Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(11,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.q (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.10 | ||
Character | \(\chi\) | \(=\) | 690.11 |
Dual form | 690.2.q.a.251.10 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.540641 | + | 0.841254i | 0.382291 | + | 0.594856i | ||||
\(3\) | −1.25644 | + | 1.19221i | −0.725404 | + | 0.688324i | ||||
\(4\) | −0.415415 | + | 0.909632i | −0.207708 | + | 0.454816i | ||||
\(5\) | −0.959493 | + | 0.281733i | −0.429098 | + | 0.125995i | ||||
\(6\) | −1.68223 | − | 0.412423i | −0.686769 | − | 0.168371i | ||||
\(7\) | 3.70222 | − | 3.20799i | 1.39931 | − | 1.21251i | 0.452069 | − | 0.891983i | \(-0.350686\pi\) |
0.947240 | − | 0.320525i | \(-0.103859\pi\) | |||||||
\(8\) | −0.989821 | + | 0.142315i | −0.349955 | + | 0.0503159i | ||||
\(9\) | 0.157263 | − | 2.99588i | 0.0524210 | − | 0.998625i | ||||
\(10\) | −0.755750 | − | 0.654861i | −0.238989 | − | 0.207085i | ||||
\(11\) | 2.80081 | + | 1.79997i | 0.844477 | + | 0.542713i | 0.889848 | − | 0.456258i | \(-0.150810\pi\) |
−0.0453705 | + | 0.998970i | \(0.514447\pi\) | |||||||
\(12\) | −0.562531 | − | 1.63816i | −0.162389 | − | 0.472895i | ||||
\(13\) | 3.81776 | − | 4.40593i | 1.05886 | − | 1.22198i | 0.0846290 | − | 0.996413i | \(-0.473029\pi\) |
0.974227 | − | 0.225572i | \(-0.0724251\pi\) | |||||||
\(14\) | 4.70031 | + | 1.38014i | 1.25621 | + | 0.368857i | ||||
\(15\) | 0.869657 | − | 1.49790i | 0.224544 | − | 0.386755i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | 2.40866 | + | 5.27422i | 0.584185 | + | 1.27919i | 0.938893 | + | 0.344209i | \(0.111853\pi\) |
−0.354708 | + | 0.934977i | \(0.615420\pi\) | |||||||
\(18\) | 2.60531 | − | 1.48739i | 0.614078 | − | 0.350582i | ||||
\(19\) | −1.05335 | − | 0.481051i | −0.241656 | − | 0.110361i | 0.290906 | − | 0.956752i | \(-0.406043\pi\) |
−0.532562 | + | 0.846391i | \(0.678771\pi\) | |||||||
\(20\) | 0.142315 | − | 0.989821i | 0.0318226 | − | 0.221331i | ||||
\(21\) | −0.826998 | + | 8.44447i | −0.180466 | + | 1.84274i | ||||
\(22\) | 3.32933i | 0.709816i | ||||||||
\(23\) | −3.28761 | − | 3.49165i | −0.685514 | − | 0.728059i | ||||
\(24\) | 1.07398 | − | 1.35889i | 0.219225 | − | 0.277381i | ||||
\(25\) | 0.841254 | − | 0.540641i | 0.168251 | − | 0.108128i | ||||
\(26\) | 5.77054 | + | 0.829678i | 1.13170 | + | 0.162713i | ||||
\(27\) | 3.37413 | + | 3.95162i | 0.649351 | + | 0.760489i | ||||
\(28\) | 1.38014 | + | 4.70031i | 0.260821 | + | 0.888275i | ||||
\(29\) | 1.40873 | − | 0.643347i | 0.261595 | − | 0.119467i | −0.280300 | − | 0.959912i | \(-0.590434\pi\) |
0.541896 | + | 0.840446i | \(0.317707\pi\) | |||||||
\(30\) | 1.73028 | − | 0.0782228i | 0.315905 | − | 0.0142815i | ||||
\(31\) | 0.0108063 | + | 0.0751597i | 0.00194087 | + | 0.0134991i | 0.990769 | − | 0.135562i | \(-0.0432840\pi\) |
−0.988828 | + | 0.149061i | \(0.952375\pi\) | |||||||
\(32\) | 0.281733 | − | 0.959493i | 0.0498038 | − | 0.169616i | ||||
\(33\) | −5.66499 | + | 1.07761i | −0.986149 | + | 0.187588i | ||||
\(34\) | −3.13474 | + | 4.87775i | −0.537603 | + | 0.836527i | ||||
\(35\) | −2.64846 | + | 4.12108i | −0.447672 | + | 0.696590i | ||||
\(36\) | 2.65981 | + | 1.38758i | 0.443302 | + | 0.231264i | ||||
\(37\) | −2.82705 | + | 9.62804i | −0.464764 | + | 1.58284i | 0.310095 | + | 0.950705i | \(0.399639\pi\) |
−0.774859 | + | 0.632134i | \(0.782179\pi\) | |||||||
\(38\) | −0.164801 | − | 1.14621i | −0.0267342 | − | 0.185941i | ||||
\(39\) | 0.456029 | + | 10.0873i | 0.0730231 | + | 1.61527i | ||||
\(40\) | 0.909632 | − | 0.415415i | 0.143825 | − | 0.0656829i | ||||
\(41\) | −1.93806 | − | 6.60042i | −0.302674 | − | 1.03081i | −0.960647 | − | 0.277771i | \(-0.910404\pi\) |
0.657973 | − | 0.753041i | \(-0.271414\pi\) | |||||||
\(42\) | −7.55105 | + | 3.86971i | −1.16515 | + | 0.597109i | ||||
\(43\) | 3.74808 | + | 0.538893i | 0.571577 | + | 0.0821804i | 0.422043 | − | 0.906576i | \(-0.361313\pi\) |
0.149535 | + | 0.988756i | \(0.452222\pi\) | |||||||
\(44\) | −2.80081 | + | 1.79997i | −0.422239 | + | 0.271356i | ||||
\(45\) | 0.693143 | + | 2.91883i | 0.103328 | + | 0.435113i | ||||
\(46\) | 1.15995 | − | 4.65344i | 0.171025 | − | 0.686113i | ||||
\(47\) | 6.09793i | 0.889474i | 0.895661 | + | 0.444737i | \(0.146703\pi\) | ||||
−0.895661 | + | 0.444737i | \(0.853297\pi\) | |||||||
\(48\) | 1.72380 | + | 0.168818i | 0.248810 | + | 0.0243668i | ||||
\(49\) | 2.41902 | − | 16.8247i | 0.345575 | − | 2.40352i | ||||
\(50\) | 0.909632 | + | 0.415415i | 0.128641 | + | 0.0587486i | ||||
\(51\) | −9.31431 | − | 3.75509i | −1.30426 | − | 0.525818i | ||||
\(52\) | 2.42182 | + | 5.30304i | 0.335846 | + | 0.735400i | ||||
\(53\) | −2.15669 | − | 2.48895i | −0.296244 | − | 0.341884i | 0.588041 | − | 0.808831i | \(-0.299899\pi\) |
−0.884285 | + | 0.466947i | \(0.845354\pi\) | |||||||
\(54\) | −1.50012 | + | 4.97490i | −0.204141 | + | 0.676998i | ||||
\(55\) | −3.19447 | − | 0.937982i | −0.430743 | − | 0.126477i | ||||
\(56\) | −3.20799 | + | 3.70222i | −0.428686 | + | 0.494730i | ||||
\(57\) | 1.89699 | − | 0.651412i | 0.251262 | − | 0.0862816i | ||||
\(58\) | 1.30284 | + | 0.837282i | 0.171071 | + | 0.109941i | ||||
\(59\) | 1.85353 | + | 1.60609i | 0.241309 | + | 0.209096i | 0.767116 | − | 0.641508i | \(-0.221691\pi\) |
−0.525807 | + | 0.850604i | \(0.676237\pi\) | |||||||
\(60\) | 1.00127 | + | 1.41332i | 0.129263 | + | 0.182458i | ||||
\(61\) | 11.3125 | − | 1.62650i | 1.44842 | − | 0.208252i | 0.627199 | − | 0.778859i | \(-0.284201\pi\) |
0.821223 | + | 0.570608i | \(0.193292\pi\) | |||||||
\(62\) | −0.0573860 | + | 0.0497252i | −0.00728803 | + | 0.00631511i | ||||
\(63\) | −9.02853 | − | 11.5959i | −1.13749 | − | 1.46095i | ||||
\(64\) | 0.959493 | − | 0.281733i | 0.119937 | − | 0.0352166i | ||||
\(65\) | −2.42182 | + | 5.30304i | −0.300390 | + | 0.657762i | ||||
\(66\) | −3.96927 | − | 4.18310i | −0.488583 | − | 0.514903i | ||||
\(67\) | 4.35207 | + | 6.77195i | 0.531690 | + | 0.827325i | 0.998368 | − | 0.0571015i | \(-0.0181859\pi\) |
−0.466679 | + | 0.884427i | \(0.654550\pi\) | |||||||
\(68\) | −5.79819 | −0.703134 | ||||||||
\(69\) | 8.29346 | + | 0.467509i | 0.998415 | + | 0.0562814i | ||||
\(70\) | −4.89874 | −0.585512 | ||||||||
\(71\) | −0.0737642 | − | 0.114779i | −0.00875420 | − | 0.0136218i | 0.836849 | − | 0.547434i | \(-0.184395\pi\) |
−0.845603 | + | 0.533812i | \(0.820759\pi\) | |||||||
\(72\) | 0.270695 | + | 2.98776i | 0.0319017 | + | 0.352111i | ||||
\(73\) | −2.95980 | + | 6.48106i | −0.346418 | + | 0.758550i | 0.653580 | + | 0.756857i | \(0.273266\pi\) |
−0.999999 | + | 0.00169305i | \(0.999461\pi\) | |||||||
\(74\) | −9.62804 | + | 2.82705i | −1.11924 | + | 0.328638i | ||||
\(75\) | −0.412423 | + | 1.68223i | −0.0476225 | + | 0.194248i | ||||
\(76\) | 0.875159 | − | 0.758330i | 0.100388 | − | 0.0869864i | ||||
\(77\) | 16.1435 | − | 2.32109i | 1.83973 | − | 0.264513i | ||||
\(78\) | −8.23946 | + | 5.83726i | −0.932936 | + | 0.660940i | ||||
\(79\) | 4.93755 | + | 4.27841i | 0.555517 | + | 0.481358i | 0.886787 | − | 0.462178i | \(-0.152932\pi\) |
−0.331270 | + | 0.943536i | \(0.607477\pi\) | |||||||
\(80\) | 0.841254 | + | 0.540641i | 0.0940550 | + | 0.0604455i | ||||
\(81\) | −8.95054 | − | 0.942281i | −0.994504 | − | 0.104698i | ||||
\(82\) | 4.50483 | − | 5.19886i | 0.497476 | − | 0.574117i | ||||
\(83\) | 9.78245 | + | 2.87239i | 1.07376 | + | 0.315285i | 0.770381 | − | 0.637584i | \(-0.220066\pi\) |
0.303382 | + | 0.952869i | \(0.401884\pi\) | |||||||
\(84\) | −7.33782 | − | 4.26022i | −0.800621 | − | 0.464829i | ||||
\(85\) | −3.79701 | − | 4.38198i | −0.411843 | − | 0.475293i | ||||
\(86\) | 1.57302 | + | 3.44444i | 0.169623 | + | 0.371423i | ||||
\(87\) | −1.00298 | + | 2.48783i | −0.107530 | + | 0.266724i | ||||
\(88\) | −3.02847 | − | 1.38306i | −0.322836 | − | 0.147434i | ||||
\(89\) | 2.62988 | − | 18.2912i | 0.278767 | − | 1.93887i | −0.0604799 | − | 0.998169i | \(-0.519263\pi\) |
0.339247 | − | 0.940697i | \(-0.389828\pi\) | |||||||
\(90\) | −2.08073 | + | 2.16115i | −0.219328 | + | 0.227805i | ||||
\(91\) | − | 28.5591i | − | 2.99380i | ||||||
\(92\) | 4.54184 | − | 1.54003i | 0.473519 | − | 0.160559i | ||||
\(93\) | −0.103184 | − | 0.0815499i | −0.0106996 | − | 0.00845633i | ||||
\(94\) | −5.12990 | + | 3.29679i | −0.529109 | + | 0.340038i | ||||
\(95\) | 1.14621 | + | 0.164801i | 0.117599 | + | 0.0169082i | ||||
\(96\) | 0.789940 | + | 1.54143i | 0.0806229 | + | 0.157321i | ||||
\(97\) | −3.87364 | − | 13.1924i | −0.393308 | − | 1.33949i | −0.883729 | − | 0.467999i | \(-0.844975\pi\) |
0.490421 | − | 0.871486i | \(-0.336843\pi\) | |||||||
\(98\) | 15.4616 | − | 7.06109i | 1.56186 | − | 0.713278i | ||||
\(99\) | 5.83296 | − | 8.10782i | 0.586235 | − | 0.814867i | ||||
\(100\) | 0.142315 | + | 0.989821i | 0.0142315 | + | 0.0989821i | ||||
\(101\) | −1.82251 | + | 6.20689i | −0.181346 | + | 0.617609i | 0.817769 | + | 0.575547i | \(0.195211\pi\) |
−0.999115 | + | 0.0420619i | \(0.986607\pi\) | |||||||
\(102\) | −1.87671 | − | 9.86585i | −0.185822 | − | 0.976865i | ||||
\(103\) | −9.69259 | + | 15.0820i | −0.955039 | + | 1.48607i | −0.0830500 | + | 0.996545i | \(0.526466\pi\) |
−0.871989 | + | 0.489525i | \(0.837170\pi\) | |||||||
\(104\) | −3.15187 | + | 4.90441i | −0.309066 | + | 0.480916i | ||||
\(105\) | −1.58558 | − | 8.33540i | −0.154737 | − | 0.813452i | ||||
\(106\) | 0.927845 | − | 3.15995i | 0.0901203 | − | 0.306921i | ||||
\(107\) | −1.46787 | − | 10.2093i | −0.141904 | − | 0.986966i | −0.928985 | − | 0.370116i | \(-0.879318\pi\) |
0.787081 | − | 0.616850i | \(-0.211591\pi\) | |||||||
\(108\) | −4.99618 | + | 1.42765i | −0.480758 | + | 0.137376i | ||||
\(109\) | −1.41677 | + | 0.647018i | −0.135702 | + | 0.0619731i | −0.482109 | − | 0.876111i | \(-0.660129\pi\) |
0.346407 | + | 0.938084i | \(0.387402\pi\) | |||||||
\(110\) | −0.937982 | − | 3.19447i | −0.0894331 | − | 0.304581i | ||||
\(111\) | −7.92665 | − | 15.4675i | −0.752365 | − | 1.46811i | ||||
\(112\) | −4.84888 | − | 0.697164i | −0.458176 | − | 0.0658758i | ||||
\(113\) | −8.85931 | + | 5.69354i | −0.833414 | + | 0.535603i | −0.886361 | − | 0.462995i | \(-0.846775\pi\) |
0.0529469 | + | 0.998597i | \(0.483139\pi\) | |||||||
\(114\) | 1.57359 | + | 1.24367i | 0.147380 | + | 0.116480i | ||||
\(115\) | 4.13815 | + | 2.42399i | 0.385884 | + | 0.226038i | ||||
\(116\) | 1.54868i | 0.143792i | ||||||||
\(117\) | −12.5992 | − | 12.1304i | −1.16480 | − | 1.12146i | ||||
\(118\) | −0.349037 | + | 2.42761i | −0.0321315 | + | 0.223479i | ||||
\(119\) | 25.8371 | + | 11.7994i | 2.36848 | + | 1.08165i | ||||
\(120\) | −0.647632 | + | 1.60642i | −0.0591204 | + | 0.146645i | ||||
\(121\) | 0.0350886 | + | 0.0768333i | 0.00318987 | + | 0.00698484i | ||||
\(122\) | 7.48431 | + | 8.63736i | 0.677598 | + | 0.781990i | ||||
\(123\) | 10.3041 | + | 5.98243i | 0.929093 | + | 0.539418i | ||||
\(124\) | −0.0728567 | − | 0.0213927i | −0.00654273 | − | 0.00192112i | ||||
\(125\) | −0.654861 | + | 0.755750i | −0.0585725 | + | 0.0675963i | ||||
\(126\) | 4.87390 | − | 13.8645i | 0.434201 | − | 1.23515i | ||||
\(127\) | 10.8270 | + | 6.95808i | 0.960740 | + | 0.617430i | 0.924203 | − | 0.381902i | \(-0.124731\pi\) |
0.0365372 | + | 0.999332i | \(0.488367\pi\) | |||||||
\(128\) | 0.755750 | + | 0.654861i | 0.0667995 | + | 0.0578821i | ||||
\(129\) | −5.35170 | + | 3.79142i | −0.471191 | + | 0.333816i | ||||
\(130\) | −5.77054 | + | 0.829678i | −0.506110 | + | 0.0727676i | ||||
\(131\) | 9.65854 | − | 8.36917i | 0.843871 | − | 0.731218i | −0.121363 | − | 0.992608i | \(-0.538726\pi\) |
0.965233 | + | 0.261390i | \(0.0841809\pi\) | |||||||
\(132\) | 1.37309 | − | 5.60072i | 0.119512 | − | 0.487480i | ||||
\(133\) | −5.44296 | + | 1.59820i | −0.471965 | + | 0.138581i | ||||
\(134\) | −3.34402 | + | 7.32239i | −0.288879 | + | 0.632558i | ||||
\(135\) | −4.35075 | − | 2.84095i | −0.374453 | − | 0.244510i | ||||
\(136\) | −3.13474 | − | 4.87775i | −0.268802 | − | 0.418264i | ||||
\(137\) | −10.5804 | −0.903946 | −0.451973 | − | 0.892032i | \(-0.649280\pi\) | ||||
−0.451973 | + | 0.892032i | \(0.649280\pi\) | |||||||
\(138\) | 4.09049 | + | 7.22965i | 0.348205 | + | 0.615429i | ||||
\(139\) | −20.1327 | −1.70764 | −0.853818 | − | 0.520572i | \(-0.825719\pi\) | ||||
−0.853818 | + | 0.520572i | \(0.825719\pi\) | |||||||
\(140\) | −2.64846 | − | 4.12108i | −0.223836 | − | 0.348295i | ||||
\(141\) | −7.27002 | − | 7.66166i | −0.612246 | − | 0.645228i | ||||
\(142\) | 0.0566786 | − | 0.124109i | 0.00475636 | − | 0.0104150i | ||||
\(143\) | 18.6234 | − | 5.46832i | 1.55737 | − | 0.457284i | ||||
\(144\) | −2.36712 | + | 1.84303i | −0.197260 | + | 0.153586i | ||||
\(145\) | −1.17042 | + | 1.01417i | −0.0971979 | + | 0.0842225i | ||||
\(146\) | −7.05240 | + | 1.01398i | −0.583661 | + | 0.0839177i | ||||
\(147\) | 17.0192 | + | 24.0231i | 1.40372 | + | 1.98139i | ||||
\(148\) | −7.58357 | − | 6.57120i | −0.623366 | − | 0.540150i | ||||
\(149\) | −16.3214 | − | 10.4891i | −1.33710 | − | 0.859304i | −0.340387 | − | 0.940285i | \(-0.610558\pi\) |
−0.996716 | + | 0.0809813i | \(0.974195\pi\) | |||||||
\(150\) | −1.63816 | + | 0.562531i | −0.133755 | + | 0.0459305i | ||||
\(151\) | −5.49774 | + | 6.34473i | −0.447400 | + | 0.516327i | −0.933988 | − | 0.357304i | \(-0.883696\pi\) |
0.486588 | + | 0.873632i | \(0.338241\pi\) | |||||||
\(152\) | 1.11109 | + | 0.326247i | 0.0901216 | + | 0.0264621i | ||||
\(153\) | 16.1797 | − | 6.38659i | 1.30805 | − | 0.516325i | ||||
\(154\) | 10.6805 | + | 12.3259i | 0.860658 | + | 0.993252i | ||||
\(155\) | −0.0315435 | − | 0.0690707i | −0.00253364 | − | 0.00554789i | ||||
\(156\) | −9.36521 | − | 3.77561i | −0.749817 | − | 0.302291i | ||||
\(157\) | 9.61878 | + | 4.39275i | 0.767662 | + | 0.350580i | 0.760452 | − | 0.649394i | \(-0.224978\pi\) |
0.00721050 | + | 0.999974i | \(0.497705\pi\) | |||||||
\(158\) | −0.929787 | + | 6.46681i | −0.0739699 | + | 0.514472i | ||||
\(159\) | 5.67710 | + | 0.555979i | 0.450223 | + | 0.0440920i | ||||
\(160\) | 1.00000i | 0.0790569i | ||||||||
\(161\) | −23.3727 | − | 2.38023i | −1.84202 | − | 0.187589i | ||||
\(162\) | −4.04633 | − | 8.03911i | −0.317910 | − | 0.631612i | ||||
\(163\) | −10.2795 | + | 6.60623i | −0.805153 | + | 0.517440i | −0.877293 | − | 0.479954i | \(-0.840653\pi\) |
0.0721409 | + | 0.997394i | \(0.477017\pi\) | |||||||
\(164\) | 6.80905 | + | 0.978994i | 0.531698 | + | 0.0764466i | ||||
\(165\) | 5.13192 | − | 2.62997i | 0.399520 | − | 0.204743i | ||||
\(166\) | 2.87239 | + | 9.78245i | 0.222940 | + | 0.759265i | ||||
\(167\) | 3.00432 | − | 1.37203i | 0.232481 | − | 0.106171i | −0.295768 | − | 0.955260i | \(-0.595576\pi\) |
0.528250 | + | 0.849089i | \(0.322848\pi\) | |||||||
\(168\) | −0.383193 | − | 8.47621i | −0.0295640 | − | 0.653954i | ||||
\(169\) | −2.98683 | − | 20.7739i | −0.229756 | − | 1.59799i | ||||
\(170\) | 1.63354 | − | 5.56332i | 0.125287 | − | 0.426687i | ||||
\(171\) | −1.60682 | + | 3.08007i | −0.122877 | + | 0.235539i | ||||
\(172\) | −2.04720 | + | 3.18551i | −0.156098 | + | 0.242893i | ||||
\(173\) | −0.829595 | + | 1.29088i | −0.0630729 | + | 0.0981434i | −0.871358 | − | 0.490649i | \(-0.836760\pi\) |
0.808285 | + | 0.588792i | \(0.200396\pi\) | |||||||
\(174\) | −2.63515 | + | 0.501265i | −0.199770 | + | 0.0380008i | ||||
\(175\) | 1.38014 | − | 4.70031i | 0.104328 | − | 0.355310i | ||||
\(176\) | −0.473814 | − | 3.29545i | −0.0357150 | − | 0.248404i | ||||
\(177\) | −4.24365 | + | 0.191847i | −0.318972 | + | 0.0144201i | ||||
\(178\) | 16.8094 | − | 7.67659i | 1.25992 | − | 0.575385i | ||||
\(179\) | 2.50918 | + | 8.54547i | 0.187545 | + | 0.638719i | 0.998558 | + | 0.0536904i | \(0.0170984\pi\) |
−0.811013 | + | 0.585028i | \(0.801083\pi\) | |||||||
\(180\) | −2.94300 | − | 0.582020i | −0.219358 | − | 0.0433812i | ||||
\(181\) | −6.81543 | − | 0.979911i | −0.506587 | − | 0.0728362i | −0.115717 | − | 0.993282i | \(-0.536917\pi\) |
−0.390870 | + | 0.920446i | \(0.627826\pi\) | |||||||
\(182\) | 24.0254 | − | 15.4402i | 1.78088 | − | 1.14450i | ||||
\(183\) | −12.2743 | + | 15.5305i | −0.907346 | + | 1.14805i | ||||
\(184\) | 3.75106 | + | 2.98823i | 0.276532 | + | 0.220296i | ||||
\(185\) | − | 10.0345i | − | 0.737752i | ||||||
\(186\) | 0.0128188 | − | 0.130893i | 0.000939921 | − | 0.00959753i | ||||
\(187\) | −2.74726 | + | 19.1076i | −0.200900 | + | 1.39729i | ||||
\(188\) | −5.54687 | − | 2.53317i | −0.404547 | − | 0.184750i | ||||
\(189\) | 25.1685 | + | 3.80559i | 1.83074 | + | 0.276816i | ||||
\(190\) | 0.481051 | + | 1.05335i | 0.0348991 | + | 0.0764184i | ||||
\(191\) | −1.06729 | − | 1.23171i | −0.0772261 | − | 0.0891237i | 0.715822 | − | 0.698283i | \(-0.246052\pi\) |
−0.793048 | + | 0.609159i | \(0.791507\pi\) | |||||||
\(192\) | −0.869657 | + | 1.49790i | −0.0627621 | + | 0.108101i | ||||
\(193\) | −16.5375 | − | 4.85585i | −1.19040 | − | 0.349532i | −0.374222 | − | 0.927339i | \(-0.622090\pi\) |
−0.816173 | + | 0.577807i | \(0.803909\pi\) | |||||||
\(194\) | 9.00391 | − | 10.3911i | 0.646443 | − | 0.746035i | ||||
\(195\) | −3.27949 | − | 9.55025i | −0.234849 | − | 0.683908i | ||||
\(196\) | 14.2994 | + | 9.18964i | 1.02138 | + | 0.656403i | ||||
\(197\) | 1.73164 | + | 1.50047i | 0.123374 | + | 0.106904i | 0.714363 | − | 0.699776i | \(-0.246717\pi\) |
−0.590989 | + | 0.806680i | \(0.701262\pi\) | |||||||
\(198\) | 9.97427 | + | 0.523581i | 0.708840 | + | 0.0372093i | ||||
\(199\) | 2.01184 | − | 0.289259i | 0.142616 | − | 0.0205050i | −0.0706372 | − | 0.997502i | \(-0.522503\pi\) |
0.213253 | + | 0.976997i | \(0.431594\pi\) | |||||||
\(200\) | −0.755750 | + | 0.654861i | −0.0534396 | + | 0.0463056i | ||||
\(201\) | −13.5417 | − | 3.31994i | −0.955157 | − | 0.234170i | ||||
\(202\) | −6.20689 | + | 1.82251i | −0.436715 | + | 0.128231i | ||||
\(203\) | 3.15159 | − | 6.90102i | 0.221198 | − | 0.484357i | ||||
\(204\) | 7.28506 | − | 6.91267i | 0.510056 | − | 0.483984i | ||||
\(205\) | 3.71911 | + | 5.78704i | 0.259754 | + | 0.404185i | ||||
\(206\) | −17.9280 | −1.24910 | ||||||||
\(207\) | −10.9776 | + | 9.30016i | −0.762994 | + | 0.646406i | ||||
\(208\) | −5.82988 | −0.404229 | ||||||||
\(209\) | −2.08437 | − | 3.24335i | −0.144179 | − | 0.224347i | ||||
\(210\) | 6.15496 | − | 5.84034i | 0.424732 | − | 0.403022i | ||||
\(211\) | −4.52663 | + | 9.91193i | −0.311626 | + | 0.682366i | −0.999036 | − | 0.0439042i | \(-0.986020\pi\) |
0.687410 | + | 0.726270i | \(0.258748\pi\) | |||||||
\(212\) | 3.15995 | − | 0.927845i | 0.217026 | − | 0.0637246i | ||||
\(213\) | 0.229521 | + | 0.0562703i | 0.0157265 | + | 0.00385558i | ||||
\(214\) | 7.79498 | − | 6.75439i | 0.532854 | − | 0.461721i | ||||
\(215\) | −3.74808 | + | 0.538893i | −0.255617 | + | 0.0367522i | ||||
\(216\) | −3.90216 | − | 3.43121i | −0.265508 | − | 0.233464i | ||||
\(217\) | 0.281119 | + | 0.243591i | 0.0190836 | + | 0.0165360i | ||||
\(218\) | −1.31027 | − | 0.842060i | −0.0887428 | − | 0.0570315i | ||||
\(219\) | −4.00799 | − | 11.6717i | −0.270835 | − | 0.788703i | ||||
\(220\) | 2.18025 | − | 2.51614i | 0.146992 | − | 0.169638i | ||||
\(221\) | 32.4335 | + | 9.52333i | 2.18171 | + | 0.640609i | ||||
\(222\) | 8.72657 | − | 15.0307i | 0.585689 | − | 1.00879i | ||||
\(223\) | −14.0160 | − | 16.1753i | −0.938579 | − | 1.08318i | −0.996394 | − | 0.0848500i | \(-0.972959\pi\) |
0.0578152 | − | 0.998327i | \(-0.481587\pi\) | |||||||
\(224\) | −2.03501 | − | 4.45605i | −0.135970 | − | 0.297733i | ||||
\(225\) | −1.48739 | − | 2.60531i | −0.0991596 | − | 0.173688i | ||||
\(226\) | −9.57941 | − | 4.37477i | −0.637213 | − | 0.291005i | ||||
\(227\) | 0.437069 | − | 3.03989i | 0.0290093 | − | 0.201764i | −0.970162 | − | 0.242456i | \(-0.922047\pi\) |
0.999172 | + | 0.0406916i | \(0.0129561\pi\) | |||||||
\(228\) | −0.195492 | + | 1.99617i | −0.0129468 | + | 0.132199i | ||||
\(229\) | − | 11.8517i | − | 0.783183i | −0.920139 | − | 0.391591i | \(-0.871925\pi\) | ||
0.920139 | − | 0.391591i | \(-0.128075\pi\) | |||||||
\(230\) | 0.198065 | + | 4.79174i | 0.0130600 | + | 0.315958i | ||||
\(231\) | −17.5161 | + | 22.1628i | −1.15247 | + | 1.45821i | ||||
\(232\) | −1.30284 | + | 0.837282i | −0.0855354 | + | 0.0549703i | ||||
\(233\) | −7.79717 | − | 1.12106i | −0.510809 | − | 0.0734433i | −0.117909 | − | 0.993024i | \(-0.537619\pi\) |
−0.392900 | + | 0.919581i | \(0.628528\pi\) | |||||||
\(234\) | 3.39310 | − | 17.1573i | 0.221814 | − | 1.12161i | ||||
\(235\) | −1.71798 | − | 5.85092i | −0.112069 | − | 0.381672i | ||||
\(236\) | −2.23094 | + | 1.01884i | −0.145222 | + | 0.0663205i | ||||
\(237\) | −11.3045 | + | 0.511054i | −0.734305 | + | 0.0331965i | ||||
\(238\) | 4.04229 | + | 28.1147i | 0.262023 | + | 1.82241i | ||||
\(239\) | −6.51727 | + | 22.1958i | −0.421567 | + | 1.43572i | 0.425849 | + | 0.904794i | \(0.359976\pi\) |
−0.847415 | + | 0.530930i | \(0.821843\pi\) | |||||||
\(240\) | −1.70154 | + | 0.323672i | −0.109834 | + | 0.0208929i | ||||
\(241\) | 10.4575 | − | 16.2722i | 0.673626 | − | 1.04818i | −0.321241 | − | 0.946997i | \(-0.604100\pi\) |
0.994868 | − | 0.101185i | \(-0.0322635\pi\) | |||||||
\(242\) | −0.0456660 | + | 0.0710576i | −0.00293552 | + | 0.00456776i | ||||
\(243\) | 12.3692 | − | 9.48702i | 0.793483 | − | 0.608593i | ||||
\(244\) | −3.21988 | + | 10.9659i | −0.206132 | + | 0.702021i | ||||
\(245\) | 2.41902 | + | 16.8247i | 0.154546 | + | 1.07489i | ||||
\(246\) | 0.538100 | + | 11.9027i | 0.0343080 | + | 0.758891i | ||||
\(247\) | −6.14093 | + | 2.80447i | −0.390738 | + | 0.178444i | ||||
\(248\) | −0.0213927 | − | 0.0728567i | −0.00135844 | − | 0.00462641i | ||||
\(249\) | −15.7155 | + | 8.05378i | −0.995930 | + | 0.510388i | ||||
\(250\) | −0.989821 | − | 0.142315i | −0.0626018 | − | 0.00900078i | ||||
\(251\) | 9.61375 | − | 6.17838i | 0.606814 | − | 0.389976i | −0.200847 | − | 0.979623i | \(-0.564369\pi\) |
0.807661 | + | 0.589647i | \(0.200733\pi\) | |||||||
\(252\) | 14.2986 | − | 3.39553i | 0.900726 | − | 0.213898i | ||||
\(253\) | −2.92310 | − | 15.6971i | −0.183774 | − | 0.986867i | ||||
\(254\) | 12.8701i | 0.807540i | ||||||||
\(255\) | 9.99495 | + | 0.978842i | 0.625908 | + | 0.0612974i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | −3.76268 | − | 1.71836i | −0.234710 | − | 0.107188i | 0.294589 | − | 0.955624i | \(-0.404817\pi\) |
−0.529298 | + | 0.848436i | \(0.677545\pi\) | |||||||
\(258\) | −6.08290 | − | 2.45234i | −0.378705 | − | 0.152676i | ||||
\(259\) | 20.4203 | + | 44.7143i | 1.26886 | + | 2.77841i | ||||
\(260\) | −3.81776 | − | 4.40593i | −0.236767 | − | 0.273244i | ||||
\(261\) | −1.70585 | − | 4.32156i | −0.105589 | − | 0.267498i | ||||
\(262\) | 12.2624 | + | 3.60057i | 0.757574 | + | 0.222444i | ||||
\(263\) | 4.44615 | − | 5.13113i | 0.274161 | − | 0.316399i | −0.601926 | − | 0.798552i | \(-0.705600\pi\) |
0.876087 | + | 0.482153i | \(0.160145\pi\) | |||||||
\(264\) | 5.45397 | − | 1.87286i | 0.335669 | − | 0.115266i | ||||
\(265\) | 2.77055 | + | 1.78052i | 0.170193 | + | 0.109377i | ||||
\(266\) | −4.28718 | − | 3.71486i | −0.262864 | − | 0.227773i | ||||
\(267\) | 18.5027 | + | 26.1171i | 1.13235 | + | 1.59834i | ||||
\(268\) | −7.96790 | + | 1.14561i | −0.486717 | + | 0.0699793i | ||||
\(269\) | 7.16937 | − | 6.21229i | 0.437124 | − | 0.378770i | −0.408316 | − | 0.912841i | \(-0.633884\pi\) |
0.845440 | + | 0.534071i | \(0.179338\pi\) | |||||||
\(270\) | 0.0377638 | − | 5.19602i | 0.00229823 | − | 0.316219i | ||||
\(271\) | −5.91719 | + | 1.73744i | −0.359444 | + | 0.105542i | −0.456468 | − | 0.889740i | \(-0.650886\pi\) |
0.0970242 | + | 0.995282i | \(0.469068\pi\) | |||||||
\(272\) | 2.40866 | − | 5.27422i | 0.146046 | − | 0.319797i | ||||
\(273\) | 34.0485 | + | 35.8826i | 2.06071 | + | 2.17172i | ||||
\(274\) | −5.72021 | − | 8.90082i | −0.345570 | − | 0.537718i | ||||
\(275\) | 3.32933 | 0.200766 | ||||||||
\(276\) | −3.87049 | + | 7.34978i | −0.232976 | + | 0.442405i | ||||
\(277\) | −2.47047 | −0.148436 | −0.0742180 | − | 0.997242i | \(-0.523646\pi\) | ||||
−0.0742180 | + | 0.997242i | \(0.523646\pi\) | |||||||
\(278\) | −10.8846 | − | 16.9367i | −0.652813 | − | 1.01580i | ||||
\(279\) | 0.226868 | − | 0.0205546i | 0.0135823 | − | 0.00123057i | ||||
\(280\) | 2.03501 | − | 4.45605i | 0.121615 | − | 0.266300i | ||||
\(281\) | −17.0094 | + | 4.99442i | −1.01470 | + | 0.297942i | −0.746474 | − | 0.665414i | \(-0.768255\pi\) |
−0.268224 | + | 0.963357i | \(0.586437\pi\) | |||||||
\(282\) | 2.51493 | − | 10.2581i | 0.149762 | − | 0.610863i | ||||
\(283\) | −4.41850 | + | 3.82865i | −0.262652 | + | 0.227590i | −0.776224 | − | 0.630457i | \(-0.782867\pi\) |
0.513572 | + | 0.858047i | \(0.328322\pi\) | |||||||
\(284\) | 0.135050 | − | 0.0194172i | 0.00801372 | − | 0.00115220i | ||||
\(285\) | −1.63662 | + | 1.15947i | −0.0969451 | + | 0.0686810i | ||||
\(286\) | 14.6688 | + | 12.7106i | 0.867385 | + | 0.751593i | ||||
\(287\) | −28.3492 | − | 18.2189i | −1.67340 | − | 1.07543i | ||||
\(288\) | −2.83022 | − | 0.994928i | −0.166772 | − | 0.0586267i | ||||
\(289\) | −10.8831 | + | 12.5598i | −0.640185 | + | 0.738813i | ||||
\(290\) | −1.48595 | − | 0.436315i | −0.0872581 | − | 0.0256213i | ||||
\(291\) | 20.5951 | + | 11.9572i | 1.20731 | + | 0.700944i | ||||
\(292\) | −4.66583 | − | 5.38466i | −0.273047 | − | 0.315113i | ||||
\(293\) | 2.43967 | + | 5.34213i | 0.142527 | + | 0.312090i | 0.967411 | − | 0.253212i | \(-0.0814869\pi\) |
−0.824884 | + | 0.565302i | \(0.808760\pi\) | |||||||
\(294\) | −11.0082 | + | 27.3054i | −0.642014 | + | 1.59248i | ||||
\(295\) | −2.23094 | − | 1.01884i | −0.129890 | − | 0.0593189i | ||||
\(296\) | 1.42806 | − | 9.93237i | 0.0830042 | − | 0.577307i | ||||
\(297\) | 2.33749 | + | 17.1411i | 0.135635 | + | 0.994626i | ||||
\(298\) | − | 19.4013i | − | 1.12389i | ||||||
\(299\) | −27.9353 | + | 1.15469i | −1.61554 | + | 0.0667777i | ||||
\(300\) | −1.35889 | − | 1.07398i | −0.0784553 | − | 0.0620061i | ||||
\(301\) | 15.6050 | − | 10.0287i | 0.899458 | − | 0.578046i | ||||
\(302\) | −8.30983 | − | 1.19477i | −0.478177 | − | 0.0687515i | ||||
\(303\) | −5.11007 | − | 9.97138i | −0.293566 | − | 0.572841i | ||||
\(304\) | 0.326247 | + | 1.11109i | 0.0187115 | + | 0.0637256i | ||||
\(305\) | −10.3961 | + | 4.74772i | −0.595277 | + | 0.271854i | ||||
\(306\) | 14.1201 | + | 10.1584i | 0.807195 | + | 0.580716i | ||||
\(307\) | 2.39718 | + | 16.6727i | 0.136814 | + | 0.951563i | 0.936381 | + | 0.350986i | \(0.114153\pi\) |
−0.799567 | + | 0.600577i | \(0.794938\pi\) | |||||||
\(308\) | −4.59493 | + | 15.6489i | −0.261821 | + | 0.891679i | ||||
\(309\) | −5.80277 | − | 30.5051i | −0.330108 | − | 1.73538i | ||||
\(310\) | 0.0410522 | − | 0.0638785i | 0.00233161 | − | 0.00362806i | ||||
\(311\) | −9.12245 | + | 14.1948i | −0.517287 | + | 0.804914i | −0.997383 | − | 0.0723019i | \(-0.976965\pi\) |
0.480096 | + | 0.877216i | \(0.340602\pi\) | |||||||
\(312\) | −1.88697 | − | 9.91977i | −0.106828 | − | 0.561596i | ||||
\(313\) | 5.38827 | − | 18.3508i | 0.304563 | − | 1.03725i | −0.654971 | − | 0.755654i | \(-0.727319\pi\) |
0.959534 | − | 0.281592i | \(-0.0908625\pi\) | |||||||
\(314\) | 1.50489 | + | 10.4667i | 0.0849258 | + | 0.590672i | ||||
\(315\) | 11.9298 | + | 8.58255i | 0.672165 | + | 0.483572i | ||||
\(316\) | −5.94291 | + | 2.71403i | −0.334315 | + | 0.152676i | ||||
\(317\) | −0.0495520 | − | 0.168759i | −0.00278312 | − | 0.00947843i | 0.958090 | − | 0.286468i | \(-0.0924813\pi\) |
−0.960873 | + | 0.276990i | \(0.910663\pi\) | |||||||
\(318\) | 2.60155 | + | 5.07646i | 0.145888 | + | 0.284674i | ||||
\(319\) | 5.10361 | + | 0.733788i | 0.285747 | + | 0.0410842i | ||||
\(320\) | −0.841254 | + | 0.540641i | −0.0470275 | + | 0.0302227i | ||||
\(321\) | 14.0159 | + | 11.0773i | 0.782290 | + | 0.618273i | ||||
\(322\) | −10.6338 | − | 20.9492i | −0.592600 | − | 1.16745i | ||||
\(323\) | − | 6.71431i | − | 0.373594i | ||||||
\(324\) | 4.57532 | − | 7.75026i | 0.254184 | − | 0.430570i | ||||
\(325\) | 0.829678 | − | 5.77054i | 0.0460223 | − | 0.320092i | ||||
\(326\) | −11.1150 | − | 5.07607i | −0.615605 | − | 0.281137i | ||||
\(327\) | 1.00870 | − | 2.50203i | 0.0557813 | − | 0.138363i | ||||
\(328\) | 2.85767 | + | 6.25742i | 0.157788 | + | 0.345508i | ||||
\(329\) | 19.5621 | + | 22.5759i | 1.07849 | + | 1.24465i | ||||
\(330\) | 4.98700 | + | 2.89538i | 0.274525 | + | 0.159385i | ||||
\(331\) | 11.1122 | + | 3.26284i | 0.610783 | + | 0.179342i | 0.572472 | − | 0.819924i | \(-0.305984\pi\) |
0.0383101 | + | 0.999266i | \(0.487803\pi\) | |||||||
\(332\) | −6.67659 | + | 7.70520i | −0.366425 | + | 0.422878i | ||||
\(333\) | 28.3998 | + | 9.98361i | 1.55630 | + | 0.547099i | ||||
\(334\) | 2.77848 | + | 1.78562i | 0.152032 | + | 0.0977049i | ||||
\(335\) | −6.08366 | − | 5.27152i | −0.332386 | − | 0.288014i | ||||
\(336\) | 6.92348 | − | 4.90495i | 0.377707 | − | 0.267587i | ||||
\(337\) | 4.55302 | − | 0.654626i | 0.248019 | − | 0.0356597i | −0.0171841 | − | 0.999852i | \(-0.505470\pi\) |
0.265203 | + | 0.964193i | \(0.414561\pi\) | |||||||
\(338\) | 15.8613 | − | 13.7439i | 0.862740 | − | 0.747568i | ||||
\(339\) | 4.34326 | − | 17.7157i | 0.235894 | − | 0.962187i | ||||
\(340\) | 5.56332 | − | 1.63354i | 0.301714 | − | 0.0885911i | ||||
\(341\) | −0.105019 | + | 0.229959i | −0.00568709 | + | 0.0124530i | ||||
\(342\) | −3.45983 | + | 0.313465i | −0.187086 | + | 0.0169503i | ||||
\(343\) | −26.4785 | − | 41.2013i | −1.42970 | − | 2.22466i | ||||
\(344\) | −3.78663 | −0.204161 | ||||||||
\(345\) | −8.08923 | + | 1.88797i | −0.435509 | + | 0.101645i | ||||
\(346\) | −1.53447 | −0.0824934 | ||||||||
\(347\) | 3.33102 | + | 5.18318i | 0.178819 | + | 0.278247i | 0.919079 | − | 0.394073i | \(-0.128934\pi\) |
−0.740260 | + | 0.672320i | \(0.765298\pi\) | |||||||
\(348\) | −1.84636 | − | 1.94582i | −0.0989753 | − | 0.104307i | ||||
\(349\) | 7.46343 | − | 16.3426i | 0.399508 | − | 0.874801i | −0.597812 | − | 0.801637i | \(-0.703963\pi\) |
0.997320 | − | 0.0731645i | \(-0.0233098\pi\) | |||||||
\(350\) | 4.70031 | − | 1.38014i | 0.251242 | − | 0.0737713i | ||||
\(351\) | 30.2921 | + | 0.220159i | 1.61687 | + | 0.0117512i | ||||
\(352\) | 2.51614 | − | 2.18025i | 0.134111 | − | 0.116208i | ||||
\(353\) | 10.8295 | − | 1.55704i | 0.576394 | − | 0.0828730i | 0.152048 | − | 0.988373i | \(-0.451413\pi\) |
0.424346 | + | 0.905500i | \(0.360504\pi\) | |||||||
\(354\) | −2.45568 | − | 3.46626i | −0.130518 | − | 0.184230i | ||||
\(355\) | 0.103113 | + | 0.0893481i | 0.00547268 | + | 0.00474211i | ||||
\(356\) | 15.5458 | + | 9.99068i | 0.823926 | + | 0.529505i | ||||
\(357\) | −46.5300 | + | 15.9781i | −2.46263 | + | 0.845649i | ||||
\(358\) | −5.83235 | + | 6.73089i | −0.308249 | + | 0.355738i | ||||
\(359\) | −6.42730 | − | 1.88722i | −0.339220 | − | 0.0996039i | 0.107686 | − | 0.994185i | \(-0.465656\pi\) |
−0.446906 | + | 0.894581i | \(0.647474\pi\) | |||||||
\(360\) | −1.10148 | − | 2.79047i | −0.0580531 | − | 0.147071i | ||||
\(361\) | −11.5642 | − | 13.3458i | −0.608642 | − | 0.702411i | ||||
\(362\) | −2.86035 | − | 6.26328i | −0.150336 | − | 0.329191i | ||||
\(363\) | −0.135688 | − | 0.0547031i | −0.00712178 | − | 0.00287117i | ||||
\(364\) | 25.9782 | + | 11.8639i | 1.36163 | + | 0.621836i | ||||
\(365\) | 1.01398 | − | 7.05240i | 0.0530742 | − | 0.369139i | ||||
\(366\) | −19.7011 | − | 1.92940i | −1.02979 | − | 0.100852i | ||||
\(367\) | − | 3.14108i | − | 0.163963i | −0.996634 | − | 0.0819816i | \(-0.973875\pi\) | ||
0.996634 | − | 0.0819816i | \(-0.0261249\pi\) | |||||||
\(368\) | −0.485887 | + | 4.77115i | −0.0253286 | + | 0.248714i | ||||
\(369\) | −20.0788 | + | 4.76818i | −1.04526 | + | 0.248221i | ||||
\(370\) | 8.44156 | − | 5.42506i | 0.438856 | − | 0.282036i | ||||
\(371\) | −15.9691 | − | 2.29601i | −0.829073 | − | 0.119203i | ||||
\(372\) | 0.117044 | − | 0.0599821i | 0.00606847 | − | 0.00310993i | ||||
\(373\) | 6.91810 | + | 23.5609i | 0.358206 | + | 1.21994i | 0.919755 | + | 0.392493i | \(0.128387\pi\) |
−0.561549 | + | 0.827443i | \(0.689794\pi\) | |||||||
\(374\) | −17.5596 | + | 8.01922i | −0.907987 | + | 0.414664i | ||||
\(375\) | −0.0782228 | − | 1.73028i | −0.00403941 | − | 0.0893515i | ||||
\(376\) | −0.867826 | − | 6.03586i | −0.0447547 | − | 0.311276i | ||||
\(377\) | 2.54366 | − | 8.66292i | 0.131005 | − | 0.446163i | ||||
\(378\) | 10.4057 | + | 23.2306i | 0.535210 | + | 1.19485i | ||||
\(379\) | −14.9462 | + | 23.2568i | −0.767736 | + | 1.19462i | 0.208524 | + | 0.978017i | \(0.433134\pi\) |
−0.976260 | + | 0.216603i | \(0.930502\pi\) | |||||||
\(380\) | −0.626063 | + | 0.974173i | −0.0321163 | + | 0.0499740i | ||||
\(381\) | −21.8989 | + | 4.16568i | −1.12192 | + | 0.213414i | ||||
\(382\) | 0.459165 | − | 1.56377i | 0.0234929 | − | 0.0800096i | ||||
\(383\) | 2.51842 | + | 17.5160i | 0.128685 | + | 0.895027i | 0.947223 | + | 0.320574i | \(0.103876\pi\) |
−0.818538 | + | 0.574453i | \(0.805215\pi\) | |||||||
\(384\) | −1.73028 | + | 0.0782228i | −0.0882982 | + | 0.00399179i | ||||
\(385\) | −14.8357 | + | 6.77523i | −0.756097 | + | 0.345298i | ||||
\(386\) | −4.85585 | − | 16.5375i | −0.247156 | − | 0.841737i | ||||
\(387\) | 2.20389 | − | 11.1440i | 0.112030 | − | 0.566484i | ||||
\(388\) | 13.6094 | + | 1.95674i | 0.690912 | + | 0.0993382i | ||||
\(389\) | −20.7460 | + | 13.3327i | −1.05187 | + | 0.675993i | −0.947894 | − | 0.318587i | \(-0.896792\pi\) |
−0.103972 | + | 0.994580i | \(0.533155\pi\) | |||||||
\(390\) | 6.26116 | − | 7.92214i | 0.317046 | − | 0.401153i | ||||
\(391\) | 10.4970 | − | 25.7498i | 0.530857 | − | 1.30222i | ||||
\(392\) | 16.9977i | 0.858513i | ||||||||
\(393\) | −2.15751 | + | 22.0304i | −0.108832 | + | 1.11128i | ||||
\(394\) | −0.326083 | + | 2.26796i | −0.0164278 | + | 0.114258i | ||||
\(395\) | −5.94291 | − | 2.71403i | −0.299020 | − | 0.136558i | ||||
\(396\) | 4.95203 | + | 8.67396i | 0.248849 | + | 0.435883i | ||||
\(397\) | 9.53510 | + | 20.8790i | 0.478553 | + | 1.04788i | 0.982859 | + | 0.184360i | \(0.0590211\pi\) |
−0.504306 | + | 0.863525i | \(0.668252\pi\) | |||||||
\(398\) | 1.33102 | + | 1.53608i | 0.0667182 | + | 0.0769969i | ||||
\(399\) | 4.93335 | − | 8.49720i | 0.246976 | − | 0.425392i | ||||
\(400\) | −0.959493 | − | 0.281733i | −0.0479746 | − | 0.0140866i | ||||
\(401\) | −5.85844 | + | 6.76100i | −0.292557 | + | 0.337628i | −0.882932 | − | 0.469500i | \(-0.844434\pi\) |
0.590376 | + | 0.807128i | \(0.298980\pi\) | |||||||
\(402\) | −4.52828 | − | 13.1869i | −0.225850 | − | 0.657702i | ||||
\(403\) | 0.372404 | + | 0.239329i | 0.0185508 | + | 0.0119219i | ||||
\(404\) | −4.88889 | − | 4.23625i | −0.243231 | − | 0.210761i | ||||
\(405\) | 8.85345 | − | 1.61755i | 0.439931 | − | 0.0803765i | ||||
\(406\) | 7.50939 | − | 1.07969i | 0.372685 | − | 0.0535840i | ||||
\(407\) | −25.2482 | + | 21.8777i | −1.25151 | + | 1.08444i | ||||
\(408\) | 9.75391 | + | 2.39131i | 0.482890 | + | 0.118387i | ||||
\(409\) | −11.1899 | + | 3.28564i | −0.553303 | + | 0.162464i | −0.546419 | − | 0.837512i | \(-0.684009\pi\) |
−0.00688382 | + | 0.999976i | \(0.502191\pi\) | |||||||
\(410\) | −2.85767 | + | 6.25742i | −0.141130 | + | 0.309032i | ||||
\(411\) | 13.2936 | − | 12.6141i | 0.655726 | − | 0.622208i | ||||
\(412\) | −9.69259 | − | 15.0820i | −0.477520 | − | 0.743035i | ||||
\(413\) | 12.0145 | 0.591196 | ||||||||
\(414\) | −13.7587 | − | 4.20687i | −0.676204 | − | 0.206756i | ||||
\(415\) | −10.1954 | −0.500474 | ||||||||
\(416\) | −3.15187 | − | 4.90441i | −0.154533 | − | 0.240458i | ||||
\(417\) | 25.2955 | − | 24.0025i | 1.23873 | − | 1.17541i | ||||
\(418\) | 1.60158 | − | 3.50697i | 0.0783358 | − | 0.171532i | ||||
\(419\) | 23.8529 | − | 7.00384i | 1.16529 | − | 0.342160i | 0.358804 | − | 0.933413i | \(-0.383185\pi\) |
0.806486 | + | 0.591253i | \(0.201367\pi\) | |||||||
\(420\) | 8.24083 | + | 2.02035i | 0.402111 | + | 0.0985832i | ||||
\(421\) | −17.5759 | + | 15.2296i | −0.856599 | + | 0.742247i | −0.967845 | − | 0.251545i | \(-0.919061\pi\) |
0.111246 | + | 0.993793i | \(0.464516\pi\) | |||||||
\(422\) | −10.7857 | + | 1.55075i | −0.525041 | + | 0.0754895i | ||||
\(423\) | 18.2686 | + | 0.958978i | 0.888251 | + | 0.0466271i | ||||
\(424\) | 2.48895 | + | 2.15669i | 0.120874 | + | 0.104738i | ||||
\(425\) | 4.87775 | + | 3.13474i | 0.236606 | + | 0.152057i | ||||
\(426\) | 0.0767509 | + | 0.223507i | 0.00371859 | + | 0.0108290i | ||||
\(427\) | 36.6637 | − | 42.3122i | 1.77428 | − | 2.04763i | ||||
\(428\) | 9.89644 | + | 2.90586i | 0.478363 | + | 0.140460i | ||||
\(429\) | −16.8797 | + | 29.0736i | −0.814960 | + | 1.40369i | ||||
\(430\) | −2.47971 | − | 2.86174i | −0.119582 | − | 0.138005i | ||||
\(431\) | 1.10799 | + | 2.42616i | 0.0533699 | + | 0.116864i | 0.934438 | − | 0.356125i | \(-0.115902\pi\) |
−0.881068 | + | 0.472989i | \(0.843175\pi\) | |||||||
\(432\) | 0.776850 | − | 5.13775i | 0.0373762 | − | 0.247190i | ||||
\(433\) | −14.0489 | − | 6.41593i | −0.675148 | − | 0.308330i | 0.0481755 | − | 0.998839i | \(-0.484659\pi\) |
−0.723324 | + | 0.690509i | \(0.757387\pi\) | |||||||
\(434\) | −0.0529374 | + | 0.368188i | −0.00254108 | + | 0.0176736i | ||||
\(435\) | 0.261447 | − | 2.66963i | 0.0125354 | − | 0.127999i | ||||
\(436\) | − | 1.55752i | − | 0.0745918i | ||||||
\(437\) | 1.78336 | + | 5.25946i | 0.0853096 | + | 0.251594i | ||||
\(438\) | 7.65201 | − | 9.68196i | 0.365627 | − | 0.462622i | ||||
\(439\) | 16.0963 | − | 10.3444i | 0.768233 | − | 0.493714i | −0.0968763 | − | 0.995296i | \(-0.530885\pi\) |
0.865110 | + | 0.501583i | \(0.167249\pi\) | |||||||
\(440\) | 3.29545 | + | 0.473814i | 0.157104 | + | 0.0225882i | ||||
\(441\) | −50.0242 | − | 9.89299i | −2.38210 | − | 0.471095i | ||||
\(442\) | 9.52333 | + | 32.4335i | 0.452979 | + | 1.54270i | ||||
\(443\) | 24.3091 | − | 11.1016i | 1.15496 | − | 0.527454i | 0.256517 | − | 0.966540i | \(-0.417425\pi\) |
0.898445 | + | 0.439086i | \(0.144698\pi\) | |||||||
\(444\) | 17.3625 | − | 0.784927i | 0.823990 | − | 0.0372510i | ||||
\(445\) | 2.62988 | + | 18.2912i | 0.124668 | + | 0.867088i | ||||
\(446\) | 6.02991 | − | 20.5360i | 0.285525 | − | 0.972408i | ||||
\(447\) | 33.0121 | − | 6.27965i | 1.56142 | − | 0.297017i | ||||
\(448\) | 2.64846 | − | 4.12108i | 0.125128 | − | 0.194703i | ||||
\(449\) | −10.5191 | + | 16.3680i | −0.496426 | + | 0.772455i | −0.995566 | − | 0.0940671i | \(-0.970013\pi\) |
0.499139 | + | 0.866522i | \(0.333650\pi\) | |||||||
\(450\) | 1.38758 | − | 2.65981i | 0.0654113 | − | 0.125385i | ||||
\(451\) | 6.45244 | − | 21.9750i | 0.303834 | − | 1.03476i | ||||
\(452\) | −1.49873 | − | 10.4239i | −0.0704943 | − | 0.490299i | ||||
\(453\) | −0.656703 | − | 14.5262i | −0.0308546 | − | 0.682502i | ||||
\(454\) | 2.79361 | − | 1.27580i | 0.131111 | − | 0.0598762i | ||||
\(455\) | 8.04602 | + | 27.4022i | 0.377203 | + | 1.28464i | ||||
\(456\) | −1.78497 | + | 0.914751i | −0.0835890 | + | 0.0428371i | ||||
\(457\) | 23.0420 | + | 3.31294i | 1.07786 | + | 0.154973i | 0.658300 | − | 0.752756i | \(-0.271276\pi\) |
0.419558 | + | 0.907728i | \(0.362185\pi\) | |||||||
\(458\) | 9.97029 | − | 6.40752i | 0.465881 | − | 0.299404i | ||||
\(459\) | −12.7146 | + | 27.3140i | −0.593466 | + | 1.27491i | ||||
\(460\) | −3.92399 | + | 2.75723i | −0.182957 | + | 0.128557i | ||||
\(461\) | 24.4776i | 1.14003i | 0.821633 | + | 0.570017i | \(0.193063\pi\) | ||||
−0.821633 | + | 0.570017i | \(0.806937\pi\) | |||||||
\(462\) | −28.1145 | − | 2.75335i | −1.30800 | − | 0.128098i | ||||
\(463\) | −1.85526 | + | 12.9036i | −0.0862211 | + | 0.599681i | 0.900204 | + | 0.435469i | \(0.143417\pi\) |
−0.986425 | + | 0.164212i | \(0.947492\pi\) | |||||||
\(464\) | −1.40873 | − | 0.643347i | −0.0653988 | − | 0.0298666i | ||||
\(465\) | 0.121979 | + | 0.0491763i | 0.00565665 | + | 0.00228050i | ||||
\(466\) | −3.27237 | − | 7.16549i | −0.151590 | − | 0.331935i | ||||
\(467\) | −4.93693 | − | 5.69752i | −0.228454 | − | 0.263650i | 0.629937 | − | 0.776646i | \(-0.283081\pi\) |
−0.858391 | + | 0.512997i | \(0.828535\pi\) | |||||||
\(468\) | 16.2681 | − | 6.42149i | 0.751994 | − | 0.296834i | ||||
\(469\) | 37.8367 | + | 11.1099i | 1.74714 | + | 0.513006i | ||||
\(470\) | 3.99329 | − | 4.60851i | 0.184197 | − | 0.212575i | ||||
\(471\) | −17.3225 | + | 5.94841i | −0.798177 | + | 0.274088i | ||||
\(472\) | −2.06324 | − | 1.32596i | −0.0949681 | − | 0.0610323i | ||||
\(473\) | 9.52769 | + | 8.25579i | 0.438084 | + | 0.379602i | ||||
\(474\) | −6.54159 | − | 9.23363i | −0.300465 | − | 0.424115i | ||||
\(475\) | −1.14621 | + | 0.164801i | −0.0525919 | + | 0.00756158i | ||||
\(476\) | −21.4662 | + | 18.6006i | −0.983902 | + | 0.852556i | ||||
\(477\) | −7.79575 | + | 6.06975i | −0.356943 | + | 0.277915i | ||||
\(478\) | −22.1958 | + | 6.51727i | −1.01521 | + | 0.298093i | ||||
\(479\) | 12.3761 | − | 27.0998i | 0.565477 | − | 1.23822i | −0.383693 | − | 0.923461i | \(-0.625348\pi\) |
0.949171 | − | 0.314762i | \(-0.101925\pi\) | |||||||
\(480\) | −1.19221 | − | 1.25644i | −0.0544168 | − | 0.0573482i | ||||
\(481\) | 31.6275 | + | 49.2133i | 1.44209 | + | 2.24393i | ||||
\(482\) | 19.3428 | 0.881039 | ||||||||
\(483\) | 32.2040 | − | 24.8745i | 1.46533 | − | 1.13183i | ||||
\(484\) | −0.0844663 | −0.00383938 | ||||||||
\(485\) | 7.43346 | + | 11.5667i | 0.337536 | + | 0.525216i | ||||
\(486\) | 14.6683 | + | 5.27654i | 0.665366 | + | 0.239349i | ||||
\(487\) | 1.92969 | − | 4.22543i | 0.0874427 | − | 0.191473i | −0.860859 | − | 0.508844i | \(-0.830073\pi\) |
0.948301 | + | 0.317371i | \(0.102800\pi\) | |||||||
\(488\) | −10.9659 | + | 3.21988i | −0.496404 | + | 0.145757i | ||||
\(489\) | 5.03951 | − | 20.5556i | 0.227894 | − | 0.929559i | ||||
\(490\) | −12.8460 | + | 11.1311i | −0.580323 | + | 0.502853i | ||||
\(491\) | −21.2893 | + | 3.06093i | −0.960770 | + | 0.138138i | −0.604816 | − | 0.796365i | \(-0.706753\pi\) |
−0.355955 | + | 0.934503i | \(0.615844\pi\) | |||||||
\(492\) | −9.72231 | + | 6.88779i | −0.438315 | + | 0.310525i | ||||
\(493\) | 6.78631 | + | 5.88037i | 0.305640 | + | 0.264838i | ||||
\(494\) | −5.67931 | − | 3.64987i | −0.255524 | − | 0.164215i | ||||
\(495\) | −3.31245 | + | 9.42273i | −0.148884 | + | 0.423520i | ||||
\(496\) | 0.0497252 | − | 0.0573860i | 0.00223273 | − | 0.00257671i | ||||
\(497\) | −0.641303 | − | 0.188303i | −0.0287664 | − | 0.00844656i | ||||
\(498\) | −15.2717 | − | 8.86653i | −0.684342 | − | 0.397319i | ||||
\(499\) | −27.5809 | − | 31.8300i | −1.23469 | − | 1.42491i | −0.869469 | − | 0.493987i | \(-0.835539\pi\) |
−0.365220 | − | 0.930921i | \(-0.619006\pi\) | |||||||
\(500\) | −0.415415 | − | 0.909632i | −0.0185779 | − | 0.0406800i | ||||
\(501\) | −2.13899 | + | 5.30565i | −0.0955631 | + | 0.237039i | ||||
\(502\) | 10.3952 | + | 4.74731i | 0.463959 | + | 0.211883i | ||||
\(503\) | −5.45635 | + | 37.9498i | −0.243287 | + | 1.69210i | 0.392116 | + | 0.919916i | \(0.371743\pi\) |
−0.635403 | + | 0.772181i | \(0.719166\pi\) | |||||||
\(504\) | 10.5869 | + | 10.1930i | 0.471578 | + | 0.454031i | ||||
\(505\) | − | 6.46893i | − | 0.287864i | ||||||
\(506\) | 11.6249 | − | 10.9456i | 0.516789 | − | 0.486589i | ||||
\(507\) | 28.5196 | + | 22.5401i | 1.26660 | + | 1.00104i | ||||
\(508\) | −10.8270 | + | 6.95808i | −0.480370 | + | 0.308715i | ||||
\(509\) | 9.98240 | + | 1.43525i | 0.442462 | + | 0.0636165i | 0.359946 | − | 0.932973i | \(-0.382795\pi\) |
0.0825165 | + | 0.996590i | \(0.473704\pi\) | |||||||
\(510\) | 4.58022 | + | 8.93748i | 0.202816 | + | 0.395758i | ||||
\(511\) | 9.83336 | + | 33.4893i | 0.435002 | + | 1.48148i | ||||
\(512\) | −0.909632 | + | 0.415415i | −0.0402004 | + | 0.0183589i | ||||
\(513\) | −1.65322 | − | 5.78558i | −0.0729916 | − | 0.255440i | ||||
\(514\) | −0.588684 | − | 4.09438i | −0.0259657 | − | 0.180596i | ||||
\(515\) | 5.05089 | − | 17.2018i | 0.222569 | − | 0.758000i | ||||
\(516\) | −1.22562 | − | 6.44309i | −0.0539551 | − | 0.283641i | ||||
\(517\) | −10.9761 | + | 17.0792i | −0.482729 | + | 0.751141i | ||||
\(518\) | −26.5760 | + | 41.3530i | −1.16768 | + | 1.81695i | ||||
\(519\) | −0.496663 | − | 2.61095i | −0.0218011 | − | 0.114608i | ||||
\(520\) | 1.64247 | − | 5.59373i | 0.0720269 | − | 0.245301i | ||||
\(521\) | −5.46189 | − | 37.9883i | −0.239290 | − | 1.66430i | −0.655626 | − | 0.755086i | \(-0.727595\pi\) |
0.416336 | − | 0.909211i | \(-0.363314\pi\) | |||||||
\(522\) | 2.71328 | − | 3.77146i | 0.118757 | − | 0.165072i | ||||
\(523\) | −37.8416 | + | 17.2817i | −1.65470 | + | 0.755674i | −1.00000 | 0.000217648i | \(-0.999931\pi\) | |
−0.654696 | + | 0.755892i | \(0.727203\pi\) | |||||||
\(524\) | 3.60057 | + | 12.2624i | 0.157291 | + | 0.535685i | ||||
\(525\) | 3.86971 | + | 7.55105i | 0.168888 | + | 0.329555i | ||||
\(526\) | 6.72035 | + | 0.966241i | 0.293021 | + | 0.0421301i | ||||
\(527\) | −0.370380 | + | 0.238029i | −0.0161340 | + | 0.0103687i | ||||
\(528\) | 4.52419 | + | 3.57563i | 0.196890 | + | 0.155609i | ||||
\(529\) | −1.38324 | + | 22.9584i | −0.0601410 | + | 0.998190i | ||||
\(530\) | 3.29335i | 0.143054i | ||||||||
\(531\) | 5.10315 | − | 5.30037i | 0.221458 | − | 0.230016i | ||||
\(532\) | 0.807317 | − | 5.61501i | 0.0350016 | − | 0.243442i | ||||
\(533\) | −36.4800 | − | 16.6599i | −1.58012 | − | 0.721619i | ||||
\(534\) | −11.9678 | + | 29.6855i | −0.517897 | + | 1.28462i | ||||
\(535\) | 4.28469 | + | 9.38216i | 0.185243 | + | 0.405626i | ||||
\(536\) | −5.27152 | − | 6.08366i | −0.227695 | − | 0.262774i | ||||
\(537\) | −13.3406 | − | 7.74537i | −0.575691 | − | 0.334237i | ||||
\(538\) | 9.10216 | + | 2.67264i | 0.392422 | + | 0.115226i | ||||
\(539\) | 37.0592 | − | 42.7686i | 1.59625 | − | 1.84217i | ||||
\(540\) | 4.39158 | − | 2.77741i | 0.188984 | − | 0.119521i | ||||
\(541\) | −4.25568 | − | 2.73496i | −0.182966 | − | 0.117585i | 0.445952 | − | 0.895057i | \(-0.352865\pi\) |
−0.628917 | + | 0.777472i | \(0.716502\pi\) | |||||||
\(542\) | −4.66071 | − | 4.03853i | −0.200195 | − | 0.173470i | ||||
\(543\) | 9.73141 | − | 6.89424i | 0.417615 | − | 0.295860i | ||||
\(544\) | 5.73917 | − | 0.825169i | 0.246065 | − | 0.0353788i | ||||
\(545\) | 1.17710 | − | 1.01996i | 0.0504213 | − | 0.0436903i | ||||
\(546\) | −11.7784 | + | 48.0430i | −0.504070 | + | 2.05605i | ||||
\(547\) | −18.4259 | + | 5.41033i | −0.787834 | + | 0.231329i | −0.650812 | − | 0.759239i | \(-0.725571\pi\) |
−0.137022 | + | 0.990568i | \(0.543753\pi\) | |||||||
\(548\) | 4.39527 | − | 9.62429i | 0.187756 | − | 0.411129i | ||||
\(549\) | −3.09374 | − | 34.1467i | −0.132038 | − | 1.45735i | ||||
\(550\) | 1.79997 | + | 2.80081i | 0.0767511 | + | 0.119427i | ||||
\(551\) | −1.79338 | −0.0764005 | ||||||||
\(552\) | −8.27558 | + | 0.717532i | −0.352232 | + | 0.0305402i | ||||
\(553\) | 32.0050 | 1.36099 | ||||||||
\(554\) | −1.33564 | − | 2.07829i | −0.0567458 | − | 0.0882981i | ||||
\(555\) | 11.9633 | + | 12.6077i | 0.507812 | + | 0.535168i | ||||
\(556\) | 8.36344 | − | 18.3134i | 0.354689 | − | 0.776660i | ||||
\(557\) | −15.5246 | + | 4.55843i | −0.657798 | + | 0.193147i | −0.593563 | − | 0.804788i | \(-0.702279\pi\) |
−0.0642356 | + | 0.997935i | \(0.520461\pi\) | |||||||
\(558\) | 0.139946 | + | 0.179741i | 0.00592438 | + | 0.00760905i | ||||
\(559\) | 16.6836 | − | 14.4564i | 0.705641 | − | 0.611441i | ||||
\(560\) | 4.84888 | − | 0.697164i | 0.204903 | − | 0.0294605i | ||||
\(561\) | −19.3286 | − | 27.2828i | −0.816053 | − | 1.15188i | ||||
\(562\) | −13.3976 | − | 11.6091i | −0.565142 | − | 0.489699i | ||||
\(563\) | −19.9942 | − | 12.8495i | −0.842656 | − | 0.541542i | 0.0466201 | − | 0.998913i | \(-0.485155\pi\) |
−0.889276 | + | 0.457370i | \(0.848791\pi\) | |||||||
\(564\) | 9.98936 | − | 3.43028i | 0.420628 | − | 0.144441i | ||||
\(565\) | 6.89640 | − | 7.95886i | 0.290134 | − | 0.334832i | ||||
\(566\) | −5.60968 | − | 1.64715i | −0.235793 | − | 0.0692350i | ||||
\(567\) | −36.1597 | + | 25.2247i | −1.51857 | + | 1.05934i | ||||
\(568\) | 0.0893481 | + | 0.103113i | 0.00374896 | + | 0.00432654i | ||||
\(569\) | −15.6152 | − | 34.1925i | −0.654623 | − | 1.43342i | −0.887449 | − | 0.460905i | \(-0.847525\pi\) |
0.232827 | − | 0.972518i | \(-0.425202\pi\) | |||||||
\(570\) | −1.86023 | − | 0.749958i | −0.0779165 | − | 0.0314123i | ||||
\(571\) | −7.74485 | − | 3.53695i | −0.324112 | − | 0.148017i | 0.246713 | − | 0.969088i | \(-0.420649\pi\) |
−0.570825 | + | 0.821072i | \(0.693377\pi\) | |||||||
\(572\) | −2.76228 | + | 19.2120i | −0.115497 | + | 0.803296i | ||||
\(573\) | 2.80944 | + | 0.275139i | 0.117366 | + | 0.0114941i | ||||
\(574\) | − | 33.6988i | − | 1.40656i | ||||||
\(575\) | −4.65344 | − | 1.15995i | −0.194062 | − | 0.0483731i | ||||
\(576\) | −0.693143 | − | 2.91883i | −0.0288810 | − | 0.121618i | ||||
\(577\) | 30.4170 | − | 19.5478i | 1.26627 | − | 0.813785i | 0.277145 | − | 0.960828i | \(-0.410612\pi\) |
0.989130 | + | 0.147043i | \(0.0469755\pi\) | |||||||
\(578\) | −16.4499 | − | 2.36513i | −0.684224 | − | 0.0983766i | ||||
\(579\) | 26.5675 | − | 13.6151i | 1.10411 | − | 0.565826i | ||||
\(580\) | −0.436315 | − | 1.48595i | −0.0181170 | − | 0.0617008i | ||||
\(581\) | 45.4314 | − | 20.7478i | 1.88481 | − | 0.860765i | ||||
\(582\) | 1.07551 | + | 23.7903i | 0.0445814 | + | 0.986138i | ||||
\(583\) | −1.56044 | − | 10.8531i | −0.0646266 | − | 0.449488i | ||||
\(584\) | 2.00732 | − | 6.83631i | 0.0830636 | − | 0.282889i | ||||
\(585\) | 15.5064 | + | 8.08944i | 0.641110 | + | 0.334457i | ||||
\(586\) | −3.17510 | + | 4.94055i | −0.131162 | + | 0.204092i | ||||
\(587\) | 7.66289 | − | 11.9237i | 0.316281 | − | 0.492143i | −0.646320 | − | 0.763067i | \(-0.723693\pi\) |
0.962601 | + | 0.270924i | \(0.0873291\pi\) | |||||||
\(588\) | −28.9222 | + | 5.50167i | −1.19273 | + | 0.226885i | ||||
\(589\) | 0.0247727 | − | 0.0843682i | 0.00102074 | − | 0.00347633i | ||||
\(590\) | −0.349037 | − | 2.42761i | −0.0143696 | − | 0.0999431i | ||||
\(591\) | −3.96457 | + | 0.179230i | −0.163080 | + | 0.00737256i | ||||
\(592\) | 9.12771 | − | 4.16848i | 0.375146 | − | 0.171324i | ||||
\(593\) | −4.66749 | − | 15.8960i | −0.191671 | − | 0.652771i | −0.998110 | − | 0.0614540i | \(-0.980426\pi\) |
0.806439 | − | 0.591317i | \(-0.201392\pi\) | |||||||
\(594\) | −13.1563 | + | 11.2336i | −0.539808 | + | 0.460920i | ||||
\(595\) | −28.1147 | − | 4.04229i | −1.15259 | − | 0.165718i | ||||
\(596\) | 16.3214 | − | 10.4891i | 0.668552 | − | 0.429652i | ||||
\(597\) | −2.18289 | + | 2.76198i | −0.0893398 | + | 0.113040i | ||||
\(598\) | −16.0743 | − | 22.8764i | −0.657328 | − | 0.935484i | ||||
\(599\) | − | 0.452727i | − | 0.0184979i | −0.999957 | − | 0.00924896i | \(-0.997056\pi\) | ||
0.999957 | − | 0.00924896i | \(-0.00294408\pi\) | |||||||
\(600\) | 0.168818 | − | 1.72380i | 0.00689198 | − | 0.0703740i | ||||
\(601\) | −1.63673 | + | 11.3837i | −0.0667638 | + | 0.464352i | 0.928824 | + | 0.370520i | \(0.120821\pi\) |
−0.995588 | + | 0.0938317i | \(0.970088\pi\) | |||||||
\(602\) | 16.8734 | + | 7.70583i | 0.687709 | + | 0.314066i | ||||
\(603\) | 20.9723 | − | 11.9733i | 0.854060 | − | 0.487590i | ||||
\(604\) | −3.48753 | − | 7.63662i | −0.141906 | − | 0.310730i | ||||
\(605\) | −0.0553137 | − | 0.0638354i | −0.00224882 | − | 0.00259528i | ||||
\(606\) | 5.62575 | − | 9.68980i | 0.228530 | − | 0.393621i | ||||
\(607\) | −11.6500 | − | 3.42076i | −0.472861 | − | 0.138844i | 0.0366151 | − | 0.999329i | \(-0.488342\pi\) |
−0.509476 | + | 0.860485i | \(0.670161\pi\) | |||||||
\(608\) | −0.758330 | + | 0.875159i | −0.0307543 | + | 0.0354924i | ||||
\(609\) | 4.26771 | + | 12.4281i | 0.172936 | + | 0.503610i | ||||
\(610\) | −9.61457 | − | 6.17891i | −0.389283 | − | 0.250177i | ||||
\(611\) | 26.8670 | + | 23.2804i | 1.08692 | + | 0.941825i | ||||
\(612\) | −0.911841 | + | 17.3707i | −0.0368590 | + | 0.702167i | ||||
\(613\) | 41.9749 | − | 6.03508i | 1.69535 | − | 0.243755i | 0.774194 | − | 0.632948i | \(-0.218155\pi\) |
0.921156 | + | 0.389194i | \(0.127246\pi\) | |||||||
\(614\) | −12.7300 | + | 11.0306i | −0.513740 | + | 0.445158i | ||||
\(615\) | −11.5722 | − | 2.83709i | −0.466636 | − | 0.114402i | ||||
\(616\) | −15.6489 | + | 4.59493i | −0.630512 | + | 0.185135i | ||||
\(617\) | −4.69795 | + | 10.2871i | −0.189132 | + | 0.414142i | −0.980316 | − | 0.197437i | \(-0.936738\pi\) |
0.791183 | + | 0.611579i | \(0.209465\pi\) | |||||||
\(618\) | 22.5253 | − | 21.3739i | 0.906102 | − | 0.859786i | ||||
\(619\) | −2.49418 | − | 3.88102i | −0.100250 | − | 0.155991i | 0.787505 | − | 0.616308i | \(-0.211372\pi\) |
−0.887755 | + | 0.460317i | \(0.847736\pi\) | |||||||
\(620\) | 0.0759325 | 0.00304952 | ||||||||
\(621\) | 2.70485 | − | 24.7726i | 0.108542 | − | 0.994092i | ||||
\(622\) | −16.8734 | −0.676562 | ||||||||
\(623\) | −48.9418 | − | 76.1549i | −1.96081 | − | 3.05108i | ||||
\(624\) | 7.32487 | − | 6.95045i | 0.293229 | − | 0.278241i | ||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | 18.3508 | − | 5.38827i | 0.733444 | − | 0.215358i | ||||
\(627\) | 6.48564 | + | 1.59004i | 0.259011 | + | 0.0635003i | ||||
\(628\) | −7.99157 | + | 6.92474i | −0.318898 | + | 0.276327i | ||||
\(629\) | −57.5898 | + | 8.28016i | −2.29625 | + | 0.330152i | ||||
\(630\) | −0.770391 | + | 14.6760i | −0.0306931 | + | 0.584707i | ||||
\(631\) | 2.98801 | + | 2.58913i | 0.118951 | + | 0.103071i | 0.712305 | − | 0.701870i | \(-0.247651\pi\) |
−0.593354 | + | 0.804941i | \(0.702197\pi\) | |||||||
\(632\) | −5.49617 | − | 3.53217i | −0.218626 | − | 0.140502i | ||||
\(633\) | −6.12970 | − | 17.8504i | −0.243634 | − | 0.709490i | ||||
\(634\) | 0.115179 | − | 0.132924i | 0.00457434 | − | 0.00527907i | ||||
\(635\) | −12.3487 | − | 3.62592i | −0.490045 | − | 0.143890i | ||||
\(636\) | −2.86409 | + | 4.93311i | −0.113568 | + | 0.195610i | ||||
\(637\) | −64.8930 | − | 74.8906i | −2.57116 | − | 2.96727i | ||||
\(638\) | 2.14192 | + | 4.69014i | 0.0847993 | + | 0.185685i | ||||
\(639\) | −0.355465 | + | 0.202938i | −0.0140620 | + | 0.00802809i | ||||
\(640\) | −0.909632 | − | 0.415415i | −0.0359564 | − | 0.0164207i | ||||
\(641\) | 4.44630 | − | 30.9247i | 0.175618 | − | 1.22145i | −0.691138 | − | 0.722722i | \(-0.742891\pi\) |
0.866757 | − | 0.498731i | \(-0.166200\pi\) | |||||||
\(642\) | −1.74123 | + | 17.7797i | −0.0687210 | + | 0.701710i | ||||
\(643\) | 17.6159i | 0.694703i | 0.937735 | + | 0.347351i | \(0.112919\pi\) | ||||
−0.937735 | + | 0.347351i | \(0.887081\pi\) | |||||||
\(644\) | 11.8745 | − | 20.2717i | 0.467920 | − | 0.798818i | ||||
\(645\) | 4.06675 | − | 5.14559i | 0.160128 | − | 0.202608i | ||||
\(646\) | 5.64844 | − | 3.63003i | 0.222235 | − | 0.142822i | ||||
\(647\) | −36.8500 | − | 5.29823i | −1.44872 | − | 0.208295i | −0.627373 | − | 0.778719i | \(-0.715870\pi\) |
−0.821350 | + | 0.570424i | \(0.806779\pi\) | |||||||
\(648\) | 8.99353 | − | 0.341105i | 0.353299 | − | 0.0133999i | ||||
\(649\) | 2.30047 | + | 7.83468i | 0.0903013 | + | 0.307538i | ||||
\(650\) | 5.30304 | − | 2.42182i | 0.208002 | − | 0.0949915i | ||||
\(651\) | −0.643621 | + | 0.0290968i | −0.0252255 | + | 0.00114040i | ||||
\(652\) | −1.73898 | − | 12.0949i | −0.0681038 | − | 0.473672i | ||||
\(653\) | −2.00598 | + | 6.83173i | −0.0785000 | + | 0.267346i | −0.989386 | − | 0.145312i | \(-0.953581\pi\) |
0.910886 | + | 0.412658i | \(0.135400\pi\) | |||||||
\(654\) | 2.65019 | − | 0.504126i | 0.103630 | − | 0.0197129i | ||||
\(655\) | −6.90943 | + | 10.7513i | −0.269974 | + | 0.420088i | ||||
\(656\) | −3.71911 | + | 5.78704i | −0.145207 | + | 0.225946i | ||||
\(657\) | 18.9510 | + | 9.88642i | 0.739348 | + | 0.385706i | ||||
\(658\) | −8.41597 | + | 28.6621i | −0.328089 | + | 1.11737i | ||||
\(659\) | −6.06757 | − | 42.2009i | −0.236359 | − | 1.64391i | −0.669662 | − | 0.742666i | \(-0.733561\pi\) |
0.433303 | − | 0.901248i | \(-0.357348\pi\) | |||||||
\(660\) | 0.260430 | + | 5.76069i | 0.0101372 | + | 0.224235i | ||||
\(661\) | 10.2077 | − | 4.66170i | 0.397033 | − | 0.181319i | −0.206885 | − | 0.978365i | \(-0.566333\pi\) |
0.603918 | + | 0.797046i | \(0.293605\pi\) | |||||||
\(662\) | 3.26284 | + | 11.1122i | 0.126814 | + | 0.431889i | ||||
\(663\) | −52.1044 | + | 26.7021i | −2.02357 | + | 1.03702i | ||||
\(664\) | −10.0917 | − | 1.45096i | −0.391632 | − | 0.0563082i | ||||
\(665\) | 4.77222 | − | 3.06692i | 0.185059 | − | 0.118930i | ||||
\(666\) | 6.95535 | + | 29.2890i | 0.269514 | + | 1.13493i | ||||
\(667\) | −6.87771 | − | 2.80373i | −0.266306 | − | 0.108561i | ||||
\(668\) | 3.30279i | 0.127789i | ||||||||
\(669\) | 36.8945 | + | 3.61322i | 1.42642 | + | 0.139695i | ||||
\(670\) | 1.14561 | − | 7.96790i | 0.0442588 | − | 0.307827i | ||||
\(671\) | 34.6120 | + | 15.8068i | 1.33618 | + | 0.610213i | ||||
\(672\) | 7.86942 | + | 3.17258i | 0.303569 | + | 0.122385i | ||||
\(673\) | 0.192056 | + | 0.420545i | 0.00740323 | + | 0.0162108i | 0.913297 | − | 0.407293i | \(-0.133527\pi\) |
−0.905894 | + | 0.423504i | \(0.860800\pi\) | |||||||
\(674\) | 3.01225 | + | 3.47633i | 0.116028 | + | 0.133903i | ||||
\(675\) | 4.97490 | + | 1.50012i | 0.191484 | + | 0.0577397i | ||||
\(676\) | 20.1373 | + | 5.91285i | 0.774513 | + | 0.227417i | ||||
\(677\) | 0.961607 | − | 1.10975i | 0.0369575 | − | 0.0426513i | −0.736970 | − | 0.675926i | \(-0.763744\pi\) |
0.773927 | + | 0.633274i | \(0.218290\pi\) | |||||||
\(678\) | 17.2516 | − | 5.92407i | 0.662543 | − | 0.227512i | ||||
\(679\) | −56.6622 | − | 36.4146i | −2.17450 | − | 1.39746i | ||||
\(680\) | 4.38198 | + | 3.79701i | 0.168041 | + | 0.145609i | ||||
\(681\) | 3.07504 | + | 4.34050i | 0.117836 | + | 0.166328i | ||||
\(682\) | −0.250232 | + | 0.0359779i | −0.00958186 | + | 0.00137766i | ||||
\(683\) | −13.5967 | + | 11.7816i | −0.520265 | + | 0.450812i | −0.874978 | − | 0.484163i | \(-0.839124\pi\) |
0.354713 | + | 0.934975i | \(0.384579\pi\) | |||||||
\(684\) | −2.13423 | − | 2.74112i | −0.0816043 | − | 0.104809i | ||||
\(685\) | 10.1518 | − | 2.98085i | 0.387882 | − | 0.113892i | ||||
\(686\) | 20.3454 | − | 44.5502i | 0.776791 | − | 1.70093i | ||||
\(687\) | 14.1297 | + | 14.8909i | 0.539083 | + | 0.568124i | ||||
\(688\) | −2.04720 | − | 3.18551i | −0.0780489 | − | 0.121447i | ||||
\(689\) | −19.1998 | −0.731456 | ||||||||
\(690\) | −5.96162 | − | 5.78438i | −0.226955 | − | 0.220208i | ||||
\(691\) | 34.0057 | 1.29364 | 0.646818 | − | 0.762644i | \(-0.276099\pi\) | ||||
0.646818 | + | 0.762644i | \(0.276099\pi\) | |||||||
\(692\) | −0.829595 | − | 1.29088i | −0.0315365 | − | 0.0490717i | ||||
\(693\) | −4.41492 | − | 48.7291i | −0.167709 | − | 1.85106i | ||||
\(694\) | −2.55948 | + | 5.60447i | −0.0971564 | + | 0.212743i | ||||
\(695\) | 19.3172 | − | 5.67205i | 0.732744 | − | 0.215153i | ||||
\(696\) | 0.638713 | − | 2.60525i | 0.0242104 | − | 0.0987517i | ||||
\(697\) | 30.1440 | − | 26.1199i | 1.14178 | − | 0.989361i | ||||
\(698\) | 17.7833 | − | 2.55686i | 0.673109 | − | 0.0967785i | ||||
\(699\) | 11.1332 | − | 7.88733i | 0.421096 | − | 0.298326i | ||||
\(700\) | 3.70222 | + | 3.20799i | 0.139931 | + | 0.121251i | ||||
\(701\) | −12.5471 | − | 8.06352i | −0.473897 | − | 0.304555i | 0.281804 | − | 0.959472i | \(-0.409067\pi\) |
−0.755701 | + | 0.654917i | \(0.772704\pi\) | |||||||
\(702\) | 16.1920 | + | 25.6024i | 0.611126 | + | 0.966300i | ||||
\(703\) | 7.60946 | − | 8.78179i | 0.286996 | − | 0.331211i | ||||
\(704\) | 3.19447 | + | 0.937982i | 0.120396 | + | 0.0353515i | ||||
\(705\) | 9.13407 | + | 5.30310i | 0.344009 | + | 0.199726i | ||||
\(706\) | 7.16472 | + | 8.26852i | 0.269648 | + | 0.311190i | ||||
\(707\) | 13.1643 | + | 28.8259i | 0.495096 | + | 1.08411i | ||||
\(708\) | 1.58836 | − | 3.93985i | 0.0596944 | − | 0.148069i | ||||
\(709\) | −3.64079 | − | 1.66269i | −0.136733 | − | 0.0624438i | 0.345874 | − | 0.938281i | \(-0.387583\pi\) |
−0.482606 | + | 0.875837i | \(0.660310\pi\) | |||||||
\(710\) | −0.0194172 | + | 0.135050i | −0.000728715 | + | 0.00506832i | ||||
\(711\) | 13.5941 | − | 14.1194i | 0.509817 | − | 0.529520i | ||||
\(712\) | 18.4793i | 0.692542i | ||||||||
\(713\) | 0.226904 | − | 0.284828i | 0.00849763 | − | 0.0106669i | ||||
\(714\) | −38.5976 | − | 30.5051i | −1.44448 | − | 1.14162i | ||||
\(715\) | −16.3284 | + | 10.4936i | −0.610648 | + | 0.392439i | ||||
\(716\) | −8.81559 | − | 1.26749i | −0.329454 | − | 0.0473683i | ||||
\(717\) | −18.2735 | − | 35.6575i | −0.682437 | − | 1.33165i | ||||
\(718\) | −1.88722 | − | 6.42730i | −0.0704306 | − | 0.239865i | ||||
\(719\) | −17.7331 | + | 8.09845i | −0.661335 | + | 0.302021i | −0.717663 | − | 0.696391i | \(-0.754788\pi\) |
0.0563280 | + | 0.998412i | \(0.482061\pi\) | |||||||
\(720\) | 1.75199 | − | 2.43527i | 0.0652928 | − | 0.0907571i | ||||
\(721\) | 12.4987 | + | 86.9306i | 0.465477 | + | 3.23746i | ||||
\(722\) | 4.97512 | − | 16.9437i | 0.185155 | − | 0.630580i | ||||
\(723\) | 6.26070 | + | 32.9125i | 0.232838 | + | 1.22403i | ||||
\(724\) | 3.72259 | − | 5.79246i | 0.138349 | − | 0.215275i | ||||
\(725\) | 0.837282 | − | 1.30284i | 0.0310959 | − | 0.0483861i | ||||
\(726\) | −0.0273394 | − | 0.143723i | −0.00101466 | − | 0.00533405i | ||||
\(727\) | −9.65750 | + | 32.8904i | −0.358177 | + | 1.21984i | 0.561604 | + | 0.827406i | \(0.310184\pi\) |
−0.919781 | + | 0.392432i | \(0.871634\pi\) | |||||||
\(728\) | 4.06438 | + | 28.2684i | 0.150636 | + | 1.04770i | ||||
\(729\) | −4.23054 | + | 26.6665i | −0.156687 | + | 0.987648i | ||||
\(730\) | 6.48106 | − | 2.95980i | 0.239875 | − | 0.109547i | ||||
\(731\) | 6.18560 | + | 21.0662i | 0.228783 | + | 0.779163i | ||||
\(732\) | −9.02811 | − | 17.6168i | −0.333689 | − | 0.651134i | ||||
\(733\) | −26.5003 | − | 3.81016i | −0.978810 | − | 0.140732i | −0.365703 | − | 0.930732i | \(-0.619171\pi\) |
−0.613107 | + | 0.790000i | \(0.710081\pi\) | |||||||
\(734\) | 2.64245 | − | 1.69820i | 0.0975345 | − | 0.0626816i | ||||
\(735\) | −23.0979 | − | 18.2551i | −0.851979 | − | 0.673351i | ||||
\(736\) | −4.27644 | + | 2.17073i | −0.157632 | + | 0.0800141i | ||||
\(737\) | 26.8006i | 0.987212i | ||||||||
\(738\) | −14.8667 | − | 14.3135i | −0.547250 | − | 0.526887i | ||||
\(739\) | −1.20643 | + | 8.39090i | −0.0443792 | + | 0.308664i | 0.955526 | + | 0.294906i | \(0.0952885\pi\) |
−0.999905 | + | 0.0137578i | \(0.995621\pi\) | |||||||
\(740\) | 9.12771 | + | 4.16848i | 0.335541 | + | 0.153237i | ||||
\(741\) | 4.37217 | − | 10.8449i | 0.160616 | − | 0.398398i | ||||
\(742\) | −6.70201 | − | 14.6754i | −0.246039 | − | 0.538749i | ||||
\(743\) | −16.7358 | − | 19.3142i | −0.613978 | − | 0.708568i | 0.360574 | − | 0.932731i | \(-0.382581\pi\) |
−0.974552 | + | 0.224163i | \(0.928035\pi\) | |||||||
\(744\) | 0.113739 | + | 0.0660352i | 0.00416988 | + | 0.00242097i | ||||
\(745\) | 18.6154 | + | 5.46598i | 0.682016 | + | 0.200258i | ||||
\(746\) | −16.0805 | + | 18.5579i | −0.588748 | + | 0.679451i | ||||
\(747\) | 10.1437 | − | 28.8553i | 0.371140 | − | 1.05576i | ||||
\(748\) | −16.2397 | − | 10.4366i | −0.593781 | − | 0.381600i | ||||
\(749\) | −38.1856 | − | 33.0880i | −1.39527 | − | 1.20901i | ||||
\(750\) | 1.41332 | − | 1.00127i | 0.0516070 | − | 0.0365611i | ||||
\(751\) | −6.69390 | + | 0.962437i | −0.244264 | + | 0.0351198i | −0.263359 | − | 0.964698i | \(-0.584830\pi\) |
0.0190955 | + | 0.999818i | \(0.493921\pi\) | |||||||
\(752\) | 4.60851 | − | 3.99329i | 0.168055 | − | 0.145620i | ||||
\(753\) | −4.71312 | + | 19.2244i | −0.171756 | + | 0.700575i | ||||
\(754\) | 8.66292 | − | 2.54366i | 0.315485 | − | 0.0926347i | ||||
\(755\) | 3.48753 | − | 7.63662i | 0.126924 | − | 0.277925i | ||||
\(756\) | −13.9171 | + | 21.3132i | −0.506159 | + | 0.775154i | ||||
\(757\) | 4.46861 | + | 6.95329i | 0.162414 | + | 0.252722i | 0.912917 | − | 0.408146i | \(-0.133825\pi\) |
−0.750502 | + | 0.660868i | \(0.770188\pi\) | |||||||
\(758\) | −27.6454 | −1.00413 | ||||||||
\(759\) | 22.3869 | + | 16.2374i | 0.812594 | + | 0.589381i | ||||
\(760\) | −1.15800 | −0.0420051 | ||||||||
\(761\) | 26.9587 | + | 41.9485i | 0.977250 | + | 1.52063i | 0.848664 | + | 0.528933i | \(0.177408\pi\) |
0.128587 | + | 0.991698i | \(0.458956\pi\) | |||||||
\(762\) | −15.3438 | − | 16.1704i | −0.555849 | − | 0.585792i | ||||
\(763\) | −3.16958 | + | 6.94040i | −0.114746 | + | 0.251260i | ||||
\(764\) | 1.56377 | − | 0.459165i | 0.0565753 | − | 0.0166120i | ||||
\(765\) | −13.7250 | + | 10.6862i | −0.496228 | + | 0.386362i | ||||
\(766\) | −13.3739 | + | 11.5885i | −0.483217 | + | 0.418710i | ||||
\(767\) | 14.1527 | − | 2.03485i | 0.511023 | − | 0.0734740i | ||||
\(768\) | −1.00127 | − | 1.41332i | −0.0361301 | − | 0.0509987i | ||||
\(769\) | −11.0690 | − | 9.59138i | −0.399160 | − | 0.345874i | 0.432033 | − | 0.901858i | \(-0.357796\pi\) |
−0.831193 | + | 0.555984i | \(0.812342\pi\) | |||||||
\(770\) | −13.7205 | − | 8.81761i | −0.494451 | − | 0.317765i | ||||
\(771\) | 6.77622 | − | 2.32690i | 0.244039 | − | 0.0838014i | ||||
\(772\) | 11.2870 | − | 13.0259i | 0.406227 | − | 0.468811i | ||||
\(773\) | 29.4462 | + | 8.64619i | 1.05911 | + | 0.310982i | 0.764491 | − | 0.644634i | \(-0.222990\pi\) |
0.294616 | + | 0.955616i | \(0.404808\pi\) | |||||||
\(774\) | 10.5665 | − | 4.17089i | 0.379804 | − | 0.149920i | ||||
\(775\) | 0.0497252 | + | 0.0573860i | 0.00178618 | + | 0.00206137i | ||||
\(776\) | 5.71168 | + | 12.5068i | 0.205037 | + | 0.448969i | ||||
\(777\) | −78.9657 | − | 31.8353i | −2.83288 | − | 1.14208i | ||||
\(778\) | −22.4323 | − | 10.2445i | −0.804237 | − | 0.367283i | ||||
\(779\) | −1.13368 | + | 7.88489i | −0.0406182 | + | 0.282506i | ||||
\(780\) | 10.0496 | + | 0.984191i | 0.359832 | + | 0.0352397i | ||||
\(781\) | − | 0.454249i | − | 0.0162543i | ||||||
\(782\) | 27.3372 | − | 5.09072i | 0.977576 | − | 0.182044i | ||||
\(783\) | 7.29550 | + | 3.39604i | 0.260720 | + | 0.121365i | ||||
\(784\) | −14.2994 | + | 9.18964i | −0.510691 | + | 0.328201i | ||||
\(785\) | −10.4667 | − | 1.50489i | −0.373574 | − | 0.0537118i | ||||
\(786\) | −19.6996 | + | 10.0955i | −0.702660 | + | 0.360094i | ||||
\(787\) | −3.32582 | − | 11.3267i | −0.118553 | − | 0.403753i | 0.878739 | − | 0.477303i | \(-0.158385\pi\) |
−0.997292 | + | 0.0735496i | \(0.976567\pi\) | |||||||
\(788\) | −2.08422 | + | 0.951833i | −0.0742474 | + | 0.0339076i | ||||
\(789\) | 0.531090 | + | 11.7477i | 0.0189073 | + | 0.418229i | ||||
\(790\) | −0.929787 | − | 6.46681i | −0.0330803 | − | 0.230079i | ||||
\(791\) | −14.5343 | + | 49.4994i | −0.516781 | + | 1.75999i | ||||
\(792\) | −4.61973 | + | 8.85541i | −0.164155 | + | 0.314663i | ||||
\(793\) | 36.0223 | − | 56.0518i | 1.27919 | − | 1.99046i | ||||
\(794\) | −12.4094 | + | 19.3095i | −0.440394 | + | 0.685267i | ||||
\(795\) | −5.60377 | + | 1.06596i | −0.198745 | + | 0.0378059i | ||||
\(796\) | −0.572630 | + | 1.95020i | −0.0202963 | + | 0.0691229i | ||||
\(797\) | −4.64416 | − | 32.3008i | −0.164504 | − | 1.14415i | −0.890011 | − | 0.455939i | \(-0.849304\pi\) |
0.725507 | − | 0.688215i | \(-0.241605\pi\) | |||||||
\(798\) | 9.81547 | − | 0.443738i | 0.347464 | − | 0.0157082i | ||||
\(799\) | −32.1618 | + | 14.6878i | −1.13780 | + | 0.519617i | ||||
\(800\) | −0.281733 | − | 0.959493i | −0.00996075 | − | 0.0339232i | ||||
\(801\) | −54.3847 | − | 10.7553i | −1.92159 | − | 0.380021i | ||||
\(802\) | −8.85503 | − | 1.27316i | −0.312682 | − | 0.0449569i | ||||
\(803\) | −19.9556 | + | 12.8247i | −0.704217 | + | 0.452573i | ||||
\(804\) | 8.64534 | − | 10.9388i | 0.304898 | − | 0.385782i | ||||
\(805\) | 23.0965 | − | 4.30102i | 0.814044 | − | 0.151591i | ||||
\(806\) | 0.442677i | 0.0155926i | ||||||||
\(807\) | −1.60148 | + | 16.3527i | −0.0563749 | + | 0.575644i | ||||
\(808\) | 0.920625 | − | 6.40309i | 0.0323875 | − | 0.225260i | ||||
\(809\) | 15.1046 | + | 6.89804i | 0.531050 | + | 0.242522i | 0.662848 | − | 0.748754i | \(-0.269348\pi\) |
−0.131798 | + | 0.991277i | \(0.542075\pi\) | |||||||
\(810\) | 6.14730 | + | 6.57348i | 0.215994 | + | 0.230969i | ||||
\(811\) | −18.6114 | − | 40.7532i | −0.653534 | − | 1.43104i | −0.888427 | − | 0.459019i | \(-0.848201\pi\) |
0.234893 | − | 0.972021i | \(-0.424526\pi\) | |||||||
\(812\) | 4.96817 | + | 5.73358i | 0.174349 | + | 0.201209i | ||||
\(813\) | 5.36317 | − | 9.23753i | 0.188095 | − | 0.323974i | ||||
\(814\) | −32.0550 | − | 9.41218i | −1.12353 | − | 0.329897i | ||||
\(815\) | 8.00192 | − | 9.23470i | 0.280295 | − | 0.323478i | ||||
\(816\) | 3.26166 | + | 9.49835i | 0.114181 | + | 0.332509i | ||||
\(817\) | −3.68883 | − | 2.37067i | −0.129056 | − | 0.0829391i | ||||
\(818\) | −8.81375 | − | 7.63716i | −0.308166 | − | 0.267027i | ||||
\(819\) | −85.5594 | − | 4.49128i | −2.98969 | − | 0.156938i | ||||
\(820\) | −6.80905 | + | 0.978994i | −0.237782 | + | 0.0341879i | ||||
\(821\) | −7.68658 | + | 6.66046i | −0.268264 | + | 0.232452i | −0.778596 | − | 0.627526i | \(-0.784068\pi\) |
0.510332 | + | 0.859977i | \(0.329522\pi\) | |||||||
\(822\) | 17.7987 | + | 4.36361i | 0.620802 | + | 0.152198i | ||||
\(823\) | −18.2627 | + | 5.36242i | −0.636599 | + | 0.186922i | −0.584078 | − | 0.811697i | \(-0.698544\pi\) |
−0.0525209 | + | 0.998620i | \(0.516726\pi\) | |||||||
\(824\) | 7.44755 | − | 16.3079i | 0.259448 | − | 0.568111i | ||||
\(825\) | −4.18310 | + | 3.96927i | −0.145637 | + | 0.138192i | ||||
\(826\) | 6.49554 | + | 10.1073i | 0.226009 | + | 0.351677i | ||||
\(827\) | −16.2099 | −0.563673 | −0.281837 | − | 0.959462i | \(-0.590944\pi\) | ||||
−0.281837 | + | 0.959462i | \(0.590944\pi\) | |||||||
\(828\) | −3.89948 | − | 13.8490i | −0.135516 | − | 0.481285i | ||||
\(829\) | −3.71257 | −0.128943 | −0.0644714 | − | 0.997920i | \(-0.520536\pi\) | ||||
−0.0644714 | + | 0.997920i | \(0.520536\pi\) | |||||||
\(830\) | −5.51207 | − | 8.57695i | −0.191327 | − | 0.297710i | ||||
\(831\) | 3.10399 | − | 2.94532i | 0.107676 | − | 0.102172i | ||||
\(832\) | 2.42182 | − | 5.30304i | 0.0839615 | − | 0.183850i | ||||
\(833\) | 94.5636 | − | 27.7664i | 3.27644 | − | 0.962048i | ||||
\(834\) | 33.8679 | + | 8.30320i | 1.17275 | + | 0.287516i | ||||
\(835\) | −2.49608 | + | 2.16287i | −0.0863805 | + | 0.0748491i | ||||
\(836\) | 3.81613 | − | 0.548677i | 0.131984 | − | 0.0189764i | ||||
\(837\) | −0.260540 | + | 0.296301i | −0.00900559 | + | 0.0102416i | ||||
\(838\) | 18.7878 | + | 16.2798i | 0.649015 | + | 0.562375i | ||||
\(839\) | 36.8906 | + | 23.7081i | 1.27360 | + | 0.818495i | 0.990085 | − | 0.140472i | \(-0.0448619\pi\) |
0.283519 | + | 0.958967i | \(0.408498\pi\) | |||||||
\(840\) | 2.75570 | + | 8.02491i | 0.0950806 | + | 0.276886i | ||||
\(841\) | −17.4203 | + | 20.1041i | −0.600701 | + | 0.693246i | ||||
\(842\) | −22.3143 | − | 6.55206i | −0.769000 | − | 0.225799i | ||||
\(843\) | 15.4169 | − | 26.5540i | 0.530985 | − | 0.914569i | ||||
\(844\) | −7.13578 | − | 8.23513i | −0.245624 | − | 0.283465i | ||||
\(845\) | 8.71851 | + | 19.0909i | 0.299926 | + | 0.656746i | ||||
\(846\) | 9.07002 | + | 15.8870i | 0.311834 | + | 0.546207i | ||||
\(847\) | 0.376387 | + | 0.171890i | 0.0129328 | + | 0.00590621i | ||||
\(848\) | −0.468693 | + | 3.25983i | −0.0160950 | + | 0.111943i | ||||
\(849\) | 0.986998 | − | 10.0782i | 0.0338737 | − | 0.345884i | ||||
\(850\) | 5.79819i | 0.198876i | ||||||||
\(851\) | 42.9120 | − | 21.7822i | 1.47100 | − | 0.746683i | ||||
\(852\) | −0.146532 | + | 0.185404i | −0.00502010 | + | 0.00635184i | ||||
\(853\) | −32.8779 | + | 21.1293i | −1.12572 | + | 0.723454i | −0.964662 | − | 0.263492i | \(-0.915126\pi\) |
−0.161055 | + | 0.986946i | \(0.551489\pi\) | |||||||
\(854\) | 55.4172 | + | 7.96779i | 1.89634 | + | 0.272652i | ||||
\(855\) | 0.673980 | − | 3.40800i | 0.0230496 | − | 0.116551i | ||||
\(856\) | 2.90586 | + | 9.89644i | 0.0993202 | + | 0.338253i | ||||
\(857\) | −44.7098 | + | 20.4183i | −1.52726 | + | 0.697475i | −0.989354 | − | 0.145531i | \(-0.953511\pi\) |
−0.537904 | + | 0.843006i | \(0.680784\pi\) | |||||||
\(858\) | −33.5841 | + | 1.51827i | −1.14654 | + | 0.0518330i | ||||
\(859\) | 2.89003 | + | 20.1006i | 0.0986067 | + | 0.685825i | 0.977828 | + | 0.209411i | \(0.0671545\pi\) |
−0.879221 | + | 0.476414i | \(0.841936\pi\) | |||||||
\(860\) | 1.06682 | − | 3.63324i | 0.0363781 | − | 0.123892i | ||||
\(861\) | 57.3398 | − | 10.9073i | 1.95414 | − | 0.371721i | ||||
\(862\) | −1.44199 | + | 2.24378i | −0.0491143 | + | 0.0764234i | ||||
\(863\) | 17.5450 | − | 27.3005i | 0.597238 | − | 0.929320i | −0.402665 | − | 0.915348i | \(-0.631916\pi\) |
0.999902 | − | 0.0139726i | \(-0.00444776\pi\) | |||||||
\(864\) | 4.74215 | − | 2.12415i | 0.161331 | − | 0.0722651i | ||||
\(865\) | 0.432309 | − | 1.47231i | 0.0146990 | − | 0.0500600i | ||||
\(866\) | −2.19800 | − | 15.2874i | −0.0746911 | − | 0.519488i | ||||
\(867\) | −1.29999 | − | 28.7556i | −0.0441499 | − | 0.976592i | ||||
\(868\) | −0.338359 | + | 0.154524i | −0.0114847 | + | 0.00524487i | ||||
\(869\) | 6.12812 | + | 20.8705i | 0.207882 | + | 0.707982i | ||||
\(870\) | 2.38718 | − | 1.22337i | 0.0809331 | − | 0.0414760i | ||||
\(871\) | 46.4519 | + | 6.67877i | 1.57396 | + | 0.226301i | ||||
\(872\) | 1.31027 | − | 0.842060i | 0.0443714 | − | 0.0285158i | ||||
\(873\) | −40.1320 | + | 9.53026i | −1.35826 | + | 0.322550i | ||||
\(874\) | −3.46038 | + | 4.34373i | −0.117049 | + | 0.146929i | ||||
\(875\) | 4.89874i | 0.165608i | ||||||||
\(876\) | 12.2820 | + | 1.20282i | 0.414969 | + | 0.0406395i | ||||
\(877\) | −4.17664 | + | 29.0492i | −0.141035 | + | 0.980921i | 0.789247 | + | 0.614076i | \(0.210471\pi\) |
−0.930282 | + | 0.366845i | \(0.880438\pi\) | |||||||
\(878\) | 17.4046 | + | 7.94842i | 0.587377 | + | 0.268246i | ||||
\(879\) | −9.43423 | − | 3.80344i | −0.318209 | − | 0.128287i | ||||
\(880\) | 1.38306 | + | 3.02847i | 0.0466228 | + | 0.102090i | ||||
\(881\) | 12.7779 | + | 14.7465i | 0.430499 | + | 0.496822i | 0.929007 | − | 0.370063i | \(-0.120664\pi\) |
−0.498508 | + | 0.866885i | \(0.666118\pi\) | |||||||
\(882\) | −18.7226 | − | 47.4316i | −0.630423 | − | 1.59710i | ||||
\(883\) | 41.9855 | + | 12.3281i | 1.41293 | + | 0.414872i | 0.897102 | − | 0.441823i | \(-0.145668\pi\) |
0.515823 | + | 0.856695i | \(0.327486\pi\) | |||||||
\(884\) | −22.1361 | + | 25.5464i | −0.744517 | + | 0.859219i | ||||
\(885\) | 4.01770 | − | 1.37965i | 0.135053 | − | 0.0463764i | ||||
\(886\) | 22.4818 | + | 14.4482i | 0.755290 | + | 0.485396i | ||||
\(887\) | 3.81866 | + | 3.30889i | 0.128218 | + | 0.111102i | 0.716609 | − | 0.697475i | \(-0.245693\pi\) |
−0.588391 | + | 0.808576i | \(0.700238\pi\) | |||||||
\(888\) | 10.0472 | + | 14.1819i | 0.337163 | + | 0.475915i | ||||
\(889\) | 62.4054 | − | 8.97254i | 2.09301 | − | 0.300929i | ||||
\(890\) | −13.9657 | + | 12.1014i | −0.468133 | + | 0.405639i | ||||
\(891\) | −23.3727 | − | 18.7499i | −0.783015 | − | 0.628145i | ||||
\(892\) | 20.5360 | − | 6.02991i | 0.687596 | − | 0.201896i | ||||
\(893\) | 2.93341 | − | 6.42328i | 0.0981630 | − | 0.214947i | ||||
\(894\) | 23.1305 | + | 24.3765i | 0.773599 | + | 0.815272i | ||||
\(895\) | −4.81508 | − | 7.49240i | −0.160950 | − | 0.250443i | ||||
\(896\) | 4.89874 | 0.163656 | ||||||||
\(897\) | 33.7222 | − | 34.7555i | 1.12595 | − | 1.16045i | ||||
\(898\) | −19.4567 | −0.649278 | ||||||||
\(899\) | 0.0635770 | + | 0.0989277i | 0.00212041 | + | 0.00329942i | ||||
\(900\) | 2.98776 | − | 0.270695i | 0.0995921 | − | 0.00902317i | ||||
\(901\) | 7.93255 | − | 17.3699i | 0.264272 | − | 0.578674i | ||||
\(902\) | 21.9750 | − | 6.45244i | 0.731688 | − | 0.214843i | ||||
\(903\) | −7.65033 | + | 31.2049i | −0.254587 | + | 1.03843i | ||||
\(904\) | 7.95886 | − | 6.89640i | 0.264708 | − | 0.229371i | ||||
\(905\) | 6.81543 | − | 0.979911i | 0.226553 | − | 0.0325733i | ||||
\(906\) | 11.8652 | − | 8.40592i | 0.394195 | − | 0.279268i | ||||
\(907\) | −11.7819 | − | 10.2090i | −0.391210 | − | 0.338986i | 0.436941 | − | 0.899490i | \(-0.356062\pi\) |
−0.828151 | + | 0.560505i | \(0.810607\pi\) | |||||||
\(908\) | 2.58361 | + | 1.66039i | 0.0857402 | + | 0.0551019i | ||||
\(909\) | 18.3085 | + | 6.43612i | 0.607253 | + | 0.213473i | ||||
\(910\) | −18.7022 | + | 21.5835i | −0.619972 | + | 0.715486i | ||||
\(911\) | 43.1223 | + | 12.6618i | 1.42871 | + | 0.419506i | 0.902440 | − | 0.430815i | \(-0.141774\pi\) |
0.526265 | + | 0.850321i | \(0.323592\pi\) | |||||||
\(912\) | −1.73457 | − | 1.00706i | −0.0574373 | − | 0.0333472i | ||||
\(913\) | 22.2286 | + | 25.6532i | 0.735659 | + | 0.848996i | ||||
\(914\) | 9.67042 | + | 21.1753i | 0.319869 | + | 0.700415i | ||||
\(915\) | 7.40170 | − | 18.3595i | 0.244693 | − | 0.606947i | ||||
\(916\) | 10.7807 | + | 4.92338i | 0.356204 | + | 0.162673i | ||||
\(917\) | 8.90981 | − | 61.9691i | 0.294228 | − | 2.04640i | ||||
\(918\) | −29.8520 | + | 4.07086i | −0.985263 | + | 0.134358i | ||||
\(919\) | − | 50.6555i | − | 1.67097i | −0.549512 | − | 0.835486i | \(-0.685186\pi\) | ||
0.549512 | − | 0.835486i | \(-0.314814\pi\) | |||||||
\(920\) | −4.44100 | − | 1.81039i | −0.146415 | − | 0.0596869i | ||||
\(921\) | −22.8893 | − | 18.0903i | −0.754229 | − | 0.596095i | ||||
\(922\) | −20.5918 | + | 13.2336i | −0.678156 | + | 0.435825i | ||||
\(923\) | −0.787323 | − | 0.113200i | −0.0259150 | − | 0.00372602i | ||||
\(924\) | −12.8836 | − | 25.1400i | −0.423838 | − | 0.827044i | ||||
\(925\) | 2.82705 | + | 9.62804i | 0.0929527 | + | 0.316568i | ||||
\(926\) | −11.8582 | + | 5.41547i | −0.389686 | + | 0.177963i | ||||
\(927\) | 43.6594 | + | 31.4096i | 1.43396 | + | 1.03163i | ||||
\(928\) | −0.220401 | − | 1.53292i | −0.00723501 | − | 0.0503206i | ||||
\(929\) | 6.78000 | − | 23.0905i | 0.222444 | − | 0.757576i | −0.770337 | − | 0.637637i | \(-0.779912\pi\) |
0.992781 | − | 0.119939i | \(-0.0382699\pi\) | |||||||
\(930\) | 0.0245772 | + | 0.129202i | 0.000805918 | + | 0.00423671i | ||||
\(931\) | −10.6416 | + | 16.5587i | −0.348765 | + | 0.542689i | ||||
\(932\) | 4.25882 | − | 6.62685i | 0.139502 | − | 0.217070i | ||||
\(933\) | −5.46144 | − | 28.7108i | −0.178800 | − | 0.939948i | ||||
\(934\) | 2.12395 | − | 7.23352i | 0.0694979 | − | 0.236688i | ||||
\(935\) | −2.74726 | − | 19.1076i | −0.0898451 | − | 0.624886i | ||||
\(936\) | 14.1973 | + | 10.2139i | 0.464054 | + | 0.333851i | ||||
\(937\) | 32.6584 | − | 14.9146i | 1.06690 | − | 0.487238i | 0.196971 | − | 0.980409i | \(-0.436890\pi\) |
0.869932 | + | 0.493171i | \(0.164162\pi\) | |||||||
\(938\) | 11.1099 | + | 37.8367i | 0.362750 | + | 1.23541i | ||||
\(939\) | 15.1080 | + | 29.4805i | 0.493030 | + | 0.962060i | ||||
\(940\) | 6.03586 | + | 0.867826i | 0.196868 | + | 0.0283053i | ||||
\(941\) | −47.6822 | + | 30.6435i | −1.55440 | + | 0.998950i | −0.570274 | + | 0.821454i | \(0.693163\pi\) |
−0.984122 | + | 0.177495i | \(0.943201\pi\) | |||||||
\(942\) | −14.3694 | − | 11.3566i | −0.468179 | − | 0.370019i | ||||
\(943\) | −16.6748 | + | 28.4666i | −0.543006 | + | 0.927001i | ||||
\(944\) | − | 2.45257i | − | 0.0798244i | ||||||
\(945\) | −25.2212 | + | 3.43936i | −0.820445 | + | 0.111882i | ||||
\(946\) | −1.79416 | + | 12.4786i | −0.0583330 | + | 0.405715i | ||||
\(947\) | −35.7086 | − | 16.3075i | −1.16037 | − | 0.529924i | −0.260241 | − | 0.965544i | \(-0.583802\pi\) |
−0.900131 | + | 0.435619i | \(0.856529\pi\) | |||||||
\(948\) | 4.23118 | − | 10.4952i | 0.137422 | − | 0.340869i | ||||
\(949\) | 17.2553 | + | 37.7838i | 0.560130 | + | 1.22651i | ||||
\(950\) | −0.758330 | − | 0.875159i | −0.0246035 | − | 0.0283939i | ||||
\(951\) | 0.263455 | + | 0.152958i | 0.00854311 | + | 0.00496000i | ||||
\(952\) | −27.2533 | − | 8.00229i | −0.883284 | − | 0.259356i | ||||
\(953\) | −23.6928 | + | 27.3430i | −0.767486 | + | 0.885726i | −0.996140 | − | 0.0877818i | \(-0.972022\pi\) |
0.228654 | + | 0.973508i | \(0.426568\pi\) | |||||||
\(954\) | −9.32090 | − | 3.27665i | −0.301775 | − | 0.106085i | ||||
\(955\) | 1.37107 | + | 0.881132i | 0.0443667 | + | 0.0285128i | ||||
\(956\) | −17.4826 | − | 15.1488i | −0.565428 | − | 0.489946i | ||||
\(957\) | −7.28719 | + | 5.16262i | −0.235561 | + | 0.166884i | ||||
\(958\) | 29.4888 | − | 4.23985i | 0.952741 | − | 0.136983i | ||||
\(959\) | −39.1711 | + | 33.9419i | −1.26490 | + | 1.09604i | ||||
\(960\) | 0.412423 | − | 1.68223i | 0.0133109 | − | 0.0542938i | ||||
\(961\) | 29.7387 | − | 8.73208i | 0.959315 | − | 0.281680i | ||||
\(962\) | −24.3018 | + | 53.2134i | −0.783520 | + | 1.71567i | ||||
\(963\) | −30.8165 | + | 2.79202i | −0.993048 | + | 0.0899714i | ||||
\(964\) | 10.4575 | + | 16.2722i | 0.336813 | + | 0.524091i | ||||
\(965\) | 17.2357 | 0.554836 | ||||||||
\(966\) | 38.3366 | + | 13.6435i | 1.23346 | + | 0.438973i | ||||
\(967\) | 9.75777 | 0.313789 | 0.156894 | − | 0.987615i | \(-0.449852\pi\) | ||||
0.156894 | + | 0.987615i | \(0.449852\pi\) | |||||||
\(968\) | −0.0456660 | − | 0.0710576i | −0.00146776 | − | 0.00228388i | ||||
\(969\) | 8.00488 | + | 8.43610i | 0.257154 | + | 0.271007i | ||||
\(970\) | −5.71168 | + | 12.5068i | −0.183391 | + | 0.401571i | ||||
\(971\) | −8.02687 | + | 2.35690i | −0.257594 | + | 0.0756365i | −0.407980 | − | 0.912991i | \(-0.633767\pi\) |
0.150386 | + | 0.988627i | \(0.451948\pi\) | |||||||
\(972\) | 3.49135 | + | 15.1924i | 0.111985 | + | 0.487298i | ||||
\(973\) | −74.5359 | + | 64.5857i | −2.38951 | + | 2.07052i | ||||
\(974\) | 4.59793 | − | 0.661083i | 0.147327 | − | 0.0211825i | ||||
\(975\) | 5.83726 | + | 8.23946i | 0.186942 | + | 0.263874i | ||||
\(976\) | −8.63736 | − | 7.48431i | −0.276475 | − | 0.239567i | ||||
\(977\) | 42.7832 | + | 27.4951i | 1.36875 | + | 0.879645i | 0.998779 | − | 0.0493960i | \(-0.0157296\pi\) |
0.369976 | + | 0.929041i | \(0.379366\pi\) | |||||||
\(978\) | 20.0171 | − | 6.87372i | 0.640075 | − | 0.219797i | ||||
\(979\) | 40.2896 | − | 46.4966i | 1.28766 | − | 1.48604i | ||||
\(980\) | −16.3092 | − | 4.78880i | −0.520977 | − | 0.152973i | ||||
\(981\) | 1.71558 | + | 4.34623i | 0.0547743 | + | 0.138764i | ||||
\(982\) | −14.0849 | − | 16.2548i | −0.449466 | − | 0.518711i | ||||
\(983\) | 16.8501 | + | 36.8966i | 0.537434 | + | 1.17682i | 0.962407 | + | 0.271611i | \(0.0875564\pi\) |
−0.424973 | + | 0.905206i | \(0.639716\pi\) | |||||||
\(984\) | −11.0507 | − | 4.45511i | −0.352282 | − | 0.142024i | ||||
\(985\) | −2.08422 | − | 0.951833i | −0.0664089 | − | 0.0303279i | ||||
\(986\) | −1.27793 | + | 8.88817i | −0.0406975 | + | 0.283057i | ||||
\(987\) | −51.4938 | − | 5.04297i | −1.63907 | − | 0.160520i | ||||
\(988\) | − | 6.75101i | − | 0.214778i | ||||||
\(989\) | −10.4406 | − | 14.8587i | −0.331992 | − | 0.472478i | ||||
\(990\) | −9.71775 | + | 2.30770i | −0.308850 | + | 0.0733437i | ||||
\(991\) | 41.4978 | − | 26.6690i | 1.31822 | − | 0.847168i | 0.323150 | − | 0.946348i | \(-0.395258\pi\) |
0.995070 | + | 0.0991795i | \(0.0316218\pi\) | |||||||
\(992\) | 0.0751597 | + | 0.0108063i | 0.00238632 | + | 0.000343101i | ||||
\(993\) | −17.8518 | + | 9.14856i | −0.566509 | + | 0.290321i | ||||
\(994\) | −0.188303 | − | 0.641303i | −0.00597262 | − | 0.0203409i | ||||
\(995\) | −1.84885 | + | 0.844343i | −0.0586126 | + | 0.0267675i | ||||
\(996\) | −0.797515 | − | 17.6410i | −0.0252702 | − | 0.558976i | ||||
\(997\) | −0.767507 | − | 5.33813i | −0.0243072 | − | 0.169060i | 0.974052 | − | 0.226325i | \(-0.0726711\pi\) |
−0.998359 | + | 0.0572648i | \(0.981762\pi\) | |||||||
\(998\) | 11.8658 | − | 40.4111i | 0.375605 | − | 1.27919i | ||||
\(999\) | −47.5851 | + | 21.3148i | −1.50553 | + | 0.674371i |
(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 | 690.2.q.a.11.10 | ✓ | 160 | |
3.2 | odd | 2 | 690.2.q.b.11.6 | yes | 160 | ||
23.21 | odd | 22 | 690.2.q.b.251.6 | yes | 160 | ||
69.44 | even | 22 | inner | 690.2.q.a.251.10 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.q.a.11.10 | ✓ | 160 | 1.1 | even | 1 | trivial | |
690.2.q.a.251.10 | yes | 160 | 69.44 | even | 22 | inner | |
690.2.q.b.11.6 | yes | 160 | 3.2 | odd | 2 | ||
690.2.q.b.251.6 | yes | 160 | 23.21 | odd | 22 |