Properties

Label 403.2.cd.a.21.18
Level $403$
Weight $2$
Character 403.21
Analytic conductor $3.218$
Analytic rank $0$
Dimension $576$
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] = [403,2,Mod(21,403)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(403, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([15, 58]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("403.21");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.cd (of order \(60\), degree \(16\), 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: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(576\)
Relative dimension: \(36\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 21.18
Character \(\chi\) \(=\) 403.21
Dual form 403.2.cd.a.96.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0348740 - 0.220186i) q^{2} +(-1.73304 + 0.182150i) q^{3} +(1.85485 - 0.602676i) q^{4} +(0.939504 - 3.50628i) q^{5} +(0.100545 + 0.375238i) q^{6} +(3.04041 - 1.97447i) q^{7} +(-0.399803 - 0.784658i) q^{8} +(0.0357975 - 0.00760900i) q^{9} +O(q^{10})\) \(q+(-0.0348740 - 0.220186i) q^{2} +(-1.73304 + 0.182150i) q^{3} +(1.85485 - 0.602676i) q^{4} +(0.939504 - 3.50628i) q^{5} +(0.100545 + 0.375238i) q^{6} +(3.04041 - 1.97447i) q^{7} +(-0.399803 - 0.784658i) q^{8} +(0.0357975 - 0.00760900i) q^{9} +(-0.804796 - 0.0845874i) q^{10} +(-4.81075 + 0.252121i) q^{11} +(-3.10474 + 1.38232i) q^{12} +(-0.0650947 + 3.60496i) q^{13} +(-0.540780 - 0.600597i) q^{14} +(-0.989528 + 6.24764i) q^{15} +(2.99683 - 2.17732i) q^{16} +(-2.63044 - 2.92140i) q^{17} +(-0.00292379 - 0.00761674i) q^{18} +(2.37604 + 0.912078i) q^{19} +(-0.370514 - 7.06982i) q^{20} +(-4.90950 + 3.97563i) q^{21} +(0.223284 + 1.05047i) q^{22} +(-0.822757 + 2.53219i) q^{23} +(0.835799 + 1.28702i) q^{24} +(-7.08117 - 4.08832i) q^{25} +(0.796031 - 0.111387i) q^{26} +(4.91123 - 1.59576i) q^{27} +(4.44953 - 5.49472i) q^{28} +(5.07200 - 6.98101i) q^{29} +1.41015 q^{30} +(-4.36467 + 3.45683i) q^{31} +(-1.82934 - 1.82934i) q^{32} +(8.29129 - 1.31321i) q^{33} +(-0.551516 + 0.681066i) q^{34} +(-4.06654 - 12.5155i) q^{35} +(0.0618132 - 0.0356879i) q^{36} +(-1.11568 + 0.298947i) q^{37} +(0.117964 - 0.554979i) q^{38} +(-0.543831 - 6.25939i) q^{39} +(-3.12684 + 0.664631i) q^{40} +(1.45700 - 1.17985i) q^{41} +(1.04659 + 0.942355i) q^{42} +(8.13363 - 3.62133i) q^{43} +(-8.77127 + 3.36697i) q^{44} +(0.00695266 - 0.132665i) q^{45} +(0.586244 + 0.0928519i) q^{46} +(-0.685868 + 4.33040i) q^{47} +(-4.79702 + 4.31925i) q^{48} +(2.49843 - 5.61156i) q^{49} +(-0.653240 + 1.70175i) q^{50} +(5.09078 + 4.58376i) q^{51} +(2.05189 + 6.72589i) q^{52} +(1.60742 + 7.56232i) q^{53} +(-0.522637 - 1.02573i) q^{54} +(-3.63572 + 17.1047i) q^{55} +(-2.76485 - 1.59628i) q^{56} +(-4.28391 - 1.14787i) q^{57} +(-1.71400 - 0.873326i) q^{58} +(4.82139 + 3.90428i) q^{59} +(1.92988 + 12.1848i) q^{60} -12.0332i q^{61} +(0.913358 + 0.840484i) q^{62} +(0.0938155 - 0.0938155i) q^{63} +(4.01565 - 5.52706i) q^{64} +(12.5788 + 3.61512i) q^{65} +(-0.578301 - 1.77983i) q^{66} +(-1.31049 + 4.89081i) q^{67} +(-6.63972 - 3.83344i) q^{68} +(0.964632 - 4.53824i) q^{69} +(-2.61393 + 1.33186i) q^{70} +(3.88669 + 2.52404i) q^{71} +(-0.0202824 - 0.0250467i) q^{72} +(-7.70478 + 0.403790i) q^{73} +(0.104732 + 0.235232i) q^{74} +(13.0166 + 5.79537i) q^{75} +(4.95689 + 0.259779i) q^{76} +(-14.1289 + 10.2652i) q^{77} +(-1.35926 + 0.338034i) q^{78} +(11.5871 - 10.4330i) q^{79} +(-4.81876 - 12.5533i) q^{80} +(-8.32099 + 3.70474i) q^{81} +(-0.310598 - 0.279663i) q^{82} +(5.83116 + 7.20089i) q^{83} +(-6.71035 + 10.3330i) q^{84} +(-12.7145 + 6.47838i) q^{85} +(-1.08102 - 1.66462i) q^{86} +(-7.51837 + 13.0222i) q^{87} +(2.12118 + 3.67400i) q^{88} +(1.69315 - 3.32299i) q^{89} +(-0.0294533 + 0.00309567i) q^{90} +(6.91996 + 11.0891i) q^{91} +5.19267i q^{92} +(6.93447 - 6.78584i) q^{93} +0.977411 q^{94} +(5.43030 - 7.47416i) q^{95} +(3.50353 + 2.83710i) q^{96} +(-1.82093 + 3.57377i) q^{97} +(-1.32271 - 0.354420i) q^{98} +(-0.170295 + 0.0456303i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 576 q - 12 q^{2} - 28 q^{3} - 8 q^{5} + 6 q^{6} - 16 q^{7} - 46 q^{8} - 104 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 576 q - 12 q^{2} - 28 q^{3} - 8 q^{5} + 6 q^{6} - 16 q^{7} - 46 q^{8} - 104 q^{9} - 18 q^{11} - 24 q^{13} - 44 q^{14} + 10 q^{15} + 120 q^{16} - 10 q^{18} - 16 q^{19} - 32 q^{20} - 28 q^{21} - 28 q^{24} - 72 q^{26} - 100 q^{27} + 38 q^{28} - 40 q^{29} - 66 q^{31} - 124 q^{32} + 52 q^{33} + 76 q^{34} - 32 q^{35} - 36 q^{37} + 10 q^{39} - 52 q^{40} + 2 q^{41} + 8 q^{42} + 12 q^{44} + 30 q^{45} + 20 q^{46} - 20 q^{47} - 40 q^{48} + 50 q^{52} - 84 q^{53} - 80 q^{54} - 28 q^{55} - 126 q^{57} + 70 q^{58} - 74 q^{59} - 50 q^{60} + 212 q^{63} + 84 q^{65} + 136 q^{66} - 20 q^{67} - 60 q^{68} + 18 q^{70} - 62 q^{71} - 54 q^{72} - 32 q^{73} - 112 q^{74} - 64 q^{76} + 6 q^{78} - 56 q^{79} + 60 q^{80} - 168 q^{81} + 238 q^{83} - 206 q^{84} - 30 q^{85} - 158 q^{86} + 76 q^{87} + 140 q^{89} - 50 q^{91} + 70 q^{93} - 48 q^{94} + 8 q^{96} - 92 q^{97} + 50 q^{98} - 156 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{29}{30}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0348740 0.220186i −0.0246596 0.155695i 0.972286 0.233795i \(-0.0751145\pi\)
−0.996945 + 0.0781004i \(0.975115\pi\)
\(3\) −1.73304 + 0.182150i −1.00057 + 0.105164i −0.590625 0.806946i \(-0.701119\pi\)
−0.409945 + 0.912110i \(0.634452\pi\)
\(4\) 1.85485 0.602676i 0.927424 0.301338i
\(5\) 0.939504 3.50628i 0.420159 1.56805i −0.354114 0.935202i \(-0.615218\pi\)
0.774273 0.632852i \(-0.218116\pi\)
\(6\) 0.100545 + 0.375238i 0.0410472 + 0.153190i
\(7\) 3.04041 1.97447i 1.14917 0.746278i 0.177848 0.984058i \(-0.443086\pi\)
0.971319 + 0.237780i \(0.0764197\pi\)
\(8\) −0.399803 0.784658i −0.141352 0.277418i
\(9\) 0.0357975 0.00760900i 0.0119325 0.00253633i
\(10\) −0.804796 0.0845874i −0.254499 0.0267489i
\(11\) −4.81075 + 0.252121i −1.45050 + 0.0760173i −0.761226 0.648487i \(-0.775402\pi\)
−0.689271 + 0.724504i \(0.742069\pi\)
\(12\) −3.10474 + 1.38232i −0.896262 + 0.399042i
\(13\) −0.0650947 + 3.60496i −0.0180540 + 0.999837i
\(14\) −0.540780 0.600597i −0.144530 0.160516i
\(15\) −0.989528 + 6.24764i −0.255495 + 1.61313i
\(16\) 2.99683 2.17732i 0.749207 0.544331i
\(17\) −2.63044 2.92140i −0.637975 0.708543i 0.334278 0.942475i \(-0.391508\pi\)
−0.972253 + 0.233931i \(0.924841\pi\)
\(18\) −0.00292379 0.00761674i −0.000689145 0.00179528i
\(19\) 2.37604 + 0.912078i 0.545102 + 0.209245i 0.615307 0.788288i \(-0.289032\pi\)
−0.0702051 + 0.997533i \(0.522365\pi\)
\(20\) −0.370514 7.06982i −0.0828494 1.58086i
\(21\) −4.90950 + 3.97563i −1.07134 + 0.867554i
\(22\) 0.223284 + 1.05047i 0.0476042 + 0.223960i
\(23\) −0.822757 + 2.53219i −0.171557 + 0.527997i −0.999459 0.0328744i \(-0.989534\pi\)
0.827903 + 0.560872i \(0.189534\pi\)
\(24\) 0.835799 + 1.28702i 0.170607 + 0.262711i
\(25\) −7.08117 4.08832i −1.41623 0.817663i
\(26\) 0.796031 0.111387i 0.156115 0.0218447i
\(27\) 4.91123 1.59576i 0.945167 0.307103i
\(28\) 4.44953 5.49472i 0.840883 1.03840i
\(29\) 5.07200 6.98101i 0.941846 1.29634i −0.0132090 0.999913i \(-0.504205\pi\)
0.955055 0.296428i \(-0.0957953\pi\)
\(30\) 1.41015 0.257457
\(31\) −4.36467 + 3.45683i −0.783918 + 0.620865i
\(32\) −1.82934 1.82934i −0.323385 0.323385i
\(33\) 8.29129 1.31321i 1.44333 0.228601i
\(34\) −0.551516 + 0.681066i −0.0945842 + 0.116802i
\(35\) −4.06654 12.5155i −0.687371 2.11551i
\(36\) 0.0618132 0.0356879i 0.0103022 0.00594798i
\(37\) −1.11568 + 0.298947i −0.183417 + 0.0491465i −0.349358 0.936989i \(-0.613600\pi\)
0.165941 + 0.986136i \(0.446934\pi\)
\(38\) 0.117964 0.554979i 0.0191363 0.0900294i
\(39\) −0.543831 6.25939i −0.0870827 1.00231i
\(40\) −3.12684 + 0.664631i −0.494397 + 0.105087i
\(41\) 1.45700 1.17985i 0.227544 0.184262i −0.508768 0.860904i \(-0.669899\pi\)
0.736312 + 0.676642i \(0.236565\pi\)
\(42\) 1.04659 + 0.942355i 0.161493 + 0.145409i
\(43\) 8.13363 3.62133i 1.24037 0.552247i 0.321536 0.946897i \(-0.395801\pi\)
0.918831 + 0.394650i \(0.129134\pi\)
\(44\) −8.77127 + 3.36697i −1.32232 + 0.507590i
\(45\) 0.00695266 0.132665i 0.00103644 0.0197765i
\(46\) 0.586244 + 0.0928519i 0.0864369 + 0.0136903i
\(47\) −0.685868 + 4.33040i −0.100044 + 0.631654i 0.885810 + 0.464048i \(0.153604\pi\)
−0.985854 + 0.167606i \(0.946396\pi\)
\(48\) −4.79702 + 4.31925i −0.692390 + 0.623430i
\(49\) 2.49843 5.61156i 0.356918 0.801651i
\(50\) −0.653240 + 1.70175i −0.0923821 + 0.240664i
\(51\) 5.09078 + 4.58376i 0.712852 + 0.641855i
\(52\) 2.05189 + 6.72589i 0.284545 + 0.932713i
\(53\) 1.60742 + 7.56232i 0.220796 + 1.03876i 0.939262 + 0.343202i \(0.111511\pi\)
−0.718466 + 0.695563i \(0.755155\pi\)
\(54\) −0.522637 1.02573i −0.0711219 0.139585i
\(55\) −3.63572 + 17.1047i −0.490240 + 2.30640i
\(56\) −2.76485 1.59628i −0.369468 0.213312i
\(57\) −4.28391 1.14787i −0.567417 0.152039i
\(58\) −1.71400 0.873326i −0.225059 0.114673i
\(59\) 4.82139 + 3.90428i 0.627691 + 0.508294i 0.889565 0.456808i \(-0.151007\pi\)
−0.261874 + 0.965102i \(0.584341\pi\)
\(60\) 1.92988 + 12.1848i 0.249146 + 1.57305i
\(61\) 12.0332i 1.54069i −0.637626 0.770346i \(-0.720084\pi\)
0.637626 0.770346i \(-0.279916\pi\)
\(62\) 0.913358 + 0.840484i 0.115997 + 0.106742i
\(63\) 0.0938155 0.0938155i 0.0118196 0.0118196i
\(64\) 4.01565 5.52706i 0.501956 0.690883i
\(65\) 12.5788 + 3.61512i 1.56021 + 0.448400i
\(66\) −0.578301 1.77983i −0.0711839 0.219082i
\(67\) −1.31049 + 4.89081i −0.160102 + 0.597508i 0.838513 + 0.544882i \(0.183426\pi\)
−0.998614 + 0.0526256i \(0.983241\pi\)
\(68\) −6.63972 3.83344i −0.805184 0.464873i
\(69\) 0.964632 4.53824i 0.116128 0.546340i
\(70\) −2.61393 + 1.33186i −0.312424 + 0.159188i
\(71\) 3.88669 + 2.52404i 0.461265 + 0.299549i 0.754273 0.656561i \(-0.227990\pi\)
−0.293008 + 0.956110i \(0.594656\pi\)
\(72\) −0.0202824 0.0250467i −0.00239031 0.00295178i
\(73\) −7.70478 + 0.403790i −0.901776 + 0.0472601i −0.497586 0.867415i \(-0.665780\pi\)
−0.404190 + 0.914675i \(0.632447\pi\)
\(74\) 0.104732 + 0.235232i 0.0121749 + 0.0273452i
\(75\) 13.0166 + 5.79537i 1.50303 + 0.669192i
\(76\) 4.95689 + 0.259779i 0.568594 + 0.0297987i
\(77\) −14.1289 + 10.2652i −1.61013 + 1.16983i
\(78\) −1.35926 + 0.338034i −0.153906 + 0.0382748i
\(79\) 11.5871 10.4330i 1.30365 1.17381i 0.330451 0.943823i \(-0.392799\pi\)
0.973194 0.229984i \(-0.0738674\pi\)
\(80\) −4.81876 12.5533i −0.538754 1.40350i
\(81\) −8.32099 + 3.70474i −0.924554 + 0.411638i
\(82\) −0.310598 0.279663i −0.0342998 0.0308837i
\(83\) 5.83116 + 7.20089i 0.640053 + 0.790400i 0.989185 0.146674i \(-0.0468567\pi\)
−0.349132 + 0.937074i \(0.613523\pi\)
\(84\) −6.71035 + 10.3330i −0.732159 + 1.12743i
\(85\) −12.7145 + 6.47838i −1.37908 + 0.702679i
\(86\) −1.08102 1.66462i −0.116569 0.179501i
\(87\) −7.51837 + 13.0222i −0.806054 + 1.39613i
\(88\) 2.12118 + 3.67400i 0.226119 + 0.391649i
\(89\) 1.69315 3.32299i 0.179473 0.352236i −0.783691 0.621151i \(-0.786665\pi\)
0.963164 + 0.268915i \(0.0866652\pi\)
\(90\) −0.0294533 + 0.00309567i −0.00310465 + 0.000326312i
\(91\) 6.91996 + 11.0891i 0.725409 + 1.16245i
\(92\) 5.19267i 0.541374i
\(93\) 6.93447 6.78584i 0.719071 0.703659i
\(94\) 0.977411 0.100812
\(95\) 5.43030 7.47416i 0.557137 0.766833i
\(96\) 3.50353 + 2.83710i 0.357578 + 0.289561i
\(97\) −1.82093 + 3.57377i −0.184887 + 0.362861i −0.964783 0.263048i \(-0.915272\pi\)
0.779896 + 0.625910i \(0.215272\pi\)
\(98\) −1.32271 0.354420i −0.133614 0.0358019i
\(99\) −0.170295 + 0.0456303i −0.0171153 + 0.00458602i
\(100\) −15.5984 3.31555i −1.55984 0.331555i
\(101\) −6.86788 2.23151i −0.683380 0.222044i −0.0533053 0.998578i \(-0.516976\pi\)
−0.630075 + 0.776535i \(0.716976\pi\)
\(102\) 0.831742 1.28077i 0.0823548 0.126815i
\(103\) −6.32933 0.665240i −0.623648 0.0655480i −0.212566 0.977147i \(-0.568182\pi\)
−0.411081 + 0.911599i \(0.634849\pi\)
\(104\) 2.85469 1.39020i 0.279925 0.136320i
\(105\) 9.32717 + 20.9492i 0.910239 + 2.04443i
\(106\) 1.60906 0.617659i 0.156285 0.0599923i
\(107\) 7.78669 + 8.64799i 0.752768 + 0.836033i 0.990816 0.135220i \(-0.0431742\pi\)
−0.238048 + 0.971253i \(0.576508\pi\)
\(108\) 8.14786 5.91977i 0.784029 0.569630i
\(109\) 8.75118 + 1.38605i 0.838211 + 0.132760i 0.560758 0.827980i \(-0.310510\pi\)
0.277453 + 0.960739i \(0.410510\pi\)
\(110\) 3.89300 + 0.204023i 0.371183 + 0.0194529i
\(111\) 1.87907 0.721307i 0.178353 0.0684634i
\(112\) 4.81254 12.5371i 0.454742 1.18464i
\(113\) 6.97079 7.74184i 0.655756 0.728291i −0.319935 0.947439i \(-0.603661\pi\)
0.975692 + 0.219148i \(0.0703278\pi\)
\(114\) −0.103348 + 0.983286i −0.00967938 + 0.0920932i
\(115\) 8.10556 + 5.26381i 0.755847 + 0.490853i
\(116\) 5.20049 16.0055i 0.482854 1.48607i
\(117\) 0.0250999 + 0.129544i 0.00232049 + 0.0119764i
\(118\) 0.691526 1.19776i 0.0636601 0.110263i
\(119\) −13.7658 3.68854i −1.26191 0.338128i
\(120\) 5.29787 1.72138i 0.483627 0.157140i
\(121\) 12.1400 1.27597i 1.10364 0.115997i
\(122\) −2.64954 + 0.419645i −0.239878 + 0.0379929i
\(123\) −2.31012 + 2.31012i −0.208296 + 0.208296i
\(124\) −6.01244 + 9.04237i −0.539933 + 0.812029i
\(125\) −8.15370 + 8.15370i −0.729289 + 0.729289i
\(126\) −0.0239285 0.0173851i −0.00213172 0.00154879i
\(127\) 1.59274 + 15.1539i 0.141333 + 1.34470i 0.803485 + 0.595325i \(0.202977\pi\)
−0.662152 + 0.749370i \(0.730356\pi\)
\(128\) −5.96723 3.04046i −0.527434 0.268741i
\(129\) −13.4363 + 7.75743i −1.18300 + 0.683004i
\(130\) 0.357323 2.89575i 0.0313393 0.253974i
\(131\) −13.3291 2.83318i −1.16456 0.247536i −0.415223 0.909720i \(-0.636297\pi\)
−0.749342 + 0.662184i \(0.769630\pi\)
\(132\) 14.5876 7.43277i 1.26969 0.646940i
\(133\) 9.02502 1.91833i 0.782568 0.166340i
\(134\) 1.12259 + 0.117989i 0.0969769 + 0.0101927i
\(135\) −0.981040 18.7194i −0.0844345 1.61111i
\(136\) −1.24064 + 3.23198i −0.106384 + 0.277140i
\(137\) −0.257617 0.671115i −0.0220097 0.0573373i 0.922135 0.386868i \(-0.126443\pi\)
−0.944145 + 0.329530i \(0.893110\pi\)
\(138\) −1.03290 0.0541318i −0.0879259 0.00460800i
\(139\) 7.69876 + 10.5964i 0.653001 + 0.898778i 0.999225 0.0393736i \(-0.0125362\pi\)
−0.346224 + 0.938152i \(0.612536\pi\)
\(140\) −15.0856 20.7636i −1.27497 1.75484i
\(141\) 0.399854 7.62967i 0.0336738 0.642534i
\(142\) 0.420214 0.943816i 0.0352636 0.0792033i
\(143\) −0.595732 17.3590i −0.0498176 1.45163i
\(144\) 0.0907117 0.100746i 0.00755931 0.00839547i
\(145\) −19.7122 24.3425i −1.63701 2.02153i
\(146\) 0.357605 + 1.68240i 0.0295956 + 0.139236i
\(147\) −3.30772 + 10.1801i −0.272816 + 0.839643i
\(148\) −1.88926 + 1.22690i −0.155296 + 0.100850i
\(149\) 19.7362 5.28831i 1.61686 0.433235i 0.666781 0.745254i \(-0.267672\pi\)
0.950076 + 0.312019i \(0.101005\pi\)
\(150\) 0.822117 3.06818i 0.0671256 0.250516i
\(151\) −1.44140 + 2.82890i −0.117299 + 0.230213i −0.942190 0.335080i \(-0.891237\pi\)
0.824891 + 0.565293i \(0.191237\pi\)
\(152\) −0.234281 2.22903i −0.0190027 0.180798i
\(153\) −0.116392 0.0845638i −0.00940974 0.00683658i
\(154\) 2.75298 + 2.75298i 0.221842 + 0.221842i
\(155\) 8.01997 + 18.5514i 0.644180 + 1.49009i
\(156\) −4.78111 11.2825i −0.382795 0.903320i
\(157\) 14.8047 + 10.7563i 1.18155 + 0.858443i 0.992345 0.123496i \(-0.0394105\pi\)
0.189200 + 0.981939i \(0.439410\pi\)
\(158\) −2.70129 2.18746i −0.214903 0.174025i
\(159\) −4.16319 12.8130i −0.330163 1.01614i
\(160\) −8.13285 + 4.69550i −0.642958 + 0.371212i
\(161\) 2.49820 + 9.32339i 0.196885 + 0.734786i
\(162\) 1.10592 + 1.70296i 0.0868890 + 0.133797i
\(163\) 2.43435 + 4.77769i 0.190673 + 0.374217i 0.966476 0.256759i \(-0.0826546\pi\)
−0.775802 + 0.630976i \(0.782655\pi\)
\(164\) 1.99144 3.06654i 0.155505 0.239457i
\(165\) 3.18522 30.3053i 0.247969 2.35927i
\(166\) 1.38218 1.53506i 0.107278 0.119144i
\(167\) −7.18065 2.75639i −0.555656 0.213296i 0.0643034 0.997930i \(-0.479517\pi\)
−0.619959 + 0.784634i \(0.712851\pi\)
\(168\) 5.08234 + 2.26281i 0.392111 + 0.174579i
\(169\) −12.9915 0.469328i −0.999348 0.0361021i
\(170\) 1.86985 + 2.57363i 0.143411 + 0.197388i
\(171\) 0.0919965 + 0.0145708i 0.00703515 + 0.00111426i
\(172\) 12.9042 11.6190i 0.983933 0.885937i
\(173\) −7.95366 + 17.8642i −0.604706 + 1.35819i 0.308707 + 0.951157i \(0.400104\pi\)
−0.913413 + 0.407034i \(0.866563\pi\)
\(174\) 3.12950 + 1.20130i 0.237247 + 0.0910705i
\(175\) −29.6019 + 1.55137i −2.23769 + 0.117273i
\(176\) −13.8680 + 11.2301i −1.04534 + 0.846502i
\(177\) −9.06681 5.88805i −0.681503 0.442573i
\(178\) −0.790721 0.256921i −0.0592671 0.0192570i
\(179\) 12.2816 + 2.61054i 0.917971 + 0.195121i 0.642586 0.766213i \(-0.277861\pi\)
0.275385 + 0.961334i \(0.411195\pi\)
\(180\) −0.0670577 0.250263i −0.00499819 0.0186535i
\(181\) −8.32837 14.4252i −0.619043 1.07221i −0.989661 0.143428i \(-0.954187\pi\)
0.370618 0.928785i \(-0.379146\pi\)
\(182\) 2.20033 1.91040i 0.163100 0.141608i
\(183\) 2.19184 + 20.8540i 0.162025 + 1.54157i
\(184\) 2.31584 0.366793i 0.170726 0.0270403i
\(185\) 4.19276i 0.308258i
\(186\) −1.73598 1.29022i −0.127288 0.0946037i
\(187\) 13.3909 + 13.3909i 0.979242 + 0.979242i
\(188\) 1.33765 + 8.44559i 0.0975581 + 0.615958i
\(189\) 11.7814 14.5488i 0.856971 1.05827i
\(190\) −1.83508 0.935020i −0.133131 0.0678335i
\(191\) 4.98197 + 8.62902i 0.360483 + 0.624374i 0.988040 0.154196i \(-0.0492787\pi\)
−0.627558 + 0.778570i \(0.715945\pi\)
\(192\) −5.95251 + 10.3101i −0.429586 + 0.744064i
\(193\) −8.38824 + 5.44738i −0.603799 + 0.392111i −0.810027 0.586393i \(-0.800548\pi\)
0.206229 + 0.978504i \(0.433881\pi\)
\(194\) 0.850395 + 0.276310i 0.0610548 + 0.0198379i
\(195\) −22.4581 3.97390i −1.60826 0.284577i
\(196\) 1.25225 11.9143i 0.0894462 0.851023i
\(197\) 0.0375906 + 0.717271i 0.00267822 + 0.0511035i 0.999642 0.0267671i \(-0.00852125\pi\)
−0.996963 + 0.0778706i \(0.975188\pi\)
\(198\) 0.0159860 + 0.0359051i 0.00113608 + 0.00255167i
\(199\) −5.26524 2.34424i −0.373243 0.166178i 0.211538 0.977370i \(-0.432153\pi\)
−0.584781 + 0.811191i \(0.698819\pi\)
\(200\) −0.376855 + 7.19082i −0.0266477 + 0.508468i
\(201\) 1.38027 8.71467i 0.0973566 0.614685i
\(202\) −0.251836 + 1.59003i −0.0177191 + 0.111874i
\(203\) 1.63720 31.2396i 0.114909 2.19259i
\(204\) 12.2051 + 5.43408i 0.854531 + 0.380462i
\(205\) −2.76803 6.21710i −0.193328 0.434221i
\(206\) 0.0742528 + 1.41683i 0.00517344 + 0.0987151i
\(207\) −0.0101853 + 0.0969063i −0.000707925 + 0.00673546i
\(208\) 7.65409 + 10.9452i 0.530716 + 0.758912i
\(209\) −11.6605 3.78873i −0.806575 0.262072i
\(210\) 4.28743 2.78429i 0.295861 0.192134i
\(211\) −7.39509 + 12.8087i −0.509099 + 0.881785i 0.490846 + 0.871247i \(0.336688\pi\)
−0.999944 + 0.0105384i \(0.996645\pi\)
\(212\) 7.53915 + 13.0582i 0.517791 + 0.896840i
\(213\) −7.19553 3.66630i −0.493029 0.251211i
\(214\) 1.63261 2.01611i 0.111603 0.137818i
\(215\) −5.05579 31.9210i −0.344802 2.17699i
\(216\) −3.21565 3.21565i −0.218797 0.218797i
\(217\) −6.44499 + 19.1281i −0.437515 + 1.29850i
\(218\) 1.97522i 0.133779i
\(219\) 13.2791 2.10321i 0.897320 0.142122i
\(220\) 3.56490 + 33.9178i 0.240346 + 2.28673i
\(221\) 10.7028 9.29247i 0.719946 0.625079i
\(222\) −0.224352 0.388589i −0.0150575 0.0260804i
\(223\) −3.13014 11.6819i −0.209610 0.782275i −0.987995 0.154488i \(-0.950627\pi\)
0.778385 0.627788i \(-0.216039\pi\)
\(224\) −9.17393 1.94998i −0.612959 0.130288i
\(225\) −0.284596 0.0924710i −0.0189731 0.00616473i
\(226\) −1.94774 1.26488i −0.129562 0.0841384i
\(227\) 5.03543 4.07761i 0.334213 0.270641i −0.447493 0.894287i \(-0.647683\pi\)
0.781706 + 0.623647i \(0.214350\pi\)
\(228\) −8.63779 + 0.452687i −0.572052 + 0.0299800i
\(229\) −15.0684 5.78424i −0.995751 0.382233i −0.194722 0.980858i \(-0.562380\pi\)
−0.801029 + 0.598625i \(0.795714\pi\)
\(230\) 0.876343 1.96830i 0.0577843 0.129786i
\(231\) 22.6160 20.3636i 1.48803 1.33982i
\(232\) −7.50550 1.18875i −0.492760 0.0780456i
\(233\) 14.5793 + 20.0667i 0.955125 + 1.31462i 0.949213 + 0.314634i \(0.101882\pi\)
0.00591169 + 0.999983i \(0.498118\pi\)
\(234\) 0.0276484 0.0100444i 0.00180743 0.000656620i
\(235\) 14.5392 + 6.47327i 0.948433 + 0.422269i
\(236\) 11.2960 + 4.33611i 0.735304 + 0.282257i
\(237\) −18.1804 + 20.1914i −1.18095 + 1.31157i
\(238\) −0.332095 + 3.15967i −0.0215265 + 0.204811i
\(239\) −3.42955 + 5.28105i −0.221839 + 0.341603i −0.932014 0.362423i \(-0.881949\pi\)
0.710174 + 0.704026i \(0.248616\pi\)
\(240\) 10.6377 + 20.8776i 0.686659 + 1.34764i
\(241\) 4.92103 + 7.57772i 0.316991 + 0.488124i 0.960868 0.277005i \(-0.0893419\pi\)
−0.643877 + 0.765129i \(0.722675\pi\)
\(242\) −0.704322 2.62856i −0.0452755 0.168971i
\(243\) 0.329357 0.190154i 0.0211283 0.0121984i
\(244\) −7.25212 22.3197i −0.464269 1.42887i
\(245\) −17.3284 14.0323i −1.10707 0.896488i
\(246\) 0.589218 + 0.428092i 0.0375672 + 0.0272941i
\(247\) −3.44268 + 8.50618i −0.219052 + 0.541235i
\(248\) 4.45744 + 2.04272i 0.283047 + 0.129713i
\(249\) −11.4173 11.4173i −0.723540 0.723540i
\(250\) 2.07968 + 1.51098i 0.131530 + 0.0955625i
\(251\) −1.96930 18.7366i −0.124301 1.18264i −0.861783 0.507277i \(-0.830652\pi\)
0.737482 0.675367i \(-0.236015\pi\)
\(252\) 0.117473 0.230554i 0.00740010 0.0145235i
\(253\) 3.31966 12.3892i 0.208705 0.778900i
\(254\) 3.28114 0.879178i 0.205877 0.0551645i
\(255\) 20.8547 13.5432i 1.30597 0.848109i
\(256\) 3.76094 11.5750i 0.235059 0.723436i
\(257\) −4.13090 19.4344i −0.257679 1.21228i −0.896541 0.442961i \(-0.853928\pi\)
0.638862 0.769321i \(-0.279405\pi\)
\(258\) 2.17665 + 2.68794i 0.135512 + 0.167344i
\(259\) −2.80188 + 3.11180i −0.174100 + 0.193358i
\(260\) 25.5106 0.875481i 1.58210 0.0542950i
\(261\) 0.128446 0.288496i 0.00795064 0.0178574i
\(262\) −0.158988 + 3.03367i −0.00982231 + 0.187421i
\(263\) −1.23996 1.70666i −0.0764593 0.105237i 0.769074 0.639159i \(-0.220718\pi\)
−0.845534 + 0.533922i \(0.820718\pi\)
\(264\) −4.34531 5.98080i −0.267435 0.368093i
\(265\) 28.0257 + 1.46877i 1.72161 + 0.0902256i
\(266\) −0.737126 1.92028i −0.0451961 0.117740i
\(267\) −2.32901 + 6.06727i −0.142533 + 0.371311i
\(268\) 0.516820 + 9.86151i 0.0315698 + 0.602388i
\(269\) 11.5596 + 1.21496i 0.704802 + 0.0740777i 0.450147 0.892954i \(-0.351371\pi\)
0.254655 + 0.967032i \(0.418038\pi\)
\(270\) −4.08752 + 0.868829i −0.248759 + 0.0528753i
\(271\) −0.587874 + 0.299537i −0.0357108 + 0.0181956i −0.471755 0.881730i \(-0.656379\pi\)
0.436044 + 0.899925i \(0.356379\pi\)
\(272\) −14.2438 3.02761i −0.863657 0.183576i
\(273\) −14.0124 17.9574i −0.848071 1.08683i
\(274\) −0.138786 + 0.0801280i −0.00838436 + 0.00484071i
\(275\) 35.0965 + 17.8826i 2.11640 + 1.07836i
\(276\) −0.945844 8.99910i −0.0569331 0.541682i
\(277\) −19.9841 14.5193i −1.20073 0.872382i −0.206374 0.978473i \(-0.566166\pi\)
−0.994356 + 0.106091i \(0.966166\pi\)
\(278\) 2.06470 2.06470i 0.123832 0.123832i
\(279\) −0.129941 + 0.156957i −0.00777938 + 0.00939675i
\(280\) −8.19460 + 8.19460i −0.489721 + 0.489721i
\(281\) −30.1101 + 4.76897i −1.79622 + 0.284493i −0.963207 0.268762i \(-0.913385\pi\)
−0.833012 + 0.553255i \(0.813385\pi\)
\(282\) −1.69389 + 0.178035i −0.100870 + 0.0106018i
\(283\) 20.9971 6.82237i 1.24815 0.405548i 0.390891 0.920437i \(-0.372167\pi\)
0.857257 + 0.514889i \(0.172167\pi\)
\(284\) 8.73039 + 2.33930i 0.518053 + 0.138812i
\(285\) −8.04949 + 13.9421i −0.476811 + 0.825861i
\(286\) −3.80143 + 0.736549i −0.224783 + 0.0435531i
\(287\) 2.10029 6.46402i 0.123976 0.381559i
\(288\) −0.0794054 0.0515665i −0.00467901 0.00303858i
\(289\) 0.161624 1.53775i 0.00950732 0.0904561i
\(290\) −4.67243 + 5.18926i −0.274374 + 0.304724i
\(291\) 2.50477 6.52515i 0.146832 0.382511i
\(292\) −14.0478 + 5.39246i −0.822088 + 0.315570i
\(293\) −27.7543 1.45454i −1.62143 0.0849753i −0.780154 0.625587i \(-0.784859\pi\)
−0.841272 + 0.540612i \(0.818193\pi\)
\(294\) 2.35687 + 0.373292i 0.137456 + 0.0217708i
\(295\) 18.2192 13.2370i 1.06076 0.770689i
\(296\) 0.680625 + 0.755910i 0.0395605 + 0.0439364i
\(297\) −23.2244 + 8.91502i −1.34762 + 0.517302i
\(298\) −1.85269 4.16121i −0.107324 0.241053i
\(299\) −9.07488 3.13084i −0.524814 0.181061i
\(300\) 27.6366 + 2.90472i 1.59560 + 0.167704i
\(301\) 17.5794 27.0699i 1.01326 1.56028i
\(302\) 0.673151 + 0.218720i 0.0387355 + 0.0125859i
\(303\) 12.3088 + 2.61631i 0.707120 + 0.150303i
\(304\) 9.10648 2.44007i 0.522293 0.139948i
\(305\) −42.1917 11.3052i −2.41589 0.647335i
\(306\) −0.0145607 + 0.0285769i −0.000832379 + 0.00163364i
\(307\) 8.46209 + 6.85246i 0.482957 + 0.391091i 0.839647 0.543132i \(-0.182762\pi\)
−0.356691 + 0.934223i \(0.616095\pi\)
\(308\) −20.0203 + 27.5556i −1.14076 + 1.57012i
\(309\) 11.0901 0.630896
\(310\) 3.80507 2.41285i 0.216114 0.137040i
\(311\) 21.6668i 1.22861i −0.789067 0.614307i \(-0.789436\pi\)
0.789067 0.614307i \(-0.210564\pi\)
\(312\) −4.69406 + 2.92925i −0.265749 + 0.165836i
\(313\) 10.1577 1.06761i 0.574146 0.0603452i 0.186994 0.982361i \(-0.440126\pi\)
0.387152 + 0.922016i \(0.373459\pi\)
\(314\) 1.85207 3.63490i 0.104519 0.205129i
\(315\) −0.240803 0.417083i −0.0135677 0.0235000i
\(316\) 15.2045 26.3349i 0.855318 1.48145i
\(317\) 4.10707 + 6.32433i 0.230676 + 0.355210i 0.934987 0.354682i \(-0.115411\pi\)
−0.704311 + 0.709891i \(0.748744\pi\)
\(318\) −2.67605 + 1.36352i −0.150065 + 0.0764621i
\(319\) −22.6401 + 34.8627i −1.26760 + 1.95193i
\(320\) −15.6067 19.2727i −0.872441 1.07737i
\(321\) −15.0699 13.5690i −0.841117 0.757345i
\(322\) 1.96576 0.875211i 0.109547 0.0487736i
\(323\) −3.58550 9.34054i −0.199502 0.519721i
\(324\) −13.2014 + 11.8866i −0.733411 + 0.660366i
\(325\) 15.1992 25.2612i 0.843099 1.40124i
\(326\) 0.967082 0.702626i 0.0535617 0.0389149i
\(327\) −15.4186 0.808054i −0.852650 0.0446855i
\(328\) −1.50829 0.671534i −0.0832814 0.0370793i
\(329\) 6.46491 + 14.5204i 0.356422 + 0.800536i
\(330\) −6.78388 + 0.355528i −0.373440 + 0.0195712i
\(331\) 15.9624 + 19.7119i 0.877371 + 1.08346i 0.995895 + 0.0905118i \(0.0288503\pi\)
−0.118524 + 0.992951i \(0.537816\pi\)
\(332\) 15.1557 + 9.84224i 0.831779 + 0.540163i
\(333\) −0.0376640 + 0.0191908i −0.00206398 + 0.00105165i
\(334\) −0.356501 + 1.67720i −0.0195068 + 0.0917725i
\(335\) 15.9173 + 9.18987i 0.869657 + 0.502096i
\(336\) −6.05668 + 22.6038i −0.330419 + 1.23314i
\(337\) −4.02024 12.3730i −0.218996 0.674002i −0.998846 0.0480345i \(-0.984704\pi\)
0.779849 0.625967i \(-0.215296\pi\)
\(338\) 0.349727 + 2.87691i 0.0190226 + 0.156484i
\(339\) −10.6705 + 14.6866i −0.579540 + 0.797668i
\(340\) −19.6792 + 19.6792i −1.06725 + 1.06725i
\(341\) 20.1258 17.7304i 1.08987 0.960154i
\(342\) 0.0207644i 0.00112281i
\(343\) 0.486238 + 3.06999i 0.0262544 + 0.165764i
\(344\) −6.09335 4.93430i −0.328532 0.266040i
\(345\) −15.0060 7.64596i −0.807898 0.411645i
\(346\) 4.21082 + 1.12829i 0.226375 + 0.0606570i
\(347\) 3.47045 + 2.00367i 0.186304 + 0.107562i 0.590251 0.807220i \(-0.299029\pi\)
−0.403947 + 0.914782i \(0.632362\pi\)
\(348\) −6.09726 + 28.6854i −0.326847 + 1.53770i
\(349\) 7.75959 + 15.2291i 0.415361 + 0.815193i 0.999992 + 0.00389331i \(0.00123928\pi\)
−0.584631 + 0.811299i \(0.698761\pi\)
\(350\) 1.37393 + 6.46382i 0.0734395 + 0.345505i
\(351\) 5.43295 + 17.8087i 0.289989 + 0.950558i
\(352\) 9.26173 + 8.33930i 0.493652 + 0.444486i
\(353\) −11.4075 + 29.7176i −0.607162 + 1.58171i 0.192524 + 0.981292i \(0.438333\pi\)
−0.799686 + 0.600418i \(0.795001\pi\)
\(354\) −0.980269 + 2.20172i −0.0521007 + 0.117020i
\(355\) 12.5015 11.2564i 0.663513 0.597430i
\(356\) 1.13784 7.18406i 0.0603056 0.380754i
\(357\) 24.5285 + 3.88494i 1.29819 + 0.205613i
\(358\) 0.146494 2.79527i 0.00774246 0.147735i
\(359\) −9.45689 + 3.63016i −0.499115 + 0.191592i −0.594885 0.803811i \(-0.702802\pi\)
0.0957692 + 0.995404i \(0.469469\pi\)
\(360\) −0.106876 + 0.0475843i −0.00563286 + 0.00250791i
\(361\) −9.30605 8.37921i −0.489792 0.441011i
\(362\) −2.88577 + 2.33685i −0.151673 + 0.122822i
\(363\) −20.8067 + 4.42261i −1.09207 + 0.232127i
\(364\) 19.5186 + 16.3981i 1.02305 + 0.859493i
\(365\) −5.82287 + 27.3944i −0.304783 + 1.43389i
\(366\) 4.51531 1.20987i 0.236019 0.0632411i
\(367\) −29.1027 + 16.8025i −1.51915 + 0.877081i −0.519403 + 0.854529i \(0.673846\pi\)
−0.999746 + 0.0225516i \(0.992821\pi\)
\(368\) 3.04772 + 9.37993i 0.158874 + 0.488963i
\(369\) 0.0431793 0.0533220i 0.00224783 0.00277583i
\(370\) 0.923185 0.146218i 0.0479941 0.00760152i
\(371\) 19.8188 + 19.8188i 1.02894 + 1.02894i
\(372\) 8.77273 16.7659i 0.454845 0.869273i
\(373\) 9.65384 0.499857 0.249928 0.968264i \(-0.419593\pi\)
0.249928 + 0.968264i \(0.419593\pi\)
\(374\) 2.48150 3.41549i 0.128315 0.176611i
\(375\) 12.6455 15.6159i 0.653009 0.806399i
\(376\) 3.67209 1.19314i 0.189374 0.0615313i
\(377\) 24.8361 + 18.7388i 1.27912 + 0.965097i
\(378\) −3.61431 2.08672i −0.185900 0.107329i
\(379\) −3.91401 6.02705i −0.201049 0.309589i 0.723737 0.690076i \(-0.242423\pi\)
−0.924786 + 0.380487i \(0.875756\pi\)
\(380\) 5.56787 17.1361i 0.285626 0.879066i
\(381\) −5.52057 25.9722i −0.282827 1.33060i
\(382\) 1.72625 1.39789i 0.0883224 0.0715221i
\(383\) 0.0209813 + 0.400346i 0.00107209 + 0.0204567i 0.999113 0.0421048i \(-0.0134064\pi\)
−0.998041 + 0.0625616i \(0.980073\pi\)
\(384\) 10.8953 + 4.18230i 0.555996 + 0.213427i
\(385\) 22.7186 + 59.1839i 1.15785 + 3.01629i
\(386\) 1.49197 + 1.65700i 0.0759391 + 0.0843390i
\(387\) 0.263609 0.191523i 0.0134000 0.00973568i
\(388\) −1.22371 + 7.72622i −0.0621246 + 0.392239i
\(389\) 12.6588 + 14.0590i 0.641825 + 0.712818i 0.973014 0.230746i \(-0.0741166\pi\)
−0.331189 + 0.943564i \(0.607450\pi\)
\(390\) −0.0917932 + 5.08354i −0.00464813 + 0.257415i
\(391\) 9.56174 4.25716i 0.483558 0.215294i
\(392\) −5.40203 + 0.283108i −0.272844 + 0.0142991i
\(393\) 23.6158 + 2.48212i 1.19126 + 0.125206i
\(394\) 0.156622 0.0332910i 0.00789050 0.00167718i
\(395\) −25.6950 50.4293i −1.29286 2.53737i
\(396\) −0.288370 + 0.187270i −0.0144912 + 0.00941066i
\(397\) 0.733952 + 2.73914i 0.0368360 + 0.137474i 0.981895 0.189426i \(-0.0606627\pi\)
−0.945059 + 0.326900i \(0.893996\pi\)
\(398\) −0.332547 + 1.24108i −0.0166691 + 0.0622099i
\(399\) −15.2913 + 4.96843i −0.765521 + 0.248733i
\(400\) −30.1226 + 3.16602i −1.50613 + 0.158301i
\(401\) 0.569795 + 3.59754i 0.0284542 + 0.179653i 0.997822 0.0659598i \(-0.0210109\pi\)
−0.969368 + 0.245613i \(0.921011\pi\)
\(402\) −1.96698 −0.0981041
\(403\) −12.1776 15.9595i −0.606611 0.794999i
\(404\) −14.0838 −0.700693
\(405\) 5.17225 + 32.6563i 0.257011 + 1.62270i
\(406\) −6.93561 + 0.728962i −0.344209 + 0.0361778i
\(407\) 5.29191 1.71945i 0.262310 0.0852297i
\(408\) 1.56137 5.82712i 0.0772995 0.288486i
\(409\) 4.73268 + 17.6626i 0.234016 + 0.873360i 0.978590 + 0.205820i \(0.0659862\pi\)
−0.744574 + 0.667540i \(0.767347\pi\)
\(410\) −1.27238 + 0.826296i −0.0628386 + 0.0408079i
\(411\) 0.568703 + 1.11614i 0.0280521 + 0.0550553i
\(412\) −12.1409 + 2.58062i −0.598138 + 0.127138i
\(413\) 22.3679 + 2.35096i 1.10065 + 0.115683i
\(414\) 0.0216926 0.00113686i 0.00106613 5.58736e-5i
\(415\) 30.7267 13.6804i 1.50831 0.671545i
\(416\) 6.71379 6.47563i 0.329171 0.317494i
\(417\) −15.2724 16.9617i −0.747892 0.830618i
\(418\) −0.427576 + 2.69961i −0.0209134 + 0.132042i
\(419\) −4.95897 + 3.60291i −0.242262 + 0.176013i −0.702290 0.711891i \(-0.747839\pi\)
0.460029 + 0.887904i \(0.347839\pi\)
\(420\) 29.9261 + 33.2363i 1.46024 + 1.62176i
\(421\) −11.8452 30.8579i −0.577302 1.50392i −0.841938 0.539574i \(-0.818585\pi\)
0.264636 0.964348i \(-0.414748\pi\)
\(422\) 3.07818 + 1.18160i 0.149843 + 0.0575195i
\(423\) 0.00839763 + 0.160236i 0.000408307 + 0.00779096i
\(424\) 5.29118 4.28471i 0.256962 0.208084i
\(425\) 6.68299 + 31.4410i 0.324173 + 1.52511i
\(426\) −0.556331 + 1.71221i −0.0269543 + 0.0829568i
\(427\) −23.7591 36.5858i −1.14978 1.77051i
\(428\) 19.6551 + 11.3479i 0.950063 + 0.548519i
\(429\) 4.19436 + 29.9753i 0.202506 + 1.44722i
\(430\) −6.85223 + 2.22643i −0.330444 + 0.107368i
\(431\) 13.2668 16.3831i 0.639038 0.789147i −0.350009 0.936746i \(-0.613821\pi\)
0.989047 + 0.147600i \(0.0471548\pi\)
\(432\) 11.2436 15.4755i 0.540960 0.744568i
\(433\) −7.92418 −0.380812 −0.190406 0.981705i \(-0.560980\pi\)
−0.190406 + 0.981705i \(0.560980\pi\)
\(434\) 4.43649 + 0.752023i 0.212958 + 0.0360983i
\(435\) 38.5959 + 38.5959i 1.85053 + 1.85053i
\(436\) 17.0675 2.70322i 0.817383 0.129461i
\(437\) −4.26446 + 5.26617i −0.203997 + 0.251915i
\(438\) −0.926192 2.85053i −0.0442552 0.136203i
\(439\) −18.2272 + 10.5235i −0.869935 + 0.502257i −0.867327 0.497739i \(-0.834164\pi\)
−0.00260838 + 0.999997i \(0.500830\pi\)
\(440\) 14.8749 3.98572i 0.709133 0.190012i
\(441\) 0.0467391 0.219890i 0.00222567 0.0104710i
\(442\) −2.41932 2.03253i −0.115075 0.0966776i
\(443\) −26.2586 + 5.58143i −1.24758 + 0.265182i −0.783938 0.620839i \(-0.786792\pi\)
−0.463645 + 0.886021i \(0.653459\pi\)
\(444\) 3.05067 2.47038i 0.144778 0.117239i
\(445\) −10.0606 9.05860i −0.476918 0.429419i
\(446\) −2.46302 + 1.09661i −0.116627 + 0.0519258i
\(447\) −33.2404 + 12.7598i −1.57222 + 0.603517i
\(448\) 1.29622 24.7333i 0.0612405 1.16854i
\(449\) −12.7342 2.01690i −0.600965 0.0951835i −0.151463 0.988463i \(-0.548399\pi\)
−0.449502 + 0.893279i \(0.648399\pi\)
\(450\) −0.0104358 + 0.0658889i −0.000491947 + 0.00310603i
\(451\) −6.71178 + 6.04331i −0.316045 + 0.284569i
\(452\) 8.26392 18.5611i 0.388702 0.873039i
\(453\) 1.98271 5.16514i 0.0931559 0.242679i
\(454\) −1.07344 0.966527i −0.0503789 0.0453614i
\(455\) 45.3828 13.8450i 2.12758 0.649066i
\(456\) 0.812035 + 3.82032i 0.0380270 + 0.178903i
\(457\) 11.9801 + 23.5123i 0.560405 + 1.09986i 0.981253 + 0.192726i \(0.0617328\pi\)
−0.420847 + 0.907132i \(0.638267\pi\)
\(458\) −0.748109 + 3.51958i −0.0349568 + 0.164459i
\(459\) −17.5805 10.1501i −0.820589 0.473767i
\(460\) 18.2069 + 4.87854i 0.848903 + 0.227463i
\(461\) −4.00206 2.03915i −0.186395 0.0949728i 0.358303 0.933605i \(-0.383356\pi\)
−0.544697 + 0.838633i \(0.683356\pi\)
\(462\) −5.27248 4.26957i −0.245298 0.198638i
\(463\) −3.38877 21.3958i −0.157489 0.994349i −0.932176 0.362004i \(-0.882093\pi\)
0.774687 0.632345i \(-0.217907\pi\)
\(464\) 31.9642i 1.48390i
\(465\) −17.2781 30.6895i −0.801250 1.42319i
\(466\) 3.90997 3.90997i 0.181126 0.181126i
\(467\) −8.35777 + 11.5035i −0.386752 + 0.532318i −0.957357 0.288906i \(-0.906708\pi\)
0.570606 + 0.821224i \(0.306708\pi\)
\(468\) 0.124630 + 0.225157i 0.00576101 + 0.0104079i
\(469\) 5.67232 + 17.4576i 0.261923 + 0.806117i
\(470\) 0.918281 3.42707i 0.0423571 0.158079i
\(471\) −27.6164 15.9443i −1.27250 0.734676i
\(472\) 1.13592 5.34408i 0.0522850 0.245981i
\(473\) −38.2159 + 19.4720i −1.75717 + 0.895322i
\(474\) 5.07988 + 3.29891i 0.233327 + 0.151524i
\(475\) −13.0963 16.1726i −0.600900 0.742050i
\(476\) −27.7565 + 1.45466i −1.27222 + 0.0666740i
\(477\) 0.115083 + 0.258481i 0.00526930 + 0.0118350i
\(478\) 1.28241 + 0.570967i 0.0586562 + 0.0261154i
\(479\) −26.9107 1.41033i −1.22958 0.0644396i −0.573548 0.819172i \(-0.694433\pi\)
−0.656033 + 0.754733i \(0.727767\pi\)
\(480\) 13.2393 9.61888i 0.604286 0.439040i
\(481\) −1.00507 4.04146i −0.0458271 0.184275i
\(482\) 1.49689 1.34781i 0.0681815 0.0613909i
\(483\) −6.02772 15.7027i −0.274271 0.714499i
\(484\) 21.7489 9.68325i 0.988588 0.440148i
\(485\) 10.8198 + 9.74223i 0.491304 + 0.442372i
\(486\) −0.0533553 0.0658882i −0.00242024 0.00298875i
\(487\) 5.05899 7.79017i 0.229245 0.353006i −0.705265 0.708944i \(-0.749172\pi\)
0.934510 + 0.355938i \(0.115839\pi\)
\(488\) −9.44193 + 4.81091i −0.427416 + 0.217779i
\(489\) −5.08908 7.83649i −0.230136 0.354378i
\(490\) −2.48539 + 4.30482i −0.112279 + 0.194472i
\(491\) 11.6457 + 20.1709i 0.525561 + 0.910299i 0.999557 + 0.0297714i \(0.00947794\pi\)
−0.473996 + 0.880527i \(0.657189\pi\)
\(492\) −2.89266 + 5.67717i −0.130411 + 0.255947i
\(493\) −33.7359 + 3.54578i −1.51939 + 0.159694i
\(494\) 1.99300 + 0.461383i 0.0896693 + 0.0207586i
\(495\) 0.639970i 0.0287645i
\(496\) −5.55353 + 19.8628i −0.249361 + 0.891867i
\(497\) 16.8008 0.753617
\(498\) −2.11575 + 2.91208i −0.0948091 + 0.130494i
\(499\) −17.6695 14.3084i −0.790994 0.640534i 0.146235 0.989250i \(-0.453285\pi\)
−0.937229 + 0.348716i \(0.886618\pi\)
\(500\) −10.2098 + 20.0379i −0.456597 + 0.896122i
\(501\) 12.9464 + 3.46898i 0.578403 + 0.154983i
\(502\) −4.05685 + 1.08703i −0.181066 + 0.0485166i
\(503\) −26.2546 5.58058i −1.17063 0.248826i −0.418737 0.908107i \(-0.637527\pi\)
−0.751896 + 0.659282i \(0.770861\pi\)
\(504\) −0.111121 0.0361053i −0.00494971 0.00160826i
\(505\) −14.2767 + 21.9842i −0.635304 + 0.978283i
\(506\) −2.84368 0.298883i −0.126417 0.0132870i
\(507\) 22.6003 1.55304i 1.00371 0.0689729i
\(508\) 12.0872 + 27.1484i 0.536284 + 1.20451i
\(509\) −19.6975 + 7.56115i −0.873075 + 0.335142i −0.753314 0.657661i \(-0.771546\pi\)
−0.119761 + 0.992803i \(0.538213\pi\)
\(510\) −3.70931 4.11961i −0.164251 0.182419i
\(511\) −22.6284 + 16.4405i −1.00102 + 0.727286i
\(512\) −15.9093 2.51978i −0.703097 0.111360i
\(513\) 13.1248 + 0.687840i 0.579472 + 0.0303689i
\(514\) −4.13511 + 1.58732i −0.182392 + 0.0700136i
\(515\) −8.27894 + 21.5674i −0.364814 + 0.950373i
\(516\) −20.2470 + 22.4866i −0.891325 + 0.989916i
\(517\) 2.20776 21.0054i 0.0970970 0.923817i
\(518\) 0.782886 + 0.508412i 0.0343980 + 0.0223384i
\(519\) 10.5300 32.4081i 0.462217 1.42256i
\(520\) −2.19243 11.3154i −0.0961444 0.496214i
\(521\) 7.36197 12.7513i 0.322534 0.558645i −0.658476 0.752601i \(-0.728799\pi\)
0.981010 + 0.193957i \(0.0621321\pi\)
\(522\) −0.0680020 0.0182211i −0.00297637 0.000797515i
\(523\) 16.3277 5.30519i 0.713961 0.231980i 0.0705579 0.997508i \(-0.477522\pi\)
0.643403 + 0.765528i \(0.277522\pi\)
\(524\) −26.4309 + 2.77799i −1.15464 + 0.121357i
\(525\) 51.0187 8.08056i 2.22664 0.352665i
\(526\) −0.332540 + 0.332540i −0.0144994 + 0.0144994i
\(527\) 21.5798 + 3.65796i 0.940029 + 0.159343i
\(528\) 21.9883 21.9883i 0.956917 0.956917i
\(529\) 12.8724 + 9.35231i 0.559668 + 0.406622i
\(530\) −0.653968 6.22209i −0.0284066 0.270270i
\(531\) 0.202301 + 0.103078i 0.00877913 + 0.00447319i
\(532\) 15.5839 8.99737i 0.675648 0.390085i
\(533\) 4.15848 + 5.32922i 0.180124 + 0.230834i
\(534\) 1.41715 + 0.301224i 0.0613260 + 0.0130352i
\(535\) 37.6379 19.1775i 1.62723 0.829114i
\(536\) 4.36155 0.927077i 0.188390 0.0400436i
\(537\) −21.7600 2.28707i −0.939013 0.0986943i
\(538\) −0.135612 2.58763i −0.00584665 0.111561i
\(539\) −10.6045 + 27.6257i −0.456769 + 1.18992i
\(540\) −13.1014 34.1303i −0.563794 1.46873i
\(541\) −9.07174 0.475430i −0.390024 0.0204403i −0.143684 0.989624i \(-0.545895\pi\)
−0.246341 + 0.969183i \(0.579228\pi\)
\(542\) 0.0864553 + 0.118995i 0.00371357 + 0.00511129i
\(543\) 17.0609 + 23.4823i 0.732154 + 1.00772i
\(544\) −0.532264 + 10.1562i −0.0228207 + 0.435444i
\(545\) 13.0816 29.3819i 0.560356 1.25858i
\(546\) −3.46528 + 3.71158i −0.148300 + 0.158841i
\(547\) 27.8255 30.9034i 1.18973 1.32133i 0.254597 0.967047i \(-0.418057\pi\)
0.935137 0.354286i \(-0.115276\pi\)
\(548\) −0.882306 1.08956i −0.0376902 0.0465436i
\(549\) −0.0915605 0.430758i −0.00390771 0.0183843i
\(550\) 2.71353 8.35139i 0.115705 0.356104i
\(551\) 18.4185 11.9611i 0.784655 0.509561i
\(552\) −3.94663 + 1.05750i −0.167980 + 0.0450100i
\(553\) 14.6297 54.5989i 0.622120 2.32178i
\(554\) −2.50002 + 4.90657i −0.106216 + 0.208460i
\(555\) −0.763709 7.26620i −0.0324176 0.308433i
\(556\) 20.6663 + 15.0149i 0.876445 + 0.636774i
\(557\) 1.00638 + 1.00638i 0.0426416 + 0.0426416i 0.728106 0.685464i \(-0.240401\pi\)
−0.685464 + 0.728106i \(0.740401\pi\)
\(558\) 0.0390912 + 0.0231375i 0.00165486 + 0.000979489i
\(559\) 12.5253 + 29.5572i 0.529764 + 1.25014i
\(560\) −39.4371 28.6527i −1.66652 1.21080i
\(561\) −25.6461 20.7678i −1.08278 0.876819i
\(562\) 2.10012 + 6.46350i 0.0885881 + 0.272646i
\(563\) −15.5389 + 8.97137i −0.654885 + 0.378098i −0.790325 0.612687i \(-0.790089\pi\)
0.135440 + 0.990786i \(0.456755\pi\)
\(564\) −3.85656 14.3929i −0.162390 0.606049i
\(565\) −20.5959 31.7150i −0.866478 1.33426i
\(566\) −2.23444 4.38534i −0.0939205 0.184329i
\(567\) −17.9843 + 27.6934i −0.755271 + 1.16302i
\(568\) 0.426601 4.05884i 0.0178998 0.170305i
\(569\) 19.4539 21.6058i 0.815551 0.905761i −0.181431 0.983404i \(-0.558073\pi\)
0.996981 + 0.0776430i \(0.0247394\pi\)
\(570\) 3.35058 + 1.28617i 0.140340 + 0.0538715i
\(571\) −30.0226 13.3669i −1.25640 0.559387i −0.332896 0.942964i \(-0.608026\pi\)
−0.923509 + 0.383576i \(0.874692\pi\)
\(572\) −11.5669 31.8393i −0.483635 1.33127i
\(573\) −10.2057 14.0470i −0.426350 0.586820i
\(574\) −1.49653 0.237027i −0.0624640 0.00989332i
\(575\) 16.1785 14.5672i 0.674689 0.607492i
\(576\) 0.101695 0.228410i 0.00423728 0.00951709i
\(577\) 18.4780 + 7.09303i 0.769248 + 0.295286i 0.711165 0.703025i \(-0.248168\pi\)
0.0580828 + 0.998312i \(0.481501\pi\)
\(578\) −0.344228 + 0.0180402i −0.0143180 + 0.000750374i
\(579\) 13.5449 10.9684i 0.562906 0.455833i
\(580\) −51.2337 33.2716i −2.12736 1.38153i
\(581\) 31.9470 + 10.3802i 1.32539 + 0.430644i
\(582\) −1.52410 0.323957i −0.0631758 0.0134284i
\(583\) −9.63952 35.9752i −0.399228 1.48994i
\(584\) 3.39723 + 5.88418i 0.140578 + 0.243489i
\(585\) 0.477799 + 0.0336998i 0.0197545 + 0.00139332i
\(586\) 0.647635 + 6.16183i 0.0267535 + 0.254543i
\(587\) −10.5942 + 1.67796i −0.437270 + 0.0692567i −0.371189 0.928557i \(-0.621050\pi\)
−0.0660813 + 0.997814i \(0.521050\pi\)
\(588\) 20.8761i 0.860915i
\(589\) −13.5235 + 4.23266i −0.557228 + 0.174404i
\(590\) −3.54998 3.54998i −0.146150 0.146150i
\(591\) −0.195797 1.23621i −0.00805400 0.0508509i
\(592\) −2.69261 + 3.32509i −0.110666 + 0.136661i
\(593\) 12.0422 + 6.13582i 0.494515 + 0.251968i 0.683417 0.730028i \(-0.260493\pi\)
−0.188902 + 0.981996i \(0.560493\pi\)
\(594\) 2.77289 + 4.80278i 0.113773 + 0.197060i
\(595\) −25.8661 + 44.8013i −1.06041 + 1.83668i
\(596\) 33.4206 21.7036i 1.36896 0.889014i
\(597\) 9.55186 + 3.10359i 0.390932 + 0.127021i
\(598\) −0.372889 + 2.10734i −0.0152486 + 0.0861757i
\(599\) −2.02763 + 19.2916i −0.0828465 + 0.788232i 0.871674 + 0.490086i \(0.163035\pi\)
−0.954520 + 0.298146i \(0.903632\pi\)
\(600\) −0.656701 12.5306i −0.0268097 0.511560i
\(601\) 12.1734 + 27.3419i 0.496564 + 1.11530i 0.971878 + 0.235485i \(0.0756677\pi\)
−0.475314 + 0.879816i \(0.657666\pi\)
\(602\) −6.57347 2.92670i −0.267915 0.119283i
\(603\) −0.00969809 + 0.185050i −0.000394937 + 0.00753584i
\(604\) −0.968659 + 6.11588i −0.0394142 + 0.248851i
\(605\) 6.93171 43.7651i 0.281814 1.77930i
\(606\) 0.146818 2.80145i 0.00596407 0.113801i
\(607\) −25.9813 11.5676i −1.05455 0.469515i −0.195124 0.980779i \(-0.562511\pi\)
−0.859424 + 0.511263i \(0.829178\pi\)
\(608\) −2.67810 6.01510i −0.108611 0.243945i
\(609\) 2.85296 + 54.4376i 0.115608 + 2.20592i
\(610\) −1.01786 + 9.68426i −0.0412118 + 0.392104i
\(611\) −15.5663 2.75441i −0.629744 0.111432i
\(612\) −0.266854 0.0867062i −0.0107869 0.00350489i
\(613\) 18.7951 12.2057i 0.759129 0.492984i −0.106104 0.994355i \(-0.533838\pi\)
0.865232 + 0.501371i \(0.167171\pi\)
\(614\) 1.21371 2.10220i 0.0489812 0.0848380i
\(615\) 5.92955 + 10.2703i 0.239102 + 0.414137i
\(616\) 13.7034 + 6.98226i 0.552128 + 0.281323i
\(617\) 8.53485 10.5397i 0.343600 0.424311i −0.575827 0.817572i \(-0.695320\pi\)
0.919427 + 0.393261i \(0.128653\pi\)
\(618\) −0.386757 2.44189i −0.0155577 0.0982272i
\(619\) 12.2488 + 12.2488i 0.492320 + 0.492320i 0.909036 0.416717i \(-0.136819\pi\)
−0.416717 + 0.909036i \(0.636819\pi\)
\(620\) 26.0563 + 29.5766i 1.04645 + 1.18783i
\(621\) 13.7491i 0.551731i
\(622\) −4.77073 + 0.755609i −0.191289 + 0.0302971i
\(623\) −1.41326 13.4463i −0.0566212 0.538715i
\(624\) −15.2585 17.5742i −0.610828 0.703532i
\(625\) 0.487091 + 0.843667i 0.0194836 + 0.0337467i
\(626\) −0.589312 2.19934i −0.0235536 0.0879034i
\(627\) 20.8982 + 4.44205i 0.834595 + 0.177399i
\(628\) 33.9430 + 11.0288i 1.35447 + 0.440096i
\(629\) 3.80808 + 2.47300i 0.151838 + 0.0986048i
\(630\) −0.0834379 + 0.0675667i −0.00332425 + 0.00269192i
\(631\) −39.6615 + 2.07857i −1.57890 + 0.0827465i −0.821500 0.570208i \(-0.806863\pi\)
−0.757397 + 0.652954i \(0.773529\pi\)
\(632\) −12.8189 4.92071i −0.509908 0.195735i
\(633\) 10.4829 23.5449i 0.416657 0.935826i
\(634\) 1.24930 1.12487i 0.0496159 0.0446744i
\(635\) 54.6303 + 8.65259i 2.16794 + 0.343368i
\(636\) −15.4442 21.2571i −0.612401 0.842898i
\(637\) 20.0668 + 9.37202i 0.795077 + 0.371333i
\(638\) 8.46581 + 3.76922i 0.335164 + 0.149225i
\(639\) 0.158339 + 0.0607807i 0.00626380 + 0.00240445i
\(640\) −16.2669 + 18.0662i −0.643006 + 0.714131i
\(641\) 2.66265 25.3334i 0.105168 1.00061i −0.806932 0.590644i \(-0.798874\pi\)
0.912101 0.409967i \(-0.134460\pi\)
\(642\) −2.46214 + 3.79137i −0.0971731 + 0.149633i
\(643\) −15.9167 31.2383i −0.627695 1.23192i −0.957653 0.287925i \(-0.907035\pi\)
0.329958 0.943995i \(-0.392965\pi\)
\(644\) 10.2528 + 15.7879i 0.404015 + 0.622129i
\(645\) 14.5763 + 54.3994i 0.573940 + 2.14197i
\(646\) −1.93161 + 1.11522i −0.0759982 + 0.0438776i
\(647\) 11.5844 + 35.6531i 0.455429 + 1.40167i 0.870630 + 0.491938i \(0.163711\pi\)
−0.415201 + 0.909730i \(0.636289\pi\)
\(648\) 6.23371 + 5.04796i 0.244883 + 0.198303i
\(649\) −24.1789 17.5670i −0.949103 0.689564i
\(650\) −6.09222 2.46568i −0.238957 0.0967120i
\(651\) 7.68525 34.3236i 0.301209 1.34525i
\(652\) 7.39475 + 7.39475i 0.289601 + 0.289601i
\(653\) 11.2555 + 8.17763i 0.440463 + 0.320015i 0.785819 0.618457i \(-0.212242\pi\)
−0.345356 + 0.938472i \(0.612242\pi\)
\(654\) 0.359786 + 3.42313i 0.0140687 + 0.133855i
\(655\) −22.4566 + 44.0736i −0.877452 + 1.72210i
\(656\) 1.79745 6.70816i 0.0701785 0.261910i
\(657\) −0.272740 + 0.0730803i −0.0106406 + 0.00285114i
\(658\) 2.97173 1.92986i 0.115850 0.0752339i
\(659\) 3.93397 12.1075i 0.153246 0.471642i −0.844733 0.535188i \(-0.820241\pi\)
0.997979 + 0.0635458i \(0.0202409\pi\)
\(660\) −12.3562 58.1314i −0.480965 2.26276i
\(661\) −21.4235 26.4558i −0.833278 1.02901i −0.999081 0.0428536i \(-0.986355\pi\)
0.165804 0.986159i \(-0.446978\pi\)
\(662\) 3.78360 4.20212i 0.147054 0.163320i
\(663\) −16.8557 + 18.0537i −0.654620 + 0.701148i
\(664\) 3.31892 7.45441i 0.128799 0.289287i
\(665\) 1.75286 33.4465i 0.0679728 1.29700i
\(666\) 0.00553903 + 0.00762382i 0.000214633 + 0.000295417i
\(667\) 13.5042 + 18.5869i 0.522884 + 0.719688i
\(668\) −14.9802 0.785081i −0.579602 0.0303757i
\(669\) 7.55250 + 19.6749i 0.291997 + 0.760677i
\(670\) 1.46838 3.82525i 0.0567284 0.147782i
\(671\) 3.03382 + 57.8887i 0.117119 + 2.23477i
\(672\) 16.2539 + 1.70836i 0.627010 + 0.0659014i
\(673\) 12.9445 2.75144i 0.498975 0.106060i 0.0484523 0.998825i \(-0.484571\pi\)
0.450522 + 0.892765i \(0.351238\pi\)
\(674\) −2.58416 + 1.31670i −0.0995382 + 0.0507172i
\(675\) −41.3013 8.77885i −1.58969 0.337898i
\(676\) −24.3802 + 6.95916i −0.937698 + 0.267660i
\(677\) 8.79866 5.07991i 0.338160 0.195237i −0.321298 0.946978i \(-0.604119\pi\)
0.659458 + 0.751741i \(0.270786\pi\)
\(678\) 3.60591 + 1.83730i 0.138484 + 0.0705611i
\(679\) 1.51992 + 14.4611i 0.0583292 + 0.554965i
\(680\) 10.1666 + 7.38648i 0.389872 + 0.283259i
\(681\) −7.98385 + 7.98385i −0.305942 + 0.305942i
\(682\) −4.60584 3.81308i −0.176367 0.146011i
\(683\) −5.57686 + 5.57686i −0.213392 + 0.213392i −0.805707 0.592314i \(-0.798214\pi\)
0.592314 + 0.805707i \(0.298214\pi\)
\(684\) 0.179421 0.0284175i 0.00686033 0.00108657i
\(685\) −2.59515 + 0.272761i −0.0991555 + 0.0104217i
\(686\) 0.659010 0.214125i 0.0251611 0.00817535i
\(687\) 27.1678 + 7.27959i 1.03652 + 0.277734i
\(688\) 16.4903 28.5620i 0.628687 1.08892i
\(689\) −27.3665 + 5.30243i −1.04258 + 0.202006i
\(690\) −1.16021 + 3.57076i −0.0441684 + 0.135936i
\(691\) 34.4772 + 22.3897i 1.31157 + 0.851746i 0.995292 0.0969197i \(-0.0308990\pi\)
0.316281 + 0.948665i \(0.397566\pi\)
\(692\) −3.98649 + 37.9289i −0.151543 + 1.44184i
\(693\) −0.427670 + 0.474976i −0.0162458 + 0.0180428i
\(694\) 0.320150 0.834019i 0.0121527 0.0316589i
\(695\) 44.3871 17.0386i 1.68370 0.646311i
\(696\) 13.2238 + 0.693032i 0.501249 + 0.0262693i
\(697\) −7.27935 1.15294i −0.275725 0.0436706i
\(698\) 3.08261 2.23965i 0.116679 0.0847719i
\(699\) −28.9217 32.1208i −1.09392 1.21492i
\(700\) −53.9721 + 20.7179i −2.03995 + 0.783064i
\(701\) 5.60568 + 12.5906i 0.211724 + 0.475539i 0.987922 0.154949i \(-0.0495213\pi\)
−0.776199 + 0.630488i \(0.782855\pi\)
\(702\) 3.73175 1.81732i 0.140846 0.0685902i
\(703\) −2.92358 0.307280i −0.110265 0.0115893i
\(704\) −17.9248 + 27.6018i −0.675566 + 1.04028i
\(705\) −26.3761 8.57011i −0.993380 0.322769i
\(706\) 6.94123 + 1.47540i 0.261236 + 0.0555275i
\(707\) −25.2872 + 6.77569i −0.951024 + 0.254826i
\(708\) −20.3661 5.45709i −0.765406 0.205090i
\(709\) 6.69690 13.1434i 0.251507 0.493611i −0.730389 0.683032i \(-0.760661\pi\)
0.981896 + 0.189421i \(0.0606610\pi\)
\(710\) −2.91449 2.36010i −0.109379 0.0885731i
\(711\) 0.335403 0.461642i 0.0125786 0.0173129i
\(712\) −3.28433 −0.123086
\(713\) −5.16227 13.8963i −0.193329 0.520420i
\(714\) 5.53632i 0.207191i
\(715\) −61.4251 14.2200i −2.29717 0.531800i
\(716\) 24.3538 2.55969i 0.910145 0.0956601i
\(717\) 4.98160 9.77695i 0.186041 0.365127i
\(718\) 1.12911 + 1.95567i 0.0421379 + 0.0729851i
\(719\) −6.27210 + 10.8636i −0.233910 + 0.405143i −0.958955 0.283557i \(-0.908485\pi\)
0.725046 + 0.688701i \(0.241819\pi\)
\(720\) −0.268018 0.412711i −0.00998843 0.0153808i
\(721\) −20.5573 + 10.4744i −0.765592 + 0.390089i
\(722\) −1.52044 + 2.34128i −0.0565850 + 0.0871333i
\(723\) −9.90861 12.2361i −0.368505 0.455066i
\(724\) −24.1416 21.7372i −0.897214 0.807855i
\(725\) −64.4563 + 28.6978i −2.39385 + 1.06581i
\(726\) 1.69941 + 4.42711i 0.0630709 + 0.164305i
\(727\) −8.75191 + 7.88026i −0.324590 + 0.292263i −0.815274 0.579075i \(-0.803414\pi\)
0.490684 + 0.871338i \(0.336747\pi\)
\(728\) 5.93452 9.86326i 0.219948 0.365557i
\(729\) 21.5705 15.6719i 0.798908 0.580441i
\(730\) 6.23493 + 0.326759i 0.230765 + 0.0120939i
\(731\) −31.9744 14.2359i −1.18261 0.526534i
\(732\) 16.6337 + 37.3600i 0.614800 + 1.38086i
\(733\) −13.5465 + 0.709943i −0.500352 + 0.0262223i −0.300843 0.953674i \(-0.597268\pi\)
−0.199509 + 0.979896i \(0.563935\pi\)
\(734\) 4.71459 + 5.82203i 0.174019 + 0.214895i
\(735\) 32.5867 + 21.1621i 1.20198 + 0.780574i
\(736\) 6.13734 3.12713i 0.226225 0.115268i
\(737\) 5.07137 23.8589i 0.186806 0.878854i
\(738\) −0.0132466 0.00764792i −0.000487613 0.000281524i
\(739\) −3.94569 + 14.7255i −0.145145 + 0.541687i 0.854604 + 0.519280i \(0.173800\pi\)
−0.999749 + 0.0224075i \(0.992867\pi\)
\(740\) 2.52688 + 7.77692i 0.0928898 + 0.285885i
\(741\) 4.41689 15.3686i 0.162258 0.564580i
\(742\) 3.67265 5.05497i 0.134827 0.185574i
\(743\) −17.1614 + 17.1614i −0.629592 + 0.629592i −0.947965 0.318373i \(-0.896863\pi\)
0.318373 + 0.947965i \(0.396863\pi\)
\(744\) −8.09698 2.72819i −0.296850 0.100020i
\(745\) 74.1691i 2.71735i
\(746\) −0.336668 2.12564i −0.0123263 0.0778251i
\(747\) 0.263533 + 0.213405i 0.00964216 + 0.00780807i
\(748\) 32.9085 + 16.7677i 1.20326 + 0.613089i
\(749\) 40.7499 + 10.9189i 1.48897 + 0.398968i
\(750\) −3.87938 2.23976i −0.141655 0.0817846i
\(751\) −3.88368 + 18.2713i −0.141717 + 0.666728i 0.848729 + 0.528828i \(0.177368\pi\)
−0.990446 + 0.137899i \(0.955965\pi\)
\(752\) 7.37325 + 14.4708i 0.268875 + 0.527696i
\(753\) 6.82573 + 32.1125i 0.248743 + 1.17025i
\(754\) 3.25988 6.12205i 0.118718 0.222952i
\(755\) 8.56471 + 7.71170i 0.311702 + 0.280657i
\(756\) 13.0845 34.0862i 0.475878 1.23970i
\(757\) 4.24976 9.54512i 0.154460 0.346923i −0.819696 0.572799i \(-0.805858\pi\)
0.974156 + 0.225876i \(0.0725243\pi\)
\(758\) −1.19057 + 1.07200i −0.0432436 + 0.0389367i
\(759\) −3.49642 + 22.0755i −0.126912 + 0.801292i
\(760\) −8.03571 1.27273i −0.291486 0.0461668i
\(761\) 0.172384 3.28928i 0.00624892 0.119236i −0.993724 0.111861i \(-0.964319\pi\)
0.999973 0.00737562i \(-0.00234775\pi\)
\(762\) −5.52619 + 2.12131i −0.200193 + 0.0768468i
\(763\) 29.3439 13.0647i 1.06232 0.472976i
\(764\) 14.4413 + 13.0030i 0.522468 + 0.470432i
\(765\) −0.405855 + 0.328655i −0.0146737 + 0.0118825i
\(766\) 0.0874188 0.0185814i 0.00315857 0.000671374i
\(767\) −14.3886 + 17.1268i −0.519544 + 0.618412i
\(768\) −4.40947 + 20.7449i −0.159113 + 0.748568i
\(769\) −53.5496 + 14.3486i −1.93105 + 0.517422i −0.958054 + 0.286588i \(0.907479\pi\)
−0.972993 + 0.230834i \(0.925855\pi\)
\(770\) 12.2392 7.06628i 0.441069 0.254651i
\(771\) 10.6990 + 32.9280i 0.385314 + 1.18587i
\(772\) −12.2759 + 15.1595i −0.441819 + 0.545601i
\(773\) 19.9563 3.16077i 0.717779 0.113685i 0.213147 0.977020i \(-0.431629\pi\)
0.504631 + 0.863335i \(0.331629\pi\)
\(774\) −0.0513638 0.0513638i −0.00184623 0.00184623i
\(775\) 45.0396 6.63426i 1.61787 0.238310i
\(776\) 3.53220 0.126798
\(777\) 4.28894 5.90323i 0.153865 0.211777i
\(778\) 2.65412 3.27757i 0.0951549 0.117507i
\(779\) 4.53800 1.47449i 0.162591 0.0528289i
\(780\) −44.0513 + 6.16398i −1.57729 + 0.220706i
\(781\) −19.3342 11.1626i −0.691834 0.399430i
\(782\) −1.27082 1.95689i −0.0454445 0.0699783i
\(783\) 13.7698 42.3790i 0.492092 1.51450i
\(784\) −4.73082 22.2568i −0.168958 0.794884i
\(785\) 51.6235 41.8039i 1.84252 1.49204i
\(786\) −0.277050 5.28642i −0.00988204 0.188561i
\(787\) −11.7942 4.52737i −0.420418 0.161383i 0.138956 0.990298i \(-0.455625\pi\)
−0.559374 + 0.828915i \(0.688959\pi\)
\(788\) 0.502007 + 1.30777i 0.0178833 + 0.0465875i
\(789\) 2.45977 + 2.73185i 0.0875700 + 0.0972564i
\(790\) −10.2077 + 7.41634i −0.363174 + 0.263861i
\(791\) 5.90805 37.3020i 0.210066 1.32630i
\(792\) 0.103889 + 0.115380i 0.00369152 + 0.00409985i
\(793\) 43.3792 + 0.783296i 1.54044 + 0.0278157i
\(794\) 0.577525 0.257130i 0.0204956 0.00912522i
\(795\) −48.8372 + 2.55945i −1.73208 + 0.0907743i
\(796\) −11.1790 1.17496i −0.396230 0.0416455i
\(797\) 34.2395 7.27782i 1.21282 0.257794i 0.443278 0.896384i \(-0.353816\pi\)
0.769547 + 0.638591i \(0.220482\pi\)
\(798\) 1.62725 + 3.19365i 0.0576039 + 0.113054i
\(799\) 14.4550 9.38716i 0.511379 0.332094i
\(800\) 5.47496 + 20.4328i 0.193569 + 0.722409i
\(801\) 0.0353259 0.131838i 0.00124818 0.00465826i
\(802\) 0.772256 0.250921i 0.0272693 0.00886034i
\(803\) 36.9640 3.88507i 1.30443 0.137101i
\(804\) −2.69194 16.9962i −0.0949374 0.599411i
\(805\) 35.0374 1.23491
\(806\) −3.08937 + 3.23791i −0.108818 + 0.114051i
\(807\) −20.2546 −0.712994
\(808\) 0.994829 + 6.28110i 0.0349980 + 0.220968i
\(809\) 20.2156 2.12475i 0.710744 0.0747022i 0.257744 0.966213i \(-0.417021\pi\)
0.452999 + 0.891511i \(0.350354\pi\)
\(810\) 7.01007 2.27771i 0.246309 0.0800305i
\(811\) 3.56791 13.3156i 0.125286 0.467575i −0.874563 0.484911i \(-0.838852\pi\)
0.999850 + 0.0173364i \(0.00551861\pi\)
\(812\) −15.7906 58.9314i −0.554142 2.06809i
\(813\) 0.964248 0.626190i 0.0338176 0.0219614i
\(814\) −0.563147 1.10524i −0.0197383 0.0387386i
\(815\) 19.0390 4.04686i 0.666906 0.141755i
\(816\) 25.2365 + 2.65246i 0.883455 + 0.0928548i
\(817\) 22.6288 1.18593i 0.791682 0.0414903i
\(818\) 3.72401 1.65804i 0.130207 0.0579718i
\(819\) 0.332094 + 0.344308i 0.0116043 + 0.0120311i
\(820\) −8.88118 9.86355i −0.310144 0.344450i
\(821\) −5.24605 + 33.1222i −0.183088 + 1.15597i 0.709367 + 0.704839i \(0.248981\pi\)
−0.892456 + 0.451135i \(0.851019\pi\)
\(822\) 0.225926 0.164145i 0.00788007 0.00572520i
\(823\) −27.8787 30.9625i −0.971792 1.07928i −0.996827 0.0795973i \(-0.974637\pi\)
0.0250355 0.999687i \(-0.492030\pi\)
\(824\) 2.00850 + 5.23232i 0.0699695 + 0.182277i
\(825\) −64.0809 24.5984i −2.23101 0.856405i
\(826\) −0.262410 5.00707i −0.00913040 0.174218i
\(827\) 31.6482 25.6282i 1.10051 0.891179i 0.105854 0.994382i \(-0.466242\pi\)
0.994660 + 0.103203i \(0.0329091\pi\)
\(828\) 0.0395111 + 0.185885i 0.00137310 + 0.00645995i
\(829\) −6.76497 + 20.8204i −0.234957 + 0.723124i 0.762170 + 0.647377i \(0.224134\pi\)
−0.997127 + 0.0757466i \(0.975866\pi\)
\(830\) −4.08379 6.28849i −0.141750 0.218277i
\(831\) 37.2779 + 21.5224i 1.29316 + 0.746605i
\(832\) 19.6635 + 14.8360i 0.681708 + 0.514347i
\(833\) −22.9656 + 7.46196i −0.795709 + 0.258542i
\(834\) −3.20211 + 3.95428i −0.110880 + 0.136926i
\(835\) −16.4109 + 22.5877i −0.567924 + 0.781680i
\(836\) −23.9119 −0.827009
\(837\) −15.9196 + 23.9422i −0.550264 + 0.827565i
\(838\) 0.966247 + 0.966247i 0.0333785 + 0.0333785i
\(839\) −16.4118 + 2.59938i −0.566599 + 0.0897404i −0.433161 0.901317i \(-0.642602\pi\)
−0.133438 + 0.991057i \(0.542602\pi\)
\(840\) 12.7089 15.6942i 0.438499 0.541501i
\(841\) −14.0478 43.2347i −0.484407 1.49085i
\(842\) −6.38138 + 3.68429i −0.219917 + 0.126969i
\(843\) 51.3133 13.7493i 1.76732 0.473553i
\(844\) −5.99728 + 28.2150i −0.206435 + 0.971199i
\(845\) −13.8512 + 45.1109i −0.476495 + 1.55186i
\(846\) 0.0349889 0.00743712i 0.00120294 0.000255693i
\(847\) 34.3914 27.8496i 1.18170 0.956923i
\(848\) 21.2828 + 19.1631i 0.730853 + 0.658063i
\(849\) −35.1461 + 15.6480i −1.20621 + 0.537039i
\(850\) 6.68979 2.56797i 0.229458 0.0880807i
\(851\) 0.160948 3.07108i 0.00551724 0.105275i
\(852\) −15.5562 2.46386i −0.532947 0.0844104i
\(853\) −2.49271 + 15.7383i −0.0853487 + 0.538871i 0.907553 + 0.419937i \(0.137948\pi\)
−0.992902 + 0.118934i \(0.962052\pi\)
\(854\) −7.22710 + 6.50731i −0.247306 + 0.222676i
\(855\) 0.137520 0.308876i 0.00470309 0.0105633i
\(856\) 3.67257 9.56738i 0.125526 0.327006i
\(857\) 19.6766 + 17.7168i 0.672138 + 0.605196i 0.932869 0.360216i \(-0.117297\pi\)
−0.260731 + 0.965412i \(0.583964\pi\)
\(858\) 6.45385 1.96890i 0.220331 0.0672170i
\(859\) −3.69712 17.3936i −0.126144 0.593461i −0.995126 0.0986166i \(-0.968558\pi\)
0.868981 0.494845i \(-0.164775\pi\)
\(860\) −28.6158 56.1616i −0.975789 1.91509i
\(861\) −2.46246 + 11.5850i −0.0839204 + 0.394814i
\(862\) −4.06999 2.34981i −0.138624 0.0800349i
\(863\) −20.0343 5.36819i −0.681977 0.182735i −0.0988331 0.995104i \(-0.531511\pi\)
−0.583144 + 0.812369i \(0.698178\pi\)
\(864\) −11.9035 6.06514i −0.404966 0.206340i
\(865\) 55.1644 + 44.6712i 1.87565 + 1.51887i
\(866\) 0.276348 + 1.74479i 0.00939068 + 0.0592904i
\(867\) 2.69442i 0.0915075i
\(868\) −0.426443 + 39.3639i −0.0144744 + 1.33610i
\(869\) −53.1121 + 53.1121i −1.80170 + 1.80170i
\(870\) 7.15227 9.84426i 0.242485 0.333752i
\(871\) −17.5459 5.04263i −0.594520 0.170863i
\(872\) −2.41117 7.42083i −0.0816527 0.251301i
\(873\) −0.0379918 + 0.141787i −0.00128583 + 0.00479878i
\(874\) 1.30825 + 0.755320i 0.0442523 + 0.0255491i
\(875\) −8.69139 + 40.8898i −0.293823 + 1.38233i
\(876\) 23.3632 11.9041i 0.789369 0.402204i
\(877\) 23.0823 + 14.9898i 0.779435 + 0.506171i 0.871982 0.489537i \(-0.162834\pi\)
−0.0925472 + 0.995708i \(0.529501\pi\)
\(878\) 2.95277 + 3.64636i 0.0996511 + 0.123059i
\(879\) 48.3643 2.53466i 1.63129 0.0854921i
\(880\) 26.3468 + 59.1759i 0.888151 + 1.99482i
\(881\) 8.67602 + 3.86281i 0.292303 + 0.130141i 0.547649 0.836708i \(-0.315523\pi\)
−0.255347 + 0.966850i \(0.582190\pi\)
\(882\) −0.0500467 0.00262284i −0.00168516 8.83155e-5i
\(883\) −4.00822 + 2.91214i −0.134887 + 0.0980014i −0.653183 0.757200i \(-0.726567\pi\)
0.518296 + 0.855202i \(0.326567\pi\)
\(884\) 14.2516 23.6864i 0.479334 0.796660i
\(885\) −29.1634 + 26.2589i −0.980318 + 0.882683i
\(886\) 2.14469 + 5.58712i 0.0720524 + 0.187703i
\(887\) −51.1879 + 22.7903i −1.71872 + 0.765225i −0.721367 + 0.692553i \(0.756486\pi\)
−0.997356 + 0.0726714i \(0.976848\pi\)
\(888\) −1.31724 1.18605i −0.0442036 0.0398011i
\(889\) 34.7636 + 42.9294i 1.16593 + 1.43981i
\(890\) −1.64372 + 2.53111i −0.0550977 + 0.0848429i
\(891\) 39.0962 19.9205i 1.30977 0.667362i
\(892\) −12.8463 19.7816i −0.430127 0.662337i
\(893\) −5.57931 + 9.66365i −0.186705 + 0.323382i
\(894\) 3.96875 + 6.87407i 0.132735 + 0.229903i
\(895\) 20.6919 40.6101i 0.691653 1.35745i
\(896\) −24.1461 + 2.53786i −0.806665 + 0.0847839i
\(897\) 16.2974 + 3.77288i 0.544154 + 0.125973i
\(898\) 2.87423i 0.0959143i
\(899\) 1.99456 + 48.0028i 0.0665222 + 1.60098i
\(900\) −0.583613 −0.0194538
\(901\) 17.8643 24.5881i 0.595147 0.819149i
\(902\) 1.56472 + 1.26708i 0.0520994 + 0.0421893i
\(903\) −25.5350 + 50.1152i −0.849751 + 1.66773i
\(904\) −8.86164 2.37447i −0.294734 0.0789737i
\(905\) −58.4031 + 15.6491i −1.94138 + 0.520192i
\(906\) −1.20643 0.256436i −0.0400811 0.00851950i
\(907\) −46.8011 15.2066i −1.55401 0.504927i −0.598807 0.800893i \(-0.704358\pi\)
−0.955198 + 0.295966i \(0.904358\pi\)
\(908\) 6.88247 10.5981i 0.228403 0.351710i
\(909\) −0.262833 0.0276248i −0.00871761 0.000916258i
\(910\) −4.63116 9.50980i −0.153521 0.315247i
\(911\) 22.1189 + 49.6800i 0.732833 + 1.64597i 0.762978 + 0.646425i \(0.223737\pi\)
−0.0301447 + 0.999546i \(0.509597\pi\)
\(912\) −15.3374 + 5.88748i −0.507873 + 0.194954i
\(913\) −29.8678 33.1715i −0.988479 1.09782i
\(914\) 4.75927 3.45781i 0.157423 0.114374i
\(915\) 75.1790 + 11.9072i 2.48534 + 0.393639i
\(916\) −31.4357 1.64748i −1.03866 0.0544341i
\(917\) −46.1198 + 17.7037i −1.52301 + 0.584629i
\(918\) −1.62181 + 4.22496i −0.0535277 + 0.139444i
\(919\) −4.79803 + 5.32875i −0.158272 + 0.175779i −0.817065 0.576545i \(-0.804401\pi\)
0.658793 + 0.752324i \(0.271067\pi\)
\(920\) 0.889663 8.46458i 0.0293313 0.279069i
\(921\) −15.9133 10.3342i −0.524361 0.340524i
\(922\) −0.309424 + 0.952310i −0.0101903 + 0.0313627i
\(923\) −9.35209 + 13.8471i −0.307828 + 0.455781i
\(924\) 29.6767 51.4015i 0.976291 1.69098i
\(925\) 9.12254 + 2.44438i 0.299947 + 0.0803706i
\(926\) −4.59288 + 1.49232i −0.150931 + 0.0490406i
\(927\) −0.231636 + 0.0243459i −0.00760793 + 0.000799626i
\(928\) −22.0491 + 3.49223i −0.723796 + 0.114638i
\(929\) 16.6971 16.6971i 0.547814 0.547814i −0.377994 0.925808i \(-0.623386\pi\)
0.925808 + 0.377994i \(0.123386\pi\)
\(930\) −6.15483 + 4.87464i −0.201825 + 0.159846i
\(931\) 11.0545 11.0545i 0.362298 0.362298i
\(932\) 39.1362 + 28.4341i 1.28195 + 0.931391i
\(933\) 3.94660 + 37.5494i 0.129206 + 1.22931i
\(934\) 2.82437 + 1.43909i 0.0924163 + 0.0470884i
\(935\) 59.5331 34.3715i 1.94694 1.12407i
\(936\) 0.0916127 0.0714870i 0.00299446 0.00233662i
\(937\) −24.6185 5.23283i −0.804252 0.170949i −0.212597 0.977140i \(-0.568192\pi\)
−0.591655 + 0.806191i \(0.701525\pi\)
\(938\) 3.64610 1.85778i 0.119049 0.0606586i
\(939\) −17.4092 + 3.70043i −0.568127 + 0.120759i
\(940\) 30.8693 + 3.24449i 1.00684 + 0.105824i
\(941\) 1.56811 + 29.9214i 0.0511190 + 0.975408i 0.896998 + 0.442034i \(0.145743\pi\)
−0.845879 + 0.533374i \(0.820924\pi\)
\(942\) −2.54762 + 6.63677i −0.0830059 + 0.216238i
\(943\) 1.78885 + 4.66011i 0.0582530 + 0.151754i
\(944\) 22.9498 + 1.20275i 0.746951 + 0.0391460i
\(945\) −39.9435 54.9775i −1.29936 1.78842i
\(946\) 5.62019 + 7.73553i 0.182728 + 0.251504i
\(947\) −2.34720 + 44.7873i −0.0762739 + 1.45539i 0.645763 + 0.763538i \(0.276539\pi\)
−0.722037 + 0.691854i \(0.756794\pi\)
\(948\) −21.5530 + 48.4089i −0.700010 + 1.57225i
\(949\) −0.954110 27.8017i −0.0309717 0.902483i
\(950\) −3.10425 + 3.44762i −0.100715 + 0.111856i
\(951\) −8.26968 10.2122i −0.268163 0.331153i
\(952\) 2.60938 + 12.2761i 0.0845703 + 0.397872i
\(953\) −7.81900 + 24.0644i −0.253282 + 0.779522i 0.740881 + 0.671636i \(0.234408\pi\)
−0.994163 + 0.107886i \(0.965592\pi\)
\(954\) 0.0529005 0.0343540i 0.00171272 0.00111225i
\(955\) 34.9363 9.36115i 1.13051 0.302920i
\(956\) −3.17853 + 11.8625i −0.102801 + 0.383659i
\(957\) 32.8859 64.5422i 1.06305 2.08635i
\(958\) 0.627948 + 5.97453i 0.0202881 + 0.193028i
\(959\) −2.10836 1.53181i −0.0680824 0.0494647i
\(960\) 30.5575 + 30.5575i 0.986239 + 0.986239i
\(961\) 7.10066 30.1758i 0.229054 0.973414i
\(962\) −0.854821 + 0.362243i −0.0275605 + 0.0116792i
\(963\) 0.344547 + 0.250328i 0.0111029 + 0.00806670i
\(964\) 13.6947 + 11.0897i 0.441076 + 0.357176i
\(965\) 11.2193 + 34.5293i 0.361161 + 1.11154i
\(966\) −3.24731 + 1.87483i −0.104480 + 0.0603218i
\(967\) 6.13376 + 22.8915i 0.197249 + 0.736142i 0.991673 + 0.128779i \(0.0411058\pi\)
−0.794425 + 0.607363i \(0.792228\pi\)
\(968\) −5.85483 9.01564i −0.188181 0.289774i
\(969\) 7.91517 + 15.5344i 0.254272 + 0.499037i
\(970\) 1.76777 2.72212i 0.0567596 0.0874022i
\(971\) −2.48624 + 23.6550i −0.0797872 + 0.759125i 0.879349 + 0.476179i \(0.157978\pi\)
−0.959136 + 0.282946i \(0.908688\pi\)
\(972\) 0.496305 0.551203i 0.0159190 0.0176798i
\(973\) 44.3297 + 17.0166i 1.42115 + 0.545527i
\(974\) −1.89171 0.842244i −0.0606143 0.0269872i
\(975\) −21.7394 + 46.5472i −0.696219 + 1.49070i
\(976\) −26.2001 36.0614i −0.838646 1.15430i
\(977\) −6.51122 1.03128i −0.208312 0.0329934i 0.0514060 0.998678i \(-0.483630\pi\)
−0.259718 + 0.965684i \(0.583630\pi\)
\(978\) −1.54801 + 1.39383i −0.0494998 + 0.0445698i
\(979\) −7.30752 + 16.4130i −0.233549 + 0.524560i
\(980\) −40.5984 15.5843i −1.29687 0.497821i
\(981\) 0.323817 0.0169705i 0.0103387 0.000541828i
\(982\) 4.03521 3.26765i 0.128769 0.104275i
\(983\) 20.7109 + 13.4498i 0.660575 + 0.428982i 0.830912 0.556404i \(-0.187819\pi\)
−0.170338 + 0.985386i \(0.554486\pi\)
\(984\) 2.73624 + 0.889060i 0.0872283 + 0.0283422i
\(985\) 2.55027 + 0.542076i 0.0812583 + 0.0172720i
\(986\) 1.95724 + 7.30450i 0.0623311 + 0.232623i
\(987\) −13.8488 23.9868i −0.440812 0.763510i
\(988\) −1.25916 + 17.8525i −0.0400593 + 0.567963i
\(989\) 2.47787 + 23.5753i 0.0787916 + 0.749652i
\(990\) 0.140912 0.0223183i 0.00447848 0.000709322i
\(991\) 26.7656i 0.850238i 0.905137 + 0.425119i \(0.139768\pi\)
−0.905137 + 0.425119i \(0.860232\pi\)
\(992\) 14.3082 + 1.66075i 0.454286 + 0.0527288i
\(993\) −31.2539 31.2539i −0.991812 0.991812i
\(994\) −0.585909 3.69929i −0.0185839 0.117334i
\(995\) −13.1662 + 16.2590i −0.417398 + 0.515444i
\(996\) −28.0582 14.2964i −0.889058 0.452998i
\(997\) −13.1134 22.7131i −0.415307 0.719332i 0.580154 0.814507i \(-0.302992\pi\)
−0.995461 + 0.0951745i \(0.969659\pi\)
\(998\) −2.53431 + 4.38955i −0.0802222 + 0.138949i
\(999\) −5.00234 + 3.24856i −0.158267 + 0.102780i
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 403.2.cd.a.21.18 576
13.5 odd 4 inner 403.2.cd.a.83.18 yes 576
31.3 odd 30 inner 403.2.cd.a.34.18 yes 576
403.96 even 60 inner 403.2.cd.a.96.18 yes 576
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
403.2.cd.a.21.18 576 1.1 even 1 trivial
403.2.cd.a.34.18 yes 576 31.3 odd 30 inner
403.2.cd.a.83.18 yes 576 13.5 odd 4 inner
403.2.cd.a.96.18 yes 576 403.96 even 60 inner