Properties

Label 294.2.j.a.41.18
Level $294$
Weight $2$
Character 294.41
Analytic conductor $2.348$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [294,2,Mod(41,294)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(294, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([7, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("294.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 294 = 2 \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 294.j (of order \(14\), degree \(6\), 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: \(2.34760181943\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(20\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 41.18
Character \(\chi\) \(=\) 294.41
Dual form 294.2.j.a.251.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.781831 - 0.623490i) q^{2} +(1.24168 + 1.20757i) q^{3} +(0.222521 - 0.974928i) q^{4} +(0.210425 - 0.101335i) q^{5} +(1.72369 + 0.169937i) q^{6} +(0.981077 + 2.45713i) q^{7} +(-0.433884 - 0.900969i) q^{8} +(0.0835604 + 2.99884i) q^{9} +O(q^{10})\) \(q+(0.781831 - 0.623490i) q^{2} +(1.24168 + 1.20757i) q^{3} +(0.222521 - 0.974928i) q^{4} +(0.210425 - 0.101335i) q^{5} +(1.72369 + 0.169937i) q^{6} +(0.981077 + 2.45713i) q^{7} +(-0.433884 - 0.900969i) q^{8} +(0.0835604 + 2.99884i) q^{9} +(0.101335 - 0.210425i) q^{10} +(0.581717 - 0.463904i) q^{11} +(1.45359 - 0.941844i) q^{12} +(-0.948322 + 0.756262i) q^{13} +(2.29903 + 1.30937i) q^{14} +(0.383650 + 0.128276i) q^{15} +(-0.900969 - 0.433884i) q^{16} +(-1.52085 - 6.66329i) q^{17} +(1.93507 + 2.29249i) q^{18} -4.63573i q^{19} +(-0.0519706 - 0.227698i) q^{20} +(-1.74896 + 4.23570i) q^{21} +(0.165565 - 0.725390i) q^{22} +(1.86385 + 0.425411i) q^{23} +(0.549234 - 1.64266i) q^{24} +(-3.08344 + 3.86651i) q^{25} +(-0.269907 + 1.18254i) q^{26} +(-3.51754 + 3.82451i) q^{27} +(2.61383 - 0.409716i) q^{28} +(2.44707 - 0.558528i) q^{29} +(0.379928 - 0.138912i) q^{30} -2.55159i q^{31} +(-0.974928 + 0.222521i) q^{32} +(1.28251 + 0.126441i) q^{33} +(-5.34354 - 4.26133i) q^{34} +(0.455437 + 0.417623i) q^{35} +(2.94224 + 0.585838i) q^{36} +(0.0943376 + 0.413320i) q^{37} +(-2.89033 - 3.62436i) q^{38} +(-2.09075 - 0.206125i) q^{39} +(-0.182600 - 0.145618i) q^{40} +(-5.27160 + 2.53867i) q^{41} +(1.27352 + 4.40206i) q^{42} +(1.04498 + 0.503234i) q^{43} +(-0.322829 - 0.670361i) q^{44} +(0.321471 + 0.622561i) q^{45} +(1.72245 - 0.829491i) q^{46} +(-3.40572 - 4.27064i) q^{47} +(-0.594775 - 1.62673i) q^{48} +(-5.07498 + 4.82127i) q^{49} +4.94545i q^{50} +(6.15795 - 10.1102i) q^{51} +(0.526279 + 1.09283i) q^{52} +(-11.3114 - 2.58176i) q^{53} +(-0.365580 + 5.18328i) q^{54} +(0.0753979 - 0.156565i) q^{55} +(1.78812 - 1.95003i) q^{56} +(5.59796 - 5.75612i) q^{57} +(1.56496 - 1.96240i) q^{58} +(-9.60560 - 4.62582i) q^{59} +(0.210430 - 0.345487i) q^{60} +(10.0456 - 2.29284i) q^{61} +(-1.59089 - 1.99491i) q^{62} +(-7.28655 + 3.14741i) q^{63} +(-0.623490 + 0.781831i) q^{64} +(-0.122914 + 0.255235i) q^{65} +(1.08154 - 0.700774i) q^{66} +5.04647 q^{67} -6.83465 q^{68} +(1.80060 + 2.77895i) q^{69} +(0.616458 + 0.0425509i) q^{70} +(9.18658 + 2.09678i) q^{71} +(2.66560 - 1.37643i) q^{72} +(3.56590 + 2.84371i) q^{73} +(0.331457 + 0.264328i) q^{74} +(-8.49773 + 1.07752i) q^{75} +(-4.51951 - 1.03155i) q^{76} +(1.71058 + 0.974230i) q^{77} +(-1.76313 + 1.14241i) q^{78} +4.07803 q^{79} -0.233554 q^{80} +(-8.98604 + 0.501168i) q^{81} +(-2.53867 + 5.27160i) q^{82} +(-5.46146 + 6.84845i) q^{83} +(3.74032 + 2.64764i) q^{84} +(-0.995250 - 1.24800i) q^{85} +(1.13076 - 0.258088i) q^{86} +(3.71295 + 2.26149i) q^{87} +(-0.670361 - 0.322829i) q^{88} +(-8.77266 + 11.0006i) q^{89} +(0.639497 + 0.286304i) q^{90} +(-2.78861 - 1.58820i) q^{91} +(0.829491 - 1.72245i) q^{92} +(3.08121 - 3.16826i) q^{93} +(-5.32540 - 1.21549i) q^{94} +(-0.469763 - 0.975473i) q^{95} +(-1.47926 - 0.900991i) q^{96} +3.82421i q^{97} +(-0.961765 + 6.93361i) q^{98} +(1.43978 + 1.70571i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 20 q^{4} - 14 q^{6} + 4 q^{7} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 20 q^{4} - 14 q^{6} + 4 q^{7} - 10 q^{9} + 12 q^{15} - 20 q^{16} - 8 q^{18} - 12 q^{21} - 10 q^{22} - 24 q^{25} + 42 q^{27} - 4 q^{28} + 8 q^{30} + 10 q^{36} - 58 q^{37} + 8 q^{39} - 14 q^{40} - 2 q^{42} - 12 q^{43} + 14 q^{45} - 60 q^{46} - 36 q^{49} - 24 q^{51} - 42 q^{52} - 14 q^{55} + 34 q^{57} + 50 q^{58} - 12 q^{60} - 154 q^{61} + 20 q^{64} - 28 q^{67} + 28 q^{69} - 38 q^{70} + 8 q^{72} - 84 q^{75} - 16 q^{78} + 16 q^{79} + 22 q^{81} - 30 q^{84} - 32 q^{85} - 56 q^{87} - 4 q^{88} - 42 q^{90} + 88 q^{91} + 14 q^{93} + 112 q^{94} - 224 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(199\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.781831 0.623490i 0.552838 0.440874i
\(3\) 1.24168 + 1.20757i 0.716887 + 0.697190i
\(4\) 0.222521 0.974928i 0.111260 0.487464i
\(5\) 0.210425 0.101335i 0.0941048 0.0453185i −0.386239 0.922399i \(-0.626226\pi\)
0.480344 + 0.877080i \(0.340512\pi\)
\(6\) 1.72369 + 0.169937i 0.703695 + 0.0693764i
\(7\) 0.981077 + 2.45713i 0.370812 + 0.928708i
\(8\) −0.433884 0.900969i −0.153401 0.318541i
\(9\) 0.0835604 + 2.99884i 0.0278535 + 0.999612i
\(10\) 0.101335 0.210425i 0.0320450 0.0665421i
\(11\) 0.581717 0.463904i 0.175394 0.139872i −0.531858 0.846834i \(-0.678506\pi\)
0.707252 + 0.706961i \(0.249935\pi\)
\(12\) 1.45359 0.941844i 0.419616 0.271887i
\(13\) −0.948322 + 0.756262i −0.263017 + 0.209749i −0.746115 0.665817i \(-0.768083\pi\)
0.483098 + 0.875566i \(0.339512\pi\)
\(14\) 2.29903 + 1.30937i 0.614442 + 0.349944i
\(15\) 0.383650 + 0.128276i 0.0990580 + 0.0331207i
\(16\) −0.900969 0.433884i −0.225242 0.108471i
\(17\) −1.52085 6.66329i −0.368861 1.61608i −0.729914 0.683539i \(-0.760440\pi\)
0.361053 0.932545i \(-0.382417\pi\)
\(18\) 1.93507 + 2.29249i 0.456101 + 0.540344i
\(19\) 4.63573i 1.06351i −0.846898 0.531755i \(-0.821533\pi\)
0.846898 0.531755i \(-0.178467\pi\)
\(20\) −0.0519706 0.227698i −0.0116210 0.0509148i
\(21\) −1.74896 + 4.23570i −0.381655 + 0.924305i
\(22\) 0.165565 0.725390i 0.0352987 0.154654i
\(23\) 1.86385 + 0.425411i 0.388639 + 0.0887044i 0.412376 0.911014i \(-0.364699\pi\)
−0.0237364 + 0.999718i \(0.507556\pi\)
\(24\) 0.549234 1.64266i 0.112112 0.335307i
\(25\) −3.08344 + 3.86651i −0.616688 + 0.773302i
\(26\) −0.269907 + 1.18254i −0.0529331 + 0.231915i
\(27\) −3.51754 + 3.82451i −0.676951 + 0.736028i
\(28\) 2.61383 0.409716i 0.493968 0.0774291i
\(29\) 2.44707 0.558528i 0.454410 0.103716i 0.0108111 0.999942i \(-0.496559\pi\)
0.443599 + 0.896225i \(0.353702\pi\)
\(30\) 0.379928 0.138912i 0.0693651 0.0253617i
\(31\) 2.55159i 0.458278i −0.973394 0.229139i \(-0.926409\pi\)
0.973394 0.229139i \(-0.0735911\pi\)
\(32\) −0.974928 + 0.222521i −0.172345 + 0.0393365i
\(33\) 1.28251 + 0.126441i 0.223256 + 0.0220105i
\(34\) −5.34354 4.26133i −0.916410 0.730812i
\(35\) 0.455437 + 0.417623i 0.0769828 + 0.0705912i
\(36\) 2.94224 + 0.585838i 0.490374 + 0.0976397i
\(37\) 0.0943376 + 0.413320i 0.0155090 + 0.0679494i 0.982090 0.188411i \(-0.0603337\pi\)
−0.966581 + 0.256360i \(0.917477\pi\)
\(38\) −2.89033 3.62436i −0.468874 0.587949i
\(39\) −2.09075 0.206125i −0.334789 0.0330064i
\(40\) −0.182600 0.145618i −0.0288715 0.0230243i
\(41\) −5.27160 + 2.53867i −0.823286 + 0.396474i −0.797593 0.603196i \(-0.793894\pi\)
−0.0256933 + 0.999670i \(0.508179\pi\)
\(42\) 1.27352 + 4.40206i 0.196508 + 0.679253i
\(43\) 1.04498 + 0.503234i 0.159357 + 0.0767424i 0.511862 0.859067i \(-0.328956\pi\)
−0.352505 + 0.935810i \(0.614670\pi\)
\(44\) −0.322829 0.670361i −0.0486683 0.101061i
\(45\) 0.321471 + 0.622561i 0.0479220 + 0.0928060i
\(46\) 1.72245 0.829491i 0.253962 0.122302i
\(47\) −3.40572 4.27064i −0.496775 0.622937i 0.468723 0.883345i \(-0.344714\pi\)
−0.965499 + 0.260409i \(0.916143\pi\)
\(48\) −0.594775 1.62673i −0.0858484 0.234798i
\(49\) −5.07498 + 4.82127i −0.724997 + 0.688752i
\(50\) 4.94545i 0.699393i
\(51\) 6.15795 10.1102i 0.862286 1.41572i
\(52\) 0.526279 + 1.09283i 0.0729818 + 0.151548i
\(53\) −11.3114 2.58176i −1.55374 0.354632i −0.642431 0.766344i \(-0.722074\pi\)
−0.911314 + 0.411712i \(0.864931\pi\)
\(54\) −0.365580 + 5.18328i −0.0497492 + 0.705355i
\(55\) 0.0753979 0.156565i 0.0101666 0.0211113i
\(56\) 1.78812 1.95003i 0.238948 0.260584i
\(57\) 5.59796 5.75612i 0.741468 0.762417i
\(58\) 1.56496 1.96240i 0.205489 0.257676i
\(59\) −9.60560 4.62582i −1.25054 0.602230i −0.312886 0.949791i \(-0.601296\pi\)
−0.937657 + 0.347561i \(0.887010\pi\)
\(60\) 0.210430 0.345487i 0.0271664 0.0446022i
\(61\) 10.0456 2.29284i 1.28621 0.293568i 0.475861 0.879521i \(-0.342137\pi\)
0.810345 + 0.585953i \(0.199280\pi\)
\(62\) −1.59089 1.99491i −0.202043 0.253354i
\(63\) −7.28655 + 3.14741i −0.918019 + 0.396536i
\(64\) −0.623490 + 0.781831i −0.0779362 + 0.0977289i
\(65\) −0.122914 + 0.255235i −0.0152457 + 0.0316579i
\(66\) 1.08154 0.700774i 0.133128 0.0862593i
\(67\) 5.04647 0.616524 0.308262 0.951301i \(-0.400253\pi\)
0.308262 + 0.951301i \(0.400253\pi\)
\(68\) −6.83465 −0.828823
\(69\) 1.80060 + 2.77895i 0.216767 + 0.334546i
\(70\) 0.616458 + 0.0425509i 0.0736809 + 0.00508581i
\(71\) 9.18658 + 2.09678i 1.09025 + 0.248842i 0.729609 0.683864i \(-0.239702\pi\)
0.360637 + 0.932706i \(0.382559\pi\)
\(72\) 2.66560 1.37643i 0.314144 0.162214i
\(73\) 3.56590 + 2.84371i 0.417357 + 0.332831i 0.809549 0.587052i \(-0.199712\pi\)
−0.392192 + 0.919883i \(0.628283\pi\)
\(74\) 0.331457 + 0.264328i 0.0385311 + 0.0307275i
\(75\) −8.49773 + 1.07752i −0.981234 + 0.124422i
\(76\) −4.51951 1.03155i −0.518423 0.118327i
\(77\) 1.71058 + 0.974230i 0.194939 + 0.111024i
\(78\) −1.76313 + 1.14241i −0.199636 + 0.129352i
\(79\) 4.07803 0.458814 0.229407 0.973331i \(-0.426321\pi\)
0.229407 + 0.973331i \(0.426321\pi\)
\(80\) −0.233554 −0.0261121
\(81\) −8.98604 + 0.501168i −0.998448 + 0.0556853i
\(82\) −2.53867 + 5.27160i −0.280349 + 0.582151i
\(83\) −5.46146 + 6.84845i −0.599473 + 0.751715i −0.985296 0.170858i \(-0.945346\pi\)
0.385823 + 0.922573i \(0.373918\pi\)
\(84\) 3.74032 + 2.64764i 0.408102 + 0.288882i
\(85\) −0.995250 1.24800i −0.107950 0.135365i
\(86\) 1.13076 0.258088i 0.121933 0.0278303i
\(87\) 3.71295 + 2.26149i 0.398070 + 0.242457i
\(88\) −0.670361 0.322829i −0.0714607 0.0344137i
\(89\) −8.77266 + 11.0006i −0.929900 + 1.16606i 0.0559507 + 0.998434i \(0.482181\pi\)
−0.985851 + 0.167624i \(0.946390\pi\)
\(90\) 0.639497 + 0.286304i 0.0674089 + 0.0301791i
\(91\) −2.78861 1.58820i −0.292326 0.166489i
\(92\) 0.829491 1.72245i 0.0864804 0.179578i
\(93\) 3.08121 3.16826i 0.319507 0.328534i
\(94\) −5.32540 1.21549i −0.549273 0.125368i
\(95\) −0.469763 0.975473i −0.0481967 0.100081i
\(96\) −1.47926 0.900991i −0.150977 0.0919570i
\(97\) 3.82421i 0.388289i 0.980973 + 0.194145i \(0.0621931\pi\)
−0.980973 + 0.194145i \(0.937807\pi\)
\(98\) −0.961765 + 6.93361i −0.0971529 + 0.700401i
\(99\) 1.43978 + 1.70571i 0.144703 + 0.171430i
\(100\) 3.08344 + 3.86651i 0.308344 + 0.386651i
\(101\) 6.55700 3.15769i 0.652446 0.314201i −0.0782203 0.996936i \(-0.524924\pi\)
0.730666 + 0.682735i \(0.239209\pi\)
\(102\) −1.48914 11.7439i −0.147447 1.16282i
\(103\) −7.53504 15.6467i −0.742450 1.54171i −0.837621 0.546252i \(-0.816054\pi\)
0.0951712 0.995461i \(-0.469660\pi\)
\(104\) 1.09283 + 0.526279i 0.107161 + 0.0516059i
\(105\) 0.0612002 + 1.06853i 0.00597252 + 0.104278i
\(106\) −10.4533 + 5.03406i −1.01532 + 0.488951i
\(107\) −8.40368 6.70171i −0.812414 0.647879i 0.126525 0.991963i \(-0.459618\pi\)
−0.938939 + 0.344085i \(0.888189\pi\)
\(108\) 2.94590 + 4.28038i 0.283469 + 0.411880i
\(109\) 9.84939 + 12.3507i 0.943400 + 1.18299i 0.982969 + 0.183770i \(0.0588300\pi\)
−0.0395692 + 0.999217i \(0.512599\pi\)
\(110\) −0.0386684 0.169418i −0.00368689 0.0161533i
\(111\) −0.381974 + 0.627132i −0.0362554 + 0.0595247i
\(112\) 0.182189 2.63947i 0.0172152 0.249407i
\(113\) 14.9443 + 11.9177i 1.40584 + 1.12112i 0.975888 + 0.218272i \(0.0700420\pi\)
0.429955 + 0.902850i \(0.358529\pi\)
\(114\) 0.787782 7.99059i 0.0737826 0.748387i
\(115\) 0.435309 0.0993564i 0.0405928 0.00926503i
\(116\) 2.51000i 0.233048i
\(117\) −2.34715 2.78067i −0.216994 0.257073i
\(118\) −10.3941 + 2.37239i −0.956856 + 0.218396i
\(119\) 14.8805 10.2741i 1.36409 0.941828i
\(120\) −0.0508871 0.401314i −0.00464534 0.0366347i
\(121\) −2.32454 + 10.1845i −0.211322 + 0.925862i
\(122\) 6.42440 8.05594i 0.581637 0.729350i
\(123\) −9.61128 3.21359i −0.866620 0.289760i
\(124\) −2.48761 0.567781i −0.223394 0.0509883i
\(125\) −0.516871 + 2.26456i −0.0462304 + 0.202548i
\(126\) −3.73448 + 7.00383i −0.332694 + 0.623951i
\(127\) 0.399422 + 1.74998i 0.0354429 + 0.155286i 0.989553 0.144171i \(-0.0460516\pi\)
−0.954110 + 0.299457i \(0.903194\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) 0.689841 + 1.88674i 0.0607371 + 0.166118i
\(130\) 0.0630377 + 0.276186i 0.00552877 + 0.0242231i
\(131\) 13.9518 + 6.71883i 1.21897 + 0.587027i 0.929026 0.370015i \(-0.120647\pi\)
0.289949 + 0.957042i \(0.406362\pi\)
\(132\) 0.408655 1.22221i 0.0355688 0.106380i
\(133\) 11.3906 4.54801i 0.987690 0.394363i
\(134\) 3.94549 3.14642i 0.340838 0.271809i
\(135\) −0.352620 + 1.16122i −0.0303487 + 0.0999421i
\(136\) −5.34354 + 4.26133i −0.458205 + 0.365406i
\(137\) 8.13144 16.8851i 0.694716 1.44259i −0.192528 0.981291i \(-0.561669\pi\)
0.887244 0.461301i \(-0.152617\pi\)
\(138\) 3.14041 + 1.05002i 0.267330 + 0.0893833i
\(139\) 4.96817 + 10.3165i 0.421395 + 0.875035i 0.998303 + 0.0582264i \(0.0185445\pi\)
−0.576909 + 0.816809i \(0.695741\pi\)
\(140\) 0.508497 0.351088i 0.0429758 0.0296723i
\(141\) 0.928255 9.41542i 0.0781732 0.792922i
\(142\) 8.48968 4.08841i 0.712438 0.343092i
\(143\) −0.200823 + 0.879861i −0.0167936 + 0.0735777i
\(144\) 1.22586 2.73811i 0.102155 0.228176i
\(145\) 0.458326 0.365503i 0.0380619 0.0303533i
\(146\) 4.56096 0.377467
\(147\) −12.1235 0.141885i −0.999932 0.0117024i
\(148\) 0.423949 0.0348484
\(149\) 7.58273 6.04703i 0.621202 0.495392i −0.261576 0.965183i \(-0.584242\pi\)
0.882778 + 0.469791i \(0.155671\pi\)
\(150\) −5.97197 + 6.14069i −0.487609 + 0.501385i
\(151\) 5.04408 22.0996i 0.410481 1.79844i −0.171443 0.985194i \(-0.554843\pi\)
0.581925 0.813243i \(-0.302300\pi\)
\(152\) −4.17665 + 2.01137i −0.338771 + 0.163144i
\(153\) 19.8550 5.11757i 1.60518 0.413731i
\(154\) 1.94481 0.304847i 0.156717 0.0245653i
\(155\) −0.258565 0.536917i −0.0207685 0.0431262i
\(156\) −0.666193 + 1.99247i −0.0533382 + 0.159525i
\(157\) 7.14332 14.8333i 0.570099 1.18382i −0.394204 0.919023i \(-0.628980\pi\)
0.964303 0.264800i \(-0.0853061\pi\)
\(158\) 3.18833 2.54261i 0.253650 0.202279i
\(159\) −10.9276 16.8651i −0.866613 1.33749i
\(160\) −0.182600 + 0.145618i −0.0144358 + 0.0115121i
\(161\) 0.783288 + 4.99708i 0.0617317 + 0.393825i
\(162\) −6.71309 + 5.99453i −0.527430 + 0.470975i
\(163\) 0.507536 + 0.244417i 0.0397533 + 0.0191442i 0.453655 0.891177i \(-0.350120\pi\)
−0.413901 + 0.910322i \(0.635834\pi\)
\(164\) 1.30198 + 5.70434i 0.101667 + 0.445434i
\(165\) 0.282684 0.103357i 0.0220069 0.00804631i
\(166\) 8.75950i 0.679869i
\(167\) 0.192729 + 0.844402i 0.0149138 + 0.0653418i 0.981837 0.189725i \(-0.0607597\pi\)
−0.966923 + 0.255067i \(0.917903\pi\)
\(168\) 4.57508 0.262039i 0.352975 0.0202167i
\(169\) −2.56539 + 11.2397i −0.197338 + 0.864593i
\(170\) −1.55624 0.355201i −0.119358 0.0272426i
\(171\) 13.9018 0.387364i 1.06310 0.0296224i
\(172\) 0.723146 0.906796i 0.0551393 0.0691425i
\(173\) −4.57529 + 20.0457i −0.347853 + 1.52404i 0.434192 + 0.900821i \(0.357034\pi\)
−0.782044 + 0.623223i \(0.785823\pi\)
\(174\) 4.31292 0.546884i 0.326961 0.0414592i
\(175\) −12.5256 3.78307i −0.946847 0.285973i
\(176\) −0.725390 + 0.165565i −0.0546783 + 0.0124800i
\(177\) −6.34114 17.3432i −0.476630 1.30360i
\(178\) 14.0703i 1.05461i
\(179\) 6.11415 1.39552i 0.456993 0.104306i 0.0121737 0.999926i \(-0.496125\pi\)
0.444820 + 0.895620i \(0.353268\pi\)
\(180\) 0.678487 0.174878i 0.0505714 0.0130346i
\(181\) 12.6136 + 10.0590i 0.937562 + 0.747681i 0.967763 0.251863i \(-0.0810432\pi\)
−0.0302007 + 0.999544i \(0.509615\pi\)
\(182\) −3.17045 + 0.496965i −0.235009 + 0.0368375i
\(183\) 15.2422 + 9.28375i 1.12674 + 0.686274i
\(184\) −0.425411 1.86385i −0.0313617 0.137405i
\(185\) 0.0617348 + 0.0774130i 0.00453883 + 0.00569152i
\(186\) 0.433609 4.39815i 0.0317937 0.322488i
\(187\) −3.97583 3.17062i −0.290742 0.231859i
\(188\) −4.92141 + 2.37003i −0.358931 + 0.172852i
\(189\) −12.8483 4.89092i −0.934577 0.355762i
\(190\) −0.975473 0.469763i −0.0707682 0.0340802i
\(191\) 3.52784 + 7.32563i 0.255265 + 0.530064i 0.988738 0.149655i \(-0.0478162\pi\)
−0.733473 + 0.679719i \(0.762102\pi\)
\(192\) −1.71829 + 0.217882i −0.124007 + 0.0157243i
\(193\) −17.3479 + 8.35429i −1.24873 + 0.601355i −0.937170 0.348873i \(-0.886565\pi\)
−0.311556 + 0.950228i \(0.600850\pi\)
\(194\) 2.38435 + 2.98989i 0.171187 + 0.214661i
\(195\) −0.460834 + 0.168493i −0.0330010 + 0.0120660i
\(196\) 3.57110 + 6.02057i 0.255079 + 0.430041i
\(197\) 10.5099i 0.748796i 0.927268 + 0.374398i \(0.122151\pi\)
−0.927268 + 0.374398i \(0.877849\pi\)
\(198\) 2.18916 + 0.435890i 0.155577 + 0.0309774i
\(199\) −10.7159 22.2518i −0.759631 1.57739i −0.815367 0.578945i \(-0.803465\pi\)
0.0557352 0.998446i \(-0.482250\pi\)
\(200\) 4.82146 + 1.10047i 0.340929 + 0.0778147i
\(201\) 6.26612 + 6.09395i 0.441978 + 0.429834i
\(202\) 3.15769 6.55700i 0.222174 0.461349i
\(203\) 3.77314 + 5.46481i 0.264823 + 0.383555i
\(204\) −8.48647 8.25330i −0.594172 0.577846i
\(205\) −0.852019 + 1.06840i −0.0595076 + 0.0746201i
\(206\) −15.6467 7.53504i −1.09016 0.524991i
\(207\) −1.11999 + 5.62492i −0.0778450 + 0.390959i
\(208\) 1.18254 0.269907i 0.0819943 0.0187147i
\(209\) −2.15054 2.69669i −0.148756 0.186534i
\(210\) 0.714064 + 0.797250i 0.0492751 + 0.0550155i
\(211\) 0.631462 0.791829i 0.0434717 0.0545117i −0.759620 0.650367i \(-0.774615\pi\)
0.803092 + 0.595855i \(0.203187\pi\)
\(212\) −5.03406 + 10.4533i −0.345741 + 0.717938i
\(213\) 8.87483 + 13.6970i 0.608094 + 0.938500i
\(214\) −10.7487 −0.734766
\(215\) 0.270884 0.0184741
\(216\) 4.97197 + 1.50980i 0.338300 + 0.102729i
\(217\) 6.26958 2.50330i 0.425607 0.169935i
\(218\) 15.4011 + 3.51521i 1.04310 + 0.238080i
\(219\) 0.993749 + 7.83705i 0.0671514 + 0.529579i
\(220\) −0.135862 0.108347i −0.00915984 0.00730472i
\(221\) 6.48145 + 5.16878i 0.435989 + 0.347690i
\(222\) 0.0923708 + 0.728468i 0.00619952 + 0.0488916i
\(223\) 4.03725 + 0.921477i 0.270355 + 0.0617067i 0.355549 0.934658i \(-0.384294\pi\)
−0.0851943 + 0.996364i \(0.527151\pi\)
\(224\) −1.50324 2.17721i −0.100440 0.145471i
\(225\) −11.8527 8.92364i −0.790179 0.594909i
\(226\) 19.1145 1.27148
\(227\) 11.2914 0.749438 0.374719 0.927138i \(-0.377739\pi\)
0.374719 + 0.927138i \(0.377739\pi\)
\(228\) −4.36614 6.73847i −0.289154 0.446266i
\(229\) −0.978738 + 2.03237i −0.0646768 + 0.134303i −0.930801 0.365526i \(-0.880889\pi\)
0.866124 + 0.499828i \(0.166604\pi\)
\(230\) 0.278390 0.349091i 0.0183565 0.0230184i
\(231\) 0.947555 + 3.27533i 0.0623446 + 0.215501i
\(232\) −1.56496 1.96240i −0.102745 0.128838i
\(233\) −24.3358 + 5.55449i −1.59429 + 0.363887i −0.925256 0.379343i \(-0.876150\pi\)
−0.669036 + 0.743230i \(0.733293\pi\)
\(234\) −3.56879 0.710593i −0.233299 0.0464529i
\(235\) −1.14941 0.553528i −0.0749795 0.0361082i
\(236\) −6.64728 + 8.33543i −0.432701 + 0.542590i
\(237\) 5.06362 + 4.92450i 0.328918 + 0.319880i
\(238\) 5.22822 17.3105i 0.338895 1.12207i
\(239\) −1.70262 + 3.53554i −0.110134 + 0.228695i −0.948750 0.316028i \(-0.897651\pi\)
0.838616 + 0.544722i \(0.183365\pi\)
\(240\) −0.290000 0.282032i −0.0187194 0.0182051i
\(241\) −7.08227 1.61648i −0.456209 0.104127i −0.0117599 0.999931i \(-0.503743\pi\)
−0.444449 + 0.895804i \(0.646601\pi\)
\(242\) 4.53252 + 9.41188i 0.291362 + 0.605019i
\(243\) −11.7630 10.2290i −0.754598 0.656188i
\(244\) 10.3039i 0.659642i
\(245\) −0.579336 + 1.52879i −0.0370124 + 0.0976706i
\(246\) −9.51805 + 3.48005i −0.606848 + 0.221880i
\(247\) 3.50583 + 4.39617i 0.223070 + 0.279722i
\(248\) −2.29890 + 1.10709i −0.145980 + 0.0703004i
\(249\) −15.0514 + 1.90853i −0.953842 + 0.120948i
\(250\) 1.00782 + 2.09277i 0.0637404 + 0.132358i
\(251\) −13.7471 6.62024i −0.867707 0.417866i −0.0535876 0.998563i \(-0.517066\pi\)
−0.814119 + 0.580697i \(0.802780\pi\)
\(252\) 1.44709 + 7.80423i 0.0911578 + 0.491620i
\(253\) 1.28158 0.617178i 0.0805725 0.0388016i
\(254\) 1.40338 + 1.11915i 0.0880556 + 0.0702220i
\(255\) 0.271263 2.75146i 0.0169871 0.172303i
\(256\) 0.623490 + 0.781831i 0.0389681 + 0.0488645i
\(257\) −4.56517 20.0013i −0.284767 1.24765i −0.891602 0.452820i \(-0.850418\pi\)
0.606835 0.794828i \(-0.292439\pi\)
\(258\) 1.71570 + 1.04500i 0.106815 + 0.0650589i
\(259\) −0.923028 + 0.637298i −0.0573542 + 0.0395998i
\(260\) 0.221484 + 0.176628i 0.0137359 + 0.0109540i
\(261\) 1.87941 + 7.29170i 0.116333 + 0.451345i
\(262\) 15.0971 3.44581i 0.932701 0.212883i
\(263\) 20.3888i 1.25723i 0.777719 + 0.628613i \(0.216377\pi\)
−0.777719 + 0.628613i \(0.783623\pi\)
\(264\) −0.442539 1.21036i −0.0272364 0.0744924i
\(265\) −2.64183 + 0.602980i −0.162286 + 0.0370408i
\(266\) 6.06989 10.6577i 0.372169 0.653466i
\(267\) −24.1768 + 3.06565i −1.47960 + 0.187615i
\(268\) 1.12294 4.91994i 0.0685948 0.300533i
\(269\) −4.48759 + 5.62726i −0.273613 + 0.343100i −0.899585 0.436745i \(-0.856131\pi\)
0.625972 + 0.779846i \(0.284702\pi\)
\(270\) 0.448321 + 1.12774i 0.0272840 + 0.0686318i
\(271\) −1.21533 0.277392i −0.0738262 0.0168503i 0.185448 0.982654i \(-0.440626\pi\)
−0.259274 + 0.965804i \(0.583483\pi\)
\(272\) −1.52085 + 6.66329i −0.0922152 + 0.404021i
\(273\) −1.54471 5.33948i −0.0934904 0.323160i
\(274\) −4.17028 18.2712i −0.251936 1.10380i
\(275\) 3.67964i 0.221890i
\(276\) 3.10995 1.13708i 0.187197 0.0684441i
\(277\) 2.60355 + 11.4069i 0.156432 + 0.685373i 0.990932 + 0.134365i \(0.0428995\pi\)
−0.834500 + 0.551008i \(0.814243\pi\)
\(278\) 10.3165 + 4.96817i 0.618743 + 0.297971i
\(279\) 7.65179 0.213211i 0.458101 0.0127646i
\(280\) 0.178659 0.591534i 0.0106769 0.0353509i
\(281\) 11.3069 9.01699i 0.674516 0.537909i −0.225239 0.974303i \(-0.572316\pi\)
0.899755 + 0.436395i \(0.143745\pi\)
\(282\) −5.14468 7.94003i −0.306361 0.472822i
\(283\) 7.14978 5.70176i 0.425011 0.338935i −0.387512 0.921865i \(-0.626665\pi\)
0.812522 + 0.582930i \(0.198094\pi\)
\(284\) 4.08841 8.48968i 0.242603 0.503770i
\(285\) 0.594652 1.77850i 0.0352242 0.105349i
\(286\) 0.391575 + 0.813114i 0.0231543 + 0.0480804i
\(287\) −11.4097 10.4624i −0.673493 0.617575i
\(288\) −0.748769 2.90506i −0.0441216 0.171182i
\(289\) −26.7699 + 12.8917i −1.57470 + 0.758336i
\(290\) 0.130446 0.571523i 0.00766007 0.0335610i
\(291\) −4.61799 + 4.74846i −0.270711 + 0.278360i
\(292\) 3.56590 2.84371i 0.208678 0.166416i
\(293\) −8.04047 −0.469729 −0.234865 0.972028i \(-0.575465\pi\)
−0.234865 + 0.972028i \(0.575465\pi\)
\(294\) −9.56702 + 7.44796i −0.557960 + 0.434374i
\(295\) −2.49001 −0.144974
\(296\) 0.331457 0.264328i 0.0192655 0.0153638i
\(297\) −0.272008 + 3.85659i −0.0157835 + 0.223782i
\(298\) 2.15816 9.45551i 0.125019 0.547743i
\(299\) −2.08925 + 1.00613i −0.120825 + 0.0581860i
\(300\) −0.840415 + 8.52445i −0.0485214 + 0.492159i
\(301\) −0.211309 + 3.06135i −0.0121797 + 0.176453i
\(302\) −9.83523 20.4231i −0.565954 1.17522i
\(303\) 11.9548 + 3.99718i 0.686788 + 0.229632i
\(304\) −2.01137 + 4.17665i −0.115360 + 0.239547i
\(305\) 1.88149 1.50044i 0.107734 0.0859150i
\(306\) 12.3325 16.3805i 0.705004 0.936410i
\(307\) −10.8187 + 8.62764i −0.617457 + 0.492405i −0.881549 0.472092i \(-0.843499\pi\)
0.264092 + 0.964497i \(0.414928\pi\)
\(308\) 1.33044 1.45091i 0.0758091 0.0826732i
\(309\) 9.53828 28.5273i 0.542614 1.62286i
\(310\) −0.536917 0.258565i −0.0304948 0.0146855i
\(311\) −5.68124 24.8911i −0.322153 1.41145i −0.833713 0.552198i \(-0.813789\pi\)
0.511560 0.859248i \(-0.329068\pi\)
\(312\) 0.721432 + 1.97314i 0.0408430 + 0.111707i
\(313\) 2.48236i 0.140311i 0.997536 + 0.0701556i \(0.0223496\pi\)
−0.997536 + 0.0701556i \(0.977650\pi\)
\(314\) −3.66351 16.0509i −0.206744 0.905805i
\(315\) −1.21433 + 1.40068i −0.0684196 + 0.0789192i
\(316\) 0.907447 3.97578i 0.0510479 0.223655i
\(317\) −0.323966 0.0739432i −0.0181957 0.00415306i 0.213413 0.976962i \(-0.431542\pi\)
−0.231609 + 0.972809i \(0.574399\pi\)
\(318\) −19.0587 6.37240i −1.06876 0.357346i
\(319\) 1.16440 1.46011i 0.0651939 0.0817506i
\(320\) −0.0519706 + 0.227698i −0.00290524 + 0.0127287i
\(321\) −2.34195 18.4694i −0.130715 1.03086i
\(322\) 3.72803 + 3.41850i 0.207755 + 0.190506i
\(323\) −30.8892 + 7.05026i −1.71872 + 0.392287i
\(324\) −1.51098 + 8.87226i −0.0839433 + 0.492903i
\(325\) 5.99858i 0.332742i
\(326\) 0.549199 0.125351i 0.0304173 0.00694256i
\(327\) −2.68453 + 27.2295i −0.148455 + 1.50580i
\(328\) 4.57453 + 3.64806i 0.252586 + 0.201431i
\(329\) 7.15224 12.5581i 0.394316 0.692352i
\(330\) 0.156569 0.257058i 0.00861885 0.0141506i
\(331\) −0.966187 4.23314i −0.0531064 0.232675i 0.941409 0.337268i \(-0.109503\pi\)
−0.994515 + 0.104594i \(0.966646\pi\)
\(332\) 5.46146 + 6.84845i 0.299736 + 0.375858i
\(333\) −1.23160 + 0.317440i −0.0674910 + 0.0173956i
\(334\) 0.677158 + 0.540016i 0.0370524 + 0.0295483i
\(335\) 1.06190 0.511385i 0.0580179 0.0279399i
\(336\) 3.41356 3.05738i 0.186225 0.166794i
\(337\) −17.7926 8.56846i −0.969225 0.466754i −0.118839 0.992914i \(-0.537917\pi\)
−0.850386 + 0.526160i \(0.823631\pi\)
\(338\) 5.00214 + 10.3870i 0.272080 + 0.564981i
\(339\) 4.16470 + 32.8443i 0.226195 + 1.78386i
\(340\) −1.43818 + 0.692590i −0.0779962 + 0.0375610i
\(341\) −1.18369 1.48430i −0.0641005 0.0803795i
\(342\) 10.6274 8.97049i 0.574661 0.485068i
\(343\) −16.8254 7.73984i −0.908487 0.417912i
\(344\) 1.15984i 0.0625341i
\(345\) 0.660496 + 0.402296i 0.0355599 + 0.0216589i
\(346\) 8.92116 + 18.5250i 0.479604 + 0.995909i
\(347\) 24.3096 + 5.54851i 1.30501 + 0.297860i 0.817839 0.575447i \(-0.195172\pi\)
0.487170 + 0.873307i \(0.338029\pi\)
\(348\) 3.03100 3.11663i 0.162479 0.167069i
\(349\) 8.67285 18.0094i 0.464247 0.964019i −0.529068 0.848580i \(-0.677458\pi\)
0.993315 0.115439i \(-0.0368275\pi\)
\(350\) −12.1516 + 4.85187i −0.649531 + 0.259343i
\(351\) 0.443431 6.28705i 0.0236686 0.335578i
\(352\) −0.463904 + 0.581717i −0.0247262 + 0.0310056i
\(353\) 2.99449 + 1.44207i 0.159381 + 0.0767538i 0.511874 0.859061i \(-0.328952\pi\)
−0.352493 + 0.935815i \(0.614666\pi\)
\(354\) −15.7710 9.60584i −0.838221 0.510544i
\(355\) 2.14556 0.489710i 0.113875 0.0259911i
\(356\) 8.77266 + 11.0006i 0.464950 + 0.583029i
\(357\) 30.8836 + 5.21197i 1.63453 + 0.275847i
\(358\) 3.91015 4.90317i 0.206658 0.259141i
\(359\) −12.8925 + 26.7715i −0.680439 + 1.41295i 0.218924 + 0.975742i \(0.429745\pi\)
−0.899363 + 0.437204i \(0.855969\pi\)
\(360\) 0.421428 0.559754i 0.0222112 0.0295016i
\(361\) −2.49003 −0.131054
\(362\) 16.1334 0.847953
\(363\) −15.1848 + 9.83887i −0.796995 + 0.516407i
\(364\) −2.16890 + 2.36529i −0.113681 + 0.123975i
\(365\) 1.03852 + 0.237036i 0.0543587 + 0.0124070i
\(366\) 17.7052 2.24504i 0.925464 0.117350i
\(367\) 14.0017 + 11.1659i 0.730880 + 0.582858i 0.916629 0.399740i \(-0.130900\pi\)
−0.185748 + 0.982597i \(0.559471\pi\)
\(368\) −1.49469 1.19198i −0.0779161 0.0621360i
\(369\) −8.05355 15.5965i −0.419251 0.811924i
\(370\) 0.0965324 + 0.0220329i 0.00501848 + 0.00114544i
\(371\) −4.75366 30.3266i −0.246798 1.57448i
\(372\) −2.40320 3.70897i −0.124600 0.192301i
\(373\) −31.5372 −1.63293 −0.816466 0.577393i \(-0.804070\pi\)
−0.816466 + 0.577393i \(0.804070\pi\)
\(374\) −5.08528 −0.262954
\(375\) −3.37640 + 2.18771i −0.174357 + 0.112973i
\(376\) −2.37003 + 4.92141i −0.122225 + 0.253802i
\(377\) −1.89822 + 2.38029i −0.0977633 + 0.122591i
\(378\) −13.0946 + 4.18691i −0.673516 + 0.215352i
\(379\) 17.2401 + 21.6184i 0.885563 + 1.11046i 0.993217 + 0.116273i \(0.0370947\pi\)
−0.107654 + 0.994188i \(0.534334\pi\)
\(380\) −1.05555 + 0.240922i −0.0541485 + 0.0123590i
\(381\) −1.61726 + 2.65525i −0.0828550 + 0.136033i
\(382\) 7.32563 + 3.52784i 0.374812 + 0.180500i
\(383\) −4.32920 + 5.42864i −0.221212 + 0.277391i −0.880037 0.474905i \(-0.842482\pi\)
0.658825 + 0.752296i \(0.271054\pi\)
\(384\) −1.20757 + 1.24168i −0.0616234 + 0.0633644i
\(385\) 0.458673 + 0.0316598i 0.0233761 + 0.00161353i
\(386\) −8.35429 + 17.3479i −0.425222 + 0.882983i
\(387\) −1.42180 + 3.17576i −0.0722740 + 0.161433i
\(388\) 3.72833 + 0.850966i 0.189277 + 0.0432013i
\(389\) 11.7658 + 24.4319i 0.596548 + 1.23875i 0.952585 + 0.304273i \(0.0984136\pi\)
−0.356036 + 0.934472i \(0.615872\pi\)
\(390\) −0.255241 + 0.419059i −0.0129246 + 0.0212199i
\(391\) 13.0663i 0.660793i
\(392\) 6.54576 + 2.48053i 0.330611 + 0.125285i
\(393\) 9.21029 + 25.1904i 0.464598 + 1.27069i
\(394\) 6.55279 + 8.21693i 0.330125 + 0.413963i
\(395\) 0.858118 0.413248i 0.0431766 0.0207927i
\(396\) 1.98333 1.02413i 0.0996659 0.0514643i
\(397\) 11.8978 + 24.7061i 0.597136 + 1.23996i 0.952301 + 0.305161i \(0.0987104\pi\)
−0.355165 + 0.934804i \(0.615575\pi\)
\(398\) −22.2518 10.7159i −1.11538 0.537140i
\(399\) 19.6356 + 8.10773i 0.983008 + 0.405894i
\(400\) 4.45570 2.14575i 0.222785 0.107288i
\(401\) −11.5245 9.19046i −0.575505 0.458950i 0.291973 0.956427i \(-0.405688\pi\)
−0.867477 + 0.497477i \(0.834260\pi\)
\(402\) 8.69857 + 0.857581i 0.433845 + 0.0427723i
\(403\) 1.92967 + 2.41973i 0.0961236 + 0.120535i
\(404\) −1.61945 7.09526i −0.0805704 0.353002i
\(405\) −1.84010 + 1.01606i −0.0914352 + 0.0504884i
\(406\) 6.35722 + 1.92005i 0.315503 + 0.0952904i
\(407\) 0.246619 + 0.196672i 0.0122244 + 0.00974866i
\(408\) −11.7808 1.16146i −0.583238 0.0575008i
\(409\) −27.8338 + 6.35289i −1.37629 + 0.314130i −0.845774 0.533542i \(-0.820861\pi\)
−0.530521 + 0.847672i \(0.678004\pi\)
\(410\) 1.36653i 0.0674882i
\(411\) 30.4866 11.1467i 1.50379 0.549827i
\(412\) −16.9311 + 3.86441i −0.834135 + 0.190386i
\(413\) 1.94239 28.1405i 0.0955789 1.38470i
\(414\) 2.63144 + 5.09605i 0.129328 + 0.250457i
\(415\) −0.455236 + 1.99452i −0.0223467 + 0.0979072i
\(416\) 0.756262 0.948322i 0.0370788 0.0464953i
\(417\) −6.28899 + 18.8093i −0.307973 + 0.921093i
\(418\) −3.36271 0.767518i −0.164476 0.0375405i
\(419\) 3.76837 16.5103i 0.184097 0.806581i −0.795556 0.605880i \(-0.792821\pi\)
0.979653 0.200701i \(-0.0643218\pi\)
\(420\) 1.05535 + 0.178104i 0.0514960 + 0.00869058i
\(421\) −5.38581 23.5968i −0.262488 1.15004i −0.918542 0.395322i \(-0.870633\pi\)
0.656054 0.754714i \(-0.272224\pi\)
\(422\) 1.01279i 0.0493017i
\(423\) 12.5224 10.5701i 0.608858 0.513934i
\(424\) 2.58176 + 11.3114i 0.125381 + 0.549332i
\(425\) 30.4531 + 14.6655i 1.47719 + 0.711379i
\(426\) 15.4785 + 5.17534i 0.749937 + 0.250746i
\(427\) 15.4893 + 22.4339i 0.749580 + 1.08565i
\(428\) −8.40368 + 6.70171i −0.406207 + 0.323939i
\(429\) −1.31185 + 0.850003i −0.0633367 + 0.0410385i
\(430\) 0.211786 0.168893i 0.0102132 0.00814476i
\(431\) 3.68746 7.65710i 0.177619 0.368829i −0.793084 0.609112i \(-0.791526\pi\)
0.970703 + 0.240283i \(0.0772402\pi\)
\(432\) 4.82859 1.91956i 0.232316 0.0923550i
\(433\) 0.413638 + 0.858927i 0.0198782 + 0.0412774i 0.910672 0.413131i \(-0.135565\pi\)
−0.890793 + 0.454409i \(0.849851\pi\)
\(434\) 3.34097 5.86618i 0.160372 0.281586i
\(435\) 1.01047 + 0.0996205i 0.0484481 + 0.00477644i
\(436\) 14.2328 6.85414i 0.681626 0.328254i
\(437\) 1.97209 8.64031i 0.0943380 0.413322i
\(438\) 5.66327 + 5.50766i 0.270601 + 0.263166i
\(439\) 15.3300 12.2253i 0.731663 0.583482i −0.185192 0.982702i \(-0.559291\pi\)
0.916855 + 0.399220i \(0.130719\pi\)
\(440\) −0.173774 −0.00828437
\(441\) −14.8823 14.8162i −0.708679 0.705531i
\(442\) 8.29008 0.394319
\(443\) 4.81609 3.84070i 0.228819 0.182477i −0.502368 0.864654i \(-0.667538\pi\)
0.731188 + 0.682176i \(0.238966\pi\)
\(444\) 0.526411 + 0.511947i 0.0249824 + 0.0242959i
\(445\) −0.731240 + 3.20377i −0.0346641 + 0.151873i
\(446\) 3.73098 1.79675i 0.176667 0.0850785i
\(447\) 16.7176 + 1.64816i 0.790713 + 0.0779555i
\(448\) −2.53275 0.764959i −0.119661 0.0361409i
\(449\) −14.1453 29.3731i −0.667560 1.38620i −0.909415 0.415891i \(-0.863470\pi\)
0.241854 0.970313i \(-0.422244\pi\)
\(450\) −14.8306 + 0.413244i −0.699121 + 0.0194805i
\(451\) −1.88888 + 3.92231i −0.0889441 + 0.184694i
\(452\) 14.9443 11.9177i 0.702921 0.560561i
\(453\) 32.9499 21.3496i 1.54812 1.00309i
\(454\) 8.82799 7.04009i 0.414318 0.330408i
\(455\) −0.747733 0.0516121i −0.0350543 0.00241961i
\(456\) −7.61495 2.54610i −0.356603 0.119232i
\(457\) −8.45978 4.07401i −0.395732 0.190574i 0.225425 0.974260i \(-0.427623\pi\)
−0.621157 + 0.783686i \(0.713337\pi\)
\(458\) 0.501954 + 2.19920i 0.0234548 + 0.102762i
\(459\) 30.8335 + 17.6219i 1.43918 + 0.822519i
\(460\) 0.446504i 0.0208183i
\(461\) −6.73527 29.5091i −0.313693 1.37438i −0.848407 0.529344i \(-0.822438\pi\)
0.534714 0.845033i \(-0.320419\pi\)
\(462\) 2.78296 + 1.96997i 0.129475 + 0.0916511i
\(463\) −4.03685 + 17.6866i −0.187609 + 0.821967i 0.790264 + 0.612766i \(0.209943\pi\)
−0.977873 + 0.209201i \(0.932914\pi\)
\(464\) −2.44707 0.558528i −0.113602 0.0259290i
\(465\) 0.327307 0.978916i 0.0151785 0.0453962i
\(466\) −15.5633 + 19.5158i −0.720958 + 0.904052i
\(467\) 1.98871 8.71311i 0.0920266 0.403195i −0.907844 0.419309i \(-0.862272\pi\)
0.999870 + 0.0161142i \(0.00512955\pi\)
\(468\) −3.23324 + 1.66954i −0.149457 + 0.0771746i
\(469\) 4.95097 + 12.3998i 0.228615 + 0.572571i
\(470\) −1.24377 + 0.283882i −0.0573707 + 0.0130945i
\(471\) 26.7819 9.79219i 1.23405 0.451200i
\(472\) 10.6614i 0.490731i
\(473\) 0.841333 0.192029i 0.0386845 0.00882949i
\(474\) 7.02927 + 0.693007i 0.322865 + 0.0318309i
\(475\) 17.9241 + 14.2940i 0.822415 + 0.655854i
\(476\) −6.70531 16.7936i −0.307338 0.769734i
\(477\) 6.79709 34.1369i 0.311217 1.56302i
\(478\) 0.873205 + 3.82576i 0.0399395 + 0.174986i
\(479\) 18.5756 + 23.2930i 0.848740 + 1.06429i 0.997156 + 0.0753610i \(0.0240109\pi\)
−0.148417 + 0.988925i \(0.547418\pi\)
\(480\) −0.402575 0.0396894i −0.0183750 0.00181157i
\(481\) −0.402040 0.320616i −0.0183315 0.0146189i
\(482\) −6.54500 + 3.15191i −0.298117 + 0.143565i
\(483\) −5.06171 + 7.15067i −0.230316 + 0.325367i
\(484\) 9.41188 + 4.53252i 0.427813 + 0.206024i
\(485\) 0.387527 + 0.804708i 0.0175967 + 0.0365399i
\(486\) −15.5743 0.663199i −0.706467 0.0300833i
\(487\) 5.17753 2.49337i 0.234616 0.112985i −0.312882 0.949792i \(-0.601295\pi\)
0.547498 + 0.836807i \(0.315580\pi\)
\(488\) −6.42440 8.05594i −0.290819 0.364675i
\(489\) 0.335050 + 0.916373i 0.0151515 + 0.0414398i
\(490\) 0.500240 + 1.55646i 0.0225985 + 0.0703139i
\(491\) 22.7588i 1.02709i 0.858063 + 0.513545i \(0.171668\pi\)
−0.858063 + 0.513545i \(0.828332\pi\)
\(492\) −5.27173 + 8.65522i −0.237668 + 0.390207i
\(493\) −7.44327 15.4561i −0.335228 0.696108i
\(494\) 5.48193 + 1.25122i 0.246644 + 0.0562948i
\(495\) 0.475814 + 0.213023i 0.0213863 + 0.00957468i
\(496\) −1.10709 + 2.29890i −0.0497099 + 0.103224i
\(497\) 3.86069 + 24.6297i 0.173176 + 1.10479i
\(498\) −10.5777 + 10.8765i −0.473997 + 0.487389i
\(499\) 21.2945 26.7025i 0.953273 1.19537i −0.0273831 0.999625i \(-0.508717\pi\)
0.980656 0.195741i \(-0.0627112\pi\)
\(500\) 2.09277 + 1.00782i 0.0935915 + 0.0450713i
\(501\) −0.780364 + 1.28122i −0.0348641 + 0.0572405i
\(502\) −14.8755 + 3.39524i −0.663928 + 0.151537i
\(503\) −1.10362 1.38390i −0.0492080 0.0617049i 0.756619 0.653857i \(-0.226850\pi\)
−0.805826 + 0.592152i \(0.798279\pi\)
\(504\) 5.99723 + 5.19935i 0.267138 + 0.231597i
\(505\) 1.05977 1.32891i 0.0471592 0.0591357i
\(506\) 0.617178 1.28158i 0.0274369 0.0569733i
\(507\) −16.7581 + 10.8583i −0.744254 + 0.482233i
\(508\) 1.79498 0.0796396
\(509\) 33.2094 1.47198 0.735990 0.676993i \(-0.236717\pi\)
0.735990 + 0.676993i \(0.236717\pi\)
\(510\) −1.50342 2.32031i −0.0665728 0.102745i
\(511\) −3.48894 + 11.5518i −0.154342 + 0.511020i
\(512\) 0.974928 + 0.222521i 0.0430861 + 0.00983413i
\(513\) 17.7294 + 16.3064i 0.782773 + 0.719945i
\(514\) −16.0398 12.7913i −0.707486 0.564201i
\(515\) −3.17112 2.52888i −0.139736 0.111436i
\(516\) 1.99294 0.252707i 0.0877341 0.0111248i
\(517\) −3.96233 0.904377i −0.174263 0.0397744i
\(518\) −0.324304 + 1.07376i −0.0142491 + 0.0471782i
\(519\) −29.8876 + 19.3654i −1.31192 + 0.850047i
\(520\) 0.283289 0.0124230
\(521\) −19.7709 −0.866177 −0.433088 0.901351i \(-0.642576\pi\)
−0.433088 + 0.901351i \(0.642576\pi\)
\(522\) 6.01568 + 4.52908i 0.263299 + 0.198233i
\(523\) 4.24252 8.80969i 0.185513 0.385221i −0.787383 0.616463i \(-0.788565\pi\)
0.972896 + 0.231243i \(0.0742791\pi\)
\(524\) 9.65495 12.1069i 0.421778 0.528893i
\(525\) −10.9845 19.8229i −0.479405 0.865142i
\(526\) 12.7122 + 15.9406i 0.554278 + 0.695042i
\(527\) −17.0020 + 3.88058i −0.740617 + 0.169041i
\(528\) −1.10064 0.670377i −0.0478991 0.0291744i
\(529\) −17.4293 8.39352i −0.757797 0.364936i
\(530\) −1.68951 + 2.11858i −0.0733877 + 0.0920253i
\(531\) 13.0694 29.1922i 0.567164 1.26683i
\(532\) −1.89934 12.1170i −0.0823467 0.525340i
\(533\) 3.07928 6.39419i 0.133378 0.276963i
\(534\) −16.9908 + 17.4708i −0.735263 + 0.756036i
\(535\) −2.44746 0.558617i −0.105813 0.0241511i
\(536\) −2.18958 4.54671i −0.0945755 0.196388i
\(537\) 9.27703 + 5.65047i 0.400333 + 0.243836i
\(538\) 7.19754i 0.310308i
\(539\) −0.715596 + 5.15892i −0.0308229 + 0.222210i
\(540\) 1.05364 + 0.602175i 0.0453416 + 0.0259135i
\(541\) −17.9547 22.5145i −0.771933 0.967974i 0.228050 0.973649i \(-0.426765\pi\)
−0.999984 + 0.00567535i \(0.998193\pi\)
\(542\) −1.12314 + 0.540874i −0.0482428 + 0.0232325i
\(543\) 3.51518 + 27.7219i 0.150851 + 1.18966i
\(544\) 2.96544 + 6.15780i 0.127142 + 0.264014i
\(545\) 3.32412 + 1.60081i 0.142390 + 0.0685712i
\(546\) −4.53682 3.21146i −0.194158 0.137438i
\(547\) 30.3340 14.6081i 1.29699 0.624597i 0.347290 0.937758i \(-0.387102\pi\)
0.949700 + 0.313160i \(0.101388\pi\)
\(548\) −14.6523 11.6849i −0.625917 0.499152i
\(549\) 7.71526 + 29.9335i 0.329279 + 1.27753i
\(550\) 2.29422 + 2.87686i 0.0978257 + 0.122670i
\(551\) −2.58919 11.3440i −0.110303 0.483270i
\(552\) 1.72250 2.82802i 0.0733143 0.120369i
\(553\) 4.00086 + 10.0202i 0.170134 + 0.426104i
\(554\) 9.14761 + 7.29498i 0.388645 + 0.309934i
\(555\) −0.0168263 + 0.170671i −0.000714236 + 0.00724460i
\(556\) 11.1634 2.54797i 0.473433 0.108058i
\(557\) 16.8259i 0.712938i −0.934307 0.356469i \(-0.883981\pi\)
0.934307 0.356469i \(-0.116019\pi\)
\(558\) 5.84947 4.93751i 0.247628 0.209021i
\(559\) −1.37155 + 0.313047i −0.0580104 + 0.0132405i
\(560\) −0.229134 0.573872i −0.00968269 0.0242505i
\(561\) −1.10799 8.73800i −0.0467794 0.368919i
\(562\) 3.21813 14.0995i 0.135748 0.594753i
\(563\) −18.1178 + 22.7190i −0.763573 + 0.957490i −0.999899 0.0141836i \(-0.995485\pi\)
0.236326 + 0.971674i \(0.424057\pi\)
\(564\) −8.97280 3.00011i −0.377823 0.126327i
\(565\) 4.35233 + 0.993392i 0.183104 + 0.0417923i
\(566\) 2.03494 8.91564i 0.0855347 0.374752i
\(567\) −10.0474 21.5882i −0.421952 0.906618i
\(568\) −2.09678 9.18658i −0.0879788 0.385460i
\(569\) 5.02274i 0.210564i −0.994442 0.105282i \(-0.966425\pi\)
0.994442 0.105282i \(-0.0335746\pi\)
\(570\) −0.643959 1.76125i −0.0269725 0.0737705i
\(571\) −7.01956 30.7547i −0.293759 1.28704i −0.879248 0.476364i \(-0.841955\pi\)
0.585489 0.810680i \(-0.300903\pi\)
\(572\) 0.813114 + 0.391575i 0.0339980 + 0.0163726i
\(573\) −4.46573 + 13.3562i −0.186559 + 0.557964i
\(574\) −15.4436 1.06599i −0.644605 0.0444938i
\(575\) −7.39192 + 5.89486i −0.308264 + 0.245833i
\(576\) −2.39668 1.80441i −0.0998618 0.0751839i
\(577\) −33.2625 + 26.5260i −1.38474 + 1.10429i −0.402758 + 0.915307i \(0.631948\pi\)
−0.981980 + 0.188985i \(0.939480\pi\)
\(578\) −12.8917 + 26.7699i −0.536225 + 1.11348i
\(579\) −31.6289 10.5753i −1.31445 0.439496i
\(580\) −0.254352 0.528167i −0.0105614 0.0219309i
\(581\) −22.1856 6.70065i −0.920415 0.277990i
\(582\) −0.649874 + 6.59176i −0.0269381 + 0.273237i
\(583\) −7.77775 + 3.74557i −0.322121 + 0.155126i
\(584\) 1.01491 4.44660i 0.0419972 0.184002i
\(585\) −0.775677 0.347273i −0.0320703 0.0143580i
\(586\) −6.28630 + 5.01315i −0.259684 + 0.207091i
\(587\) 2.91560 0.120340 0.0601698 0.998188i \(-0.480836\pi\)
0.0601698 + 0.998188i \(0.480836\pi\)
\(588\) −2.83607 + 11.7880i −0.116957 + 0.486129i
\(589\) −11.8285 −0.487384
\(590\) −1.94677 + 1.55250i −0.0801473 + 0.0639153i
\(591\) −12.6914 + 13.0499i −0.522053 + 0.536802i
\(592\) 0.0943376 0.413320i 0.00387725 0.0169873i
\(593\) −15.0451 + 7.24532i −0.617826 + 0.297530i −0.716497 0.697591i \(-0.754255\pi\)
0.0986701 + 0.995120i \(0.468541\pi\)
\(594\) 2.19188 + 3.18480i 0.0899339 + 0.130674i
\(595\) 2.09009 3.66985i 0.0856854 0.150449i
\(596\) −4.20810 8.73821i −0.172370 0.357931i
\(597\) 13.5648 40.5700i 0.555171 1.66042i
\(598\) −1.00613 + 2.08925i −0.0411437 + 0.0854358i
\(599\) 10.3831 8.28022i 0.424240 0.338320i −0.387983 0.921666i \(-0.626828\pi\)
0.812224 + 0.583346i \(0.198257\pi\)
\(600\) 4.65784 + 7.18867i 0.190156 + 0.293476i
\(601\) 25.4370 20.2853i 1.03760 0.827455i 0.0523552 0.998629i \(-0.483327\pi\)
0.985241 + 0.171173i \(0.0547558\pi\)
\(602\) 1.74351 + 2.52521i 0.0710603 + 0.102920i
\(603\) 0.421685 + 15.1335i 0.0171723 + 0.616285i
\(604\) −20.4231 9.83523i −0.831003 0.400190i
\(605\) 0.542906 + 2.37862i 0.0220723 + 0.0967048i
\(606\) 11.8389 4.32861i 0.480921 0.175838i
\(607\) 28.5588i 1.15917i 0.814913 + 0.579583i \(0.196785\pi\)
−0.814913 + 0.579583i \(0.803215\pi\)
\(608\) 1.03155 + 4.51951i 0.0418348 + 0.183290i
\(609\) −1.91408 + 11.3419i −0.0775625 + 0.459597i
\(610\) 0.535501 2.34619i 0.0216818 0.0949943i
\(611\) 6.45944 + 1.47432i 0.261321 + 0.0596448i
\(612\) −0.571105 20.4960i −0.0230856 0.828501i
\(613\) 21.0968 26.4545i 0.852091 1.06849i −0.144781 0.989464i \(-0.546248\pi\)
0.996873 0.0790252i \(-0.0251807\pi\)
\(614\) −3.07917 + 13.4907i −0.124265 + 0.544441i
\(615\) −2.34810 + 0.297742i −0.0946846 + 0.0120061i
\(616\) 0.135557 1.96388i 0.00546174 0.0791271i
\(617\) −31.1080 + 7.10019i −1.25236 + 0.285843i −0.796735 0.604329i \(-0.793441\pi\)
−0.455625 + 0.890172i \(0.650584\pi\)
\(618\) −10.3292 28.2506i −0.415500 1.13640i
\(619\) 0.289617i 0.0116407i −0.999983 0.00582034i \(-0.998147\pi\)
0.999983 0.00582034i \(-0.00185268\pi\)
\(620\) −0.580991 + 0.132607i −0.0233332 + 0.00532564i
\(621\) −8.18316 + 5.63191i −0.328379 + 0.226001i
\(622\) −19.9611 15.9185i −0.800368 0.638272i
\(623\) −35.6365 10.7632i −1.42775 0.431217i
\(624\) 1.79427 + 1.09286i 0.0718283 + 0.0437493i
\(625\) −5.38162 23.5784i −0.215265 0.943136i
\(626\) 1.54773 + 1.94079i 0.0618596 + 0.0775694i
\(627\) 0.586145 5.94535i 0.0234084 0.237435i
\(628\) −12.8718 10.2649i −0.513642 0.409616i
\(629\) 2.61060 1.25720i 0.104091 0.0501277i
\(630\) −0.0760917 + 1.85221i −0.00303157 + 0.0737939i
\(631\) −6.24227 3.00612i −0.248501 0.119672i 0.305488 0.952196i \(-0.401181\pi\)
−0.553989 + 0.832524i \(0.686895\pi\)
\(632\) −1.76939 3.67418i −0.0703826 0.146151i
\(633\) 1.74026 0.220668i 0.0691693 0.00877076i
\(634\) −0.299390 + 0.144178i −0.0118903 + 0.00572606i
\(635\) 0.261383 + 0.327764i 0.0103727 + 0.0130069i
\(636\) −18.8738 + 6.90077i −0.748396 + 0.273634i
\(637\) 1.16657 8.41012i 0.0462213 0.333221i
\(638\) 1.86755i 0.0739372i
\(639\) −5.52026 + 27.7243i −0.218378 + 1.09675i
\(640\) 0.101335 + 0.210425i 0.00400562 + 0.00831777i
\(641\) −4.56459 1.04184i −0.180290 0.0411501i 0.131422 0.991326i \(-0.458046\pi\)
−0.311713 + 0.950176i \(0.600903\pi\)
\(642\) −13.3465 12.9798i −0.526744 0.512271i
\(643\) −9.78702 + 20.3229i −0.385962 + 0.801459i 0.613964 + 0.789334i \(0.289574\pi\)
−0.999926 + 0.0121250i \(0.996140\pi\)
\(644\) 5.04609 + 0.348305i 0.198844 + 0.0137252i
\(645\) 0.336352 + 0.327111i 0.0132439 + 0.0128800i
\(646\) −19.7544 + 24.7712i −0.777227 + 0.974611i
\(647\) −3.76852 1.81482i −0.148156 0.0713481i 0.358337 0.933592i \(-0.383344\pi\)
−0.506493 + 0.862244i \(0.669058\pi\)
\(648\) 4.35043 + 7.87869i 0.170901 + 0.309504i
\(649\) −7.73368 + 1.76516i −0.303574 + 0.0692887i
\(650\) −3.74006 4.68988i −0.146697 0.183952i
\(651\) 10.8077 + 4.46263i 0.423589 + 0.174904i
\(652\) 0.351226 0.440424i 0.0137551 0.0172483i
\(653\) −12.9364 + 26.8628i −0.506241 + 1.05122i 0.478643 + 0.878010i \(0.341129\pi\)
−0.984885 + 0.173212i \(0.944586\pi\)
\(654\) 14.8785 + 22.9627i 0.581795 + 0.897912i
\(655\) 3.61666 0.141315
\(656\) 5.85104 0.228445
\(657\) −8.22985 + 10.9312i −0.321077 + 0.426466i
\(658\) −2.23802 14.2777i −0.0872469 0.556602i
\(659\) 43.3209 + 9.88771i 1.68754 + 0.385171i 0.955245 0.295815i \(-0.0955912\pi\)
0.732297 + 0.680985i \(0.238448\pi\)
\(660\) −0.0378623 0.298595i −0.00147379 0.0116228i
\(661\) 20.0267 + 15.9708i 0.778950 + 0.621192i 0.930095 0.367320i \(-0.119725\pi\)
−0.151145 + 0.988512i \(0.548296\pi\)
\(662\) −3.39472 2.70720i −0.131939 0.105218i
\(663\) 1.80626 + 14.2448i 0.0701492 + 0.553221i
\(664\) 8.53988 + 1.94917i 0.331412 + 0.0756425i
\(665\) 1.93599 2.11128i 0.0750745 0.0818720i
\(666\) −0.764980 + 1.01607i −0.0296424 + 0.0393720i
\(667\) 4.79858 0.185802
\(668\) 0.866118 0.0335111
\(669\) 3.90025 + 6.01944i 0.150792 + 0.232725i
\(670\) 0.511385 1.06190i 0.0197565 0.0410248i
\(671\) 4.78004 5.99398i 0.184531 0.231395i
\(672\) 0.762582 4.51868i 0.0294172 0.174312i
\(673\) −3.30569 4.14521i −0.127425 0.159786i 0.714026 0.700119i \(-0.246870\pi\)
−0.841451 + 0.540333i \(0.818298\pi\)
\(674\) −19.2532 + 4.39441i −0.741604 + 0.169266i
\(675\) −3.94139 25.3933i −0.151704 0.977387i
\(676\) 10.3870 + 5.00214i 0.399502 + 0.192390i
\(677\) −26.3508 + 33.0428i −1.01274 + 1.26994i −0.0502202 + 0.998738i \(0.515992\pi\)
−0.962523 + 0.271201i \(0.912579\pi\)
\(678\) 23.7342 + 23.0820i 0.911505 + 0.886461i
\(679\) −9.39658 + 3.75184i −0.360607 + 0.143982i
\(680\) −0.692590 + 1.43818i −0.0265596 + 0.0551516i
\(681\) 14.0204 + 13.6352i 0.537262 + 0.522500i
\(682\) −1.85089 0.422455i −0.0708744 0.0161766i
\(683\) −11.3497 23.5679i −0.434284 0.901800i −0.997164 0.0752611i \(-0.976021\pi\)
0.562880 0.826539i \(-0.309693\pi\)
\(684\) 2.71579 13.6395i 0.103841 0.521518i
\(685\) 4.37704i 0.167238i
\(686\) −17.9804 + 4.43923i −0.686493 + 0.169491i
\(687\) −3.66951 + 1.34167i −0.140000 + 0.0511879i
\(688\) −0.723146 0.906796i −0.0275697 0.0345713i
\(689\) 12.6794 6.10606i 0.483046 0.232622i
\(690\) 0.767224 0.0972850i 0.0292077 0.00370358i
\(691\) −18.1001 37.5852i −0.688560 1.42981i −0.892601 0.450847i \(-0.851122\pi\)
0.204042 0.978962i \(-0.434592\pi\)
\(692\) 18.5250 + 8.92116i 0.704214 + 0.339132i
\(693\) −2.77862 + 5.21116i −0.105551 + 0.197956i
\(694\) 22.4655 10.8188i 0.852778 0.410676i
\(695\) 2.09085 + 1.66740i 0.0793105 + 0.0632480i
\(696\) 0.426542 4.32648i 0.0161680 0.163995i
\(697\) 24.9332 + 31.2653i 0.944413 + 1.18426i
\(698\) −4.44794 19.4877i −0.168357 0.737621i
\(699\) −36.9248 22.4902i −1.39663 0.850658i
\(700\) −6.47543 + 11.3698i −0.244748 + 0.429736i
\(701\) 31.3391 + 24.9921i 1.18366 + 0.943937i 0.999243 0.0389109i \(-0.0123888\pi\)
0.184417 + 0.982848i \(0.440960\pi\)
\(702\) −3.57323 5.19189i −0.134863 0.195955i
\(703\) 1.91604 0.437324i 0.0722648 0.0164940i
\(704\) 0.744045i 0.0280422i
\(705\) −0.758786 2.07530i −0.0285775 0.0781604i
\(706\) 3.24031 0.739579i 0.121951 0.0278344i
\(707\) 14.1918 + 13.0135i 0.533736 + 0.489422i
\(708\) −18.3194 + 2.32293i −0.688486 + 0.0873010i
\(709\) 5.28405 23.1509i 0.198447 0.869451i −0.773415 0.633900i \(-0.781453\pi\)
0.971862 0.235552i \(-0.0756896\pi\)
\(710\) 1.37214 1.72061i 0.0514954 0.0645732i
\(711\) 0.340761 + 12.2293i 0.0127796 + 0.458636i
\(712\) 13.7175 + 3.13093i 0.514085 + 0.117336i
\(713\) 1.08547 4.75577i 0.0406513 0.178105i
\(714\) 27.3954 15.1807i 1.02525 0.568124i
\(715\) 0.0469029 + 0.205495i 0.00175407 + 0.00768507i
\(716\) 6.27139i 0.234373i
\(717\) −6.38352 + 2.33399i −0.238397 + 0.0871643i
\(718\) 6.61201 + 28.9691i 0.246758 + 1.08112i
\(719\) 5.58243 + 2.68835i 0.208189 + 0.100259i 0.535073 0.844806i \(-0.320284\pi\)
−0.326883 + 0.945065i \(0.605998\pi\)
\(720\) −0.0195158 0.700389i −0.000727312 0.0261020i
\(721\) 31.0535 33.8652i 1.15649 1.26120i
\(722\) −1.94678 + 1.55251i −0.0724517 + 0.0577783i
\(723\) −6.84193 10.5595i −0.254454 0.392711i
\(724\) 12.6136 10.0590i 0.468781 0.373840i
\(725\) −5.38584 + 11.1838i −0.200025 + 0.415357i
\(726\) −5.73752 + 17.1599i −0.212939 + 0.636864i
\(727\) 2.65081 + 5.50446i 0.0983131 + 0.204149i 0.944324 0.329016i \(-0.106717\pi\)
−0.846011 + 0.533165i \(0.821003\pi\)
\(728\) −0.220986 + 3.20155i −0.00819029 + 0.118657i
\(729\) −2.25380 26.9058i −0.0834739 0.996510i
\(730\) 0.959738 0.462185i 0.0355215 0.0171062i
\(731\) 1.76394 7.72832i 0.0652416 0.285842i
\(732\) 12.4427 12.7942i 0.459895 0.472888i
\(733\) 11.3759 9.07195i 0.420177 0.335080i −0.390469 0.920616i \(-0.627687\pi\)
0.810647 + 0.585536i \(0.199116\pi\)
\(734\) 17.9088 0.661025
\(735\) −2.56547 + 1.19868i −0.0946287 + 0.0442141i
\(736\) −1.91178 −0.0704692
\(737\) 2.93562 2.34108i 0.108135 0.0862347i
\(738\) −16.0208 7.17256i −0.589734 0.264026i
\(739\) 8.10441 35.5078i 0.298126 1.30617i −0.574789 0.818301i \(-0.694916\pi\)
0.872915 0.487872i \(-0.162227\pi\)
\(740\) 0.0892094 0.0429610i 0.00327940 0.00157928i
\(741\) −0.955540 + 9.69218i −0.0351026 + 0.356051i
\(742\) −22.6249 20.7464i −0.830585 0.761624i
\(743\) −16.3169 33.8823i −0.598608 1.24302i −0.951584 0.307390i \(-0.900545\pi\)
0.352976 0.935632i \(-0.385170\pi\)
\(744\) −4.19140 1.40142i −0.153664 0.0513785i
\(745\) 0.982818 2.04084i 0.0360077 0.0747707i
\(746\) −24.6567 + 19.6631i −0.902748 + 0.719917i
\(747\) −20.9937 15.8058i −0.768121 0.578302i
\(748\) −3.97583 + 3.17062i −0.145371 + 0.115929i
\(749\) 8.22231 27.2238i 0.300437 0.994737i
\(750\) −1.27576 + 3.81557i −0.0465842 + 0.139325i
\(751\) 45.7383 + 22.0264i 1.66902 + 0.803756i 0.998060 + 0.0622580i \(0.0198302\pi\)
0.670956 + 0.741498i \(0.265884\pi\)
\(752\) 1.21549 + 5.32540i 0.0443243 + 0.194197i
\(753\) −9.07513 24.8208i −0.330716 0.904519i
\(754\) 3.04451i 0.110874i
\(755\) −1.17806 5.16143i −0.0428741 0.187844i
\(756\) −7.62731 + 11.4378i −0.277403 + 0.415990i
\(757\) −2.94881 + 12.9196i −0.107176 + 0.469570i 0.892647 + 0.450757i \(0.148846\pi\)
−0.999823 + 0.0188130i \(0.994011\pi\)
\(758\) 26.9577 + 6.15291i 0.979147 + 0.223484i
\(759\) 2.33661 + 0.781258i 0.0848134 + 0.0283579i
\(760\) −0.675048 + 0.846484i −0.0244866 + 0.0307052i
\(761\) 5.51014 24.1415i 0.199742 0.875129i −0.771347 0.636414i \(-0.780417\pi\)
0.971090 0.238714i \(-0.0767260\pi\)
\(762\) 0.391094 + 3.08431i 0.0141679 + 0.111733i
\(763\) −20.6844 + 36.3183i −0.748824 + 1.31481i
\(764\) 7.92698 1.80928i 0.286788 0.0654575i
\(765\) 3.65940 3.08888i 0.132306 0.111679i
\(766\) 6.94349i 0.250879i
\(767\) 12.6075 2.87759i 0.455232 0.103904i
\(768\) −0.169937 + 1.72369i −0.00613207 + 0.0621985i
\(769\) 6.36474 + 5.07571i 0.229519 + 0.183035i 0.731496 0.681846i \(-0.238823\pi\)
−0.501977 + 0.864881i \(0.667394\pi\)
\(770\) 0.378344 0.261225i 0.0136346 0.00941390i
\(771\) 18.4844 30.3481i 0.665701 1.09296i
\(772\) 4.28457 + 18.7719i 0.154205 + 0.675616i
\(773\) 2.23433 + 2.80176i 0.0803633 + 0.100772i 0.820388 0.571807i \(-0.193758\pi\)
−0.740025 + 0.672580i \(0.765186\pi\)
\(774\) 0.868449 + 3.36939i 0.0312158 + 0.121110i
\(775\) 9.86574 + 7.86766i 0.354388 + 0.282615i
\(776\) 3.44549 1.65926i 0.123686 0.0595640i
\(777\) −1.91569 0.323296i −0.0687250 0.0115982i
\(778\) 24.4319 + 11.7658i 0.875925 + 0.421823i
\(779\) 11.7686 + 24.4378i 0.421654 + 0.875573i
\(780\) 0.0617235 + 0.486773i 0.00221006 + 0.0174293i
\(781\) 6.31670 3.04196i 0.226029 0.108850i
\(782\) −8.14673 10.2157i −0.291327 0.365312i
\(783\) −6.47158 + 11.3235i −0.231275 + 0.404669i
\(784\) 6.66426 2.14186i 0.238009 0.0764951i
\(785\) 3.84515i 0.137239i
\(786\) 22.9069 + 13.9521i 0.817061 + 0.497656i
\(787\) 10.2785 + 21.3435i 0.366389 + 0.760815i 0.999917 0.0129053i \(-0.00410799\pi\)
−0.633528 + 0.773720i \(0.718394\pi\)
\(788\) 10.2463 + 2.33866i 0.365011 + 0.0833114i
\(789\) −24.6208 + 25.3164i −0.876524 + 0.901288i
\(790\) 0.413248 0.858118i 0.0147027 0.0305305i
\(791\) −14.6218 + 48.4123i −0.519891 + 1.72134i
\(792\) 0.912095 2.03728i 0.0324099 0.0723915i
\(793\) −7.79247 + 9.77145i −0.276719 + 0.346994i
\(794\) 24.7061 + 11.8978i 0.876788 + 0.422239i
\(795\) −4.00846 2.44148i −0.142165 0.0865902i
\(796\) −24.0785 + 5.49575i −0.853438 + 0.194792i
\(797\) 29.8739 + 37.4607i 1.05819 + 1.32693i 0.942709 + 0.333617i \(0.108269\pi\)
0.115480 + 0.993310i \(0.463159\pi\)
\(798\) 20.4068 5.90370i 0.722392 0.208989i
\(799\) −23.2769 + 29.1883i −0.823477 + 1.03261i
\(800\) 2.14575 4.45570i 0.0758638 0.157533i
\(801\) −33.7220 25.3886i −1.19151 0.897061i
\(802\) −14.7404 −0.520500
\(803\) 3.39355 0.119756
\(804\) 7.33551 4.75298i 0.258703 0.167625i
\(805\) 0.671203 + 0.972134i 0.0236568 + 0.0342632i
\(806\) 3.01735 + 0.688690i 0.106282 + 0.0242581i
\(807\) −12.3675 + 1.56821i −0.435356 + 0.0552037i
\(808\) −5.68995 4.53759i −0.200172 0.159632i
\(809\) 7.29382 + 5.81662i 0.256437 + 0.204502i 0.743267 0.668995i \(-0.233275\pi\)
−0.486830 + 0.873497i \(0.661847\pi\)
\(810\) −0.805143 + 1.94167i −0.0282899 + 0.0682233i
\(811\) −35.7475 8.15912i −1.25526 0.286506i −0.457355 0.889284i \(-0.651203\pi\)
−0.797908 + 0.602779i \(0.794060\pi\)
\(812\) 6.16740 2.46251i 0.216433 0.0864170i
\(813\) −1.17409 1.81203i −0.0411771 0.0635506i
\(814\) 0.315437 0.0110561
\(815\) 0.131566 0.00460856
\(816\) −9.93479 + 6.43717i −0.347787 + 0.225346i
\(817\) 2.33286 4.84423i 0.0816164 0.169478i
\(818\) −17.8004 + 22.3210i −0.622376 + 0.780435i
\(819\) 4.52973 8.49530i 0.158282 0.296850i
\(820\) 0.852019 + 1.06840i 0.0297538 + 0.0373101i
\(821\) 53.6843 12.2531i 1.87359 0.427635i 0.875172 0.483811i \(-0.160748\pi\)
0.998421 + 0.0561758i \(0.0178907\pi\)
\(822\) 16.8855 27.7229i 0.588950 0.966948i
\(823\) −49.5397 23.8571i −1.72684 0.831605i −0.987372 0.158418i \(-0.949361\pi\)
−0.739473 0.673186i \(-0.764925\pi\)
\(824\) −10.8278 + 13.5777i −0.377206 + 0.473001i
\(825\) −4.44341 + 4.56895i −0.154700 + 0.159070i
\(826\) −16.0267 23.2122i −0.557640 0.807655i
\(827\) 7.21703 14.9863i 0.250961 0.521125i −0.736988 0.675906i \(-0.763753\pi\)
0.987949 + 0.154780i \(0.0494670\pi\)
\(828\) 5.23467 + 2.34358i 0.181917 + 0.0814449i
\(829\) 4.93053 + 1.12536i 0.171244 + 0.0390854i 0.307283 0.951618i \(-0.400580\pi\)
−0.136039 + 0.990703i \(0.543437\pi\)
\(830\) 0.887645 + 1.84321i 0.0308106 + 0.0639789i
\(831\) −10.5418 + 17.3077i −0.365691 + 0.600398i
\(832\) 1.21295i 0.0420515i
\(833\) 39.8438 + 26.4836i 1.38050 + 0.917602i
\(834\) 6.81045 + 18.6268i 0.235827 + 0.644993i
\(835\) 0.126123 + 0.158153i 0.00436466 + 0.00547310i
\(836\) −3.10762 + 1.49655i −0.107479 + 0.0517592i
\(837\) 9.75857 + 8.97531i 0.337306 + 0.310232i
\(838\) −7.34777 15.2578i −0.253825 0.527072i
\(839\) −15.4522 7.44140i −0.533470 0.256906i 0.147698 0.989032i \(-0.452814\pi\)
−0.681168 + 0.732127i \(0.738528\pi\)
\(840\) 0.936155 0.518756i 0.0323004 0.0178988i
\(841\) −20.4519 + 9.84911i −0.705238 + 0.339625i
\(842\) −18.9231 15.0907i −0.652134 0.520060i
\(843\) 24.9283 + 2.45765i 0.858576 + 0.0846460i
\(844\) −0.631462 0.791829i −0.0217358 0.0272559i
\(845\) 0.599156 + 2.62508i 0.0206116 + 0.0903053i
\(846\) 3.20006 16.0716i 0.110020 0.552552i
\(847\) −27.3052 + 4.28006i −0.938216 + 0.147065i
\(848\) 9.07107 + 7.23393i 0.311502 + 0.248414i
\(849\) 15.7630 + 1.55406i 0.540986 + 0.0533352i
\(850\) 32.9530 7.52130i 1.13028 0.257978i
\(851\) 0.810498i 0.0277835i
\(852\) 15.3284 5.60446i 0.525142 0.192006i
\(853\) 38.6363 8.81848i 1.32288 0.301939i 0.497967 0.867196i \(-0.334080\pi\)
0.824915 + 0.565257i \(0.191223\pi\)
\(854\) 26.0973 + 7.88208i 0.893032 + 0.269719i
\(855\) 2.88603 1.49025i 0.0987001 0.0509656i
\(856\) −2.39181 + 10.4792i −0.0817504 + 0.358172i
\(857\) −26.2313 + 32.8930i −0.896044 + 1.12360i 0.0957046 + 0.995410i \(0.469490\pi\)
−0.991749 + 0.128194i \(0.959082\pi\)
\(858\) −0.495678 + 1.48248i −0.0169222 + 0.0506112i
\(859\) 47.0556 + 10.7401i 1.60552 + 0.366449i 0.929029 0.370006i \(-0.120644\pi\)
0.676487 + 0.736455i \(0.263501\pi\)
\(860\) 0.0602773 0.264092i 0.00205544 0.00900547i
\(861\) −1.53320 26.7690i −0.0522513 0.912284i
\(862\) −1.89115 8.28566i −0.0644127 0.282211i
\(863\) 29.9701i 1.02019i −0.860117 0.510096i \(-0.829610\pi\)
0.860117 0.510096i \(-0.170390\pi\)
\(864\) 2.57832 4.51135i 0.0877161 0.153479i
\(865\) 1.06858 + 4.68174i 0.0363327 + 0.159184i
\(866\) 0.858927 + 0.413638i 0.0291875 + 0.0140560i
\(867\) −48.8074 16.3191i −1.65759 0.554224i
\(868\) −1.04543 6.66943i −0.0354841 0.226375i
\(869\) 2.37226 1.89181i 0.0804734 0.0641754i
\(870\) 0.852126 0.552128i 0.0288898 0.0187189i
\(871\) −4.78568 + 3.81645i −0.162156 + 0.129315i
\(872\) 6.85414 14.2328i 0.232111 0.481983i
\(873\) −11.4682 + 0.319552i −0.388139 + 0.0108152i
\(874\) −3.84530 7.98484i −0.130069 0.270091i
\(875\) −6.07141 + 0.951689i −0.205251 + 0.0321729i
\(876\) 7.86169 + 0.775075i 0.265622 + 0.0261874i
\(877\) −13.6284 + 6.56310i −0.460199 + 0.221620i −0.649595 0.760281i \(-0.725061\pi\)
0.189396 + 0.981901i \(0.439347\pi\)
\(878\) 4.36316 19.1163i 0.147250 0.645142i
\(879\) −9.98373 9.70942i −0.336743 0.327490i
\(880\) −0.135862 + 0.108347i −0.00457992 + 0.00365236i
\(881\) 40.7353 1.37241 0.686204 0.727409i \(-0.259276\pi\)
0.686204 + 0.727409i \(0.259276\pi\)
\(882\) −20.8731 2.30480i −0.702835 0.0776067i
\(883\) −9.94285 −0.334604 −0.167302 0.985906i \(-0.553505\pi\)
−0.167302 + 0.985906i \(0.553505\pi\)
\(884\) 6.48145 5.16878i 0.217995 0.173845i
\(885\) −3.09181 3.00686i −0.103930 0.101075i
\(886\) 1.37073 6.00557i 0.0460506 0.201761i
\(887\) 3.58295 1.72546i 0.120304 0.0579352i −0.372764 0.927926i \(-0.621590\pi\)
0.493068 + 0.869991i \(0.335876\pi\)
\(888\) 0.730759 + 0.0720446i 0.0245227 + 0.00241766i
\(889\) −3.90807 + 2.69830i −0.131072 + 0.0904980i
\(890\) 1.42581 + 2.96073i 0.0477933 + 0.0992439i
\(891\) −4.99484 + 4.46020i −0.167333 + 0.149422i
\(892\) 1.79675 3.73098i 0.0601596 0.124923i
\(893\) −19.7975 + 15.7880i −0.662499 + 0.528326i
\(894\) 14.0979 9.13464i 0.471505 0.305508i
\(895\) 1.14515 0.913230i 0.0382783 0.0305259i
\(896\) −2.45713 + 0.981077i −0.0820870 + 0.0327755i
\(897\) −3.80916 1.27362i −0.127184 0.0425248i
\(898\) −29.3731 14.1453i −0.980194 0.472036i
\(899\) −1.42513 6.24392i −0.0475308 0.208246i
\(900\) −11.3374 + 9.56982i −0.377913 + 0.318994i
\(901\) 79.2978i 2.64179i
\(902\) 0.968730 + 4.24428i 0.0322552 + 0.141319i
\(903\) −3.95917 + 3.54606i −0.131753 + 0.118006i
\(904\) 4.25338 18.6353i 0.141465 0.619799i
\(905\) 3.67355 + 0.838463i 0.122113 + 0.0278715i
\(906\) 12.4500 37.2357i 0.413623 1.23707i
\(907\) 17.9286 22.4817i 0.595308 0.746493i −0.389330 0.921098i \(-0.627294\pi\)
0.984638 + 0.174605i \(0.0558650\pi\)
\(908\) 2.51258 11.0083i 0.0833828 0.365324i
\(909\) 10.0173 + 19.3995i 0.332252 + 0.643441i
\(910\) −0.616781 + 0.425852i −0.0204461 + 0.0141169i
\(911\) −5.10850 + 1.16598i −0.169252 + 0.0386307i −0.306307 0.951933i \(-0.599093\pi\)
0.137055 + 0.990563i \(0.456236\pi\)
\(912\) −7.54108 + 2.75722i −0.249710 + 0.0913006i
\(913\) 6.51746i 0.215696i
\(914\) −9.15422 + 2.08939i −0.302795 + 0.0691109i
\(915\) 4.14811 + 0.408957i 0.137132 + 0.0135197i
\(916\) 1.76362 + 1.40644i 0.0582718 + 0.0464702i
\(917\) −2.82126 + 40.8731i −0.0931661 + 1.34975i
\(918\) 35.0937 5.44703i 1.15826 0.179779i
\(919\) 2.70140 + 11.8356i 0.0891111 + 0.390421i 0.999740 0.0228040i \(-0.00725935\pi\)
−0.910629 + 0.413225i \(0.864402\pi\)
\(920\) −0.278390 0.349091i −0.00917826 0.0115092i
\(921\) −23.8519 2.35153i −0.785947 0.0774855i
\(922\) −23.6645 18.8718i −0.779348 0.621510i
\(923\) −10.2975 + 4.95904i −0.338948 + 0.163229i
\(924\) 3.40406 0.194969i 0.111985 0.00641400i
\(925\) −1.88899 0.909690i −0.0621096 0.0299104i
\(926\) 7.87129 + 16.3449i 0.258666 + 0.537126i
\(927\) 46.2922 23.9038i 1.52043 0.785104i
\(928\) −2.26143 + 1.08905i −0.0742352 + 0.0357498i
\(929\) −34.1840 42.8654i −1.12154 1.40637i −0.902520 0.430649i \(-0.858285\pi\)
−0.219022 0.975720i \(-0.570287\pi\)
\(930\) −0.354446 0.969420i −0.0116227 0.0317885i
\(931\) 22.3501 + 23.5262i 0.732495 + 0.771041i
\(932\) 24.9617i 0.817646i
\(933\) 23.0034 37.7674i 0.753098 1.23645i
\(934\) −3.87770 8.05213i −0.126882 0.263474i
\(935\) −1.15791 0.264285i −0.0378677 0.00864305i
\(936\) −1.48691 + 3.32119i −0.0486011 + 0.108557i
\(937\) 6.22444 12.9252i 0.203344 0.422247i −0.774212 0.632927i \(-0.781853\pi\)
0.977555 + 0.210679i \(0.0675676\pi\)
\(938\) 11.6020 + 6.60769i 0.378819 + 0.215749i
\(939\) −2.99762 + 3.08231i −0.0978235 + 0.100587i
\(940\) −0.795419 + 0.997424i −0.0259437 + 0.0325324i
\(941\) −36.0583 17.3648i −1.17547 0.566075i −0.258880 0.965910i \(-0.583353\pi\)
−0.916587 + 0.399835i \(0.869068\pi\)
\(942\) 14.8336 24.3541i 0.483306 0.793499i
\(943\) −10.9054 + 2.48910i −0.355130 + 0.0810562i
\(944\) 6.64728 + 8.33543i 0.216351 + 0.271295i
\(945\) −3.19922 + 0.272816i −0.104071 + 0.00887470i
\(946\) 0.538053 0.674697i 0.0174936 0.0219363i
\(947\) 2.01018 4.17418i 0.0653220 0.135643i −0.865752 0.500474i \(-0.833159\pi\)
0.931074 + 0.364831i \(0.118873\pi\)
\(948\) 5.92779 3.84087i 0.192526 0.124745i
\(949\) −5.53221 −0.179583
\(950\) 22.9258 0.743811
\(951\) −0.312972 0.483025i −0.0101488 0.0156632i
\(952\) −15.7131 8.94908i −0.509264 0.290041i
\(953\) 32.3102 + 7.37459i 1.04663 + 0.238887i 0.711062 0.703129i \(-0.248215\pi\)
0.335568 + 0.942016i \(0.391072\pi\)
\(954\) −15.9698 30.9272i −0.517042 1.00130i
\(955\) 1.48469 + 1.18400i 0.0480434 + 0.0383133i
\(956\) 3.06802 + 2.44667i 0.0992269 + 0.0791308i
\(957\) 3.20900 0.406906i 0.103732 0.0131534i
\(958\) 29.0459 + 6.62955i 0.938432 + 0.214191i
\(959\) 49.4665 + 3.41441i 1.59736 + 0.110257i
\(960\) −0.339492 + 0.219971i −0.0109571 + 0.00709954i
\(961\) 24.4894 0.789981
\(962\) −0.514229 −0.0165794
\(963\) 19.3951 25.7612i 0.624999 0.830144i
\(964\) −3.15191 + 6.54500i −0.101516 + 0.210800i
\(965\) −2.80383 + 3.51590i −0.0902586 + 0.113181i
\(966\) 0.500961 + 8.74655i 0.0161182 + 0.281415i
\(967\) −2.39260 3.00022i −0.0769408 0.0964807i 0.741871 0.670542i \(-0.233938\pi\)
−0.818812 + 0.574061i \(0.805367\pi\)
\(968\) 10.1845 2.32454i 0.327342 0.0747136i
\(969\) −46.8683 28.5466i −1.50563 0.917050i
\(970\) 0.804708 + 0.387527i 0.0258376 + 0.0124427i
\(971\) −11.9815 + 15.0243i −0.384503 + 0.482152i −0.935987 0.352033i \(-0.885490\pi\)
0.551484 + 0.834185i \(0.314062\pi\)
\(972\) −12.5900 + 9.19193i −0.403825 + 0.294831i
\(973\) −20.4748 + 22.3287i −0.656394 + 0.715826i
\(974\) 2.49337 5.17753i 0.0798926 0.165899i
\(975\) 7.24370 7.44835i 0.231984 0.238538i
\(976\) −10.0456 2.29284i −0.321551 0.0733920i
\(977\) −20.0870 41.7110i −0.642639 1.33445i −0.926756 0.375664i \(-0.877415\pi\)
0.284117 0.958790i \(-0.408300\pi\)
\(978\) 0.833302 + 0.507549i 0.0266461 + 0.0162296i
\(979\) 10.4689i 0.334587i
\(980\) 1.36154 + 0.904998i 0.0434929 + 0.0289091i
\(981\) −36.2148 + 30.5687i −1.15625 + 0.975984i
\(982\) 14.1899 + 17.7935i 0.452817 + 0.567814i
\(983\) 38.6138 18.5954i 1.23159 0.593101i 0.299072 0.954231i \(-0.403323\pi\)
0.932516 + 0.361129i \(0.117609\pi\)
\(984\) 1.27483 + 10.0538i 0.0406403 + 0.320503i
\(985\) 1.06502 + 2.21153i 0.0339343 + 0.0704653i
\(986\) −15.4561 7.44327i −0.492223 0.237042i
\(987\) 24.0456 6.95641i 0.765380 0.221425i
\(988\) 5.06607 2.43969i 0.161173 0.0776169i
\(989\) 1.73359 + 1.38250i 0.0551251 + 0.0439608i
\(990\) 0.504824 0.130117i 0.0160444 0.00413539i
\(991\) −29.7133 37.2593i −0.943873 1.18358i −0.982863 0.184340i \(-0.940985\pi\)
0.0389892 0.999240i \(-0.487586\pi\)
\(992\) 0.567781 + 2.48761i 0.0180271 + 0.0789818i
\(993\) 3.91211 6.42296i 0.124147 0.203827i
\(994\) 18.3748 + 16.8492i 0.582813 + 0.534424i
\(995\) −4.50979 3.59644i −0.142970 0.114015i
\(996\) −1.48856 + 15.0987i −0.0471669 + 0.478420i
\(997\) 8.60138 1.96321i 0.272409 0.0621755i −0.0841343 0.996454i \(-0.526812\pi\)
0.356543 + 0.934279i \(0.383955\pi\)
\(998\) 34.1537i 1.08112i
\(999\) −1.91258 1.09307i −0.0605115 0.0345834i
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 294.2.j.a.41.18 yes 120
3.2 odd 2 inner 294.2.j.a.41.6 120
49.6 odd 14 inner 294.2.j.a.251.6 yes 120
147.104 even 14 inner 294.2.j.a.251.18 yes 120
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
294.2.j.a.41.6 120 3.2 odd 2 inner
294.2.j.a.41.18 yes 120 1.1 even 1 trivial
294.2.j.a.251.6 yes 120 49.6 odd 14 inner
294.2.j.a.251.18 yes 120 147.104 even 14 inner