Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 59.9 | ||
Character | \(\chi\) | \(=\) | 300.59 |
Dual form | 300.2.r.a.239.9 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28571 | − | 0.589029i | −0.909133 | − | 0.416506i | ||||
\(3\) | −0.760326 | − | 1.55625i | −0.438974 | − | 0.898500i | ||||
\(4\) | 1.30609 | + | 1.51464i | 0.653045 | + | 0.757319i | ||||
\(5\) | −1.70605 | + | 1.44547i | −0.762968 | + | 0.646436i | ||||
\(6\) | 0.0608822 | + | 2.44873i | 0.0248551 | + | 0.999691i | ||||
\(7\) | 1.06519 | 0.402604 | 0.201302 | − | 0.979529i | \(-0.435483\pi\) | ||||
0.201302 | + | 0.979529i | \(0.435483\pi\) | |||||||
\(8\) | −0.787085 | − | 2.71671i | −0.278277 | − | 0.960501i | ||||
\(9\) | −1.84381 | + | 2.36651i | −0.614603 | + | 0.788836i | ||||
\(10\) | 3.04491 | − | 0.853547i | 0.962884 | − | 0.269915i | ||||
\(11\) | 3.04382 | + | 2.21147i | 0.917748 | + | 0.666783i | 0.942962 | − | 0.332899i | \(-0.108027\pi\) |
−0.0252148 | + | 0.999682i | \(0.508027\pi\) | |||||||
\(12\) | 1.36410 | − | 3.18422i | 0.393781 | − | 0.919204i | ||||
\(13\) | 0.659995 | + | 0.908406i | 0.183050 | + | 0.251946i | 0.890674 | − | 0.454643i | \(-0.150233\pi\) |
−0.707624 | + | 0.706589i | \(0.750233\pi\) | |||||||
\(14\) | −1.36952 | − | 0.627427i | −0.366020 | − | 0.167687i | ||||
\(15\) | 3.54667 | + | 1.55600i | 0.915746 | + | 0.401758i | ||||
\(16\) | −0.588257 | + | 3.95651i | −0.147064 | + | 0.989127i | ||||
\(17\) | −0.888219 | + | 2.73366i | −0.215425 | + | 0.663010i | 0.783698 | + | 0.621142i | \(0.213331\pi\) |
−0.999123 | + | 0.0418678i | \(0.986669\pi\) | |||||||
\(18\) | 3.76454 | − | 1.95658i | 0.887311 | − | 0.461171i | ||||
\(19\) | 4.04621 | + | 1.31469i | 0.928264 | + | 0.301611i | 0.733853 | − | 0.679309i | \(-0.237720\pi\) |
0.194412 | + | 0.980920i | \(0.437720\pi\) | |||||||
\(20\) | −4.41762 | − | 0.696126i | −0.987811 | − | 0.155659i | ||||
\(21\) | −0.809891 | − | 1.65770i | −0.176733 | − | 0.361739i | ||||
\(22\) | −2.61085 | − | 4.63620i | −0.556635 | − | 0.988442i | ||||
\(23\) | 4.00089 | − | 5.50675i | 0.834243 | − | 1.14824i | −0.152875 | − | 0.988246i | \(-0.548853\pi\) |
0.987118 | − | 0.159992i | \(-0.0511468\pi\) | |||||||
\(24\) | −3.62943 | + | 3.29048i | −0.740854 | + | 0.671667i | ||||
\(25\) | 0.821205 | − | 4.93210i | 0.164241 | − | 0.986420i | ||||
\(26\) | −0.313484 | − | 1.55670i | −0.0614793 | − | 0.305294i | ||||
\(27\) | 5.08477 | + | 1.07011i | 0.978564 | + | 0.205942i | ||||
\(28\) | 1.39123 | + | 1.61338i | 0.262918 | + | 0.304900i | ||||
\(29\) | 2.10841 | − | 0.685063i | 0.391521 | − | 0.127213i | −0.106639 | − | 0.994298i | \(-0.534009\pi\) |
0.498161 | + | 0.867085i | \(0.334009\pi\) | |||||||
\(30\) | −3.64345 | − | 4.08965i | −0.665200 | − | 0.746665i | ||||
\(31\) | −0.361234 | − | 0.117372i | −0.0648795 | − | 0.0210806i | 0.276397 | − | 0.961043i | \(-0.410859\pi\) |
−0.341277 | + | 0.939963i | \(0.610859\pi\) | |||||||
\(32\) | 3.08682 | − | 4.74041i | 0.545679 | − | 0.837995i | ||||
\(33\) | 1.12729 | − | 6.41838i | 0.196237 | − | 1.11730i | ||||
\(34\) | 2.75219 | − | 2.99150i | 0.471997 | − | 0.513038i | ||||
\(35\) | −1.81727 | + | 1.53970i | −0.307174 | + | 0.260258i | ||||
\(36\) | −5.99259 | + | 0.298169i | −0.998764 | + | 0.0496948i | ||||
\(37\) | 6.98690 | + | 9.61665i | 1.14864 | + | 1.58097i | 0.746496 | + | 0.665390i | \(0.231735\pi\) |
0.402144 | + | 0.915576i | \(0.368265\pi\) | |||||||
\(38\) | −4.42785 | − | 4.07365i | −0.718293 | − | 0.660833i | ||||
\(39\) | 0.911892 | − | 1.71780i | 0.146020 | − | 0.275068i | ||||
\(40\) | 5.26974 | + | 3.49712i | 0.833219 | + | 0.552944i | ||||
\(41\) | 2.81265 | + | 3.87128i | 0.439262 | + | 0.604592i | 0.970048 | − | 0.242914i | \(-0.0781032\pi\) |
−0.530786 | + | 0.847506i | \(0.678103\pi\) | |||||||
\(42\) | 0.0648511 | + | 2.60837i | 0.0100067 | + | 0.402479i | ||||
\(43\) | −9.24777 | −1.41027 | −0.705136 | − | 0.709072i | \(-0.749114\pi\) | ||||
−0.705136 | + | 0.709072i | \(0.749114\pi\) | |||||||
\(44\) | 0.625935 | + | 7.49867i | 0.0943633 | + | 1.13047i | ||||
\(45\) | −0.275099 | − | 6.70256i | −0.0410093 | − | 0.999159i | ||||
\(46\) | −8.38761 | + | 4.72344i | −1.23669 | + | 0.696433i | ||||
\(47\) | 7.50958 | − | 2.44001i | 1.09539 | − | 0.355912i | 0.295060 | − | 0.955479i | \(-0.404660\pi\) |
0.800325 | + | 0.599566i | \(0.204660\pi\) | |||||||
\(48\) | 6.60457 | − | 2.09276i | 0.953288 | − | 0.302064i | ||||
\(49\) | −5.86537 | −0.837910 | ||||||||
\(50\) | −3.96098 | + | 5.85753i | −0.560167 | + | 0.828380i | ||||
\(51\) | 4.92958 | − | 0.696181i | 0.690280 | − | 0.0974849i | ||||
\(52\) | −0.513893 | + | 2.18611i | −0.0712641 | + | 0.303159i | ||||
\(53\) | 1.84297 | + | 5.67207i | 0.253151 | + | 0.779118i | 0.994188 | + | 0.107655i | \(0.0343341\pi\) |
−0.741037 | + | 0.671464i | \(0.765666\pi\) | |||||||
\(54\) | −5.90720 | − | 4.37092i | −0.803869 | − | 0.594807i | ||||
\(55\) | −8.38953 | + | 0.626900i | −1.13124 | + | 0.0845311i | ||||
\(56\) | −0.838395 | − | 2.89381i | −0.112035 | − | 0.386701i | ||||
\(57\) | −1.03045 | − | 7.29650i | −0.136486 | − | 0.966445i | ||||
\(58\) | −3.11432 | − | 0.361121i | −0.408930 | − | 0.0474176i | ||||
\(59\) | −5.06153 | + | 3.67742i | −0.658956 | + | 0.478759i | −0.866310 | − | 0.499507i | \(-0.833515\pi\) |
0.207354 | + | 0.978266i | \(0.433515\pi\) | |||||||
\(60\) | 2.27549 | + | 7.40420i | 0.293764 | + | 0.955878i | ||||
\(61\) | 2.73832 | + | 1.98950i | 0.350605 | + | 0.254730i | 0.749123 | − | 0.662431i | \(-0.230475\pi\) |
−0.398518 | + | 0.917161i | \(0.630475\pi\) | |||||||
\(62\) | 0.395306 | + | 0.363683i | 0.0502039 | + | 0.0461878i | ||||
\(63\) | −1.96401 | + | 2.52078i | −0.247442 | + | 0.317589i | ||||
\(64\) | −6.76099 | + | 4.27656i | −0.845124 | + | 0.534570i | ||||
\(65\) | −2.43906 | − | 0.595778i | −0.302528 | − | 0.0738971i | ||||
\(66\) | −5.22998 | + | 7.58815i | −0.643766 | + | 0.934037i | ||||
\(67\) | −2.81133 | + | 8.65237i | −0.343458 | + | 1.05706i | 0.618946 | + | 0.785434i | \(0.287560\pi\) |
−0.962404 | + | 0.271622i | \(0.912440\pi\) | |||||||
\(68\) | −5.30060 | + | 2.22507i | −0.642792 | + | 0.269830i | ||||
\(69\) | −11.6118 | − | 2.03945i | −1.39790 | − | 0.245521i | ||||
\(70\) | 3.24340 | − | 0.909189i | 0.387661 | − | 0.108669i | ||||
\(71\) | 1.55922 | + | 4.79878i | 0.185045 | + | 0.569511i | 0.999949 | − | 0.0100854i | \(-0.00321033\pi\) |
−0.814904 | + | 0.579596i | \(0.803210\pi\) | |||||||
\(72\) | 7.88035 | + | 3.14645i | 0.928708 | + | 0.370813i | ||||
\(73\) | −0.951706 | + | 1.30991i | −0.111389 | + | 0.153313i | −0.861071 | − | 0.508484i | \(-0.830206\pi\) |
0.749683 | + | 0.661797i | \(0.230206\pi\) | |||||||
\(74\) | −3.31863 | − | 16.4797i | −0.385783 | − | 1.91572i | ||||
\(75\) | −8.29995 | + | 2.47200i | −0.958396 | + | 0.285443i | ||||
\(76\) | 3.29343 | + | 7.84565i | 0.377782 | + | 0.899958i | ||||
\(77\) | 3.24225 | + | 2.35563i | 0.369489 | + | 0.268449i | ||||
\(78\) | −2.18426 | + | 1.67146i | −0.247319 | + | 0.189255i | ||||
\(79\) | 13.0050 | − | 4.22558i | 1.46317 | − | 0.475414i | 0.534137 | − | 0.845398i | \(-0.320637\pi\) |
0.929038 | + | 0.369984i | \(0.120637\pi\) | |||||||
\(80\) | −4.71544 | − | 7.60031i | −0.527202 | − | 0.849740i | ||||
\(81\) | −2.20073 | − | 8.72679i | −0.244525 | − | 0.969643i | ||||
\(82\) | −1.33595 | − | 6.63407i | −0.147531 | − | 0.732610i | ||||
\(83\) | −14.7786 | − | 4.80187i | −1.62217 | − | 0.527074i | −0.649714 | − | 0.760179i | \(-0.725111\pi\) |
−0.972452 | + | 0.233105i | \(0.925111\pi\) | |||||||
\(84\) | 1.45302 | − | 3.39180i | 0.158538 | − | 0.370075i | ||||
\(85\) | −2.43609 | − | 5.94765i | −0.264231 | − | 0.645114i | ||||
\(86\) | 11.8899 | + | 5.44720i | 1.28212 | + | 0.587387i | ||||
\(87\) | −2.66920 | − | 2.76033i | −0.286169 | − | 0.295939i | ||||
\(88\) | 3.61216 | − | 10.0098i | 0.385058 | − | 1.06705i | ||||
\(89\) | 4.85548 | − | 6.68300i | 0.514680 | − | 0.708396i | −0.470020 | − | 0.882656i | \(-0.655753\pi\) |
0.984700 | + | 0.174259i | \(0.0557532\pi\) | |||||||
\(90\) | −3.59430 | + | 8.77958i | −0.378873 | + | 0.925449i | ||||
\(91\) | 0.703020 | + | 0.967625i | 0.0736966 | + | 0.101435i | ||||
\(92\) | 13.5663 | − | 1.13241i | 1.41438 | − | 0.118062i | ||||
\(93\) | 0.0919955 | + | 0.651410i | 0.00953948 | + | 0.0675480i | ||||
\(94\) | −11.0924 | − | 1.28622i | −1.14409 | − | 0.132663i | ||||
\(95\) | −8.80339 | + | 3.60576i | −0.903209 | + | 0.369944i | ||||
\(96\) | −9.72425 | − | 1.19960i | −0.992477 | − | 0.122434i | ||||
\(97\) | −11.0204 | + | 3.58074i | −1.11895 | + | 0.363569i | −0.809367 | − | 0.587303i | \(-0.800190\pi\) |
−0.309584 | + | 0.950872i | \(0.600190\pi\) | |||||||
\(98\) | 7.54115 | + | 3.45487i | 0.761772 | + | 0.348995i | ||||
\(99\) | −10.8457 | + | 3.12571i | −1.09003 | + | 0.314146i | ||||
\(100\) | 8.54292 | − | 5.19794i | 0.854292 | − | 0.519794i | ||||
\(101\) | 10.1196i | 1.00693i | 0.864015 | + | 0.503467i | \(0.167942\pi\) | ||||
−0.864015 | + | 0.503467i | \(0.832058\pi\) | |||||||
\(102\) | −6.74808 | − | 2.00858i | −0.668159 | − | 0.198879i | ||||
\(103\) | −4.28316 | − | 13.1822i | −0.422032 | − | 1.29888i | −0.905808 | − | 0.423689i | \(-0.860735\pi\) |
0.483776 | − | 0.875192i | \(-0.339265\pi\) | |||||||
\(104\) | 1.94840 | − | 2.50801i | 0.191056 | − | 0.245930i | ||||
\(105\) | 3.77787 | + | 1.65744i | 0.368683 | + | 0.161749i | ||||
\(106\) | 0.971494 | − | 8.37818i | 0.0943599 | − | 0.813761i | ||||
\(107\) | 3.63139i | 0.351060i | 0.984474 | + | 0.175530i | \(0.0561638\pi\) | ||||
−0.984474 | + | 0.175530i | \(0.943836\pi\) | |||||||
\(108\) | 5.02034 | + | 9.09924i | 0.483083 | + | 0.875575i | ||||
\(109\) | 8.30940 | − | 6.03713i | 0.795896 | − | 0.578252i | −0.113811 | − | 0.993502i | \(-0.536306\pi\) |
0.909707 | + | 0.415250i | \(0.136306\pi\) | |||||||
\(110\) | 11.1558 | + | 4.13567i | 1.06366 | + | 0.394320i | ||||
\(111\) | 9.65356 | − | 18.1851i | 0.916275 | − | 1.72606i | ||||
\(112\) | −0.626606 | + | 4.21443i | −0.0592087 | + | 0.398226i | ||||
\(113\) | −7.25641 | + | 5.27209i | −0.682625 | + | 0.495956i | −0.874228 | − | 0.485516i | \(-0.838632\pi\) |
0.191602 | + | 0.981473i | \(0.438632\pi\) | |||||||
\(114\) | −2.97299 | + | 9.98813i | −0.278446 | + | 0.935474i | ||||
\(115\) | 1.13416 | + | 15.1780i | 0.105761 | + | 1.41535i | ||||
\(116\) | 3.79139 | + | 2.29872i | 0.352022 | + | 0.213431i | ||||
\(117\) | −3.36666 | − | 0.113043i | −0.311248 | − | 0.0104508i | ||||
\(118\) | 8.67376 | − | 1.74670i | 0.798484 | − | 0.160797i | ||||
\(119\) | −0.946122 | + | 2.91186i | −0.0867309 | + | 0.266930i | ||||
\(120\) | 1.43567 | − | 10.8600i | 0.131058 | − | 0.991375i | ||||
\(121\) | 0.975089 | + | 3.00102i | 0.0886445 | + | 0.272820i | ||||
\(122\) | −2.34880 | − | 4.17087i | −0.212650 | − | 0.377613i | ||||
\(123\) | 3.88614 | − | 7.32061i | 0.350401 | − | 0.660077i | ||||
\(124\) | −0.294028 | − | 0.700437i | −0.0264045 | − | 0.0629011i | ||||
\(125\) | 5.72821 | + | 9.60144i | 0.512347 | + | 0.858779i | ||||
\(126\) | 4.00995 | − | 2.08413i | 0.357235 | − | 0.185669i | ||||
\(127\) | 7.53088 | + | 5.47151i | 0.668258 | + | 0.485518i | 0.869442 | − | 0.494036i | \(-0.164479\pi\) |
−0.201184 | + | 0.979554i | \(0.564479\pi\) | |||||||
\(128\) | 11.2117 | − | 1.51598i | 0.990982 | − | 0.133995i | ||||
\(129\) | 7.03131 | + | 14.3918i | 0.619073 | + | 1.26713i | ||||
\(130\) | 2.78499 | + | 2.20267i | 0.244260 | + | 0.193187i | ||||
\(131\) | 2.27835 | − | 7.01204i | 0.199060 | − | 0.612645i | −0.800845 | − | 0.598872i | \(-0.795616\pi\) |
0.999905 | − | 0.0137729i | \(-0.00438418\pi\) | |||||||
\(132\) | 11.1939 | − | 6.67554i | 0.974301 | − | 0.581031i | ||||
\(133\) | 4.30998 | + | 1.40040i | 0.373723 | + | 0.121430i | ||||
\(134\) | 8.71104 | − | 9.46847i | 0.752520 | − | 0.817952i | ||||
\(135\) | −10.2217 | + | 5.52425i | −0.879742 | + | 0.475452i | ||||
\(136\) | 8.12565 | + | 0.261411i | 0.696769 | + | 0.0224158i | ||||
\(137\) | 6.81997 | − | 4.95500i | 0.582669 | − | 0.423334i | −0.257016 | − | 0.966407i | \(-0.582739\pi\) |
0.839685 | + | 0.543073i | \(0.182739\pi\) | |||||||
\(138\) | 13.7282 | + | 9.46185i | 1.16862 | + | 0.805446i | ||||
\(139\) | 2.56193 | − | 3.52620i | 0.217300 | − | 0.299088i | −0.686425 | − | 0.727200i | \(-0.740821\pi\) |
0.903726 | + | 0.428112i | \(0.140821\pi\) | |||||||
\(140\) | −4.70561 | − | 0.741506i | −0.397697 | − | 0.0626687i | ||||
\(141\) | −9.50699 | − | 9.83156i | −0.800633 | − | 0.827967i | ||||
\(142\) | 0.821921 | − | 7.08826i | 0.0689741 | − | 0.594833i | ||||
\(143\) | 4.22459i | 0.353278i | ||||||||
\(144\) | −8.27848 | − | 8.68717i | −0.689873 | − | 0.723930i | ||||
\(145\) | −2.60680 | + | 4.21640i | −0.216483 | + | 0.350153i | ||||
\(146\) | 1.99519 | − | 1.12358i | 0.165123 | − | 0.0929882i | ||||
\(147\) | 4.45959 | + | 9.12797i | 0.367821 | + | 0.752862i | ||||
\(148\) | −5.44021 | + | 23.1428i | −0.447183 | + | 1.90233i | ||||
\(149\) | − | 0.371677i | − | 0.0304490i | −0.999884 | − | 0.0152245i | \(-0.995154\pi\) | ||
0.999884 | − | 0.0152245i | \(-0.00484629\pi\) | |||||||
\(150\) | 12.1274 | + | 1.71063i | 0.990198 | + | 0.139673i | ||||
\(151\) | − | 21.6111i | − | 1.75868i | −0.476192 | − | 0.879341i | \(-0.657983\pi\) | ||
0.476192 | − | 0.879341i | \(-0.342017\pi\) | |||||||
\(152\) | 0.386926 | − | 12.0271i | 0.0313838 | − | 0.975530i | ||||
\(153\) | −4.83152 | − | 7.14233i | −0.390605 | − | 0.577423i | ||||
\(154\) | −2.78105 | − | 4.93843i | −0.224104 | − | 0.397950i | ||||
\(155\) | 0.785940 | − | 0.321912i | 0.0631283 | − | 0.0258566i | ||||
\(156\) | 3.79286 | − | 0.862415i | 0.303672 | − | 0.0690484i | ||||
\(157\) | − | 3.80885i | − | 0.303980i | −0.988382 | − | 0.151990i | \(-0.951432\pi\) | ||
0.988382 | − | 0.151990i | \(-0.0485681\pi\) | |||||||
\(158\) | −19.2096 | − | 2.22745i | −1.52823 | − | 0.177207i | ||||
\(159\) | 7.42588 | − | 7.18073i | 0.588911 | − | 0.569469i | ||||
\(160\) | 1.58588 | + | 12.5493i | 0.125374 | + | 0.992109i | ||||
\(161\) | 4.26171 | − | 5.86574i | 0.335870 | − | 0.462285i | ||||
\(162\) | −2.31083 | + | 12.5164i | −0.181556 | + | 0.983381i | ||||
\(163\) | 7.51643 | − | 5.46100i | 0.588732 | − | 0.427739i | −0.253130 | − | 0.967432i | \(-0.581460\pi\) |
0.841862 | + | 0.539694i | \(0.181460\pi\) | |||||||
\(164\) | −2.19001 | + | 9.31639i | −0.171011 | + | 0.727488i | ||||
\(165\) | 7.35439 | + | 12.5795i | 0.572538 | + | 0.979316i | ||||
\(166\) | 16.1726 | + | 14.8788i | 1.25523 | + | 1.15482i | ||||
\(167\) | −18.1592 | − | 5.90028i | −1.40520 | − | 0.456578i | −0.494332 | − | 0.869273i | \(-0.664587\pi\) |
−0.910869 | + | 0.412696i | \(0.864587\pi\) | |||||||
\(168\) | −3.86603 | + | 3.50499i | −0.298271 | + | 0.270416i | ||||
\(169\) | 3.62761 | − | 11.1646i | 0.279047 | − | 0.858819i | ||||
\(170\) | −0.371241 | + | 9.08187i | −0.0284728 | + | 0.696548i | ||||
\(171\) | −10.5717 | + | 7.15135i | −0.808436 | + | 0.546877i | ||||
\(172\) | −12.0784 | − | 14.0070i | −0.920971 | − | 1.06803i | ||||
\(173\) | 9.69853 | + | 7.04639i | 0.737365 | + | 0.535727i | 0.891885 | − | 0.452263i | \(-0.149383\pi\) |
−0.154520 | + | 0.987990i | \(0.549383\pi\) | |||||||
\(174\) | 1.80590 | + | 5.12122i | 0.136905 | + | 0.388238i | ||||
\(175\) | 0.874739 | − | 5.25362i | 0.0661241 | − | 0.397137i | ||||
\(176\) | −10.5402 | + | 10.7420i | −0.794501 | + | 0.809709i | ||||
\(177\) | 9.57139 | + | 5.08096i | 0.719430 | + | 0.381908i | ||||
\(178\) | −10.1792 | + | 5.73237i | −0.762964 | + | 0.429659i | ||||
\(179\) | −0.944989 | − | 2.90838i | −0.0706318 | − | 0.217382i | 0.909509 | − | 0.415684i | \(-0.136458\pi\) |
−0.980141 | + | 0.198301i | \(0.936458\pi\) | |||||||
\(180\) | 9.79265 | − | 9.17082i | 0.729901 | − | 0.683553i | ||||
\(181\) | −2.51625 | + | 7.74423i | −0.187032 | + | 0.575624i | −0.999977 | − | 0.00671533i | \(-0.997862\pi\) |
0.812946 | + | 0.582339i | \(0.197862\pi\) | |||||||
\(182\) | −0.333920 | − | 1.65818i | −0.0247518 | − | 0.122913i | ||||
\(183\) | 1.01415 | − | 5.77417i | 0.0749679 | − | 0.426839i | ||||
\(184\) | −18.1093 | − | 6.53496i | −1.33503 | − | 0.481764i | ||||
\(185\) | −25.8206 | − | 6.30708i | −1.89837 | − | 0.463705i | ||||
\(186\) | 0.265420 | − | 0.891711i | 0.0194615 | − | 0.0653834i | ||||
\(187\) | −8.74898 | + | 6.35651i | −0.639789 | + | 0.464834i | ||||
\(188\) | 13.5039 | + | 8.18743i | 0.984875 | + | 0.597129i | ||||
\(189\) | 5.41624 | + | 1.13987i | 0.393974 | + | 0.0829131i | ||||
\(190\) | 13.4425 | + | 0.549490i | 0.975221 | + | 0.0398642i | ||||
\(191\) | −14.4015 | + | 10.4633i | −1.04205 | + | 0.757096i | −0.970685 | − | 0.240354i | \(-0.922736\pi\) |
−0.0713681 | + | 0.997450i | \(0.522736\pi\) | |||||||
\(192\) | 11.7959 | + | 7.27020i | 0.851299 | + | 0.524682i | ||||
\(193\) | − | 13.9013i | − | 1.00064i | −0.865841 | − | 0.500318i | \(-0.833216\pi\) | ||
0.865841 | − | 0.500318i | \(-0.166784\pi\) | |||||||
\(194\) | 16.2782 | + | 1.88754i | 1.16870 | + | 0.135517i | ||||
\(195\) | 0.927304 | + | 4.24877i | 0.0664056 | + | 0.304261i | ||||
\(196\) | −7.66070 | − | 8.88391i | −0.547193 | − | 0.634565i | ||||
\(197\) | −6.96834 | − | 21.4464i | −0.496474 | − | 1.52799i | −0.814647 | − | 0.579957i | \(-0.803069\pi\) |
0.318173 | − | 0.948033i | \(-0.396931\pi\) | |||||||
\(198\) | 15.7855 | + | 2.36967i | 1.12183 | + | 0.168405i | ||||
\(199\) | − | 2.15680i | − | 0.152892i | −0.997074 | − | 0.0764458i | \(-0.975643\pi\) | ||
0.997074 | − | 0.0764458i | \(-0.0243572\pi\) | |||||||
\(200\) | −14.0454 | + | 1.65101i | −0.993162 | + | 0.116744i | ||||
\(201\) | 15.6028 | − | 2.20350i | 1.10053 | − | 0.155423i | ||||
\(202\) | 5.96071 | − | 13.0108i | 0.419394 | − | 0.915436i | ||||
\(203\) | 2.24585 | − | 0.729722i | 0.157628 | − | 0.0512164i | ||||
\(204\) | 7.49294 | + | 6.55726i | 0.524611 | + | 0.459100i | ||||
\(205\) | −10.3944 | − | 2.53898i | −0.725973 | − | 0.177330i | ||||
\(206\) | −2.25781 | + | 19.4714i | −0.157309 | + | 1.35663i | ||||
\(207\) | 5.65490 | + | 19.6215i | 0.393043 | + | 1.36379i | ||||
\(208\) | −3.98236 | + | 2.07690i | −0.276127 | + | 0.144007i | ||||
\(209\) | 9.40855 | + | 12.9498i | 0.650803 | + | 0.895754i | ||||
\(210\) | −3.88097 | − | 4.35626i | −0.267812 | − | 0.300610i | ||||
\(211\) | 9.99024 | − | 13.7504i | 0.687756 | − | 0.946615i | −0.312238 | − | 0.950004i | \(-0.601079\pi\) |
0.999994 | + | 0.00338856i | \(0.00107862\pi\) | |||||||
\(212\) | −6.18405 | + | 10.1997i | −0.424722 | + | 0.700515i | ||||
\(213\) | 6.28258 | − | 6.07517i | 0.430475 | − | 0.416264i | ||||
\(214\) | 2.13899 | − | 4.66891i | 0.146219 | − | 0.319160i | ||||
\(215\) | 15.7771 | − | 13.3674i | 1.07599 | − | 0.911650i | ||||
\(216\) | −1.09498 | − | 14.6561i | −0.0745038 | − | 0.997221i | ||||
\(217\) | −0.384782 | − | 0.125023i | −0.0261207 | − | 0.00848714i | ||||
\(218\) | −14.2395 | + | 2.86751i | −0.964421 | + | 0.194212i | ||||
\(219\) | 2.76215 | + | 0.485131i | 0.186649 | + | 0.0327821i | ||||
\(220\) | −11.9070 | − | 11.8883i | −0.802771 | − | 0.801510i | ||||
\(221\) | −3.06949 | + | 0.997338i | −0.206476 | + | 0.0670882i | ||||
\(222\) | −23.1232 | + | 17.6945i | −1.55193 | + | 1.18758i | ||||
\(223\) | 1.28119 | + | 0.930840i | 0.0857949 | + | 0.0623336i | 0.629856 | − | 0.776712i | \(-0.283114\pi\) |
−0.544061 | + | 0.839046i | \(0.683114\pi\) | |||||||
\(224\) | 3.28805 | − | 5.04944i | 0.219692 | − | 0.337380i | ||||
\(225\) | 10.1577 | + | 11.0372i | 0.677181 | + | 0.735816i | ||||
\(226\) | 12.4350 | − | 2.50413i | 0.827166 | − | 0.166572i | ||||
\(227\) | 2.98415 | − | 4.10733i | 0.198065 | − | 0.272613i | −0.698419 | − | 0.715689i | \(-0.746113\pi\) |
0.896484 | + | 0.443076i | \(0.146113\pi\) | |||||||
\(228\) | 9.70570 | − | 11.0906i | 0.642775 | − | 0.734496i | ||||
\(229\) | −4.27109 | − | 13.1451i | −0.282242 | − | 0.868650i | −0.987212 | − | 0.159414i | \(-0.949040\pi\) |
0.704970 | − | 0.709237i | \(-0.250960\pi\) | |||||||
\(230\) | 7.48207 | − | 20.1825i | 0.493353 | − | 1.33079i | ||||
\(231\) | 1.20078 | − | 6.83679i | 0.0790056 | − | 0.449828i | ||||
\(232\) | −3.52061 | − | 5.18872i | −0.231139 | − | 0.340656i | ||||
\(233\) | 2.07923 | − | 6.39921i | 0.136215 | − | 0.419226i | −0.859562 | − | 0.511031i | \(-0.829264\pi\) |
0.995777 | + | 0.0918049i | \(0.0292636\pi\) | |||||||
\(234\) | 4.26195 | + | 2.12840i | 0.278613 | + | 0.139138i | ||||
\(235\) | −9.28474 | + | 15.0177i | −0.605670 | + | 0.979646i | ||||
\(236\) | −12.1808 | − | 2.86335i | −0.792901 | − | 0.186388i | ||||
\(237\) | −16.4641 | − | 17.0262i | −1.06946 | − | 1.10597i | ||||
\(238\) | 2.93161 | − | 3.18651i | 0.190028 | − | 0.206551i | ||||
\(239\) | 11.6229 | + | 8.44456i | 0.751825 | + | 0.546233i | 0.896392 | − | 0.443262i | \(-0.146179\pi\) |
−0.144567 | + | 0.989495i | \(0.546179\pi\) | |||||||
\(240\) | −8.24269 | + | 13.1171i | −0.532063 | + | 0.846705i | ||||
\(241\) | −19.7088 | + | 14.3193i | −1.26955 | + | 0.922385i | −0.999185 | − | 0.0403719i | \(-0.987146\pi\) |
−0.270369 | + | 0.962757i | \(0.587146\pi\) | |||||||
\(242\) | 0.514005 | − | 4.43279i | 0.0330415 | − | 0.284950i | ||||
\(243\) | −11.9078 | + | 10.0601i | −0.763884 | + | 0.645354i | ||||
\(244\) | 0.563110 | + | 6.74603i | 0.0360494 | + | 0.431870i | ||||
\(245\) | 10.0066 | − | 8.47825i | 0.639299 | − | 0.541655i | ||||
\(246\) | −9.30849 | + | 7.12312i | −0.593488 | + | 0.454154i | ||||
\(247\) | 1.47621 | + | 4.54329i | 0.0939287 | + | 0.289083i | ||||
\(248\) | −0.0345436 | + | 1.07375i | −0.00219352 | + | 0.0681830i | ||||
\(249\) | 3.76368 | + | 26.6502i | 0.238513 | + | 1.68889i | ||||
\(250\) | −1.70929 | − | 15.7187i | −0.108105 | − | 0.994140i | ||||
\(251\) | 14.4153 | 0.909884 | 0.454942 | − | 0.890521i | \(-0.349660\pi\) | ||||
0.454942 | + | 0.890521i | \(0.349660\pi\) | |||||||
\(252\) | −6.38324 | + | 0.317606i | −0.402106 | + | 0.0200073i | ||||
\(253\) | 24.3560 | − | 7.91375i | 1.53125 | − | 0.497533i | ||||
\(254\) | −6.45964 | − | 11.4707i | −0.405314 | − | 0.719734i | ||||
\(255\) | −7.40380 | + | 8.31331i | −0.463644 | + | 0.520600i | ||||
\(256\) | −15.3079 | − | 4.65489i | −0.956744 | − | 0.290931i | ||||
\(257\) | −26.6349 | −1.66144 | −0.830718 | − | 0.556693i | \(-0.812070\pi\) | ||||
−0.830718 | + | 0.556693i | \(0.812070\pi\) | |||||||
\(258\) | −0.563025 | − | 22.6453i | −0.0350524 | − | 1.40984i | ||||
\(259\) | 7.44238 | + | 10.2436i | 0.462447 | + | 0.636503i | ||||
\(260\) | −2.28325 | − | 4.47244i | −0.141601 | − | 0.277369i | ||||
\(261\) | −2.26629 | + | 6.25269i | −0.140280 | + | 0.387032i | ||||
\(262\) | −7.05959 | + | 7.67342i | −0.436143 | + | 0.474066i | ||||
\(263\) | 8.91474 | + | 12.2701i | 0.549707 | + | 0.756606i | 0.989972 | − | 0.141261i | \(-0.0451158\pi\) |
−0.440266 | + | 0.897867i | \(0.645116\pi\) | |||||||
\(264\) | −18.3241 | + | 1.98928i | −1.12777 | + | 0.122432i | ||||
\(265\) | −11.3430 | − | 7.01286i | −0.696796 | − | 0.430797i | ||||
\(266\) | −4.71650 | − | 4.33921i | −0.289187 | − | 0.266054i | ||||
\(267\) | −14.0921 | − | 2.47508i | −0.862425 | − | 0.151472i | ||||
\(268\) | −16.7771 | + | 7.04264i | −1.02482 | + | 0.430198i | ||||
\(269\) | −15.2945 | − | 4.96949i | −0.932523 | − | 0.302995i | −0.196929 | − | 0.980418i | \(-0.563097\pi\) |
−0.735594 | + | 0.677423i | \(0.763097\pi\) | |||||||
\(270\) | 16.3960 | − | 1.08171i | 0.997831 | − | 0.0658308i | ||||
\(271\) | −13.2406 | + | 4.30213i | −0.804308 | + | 0.261336i | −0.682185 | − | 0.731179i | \(-0.738970\pi\) |
−0.122123 | + | 0.992515i | \(0.538970\pi\) | |||||||
\(272\) | −10.2932 | − | 5.12234i | −0.624119 | − | 0.310588i | ||||
\(273\) | 0.971339 | − | 1.82978i | 0.0587881 | − | 0.110744i | ||||
\(274\) | −11.6871 | + | 2.35352i | −0.706045 | + | 0.142181i | ||||
\(275\) | 13.4068 | − | 13.1964i | 0.808460 | − | 0.795772i | ||||
\(276\) | −12.0771 | − | 20.2515i | −0.726956 | − | 1.21899i | ||||
\(277\) | −9.08309 | + | 12.5018i | −0.545750 | + | 0.751161i | −0.989428 | − | 0.145026i | \(-0.953673\pi\) |
0.443678 | + | 0.896186i | \(0.353673\pi\) | |||||||
\(278\) | −5.37093 | + | 3.02461i | −0.322127 | + | 0.181404i | ||||
\(279\) | 0.943808 | − | 0.638451i | 0.0565043 | − | 0.0382231i | ||||
\(280\) | 5.61327 | + | 3.72510i | 0.335457 | + | 0.222617i | ||||
\(281\) | 22.8613 | + | 7.42807i | 1.36379 | + | 0.443122i | 0.897306 | − | 0.441409i | \(-0.145521\pi\) |
0.466482 | + | 0.884530i | \(0.345521\pi\) | |||||||
\(282\) | 6.43214 | + | 18.2404i | 0.383028 | + | 1.08620i | ||||
\(283\) | −7.43523 | + | 22.8833i | −0.441978 | + | 1.36027i | 0.443785 | + | 0.896133i | \(0.353635\pi\) |
−0.885764 | + | 0.464137i | \(0.846365\pi\) | |||||||
\(284\) | −5.23194 | + | 8.62930i | −0.310458 | + | 0.512054i | ||||
\(285\) | 12.3049 | + | 10.9587i | 0.728880 | + | 0.649137i | ||||
\(286\) | 2.48840 | − | 5.43158i | 0.147142 | − | 0.321176i | ||||
\(287\) | 2.99601 | + | 4.12365i | 0.176849 | + | 0.243411i | ||||
\(288\) | 5.52671 | + | 16.0454i | 0.325665 | + | 0.945485i | ||||
\(289\) | 7.06934 | + | 5.13617i | 0.415843 | + | 0.302128i | ||||
\(290\) | 5.83517 | − | 3.88558i | 0.342653 | − | 0.228169i | ||||
\(291\) | 13.9516 | + | 14.4279i | 0.817857 | + | 0.845780i | ||||
\(292\) | −3.22705 | + | 0.269371i | −0.188849 | + | 0.0157638i | ||||
\(293\) | −10.1696 | −0.594114 | −0.297057 | − | 0.954860i | \(-0.596005\pi\) | ||||
−0.297057 | + | 0.954860i | \(0.596005\pi\) | |||||||
\(294\) | −0.357097 | − | 14.3627i | −0.0208263 | − | 0.837651i | ||||
\(295\) | 3.31961 | − | 13.5902i | 0.193275 | − | 0.791251i | ||||
\(296\) | 20.6263 | − | 26.5505i | 1.19888 | − | 1.54322i | ||||
\(297\) | 13.1106 | + | 14.5020i | 0.760756 | + | 0.841493i | ||||
\(298\) | −0.218929 | + | 0.477868i | −0.0126822 | + | 0.0276822i | ||||
\(299\) | 7.64294 | 0.442002 | ||||||||
\(300\) | −14.5847 | − | 9.34276i | −0.842047 | − | 0.539405i | ||||
\(301\) | −9.85063 | −0.567781 | ||||||||
\(302\) | −12.7295 | + | 27.7855i | −0.732502 | + | 1.59888i | ||||
\(303\) | 15.7485 | − | 7.69416i | 0.904729 | − | 0.442018i | ||||
\(304\) | −7.58181 | + | 15.2355i | −0.434847 | + | 0.873815i | ||||
\(305\) | −7.54748 | + | 0.563978i | −0.432167 | + | 0.0322933i | ||||
\(306\) | 2.00489 | + | 12.0288i | 0.114612 | + | 0.687644i | ||||
\(307\) | −3.03270 | −0.173086 | −0.0865428 | − | 0.996248i | \(-0.527582\pi\) | ||||
−0.0865428 | + | 0.996248i | \(0.527582\pi\) | |||||||
\(308\) | 0.666740 | + | 7.98750i | 0.0379910 | + | 0.455130i | ||||
\(309\) | −17.2582 | + | 16.6884i | −0.981783 | + | 0.949371i | ||||
\(310\) | −1.20011 | − | 0.0490568i | −0.0681614 | − | 0.00278624i | ||||
\(311\) | −22.9523 | − | 16.6759i | −1.30151 | − | 0.945601i | −0.301539 | − | 0.953454i | \(-0.597500\pi\) |
−0.999969 | + | 0.00785286i | \(0.997500\pi\) | |||||||
\(312\) | −5.38450 | − | 1.12529i | −0.304837 | − | 0.0637070i | ||||
\(313\) | 0.692098 | + | 0.952591i | 0.0391197 | + | 0.0538436i | 0.828129 | − | 0.560538i | \(-0.189406\pi\) |
−0.789009 | + | 0.614382i | \(0.789406\pi\) | |||||||
\(314\) | −2.24352 | + | 4.89707i | −0.126609 | + | 0.276358i | ||||
\(315\) | −0.293033 | − | 7.13950i | −0.0165105 | − | 0.402265i | ||||
\(316\) | 23.3859 | + | 14.1789i | 1.31556 | + | 0.797623i | ||||
\(317\) | 0.153474 | − | 0.472345i | 0.00861997 | − | 0.0265295i | −0.946654 | − | 0.322252i | \(-0.895560\pi\) |
0.955274 | + | 0.295722i | \(0.0955603\pi\) | |||||||
\(318\) | −13.7772 | + | 4.85826i | −0.772585 | + | 0.272438i | ||||
\(319\) | 7.93261 | + | 2.57746i | 0.444141 | + | 0.144310i | ||||
\(320\) | 5.35293 | − | 17.0689i | 0.299238 | − | 0.954179i | ||||
\(321\) | 5.65134 | − | 2.76104i | 0.315427 | − | 0.154106i | ||||
\(322\) | −8.93440 | + | 5.03136i | −0.497895 | + | 0.280387i | ||||
\(323\) | −7.18785 | + | 9.89322i | −0.399942 | + | 0.550474i | ||||
\(324\) | 10.3436 | − | 14.7313i | 0.574643 | − | 0.818404i | ||||
\(325\) | 5.02234 | − | 2.50918i | 0.278589 | − | 0.139184i | ||||
\(326\) | −12.8806 | + | 2.59386i | −0.713392 | + | 0.143661i | ||||
\(327\) | −15.7131 | − | 8.34129i | −0.868937 | − | 0.461275i | ||||
\(328\) | 8.30334 | − | 10.6882i | 0.458475 | − | 0.590156i | ||||
\(329\) | 7.99913 | − | 2.59908i | 0.441006 | − | 0.143292i | ||||
\(330\) | −2.04588 | − | 20.5056i | −0.112622 | − | 1.12879i | ||||
\(331\) | −5.77818 | − | 1.87744i | −0.317597 | − | 0.103194i | 0.145880 | − | 0.989302i | \(-0.453399\pi\) |
−0.463478 | + | 0.886109i | \(0.653399\pi\) | |||||||
\(332\) | −12.0291 | − | 28.6560i | −0.660184 | − | 1.57270i | ||||
\(333\) | −35.6404 | − | 1.19670i | −1.95308 | − | 0.0655789i | ||||
\(334\) | 19.8720 | + | 18.2823i | 1.08735 | + | 1.00036i | ||||
\(335\) | −7.71053 | − | 18.8251i | −0.421271 | − | 1.02852i | ||||
\(336\) | 7.03512 | − | 2.22919i | 0.383797 | − | 0.121612i | ||||
\(337\) | 5.19448 | + | 7.14958i | 0.282961 | + | 0.389463i | 0.926712 | − | 0.375773i | \(-0.122623\pi\) |
−0.643751 | + | 0.765235i | \(0.722623\pi\) | |||||||
\(338\) | −11.2404 | + | 12.2177i | −0.611395 | + | 0.664556i | ||||
\(339\) | 13.7219 | + | 7.28426i | 0.745272 | + | 0.395627i | ||||
\(340\) | 5.82679 | − | 11.4580i | 0.316002 | − | 0.621395i | ||||
\(341\) | −0.839968 | − | 1.15612i | −0.0454868 | − | 0.0626072i | ||||
\(342\) | 17.8044 | − | 2.96752i | 0.962754 | − | 0.160465i | ||||
\(343\) | −13.7041 | −0.739950 | ||||||||
\(344\) | 7.27878 | + | 25.1235i | 0.392445 | + | 1.35457i | ||||
\(345\) | 22.7584 | − | 13.3052i | 1.22527 | − | 0.716330i | ||||
\(346\) | −8.31894 | − | 14.7723i | −0.447229 | − | 0.794164i | ||||
\(347\) | 29.8214 | − | 9.68958i | 1.60090 | − | 0.520164i | 0.633570 | − | 0.773686i | \(-0.281589\pi\) |
0.967330 | + | 0.253522i | \(0.0815890\pi\) | |||||||
\(348\) | 0.694684 | − | 7.64812i | 0.0372389 | − | 0.409982i | ||||
\(349\) | 10.4112 | 0.557300 | 0.278650 | − | 0.960393i | \(-0.410113\pi\) | ||||
0.278650 | + | 0.960393i | \(0.410113\pi\) | |||||||
\(350\) | −4.21919 | + | 6.23938i | −0.225525 | + | 0.333509i | ||||
\(351\) | 2.38383 | + | 5.32530i | 0.127240 | + | 0.284243i | ||||
\(352\) | 19.8790 | − | 7.60257i | 1.05956 | − | 0.405218i | ||||
\(353\) | 2.86998 | + | 8.83290i | 0.152754 | + | 0.470128i | 0.997926 | − | 0.0643656i | \(-0.0205024\pi\) |
−0.845173 | + | 0.534494i | \(0.820502\pi\) | |||||||
\(354\) | −9.31318 | − | 12.1705i | −0.494990 | − | 0.646852i | ||||
\(355\) | −9.59662 | − | 5.93315i | −0.509336 | − | 0.314899i | ||||
\(356\) | 16.4640 | − | 1.37430i | 0.872592 | − | 0.0728377i | ||||
\(357\) | 5.25094 | − | 0.741565i | 0.277909 | − | 0.0392478i | ||||
\(358\) | −0.498138 | + | 4.29595i | −0.0263274 | + | 0.227048i | ||||
\(359\) | 20.5019 | − | 14.8955i | 1.08205 | − | 0.786155i | 0.104010 | − | 0.994576i | \(-0.466833\pi\) |
0.978039 | + | 0.208422i | \(0.0668327\pi\) | |||||||
\(360\) | −17.9924 | + | 6.02285i | −0.948281 | + | 0.317432i | ||||
\(361\) | −0.727921 | − | 0.528866i | −0.0383116 | − | 0.0278350i | ||||
\(362\) | 7.79674 | − | 8.47467i | 0.409787 | − | 0.445419i | ||||
\(363\) | 3.92894 | − | 3.79923i | 0.206216 | − | 0.199408i | ||||
\(364\) | −0.547393 | + | 2.32863i | −0.0286912 | + | 0.122053i | ||||
\(365\) | −0.269786 | − | 3.61044i | −0.0141213 | − | 0.188979i | ||||
\(366\) | −4.70505 | + | 6.82653i | −0.245937 | + | 0.356828i | ||||
\(367\) | 7.51829 | − | 23.1389i | 0.392451 | − | 1.20784i | −0.538477 | − | 0.842640i | \(-0.681000\pi\) |
0.930929 | − | 0.365201i | \(-0.119000\pi\) | |||||||
\(368\) | 19.4340 | + | 19.0689i | 1.01307 | + | 0.994037i | ||||
\(369\) | −14.3474 | − | 0.481745i | −0.746896 | − | 0.0250786i | ||||
\(370\) | 29.4827 | + | 23.3181i | 1.53273 | + | 1.21225i | ||||
\(371\) | 1.96311 | + | 6.04183i | 0.101920 | + | 0.313676i | ||||
\(372\) | −0.866496 | + | 0.990140i | −0.0449257 | + | 0.0513363i | ||||
\(373\) | −5.54884 | + | 7.63732i | −0.287308 | + | 0.395445i | −0.928137 | − | 0.372238i | \(-0.878591\pi\) |
0.640830 | + | 0.767683i | \(0.278591\pi\) | |||||||
\(374\) | 14.9928 | − | 3.01921i | 0.775259 | − | 0.156120i | ||||
\(375\) | 10.5869 | − | 16.2147i | 0.546705 | − | 0.837325i | ||||
\(376\) | −12.5395 | − | 18.4808i | −0.646674 | − | 0.953077i | ||||
\(377\) | 2.01385 | + | 1.46315i | 0.103719 | + | 0.0753561i | ||||
\(378\) | −6.29229 | − | 4.65586i | −0.323641 | − | 0.239472i | ||||
\(379\) | −16.2370 | + | 5.27573i | −0.834040 | + | 0.270996i | −0.694746 | − | 0.719255i | \(-0.744483\pi\) |
−0.139294 | + | 0.990251i | \(0.544483\pi\) | |||||||
\(380\) | −16.9594 | − | 8.62450i | −0.870001 | − | 0.442427i | ||||
\(381\) | 2.78909 | − | 15.8800i | 0.142890 | − | 0.813559i | ||||
\(382\) | 24.6792 | − | 4.96984i | 1.26270 | − | 0.254279i | ||||
\(383\) | 26.1325 | + | 8.49096i | 1.33531 | + | 0.433868i | 0.887725 | − | 0.460374i | \(-0.152285\pi\) |
0.447583 | + | 0.894242i | \(0.352285\pi\) | |||||||
\(384\) | −10.8838 | − | 16.2955i | −0.555410 | − | 0.831576i | ||||
\(385\) | −8.93645 | + | 0.667767i | −0.455443 | + | 0.0340326i | ||||
\(386\) | −8.18826 | + | 17.8730i | −0.416772 | + | 0.909712i | ||||
\(387\) | 17.0511 | − | 21.8849i | 0.866758 | − | 1.11247i | ||||
\(388\) | −19.8171 | − | 12.0151i | −1.00606 | − | 0.609976i | ||||
\(389\) | 3.37798 | − | 4.64939i | 0.171270 | − | 0.235733i | −0.714750 | − | 0.699380i | \(-0.753459\pi\) |
0.886020 | + | 0.463647i | \(0.153459\pi\) | |||||||
\(390\) | 1.31041 | − | 6.00888i | 0.0663549 | − | 0.304272i | ||||
\(391\) | 11.4999 | + | 15.8283i | 0.581576 | + | 0.800470i | ||||
\(392\) | 4.61655 | + | 15.9345i | 0.233171 | + | 0.804814i | ||||
\(393\) | −12.6448 | + | 1.78576i | −0.637844 | + | 0.0900796i | ||||
\(394\) | −3.67327 | + | 31.6783i | −0.185056 | + | 1.59593i | ||||
\(395\) | −16.0792 | + | 26.0074i | −0.809031 | + | 1.30857i | ||||
\(396\) | −18.8998 | − | 12.3448i | −0.949749 | − | 0.620352i | ||||
\(397\) | 24.7422 | − | 8.03924i | 1.24178 | − | 0.403478i | 0.386809 | − | 0.922160i | \(-0.373577\pi\) |
0.854967 | + | 0.518682i | \(0.173577\pi\) | |||||||
\(398\) | −1.27042 | + | 2.77302i | −0.0636803 | + | 0.138999i | ||||
\(399\) | −1.09762 | − | 7.77216i | −0.0549499 | − | 0.389094i | ||||
\(400\) | 19.0308 | + | 6.15045i | 0.951541 | + | 0.307522i | ||||
\(401\) | − | 34.6984i | − | 1.73275i | −0.499391 | − | 0.866376i | \(-0.666443\pi\) | ||
0.499391 | − | 0.866376i | \(-0.333557\pi\) | |||||||
\(402\) | −21.3585 | − | 6.35741i | −1.06527 | − | 0.317079i | ||||
\(403\) | −0.131791 | − | 0.405612i | −0.00656499 | − | 0.0202050i | ||||
\(404\) | −15.3275 | + | 13.2171i | −0.762570 | + | 0.657573i | ||||
\(405\) | 16.3689 | + | 11.7072i | 0.813377 | + | 0.581737i | ||||
\(406\) | −3.31734 | − | 0.384663i | −0.164637 | − | 0.0190905i | ||||
\(407\) | 44.7227i | 2.21682i | ||||||||
\(408\) | −5.77132 | − | 12.8443i | −0.285723 | − | 0.635887i | ||||
\(409\) | −2.82912 | + | 2.05548i | −0.139891 | + | 0.101637i | −0.655530 | − | 0.755169i | \(-0.727555\pi\) |
0.515639 | + | 0.856806i | \(0.327555\pi\) | |||||||
\(410\) | 11.8686 | + | 9.38696i | 0.586147 | + | 0.463589i | ||||
\(411\) | −12.8966 | − | 6.84614i | −0.636142 | − | 0.337695i | ||||
\(412\) | 14.3721 | − | 23.7046i | 0.708061 | − | 1.16784i | ||||
\(413\) | −5.39149 | + | 3.91715i | −0.265298 | + | 0.192750i | ||||
\(414\) | 4.28711 | − | 28.5585i | 0.210700 | − | 1.40357i | ||||
\(415\) | 32.1540 | − | 13.1699i | 1.57838 | − | 0.646486i | ||||
\(416\) | 6.34351 | − | 0.324562i | 0.311016 | − | 0.0159130i | ||||
\(417\) | −7.43554 | − | 1.30594i | −0.364120 | − | 0.0639523i | ||||
\(418\) | −4.46887 | − | 22.1915i | −0.218579 | − | 1.08542i | ||||
\(419\) | −4.29638 | + | 13.2229i | −0.209892 | + | 0.645981i | 0.789585 | + | 0.613641i | \(0.210296\pi\) |
−0.999477 | + | 0.0323397i | \(0.989704\pi\) | |||||||
\(420\) | 2.42383 | + | 7.88688i | 0.118271 | + | 0.384840i | ||||
\(421\) | −6.26295 | − | 19.2754i | −0.305238 | − | 0.939425i | −0.979588 | − | 0.201014i | \(-0.935576\pi\) |
0.674351 | − | 0.738411i | \(-0.264424\pi\) | |||||||
\(422\) | −20.9439 | + | 11.7944i | −1.01953 | + | 0.574144i | ||||
\(423\) | −8.07194 | + | 22.2704i | −0.392471 | + | 1.08282i | ||||
\(424\) | 13.9588 | − | 9.47120i | 0.677898 | − | 0.459962i | ||||
\(425\) | 12.7533 | + | 6.62568i | 0.618624 | + | 0.321393i | ||||
\(426\) | −11.6560 | + | 4.11027i | −0.564735 | + | 0.199143i | ||||
\(427\) | 2.91683 | + | 2.11920i | 0.141155 | + | 0.102555i | ||||
\(428\) | −5.50024 | + | 4.74292i | −0.265864 | + | 0.229258i | ||||
\(429\) | 6.57450 | − | 3.21206i | 0.317420 | − | 0.155080i | ||||
\(430\) | −28.1586 | + | 7.89340i | −1.35793 | + | 0.380654i | ||||
\(431\) | 2.67383 | − | 8.22920i | 0.128794 | − | 0.396386i | −0.865779 | − | 0.500426i | \(-0.833177\pi\) |
0.994573 | + | 0.104039i | \(0.0331768\pi\) | |||||||
\(432\) | −7.22504 | + | 19.4884i | −0.347615 | + | 0.937637i | ||||
\(433\) | 31.8729 | + | 10.3561i | 1.53172 | + | 0.497684i | 0.949076 | − | 0.315047i | \(-0.102020\pi\) |
0.582639 | + | 0.812731i | \(0.302020\pi\) | |||||||
\(434\) | 0.421075 | + | 0.387391i | 0.0202123 | + | 0.0185954i | ||||
\(435\) | 8.54378 | + | 0.850994i | 0.409643 | + | 0.0408020i | ||||
\(436\) | 19.9969 | + | 4.70069i | 0.957677 | + | 0.225122i | ||||
\(437\) | 23.4281 | − | 17.0215i | 1.12072 | − | 0.814251i | ||||
\(438\) | −3.26556 | − | 2.25072i | −0.156035 | − | 0.107544i | ||||
\(439\) | −11.4376 | + | 15.7426i | −0.545889 | + | 0.751351i | −0.989447 | − | 0.144894i | \(-0.953716\pi\) |
0.443559 | + | 0.896245i | \(0.353716\pi\) | |||||||
\(440\) | 8.30638 | + | 22.2985i | 0.395991 | + | 1.06304i | ||||
\(441\) | 10.8146 | − | 13.8805i | 0.514982 | − | 0.660974i | ||||
\(442\) | 4.53393 | + | 0.525733i | 0.215657 | + | 0.0250066i | ||||
\(443\) | − | 13.0563i | − | 0.620325i | −0.950684 | − | 0.310163i | \(-0.899616\pi\) | ||
0.950684 | − | 0.310163i | \(-0.100384\pi\) | |||||||
\(444\) | 40.1523 | − | 9.12977i | 1.90554 | − | 0.433280i | ||||
\(445\) | 1.37642 | + | 18.4200i | 0.0652484 | + | 0.873192i | ||||
\(446\) | −1.09895 | − | 1.95145i | −0.0520366 | − | 0.0924037i | ||||
\(447\) | −0.578422 | + | 0.282596i | −0.0273584 | + | 0.0133663i | ||||
\(448\) | −7.20174 | + | 4.55535i | −0.340250 | + | 0.215220i | ||||
\(449\) | − | 18.7063i | − | 0.882806i | −0.897309 | − | 0.441403i | \(-0.854481\pi\) | ||
0.897309 | − | 0.441403i | \(-0.145519\pi\) | |||||||
\(450\) | −6.55860 | − | 20.1739i | −0.309175 | − | 0.951005i | ||||
\(451\) | 18.0036i | 0.847755i | ||||||||
\(452\) | −17.4628 | − | 4.10501i | −0.821382 | − | 0.193083i | ||||
\(453\) | −33.6321 | + | 16.4314i | −1.58018 | + | 0.772016i | ||||
\(454\) | −6.25609 | + | 3.52308i | −0.293613 | + | 0.165346i | ||||
\(455\) | −2.59806 | − | 0.634616i | −0.121799 | − | 0.0297513i | ||||
\(456\) | −19.0114 | + | 8.54239i | −0.890290 | + | 0.400034i | ||||
\(457\) | 35.1109i | 1.64242i | 0.570627 | + | 0.821210i | \(0.306700\pi\) | ||||
−0.570627 | + | 0.821210i | \(0.693300\pi\) | |||||||
\(458\) | −2.25145 | + | 19.4165i | −0.105203 | + | 0.907274i | ||||
\(459\) | −7.44170 | + | 12.9495i | −0.347349 | + | 0.604432i | ||||
\(460\) | −21.5078 | + | 21.5416i | −1.00281 | + | 1.00438i | ||||
\(461\) | −3.62536 | + | 4.98988i | −0.168850 | + | 0.232402i | −0.885053 | − | 0.465490i | \(-0.845878\pi\) |
0.716203 | + | 0.697892i | \(0.245878\pi\) | |||||||
\(462\) | −5.57092 | + | 8.08282i | −0.259183 | + | 0.376047i | ||||
\(463\) | 14.6195 | − | 10.6217i | 0.679425 | − | 0.493631i | −0.193742 | − | 0.981053i | \(-0.562062\pi\) |
0.873167 | + | 0.487421i | \(0.162062\pi\) | |||||||
\(464\) | 1.47017 | + | 8.74492i | 0.0682510 | + | 0.405973i | ||||
\(465\) | −1.09855 | − | 0.978360i | −0.0509438 | − | 0.0453703i | ||||
\(466\) | −6.44260 | + | 7.00279i | −0.298448 | + | 0.324398i | ||||
\(467\) | −30.6430 | − | 9.95653i | −1.41799 | − | 0.460733i | −0.503028 | − | 0.864270i | \(-0.667781\pi\) |
−0.914963 | + | 0.403537i | \(0.867781\pi\) | |||||||
\(468\) | −4.22594 | − | 5.24691i | −0.195344 | − | 0.242539i | ||||
\(469\) | −2.99460 | + | 9.21642i | −0.138278 | + | 0.425575i | ||||
\(470\) | 20.7833 | − | 13.8394i | 0.958663 | − | 0.638363i | ||||
\(471\) | −5.92752 | + | 2.89597i | −0.273126 | + | 0.133439i | ||||
\(472\) | 13.9743 | + | 10.8563i | 0.643221 | + | 0.499700i | ||||
\(473\) | −28.1486 | − | 20.4511i | −1.29427 | − | 0.940344i | ||||
\(474\) | 11.1391 | + | 31.5885i | 0.511635 | + | 1.45091i | ||||
\(475\) | 9.80697 | − | 18.8767i | 0.449975 | − | 0.866122i | ||||
\(476\) | −5.64614 | + | 2.37012i | −0.258790 | + | 0.108634i | ||||
\(477\) | −16.8211 | − | 6.09682i | −0.770184 | − | 0.279154i | ||||
\(478\) | −9.96961 | − | 17.7035i | −0.456000 | − | 0.809738i | ||||
\(479\) | −3.14794 | − | 9.68838i | −0.143833 | − | 0.442673i | 0.853026 | − | 0.521869i | \(-0.174765\pi\) |
−0.996859 | + | 0.0791954i | \(0.974765\pi\) | |||||||
\(480\) | 18.3240 | − | 12.0096i | 0.836374 | − | 0.548159i | ||||
\(481\) | −4.12449 | + | 12.6939i | −0.188061 | + | 0.578791i | ||||
\(482\) | 33.7742 | − | 6.80135i | 1.53837 | − | 0.309793i | ||||
\(483\) | −12.3688 | − | 2.17240i | −0.562801 | − | 0.0988476i | ||||
\(484\) | −3.27190 | + | 5.39651i | −0.148723 | + | 0.245296i | ||||
\(485\) | 13.6254 | − | 22.0386i | 0.618700 | − | 1.00072i | ||||
\(486\) | 21.2356 | − | 5.92030i | 0.963266 | − | 0.268550i | ||||
\(487\) | −4.70083 | + | 3.41535i | −0.213015 | + | 0.154764i | −0.689177 | − | 0.724593i | \(-0.742028\pi\) |
0.476162 | + | 0.879358i | \(0.342028\pi\) | |||||||
\(488\) | 3.24961 | − | 9.00511i | 0.147103 | − | 0.407642i | ||||
\(489\) | −14.2136 | − | 7.54528i | −0.642761 | − | 0.341209i | ||||
\(490\) | −17.8595 | + | 5.00637i | −0.806810 | + | 0.226165i | ||||
\(491\) | −15.1802 | + | 11.0290i | −0.685071 | + | 0.497734i | −0.875036 | − | 0.484057i | \(-0.839163\pi\) |
0.189965 | + | 0.981791i | \(0.439163\pi\) | |||||||
\(492\) | 16.1637 | − | 3.67528i | 0.728717 | − | 0.165695i | ||||
\(493\) | 6.37215i | 0.286987i | ||||||||
\(494\) | 0.778161 | − | 6.71088i | 0.0350111 | − | 0.301937i | ||||
\(495\) | 13.9851 | − | 21.0098i | 0.628585 | − | 0.944320i | ||||
\(496\) | 0.676881 | − | 1.36018i | 0.0303929 | − | 0.0610738i | ||||
\(497\) | 1.66086 | + | 5.11161i | 0.0744999 | + | 0.229287i | ||||
\(498\) | 10.8587 | − | 36.4813i | 0.486592 | − | 1.63476i | ||||
\(499\) | − | 12.9825i | − | 0.581176i | −0.956848 | − | 0.290588i | \(-0.906149\pi\) | ||
0.956848 | − | 0.290588i | \(-0.0938510\pi\) | |||||||
\(500\) | −7.06114 | + | 21.2165i | −0.315784 | + | 0.948831i | ||||
\(501\) | 4.62461 | + | 32.7463i | 0.206612 | + | 1.46300i | ||||
\(502\) | −18.5338 | − | 8.49102i | −0.827206 | − | 0.378973i | ||||
\(503\) | −16.8618 | + | 5.47872i | −0.751828 | + | 0.244284i | −0.659768 | − | 0.751470i | \(-0.729345\pi\) |
−0.0920606 | + | 0.995753i | \(0.529345\pi\) | |||||||
\(504\) | 8.39406 | + | 3.35156i | 0.373901 | + | 0.149291i | ||||
\(505\) | −14.6276 | − | 17.2645i | −0.650918 | − | 0.768258i | ||||
\(506\) | −35.9761 | − | 4.17162i | −1.59933 | − | 0.185451i | ||||
\(507\) | −20.1331 | + | 2.84330i | −0.894143 | + | 0.126276i | ||||
\(508\) | 1.54866 | + | 18.5528i | 0.0687106 | + | 0.823149i | ||||
\(509\) | −7.18389 | − | 9.88778i | −0.318420 | − | 0.438268i | 0.619564 | − | 0.784946i | \(-0.287310\pi\) |
−0.937984 | + | 0.346678i | \(0.887310\pi\) | |||||||
\(510\) | 14.4159 | − | 6.32744i | 0.638347 | − | 0.280184i | ||||
\(511\) | −1.01375 | + | 1.39530i | −0.0448455 | + | 0.0617246i | ||||
\(512\) | 16.9396 | + | 15.0016i | 0.748633 | + | 0.662985i | ||||
\(513\) | 19.1672 | + | 11.0148i | 0.846252 | + | 0.486315i | ||||
\(514\) | 34.2446 | + | 15.6887i | 1.51047 | + | 0.691999i | ||||
\(515\) | 26.3618 | + | 16.2983i | 1.16164 | + | 0.718188i | ||||
\(516\) | −12.6149 | + | 29.4469i | −0.555338 | + | 1.29633i | ||||
\(517\) | 28.2539 | + | 9.18023i | 1.24260 | + | 0.403746i | ||||
\(518\) | −3.53498 | − | 17.5540i | −0.155318 | − | 0.771278i | ||||
\(519\) | 3.59189 | − | 20.4509i | 0.157666 | − | 0.897693i | ||||
\(520\) | 0.301195 | + | 7.09515i | 0.0132083 | + | 0.311143i | ||||
\(521\) | −24.6446 | + | 8.00751i | −1.07970 | + | 0.350815i | −0.794258 | − | 0.607581i | \(-0.792140\pi\) |
−0.285441 | + | 0.958396i | \(0.592140\pi\) | |||||||
\(522\) | 6.59681 | − | 6.70422i | 0.288734 | − | 0.293436i | ||||
\(523\) | 20.8125 | + | 15.1212i | 0.910066 | + | 0.661202i | 0.941032 | − | 0.338318i | \(-0.109858\pi\) |
−0.0309652 | + | 0.999520i | \(0.509858\pi\) | |||||||
\(524\) | 13.5964 | − | 5.70748i | 0.593963 | − | 0.249332i | ||||
\(525\) | −8.84102 | + | 2.63315i | −0.385854 | + | 0.114920i | ||||
\(526\) | −4.23432 | − | 21.0268i | −0.184625 | − | 0.916812i | ||||
\(527\) | 0.641709 | − | 0.883237i | 0.0279533 | − | 0.0384744i | ||||
\(528\) | 24.7312 | + | 8.23580i | 1.07629 | + | 0.358417i | ||||
\(529\) | −7.20982 | − | 22.1895i | −0.313470 | − | 0.964762i | ||||
\(530\) | 10.4530 | + | 15.6979i | 0.454051 | + | 0.681871i | ||||
\(531\) | 0.629861 | − | 18.7586i | 0.0273337 | − | 0.814055i | ||||
\(532\) | 3.50813 | + | 8.35711i | 0.152097 | + | 0.362327i | ||||
\(533\) | −1.66036 | + | 5.11005i | −0.0719181 | + | 0.221341i | ||||
\(534\) | 16.6605 | + | 11.4829i | 0.720970 | + | 0.496914i | ||||
\(535\) | −5.24908 | − | 6.19533i | −0.226938 | − | 0.267847i | ||||
\(536\) | 25.7187 | + | 0.827398i | 1.11088 | + | 0.0357381i | ||||
\(537\) | −3.80765 | + | 3.68195i | −0.164312 | + | 0.158888i | ||||
\(538\) | 16.7371 | + | 15.3982i | 0.721588 | + | 0.663864i | ||||
\(539\) | −17.8532 | − | 12.9711i | −0.768990 | − | 0.558704i | ||||
\(540\) | −21.7177 | − | 8.26697i | −0.934580 | − | 0.355754i | ||||
\(541\) | 6.60000 | − | 4.79518i | 0.283756 | − | 0.206161i | −0.436798 | − | 0.899560i | \(-0.643888\pi\) |
0.720554 | + | 0.693399i | \(0.243888\pi\) | |||||||
\(542\) | 19.5576 | + | 2.26781i | 0.840071 | + | 0.0974106i | ||||
\(543\) | 13.9651 | − | 1.97222i | 0.599300 | − | 0.0846362i | ||||
\(544\) | 10.2169 | + | 12.6488i | 0.438046 | + | 0.542315i | ||||
\(545\) | −5.44972 | + | 22.3107i | −0.233440 | + | 0.955684i | ||||
\(546\) | −2.32665 | + | 1.78042i | −0.0995715 | + | 0.0761950i | ||||
\(547\) | −3.33780 | − | 10.2727i | −0.142714 | − | 0.439228i | 0.853996 | − | 0.520280i | \(-0.174172\pi\) |
−0.996710 | + | 0.0810512i | \(0.974172\pi\) | |||||||
\(548\) | 16.4125 | + | 3.85811i | 0.701108 | + | 0.164810i | ||||
\(549\) | −9.75711 | + | 2.81198i | −0.416423 | + | 0.120013i | ||||
\(550\) | −25.0103 | + | 9.06971i | −1.06644 | + | 0.386734i | ||||
\(551\) | 9.43170 | 0.401804 | ||||||||
\(552\) | 3.59893 | + | 33.1512i | 0.153180 | + | 1.41101i | ||||
\(553\) | 13.8528 | − | 4.50104i | 0.589080 | − | 0.191404i | ||||
\(554\) | 19.0421 | − | 10.7235i | 0.809022 | − | 0.455596i | ||||
\(555\) | 9.81671 | + | 44.9787i | 0.416696 | + | 1.90924i | ||||
\(556\) | 8.68703 | − | 0.725131i | 0.368412 | − | 0.0307524i | ||||
\(557\) | −11.5067 | −0.487554 | −0.243777 | − | 0.969831i | \(-0.578386\pi\) | ||||
−0.243777 | + | 0.969831i | \(0.578386\pi\) | |||||||
\(558\) | −1.58953 | + | 0.264932i | −0.0672901 | + | 0.0112154i | ||||
\(559\) | −6.10348 | − | 8.40073i | −0.258150 | − | 0.355313i | ||||
\(560\) | −5.02283 | − | 8.09577i | −0.212254 | − | 0.342109i | ||||
\(561\) | 16.5444 | + | 8.78256i | 0.698504 | + | 0.370800i | ||||
\(562\) | −25.0176 | − | 23.0163i | −1.05530 | − | 0.970883i | ||||
\(563\) | −19.9046 | − | 27.3963i | −0.838878 | − | 1.15462i | −0.986205 | − | 0.165529i | \(-0.947067\pi\) |
0.147327 | − | 0.989088i | \(-0.452933\pi\) | |||||||
\(564\) | 2.47428 | − | 27.2406i | 0.104186 | − | 1.14703i | ||||
\(565\) | 4.75911 | − | 19.4834i | 0.200217 | − | 0.819673i | ||||
\(566\) | 23.0384 | − | 25.0416i | 0.968378 | − | 1.05258i | ||||
\(567\) | −2.34419 | − | 9.29568i | −0.0984469 | − | 0.390382i | ||||
\(568\) | 11.8096 | − | 8.01299i | 0.495522 | − | 0.336218i | ||||
\(569\) | 28.3556 | + | 9.21329i | 1.18873 | + | 0.386241i | 0.835603 | − | 0.549334i | \(-0.185119\pi\) |
0.353126 | + | 0.935576i | \(0.385119\pi\) | |||||||
\(570\) | −9.36552 | − | 21.3376i | −0.392279 | − | 0.893735i | ||||
\(571\) | −21.9256 | + | 7.12405i | −0.917557 | + | 0.298132i | −0.729464 | − | 0.684019i | \(-0.760231\pi\) |
−0.188093 | + | 0.982151i | \(0.560231\pi\) | |||||||
\(572\) | −6.39872 | + | 5.51769i | −0.267544 | + | 0.230706i | ||||
\(573\) | 27.2332 | + | 14.4567i | 1.13769 | + | 0.603939i | ||||
\(574\) | −1.42304 | − | 7.06654i | −0.0593966 | − | 0.294952i | ||||
\(575\) | −23.8743 | − | 24.2550i | −0.995628 | − | 1.01150i | ||||
\(576\) | 2.34548 | − | 23.8851i | 0.0977282 | − | 0.995213i | ||||
\(577\) | 18.9329 | − | 26.0589i | 0.788186 | − | 1.08484i | −0.206146 | − | 0.978521i | \(-0.566092\pi\) |
0.994332 | − | 0.106323i | \(-0.0339079\pi\) | |||||||
\(578\) | −6.06375 | − | 10.7677i | −0.252219 | − | 0.447876i | ||||
\(579\) | −21.6338 | + | 10.5695i | −0.899072 | + | 0.439254i | ||||
\(580\) | −9.79104 | + | 1.55863i | −0.406551 | + | 0.0647187i | ||||
\(581\) | −15.7420 | − | 5.11490i | −0.653090 | − | 0.212202i | ||||
\(582\) | −9.43922 | − | 26.7680i | −0.391268 | − | 1.10957i | ||||
\(583\) | −6.93393 | + | 21.3404i | −0.287174 | + | 0.883830i | ||||
\(584\) | 4.30772 | + | 1.55450i | 0.178255 | + | 0.0643255i | ||||
\(585\) | 5.90708 | − | 4.67356i | 0.244228 | − | 0.193228i | ||||
\(586\) | 13.0751 | + | 5.99018i | 0.540129 | + | 0.247452i | ||||
\(587\) | −16.0298 | − | 22.0631i | −0.661621 | − | 0.910643i | 0.337913 | − | 0.941177i | \(-0.390279\pi\) |
−0.999534 | + | 0.0305344i | \(0.990279\pi\) | |||||||
\(588\) | −8.00094 | + | 18.6766i | −0.329953 | + | 0.770211i | ||||
\(589\) | −1.30732 | − | 0.949823i | −0.0538672 | − | 0.0391368i | ||||
\(590\) | −12.2731 | + | 15.5177i | −0.505274 | + | 0.638852i | ||||
\(591\) | −28.0776 | + | 27.1507i | −1.15496 | + | 1.11683i | ||||
\(592\) | −42.1584 | + | 21.9867i | −1.73270 | + | 0.903647i | ||||
\(593\) | 41.0713 | 1.68660 | 0.843299 | − | 0.537445i | \(-0.180611\pi\) | ||||
0.843299 | + | 0.537445i | \(0.180611\pi\) | |||||||
\(594\) | −8.31434 | − | 26.3679i | −0.341142 | − | 1.08189i | ||||
\(595\) | −2.59490 | − | 6.33538i | −0.106380 | − | 0.259725i | ||||
\(596\) | 0.562956 | − | 0.485444i | 0.0230596 | − | 0.0198846i | ||||
\(597\) | −3.35651 | + | 1.63987i | −0.137373 | + | 0.0671154i | ||||
\(598\) | −9.82658 | − | 4.50191i | −0.401839 | − | 0.184097i | ||||
\(599\) | 9.65061 | 0.394313 | 0.197157 | − | 0.980372i | \(-0.436829\pi\) | ||||
0.197157 | + | 0.980372i | \(0.436829\pi\) | |||||||
\(600\) | 13.2485 | + | 20.6029i | 0.540867 | + | 0.841108i | ||||
\(601\) | −20.7168 | −0.845054 | −0.422527 | − | 0.906350i | \(-0.638857\pi\) | ||||
−0.422527 | + | 0.906350i | \(0.638857\pi\) | |||||||
\(602\) | 12.6650 | + | 5.80230i | 0.516188 | + | 0.236484i | ||||
\(603\) | −15.2924 | − | 22.6064i | −0.622753 | − | 0.920602i | ||||
\(604\) | 32.7329 | − | 28.2260i | 1.33188 | − | 1.14850i | ||||
\(605\) | −6.00144 | − | 3.71041i | −0.243993 | − | 0.150850i | ||||
\(606\) | −24.7801 | + | 0.616101i | −1.00662 | + | 0.0250274i | ||||
\(607\) | −13.9554 | −0.566431 | −0.283216 | − | 0.959056i | \(-0.591401\pi\) | ||||
−0.283216 | + | 0.959056i | \(0.591401\pi\) | |||||||
\(608\) | 18.7221 | − | 15.1225i | 0.759283 | − | 0.613298i | ||||
\(609\) | −2.84321 | − | 2.94028i | −0.115213 | − | 0.119146i | ||||
\(610\) | 10.0361 | + | 3.72057i | 0.406348 | + | 0.150642i | ||||
\(611\) | 7.17281 | + | 5.21135i | 0.290181 | + | 0.210829i | ||||
\(612\) | 4.50764 | − | 16.6465i | 0.182211 | − | 0.672896i | ||||
\(613\) | −0.153307 | − | 0.211009i | −0.00619200 | − | 0.00852256i | 0.805910 | − | 0.592038i | \(-0.201677\pi\) |
−0.812102 | + | 0.583516i | \(0.801677\pi\) | |||||||
\(614\) | 3.89917 | + | 1.78635i | 0.157358 | + | 0.0720912i | ||||
\(615\) | 3.95182 | + | 18.1066i | 0.159353 | + | 0.730130i | ||||
\(616\) | 3.84764 | − | 10.6623i | 0.155026 | − | 0.429597i | ||||
\(617\) | −0.797927 | + | 2.45577i | −0.0321233 | + | 0.0988655i | −0.965833 | − | 0.259167i | \(-0.916552\pi\) |
0.933709 | + | 0.358032i | \(0.116552\pi\) | |||||||
\(618\) | 32.0189 | − | 11.2909i | 1.28799 | − | 0.454185i | ||||
\(619\) | −42.5094 | − | 13.8121i | −1.70860 | − | 0.555157i | −0.718499 | − | 0.695528i | \(-0.755171\pi\) |
−0.990099 | + | 0.140371i | \(0.955171\pi\) | |||||||
\(620\) | 1.51409 | + | 0.769969i | 0.0608073 | + | 0.0309227i | ||||
\(621\) | 26.2364 | − | 23.7192i | 1.05283 | − | 0.951818i | ||||
\(622\) | 19.6875 | + | 34.9599i | 0.789395 | + | 1.40176i | ||||
\(623\) | 5.17201 | − | 7.11866i | 0.207212 | − | 0.285203i | ||||
\(624\) | 6.26006 | + | 4.61842i | 0.250603 | + | 0.184885i | ||||
\(625\) | −23.6512 | − | 8.10053i | −0.946050 | − | 0.324021i | ||||
\(626\) | −0.328732 | − | 1.63242i | −0.0131388 | − | 0.0652446i | ||||
\(627\) | 12.9995 | − | 24.4881i | 0.519149 | − | 0.977959i | ||||
\(628\) | 5.76903 | − | 4.97471i | 0.230210 | − | 0.198512i | ||||
\(629\) | −32.4945 | + | 10.5581i | −1.29564 | + | 0.420979i | ||||
\(630\) | −3.82862 | + | 9.35192i | −0.152536 | + | 0.372589i | ||||
\(631\) | 2.19977 | + | 0.714749i | 0.0875715 | + | 0.0284537i | 0.352475 | − | 0.935821i | \(-0.385340\pi\) |
−0.264904 | + | 0.964275i | \(0.585340\pi\) | |||||||
\(632\) | −21.7157 | − | 32.0048i | −0.863803 | − | 1.27308i | ||||
\(633\) | −28.9948 | − | 5.09251i | −1.15244 | − | 0.202409i | ||||
\(634\) | −0.475548 | + | 0.516897i | −0.0188864 | + | 0.0205286i | ||||
\(635\) | −20.7570 | + | 1.55104i | −0.823716 | + | 0.0615513i | ||||
\(636\) | 20.5751 | + | 1.86885i | 0.815855 | + | 0.0741046i | ||||
\(637\) | −3.87112 | − | 5.32814i | −0.153379 | − | 0.211108i | ||||
\(638\) | −8.68082 | − | 7.98640i | −0.343677 | − | 0.316185i | ||||
\(639\) | −14.2313 | − | 5.15814i | −0.562980 | − | 0.204053i | ||||
\(640\) | −16.9364 | + | 18.7925i | −0.669468 | + | 0.742841i | ||||
\(641\) | 16.9735 | + | 23.3620i | 0.670413 | + | 0.922745i | 0.999770 | − | 0.0214611i | \(-0.00683180\pi\) |
−0.329357 | + | 0.944206i | \(0.606832\pi\) | |||||||
\(642\) | −8.89230 | + | 0.221087i | −0.350951 | + | 0.00872561i | ||||
\(643\) | 28.5484 | 1.12584 | 0.562920 | − | 0.826511i | \(-0.309678\pi\) | ||||
0.562920 | + | 0.826511i | \(0.309678\pi\) | |||||||
\(644\) | 14.4506 | − | 1.20624i | 0.569435 | − | 0.0475324i | ||||
\(645\) | −32.7988 | − | 14.3895i | −1.29145 | − | 0.566588i | ||||
\(646\) | 15.0689 | − | 8.48594i | 0.592876 | − | 0.333875i | ||||
\(647\) | 15.3388 | − | 4.98389i | 0.603032 | − | 0.195937i | 0.00843998 | − | 0.999964i | \(-0.497313\pi\) |
0.594592 | + | 0.804027i | \(0.297313\pi\) | |||||||
\(648\) | −21.9760 | + | 12.8475i | −0.863297 | + | 0.504696i | ||||
\(649\) | −23.5389 | −0.923983 | ||||||||
\(650\) | −7.93524 | + | 0.267765i | −0.311246 | + | 0.0105026i | ||||
\(651\) | 0.0979926 | + | 0.693875i | 0.00384063 | + | 0.0271951i | ||||
\(652\) | 18.0886 | + | 4.25210i | 0.708403 | + | 0.166525i | ||||
\(653\) | −6.14191 | − | 18.9029i | −0.240352 | − | 0.739726i | −0.996366 | − | 0.0851714i | \(-0.972856\pi\) |
0.756015 | − | 0.654555i | \(-0.227144\pi\) | |||||||
\(654\) | 15.2892 | + | 19.9799i | 0.597856 | + | 0.781278i | ||||
\(655\) | 6.24875 | + | 15.2562i | 0.244159 | + | 0.596108i | ||||
\(656\) | −16.9713 | + | 8.85096i | −0.662618 | + | 0.345572i | ||||
\(657\) | −1.34515 | − | 4.66745i | −0.0524793 | − | 0.182094i | ||||
\(658\) | −11.8155 | − | 1.37007i | −0.460615 | − | 0.0534108i | ||||
\(659\) | −34.8156 | + | 25.2950i | −1.35622 | + | 0.985354i | −0.357548 | + | 0.933895i | \(0.616387\pi\) |
−0.998675 | + | 0.0514590i | \(0.983613\pi\) | |||||||
\(660\) | −9.44796 | + | 27.5692i | −0.367761 | + | 1.07313i | ||||
\(661\) | 16.7406 | + | 12.1628i | 0.651135 | + | 0.473077i | 0.863658 | − | 0.504079i | \(-0.168168\pi\) |
−0.212523 | + | 0.977156i | \(0.568168\pi\) | |||||||
\(662\) | 6.32318 | + | 5.81736i | 0.245757 | + | 0.226098i | ||||
\(663\) | 3.88592 | + | 4.01859i | 0.150917 | + | 0.156069i | ||||
\(664\) | −1.41323 | + | 43.9287i | −0.0548440 | + | 1.70476i | ||||
\(665\) | −9.37728 | + | 3.84082i | −0.363635 | + | 0.148941i | ||||
\(666\) | 45.1183 | + | 22.5318i | 1.74830 | + | 0.873091i | ||||
\(667\) | 4.66303 | − | 14.3513i | 0.180553 | − | 0.555686i | ||||
\(668\) | −14.7808 | − | 35.2109i | −0.571885 | − | 1.36235i | ||||
\(669\) | 0.474494 | − | 2.70159i | 0.0183450 | − | 0.104450i | ||||
\(670\) | −1.17502 | + | 28.7453i | −0.0453951 | + | 1.11053i | ||||
\(671\) | 3.93523 | + | 12.1114i | 0.151918 | + | 0.467555i | ||||
\(672\) | −10.3582 | − | 1.27781i | −0.399575 | − | 0.0492924i | ||||
\(673\) | −18.0086 | + | 24.7867i | −0.694180 | + | 0.955457i | 0.305814 | + | 0.952091i | \(0.401071\pi\) |
−0.999994 | + | 0.00336563i | \(0.998929\pi\) | |||||||
\(674\) | −2.46727 | − | 12.2520i | −0.0950357 | − | 0.471928i | ||||
\(675\) | 9.45351 | − | 24.1998i | 0.363866 | − | 0.931451i | ||||
\(676\) | 21.6484 | − | 9.08751i | 0.832630 | − | 0.349520i | ||||
\(677\) | 17.9811 | + | 13.0640i | 0.691070 | + | 0.502092i | 0.877012 | − | 0.480469i | \(-0.159534\pi\) |
−0.185942 | + | 0.982561i | \(0.559534\pi\) | |||||||
\(678\) | −13.3517 | − | 17.4480i | −0.512770 | − | 0.670088i | ||||
\(679\) | −11.7388 | + | 3.81417i | −0.450494 | + | 0.146374i | ||||
\(680\) | −14.2406 | + | 11.2994i | −0.546103 | + | 0.433314i | ||||
\(681\) | −8.66095 | − | 1.52117i | −0.331888 | − | 0.0582913i | ||||
\(682\) | 0.398967 | + | 1.98119i | 0.0152772 | + | 0.0758638i | ||||
\(683\) | −2.21814 | − | 0.720716i | −0.0848746 | − | 0.0275774i | 0.266272 | − | 0.963898i | \(-0.414208\pi\) |
−0.351147 | + | 0.936321i | \(0.614208\pi\) | |||||||
\(684\) | −24.6393 | − | 6.67196i | −0.942106 | − | 0.255109i | ||||
\(685\) | −4.47287 | + | 18.3116i | −0.170900 | + | 0.699648i | ||||
\(686\) | 17.6194 | + | 8.07209i | 0.672713 | + | 0.308194i | ||||
\(687\) | −17.2096 | + | 16.6414i | −0.656585 | + | 0.634909i | ||||
\(688\) | 5.44007 | − | 36.5889i | 0.207401 | − | 1.39494i | ||||
\(689\) | −3.93619 | + | 5.41770i | −0.149957 | + | 0.206398i | ||||
\(690\) | −37.0978 | + | 3.70132i | −1.41229 | + | 0.140907i | ||||
\(691\) | 14.6482 | + | 20.1615i | 0.557244 | + | 0.766980i | 0.990973 | − | 0.134063i | \(-0.0428025\pi\) |
−0.433729 | + | 0.901043i | \(0.642802\pi\) | |||||||
\(692\) | 1.99442 | + | 23.8930i | 0.0758163 | + | 0.908275i | ||||
\(693\) | −11.5527 | + | 3.32947i | −0.438852 | + | 0.126476i | ||||
\(694\) | −44.0491 | − | 5.10773i | −1.67208 | − | 0.193887i | ||||
\(695\) | 0.726248 | + | 9.71908i | 0.0275482 | + | 0.368666i | ||||
\(696\) | −5.39812 | + | 9.42406i | −0.204615 | + | 0.357218i | ||||
\(697\) | −13.0810 | + | 4.25028i | −0.495478 | + | 0.160991i | ||||
\(698\) | −13.3858 | − | 6.13251i | −0.506660 | − | 0.232119i | ||||
\(699\) | −11.5396 | + | 1.62969i | −0.436470 | + | 0.0616405i | ||||
\(700\) | 9.09983 | − | 5.53679i | 0.343941 | − | 0.209271i | ||||
\(701\) | − | 9.33962i | − | 0.352753i | −0.984323 | − | 0.176376i | \(-0.943562\pi\) | ||
0.984323 | − | 0.176376i | \(-0.0564376\pi\) | |||||||
\(702\) | 0.0718419 | − | 8.25093i | 0.00271150 | − | 0.311411i | ||||
\(703\) | 15.6275 | + | 48.0966i | 0.589404 | + | 1.81400i | ||||
\(704\) | −30.0368 | − | 1.93463i | −1.13205 | − | 0.0729141i | ||||
\(705\) | 30.4307 | + | 3.03101i | 1.14609 | + | 0.114155i | ||||
\(706\) | 1.51287 | − | 13.0470i | 0.0569377 | − | 0.491032i | ||||
\(707\) | 10.7792i | 0.405395i | ||||||||
\(708\) | 4.80528 | + | 21.1334i | 0.180593 | + | 0.794241i | ||||
\(709\) | 36.3736 | − | 26.4270i | 1.36604 | − | 0.992485i | 0.368004 | − | 0.929824i | \(-0.380041\pi\) |
0.998035 | − | 0.0626614i | \(-0.0199588\pi\) | |||||||
\(710\) | 8.84366 | + | 13.2810i | 0.331897 | + | 0.498426i | ||||
\(711\) | −13.9789 | + | 38.5676i | −0.524248 | + | 1.44640i | ||||
\(712\) | −21.9774 | − | 7.93084i | −0.823639 | − | 0.297221i | ||||
\(713\) | −2.09159 | + | 1.51963i | −0.0783308 | + | 0.0569107i | ||||
\(714\) | −7.18798 | − | 2.13952i | −0.269003 | − | 0.0800695i | ||||
\(715\) | −6.10653 | − | 7.20735i | −0.228371 | − | 0.269540i | ||||
\(716\) | 3.17090 | − | 5.22992i | 0.118502 | − | 0.195451i | ||||
\(717\) | 4.30460 | − | 24.5088i | 0.160758 | − | 0.915297i | ||||
\(718\) | −35.1333 | + | 7.07506i | −1.31116 | + | 0.264039i | ||||
\(719\) | 5.63305 | − | 17.3368i | 0.210077 | − | 0.646552i | −0.789389 | − | 0.613893i | \(-0.789603\pi\) |
0.999467 | − | 0.0326586i | \(-0.0103974\pi\) | |||||||
\(720\) | 26.6806 | + | 2.85440i | 0.994326 | + | 0.106377i | ||||
\(721\) | −4.56237 | − | 14.0415i | −0.169912 | − | 0.522934i | ||||
\(722\) | 0.624377 | + | 1.10873i | 0.0232369 | + | 0.0412628i | ||||
\(723\) | 37.2694 | + | 19.7844i | 1.38606 | + | 0.735791i | ||||
\(724\) | −15.0162 | + | 6.30345i | −0.558071 | + | 0.234266i | ||||
\(725\) | −1.64737 | − | 10.9615i | −0.0611816 | − | 0.407098i | ||||
\(726\) | −7.28932 | + | 2.57044i | −0.270532 | + | 0.0953981i | ||||
\(727\) | −33.0545 | − | 24.0155i | −1.22592 | − | 0.890686i | −0.229346 | − | 0.973345i | \(-0.573659\pi\) |
−0.996578 | + | 0.0826588i | \(0.973659\pi\) | |||||||
\(728\) | 2.07542 | − | 2.67150i | 0.0769200 | − | 0.0990125i | ||||
\(729\) | 24.7097 | + | 10.8825i | 0.915176 | + | 0.403055i | ||||
\(730\) | −1.77979 | + | 4.80088i | −0.0658728 | + | 0.177689i | ||||
\(731\) | 8.21405 | − | 25.2802i | 0.303808 | − | 0.935023i | ||||
\(732\) | 10.0703 | − | 6.00552i | 0.372210 | − | 0.221970i | ||||
\(733\) | 14.0288 | + | 4.55822i | 0.518165 | + | 0.168362i | 0.556412 | − | 0.830906i | \(-0.312178\pi\) |
−0.0382476 | + | 0.999268i | \(0.512178\pi\) | |||||||
\(734\) | −23.2958 | + | 25.3214i | −0.859864 | + | 0.934630i | ||||
\(735\) | −20.8025 | − | 9.12653i | −0.767313 | − | 0.336637i | ||||
\(736\) | −13.7542 | − | 35.9643i | −0.506988 | − | 1.32566i | ||||
\(737\) | −27.6916 | + | 20.1191i | −1.02003 | + | 0.741098i | ||||
\(738\) | 18.1628 | + | 9.07042i | 0.668583 | + | 0.333887i | ||||
\(739\) | 3.77113 | − | 5.19052i | 0.138723 | − | 0.190936i | −0.734003 | − | 0.679147i | \(-0.762350\pi\) |
0.872726 | + | 0.488210i | \(0.162350\pi\) | |||||||
\(740\) | −24.1711 | − | 47.3465i | −0.888548 | − | 1.74049i | ||||
\(741\) | 5.94809 | − | 5.75172i | 0.218509 | − | 0.211295i | ||||
\(742\) | 1.03483 | − | 8.92435i | 0.0379897 | − | 0.327623i | ||||
\(743\) | 0.134545i | 0.00493599i | 0.999997 | + | 0.00246800i | \(0.000785588\pi\) | ||||
−0.999997 | + | 0.00246800i | \(0.999214\pi\) | |||||||
\(744\) | 1.69728 | − | 0.762639i | 0.0622253 | − | 0.0279597i | ||||
\(745\) | 0.537250 | + | 0.634099i | 0.0196833 | + | 0.0232316i | ||||
\(746\) | 11.6328 | − | 6.55094i | 0.425906 | − | 0.239847i | ||||
\(747\) | 38.6127 | − | 26.1200i | 1.41276 | − | 0.955682i | ||||
\(748\) | −21.0548 | − | 4.94937i | −0.769838 | − | 0.180967i | ||||
\(749\) | 3.86812i | 0.141338i | ||||||||
\(750\) | −23.1626 | + | 14.6114i | −0.845779 | + | 0.533534i | ||||
\(751\) | 2.79895i | 0.102135i | 0.998695 | + | 0.0510676i | \(0.0162624\pi\) | ||||
−0.998695 | + | 0.0510676i | \(0.983738\pi\) | |||||||
\(752\) | 5.23636 | + | 31.1471i | 0.190950 | + | 1.13582i | ||||
\(753\) | −10.9603 | − | 22.4337i | −0.399416 | − | 0.817531i | ||||
\(754\) | −1.72739 | − | 3.06740i | −0.0629078 | − | 0.111708i | ||||
\(755\) | 31.2382 | + | 36.8695i | 1.13688 | + | 1.34182i | ||||
\(756\) | 5.34762 | + | 9.69242i | 0.194491 | + | 0.352510i | ||||
\(757\) | − | 12.7242i | − | 0.462467i | −0.972898 | − | 0.231234i | \(-0.925724\pi\) | ||
0.972898 | − | 0.231234i | \(-0.0742762\pi\) | |||||||
\(758\) | 23.9836 | + | 2.78103i | 0.871124 | + | 0.101011i | ||||
\(759\) | −30.8342 | − | 31.8870i | −1.11921 | − | 1.15742i | ||||
\(760\) | 16.7248 | + | 21.0782i | 0.606673 | + | 0.764586i | ||||
\(761\) | 16.0710 | − | 22.1199i | 0.582575 | − | 0.801846i | −0.411400 | − | 0.911455i | \(-0.634960\pi\) |
0.993975 | + | 0.109609i | \(0.0349599\pi\) | |||||||
\(762\) | −12.9398 | + | 18.7742i | −0.468758 | + | 0.680119i | ||||
\(763\) | 8.85109 | − | 6.43069i | 0.320431 | − | 0.232807i | ||||
\(764\) | −34.6577 | − | 8.14703i | −1.25387 | − | 0.294749i | ||||
\(765\) | 18.5669 | + | 5.20132i | 0.671286 | + | 0.188054i | ||||
\(766\) | −28.5973 | − | 26.3097i | −1.03326 | − | 0.950608i | ||||
\(767\) | −6.68118 | − | 2.17085i | −0.241243 | − | 0.0783847i | ||||
\(768\) | 4.39483 | + | 27.3621i | 0.158585 | + | 0.987345i | ||||
\(769\) | 2.64404 | − | 8.13751i | 0.0953465 | − | 0.293446i | −0.891997 | − | 0.452041i | \(-0.850696\pi\) |
0.987344 | + | 0.158594i | \(0.0506962\pi\) | |||||||
\(770\) | 11.8830 | + | 4.40527i | 0.428233 | + | 0.158755i | ||||
\(771\) | 20.2512 | + | 41.4504i | 0.729328 | + | 1.49280i | ||||
\(772\) | 21.0554 | − | 18.1563i | 0.757801 | − | 0.653461i | ||||
\(773\) | −19.0205 | − | 13.8192i | −0.684121 | − | 0.497043i | 0.190601 | − | 0.981668i | \(-0.438956\pi\) |
−0.874722 | + | 0.484624i | \(0.838956\pi\) | |||||||
\(774\) | −34.8136 | + | 18.0940i | −1.25135 | + | 0.650376i | ||||
\(775\) | −0.875537 | + | 1.68525i | −0.0314502 | + | 0.0605361i | ||||
\(776\) | 18.4018 | + | 27.1208i | 0.660586 | + | 0.973581i | ||||
\(777\) | 10.2829 | − | 19.3706i | 0.368896 | − | 0.694917i | ||||
\(778\) | −7.08172 | + | 3.98803i | −0.253892 | + | 0.142978i | ||||
\(779\) | 6.29103 | + | 19.3618i | 0.225399 | + | 0.693708i | ||||
\(780\) | −5.22420 | + | 6.95380i | −0.187057 | + | 0.248986i | ||||
\(781\) | −5.86636 | + | 18.0548i | −0.209915 | + | 0.646052i | ||||
\(782\) | −5.46222 | − | 27.1243i | −0.195329 | − | 0.969964i | ||||
\(783\) | 11.4538 | − | 1.22717i | 0.409327 | − | 0.0438553i | ||||
\(784\) | 3.45035 | − | 23.2064i | 0.123227 | − | 0.828799i | ||||
\(785\) | 5.50560 | + | 6.49809i | 0.196503 | + | 0.231927i | ||||
\(786\) | 17.3093 | + | 5.15216i | 0.617403 | + | 0.183772i | ||||
\(787\) | 23.7830 | − | 17.2794i | 0.847773 | − | 0.615943i | −0.0767584 | − | 0.997050i | \(-0.524457\pi\) |
0.924531 | + | 0.381107i | \(0.124457\pi\) | |||||||
\(788\) | 23.3822 | − | 38.5654i | 0.832956 | − | 1.37383i | ||||
\(789\) | 12.3172 | − | 23.2028i | 0.438503 | − | 0.826042i | ||||
\(790\) | 35.9922 | − | 23.9668i | 1.28055 | − | 0.852702i | ||||
\(791\) | −7.72945 | + | 5.61578i | −0.274828 | + | 0.199674i | ||||
\(792\) | 17.0281 | + | 27.0044i | 0.605068 | + | 0.959558i | ||||
\(793\) | 3.80057i | 0.134962i | ||||||||
\(794\) | −36.5466 | − | 4.23777i | −1.29699 | − | 0.150393i | ||||
\(795\) | −2.28936 | + | 22.9846i | −0.0811951 | + | 0.815180i | ||||
\(796\) | 3.26677 | − | 2.81698i | 0.115788 | − | 0.0998451i | ||||
\(797\) | 16.5271 | + | 50.8650i | 0.585418 | + | 1.80173i | 0.597584 | + | 0.801806i | \(0.296128\pi\) |
−0.0121654 | + | 0.999926i | \(0.503872\pi\) | |||||||
\(798\) | −3.16680 | + | 10.6393i | −0.112103 | + | 0.376626i | ||||
\(799\) | 22.6959i | 0.802923i | ||||||||
\(800\) | −20.8453 | − | 19.1174i | −0.736992 | − | 0.675901i | ||||
\(801\) | 6.86279 | + | 23.8127i | 0.242485 | + | 0.841381i | ||||
\(802\) | −20.4383 | + | 44.6119i | −0.721702 | + | 1.57530i | ||||
\(803\) | −5.79365 | + | 1.88247i | −0.204454 | + | 0.0664310i | ||||
\(804\) | 23.7161 | + | 20.7546i | 0.836403 | + | 0.731957i | ||||
\(805\) | 1.20809 | + | 16.1674i | 0.0425797 | + | 0.569827i | ||||
\(806\) | −0.0694719 | + | 0.599127i | −0.00244704 | + | 0.0211033i | ||||
\(807\) | 3.89506 | + | 27.5805i | 0.137112 | + | 0.970878i | ||||
\(808\) | 27.4919 | − | 7.96495i | 0.967161 | − | 0.280206i | ||||
\(809\) | −8.86942 | − | 12.2077i | −0.311832 | − | 0.429200i | 0.624119 | − | 0.781329i | \(-0.285458\pi\) |
−0.935951 | + | 0.352129i | \(0.885458\pi\) | |||||||
\(810\) | −14.1497 | − | 24.6938i | −0.497171 | − | 0.867653i | ||||
\(811\) | 8.45881 | − | 11.6426i | 0.297029 | − | 0.408825i | −0.634252 | − | 0.773126i | \(-0.718692\pi\) |
0.931281 | + | 0.364301i | \(0.118692\pi\) | |||||||
\(812\) | 4.03855 | + | 2.44857i | 0.141725 | + | 0.0859280i | ||||
\(813\) | 16.7623 | + | 17.3346i | 0.587880 | + | 0.607951i | ||||
\(814\) | 26.3430 | − | 57.5003i | 0.923320 | − | 2.01539i | ||||
\(815\) | −4.92965 | + | 20.1815i | −0.172678 | + | 0.706929i | ||||
\(816\) | −0.145417 | + | 19.9135i | −0.00509062 | + | 0.697111i | ||||
\(817\) | −37.4184 | − | 12.1580i | −1.30910 | − | 0.425354i | ||||
\(818\) | 4.84816 | − | 0.976309i | 0.169512 | − | 0.0341359i | ||||
\(819\) | −3.58613 | − | 0.120412i | −0.125309 | − | 0.00420753i | ||||
\(820\) | −9.73033 | − | 19.0598i | −0.339798 | − | 0.665598i | ||||
\(821\) | −36.2795 | + | 11.7879i | −1.26616 | + | 0.411401i | −0.863687 | − | 0.504029i | \(-0.831850\pi\) |
−0.402476 | + | 0.915430i | \(0.631850\pi\) | |||||||
\(822\) | 12.5487 | + | 16.3986i | 0.437685 | + | 0.571967i | ||||
\(823\) | −14.9057 | − | 10.8296i | −0.519580 | − | 0.377497i | 0.296866 | − | 0.954919i | \(-0.404059\pi\) |
−0.816446 | + | 0.577422i | \(0.804059\pi\) | |||||||
\(824\) | −32.4410 | + | 22.0116i | −1.13013 | + | 0.766810i | ||||
\(825\) | −30.7304 | − | 10.8307i | −1.06989 | − | 0.377077i | ||||
\(826\) | 9.23920 | − | 1.86057i | 0.321473 | − | 0.0647374i | ||||
\(827\) | 29.0131 | − | 39.9331i | 1.00888 | − | 1.38861i | 0.0891702 | − | 0.996016i | \(-0.471578\pi\) |
0.919713 | − | 0.392592i | \(-0.128422\pi\) | |||||||
\(828\) | −22.3337 | + | 34.1926i | −0.776151 | + | 1.18828i | ||||
\(829\) | 0.628871 | + | 1.93547i | 0.0218416 | + | 0.0672215i | 0.961383 | − | 0.275213i | \(-0.0887484\pi\) |
−0.939542 | + | 0.342435i | \(0.888748\pi\) | |||||||
\(830\) | −49.0982 | − | 2.00699i | −1.70422 | − | 0.0696637i | ||||
\(831\) | 26.3620 | + | 4.63009i | 0.914488 | + | 0.160616i | ||||
\(832\) | −8.34708 | − | 3.31922i | −0.289383 | − | 0.115073i | ||||
\(833\) | 5.20974 | − | 16.0339i | 0.180507 | − | 0.555542i | ||||
\(834\) | 8.79070 | + | 6.05881i | 0.304397 | + | 0.209799i | ||||
\(835\) | 39.5092 | − | 16.1825i | 1.36727 | − | 0.560019i | ||||
\(836\) | −7.32578 | + | 31.1641i | −0.253368 | + | 1.07783i | ||||
\(837\) | −1.71119 | − | 0.983368i | −0.0591473 | − | 0.0339902i | ||||
\(838\) | 13.3126 | − | 14.4701i | 0.459875 | − | 0.499861i | ||||
\(839\) | −24.3937 | − | 17.7231i | −0.842164 | − | 0.611868i | 0.0808101 | − | 0.996730i | \(-0.474249\pi\) |
−0.922974 | + | 0.384861i | \(0.874249\pi\) | |||||||
\(840\) | 1.52926 | − | 11.5679i | 0.0527646 | − | 0.399131i | ||||
\(841\) | −19.4854 | + | 14.1570i | −0.671911 | + | 0.488172i | ||||
\(842\) | −3.30143 | + | 28.4716i | −0.113775 | + | 0.981195i | ||||
\(843\) | −5.82208 | − | 41.2255i | −0.200523 | − | 1.41988i | ||||
\(844\) | 33.8750 | − | 2.82764i | 1.16603 | − | 0.0973315i | ||||
\(845\) | 9.94933 | + | 24.2911i | 0.342267 | + | 0.835638i | ||||
\(846\) | 23.4961 | − | 23.8786i | 0.807811 | − | 0.820965i | ||||
\(847\) | 1.03866 | + | 3.19665i | 0.0356886 | + | 0.109838i | ||||
\(848\) | −23.5257 | + | 3.95507i | −0.807876 | + | 0.135818i | ||||
\(849\) | 41.2652 | − | 5.82769i | 1.41622 | − | 0.200006i | ||||
\(850\) | −12.4943 | − | 16.0307i | −0.428550 | − | 0.549850i | ||||
\(851\) | 80.9103 | 2.77357 | ||||||||
\(852\) | 17.4073 | + | 1.58112i | 0.596364 | + | 0.0541681i | ||||
\(853\) | 16.6871 | − | 5.42196i | 0.571355 | − | 0.185644i | −0.00906911 | − | 0.999959i | \(-0.502887\pi\) |
0.580424 | + | 0.814314i | \(0.302887\pi\) | |||||||
\(854\) | −2.50192 | − | 4.44276i | −0.0856139 | − | 0.152028i | ||||
\(855\) | 7.69870 | − | 27.4816i | 0.263290 | − | 0.939852i | ||||
\(856\) | 9.86542 | − | 2.85821i | 0.337193 | − | 0.0976917i | ||||
\(857\) | 25.8154 | 0.881838 | 0.440919 | − | 0.897547i | \(-0.354653\pi\) | ||||
0.440919 | + | 0.897547i | \(0.354653\pi\) | |||||||
\(858\) | −10.3449 | + | 0.257202i | −0.353169 | + | 0.00878074i | ||||
\(859\) | −2.02084 | − | 2.78145i | −0.0689502 | − | 0.0949018i | 0.773149 | − | 0.634224i | \(-0.218680\pi\) |
−0.842099 | + | 0.539322i | \(0.818680\pi\) | |||||||
\(860\) | 40.8532 | + | 6.43761i | 1.39308 | + | 0.219521i | ||||
\(861\) | 4.13948 | − | 7.79784i | 0.141073 | − | 0.265750i | ||||
\(862\) | −8.28500 | + | 9.00538i | −0.282188 | + | 0.306725i | ||||
\(863\) | 12.0946 | + | 16.6468i | 0.411705 | + | 0.566664i | 0.963633 | − | 0.267228i | \(-0.0861077\pi\) |
−0.551928 | + | 0.833892i | \(0.686108\pi\) | |||||||
\(864\) | 20.7685 | − | 20.8007i | 0.706560 | − | 0.707653i | ||||
\(865\) | −26.7315 | + | 1.99749i | −0.908900 | + | 0.0679166i | ||||
\(866\) | −34.8792 | − | 32.0890i | −1.18524 | − | 1.09043i | ||||
\(867\) | 2.61816 | − | 14.9068i | 0.0889173 | − | 0.506261i | ||||
\(868\) | −0.313195 | − | 0.746098i | −0.0106305 | − | 0.0253242i | ||||
\(869\) | 48.9296 | + | 15.8982i | 1.65982 | + | 0.539309i | ||||
\(870\) | −10.4835 | − | 6.12666i | −0.355425 | − | 0.207713i | ||||
\(871\) | −9.71533 | + | 3.15670i | −0.329191 | + | 0.106961i | ||||
\(872\) | −22.9413 | − | 17.8225i | −0.776891 | − | 0.603545i | ||||
\(873\) | 11.8456 | − | 32.6821i | 0.400914 | − | 1.10612i | ||||
\(874\) | −40.1479 | + | 8.08488i | −1.35802 | + | 0.273475i | ||||
\(875\) | 6.10163 | + | 10.2274i | 0.206273 | + | 0.345748i | ||||
\(876\) | 2.87282 | + | 4.81728i | 0.0970636 | + | 0.162761i | ||||
\(877\) | −20.6185 | + | 28.3790i | −0.696238 | + | 0.958290i | 0.303746 | + | 0.952753i | \(0.401762\pi\) |
−0.999985 | + | 0.00553692i | \(0.998238\pi\) | |||||||
\(878\) | 23.9783 | − | 13.5032i | 0.809228 | − | 0.455712i | ||||
\(879\) | 7.73220 | + | 15.8264i | 0.260801 | + | 0.533811i | ||||
\(880\) | 2.45487 | − | 33.5620i | 0.0827537 | − | 1.13138i | ||||
\(881\) | 20.5723 | + | 6.68433i | 0.693097 | + | 0.225201i | 0.634320 | − | 0.773070i | \(-0.281280\pi\) |
0.0587766 | + | 0.998271i | \(0.481280\pi\) | |||||||
\(882\) | −22.0804 | + | 11.4761i | −0.743487 | + | 0.386420i | ||||
\(883\) | 8.94004 | − | 27.5146i | 0.300856 | − | 0.925941i | −0.680335 | − | 0.732902i | \(-0.738166\pi\) |
0.981191 | − | 0.193039i | \(-0.0618345\pi\) | |||||||
\(884\) | −5.51964 | − | 3.34656i | −0.185646 | − | 0.112557i | ||||
\(885\) | −23.6737 | + | 5.16683i | −0.795781 | + | 0.173681i | ||||
\(886\) | −7.69056 | + | 16.7866i | −0.258369 | + | 0.563958i | ||||
\(887\) | 7.27261 | + | 10.0099i | 0.244190 | + | 0.336099i | 0.913466 | − | 0.406915i | \(-0.133395\pi\) |
−0.669276 | + | 0.743014i | \(0.733395\pi\) | |||||||
\(888\) | −57.0018 | − | 11.9126i | −1.91286 | − | 0.399762i | ||||
\(889\) | 8.02182 | + | 5.82819i | 0.269043 | + | 0.195471i | ||||
\(890\) | 9.08024 | − | 24.4935i | 0.304370 | − | 0.821024i | ||||
\(891\) | 12.6004 | − | 31.4296i | 0.422128 | − | 1.05293i | ||||
\(892\) | 0.263466 | + | 3.15630i | 0.00882148 | + | 0.105681i | ||||
\(893\) | 33.5932 | 1.12415 | ||||||||
\(894\) | 0.910138 | − | 0.0226285i | 0.0304396 | − | 0.000756812i | ||||
\(895\) | 5.81618 | + | 3.59588i | 0.194414 | + | 0.120197i | ||||
\(896\) | 11.9426 | − | 1.61481i | 0.398973 | − | 0.0539471i | ||||
\(897\) | −5.81112 | − | 11.8943i | −0.194028 | − | 0.397139i | ||||
\(898\) | −11.0186 | + | 24.0509i | −0.367694 | + | 0.802588i | ||||
\(899\) | −0.842034 | −0.0280834 | ||||||||
\(900\) | −3.45054 | + | 29.8009i | −0.115018 | + | 0.993363i | ||||
\(901\) | −17.1424 | −0.571098 | ||||||||
\(902\) | 10.6046 | − | 23.1473i | 0.353095 | − | 0.770722i | ||||
\(903\) | 7.48968 | + | 15.3300i | 0.249241 | + | 0.510151i | ||||
\(904\) | 20.0341 | + | 15.5640i | 0.666325 | + | 0.517649i | ||||
\(905\) | −6.90124 | − | 16.8492i | −0.229405 | − | 0.560087i | ||||
\(906\) | 52.9197 | − | 1.31573i | 1.75814 | − | 0.0437122i | ||||
\(907\) | −7.65091 | −0.254044 | −0.127022 | − | 0.991900i | \(-0.540542\pi\) | ||||
−0.127022 | + | 0.991900i | \(0.540542\pi\) | |||||||
\(908\) | 10.1187 | − | 0.844636i | 0.335801 | − | 0.0280302i | ||||
\(909\) | −23.9480 | − | 18.6585i | −0.794306 | − | 0.618865i | ||||
\(910\) | 2.96654 | + | 2.34627i | 0.0983400 | + | 0.0777780i | ||||
\(911\) | −34.6405 | − | 25.1678i | −1.14769 | − | 0.833846i | −0.159519 | − | 0.987195i | \(-0.550994\pi\) |
−0.988172 | + | 0.153349i | \(0.950994\pi\) | |||||||
\(912\) | 29.4748 | + | 0.215238i | 0.976009 | + | 0.00712726i | ||||
\(913\) | −34.3644 | − | 47.2985i | −1.13729 | − | 1.56535i | ||||
\(914\) | 20.6813 | − | 45.1424i | 0.684078 | − | 1.49318i | ||||
\(915\) | 6.61623 | + | 11.3169i | 0.218726 | + | 0.374126i | ||||
\(916\) | 14.3316 | − | 23.6378i | 0.473529 | − | 0.781015i | ||||
\(917\) | 2.42688 | − | 7.46915i | 0.0801425 | − | 0.246653i | ||||
\(918\) | 17.1955 | − | 12.2659i | 0.567536 | − | 0.404836i | ||||
\(919\) | −2.46022 | − | 0.799373i | −0.0811551 | − | 0.0263689i | 0.268158 | − | 0.963375i | \(-0.413585\pi\) |
−0.349313 | + | 0.937006i | \(0.613585\pi\) | |||||||
\(920\) | 40.3414 | − | 15.0275i | 1.33002 | − | 0.495443i | ||||
\(921\) | 2.30584 | + | 4.71964i | 0.0759801 | + | 0.155517i | ||||
\(922\) | 7.60034 | − | 4.28009i | 0.250304 | − | 0.140957i | ||||
\(923\) | −3.33016 | + | 4.58358i | −0.109614 | + | 0.150870i | ||||
\(924\) | 11.9236 | − | 7.11072i | 0.392257 | − | 0.233925i | ||||
\(925\) | 53.1679 | − | 26.5629i | 1.74815 | − | 0.873382i | ||||
\(926\) | −25.0529 | + | 5.04508i | −0.823288 | + | 0.165792i | ||||
\(927\) | 39.0931 | + | 14.1693i | 1.28399 | + | 0.465382i | ||||
\(928\) | 3.26080 | − | 12.1094i | 0.107041 | − | 0.397510i | ||||
\(929\) | −43.7961 | + | 14.2302i | −1.43690 | + | 0.466879i | −0.920931 | − | 0.389726i | \(-0.872570\pi\) |
−0.515974 | + | 0.856604i | \(0.672570\pi\) | |||||||
\(930\) | 0.836126 | + | 1.90496i | 0.0274177 | + | 0.0624661i | ||||
\(931\) | −23.7325 | − | 7.71117i | −0.777802 | − | 0.252723i | ||||
\(932\) | 12.4082 | − | 5.20867i | 0.406443 | − | 0.170616i | ||||
\(933\) | −8.50050 | + | 48.3986i | −0.278294 | + | 1.58450i | ||||
\(934\) | 33.5333 | + | 30.8508i | 1.09724 | + | 1.00947i | ||||
\(935\) | 5.73802 | − | 23.4909i | 0.187653 | − | 0.768236i | ||||
\(936\) | 2.34274 | + | 9.23519i | 0.0765749 | + | 0.301862i | ||||
\(937\) | 8.87033 | + | 12.2090i | 0.289781 | + | 0.398850i | 0.928943 | − | 0.370223i | \(-0.120719\pi\) |
−0.639162 | + | 0.769072i | \(0.720719\pi\) | |||||||
\(938\) | 9.27891 | − | 10.0857i | 0.302967 | − | 0.329310i | ||||
\(939\) | 0.956248 | − | 1.80136i | 0.0312060 | − | 0.0587850i | ||||
\(940\) | −34.8731 | + | 5.55144i | −1.13743 | + | 0.181068i | ||||
\(941\) | −3.79706 | − | 5.22620i | −0.123780 | − | 0.170369i | 0.742630 | − | 0.669702i | \(-0.233578\pi\) |
−0.866410 | + | 0.499333i | \(0.833578\pi\) | |||||||
\(942\) | 9.32686 | − | 0.231891i | 0.303886 | − | 0.00755543i | ||||
\(943\) | 32.5713 | 1.06067 | ||||||||
\(944\) | −11.5723 | − | 22.1893i | −0.376645 | − | 0.722199i | ||||
\(945\) | −10.8880 | + | 5.88437i | −0.354187 | + | 0.191419i | ||||
\(946\) | 24.1445 | + | 42.8745i | 0.785007 | + | 1.39397i | ||||
\(947\) | 34.4157 | − | 11.1823i | 1.11836 | − | 0.363377i | 0.309218 | − | 0.950991i | \(-0.399933\pi\) |
0.809141 | + | 0.587614i | \(0.199933\pi\) | |||||||
\(948\) | 4.28492 | − | 47.1748i | 0.139168 | − | 1.53217i | ||||
\(949\) | −1.81805 | −0.0590165 | ||||||||
\(950\) | −23.7278 | + | 18.4933i | −0.769832 | + | 0.600003i | ||||
\(951\) | −0.851776 | + | 0.120292i | −0.0276207 | + | 0.00390074i | ||||
\(952\) | 8.65536 | + | 0.278452i | 0.280522 | + | 0.00902468i | ||||
\(953\) | 15.4770 | + | 47.6332i | 0.501348 | + | 1.54299i | 0.806825 | + | 0.590791i | \(0.201184\pi\) |
−0.305476 | + | 0.952200i | \(0.598816\pi\) | |||||||
\(954\) | 18.0358 | + | 17.7468i | 0.583930 | + | 0.574575i | ||||
\(955\) | 9.44520 | − | 38.6678i | 0.305639 | − | 1.25126i | ||||
\(956\) | 2.39015 | + | 28.6339i | 0.0773031 | + | 0.926086i | ||||
\(957\) | −2.02020 | − | 14.3048i | −0.0653038 | − | 0.462409i | ||||
\(958\) | −1.65940 | + | 14.3107i | −0.0536127 | + | 0.462356i | ||||
\(959\) | 7.26456 | − | 5.27801i | 0.234585 | − | 0.170436i | ||||
\(960\) | −30.6333 | + | 4.64741i | −0.988687 | + | 0.149995i | ||||
\(961\) | −24.9628 | − | 18.1365i | −0.805252 | − | 0.585050i | ||||
\(962\) | 12.7800 | − | 13.8912i | 0.412042 | − | 0.447870i | ||||
\(963\) | −8.59372 | − | 6.69559i | −0.276929 | − | 0.215762i | ||||
\(964\) | −47.4299 | − | 11.1494i | −1.52762 | − | 0.359098i | ||||
\(965\) | 20.0940 | + | 23.7163i | 0.646848 | + | 0.763454i | ||||
\(966\) | 14.6231 | + | 10.0787i | 0.470490 | + | 0.324276i | ||||
\(967\) | −7.32446 | + | 22.5424i | −0.235539 | + | 0.724914i | 0.761511 | + | 0.648152i | \(0.224458\pi\) |
−0.997049 | + | 0.0767613i | \(0.975542\pi\) | |||||||
\(968\) | 7.38540 | − | 5.01109i | 0.237376 | − | 0.161062i | ||||
\(969\) | 20.8614 | + | 3.66400i | 0.670165 | + | 0.117704i | ||||
\(970\) | −30.4997 | + | 20.3094i | −0.979287 | + | 0.652097i | ||||
\(971\) | 3.13548 | + | 9.65003i | 0.100622 | + | 0.309684i | 0.988678 | − | 0.150052i | \(-0.0479441\pi\) |
−0.888056 | + | 0.459736i | \(0.847944\pi\) | |||||||
\(972\) | −30.7900 | − | 4.89659i | −0.987589 | − | 0.157058i | ||||
\(973\) | 2.72895 | − | 3.75607i | 0.0874860 | − | 0.120414i | ||||
\(974\) | 8.05563 | − | 1.62222i | 0.258119 | − | 0.0519793i | ||||
\(975\) | −7.72351 | − | 5.90821i | −0.247350 | − | 0.189214i | ||||
\(976\) | −9.48232 | + | 9.66383i | −0.303522 | + | 0.309332i | ||||
\(977\) | 9.69668 | + | 7.04505i | 0.310224 | + | 0.225391i | 0.731993 | − | 0.681312i | \(-0.238590\pi\) |
−0.421768 | + | 0.906704i | \(0.638590\pi\) | |||||||
\(978\) | 13.8302 | + | 18.0732i | 0.442240 | + | 0.577919i | ||||
\(979\) | 29.5585 | − | 9.60413i | 0.944693 | − | 0.306949i | ||||
\(980\) | 25.9110 | + | 4.08304i | 0.827697 | + | 0.130428i | ||||
\(981\) | −1.03403 | + | 30.7956i | −0.0330140 | + | 0.983227i | ||||
\(982\) | 26.0137 | − | 5.23857i | 0.830130 | − | 0.167169i | ||||
\(983\) | 16.6060 | + | 5.39561i | 0.529649 | + | 0.172093i | 0.561620 | − | 0.827396i | \(-0.310178\pi\) |
−0.0319711 | + | 0.999489i | \(0.510178\pi\) | |||||||
\(984\) | −22.9467 | − | 4.79556i | −0.731513 | − | 0.152877i | ||||
\(985\) | 42.8885 | + | 26.5160i | 1.36654 | + | 0.844869i | ||||
\(986\) | 3.75338 | − | 8.19272i | 0.119532 | − | 0.260909i | ||||
\(987\) | −10.1267 | − | 10.4725i | −0.322338 | − | 0.333343i | ||||
\(988\) | −4.95339 | + | 8.16987i | −0.157588 | + | 0.259918i | ||||
\(989\) | −36.9993 | + | 50.9252i | −1.17651 | + | 1.61933i | ||||
\(990\) | −30.3562 | + | 18.7748i | −0.964783 | + | 0.596702i | ||||
\(991\) | −6.39343 | − | 8.79981i | −0.203094 | − | 0.279535i | 0.695305 | − | 0.718715i | \(-0.255269\pi\) |
−0.898399 | + | 0.439180i | \(0.855269\pi\) | |||||||
\(992\) | −1.67146 | + | 1.35009i | −0.0530688 | + | 0.0428654i | ||||
\(993\) | 1.47153 | + | 10.4197i | 0.0466976 | + | 0.330660i | ||||
\(994\) | 0.875502 | − | 7.55034i | 0.0277692 | − | 0.239482i | ||||
\(995\) | 3.11760 | + | 3.67961i | 0.0988346 | + | 0.116651i | ||||
\(996\) | −35.4497 | + | 40.5082i | −1.12327 | + | 1.28355i | ||||
\(997\) | −3.02400 | + | 0.982558i | −0.0957711 | + | 0.0311179i | −0.356511 | − | 0.934291i | \(-0.616034\pi\) |
0.260740 | + | 0.965409i | \(0.416034\pi\) | |||||||
\(998\) | −7.64707 | + | 16.6917i | −0.242064 | + | 0.528367i | ||||
\(999\) | 25.2359 | + | 56.3751i | 0.798430 | + | 1.78363i |
(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 | 300.2.r.a.59.9 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.59.48 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.59.14 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.59.43 | yes | 224 | |
25.14 | even | 10 | inner | 300.2.r.a.239.43 | yes | 224 | |
75.14 | odd | 10 | inner | 300.2.r.a.239.14 | yes | 224 | |
100.39 | odd | 10 | inner | 300.2.r.a.239.48 | yes | 224 | |
300.239 | even | 10 | inner | 300.2.r.a.239.9 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.9 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.59.14 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.59.43 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.59.48 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.239.9 | yes | 224 | 300.239 | even | 10 | inner | |
300.2.r.a.239.14 | yes | 224 | 75.14 | odd | 10 | inner | |
300.2.r.a.239.43 | yes | 224 | 25.14 | even | 10 | inner | |
300.2.r.a.239.48 | yes | 224 | 100.39 | odd | 10 | inner |