Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(85,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.85");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.q (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 673.1 | ||
Character | \(\chi\) | \(=\) | 966.673 |
Dual form | 966.2.q.f.211.1 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{9}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.415415 | + | 0.909632i | −0.293743 | + | 0.643207i | ||||
\(3\) | −0.959493 | − | 0.281733i | −0.553964 | − | 0.162658i | ||||
\(4\) | −0.654861 | − | 0.755750i | −0.327430 | − | 0.377875i | ||||
\(5\) | −2.44943 | + | 1.57415i | −1.09542 | + | 0.703982i | −0.958068 | − | 0.286541i | \(-0.907495\pi\) |
−0.137349 | + | 0.990523i | \(0.543858\pi\) | |||||||
\(6\) | 0.654861 | − | 0.755750i | 0.267346 | − | 0.308533i | ||||
\(7\) | 0.142315 | − | 0.989821i | 0.0537900 | − | 0.374117i | ||||
\(8\) | 0.959493 | − | 0.281733i | 0.339232 | − | 0.0996075i | ||||
\(9\) | 0.841254 | + | 0.540641i | 0.280418 | + | 0.180214i | ||||
\(10\) | −0.414370 | − | 2.88200i | −0.131035 | − | 0.911369i | ||||
\(11\) | −1.74689 | − | 3.82515i | −0.526707 | − | 1.15333i | −0.966837 | − | 0.255393i | \(-0.917795\pi\) |
0.440131 | − | 0.897934i | \(-0.354932\pi\) | |||||||
\(12\) | 0.415415 | + | 0.909632i | 0.119920 | + | 0.262588i | ||||
\(13\) | 0.00630970 | + | 0.0438849i | 0.00175000 | + | 0.0121715i | 0.990678 | − | 0.136226i | \(-0.0434975\pi\) |
−0.988928 | + | 0.148398i | \(0.952588\pi\) | |||||||
\(14\) | 0.841254 | + | 0.540641i | 0.224834 | + | 0.144492i | ||||
\(15\) | 2.79370 | − | 0.820304i | 0.721330 | − | 0.211802i | ||||
\(16\) | −0.142315 | + | 0.989821i | −0.0355787 | + | 0.247455i | ||||
\(17\) | 3.34237 | − | 3.85731i | 0.810645 | − | 0.935534i | −0.188270 | − | 0.982117i | \(-0.560288\pi\) |
0.998914 | + | 0.0465834i | \(0.0148333\pi\) | |||||||
\(18\) | −0.841254 | + | 0.540641i | −0.198285 | + | 0.127430i | ||||
\(19\) | 2.57237 | + | 2.96868i | 0.590143 | + | 0.681061i | 0.969754 | − | 0.244085i | \(-0.0784877\pi\) |
−0.379611 | + | 0.925146i | \(0.623942\pi\) | |||||||
\(20\) | 2.79370 | + | 0.820304i | 0.624690 | + | 0.183425i | ||||
\(21\) | −0.415415 | + | 0.909632i | −0.0906510 | + | 0.198498i | ||||
\(22\) | 4.20516 | 0.896544 | ||||||||
\(23\) | −1.92651 | + | 4.39187i | −0.401705 | + | 0.915769i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 1.44467 | − | 3.16338i | 0.288933 | − | 0.632676i | ||||
\(26\) | −0.0425403 | − | 0.0124910i | −0.00834284 | − | 0.00244968i | ||||
\(27\) | −0.654861 | − | 0.755750i | −0.126028 | − | 0.145444i | ||||
\(28\) | −0.841254 | + | 0.540641i | −0.158982 | + | 0.102172i | ||||
\(29\) | −6.05081 | + | 6.98300i | −1.12361 | + | 1.29671i | −0.173483 | + | 0.984837i | \(0.555502\pi\) |
−0.950123 | + | 0.311874i | \(0.899043\pi\) | |||||||
\(30\) | −0.414370 | + | 2.88200i | −0.0756532 | + | 0.526179i | ||||
\(31\) | 8.79091 | − | 2.58124i | 1.57889 | − | 0.463605i | 0.629319 | − | 0.777147i | \(-0.283334\pi\) |
0.949574 | + | 0.313542i | \(0.101516\pi\) | |||||||
\(32\) | −0.841254 | − | 0.540641i | −0.148714 | − | 0.0955727i | ||||
\(33\) | 0.598457 | + | 4.16236i | 0.104178 | + | 0.724574i | ||||
\(34\) | 2.12026 | + | 4.64271i | 0.363621 | + | 0.796219i | ||||
\(35\) | 1.20954 | + | 2.64852i | 0.204449 | + | 0.447682i | ||||
\(36\) | −0.142315 | − | 0.989821i | −0.0237191 | − | 0.164970i | ||||
\(37\) | −3.30109 | − | 2.12148i | −0.542696 | − | 0.348769i | 0.240397 | − | 0.970675i | \(-0.422722\pi\) |
−0.783092 | + | 0.621905i | \(0.786359\pi\) | |||||||
\(38\) | −3.76900 | + | 1.10668i | −0.611413 | + | 0.179527i | ||||
\(39\) | 0.00630970 | − | 0.0438849i | 0.00101036 | − | 0.00702722i | ||||
\(40\) | −1.90672 | + | 2.20047i | −0.301479 | + | 0.347925i | ||||
\(41\) | −0.422581 | + | 0.271576i | −0.0659961 | + | 0.0424131i | −0.573223 | − | 0.819400i | \(-0.694307\pi\) |
0.507227 | + | 0.861813i | \(0.330671\pi\) | |||||||
\(42\) | −0.654861 | − | 0.755750i | −0.101047 | − | 0.116615i | ||||
\(43\) | 9.00896 | + | 2.64527i | 1.37385 | + | 0.403400i | 0.883626 | − | 0.468194i | \(-0.155095\pi\) |
0.490228 | + | 0.871594i | \(0.336913\pi\) | |||||||
\(44\) | −1.74689 | + | 3.82515i | −0.263353 | + | 0.576663i | ||||
\(45\) | −2.91164 | −0.434042 | ||||||||
\(46\) | −3.19469 | − | 3.57687i | −0.471031 | − | 0.527380i | ||||
\(47\) | −3.05740 | −0.445968 | −0.222984 | − | 0.974822i | \(-0.571580\pi\) | ||||
−0.222984 | + | 0.974822i | \(0.571580\pi\) | |||||||
\(48\) | 0.415415 | − | 0.909632i | 0.0599600 | − | 0.131294i | ||||
\(49\) | −0.959493 | − | 0.281733i | −0.137070 | − | 0.0402475i | ||||
\(50\) | 2.27737 | + | 2.62823i | 0.322069 | + | 0.371688i | ||||
\(51\) | −4.29371 | + | 2.75940i | −0.601240 | + | 0.386394i | ||||
\(52\) | 0.0290341 | − | 0.0335071i | 0.00402630 | − | 0.00464660i | ||||
\(53\) | −1.15940 | + | 8.06380i | −0.159256 | + | 1.10765i | 0.740753 | + | 0.671777i | \(0.234469\pi\) |
−0.900009 | + | 0.435871i | \(0.856440\pi\) | |||||||
\(54\) | 0.959493 | − | 0.281733i | 0.130570 | − | 0.0383389i | ||||
\(55\) | 10.3002 | + | 6.61956i | 1.38888 | + | 0.892582i | ||||
\(56\) | −0.142315 | − | 0.989821i | −0.0190176 | − | 0.132270i | ||||
\(57\) | −1.63180 | − | 3.57314i | −0.216137 | − | 0.473274i | ||||
\(58\) | −3.83837 | − | 8.40485i | −0.504002 | − | 1.10361i | ||||
\(59\) | 1.33092 | + | 9.25675i | 0.173271 | + | 1.20513i | 0.871915 | + | 0.489657i | \(0.162878\pi\) |
−0.698644 | + | 0.715469i | \(0.746213\pi\) | |||||||
\(60\) | −2.44943 | − | 1.57415i | −0.316220 | − | 0.203222i | ||||
\(61\) | 4.50465 | − | 1.32269i | 0.576762 | − | 0.169353i | 0.0196744 | − | 0.999806i | \(-0.493737\pi\) |
0.557087 | + | 0.830454i | \(0.311919\pi\) | |||||||
\(62\) | −1.30389 | + | 9.06878i | −0.165595 | + | 1.15174i | ||||
\(63\) | 0.654861 | − | 0.755750i | 0.0825047 | − | 0.0952155i | ||||
\(64\) | 0.841254 | − | 0.540641i | 0.105157 | − | 0.0675801i | ||||
\(65\) | −0.0845367 | − | 0.0975606i | −0.0104855 | − | 0.0121009i | ||||
\(66\) | −4.03483 | − | 1.18473i | −0.496653 | − | 0.145830i | ||||
\(67\) | −3.72133 | + | 8.14858i | −0.454633 | + | 0.995508i | 0.534045 | + | 0.845456i | \(0.320671\pi\) |
−0.988678 | + | 0.150052i | \(0.952056\pi\) | |||||||
\(68\) | −5.10395 | −0.618944 | ||||||||
\(69\) | 3.08581 | − | 3.67121i | 0.371487 | − | 0.441962i | ||||
\(70\) | −2.91164 | −0.348008 | ||||||||
\(71\) | −0.0557627 | + | 0.122103i | −0.00661782 | + | 0.0144910i | −0.912912 | − | 0.408156i | \(-0.866172\pi\) |
0.906294 | + | 0.422647i | \(0.138899\pi\) | |||||||
\(72\) | 0.959493 | + | 0.281733i | 0.113077 | + | 0.0332025i | ||||
\(73\) | 6.49842 | + | 7.49958i | 0.760583 | + | 0.877759i | 0.995549 | − | 0.0942441i | \(-0.0300434\pi\) |
−0.234966 | + | 0.972004i | \(0.575498\pi\) | |||||||
\(74\) | 3.30109 | − | 2.12148i | 0.383744 | − | 0.246617i | ||||
\(75\) | −2.27737 | + | 2.62823i | −0.262968 | + | 0.303482i | ||||
\(76\) | 0.559030 | − | 3.88814i | 0.0641251 | − | 0.446000i | ||||
\(77\) | −4.03483 | + | 1.18473i | −0.459811 | + | 0.135013i | ||||
\(78\) | 0.0372980 | + | 0.0239700i | 0.00422317 | + | 0.00271406i | ||||
\(79\) | 0.394108 | + | 2.74108i | 0.0443406 | + | 0.308395i | 0.999907 | + | 0.0136203i | \(0.00433562\pi\) |
−0.955567 | + | 0.294775i | \(0.904755\pi\) | |||||||
\(80\) | −1.20954 | − | 2.64852i | −0.135231 | − | 0.296114i | ||||
\(81\) | 0.415415 | + | 0.909632i | 0.0461572 | + | 0.101070i | ||||
\(82\) | −0.0714881 | − | 0.497210i | −0.00789453 | − | 0.0549077i | ||||
\(83\) | 12.9359 | + | 8.31339i | 1.41990 | + | 0.912513i | 0.999988 | + | 0.00494679i | \(0.00157462\pi\) |
0.419910 | + | 0.907566i | \(0.362062\pi\) | |||||||
\(84\) | 0.959493 | − | 0.281733i | 0.104689 | − | 0.0307395i | ||||
\(85\) | −2.11492 | + | 14.7096i | −0.229395 | + | 1.59548i | ||||
\(86\) | −6.14868 | + | 7.09596i | −0.663029 | + | 0.765177i | ||||
\(87\) | 7.77305 | − | 4.99543i | 0.833358 | − | 0.535567i | ||||
\(88\) | −2.75380 | − | 3.17805i | −0.293556 | − | 0.338781i | ||||
\(89\) | 18.0292 | + | 5.29387i | 1.91110 | + | 0.561149i | 0.981069 | + | 0.193659i | \(0.0620357\pi\) |
0.930028 | + | 0.367489i | \(0.119783\pi\) | |||||||
\(90\) | 1.20954 | − | 2.64852i | 0.127497 | − | 0.279179i | ||||
\(91\) | 0.0443362 | 0.00464770 | ||||||||
\(92\) | 4.58075 | − | 1.42011i | 0.477577 | − | 0.148056i | ||||
\(93\) | −9.16203 | −0.950059 | ||||||||
\(94\) | 1.27009 | − | 2.78111i | 0.131000 | − | 0.286850i | ||||
\(95\) | −10.9740 | − | 3.22225i | −1.12591 | − | 0.330596i | ||||
\(96\) | 0.654861 | + | 0.755750i | 0.0668364 | + | 0.0771334i | ||||
\(97\) | −1.20825 | + | 0.776498i | −0.122680 | + | 0.0788414i | −0.600542 | − | 0.799594i | \(-0.705048\pi\) |
0.477862 | + | 0.878435i | \(0.341412\pi\) | |||||||
\(98\) | 0.654861 | − | 0.755750i | 0.0661509 | − | 0.0763422i | ||||
\(99\) | 0.598457 | − | 4.16236i | 0.0601472 | − | 0.418333i | ||||
\(100\) | −3.33678 | + | 0.979766i | −0.333678 | + | 0.0979766i | ||||
\(101\) | −10.1668 | − | 6.53379i | −1.01163 | − | 0.650136i | −0.0738164 | − | 0.997272i | \(-0.523518\pi\) |
−0.937815 | + | 0.347136i | \(0.887154\pi\) | |||||||
\(102\) | −0.726367 | − | 5.05200i | −0.0719211 | − | 0.500222i | ||||
\(103\) | −5.68061 | − | 12.4388i | −0.559727 | − | 1.22563i | −0.952089 | − | 0.305820i | \(-0.901069\pi\) |
0.392363 | − | 0.919811i | \(-0.371658\pi\) | |||||||
\(104\) | 0.0184179 | + | 0.0403296i | 0.00180603 | + | 0.00395465i | ||||
\(105\) | −0.414370 | − | 2.88200i | −0.0404383 | − | 0.281255i | ||||
\(106\) | −6.85346 | − | 4.40445i | −0.665667 | − | 0.427798i | ||||
\(107\) | 18.2175 | − | 5.34915i | 1.76115 | − | 0.517121i | 0.768686 | − | 0.639627i | \(-0.220911\pi\) |
0.992468 | + | 0.122505i | \(0.0390928\pi\) | |||||||
\(108\) | −0.142315 | + | 0.989821i | −0.0136943 | + | 0.0952456i | ||||
\(109\) | −5.16435 | + | 5.95998i | −0.494655 | + | 0.570863i | −0.947104 | − | 0.320928i | \(-0.896005\pi\) |
0.452448 | + | 0.891791i | \(0.350551\pi\) | |||||||
\(110\) | −10.3002 | + | 6.61956i | −0.982090 | + | 0.631151i | ||||
\(111\) | 2.56968 | + | 2.96557i | 0.243903 | + | 0.281479i | ||||
\(112\) | 0.959493 | + | 0.281733i | 0.0906636 | + | 0.0266212i | ||||
\(113\) | 3.59975 | − | 7.88235i | 0.338636 | − | 0.741509i | −0.661327 | − | 0.750097i | \(-0.730007\pi\) |
0.999963 | + | 0.00858859i | \(0.00273387\pi\) | |||||||
\(114\) | 3.92812 | 0.367902 | ||||||||
\(115\) | −2.19463 | − | 13.7902i | −0.204650 | − | 1.28594i | ||||
\(116\) | 9.23984 | 0.857897 | ||||||||
\(117\) | −0.0184179 | + | 0.0403296i | −0.00170274 | + | 0.00372848i | ||||
\(118\) | −8.97312 | − | 2.63475i | −0.826043 | − | 0.242548i | ||||
\(119\) | −3.34237 | − | 3.85731i | −0.306395 | − | 0.353599i | ||||
\(120\) | 2.44943 | − | 1.57415i | 0.223601 | − | 0.143700i | ||||
\(121\) | −4.37670 | + | 5.05098i | −0.397882 | + | 0.459180i | ||||
\(122\) | −0.668144 | + | 4.64704i | −0.0604909 | + | 0.420723i | ||||
\(123\) | 0.481976 | − | 0.141521i | 0.0434583 | − | 0.0127605i | ||||
\(124\) | −7.70759 | − | 4.95337i | −0.692162 | − | 0.444826i | ||||
\(125\) | −0.630817 | − | 4.38743i | −0.0564220 | − | 0.392424i | ||||
\(126\) | 0.415415 | + | 0.909632i | 0.0370081 | + | 0.0810365i | ||||
\(127\) | −0.493984 | − | 1.08167i | −0.0438340 | − | 0.0959831i | 0.886448 | − | 0.462828i | \(-0.153165\pi\) |
−0.930282 | + | 0.366845i | \(0.880438\pi\) | |||||||
\(128\) | 0.142315 | + | 0.989821i | 0.0125790 | + | 0.0874887i | ||||
\(129\) | −7.89878 | − | 5.07624i | −0.695449 | − | 0.446938i | ||||
\(130\) | 0.123862 | − | 0.0363692i | 0.0108634 | − | 0.00318979i | ||||
\(131\) | −0.745673 | + | 5.18627i | −0.0651498 | + | 0.453127i | 0.930968 | + | 0.365100i | \(0.118965\pi\) |
−0.996118 | + | 0.0880267i | \(0.971944\pi\) | |||||||
\(132\) | 2.75380 | − | 3.17805i | 0.239687 | − | 0.276614i | ||||
\(133\) | 3.30454 | − | 2.12370i | 0.286540 | − | 0.184148i | ||||
\(134\) | −5.86631 | − | 6.77009i | −0.506772 | − | 0.584847i | ||||
\(135\) | 2.79370 | + | 0.820304i | 0.240443 | + | 0.0706005i | ||||
\(136\) | 2.12026 | − | 4.64271i | 0.181810 | − | 0.398109i | ||||
\(137\) | −10.9991 | −0.939716 | −0.469858 | − | 0.882742i | \(-0.655695\pi\) | ||||
−0.469858 | + | 0.882742i | \(0.655695\pi\) | |||||||
\(138\) | 2.05756 | + | 4.33203i | 0.175151 | + | 0.368766i | ||||
\(139\) | 3.56023 | 0.301975 | 0.150987 | − | 0.988536i | \(-0.451755\pi\) | ||||
0.150987 | + | 0.988536i | \(0.451755\pi\) | |||||||
\(140\) | 1.20954 | − | 2.64852i | 0.102225 | − | 0.223841i | ||||
\(141\) | 2.93356 | + | 0.861370i | 0.247050 | + | 0.0725404i | ||||
\(142\) | −0.0879045 | − | 0.101447i | −0.00737678 | − | 0.00851326i | ||||
\(143\) | 0.156844 | − | 0.100798i | 0.0131160 | − | 0.00842912i | ||||
\(144\) | −0.654861 | + | 0.755750i | −0.0545717 | + | 0.0629791i | ||||
\(145\) | 3.82871 | − | 26.6292i | 0.317957 | − | 2.21144i | ||||
\(146\) | −9.52140 | + | 2.79574i | −0.787997 | + | 0.231377i | ||||
\(147\) | 0.841254 | + | 0.540641i | 0.0693854 | + | 0.0445913i | ||||
\(148\) | 0.558445 | + | 3.88407i | 0.0459039 | + | 0.319269i | ||||
\(149\) | 1.80612 | + | 3.95486i | 0.147964 | + | 0.323995i | 0.969072 | − | 0.246777i | \(-0.0793714\pi\) |
−0.821109 | + | 0.570772i | \(0.806644\pi\) | |||||||
\(150\) | −1.44467 | − | 3.16338i | −0.117957 | − | 0.258289i | ||||
\(151\) | 1.20961 | + | 8.41302i | 0.0984366 | + | 0.684642i | 0.977961 | + | 0.208788i | \(0.0669518\pi\) |
−0.879524 | + | 0.475854i | \(0.842139\pi\) | |||||||
\(152\) | 3.30454 | + | 2.12370i | 0.268034 | + | 0.172255i | ||||
\(153\) | 4.89720 | − | 1.43795i | 0.395915 | − | 0.116251i | ||||
\(154\) | 0.598457 | − | 4.16236i | 0.0482251 | − | 0.335413i | ||||
\(155\) | −17.4694 | + | 20.1608i | −1.40318 | + | 1.61935i | ||||
\(156\) | −0.0372980 | + | 0.0239700i | −0.00298623 | + | 0.00191913i | ||||
\(157\) | 6.52430 | + | 7.52945i | 0.520696 | + | 0.600915i | 0.953805 | − | 0.300426i | \(-0.0971289\pi\) |
−0.433109 | + | 0.901342i | \(0.642583\pi\) | |||||||
\(158\) | −2.65709 | − | 0.780192i | −0.211387 | − | 0.0620688i | ||||
\(159\) | 3.38427 | − | 7.41052i | 0.268390 | − | 0.587692i | ||||
\(160\) | 2.91164 | 0.230185 | ||||||||
\(161\) | 4.07300 | + | 2.53193i | 0.320997 | + | 0.199544i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 3.99635 | − | 8.75079i | 0.313018 | − | 0.685415i | −0.686095 | − | 0.727512i | \(-0.740677\pi\) |
0.999114 | + | 0.0420972i | \(0.0134039\pi\) | |||||||
\(164\) | 0.481976 | + | 0.141521i | 0.0376360 | + | 0.0110509i | ||||
\(165\) | −8.01806 | − | 9.25334i | −0.624205 | − | 0.720371i | ||||
\(166\) | −12.9359 | + | 8.31339i | −1.00402 | + | 0.645244i | ||||
\(167\) | 1.58231 | − | 1.82608i | 0.122443 | − | 0.141307i | −0.691218 | − | 0.722646i | \(-0.742926\pi\) |
0.813661 | + | 0.581339i | \(0.197471\pi\) | |||||||
\(168\) | −0.142315 | + | 0.989821i | −0.0109798 | + | 0.0763664i | ||||
\(169\) | 12.4715 | − | 3.66197i | 0.959348 | − | 0.281690i | ||||
\(170\) | −12.5017 | − | 8.03438i | −0.958840 | − | 0.616209i | ||||
\(171\) | 0.559030 | + | 3.88814i | 0.0427501 | + | 0.297333i | ||||
\(172\) | −3.90045 | − | 8.54080i | −0.297407 | − | 0.651230i | ||||
\(173\) | −6.53267 | − | 14.3046i | −0.496670 | − | 1.08756i | −0.977537 | − | 0.210762i | \(-0.932405\pi\) |
0.480867 | − | 0.876793i | \(-0.340322\pi\) | |||||||
\(174\) | 1.31497 | + | 9.14579i | 0.0996873 | + | 0.693341i | ||||
\(175\) | −2.92558 | − | 1.88016i | −0.221153 | − | 0.142127i | ||||
\(176\) | 4.03483 | − | 1.18473i | 0.304136 | − | 0.0893025i | ||||
\(177\) | 1.33092 | − | 9.25675i | 0.100038 | − | 0.695780i | ||||
\(178\) | −12.3051 | + | 14.2008i | −0.922305 | + | 1.06440i | ||||
\(179\) | −1.82579 | + | 1.17336i | −0.136466 | + | 0.0877013i | −0.607092 | − | 0.794631i | \(-0.707664\pi\) |
0.470627 | + | 0.882332i | \(0.344028\pi\) | |||||||
\(180\) | 1.90672 | + | 2.20047i | 0.142118 | + | 0.164013i | ||||
\(181\) | 13.6080 | + | 3.99567i | 1.01148 | + | 0.296996i | 0.745157 | − | 0.666889i | \(-0.232374\pi\) |
0.266319 | + | 0.963885i | \(0.414193\pi\) | |||||||
\(182\) | −0.0184179 | + | 0.0403296i | −0.00136523 | + | 0.00298943i | ||||
\(183\) | −4.69483 | −0.347052 | ||||||||
\(184\) | −0.611139 | + | 4.75673i | −0.0450538 | + | 0.350671i | ||||
\(185\) | 11.4253 | 0.840005 | ||||||||
\(186\) | 3.80605 | − | 8.33408i | 0.279073 | − | 0.611084i | ||||
\(187\) | −20.5935 | − | 6.04681i | −1.50595 | − | 0.442186i | ||||
\(188\) | 2.00217 | + | 2.31063i | 0.146024 | + | 0.168520i | ||||
\(189\) | −0.841254 | + | 0.540641i | −0.0611922 | + | 0.0393258i | ||||
\(190\) | 7.48982 | − | 8.64371i | 0.543369 | − | 0.627081i | ||||
\(191\) | −3.91887 | + | 27.2564i | −0.283560 | + | 1.97220i | −0.0560301 | + | 0.998429i | \(0.517844\pi\) |
−0.227529 | + | 0.973771i | \(0.573065\pi\) | |||||||
\(192\) | −0.959493 | + | 0.281733i | −0.0692454 | + | 0.0203323i | ||||
\(193\) | −14.7788 | − | 9.49778i | −1.06380 | − | 0.683665i | −0.113043 | − | 0.993590i | \(-0.536060\pi\) |
−0.950761 | + | 0.309925i | \(0.899696\pi\) | |||||||
\(194\) | −0.204400 | − | 1.42164i | −0.0146751 | − | 0.102067i | ||||
\(195\) | 0.0536264 | + | 0.117425i | 0.00384027 | + | 0.00840901i | ||||
\(196\) | 0.415415 | + | 0.909632i | 0.0296725 | + | 0.0649737i | ||||
\(197\) | −0.938563 | − | 6.52785i | −0.0668699 | − | 0.465090i | −0.995552 | − | 0.0942135i | \(-0.969966\pi\) |
0.928682 | − | 0.370877i | \(-0.120943\pi\) | |||||||
\(198\) | 3.53761 | + | 2.27348i | 0.251407 | + | 0.161569i | ||||
\(199\) | 13.3206 | − | 3.91129i | 0.944274 | − | 0.277264i | 0.226873 | − | 0.973924i | \(-0.427150\pi\) |
0.717401 | + | 0.696660i | \(0.245332\pi\) | |||||||
\(200\) | 0.494921 | − | 3.44225i | 0.0349962 | − | 0.243404i | ||||
\(201\) | 5.86631 | − | 6.77009i | 0.413778 | − | 0.477525i | ||||
\(202\) | 10.1668 | − | 6.53379i | 0.715331 | − | 0.459716i | ||||
\(203\) | 6.05081 | + | 6.98300i | 0.424683 | + | 0.490111i | ||||
\(204\) | 4.89720 | + | 1.43795i | 0.342873 | + | 0.100676i | ||||
\(205\) | 0.607580 | − | 1.33041i | 0.0424352 | − | 0.0929201i | ||||
\(206\) | 13.6745 | 0.952750 | ||||||||
\(207\) | −3.99511 | + | 2.65313i | −0.277679 | + | 0.184405i | ||||
\(208\) | −0.0443362 | −0.00307416 | ||||||||
\(209\) | 6.86199 | − | 15.0257i | 0.474654 | − | 1.03935i | ||||
\(210\) | 2.79370 | + | 0.820304i | 0.192783 | + | 0.0566063i | ||||
\(211\) | 6.73509 | + | 7.77271i | 0.463663 | + | 0.535096i | 0.938638 | − | 0.344904i | \(-0.112088\pi\) |
−0.474975 | + | 0.879999i | \(0.657543\pi\) | |||||||
\(212\) | 6.85346 | − | 4.40445i | 0.470698 | − | 0.302499i | ||||
\(213\) | 0.0879045 | − | 0.101447i | 0.00602311 | − | 0.00695104i | ||||
\(214\) | −2.70208 | + | 18.7934i | −0.184710 | + | 1.28469i | ||||
\(215\) | −26.2309 | + | 7.70207i | −1.78893 | + | 0.525277i | ||||
\(216\) | −0.841254 | − | 0.540641i | −0.0572401 | − | 0.0367859i | ||||
\(217\) | −1.30389 | − | 9.06878i | −0.0885140 | − | 0.615629i | ||||
\(218\) | −3.27604 | − | 7.17353i | −0.221881 | − | 0.485853i | ||||
\(219\) | −4.12232 | − | 9.02661i | −0.278560 | − | 0.609962i | ||||
\(220\) | −1.74249 | − | 12.1193i | −0.117479 | − | 0.817083i | ||||
\(221\) | 0.190367 | + | 0.122341i | 0.0128055 | + | 0.00822958i | ||||
\(222\) | −3.76506 | + | 1.10552i | −0.252694 | + | 0.0741978i | ||||
\(223\) | 0.933158 | − | 6.49026i | 0.0624889 | − | 0.434620i | −0.934428 | − | 0.356153i | \(-0.884088\pi\) |
0.996917 | − | 0.0784672i | \(-0.0250026\pi\) | |||||||
\(224\) | −0.654861 | + | 0.755750i | −0.0437547 | + | 0.0504956i | ||||
\(225\) | 2.92558 | − | 1.88016i | 0.195039 | − | 0.125344i | ||||
\(226\) | 5.67465 | + | 6.54889i | 0.377472 | + | 0.435626i | ||||
\(227\) | 10.9737 | + | 3.22217i | 0.728350 | + | 0.213863i | 0.624826 | − | 0.780764i | \(-0.285170\pi\) |
0.103524 | + | 0.994627i | \(0.466988\pi\) | |||||||
\(228\) | −1.63180 | + | 3.57314i | −0.108069 | + | 0.236637i | ||||
\(229\) | −15.8945 | −1.05034 | −0.525169 | − | 0.850998i | \(-0.675998\pi\) | ||||
−0.525169 | + | 0.850998i | \(0.675998\pi\) | |||||||
\(230\) | 13.4557 | + | 3.73235i | 0.887241 | + | 0.246104i | ||||
\(231\) | 4.20516 | 0.276679 | ||||||||
\(232\) | −3.83837 | + | 8.40485i | −0.252001 | + | 0.551806i | ||||
\(233\) | 18.7325 | + | 5.50036i | 1.22721 | + | 0.360341i | 0.830195 | − | 0.557473i | \(-0.188229\pi\) |
0.397012 | + | 0.917813i | \(0.370047\pi\) | |||||||
\(234\) | −0.0290341 | − | 0.0335071i | −0.00189802 | − | 0.00219043i | ||||
\(235\) | 7.48889 | − | 4.81282i | 0.488521 | − | 0.313953i | ||||
\(236\) | 6.12422 | − | 7.06773i | 0.398653 | − | 0.460070i | ||||
\(237\) | 0.394108 | − | 2.74108i | 0.0256000 | − | 0.178052i | ||||
\(238\) | 4.89720 | − | 1.43795i | 0.317438 | − | 0.0932083i | ||||
\(239\) | 5.10091 | + | 3.27816i | 0.329950 | + | 0.212046i | 0.695118 | − | 0.718895i | \(-0.255352\pi\) |
−0.365168 | + | 0.930942i | \(0.618988\pi\) | |||||||
\(240\) | 0.414370 | + | 2.88200i | 0.0267474 | + | 0.186033i | ||||
\(241\) | 0.681875 | + | 1.49310i | 0.0439234 | + | 0.0961789i | 0.930322 | − | 0.366745i | \(-0.119528\pi\) |
−0.886398 | + | 0.462924i | \(0.846800\pi\) | |||||||
\(242\) | −2.77639 | − | 6.07944i | −0.178473 | − | 0.390801i | ||||
\(243\) | −0.142315 | − | 0.989821i | −0.00912950 | − | 0.0634971i | ||||
\(244\) | −3.94954 | − | 2.53822i | −0.252843 | − | 0.162493i | ||||
\(245\) | 2.79370 | − | 0.820304i | 0.178483 | − | 0.0524073i | ||||
\(246\) | −0.0714881 | + | 0.497210i | −0.00455791 | + | 0.0317010i | ||||
\(247\) | −0.114049 | + | 0.131620i | −0.00725678 | + | 0.00837477i | ||||
\(248\) | 7.70759 | − | 4.95337i | 0.489433 | − | 0.314539i | ||||
\(249\) | −10.0697 | − | 11.6211i | −0.638144 | − | 0.736457i | ||||
\(250\) | 4.25300 | + | 1.24879i | 0.268983 | + | 0.0789806i | ||||
\(251\) | −7.86507 | + | 17.2221i | −0.496439 | + | 1.08705i | 0.481171 | + | 0.876626i | \(0.340211\pi\) |
−0.977610 | + | 0.210423i | \(0.932516\pi\) | |||||||
\(252\) | −1.00000 | −0.0629941 | ||||||||
\(253\) | 20.1650 | − | 0.302920i | 1.26776 | − | 0.0190444i | ||||
\(254\) | 1.18913 | 0.0746129 | ||||||||
\(255\) | 6.17342 | − | 13.5179i | 0.386595 | − | 0.846524i | ||||
\(256\) | −0.959493 | − | 0.281733i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | −14.3837 | − | 16.5997i | −0.897233 | − | 1.03546i | −0.999173 | − | 0.0406716i | \(-0.987050\pi\) |
0.101939 | − | 0.994791i | \(-0.467495\pi\) | |||||||
\(258\) | 7.89878 | − | 5.07624i | 0.491756 | − | 0.316033i | ||||
\(259\) | −2.56968 | + | 2.96557i | −0.159672 | + | 0.184272i | ||||
\(260\) | −0.0183716 | + | 0.127777i | −0.00113936 | + | 0.00792440i | ||||
\(261\) | −8.86556 | + | 2.60316i | −0.548764 | + | 0.161132i | ||||
\(262\) | −4.40783 | − | 2.83274i | −0.272317 | − | 0.175007i | ||||
\(263\) | −3.42124 | − | 23.7953i | −0.210963 | − | 1.46728i | −0.769951 | − | 0.638103i | \(-0.779719\pi\) |
0.558988 | − | 0.829176i | \(-0.311190\pi\) | |||||||
\(264\) | 1.74689 | + | 3.82515i | 0.107514 | + | 0.235422i | ||||
\(265\) | −9.85378 | − | 21.5768i | −0.605313 | − | 1.32545i | ||||
\(266\) | 0.559030 | + | 3.88814i | 0.0342763 | + | 0.238397i | ||||
\(267\) | −15.8075 | − | 10.1589i | −0.967402 | − | 0.621712i | ||||
\(268\) | 8.59524 | − | 2.52379i | 0.525038 | − | 0.154165i | ||||
\(269\) | 4.52867 | − | 31.4976i | 0.276118 | − | 1.92044i | −0.102192 | − | 0.994765i | \(-0.532586\pi\) |
0.378310 | − | 0.925679i | \(-0.376505\pi\) | |||||||
\(270\) | −1.90672 | + | 2.20047i | −0.116039 | + | 0.133916i | ||||
\(271\) | 5.85790 | − | 3.76465i | 0.355842 | − | 0.228686i | −0.350490 | − | 0.936567i | \(-0.613985\pi\) |
0.706332 | + | 0.707881i | \(0.250349\pi\) | |||||||
\(272\) | 3.34237 | + | 3.85731i | 0.202661 | + | 0.233883i | ||||
\(273\) | −0.0425403 | − | 0.0124910i | −0.00257466 | − | 0.000755987i | ||||
\(274\) | 4.56919 | − | 10.0051i | 0.276035 | − | 0.604432i | ||||
\(275\) | −14.6241 | −0.881865 | ||||||||
\(276\) | −4.79529 | + | 0.0720352i | −0.288643 | + | 0.00433601i | ||||
\(277\) | −22.7673 | −1.36796 | −0.683978 | − | 0.729503i | \(-0.739751\pi\) | ||||
−0.683978 | + | 0.729503i | \(0.739751\pi\) | |||||||
\(278\) | −1.47897 | + | 3.23850i | −0.0887030 | + | 0.194232i | ||||
\(279\) | 8.79091 | + | 2.58124i | 0.526298 | + | 0.154535i | ||||
\(280\) | 1.90672 | + | 2.20047i | 0.113948 | + | 0.131503i | ||||
\(281\) | −7.19665 | + | 4.62501i | −0.429316 | + | 0.275905i | −0.737402 | − | 0.675454i | \(-0.763948\pi\) |
0.308086 | + | 0.951358i | \(0.400311\pi\) | |||||||
\(282\) | −2.00217 | + | 2.31063i | −0.119228 | + | 0.137596i | ||||
\(283\) | −3.55333 | + | 24.7140i | −0.211224 | + | 1.46909i | 0.557855 | + | 0.829939i | \(0.311625\pi\) |
−0.769078 | + | 0.639154i | \(0.779284\pi\) | |||||||
\(284\) | 0.128796 | − | 0.0378180i | 0.00764266 | − | 0.00224409i | ||||
\(285\) | 9.62164 | + | 6.18346i | 0.569937 | + | 0.366276i | ||||
\(286\) | 0.0265333 | + | 0.184543i | 0.00156895 | + | 0.0109123i | ||||
\(287\) | 0.208673 | + | 0.456929i | 0.0123176 | + | 0.0269717i | ||||
\(288\) | −0.415415 | − | 0.909632i | −0.0244786 | − | 0.0536006i | ||||
\(289\) | −1.28799 | − | 8.95815i | −0.0757640 | − | 0.526950i | ||||
\(290\) | 22.6323 | + | 14.5449i | 1.32901 | + | 0.854106i | ||||
\(291\) | 1.37808 | − | 0.404640i | 0.0807843 | − | 0.0237204i | ||||
\(292\) | 1.41224 | − | 9.82236i | 0.0826452 | − | 0.574810i | ||||
\(293\) | 2.47724 | − | 2.85889i | 0.144722 | − | 0.167018i | −0.678761 | − | 0.734360i | \(-0.737483\pi\) |
0.823483 | + | 0.567342i | \(0.192028\pi\) | |||||||
\(294\) | −0.841254 | + | 0.540641i | −0.0490629 | + | 0.0315308i | ||||
\(295\) | −17.8315 | − | 20.5787i | −1.03819 | − | 1.19814i | ||||
\(296\) | −3.76506 | − | 1.10552i | −0.218840 | − | 0.0642572i | ||||
\(297\) | −1.74689 | + | 3.82515i | −0.101365 | + | 0.221958i | ||||
\(298\) | −4.34776 | −0.251859 | ||||||||
\(299\) | −0.204893 | − | 0.0568334i | −0.0118493 | − | 0.00328676i | ||||
\(300\) | 3.47765 | 0.200782 | ||||||||
\(301\) | 3.90045 | − | 8.54080i | 0.224818 | − | 0.492284i | ||||
\(302\) | −8.15524 | − | 2.39459i | −0.469281 | − | 0.137793i | ||||
\(303\) | 7.91416 | + | 9.13343i | 0.454657 | + | 0.524702i | ||||
\(304\) | −3.30454 | + | 2.12370i | −0.189529 | + | 0.121803i | ||||
\(305\) | −8.95171 | + | 10.3308i | −0.512574 | + | 0.591542i | ||||
\(306\) | −0.726367 | + | 5.05200i | −0.0415237 | + | 0.288803i | ||||
\(307\) | −7.11799 | + | 2.09003i | −0.406245 | + | 0.119284i | −0.478470 | − | 0.878104i | \(-0.658808\pi\) |
0.0722246 | + | 0.997388i | \(0.476990\pi\) | |||||||
\(308\) | 3.53761 | + | 2.27348i | 0.201574 | + | 0.129544i | ||||
\(309\) | 1.94609 | + | 13.5353i | 0.110709 | + | 0.769999i | ||||
\(310\) | −11.0818 | − | 24.2658i | −0.629406 | − | 1.37821i | ||||
\(311\) | 10.7558 | + | 23.5520i | 0.609908 | + | 1.33551i | 0.922637 | + | 0.385669i | \(0.126029\pi\) |
−0.312729 | + | 0.949842i | \(0.601243\pi\) | |||||||
\(312\) | −0.00630970 | − | 0.0438849i | −0.000357217 | − | 0.00248450i | ||||
\(313\) | 24.3338 | + | 15.6384i | 1.37543 | + | 0.883933i | 0.999094 | − | 0.0425516i | \(-0.0135487\pi\) |
0.376332 | + | 0.926485i | \(0.377185\pi\) | |||||||
\(314\) | −9.55932 | + | 2.80687i | −0.539464 | + | 0.158401i | ||||
\(315\) | −0.414370 | + | 2.88200i | −0.0233471 | + | 0.162382i | ||||
\(316\) | 1.81348 | − | 2.09287i | 0.102016 | − | 0.117733i | ||||
\(317\) | 16.9075 | − | 10.8658i | 0.949618 | − | 0.610282i | 0.0285113 | − | 0.999593i | \(-0.490923\pi\) |
0.921106 | + | 0.389311i | \(0.127287\pi\) | |||||||
\(318\) | 5.33497 | + | 6.15688i | 0.299170 | + | 0.345261i | ||||
\(319\) | 37.2811 | + | 10.9467i | 2.08734 | + | 0.612899i | ||||
\(320\) | −1.20954 | + | 2.64852i | −0.0676153 | + | 0.148057i | ||||
\(321\) | −18.9866 | −1.05973 | ||||||||
\(322\) | −3.99511 | + | 2.65313i | −0.222639 | + | 0.147853i | ||||
\(323\) | 20.0489 | 1.11555 | ||||||||
\(324\) | 0.415415 | − | 0.909632i | 0.0230786 | − | 0.0505351i | ||||
\(325\) | 0.147940 | + | 0.0434391i | 0.00820624 | + | 0.00240957i | ||||
\(326\) | 6.29985 | + | 7.27042i | 0.348917 | + | 0.402671i | ||||
\(327\) | 6.63428 | − | 4.26359i | 0.366877 | − | 0.235777i | ||||
\(328\) | −0.328952 | + | 0.379631i | −0.0181633 | + | 0.0209616i | ||||
\(329\) | −0.435114 | + | 3.02628i | −0.0239886 | + | 0.166844i | ||||
\(330\) | 11.7480 | − | 3.44951i | 0.646704 | − | 0.189889i | ||||
\(331\) | 11.0015 | + | 7.07021i | 0.604695 | + | 0.388614i | 0.806864 | − | 0.590737i | \(-0.201163\pi\) |
−0.202169 | + | 0.979351i | \(0.564799\pi\) | |||||||
\(332\) | −2.18836 | − | 15.2204i | −0.120102 | − | 0.835328i | ||||
\(333\) | −1.63009 | − | 3.56941i | −0.0893286 | − | 0.195602i | ||||
\(334\) | 1.00375 | + | 2.19790i | 0.0549227 | + | 0.120264i | ||||
\(335\) | −3.71197 | − | 25.8173i | −0.202806 | − | 1.41055i | ||||
\(336\) | −0.841254 | − | 0.540641i | −0.0458941 | − | 0.0294944i | ||||
\(337\) | −3.00543 | + | 0.882474i | −0.163716 | + | 0.0480714i | −0.362564 | − | 0.931959i | \(-0.618098\pi\) |
0.198847 | + | 0.980030i | \(0.436280\pi\) | |||||||
\(338\) | −1.84981 | + | 12.8657i | −0.100617 | + | 0.699804i | ||||
\(339\) | −5.67465 | + | 6.54889i | −0.308204 | + | 0.355687i | ||||
\(340\) | 12.5017 | − | 8.03438i | 0.678002 | − | 0.435726i | ||||
\(341\) | −25.2304 | − | 29.1174i | −1.36630 | − | 1.57680i | ||||
\(342\) | −3.76900 | − | 1.10668i | −0.203804 | − | 0.0598424i | ||||
\(343\) | −0.415415 | + | 0.909632i | −0.0224303 | + | 0.0491155i | ||||
\(344\) | 9.38930 | 0.506237 | ||||||||
\(345\) | −1.77942 | + | 13.8499i | −0.0958006 | + | 0.745653i | ||||
\(346\) | 15.7257 | 0.845417 | ||||||||
\(347\) | −5.77222 | + | 12.6394i | −0.309869 | + | 0.678519i | −0.998933 | − | 0.0461819i | \(-0.985295\pi\) |
0.689064 | + | 0.724701i | \(0.258022\pi\) | |||||||
\(348\) | −8.86556 | − | 2.60316i | −0.475244 | − | 0.139544i | ||||
\(349\) | 14.5918 | + | 16.8398i | 0.781080 | + | 0.901414i | 0.997187 | − | 0.0749557i | \(-0.0238815\pi\) |
−0.216107 | + | 0.976370i | \(0.569336\pi\) | |||||||
\(350\) | 2.92558 | − | 1.88016i | 0.156379 | − | 0.100499i | ||||
\(351\) | 0.0290341 | − | 0.0335071i | 0.00154972 | − | 0.00178848i | ||||
\(352\) | −0.598457 | + | 4.16236i | −0.0318979 | + | 0.221855i | ||||
\(353\) | 1.00277 | − | 0.294441i | 0.0533723 | − | 0.0156715i | −0.254937 | − | 0.966958i | \(-0.582055\pi\) |
0.308310 | + | 0.951286i | \(0.400237\pi\) | |||||||
\(354\) | 7.86735 | + | 5.05604i | 0.418145 | + | 0.268726i | ||||
\(355\) | −0.0556224 | − | 0.386862i | −0.00295213 | − | 0.0205325i | ||||
\(356\) | −7.80581 | − | 17.0923i | −0.413707 | − | 0.905892i | ||||
\(357\) | 2.12026 | + | 4.64271i | 0.112216 | + | 0.245718i | ||||
\(358\) | −0.308869 | − | 2.14823i | −0.0163242 | − | 0.113537i | ||||
\(359\) | 30.9410 | + | 19.8846i | 1.63300 | + | 1.04947i | 0.946681 | + | 0.322171i | \(0.104413\pi\) |
0.686323 | + | 0.727297i | \(0.259224\pi\) | |||||||
\(360\) | −2.79370 | + | 0.820304i | −0.147241 | + | 0.0432338i | ||||
\(361\) | 0.508046 | − | 3.53354i | 0.0267393 | − | 0.185976i | ||||
\(362\) | −9.28757 | + | 10.7184i | −0.488144 | + | 0.563348i | ||||
\(363\) | 5.62244 | − | 3.61332i | 0.295101 | − | 0.189650i | ||||
\(364\) | −0.0290341 | − | 0.0335071i | −0.00152180 | − | 0.00175625i | ||||
\(365\) | −27.7229 | − | 8.14017i | −1.45108 | − | 0.426076i | ||||
\(366\) | 1.95030 | − | 4.27056i | 0.101944 | − | 0.223226i | ||||
\(367\) | −16.4949 | −0.861024 | −0.430512 | − | 0.902585i | \(-0.641667\pi\) | ||||
−0.430512 | + | 0.902585i | \(0.641667\pi\) | |||||||
\(368\) | −4.07300 | − | 2.53193i | −0.212320 | − | 0.131986i | ||||
\(369\) | −0.502323 | −0.0261499 | ||||||||
\(370\) | −4.74624 | + | 10.3928i | −0.246746 | + | 0.540297i | ||||
\(371\) | 7.81672 | + | 2.29520i | 0.405824 | + | 0.119161i | ||||
\(372\) | 5.99986 | + | 6.92420i | 0.311078 | + | 0.359003i | ||||
\(373\) | −13.2650 | + | 8.52491i | −0.686836 | + | 0.441403i | −0.836960 | − | 0.547264i | \(-0.815669\pi\) |
0.150124 | + | 0.988667i | \(0.452033\pi\) | |||||||
\(374\) | 14.0552 | − | 16.2206i | 0.726779 | − | 0.838747i | ||||
\(375\) | −0.630817 | + | 4.38743i | −0.0325753 | + | 0.226566i | ||||
\(376\) | −2.93356 | + | 0.861370i | −0.151287 | + | 0.0444218i | ||||
\(377\) | −0.344628 | − | 0.221479i | −0.0177492 | − | 0.0114067i | ||||
\(378\) | −0.142315 | − | 0.989821i | −0.00731989 | − | 0.0509109i | ||||
\(379\) | −5.33857 | − | 11.6898i | −0.274224 | − | 0.600467i | 0.721544 | − | 0.692369i | \(-0.243433\pi\) |
−0.995768 | + | 0.0919017i | \(0.970705\pi\) | |||||||
\(380\) | 4.75121 | + | 10.4037i | 0.243732 | + | 0.533699i | ||||
\(381\) | 0.169231 | + | 1.17703i | 0.00866999 | + | 0.0603011i | ||||
\(382\) | −23.1653 | − | 14.8874i | −1.18524 | − | 0.761707i | ||||
\(383\) | −30.1597 | + | 8.85570i | −1.54109 | + | 0.452505i | −0.938423 | − | 0.345487i | \(-0.887714\pi\) |
−0.602667 | + | 0.797992i | \(0.705895\pi\) | |||||||
\(384\) | 0.142315 | − | 0.989821i | 0.00726247 | − | 0.0505116i | ||||
\(385\) | 8.01806 | − | 9.25334i | 0.408638 | − | 0.471594i | ||||
\(386\) | 14.7788 | − | 9.49778i | 0.752223 | − | 0.483424i | ||||
\(387\) | 6.14868 | + | 7.09596i | 0.312555 | + | 0.360708i | ||||
\(388\) | 1.37808 | + | 0.404640i | 0.0699612 | + | 0.0205425i | ||||
\(389\) | −11.9736 | + | 26.2186i | −0.607087 | + | 1.32934i | 0.317462 | + | 0.948271i | \(0.397170\pi\) |
−0.924549 | + | 0.381064i | \(0.875558\pi\) | |||||||
\(390\) | −0.129091 | −0.00653678 | ||||||||
\(391\) | 10.5017 | + | 22.1104i | 0.531093 | + | 1.11817i | ||||
\(392\) | −1.00000 | −0.0505076 | ||||||||
\(393\) | 2.17661 | − | 4.76611i | 0.109795 | − | 0.240418i | ||||
\(394\) | 6.32784 | + | 1.85802i | 0.318792 | + | 0.0936057i | ||||
\(395\) | −5.28021 | − | 6.09369i | −0.265676 | − | 0.306607i | ||||
\(396\) | −3.53761 | + | 2.27348i | −0.177772 | + | 0.114247i | ||||
\(397\) | 0.417916 | − | 0.482301i | 0.0209746 | − | 0.0242060i | −0.745165 | − | 0.666880i | \(-0.767629\pi\) |
0.766140 | + | 0.642674i | \(0.222175\pi\) | |||||||
\(398\) | −1.97575 | + | 13.7417i | −0.0990356 | + | 0.688808i | ||||
\(399\) | −3.76900 | + | 1.10668i | −0.188686 | + | 0.0554033i | ||||
\(400\) | 2.92558 | + | 1.88016i | 0.146279 | + | 0.0940079i | ||||
\(401\) | −1.71364 | − | 11.9187i | −0.0855753 | − | 0.595190i | −0.986813 | − | 0.161864i | \(-0.948249\pi\) |
0.901238 | − | 0.433325i | \(-0.142660\pi\) | |||||||
\(402\) | 3.72133 | + | 8.14858i | 0.185603 | + | 0.406414i | ||||
\(403\) | 0.168746 | + | 0.369502i | 0.00840582 | + | 0.0184062i | ||||
\(404\) | 1.71991 | + | 11.9623i | 0.0855688 | + | 0.595144i | ||||
\(405\) | −2.44943 | − | 1.57415i | −0.121713 | − | 0.0782202i | ||||
\(406\) | −8.86556 | + | 2.60316i | −0.439990 | + | 0.129193i | ||||
\(407\) | −2.34835 | + | 16.3332i | −0.116404 | + | 0.809604i | ||||
\(408\) | −3.34237 | + | 3.85731i | −0.165472 | + | 0.190965i | ||||
\(409\) | −22.4762 | + | 14.4446i | −1.11138 | + | 0.714239i | −0.961593 | − | 0.274479i | \(-0.911494\pi\) |
−0.149785 | + | 0.988719i | \(0.547858\pi\) | |||||||
\(410\) | 0.957789 | + | 1.10535i | 0.0473018 | + | 0.0545892i | ||||
\(411\) | 10.5536 | + | 3.09880i | 0.520568 | + | 0.152853i | ||||
\(412\) | −5.68061 | + | 12.4388i | −0.279863 | + | 0.612815i | ||||
\(413\) | 9.35194 | 0.460179 | ||||||||
\(414\) | −0.753743 | − | 4.73623i | −0.0370444 | − | 0.232773i | ||||
\(415\) | −44.7720 | −2.19777 | ||||||||
\(416\) | 0.0184179 | − | 0.0403296i | 0.000903013 | − | 0.00197732i | ||||
\(417\) | −3.41602 | − | 1.00303i | −0.167283 | − | 0.0491188i | ||||
\(418\) | 10.8172 | + | 12.4838i | 0.529089 | + | 0.610601i | ||||
\(419\) | 19.5224 | − | 12.5463i | 0.953734 | − | 0.612928i | 0.0314767 | − | 0.999504i | \(-0.489979\pi\) |
0.922257 | + | 0.386577i | \(0.126343\pi\) | |||||||
\(420\) | −1.90672 | + | 2.20047i | −0.0930383 | + | 0.107372i | ||||
\(421\) | −4.25737 | + | 29.6106i | −0.207491 | + | 1.44313i | 0.573814 | + | 0.818986i | \(0.305463\pi\) |
−0.781305 | + | 0.624149i | \(0.785446\pi\) | |||||||
\(422\) | −9.86817 | + | 2.89755i | −0.480375 | + | 0.141051i | ||||
\(423\) | −2.57205 | − | 1.65296i | −0.125057 | − | 0.0803695i | ||||
\(424\) | 1.15940 | + | 8.06380i | 0.0563054 | + | 0.391613i | ||||
\(425\) | −7.37350 | − | 16.1457i | −0.357667 | − | 0.783182i | ||||
\(426\) | 0.0557627 | + | 0.122103i | 0.00270171 | + | 0.00591593i | ||||
\(427\) | −0.668144 | − | 4.64704i | −0.0323337 | − | 0.224886i | ||||
\(428\) | −15.9726 | − | 10.2649i | −0.772062 | − | 0.496174i | ||||
\(429\) | −0.178889 | + | 0.0525265i | −0.00863684 | + | 0.00253600i | ||||
\(430\) | 3.89064 | − | 27.0600i | 0.187623 | − | 1.30495i | ||||
\(431\) | −14.8337 | + | 17.1190i | −0.714515 | + | 0.824595i | −0.990636 | − | 0.136528i | \(-0.956406\pi\) |
0.276121 | + | 0.961123i | \(0.410951\pi\) | |||||||
\(432\) | 0.841254 | − | 0.540641i | 0.0404748 | − | 0.0260116i | ||||
\(433\) | 2.75761 | + | 3.18246i | 0.132522 | + | 0.152939i | 0.818132 | − | 0.575030i | \(-0.195010\pi\) |
−0.685610 | + | 0.727969i | \(0.740464\pi\) | |||||||
\(434\) | 8.79091 | + | 2.58124i | 0.421977 | + | 0.123904i | ||||
\(435\) | −11.1759 | + | 24.4719i | −0.535845 | + | 1.17334i | ||||
\(436\) | 7.88619 | 0.377680 | ||||||||
\(437\) | −17.9937 | + | 5.57835i | −0.860758 | + | 0.266849i | ||||
\(438\) | 9.92337 | 0.474157 | ||||||||
\(439\) | 2.83246 | − | 6.20222i | 0.135186 | − | 0.296016i | −0.829917 | − | 0.557887i | \(-0.811612\pi\) |
0.965103 | + | 0.261871i | \(0.0843395\pi\) | |||||||
\(440\) | 11.7480 | + | 3.44951i | 0.560062 | + | 0.164449i | ||||
\(441\) | −0.654861 | − | 0.755750i | −0.0311838 | − | 0.0359881i | ||||
\(442\) | −0.190367 | + | 0.122341i | −0.00905484 | + | 0.00581919i | ||||
\(443\) | −2.09035 | + | 2.41240i | −0.0993157 | + | 0.114616i | −0.803231 | − | 0.595667i | \(-0.796888\pi\) |
0.703916 | + | 0.710283i | \(0.251433\pi\) | |||||||
\(444\) | 0.558445 | − | 3.88407i | 0.0265026 | − | 0.184330i | ||||
\(445\) | −52.4947 | + | 15.4138i | −2.48849 | + | 0.730686i | ||||
\(446\) | 5.51610 | + | 3.54498i | 0.261195 | + | 0.167860i | ||||
\(447\) | −0.618751 | − | 4.30351i | −0.0292659 | − | 0.203549i | ||||
\(448\) | −0.415415 | − | 0.909632i | −0.0196265 | − | 0.0429761i | ||||
\(449\) | −0.503538 | − | 1.10260i | −0.0237634 | − | 0.0520347i | 0.897378 | − | 0.441262i | \(-0.145469\pi\) |
−0.921142 | + | 0.389228i | \(0.872742\pi\) | |||||||
\(450\) | 0.494921 | + | 3.44225i | 0.0233308 | + | 0.162269i | ||||
\(451\) | 1.77702 | + | 1.14202i | 0.0836768 | + | 0.0537758i | ||||
\(452\) | −8.31441 | + | 2.44133i | −0.391077 | + | 0.114831i | ||||
\(453\) | 1.20961 | − | 8.41302i | 0.0568324 | − | 0.395278i | ||||
\(454\) | −7.48963 | + | 8.64350i | −0.351506 | + | 0.405659i | ||||
\(455\) | −0.108598 | + | 0.0697919i | −0.00509117 | + | 0.00327190i | ||||
\(456\) | −2.57237 | − | 2.96868i | −0.120462 | − | 0.139021i | ||||
\(457\) | −33.6462 | − | 9.87941i | −1.57390 | − | 0.462139i | −0.625767 | − | 0.780010i | \(-0.715214\pi\) |
−0.948134 | + | 0.317871i | \(0.897032\pi\) | |||||||
\(458\) | 6.60281 | − | 14.4581i | 0.308529 | − | 0.675584i | ||||
\(459\) | −5.10395 | −0.238232 | ||||||||
\(460\) | −8.98476 | + | 10.6892i | −0.418916 | + | 0.498389i | ||||
\(461\) | −0.126114 | −0.00587372 | −0.00293686 | − | 0.999996i | \(-0.500935\pi\) | ||||
−0.00293686 | + | 0.999996i | \(0.500935\pi\) | |||||||
\(462\) | −1.74689 | + | 3.82515i | −0.0812726 | + | 0.177962i | ||||
\(463\) | 3.47683 | + | 1.02089i | 0.161582 | + | 0.0474447i | 0.361523 | − | 0.932363i | \(-0.382257\pi\) |
−0.199941 | + | 0.979808i | \(0.564075\pi\) | |||||||
\(464\) | −6.05081 | − | 6.98300i | −0.280902 | − | 0.324178i | ||||
\(465\) | 22.4417 | − | 14.4224i | 1.04071 | − | 0.668824i | ||||
\(466\) | −12.7851 | + | 14.7548i | −0.592257 | + | 0.683501i | ||||
\(467\) | 2.45588 | − | 17.0810i | 0.113645 | − | 0.790415i | −0.850678 | − | 0.525686i | \(-0.823809\pi\) |
0.964323 | − | 0.264729i | \(-0.0852824\pi\) | |||||||
\(468\) | 0.0425403 | − | 0.0124910i | 0.00196643 | − | 0.000577395i | ||||
\(469\) | 7.53604 | + | 4.84312i | 0.347982 | + | 0.223634i | ||||
\(470\) | 1.26689 | + | 8.81145i | 0.0584375 | + | 0.406442i | ||||
\(471\) | −4.13873 | − | 9.06256i | −0.190703 | − | 0.417581i | ||||
\(472\) | 3.88494 | + | 8.50683i | 0.178819 | + | 0.391558i | ||||
\(473\) | −5.61909 | − | 39.0816i | −0.258366 | − | 1.79698i | ||||
\(474\) | 2.32965 | + | 1.49718i | 0.107005 | + | 0.0687677i | ||||
\(475\) | 13.1073 | − | 3.84864i | 0.601402 | − | 0.176588i | ||||
\(476\) | −0.726367 | + | 5.05200i | −0.0332930 | + | 0.231558i | ||||
\(477\) | −5.33497 | + | 6.15688i | −0.244271 | + | 0.281904i | ||||
\(478\) | −5.10091 | + | 3.27816i | −0.233310 | + | 0.149939i | ||||
\(479\) | 18.4641 | + | 21.3087i | 0.843646 | + | 0.973620i | 0.999901 | − | 0.0140970i | \(-0.00448736\pi\) |
−0.156254 | + | 0.987717i | \(0.549942\pi\) | |||||||
\(480\) | −2.79370 | − | 0.820304i | −0.127514 | − | 0.0374416i | ||||
\(481\) | 0.0722722 | − | 0.158254i | 0.00329533 | − | 0.00721576i | ||||
\(482\) | −1.64143 | −0.0747651 | ||||||||
\(483\) | −3.19469 | − | 3.57687i | −0.145363 | − | 0.162753i | ||||
\(484\) | 6.68340 | 0.303791 | ||||||||
\(485\) | 1.73721 | − | 3.80395i | 0.0788824 | − | 0.172728i | ||||
\(486\) | 0.959493 | + | 0.281733i | 0.0435235 | + | 0.0127796i | ||||
\(487\) | 3.91039 | + | 4.51283i | 0.177196 | + | 0.204496i | 0.837399 | − | 0.546592i | \(-0.184075\pi\) |
−0.660203 | + | 0.751088i | \(0.729530\pi\) | |||||||
\(488\) | 3.94954 | − | 2.53822i | 0.178787 | − | 0.114900i | ||||
\(489\) | −6.29985 | + | 7.27042i | −0.284889 | + | 0.328780i | ||||
\(490\) | −0.414370 | + | 2.88200i | −0.0187193 | + | 0.130196i | ||||
\(491\) | −30.4130 | + | 8.93007i | −1.37252 | + | 0.403008i | −0.883159 | − | 0.469073i | \(-0.844588\pi\) |
−0.489361 | + | 0.872081i | \(0.662770\pi\) | |||||||
\(492\) | −0.422581 | − | 0.271576i | −0.0190514 | − | 0.0122436i | ||||
\(493\) | 6.71152 | + | 46.6796i | 0.302271 | + | 2.10234i | ||||
\(494\) | −0.0723479 | − | 0.158420i | −0.00325508 | − | 0.00712764i | ||||
\(495\) | 5.08631 | + | 11.1375i | 0.228613 | + | 0.500592i | ||||
\(496\) | 1.30389 | + | 9.06878i | 0.0585465 | + | 0.407200i | ||||
\(497\) | 0.112925 | + | 0.0725723i | 0.00506536 | + | 0.00325531i | ||||
\(498\) | 14.7540 | − | 4.33218i | 0.661144 | − | 0.194129i | ||||
\(499\) | −1.28727 | + | 8.95313i | −0.0576260 | + | 0.400797i | 0.940510 | + | 0.339766i | \(0.110348\pi\) |
−0.998136 | + | 0.0610311i | \(0.980561\pi\) | |||||||
\(500\) | −2.90270 | + | 3.34990i | −0.129813 | + | 0.149812i | ||||
\(501\) | −2.03268 | + | 1.30633i | −0.0908135 | + | 0.0583623i | ||||
\(502\) | −12.3985 | − | 14.3086i | −0.553373 | − | 0.638626i | ||||
\(503\) | 5.38817 | + | 1.58211i | 0.240246 | + | 0.0705427i | 0.399639 | − | 0.916673i | \(-0.369135\pi\) |
−0.159393 | + | 0.987215i | \(0.550954\pi\) | |||||||
\(504\) | 0.415415 | − | 0.909632i | 0.0185041 | − | 0.0405182i | ||||
\(505\) | 35.1879 | 1.56584 | ||||||||
\(506\) | −8.10129 | + | 18.4685i | −0.360146 | + | 0.821027i | ||||
\(507\) | −12.9980 | −0.577263 | ||||||||
\(508\) | −0.493984 | + | 1.08167i | −0.0219170 | + | 0.0479915i | ||||
\(509\) | −4.38972 | − | 1.28894i | −0.194571 | − | 0.0571312i | 0.182995 | − | 0.983114i | \(-0.441421\pi\) |
−0.377566 | + | 0.925983i | \(0.623239\pi\) | |||||||
\(510\) | 9.73179 | + | 11.2311i | 0.430931 | + | 0.497321i | ||||
\(511\) | 8.34807 | − | 5.36498i | 0.369297 | − | 0.237333i | ||||
\(512\) | 0.654861 | − | 0.755750i | 0.0289410 | − | 0.0333997i | ||||
\(513\) | 0.559030 | − | 3.88814i | 0.0246818 | − | 0.171665i | ||||
\(514\) | 21.0749 | − | 6.18814i | 0.929572 | − | 0.272947i | ||||
\(515\) | 33.4948 | + | 21.5258i | 1.47596 | + | 0.948539i | ||||
\(516\) | 1.33624 | + | 9.29373i | 0.0588245 | + | 0.409133i | ||||
\(517\) | 5.34094 | + | 11.6950i | 0.234894 | + | 0.514347i | ||||
\(518\) | −1.63009 | − | 3.56941i | −0.0716222 | − | 0.156831i | ||||
\(519\) | 2.23799 | + | 15.5656i | 0.0982370 | + | 0.683254i | ||||
\(520\) | −0.108598 | − | 0.0697919i | −0.00476235 | − | 0.00306058i | ||||
\(521\) | 13.1653 | − | 3.86568i | 0.576782 | − | 0.169358i | 0.0196853 | − | 0.999806i | \(-0.493734\pi\) |
0.557096 | + | 0.830448i | \(0.311915\pi\) | |||||||
\(522\) | 1.31497 | − | 9.14579i | 0.0575545 | − | 0.400300i | ||||
\(523\) | −8.99475 | + | 10.3805i | −0.393313 | + | 0.453907i | −0.917524 | − | 0.397681i | \(-0.869815\pi\) |
0.524211 | + | 0.851589i | \(0.324360\pi\) | |||||||
\(524\) | 4.40783 | − | 2.83274i | 0.192557 | − | 0.123749i | ||||
\(525\) | 2.27737 | + | 2.62823i | 0.0993927 | + | 0.114705i | ||||
\(526\) | 23.0662 | + | 6.77284i | 1.00573 | + | 0.295310i | ||||
\(527\) | 19.4259 | − | 42.5367i | 0.846204 | − | 1.85293i | ||||
\(528\) | −4.20516 | −0.183006 | ||||||||
\(529\) | −15.5771 | − | 16.9220i | −0.677266 | − | 0.735738i | ||||
\(530\) | 23.7203 | 1.03034 | ||||||||
\(531\) | −3.88494 | + | 8.50683i | −0.168592 | + | 0.369165i | ||||
\(532\) | −3.76900 | − | 1.10668i | −0.163407 | − | 0.0479806i | ||||
\(533\) | −0.0145845 | − | 0.0168314i | −0.000631724 | − | 0.000729048i | ||||
\(534\) | 15.8075 | − | 10.1589i | 0.684057 | − | 0.439617i | ||||
\(535\) | −36.2021 | + | 41.7795i | −1.56515 | + | 1.80628i | ||||
\(536\) | −1.27487 | + | 8.86693i | −0.0550661 | + | 0.382993i | ||||
\(537\) | 2.08241 | − | 0.611450i | 0.0898625 | − | 0.0263860i | ||||
\(538\) | 26.7700 | + | 17.2040i | 1.15414 | + | 0.741718i | ||||
\(539\) | 0.598457 | + | 4.16236i | 0.0257774 | + | 0.179286i | ||||
\(540\) | −1.20954 | − | 2.64852i | −0.0520503 | − | 0.113974i | ||||
\(541\) | −10.5380 | − | 23.0750i | −0.453064 | − | 0.992071i | −0.989014 | − | 0.147821i | \(-0.952774\pi\) |
0.535951 | − | 0.844249i | \(-0.319953\pi\) | |||||||
\(542\) | 0.990982 | + | 6.89243i | 0.0425663 | + | 0.296055i | ||||
\(543\) | −11.9311 | − | 7.66764i | −0.512012 | − | 0.329050i | ||||
\(544\) | −4.89720 | + | 1.43795i | −0.209966 | + | 0.0616515i | ||||
\(545\) | 3.26780 | − | 22.7280i | 0.139977 | − | 0.973561i | ||||
\(546\) | 0.0290341 | − | 0.0335071i | 0.00124254 | − | 0.00143397i | ||||
\(547\) | −17.7789 | + | 11.4258i | −0.760172 | + | 0.488533i | −0.862399 | − | 0.506228i | \(-0.831039\pi\) |
0.102228 | + | 0.994761i | \(0.467403\pi\) | |||||||
\(548\) | 7.20288 | + | 8.31256i | 0.307692 | + | 0.355095i | ||||
\(549\) | 4.50465 | + | 1.32269i | 0.192254 | + | 0.0564508i | ||||
\(550\) | 6.07506 | − | 13.3025i | 0.259041 | − | 0.567221i | ||||
\(551\) | −36.2952 | −1.54623 | ||||||||
\(552\) | 1.92651 | − | 4.39187i | 0.0819977 | − | 0.186931i | ||||
\(553\) | 2.76927 | 0.117761 | ||||||||
\(554\) | 9.45789 | − | 20.7099i | 0.401827 | − | 0.879878i | ||||
\(555\) | −10.9625 | − | 3.21888i | −0.465332 | − | 0.136634i | ||||
\(556\) | −2.33146 | − | 2.69064i | −0.0988758 | − | 0.114109i | ||||
\(557\) | −14.6625 | + | 9.42303i | −0.621271 | + | 0.399267i | −0.813069 | − | 0.582168i | \(-0.802205\pi\) |
0.191798 | + | 0.981434i | \(0.438568\pi\) | |||||||
\(558\) | −5.99986 | + | 6.92420i | −0.253994 | + | 0.293125i | ||||
\(559\) | −0.0592437 | + | 0.412049i | −0.00250574 | + | 0.0174278i | ||||
\(560\) | −2.79370 | + | 0.820304i | −0.118055 | + | 0.0346642i | ||||
\(561\) | 18.0558 | + | 11.6037i | 0.762315 | + | 0.489910i | ||||
\(562\) | −1.21746 | − | 8.46760i | −0.0513553 | − | 0.357184i | ||||
\(563\) | −3.49132 | − | 7.64492i | −0.147141 | − | 0.322195i | 0.821682 | − | 0.569946i | \(-0.193036\pi\) |
−0.968824 | + | 0.247751i | \(0.920309\pi\) | |||||||
\(564\) | −1.27009 | − | 2.78111i | −0.0534805 | − | 0.117106i | ||||
\(565\) | 3.59069 | + | 24.9738i | 0.151061 | + | 1.05065i | ||||
\(566\) | −21.0045 | − | 13.4988i | −0.882885 | − | 0.567396i | ||||
\(567\) | 0.959493 | − | 0.281733i | 0.0402949 | − | 0.0118317i | ||||
\(568\) | −0.0191035 | + | 0.132868i | −0.000801564 | + | 0.00557500i | ||||
\(569\) | 21.1884 | − | 24.4527i | 0.888264 | − | 1.02511i | −0.111245 | − | 0.993793i | \(-0.535484\pi\) |
0.999509 | − | 0.0313186i | \(-0.00997066\pi\) | |||||||
\(570\) | −9.62164 | + | 6.18346i | −0.403006 | + | 0.258996i | ||||
\(571\) | −6.23664 | − | 7.19747i | −0.260995 | − | 0.301205i | 0.610094 | − | 0.792329i | \(-0.291132\pi\) |
−0.871090 | + | 0.491124i | \(0.836586\pi\) | |||||||
\(572\) | −0.178889 | − | 0.0525265i | −0.00747972 | − | 0.00219624i | ||||
\(573\) | 11.4391 | − | 25.0482i | 0.477877 | − | 1.04640i | ||||
\(574\) | −0.502323 | −0.0209666 | ||||||||
\(575\) | 11.1100 | + | 12.4391i | 0.463319 | + | 0.518745i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −4.19296 | + | 9.18130i | −0.174555 | + | 0.382222i | −0.976607 | − | 0.215032i | \(-0.931014\pi\) |
0.802052 | + | 0.597254i | \(0.203742\pi\) | |||||||
\(578\) | 8.68367 | + | 2.54976i | 0.361193 | + | 0.106056i | ||||
\(579\) | 11.5044 | + | 13.2767i | 0.478105 | + | 0.551762i | ||||
\(580\) | −22.6323 | + | 14.5449i | −0.939755 | + | 0.603944i | ||||
\(581\) | 10.0697 | − | 11.6211i | 0.417763 | − | 0.482124i | ||||
\(582\) | −0.204400 | + | 1.42164i | −0.00847267 | + | 0.0589287i | ||||
\(583\) | 32.8706 | − | 9.65168i | 1.36136 | − | 0.399732i | ||||
\(584\) | 8.34807 | + | 5.36498i | 0.345445 | + | 0.222004i | ||||
\(585\) | −0.0183716 | − | 0.127777i | −0.000759571 | − | 0.00528293i | ||||
\(586\) | 1.57145 | + | 3.44100i | 0.0649162 | + | 0.142147i | ||||
\(587\) | −19.7127 | − | 43.1648i | −0.813629 | − | 1.78160i | −0.590950 | − | 0.806708i | \(-0.701247\pi\) |
−0.222680 | − | 0.974892i | \(-0.571480\pi\) | |||||||
\(588\) | −0.142315 | − | 0.989821i | −0.00586897 | − | 0.0408195i | ||||
\(589\) | 30.2764 | + | 19.4574i | 1.24752 | + | 0.801729i | ||||
\(590\) | 26.1265 | − | 7.67143i | 1.07561 | − | 0.315828i | ||||
\(591\) | −0.938563 | + | 6.52785i | −0.0386073 | + | 0.268520i | ||||
\(592\) | 2.56968 | − | 2.96557i | 0.105613 | − | 0.121884i | ||||
\(593\) | 17.8202 | − | 11.4524i | 0.731790 | − | 0.470293i | −0.120930 | − | 0.992661i | \(-0.538588\pi\) |
0.852720 | + | 0.522368i | \(0.174951\pi\) | |||||||
\(594\) | −2.75380 | − | 3.17805i | −0.112990 | − | 0.130397i | ||||
\(595\) | 14.2589 | + | 4.18679i | 0.584557 | + | 0.171641i | ||||
\(596\) | 1.80612 | − | 3.95486i | 0.0739818 | − | 0.161997i | ||||
\(597\) | −13.8830 | −0.568193 | ||||||||
\(598\) | 0.136813 | − | 0.162768i | 0.00559470 | − | 0.00665606i | ||||
\(599\) | 28.3940 | 1.16015 | 0.580074 | − | 0.814564i | \(-0.303024\pi\) | ||||
0.580074 | + | 0.814564i | \(0.303024\pi\) | |||||||
\(600\) | −1.44467 | + | 3.16338i | −0.0589783 | + | 0.129144i | ||||
\(601\) | 20.3788 | + | 5.98376i | 0.831269 | + | 0.244083i | 0.669562 | − | 0.742756i | \(-0.266482\pi\) |
0.161707 | + | 0.986839i | \(0.448300\pi\) | |||||||
\(602\) | 6.14868 | + | 7.09596i | 0.250602 | + | 0.289210i | ||||
\(603\) | −7.53604 | + | 4.84312i | −0.306891 | + | 0.197227i | ||||
\(604\) | 5.56601 | − | 6.42352i | 0.226478 | − | 0.261369i | ||||
\(605\) | 2.76940 | − | 19.2616i | 0.112592 | − | 0.783095i | ||||
\(606\) | −11.5957 | + | 3.40481i | −0.471044 | + | 0.138311i | ||||
\(607\) | 39.3578 | + | 25.2937i | 1.59748 | + | 1.02664i | 0.968433 | + | 0.249275i | \(0.0801923\pi\) |
0.629050 | + | 0.777365i | \(0.283444\pi\) | |||||||
\(608\) | −0.559030 | − | 3.88814i | −0.0226717 | − | 0.157685i | ||||
\(609\) | −3.83837 | − | 8.40485i | −0.155538 | − | 0.340582i | ||||
\(610\) | −5.67858 | − | 12.4343i | −0.229919 | − | 0.503452i | ||||
\(611\) | −0.0192913 | − | 0.134174i | −0.000780443 | − | 0.00542810i | ||||
\(612\) | −4.29371 | − | 2.75940i | −0.173563 | − | 0.111542i | ||||
\(613\) | 2.84610 | − | 0.835691i | 0.114953 | − | 0.0337532i | −0.223750 | − | 0.974647i | \(-0.571830\pi\) |
0.338703 | + | 0.940893i | \(0.390012\pi\) | |||||||
\(614\) | 1.05576 | − | 7.34298i | 0.0426071 | − | 0.296339i | ||||
\(615\) | −0.957789 | + | 1.10535i | −0.0386218 | + | 0.0445719i | ||||
\(616\) | −3.53761 | + | 2.27348i | −0.142534 | + | 0.0916012i | ||||
\(617\) | 7.05037 | + | 8.13656i | 0.283837 | + | 0.327565i | 0.879708 | − | 0.475515i | \(-0.157738\pi\) |
−0.595870 | + | 0.803081i | \(0.703193\pi\) | |||||||
\(618\) | −13.1206 | − | 3.85256i | −0.527789 | − | 0.154973i | ||||
\(619\) | −3.52326 | + | 7.71485i | −0.141612 | + | 0.310086i | −0.967127 | − | 0.254293i | \(-0.918157\pi\) |
0.825516 | + | 0.564379i | \(0.190884\pi\) | |||||||
\(620\) | 26.6765 | 1.07136 | ||||||||
\(621\) | 4.58075 | − | 1.42011i | 0.183819 | − | 0.0569869i | ||||
\(622\) | −25.8918 | −1.03817 | ||||||||
\(623\) | 7.80581 | − | 17.0923i | 0.312733 | − | 0.684790i | ||||
\(624\) | 0.0425403 | + | 0.0124910i | 0.00170297 | + | 0.000500039i | ||||
\(625\) | 19.8385 | + | 22.8948i | 0.793540 | + | 0.915793i | ||||
\(626\) | −24.3338 | + | 15.6384i | −0.972574 | + | 0.625035i | ||||
\(627\) | −10.8172 | + | 12.4838i | −0.431999 | + | 0.498554i | ||||
\(628\) | 1.41787 | − | 9.86148i | 0.0565790 | − | 0.393516i | ||||
\(629\) | −19.2167 | + | 5.64252i | −0.766219 | + | 0.224982i | ||||
\(630\) | −2.44943 | − | 1.57415i | −0.0975875 | − | 0.0627157i | ||||
\(631\) | −6.14456 | − | 42.7364i | −0.244611 | − | 1.70131i | −0.628403 | − | 0.777888i | \(-0.716291\pi\) |
0.383792 | − | 0.923419i | \(-0.374618\pi\) | |||||||
\(632\) | 1.15039 | + | 2.51901i | 0.0457602 | + | 0.100201i | ||||
\(633\) | −4.27245 | − | 9.35536i | −0.169815 | − | 0.371842i | ||||
\(634\) | 2.86023 | + | 19.8934i | 0.113594 | + | 0.790067i | ||||
\(635\) | 2.91270 | + | 1.87188i | 0.115587 | + | 0.0742832i | ||||
\(636\) | −7.81672 | + | 2.29520i | −0.309953 | + | 0.0910105i | ||||
\(637\) | 0.00630970 | − | 0.0438849i | 0.000250000 | − | 0.00173878i | ||||
\(638\) | −25.4446 | + | 29.3647i | −1.00736 | + | 1.16256i | ||||
\(639\) | −0.112925 | + | 0.0725723i | −0.00446723 | + | 0.00287092i | ||||
\(640\) | −1.90672 | − | 2.20047i | −0.0753697 | − | 0.0869812i | ||||
\(641\) | −1.28084 | − | 0.376089i | −0.0505902 | − | 0.0148546i | 0.256340 | − | 0.966587i | \(-0.417483\pi\) |
−0.306930 | + | 0.951732i | \(0.599302\pi\) | |||||||
\(642\) | 7.88732 | − | 17.2708i | 0.311288 | − | 0.681625i | ||||
\(643\) | −32.9355 | −1.29885 | −0.649425 | − | 0.760425i | \(-0.724991\pi\) | ||||
−0.649425 | + | 0.760425i | \(0.724991\pi\) | |||||||
\(644\) | −0.753743 | − | 4.73623i | −0.0297016 | − | 0.186634i | ||||
\(645\) | 27.3382 | 1.07644 | ||||||||
\(646\) | −8.32862 | + | 18.2371i | −0.327685 | + | 0.717530i | ||||
\(647\) | −31.1734 | − | 9.15335i | −1.22555 | − | 0.359855i | −0.395984 | − | 0.918257i | \(-0.629596\pi\) |
−0.829570 | + | 0.558402i | \(0.811415\pi\) | |||||||
\(648\) | 0.654861 | + | 0.755750i | 0.0257254 | + | 0.0296886i | ||||
\(649\) | 33.0835 | − | 21.2615i | 1.29864 | − | 0.834586i | ||||
\(650\) | −0.100970 | + | 0.116526i | −0.00396038 | + | 0.00457052i | ||||
\(651\) | −1.30389 | + | 9.06878i | −0.0511036 | + | 0.355433i | ||||
\(652\) | −9.23046 | + | 2.71031i | −0.361493 | + | 0.106144i | ||||
\(653\) | −34.2980 | − | 22.0420i | −1.34218 | − | 0.862569i | −0.345076 | − | 0.938575i | \(-0.612147\pi\) |
−0.997107 | + | 0.0760063i | \(0.975783\pi\) | |||||||
\(654\) | 1.12232 | + | 7.80592i | 0.0438862 | + | 0.305235i | ||||
\(655\) | −6.33750 | − | 13.8772i | −0.247627 | − | 0.542227i | ||||
\(656\) | −0.208673 | − | 0.456929i | −0.00814730 | − | 0.0178401i | ||||
\(657\) | 1.41224 | + | 9.82236i | 0.0550968 | + | 0.383207i | ||||
\(658\) | −2.57205 | − | 1.65296i | −0.100269 | − | 0.0644390i | ||||
\(659\) | 26.1428 | − | 7.67622i | 1.01838 | − | 0.299023i | 0.270402 | − | 0.962747i | \(-0.412843\pi\) |
0.747977 | + | 0.663724i | \(0.231025\pi\) | |||||||
\(660\) | −1.74249 | + | 12.1193i | −0.0678264 | + | 0.471743i | ||||
\(661\) | −15.0926 | + | 17.4178i | −0.587035 | + | 0.677474i | −0.969102 | − | 0.246660i | \(-0.920667\pi\) |
0.382067 | + | 0.924134i | \(0.375212\pi\) | |||||||
\(662\) | −11.0015 | + | 7.07021i | −0.427584 | + | 0.274792i | ||||
\(663\) | −0.148188 | − | 0.171018i | −0.00575515 | − | 0.00664180i | ||||
\(664\) | 14.7540 | + | 4.33218i | 0.572568 | + | 0.168121i | ||||
\(665\) | −4.75121 | + | 10.4037i | −0.184244 | + | 0.403438i | ||||
\(666\) | 3.92401 | 0.152052 | ||||||||
\(667\) | −19.0115 | − | 40.0272i | −0.736129 | − | 1.54986i | ||||
\(668\) | −2.41625 | −0.0934877 | ||||||||
\(669\) | −2.72388 | + | 5.96446i | −0.105311 | + | 0.230599i | ||||
\(670\) | 25.0263 | + | 7.34837i | 0.966848 | + | 0.283892i | ||||
\(671\) | −12.9286 | − | 14.9204i | −0.499103 | − | 0.575996i | ||||
\(672\) | 0.841254 | − | 0.540641i | 0.0324521 | − | 0.0208557i | ||||
\(673\) | −14.4954 | + | 16.7286i | −0.558756 | + | 0.644839i | −0.962901 | − | 0.269856i | \(-0.913024\pi\) |
0.404145 | + | 0.914695i | \(0.367569\pi\) | |||||||
\(674\) | 0.445775 | − | 3.10043i | 0.0171706 | − | 0.119424i | ||||
\(675\) | −3.33678 | + | 0.979766i | −0.128433 | + | 0.0377112i | ||||
\(676\) | −10.9346 | − | 7.02727i | −0.420563 | − | 0.270280i | ||||
\(677\) | 6.75686 | + | 46.9950i | 0.259687 | + | 1.80616i | 0.535046 | + | 0.844823i | \(0.320294\pi\) |
−0.275358 | + | 0.961342i | \(0.588797\pi\) | |||||||
\(678\) | −3.59975 | − | 7.88235i | −0.138247 | − | 0.302720i | ||||
\(679\) | 0.596642 | + | 1.30646i | 0.0228970 | + | 0.0501374i | ||||
\(680\) | 2.11492 | + | 14.7096i | 0.0811035 | + | 0.564087i | ||||
\(681\) | −9.62140 | − | 6.18330i | −0.368693 | − | 0.236945i | ||||
\(682\) | 36.9672 | − | 10.8546i | 1.41555 | − | 0.415642i | ||||
\(683\) | −0.0491398 | + | 0.341775i | −0.00188028 | + | 0.0130776i | −0.990740 | − | 0.135773i | \(-0.956648\pi\) |
0.988860 | + | 0.148851i | \(0.0475573\pi\) | |||||||
\(684\) | 2.57237 | − | 2.96868i | 0.0983571 | − | 0.113510i | ||||
\(685\) | 26.9415 | − | 17.3142i | 1.02938 | − | 0.661543i | ||||
\(686\) | −0.654861 | − | 0.755750i | −0.0250027 | − | 0.0288547i | ||||
\(687\) | 15.2506 | + | 4.47799i | 0.581848 | + | 0.170846i | ||||
\(688\) | −3.90045 | + | 8.54080i | −0.148703 | + | 0.325615i | ||||
\(689\) | −0.361195 | −0.0137604 | ||||||||
\(690\) | −11.8591 | − | 7.37207i | −0.451469 | − | 0.280650i | ||||
\(691\) | 19.6395 | 0.747121 | 0.373560 | − | 0.927606i | \(-0.378137\pi\) | ||||
0.373560 | + | 0.927606i | \(0.378137\pi\) | |||||||
\(692\) | −6.53267 | + | 14.3046i | −0.248335 | + | 0.543778i | ||||
\(693\) | −4.03483 | − | 1.18473i | −0.153270 | − | 0.0450042i | ||||
\(694\) | −9.09934 | − | 10.5012i | −0.345406 | − | 0.398620i | ||||
\(695\) | −8.72053 | + | 5.60434i | −0.330789 | + | 0.212585i | ||||
\(696\) | 6.05081 | − | 6.98300i | 0.229355 | − | 0.264690i | ||||
\(697\) | −0.364871 | + | 2.53773i | −0.0138205 | + | 0.0961236i | ||||
\(698\) | −21.3797 | + | 6.27764i | −0.809232 | + | 0.237612i | ||||
\(699\) | −16.4241 | − | 10.5551i | −0.621216 | − | 0.399231i | ||||
\(700\) | 0.494921 | + | 3.44225i | 0.0187062 | + | 0.130105i | ||||
\(701\) | 1.57244 | + | 3.44316i | 0.0593901 | + | 0.130046i | 0.937000 | − | 0.349329i | \(-0.113590\pi\) |
−0.877610 | + | 0.479375i | \(0.840863\pi\) | |||||||
\(702\) | 0.0184179 | + | 0.0403296i | 0.000695140 | + | 0.00152214i | ||||
\(703\) | −2.19364 | − | 15.2571i | −0.0827347 | − | 0.575432i | ||||
\(704\) | −3.53761 | − | 2.27348i | −0.133329 | − | 0.0856851i | ||||
\(705\) | −8.54146 | + | 2.50800i | −0.321690 | + | 0.0944567i | ||||
\(706\) | −0.148734 | + | 1.03447i | −0.00559769 | + | 0.0389328i | ||||
\(707\) | −7.91416 | + | 9.13343i | −0.297643 | + | 0.343498i | ||||
\(708\) | −7.86735 | + | 5.05604i | −0.295673 | + | 0.190018i | ||||
\(709\) | −25.6994 | − | 29.6587i | −0.965162 | − | 1.11386i | −0.993451 | − | 0.114257i | \(-0.963551\pi\) |
0.0282891 | − | 0.999600i | \(-0.490994\pi\) | |||||||
\(710\) | 0.375009 | + | 0.110113i | 0.0140738 | + | 0.00413245i | ||||
\(711\) | −1.15039 | + | 2.51901i | −0.0431432 | + | 0.0944703i | ||||
\(712\) | 18.7904 | 0.704200 | ||||||||
\(713\) | −5.59928 | + | 43.5813i | −0.209695 | + | 1.63213i | ||||
\(714\) | −5.10395 | −0.191010 | ||||||||
\(715\) | −0.225508 | + | 0.493793i | −0.00843351 | + | 0.0184668i | ||||
\(716\) | 2.08241 | + | 0.611450i | 0.0778232 | + | 0.0228509i | ||||
\(717\) | −3.97072 | − | 4.58246i | −0.148289 | − | 0.171135i | ||||
\(718\) | −30.9410 | + | 19.8846i | −1.15471 | + | 0.742086i | ||||
\(719\) | 10.6015 | − | 12.2348i | 0.395370 | − | 0.456282i | −0.522807 | − | 0.852451i | \(-0.675115\pi\) |
0.918177 | + | 0.396169i | \(0.129661\pi\) | |||||||
\(720\) | 0.414370 | − | 2.88200i | 0.0154426 | − | 0.107406i | ||||
\(721\) | −13.1206 | + | 3.85256i | −0.488637 | + | 0.143477i | ||||
\(722\) | 3.00317 | + | 1.93002i | 0.111766 | + | 0.0718279i | ||||
\(723\) | −0.233600 | − | 1.62472i | −0.00868768 | − | 0.0604241i | ||||
\(724\) | −5.89163 | − | 12.9009i | −0.218961 | − | 0.479457i | ||||
\(725\) | 13.3485 | + | 29.2291i | 0.495750 | + | 1.08554i | ||||
\(726\) | 0.951147 | + | 6.61537i | 0.0353004 | + | 0.245520i | ||||
\(727\) | 2.94861 | + | 1.89496i | 0.109358 | + | 0.0702800i | 0.594177 | − | 0.804335i | \(-0.297478\pi\) |
−0.484819 | + | 0.874615i | \(0.661114\pi\) | |||||||
\(728\) | 0.0425403 | − | 0.0124910i | 0.00157665 | − | 0.000462946i | ||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | 18.9211 | − | 21.8361i | 0.700300 | − | 0.808189i | ||||
\(731\) | 40.3149 | − | 25.9088i | 1.49110 | − | 0.958273i | ||||
\(732\) | 3.07446 | + | 3.54811i | 0.113635 | + | 0.131142i | ||||
\(733\) | 7.55708 | + | 2.21896i | 0.279127 | + | 0.0819591i | 0.418300 | − | 0.908309i | \(-0.362626\pi\) |
−0.139173 | + | 0.990268i | \(0.544444\pi\) | |||||||
\(734\) | 6.85221 | − | 15.0042i | 0.252920 | − | 0.553817i | ||||
\(735\) | −2.91164 | −0.107397 | ||||||||
\(736\) | 3.99511 | − | 2.65313i | 0.147262 | − | 0.0977957i | ||||
\(737\) | 37.6703 | 1.38760 | ||||||||
\(738\) | 0.208673 | − | 0.456929i | 0.00768135 | − | 0.0168198i | ||||
\(739\) | 7.73890 | + | 2.27235i | 0.284680 | + | 0.0835896i | 0.420955 | − | 0.907081i | \(-0.361695\pi\) |
−0.136275 | + | 0.990671i | \(0.543513\pi\) | |||||||
\(740\) | −7.48199 | − | 8.63467i | −0.275043 | − | 0.317417i | ||||
\(741\) | 0.146511 | − | 0.0941569i | 0.00538222 | − | 0.00345894i | ||||
\(742\) | −5.33497 | + | 6.15688i | −0.195853 | + | 0.226026i | ||||
\(743\) | 6.02764 | − | 41.9232i | 0.221133 | − | 1.53801i | −0.512632 | − | 0.858608i | \(-0.671330\pi\) |
0.733765 | − | 0.679403i | \(-0.237761\pi\) | |||||||
\(744\) | −8.79091 | + | 2.58124i | −0.322290 | + | 0.0946330i | ||||
\(745\) | −10.6495 | − | 6.84403i | −0.390168 | − | 0.250746i | ||||
\(746\) | −2.24404 | − | 15.6077i | −0.0821602 | − | 0.571437i | ||||
\(747\) | 6.38780 | + | 13.9873i | 0.233717 | + | 0.511770i | ||||
\(748\) | 8.91602 | + | 19.5234i | 0.326002 | + | 0.713845i | ||||
\(749\) | −2.70208 | − | 18.7934i | −0.0987317 | − | 0.686694i | ||||
\(750\) | −3.72890 | − | 2.39642i | −0.136160 | − | 0.0875047i | ||||
\(751\) | −2.98610 | + | 0.876798i | −0.108964 | + | 0.0319948i | −0.335760 | − | 0.941948i | \(-0.608993\pi\) |
0.226796 | + | 0.973942i | \(0.427175\pi\) | |||||||
\(752\) | 0.435114 | − | 3.02628i | 0.0158670 | − | 0.110357i | ||||
\(753\) | 12.3985 | − | 14.3086i | 0.451827 | − | 0.521436i | ||||
\(754\) | 0.344628 | − | 0.221479i | 0.0125506 | − | 0.00806578i | ||||
\(755\) | −16.2062 | − | 18.7030i | −0.589804 | − | 0.680671i | ||||
\(756\) | 0.959493 | + | 0.281733i | 0.0348964 | + | 0.0102465i | ||||
\(757\) | 10.0462 | − | 21.9982i | 0.365137 | − | 0.799538i | −0.634509 | − | 0.772916i | \(-0.718798\pi\) |
0.999646 | − | 0.0266224i | \(-0.00847516\pi\) | |||||||
\(758\) | 12.8512 | 0.466776 | ||||||||
\(759\) | −19.4335 | − | 5.39048i | −0.705391 | − | 0.195662i | ||||
\(760\) | −11.4373 | −0.414873 | ||||||||
\(761\) | −15.3730 | + | 33.6621i | −0.557270 | + | 1.22025i | 0.396033 | + | 0.918236i | \(0.370387\pi\) |
−0.953303 | + | 0.302015i | \(0.902341\pi\) | |||||||
\(762\) | −1.14097 | − | 0.335018i | −0.0413328 | − | 0.0121364i | ||||
\(763\) | 5.16435 | + | 5.95998i | 0.186962 | + | 0.215766i | ||||
\(764\) | 23.1653 | − | 14.8874i | 0.838091 | − | 0.538608i | ||||
\(765\) | −9.73179 | + | 11.2311i | −0.351854 | + | 0.406061i | ||||
\(766\) | 4.47338 | − | 31.1131i | 0.161630 | − | 1.12416i | ||||
\(767\) | −0.397834 | + | 0.116815i | −0.0143650 | + | 0.00421794i | ||||
\(768\) | 0.841254 | + | 0.540641i | 0.0303561 | + | 0.0195087i | ||||
\(769\) | 6.87433 | + | 47.8120i | 0.247895 | + | 1.72414i | 0.610340 | + | 0.792140i | \(0.291033\pi\) |
−0.362445 | + | 0.932005i | \(0.618058\pi\) | |||||||
\(770\) | 5.08631 | + | 11.1375i | 0.183298 | + | 0.401366i | ||||
\(771\) | 9.12442 | + | 19.9797i | 0.328608 | + | 0.719551i | ||||
\(772\) | 2.50013 | + | 17.3888i | 0.0899818 | + | 0.625837i | ||||
\(773\) | 26.1424 | + | 16.8007i | 0.940275 | + | 0.604278i | 0.918473 | − | 0.395484i | \(-0.129423\pi\) |
0.0218025 | + | 0.999762i | \(0.493059\pi\) | |||||||
\(774\) | −9.00896 | + | 2.64527i | −0.323820 | + | 0.0950823i | ||||
\(775\) | 4.53448 | − | 31.5380i | 0.162883 | − | 1.13288i | ||||
\(776\) | −0.940547 | + | 1.08545i | −0.0337637 | + | 0.0389653i | ||||
\(777\) | 3.30109 | − | 2.12148i | 0.118426 | − | 0.0761077i | ||||
\(778\) | −18.8752 | − | 21.7832i | −0.676710 | − | 0.780965i | ||||
\(779\) | −1.89326 | − | 0.555911i | −0.0678330 | − | 0.0199176i | ||||
\(780\) | 0.0536264 | − | 0.117425i | 0.00192013 | − | 0.00420450i | ||||
\(781\) | 0.564475 | 0.0201985 | ||||||||
\(782\) | −24.4749 | + | 0.367664i | −0.875221 | + | 0.0131476i | ||||
\(783\) | 9.23984 | 0.330205 | ||||||||
\(784\) | 0.415415 | − | 0.909632i | 0.0148363 | − | 0.0324869i | ||||
\(785\) | −27.8333 | − | 8.17259i | −0.993413 | − | 0.291692i | ||||
\(786\) | 3.43121 | + | 3.95983i | 0.122387 | + | 0.141242i | ||||
\(787\) | 41.9567 | − | 26.9640i | 1.49560 | − | 0.961161i | 0.500140 | − | 0.865945i | \(-0.333282\pi\) |
0.995457 | − | 0.0952168i | \(-0.0303544\pi\) | |||||||
\(788\) | −4.31879 | + | 4.98415i | −0.153851 | + | 0.177553i | ||||
\(789\) | −3.42124 | + | 23.7953i | −0.121799 | + | 0.847134i | ||||
\(790\) | 7.73649 | − | 2.27164i | 0.275252 | − | 0.0808213i | ||||
\(791\) | −7.28982 | − | 4.68488i | −0.259196 | − | 0.166575i | ||||
\(792\) | −0.598457 | − | 4.16236i | −0.0212653 | − | 0.147903i | ||||
\(793\) | 0.0864690 | + | 0.189341i | 0.00307060 | + | 0.00672369i | ||||
\(794\) | 0.265108 | + | 0.580505i | 0.00940832 | + | 0.0206013i | ||||
\(795\) | 3.37575 | + | 23.4789i | 0.119726 | + | 0.832710i | ||||
\(796\) | −11.6791 | − | 7.50571i | −0.413955 | − | 0.266033i | ||||
\(797\) | 20.6202 | − | 6.05465i | 0.730407 | − | 0.214467i | 0.104676 | − | 0.994506i | \(-0.466619\pi\) |
0.625730 | + | 0.780040i | \(0.284801\pi\) | |||||||
\(798\) | 0.559030 | − | 3.88814i | 0.0197894 | − | 0.137639i | ||||
\(799\) | −10.2190 | + | 11.7933i | −0.361522 | + | 0.417218i | ||||
\(800\) | −2.92558 | + | 1.88016i | −0.103435 | + | 0.0664736i | ||||
\(801\) | 12.3051 | + | 14.2008i | 0.434779 | + | 0.501762i | ||||
\(802\) | 11.5535 | + | 3.39240i | 0.407967 | + | 0.119790i | ||||
\(803\) | 17.3350 | − | 37.9584i | 0.611739 | − | 1.33952i | ||||
\(804\) | −8.95811 | −0.315928 | ||||||||
\(805\) | −13.9622 | + | 0.209740i | −0.492101 | + | 0.00739238i | ||||
\(806\) | −0.406210 | −0.0143081 | ||||||||
\(807\) | −13.2191 | + | 28.9459i | −0.465336 | + | 1.01894i | ||||
\(808\) | −11.5957 | − | 3.40481i | −0.407936 | − | 0.119781i | ||||
\(809\) | 1.81085 | + | 2.08983i | 0.0636661 | + | 0.0734747i | 0.786689 | − | 0.617349i | \(-0.211793\pi\) |
−0.723023 | + | 0.690824i | \(0.757248\pi\) | |||||||
\(810\) | 2.44943 | − | 1.57415i | 0.0860641 | − | 0.0553100i | ||||
\(811\) | 1.24050 | − | 1.43162i | 0.0435599 | − | 0.0502708i | −0.733552 | − | 0.679634i | \(-0.762139\pi\) |
0.777111 | + | 0.629363i | \(0.216684\pi\) | |||||||
\(812\) | 1.31497 | − | 9.14579i | 0.0461463 | − | 0.320954i | ||||
\(813\) | −6.68124 | + | 1.96179i | −0.234321 | + | 0.0688030i | ||||
\(814\) | −13.8816 | − | 8.92117i | −0.486550 | − | 0.312687i | ||||
\(815\) | 3.98629 | + | 27.7253i | 0.139634 | + | 0.971174i | ||||
\(816\) | −2.12026 | − | 4.64271i | −0.0742238 | − | 0.162527i | ||||
\(817\) | 15.3215 | + | 33.5493i | 0.536030 | + | 1.17374i | ||||
\(818\) | −3.80230 | − | 26.4456i | −0.132944 | − | 0.924649i | ||||
\(819\) | 0.0372980 | + | 0.0239700i | 0.00130330 | + | 0.000837579i | ||||
\(820\) | −1.40334 | + | 0.412058i | −0.0490067 | + | 0.0143897i | ||||
\(821\) | 0.342183 | − | 2.37993i | 0.0119423 | − | 0.0830603i | −0.982979 | − | 0.183720i | \(-0.941186\pi\) |
0.994921 | + | 0.100659i | \(0.0320952\pi\) | |||||||
\(822\) | −7.20288 | + | 8.31256i | −0.251229 | + | 0.289934i | ||||
\(823\) | 7.37630 | − | 4.74046i | 0.257122 | − | 0.165242i | −0.405730 | − | 0.913993i | \(-0.632983\pi\) |
0.662851 | + | 0.748751i | \(0.269346\pi\) | |||||||
\(824\) | −8.95491 | − | 10.3345i | −0.311959 | − | 0.360020i | ||||
\(825\) | 14.0317 | + | 4.12008i | 0.488521 | + | 0.143443i | ||||
\(826\) | −3.88494 | + | 8.50683i | −0.135174 | + | 0.295990i | ||||
\(827\) | −10.9548 | −0.380934 | −0.190467 | − | 0.981694i | \(-0.561000\pi\) | ||||
−0.190467 | + | 0.981694i | \(0.561000\pi\) | |||||||
\(828\) | 4.62134 | + | 1.28187i | 0.160603 | + | 0.0445481i | ||||
\(829\) | −32.5621 | −1.13093 | −0.565465 | − | 0.824772i | \(-0.691303\pi\) | ||||
−0.565465 | + | 0.824772i | \(0.691303\pi\) | |||||||
\(830\) | 18.5990 | − | 40.7261i | 0.645580 | − | 1.41362i | ||||
\(831\) | 21.8451 | + | 6.41429i | 0.757797 | + | 0.222509i | ||||
\(832\) | 0.0290341 | + | 0.0335071i | 0.00100657 | + | 0.00116165i | ||||
\(833\) | −4.29371 | + | 2.75940i | −0.148768 | + | 0.0956076i | ||||
\(834\) | 2.33146 | − | 2.69064i | 0.0807317 | − | 0.0931694i | ||||
\(835\) | −1.00122 | + | 6.96365i | −0.0346487 | + | 0.240987i | ||||
\(836\) | −15.8493 | + | 4.65377i | −0.548159 | + | 0.160954i | ||||
\(837\) | −7.70759 | − | 4.95337i | −0.266413 | − | 0.171213i | ||||
\(838\) | 3.30261 | + | 22.9702i | 0.114087 | + | 0.793491i | ||||
\(839\) | 11.3925 | + | 24.9461i | 0.393313 | + | 0.861234i | 0.997905 | + | 0.0646993i | \(0.0206088\pi\) |
−0.604592 | + | 0.796535i | \(0.706664\pi\) | |||||||
\(840\) | −1.20954 | − | 2.64852i | −0.0417331 | − | 0.0913826i | ||||
\(841\) | −8.02294 | − | 55.8008i | −0.276653 | − | 1.92417i | ||||
\(842\) | −25.1662 | − | 16.1733i | −0.867285 | − | 0.557370i | ||||
\(843\) | 8.20815 | − | 2.41013i | 0.282704 | − | 0.0830093i | ||||
\(844\) | 1.46368 | − | 10.1801i | 0.0503818 | − | 0.350413i | ||||
\(845\) | −24.7836 | + | 28.6018i | −0.852582 | + | 0.983932i | ||||
\(846\) | 2.57205 | − | 1.65296i | 0.0884289 | − | 0.0568298i | ||||
\(847\) | 4.37670 | + | 5.05098i | 0.150385 | + | 0.173554i | ||||
\(848\) | −7.81672 | − | 2.29520i | −0.268427 | − | 0.0788174i | ||||
\(849\) | 10.3721 | − | 22.7118i | 0.355971 | − | 0.779467i | ||||
\(850\) | 17.7497 | 0.608810 | ||||||||
\(851\) | 15.6769 | − | 10.4109i | 0.537396 | − | 0.356881i | ||||
\(852\) | −0.134234 | −0.00459878 | ||||||||
\(853\) | 8.38174 | − | 18.3534i | 0.286985 | − | 0.628410i | −0.710150 | − | 0.704050i | \(-0.751373\pi\) |
0.997135 | + | 0.0756405i | \(0.0241001\pi\) | |||||||
\(854\) | 4.50465 | + | 1.32269i | 0.154146 | + | 0.0452614i | ||||
\(855\) | −7.48982 | − | 8.64371i | −0.256146 | − | 0.295609i | ||||
\(856\) | 15.9726 | − | 10.2649i | 0.545931 | − | 0.350848i | ||||
\(857\) | −6.33510 | + | 7.31110i | −0.216403 | + | 0.249742i | −0.853564 | − | 0.520989i | \(-0.825563\pi\) |
0.637161 | + | 0.770731i | \(0.280109\pi\) | |||||||
\(858\) | 0.0265333 | − | 0.184543i | 0.000905833 | − | 0.00630021i | ||||
\(859\) | −7.75657 | + | 2.27753i | −0.264651 | + | 0.0777085i | −0.411366 | − | 0.911470i | \(-0.634948\pi\) |
0.146715 | + | 0.989179i | \(0.453130\pi\) | |||||||
\(860\) | 22.9984 | + | 14.7802i | 0.784239 | + | 0.504000i | ||||
\(861\) | −0.0714881 | − | 0.497210i | −0.00243631 | − | 0.0169449i | ||||
\(862\) | −9.40986 | − | 20.6047i | −0.320501 | − | 0.701800i | ||||
\(863\) | −14.2672 | − | 31.2408i | −0.485661 | − | 1.06345i | −0.980868 | − | 0.194674i | \(-0.937635\pi\) |
0.495208 | − | 0.868775i | \(-0.335092\pi\) | |||||||
\(864\) | 0.142315 | + | 0.989821i | 0.00484165 | + | 0.0336744i | ||||
\(865\) | 38.5189 | + | 24.7546i | 1.30968 | + | 0.841680i | ||||
\(866\) | −4.04042 | + | 1.18637i | −0.137299 | + | 0.0403146i | ||||
\(867\) | −1.28799 | + | 8.95815i | −0.0437424 | + | 0.304235i | ||||
\(868\) | −5.99986 | + | 6.92420i | −0.203648 | + | 0.235023i | ||||
\(869\) | 9.79658 | − | 6.29588i | 0.332326 | − | 0.213573i | ||||
\(870\) | −17.6178 | − | 20.3320i | −0.597298 | − | 0.689319i | ||||
\(871\) | −0.381081 | − | 0.111895i | −0.0129124 | − | 0.00379143i | ||||
\(872\) | −3.27604 | + | 7.17353i | −0.110941 | + | 0.242926i | ||||
\(873\) | −1.43625 | −0.0486098 | ||||||||
\(874\) | 2.40063 | − | 18.6850i | 0.0812024 | − | 0.632030i | ||||
\(875\) | −4.43255 | −0.149847 | ||||||||
\(876\) | −4.12232 | + | 9.02661i | −0.139280 | + | 0.304981i | ||||
\(877\) | −24.6614 | − | 7.24124i | −0.832756 | − | 0.244519i | −0.162556 | − | 0.986699i | \(-0.551974\pi\) |
−0.670200 | + | 0.742180i | \(0.733792\pi\) | |||||||
\(878\) | 4.46509 | + | 5.15299i | 0.150690 | + | 0.173905i | ||||
\(879\) | −3.18234 | + | 2.04516i | −0.107338 | + | 0.0689817i | ||||
\(880\) | −8.01806 | + | 9.25334i | −0.270289 | + | 0.311930i | ||||
\(881\) | 0.985718 | − | 6.85582i | 0.0332097 | − | 0.230978i | −0.966456 | − | 0.256832i | \(-0.917321\pi\) |
0.999666 | + | 0.0258537i | \(0.00823039\pi\) | |||||||
\(882\) | 0.959493 | − | 0.281733i | 0.0323078 | − | 0.00948643i | ||||
\(883\) | 34.2646 | + | 22.0205i | 1.15310 | + | 0.741050i | 0.970253 | − | 0.242093i | \(-0.0778338\pi\) |
0.182843 | + | 0.983142i | \(0.441470\pi\) | |||||||
\(884\) | −0.0322044 | − | 0.223986i | −0.00108315 | − | 0.00753348i | ||||
\(885\) | 11.3115 | + | 24.7688i | 0.380233 | + | 0.832595i | ||||
\(886\) | −1.32603 | − | 2.90360i | −0.0445488 | − | 0.0975483i | ||||
\(887\) | −8.01340 | − | 55.7344i | −0.269064 | − | 1.87138i | −0.457381 | − | 0.889271i | \(-0.651212\pi\) |
0.188317 | − | 0.982108i | \(-0.439697\pi\) | |||||||
\(888\) | 3.30109 | + | 2.12148i | 0.110777 | + | 0.0711922i | ||||
\(889\) | −1.14097 | + | 0.335018i | −0.0382668 | + | 0.0112361i | ||||
\(890\) | 7.78617 | − | 54.1540i | 0.260993 | − | 1.81525i | ||||
\(891\) | 2.75380 | − | 3.17805i | 0.0922557 | − | 0.106469i | ||||
\(892\) | −5.51610 | + | 3.54498i | −0.184693 | + | 0.118695i | ||||
\(893\) | −7.86478 | − | 9.07644i | −0.263185 | − | 0.303731i | ||||
\(894\) | 4.17165 | + | 1.22491i | 0.139521 | + | 0.0409670i | ||||
\(895\) | 2.62509 | − | 5.74814i | 0.0877469 | − | 0.192139i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | 0.180581 | + | 0.112256i | 0.00602944 | + | 0.00374813i | ||||
\(898\) | 1.21213 | 0.0404494 | ||||||||
\(899\) | −35.1672 | + | 77.0055i | −1.17289 | + | 2.56828i | ||||
\(900\) | −3.33678 | − | 0.979766i | −0.111226 | − | 0.0326589i | ||||
\(901\) | 27.2294 | + | 31.4244i | 0.907143 | + | 1.04690i | ||||
\(902\) | −1.77702 | + | 1.14202i | −0.0591684 | + | 0.0380252i | ||||
\(903\) | −6.14868 | + | 7.09596i | −0.204615 | + | 0.236139i | ||||
\(904\) | 1.23322 | − | 8.57722i | 0.0410162 | − | 0.285274i | ||||
\(905\) | −39.6216 | + | 11.6340i | −1.31707 | + | 0.386726i | ||||
\(906\) | 7.15026 | + | 4.59519i | 0.237551 | + | 0.152665i | ||||
\(907\) | −7.01266 | − | 48.7741i | −0.232852 | − | 1.61952i | −0.685668 | − | 0.727915i | \(-0.740490\pi\) |
0.452816 | − | 0.891604i | \(-0.350419\pi\) | |||||||
\(908\) | −4.75110 | − | 10.4034i | −0.157671 | − | 0.345251i | ||||
\(909\) | −5.02040 | − | 10.9931i | −0.166516 | − | 0.364619i | ||||
\(910\) | −0.0183716 | − | 0.127777i | −0.000609012 | − | 0.00423577i | ||||
\(911\) | 26.2652 | + | 16.8796i | 0.870204 | + | 0.559246i | 0.897815 | − | 0.440373i | \(-0.145154\pi\) |
−0.0276113 | + | 0.999619i | \(0.508790\pi\) | |||||||
\(912\) | 3.76900 | − | 1.10668i | 0.124804 | − | 0.0366458i | ||||
\(913\) | 9.20242 | − | 64.0043i | 0.304556 | − | 2.11823i | ||||
\(914\) | 22.9637 | − | 26.5016i | 0.759573 | − | 0.876594i | ||||
\(915\) | 11.4996 | − | 7.39037i | 0.380166 | − | 0.244318i | ||||
\(916\) | 10.4087 | + | 12.0122i | 0.343912 | + | 0.396896i | ||||
\(917\) | 5.02736 | + | 1.47617i | 0.166018 | + | 0.0487473i | ||||
\(918\) | 2.12026 | − | 4.64271i | 0.0699789 | − | 0.153232i | ||||
\(919\) | 18.1074 | 0.597308 | 0.298654 | − | 0.954362i | \(-0.403462\pi\) | ||||
0.298654 | + | 0.954362i | \(0.403462\pi\) | |||||||
\(920\) | −5.99088 | − | 12.6133i | −0.197513 | − | 0.415848i | ||||
\(921\) | 7.41849 | 0.244448 | ||||||||
\(922\) | 0.0523897 | − | 0.114717i | 0.00172536 | − | 0.00377802i | ||||
\(923\) | −0.00571035 | − | 0.00167671i | −0.000187958 | − | 5.51896e-5i | ||||
\(924\) | −2.75380 | − | 3.17805i | −0.0905933 | − | 0.104550i | ||||
\(925\) | −11.4800 | + | 7.37776i | −0.377461 | + | 0.242579i | ||||
\(926\) | −2.37296 | + | 2.73854i | −0.0779803 | + | 0.0899940i | ||||
\(927\) | 1.94609 | − | 13.5353i | 0.0639179 | − | 0.444559i | ||||
\(928\) | 8.86556 | − | 2.60316i | 0.291026 | − | 0.0854530i | ||||
\(929\) | −2.82146 | − | 1.81324i | −0.0925691 | − | 0.0594906i | 0.493537 | − | 0.869725i | \(-0.335704\pi\) |
−0.586106 | + | 0.810234i | \(0.699340\pi\) | |||||||
\(930\) | 3.79647 | + | 26.4050i | 0.124491 | + | 0.865854i | ||||
\(931\) | −1.63180 | − | 3.57314i | −0.0534801 | − | 0.117105i | ||||
\(932\) | −8.11029 | − | 17.7591i | −0.265661 | − | 0.581717i | ||||
\(933\) | −3.68479 | − | 25.6283i | −0.120634 | − | 0.839031i | ||||
\(934\) | 14.5172 | + | 9.32966i | 0.475018 | + | 0.305276i | ||||
\(935\) | 59.9609 | − | 17.6061i | 1.96093 | − | 0.575782i | ||||
\(936\) | −0.00630970 | + | 0.0438849i | −0.000206239 | + | 0.00143442i | ||||
\(937\) | 3.72617 | − | 4.30023i | 0.121729 | − | 0.140482i | −0.691614 | − | 0.722267i | \(-0.743100\pi\) |
0.813343 | + | 0.581785i | \(0.197645\pi\) | |||||||
\(938\) | −7.53604 | + | 4.84312i | −0.246060 | + | 0.158133i | ||||
\(939\) | −18.9423 | − | 21.8605i | −0.618157 | − | 0.713391i | ||||
\(940\) | −8.54146 | − | 2.50800i | −0.278592 | − | 0.0818019i | ||||
\(941\) | 5.81582 | − | 12.7349i | 0.189590 | − | 0.415145i | −0.790837 | − | 0.612027i | \(-0.790354\pi\) |
0.980427 | + | 0.196882i | \(0.0630816\pi\) | |||||||
\(942\) | 9.96289 | 0.324608 | ||||||||
\(943\) | −0.378623 | − | 2.37912i | −0.0123296 | − | 0.0774748i | ||||
\(944\) | −9.35194 | −0.304380 | ||||||||
\(945\) | 1.20954 | − | 2.64852i | 0.0393463 | − | 0.0861564i | ||||
\(946\) | 37.8842 | + | 11.1238i | 1.23172 | + | 0.361666i | ||||
\(947\) | −0.132933 | − | 0.153413i | −0.00431975 | − | 0.00498525i | 0.753586 | − | 0.657350i | \(-0.228323\pi\) |
−0.757905 | + | 0.652365i | \(0.773777\pi\) | |||||||
\(948\) | −2.32965 | + | 1.49718i | −0.0756637 | + | 0.0486261i | ||||
\(949\) | −0.288116 | + | 0.332503i | −0.00935263 | + | 0.0107935i | ||||
\(950\) | −1.94411 | + | 13.5216i | −0.0630752 | + | 0.438697i | ||||
\(951\) | −19.2838 | + | 5.66224i | −0.625321 | + | 0.183611i | ||||
\(952\) | −4.29371 | − | 2.75940i | −0.139160 | − | 0.0894327i | ||||
\(953\) | −3.91458 | − | 27.2265i | −0.126806 | − | 0.881953i | −0.949567 | − | 0.313565i | \(-0.898477\pi\) |
0.822761 | − | 0.568387i | \(-0.192433\pi\) | |||||||
\(954\) | −3.38427 | − | 7.41052i | −0.109570 | − | 0.239924i | ||||
\(955\) | −33.3066 | − | 72.9313i | −1.07778 | − | 2.36000i | ||||
\(956\) | −0.862921 | − | 6.00175i | −0.0279089 | − | 0.194110i | ||||
\(957\) | −32.6869 | − | 21.0066i | −1.05662 | − | 0.679047i | ||||
\(958\) | −27.0534 | + | 7.94358i | −0.874054 | + | 0.256645i | ||||
\(959\) | −1.56533 | + | 10.8871i | −0.0505473 | + | 0.351564i | ||||
\(960\) | 1.90672 | − | 2.20047i | 0.0615391 | − | 0.0710199i | ||||
\(961\) | 44.5384 | − | 28.6231i | 1.43672 | − | 0.923325i | ||||
\(962\) | 0.113930 | + | 0.131482i | 0.00367325 | + | 0.00423916i | ||||
\(963\) | 18.2175 | + | 5.34915i | 0.587051 | + | 0.172374i | ||||
\(964\) | 0.681875 | − | 1.49310i | 0.0219617 | − | 0.0480895i | ||||
\(965\) | 51.1506 | 1.64660 | ||||||||
\(966\) | 4.58075 | − | 1.42011i | 0.147383 | − | 0.0456912i | ||||
\(967\) | −53.2789 | −1.71334 | −0.856668 | − | 0.515869i | \(-0.827469\pi\) | ||||
−0.856668 | + | 0.515869i | \(0.827469\pi\) | |||||||
\(968\) | −2.77639 | + | 6.07944i | −0.0892364 | + | 0.195400i | ||||
\(969\) | −19.2368 | − | 5.64843i | −0.617975 | − | 0.181454i | ||||
\(970\) | 2.73853 | + | 3.16044i | 0.0879290 | + | 0.101475i | ||||
\(971\) | −2.60742 | + | 1.67568i | −0.0836760 | + | 0.0537753i | −0.581810 | − | 0.813325i | \(-0.697655\pi\) |
0.498134 | + | 0.867100i | \(0.334019\pi\) | |||||||
\(972\) | −0.654861 | + | 0.755750i | −0.0210047 | + | 0.0242407i | ||||
\(973\) | 0.506674 | − | 3.52399i | 0.0162432 | − | 0.112974i | ||||
\(974\) | −5.72944 | + | 1.68232i | −0.183583 | + | 0.0539049i | ||||
\(975\) | −0.129709 | − | 0.0833591i | −0.00415402 | − | 0.00266963i | ||||
\(976\) | 0.668144 | + | 4.64704i | 0.0213868 | + | 0.148748i | ||||
\(977\) | −11.2107 | − | 24.5480i | −0.358662 | − | 0.785360i | −0.999839 | − | 0.0179665i | \(-0.994281\pi\) |
0.641177 | − | 0.767393i | \(-0.278447\pi\) | |||||||
\(978\) | −3.99635 | − | 8.75079i | −0.127789 | − | 0.279819i | ||||
\(979\) | −11.2452 | − | 78.2124i | −0.359400 | − | 2.49968i | ||||
\(980\) | −2.44943 | − | 1.57415i | −0.0782441 | − | 0.0502844i | ||||
\(981\) | −7.56674 | + | 2.22180i | −0.241587 | + | 0.0709365i | ||||
\(982\) | 4.51095 | − | 31.3743i | 0.143950 | − | 1.00120i | ||||
\(983\) | −14.5708 | + | 16.8156i | −0.464737 | + | 0.536336i | −0.938940 | − | 0.344080i | \(-0.888191\pi\) |
0.474203 | + | 0.880416i | \(0.342736\pi\) | |||||||
\(984\) | 0.422581 | − | 0.271576i | 0.0134714 | − | 0.00865754i | ||||
\(985\) | 12.5748 | + | 14.5121i | 0.400665 | + | 0.462393i | ||||
\(986\) | −45.2493 | − | 13.2864i | −1.44103 | − | 0.423125i | ||||
\(987\) | 1.27009 | − | 2.78111i | 0.0404274 | − | 0.0885238i | ||||
\(988\) | 0.174158 | 0.00554070 | ||||||||
\(989\) | −28.9736 | + | 34.4701i | −0.921305 | + | 1.09609i | ||||
\(990\) | −12.2439 | −0.389137 | ||||||||
\(991\) | 0.122845 | − | 0.268992i | 0.00390229 | − | 0.00854482i | −0.907671 | − | 0.419683i | \(-0.862141\pi\) |
0.911573 | + | 0.411138i | \(0.134869\pi\) | |||||||
\(992\) | −8.79091 | − | 2.58124i | −0.279112 | − | 0.0819546i | ||||
\(993\) | −8.56392 | − | 9.88329i | −0.271768 | − | 0.313637i | ||||
\(994\) | −0.112925 | + | 0.0725723i | −0.00358175 | + | 0.00230185i | ||||
\(995\) | −26.4709 | + | 30.5491i | −0.839185 | + | 0.968472i | ||||
\(996\) | −2.18836 | + | 15.2204i | −0.0693409 | + | 0.482277i | ||||
\(997\) | 0.762135 | − | 0.223783i | 0.0241370 | − | 0.00708728i | −0.269642 | − | 0.962961i | \(-0.586905\pi\) |
0.293779 | + | 0.955873i | \(0.405087\pi\) | |||||||
\(998\) | −7.60931 | − | 4.89020i | −0.240868 | − | 0.154797i | ||||
\(999\) | 0.558445 | + | 3.88407i | 0.0176684 | + | 0.122887i |
(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 | 966.2.q.f.673.1 | yes | 30 | |
23.4 | even | 11 | inner | 966.2.q.f.211.1 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.q.f.211.1 | ✓ | 30 | 23.4 | even | 11 | inner | |
966.2.q.f.673.1 | yes | 30 | 1.1 | even | 1 | trivial |