Properties

Label 201.4.i.b.22.16
Level $201$
Weight $4$
Character 201.22
Analytic conductor $11.859$
Analytic rank $0$
Dimension $170$
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] = [201,4,Mod(22,201)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(201, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 20]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("201.22");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 201 = 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 201.i (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: \(11.8593839112\)
Analytic rank: \(0\)
Dimension: \(170\)
Relative dimension: \(17\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 22.16
Character \(\chi\) \(=\) 201.22
Dual form 201.4.i.b.64.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(4.37690 - 1.28517i) q^{2} +(0.426945 + 2.96946i) q^{3} +(10.7756 - 6.92503i) q^{4} +(-8.92036 + 19.5329i) q^{5} +(5.68497 + 12.4484i) q^{6} +(-12.4208 + 3.64706i) q^{7} +(14.3655 - 16.5787i) q^{8} +(-8.63544 + 2.53559i) q^{9} +O(q^{10})\) \(q+(4.37690 - 1.28517i) q^{2} +(0.426945 + 2.96946i) q^{3} +(10.7756 - 6.92503i) q^{4} +(-8.92036 + 19.5329i) q^{5} +(5.68497 + 12.4484i) q^{6} +(-12.4208 + 3.64706i) q^{7} +(14.3655 - 16.5787i) q^{8} +(-8.63544 + 2.53559i) q^{9} +(-13.9404 + 96.9576i) q^{10} +(4.70628 - 10.3053i) q^{11} +(25.1642 + 29.0410i) q^{12} +(4.96525 + 5.73021i) q^{13} +(-49.6773 + 31.9257i) q^{14} +(-61.8107 - 18.1492i) q^{15} +(-0.998143 + 2.18563i) q^{16} +(30.7638 + 19.7707i) q^{17} +(-34.5378 + 22.1961i) q^{18} +(62.4622 + 18.3405i) q^{19} +(39.1438 + 272.251i) q^{20} +(-16.1328 - 35.3259i) q^{21} +(7.35480 - 51.1538i) q^{22} +(10.5331 + 73.2595i) q^{23} +(55.3632 + 35.5798i) q^{24} +(-220.103 - 254.012i) q^{25} +(29.0967 + 18.6993i) q^{26} +(-11.2162 - 24.5601i) q^{27} +(-108.585 + 125.313i) q^{28} +235.999 q^{29} -293.864 q^{30} +(140.339 - 161.960i) q^{31} +(-26.5353 + 184.557i) q^{32} +(32.6106 + 9.57534i) q^{33} +(160.059 + 46.9975i) q^{34} +(39.5600 - 275.146i) q^{35} +(-75.4926 + 87.1231i) q^{36} +134.737 q^{37} +296.961 q^{38} +(-14.8958 + 17.1906i) q^{39} +(195.684 + 428.489i) q^{40} +(239.913 + 154.182i) q^{41} +(-116.012 - 133.884i) q^{42} +(-38.8420 - 24.9623i) q^{43} +(-20.6518 - 143.637i) q^{44} +(27.5038 - 191.293i) q^{45} +(140.254 + 307.113i) q^{46} +(-38.5666 - 268.236i) q^{47} +(-6.91629 - 2.03081i) q^{48} +(-147.576 + 94.8413i) q^{49} +(-1289.82 - 828.914i) q^{50} +(-45.5739 + 99.7930i) q^{51} +(93.1852 + 27.3617i) q^{52} +(-489.800 + 314.775i) q^{53} +(-80.6562 - 93.0822i) q^{54} +(159.311 + 183.854i) q^{55} +(-117.967 + 258.312i) q^{56} +(-27.7937 + 193.310i) q^{57} +(1032.95 - 303.300i) q^{58} +(261.484 - 301.768i) q^{59} +(-791.728 + 232.472i) q^{60} +(-27.8572 - 60.9988i) q^{61} +(406.104 - 889.243i) q^{62} +(98.0112 - 62.9879i) q^{63} +(118.310 + 822.864i) q^{64} +(-156.219 + 45.8701i) q^{65} +155.039 q^{66} +(-0.153473 + 548.419i) q^{67} +468.410 q^{68} +(-213.045 + 62.5555i) q^{69} +(-180.460 - 1255.13i) q^{70} +(-174.346 + 112.046i) q^{71} +(-82.0159 + 179.590i) q^{72} +(59.3225 + 129.898i) q^{73} +(589.732 - 173.161i) q^{74} +(660.308 - 762.035i) q^{75} +(800.074 - 234.923i) q^{76} +(-20.8714 + 145.164i) q^{77} +(-43.1043 + 94.3853i) q^{78} +(-545.270 - 629.275i) q^{79} +(-33.7878 - 38.9932i) q^{80} +(68.1415 - 43.7919i) q^{81} +(1248.23 + 366.512i) q^{82} +(532.487 - 1165.98i) q^{83} +(-418.473 - 268.936i) q^{84} +(-660.603 + 424.544i) q^{85} +(-202.088 - 59.3385i) q^{86} +(100.759 + 700.791i) q^{87} +(-103.241 - 226.066i) q^{88} +(-160.496 + 1116.28i) q^{89} +(-125.464 - 872.619i) q^{90} +(-82.5706 - 53.0649i) q^{91} +(620.825 + 716.470i) q^{92} +(540.852 + 347.584i) q^{93} +(-513.532 - 1124.48i) q^{94} +(-915.429 + 1056.46i) q^{95} -559.365 q^{96} -942.143 q^{97} +(-524.038 + 604.772i) q^{98} +(-14.5107 + 100.924i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 170 q + 2 q^{2} + 51 q^{3} - 74 q^{4} - 4 q^{5} + 27 q^{6} + 12 q^{7} - 237 q^{8} - 153 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 170 q + 2 q^{2} + 51 q^{3} - 74 q^{4} - 4 q^{5} + 27 q^{6} + 12 q^{7} - 237 q^{8} - 153 q^{9} - 103 q^{10} - 144 q^{11} + 57 q^{12} + 124 q^{13} - 46 q^{14} - 54 q^{15} - 186 q^{16} - 30 q^{17} + 18 q^{18} - 80 q^{19} - 252 q^{20} - 36 q^{21} + 85 q^{22} - 802 q^{23} + 18 q^{24} - 613 q^{25} + 240 q^{26} + 459 q^{27} - 1555 q^{28} + 2192 q^{29} - 450 q^{30} - 58 q^{31} + 1859 q^{32} - 426 q^{33} + 302 q^{34} - 36 q^{35} - 171 q^{36} + 3954 q^{37} - 784 q^{38} - 372 q^{39} + 3005 q^{40} - 366 q^{41} + 798 q^{42} + 3050 q^{43} + 1975 q^{44} - 36 q^{45} + 3333 q^{46} + 328 q^{47} + 558 q^{48} - 3167 q^{49} + 2759 q^{50} + 486 q^{51} - 3726 q^{52} - 104 q^{53} - 54 q^{54} + 998 q^{55} + 7120 q^{56} - 255 q^{57} - 1612 q^{58} - 2324 q^{59} + 2835 q^{60} - 1876 q^{61} - 2496 q^{62} + 207 q^{63} + 3083 q^{64} - 7636 q^{65} - 3060 q^{66} - 659 q^{67} - 1178 q^{68} + 30 q^{69} - 2112 q^{70} - 8352 q^{71} - 846 q^{72} - 3925 q^{73} + 2196 q^{74} + 1839 q^{75} + 4532 q^{76} - 2118 q^{77} + 732 q^{78} - 4505 q^{79} - 3364 q^{80} - 1377 q^{81} - 6904 q^{82} + 3272 q^{83} - 2166 q^{84} + 6262 q^{85} - 8196 q^{86} - 174 q^{87} - 11862 q^{88} - 3226 q^{89} - 927 q^{90} - 7534 q^{91} + 10236 q^{92} - 3258 q^{93} + 5012 q^{94} - 1294 q^{95} + 1188 q^{96} - 1674 q^{97} - 9839 q^{98} + 288 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).

\(n\) \(68\) \(136\)
\(\chi(n)\) \(1\) \(e\left(\frac{10}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.37690 1.28517i 1.54747 0.454378i 0.607125 0.794606i \(-0.292323\pi\)
0.940343 + 0.340229i \(0.110504\pi\)
\(3\) 0.426945 + 2.96946i 0.0821655 + 0.571474i
\(4\) 10.7756 6.92503i 1.34694 0.865629i
\(5\) −8.92036 + 19.5329i −0.797861 + 1.74707i −0.145229 + 0.989398i \(0.546392\pi\)
−0.652632 + 0.757675i \(0.726335\pi\)
\(6\) 5.68497 + 12.4484i 0.386813 + 0.847003i
\(7\) −12.4208 + 3.64706i −0.670658 + 0.196923i −0.599296 0.800528i \(-0.704553\pi\)
−0.0713618 + 0.997450i \(0.522734\pi\)
\(8\) 14.3655 16.5787i 0.634874 0.732683i
\(9\) −8.63544 + 2.53559i −0.319831 + 0.0939109i
\(10\) −13.9404 + 96.9576i −0.440834 + 3.06607i
\(11\) 4.70628 10.3053i 0.129000 0.282470i −0.834101 0.551612i \(-0.814013\pi\)
0.963100 + 0.269142i \(0.0867401\pi\)
\(12\) 25.1642 + 29.0410i 0.605356 + 0.698619i
\(13\) 4.96525 + 5.73021i 0.105932 + 0.122252i 0.806239 0.591589i \(-0.201499\pi\)
−0.700308 + 0.713841i \(0.746954\pi\)
\(14\) −49.6773 + 31.9257i −0.948344 + 0.609464i
\(15\) −61.8107 18.1492i −1.06396 0.312408i
\(16\) −0.998143 + 2.18563i −0.0155960 + 0.0341504i
\(17\) 30.7638 + 19.7707i 0.438901 + 0.282065i 0.741372 0.671094i \(-0.234175\pi\)
−0.302471 + 0.953158i \(0.597812\pi\)
\(18\) −34.5378 + 22.1961i −0.452257 + 0.290648i
\(19\) 62.4622 + 18.3405i 0.754200 + 0.221453i 0.636162 0.771556i \(-0.280521\pi\)
0.118039 + 0.993009i \(0.462339\pi\)
\(20\) 39.1438 + 272.251i 0.437641 + 3.04386i
\(21\) −16.1328 35.3259i −0.167641 0.367083i
\(22\) 7.35480 51.1538i 0.0712749 0.495728i
\(23\) 10.5331 + 73.2595i 0.0954917 + 0.664160i 0.980199 + 0.198013i \(0.0634489\pi\)
−0.884708 + 0.466146i \(0.845642\pi\)
\(24\) 55.3632 + 35.5798i 0.470874 + 0.302612i
\(25\) −220.103 254.012i −1.76082 2.03209i
\(26\) 29.0967 + 18.6993i 0.219475 + 0.141048i
\(27\) −11.2162 24.5601i −0.0799467 0.175059i
\(28\) −108.585 + 125.313i −0.732877 + 0.845785i
\(29\) 235.999 1.51117 0.755585 0.655050i \(-0.227353\pi\)
0.755585 + 0.655050i \(0.227353\pi\)
\(30\) −293.864 −1.78840
\(31\) 140.339 161.960i 0.813086 0.938351i −0.185936 0.982562i \(-0.559532\pi\)
0.999022 + 0.0442105i \(0.0140772\pi\)
\(32\) −26.5353 + 184.557i −0.146588 + 1.01954i
\(33\) 32.6106 + 9.57534i 0.172024 + 0.0505107i
\(34\) 160.059 + 46.9975i 0.807349 + 0.237059i
\(35\) 39.5600 275.146i 0.191053 1.32880i
\(36\) −75.4926 + 87.1231i −0.349503 + 0.403348i
\(37\) 134.737 0.598667 0.299334 0.954149i \(-0.403236\pi\)
0.299334 + 0.954149i \(0.403236\pi\)
\(38\) 296.961 1.26772
\(39\) −14.8958 + 17.1906i −0.0611598 + 0.0705821i
\(40\) 195.684 + 428.489i 0.773510 + 1.69375i
\(41\) 239.913 + 154.182i 0.913855 + 0.587299i 0.910869 0.412697i \(-0.135413\pi\)
0.00298650 + 0.999996i \(0.499049\pi\)
\(42\) −116.012 133.884i −0.426214 0.491877i
\(43\) −38.8420 24.9623i −0.137752 0.0885281i 0.469950 0.882693i \(-0.344272\pi\)
−0.607702 + 0.794165i \(0.707908\pi\)
\(44\) −20.6518 143.637i −0.0707587 0.492138i
\(45\) 27.5038 191.293i 0.0911117 0.633696i
\(46\) 140.254 + 307.113i 0.449550 + 0.984376i
\(47\) −38.5666 268.236i −0.119692 0.832474i −0.957896 0.287117i \(-0.907303\pi\)
0.838204 0.545357i \(-0.183606\pi\)
\(48\) −6.91629 2.03081i −0.0207975 0.00610670i
\(49\) −147.576 + 94.8413i −0.430251 + 0.276505i
\(50\) −1289.82 828.914i −3.64815 2.34452i
\(51\) −45.5739 + 99.7930i −0.125130 + 0.273996i
\(52\) 93.1852 + 27.3617i 0.248509 + 0.0729688i
\(53\) −489.800 + 314.775i −1.26942 + 0.815806i −0.989544 0.144230i \(-0.953929\pi\)
−0.279875 + 0.960036i \(0.590293\pi\)
\(54\) −80.6562 93.0822i −0.203258 0.234572i
\(55\) 159.311 + 183.854i 0.390572 + 0.450744i
\(56\) −117.967 + 258.312i −0.281501 + 0.616401i
\(57\) −27.7937 + 193.310i −0.0645854 + 0.449201i
\(58\) 1032.95 303.300i 2.33849 0.686642i
\(59\) 261.484 301.768i 0.576988 0.665879i −0.389967 0.920829i \(-0.627513\pi\)
0.966954 + 0.254950i \(0.0820590\pi\)
\(60\) −791.728 + 232.472i −1.70353 + 0.500201i
\(61\) −27.8572 60.9988i −0.0584713 0.128034i 0.878141 0.478402i \(-0.158784\pi\)
−0.936612 + 0.350368i \(0.886057\pi\)
\(62\) 406.104 889.243i 0.831859 1.82152i
\(63\) 98.0112 62.9879i 0.196004 0.125964i
\(64\) 118.310 + 822.864i 0.231074 + 1.60716i
\(65\) −156.219 + 45.8701i −0.298102 + 0.0875306i
\(66\) 155.039 0.289152
\(67\) −0.153473 + 548.419i −0.000279846 + 1.00000i
\(68\) 468.410 0.835339
\(69\) −213.045 + 62.5555i −0.371704 + 0.109142i
\(70\) −180.460 1255.13i −0.308130 2.14309i
\(71\) −174.346 + 112.046i −0.291424 + 0.187287i −0.678181 0.734895i \(-0.737232\pi\)
0.386757 + 0.922182i \(0.373595\pi\)
\(72\) −82.0159 + 179.590i −0.134245 + 0.293956i
\(73\) 59.3225 + 129.898i 0.0951119 + 0.208266i 0.951208 0.308551i \(-0.0998440\pi\)
−0.856096 + 0.516817i \(0.827117\pi\)
\(74\) 589.732 173.161i 0.926418 0.272021i
\(75\) 660.308 762.035i 1.01661 1.17323i
\(76\) 800.074 234.923i 1.20756 0.354572i
\(77\) −20.8714 + 145.164i −0.0308899 + 0.214844i
\(78\) −43.1043 + 94.3853i −0.0625718 + 0.137013i
\(79\) −545.270 629.275i −0.776553 0.896189i 0.220303 0.975432i \(-0.429295\pi\)
−0.996855 + 0.0792421i \(0.974750\pi\)
\(80\) −33.7878 38.9932i −0.0472199 0.0544946i
\(81\) 68.1415 43.7919i 0.0934726 0.0600712i
\(82\) 1248.23 + 366.512i 1.68102 + 0.493591i
\(83\) 532.487 1165.98i 0.704193 1.54197i −0.130619 0.991433i \(-0.541696\pi\)
0.834812 0.550535i \(-0.185576\pi\)
\(84\) −418.473 268.936i −0.543561 0.349325i
\(85\) −660.603 + 424.544i −0.842970 + 0.541744i
\(86\) −202.088 59.3385i −0.253393 0.0744028i
\(87\) 100.759 + 700.791i 0.124166 + 0.863594i
\(88\) −103.241 226.066i −0.125063 0.273849i
\(89\) −160.496 + 1116.28i −0.191152 + 1.32949i 0.637811 + 0.770193i \(0.279840\pi\)
−0.828964 + 0.559302i \(0.811069\pi\)
\(90\) −125.464 872.619i −0.146945 1.02202i
\(91\) −82.5706 53.0649i −0.0951181 0.0611287i
\(92\) 620.825 + 716.470i 0.703538 + 0.811926i
\(93\) 540.852 + 347.584i 0.603051 + 0.387557i
\(94\) −513.532 1124.48i −0.563477 1.23384i
\(95\) −915.429 + 1056.46i −0.988642 + 1.14095i
\(96\) −559.365 −0.594687
\(97\) −942.143 −0.986187 −0.493093 0.869976i \(-0.664134\pi\)
−0.493093 + 0.869976i \(0.664134\pi\)
\(98\) −524.038 + 604.772i −0.540161 + 0.623379i
\(99\) −14.5107 + 100.924i −0.0147311 + 0.102457i
\(100\) −4130.77 1212.90i −4.13077 1.21290i
\(101\) 1660.86 + 487.672i 1.63625 + 0.480447i 0.965319 0.261071i \(-0.0840758\pi\)
0.670933 + 0.741518i \(0.265894\pi\)
\(102\) −71.2212 + 495.355i −0.0691368 + 0.480857i
\(103\) −525.494 + 606.452i −0.502703 + 0.580150i −0.949215 0.314627i \(-0.898121\pi\)
0.446512 + 0.894778i \(0.352666\pi\)
\(104\) 166.328 0.156825
\(105\) 833.926 0.775075
\(106\) −1739.26 + 2007.22i −1.59370 + 1.83923i
\(107\) 401.436 + 879.022i 0.362694 + 0.794190i 0.999727 + 0.0233532i \(0.00743422\pi\)
−0.637033 + 0.770837i \(0.719839\pi\)
\(108\) −290.940 186.976i −0.259220 0.166590i
\(109\) −423.952 489.266i −0.372543 0.429938i 0.538260 0.842779i \(-0.319082\pi\)
−0.910803 + 0.412841i \(0.864536\pi\)
\(110\) 933.572 + 599.970i 0.809206 + 0.520045i
\(111\) 57.5254 + 400.098i 0.0491898 + 0.342122i
\(112\) 4.42656 30.7874i 0.00373456 0.0259744i
\(113\) −971.658 2127.63i −0.808902 1.77125i −0.612059 0.790812i \(-0.709658\pi\)
−0.196843 0.980435i \(-0.563069\pi\)
\(114\) 126.786 + 881.817i 0.104163 + 0.724471i
\(115\) −1524.93 447.759i −1.23652 0.363076i
\(116\) 2543.02 1634.30i 2.03546 1.30811i
\(117\) −57.4066 36.8930i −0.0453611 0.0291518i
\(118\) 756.663 1656.86i 0.590309 1.29260i
\(119\) −454.215 133.369i −0.349897 0.102739i
\(120\) −1188.84 + 764.018i −0.904378 + 0.581208i
\(121\) 787.569 + 908.903i 0.591712 + 0.682872i
\(122\) −200.322 231.184i −0.148659 0.171561i
\(123\) −355.410 + 778.239i −0.260539 + 0.570500i
\(124\) 390.655 2717.06i 0.282918 1.96774i
\(125\) 4349.53 1277.14i 3.11227 0.913845i
\(126\) 348.035 401.653i 0.246074 0.283985i
\(127\) 896.198 263.148i 0.626179 0.183863i 0.0467780 0.998905i \(-0.485105\pi\)
0.579401 + 0.815043i \(0.303286\pi\)
\(128\) 955.706 + 2092.70i 0.659947 + 1.44508i
\(129\) 57.5411 125.997i 0.0392730 0.0859958i
\(130\) −624.805 + 401.538i −0.421531 + 0.270902i
\(131\) −312.717 2175.00i −0.208567 1.45061i −0.777839 0.628464i \(-0.783684\pi\)
0.569272 0.822149i \(-0.307225\pi\)
\(132\) 417.707 122.650i 0.275430 0.0808735i
\(133\) −842.716 −0.549419
\(134\) 704.142 + 2400.57i 0.453945 + 1.54760i
\(135\) 579.781 0.369627
\(136\) 769.712 226.008i 0.485311 0.142500i
\(137\) −316.416 2200.72i −0.197323 1.37241i −0.812011 0.583642i \(-0.801627\pi\)
0.614688 0.788770i \(-0.289282\pi\)
\(138\) −852.080 + 547.599i −0.525608 + 0.337788i
\(139\) 337.279 738.537i 0.205810 0.450661i −0.778376 0.627798i \(-0.783956\pi\)
0.984186 + 0.177137i \(0.0566835\pi\)
\(140\) −1479.11 3238.81i −0.892913 1.95521i
\(141\) 780.052 229.044i 0.465902 0.136801i
\(142\) −619.098 + 714.478i −0.365870 + 0.422237i
\(143\) 82.4195 24.2006i 0.0481977 0.0141521i
\(144\) 3.07754 21.4047i 0.00178098 0.0123870i
\(145\) −2105.20 + 4609.74i −1.20570 + 2.64013i
\(146\) 426.590 + 492.311i 0.241814 + 0.279068i
\(147\) −344.635 397.730i −0.193367 0.223158i
\(148\) 1451.87 933.060i 0.806371 0.518223i
\(149\) 1010.62 + 296.746i 0.555662 + 0.163157i 0.547494 0.836810i \(-0.315582\pi\)
0.00816774 + 0.999967i \(0.497400\pi\)
\(150\) 1910.75 4183.96i 1.04008 2.27746i
\(151\) 1281.63 + 823.655i 0.690714 + 0.443895i 0.838340 0.545148i \(-0.183527\pi\)
−0.147626 + 0.989043i \(0.547163\pi\)
\(152\) 1201.37 772.071i 0.641077 0.411995i
\(153\) −315.789 92.7241i −0.166863 0.0489954i
\(154\) 95.2088 + 662.191i 0.0498191 + 0.346499i
\(155\) 1911.67 + 4185.97i 0.990638 + 2.16919i
\(156\) −41.4645 + 288.392i −0.0212809 + 0.148012i
\(157\) 229.782 + 1598.17i 0.116806 + 0.812406i 0.961036 + 0.276424i \(0.0891495\pi\)
−0.844229 + 0.535982i \(0.819941\pi\)
\(158\) −3195.32 2053.51i −1.60890 1.03398i
\(159\) −1143.83 1320.05i −0.570514 0.658408i
\(160\) −3368.23 2164.63i −1.66426 1.06956i
\(161\) −398.011 871.524i −0.194830 0.426619i
\(162\) 241.969 279.247i 0.117351 0.135430i
\(163\) −1102.82 −0.529934 −0.264967 0.964257i \(-0.585361\pi\)
−0.264967 + 0.964257i \(0.585361\pi\)
\(164\) 3652.91 1.73930
\(165\) −477.932 + 551.563i −0.225497 + 0.260237i
\(166\) 832.150 5787.73i 0.389081 2.70612i
\(167\) 3415.55 + 1002.90i 1.58265 + 0.464709i 0.950652 0.310258i \(-0.100416\pi\)
0.632001 + 0.774967i \(0.282234\pi\)
\(168\) −817.415 240.015i −0.375386 0.110223i
\(169\) 304.484 2117.73i 0.138591 0.963921i
\(170\) −2345.78 + 2707.17i −1.05831 + 1.22136i
\(171\) −585.892 −0.262013
\(172\) −591.409 −0.262177
\(173\) −1122.06 + 1294.93i −0.493115 + 0.569085i −0.946695 0.322131i \(-0.895601\pi\)
0.453581 + 0.891215i \(0.350146\pi\)
\(174\) 1341.65 + 2937.80i 0.584541 + 1.27997i
\(175\) 3660.24 + 2352.29i 1.58107 + 1.01609i
\(176\) 17.8261 + 20.5724i 0.00763460 + 0.00881080i
\(177\) 1007.73 + 647.628i 0.427941 + 0.275021i
\(178\) 732.133 + 5092.09i 0.308290 + 2.14421i
\(179\) 26.9634 187.535i 0.0112589 0.0783072i −0.983417 0.181357i \(-0.941951\pi\)
0.994676 + 0.103050i \(0.0328601\pi\)
\(180\) −1028.34 2251.76i −0.425823 0.932422i
\(181\) −402.968 2802.71i −0.165483 1.15096i −0.888080 0.459689i \(-0.847961\pi\)
0.722597 0.691269i \(-0.242948\pi\)
\(182\) −429.601 126.142i −0.174968 0.0513752i
\(183\) 169.240 108.764i 0.0683640 0.0439348i
\(184\) 1365.86 + 877.788i 0.547244 + 0.351692i
\(185\) −1201.91 + 2631.81i −0.477653 + 1.04592i
\(186\) 2813.96 + 826.253i 1.10930 + 0.325720i
\(187\) 348.527 223.984i 0.136293 0.0875902i
\(188\) −2273.12 2623.32i −0.881832 1.01769i
\(189\) 228.886 + 264.148i 0.0880899 + 0.101661i
\(190\) −2649.00 + 5800.51i −1.01147 + 2.21481i
\(191\) −568.445 + 3953.63i −0.215347 + 1.49777i 0.539564 + 0.841944i \(0.318589\pi\)
−0.754911 + 0.655827i \(0.772320\pi\)
\(192\) −2392.95 + 702.635i −0.899462 + 0.264106i
\(193\) −3269.98 + 3773.76i −1.21958 + 1.40747i −0.334258 + 0.942482i \(0.608486\pi\)
−0.885318 + 0.464985i \(0.846060\pi\)
\(194\) −4123.67 + 1210.82i −1.52609 + 0.448101i
\(195\) −202.907 444.304i −0.0745151 0.163165i
\(196\) −933.434 + 2043.94i −0.340173 + 0.744875i
\(197\) 2488.02 1598.95i 0.899816 0.578277i −0.00691953 0.999976i \(-0.502203\pi\)
0.906736 + 0.421699i \(0.138566\pi\)
\(198\) 66.1932 + 460.384i 0.0237583 + 0.165243i
\(199\) 2906.23 853.346i 1.03526 0.303980i 0.280413 0.959879i \(-0.409529\pi\)
0.754849 + 0.655899i \(0.227710\pi\)
\(200\) −7373.09 −2.60678
\(201\) −1628.58 + 233.689i −0.571497 + 0.0820056i
\(202\) 7896.15 2.75035
\(203\) −2931.29 + 860.704i −1.01348 + 0.297584i
\(204\) 199.985 + 1390.93i 0.0686360 + 0.477374i
\(205\) −5151.73 + 3310.82i −1.75518 + 1.12799i
\(206\) −1520.64 + 3329.73i −0.514310 + 1.12618i
\(207\) −276.715 605.920i −0.0929130 0.203451i
\(208\) −17.4801 + 5.13263i −0.00582706 + 0.00171098i
\(209\) 482.970 557.377i 0.159846 0.184472i
\(210\) 3650.01 1071.74i 1.19940 0.352177i
\(211\) −376.444 + 2618.23i −0.122822 + 0.854248i 0.831512 + 0.555507i \(0.187476\pi\)
−0.954334 + 0.298741i \(0.903433\pi\)
\(212\) −3098.04 + 6783.76i −1.00365 + 2.19769i
\(213\) −407.152 469.878i −0.130974 0.151153i
\(214\) 2886.74 + 3331.48i 0.922120 + 1.06418i
\(215\) 834.069 536.024i 0.264572 0.170030i
\(216\) −568.302 166.868i −0.179019 0.0525646i
\(217\) −1152.44 + 2523.49i −0.360519 + 0.789428i
\(218\) −2484.39 1596.62i −0.771853 0.496040i
\(219\) −360.400 + 231.615i −0.111204 + 0.0714662i
\(220\) 2989.86 + 877.902i 0.916256 + 0.269037i
\(221\) 39.4599 + 274.450i 0.0120107 + 0.0835361i
\(222\) 765.978 + 1677.26i 0.231572 + 0.507073i
\(223\) 298.494 2076.07i 0.0896350 0.623425i −0.894641 0.446786i \(-0.852568\pi\)
0.984276 0.176639i \(-0.0565225\pi\)
\(224\) −343.503 2389.11i −0.102461 0.712631i
\(225\) 2544.75 + 1635.41i 0.754001 + 0.484567i
\(226\) −6987.23 8063.69i −2.05656 2.37340i
\(227\) −418.772 269.129i −0.122445 0.0786903i 0.477985 0.878368i \(-0.341367\pi\)
−0.600430 + 0.799678i \(0.705004\pi\)
\(228\) 1039.18 + 2275.49i 0.301849 + 0.660956i
\(229\) 1529.41 1765.03i 0.441336 0.509329i −0.490882 0.871226i \(-0.663325\pi\)
0.932218 + 0.361897i \(0.117871\pi\)
\(230\) −7249.91 −2.07846
\(231\) −439.970 −0.125316
\(232\) 3390.26 3912.57i 0.959402 1.10721i
\(233\) 703.508 4893.01i 0.197804 1.37576i −0.612834 0.790211i \(-0.709971\pi\)
0.810639 0.585547i \(-0.199120\pi\)
\(234\) −298.677 87.6995i −0.0834407 0.0245004i
\(235\) 5583.45 + 1639.45i 1.54989 + 0.455089i
\(236\) 727.878 5062.50i 0.200766 1.39636i
\(237\) 1635.81 1887.82i 0.448343 0.517415i
\(238\) −2159.45 −0.588137
\(239\) 4980.50 1.34796 0.673978 0.738751i \(-0.264584\pi\)
0.673978 + 0.738751i \(0.264584\pi\)
\(240\) 101.363 116.980i 0.0272624 0.0314625i
\(241\) 1620.52 + 3548.44i 0.433140 + 0.948445i 0.992807 + 0.119727i \(0.0382020\pi\)
−0.559667 + 0.828718i \(0.689071\pi\)
\(242\) 4615.21 + 2966.02i 1.22594 + 0.787862i
\(243\) 159.131 + 183.647i 0.0420093 + 0.0484814i
\(244\) −722.596 464.384i −0.189588 0.121841i
\(245\) −536.092 3728.60i −0.139794 0.972292i
\(246\) −555.421 + 3863.04i −0.143953 + 1.00121i
\(247\) 205.045 + 448.987i 0.0528207 + 0.115661i
\(248\) −669.042 4653.29i −0.171307 1.19147i
\(249\) 3689.69 + 1083.39i 0.939054 + 0.275731i
\(250\) 17396.1 11179.8i 4.40091 2.82829i
\(251\) −162.826 104.642i −0.0409461 0.0263145i 0.520008 0.854162i \(-0.325929\pi\)
−0.560954 + 0.827847i \(0.689565\pi\)
\(252\) 619.931 1357.46i 0.154968 0.339333i
\(253\) 804.535 + 236.233i 0.199924 + 0.0587029i
\(254\) 3584.38 2303.54i 0.885449 0.569044i
\(255\) −1542.71 1780.38i −0.378855 0.437222i
\(256\) 2517.29 + 2905.11i 0.614573 + 0.709256i
\(257\) 249.325 545.946i 0.0605154 0.132510i −0.876958 0.480567i \(-0.840431\pi\)
0.937474 + 0.348056i \(0.113158\pi\)
\(258\) 89.9231 625.429i 0.0216991 0.150921i
\(259\) −1673.54 + 491.395i −0.401501 + 0.117891i
\(260\) −1365.70 + 1576.10i −0.325758 + 0.375944i
\(261\) −2037.96 + 598.398i −0.483319 + 0.141915i
\(262\) −4163.98 9117.84i −0.981876 2.15001i
\(263\) −443.577 + 971.299i −0.104001 + 0.227730i −0.954478 0.298283i \(-0.903586\pi\)
0.850477 + 0.526012i \(0.176313\pi\)
\(264\) 627.216 403.087i 0.146222 0.0939709i
\(265\) −1779.27 12375.1i −0.412452 2.86867i
\(266\) −3688.48 + 1083.04i −0.850209 + 0.249644i
\(267\) −3383.26 −0.775477
\(268\) 3796.16 + 5910.58i 0.865252 + 1.34719i
\(269\) 3409.94 0.772890 0.386445 0.922312i \(-0.373703\pi\)
0.386445 + 0.922312i \(0.373703\pi\)
\(270\) 2537.64 745.120i 0.571986 0.167950i
\(271\) 775.658 + 5394.82i 0.173867 + 1.20927i 0.870619 + 0.491958i \(0.163719\pi\)
−0.696752 + 0.717312i \(0.745372\pi\)
\(272\) −73.9180 + 47.5042i −0.0164777 + 0.0105896i
\(273\) 122.321 267.846i 0.0271180 0.0593802i
\(274\) −4213.23 9225.70i −0.928944 2.03410i
\(275\) −3653.54 + 1072.78i −0.801151 + 0.235239i
\(276\) −1862.47 + 2149.41i −0.406188 + 0.468766i
\(277\) −1993.11 + 585.229i −0.432326 + 0.126942i −0.490653 0.871355i \(-0.663242\pi\)
0.0583270 + 0.998298i \(0.481423\pi\)
\(278\) 527.086 3665.97i 0.113714 0.790900i
\(279\) −801.226 + 1754.44i −0.171929 + 0.376471i
\(280\) −3993.27 4608.48i −0.852298 0.983605i
\(281\) −5365.19 6191.76i −1.13901 1.31448i −0.942586 0.333963i \(-0.891614\pi\)
−0.196420 0.980520i \(-0.562932\pi\)
\(282\) 3119.85 2005.01i 0.658810 0.423391i
\(283\) −5946.43 1746.03i −1.24904 0.366751i −0.410636 0.911799i \(-0.634693\pi\)
−0.838405 + 0.545048i \(0.816511\pi\)
\(284\) −1102.76 + 2414.71i −0.230411 + 0.504530i
\(285\) −3527.96 2267.28i −0.733257 0.471236i
\(286\) 329.640 211.847i 0.0681539 0.0437999i
\(287\) −3542.21 1040.09i −0.728536 0.213918i
\(288\) −238.818 1661.01i −0.0488628 0.339848i
\(289\) −1485.40 3252.58i −0.302341 0.662035i
\(290\) −3289.92 + 22881.9i −0.666176 + 4.63336i
\(291\) −402.243 2797.66i −0.0810305 0.563580i
\(292\) 1538.78 + 988.914i 0.308392 + 0.198191i
\(293\) −3330.47 3843.57i −0.664056 0.766361i 0.319378 0.947627i \(-0.396526\pi\)
−0.983434 + 0.181266i \(0.941981\pi\)
\(294\) −2019.58 1297.91i −0.400627 0.257468i
\(295\) 3561.87 + 7799.41i 0.702983 + 1.53932i
\(296\) 1935.58 2233.77i 0.380078 0.438633i
\(297\) −305.886 −0.0597620
\(298\) 4804.77 0.934004
\(299\) −367.493 + 424.109i −0.0710791 + 0.0820297i
\(300\) 1838.06 12784.0i 0.353735 2.46028i
\(301\) 573.486 + 168.391i 0.109818 + 0.0322454i
\(302\) 6668.12 + 1957.94i 1.27055 + 0.373068i
\(303\) −739.030 + 5140.06i −0.140119 + 0.974551i
\(304\) −102.432 + 118.213i −0.0193252 + 0.0223025i
\(305\) 1439.98 0.270337
\(306\) −1501.35 −0.280478
\(307\) 2004.66 2313.50i 0.372678 0.430093i −0.538170 0.842837i \(-0.680884\pi\)
0.910847 + 0.412744i \(0.135429\pi\)
\(308\) 780.363 + 1708.76i 0.144368 + 0.316122i
\(309\) −2025.19 1301.51i −0.372846 0.239613i
\(310\) 13746.9 + 15864.7i 2.51861 + 2.90664i
\(311\) 2238.80 + 1438.79i 0.408202 + 0.262336i 0.728589 0.684951i \(-0.240176\pi\)
−0.320387 + 0.947287i \(0.603813\pi\)
\(312\) 71.0129 + 493.906i 0.0128856 + 0.0896215i
\(313\) 412.870 2871.57i 0.0745584 0.518565i −0.917979 0.396628i \(-0.870180\pi\)
0.992538 0.121937i \(-0.0389107\pi\)
\(314\) 3059.66 + 6699.72i 0.549893 + 1.20410i
\(315\) 356.040 + 2476.31i 0.0636844 + 0.442935i
\(316\) −10233.3 3004.78i −1.82174 0.534911i
\(317\) 7235.38 4649.90i 1.28195 0.823862i 0.290827 0.956776i \(-0.406070\pi\)
0.991128 + 0.132914i \(0.0424333\pi\)
\(318\) −6702.93 4307.71i −1.18202 0.759637i
\(319\) 1110.68 2432.05i 0.194941 0.426861i
\(320\) −17128.3 5029.31i −2.99219 0.878585i
\(321\) −2438.83 + 1567.34i −0.424058 + 0.272525i
\(322\) −2862.12 3303.06i −0.495340 0.571653i
\(323\) 1558.97 + 1799.15i 0.268555 + 0.309929i
\(324\) 431.003 943.764i 0.0739031 0.161825i
\(325\) 362.676 2522.47i 0.0619004 0.430527i
\(326\) −4826.92 + 1417.31i −0.820056 + 0.240790i
\(327\) 1271.86 1467.80i 0.215088 0.248225i
\(328\) 6002.63 1762.53i 1.01049 0.296706i
\(329\) 1457.30 + 3191.04i 0.244205 + 0.534735i
\(330\) −1383.01 + 3028.36i −0.230703 + 0.505169i
\(331\) −626.356 + 402.535i −0.104011 + 0.0668438i −0.591612 0.806223i \(-0.701508\pi\)
0.487601 + 0.873066i \(0.337872\pi\)
\(332\) −2336.63 16251.6i −0.386263 2.68651i
\(333\) −1163.52 + 341.639i −0.191472 + 0.0562213i
\(334\) 16238.4 2.66026
\(335\) −10710.8 4895.09i −1.74685 0.798350i
\(336\) 93.3121 0.0151506
\(337\) −7155.19 + 2100.95i −1.15658 + 0.339603i −0.803104 0.595839i \(-0.796819\pi\)
−0.353479 + 0.935443i \(0.615001\pi\)
\(338\) −1388.96 9660.43i −0.223519 1.55461i
\(339\) 5903.09 3793.68i 0.945757 0.607801i
\(340\) −4178.39 + 9149.39i −0.666485 + 1.45940i
\(341\) −1008.57 2208.47i −0.160168 0.350720i
\(342\) −2564.39 + 752.973i −0.405457 + 0.119053i
\(343\) 4394.81 5071.88i 0.691829 0.798413i
\(344\) −971.829 + 285.355i −0.152318 + 0.0447247i
\(345\) 678.546 4719.39i 0.105889 0.736473i
\(346\) −3246.95 + 7109.82i −0.504500 + 1.10470i
\(347\) −6259.21 7223.51i −0.968334 1.11752i −0.993035 0.117823i \(-0.962409\pi\)
0.0247003 0.999695i \(-0.492137\pi\)
\(348\) 5938.73 + 6853.66i 0.914797 + 1.05573i
\(349\) −1462.61 + 939.961i −0.224331 + 0.144169i −0.647979 0.761658i \(-0.724386\pi\)
0.423648 + 0.905827i \(0.360749\pi\)
\(350\) 19043.6 + 5591.70i 2.90835 + 0.853969i
\(351\) 85.0430 186.218i 0.0129324 0.0283179i
\(352\) 1777.04 + 1142.03i 0.269081 + 0.172928i
\(353\) 2689.75 1728.60i 0.405555 0.260634i −0.321922 0.946766i \(-0.604329\pi\)
0.727477 + 0.686132i \(0.240693\pi\)
\(354\) 5243.04 + 1539.50i 0.787188 + 0.231139i
\(355\) −633.339 4404.97i −0.0946878 0.658568i
\(356\) 6000.81 + 13139.9i 0.893377 + 1.95622i
\(357\) 202.111 1405.72i 0.0299632 0.208399i
\(358\) −122.998 855.473i −0.0181583 0.126294i
\(359\) 4030.45 + 2590.21i 0.592532 + 0.380797i 0.802271 0.596960i \(-0.203625\pi\)
−0.209739 + 0.977757i \(0.567261\pi\)
\(360\) −2776.29 3204.01i −0.406454 0.469073i
\(361\) −2205.01 1417.07i −0.321477 0.206601i
\(362\) −5365.72 11749.3i −0.779049 1.70588i
\(363\) −2362.71 + 2726.71i −0.341625 + 0.394257i
\(364\) −1257.22 −0.181034
\(365\) −3066.46 −0.439742
\(366\) 600.967 693.553i 0.0858280 0.0990508i
\(367\) 897.579 6242.80i 0.127666 0.887933i −0.820837 0.571163i \(-0.806492\pi\)
0.948502 0.316770i \(-0.102598\pi\)
\(368\) −170.632 50.1020i −0.0241706 0.00709714i
\(369\) −2462.69 723.112i −0.347433 0.102016i
\(370\) −1878.29 + 13063.8i −0.263913 + 1.83556i
\(371\) 4935.68 5696.08i 0.690695 0.797104i
\(372\) 8235.01 1.14776
\(373\) −7147.12 −0.992128 −0.496064 0.868286i \(-0.665222\pi\)
−0.496064 + 0.868286i \(0.665222\pi\)
\(374\) 1237.61 1428.27i 0.171110 0.197471i
\(375\) 5649.42 + 12370.5i 0.777960 + 1.70349i
\(376\) −5001.05 3213.98i −0.685929 0.440820i
\(377\) 1171.80 + 1352.32i 0.160081 + 0.184743i
\(378\) 1341.29 + 861.993i 0.182509 + 0.117291i
\(379\) −1237.46 8606.72i −0.167715 1.16648i −0.883592 0.468258i \(-0.844882\pi\)
0.715877 0.698227i \(-0.246027\pi\)
\(380\) −2548.23 + 17723.3i −0.344004 + 2.39260i
\(381\) 1164.03 + 2548.88i 0.156523 + 0.342738i
\(382\) 2593.07 + 18035.2i 0.347311 + 2.41560i
\(383\) −2865.96 841.522i −0.382360 0.112271i 0.0849036 0.996389i \(-0.472942\pi\)
−0.467263 + 0.884118i \(0.654760\pi\)
\(384\) −5806.17 + 3731.40i −0.771602 + 0.495878i
\(385\) −2649.29 1702.59i −0.350702 0.225382i
\(386\) −9462.44 + 20719.9i −1.24773 + 2.73216i
\(387\) 398.712 + 117.072i 0.0523712 + 0.0153776i
\(388\) −10152.1 + 6524.37i −1.32834 + 0.853672i
\(389\) −4656.79 5374.22i −0.606963 0.700473i 0.366214 0.930531i \(-0.380654\pi\)
−0.973177 + 0.230058i \(0.926108\pi\)
\(390\) −1459.11 1683.90i −0.189448 0.218635i
\(391\) −1124.35 + 2461.99i −0.145424 + 0.318435i
\(392\) −547.661 + 3809.07i −0.0705640 + 0.490783i
\(393\) 6325.06 1857.20i 0.811850 0.238381i
\(394\) 8834.87 10196.0i 1.12968 1.30372i
\(395\) 17155.6 5037.32i 2.18529 0.641659i
\(396\) 542.542 + 1188.00i 0.0688479 + 0.150756i
\(397\) −1299.12 + 2844.69i −0.164235 + 0.359624i −0.973800 0.227406i \(-0.926976\pi\)
0.809565 + 0.587030i \(0.199703\pi\)
\(398\) 11623.6 7470.02i 1.46391 0.940799i
\(399\) −359.793 2502.42i −0.0451433 0.313979i
\(400\) 774.869 227.522i 0.0968586 0.0284403i
\(401\) −8507.96 −1.05952 −0.529760 0.848148i \(-0.677718\pi\)
−0.529760 + 0.848148i \(0.677718\pi\)
\(402\) −6827.78 + 3115.83i −0.847111 + 0.386576i
\(403\) 1624.88 0.200847
\(404\) 21273.8 6246.55i 2.61983 0.769251i
\(405\) 247.534 + 1721.64i 0.0303706 + 0.211232i
\(406\) −11723.8 + 7534.43i −1.43311 + 0.921004i
\(407\) 634.112 1388.51i 0.0772279 0.169106i
\(408\) 999.746 + 2189.14i 0.121311 + 0.265634i
\(409\) 258.122 75.7914i 0.0312061 0.00916294i −0.266092 0.963948i \(-0.585733\pi\)
0.297298 + 0.954785i \(0.403914\pi\)
\(410\) −18293.6 + 21112.0i −2.20356 + 2.54304i
\(411\) 6399.88 1879.17i 0.768084 0.225530i
\(412\) −1462.79 + 10173.9i −0.174918 + 1.21658i
\(413\) −2147.26 + 4701.83i −0.255834 + 0.560199i
\(414\) −1989.87 2296.43i −0.236224 0.272616i
\(415\) 18025.0 + 20802.0i 2.13208 + 2.46055i
\(416\) −1189.31 + 764.320i −0.140169 + 0.0900815i
\(417\) 2337.06 + 686.223i 0.274452 + 0.0805863i
\(418\) 1397.58 3060.28i 0.163536 0.358094i
\(419\) 4957.30 + 3185.86i 0.577995 + 0.371455i 0.796736 0.604328i \(-0.206558\pi\)
−0.218740 + 0.975783i \(0.570195\pi\)
\(420\) 8986.02 5774.96i 1.04398 0.670927i
\(421\) −11325.6 3325.49i −1.31110 0.384975i −0.449830 0.893114i \(-0.648515\pi\)
−0.861275 + 0.508139i \(0.830333\pi\)
\(422\) 1717.22 + 11943.5i 0.198087 + 1.37773i
\(423\) 1013.18 + 2218.55i 0.116459 + 0.255011i
\(424\) −1817.67 + 12642.2i −0.208193 + 1.44802i
\(425\) −1749.20 12165.9i −0.199644 1.38855i
\(426\) −2385.94 1533.35i −0.271359 0.174392i
\(427\) 568.474 + 656.054i 0.0644271 + 0.0743529i
\(428\) 10413.0 + 6692.00i 1.17600 + 0.755771i
\(429\) 107.051 + 234.410i 0.0120477 + 0.0263809i
\(430\) 2961.75 3418.05i 0.332159 0.383332i
\(431\) 3321.25 0.371180 0.185590 0.982627i \(-0.440580\pi\)
0.185590 + 0.982627i \(0.440580\pi\)
\(432\) 64.8745 0.00722518
\(433\) −3300.63 + 3809.13i −0.366323 + 0.422760i −0.908748 0.417345i \(-0.862961\pi\)
0.542425 + 0.840104i \(0.317506\pi\)
\(434\) −1800.99 + 12526.2i −0.199194 + 1.38543i
\(435\) −14587.3 4283.21i −1.60783 0.472101i
\(436\) −7956.50 2336.24i −0.873962 0.256618i
\(437\) −685.698 + 4769.13i −0.0750604 + 0.522056i
\(438\) −1279.77 + 1476.93i −0.139611 + 0.161120i
\(439\) −7340.77 −0.798077 −0.399039 0.916934i \(-0.630656\pi\)
−0.399039 + 0.916934i \(0.630656\pi\)
\(440\) 5336.66 0.578216
\(441\) 1033.90 1193.19i 0.111641 0.128840i
\(442\) 525.427 + 1150.53i 0.0565431 + 0.123812i
\(443\) −7069.60 4543.36i −0.758210 0.487272i 0.103528 0.994627i \(-0.466987\pi\)
−0.861737 + 0.507355i \(0.830623\pi\)
\(444\) 3390.56 + 3912.91i 0.362407 + 0.418240i
\(445\) −20372.4 13092.5i −2.17021 1.39471i
\(446\) −1361.63 9470.36i −0.144563 1.00546i
\(447\) −449.696 + 3127.71i −0.0475837 + 0.330952i
\(448\) −4470.54 9789.11i −0.471458 1.03235i
\(449\) 1578.95 + 10981.8i 0.165958 + 1.15427i 0.887134 + 0.461513i \(0.152693\pi\)
−0.721175 + 0.692753i \(0.756398\pi\)
\(450\) 13239.9 + 3887.59i 1.38697 + 0.407251i
\(451\) 2718.00 1746.75i 0.283782 0.182375i
\(452\) −25204.1 16197.7i −2.62279 1.68556i
\(453\) −1898.63 + 4157.42i −0.196921 + 0.431198i
\(454\) −2178.80 639.754i −0.225234 0.0661347i
\(455\) 1773.07 1139.48i 0.182687 0.117406i
\(456\) 2805.55 + 3237.78i 0.288119 + 0.332507i
\(457\) 3084.36 + 3559.54i 0.315711 + 0.364350i 0.891320 0.453375i \(-0.149780\pi\)
−0.575608 + 0.817725i \(0.695235\pi\)
\(458\) 4425.69 9690.91i 0.451526 0.988704i
\(459\) 140.516 977.313i 0.0142892 0.0993836i
\(460\) −19532.7 + 5735.32i −1.97982 + 0.581327i
\(461\) −7166.25 + 8270.29i −0.724003 + 0.835544i −0.991782 0.127936i \(-0.959165\pi\)
0.267779 + 0.963480i \(0.413710\pi\)
\(462\) −1925.71 + 565.438i −0.193922 + 0.0569406i
\(463\) 2462.27 + 5391.63i 0.247152 + 0.541188i 0.992028 0.126015i \(-0.0402186\pi\)
−0.744876 + 0.667203i \(0.767491\pi\)
\(464\) −235.561 + 515.806i −0.0235682 + 0.0516071i
\(465\) −11613.9 + 7463.81i −1.15824 + 0.744357i
\(466\) −3209.18 22320.3i −0.319018 2.21882i
\(467\) 5415.79 1590.22i 0.536644 0.157573i −0.00217004 0.999998i \(-0.500691\pi\)
0.538814 + 0.842425i \(0.318873\pi\)
\(468\) −874.073 −0.0863334
\(469\) −1998.21 6812.33i −0.196735 0.670713i
\(470\) 26545.2 2.60519
\(471\) −4647.60 + 1364.66i −0.454671 + 0.133504i
\(472\) −1246.58 8670.13i −0.121564 0.845498i
\(473\) −440.046 + 282.800i −0.0427766 + 0.0274908i
\(474\) 4733.59 10365.1i 0.458694 1.00440i
\(475\) −9089.36 19902.9i −0.877997 1.92255i
\(476\) −5818.00 + 1708.32i −0.560226 + 0.164497i
\(477\) 3431.50 3960.16i 0.329387 0.380132i
\(478\) 21799.1 6400.80i 2.08592 0.612481i
\(479\) −2842.02 + 19766.7i −0.271097 + 1.88552i 0.166033 + 0.986120i \(0.446904\pi\)
−0.437129 + 0.899399i \(0.644005\pi\)
\(480\) 4989.74 10926.0i 0.474478 1.03896i
\(481\) 669.005 + 772.073i 0.0634179 + 0.0731882i
\(482\) 11653.2 + 13448.5i 1.10122 + 1.27088i
\(483\) 2418.03 1553.97i 0.227793 0.146394i
\(484\) 14780.7 + 4340.00i 1.38812 + 0.407588i
\(485\) 8404.26 18402.8i 0.786840 1.72294i
\(486\) 932.520 + 599.294i 0.0870369 + 0.0559352i
\(487\) 12880.4 8277.73i 1.19849 0.770225i 0.219799 0.975545i \(-0.429460\pi\)
0.978695 + 0.205320i \(0.0658236\pi\)
\(488\) −1411.47 414.444i −0.130931 0.0384447i
\(489\) −470.842 3274.78i −0.0435423 0.302844i
\(490\) −7138.32 15630.7i −0.658115 1.44107i
\(491\) −2424.44 + 16862.3i −0.222838 + 1.54987i 0.504391 + 0.863475i \(0.331717\pi\)
−0.727229 + 0.686395i \(0.759192\pi\)
\(492\) 1559.59 + 10847.2i 0.142910 + 0.993961i
\(493\) 7260.23 + 4665.87i 0.663255 + 0.426248i
\(494\) 1474.49 + 1701.65i 0.134292 + 0.154982i
\(495\) −1841.90 1183.72i −0.167247 0.107483i
\(496\) 213.906 + 468.389i 0.0193642 + 0.0424017i
\(497\) 1756.88 2027.54i 0.158565 0.182993i
\(498\) 17541.7 1.57844
\(499\) −6176.72 −0.554125 −0.277062 0.960852i \(-0.589361\pi\)
−0.277062 + 0.960852i \(0.589361\pi\)
\(500\) 38024.4 43882.5i 3.40101 3.92497i
\(501\) −1519.81 + 10570.5i −0.135529 + 0.942628i
\(502\) −847.156 248.747i −0.0753195 0.0221158i
\(503\) 18047.2 + 5299.12i 1.59977 + 0.469734i 0.955482 0.295051i \(-0.0953366\pi\)
0.644286 + 0.764785i \(0.277155\pi\)
\(504\) 363.724 2529.76i 0.0321459 0.223580i
\(505\) −24341.1 + 28091.1i −2.14488 + 2.47532i
\(506\) 3824.97 0.336049
\(507\) 6418.53 0.562243
\(508\) 7834.73 9041.76i 0.684272 0.789692i
\(509\) −5513.20 12072.2i −0.480095 1.05126i −0.982437 0.186593i \(-0.940255\pi\)
0.502342 0.864669i \(-0.332472\pi\)
\(510\) −9040.38 5809.90i −0.784930 0.504444i
\(511\) −1210.58 1397.08i −0.104800 0.120945i
\(512\) −731.619 470.183i −0.0631510 0.0405847i
\(513\) −250.143 1739.79i −0.0215285 0.149734i
\(514\) 389.636 2709.98i 0.0334360 0.232552i
\(515\) −7158.15 15674.2i −0.612478 1.34114i
\(516\) −252.499 1756.17i −0.0215419 0.149827i
\(517\) −2945.77 864.955i −0.250589 0.0735796i
\(518\) −6693.39 + 4301.58i −0.567742 + 0.364866i
\(519\) −4324.30 2779.06i −0.365734 0.235043i
\(520\) −1483.71 + 3248.87i −0.125125 + 0.273985i
\(521\) −4110.06 1206.82i −0.345614 0.101482i 0.104318 0.994544i \(-0.466734\pi\)
−0.449933 + 0.893062i \(0.648552\pi\)
\(522\) −8150.89 + 5238.26i −0.683438 + 0.439219i
\(523\) 12463.7 + 14383.9i 1.04206 + 1.20261i 0.978844 + 0.204606i \(0.0655913\pi\)
0.0632194 + 0.998000i \(0.479863\pi\)
\(524\) −18431.6 21271.2i −1.53662 1.77335i
\(525\) −5422.33 + 11873.2i −0.450761 + 0.987030i
\(526\) −693.206 + 4821.35i −0.0574624 + 0.399660i
\(527\) 7519.43 2207.90i 0.621540 0.182501i
\(528\) −53.4782 + 61.7171i −0.00440784 + 0.00508692i
\(529\) 6418.14 1884.54i 0.527504 0.154889i
\(530\) −23691.9 51878.0i −1.94171 4.25176i
\(531\) −1492.86 + 3268.92i −0.122005 + 0.267154i
\(532\) −9080.74 + 5835.84i −0.740037 + 0.475593i
\(533\) 307.729 + 2140.30i 0.0250079 + 0.173934i
\(534\) −14808.2 + 4348.08i −1.20003 + 0.352360i
\(535\) −20750.8 −1.67689
\(536\) 9089.88 + 7880.88i 0.732505 + 0.635079i
\(537\) 568.389 0.0456756
\(538\) 14924.9 4382.36i 1.19602 0.351184i
\(539\) 282.836 + 1967.17i 0.0226022 + 0.157202i
\(540\) 6247.46 4015.00i 0.497867 0.319960i
\(541\) −1791.15 + 3922.07i −0.142343 + 0.311687i −0.967354 0.253429i \(-0.918442\pi\)
0.825011 + 0.565116i \(0.191169\pi\)
\(542\) 10328.3 + 22615.7i 0.818518 + 1.79231i
\(543\) 8150.49 2393.20i 0.644145 0.189138i
\(544\) −4465.15 + 5153.06i −0.351915 + 0.406132i
\(545\) 13338.6 3916.56i 1.04837 0.307829i
\(546\) 191.159 1329.54i 0.0149832 0.104211i
\(547\) 6109.14 13377.2i 0.477528 1.04564i −0.505607 0.862764i \(-0.668732\pi\)
0.983136 0.182878i \(-0.0585412\pi\)
\(548\) −18649.6 21522.8i −1.45378 1.67775i
\(549\) 395.227 + 456.117i 0.0307248 + 0.0354583i
\(550\) −14612.5 + 9390.86i −1.13287 + 0.728050i
\(551\) 14741.0 + 4328.35i 1.13973 + 0.334654i
\(552\) −2023.41 + 4430.65i −0.156018 + 0.341632i
\(553\) 9067.67 + 5827.44i 0.697281 + 0.448115i
\(554\) −7971.51 + 5122.98i −0.611330 + 0.392878i
\(555\) −8328.20 2445.38i −0.636960 0.187028i
\(556\) −1480.03 10293.8i −0.112891 0.785171i
\(557\) 4744.63 + 10389.3i 0.360927 + 0.790320i 0.999780 + 0.0209909i \(0.00668211\pi\)
−0.638853 + 0.769329i \(0.720591\pi\)
\(558\) −1252.12 + 8708.72i −0.0949940 + 0.660698i
\(559\) −49.8216 346.517i −0.00376964 0.0262184i
\(560\) 561.880 + 361.098i 0.0423996 + 0.0272486i
\(561\) 813.915 + 939.308i 0.0612541 + 0.0706909i
\(562\) −31440.4 20205.5i −2.35985 1.51658i
\(563\) 1959.44 + 4290.58i 0.146680 + 0.321183i 0.968684 0.248298i \(-0.0798713\pi\)
−0.822004 + 0.569482i \(0.807144\pi\)
\(564\) 6819.36 7869.96i 0.509126 0.587562i
\(565\) 50226.3 3.73989
\(566\) −28270.9 −2.09949
\(567\) −686.657 + 792.445i −0.0508587 + 0.0586941i
\(568\) −647.008 + 4500.04i −0.0477955 + 0.332425i
\(569\) 23035.4 + 6763.80i 1.69718 + 0.498336i 0.980075 0.198630i \(-0.0636492\pi\)
0.717104 + 0.696967i \(0.245467\pi\)
\(570\) −18355.4 5389.63i −1.34881 0.396047i
\(571\) 1378.36 9586.72i 0.101020 0.702613i −0.874871 0.484356i \(-0.839054\pi\)
0.975891 0.218257i \(-0.0700370\pi\)
\(572\) 720.527 831.532i 0.0526691 0.0607834i
\(573\) −11982.8 −0.873631
\(574\) −16840.6 −1.22459
\(575\) 16290.4 18800.1i 1.18149 1.36351i
\(576\) −3108.11 6805.81i −0.224834 0.492318i
\(577\) −18977.5 12196.1i −1.36923 0.879949i −0.370424 0.928863i \(-0.620788\pi\)
−0.998803 + 0.0489142i \(0.984424\pi\)
\(578\) −10681.6 12327.2i −0.768677 0.887101i
\(579\) −12602.1 8098.90i −0.904537 0.581311i
\(580\) 9237.91 + 64251.1i 0.661351 + 4.59980i
\(581\) −2361.47 + 16424.4i −0.168624 + 1.17280i
\(582\) −5356.06 11728.1i −0.381470 0.835303i
\(583\) 938.724 + 6528.97i 0.0666861 + 0.463812i
\(584\) 3005.75 + 882.566i 0.212977 + 0.0625357i
\(585\) 1232.71 792.217i 0.0871221 0.0559900i
\(586\) −19516.8 12542.7i −1.37582 0.884188i
\(587\) −11800.5 + 25839.6i −0.829745 + 1.81689i −0.368403 + 0.929666i \(0.620095\pi\)
−0.461342 + 0.887223i \(0.652632\pi\)
\(588\) −6467.92 1899.15i −0.453627 0.133197i
\(589\) 11736.3 7542.48i 0.821031 0.527644i
\(590\) 25613.5 + 29559.6i 1.78728 + 2.06263i
\(591\) 5810.27 + 6705.41i 0.404404 + 0.466707i
\(592\) −134.487 + 294.486i −0.00933680 + 0.0204447i
\(593\) −1305.05 + 9076.83i −0.0903744 + 0.628568i 0.893414 + 0.449234i \(0.148303\pi\)
−0.983788 + 0.179333i \(0.942606\pi\)
\(594\) −1338.83 + 393.117i −0.0924797 + 0.0271545i
\(595\) 6656.85 7682.41i 0.458662 0.529324i
\(596\) 12945.0 3801.00i 0.889679 0.261233i
\(597\) 3774.78 + 8265.61i 0.258780 + 0.566648i
\(598\) −1063.43 + 2328.58i −0.0727202 + 0.159235i
\(599\) 4594.69 2952.83i 0.313412 0.201418i −0.374472 0.927238i \(-0.622176\pi\)
0.687884 + 0.725820i \(0.258540\pi\)
\(600\) −3147.90 21894.1i −0.214187 1.48971i
\(601\) 14595.5 4285.63i 0.990621 0.290873i 0.254019 0.967199i \(-0.418247\pi\)
0.736602 + 0.676326i \(0.236429\pi\)
\(602\) 2726.50 0.184591
\(603\) −1389.24 4736.22i −0.0938213 0.319857i
\(604\) 19514.1 1.31460
\(605\) −24778.9 + 7275.74i −1.66513 + 0.488927i
\(606\) 3371.22 + 23447.3i 0.225984 + 1.57175i
\(607\) 14768.6 9491.19i 0.987542 0.634655i 0.0560545 0.998428i \(-0.482148\pi\)
0.931488 + 0.363773i \(0.118512\pi\)
\(608\) −5042.33 + 11041.2i −0.336338 + 0.736478i
\(609\) −3807.33 8336.88i −0.253334 0.554725i
\(610\) 6302.64 1850.62i 0.418339 0.122835i
\(611\) 1345.56 1552.86i 0.0890923 0.102818i
\(612\) −4044.92 + 1187.70i −0.267167 + 0.0784474i
\(613\) 2860.42 19894.6i 0.188469 1.31083i −0.647507 0.762060i \(-0.724188\pi\)
0.835975 0.548767i \(-0.184903\pi\)
\(614\) 5800.95 12702.3i 0.381282 0.834891i
\(615\) −12030.9 13884.4i −0.788831 0.910360i
\(616\) 2106.80 + 2431.38i 0.137801 + 0.159031i
\(617\) −18288.6 + 11753.4i −1.19331 + 0.766894i −0.977786 0.209605i \(-0.932782\pi\)
−0.215524 + 0.976499i \(0.569146\pi\)
\(618\) −10536.7 3093.87i −0.685841 0.201381i
\(619\) −4027.52 + 8819.04i −0.261518 + 0.572645i −0.994153 0.107977i \(-0.965563\pi\)
0.732635 + 0.680621i \(0.238290\pi\)
\(620\) 49587.3 + 31867.8i 3.21205 + 2.06426i
\(621\) 1681.12 1080.39i 0.108633 0.0698140i
\(622\) 11648.1 + 3420.20i 0.750880 + 0.220478i
\(623\) −2077.64 14450.3i −0.133610 0.929278i
\(624\) −22.7042 49.7153i −0.00145656 0.00318943i
\(625\) −7874.12 + 54765.7i −0.503944 + 3.50501i
\(626\) −1883.38 13099.2i −0.120248 0.836341i
\(627\) 1861.31 + 1196.19i 0.118554 + 0.0761903i
\(628\) 13543.4 + 15629.9i 0.860574 + 0.993155i
\(629\) 4145.03 + 2663.85i 0.262756 + 0.168863i
\(630\) 4740.85 + 10381.0i 0.299809 + 0.656491i
\(631\) 9087.14 10487.1i 0.573302 0.661626i −0.392849 0.919603i \(-0.628511\pi\)
0.966151 + 0.257977i \(0.0830560\pi\)
\(632\) −18265.7 −1.14964
\(633\) −7935.46 −0.498272
\(634\) 25692.6 29650.9i 1.60944 1.85739i
\(635\) −2854.39 + 19852.7i −0.178383 + 1.24068i
\(636\) −21466.8 6303.23i −1.33839 0.392986i
\(637\) −1276.21 374.730i −0.0793805 0.0233082i
\(638\) 1735.73 12072.2i 0.107709 0.749130i
\(639\) 1221.45 1409.63i 0.0756182 0.0872680i
\(640\) −49401.7 −3.05121
\(641\) −3050.43 −0.187964 −0.0939820 0.995574i \(-0.529960\pi\)
−0.0939820 + 0.995574i \(0.529960\pi\)
\(642\) −8660.23 + 9994.43i −0.532386 + 0.614406i
\(643\) 1551.36 + 3397.00i 0.0951472 + 0.208343i 0.951221 0.308510i \(-0.0998304\pi\)
−0.856074 + 0.516854i \(0.827103\pi\)
\(644\) −10324.1 6634.91i −0.631720 0.405982i
\(645\) 1947.80 + 2247.89i 0.118907 + 0.137225i
\(646\) 9135.67 + 5871.14i 0.556405 + 0.357580i
\(647\) −2298.20 15984.3i −0.139647 0.971266i −0.932324 0.361624i \(-0.882222\pi\)
0.792677 0.609642i \(-0.208687\pi\)
\(648\) 252.877 1758.79i 0.0153301 0.106623i
\(649\) −1879.20 4114.88i −0.113660 0.248880i
\(650\) −1654.41 11506.7i −0.0998329 0.694353i
\(651\) −7985.45 2344.74i −0.480759 0.141164i
\(652\) −11883.5 + 7637.04i −0.713792 + 0.458726i
\(653\) 275.345 + 176.953i 0.0165009 + 0.0106045i 0.548865 0.835911i \(-0.315060\pi\)
−0.532364 + 0.846515i \(0.678696\pi\)
\(654\) 3680.41 8058.97i 0.220054 0.481851i
\(655\) 45273.5 + 13293.5i 2.70073 + 0.793007i
\(656\) −576.453 + 370.464i −0.0343090 + 0.0220490i
\(657\) −841.644 971.309i −0.0499782 0.0576779i
\(658\) 10479.5 + 12094.0i 0.620871 + 0.716524i
\(659\) 2709.16 5932.24i 0.160143 0.350664i −0.812503 0.582957i \(-0.801896\pi\)
0.972646 + 0.232293i \(0.0746229\pi\)
\(660\) −1330.39 + 9253.10i −0.0784629 + 0.545722i
\(661\) −15690.3 + 4607.08i −0.923269 + 0.271096i −0.708616 0.705594i \(-0.750680\pi\)
−0.214653 + 0.976690i \(0.568862\pi\)
\(662\) −2224.17 + 2566.83i −0.130581 + 0.150699i
\(663\) −798.121 + 234.349i −0.0467518 + 0.0137276i
\(664\) −11681.1 25577.9i −0.682700 1.49490i
\(665\) 7517.33 16460.7i 0.438360 0.959875i
\(666\) −4653.53 + 2990.64i −0.270752 + 0.174001i
\(667\) 2485.81 + 17289.2i 0.144304 + 1.00366i
\(668\) 43749.5 12846.0i 2.53401 0.744053i
\(669\) 6292.25 0.363636
\(670\) −53171.2 7660.06i −3.06595 0.441692i
\(671\) −759.716 −0.0437087
\(672\) 6947.73 2040.04i 0.398831 0.117107i
\(673\) 1846.38 + 12841.8i 0.105754 + 0.735537i 0.971840 + 0.235642i \(0.0757192\pi\)
−0.866086 + 0.499896i \(0.833372\pi\)
\(674\) −28617.5 + 18391.3i −1.63547 + 1.05105i
\(675\) −3769.83 + 8254.78i −0.214964 + 0.470706i
\(676\) −11384.4 24928.3i −0.647723 1.41832i
\(677\) −28501.4 + 8368.77i −1.61802 + 0.475093i −0.960485 0.278333i \(-0.910218\pi\)
−0.657533 + 0.753426i \(0.728400\pi\)
\(678\) 20961.7 24191.1i 1.18736 1.37028i
\(679\) 11702.1 3436.05i 0.661394 0.194203i
\(680\) −2451.53 + 17050.8i −0.138253 + 0.961568i
\(681\) 620.376 1358.43i 0.0349087 0.0764394i
\(682\) −7252.70 8370.06i −0.407214 0.469950i
\(683\) −18333.5 21158.0i −1.02711 1.18534i −0.982486 0.186338i \(-0.940338\pi\)
−0.0446194 0.999004i \(-0.514208\pi\)
\(684\) −6313.32 + 4057.32i −0.352918 + 0.226806i
\(685\) 45809.0 + 13450.7i 2.55514 + 0.750257i
\(686\) 12717.4 27847.2i 0.707802 1.54987i
\(687\) 5894.16 + 3787.95i 0.327331 + 0.210363i
\(688\) 93.3281 59.9783i 0.00517166 0.00332362i
\(689\) −4235.71 1243.72i −0.234206 0.0687690i
\(690\) −3095.31 21528.3i −0.170777 1.18778i
\(691\) −2344.86 5134.52i −0.129092 0.282672i 0.834039 0.551706i \(-0.186023\pi\)
−0.963131 + 0.269034i \(0.913296\pi\)
\(692\) −3123.43 + 21723.9i −0.171582 + 1.19338i
\(693\) −187.843 1306.48i −0.0102966 0.0716146i
\(694\) −36679.4 23572.4i −2.00624 1.28933i
\(695\) 11417.1 + 13176.0i 0.623130 + 0.719131i
\(696\) 13065.7 + 8396.80i 0.711571 + 0.457299i
\(697\) 4332.33 + 9486.48i 0.235436 + 0.515532i
\(698\) −5193.67 + 5993.82i −0.281638 + 0.325028i
\(699\) 14830.0 0.802462
\(700\) 55730.8 3.00918
\(701\) 8763.53 10113.7i 0.472174 0.544918i −0.468841 0.883283i \(-0.655328\pi\)
0.941015 + 0.338365i \(0.109874\pi\)
\(702\) 132.902 924.353i 0.00714539 0.0496972i
\(703\) 8415.99 + 2471.16i 0.451515 + 0.132577i
\(704\) 9036.68 + 2653.41i 0.483782 + 0.142051i
\(705\) −2484.46 + 17279.8i −0.132724 + 0.923114i
\(706\) 9551.22 11022.7i 0.509157 0.587598i
\(707\) −22407.7 −1.19198
\(708\) 15343.7 0.814479
\(709\) 16897.4 19500.6i 0.895057 1.03295i −0.104206 0.994556i \(-0.533230\pi\)
0.999263 0.0383949i \(-0.0122245\pi\)
\(710\) −8433.22 18466.2i −0.445765 0.976089i
\(711\) 6304.23 + 4051.48i 0.332527 + 0.213702i
\(712\) 16200.8 + 18696.7i 0.852741 + 0.984115i
\(713\) 13343.3 + 8575.24i 0.700858 + 0.450414i
\(714\) −921.967 6412.42i −0.0483246 0.336105i
\(715\) −262.506 + 1825.77i −0.0137303 + 0.0954963i
\(716\) −1008.14 2207.51i −0.0526199 0.115221i
\(717\) 2126.40 + 14789.4i 0.110756 + 0.770322i
\(718\) 20969.8 + 6157.27i 1.08995 + 0.320038i
\(719\) −2357.40 + 1515.01i −0.122276 + 0.0785818i −0.600349 0.799738i \(-0.704972\pi\)
0.478073 + 0.878320i \(0.341335\pi\)
\(720\) 390.643 + 251.051i 0.0202200 + 0.0129946i
\(721\) 4315.26 9449.10i 0.222897 0.488076i
\(722\) −11472.3 3368.57i −0.591350 0.173636i
\(723\) −9845.10 + 6327.06i −0.506422 + 0.325458i
\(724\) −23751.0 27410.1i −1.21920 1.40703i
\(725\) −51944.0 59946.6i −2.66090 3.07084i
\(726\) −6837.04 + 14971.0i −0.349513 + 0.765326i
\(727\) 2647.27 18412.2i 0.135051 0.939299i −0.803782 0.594924i \(-0.797182\pi\)
0.938832 0.344374i \(-0.111909\pi\)
\(728\) −2065.92 + 606.609i −0.105176 + 0.0308825i
\(729\) −477.393 + 550.941i −0.0242541 + 0.0279907i
\(730\) −13421.6 + 3940.93i −0.680487 + 0.199809i
\(731\) −701.407 1535.87i −0.0354890 0.0777101i
\(732\) 1070.46 2343.99i 0.0540512 0.118356i
\(733\) 14648.9 9414.28i 0.738157 0.474385i −0.116753 0.993161i \(-0.537248\pi\)
0.854910 + 0.518776i \(0.173612\pi\)
\(734\) −4094.47 28477.7i −0.205899 1.43206i
\(735\) 10843.1 3183.81i 0.544153 0.159778i
\(736\) −13800.1 −0.691138
\(737\) 5650.91 + 2582.59i 0.282434 + 0.129079i
\(738\) −11708.3 −0.583995
\(739\) −10449.3 + 3068.19i −0.520141 + 0.152727i −0.531256 0.847211i \(-0.678280\pi\)
0.0111155 + 0.999938i \(0.496462\pi\)
\(740\) 5274.14 + 36682.4i 0.262001 + 1.82226i
\(741\) −1245.71 + 800.567i −0.0617573 + 0.0396890i
\(742\) 14282.5 31274.4i 0.706642 1.54733i
\(743\) 574.439 + 1257.85i 0.0283635 + 0.0621075i 0.923284 0.384119i \(-0.125495\pi\)
−0.894920 + 0.446227i \(0.852768\pi\)
\(744\) 13532.1 3973.39i 0.666818 0.195795i
\(745\) −14811.4 + 17093.3i −0.728388 + 0.840605i
\(746\) −31282.2 + 9185.29i −1.53529 + 0.450801i
\(747\) −1641.80 + 11418.9i −0.0804153 + 0.559300i
\(748\) 2204.47 4827.11i 0.107759 0.235958i
\(749\) −8191.99 9454.06i −0.399638 0.461207i
\(750\) 40625.2 + 46884.0i 1.97790 + 2.28261i
\(751\) −28104.0 + 18061.3i −1.36555 + 0.877587i −0.998613 0.0526578i \(-0.983231\pi\)
−0.366939 + 0.930245i \(0.619594\pi\)
\(752\) 624.759 + 183.446i 0.0302961 + 0.00889572i
\(753\) 241.213 528.182i 0.0116737 0.0255618i
\(754\) 6866.81 + 4413.03i 0.331664 + 0.213147i
\(755\) −27521.0 + 17686.7i −1.32661 + 0.852561i
\(756\) 4295.61 + 1261.30i 0.206653 + 0.0606788i
\(757\) −1072.91 7462.25i −0.0515133 0.358283i −0.999232 0.0391767i \(-0.987526\pi\)
0.947719 0.319106i \(-0.103383\pi\)
\(758\) −16477.4 36080.4i −0.789558 1.72889i
\(759\) −357.993 + 2489.90i −0.0171203 + 0.119074i
\(760\) 4364.14 + 30353.3i 0.208295 + 1.44872i
\(761\) 5619.71 + 3611.57i 0.267693 + 0.172036i 0.667601 0.744520i \(-0.267321\pi\)
−0.399908 + 0.916555i \(0.630958\pi\)
\(762\) 8370.62 + 9660.21i 0.397947 + 0.459255i
\(763\) 7050.18 + 4530.88i 0.334513 + 0.214979i
\(764\) 21253.7 + 46539.0i 1.00645 + 2.20383i
\(765\) 4628.12 5341.14i 0.218732 0.252430i
\(766\) −13625.5 −0.642702
\(767\) 3027.53 0.142526
\(768\) −7551.88 + 8715.33i −0.354824 + 0.409489i
\(769\) 505.511 3515.91i 0.0237051 0.164872i −0.974530 0.224257i \(-0.928005\pi\)
0.998235 + 0.0593842i \(0.0189137\pi\)
\(770\) −13783.8 4047.29i −0.645108 0.189421i
\(771\) 1727.61 + 507.273i 0.0806984 + 0.0236952i
\(772\) −9102.47 + 63309.1i −0.424359 + 2.95148i
\(773\) −24925.4 + 28765.4i −1.15977 + 1.33845i −0.228748 + 0.973486i \(0.573463\pi\)
−0.931023 + 0.364961i \(0.881082\pi\)
\(774\) 1895.58 0.0880300
\(775\) −72028.8 −3.33852
\(776\) −13534.4 + 15619.5i −0.626104 + 0.722562i
\(777\) −2173.69 4759.72i −0.100361 0.219760i
\(778\) −27289.1 17537.7i −1.25753 0.808169i
\(779\) 12157.7 + 14030.7i 0.559170 + 0.645317i
\(780\) −5263.25 3382.48i −0.241608 0.155272i
\(781\) 334.143 + 2324.01i 0.0153093 + 0.106479i
\(782\) −1757.10 + 12220.9i −0.0803499 + 0.558846i
\(783\) −2647.02 5796.16i −0.120813 0.264544i
\(784\) −59.9859 417.211i −0.00273259 0.0190056i
\(785\) −33266.6 9767.95i −1.51253 0.444118i
\(786\) 25297.3 16257.6i 1.14800 0.737773i
\(787\) 5227.46 + 3359.49i 0.236771 + 0.152164i 0.653646 0.756800i \(-0.273238\pi\)
−0.416875 + 0.908964i \(0.636875\pi\)
\(788\) 15737.0 34459.2i 0.711430 1.55781i
\(789\) −3073.62 902.497i −0.138687 0.0407221i
\(790\) 68614.3 44095.7i 3.09011 1.98589i
\(791\) 19828.3 + 22883.1i 0.891295 + 1.02861i
\(792\) 1464.74 + 1690.40i 0.0657162 + 0.0758406i
\(793\) 211.218 462.502i 0.00945846 0.0207111i
\(794\) −2030.22 + 14120.5i −0.0907430 + 0.631131i
\(795\) 35987.8 10567.0i 1.60548 0.471411i
\(796\) 25406.8 29321.0i 1.13131 1.30560i
\(797\) 20427.8 5998.15i 0.907892 0.266581i 0.205739 0.978607i \(-0.434040\pi\)
0.702153 + 0.712026i \(0.252222\pi\)
\(798\) −4790.82 10490.4i −0.212523 0.465360i
\(799\) 4116.76 9014.46i 0.182279 0.399135i
\(800\) 52720.2 33881.2i 2.32993 1.49735i
\(801\) −1444.47 10046.5i −0.0637175 0.443165i
\(802\) −37238.5 + 10934.2i −1.63957 + 0.481422i
\(803\) 1617.83 0.0710984
\(804\) −15930.5 + 13796.1i −0.698788 + 0.605161i
\(805\) 20573.8 0.900782
\(806\) 7111.96 2088.26i 0.310804 0.0912603i
\(807\) 1455.85 + 10125.7i 0.0635049 + 0.441686i
\(808\) 31944.1 20529.2i 1.39083 0.893831i
\(809\) −343.068 + 751.213i −0.0149093 + 0.0326468i −0.916940 0.399025i \(-0.869349\pi\)
0.902031 + 0.431672i \(0.142076\pi\)
\(810\) 3296.04 + 7217.32i 0.142977 + 0.313075i
\(811\) 23863.6 7007.00i 1.03325 0.303390i 0.279218 0.960228i \(-0.409925\pi\)
0.754032 + 0.656838i \(0.228106\pi\)
\(812\) −25625.9 + 29573.8i −1.10750 + 1.27813i
\(813\) −15688.6 + 4606.58i −0.676780 + 0.198721i
\(814\) 990.966 6892.32i 0.0426700 0.296776i
\(815\) 9837.53 21541.2i 0.422814 0.925834i
\(816\) −172.621 199.215i −0.00740557 0.00854648i
\(817\) −1968.34 2271.58i −0.0842881 0.0972736i
\(818\) 1032.37 663.463i 0.0441270 0.0283587i
\(819\) 847.584 + 248.873i 0.0361624 + 0.0106182i
\(820\) −32585.3 + 71351.8i −1.38772 + 3.03868i
\(821\) 10054.8 + 6461.83i 0.427424 + 0.274689i 0.736616 0.676311i \(-0.236422\pi\)
−0.309192 + 0.950999i \(0.600059\pi\)
\(822\) 25596.6 16449.9i 1.08611 0.698001i
\(823\) 12268.5 + 3602.35i 0.519625 + 0.152576i 0.531020 0.847359i \(-0.321809\pi\)
−0.0113946 + 0.999935i \(0.503627\pi\)
\(824\) 2505.20 + 17424.0i 0.105913 + 0.736644i
\(825\) −4745.43 10391.0i −0.200260 0.438508i
\(826\) −3355.65 + 23339.1i −0.141354 + 0.983135i
\(827\) 5250.64 + 36519.0i 0.220777 + 1.53554i 0.735111 + 0.677947i \(0.237130\pi\)
−0.514334 + 0.857590i \(0.671961\pi\)
\(828\) −7177.77 4612.87i −0.301262 0.193609i
\(829\) −18806.2 21703.5i −0.787897 0.909281i 0.209756 0.977754i \(-0.432733\pi\)
−0.997653 + 0.0684725i \(0.978187\pi\)
\(830\) 105628. + 67882.9i 4.41735 + 2.83886i
\(831\) −2588.76 5668.60i −0.108066 0.236632i
\(832\) −4127.75 + 4763.67i −0.172000 + 0.198498i
\(833\) −6415.08 −0.266830
\(834\) 11111.0 0.461322
\(835\) −50057.4 + 57769.3i −2.07462 + 2.39424i
\(836\) 1344.42 9350.63i 0.0556192 0.386840i
\(837\) −5551.82 1630.16i −0.229270 0.0673198i
\(838\) 25792.0 + 7573.21i 1.06321 + 0.312187i
\(839\) 4958.43 34486.7i 0.204033 1.41908i −0.588126 0.808770i \(-0.700134\pi\)
0.792159 0.610315i \(-0.208957\pi\)
\(840\) 11979.8 13825.4i 0.492075 0.567884i
\(841\) 31306.6 1.28364
\(842\) −53844.8 −2.20382
\(843\) 16095.6 18575.3i 0.657605 0.758917i
\(844\) 14074.9 + 30819.8i 0.574027 + 1.25694i
\(845\) 38649.3 + 24838.4i 1.57346 + 1.01120i
\(846\) 7285.79 + 8408.26i 0.296088 + 0.341704i
\(847\) −13097.0 8416.95i −0.531309 0.341452i
\(848\) −199.091 1384.71i −0.00806230 0.0560745i
\(849\) 2645.98 18403.2i 0.106961 0.743928i
\(850\) −23291.4 51001.1i −0.939870 2.05803i
\(851\) 1419.21 + 9870.80i 0.0571678 + 0.397610i
\(852\) −7641.20 2243.66i −0.307257 0.0902189i
\(853\) −7937.83 + 5101.33i −0.318624 + 0.204767i −0.690170 0.723648i \(-0.742464\pi\)
0.371546 + 0.928415i \(0.378828\pi\)
\(854\) 3331.30 + 2140.90i 0.133483 + 0.0857845i
\(855\) 5226.37 11444.2i 0.209050 0.457757i
\(856\) 20339.9 + 5972.34i 0.812154 + 0.238470i
\(857\) 12428.7 7987.43i 0.495398 0.318373i −0.268975 0.963147i \(-0.586685\pi\)
0.764373 + 0.644774i \(0.223049\pi\)
\(858\) 769.810 + 888.408i 0.0306304 + 0.0353493i
\(859\) −1330.52 1535.50i −0.0528483 0.0609901i 0.728710 0.684822i \(-0.240120\pi\)
−0.781558 + 0.623832i \(0.785575\pi\)
\(860\) 5275.58 11551.9i 0.209181 0.458043i
\(861\) 1576.17 10962.5i 0.0623877 0.433916i
\(862\) 14536.8 4268.38i 0.574390 0.168656i
\(863\) −18565.0 + 21425.1i −0.732282 + 0.845098i −0.992727 0.120391i \(-0.961585\pi\)
0.260445 + 0.965489i \(0.416131\pi\)
\(864\) 4830.36 1418.32i 0.190199 0.0558476i
\(865\) −15284.5 33468.3i −0.600795 1.31556i
\(866\) −9551.12 + 20914.0i −0.374781 + 0.820656i
\(867\) 9024.23 5799.52i 0.353494 0.227177i
\(868\) 5057.07 + 35172.7i 0.197751 + 1.37539i
\(869\) −9051.07 + 2657.64i −0.353322 + 0.103745i
\(870\) −69351.7 −2.70258
\(871\) −3143.31 + 2722.16i −0.122281 + 0.105898i
\(872\) −14201.7 −0.551526
\(873\) 8135.82 2388.89i 0.315413 0.0926136i
\(874\) 3127.93 + 21755.3i 0.121057 + 0.841971i
\(875\) −49366.6 + 31726.0i −1.90731 + 1.22575i
\(876\) −2279.57 + 4991.57i −0.0879219 + 0.192522i
\(877\) −9475.82 20749.2i −0.364853 0.798916i −0.999656 0.0262419i \(-0.991646\pi\)
0.634803 0.772674i \(-0.281081\pi\)
\(878\) −32129.8 + 9434.17i −1.23500 + 0.362628i
\(879\) 9991.42 11530.7i 0.383393 0.442459i
\(880\) −560.852 + 164.681i −0.0214845 + 0.00630840i
\(881\) 5250.59 36518.7i 0.200791 1.39653i −0.601153 0.799134i \(-0.705292\pi\)
0.801944 0.597399i \(-0.203799\pi\)
\(882\) 2991.84 6551.21i 0.114218 0.250103i
\(883\) 1399.50 + 1615.11i 0.0533373 + 0.0615546i 0.781791 0.623540i \(-0.214306\pi\)
−0.728454 + 0.685095i \(0.759761\pi\)
\(884\) 2325.77 + 2684.09i 0.0884889 + 0.102122i
\(885\) −21639.3 + 13906.8i −0.821919 + 0.528215i
\(886\) −36781.9 10800.2i −1.39471 0.409524i
\(887\) −7661.00 + 16775.2i −0.290001 + 0.635014i −0.997420 0.0717801i \(-0.977132\pi\)
0.707419 + 0.706794i \(0.249859\pi\)
\(888\) 7459.50 + 4793.93i 0.281897 + 0.181164i
\(889\) −10171.7 + 6536.98i −0.383745 + 0.246618i
\(890\) −105994. 31122.7i −3.99206 1.17217i
\(891\) −130.596 908.317i −0.00491037 0.0341524i
\(892\) −11160.4 24437.9i −0.418921 0.917310i
\(893\) 2510.65 17461.9i 0.0940825 0.654358i
\(894\) 2051.37 + 14267.6i 0.0767429 + 0.533758i
\(895\) 3422.56 + 2199.55i 0.127825 + 0.0821484i
\(896\) −19502.8 22507.4i −0.727168 0.839197i
\(897\) −1416.28 910.185i −0.0527180 0.0338798i
\(898\) 21024.5 + 46037.2i 0.781288 + 1.71078i
\(899\) 33119.9 38222.5i 1.22871 1.41801i
\(900\) 38746.4 1.43505
\(901\) −21291.4 −0.787259
\(902\) 9651.52 11138.5i 0.356276 0.411164i
\(903\) −255.183 + 1774.84i −0.00940418 + 0.0654075i
\(904\) −49231.9 14455.8i −1.81131 0.531850i
\(905\) 58339.5 + 17130.0i 2.14284 + 0.629195i
\(906\) −2967.11 + 20636.7i −0.108803 + 0.756741i
\(907\) 4207.65 4855.89i 0.154038 0.177770i −0.673485 0.739201i \(-0.735204\pi\)
0.827524 + 0.561431i \(0.189749\pi\)
\(908\) −6376.23 −0.233043
\(909\) −15578.8 −0.568443
\(910\) 6296.12 7266.10i 0.229356 0.264691i
\(911\) 19193.6 + 42028.1i 0.698037 + 1.52849i 0.842336 + 0.538953i \(0.181180\pi\)
−0.144299 + 0.989534i \(0.546093\pi\)
\(912\) −394.761 253.697i −0.0143331 0.00921136i
\(913\) −9509.80 10974.9i −0.344719 0.397827i
\(914\) 18074.5 + 11615.8i 0.654106 + 0.420368i
\(915\) 614.791 + 4275.96i 0.0222124 + 0.154491i
\(916\) 4257.33 29610.4i 0.153566 1.06807i
\(917\) 11816.5 + 25874.6i 0.425536 + 0.931793i
\(918\) −640.991 4458.19i −0.0230456 0.160286i
\(919\) 6352.31 + 1865.21i 0.228012 + 0.0669504i 0.393743 0.919221i \(-0.371180\pi\)
−0.165731 + 0.986171i \(0.552998\pi\)
\(920\) −29329.7 + 18849.1i −1.05106 + 0.675473i
\(921\) 7725.74 + 4965.03i 0.276408 + 0.177637i
\(922\) −20737.2 + 45408.1i −0.740719 + 1.62195i
\(923\) −1507.72 442.706i −0.0537672 0.0157875i
\(924\) −4740.92 + 3046.81i −0.168793 + 0.108477i
\(925\) −29656.0 34224.9i −1.05415 1.21655i
\(926\) 17706.3 + 20434.2i 0.628364 + 0.725171i
\(927\) 3000.15 6569.42i 0.106298 0.232759i
\(928\) −6262.31 + 43555.4i −0.221520 + 1.54071i
\(929\) −10661.6 + 3130.53i −0.376530 + 0.110559i −0.464521 0.885562i \(-0.653773\pi\)
0.0879912 + 0.996121i \(0.471955\pi\)
\(930\) −41240.6 + 47594.2i −1.45412 + 1.67815i
\(931\) −10957.4 + 3217.37i −0.385728 + 0.113260i
\(932\) −26303.5 57596.7i −0.924465 2.02430i
\(933\) −3316.60 + 7262.33i −0.116378 + 0.254832i
\(934\) 21660.7 13920.5i 0.758842 0.487678i
\(935\) 1266.07 + 8805.74i 0.0442835 + 0.307999i
\(936\) −1436.32 + 421.741i −0.0501575 + 0.0147276i
\(937\) −6667.67 −0.232469 −0.116234 0.993222i \(-0.537082\pi\)
−0.116234 + 0.993222i \(0.537082\pi\)
\(938\) −17501.0 27248.8i −0.609198 0.948514i
\(939\) 8703.31 0.302473
\(940\) 71518.0 20999.6i 2.48155 0.728650i
\(941\) 815.393 + 5671.18i 0.0282477 + 0.196467i 0.999059 0.0433789i \(-0.0138123\pi\)
−0.970811 + 0.239846i \(0.922903\pi\)
\(942\) −18588.3 + 11946.0i −0.642928 + 0.413185i
\(943\) −8768.31 + 19199.9i −0.302795 + 0.663028i
\(944\) 398.555 + 872.713i 0.0137414 + 0.0300894i
\(945\) −7201.32 + 2114.50i −0.247893 + 0.0727879i
\(946\) −1562.59 + 1803.32i −0.0537041 + 0.0619779i
\(947\) 50522.7 14834.8i 1.73365 0.509046i 0.746031 0.665911i \(-0.231957\pi\)
0.987620 + 0.156866i \(0.0501390\pi\)
\(948\) 4553.52 31670.4i 0.156003 1.08503i
\(949\) −449.792 + 984.907i −0.0153855 + 0.0336896i
\(950\) −65362.0 75431.7i −2.23223 2.57614i
\(951\) 16896.8 + 19500.0i 0.576148 + 0.664910i
\(952\) −8736.14 + 5614.37i −0.297416 + 0.191138i
\(953\) 940.734 + 276.224i 0.0319762 + 0.00938907i 0.297682 0.954665i \(-0.403787\pi\)
−0.265705 + 0.964054i \(0.585605\pi\)
\(954\) 9929.82 21743.3i 0.336991 0.737908i
\(955\) −72154.9 46371.1i −2.44490 1.57124i
\(956\) 53667.6 34490.1i 1.81562 1.16683i
\(957\) 7696.08 + 2259.77i 0.259957 + 0.0763303i
\(958\) 12964.4 + 90169.4i 0.437224 + 3.04096i
\(959\) 11956.3 + 26180.6i 0.402595 + 0.881561i
\(960\) 7621.55 53009.0i 0.256234 1.78214i
\(961\) −2296.27 15970.9i −0.0770794 0.536099i
\(962\) 3920.42 + 2519.50i 0.131392 + 0.0844407i
\(963\) −5695.42 6572.86i −0.190584 0.219946i
\(964\) 42035.1 + 27014.3i 1.40442 + 0.902564i
\(965\) −44542.9 97535.4i −1.48589 3.25365i
\(966\) 8586.35 9909.17i 0.285985 0.330044i
\(967\) −38688.8 −1.28661 −0.643303 0.765612i \(-0.722436\pi\)
−0.643303 + 0.765612i \(0.722436\pi\)
\(968\) 26382.3 0.875992
\(969\) −4676.91 + 5397.44i −0.155050 + 0.178938i
\(970\) 13133.9 91347.9i 0.434745 3.02372i
\(971\) 36528.9 + 10725.8i 1.20728 + 0.354489i 0.822632 0.568575i \(-0.192505\pi\)
0.384647 + 0.923064i \(0.374323\pi\)
\(972\) 2986.49 + 876.912i 0.0985511 + 0.0289372i
\(973\) −1495.76 + 10403.3i −0.0492826 + 0.342768i
\(974\) 45737.9 52784.3i 1.50466 1.73647i
\(975\) 7645.22 0.251121
\(976\) 161.126 0.00528435
\(977\) 18165.9 20964.6i 0.594861 0.686506i −0.375871 0.926672i \(-0.622656\pi\)
0.970732 + 0.240166i \(0.0772019\pi\)
\(978\) −6269.48 13728.3i −0.204986 0.448856i
\(979\) 10748.2 + 6907.48i 0.350884 + 0.225499i
\(980\) −31597.4 36465.3i −1.02994 1.18861i
\(981\) 4901.59 + 3150.06i 0.159527 + 0.102522i
\(982\) 11059.5 + 76920.6i 0.359392 + 2.49963i
\(983\) 2173.94 15120.1i 0.0705370 0.490596i −0.923676 0.383173i \(-0.874831\pi\)
0.994213 0.107422i \(-0.0342597\pi\)
\(984\) 7796.56 + 17072.1i 0.252587 + 0.553087i
\(985\) 9038.09 + 62861.3i 0.292363 + 2.03343i
\(986\) 37773.8 + 11091.4i 1.22004 + 0.358237i
\(987\) −8853.50 + 5689.80i −0.285522 + 0.183494i
\(988\) 5318.72 + 3418.14i 0.171266 + 0.110066i
\(989\) 1419.59 3108.48i 0.0456426 0.0999433i
\(990\) −9583.08 2813.85i −0.307647 0.0903333i
\(991\) 6011.95 3863.65i 0.192710 0.123847i −0.440728 0.897641i \(-0.645280\pi\)
0.633438 + 0.773793i \(0.281643\pi\)
\(992\) 26167.0 + 30198.3i 0.837502 + 0.966528i
\(993\) −1462.73 1688.08i −0.0467456 0.0539473i
\(994\) 5083.92 11132.2i 0.162226 0.355225i
\(995\) −9256.32 + 64379.1i −0.294920 + 2.05121i
\(996\) 47261.0 13877.1i 1.50354 0.441478i
\(997\) 33806.2 39014.5i 1.07388 1.23932i 0.104295 0.994546i \(-0.466741\pi\)
0.969581 0.244772i \(-0.0787133\pi\)
\(998\) −27034.9 + 7938.17i −0.857490 + 0.251782i
\(999\) −1511.24 3309.16i −0.0478614 0.104802i
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 201.4.i.b.22.16 170
67.64 even 11 inner 201.4.i.b.64.16 yes 170
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
201.4.i.b.22.16 170 1.1 even 1 trivial
201.4.i.b.64.16 yes 170 67.64 even 11 inner