Properties

Label 99.2.m.b.31.5
Level $99$
Weight $2$
Character 99.31
Analytic conductor $0.791$
Analytic rank $0$
Dimension $72$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [99,2,Mod(4,99)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(99, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([10, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("99.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 99 = 3^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 99.m (of order \(15\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(0.790518980011\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(9\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 31.5
Character \(\chi\) \(=\) 99.31
Dual form 99.2.m.b.16.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.278917 + 0.0592857i) q^{2} +(-1.04736 - 1.37950i) q^{3} +(-1.75281 + 0.780402i) q^{4} +(-2.64954 - 0.563177i) q^{5} +(0.373912 + 0.322674i) q^{6} +(0.425779 - 4.05102i) q^{7} +(0.904002 - 0.656796i) q^{8} +(-0.806061 + 2.88968i) q^{9} +0.772391 q^{10} +(-3.31056 - 0.200500i) q^{11} +(2.91240 + 1.60065i) q^{12} +(2.57679 + 2.86182i) q^{13} +(0.121410 + 1.15514i) q^{14} +(1.99813 + 4.24490i) q^{15} +(2.35451 - 2.61494i) q^{16} +(-1.33502 - 4.10876i) q^{17} +(0.0535075 - 0.853770i) q^{18} +(1.31246 - 0.953561i) q^{19} +(5.08365 - 1.08056i) q^{20} +(-6.03434 + 3.65553i) q^{21} +(0.935259 - 0.140346i) q^{22} +(0.932117 - 1.61447i) q^{23} +(-1.85287 - 0.559170i) q^{24} +(2.13517 + 0.950641i) q^{25} +(-0.888377 - 0.645443i) q^{26} +(4.83057 - 1.91458i) q^{27} +(2.41511 + 7.43295i) q^{28} +(-0.371426 + 3.53388i) q^{29} +(-0.808974 - 1.06552i) q^{30} +(-3.25505 - 3.61509i) q^{31} +(-1.61909 + 2.80435i) q^{32} +(3.19077 + 4.77692i) q^{33} +(0.615950 + 1.06686i) q^{34} +(-3.40956 + 10.4936i) q^{35} +(-0.842241 - 5.69412i) q^{36} +(-6.26542 - 4.55210i) q^{37} +(-0.309536 + 0.343775i) q^{38} +(1.24905 - 6.55206i) q^{39} +(-2.76508 + 1.23109i) q^{40} +(-0.718335 - 6.83450i) q^{41} +(1.46636 - 1.37734i) q^{42} +(-0.492496 - 0.853027i) q^{43} +(5.95925 - 2.23213i) q^{44} +(3.76310 - 7.20238i) q^{45} +(-0.164268 + 0.505566i) q^{46} +(5.35918 + 2.38606i) q^{47} +(-6.07335 - 0.509254i) q^{48} +(-9.38245 - 1.99430i) q^{49} +(-0.651896 - 0.138565i) q^{50} +(-4.26980 + 6.14502i) q^{51} +(-6.75000 - 3.00529i) q^{52} +(-0.485721 + 1.49489i) q^{53} +(-1.23382 + 0.820393i) q^{54} +(8.65855 + 2.39567i) q^{55} +(-2.27579 - 3.94178i) q^{56} +(-2.69007 - 0.811824i) q^{57} +(-0.105911 - 1.00768i) q^{58} +(10.3802 - 4.62154i) q^{59} +(-6.81507 - 5.88117i) q^{60} +(-5.75953 + 6.39660i) q^{61} +(1.12221 + 0.815335i) q^{62} +(11.3630 + 4.49574i) q^{63} +(-1.88937 + 5.81490i) q^{64} +(-5.21561 - 9.03370i) q^{65} +(-1.17316 - 1.14320i) q^{66} +(0.870282 - 1.50737i) q^{67} +(5.54651 + 6.16003i) q^{68} +(-3.20344 + 0.405082i) q^{69} +(0.328868 - 3.12897i) q^{70} +(-1.77418 - 5.46036i) q^{71} +(1.16925 + 3.14170i) q^{72} +(3.27379 + 2.37855i) q^{73} +(2.01741 + 0.898208i) q^{74} +(-0.924890 - 3.94115i) q^{75} +(-1.55634 + 2.69566i) q^{76} +(-2.22180 + 13.3258i) q^{77} +(0.0400613 + 1.90153i) q^{78} +(4.18662 - 0.889893i) q^{79} +(-7.71104 + 5.60240i) q^{80} +(-7.70053 - 4.65852i) q^{81} +(0.605544 + 1.86367i) q^{82} +(-4.34947 + 4.83058i) q^{83} +(7.72429 - 11.1167i) q^{84} +(1.22322 + 11.6382i) q^{85} +(0.187938 + 0.208726i) q^{86} +(5.26402 - 3.18887i) q^{87} +(-3.12444 + 1.99311i) q^{88} +9.26243 q^{89} +(-0.622594 + 2.23196i) q^{90} +(12.6904 - 9.22014i) q^{91} +(-0.373887 + 3.55729i) q^{92} +(-1.57782 + 8.27667i) q^{93} +(-1.63623 - 0.347790i) q^{94} +(-4.01445 + 1.78735i) q^{95} +(5.56439 - 0.703629i) q^{96} +(7.25070 - 1.54118i) q^{97} +2.73516 q^{98} +(3.24790 - 9.40485i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\)
\(\chi(n)\) \(e\left(\frac{3}{5}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.278917 + 0.0592857i −0.197224 + 0.0419213i −0.305465 0.952203i \(-0.598812\pi\)
0.108240 + 0.994125i \(0.465478\pi\)
\(3\) −1.04736 1.37950i −0.604695 0.796457i
\(4\) −1.75281 + 0.780402i −0.876405 + 0.390201i
\(5\) −2.64954 0.563177i −1.18491 0.251861i −0.427020 0.904242i \(-0.640437\pi\)
−0.757891 + 0.652381i \(0.773770\pi\)
\(6\) 0.373912 + 0.322674i 0.152649 + 0.131731i
\(7\) 0.425779 4.05102i 0.160930 1.53114i −0.554338 0.832291i \(-0.687029\pi\)
0.715268 0.698851i \(-0.246305\pi\)
\(8\) 0.904002 0.656796i 0.319613 0.232212i
\(9\) −0.806061 + 2.88968i −0.268687 + 0.963228i
\(10\) 0.772391 0.244251
\(11\) −3.31056 0.200500i −0.998171 0.0604531i
\(12\) 2.91240 + 1.60065i 0.840736 + 0.462066i
\(13\) 2.57679 + 2.86182i 0.714674 + 0.793726i 0.985639 0.168863i \(-0.0540097\pi\)
−0.270966 + 0.962589i \(0.587343\pi\)
\(14\) 0.121410 + 1.15514i 0.0324483 + 0.308725i
\(15\) 1.99813 + 4.24490i 0.515914 + 1.09603i
\(16\) 2.35451 2.61494i 0.588626 0.653736i
\(17\) −1.33502 4.10876i −0.323789 0.996520i −0.971984 0.235046i \(-0.924476\pi\)
0.648195 0.761474i \(-0.275524\pi\)
\(18\) 0.0535075 0.853770i 0.0126118 0.201236i
\(19\) 1.31246 0.953561i 0.301100 0.218762i −0.426968 0.904267i \(-0.640418\pi\)
0.728068 + 0.685505i \(0.240418\pi\)
\(20\) 5.08365 1.08056i 1.13674 0.241621i
\(21\) −6.03434 + 3.65553i −1.31680 + 0.797701i
\(22\) 0.935259 0.140346i 0.199398 0.0299218i
\(23\) 0.932117 1.61447i 0.194360 0.336641i −0.752331 0.658786i \(-0.771070\pi\)
0.946691 + 0.322145i \(0.104404\pi\)
\(24\) −1.85287 0.559170i −0.378216 0.114140i
\(25\) 2.13517 + 0.950641i 0.427035 + 0.190128i
\(26\) −0.888377 0.645443i −0.174225 0.126582i
\(27\) 4.83057 1.91458i 0.929643 0.368462i
\(28\) 2.41511 + 7.43295i 0.456413 + 1.40470i
\(29\) −0.371426 + 3.53388i −0.0689720 + 0.656225i 0.904352 + 0.426788i \(0.140355\pi\)
−0.973324 + 0.229437i \(0.926312\pi\)
\(30\) −0.808974 1.06552i −0.147698 0.194536i
\(31\) −3.25505 3.61509i −0.584624 0.649290i 0.376171 0.926550i \(-0.377240\pi\)
−0.960795 + 0.277260i \(0.910574\pi\)
\(32\) −1.61909 + 2.80435i −0.286218 + 0.495744i
\(33\) 3.19077 + 4.77692i 0.555441 + 0.831556i
\(34\) 0.615950 + 1.06686i 0.105634 + 0.182964i
\(35\) −3.40956 + 10.4936i −0.576321 + 1.77374i
\(36\) −0.842241 5.69412i −0.140373 0.949020i
\(37\) −6.26542 4.55210i −1.03003 0.748360i −0.0617145 0.998094i \(-0.519657\pi\)
−0.968314 + 0.249734i \(0.919657\pi\)
\(38\) −0.309536 + 0.343775i −0.0502134 + 0.0557676i
\(39\) 1.24905 6.55206i 0.200008 1.04917i
\(40\) −2.76508 + 1.23109i −0.437198 + 0.194653i
\(41\) −0.718335 6.83450i −0.112185 1.06737i −0.895291 0.445481i \(-0.853033\pi\)
0.783106 0.621888i \(-0.213634\pi\)
\(42\) 1.46636 1.37734i 0.226265 0.212528i
\(43\) −0.492496 0.853027i −0.0751049 0.130085i 0.826027 0.563631i \(-0.190596\pi\)
−0.901132 + 0.433545i \(0.857262\pi\)
\(44\) 5.95925 2.23213i 0.898391 0.336506i
\(45\) 3.76310 7.20238i 0.560969 1.07367i
\(46\) −0.164268 + 0.505566i −0.0242200 + 0.0745416i
\(47\) 5.35918 + 2.38606i 0.781716 + 0.348042i 0.758487 0.651688i \(-0.225939\pi\)
0.0232288 + 0.999730i \(0.492605\pi\)
\(48\) −6.07335 0.509254i −0.876612 0.0735045i
\(49\) −9.38245 1.99430i −1.34035 0.284900i
\(50\) −0.651896 0.138565i −0.0921920 0.0195960i
\(51\) −4.26980 + 6.14502i −0.597892 + 0.860475i
\(52\) −6.75000 3.00529i −0.936056 0.416759i
\(53\) −0.485721 + 1.49489i −0.0667189 + 0.205340i −0.978858 0.204541i \(-0.934430\pi\)
0.912139 + 0.409881i \(0.134430\pi\)
\(54\) −1.23382 + 0.820393i −0.167902 + 0.111641i
\(55\) 8.65855 + 2.39567i 1.16752 + 0.323032i
\(56\) −2.27579 3.94178i −0.304115 0.526743i
\(57\) −2.69007 0.811824i −0.356308 0.107529i
\(58\) −0.105911 1.00768i −0.0139069 0.132315i
\(59\) 10.3802 4.62154i 1.35138 0.601674i 0.401954 0.915660i \(-0.368331\pi\)
0.949427 + 0.313986i \(0.101665\pi\)
\(60\) −6.81507 5.88117i −0.879822 0.759256i
\(61\) −5.75953 + 6.39660i −0.737432 + 0.819001i −0.988856 0.148876i \(-0.952434\pi\)
0.251424 + 0.967877i \(0.419101\pi\)
\(62\) 1.12221 + 0.815335i 0.142521 + 0.103548i
\(63\) 11.3630 + 4.49574i 1.43160 + 0.566410i
\(64\) −1.88937 + 5.81490i −0.236172 + 0.726862i
\(65\) −5.21561 9.03370i −0.646916 1.12049i
\(66\) −1.17316 1.14320i −0.144406 0.140718i
\(67\) 0.870282 1.50737i 0.106322 0.184155i −0.807956 0.589243i \(-0.799426\pi\)
0.914277 + 0.405088i \(0.132759\pi\)
\(68\) 5.54651 + 6.16003i 0.672614 + 0.747013i
\(69\) −3.20344 + 0.405082i −0.385649 + 0.0487661i
\(70\) 0.328868 3.12897i 0.0393073 0.373984i
\(71\) −1.77418 5.46036i −0.210556 0.648026i −0.999439 0.0334822i \(-0.989340\pi\)
0.788883 0.614543i \(-0.210660\pi\)
\(72\) 1.16925 + 3.14170i 0.137798 + 0.370253i
\(73\) 3.27379 + 2.37855i 0.383168 + 0.278388i 0.762650 0.646811i \(-0.223898\pi\)
−0.379482 + 0.925199i \(0.623898\pi\)
\(74\) 2.01741 + 0.898208i 0.234519 + 0.104415i
\(75\) −0.924890 3.94115i −0.106797 0.455084i
\(76\) −1.55634 + 2.69566i −0.178524 + 0.309213i
\(77\) −2.22180 + 13.3258i −0.253198 + 1.51861i
\(78\) 0.0400613 + 1.90153i 0.00453605 + 0.215306i
\(79\) 4.18662 0.889893i 0.471031 0.100121i 0.0337205 0.999431i \(-0.489264\pi\)
0.437311 + 0.899311i \(0.355931\pi\)
\(80\) −7.71104 + 5.60240i −0.862120 + 0.626367i
\(81\) −7.70053 4.65852i −0.855615 0.517613i
\(82\) 0.605544 + 1.86367i 0.0668711 + 0.205808i
\(83\) −4.34947 + 4.83058i −0.477417 + 0.530225i −0.932956 0.359991i \(-0.882780\pi\)
0.455539 + 0.890216i \(0.349446\pi\)
\(84\) 7.72429 11.1167i 0.842789 1.21293i
\(85\) 1.22322 + 11.6382i 0.132677 + 1.26234i
\(86\) 0.187938 + 0.208726i 0.0202659 + 0.0225075i
\(87\) 5.26402 3.18887i 0.564362 0.341883i
\(88\) −3.12444 + 1.99311i −0.333066 + 0.212466i
\(89\) 9.26243 0.981816 0.490908 0.871211i \(-0.336665\pi\)
0.490908 + 0.871211i \(0.336665\pi\)
\(90\) −0.622594 + 2.23196i −0.0656272 + 0.235270i
\(91\) 12.6904 9.22014i 1.33032 0.966533i
\(92\) −0.373887 + 3.55729i −0.0389804 + 0.370874i
\(93\) −1.57782 + 8.27667i −0.163612 + 0.858250i
\(94\) −1.63623 0.347790i −0.168764 0.0358718i
\(95\) −4.01445 + 1.78735i −0.411874 + 0.183378i
\(96\) 5.56439 0.703629i 0.567913 0.0718138i
\(97\) 7.25070 1.54118i 0.736197 0.156483i 0.175470 0.984485i \(-0.443855\pi\)
0.560726 + 0.828001i \(0.310522\pi\)
\(98\) 2.73516 0.276293
\(99\) 3.24790 9.40485i 0.326426 0.945223i
\(100\) −4.48444 −0.448444
\(101\) 13.4178 2.85205i 1.33513 0.283790i 0.515598 0.856830i \(-0.327570\pi\)
0.819527 + 0.573041i \(0.194236\pi\)
\(102\) 0.826609 1.96709i 0.0818465 0.194771i
\(103\) 4.63647 2.06429i 0.456845 0.203400i −0.165395 0.986227i \(-0.552890\pi\)
0.622239 + 0.782827i \(0.286223\pi\)
\(104\) 4.20906 + 0.894663i 0.412732 + 0.0877289i
\(105\) 18.0470 6.28706i 1.76120 0.613554i
\(106\) 0.0468500 0.445748i 0.00455048 0.0432949i
\(107\) 2.24824 1.63344i 0.217346 0.157911i −0.473785 0.880640i \(-0.657113\pi\)
0.691131 + 0.722730i \(0.257113\pi\)
\(108\) −6.97293 + 7.12568i −0.670970 + 0.685669i
\(109\) −17.3573 −1.66253 −0.831263 0.555879i \(-0.812382\pi\)
−0.831263 + 0.555879i \(0.812382\pi\)
\(110\) −2.55705 0.154865i −0.243805 0.0147658i
\(111\) 0.282539 + 13.4109i 0.0268174 + 1.27290i
\(112\) −9.59069 10.6515i −0.906235 1.00648i
\(113\) −0.0986387 0.938485i −0.00927915 0.0882852i 0.988902 0.148568i \(-0.0474664\pi\)
−0.998181 + 0.0602828i \(0.980800\pi\)
\(114\) 0.798435 + 0.0669493i 0.0747803 + 0.00627038i
\(115\) −3.37892 + 3.75267i −0.315086 + 0.349938i
\(116\) −2.10681 6.48408i −0.195612 0.602032i
\(117\) −10.3468 + 5.13931i −0.956562 + 0.475130i
\(118\) −2.62121 + 1.90442i −0.241302 + 0.175316i
\(119\) −17.2131 + 3.65876i −1.57792 + 0.335398i
\(120\) 4.59435 + 2.52504i 0.419405 + 0.230504i
\(121\) 10.9196 + 1.32754i 0.992691 + 0.120685i
\(122\) 1.22720 2.12558i 0.111106 0.192441i
\(123\) −8.67586 + 8.14915i −0.782276 + 0.734784i
\(124\) 8.52671 + 3.79633i 0.765721 + 0.340921i
\(125\) 5.83521 + 4.23953i 0.521917 + 0.379195i
\(126\) −3.43586 0.580278i −0.306091 0.0516952i
\(127\) 0.757216 + 2.33047i 0.0671920 + 0.206796i 0.979015 0.203787i \(-0.0653251\pi\)
−0.911823 + 0.410583i \(0.865325\pi\)
\(128\) 0.859204 8.17478i 0.0759436 0.722555i
\(129\) −0.660933 + 1.57283i −0.0581919 + 0.138480i
\(130\) 1.99029 + 2.21044i 0.174560 + 0.193869i
\(131\) −1.99869 + 3.46183i −0.174626 + 0.302461i −0.940032 0.341087i \(-0.889205\pi\)
0.765406 + 0.643548i \(0.222538\pi\)
\(132\) −9.32073 5.88297i −0.811265 0.512047i
\(133\) −3.30407 5.72282i −0.286500 0.496232i
\(134\) −0.153371 + 0.472027i −0.0132492 + 0.0407769i
\(135\) −13.8770 + 2.35230i −1.19435 + 0.202454i
\(136\) −3.90547 2.83749i −0.334892 0.243313i
\(137\) 0.728855 0.809475i 0.0622703 0.0691581i −0.711205 0.702985i \(-0.751850\pi\)
0.773475 + 0.633827i \(0.218517\pi\)
\(138\) 0.869479 0.302902i 0.0740149 0.0257848i
\(139\) 2.63551 1.17340i 0.223541 0.0995269i −0.291910 0.956446i \(-0.594291\pi\)
0.515451 + 0.856919i \(0.327624\pi\)
\(140\) −2.21287 21.0541i −0.187022 1.77939i
\(141\) −2.32143 9.89207i −0.195499 0.833063i
\(142\) 0.818570 + 1.41780i 0.0686929 + 0.118980i
\(143\) −7.95683 9.99087i −0.665383 0.835478i
\(144\) 5.65848 + 8.91158i 0.471540 + 0.742632i
\(145\) 2.97431 9.15398i 0.247003 0.760197i
\(146\) −1.05413 0.469329i −0.0872404 0.0388419i
\(147\) 7.07569 + 15.0319i 0.583593 + 1.23981i
\(148\) 14.5346 + 3.08942i 1.19473 + 0.253948i
\(149\) −19.7339 4.19458i −1.61667 0.343633i −0.691260 0.722606i \(-0.742944\pi\)
−0.925408 + 0.378973i \(0.876277\pi\)
\(150\) 0.491621 + 1.04442i 0.0401407 + 0.0852766i
\(151\) −10.1206 4.50597i −0.823601 0.366691i −0.0487316 0.998812i \(-0.515518\pi\)
−0.774870 + 0.632121i \(0.782185\pi\)
\(152\) 0.560175 1.72404i 0.0454362 0.139838i
\(153\) 12.9491 0.545864i 1.04687 0.0441305i
\(154\) −0.170330 3.84851i −0.0137255 0.310122i
\(155\) 6.58844 + 11.4115i 0.529196 + 0.916595i
\(156\) 2.92389 + 12.4593i 0.234098 + 0.997541i
\(157\) −0.0347854 0.330961i −0.00277618 0.0264136i 0.993046 0.117726i \(-0.0375605\pi\)
−0.995822 + 0.0913125i \(0.970894\pi\)
\(158\) −1.11496 + 0.496413i −0.0887016 + 0.0394925i
\(159\) 2.57094 0.895644i 0.203889 0.0710292i
\(160\) 5.86920 6.51840i 0.464001 0.515325i
\(161\) −6.14339 4.46344i −0.484167 0.351768i
\(162\) 2.42399 + 0.842810i 0.190447 + 0.0662174i
\(163\) 4.12168 12.6852i 0.322835 0.993584i −0.649574 0.760299i \(-0.725053\pi\)
0.972408 0.233285i \(-0.0749475\pi\)
\(164\) 6.59276 + 11.4190i 0.514808 + 0.891674i
\(165\) −5.76381 14.4536i −0.448712 1.12521i
\(166\) 0.926759 1.60519i 0.0719304 0.124587i
\(167\) −12.6567 14.0567i −0.979405 1.08774i −0.996131 0.0878797i \(-0.971991\pi\)
0.0167258 0.999860i \(-0.494676\pi\)
\(168\) −3.05413 + 7.26794i −0.235631 + 0.560733i
\(169\) −0.191273 + 1.81984i −0.0147133 + 0.139988i
\(170\) −1.03115 3.17357i −0.0790860 0.243402i
\(171\) 1.69756 + 4.56123i 0.129816 + 0.348806i
\(172\) 1.52896 + 1.11085i 0.116582 + 0.0847016i
\(173\) −1.38319 0.615835i −0.105162 0.0468211i 0.353481 0.935442i \(-0.384998\pi\)
−0.458643 + 0.888620i \(0.651664\pi\)
\(174\) −1.27917 + 1.20151i −0.0969737 + 0.0910864i
\(175\) 4.76018 8.24487i 0.359836 0.623254i
\(176\) −8.31903 + 8.18485i −0.627070 + 0.616956i
\(177\) −17.2472 9.47903i −1.29638 0.712487i
\(178\) −2.58345 + 0.549130i −0.193638 + 0.0411590i
\(179\) −10.6703 + 7.75244i −0.797537 + 0.579445i −0.910191 0.414190i \(-0.864065\pi\)
0.112653 + 0.993634i \(0.464065\pi\)
\(180\) −0.975248 + 15.5611i −0.0726907 + 1.15986i
\(181\) 0.864886 + 2.66185i 0.0642865 + 0.197853i 0.978041 0.208414i \(-0.0668301\pi\)
−0.913754 + 0.406267i \(0.866830\pi\)
\(182\) −2.99296 + 3.32402i −0.221853 + 0.246392i
\(183\) 14.8565 + 1.24572i 1.09822 + 0.0920865i
\(184\) −0.217744 2.07170i −0.0160523 0.152728i
\(185\) 14.0369 + 15.5895i 1.03201 + 1.14616i
\(186\) −0.0506061 2.40205i −0.00371062 0.176127i
\(187\) 3.59584 + 13.8700i 0.262954 + 1.01427i
\(188\) −11.2557 −0.820907
\(189\) −5.69926 20.3839i −0.414560 1.48271i
\(190\) 1.01374 0.736522i 0.0735441 0.0534329i
\(191\) 1.74997 16.6498i 0.126623 1.20474i −0.728032 0.685544i \(-0.759565\pi\)
0.854655 0.519197i \(-0.173769\pi\)
\(192\) 10.0005 3.48391i 0.721726 0.251430i
\(193\) 21.5578 + 4.58224i 1.55176 + 0.329837i 0.902487 0.430717i \(-0.141739\pi\)
0.649275 + 0.760554i \(0.275073\pi\)
\(194\) −1.93097 + 0.859725i −0.138636 + 0.0617247i
\(195\) −6.99938 + 16.6565i −0.501236 + 1.19280i
\(196\) 18.0020 3.82645i 1.28586 0.273318i
\(197\) 18.2247 1.29845 0.649227 0.760595i \(-0.275093\pi\)
0.649227 + 0.760595i \(0.275093\pi\)
\(198\) −0.348321 + 2.81573i −0.0247541 + 0.200105i
\(199\) −25.0958 −1.77899 −0.889497 0.456942i \(-0.848945\pi\)
−0.889497 + 0.456942i \(0.848945\pi\)
\(200\) 2.55458 0.542993i 0.180636 0.0383954i
\(201\) −2.99093 + 0.378209i −0.210964 + 0.0266768i
\(202\) −3.57338 + 1.59097i −0.251422 + 0.111940i
\(203\) 14.1577 + 3.00931i 0.993674 + 0.211212i
\(204\) 2.68857 14.1032i 0.188237 0.987423i
\(205\) −1.94578 + 18.5128i −0.135899 + 1.29299i
\(206\) −1.17081 + 0.850642i −0.0815741 + 0.0592670i
\(207\) 3.91398 + 3.99489i 0.272040 + 0.277664i
\(208\) 13.5506 0.939563
\(209\) −4.53618 + 2.89367i −0.313774 + 0.200159i
\(210\) −4.66087 + 2.82350i −0.321631 + 0.194840i
\(211\) 5.53373 + 6.14582i 0.380957 + 0.423096i 0.902877 0.429899i \(-0.141451\pi\)
−0.521920 + 0.852995i \(0.674784\pi\)
\(212\) −0.315242 2.99933i −0.0216509 0.205995i
\(213\) −5.67438 + 8.16647i −0.388802 + 0.559557i
\(214\) −0.530233 + 0.588884i −0.0362460 + 0.0402552i
\(215\) 0.824482 + 2.53749i 0.0562292 + 0.173056i
\(216\) 3.10935 4.90348i 0.211565 0.333640i
\(217\) −16.0308 + 11.6470i −1.08824 + 0.790652i
\(218\) 4.84125 1.02904i 0.327891 0.0696953i
\(219\) −0.147631 7.00740i −0.00997600 0.473516i
\(220\) −17.0464 + 2.55799i −1.14927 + 0.172460i
\(221\) 8.31846 14.4080i 0.559560 0.969187i
\(222\) −0.873878 3.72377i −0.0586508 0.249923i
\(223\) −6.71646 2.99036i −0.449768 0.200249i 0.169337 0.985558i \(-0.445837\pi\)
−0.619104 + 0.785309i \(0.712504\pi\)
\(224\) 10.6711 + 7.75301i 0.712993 + 0.518020i
\(225\) −4.46813 + 5.40370i −0.297875 + 0.360247i
\(226\) 0.0831507 + 0.255912i 0.00553110 + 0.0170230i
\(227\) 1.97989 18.8374i 0.131410 1.25028i −0.707775 0.706438i \(-0.750301\pi\)
0.839185 0.543846i \(-0.183032\pi\)
\(228\) 5.34873 0.676358i 0.354228 0.0447929i
\(229\) −5.25900 5.84071i −0.347524 0.385965i 0.543888 0.839158i \(-0.316952\pi\)
−0.891412 + 0.453193i \(0.850285\pi\)
\(230\) 0.719959 1.24701i 0.0474727 0.0822251i
\(231\) 20.7100 10.8919i 1.36262 0.716637i
\(232\) 1.98527 + 3.43859i 0.130339 + 0.225754i
\(233\) −2.03006 + 6.24789i −0.132994 + 0.409313i −0.995273 0.0971212i \(-0.969037\pi\)
0.862279 + 0.506434i \(0.169037\pi\)
\(234\) 2.58121 2.04686i 0.168739 0.133807i
\(235\) −12.8556 9.34013i −0.838606 0.609283i
\(236\) −14.5878 + 16.2014i −0.949584 + 1.05462i
\(237\) −5.61252 4.84341i −0.364572 0.314613i
\(238\) 4.58412 2.04098i 0.297144 0.132297i
\(239\) 2.67031 + 25.4063i 0.172728 + 1.64340i 0.646617 + 0.762815i \(0.276183\pi\)
−0.473889 + 0.880585i \(0.657150\pi\)
\(240\) 15.8048 + 4.76966i 1.02019 + 0.307880i
\(241\) 1.49099 + 2.58247i 0.0960432 + 0.166352i 0.910044 0.414513i \(-0.136048\pi\)
−0.814000 + 0.580864i \(0.802715\pi\)
\(242\) −3.12437 + 0.277103i −0.200842 + 0.0178129i
\(243\) 1.63880 + 15.5021i 0.105129 + 0.994459i
\(244\) 5.10344 15.7068i 0.326714 1.00552i
\(245\) 23.7360 + 10.5680i 1.51644 + 0.675163i
\(246\) 1.93672 2.78729i 0.123481 0.177711i
\(247\) 6.11086 + 1.29890i 0.388825 + 0.0826473i
\(248\) −5.31695 1.13015i −0.337627 0.0717647i
\(249\) 11.2193 + 0.940744i 0.710993 + 0.0596172i
\(250\) −1.87888 0.836532i −0.118831 0.0529070i
\(251\) 3.60577 11.0974i 0.227594 0.700463i −0.770424 0.637532i \(-0.779955\pi\)
0.998018 0.0629308i \(-0.0200447\pi\)
\(252\) −23.4256 + 0.987495i −1.47567 + 0.0622064i
\(253\) −3.40953 + 5.15792i −0.214355 + 0.324276i
\(254\) −0.349364 0.605116i −0.0219211 0.0379684i
\(255\) 14.7738 13.8768i 0.925168 0.869001i
\(256\) −1.03320 9.83028i −0.0645752 0.614392i
\(257\) 18.9327 8.42939i 1.18099 0.525811i 0.280148 0.959957i \(-0.409616\pi\)
0.900843 + 0.434146i \(0.142950\pi\)
\(258\) 0.0910993 0.477873i 0.00567159 0.0297511i
\(259\) −21.1083 + 23.4432i −1.31161 + 1.45669i
\(260\) 16.1919 + 11.7641i 1.00418 + 0.729578i
\(261\) −9.91240 3.92182i −0.613562 0.242755i
\(262\) 0.352231 1.08406i 0.0217609 0.0669732i
\(263\) −4.54273 7.86823i −0.280117 0.485176i 0.691297 0.722571i \(-0.257040\pi\)
−0.971413 + 0.237395i \(0.923706\pi\)
\(264\) 6.02193 + 2.22267i 0.370624 + 0.136796i
\(265\) 2.12883 3.68724i 0.130773 0.226505i
\(266\) 1.26084 + 1.40031i 0.0773073 + 0.0858585i
\(267\) −9.70113 12.7776i −0.593700 0.781974i
\(268\) −0.349083 + 3.32131i −0.0213237 + 0.202881i
\(269\) 2.45399 + 7.55261i 0.149623 + 0.460491i 0.997576 0.0695792i \(-0.0221656\pi\)
−0.847954 + 0.530070i \(0.822166\pi\)
\(270\) 3.73109 1.47881i 0.227067 0.0899973i
\(271\) −3.01249 2.18870i −0.182995 0.132954i 0.492516 0.870303i \(-0.336077\pi\)
−0.675512 + 0.737349i \(0.736077\pi\)
\(272\) −13.8875 6.18310i −0.842052 0.374906i
\(273\) −26.0107 7.84966i −1.57424 0.475083i
\(274\) −0.155300 + 0.268987i −0.00938201 + 0.0162501i
\(275\) −6.87801 3.57526i −0.414760 0.215596i
\(276\) 5.29890 3.21000i 0.318956 0.193219i
\(277\) 3.81540 0.810988i 0.229245 0.0487275i −0.0918567 0.995772i \(-0.529280\pi\)
0.321102 + 0.947045i \(0.395947\pi\)
\(278\) −0.665523 + 0.483531i −0.0399154 + 0.0290003i
\(279\) 13.0702 6.49206i 0.782495 0.388670i
\(280\) 3.80987 + 11.7256i 0.227684 + 0.700738i
\(281\) 0.0265130 0.0294457i 0.00158163 0.00175658i −0.742353 0.670008i \(-0.766290\pi\)
0.743935 + 0.668252i \(0.232957\pi\)
\(282\) 1.23394 + 2.62144i 0.0734803 + 0.156105i
\(283\) −0.668341 6.35884i −0.0397288 0.377994i −0.996263 0.0863734i \(-0.972472\pi\)
0.956534 0.291621i \(-0.0941945\pi\)
\(284\) 7.37107 + 8.18641i 0.437393 + 0.485774i
\(285\) 6.67024 + 3.66595i 0.395111 + 0.217152i
\(286\) 2.81161 + 2.31490i 0.166254 + 0.136883i
\(287\) −27.9925 −1.65235
\(288\) −6.79859 6.93914i −0.400611 0.408893i
\(289\) −1.34634 + 0.978174i −0.0791965 + 0.0575397i
\(290\) −0.286886 + 2.72954i −0.0168465 + 0.160284i
\(291\) −9.72018 8.38819i −0.569807 0.491724i
\(292\) −7.59455 1.61427i −0.444438 0.0944681i
\(293\) −21.3837 + 9.52066i −1.24925 + 0.556203i −0.921433 0.388538i \(-0.872980\pi\)
−0.327819 + 0.944741i \(0.606314\pi\)
\(294\) −2.86471 3.77316i −0.167073 0.220055i
\(295\) −30.1054 + 6.39910i −1.75280 + 0.372570i
\(296\) −8.65375 −0.502989
\(297\) −16.3757 + 5.36981i −0.950217 + 0.311588i
\(298\) 5.75282 0.333252
\(299\) 7.02221 1.49262i 0.406105 0.0863202i
\(300\) 4.69683 + 6.18630i 0.271172 + 0.357166i
\(301\) −3.66533 + 1.63191i −0.211266 + 0.0940616i
\(302\) 3.08994 + 0.656788i 0.177806 + 0.0377939i
\(303\) −17.9878 15.5228i −1.03337 0.891763i
\(304\) 0.596696 5.67718i 0.0342229 0.325609i
\(305\) 18.8625 13.7044i 1.08007 0.784713i
\(306\) −3.57937 + 0.919948i −0.204619 + 0.0525899i
\(307\) 29.1494 1.66365 0.831823 0.555042i \(-0.187298\pi\)
0.831823 + 0.555042i \(0.187298\pi\)
\(308\) −6.50506 25.0915i −0.370660 1.42972i
\(309\) −7.70376 4.23397i −0.438252 0.240862i
\(310\) −2.51417 2.79227i −0.142795 0.158590i
\(311\) 2.05981 + 19.5978i 0.116801 + 1.11129i 0.883224 + 0.468952i \(0.155368\pi\)
−0.766423 + 0.642337i \(0.777965\pi\)
\(312\) −3.17422 6.74345i −0.179705 0.381772i
\(313\) 0.895549 0.994608i 0.0506194 0.0562185i −0.717303 0.696761i \(-0.754624\pi\)
0.767923 + 0.640542i \(0.221290\pi\)
\(314\) 0.0293235 + 0.0902485i 0.00165482 + 0.00509302i
\(315\) −27.5747 18.3110i −1.55366 1.03171i
\(316\) −6.64387 + 4.82706i −0.373747 + 0.271543i
\(317\) −3.91346 + 0.831832i −0.219802 + 0.0467203i −0.316496 0.948594i \(-0.602506\pi\)
0.0966942 + 0.995314i \(0.469173\pi\)
\(318\) −0.663980 + 0.402230i −0.0372342 + 0.0225560i
\(319\) 1.93817 11.6246i 0.108517 0.650855i
\(320\) 8.28080 14.3428i 0.462911 0.801785i
\(321\) −4.60806 1.39065i −0.257197 0.0776184i
\(322\) 1.97812 + 0.880714i 0.110236 + 0.0490803i
\(323\) −5.67011 4.11958i −0.315493 0.229219i
\(324\) 17.1331 + 2.15600i 0.951838 + 0.119778i
\(325\) 2.78134 + 8.56008i 0.154281 + 0.474828i
\(326\) −0.397555 + 3.78248i −0.0220185 + 0.209492i
\(327\) 18.1794 + 23.9444i 1.00532 + 1.32413i
\(328\) −5.13825 5.70660i −0.283712 0.315094i
\(329\) 11.9478 20.6942i 0.658704 1.14091i
\(330\) 2.46452 + 3.68965i 0.135667 + 0.203109i
\(331\) −1.59017 2.75425i −0.0874034 0.151387i 0.819009 0.573780i \(-0.194524\pi\)
−0.906413 + 0.422393i \(0.861190\pi\)
\(332\) 3.85401 11.8614i 0.211516 0.650980i
\(333\) 18.2044 14.4358i 0.997596 0.791078i
\(334\) 4.36353 + 3.17029i 0.238762 + 0.173471i
\(335\) −3.15477 + 3.50372i −0.172363 + 0.191429i
\(336\) −4.64891 + 24.3864i −0.253619 + 1.33039i
\(337\) −16.6245 + 7.40171i −0.905595 + 0.403197i −0.806058 0.591837i \(-0.798403\pi\)
−0.0995376 + 0.995034i \(0.531736\pi\)
\(338\) −0.0545411 0.518924i −0.00296665 0.0282258i
\(339\) −1.19133 + 1.11901i −0.0647043 + 0.0607761i
\(340\) −11.2265 19.4449i −0.608844 1.05455i
\(341\) 10.0512 + 12.6206i 0.544303 + 0.683445i
\(342\) −0.743895 1.17156i −0.0402252 0.0633510i
\(343\) −3.26270 + 10.0416i −0.176169 + 0.542193i
\(344\) −1.00548 0.447669i −0.0542120 0.0241367i
\(345\) 8.71578 + 0.730824i 0.469242 + 0.0393462i
\(346\) 0.422305 + 0.0897637i 0.0227033 + 0.00482573i
\(347\) 26.8150 + 5.69971i 1.43951 + 0.305977i 0.860543 0.509377i \(-0.170124\pi\)
0.578963 + 0.815354i \(0.303457\pi\)
\(348\) −6.73823 + 9.69754i −0.361207 + 0.519843i
\(349\) 20.9252 + 9.31652i 1.12010 + 0.498702i 0.881390 0.472389i \(-0.156608\pi\)
0.238712 + 0.971090i \(0.423275\pi\)
\(350\) −0.838893 + 2.58185i −0.0448407 + 0.138006i
\(351\) 17.9266 + 8.89072i 0.956849 + 0.474552i
\(352\) 5.92237 8.95933i 0.315663 0.477534i
\(353\) 14.8524 + 25.7250i 0.790511 + 1.36921i 0.925651 + 0.378379i \(0.123518\pi\)
−0.135140 + 0.990827i \(0.543148\pi\)
\(354\) 5.37252 + 1.62135i 0.285546 + 0.0861738i
\(355\) 1.62561 + 15.4666i 0.0862783 + 0.820883i
\(356\) −16.2353 + 7.22842i −0.860469 + 0.383105i
\(357\) 23.0756 + 19.9135i 1.22129 + 1.05393i
\(358\) 2.51653 2.79489i 0.133003 0.147714i
\(359\) 29.8183 + 21.6643i 1.57375 + 1.14340i 0.923450 + 0.383718i \(0.125356\pi\)
0.650299 + 0.759678i \(0.274644\pi\)
\(360\) −1.32865 8.98255i −0.0700258 0.473422i
\(361\) −5.05804 + 15.5670i −0.266213 + 0.819318i
\(362\) −0.399041 0.691159i −0.0209731 0.0363265i
\(363\) −9.60544 16.4540i −0.504155 0.863613i
\(364\) −15.0485 + 26.0648i −0.788756 + 1.36617i
\(365\) −7.33449 8.14578i −0.383905 0.426370i
\(366\) −4.21757 + 0.533321i −0.220456 + 0.0278772i
\(367\) 2.59864 24.7244i 0.135648 1.29061i −0.688918 0.724839i \(-0.741914\pi\)
0.824566 0.565766i \(-0.191419\pi\)
\(368\) −2.02708 6.23872i −0.105669 0.325216i
\(369\) 20.3286 + 3.43326i 1.05826 + 0.178729i
\(370\) −4.83936 3.51600i −0.251586 0.182788i
\(371\) 5.84904 + 2.60416i 0.303667 + 0.135201i
\(372\) −3.69350 15.7388i −0.191499 0.816017i
\(373\) −9.13952 + 15.8301i −0.473227 + 0.819653i −0.999530 0.0306440i \(-0.990244\pi\)
0.526304 + 0.850297i \(0.323578\pi\)
\(374\) −1.82523 3.65539i −0.0943805 0.189016i
\(375\) −0.263138 12.4900i −0.0135884 0.644981i
\(376\) 6.41186 1.36288i 0.330667 0.0702853i
\(377\) −11.0704 + 8.04312i −0.570155 + 0.414242i
\(378\) 2.79810 + 5.34754i 0.143919 + 0.275048i
\(379\) −9.72145 29.9196i −0.499357 1.53686i −0.810054 0.586355i \(-0.800562\pi\)
0.310697 0.950509i \(-0.399438\pi\)
\(380\) 5.64172 6.26577i 0.289414 0.321427i
\(381\) 2.42181 3.48543i 0.124073 0.178564i
\(382\) 0.499001 + 4.74767i 0.0255311 + 0.242912i
\(383\) −8.31848 9.23861i −0.425054 0.472071i 0.492137 0.870518i \(-0.336216\pi\)
−0.917191 + 0.398447i \(0.869549\pi\)
\(384\) −12.1770 + 7.37668i −0.621407 + 0.376440i
\(385\) 13.3915 34.0559i 0.682495 1.73565i
\(386\) −6.28449 −0.319872
\(387\) 2.86196 0.735564i 0.145482 0.0373908i
\(388\) −11.5064 + 8.35986i −0.584147 + 0.424408i
\(389\) −0.765115 + 7.27958i −0.0387929 + 0.369090i 0.957853 + 0.287258i \(0.0927437\pi\)
−0.996646 + 0.0818317i \(0.973923\pi\)
\(390\) 0.964756 5.06075i 0.0488523 0.256261i
\(391\) −7.87788 1.67449i −0.398401 0.0846829i
\(392\) −9.79160 + 4.35950i −0.494551 + 0.220188i
\(393\) 6.86895 0.868594i 0.346493 0.0438148i
\(394\) −5.08317 + 1.08046i −0.256087 + 0.0544329i
\(395\) −11.5938 −0.583346
\(396\) 1.64661 + 19.0196i 0.0827455 + 0.955770i
\(397\) 34.2087 1.71688 0.858442 0.512911i \(-0.171433\pi\)
0.858442 + 0.512911i \(0.171433\pi\)
\(398\) 6.99965 1.48782i 0.350861 0.0745777i
\(399\) −4.43409 + 10.5519i −0.221982 + 0.528254i
\(400\) 7.51315 3.34507i 0.375658 0.167254i
\(401\) −7.31241 1.55430i −0.365164 0.0776181i 0.0216754 0.999765i \(-0.493100\pi\)
−0.386840 + 0.922147i \(0.626433\pi\)
\(402\) 0.811798 0.282808i 0.0404888 0.0141052i
\(403\) 1.95817 18.6307i 0.0975432 0.928061i
\(404\) −21.2932 + 15.4704i −1.05938 + 0.769682i
\(405\) 17.7793 + 16.6797i 0.883461 + 0.828821i
\(406\) −4.12723 −0.204831
\(407\) 19.8294 + 16.3262i 0.982904 + 0.809260i
\(408\) 0.176117 + 8.35950i 0.00871910 + 0.413857i
\(409\) 1.61274 + 1.79113i 0.0797447 + 0.0885655i 0.781697 0.623659i \(-0.214355\pi\)
−0.701952 + 0.712224i \(0.747688\pi\)
\(410\) −0.554835 5.27891i −0.0274014 0.260707i
\(411\) −1.88005 0.157643i −0.0927360 0.00777598i
\(412\) −6.51588 + 7.23662i −0.321014 + 0.356522i
\(413\) −14.3023 44.0180i −0.703771 2.16598i
\(414\) −1.32851 0.882200i −0.0652929 0.0433578i
\(415\) 14.2446 10.3493i 0.699239 0.508027i
\(416\) −12.1976 + 2.59268i −0.598037 + 0.127117i
\(417\) −4.37905 2.40672i −0.214443 0.117857i
\(418\) 1.09366 1.07602i 0.0534929 0.0526301i
\(419\) 5.60088 9.70101i 0.273621 0.473925i −0.696165 0.717881i \(-0.745112\pi\)
0.969786 + 0.243956i \(0.0784453\pi\)
\(420\) −26.7265 + 25.1039i −1.30412 + 1.22494i
\(421\) −6.30791 2.80846i −0.307429 0.136876i 0.247223 0.968959i \(-0.420482\pi\)
−0.554652 + 0.832083i \(0.687149\pi\)
\(422\) −1.90781 1.38611i −0.0928708 0.0674746i
\(423\) −11.2148 + 13.5630i −0.545281 + 0.659456i
\(424\) 0.542748 + 1.67041i 0.0263582 + 0.0811222i
\(425\) 1.05546 10.0420i 0.0511974 0.487110i
\(426\) 1.09853 2.61418i 0.0532238 0.126657i
\(427\) 23.4605 + 26.0555i 1.13533 + 1.26091i
\(428\) −2.66600 + 4.61765i −0.128866 + 0.223202i
\(429\) −5.44875 + 21.4405i −0.263068 + 1.03516i
\(430\) −0.380399 0.658871i −0.0183445 0.0317736i
\(431\) −9.01729 + 27.7524i −0.434348 + 1.33678i 0.459406 + 0.888226i \(0.348062\pi\)
−0.893754 + 0.448558i \(0.851938\pi\)
\(432\) 6.36707 17.1396i 0.306336 0.824627i
\(433\) 29.5582 + 21.4753i 1.42048 + 1.03204i 0.991693 + 0.128630i \(0.0410581\pi\)
0.428785 + 0.903407i \(0.358942\pi\)
\(434\) 3.78075 4.19895i 0.181482 0.201556i
\(435\) −15.7431 + 5.48447i −0.754825 + 0.262960i
\(436\) 30.4240 13.5457i 1.45705 0.648719i
\(437\) −0.316129 3.00777i −0.0151225 0.143881i
\(438\) 0.456616 + 1.94573i 0.0218179 + 0.0929707i
\(439\) 10.7487 + 18.6173i 0.513009 + 0.888557i 0.999886 + 0.0150869i \(0.00480250\pi\)
−0.486877 + 0.873470i \(0.661864\pi\)
\(440\) 9.40081 3.52121i 0.448166 0.167867i
\(441\) 13.3257 25.5048i 0.634558 1.21451i
\(442\) −1.46597 + 4.51180i −0.0697293 + 0.214605i
\(443\) −30.5535 13.6033i −1.45164 0.646313i −0.478830 0.877908i \(-0.658939\pi\)
−0.972812 + 0.231595i \(0.925605\pi\)
\(444\) −10.9611 23.2862i −0.520191 1.10512i
\(445\) −24.5412 5.21639i −1.16336 0.247281i
\(446\) 2.05062 + 0.435873i 0.0970998 + 0.0206392i
\(447\) 14.8822 + 31.6163i 0.703902 + 1.49540i
\(448\) 22.7518 + 10.1298i 1.07492 + 0.478586i
\(449\) 12.2165 37.5984i 0.576530 1.77438i −0.0543777 0.998520i \(-0.517318\pi\)
0.630908 0.775858i \(-0.282682\pi\)
\(450\) 0.925876 1.77208i 0.0436462 0.0835367i
\(451\) 1.00777 + 22.7700i 0.0474540 + 1.07220i
\(452\) 0.905290 + 1.56801i 0.0425813 + 0.0737529i
\(453\) 4.38392 + 18.6808i 0.205974 + 0.877699i
\(454\) 0.564564 + 5.37146i 0.0264963 + 0.252095i
\(455\) −38.8164 + 17.2822i −1.81974 + 0.810201i
\(456\) −2.96503 + 1.03293i −0.138850 + 0.0483716i
\(457\) 25.1006 27.8771i 1.17416 1.30404i 0.230516 0.973069i \(-0.425959\pi\)
0.943642 0.330967i \(-0.107375\pi\)
\(458\) 1.81309 + 1.31729i 0.0847204 + 0.0615529i
\(459\) −14.3154 17.2916i −0.668188 0.807104i
\(460\) 2.99402 9.21464i 0.139597 0.429635i
\(461\) −9.68265 16.7708i −0.450966 0.781096i 0.547480 0.836818i \(-0.315587\pi\)
−0.998446 + 0.0557228i \(0.982254\pi\)
\(462\) −5.13063 + 4.26576i −0.238699 + 0.198461i
\(463\) 7.17464 12.4268i 0.333434 0.577524i −0.649749 0.760149i \(-0.725126\pi\)
0.983183 + 0.182625i \(0.0584594\pi\)
\(464\) 8.36637 + 9.29180i 0.388399 + 0.431361i
\(465\) 8.84174 21.0408i 0.410026 0.975743i
\(466\) 0.195809 1.86300i 0.00907067 0.0863017i
\(467\) −6.89755 21.2285i −0.319180 0.982336i −0.973999 0.226551i \(-0.927255\pi\)
0.654819 0.755786i \(-0.272745\pi\)
\(468\) 14.1253 17.0829i 0.652940 0.789657i
\(469\) −5.73585 4.16734i −0.264857 0.192430i
\(470\) 4.13938 + 1.84297i 0.190935 + 0.0850099i
\(471\) −0.420129 + 0.394623i −0.0193585 + 0.0181833i
\(472\) 6.34827 10.9955i 0.292203 0.506110i
\(473\) 1.45940 + 2.92274i 0.0671034 + 0.134388i
\(474\) 1.85257 + 1.01817i 0.0850915 + 0.0467660i
\(475\) 3.70883 0.788336i 0.170173 0.0361714i
\(476\) 27.3160 19.8462i 1.25203 0.909651i
\(477\) −3.92825 2.60856i −0.179862 0.119438i
\(478\) −2.25103 6.92795i −0.102960 0.316877i
\(479\) −15.5651 + 17.2868i −0.711186 + 0.789852i −0.985115 0.171898i \(-0.945010\pi\)
0.273929 + 0.961750i \(0.411677\pi\)
\(480\) −15.1393 1.26944i −0.691013 0.0579419i
\(481\) −3.11742 29.6603i −0.142142 1.35239i
\(482\) −0.568967 0.631902i −0.0259157 0.0287823i
\(483\) 0.277036 + 13.1497i 0.0126056 + 0.598331i
\(484\) −20.1760 + 6.19475i −0.917091 + 0.281580i
\(485\) −20.0790 −0.911740
\(486\) −1.37614 4.22664i −0.0624231 0.191724i
\(487\) −0.219083 + 0.159173i −0.00992760 + 0.00721282i −0.592738 0.805395i \(-0.701953\pi\)
0.582810 + 0.812608i \(0.301953\pi\)
\(488\) −1.00536 + 9.56538i −0.0455106 + 0.433004i
\(489\) −21.8162 + 7.60017i −0.986563 + 0.343691i
\(490\) −7.24692 1.54038i −0.327382 0.0695873i
\(491\) −3.84288 + 1.71096i −0.173427 + 0.0772146i −0.491614 0.870813i \(-0.663593\pi\)
0.318187 + 0.948028i \(0.396926\pi\)
\(492\) 8.84753 21.0546i 0.398878 0.949213i
\(493\) 15.0157 3.19169i 0.676274 0.143746i
\(494\) −1.78143 −0.0801504
\(495\) −13.9020 + 23.0894i −0.624850 + 1.03779i
\(496\) −17.1173 −0.768589
\(497\) −22.8754 + 4.86233i −1.02610 + 0.218105i
\(498\) −3.18502 + 0.402753i −0.142724 + 0.0180478i
\(499\) −14.0359 + 6.24920i −0.628334 + 0.279752i −0.696096 0.717949i \(-0.745081\pi\)
0.0677612 + 0.997702i \(0.478414\pi\)
\(500\) −13.5365 2.87728i −0.605373 0.128676i
\(501\) −6.13510 + 32.1824i −0.274096 + 1.43781i
\(502\) −0.347793 + 3.30903i −0.0155228 + 0.147689i
\(503\) −3.16786 + 2.30159i −0.141248 + 0.102623i −0.656165 0.754617i \(-0.727823\pi\)
0.514917 + 0.857240i \(0.327823\pi\)
\(504\) 13.2249 3.39899i 0.589085 0.151403i
\(505\) −37.1573 −1.65348
\(506\) 0.645186 1.64077i 0.0286820 0.0729411i
\(507\) 2.71081 1.64217i 0.120391 0.0729314i
\(508\) −3.14596 3.49394i −0.139579 0.155019i
\(509\) −2.98422 28.3930i −0.132273 1.25850i −0.836280 0.548303i \(-0.815274\pi\)
0.704006 0.710194i \(-0.251393\pi\)
\(510\) −3.29796 + 4.74636i −0.146036 + 0.210172i
\(511\) 11.0295 12.2494i 0.487914 0.541884i
\(512\) 5.95109 + 18.3156i 0.263004 + 0.809442i
\(513\) 4.51427 7.11906i 0.199310 0.314314i
\(514\) −4.78092 + 3.47354i −0.210877 + 0.153211i
\(515\) −13.4471 + 2.85826i −0.592549 + 0.125950i
\(516\) −0.0689482 3.27266i −0.00303528 0.144071i
\(517\) −17.2635 8.97371i −0.759246 0.394663i
\(518\) 4.49763 7.79012i 0.197615 0.342278i
\(519\) 0.599153 + 2.55312i 0.0262999 + 0.112069i
\(520\) −10.6482 4.74089i −0.466955 0.207902i
\(521\) 11.5485 + 8.39049i 0.505950 + 0.367594i 0.811285 0.584651i \(-0.198768\pi\)
−0.305335 + 0.952245i \(0.598768\pi\)
\(522\) 2.99725 + 0.506201i 0.131186 + 0.0221558i
\(523\) −10.2462 31.5345i −0.448034 1.37891i −0.879122 0.476597i \(-0.841870\pi\)
0.431088 0.902310i \(-0.358130\pi\)
\(524\) 0.801704 7.62771i 0.0350226 0.333218i
\(525\) −16.3595 + 2.06869i −0.713986 + 0.0902850i
\(526\) 1.73352 + 1.92527i 0.0755850 + 0.0839456i
\(527\) −10.5080 + 18.2004i −0.457736 + 0.792822i
\(528\) 20.0041 + 2.90362i 0.870565 + 0.126364i
\(529\) 9.76231 + 16.9088i 0.424448 + 0.735166i
\(530\) −0.375166 + 1.15464i −0.0162962 + 0.0501545i
\(531\) 4.98775 + 33.7206i 0.216450 + 1.46335i
\(532\) 10.2575 + 7.45252i 0.444720 + 0.323108i
\(533\) 17.7081 19.6668i 0.767023 0.851865i
\(534\) 3.46334 + 2.98874i 0.149873 + 0.129336i
\(535\) −6.87672 + 3.06171i −0.297307 + 0.132369i
\(536\) −0.203299 1.93427i −0.00878120 0.0835475i
\(537\) 21.8702 + 6.60013i 0.943770 + 0.284816i
\(538\) −1.13222 1.96107i −0.0488136 0.0845476i
\(539\) 30.6613 + 8.48344i 1.32068 + 0.365407i
\(540\) 22.4881 14.9528i 0.967733 0.643466i
\(541\) −8.79490 + 27.0679i −0.378122 + 1.16374i 0.563226 + 0.826303i \(0.309560\pi\)
−0.941348 + 0.337437i \(0.890440\pi\)
\(542\) 0.969992 + 0.431868i 0.0416647 + 0.0185503i
\(543\) 2.76618 3.98103i 0.118708 0.170842i
\(544\) 13.6839 + 2.90860i 0.586693 + 0.124705i
\(545\) 45.9888 + 9.77523i 1.96995 + 0.418725i
\(546\) 7.72020 + 0.647344i 0.330394 + 0.0277038i
\(547\) −28.0884 12.5058i −1.20098 0.534709i −0.293965 0.955816i \(-0.594975\pi\)
−0.907011 + 0.421108i \(0.861641\pi\)
\(548\) −0.645829 + 1.98766i −0.0275884 + 0.0849085i
\(549\) −13.8416 21.7993i −0.590746 0.930370i
\(550\) 2.13036 + 0.589432i 0.0908388 + 0.0251335i
\(551\) 2.88228 + 4.99226i 0.122789 + 0.212678i
\(552\) −2.62986 + 2.47020i −0.111934 + 0.105139i
\(553\) −1.82240 17.3390i −0.0774963 0.737328i
\(554\) −1.01610 + 0.452397i −0.0431700 + 0.0192205i
\(555\) 6.80410 35.6918i 0.288818 1.51503i
\(556\) −3.70382 + 4.11351i −0.157077 + 0.174452i
\(557\) 5.90145 + 4.28765i 0.250052 + 0.181674i 0.705750 0.708461i \(-0.250610\pi\)
−0.455698 + 0.890135i \(0.650610\pi\)
\(558\) −3.26063 + 2.58563i −0.138033 + 0.109458i
\(559\) 1.17215 3.60751i 0.0495767 0.152581i
\(560\) 19.4122 + 33.6230i 0.820316 + 1.42083i
\(561\) 15.3675 19.4874i 0.648817 0.822757i
\(562\) −0.00564923 + 0.00978475i −0.000238298 + 0.000412745i
\(563\) −24.4724 27.1794i −1.03139 1.14547i −0.989231 0.146363i \(-0.953243\pi\)
−0.0421581 0.999111i \(-0.513423\pi\)
\(564\) 11.7888 + 15.5273i 0.496399 + 0.653817i
\(565\) −0.267186 + 2.54211i −0.0112406 + 0.106947i
\(566\) 0.563400 + 1.73397i 0.0236815 + 0.0728841i
\(567\) −22.1505 + 29.2115i −0.930233 + 1.22677i
\(568\) −5.19020 3.77090i −0.217776 0.158224i
\(569\) 0.138387 + 0.0616140i 0.00580150 + 0.00258299i 0.409635 0.912249i \(-0.365656\pi\)
−0.403834 + 0.914832i \(0.632323\pi\)
\(570\) −2.07778 0.627046i −0.0870288 0.0262641i
\(571\) −21.6127 + 37.4343i −0.904463 + 1.56658i −0.0828262 + 0.996564i \(0.526395\pi\)
−0.821637 + 0.570012i \(0.806939\pi\)
\(572\) 21.7437 + 11.3026i 0.909150 + 0.472584i
\(573\) −24.8014 + 15.0243i −1.03609 + 0.627651i
\(574\) 7.80760 1.65956i 0.325883 0.0692686i
\(575\) 3.52502 2.56108i 0.147003 0.106804i
\(576\) −15.2803 10.1469i −0.636677 0.422786i
\(577\) 9.00017 + 27.6997i 0.374682 + 1.15315i 0.943693 + 0.330822i \(0.107326\pi\)
−0.569011 + 0.822330i \(0.692674\pi\)
\(578\) 0.317526 0.352648i 0.0132073 0.0146682i
\(579\) −16.2576 34.5383i −0.675642 1.43536i
\(580\) 1.93038 + 18.3664i 0.0801547 + 0.762621i
\(581\) 17.7169 + 19.6766i 0.735019 + 0.816322i
\(582\) 3.20842 + 1.76334i 0.132993 + 0.0730929i
\(583\) 1.90773 4.85155i 0.0790103 0.200931i
\(584\) 4.52173 0.187111
\(585\) 30.3086 7.78974i 1.25311 0.322066i
\(586\) 5.39985 3.92322i 0.223066 0.162067i
\(587\) 2.37226 22.5706i 0.0979137 0.931586i −0.829741 0.558148i \(-0.811512\pi\)
0.927655 0.373438i \(-0.121821\pi\)
\(588\) −24.1332 20.8262i −0.995238 0.858857i
\(589\) −7.71934 1.64080i −0.318070 0.0676078i
\(590\) 8.01754 3.56964i 0.330077 0.146960i
\(591\) −19.0878 25.1410i −0.785169 1.03416i
\(592\) −26.6554 + 5.66579i −1.09553 + 0.232863i
\(593\) −22.9308 −0.941656 −0.470828 0.882225i \(-0.656045\pi\)
−0.470828 + 0.882225i \(0.656045\pi\)
\(594\) 4.24913 2.46858i 0.174344 0.101287i
\(595\) 47.6673 1.95417
\(596\) 37.8633 8.04810i 1.55094 0.329663i
\(597\) 26.2844 + 34.6197i 1.07575 + 1.41689i
\(598\) −1.87012 + 0.832633i −0.0764750 + 0.0340489i
\(599\) 12.2275 + 2.59904i 0.499603 + 0.106194i 0.450819 0.892615i \(-0.351132\pi\)
0.0487841 + 0.998809i \(0.484465\pi\)
\(600\) −3.42463 2.95534i −0.139810 0.120651i
\(601\) −2.34968 + 22.3557i −0.0958453 + 0.911907i 0.835921 + 0.548849i \(0.184934\pi\)
−0.931767 + 0.363058i \(0.881733\pi\)
\(602\) 0.925574 0.672469i 0.0377236 0.0274078i
\(603\) 3.65433 + 3.72987i 0.148816 + 0.151892i
\(604\) 21.2559 0.864892
\(605\) −28.1843 9.66704i −1.14585 0.393021i
\(606\) 5.93738 + 3.26317i 0.241190 + 0.132557i
\(607\) 17.8690 + 19.8455i 0.725279 + 0.805504i 0.987183 0.159590i \(-0.0510173\pi\)
−0.261905 + 0.965094i \(0.584351\pi\)
\(608\) 0.549118 + 5.22451i 0.0222697 + 0.211882i
\(609\) −10.6769 22.6824i −0.432649 0.919137i
\(610\) −4.44861 + 4.94068i −0.180119 + 0.200042i
\(611\) 6.98102 + 21.4854i 0.282422 + 0.869205i
\(612\) −22.2714 + 11.0623i −0.900266 + 0.447167i
\(613\) 35.1797 25.5595i 1.42089 1.03234i 0.429269 0.903176i \(-0.358771\pi\)
0.991623 0.129163i \(-0.0412289\pi\)
\(614\) −8.13027 + 1.72814i −0.328111 + 0.0697422i
\(615\) 27.5765 16.7055i 1.11199 0.673629i
\(616\) 6.74380 + 13.5058i 0.271716 + 0.544164i
\(617\) −20.7128 + 35.8756i −0.833864 + 1.44430i 0.0610871 + 0.998132i \(0.480543\pi\)
−0.894952 + 0.446163i \(0.852790\pi\)
\(618\) 2.39972 + 0.724203i 0.0965311 + 0.0291317i
\(619\) 8.14129 + 3.62474i 0.327226 + 0.145690i 0.563773 0.825930i \(-0.309349\pi\)
−0.236547 + 0.971620i \(0.576016\pi\)
\(620\) −20.4539 14.8606i −0.821446 0.596816i
\(621\) 1.41161 9.58344i 0.0566460 0.384570i
\(622\) −1.73638 5.34404i −0.0696227 0.214277i
\(623\) 3.94375 37.5223i 0.158003 1.50330i
\(624\) −14.1924 18.6931i −0.568149 0.748321i
\(625\) −20.8926 23.2036i −0.835704 0.928144i
\(626\) −0.190818 + 0.330506i −0.00762662 + 0.0132097i
\(627\) 8.74285 + 3.22695i 0.349156 + 0.128872i
\(628\) 0.319255 + 0.552966i 0.0127397 + 0.0220657i
\(629\) −10.3390 + 31.8202i −0.412244 + 1.26876i
\(630\) 8.77665 + 3.47247i 0.349670 + 0.138346i
\(631\) 4.58752 + 3.33303i 0.182626 + 0.132686i 0.675342 0.737504i \(-0.263996\pi\)
−0.492716 + 0.870190i \(0.663996\pi\)
\(632\) 3.20023 3.55422i 0.127298 0.141379i
\(633\) 2.68237 14.0707i 0.106615 0.559260i
\(634\) 1.04222 0.464025i 0.0413917 0.0184288i
\(635\) −0.693806 6.60113i −0.0275329 0.261958i
\(636\) −3.80741 + 3.57626i −0.150974 + 0.141808i
\(637\) −18.4693 31.9898i −0.731780 1.26748i
\(638\) 0.148586 + 3.35722i 0.00588257 + 0.132914i
\(639\) 17.2088 0.725429i 0.680770 0.0286975i
\(640\) −6.88034 + 21.1755i −0.271970 + 0.837036i
\(641\) 24.4996 + 10.9079i 0.967678 + 0.430838i 0.828845 0.559478i \(-0.188998\pi\)
0.138833 + 0.990316i \(0.455665\pi\)
\(642\) 1.36771 + 0.114684i 0.0539793 + 0.00452620i
\(643\) −13.8295 2.93955i −0.545382 0.115925i −0.0730222 0.997330i \(-0.523264\pi\)
−0.472360 + 0.881406i \(0.656598\pi\)
\(644\) 14.2515 + 3.02925i 0.561587 + 0.119369i
\(645\) 2.63695 3.79505i 0.103830 0.149430i
\(646\) 1.82572 + 0.812864i 0.0718321 + 0.0319817i
\(647\) −0.393698 + 1.21168i −0.0154779 + 0.0476360i −0.958497 0.285102i \(-0.907973\pi\)
0.943019 + 0.332738i \(0.107973\pi\)
\(648\) −10.0210 + 0.846365i −0.393662 + 0.0332484i
\(649\) −35.2907 + 13.2187i −1.38528 + 0.518878i
\(650\) −1.28325 2.22266i −0.0503334 0.0871799i
\(651\) 32.8571 + 9.91582i 1.28777 + 0.388632i
\(652\) 2.67505 + 25.4514i 0.104763 + 0.996753i
\(653\) −4.41090 + 1.96386i −0.172612 + 0.0768517i −0.491223 0.871034i \(-0.663450\pi\)
0.318612 + 0.947885i \(0.396783\pi\)
\(654\) −6.49010 5.60074i −0.253783 0.219006i
\(655\) 7.24523 8.04664i 0.283094 0.314408i
\(656\) −19.5632 14.2135i −0.763813 0.554942i
\(657\) −9.51212 + 7.54295i −0.371103 + 0.294279i
\(658\) −2.10558 + 6.48030i −0.0820840 + 0.252628i
\(659\) 11.0889 + 19.2065i 0.431961 + 0.748178i 0.997042 0.0768574i \(-0.0244886\pi\)
−0.565082 + 0.825035i \(0.691155\pi\)
\(660\) 21.3825 + 20.8364i 0.832313 + 0.811055i
\(661\) 13.6987 23.7269i 0.532820 0.922871i −0.466446 0.884550i \(-0.654466\pi\)
0.999265 0.0383209i \(-0.0122009\pi\)
\(662\) 0.606812 + 0.673933i 0.0235844 + 0.0261931i
\(663\) −28.5883 + 3.61506i −1.11028 + 0.140397i
\(664\) −0.759228 + 7.22357i −0.0294638 + 0.280329i
\(665\) 5.53132 + 17.0236i 0.214495 + 0.660148i
\(666\) −4.22169 + 5.10566i −0.163587 + 0.197840i
\(667\) 5.35915 + 3.89365i 0.207507 + 0.150763i
\(668\) 33.1547 + 14.7614i 1.28279 + 0.571136i
\(669\) 2.90936 + 12.3974i 0.112482 + 0.479310i
\(670\) 0.672198 1.16428i 0.0259693 0.0449801i
\(671\) 20.3498 20.0215i 0.785594 0.772923i
\(672\) −0.481213 22.8410i −0.0185632 0.881112i
\(673\) −34.4734 + 7.32754i −1.32885 + 0.282456i −0.817010 0.576624i \(-0.804370\pi\)
−0.511842 + 0.859080i \(0.671037\pi\)
\(674\) 4.19805 3.05006i 0.161703 0.117484i
\(675\) 12.1342 + 0.504166i 0.467045 + 0.0194054i
\(676\) −1.08494 3.33910i −0.0417285 0.128427i
\(677\) −29.4752 + 32.7355i −1.13282 + 1.25813i −0.170757 + 0.985313i \(0.554621\pi\)
−0.962067 + 0.272815i \(0.912045\pi\)
\(678\) 0.265942 0.382739i 0.0102134 0.0146990i
\(679\) −3.15617 30.0289i −0.121123 1.15240i
\(680\) 8.74970 + 9.71753i 0.335536 + 0.372650i
\(681\) −28.0600 + 16.9984i −1.07526 + 0.651379i
\(682\) −3.55167 2.92422i −0.136001 0.111974i
\(683\) 42.2845 1.61797 0.808985 0.587829i \(-0.200017\pi\)
0.808985 + 0.587829i \(0.200017\pi\)
\(684\) −6.53510 6.67020i −0.249876 0.255041i
\(685\) −2.38701 + 1.73426i −0.0912029 + 0.0662628i
\(686\) 0.314703 2.99420i 0.0120154 0.114319i
\(687\) −2.54920 + 13.3721i −0.0972580 + 0.510179i
\(688\) −3.39020 0.720610i −0.129250 0.0274730i
\(689\) −5.52972 + 2.46199i −0.210666 + 0.0937943i
\(690\) −2.47431 + 0.312882i −0.0941953 + 0.0119112i
\(691\) 8.28186 1.76036i 0.315057 0.0669674i −0.0476694 0.998863i \(-0.515179\pi\)
0.362726 + 0.931896i \(0.381846\pi\)
\(692\) 2.90507 0.110434
\(693\) −36.7164 17.1617i −1.39474 0.651918i
\(694\) −7.81709 −0.296733
\(695\) −7.64373 + 1.62472i −0.289943 + 0.0616293i
\(696\) 2.66424 6.34013i 0.100988 0.240322i
\(697\) −27.1223 + 12.0756i −1.02733 + 0.457397i
\(698\) −6.38874 1.35797i −0.241818 0.0513999i
\(699\) 10.7452 3.74333i 0.406421 0.141586i
\(700\) −1.90938 + 18.1666i −0.0721678 + 0.686631i
\(701\) −35.2342 + 25.5991i −1.33078 + 0.966865i −0.331046 + 0.943615i \(0.607401\pi\)
−0.999730 + 0.0232503i \(0.992599\pi\)
\(702\) −5.52712 1.41699i −0.208608 0.0534807i
\(703\) −12.5638 −0.473854
\(704\) 7.42078 18.8717i 0.279681 0.711255i
\(705\) 0.579722 + 27.5168i 0.0218336 + 1.03634i
\(706\) −5.66770 6.29462i −0.213307 0.236901i
\(707\) −5.84067 55.5703i −0.219661 2.08994i
\(708\) 37.6286 + 3.15518i 1.41417 + 0.118579i
\(709\) −4.03304 + 4.47915i −0.151464 + 0.168218i −0.814102 0.580722i \(-0.802770\pi\)
0.662638 + 0.748940i \(0.269437\pi\)
\(710\) −1.37036 4.21753i −0.0514287 0.158281i
\(711\) −0.803161 + 12.8153i −0.0301209 + 0.480611i
\(712\) 8.37326 6.08353i 0.313801 0.227990i
\(713\) −8.87056 + 1.88550i −0.332205 + 0.0706124i
\(714\) −7.61677 4.18616i −0.285051 0.156663i
\(715\) 15.4553 + 30.9523i 0.577996 + 1.15755i
\(716\) 12.6530 21.9157i 0.472866 0.819028i
\(717\) 32.2513 30.2934i 1.20445 1.13133i
\(718\) −9.60122 4.27474i −0.358314 0.159532i
\(719\) −32.6897 23.7504i −1.21912 0.885741i −0.223092 0.974797i \(-0.571615\pi\)
−0.996027 + 0.0890560i \(0.971615\pi\)
\(720\) −9.97358 26.7983i −0.371693 0.998715i
\(721\) −6.38836 19.6614i −0.237915 0.732227i
\(722\) 0.487871 4.64179i 0.0181567 0.172749i
\(723\) 2.00092 4.76162i 0.0744151 0.177086i
\(724\) −3.59329 3.99075i −0.133544 0.148315i
\(725\) −4.15251 + 7.19235i −0.154220 + 0.267117i
\(726\) 3.65461 + 4.01985i 0.135635 + 0.149191i
\(727\) −9.36031 16.2125i −0.347155 0.601290i 0.638588 0.769549i \(-0.279519\pi\)
−0.985743 + 0.168259i \(0.946185\pi\)
\(728\) 5.41643 16.6700i 0.200746 0.617833i
\(729\) 19.6687 18.4970i 0.728472 0.685075i
\(730\) 2.52864 + 1.83717i 0.0935893 + 0.0679966i
\(731\) −2.84739 + 3.16235i −0.105315 + 0.116964i
\(732\) −27.0127 + 9.41048i −0.998419 + 0.347822i
\(733\) 0.515414 0.229477i 0.0190373 0.00847594i −0.397196 0.917734i \(-0.630017\pi\)
0.416233 + 0.909258i \(0.363350\pi\)
\(734\) 0.740999 + 7.05013i 0.0273508 + 0.260225i
\(735\) −10.2817 43.8125i −0.379246 1.61605i
\(736\) 3.01837 + 5.22796i 0.111258 + 0.192705i
\(737\) −3.18335 + 4.81575i −0.117260 + 0.177391i
\(738\) −5.87353 + 0.247596i −0.216208 + 0.00911413i
\(739\) 0.602004 1.85278i 0.0221451 0.0681555i −0.939373 0.342896i \(-0.888592\pi\)
0.961518 + 0.274741i \(0.0885921\pi\)
\(740\) −36.7700 16.3711i −1.35169 0.601813i
\(741\) −4.60845 9.79038i −0.169296 0.359659i
\(742\) −1.78579 0.379581i −0.0655583 0.0139349i
\(743\) 26.6669 + 5.66823i 0.978315 + 0.207947i 0.669204 0.743079i \(-0.266635\pi\)
0.309111 + 0.951026i \(0.399968\pi\)
\(744\) 4.00973 + 8.51843i 0.147004 + 0.312301i
\(745\) 49.9236 + 22.2274i 1.82906 + 0.814350i
\(746\) 1.61067 4.95714i 0.0589709 0.181494i
\(747\) −10.4529 16.4623i −0.382452 0.602325i
\(748\) −17.1270 21.5052i −0.626224 0.786308i
\(749\) −5.65985 9.80315i −0.206807 0.358199i
\(750\) 0.813873 + 3.46808i 0.0297184 + 0.126636i
\(751\) −3.16787 30.1402i −0.115597 1.09983i −0.886451 0.462822i \(-0.846837\pi\)
0.770854 0.637011i \(-0.219830\pi\)
\(752\) 18.8576 8.39595i 0.687667 0.306169i
\(753\) −19.0855 + 6.64886i −0.695514 + 0.242298i
\(754\) 2.61088 2.89968i 0.0950828 0.105600i
\(755\) 24.2772 + 17.6384i 0.883539 + 0.641929i
\(756\) 25.8974 + 31.2814i 0.941878 + 1.13769i
\(757\) 3.43224 10.5634i 0.124747 0.383931i −0.869108 0.494622i \(-0.835306\pi\)
0.993855 + 0.110691i \(0.0353064\pi\)
\(758\) 4.48528 + 7.76874i 0.162913 + 0.282173i
\(759\) 10.6864 0.698756i 0.387891 0.0253632i
\(760\) −2.45515 + 4.25244i −0.0890576 + 0.154252i
\(761\) −22.3095 24.7772i −0.808717 0.898171i 0.187745 0.982218i \(-0.439882\pi\)
−0.996462 + 0.0840467i \(0.973216\pi\)
\(762\) −0.468849 + 1.11573i −0.0169846 + 0.0404185i
\(763\) −7.39038 + 70.3147i −0.267550 + 2.54556i
\(764\) 9.92620 + 30.5497i 0.359117 + 1.10525i
\(765\) −34.6166 5.84636i −1.25157 0.211376i
\(766\) 2.86788 + 2.08364i 0.103621 + 0.0752849i
\(767\) 39.9735 + 17.7974i 1.44336 + 0.642625i
\(768\) −12.4788 + 11.7212i −0.450289 + 0.422952i
\(769\) 25.9701 44.9815i 0.936504 1.62207i 0.164575 0.986364i \(-0.447375\pi\)
0.771929 0.635709i \(-0.219292\pi\)
\(770\) −1.71610 + 10.2927i −0.0618439 + 0.370923i
\(771\) −31.4578 17.2891i −1.13293 0.622653i
\(772\) −41.3627 + 8.79191i −1.48868 + 0.316428i
\(773\) 6.24784 4.53932i 0.224719 0.163268i −0.469729 0.882811i \(-0.655648\pi\)
0.694448 + 0.719542i \(0.255648\pi\)
\(774\) −0.754641 + 0.374835i −0.0271250 + 0.0134732i
\(775\) −3.51343 10.8132i −0.126206 0.388423i
\(776\) 5.54240 6.15546i 0.198961 0.220968i
\(777\) 54.4480 + 4.56550i 1.95331 + 0.163786i
\(778\) −0.218171 2.07576i −0.00782182 0.0744197i
\(779\) −7.45990 8.28505i −0.267279 0.296843i
\(780\) −0.730173 34.6580i −0.0261444 1.24096i
\(781\) 4.77872 + 18.4326i 0.170996 + 0.659569i
\(782\) 2.29655 0.0821244
\(783\) 4.97171 + 17.7818i 0.177674 + 0.635468i
\(784\) −27.3060 + 19.8390i −0.975215 + 0.708535i
\(785\) −0.0942245 + 0.896486i −0.00336301 + 0.0319969i
\(786\) −1.86437 + 0.649496i −0.0665000 + 0.0231668i
\(787\) 19.2757 + 4.09717i 0.687104 + 0.146048i 0.538218 0.842806i \(-0.319098\pi\)
0.148886 + 0.988854i \(0.452431\pi\)
\(788\) −31.9444 + 14.2226i −1.13797 + 0.506658i
\(789\) −6.09637 + 14.5076i −0.217037 + 0.516484i
\(790\) 3.23370 0.687345i 0.115050 0.0244546i
\(791\) −3.84382 −0.136670
\(792\) −3.24096 10.6352i −0.115163 0.377906i
\(793\) −33.1470 −1.17709
\(794\) −9.54139 + 2.02808i −0.338611 + 0.0719740i
\(795\) −7.31622 + 0.925151i −0.259479 + 0.0328117i
\(796\) 43.9882 19.5848i 1.55912 0.694165i
\(797\) −13.7193 2.91612i −0.485961 0.103294i −0.0415860 0.999135i \(-0.513241\pi\)
−0.444375 + 0.895841i \(0.646574\pi\)
\(798\) 0.611170 3.20597i 0.0216352 0.113490i
\(799\) 2.64915 25.2050i 0.0937202 0.891689i
\(800\) −6.12297 + 4.44860i −0.216480 + 0.157282i
\(801\) −7.46609 + 26.7655i −0.263801 + 0.945712i
\(802\) 2.13170 0.0752731
\(803\) −10.3612 8.53071i −0.365638 0.301042i
\(804\) 4.94737 2.99705i 0.174480 0.105698i
\(805\) 13.7635 + 15.2859i 0.485099 + 0.538757i
\(806\) 0.558368 + 5.31251i 0.0196677 + 0.187125i
\(807\) 7.84863 11.2956i 0.276285 0.397625i
\(808\) 10.2565 11.3910i 0.360824 0.400736i
\(809\) −6.46767 19.9055i −0.227391 0.699839i −0.998040 0.0625783i \(-0.980068\pi\)
0.770649 0.637260i \(-0.219932\pi\)
\(810\) −5.94782 3.59820i −0.208985 0.126428i
\(811\) −1.57186 + 1.14203i −0.0551956 + 0.0401019i −0.615041 0.788495i \(-0.710861\pi\)
0.559845 + 0.828597i \(0.310861\pi\)
\(812\) −27.1642 + 5.77393i −0.953276 + 0.202625i
\(813\) 0.135848 + 6.44810i 0.00476440 + 0.226145i
\(814\) −6.49866 3.37806i −0.227778 0.118401i
\(815\) −18.0646 + 31.2888i −0.632775 + 1.09600i
\(816\) 6.01562 + 25.6338i 0.210589 + 0.897362i
\(817\) −1.45980 0.649943i −0.0510718 0.0227386i
\(818\) −0.556008 0.403964i −0.0194404 0.0141243i
\(819\) 16.4140 + 44.1033i 0.573552 + 1.54109i
\(820\) −11.0369 33.9680i −0.385424 1.18621i
\(821\) −1.13327 + 10.7824i −0.0395515 + 0.376307i 0.956786 + 0.290794i \(0.0939196\pi\)
−0.996337 + 0.0855130i \(0.972747\pi\)
\(822\) 0.533724 0.0674906i 0.0186158 0.00235400i
\(823\) 31.8960 + 35.4241i 1.11182 + 1.23481i 0.969528 + 0.244982i \(0.0787819\pi\)
0.142296 + 0.989824i \(0.454551\pi\)
\(824\) 2.83556 4.91134i 0.0987815 0.171094i
\(825\) 2.27170 + 13.2328i 0.0790905 + 0.460708i
\(826\) 6.59880 + 11.4295i 0.229601 + 0.397681i
\(827\) 11.5619 35.5838i 0.402046 1.23737i −0.521291 0.853379i \(-0.674549\pi\)
0.923337 0.383991i \(-0.125451\pi\)
\(828\) −9.97808 3.94781i −0.346762 0.137196i
\(829\) −8.66207 6.29336i −0.300846 0.218578i 0.427113 0.904198i \(-0.359531\pi\)
−0.727959 + 0.685621i \(0.759531\pi\)
\(830\) −3.35949 + 3.73110i −0.116610 + 0.129508i
\(831\) −5.11487 4.41396i −0.177433 0.153118i
\(832\) −21.5097 + 9.57674i −0.745715 + 0.332014i
\(833\) 4.33162 + 41.2126i 0.150082 + 1.42793i
\(834\) 1.36408 + 0.411659i 0.0472341 + 0.0142546i
\(835\) 25.6181 + 44.3718i 0.886549 + 1.53555i
\(836\) 5.69284 8.61209i 0.196891 0.297856i
\(837\) −22.6451 11.2309i −0.782730 0.388197i
\(838\) −0.987051 + 3.03783i −0.0340971 + 0.104940i
\(839\) 14.0334 + 6.24809i 0.484488 + 0.215708i 0.634420 0.772988i \(-0.281239\pi\)
−0.149932 + 0.988696i \(0.547906\pi\)
\(840\) 12.1852 17.5367i 0.420428 0.605073i
\(841\) 16.0159 + 3.40429i 0.552274 + 0.117389i
\(842\) 1.92589 + 0.409360i 0.0663704 + 0.0141075i
\(843\) −0.0683892 0.00573448i −0.00235545 0.000197506i
\(844\) −14.4958 6.45394i −0.498966 0.222154i
\(845\) 1.53168 4.71402i 0.0526913 0.162167i
\(846\) 2.32390 4.44783i 0.0798974 0.152920i
\(847\) 10.0272 43.6703i 0.344539 1.50053i
\(848\) 2.76543 + 4.78987i 0.0949654 + 0.164485i
\(849\) −8.07205 + 7.58200i −0.277032 + 0.260213i
\(850\) 0.300963 + 2.86347i 0.0103229 + 0.0982162i
\(851\) −13.1894 + 5.87228i −0.452125 + 0.201299i
\(852\) 3.57299 18.7426i 0.122409 0.642110i
\(853\) 27.7450 30.8139i 0.949970 1.05505i −0.0484478 0.998826i \(-0.515427\pi\)
0.998418 0.0562233i \(-0.0179059\pi\)
\(854\) −8.08825 5.87646i −0.276774 0.201088i
\(855\) −1.92898 13.0412i −0.0659696 0.446000i
\(856\) 0.959576 2.95327i 0.0327976 0.100941i
\(857\) −9.20273 15.9396i −0.314359 0.544486i 0.664942 0.746895i \(-0.268456\pi\)
−0.979301 + 0.202409i \(0.935123\pi\)
\(858\) 0.248633 6.30317i 0.00848818 0.215187i
\(859\) 7.52426 13.0324i 0.256725 0.444660i −0.708638 0.705572i \(-0.750690\pi\)
0.965363 + 0.260912i \(0.0840233\pi\)
\(860\) −3.42542 3.80432i −0.116806 0.129726i
\(861\) 29.3184 + 38.6158i 0.999167 + 1.31602i
\(862\) 0.869760 8.27521i 0.0296241 0.281855i
\(863\) −4.45906 13.7236i −0.151788 0.467155i 0.846033 0.533130i \(-0.178984\pi\)
−0.997821 + 0.0659746i \(0.978984\pi\)
\(864\) −2.45197 + 16.6465i −0.0834178 + 0.566325i
\(865\) 3.31799 + 2.41066i 0.112815 + 0.0819649i
\(866\) −9.51747 4.23745i −0.323417 0.143994i
\(867\) 2.75950 + 0.832779i 0.0937176 + 0.0282827i
\(868\) 19.0095 32.9255i 0.645225 1.11756i
\(869\) −14.0385 + 2.10662i −0.476222 + 0.0714623i
\(870\) 4.06588 2.46306i 0.137846 0.0835054i
\(871\) 6.55636 1.39360i 0.222154 0.0472202i
\(872\) −15.6910 + 11.4002i −0.531365 + 0.386059i
\(873\) −1.39097 + 22.1945i −0.0470773 + 0.751170i
\(874\) 0.266492 + 0.820177i 0.00901421 + 0.0277429i
\(875\) 19.6589 21.8334i 0.664593 0.738105i
\(876\) 5.72736 + 12.1674i 0.193510 + 0.411100i
\(877\) 2.51656 + 23.9435i 0.0849782 + 0.808514i 0.951142 + 0.308754i \(0.0999119\pi\)
−0.866164 + 0.499760i \(0.833421\pi\)
\(878\) −4.10175 4.55545i −0.138427 0.153739i
\(879\) 35.5303 + 19.5274i 1.19841 + 0.658642i
\(880\) 26.6511 17.0010i 0.898409 0.573104i
\(881\) −10.0956 −0.340129 −0.170064 0.985433i \(-0.554398\pi\)
−0.170064 + 0.985433i \(0.554398\pi\)
\(882\) −2.20471 + 7.90374i −0.0742363 + 0.266133i
\(883\) −41.0332 + 29.8124i −1.38088 + 1.00327i −0.384079 + 0.923300i \(0.625481\pi\)
−0.996798 + 0.0799659i \(0.974519\pi\)
\(884\) −3.33666 + 31.7462i −0.112224 + 1.06774i
\(885\) 40.3589 + 34.8283i 1.35665 + 1.17074i
\(886\) 9.32839 + 1.98281i 0.313393 + 0.0666138i
\(887\) −2.35029 + 1.04641i −0.0789149 + 0.0351352i −0.445815 0.895125i \(-0.647086\pi\)
0.366900 + 0.930261i \(0.380419\pi\)
\(888\) 9.06362 + 11.9379i 0.304155 + 0.400609i
\(889\) 9.76319 2.07523i 0.327447 0.0696010i
\(890\) 7.15422 0.239810
\(891\) 24.5590 + 16.9663i 0.822758 + 0.568391i
\(892\) 14.1064 0.472316
\(893\) 9.30898 1.97868i 0.311513 0.0662141i
\(894\) −6.02529 7.93603i −0.201516 0.265421i
\(895\) 32.6375 14.5311i 1.09095 0.485722i
\(896\) −32.7504 6.96130i −1.09411 0.232561i
\(897\) −9.41387 8.12385i −0.314320 0.271247i
\(898\) −1.17833 + 11.2111i −0.0393215 + 0.374119i
\(899\) 13.9843 10.1602i 0.466403 0.338862i
\(900\) 3.61473 12.9586i 0.120491 0.431953i
\(901\) 6.79061 0.226228
\(902\) −1.63102 6.29121i −0.0543071 0.209474i
\(903\) 6.09015 + 3.34713i 0.202668 + 0.111386i
\(904\) −0.705563 0.783607i −0.0234667 0.0260624i
\(905\) −0.792460 7.53975i −0.0263423 0.250630i
\(906\) −2.33025 4.95049i −0.0774174 0.164469i
\(907\) 6.88861 7.65058i 0.228733 0.254033i −0.617843 0.786301i \(-0.711993\pi\)
0.846576 + 0.532268i \(0.178660\pi\)
\(908\) 11.2304 + 34.5636i 0.372693 + 1.14703i
\(909\) −2.57408 + 41.0722i −0.0853768 + 1.36228i
\(910\) 9.80197 7.12155i 0.324932 0.236077i
\(911\) 15.2616 3.24395i 0.505639 0.107477i 0.0519727 0.998649i \(-0.483449\pi\)
0.453666 + 0.891172i \(0.350116\pi\)
\(912\) −8.45665 + 5.12293i −0.280028 + 0.169637i
\(913\) 15.3677 15.1198i 0.508597 0.500394i
\(914\) −5.34829 + 9.26351i −0.176906 + 0.306410i
\(915\) −38.6612 11.6674i −1.27810 0.385713i
\(916\) 13.7761 + 6.13353i 0.455176 + 0.202657i
\(917\) 13.1729 + 9.57070i 0.435009 + 0.316052i
\(918\) 5.01797 + 3.97423i 0.165618 + 0.131169i
\(919\) 3.46483 + 10.6637i 0.114294 + 0.351761i 0.991799 0.127806i \(-0.0407935\pi\)
−0.877505 + 0.479568i \(0.840794\pi\)
\(920\) −0.589812 + 5.61168i −0.0194455 + 0.185012i
\(921\) −30.5300 40.2117i −1.00600 1.32502i
\(922\) 3.69493 + 4.10363i 0.121686 + 0.135146i
\(923\) 11.0549 19.1476i 0.363875 0.630251i
\(924\) −27.8006 + 35.2536i −0.914573 + 1.15976i
\(925\) −9.05036 15.6757i −0.297574 0.515413i
\(926\) −1.26440 + 3.89141i −0.0415506 + 0.127880i
\(927\) 2.22786 + 15.0619i 0.0731726 + 0.494697i
\(928\) −9.30886 6.76328i −0.305578 0.222016i
\(929\) 15.7430 17.4843i 0.516510 0.573643i −0.427309 0.904106i \(-0.640538\pi\)
0.943819 + 0.330463i \(0.107205\pi\)
\(930\) −1.21870 + 6.39282i −0.0399626 + 0.209629i
\(931\) −14.2158 + 6.32929i −0.465904 + 0.207434i
\(932\) −1.31755 12.5356i −0.0431577 0.410618i
\(933\) 24.8778 23.3675i 0.814464 0.765018i
\(934\) 3.18239 + 5.51206i 0.104131 + 0.180360i
\(935\) −1.71609 38.7741i −0.0561221 1.26805i
\(936\) −5.97805 + 11.4417i −0.195399 + 0.373983i
\(937\) 5.76486 17.7424i 0.188330 0.579619i −0.811660 0.584130i \(-0.801436\pi\)
0.999990 + 0.00451068i \(0.00143580\pi\)
\(938\) 1.84689 + 0.822288i 0.0603031 + 0.0268487i
\(939\) −2.31003 0.193697i −0.0753850 0.00632108i
\(940\) 29.8225 + 6.33896i 0.972702 + 0.206754i
\(941\) 31.7826 + 6.75560i 1.03608 + 0.220226i 0.694400 0.719589i \(-0.255670\pi\)
0.341683 + 0.939815i \(0.389003\pi\)
\(942\) 0.0937858 0.134975i 0.00305571 0.00439772i
\(943\) −11.7037 5.21082i −0.381125 0.169688i
\(944\) 12.3551 38.0250i 0.402123 1.23761i
\(945\) 3.62066 + 57.2177i 0.117780 + 1.86129i
\(946\) −0.580329 0.728681i −0.0188681 0.0236915i
\(947\) 1.92137 + 3.32790i 0.0624360 + 0.108142i 0.895554 0.444953i \(-0.146780\pi\)
−0.833118 + 0.553096i \(0.813446\pi\)
\(948\) 13.6175 + 4.10957i 0.442275 + 0.133473i
\(949\) 1.62891 + 15.4980i 0.0528765 + 0.503087i
\(950\) −0.987720 + 0.439761i −0.0320459 + 0.0142677i
\(951\) 5.24633 + 4.52741i 0.170124 + 0.146811i
\(952\) −13.1576 + 14.6130i −0.426441 + 0.473610i
\(953\) −15.4434 11.2203i −0.500262 0.363461i 0.308855 0.951109i \(-0.400054\pi\)
−0.809117 + 0.587648i \(0.800054\pi\)
\(954\) 1.25031 + 0.494682i 0.0404802 + 0.0160159i
\(955\) −14.0134 + 43.1289i −0.453464 + 1.39562i
\(956\) −24.5077 42.4486i −0.792636 1.37289i
\(957\) −18.0662 + 9.50151i −0.583998 + 0.307140i
\(958\) 3.31651 5.74436i 0.107152 0.185592i
\(959\) −2.96887 3.29726i −0.0958698 0.106474i
\(960\) −28.4589 + 3.59869i −0.918507 + 0.116147i
\(961\) 0.766796 7.29558i 0.0247354 0.235341i
\(962\) 2.62793 + 8.08795i 0.0847280 + 0.260766i
\(963\) 2.90791 + 7.81335i 0.0937061 + 0.251782i
\(964\) −4.62879 3.36302i −0.149083 0.108315i
\(965\) −54.5376 24.2817i −1.75563 0.781655i
\(966\) −0.856858 3.65125i −0.0275689 0.117477i
\(967\) −13.2813 + 23.0039i −0.427099 + 0.739757i −0.996614 0.0822239i \(-0.973798\pi\)
0.569515 + 0.821981i \(0.307131\pi\)
\(968\) 10.7433 5.97185i 0.345302 0.191943i
\(969\) 0.255693 + 12.1366i 0.00821406 + 0.389885i
\(970\) 5.60037 1.19040i 0.179817 0.0382213i
\(971\) 41.3472 30.0405i 1.32689 0.964045i 0.327076 0.944998i \(-0.393937\pi\)
0.999819 0.0190472i \(-0.00606329\pi\)
\(972\) −14.9704 25.8933i −0.480175 0.830527i
\(973\) −3.63134 11.1761i −0.116415 0.358290i
\(974\) 0.0516693 0.0573846i 0.00165559 0.00183872i
\(975\) 8.89559 12.8024i 0.284887 0.410004i
\(976\) 3.16592 + 30.1217i 0.101339 + 0.964171i
\(977\) −14.1686 15.7358i −0.453292 0.503432i 0.472570 0.881293i \(-0.343326\pi\)
−0.925862 + 0.377861i \(0.876660\pi\)
\(978\) 5.63434 3.41321i 0.180166 0.109142i
\(979\) −30.6638 1.85712i −0.980020 0.0593539i
\(980\) −49.8521 −1.59247
\(981\) 13.9910 50.1570i 0.446699 1.60139i
\(982\) 0.970410 0.705044i 0.0309670 0.0224989i
\(983\) −5.31375 + 50.5569i −0.169482 + 1.61252i 0.497515 + 0.867456i \(0.334246\pi\)
−0.666997 + 0.745061i \(0.732421\pi\)
\(984\) −2.49067 + 13.0651i −0.0793996 + 0.416501i
\(985\) −48.2870 10.2637i −1.53855 0.327029i
\(986\) −3.99892 + 1.78043i −0.127352 + 0.0567006i
\(987\) −41.0614 + 5.19230i −1.30700 + 0.165273i
\(988\) −11.7249 + 2.49219i −0.373017 + 0.0792873i
\(989\) −1.83625 −0.0583895
\(990\) 2.50865 7.26422i 0.0797300 0.230872i
\(991\) −13.1480 −0.417662 −0.208831 0.977952i \(-0.566966\pi\)
−0.208831 + 0.977952i \(0.566966\pi\)
\(992\) 15.4082 3.27512i 0.489211 0.103985i
\(993\) −2.13401 + 5.07834i −0.0677209 + 0.161156i
\(994\) 6.09209 2.71237i 0.193229 0.0860312i
\(995\) 66.4923 + 14.1334i 2.10795 + 0.448058i
\(996\) −20.3994 + 7.10660i −0.646381 + 0.225181i
\(997\) 3.88937 37.0048i 0.123177 1.17195i −0.741969 0.670435i \(-0.766108\pi\)
0.865146 0.501520i \(-0.167226\pi\)
\(998\) 3.54437 2.57514i 0.112195 0.0815146i
\(999\) −38.9809 9.99353i −1.23330 0.316181i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (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 99.2.m.b.31.5 yes 72
3.2 odd 2 297.2.n.b.64.5 72
9.2 odd 6 297.2.n.b.262.5 72
9.4 even 3 891.2.f.f.163.5 36
9.5 odd 6 891.2.f.e.163.5 36
9.7 even 3 inner 99.2.m.b.97.5 yes 72
11.4 even 5 1089.2.e.p.364.9 36
11.5 even 5 inner 99.2.m.b.49.5 yes 72
11.7 odd 10 1089.2.e.o.364.10 36
33.5 odd 10 297.2.n.b.280.5 72
99.4 even 15 9801.2.a.cm.1.10 18
99.5 odd 30 891.2.f.e.82.5 36
99.7 odd 30 1089.2.e.o.727.10 36
99.16 even 15 inner 99.2.m.b.16.5 72
99.38 odd 30 297.2.n.b.181.5 72
99.40 odd 30 9801.2.a.co.1.9 18
99.49 even 15 891.2.f.f.82.5 36
99.59 odd 30 9801.2.a.cp.1.9 18
99.70 even 15 1089.2.e.p.727.9 36
99.95 even 30 9801.2.a.cn.1.10 18
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
99.2.m.b.16.5 72 99.16 even 15 inner
99.2.m.b.31.5 yes 72 1.1 even 1 trivial
99.2.m.b.49.5 yes 72 11.5 even 5 inner
99.2.m.b.97.5 yes 72 9.7 even 3 inner
297.2.n.b.64.5 72 3.2 odd 2
297.2.n.b.181.5 72 99.38 odd 30
297.2.n.b.262.5 72 9.2 odd 6
297.2.n.b.280.5 72 33.5 odd 10
891.2.f.e.82.5 36 99.5 odd 30
891.2.f.e.163.5 36 9.5 odd 6
891.2.f.f.82.5 36 99.49 even 15
891.2.f.f.163.5 36 9.4 even 3
1089.2.e.o.364.10 36 11.7 odd 10
1089.2.e.o.727.10 36 99.7 odd 30
1089.2.e.p.364.9 36 11.4 even 5
1089.2.e.p.727.9 36 99.70 even 15
9801.2.a.cm.1.10 18 99.4 even 15
9801.2.a.cn.1.10 18 99.95 even 30
9801.2.a.co.1.9 18 99.40 odd 30
9801.2.a.cp.1.9 18 99.59 odd 30