Properties

Label 71.2.g.a.16.4
Level $71$
Weight $2$
Character 71.16
Analytic conductor $0.567$
Analytic rank $0$
Dimension $120$
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] = [71,2,Mod(2,71)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(71, base_ring=CyclotomicField(70))
 
chi = DirichletCharacter(H, H._module([6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("71.2");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 71 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 71.g (of order \(35\), degree \(24\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(0.566937854351\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(5\) over \(\Q(\zeta_{35})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{35}]$

Embedding invariants

Embedding label 16.4
Character \(\chi\) \(=\) 71.16
Dual form 71.2.g.a.40.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.855091 + 0.155176i) q^{2} +(1.08384 - 0.299122i) q^{3} +(-1.16537 - 0.437370i) q^{4} +(-0.0956992 + 0.294532i) q^{5} +(0.973202 - 0.0875897i) q^{6} +(0.492368 + 0.914973i) q^{7} +(-2.42071 - 1.44631i) q^{8} +(-1.49010 + 0.890295i) q^{9} +O(q^{10})\) \(q+(0.855091 + 0.155176i) q^{2} +(1.08384 - 0.299122i) q^{3} +(-1.16537 - 0.437370i) q^{4} +(-0.0956992 + 0.294532i) q^{5} +(0.973202 - 0.0875897i) q^{6} +(0.492368 + 0.914973i) q^{7} +(-2.42071 - 1.44631i) q^{8} +(-1.49010 + 0.890295i) q^{9} +(-0.127536 + 0.237001i) q^{10} +(-0.439406 + 1.02804i) q^{11} +(-1.39391 - 0.125454i) q^{12} +(-0.459789 - 1.07573i) q^{13} +(0.279038 + 0.858789i) q^{14} +(-0.0156221 + 0.347852i) q^{15} +(0.0292626 + 0.0255660i) q^{16} +(2.35973 - 1.71444i) q^{17} +(-1.41233 + 0.530055i) q^{18} +(-0.0701640 - 1.56232i) q^{19} +(0.240344 - 0.301382i) q^{20} +(0.807339 + 0.844410i) q^{21} +(-0.535259 + 0.810883i) q^{22} +(-4.59556 - 2.21310i) q^{23} +(-3.05629 - 0.843483i) q^{24} +(3.96749 + 2.88255i) q^{25} +(-0.226234 - 0.991195i) q^{26} +(-3.67975 + 3.84871i) q^{27} +(-0.173608 - 1.28163i) q^{28} +(0.540678 + 0.819093i) q^{29} +(-0.0673367 + 0.295021i) q^{30} +(6.20260 - 5.41905i) q^{31} +(3.53737 + 4.43572i) q^{32} +(-0.168738 + 1.24567i) q^{33} +(2.28382 - 1.09983i) q^{34} +(-0.316608 + 0.0574559i) q^{35} +(2.12591 - 0.385795i) q^{36} +(7.16273 - 3.44939i) q^{37} +(0.182439 - 1.34682i) q^{38} +(-0.820114 - 1.02839i) q^{39} +(0.657643 - 0.574566i) q^{40} +(-2.17354 + 9.52291i) q^{41} +(0.559316 + 0.847327i) q^{42} +(-0.0638595 - 0.471430i) q^{43} +(0.961705 - 1.00586i) q^{44} +(-0.119619 - 0.524083i) q^{45} +(-3.58620 - 2.60552i) q^{46} +(-2.69699 - 0.744323i) q^{47} +(0.0393635 + 0.0189565i) q^{48} +(3.26153 - 4.94101i) q^{49} +(2.94526 + 3.08051i) q^{50} +(2.04475 - 2.56404i) q^{51} +(0.0653316 + 1.45472i) q^{52} +(-4.16921 + 1.56473i) q^{53} +(-3.74375 + 2.71999i) q^{54} +(-0.260740 - 0.227802i) q^{55} +(0.131452 - 2.92700i) q^{56} +(-0.543372 - 1.67233i) q^{57} +(0.335225 + 0.784299i) q^{58} +(-6.33138 - 0.569835i) q^{59} +(0.170346 - 0.398544i) q^{60} +(-3.68231 + 6.84288i) q^{61} +(6.14469 - 3.67128i) q^{62} +(-1.54828 - 0.925051i) q^{63} +(2.29963 + 4.27342i) q^{64} +(0.360838 - 0.0324760i) q^{65} +(-0.337585 + 1.03898i) q^{66} +(-7.92815 - 2.97548i) q^{67} +(-3.49980 + 0.965884i) q^{68} +(-5.64285 - 1.02403i) q^{69} -0.279644 q^{70} +(-8.33511 - 1.23527i) q^{71} +4.89474 q^{72} +(5.30748 + 0.963165i) q^{73} +(6.66005 - 1.83806i) q^{74} +(5.16238 + 1.93747i) q^{75} +(-0.601547 + 1.85137i) q^{76} +(-1.15698 + 0.104130i) q^{77} +(-0.541690 - 1.00663i) q^{78} +(-10.9626 - 6.54986i) q^{79} +(-0.0103304 + 0.00617213i) q^{80} +(-0.369402 + 0.686465i) q^{81} +(-3.33631 + 7.80568i) q^{82} +(-4.71891 - 0.424710i) q^{83} +(-0.571528 - 1.33716i) q^{84} +(0.279134 + 0.859087i) q^{85} +(0.0185490 - 0.413025i) q^{86} +(0.831020 + 0.726040i) q^{87} +(2.55054 - 1.85307i) q^{88} +(-4.50816 + 1.69194i) q^{89} +(-0.0209596 - 0.466701i) q^{90} +(0.757879 - 0.950350i) q^{91} +(4.38757 + 4.58904i) q^{92} +(5.10169 - 7.72874i) q^{93} +(-2.19067 - 1.05497i) q^{94} +(0.466869 + 0.128848i) q^{95} +(5.16078 + 3.74952i) q^{96} +(4.04571 + 17.7254i) q^{97} +(3.55563 - 3.71890i) q^{98} +(-0.260500 - 1.92309i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q - 22 q^{2} - 20 q^{3} - 18 q^{4} - 20 q^{5} - 20 q^{6} - 27 q^{7} - 27 q^{8} - 11 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q - 22 q^{2} - 20 q^{3} - 18 q^{4} - 20 q^{5} - 20 q^{6} - 27 q^{7} - 27 q^{8} - 11 q^{9} - 8 q^{10} - 27 q^{11} + 3 q^{12} - 31 q^{13} + 2 q^{14} + 12 q^{15} + 30 q^{16} + 9 q^{17} + 27 q^{18} - 31 q^{19} + 72 q^{20} - 32 q^{21} - 24 q^{22} - 6 q^{23} - 47 q^{24} - 42 q^{25} + 77 q^{26} - 2 q^{27} - 18 q^{28} + q^{29} + 15 q^{30} + 15 q^{31} - 10 q^{32} - 24 q^{33} + 20 q^{34} + 74 q^{35} + 8 q^{36} - 22 q^{37} - 39 q^{38} + 86 q^{39} - 30 q^{40} + 39 q^{41} - 34 q^{42} + 33 q^{43} - 23 q^{44} + 121 q^{45} + 124 q^{46} + 6 q^{47} + 131 q^{48} - 22 q^{49} - 15 q^{50} + 29 q^{51} + 83 q^{52} - 30 q^{53} - 25 q^{54} + 32 q^{55} + 11 q^{56} - 10 q^{57} + 12 q^{58} - 80 q^{59} + 80 q^{60} - 12 q^{61} - 68 q^{62} - 79 q^{63} - 117 q^{64} - 89 q^{65} - 39 q^{66} - 74 q^{67} - 67 q^{68} - 95 q^{69} - 64 q^{70} - 115 q^{71} - 144 q^{72} - 14 q^{73} - 70 q^{74} - 13 q^{75} + 8 q^{76} + 47 q^{77} - 218 q^{78} - 25 q^{79} - 103 q^{80} - 28 q^{81} - 88 q^{82} - 20 q^{83} - 142 q^{84} + 22 q^{85} + 159 q^{86} - 105 q^{87} + 43 q^{88} + 33 q^{89} + 33 q^{90} + 60 q^{91} - 2 q^{92} + 63 q^{93} + 174 q^{94} + 20 q^{95} - 30 q^{96} + 121 q^{97} + 128 q^{98} - 2 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/71\mathbb{Z}\right)^\times\).

\(n\) \(7\)
\(\chi(n)\) \(e\left(\frac{12}{35}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.855091 + 0.155176i 0.604641 + 0.109726i 0.472240 0.881470i \(-0.343446\pi\)
0.132401 + 0.991196i \(0.457731\pi\)
\(3\) 1.08384 0.299122i 0.625758 0.172698i 0.0612453 0.998123i \(-0.480493\pi\)
0.564512 + 0.825425i \(0.309064\pi\)
\(4\) −1.16537 0.437370i −0.582685 0.218685i
\(5\) −0.0956992 + 0.294532i −0.0427980 + 0.131719i −0.970172 0.242416i \(-0.922060\pi\)
0.927374 + 0.374135i \(0.122060\pi\)
\(6\) 0.973202 0.0875897i 0.397308 0.0357584i
\(7\) 0.492368 + 0.914973i 0.186098 + 0.345827i 0.956501 0.291730i \(-0.0942307\pi\)
−0.770403 + 0.637557i \(0.779945\pi\)
\(8\) −2.42071 1.44631i −0.855850 0.511346i
\(9\) −1.49010 + 0.890295i −0.496701 + 0.296765i
\(10\) −0.127536 + 0.237001i −0.0403304 + 0.0749464i
\(11\) −0.439406 + 1.02804i −0.132486 + 0.309966i −0.972616 0.232419i \(-0.925336\pi\)
0.840130 + 0.542385i \(0.182479\pi\)
\(12\) −1.39391 0.125454i −0.402386 0.0362154i
\(13\) −0.459789 1.07573i −0.127523 0.298354i 0.843585 0.536995i \(-0.180441\pi\)
−0.971108 + 0.238642i \(0.923298\pi\)
\(14\) 0.279038 + 0.858789i 0.0745759 + 0.229521i
\(15\) −0.0156221 + 0.347852i −0.00403360 + 0.0898151i
\(16\) 0.0292626 + 0.0255660i 0.00731566 + 0.00639150i
\(17\) 2.35973 1.71444i 0.572319 0.415814i −0.263628 0.964624i \(-0.584919\pi\)
0.835947 + 0.548811i \(0.184919\pi\)
\(18\) −1.41233 + 0.530055i −0.332888 + 0.124935i
\(19\) −0.0701640 1.56232i −0.0160967 0.358422i −0.990836 0.135074i \(-0.956873\pi\)
0.974739 0.223348i \(-0.0716986\pi\)
\(20\) 0.240344 0.301382i 0.0537426 0.0673911i
\(21\) 0.807339 + 0.844410i 0.176176 + 0.184265i
\(22\) −0.535259 + 0.810883i −0.114118 + 0.172881i
\(23\) −4.59556 2.21310i −0.958239 0.461464i −0.111672 0.993745i \(-0.535621\pi\)
−0.846568 + 0.532281i \(0.821335\pi\)
\(24\) −3.05629 0.843483i −0.623863 0.172175i
\(25\) 3.96749 + 2.88255i 0.793499 + 0.576511i
\(26\) −0.226234 0.991195i −0.0443681 0.194389i
\(27\) −3.67975 + 3.84871i −0.708168 + 0.740685i
\(28\) −0.173608 1.28163i −0.0328089 0.242205i
\(29\) 0.540678 + 0.819093i 0.100401 + 0.152102i 0.881302 0.472554i \(-0.156668\pi\)
−0.780900 + 0.624656i \(0.785239\pi\)
\(30\) −0.0673367 + 0.295021i −0.0122939 + 0.0538633i
\(31\) 6.20260 5.41905i 1.11402 0.973290i 0.114223 0.993455i \(-0.463562\pi\)
0.999797 + 0.0201655i \(0.00641931\pi\)
\(32\) 3.53737 + 4.43572i 0.625324 + 0.784132i
\(33\) −0.168738 + 1.24567i −0.0293735 + 0.216844i
\(34\) 2.28382 1.09983i 0.391673 0.188620i
\(35\) −0.316608 + 0.0574559i −0.0535165 + 0.00971182i
\(36\) 2.12591 0.385795i 0.354318 0.0642992i
\(37\) 7.16273 3.44939i 1.17755 0.567076i 0.260350 0.965514i \(-0.416162\pi\)
0.917195 + 0.398438i \(0.130448\pi\)
\(38\) 0.182439 1.34682i 0.0295955 0.218482i
\(39\) −0.820114 1.02839i −0.131323 0.164674i
\(40\) 0.657643 0.574566i 0.103983 0.0908468i
\(41\) −2.17354 + 9.52291i −0.339450 + 1.48723i 0.460768 + 0.887521i \(0.347574\pi\)
−0.800218 + 0.599709i \(0.795283\pi\)
\(42\) 0.559316 + 0.847327i 0.0863043 + 0.130745i
\(43\) −0.0638595 0.471430i −0.00973848 0.0718923i 0.985428 0.170091i \(-0.0544062\pi\)
−0.995167 + 0.0981987i \(0.968692\pi\)
\(44\) 0.961705 1.00586i 0.144982 0.151640i
\(45\) −0.119619 0.524083i −0.0178317 0.0781257i
\(46\) −3.58620 2.60552i −0.528756 0.384164i
\(47\) −2.69699 0.744323i −0.393397 0.108571i 0.0637411 0.997966i \(-0.479697\pi\)
−0.457138 + 0.889396i \(0.651125\pi\)
\(48\) 0.0393635 + 0.0189565i 0.00568163 + 0.00273613i
\(49\) 3.26153 4.94101i 0.465933 0.705858i
\(50\) 2.94526 + 3.08051i 0.416523 + 0.435649i
\(51\) 2.04475 2.56404i 0.286323 0.359037i
\(52\) 0.0653316 + 1.45472i 0.00905986 + 0.201733i
\(53\) −4.16921 + 1.56473i −0.572685 + 0.214932i −0.620880 0.783906i \(-0.713225\pi\)
0.0481951 + 0.998838i \(0.484653\pi\)
\(54\) −3.74375 + 2.71999i −0.509459 + 0.370144i
\(55\) −0.260740 0.227802i −0.0351582 0.0307168i
\(56\) 0.131452 2.92700i 0.0175660 0.391137i
\(57\) −0.543372 1.67233i −0.0719714 0.221505i
\(58\) 0.335225 + 0.784299i 0.0440173 + 0.102984i
\(59\) −6.33138 0.569835i −0.824276 0.0741862i −0.330533 0.943794i \(-0.607229\pi\)
−0.493743 + 0.869608i \(0.664371\pi\)
\(60\) 0.170346 0.398544i 0.0219915 0.0514518i
\(61\) −3.68231 + 6.84288i −0.471472 + 0.876141i 0.528164 + 0.849142i \(0.322881\pi\)
−0.999635 + 0.0269985i \(0.991405\pi\)
\(62\) 6.14469 3.67128i 0.780377 0.466253i
\(63\) −1.54828 0.925051i −0.195064 0.116546i
\(64\) 2.29963 + 4.27342i 0.287453 + 0.534178i
\(65\) 0.360838 0.0324760i 0.0447565 0.00402816i
\(66\) −0.337585 + 1.03898i −0.0415538 + 0.127889i
\(67\) −7.92815 2.97548i −0.968578 0.363513i −0.183575 0.983006i \(-0.558767\pi\)
−0.785003 + 0.619492i \(0.787338\pi\)
\(68\) −3.49980 + 0.965884i −0.424414 + 0.117131i
\(69\) −5.64285 1.02403i −0.679320 0.123278i
\(70\) −0.279644 −0.0334239
\(71\) −8.33511 1.23527i −0.989196 0.146599i
\(72\) 4.89474 0.576851
\(73\) 5.30748 + 0.963165i 0.621193 + 0.112730i 0.480024 0.877256i \(-0.340628\pi\)
0.141169 + 0.989985i \(0.454914\pi\)
\(74\) 6.66005 1.83806i 0.774215 0.213670i
\(75\) 5.16238 + 1.93747i 0.596100 + 0.223720i
\(76\) −0.601547 + 1.85137i −0.0690022 + 0.212367i
\(77\) −1.15698 + 0.104130i −0.131850 + 0.0118667i
\(78\) −0.541690 1.00663i −0.0613344 0.113978i
\(79\) −10.9626 6.54986i −1.23339 0.736916i −0.259898 0.965636i \(-0.583689\pi\)
−0.973492 + 0.228720i \(0.926546\pi\)
\(80\) −0.0103304 + 0.00617213i −0.00115498 + 0.000690066i
\(81\) −0.369402 + 0.686465i −0.0410447 + 0.0762738i
\(82\) −3.33631 + 7.80568i −0.368433 + 0.861993i
\(83\) −4.71891 0.424710i −0.517968 0.0466180i −0.172428 0.985022i \(-0.555161\pi\)
−0.345540 + 0.938404i \(0.612304\pi\)
\(84\) −0.571528 1.33716i −0.0623588 0.145896i
\(85\) 0.279134 + 0.859087i 0.0302764 + 0.0931811i
\(86\) 0.0185490 0.413025i 0.00200019 0.0445376i
\(87\) 0.831020 + 0.726040i 0.0890947 + 0.0778397i
\(88\) 2.55054 1.85307i 0.271888 0.197538i
\(89\) −4.50816 + 1.69194i −0.477864 + 0.179345i −0.578672 0.815561i \(-0.696429\pi\)
0.100808 + 0.994906i \(0.467857\pi\)
\(90\) −0.0209596 0.466701i −0.00220933 0.0491946i
\(91\) 0.757879 0.950350i 0.0794473 0.0996238i
\(92\) 4.38757 + 4.58904i 0.457436 + 0.478441i
\(93\) 5.10169 7.72874i 0.529021 0.801433i
\(94\) −2.19067 1.05497i −0.225951 0.108812i
\(95\) 0.466869 + 0.128848i 0.0478997 + 0.0132195i
\(96\) 5.16078 + 3.74952i 0.526719 + 0.382684i
\(97\) 4.04571 + 17.7254i 0.410780 + 1.79974i 0.580511 + 0.814252i \(0.302853\pi\)
−0.169731 + 0.985490i \(0.554290\pi\)
\(98\) 3.55563 3.71890i 0.359173 0.375665i
\(99\) −0.260500 1.92309i −0.0261812 0.193278i
\(100\) −3.36285 5.09450i −0.336285 0.509450i
\(101\) 3.06204 13.4157i 0.304684 1.33491i −0.558284 0.829650i \(-0.688540\pi\)
0.862968 0.505259i \(-0.168603\pi\)
\(102\) 2.14633 1.87519i 0.212518 0.185671i
\(103\) 4.80496 + 6.02523i 0.473447 + 0.593683i 0.960011 0.279961i \(-0.0903216\pi\)
−0.486565 + 0.873645i \(0.661750\pi\)
\(104\) −0.442820 + 3.26903i −0.0434220 + 0.320554i
\(105\) −0.325968 + 0.156978i −0.0318112 + 0.0153195i
\(106\) −3.80786 + 0.691025i −0.369852 + 0.0671183i
\(107\) 19.0911 3.46453i 1.84561 0.334929i 0.860852 0.508856i \(-0.169931\pi\)
0.984759 + 0.173927i \(0.0556456\pi\)
\(108\) 5.97158 2.87576i 0.574615 0.276720i
\(109\) 1.22145 9.01712i 0.116994 0.863684i −0.833408 0.552659i \(-0.813613\pi\)
0.950402 0.311025i \(-0.100672\pi\)
\(110\) −0.187607 0.235252i −0.0178876 0.0224304i
\(111\) 6.73149 5.88113i 0.638925 0.558212i
\(112\) −0.00898422 + 0.0393624i −0.000848929 + 0.00371940i
\(113\) 7.80587 + 11.8254i 0.734315 + 1.11244i 0.989357 + 0.145509i \(0.0464821\pi\)
−0.255042 + 0.966930i \(0.582089\pi\)
\(114\) −0.205127 1.51431i −0.0192119 0.141828i
\(115\) 1.09162 1.14175i 0.101794 0.106468i
\(116\) −0.271843 1.19102i −0.0252400 0.110584i
\(117\) 1.64285 + 1.19360i 0.151882 + 0.110348i
\(118\) −5.32548 1.46974i −0.490250 0.135301i
\(119\) 2.73053 + 1.31495i 0.250307 + 0.120542i
\(120\) 0.540918 0.819455i 0.0493788 0.0748057i
\(121\) 6.73790 + 7.04729i 0.612536 + 0.640663i
\(122\) −4.21056 + 5.27988i −0.381206 + 0.478018i
\(123\) 0.492731 + 10.9715i 0.0444281 + 0.989268i
\(124\) −9.59845 + 3.60236i −0.861966 + 0.323501i
\(125\) −2.48141 + 1.80285i −0.221944 + 0.161252i
\(126\) −1.18037 1.03126i −0.105156 0.0918718i
\(127\) 0.499941 11.1321i 0.0443626 0.987810i −0.846176 0.532903i \(-0.821101\pi\)
0.890539 0.454907i \(-0.150328\pi\)
\(128\) −2.20316 6.78062i −0.194733 0.599328i
\(129\) −0.210229 0.491854i −0.0185096 0.0433054i
\(130\) 0.313589 + 0.0282235i 0.0275036 + 0.00247537i
\(131\) −4.72882 + 11.0636i −0.413159 + 0.966634i 0.575684 + 0.817672i \(0.304736\pi\)
−0.988843 + 0.148961i \(0.952407\pi\)
\(132\) 0.741462 1.37787i 0.0645360 0.119928i
\(133\) 1.39494 0.833437i 0.120956 0.0722681i
\(134\) −6.31756 3.77457i −0.545754 0.326073i
\(135\) −0.781420 1.45212i −0.0672539 0.124979i
\(136\) −8.19183 + 0.737278i −0.702444 + 0.0632211i
\(137\) 0.454341 1.39832i 0.0388169 0.119466i −0.929770 0.368140i \(-0.879995\pi\)
0.968587 + 0.248674i \(0.0799947\pi\)
\(138\) −4.66625 1.75127i −0.397217 0.149078i
\(139\) −13.7882 + 3.80531i −1.16950 + 0.322762i −0.796250 0.604967i \(-0.793186\pi\)
−0.373253 + 0.927730i \(0.621758\pi\)
\(140\) 0.394095 + 0.0715177i 0.0333071 + 0.00604435i
\(141\) −3.14576 −0.264921
\(142\) −6.93559 2.34968i −0.582022 0.197181i
\(143\) 1.30793 0.109375
\(144\) −0.0663656 0.0120436i −0.00553047 0.00100363i
\(145\) −0.292991 + 0.0808605i −0.0243316 + 0.00671510i
\(146\) 4.38891 + 1.64719i 0.363229 + 0.136322i
\(147\) 2.05703 6.33087i 0.169661 0.522162i
\(148\) −9.85588 + 0.887045i −0.810148 + 0.0729147i
\(149\) −9.05734 16.8314i −0.742006 1.37888i −0.918837 0.394637i \(-0.870870\pi\)
0.176831 0.984241i \(-0.443415\pi\)
\(150\) 4.11365 + 2.45779i 0.335878 + 0.200678i
\(151\) −1.18624 + 0.708748i −0.0965352 + 0.0576771i −0.560355 0.828252i \(-0.689335\pi\)
0.463820 + 0.885929i \(0.346478\pi\)
\(152\) −2.08975 + 3.88341i −0.169501 + 0.314986i
\(153\) −1.98988 + 4.65555i −0.160872 + 0.376379i
\(154\) −1.00548 0.0904950i −0.0810240 0.00729229i
\(155\) 1.00250 + 2.34546i 0.0805226 + 0.188392i
\(156\) 0.505948 + 1.55715i 0.0405083 + 0.124672i
\(157\) −0.745908 + 16.6089i −0.0595299 + 1.32554i 0.717715 + 0.696337i \(0.245188\pi\)
−0.777244 + 0.629199i \(0.783383\pi\)
\(158\) −8.35765 7.30186i −0.664899 0.580905i
\(159\) −4.05073 + 2.94302i −0.321243 + 0.233397i
\(160\) −1.64498 + 0.617373i −0.130047 + 0.0488076i
\(161\) −0.237775 5.29447i −0.0187393 0.417263i
\(162\) −0.422395 + 0.529667i −0.0331865 + 0.0416146i
\(163\) 9.09137 + 9.50883i 0.712091 + 0.744789i 0.975525 0.219889i \(-0.0705694\pi\)
−0.263434 + 0.964677i \(0.584855\pi\)
\(164\) 6.69802 10.1471i 0.523027 0.792353i
\(165\) −0.350742 0.168909i −0.0273052 0.0131495i
\(166\) −3.96919 1.09543i −0.308069 0.0850217i
\(167\) 9.78655 + 7.11034i 0.757306 + 0.550215i 0.898083 0.439827i \(-0.144960\pi\)
−0.140777 + 0.990041i \(0.544960\pi\)
\(168\) −0.733057 3.21173i −0.0565565 0.247790i
\(169\) 8.03803 8.40712i 0.618310 0.646701i
\(170\) 0.105375 + 0.777912i 0.00808192 + 0.0596631i
\(171\) 1.49548 + 2.26556i 0.114362 + 0.173251i
\(172\) −0.131769 + 0.577320i −0.0100473 + 0.0440202i
\(173\) 5.09550 4.45180i 0.387404 0.338464i −0.442100 0.896966i \(-0.645766\pi\)
0.829504 + 0.558502i \(0.188624\pi\)
\(174\) 0.597933 + 0.749785i 0.0453292 + 0.0568410i
\(175\) −0.683992 + 5.04943i −0.0517049 + 0.381701i
\(176\) −0.0391411 + 0.0188494i −0.00295037 + 0.00142082i
\(177\) −7.03268 + 1.27624i −0.528609 + 0.0959283i
\(178\) −4.11744 + 0.747204i −0.308615 + 0.0560053i
\(179\) 18.5450 8.93081i 1.38612 0.667520i 0.415824 0.909445i \(-0.363493\pi\)
0.970295 + 0.241925i \(0.0777788\pi\)
\(180\) −0.0898187 + 0.663068i −0.00669469 + 0.0494222i
\(181\) −13.2681 16.6376i −0.986208 1.23667i −0.971565 0.236773i \(-0.923910\pi\)
−0.0146429 0.999893i \(-0.504661\pi\)
\(182\) 0.795527 0.695031i 0.0589684 0.0515191i
\(183\) −1.94419 + 8.51807i −0.143719 + 0.629674i
\(184\) 7.92368 + 12.0039i 0.584141 + 0.884936i
\(185\) 0.330487 + 2.43976i 0.0242979 + 0.179374i
\(186\) 5.56173 5.81711i 0.407806 0.426531i
\(187\) 0.725640 + 3.17924i 0.0530641 + 0.232489i
\(188\) 2.81745 + 2.04699i 0.205483 + 0.149292i
\(189\) −5.33326 1.47189i −0.387938 0.107064i
\(190\) 0.379221 + 0.182623i 0.0275116 + 0.0132489i
\(191\) 3.09687 4.69155i 0.224081 0.339469i −0.705090 0.709118i \(-0.749093\pi\)
0.929171 + 0.369649i \(0.120522\pi\)
\(192\) 3.77071 + 3.94385i 0.272128 + 0.284623i
\(193\) 8.96049 11.2361i 0.644990 0.808792i −0.346627 0.938003i \(-0.612673\pi\)
0.991617 + 0.129211i \(0.0412445\pi\)
\(194\) 0.708889 + 15.7846i 0.0508952 + 1.13327i
\(195\) 0.381378 0.143134i 0.0273111 0.0102500i
\(196\) −5.96193 + 4.33160i −0.425852 + 0.309400i
\(197\) 0.00389092 + 0.00339939i 0.000277216 + 0.000242197i 0.658077 0.752950i \(-0.271370\pi\)
−0.657800 + 0.753193i \(0.728513\pi\)
\(198\) 0.0756662 1.68484i 0.00537736 0.119736i
\(199\) 4.29152 + 13.2080i 0.304218 + 0.936287i 0.979968 + 0.199156i \(0.0638200\pi\)
−0.675750 + 0.737131i \(0.736180\pi\)
\(200\) −5.43509 12.7160i −0.384319 0.899159i
\(201\) −9.48291 0.853477i −0.668873 0.0601996i
\(202\) 4.70011 10.9965i 0.330699 0.773708i
\(203\) −0.483235 + 0.898002i −0.0339165 + 0.0630274i
\(204\) −3.50432 + 2.09374i −0.245352 + 0.146591i
\(205\) −2.59680 1.55151i −0.181368 0.108362i
\(206\) 3.17371 + 5.89773i 0.221123 + 0.410915i
\(207\) 8.81816 0.793649i 0.612905 0.0551624i
\(208\) 0.0140475 0.0432337i 0.000974017 0.00299772i
\(209\) 1.63696 + 0.614363i 0.113231 + 0.0424964i
\(210\) −0.303091 + 0.0836478i −0.0209153 + 0.00577225i
\(211\) −11.8589 2.15207i −0.816401 0.148155i −0.245735 0.969337i \(-0.579029\pi\)
−0.570666 + 0.821182i \(0.693315\pi\)
\(212\) 5.54303 0.380697
\(213\) −9.40346 + 1.15438i −0.644314 + 0.0790966i
\(214\) 16.8623 1.15268
\(215\) 0.144962 + 0.0263068i 0.00988635 + 0.00179411i
\(216\) 14.4740 3.99457i 0.984832 0.271796i
\(217\) 8.01225 + 3.00705i 0.543907 + 0.204132i
\(218\) 2.44370 7.52092i 0.165508 0.509381i
\(219\) 6.04058 0.543662i 0.408185 0.0367373i
\(220\) 0.204225 + 0.379513i 0.0137688 + 0.0255868i
\(221\) −2.92926 1.75015i −0.197043 0.117728i
\(222\) 6.66865 3.98433i 0.447570 0.267411i
\(223\) −2.42596 + 4.50819i −0.162454 + 0.301891i −0.948789 0.315910i \(-0.897690\pi\)
0.786335 + 0.617800i \(0.211976\pi\)
\(224\) −2.31688 + 5.42060i −0.154803 + 0.362179i
\(225\) −8.47829 0.763060i −0.565220 0.0508707i
\(226\) 4.83971 + 11.3231i 0.321933 + 0.753199i
\(227\) −6.94997 21.3898i −0.461286 1.41969i −0.863595 0.504187i \(-0.831792\pi\)
0.402309 0.915504i \(-0.368208\pi\)
\(228\) −0.0981973 + 2.18653i −0.00650328 + 0.144807i
\(229\) −2.14727 1.87602i −0.141896 0.123971i 0.584064 0.811707i \(-0.301462\pi\)
−0.725960 + 0.687737i \(0.758604\pi\)
\(230\) 1.11061 0.806903i 0.0732312 0.0532056i
\(231\) −1.22284 + 0.458939i −0.0804569 + 0.0301960i
\(232\) −0.124166 2.76477i −0.00815190 0.181516i
\(233\) −5.47020 + 6.85941i −0.358365 + 0.449375i −0.928032 0.372500i \(-0.878501\pi\)
0.569668 + 0.821875i \(0.307072\pi\)
\(234\) 1.21957 + 1.27557i 0.0797256 + 0.0833865i
\(235\) 0.477327 0.723119i 0.0311374 0.0471711i
\(236\) 7.12917 + 3.43323i 0.464069 + 0.223484i
\(237\) −13.8410 3.81986i −0.899068 0.248127i
\(238\) 2.13080 + 1.54812i 0.138119 + 0.100350i
\(239\) 5.22127 + 22.8759i 0.337736 + 1.47972i 0.803764 + 0.594948i \(0.202827\pi\)
−0.466028 + 0.884770i \(0.654316\pi\)
\(240\) −0.00935034 + 0.00977969i −0.000603562 + 0.000631276i
\(241\) −0.471906 3.48375i −0.0303981 0.224408i 0.969378 0.245574i \(-0.0789765\pi\)
−0.999776 + 0.0211659i \(0.993262\pi\)
\(242\) 4.66794 + 7.07163i 0.300067 + 0.454582i
\(243\) 3.35958 14.7193i 0.215517 0.944242i
\(244\) 7.28412 6.36395i 0.466318 0.407410i
\(245\) 1.14316 + 1.43347i 0.0730337 + 0.0915813i
\(246\) −1.28119 + 9.45810i −0.0816855 + 0.603026i
\(247\) −1.64838 + 0.793817i −0.104884 + 0.0505094i
\(248\) −22.8523 + 4.14708i −1.45112 + 0.263340i
\(249\) −5.24161 + 0.951211i −0.332173 + 0.0602806i
\(250\) −2.40159 + 1.15654i −0.151890 + 0.0731463i
\(251\) −0.784287 + 5.78984i −0.0495037 + 0.365451i 0.949205 + 0.314657i \(0.101890\pi\)
−0.998709 + 0.0507941i \(0.983825\pi\)
\(252\) 1.39972 + 1.75520i 0.0881742 + 0.110567i
\(253\) 4.29448 3.75197i 0.269991 0.235884i
\(254\) 2.15492 9.44134i 0.135212 0.592402i
\(255\) 0.559510 + 0.847621i 0.0350379 + 0.0530801i
\(256\) −2.13454 15.7578i −0.133409 0.984865i
\(257\) −1.30313 + 1.36296i −0.0812868 + 0.0850193i −0.762187 0.647357i \(-0.775874\pi\)
0.680900 + 0.732376i \(0.261589\pi\)
\(258\) −0.103441 0.453203i −0.00643993 0.0282152i
\(259\) 6.68280 + 4.85534i 0.415249 + 0.301696i
\(260\) −0.434714 0.119973i −0.0269598 0.00744043i
\(261\) −1.53490 0.739169i −0.0950079 0.0457534i
\(262\) −5.76038 + 8.72661i −0.355878 + 0.539132i
\(263\) 3.19177 + 3.33833i 0.196813 + 0.205850i 0.813836 0.581095i \(-0.197376\pi\)
−0.617023 + 0.786945i \(0.711661\pi\)
\(264\) 2.21009 2.77136i 0.136022 0.170566i
\(265\) −0.0618729 1.37771i −0.00380082 0.0846319i
\(266\) 1.32213 0.496203i 0.0810649 0.0304242i
\(267\) −4.38005 + 3.18229i −0.268054 + 0.194753i
\(268\) 7.93783 + 6.93507i 0.484880 + 0.423627i
\(269\) 0.737192 16.4149i 0.0449474 1.00083i −0.842148 0.539246i \(-0.818709\pi\)
0.887096 0.461586i \(-0.152719\pi\)
\(270\) −0.442851 1.36295i −0.0269510 0.0829467i
\(271\) −6.35393 14.8658i −0.385974 0.903031i −0.994027 0.109135i \(-0.965192\pi\)
0.608053 0.793896i \(-0.291951\pi\)
\(272\) 0.112883 + 0.0101597i 0.00684456 + 0.000616022i
\(273\) 0.537152 1.25673i 0.0325099 0.0760607i
\(274\) 0.605488 1.12518i 0.0365789 0.0679749i
\(275\) −4.70672 + 2.81214i −0.283826 + 0.169578i
\(276\) 6.12813 + 3.66139i 0.368870 + 0.220389i
\(277\) −10.5753 19.6522i −0.635409 1.18079i −0.971068 0.238804i \(-0.923245\pi\)
0.335659 0.941984i \(-0.391041\pi\)
\(278\) −12.3807 + 1.11428i −0.742544 + 0.0668302i
\(279\) −4.41796 + 13.5971i −0.264496 + 0.814036i
\(280\) 0.849515 + 0.318828i 0.0507682 + 0.0190536i
\(281\) −12.4396 + 3.43310i −0.742082 + 0.204802i −0.616581 0.787292i \(-0.711483\pi\)
−0.125502 + 0.992093i \(0.540054\pi\)
\(282\) −2.68991 0.488147i −0.160182 0.0290687i
\(283\) 19.9057 1.18327 0.591637 0.806205i \(-0.298482\pi\)
0.591637 + 0.806205i \(0.298482\pi\)
\(284\) 9.17321 + 5.08507i 0.544330 + 0.301744i
\(285\) 0.544554 0.0322566
\(286\) 1.11840 + 0.202959i 0.0661323 + 0.0120012i
\(287\) −9.78340 + 2.70005i −0.577496 + 0.159379i
\(288\) −9.22014 3.46038i −0.543302 0.203905i
\(289\) −2.62428 + 8.07671i −0.154369 + 0.475100i
\(290\) −0.263082 + 0.0236778i −0.0154487 + 0.00139041i
\(291\) 9.68698 + 18.0014i 0.567861 + 1.05526i
\(292\) −5.76391 3.44377i −0.337307 0.201532i
\(293\) −19.7643 + 11.8086i −1.15464 + 0.689867i −0.956909 0.290389i \(-0.906215\pi\)
−0.197734 + 0.980256i \(0.563358\pi\)
\(294\) 2.74134 5.09427i 0.159878 0.297104i
\(295\) 0.773743 1.81026i 0.0450491 0.105398i
\(296\) −22.3278 2.00953i −1.29777 0.116802i
\(297\) −2.33973 5.47408i −0.135765 0.317638i
\(298\) −5.13302 15.7978i −0.297348 0.915143i
\(299\) −0.267715 + 5.96114i −0.0154824 + 0.344741i
\(300\) −5.16868 4.51574i −0.298414 0.260717i
\(301\) 0.399903 0.290547i 0.0230500 0.0167468i
\(302\) −1.12433 + 0.421967i −0.0646978 + 0.0242815i
\(303\) −0.694148 15.4564i −0.0398778 0.887948i
\(304\) 0.0378892 0.0475115i 0.00217309 0.00272497i
\(305\) −1.66305 1.73942i −0.0952261 0.0995987i
\(306\) −2.42396 + 3.67214i −0.138568 + 0.209922i
\(307\) −20.3876 9.81815i −1.16358 0.560352i −0.250496 0.968118i \(-0.580594\pi\)
−0.913086 + 0.407766i \(0.866308\pi\)
\(308\) 1.39385 + 0.384679i 0.0794221 + 0.0219191i
\(309\) 7.01011 + 5.09314i 0.398791 + 0.289739i
\(310\) 0.493268 + 2.16115i 0.0280157 + 0.122745i
\(311\) 10.2521 10.7229i 0.581345 0.608039i −0.365075 0.930978i \(-0.618957\pi\)
0.946420 + 0.322939i \(0.104671\pi\)
\(312\) 0.497890 + 3.67557i 0.0281875 + 0.208088i
\(313\) 16.4362 + 24.8997i 0.929027 + 1.40742i 0.913187 + 0.407541i \(0.133614\pi\)
0.0158399 + 0.999875i \(0.494958\pi\)
\(314\) −3.21513 + 14.0864i −0.181440 + 0.794941i
\(315\) 0.420626 0.367490i 0.0236996 0.0207057i
\(316\) 9.91078 + 12.4277i 0.557525 + 0.699114i
\(317\) −0.680282 + 5.02205i −0.0382085 + 0.282066i 0.961758 + 0.273900i \(0.0883137\pi\)
−0.999967 + 0.00816624i \(0.997401\pi\)
\(318\) −3.92043 + 1.88798i −0.219847 + 0.105873i
\(319\) −1.07964 + 0.195925i −0.0604481 + 0.0109697i
\(320\) −1.47873 + 0.268350i −0.0826636 + 0.0150012i
\(321\) 19.6555 9.46559i 1.09706 0.528318i
\(322\) 0.618256 4.56415i 0.0344541 0.254350i
\(323\) −2.84409 3.56637i −0.158249 0.198438i
\(324\) 0.730729 0.638419i 0.0405961 0.0354677i
\(325\) 1.27664 5.59332i 0.0708152 0.310262i
\(326\) 6.29840 + 9.54167i 0.348836 + 0.528464i
\(327\) −1.37336 10.1385i −0.0759467 0.560661i
\(328\) 19.0346 19.9086i 1.05101 1.09927i
\(329\) −0.646878 2.83416i −0.0356635 0.156252i
\(330\) −0.273706 0.198859i −0.0150670 0.0109468i
\(331\) −10.7389 2.96375i −0.590265 0.162903i −0.0418710 0.999123i \(-0.513332\pi\)
−0.548394 + 0.836220i \(0.684760\pi\)
\(332\) 5.31352 + 2.55886i 0.291617 + 0.140435i
\(333\) −7.60223 + 11.5169i −0.416599 + 0.631121i
\(334\) 7.26503 + 7.59863i 0.397525 + 0.415778i
\(335\) 1.63509 2.05034i 0.0893347 0.112022i
\(336\) 0.00203668 + 0.0453501i 0.000111110 + 0.00247405i
\(337\) 7.33160 2.75159i 0.399378 0.149889i −0.143601 0.989636i \(-0.545868\pi\)
0.542978 + 0.839747i \(0.317297\pi\)
\(338\) 8.17783 5.94154i 0.444815 0.323177i
\(339\) 11.9976 + 10.4820i 0.651619 + 0.569303i
\(340\) 0.0504447 1.12324i 0.00273575 0.0609161i
\(341\) 2.84555 + 8.75769i 0.154095 + 0.474255i
\(342\) 0.927211 + 2.16932i 0.0501378 + 0.117303i
\(343\) 13.3708 + 1.20339i 0.721953 + 0.0649770i
\(344\) −0.527246 + 1.23355i −0.0284272 + 0.0665088i
\(345\) 0.841625 1.56400i 0.0453116 0.0842030i
\(346\) 5.04793 3.01600i 0.271378 0.162141i
\(347\) −16.6435 9.94405i −0.893472 0.533824i −0.00875922 0.999962i \(-0.502788\pi\)
−0.884712 + 0.466137i \(0.845645\pi\)
\(348\) −0.650896 1.20957i −0.0348917 0.0648396i
\(349\) 8.25847 0.743276i 0.442066 0.0397866i 0.133629 0.991031i \(-0.457337\pi\)
0.308437 + 0.951245i \(0.400194\pi\)
\(350\) −1.36843 + 4.21158i −0.0731454 + 0.225119i
\(351\) 5.83209 + 2.18882i 0.311294 + 0.116830i
\(352\) −6.11444 + 1.68748i −0.325901 + 0.0899429i
\(353\) −9.10804 1.65287i −0.484772 0.0879732i −0.0693320 0.997594i \(-0.522087\pi\)
−0.415440 + 0.909620i \(0.636372\pi\)
\(354\) −6.21162 −0.330144
\(355\) 1.16149 2.33674i 0.0616455 0.124021i
\(356\) 5.99368 0.317664
\(357\) 3.35280 + 0.608443i 0.177449 + 0.0322022i
\(358\) 17.2435 4.75891i 0.911348 0.251516i
\(359\) 17.5260 + 6.57761i 0.924985 + 0.347153i 0.768001 0.640448i \(-0.221251\pi\)
0.156984 + 0.987601i \(0.449823\pi\)
\(360\) −0.468423 + 1.44166i −0.0246881 + 0.0759820i
\(361\) 16.4876 1.48391i 0.867767 0.0781005i
\(362\) −8.76364 16.2856i −0.460607 0.855951i
\(363\) 9.41083 + 5.62271i 0.493940 + 0.295116i
\(364\) −1.29886 + 0.776035i −0.0680790 + 0.0406753i
\(365\) −0.791604 + 1.47105i −0.0414344 + 0.0769981i
\(366\) −2.98426 + 6.98203i −0.155990 + 0.364957i
\(367\) 0.898450 + 0.0808620i 0.0468987 + 0.00422096i 0.113064 0.993588i \(-0.463934\pi\)
−0.0661651 + 0.997809i \(0.521076\pi\)
\(368\) −0.0778979 0.182251i −0.00406071 0.00950050i
\(369\) −5.23940 16.1252i −0.272752 0.839445i
\(370\) −0.0959951 + 2.13750i −0.00499055 + 0.111123i
\(371\) −3.48447 3.04429i −0.180905 0.158052i
\(372\) −9.32568 + 6.77550i −0.483514 + 0.351293i
\(373\) 27.7656 10.4206i 1.43765 0.539558i 0.493694 0.869636i \(-0.335646\pi\)
0.943954 + 0.330078i \(0.107075\pi\)
\(374\) 0.127147 + 2.83114i 0.00657459 + 0.146395i
\(375\) −2.15019 + 2.69625i −0.111035 + 0.139234i
\(376\) 5.45211 + 5.70247i 0.281171 + 0.294082i
\(377\) 0.632525 0.958234i 0.0325767 0.0493516i
\(378\) −4.33202 2.08619i −0.222815 0.107302i
\(379\) −9.55730 2.63765i −0.490925 0.135487i 0.0118046 0.999930i \(-0.496242\pi\)
−0.502730 + 0.864444i \(0.667671\pi\)
\(380\) −0.487720 0.354350i −0.0250195 0.0181777i
\(381\) −2.78798 12.2150i −0.142833 0.625791i
\(382\) 3.37612 3.53114i 0.172737 0.180669i
\(383\) 4.54312 + 33.5386i 0.232142 + 1.71374i 0.613818 + 0.789448i \(0.289633\pi\)
−0.381675 + 0.924296i \(0.624653\pi\)
\(384\) −4.41611 6.69012i −0.225359 0.341404i
\(385\) 0.0800524 0.350733i 0.00407985 0.0178750i
\(386\) 9.40560 8.21743i 0.478733 0.418256i
\(387\) 0.514868 + 0.645625i 0.0261722 + 0.0328189i
\(388\) 3.03782 22.4261i 0.154222 1.13851i
\(389\) 12.9787 6.25020i 0.658045 0.316898i −0.0748949 0.997191i \(-0.523862\pi\)
0.732939 + 0.680294i \(0.238148\pi\)
\(390\) 0.348324 0.0632115i 0.0176381 0.00320084i
\(391\) −14.6385 + 2.65650i −0.740301 + 0.134345i
\(392\) −15.0414 + 7.24356i −0.759706 + 0.365855i
\(393\) −1.81593 + 13.4057i −0.0916016 + 0.676230i
\(394\) 0.00279958 + 0.00351057i 0.000141041 + 0.000176860i
\(395\) 2.97826 2.60202i 0.149852 0.130922i
\(396\) −0.537523 + 2.35504i −0.0270115 + 0.118345i
\(397\) −2.62356 3.97452i −0.131672 0.199475i 0.762756 0.646686i \(-0.223846\pi\)
−0.894428 + 0.447211i \(0.852417\pi\)
\(398\) 1.62008 + 11.9599i 0.0812075 + 0.599498i
\(399\) 1.26260 1.32057i 0.0632089 0.0661113i
\(400\) 0.0424040 + 0.185784i 0.00212020 + 0.00928920i
\(401\) −10.3734 7.53671i −0.518022 0.376365i 0.297836 0.954617i \(-0.403735\pi\)
−0.815858 + 0.578252i \(0.803735\pi\)
\(402\) −7.97631 2.20132i −0.397822 0.109792i
\(403\) −8.68132 4.18070i −0.432447 0.208256i
\(404\) −9.43602 + 14.2950i −0.469460 + 0.711201i
\(405\) −0.166834 0.174495i −0.00829006 0.00867072i
\(406\) −0.552558 + 0.692886i −0.0274230 + 0.0343874i
\(407\) 0.398768 + 8.87926i 0.0197662 + 0.440129i
\(408\) −8.65813 + 3.24945i −0.428641 + 0.160872i
\(409\) −28.8656 + 20.9721i −1.42731 + 1.03700i −0.436801 + 0.899558i \(0.643888\pi\)
−0.990510 + 0.137443i \(0.956112\pi\)
\(410\) −1.97974 1.72965i −0.0977723 0.0854211i
\(411\) 0.0741672 1.65146i 0.00365840 0.0814605i
\(412\) −2.96430 9.12316i −0.146040 0.449466i
\(413\) −2.59599 6.07362i −0.127740 0.298863i
\(414\) 7.66348 + 0.689726i 0.376640 + 0.0338982i
\(415\) 0.576687 1.34923i 0.0283084 0.0662309i
\(416\) 3.14519 5.84475i 0.154206 0.286562i
\(417\) −13.8060 + 8.24873i −0.676085 + 0.403942i
\(418\) 1.30442 + 0.779354i 0.0638012 + 0.0381194i
\(419\) −2.60048 4.83250i −0.127042 0.236083i 0.809127 0.587634i \(-0.199940\pi\)
−0.936169 + 0.351550i \(0.885655\pi\)
\(420\) 0.448530 0.0403684i 0.0218860 0.00196978i
\(421\) −1.91741 + 5.90119i −0.0934490 + 0.287606i −0.986846 0.161661i \(-0.948315\pi\)
0.893397 + 0.449267i \(0.148315\pi\)
\(422\) −9.80649 3.68044i −0.477373 0.179161i
\(423\) 4.68146 1.29200i 0.227620 0.0628193i
\(424\) 12.3555 + 2.24220i 0.600037 + 0.108891i
\(425\) 14.3042 0.693855
\(426\) −8.21994 0.472095i −0.398258 0.0228731i
\(427\) −8.07411 −0.390733
\(428\) −23.7635 4.31244i −1.14865 0.208450i
\(429\) 1.41759 0.391230i 0.0684419 0.0188888i
\(430\) 0.119874 + 0.0449894i 0.00578083 + 0.00216958i
\(431\) 9.24022 28.4385i 0.445086 1.36983i −0.437304 0.899314i \(-0.644067\pi\)
0.882390 0.470519i \(-0.155933\pi\)
\(432\) −0.206075 + 0.0185471i −0.00991481 + 0.000892349i
\(433\) 10.2654 + 19.0762i 0.493322 + 0.916745i 0.998554 + 0.0537617i \(0.0171211\pi\)
−0.505232 + 0.862983i \(0.668593\pi\)
\(434\) 6.38458 + 3.81461i 0.306470 + 0.183107i
\(435\) −0.293370 + 0.175280i −0.0140660 + 0.00840405i
\(436\) −5.36727 + 9.97405i −0.257045 + 0.477670i
\(437\) −3.13514 + 7.33502i −0.149974 + 0.350882i
\(438\) 5.24961 + 0.472473i 0.250836 + 0.0225756i
\(439\) −2.84874 6.66497i −0.135963 0.318101i 0.837686 0.546152i \(-0.183908\pi\)
−0.973649 + 0.228050i \(0.926765\pi\)
\(440\) 0.301705 + 0.928552i 0.0143832 + 0.0442670i
\(441\) −0.461061 + 10.2663i −0.0219553 + 0.488873i
\(442\) −2.23320 1.95109i −0.106223 0.0928038i
\(443\) 6.97481 5.06749i 0.331383 0.240764i −0.409634 0.912250i \(-0.634344\pi\)
0.741017 + 0.671486i \(0.234344\pi\)
\(444\) −10.4169 + 3.90953i −0.494364 + 0.185538i
\(445\) −0.0669032 1.48971i −0.00317151 0.0706192i
\(446\) −2.77398 + 3.47846i −0.131352 + 0.164710i
\(447\) −14.8514 15.5333i −0.702446 0.734701i
\(448\) −2.77780 + 4.20819i −0.131239 + 0.198818i
\(449\) 20.9427 + 10.0855i 0.988348 + 0.475963i 0.856968 0.515369i \(-0.172345\pi\)
0.131379 + 0.991332i \(0.458059\pi\)
\(450\) −7.13130 1.96811i −0.336173 0.0927778i
\(451\) −8.83488 6.41892i −0.416018 0.302255i
\(452\) −3.92465 17.1950i −0.184600 0.808785i
\(453\) −1.07370 + 1.12300i −0.0504469 + 0.0527633i
\(454\) −2.62367 19.3687i −0.123135 0.909018i
\(455\) 0.207380 + 0.314167i 0.00972213 + 0.0147284i
\(456\) −1.10335 + 4.83410i −0.0516692 + 0.226377i
\(457\) −1.49569 + 1.30675i −0.0699656 + 0.0611271i −0.692211 0.721695i \(-0.743363\pi\)
0.622246 + 0.782822i \(0.286220\pi\)
\(458\) −1.54500 1.93737i −0.0721932 0.0905274i
\(459\) −2.08481 + 15.3907i −0.0973104 + 0.718374i
\(460\) −1.77151 + 0.853112i −0.0825969 + 0.0397766i
\(461\) −11.8272 + 2.14633i −0.550850 + 0.0999645i −0.446843 0.894612i \(-0.647452\pi\)
−0.104006 + 0.994577i \(0.533166\pi\)
\(462\) −1.11685 + 0.202679i −0.0519608 + 0.00942949i
\(463\) −15.5897 + 7.50762i −0.724516 + 0.348909i −0.759525 0.650478i \(-0.774568\pi\)
0.0350084 + 0.999387i \(0.488854\pi\)
\(464\) −0.00511925 + 0.0377918i −0.000237655 + 0.00175444i
\(465\) 1.78813 + 2.24225i 0.0829226 + 0.103982i
\(466\) −5.74193 + 5.01657i −0.265990 + 0.232388i
\(467\) 2.64234 11.5769i 0.122273 0.535713i −0.876273 0.481814i \(-0.839978\pi\)
0.998546 0.0538987i \(-0.0171648\pi\)
\(468\) −1.39248 2.10952i −0.0643675 0.0975125i
\(469\) −1.18108 8.71908i −0.0545372 0.402610i
\(470\) 0.520369 0.544263i 0.0240028 0.0251050i
\(471\) 4.15965 + 18.2246i 0.191666 + 0.839745i
\(472\) 14.5023 + 10.5365i 0.667522 + 0.484983i
\(473\) 0.512709 + 0.141499i 0.0235744 + 0.00650612i
\(474\) −11.2425 5.41412i −0.516387 0.248679i
\(475\) 4.22511 6.40076i 0.193861 0.293687i
\(476\) −2.60695 2.72666i −0.119489 0.124976i
\(477\) 4.81948 6.04343i 0.220669 0.276710i
\(478\) 0.914870 + 20.3712i 0.0418452 + 0.931756i
\(479\) 11.0443 4.14498i 0.504626 0.189389i −0.0860616 0.996290i \(-0.527428\pi\)
0.590687 + 0.806901i \(0.298857\pi\)
\(480\) −1.59824 + 1.16119i −0.0729492 + 0.0530007i
\(481\) −7.00396 6.11917i −0.319353 0.279010i
\(482\) 0.137072 3.05215i 0.00624347 0.139022i
\(483\) −1.84140 5.66726i −0.0837868 0.257869i
\(484\) −4.76986 11.1596i −0.216812 0.507257i
\(485\) −5.60787 0.504717i −0.254640 0.0229180i
\(486\) 5.15682 12.0650i 0.233918 0.547279i
\(487\) −13.3750 + 24.8548i −0.606077 + 1.12628i 0.373956 + 0.927446i \(0.378001\pi\)
−0.980033 + 0.198833i \(0.936285\pi\)
\(488\) 18.8107 11.2389i 0.851520 0.508760i
\(489\) 12.6979 + 7.58666i 0.574220 + 0.343080i
\(490\) 0.755063 + 1.40314i 0.0341103 + 0.0633875i
\(491\) 14.3122 1.28812i 0.645901 0.0581321i 0.238154 0.971227i \(-0.423458\pi\)
0.407746 + 0.913095i \(0.366315\pi\)
\(492\) 4.22440 13.0014i 0.190451 0.586147i
\(493\) 2.68014 + 1.00587i 0.120708 + 0.0453023i
\(494\) −1.53269 + 0.422997i −0.0689592 + 0.0190315i
\(495\) 0.591340 + 0.107312i 0.0265788 + 0.00482334i
\(496\) 0.320048 0.0143706
\(497\) −2.97371 8.23461i −0.133389 0.369373i
\(498\) −4.62965 −0.207460
\(499\) 1.50605 + 0.273308i 0.0674201 + 0.0122349i 0.212162 0.977234i \(-0.431950\pi\)
−0.144742 + 0.989469i \(0.546235\pi\)
\(500\) 3.68027 1.01569i 0.164587 0.0454230i
\(501\) 12.7340 + 4.77913i 0.568911 + 0.213516i
\(502\) −1.56908 + 4.82913i −0.0700315 + 0.215535i
\(503\) 7.63881 0.687505i 0.340598 0.0306543i 0.0819796 0.996634i \(-0.473876\pi\)
0.258618 + 0.965980i \(0.416733\pi\)
\(504\) 2.41002 + 4.47856i 0.107351 + 0.199491i
\(505\) 3.65831 + 2.18574i 0.162793 + 0.0972640i
\(506\) 4.25438 2.54188i 0.189130 0.113000i
\(507\) 6.19721 11.5164i 0.275228 0.511459i
\(508\) −5.45145 + 12.7543i −0.241869 + 0.565880i
\(509\) 28.2394 + 2.54159i 1.25169 + 0.112654i 0.695575 0.718453i \(-0.255150\pi\)
0.556112 + 0.831107i \(0.312292\pi\)
\(510\) 0.346901 + 0.811616i 0.0153610 + 0.0359389i
\(511\) 1.73196 + 5.33043i 0.0766175 + 0.235804i
\(512\) −0.0197229 + 0.439163i −0.000871635 + 0.0194085i
\(513\) 6.27112 + 5.47892i 0.276877 + 0.241900i
\(514\) −1.32579 + 0.963244i −0.0584781 + 0.0424869i
\(515\) −2.23445 + 0.838604i −0.0984618 + 0.0369533i
\(516\) 0.0298715 + 0.665140i 0.00131502 + 0.0292811i
\(517\) 1.95027 2.44556i 0.0857727 0.107556i
\(518\) 4.96097 + 5.18877i 0.217972 + 0.227981i
\(519\) 4.19109 6.34923i 0.183969 0.278700i
\(520\) −0.920455 0.443268i −0.0403646 0.0194386i
\(521\) 24.0371 + 6.63382i 1.05308 + 0.290633i 0.749384 0.662135i \(-0.230350\pi\)
0.303700 + 0.952768i \(0.401778\pi\)
\(522\) −1.19778 0.870236i −0.0524253 0.0380892i
\(523\) 2.57097 + 11.2641i 0.112421 + 0.492547i 0.999520 + 0.0309690i \(0.00985932\pi\)
−0.887100 + 0.461578i \(0.847284\pi\)
\(524\) 10.3497 10.8250i 0.452130 0.472891i
\(525\) 0.769055 + 5.67739i 0.0335643 + 0.247782i
\(526\) 2.21122 + 3.34986i 0.0964139 + 0.146061i
\(527\) 5.34581 23.4215i 0.232867 1.02026i
\(528\) −0.0367846 + 0.0321377i −0.00160084 + 0.00139861i
\(529\) 1.88104 + 2.35875i 0.0817843 + 0.102554i
\(530\) 0.160880 1.18767i 0.00698820 0.0515890i
\(531\) 9.94173 4.78768i 0.431434 0.207768i
\(532\) −1.99014 + 0.361157i −0.0862834 + 0.0156581i
\(533\) 11.2435 2.04039i 0.487008 0.0883790i
\(534\) −4.23915 + 2.04147i −0.183446 + 0.0883430i
\(535\) −0.806592 + 5.95450i −0.0348720 + 0.257436i
\(536\) 14.8883 + 18.6693i 0.643076 + 0.806391i
\(537\) 17.4285 15.2268i 0.752095 0.657086i
\(538\) 3.17756 13.9218i 0.136994 0.600212i
\(539\) 3.64642 + 5.52409i 0.157063 + 0.237940i
\(540\) 0.275528 + 2.03403i 0.0118568 + 0.0875306i
\(541\) −21.7498 + 22.7485i −0.935095 + 0.978033i −0.999803 0.0198712i \(-0.993674\pi\)
0.0647072 + 0.997904i \(0.479389\pi\)
\(542\) −3.12638 13.6976i −0.134289 0.588361i
\(543\) −19.3572 14.0638i −0.830697 0.603537i
\(544\) 15.9520 + 4.40248i 0.683938 + 0.188755i
\(545\) 2.53894 + 1.22269i 0.108756 + 0.0523742i
\(546\) 0.654328 0.991265i 0.0280027 0.0424222i
\(547\) −18.8830 19.7500i −0.807378 0.844451i 0.182961 0.983120i \(-0.441432\pi\)
−0.990339 + 0.138669i \(0.955717\pi\)
\(548\) −1.14106 + 1.43084i −0.0487435 + 0.0611224i
\(549\) −0.605160 13.4749i −0.0258276 0.575096i
\(550\) −4.46105 + 1.67426i −0.190220 + 0.0713907i
\(551\) 1.24175 0.902185i 0.0529004 0.0384344i
\(552\) 12.1786 + 10.6402i 0.518358 + 0.452875i
\(553\) 0.595303 13.2554i 0.0253148 0.563679i
\(554\) −5.99330 18.4455i −0.254631 0.783673i
\(555\) 1.08798 + 2.54546i 0.0461822 + 0.108049i
\(556\) 17.7327 + 1.59597i 0.752035 + 0.0676843i
\(557\) −18.1886 + 42.5543i −0.770676 + 1.80309i −0.204362 + 0.978895i \(0.565512\pi\)
−0.566313 + 0.824190i \(0.691631\pi\)
\(558\) −5.88770 + 10.9412i −0.249246 + 0.463177i
\(559\) −0.477769 + 0.285454i −0.0202075 + 0.0120734i
\(560\) −0.0107337 0.00641309i −0.000453582 0.000271003i
\(561\) 1.73746 + 3.22874i 0.0733556 + 0.136318i
\(562\) −11.1697 + 1.00529i −0.471165 + 0.0424056i
\(563\) 1.43563 4.41841i 0.0605046 0.186214i −0.916236 0.400640i \(-0.868788\pi\)
0.976740 + 0.214426i \(0.0687880\pi\)
\(564\) 3.66597 + 1.37586i 0.154365 + 0.0579343i
\(565\) −4.22997 + 1.16740i −0.177956 + 0.0491128i
\(566\) 17.0212 + 3.08890i 0.715455 + 0.129836i
\(567\) −0.809979 −0.0340159
\(568\) 18.3903 + 15.0454i 0.771640 + 0.631289i
\(569\) −25.7744 −1.08052 −0.540259 0.841499i \(-0.681674\pi\)
−0.540259 + 0.841499i \(0.681674\pi\)
\(570\) 0.465643 + 0.0845018i 0.0195036 + 0.00353939i
\(571\) −15.6231 + 4.31169i −0.653804 + 0.180439i −0.577174 0.816621i \(-0.695845\pi\)
−0.0766301 + 0.997060i \(0.524416\pi\)
\(572\) −1.52422 0.572049i −0.0637308 0.0239186i
\(573\) 1.95317 6.01125i 0.0815950 0.251124i
\(574\) −8.78468 + 0.790635i −0.366665 + 0.0330005i
\(575\) −11.8535 22.0274i −0.494323 0.918606i
\(576\) −7.23128 4.32049i −0.301303 0.180020i
\(577\) −3.26230 + 1.94913i −0.135811 + 0.0811435i −0.579198 0.815187i \(-0.696634\pi\)
0.443386 + 0.896331i \(0.353777\pi\)
\(578\) −3.49731 + 6.49909i −0.145469 + 0.270327i
\(579\) 6.35081 14.8585i 0.263931 0.617496i
\(580\) 0.376809 + 0.0339134i 0.0156461 + 0.00140818i
\(581\) −1.93484 4.52679i −0.0802709 0.187803i
\(582\) 5.48986 + 16.8960i 0.227562 + 0.700363i
\(583\) 0.223368 4.97367i 0.00925095 0.205988i
\(584\) −11.4548 10.0078i −0.474004 0.414125i
\(585\) −0.508773 + 0.369645i −0.0210352 + 0.0152829i
\(586\) −18.7327 + 7.03050i −0.773840 + 0.290427i
\(587\) 1.41047 + 31.4066i 0.0582164 + 1.29629i 0.789303 + 0.614004i \(0.210442\pi\)
−0.731086 + 0.682285i \(0.760986\pi\)
\(588\) −5.16613 + 6.47812i −0.213048 + 0.267153i
\(589\) −8.90151 9.31024i −0.366780 0.383622i
\(590\) 0.942530 1.42787i 0.0388033 0.0587845i
\(591\) 0.00523398 + 0.00252055i 0.000215297 + 0.000103682i
\(592\) 0.297787 + 0.0821841i 0.0122390 + 0.00337775i
\(593\) −38.8045 28.1932i −1.59351 1.15775i −0.898701 0.438561i \(-0.855488\pi\)
−0.694810 0.719193i \(-0.744512\pi\)
\(594\) −1.15124 5.04391i −0.0472359 0.206954i
\(595\) −0.648605 + 0.678387i −0.0265902 + 0.0278112i
\(596\) 3.19361 + 23.5762i 0.130815 + 0.965717i
\(597\) 8.60213 + 13.0317i 0.352062 + 0.533351i
\(598\) −1.15395 + 5.05577i −0.0471884 + 0.206746i
\(599\) −34.6931 + 30.3105i −1.41752 + 1.23845i −0.486406 + 0.873733i \(0.661692\pi\)
−0.931117 + 0.364720i \(0.881165\pi\)
\(600\) −9.69444 12.1564i −0.395774 0.496285i
\(601\) 4.04258 29.8435i 0.164900 1.21734i −0.699535 0.714598i \(-0.746610\pi\)
0.864435 0.502744i \(-0.167676\pi\)
\(602\) 0.387040 0.186388i 0.0157746 0.00759662i
\(603\) 14.4628 2.62461i 0.588971 0.106883i
\(604\) 1.69240 0.307125i 0.0688627 0.0124967i
\(605\) −2.72046 + 1.31011i −0.110603 + 0.0532634i
\(606\) 1.80491 13.3244i 0.0733193 0.541265i
\(607\) −13.4206 16.8289i −0.544726 0.683065i 0.430926 0.902387i \(-0.358187\pi\)
−0.975653 + 0.219322i \(0.929615\pi\)
\(608\) 6.68183 5.83774i 0.270984 0.236752i
\(609\) −0.255140 + 1.11784i −0.0103388 + 0.0452972i
\(610\) −1.15214 1.74542i −0.0466490 0.0706702i
\(611\) 0.439358 + 3.24347i 0.0177745 + 0.131217i
\(612\) 4.35514 4.55512i 0.176046 0.184130i
\(613\) 3.76555 + 16.4980i 0.152089 + 0.666346i 0.992276 + 0.124049i \(0.0395881\pi\)
−0.840187 + 0.542297i \(0.817555\pi\)
\(614\) −15.9097 11.5591i −0.642064 0.466487i
\(615\) −3.27861 0.904840i −0.132206 0.0364867i
\(616\) 2.95132 + 1.42128i 0.118912 + 0.0572649i
\(617\) 15.3653 23.2774i 0.618582 0.937112i −0.381337 0.924436i \(-0.624536\pi\)
0.999920 0.0126763i \(-0.00403509\pi\)
\(618\) 5.20394 + 5.44290i 0.209333 + 0.218945i
\(619\) −29.6951 + 37.2364i −1.19355 + 1.49666i −0.370359 + 0.928889i \(0.620765\pi\)
−0.823187 + 0.567770i \(0.807806\pi\)
\(620\) −0.142445 3.17179i −0.00572074 0.127382i
\(621\) 25.4281 9.54332i 1.02039 0.382960i
\(622\) 10.4304 7.57815i 0.418222 0.303856i
\(623\) −3.76776 3.29179i −0.150952 0.131883i
\(624\) 0.00229313 0.0510605i 9.17986e−5 0.00204405i
\(625\) 7.28371 + 22.4170i 0.291348 + 0.896678i
\(626\) 10.1906 + 23.8420i 0.407297 + 0.952919i
\(627\) 1.95798 + 0.176222i 0.0781943 + 0.00703761i
\(628\) 8.13351 19.0293i 0.324562 0.759351i
\(629\) 10.9883 20.4197i 0.438133 0.814188i
\(630\) 0.416699 0.248966i 0.0166017 0.00991904i
\(631\) −19.4641 11.6292i −0.774853 0.462953i 0.0702681 0.997528i \(-0.477615\pi\)
−0.845121 + 0.534575i \(0.820472\pi\)
\(632\) 17.0642 + 31.7106i 0.678777 + 1.26138i
\(633\) −13.4969 + 1.21475i −0.536455 + 0.0482818i
\(634\) −1.36100 + 4.18874i −0.0540524 + 0.166356i
\(635\) 3.23090 + 1.21258i 0.128214 + 0.0481197i
\(636\) 6.00778 1.65804i 0.238224 0.0657457i
\(637\) −6.81480 1.23670i −0.270012 0.0490000i
\(638\) −0.953592 −0.0377531
\(639\) 13.5199 5.58003i 0.534840 0.220743i
\(640\) 2.20795 0.0872769
\(641\) −7.48128 1.35765i −0.295493 0.0536240i 0.0287860 0.999586i \(-0.490836\pi\)
−0.324279 + 0.945962i \(0.605122\pi\)
\(642\) 18.2761 5.04388i 0.721299 0.199066i
\(643\) 3.96443 + 1.48787i 0.156342 + 0.0586760i 0.428319 0.903628i \(-0.359106\pi\)
−0.271977 + 0.962304i \(0.587677\pi\)
\(644\) −2.03855 + 6.27401i −0.0803301 + 0.247231i
\(645\) 0.164986 0.0148490i 0.00649630 0.000584678i
\(646\) −1.87854 3.49090i −0.0739100 0.137348i
\(647\) −5.96663 3.56490i −0.234572 0.140151i 0.390803 0.920474i \(-0.372197\pi\)
−0.625376 + 0.780324i \(0.715054\pi\)
\(648\) 1.88705 1.12746i 0.0741305 0.0442909i
\(649\) 3.36786 6.25853i 0.132200 0.245669i
\(650\) 1.95959 4.58469i 0.0768615 0.179826i
\(651\) 9.58350 + 0.862531i 0.375607 + 0.0338052i
\(652\) −6.43592 15.0576i −0.252050 0.589701i
\(653\) 2.66892 + 8.21411i 0.104443 + 0.321443i 0.989599 0.143851i \(-0.0459486\pi\)
−0.885156 + 0.465294i \(0.845949\pi\)
\(654\) 0.398912 8.88247i 0.0155987 0.347332i
\(655\) −2.80605 2.45157i −0.109641 0.0957907i
\(656\) −0.307066 + 0.223097i −0.0119889 + 0.00871047i
\(657\) −8.76618 + 3.29000i −0.342001 + 0.128355i
\(658\) −0.113346 2.52384i −0.00441868 0.0983896i
\(659\) 3.19448 4.00575i 0.124439 0.156042i −0.715709 0.698399i \(-0.753896\pi\)
0.840148 + 0.542356i \(0.182468\pi\)
\(660\) 0.334868 + 0.350245i 0.0130347 + 0.0136333i
\(661\) −18.0617 + 27.3623i −0.702519 + 1.06427i 0.291659 + 0.956522i \(0.405793\pi\)
−0.994178 + 0.107748i \(0.965636\pi\)
\(662\) −8.72285 4.20070i −0.339023 0.163265i
\(663\) −3.69837 1.02068i −0.143633 0.0396401i
\(664\) 10.8089 + 7.85309i 0.419465 + 0.304759i
\(665\) 0.111979 + 0.490613i 0.00434237 + 0.0190252i
\(666\) −8.28774 + 8.66830i −0.321143 + 0.335890i
\(667\) −0.671981 4.96076i −0.0260192 0.192081i
\(668\) −8.29509 12.5665i −0.320947 0.486213i
\(669\) −1.28086 + 5.61183i −0.0495211 + 0.216966i
\(670\) 1.71632 1.49950i 0.0663071 0.0579308i
\(671\) −5.41673 6.79237i −0.209111 0.262216i
\(672\) −0.889712 + 6.56812i −0.0343214 + 0.253371i
\(673\) 16.0654 7.73670i 0.619277 0.298228i −0.0978173 0.995204i \(-0.531186\pi\)
0.717094 + 0.696976i \(0.245472\pi\)
\(674\) 6.69616 1.21517i 0.257927 0.0468068i
\(675\) −25.6935 + 4.66268i −0.988943 + 0.179467i
\(676\) −13.0443 + 6.28180i −0.501703 + 0.241608i
\(677\) −1.55943 + 11.5122i −0.0599338 + 0.442449i 0.935974 + 0.352070i \(0.114522\pi\)
−0.995907 + 0.0903791i \(0.971192\pi\)
\(678\) 8.63247 + 10.8248i 0.331528 + 0.415723i
\(679\) −14.2263 + 12.4291i −0.545955 + 0.476987i
\(680\) 0.566800 2.48331i 0.0217358 0.0952307i
\(681\) −13.9308 21.1043i −0.533831 0.808719i
\(682\) 1.07422 + 7.93018i 0.0411339 + 0.303662i
\(683\) −17.8645 + 18.6848i −0.683568 + 0.714956i −0.969989 0.243148i \(-0.921820\pi\)
0.286422 + 0.958104i \(0.407534\pi\)
\(684\) −0.751899 3.29429i −0.0287496 0.125960i
\(685\) 0.368369 + 0.267636i 0.0140746 + 0.0102258i
\(686\) 11.2465 + 3.10383i 0.429392 + 0.118505i
\(687\) −2.88847 1.39101i −0.110202 0.0530704i
\(688\) 0.0101839 0.0154279i 0.000388257 0.000588183i
\(689\) 3.60018 + 3.76550i 0.137156 + 0.143454i
\(690\) 0.962362 1.20676i 0.0366365 0.0459407i
\(691\) −1.50342 33.4762i −0.0571926 1.27349i −0.798363 0.602176i \(-0.794300\pi\)
0.741171 0.671317i \(-0.234271\pi\)
\(692\) −7.88522 + 2.95937i −0.299751 + 0.112498i
\(693\) 1.63131 1.18522i 0.0619684 0.0450227i
\(694\) −12.6887 11.0857i −0.481655 0.420809i
\(695\) 0.198738 4.42524i 0.00753855 0.167859i
\(696\) −0.961580 2.95944i −0.0364486 0.112177i
\(697\) 11.1975 + 26.1979i 0.424137 + 0.992317i
\(698\) 7.17708 + 0.645949i 0.271656 + 0.0244495i
\(699\) −3.87704 + 9.07079i −0.146643 + 0.343089i
\(700\) 3.00557 5.58529i 0.113600 0.211104i
\(701\) 30.3942 18.1597i 1.14797 0.685883i 0.192599 0.981278i \(-0.438308\pi\)
0.955375 + 0.295395i \(0.0954511\pi\)
\(702\) 4.64731 + 2.77664i 0.175401 + 0.104797i
\(703\) −5.89163 10.9485i −0.222207 0.412930i
\(704\) −5.40372 + 0.486344i −0.203660 + 0.0183298i
\(705\) 0.301047 0.926527i 0.0113381 0.0348950i
\(706\) −7.53172 2.82670i −0.283460 0.106384i
\(707\) 13.7826 3.80376i 0.518349 0.143055i
\(708\) 8.75386 + 1.58859i 0.328990 + 0.0597029i
\(709\) −1.65180 −0.0620347 −0.0310174 0.999519i \(-0.509875\pi\)
−0.0310174 + 0.999519i \(0.509875\pi\)
\(710\) 1.35579 1.81789i 0.0508817 0.0682243i
\(711\) 22.1667 0.831317
\(712\) 13.3600 + 2.42448i 0.500687 + 0.0908614i
\(713\) −40.4973 + 11.1765i −1.51664 + 0.418565i
\(714\) 2.77253 + 1.04055i 0.103759 + 0.0389415i
\(715\) −0.125168 + 0.385227i −0.00468101 + 0.0144067i
\(716\) −25.5179 + 2.29665i −0.953647 + 0.0858298i
\(717\) 12.5017 + 23.2321i 0.466885 + 0.867618i
\(718\) 13.9656 + 8.34406i 0.521192 + 0.311398i
\(719\) 33.1208 19.7888i 1.23520 0.737996i 0.261360 0.965241i \(-0.415829\pi\)
0.973838 + 0.227245i \(0.0729720\pi\)
\(720\) 0.00989836 0.0183942i 0.000368890 0.000685512i
\(721\) −3.14712 + 7.36304i −0.117205 + 0.274214i
\(722\) 14.3286 + 1.28960i 0.533257 + 0.0479940i
\(723\) −1.55354 3.63469i −0.0577767 0.135175i
\(724\) 8.18539 + 25.1920i 0.304208 + 0.936255i
\(725\) −0.215940 + 4.80828i −0.00801981 + 0.178575i
\(726\) 7.17460 + 6.26826i 0.266275 + 0.232637i
\(727\) −1.45097 + 1.05419i −0.0538135 + 0.0390978i −0.614367 0.789021i \(-0.710588\pi\)
0.560553 + 0.828118i \(0.310588\pi\)
\(728\) −3.20910 + 1.20440i −0.118937 + 0.0446379i
\(729\) −0.866522 19.2946i −0.0320934 0.714615i
\(730\) −0.905165 + 1.13504i −0.0335016 + 0.0420097i
\(731\) −0.958931 1.00296i −0.0354673 0.0370959i
\(732\) 5.99126 9.07637i 0.221443 0.335472i
\(733\) 11.0947 + 5.34293i 0.409792 + 0.197345i 0.627411 0.778688i \(-0.284115\pi\)
−0.217619 + 0.976034i \(0.569829\pi\)
\(734\) 0.755709 + 0.208562i 0.0278937 + 0.00769818i
\(735\) 1.66779 + 1.21172i 0.0615173 + 0.0446949i
\(736\) −6.43947 28.2131i −0.237362 1.03995i
\(737\) 6.54260 6.84302i 0.241000 0.252066i
\(738\) −1.97791 14.6016i −0.0728080 0.537491i
\(739\) −21.0558 31.8982i −0.774552 1.17340i −0.980823 0.194901i \(-0.937561\pi\)
0.206271 0.978495i \(-0.433867\pi\)
\(740\) 0.681937 2.98776i 0.0250685 0.109832i
\(741\) −1.54914 + 1.35344i −0.0569090 + 0.0497199i
\(742\) −2.50714 3.14385i −0.0920400 0.115414i
\(743\) −1.04916 + 7.74520i −0.0384899 + 0.284144i 0.961468 + 0.274918i \(0.0886509\pi\)
−0.999957 + 0.00922538i \(0.997063\pi\)
\(744\) −23.5278 + 11.3304i −0.862572 + 0.415393i
\(745\) 5.82415 1.05693i 0.213380 0.0387228i
\(746\) 25.3591 4.60200i 0.928463 0.168491i
\(747\) 7.40978 3.56836i 0.271110 0.130560i
\(748\) 0.544865 4.02236i 0.0199223 0.147072i
\(749\) 12.5698 + 15.7621i 0.459291 + 0.575933i
\(750\) −2.25700 + 1.97188i −0.0824140 + 0.0720029i
\(751\) −4.64498 + 20.3510i −0.169498 + 0.742618i 0.816702 + 0.577059i \(0.195800\pi\)
−0.986200 + 0.165558i \(0.947057\pi\)
\(752\) −0.0598918 0.0907322i −0.00218403 0.00330866i
\(753\) 0.881823 + 6.50988i 0.0321354 + 0.237233i
\(754\) 0.689561 0.721224i 0.0251123 0.0262654i
\(755\) −0.0952262 0.417213i −0.00346564 0.0151839i
\(756\) 5.57146 + 4.04790i 0.202632 + 0.147221i
\(757\) 41.9681 + 11.5825i 1.52536 + 0.420972i 0.925378 0.379045i \(-0.123747\pi\)
0.599978 + 0.800016i \(0.295176\pi\)
\(758\) −7.76306 3.73849i −0.281967 0.135788i
\(759\) 3.53224 5.35112i 0.128212 0.194233i
\(760\) −0.943800 0.987138i −0.0342352 0.0358072i
\(761\) −3.96526 + 4.97228i −0.143741 + 0.180245i −0.848490 0.529211i \(-0.822488\pi\)
0.704750 + 0.709456i \(0.251059\pi\)
\(762\) −0.488510 10.8775i −0.0176969 0.394051i
\(763\) 8.85183 3.32215i 0.320458 0.120270i
\(764\) −5.66094 + 4.11291i −0.204805 + 0.148800i
\(765\) −1.18078 1.03162i −0.0426912 0.0372981i
\(766\) −1.31962 + 29.3836i −0.0476797 + 1.06167i
\(767\) 2.29811 + 7.07286i 0.0829800 + 0.255386i
\(768\) −7.02703 16.4406i −0.253566 0.593247i
\(769\) −7.70121 0.693121i −0.277713 0.0249946i −0.0500925 0.998745i \(-0.515952\pi\)
−0.227620 + 0.973750i \(0.573094\pi\)
\(770\) 0.122877 0.287486i 0.00442820 0.0103603i
\(771\) −1.00469 + 1.86703i −0.0361832 + 0.0672396i
\(772\) −15.3566 + 9.17515i −0.552696 + 0.330221i
\(773\) 16.9927 + 10.1527i 0.611186 + 0.365167i 0.784893 0.619631i \(-0.212718\pi\)
−0.173708 + 0.984797i \(0.555575\pi\)
\(774\) 0.340074 + 0.631963i 0.0122237 + 0.0227154i
\(775\) 40.2295 3.62072i 1.44509 0.130060i
\(776\) 15.8429 48.7594i 0.568726 1.75036i
\(777\) 8.69545 + 3.26346i 0.311948 + 0.117076i
\(778\) 12.0678 3.33051i 0.432652 0.119404i
\(779\) 15.0304 + 2.72761i 0.538519 + 0.0977268i
\(780\) −0.507049 −0.0181553
\(781\) 4.93241 8.02606i 0.176495 0.287195i
\(782\) −12.9295 −0.462357
\(783\) −5.14201 0.933138i −0.183761 0.0333476i
\(784\) 0.221763 0.0612026i 0.00792010 0.00218581i
\(785\) −4.82047 1.80915i −0.172050 0.0645715i
\(786\) −3.63304 + 11.1813i −0.129586 + 0.398825i
\(787\) 46.4409 4.17976i 1.65544 0.148992i 0.777865 0.628432i \(-0.216303\pi\)
0.877575 + 0.479440i \(0.159160\pi\)
\(788\) −0.00304756 0.00566332i −0.000108565 0.000201747i
\(789\) 4.45795 + 2.66350i 0.158707 + 0.0948231i
\(790\) 2.95045 1.76281i 0.104972 0.0627180i
\(791\) −6.97656 + 12.9646i −0.248058 + 0.460969i
\(792\) −2.15078 + 5.03200i −0.0764246 + 0.178804i
\(793\) 9.05418 + 0.814891i 0.321523 + 0.0289376i
\(794\) −1.62663 3.80569i −0.0577269 0.135059i
\(795\) −0.479163 1.47471i −0.0169942 0.0523027i
\(796\) 0.775557 17.2691i 0.0274889 0.612088i
\(797\) 8.63205 + 7.54160i 0.305763 + 0.267137i 0.797120 0.603821i \(-0.206356\pi\)
−0.491357 + 0.870958i \(0.663499\pi\)
\(798\) 1.28456 0.933284i 0.0454728 0.0330379i
\(799\) −7.64028 + 2.86744i −0.270294 + 0.101443i
\(800\) 1.24829 + 27.7953i 0.0441337 + 0.982714i
\(801\) 5.21129 6.53476i 0.184132 0.230894i
\(802\) −7.70067 8.05427i −0.271920 0.284406i
\(803\) −3.32231 + 5.03308i −0.117242 + 0.177614i
\(804\) 10.6778 + 5.14216i 0.376577 + 0.181350i
\(805\) 1.58215 + 0.436645i 0.0557633 + 0.0153897i
\(806\) −6.77457 4.92201i −0.238624 0.173371i
\(807\) −4.11104 18.0117i −0.144716 0.634041i
\(808\) −26.8155 + 28.0468i −0.943365 + 0.986682i
\(809\) −3.10050 22.8888i −0.109008 0.804728i −0.960089 0.279694i \(-0.909767\pi\)
0.851081 0.525034i \(-0.175947\pi\)
\(810\) −0.115581 0.175098i −0.00406110 0.00615230i
\(811\) −4.40603 + 19.3041i −0.154717 + 0.677858i 0.836759 + 0.547571i \(0.184447\pi\)
−0.991476 + 0.130288i \(0.958410\pi\)
\(812\) 0.955907 0.835150i 0.0335457 0.0293080i
\(813\) −11.3334 14.2116i −0.397478 0.498422i
\(814\) −1.03687 + 7.65445i −0.0363421 + 0.268289i
\(815\) −3.67069 + 1.76771i −0.128579 + 0.0619202i
\(816\) 0.125387 0.0227544i 0.00438942 0.000796563i
\(817\) −0.732045 + 0.132847i −0.0256110 + 0.00464771i
\(818\) −27.9370 + 13.4538i −0.976796 + 0.470400i
\(819\) −0.283226 + 2.09085i −0.00989670 + 0.0730604i
\(820\) 2.34764 + 2.94385i 0.0819831 + 0.102804i
\(821\) −26.7950 + 23.4101i −0.935151 + 0.817017i −0.983331 0.181822i \(-0.941801\pi\)
0.0481807 + 0.998839i \(0.484658\pi\)
\(822\) 0.319687 1.40064i 0.0111504 0.0488529i
\(823\) −11.2040 16.9733i −0.390545 0.591651i 0.585112 0.810953i \(-0.301051\pi\)
−0.975657 + 0.219302i \(0.929622\pi\)
\(824\) −2.91708 21.5348i −0.101621 0.750199i
\(825\) −4.26018 + 4.45580i −0.148321 + 0.155131i
\(826\) −1.27733 5.59633i −0.0444438 0.194721i
\(827\) −2.07228 1.50560i −0.0720601 0.0523547i 0.551172 0.834392i \(-0.314181\pi\)
−0.623232 + 0.782037i \(0.714181\pi\)
\(828\) −10.6235 2.93191i −0.369193 0.101891i
\(829\) −38.6946 18.6344i −1.34392 0.647198i −0.382929 0.923778i \(-0.625085\pi\)
−0.960991 + 0.276580i \(0.910799\pi\)
\(830\) 0.702487 1.06422i 0.0243837 0.0369397i
\(831\) −17.3404 18.1366i −0.601532 0.629153i
\(832\) 3.53971 4.43865i 0.122717 0.153883i
\(833\) −0.774750 17.2512i −0.0268435 0.597717i
\(834\) −13.0854 + 4.91104i −0.453111 + 0.170056i
\(835\) −3.03079 + 2.20200i −0.104885 + 0.0762032i
\(836\) −1.63896 1.43192i −0.0566847 0.0495239i
\(837\) −1.96763 + 43.8128i −0.0680113 + 1.51439i
\(838\) −1.47376 4.53576i −0.0509101 0.156685i
\(839\) 8.82327 + 20.6431i 0.304613 + 0.712678i 0.999982 0.00597486i \(-0.00190187\pi\)
−0.695369 + 0.718653i \(0.744759\pi\)
\(840\) 1.01611 + 0.0914516i 0.0350591 + 0.00315538i
\(841\) 11.0191 25.7806i 0.379971 0.888985i
\(842\) −2.55529 + 4.74852i −0.0880610 + 0.163645i
\(843\) −12.4556 + 7.44190i −0.428995 + 0.256312i
\(844\) 12.8787 + 7.69469i 0.443305 + 0.264862i
\(845\) 1.70693 + 3.17201i 0.0587202 + 0.109120i
\(846\) 4.20356 0.378327i 0.144521 0.0130072i
\(847\) −3.13056 + 9.63486i −0.107567 + 0.331058i
\(848\) −0.162006 0.0608018i −0.00556331 0.00208794i
\(849\) 21.5747 5.95424i 0.740442 0.204349i
\(850\) 12.2314 + 2.21967i 0.419533 + 0.0761340i
\(851\) −40.5506 −1.39006
\(852\) 11.4634 + 2.76752i 0.392729 + 0.0948136i
\(853\) −15.8104 −0.541338 −0.270669 0.962673i \(-0.587245\pi\)
−0.270669 + 0.962673i \(0.587245\pi\)
\(854\) −6.90409 1.25291i −0.236253 0.0428736i
\(855\) −0.810395 + 0.223655i −0.0277149 + 0.00764883i
\(856\) −51.2249 19.2250i −1.75083 0.657097i
\(857\) −6.27263 + 19.3052i −0.214269 + 0.659452i 0.784936 + 0.619577i \(0.212696\pi\)
−0.999205 + 0.0398750i \(0.987304\pi\)
\(858\) 1.27288 0.114561i 0.0434554 0.00391105i
\(859\) 7.02192 + 13.0489i 0.239585 + 0.445223i 0.971786 0.235866i \(-0.0757925\pi\)
−0.732201 + 0.681089i \(0.761507\pi\)
\(860\) −0.157429 0.0940594i −0.00536828 0.00320740i
\(861\) −9.79603 + 5.85286i −0.333848 + 0.199465i
\(862\) 12.3142 22.8836i 0.419423 0.779419i
\(863\) 19.3944 45.3755i 0.660194 1.54460i −0.168985 0.985619i \(-0.554049\pi\)
0.829179 0.558983i \(-0.188808\pi\)
\(864\) −30.0884 2.70801i −1.02363 0.0921283i
\(865\) 0.823563 + 1.92682i 0.0280020 + 0.0655139i
\(866\) 5.81764 + 17.9048i 0.197691 + 0.608431i
\(867\) −0.428391 + 9.53887i −0.0145489 + 0.323957i
\(868\) −8.02203 7.00864i −0.272285 0.237889i
\(869\) 11.5506 8.39197i 0.391826 0.284678i
\(870\) −0.278057 + 0.104357i −0.00942702 + 0.00353802i
\(871\) 0.444459 + 9.89664i 0.0150599 + 0.335335i
\(872\) −15.9983 + 20.0612i −0.541771 + 0.679359i
\(873\) −21.8094 22.8108i −0.738135 0.772029i
\(874\) −3.81905 + 5.78561i −0.129181 + 0.195701i
\(875\) −2.87133 1.38276i −0.0970685 0.0467457i
\(876\) −7.27729 2.00840i −0.245877 0.0678577i
\(877\) 2.20672 + 1.60327i 0.0745156 + 0.0541387i 0.624419 0.781089i \(-0.285336\pi\)
−0.549904 + 0.835228i \(0.685336\pi\)
\(878\) −1.40169 6.14121i −0.0473048 0.207256i
\(879\) −17.8892 + 18.7106i −0.603388 + 0.631094i
\(880\) −0.00180596 0.0133322i −6.08790e−5 0.000449427i
\(881\) −5.21393 7.89877i −0.175662 0.266116i 0.736067 0.676908i \(-0.236681\pi\)
−0.911729 + 0.410792i \(0.865252\pi\)
\(882\) −1.98734 + 8.70710i −0.0669171 + 0.293183i
\(883\) 8.36329 7.30678i 0.281447 0.245893i −0.505626 0.862753i \(-0.668738\pi\)
0.787073 + 0.616860i \(0.211596\pi\)
\(884\) 2.64820 + 3.32074i 0.0890687 + 0.111689i
\(885\) 0.297128 2.19348i 0.00998784 0.0737332i
\(886\) 6.75045 3.25084i 0.226786 0.109214i
\(887\) 51.0592 9.26587i 1.71440 0.311118i 0.769541 0.638597i \(-0.220485\pi\)
0.944858 + 0.327480i \(0.106199\pi\)
\(888\) −24.8009 + 4.50070i −0.832264 + 0.151034i
\(889\) 10.4317 5.02364i 0.349868 0.168487i
\(890\) 0.173960 1.28422i 0.00583115 0.0430473i
\(891\) −0.543396 0.681397i −0.0182045 0.0228277i
\(892\) 4.79889 4.19266i 0.160679 0.140381i
\(893\) −0.973641 + 4.26580i −0.0325817 + 0.142750i
\(894\) −10.2889 15.5870i −0.344111 0.521306i
\(895\) 0.855665 + 6.31677i 0.0286017 + 0.211146i
\(896\) 5.11932 5.35439i 0.171025 0.178878i
\(897\) 1.49295 + 6.54102i 0.0498480 + 0.218398i
\(898\) 16.3429 + 11.8738i 0.545369 + 0.396234i
\(899\) 7.79231 + 2.15054i 0.259888 + 0.0717246i
\(900\) 9.54660 + 4.59740i 0.318220 + 0.153247i
\(901\) −7.15556 + 10.8402i −0.238386 + 0.361140i
\(902\) −6.55856 6.85972i −0.218376 0.228404i
\(903\) 0.346524 0.434527i 0.0115316 0.0144602i
\(904\) −1.79261 39.9155i −0.0596212 1.32757i
\(905\) 6.17006 2.31566i 0.205100 0.0769752i
\(906\) −1.09238 + 0.793658i −0.0362918 + 0.0263675i
\(907\) 9.92205 + 8.66863i 0.329456 + 0.287837i 0.806733 0.590916i \(-0.201233\pi\)
−0.477277 + 0.878753i \(0.658376\pi\)
\(908\) −1.25599 + 27.9667i −0.0416814 + 0.928108i
\(909\) 7.38115 + 22.7168i 0.244817 + 0.753470i
\(910\) 0.128577 + 0.300822i 0.00426230 + 0.00997215i
\(911\) −52.4616 4.72163i −1.73813 0.156435i −0.825279 0.564726i \(-0.808982\pi\)
−0.912852 + 0.408291i \(0.866125\pi\)
\(912\) 0.0268542 0.0628286i 0.000889232 0.00208046i
\(913\) 2.51014 4.66462i 0.0830734 0.154376i
\(914\) −1.48173 + 0.885292i −0.0490113 + 0.0292829i
\(915\) −2.32279 1.38780i −0.0767890 0.0458793i
\(916\) 1.68185 + 3.12541i 0.0555700 + 0.103266i
\(917\) −12.4512 + 1.12063i −0.411176 + 0.0370065i
\(918\) −4.17096 + 12.8369i −0.137662 + 0.423681i
\(919\) 43.4508 + 16.3074i 1.43331 + 0.537930i 0.942757 0.333481i \(-0.108223\pi\)
0.490553 + 0.871411i \(0.336795\pi\)
\(920\) −4.29381 + 1.18502i −0.141563 + 0.0390688i
\(921\) −25.0338 4.54297i −0.824892 0.149696i
\(922\) −10.4464 −0.344035
\(923\) 2.50358 + 9.53430i 0.0824063 + 0.313825i
\(924\) 1.62578 0.0534844
\(925\) 38.3611 + 6.96152i 1.26131 + 0.228893i
\(926\) −14.4956 + 4.00054i −0.476356 + 0.131466i
\(927\) −12.5241 4.70038i −0.411346 0.154381i
\(928\) −1.72069 + 5.29573i −0.0564843 + 0.173841i
\(929\) −38.2274 + 3.44053i −1.25420 + 0.112880i −0.696740 0.717324i \(-0.745367\pi\)
−0.557460 + 0.830204i \(0.688224\pi\)
\(930\) 1.18107 + 2.19480i 0.0387289 + 0.0719703i
\(931\) −7.94829 4.74888i −0.260495 0.155638i
\(932\) 9.37490 5.60124i 0.307085 0.183475i
\(933\) 7.90426 14.6886i 0.258774 0.480882i
\(934\) 4.05589 9.48923i 0.132713 0.310497i
\(935\) −1.00583 0.0905263i −0.0328942 0.00296053i
\(936\) −2.25055 5.26542i −0.0735615 0.172106i
\(937\) 9.70120 + 29.8572i 0.316924 + 0.975393i 0.974955 + 0.222402i \(0.0713896\pi\)
−0.658031 + 0.752991i \(0.728610\pi\)
\(938\) 0.343063 7.63888i 0.0112014 0.249418i
\(939\) 25.2623 + 22.0710i 0.824404 + 0.720260i
\(940\) −0.872533 + 0.633932i −0.0284589 + 0.0206766i
\(941\) 28.2137 10.5888i 0.919740 0.345184i 0.153804 0.988101i \(-0.450847\pi\)
0.765936 + 0.642917i \(0.222276\pi\)
\(942\) 0.728853 + 16.2292i 0.0237473 + 0.528775i
\(943\) 31.0638 38.9528i 1.01158 1.26848i
\(944\) −0.170705 0.178543i −0.00555596 0.00581108i
\(945\) 0.943907 1.42996i 0.0307053 0.0465165i
\(946\) 0.416456 + 0.200555i 0.0135401 + 0.00652059i
\(947\) 47.9408 + 13.2308i 1.55787 + 0.429944i 0.935658 0.352908i \(-0.114807\pi\)
0.622208 + 0.782852i \(0.286236\pi\)
\(948\) 14.4591 + 10.5052i 0.469611 + 0.341192i
\(949\) −1.40421 6.15226i −0.0455827 0.199711i
\(950\) 4.60609 4.81760i 0.149441 0.156303i
\(951\) 0.764884 + 5.64660i 0.0248031 + 0.183104i
\(952\) −4.70799 7.13230i −0.152587 0.231159i
\(953\) −1.08035 + 4.73332i −0.0349959 + 0.153327i −0.989407 0.145168i \(-0.953628\pi\)
0.954411 + 0.298495i \(0.0964848\pi\)
\(954\) 5.05889 4.41982i 0.163787 0.143097i
\(955\) 1.08544 + 1.36110i 0.0351241 + 0.0440443i
\(956\) 3.92052 28.9425i 0.126799 0.936066i
\(957\) −1.11155 + 0.535296i −0.0359314 + 0.0173037i
\(958\) 10.0871 1.83053i 0.325898 0.0591418i
\(959\) 1.50313 0.272777i 0.0485385 0.00880843i
\(960\) −1.52244 + 0.733171i −0.0491367 + 0.0236630i
\(961\) 4.94493 36.5049i 0.159514 1.17758i
\(962\) −5.03947 6.31929i −0.162479 0.203742i
\(963\) −25.3633 + 22.1593i −0.817321 + 0.714072i
\(964\) −0.973745 + 4.26625i −0.0313622 + 0.137407i
\(965\) 2.45188 + 3.71443i 0.0789287 + 0.119572i
\(966\) −0.695145 5.13176i −0.0223659 0.165112i
\(967\) 7.81999 8.17907i 0.251474 0.263021i −0.584993 0.811038i \(-0.698903\pi\)
0.836467 + 0.548017i \(0.184617\pi\)
\(968\) −6.11795 26.8045i −0.196638 0.861529i
\(969\) −4.14932 3.01466i −0.133296 0.0968449i
\(970\) −4.71692 1.30179i −0.151451 0.0417979i
\(971\) 40.9459 + 19.7185i 1.31402 + 0.632798i 0.953904 0.300111i \(-0.0970237\pi\)
0.360113 + 0.932909i \(0.382738\pi\)
\(972\) −10.3529 + 15.6840i −0.332070 + 0.503065i
\(973\) −10.2706 10.7423i −0.329262 0.344381i
\(974\) −15.2937 + 19.1777i −0.490041 + 0.614492i
\(975\) −0.289407 6.44416i −0.00926846 0.206378i
\(976\) −0.282699 + 0.106099i −0.00904898 + 0.00339614i
\(977\) 42.3831 30.7931i 1.35595 0.985158i 0.357264 0.934004i \(-0.383710\pi\)
0.998691 0.0511549i \(-0.0162902\pi\)
\(978\) 9.68061 + 8.45770i 0.309552 + 0.270447i
\(979\) 0.241527 5.37802i 0.00771925 0.171882i
\(980\) −0.705241 2.17051i −0.0225281 0.0693344i
\(981\) 6.20781 + 14.5239i 0.198200 + 0.463712i
\(982\) 12.4381 + 1.11945i 0.396916 + 0.0357231i
\(983\) −4.84265 + 11.3299i −0.154456 + 0.361369i −0.978829 0.204678i \(-0.934385\pi\)
0.824373 + 0.566047i \(0.191528\pi\)
\(984\) 14.6754 27.2715i 0.467835 0.869383i
\(985\) −0.00137359 0.000820680i −4.37661e−5 2.61490e-5i
\(986\) 2.13568 + 1.27601i 0.0680139 + 0.0406364i
\(987\) −1.54887 2.87829i −0.0493012 0.0916170i
\(988\) 2.26816 0.204138i 0.0721598 0.00649450i
\(989\) −0.749852 + 2.30781i −0.0238439 + 0.0733840i
\(990\) 0.488997 + 0.183524i 0.0155414 + 0.00583277i
\(991\) 50.0451 13.8116i 1.58974 0.438739i 0.644360 0.764722i \(-0.277124\pi\)
0.945376 + 0.325983i \(0.105695\pi\)
\(992\) 45.9782 + 8.34382i 1.45981 + 0.264917i
\(993\) −12.5258 −0.397496
\(994\) −1.26497 7.50279i −0.0401225 0.237974i
\(995\) −4.30086 −0.136346
\(996\) 6.52444 + 1.18401i 0.206735 + 0.0375168i
\(997\) −12.1026 + 3.34010i −0.383293 + 0.105782i −0.452372 0.891829i \(-0.649422\pi\)
0.0690799 + 0.997611i \(0.477994\pi\)
\(998\) 1.24540 + 0.467406i 0.0394224 + 0.0147955i
\(999\) −13.0813 + 40.2602i −0.413875 + 1.27378i
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 71.2.g.a.16.4 120
3.2 odd 2 639.2.v.a.442.2 120
71.18 even 35 5041.2.a.s.1.40 60
71.40 even 35 inner 71.2.g.a.40.4 yes 120
71.53 odd 70 5041.2.a.t.1.40 60
213.182 odd 70 639.2.v.a.253.2 120
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
71.2.g.a.16.4 120 1.1 even 1 trivial
71.2.g.a.40.4 yes 120 71.40 even 35 inner
639.2.v.a.253.2 120 213.182 odd 70
639.2.v.a.442.2 120 3.2 odd 2
5041.2.a.s.1.40 60 71.18 even 35
5041.2.a.t.1.40 60 71.53 odd 70