Properties

Label 147.2.k.a.104.13
Level $147$
Weight $2$
Character 147.104
Analytic conductor $1.174$
Analytic rank $0$
Dimension $96$
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] = [147,2,Mod(20,147)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(147, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([7, 13]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("147.20");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 147 = 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 147.k (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: \(1.17380090971\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(16\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 104.13
Character \(\chi\) \(=\) 147.104
Dual form 147.2.k.a.41.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.17656 + 0.938273i) q^{2} +(-0.0557372 + 1.73115i) q^{3} +(0.0588885 + 0.258007i) q^{4} +(0.160135 + 0.0771168i) q^{5} +(-1.68987 + 1.98450i) q^{6} +(0.931491 + 2.47635i) q^{7} +(1.13308 - 2.35287i) q^{8} +(-2.99379 - 0.192979i) q^{9} +O(q^{10})\) \(q+(1.17656 + 0.938273i) q^{2} +(-0.0557372 + 1.73115i) q^{3} +(0.0588885 + 0.258007i) q^{4} +(0.160135 + 0.0771168i) q^{5} +(-1.68987 + 1.98450i) q^{6} +(0.931491 + 2.47635i) q^{7} +(1.13308 - 2.35287i) q^{8} +(-2.99379 - 0.192979i) q^{9} +(0.116051 + 0.240982i) q^{10} +(-3.30885 - 2.63872i) q^{11} +(-0.449933 + 0.0875644i) q^{12} +(2.71138 + 2.16226i) q^{13} +(-1.22754 + 3.78756i) q^{14} +(-0.142426 + 0.272919i) q^{15} +(4.01764 - 1.93480i) q^{16} +(1.12571 - 4.93208i) q^{17} +(-3.34129 - 3.03604i) q^{18} -0.363498i q^{19} +(-0.0104666 + 0.0458572i) q^{20} +(-4.33887 + 1.47453i) q^{21} +(-1.41721 - 6.20921i) q^{22} +(-1.58516 + 0.361803i) q^{23} +(4.01003 + 2.09269i) q^{24} +(-3.09775 - 3.88446i) q^{25} +(1.16131 + 5.08803i) q^{26} +(0.500942 - 5.17195i) q^{27} +(-0.584063 + 0.386160i) q^{28} +(6.82709 + 1.55824i) q^{29} +(-0.423646 + 0.187470i) q^{30} +7.18306i q^{31} +(1.45032 + 0.331026i) q^{32} +(4.75245 - 5.58105i) q^{33} +(5.95210 - 4.74664i) q^{34} +(-0.0418043 + 0.468384i) q^{35} +(-0.126510 - 0.783783i) q^{36} +(1.12601 - 4.93339i) q^{37} +(0.341061 - 0.427676i) q^{38} +(-3.89432 + 4.57330i) q^{39} +(0.362892 - 0.289397i) q^{40} +(-1.68678 - 0.812311i) q^{41} +(-6.48844 - 2.33617i) q^{42} +(-5.20198 + 2.50514i) q^{43} +(0.485955 - 1.00910i) q^{44} +(-0.464527 - 0.261774i) q^{45} +(-2.20450 - 1.06163i) q^{46} +(-0.502413 + 0.630007i) q^{47} +(3.12550 + 7.06300i) q^{48} +(-5.26465 + 4.61340i) q^{49} -7.47683i q^{50} +(8.47544 + 2.22368i) q^{51} +(-0.398208 + 0.826888i) q^{52} +(-9.35701 + 2.13568i) q^{53} +(5.44209 - 5.61507i) q^{54} +(-0.326372 - 0.677718i) q^{55} +(6.88200 + 0.614235i) q^{56} +(0.629271 + 0.0202604i) q^{57} +(6.57041 + 8.23903i) q^{58} +(-13.6474 + 6.57225i) q^{59} +(-0.0788025 - 0.0206753i) q^{60} +(-2.09383 - 0.477903i) q^{61} +(-6.73967 + 8.45127i) q^{62} +(-2.31080 - 7.59343i) q^{63} +(-4.16480 - 5.22250i) q^{64} +(0.267440 + 0.555345i) q^{65} +(10.8281 - 2.10733i) q^{66} +11.4382 q^{67} +1.33880 q^{68} +(-0.537984 - 2.76432i) q^{69} +(-0.488657 + 0.511856i) q^{70} +(-2.33876 + 0.533807i) q^{71} +(-3.84627 + 6.82534i) q^{72} +(-5.60382 + 4.46890i) q^{73} +(5.95369 - 4.74791i) q^{74} +(6.89726 - 5.14618i) q^{75} +(0.0937852 - 0.0214059i) q^{76} +(3.45223 - 10.6518i) q^{77} +(-8.87290 + 1.72681i) q^{78} +3.69360 q^{79} +0.792569 q^{80} +(8.92552 + 1.15548i) q^{81} +(-1.22242 - 2.53839i) q^{82} +(10.5063 + 13.1744i) q^{83} +(-0.635949 - 1.03263i) q^{84} +(0.560612 - 0.702985i) q^{85} +(-8.47093 - 1.93343i) q^{86} +(-3.07807 + 11.7319i) q^{87} +(-9.95777 + 4.79541i) q^{88} +(-1.63575 - 2.05117i) q^{89} +(-0.300927 - 0.743845i) q^{90} +(-2.82888 + 8.72846i) q^{91} +(-0.186695 - 0.387677i) q^{92} +(-12.4350 - 0.400363i) q^{93} +(-1.18224 + 0.269838i) q^{94} +(0.0280318 - 0.0582087i) q^{95} +(-0.653894 + 2.49228i) q^{96} +0.550512i q^{97} +(-10.5228 + 0.488255i) q^{98} +(9.39677 + 8.53830i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96 q - 7 q^{3} + 2 q^{4} + 7 q^{6} - 14 q^{7} + 5 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 96 q - 7 q^{3} + 2 q^{4} + 7 q^{6} - 14 q^{7} + 5 q^{9} - 14 q^{10} - 42 q^{12} - 14 q^{13} - 5 q^{15} - 22 q^{16} - 18 q^{18} - 7 q^{21} + 4 q^{22} - 7 q^{24} - 26 q^{25} - 28 q^{27} + 28 q^{28} - 20 q^{30} - 7 q^{33} - 70 q^{34} - 37 q^{36} + 38 q^{37} - 9 q^{39} - 28 q^{40} + 7 q^{42} - 18 q^{43} + 14 q^{45} + 62 q^{46} + 14 q^{49} - q^{51} + 112 q^{52} - 7 q^{54} - 56 q^{55} + q^{57} - 84 q^{58} + 111 q^{60} + 84 q^{61} - 7 q^{63} - 2 q^{64} + 21 q^{66} - 16 q^{67} - 91 q^{69} - 70 q^{70} - 27 q^{72} - 14 q^{73} + 119 q^{75} + 210 q^{76} - 87 q^{78} - 32 q^{79} - 71 q^{81} - 84 q^{82} + 154 q^{84} + 46 q^{85} + 49 q^{87} - 22 q^{88} + 203 q^{90} - 42 q^{91} + 53 q^{93} - 42 q^{94} - 28 q^{96} + 100 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).

\(n\) \(50\) \(52\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.17656 + 0.938273i 0.831951 + 0.663459i 0.943891 0.330256i \(-0.107135\pi\)
−0.111940 + 0.993715i \(0.535706\pi\)
\(3\) −0.0557372 + 1.73115i −0.0321799 + 0.999482i
\(4\) 0.0588885 + 0.258007i 0.0294442 + 0.129004i
\(5\) 0.160135 + 0.0771168i 0.0716144 + 0.0344877i 0.469348 0.883013i \(-0.344489\pi\)
−0.397734 + 0.917501i \(0.630203\pi\)
\(6\) −1.68987 + 1.98450i −0.689888 + 0.810171i
\(7\) 0.931491 + 2.47635i 0.352071 + 0.935973i
\(8\) 1.13308 2.35287i 0.400606 0.831866i
\(9\) −2.99379 0.192979i −0.997929 0.0643264i
\(10\) 0.116051 + 0.240982i 0.0366985 + 0.0762053i
\(11\) −3.30885 2.63872i −0.997655 0.795604i −0.0187305 0.999825i \(-0.505962\pi\)
−0.978925 + 0.204221i \(0.934534\pi\)
\(12\) −0.449933 + 0.0875644i −0.129884 + 0.0252777i
\(13\) 2.71138 + 2.16226i 0.752002 + 0.599702i 0.922654 0.385630i \(-0.126016\pi\)
−0.170651 + 0.985331i \(0.554587\pi\)
\(14\) −1.22754 + 3.78756i −0.328074 + 1.01227i
\(15\) −0.142426 + 0.272919i −0.0367744 + 0.0704675i
\(16\) 4.01764 1.93480i 1.00441 0.483699i
\(17\) 1.12571 4.93208i 0.273026 1.19620i −0.633395 0.773829i \(-0.718339\pi\)
0.906421 0.422376i \(-0.138804\pi\)
\(18\) −3.34129 3.03604i −0.787550 0.715601i
\(19\) 0.363498i 0.0833922i −0.999130 0.0416961i \(-0.986724\pi\)
0.999130 0.0416961i \(-0.0132761\pi\)
\(20\) −0.0104666 + 0.0458572i −0.00234040 + 0.0102540i
\(21\) −4.33887 + 1.47453i −0.946818 + 0.321769i
\(22\) −1.41721 6.20921i −0.302150 1.32381i
\(23\) −1.58516 + 0.361803i −0.330529 + 0.0754411i −0.384565 0.923098i \(-0.625649\pi\)
0.0540360 + 0.998539i \(0.482791\pi\)
\(24\) 4.01003 + 2.09269i 0.818544 + 0.427168i
\(25\) −3.09775 3.88446i −0.619551 0.776892i
\(26\) 1.16131 + 5.08803i 0.227752 + 0.997845i
\(27\) 0.500942 5.17195i 0.0964063 0.995342i
\(28\) −0.584063 + 0.386160i −0.110378 + 0.0729774i
\(29\) 6.82709 + 1.55824i 1.26776 + 0.289358i 0.802946 0.596051i \(-0.203265\pi\)
0.464813 + 0.885409i \(0.346122\pi\)
\(30\) −0.423646 + 0.187470i −0.0773468 + 0.0342273i
\(31\) 7.18306i 1.29011i 0.764134 + 0.645057i \(0.223167\pi\)
−0.764134 + 0.645057i \(0.776833\pi\)
\(32\) 1.45032 + 0.331026i 0.256383 + 0.0585177i
\(33\) 4.75245 5.58105i 0.827296 0.971536i
\(34\) 5.95210 4.74664i 1.02078 0.814043i
\(35\) −0.0418043 + 0.468384i −0.00706622 + 0.0791713i
\(36\) −0.126510 0.783783i −0.0210849 0.130630i
\(37\) 1.12601 4.93339i 0.185116 0.811044i −0.794029 0.607880i \(-0.792020\pi\)
0.979145 0.203165i \(-0.0651226\pi\)
\(38\) 0.341061 0.427676i 0.0553273 0.0693783i
\(39\) −3.89432 + 4.57330i −0.623590 + 0.732314i
\(40\) 0.362892 0.289397i 0.0573783 0.0457577i
\(41\) −1.68678 0.812311i −0.263431 0.126862i 0.297507 0.954720i \(-0.403845\pi\)
−0.560938 + 0.827858i \(0.689559\pi\)
\(42\) −6.48844 2.33617i −1.00119 0.360479i
\(43\) −5.20198 + 2.50514i −0.793294 + 0.382030i −0.786222 0.617944i \(-0.787966\pi\)
−0.00707276 + 0.999975i \(0.502251\pi\)
\(44\) 0.485955 1.00910i 0.0732605 0.152127i
\(45\) −0.464527 0.261774i −0.0692476 0.0390229i
\(46\) −2.20450 1.06163i −0.325036 0.156529i
\(47\) −0.502413 + 0.630007i −0.0732845 + 0.0918959i −0.817122 0.576464i \(-0.804432\pi\)
0.743838 + 0.668360i \(0.233003\pi\)
\(48\) 3.12550 + 7.06300i 0.451127 + 1.01946i
\(49\) −5.26465 + 4.61340i −0.752093 + 0.659058i
\(50\) 7.47683i 1.05738i
\(51\) 8.47544 + 2.22368i 1.18680 + 0.311378i
\(52\) −0.398208 + 0.826888i −0.0552216 + 0.114669i
\(53\) −9.35701 + 2.13568i −1.28528 + 0.293358i −0.809977 0.586462i \(-0.800520\pi\)
−0.475307 + 0.879820i \(0.657663\pi\)
\(54\) 5.44209 5.61507i 0.740574 0.764115i
\(55\) −0.326372 0.677718i −0.0440080 0.0913835i
\(56\) 6.88200 + 0.614235i 0.919646 + 0.0820806i
\(57\) 0.629271 + 0.0202604i 0.0833490 + 0.00268355i
\(58\) 6.57041 + 8.23903i 0.862737 + 1.08184i
\(59\) −13.6474 + 6.57225i −1.77674 + 0.855634i −0.816068 + 0.577956i \(0.803850\pi\)
−0.960674 + 0.277677i \(0.910435\pi\)
\(60\) −0.0788025 0.0206753i −0.0101734 0.00266916i
\(61\) −2.09383 0.477903i −0.268088 0.0611892i 0.0863639 0.996264i \(-0.472475\pi\)
−0.354451 + 0.935074i \(0.615332\pi\)
\(62\) −6.73967 + 8.45127i −0.855938 + 1.07331i
\(63\) −2.31080 7.59343i −0.291134 0.956682i
\(64\) −4.16480 5.22250i −0.520600 0.652812i
\(65\) 0.267440 + 0.555345i 0.0331719 + 0.0688821i
\(66\) 10.8281 2.10733i 1.33284 0.259394i
\(67\) 11.4382 1.39740 0.698701 0.715413i \(-0.253762\pi\)
0.698701 + 0.715413i \(0.253762\pi\)
\(68\) 1.33880 0.162354
\(69\) −0.537984 2.76432i −0.0647656 0.332786i
\(70\) −0.488657 + 0.511856i −0.0584057 + 0.0611785i
\(71\) −2.33876 + 0.533807i −0.277560 + 0.0633512i −0.359035 0.933324i \(-0.616894\pi\)
0.0814749 + 0.996675i \(0.474037\pi\)
\(72\) −3.84627 + 6.82534i −0.453287 + 0.804374i
\(73\) −5.60382 + 4.46890i −0.655878 + 0.523045i −0.893930 0.448207i \(-0.852063\pi\)
0.238052 + 0.971252i \(0.423491\pi\)
\(74\) 5.95369 4.74791i 0.692102 0.551933i
\(75\) 6.89726 5.14618i 0.796427 0.594229i
\(76\) 0.0937852 0.0214059i 0.0107579 0.00245542i
\(77\) 3.45223 10.6518i 0.393419 1.21389i
\(78\) −8.87290 + 1.72681i −1.00466 + 0.195523i
\(79\) 3.69360 0.415563 0.207781 0.978175i \(-0.433376\pi\)
0.207781 + 0.978175i \(0.433376\pi\)
\(80\) 0.792569 0.0886120
\(81\) 8.92552 + 1.15548i 0.991724 + 0.128386i
\(82\) −1.22242 2.53839i −0.134994 0.280318i
\(83\) 10.5063 + 13.1744i 1.15321 + 1.44608i 0.874049 + 0.485837i \(0.161485\pi\)
0.279162 + 0.960244i \(0.409943\pi\)
\(84\) −0.635949 1.03263i −0.0693877 0.112669i
\(85\) 0.560612 0.702985i 0.0608069 0.0762494i
\(86\) −8.47093 1.93343i −0.913444 0.208488i
\(87\) −3.07807 + 11.7319i −0.330004 + 1.25779i
\(88\) −9.95777 + 4.79541i −1.06150 + 0.511193i
\(89\) −1.63575 2.05117i −0.173390 0.217424i 0.687542 0.726145i \(-0.258690\pi\)
−0.860931 + 0.508721i \(0.830118\pi\)
\(90\) −0.300927 0.743845i −0.0317205 0.0784082i
\(91\) −2.82888 + 8.72846i −0.296547 + 0.914991i
\(92\) −0.186695 0.387677i −0.0194643 0.0404181i
\(93\) −12.4350 0.400363i −1.28945 0.0415157i
\(94\) −1.18224 + 0.269838i −0.121938 + 0.0278316i
\(95\) 0.0280318 0.0582087i 0.00287600 0.00597208i
\(96\) −0.653894 + 2.49228i −0.0667378 + 0.254367i
\(97\) 0.550512i 0.0558961i 0.999609 + 0.0279480i \(0.00889730\pi\)
−0.999609 + 0.0279480i \(0.991103\pi\)
\(98\) −10.5228 + 0.488255i −1.06296 + 0.0493212i
\(99\) 9.39677 + 8.53830i 0.944411 + 0.858131i
\(100\) 0.819797 1.02799i 0.0819797 0.102799i
\(101\) 4.21294 + 2.02884i 0.419203 + 0.201878i 0.631581 0.775310i \(-0.282406\pi\)
−0.212378 + 0.977188i \(0.568121\pi\)
\(102\) 7.88542 + 10.5686i 0.780772 + 1.04644i
\(103\) −0.241702 + 0.501900i −0.0238156 + 0.0494537i −0.912537 0.408993i \(-0.865880\pi\)
0.888722 + 0.458447i \(0.151594\pi\)
\(104\) 8.15974 3.92952i 0.800128 0.385321i
\(105\) −0.808514 0.0984761i −0.0789029 0.00961028i
\(106\) −13.0129 6.26668i −1.26392 0.608674i
\(107\) 14.4361 11.5124i 1.39559 1.11295i 0.416594 0.909092i \(-0.363224\pi\)
0.979001 0.203857i \(-0.0653479\pi\)
\(108\) 1.36390 0.175322i 0.131241 0.0168703i
\(109\) 6.52952 8.18776i 0.625415 0.784245i −0.363680 0.931524i \(-0.618480\pi\)
0.989095 + 0.147278i \(0.0470514\pi\)
\(110\) 0.251889 1.10360i 0.0240167 0.105224i
\(111\) 8.47770 + 2.22428i 0.804667 + 0.211119i
\(112\) 8.53364 + 8.14686i 0.806353 + 0.769806i
\(113\) −4.20092 + 3.35012i −0.395189 + 0.315153i −0.800843 0.598874i \(-0.795615\pi\)
0.405654 + 0.914027i \(0.367044\pi\)
\(114\) 0.721364 + 0.614266i 0.0675619 + 0.0575313i
\(115\) −0.281740 0.0643054i −0.0262724 0.00599651i
\(116\) 1.85320i 0.172065i
\(117\) −7.70003 6.99657i −0.711868 0.646833i
\(118\) −22.2235 5.07237i −2.04584 0.466950i
\(119\) 13.2622 1.80652i 1.21574 0.165604i
\(120\) 0.480764 + 0.644352i 0.0438875 + 0.0588210i
\(121\) 1.53791 + 6.73803i 0.139810 + 0.612548i
\(122\) −2.01511 2.52687i −0.182439 0.228772i
\(123\) 1.50025 2.87480i 0.135273 0.259212i
\(124\) −1.85328 + 0.422999i −0.166429 + 0.0379864i
\(125\) −0.394251 1.72732i −0.0352628 0.154497i
\(126\) 4.40592 11.1023i 0.392511 0.989069i
\(127\) −0.438500 + 1.92119i −0.0389106 + 0.170478i −0.990650 0.136430i \(-0.956437\pi\)
0.951739 + 0.306908i \(0.0992944\pi\)
\(128\) 13.0275i 1.15148i
\(129\) −4.04684 9.14506i −0.356305 0.805177i
\(130\) −0.206407 + 0.904327i −0.0181031 + 0.0793147i
\(131\) −9.69014 + 4.66652i −0.846631 + 0.407716i −0.806326 0.591471i \(-0.798547\pi\)
−0.0403051 + 0.999187i \(0.512833\pi\)
\(132\) 1.71982 + 0.897508i 0.149691 + 0.0781180i
\(133\) 0.900150 0.338595i 0.0780529 0.0293600i
\(134\) 13.4577 + 10.7322i 1.16257 + 0.927120i
\(135\) 0.479062 0.789577i 0.0412311 0.0679560i
\(136\) −10.3290 8.23712i −0.885707 0.706327i
\(137\) 1.98872 + 4.12961i 0.169907 + 0.352816i 0.968484 0.249077i \(-0.0801273\pi\)
−0.798576 + 0.601894i \(0.794413\pi\)
\(138\) 1.96072 3.75716i 0.166908 0.319831i
\(139\) 4.08871 8.49029i 0.346799 0.720137i −0.652491 0.757796i \(-0.726276\pi\)
0.999291 + 0.0376598i \(0.0119903\pi\)
\(140\) −0.123308 + 0.0167966i −0.0104214 + 0.00141957i
\(141\) −1.06264 0.904870i −0.0894900 0.0762038i
\(142\) −3.25254 1.56634i −0.272947 0.131445i
\(143\) −3.26597 14.3091i −0.273114 1.19659i
\(144\) −12.4013 + 5.01704i −1.03345 + 0.418087i
\(145\) 0.973088 + 0.776011i 0.0808105 + 0.0644442i
\(146\) −10.7863 −0.892678
\(147\) −7.69307 9.37105i −0.634514 0.772911i
\(148\) 1.33916 0.110078
\(149\) 12.8259 + 10.2283i 1.05074 + 0.837939i 0.987111 0.160035i \(-0.0511607\pi\)
0.0636303 + 0.997974i \(0.479732\pi\)
\(150\) 12.9435 + 0.416737i 1.05684 + 0.0340264i
\(151\) −0.707624 3.10030i −0.0575856 0.252299i 0.937939 0.346800i \(-0.112732\pi\)
−0.995525 + 0.0945007i \(0.969875\pi\)
\(152\) −0.855265 0.411874i −0.0693712 0.0334074i
\(153\) −4.32194 + 14.5483i −0.349408 + 1.17616i
\(154\) 14.0561 9.29333i 1.13267 0.748878i
\(155\) −0.553934 + 1.15026i −0.0444931 + 0.0923908i
\(156\) −1.40928 0.735448i −0.112832 0.0588830i
\(157\) −7.31203 15.1836i −0.583564 1.21178i −0.958596 0.284770i \(-0.908083\pi\)
0.375032 0.927012i \(-0.377632\pi\)
\(158\) 4.34573 + 3.46561i 0.345728 + 0.275709i
\(159\) −3.17565 16.3175i −0.251845 1.29406i
\(160\) 0.206719 + 0.164853i 0.0163426 + 0.0130328i
\(161\) −2.37252 3.58840i −0.186980 0.282806i
\(162\) 9.41723 + 9.73406i 0.739887 + 0.764780i
\(163\) 5.60254 2.69804i 0.438825 0.211327i −0.201408 0.979507i \(-0.564552\pi\)
0.640234 + 0.768180i \(0.278838\pi\)
\(164\) 0.110250 0.483038i 0.00860909 0.0377189i
\(165\) 1.19143 0.527226i 0.0927523 0.0410445i
\(166\) 25.3582i 1.96818i
\(167\) 2.60843 11.4283i 0.201846 0.884347i −0.767965 0.640491i \(-0.778731\pi\)
0.969812 0.243855i \(-0.0784122\pi\)
\(168\) −1.44692 + 11.8796i −0.111632 + 0.916529i
\(169\) −0.216525 0.948660i −0.0166558 0.0729738i
\(170\) 1.31918 0.301095i 0.101177 0.0230929i
\(171\) −0.0701476 + 1.08824i −0.00536432 + 0.0832195i
\(172\) −0.952681 1.19462i −0.0726413 0.0910893i
\(173\) −1.48849 6.52149i −0.113168 0.495820i −0.999465 0.0327033i \(-0.989588\pi\)
0.886298 0.463116i \(-0.153269\pi\)
\(174\) −14.6292 + 10.9152i −1.10904 + 0.827477i
\(175\) 6.73376 11.2895i 0.509025 0.853404i
\(176\) −18.3992 4.19949i −1.38689 0.316548i
\(177\) −10.6169 23.9921i −0.798015 1.80336i
\(178\) 3.94810i 0.295923i
\(179\) −1.21794 0.277986i −0.0910328 0.0207776i 0.176762 0.984254i \(-0.443438\pi\)
−0.267795 + 0.963476i \(0.586295\pi\)
\(180\) 0.0401843 0.135267i 0.00299516 0.0100822i
\(181\) 17.8456 14.2314i 1.32645 1.05781i 0.333074 0.942901i \(-0.391914\pi\)
0.993376 0.114908i \(-0.0366573\pi\)
\(182\) −11.5180 + 7.61527i −0.853772 + 0.564482i
\(183\) 0.944028 3.59811i 0.0697846 0.265980i
\(184\) −0.944845 + 4.13964i −0.0696549 + 0.305178i
\(185\) 0.560761 0.703172i 0.0412280 0.0516982i
\(186\) −14.2548 12.1384i −1.04521 0.890034i
\(187\) −16.7392 + 13.3491i −1.22409 + 0.976179i
\(188\) −0.192133 0.0925262i −0.0140127 0.00674817i
\(189\) 13.2742 3.57712i 0.965556 0.260197i
\(190\) 0.0875966 0.0421843i 0.00635493 0.00306037i
\(191\) −8.22945 + 17.0886i −0.595462 + 1.23649i 0.357645 + 0.933858i \(0.383580\pi\)
−0.953107 + 0.302633i \(0.902135\pi\)
\(192\) 9.27308 6.91882i 0.669227 0.499323i
\(193\) 12.4538 + 5.99742i 0.896443 + 0.431704i 0.824603 0.565712i \(-0.191399\pi\)
0.0718399 + 0.997416i \(0.477113\pi\)
\(194\) −0.516531 + 0.647709i −0.0370848 + 0.0465028i
\(195\) −0.976294 + 0.432027i −0.0699139 + 0.0309381i
\(196\) −1.50032 1.08664i −0.107166 0.0776172i
\(197\) 14.2135i 1.01267i 0.862336 + 0.506336i \(0.169000\pi\)
−0.862336 + 0.506336i \(0.831000\pi\)
\(198\) 3.04458 + 18.8625i 0.216369 + 1.34050i
\(199\) −4.55235 + 9.45306i −0.322708 + 0.670109i −0.997705 0.0677108i \(-0.978430\pi\)
0.674997 + 0.737820i \(0.264145\pi\)
\(200\) −12.6497 + 2.88720i −0.894466 + 0.204156i
\(201\) −0.637535 + 19.8013i −0.0449682 + 1.39668i
\(202\) 3.05315 + 6.33994i 0.214819 + 0.446077i
\(203\) 2.50063 + 18.3578i 0.175510 + 1.28846i
\(204\) −0.0746211 + 2.31767i −0.00522452 + 0.162270i
\(205\) −0.207469 0.260158i −0.0144903 0.0181702i
\(206\) −0.755296 + 0.363731i −0.0526239 + 0.0253424i
\(207\) 4.81546 0.777257i 0.334697 0.0540231i
\(208\) 15.0769 + 3.44120i 1.04539 + 0.238604i
\(209\) −0.959169 + 1.20276i −0.0663471 + 0.0831967i
\(210\) −0.858865 0.874469i −0.0592673 0.0603441i
\(211\) 16.8094 + 21.0784i 1.15721 + 1.45110i 0.869880 + 0.493264i \(0.164196\pi\)
0.287331 + 0.957831i \(0.407232\pi\)
\(212\) −1.10204 2.28841i −0.0756884 0.157169i
\(213\) −0.793746 4.07851i −0.0543866 0.279455i
\(214\) 27.7868 1.89946
\(215\) −1.02621 −0.0699867
\(216\) −11.6013 7.03891i −0.789371 0.478937i
\(217\) −17.7878 + 6.69095i −1.20751 + 0.454212i
\(218\) 15.3647 3.50689i 1.04063 0.237517i
\(219\) −7.42401 9.95016i −0.501668 0.672370i
\(220\) 0.155637 0.124116i 0.0104930 0.00836790i
\(221\) 13.7167 10.9387i 0.922682 0.735814i
\(222\) 7.88751 + 10.5714i 0.529375 + 0.709505i
\(223\) −19.5454 + 4.46110i −1.30885 + 0.298737i −0.819365 0.573272i \(-0.805674\pi\)
−0.489489 + 0.872010i \(0.662817\pi\)
\(224\) 0.531223 + 3.89985i 0.0354938 + 0.260570i
\(225\) 8.52439 + 12.2270i 0.568293 + 0.815136i
\(226\) −8.08594 −0.537869
\(227\) 11.9128 0.790678 0.395339 0.918535i \(-0.370627\pi\)
0.395339 + 0.918535i \(0.370627\pi\)
\(228\) 0.0318295 + 0.163550i 0.00210796 + 0.0108313i
\(229\) 0.809301 + 1.68053i 0.0534801 + 0.111053i 0.925996 0.377533i \(-0.123227\pi\)
−0.872516 + 0.488585i \(0.837513\pi\)
\(230\) −0.271148 0.340008i −0.0178789 0.0224195i
\(231\) 18.2475 + 6.57005i 1.20060 + 0.432278i
\(232\) 11.4020 14.2977i 0.748579 0.938688i
\(233\) −23.4982 5.36331i −1.53942 0.351362i −0.633138 0.774039i \(-0.718233\pi\)
−0.906280 + 0.422677i \(0.861090\pi\)
\(234\) −2.49483 15.4566i −0.163092 1.01043i
\(235\) −0.129038 + 0.0621414i −0.00841750 + 0.00405366i
\(236\) −2.49936 3.13410i −0.162695 0.204013i
\(237\) −0.205871 + 6.39419i −0.0133727 + 0.415347i
\(238\) 17.2987 + 10.3180i 1.12131 + 0.668820i
\(239\) −7.02615 14.5900i −0.454484 0.943746i −0.994758 0.102257i \(-0.967394\pi\)
0.540274 0.841489i \(-0.318321\pi\)
\(240\) −0.0441756 + 1.37206i −0.00285152 + 0.0885661i
\(241\) 9.85112 2.24845i 0.634567 0.144836i 0.106876 0.994272i \(-0.465915\pi\)
0.527691 + 0.849437i \(0.323058\pi\)
\(242\) −4.51267 + 9.37066i −0.290085 + 0.602369i
\(243\) −2.49779 + 15.3870i −0.160233 + 0.987079i
\(244\) 0.568367i 0.0363859i
\(245\) −1.19882 + 0.332773i −0.0765900 + 0.0212601i
\(246\) 4.46248 1.97472i 0.284517 0.125904i
\(247\) 0.785976 0.985583i 0.0500105 0.0627111i
\(248\) 16.9008 + 8.13901i 1.07320 + 0.516827i
\(249\) −23.3926 + 17.4536i −1.48244 + 1.10608i
\(250\) 1.15684 2.40221i 0.0731652 0.151929i
\(251\) 2.94270 1.41713i 0.185742 0.0894484i −0.338702 0.940894i \(-0.609988\pi\)
0.524443 + 0.851445i \(0.324273\pi\)
\(252\) 1.82308 1.04337i 0.114843 0.0657261i
\(253\) 6.19975 + 2.98564i 0.389775 + 0.187706i
\(254\) −2.31852 + 1.84896i −0.145477 + 0.116014i
\(255\) 1.18573 + 1.00969i 0.0742532 + 0.0632291i
\(256\) 3.89377 4.88263i 0.243360 0.305164i
\(257\) −2.21365 + 9.69862i −0.138084 + 0.604984i 0.857772 + 0.514031i \(0.171848\pi\)
−0.995855 + 0.0909527i \(0.971009\pi\)
\(258\) 3.81922 14.5567i 0.237774 0.906262i
\(259\) 13.2657 1.80700i 0.824290 0.112282i
\(260\) −0.127534 + 0.101705i −0.00790932 + 0.00630747i
\(261\) −20.1381 5.98252i −1.24652 0.370309i
\(262\) −15.7795 3.60156i −0.974859 0.222505i
\(263\) 0.309293i 0.0190718i 0.999955 + 0.00953591i \(0.00303542\pi\)
−0.999955 + 0.00953591i \(0.996965\pi\)
\(264\) −7.74658 17.5057i −0.476769 1.07740i
\(265\) −1.66308 0.379587i −0.102162 0.0233178i
\(266\) 1.37677 + 0.446209i 0.0844153 + 0.0273589i
\(267\) 3.64206 2.71742i 0.222891 0.166303i
\(268\) 0.673580 + 2.95115i 0.0411455 + 0.180270i
\(269\) 15.1386 + 18.9832i 0.923015 + 1.15742i 0.987200 + 0.159486i \(0.0509837\pi\)
−0.0641854 + 0.997938i \(0.520445\pi\)
\(270\) 1.30448 0.479492i 0.0793883 0.0291809i
\(271\) −19.4997 + 4.45069i −1.18453 + 0.270360i −0.769016 0.639229i \(-0.779254\pi\)
−0.415509 + 0.909589i \(0.636396\pi\)
\(272\) −5.01984 21.9934i −0.304373 1.33354i
\(273\) −14.9526 5.38372i −0.904975 0.325838i
\(274\) −1.53486 + 6.72468i −0.0927246 + 0.406253i
\(275\) 21.0272i 1.26799i
\(276\) 0.681535 0.301591i 0.0410236 0.0181536i
\(277\) 5.87838 25.7549i 0.353198 1.54746i −0.416550 0.909113i \(-0.636761\pi\)
0.769748 0.638348i \(-0.220382\pi\)
\(278\) 12.7768 6.15298i 0.766302 0.369031i
\(279\) 1.38618 21.5045i 0.0829884 1.28744i
\(280\) 1.05468 + 0.629078i 0.0630292 + 0.0375946i
\(281\) −21.5849 17.2134i −1.28765 1.02686i −0.997556 0.0698649i \(-0.977743\pi\)
−0.290090 0.956999i \(-0.593685\pi\)
\(282\) −0.401236 2.06167i −0.0238933 0.122771i
\(283\) 19.6902 + 15.7024i 1.17046 + 0.933412i 0.998662 0.0517197i \(-0.0164702\pi\)
0.171800 + 0.985132i \(0.445042\pi\)
\(284\) −0.275452 0.571982i −0.0163451 0.0339409i
\(285\) 0.0992057 + 0.0517718i 0.00587644 + 0.00306670i
\(286\) 9.58329 19.8999i 0.566672 1.17671i
\(287\) 0.440347 4.93373i 0.0259928 0.291229i
\(288\) −4.27807 1.27090i −0.252088 0.0748887i
\(289\) −7.74168 3.72820i −0.455393 0.219306i
\(290\) 0.416782 + 1.82604i 0.0244743 + 0.107229i
\(291\) −0.953022 0.0306840i −0.0558671 0.00179873i
\(292\) −1.48301 1.18266i −0.0867866 0.0692100i
\(293\) −5.13020 −0.299709 −0.149855 0.988708i \(-0.547881\pi\)
−0.149855 + 0.988708i \(0.547881\pi\)
\(294\) −0.258734 18.2438i −0.0150897 1.06400i
\(295\) −2.69225 −0.156749
\(296\) −10.3318 8.23932i −0.600522 0.478900i
\(297\) −15.3049 + 15.7914i −0.888078 + 0.916307i
\(298\) 5.49347 + 24.0685i 0.318228 + 1.39425i
\(299\) −5.08029 2.44654i −0.293801 0.141487i
\(300\) 1.73392 + 1.47649i 0.100108 + 0.0852453i
\(301\) −11.0492 10.5484i −0.636866 0.608001i
\(302\) 2.07637 4.31163i 0.119482 0.248106i
\(303\) −3.74706 + 7.18016i −0.215263 + 0.412490i
\(304\) −0.703295 1.46041i −0.0403367 0.0837601i
\(305\) −0.298441 0.237998i −0.0170887 0.0136277i
\(306\) −18.7353 + 13.0618i −1.07103 + 0.746694i
\(307\) −23.8547 19.0235i −1.36146 1.08573i −0.987387 0.158327i \(-0.949390\pi\)
−0.374071 0.927400i \(-0.622039\pi\)
\(308\) 2.95154 + 0.263432i 0.168180 + 0.0150104i
\(309\) −0.855394 0.446398i −0.0486617 0.0253947i
\(310\) −1.73099 + 0.833600i −0.0983136 + 0.0473453i
\(311\) 0.667589 2.92490i 0.0378555 0.165856i −0.952467 0.304642i \(-0.901463\pi\)
0.990322 + 0.138787i \(0.0443202\pi\)
\(312\) 6.34781 + 14.3448i 0.359374 + 0.812113i
\(313\) 3.32001i 0.187658i 0.995588 + 0.0938292i \(0.0299107\pi\)
−0.995588 + 0.0938292i \(0.970089\pi\)
\(314\) 5.64333 24.7250i 0.318471 1.39531i
\(315\) 0.215542 1.39417i 0.0121444 0.0785528i
\(316\) 0.217511 + 0.952976i 0.0122359 + 0.0536091i
\(317\) 1.26865 0.289561i 0.0712545 0.0162634i −0.186745 0.982408i \(-0.559794\pi\)
0.258000 + 0.966145i \(0.416937\pi\)
\(318\) 11.5739 22.1780i 0.649032 1.24368i
\(319\) −18.4781 23.1707i −1.03457 1.29731i
\(320\) −0.264187 1.15748i −0.0147685 0.0647050i
\(321\) 19.1252 + 25.6329i 1.06746 + 1.43069i
\(322\) 0.575502 6.44803i 0.0320715 0.359335i
\(323\) −1.79280 0.409195i −0.0997541 0.0227682i
\(324\) 0.227489 + 2.37089i 0.0126383 + 0.131716i
\(325\) 17.2304i 0.955770i
\(326\) 9.12321 + 2.08231i 0.505288 + 0.115329i
\(327\) 13.8103 + 11.7600i 0.763713 + 0.650328i
\(328\) −3.82253 + 3.04837i −0.211064 + 0.168318i
\(329\) −2.02811 0.657307i −0.111813 0.0362385i
\(330\) 1.89646 + 0.497571i 0.104397 + 0.0273904i
\(331\) −1.41536 + 6.20111i −0.0777954 + 0.340844i −0.998815 0.0486728i \(-0.984501\pi\)
0.921019 + 0.389517i \(0.127358\pi\)
\(332\) −2.78040 + 3.48651i −0.152594 + 0.191347i
\(333\) −4.32309 + 14.5522i −0.236904 + 0.797457i
\(334\) 13.7918 10.9986i 0.754654 0.601817i
\(335\) 1.83166 + 0.882080i 0.100074 + 0.0481932i
\(336\) −14.5791 + 14.3190i −0.795356 + 0.781163i
\(337\) −21.3466 + 10.2800i −1.16282 + 0.559985i −0.912861 0.408271i \(-0.866132\pi\)
−0.249960 + 0.968256i \(0.580418\pi\)
\(338\) 0.635347 1.31931i 0.0345583 0.0717611i
\(339\) −5.56542 7.45916i −0.302272 0.405126i
\(340\) 0.214389 + 0.103244i 0.0116269 + 0.00559920i
\(341\) 18.9541 23.7676i 1.02642 1.28709i
\(342\) −1.10360 + 1.21455i −0.0596756 + 0.0656756i
\(343\) −16.3284 8.73978i −0.881650 0.471904i
\(344\) 15.0781i 0.812959i
\(345\) 0.127026 0.484152i 0.00683885 0.0260659i
\(346\) 4.36765 9.06951i 0.234806 0.487580i
\(347\) 13.9883 3.19273i 0.750930 0.171395i 0.170108 0.985425i \(-0.445588\pi\)
0.580822 + 0.814031i \(0.302731\pi\)
\(348\) −3.20818 0.103292i −0.171976 0.00553704i
\(349\) 12.8264 + 26.6343i 0.686582 + 1.42570i 0.894280 + 0.447509i \(0.147689\pi\)
−0.207698 + 0.978193i \(0.566597\pi\)
\(350\) 18.5153 6.96460i 0.989682 0.372273i
\(351\) 12.5413 12.9400i 0.669406 0.690684i
\(352\) −3.92540 4.92230i −0.209225 0.262360i
\(353\) 10.8042 5.20303i 0.575050 0.276930i −0.123672 0.992323i \(-0.539467\pi\)
0.698722 + 0.715394i \(0.253753\pi\)
\(354\) 10.0197 38.1896i 0.532543 2.02976i
\(355\) −0.415682 0.0948768i −0.0220621 0.00503554i
\(356\) 0.432890 0.542827i 0.0229431 0.0287698i
\(357\) 2.38817 + 23.0595i 0.126395 + 1.22044i
\(358\) −1.17214 1.46982i −0.0619498 0.0776826i
\(359\) 2.71099 + 5.62942i 0.143080 + 0.297110i 0.960178 0.279390i \(-0.0901324\pi\)
−0.817097 + 0.576500i \(0.804418\pi\)
\(360\) −1.14227 + 0.796362i −0.0602029 + 0.0419719i
\(361\) 18.8679 0.993046
\(362\) 34.3492 1.80535
\(363\) −11.7503 + 2.28680i −0.616730 + 0.120026i
\(364\) −2.41859 0.215865i −0.126769 0.0113144i
\(365\) −1.24199 + 0.283477i −0.0650089 + 0.0148379i
\(366\) 4.48671 3.34762i 0.234524 0.174983i
\(367\) −14.5969 + 11.6406i −0.761950 + 0.607635i −0.925433 0.378912i \(-0.876298\pi\)
0.163483 + 0.986546i \(0.447727\pi\)
\(368\) −5.66860 + 4.52056i −0.295496 + 0.235650i
\(369\) 4.89310 + 2.75740i 0.254725 + 0.143544i
\(370\) 1.31953 0.301175i 0.0685994 0.0156574i
\(371\) −14.0047 21.1819i −0.727086 1.09971i
\(372\) −0.628980 3.23189i −0.0326111 0.167566i
\(373\) 21.0122 1.08797 0.543986 0.839095i \(-0.316915\pi\)
0.543986 + 0.839095i \(0.316915\pi\)
\(374\) −32.2197 −1.66604
\(375\) 3.01224 0.586232i 0.155551 0.0302729i
\(376\) 0.913049 + 1.89597i 0.0470869 + 0.0977770i
\(377\) 15.1415 + 18.9869i 0.779829 + 0.977875i
\(378\) 18.9742 + 8.24613i 0.975925 + 0.424135i
\(379\) 4.00244 5.01890i 0.205591 0.257803i −0.668336 0.743859i \(-0.732993\pi\)
0.873928 + 0.486056i \(0.161565\pi\)
\(380\) 0.0166690 + 0.00380459i 0.000855102 + 0.000195171i
\(381\) −3.30144 0.866192i −0.169138 0.0443764i
\(382\) −25.7162 + 12.3843i −1.31576 + 0.633635i
\(383\) 16.3846 + 20.5456i 0.837214 + 1.04983i 0.998023 + 0.0628476i \(0.0200182\pi\)
−0.160809 + 0.986986i \(0.551410\pi\)
\(384\) 22.5526 + 0.726117i 1.15088 + 0.0370545i
\(385\) 1.37426 1.43950i 0.0700386 0.0733637i
\(386\) 9.02536 + 18.7414i 0.459379 + 0.953910i
\(387\) 16.0571 6.49599i 0.816226 0.330210i
\(388\) −0.142036 + 0.0324188i −0.00721080 + 0.00164582i
\(389\) −2.94515 + 6.11567i −0.149325 + 0.310077i −0.962192 0.272373i \(-0.912192\pi\)
0.812867 + 0.582450i \(0.197906\pi\)
\(390\) −1.55402 0.407726i −0.0786911 0.0206460i
\(391\) 8.22543i 0.415978i
\(392\) 4.88946 + 17.6144i 0.246955 + 0.889663i
\(393\) −7.53837 17.0352i −0.380260 0.859313i
\(394\) −13.3362 + 16.7230i −0.671866 + 0.842494i
\(395\) 0.591474 + 0.284839i 0.0297603 + 0.0143318i
\(396\) −1.64958 + 2.92724i −0.0828946 + 0.147099i
\(397\) 9.61096 19.9574i 0.482360 1.00163i −0.507771 0.861492i \(-0.669530\pi\)
0.990132 0.140140i \(-0.0447552\pi\)
\(398\) −14.2256 + 6.85071i −0.713067 + 0.343395i
\(399\) 0.535989 + 1.57717i 0.0268330 + 0.0789573i
\(400\) −19.9613 9.61286i −0.998065 0.480643i
\(401\) 19.0491 15.1912i 0.951268 0.758611i −0.0192059 0.999816i \(-0.506114\pi\)
0.970474 + 0.241204i \(0.0775424\pi\)
\(402\) −19.3292 + 22.6992i −0.964051 + 1.13213i
\(403\) −15.5316 + 19.4760i −0.773684 + 0.970169i
\(404\) −0.275363 + 1.20644i −0.0136998 + 0.0600229i
\(405\) 1.34018 + 0.873339i 0.0665940 + 0.0433966i
\(406\) −14.2825 + 23.9452i −0.708827 + 1.18838i
\(407\) −16.7436 + 13.3526i −0.829951 + 0.661864i
\(408\) 14.8354 17.4220i 0.734464 0.862518i
\(409\) 12.4468 + 2.84089i 0.615452 + 0.140473i 0.518872 0.854852i \(-0.326352\pi\)
0.0965807 + 0.995325i \(0.469209\pi\)
\(410\) 0.500754i 0.0247305i
\(411\) −7.25984 + 3.21260i −0.358101 + 0.158466i
\(412\) −0.143727 0.0328048i −0.00708094 0.00161618i
\(413\) −28.9877 27.6738i −1.42639 1.36174i
\(414\) 6.39494 + 3.60372i 0.314294 + 0.177113i
\(415\) 0.666446 + 2.91989i 0.0327146 + 0.143332i
\(416\) 3.21661 + 4.03350i 0.157707 + 0.197759i
\(417\) 14.4701 + 7.55140i 0.708604 + 0.369794i
\(418\) −2.25704 + 0.515154i −0.110395 + 0.0251970i
\(419\) −7.20039 31.5470i −0.351762 1.54117i −0.773110 0.634272i \(-0.781300\pi\)
0.421348 0.906899i \(-0.361557\pi\)
\(420\) −0.0222046 0.214402i −0.00108347 0.0104617i
\(421\) −2.84705 + 12.4737i −0.138757 + 0.607933i 0.856952 + 0.515395i \(0.172355\pi\)
−0.995709 + 0.0925375i \(0.970502\pi\)
\(422\) 40.5718i 1.97500i
\(423\) 1.62570 1.78915i 0.0790441 0.0869914i
\(424\) −5.57730 + 24.4358i −0.270858 + 1.18671i
\(425\) −22.6456 + 10.9056i −1.09847 + 0.528998i
\(426\) 2.89287 5.54335i 0.140160 0.268576i
\(427\) −0.766928 5.63023i −0.0371143 0.272466i
\(428\) 3.82042 + 3.04668i 0.184667 + 0.147267i
\(429\) 24.9534 4.85635i 1.20476 0.234467i
\(430\) −1.20739 0.962861i −0.0582255 0.0464333i
\(431\) −5.85670 12.1616i −0.282107 0.585802i 0.710976 0.703217i \(-0.248254\pi\)
−0.993083 + 0.117415i \(0.962539\pi\)
\(432\) −7.99406 21.7483i −0.384614 1.04636i
\(433\) 1.48761 3.08906i 0.0714901 0.148451i −0.862161 0.506634i \(-0.830889\pi\)
0.933651 + 0.358184i \(0.116604\pi\)
\(434\) −27.2063 8.81750i −1.30594 0.423254i
\(435\) −1.39763 + 1.64131i −0.0670113 + 0.0786949i
\(436\) 2.49702 + 1.20250i 0.119585 + 0.0575893i
\(437\) 0.131515 + 0.576203i 0.00629120 + 0.0275635i
\(438\) 0.601196 18.6727i 0.0287262 0.892215i
\(439\) −8.32863 6.64186i −0.397504 0.316999i 0.404255 0.914646i \(-0.367531\pi\)
−0.801759 + 0.597648i \(0.796102\pi\)
\(440\) −1.96439 −0.0936487
\(441\) 16.6515 12.7956i 0.792930 0.609313i
\(442\) 26.4019 1.25581
\(443\) −31.3236 24.9797i −1.48823 1.18682i −0.935432 0.353508i \(-0.884989\pi\)
−0.552798 0.833316i \(-0.686440\pi\)
\(444\) −0.0746410 + 2.31829i −0.00354230 + 0.110021i
\(445\) −0.103761 0.454608i −0.00491875 0.0215505i
\(446\) −27.1819 13.0901i −1.28710 0.619836i
\(447\) −18.4217 + 21.6336i −0.871317 + 1.02323i
\(448\) 9.05327 15.1782i 0.427727 0.717104i
\(449\) 0.649037 1.34774i 0.0306300 0.0636038i −0.885092 0.465415i \(-0.845905\pi\)
0.915722 + 0.401811i \(0.131619\pi\)
\(450\) −1.44287 + 22.3840i −0.0680176 + 1.05519i
\(451\) 3.43784 + 7.13875i 0.161882 + 0.336151i
\(452\) −1.11174 0.886583i −0.0522919 0.0417014i
\(453\) 5.40654 1.05220i 0.254022 0.0494369i
\(454\) 14.0161 + 11.1774i 0.657806 + 0.524583i
\(455\) −1.12611 + 1.17958i −0.0527930 + 0.0552993i
\(456\) 0.760687 1.45764i 0.0356225 0.0682602i
\(457\) −16.7736 + 8.07774i −0.784636 + 0.377861i −0.782908 0.622138i \(-0.786264\pi\)
−0.00172816 + 0.999999i \(0.500550\pi\)
\(458\) −0.624608 + 2.73659i −0.0291860 + 0.127872i
\(459\) −24.9445 8.29282i −1.16431 0.387076i
\(460\) 0.0764779i 0.00356580i
\(461\) −7.84702 + 34.3801i −0.365472 + 1.60124i 0.373585 + 0.927596i \(0.378129\pi\)
−0.739057 + 0.673643i \(0.764729\pi\)
\(462\) 15.3047 + 24.8512i 0.712041 + 1.15618i
\(463\) −7.70536 33.7594i −0.358099 1.56893i −0.757925 0.652342i \(-0.773787\pi\)
0.399826 0.916591i \(-0.369070\pi\)
\(464\) 30.4437 6.94858i 1.41331 0.322580i
\(465\) −1.96040 1.02306i −0.0909112 0.0474431i
\(466\) −22.6147 28.3580i −1.04761 1.31366i
\(467\) −3.71174 16.2622i −0.171759 0.752525i −0.985274 0.170982i \(-0.945306\pi\)
0.813515 0.581544i \(-0.197551\pi\)
\(468\) 1.35172 2.39868i 0.0624834 0.110879i
\(469\) 10.6546 + 28.3251i 0.491984 + 1.30793i
\(470\) −0.210126 0.0479599i −0.00969239 0.00221222i
\(471\) 26.6927 11.8120i 1.22993 0.544266i
\(472\) 39.5576i 1.82078i
\(473\) 23.8229 + 5.43743i 1.09538 + 0.250013i
\(474\) −6.24171 + 7.32997i −0.286691 + 0.336677i
\(475\) −1.41199 + 1.12603i −0.0647867 + 0.0516657i
\(476\) 1.24708 + 3.31535i 0.0571600 + 0.151959i
\(477\) 28.4250 4.58805i 1.30149 0.210072i
\(478\) 5.42269 23.7584i 0.248028 1.08668i
\(479\) −9.86022 + 12.3643i −0.450525 + 0.564940i −0.954283 0.298904i \(-0.903379\pi\)
0.503758 + 0.863845i \(0.331950\pi\)
\(480\) −0.296907 + 0.348674i −0.0135519 + 0.0159147i
\(481\) 13.7203 10.9416i 0.625592 0.498893i
\(482\) 13.7001 + 6.59761i 0.624021 + 0.300513i
\(483\) 6.34431 3.90718i 0.288676 0.177783i
\(484\) −1.64790 + 0.793585i −0.0749043 + 0.0360720i
\(485\) −0.0424538 + 0.0881561i −0.00192773 + 0.00400296i
\(486\) −17.3760 + 15.7601i −0.788193 + 0.714894i
\(487\) 1.69673 + 0.817101i 0.0768861 + 0.0370264i 0.471932 0.881635i \(-0.343557\pi\)
−0.395046 + 0.918662i \(0.629271\pi\)
\(488\) −3.49693 + 4.38502i −0.158299 + 0.198500i
\(489\) 4.35846 + 9.84925i 0.197096 + 0.445398i
\(490\) −1.72272 0.733297i −0.0778244 0.0331270i
\(491\) 11.6554i 0.526003i 0.964795 + 0.263001i \(0.0847124\pi\)
−0.964795 + 0.263001i \(0.915288\pi\)
\(492\) 0.830067 + 0.217783i 0.0374223 + 0.00981842i
\(493\) 15.3707 31.9176i 0.692262 1.43750i
\(494\) 1.84949 0.422134i 0.0832125 0.0189927i
\(495\) 0.846302 + 2.09193i 0.0380385 + 0.0940251i
\(496\) 13.8977 + 28.8590i 0.624027 + 1.29581i
\(497\) −3.50043 5.29436i −0.157016 0.237485i
\(498\) −43.8989 1.41339i −1.96716 0.0633357i
\(499\) −10.2080 12.8004i −0.456972 0.573025i 0.498955 0.866628i \(-0.333717\pi\)
−0.955928 + 0.293603i \(0.905146\pi\)
\(500\) 0.422445 0.203439i 0.0188923 0.00909807i
\(501\) 19.6387 + 5.15257i 0.877393 + 0.230200i
\(502\) 4.79191 + 1.09372i 0.213873 + 0.0488152i
\(503\) −11.8380 + 14.8444i −0.527831 + 0.661879i −0.972251 0.233939i \(-0.924838\pi\)
0.444420 + 0.895819i \(0.353410\pi\)
\(504\) −20.4847 3.16697i −0.912462 0.141068i
\(505\) 0.518180 + 0.649777i 0.0230587 + 0.0289147i
\(506\) 4.49301 + 9.32984i 0.199739 + 0.414762i
\(507\) 1.65434 0.321963i 0.0734720 0.0142989i
\(508\) −0.521504 −0.0231380
\(509\) −20.7293 −0.918809 −0.459405 0.888227i \(-0.651937\pi\)
−0.459405 + 0.888227i \(0.651937\pi\)
\(510\) 0.447714 + 2.30049i 0.0198251 + 0.101867i
\(511\) −16.2865 9.71430i −0.720472 0.429735i
\(512\) −16.2393 + 3.70652i −0.717683 + 0.163806i
\(513\) −1.87999 0.182091i −0.0830038 0.00803953i
\(514\) −11.7044 + 9.33398i −0.516261 + 0.411704i
\(515\) −0.0774098 + 0.0617323i −0.00341108 + 0.00272025i
\(516\) 2.12118 1.58265i 0.0933797 0.0696724i
\(517\) 3.32482 0.758868i 0.146225 0.0333750i
\(518\) 17.3033 + 10.3208i 0.760263 + 0.453470i
\(519\) 11.3727 2.21331i 0.499205 0.0971536i
\(520\) 1.60969 0.0705895
\(521\) 14.5992 0.639602 0.319801 0.947485i \(-0.396384\pi\)
0.319801 + 0.947485i \(0.396384\pi\)
\(522\) −18.0804 25.9339i −0.791359 1.13509i
\(523\) −14.0425 29.1595i −0.614035 1.27506i −0.943651 0.330941i \(-0.892634\pi\)
0.329617 0.944115i \(-0.393081\pi\)
\(524\) −1.77463 2.22532i −0.0775253 0.0972136i
\(525\) 19.1685 + 12.2864i 0.836581 + 0.536223i
\(526\) −0.290201 + 0.363901i −0.0126534 + 0.0158668i
\(527\) 35.4274 + 8.08607i 1.54324 + 0.352235i
\(528\) 8.29548 31.6177i 0.361014 1.37598i
\(529\) −18.3404 + 8.83229i −0.797411 + 0.384013i
\(530\) −1.60055 2.00703i −0.0695235 0.0871797i
\(531\) 42.1258 17.0422i 1.82810 0.739570i
\(532\) 0.140369 + 0.212306i 0.00608575 + 0.00920463i
\(533\) −2.81709 5.84974i −0.122022 0.253380i
\(534\) 6.83477 + 0.220056i 0.295770 + 0.00952276i
\(535\) 3.19953 0.730272i 0.138328 0.0315724i
\(536\) 12.9605 26.9127i 0.559808 1.16245i
\(537\) 0.549121 2.09294i 0.0236963 0.0903171i
\(538\) 36.5389i 1.57530i
\(539\) 29.5934 1.37313i 1.27468 0.0591447i
\(540\) 0.231928 + 0.0771045i 0.00998059 + 0.00331805i
\(541\) 21.1816 26.5609i 0.910667 1.14194i −0.0787577 0.996894i \(-0.525095\pi\)
0.989425 0.145047i \(-0.0463332\pi\)
\(542\) −27.1185 13.0596i −1.16484 0.560958i
\(543\) 23.6420 + 31.6866i 1.01458 + 1.35980i
\(544\) 3.26529 6.78045i 0.139998 0.290709i
\(545\) 1.67702 0.807609i 0.0718355 0.0345942i
\(546\) −12.5412 20.3639i −0.536715 0.871495i
\(547\) 1.41284 + 0.680386i 0.0604085 + 0.0290912i 0.463844 0.885917i \(-0.346470\pi\)
−0.403436 + 0.915008i \(0.632184\pi\)
\(548\) −0.948357 + 0.756290i −0.0405118 + 0.0323071i
\(549\) 6.17626 + 1.83481i 0.263596 + 0.0783076i
\(550\) −19.7292 + 24.7397i −0.841257 + 1.05490i
\(551\) 0.566417 2.48164i 0.0241302 0.105721i
\(552\) −7.11369 1.86640i −0.302779 0.0794394i
\(553\) 3.44056 + 9.14666i 0.146307 + 0.388956i
\(554\) 31.0814 24.7866i 1.32052 1.05308i
\(555\) 1.18604 + 1.00996i 0.0503448 + 0.0428703i
\(556\) 2.43133 + 0.554936i 0.103111 + 0.0235345i
\(557\) 3.04068i 0.128838i 0.997923 + 0.0644189i \(0.0205194\pi\)
−0.997923 + 0.0644189i \(0.979481\pi\)
\(558\) 21.8080 24.0007i 0.923208 1.01603i
\(559\) −19.5213 4.45561i −0.825664 0.188452i
\(560\) 0.738272 + 1.96268i 0.0311977 + 0.0829384i
\(561\) −22.1763 29.7221i −0.936283 1.25487i
\(562\) −9.24501 40.5050i −0.389977 1.70860i
\(563\) −20.1096 25.2166i −0.847519 1.06275i −0.997256 0.0740289i \(-0.976414\pi\)
0.149738 0.988726i \(-0.452157\pi\)
\(564\) 0.170886 0.327454i 0.00719560 0.0137883i
\(565\) −0.931063 + 0.212509i −0.0391701 + 0.00894032i
\(566\) 8.43350 + 36.9496i 0.354487 + 1.55311i
\(567\) 5.45267 + 23.1790i 0.228991 + 0.973429i
\(568\) −1.39403 + 6.10766i −0.0584923 + 0.256272i
\(569\) 5.55379i 0.232827i 0.993201 + 0.116414i \(0.0371398\pi\)
−0.993201 + 0.116414i \(0.962860\pi\)
\(570\) 0.0681452 + 0.153994i 0.00285429 + 0.00645012i
\(571\) −2.17521 + 9.53022i −0.0910297 + 0.398827i −0.999831 0.0184028i \(-0.994142\pi\)
0.908801 + 0.417230i \(0.136999\pi\)
\(572\) 3.49954 1.68529i 0.146323 0.0704654i
\(573\) −29.1244 15.1989i −1.21669 0.634944i
\(574\) 5.14727 5.39164i 0.214843 0.225043i
\(575\) 6.31585 + 5.03672i 0.263389 + 0.210046i
\(576\) 11.4607 + 16.4388i 0.477529 + 0.684948i
\(577\) 13.3944 + 10.6817i 0.557618 + 0.444685i 0.861306 0.508086i \(-0.169647\pi\)
−0.303689 + 0.952771i \(0.598218\pi\)
\(578\) −5.61046 11.6502i −0.233365 0.484586i
\(579\) −11.0766 + 21.2251i −0.460328 + 0.882086i
\(580\) −0.142913 + 0.296762i −0.00593414 + 0.0123224i
\(581\) −22.8380 + 38.2891i −0.947482 + 1.58850i
\(582\) −1.09249 0.930296i −0.0452854 0.0385620i
\(583\) 36.5964 + 17.6239i 1.51567 + 0.729907i
\(584\) 4.16515 + 18.2487i 0.172355 + 0.755138i
\(585\) −0.693489 1.71420i −0.0286722 0.0708733i
\(586\) −6.03597 4.81352i −0.249344 0.198845i
\(587\) 12.5088 0.516293 0.258147 0.966106i \(-0.416888\pi\)
0.258147 + 0.966106i \(0.416888\pi\)
\(588\) 1.96477 2.53672i 0.0810256 0.104612i
\(589\) 2.61103 0.107586
\(590\) −3.16759 2.52607i −0.130408 0.103997i
\(591\) −24.6058 0.792221i −1.01215 0.0325876i
\(592\) −5.02118 21.9992i −0.206369 0.904162i
\(593\) 26.6849 + 12.8508i 1.09582 + 0.527719i 0.892341 0.451361i \(-0.149061\pi\)
0.203477 + 0.979080i \(0.434776\pi\)
\(594\) −32.8236 + 4.21929i −1.34677 + 0.173120i
\(595\) 2.26304 + 0.733448i 0.0927758 + 0.0300685i
\(596\) −1.88369 + 3.91152i −0.0771588 + 0.160222i
\(597\) −16.1110 8.40771i −0.659378 0.344105i
\(598\) −3.68173 7.64519i −0.150557 0.312635i
\(599\) 1.83439 + 1.46288i 0.0749512 + 0.0597716i 0.660249 0.751047i \(-0.270451\pi\)
−0.585298 + 0.810819i \(0.699022\pi\)
\(600\) −4.29313 22.0594i −0.175266 0.900572i
\(601\) 12.0292 + 9.59294i 0.490680 + 0.391304i 0.837336 0.546688i \(-0.184112\pi\)
−0.346656 + 0.937992i \(0.612683\pi\)
\(602\) −3.10273 22.7780i −0.126458 0.928362i
\(603\) −34.2436 2.20734i −1.39451 0.0898899i
\(604\) 0.758230 0.365144i 0.0308519 0.0148575i
\(605\) −0.273342 + 1.19759i −0.0111129 + 0.0486890i
\(606\) −11.1456 + 4.93211i −0.452758 + 0.200353i
\(607\) 35.8603i 1.45553i −0.685829 0.727763i \(-0.740560\pi\)
0.685829 0.727763i \(-0.259440\pi\)
\(608\) 0.120327 0.527189i 0.00487992 0.0213803i
\(609\) −31.9195 + 3.30576i −1.29344 + 0.133956i
\(610\) −0.127825 0.560037i −0.00517548 0.0226753i
\(611\) −2.72447 + 0.621843i −0.110220 + 0.0251571i
\(612\) −4.00809 0.258361i −0.162018 0.0104436i
\(613\) −7.28431 9.13424i −0.294211 0.368928i 0.612653 0.790352i \(-0.290102\pi\)
−0.906864 + 0.421423i \(0.861531\pi\)
\(614\) −10.2172 44.7644i −0.412332 1.80654i
\(615\) 0.461938 0.344661i 0.0186271 0.0138981i
\(616\) −21.1507 20.1921i −0.852186 0.813562i
\(617\) −1.44254 0.329249i −0.0580743 0.0132551i 0.193385 0.981123i \(-0.438053\pi\)
−0.251459 + 0.967868i \(0.580910\pi\)
\(618\) −0.587577 1.32781i −0.0236358 0.0534122i
\(619\) 12.3921i 0.498080i 0.968493 + 0.249040i \(0.0801151\pi\)
−0.968493 + 0.249040i \(0.919885\pi\)
\(620\) −0.329395 0.0751822i −0.0132288 0.00301939i
\(621\) 1.07715 + 8.37962i 0.0432246 + 0.336262i
\(622\) 3.52981 2.81493i 0.141533 0.112868i
\(623\) 3.55573 5.96135i 0.142457 0.238837i
\(624\) −6.79759 + 25.9086i −0.272122 + 1.03717i
\(625\) −5.45780 + 23.9122i −0.218312 + 0.956488i
\(626\) −3.11508 + 3.90619i −0.124504 + 0.156123i
\(627\) −2.02870 1.72751i −0.0810186 0.0689900i
\(628\) 3.48688 2.78070i 0.139142 0.110962i
\(629\) −23.0643 11.1072i −0.919634 0.442872i
\(630\) 1.56171 1.43809i 0.0622201 0.0572948i
\(631\) 27.4119 13.2009i 1.09125 0.525518i 0.200353 0.979724i \(-0.435791\pi\)
0.890897 + 0.454206i \(0.150077\pi\)
\(632\) 4.18516 8.69058i 0.166477 0.345693i
\(633\) −37.4268 + 27.9249i −1.48758 + 1.10991i
\(634\) 1.76433 + 0.849655i 0.0700704 + 0.0337441i
\(635\) −0.218375 + 0.273834i −0.00866596 + 0.0108668i
\(636\) 4.02301 1.78025i 0.159523 0.0705915i
\(637\) −24.2498 + 1.12519i −0.960813 + 0.0445815i
\(638\) 44.5992i 1.76570i
\(639\) 7.10477 1.14677i 0.281060 0.0453656i
\(640\) 1.00464 2.08616i 0.0397119 0.0824626i
\(641\) −10.7202 + 2.44681i −0.423422 + 0.0966433i −0.428922 0.903342i \(-0.641106\pi\)
0.00549986 + 0.999985i \(0.498249\pi\)
\(642\) −1.54876 + 48.1032i −0.0611245 + 1.89848i
\(643\) −4.14728 8.61191i −0.163553 0.339621i 0.803045 0.595918i \(-0.203212\pi\)
−0.966598 + 0.256297i \(0.917497\pi\)
\(644\) 0.786120 0.823442i 0.0309775 0.0324482i
\(645\) 0.0571978 1.77652i 0.00225216 0.0699504i
\(646\) −1.72540 2.16358i −0.0678848 0.0851249i
\(647\) 19.6999 9.48698i 0.774484 0.372972i −0.00452109 0.999990i \(-0.501439\pi\)
0.779005 + 0.627018i \(0.215725\pi\)
\(648\) 12.8321 19.6914i 0.504091 0.773550i
\(649\) 62.4995 + 14.2651i 2.45332 + 0.559955i
\(650\) 16.1668 20.2725i 0.634114 0.795154i
\(651\) −10.5916 31.1663i −0.415119 1.22150i
\(652\) 1.02604 + 1.28661i 0.0401828 + 0.0503877i
\(653\) 4.23152 + 8.78685i 0.165592 + 0.343856i 0.967209 0.253983i \(-0.0817406\pi\)
−0.801616 + 0.597839i \(0.796026\pi\)
\(654\) 5.21459 + 26.7941i 0.203907 + 1.04773i
\(655\) −1.91159 −0.0746922
\(656\) −8.34854 −0.325956
\(657\) 17.6391 12.2975i 0.688165 0.479772i
\(658\) −1.76946 2.67628i −0.0689806 0.104332i
\(659\) 30.2466 6.90359i 1.17824 0.268926i 0.411820 0.911265i \(-0.364893\pi\)
0.766420 + 0.642339i \(0.222036\pi\)
\(660\) 0.206189 + 0.276349i 0.00802591 + 0.0107569i
\(661\) 25.2895 20.1677i 0.983648 0.784433i 0.00715316 0.999974i \(-0.497723\pi\)
0.976495 + 0.215541i \(0.0691516\pi\)
\(662\) −7.48359 + 5.96797i −0.290858 + 0.231952i
\(663\) 18.1720 + 24.3553i 0.705741 + 0.945883i
\(664\) 42.9022 9.79216i 1.66493 0.380009i
\(665\) 0.170257 + 0.0151958i 0.00660227 + 0.000589268i
\(666\) −18.7403 + 13.0653i −0.726172 + 0.506269i
\(667\) −11.3858 −0.440861
\(668\) 3.10219 0.120027
\(669\) −6.63345 34.0847i −0.256464 1.31779i
\(670\) 1.32742 + 2.75641i 0.0512826 + 0.106489i
\(671\) 5.66712 + 7.10634i 0.218777 + 0.274337i
\(672\) −6.78085 + 0.702262i −0.261577 + 0.0270904i
\(673\) −12.2567 + 15.3694i −0.472461 + 0.592447i −0.959772 0.280781i \(-0.909406\pi\)
0.487311 + 0.873229i \(0.337978\pi\)
\(674\) −34.7609 7.93394i −1.33894 0.305604i
\(675\) −21.6420 + 14.0755i −0.833002 + 0.541767i
\(676\) 0.232010 0.111730i 0.00892347 0.00429732i
\(677\) 26.3303 + 33.0172i 1.01196 + 1.26895i 0.962815 + 0.270162i \(0.0870774\pi\)
0.0491424 + 0.998792i \(0.484351\pi\)
\(678\) 0.450687 13.9980i 0.0173085 0.537590i
\(679\) −1.36326 + 0.512798i −0.0523172 + 0.0196794i
\(680\) −1.01881 2.11559i −0.0390698 0.0811292i
\(681\) −0.663984 + 20.6228i −0.0254439 + 0.790269i
\(682\) 44.6011 10.1799i 1.70786 0.389809i
\(683\) −1.23063 + 2.55544i −0.0470889 + 0.0977810i −0.923186 0.384354i \(-0.874424\pi\)
0.876097 + 0.482135i \(0.160139\pi\)
\(684\) −0.284904 + 0.0459860i −0.0108936 + 0.00175832i
\(685\) 0.814657i 0.0311265i
\(686\) −11.0110 25.6033i −0.420401 0.977540i
\(687\) −2.95437 + 1.30736i −0.112716 + 0.0498788i
\(688\) −16.0528 + 20.1295i −0.612006 + 0.767431i
\(689\) −29.9883 14.4416i −1.14246 0.550181i
\(690\) 0.603720 0.450447i 0.0229832 0.0171482i
\(691\) −1.13443 + 2.35567i −0.0431558 + 0.0896139i −0.921432 0.388540i \(-0.872980\pi\)
0.878276 + 0.478154i \(0.158694\pi\)
\(692\) 1.59494 0.768081i 0.0606304 0.0291981i
\(693\) −12.3908 + 31.2231i −0.470689 + 1.18607i
\(694\) 19.4537 + 9.36839i 0.738451 + 0.355619i
\(695\) 1.30949 1.04428i 0.0496717 0.0396118i
\(696\) 24.1159 + 20.5355i 0.914112 + 0.778398i
\(697\) −5.90521 + 7.40491i −0.223676 + 0.280481i
\(698\) −9.89925 + 43.3714i −0.374692 + 1.64163i
\(699\) 10.5944 40.3801i 0.400718 1.52731i
\(700\) 3.30931 + 1.07254i 0.125080 + 0.0405382i
\(701\) 9.09569 7.25357i 0.343540 0.273964i −0.436486 0.899711i \(-0.643777\pi\)
0.780026 + 0.625747i \(0.215206\pi\)
\(702\) 26.8968 3.45743i 1.01515 0.130492i
\(703\) −1.79328 0.409304i −0.0676348 0.0154372i
\(704\) 28.2702i 1.06547i
\(705\) −0.100384 0.226848i −0.00378068 0.00854359i
\(706\) 17.5936 + 4.01563i 0.662145 + 0.151130i
\(707\) −1.09982 + 12.3226i −0.0413629 + 0.463438i
\(708\) 5.56492 4.15210i 0.209143 0.156045i
\(709\) 2.37107 + 10.3883i 0.0890475 + 0.390143i 0.999737 0.0229498i \(-0.00730578\pi\)
−0.910689 + 0.413092i \(0.864449\pi\)
\(710\) −0.400054 0.501651i −0.0150137 0.0188266i
\(711\) −11.0579 0.712788i −0.414702 0.0267316i
\(712\) −6.67959 + 1.52457i −0.250328 + 0.0571358i
\(713\) −2.59885 11.3863i −0.0973277 0.426420i
\(714\) −18.8263 + 29.3716i −0.704557 + 1.09920i
\(715\) 0.580481 2.54325i 0.0217087 0.0951122i
\(716\) 0.330607i 0.0123553i
\(717\) 25.6491 11.3502i 0.957883 0.423879i
\(718\) −2.09230 + 9.16698i −0.0780841 + 0.342109i
\(719\) −0.857003 + 0.412711i −0.0319608 + 0.0153915i −0.449796 0.893131i \(-0.648503\pi\)
0.417835 + 0.908523i \(0.362789\pi\)
\(720\) −2.37278 0.152949i −0.0884284 0.00570009i
\(721\) −1.46803 0.131025i −0.0546721 0.00487961i
\(722\) 22.1991 + 17.7032i 0.826166 + 0.658845i
\(723\) 3.34335 + 17.1791i 0.124340 + 0.638899i
\(724\) 4.72269 + 3.76622i 0.175517 + 0.139970i
\(725\) −15.0957 31.3466i −0.560641 1.16418i
\(726\) −15.9705 8.33442i −0.592722 0.309319i
\(727\) −4.62758 + 9.60927i −0.171627 + 0.356388i −0.968985 0.247119i \(-0.920516\pi\)
0.797358 + 0.603507i \(0.206230\pi\)
\(728\) 17.3316 + 16.5461i 0.642352 + 0.613238i
\(729\) −26.4981 5.18169i −0.981412 0.191914i
\(730\) −1.72726 0.831802i −0.0639286 0.0307864i
\(731\) 6.49961 + 28.4766i 0.240397 + 1.05325i
\(732\) 0.983930 + 0.0316791i 0.0363671 + 0.00117089i
\(733\) −23.7150 18.9121i −0.875933 0.698533i 0.0785146 0.996913i \(-0.474982\pi\)
−0.954447 + 0.298380i \(0.903554\pi\)
\(734\) −28.0961 −1.03705
\(735\) −0.509262 2.09390i −0.0187844 0.0772345i
\(736\) −2.41876 −0.0891566
\(737\) −37.8474 30.1823i −1.39413 1.11178i
\(738\) 3.16982 + 7.83530i 0.116683 + 0.288422i
\(739\) 5.67478 + 24.8628i 0.208750 + 0.914594i 0.965400 + 0.260773i \(0.0839776\pi\)
−0.756650 + 0.653820i \(0.773165\pi\)
\(740\) 0.214446 + 0.103272i 0.00788319 + 0.00379634i
\(741\) 1.66239 + 1.41558i 0.0610693 + 0.0520026i
\(742\) 3.39711 38.0619i 0.124712 1.39730i
\(743\) 5.39981 11.2128i 0.198100 0.411359i −0.778128 0.628106i \(-0.783830\pi\)
0.976228 + 0.216747i \(0.0695448\pi\)
\(744\) −15.0319 + 28.8043i −0.551095 + 1.05602i
\(745\) 1.26510 + 2.62701i 0.0463497 + 0.0962461i
\(746\) 24.7221 + 19.7152i 0.905139 + 0.721824i
\(747\) −28.9111 41.4689i −1.05780 1.51727i
\(748\) −4.42990 3.53273i −0.161973 0.129169i
\(749\) 41.9560 + 25.0253i 1.53304 + 0.914403i
\(750\) 4.09412 + 2.13657i 0.149496 + 0.0780164i
\(751\) −18.5207 + 8.91912i −0.675831 + 0.325463i −0.740126 0.672468i \(-0.765234\pi\)
0.0642952 + 0.997931i \(0.479520\pi\)
\(752\) −0.799585 + 3.50321i −0.0291579 + 0.127749i
\(753\) 2.28925 + 5.17325i 0.0834250 + 0.188524i
\(754\) 36.5461i 1.33093i
\(755\) 0.125770 0.551036i 0.00457725 0.0200542i
\(756\) 1.70462 + 3.21419i 0.0619964 + 0.116899i
\(757\) 8.73564 + 38.2733i 0.317502 + 1.39107i 0.841918 + 0.539606i \(0.181427\pi\)
−0.524416 + 0.851462i \(0.675716\pi\)
\(758\) 9.41819 2.14964i 0.342084 0.0780785i
\(759\) −5.51417 + 10.5663i −0.200152 + 0.383533i
\(760\) −0.105195 0.131911i −0.00381583 0.00478490i
\(761\) 7.19302 + 31.5147i 0.260747 + 1.14241i 0.920444 + 0.390875i \(0.127827\pi\)
−0.659697 + 0.751532i \(0.729315\pi\)
\(762\) −3.07161 4.11678i −0.111273 0.149135i
\(763\) 26.3580 + 8.54257i 0.954223 + 0.309262i
\(764\) −4.89361 1.11693i −0.177045 0.0404093i
\(765\) −1.81401 + 1.99640i −0.0655858 + 0.0721800i
\(766\) 39.5463i 1.42887i
\(767\) −51.2142 11.6893i −1.84924 0.422077i
\(768\) 8.23555 + 7.01285i 0.297175 + 0.253054i
\(769\) −12.1143 + 9.66084i −0.436853 + 0.348379i −0.817090 0.576511i \(-0.804414\pi\)
0.380237 + 0.924889i \(0.375843\pi\)
\(770\) 2.96754 0.404226i 0.106943 0.0145673i
\(771\) −16.6664 4.37274i −0.600227 0.157480i
\(772\) −0.813995 + 3.56634i −0.0292963 + 0.128356i
\(773\) 23.8648 29.9255i 0.858358 1.07635i −0.137945 0.990440i \(-0.544050\pi\)
0.996303 0.0859069i \(-0.0273788\pi\)
\(774\) 24.9871 + 7.42301i 0.898141 + 0.266814i
\(775\) 27.9023 22.2513i 1.00228 0.799291i
\(776\) 1.29529 + 0.623777i 0.0464981 + 0.0223923i
\(777\) 2.38881 + 23.0657i 0.0856980 + 0.827476i
\(778\) −9.20331 + 4.43208i −0.329955 + 0.158898i
\(779\) −0.295274 + 0.613142i −0.0105793 + 0.0219681i
\(780\) −0.168958 0.226450i −0.00604968 0.00810820i
\(781\) 9.14717 + 4.40505i 0.327312 + 0.157625i
\(782\) −7.71769 + 9.67768i −0.275984 + 0.346073i
\(783\) 11.4791 34.5288i 0.410230 1.23396i
\(784\) −12.2255 + 28.7210i −0.436625 + 1.02575i
\(785\) 2.99530i 0.106907i
\(786\) 7.11436 27.1159i 0.253761 0.967194i
\(787\) 3.49333 7.25397i 0.124524 0.258576i −0.829382 0.558681i \(-0.811308\pi\)
0.953906 + 0.300105i \(0.0970218\pi\)
\(788\) −3.66719 + 0.837013i −0.130638 + 0.0298173i
\(789\) −0.535434 0.0172391i −0.0190619 0.000613729i
\(790\) 0.428646 + 0.890092i 0.0152505 + 0.0316681i
\(791\) −12.2092 7.28234i −0.434109 0.258930i
\(792\) 30.7369 12.4348i 1.09219 0.441851i
\(793\) −4.64383 5.82318i −0.164907 0.206787i
\(794\) 30.0333 14.4633i 1.06584 0.513283i
\(795\) 0.749818 2.85789i 0.0265933 0.101359i
\(796\) −2.70704 0.617864i −0.0959484 0.0218996i
\(797\) 13.8540 17.3723i 0.490732 0.615359i −0.473379 0.880859i \(-0.656966\pi\)
0.964111 + 0.265500i \(0.0855371\pi\)
\(798\) −0.849195 + 2.35853i −0.0300612 + 0.0834912i
\(799\) 2.54167 + 3.18715i 0.0899177 + 0.112753i
\(800\) −3.20688 6.65915i −0.113380 0.235436i
\(801\) 4.50127 + 6.45644i 0.159044 + 0.228127i
\(802\) 36.6659 1.29472
\(803\) 30.3344 1.07048
\(804\) −5.14643 + 1.00158i −0.181501 + 0.0353231i
\(805\) −0.103196 0.757588i −0.00363718 0.0267015i
\(806\) −36.5476 + 8.34176i −1.28734 + 0.293826i
\(807\) −33.7066 + 25.1491i −1.18653 + 0.885291i
\(808\) 9.54723 7.61366i 0.335870 0.267848i
\(809\) −32.1624 + 25.6487i −1.13077 + 0.901759i −0.996021 0.0891209i \(-0.971594\pi\)
−0.134749 + 0.990880i \(0.543023\pi\)
\(810\) 0.757365 + 2.28499i 0.0266111 + 0.0802862i
\(811\) −40.6757 + 9.28397i −1.42832 + 0.326004i −0.865638 0.500670i \(-0.833087\pi\)
−0.562680 + 0.826674i \(0.690230\pi\)
\(812\) −4.58918 + 1.72624i −0.161049 + 0.0605792i
\(813\) −6.61797 34.0051i −0.232102 1.19261i
\(814\) −32.2282 −1.12960
\(815\) 1.10523 0.0387144
\(816\) 38.3537 7.46427i 1.34265 0.261302i
\(817\) 0.910614 + 1.89091i 0.0318584 + 0.0661546i
\(818\) 11.9788 + 15.0209i 0.418828 + 0.525194i
\(819\) 10.1535 25.5852i 0.354791 0.894021i
\(820\) 0.0549052 0.0688489i 0.00191737 0.00240431i
\(821\) 5.69853 + 1.30065i 0.198880 + 0.0453931i 0.320800 0.947147i \(-0.396048\pi\)
−0.121920 + 0.992540i \(0.538905\pi\)
\(822\) −11.5559 3.03190i −0.403059 0.105750i
\(823\) 17.7011 8.52440i 0.617021 0.297142i −0.0991433 0.995073i \(-0.531610\pi\)
0.716165 + 0.697931i \(0.245896\pi\)
\(824\) 0.907038 + 1.13739i 0.0315982 + 0.0396229i
\(825\) −36.4013 1.17200i −1.26733 0.0408036i
\(826\) −8.14003 59.7582i −0.283228 2.07925i
\(827\) −4.62489 9.60368i −0.160823 0.333953i 0.804949 0.593344i \(-0.202192\pi\)
−0.965772 + 0.259391i \(0.916478\pi\)
\(828\) 0.484113 + 1.19665i 0.0168241 + 0.0415865i
\(829\) −32.6498 + 7.45211i −1.13397 + 0.258822i −0.748008 0.663690i \(-0.768989\pi\)
−0.385967 + 0.922513i \(0.626132\pi\)
\(830\) −1.95554 + 4.06073i −0.0678779 + 0.140950i
\(831\) 44.2580 + 11.6119i 1.53529 + 0.402812i
\(832\) 23.1655i 0.803121i
\(833\) 16.8272 + 31.1590i 0.583027 + 1.07960i
\(834\) 9.93962 + 22.4616i 0.344181 + 0.777780i
\(835\) 1.29901 1.62891i 0.0449542 0.0563707i
\(836\) −0.366805 0.176644i −0.0126862 0.00610936i
\(837\) 37.1504 + 3.59829i 1.28411 + 0.124375i
\(838\) 21.1280 43.8727i 0.729855 1.51556i
\(839\) 15.9536 7.68287i 0.550781 0.265242i −0.137728 0.990470i \(-0.543980\pi\)
0.688509 + 0.725228i \(0.258266\pi\)
\(840\) −1.14782 + 1.79075i −0.0396034 + 0.0617867i
\(841\) 18.0530 + 8.69385i 0.622516 + 0.299788i
\(842\) −15.0535 + 12.0048i −0.518778 + 0.413711i
\(843\) 31.0021 36.4073i 1.06777 1.25394i
\(844\) −4.44849 + 5.57823i −0.153123 + 0.192011i
\(845\) 0.0384844 0.168611i 0.00132390 0.00580040i
\(846\) 3.59144 0.579690i 0.123476 0.0199301i
\(847\) −15.2532 + 10.0848i −0.524106 + 0.346519i
\(848\) −33.4610 + 26.6843i −1.14906 + 0.916342i
\(849\) −28.2808 + 33.2116i −0.970594 + 1.13982i
\(850\) −36.8763 8.41677i −1.26485 0.288693i
\(851\) 8.22762i 0.282039i
\(852\) 1.00554 0.444969i 0.0344493 0.0152444i
\(853\) −11.7104 2.67282i −0.400956 0.0915156i 0.0172873 0.999851i \(-0.494497\pi\)
−0.418244 + 0.908335i \(0.637354\pi\)
\(854\) 4.38036 7.34387i 0.149893 0.251302i
\(855\) −0.0951543 + 0.168855i −0.00325421 + 0.00577471i
\(856\) −10.7300 47.0110i −0.366742 1.60680i
\(857\) −23.3554 29.2868i −0.797807 1.00042i −0.999779 0.0210267i \(-0.993306\pi\)
0.201972 0.979391i \(-0.435265\pi\)
\(858\) 33.9156 + 17.6993i 1.15786 + 0.604244i
\(859\) −33.0900 + 7.55257i −1.12902 + 0.257690i −0.745931 0.666023i \(-0.767995\pi\)
−0.383084 + 0.923713i \(0.625138\pi\)
\(860\) −0.0604317 0.264769i −0.00206070 0.00902853i
\(861\) 8.51650 + 1.03730i 0.290241 + 0.0353511i
\(862\) 4.52012 19.8039i 0.153956 0.674525i
\(863\) 8.59074i 0.292432i 0.989253 + 0.146216i \(0.0467095\pi\)
−0.989253 + 0.146216i \(0.953291\pi\)
\(864\) 2.43858 7.33516i 0.0829621 0.249547i
\(865\) 0.264558 1.15910i 0.00899524 0.0394107i
\(866\) 4.64864 2.23867i 0.157967 0.0760730i
\(867\) 6.88558 13.1942i 0.233847 0.448100i
\(868\) −2.77381 4.19536i −0.0941492 0.142400i
\(869\) −12.2216 9.74637i −0.414588 0.330623i
\(870\) −3.18439 + 0.619736i −0.107961 + 0.0210110i
\(871\) 31.0134 + 24.7324i 1.05085 + 0.838025i
\(872\) −11.8663 24.6406i −0.401843 0.834435i
\(873\) 0.106237 1.64812i 0.00359559 0.0557803i
\(874\) −0.385902 + 0.801333i −0.0130533 + 0.0271055i
\(875\) 3.91022 2.58529i 0.132190 0.0873988i
\(876\) 2.13003 2.50140i 0.0719669 0.0845144i
\(877\) −19.7356 9.50416i −0.666423 0.320933i 0.0699082 0.997553i \(-0.477729\pi\)
−0.736332 + 0.676621i \(0.763444\pi\)
\(878\) −3.56723 15.6291i −0.120388 0.527455i
\(879\) 0.285943 8.88116i 0.00964460 0.299554i
\(880\) −2.62249 2.09137i −0.0884042 0.0705000i
\(881\) −2.80369 −0.0944588 −0.0472294 0.998884i \(-0.515039\pi\)
−0.0472294 + 0.998884i \(0.515039\pi\)
\(882\) 31.5972 + 0.568948i 1.06393 + 0.0191575i
\(883\) 20.0675 0.675326 0.337663 0.941267i \(-0.390364\pi\)
0.337663 + 0.941267i \(0.390364\pi\)
\(884\) 3.63001 + 2.89483i 0.122090 + 0.0973638i
\(885\) 0.150059 4.66071i 0.00504417 0.156668i
\(886\) −13.4162 58.7802i −0.450726 1.97476i
\(887\) −43.0660 20.7395i −1.44601 0.696363i −0.464116 0.885775i \(-0.653628\pi\)
−0.981898 + 0.189411i \(0.939342\pi\)
\(888\) 14.8394 17.4267i 0.497977 0.584800i
\(889\) −5.16601 + 0.703694i −0.173262 + 0.0236012i
\(890\) 0.304465 0.632228i 0.0102057 0.0211923i
\(891\) −26.4842 27.3752i −0.887254 0.917105i
\(892\) −2.30199 4.78014i −0.0770764 0.160051i
\(893\) 0.229006 + 0.182626i 0.00766340 + 0.00611136i
\(894\) −41.9724 + 8.16853i −1.40377 + 0.273197i
\(895\) −0.173596 0.138439i −0.00580269 0.00462749i
\(896\) 32.2607 12.1350i 1.07776 0.405403i
\(897\) 4.51849 8.65840i 0.150868 0.289096i
\(898\) 2.02818 0.976719i 0.0676812 0.0325935i
\(899\) −11.1929 + 49.0394i −0.373305 + 1.63555i
\(900\) −2.65268 + 2.91939i −0.0884226 + 0.0973129i
\(901\) 48.5537i 1.61756i
\(902\) −2.65328 + 11.6248i −0.0883446 + 0.387063i
\(903\) 18.8768 18.5399i 0.628180 0.616971i
\(904\) 3.12241 + 13.6802i 0.103850 + 0.454996i
\(905\) 3.95517 0.902742i 0.131474 0.0300081i
\(906\) 7.34836 + 3.83484i 0.244133 + 0.127404i
\(907\) 0.683679 + 0.857307i 0.0227012 + 0.0284664i 0.793053 0.609153i \(-0.208491\pi\)
−0.770351 + 0.637620i \(0.779919\pi\)
\(908\) 0.701525 + 3.07358i 0.0232809 + 0.102000i
\(909\) −12.2211 6.88694i −0.405349 0.228425i
\(910\) −2.43170 + 0.331237i −0.0806100 + 0.0109804i
\(911\) 55.1754 + 12.5934i 1.82804 + 0.417238i 0.991439 0.130572i \(-0.0416814\pi\)
0.836602 + 0.547811i \(0.184539\pi\)
\(912\) 2.56739 1.13611i 0.0850147 0.0376204i
\(913\) 71.3152i 2.36019i
\(914\) −27.3142 6.23429i −0.903474 0.206212i
\(915\) 0.428646 0.503381i 0.0141706 0.0166413i
\(916\) −0.385931 + 0.307769i −0.0127515 + 0.0101690i
\(917\) −20.5822 19.6494i −0.679685 0.648879i
\(918\) −21.5677 33.1618i −0.711841 1.09450i
\(919\) 0.466970 2.04593i 0.0154039 0.0674890i −0.966642 0.256132i \(-0.917552\pi\)
0.982046 + 0.188643i \(0.0604089\pi\)
\(920\) −0.470538 + 0.590036i −0.0155132 + 0.0194529i
\(921\) 34.2621 40.2358i 1.12898 1.32581i
\(922\) −41.4903 + 33.0874i −1.36641 + 1.08968i
\(923\) −7.49550 3.60964i −0.246718 0.118813i
\(924\) −0.620552 + 5.09489i −0.0204147 + 0.167610i
\(925\) −22.6517 + 10.9085i −0.744782 + 0.358668i
\(926\) 22.6097 46.9496i 0.743002 1.54286i
\(927\) 0.820461 1.45594i 0.0269475 0.0478193i
\(928\) 9.38565 + 4.51989i 0.308099 + 0.148373i
\(929\) 3.76158 4.71687i 0.123413 0.154755i −0.716286 0.697806i \(-0.754160\pi\)
0.839700 + 0.543051i \(0.182731\pi\)
\(930\) −1.34661 3.04307i −0.0441571 0.0997862i
\(931\) 1.67696 + 1.91369i 0.0549603 + 0.0627187i
\(932\) 6.37854i 0.208936i
\(933\) 5.02624 + 1.31873i 0.164552 + 0.0431731i
\(934\) 10.8913 22.6160i 0.356375 0.740019i
\(935\) −3.70996 + 0.846774i −0.121329 + 0.0276925i
\(936\) −25.1868 + 10.1895i −0.823257 + 0.333054i
\(937\) −13.3706 27.7644i −0.436800 0.907024i −0.996906 0.0786033i \(-0.974954\pi\)
0.560106 0.828421i \(-0.310760\pi\)
\(938\) −14.0409 + 43.3230i −0.458452 + 1.41455i
\(939\) −5.74746 0.185048i −0.187561 0.00603882i
\(940\) −0.0236318 0.0296333i −0.000770783 0.000966532i
\(941\) −2.05944 + 0.991772i −0.0671357 + 0.0323309i −0.467150 0.884178i \(-0.654719\pi\)
0.400015 + 0.916509i \(0.369005\pi\)
\(942\) 42.4883 + 11.1476i 1.38434 + 0.363208i
\(943\) 2.96772 + 0.677362i 0.0966422 + 0.0220579i
\(944\) −42.1145 + 52.8099i −1.37071 + 1.71882i
\(945\) 2.40151 + 0.450843i 0.0781213 + 0.0146659i
\(946\) 22.9272 + 28.7498i 0.745429 + 0.934738i
\(947\) −3.95600 8.21471i −0.128553 0.266942i 0.826751 0.562567i \(-0.190186\pi\)
−0.955304 + 0.295625i \(0.904472\pi\)
\(948\) −1.66187 + 0.323428i −0.0539751 + 0.0105045i
\(949\) −24.8570 −0.806893
\(950\) −2.71781 −0.0881775
\(951\) 0.430564 + 2.21237i 0.0139620 + 0.0717410i
\(952\) 10.7766 33.2511i 0.349272 1.07767i
\(953\) 34.5959 7.89629i 1.12067 0.255786i 0.378240 0.925708i \(-0.376529\pi\)
0.742432 + 0.669922i \(0.233672\pi\)
\(954\) 37.7485 + 21.2723i 1.22215 + 0.688717i
\(955\) −2.63564 + 2.10185i −0.0852873 + 0.0680144i
\(956\) 3.35056 2.67198i 0.108365 0.0864180i
\(957\) 41.1420 30.6969i 1.32993 0.992289i
\(958\) −23.2022 + 5.29575i −0.749630 + 0.171098i
\(959\) −8.37390 + 8.77146i −0.270407 + 0.283245i
\(960\) 2.01850 0.392834i 0.0651468 0.0126787i
\(961\) −20.5963 −0.664396
\(962\) 26.4089 0.851457
\(963\) −45.4404 + 31.6799i −1.46430 + 1.02087i
\(964\) 1.16024 + 2.40925i 0.0373687 + 0.0775968i
\(965\) 1.53178 + 1.92079i 0.0493097 + 0.0618325i
\(966\) 11.1305 + 1.35568i 0.358116 + 0.0436182i
\(967\) 9.52898 11.9490i 0.306431 0.384253i −0.604642 0.796498i \(-0.706684\pi\)
0.911073 + 0.412245i \(0.135255\pi\)
\(968\) 17.5963 + 4.01624i 0.565567 + 0.129087i
\(969\) 0.808306 3.08081i 0.0259665 0.0989698i
\(970\) −0.132664 + 0.0638875i −0.00425958 + 0.00205130i
\(971\) −23.2373 29.1387i −0.745722 0.935106i 0.253761 0.967267i \(-0.418332\pi\)
−0.999483 + 0.0321612i \(0.989761\pi\)
\(972\) −4.11706 + 0.261671i −0.132055 + 0.00839310i
\(973\) 24.8335 + 2.21645i 0.796127 + 0.0710562i
\(974\) 1.22963 + 2.55336i 0.0394000 + 0.0818150i
\(975\) 29.8285 + 0.960373i 0.955275 + 0.0307565i
\(976\) −9.33691 + 2.13109i −0.298867 + 0.0682145i
\(977\) −3.31735 + 6.88855i −0.106131 + 0.220384i −0.947271 0.320434i \(-0.896171\pi\)
0.841139 + 0.540819i \(0.181885\pi\)
\(978\) −4.11331 + 15.6776i −0.131529 + 0.501315i
\(979\) 11.1033i 0.354863i
\(980\) −0.156455 0.289709i −0.00499776 0.00925440i
\(981\) −21.1281 + 23.2524i −0.674567 + 0.742390i
\(982\) −10.9360 + 13.7133i −0.348981 + 0.437609i
\(983\) 9.23455 + 4.44713i 0.294537 + 0.141841i 0.575317 0.817931i \(-0.304879\pi\)
−0.280780 + 0.959772i \(0.590593\pi\)
\(984\) −5.06413 6.78729i −0.161439 0.216371i
\(985\) −1.09610 + 2.27608i −0.0349247 + 0.0725219i
\(986\) 48.0319 23.1310i 1.52965 0.736640i
\(987\) 1.25094 3.47434i 0.0398179 0.110589i
\(988\) 0.300572 + 0.144748i 0.00956248 + 0.00460505i
\(989\) 7.33961 5.85314i 0.233386 0.186119i
\(990\) −0.967075 + 3.25533i −0.0307357 + 0.103461i
\(991\) −30.0699 + 37.7064i −0.955201 + 1.19778i 0.0249815 + 0.999688i \(0.492047\pi\)
−0.980183 + 0.198096i \(0.936524\pi\)
\(992\) −2.37778 + 10.4177i −0.0754946 + 0.330763i
\(993\) −10.6562 2.79584i −0.338164 0.0887234i
\(994\) 0.849100 9.51348i 0.0269318 0.301749i
\(995\) −1.45798 + 1.16270i −0.0462210 + 0.0368600i
\(996\) −5.88072 5.00763i −0.186338 0.158673i
\(997\) −12.6030 2.87655i −0.399140 0.0911011i 0.0182388 0.999834i \(-0.494194\pi\)
−0.417379 + 0.908733i \(0.637051\pi\)
\(998\) 24.6383i 0.779911i
\(999\) −24.9512 8.29503i −0.789420 0.262443i
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 147.2.k.a.104.13 yes 96
3.2 odd 2 inner 147.2.k.a.104.4 yes 96
49.41 odd 14 inner 147.2.k.a.41.4 96
147.41 even 14 inner 147.2.k.a.41.13 yes 96
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
147.2.k.a.41.4 96 49.41 odd 14 inner
147.2.k.a.41.13 yes 96 147.41 even 14 inner
147.2.k.a.104.4 yes 96 3.2 odd 2 inner
147.2.k.a.104.13 yes 96 1.1 even 1 trivial