Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(19,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.cg (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.8 | ||
Character | \(\chi\) | \(=\) | 273.19 |
Dual form | 273.2.cg.a.115.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.02536 | + | 0.542694i | 1.43215 | + | 0.383743i | 0.889777 | − | 0.456396i | \(-0.150860\pi\) |
0.542371 | + | 0.840139i | \(0.317527\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | 2.07553 | + | 1.19831i | 1.03776 | + | 0.599153i | ||||
\(5\) | 1.89270 | − | 0.507149i | 0.846443 | − | 0.226804i | 0.190569 | − | 0.981674i | \(-0.438967\pi\) |
0.655874 | + | 0.754870i | \(0.272300\pi\) | |||||||
\(6\) | 0.542694 | − | 2.02536i | 0.221554 | − | 0.826851i | ||||
\(7\) | −1.04247 | + | 2.43172i | −0.394017 | + | 0.919103i | ||||
\(8\) | 0.588043 | + | 0.588043i | 0.207905 | + | 0.207905i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 4.10864 | 1.29927 | ||||||||
\(11\) | 1.77246 | + | 1.77246i | 0.534418 | + | 0.534418i | 0.921884 | − | 0.387466i | \(-0.126650\pi\) |
−0.387466 | + | 0.921884i | \(0.626650\pi\) | |||||||
\(12\) | 1.19831 | − | 2.07553i | 0.345921 | − | 0.599153i | ||||
\(13\) | −3.33753 | − | 1.36415i | −0.925664 | − | 0.378347i | ||||
\(14\) | −3.43106 | + | 4.35937i | −0.916990 | + | 1.16509i | ||||
\(15\) | −0.507149 | − | 1.89270i | −0.130945 | − | 0.488694i | ||||
\(16\) | −1.52474 | − | 2.64092i | −0.381185 | − | 0.660231i | ||||
\(17\) | 3.66044 | − | 6.34007i | 0.887787 | − | 1.53769i | 0.0453018 | − | 0.998973i | \(-0.485575\pi\) |
0.842485 | − | 0.538719i | \(-0.181092\pi\) | |||||||
\(18\) | −2.02536 | − | 0.542694i | −0.477383 | − | 0.127914i | ||||
\(19\) | 0.681492 | + | 0.681492i | 0.156345 | + | 0.156345i | 0.780945 | − | 0.624600i | \(-0.214738\pi\) |
−0.624600 | + | 0.780945i | \(0.714738\pi\) | |||||||
\(20\) | 4.53608 | + | 1.21544i | 1.01430 | + | 0.271780i | ||||
\(21\) | 2.43172 | + | 1.04247i | 0.530644 | + | 0.227486i | ||||
\(22\) | 2.62798 | + | 4.55179i | 0.560287 | + | 0.970445i | ||||
\(23\) | −5.74884 | + | 3.31909i | −1.19872 | + | 0.692079i | −0.960269 | − | 0.279077i | \(-0.909972\pi\) |
−0.238447 | + | 0.971156i | \(0.576638\pi\) | |||||||
\(24\) | 0.588043 | − | 0.588043i | 0.120034 | − | 0.120034i | ||||
\(25\) | −1.00500 | + | 0.580235i | −0.200999 | + | 0.116047i | ||||
\(26\) | −6.01939 | − | 4.57415i | −1.18050 | − | 0.897065i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −5.07762 | + | 3.79790i | −0.959580 | + | 0.717735i | ||||
\(29\) | −5.21743 | + | 9.03685i | −0.968852 | + | 1.67810i | −0.269965 | + | 0.962870i | \(0.587012\pi\) |
−0.698888 | + | 0.715232i | \(0.746321\pi\) | |||||||
\(30\) | − | 4.10864i | − | 0.750132i | ||||||
\(31\) | −0.782577 | + | 2.92062i | −0.140555 | + | 0.524558i | 0.859358 | + | 0.511374i | \(0.170863\pi\) |
−0.999913 | + | 0.0131839i | \(0.995803\pi\) | |||||||
\(32\) | −2.08541 | − | 7.78286i | −0.368652 | − | 1.37583i | ||||
\(33\) | 1.77246 | − | 1.77246i | 0.308546 | − | 0.308546i | ||||
\(34\) | 10.8544 | − | 10.8544i | 1.86152 | − | 1.86152i | ||||
\(35\) | −0.739848 | + | 5.13121i | −0.125057 | + | 0.867333i | ||||
\(36\) | −2.07553 | − | 1.19831i | −0.345921 | − | 0.199718i | ||||
\(37\) | −0.356539 | + | 1.33062i | −0.0586147 | + | 0.218753i | −0.989021 | − | 0.147778i | \(-0.952788\pi\) |
0.930406 | + | 0.366531i | \(0.119455\pi\) | |||||||
\(38\) | 1.01043 | + | 1.75011i | 0.163913 | + | 0.283905i | ||||
\(39\) | −1.36415 | + | 3.33753i | −0.218439 | + | 0.534432i | ||||
\(40\) | 1.41122 | + | 0.814767i | 0.223133 | + | 0.128826i | ||||
\(41\) | −0.710011 | + | 0.190247i | −0.110885 | + | 0.0297116i | −0.313835 | − | 0.949478i | \(-0.601614\pi\) |
0.202950 | + | 0.979189i | \(0.434947\pi\) | |||||||
\(42\) | 4.35937 | + | 3.43106i | 0.672665 | + | 0.529424i | ||||
\(43\) | 10.1261 | − | 5.84633i | 1.54422 | − | 0.891556i | 0.545656 | − | 0.838009i | \(-0.316281\pi\) |
0.998565 | − | 0.0535470i | \(-0.0170527\pi\) | |||||||
\(44\) | 1.55484 | + | 5.80275i | 0.234401 | + | 0.874798i | ||||
\(45\) | −1.89270 | + | 0.507149i | −0.282148 | + | 0.0756012i | ||||
\(46\) | −13.4447 | + | 3.60251i | −1.98232 | + | 0.531160i | ||||
\(47\) | −0.971849 | − | 3.62699i | −0.141759 | − | 0.529051i | −0.999878 | − | 0.0156008i | \(-0.995034\pi\) |
0.858120 | − | 0.513450i | \(-0.171633\pi\) | |||||||
\(48\) | −2.64092 | + | 1.52474i | −0.381185 | + | 0.220077i | ||||
\(49\) | −4.82651 | − | 5.06999i | −0.689501 | − | 0.724285i | ||||
\(50\) | −2.35037 | + | 0.629781i | −0.332393 | + | 0.0890645i | ||||
\(51\) | −6.34007 | − | 3.66044i | −0.887787 | − | 0.512564i | ||||
\(52\) | −5.29246 | − | 6.83071i | −0.733932 | − | 0.947249i | ||||
\(53\) | −1.15862 | − | 2.00679i | −0.159149 | − | 0.275654i | 0.775413 | − | 0.631454i | \(-0.217542\pi\) |
−0.934562 | + | 0.355800i | \(0.884208\pi\) | |||||||
\(54\) | −0.542694 | + | 2.02536i | −0.0738513 | + | 0.275617i | ||||
\(55\) | 4.25365 | + | 2.45585i | 0.573563 | + | 0.331147i | ||||
\(56\) | −2.04297 | + | 0.816937i | −0.273004 | + | 0.109168i | ||||
\(57\) | 0.681492 | − | 0.681492i | 0.0902658 | − | 0.0902658i | ||||
\(58\) | −15.4714 | + | 15.4714i | −2.03150 | + | 2.03150i | ||||
\(59\) | 1.22948 | + | 4.58848i | 0.160065 | + | 0.597369i | 0.998618 | + | 0.0525503i | \(0.0167350\pi\) |
−0.838554 | + | 0.544819i | \(0.816598\pi\) | |||||||
\(60\) | 1.21544 | − | 4.53608i | 0.156912 | − | 0.585605i | ||||
\(61\) | − | 9.45408i | − | 1.21047i | −0.796046 | − | 0.605236i | \(-0.793079\pi\) | ||
0.796046 | − | 0.605236i | \(-0.206921\pi\) | |||||||
\(62\) | −3.17000 | + | 5.49061i | −0.402591 | + | 0.697308i | ||||
\(63\) | 1.04247 | − | 2.43172i | 0.131339 | − | 0.306368i | ||||
\(64\) | − | 10.7959i | − | 1.34949i | ||||||
\(65\) | −7.00878 | − | 0.889307i | −0.869332 | − | 0.110305i | ||||
\(66\) | 4.55179 | − | 2.62798i | 0.560287 | − | 0.323482i | ||||
\(67\) | 4.43646 | − | 4.43646i | 0.542000 | − | 0.542000i | −0.382115 | − | 0.924115i | \(-0.624804\pi\) |
0.924115 | + | 0.382115i | \(0.124804\pi\) | |||||||
\(68\) | 15.1947 | − | 8.77265i | 1.84263 | − | 1.06384i | ||||
\(69\) | 3.31909 | + | 5.74884i | 0.399572 | + | 0.692079i | ||||
\(70\) | −4.28314 | + | 9.99105i | −0.511933 | + | 1.19416i | ||||
\(71\) | 8.32895 | + | 2.23174i | 0.988465 | + | 0.264858i | 0.716606 | − | 0.697479i | \(-0.245695\pi\) |
0.271859 | + | 0.962337i | \(0.412361\pi\) | |||||||
\(72\) | −0.588043 | − | 0.588043i | −0.0693016 | − | 0.0693016i | ||||
\(73\) | 7.50661 | + | 2.01139i | 0.878583 | + | 0.235415i | 0.669795 | − | 0.742546i | \(-0.266382\pi\) |
0.208787 | + | 0.977961i | \(0.433048\pi\) | |||||||
\(74\) | −1.44424 | + | 2.50150i | −0.167890 | + | 0.290794i | ||||
\(75\) | 0.580235 | + | 1.00500i | 0.0669998 | + | 0.116047i | ||||
\(76\) | 0.597819 | + | 2.23109i | 0.0685745 | + | 0.255923i | ||||
\(77\) | −6.15788 | + | 2.46239i | −0.701755 | + | 0.280615i | ||||
\(78\) | −4.57415 | + | 6.01939i | −0.517921 | + | 0.681562i | ||||
\(79\) | −2.31642 | + | 4.01217i | −0.260618 | + | 0.451404i | −0.966406 | − | 0.257019i | \(-0.917260\pi\) |
0.705788 | + | 0.708423i | \(0.250593\pi\) | |||||||
\(80\) | −4.22522 | − | 4.22522i | −0.472394 | − | 0.472394i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −1.54128 | −0.170206 | ||||||||
\(83\) | 10.1090 | + | 10.1090i | 1.10961 | + | 1.10961i | 0.993202 | + | 0.116405i | \(0.0371372\pi\) |
0.116405 | + | 0.993202i | \(0.462863\pi\) | |||||||
\(84\) | 3.79790 | + | 5.07762i | 0.414384 | + | 0.554014i | ||||
\(85\) | 3.71277 | − | 13.8563i | 0.402707 | − | 1.50292i | ||||
\(86\) | 23.6819 | − | 6.34554i | 2.55368 | − | 0.684257i | ||||
\(87\) | 9.03685 | + | 5.21743i | 0.968852 | + | 0.559367i | ||||
\(88\) | 2.08457i | 0.222216i | ||||||||
\(89\) | −3.95954 | − | 1.06096i | −0.419711 | − | 0.112461i | 0.0427815 | − | 0.999084i | \(-0.486378\pi\) |
−0.462492 | + | 0.886623i | \(0.653045\pi\) | |||||||
\(90\) | −4.10864 | −0.433089 | ||||||||
\(91\) | 6.79650 | − | 6.69384i | 0.712467 | − | 0.701705i | ||||
\(92\) | −15.9091 | −1.65864 | ||||||||
\(93\) | 2.92062 | + | 0.782577i | 0.302854 | + | 0.0811494i | ||||
\(94\) | − | 7.87339i | − | 0.812078i | ||||||
\(95\) | 1.63548 | + | 0.944245i | 0.167797 | + | 0.0968775i | ||||
\(96\) | −7.78286 | + | 2.08541i | −0.794335 | + | 0.212841i | ||||
\(97\) | 2.63968 | − | 9.85141i | 0.268019 | − | 1.00026i | −0.692358 | − | 0.721554i | \(-0.743428\pi\) |
0.960377 | − | 0.278705i | \(-0.0899052\pi\) | |||||||
\(98\) | −7.02397 | − | 12.8879i | −0.709528 | − | 1.30187i | ||||
\(99\) | −1.77246 | − | 1.77246i | −0.178139 | − | 0.178139i | ||||
\(100\) | −2.78120 | −0.278120 | ||||||||
\(101\) | −3.80563 | −0.378675 | −0.189337 | − | 0.981912i | \(-0.560634\pi\) | ||||
−0.189337 | + | 0.981912i | \(0.560634\pi\) | |||||||
\(102\) | −10.8544 | − | 10.8544i | −1.07475 | − | 1.07475i | ||||
\(103\) | 4.75097 | − | 8.22892i | 0.468127 | − | 0.810819i | −0.531210 | − | 0.847240i | \(-0.678262\pi\) |
0.999337 | + | 0.0364211i | \(0.0115958\pi\) | |||||||
\(104\) | −1.16043 | − | 2.76479i | −0.113790 | − | 0.271110i | ||||
\(105\) | 5.13121 | + | 0.739848i | 0.500755 | + | 0.0722018i | ||||
\(106\) | −1.25755 | − | 4.69325i | −0.122144 | − | 0.455849i | ||||
\(107\) | 4.87752 | + | 8.44811i | 0.471527 | + | 0.816709i | 0.999469 | − | 0.0325711i | \(-0.0103695\pi\) |
−0.527942 | + | 0.849280i | \(0.677036\pi\) | |||||||
\(108\) | −1.19831 | + | 2.07553i | −0.115307 | + | 0.199718i | ||||
\(109\) | −5.75506 | − | 1.54206i | −0.551235 | − | 0.147703i | −0.0275585 | − | 0.999620i | \(-0.508773\pi\) |
−0.523676 | + | 0.851917i | \(0.675440\pi\) | |||||||
\(110\) | 7.28242 | + | 7.28242i | 0.694351 | + | 0.694351i | ||||
\(111\) | 1.33062 | + | 0.356539i | 0.126297 | + | 0.0338412i | ||||
\(112\) | 8.01148 | − | 0.954645i | 0.757014 | − | 0.0902055i | ||||
\(113\) | 5.65861 | + | 9.80099i | 0.532317 | + | 0.922000i | 0.999288 | + | 0.0377273i | \(0.0120118\pi\) |
−0.466971 | + | 0.884273i | \(0.654655\pi\) | |||||||
\(114\) | 1.75011 | − | 1.01043i | 0.163913 | − | 0.0946351i | ||||
\(115\) | −9.19757 | + | 9.19757i | −0.857678 | + | 0.857678i | ||||
\(116\) | −21.6578 | + | 12.5042i | −2.01088 | + | 1.16098i | ||||
\(117\) | 3.33753 | + | 1.36415i | 0.308555 | + | 0.126116i | ||||
\(118\) | 9.96057i | 0.916945i | ||||||||
\(119\) | 11.6014 | + | 15.5105i | 1.06349 | + | 1.42185i | ||||
\(120\) | 0.814767 | − | 1.41122i | 0.0743777 | − | 0.128826i | ||||
\(121\) | − | 4.71674i | − | 0.428795i | ||||||
\(122\) | 5.13068 | − | 19.1479i | 0.464510 | − | 1.73357i | ||||
\(123\) | 0.190247 | + | 0.710011i | 0.0171540 | + | 0.0640196i | ||||
\(124\) | −5.12405 | + | 5.12405i | −0.460153 | + | 0.460153i | ||||
\(125\) | −8.53568 | + | 8.53568i | −0.763454 | + | 0.763454i | ||||
\(126\) | 3.43106 | − | 4.35937i | 0.305663 | − | 0.388363i | ||||
\(127\) | 9.81199 | + | 5.66496i | 0.870673 | + | 0.502684i | 0.867572 | − | 0.497312i | \(-0.165679\pi\) |
0.00310144 | + | 0.999995i | \(0.499013\pi\) | |||||||
\(128\) | 1.68805 | − | 6.29990i | 0.149204 | − | 0.556838i | ||||
\(129\) | −5.84633 | − | 10.1261i | −0.514740 | − | 0.891556i | ||||
\(130\) | −13.7127 | − | 5.60479i | −1.20268 | − | 0.491573i | ||||
\(131\) | −12.3925 | − | 7.15480i | −1.08274 | − | 0.625118i | −0.151102 | − | 0.988518i | \(-0.548282\pi\) |
−0.931633 | + | 0.363401i | \(0.881616\pi\) | |||||||
\(132\) | 5.80275 | − | 1.55484i | 0.505065 | − | 0.135332i | ||||
\(133\) | −2.36763 | + | 0.946760i | −0.205300 | + | 0.0820945i | ||||
\(134\) | 11.3931 | − | 6.57780i | 0.984213 | − | 0.568235i | ||||
\(135\) | 0.507149 | + | 1.89270i | 0.0436484 | + | 0.162898i | ||||
\(136\) | 5.88073 | − | 1.57574i | 0.504269 | − | 0.135118i | ||||
\(137\) | 5.50160 | − | 1.47415i | 0.470034 | − | 0.125945i | −0.0160245 | − | 0.999872i | \(-0.505101\pi\) |
0.486058 | + | 0.873926i | \(0.338434\pi\) | |||||||
\(138\) | 3.60251 | + | 13.4447i | 0.306666 | + | 1.14449i | ||||
\(139\) | −9.38055 | + | 5.41586i | −0.795648 | + | 0.459368i | −0.841947 | − | 0.539560i | \(-0.818591\pi\) |
0.0462992 | + | 0.998928i | \(0.485257\pi\) | |||||||
\(140\) | −7.68433 | + | 9.76340i | −0.649445 | + | 0.825158i | ||||
\(141\) | −3.62699 | + | 0.971849i | −0.305448 | + | 0.0818444i | ||||
\(142\) | 15.6580 | + | 9.04015i | 1.31399 | + | 0.758633i | ||||
\(143\) | −3.49775 | − | 8.33356i | −0.292496 | − | 0.696887i | ||||
\(144\) | 1.52474 | + | 2.64092i | 0.127062 | + | 0.220077i | ||||
\(145\) | −5.29202 | + | 19.7501i | −0.439479 | + | 1.64016i | ||||
\(146\) | 14.1120 | + | 8.14759i | 1.16792 | + | 0.674300i | ||||
\(147\) | −5.06999 | + | 4.82651i | −0.418166 | + | 0.398084i | ||||
\(148\) | −2.33450 | + | 2.33450i | −0.191895 | + | 0.191895i | ||||
\(149\) | 6.30814 | − | 6.30814i | 0.516783 | − | 0.516783i | −0.399813 | − | 0.916597i | \(-0.630925\pi\) |
0.916597 | + | 0.399813i | \(0.130925\pi\) | |||||||
\(150\) | 0.629781 | + | 2.35037i | 0.0514214 | + | 0.191907i | ||||
\(151\) | 3.32882 | − | 12.4233i | 0.270896 | − | 1.01100i | −0.687647 | − | 0.726046i | \(-0.741356\pi\) |
0.958542 | − | 0.284951i | \(-0.0919772\pi\) | |||||||
\(152\) | 0.801493i | 0.0650097i | ||||||||
\(153\) | −3.66044 | + | 6.34007i | −0.295929 | + | 0.512564i | ||||
\(154\) | −13.8083 | + | 1.64539i | −1.11270 | + | 0.132589i | ||||
\(155\) | 5.92474i | 0.475887i | ||||||||
\(156\) | −6.83071 | + | 5.29246i | −0.546894 | + | 0.423736i | ||||
\(157\) | −3.95550 | + | 2.28371i | −0.315683 | + | 0.182260i | −0.649467 | − | 0.760390i | \(-0.725008\pi\) |
0.333784 | + | 0.942650i | \(0.391675\pi\) | |||||||
\(158\) | −6.86898 | + | 6.86898i | −0.546467 | + | 0.546467i | ||||
\(159\) | −2.00679 | + | 1.15862i | −0.159149 | + | 0.0918846i | ||||
\(160\) | −7.89413 | − | 13.6730i | −0.624086 | − | 1.08095i | ||||
\(161\) | −2.07810 | − | 17.4396i | −0.163777 | − | 1.37443i | ||||
\(162\) | 2.02536 | + | 0.542694i | 0.159128 | + | 0.0426381i | ||||
\(163\) | −1.81401 | − | 1.81401i | −0.142084 | − | 0.142084i | 0.632487 | − | 0.774571i | \(-0.282034\pi\) |
−0.774571 | + | 0.632487i | \(0.782034\pi\) | |||||||
\(164\) | −1.70162 | − | 0.455948i | −0.132874 | − | 0.0356036i | ||||
\(165\) | 2.45585 | − | 4.25365i | 0.191188 | − | 0.331147i | ||||
\(166\) | 14.9883 | + | 25.9605i | 1.16332 | + | 2.01493i | ||||
\(167\) | −1.90396 | − | 7.10569i | −0.147333 | − | 0.549855i | −0.999640 | − | 0.0268134i | \(-0.991464\pi\) |
0.852307 | − | 0.523041i | \(-0.175203\pi\) | |||||||
\(168\) | 0.816937 | + | 2.04297i | 0.0630281 | + | 0.157619i | ||||
\(169\) | 9.27820 | + | 9.10577i | 0.713708 | + | 0.700444i | ||||
\(170\) | 15.0394 | − | 26.0491i | 1.15347 | − | 1.99787i | ||||
\(171\) | −0.681492 | − | 0.681492i | −0.0521150 | − | 0.0521150i | ||||
\(172\) | 28.0227 | 2.13671 | ||||||||
\(173\) | −18.3415 | −1.39448 | −0.697241 | − | 0.716837i | \(-0.745589\pi\) | ||||
−0.697241 | + | 0.716837i | \(0.745589\pi\) | |||||||
\(174\) | 15.4714 | + | 15.4714i | 1.17289 | + | 1.17289i | ||||
\(175\) | −0.363288 | − | 3.04875i | −0.0274620 | − | 0.230464i | ||||
\(176\) | 1.97840 | − | 7.38349i | 0.149127 | − | 0.556551i | ||||
\(177\) | 4.58848 | − | 1.22948i | 0.344891 | − | 0.0924134i | ||||
\(178\) | −7.44374 | − | 4.29764i | −0.557932 | − | 0.322122i | ||||
\(179\) | − | 1.90952i | − | 0.142724i | −0.997450 | − | 0.0713620i | \(-0.977265\pi\) | ||
0.997450 | − | 0.0713620i | \(-0.0227345\pi\) | |||||||
\(180\) | −4.53608 | − | 1.21544i | −0.338099 | − | 0.0905934i | ||||
\(181\) | 18.9344 | 1.40738 | 0.703691 | − | 0.710506i | \(-0.251534\pi\) | ||||
0.703691 | + | 0.710506i | \(0.251534\pi\) | |||||||
\(182\) | 17.3981 | − | 9.86904i | 1.28963 | − | 0.731542i | ||||
\(183\) | −9.45408 | −0.698866 | ||||||||
\(184\) | −5.33234 | − | 1.42879i | −0.393105 | − | 0.105332i | ||||
\(185\) | 2.69929i | 0.198456i | ||||||||
\(186\) | 5.49061 | + | 3.17000i | 0.402591 | + | 0.232436i | ||||
\(187\) | 17.7255 | − | 4.74955i | 1.29622 | − | 0.347321i | ||||
\(188\) | 2.32914 | − | 8.69248i | 0.169870 | − | 0.633965i | ||||
\(189\) | −2.43172 | − | 1.04247i | −0.176881 | − | 0.0758286i | ||||
\(190\) | 2.80000 | + | 2.80000i | 0.203134 | + | 0.203134i | ||||
\(191\) | 10.7890 | 0.780663 | 0.390331 | − | 0.920674i | \(-0.372360\pi\) | ||||
0.390331 | + | 0.920674i | \(0.372360\pi\) | |||||||
\(192\) | −10.7959 | −0.779127 | ||||||||
\(193\) | 13.8977 | + | 13.8977i | 1.00038 | + | 1.00038i | 1.00000 | 0.000375974i | \(0.000119676\pi\) | |
0.000375974 | 1.00000i | \(0.499880\pi\) | ||||||||
\(194\) | 10.6926 | − | 18.5201i | 0.767685 | − | 1.32967i | ||||
\(195\) | −0.889307 | + | 7.00878i | −0.0636846 | + | 0.501909i | ||||
\(196\) | −3.94214 | − | 16.3065i | −0.281581 | − | 1.16475i | ||||
\(197\) | −2.96842 | − | 11.0783i | −0.211491 | − | 0.789295i | −0.987372 | − | 0.158417i | \(-0.949361\pi\) |
0.775881 | − | 0.630879i | \(-0.217306\pi\) | |||||||
\(198\) | −2.62798 | − | 4.55179i | −0.186762 | − | 0.323482i | ||||
\(199\) | −2.77736 | + | 4.81053i | −0.196882 | + | 0.341009i | −0.947516 | − | 0.319709i | \(-0.896415\pi\) |
0.750634 | + | 0.660718i | \(0.229748\pi\) | |||||||
\(200\) | −0.932185 | − | 0.249778i | −0.0659155 | − | 0.0176620i | ||||
\(201\) | −4.43646 | − | 4.43646i | −0.312924 | − | 0.312924i | ||||
\(202\) | −7.70779 | − | 2.06530i | −0.542318 | − | 0.145314i | ||||
\(203\) | −16.5361 | − | 22.1080i | −1.16060 | − | 1.55168i | ||||
\(204\) | −8.77265 | − | 15.1947i | −0.614209 | − | 1.06384i | ||||
\(205\) | −1.24736 | + | 0.720162i | −0.0871193 | + | 0.0502983i | ||||
\(206\) | 14.0882 | − | 14.0882i | 0.981573 | − | 0.981573i | ||||
\(207\) | 5.74884 | − | 3.31909i | 0.399572 | − | 0.230693i | ||||
\(208\) | 1.48625 | + | 10.8941i | 0.103053 | + | 0.755372i | ||||
\(209\) | 2.41584i | 0.167107i | ||||||||
\(210\) | 9.99105 | + | 4.28314i | 0.689448 | + | 0.295565i | ||||
\(211\) | −8.06339 | + | 13.9662i | −0.555106 | + | 0.961473i | 0.442789 | + | 0.896626i | \(0.353989\pi\) |
−0.997895 | + | 0.0648467i | \(0.979344\pi\) | |||||||
\(212\) | − | 5.55353i | − | 0.381418i | ||||||
\(213\) | 2.23174 | − | 8.32895i | 0.152916 | − | 0.570690i | ||||
\(214\) | 5.29400 | + | 19.7575i | 0.361890 | + | 1.35059i | ||||
\(215\) | 16.2008 | − | 16.2008i | 1.10489 | − | 1.10489i | ||||
\(216\) | −0.588043 | + | 0.588043i | −0.0400113 | + | 0.0400113i | ||||
\(217\) | −6.28630 | − | 4.94766i | −0.426742 | − | 0.335869i | ||||
\(218\) | −10.8192 | − | 6.24648i | −0.732770 | − | 0.423065i | ||||
\(219\) | 2.01139 | − | 7.50661i | 0.135917 | − | 0.507250i | ||||
\(220\) | 5.88571 | + | 10.1944i | 0.396815 | + | 0.687303i | ||||
\(221\) | −20.8656 | + | 16.1668i | −1.40357 | + | 1.08750i | ||||
\(222\) | 2.50150 | + | 1.44424i | 0.167890 | + | 0.0969313i | ||||
\(223\) | −25.6580 | + | 6.87505i | −1.71819 | + | 0.460387i | −0.977408 | − | 0.211359i | \(-0.932211\pi\) |
−0.740781 | + | 0.671747i | \(0.765544\pi\) | |||||||
\(224\) | 21.0997 | + | 3.04228i | 1.40978 | + | 0.203271i | ||||
\(225\) | 1.00500 | − | 0.580235i | 0.0669998 | − | 0.0386824i | ||||
\(226\) | 6.14179 | + | 22.9215i | 0.408546 | + | 1.52471i | ||||
\(227\) | 1.71699 | − | 0.460067i | 0.113961 | − | 0.0305357i | −0.201388 | − | 0.979512i | \(-0.564545\pi\) |
0.315349 | + | 0.948976i | \(0.397878\pi\) | |||||||
\(228\) | 2.23109 | − | 0.597819i | 0.147757 | − | 0.0395915i | ||||
\(229\) | −2.32685 | − | 8.68390i | −0.153762 | − | 0.573849i | −0.999208 | − | 0.0397875i | \(-0.987332\pi\) |
0.845446 | − | 0.534061i | \(-0.179335\pi\) | |||||||
\(230\) | −23.6199 | + | 13.6370i | −1.55745 | + | 0.899194i | ||||
\(231\) | 2.46239 | + | 6.15788i | 0.162013 | + | 0.405159i | ||||
\(232\) | −8.38214 | + | 2.24599i | −0.550314 | + | 0.147456i | ||||
\(233\) | −0.891738 | − | 0.514845i | −0.0584197 | − | 0.0337286i | 0.470506 | − | 0.882397i | \(-0.344072\pi\) |
−0.528925 | + | 0.848668i | \(0.677405\pi\) | |||||||
\(234\) | 6.01939 | + | 4.57415i | 0.393500 | + | 0.299022i | ||||
\(235\) | −3.67884 | − | 6.37195i | −0.239981 | − | 0.415660i | ||||
\(236\) | −2.94659 | + | 10.9968i | −0.191806 | + | 0.715831i | ||||
\(237\) | 4.01217 | + | 2.31642i | 0.260618 | + | 0.150468i | ||||
\(238\) | 15.0795 | + | 37.7104i | 0.977458 | + | 2.44440i | ||||
\(239\) | −13.2347 | + | 13.2347i | −0.856079 | + | 0.856079i | −0.990874 | − | 0.134795i | \(-0.956962\pi\) |
0.134795 | + | 0.990874i | \(0.456962\pi\) | |||||||
\(240\) | −4.22522 | + | 4.22522i | −0.272737 | + | 0.272737i | ||||
\(241\) | −0.760109 | − | 2.83676i | −0.0489629 | − | 0.182732i | 0.937114 | − | 0.349025i | \(-0.113487\pi\) |
−0.986076 | + | 0.166293i | \(0.946820\pi\) | |||||||
\(242\) | 2.55975 | − | 9.55311i | 0.164547 | − | 0.614097i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 11.3289 | − | 19.6222i | 0.725257 | − | 1.25618i | ||||
\(245\) | −11.7064 | − | 7.14824i | −0.747894 | − | 0.456685i | ||||
\(246\) | 1.54128i | 0.0982682i | ||||||||
\(247\) | −1.34484 | − | 3.20415i | −0.0855703 | − | 0.203875i | ||||
\(248\) | −2.17764 | + | 1.25726i | −0.138280 | + | 0.0798361i | ||||
\(249\) | 10.1090 | − | 10.1090i | 0.640632 | − | 0.640632i | ||||
\(250\) | −21.9201 | + | 12.6556i | −1.38635 | + | 0.800409i | ||||
\(251\) | −0.244838 | − | 0.424072i | −0.0154540 | − | 0.0267672i | 0.858195 | − | 0.513324i | \(-0.171586\pi\) |
−0.873649 | + | 0.486557i | \(0.838253\pi\) | |||||||
\(252\) | 5.07762 | − | 3.79790i | 0.319860 | − | 0.239245i | ||||
\(253\) | −16.0726 | − | 4.30664i | −1.01047 | − | 0.270756i | ||||
\(254\) | 16.7985 | + | 16.7985i | 1.05403 | + | 1.05403i | ||||
\(255\) | −13.8563 | − | 3.71277i | −0.867713 | − | 0.232503i | ||||
\(256\) | −3.95806 | + | 6.85557i | −0.247379 | + | 0.428473i | ||||
\(257\) | 9.35585 | + | 16.2048i | 0.583602 | + | 1.01083i | 0.995048 | + | 0.0993941i | \(0.0316904\pi\) |
−0.411446 | + | 0.911434i | \(0.634976\pi\) | |||||||
\(258\) | −6.34554 | − | 23.6819i | −0.395056 | − | 1.47437i | ||||
\(259\) | −2.86402 | − | 2.25414i | −0.177961 | − | 0.140065i | ||||
\(260\) | −13.4812 | − | 10.2444i | −0.836072 | − | 0.635333i | ||||
\(261\) | 5.21743 | − | 9.03685i | 0.322951 | − | 0.559367i | ||||
\(262\) | −21.2164 | − | 21.2164i | −1.31075 | − | 1.31075i | ||||
\(263\) | −3.44239 | −0.212267 | −0.106133 | − | 0.994352i | \(-0.533847\pi\) | ||||
−0.106133 | + | 0.994352i | \(0.533847\pi\) | |||||||
\(264\) | 2.08457 | 0.128297 | ||||||||
\(265\) | −3.21067 | − | 3.21067i | −0.197230 | − | 0.197230i | ||||
\(266\) | −5.30911 | + | 0.632632i | −0.325523 | + | 0.0387892i | ||||
\(267\) | −1.06096 | + | 3.95954i | −0.0649295 | + | 0.242320i | ||||
\(268\) | 14.5242 | − | 3.89176i | 0.887208 | − | 0.237727i | ||||
\(269\) | −7.83469 | − | 4.52336i | −0.477689 | − | 0.275794i | 0.241764 | − | 0.970335i | \(-0.422274\pi\) |
−0.719453 | + | 0.694541i | \(0.755607\pi\) | |||||||
\(270\) | 4.10864i | 0.250044i | ||||||||
\(271\) | −7.55815 | − | 2.02520i | −0.459125 | − | 0.123022i | 0.0218411 | − | 0.999761i | \(-0.493047\pi\) |
−0.480966 | + | 0.876739i | \(0.659714\pi\) | |||||||
\(272\) | −22.3249 | −1.35364 | ||||||||
\(273\) | −6.69384 | − | 6.79650i | −0.405130 | − | 0.411343i | ||||
\(274\) | 11.9428 | 0.721488 | ||||||||
\(275\) | −2.80977 | − | 0.752875i | −0.169435 | − | 0.0454001i | ||||
\(276\) | 15.9091i | 0.957618i | ||||||||
\(277\) | 1.34157 | + | 0.774557i | 0.0806072 | + | 0.0465386i | 0.539762 | − | 0.841818i | \(-0.318514\pi\) |
−0.459155 | + | 0.888356i | \(0.651848\pi\) | |||||||
\(278\) | −21.9382 | + | 5.87832i | −1.31576 | + | 0.352558i | ||||
\(279\) | 0.782577 | − | 2.92062i | 0.0468516 | − | 0.174853i | ||||
\(280\) | −3.45244 | + | 2.58231i | −0.206323 | + | 0.154323i | ||||
\(281\) | 4.20181 | + | 4.20181i | 0.250659 | + | 0.250659i | 0.821241 | − | 0.570582i | \(-0.193282\pi\) |
−0.570582 | + | 0.821241i | \(0.693282\pi\) | |||||||
\(282\) | −7.87339 | −0.468853 | ||||||||
\(283\) | −4.65614 | −0.276779 | −0.138389 | − | 0.990378i | \(-0.544193\pi\) | ||||
−0.138389 | + | 0.990378i | \(0.544193\pi\) | |||||||
\(284\) | 14.6127 | + | 14.6127i | 0.867102 | + | 0.867102i | ||||
\(285\) | 0.944245 | − | 1.63548i | 0.0559322 | − | 0.0968775i | ||||
\(286\) | −2.56163 | − | 18.7767i | −0.151473 | − | 1.11029i | ||||
\(287\) | 0.277540 | − | 1.92487i | 0.0163826 | − | 0.113622i | ||||
\(288\) | 2.08541 | + | 7.78286i | 0.122884 | + | 0.458609i | ||||
\(289\) | −18.2976 | − | 31.6925i | −1.07633 | − | 1.86426i | ||||
\(290\) | −21.4365 | + | 37.1292i | −1.25880 | + | 2.18030i | ||||
\(291\) | −9.85141 | − | 2.63968i | −0.577500 | − | 0.154741i | ||||
\(292\) | 13.1699 | + | 13.1699i | 0.770711 | + | 0.770711i | ||||
\(293\) | −10.8009 | − | 2.89410i | −0.630997 | − | 0.169075i | −0.0708751 | − | 0.997485i | \(-0.522579\pi\) |
−0.560122 | + | 0.828410i | \(0.689246\pi\) | |||||||
\(294\) | −12.8879 | + | 7.02397i | −0.751637 | + | 0.409646i | ||||
\(295\) | 4.65408 | + | 8.06111i | 0.270971 | + | 0.469336i | ||||
\(296\) | −0.992125 | + | 0.572804i | −0.0576661 | + | 0.0332935i | ||||
\(297\) | −1.77246 | + | 1.77246i | −0.102849 | + | 0.102849i | ||||
\(298\) | 16.1997 | − | 9.35289i | 0.938422 | − | 0.541798i | ||||
\(299\) | 23.7146 | − | 3.23530i | 1.37145 | − | 0.187102i | ||||
\(300\) | 2.78120i | 0.160573i | ||||||||
\(301\) | 3.66041 | + | 30.7185i | 0.210983 | + | 1.77059i | ||||
\(302\) | 13.4841 | − | 23.3552i | 0.775925 | − | 1.34394i | ||||
\(303\) | 3.80563i | 0.218628i | ||||||||
\(304\) | 0.760671 | − | 2.83886i | 0.0436275 | − | 0.162820i | ||||
\(305\) | −4.79463 | − | 17.8938i | −0.274539 | − | 1.02460i | ||||
\(306\) | −10.8544 | + | 10.8544i | −0.620507 | + | 0.620507i | ||||
\(307\) | −2.63969 | + | 2.63969i | −0.150655 | + | 0.150655i | −0.778411 | − | 0.627756i | \(-0.783974\pi\) |
0.627756 | + | 0.778411i | \(0.283974\pi\) | |||||||
\(308\) | −15.7315 | − | 2.26826i | −0.896387 | − | 0.129246i | ||||
\(309\) | −8.22892 | − | 4.75097i | −0.468127 | − | 0.270273i | ||||
\(310\) | −3.21533 | + | 11.9998i | −0.182618 | + | 0.681540i | ||||
\(311\) | 16.2833 | + | 28.2035i | 0.923341 | + | 1.59927i | 0.794208 | + | 0.607646i | \(0.207886\pi\) |
0.129133 | + | 0.991627i | \(0.458780\pi\) | |||||||
\(312\) | −2.76479 | + | 1.16043i | −0.156525 | + | 0.0656966i | ||||
\(313\) | −12.7123 | − | 7.33945i | −0.718541 | − | 0.414850i | 0.0956743 | − | 0.995413i | \(-0.469499\pi\) |
−0.814216 | + | 0.580563i | \(0.802833\pi\) | |||||||
\(314\) | −9.25067 | + | 2.47871i | −0.522046 | + | 0.139882i | ||||
\(315\) | 0.739848 | − | 5.13121i | 0.0416857 | − | 0.289111i | ||||
\(316\) | −9.61560 | + | 5.55157i | −0.540920 | + | 0.312300i | ||||
\(317\) | −2.65822 | − | 9.92063i | −0.149301 | − | 0.557198i | −0.999526 | − | 0.0307793i | \(-0.990201\pi\) |
0.850225 | − | 0.526419i | \(-0.176466\pi\) | |||||||
\(318\) | −4.69325 | + | 1.25755i | −0.263185 | + | 0.0705201i | ||||
\(319\) | −25.2652 | + | 6.76979i | −1.41458 | + | 0.379036i | ||||
\(320\) | −5.47513 | − | 20.4335i | −0.306069 | − | 1.14226i | ||||
\(321\) | 8.44811 | − | 4.87752i | 0.471527 | − | 0.272236i | ||||
\(322\) | 5.25547 | − | 36.4493i | 0.292876 | − | 2.03124i | ||||
\(323\) | 6.81526 | − | 1.82614i | 0.379211 | − | 0.101609i | ||||
\(324\) | 2.07553 | + | 1.19831i | 0.115307 | + | 0.0665725i | ||||
\(325\) | 4.14573 | − | 0.565587i | 0.229964 | − | 0.0313731i | ||||
\(326\) | −2.68957 | − | 4.65848i | −0.148962 | − | 0.258009i | ||||
\(327\) | −1.54206 | + | 5.75506i | −0.0852763 | + | 0.318256i | ||||
\(328\) | −0.529391 | − | 0.305644i | −0.0292307 | − | 0.0168764i | ||||
\(329\) | 9.83294 | + | 1.41777i | 0.542108 | + | 0.0781642i | ||||
\(330\) | 7.28242 | − | 7.28242i | 0.400884 | − | 0.400884i | ||||
\(331\) | −17.8973 | + | 17.8973i | −0.983723 | + | 0.983723i | −0.999870 | − | 0.0161469i | \(-0.994860\pi\) |
0.0161469 | + | 0.999870i | \(0.494860\pi\) | |||||||
\(332\) | 8.86783 | + | 33.0952i | 0.486685 | + | 1.81633i | ||||
\(333\) | 0.356539 | − | 1.33062i | 0.0195382 | − | 0.0729177i | ||||
\(334\) | − | 15.4249i | − | 0.844011i | ||||||
\(335\) | 6.14696 | − | 10.6469i | 0.335845 | − | 0.581700i | ||||
\(336\) | −0.954645 | − | 8.01148i | −0.0520802 | − | 0.437062i | ||||
\(337\) | − | 0.741618i | − | 0.0403985i | −0.999796 | − | 0.0201993i | \(-0.993570\pi\) | ||
0.999796 | − | 0.0201993i | \(-0.00643006\pi\) | |||||||
\(338\) | 13.8501 | + | 23.4777i | 0.753344 | + | 1.27702i | ||||
\(339\) | 9.80099 | − | 5.65861i | 0.532317 | − | 0.307333i | ||||
\(340\) | 24.3100 | − | 24.3100i | 1.31839 | − | 1.31839i | ||||
\(341\) | −6.56378 | + | 3.78960i | −0.355448 | + | 0.205218i | ||||
\(342\) | −1.01043 | − | 1.75011i | −0.0546376 | − | 0.0946351i | ||||
\(343\) | 17.3603 | − | 6.45138i | 0.937368 | − | 0.348342i | ||||
\(344\) | 9.39250 | + | 2.51671i | 0.506410 | + | 0.135692i | ||||
\(345\) | 9.19757 | + | 9.19757i | 0.495181 | + | 0.495181i | ||||
\(346\) | −37.1483 | − | 9.95385i | −1.99710 | − | 0.535122i | ||||
\(347\) | −17.0886 | + | 29.5983i | −0.917364 | + | 1.58892i | −0.113962 | + | 0.993485i | \(0.536354\pi\) |
−0.803402 | + | 0.595437i | \(0.796979\pi\) | |||||||
\(348\) | 12.5042 | + | 21.6578i | 0.670293 | + | 1.16098i | ||||
\(349\) | −7.26033 | − | 27.0959i | −0.388636 | − | 1.45041i | −0.832354 | − | 0.554244i | \(-0.813007\pi\) |
0.443718 | − | 0.896167i | \(-0.353659\pi\) | |||||||
\(350\) | 0.918749 | − | 6.37198i | 0.0491092 | − | 0.340596i | ||||
\(351\) | 1.36415 | − | 3.33753i | 0.0728129 | − | 0.178144i | ||||
\(352\) | 10.0985 | − | 17.4912i | 0.538253 | − | 0.932282i | ||||
\(353\) | 6.82751 | + | 6.82751i | 0.363391 | + | 0.363391i | 0.865060 | − | 0.501668i | \(-0.167280\pi\) |
−0.501668 | + | 0.865060i | \(0.667280\pi\) | |||||||
\(354\) | 9.96057 | 0.529398 | ||||||||
\(355\) | 16.8961 | 0.896750 | ||||||||
\(356\) | −6.94679 | − | 6.94679i | −0.368179 | − | 0.368179i | ||||
\(357\) | 15.5105 | − | 11.6014i | 0.820903 | − | 0.614009i | ||||
\(358\) | 1.03628 | − | 3.86746i | 0.0547693 | − | 0.204402i | ||||
\(359\) | −33.0271 | + | 8.84959i | −1.74311 | + | 0.467064i | −0.983133 | − | 0.182891i | \(-0.941454\pi\) |
−0.759973 | + | 0.649955i | \(0.774788\pi\) | |||||||
\(360\) | −1.41122 | − | 0.814767i | −0.0743777 | − | 0.0429420i | ||||
\(361\) | − | 18.0711i | − | 0.951113i | ||||||
\(362\) | 38.3490 | + | 10.2756i | 2.01558 | + | 0.540073i | ||||
\(363\) | −4.71674 | −0.247565 | ||||||||
\(364\) | 22.1276 | − | 5.74896i | 1.15980 | − | 0.301327i | ||||
\(365\) | 15.2279 | 0.797063 | ||||||||
\(366\) | −19.1479 | − | 5.13068i | −1.00088 | − | 0.268185i | ||||
\(367\) | 26.7853i | 1.39818i | 0.715033 | + | 0.699090i | \(0.246412\pi\) | ||||
−0.715033 | + | 0.699090i | \(0.753588\pi\) | |||||||
\(368\) | 17.5309 | + | 10.1215i | 0.913863 | + | 0.527619i | ||||
\(369\) | 0.710011 | − | 0.190247i | 0.0369617 | − | 0.00990386i | ||||
\(370\) | −1.46489 | + | 5.46705i | −0.0761561 | + | 0.284218i | ||||
\(371\) | 6.08777 | − | 0.725417i | 0.316062 | − | 0.0376618i | ||||
\(372\) | 5.12405 | + | 5.12405i | 0.265670 | + | 0.265670i | ||||
\(373\) | 3.66467 | 0.189749 | 0.0948747 | − | 0.995489i | \(-0.469755\pi\) | ||||
0.0948747 | + | 0.995489i | \(0.469755\pi\) | |||||||
\(374\) | 38.4782 | 1.98966 | ||||||||
\(375\) | 8.53568 | + | 8.53568i | 0.440780 | + | 0.440780i | ||||
\(376\) | 1.56134 | − | 2.70432i | 0.0805198 | − | 0.139464i | ||||
\(377\) | 29.7409 | − | 23.0434i | 1.53174 | − | 1.18680i | ||||
\(378\) | −4.35937 | − | 3.43106i | −0.224222 | − | 0.176475i | ||||
\(379\) | −6.16351 | − | 23.0025i | −0.316598 | − | 1.18156i | −0.922492 | − | 0.386016i | \(-0.873851\pi\) |
0.605894 | − | 0.795545i | \(-0.292816\pi\) | |||||||
\(380\) | 2.26299 | + | 3.91961i | 0.116089 | + | 0.201072i | ||||
\(381\) | 5.66496 | − | 9.81199i | 0.290224 | − | 0.502684i | ||||
\(382\) | 21.8516 | + | 5.85511i | 1.11802 | + | 0.299574i | ||||
\(383\) | −21.6378 | − | 21.6378i | −1.10564 | − | 1.10564i | −0.993717 | − | 0.111923i | \(-0.964299\pi\) |
−0.111923 | − | 0.993717i | \(-0.535701\pi\) | |||||||
\(384\) | −6.29990 | − | 1.68805i | −0.321490 | − | 0.0861431i | ||||
\(385\) | −10.4062 | + | 7.78354i | −0.530351 | + | 0.396686i | ||||
\(386\) | 20.6056 | + | 35.6900i | 1.04880 | + | 1.81657i | ||||
\(387\) | −10.1261 | + | 5.84633i | −0.514740 | + | 0.297185i | ||||
\(388\) | 17.2837 | − | 17.2837i | 0.877448 | − | 0.877448i | ||||
\(389\) | 1.02102 | − | 0.589484i | 0.0517676 | − | 0.0298880i | −0.473893 | − | 0.880583i | \(-0.657152\pi\) |
0.525660 | + | 0.850694i | \(0.323818\pi\) | |||||||
\(390\) | −5.60479 | + | 13.7127i | −0.283810 | + | 0.694370i | ||||
\(391\) | 48.5974i | 2.45767i | ||||||||
\(392\) | 0.143181 | − | 5.81957i | 0.00723174 | − | 0.293933i | ||||
\(393\) | −7.15480 | + | 12.3925i | −0.360912 | + | 0.625118i | ||||
\(394\) | − | 24.0485i | − | 1.21155i | ||||||
\(395\) | −2.34954 | + | 8.76861i | −0.118218 | + | 0.441197i | ||||
\(396\) | −1.55484 | − | 5.80275i | −0.0781338 | − | 0.291599i | ||||
\(397\) | 8.59230 | − | 8.59230i | 0.431235 | − | 0.431235i | −0.457813 | − | 0.889048i | \(-0.651367\pi\) |
0.889048 | + | 0.457813i | \(0.151367\pi\) | |||||||
\(398\) | −8.23581 | + | 8.23581i | −0.412824 | + | 0.412824i | ||||
\(399\) | 0.946760 | + | 2.36763i | 0.0473973 | + | 0.118530i | ||||
\(400\) | 3.06471 | + | 1.76941i | 0.153236 | + | 0.0884707i | ||||
\(401\) | −0.558206 | + | 2.08325i | −0.0278755 | + | 0.104033i | −0.978462 | − | 0.206427i | \(-0.933816\pi\) |
0.950586 | + | 0.310460i | \(0.100483\pi\) | |||||||
\(402\) | −6.57780 | − | 11.3931i | −0.328071 | − | 0.568235i | ||||
\(403\) | 6.59603 | − | 8.68009i | 0.328571 | − | 0.432386i | ||||
\(404\) | −7.89869 | − | 4.56031i | −0.392975 | − | 0.226884i | ||||
\(405\) | 1.89270 | − | 0.507149i | 0.0940492 | − | 0.0252004i | ||||
\(406\) | −21.4936 | − | 53.7507i | −1.06671 | − | 2.66760i | ||||
\(407\) | −2.99044 | + | 1.72653i | −0.148230 | + | 0.0855809i | ||||
\(408\) | −1.57574 | − | 5.88073i | −0.0780106 | − | 0.291140i | ||||
\(409\) | −4.63911 | + | 1.24305i | −0.229389 | + | 0.0614647i | −0.371683 | − | 0.928360i | \(-0.621219\pi\) |
0.142293 | + | 0.989825i | \(0.454552\pi\) | |||||||
\(410\) | −2.91718 | + | 0.781656i | −0.144069 | + | 0.0386032i | ||||
\(411\) | −1.47415 | − | 5.50160i | −0.0727145 | − | 0.271374i | ||||
\(412\) | 19.7215 | − | 11.3862i | 0.971609 | − | 0.560959i | ||||
\(413\) | −12.4396 | − | 1.79361i | −0.612112 | − | 0.0882579i | ||||
\(414\) | 13.4447 | − | 3.60251i | 0.660773 | − | 0.177053i | ||||
\(415\) | 24.2601 | + | 14.0066i | 1.19088 | + | 0.687556i | ||||
\(416\) | −3.65686 | + | 28.8203i | −0.179292 | + | 1.41303i | ||||
\(417\) | 5.41586 | + | 9.38055i | 0.265216 | + | 0.459368i | ||||
\(418\) | −1.31106 | + | 4.89295i | −0.0641262 | + | 0.239322i | ||||
\(419\) | 18.2738 | + | 10.5504i | 0.892733 | + | 0.515420i | 0.874836 | − | 0.484420i | \(-0.160969\pi\) |
0.0178978 | + | 0.999840i | \(0.494303\pi\) | |||||||
\(420\) | 9.76340 | + | 7.68433i | 0.476405 | + | 0.374957i | ||||
\(421\) | 24.4128 | − | 24.4128i | 1.18981 | − | 1.18981i | 0.212688 | − | 0.977120i | \(-0.431778\pi\) |
0.977120 | − | 0.212688i | \(-0.0682218\pi\) | |||||||
\(422\) | −23.9107 | + | 23.9107i | −1.16395 | + | 1.16395i | ||||
\(423\) | 0.971849 | + | 3.62699i | 0.0472529 | + | 0.176350i | ||||
\(424\) | 0.498760 | − | 1.86140i | 0.0242219 | − | 0.0903975i | ||||
\(425\) | 8.49567i | 0.412100i | ||||||||
\(426\) | 9.04015 | − | 15.6580i | 0.437997 | − | 0.758633i | ||||
\(427\) | 22.9897 | + | 9.85561i | 1.11255 | + | 0.476947i | ||||
\(428\) | 23.3790i | 1.13007i | ||||||||
\(429\) | −8.33356 | + | 3.49775i | −0.402348 | + | 0.168873i | ||||
\(430\) | 41.6046 | − | 24.0204i | 2.00635 | − | 1.15837i | ||||
\(431\) | 5.82798 | − | 5.82798i | 0.280724 | − | 0.280724i | −0.552674 | − | 0.833398i | \(-0.686392\pi\) |
0.833398 | + | 0.552674i | \(0.186392\pi\) | |||||||
\(432\) | 2.64092 | − | 1.52474i | 0.127062 | − | 0.0733590i | ||||
\(433\) | 13.2942 | + | 23.0262i | 0.638878 | + | 1.10657i | 0.985679 | + | 0.168631i | \(0.0539346\pi\) |
−0.346801 | + | 0.937939i | \(0.612732\pi\) | |||||||
\(434\) | −10.0470 | − | 13.4324i | −0.482270 | − | 0.644774i | ||||
\(435\) | 19.7501 | + | 5.29202i | 0.946945 | + | 0.253733i | ||||
\(436\) | −10.0969 | − | 10.0969i | −0.483555 | − | 0.483555i | ||||
\(437\) | −6.17972 | − | 1.65585i | −0.295616 | − | 0.0792101i | ||||
\(438\) | 8.14759 | − | 14.1120i | 0.389307 | − | 0.674300i | ||||
\(439\) | −8.93996 | − | 15.4845i | −0.426681 | − | 0.739033i | 0.569895 | − | 0.821718i | \(-0.306984\pi\) |
−0.996576 | + | 0.0826847i | \(0.973651\pi\) | |||||||
\(440\) | 1.05719 | + | 3.94548i | 0.0503994 | + | 0.188093i | ||||
\(441\) | 4.82651 | + | 5.06999i | 0.229834 | + | 0.241428i | ||||
\(442\) | −51.0341 | + | 21.4199i | −2.42744 | + | 1.01884i | ||||
\(443\) | 10.8928 | − | 18.8669i | 0.517532 | − | 0.896392i | −0.482261 | − | 0.876028i | \(-0.660184\pi\) |
0.999793 | − | 0.0203640i | \(-0.00648252\pi\) | |||||||
\(444\) | 2.33450 | + | 2.33450i | 0.110790 | + | 0.110790i | ||||
\(445\) | −8.03231 | −0.380768 | ||||||||
\(446\) | −55.6979 | −2.63737 | ||||||||
\(447\) | −6.30814 | − | 6.30814i | −0.298365 | − | 0.298365i | ||||
\(448\) | 26.2526 | + | 11.2544i | 1.24032 | + | 0.531721i | ||||
\(449\) | −0.850694 | + | 3.17483i | −0.0401467 | + | 0.149830i | −0.983090 | − | 0.183125i | \(-0.941379\pi\) |
0.942943 | + | 0.332954i | \(0.108045\pi\) | |||||||
\(450\) | 2.35037 | − | 0.629781i | 0.110798 | − | 0.0296882i | ||||
\(451\) | −1.59568 | − | 0.921264i | −0.0751374 | − | 0.0433806i | ||||
\(452\) | 27.1230i | 1.27576i | ||||||||
\(453\) | −12.4233 | − | 3.32882i | −0.583699 | − | 0.156402i | ||||
\(454\) | 3.72721 | 0.174927 | ||||||||
\(455\) | 9.46900 | − | 16.1163i | 0.443913 | − | 0.755544i | ||||
\(456\) | 0.801493 | 0.0375334 | ||||||||
\(457\) | −34.9035 | − | 9.35236i | −1.63272 | − | 0.437485i | −0.678014 | − | 0.735049i | \(-0.737159\pi\) |
−0.954702 | + | 0.297564i | \(0.903826\pi\) | |||||||
\(458\) | − | 18.8508i | − | 0.880841i | ||||||
\(459\) | 6.34007 | + | 3.66044i | 0.295929 | + | 0.170855i | ||||
\(460\) | −30.1113 | + | 8.06830i | −1.40395 | + | 0.376187i | ||||
\(461\) | −3.32485 | + | 12.4085i | −0.154854 | + | 0.577922i | 0.844264 | + | 0.535927i | \(0.180038\pi\) |
−0.999118 | + | 0.0419948i | \(0.986629\pi\) | |||||||
\(462\) | 1.64539 | + | 13.8083i | 0.0765504 | + | 0.642418i | ||||
\(463\) | 22.2200 | + | 22.2200i | 1.03265 | + | 1.03265i | 0.999449 | + | 0.0332014i | \(0.0105703\pi\) |
0.0332014 | + | 0.999449i | \(0.489430\pi\) | |||||||
\(464\) | 31.8209 | 1.47725 | ||||||||
\(465\) | 5.92474 | 0.274753 | ||||||||
\(466\) | −1.52669 | − | 1.52669i | −0.0707225 | − | 0.0707225i | ||||
\(467\) | 17.1486 | − | 29.7023i | 0.793543 | − | 1.37446i | −0.130217 | − | 0.991486i | \(-0.541567\pi\) |
0.923760 | − | 0.382972i | \(-0.125099\pi\) | |||||||
\(468\) | 5.29246 | + | 6.83071i | 0.244644 | + | 0.315750i | ||||
\(469\) | 6.16334 | + | 15.4131i | 0.284597 | + | 0.711711i | ||||
\(470\) | −3.99298 | − | 14.9020i | −0.184182 | − | 0.687378i | ||||
\(471\) | 2.28371 | + | 3.95550i | 0.105228 | + | 0.182260i | ||||
\(472\) | −1.97524 | + | 3.42121i | −0.0909177 | + | 0.157474i | ||||
\(473\) | 28.3106 | + | 7.58581i | 1.30172 | + | 0.348796i | ||||
\(474\) | 6.86898 | + | 6.86898i | 0.315503 | + | 0.315503i | ||||
\(475\) | −1.08032 | − | 0.289472i | −0.0495686 | − | 0.0132819i | ||||
\(476\) | 5.49260 | + | 46.0944i | 0.251753 | + | 2.11273i | ||||
\(477\) | 1.15862 | + | 2.00679i | 0.0530496 | + | 0.0918846i | ||||
\(478\) | −33.9873 | + | 19.6226i | −1.55455 | + | 0.897517i | ||||
\(479\) | 1.69038 | − | 1.69038i | 0.0772354 | − | 0.0772354i | −0.667434 | − | 0.744669i | \(-0.732607\pi\) |
0.744669 | + | 0.667434i | \(0.232607\pi\) | |||||||
\(480\) | −13.6730 | + | 7.89413i | −0.624086 | + | 0.360316i | ||||
\(481\) | 3.00513 | − | 3.95462i | 0.137022 | − | 0.180315i | ||||
\(482\) | − | 6.15798i | − | 0.280489i | ||||||
\(483\) | −17.4396 | + | 2.07810i | −0.793530 | + | 0.0945568i | ||||
\(484\) | 5.65210 | − | 9.78972i | 0.256913 | − | 0.444987i | ||||
\(485\) | − | 19.9845i | − | 0.907450i | ||||||
\(486\) | 0.542694 | − | 2.02536i | 0.0246171 | − | 0.0918723i | ||||
\(487\) | −2.17213 | − | 8.10651i | −0.0984288 | − | 0.367341i | 0.899088 | − | 0.437768i | \(-0.144231\pi\) |
−0.997517 | + | 0.0704263i | \(0.977564\pi\) | |||||||
\(488\) | 5.55941 | − | 5.55941i | 0.251663 | − | 0.251663i | ||||
\(489\) | −1.81401 | + | 1.81401i | −0.0820323 | + | 0.0820323i | ||||
\(490\) | −19.8304 | − | 20.8308i | −0.895845 | − | 0.941039i | ||||
\(491\) | −5.46870 | − | 3.15735i | −0.246799 | − | 0.142489i | 0.371499 | − | 0.928433i | \(-0.378844\pi\) |
−0.618298 | + | 0.785944i | \(0.712177\pi\) | |||||||
\(492\) | −0.455948 | + | 1.70162i | −0.0205557 | + | 0.0767150i | ||||
\(493\) | 38.1962 | + | 66.1577i | 1.72027 | + | 2.97959i | ||||
\(494\) | −0.984917 | − | 7.21941i | −0.0443135 | − | 0.324817i | ||||
\(495\) | −4.25365 | − | 2.45585i | −0.191188 | − | 0.110382i | ||||
\(496\) | 8.90635 | − | 2.38645i | 0.399907 | − | 0.107155i | ||||
\(497\) | −14.1096 | + | 17.9271i | −0.632904 | + | 0.804142i | ||||
\(498\) | 25.9605 | − | 14.9883i | 1.16332 | − | 0.671642i | ||||
\(499\) | −9.09774 | − | 33.9532i | −0.407271 | − | 1.51996i | −0.799829 | − | 0.600228i | \(-0.795077\pi\) |
0.392558 | − | 0.919727i | \(-0.371590\pi\) | |||||||
\(500\) | −27.9444 | + | 7.48767i | −1.24971 | + | 0.334859i | ||||
\(501\) | −7.10569 | + | 1.90396i | −0.317459 | + | 0.0850628i | ||||
\(502\) | −0.265744 | − | 0.991772i | −0.0118608 | − | 0.0442649i | ||||
\(503\) | 8.32980 | − | 4.80921i | 0.371408 | − | 0.214432i | −0.302666 | − | 0.953097i | \(-0.597877\pi\) |
0.674073 | + | 0.738665i | \(0.264543\pi\) | |||||||
\(504\) | 2.04297 | − | 0.816937i | 0.0910013 | − | 0.0363893i | ||||
\(505\) | −7.20294 | + | 1.93002i | −0.320527 | + | 0.0858849i | ||||
\(506\) | −30.2156 | − | 17.4450i | −1.34325 | − | 0.775525i | ||||
\(507\) | 9.10577 | − | 9.27820i | 0.404401 | − | 0.412059i | ||||
\(508\) | 13.5767 | + | 23.5155i | 0.602369 | + | 1.04333i | ||||
\(509\) | 3.33616 | − | 12.4507i | 0.147873 | − | 0.551868i | −0.851738 | − | 0.523968i | \(-0.824451\pi\) |
0.999611 | − | 0.0279003i | \(-0.00888209\pi\) | |||||||
\(510\) | −26.0491 | − | 15.0394i | −1.15347 | − | 0.665957i | ||||
\(511\) | −12.7166 | + | 16.1571i | −0.562548 | + | 0.714750i | ||||
\(512\) | −20.9607 | + | 20.9607i | −0.926340 | + | 0.926340i | ||||
\(513\) | −0.681492 | + | 0.681492i | −0.0300886 | + | 0.0300886i | ||||
\(514\) | 10.1547 | + | 37.8980i | 0.447906 | + | 1.67161i | ||||
\(515\) | 4.81889 | − | 17.9844i | 0.212346 | − | 0.792485i | ||||
\(516\) | − | 28.0227i | − | 1.23363i | ||||||
\(517\) | 4.70614 | − | 8.15128i | 0.206976 | − | 0.358493i | ||||
\(518\) | −4.57737 | − | 6.11974i | −0.201118 | − | 0.268886i | ||||
\(519\) | 18.3415i | 0.805104i | ||||||||
\(520\) | −3.59852 | − | 4.64442i | −0.157805 | − | 0.203671i | ||||
\(521\) | −9.09809 | + | 5.25278i | −0.398594 | + | 0.230129i | −0.685877 | − | 0.727717i | \(-0.740581\pi\) |
0.287283 | + | 0.957846i | \(0.407248\pi\) | |||||||
\(522\) | 15.4714 | − | 15.4714i | 0.677166 | − | 0.677166i | ||||
\(523\) | −0.494684 | + | 0.285606i | −0.0216310 | + | 0.0124887i | −0.510777 | − | 0.859714i | \(-0.670642\pi\) |
0.489146 | + | 0.872202i | \(0.337309\pi\) | |||||||
\(524\) | −17.1473 | − | 29.6999i | −0.749082 | − | 1.29745i | ||||
\(525\) | −3.04875 | + | 0.363288i | −0.133058 | + | 0.0158552i | ||||
\(526\) | −6.97208 | − | 1.86816i | −0.303997 | − | 0.0814558i | ||||
\(527\) | 15.6523 | + | 15.6523i | 0.681826 | + | 0.681826i | ||||
\(528\) | −7.38349 | − | 1.97840i | −0.321325 | − | 0.0860988i | ||||
\(529\) | 10.5327 | − | 18.2433i | 0.457946 | − | 0.793185i | ||||
\(530\) | −4.76035 | − | 8.24517i | −0.206777 | − | 0.358147i | ||||
\(531\) | −1.22948 | − | 4.58848i | −0.0533549 | − | 0.199123i | ||||
\(532\) | −6.04859 | − | 0.872121i | −0.262240 | − | 0.0378112i | ||||
\(533\) | 2.62921 | + | 0.333606i | 0.113884 | + | 0.0144501i | ||||
\(534\) | −4.29764 | + | 7.44374i | −0.185977 | + | 0.322122i | ||||
\(535\) | 13.5161 | + | 13.5161i | 0.584354 | + | 0.584354i | ||||
\(536\) | 5.21766 | 0.225369 | ||||||||
\(537\) | −1.90952 | −0.0824017 | ||||||||
\(538\) | −13.4133 | − | 13.4133i | −0.578288 | − | 0.578288i | ||||
\(539\) | 0.431573 | − | 17.5412i | 0.0185892 | − | 0.755553i | ||||
\(540\) | −1.21544 | + | 4.53608i | −0.0523041 | + | 0.195202i | ||||
\(541\) | 11.9041 | − | 3.18970i | 0.511798 | − | 0.137136i | 0.00632795 | − | 0.999980i | \(-0.497986\pi\) |
0.505470 | + | 0.862844i | \(0.331319\pi\) | |||||||
\(542\) | −14.2089 | − | 8.20352i | −0.610325 | − | 0.352372i | ||||
\(543\) | − | 18.9344i | − | 0.812552i | ||||||
\(544\) | −56.9774 | − | 15.2670i | −2.44289 | − | 0.654569i | ||||
\(545\) | −11.6747 | −0.500089 | ||||||||
\(546\) | −9.86904 | − | 17.3981i | −0.422356 | − | 0.744570i | ||||
\(547\) | −16.2110 | −0.693132 | −0.346566 | − | 0.938026i | \(-0.612652\pi\) | ||||
−0.346566 | + | 0.938026i | \(0.612652\pi\) | |||||||
\(548\) | 13.1852 | + | 3.53296i | 0.563244 | + | 0.150921i | ||||
\(549\) | 9.45408i | 0.403490i | ||||||||
\(550\) | −5.28222 | − | 3.04969i | −0.225235 | − | 0.130039i | ||||
\(551\) | −9.71418 | + | 2.60291i | −0.413838 | + | 0.110887i | ||||
\(552\) | −1.42879 | + | 5.33234i | −0.0608135 | + | 0.226959i | ||||
\(553\) | −7.34165 | − | 9.81546i | −0.312199 | − | 0.417396i | ||||
\(554\) | 2.29682 | + | 2.29682i | 0.0975826 | + | 0.0975826i | ||||
\(555\) | 2.69929 | 0.114579 | ||||||||
\(556\) | −25.9594 | −1.10093 | ||||||||
\(557\) | 23.6805 | + | 23.6805i | 1.00337 | + | 1.00337i | 0.999994 | + | 0.00338004i | \(0.00107590\pi\) |
0.00338004 | + | 0.999994i | \(0.498924\pi\) | |||||||
\(558\) | 3.17000 | − | 5.49061i | 0.134197 | − | 0.232436i | ||||
\(559\) | −41.7715 | + | 5.69873i | −1.76675 | + | 0.241031i | ||||
\(560\) | 14.6792 | − | 5.86987i | 0.620310 | − | 0.248047i | ||||
\(561\) | −4.74955 | − | 17.7255i | −0.200526 | − | 0.748373i | ||||
\(562\) | 6.22989 | + | 10.7905i | 0.262792 | + | 0.455170i | ||||
\(563\) | −0.0785071 | + | 0.135978i | −0.00330868 | + | 0.00573080i | −0.867675 | − | 0.497132i | \(-0.834387\pi\) |
0.864366 | + | 0.502863i | \(0.167720\pi\) | |||||||
\(564\) | −8.69248 | − | 2.32914i | −0.366020 | − | 0.0980747i | ||||
\(565\) | 15.6806 | + | 15.6806i | 0.659689 | + | 0.659689i | ||||
\(566\) | −9.43036 | − | 2.52686i | −0.396388 | − | 0.106212i | ||||
\(567\) | −1.04247 | + | 2.43172i | −0.0437797 | + | 0.102123i | ||||
\(568\) | 3.58543 | + | 6.21014i | 0.150441 | + | 0.260572i | ||||
\(569\) | −36.5944 | + | 21.1278i | −1.53412 | + | 0.885724i | −0.534953 | + | 0.844882i | \(0.679671\pi\) |
−0.999166 | + | 0.0408418i | \(0.986996\pi\) | |||||||
\(570\) | 2.80000 | − | 2.80000i | 0.117279 | − | 0.117279i | ||||
\(571\) | −28.4747 | + | 16.4399i | −1.19163 | + | 0.687987i | −0.958676 | − | 0.284502i | \(-0.908172\pi\) |
−0.232952 | + | 0.972488i | \(0.574839\pi\) | |||||||
\(572\) | 2.72648 | − | 21.4879i | 0.114000 | − | 0.898454i | ||||
\(573\) | − | 10.7890i | − | 0.450716i | ||||||
\(574\) | 1.60674 | − | 3.74795i | 0.0670639 | − | 0.156436i | ||||
\(575\) | 3.85171 | − | 6.67136i | 0.160627 | − | 0.278215i | ||||
\(576\) | 10.7959i | 0.449829i | ||||||||
\(577\) | 11.1497 | − | 41.6112i | 0.464167 | − | 1.73230i | −0.195467 | − | 0.980710i | \(-0.562622\pi\) |
0.659635 | − | 0.751586i | \(-0.270711\pi\) | |||||||
\(578\) | −19.8601 | − | 74.1187i | −0.826070 | − | 3.08293i | ||||
\(579\) | 13.8977 | − | 13.8977i | 0.577567 | − | 0.577567i | ||||
\(580\) | −34.6504 | + | 34.6504i | −1.43878 | + | 1.43878i | ||||
\(581\) | −35.1206 | + | 14.0439i | −1.45705 | + | 0.582639i | ||||
\(582\) | −18.5201 | − | 10.6926i | −0.767685 | − | 0.443223i | ||||
\(583\) | 1.50335 | − | 5.61058i | 0.0622624 | − | 0.232366i | ||||
\(584\) | 3.23143 | + | 5.59700i | 0.133717 | + | 0.231605i | ||||
\(585\) | 7.00878 | + | 0.889307i | 0.289777 | + | 0.0367683i | ||||
\(586\) | −20.3052 | − | 11.7232i | −0.838800 | − | 0.484281i | ||||
\(587\) | 15.3441 | − | 4.11144i | 0.633318 | − | 0.169697i | 0.0721432 | − | 0.997394i | \(-0.477016\pi\) |
0.561175 | + | 0.827697i | \(0.310349\pi\) | |||||||
\(588\) | −16.3065 | + | 3.94214i | −0.672470 | + | 0.162571i | ||||
\(589\) | −2.52369 | + | 1.45706i | −0.103987 | + | 0.0600369i | ||||
\(590\) | 5.05149 | + | 18.8524i | 0.207967 | + | 0.776142i | ||||
\(591\) | −11.0783 | + | 2.96842i | −0.455700 | + | 0.122104i | ||||
\(592\) | 4.05770 | − | 1.08726i | 0.166771 | − | 0.0446861i | ||||
\(593\) | 5.02665 | + | 18.7597i | 0.206420 | + | 0.770369i | 0.989012 | + | 0.147834i | \(0.0472302\pi\) |
−0.782592 | + | 0.622534i | \(0.786103\pi\) | |||||||
\(594\) | −4.55179 | + | 2.62798i | −0.186762 | + | 0.107827i | ||||
\(595\) | 29.8241 | + | 23.4732i | 1.22267 | + | 0.962307i | ||||
\(596\) | 20.6518 | − | 5.53363i | 0.845931 | − | 0.226666i | ||||
\(597\) | 4.81053 | + | 2.77736i | 0.196882 | + | 0.113670i | ||||
\(598\) | 49.7865 | + | 6.31715i | 2.03592 | + | 0.258327i | ||||
\(599\) | 22.3885 | + | 38.7780i | 0.914770 | + | 1.58443i | 0.807238 | + | 0.590226i | \(0.200961\pi\) |
0.107531 | + | 0.994202i | \(0.465705\pi\) | |||||||
\(600\) | −0.249778 | + | 0.932185i | −0.0101972 | + | 0.0380563i | ||||
\(601\) | 33.7722 | + | 19.4984i | 1.37760 | + | 0.795355i | 0.991870 | − | 0.127258i | \(-0.0406176\pi\) |
0.385726 | + | 0.922613i | \(0.373951\pi\) | |||||||
\(602\) | −9.25711 | + | 64.2027i | −0.377292 | + | 2.61671i | ||||
\(603\) | −4.43646 | + | 4.43646i | −0.180667 | + | 0.180667i | ||||
\(604\) | 21.7960 | − | 21.7960i | 0.886867 | − | 0.886867i | ||||
\(605\) | −2.39209 | − | 8.92739i | −0.0972522 | − | 0.362950i | ||||
\(606\) | −2.06530 | + | 7.70779i | −0.0838969 | + | 0.313108i | ||||
\(607\) | 31.9789i | 1.29798i | 0.760795 | + | 0.648992i | \(0.224809\pi\) | ||||
−0.760795 | + | 0.648992i | \(0.775191\pi\) | |||||||
\(608\) | 3.88276 | − | 6.72514i | 0.157467 | − | 0.272741i | ||||
\(609\) | −22.1080 | + | 16.5361i | −0.895861 | + | 0.670075i | ||||
\(610\) | − | 38.8434i | − | 1.57272i | ||||||
\(611\) | −1.70418 | + | 13.4309i | −0.0689437 | + | 0.543357i | ||||
\(612\) | −15.1947 | + | 8.77265i | −0.614209 | + | 0.354613i | ||||
\(613\) | 15.6835 | − | 15.6835i | 0.633452 | − | 0.633452i | −0.315480 | − | 0.948932i | \(-0.602166\pi\) |
0.948932 | + | 0.315480i | \(0.102166\pi\) | |||||||
\(614\) | −6.77887 | + | 3.91378i | −0.273573 | + | 0.157947i | ||||
\(615\) | 0.720162 | + | 1.24736i | 0.0290398 | + | 0.0502983i | ||||
\(616\) | −5.06909 | − | 2.17311i | −0.204239 | − | 0.0875570i | ||||
\(617\) | 19.7363 | + | 5.28833i | 0.794554 | + | 0.212900i | 0.633192 | − | 0.773995i | \(-0.281744\pi\) |
0.161363 | + | 0.986895i | \(0.448411\pi\) | |||||||
\(618\) | −14.0882 | − | 14.0882i | −0.566711 | − | 0.566711i | ||||
\(619\) | −27.8712 | − | 7.46806i | −1.12024 | − | 0.300167i | −0.349258 | − | 0.937027i | \(-0.613566\pi\) |
−0.770980 | + | 0.636860i | \(0.780233\pi\) | |||||||
\(620\) | −7.09966 | + | 12.2970i | −0.285129 | + | 0.493858i | ||||
\(621\) | −3.31909 | − | 5.74884i | −0.133191 | − | 0.230693i | ||||
\(622\) | 17.6737 | + | 65.9592i | 0.708651 | + | 2.64472i | ||||
\(623\) | 6.70766 | − | 8.52248i | 0.268737 | − | 0.341446i | ||||
\(624\) | 10.8941 | − | 1.48625i | 0.436114 | − | 0.0594974i | ||||
\(625\) | −8.92548 | + | 15.4594i | −0.357019 | + | 0.618375i | ||||
\(626\) | −21.7639 | − | 21.7639i | −0.869862 | − | 0.869862i | ||||
\(627\) | 2.41584 | 0.0964793 | ||||||||
\(628\) | −10.9463 | −0.436806 | ||||||||
\(629\) | 7.13115 | + | 7.13115i | 0.284338 | + | 0.284338i | ||||
\(630\) | 4.28314 | − | 9.99105i | 0.170644 | − | 0.398053i | ||||
\(631\) | −0.897330 | + | 3.34888i | −0.0357221 | + | 0.133317i | −0.981484 | − | 0.191544i | \(-0.938651\pi\) |
0.945762 | + | 0.324860i | \(0.105317\pi\) | |||||||
\(632\) | −3.72148 | + | 0.997169i | −0.148033 | + | 0.0396652i | ||||
\(633\) | 13.9662 | + | 8.06339i | 0.555106 | + | 0.320491i | ||||
\(634\) | − | 21.5355i | − | 0.855283i | ||||||
\(635\) | 21.4442 | + | 5.74595i | 0.850986 | + | 0.228021i | ||||
\(636\) | −5.55353 | −0.220212 | ||||||||
\(637\) | 9.19238 | + | 23.5053i | 0.364215 | + | 0.931315i | ||||
\(638\) | −54.8451 | −2.17134 | ||||||||
\(639\) | −8.32895 | − | 2.23174i | −0.329488 | − | 0.0882861i | ||||
\(640\) | − | 12.7799i | − | 0.505172i | ||||||
\(641\) | 5.79715 | + | 3.34699i | 0.228974 | + | 0.132198i | 0.610098 | − | 0.792326i | \(-0.291130\pi\) |
−0.381125 | + | 0.924524i | \(0.624463\pi\) | |||||||
\(642\) | 19.7575 | − | 5.29400i | 0.779766 | − | 0.208938i | ||||
\(643\) | 11.3176 | − | 42.2380i | 0.446324 | − | 1.66570i | −0.266092 | − | 0.963948i | \(-0.585732\pi\) |
0.712416 | − | 0.701757i | \(-0.247601\pi\) | |||||||
\(644\) | 16.5848 | − | 38.6866i | 0.653534 | − | 1.52446i | ||||
\(645\) | −16.2008 | − | 16.2008i | −0.637907 | − | 0.637907i | ||||
\(646\) | 14.7944 | 0.582079 | ||||||||
\(647\) | 2.42484 | 0.0953303 | 0.0476652 | − | 0.998863i | \(-0.484822\pi\) | ||||
0.0476652 | + | 0.998863i | \(0.484822\pi\) | |||||||
\(648\) | 0.588043 | + | 0.588043i | 0.0231005 | + | 0.0231005i | ||||
\(649\) | −5.95371 | + | 10.3121i | −0.233704 | + | 0.404787i | ||||
\(650\) | 8.70356 | + | 1.10435i | 0.341382 | + | 0.0433161i | ||||
\(651\) | −4.94766 | + | 6.28630i | −0.193914 | + | 0.246380i | ||||
\(652\) | −1.59129 | − | 5.93876i | −0.0623196 | − | 0.232580i | ||||
\(653\) | −9.48737 | − | 16.4326i | −0.371269 | − | 0.643058i | 0.618492 | − | 0.785791i | \(-0.287744\pi\) |
−0.989761 | + | 0.142734i | \(0.954411\pi\) | |||||||
\(654\) | −6.24648 | + | 10.8192i | −0.244257 | + | 0.423065i | ||||
\(655\) | −27.0838 | − | 7.25709i | −1.05825 | − | 0.283558i | ||||
\(656\) | 1.58501 | + | 1.58501i | 0.0618842 | + | 0.0618842i | ||||
\(657\) | −7.50661 | − | 2.01139i | −0.292861 | − | 0.0784718i | ||||
\(658\) | 19.1459 | + | 8.20778i | 0.746383 | + | 0.319973i | ||||
\(659\) | −1.16446 | − | 2.01691i | −0.0453610 | − | 0.0785676i | 0.842453 | − | 0.538769i | \(-0.181110\pi\) |
−0.887814 | + | 0.460202i | \(0.847777\pi\) | |||||||
\(660\) | 10.1944 | − | 5.88571i | 0.396815 | − | 0.229101i | ||||
\(661\) | −18.1901 | + | 18.1901i | −0.707514 | + | 0.707514i | −0.966012 | − | 0.258498i | \(-0.916773\pi\) |
0.258498 | + | 0.966012i | \(0.416773\pi\) | |||||||
\(662\) | −45.9612 | + | 26.5357i | −1.78633 | + | 1.03134i | ||||
\(663\) | 16.1668 | + | 20.8656i | 0.627866 | + | 0.810354i | ||||
\(664\) | 11.8891i | 0.461385i | ||||||||
\(665\) | −4.00108 | + | 2.99268i | −0.155155 | + | 0.116051i | ||||
\(666\) | 1.44424 | − | 2.50150i | 0.0559633 | − | 0.0969313i | ||||
\(667\) | − | 69.2685i | − | 2.68209i | ||||||
\(668\) | 4.56306 | − | 17.0296i | 0.176550 | − | 0.658894i | ||||
\(669\) | 6.87505 | + | 25.6580i | 0.265805 | + | 0.991997i | ||||
\(670\) | 18.2278 | − | 18.2278i | 0.704202 | − | 0.704202i | ||||
\(671\) | 16.7570 | − | 16.7570i | 0.646898 | − | 0.646898i | ||||
\(672\) | 3.04228 | − | 21.0997i | 0.117358 | − | 0.813939i | ||||
\(673\) | −24.9952 | − | 14.4310i | −0.963493 | − | 0.556273i | −0.0662467 | − | 0.997803i | \(-0.521102\pi\) |
−0.897246 | + | 0.441530i | \(0.854436\pi\) | |||||||
\(674\) | 0.402472 | − | 1.50205i | 0.0155026 | − | 0.0578566i | ||||
\(675\) | −0.580235 | − | 1.00500i | −0.0223333 | − | 0.0386824i | ||||
\(676\) | 8.34565 | + | 30.0174i | 0.320987 | + | 1.15451i | ||||
\(677\) | 13.4814 | + | 7.78352i | 0.518134 | + | 0.299145i | 0.736171 | − | 0.676796i | \(-0.236632\pi\) |
−0.218037 | + | 0.975941i | \(0.569965\pi\) | |||||||
\(678\) | 22.9215 | − | 6.14179i | 0.880293 | − | 0.235874i | ||||
\(679\) | 21.2041 | + | 16.6888i | 0.813737 | + | 0.640456i | ||||
\(680\) | 10.3314 | − | 5.96481i | 0.396189 | − | 0.228740i | ||||
\(681\) | −0.460067 | − | 1.71699i | −0.0176298 | − | 0.0657954i | ||||
\(682\) | −15.3506 | + | 4.11319i | −0.587806 | + | 0.157502i | ||||
\(683\) | 40.6350 | − | 10.8881i | 1.55486 | − | 0.416622i | 0.623825 | − | 0.781564i | \(-0.285578\pi\) |
0.931031 | + | 0.364941i | \(0.118911\pi\) | |||||||
\(684\) | −0.597819 | − | 2.23109i | −0.0228582 | − | 0.0853078i | ||||
\(685\) | 9.66529 | − | 5.58026i | 0.369292 | − | 0.213211i | ||||
\(686\) | 38.6620 | − | 3.64505i | 1.47612 | − | 0.139169i | ||||
\(687\) | −8.68390 | + | 2.32685i | −0.331312 | + | 0.0887747i | ||||
\(688\) | −30.8794 | − | 17.8282i | −1.17727 | − | 0.679695i | ||||
\(689\) | 1.12937 | + | 8.27825i | 0.0430256 | + | 0.315376i | ||||
\(690\) | 13.6370 | + | 23.6199i | 0.519150 | + | 0.899194i | ||||
\(691\) | −5.66969 | + | 21.1596i | −0.215685 | + | 0.804948i | 0.770239 | + | 0.637755i | \(0.220137\pi\) |
−0.985924 | + | 0.167193i | \(0.946530\pi\) | |||||||
\(692\) | −38.0684 | − | 21.9788i | −1.44714 | − | 0.835508i | ||||
\(693\) | 6.15788 | − | 2.46239i | 0.233918 | − | 0.0935385i | ||||
\(694\) | −50.6735 | + | 50.6735i | −1.92354 | + | 1.92354i | ||||
\(695\) | −15.0080 | + | 15.0080i | −0.569284 | + | 0.569284i | ||||
\(696\) | 2.24599 | + | 8.38214i | 0.0851339 | + | 0.317724i | ||||
\(697\) | −1.39278 | + | 5.19791i | −0.0527551 | + | 0.196885i | ||||
\(698\) | − | 58.8192i | − | 2.22634i | ||||||
\(699\) | −0.514845 | + | 0.891738i | −0.0194732 | + | 0.0337286i | ||||
\(700\) | 2.89932 | − | 6.76309i | 0.109584 | − | 0.255621i | ||||
\(701\) | − | 15.8478i | − | 0.598564i | −0.954165 | − | 0.299282i | \(-0.903253\pi\) | ||
0.954165 | − | 0.299282i | \(-0.0967471\pi\) | |||||||
\(702\) | 4.57415 | − | 6.01939i | 0.172640 | − | 0.227187i | ||||
\(703\) | −1.14979 | + | 0.663830i | −0.0433650 | + | 0.0250368i | ||||
\(704\) | 19.1354 | − | 19.1354i | 0.721191 | − | 0.721191i | ||||
\(705\) | −6.37195 | + | 3.67884i | −0.239981 | + | 0.138553i | ||||
\(706\) | 10.1229 | + | 17.5334i | 0.380981 | + | 0.659879i | ||||
\(707\) | 3.96727 | − | 9.25423i | 0.149204 | − | 0.348041i | ||||
\(708\) | 10.9968 | + | 2.94659i | 0.413285 | + | 0.110739i | ||||
\(709\) | 34.1644 | + | 34.1644i | 1.28307 | + | 1.28307i | 0.938911 | + | 0.344160i | \(0.111836\pi\) |
0.344160 | + | 0.938911i | \(0.388164\pi\) | |||||||
\(710\) | 34.2207 | + | 9.16940i | 1.28428 | + | 0.344121i | ||||
\(711\) | 2.31642 | − | 4.01217i | 0.0868727 | − | 0.150468i | ||||
\(712\) | −1.70449 | − | 2.95227i | −0.0638786 | − | 0.110641i | ||||
\(713\) | −5.19489 | − | 19.3876i | −0.194550 | − | 0.726071i | ||||
\(714\) | 37.7104 | − | 15.0795i | 1.41128 | − | 0.564336i | ||||
\(715\) | −10.8466 | − | 13.9991i | −0.405638 | − | 0.523536i | ||||
\(716\) | 2.28818 | − | 3.96325i | 0.0855134 | − | 0.148114i | ||||
\(717\) | 13.2347 | + | 13.2347i | 0.494257 | + | 0.494257i | ||||
\(718\) | −71.6946 | −2.67562 | ||||||||
\(719\) | 10.6433 | 0.396927 | 0.198463 | − | 0.980108i | \(-0.436405\pi\) | ||||
0.198463 | + | 0.980108i | \(0.436405\pi\) | |||||||
\(720\) | 4.22522 | + | 4.22522i | 0.157465 | + | 0.157465i | ||||
\(721\) | 15.0577 | + | 20.1314i | 0.560776 | + | 0.749733i | ||||
\(722\) | 9.80710 | − | 36.6006i | 0.364983 | − | 1.36213i | ||||
\(723\) | −2.83676 | + | 0.760109i | −0.105500 | + | 0.0282688i | ||||
\(724\) | 39.2988 | + | 22.6892i | 1.46053 | + | 0.843237i | ||||
\(725\) | − | 12.1093i | − | 0.449730i | ||||||
\(726\) | −9.55311 | − | 2.55975i | −0.354549 | − | 0.0950012i | ||||
\(727\) | −5.89296 | −0.218558 | −0.109279 | − | 0.994011i | \(-0.534854\pi\) | ||||
−0.109279 | + | 0.994011i | \(0.534854\pi\) | |||||||
\(728\) | 7.93291 | + | 0.0603683i | 0.294013 | + | 0.00223740i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 30.8420 | + | 8.26408i | 1.14151 | + | 0.305867i | ||||
\(731\) | − | 85.6005i | − | 3.16605i | ||||||
\(732\) | −19.6222 | − | 11.3289i | −0.725257 | − | 0.418728i | ||||
\(733\) | 37.0791 | − | 9.93532i | 1.36955 | − | 0.366970i | 0.502235 | − | 0.864731i | \(-0.332511\pi\) |
0.867314 | + | 0.497762i | \(0.165845\pi\) | |||||||
\(734\) | −14.5362 | + | 54.2499i | −0.536542 | + | 2.00240i | ||||
\(735\) | −7.14824 | + | 11.7064i | −0.263667 | + | 0.431797i | ||||
\(736\) | 37.8207 | + | 37.8207i | 1.39409 | + | 1.39409i | ||||
\(737\) | 15.7269 | 0.579309 | ||||||||
\(738\) | 1.54128 | 0.0567352 | ||||||||
\(739\) | −14.6029 | − | 14.6029i | −0.537176 | − | 0.537176i | 0.385522 | − | 0.922699i | \(-0.374021\pi\) |
−0.922699 | + | 0.385522i | \(0.874021\pi\) | |||||||
\(740\) | −3.23458 | + | 5.60246i | −0.118906 | + | 0.205950i | ||||
\(741\) | −3.20415 | + | 1.34484i | −0.117708 | + | 0.0494040i | ||||
\(742\) | 12.7236 | + | 1.83457i | 0.467099 | + | 0.0673491i | ||||
\(743\) | 8.72671 | + | 32.5685i | 0.320152 | + | 1.19482i | 0.919097 | + | 0.394033i | \(0.128920\pi\) |
−0.598945 | + | 0.800790i | \(0.704413\pi\) | |||||||
\(744\) | 1.25726 | + | 2.17764i | 0.0460934 | + | 0.0798361i | ||||
\(745\) | 8.74028 | − | 15.1386i | 0.320219 | − | 0.554636i | ||||
\(746\) | 7.42228 | + | 1.98879i | 0.271749 | + | 0.0728150i | ||||
\(747\) | −10.1090 | − | 10.1090i | −0.369869 | − | 0.369869i | ||||
\(748\) | 42.4812 | + | 11.3828i | 1.55327 | + | 0.416197i | ||||
\(749\) | −25.6281 | + | 3.05384i | −0.936430 | + | 0.111585i | ||||
\(750\) | 12.6556 | + | 21.9201i | 0.462116 | + | 0.800409i | ||||
\(751\) | 27.5178 | − | 15.8874i | 1.00414 | − | 0.579741i | 0.0946696 | − | 0.995509i | \(-0.469821\pi\) |
0.909471 | + | 0.415768i | \(0.136487\pi\) | |||||||
\(752\) | −8.09679 | + | 8.09679i | −0.295259 | + | 0.295259i | ||||
\(753\) | −0.424072 | + | 0.244838i | −0.0154540 | + | 0.00892240i | ||||
\(754\) | 72.7417 | − | 30.5310i | 2.64910 | − | 1.11187i | ||||
\(755\) | − | 25.2019i | − | 0.917191i | ||||||
\(756\) | −3.79790 | − | 5.07762i | −0.138128 | − | 0.184671i | ||||
\(757\) | −13.6215 | + | 23.5930i | −0.495080 | + | 0.857504i | −0.999984 | − | 0.00567171i | \(-0.998195\pi\) |
0.504904 | + | 0.863176i | \(0.331528\pi\) | |||||||
\(758\) | − | 49.9334i | − | 1.81366i | ||||||
\(759\) | −4.30664 | + | 16.0726i | −0.156321 | + | 0.583398i | ||||
\(760\) | 0.406476 | + | 1.51699i | 0.0147444 | + | 0.0550270i | ||||
\(761\) | −20.1667 | + | 20.1667i | −0.731042 | + | 0.731042i | −0.970826 | − | 0.239784i | \(-0.922923\pi\) |
0.239784 | + | 0.970826i | \(0.422923\pi\) | |||||||
\(762\) | 16.7985 | − | 16.7985i | 0.608546 | − | 0.608546i | ||||
\(763\) | 9.74935 | − | 12.3871i | 0.352950 | − | 0.448444i | ||||
\(764\) | 22.3928 | + | 12.9285i | 0.810143 | + | 0.467736i | ||||
\(765\) | −3.71277 | + | 13.8563i | −0.134236 | + | 0.500974i | ||||
\(766\) | −32.0817 | − | 55.5671i | −1.15916 | − | 2.00772i | ||||
\(767\) | 2.15595 | − | 16.9914i | 0.0778467 | − | 0.613523i | ||||
\(768\) | 6.85557 | + | 3.95806i | 0.247379 | + | 0.142824i | ||||
\(769\) | 27.2629 | − | 7.30506i | 0.983124 | − | 0.263427i | 0.268764 | − | 0.963206i | \(-0.413385\pi\) |
0.714360 | + | 0.699779i | \(0.246718\pi\) | |||||||
\(770\) | −25.3005 | + | 10.1171i | −0.911767 | + | 0.364594i | ||||
\(771\) | 16.2048 | − | 9.35585i | 0.583602 | − | 0.336943i | ||||
\(772\) | 12.1913 | + | 45.4986i | 0.438775 | + | 1.63753i | ||||
\(773\) | 11.7186 | − | 3.13999i | 0.421488 | − | 0.112937i | −0.0418396 | − | 0.999124i | \(-0.513322\pi\) |
0.463328 | + | 0.886187i | \(0.346655\pi\) | |||||||
\(774\) | −23.6819 | + | 6.34554i | −0.851227 | + | 0.228086i | ||||
\(775\) | −0.908157 | − | 3.38929i | −0.0326220 | − | 0.121747i | ||||
\(776\) | 7.34530 | − | 4.24081i | 0.263681 | − | 0.152236i | ||||
\(777\) | −2.25414 | + | 2.86402i | −0.0808668 | + | 0.102746i | ||||
\(778\) | 2.38784 | − | 0.639819i | 0.0856082 | − | 0.0229386i | ||||
\(779\) | −0.613518 | − | 0.354215i | −0.0219816 | − | 0.0126911i | ||||
\(780\) | −10.2444 | + | 13.4812i | −0.366810 | + | 0.482706i | ||||
\(781\) | 10.8071 | + | 18.7184i | 0.386708 | + | 0.669799i | ||||
\(782\) | −26.3735 | + | 98.4273i | −0.943115 | + | 3.51975i | ||||
\(783\) | −9.03685 | − | 5.21743i | −0.322951 | − | 0.186456i | ||||
\(784\) | −6.03031 | + | 20.4768i | −0.215368 | + | 0.731316i | ||||
\(785\) | −6.32841 | + | 6.32841i | −0.225871 | + | 0.225871i | ||||
\(786\) | −21.2164 | + | 21.2164i | −0.756763 | + | 0.756763i | ||||
\(787\) | −4.81648 | − | 17.9754i | −0.171689 | − | 0.640753i | −0.997092 | − | 0.0762083i | \(-0.975719\pi\) |
0.825403 | − | 0.564544i | \(-0.190948\pi\) | |||||||
\(788\) | 7.11415 | − | 26.5504i | 0.253431 | − | 0.945817i | ||||
\(789\) | 3.44239i | 0.122552i | ||||||||
\(790\) | −9.51735 | + | 16.4845i | −0.338612 | + | 0.586494i | ||||
\(791\) | −29.7322 | + | 3.54288i | −1.05715 | + | 0.125970i | ||||
\(792\) | − | 2.08457i | − | 0.0740720i | ||||||
\(793\) | −12.8968 | + | 31.5533i | −0.457978 | + | 1.12049i | ||||
\(794\) | 22.0655 | − | 12.7395i | 0.783076 | − | 0.452109i | ||||
\(795\) | −3.21067 | + | 3.21067i | −0.113871 | + | 0.113871i | ||||
\(796\) | −11.5290 | + | 6.65625i | −0.408634 | + | 0.235925i | ||||
\(797\) | −16.8639 | − | 29.2091i | −0.597350 | − | 1.03464i | −0.993211 | − | 0.116330i | \(-0.962887\pi\) |
0.395861 | − | 0.918311i | \(-0.370446\pi\) | |||||||
\(798\) | 0.632632 | + | 5.30911i | 0.0223949 | + | 0.187941i | ||||
\(799\) | −26.5528 | − | 7.11479i | −0.939369 | − | 0.251703i | ||||
\(800\) | 6.61172 | + | 6.61172i | 0.233760 | + | 0.233760i | ||||
\(801\) | 3.95954 | + | 1.06096i | 0.139904 | + | 0.0374871i | ||||
\(802\) | −2.26114 | + | 3.91641i | −0.0798437 | + | 0.138293i | ||||
\(803\) | 9.74009 | + | 16.8703i | 0.343720 | + | 0.595341i | ||||
\(804\) | −3.89176 | − | 14.5242i | −0.137252 | − | 0.512230i | ||||
\(805\) | −12.7777 | − | 31.9541i | −0.450355 | − | 1.12623i | ||||
\(806\) | 18.0700 | − | 14.0007i | 0.636488 | − | 0.493154i | ||||
\(807\) | −4.52336 | + | 7.83469i | −0.159230 | + | 0.275794i | ||||
\(808\) | −2.23788 | − | 2.23788i | −0.0787283 | − | 0.0787283i | ||||
\(809\) | −45.3592 | −1.59475 | −0.797373 | − | 0.603487i | \(-0.793778\pi\) | ||||
−0.797373 | + | 0.603487i | \(0.793778\pi\) | |||||||
\(810\) | 4.10864 | 0.144363 | ||||||||
\(811\) | −11.6911 | − | 11.6911i | −0.410531 | − | 0.410531i | 0.471392 | − | 0.881924i | \(-0.343752\pi\) |
−0.881924 | + | 0.471392i | \(0.843752\pi\) | |||||||
\(812\) | −7.82891 | − | 65.7010i | −0.274741 | − | 2.30565i | ||||
\(813\) | −2.02520 | + | 7.55815i | −0.0710268 | + | 0.265076i | ||||
\(814\) | −6.99369 | + | 1.87395i | −0.245129 | + | 0.0656821i | ||||
\(815\) | −4.35335 | − | 2.51341i | −0.152491 | − | 0.0880409i | ||||
\(816\) | 22.3249i | 0.781526i | ||||||||
\(817\) | 10.8851 | + | 2.91665i | 0.380821 | + | 0.102041i | ||||
\(818\) | −10.0705 | −0.352106 | ||||||||
\(819\) | −6.79650 | + | 6.69384i | −0.237489 | + | 0.233902i | ||||
\(820\) | −3.45190 | −0.120546 | ||||||||
\(821\) | −17.3943 | − | 4.66078i | −0.607064 | − | 0.162662i | −0.0578239 | − | 0.998327i | \(-0.518416\pi\) |
−0.549240 | + | 0.835664i | \(0.685083\pi\) | |||||||
\(822\) | − | 11.9428i | − | 0.416551i | ||||||
\(823\) | −19.4125 | − | 11.2078i | −0.676676 | − | 0.390679i | 0.121925 | − | 0.992539i | \(-0.461093\pi\) |
−0.798602 | + | 0.601860i | \(0.794426\pi\) | |||||||
\(824\) | 7.63273 | − | 2.04518i | 0.265899 | − | 0.0712474i | ||||
\(825\) | −0.752875 | + | 2.80977i | −0.0262117 | + | 0.0978236i | ||||
\(826\) | −24.2213 | − | 10.3836i | −0.842767 | − | 0.361292i | ||||
\(827\) | 21.3413 | + | 21.3413i | 0.742110 | + | 0.742110i | 0.972984 | − | 0.230873i | \(-0.0741584\pi\) |
−0.230873 | + | 0.972984i | \(0.574158\pi\) | |||||||
\(828\) | 15.9091 | 0.552881 | ||||||||
\(829\) | −2.33268 | −0.0810172 | −0.0405086 | − | 0.999179i | \(-0.512898\pi\) | ||||
−0.0405086 | + | 0.999179i | \(0.512898\pi\) | |||||||
\(830\) | 41.5343 | + | 41.5343i | 1.44167 | + | 1.44167i | ||||
\(831\) | 0.774557 | − | 1.34157i | 0.0268691 | − | 0.0465386i | ||||
\(832\) | −14.7272 | + | 36.0316i | −0.510574 | + | 1.24917i | ||||
\(833\) | −49.8112 | + | 12.0420i | −1.72586 | + | 0.417230i | ||||
\(834\) | 5.87832 | + | 21.9382i | 0.203549 | + | 0.759657i | ||||
\(835\) | −7.20728 | − | 12.4834i | −0.249418 | − | 0.432005i | ||||
\(836\) | −2.89491 | + | 5.01414i | −0.100123 | + | 0.173418i | ||||
\(837\) | −2.92062 | − | 0.782577i | −0.100951 | − | 0.0270498i | ||||
\(838\) | 31.2854 | + | 31.2854i | 1.08074 | + | 1.08074i | ||||
\(839\) | −32.4718 | − | 8.70079i | −1.12105 | − | 0.300385i | −0.349742 | − | 0.936846i | \(-0.613731\pi\) |
−0.771308 | + | 0.636462i | \(0.780397\pi\) | |||||||
\(840\) | 2.58231 | + | 3.45244i | 0.0890982 | + | 0.119120i | ||||
\(841\) | −39.9432 | − | 69.1836i | −1.37735 | − | 2.38564i | ||||
\(842\) | 62.6935 | − | 36.1961i | 2.16056 | − | 1.24740i | ||||
\(843\) | 4.20181 | − | 4.20181i | 0.144718 | − | 0.144718i | ||||
\(844\) | −33.4715 | + | 19.3248i | −1.15214 | + | 0.665187i | ||||
\(845\) | 22.1789 | + | 12.5291i | 0.762976 | + | 0.431014i | ||||
\(846\) | 7.87339i | 0.270693i | ||||||||
\(847\) | 11.4698 | + | 4.91707i | 0.394106 | + | 0.168952i | ||||
\(848\) | −3.53319 | + | 6.11966i | −0.121330 | + | 0.210150i | ||||
\(849\) | 4.65614i | 0.159798i | ||||||||
\(850\) | −4.61055 | + | 17.2068i | −0.158141 | + | 0.590189i | ||||
\(851\) | −2.36677 | − | 8.83292i | −0.0811320 | − | 0.302789i | ||||
\(852\) | 14.6127 | − | 14.6127i | 0.500621 | − | 0.500621i | ||||
\(853\) | −4.02453 | + | 4.02453i | −0.137797 | + | 0.137797i | −0.772641 | − | 0.634844i | \(-0.781065\pi\) |
0.634844 | + | 0.772641i | \(0.281065\pi\) | |||||||
\(854\) | 41.2138 | + | 32.4376i | 1.41031 | + | 1.10999i | ||||
\(855\) | −1.63548 | − | 0.944245i | −0.0559322 | − | 0.0322925i | ||||
\(856\) | −2.09966 | + | 7.83604i | −0.0717650 | + | 0.267830i | ||||
\(857\) | −7.66605 | − | 13.2780i | −0.261867 | − | 0.453567i | 0.704871 | − | 0.709336i | \(-0.251005\pi\) |
−0.966738 | + | 0.255768i | \(0.917672\pi\) | |||||||
\(858\) | −18.7767 | + | 2.56163i | −0.641025 | + | 0.0874527i | ||||
\(859\) | −27.5049 | − | 15.8800i | −0.938455 | − | 0.541817i | −0.0489791 | − | 0.998800i | \(-0.515597\pi\) |
−0.889476 | + | 0.456983i | \(0.848930\pi\) | |||||||
\(860\) | 53.0388 | − | 14.2117i | 1.80861 | − | 0.484615i | ||||
\(861\) | −1.92487 | − | 0.277540i | −0.0655995 | − | 0.00945852i | ||||
\(862\) | 14.9666 | − | 8.64096i | 0.509764 | − | 0.294312i | ||||
\(863\) | 0.350876 | + | 1.30949i | 0.0119439 | + | 0.0445754i | 0.971641 | − | 0.236462i | \(-0.0759880\pi\) |
−0.959697 | + | 0.281038i | \(0.909321\pi\) | |||||||
\(864\) | 7.78286 | − | 2.08541i | 0.264778 | − | 0.0709471i | ||||
\(865\) | −34.7151 | + | 9.30189i | −1.18035 | + | 0.316274i | ||||
\(866\) | 14.4294 | + | 53.8511i | 0.490330 | + | 1.82994i | ||||
\(867\) | −31.6925 | + | 18.2976i | −1.07633 | + | 0.621421i | ||||
\(868\) | −7.11857 | − | 17.8019i | −0.241620 | − | 0.604236i | ||||
\(869\) | −11.2172 | + | 3.00564i | −0.380517 | + | 0.101959i | ||||
\(870\) | 37.1292 | + | 21.4365i | 1.25880 | + | 0.726767i | ||||
\(871\) | −20.8588 | + | 8.75483i | −0.706774 | + | 0.296646i | ||||
\(872\) | −2.47742 | − | 4.29103i | −0.0838962 | − | 0.145312i | ||||
\(873\) | −2.63968 | + | 9.85141i | −0.0893396 | + | 0.333420i | ||||
\(874\) | −11.6175 | − | 6.70740i | −0.392969 | − | 0.226881i | ||||
\(875\) | −11.8582 | − | 29.6546i | −0.400879 | − | 1.00251i | ||||
\(876\) | 13.1699 | − | 13.1699i | 0.444970 | − | 0.444970i | ||||
\(877\) | 33.1880 | − | 33.1880i | 1.12068 | − | 1.12068i | 0.129039 | − | 0.991640i | \(-0.458811\pi\) |
0.991640 | − | 0.129039i | \(-0.0411893\pi\) | |||||||
\(878\) | −9.70333 | − | 36.2133i | −0.327471 | − | 1.22214i | ||||
\(879\) | −2.89410 | + | 10.8009i | −0.0976156 | + | 0.364306i | ||||
\(880\) | − | 14.9781i | − | 0.504912i | ||||||
\(881\) | −3.74445 | + | 6.48558i | −0.126154 | + | 0.218505i | −0.922183 | − | 0.386753i | \(-0.873597\pi\) |
0.796030 | + | 0.605258i | \(0.206930\pi\) | |||||||
\(882\) | 7.02397 | + | 12.8879i | 0.236509 | + | 0.433958i | ||||
\(883\) | − | 21.6436i | − | 0.728364i | −0.931328 | − | 0.364182i | \(-0.881349\pi\) | ||
0.931328 | − | 0.364182i | \(-0.118651\pi\) | |||||||
\(884\) | −62.6799 | + | 8.55118i | −2.10815 | + | 0.287607i | ||||
\(885\) | 8.06111 | − | 4.65408i | 0.270971 | − | 0.156445i | ||||
\(886\) | 32.3008 | − | 32.3008i | 1.08517 | − | 1.08517i | ||||
\(887\) | 8.60156 | − | 4.96611i | 0.288812 | − | 0.166746i | −0.348594 | − | 0.937274i | \(-0.613341\pi\) |
0.637406 | + | 0.770528i | \(0.280007\pi\) | |||||||
\(888\) | 0.572804 | + | 0.992125i | 0.0192220 | + | 0.0332935i | ||||
\(889\) | −24.0043 | + | 17.9544i | −0.805078 | + | 0.602173i | ||||
\(890\) | −16.2683 | − | 4.35909i | −0.545316 | − | 0.146117i | ||||
\(891\) | 1.77246 | + | 1.77246i | 0.0593798 | + | 0.0593798i | ||||
\(892\) | −61.4923 | − | 16.4768i | −2.05892 | − | 0.551685i | ||||
\(893\) | 1.80946 | − | 3.13407i | 0.0605511 | − | 0.104878i | ||||
\(894\) | −9.35289 | − | 16.1997i | −0.312807 | − | 0.541798i | ||||
\(895\) | −0.968408 | − | 3.61415i | −0.0323703 | − | 0.120808i | ||||
\(896\) | 13.5598 | + | 10.6723i | 0.453002 | + | 0.356538i | ||||
\(897\) | −3.23530 | − | 23.7146i | −0.108024 | − | 0.791809i | ||||
\(898\) | −3.44593 | + | 5.96852i | −0.114992 | + | 0.199172i | ||||
\(899\) | −22.3101 | − | 22.3101i | −0.744085 | − | 0.744085i | ||||
\(900\) | 2.78120 | 0.0927066 | ||||||||
\(901\) | −16.9642 | −0.565161 | ||||||||
\(902\) | −2.73186 | − | 2.73186i | −0.0909609 | − | 0.0909609i | ||||
\(903\) | 30.7185 | − | 3.66041i | 1.02225 | − | 0.121811i | ||||
\(904\) | −2.43590 | + | 9.09091i | −0.0810169 | + | 0.302359i | ||||
\(905\) | 35.8372 | − | 9.60255i | 1.19127 | − | 0.319199i | ||||
\(906\) | −23.3552 | − | 13.4841i | −0.775925 | − | 0.447981i | ||||
\(907\) | 40.1732i | 1.33393i | 0.745089 | + | 0.666965i | \(0.232407\pi\) | ||||
−0.745089 | + | 0.666965i | \(0.767593\pi\) | |||||||
\(908\) | 4.11497 | + | 1.10260i | 0.136560 | + | 0.0365912i | ||||
\(909\) | 3.80563 | 0.126225 | ||||||||
\(910\) | 27.9244 | − | 27.5026i | 0.925684 | − | 0.911702i | ||||
\(911\) | 15.0163 | 0.497513 | 0.248757 | − | 0.968566i | \(-0.419978\pi\) | ||||
0.248757 | + | 0.968566i | \(0.419978\pi\) | |||||||
\(912\) | −2.83886 | − | 0.760671i | −0.0940042 | − | 0.0251883i | ||||
\(913\) | 35.8357i | 1.18599i | ||||||||
\(914\) | −65.6167 | − | 37.8838i | −2.17041 | − | 1.25309i | ||||
\(915\) | −17.8938 | + | 4.79463i | −0.591550 | + | 0.158505i | ||||
\(916\) | 5.57654 | − | 20.8119i | 0.184254 | − | 0.687646i | ||||
\(917\) | 30.3173 | − | 22.6763i | 1.00116 | − | 0.748838i | ||||
\(918\) | 10.8544 | + | 10.8544i | 0.358250 | + | 0.358250i | ||||
\(919\) | 18.8754 | 0.622643 | 0.311321 | − | 0.950305i | \(-0.399228\pi\) | ||||
0.311321 | + | 0.950305i | \(0.399228\pi\) | |||||||
\(920\) | −10.8171 | −0.356631 | ||||||||
\(921\) | 2.63969 | + | 2.63969i | 0.0869807 | + | 0.0869807i | ||||
\(922\) | −13.4681 | + | 23.3274i | −0.443547 | + | 0.768246i | ||||
\(923\) | −24.7537 | − | 18.8104i | −0.814778 | − | 0.619152i | ||||
\(924\) | −2.26826 | + | 15.7315i | −0.0746204 | + | 0.517529i | ||||
\(925\) | −0.413754 | − | 1.54415i | −0.0136041 | − | 0.0507713i | ||||
\(926\) | 32.9449 | + | 57.0622i | 1.08264 | + | 1.87518i | ||||
\(927\) | −4.75097 | + | 8.22892i | −0.156042 | + | 0.270273i | ||||
\(928\) | 81.2131 | + | 21.7610i | 2.66595 | + | 0.714339i | ||||
\(929\) | 33.1445 | + | 33.1445i | 1.08744 | + | 1.08744i | 0.995792 | + | 0.0916445i | \(0.0292124\pi\) |
0.0916445 | + | 0.995792i | \(0.470788\pi\) | |||||||
\(930\) | 11.9998 | + | 3.21533i | 0.393488 | + | 0.105435i | ||||
\(931\) | 0.165935 | − | 6.74438i | 0.00543829 | − | 0.221038i | ||||
\(932\) | −1.23388 | − | 2.13715i | −0.0404172 | − | 0.0700046i | ||||
\(933\) | 28.2035 | − | 16.2833i | 0.923341 | − | 0.533091i | ||||
\(934\) | 50.8514 | − | 50.8514i | 1.66391 | − | 1.66391i | ||||
\(935\) | 31.1405 | − | 17.9790i | 1.01840 | − | 0.587975i | ||||
\(936\) | 1.16043 | + | 2.76479i | 0.0379299 | + | 0.0903700i | ||||
\(937\) | − | 17.9722i | − | 0.587126i | −0.955940 | − | 0.293563i | \(-0.905159\pi\) | ||
0.955940 | − | 0.293563i | \(-0.0948411\pi\) | |||||||
\(938\) | 4.11839 | + | 34.5619i | 0.134470 | + | 1.12849i | ||||
\(939\) | −7.33945 | + | 12.7123i | −0.239514 | + | 0.414850i | ||||
\(940\) | − | 17.6335i | − | 0.575142i | ||||||
\(941\) | −9.15389 | + | 34.1628i | −0.298408 | + | 1.11367i | 0.640065 | + | 0.768321i | \(0.278908\pi\) |
−0.938473 | + | 0.345353i | \(0.887759\pi\) | |||||||
\(942\) | 2.47871 | + | 9.25067i | 0.0807608 | + | 0.301403i | ||||
\(943\) | 3.45029 | − | 3.45029i | 0.112357 | − | 0.112357i | ||||
\(944\) | 10.2432 | − | 10.2432i | 0.333388 | − | 0.333388i | ||||
\(945\) | −5.13121 | − | 0.739848i | −0.166918 | − | 0.0240673i | ||||
\(946\) | 53.2225 | + | 30.7280i | 1.73041 | + | 0.999054i | ||||
\(947\) | −0.0341422 | + | 0.127421i | −0.00110947 | + | 0.00414061i | −0.966478 | − | 0.256748i | \(-0.917349\pi\) |
0.965369 | + | 0.260889i | \(0.0840156\pi\) | |||||||
\(948\) | 5.55157 | + | 9.61560i | 0.180307 | + | 0.312300i | ||||
\(949\) | −22.3097 | − | 16.9532i | −0.724204 | − | 0.550324i | ||||
\(950\) | −2.03095 | − | 1.17257i | −0.0658927 | − | 0.0380432i | ||||
\(951\) | −9.92063 | + | 2.65822i | −0.321698 | + | 0.0861988i | ||||
\(952\) | −2.29875 | + | 15.9429i | −0.0745028 | + | 0.516714i | ||||
\(953\) | 30.3290 | − | 17.5105i | 0.982454 | − | 0.567220i | 0.0794437 | − | 0.996839i | \(-0.474686\pi\) |
0.903010 | + | 0.429619i | \(0.141352\pi\) | |||||||
\(954\) | 1.25755 | + | 4.69325i | 0.0407148 | + | 0.151950i | ||||
\(955\) | 20.4203 | − | 5.47161i | 0.660787 | − | 0.177057i | ||||
\(956\) | −43.3280 | + | 11.6097i | −1.40133 | + | 0.375485i | ||||
\(957\) | 6.76979 | + | 25.2652i | 0.218836 | + | 0.816708i | ||||
\(958\) | 4.34099 | − | 2.50627i | 0.140251 | − | 0.0809740i | ||||
\(959\) | −2.15055 | + | 14.9151i | −0.0694448 | + | 0.481634i | ||||
\(960\) | −20.4335 | + | 5.47513i | −0.659487 | + | 0.176709i | ||||
\(961\) | 18.9292 | + | 10.9288i | 0.610620 | + | 0.352542i | ||||
\(962\) | 8.23263 | − | 6.37868i | 0.265430 | − | 0.205657i | ||||
\(963\) | −4.87752 | − | 8.44811i | −0.157176 | − | 0.272236i | ||||
\(964\) | 1.82169 | − | 6.79862i | 0.0586725 | − | 0.218969i | ||||
\(965\) | 33.3524 | + | 19.2560i | 1.07365 | + | 0.619872i | ||||
\(966\) | −36.4493 | − | 5.25547i | −1.17274 | − | 0.169092i | ||||
\(967\) | −13.6207 | + | 13.6207i | −0.438014 | + | 0.438014i | −0.891343 | − | 0.453329i | \(-0.850236\pi\) |
0.453329 | + | 0.891343i | \(0.350236\pi\) | |||||||
\(968\) | 2.77365 | − | 2.77365i | 0.0891484 | − | 0.0891484i | ||||
\(969\) | −1.82614 | − | 6.81526i | −0.0586642 | − | 0.218938i | ||||
\(970\) | 10.8455 | − | 40.4759i | 0.348228 | − | 1.29960i | ||||
\(971\) | 3.40717i | 0.109341i | 0.998504 | + | 0.0546707i | \(0.0174109\pi\) | ||||
−0.998504 | + | 0.0546707i | \(0.982589\pi\) | |||||||
\(972\) | 1.19831 | − | 2.07553i | 0.0384357 | − | 0.0665725i | ||||
\(973\) | −3.39090 | − | 28.4567i | −0.108707 | − | 0.912281i | ||||
\(974\) | − | 17.5974i | − | 0.563858i | ||||||
\(975\) | −0.565587 | − | 4.14573i | −0.0181133 | − | 0.132770i | ||||
\(976\) | −24.9675 | + | 14.4150i | −0.799191 | + | 0.461413i | ||||
\(977\) | 8.46644 | − | 8.46644i | 0.270865 | − | 0.270865i | −0.558583 | − | 0.829449i | \(-0.688655\pi\) |
0.829449 | + | 0.558583i | \(0.188655\pi\) | |||||||
\(978\) | −4.65848 | + | 2.68957i | −0.148962 | + | 0.0860031i | ||||
\(979\) | −5.13764 | − | 8.89866i | −0.164200 | − | 0.284402i | ||||
\(980\) | −15.7311 | − | 28.8642i | −0.502513 | − | 0.922033i | ||||
\(981\) | 5.75506 | + | 1.54206i | 0.183745 | + | 0.0492343i | ||||
\(982\) | −9.36262 | − | 9.36262i | −0.298773 | − | 0.298773i | ||||
\(983\) | −10.9991 | − | 2.94720i | −0.350817 | − | 0.0940010i | 0.0791074 | − | 0.996866i | \(-0.474793\pi\) |
−0.429924 | + | 0.902865i | \(0.641460\pi\) | |||||||
\(984\) | −0.305644 | + | 0.529391i | −0.00974357 | + | 0.0168764i | ||||
\(985\) | −11.2367 | − | 19.4625i | −0.358030 | − | 0.620127i | ||||
\(986\) | 41.4577 | + | 154.722i | 1.32028 | + | 4.92736i | ||||
\(987\) | 1.41777 | − | 9.83294i | 0.0451281 | − | 0.312986i | ||||
\(988\) | 1.04830 | − | 8.26184i | 0.0333509 | − | 0.262844i | ||||
\(989\) | −38.8090 | + | 67.2192i | −1.23405 | + | 2.13744i | ||||
\(990\) | −7.28242 | − | 7.28242i | −0.231450 | − | 0.231450i | ||||
\(991\) | 33.8862 | 1.07643 | 0.538216 | − | 0.842807i | \(-0.319099\pi\) | ||||
0.538216 | + | 0.842807i | \(0.319099\pi\) | |||||||
\(992\) | 24.3627 | 0.773518 | ||||||||
\(993\) | 17.8973 | + | 17.8973i | 0.567953 | + | 0.567953i | ||||
\(994\) | −38.3061 | + | 28.6517i | −1.21500 | + | 0.908778i | ||||
\(995\) | −2.81707 | + | 10.5134i | −0.0893071 | + | 0.333299i | ||||
\(996\) | 33.0952 | − | 8.86783i | 1.04866 | − | 0.280988i | ||||
\(997\) | −31.6123 | − | 18.2514i | −1.00117 | − | 0.578026i | −0.0925764 | − | 0.995706i | \(-0.529510\pi\) |
−0.908595 | + | 0.417679i | \(0.862844\pi\) | |||||||
\(998\) | − | 73.7049i | − | 2.33309i | ||||||
\(999\) | −1.33062 | − | 0.356539i | −0.0420991 | − | 0.0112804i |
(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 | 273.2.cg.a.19.8 | yes | 36 | |
3.2 | odd | 2 | 819.2.gh.c.19.2 | 36 | |||
7.3 | odd | 6 | 273.2.bt.a.136.2 | ✓ | 36 | ||
13.11 | odd | 12 | 273.2.bt.a.271.2 | yes | 36 | ||
21.17 | even | 6 | 819.2.et.c.136.8 | 36 | |||
39.11 | even | 12 | 819.2.et.c.271.8 | 36 | |||
91.24 | even | 12 | inner | 273.2.cg.a.115.8 | yes | 36 | |
273.206 | odd | 12 | 819.2.gh.c.388.2 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.a.136.2 | ✓ | 36 | 7.3 | odd | 6 | ||
273.2.bt.a.271.2 | yes | 36 | 13.11 | odd | 12 | ||
273.2.cg.a.19.8 | yes | 36 | 1.1 | even | 1 | trivial | |
273.2.cg.a.115.8 | yes | 36 | 91.24 | even | 12 | inner | |
819.2.et.c.136.8 | 36 | 21.17 | even | 6 | |||
819.2.et.c.271.8 | 36 | 39.11 | even | 12 | |||
819.2.gh.c.19.2 | 36 | 3.2 | odd | 2 | |||
819.2.gh.c.388.2 | 36 | 273.206 | odd | 12 |