\(881\) | 8.77936 | − | 2.35242i | 0.295784 | − | 0.0792551i | −0.107875 | − | 0.994164i | \(-0.534405\pi\) |
0.403659 | + | 0.914909i | \(0.367738\pi\) | |||||||
\(882\) | −39.1704 | + | 36.3672i | −1.31894 | + | 1.22455i | ||||
\(883\) | −34.1160 | + | 34.1160i | −1.14810 | + | 1.14810i | −0.161169 | + | 0.986927i | \(0.551527\pi\) |
−0.986927 | + | 0.161169i | \(0.948473\pi\) | |||||||
\(884\) | 104.131i | 3.50230i | ||||||||
\(885\) | 8.26752 | − | 2.05172i | 0.277910 | − | 0.0689680i | ||||
\(886\) | −37.3735 | −1.25559 | ||||||||
\(887\) | −0.304496 | + | 1.13639i | −0.0102240 | + | 0.0381563i | −0.970849 | − | 0.239690i | \(-0.922954\pi\) |
0.960625 | + | 0.277847i | \(0.0896207\pi\) | |||||||
\(888\) | 81.5590 | + | 147.516i | 2.73694 | + | 4.95033i | ||||
\(889\) | −1.64432 | + | 6.13669i | −0.0551487 | + | 0.205818i | ||||
\(890\) | 23.5018 | + | 40.7063i | 0.787783 | + | 1.36448i | ||||
\(891\) | −11.2794 | − | 7.68005i | −0.377875 | − | 0.257292i | ||||
\(892\) | −4.47046 | + | 16.6840i | −0.149682 | + | 0.558621i | ||||
\(893\) | − | 0.0793351i | − | 0.00265485i | ||||||
\(894\) | 5.13508 | + | 5.32918i | 0.171743 | + | 0.178235i | ||||
\(895\) | −27.5922 | + | 15.9304i | −0.922307 | + | 0.532494i | ||||
\(896\) | −46.1219 | −1.54083 | ||||||||
\(897\) | 3.73824 | − | 2.06680i | 0.124816 | − | 0.0690085i | ||||
\(898\) | 3.22625 | − | 5.58802i | 0.107661 | − | 0.186475i | ||||
\(899\) | 7.11709 | − | 26.5613i | 0.237368 | − | 0.885871i | ||||
\(900\) | −54.2043 | + | 28.6691i | −1.80681 | + | 0.955636i | ||||
\(901\) | 2.99400 | − | 2.99400i | 0.0997446 | − | 0.0997446i | ||||
\(902\) | −20.5221 | + | 35.5453i | −0.683310 | + | 1.18353i | ||||
\(903\) | −5.02290 | − | 1.44624i | −0.167152 | − | 0.0481278i | ||||
\(904\) | 25.2214 | + | 94.1275i | 0.838851 | + | 3.13063i | ||||
\(905\) | −0.0886504 | − | 0.153547i | −0.00294684 | − | 0.00510408i | ||||
\(906\) | 4.07364 | + | 16.4149i | 0.135338 | + | 0.545349i | ||||
\(907\) | −33.9671 | − | 19.6109i | −1.12786 | − | 0.651170i | −0.184464 | − | 0.982839i | \(-0.559055\pi\) |
−0.943396 | + | 0.331669i | \(0.892388\pi\) | |||||||
\(908\) | 91.9606 | − | 24.6408i | 3.05182 | − | 0.817733i | ||||
\(909\) | 41.5005 | + | 1.54010i | 1.37649 | + | 0.0510820i | ||||
\(910\) | −5.32357 | + | 5.32357i | −0.176475 | + | 0.176475i | ||||
\(911\) | −39.3454 | + | 22.7161i | −1.30357 | + | 0.752618i | −0.981015 | − | 0.193932i | \(-0.937876\pi\) |
−0.322557 | + | 0.946550i | \(0.604543\pi\) | |||||||
\(912\) | −0.0539728 | − | 0.217486i | −0.00178722 | − | 0.00720168i | ||||
\(913\) | 0.0241226 | − | 0.0241226i | 0.000798342 | − | 0.000798342i | ||||
\(914\) | 59.4853 | + | 59.4853i | 1.96760 | + | 1.96760i | ||||
\(915\) | −15.8464 | − | 4.56263i | −0.523865 | − | 0.150836i | ||||
\(916\) | 1.43864 | − | 5.36907i | 0.0475339 | − | 0.177399i | ||||
\(917\) | −9.47741 | + | 5.47178i | −0.312972 | + | 0.180694i | ||||
\(918\) | −74.2670 | − | 48.5767i | −2.45118 | − | 1.60327i | ||||
\(919\) | −10.8372 | − | 10.8372i | −0.357485 | − | 0.357485i | 0.505400 | − | 0.862885i | \(-0.331345\pi\) |
−0.862885 | + | 0.505400i | \(0.831345\pi\) | |||||||
\(920\) | −9.91963 | + | 2.65796i | −0.327041 | + | 0.0876302i | ||||
\(921\) | 26.9811 | + | 0.500468i | 0.889058 | + | 0.0164910i | ||||
\(922\) | 14.5990 | − | 3.91180i | 0.480793 | − | 0.128828i | ||||
\(923\) | 4.65686 | − | 8.06592i | 0.153283 | − | 0.265493i | ||||
\(924\) | −9.85611 | − | 5.93683i | −0.324242 | − | 0.195307i | ||||
\(925\) | 29.1603 | + | 16.8357i | 0.958784 | + | 0.553554i | ||||
\(926\) | −84.1924 | −2.76673 | ||||||||
\(927\) | 13.6038 | − | 12.6302i | 0.446808 | − | 0.414832i | ||||
\(928\) | − | 159.346i | − | 5.23079i | ||||||
\(929\) | 6.76773 | − | 3.90735i | 0.222042 | − | 0.128196i | −0.384853 | − | 0.922978i | \(-0.625748\pi\) |
0.606895 | + | 0.794782i | \(0.292415\pi\) | |||||||
\(930\) | −19.4932 | + | 18.7832i | −0.639208 | + | 0.615926i | ||||
\(931\) | −0.0416195 | − | 0.0240290i | −0.00136402 | − | 0.000787520i | ||||
\(932\) | −64.7216 | − | 37.3670i | −2.12003 | − | 1.22400i | ||||
\(933\) | −16.7591 | + | 4.15907i | −0.548670 | + | 0.136162i | ||||
\(934\) | 17.1681 | + | 17.1681i | 0.561757 | + | 0.561757i | ||||
\(935\) | 7.86934 | − | 7.86934i | 0.257355 | − | 0.257355i | ||||
\(936\) | 27.0331 | − | 87.7346i | 0.883605 | − | 2.86770i | ||||
\(937\) | −6.44207 | − | 24.0421i | −0.210453 | − | 0.785422i | −0.987718 | − | 0.156248i | \(-0.950060\pi\) |
0.777265 | − | 0.629174i | \(-0.216607\pi\) | |||||||
\(938\) | 27.3330i | 0.892455i | ||||||||
\(939\) | 27.4527 | + | 28.4904i | 0.895884 | + | 0.929748i | ||||
\(940\) | −51.1134 | + | 51.1134i | −1.66713 | + | 1.66713i | ||||
\(941\) | −10.4928 | −0.342055 | −0.171027 | − | 0.985266i | \(-0.554709\pi\) | ||||
−0.171027 | + | 0.985266i | \(0.554709\pi\) | |||||||
\(942\) | −60.2206 | + | 2.98034i | −1.96209 | + | 0.0971046i | ||||
\(943\) | 8.11219 | 0.264169 | ||||||||
\(944\) | −50.2815 | + | 50.2815i | −1.63652 | + | 1.63652i | ||||
\(945\) | −0.973066 | − | 4.65291i | −0.0316538 | − | 0.151359i | ||||
\(946\) | 16.5915i | 0.539435i | ||||||||
\(947\) | 8.61161 | + | 32.1390i | 0.279840 | + | 1.04438i | 0.952528 | + | 0.304451i | \(0.0984728\pi\) |
−0.672688 | + | 0.739926i | \(0.734861\pi\) | |||||||
\(948\) | −153.793 | − | 2.85269i | −4.99498 | − | 0.0926510i | ||||
\(949\) | −15.8655 | + | 15.8655i | −0.515017 | + | 0.515017i | ||||
\(950\) | −0.0526200 | − | 0.0526200i | −0.00170722 | − | 0.00170722i | ||||
\(951\) | −5.08865 | − | 20.5050i | −0.165011 | − | 0.664919i | ||||
\(952\) | −42.1380 | − | 24.3284i | −1.36570 | − | 0.788488i | ||||
\(953\) | 2.46738 | + | 1.42454i | 0.0799263 | + | 0.0461455i | 0.539431 | − | 0.842030i | \(-0.318640\pi\) |
−0.459504 | + | 0.888176i | \(0.651973\pi\) | |||||||
\(954\) | −5.07466 | + | 2.68403i | −0.164298 | + | 0.0868985i | ||||
\(955\) | 22.5095 | − | 12.9959i | 0.728391 | − | 0.420537i | ||||
\(956\) | − | 33.4394i | − | 1.08151i | ||||||
\(957\) | 7.90858 | − | 13.1296i | 0.255648 | − | 0.424418i | ||||
\(958\) | 68.6551 | 2.21815 | ||||||||
\(959\) | 3.59382 | + | 2.07489i | 0.116050 | + | 0.0670017i | ||||
\(960\) | −44.0941 | + | 73.2034i | −1.42313 | + | 2.36263i | ||||
\(961\) | −4.40113 | + | 7.62299i | −0.141972 | + | 0.245903i | ||||
\(962\) | −74.8843 | + | 20.0652i | −2.41437 | + | 0.646928i | ||||
\(963\) | 9.28430 | − | 30.1318i | 0.299182 | − | 0.970982i | ||||
\(964\) | −0.275014 | + | 0.0736897i | −0.00885759 | + | 0.00237338i | ||||
\(965\) | −17.1466 | − | 17.1466i | −0.551970 | − | 0.551970i | ||||
\(966\) | −0.0569254 | + | 3.06895i | −0.00183154 | + | 0.0987418i | ||||
\(967\) | −19.3438 | + | 11.1682i | −0.622056 | + | 0.359144i | −0.777669 | − | 0.628674i | \(-0.783598\pi\) |
0.155613 | + | 0.987818i | \(0.450265\pi\) | |||||||
\(968\) | 23.2650 | − | 86.8260i | 0.747764 | − | 2.79069i | ||||
\(969\) | 0.0220772 | − | 0.0766757i | 0.000709221 | − | 0.00246318i | ||||
\(970\) | 14.2549 | + | 14.2549i | 0.457697 | + | 0.457697i | ||||
\(971\) | −1.91995 | + | 1.91995i | −0.0616140 | + | 0.0616140i | −0.737242 | − | 0.675628i | \(-0.763872\pi\) |
0.675628 | + | 0.737242i | \(0.263872\pi\) | |||||||
\(972\) | 56.9253 | + | 68.5991i | 1.82588 | + | 2.20032i | ||||
\(973\) | −13.1143 | + | 7.57156i | −0.420426 | + | 0.242733i | ||||
\(974\) | −10.6880 | + | 10.6880i | −0.342467 | + | 0.342467i | ||||
\(975\) | −4.41708 | − | 17.7988i | −0.141460 | − | 0.570018i | ||||
\(976\) | 132.965 | − | 35.6280i | 4.25612 | − | 1.14042i | ||||
\(977\) | −3.77882 | − | 2.18170i | −0.120895 | − | 0.0697989i | 0.438333 | − | 0.898813i | \(-0.355569\pi\) |
−0.559228 | + | 0.829014i | \(0.688902\pi\) | |||||||
\(978\) | −32.5381 | + | 8.07488i | −1.04045 | + | 0.258206i | ||||
\(979\) | −10.7419 | − | 18.6056i | −0.343314 | − | 0.594637i | ||||
\(980\) | 11.3331 | + | 42.2955i | 0.362021 | + | 1.35108i | ||||
\(981\) | 27.9655 | + | 17.5600i | 0.892871 | + | 0.560646i | ||||
\(982\) | −26.5425 | + | 45.9729i | −0.847005 | + | 1.46706i | ||||
\(983\) | −43.8265 | + | 43.8265i | −1.39785 | + | 1.39785i | −0.591664 | + | 0.806185i | \(0.701529\pi\) |
−0.806185 | + | 0.591664i | \(0.798471\pi\) | |||||||
\(984\) | 125.548 | − | 120.976i | 4.00234 | − | 3.85656i | ||||
\(985\) | 2.95206 | − | 11.0172i | 0.0940604 | − | 0.351038i | ||||
\(986\) | 49.8394 | − | 86.3245i | 1.58721 | − | 2.74913i | ||||
\(987\) | 6.79767 | + | 12.2950i | 0.216372 | + | 0.391354i | ||||
\(988\) | 0.126941 | 0.00403853 | ||||||||
\(989\) | 2.83990 | − | 1.63961i | 0.0903034 | − | 0.0521367i | ||||
\(990\) | −13.3381 | + | 7.05462i | −0.423912 | + | 0.224210i | ||||
\(991\) | − | 6.36327i | − | 0.202136i | −0.994880 | − | 0.101068i | \(-0.967774\pi\) | ||
0.994880 | − | 0.101068i | \(-0.0322260\pi\) | |||||||
\(992\) | 33.2920 | − | 124.247i | 1.05702 | − | 3.94486i | ||||
\(993\) | 13.3251 | + | 53.6940i | 0.422858 | + | 1.70393i | ||||
\(994\) | 3.34636 | + | 5.79606i | 0.106140 | + | 0.183840i | ||||
\(995\) | 3.23207 | − | 12.0622i | 0.102463 | − | 0.382399i | ||||
\(996\) | −0.195032 | + | 0.107829i | −0.00617982 | + | 0.00341670i | ||||
\(997\) | −11.3532 | + | 42.3707i | −0.359559 | + | 1.34189i | 0.515090 | + | 0.857136i | \(0.327759\pi\) |
−0.874649 | + | 0.484757i | \(0.838908\pi\) | |||||||
\(998\) | 26.4190 | 0.836280 | ||||||||
\(999\) | 15.2789 | − | 46.5040i | 0.483402 | − | 1.47132i |
(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 | 471.2.l.b.50.1 | ✓ | 200 | |
3.2 | odd | 2 | inner | 471.2.l.b.50.50 | yes | 200 | |
157.22 | odd | 12 | inner | 471.2.l.b.179.50 | yes | 200 | |
471.179 | even | 12 | inner | 471.2.l.b.179.1 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
471.2.l.b.50.1 | ✓ | 200 | 1.1 | even | 1 | trivial | |
471.2.l.b.50.50 | yes | 200 | 3.2 | odd | 2 | inner | |
471.2.l.b.179.1 | yes | 200 | 471.179 | even | 12 | inner | |
471.2.l.b.179.50 | yes | 200 | 157.22 | odd | 12 | inner |