Properties

Label 570.2.u.i.301.2
Level $570$
Weight $2$
Character 570.301
Analytic conductor $4.551$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [570,2,Mod(61,570)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(570, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([0, 0, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("570.61");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.u (of order \(9\), 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: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} + \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{12} + 24x^{10} + 216x^{8} + 905x^{6} + 1770x^{4} + 1395x^{2} + 361 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 301.2
Root \(-1.89323i\) of defining polynomial
Character \(\chi\) \(=\) 570.301
Dual form 570.2.u.i.481.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.766044 + 0.642788i) q^{2} +(-0.939693 + 0.342020i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.173648 - 0.984808i) q^{5} +(-0.939693 - 0.342020i) q^{6} +(0.716948 + 1.24179i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})\) \(q+(0.766044 + 0.642788i) q^{2} +(-0.939693 + 0.342020i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.173648 - 0.984808i) q^{5} +(-0.939693 - 0.342020i) q^{6} +(0.716948 + 1.24179i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +(0.766044 - 0.642788i) q^{10} +(-2.65664 + 4.60144i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(-1.63039 - 0.593414i) q^{13} +(-0.248993 + 1.41211i) q^{14} +(0.173648 + 0.984808i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(4.18564 + 3.51217i) q^{17} +1.00000 q^{18} +(2.91475 + 3.24102i) q^{19} +1.00000 q^{20} +(-1.09843 - 0.921690i) q^{21} +(-4.99285 + 1.81725i) q^{22} +(0.615435 + 3.49031i) q^{23} +(0.173648 - 0.984808i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(-0.867513 - 1.50258i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(-1.09843 + 0.921690i) q^{28} +(-0.832383 + 0.698452i) q^{29} +(-0.500000 + 0.866025i) q^{30} +(-3.02107 - 5.23264i) q^{31} +(-0.939693 - 0.342020i) q^{32} +(0.922641 - 5.23256i) q^{33} +(0.948809 + 5.38096i) q^{34} +(1.34742 - 0.490421i) q^{35} +(0.766044 + 0.642788i) q^{36} -0.140332 q^{37} +(0.149538 + 4.35633i) q^{38} +1.73503 q^{39} +(0.766044 + 0.642788i) q^{40} +(-2.35136 + 0.855824i) q^{41} +(-0.248993 - 1.41211i) q^{42} +(-1.98575 + 11.2617i) q^{43} +(-4.99285 - 1.81725i) q^{44} +(-0.500000 - 0.866025i) q^{45} +(-1.77208 + 3.06933i) q^{46} +(-1.38732 + 1.16410i) q^{47} +(0.766044 - 0.642788i) q^{48} +(2.47197 - 4.28158i) q^{49} +(-0.500000 - 0.866025i) q^{50} +(-5.13445 - 1.86879i) q^{51} +(0.301284 - 1.70867i) q^{52} +(0.911102 + 5.16712i) q^{53} +(-0.939693 + 0.342020i) q^{54} +(4.07021 + 3.41531i) q^{55} -1.43390 q^{56} +(-3.84746 - 2.04866i) q^{57} -1.08660 q^{58} +(0.0353643 + 0.0296741i) q^{59} +(-0.939693 + 0.342020i) q^{60} +(-2.54926 - 14.4576i) q^{61} +(1.04921 - 5.95034i) q^{62} +(1.34742 + 0.490421i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-0.867513 + 1.50258i) q^{65} +(4.07021 - 3.41531i) q^{66} +(8.25989 - 6.93087i) q^{67} +(-2.73199 + 4.73194i) q^{68} +(-1.77208 - 3.06933i) q^{69} +(1.34742 + 0.490421i) q^{70} +(1.32319 - 7.50416i) q^{71} +(0.173648 + 0.984808i) q^{72} +(6.93870 - 2.52548i) q^{73} +(-0.107500 - 0.0902034i) q^{74} +1.00000 q^{75} +(-2.68564 + 3.43327i) q^{76} -7.61869 q^{77} +(1.32911 + 1.11525i) q^{78} +(12.3878 - 4.50878i) q^{79} +(0.173648 + 0.984808i) q^{80} +(0.173648 - 0.984808i) q^{81} +(-2.35136 - 0.855824i) q^{82} +(0.740068 + 1.28184i) q^{83} +(0.716948 - 1.24179i) q^{84} +(4.18564 - 3.51217i) q^{85} +(-8.76008 + 7.35058i) q^{86} +(0.543299 - 0.941022i) q^{87} +(-2.65664 - 4.60144i) q^{88} +(0.953041 + 0.346879i) q^{89} +(0.173648 - 0.984808i) q^{90} +(-0.432010 - 2.45005i) q^{91} +(-3.33041 + 1.21217i) q^{92} +(4.62855 + 3.88381i) q^{93} -1.81102 q^{94} +(3.69793 - 2.30767i) q^{95} +1.00000 q^{96} +(4.26700 + 3.58044i) q^{97} +(4.64579 - 1.69093i) q^{98} +(0.922641 + 5.23256i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 3 q^{7} - 6 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 3 q^{7} - 6 q^{8} - 9 q^{11} - 6 q^{12} - 3 q^{13} + 3 q^{14} + 9 q^{17} + 12 q^{18} - 3 q^{19} + 12 q^{20} + 3 q^{21} - 6 q^{22} + 12 q^{23} - 9 q^{26} - 6 q^{27} + 3 q^{28} - 3 q^{29} - 6 q^{30} - 12 q^{31} + 3 q^{33} - 9 q^{34} - 6 q^{35} + 42 q^{37} + 18 q^{39} + 21 q^{41} + 3 q^{42} + 9 q^{43} - 6 q^{44} - 6 q^{45} - 3 q^{46} + 3 q^{49} - 6 q^{50} - 3 q^{52} - 18 q^{53} + 3 q^{55} + 6 q^{56} + 6 q^{58} - 15 q^{59} + 9 q^{61} + 12 q^{62} - 6 q^{63} - 6 q^{64} - 9 q^{65} + 3 q^{66} + 18 q^{67} - 6 q^{68} - 3 q^{69} - 6 q^{70} + 12 q^{71} - 9 q^{73} + 12 q^{75} + 9 q^{76} - 54 q^{77} + 6 q^{78} - 9 q^{79} + 21 q^{82} + 15 q^{83} - 3 q^{84} + 9 q^{85} - 27 q^{86} - 3 q^{87} - 9 q^{88} + 3 q^{89} - 51 q^{91} + 3 q^{92} - 15 q^{93} + 12 q^{96} - 48 q^{97} - 15 q^{98} + 3 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 + 0.642788i 0.541675 + 0.454519i
\(3\) −0.939693 + 0.342020i −0.542532 + 0.197465i
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) 0.173648 0.984808i 0.0776578 0.440419i
\(6\) −0.939693 0.342020i −0.383628 0.139629i
\(7\) 0.716948 + 1.24179i 0.270981 + 0.469352i 0.969113 0.246616i \(-0.0793187\pi\)
−0.698132 + 0.715969i \(0.745985\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 0.766044 0.642788i 0.255348 0.214263i
\(10\) 0.766044 0.642788i 0.242245 0.203267i
\(11\) −2.65664 + 4.60144i −0.801007 + 1.38739i 0.117947 + 0.993020i \(0.462369\pi\)
−0.918954 + 0.394365i \(0.870965\pi\)
\(12\) −0.500000 0.866025i −0.144338 0.250000i
\(13\) −1.63039 0.593414i −0.452189 0.164583i 0.105878 0.994379i \(-0.466235\pi\)
−0.558067 + 0.829796i \(0.688457\pi\)
\(14\) −0.248993 + 1.41211i −0.0665463 + 0.377403i
\(15\) 0.173648 + 0.984808i 0.0448358 + 0.254276i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) 4.18564 + 3.51217i 1.01517 + 0.851827i 0.989013 0.147831i \(-0.0472291\pi\)
0.0261552 + 0.999658i \(0.491674\pi\)
\(18\) 1.00000 0.235702
\(19\) 2.91475 + 3.24102i 0.668689 + 0.743542i
\(20\) 1.00000 0.223607
\(21\) −1.09843 0.921690i −0.239697 0.201129i
\(22\) −4.99285 + 1.81725i −1.06448 + 0.387439i
\(23\) 0.615435 + 3.49031i 0.128327 + 0.727779i 0.979276 + 0.202531i \(0.0649166\pi\)
−0.850949 + 0.525249i \(0.823972\pi\)
\(24\) 0.173648 0.984808i 0.0354458 0.201023i
\(25\) −0.939693 0.342020i −0.187939 0.0684040i
\(26\) −0.867513 1.50258i −0.170133 0.294680i
\(27\) −0.500000 + 0.866025i −0.0962250 + 0.166667i
\(28\) −1.09843 + 0.921690i −0.207583 + 0.174183i
\(29\) −0.832383 + 0.698452i −0.154570 + 0.129699i −0.716793 0.697286i \(-0.754391\pi\)
0.562223 + 0.826986i \(0.309946\pi\)
\(30\) −0.500000 + 0.866025i −0.0912871 + 0.158114i
\(31\) −3.02107 5.23264i −0.542600 0.939811i −0.998754 0.0499098i \(-0.984107\pi\)
0.456154 0.889901i \(-0.349227\pi\)
\(32\) −0.939693 0.342020i −0.166116 0.0604612i
\(33\) 0.922641 5.23256i 0.160611 0.910872i
\(34\) 0.948809 + 5.38096i 0.162719 + 0.922827i
\(35\) 1.34742 0.490421i 0.227756 0.0828963i
\(36\) 0.766044 + 0.642788i 0.127674 + 0.107131i
\(37\) −0.140332 −0.0230704 −0.0115352 0.999933i \(-0.503672\pi\)
−0.0115352 + 0.999933i \(0.503672\pi\)
\(38\) 0.149538 + 4.35633i 0.0242582 + 0.706691i
\(39\) 1.73503 0.277827
\(40\) 0.766044 + 0.642788i 0.121122 + 0.101634i
\(41\) −2.35136 + 0.855824i −0.367220 + 0.133657i −0.519038 0.854751i \(-0.673710\pi\)
0.151817 + 0.988409i \(0.451487\pi\)
\(42\) −0.248993 1.41211i −0.0384205 0.217893i
\(43\) −1.98575 + 11.2617i −0.302824 + 1.71740i 0.330752 + 0.943718i \(0.392698\pi\)
−0.633575 + 0.773681i \(0.718413\pi\)
\(44\) −4.99285 1.81725i −0.752701 0.273961i
\(45\) −0.500000 0.866025i −0.0745356 0.129099i
\(46\) −1.77208 + 3.06933i −0.261278 + 0.452547i
\(47\) −1.38732 + 1.16410i −0.202361 + 0.169801i −0.738337 0.674432i \(-0.764388\pi\)
0.535975 + 0.844234i \(0.319944\pi\)
\(48\) 0.766044 0.642788i 0.110569 0.0927784i
\(49\) 2.47197 4.28158i 0.353139 0.611654i
\(50\) −0.500000 0.866025i −0.0707107 0.122474i
\(51\) −5.13445 1.86879i −0.718967 0.261683i
\(52\) 0.301284 1.70867i 0.0417806 0.236950i
\(53\) 0.911102 + 5.16712i 0.125149 + 0.709758i 0.981219 + 0.192897i \(0.0617884\pi\)
−0.856069 + 0.516861i \(0.827100\pi\)
\(54\) −0.939693 + 0.342020i −0.127876 + 0.0465430i
\(55\) 4.07021 + 3.41531i 0.548827 + 0.460520i
\(56\) −1.43390 −0.191612
\(57\) −3.84746 2.04866i −0.509609 0.271352i
\(58\) −1.08660 −0.142677
\(59\) 0.0353643 + 0.0296741i 0.00460403 + 0.00386324i 0.645087 0.764109i \(-0.276821\pi\)
−0.640483 + 0.767973i \(0.721266\pi\)
\(60\) −0.939693 + 0.342020i −0.121314 + 0.0441546i
\(61\) −2.54926 14.4576i −0.326400 1.85111i −0.499649 0.866228i \(-0.666538\pi\)
0.173250 0.984878i \(-0.444573\pi\)
\(62\) 1.04921 5.95034i 0.133249 0.755694i
\(63\) 1.34742 + 0.490421i 0.169759 + 0.0617872i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −0.867513 + 1.50258i −0.107602 + 0.186372i
\(66\) 4.07021 3.41531i 0.501008 0.420396i
\(67\) 8.25989 6.93087i 1.00911 0.846740i 0.0208858 0.999782i \(-0.493351\pi\)
0.988220 + 0.153042i \(0.0489069\pi\)
\(68\) −2.73199 + 4.73194i −0.331302 + 0.573832i
\(69\) −1.77208 3.06933i −0.213333 0.369503i
\(70\) 1.34742 + 0.490421i 0.161048 + 0.0586165i
\(71\) 1.32319 7.50416i 0.157033 0.890580i −0.799870 0.600173i \(-0.795098\pi\)
0.956903 0.290407i \(-0.0937906\pi\)
\(72\) 0.173648 + 0.984808i 0.0204646 + 0.116061i
\(73\) 6.93870 2.52548i 0.812113 0.295585i 0.0976168 0.995224i \(-0.468878\pi\)
0.714496 + 0.699639i \(0.246656\pi\)
\(74\) −0.107500 0.0902034i −0.0124966 0.0104859i
\(75\) 1.00000 0.115470
\(76\) −2.68564 + 3.43327i −0.308065 + 0.393823i
\(77\) −7.61869 −0.868230
\(78\) 1.32911 + 1.11525i 0.150492 + 0.126278i
\(79\) 12.3878 4.50878i 1.39373 0.507278i 0.467422 0.884034i \(-0.345183\pi\)
0.926312 + 0.376756i \(0.122961\pi\)
\(80\) 0.173648 + 0.984808i 0.0194145 + 0.110105i
\(81\) 0.173648 0.984808i 0.0192942 0.109423i
\(82\) −2.35136 0.855824i −0.259664 0.0945100i
\(83\) 0.740068 + 1.28184i 0.0812330 + 0.140700i 0.903780 0.427998i \(-0.140781\pi\)
−0.822547 + 0.568697i \(0.807448\pi\)
\(84\) 0.716948 1.24179i 0.0782254 0.135490i
\(85\) 4.18564 3.51217i 0.453997 0.380949i
\(86\) −8.76008 + 7.35058i −0.944623 + 0.792633i
\(87\) 0.543299 0.941022i 0.0582478 0.100888i
\(88\) −2.65664 4.60144i −0.283199 0.490515i
\(89\) 0.953041 + 0.346879i 0.101022 + 0.0367691i 0.392037 0.919950i \(-0.371771\pi\)
−0.291015 + 0.956719i \(0.593993\pi\)
\(90\) 0.173648 0.984808i 0.0183041 0.103808i
\(91\) −0.432010 2.45005i −0.0452870 0.256835i
\(92\) −3.33041 + 1.21217i −0.347220 + 0.126378i
\(93\) 4.62855 + 3.88381i 0.479958 + 0.402732i
\(94\) −1.81102 −0.186792
\(95\) 3.69793 2.30767i 0.379399 0.236762i
\(96\) 1.00000 0.102062
\(97\) 4.26700 + 3.58044i 0.433248 + 0.363538i 0.833176 0.553008i \(-0.186520\pi\)
−0.399928 + 0.916547i \(0.630965\pi\)
\(98\) 4.64579 1.69093i 0.469295 0.170810i
\(99\) 0.922641 + 5.23256i 0.0927290 + 0.525892i
\(100\) 0.173648 0.984808i 0.0173648 0.0984808i
\(101\) −3.67791 1.33865i −0.365966 0.133201i 0.152490 0.988305i \(-0.451271\pi\)
−0.518456 + 0.855104i \(0.673493\pi\)
\(102\) −2.73199 4.73194i −0.270507 0.468532i
\(103\) 7.84408 13.5864i 0.772901 1.33870i −0.163066 0.986615i \(-0.552138\pi\)
0.935967 0.352088i \(-0.114528\pi\)
\(104\) 1.32911 1.11525i 0.130330 0.109360i
\(105\) −1.09843 + 0.921690i −0.107196 + 0.0899477i
\(106\) −2.62341 + 4.54389i −0.254808 + 0.441341i
\(107\) 6.12921 + 10.6161i 0.592533 + 1.02630i 0.993890 + 0.110375i \(0.0352053\pi\)
−0.401357 + 0.915922i \(0.631461\pi\)
\(108\) −0.939693 0.342020i −0.0904220 0.0329109i
\(109\) −0.120319 + 0.682362i −0.0115245 + 0.0653585i −0.990028 0.140873i \(-0.955009\pi\)
0.978503 + 0.206232i \(0.0661201\pi\)
\(110\) 0.922641 + 5.23256i 0.0879704 + 0.498905i
\(111\) 0.131869 0.0479962i 0.0125164 0.00455560i
\(112\) −1.09843 0.921690i −0.103792 0.0870915i
\(113\) 11.4811 1.08005 0.540024 0.841649i \(-0.318415\pi\)
0.540024 + 0.841649i \(0.318415\pi\)
\(114\) −1.63047 4.04247i −0.152708 0.378612i
\(115\) 3.54415 0.330494
\(116\) −0.832383 0.698452i −0.0772848 0.0648497i
\(117\) −1.63039 + 0.593414i −0.150730 + 0.0548612i
\(118\) 0.00801643 + 0.0454634i 0.000737972 + 0.00418525i
\(119\) −1.36049 + 7.71573i −0.124716 + 0.707300i
\(120\) −0.939693 0.342020i −0.0857818 0.0312220i
\(121\) −8.61547 14.9224i −0.783225 1.35659i
\(122\) 7.34031 12.7138i 0.664561 1.15105i
\(123\) 1.91684 1.60842i 0.172836 0.145027i
\(124\) 4.62855 3.88381i 0.415656 0.348777i
\(125\) −0.500000 + 0.866025i −0.0447214 + 0.0774597i
\(126\) 0.716948 + 1.24179i 0.0638708 + 0.110627i
\(127\) −16.4202 5.97646i −1.45706 0.530325i −0.512504 0.858685i \(-0.671282\pi\)
−0.944553 + 0.328360i \(0.893504\pi\)
\(128\) 0.173648 0.984808i 0.0153485 0.0870455i
\(129\) −1.98575 11.2617i −0.174835 0.991541i
\(130\) −1.63039 + 0.593414i −0.142995 + 0.0520459i
\(131\) 2.95506 + 2.47959i 0.258185 + 0.216643i 0.762687 0.646768i \(-0.223880\pi\)
−0.504502 + 0.863410i \(0.668324\pi\)
\(132\) 5.31328 0.462462
\(133\) −1.93495 + 5.94315i −0.167781 + 0.515336i
\(134\) 10.7825 0.931467
\(135\) 0.766044 + 0.642788i 0.0659306 + 0.0553223i
\(136\) −5.13445 + 1.86879i −0.440276 + 0.160247i
\(137\) −2.63525 14.9452i −0.225144 1.27686i −0.862409 0.506212i \(-0.831045\pi\)
0.637265 0.770645i \(-0.280066\pi\)
\(138\) 0.615435 3.49031i 0.0523893 0.297115i
\(139\) 12.1385 + 4.41805i 1.02957 + 0.374734i 0.800918 0.598774i \(-0.204345\pi\)
0.228655 + 0.973508i \(0.426567\pi\)
\(140\) 0.716948 + 1.24179i 0.0605931 + 0.104950i
\(141\) 0.905509 1.56839i 0.0762576 0.132082i
\(142\) 5.83720 4.89799i 0.489847 0.411030i
\(143\) 7.06192 5.92566i 0.590548 0.495528i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) 0.543299 + 0.941022i 0.0451186 + 0.0781476i
\(146\) 6.93870 + 2.52548i 0.574251 + 0.209010i
\(147\) −0.858507 + 4.86883i −0.0708085 + 0.401575i
\(148\) −0.0243683 0.138200i −0.00200306 0.0113599i
\(149\) −16.9809 + 6.18055i −1.39113 + 0.506330i −0.925533 0.378666i \(-0.876383\pi\)
−0.465598 + 0.884996i \(0.654161\pi\)
\(150\) 0.766044 + 0.642788i 0.0625473 + 0.0524834i
\(151\) −4.64002 −0.377600 −0.188800 0.982016i \(-0.560460\pi\)
−0.188800 + 0.982016i \(0.560460\pi\)
\(152\) −4.26418 + 0.903735i −0.345871 + 0.0733026i
\(153\) 5.46397 0.441736
\(154\) −5.83625 4.89720i −0.470299 0.394627i
\(155\) −5.67775 + 2.06653i −0.456048 + 0.165988i
\(156\) 0.301284 + 1.70867i 0.0241220 + 0.136803i
\(157\) −2.77479 + 15.7366i −0.221452 + 1.25592i 0.647900 + 0.761726i \(0.275648\pi\)
−0.869352 + 0.494193i \(0.835464\pi\)
\(158\) 12.3878 + 4.50878i 0.985519 + 0.358700i
\(159\) −2.62341 4.54389i −0.208050 0.360354i
\(160\) −0.500000 + 0.866025i −0.0395285 + 0.0684653i
\(161\) −3.89299 + 3.26661i −0.306811 + 0.257445i
\(162\) 0.766044 0.642788i 0.0601861 0.0505022i
\(163\) −1.48313 + 2.56886i −0.116168 + 0.201209i −0.918246 0.396011i \(-0.870394\pi\)
0.802078 + 0.597219i \(0.203728\pi\)
\(164\) −1.25113 2.16702i −0.0976969 0.169216i
\(165\) −4.99285 1.81725i −0.388693 0.141473i
\(166\) −0.257023 + 1.45765i −0.0199488 + 0.113136i
\(167\) 4.12042 + 23.3681i 0.318848 + 1.80828i 0.549785 + 0.835306i \(0.314710\pi\)
−0.230937 + 0.972969i \(0.574179\pi\)
\(168\) 1.34742 0.490421i 0.103956 0.0378368i
\(169\) −7.65254 6.42124i −0.588657 0.493942i
\(170\) 5.46397 0.419067
\(171\) 4.31612 + 0.609203i 0.330062 + 0.0465869i
\(172\) −11.4355 −0.871946
\(173\) −6.33615 5.31666i −0.481729 0.404218i 0.369322 0.929301i \(-0.379590\pi\)
−0.851051 + 0.525083i \(0.824034\pi\)
\(174\) 1.02107 0.371639i 0.0774070 0.0281739i
\(175\) −0.248993 1.41211i −0.0188221 0.106746i
\(176\) 0.922641 5.23256i 0.0695467 0.394419i
\(177\) −0.0433807 0.0157893i −0.00326069 0.00118679i
\(178\) 0.507103 + 0.878327i 0.0380089 + 0.0658334i
\(179\) 5.19316 8.99482i 0.388155 0.672304i −0.604046 0.796949i \(-0.706446\pi\)
0.992201 + 0.124645i \(0.0397792\pi\)
\(180\) 0.766044 0.642788i 0.0570976 0.0479106i
\(181\) 9.20718 7.72574i 0.684365 0.574250i −0.232913 0.972497i \(-0.574826\pi\)
0.917278 + 0.398247i \(0.130381\pi\)
\(182\) 1.24392 2.15454i 0.0922057 0.159705i
\(183\) 7.34031 + 12.7138i 0.542612 + 0.939831i
\(184\) −3.33041 1.21217i −0.245521 0.0893624i
\(185\) −0.0243683 + 0.138200i −0.00179159 + 0.0101606i
\(186\) 1.04921 + 5.95034i 0.0769315 + 0.436300i
\(187\) −27.2808 + 9.92940i −1.99497 + 0.726109i
\(188\) −1.38732 1.16410i −0.101181 0.0849007i
\(189\) −1.43390 −0.104301
\(190\) 4.31612 + 0.609203i 0.313124 + 0.0441963i
\(191\) −6.40106 −0.463164 −0.231582 0.972815i \(-0.574390\pi\)
−0.231582 + 0.972815i \(0.574390\pi\)
\(192\) 0.766044 + 0.642788i 0.0552845 + 0.0463892i
\(193\) 3.41202 1.24187i 0.245603 0.0893920i −0.216286 0.976330i \(-0.569394\pi\)
0.461888 + 0.886938i \(0.347172\pi\)
\(194\) 0.967250 + 5.48555i 0.0694445 + 0.393839i
\(195\) 0.301284 1.70867i 0.0215754 0.122360i
\(196\) 4.64579 + 1.69093i 0.331842 + 0.120781i
\(197\) −4.29259 7.43499i −0.305835 0.529721i 0.671612 0.740903i \(-0.265602\pi\)
−0.977447 + 0.211182i \(0.932269\pi\)
\(198\) −2.65664 + 4.60144i −0.188799 + 0.327010i
\(199\) 11.6505 9.77596i 0.825884 0.692999i −0.128458 0.991715i \(-0.541003\pi\)
0.954342 + 0.298716i \(0.0965583\pi\)
\(200\) 0.766044 0.642788i 0.0541675 0.0454519i
\(201\) −5.39126 + 9.33793i −0.380270 + 0.658647i
\(202\) −1.95698 3.38958i −0.137692 0.238490i
\(203\) −1.46411 0.532891i −0.102760 0.0374016i
\(204\) 0.948809 5.38096i 0.0664299 0.376743i
\(205\) 0.434513 + 2.46425i 0.0303477 + 0.172110i
\(206\) 14.7421 5.36567i 1.02713 0.373844i
\(207\) 2.71498 + 2.27814i 0.188704 + 0.158341i
\(208\) 1.73503 0.120302
\(209\) −22.6568 + 4.80180i −1.56720 + 0.332147i
\(210\) −1.43390 −0.0989482
\(211\) −16.5010 13.8460i −1.13598 0.953198i −0.136677 0.990616i \(-0.543642\pi\)
−0.999300 + 0.0374180i \(0.988087\pi\)
\(212\) −4.93041 + 1.79452i −0.338622 + 0.123248i
\(213\) 1.32319 + 7.50416i 0.0906632 + 0.514177i
\(214\) −2.12865 + 12.0722i −0.145512 + 0.825237i
\(215\) 10.7458 + 3.91116i 0.732859 + 0.266739i
\(216\) −0.500000 0.866025i −0.0340207 0.0589256i
\(217\) 4.33190 7.50306i 0.294068 0.509341i
\(218\) −0.530784 + 0.445380i −0.0359492 + 0.0301650i
\(219\) −5.65648 + 4.74635i −0.382229 + 0.320729i
\(220\) −2.65664 + 4.60144i −0.179111 + 0.310229i
\(221\) −4.74007 8.21004i −0.318851 0.552267i
\(222\) 0.131869 + 0.0479962i 0.00885044 + 0.00322130i
\(223\) −2.26021 + 12.8183i −0.151355 + 0.858377i 0.810688 + 0.585479i \(0.199093\pi\)
−0.962043 + 0.272898i \(0.912018\pi\)
\(224\) −0.248993 1.41211i −0.0166366 0.0943506i
\(225\) −0.939693 + 0.342020i −0.0626462 + 0.0228013i
\(226\) 8.79502 + 7.37989i 0.585036 + 0.490903i
\(227\) 23.2710 1.54455 0.772274 0.635290i \(-0.219119\pi\)
0.772274 + 0.635290i \(0.219119\pi\)
\(228\) 1.34943 4.14476i 0.0893685 0.274493i
\(229\) 19.7359 1.30419 0.652094 0.758138i \(-0.273891\pi\)
0.652094 + 0.758138i \(0.273891\pi\)
\(230\) 2.71498 + 2.27814i 0.179020 + 0.150216i
\(231\) 7.15922 2.60574i 0.471042 0.171445i
\(232\) −0.188686 1.07009i −0.0123878 0.0702549i
\(233\) −3.16200 + 17.9326i −0.207149 + 1.17480i 0.686872 + 0.726778i \(0.258983\pi\)
−0.894021 + 0.448024i \(0.852128\pi\)
\(234\) −1.63039 0.593414i −0.106582 0.0387927i
\(235\) 0.905509 + 1.56839i 0.0590689 + 0.102310i
\(236\) −0.0230824 + 0.0399799i −0.00150254 + 0.00260247i
\(237\) −10.0986 + 8.47374i −0.655975 + 0.550429i
\(238\) −6.00178 + 5.03609i −0.389037 + 0.326441i
\(239\) −9.80915 + 16.9899i −0.634501 + 1.09899i 0.352119 + 0.935955i \(0.385461\pi\)
−0.986621 + 0.163033i \(0.947872\pi\)
\(240\) −0.500000 0.866025i −0.0322749 0.0559017i
\(241\) 0.386400 + 0.140638i 0.0248902 + 0.00905929i 0.354435 0.935081i \(-0.384673\pi\)
−0.329545 + 0.944140i \(0.606895\pi\)
\(242\) 2.99212 16.9692i 0.192341 1.09082i
\(243\) 0.173648 + 0.984808i 0.0111395 + 0.0631754i
\(244\) 13.7953 5.02107i 0.883152 0.321441i
\(245\) −3.78728 3.17791i −0.241961 0.203029i
\(246\) 2.50226 0.159538
\(247\) −2.82891 7.01379i −0.180000 0.446277i
\(248\) 6.04214 0.383676
\(249\) −1.13385 0.951413i −0.0718548 0.0602934i
\(250\) −0.939693 + 0.342020i −0.0594314 + 0.0216313i
\(251\) 2.43828 + 13.8282i 0.153903 + 0.872828i 0.959782 + 0.280747i \(0.0905823\pi\)
−0.805879 + 0.592081i \(0.798307\pi\)
\(252\) −0.248993 + 1.41211i −0.0156851 + 0.0889546i
\(253\) −17.6954 6.44061i −1.11250 0.404917i
\(254\) −8.73700 15.1329i −0.548208 0.949525i
\(255\) −2.73199 + 4.73194i −0.171084 + 0.296325i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) 24.0590 20.1879i 1.50076 1.25929i 0.621055 0.783767i \(-0.286704\pi\)
0.879705 0.475520i \(-0.157740\pi\)
\(258\) 5.71773 9.90340i 0.355971 0.616559i
\(259\) −0.100610 0.174262i −0.00625163 0.0108281i
\(260\) −1.63039 0.593414i −0.101113 0.0368020i
\(261\) −0.188686 + 1.07009i −0.0116794 + 0.0662370i
\(262\) 0.669858 + 3.79895i 0.0413839 + 0.234700i
\(263\) −5.30375 + 1.93041i −0.327043 + 0.119034i −0.500324 0.865839i \(-0.666786\pi\)
0.173280 + 0.984873i \(0.444563\pi\)
\(264\) 4.07021 + 3.41531i 0.250504 + 0.210198i
\(265\) 5.24683 0.322310
\(266\) −5.30244 + 3.30896i −0.325113 + 0.202885i
\(267\) −1.01421 −0.0620683
\(268\) 8.25989 + 6.93087i 0.504553 + 0.423370i
\(269\) −14.1023 + 5.13280i −0.859830 + 0.312952i −0.734041 0.679105i \(-0.762368\pi\)
−0.125788 + 0.992057i \(0.540146\pi\)
\(270\) 0.173648 + 0.984808i 0.0105679 + 0.0599335i
\(271\) −3.56699 + 20.2294i −0.216679 + 1.22885i 0.661290 + 0.750130i \(0.270009\pi\)
−0.877969 + 0.478717i \(0.841102\pi\)
\(272\) −5.13445 1.86879i −0.311322 0.113312i
\(273\) 1.24392 + 2.15454i 0.0752857 + 0.130399i
\(274\) 7.58789 13.1426i 0.458401 0.793974i
\(275\) 4.07021 3.41531i 0.245443 0.205951i
\(276\) 2.71498 2.27814i 0.163422 0.137128i
\(277\) 7.24076 12.5414i 0.435055 0.753537i −0.562245 0.826971i \(-0.690062\pi\)
0.997300 + 0.0734333i \(0.0233956\pi\)
\(278\) 6.45875 + 11.1869i 0.387370 + 0.670945i
\(279\) −5.67775 2.06653i −0.339918 0.123720i
\(280\) −0.248993 + 1.41211i −0.0148802 + 0.0843898i
\(281\) −1.75981 9.98037i −0.104981 0.595379i −0.991228 0.132165i \(-0.957807\pi\)
0.886246 0.463214i \(-0.153304\pi\)
\(282\) 1.70180 0.619405i 0.101341 0.0368850i
\(283\) −9.61798 8.07045i −0.571730 0.479738i 0.310490 0.950577i \(-0.399507\pi\)
−0.882219 + 0.470838i \(0.843951\pi\)
\(284\) 7.61992 0.452159
\(285\) −2.68564 + 3.43327i −0.159084 + 0.203369i
\(286\) 9.21868 0.545112
\(287\) −2.74855 2.30631i −0.162242 0.136137i
\(288\) −0.939693 + 0.342020i −0.0553719 + 0.0201537i
\(289\) 2.23224 + 12.6597i 0.131308 + 0.744687i
\(290\) −0.188686 + 1.07009i −0.0110800 + 0.0628379i
\(291\) −5.23425 1.90511i −0.306837 0.111680i
\(292\) 3.69200 + 6.39474i 0.216058 + 0.374224i
\(293\) 4.87184 8.43827i 0.284616 0.492969i −0.687900 0.725805i \(-0.741467\pi\)
0.972516 + 0.232836i \(0.0748006\pi\)
\(294\) −3.78728 + 3.17791i −0.220879 + 0.185339i
\(295\) 0.0353643 0.0296741i 0.00205899 0.00172770i
\(296\) 0.0701658 0.121531i 0.00407830 0.00706383i
\(297\) −2.65664 4.60144i −0.154154 0.267002i
\(298\) −16.9809 6.18055i −0.983678 0.358030i
\(299\) 1.06780 6.05578i 0.0617523 0.350215i
\(300\) 0.173648 + 0.984808i 0.0100256 + 0.0568579i
\(301\) −15.4084 + 5.60819i −0.888125 + 0.323251i
\(302\) −3.55446 2.98255i −0.204536 0.171626i
\(303\) 3.91396 0.224851
\(304\) −3.84746 2.04866i −0.220667 0.117499i
\(305\) −14.6806 −0.840610
\(306\) 4.18564 + 3.51217i 0.239277 + 0.200778i
\(307\) −26.8352 + 9.76722i −1.53157 + 0.557445i −0.964005 0.265886i \(-0.914336\pi\)
−0.567562 + 0.823331i \(0.692113\pi\)
\(308\) −1.32297 7.50294i −0.0753833 0.427520i
\(309\) −2.72422 + 15.4498i −0.154976 + 0.878910i
\(310\) −5.67775 2.06653i −0.322475 0.117371i
\(311\) −12.1936 21.1200i −0.691438 1.19760i −0.971367 0.237584i \(-0.923644\pi\)
0.279929 0.960021i \(-0.409689\pi\)
\(312\) −0.867513 + 1.50258i −0.0491133 + 0.0850667i
\(313\) 0.621302 0.521335i 0.0351181 0.0294676i −0.625060 0.780577i \(-0.714925\pi\)
0.660178 + 0.751109i \(0.270481\pi\)
\(314\) −12.2409 + 10.2713i −0.690795 + 0.579646i
\(315\) 0.716948 1.24179i 0.0403954 0.0699669i
\(316\) 6.59140 + 11.4166i 0.370795 + 0.642236i
\(317\) −6.12473 2.22922i −0.343999 0.125205i 0.164242 0.986420i \(-0.447482\pi\)
−0.508242 + 0.861215i \(0.669704\pi\)
\(318\) 0.911102 5.16712i 0.0510921 0.289758i
\(319\) −1.00254 5.68569i −0.0561315 0.318338i
\(320\) −0.939693 + 0.342020i −0.0525304 + 0.0191195i
\(321\) −9.39049 7.87956i −0.524126 0.439794i
\(322\) −5.08194 −0.283206
\(323\) 0.817070 + 23.8029i 0.0454630 + 1.32443i
\(324\) 1.00000 0.0555556
\(325\) 1.32911 + 1.11525i 0.0737256 + 0.0618631i
\(326\) −2.78738 + 1.01452i −0.154378 + 0.0561892i
\(327\) −0.120319 0.682362i −0.00665365 0.0377347i
\(328\) 0.434513 2.46425i 0.0239920 0.136065i
\(329\) −2.44020 0.888161i −0.134533 0.0489659i
\(330\) −2.65664 4.60144i −0.146243 0.253301i
\(331\) 3.61301 6.25792i 0.198589 0.343966i −0.749482 0.662025i \(-0.769697\pi\)
0.948071 + 0.318058i \(0.103031\pi\)
\(332\) −1.13385 + 0.951413i −0.0622281 + 0.0522156i
\(333\) −0.107500 + 0.0902034i −0.00589098 + 0.00494312i
\(334\) −11.8643 + 20.5495i −0.649184 + 1.12442i
\(335\) −5.39126 9.33793i −0.294556 0.510186i
\(336\) 1.34742 + 0.490421i 0.0735078 + 0.0267547i
\(337\) −3.53848 + 20.0677i −0.192753 + 1.09316i 0.722829 + 0.691027i \(0.242841\pi\)
−0.915582 + 0.402131i \(0.868270\pi\)
\(338\) −1.73469 9.83792i −0.0943547 0.535112i
\(339\) −10.7887 + 3.92676i −0.585961 + 0.213272i
\(340\) 4.18564 + 3.51217i 0.226998 + 0.190474i
\(341\) 32.1036 1.73851
\(342\) 2.91475 + 3.24102i 0.157612 + 0.175254i
\(343\) 17.1264 0.924737
\(344\) −8.76008 7.35058i −0.472312 0.396317i
\(345\) −3.33041 + 1.21217i −0.179303 + 0.0652611i
\(346\) −1.43629 8.14560i −0.0772154 0.437910i
\(347\) −1.53985 + 8.73293i −0.0826636 + 0.468808i 0.915173 + 0.403062i \(0.132054\pi\)
−0.997836 + 0.0657466i \(0.979057\pi\)
\(348\) 1.02107 + 0.371639i 0.0547350 + 0.0199219i
\(349\) 16.6468 + 28.8330i 0.891081 + 1.54340i 0.838581 + 0.544776i \(0.183385\pi\)
0.0524993 + 0.998621i \(0.483281\pi\)
\(350\) 0.716948 1.24179i 0.0383225 0.0663765i
\(351\) 1.32911 1.11525i 0.0709425 0.0595278i
\(352\) 4.07021 3.41531i 0.216943 0.182037i
\(353\) 6.78495 11.7519i 0.361127 0.625490i −0.627020 0.779003i \(-0.715726\pi\)
0.988147 + 0.153514i \(0.0490589\pi\)
\(354\) −0.0230824 0.0399799i −0.00122681 0.00212491i
\(355\) −7.16039 2.60617i −0.380034 0.138321i
\(356\) −0.176115 + 0.998797i −0.00933407 + 0.0529361i
\(357\) −1.36049 7.71573i −0.0720049 0.408360i
\(358\) 9.75995 3.55233i 0.515829 0.187746i
\(359\) −13.4845 11.3148i −0.711684 0.597174i 0.213387 0.976968i \(-0.431551\pi\)
−0.925071 + 0.379794i \(0.875995\pi\)
\(360\) 1.00000 0.0527046
\(361\) −2.00847 + 18.8935i −0.105709 + 0.994397i
\(362\) 12.0191 0.631711
\(363\) 13.1997 + 11.0758i 0.692803 + 0.581331i
\(364\) 2.33781 0.850894i 0.122535 0.0445989i
\(365\) −1.28222 7.27183i −0.0671144 0.380625i
\(366\) −2.54926 + 14.4576i −0.133252 + 0.755711i
\(367\) 33.1459 + 12.0641i 1.73020 + 0.629743i 0.998645 0.0520364i \(-0.0165712\pi\)
0.731558 + 0.681779i \(0.238793\pi\)
\(368\) −1.77208 3.06933i −0.0923758 0.160000i
\(369\) −1.25113 + 2.16702i −0.0651313 + 0.112811i
\(370\) −0.107500 + 0.0902034i −0.00558867 + 0.00468945i
\(371\) −5.76326 + 4.83595i −0.299214 + 0.251070i
\(372\) −3.02107 + 5.23264i −0.156635 + 0.271300i
\(373\) −8.29673 14.3704i −0.429588 0.744069i 0.567248 0.823547i \(-0.308008\pi\)
−0.996837 + 0.0794780i \(0.974675\pi\)
\(374\) −27.2808 9.92940i −1.41066 0.513437i
\(375\) 0.173648 0.984808i 0.00896715 0.0508553i
\(376\) −0.314480 1.78350i −0.0162181 0.0919772i
\(377\) 1.77158 0.644803i 0.0912411 0.0332091i
\(378\) −1.09843 0.921690i −0.0564970 0.0474066i
\(379\) −8.19765 −0.421085 −0.210542 0.977585i \(-0.567523\pi\)
−0.210542 + 0.977585i \(0.567523\pi\)
\(380\) 2.91475 + 3.24102i 0.149523 + 0.166261i
\(381\) 17.4740 0.895221
\(382\) −4.90350 4.11452i −0.250885 0.210517i
\(383\) 18.0815 6.58113i 0.923922 0.336280i 0.164124 0.986440i \(-0.447520\pi\)
0.759798 + 0.650160i \(0.225298\pi\)
\(384\) 0.173648 + 0.984808i 0.00886145 + 0.0502558i
\(385\) −1.32297 + 7.50294i −0.0674249 + 0.382385i
\(386\) 3.41202 + 1.24187i 0.173667 + 0.0632097i
\(387\) 5.71773 + 9.90340i 0.290649 + 0.503418i
\(388\) −2.78509 + 4.82391i −0.141391 + 0.244897i
\(389\) −7.06314 + 5.92667i −0.358115 + 0.300494i −0.804039 0.594577i \(-0.797320\pi\)
0.445924 + 0.895071i \(0.352875\pi\)
\(390\) 1.32911 1.11525i 0.0673020 0.0564731i
\(391\) −9.68257 + 16.7707i −0.489669 + 0.848131i
\(392\) 2.47197 + 4.28158i 0.124853 + 0.216253i
\(393\) −3.62492 1.31936i −0.182853 0.0665530i
\(394\) 1.49080 8.45476i 0.0751055 0.425944i
\(395\) −2.28917 12.9825i −0.115181 0.653222i
\(396\) −4.99285 + 1.81725i −0.250900 + 0.0913202i
\(397\) 17.5721 + 14.7447i 0.881918 + 0.740017i 0.966572 0.256394i \(-0.0825343\pi\)
−0.0846549 + 0.996410i \(0.526979\pi\)
\(398\) 15.2087 0.762343
\(399\) −0.214421 6.24653i −0.0107345 0.312717i
\(400\) 1.00000 0.0500000
\(401\) 19.1669 + 16.0829i 0.957150 + 0.803144i 0.980487 0.196584i \(-0.0629847\pi\)
−0.0233374 + 0.999728i \(0.507429\pi\)
\(402\) −10.1322 + 3.68784i −0.505351 + 0.183933i
\(403\) 1.82040 + 10.3240i 0.0906806 + 0.514275i
\(404\) 0.679651 3.85449i 0.0338139 0.191768i
\(405\) −0.939693 0.342020i −0.0466937 0.0169951i
\(406\) −0.779035 1.34933i −0.0386628 0.0669660i
\(407\) 0.372811 0.645727i 0.0184795 0.0320075i
\(408\) 4.18564 3.51217i 0.207220 0.173878i
\(409\) −27.0621 + 22.7078i −1.33814 + 1.12283i −0.356034 + 0.934473i \(0.615871\pi\)
−0.982101 + 0.188356i \(0.939684\pi\)
\(410\) −1.25113 + 2.16702i −0.0617890 + 0.107022i
\(411\) 7.58789 + 13.1426i 0.374283 + 0.648277i
\(412\) 14.7421 + 5.36567i 0.726289 + 0.264348i
\(413\) −0.0114947 + 0.0651898i −0.000565618 + 0.00320778i
\(414\) 0.615435 + 3.49031i 0.0302470 + 0.171539i
\(415\) 1.39087 0.506236i 0.0682753 0.0248502i
\(416\) 1.32911 + 1.11525i 0.0651649 + 0.0546798i
\(417\) −12.9175 −0.632573
\(418\) −20.4427 10.8851i −0.999883 0.532409i
\(419\) 21.5220 1.05142 0.525708 0.850665i \(-0.323800\pi\)
0.525708 + 0.850665i \(0.323800\pi\)
\(420\) −1.09843 0.921690i −0.0535978 0.0449739i
\(421\) 7.23331 2.63271i 0.352530 0.128310i −0.159684 0.987168i \(-0.551048\pi\)
0.512214 + 0.858858i \(0.328825\pi\)
\(422\) −3.74048 21.2133i −0.182084 1.03265i
\(423\) −0.314480 + 1.78350i −0.0152905 + 0.0867170i
\(424\) −4.93041 1.79452i −0.239442 0.0871496i
\(425\) −2.73199 4.73194i −0.132521 0.229533i
\(426\) −3.80996 + 6.59905i −0.184593 + 0.319725i
\(427\) 16.1256 13.5310i 0.780373 0.654811i
\(428\) −9.39049 + 7.87956i −0.453906 + 0.380873i
\(429\) −4.60934 + 7.98361i −0.222541 + 0.385453i
\(430\) 5.71773 + 9.90340i 0.275734 + 0.477585i
\(431\) 2.13677 + 0.777722i 0.102925 + 0.0374615i 0.392969 0.919552i \(-0.371448\pi\)
−0.290045 + 0.957013i \(0.593670\pi\)
\(432\) 0.173648 0.984808i 0.00835465 0.0473816i
\(433\) 1.01926 + 5.78053i 0.0489827 + 0.277794i 0.999455 0.0330151i \(-0.0105110\pi\)
−0.950472 + 0.310810i \(0.899400\pi\)
\(434\) 8.14130 2.96319i 0.390795 0.142238i
\(435\) −0.832383 0.698452i −0.0399097 0.0334882i
\(436\) −0.692889 −0.0331834
\(437\) −9.51833 + 12.1680i −0.455323 + 0.582075i
\(438\) −7.38401 −0.352822
\(439\) 24.6986 + 20.7246i 1.17880 + 0.989131i 0.999986 + 0.00524811i \(0.00167053\pi\)
0.178814 + 0.983883i \(0.442774\pi\)
\(440\) −4.99285 + 1.81725i −0.238025 + 0.0866339i
\(441\) −0.858507 4.86883i −0.0408813 0.231849i
\(442\) 1.64621 9.33611i 0.0783021 0.444074i
\(443\) −4.08232 1.48584i −0.193957 0.0705946i 0.243215 0.969972i \(-0.421798\pi\)
−0.437172 + 0.899378i \(0.644020\pi\)
\(444\) 0.0701658 + 0.121531i 0.00332992 + 0.00576759i
\(445\) 0.507103 0.878327i 0.0240390 0.0416367i
\(446\) −9.97087 + 8.36655i −0.472134 + 0.396168i
\(447\) 13.8430 11.6156i 0.654750 0.549401i
\(448\) 0.716948 1.24179i 0.0338726 0.0586691i
\(449\) −7.18796 12.4499i −0.339221 0.587548i 0.645065 0.764127i \(-0.276830\pi\)
−0.984286 + 0.176579i \(0.943497\pi\)
\(450\) −0.939693 0.342020i −0.0442975 0.0161230i
\(451\) 2.30869 13.0932i 0.108712 0.616536i
\(452\) 1.99367 + 11.3067i 0.0937743 + 0.531820i
\(453\) 4.36019 1.58698i 0.204860 0.0745629i
\(454\) 17.8266 + 14.9583i 0.836643 + 0.702027i
\(455\) −2.48785 −0.116632
\(456\) 3.69793 2.30767i 0.173171 0.108067i
\(457\) 22.3068 1.04347 0.521734 0.853108i \(-0.325285\pi\)
0.521734 + 0.853108i \(0.325285\pi\)
\(458\) 15.1186 + 12.6860i 0.706446 + 0.592779i
\(459\) −5.13445 + 1.86879i −0.239656 + 0.0872276i
\(460\) 0.615435 + 3.49031i 0.0286948 + 0.162736i
\(461\) 1.42393 8.07553i 0.0663192 0.376115i −0.933526 0.358510i \(-0.883285\pi\)
0.999845 0.0176048i \(-0.00560408\pi\)
\(462\) 7.15922 + 2.60574i 0.333077 + 0.121230i
\(463\) −13.5841 23.5284i −0.631307 1.09346i −0.987285 0.158962i \(-0.949185\pi\)
0.355978 0.934494i \(-0.384148\pi\)
\(464\) 0.543299 0.941022i 0.0252220 0.0436859i
\(465\) 4.62855 3.88381i 0.214644 0.180107i
\(466\) −13.9491 + 11.7047i −0.646178 + 0.542208i
\(467\) −19.4982 + 33.7718i −0.902267 + 1.56277i −0.0777228 + 0.996975i \(0.524765\pi\)
−0.824544 + 0.565797i \(0.808568\pi\)
\(468\) −0.867513 1.50258i −0.0401008 0.0694567i
\(469\) 14.5286 + 5.28797i 0.670868 + 0.244176i
\(470\) −0.314480 + 1.78350i −0.0145059 + 0.0822669i
\(471\) −2.77479 15.7366i −0.127856 0.725105i
\(472\) −0.0433807 + 0.0157893i −0.00199676 + 0.000726760i
\(473\) −46.5447 39.0557i −2.14013 1.79578i
\(474\) −13.1828 −0.605506
\(475\) −1.63047 4.04247i −0.0748112 0.185481i
\(476\) −7.83476 −0.359106
\(477\) 4.01930 + 3.37260i 0.184031 + 0.154421i
\(478\) −18.4352 + 6.70985i −0.843205 + 0.306902i
\(479\) −5.90600 33.4946i −0.269852 1.53041i −0.754853 0.655894i \(-0.772292\pi\)
0.485001 0.874513i \(-0.338819\pi\)
\(480\) 0.173648 0.984808i 0.00792592 0.0449501i
\(481\) 0.228795 + 0.0832747i 0.0104322 + 0.00379700i
\(482\) 0.205599 + 0.356108i 0.00936477 + 0.0162203i
\(483\) 2.54097 4.40109i 0.115618 0.200257i
\(484\) 13.1997 11.0758i 0.599985 0.503447i
\(485\) 4.26700 3.58044i 0.193754 0.162579i
\(486\) −0.500000 + 0.866025i −0.0226805 + 0.0392837i
\(487\) −15.6290 27.0702i −0.708216 1.22667i −0.965518 0.260335i \(-0.916167\pi\)
0.257303 0.966331i \(-0.417166\pi\)
\(488\) 13.7953 + 5.02107i 0.624483 + 0.227293i
\(489\) 0.515086 2.92120i 0.0232930 0.132101i
\(490\) −0.858507 4.86883i −0.0387834 0.219952i
\(491\) 27.0907 9.86022i 1.22259 0.444986i 0.351535 0.936175i \(-0.385660\pi\)
0.871053 + 0.491189i \(0.163438\pi\)
\(492\) 1.91684 + 1.60842i 0.0864180 + 0.0725133i
\(493\) −5.93714 −0.267396
\(494\) 2.34130 7.19127i 0.105340 0.323550i
\(495\) 5.31328 0.238814
\(496\) 4.62855 + 3.88381i 0.207828 + 0.174388i
\(497\) 10.2672 3.73697i 0.460549 0.167626i
\(498\) −0.257023 1.45765i −0.0115175 0.0653188i
\(499\) 0.724834 4.11074i 0.0324480 0.184022i −0.964276 0.264900i \(-0.914661\pi\)
0.996724 + 0.0808776i \(0.0257723\pi\)
\(500\) −0.939693 0.342020i −0.0420243 0.0152956i
\(501\) −11.8643 20.5495i −0.530057 0.918085i
\(502\) −7.02076 + 12.1603i −0.313352 + 0.542741i
\(503\) 0.418200 0.350911i 0.0186466 0.0156464i −0.633417 0.773811i \(-0.718348\pi\)
0.652063 + 0.758165i \(0.273904\pi\)
\(504\) −1.09843 + 0.921690i −0.0489278 + 0.0410553i
\(505\) −1.95698 + 3.38958i −0.0870844 + 0.150835i
\(506\) −9.41554 16.3082i −0.418572 0.724987i
\(507\) 9.38723 + 3.41667i 0.416902 + 0.151740i
\(508\) 3.03433 17.2085i 0.134627 0.763505i
\(509\) −1.29218 7.32833i −0.0572750 0.324822i 0.942686 0.333682i \(-0.108291\pi\)
−0.999961 + 0.00885930i \(0.997180\pi\)
\(510\) −5.13445 + 1.86879i −0.227357 + 0.0827513i
\(511\) 8.11080 + 6.80577i 0.358801 + 0.301069i
\(512\) 1.00000 0.0441942
\(513\) −4.26418 + 0.903735i −0.188268 + 0.0399009i
\(514\) 31.4068 1.38529
\(515\) −12.0178 10.0842i −0.529569 0.444361i
\(516\) 10.7458 3.91116i 0.473059 0.172179i
\(517\) −1.67092 9.47626i −0.0734870 0.416765i
\(518\) 0.0349416 0.198164i 0.00153525 0.00870682i
\(519\) 7.77244 + 2.82894i 0.341172 + 0.124177i
\(520\) −0.867513 1.50258i −0.0380430 0.0658924i
\(521\) 17.7985 30.8278i 0.779765 1.35059i −0.152312 0.988332i \(-0.548672\pi\)
0.932077 0.362260i \(-0.117995\pi\)
\(522\) −0.832383 + 0.698452i −0.0364324 + 0.0305704i
\(523\) −21.6909 + 18.2009i −0.948478 + 0.795868i −0.979041 0.203665i \(-0.934715\pi\)
0.0305623 + 0.999533i \(0.490270\pi\)
\(524\) −1.92878 + 3.34074i −0.0842591 + 0.145941i
\(525\) 0.716948 + 1.24179i 0.0312902 + 0.0541961i
\(526\) −5.30375 1.93041i −0.231255 0.0841698i
\(527\) 5.73283 32.5125i 0.249726 1.41627i
\(528\) 0.922641 + 5.23256i 0.0401528 + 0.227718i
\(529\) 9.80944 3.57035i 0.426498 0.155232i
\(530\) 4.01930 + 3.37260i 0.174587 + 0.146496i
\(531\) 0.0461648 0.00200338
\(532\) −6.18886 0.873534i −0.268321 0.0378725i
\(533\) 4.34149 0.188051
\(534\) −0.776926 0.651918i −0.0336209 0.0282113i
\(535\) 11.5191 4.19262i 0.498016 0.181263i
\(536\) 1.87236 + 10.6187i 0.0808738 + 0.458658i
\(537\) −1.80357 + 10.2285i −0.0778296 + 0.441394i
\(538\) −14.1023 5.13280i −0.607991 0.221291i
\(539\) 13.1343 + 22.7492i 0.565734 + 0.979879i
\(540\) −0.500000 + 0.866025i −0.0215166 + 0.0372678i
\(541\) 22.2243 18.6484i 0.955496 0.801756i −0.0247188 0.999694i \(-0.507869\pi\)
0.980214 + 0.197938i \(0.0634246\pi\)
\(542\) −15.7357 + 13.2038i −0.675905 + 0.567152i
\(543\) −6.00956 + 10.4089i −0.257895 + 0.446687i
\(544\) −2.73199 4.73194i −0.117133 0.202880i
\(545\) 0.651103 + 0.236982i 0.0278902 + 0.0101512i
\(546\) −0.432010 + 2.45005i −0.0184883 + 0.104852i
\(547\) 2.71780 + 15.4134i 0.116205 + 0.659031i 0.986147 + 0.165876i \(0.0530452\pi\)
−0.869942 + 0.493155i \(0.835844\pi\)
\(548\) 14.2606 5.19042i 0.609182 0.221724i
\(549\) −11.2460 9.43653i −0.479968 0.402741i
\(550\) 5.31328 0.226559
\(551\) −4.68989 0.661960i −0.199796 0.0282004i
\(552\) 3.54415 0.150849
\(553\) 14.4804 + 12.1505i 0.615767 + 0.516690i
\(554\) 13.6082 4.95297i 0.578156 0.210432i
\(555\) −0.0243683 0.138200i −0.00103438 0.00586625i
\(556\) −2.24310 + 12.7213i −0.0951287 + 0.539502i
\(557\) 18.9290 + 6.88958i 0.802046 + 0.291921i 0.710334 0.703864i \(-0.248544\pi\)
0.0917122 + 0.995786i \(0.470766\pi\)
\(558\) −3.02107 5.23264i −0.127892 0.221516i
\(559\) 9.92042 17.1827i 0.419589 0.726750i
\(560\) −1.09843 + 0.921690i −0.0464170 + 0.0389485i
\(561\) 22.2395 18.6612i 0.938953 0.787875i
\(562\) 5.06717 8.77659i 0.213746 0.370218i
\(563\) −23.3484 40.4406i −0.984017 1.70437i −0.646224 0.763148i \(-0.723653\pi\)
−0.337793 0.941220i \(-0.609680\pi\)
\(564\) 1.70180 + 0.619405i 0.0716587 + 0.0260816i
\(565\) 1.99367 11.3067i 0.0838742 0.475675i
\(566\) −2.18022 12.3646i −0.0916415 0.519725i
\(567\) 1.34742 0.490421i 0.0565864 0.0205957i
\(568\) 5.83720 + 4.89799i 0.244923 + 0.205515i
\(569\) 39.7476 1.66630 0.833152 0.553043i \(-0.186534\pi\)
0.833152 + 0.553043i \(0.186534\pi\)
\(570\) −4.26418 + 0.903735i −0.178607 + 0.0378533i
\(571\) −42.8539 −1.79338 −0.896689 0.442661i \(-0.854035\pi\)
−0.896689 + 0.442661i \(0.854035\pi\)
\(572\) 7.06192 + 5.92566i 0.295274 + 0.247764i
\(573\) 6.01503 2.18929i 0.251281 0.0914589i
\(574\) −0.623047 3.53347i −0.0260055 0.147484i
\(575\) 0.615435 3.49031i 0.0256654 0.145556i
\(576\) −0.939693 0.342020i −0.0391539 0.0142508i
\(577\) −1.48303 2.56868i −0.0617394 0.106936i 0.833504 0.552514i \(-0.186331\pi\)
−0.895243 + 0.445578i \(0.852998\pi\)
\(578\) −6.42749 + 11.1327i −0.267348 + 0.463061i
\(579\) −2.78150 + 2.33396i −0.115595 + 0.0969961i
\(580\) −0.832383 + 0.698452i −0.0345628 + 0.0290017i
\(581\) −1.06118 + 1.83802i −0.0440252 + 0.0762538i
\(582\) −2.78509 4.82391i −0.115445 0.199957i
\(583\) −26.1966 9.53479i −1.08495 0.394891i
\(584\) −1.28222 + 7.27183i −0.0530586 + 0.300910i
\(585\) 0.301284 + 1.70867i 0.0124566 + 0.0706447i
\(586\) 9.15606 3.33253i 0.378233 0.137666i
\(587\) −6.51221 5.46439i −0.268788 0.225540i 0.498424 0.866933i \(-0.333912\pi\)
−0.767212 + 0.641394i \(0.778357\pi\)
\(588\) −4.94394 −0.203885
\(589\) 8.15347 25.0432i 0.335958 1.03189i
\(590\) 0.0461648 0.00190057
\(591\) 6.57663 + 5.51845i 0.270527 + 0.226999i
\(592\) 0.131869 0.0479962i 0.00541976 0.00197263i
\(593\) −3.43193 19.4634i −0.140932 0.799267i −0.970544 0.240926i \(-0.922549\pi\)
0.829611 0.558341i \(-0.188562\pi\)
\(594\) 0.922641 5.23256i 0.0378564 0.214695i
\(595\) 7.36227 + 2.67965i 0.301824 + 0.109855i
\(596\) −9.03536 15.6497i −0.370103 0.641037i
\(597\) −7.60434 + 13.1711i −0.311225 + 0.539058i
\(598\) 4.71056 3.95263i 0.192629 0.161635i
\(599\) 5.39092 4.52352i 0.220267 0.184826i −0.525976 0.850499i \(-0.676300\pi\)
0.746243 + 0.665673i \(0.231856\pi\)
\(600\) −0.500000 + 0.866025i −0.0204124 + 0.0353553i
\(601\) 8.57641 + 14.8548i 0.349839 + 0.605939i 0.986221 0.165435i \(-0.0529029\pi\)
−0.636382 + 0.771374i \(0.719570\pi\)
\(602\) −15.4084 5.60819i −0.627999 0.228573i
\(603\) 1.87236 10.6187i 0.0762486 0.432427i
\(604\) −0.805731 4.56953i −0.0327847 0.185932i
\(605\) −16.1918 + 5.89333i −0.658290 + 0.239598i
\(606\) 2.99826 + 2.51584i 0.121796 + 0.102199i
\(607\) −9.90071 −0.401857 −0.200929 0.979606i \(-0.564396\pi\)
−0.200929 + 0.979606i \(0.564396\pi\)
\(608\) −1.63047 4.04247i −0.0661244 0.163944i
\(609\) 1.55807 0.0631361
\(610\) −11.2460 9.43653i −0.455338 0.382074i
\(611\) 2.95267 1.07468i 0.119452 0.0434771i
\(612\) 0.948809 + 5.38096i 0.0383533 + 0.217512i
\(613\) −2.47786 + 14.0527i −0.100080 + 0.567582i 0.892992 + 0.450073i \(0.148602\pi\)
−0.993072 + 0.117509i \(0.962509\pi\)
\(614\) −26.8352 9.76722i −1.08298 0.394173i
\(615\) −1.25113 2.16702i −0.0504505 0.0873828i
\(616\) 3.80934 6.59798i 0.153483 0.265840i
\(617\) 4.73341 3.97181i 0.190560 0.159899i −0.542516 0.840045i \(-0.682528\pi\)
0.733076 + 0.680146i \(0.238084\pi\)
\(618\) −12.0178 + 10.0842i −0.483428 + 0.405644i
\(619\) −5.92825 + 10.2680i −0.238276 + 0.412707i −0.960220 0.279245i \(-0.909916\pi\)
0.721943 + 0.691952i \(0.243249\pi\)
\(620\) −3.02107 5.23264i −0.121329 0.210148i
\(621\) −3.33041 1.21217i −0.133645 0.0486428i
\(622\) 4.23480 24.0168i 0.169800 0.962985i
\(623\) 0.252530 + 1.43217i 0.0101174 + 0.0573787i
\(624\) −1.63039 + 0.593414i −0.0652679 + 0.0237556i
\(625\) 0.766044 + 0.642788i 0.0306418 + 0.0257115i
\(626\) 0.811053 0.0324162
\(627\) 19.6481 12.2613i 0.784670 0.489669i
\(628\) −15.9794 −0.637647
\(629\) −0.587378 0.492869i −0.0234203 0.0196520i
\(630\) 1.34742 0.490421i 0.0536825 0.0195388i
\(631\) −3.03599 17.2180i −0.120861 0.685437i −0.983680 0.179925i \(-0.942415\pi\)
0.862819 0.505512i \(-0.168696\pi\)
\(632\) −2.28917 + 12.9825i −0.0910583 + 0.516417i
\(633\) 20.2415 + 7.36730i 0.804527 + 0.292824i
\(634\) −3.25890 5.64458i −0.129428 0.224175i
\(635\) −8.73700 + 15.1329i −0.346717 + 0.600532i
\(636\) 4.01930 3.37260i 0.159376 0.133732i
\(637\) −6.57103 + 5.51375i −0.260354 + 0.218463i
\(638\) 2.88670 4.99992i 0.114286 0.197949i
\(639\) −3.80996 6.59905i −0.150720 0.261054i
\(640\) −0.939693 0.342020i −0.0371446 0.0135195i
\(641\) −7.31471 + 41.4838i −0.288914 + 1.63851i 0.402047 + 0.915619i \(0.368299\pi\)
−0.690961 + 0.722892i \(0.742812\pi\)
\(642\) −2.12865 12.0722i −0.0840112 0.476451i
\(643\) −34.3778 + 12.5125i −1.35573 + 0.493445i −0.914731 0.404062i \(-0.867598\pi\)
−0.440999 + 0.897508i \(0.645376\pi\)
\(644\) −3.89299 3.26661i −0.153405 0.128722i
\(645\) −11.4355 −0.450271
\(646\) −14.6743 + 18.7593i −0.577352 + 0.738073i
\(647\) 19.7202 0.775281 0.387641 0.921811i \(-0.373290\pi\)
0.387641 + 0.921811i \(0.373290\pi\)
\(648\) 0.766044 + 0.642788i 0.0300931 + 0.0252511i
\(649\) −0.230494 + 0.0838929i −0.00904767 + 0.00329308i
\(650\) 0.301284 + 1.70867i 0.0118173 + 0.0670195i
\(651\) −1.50445 + 8.53217i −0.0589641 + 0.334402i
\(652\) −2.78738 1.01452i −0.109162 0.0397317i
\(653\) −4.58783 7.94635i −0.179536 0.310965i 0.762186 0.647358i \(-0.224126\pi\)
−0.941722 + 0.336393i \(0.890793\pi\)
\(654\) 0.346444 0.600059i 0.0135470 0.0234642i
\(655\) 2.95506 2.47959i 0.115464 0.0968856i
\(656\) 1.91684 1.60842i 0.0748402 0.0627984i
\(657\) 3.69200 6.39474i 0.144039 0.249483i
\(658\) −1.29841 2.24890i −0.0506171 0.0876714i
\(659\) 33.2077 + 12.0866i 1.29359 + 0.470827i 0.894903 0.446261i \(-0.147245\pi\)
0.398684 + 0.917088i \(0.369467\pi\)
\(660\) 0.922641 5.23256i 0.0359138 0.203677i
\(661\) −5.55684 31.5144i −0.216136 1.22577i −0.878924 0.476962i \(-0.841738\pi\)
0.662788 0.748807i \(-0.269373\pi\)
\(662\) 6.79024 2.47144i 0.263910 0.0960554i
\(663\) 7.26221 + 6.09371i 0.282041 + 0.236660i
\(664\) −1.48014 −0.0574404
\(665\) 5.51686 + 2.93757i 0.213935 + 0.113914i
\(666\) −0.140332 −0.00543774
\(667\) −2.95009 2.47542i −0.114228 0.0958487i
\(668\) −22.2975 + 8.11564i −0.862718 + 0.314004i
\(669\) −2.26021 12.8183i −0.0873849 0.495584i
\(670\) 1.87236 10.6187i 0.0723357 0.410236i
\(671\) 73.2982 + 26.6784i 2.82965 + 1.02991i
\(672\) 0.716948 + 1.24179i 0.0276569 + 0.0479031i
\(673\) 15.8600 27.4703i 0.611358 1.05890i −0.379654 0.925128i \(-0.623957\pi\)
0.991012 0.133774i \(-0.0427096\pi\)
\(674\) −15.6099 + 13.0983i −0.601271 + 0.504526i
\(675\) 0.766044 0.642788i 0.0294851 0.0247409i
\(676\) 4.99484 8.65132i 0.192109 0.332743i
\(677\) 5.69130 + 9.85763i 0.218735 + 0.378859i 0.954421 0.298463i \(-0.0964738\pi\)
−0.735687 + 0.677322i \(0.763140\pi\)
\(678\) −10.7887 3.92676i −0.414337 0.150806i
\(679\) −1.38694 + 7.86570i −0.0532257 + 0.301858i
\(680\) 0.948809 + 5.38096i 0.0363851 + 0.206350i
\(681\) −21.8676 + 7.95914i −0.837966 + 0.304995i
\(682\) 24.5928 + 20.6358i 0.941706 + 0.790185i
\(683\) 1.84635 0.0706485 0.0353243 0.999376i \(-0.488754\pi\)
0.0353243 + 0.999376i \(0.488754\pi\)
\(684\) 0.149538 + 4.35633i 0.00571772 + 0.166569i
\(685\) −15.1758 −0.579837
\(686\) 13.1196 + 11.0086i 0.500907 + 0.420311i
\(687\) −18.5457 + 6.75009i −0.707563 + 0.257532i
\(688\) −1.98575 11.2617i −0.0757059 0.429350i
\(689\) 1.58079 8.96509i 0.0602232 0.341543i
\(690\) −3.33041 1.21217i −0.126787 0.0461466i
\(691\) 3.39642 + 5.88276i 0.129206 + 0.223791i 0.923369 0.383913i \(-0.125424\pi\)
−0.794163 + 0.607704i \(0.792091\pi\)
\(692\) 4.13563 7.16312i 0.157213 0.272301i
\(693\) −5.83625 + 4.89720i −0.221701 + 0.186029i
\(694\) −6.79302 + 5.70002i −0.257859 + 0.216370i
\(695\) 6.45875 11.1869i 0.244994 0.424343i
\(696\) 0.543299 + 0.941022i 0.0205937 + 0.0356694i
\(697\) −12.8477 4.67620i −0.486643 0.177124i
\(698\) −5.78136 + 32.7877i −0.218828 + 1.24103i
\(699\) −3.16200 17.9326i −0.119598 0.678273i
\(700\) 1.34742 0.490421i 0.0509277 0.0185362i
\(701\) 4.98347 + 4.18163i 0.188223 + 0.157938i 0.732030 0.681273i \(-0.238573\pi\)
−0.543807 + 0.839210i \(0.683018\pi\)
\(702\) 1.73503 0.0654844
\(703\) −0.409031 0.454818i −0.0154269 0.0171538i
\(704\) 5.31328 0.200252
\(705\) −1.38732 1.16410i −0.0522495 0.0438425i
\(706\) 12.7515 4.64118i 0.479910 0.174673i
\(707\) −0.974549 5.52694i −0.0366517 0.207862i
\(708\) 0.00801643 0.0454634i 0.000301276 0.00170862i
\(709\) 9.08053 + 3.30504i 0.341026 + 0.124123i 0.506855 0.862031i \(-0.330808\pi\)
−0.165829 + 0.986155i \(0.553030\pi\)
\(710\) −3.80996 6.59905i −0.142985 0.247658i
\(711\) 6.59140 11.4166i 0.247197 0.428158i
\(712\) −0.776926 + 0.651918i −0.0291165 + 0.0244317i
\(713\) 16.4043 13.7648i 0.614345 0.515496i
\(714\) 3.91738 6.78510i 0.146604 0.253926i
\(715\) −4.60934 7.98361i −0.172380 0.298570i
\(716\) 9.75995 + 3.55233i 0.364746 + 0.132757i
\(717\) 3.40668 19.3203i 0.127225 0.721528i
\(718\) −3.05669 17.3353i −0.114075 0.646949i
\(719\) 26.5263 9.65477i 0.989263 0.360062i 0.203828 0.979007i \(-0.434662\pi\)
0.785435 + 0.618944i \(0.212439\pi\)
\(720\) 0.766044 + 0.642788i 0.0285488 + 0.0239553i
\(721\) 22.4952 0.837765
\(722\) −13.6831 + 13.1823i −0.509233 + 0.490593i
\(723\) −0.411198 −0.0152926
\(724\) 9.20718 + 7.72574i 0.342182 + 0.287125i
\(725\) 1.02107 0.371639i 0.0379216 0.0138023i
\(726\) 2.99212 + 16.9692i 0.111048 + 0.629785i
\(727\) 0.439877 2.49466i 0.0163141 0.0925220i −0.975564 0.219717i \(-0.929486\pi\)
0.991878 + 0.127195i \(0.0405976\pi\)
\(728\) 2.33781 + 0.850894i 0.0866451 + 0.0315362i
\(729\) −0.500000 0.866025i −0.0185185 0.0320750i
\(730\) 3.69200 6.39474i 0.136647 0.236680i
\(731\) −47.8648 + 40.1633i −1.77034 + 1.48549i
\(732\) −11.2460 + 9.43653i −0.415665 + 0.348784i
\(733\) 0.364686 0.631655i 0.0134700 0.0233307i −0.859212 0.511620i \(-0.829046\pi\)
0.872682 + 0.488289i \(0.162379\pi\)
\(734\) 17.6366 + 30.5475i 0.650978 + 1.12753i
\(735\) 4.64579 + 1.69093i 0.171362 + 0.0623708i
\(736\) 0.615435 3.49031i 0.0226853 0.128654i
\(737\) 9.94839 + 56.4202i 0.366454 + 2.07826i
\(738\) −2.35136 + 0.855824i −0.0865547 + 0.0315033i
\(739\) 15.4710 + 12.9817i 0.569110 + 0.477540i 0.881350 0.472463i \(-0.156635\pi\)
−0.312240 + 0.950003i \(0.601079\pi\)
\(740\) −0.140332 −0.00515869
\(741\) 5.05717 + 5.62326i 0.185780 + 0.206576i
\(742\) −7.52340 −0.276193
\(743\) −18.6422 15.6426i −0.683915 0.573873i 0.233232 0.972421i \(-0.425070\pi\)
−0.917147 + 0.398548i \(0.869514\pi\)
\(744\) −5.67775 + 2.06653i −0.208157 + 0.0757628i
\(745\) 3.13795 + 17.7962i 0.114966 + 0.652002i
\(746\) 2.88142 16.3414i 0.105496 0.598300i
\(747\) 1.39087 + 0.506236i 0.0508894 + 0.0185222i
\(748\) −14.5158 25.1421i −0.530750 0.919287i
\(749\) −8.78864 + 15.2224i −0.321130 + 0.556213i
\(750\) 0.766044 0.642788i 0.0279720 0.0234713i
\(751\) −9.87603 + 8.28697i −0.360381 + 0.302396i −0.804943 0.593352i \(-0.797804\pi\)
0.444561 + 0.895748i \(0.353360\pi\)
\(752\) 0.905509 1.56839i 0.0330205 0.0571932i
\(753\) −7.02076 12.1603i −0.255851 0.443146i
\(754\) 1.77158 + 0.644803i 0.0645172 + 0.0234823i
\(755\) −0.805731 + 4.56953i −0.0293236 + 0.166302i
\(756\) −0.248993 1.41211i −0.00905580 0.0513580i
\(757\) 23.5070 8.55585i 0.854376 0.310968i 0.122553 0.992462i \(-0.460892\pi\)
0.731823 + 0.681494i \(0.238670\pi\)
\(758\) −6.27976 5.26935i −0.228091 0.191391i
\(759\) 18.8311 0.683525
\(760\) 0.149538 + 4.35633i 0.00542430 + 0.158021i
\(761\) −31.4296 −1.13932 −0.569662 0.821879i \(-0.692926\pi\)
−0.569662 + 0.821879i \(0.692926\pi\)
\(762\) 13.3859 + 11.2321i 0.484919 + 0.406895i
\(763\) −0.933613 + 0.339807i −0.0337991 + 0.0123019i
\(764\) −1.11153 6.30381i −0.0402138 0.228064i
\(765\) 0.948809 5.38096i 0.0343042 0.194549i
\(766\) 18.0815 + 6.58113i 0.653311 + 0.237786i
\(767\) −0.0400486 0.0693661i −0.00144607 0.00250467i
\(768\) −0.500000 + 0.866025i −0.0180422 + 0.0312500i
\(769\) −7.88958 + 6.62014i −0.284506 + 0.238729i −0.773860 0.633356i \(-0.781677\pi\)
0.489355 + 0.872085i \(0.337232\pi\)
\(770\) −5.83625 + 4.89720i −0.210324 + 0.176483i
\(771\) −15.7034 + 27.1991i −0.565544 + 0.979551i
\(772\) 1.81550 + 3.14454i 0.0653412 + 0.113174i
\(773\) −41.1526 14.9783i −1.48016 0.538733i −0.529319 0.848423i \(-0.677552\pi\)
−0.950838 + 0.309690i \(0.899775\pi\)
\(774\) −1.98575 + 11.2617i −0.0713762 + 0.404795i
\(775\) 1.04921 + 5.95034i 0.0376886 + 0.213743i
\(776\) −5.23425 + 1.90511i −0.187899 + 0.0683895i
\(777\) 0.154144 + 0.129342i 0.00552989 + 0.00464013i
\(778\) −9.22027 −0.330563
\(779\) −9.62736 5.12629i −0.344936 0.183668i
\(780\) 1.73503 0.0621239
\(781\) 31.0147 + 26.0244i 1.10979 + 0.931227i
\(782\) −18.1973 + 6.62327i −0.650733 + 0.236848i
\(783\) −0.188686 1.07009i −0.00674308 0.0382419i
\(784\) −0.858507 + 4.86883i −0.0306610 + 0.173887i
\(785\) 15.0157 + 5.46527i 0.535933 + 0.195064i
\(786\) −1.92878 3.34074i −0.0687972 0.119160i
\(787\) 12.0766 20.9173i 0.430485 0.745622i −0.566430 0.824110i \(-0.691676\pi\)
0.996915 + 0.0784880i \(0.0250092\pi\)
\(788\) 6.57663 5.51845i 0.234283 0.196587i
\(789\) 4.32366 3.62798i 0.153926 0.129160i
\(790\) 6.59140 11.4166i 0.234512 0.406186i
\(791\) 8.23133 + 14.2571i 0.292672 + 0.506924i
\(792\) −4.99285 1.81725i −0.177413 0.0645731i
\(793\) −4.42304 + 25.0843i −0.157067 + 0.890770i
\(794\) 3.98327 + 22.5902i 0.141361 + 0.801697i
\(795\) −4.93041 + 1.79452i −0.174863 + 0.0636451i
\(796\) 11.6505 + 9.77596i 0.412942 + 0.346500i
\(797\) −21.6138 −0.765600 −0.382800 0.923831i \(-0.625040\pi\)
−0.382800 + 0.923831i \(0.625040\pi\)
\(798\) 3.85093 4.92294i 0.136322 0.174270i
\(799\) −9.89535 −0.350072
\(800\) 0.766044 + 0.642788i 0.0270838 + 0.0227260i
\(801\) 0.953041 0.346879i 0.0336740 0.0122564i
\(802\) 4.34479 + 24.6405i 0.153420 + 0.870086i
\(803\) −6.81279 + 38.6373i −0.240418 + 1.36348i
\(804\) −10.1322 3.68784i −0.357337 0.130060i
\(805\) 2.54097 + 4.40109i 0.0895575 + 0.155118i
\(806\) −5.24164 + 9.07878i −0.184629 + 0.319786i
\(807\) 11.4963 9.64651i 0.404688 0.339573i
\(808\) 2.99826 2.51584i 0.105479 0.0885070i
\(809\) −10.6430 + 18.4342i −0.374188 + 0.648112i −0.990205 0.139621i \(-0.955412\pi\)
0.616018 + 0.787732i \(0.288745\pi\)
\(810\) −0.500000 0.866025i −0.0175682 0.0304290i
\(811\) −23.7561 8.64651i −0.834189 0.303620i −0.110612 0.993864i \(-0.535281\pi\)
−0.723577 + 0.690244i \(0.757503\pi\)
\(812\) 0.270556 1.53440i 0.00949465 0.0538468i
\(813\) −3.56699 20.2294i −0.125100 0.709476i
\(814\) 0.700655 0.255017i 0.0245579 0.00893836i
\(815\) 2.27229 + 1.90668i 0.0795948 + 0.0667880i
\(816\) 5.46397 0.191277
\(817\) −42.2875 + 26.3893i −1.47945 + 0.923244i
\(818\) −35.3271 −1.23518
\(819\) −1.90580 1.59916i −0.0665941 0.0558791i
\(820\) −2.35136 + 0.855824i −0.0821130 + 0.0298867i
\(821\) 6.71376 + 38.0756i 0.234312 + 1.32885i 0.844058 + 0.536252i \(0.180160\pi\)
−0.609746 + 0.792597i \(0.708729\pi\)
\(822\) −2.63525 + 14.9452i −0.0919148 + 0.521275i
\(823\) −49.3515 17.9625i −1.72028 0.626132i −0.722420 0.691454i \(-0.756970\pi\)
−0.997864 + 0.0653220i \(0.979193\pi\)
\(824\) 7.84408 + 13.5864i 0.273262 + 0.473303i
\(825\) −2.65664 + 4.60144i −0.0924923 + 0.160201i
\(826\) −0.0507086 + 0.0425496i −0.00176438 + 0.00148049i
\(827\) −20.7633 + 17.4225i −0.722011 + 0.605839i −0.927941 0.372728i \(-0.878423\pi\)
0.205930 + 0.978567i \(0.433978\pi\)
\(828\) −1.77208 + 3.06933i −0.0615839 + 0.106666i
\(829\) −20.5515 35.5963i −0.713785 1.23631i −0.963426 0.267973i \(-0.913646\pi\)
0.249642 0.968338i \(-0.419687\pi\)
\(830\) 1.39087 + 0.506236i 0.0482779 + 0.0175717i
\(831\) −2.51469 + 14.2615i −0.0872336 + 0.494726i
\(832\) 0.301284 + 1.70867i 0.0104452 + 0.0592374i
\(833\) 25.3844 9.23918i 0.879519 0.320119i
\(834\) −9.89538 8.30321i −0.342649 0.287517i
\(835\) 23.7286 0.821161
\(836\) −8.66316 21.4788i −0.299622 0.742859i
\(837\) 6.04214 0.208847
\(838\) 16.4868 + 13.8340i 0.569526 + 0.477889i
\(839\) 19.9661 7.26708i 0.689308 0.250888i 0.0264690 0.999650i \(-0.491574\pi\)
0.662839 + 0.748762i \(0.269351\pi\)
\(840\) −0.248993 1.41211i −0.00859109 0.0487225i
\(841\) −4.83077 + 27.3967i −0.166578 + 0.944713i
\(842\) 7.23331 + 2.63271i 0.249276 + 0.0907292i
\(843\) 5.06717 + 8.77659i 0.174523 + 0.302282i
\(844\) 10.7703 18.6547i 0.370728 0.642120i
\(845\) −7.65254 + 6.42124i −0.263255 + 0.220897i
\(846\) −1.38732 + 1.16410i −0.0476971 + 0.0400226i
\(847\) 12.3537 21.3972i 0.424478 0.735217i
\(848\) −2.62341 4.54389i −0.0900884 0.156038i
\(849\) 11.7982 + 4.29420i 0.404913 + 0.147376i
\(850\) 0.948809 5.38096i 0.0325439 0.184565i
\(851\) −0.0863650 0.489800i −0.00296055 0.0167901i
\(852\) −7.16039 + 2.60617i −0.245311 + 0.0892858i
\(853\) 9.12228 + 7.65450i 0.312341 + 0.262085i 0.785459 0.618914i \(-0.212427\pi\)
−0.473118 + 0.880999i \(0.656872\pi\)
\(854\) 21.0505 0.720333
\(855\) 1.34943 4.14476i 0.0461497 0.141748i
\(856\) −12.2584 −0.418984
\(857\) −20.5931 17.2797i −0.703449 0.590263i 0.219304 0.975657i \(-0.429621\pi\)
−0.922752 + 0.385393i \(0.874066\pi\)
\(858\) −8.66273 + 3.15298i −0.295741 + 0.107641i
\(859\) −7.01596 39.7895i −0.239381 1.35760i −0.833187 0.552991i \(-0.813486\pi\)
0.593806 0.804609i \(-0.297625\pi\)
\(860\) −1.98575 + 11.2617i −0.0677134 + 0.384022i
\(861\) 3.37160 + 1.22716i 0.114904 + 0.0418216i
\(862\) 1.13695 + 1.96926i 0.0387248 + 0.0670733i
\(863\) 6.35742 11.0114i 0.216409 0.374832i −0.737298 0.675567i \(-0.763899\pi\)
0.953708 + 0.300736i \(0.0972322\pi\)
\(864\) 0.766044 0.642788i 0.0260614 0.0218681i
\(865\) −6.33615 + 5.31666i −0.215436 + 0.180772i
\(866\) −2.93485 + 5.08331i −0.0997303 + 0.172738i
\(867\) −6.42749 11.1327i −0.218289 0.378088i
\(868\) 8.14130 + 2.96319i 0.276334 + 0.100577i
\(869\) −12.1630 + 68.9798i −0.412602 + 2.33998i
\(870\) −0.188686 1.07009i −0.00639705 0.0362795i
\(871\) −17.5797 + 6.39850i −0.595666 + 0.216805i
\(872\) −0.530784 0.445380i −0.0179746 0.0150825i
\(873\) 5.57017 0.188522
\(874\) −15.1129 + 3.20297i −0.511202 + 0.108342i
\(875\) −1.43390 −0.0484745
\(876\) −5.65648 4.74635i −0.191115 0.160364i
\(877\) −22.7094 + 8.26555i −0.766842 + 0.279108i −0.695675 0.718357i \(-0.744895\pi\)
−0.0711671 + 0.997464i \(0.522672\pi\)
\(878\) 5.59872 + 31.7519i 0.188948 + 1.07158i
\(879\) −1.69197 + 9.59565i −0.0570688 + 0.323653i
\(880\) −4.99285 1.81725i −0.168309 0.0612595i
\(881\) 25.8846 + 44.8334i 0.872073 + 1.51047i 0.859849 + 0.510549i \(0.170558\pi\)
0.0122242 + 0.999925i \(0.496109\pi\)
\(882\) 2.47197 4.28158i 0.0832356 0.144168i
\(883\) −16.7495 + 14.0545i −0.563667 + 0.472973i −0.879538 0.475830i \(-0.842148\pi\)
0.315871 + 0.948802i \(0.397703\pi\)
\(884\) 7.26221 6.09371i 0.244254 0.204954i
\(885\) −0.0230824 + 0.0399799i −0.000775906 + 0.00134391i
\(886\) −2.17216 3.76229i −0.0729751 0.126397i
\(887\) 7.07296 + 2.57435i 0.237487 + 0.0864381i 0.458022 0.888941i \(-0.348558\pi\)
−0.220535 + 0.975379i \(0.570780\pi\)
\(888\) −0.0243683 + 0.138200i −0.000817747 + 0.00463768i
\(889\) −4.35091 24.6752i −0.145925 0.827581i
\(890\) 0.953041 0.346879i 0.0319460 0.0116274i
\(891\) 4.07021 + 3.41531i 0.136357 + 0.114417i
\(892\) −13.0160 −0.435809
\(893\) −7.81657 1.10328i −0.261571 0.0369198i
\(894\) 18.0707 0.604375
\(895\) −7.95638 6.67620i −0.265953 0.223161i
\(896\) 1.34742 0.490421i 0.0450142 0.0163838i
\(897\) 1.06780 + 6.05578i 0.0356527 + 0.202197i
\(898\) 2.49635 14.1575i 0.0833044 0.472443i
\(899\) 6.16944 + 2.24549i 0.205762 + 0.0748914i
\(900\) −0.500000 0.866025i −0.0166667 0.0288675i
\(901\) −14.3343 + 24.8277i −0.477543 + 0.827129i
\(902\) 10.1847 8.54600i 0.339114 0.284551i
\(903\) 12.5610 10.5400i 0.418005 0.350748i
\(904\) −5.74054 + 9.94290i −0.190927 + 0.330696i
\(905\) −6.00956 10.4089i −0.199765 0.346002i
\(906\) 4.36019 + 1.58698i 0.144858 + 0.0527239i
\(907\) 1.35342 7.67562i 0.0449395 0.254865i −0.954058 0.299621i \(-0.903140\pi\)
0.998998 + 0.0447559i \(0.0142510\pi\)
\(908\) 4.04096 + 22.9174i 0.134104 + 0.760541i
\(909\) −3.67791 + 1.33865i −0.121989 + 0.0444003i
\(910\) −1.90580 1.59916i −0.0631767 0.0530115i
\(911\) 17.7679 0.588675 0.294338 0.955701i \(-0.404901\pi\)
0.294338 + 0.955701i \(0.404901\pi\)
\(912\) 4.31612 + 0.609203i 0.142921 + 0.0201727i
\(913\) −7.86438 −0.260273
\(914\) 17.0880 + 14.3385i 0.565221 + 0.474277i
\(915\) 13.7953 5.02107i 0.456058 0.165991i
\(916\) 3.42711 + 19.4361i 0.113235 + 0.642187i
\(917\) −0.960506 + 5.44730i −0.0317187 + 0.179886i
\(918\) −5.13445 1.86879i −0.169462 0.0616792i
\(919\) 13.6437 + 23.6316i 0.450064 + 0.779534i 0.998389 0.0567314i \(-0.0180679\pi\)
−0.548326 + 0.836265i \(0.684735\pi\)
\(920\) −1.77208 + 3.06933i −0.0584236 + 0.101193i
\(921\) 21.8763 18.3564i 0.720848 0.604863i
\(922\) 6.28165 5.27093i 0.206875 0.173589i
\(923\) −6.61039 + 11.4495i −0.217584 + 0.376866i
\(924\) 3.80934 + 6.59798i 0.125318 + 0.217058i
\(925\) 0.131869 + 0.0479962i 0.00433581 + 0.00157811i
\(926\) 4.71771 26.7555i 0.155034 0.879239i
\(927\) −2.72422 15.4498i −0.0894752 0.507439i
\(928\) 1.02107 0.371639i 0.0335182 0.0121996i
\(929\) −9.05735 7.60002i −0.297162 0.249348i 0.482000 0.876171i \(-0.339911\pi\)
−0.779162 + 0.626823i \(0.784355\pi\)
\(930\) 6.04214 0.198130
\(931\) 21.0819 4.46802i 0.690931 0.146433i
\(932\) −18.2092 −0.596463
\(933\) 18.6817 + 15.6758i 0.611612 + 0.513204i
\(934\) −36.6445 + 13.3375i −1.19905 + 0.436417i
\(935\) 5.04129 + 28.5906i 0.164868 + 0.935011i
\(936\) 0.301284 1.70867i 0.00984778 0.0558496i
\(937\) 51.8845 + 18.8844i 1.69499 + 0.616927i 0.995240 0.0974583i \(-0.0310713\pi\)
0.699753 + 0.714385i \(0.253293\pi\)
\(938\) 7.73050 + 13.3896i 0.252410 + 0.437186i
\(939\) −0.405526 + 0.702392i −0.0132339 + 0.0229217i
\(940\) −1.38732 + 1.16410i −0.0452494 + 0.0379688i
\(941\) 24.7512 20.7687i 0.806865 0.677040i −0.142992 0.989724i \(-0.545672\pi\)
0.949857 + 0.312684i \(0.101228\pi\)
\(942\) 7.98969 13.8385i 0.260318 0.450884i
\(943\) −4.43420 7.68026i −0.144397 0.250104i
\(944\) −0.0433807 0.0157893i −0.00141192 0.000513897i
\(945\) −0.248993 + 1.41211i −0.00809975 + 0.0459360i
\(946\) −10.5508 59.8368i −0.343037 1.94546i
\(947\) −21.7612 + 7.92043i −0.707144 + 0.257380i −0.670458 0.741947i \(-0.733902\pi\)
−0.0366862 + 0.999327i \(0.511680\pi\)
\(948\) −10.0986 8.47374i −0.327988 0.275214i
\(949\) −12.8115 −0.415877
\(950\) 1.34943 4.14476i 0.0437814 0.134474i
\(951\) 6.51780 0.211354
\(952\) −6.00178 5.03609i −0.194519 0.163221i
\(953\) 5.42976 1.97627i 0.175887 0.0640177i −0.252575 0.967577i \(-0.581278\pi\)
0.428463 + 0.903559i \(0.359055\pi\)
\(954\) 0.911102 + 5.16712i 0.0294980 + 0.167292i
\(955\) −1.11153 + 6.30381i −0.0359683 + 0.203987i
\(956\) −18.4352 6.70985i −0.596236 0.217012i
\(957\) 2.88670 + 4.99992i 0.0933138 + 0.161624i
\(958\) 17.0057 29.4547i 0.549428 0.951637i
\(959\) 16.6695 13.9874i 0.538286 0.451676i
\(960\) 0.766044 0.642788i 0.0247240 0.0207459i
\(961\) −2.75372 + 4.76958i −0.0888295 + 0.153857i
\(962\) 0.121740 + 0.210859i 0.00392504 + 0.00679837i
\(963\) 11.5191 + 4.19262i 0.371199 + 0.135105i
\(964\) −0.0714037 + 0.404951i −0.00229976 + 0.0130426i
\(965\) −0.630516 3.57583i −0.0202970 0.115110i
\(966\) 4.77546 1.73813i 0.153648 0.0559233i
\(967\) −25.4026 21.3153i −0.816893 0.685455i 0.135349 0.990798i \(-0.456784\pi\)
−0.952242 + 0.305343i \(0.901229\pi\)
\(968\) 17.2309 0.553824
\(969\) −8.90886 22.0879i −0.286194 0.709567i
\(970\) 5.57017 0.178847
\(971\) −35.0243 29.3889i −1.12398 0.943134i −0.125185 0.992133i \(-0.539952\pi\)
−0.998799 + 0.0489990i \(0.984397\pi\)
\(972\) −0.939693 + 0.342020i −0.0301407 + 0.0109703i
\(973\) 3.21637 + 18.2410i 0.103112 + 0.584778i
\(974\) 5.42788 30.7830i 0.173921 0.986352i
\(975\) −1.63039 0.593414i −0.0522143 0.0190045i
\(976\) 7.34031 + 12.7138i 0.234958 + 0.406959i
\(977\) −23.4691 + 40.6497i −0.750844 + 1.30050i 0.196570 + 0.980490i \(0.437020\pi\)
−0.947414 + 0.320010i \(0.896314\pi\)
\(978\) 2.27229 1.90668i 0.0726598 0.0609688i
\(979\) −4.12803 + 3.46383i −0.131932 + 0.110704i
\(980\) 2.47197 4.28158i 0.0789643 0.136770i
\(981\) 0.346444 + 0.600059i 0.0110611 + 0.0191584i
\(982\) 27.0907 + 9.86022i 0.864500 + 0.314652i
\(983\) −5.50446 + 31.2174i −0.175565 + 0.995679i 0.761925 + 0.647666i \(0.224255\pi\)
−0.937490 + 0.348013i \(0.886856\pi\)
\(984\) 0.434513 + 2.46425i 0.0138518 + 0.0785573i
\(985\) −8.06743 + 2.93631i −0.257050 + 0.0935585i
\(986\) −4.54812 3.81632i −0.144842 0.121536i
\(987\) 2.59681 0.0826574
\(988\) 6.41600 4.00387i 0.204120 0.127380i
\(989\) −40.5290 −1.28875
\(990\) 4.07021 + 3.41531i 0.129360 + 0.108546i
\(991\) 43.3351 15.7727i 1.37659 0.501036i 0.455445 0.890264i \(-0.349480\pi\)
0.921142 + 0.389228i \(0.127258\pi\)
\(992\) 1.04921 + 5.95034i 0.0333123 + 0.188924i
\(993\) −1.25479 + 7.11624i −0.0398194 + 0.225827i
\(994\) 10.2672 + 3.73697i 0.325657 + 0.118530i
\(995\) −7.60434 13.1711i −0.241074 0.417552i
\(996\) 0.740068 1.28184i 0.0234500 0.0406165i
\(997\) 19.4751 16.3416i 0.616784 0.517543i −0.280007 0.959998i \(-0.590337\pi\)
0.896791 + 0.442455i \(0.145892\pi\)
\(998\) 3.19759 2.68310i 0.101218 0.0849319i
\(999\) 0.0701658 0.121531i 0.00221995 0.00384506i
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 570.2.u.i.301.2 12
19.6 even 9 inner 570.2.u.i.481.2 yes 12
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
570.2.u.i.301.2 12 1.1 even 1 trivial
570.2.u.i.481.2 yes 12 19.6 even 9 inner