Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(19,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 21, 0, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.cf (of order \(24\), degree \(8\), 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: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 187.14 | ||
Character | \(\chi\) | \(=\) | 672.187 |
Dual form | 672.2.cf.a.115.14 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{8}\right)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.11481 | − | 0.870166i | −0.788293 | − | 0.615300i | ||||
\(3\) | −0.608761 | + | 0.793353i | −0.351469 | + | 0.458043i | ||||
\(4\) | 0.485621 | + | 1.94015i | 0.242811 | + | 0.970074i | ||||
\(5\) | 1.92826 | + | 2.51295i | 0.862343 | + | 1.12383i | 0.991227 | + | 0.132167i | \(0.0421936\pi\) |
−0.128885 | + | 0.991660i | \(0.541140\pi\) | |||||||
\(6\) | 1.36901 | − | 0.354718i | 0.558894 | − | 0.144813i | ||||
\(7\) | 0.478372 | − | 2.60215i | 0.180808 | − | 0.983518i | ||||
\(8\) | 1.14687 | − | 2.58548i | 0.405481 | − | 0.914103i | ||||
\(9\) | −0.258819 | − | 0.965926i | −0.0862730 | − | 0.321975i | ||||
\(10\) | 0.0370391 | − | 4.47938i | 0.0117128 | − | 1.41650i | ||||
\(11\) | −0.484210 | − | 3.67794i | −0.145995 | − | 1.10894i | −0.894901 | − | 0.446265i | \(-0.852754\pi\) |
0.748906 | − | 0.662676i | \(-0.230579\pi\) | |||||||
\(12\) | −1.83485 | − | 0.795818i | −0.529676 | − | 0.229733i | ||||
\(13\) | −1.16612 | − | 2.81526i | −0.323423 | − | 0.780813i | −0.999050 | − | 0.0435693i | \(-0.986127\pi\) |
0.675627 | − | 0.737243i | \(-0.263873\pi\) | |||||||
\(14\) | −2.79759 | + | 2.48465i | −0.747689 | + | 0.664049i | ||||
\(15\) | −3.16751 | −0.817847 | ||||||||
\(16\) | −3.52834 | + | 1.88435i | −0.882086 | + | 0.471088i | ||||
\(17\) | −0.233216 | − | 0.403943i | −0.0565633 | − | 0.0979705i | 0.836357 | − | 0.548185i | \(-0.184681\pi\) |
−0.892921 | + | 0.450214i | \(0.851348\pi\) | |||||||
\(18\) | −0.551981 | + | 1.30204i | −0.130103 | + | 0.306895i | ||||
\(19\) | 0.566269 | − | 4.30124i | 0.129911 | − | 0.986772i | −0.795005 | − | 0.606602i | \(-0.792532\pi\) |
0.924917 | − | 0.380170i | \(-0.124135\pi\) | |||||||
\(20\) | −3.93910 | + | 4.96145i | −0.880809 | + | 1.10941i | ||||
\(21\) | 1.77321 | + | 1.96360i | 0.386945 | + | 0.428493i | ||||
\(22\) | −2.66062 | + | 4.52157i | −0.567245 | + | 0.964001i | ||||
\(23\) | 7.22999 | − | 1.93727i | 1.50756 | − | 0.403949i | 0.591934 | − | 0.805986i | \(-0.298365\pi\) |
0.915623 | + | 0.402038i | \(0.131698\pi\) | |||||||
\(24\) | 1.35302 | + | 2.48381i | 0.276185 | + | 0.507006i | ||||
\(25\) | −1.30266 | + | 4.86161i | −0.260533 | + | 0.972321i | ||||
\(26\) | −1.14974 | + | 4.15321i | −0.225482 | + | 0.814511i | ||||
\(27\) | 0.923880 | + | 0.382683i | 0.177801 | + | 0.0736475i | ||||
\(28\) | 5.28085 | − | 0.335545i | 0.997987 | − | 0.0634121i | ||||
\(29\) | −0.610755 | − | 1.47449i | −0.113414 | − | 0.273806i | 0.856973 | − | 0.515362i | \(-0.172342\pi\) |
−0.970387 | + | 0.241555i | \(0.922342\pi\) | |||||||
\(30\) | 3.53118 | + | 2.75626i | 0.644703 | + | 0.503222i | ||||
\(31\) | −0.413043 | − | 0.715411i | −0.0741847 | − | 0.128492i | 0.826547 | − | 0.562868i | \(-0.190302\pi\) |
−0.900731 | + | 0.434376i | \(0.856969\pi\) | |||||||
\(32\) | 5.57315 | + | 0.969541i | 0.985203 | + | 0.171392i | ||||
\(33\) | 3.21268 | + | 1.85484i | 0.559255 | + | 0.322886i | ||||
\(34\) | −0.0915044 | + | 0.653258i | −0.0156929 | + | 0.112033i | ||||
\(35\) | 7.46149 | − | 3.81548i | 1.26122 | − | 0.644933i | ||||
\(36\) | 1.74835 | − | 0.971221i | 0.291392 | − | 0.161870i | ||||
\(37\) | 3.11223 | − | 2.38810i | 0.511648 | − | 0.392601i | −0.320420 | − | 0.947276i | \(-0.603824\pi\) |
0.832067 | + | 0.554675i | \(0.187157\pi\) | |||||||
\(38\) | −4.37408 | + | 4.30234i | −0.709569 | + | 0.697931i | ||||
\(39\) | 2.94338 | + | 0.788678i | 0.471319 | + | 0.126289i | ||||
\(40\) | 8.70864 | − | 2.10342i | 1.37696 | − | 0.332580i | ||||
\(41\) | 8.29724 | + | 8.29724i | 1.29581 | + | 1.29581i | 0.931134 | + | 0.364678i | \(0.118821\pi\) |
0.364678 | + | 0.931134i | \(0.381179\pi\) | |||||||
\(42\) | −0.268134 | − | 3.73204i | −0.0413739 | − | 0.575866i | ||||
\(43\) | −10.4223 | − | 4.31705i | −1.58938 | − | 0.658344i | −0.599518 | − | 0.800361i | \(-0.704641\pi\) |
−0.989864 | + | 0.142018i | \(0.954641\pi\) | |||||||
\(44\) | 6.90061 | − | 2.72553i | 1.04031 | − | 0.410889i | ||||
\(45\) | 1.92826 | − | 2.51295i | 0.287448 | − | 0.374609i | ||||
\(46\) | −9.74584 | − | 4.13160i | −1.43695 | − | 0.609171i | ||||
\(47\) | 8.66642 | + | 5.00356i | 1.26413 | + | 0.729844i | 0.973870 | − | 0.227105i | \(-0.0729260\pi\) |
0.290257 | + | 0.956949i | \(0.406259\pi\) | |||||||
\(48\) | 0.652961 | − | 3.94635i | 0.0942468 | − | 0.569606i | ||||
\(49\) | −6.54232 | − | 2.48959i | −0.934617 | − | 0.355655i | ||||
\(50\) | 5.68263 | − | 4.28625i | 0.803646 | − | 0.606168i | ||||
\(51\) | 0.462443 | + | 0.0608817i | 0.0647549 | + | 0.00852515i | ||||
\(52\) | 4.89573 | − | 3.62959i | 0.678915 | − | 0.503334i | ||||
\(53\) | −7.50339 | + | 0.987840i | −1.03067 | + | 0.135690i | −0.626844 | − | 0.779145i | \(-0.715653\pi\) |
−0.403827 | + | 0.914835i | \(0.632320\pi\) | |||||||
\(54\) | −0.696956 | − | 1.23055i | −0.0948437 | − | 0.167457i | ||||
\(55\) | 8.30881 | − | 8.30881i | 1.12036 | − | 1.12036i | ||||
\(56\) | −6.17915 | − | 4.22115i | −0.825724 | − | 0.564075i | ||||
\(57\) | 3.06768 | + | 3.06768i | 0.406324 | + | 0.406324i | ||||
\(58\) | −0.602175 | + | 2.17524i | −0.0790695 | + | 0.285623i | ||||
\(59\) | −0.295095 | − | 2.24147i | −0.0384180 | − | 0.291814i | −0.999859 | − | 0.0168020i | \(-0.994652\pi\) |
0.961441 | − | 0.275012i | \(-0.0886818\pi\) | |||||||
\(60\) | −1.53821 | − | 6.14543i | −0.198582 | − | 0.793372i | ||||
\(61\) | −0.101037 | + | 0.767455i | −0.0129365 | + | 0.0982625i | −0.996695 | − | 0.0812346i | \(-0.974114\pi\) |
0.983759 | + | 0.179497i | \(0.0574470\pi\) | |||||||
\(62\) | −0.162061 | + | 1.15697i | −0.0205817 | + | 0.146935i | ||||
\(63\) | −2.63729 | + | 0.211413i | −0.332267 | + | 0.0266355i | ||||
\(64\) | −5.36936 | − | 5.93042i | −0.671170 | − | 0.741303i | ||||
\(65\) | 4.82604 | − | 8.35895i | 0.598597 | − | 1.03680i | ||||
\(66\) | −1.96752 | − | 4.86336i | −0.242185 | − | 0.598639i | ||||
\(67\) | 3.95660 | + | 3.03601i | 0.483376 | + | 0.370908i | 0.821513 | − | 0.570189i | \(-0.193130\pi\) |
−0.338137 | + | 0.941097i | \(0.609797\pi\) | |||||||
\(68\) | 0.670454 | − | 0.648638i | 0.0813044 | − | 0.0786589i | ||||
\(69\) | −2.86440 | + | 6.91527i | −0.344833 | + | 0.832501i | ||||
\(70\) | −11.6383 | − | 2.23919i | −1.39104 | − | 0.267634i | ||||
\(71\) | −8.58760 | + | 8.58760i | −1.01916 | + | 1.01916i | −0.0193483 | + | 0.999813i | \(0.506159\pi\) |
−0.999813 | + | 0.0193483i | \(0.993841\pi\) | |||||||
\(72\) | −2.79421 | − | 0.438624i | −0.329301 | − | 0.0516924i | ||||
\(73\) | 0.885238 | − | 3.30375i | 0.103609 | − | 0.386675i | −0.894574 | − | 0.446919i | \(-0.852521\pi\) |
0.998184 | + | 0.0602440i | \(0.0191879\pi\) | |||||||
\(74\) | −5.54760 | − | 0.0458720i | −0.644896 | − | 0.00533251i | ||||
\(75\) | −3.06396 | − | 3.99303i | −0.353796 | − | 0.461076i | ||||
\(76\) | 8.62003 | − | 0.990129i | 0.988786 | − | 0.113576i | ||||
\(77\) | −9.80217 | − | 0.499439i | −1.11706 | − | 0.0569163i | ||||
\(78\) | −2.59505 | − | 3.44046i | −0.293831 | − | 0.389556i | ||||
\(79\) | 2.49152 | − | 4.31544i | 0.280318 | − | 0.485525i | −0.691145 | − | 0.722716i | \(-0.742893\pi\) |
0.971463 | + | 0.237191i | \(0.0762268\pi\) | |||||||
\(80\) | −11.5388 | − | 5.23304i | −1.29008 | − | 0.585072i | ||||
\(81\) | −0.866025 | + | 0.500000i | −0.0962250 | + | 0.0555556i | ||||
\(82\) | −2.02990 | − | 16.4699i | −0.224165 | − | 1.81879i | ||||
\(83\) | 14.3259 | − | 5.93396i | 1.57247 | − | 0.651337i | 0.585269 | − | 0.810839i | \(-0.300989\pi\) |
0.987198 | + | 0.159502i | \(0.0509888\pi\) | |||||||
\(84\) | −2.94857 | + | 4.39385i | −0.321716 | + | 0.479408i | ||||
\(85\) | 0.565388 | − | 1.36497i | 0.0613249 | − | 0.148051i | ||||
\(86\) | 7.86235 | + | 13.8818i | 0.847819 | + | 1.49692i | ||||
\(87\) | 1.54160 | + | 0.413070i | 0.165277 | + | 0.0442857i | ||||
\(88\) | −10.0646 | − | 2.96622i | −1.07289 | − | 0.316200i | ||||
\(89\) | −0.647173 | − | 2.41528i | −0.0686002 | − | 0.256020i | 0.923106 | − | 0.384546i | \(-0.125642\pi\) |
−0.991706 | + | 0.128526i | \(0.958975\pi\) | |||||||
\(90\) | −4.33633 | + | 1.12357i | −0.457090 | + | 0.118435i | ||||
\(91\) | −7.88356 | + | 1.68767i | −0.826421 | + | 0.176916i | ||||
\(92\) | 7.26963 | + | 13.0865i | 0.757911 | + | 1.36436i | ||||
\(93\) | 0.819019 | + | 0.107826i | 0.0849283 | + | 0.0111810i | ||||
\(94\) | −5.30752 | − | 13.1193i | −0.547429 | − | 1.35315i | ||||
\(95\) | 11.9007 | − | 6.87089i | 1.22099 | − | 0.704938i | ||||
\(96\) | −4.16191 | + | 3.83126i | −0.424773 | + | 0.391026i | ||||
\(97\) | 4.60116i | 0.467177i | 0.972336 | + | 0.233589i | \(0.0750469\pi\) | ||||
−0.972336 | + | 0.233589i | \(0.924953\pi\) | |||||||
\(98\) | 5.12712 | + | 8.46833i | 0.517917 | + | 0.855431i | ||||
\(99\) | −3.42730 | + | 1.41963i | −0.344456 | + | 0.142678i | ||||
\(100\) | −10.0648 | − | 0.166459i | −1.00648 | − | 0.0166459i | ||||
\(101\) | −0.729800 | + | 0.0960800i | −0.0726178 | + | 0.00956032i | −0.166748 | − | 0.986000i | \(-0.553326\pi\) |
0.0941297 | + | 0.995560i | \(0.469993\pi\) | |||||||
\(102\) | −0.462560 | − | 0.470274i | −0.0458003 | − | 0.0465640i | ||||
\(103\) | 8.95422 | − | 2.39927i | 0.882285 | − | 0.236408i | 0.210892 | − | 0.977509i | \(-0.432363\pi\) |
0.671393 | + | 0.741102i | \(0.265696\pi\) | |||||||
\(104\) | −8.61618 | − | 0.213775i | −0.844886 | − | 0.0209624i | ||||
\(105\) | −1.51525 | + | 8.24232i | −0.147873 | + | 0.804368i | ||||
\(106\) | 9.22447 | + | 5.42794i | 0.895960 | + | 0.527208i | ||||
\(107\) | 13.3083 | − | 10.2118i | 1.28656 | − | 0.987213i | 0.286989 | − | 0.957934i | \(-0.407346\pi\) |
0.999571 | − | 0.0292790i | \(-0.00932114\pi\) | |||||||
\(108\) | −0.293807 | + | 1.97830i | −0.0282716 | + | 0.190362i | ||||
\(109\) | −6.04475 | − | 4.63830i | −0.578982 | − | 0.444269i | 0.277295 | − | 0.960785i | \(-0.410562\pi\) |
−0.856277 | + | 0.516516i | \(0.827229\pi\) | |||||||
\(110\) | −16.4928 | + | 2.03273i | −1.57253 | + | 0.193814i | ||||
\(111\) | 3.92288i | 0.372343i | ||||||||
\(112\) | 3.21550 | + | 10.0827i | 0.303836 | + | 0.952724i | ||||
\(113\) | 16.6088i | 1.56242i | 0.624267 | + | 0.781211i | \(0.285398\pi\) | ||||
−0.624267 | + | 0.781211i | \(0.714602\pi\) | |||||||
\(114\) | −0.750502 | − | 6.08929i | −0.0702909 | − | 0.570314i | ||||
\(115\) | 18.8095 | + | 14.4331i | 1.75400 | + | 1.34589i | ||||
\(116\) | 2.56414 | − | 1.90100i | 0.238074 | − | 0.176503i | ||||
\(117\) | −2.41752 | + | 1.85503i | −0.223500 | + | 0.171497i | ||||
\(118\) | −1.62147 | + | 2.75560i | −0.149269 | + | 0.253673i | ||||
\(119\) | −1.16268 | + | 0.413628i | −0.106583 | + | 0.0379172i | ||||
\(120\) | −3.63273 | + | 8.18951i | −0.331621 | + | 0.747597i | ||||
\(121\) | −2.66762 | + | 0.714786i | −0.242511 | + | 0.0649805i | ||||
\(122\) | 0.780451 | − | 0.767650i | 0.0706587 | − | 0.0694998i | ||||
\(123\) | −11.6337 | + | 1.53160i | −1.04897 | + | 0.138100i | ||||
\(124\) | 1.18742 | − | 1.14878i | 0.106634 | − | 0.103164i | ||||
\(125\) | −0.0968809 | + | 0.0401294i | −0.00866529 | + | 0.00358928i | ||||
\(126\) | 3.12405 | + | 2.05920i | 0.278313 | + | 0.183448i | ||||
\(127\) | − | 5.37991i | − | 0.477390i | −0.971095 | − | 0.238695i | \(-0.923280\pi\) | ||
0.971095 | − | 0.238695i | \(-0.0767196\pi\) | |||||||
\(128\) | 0.825387 | + | 11.2836i | 0.0729546 | + | 0.997335i | ||||
\(129\) | 9.76962 | − | 5.64050i | 0.860167 | − | 0.496618i | ||||
\(130\) | −12.6538 | + | 5.11922i | −1.10981 | + | 0.448985i | ||||
\(131\) | −17.3557 | − | 2.28492i | −1.51637 | − | 0.199634i | −0.674082 | − | 0.738656i | \(-0.735461\pi\) |
−0.842292 | + | 0.539022i | \(0.818794\pi\) | |||||||
\(132\) | −2.03852 | + | 7.13382i | −0.177430 | + | 0.620919i | ||||
\(133\) | −10.9216 | − | 3.53111i | −0.947020 | − | 0.306186i | ||||
\(134\) | −1.76905 | − | 6.82749i | −0.152822 | − | 0.589805i | ||||
\(135\) | 0.819811 | + | 3.05958i | 0.0705581 | + | 0.263327i | ||||
\(136\) | −1.31185 | + | 0.139704i | −0.112491 | + | 0.0119795i | ||||
\(137\) | 0.632074 | + | 0.169364i | 0.0540018 | + | 0.0144697i | 0.285719 | − | 0.958314i | \(-0.407768\pi\) |
−0.231717 | + | 0.972783i | \(0.574434\pi\) | |||||||
\(138\) | 9.21071 | − | 5.21674i | 0.784068 | − | 0.444078i | ||||
\(139\) | −6.38437 | + | 15.4132i | −0.541516 | + | 1.30733i | 0.382138 | + | 0.924105i | \(0.375188\pi\) |
−0.923653 | + | 0.383229i | \(0.874812\pi\) | |||||||
\(140\) | 11.0260 | + | 12.6235i | 0.931871 | + | 1.06688i | ||||
\(141\) | −9.24537 | + | 3.82956i | −0.778601 | + | 0.322507i | ||||
\(142\) | 17.0462 | − | 2.10094i | 1.43049 | − | 0.176307i | ||||
\(143\) | −9.78972 | + | 5.65210i | −0.818657 | + | 0.472652i | ||||
\(144\) | 2.73335 | + | 2.92041i | 0.227779 | + | 0.243368i | ||||
\(145\) | 2.52764 | − | 4.37800i | 0.209909 | − | 0.363573i | ||||
\(146\) | −3.86169 | + | 2.91277i | −0.319596 | + | 0.241062i | ||||
\(147\) | 5.95783 | − | 3.67481i | 0.491394 | − | 0.303093i | ||||
\(148\) | 6.14463 | + | 4.87848i | 0.505086 | + | 0.401008i | ||||
\(149\) | 0.978107 | + | 1.27469i | 0.0801296 | + | 0.104427i | 0.831698 | − | 0.555228i | \(-0.187369\pi\) |
−0.751568 | + | 0.659655i | \(0.770702\pi\) | |||||||
\(150\) | −0.0588543 | + | 7.11764i | −0.00480544 | + | 0.581153i | ||||
\(151\) | −0.311320 | + | 1.16186i | −0.0253349 | + | 0.0945510i | −0.977436 | − | 0.211233i | \(-0.932252\pi\) |
0.952101 | + | 0.305784i | \(0.0989187\pi\) | |||||||
\(152\) | −10.4713 | − | 6.39705i | −0.849336 | − | 0.518870i | ||||
\(153\) | −0.329818 | + | 0.329818i | −0.0266642 | + | 0.0266642i | ||||
\(154\) | 10.4930 | + | 9.08630i | 0.845551 | + | 0.732195i | ||||
\(155\) | 1.00134 | − | 2.41745i | 0.0804297 | − | 0.194175i | ||||
\(156\) | −0.100780 | + | 6.09360i | −0.00806888 | + | 0.487878i | ||||
\(157\) | 7.28958 | + | 5.59349i | 0.581772 | + | 0.446409i | 0.857252 | − | 0.514898i | \(-0.172170\pi\) |
−0.275480 | + | 0.961307i | \(0.588837\pi\) | |||||||
\(158\) | −6.53273 | + | 2.64288i | −0.519716 | + | 0.210256i | ||||
\(159\) | 3.78407 | − | 6.55420i | 0.300096 | − | 0.519782i | ||||
\(160\) | 8.31005 | + | 15.8746i | 0.656967 | + | 1.25500i | ||||
\(161\) | −1.58243 | − | 19.7402i | −0.124713 | − | 1.55575i | ||||
\(162\) | 1.40054 | + | 0.196179i | 0.110037 | + | 0.0154133i | ||||
\(163\) | −1.75516 | + | 13.3317i | −0.137475 | + | 1.04422i | 0.774093 | + | 0.633072i | \(0.218206\pi\) |
−0.911567 | + | 0.411151i | \(0.865127\pi\) | |||||||
\(164\) | −12.0686 | + | 20.1272i | −0.942396 | + | 1.57167i | ||||
\(165\) | 1.53374 | + | 11.6499i | 0.119401 | + | 0.906944i | ||||
\(166\) | −21.1342 | − | 5.85061i | −1.64033 | − | 0.454095i | ||||
\(167\) | −10.2535 | − | 10.2535i | −0.793441 | − | 0.793441i | 0.188611 | − | 0.982052i | \(-0.439602\pi\) |
−0.982052 | + | 0.188611i | \(0.939602\pi\) | |||||||
\(168\) | 7.11049 | − | 2.33258i | 0.548586 | − | 0.179962i | ||||
\(169\) | 2.62653 | − | 2.62653i | 0.202041 | − | 0.202041i | ||||
\(170\) | −1.81805 | + | 1.02970i | −0.139438 | + | 0.0789746i | ||||
\(171\) | −4.30124 | + | 0.566269i | −0.328924 | + | 0.0433037i | ||||
\(172\) | 3.31443 | − | 22.3172i | 0.252723 | − | 1.70167i | ||||
\(173\) | 17.3989 | + | 2.29061i | 1.32282 | + | 0.174152i | 0.758645 | − | 0.651505i | \(-0.225862\pi\) |
0.564173 | + | 0.825657i | \(0.309195\pi\) | |||||||
\(174\) | −1.35916 | − | 1.80194i | −0.103037 | − | 0.136605i | ||||
\(175\) | 12.0275 | + | 5.71538i | 0.909190 | + | 0.432042i | ||||
\(176\) | 8.63901 | + | 12.0646i | 0.651190 | + | 0.909405i | ||||
\(177\) | 1.95792 | + | 1.13040i | 0.147166 | + | 0.0849663i | ||||
\(178\) | −1.38022 | + | 3.25574i | −0.103452 | + | 0.244028i | ||||
\(179\) | −7.40223 | + | 9.64677i | −0.553269 | + | 0.721034i | −0.983343 | − | 0.181760i | \(-0.941821\pi\) |
0.430074 | + | 0.902793i | \(0.358487\pi\) | |||||||
\(180\) | 5.81190 | + | 2.52076i | 0.433194 | + | 0.187886i | ||||
\(181\) | −4.53606 | − | 1.87890i | −0.337163 | − | 0.139657i | 0.207677 | − | 0.978197i | \(-0.433410\pi\) |
−0.544840 | + | 0.838540i | \(0.683410\pi\) | |||||||
\(182\) | 10.2573 | + | 4.97857i | 0.760318 | + | 0.369036i | ||||
\(183\) | −0.547355 | − | 0.547355i | −0.0404616 | − | 0.0404616i | ||||
\(184\) | 3.28312 | − | 20.9148i | 0.242035 | − | 1.54186i | ||||
\(185\) | 12.0024 | + | 3.21602i | 0.882431 | + | 0.236447i | ||||
\(186\) | −0.819227 | − | 0.832888i | −0.0600686 | − | 0.0610703i | ||||
\(187\) | −1.37275 | + | 1.05335i | −0.100386 | + | 0.0770286i | ||||
\(188\) | −5.49904 | + | 19.2440i | −0.401059 | + | 1.40351i | ||||
\(189\) | 1.43776 | − | 2.22100i | 0.104581 | − | 0.161554i | ||||
\(190\) | −19.2459 | − | 2.69585i | −1.39625 | − | 0.195577i | ||||
\(191\) | −15.5113 | − | 8.95544i | −1.12236 | − | 0.647993i | −0.180355 | − | 0.983602i | \(-0.557725\pi\) |
−0.942001 | + | 0.335609i | \(0.891058\pi\) | |||||||
\(192\) | 7.97358 | − | 0.649589i | 0.575444 | − | 0.0468800i | ||||
\(193\) | 11.8114 | + | 20.4580i | 0.850207 | + | 1.47260i | 0.881022 | + | 0.473076i | \(0.156856\pi\) |
−0.0308151 | + | 0.999525i | \(0.509810\pi\) | |||||||
\(194\) | 4.00377 | − | 5.12944i | 0.287454 | − | 0.368272i | ||||
\(195\) | 3.69369 | + | 8.91736i | 0.264511 | + | 0.638585i | ||||
\(196\) | 1.65307 | − | 13.9021i | 0.118077 | − | 0.993004i | ||||
\(197\) | −15.2069 | − | 6.29890i | −1.08345 | − | 0.448778i | −0.231730 | − | 0.972780i | \(-0.574438\pi\) |
−0.851717 | + | 0.524002i | \(0.824438\pi\) | |||||||
\(198\) | 5.05612 | + | 1.39969i | 0.359322 | + | 0.0994717i | ||||
\(199\) | 6.95702 | − | 25.9640i | 0.493170 | − | 1.84054i | −0.0468766 | − | 0.998901i | \(-0.514927\pi\) |
0.540047 | − | 0.841635i | \(-0.318407\pi\) | |||||||
\(200\) | 11.0756 | + | 8.94365i | 0.783161 | + | 0.632412i | ||||
\(201\) | −4.81726 | + | 1.29078i | −0.339783 | + | 0.0910446i | ||||
\(202\) | 0.897197 | + | 0.527936i | 0.0631266 | + | 0.0371455i | ||||
\(203\) | −4.12901 | + | 0.883917i | −0.289800 | + | 0.0620388i | ||||
\(204\) | 0.106452 | + | 0.926772i | 0.00745316 | + | 0.0648870i | ||||
\(205\) | −4.85137 | + | 36.8498i | −0.338834 | + | 2.57370i | ||||
\(206\) | −12.0701 | − | 5.11691i | −0.840961 | − | 0.356512i | ||||
\(207\) | −3.74252 | − | 6.48223i | −0.260123 | − | 0.450546i | ||||
\(208\) | 9.41942 | + | 7.73583i | 0.653119 | + | 0.536383i | ||||
\(209\) | −16.0939 | −1.11324 | ||||||||
\(210\) | 8.86140 | − | 7.87013i | 0.611495 | − | 0.543091i | ||||
\(211\) | 3.48448 | + | 8.41228i | 0.239881 | + | 0.579125i | 0.997270 | − | 0.0738392i | \(-0.0235252\pi\) |
−0.757389 | + | 0.652964i | \(0.773525\pi\) | |||||||
\(212\) | −5.56036 | − | 14.0780i | −0.381887 | − | 0.966879i | ||||
\(213\) | −1.58520 | − | 12.0408i | −0.108616 | − | 0.825022i | ||||
\(214\) | −23.7222 | − | 0.196154i | −1.62162 | − | 0.0134088i | ||||
\(215\) | −9.24828 | − | 34.5151i | −0.630728 | − | 2.35391i | ||||
\(216\) | 2.04899 | − | 1.94978i | 0.139416 | − | 0.132666i | ||||
\(217\) | −2.05919 | + | 0.732565i | −0.139787 | + | 0.0497297i | ||||
\(218\) | 2.70268 | + | 10.4308i | 0.183049 | + | 0.706462i | ||||
\(219\) | 2.08214 | + | 2.71350i | 0.140698 | + | 0.183362i | ||||
\(220\) | 20.1553 | + | 12.0854i | 1.35887 | + | 0.814797i | ||||
\(221\) | −0.865246 | + | 1.12761i | −0.0582027 | + | 0.0758513i | ||||
\(222\) | 3.41356 | − | 4.37328i | 0.229103 | − | 0.293516i | ||||
\(223\) | −27.0292 | −1.81001 | −0.905003 | − | 0.425405i | \(-0.860132\pi\) | ||||
−0.905003 | + | 0.425405i | \(0.860132\pi\) | |||||||
\(224\) | 5.18893 | − | 14.0383i | 0.346700 | − | 0.937976i | ||||
\(225\) | 5.03311 | 0.335540 | ||||||||
\(226\) | 14.4524 | − | 18.5157i | 0.961359 | − | 1.23165i | ||||
\(227\) | −0.481980 | + | 0.628129i | −0.0319902 | + | 0.0416904i | −0.809075 | − | 0.587706i | \(-0.800031\pi\) |
0.777084 | + | 0.629396i | \(0.216698\pi\) | |||||||
\(228\) | −4.46202 | + | 7.44149i | −0.295505 | + | 0.492824i | ||||
\(229\) | −0.371317 | − | 0.483910i | −0.0245373 | − | 0.0319777i | 0.780924 | − | 0.624627i | \(-0.214749\pi\) |
−0.805461 | + | 0.592649i | \(0.798082\pi\) | |||||||
\(230\) | −8.40998 | − | 32.4576i | −0.554537 | − | 2.14019i | ||||
\(231\) | 6.36342 | − | 7.47255i | 0.418682 | − | 0.491658i | ||||
\(232\) | −4.51272 | − | 0.111965i | −0.296275 | − | 0.00735084i | ||||
\(233\) | 4.15120 | + | 15.4925i | 0.271954 | + | 1.01495i | 0.957855 | + | 0.287251i | \(0.0927414\pi\) |
−0.685901 | + | 0.727694i | \(0.740592\pi\) | |||||||
\(234\) | 4.30927 | + | 0.0356324i | 0.281706 | + | 0.00232937i | ||||
\(235\) | 4.13737 | + | 31.4264i | 0.269892 | + | 2.05004i | ||||
\(236\) | 4.20547 | − | 1.66103i | 0.273753 | − | 0.108124i | ||||
\(237\) | 1.90693 | + | 4.60373i | 0.123868 | + | 0.299044i | ||||
\(238\) | 1.65610 | + | 0.550608i | 0.107349 | + | 0.0356906i | ||||
\(239\) | −27.8702 | −1.80277 | −0.901385 | − | 0.433018i | \(-0.857449\pi\) | ||||
−0.901385 | + | 0.433018i | \(0.857449\pi\) | |||||||
\(240\) | 11.1761 | − | 5.96871i | 0.721411 | − | 0.385278i | ||||
\(241\) | −3.07474 | − | 5.32560i | −0.198061 | − | 0.343052i | 0.749839 | − | 0.661621i | \(-0.230131\pi\) |
−0.947900 | + | 0.318569i | \(0.896798\pi\) | |||||||
\(242\) | 3.59588 | + | 1.52442i | 0.231152 | + | 0.0979932i | ||||
\(243\) | 0.130526 | − | 0.991445i | 0.00837326 | − | 0.0636012i | ||||
\(244\) | −1.53804 | + | 0.176665i | −0.0984630 | + | 0.0113098i | ||||
\(245\) | −6.35906 | − | 21.2411i | −0.406265 | − | 1.35704i | ||||
\(246\) | 14.3021 | + | 8.41579i | 0.911872 | + | 0.536571i | ||||
\(247\) | −12.7695 | + | 3.42156i | −0.812501 | + | 0.217709i | ||||
\(248\) | −2.32339 | + | 0.247426i | −0.147535 | + | 0.0157116i | ||||
\(249\) | −4.01330 | + | 14.9778i | −0.254332 | + | 0.949182i | ||||
\(250\) | 0.142923 | + | 0.0395657i | 0.00903927 | + | 0.00250235i | ||||
\(251\) | −11.3493 | − | 4.70103i | −0.716361 | − | 0.296726i | −0.00542708 | − | 0.999985i | \(-0.501728\pi\) |
−0.710934 | + | 0.703259i | \(0.751728\pi\) | |||||||
\(252\) | −1.69090 | − | 5.01407i | −0.106517 | − | 0.315857i | ||||
\(253\) | −10.6260 | − | 25.6534i | −0.668051 | − | 1.61282i | ||||
\(254\) | −4.68142 | + | 5.99760i | −0.293738 | + | 0.376323i | ||||
\(255\) | 0.738715 | + | 1.27949i | 0.0462601 | + | 0.0801249i | ||||
\(256\) | 8.89842 | − | 13.2973i | 0.556151 | − | 0.831081i | ||||
\(257\) | 12.2182 | + | 7.05417i | 0.762149 | + | 0.440027i | 0.830067 | − | 0.557664i | \(-0.188302\pi\) |
−0.0679175 | + | 0.997691i | \(0.521635\pi\) | |||||||
\(258\) | −15.7995 | − | 2.21309i | −0.983633 | − | 0.137781i | ||||
\(259\) | −4.72538 | − | 9.24088i | −0.293621 | − | 0.574200i | ||||
\(260\) | 18.5612 | + | 5.30395i | 1.15112 | + | 0.328937i | ||||
\(261\) | −1.26618 | + | 0.971570i | −0.0783743 | + | 0.0601387i | ||||
\(262\) | 17.3601 | + | 17.6496i | 1.07251 | + | 1.09040i | ||||
\(263\) | 5.37894 | + | 1.44128i | 0.331680 | + | 0.0888733i | 0.420816 | − | 0.907146i | \(-0.361744\pi\) |
−0.0891360 | + | 0.996019i | \(0.528411\pi\) | |||||||
\(264\) | 8.48017 | − | 6.17903i | 0.521919 | − | 0.380293i | ||||
\(265\) | −16.9509 | − | 16.9509i | −1.04128 | − | 1.04128i | ||||
\(266\) | 9.10287 | + | 13.4401i | 0.558133 | + | 0.824066i | ||||
\(267\) | 2.31015 | + | 0.956895i | 0.141379 | + | 0.0585610i | ||||
\(268\) | −3.96889 | + | 9.15075i | −0.242439 | + | 0.558971i | ||||
\(269\) | −13.0556 | + | 17.0143i | −0.796012 | + | 1.03738i | 0.202301 | + | 0.979323i | \(0.435158\pi\) |
−0.998313 | + | 0.0580596i | \(0.981509\pi\) | |||||||
\(270\) | 1.74840 | − | 4.12423i | 0.106404 | − | 0.250993i | ||||
\(271\) | 7.12641 | + | 4.11443i | 0.432898 | + | 0.249934i | 0.700581 | − | 0.713573i | \(-0.252924\pi\) |
−0.267682 | + | 0.963507i | \(0.586258\pi\) | |||||||
\(272\) | 1.58404 | + | 0.985787i | 0.0960465 | + | 0.0597721i | ||||
\(273\) | 3.46029 | − | 7.28183i | 0.209426 | − | 0.440717i | ||||
\(274\) | −0.557271 | − | 0.738819i | −0.0336660 | − | 0.0446337i | ||||
\(275\) | 18.5115 | + | 2.43708i | 1.11628 | + | 0.146962i | ||||
\(276\) | −14.8077 | − | 2.19915i | −0.891317 | − | 0.132374i | ||||
\(277\) | −6.18375 | + | 0.814106i | −0.371545 | + | 0.0489149i | −0.313987 | − | 0.949427i | \(-0.601665\pi\) |
−0.0575583 | + | 0.998342i | \(0.518332\pi\) | |||||||
\(278\) | 20.5295 | − | 11.6274i | 1.23128 | − | 0.697367i | ||||
\(279\) | −0.584131 | + | 0.584131i | −0.0349710 | + | 0.0349710i | ||||
\(280\) | −1.30744 | − | 23.6674i | −0.0781343 | − | 1.41440i | ||||
\(281\) | 18.2947 | + | 18.2947i | 1.09137 | + | 1.09137i | 0.995382 | + | 0.0959891i | \(0.0306014\pi\) |
0.0959891 | + | 0.995382i | \(0.469399\pi\) | |||||||
\(282\) | 13.6392 | + | 3.77576i | 0.812204 | + | 0.224844i | ||||
\(283\) | 2.11145 | + | 16.0380i | 0.125513 | + | 0.953363i | 0.932088 | + | 0.362232i | \(0.117985\pi\) |
−0.806575 | + | 0.591131i | \(0.798682\pi\) | |||||||
\(284\) | −20.8315 | − | 12.4909i | −1.23612 | − | 0.741198i | ||||
\(285\) | −1.79366 | + | 13.6242i | −0.106247 | + | 0.807029i | ||||
\(286\) | 15.8320 | + | 2.21765i | 0.936165 | + | 0.131132i | ||||
\(287\) | 25.5598 | − | 17.6215i | 1.50875 | − | 1.04016i | ||||
\(288\) | −0.505932 | − | 5.63418i | −0.0298123 | − | 0.331997i | ||||
\(289\) | 8.39122 | − | 14.5340i | 0.493601 | − | 0.854942i | ||||
\(290\) | −6.62743 | + | 2.68119i | −0.389176 | + | 0.157445i | ||||
\(291\) | −3.65035 | − | 2.80101i | −0.213987 | − | 0.164198i | ||||
\(292\) | 6.83966 | + | 0.113119i | 0.400261 | + | 0.00661980i | ||||
\(293\) | 1.28076 | − | 3.09203i | 0.0748228 | − | 0.180638i | −0.882043 | − | 0.471169i | \(-0.843832\pi\) |
0.956866 | + | 0.290531i | \(0.0938320\pi\) | |||||||
\(294\) | −9.83957 | − | 1.08758i | −0.573855 | − | 0.0634289i | ||||
\(295\) | 5.06368 | − | 5.06368i | 0.294819 | − | 0.294819i | ||||
\(296\) | −2.60504 | − | 10.7854i | −0.151415 | − | 0.626891i | ||||
\(297\) | 0.960136 | − | 3.58328i | 0.0557127 | − | 0.207923i | ||||
\(298\) | 0.0187880 | − | 2.27216i | 0.00108836 | − | 0.131623i | ||||
\(299\) | −13.8850 | − | 18.0952i | −0.802987 | − | 1.04647i | ||||
\(300\) | 6.25914 | − | 7.88364i | 0.361372 | − | 0.455162i | ||||
\(301\) | −16.2193 | + | 25.0551i | −0.934866 | + | 1.44415i | ||||
\(302\) | 1.35808 | − | 1.02436i | 0.0781486 | − | 0.0589453i | ||||
\(303\) | 0.368049 | − | 0.637479i | 0.0211438 | − | 0.0366222i | ||||
\(304\) | 6.10707 | + | 16.2433i | 0.350264 | + | 0.931618i | ||||
\(305\) | −2.12340 | + | 1.22595i | −0.121586 | + | 0.0701975i | ||||
\(306\) | 0.654682 | − | 0.0806893i | 0.0374257 | − | 0.00461270i | ||||
\(307\) | 15.3303 | − | 6.35000i | 0.874945 | − | 0.362414i | 0.100411 | − | 0.994946i | \(-0.467984\pi\) |
0.774534 | + | 0.632532i | \(0.217984\pi\) | |||||||
\(308\) | −3.79116 | − | 19.2602i | −0.216021 | − | 1.09745i | ||||
\(309\) | −3.54751 | + | 8.56444i | −0.201811 | + | 0.487214i | ||||
\(310\) | −3.21990 | + | 1.82368i | −0.182878 | + | 0.103578i | ||||
\(311\) | 7.29109 | + | 1.95364i | 0.413440 | + | 0.110781i | 0.459542 | − | 0.888156i | \(-0.348013\pi\) |
−0.0461025 | + | 0.998937i | \(0.514680\pi\) | |||||||
\(312\) | 5.41480 | − | 6.70553i | 0.306552 | − | 0.379626i | ||||
\(313\) | −3.33497 | − | 12.4463i | −0.188504 | − | 0.703506i | −0.993853 | − | 0.110706i | \(-0.964689\pi\) |
0.805349 | − | 0.592801i | \(-0.201978\pi\) | |||||||
\(314\) | −3.25926 | − | 12.5789i | −0.183931 | − | 0.709866i | ||||
\(315\) | −5.61664 | − | 6.21973i | −0.316462 | − | 0.350442i | ||||
\(316\) | 9.58253 | + | 2.73825i | 0.539059 | + | 0.154038i | ||||
\(317\) | −15.0316 | − | 1.97895i | −0.844259 | − | 0.111149i | −0.304026 | − | 0.952664i | \(-0.598331\pi\) |
−0.540234 | + | 0.841515i | \(0.681664\pi\) | |||||||
\(318\) | −9.92178 | + | 4.01395i | −0.556386 | + | 0.225091i | ||||
\(319\) | −5.12736 | + | 2.96029i | −0.287077 | + | 0.165744i | ||||
\(320\) | 4.54937 | − | 24.9283i | 0.254317 | − | 1.39354i | ||||
\(321\) | 16.7747i | 0.936274i | ||||||||
\(322\) | −15.4132 | + | 23.3837i | −0.858942 | + | 1.30312i | ||||
\(323\) | −1.86952 | + | 0.774380i | −0.104023 | + | 0.0430877i | ||||
\(324\) | −1.39063 | − | 1.43741i | −0.0772575 | − | 0.0798559i | ||||
\(325\) | 15.2058 | − | 2.00188i | 0.843463 | − | 0.111044i | ||||
\(326\) | 13.5575 | − | 13.3351i | 0.750881 | − | 0.738565i | ||||
\(327\) | 7.35962 | − | 1.97201i | 0.406988 | − | 0.109052i | ||||
\(328\) | 30.9682 | − | 11.9364i | 1.70993 | − | 0.659079i | ||||
\(329\) | 17.1658 | − | 20.1577i | 0.946379 | − | 1.11133i | ||||
\(330\) | 8.42753 | − | 14.3221i | 0.463920 | − | 0.788405i | ||||
\(331\) | −18.7057 | + | 14.3534i | −1.02816 | + | 0.788934i | −0.977745 | − | 0.209795i | \(-0.932720\pi\) |
−0.0504128 | + | 0.998728i | \(0.516054\pi\) | |||||||
\(332\) | 18.4697 | + | 24.9126i | 1.01366 | + | 1.36726i | ||||
\(333\) | −3.11223 | − | 2.38810i | −0.170549 | − | 0.130867i | ||||
\(334\) | 2.50850 | + | 20.3530i | 0.137259 | + | 1.11367i | ||||
\(335\) | 15.7970i | 0.863080i | ||||||||
\(336\) | −9.95661 | − | 3.58692i | −0.543177 | − | 0.195683i | ||||
\(337\) | 7.18298i | 0.391282i | 0.980676 | + | 0.195641i | \(0.0626787\pi\) | ||||
−0.980676 | + | 0.195641i | \(0.937321\pi\) | |||||||
\(338\) | −5.21361 | + | 0.642575i | −0.283583 | + | 0.0349515i | ||||
\(339\) | −13.1766 | − | 10.1108i | −0.715656 | − | 0.549142i | ||||
\(340\) | 2.92280 | + | 0.434079i | 0.158511 | + | 0.0235412i | ||||
\(341\) | −2.43124 | + | 1.86556i | −0.131659 | + | 0.101026i | ||||
\(342\) | 5.28783 | + | 3.11151i | 0.285933 | + | 0.168251i | ||||
\(343\) | −9.60793 | + | 15.8331i | −0.518779 | + | 0.854908i | ||||
\(344\) | −23.1147 | + | 21.9954i | −1.24626 | + | 1.18591i | ||||
\(345\) | −22.9011 | + | 6.13632i | −1.23295 | + | 0.330368i | ||||
\(346\) | −17.4034 | − | 17.6936i | −0.935611 | − | 0.951213i | ||||
\(347\) | 20.5427 | − | 2.70450i | 1.10279 | − | 0.145185i | 0.442918 | − | 0.896562i | \(-0.353943\pi\) |
0.659873 | + | 0.751377i | \(0.270610\pi\) | |||||||
\(348\) | −0.0527837 | + | 3.19152i | −0.00282950 | + | 0.171084i | ||||
\(349\) | 33.2745 | − | 13.7827i | 1.78114 | − | 0.737773i | 0.788740 | − | 0.614727i | \(-0.210734\pi\) |
0.992401 | − | 0.123045i | \(-0.0392661\pi\) | |||||||
\(350\) | −8.43504 | − | 16.8375i | −0.450872 | − | 0.900000i | ||||
\(351\) | − | 3.04722i | − | 0.162648i | ||||||
\(352\) | 0.867341 | − | 20.9672i | 0.0462294 | − | 1.11755i | ||||
\(353\) | 17.2070 | − | 9.93447i | 0.915837 | − | 0.528759i | 0.0335324 | − | 0.999438i | \(-0.489324\pi\) |
0.882305 | + | 0.470679i | \(0.155991\pi\) | |||||||
\(354\) | −1.19907 | − | 2.96390i | −0.0637301 | − | 0.157530i | ||||
\(355\) | −38.1394 | − | 5.02114i | −2.02423 | − | 0.266494i | ||||
\(356\) | 4.37173 | − | 2.42853i | 0.231701 | − | 0.128712i | ||||
\(357\) | 0.379643 | − | 1.17422i | 0.0200928 | − | 0.0621462i | ||||
\(358\) | 16.6464 | − | 4.31319i | 0.879790 | − | 0.227959i | ||||
\(359\) | −4.09937 | − | 15.2991i | −0.216356 | − | 0.807453i | −0.985685 | − | 0.168600i | \(-0.946076\pi\) |
0.769328 | − | 0.638854i | \(-0.220591\pi\) | |||||||
\(360\) | −4.28571 | − | 7.86750i | −0.225877 | − | 0.414654i | ||||
\(361\) | 0.172575 | + | 0.0462412i | 0.00908287 | + | 0.00243375i | ||||
\(362\) | 3.42191 | + | 6.04175i | 0.179852 | + | 0.317547i | ||||
\(363\) | 1.05686 | − | 2.55150i | 0.0554710 | − | 0.133919i | ||||
\(364\) | −7.10275 | − | 14.4757i | −0.372285 | − | 0.758732i | ||||
\(365\) | 10.0091 | − | 4.14592i | 0.523902 | − | 0.217007i | ||||
\(366\) | 0.133909 | + | 1.08649i | 0.00699955 | + | 0.0567917i | ||||
\(367\) | −1.15691 | + | 0.667943i | −0.0603902 | + | 0.0348663i | −0.529891 | − | 0.848066i | \(-0.677767\pi\) |
0.469501 | + | 0.882932i | \(0.344434\pi\) | |||||||
\(368\) | −21.8594 | + | 20.4592i | −1.13950 | + | 1.06651i | ||||
\(369\) | 5.86704 | − | 10.1620i | 0.305426 | − | 0.529013i | ||||
\(370\) | −10.5819 | − | 14.0293i | −0.550128 | − | 0.729350i | ||||
\(371\) | −1.01891 | + | 19.9975i | −0.0528991 | + | 1.03822i | ||||
\(372\) | 0.188535 | + | 1.64138i | 0.00977508 | + | 0.0851015i | ||||
\(373\) | −13.7943 | − | 17.9770i | −0.714240 | − | 0.930816i | 0.285379 | − | 0.958415i | \(-0.407881\pi\) |
−0.999619 | + | 0.0275989i | \(0.991214\pi\) | |||||||
\(374\) | 2.44695 | + | 0.0202334i | 0.126529 | + | 0.00104624i | ||||
\(375\) | 0.0271406 | − | 0.101290i | 0.00140153 | − | 0.00523059i | ||||
\(376\) | 22.8759 | − | 16.6684i | 1.17973 | − | 0.859605i | ||||
\(377\) | −3.43887 | + | 3.43887i | −0.177111 | + | 0.177111i | ||||
\(378\) | −3.53547 | + | 1.22492i | −0.181845 | + | 0.0630031i | ||||
\(379\) | 3.44760 | − | 8.32324i | 0.177091 | − | 0.427536i | −0.810263 | − | 0.586067i | \(-0.800676\pi\) |
0.987354 | + | 0.158531i | \(0.0506757\pi\) | |||||||
\(380\) | 19.1098 | + | 19.7525i | 0.980311 | + | 1.01328i | ||||
\(381\) | 4.26817 | + | 3.27508i | 0.218665 | + | 0.167788i | ||||
\(382\) | 9.49947 | + | 23.4810i | 0.486035 | + | 1.20139i | ||||
\(383\) | 5.87653 | − | 10.1784i | 0.300277 | − | 0.520094i | −0.675922 | − | 0.736973i | \(-0.736254\pi\) |
0.976198 | + | 0.216879i | \(0.0695877\pi\) | |||||||
\(384\) | −9.45431 | − | 6.21417i | −0.482463 | − | 0.317116i | ||||
\(385\) | −17.6460 | − | 25.5954i | −0.899325 | − | 1.30446i | ||||
\(386\) | 4.63432 | − | 33.0848i | 0.235880 | − | 1.68397i | ||||
\(387\) | −1.47246 | + | 11.1845i | −0.0748496 | + | 0.568539i | ||||
\(388\) | −8.92693 | + | 2.23442i | −0.453196 | + | 0.113436i | ||||
\(389\) | −2.01293 | − | 15.2897i | −0.102060 | − | 0.775220i | −0.963566 | − | 0.267472i | \(-0.913812\pi\) |
0.861506 | − | 0.507747i | \(-0.169522\pi\) | |||||||
\(390\) | 3.64181 | − | 13.1553i | 0.184410 | − | 0.666146i | ||||
\(391\) | −2.46870 | − | 2.46870i | −0.124847 | − | 0.124847i | ||||
\(392\) | −13.9400 | + | 14.0598i | −0.704075 | + | 0.710125i | ||||
\(393\) | 12.3782 | − | 12.3782i | 0.624399 | − | 0.624399i | ||||
\(394\) | 11.4718 | + | 20.2546i | 0.577940 | + | 1.02041i | ||||
\(395\) | 15.6488 | − | 2.06020i | 0.787376 | − | 0.103660i | ||||
\(396\) | −4.41867 | − | 5.96006i | −0.222046 | − | 0.299504i | ||||
\(397\) | 3.38342 | + | 0.445436i | 0.169809 | + | 0.0223558i | 0.214951 | − | 0.976625i | \(-0.431041\pi\) |
−0.0451421 | + | 0.998981i | \(0.514374\pi\) | |||||||
\(398\) | −30.3487 | + | 22.8912i | −1.52124 | + | 1.14743i | ||||
\(399\) | 9.45005 | − | 6.51506i | 0.473094 | − | 0.326161i | ||||
\(400\) | −4.56474 | − | 19.6081i | −0.228237 | − | 0.980405i | ||||
\(401\) | 31.4665 | + | 18.1672i | 1.57136 | + | 0.907227i | 0.996002 | + | 0.0893276i | \(0.0284718\pi\) |
0.575361 | + | 0.817899i | \(0.304862\pi\) | |||||||
\(402\) | 6.49354 | + | 2.75283i | 0.323868 | + | 0.137299i | ||||
\(403\) | −1.53241 | + | 1.99708i | −0.0763349 | + | 0.0994815i | ||||
\(404\) | −0.540816 | − | 1.36926i | −0.0269066 | − | 0.0681233i | ||||
\(405\) | −2.92640 | − | 1.21215i | −0.145414 | − | 0.0602324i | ||||
\(406\) | 5.37223 | + | 2.60752i | 0.266620 | + | 0.129409i | ||||
\(407\) | −10.2903 | − | 10.2903i | −0.510070 | − | 0.510070i | ||||
\(408\) | 0.687771 | − | 1.12581i | 0.0340497 | − | 0.0557359i | ||||
\(409\) | −25.2604 | − | 6.76849i | −1.24904 | − | 0.334680i | −0.427077 | − | 0.904215i | \(-0.640457\pi\) |
−0.821967 | + | 0.569535i | \(0.807123\pi\) | |||||||
\(410\) | 37.4738 | − | 36.8592i | 1.85070 | − | 1.82034i | ||||
\(411\) | −0.519148 | + | 0.398356i | −0.0256077 | + | 0.0196495i | ||||
\(412\) | 9.00331 | + | 16.2074i | 0.443561 | + | 0.798479i | ||||
\(413\) | −5.97378 | − | 0.304375i | −0.293951 | − | 0.0149773i | ||||
\(414\) | −1.46841 | + | 10.4831i | −0.0721683 | + | 0.515216i | ||||
\(415\) | 42.5357 | + | 24.5580i | 2.08800 | + | 1.20550i | ||||
\(416\) | −3.76944 | − | 16.8205i | −0.184812 | − | 0.824691i | ||||
\(417\) | −8.34159 | − | 14.4481i | −0.408489 | − | 0.707524i | ||||
\(418\) | 17.9417 | + | 14.0044i | 0.877558 | + | 0.684977i | ||||
\(419\) | 0.755181 | + | 1.82317i | 0.0368930 | + | 0.0890676i | 0.941252 | − | 0.337705i | \(-0.109651\pi\) |
−0.904359 | + | 0.426772i | \(0.859651\pi\) | |||||||
\(420\) | −16.7271 | + | 1.06284i | −0.816201 | + | 0.0518614i | ||||
\(421\) | −14.4168 | − | 5.97164i | −0.702632 | − | 0.291040i | 0.00261985 | − | 0.999997i | \(-0.499166\pi\) |
−0.705252 | + | 0.708957i | \(0.749166\pi\) | |||||||
\(422\) | 3.43553 | − | 12.4102i | 0.167239 | − | 0.604119i | ||||
\(423\) | 2.59003 | − | 9.66613i | 0.125932 | − | 0.469984i | ||||
\(424\) | −6.05140 | + | 20.5328i | −0.293882 | + | 0.997159i | ||||
\(425\) | 2.26761 | − | 0.607605i | 0.109995 | − | 0.0294732i | ||||
\(426\) | −8.71030 | + | 14.8027i | −0.422015 | + | 0.717191i | ||||
\(427\) | 1.94869 | + | 0.630043i | 0.0943040 | + | 0.0304899i | ||||
\(428\) | 26.2752 | + | 20.8610i | 1.27006 | + | 1.00835i | ||||
\(429\) | 1.47549 | − | 11.2075i | 0.0712375 | − | 0.541102i | ||||
\(430\) | −19.7237 | + | 46.5254i | −0.951163 | + | 2.24366i | ||||
\(431\) | 15.5843 | + | 26.9928i | 0.750670 | + | 1.30020i | 0.947499 | + | 0.319760i | \(0.103602\pi\) |
−0.196829 | + | 0.980438i | \(0.563064\pi\) | |||||||
\(432\) | −3.98088 | + | 0.390677i | −0.191530 | + | 0.0187965i | ||||
\(433\) | −3.42120 | −0.164413 | −0.0822063 | − | 0.996615i | \(-0.526197\pi\) | ||||
−0.0822063 | + | 0.996615i | \(0.526197\pi\) | |||||||
\(434\) | 2.93307 | + | 0.975166i | 0.140792 | + | 0.0468095i | ||||
\(435\) | 1.93457 | + | 4.67047i | 0.0927556 | + | 0.223932i | ||||
\(436\) | 6.06353 | − | 13.9802i | 0.290390 | − | 0.669529i | ||||
\(437\) | −4.23855 | − | 32.1950i | −0.202757 | − | 1.54009i | ||||
\(438\) | 0.0399950 | − | 4.83686i | 0.00191104 | − | 0.231114i | ||||
\(439\) | 4.00381 | + | 14.9424i | 0.191091 | + | 0.713162i | 0.993244 | + | 0.116043i | \(0.0370212\pi\) |
−0.802153 | + | 0.597119i | \(0.796312\pi\) | |||||||
\(440\) | −11.9531 | − | 31.0114i | −0.569841 | − | 1.47841i | ||||
\(441\) | −0.711479 | + | 6.96375i | −0.0338799 | + | 0.331607i | ||||
\(442\) | 1.94580 | − | 0.504168i | 0.0925521 | − | 0.0239808i | ||||
\(443\) | −25.1790 | − | 32.8140i | −1.19629 | − | 1.55904i | −0.745656 | − | 0.666331i | \(-0.767864\pi\) |
−0.450636 | − | 0.892708i | \(-0.648803\pi\) | |||||||
\(444\) | −7.61097 | + | 1.90504i | −0.361201 | + | 0.0904090i | ||||
\(445\) | 4.82158 | − | 6.28360i | 0.228565 | − | 0.297871i | ||||
\(446\) | 30.1325 | + | 23.5199i | 1.42681 | + | 1.11370i | ||||
\(447\) | −1.60672 | −0.0759951 | ||||||||
\(448\) | −18.0004 | + | 11.1349i | −0.850438 | + | 0.526075i | ||||
\(449\) | −5.00521 | −0.236211 | −0.118105 | − | 0.993001i | \(-0.537682\pi\) | ||||
−0.118105 | + | 0.993001i | \(0.537682\pi\) | |||||||
\(450\) | −5.61098 | − | 4.37964i | −0.264504 | − | 0.206458i | ||||
\(451\) | 26.4992 | − | 34.5344i | 1.24780 | − | 1.62616i | ||||
\(452\) | −32.2235 | + | 8.06557i | −1.51566 | + | 0.379373i | ||||
\(453\) | −0.732248 | − | 0.954284i | −0.0344040 | − | 0.0448362i | ||||
\(454\) | 1.08390 | − | 0.280844i | 0.0508697 | − | 0.0131807i | ||||
\(455\) | −19.4426 | − | 16.5567i | −0.911481 | − | 0.776192i | ||||
\(456\) | 11.4497 | − | 4.41317i | 0.536179 | − | 0.206666i | ||||
\(457\) | 8.32557 | + | 31.0715i | 0.389454 | + | 1.45346i | 0.831025 | + | 0.556235i | \(0.187755\pi\) |
−0.441571 | + | 0.897226i | \(0.645579\pi\) | |||||||
\(458\) | −0.00713247 | + | 0.862577i | −0.000333279 | + | 0.0403056i | ||||
\(459\) | −0.0608817 | − | 0.462443i | −0.00284172 | − | 0.0215850i | ||||
\(460\) | −18.8680 | + | 43.5023i | −0.879724 | + | 2.02831i | ||||
\(461\) | −3.57812 | − | 8.63835i | −0.166650 | − | 0.402328i | 0.818388 | − | 0.574666i | \(-0.194868\pi\) |
−0.985038 | + | 0.172338i | \(0.944868\pi\) | |||||||
\(462\) | −13.5964 | + | 2.79327i | −0.632561 | + | 0.129955i | ||||
\(463\) | −10.0089 | −0.465155 | −0.232578 | − | 0.972578i | \(-0.574716\pi\) | ||||
−0.232578 | + | 0.972578i | \(0.574716\pi\) | |||||||
\(464\) | 4.93342 | + | 4.05164i | 0.229028 | + | 0.188093i | ||||
\(465\) | 1.30832 | + | 2.26607i | 0.0606717 | + | 0.105087i | ||||
\(466\) | 8.85322 | − | 20.8835i | 0.410117 | − | 0.967408i | ||||
\(467\) | −4.40675 | + | 33.4726i | −0.203920 | + | 1.54893i | 0.517047 | + | 0.855957i | \(0.327031\pi\) |
−0.720967 | + | 0.692969i | \(0.756302\pi\) | |||||||
\(468\) | −4.77303 | − | 3.78950i | −0.220633 | − | 0.175170i | ||||
\(469\) | 9.79287 | − | 8.84332i | 0.452192 | − | 0.408346i | ||||
\(470\) | 22.7338 | − | 38.6349i | 1.04863 | − | 1.78209i | ||||
\(471\) | −8.87523 | + | 2.37811i | −0.408949 | + | 0.109578i | ||||
\(472\) | −6.13369 | − | 1.80772i | −0.282326 | − | 0.0832069i | ||||
\(473\) | −10.8313 | + | 40.4229i | −0.498023 | + | 1.85865i | ||||
\(474\) | 1.88014 | − | 6.79165i | 0.0863577 | − | 0.311951i | ||||
\(475\) | 20.1733 | + | 8.35605i | 0.925614 | + | 0.383402i | ||||
\(476\) | −1.36712 | − | 2.05491i | −0.0626620 | − | 0.0941865i | ||||
\(477\) | 2.89620 | + | 6.99205i | 0.132608 | + | 0.320144i | ||||
\(478\) | 31.0700 | + | 24.2517i | 1.42111 | + | 1.10925i | ||||
\(479\) | 9.11622 | + | 15.7897i | 0.416531 | + | 0.721452i | 0.995588 | − | 0.0938348i | \(-0.0299126\pi\) |
−0.579057 | + | 0.815287i | \(0.696579\pi\) | |||||||
\(480\) | −17.6530 | − | 3.07103i | −0.805745 | − | 0.140173i | ||||
\(481\) | −10.3524 | − | 5.97693i | −0.472027 | − | 0.272525i | ||||
\(482\) | −1.20640 | + | 8.61259i | −0.0549499 | + | 0.392293i | ||||
\(483\) | 16.6243 | + | 10.7617i | 0.756432 | + | 0.489672i | ||||
\(484\) | −2.68224 | − | 4.82846i | −0.121920 | − | 0.219475i | ||||
\(485\) | −11.5625 | + | 8.87222i | −0.525026 | + | 0.402867i | ||||
\(486\) | −1.00823 | + | 0.991697i | −0.0457344 | + | 0.0449843i | ||||
\(487\) | −1.72314 | − | 0.461715i | −0.0780831 | − | 0.0209223i | 0.219566 | − | 0.975598i | \(-0.429536\pi\) |
−0.297649 | + | 0.954675i | \(0.596203\pi\) | |||||||
\(488\) | 1.86836 | + | 1.14140i | 0.0845766 | + | 0.0516689i | ||||
\(489\) | −9.50831 | − | 9.50831i | −0.429981 | − | 0.429981i | ||||
\(490\) | −11.3941 | + | 29.2133i | −0.514734 | + | 1.31972i | ||||
\(491\) | −10.4516 | − | 4.32920i | −0.471675 | − | 0.195374i | 0.134168 | − | 0.990959i | \(-0.457164\pi\) |
−0.605843 | + | 0.795585i | \(0.707164\pi\) | |||||||
\(492\) | −8.62110 | − | 21.8273i | −0.388669 | − | 0.984050i | ||||
\(493\) | −0.453172 | + | 0.590586i | −0.0204099 | + | 0.0265987i | ||||
\(494\) | 17.2129 | + | 7.29714i | 0.774445 | + | 0.328314i | ||||
\(495\) | −10.1762 | − | 5.87522i | −0.457385 | − | 0.264071i | ||||
\(496\) | 2.80545 | + | 1.74590i | 0.125968 | + | 0.0783931i | ||||
\(497\) | 18.2381 | + | 26.4543i | 0.818092 | + | 1.18664i | ||||
\(498\) | 17.5073 | − | 13.2053i | 0.784520 | − | 0.591742i | ||||
\(499\) | 15.2937 | + | 2.01345i | 0.684639 | + | 0.0901344i | 0.464819 | − | 0.885406i | \(-0.346120\pi\) |
0.219820 | + | 0.975540i | \(0.429453\pi\) | |||||||
\(500\) | −0.124904 | − | 0.168476i | −0.00558589 | − | 0.00753446i | ||||
\(501\) | 14.3766 | − | 1.89272i | 0.642300 | − | 0.0845604i | ||||
\(502\) | 8.56167 | + | 15.1165i | 0.382126 | + | 0.674685i | ||||
\(503\) | −18.9185 | + | 18.9185i | −0.843535 | + | 0.843535i | −0.989317 | − | 0.145782i | \(-0.953430\pi\) |
0.145782 | + | 0.989317i | \(0.453430\pi\) | |||||||
\(504\) | −2.47804 | + | 7.06111i | −0.110380 | + | 0.314527i | ||||
\(505\) | −1.64869 | − | 1.64869i | −0.0733656 | − | 0.0733656i | ||||
\(506\) | −10.4767 | + | 37.8452i | −0.465748 | + | 1.68243i | ||||
\(507\) | 0.484836 | + | 3.68270i | 0.0215323 | + | 0.163554i | ||||
\(508\) | 10.4378 | − | 2.61260i | 0.463104 | − | 0.115915i | ||||
\(509\) | −0.592397 | + | 4.49970i | −0.0262575 | + | 0.199446i | −0.999546 | − | 0.0301414i | \(-0.990404\pi\) |
0.973288 | + | 0.229587i | \(0.0737376\pi\) | |||||||
\(510\) | 0.289841 | − | 2.06920i | 0.0128344 | − | 0.0916257i | ||||
\(511\) | −8.17337 | − | 3.88394i | −0.361569 | − | 0.171815i | ||||
\(512\) | −21.4909 | + | 7.08091i | −0.949775 | + | 0.312935i | ||||
\(513\) | 2.16918 | − | 3.75713i | 0.0957716 | − | 0.165881i | ||||
\(514\) | −7.48270 | − | 18.4959i | −0.330048 | − | 0.815821i | ||||
\(515\) | 23.2953 | + | 17.8751i | 1.02651 | + | 0.787671i | ||||
\(516\) | 15.6877 | + | 16.2154i | 0.690614 | + | 0.713842i | ||||
\(517\) | 14.2064 | − | 34.2974i | 0.624798 | − | 1.50840i | ||||
\(518\) | −2.77318 | + | 14.4137i | −0.121847 | + | 0.633303i | ||||
\(519\) | −12.4091 | + | 12.4091i | −0.544698 | + | 0.544698i | ||||
\(520\) | −16.0770 | − | 22.0643i | −0.705023 | − | 0.967582i | ||||
\(521\) | −8.02383 | + | 29.9453i | −0.351530 | + | 1.31193i | 0.533264 | + | 0.845949i | \(0.320965\pi\) |
−0.884795 | + | 0.465981i | \(0.845702\pi\) | |||||||
\(522\) | 2.25698 | + | 0.0186625i | 0.0987852 | + | 0.000816835i | ||||
\(523\) | 22.8670 | + | 29.8008i | 0.999903 | + | 1.30310i | 0.952602 | + | 0.304219i | \(0.0983954\pi\) |
0.0473014 | + | 0.998881i | \(0.484938\pi\) | |||||||
\(524\) | −3.99521 | − | 34.7822i | −0.174532 | − | 1.51947i | ||||
\(525\) | −11.8562 | + | 6.06272i | −0.517445 | + | 0.264599i | ||||
\(526\) | −4.74236 | − | 6.28734i | −0.206777 | − | 0.274141i | ||||
\(527\) | −0.192657 | + | 0.333691i | −0.00839226 | + | 0.0145358i | ||||
\(528\) | −14.8306 | − | 0.490693i | −0.645419 | − | 0.0213547i | ||||
\(529\) | 28.6012 | − | 16.5129i | 1.24353 | − | 0.717952i | ||||
\(530\) | 4.14699 | + | 33.6471i | 0.180134 | + | 1.46154i | ||||
\(531\) | −2.08871 | + | 0.865173i | −0.0906424 | + | 0.0375453i | ||||
\(532\) | 1.54712 | − | 22.9042i | 0.0670763 | − | 0.993024i | ||||
\(533\) | 13.6833 | − | 33.0345i | 0.592691 | − | 1.43088i | ||||
\(534\) | −1.74273 | − | 3.07697i | −0.0754152 | − | 0.133154i | ||||
\(535\) | 51.3236 | + | 13.7521i | 2.21891 | + | 0.594556i | ||||
\(536\) | 12.3872 | − | 6.74778i | 0.535048 | − | 0.291460i | ||||
\(537\) | −3.14711 | − | 11.7452i | −0.135808 | − | 0.506841i | ||||
\(538\) | 29.3598 | − | 7.60732i | 1.26579 | − | 0.327975i | ||||
\(539\) | −5.98870 | + | 25.2678i | −0.257951 | + | 1.08836i | ||||
\(540\) | −5.53791 | + | 3.07635i | −0.238314 | + | 0.132385i | ||||
\(541\) | −0.271734 | − | 0.0357744i | −0.0116827 | − | 0.00153806i | 0.124683 | − | 0.992197i | \(-0.460209\pi\) |
−0.136365 | + | 0.990659i | \(0.543542\pi\) | |||||||
\(542\) | −4.36438 | − | 10.7880i | −0.187466 | − | 0.463384i | ||||
\(543\) | 4.25201 | − | 2.45490i | 0.182471 | − | 0.105350i | ||||
\(544\) | −0.908111 | − | 2.47735i | −0.0389349 | − | 0.106215i | ||||
\(545\) | − | 24.1340i | − | 1.03379i | ||||||
\(546\) | −10.1940 | + | 5.10687i | −0.436262 | + | 0.218554i | ||||
\(547\) | 11.9152 | − | 4.93545i | 0.509458 | − | 0.211025i | −0.113121 | − | 0.993581i | \(-0.536085\pi\) |
0.622579 | + | 0.782557i | \(0.286085\pi\) | |||||||
\(548\) | −0.0216420 | + | 1.30856i | −0.000924500 | + | 0.0558991i | ||||
\(549\) | 0.767455 | − | 0.101037i | 0.0327542 | − | 0.00431217i | ||||
\(550\) | −18.5162 | − | 18.8250i | −0.789533 | − | 0.802699i | ||||
\(551\) | −6.68800 | + | 1.79204i | −0.284918 | + | 0.0763436i | ||||
\(552\) | 14.5942 | + | 15.3368i | 0.621169 | + | 0.652777i | ||||
\(553\) | −10.0375 | − | 8.54768i | −0.426839 | − | 0.363484i | ||||
\(554\) | 7.60214 | + | 4.47331i | 0.322984 | + | 0.190053i | ||||
\(555\) | −9.85802 | + | 7.56432i | −0.418450 | + | 0.321088i | ||||
\(556\) | −33.0044 | − | 4.90163i | −1.39970 | − | 0.207875i | ||||
\(557\) | 27.1364 | + | 20.8225i | 1.14981 | + | 0.882278i | 0.994411 | − | 0.105574i | \(-0.0336679\pi\) |
0.155396 | + | 0.987852i | \(0.450335\pi\) | |||||||
\(558\) | 1.15949 | − | 0.142906i | 0.0490851 | − | 0.00604971i | ||||
\(559\) | 34.3756i | 1.45393i | ||||||||
\(560\) | −19.1370 | + | 27.5224i | −0.808686 | + | 1.16303i | ||||
\(561\) | − | 1.73032i | − | 0.0730540i | ||||||
\(562\) | −4.47577 | − | 36.3147i | −0.188799 | − | 1.53184i | ||||
\(563\) | −11.5927 | − | 8.89540i | −0.488574 | − | 0.374896i | 0.334896 | − | 0.942255i | \(-0.391299\pi\) |
−0.823471 | + | 0.567359i | \(0.807965\pi\) | |||||||
\(564\) | −11.9197 | − | 16.0777i | −0.501908 | − | 0.676992i | ||||
\(565\) | −41.7371 | + | 32.0260i | −1.75589 | + | 1.34734i | ||||
\(566\) | 11.6019 | − | 19.7168i | 0.487664 | − | 0.828757i | ||||
\(567\) | 0.886790 | + | 2.49271i | 0.0372417 | + | 0.104684i | ||||
\(568\) | 12.3541 | + | 32.0519i | 0.518368 | + | 1.34487i | ||||
\(569\) | −28.2934 | + | 7.58118i | −1.18612 | + | 0.317820i | −0.797351 | − | 0.603516i | \(-0.793766\pi\) |
−0.388768 | + | 0.921336i | \(0.627099\pi\) | |||||||
\(570\) | 13.8549 | − | 13.6277i | 0.580319 | − | 0.570801i | ||||
\(571\) | −41.5886 | + | 5.47524i | −1.74043 | + | 0.229132i | −0.932758 | − | 0.360502i | \(-0.882605\pi\) |
−0.807671 | + | 0.589634i | \(0.799272\pi\) | |||||||
\(572\) | −15.7200 | − | 16.2487i | −0.657286 | − | 0.679393i | ||||
\(573\) | 16.5475 | − | 6.85419i | 0.691281 | − | 0.286338i | ||||
\(574\) | −43.8280 | − | 2.59662i | −1.82935 | − | 0.108381i | ||||
\(575\) | 37.6730i | 1.57107i | ||||||||
\(576\) | −4.33866 | + | 6.72131i | −0.180777 | + | 0.280055i | ||||
\(577\) | −24.6708 | + | 14.2437i | −1.02706 | + | 0.592973i | −0.916141 | − | 0.400856i | \(-0.868713\pi\) |
−0.110919 | + | 0.993829i | \(0.535379\pi\) | |||||||
\(578\) | −22.0017 | + | 8.90097i | −0.915149 | + | 0.370232i | ||||
\(579\) | −23.4208 | − | 3.08341i | −0.973335 | − | 0.128142i | ||||
\(580\) | 9.72144 | + | 2.77794i | 0.403661 | + | 0.115348i | ||||
\(581\) | −8.58795 | − | 40.1166i | −0.356288 | − | 1.66432i | ||||
\(582\) | 1.63211 | + | 6.29901i | 0.0676533 | + | 0.261102i | ||||
\(583\) | 7.26644 | + | 27.1187i | 0.300945 | + | 1.12314i | ||||
\(584\) | −7.52651 | − | 6.07775i | −0.311449 | − | 0.251499i | ||||
\(585\) | −9.32319 | − | 2.49814i | −0.385467 | − | 0.103285i | ||||
\(586\) | −4.11839 | + | 2.33256i | −0.170129 | + | 0.0963573i | ||||
\(587\) | −13.5181 | + | 32.6357i | −0.557953 | + | 1.34702i | 0.353430 | + | 0.935461i | \(0.385015\pi\) |
−0.911384 | + | 0.411558i | \(0.864985\pi\) | |||||||
\(588\) | 10.0229 | + | 9.77451i | 0.413338 | + | 0.403094i | ||||
\(589\) | −3.31105 | + | 1.37148i | −0.136429 | + | 0.0565109i | ||||
\(590\) | −10.0513 | + | 1.23882i | −0.413806 | + | 0.0510014i | ||||
\(591\) | 14.2546 | − | 8.22991i | 0.586357 | − | 0.338533i | ||||
\(592\) | −6.48100 | + | 14.2906i | −0.266367 | + | 0.587339i | ||||
\(593\) | 18.1975 | − | 31.5190i | 0.747281 | − | 1.29433i | −0.201840 | − | 0.979419i | \(-0.564692\pi\) |
0.949121 | − | 0.314911i | \(-0.101975\pi\) | |||||||
\(594\) | −4.18842 | + | 3.15921i | −0.171853 | + | 0.129624i | ||||
\(595\) | −3.28138 | − | 2.12418i | −0.134523 | − | 0.0870830i | ||||
\(596\) | −1.99810 | + | 2.51669i | −0.0818455 | + | 0.103088i | ||||
\(597\) | 16.3634 | + | 21.3252i | 0.669710 | + | 0.872783i | ||||
\(598\) | −0.266710 | + | 32.2550i | −0.0109066 | + | 1.31901i | ||||
\(599\) | −2.57485 | + | 9.60947i | −0.105206 | + | 0.392632i | −0.998368 | − | 0.0571010i | \(-0.981814\pi\) |
0.893163 | + | 0.449733i | \(0.148481\pi\) | |||||||
\(600\) | −13.8379 | + | 3.34229i | −0.564928 | + | 0.136449i | ||||
\(601\) | 27.1957 | − | 27.1957i | 1.10934 | − | 1.10934i | 0.116098 | − | 0.993238i | \(-0.462961\pi\) |
0.993238 | − | 0.116098i | \(-0.0370386\pi\) | |||||||
\(602\) | 39.8836 | − | 13.8183i | 1.62554 | − | 0.563192i | ||||
\(603\) | 1.90852 | − | 4.60756i | 0.0777207 | − | 0.187634i | ||||
\(604\) | −2.40537 | − | 0.0397817i | −0.0978730 | − | 0.00161869i | ||||
\(605\) | −6.94007 | − | 5.32531i | −0.282154 | − | 0.216504i | ||||
\(606\) | −0.965019 | + | 0.390407i | −0.0392012 | + | 0.0158592i | ||||
\(607\) | −4.52040 | + | 7.82957i | −0.183477 | + | 0.317792i | −0.943062 | − | 0.332616i | \(-0.892069\pi\) |
0.759585 | + | 0.650408i | \(0.225402\pi\) | |||||||
\(608\) | 7.32613 | − | 23.4224i | 0.297114 | − | 0.949905i | ||||
\(609\) | 1.81232 | − | 3.81386i | 0.0734391 | − | 0.154545i | ||||
\(610\) | 3.43398 | + | 0.481010i | 0.139038 | + | 0.0194755i | ||||
\(611\) | 3.98025 | − | 30.2330i | 0.161024 | − | 1.22310i | ||||
\(612\) | −0.800062 | − | 0.479729i | −0.0323406 | − | 0.0193919i | ||||
\(613\) | 1.18201 | + | 8.97827i | 0.0477410 | + | 0.362629i | 0.998595 | + | 0.0529895i | \(0.0168750\pi\) |
−0.950854 | + | 0.309639i | \(0.899792\pi\) | |||||||
\(614\) | −22.6160 | − | 6.26081i | −0.912706 | − | 0.252666i | ||||
\(615\) | −26.2816 | − | 26.2816i | −1.05978 | − | 1.05978i | ||||
\(616\) | −12.5331 | + | 24.7705i | −0.504975 | + | 0.998031i | ||||
\(617\) | −9.02914 | + | 9.02914i | −0.363500 | + | 0.363500i | −0.865100 | − | 0.501600i | \(-0.832745\pi\) |
0.501600 | + | 0.865100i | \(0.332745\pi\) | |||||||
\(618\) | 11.4073 | − | 6.46084i | 0.458869 | − | 0.259893i | ||||
\(619\) | 12.6268 | − | 1.66235i | 0.507514 | − | 0.0668155i | 0.127579 | − | 0.991828i | \(-0.459279\pi\) |
0.379936 | + | 0.925013i | \(0.375946\pi\) | |||||||
\(620\) | 5.17649 | + | 0.768784i | 0.207893 | + | 0.0308751i | ||||
\(621\) | 7.42100 | + | 0.976993i | 0.297795 | + | 0.0392054i | ||||
\(622\) | −6.42822 | − | 8.52241i | −0.257748 | − | 0.341718i | ||||
\(623\) | −6.59451 | + | 0.528635i | −0.264203 | + | 0.0211793i | ||||
\(624\) | −11.8714 | + | 2.76365i | −0.475237 | + | 0.110635i | ||||
\(625\) | 21.5063 | + | 12.4167i | 0.860253 | + | 0.496667i | ||||
\(626\) | −7.11247 | + | 16.7773i | −0.284271 | + | 0.670555i | ||||
\(627\) | 9.79735 | − | 12.7682i | 0.391269 | − | 0.509911i | ||||
\(628\) | −7.31222 | + | 16.8592i | −0.291790 | + | 0.672755i | ||||
\(629\) | −1.69048 | − | 0.700219i | −0.0674038 | − | 0.0279196i | ||||
\(630\) | 0.849316 | + | 11.8213i | 0.0338376 | + | 0.470970i | ||||
\(631\) | 6.64665 | + | 6.64665i | 0.264599 | + | 0.264599i | 0.826919 | − | 0.562321i | \(-0.190091\pi\) |
−0.562321 | + | 0.826919i | \(0.690091\pi\) | |||||||
\(632\) | −8.30000 | − | 11.3910i | −0.330156 | − | 0.453111i | ||||
\(633\) | −8.79513 | − | 2.35665i | −0.349575 | − | 0.0936683i | ||||
\(634\) | 15.0354 | + | 15.2862i | 0.597134 | + | 0.607091i | ||||
\(635\) | 13.5195 | − | 10.3739i | 0.536504 | − | 0.411674i | ||||
\(636\) | 14.5537 | + | 4.15879i | 0.577093 | + | 0.164907i | ||||
\(637\) | 0.620290 | + | 21.3215i | 0.0245768 | + | 0.844788i | ||||
\(638\) | 8.29200 | + | 1.16149i | 0.328283 | + | 0.0459839i | ||||
\(639\) | 10.5176 | + | 6.07235i | 0.416071 | + | 0.240219i | ||||
\(640\) | −26.7635 | + | 23.8318i | −1.05792 | + | 0.942033i | ||||
\(641\) | 6.67028 | + | 11.5533i | 0.263460 | + | 0.456326i | 0.967159 | − | 0.254172i | \(-0.0818029\pi\) |
−0.703699 | + | 0.710498i | \(0.748470\pi\) | |||||||
\(642\) | 14.5968 | − | 18.7007i | 0.576090 | − | 0.738058i | ||||
\(643\) | 15.4271 | + | 37.2444i | 0.608387 | + | 1.46878i | 0.864754 | + | 0.502196i | \(0.167475\pi\) |
−0.256367 | + | 0.966580i | \(0.582525\pi\) | |||||||
\(644\) | 37.5305 | − | 12.6564i | 1.47891 | − | 0.498733i | ||||
\(645\) | 33.0126 | + | 13.6743i | 1.29987 | + | 0.538424i | ||||
\(646\) | 2.75801 | + | 0.763502i | 0.108512 | + | 0.0300396i | ||||
\(647\) | 3.89071 | − | 14.5203i | 0.152959 | − | 0.570853i | −0.846312 | − | 0.532688i | \(-0.821182\pi\) |
0.999271 | − | 0.0381650i | \(-0.0121512\pi\) | |||||||
\(648\) | 0.299516 | + | 2.81252i | 0.0117661 | + | 0.110486i | ||||
\(649\) | −8.10109 | + | 2.17068i | −0.317996 | + | 0.0852067i | ||||
\(650\) | −18.6936 | − | 10.9998i | −0.733221 | − | 0.431448i | ||||
\(651\) | 0.672374 | − | 2.07962i | 0.0263524 | − | 0.0815069i | ||||
\(652\) | −26.7179 | + | 3.06892i | −1.04635 | + | 0.120188i | ||||
\(653\) | −1.15252 | + | 8.75425i | −0.0451015 | + | 0.342580i | 0.953985 | + | 0.299853i | \(0.0969378\pi\) |
−0.999087 | + | 0.0427266i | \(0.986396\pi\) | |||||||
\(654\) | −9.92058 | − | 4.20568i | −0.387926 | − | 0.164455i | ||||
\(655\) | −27.7243 | − | 48.0199i | −1.08328 | − | 1.87629i | ||||
\(656\) | −44.9105 | − | 13.6406i | −1.75346 | − | 0.532575i | ||||
\(657\) | −3.42030 | −0.133438 | ||||||||
\(658\) | −36.6772 | + | 7.53505i | −1.42983 | + | 0.293747i | ||||
\(659\) | −3.22414 | − | 7.78377i | −0.125595 | − | 0.303213i | 0.848558 | − | 0.529102i | \(-0.177471\pi\) |
−0.974153 | + | 0.225890i | \(0.927471\pi\) | |||||||
\(660\) | −21.8577 | + | 8.63313i | −0.850811 | + | 0.336044i | ||||
\(661\) | −0.584778 | − | 4.44183i | −0.0227452 | − | 0.172767i | 0.976302 | − | 0.216413i | \(-0.0694359\pi\) |
−0.999047 | + | 0.0436463i | \(0.986103\pi\) | |||||||
\(662\) | 33.3432 | + | 0.275708i | 1.29592 | + | 0.0107157i | ||||
\(663\) | −0.367865 | − | 1.37289i | −0.0142867 | − | 0.0533187i | ||||
\(664\) | 1.08783 | − | 43.8446i | 0.0422158 | − | 1.70150i | ||||
\(665\) | −12.1861 | − | 34.2543i | −0.472556 | − | 1.32832i | ||||
\(666\) | 1.39152 | + | 5.37045i | 0.0539202 | + | 0.208101i | ||||
\(667\) | −7.27224 | − | 9.47737i | −0.281582 | − | 0.366965i | ||||
\(668\) | 14.9140 | − | 24.8727i | 0.577041 | − | 0.962353i | ||||
\(669\) | 16.4543 | − | 21.4437i | 0.636160 | − | 0.829060i | ||||
\(670\) | 13.7460 | − | 17.6107i | 0.531054 | − | 0.680360i | ||||
\(671\) | 2.87158 | 0.110856 | ||||||||
\(672\) | 7.97855 | + | 12.6627i | 0.307779 | + | 0.488472i | ||||
\(673\) | 26.2098 | 1.01031 | 0.505156 | − | 0.863028i | \(-0.331435\pi\) | ||||
0.505156 | + | 0.863028i | \(0.331435\pi\) | |||||||
\(674\) | 6.25038 | − | 8.00768i | 0.240756 | − | 0.308444i | ||||
\(675\) | −3.06396 | + | 3.99303i | −0.117932 | + | 0.153692i | ||||
\(676\) | 6.37135 | + | 3.82036i | 0.245052 | + | 0.146937i | ||||
\(677\) | 11.7733 | + | 15.3432i | 0.452483 | + | 0.589688i | 0.962772 | − | 0.270316i | \(-0.0871280\pi\) |
−0.510288 | + | 0.860003i | \(0.670461\pi\) | |||||||
\(678\) | 5.89143 | + | 22.7375i | 0.226259 | + | 0.873228i | ||||
\(679\) | 11.9729 | + | 2.20107i | 0.459477 | + | 0.0844692i | ||||
\(680\) | −2.88066 | − | 3.02724i | −0.110468 | − | 0.116089i | ||||
\(681\) | −0.204917 | − | 0.764762i | −0.00785245 | − | 0.0293057i | ||||
\(682\) | 4.33373 | + | 0.0358347i | 0.165947 | + | 0.00137218i | ||||
\(683\) | −0.683678 | − | 5.19305i | −0.0261602 | − | 0.198707i | 0.973374 | − | 0.229222i | \(-0.0736183\pi\) |
−0.999534 | + | 0.0305158i | \(0.990285\pi\) | |||||||
\(684\) | −3.18742 | − | 8.07005i | −0.121874 | − | 0.308566i | ||||
\(685\) | 0.793198 | + | 1.91495i | 0.0303066 | + | 0.0731665i | ||||
\(686\) | 24.4885 | − | 9.29049i | 0.934975 | − | 0.354713i | ||||
\(687\) | 0.609955 | 0.0232712 | ||||||||
\(688\) | 44.9082 | − | 4.40723i | 1.71211 | − | 0.168024i | ||||
\(689\) | 11.5309 | + | 19.9721i | 0.439291 | + | 0.760875i | ||||
\(690\) | 30.8700 | + | 13.0869i | 1.17520 | + | 0.498209i | ||||
\(691\) | −0.503824 | + | 3.82692i | −0.0191664 | + | 0.145583i | −0.998352 | − | 0.0573824i | \(-0.981725\pi\) |
0.979186 | + | 0.202965i | \(0.0650579\pi\) | |||||||
\(692\) | 4.00517 | + | 34.8689i | 0.152254 | + | 1.32552i | ||||
\(693\) | 2.05457 | + | 9.59744i | 0.0780466 | + | 0.364576i | ||||
\(694\) | −25.2547 | − | 14.8606i | −0.958655 | − | 0.564099i | ||||
\(695\) | −51.0435 | + | 13.6771i | −1.93619 | + | 0.518800i | ||||
\(696\) | 2.83600 | − | 3.51202i | 0.107498 | − | 0.133123i | ||||
\(697\) | 1.41656 | − | 5.28667i | 0.0536559 | − | 0.200247i | ||||
\(698\) | −49.0881 | − | 13.5891i | −1.85801 | − | 0.514356i | ||||
\(699\) | −14.8181 | − | 6.13785i | −0.560472 | − | 0.232155i | ||||
\(700\) | −5.24789 | + | 26.1105i | −0.198351 | + | 0.986885i | ||||
\(701\) | 14.6502 | + | 35.3687i | 0.553330 | + | 1.33586i | 0.914964 | + | 0.403536i | \(0.132219\pi\) |
−0.361634 | + | 0.932320i | \(0.617781\pi\) | |||||||
\(702\) | −2.65158 | + | 3.39708i | −0.100078 | + | 0.128215i | ||||
\(703\) | −8.50943 | − | 14.7388i | −0.320939 | − | 0.555883i | ||||
\(704\) | −19.2119 | + | 22.6198i | −0.724074 | + | 0.852515i | ||||
\(705\) | −27.4509 | − | 15.8488i | −1.03386 | − | 0.596901i | ||||
\(706\) | −27.8273 | − | 3.89787i | −1.04729 | − | 0.146698i | ||||
\(707\) | −0.0991018 | + | 1.94501i | −0.00372711 | + | 0.0731495i | ||||
\(708\) | −1.24234 | + | 4.34759i | −0.0466901 | + | 0.163393i | ||||
\(709\) | −36.3802 | + | 27.9155i | −1.36629 | + | 1.04839i | −0.373610 | + | 0.927586i | \(0.621880\pi\) |
−0.992677 | + | 0.120803i | \(0.961453\pi\) | |||||||
\(710\) | 38.1491 | + | 38.7852i | 1.43171 | + | 1.45558i | ||||
\(711\) | −4.81325 | − | 1.28971i | −0.180511 | − | 0.0483678i | ||||
\(712\) | −6.98688 | − | 1.09677i | −0.261844 | − | 0.0411033i | ||||
\(713\) | −4.37224 | − | 4.37224i | −0.163742 | − | 0.163742i | ||||
\(714\) | −1.44500 | + | 0.978683i | −0.0540776 | + | 0.0366263i | ||||
\(715\) | −33.0805 | − | 13.7024i | −1.23714 | − | 0.512441i | ||||
\(716\) | −22.3108 | − | 9.67674i | −0.833795 | − | 0.361637i | ||||
\(717\) | 16.9663 | − | 22.1109i | 0.633617 | − | 0.825746i | ||||
\(718\) | −8.74269 | + | 20.6227i | −0.326274 | + | 0.769634i | ||||
\(719\) | −3.40386 | − | 1.96522i | −0.126943 | − | 0.0732904i | 0.435184 | − | 0.900342i | \(-0.356683\pi\) |
−0.562127 | + | 0.827051i | \(0.690017\pi\) | |||||||
\(720\) | −2.06826 | + | 12.5001i | −0.0770795 | + | 0.465850i | ||||
\(721\) | −1.95982 | − | 24.4479i | −0.0729874 | − | 0.910488i | ||||
\(722\) | −0.152151 | − | 0.201719i | −0.00566248 | − | 0.00750720i | ||||
\(723\) | 6.09686 | + | 0.802667i | 0.226745 | + | 0.0298515i | ||||
\(724\) | 1.44253 | − | 9.71306i | 0.0536113 | − | 0.360983i | ||||
\(725\) | 7.96401 | − | 1.04848i | 0.295776 | − | 0.0389396i | ||||
\(726\) | −3.39843 | + | 1.92480i | −0.126128 | + | 0.0714359i | ||||
\(727\) | 24.7945 | − | 24.7945i | 0.919577 | − | 0.919577i | −0.0774211 | − | 0.996998i | \(-0.524669\pi\) |
0.996998 | + | 0.0774211i | \(0.0246686\pi\) | |||||||
\(728\) | −4.67801 | + | 22.3183i | −0.173379 | + | 0.827170i | ||||
\(729\) | 0.707107 | + | 0.707107i | 0.0261891 | + | 0.0261891i | ||||
\(730\) | −14.7660 | − | 4.08768i | −0.546513 | − | 0.151292i | ||||
\(731\) | 0.686806 | + | 5.21681i | 0.0254024 | + | 0.192951i | ||||
\(732\) | 0.796142 | − | 1.32776i | 0.0294263 | − | 0.0490753i | ||||
\(733\) | 3.93003 | − | 29.8515i | 0.145159 | − | 1.10259i | −0.751457 | − | 0.659782i | \(-0.770648\pi\) |
0.896616 | − | 0.442810i | \(-0.146018\pi\) | |||||||
\(734\) | 1.87096 | + | 0.262073i | 0.0690585 | + | 0.00967328i | ||||
\(735\) | 20.7229 | + | 7.88579i | 0.764374 | + | 0.290872i | ||||
\(736\) | 42.1721 | − | 3.78692i | 1.55448 | − | 0.139588i | ||||
\(737\) | 9.25044 | − | 16.0222i | 0.340744 | − | 0.590186i | ||||
\(738\) | −15.3833 | + | 6.22345i | −0.566267 | + | 0.229088i | ||||
\(739\) | −26.9817 | − | 20.7038i | −0.992540 | − | 0.761602i | −0.0213163 | − | 0.999773i | \(-0.506786\pi\) |
−0.971223 | + | 0.238170i | \(0.923452\pi\) | |||||||
\(740\) | −0.410956 | + | 24.8481i | −0.0151070 | + | 0.913435i | ||||
\(741\) | 5.05904 | − | 12.2136i | 0.185848 | − | 0.448678i | ||||
\(742\) | 18.5370 | − | 21.4068i | 0.680515 | − | 0.785870i | ||||
\(743\) | 1.23986 | − | 1.23986i | 0.0454862 | − | 0.0454862i | −0.683998 | − | 0.729484i | \(-0.739760\pi\) |
0.729484 | + | 0.683998i | \(0.239760\pi\) | |||||||
\(744\) | 1.21809 | − | 1.99389i | 0.0446574 | − | 0.0730995i | ||||
\(745\) | −1.31720 | + | 4.91587i | −0.0482586 | + | 0.180104i | ||||
\(746\) | −0.264968 | + | 32.0444i | −0.00970118 | + | 1.17323i | ||||
\(747\) | −9.43957 | − | 12.3019i | −0.345376 | − | 0.450103i | ||||
\(748\) | −2.71029 | − | 2.15181i | −0.0990981 | − | 0.0786781i | ||||
\(749\) | −20.2063 | − | 39.5151i | −0.738322 | − | 1.44385i | ||||
\(750\) | −0.118396 | + | 0.0893027i | −0.00432321 | + | 0.00326088i | ||||
\(751\) | −10.2201 | + | 17.7018i | −0.372938 | + | 0.645948i | −0.990016 | − | 0.140954i | \(-0.954983\pi\) |
0.617078 | + | 0.786902i | \(0.288316\pi\) | |||||||
\(752\) | −40.0066 | − | 1.32368i | −1.45889 | − | 0.0482695i | ||||
\(753\) | 10.6386 | − | 6.14219i | 0.387692 | − | 0.223834i | ||||
\(754\) | 6.82608 | − | 0.841312i | 0.248591 | − | 0.0306388i | ||||
\(755\) | −3.52001 | + | 1.45804i | −0.128106 | + | 0.0530634i | ||||
\(756\) | 5.00728 | + | 1.71089i | 0.182113 | + | 0.0622245i | ||||
\(757\) | 6.54327 | − | 15.7969i | 0.237819 | − | 0.574147i | −0.759237 | − | 0.650814i | \(-0.774428\pi\) |
0.997057 | + | 0.0766671i | \(0.0244279\pi\) | |||||||
\(758\) | −11.0860 | + | 6.27888i | −0.402663 | + | 0.228059i | ||||
\(759\) | 26.8209 | + | 7.18665i | 0.973539 | + | 0.260859i | ||||
\(760\) | −4.11588 | − | 38.6491i | −0.149299 | − | 1.40195i | ||||
\(761\) | −4.44578 | − | 16.5919i | −0.161159 | − | 0.601454i | −0.998499 | − | 0.0547715i | \(-0.982557\pi\) |
0.837340 | − | 0.546683i | \(-0.184110\pi\) | |||||||
\(762\) | −1.90835 | − | 7.36513i | −0.0691323 | − | 0.266811i | ||||
\(763\) | −14.9612 | + | 13.5105i | −0.541631 | + | 0.489113i | ||||
\(764\) | 9.84226 | − | 34.4431i | 0.356081 | − | 1.24611i | ||||
\(765\) | −1.46479 | − | 0.192843i | −0.0529596 | − | 0.00697226i | ||||
\(766\) | −15.4082 | + | 6.23352i | −0.556720 | + | 0.225226i | ||||
\(767\) | −5.96619 | + | 3.44458i | −0.215427 | + | 0.124377i | ||||
\(768\) | 5.13244 | + | 15.1545i | 0.185201 | + | 0.546840i | ||||
\(769\) | − | 35.2927i | − | 1.27269i | −0.771405 | − | 0.636344i | \(-0.780446\pi\) | ||
0.771405 | − | 0.636344i | \(-0.219554\pi\) | |||||||
\(770\) | −2.60024 | + | 43.8892i | −0.0937061 | + | 1.58166i | ||||
\(771\) | −13.0344 | + | 5.39903i | −0.469423 | + | 0.194441i | ||||
\(772\) | −33.9557 | + | 32.8508i | −1.22209 | + | 1.18233i | ||||
\(773\) | 9.02181 | − | 1.18774i | 0.324492 | − | 0.0427202i | 0.0334795 | − | 0.999439i | \(-0.489341\pi\) |
0.291013 | + | 0.956719i | \(0.406008\pi\) | |||||||
\(774\) | 11.3739 | − | 11.1873i | 0.408826 | − | 0.402120i | ||||
\(775\) | 4.01610 | − | 1.07611i | 0.144263 | − | 0.0386551i | ||||
\(776\) | 11.8962 | + | 5.27695i | 0.427048 | + | 0.189431i | ||||
\(777\) | 10.2079 | + | 1.87660i | 0.366207 | + | 0.0673225i | ||||
\(778\) | −11.0606 | + | 18.7968i | −0.396540 | + | 0.673897i | ||||
\(779\) | 40.3869 | − | 30.9900i | 1.44701 | − | 1.11033i | ||||
\(780\) | −15.5073 | + | 11.4968i | −0.555249 | + | 0.411650i | ||||
\(781\) | 35.7429 | + | 27.4265i | 1.27898 | + | 0.981398i | ||||
\(782\) | 0.603962 | + | 4.90032i | 0.0215976 | + | 0.175235i | ||||
\(783\) | − | 1.59598i | − | 0.0570356i | ||||||
\(784\) | 27.7748 | − | 3.54393i | 0.991958 | − | 0.126569i | ||||
\(785\) | 29.1041i | 1.03877i | ||||||||
\(786\) | −24.5705 | + | 3.02831i | −0.876402 | + | 0.108016i | ||||
\(787\) | −6.15820 | − | 4.72535i | −0.219516 | − | 0.168441i | 0.493149 | − | 0.869945i | \(-0.335846\pi\) |
−0.712665 | + | 0.701504i | \(0.752512\pi\) | |||||||
\(788\) | 4.83601 | − | 32.5625i | 0.172276 | − | 1.15999i | ||||
\(789\) | −4.41794 | + | 3.39000i | −0.157283 | + | 0.120687i | ||||
\(790\) | −19.2382 | − | 11.3203i | −0.684465 | − | 0.402758i | ||||
\(791\) | 43.2184 | + | 7.94517i | 1.53667 | + | 0.282498i | ||||
\(792\) | −0.260250 | + | 10.4893i | −0.00924757 | + | 0.372722i | ||||
\(793\) | 2.27841 | − | 0.610497i | 0.0809086 | − | 0.0216794i | ||||
\(794\) | −3.38428 | − | 3.44072i | −0.120104 | − | 0.122107i | ||||
\(795\) | 23.7671 | − | 3.12899i | 0.842931 | − | 0.110974i | ||||
\(796\) | 53.7524 | + | 0.888995i | 1.90520 | + | 0.0315096i | ||||
\(797\) | 30.1015 | − | 12.4684i | 1.06625 | − | 0.441655i | 0.220584 | − | 0.975368i | \(-0.429204\pi\) |
0.845666 | + | 0.533713i | \(0.179204\pi\) | |||||||
\(798\) | −16.2042 | − | 0.960030i | −0.573624 | − | 0.0339847i | ||||
\(799\) | − | 4.66765i | − | 0.165130i | ||||||
\(800\) | −11.9735 | + | 25.8315i | −0.423326 | + | 0.913281i | ||||
\(801\) | −2.16548 | + | 1.25024i | −0.0765136 | + | 0.0441752i | ||||
\(802\) | −19.2708 | − | 47.6342i | −0.680477 | − | 1.68202i | ||||
\(803\) | −12.5797 | − | 1.65614i | −0.443926 | − | 0.0584440i | ||||
\(804\) | −4.84367 | − | 8.71936i | −0.170823 | − | 0.307508i | ||||
\(805\) | 46.5549 | − | 42.0408i | 1.64085 | − | 1.48174i | ||||
\(806\) | 3.44614 | − | 0.892918i | 0.121385 | − | 0.0314517i | ||||
\(807\) | −5.55066 | − | 20.7154i | −0.195393 | − | 0.729215i | ||||
\(808\) | −0.588576 | + | 1.99707i | −0.0207060 | + | 0.0702567i | ||||
\(809\) | −23.8221 | − | 6.38313i | −0.837542 | − | 0.224419i | −0.185541 | − | 0.982637i | \(-0.559404\pi\) |
−0.652001 | + | 0.758218i | \(0.726070\pi\) | |||||||
\(810\) | 2.20761 | + | 3.89778i | 0.0775676 | + | 0.136954i | ||||
\(811\) | −11.1997 | + | 27.0384i | −0.393274 | + | 0.949448i | 0.595948 | + | 0.803023i | \(0.296777\pi\) |
−0.989222 | + | 0.146425i | \(0.953223\pi\) | |||||||
\(812\) | −3.72006 | − | 7.58164i | −0.130549 | − | 0.266063i | ||||
\(813\) | −7.60248 | + | 3.14905i | −0.266631 | + | 0.110442i | ||||
\(814\) | 2.51749 | + | 20.4260i | 0.0882381 | + | 0.715930i | ||||
\(815\) | −36.8864 | + | 21.2964i | −1.29208 | + | 0.745980i | ||||
\(816\) | −1.74638 | + | 0.656594i | −0.0611355 | + | 0.0229854i | ||||
\(817\) | −24.4705 | + | 42.3841i | −0.856114 | + | 1.48283i | ||||
\(818\) | 22.2709 | + | 29.5263i | 0.778683 | + | 1.03236i | ||||
\(819\) | 3.67058 | + | 7.17813i | 0.128260 | + | 0.250824i | ||||
\(820\) | −73.8500 | + | 8.48268i | −2.57895 | + | 0.296228i | ||||
\(821\) | 15.4289 | + | 20.1073i | 0.538472 | + | 0.701751i | 0.980781 | − | 0.195112i | \(-0.0625070\pi\) |
−0.442308 | + | 0.896863i | \(0.645840\pi\) | |||||||
\(822\) | 0.925390 | + | 0.00765186i | 0.0322767 | + | 0.000266889i | ||||
\(823\) | 10.4431 | − | 38.9742i | 0.364024 | − | 1.35856i | −0.504715 | − | 0.863286i | \(-0.668402\pi\) |
0.868739 | − | 0.495270i | \(-0.164931\pi\) | |||||||
\(824\) | 4.06609 | − | 25.9026i | 0.141649 | − | 0.902359i | ||||
\(825\) | −13.2025 | + | 13.2025i | −0.459653 | + | 0.459653i | ||||
\(826\) | 6.39480 | + | 5.53751i | 0.222504 | + | 0.192675i | ||||
\(827\) | −1.19155 | + | 2.87666i | −0.0414342 | + | 0.100031i | −0.943242 | − | 0.332107i | \(-0.892241\pi\) |
0.901808 | + | 0.432138i | \(0.142241\pi\) | |||||||
\(828\) | 10.7590 | − | 10.4089i | 0.373902 | − | 0.361736i | ||||
\(829\) | 36.5604 | + | 28.0537i | 1.26979 | + | 0.974347i | 0.999934 | + | 0.0114472i | \(0.00364383\pi\) |
0.269859 | + | 0.962900i | \(0.413023\pi\) | |||||||
\(830\) | −26.0499 | − | 64.3907i | −0.904204 | − | 2.23503i | ||||
\(831\) | 3.11855 | − | 5.40149i | 0.108181 | − | 0.187376i | ||||
\(832\) | −10.4344 | + | 22.0317i | −0.361747 | + | 0.763813i | ||||
\(833\) | 0.520126 | + | 3.22334i | 0.0180213 | + | 0.111682i | ||||
\(834\) | −3.27289 | + | 23.3655i | −0.113331 | + | 0.809080i | ||||
\(835\) | 5.99520 | − | 45.5380i | 0.207472 | − | 1.57591i | ||||
\(836\) | −7.81555 | − | 31.2246i | −0.270306 | − | 1.07992i | ||||
\(837\) | −0.107826 | − | 0.819019i | −0.00372701 | − | 0.0283094i | ||||
\(838\) | 0.744573 | − | 2.68963i | 0.0257208 | − | 0.0929116i | ||||
\(839\) | 18.6831 | + | 18.6831i | 0.645014 | + | 0.645014i | 0.951784 | − | 0.306770i | \(-0.0992482\pi\) |
−0.306770 | + | 0.951784i | \(0.599248\pi\) | |||||||
\(840\) | 19.5725 | + | 13.3705i | 0.675316 | + | 0.461327i | ||||
\(841\) | 18.7050 | − | 18.7050i | 0.645000 | − | 0.645000i | ||||
\(842\) | 10.8757 | + | 19.2023i | 0.374803 | + | 0.661754i | ||||
\(843\) | −25.6513 | + | 3.37706i | −0.883478 | + | 0.116312i | ||||
\(844\) | −14.6289 | + | 10.8456i | −0.503548 | + | 0.373320i | ||||
\(845\) | 11.6650 | + | 1.53572i | 0.401287 | + | 0.0528305i | ||||
\(846\) | −11.2985 | + | 8.52218i | −0.388452 | + | 0.292999i | ||||
\(847\) | 0.583863 | + | 7.28346i | 0.0200618 | + | 0.250263i | ||||
\(848\) | 24.6131 | − | 17.6245i | 0.845218 | − | 0.605227i | ||||
\(849\) | −14.0092 | − | 8.08822i | −0.480795 | − | 0.277587i | ||||
\(850\) | −3.05669 | − | 1.29583i | −0.104843 | − | 0.0444467i | ||||
\(851\) | 17.8750 | − | 23.2952i | 0.612748 | − | 0.798548i | ||||
\(852\) | 22.5911 | − | 8.92280i | 0.773959 | − | 0.305690i | ||||
\(853\) | −30.9157 | − | 12.8057i | −1.05853 | − | 0.438459i | −0.215602 | − | 0.976481i | \(-0.569171\pi\) |
−0.842930 | + | 0.538023i | \(0.819171\pi\) | |||||||
\(854\) | −1.62419 | − | 2.39807i | −0.0555787 | − | 0.0820602i | ||||
\(855\) | −9.71690 | − | 9.71690i | −0.332311 | − | 0.332311i | ||||
\(856\) | −11.1395 | − | 46.1199i | −0.380739 | − | 1.57635i | ||||
\(857\) | −15.6044 | − | 4.18120i | −0.533037 | − | 0.142827i | −0.0177469 | − | 0.999843i | \(-0.505649\pi\) |
−0.515291 | + | 0.857016i | \(0.672316\pi\) | |||||||
\(858\) | −11.3973 | + | 11.2103i | −0.389097 | + | 0.382715i | ||||
\(859\) | 26.8625 | − | 20.6123i | 0.916536 | − | 0.703283i | −0.0386614 | − | 0.999252i | \(-0.512309\pi\) |
0.955197 | + | 0.295970i | \(0.0956427\pi\) | |||||||
\(860\) | 62.4731 | − | 34.7043i | 2.13032 | − | 1.18341i | ||||
\(861\) | −1.57977 | + | 31.0052i | −0.0538385 | + | 1.05666i | ||||
\(862\) | 6.11463 | − | 43.6529i | 0.208265 | − | 1.48682i | ||||
\(863\) | 5.25281 | + | 3.03271i | 0.178808 | + | 0.103235i | 0.586732 | − | 0.809781i | \(-0.300414\pi\) |
−0.407925 | + | 0.913016i | \(0.633747\pi\) | |||||||
\(864\) | 4.77789 | + | 3.02849i | 0.162547 | + | 0.103031i | ||||
\(865\) | 27.7934 | + | 48.1396i | 0.945005 | + | 1.63680i | ||||
\(866\) | 3.81401 | + | 2.97702i | 0.129605 | + | 0.101163i | ||||
\(867\) | 6.42236 | + | 15.5050i | 0.218115 | + | 0.526576i | ||||
\(868\) | −2.42127 | − | 3.63939i | −0.0821833 | − | 0.123529i | ||||
\(869\) | −17.0784 | − | 7.07409i | −0.579344 | − | 0.239972i | ||||
\(870\) | 1.90740 | − | 6.89010i | 0.0646668 | − | 0.233596i | ||||
\(871\) | 3.93328 | − | 14.6792i | 0.133274 | − | 0.497386i | ||||
\(872\) | −18.9248 | + | 10.3090i | −0.640874 | + | 0.349107i | ||||
\(873\) | 4.44438 | − | 1.19087i | 0.150419 | − | 0.0403048i | ||||
\(874\) | −23.2898 | + | 39.5796i | −0.787788 | + | 1.33880i | ||||
\(875\) | 0.0580774 | + | 0.271295i | 0.00196337 | + | 0.00917145i | ||||
\(876\) | −4.25346 | + | 5.35740i | −0.143711 | + | 0.181010i | ||||
\(877\) | 6.81787 | − | 51.7869i | 0.230223 | − | 1.74872i | −0.352283 | − | 0.935893i | \(-0.614595\pi\) |
0.582507 | − | 0.812826i | \(-0.302072\pi\) | |||||||
\(878\) | 8.53888 | − | 20.1420i | 0.288173 | − | 0.679759i | ||||
\(879\) | 1.67339 | + | 2.89840i | 0.0564422 | + | 0.0977607i | ||||
\(880\) | −13.6596 | + | 44.9731i | −0.460465 | + | 1.51604i | ||||
\(881\) | 7.61373 | 0.256513 | 0.128256 | − | 0.991741i | \(-0.459062\pi\) | ||||
0.128256 | + | 0.991741i | \(0.459062\pi\) | |||||||
\(882\) | 6.85279 | − | 7.14418i | 0.230745 | − | 0.240557i | ||||
\(883\) | −9.87102 | − | 23.8308i | −0.332186 | − | 0.801969i | −0.998418 | − | 0.0562240i | \(-0.982094\pi\) |
0.666232 | − | 0.745745i | \(-0.267906\pi\) | |||||||
\(884\) | −2.60791 | − | 1.13111i | −0.0877136 | − | 0.0380434i | ||||
\(885\) | 0.934714 | + | 7.09986i | 0.0314201 | + | 0.238659i | ||||
\(886\) | −0.483654 | + | 58.4914i | −0.0162487 | + | 1.96506i | ||||
\(887\) | 5.10271 | + | 19.0436i | 0.171332 | + | 0.639420i | 0.997147 | + | 0.0754795i | \(0.0240487\pi\) |
−0.825815 | + | 0.563941i | \(0.809285\pi\) | |||||||
\(888\) | 10.1425 | + | 4.49905i | 0.340360 | + | 0.150978i | ||||
\(889\) | −13.9993 | − | 2.57360i | −0.469522 | − | 0.0863158i | ||||
\(890\) | −10.8429 | + | 2.80948i | −0.363456 | + | 0.0941738i | ||||
\(891\) | 2.25831 | + | 2.94309i | 0.0756562 | + | 0.0985971i | ||||
\(892\) | −13.1259 | − | 52.4405i | −0.439489 | − | 1.75584i | ||||
\(893\) | 26.4290 | − | 34.4430i | 0.884414 | − | 1.15259i | ||||
\(894\) | 1.79119 | + | 1.39811i | 0.0599064 | + | 0.0467598i | ||||
\(895\) | −38.5153 | −1.28742 | ||||||||
\(896\) | 29.7563 | + | 3.24996i | 0.994088 | + | 0.108574i | ||||
\(897\) | 22.8085 | 0.761555 | ||||||||
\(898\) | 5.57988 | + | 4.35537i | 0.186203 | + | 0.145340i | ||||
\(899\) | −0.802601 | + | 1.04597i | −0.0267682 | + | 0.0348850i | ||||
\(900\) | 2.44418 | + | 9.76497i | 0.0814728 | + | 0.325499i | ||||
\(901\) | 2.14895 | + | 2.80056i | 0.0715918 | + | 0.0933002i | ||||
\(902\) | −59.5923 | + | 15.4407i | −1.98421 | + | 0.514121i | ||||
\(903\) | −10.0039 | − | 28.1202i | −0.332908 | − | 0.935783i | ||||
\(904\) | 42.9416 | + | 19.0482i | 1.42822 | + | 0.633532i | ||||
\(905\) | −4.02511 | − | 15.0219i | −0.133799 | − | 0.499345i | ||||
\(906\) | −0.0140654 | + | 1.70103i | −0.000467293 | + | 0.0565128i | ||||
\(907\) | 1.83501 | + | 13.9383i | 0.0609305 | + | 0.462813i | 0.994526 | + | 0.104486i | \(0.0333196\pi\) |
−0.933596 | + | 0.358328i | \(0.883347\pi\) | |||||||
\(908\) | −1.45272 | − | 0.630080i | −0.0482103 | − | 0.0209099i | ||||
\(909\) | 0.281692 | + | 0.680065i | 0.00934314 | + | 0.0225563i | ||||
\(910\) | 7.26771 | + | 35.3759i | 0.240922 | + | 1.17270i | ||||
\(911\) | −3.93805 | −0.130473 | −0.0652367 | − | 0.997870i | \(-0.520780\pi\) | ||||
−0.0652367 | + | 0.997870i | \(0.520780\pi\) | |||||||
\(912\) | −16.6044 | − | 5.04324i | −0.549828 | − | 0.166998i | ||||
\(913\) | −28.7615 | − | 49.8164i | −0.951867 | − | 1.64868i | ||||
\(914\) | 17.7559 | − | 41.8835i | 0.587312 | − | 1.38538i | ||||
\(915\) | 0.320036 | − | 2.43092i | 0.0105801 | − | 0.0803637i | ||||
\(916\) | 0.758537 | − | 0.955407i | 0.0250628 | − | 0.0315675i | ||||
\(917\) | −14.2482 | + | 44.0690i | −0.470516 | + | 1.45529i | ||||
\(918\) | −0.334530 | + | 0.568515i | −0.0110411 | + | 0.0187638i | ||||
\(919\) | 29.0395 | − | 7.78110i | 0.957923 | − | 0.256675i | 0.254202 | − | 0.967151i | \(-0.418187\pi\) |
0.703721 | + | 0.710476i | \(0.251520\pi\) | |||||||
\(920\) | 58.8885 | − | 32.0787i | 1.94150 | − | 1.05760i | ||||
\(921\) | −4.29468 | + | 16.0280i | −0.141514 | + | 0.528139i | ||||
\(922\) | −3.52786 | + | 12.7437i | −0.116184 | + | 0.419692i | ||||
\(923\) | 34.1905 | + | 14.1622i | 1.12539 | + | 0.466154i | ||||
\(924\) | 17.5881 | + | 8.71714i | 0.578605 | + | 0.286773i | ||||
\(925\) | 7.55581 | + | 18.2413i | 0.248433 | + | 0.599771i | ||||
\(926\) | 11.1581 | + | 8.70945i | 0.366678 | + | 0.286210i | ||||
\(927\) | −4.63504 | − | 8.02813i | −0.152235 | − | 0.263678i | ||||
\(928\) | −1.97425 | − | 8.80972i | −0.0648078 | − | 0.289193i | ||||
\(929\) | 14.7366 | + | 8.50816i | 0.483491 | + | 0.279144i | 0.721870 | − | 0.692029i | \(-0.243283\pi\) |
−0.238379 | + | 0.971172i | \(0.576616\pi\) | |||||||
\(930\) | 0.513328 | − | 3.66470i | 0.0168327 | − | 0.120170i | ||||
\(931\) | −14.4130 | + | 26.7303i | −0.472368 | + | 0.876051i | ||||
\(932\) | −28.0418 | + | 15.5774i | −0.918539 | + | 0.510255i | ||||
\(933\) | −5.98846 | + | 4.59511i | −0.196054 | + | 0.150437i | ||||
\(934\) | 34.0394 | − | 33.4811i | 1.11380 | − | 1.09554i | ||||
\(935\) | −5.29404 | − | 1.41853i | −0.173134 | − | 0.0463910i | ||||
\(936\) | 2.02354 | + | 8.37792i | 0.0661415 | + | 0.273841i | ||||
\(937\) | 27.4838 | + | 27.4838i | 0.897857 | + | 0.897857i | 0.995246 | − | 0.0973891i | \(-0.0310491\pi\) |
−0.0973891 | + | 0.995246i | \(0.531049\pi\) | |||||||
\(938\) | −18.6124 | + | 1.33723i | −0.607716 | + | 0.0436622i | ||||
\(939\) | 11.9045 | + | 4.93101i | 0.388489 | + | 0.160917i | ||||
\(940\) | −58.9627 | + | 23.2885i | −1.92315 | + | 0.759586i | ||||
\(941\) | −11.0217 | + | 14.3638i | −0.359297 | + | 0.468245i | −0.937670 | − | 0.347528i | \(-0.887021\pi\) |
0.578373 | + | 0.815773i | \(0.303688\pi\) | |||||||
\(942\) | 11.9636 | + | 5.07178i | 0.389795 | + | 0.165247i | ||||
\(943\) | 76.0630 | + | 43.9150i | 2.47695 | + | 1.43007i | ||||
\(944\) | 5.26491 | + | 7.35260i | 0.171358 | + | 0.239307i | ||||
\(945\) | 8.35364 | − | 0.669652i | 0.271744 | − | 0.0217838i | ||||
\(946\) | 47.2495 | − | 35.6390i | 1.53621 | − | 1.15872i | ||||
\(947\) | 25.1378 | + | 3.30946i | 0.816869 | + | 0.107543i | 0.527370 | − | 0.849636i | \(-0.323178\pi\) |
0.289499 | + | 0.957178i | \(0.406511\pi\) | |||||||
\(948\) | −8.00587 | + | 5.93539i | −0.260019 | + | 0.192772i | ||||
\(949\) | −10.3332 | + | 1.36039i | −0.335430 | + | 0.0441603i | ||||
\(950\) | −15.2183 | − | 26.8696i | −0.493747 | − | 0.871763i | ||||
\(951\) | 10.7207 | − | 10.7207i | 0.347642 | − | 0.347642i | ||||
\(952\) | −0.264023 | + | 3.48046i | −0.00855705 | + | 0.112803i | ||||
\(953\) | −2.58794 | − | 2.58794i | −0.0838315 | − | 0.0838315i | 0.663948 | − | 0.747779i | \(-0.268880\pi\) |
−0.747779 | + | 0.663948i | \(0.768880\pi\) | |||||||
\(954\) | 2.85552 | − | 10.3150i | 0.0924508 | − | 0.333961i | ||||
\(955\) | −7.40512 | − | 56.2475i | −0.239624 | − | 1.82013i | ||||
\(956\) | −13.5343 | − | 54.0722i | −0.437732 | − | 1.74882i | ||||
\(957\) | 0.772789 | − | 5.86992i | 0.0249807 | − | 0.189748i | ||||
\(958\) | 3.57682 | − | 25.5353i | 0.115562 | − | 0.825007i | ||||
\(959\) | 0.743076 | − | 1.56373i | 0.0239952 | − | 0.0504955i | ||||
\(960\) | 17.0075 | + | 18.7847i | 0.548915 | + | 0.606273i | ||||
\(961\) | 15.1588 | − | 26.2558i | 0.488993 | − | 0.846961i | ||||
\(962\) | 6.34002 | + | 15.6714i | 0.204411 | + | 0.505268i | ||||
\(963\) | −13.3083 | − | 10.2118i | −0.428854 | − | 0.329071i | ||||
\(964\) | 8.83929 | − | 8.55167i | 0.284694 | − | 0.275431i | ||||
\(965\) | −28.6346 | + | 69.1299i | −0.921779 | + | 2.22537i | ||||
\(966\) | −9.16857 | − | 26.4632i | −0.294994 | − | 0.851438i | ||||
\(967\) | −28.7286 | + | 28.7286i | −0.923848 | + | 0.923848i | −0.997299 | − | 0.0734504i | \(-0.976599\pi\) |
0.0734504 | + | 0.997299i | \(0.476599\pi\) | |||||||
\(968\) | −1.21136 | + | 7.71683i | −0.0389345 | + | 0.248028i | ||||
\(969\) | 0.523734 | − | 1.95460i | 0.0168248 | − | 0.0627908i | ||||
\(970\) | 20.6103 | + | 0.170423i | 0.661758 | + | 0.00547194i | ||||
\(971\) | 30.4280 | + | 39.6546i | 0.976482 | + | 1.27258i | 0.962105 | + | 0.272680i | \(0.0879100\pi\) |
0.0143774 | + | 0.999897i | \(0.495423\pi\) | |||||||
\(972\) | 1.98694 | − | 0.228227i | 0.0637310 | − | 0.00732038i | ||||
\(973\) | 37.0534 | + | 23.9863i | 1.18788 | + | 0.768967i | ||||
\(974\) | 1.51922 | + | 2.01415i | 0.0486788 | + | 0.0645375i | ||||
\(975\) | −7.66848 | + | 13.2822i | −0.245588 | + | 0.425371i | ||||
\(976\) | −1.08966 | − | 2.89823i | −0.0348792 | − | 0.0927702i | ||||
\(977\) | 7.81003 | − | 4.50912i | 0.249865 | − | 0.144260i | −0.369837 | − | 0.929096i | \(-0.620587\pi\) |
0.619702 | + | 0.784837i | \(0.287253\pi\) | |||||||
\(978\) | 2.32619 | + | 18.8738i | 0.0743833 | + | 0.603518i | ||||
\(979\) | −8.56991 | + | 3.54977i | −0.273895 | + | 0.113451i | ||||
\(980\) | 38.1228 | − | 22.6526i | 1.21779 | − | 0.723612i | ||||
\(981\) | −2.91576 | + | 7.03926i | −0.0930930 | + | 0.224746i | ||||
\(982\) | 7.88448 | + | 13.9209i | 0.251604 | + | 0.444234i | ||||
\(983\) | 26.0550 | + | 6.98143i | 0.831027 | + | 0.222673i | 0.649162 | − | 0.760650i | \(-0.275120\pi\) |
0.181865 | + | 0.983323i | \(0.441787\pi\) | |||||||
\(984\) | −9.38244 | + | 31.8352i | −0.299101 | + | 1.01487i | ||||
\(985\) | −13.4940 | − | 50.3601i | −0.429953 | − | 1.60461i | ||||
\(986\) | 1.01911 | − | 0.264058i | 0.0324551 | − | 0.00840932i | ||||
\(987\) | 5.54234 | + | 25.8898i | 0.176415 | + | 0.824080i | ||||
\(988\) | −12.8395 | − | 23.1130i | −0.408478 | − | 0.735324i | ||||
\(989\) | −83.7163 | − | 11.0215i | −2.66202 | − | 0.350462i | ||||
\(990\) | 6.23213 | + | 15.4047i | 0.198070 | + | 0.489595i | ||||
\(991\) | −47.9598 | + | 27.6896i | −1.52349 | + | 0.879590i | −0.523881 | + | 0.851792i | \(0.675516\pi\) |
−0.999614 | + | 0.0277980i | \(0.991150\pi\) | |||||||
\(992\) | −1.60833 | − | 4.38756i | −0.0510645 | − | 0.139305i | ||||
\(993\) | − | 23.5780i | − | 0.748226i | ||||||
\(994\) | 2.68749 | − | 45.3618i | 0.0852419 | − | 1.43879i | ||||
\(995\) | 78.6611 | − | 32.5825i | 2.49372 | − | 1.03293i | ||||
\(996\) | −31.0081 | − | 0.512835i | −0.982531 | − | 0.0162498i | ||||
\(997\) | −38.8373 | + | 5.11302i | −1.22999 | + | 0.161931i | −0.717374 | − | 0.696688i | \(-0.754656\pi\) |
−0.512614 | + | 0.858619i | \(0.671323\pi\) | |||||||
\(998\) | −15.2976 | − | 15.5527i | −0.484236 | − | 0.492311i | ||||
\(999\) | 3.78921 | − | 1.01532i | 0.119885 | − | 0.0321232i |
(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 | 672.2.cf.a.187.14 | yes | 512 | |
7.3 | odd | 6 | inner | 672.2.cf.a.283.57 | yes | 512 | |
32.19 | odd | 8 | inner | 672.2.cf.a.19.57 | ✓ | 512 | |
224.115 | even | 24 | inner | 672.2.cf.a.115.14 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.cf.a.19.57 | ✓ | 512 | 32.19 | odd | 8 | inner | |
672.2.cf.a.115.14 | yes | 512 | 224.115 | even | 24 | inner | |
672.2.cf.a.187.14 | yes | 512 | 1.1 | even | 1 | trivial | |
672.2.cf.a.283.57 | yes | 512 | 7.3 | odd | 6 | inner |