Properties

Label 690.2.m.g.211.3
Level $690$
Weight $2$
Character 690.211
Analytic conductor $5.510$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [690,2,Mod(31,690)]
 
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([0, 0, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("690.31");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.m (of order \(11\), 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: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 211.3
Character \(\chi\) \(=\) 690.211
Dual form 690.2.m.g.121.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.415415 + 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(0.841254 + 0.540641i) q^{5} +(-0.654861 - 0.755750i) q^{6} +(0.743473 + 5.17097i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\) \(q+(0.415415 + 0.909632i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(0.841254 + 0.540641i) q^{5} +(-0.654861 - 0.755750i) q^{6} +(0.743473 + 5.17097i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-0.142315 + 0.989821i) q^{10} +(1.65538 - 3.62478i) q^{11} +(0.415415 - 0.909632i) q^{12} +(-0.717955 + 4.99349i) q^{13} +(-4.39483 + 2.82439i) q^{14} +(-0.959493 - 0.281733i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-1.53793 - 1.77487i) q^{17} +(0.841254 + 0.540641i) q^{18} +(1.97472 - 2.27895i) q^{19} +(-0.959493 + 0.281733i) q^{20} +(-2.17019 - 4.75205i) q^{21} +3.98489 q^{22} +(-3.56624 + 3.20655i) q^{23} +1.00000 q^{24} +(0.415415 + 0.909632i) q^{25} +(-4.84049 + 1.42130i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(-4.39483 - 2.82439i) q^{28} +(4.46963 + 5.15823i) q^{29} +(-0.142315 - 0.989821i) q^{30} +(-7.85431 - 2.30623i) q^{31} +(0.841254 - 0.540641i) q^{32} +(-0.567109 + 3.94433i) q^{33} +(0.975595 - 2.13626i) q^{34} +(-2.17019 + 4.75205i) q^{35} +(-0.142315 + 0.989821i) q^{36} +(-0.311508 + 0.200194i) q^{37} +(2.89333 + 0.849559i) q^{38} +(-0.717955 - 4.99349i) q^{39} +(-0.654861 - 0.755750i) q^{40} +(1.62078 + 1.04161i) q^{41} +(3.42109 - 3.94814i) q^{42} +(-10.6622 + 3.13069i) q^{43} +(1.65538 + 3.62478i) q^{44} +1.00000 q^{45} +(-4.39825 - 1.91192i) q^{46} +4.92653 q^{47} +(0.415415 + 0.909632i) q^{48} +(-19.4697 + 5.71683i) q^{49} +(-0.654861 + 0.755750i) q^{50} +(1.97567 + 1.26969i) q^{51} +(-3.30367 - 3.81263i) q^{52} +(-0.316357 - 2.20031i) q^{53} +(-0.959493 - 0.281733i) q^{54} +(3.35230 - 2.15439i) q^{55} +(0.743473 - 5.17097i) q^{56} +(-1.25268 + 2.74298i) q^{57} +(-2.83534 + 6.20852i) q^{58} +(0.310817 - 2.16178i) q^{59} +(0.841254 - 0.540641i) q^{60} +(12.6607 + 3.71752i) q^{61} +(-1.16497 - 8.10258i) q^{62} +(3.42109 + 3.94814i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-3.30367 + 3.81263i) q^{65} +(-3.82347 + 1.12267i) q^{66} +(-0.852560 - 1.86685i) q^{67} +2.34848 q^{68} +(2.51839 - 4.08138i) q^{69} -5.22414 q^{70} +(3.15425 + 6.90685i) q^{71} +(-0.959493 + 0.281733i) q^{72} +(9.98981 - 11.5289i) q^{73} +(-0.311508 - 0.200194i) q^{74} +(-0.654861 - 0.755750i) q^{75} +(0.429148 + 2.98479i) q^{76} +(19.9744 + 5.86501i) q^{77} +(4.24399 - 2.72745i) q^{78} +(0.615851 - 4.28334i) q^{79} +(0.415415 - 0.909632i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-0.274188 + 1.90702i) q^{82} +(-7.64258 + 4.91159i) q^{83} +(5.01253 + 1.47181i) q^{84} +(-0.334224 - 2.32458i) q^{85} +(-7.27700 - 8.39810i) q^{86} +(-5.74182 - 3.69004i) q^{87} +(-2.60955 + 3.01158i) q^{88} +(3.93784 - 1.15625i) q^{89} +(0.415415 + 0.909632i) q^{90} -26.3550 q^{91} +(-0.0879548 - 4.79502i) q^{92} +8.18590 q^{93} +(2.04655 + 4.48133i) q^{94} +(2.89333 - 0.849559i) q^{95} +(-0.654861 + 0.755750i) q^{96} +(6.57851 + 4.22775i) q^{97} +(-13.2882 - 15.3354i) q^{98} +(-0.567109 - 3.94433i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 3 q^{6} - 8 q^{7} - 3 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 3 q^{6} - 8 q^{7} - 3 q^{8} - 3 q^{9} - 3 q^{10} + 8 q^{11} - 3 q^{12} - 5 q^{13} - 8 q^{14} - 3 q^{15} - 3 q^{16} + 4 q^{17} - 3 q^{18} + 6 q^{19} - 3 q^{20} + 3 q^{21} + 8 q^{22} + q^{23} + 30 q^{24} - 3 q^{25} - 5 q^{26} - 3 q^{27} - 8 q^{28} - 10 q^{29} - 3 q^{30} - 10 q^{31} - 3 q^{32} - 14 q^{33} - 7 q^{34} + 3 q^{35} - 3 q^{36} - 12 q^{37} - 5 q^{38} - 5 q^{39} - 3 q^{40} + 5 q^{41} + 3 q^{42} + 2 q^{43} + 8 q^{44} + 30 q^{45} - 21 q^{46} + 96 q^{47} - 3 q^{48} - 43 q^{49} - 3 q^{50} + 15 q^{51} - 16 q^{52} + 12 q^{53} - 3 q^{54} + 8 q^{55} - 8 q^{56} + 17 q^{57} + q^{58} - 9 q^{59} - 3 q^{60} + q^{61} - 32 q^{62} + 3 q^{63} - 3 q^{64} - 16 q^{65} - 3 q^{66} - 28 q^{67} + 4 q^{68} + 23 q^{69} + 14 q^{70} + 3 q^{71} - 3 q^{72} - 27 q^{73} - 12 q^{74} - 3 q^{75} - 16 q^{76} + 47 q^{77} + 6 q^{78} + 2 q^{79} - 3 q^{80} - 3 q^{81} + 27 q^{82} + 11 q^{83} + 3 q^{84} - 7 q^{85} + 2 q^{86} - 32 q^{87} - 3 q^{88} + 25 q^{89} - 3 q^{90} - 90 q^{91} - 10 q^{92} + 56 q^{93} - 25 q^{94} - 5 q^{95} - 3 q^{96} - 7 q^{97} - 32 q^{98} - 14 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.415415 + 0.909632i 0.293743 + 0.643207i
\(3\) −0.959493 + 0.281733i −0.553964 + 0.162658i
\(4\) −0.654861 + 0.755750i −0.327430 + 0.377875i
\(5\) 0.841254 + 0.540641i 0.376220 + 0.241782i
\(6\) −0.654861 0.755750i −0.267346 0.308533i
\(7\) 0.743473 + 5.17097i 0.281006 + 1.95444i 0.297936 + 0.954586i \(0.403702\pi\)
−0.0169292 + 0.999857i \(0.505389\pi\)
\(8\) −0.959493 0.281733i −0.339232 0.0996075i
\(9\) 0.841254 0.540641i 0.280418 0.180214i
\(10\) −0.142315 + 0.989821i −0.0450039 + 0.313009i
\(11\) 1.65538 3.62478i 0.499117 1.09291i −0.477639 0.878556i \(-0.658507\pi\)
0.976755 0.214357i \(-0.0687656\pi\)
\(12\) 0.415415 0.909632i 0.119920 0.262588i
\(13\) −0.717955 + 4.99349i −0.199125 + 1.38494i 0.607706 + 0.794162i \(0.292090\pi\)
−0.806831 + 0.590783i \(0.798819\pi\)
\(14\) −4.39483 + 2.82439i −1.17457 + 0.754849i
\(15\) −0.959493 0.281733i −0.247740 0.0727430i
\(16\) −0.142315 0.989821i −0.0355787 0.247455i
\(17\) −1.53793 1.77487i −0.373003 0.430468i 0.537951 0.842976i \(-0.319198\pi\)
−0.910954 + 0.412508i \(0.864653\pi\)
\(18\) 0.841254 + 0.540641i 0.198285 + 0.127430i
\(19\) 1.97472 2.27895i 0.453032 0.522827i −0.482582 0.875851i \(-0.660301\pi\)
0.935614 + 0.353024i \(0.114847\pi\)
\(20\) −0.959493 + 0.281733i −0.214549 + 0.0629973i
\(21\) −2.17019 4.75205i −0.473574 1.03698i
\(22\) 3.98489 0.849581
\(23\) −3.56624 + 3.20655i −0.743612 + 0.668611i
\(24\) 1.00000 0.204124
\(25\) 0.415415 + 0.909632i 0.0830830 + 0.181926i
\(26\) −4.84049 + 1.42130i −0.949298 + 0.278739i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) −4.39483 2.82439i −0.830545 0.533759i
\(29\) 4.46963 + 5.15823i 0.829989 + 0.957859i 0.999618 0.0276495i \(-0.00880224\pi\)
−0.169629 + 0.985508i \(0.554257\pi\)
\(30\) −0.142315 0.989821i −0.0259830 0.180716i
\(31\) −7.85431 2.30623i −1.41068 0.414212i −0.514340 0.857587i \(-0.671963\pi\)
−0.896336 + 0.443375i \(0.853781\pi\)
\(32\) 0.841254 0.540641i 0.148714 0.0955727i
\(33\) −0.567109 + 3.94433i −0.0987210 + 0.686620i
\(34\) 0.975595 2.13626i 0.167313 0.366365i
\(35\) −2.17019 + 4.75205i −0.366829 + 0.803243i
\(36\) −0.142315 + 0.989821i −0.0237191 + 0.164970i
\(37\) −0.311508 + 0.200194i −0.0512117 + 0.0329117i −0.565996 0.824408i \(-0.691508\pi\)
0.514784 + 0.857320i \(0.327872\pi\)
\(38\) 2.89333 + 0.849559i 0.469361 + 0.137817i
\(39\) −0.717955 4.99349i −0.114965 0.799598i
\(40\) −0.654861 0.755750i −0.103543 0.119494i
\(41\) 1.62078 + 1.04161i 0.253124 + 0.162673i 0.661049 0.750342i \(-0.270111\pi\)
−0.407926 + 0.913015i \(0.633748\pi\)
\(42\) 3.42109 3.94814i 0.527885 0.609212i
\(43\) −10.6622 + 3.13069i −1.62596 + 0.477426i −0.962612 0.270883i \(-0.912684\pi\)
−0.663351 + 0.748308i \(0.730866\pi\)
\(44\) 1.65538 + 3.62478i 0.249558 + 0.546457i
\(45\) 1.00000 0.149071
\(46\) −4.39825 1.91192i −0.648486 0.281897i
\(47\) 4.92653 0.718608 0.359304 0.933221i \(-0.383014\pi\)
0.359304 + 0.933221i \(0.383014\pi\)
\(48\) 0.415415 + 0.909632i 0.0599600 + 0.131294i
\(49\) −19.4697 + 5.71683i −2.78139 + 0.816689i
\(50\) −0.654861 + 0.755750i −0.0926113 + 0.106879i
\(51\) 1.97567 + 1.26969i 0.276649 + 0.177792i
\(52\) −3.30367 3.81263i −0.458136 0.528717i
\(53\) −0.316357 2.20031i −0.0434550 0.302236i −0.999945 0.0104715i \(-0.996667\pi\)
0.956490 0.291764i \(-0.0942423\pi\)
\(54\) −0.959493 0.281733i −0.130570 0.0383389i
\(55\) 3.35230 2.15439i 0.452024 0.290498i
\(56\) 0.743473 5.17097i 0.0993508 0.691000i
\(57\) −1.25268 + 2.74298i −0.165921 + 0.363316i
\(58\) −2.83534 + 6.20852i −0.372298 + 0.815219i
\(59\) 0.310817 2.16178i 0.0404650 0.281440i −0.959535 0.281589i \(-0.909138\pi\)
1.00000 0.000149215i \(4.74966e-5\pi\)
\(60\) 0.841254 0.540641i 0.108605 0.0697964i
\(61\) 12.6607 + 3.71752i 1.62104 + 0.475980i 0.961297 0.275514i \(-0.0888481\pi\)
0.659740 + 0.751494i \(0.270666\pi\)
\(62\) −1.16497 8.10258i −0.147952 1.02903i
\(63\) 3.42109 + 3.94814i 0.431016 + 0.497419i
\(64\) 0.841254 + 0.540641i 0.105157 + 0.0675801i
\(65\) −3.30367 + 3.81263i −0.409769 + 0.472899i
\(66\) −3.82347 + 1.12267i −0.470637 + 0.138192i
\(67\) −0.852560 1.86685i −0.104157 0.228071i 0.850377 0.526173i \(-0.176374\pi\)
−0.954534 + 0.298102i \(0.903646\pi\)
\(68\) 2.34848 0.284795
\(69\) 2.51839 4.08138i 0.303179 0.491341i
\(70\) −5.22414 −0.624405
\(71\) 3.15425 + 6.90685i 0.374341 + 0.819692i 0.999240 + 0.0389866i \(0.0124130\pi\)
−0.624899 + 0.780706i \(0.714860\pi\)
\(72\) −0.959493 + 0.281733i −0.113077 + 0.0332025i
\(73\) 9.98981 11.5289i 1.16922 1.34935i 0.244065 0.969759i \(-0.421519\pi\)
0.925154 0.379592i \(-0.123936\pi\)
\(74\) −0.311508 0.200194i −0.0362121 0.0232721i
\(75\) −0.654861 0.755750i −0.0756168 0.0872664i
\(76\) 0.429148 + 2.98479i 0.0492266 + 0.342379i
\(77\) 19.9744 + 5.86501i 2.27629 + 0.668380i
\(78\) 4.24399 2.72745i 0.480537 0.308822i
\(79\) 0.615851 4.28334i 0.0692887 0.481913i −0.925401 0.378990i \(-0.876271\pi\)
0.994689 0.102923i \(-0.0328196\pi\)
\(80\) 0.415415 0.909632i 0.0464448 0.101700i
\(81\) 0.415415 0.909632i 0.0461572 0.101070i
\(82\) −0.274188 + 1.90702i −0.0302790 + 0.210595i
\(83\) −7.64258 + 4.91159i −0.838882 + 0.539117i −0.888089 0.459672i \(-0.847967\pi\)
0.0492068 + 0.998789i \(0.484331\pi\)
\(84\) 5.01253 + 1.47181i 0.546912 + 0.160588i
\(85\) −0.334224 2.32458i −0.0362517 0.252136i
\(86\) −7.27700 8.39810i −0.784699 0.905591i
\(87\) −5.74182 3.69004i −0.615587 0.395614i
\(88\) −2.60955 + 3.01158i −0.278179 + 0.321035i
\(89\) 3.93784 1.15625i 0.417410 0.122563i −0.0662817 0.997801i \(-0.521114\pi\)
0.483692 + 0.875238i \(0.339295\pi\)
\(90\) 0.415415 + 0.909632i 0.0437886 + 0.0958836i
\(91\) −26.3550 −2.76275
\(92\) −0.0879548 4.79502i −0.00916992 0.499916i
\(93\) 8.18590 0.848838
\(94\) 2.04655 + 4.48133i 0.211086 + 0.462214i
\(95\) 2.89333 0.849559i 0.296850 0.0871629i
\(96\) −0.654861 + 0.755750i −0.0668364 + 0.0771334i
\(97\) 6.57851 + 4.22775i 0.667947 + 0.429263i 0.830185 0.557488i \(-0.188235\pi\)
−0.162238 + 0.986752i \(0.551871\pi\)
\(98\) −13.2882 15.3354i −1.34231 1.54911i
\(99\) −0.567109 3.94433i −0.0569966 0.396420i
\(100\) −0.959493 0.281733i −0.0959493 0.0281733i
\(101\) 6.56202 4.21715i 0.652945 0.419622i −0.171796 0.985133i \(-0.554957\pi\)
0.824741 + 0.565510i \(0.191321\pi\)
\(102\) −0.334224 + 2.32458i −0.0330931 + 0.230168i
\(103\) 4.74954 10.4000i 0.467986 1.02475i −0.517608 0.855618i \(-0.673177\pi\)
0.985594 0.169129i \(-0.0540954\pi\)
\(104\) 2.09570 4.58895i 0.205500 0.449983i
\(105\) 0.743473 5.17097i 0.0725555 0.504635i
\(106\) 1.87005 1.20181i 0.181636 0.116730i
\(107\) 3.30926 + 0.971687i 0.319918 + 0.0939365i 0.437749 0.899097i \(-0.355776\pi\)
−0.117831 + 0.993034i \(0.537594\pi\)
\(108\) −0.142315 0.989821i −0.0136943 0.0952456i
\(109\) 10.6664 + 12.3097i 1.02165 + 1.17905i 0.983708 + 0.179771i \(0.0575357\pi\)
0.0379449 + 0.999280i \(0.487919\pi\)
\(110\) 3.35230 + 2.15439i 0.319630 + 0.205413i
\(111\) 0.242489 0.279847i 0.0230160 0.0265619i
\(112\) 5.01253 1.47181i 0.473639 0.139073i
\(113\) −6.12379 13.4092i −0.576077 1.26143i −0.943498 0.331379i \(-0.892486\pi\)
0.367420 0.930055i \(-0.380241\pi\)
\(114\) −3.01548 −0.282426
\(115\) −4.73370 + 0.769463i −0.441420 + 0.0717528i
\(116\) −6.82531 −0.633714
\(117\) 2.09570 + 4.58895i 0.193748 + 0.424248i
\(118\) 2.09555 0.615308i 0.192911 0.0566437i
\(119\) 8.03436 9.27215i 0.736509 0.849977i
\(120\) 0.841254 + 0.540641i 0.0767956 + 0.0493535i
\(121\) −3.19530 3.68757i −0.290481 0.335233i
\(122\) 1.87787 + 13.0609i 0.170015 + 1.18248i
\(123\) −1.84859 0.542794i −0.166681 0.0489421i
\(124\) 6.88641 4.42563i 0.618418 0.397433i
\(125\) −0.142315 + 0.989821i −0.0127290 + 0.0885323i
\(126\) −2.17019 + 4.75205i −0.193336 + 0.423346i
\(127\) −1.08832 + 2.38309i −0.0965727 + 0.211465i −0.951752 0.306867i \(-0.900719\pi\)
0.855180 + 0.518332i \(0.173447\pi\)
\(128\) −0.142315 + 0.989821i −0.0125790 + 0.0874887i
\(129\) 9.34824 6.00775i 0.823067 0.528953i
\(130\) −4.84049 1.42130i −0.424539 0.124656i
\(131\) 0.681088 + 4.73707i 0.0595069 + 0.413880i 0.997701 + 0.0677700i \(0.0215884\pi\)
−0.938194 + 0.346110i \(0.887503\pi\)
\(132\) −2.60955 3.01158i −0.227132 0.262124i
\(133\) 13.2525 + 8.51688i 1.14914 + 0.738507i
\(134\) 1.34398 1.55103i 0.116102 0.133989i
\(135\) −0.959493 + 0.281733i −0.0825800 + 0.0242477i
\(136\) 0.975595 + 2.13626i 0.0836566 + 0.183182i
\(137\) 20.3355 1.73737 0.868687 0.495361i \(-0.164964\pi\)
0.868687 + 0.495361i \(0.164964\pi\)
\(138\) 4.75874 + 0.595344i 0.405090 + 0.0506790i
\(139\) 12.9242 1.09622 0.548108 0.836407i \(-0.315348\pi\)
0.548108 + 0.836407i \(0.315348\pi\)
\(140\) −2.17019 4.75205i −0.183414 0.401621i
\(141\) −4.72697 + 1.38796i −0.398083 + 0.116888i
\(142\) −4.97237 + 5.73842i −0.417272 + 0.481557i
\(143\) 16.9118 + 10.8686i 1.41424 + 0.908876i
\(144\) −0.654861 0.755750i −0.0545717 0.0629791i
\(145\) 0.971343 + 6.75584i 0.0806657 + 0.561042i
\(146\) 14.6369 + 4.29779i 1.21136 + 0.355688i
\(147\) 17.0704 10.9705i 1.40795 0.904832i
\(148\) 0.0526979 0.366522i 0.00433174 0.0301279i
\(149\) 0.341269 0.747275i 0.0279578 0.0612191i −0.895138 0.445789i \(-0.852923\pi\)
0.923096 + 0.384570i \(0.125650\pi\)
\(150\) 0.415415 0.909632i 0.0339185 0.0742711i
\(151\) −1.75744 + 12.2233i −0.143018 + 0.994714i 0.784284 + 0.620402i \(0.213030\pi\)
−0.927303 + 0.374313i \(0.877879\pi\)
\(152\) −2.53678 + 1.63029i −0.205760 + 0.132234i
\(153\) −2.25335 0.661644i −0.182173 0.0534908i
\(154\) 2.96266 + 20.6057i 0.238738 + 1.66046i
\(155\) −5.36062 6.18649i −0.430576 0.496911i
\(156\) 4.24399 + 2.72745i 0.339791 + 0.218370i
\(157\) −6.51924 + 7.52360i −0.520292 + 0.600449i −0.953704 0.300747i \(-0.902764\pi\)
0.433412 + 0.901196i \(0.357309\pi\)
\(158\) 4.15210 1.21917i 0.330323 0.0969916i
\(159\) 0.923441 + 2.02205i 0.0732337 + 0.160359i
\(160\) 1.00000 0.0790569
\(161\) −19.2324 16.0569i −1.51572 1.26546i
\(162\) 1.00000 0.0785674
\(163\) 2.48216 + 5.43516i 0.194417 + 0.425715i 0.981585 0.191024i \(-0.0611808\pi\)
−0.787168 + 0.616739i \(0.788454\pi\)
\(164\) −1.84859 + 0.542794i −0.144350 + 0.0423851i
\(165\) −2.60955 + 3.01158i −0.203153 + 0.234451i
\(166\) −7.64258 4.91159i −0.593179 0.381213i
\(167\) 13.1985 + 15.2319i 1.02133 + 1.17868i 0.983779 + 0.179387i \(0.0574116\pi\)
0.0375552 + 0.999295i \(0.488043\pi\)
\(168\) 0.743473 + 5.17097i 0.0573602 + 0.398949i
\(169\) −11.9461 3.50768i −0.918928 0.269822i
\(170\) 1.97567 1.26969i 0.151527 0.0973805i
\(171\) 0.429148 2.98479i 0.0328177 0.228252i
\(172\) 4.61621 10.1081i 0.351983 0.770734i
\(173\) 7.50220 16.4275i 0.570382 1.24896i −0.376212 0.926533i \(-0.622774\pi\)
0.946594 0.322428i \(-0.104499\pi\)
\(174\) 0.971343 6.75584i 0.0736373 0.512159i
\(175\) −4.39483 + 2.82439i −0.332218 + 0.213503i
\(176\) −3.82347 1.12267i −0.288205 0.0846247i
\(177\) 0.310817 + 2.16178i 0.0233625 + 0.162490i
\(178\) 2.68761 + 3.10166i 0.201445 + 0.232479i
\(179\) 0.999595 + 0.642401i 0.0747133 + 0.0480153i 0.577464 0.816416i \(-0.304042\pi\)
−0.502751 + 0.864431i \(0.667679\pi\)
\(180\) −0.654861 + 0.755750i −0.0488104 + 0.0563302i
\(181\) −11.6144 + 3.41030i −0.863293 + 0.253486i −0.683260 0.730175i \(-0.739438\pi\)
−0.180032 + 0.983661i \(0.557620\pi\)
\(182\) −10.9482 23.9733i −0.811538 1.77702i
\(183\) −13.1952 −0.975418
\(184\) 4.32517 2.07193i 0.318856 0.152745i
\(185\) −0.370291 −0.0272243
\(186\) 3.40054 + 7.44615i 0.249340 + 0.545978i
\(187\) −8.97937 + 2.63658i −0.656636 + 0.192806i
\(188\) −3.22619 + 3.72322i −0.235294 + 0.271544i
\(189\) −4.39483 2.82439i −0.319677 0.205444i
\(190\) 1.97472 + 2.27895i 0.143261 + 0.165332i
\(191\) −2.08139 14.4764i −0.150604 1.04748i −0.915210 0.402978i \(-0.867975\pi\)
0.764605 0.644499i \(-0.222934\pi\)
\(192\) −0.959493 0.281733i −0.0692454 0.0203323i
\(193\) 10.3420 6.64638i 0.744431 0.478417i −0.112627 0.993637i \(-0.535926\pi\)
0.857058 + 0.515221i \(0.172290\pi\)
\(194\) −1.11289 + 7.74030i −0.0799006 + 0.555721i
\(195\) 2.09570 4.58895i 0.150076 0.328621i
\(196\) 8.42947 18.4580i 0.602105 1.31843i
\(197\) −2.87809 + 20.0175i −0.205055 + 1.42619i 0.583943 + 0.811795i \(0.301509\pi\)
−0.788998 + 0.614395i \(0.789400\pi\)
\(198\) 3.35230 2.15439i 0.238238 0.153106i
\(199\) −21.2313 6.23408i −1.50505 0.441922i −0.577741 0.816220i \(-0.696066\pi\)
−0.927308 + 0.374298i \(0.877884\pi\)
\(200\) −0.142315 0.989821i −0.0100632 0.0699909i
\(201\) 1.34398 + 1.55103i 0.0947968 + 0.109401i
\(202\) 6.56202 + 4.21715i 0.461702 + 0.296718i
\(203\) −23.3500 + 26.9473i −1.63885 + 1.89133i
\(204\) −2.25335 + 0.661644i −0.157766 + 0.0463244i
\(205\) 0.800350 + 1.75252i 0.0558989 + 0.122401i
\(206\) 11.4332 0.796592
\(207\) −1.26652 + 4.62557i −0.0880294 + 0.321500i
\(208\) 5.04484 0.349797
\(209\) −4.99178 10.9305i −0.345288 0.756076i
\(210\) 5.01253 1.47181i 0.345897 0.101565i
\(211\) −3.88368 + 4.48201i −0.267364 + 0.308554i −0.873517 0.486794i \(-0.838166\pi\)
0.606153 + 0.795348i \(0.292712\pi\)
\(212\) 1.87005 + 1.20181i 0.128436 + 0.0825407i
\(213\) −4.97237 5.73842i −0.340701 0.393190i
\(214\) 0.490840 + 3.41386i 0.0335531 + 0.233367i
\(215\) −10.6622 3.13069i −0.727153 0.213511i
\(216\) 0.841254 0.540641i 0.0572401 0.0367859i
\(217\) 6.08599 42.3290i 0.413144 2.87348i
\(218\) −6.76628 + 14.8161i −0.458270 + 1.00347i
\(219\) −6.33710 + 13.8763i −0.428221 + 0.937674i
\(220\) −0.567109 + 3.94433i −0.0382345 + 0.265927i
\(221\) 9.96693 6.40536i 0.670449 0.430871i
\(222\) 0.355291 + 0.104323i 0.0238456 + 0.00700170i
\(223\) 0.456862 + 3.17755i 0.0305938 + 0.212784i 0.999384 0.0350982i \(-0.0111744\pi\)
−0.968790 + 0.247883i \(0.920265\pi\)
\(224\) 3.42109 + 3.94814i 0.228581 + 0.263796i
\(225\) 0.841254 + 0.540641i 0.0560836 + 0.0360427i
\(226\) 9.65355 11.1408i 0.642144 0.741074i
\(227\) 18.0178 5.29051i 1.19588 0.351143i 0.377607 0.925966i \(-0.376747\pi\)
0.818278 + 0.574823i \(0.194929\pi\)
\(228\) −1.25268 2.74298i −0.0829605 0.181658i
\(229\) 19.7756 1.30681 0.653403 0.757010i \(-0.273341\pi\)
0.653403 + 0.757010i \(0.273341\pi\)
\(230\) −2.66638 3.98628i −0.175816 0.262848i
\(231\) −20.8176 −1.36970
\(232\) −2.83534 6.20852i −0.186149 0.407609i
\(233\) −17.8773 + 5.24924i −1.17118 + 0.343889i −0.808767 0.588129i \(-0.799865\pi\)
−0.362412 + 0.932018i \(0.618047\pi\)
\(234\) −3.30367 + 3.81263i −0.215967 + 0.249240i
\(235\) 4.14446 + 2.66348i 0.270355 + 0.173746i
\(236\) 1.43022 + 1.65057i 0.0930997 + 0.107443i
\(237\) 0.615851 + 4.28334i 0.0400038 + 0.278233i
\(238\) 11.7718 + 3.45652i 0.763055 + 0.224053i
\(239\) 14.0980 9.06023i 0.911923 0.586058i 0.00161968 0.999999i \(-0.499484\pi\)
0.910304 + 0.413941i \(0.135848\pi\)
\(240\) −0.142315 + 0.989821i −0.00918638 + 0.0638927i
\(241\) −6.54823 + 14.3386i −0.421808 + 0.923632i 0.572777 + 0.819711i \(0.305866\pi\)
−0.994586 + 0.103921i \(0.966861\pi\)
\(242\) 2.02696 4.43841i 0.130298 0.285312i
\(243\) −0.142315 + 0.989821i −0.00912950 + 0.0634971i
\(244\) −11.1005 + 7.13387i −0.710638 + 0.456699i
\(245\) −19.4697 5.71683i −1.24387 0.365235i
\(246\) −0.274188 1.90702i −0.0174816 0.121587i
\(247\) 9.96214 + 11.4969i 0.633876 + 0.731532i
\(248\) 6.88641 + 4.42563i 0.437288 + 0.281028i
\(249\) 5.94925 6.86580i 0.377018 0.435102i
\(250\) −0.959493 + 0.281733i −0.0606837 + 0.0178183i
\(251\) 1.57738 + 3.45399i 0.0995636 + 0.218014i 0.952859 0.303414i \(-0.0981267\pi\)
−0.853295 + 0.521428i \(0.825399\pi\)
\(252\) −5.22414 −0.329090
\(253\) 5.71954 + 18.2349i 0.359584 + 1.14642i
\(254\) −2.61984 −0.164383
\(255\) 0.975595 + 2.13626i 0.0610941 + 0.133778i
\(256\) −0.959493 + 0.281733i −0.0599683 + 0.0176083i
\(257\) 7.27999 8.40156i 0.454113 0.524075i −0.481811 0.876275i \(-0.660021\pi\)
0.935925 + 0.352200i \(0.114566\pi\)
\(258\) 9.34824 + 6.00775i 0.581996 + 0.374026i
\(259\) −1.26680 1.46196i −0.0787149 0.0908419i
\(260\) −0.717955 4.99349i −0.0445257 0.309683i
\(261\) 6.54884 + 1.92291i 0.405363 + 0.119025i
\(262\) −4.02606 + 2.58739i −0.248731 + 0.159849i
\(263\) −1.51364 + 10.5276i −0.0933350 + 0.649160i 0.888423 + 0.459025i \(0.151801\pi\)
−0.981758 + 0.190134i \(0.939108\pi\)
\(264\) 1.65538 3.62478i 0.101882 0.223090i
\(265\) 0.923441 2.02205i 0.0567265 0.124214i
\(266\) −2.24193 + 15.5930i −0.137461 + 0.956066i
\(267\) −3.45258 + 2.21884i −0.211294 + 0.135791i
\(268\) 1.96918 + 0.578202i 0.120287 + 0.0353193i
\(269\) −3.59607 25.0112i −0.219256 1.52496i −0.740794 0.671732i \(-0.765551\pi\)
0.521538 0.853228i \(-0.325358\pi\)
\(270\) −0.654861 0.755750i −0.0398536 0.0459935i
\(271\) −7.38832 4.74818i −0.448808 0.288432i 0.296647 0.954987i \(-0.404132\pi\)
−0.745455 + 0.666556i \(0.767768\pi\)
\(272\) −1.53793 + 1.77487i −0.0932507 + 0.107617i
\(273\) 25.2874 7.42505i 1.53046 0.449384i
\(274\) 8.44765 + 18.4978i 0.510341 + 1.11749i
\(275\) 3.98489 0.240298
\(276\) 1.43531 + 4.57601i 0.0863953 + 0.275444i
\(277\) −22.8747 −1.37441 −0.687203 0.726465i \(-0.741162\pi\)
−0.687203 + 0.726465i \(0.741162\pi\)
\(278\) 5.36891 + 11.7563i 0.322006 + 0.705094i
\(279\) −7.85431 + 2.30623i −0.470225 + 0.138071i
\(280\) 3.42109 3.94814i 0.204449 0.235947i
\(281\) 14.4470 + 9.28454i 0.861837 + 0.553869i 0.895246 0.445573i \(-0.147000\pi\)
−0.0334087 + 0.999442i \(0.510636\pi\)
\(282\) −3.22619 3.72322i −0.192117 0.221715i
\(283\) −0.922750 6.41786i −0.0548518 0.381502i −0.998693 0.0511040i \(-0.983726\pi\)
0.943842 0.330398i \(-0.107183\pi\)
\(284\) −7.28545 2.13920i −0.432312 0.126938i
\(285\) −2.53678 + 1.63029i −0.150266 + 0.0965702i
\(286\) −2.86097 + 19.8985i −0.169173 + 1.17662i
\(287\) −4.18114 + 9.15543i −0.246805 + 0.540428i
\(288\) 0.415415 0.909632i 0.0244786 0.0536006i
\(289\) 1.63443 11.3677i 0.0961431 0.668690i
\(290\) −5.74182 + 3.69004i −0.337171 + 0.216687i
\(291\) −7.50313 2.20312i −0.439842 0.129149i
\(292\) 2.17099 + 15.0996i 0.127048 + 0.883637i
\(293\) −3.01541 3.47997i −0.176162 0.203302i 0.660801 0.750561i \(-0.270217\pi\)
−0.836963 + 0.547259i \(0.815671\pi\)
\(294\) 17.0704 + 10.9705i 0.995568 + 0.639813i
\(295\) 1.43022 1.65057i 0.0832709 0.0960997i
\(296\) 0.355291 0.104323i 0.0206509 0.00606365i
\(297\) 1.65538 + 3.62478i 0.0960551 + 0.210331i
\(298\) 0.821513 0.0475890
\(299\) −13.4514 20.1101i −0.777917 1.16300i
\(300\) 1.00000 0.0577350
\(301\) −24.1157 52.8061i −1.39001 3.04369i
\(302\) −11.8487 + 3.47910i −0.681818 + 0.200200i
\(303\) −5.10810 + 5.89506i −0.293453 + 0.338663i
\(304\) −2.53678 1.63029i −0.145495 0.0935037i
\(305\) 8.64102 + 9.97227i 0.494783 + 0.571011i
\(306\) −0.334224 2.32458i −0.0191063 0.132887i
\(307\) −6.05704 1.77851i −0.345693 0.101505i 0.104277 0.994548i \(-0.466747\pi\)
−0.449970 + 0.893044i \(0.648565\pi\)
\(308\) −17.5129 + 11.2549i −0.997891 + 0.641305i
\(309\) −1.62712 + 11.3169i −0.0925637 + 0.643794i
\(310\) 3.40054 7.44615i 0.193138 0.422913i
\(311\) 4.02332 8.80983i 0.228141 0.499560i −0.760595 0.649226i \(-0.775093\pi\)
0.988737 + 0.149667i \(0.0478200\pi\)
\(312\) −0.717955 + 4.99349i −0.0406462 + 0.282701i
\(313\) 21.4214 13.7667i 1.21081 0.778140i 0.230016 0.973187i \(-0.426122\pi\)
0.980794 + 0.195047i \(0.0624859\pi\)
\(314\) −9.55190 2.80469i −0.539045 0.158278i
\(315\) 0.743473 + 5.17097i 0.0418900 + 0.291351i
\(316\) 2.83384 + 3.27042i 0.159416 + 0.183976i
\(317\) −18.9242 12.1618i −1.06289 0.683077i −0.112346 0.993669i \(-0.535836\pi\)
−0.950543 + 0.310592i \(0.899473\pi\)
\(318\) −1.45571 + 1.67998i −0.0816324 + 0.0942088i
\(319\) 26.0964 7.66259i 1.46112 0.429023i
\(320\) 0.415415 + 0.909632i 0.0232224 + 0.0508500i
\(321\) −3.44897 −0.192503
\(322\) 6.61650 24.1647i 0.368723 1.34664i
\(323\) −7.08181 −0.394042
\(324\) 0.415415 + 0.909632i 0.0230786 + 0.0505351i
\(325\) −4.84049 + 1.42130i −0.268502 + 0.0788393i
\(326\) −3.91287 + 4.51570i −0.216714 + 0.250101i
\(327\) −13.7023 8.80596i −0.757741 0.486971i
\(328\) −1.26167 1.45605i −0.0696642 0.0803968i
\(329\) 3.66274 + 25.4749i 0.201933 + 1.40448i
\(330\) −3.82347 1.12267i −0.210475 0.0618011i
\(331\) −0.395961 + 0.254469i −0.0217640 + 0.0139869i −0.551478 0.834190i \(-0.685936\pi\)
0.529714 + 0.848177i \(0.322299\pi\)
\(332\) 1.29289 8.99228i 0.0709568 0.493516i
\(333\) −0.153824 + 0.336828i −0.00842952 + 0.0184581i
\(334\) −8.37258 + 18.3334i −0.458127 + 1.00316i
\(335\) 0.292074 2.03142i 0.0159577 0.110988i
\(336\) −4.39483 + 2.82439i −0.239758 + 0.154083i
\(337\) 12.2209 + 3.58838i 0.665714 + 0.195471i 0.597094 0.802172i \(-0.296322\pi\)
0.0686204 + 0.997643i \(0.478140\pi\)
\(338\) −1.77188 12.3237i −0.0963773 0.670319i
\(339\) 9.65355 + 11.1408i 0.524309 + 0.605084i
\(340\) 1.97567 + 1.26969i 0.107146 + 0.0688584i
\(341\) −21.3615 + 24.6525i −1.15679 + 1.33501i
\(342\) 2.89333 0.849559i 0.156454 0.0459389i
\(343\) −28.8454 63.1627i −1.55751 3.41046i
\(344\) 11.1123 0.599134
\(345\) 4.32517 2.07193i 0.232859 0.111549i
\(346\) 18.0595 0.970886
\(347\) −6.83353 14.9633i −0.366843 0.803274i −0.999582 0.0289091i \(-0.990797\pi\)
0.632739 0.774365i \(-0.281931\pi\)
\(348\) 6.54884 1.92291i 0.351055 0.103079i
\(349\) −19.5775 + 22.5936i −1.04796 + 1.20941i −0.0706674 + 0.997500i \(0.522513\pi\)
−0.977290 + 0.211907i \(0.932033\pi\)
\(350\) −4.39483 2.82439i −0.234913 0.150970i
\(351\) −3.30367 3.81263i −0.176337 0.203503i
\(352\) −0.567109 3.94433i −0.0302270 0.210233i
\(353\) −1.77382 0.520840i −0.0944109 0.0277215i 0.234186 0.972192i \(-0.424758\pi\)
−0.328597 + 0.944470i \(0.606576\pi\)
\(354\) −1.83731 + 1.18077i −0.0976519 + 0.0627570i
\(355\) −1.08060 + 7.51573i −0.0573522 + 0.398894i
\(356\) −1.70490 + 3.73321i −0.0903595 + 0.197860i
\(357\) −5.09665 + 11.1601i −0.269743 + 0.590655i
\(358\) −0.169102 + 1.17613i −0.00893729 + 0.0621602i
\(359\) 20.8344 13.3895i 1.09960 0.706669i 0.140597 0.990067i \(-0.455098\pi\)
0.959003 + 0.283398i \(0.0914616\pi\)
\(360\) −0.959493 0.281733i −0.0505697 0.0148486i
\(361\) 1.40990 + 9.80604i 0.0742050 + 0.516107i
\(362\) −7.92692 9.14815i −0.416630 0.480816i
\(363\) 4.10477 + 2.63798i 0.215445 + 0.138458i
\(364\) 17.2588 19.9177i 0.904608 1.04397i
\(365\) 14.6369 4.29779i 0.766132 0.224957i
\(366\) −5.48149 12.0028i −0.286522 0.627395i
\(367\) 2.44948 0.127862 0.0639310 0.997954i \(-0.479636\pi\)
0.0639310 + 0.997954i \(0.479636\pi\)
\(368\) 3.68144 + 3.07360i 0.191908 + 0.160223i
\(369\) 1.92663 0.100296
\(370\) −0.153824 0.336828i −0.00799695 0.0175109i
\(371\) 11.1425 3.27174i 0.578492 0.169860i
\(372\) −5.36062 + 6.18649i −0.277935 + 0.320754i
\(373\) −1.03596 0.665770i −0.0536399 0.0344722i 0.513546 0.858062i \(-0.328332\pi\)
−0.567186 + 0.823590i \(0.691968\pi\)
\(374\) −6.12848 7.07264i −0.316896 0.365718i
\(375\) −0.142315 0.989821i −0.00734911 0.0511142i
\(376\) −4.72697 1.38796i −0.243775 0.0715787i
\(377\) −28.9665 + 18.6157i −1.49185 + 0.958755i
\(378\) 0.743473 5.17097i 0.0382401 0.265966i
\(379\) −8.74017 + 19.1383i −0.448952 + 0.983068i 0.540916 + 0.841077i \(0.318078\pi\)
−0.989868 + 0.141991i \(0.954649\pi\)
\(380\) −1.25268 + 2.74298i −0.0642609 + 0.140712i
\(381\) 0.372842 2.59317i 0.0191013 0.132852i
\(382\) 12.3036 7.90702i 0.629505 0.404559i
\(383\) −18.0419 5.29758i −0.921898 0.270694i −0.213857 0.976865i \(-0.568603\pi\)
−0.708041 + 0.706171i \(0.750421\pi\)
\(384\) −0.142315 0.989821i −0.00726247 0.0505116i
\(385\) 13.6327 + 15.7329i 0.694784 + 0.801824i
\(386\) 10.3420 + 6.64638i 0.526392 + 0.338292i
\(387\) −7.27700 + 8.39810i −0.369910 + 0.426899i
\(388\) −7.50313 + 2.20312i −0.380914 + 0.111846i
\(389\) 8.13114 + 17.8047i 0.412265 + 0.902735i 0.995878 + 0.0907030i \(0.0289114\pi\)
−0.583613 + 0.812032i \(0.698361\pi\)
\(390\) 5.04484 0.255455
\(391\) 11.1758 + 1.39815i 0.565185 + 0.0707077i
\(392\) 20.2917 1.02488
\(393\) −1.98809 4.35330i −0.100286 0.219595i
\(394\) −19.4042 + 5.69758i −0.977569 + 0.287040i
\(395\) 2.83384 3.27042i 0.142586 0.164553i
\(396\) 3.35230 + 2.15439i 0.168460 + 0.108262i
\(397\) 4.18618 + 4.83111i 0.210098 + 0.242466i 0.851012 0.525147i \(-0.175990\pi\)
−0.640913 + 0.767613i \(0.721444\pi\)
\(398\) −3.14909 21.9024i −0.157850 1.09787i
\(399\) −15.1152 4.43822i −0.756706 0.222189i
\(400\) 0.841254 0.540641i 0.0420627 0.0270320i
\(401\) −2.23577 + 15.5501i −0.111649 + 0.776537i 0.854667 + 0.519177i \(0.173762\pi\)
−0.966316 + 0.257360i \(0.917147\pi\)
\(402\) −0.852560 + 1.86685i −0.0425218 + 0.0931098i
\(403\) 17.1552 37.5646i 0.854561 1.87123i
\(404\) −1.11010 + 7.72089i −0.0552294 + 0.384129i
\(405\) 0.841254 0.540641i 0.0418022 0.0268647i
\(406\) −34.2121 10.0456i −1.69792 0.498553i
\(407\) 0.209995 + 1.46055i 0.0104091 + 0.0723967i
\(408\) −1.53793 1.77487i −0.0761389 0.0878689i
\(409\) −17.0729 10.9721i −0.844201 0.542535i 0.0455598 0.998962i \(-0.485493\pi\)
−0.889761 + 0.456426i \(0.849129\pi\)
\(410\) −1.26167 + 1.45605i −0.0623096 + 0.0719091i
\(411\) −19.5117 + 5.72916i −0.962442 + 0.282599i
\(412\) 4.74954 + 10.4000i 0.233993 + 0.512374i
\(413\) 11.4096 0.561430
\(414\) −4.73370 + 0.769463i −0.232649 + 0.0378170i
\(415\) −9.08475 −0.445953
\(416\) 2.09570 + 4.58895i 0.102750 + 0.224992i
\(417\) −12.4007 + 3.64117i −0.607264 + 0.178309i
\(418\) 7.86904 9.08136i 0.384887 0.444184i
\(419\) −19.6823 12.6491i −0.961544 0.617947i −0.0371188 0.999311i \(-0.511818\pi\)
−0.924425 + 0.381364i \(0.875454\pi\)
\(420\) 3.42109 + 3.94814i 0.166932 + 0.192650i
\(421\) 3.84670 + 26.7544i 0.187477 + 1.30393i 0.838513 + 0.544881i \(0.183425\pi\)
−0.651037 + 0.759046i \(0.725666\pi\)
\(422\) −5.69031 1.67083i −0.277000 0.0813346i
\(423\) 4.14446 2.66348i 0.201510 0.129503i
\(424\) −0.316357 + 2.20031i −0.0153636 + 0.106857i
\(425\) 0.975595 2.13626i 0.0473233 0.103624i
\(426\) 3.15425 6.90685i 0.152824 0.334638i
\(427\) −9.81028 + 68.2320i −0.474753 + 3.30198i
\(428\) −2.90146 + 1.86465i −0.140247 + 0.0901314i
\(429\) −19.2888 5.66371i −0.931272 0.273446i
\(430\) −1.58144 10.9992i −0.0762639 0.530427i
\(431\) 1.44038 + 1.66229i 0.0693807 + 0.0800696i 0.789379 0.613906i \(-0.210403\pi\)
−0.719998 + 0.693976i \(0.755857\pi\)
\(432\) 0.841254 + 0.540641i 0.0404748 + 0.0260116i
\(433\) 0.390582 0.450756i 0.0187702 0.0216620i −0.746287 0.665624i \(-0.768165\pi\)
0.765057 + 0.643963i \(0.222711\pi\)
\(434\) 41.0320 12.0481i 1.96960 0.578327i
\(435\) −2.83534 6.20852i −0.135944 0.297676i
\(436\) −16.2880 −0.780054
\(437\) 0.265226 + 14.4593i 0.0126875 + 0.691682i
\(438\) −15.2549 −0.728906
\(439\) −4.68102 10.2500i −0.223413 0.489206i 0.764421 0.644717i \(-0.223025\pi\)
−0.987834 + 0.155511i \(0.950298\pi\)
\(440\) −3.82347 + 1.12267i −0.182277 + 0.0535214i
\(441\) −13.2882 + 15.3354i −0.632772 + 0.730258i
\(442\) 9.96693 + 6.40536i 0.474079 + 0.304672i
\(443\) −23.0562 26.6082i −1.09543 1.26420i −0.961974 0.273141i \(-0.911937\pi\)
−0.133458 0.991054i \(-0.542608\pi\)
\(444\) 0.0526979 + 0.366522i 0.00250093 + 0.0173944i
\(445\) 3.93784 + 1.15625i 0.186672 + 0.0548117i
\(446\) −2.70061 + 1.73558i −0.127878 + 0.0821820i
\(447\) −0.116914 + 0.813151i −0.00552982 + 0.0384607i
\(448\) −2.17019 + 4.75205i −0.102532 + 0.224513i
\(449\) −2.25009 + 4.92700i −0.106188 + 0.232520i −0.955266 0.295748i \(-0.904431\pi\)
0.849078 + 0.528268i \(0.177158\pi\)
\(450\) −0.142315 + 0.989821i −0.00670879 + 0.0466606i
\(451\) 6.45864 4.15072i 0.304125 0.195450i
\(452\) 14.1442 + 4.15312i 0.665289 + 0.195347i
\(453\) −1.75744 12.2233i −0.0825717 0.574299i
\(454\) 12.2973 + 14.1918i 0.577140 + 0.666056i
\(455\) −22.1712 14.2486i −1.03940 0.667983i
\(456\) 1.97472 2.27895i 0.0924747 0.106722i
\(457\) 23.5774 6.92294i 1.10290 0.323842i 0.320898 0.947114i \(-0.396015\pi\)
0.782005 + 0.623272i \(0.214197\pi\)
\(458\) 8.21507 + 17.9885i 0.383865 + 0.840547i
\(459\) 2.34848 0.109618
\(460\) 2.51839 4.08138i 0.117421 0.190295i
\(461\) 21.0443 0.980130 0.490065 0.871686i \(-0.336973\pi\)
0.490065 + 0.871686i \(0.336973\pi\)
\(462\) −8.64796 18.9364i −0.402339 0.881001i
\(463\) −16.5129 + 4.84862i −0.767418 + 0.225334i −0.641933 0.766761i \(-0.721867\pi\)
−0.125486 + 0.992095i \(0.540049\pi\)
\(464\) 4.46963 5.15823i 0.207497 0.239465i
\(465\) 6.88641 + 4.42563i 0.319350 + 0.205234i
\(466\) −12.2014 14.0811i −0.565217 0.652295i
\(467\) −0.469603 3.26616i −0.0217306 0.151140i 0.976067 0.217469i \(-0.0697802\pi\)
−0.997798 + 0.0663296i \(0.978871\pi\)
\(468\) −4.84049 1.42130i −0.223752 0.0656994i
\(469\) 9.01955 5.79651i 0.416484 0.267658i
\(470\) −0.701118 + 4.87638i −0.0323402 + 0.224931i
\(471\) 4.13552 9.05552i 0.190555 0.417256i
\(472\) −0.907272 + 1.98665i −0.0417606 + 0.0914429i
\(473\) −6.30187 + 43.8305i −0.289760 + 2.01533i
\(474\) −3.64043 + 2.33956i −0.167210 + 0.107460i
\(475\) 2.89333 + 0.849559i 0.132755 + 0.0389804i
\(476\) 1.74603 + 12.1439i 0.0800293 + 0.556616i
\(477\) −1.45571 1.67998i −0.0666526 0.0769212i
\(478\) 14.0980 + 9.06023i 0.644827 + 0.414405i
\(479\) 9.97618 11.5131i 0.455823 0.526048i −0.480591 0.876945i \(-0.659578\pi\)
0.936414 + 0.350897i \(0.114123\pi\)
\(480\) −0.959493 + 0.281733i −0.0437947 + 0.0128593i
\(481\) −0.776019 1.69924i −0.0353834 0.0774789i
\(482\) −15.7631 −0.717989
\(483\) 22.9771 + 9.98814i 1.04549 + 0.454476i
\(484\) 4.87935 0.221789
\(485\) 3.24850 + 7.11323i 0.147507 + 0.322995i
\(486\) −0.959493 + 0.281733i −0.0435235 + 0.0127796i
\(487\) −7.78812 + 8.98797i −0.352914 + 0.407284i −0.904253 0.426997i \(-0.859571\pi\)
0.551339 + 0.834281i \(0.314117\pi\)
\(488\) −11.1005 7.13387i −0.502497 0.322935i
\(489\) −3.91287 4.51570i −0.176946 0.204207i
\(490\) −2.88781 20.0851i −0.130458 0.907354i
\(491\) −8.67987 2.54864i −0.391717 0.115018i 0.0799421 0.996800i \(-0.474526\pi\)
−0.471659 + 0.881781i \(0.656345\pi\)
\(492\) 1.62078 1.04161i 0.0730705 0.0469596i
\(493\) 2.28118 15.8660i 0.102739 0.714568i
\(494\) −6.31955 + 13.8379i −0.284330 + 0.622596i
\(495\) 1.65538 3.62478i 0.0744039 0.162922i
\(496\) −1.16497 + 8.10258i −0.0523089 + 0.363816i
\(497\) −33.3700 + 21.4456i −1.49685 + 0.961967i
\(498\) 8.71675 + 2.55947i 0.390607 + 0.114693i
\(499\) 4.57659 + 31.8309i 0.204876 + 1.42495i 0.789555 + 0.613680i \(0.210312\pi\)
−0.584678 + 0.811265i \(0.698779\pi\)
\(500\) −0.654861 0.755750i −0.0292863 0.0337981i
\(501\) −16.9552 10.8965i −0.757504 0.486818i
\(502\) −2.48659 + 2.86968i −0.110982 + 0.128080i
\(503\) 14.1439 4.15304i 0.630647 0.185175i 0.0492393 0.998787i \(-0.484320\pi\)
0.581408 + 0.813612i \(0.302502\pi\)
\(504\) −2.17019 4.75205i −0.0966678 0.211673i
\(505\) 7.80029 0.347108
\(506\) −14.2111 + 12.7777i −0.631759 + 0.568039i
\(507\) 12.4504 0.552941
\(508\) −1.08832 2.38309i −0.0482864 0.105732i
\(509\) −8.28733 + 2.43338i −0.367330 + 0.107858i −0.460188 0.887822i \(-0.652218\pi\)
0.0928581 + 0.995679i \(0.470400\pi\)
\(510\) −1.53793 + 1.77487i −0.0681007 + 0.0785924i
\(511\) 67.0425 + 43.0856i 2.96579 + 1.90600i
\(512\) −0.654861 0.755750i −0.0289410 0.0333997i
\(513\) 0.429148 + 2.98479i 0.0189473 + 0.131782i
\(514\) 10.6665 + 3.13198i 0.470481 + 0.138146i
\(515\) 9.61826 6.18128i 0.423831 0.272380i
\(516\) −1.58144 + 10.9992i −0.0696191 + 0.484212i
\(517\) 8.15529 17.8576i 0.358669 0.785376i
\(518\) 0.803601 1.75964i 0.0353082 0.0773141i
\(519\) −2.57014 + 17.8757i −0.112817 + 0.784656i
\(520\) 4.24399 2.72745i 0.186111 0.119606i
\(521\) 40.0350 + 11.7553i 1.75396 + 0.515011i 0.991281 0.131762i \(-0.0420633\pi\)
0.762683 + 0.646772i \(0.223882\pi\)
\(522\) 0.971343 + 6.75584i 0.0425145 + 0.295695i
\(523\) −1.58198 1.82571i −0.0691754 0.0798326i 0.720107 0.693863i \(-0.244093\pi\)
−0.789282 + 0.614030i \(0.789547\pi\)
\(524\) −4.02606 2.58739i −0.175879 0.113031i
\(525\) 3.42109 3.94814i 0.149308 0.172311i
\(526\) −10.2050 + 2.99647i −0.444960 + 0.130652i
\(527\) 7.98612 + 17.4872i 0.347881 + 0.761753i
\(528\) 3.98489 0.173420
\(529\) 2.43613 22.8706i 0.105919 0.994375i
\(530\) 2.22294 0.0965582
\(531\) −0.907272 1.98665i −0.0393722 0.0862132i
\(532\) −15.1152 + 4.43822i −0.655326 + 0.192421i
\(533\) −6.36494 + 7.34553i −0.275696 + 0.318170i
\(534\) −3.45258 2.21884i −0.149408 0.0960185i
\(535\) 2.25859 + 2.60656i 0.0976476 + 0.112691i
\(536\) 0.292074 + 2.03142i 0.0126157 + 0.0877439i
\(537\) −1.14009 0.334761i −0.0491985 0.0144460i
\(538\) 21.2571 13.6611i 0.916460 0.588973i
\(539\) −11.5076 + 80.0371i −0.495667 + 3.44744i
\(540\) 0.415415 0.909632i 0.0178766 0.0391443i
\(541\) 2.66013 5.82487i 0.114368 0.250431i −0.843789 0.536676i \(-0.819680\pi\)
0.958156 + 0.286245i \(0.0924071\pi\)
\(542\) 1.24988 8.69312i 0.0536870 0.373401i
\(543\) 10.1832 6.54432i 0.437001 0.280844i
\(544\) −2.25335 0.661644i −0.0966117 0.0283678i
\(545\) 2.31802 + 16.1222i 0.0992933 + 0.690600i
\(546\) 17.2588 + 19.9177i 0.738610 + 0.852401i
\(547\) −9.03781 5.80825i −0.386429 0.248343i 0.332974 0.942936i \(-0.391948\pi\)
−0.719402 + 0.694593i \(0.755584\pi\)
\(548\) −13.3169 + 15.3685i −0.568869 + 0.656510i
\(549\) 12.6607 3.71752i 0.540346 0.158660i
\(550\) 1.65538 + 3.62478i 0.0705858 + 0.154561i
\(551\) 20.5816 0.876805
\(552\) −3.56624 + 3.20655i −0.151789 + 0.136480i
\(553\) 22.6069 0.961343
\(554\) −9.50249 20.8076i −0.403722 0.884028i
\(555\) 0.355291 0.104323i 0.0150813 0.00442826i
\(556\) −8.46355 + 9.76746i −0.358935 + 0.414233i
\(557\) 20.0948 + 12.9142i 0.851445 + 0.547190i 0.892025 0.451986i \(-0.149284\pi\)
−0.0405803 + 0.999176i \(0.512921\pi\)
\(558\) −5.36062 6.18649i −0.226933 0.261895i
\(559\) −7.97812 55.4890i −0.337439 2.34694i
\(560\) 5.01253 + 1.47181i 0.211818 + 0.0621954i
\(561\) 7.87283 5.05956i 0.332391 0.213615i
\(562\) −2.44400 + 16.9984i −0.103094 + 0.717035i
\(563\) 10.2196 22.3778i 0.430705 0.943112i −0.562507 0.826793i \(-0.690163\pi\)
0.993212 0.116320i \(-0.0371097\pi\)
\(564\) 2.04655 4.48133i 0.0861755 0.188698i
\(565\) 2.09792 14.5913i 0.0882600 0.613862i
\(566\) 5.45457 3.50544i 0.229273 0.147345i
\(567\) 5.01253 + 1.47181i 0.210506 + 0.0618103i
\(568\) −1.08060 7.51573i −0.0453409 0.315353i
\(569\) −4.94779 5.71006i −0.207422 0.239378i 0.642501 0.766285i \(-0.277897\pi\)
−0.849923 + 0.526907i \(0.823352\pi\)
\(570\) −2.53678 1.63029i −0.106254 0.0682854i
\(571\) 20.1451 23.2487i 0.843048 0.972929i −0.156844 0.987623i \(-0.550132\pi\)
0.999892 + 0.0146940i \(0.00467742\pi\)
\(572\) −19.2888 + 5.66371i −0.806506 + 0.236811i
\(573\) 6.07556 + 13.3036i 0.253810 + 0.555767i
\(574\) −10.0650 −0.420104
\(575\) −4.39825 1.91192i −0.183420 0.0797325i
\(576\) 1.00000 0.0416667
\(577\) −10.8543 23.7675i −0.451869 0.989454i −0.989266 0.146125i \(-0.953320\pi\)
0.537397 0.843329i \(-0.319408\pi\)
\(578\) 11.0194 3.23559i 0.458347 0.134583i
\(579\) −8.05054 + 9.29082i −0.334569 + 0.386113i
\(580\) −5.74182 3.69004i −0.238416 0.153221i
\(581\) −31.0797 35.8679i −1.28940 1.48805i
\(582\) −1.11289 7.74030i −0.0461307 0.320846i
\(583\) −8.49934 2.49563i −0.352007 0.103359i
\(584\) −12.8332 + 8.24740i −0.531042 + 0.341280i
\(585\) −0.717955 + 4.99349i −0.0296838 + 0.206455i
\(586\) 1.91285 4.18855i 0.0790190 0.173027i
\(587\) 14.2151 31.1267i 0.586719 1.28474i −0.350686 0.936493i \(-0.614051\pi\)
0.937405 0.348242i \(-0.113221\pi\)
\(588\) −2.88781 + 20.0851i −0.119091 + 0.828297i
\(589\) −20.7659 + 13.3454i −0.855642 + 0.549888i
\(590\) 2.09555 + 0.615308i 0.0862722 + 0.0253318i
\(591\) −2.87809 20.0175i −0.118389 0.823411i
\(592\) 0.242489 + 0.279847i 0.00996623 + 0.0115016i
\(593\) −23.2015 14.9107i −0.952770 0.612308i −0.0307820 0.999526i \(-0.509800\pi\)
−0.921988 + 0.387218i \(0.873436\pi\)
\(594\) −2.60955 + 3.01158i −0.107071 + 0.123567i
\(595\) 11.7718 3.45652i 0.482598 0.141704i
\(596\) 0.341269 + 0.747275i 0.0139789 + 0.0306096i
\(597\) 22.1277 0.905625
\(598\) 12.7049 20.5899i 0.519542 0.841984i
\(599\) −45.5746 −1.86213 −0.931063 0.364857i \(-0.881118\pi\)
−0.931063 + 0.364857i \(0.881118\pi\)
\(600\) 0.415415 + 0.909632i 0.0169592 + 0.0371356i
\(601\) 26.1618 7.68180i 1.06716 0.313347i 0.299431 0.954118i \(-0.403203\pi\)
0.767732 + 0.640771i \(0.221385\pi\)
\(602\) 38.0161 43.8729i 1.54942 1.78813i
\(603\) −1.72651 1.10956i −0.0703090 0.0451848i
\(604\) −8.08684 9.33271i −0.329049 0.379743i
\(605\) −0.694404 4.82969i −0.0282315 0.196355i
\(606\) −7.48432 2.19759i −0.304030 0.0892712i
\(607\) −6.91038 + 4.44103i −0.280484 + 0.180256i −0.673317 0.739354i \(-0.735131\pi\)
0.392834 + 0.919610i \(0.371495\pi\)
\(608\) 0.429148 2.98479i 0.0174042 0.121049i
\(609\) 14.8122 32.4342i 0.600221 1.31430i
\(610\) −5.48149 + 12.0028i −0.221939 + 0.485978i
\(611\) −3.53703 + 24.6006i −0.143093 + 0.995232i
\(612\) 1.97567 1.26969i 0.0798617 0.0513240i
\(613\) 19.4964 + 5.72465i 0.787451 + 0.231217i 0.650646 0.759381i \(-0.274498\pi\)
0.136806 + 0.990598i \(0.456316\pi\)
\(614\) −0.898398 6.24849i −0.0362564 0.252169i
\(615\) −1.26167 1.45605i −0.0508756 0.0587135i
\(616\) −17.5129 11.2549i −0.705615 0.453471i
\(617\) 13.9754 16.1285i 0.562628 0.649308i −0.401150 0.916012i \(-0.631389\pi\)
0.963778 + 0.266705i \(0.0859348\pi\)
\(618\) −10.9701 + 3.22112i −0.441283 + 0.129572i
\(619\) −1.13132 2.47725i −0.0454718 0.0995693i 0.885533 0.464577i \(-0.153794\pi\)
−0.931004 + 0.365008i \(0.881066\pi\)
\(620\) 8.18590 0.328754
\(621\) −0.0879548 4.79502i −0.00352950 0.192418i
\(622\) 9.68505 0.388335
\(623\) 8.90664 + 19.5028i 0.356837 + 0.781364i
\(624\) −4.84049 + 1.42130i −0.193775 + 0.0568973i
\(625\) −0.654861 + 0.755750i −0.0261944 + 0.0302300i
\(626\) 21.4214 + 13.7667i 0.856172 + 0.550228i
\(627\) 7.86904 + 9.08136i 0.314259 + 0.362675i
\(628\) −1.41677 9.85382i −0.0565351 0.393210i
\(629\) 0.834396 + 0.245001i 0.0332695 + 0.00976882i
\(630\) −4.39483 + 2.82439i −0.175094 + 0.112526i
\(631\) −1.52965 + 10.6390i −0.0608945 + 0.423531i 0.936456 + 0.350785i \(0.114085\pi\)
−0.997351 + 0.0727456i \(0.976824\pi\)
\(632\) −1.79766 + 3.93633i −0.0715071 + 0.156579i
\(633\) 2.46364 5.39461i 0.0979208 0.214417i
\(634\) 3.20141 22.2663i 0.127144 0.884307i
\(635\) −2.20395 + 1.41639i −0.0874609 + 0.0562077i
\(636\) −2.13289 0.626274i −0.0845747 0.0248334i
\(637\) −14.5685 101.326i −0.577226 4.01469i
\(638\) 17.8110 + 20.5550i 0.705143 + 0.813779i
\(639\) 6.38765 + 4.10509i 0.252692 + 0.162395i
\(640\) −0.654861 + 0.755750i −0.0258856 + 0.0298736i
\(641\) 8.35087 2.45204i 0.329839 0.0968496i −0.112620 0.993638i \(-0.535924\pi\)
0.442459 + 0.896789i \(0.354106\pi\)
\(642\) −1.43275 3.13729i −0.0565463 0.123819i
\(643\) 15.1774 0.598538 0.299269 0.954169i \(-0.403257\pi\)
0.299269 + 0.954169i \(0.403257\pi\)
\(644\) 24.7295 4.01978i 0.974480 0.158402i
\(645\) 11.1123 0.437546
\(646\) −2.94189 6.44184i −0.115747 0.253451i
\(647\) 8.46551 2.48570i 0.332813 0.0977228i −0.111056 0.993814i \(-0.535423\pi\)
0.443870 + 0.896091i \(0.353605\pi\)
\(648\) −0.654861 + 0.755750i −0.0257254 + 0.0296886i
\(649\) −7.32147 4.70523i −0.287393 0.184696i
\(650\) −3.30367 3.81263i −0.129580 0.149544i
\(651\) 6.08599 + 42.3290i 0.238529 + 1.65901i
\(652\) −5.73309 1.68339i −0.224525 0.0659265i
\(653\) −39.0772 + 25.1134i −1.52921 + 0.982762i −0.539133 + 0.842220i \(0.681248\pi\)
−0.990075 + 0.140542i \(0.955115\pi\)
\(654\) 2.31802 16.1222i 0.0906419 0.630429i
\(655\) −1.98809 + 4.35330i −0.0776809 + 0.170098i
\(656\) 0.800350 1.75252i 0.0312484 0.0684245i
\(657\) 2.17099 15.0996i 0.0846985 0.589091i
\(658\) −21.6512 + 13.9144i −0.844054 + 0.542440i
\(659\) −3.69138 1.08389i −0.143796 0.0422222i 0.209043 0.977907i \(-0.432965\pi\)
−0.352838 + 0.935684i \(0.614783\pi\)
\(660\) −0.567109 3.94433i −0.0220747 0.153533i
\(661\) 4.92887 + 5.68822i 0.191711 + 0.221246i 0.843465 0.537184i \(-0.180512\pi\)
−0.651754 + 0.758430i \(0.725967\pi\)
\(662\) −0.395961 0.254469i −0.0153895 0.00989020i
\(663\) −7.75861 + 8.95391i −0.301319 + 0.347741i
\(664\) 8.71675 2.55947i 0.338276 0.0993267i
\(665\) 6.54416 + 14.3297i 0.253772 + 0.555682i
\(666\) −0.370291 −0.0143485
\(667\) −32.4799 4.06341i −1.25762 0.157336i
\(668\) −20.1547 −0.779810
\(669\) −1.33358 2.92012i −0.0515590 0.112898i
\(670\) 1.96918 0.578202i 0.0760759 0.0223379i
\(671\) 34.4335 39.7384i 1.32929 1.53408i
\(672\) −4.39483 2.82439i −0.169534 0.108953i
\(673\) 15.2978 + 17.6546i 0.589687 + 0.680535i 0.969659 0.244463i \(-0.0786118\pi\)
−0.379972 + 0.924998i \(0.624066\pi\)
\(674\) 1.81264 + 12.6072i 0.0698202 + 0.485610i
\(675\) −0.959493 0.281733i −0.0369309 0.0108439i
\(676\) 10.4739 6.73119i 0.402844 0.258892i
\(677\) −1.39345 + 9.69163i −0.0535545 + 0.372480i 0.945365 + 0.326013i \(0.105705\pi\)
−0.998920 + 0.0464668i \(0.985204\pi\)
\(678\) −6.12379 + 13.4092i −0.235183 + 0.514978i
\(679\) −16.9706 + 37.1605i −0.651273 + 1.42609i
\(680\) −0.334224 + 2.32458i −0.0128169 + 0.0891435i
\(681\) −15.7975 + 10.1524i −0.605360 + 0.389041i
\(682\) −31.2986 9.19009i −1.19848 0.351907i
\(683\) −0.981028 6.82320i −0.0375380 0.261082i 0.962407 0.271613i \(-0.0875571\pi\)
−0.999945 + 0.0105305i \(0.996648\pi\)
\(684\) 1.97472 + 2.27895i 0.0755053 + 0.0871378i
\(685\) 17.1073 + 10.9942i 0.653635 + 0.420066i
\(686\) 45.4720 52.4774i 1.73613 2.00360i
\(687\) −18.9745 + 5.57142i −0.723923 + 0.212563i
\(688\) 4.61621 + 10.1081i 0.175991 + 0.385367i
\(689\) 11.2144 0.427233
\(690\) 3.68144 + 3.07360i 0.140150 + 0.117010i
\(691\) −6.18352 −0.235232 −0.117616 0.993059i \(-0.537525\pi\)
−0.117616 + 0.993059i \(0.537525\pi\)
\(692\) 7.50220 + 16.4275i 0.285191 + 0.624481i
\(693\) 19.9744 5.86501i 0.758764 0.222793i
\(694\) 10.7724 12.4320i 0.408914 0.471912i
\(695\) 10.8725 + 6.98735i 0.412419 + 0.265045i
\(696\) 4.46963 + 5.15823i 0.169421 + 0.195522i
\(697\) −0.643925 4.47860i −0.0243904 0.169639i
\(698\) −28.6846 8.42256i −1.08573 0.318799i
\(699\) 15.6742 10.0732i 0.592854 0.381004i
\(700\) 0.743473 5.17097i 0.0281006 0.195444i
\(701\) −6.85596 + 15.0125i −0.258946 + 0.567013i −0.993796 0.111217i \(-0.964525\pi\)
0.734850 + 0.678230i \(0.237252\pi\)
\(702\) 2.09570 4.58895i 0.0790972 0.173199i
\(703\) −0.158909 + 1.10524i −0.00599338 + 0.0416849i
\(704\) 3.35230 2.15439i 0.126345 0.0811968i
\(705\) −4.72697 1.38796i −0.178028 0.0522737i
\(706\) −0.263098 1.82989i −0.00990183 0.0688687i
\(707\) 26.6855 + 30.7967i 1.00361 + 1.15823i
\(708\) −1.83731 1.18077i −0.0690503 0.0443759i
\(709\) 22.7788 26.2881i 0.855476 0.987272i −0.144522 0.989502i \(-0.546164\pi\)
0.999998 + 0.00222979i \(0.000709766\pi\)
\(710\) −7.28545 + 2.13920i −0.273418 + 0.0802827i
\(711\) −1.79766 3.93633i −0.0674176 0.147624i
\(712\) −4.10409 −0.153807
\(713\) 35.4054 16.9606i 1.32594 0.635180i
\(714\) −12.2688 −0.459149
\(715\) 8.35114 + 18.2864i 0.312315 + 0.683874i
\(716\) −1.14009 + 0.334761i −0.0426072 + 0.0125106i
\(717\) −10.9744 + 12.6651i −0.409845 + 0.472986i
\(718\) 20.8344 + 13.3895i 0.777534 + 0.499691i
\(719\) 28.7271 + 33.1528i 1.07134 + 1.23639i 0.970401 + 0.241498i \(0.0776389\pi\)
0.100938 + 0.994893i \(0.467816\pi\)
\(720\) −0.142315 0.989821i −0.00530376 0.0368885i
\(721\) 57.3095 + 16.8276i 2.13432 + 0.626692i
\(722\) −8.33419 + 5.35606i −0.310167 + 0.199332i
\(723\) 2.24332 15.6027i 0.0834301 0.580269i
\(724\) 5.02849 11.0109i 0.186882 0.409215i
\(725\) −2.83534 + 6.20852i −0.105302 + 0.230579i
\(726\) −0.694404 + 4.82969i −0.0257718 + 0.179246i
\(727\) 23.6408 15.1930i 0.876788 0.563478i −0.0230339 0.999735i \(-0.507333\pi\)
0.899822 + 0.436257i \(0.143696\pi\)
\(728\) 25.2874 + 7.42505i 0.937213 + 0.275191i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 9.98981 + 11.5289i 0.369740 + 0.426702i
\(731\) 21.9542 + 14.1091i 0.812005 + 0.521844i
\(732\) 8.64102 9.97227i 0.319381 0.368586i
\(733\) −33.4194 + 9.81281i −1.23437 + 0.362444i −0.832898 0.553426i \(-0.813320\pi\)
−0.401474 + 0.915870i \(0.631502\pi\)
\(734\) 1.01755 + 2.22813i 0.0375585 + 0.0822417i
\(735\) 20.2917 0.748470
\(736\) −1.26652 + 4.62557i −0.0466846 + 0.170501i
\(737\) −8.17822 −0.301249
\(738\) 0.800350 + 1.75252i 0.0294613 + 0.0645112i
\(739\) 34.3640 10.0902i 1.26410 0.371174i 0.420082 0.907486i \(-0.362001\pi\)
0.844020 + 0.536312i \(0.180183\pi\)
\(740\) 0.242489 0.279847i 0.00891407 0.0102874i
\(741\) −12.7977 8.22456i −0.470134 0.302137i
\(742\) 7.60486 + 8.77647i 0.279183 + 0.322195i
\(743\) −2.78611 19.3778i −0.102213 0.710904i −0.974903 0.222630i \(-0.928536\pi\)
0.872690 0.488274i \(-0.162373\pi\)
\(744\) −7.85431 2.30623i −0.287953 0.0845506i
\(745\) 0.691101 0.444144i 0.0253200 0.0162722i
\(746\) 0.175253 1.21891i 0.00641647 0.0446275i
\(747\) −3.77394 + 8.26378i −0.138081 + 0.302356i
\(748\) 3.88764 8.51274i 0.142146 0.311257i
\(749\) −2.56422 + 17.8345i −0.0936944 + 0.651659i
\(750\) 0.841254 0.540641i 0.0307182 0.0197414i
\(751\) −15.3200 4.49836i −0.559035 0.164147i −0.0100047 0.999950i \(-0.503185\pi\)
−0.549030 + 0.835802i \(0.685003\pi\)
\(752\) −0.701118 4.87638i −0.0255671 0.177823i
\(753\) −2.48659 2.86968i −0.0906164 0.104577i
\(754\) −28.9665 18.6157i −1.05490 0.677943i
\(755\) −8.08684 + 9.33271i −0.294310 + 0.339652i
\(756\) 5.01253 1.47181i 0.182304 0.0535293i
\(757\) 7.42875 + 16.2667i 0.270003 + 0.591223i 0.995259 0.0972552i \(-0.0310063\pi\)
−0.725257 + 0.688478i \(0.758279\pi\)
\(758\) −21.0396 −0.764193
\(759\) −10.6252 15.8849i −0.385671 0.576585i
\(760\) −3.01548 −0.109383
\(761\) −18.7709 41.1026i −0.680446 1.48997i −0.862170 0.506620i \(-0.830895\pi\)
0.181723 0.983350i \(-0.441832\pi\)
\(762\) 2.51371 0.738093i 0.0910623 0.0267383i
\(763\) −55.7227 + 64.3074i −2.01730 + 2.32808i
\(764\) 12.3036 + 7.90702i 0.445128 + 0.286066i
\(765\) −1.53793 1.77487i −0.0556040 0.0641704i
\(766\) −2.67603 18.6122i −0.0966888 0.672486i
\(767\) 10.5717 + 3.10413i 0.381721 + 0.112084i
\(768\) 0.841254 0.540641i 0.0303561 0.0195087i
\(769\) 5.71042 39.7169i 0.205923 1.43223i −0.580360 0.814360i \(-0.697088\pi\)
0.786283 0.617867i \(-0.212003\pi\)
\(770\) −8.64796 + 18.9364i −0.311651 + 0.682420i
\(771\) −4.61811 + 10.1122i −0.166317 + 0.364184i
\(772\) −1.74955 + 12.1684i −0.0629677 + 0.437950i
\(773\) −38.3117 + 24.6215i −1.37798 + 0.885572i −0.999203 0.0399165i \(-0.987291\pi\)
−0.378775 + 0.925489i \(0.623654\pi\)
\(774\) −10.6622 3.13069i −0.383243 0.112530i
\(775\) −1.16497 8.10258i −0.0418471 0.291053i
\(776\) −5.12094 5.90988i −0.183831 0.212152i
\(777\) 1.62737 + 1.04584i 0.0583814 + 0.0375194i
\(778\) −12.8179 + 14.7927i −0.459546 + 0.530344i
\(779\) 5.57437 1.63678i 0.199723 0.0586439i
\(780\) 2.09570 + 4.58895i 0.0750382 + 0.164311i
\(781\) 30.2573 1.08269
\(782\) 3.37079 + 10.7467i 0.120539 + 0.384301i
\(783\) −6.82531 −0.243917
\(784\) 8.42947 + 18.4580i 0.301052 + 0.659213i
\(785\) −9.55190 + 2.80469i −0.340922 + 0.100104i
\(786\) 3.13402 3.61685i 0.111787 0.129009i
\(787\) 21.8992 + 14.0737i 0.780621 + 0.501675i 0.869240 0.494391i \(-0.164609\pi\)
−0.0886186 + 0.996066i \(0.528245\pi\)
\(788\) −13.2435 15.2838i −0.471780 0.544463i
\(789\) −1.51364 10.5276i −0.0538870 0.374792i
\(790\) 4.15210 + 1.21917i 0.147725 + 0.0433760i
\(791\) 64.7858 41.6353i 2.30352 1.48038i
\(792\) −0.567109 + 3.94433i −0.0201513 + 0.140156i
\(793\) −27.6532 + 60.5521i −0.981994 + 2.15027i
\(794\) −2.65553 + 5.81480i −0.0942412 + 0.206359i
\(795\) −0.316357 + 2.20031i −0.0112200 + 0.0780370i
\(796\) 18.6150 11.9631i 0.659790 0.424021i
\(797\) −36.8049 10.8069i −1.30370 0.382800i −0.445113 0.895474i \(-0.646837\pi\)
−0.858583 + 0.512675i \(0.828655\pi\)
\(798\) −2.24193 15.5930i −0.0793634 0.551985i
\(799\) −7.57665 8.74392i −0.268043 0.309338i
\(800\) 0.841254 + 0.540641i 0.0297428 + 0.0191145i
\(801\) 2.68761 3.10166i 0.0949619 0.109592i
\(802\) −15.0737 + 4.42603i −0.532270 + 0.156289i
\(803\) −25.2526 55.2956i −0.891147 1.95134i
\(804\) −2.05231 −0.0723793
\(805\) −7.49825 23.9057i −0.264279 0.842567i
\(806\) 41.2965 1.45461
\(807\) 10.4969 + 22.9849i 0.369507 + 0.809108i
\(808\) −7.48432 + 2.19759i −0.263297 + 0.0773111i
\(809\) 2.08327 2.40422i 0.0732439 0.0845279i −0.717945 0.696100i \(-0.754917\pi\)
0.791189 + 0.611572i \(0.209463\pi\)
\(810\) 0.841254 + 0.540641i 0.0295586 + 0.0189962i
\(811\) −9.61669 11.0982i −0.337687 0.389712i 0.561354 0.827576i \(-0.310281\pi\)
−0.899041 + 0.437864i \(0.855735\pi\)
\(812\) −5.07444 35.2935i −0.178078 1.23856i
\(813\) 8.42676 + 2.47432i 0.295539 + 0.0867782i
\(814\) −1.24133 + 0.797753i −0.0435085 + 0.0279612i
\(815\) −0.850349 + 5.91431i −0.0297864 + 0.207169i
\(816\) 0.975595 2.13626i 0.0341527 0.0747839i
\(817\) −13.9201 + 30.4807i −0.487002 + 1.06639i
\(818\) 2.88822 20.0880i 0.100984 0.702362i
\(819\) −22.1712 + 14.2486i −0.774725 + 0.497885i
\(820\) −1.84859 0.542794i −0.0645554 0.0189552i
\(821\) −7.49750 52.1463i −0.261665 1.81992i −0.520347 0.853955i \(-0.674197\pi\)
0.258682 0.965962i \(-0.416712\pi\)
\(822\) −13.3169 15.3685i −0.464480 0.536038i
\(823\) 15.1107 + 9.71104i 0.526725 + 0.338505i 0.776827 0.629714i \(-0.216828\pi\)
−0.250102 + 0.968219i \(0.580464\pi\)
\(824\) −7.48718 + 8.64067i −0.260828 + 0.301012i
\(825\) −3.82347 + 1.12267i −0.133116 + 0.0390865i
\(826\) 4.73972 + 10.3785i 0.164916 + 0.361115i
\(827\) 3.96427 0.137851 0.0689256 0.997622i \(-0.478043\pi\)
0.0689256 + 0.997622i \(0.478043\pi\)
\(828\) −2.66638 3.98628i −0.0926631 0.138533i
\(829\) −15.7253 −0.546161 −0.273081 0.961991i \(-0.588043\pi\)
−0.273081 + 0.961991i \(0.588043\pi\)
\(830\) −3.77394 8.26378i −0.130995 0.286840i
\(831\) 21.9481 6.44455i 0.761371 0.223559i
\(832\) −3.30367 + 3.81263i −0.114534 + 0.132179i
\(833\) 40.0896 + 25.7641i 1.38902 + 0.892672i
\(834\) −8.46355 9.76746i −0.293069 0.338220i
\(835\) 2.86832 + 19.9496i 0.0992622 + 0.690384i
\(836\) 11.5296 + 3.38540i 0.398760 + 0.117087i
\(837\) 6.88641 4.42563i 0.238029 0.152972i
\(838\) 3.32966 23.1583i 0.115021 0.799989i
\(839\) 21.1195 46.2452i 0.729125 1.59656i −0.0715320 0.997438i \(-0.522789\pi\)
0.800657 0.599123i \(-0.204484\pi\)
\(840\) −2.17019 + 4.75205i −0.0748786 + 0.163961i
\(841\) −2.50259 + 17.4059i −0.0862962 + 0.600203i
\(842\) −22.7386 + 14.6132i −0.783626 + 0.503606i
\(843\) −16.4776 4.83825i −0.567518 0.166638i
\(844\) −0.844004 5.87018i −0.0290518 0.202060i
\(845\) −8.15327 9.40938i −0.280481 0.323692i
\(846\) 4.14446 + 2.66348i 0.142489 + 0.0915724i
\(847\) 16.6927 19.2644i 0.573567 0.661932i
\(848\) −2.13289 + 0.626274i −0.0732438 + 0.0215063i
\(849\) 2.69349 + 5.89793i 0.0924404 + 0.202416i
\(850\) 2.34848 0.0805523
\(851\) 0.468982 1.71281i 0.0160765 0.0587143i
\(852\) 7.59302 0.260132
\(853\) 0.884624 + 1.93706i 0.0302889 + 0.0663235i 0.924172 0.381977i \(-0.124757\pi\)
−0.893883 + 0.448301i \(0.852029\pi\)
\(854\) −66.1413 + 19.4209i −2.26331 + 0.664568i
\(855\) 1.97472 2.27895i 0.0675340 0.0779384i
\(856\) −2.90146 1.86465i −0.0991698 0.0637326i
\(857\) −36.9331 42.6230i −1.26161 1.45597i −0.833762 0.552123i \(-0.813818\pi\)
−0.427847 0.903851i \(-0.640728\pi\)
\(858\) −2.86097 19.8985i −0.0976720 0.679324i
\(859\) −12.6116 3.70310i −0.430302 0.126348i 0.0594073 0.998234i \(-0.481079\pi\)
−0.489709 + 0.871886i \(0.662897\pi\)
\(860\) 9.34824 6.00775i 0.318773 0.204863i
\(861\) 1.43240 9.96253i 0.0488159 0.339522i
\(862\) −0.913715 + 2.00076i −0.0311213 + 0.0681461i
\(863\) 14.1867 31.0645i 0.482920 1.05745i −0.498730 0.866758i \(-0.666200\pi\)
0.981650 0.190691i \(-0.0610727\pi\)
\(864\) −0.142315 + 0.989821i −0.00484165 + 0.0336744i
\(865\) 15.1926 9.76372i 0.516565 0.331976i
\(866\) 0.572276 + 0.168035i 0.0194467 + 0.00571007i
\(867\) 1.63443 + 11.3677i 0.0555082 + 0.386068i
\(868\) 28.0047 + 32.3191i 0.950540 + 1.09698i
\(869\) −14.5067 9.32290i −0.492106 0.316258i
\(870\) 4.46963 5.15823i 0.151535 0.174880i
\(871\) 9.93417 2.91694i 0.336607 0.0988366i
\(872\) −6.76628 14.8161i −0.229135 0.501736i
\(873\) 7.81989 0.264663
\(874\) −13.0425 + 6.24787i −0.441168 + 0.211337i
\(875\) −5.22414 −0.176608
\(876\) −6.33710 13.8763i −0.214111 0.468837i
\(877\) −33.1499 + 9.73370i −1.11939 + 0.328684i −0.788531 0.614995i \(-0.789158\pi\)
−0.330863 + 0.943679i \(0.607340\pi\)
\(878\) 7.37916 8.51601i 0.249035 0.287401i
\(879\) 3.87369 + 2.48947i 0.130656 + 0.0839677i
\(880\) −2.60955 3.01158i −0.0879679 0.101520i
\(881\) 2.28644 + 15.9026i 0.0770322 + 0.535771i 0.991398 + 0.130882i \(0.0417808\pi\)
−0.914366 + 0.404889i \(0.867310\pi\)
\(882\) −19.4697 5.71683i −0.655580 0.192496i
\(883\) 9.33427 5.99877i 0.314123 0.201875i −0.374073 0.927399i \(-0.622039\pi\)
0.688196 + 0.725525i \(0.258403\pi\)
\(884\) −1.68611 + 11.7271i −0.0567099 + 0.394426i
\(885\) −0.907272 + 1.98665i −0.0304976 + 0.0667804i
\(886\) 14.6258 32.0261i 0.491364 1.07594i
\(887\) 3.74174 26.0244i 0.125635 0.873813i −0.825360 0.564607i \(-0.809028\pi\)
0.950995 0.309206i \(-0.100063\pi\)
\(888\) −0.311508 + 0.200194i −0.0104535 + 0.00671808i
\(889\) −13.1320 3.85590i −0.440433 0.129323i
\(890\) 0.584072 + 4.06231i 0.0195782 + 0.136169i
\(891\) −2.60955 3.01158i −0.0874232 0.100892i
\(892\) −2.70061 1.73558i −0.0904232 0.0581114i
\(893\) 9.72851 11.2273i 0.325552 0.375707i
\(894\) −0.788236 + 0.231447i −0.0263626 + 0.00774075i
\(895\) 0.493605 + 1.08084i 0.0164994 + 0.0361286i
\(896\) −5.22414 −0.174526
\(897\) 18.5722 + 15.5058i 0.620109 + 0.517724i
\(898\) −5.41648 −0.180750
\(899\) −23.2098 50.8223i −0.774089 1.69502i
\(900\) −0.959493 + 0.281733i −0.0319831 + 0.00939109i
\(901\) −3.41872 + 3.94541i −0.113894 + 0.131441i
\(902\) 6.45864 + 4.15072i 0.215049 + 0.138204i
\(903\) 38.0161 + 43.8729i 1.26510 + 1.46000i
\(904\) 2.09792 + 14.5913i 0.0697756 + 0.485300i
\(905\) −11.6144 3.41030i −0.386076 0.113362i
\(906\) 10.3886 6.67635i 0.345138 0.221807i
\(907\) −2.30878 + 16.0579i −0.0766618 + 0.533195i 0.914912 + 0.403653i \(0.132260\pi\)
−0.991574 + 0.129542i \(0.958649\pi\)
\(908\) −7.80086 + 17.0815i −0.258881 + 0.566870i
\(909\) 3.24036 7.09539i 0.107476 0.235339i
\(910\) 3.75070 26.0867i 0.124335 0.864766i
\(911\) −22.9015 + 14.7179i −0.758762 + 0.487627i −0.861924 0.507038i \(-0.830740\pi\)
0.103162 + 0.994665i \(0.467104\pi\)
\(912\) 2.89333 + 0.849559i 0.0958078 + 0.0281317i
\(913\) 5.15204 + 35.8333i 0.170508 + 1.18591i
\(914\) 16.0917 + 18.5708i 0.532267 + 0.614269i
\(915\) −11.1005 7.13387i −0.366972 0.235838i
\(916\) −12.9502 + 14.9454i −0.427888 + 0.493809i
\(917\) −23.9889 + 7.04377i −0.792182 + 0.232606i
\(918\) 0.975595 + 2.13626i 0.0321994 + 0.0705069i
\(919\) 12.2739 0.404879 0.202440 0.979295i \(-0.435113\pi\)
0.202440 + 0.979295i \(0.435113\pi\)
\(920\) 4.75874 + 0.595344i 0.156891 + 0.0196279i
\(921\) 6.31275 0.208012
\(922\) 8.74211 + 19.1426i 0.287906 + 0.630426i
\(923\) −36.7539 + 10.7919i −1.20977 + 0.355220i
\(924\) 13.6327 15.7329i 0.448481 0.517575i
\(925\) −0.311508 0.200194i −0.0102423 0.00658235i
\(926\) −11.2702 13.0064i −0.370360 0.427418i
\(927\) −1.62712 11.3169i −0.0534417 0.371695i
\(928\) 6.54884 + 1.92291i 0.214976 + 0.0631227i
\(929\) 9.25653 5.94881i 0.303697 0.195174i −0.379912 0.925023i \(-0.624046\pi\)
0.683609 + 0.729848i \(0.260409\pi\)
\(930\) −1.16497 + 8.10258i −0.0382010 + 0.265694i
\(931\) −25.4189 + 55.6596i −0.833071 + 1.82417i
\(932\) 7.74001 16.9483i 0.253532 0.555159i
\(933\) −1.37833 + 9.58647i −0.0451244 + 0.313847i
\(934\) 2.77592 1.78398i 0.0908310 0.0583735i
\(935\) −8.97937 2.63658i −0.293657 0.0862254i
\(936\) −0.717955 4.99349i −0.0234671 0.163217i
\(937\) −6.18108 7.13334i −0.201927 0.233036i 0.645750 0.763549i \(-0.276545\pi\)
−0.847677 + 0.530513i \(0.821999\pi\)
\(938\) 9.01955 + 5.79651i 0.294499 + 0.189263i
\(939\) −16.6752 + 19.2442i −0.544173 + 0.628009i
\(940\) −4.72697 + 1.38796i −0.154177 + 0.0452704i
\(941\) −22.3634 48.9691i −0.729027 1.59635i −0.800804 0.598927i \(-0.795594\pi\)
0.0717765 0.997421i \(-0.477133\pi\)
\(942\) 9.95515 0.324356
\(943\) −9.12008 + 1.48247i −0.296991 + 0.0482758i
\(944\) −2.18401 −0.0710836
\(945\) −2.17019 4.75205i −0.0705962 0.154584i
\(946\) −42.4875 + 12.4755i −1.38139 + 0.405612i
\(947\) −8.48543 + 9.79271i −0.275739 + 0.318220i −0.876680 0.481073i \(-0.840247\pi\)
0.600941 + 0.799293i \(0.294793\pi\)
\(948\) −3.64043 2.33956i −0.118236 0.0759854i
\(949\) 50.3970 + 58.1612i 1.63596 + 1.88799i
\(950\) 0.429148 + 2.98479i 0.0139234 + 0.0968393i
\(951\) 21.5840 + 6.33764i 0.699910 + 0.205512i
\(952\) −10.3212 + 6.63302i −0.334511 + 0.214977i
\(953\) 2.30337 16.0203i 0.0746134 0.518948i −0.917900 0.396812i \(-0.870117\pi\)
0.992513 0.122136i \(-0.0389743\pi\)
\(954\) 0.923441 2.02205i 0.0298975 0.0654664i
\(955\) 6.07556 13.3036i 0.196601 0.430495i
\(956\) −2.38496 + 16.5877i −0.0771350 + 0.536486i
\(957\) −22.8805 + 14.7044i −0.739622 + 0.475326i
\(958\) 14.6170 + 4.29193i 0.472253 + 0.138666i
\(959\) 15.1189 + 105.154i 0.488213 + 3.39560i
\(960\) −0.654861 0.755750i −0.0211355 0.0243917i
\(961\) 30.2926 + 19.4679i 0.977181 + 0.627996i
\(962\) 1.22332 1.41178i 0.0394413 0.0455177i
\(963\) 3.30926 0.971687i 0.106639 0.0313122i
\(964\) −6.54823 14.3386i −0.210904 0.461816i
\(965\) 12.2935 0.395742
\(966\) 0.459488 + 25.0499i 0.0147838 + 0.805967i
\(967\) −50.6541 −1.62893 −0.814463 0.580216i \(-0.802968\pi\)
−0.814463 + 0.580216i \(0.802968\pi\)
\(968\) 2.02696 + 4.43841i 0.0651488 + 0.142656i
\(969\) 6.79494 1.99518i 0.218285 0.0640943i
\(970\) −5.12094 + 5.90988i −0.164424 + 0.189755i
\(971\) 8.29995 + 5.33405i 0.266358 + 0.171178i 0.667002 0.745056i \(-0.267577\pi\)
−0.400644 + 0.916234i \(0.631214\pi\)
\(972\) −0.654861 0.755750i −0.0210047 0.0242407i
\(973\) 9.60880 + 66.8307i 0.308044 + 2.14249i
\(974\) −11.4111 3.35059i −0.365634 0.107360i
\(975\) 4.24399 2.72745i 0.135916 0.0873482i
\(976\) 1.87787 13.0609i 0.0601093 0.418069i
\(977\) −3.50820 + 7.68189i −0.112237 + 0.245765i −0.957412 0.288724i \(-0.906769\pi\)
0.845175 + 0.534490i \(0.179496\pi\)
\(978\) 2.48216 5.43516i 0.0793706 0.173797i
\(979\) 2.32746 16.1879i 0.0743861 0.517367i
\(980\) 17.0704 10.9705i 0.545295 0.350440i
\(981\) 15.6282 + 4.58886i 0.498971 + 0.146511i
\(982\) −1.28742 8.95423i −0.0410833 0.285741i
\(983\) −11.6939 13.4954i −0.372976 0.430438i 0.537969 0.842965i \(-0.319192\pi\)
−0.910945 + 0.412527i \(0.864646\pi\)
\(984\) 1.62078 + 1.04161i 0.0516687 + 0.0332054i
\(985\) −13.2435 + 15.2838i −0.421973 + 0.486983i
\(986\) 15.3798 4.51593i 0.489794 0.143816i
\(987\) −10.6915 23.4111i −0.340314 0.745183i
\(988\) −15.2126 −0.483978
\(989\) 27.9851 45.3535i 0.889874 1.44216i
\(990\) 3.98489 0.126648
\(991\) 5.78897 + 12.6761i 0.183893 + 0.402669i 0.979017 0.203777i \(-0.0653218\pi\)
−0.795125 + 0.606446i \(0.792595\pi\)
\(992\) −7.85431 + 2.30623i −0.249375 + 0.0732230i
\(993\) 0.308230 0.355716i 0.00978137 0.0112883i
\(994\) −33.3700 21.4456i −1.05843 0.680213i
\(995\) −14.4905 16.7230i −0.459381 0.530154i
\(996\) 1.29289 + 8.99228i 0.0409669 + 0.284931i
\(997\) 24.4088 + 7.16706i 0.773033 + 0.226983i 0.644379 0.764706i \(-0.277116\pi\)
0.128654 + 0.991689i \(0.458934\pi\)
\(998\) −27.0532 + 17.3860i −0.856354 + 0.550345i
\(999\) 0.0526979 0.366522i 0.00166729 0.0115962i
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 690.2.m.g.211.3 yes 30
23.6 even 11 inner 690.2.m.g.121.3 30
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
690.2.m.g.121.3 30 23.6 even 11 inner
690.2.m.g.211.3 yes 30 1.1 even 1 trivial