Properties

Label 201.4.i.b.22.17
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 22.17
Character \(\chi\) \(=\) 201.22
Dual form 201.4.i.b.64.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(5.17153 - 1.51850i) q^{2} +(0.426945 + 2.96946i) q^{3} +(17.7089 - 11.3808i) q^{4} +(0.676102 - 1.48046i) q^{5} +(6.71709 + 14.7084i) q^{6} +(12.3215 - 3.61792i) q^{7} +(46.0635 - 53.1601i) q^{8} +(-8.63544 + 2.53559i) q^{9} +O(q^{10})\) \(q+(5.17153 - 1.51850i) q^{2} +(0.426945 + 2.96946i) q^{3} +(17.7089 - 11.3808i) q^{4} +(0.676102 - 1.48046i) q^{5} +(6.71709 + 14.7084i) q^{6} +(12.3215 - 3.61792i) q^{7} +(46.0635 - 53.1601i) q^{8} +(-8.63544 + 2.53559i) q^{9} +(1.24841 - 8.68289i) q^{10} +(-13.5587 + 29.6895i) q^{11} +(41.3556 + 47.7270i) q^{12} +(6.93630 + 8.00491i) q^{13} +(58.2273 - 37.4204i) q^{14} +(4.68482 + 1.37559i) q^{15} +(87.5375 - 191.680i) q^{16} +(-56.0121 - 35.9968i) q^{17} +(-40.8082 + 26.2258i) q^{18} +(-16.5873 - 4.87048i) q^{19} +(-4.87579 - 33.9118i) q^{20} +(16.0039 + 35.0436i) q^{21} +(-25.0360 + 174.129i) q^{22} +(-8.66930 - 60.2963i) q^{23} +(177.524 + 114.088i) q^{24} +(80.1230 + 92.4668i) q^{25} +(48.0267 + 30.8649i) q^{26} +(-11.2162 - 24.5601i) q^{27} +(177.026 - 204.298i) q^{28} +58.2611 q^{29} +26.3165 q^{30} +(-109.873 + 126.800i) q^{31} +(81.5522 - 567.208i) q^{32} +(-93.9507 - 27.5864i) q^{33} +(-344.329 - 101.104i) q^{34} +(2.97442 - 20.6876i) q^{35} +(-124.067 + 143.181i) q^{36} -83.3057 q^{37} -93.1777 q^{38} +(-20.8089 + 24.0147i) q^{39} +(-47.5576 - 104.137i) q^{40} +(-135.045 - 86.7884i) q^{41} +(135.978 + 156.928i) q^{42} +(207.000 + 133.031i) q^{43} +(97.7804 + 680.078i) q^{44} +(-2.08460 + 14.4987i) q^{45} +(-136.393 - 298.660i) q^{46} +(9.51747 + 66.1954i) q^{47} +(606.562 + 178.103i) q^{48} +(-149.820 + 96.2832i) q^{49} +(554.769 + 356.529i) q^{50} +(82.9771 - 181.694i) q^{51} +(213.937 + 62.8174i) q^{52} +(-501.489 + 322.287i) q^{53} +(-95.2994 - 109.981i) q^{54} +(34.7869 + 40.1462i) q^{55} +(375.243 - 821.668i) q^{56} +(7.38084 - 51.3349i) q^{57} +(301.299 - 88.4694i) q^{58} +(-513.048 + 592.089i) q^{59} +(98.6183 - 28.9569i) q^{60} +(-370.668 - 811.650i) q^{61} +(-375.665 + 822.593i) q^{62} +(-97.2281 + 62.4847i) q^{63} +(-199.643 - 1388.55i) q^{64} +(16.5406 - 4.85675i) q^{65} -527.759 q^{66} +(-484.002 - 257.885i) q^{67} -1401.58 q^{68} +(175.346 - 51.4863i) q^{69} +(-16.0317 - 111.503i) q^{70} +(398.416 - 256.046i) q^{71} +(-262.986 + 575.859i) q^{72} +(-126.932 - 277.943i) q^{73} +(-430.818 + 126.500i) q^{74} +(-240.369 + 277.400i) q^{75} +(-349.173 + 102.526i) q^{76} +(-59.6499 + 414.874i) q^{77} +(-71.1475 + 155.791i) q^{78} +(603.267 + 696.208i) q^{79} +(-224.590 - 259.191i) q^{80} +(68.1415 - 43.7919i) q^{81} +(-830.180 - 243.763i) q^{82} +(609.695 - 1335.05i) q^{83} +(682.237 + 438.447i) q^{84} +(-91.1615 + 58.5859i) q^{85} +(1272.52 + 373.644i) q^{86} +(24.8743 + 173.004i) q^{87} +(953.734 + 2088.39i) q^{88} +(-22.0676 + 153.484i) q^{89} +(11.2357 + 78.1460i) q^{90} +(114.427 + 73.5377i) q^{91} +(-839.745 - 969.117i) q^{92} +(-423.438 - 272.127i) q^{93} +(149.738 + 327.880i) q^{94} +(-18.4252 + 21.2639i) q^{95} +1719.12 q^{96} +1266.60 q^{97} +(-628.591 + 725.433i) q^{98} +(41.8051 - 290.761i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.17153 1.51850i 1.82841 0.536871i 0.828675 0.559730i \(-0.189095\pi\)
0.999739 + 0.0228599i \(0.00727716\pi\)
\(3\) 0.426945 + 2.96946i 0.0821655 + 0.571474i
\(4\) 17.7089 11.3808i 2.21361 1.42260i
\(5\) 0.676102 1.48046i 0.0604724 0.132416i −0.876983 0.480521i \(-0.840448\pi\)
0.937455 + 0.348105i \(0.113175\pi\)
\(6\) 6.71709 + 14.7084i 0.457040 + 1.00078i
\(7\) 12.3215 3.61792i 0.665299 0.195350i 0.0683906 0.997659i \(-0.478214\pi\)
0.596909 + 0.802309i \(0.296395\pi\)
\(8\) 46.0635 53.1601i 2.03574 2.34937i
\(9\) −8.63544 + 2.53559i −0.319831 + 0.0939109i
\(10\) 1.24841 8.68289i 0.0394782 0.274577i
\(11\) −13.5587 + 29.6895i −0.371647 + 0.813793i 0.627728 + 0.778433i \(0.283985\pi\)
−0.999375 + 0.0353598i \(0.988742\pi\)
\(12\) 41.3556 + 47.7270i 0.994862 + 1.14813i
\(13\) 6.93630 + 8.00491i 0.147983 + 0.170782i 0.824902 0.565276i \(-0.191230\pi\)
−0.676918 + 0.736058i \(0.736685\pi\)
\(14\) 58.2273 37.4204i 1.11156 0.714359i
\(15\) 4.68482 + 1.37559i 0.0806410 + 0.0236783i
\(16\) 87.5375 191.680i 1.36777 2.99501i
\(17\) −56.0121 35.9968i −0.799113 0.513559i 0.0762132 0.997092i \(-0.475717\pi\)
−0.875326 + 0.483533i \(0.839353\pi\)
\(18\) −40.8082 + 26.2258i −0.534365 + 0.343416i
\(19\) −16.5873 4.87048i −0.200284 0.0588086i 0.180052 0.983657i \(-0.442373\pi\)
−0.380336 + 0.924848i \(0.624192\pi\)
\(20\) −4.87579 33.9118i −0.0545130 0.379146i
\(21\) 16.0039 + 35.0436i 0.166302 + 0.364150i
\(22\) −25.0360 + 174.129i −0.242622 + 1.68748i
\(23\) −8.66930 60.2963i −0.0785945 0.546637i −0.990635 0.136537i \(-0.956403\pi\)
0.912041 0.410100i \(-0.134506\pi\)
\(24\) 177.524 + 114.088i 1.50987 + 0.970334i
\(25\) 80.1230 + 92.4668i 0.640984 + 0.739735i
\(26\) 48.0267 + 30.8649i 0.362262 + 0.232812i
\(27\) −11.2162 24.5601i −0.0799467 0.175059i
\(28\) 177.026 204.298i 1.19481 1.37888i
\(29\) 58.2611 0.373062 0.186531 0.982449i \(-0.440275\pi\)
0.186531 + 0.982449i \(0.440275\pi\)
\(30\) 26.3165 0.160157
\(31\) −109.873 + 126.800i −0.636572 + 0.734644i −0.978765 0.204986i \(-0.934285\pi\)
0.342192 + 0.939630i \(0.388831\pi\)
\(32\) 81.5522 567.208i 0.450517 3.13341i
\(33\) −93.9507 27.5864i −0.495598 0.145521i
\(34\) −344.329 101.104i −1.73682 0.509977i
\(35\) 2.97442 20.6876i 0.0143648 0.0999096i
\(36\) −124.067 + 143.181i −0.574384 + 0.662874i
\(37\) −83.3057 −0.370145 −0.185073 0.982725i \(-0.559252\pi\)
−0.185073 + 0.982725i \(0.559252\pi\)
\(38\) −93.1777 −0.397774
\(39\) −20.8089 + 24.0147i −0.0854382 + 0.0986009i
\(40\) −47.5576 104.137i −0.187988 0.411637i
\(41\) −135.045 86.7884i −0.514403 0.330587i 0.257551 0.966265i \(-0.417084\pi\)
−0.771955 + 0.635678i \(0.780721\pi\)
\(42\) 135.978 + 156.928i 0.499570 + 0.576534i
\(43\) 207.000 + 133.031i 0.734121 + 0.471791i 0.853523 0.521055i \(-0.174461\pi\)
−0.119402 + 0.992846i \(0.538098\pi\)
\(44\) 97.7804 + 680.078i 0.335022 + 2.33013i
\(45\) −2.08460 + 14.4987i −0.00690564 + 0.0480298i
\(46\) −136.393 298.660i −0.437176 0.957283i
\(47\) 9.51747 + 66.1954i 0.0295376 + 0.205438i 0.999246 0.0388273i \(-0.0123622\pi\)
−0.969708 + 0.244266i \(0.921453\pi\)
\(48\) 606.562 + 178.103i 1.82395 + 0.535561i
\(49\) −149.820 + 96.2832i −0.436792 + 0.280709i
\(50\) 554.769 + 356.529i 1.56912 + 1.00842i
\(51\) 82.9771 181.694i 0.227826 0.498869i
\(52\) 213.937 + 62.8174i 0.570532 + 0.167523i
\(53\) −501.489 + 322.287i −1.29971 + 0.835275i −0.993181 0.116585i \(-0.962805\pi\)
−0.306532 + 0.951860i \(0.599169\pi\)
\(54\) −95.2994 109.981i −0.240159 0.277159i
\(55\) 34.7869 + 40.1462i 0.0852848 + 0.0984240i
\(56\) 375.243 821.668i 0.895428 1.96071i
\(57\) 7.38084 51.3349i 0.0171512 0.119289i
\(58\) 301.299 88.4694i 0.682112 0.200286i
\(59\) −513.048 + 592.089i −1.13209 + 1.30650i −0.186014 + 0.982547i \(0.559557\pi\)
−0.946073 + 0.323952i \(0.894988\pi\)
\(60\) 98.6183 28.9569i 0.212193 0.0623054i
\(61\) −370.668 811.650i −0.778020 1.70363i −0.708141 0.706071i \(-0.750466\pi\)
−0.0698785 0.997556i \(-0.522261\pi\)
\(62\) −375.665 + 822.593i −0.769509 + 1.68499i
\(63\) −97.2281 + 62.4847i −0.194438 + 0.124958i
\(64\) −199.643 1388.55i −0.389927 2.71200i
\(65\) 16.5406 4.85675i 0.0315631 0.00926778i
\(66\) −527.759 −0.984283
\(67\) −484.002 257.885i −0.882542 0.470234i
\(68\) −1401.58 −2.49952
\(69\) 175.346 51.4863i 0.305931 0.0898294i
\(70\) −16.0317 111.503i −0.0273737 0.190388i
\(71\) 398.416 256.046i 0.665961 0.427987i −0.163506 0.986542i \(-0.552280\pi\)
0.829467 + 0.558555i \(0.188644\pi\)
\(72\) −262.986 + 575.859i −0.430461 + 0.942579i
\(73\) −126.932 277.943i −0.203511 0.445627i 0.780165 0.625573i \(-0.215135\pi\)
−0.983676 + 0.179946i \(0.942408\pi\)
\(74\) −430.818 + 126.500i −0.676778 + 0.198720i
\(75\) −240.369 + 277.400i −0.370072 + 0.427086i
\(76\) −349.173 + 102.526i −0.527012 + 0.154745i
\(77\) −59.6499 + 414.874i −0.0882823 + 0.614017i
\(78\) −71.1475 + 155.791i −0.103280 + 0.226152i
\(79\) 603.267 + 696.208i 0.859150 + 0.991512i 0.999999 + 0.00148118i \(0.000471475\pi\)
−0.140849 + 0.990031i \(0.544983\pi\)
\(80\) −224.590 259.191i −0.313875 0.362231i
\(81\) 68.1415 43.7919i 0.0934726 0.0600712i
\(82\) −830.180 243.763i −1.11802 0.328282i
\(83\) 609.695 1335.05i 0.806297 1.76554i 0.183733 0.982976i \(-0.441182\pi\)
0.622564 0.782569i \(-0.286091\pi\)
\(84\) 682.237 + 438.447i 0.886168 + 0.569506i
\(85\) −91.1615 + 58.5859i −0.116328 + 0.0747593i
\(86\) 1272.52 + 373.644i 1.59557 + 0.468501i
\(87\) 24.8743 + 173.004i 0.0306529 + 0.213195i
\(88\) 953.734 + 2088.39i 1.15532 + 2.52980i
\(89\) −22.0676 + 153.484i −0.0262828 + 0.182801i −0.998734 0.0503065i \(-0.983980\pi\)
0.972451 + 0.233107i \(0.0748893\pi\)
\(90\) 11.2357 + 78.1460i 0.0131594 + 0.0915257i
\(91\) 114.427 + 73.5377i 0.131815 + 0.0847125i
\(92\) −839.745 969.117i −0.951624 1.09823i
\(93\) −423.438 272.127i −0.472134 0.303422i
\(94\) 149.738 + 327.880i 0.164301 + 0.359768i
\(95\) −18.4252 + 21.2639i −0.0198988 + 0.0229645i
\(96\) 1719.12 1.82768
\(97\) 1266.60 1.32581 0.662904 0.748705i \(-0.269324\pi\)
0.662904 + 0.748705i \(0.269324\pi\)
\(98\) −628.591 + 725.433i −0.647931 + 0.747753i
\(99\) 41.8051 290.761i 0.0424402 0.295178i
\(100\) 2471.24 + 725.621i 2.47124 + 0.725621i
\(101\) 327.504 + 96.1638i 0.322652 + 0.0947392i 0.439048 0.898464i \(-0.355316\pi\)
−0.116396 + 0.993203i \(0.537134\pi\)
\(102\) 153.216 1065.64i 0.148732 1.03445i
\(103\) 718.874 829.625i 0.687697 0.793644i −0.299339 0.954147i \(-0.596766\pi\)
0.987035 + 0.160503i \(0.0513115\pi\)
\(104\) 745.052 0.702485
\(105\) 62.7009 0.0582760
\(106\) −2104.07 + 2428.23i −1.92798 + 2.22501i
\(107\) 76.5987 + 167.728i 0.0692063 + 0.151541i 0.941074 0.338201i \(-0.109818\pi\)
−0.871868 + 0.489742i \(0.837091\pi\)
\(108\) −478.140 307.282i −0.426010 0.273780i
\(109\) 1154.06 + 1331.86i 1.01412 + 1.17036i 0.985311 + 0.170770i \(0.0546255\pi\)
0.0288075 + 0.999585i \(0.490829\pi\)
\(110\) 240.864 + 154.794i 0.208777 + 0.134173i
\(111\) −35.5669 247.373i −0.0304132 0.211528i
\(112\) 385.110 2678.50i 0.324906 2.25977i
\(113\) −126.612 277.242i −0.105404 0.230803i 0.849580 0.527460i \(-0.176856\pi\)
−0.954984 + 0.296657i \(0.904128\pi\)
\(114\) −39.7817 276.688i −0.0326833 0.227318i
\(115\) −95.1274 27.9319i −0.0771363 0.0226493i
\(116\) 1031.74 663.059i 0.825816 0.530719i
\(117\) −80.1951 51.5383i −0.0633679 0.0407241i
\(118\) −1754.16 + 3841.07i −1.36850 + 2.99661i
\(119\) −820.387 240.887i −0.631973 0.185564i
\(120\) 288.926 185.681i 0.219793 0.141253i
\(121\) 173.993 + 200.799i 0.130724 + 0.150863i
\(122\) −3149.41 3634.62i −2.33717 2.69724i
\(123\) 200.058 438.066i 0.146656 0.321131i
\(124\) −502.639 + 3495.93i −0.364019 + 2.53181i
\(125\) 386.265 113.418i 0.276389 0.0811551i
\(126\) −407.935 + 470.783i −0.288427 + 0.332862i
\(127\) 1099.87 322.950i 0.768482 0.225647i 0.126086 0.992019i \(-0.459758\pi\)
0.642396 + 0.766373i \(0.277940\pi\)
\(128\) −1236.57 2707.71i −0.853893 1.86976i
\(129\) −306.653 + 671.476i −0.209297 + 0.458296i
\(130\) 78.1651 50.2337i 0.0527349 0.0338907i
\(131\) −151.022 1050.38i −0.100724 0.700550i −0.976134 0.217169i \(-0.930318\pi\)
0.875410 0.483381i \(-0.160591\pi\)
\(132\) −1977.72 + 580.711i −1.30408 + 0.382912i
\(133\) −222.002 −0.144737
\(134\) −2894.63 598.705i −1.86611 0.385972i
\(135\) −43.9434 −0.0280152
\(136\) −4493.71 + 1319.47i −2.83332 + 0.831939i
\(137\) −435.845 3031.37i −0.271801 1.89042i −0.429712 0.902966i \(-0.641385\pi\)
0.157911 0.987453i \(-0.449524\pi\)
\(138\) 828.628 532.527i 0.511141 0.328490i
\(139\) −565.719 + 1238.75i −0.345206 + 0.755896i 0.654794 + 0.755808i \(0.272755\pi\)
−1.00000 8.85571e-5i \(0.999972\pi\)
\(140\) −182.768 400.205i −0.110333 0.241596i
\(141\) −192.502 + 56.5236i −0.114976 + 0.0337599i
\(142\) 1671.61 1929.15i 0.987878 1.14007i
\(143\) −331.709 + 97.3986i −0.193978 + 0.0569572i
\(144\) −269.901 + 1877.20i −0.156193 + 1.08635i
\(145\) 39.3904 86.2530i 0.0225600 0.0493995i
\(146\) −1078.49 1244.64i −0.611346 0.705531i
\(147\) −349.874 403.776i −0.196307 0.226550i
\(148\) −1475.25 + 948.087i −0.819358 + 0.526569i
\(149\) 2572.15 + 755.251i 1.41422 + 0.415252i 0.897542 0.440929i \(-0.145351\pi\)
0.516676 + 0.856181i \(0.327169\pi\)
\(150\) −821.843 + 1799.59i −0.447355 + 0.979570i
\(151\) 2303.51 + 1480.37i 1.24143 + 0.797822i 0.985632 0.168907i \(-0.0540239\pi\)
0.255803 + 0.966729i \(0.417660\pi\)
\(152\) −1022.99 + 657.433i −0.545889 + 0.350821i
\(153\) 574.962 + 168.824i 0.303810 + 0.0892066i
\(154\) 321.505 + 2236.11i 0.168231 + 1.17007i
\(155\) 113.437 + 248.392i 0.0587836 + 0.128718i
\(156\) −95.1951 + 662.097i −0.0488571 + 0.339809i
\(157\) −334.985 2329.87i −0.170285 1.18436i −0.878282 0.478142i \(-0.841310\pi\)
0.707998 0.706215i \(-0.249599\pi\)
\(158\) 4177.01 + 2684.40i 2.10320 + 1.35164i
\(159\) −1171.13 1351.55i −0.584129 0.674121i
\(160\) −784.589 504.225i −0.387670 0.249140i
\(161\) −324.966 711.577i −0.159074 0.348324i
\(162\) 285.898 329.944i 0.138656 0.160018i
\(163\) 1127.56 0.541823 0.270912 0.962604i \(-0.412675\pi\)
0.270912 + 0.962604i \(0.412675\pi\)
\(164\) −3379.23 −1.60898
\(165\) −104.361 + 120.439i −0.0492392 + 0.0568251i
\(166\) 1125.79 7830.05i 0.526376 3.66102i
\(167\) −2550.56 748.912i −1.18185 0.347021i −0.368960 0.929445i \(-0.620286\pi\)
−0.812885 + 0.582424i \(0.802104\pi\)
\(168\) 2600.12 + 763.465i 1.19407 + 0.350611i
\(169\) 296.699 2063.59i 0.135047 0.939276i
\(170\) −382.482 + 441.408i −0.172559 + 0.199144i
\(171\) 155.588 0.0695797
\(172\) 5179.74 2.29623
\(173\) −2865.08 + 3306.47i −1.25912 + 1.45310i −0.421519 + 0.906820i \(0.638503\pi\)
−0.837601 + 0.546282i \(0.816043\pi\)
\(174\) 391.345 + 856.926i 0.170504 + 0.373353i
\(175\) 1321.77 + 849.453i 0.570953 + 0.366929i
\(176\) 4504.00 + 5197.89i 1.92899 + 2.22617i
\(177\) −1977.23 1270.69i −0.839648 0.539609i
\(178\) 118.942 + 827.257i 0.0500845 + 0.348346i
\(179\) 324.414 2256.35i 0.135463 0.942164i −0.802802 0.596246i \(-0.796658\pi\)
0.938265 0.345918i \(-0.112433\pi\)
\(180\) 128.091 + 280.481i 0.0530408 + 0.116143i
\(181\) 450.198 + 3131.20i 0.184878 + 1.28586i 0.845028 + 0.534723i \(0.179584\pi\)
−0.660149 + 0.751135i \(0.729507\pi\)
\(182\) 703.429 + 206.545i 0.286493 + 0.0841218i
\(183\) 2251.91 1447.22i 0.909651 0.584597i
\(184\) −3604.70 2316.60i −1.44425 0.928162i
\(185\) −56.3231 + 123.330i −0.0223836 + 0.0490132i
\(186\) −2603.05 764.324i −1.02615 0.301306i
\(187\) 1828.18 1174.90i 0.714918 0.459450i
\(188\) 921.902 + 1063.93i 0.357642 + 0.412740i
\(189\) −227.057 262.038i −0.0873861 0.100849i
\(190\) −62.9976 + 137.946i −0.0240544 + 0.0526717i
\(191\) 416.001 2893.35i 0.157596 1.09610i −0.745451 0.666560i \(-0.767766\pi\)
0.903047 0.429542i \(-0.141325\pi\)
\(192\) 4038.00 1185.66i 1.51780 0.445667i
\(193\) 145.915 168.395i 0.0544206 0.0628047i −0.727887 0.685698i \(-0.759497\pi\)
0.782307 + 0.622893i \(0.214043\pi\)
\(194\) 6550.24 1923.32i 2.42412 0.711787i
\(195\) 21.4838 + 47.0431i 0.00788969 + 0.0172760i
\(196\) −1557.36 + 3410.14i −0.567550 + 1.24276i
\(197\) −892.465 + 573.552i −0.322769 + 0.207431i −0.691984 0.721913i \(-0.743263\pi\)
0.369215 + 0.929344i \(0.379627\pi\)
\(198\) −225.324 1567.16i −0.0808741 0.562492i
\(199\) 1889.55 554.821i 0.673098 0.197639i 0.0727158 0.997353i \(-0.476833\pi\)
0.600382 + 0.799713i \(0.295015\pi\)
\(200\) 8606.29 3.04278
\(201\) 559.139 1547.33i 0.196212 0.542986i
\(202\) 1839.72 0.640804
\(203\) 717.865 210.784i 0.248198 0.0728776i
\(204\) −598.399 4161.95i −0.205374 1.42841i
\(205\) −219.791 + 141.251i −0.0748822 + 0.0481239i
\(206\) 2457.90 5382.04i 0.831310 1.82031i
\(207\) 227.750 + 498.703i 0.0764721 + 0.167450i
\(208\) 2141.57 628.822i 0.713900 0.209620i
\(209\) 369.505 426.432i 0.122293 0.141133i
\(210\) 324.260 95.2112i 0.106553 0.0312867i
\(211\) 502.129 3492.39i 0.163829 1.13946i −0.727502 0.686106i \(-0.759319\pi\)
0.891331 0.453353i \(-0.149772\pi\)
\(212\) −5212.92 + 11414.7i −1.68880 + 3.69795i
\(213\) 930.421 + 1073.76i 0.299302 + 0.345413i
\(214\) 650.827 + 751.095i 0.207895 + 0.239924i
\(215\) 336.900 216.512i 0.106867 0.0686791i
\(216\) −1822.27 535.068i −0.574028 0.168550i
\(217\) −895.047 + 1959.88i −0.279999 + 0.613112i
\(218\) 7990.68 + 5135.30i 2.48256 + 1.59544i
\(219\) 771.149 495.587i 0.237942 0.152916i
\(220\) 1072.93 + 315.042i 0.328806 + 0.0965461i
\(221\) −100.365 698.056i −0.0305489 0.212472i
\(222\) −559.572 1225.29i −0.169171 0.370433i
\(223\) 13.4719 93.6992i 0.00404550 0.0281371i −0.987699 0.156369i \(-0.950021\pi\)
0.991744 + 0.128232i \(0.0409302\pi\)
\(224\) −1047.27 7283.91i −0.312382 2.17266i
\(225\) −926.355 595.332i −0.274476 0.176395i
\(226\) −1075.77 1241.51i −0.316634 0.365415i
\(227\) 339.449 + 218.151i 0.0992511 + 0.0637848i 0.589325 0.807896i \(-0.299394\pi\)
−0.490074 + 0.871681i \(0.663030\pi\)
\(228\) −453.526 993.084i −0.131735 0.288459i
\(229\) −838.438 + 967.610i −0.241946 + 0.279220i −0.863715 0.503980i \(-0.831869\pi\)
0.621770 + 0.783200i \(0.286414\pi\)
\(230\) −534.369 −0.153197
\(231\) −1257.42 −0.358148
\(232\) 2683.71 3097.17i 0.759458 0.876461i
\(233\) 730.434 5080.28i 0.205375 1.42841i −0.582627 0.812740i \(-0.697975\pi\)
0.788002 0.615673i \(-0.211116\pi\)
\(234\) −492.993 144.756i −0.137726 0.0404401i
\(235\) 104.434 + 30.6647i 0.0289895 + 0.00851209i
\(236\) −2347.06 + 16324.2i −0.647375 + 4.50259i
\(237\) −1809.80 + 2088.62i −0.496031 + 0.572450i
\(238\) −4608.45 −1.25513
\(239\) −1494.83 −0.404571 −0.202285 0.979327i \(-0.564837\pi\)
−0.202285 + 0.979327i \(0.564837\pi\)
\(240\) 673.771 777.573i 0.181216 0.209134i
\(241\) 1912.95 + 4188.78i 0.511304 + 1.11960i 0.972628 + 0.232367i \(0.0746471\pi\)
−0.461325 + 0.887231i \(0.652626\pi\)
\(242\) 1204.72 + 774.229i 0.320011 + 0.205658i
\(243\) 159.131 + 183.647i 0.0420093 + 0.0484814i
\(244\) −15801.4 10154.9i −4.14582 2.66435i
\(245\) 41.2498 + 286.899i 0.0107565 + 0.0748134i
\(246\) 369.404 2569.26i 0.0957412 0.665895i
\(247\) −76.0668 166.563i −0.0195952 0.0429075i
\(248\) 1679.58 + 11681.7i 0.430053 + 2.99109i
\(249\) 4224.67 + 1240.48i 1.07521 + 0.315711i
\(250\) 1825.36 1173.09i 0.461783 0.296770i
\(251\) −3819.85 2454.87i −0.960585 0.617330i −0.0364251 0.999336i \(-0.511597\pi\)
−0.924160 + 0.382006i \(0.875233\pi\)
\(252\) −1010.68 + 2213.07i −0.252645 + 0.553216i
\(253\) 1907.71 + 560.154i 0.474058 + 0.139196i
\(254\) 5197.59 3340.29i 1.28396 0.825151i
\(255\) −212.890 245.688i −0.0522811 0.0603356i
\(256\) −3157.37 3643.80i −0.770843 0.889600i
\(257\) −998.570 + 2186.56i −0.242370 + 0.530716i −0.991251 0.131988i \(-0.957864\pi\)
0.748881 + 0.662704i \(0.230591\pi\)
\(258\) −566.230 + 3938.21i −0.136635 + 0.950320i
\(259\) −1026.45 + 301.394i −0.246257 + 0.0723077i
\(260\) 237.641 274.253i 0.0566842 0.0654171i
\(261\) −503.110 + 147.726i −0.119317 + 0.0350346i
\(262\) −2376.01 5202.74i −0.560269 1.22682i
\(263\) 202.671 443.788i 0.0475180 0.104050i −0.884384 0.466760i \(-0.845421\pi\)
0.931902 + 0.362710i \(0.118148\pi\)
\(264\) −5794.20 + 3723.71i −1.35079 + 0.868099i
\(265\) 138.075 + 960.332i 0.0320071 + 0.222614i
\(266\) −1148.09 + 337.110i −0.264639 + 0.0777050i
\(267\) −465.186 −0.106625
\(268\) −11506.1 + 941.480i −2.62256 + 0.214590i
\(269\) −4797.31 −1.08735 −0.543676 0.839295i \(-0.682968\pi\)
−0.543676 + 0.839295i \(0.682968\pi\)
\(270\) −227.255 + 66.7280i −0.0512233 + 0.0150405i
\(271\) −745.755 5186.84i −0.167164 1.16265i −0.884711 0.466140i \(-0.845644\pi\)
0.717547 0.696510i \(-0.245265\pi\)
\(272\) −11803.0 + 7585.35i −2.63112 + 1.69092i
\(273\) −169.514 + 371.183i −0.0375803 + 0.0822894i
\(274\) −6857.12 15015.0i −1.51188 3.31055i
\(275\) −3831.66 + 1125.08i −0.840210 + 0.246708i
\(276\) 2519.23 2907.35i 0.549420 0.634065i
\(277\) 469.686 137.912i 0.101880 0.0299146i −0.230395 0.973097i \(-0.574002\pi\)
0.332275 + 0.943183i \(0.392184\pi\)
\(278\) −1044.59 + 7265.29i −0.225361 + 1.56742i
\(279\) 627.287 1373.57i 0.134605 0.294743i
\(280\) −962.741 1111.06i −0.205481 0.237138i
\(281\) 2396.87 + 2766.13i 0.508844 + 0.587237i 0.950802 0.309799i \(-0.100262\pi\)
−0.441959 + 0.897035i \(0.645716\pi\)
\(282\) −909.697 + 584.627i −0.192098 + 0.123454i
\(283\) 2627.14 + 771.399i 0.551828 + 0.162031i 0.545747 0.837950i \(-0.316246\pi\)
0.00608141 + 0.999982i \(0.498064\pi\)
\(284\) 4141.49 9068.59i 0.865324 1.89479i
\(285\) −71.0089 45.6346i −0.0147586 0.00948478i
\(286\) −1567.55 + 1007.40i −0.324094 + 0.208283i
\(287\) −1977.96 580.781i −0.406812 0.119451i
\(288\) 733.970 + 5104.87i 0.150172 + 1.04447i
\(289\) −199.350 436.515i −0.0405760 0.0888490i
\(290\) 72.7338 505.875i 0.0147278 0.102434i
\(291\) 540.766 + 3761.11i 0.108936 + 0.757664i
\(292\) −5411.05 3477.47i −1.08444 0.696930i
\(293\) 2163.29 + 2496.57i 0.431333 + 0.497785i 0.929256 0.369436i \(-0.120449\pi\)
−0.497923 + 0.867221i \(0.665904\pi\)
\(294\) −2422.52 1556.86i −0.480559 0.308836i
\(295\) 529.689 + 1159.86i 0.104541 + 0.228914i
\(296\) −3837.35 + 4428.54i −0.753519 + 0.869607i
\(297\) 881.253 0.172173
\(298\) 14448.8 2.80871
\(299\) 422.534 487.630i 0.0817249 0.0943156i
\(300\) −1099.62 + 7648.05i −0.211623 + 1.47187i
\(301\) 3031.85 + 890.232i 0.580575 + 0.170472i
\(302\) 14160.6 + 4157.93i 2.69818 + 0.792258i
\(303\) −145.729 + 1013.57i −0.0276301 + 0.192171i
\(304\) −2385.59 + 2753.12i −0.450075 + 0.519415i
\(305\) −1452.22 −0.272636
\(306\) 3229.79 0.603382
\(307\) 2616.11 3019.15i 0.486350 0.561278i −0.458537 0.888675i \(-0.651626\pi\)
0.944887 + 0.327398i \(0.106172\pi\)
\(308\) 3665.27 + 8025.82i 0.678079 + 1.48479i
\(309\) 2770.46 + 1780.47i 0.510052 + 0.327790i
\(310\) 963.824 + 1112.31i 0.176586 + 0.203791i
\(311\) 1816.01 + 1167.08i 0.331114 + 0.212794i 0.695625 0.718405i \(-0.255128\pi\)
−0.364511 + 0.931199i \(0.618764\pi\)
\(312\) 318.096 + 2212.41i 0.0577200 + 0.401451i
\(313\) −1451.78 + 10097.4i −0.262172 + 1.82344i 0.254283 + 0.967130i \(0.418160\pi\)
−0.516455 + 0.856314i \(0.672749\pi\)
\(314\) −5270.30 11540.3i −0.947198 2.07407i
\(315\) 26.7698 + 186.188i 0.00478828 + 0.0333032i
\(316\) 18606.6 + 5463.39i 3.31235 + 0.972595i
\(317\) −7211.12 + 4634.30i −1.27766 + 0.821099i −0.990597 0.136814i \(-0.956314\pi\)
−0.287059 + 0.957913i \(0.592677\pi\)
\(318\) −8108.87 5211.25i −1.42995 0.918970i
\(319\) −789.947 + 1729.74i −0.138647 + 0.303595i
\(320\) −2190.66 643.236i −0.382693 0.112369i
\(321\) −465.358 + 299.067i −0.0809151 + 0.0520010i
\(322\) −2761.10 3186.48i −0.477858 0.551477i
\(323\) 753.769 + 869.896i 0.129848 + 0.149852i
\(324\) 708.324 1551.01i 0.121455 0.265949i
\(325\) −184.432 + 1282.75i −0.0314783 + 0.218937i
\(326\) 5831.21 1712.20i 0.990677 0.290889i
\(327\) −3462.18 + 3995.57i −0.585502 + 0.675705i
\(328\) −10834.3 + 3181.25i −1.82386 + 0.535534i
\(329\) 356.760 + 781.195i 0.0597836 + 0.130908i
\(330\) −356.819 + 781.325i −0.0595219 + 0.130335i
\(331\) −2808.40 + 1804.85i −0.466355 + 0.299708i −0.752635 0.658438i \(-0.771218\pi\)
0.286280 + 0.958146i \(0.407581\pi\)
\(332\) −4396.88 30581.0i −0.726838 5.05527i
\(333\) 719.381 211.229i 0.118384 0.0347606i
\(334\) −14327.5 −2.34721
\(335\) −709.023 + 542.188i −0.115636 + 0.0884265i
\(336\) 8118.13 1.31810
\(337\) −1723.76 + 506.143i −0.278633 + 0.0818141i −0.418064 0.908418i \(-0.637291\pi\)
0.139430 + 0.990232i \(0.455473\pi\)
\(338\) −1599.17 11122.5i −0.257347 1.78989i
\(339\) 769.205 494.338i 0.123237 0.0791999i
\(340\) −947.614 + 2074.98i −0.151152 + 0.330976i
\(341\) −2274.89 4981.32i −0.361268 0.791066i
\(342\) 804.630 236.261i 0.127221 0.0373553i
\(343\) −4382.13 + 5057.24i −0.689832 + 0.796109i
\(344\) 16607.1 4876.28i 2.60289 0.764278i
\(345\) 42.3287 294.403i 0.00660551 0.0459423i
\(346\) −9795.96 + 21450.2i −1.52206 + 3.33286i
\(347\) −2379.76 2746.38i −0.368161 0.424881i 0.541196 0.840896i \(-0.317972\pi\)
−0.909358 + 0.416016i \(0.863426\pi\)
\(348\) 2409.42 + 2780.62i 0.371146 + 0.428325i
\(349\) 1807.33 1161.50i 0.277204 0.178148i −0.394651 0.918831i \(-0.629134\pi\)
0.671855 + 0.740683i \(0.265498\pi\)
\(350\) 8125.49 + 2385.86i 1.24093 + 0.364370i
\(351\) 118.802 260.141i 0.0180661 0.0395592i
\(352\) 15734.4 + 10111.9i 2.38251 + 1.53115i
\(353\) −7622.62 + 4898.76i −1.14932 + 0.738625i −0.969504 0.245074i \(-0.921188\pi\)
−0.179819 + 0.983700i \(0.557551\pi\)
\(354\) −12154.9 3568.99i −1.82492 0.535846i
\(355\) −109.696 762.950i −0.0164001 0.114065i
\(356\) 1355.98 + 2969.18i 0.201873 + 0.442040i
\(357\) 365.047 2538.96i 0.0541185 0.376403i
\(358\) −1748.55 12161.4i −0.258138 1.79539i
\(359\) −5000.53 3213.64i −0.735147 0.472450i 0.118729 0.992927i \(-0.462118\pi\)
−0.853876 + 0.520477i \(0.825754\pi\)
\(360\) 674.729 + 778.679i 0.0987816 + 0.114000i
\(361\) −5518.74 3546.68i −0.804598 0.517084i
\(362\) 7082.94 + 15509.5i 1.02837 + 2.25182i
\(363\) −521.979 + 602.396i −0.0754733 + 0.0871008i
\(364\) 2863.29 0.412300
\(365\) −497.302 −0.0713150
\(366\) 9448.24 10903.9i 1.34937 1.55725i
\(367\) −476.119 + 3311.48i −0.0677199 + 0.471002i 0.927538 + 0.373729i \(0.121921\pi\)
−0.995258 + 0.0972728i \(0.968988\pi\)
\(368\) −12316.5 3616.45i −1.74468 0.512284i
\(369\) 1386.24 + 407.035i 0.195568 + 0.0574239i
\(370\) −104.000 + 723.334i −0.0146127 + 0.101633i
\(371\) −5013.09 + 5785.42i −0.701528 + 0.809606i
\(372\) −10595.6 −1.47677
\(373\) 7964.94 1.10565 0.552827 0.833296i \(-0.313549\pi\)
0.552827 + 0.833296i \(0.313549\pi\)
\(374\) 7670.40 8852.12i 1.06050 1.22388i
\(375\) 501.704 + 1098.58i 0.0690876 + 0.151281i
\(376\) 3957.37 + 2543.25i 0.542781 + 0.348824i
\(377\) 404.116 + 466.375i 0.0552070 + 0.0637123i
\(378\) −1572.14 1010.35i −0.213921 0.137479i
\(379\) 622.852 + 4332.03i 0.0844162 + 0.587128i 0.987495 + 0.157652i \(0.0503925\pi\)
−0.903078 + 0.429476i \(0.858698\pi\)
\(380\) −84.2906 + 586.254i −0.0113790 + 0.0791426i
\(381\) 1428.57 + 3128.13i 0.192094 + 0.420627i
\(382\) −2242.19 15594.8i −0.300315 2.08874i
\(383\) −46.9051 13.7726i −0.00625780 0.00183746i 0.278602 0.960407i \(-0.410129\pi\)
−0.284860 + 0.958569i \(0.591947\pi\)
\(384\) 7512.50 4827.99i 0.998361 0.641607i
\(385\) 573.874 + 368.806i 0.0759670 + 0.0488210i
\(386\) 498.896 1092.43i 0.0657854 0.144050i
\(387\) −2124.85 623.912i −0.279101 0.0819515i
\(388\) 22430.0 14414.9i 2.93482 1.88610i
\(389\) −40.2946 46.5024i −0.00525197 0.00606110i 0.753118 0.657886i \(-0.228549\pi\)
−0.758369 + 0.651825i \(0.774004\pi\)
\(390\) 182.539 + 210.662i 0.0237006 + 0.0273520i
\(391\) −1684.89 + 3689.39i −0.217924 + 0.477187i
\(392\) −1782.79 + 12399.6i −0.229705 + 1.59764i
\(393\) 3054.58 896.907i 0.392070 0.115122i
\(394\) −3744.47 + 4321.35i −0.478792 + 0.552555i
\(395\) 1438.58 422.404i 0.183247 0.0538062i
\(396\) −2568.78 5624.84i −0.325974 0.713784i
\(397\) −6145.79 + 13457.4i −0.776948 + 1.70128i −0.0662283 + 0.997804i \(0.521097\pi\)
−0.710720 + 0.703475i \(0.751631\pi\)
\(398\) 8929.36 5738.55i 1.12459 0.722733i
\(399\) −94.7825 659.227i −0.0118924 0.0827134i
\(400\) 24737.9 7263.69i 3.09223 0.907961i
\(401\) 6584.58 0.819996 0.409998 0.912086i \(-0.365529\pi\)
0.409998 + 0.912086i \(0.365529\pi\)
\(402\) 541.985 8851.12i 0.0672431 1.09814i
\(403\) −1777.13 −0.219666
\(404\) 6894.15 2024.31i 0.849002 0.249290i
\(405\) −18.7614 130.488i −0.00230188 0.0160099i
\(406\) 3392.39 2180.15i 0.414683 0.266501i
\(407\) 1129.52 2473.30i 0.137563 0.301221i
\(408\) −5836.69 12780.6i −0.708233 1.55081i
\(409\) −1558.70 + 457.676i −0.188442 + 0.0553315i −0.374592 0.927190i \(-0.622217\pi\)
0.186150 + 0.982521i \(0.440399\pi\)
\(410\) −922.166 + 1064.24i −0.111079 + 0.128192i
\(411\) 8815.46 2588.45i 1.05799 0.310655i
\(412\) 3288.66 22873.1i 0.393254 2.73514i
\(413\) −4179.40 + 9151.61i −0.497953 + 1.09037i
\(414\) 1935.10 + 2233.22i 0.229722 + 0.265113i
\(415\) −1564.26 1805.25i −0.185028 0.213533i
\(416\) 5106.12 3281.50i 0.601798 0.386752i
\(417\) −3919.96 1151.00i −0.460339 0.135168i
\(418\) 1263.37 2766.40i 0.147831 0.323706i
\(419\) 3234.70 + 2078.82i 0.377149 + 0.242379i 0.715458 0.698656i \(-0.246218\pi\)
−0.338308 + 0.941035i \(0.609855\pi\)
\(420\) 1110.36 713.587i 0.129000 0.0829035i
\(421\) 4645.83 + 1364.14i 0.537824 + 0.157919i 0.539353 0.842079i \(-0.318669\pi\)
−0.00152950 + 0.999999i \(0.500487\pi\)
\(422\) −2706.41 18823.5i −0.312194 2.17136i
\(423\) −250.032 547.494i −0.0287399 0.0629316i
\(424\) −5967.51 + 41504.9i −0.683509 + 4.75391i
\(425\) −1159.35 8063.42i −0.132321 0.920314i
\(426\) 6442.21 + 4140.16i 0.732691 + 0.470872i
\(427\) −7503.69 8659.71i −0.850419 0.981435i
\(428\) 3265.36 + 2098.52i 0.368778 + 0.236999i
\(429\) −430.843 943.415i −0.0484879 0.106174i
\(430\) 1413.51 1631.28i 0.158525 0.182947i
\(431\) −8126.88 −0.908255 −0.454127 0.890937i \(-0.650049\pi\)
−0.454127 + 0.890937i \(0.650049\pi\)
\(432\) −5689.52 −0.633651
\(433\) 7564.04 8729.37i 0.839503 0.968838i −0.160331 0.987063i \(-0.551256\pi\)
0.999834 + 0.0182256i \(0.00580170\pi\)
\(434\) −1652.69 + 11494.7i −0.182792 + 1.27135i
\(435\) 272.943 + 80.1432i 0.0300841 + 0.00883350i
\(436\) 35594.7 + 10451.6i 3.90981 + 1.14802i
\(437\) −149.871 + 1042.38i −0.0164058 + 0.114105i
\(438\) 3235.47 3733.93i 0.352961 0.407339i
\(439\) −4240.49 −0.461019 −0.230510 0.973070i \(-0.574039\pi\)
−0.230510 + 0.973070i \(0.574039\pi\)
\(440\) 3736.59 0.404852
\(441\) 1049.62 1211.33i 0.113338 0.130799i
\(442\) −1579.04 3457.61i −0.169926 0.372086i
\(443\) 7205.72 + 4630.84i 0.772809 + 0.496654i 0.866640 0.498934i \(-0.166275\pi\)
−0.0938312 + 0.995588i \(0.529911\pi\)
\(444\) −3445.16 3975.93i −0.368243 0.424975i
\(445\) 212.306 + 136.441i 0.0226164 + 0.0145346i
\(446\) −72.6117 505.026i −0.00770912 0.0536181i
\(447\) −1144.53 + 7960.35i −0.121106 + 0.842308i
\(448\) −7483.56 16386.7i −0.789207 1.72812i
\(449\) 1660.63 + 11549.9i 0.174543 + 1.21397i 0.869137 + 0.494571i \(0.164675\pi\)
−0.694594 + 0.719402i \(0.744416\pi\)
\(450\) −5694.69 1672.11i −0.596556 0.175165i
\(451\) 4407.75 2832.69i 0.460205 0.295756i
\(452\) −5397.41 3468.70i −0.561665 0.360960i
\(453\) −3412.45 + 7472.22i −0.353931 + 0.775001i
\(454\) 2086.73 + 612.720i 0.215716 + 0.0633400i
\(455\) 186.233 119.685i 0.0191885 0.0123317i
\(456\) −2388.98 2757.03i −0.245338 0.283136i
\(457\) 6898.95 + 7961.82i 0.706169 + 0.814963i 0.989572 0.144038i \(-0.0460088\pi\)
−0.283403 + 0.959001i \(0.591463\pi\)
\(458\) −2866.70 + 6277.19i −0.292472 + 0.640424i
\(459\) −255.840 + 1779.41i −0.0260165 + 0.180949i
\(460\) −2002.49 + 587.984i −0.202971 + 0.0595976i
\(461\) −793.241 + 915.449i −0.0801408 + 0.0924874i −0.794404 0.607390i \(-0.792217\pi\)
0.714263 + 0.699877i \(0.246762\pi\)
\(462\) −6502.79 + 1909.39i −0.654843 + 0.192279i
\(463\) −6677.89 14622.5i −0.670298 1.46775i −0.872606 0.488425i \(-0.837571\pi\)
0.202308 0.979322i \(-0.435156\pi\)
\(464\) 5100.03 11167.5i 0.510265 1.11732i
\(465\) −689.159 + 442.896i −0.0687290 + 0.0441695i
\(466\) −3936.94 27382.0i −0.391363 2.72199i
\(467\) 8878.88 2607.08i 0.879798 0.258332i 0.189521 0.981877i \(-0.439307\pi\)
0.690277 + 0.723545i \(0.257488\pi\)
\(468\) −2006.72 −0.198206
\(469\) −6896.65 1426.45i −0.679014 0.140442i
\(470\) 586.650 0.0575747
\(471\) 6775.45 1989.45i 0.662837 0.194627i
\(472\) 7842.74 + 54547.4i 0.764812 + 5.31938i
\(473\) −6756.28 + 4342.00i −0.656774 + 0.422083i
\(474\) −6187.88 + 13549.6i −0.599618 + 1.31298i
\(475\) −878.668 1924.01i −0.0848759 0.185852i
\(476\) −17269.6 + 5070.83i −1.66293 + 0.488279i
\(477\) 3513.39 4054.66i 0.337247 0.389204i
\(478\) −7730.55 + 2269.90i −0.739722 + 0.217202i
\(479\) 2057.59 14310.9i 0.196271 1.36509i −0.618717 0.785614i \(-0.712347\pi\)
0.814987 0.579479i \(-0.196744\pi\)
\(480\) 1162.30 2545.09i 0.110524 0.242014i
\(481\) −577.833 666.855i −0.0547753 0.0632140i
\(482\) 16253.6 + 18757.6i 1.53595 + 1.77259i
\(483\) 1974.26 1268.78i 0.185987 0.119527i
\(484\) 5366.48 + 1575.74i 0.503989 + 0.147985i
\(485\) 856.347 1875.14i 0.0801747 0.175558i
\(486\) 1101.82 + 708.097i 0.102839 + 0.0660904i
\(487\) −7657.79 + 4921.37i −0.712542 + 0.457923i −0.846035 0.533127i \(-0.821017\pi\)
0.133494 + 0.991050i \(0.457380\pi\)
\(488\) −60221.7 17682.7i −5.58629 1.64028i
\(489\) 481.405 + 3348.25i 0.0445192 + 0.309638i
\(490\) 648.980 + 1421.07i 0.0598325 + 0.131015i
\(491\) −2306.27 + 16040.5i −0.211977 + 1.47433i 0.554567 + 0.832139i \(0.312884\pi\)
−0.766544 + 0.642192i \(0.778025\pi\)
\(492\) −1442.74 10034.5i −0.132203 0.919491i
\(493\) −3263.32 2097.21i −0.298119 0.191590i
\(494\) −646.308 745.879i −0.0588639 0.0679326i
\(495\) −402.195 258.475i −0.0365198 0.0234699i
\(496\) 14687.1 + 32160.2i 1.32958 + 2.91137i
\(497\) 3982.73 4596.31i 0.359456 0.414835i
\(498\) 23731.7 2.13543
\(499\) −15764.2 −1.41423 −0.707117 0.707097i \(-0.750004\pi\)
−0.707117 + 0.707097i \(0.750004\pi\)
\(500\) 5549.54 6404.52i 0.496366 0.572837i
\(501\) 1134.92 7893.54i 0.101207 0.703907i
\(502\) −23482.2 6895.00i −2.08777 0.613025i
\(503\) −8592.17 2522.89i −0.761642 0.223638i −0.122229 0.992502i \(-0.539004\pi\)
−0.639413 + 0.768864i \(0.720823\pi\)
\(504\) −1156.97 + 8046.92i −0.102253 + 0.711188i
\(505\) 363.792 419.839i 0.0320565 0.0369952i
\(506\) 10716.4 0.941505
\(507\) 6254.43 0.547868
\(508\) 15802.0 18236.4i 1.38012 1.59274i
\(509\) 5934.54 + 12994.8i 0.516785 + 1.13160i 0.970642 + 0.240528i \(0.0773205\pi\)
−0.453857 + 0.891075i \(0.649952\pi\)
\(510\) −1474.04 947.310i −0.127984 0.0822502i
\(511\) −2569.57 2965.45i −0.222449 0.256720i
\(512\) −1828.23 1174.93i −0.157807 0.101417i
\(513\) 66.4276 + 462.014i 0.00571706 + 0.0397630i
\(514\) −1843.84 + 12824.2i −0.158227 + 1.10049i
\(515\) −742.191 1625.17i −0.0635046 0.139056i
\(516\) 2211.46 + 15381.1i 0.188671 + 1.31224i
\(517\) −2094.35 614.958i −0.178162 0.0523130i
\(518\) −4850.67 + 3117.33i −0.411440 + 0.264417i
\(519\) −11041.7 7096.06i −0.933866 0.600159i
\(520\) 503.731 1103.02i 0.0424809 0.0930202i
\(521\) 5811.86 + 1706.51i 0.488718 + 0.143501i 0.516802 0.856105i \(-0.327122\pi\)
−0.0280839 + 0.999606i \(0.508941\pi\)
\(522\) −2377.53 + 1527.94i −0.199352 + 0.128116i
\(523\) −2807.98 3240.58i −0.234769 0.270938i 0.626124 0.779723i \(-0.284640\pi\)
−0.860893 + 0.508785i \(0.830095\pi\)
\(524\) −14628.6 16882.3i −1.21957 1.40746i
\(525\) −1958.10 + 4287.63i −0.162778 + 0.356433i
\(526\) 374.229 2602.82i 0.0310212 0.215757i
\(527\) 10718.6 3147.26i 0.885976 0.260146i
\(528\) −13512.0 + 15593.7i −1.11370 + 1.28528i
\(529\) 8113.67 2382.39i 0.666858 0.195807i
\(530\) 2172.32 + 4756.72i 0.178037 + 0.389847i
\(531\) 2929.10 6413.83i 0.239382 0.524174i
\(532\) −3931.41 + 2526.56i −0.320391 + 0.205903i
\(533\) −241.981 1683.02i −0.0196649 0.136772i
\(534\) −2405.73 + 706.385i −0.194955 + 0.0572440i
\(535\) 300.102 0.0242515
\(536\) −36004.1 + 13850.5i −2.90138 + 1.11614i
\(537\) 6838.65 0.549552
\(538\) −24809.5 + 7284.72i −1.98813 + 0.583767i
\(539\) −827.235 5753.55i −0.0661067 0.459782i
\(540\) −778.189 + 500.112i −0.0620147 + 0.0398544i
\(541\) 3239.89 7094.37i 0.257475 0.563791i −0.736113 0.676859i \(-0.763341\pi\)
0.993587 + 0.113068i \(0.0360679\pi\)
\(542\) −11732.9 25691.5i −0.929837 2.03606i
\(543\) −9105.77 + 2673.70i −0.719643 + 0.211306i
\(544\) −24985.6 + 28834.9i −1.96920 + 2.27258i
\(545\) 2752.02 808.065i 0.216300 0.0635114i
\(546\) −313.004 + 2176.99i −0.0245336 + 0.170635i
\(547\) 8696.03 19041.6i 0.679735 1.48841i −0.183188 0.983078i \(-0.558642\pi\)
0.862923 0.505335i \(-0.168631\pi\)
\(548\) −42217.8 48721.9i −3.29098 3.79799i
\(549\) 5258.90 + 6069.09i 0.408824 + 0.471808i
\(550\) −18107.1 + 11636.7i −1.40380 + 0.902168i
\(551\) −966.395 283.759i −0.0747184 0.0219393i
\(552\) 5340.05 11693.1i 0.411753 0.901613i
\(553\) 9951.99 + 6395.76i 0.765284 + 0.491818i
\(554\) 2219.58 1426.44i 0.170218 0.109392i
\(555\) −390.272 114.594i −0.0298489 0.00876442i
\(556\) 4079.75 + 28375.3i 0.311187 + 2.16435i
\(557\) 5726.64 + 12539.6i 0.435629 + 0.953895i 0.992380 + 0.123216i \(0.0393207\pi\)
−0.556751 + 0.830680i \(0.687952\pi\)
\(558\) 1158.28 8055.98i 0.0878740 0.611177i
\(559\) 370.913 + 2579.76i 0.0280643 + 0.195192i
\(560\) −3705.03 2381.08i −0.279582 0.179676i
\(561\) 4269.35 + 4927.09i 0.321305 + 0.370806i
\(562\) 16595.8 + 10665.5i 1.24565 + 0.800529i
\(563\) −798.077 1747.55i −0.0597424 0.130818i 0.877406 0.479748i \(-0.159272\pi\)
−0.937148 + 0.348931i \(0.886545\pi\)
\(564\) −2765.71 + 3191.79i −0.206484 + 0.238296i
\(565\) −496.048 −0.0369361
\(566\) 14757.7 1.09596
\(567\) 681.171 786.114i 0.0504524 0.0582252i
\(568\) 4740.98 32974.2i 0.350224 2.43586i
\(569\) −6564.06 1927.38i −0.483620 0.142004i 0.0308289 0.999525i \(-0.490185\pi\)
−0.514449 + 0.857521i \(0.672003\pi\)
\(570\) −436.521 128.174i −0.0320769 0.00941864i
\(571\) −2821.89 + 19626.7i −0.206817 + 1.43844i 0.576641 + 0.816998i \(0.304363\pi\)
−0.783457 + 0.621445i \(0.786546\pi\)
\(572\) −4765.73 + 5499.94i −0.348365 + 0.402035i
\(573\) 8769.31 0.639343
\(574\) −11111.0 −0.807951
\(575\) 4880.80 5632.74i 0.353988 0.408524i
\(576\) 5244.79 + 11484.5i 0.379398 + 0.830765i
\(577\) −7360.21 4730.12i −0.531039 0.341278i 0.247486 0.968891i \(-0.420395\pi\)
−0.778525 + 0.627613i \(0.784032\pi\)
\(578\) −1693.79 1954.74i −0.121890 0.140669i
\(579\) 562.340 + 361.394i 0.0403628 + 0.0259396i
\(580\) −284.069 1975.74i −0.0203367 0.141445i
\(581\) 2682.27 18655.6i 0.191531 1.33213i
\(582\) 8507.83 + 18629.6i 0.605947 + 1.32684i
\(583\) −2768.99 19258.8i −0.196707 1.36812i
\(584\) −20622.4 6055.29i −1.46124 0.429058i
\(585\) −130.520 + 83.8803i −0.00922453 + 0.00592824i
\(586\) 14978.6 + 9626.14i 1.05590 + 0.678587i
\(587\) 8164.29 17877.3i 0.574065 1.25703i −0.370539 0.928817i \(-0.620827\pi\)
0.944605 0.328211i \(-0.106446\pi\)
\(588\) −10791.2 3168.58i −0.756839 0.222228i
\(589\) 2440.07 1568.14i 0.170699 0.109701i
\(590\) 4500.55 + 5193.91i 0.314042 + 0.362424i
\(591\) −2084.18 2405.27i −0.145062 0.167410i
\(592\) −7292.37 + 15968.1i −0.506275 + 1.10859i
\(593\) −2588.21 + 18001.4i −0.179233 + 1.24659i 0.679311 + 0.733851i \(0.262279\pi\)
−0.858544 + 0.512741i \(0.828630\pi\)
\(594\) 4557.43 1338.18i 0.314804 0.0924349i
\(595\) −911.289 + 1051.68i −0.0627886 + 0.0724619i
\(596\) 54145.3 15898.5i 3.72127 1.09266i
\(597\) 2454.25 + 5374.07i 0.168251 + 0.368419i
\(598\) 1444.68 3163.41i 0.0987917 0.216324i
\(599\) 23054.9 14816.5i 1.57262 1.01066i 0.594125 0.804373i \(-0.297498\pi\)
0.978492 0.206287i \(-0.0661380\pi\)
\(600\) 3674.41 + 25556.1i 0.250012 + 1.73887i
\(601\) 11782.0 3459.51i 0.799663 0.234802i 0.143726 0.989618i \(-0.454092\pi\)
0.655938 + 0.754815i \(0.272273\pi\)
\(602\) 17031.1 1.15305
\(603\) 4833.46 + 999.718i 0.326424 + 0.0675152i
\(604\) 57640.4 3.88304
\(605\) 414.911 121.829i 0.0278819 0.00818685i
\(606\) 785.459 + 5462.99i 0.0526520 + 0.366203i
\(607\) 13286.7 8538.86i 0.888454 0.570975i −0.0148908 0.999889i \(-0.504740\pi\)
0.903345 + 0.428914i \(0.141104\pi\)
\(608\) −4115.31 + 9011.26i −0.274503 + 0.601077i
\(609\) 932.405 + 2041.68i 0.0620409 + 0.135851i
\(610\) −7510.22 + 2205.20i −0.498492 + 0.146370i
\(611\) −463.873 + 535.338i −0.0307140 + 0.0354459i
\(612\) 12103.3 3553.85i 0.799423 0.234732i
\(613\) 2254.65 15681.4i 0.148555 1.03322i −0.770032 0.638006i \(-0.779760\pi\)
0.918587 0.395219i \(-0.129331\pi\)
\(614\) 8944.73 19586.2i 0.587915 1.28735i
\(615\) −513.278 592.355i −0.0336543 0.0388391i
\(616\) 19307.1 + 22281.6i 1.26283 + 1.45739i
\(617\) 2368.65 1522.24i 0.154551 0.0993241i −0.461079 0.887359i \(-0.652538\pi\)
0.615631 + 0.788035i \(0.288901\pi\)
\(618\) 17031.2 + 5000.80i 1.10857 + 0.325505i
\(619\) −1357.18 + 2971.81i −0.0881254 + 0.192968i −0.948563 0.316588i \(-0.897463\pi\)
0.860438 + 0.509555i \(0.170190\pi\)
\(620\) 4835.74 + 3107.74i 0.313239 + 0.201306i
\(621\) −1383.64 + 889.214i −0.0894102 + 0.0574604i
\(622\) 11163.8 + 3277.98i 0.719656 + 0.211310i
\(623\) 283.386 + 1970.99i 0.0182241 + 0.126751i
\(624\) 2781.60 + 6090.85i 0.178450 + 0.390752i
\(625\) −2083.30 + 14489.7i −0.133331 + 0.927340i
\(626\) 7824.92 + 54423.5i 0.499595 + 3.47476i
\(627\) 1424.03 + 915.170i 0.0907023 + 0.0582908i
\(628\) −32448.1 37447.1i −2.06181 2.37946i
\(629\) 4666.12 + 2998.74i 0.295788 + 0.190091i
\(630\) 421.167 + 922.228i 0.0266344 + 0.0583213i
\(631\) 11711.6 13515.9i 0.738875 0.852707i −0.254566 0.967055i \(-0.581933\pi\)
0.993441 + 0.114348i \(0.0364780\pi\)
\(632\) 64799.1 4.07843
\(633\) 10584.9 0.664632
\(634\) −30255.4 + 34916.5i −1.89526 + 2.18724i
\(635\) 265.508 1846.65i 0.0165927 0.115405i
\(636\) −36121.2 10606.1i −2.25204 0.661259i
\(637\) −1809.93 531.444i −0.112578 0.0330558i
\(638\) −1458.62 + 10145.0i −0.0905133 + 0.629534i
\(639\) −2791.26 + 3221.29i −0.172802 + 0.199425i
\(640\) −4844.69 −0.299224
\(641\) −23180.5 −1.42835 −0.714176 0.699966i \(-0.753198\pi\)
−0.714176 + 0.699966i \(0.753198\pi\)
\(642\) −1952.48 + 2253.28i −0.120028 + 0.138520i
\(643\) −9060.38 19839.5i −0.555686 1.21678i −0.954075 0.299567i \(-0.903158\pi\)
0.398389 0.917217i \(-0.369569\pi\)
\(644\) −13853.1 8902.86i −0.847654 0.544754i
\(645\) 786.763 + 907.973i 0.0480291 + 0.0554285i
\(646\) 5219.08 + 3354.10i 0.317867 + 0.204280i
\(647\) −2558.42 17794.2i −0.155459 1.08124i −0.906872 0.421407i \(-0.861536\pi\)
0.751413 0.659832i \(-0.229373\pi\)
\(648\) 810.855 5639.62i 0.0491565 0.341891i
\(649\) −10622.5 23260.1i −0.642483 1.40684i
\(650\) 994.064 + 6913.87i 0.0599852 + 0.417206i
\(651\) −6201.93 1821.05i −0.373384 0.109635i
\(652\) 19967.8 12832.5i 1.19939 0.770799i
\(653\) −11663.3 7495.53i −0.698957 0.449193i 0.142303 0.989823i \(-0.454549\pi\)
−0.841260 + 0.540631i \(0.818186\pi\)
\(654\) −11837.5 + 25920.5i −0.707773 + 1.54981i
\(655\) −1657.15 486.582i −0.0988551 0.0290265i
\(656\) −28457.2 + 18288.3i −1.69370 + 1.08847i
\(657\) 1800.87 + 2078.31i 0.106938 + 0.123413i
\(658\) 3031.24 + 3498.24i 0.179590 + 0.207257i
\(659\) −792.249 + 1734.78i −0.0468310 + 0.102546i −0.931601 0.363482i \(-0.881588\pi\)
0.884770 + 0.466027i \(0.154315\pi\)
\(660\) −477.423 + 3320.55i −0.0281570 + 0.195837i
\(661\) −24571.5 + 7214.83i −1.44587 + 0.424545i −0.908174 0.418594i \(-0.862523\pi\)
−0.537695 + 0.843139i \(0.680705\pi\)
\(662\) −11783.1 + 13598.4i −0.691786 + 0.798363i
\(663\) 2030.00 596.062i 0.118912 0.0349157i
\(664\) −42886.5 93908.3i −2.50650 5.48848i
\(665\) −150.096 + 328.664i −0.00875259 + 0.0191655i
\(666\) 3399.55 2184.76i 0.197793 0.127114i
\(667\) −505.083 3512.93i −0.0293207 0.203930i
\(668\) −53690.8 + 15765.0i −3.10982 + 0.913126i
\(669\) 283.988 0.0164120
\(670\) −2843.42 + 3880.59i −0.163957 + 0.223762i
\(671\) 29123.3 1.67555
\(672\) 21182.2 6219.65i 1.21595 0.357036i
\(673\) 1502.32 + 10448.9i 0.0860480 + 0.598477i 0.986530 + 0.163583i \(0.0523051\pi\)
−0.900482 + 0.434894i \(0.856786\pi\)
\(674\) −8145.93 + 5235.07i −0.465533 + 0.299180i
\(675\) 1372.32 3004.95i 0.0782525 0.171349i
\(676\) −18231.1 39920.6i −1.03727 2.27131i
\(677\) −27277.7 + 8009.47i −1.54855 + 0.454695i −0.940667 0.339331i \(-0.889799\pi\)
−0.607883 + 0.794026i \(0.707981\pi\)
\(678\) 3227.32 3724.52i 0.182809 0.210973i
\(679\) 15606.4 4582.45i 0.882059 0.258996i
\(680\) −1084.78 + 7544.83i −0.0611758 + 0.425487i
\(681\) −502.864 + 1101.12i −0.0282963 + 0.0619603i
\(682\) −19328.8 22306.6i −1.08525 1.25244i
\(683\) 3344.60 + 3859.87i 0.187375 + 0.216243i 0.841663 0.540003i \(-0.181577\pi\)
−0.654288 + 0.756246i \(0.727031\pi\)
\(684\) 2755.30 1770.72i 0.154023 0.0989843i
\(685\) −4782.49 1404.27i −0.266758 0.0783273i
\(686\) −14982.9 + 32808.0i −0.833891 + 1.82597i
\(687\) −3231.25 2076.60i −0.179447 0.115323i
\(688\) 43619.7 28032.7i 2.41713 1.55340i
\(689\) −6058.36 1778.89i −0.334985 0.0983606i
\(690\) −228.146 1586.79i −0.0125875 0.0875479i
\(691\) −7495.36 16412.6i −0.412644 0.903564i −0.995830 0.0912258i \(-0.970922\pi\)
0.583186 0.812338i \(-0.301806\pi\)
\(692\) −13107.0 + 91160.9i −0.720017 + 5.00783i
\(693\) −536.849 3733.87i −0.0294274 0.204672i
\(694\) −16477.4 10589.4i −0.901257 0.579203i
\(695\) 1451.43 + 1675.04i 0.0792173 + 0.0914217i
\(696\) 10342.7 + 6646.87i 0.563276 + 0.361995i
\(697\) 4440.07 + 9722.39i 0.241291 + 0.528353i
\(698\) 7582.94 8751.18i 0.411201 0.474551i
\(699\) 15397.6 0.833175
\(700\) 33074.6 1.78586
\(701\) 9798.19 11307.7i 0.527921 0.609253i −0.427675 0.903932i \(-0.640667\pi\)
0.955596 + 0.294679i \(0.0952128\pi\)
\(702\) 219.366 1525.73i 0.0117941 0.0820297i
\(703\) 1381.82 + 405.738i 0.0741341 + 0.0217677i
\(704\) 43932.1 + 12899.6i 2.35192 + 0.690587i
\(705\) −46.4700 + 323.206i −0.00248250 + 0.0172662i
\(706\) −31981.9 + 36909.1i −1.70489 + 1.96755i
\(707\) 4383.26 0.233167
\(708\) −49476.1 −2.62631
\(709\) −5410.44 + 6243.99i −0.286592 + 0.330744i −0.880730 0.473618i \(-0.842948\pi\)
0.594139 + 0.804363i \(0.297493\pi\)
\(710\) −1725.83 3779.05i −0.0912245 0.199754i
\(711\) −6974.78 4482.42i −0.367897 0.236433i
\(712\) 7142.71 + 8243.13i 0.375961 + 0.433882i
\(713\) 8598.09 + 5525.66i 0.451614 + 0.290235i
\(714\) −1967.55 13684.6i −0.103129 0.717275i
\(715\) −80.0748 + 556.932i −0.00418829 + 0.0291302i
\(716\) −19934.1 43649.5i −1.04046 2.27829i
\(717\) −638.209 4438.84i −0.0332418 0.231202i
\(718\) −30740.3 9026.17i −1.59780 0.469155i
\(719\) −7537.58 + 4844.11i −0.390966 + 0.251259i −0.721325 0.692597i \(-0.756467\pi\)
0.330359 + 0.943855i \(0.392830\pi\)
\(720\) 2596.64 + 1668.76i 0.134404 + 0.0863763i
\(721\) 5856.10 12823.1i 0.302486 0.662352i
\(722\) −33926.0 9961.57i −1.74875 0.513478i
\(723\) −11621.7 + 7468.83i −0.597810 + 0.384189i
\(724\) 43608.1 + 50326.4i 2.23851 + 2.58338i
\(725\) 4668.05 + 5387.22i 0.239127 + 0.275967i
\(726\) −1784.70 + 3907.94i −0.0912345 + 0.199776i
\(727\) −352.937 + 2454.73i −0.0180051 + 0.125228i −0.996842 0.0794157i \(-0.974695\pi\)
0.978836 + 0.204644i \(0.0656037\pi\)
\(728\) 9180.18 2695.54i 0.467363 0.137230i
\(729\) −477.393 + 550.941i −0.0242541 + 0.0279907i
\(730\) −2571.81 + 755.152i −0.130393 + 0.0382869i
\(731\) −6805.82 14902.7i −0.344354 0.754029i
\(732\) 23408.4 51257.2i 1.18197 2.58814i
\(733\) 17959.5 11541.9i 0.904979 0.581595i −0.00328373 0.999995i \(-0.501045\pi\)
0.908263 + 0.418400i \(0.137409\pi\)
\(734\) 2566.21 + 17848.4i 0.129047 + 0.897543i
\(735\) −834.324 + 244.980i −0.0418701 + 0.0122942i
\(736\) −34907.5 −1.74825
\(737\) 14218.9 10873.2i 0.710667 0.543445i
\(738\) 7787.05 0.388408
\(739\) −30507.9 + 8957.93i −1.51861 + 0.445903i −0.931541 0.363635i \(-0.881535\pi\)
−0.587066 + 0.809539i \(0.699717\pi\)
\(740\) 406.181 + 2825.05i 0.0201777 + 0.140339i
\(741\) 462.127 296.991i 0.0229105 0.0147237i
\(742\) −17140.2 + 37531.9i −0.848029 + 1.85692i
\(743\) 10334.0 + 22628.2i 0.510251 + 1.11729i 0.973000 + 0.230805i \(0.0741358\pi\)
−0.462749 + 0.886489i \(0.653137\pi\)
\(744\) −33971.3 + 9974.89i −1.67399 + 0.491528i
\(745\) 2857.15 3297.33i 0.140507 0.162154i
\(746\) 41191.0 12094.8i 2.02159 0.593593i
\(747\) −1879.85 + 13074.6i −0.0920751 + 0.640396i
\(748\) 19003.7 41612.3i 0.928937 2.03409i
\(749\) 1550.64 + 1789.53i 0.0756463 + 0.0873005i
\(750\) 4262.77 + 4919.50i 0.207539 + 0.239513i
\(751\) −23793.5 + 15291.1i −1.15611 + 0.742984i −0.970846 0.239705i \(-0.922949\pi\)
−0.185260 + 0.982689i \(0.559313\pi\)
\(752\) 13521.5 + 3970.27i 0.655690 + 0.192528i
\(753\) 5658.78 12391.0i 0.273861 0.599672i
\(754\) 2798.09 + 1798.22i 0.135146 + 0.0868534i
\(755\) 3749.03 2409.36i 0.180717 0.116140i
\(756\) −7003.13 2056.31i −0.336907 0.0989248i
\(757\) 5613.73 + 39044.3i 0.269530 + 1.87462i 0.452873 + 0.891575i \(0.350399\pi\)
−0.183342 + 0.983049i \(0.558692\pi\)
\(758\) 9799.28 + 21457.4i 0.469559 + 1.02819i
\(759\) −848.872 + 5904.03i −0.0405956 + 0.282349i
\(760\) 281.658 + 1958.98i 0.0134432 + 0.0934995i
\(761\) 15675.2 + 10073.8i 0.746681 + 0.479863i 0.857825 0.513942i \(-0.171815\pi\)
−0.111144 + 0.993804i \(0.535452\pi\)
\(762\) 12138.0 + 14007.9i 0.577049 + 0.665951i
\(763\) 19038.3 + 12235.2i 0.903321 + 0.580529i
\(764\) −25561.8 55972.5i −1.21046 2.65054i
\(765\) 638.669 737.064i 0.0301845 0.0348348i
\(766\) −263.485 −0.0124283
\(767\) −8298.28 −0.390656
\(768\) 9472.11 10931.4i 0.445046 0.513611i
\(769\) 2004.92 13944.5i 0.0940174 0.653905i −0.887255 0.461280i \(-0.847391\pi\)
0.981272 0.192626i \(-0.0617004\pi\)
\(770\) 3527.84 + 1035.87i 0.165110 + 0.0484806i
\(771\) −6919.25 2031.68i −0.323205 0.0949015i
\(772\) 667.522 4642.71i 0.0311200 0.216444i
\(773\) 5259.47 6069.75i 0.244722 0.282424i −0.620079 0.784540i \(-0.712899\pi\)
0.864801 + 0.502116i \(0.167445\pi\)
\(774\) −11936.1 −0.554310
\(775\) −20528.1 −0.951474
\(776\) 58343.8 67332.4i 2.69900 3.11481i
\(777\) −1333.22 2919.33i −0.0615558 0.134788i
\(778\) −278.999 179.302i −0.0128568 0.00826256i
\(779\) 1817.34 + 2097.32i 0.0835853 + 0.0964626i
\(780\) 915.844 + 588.577i 0.0420416 + 0.0270185i
\(781\) 2199.87 + 15300.4i 0.100791 + 0.701014i
\(782\) −3111.12 + 21638.3i −0.142268 + 0.989493i
\(783\) −653.468 1430.90i −0.0298251 0.0653079i
\(784\) 5340.77 + 37145.9i 0.243293 + 1.69214i
\(785\) −3675.76 1079.30i −0.167125 0.0490725i
\(786\) 14434.9 9276.77i 0.655060 0.420981i
\(787\) 29704.7 + 19090.0i 1.34544 + 0.864659i 0.997346 0.0728028i \(-0.0231944\pi\)
0.348089 + 0.937462i \(0.386831\pi\)
\(788\) −9277.07 + 20314.0i −0.419393 + 0.918344i
\(789\) 1404.34 + 412.352i 0.0633661 + 0.0186060i
\(790\) 6798.22 4368.95i 0.306164 0.196760i
\(791\) −2563.10 2957.97i −0.115213 0.132963i
\(792\) −13531.2 15615.9i −0.607084 0.700613i
\(793\) 3926.12 8597.01i 0.175814 0.384980i
\(794\) −11348.1 + 78927.8i −0.507216 + 3.52776i
\(795\) −2792.72 + 820.017i −0.124588 + 0.0365824i
\(796\) 27147.5 31329.9i 1.20882 1.39505i
\(797\) −25791.5 + 7573.08i −1.14628 + 0.336577i −0.799086 0.601217i \(-0.794683\pi\)
−0.347191 + 0.937794i \(0.612865\pi\)
\(798\) −1491.21 3265.29i −0.0661506 0.144850i
\(799\) 1849.73 4050.34i 0.0819008 0.179338i
\(800\) 58982.1 37905.5i 2.60667 1.67520i
\(801\) −198.609 1381.35i −0.00876092 0.0609335i
\(802\) 34052.4 9998.68i 1.49929 0.440232i
\(803\) 9973.03 0.438282
\(804\) −7708.15 33765.0i −0.338116 1.48109i
\(805\) −1273.17 −0.0557432
\(806\) −9190.51 + 2698.58i −0.401640 + 0.117932i
\(807\) −2048.19 14245.5i −0.0893428 0.621393i
\(808\) 20198.1 12980.5i 0.879413 0.565164i
\(809\) −13478.6 + 29514.1i −0.585764 + 1.28264i 0.352204 + 0.935923i \(0.385432\pi\)
−0.937968 + 0.346721i \(0.887295\pi\)
\(810\) −295.172 646.336i −0.0128040 0.0280369i
\(811\) −1995.78 + 586.013i −0.0864133 + 0.0253732i −0.324653 0.945833i \(-0.605248\pi\)
0.238240 + 0.971206i \(0.423429\pi\)
\(812\) 10313.7 11902.6i 0.445739 0.514410i
\(813\) 15083.7 4428.99i 0.650689 0.191059i
\(814\) 2085.64 14505.9i 0.0898055 0.624611i
\(815\) 762.345 1669.30i 0.0327654 0.0717461i
\(816\) −27563.7 31810.2i −1.18250 1.36468i
\(817\) −2785.65 3214.82i −0.119287 0.137665i
\(818\) −7365.89 + 4733.77i −0.314844 + 0.202338i
\(819\) −1174.59 344.890i −0.0501140 0.0147148i
\(820\) −2284.70 + 5002.80i −0.0972990 + 0.213055i
\(821\) −10782.5 6929.51i −0.458359 0.294570i 0.291012 0.956719i \(-0.406008\pi\)
−0.749372 + 0.662150i \(0.769644\pi\)
\(822\) 41658.9 26772.6i 1.76767 1.13601i
\(823\) −5240.72 1538.81i −0.221968 0.0651757i 0.168857 0.985640i \(-0.445992\pi\)
−0.390826 + 0.920465i \(0.627810\pi\)
\(824\) −10989.1 76430.9i −0.464592 3.23131i
\(825\) −4976.78 10897.6i −0.210023 0.459887i
\(826\) −7717.19 + 53674.3i −0.325079 + 2.26098i
\(827\) −74.9787 521.488i −0.00315268 0.0219273i 0.988184 0.153270i \(-0.0489803\pi\)
−0.991337 + 0.131342i \(0.958071\pi\)
\(828\) 9708.85 + 6239.50i 0.407495 + 0.261881i
\(829\) 4012.26 + 4630.40i 0.168096 + 0.193993i 0.833547 0.552448i \(-0.186306\pi\)
−0.665451 + 0.746441i \(0.731761\pi\)
\(830\) −10830.9 6960.60i −0.452947 0.291091i
\(831\) 610.055 + 1335.83i 0.0254664 + 0.0557637i
\(832\) 9730.41 11229.5i 0.405458 0.467924i
\(833\) 11857.6 0.493207
\(834\) −22020.0 −0.914257
\(835\) −2833.17 + 3269.65i −0.117420 + 0.135510i
\(836\) 1690.39 11756.9i 0.0699321 0.486389i
\(837\) 4346.57 + 1276.27i 0.179498 + 0.0527053i
\(838\) 19885.1 + 5838.78i 0.819711 + 0.240689i
\(839\) 3045.23 21180.0i 0.125308 0.871533i −0.826083 0.563548i \(-0.809436\pi\)
0.951391 0.307985i \(-0.0996548\pi\)
\(840\) 2888.22 3333.19i 0.118635 0.136912i
\(841\) −20994.6 −0.860824
\(842\) 26097.5 1.06815
\(843\) −7190.60 + 8298.39i −0.293781 + 0.339041i
\(844\) −30854.0 67560.9i −1.25834 2.75538i
\(845\) −2854.45 1834.45i −0.116209 0.0746827i
\(846\) −2124.42 2451.71i −0.0863346 0.0996354i
\(847\) 2870.33 + 1844.65i 0.116441 + 0.0748323i
\(848\) 17877.1 + 124338.i 0.723941 + 5.03512i
\(849\) −1169.00 + 8130.55i −0.0472554 + 0.328669i
\(850\) −18239.9 39939.8i −0.736028 1.61168i
\(851\) 722.202 + 5023.02i 0.0290914 + 0.202335i
\(852\) 28697.0 + 8426.21i 1.15393 + 0.338823i
\(853\) −8633.45 + 5548.38i −0.346546 + 0.222712i −0.702322 0.711860i \(-0.747853\pi\)
0.355776 + 0.934571i \(0.384217\pi\)
\(854\) −51955.3 33389.7i −2.08182 1.33790i
\(855\) 105.194 230.342i 0.00420765 0.00921348i
\(856\) 12444.8 + 3654.13i 0.496911 + 0.145906i
\(857\) −21615.4 + 13891.4i −0.861572 + 0.553699i −0.895164 0.445737i \(-0.852942\pi\)
0.0335920 + 0.999436i \(0.489305\pi\)
\(858\) −3660.69 4224.67i −0.145657 0.168098i
\(859\) 13055.5 + 15066.9i 0.518566 + 0.598457i 0.953271 0.302116i \(-0.0976930\pi\)
−0.434705 + 0.900573i \(0.643148\pi\)
\(860\) 3502.03 7668.39i 0.138859 0.304058i
\(861\) 880.129 6121.43i 0.0348371 0.242297i
\(862\) −42028.4 + 12340.7i −1.66067 + 0.487615i
\(863\) −7577.92 + 8745.38i −0.298905 + 0.344955i −0.885258 0.465101i \(-0.846018\pi\)
0.586352 + 0.810056i \(0.300563\pi\)
\(864\) −14845.4 + 4358.99i −0.584548 + 0.171639i
\(865\) 2958.01 + 6477.14i 0.116272 + 0.254600i
\(866\) 25862.2 56630.2i 1.01482 2.22214i
\(867\) 1211.11 778.330i 0.0474409 0.0304884i
\(868\) 6454.74 + 44893.7i 0.252406 + 1.75552i
\(869\) −28849.6 + 8471.00i −1.12619 + 0.330678i
\(870\) 1533.23 0.0597487
\(871\) −1292.84 5663.16i −0.0502940 0.220309i
\(872\) 123962. 4.81408
\(873\) −10937.6 + 3211.57i −0.424034 + 0.124508i
\(874\) 807.785 + 5618.27i 0.0312629 + 0.217438i
\(875\) 4349.04 2794.96i 0.168028 0.107985i
\(876\) 8016.01 17552.6i 0.309173 0.676995i
\(877\) −13852.1 30331.8i −0.533354 1.16788i −0.964132 0.265424i \(-0.914488\pi\)
0.430778 0.902458i \(-0.358239\pi\)
\(878\) −21929.8 + 6439.18i −0.842934 + 0.247508i
\(879\) −6489.87 + 7489.71i −0.249030 + 0.287396i
\(880\) 10740.4 3153.67i 0.411431 0.120807i
\(881\) −2097.87 + 14591.0i −0.0802260 + 0.557984i 0.909576 + 0.415537i \(0.136406\pi\)
−0.989802 + 0.142447i \(0.954503\pi\)
\(882\) 3588.76 7858.28i 0.137006 0.300002i
\(883\) 29138.7 + 33627.9i 1.11053 + 1.28162i 0.955915 + 0.293644i \(0.0948679\pi\)
0.154614 + 0.987975i \(0.450587\pi\)
\(884\) −9721.80 11219.6i −0.369886 0.426872i
\(885\) −3218.01 + 2068.09i −0.122228 + 0.0785515i
\(886\) 44296.6 + 13006.6i 1.67965 + 0.493191i
\(887\) −121.684 + 266.451i −0.00460625 + 0.0100863i −0.911921 0.410365i \(-0.865401\pi\)
0.907315 + 0.420452i \(0.138128\pi\)
\(888\) −14788.7 9504.14i −0.558871 0.359165i
\(889\) 12383.6 7958.46i 0.467191 0.300245i
\(890\) 1305.13 + 383.222i 0.0491553 + 0.0144333i
\(891\) 376.246 + 2616.85i 0.0141467 + 0.0983926i
\(892\) −827.801 1812.63i −0.0310727 0.0680397i
\(893\) 164.534 1144.36i 0.00616565 0.0428830i
\(894\) 6168.83 + 42905.2i 0.230779 + 1.60511i
\(895\) −3121.09 2005.80i −0.116566 0.0749123i
\(896\) −25032.7 28889.3i −0.933352 1.07715i
\(897\) 1628.40 + 1046.51i 0.0606138 + 0.0389542i
\(898\) 26126.5 + 57209.1i 0.970883 + 2.12594i
\(899\) −6401.31 + 7387.51i −0.237481 + 0.274068i
\(900\) −23180.1 −0.858522
\(901\) 39690.7 1.46758
\(902\) 18493.4 21342.5i 0.682663 0.787835i
\(903\) −1349.08 + 9383.05i −0.0497171 + 0.345790i
\(904\) −20570.5 6040.03i −0.756818 0.222222i
\(905\) 4939.98 + 1450.51i 0.181448 + 0.0532780i
\(906\) −6301.03 + 43824.6i −0.231057 + 1.60704i
\(907\) −4626.97 + 5339.81i −0.169389 + 0.195485i −0.834097 0.551618i \(-0.814011\pi\)
0.664708 + 0.747104i \(0.268556\pi\)
\(908\) 8493.99 0.310444
\(909\) −3071.97 −0.112091
\(910\) 781.371 901.751i 0.0284640 0.0328492i
\(911\) 2024.27 + 4432.54i 0.0736193 + 0.161204i 0.942864 0.333179i \(-0.108121\pi\)
−0.869244 + 0.494383i \(0.835394\pi\)
\(912\) −9193.80 5908.49i −0.333812 0.214528i
\(913\) 31370.1 + 36203.0i 1.13713 + 1.31232i
\(914\) 47768.2 + 30698.7i 1.72870 + 1.11097i
\(915\) −620.019 4312.32i −0.0224013 0.155804i
\(916\) −3835.63 + 26677.4i −0.138355 + 0.962278i
\(917\) −5661.01 12395.9i −0.203864 0.446399i
\(918\) 1378.94 + 9590.76i 0.0495772 + 0.344817i
\(919\) −20236.4 5941.94i −0.726373 0.213282i −0.102417 0.994742i \(-0.532658\pi\)
−0.623956 + 0.781459i \(0.714476\pi\)
\(920\) −5866.77 + 3770.34i −0.210241 + 0.135114i
\(921\) 10082.2 + 6479.44i 0.360717 + 0.231818i
\(922\) −2712.16 + 5938.81i −0.0968768 + 0.212131i
\(923\) 4813.15 + 1413.27i 0.171643 + 0.0503991i
\(924\) −22267.5 + 14310.5i −0.792801 + 0.509502i
\(925\) −6674.70 7703.01i −0.237257 0.273809i
\(926\) −56739.2 65480.6i −2.01357 2.32379i
\(927\) −4104.20 + 8986.94i −0.145415 + 0.318414i
\(928\) 4751.32 33046.2i 0.168071 1.16896i
\(929\) 33984.6 9978.78i 1.20021 0.352415i 0.380279 0.924872i \(-0.375828\pi\)
0.819935 + 0.572457i \(0.194010\pi\)
\(930\) −2891.47 + 3336.94i −0.101952 + 0.117659i
\(931\) 2954.05 867.388i 0.103990 0.0305344i
\(932\) −44882.5 98279.1i −1.57744 3.45412i
\(933\) −2690.26 + 5890.85i −0.0944001 + 0.206707i
\(934\) 41958.6 26965.2i 1.46994 0.944675i
\(935\) −503.352 3500.89i −0.0176057 0.122451i
\(936\) −6433.85 + 1889.15i −0.224676 + 0.0659709i
\(937\) −45788.2 −1.59641 −0.798205 0.602386i \(-0.794217\pi\)
−0.798205 + 0.602386i \(0.794217\pi\)
\(938\) −37832.3 + 3095.61i −1.31692 + 0.107756i
\(939\) −30603.7 −1.06359
\(940\) 2198.40 645.510i 0.0762809 0.0223981i
\(941\) −3464.27 24094.5i −0.120013 0.834706i −0.957538 0.288307i \(-0.906908\pi\)
0.837525 0.546398i \(-0.184002\pi\)
\(942\) 32018.5 20577.0i 1.10745 0.711716i
\(943\) −4062.27 + 8895.13i −0.140282 + 0.307174i
\(944\) 68581.0 + 150171.i 2.36453 + 5.17761i
\(945\) −541.449 + 158.984i −0.0186385 + 0.00547275i
\(946\) −28347.0 + 32714.2i −0.974250 + 1.12434i
\(947\) −16361.1 + 4804.07i −0.561421 + 0.164848i −0.550116 0.835088i \(-0.685417\pi\)
−0.0113047 + 0.999936i \(0.503598\pi\)
\(948\) −8279.36 + 57584.2i −0.283651 + 1.97284i
\(949\) 1344.47 2943.98i 0.0459887 0.100701i
\(950\) −7465.67 8615.85i −0.254967 0.294247i
\(951\) −16840.2 19434.6i −0.574216 0.662680i
\(952\) −50595.5 + 32515.8i −1.72249 + 1.10698i
\(953\) −20982.8 6161.11i −0.713221 0.209421i −0.0950595 0.995472i \(-0.530304\pi\)
−0.618162 + 0.786051i \(0.712122\pi\)
\(954\) 12012.6 26303.9i 0.407675 0.892684i
\(955\) −4002.22 2572.07i −0.135611 0.0871522i
\(956\) −26471.8 + 17012.4i −0.895563 + 0.575543i
\(957\) −5473.67 1607.21i −0.184889 0.0542883i
\(958\) −11090.1 77133.5i −0.374014 2.60133i
\(959\) −16337.5 35774.2i −0.550122 1.20460i
\(960\) 974.776 6779.72i 0.0327716 0.227932i
\(961\) 233.497 + 1624.01i 0.00783784 + 0.0545134i
\(962\) −4000.90 2571.22i −0.134090 0.0861742i
\(963\) −1086.75 1254.18i −0.0363656 0.0419682i
\(964\) 81548.1 + 52407.8i 2.72457 + 1.75098i
\(965\) −150.648 329.873i −0.00502541 0.0110041i
\(966\) 8283.31 9559.45i 0.275891 0.318396i
\(967\) −10259.6 −0.341186 −0.170593 0.985342i \(-0.554568\pi\)
−0.170593 + 0.985342i \(0.554568\pi\)
\(968\) 18689.2 0.620552
\(969\) −2261.31 + 2609.69i −0.0749676 + 0.0865172i
\(970\) 1581.23 10997.7i 0.0523405 0.364036i
\(971\) 40042.1 + 11757.4i 1.32339 + 0.388583i 0.865715 0.500537i \(-0.166864\pi\)
0.457676 + 0.889119i \(0.348682\pi\)
\(972\) 4908.09 + 1441.15i 0.161962 + 0.0475563i
\(973\) −2488.81 + 17310.0i −0.0820015 + 0.570333i
\(974\) −32129.5 + 37079.4i −1.05698 + 1.21981i
\(975\) −3887.84 −0.127703
\(976\) −188025. −6.16653
\(977\) 29020.4 33491.3i 0.950302 1.09671i −0.0449127 0.998991i \(-0.514301\pi\)
0.995214 0.0977156i \(-0.0311536\pi\)
\(978\) 7573.91 + 16584.6i 0.247635 + 0.542245i
\(979\) −4257.65 2736.22i −0.138994 0.0893259i
\(980\) 3995.63 + 4611.20i 0.130240 + 0.150306i
\(981\) −13342.9 8574.93i −0.434256 0.279079i
\(982\) 12430.5 + 86455.9i 0.403944 + 2.80949i
\(983\) −899.112 + 6253.46i −0.0291732 + 0.202904i −0.999195 0.0401134i \(-0.987228\pi\)
0.970022 + 0.243017i \(0.0781372\pi\)
\(984\) −14072.3 30814.0i −0.455902 0.998287i
\(985\) 245.722 + 1709.04i 0.00794859 + 0.0552836i
\(986\) −20061.0 5890.44i −0.647944 0.190253i
\(987\) −2167.41 + 1392.91i −0.0698982 + 0.0449208i
\(988\) −3242.68 2083.95i −0.104417 0.0671044i
\(989\) 6226.72 13634.6i 0.200201 0.438378i
\(990\) −2472.46 725.979i −0.0793736 0.0233062i
\(991\) −8016.33 + 5151.79i −0.256960 + 0.165138i −0.662778 0.748816i \(-0.730623\pi\)
0.405819 + 0.913954i \(0.366987\pi\)
\(992\) 62961.6 + 72661.6i 2.01515 + 2.32561i
\(993\) −6558.47 7568.87i −0.209594 0.241884i
\(994\) 13617.3 29817.8i 0.434522 0.951471i
\(995\) 456.138 3172.51i 0.0145332 0.101081i
\(996\) 88931.9 26112.8i 2.82923 0.830738i
\(997\) 13985.6 16140.2i 0.444261 0.512704i −0.488813 0.872388i \(-0.662570\pi\)
0.933074 + 0.359684i \(0.117115\pi\)
\(998\) −81525.1 + 23937.9i −2.58580 + 0.759260i
\(999\) 934.374 + 2045.99i 0.0295919 + 0.0647971i
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.22.17 170
67.64 even 11 inner 201.4.i.b.64.17 yes 170
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
201.4.i.b.22.17 170 1.1 even 1 trivial
201.4.i.b.64.17 yes 170 67.64 even 11 inner