Properties

Label 930.2.bs.a.107.16
Level $930$
Weight $2$
Character 930.107
Analytic conductor $7.426$
Analytic rank $0$
Dimension $1024$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(107,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([30, 15, 44]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.107");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bs (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: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(1024\)
Relative dimension: \(64\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 107.16
Character \(\chi\) \(=\) 930.107
Dual form 930.2.bs.a.113.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.453990 - 0.891007i) q^{2} +(-0.148049 - 1.72571i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(-1.13774 + 1.92498i) q^{5} +(-1.47041 + 0.915369i) q^{6} +(-1.33909 + 1.08437i) q^{7} +(0.987688 + 0.156434i) q^{8} +(-2.95616 + 0.510979i) q^{9} +O(q^{10})\) \(q+(-0.453990 - 0.891007i) q^{2} +(-0.148049 - 1.72571i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(-1.13774 + 1.92498i) q^{5} +(-1.47041 + 0.915369i) q^{6} +(-1.33909 + 1.08437i) q^{7} +(0.987688 + 0.156434i) q^{8} +(-2.95616 + 0.510979i) q^{9} +(2.23169 + 0.139806i) q^{10} +(0.949549 + 2.13272i) q^{11} +(1.48315 + 0.894574i) q^{12} +(2.80000 - 1.81834i) q^{13} +(1.57412 + 0.700843i) q^{14} +(3.49041 + 1.67841i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(2.28151 - 0.875791i) q^{17} +(1.79736 + 2.40198i) q^{18} +(-1.20329 - 5.66103i) q^{19} +(-0.888599 - 2.05192i) q^{20} +(2.06957 + 2.15034i) q^{21} +(1.46918 - 1.81429i) q^{22} +(1.76701 + 0.279867i) q^{23} +(0.123735 - 1.72763i) q^{24} +(-2.41111 - 4.38024i) q^{25} +(-2.89133 - 1.66931i) q^{26} +(1.31946 + 5.02584i) q^{27} +(-0.0901794 - 1.72073i) q^{28} +(1.69240 - 5.20866i) q^{29} +(-0.0891338 - 3.87196i) q^{30} +(0.943425 - 5.48725i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(3.53989 - 1.95440i) q^{33} +(-1.81612 - 1.63524i) q^{34} +(-0.563869 - 3.81146i) q^{35} +(1.32420 - 2.69193i) q^{36} +(1.21912 - 4.54983i) q^{37} +(-4.49774 + 3.64219i) q^{38} +(-3.55247 - 4.56279i) q^{39} +(-1.42486 + 1.72330i) q^{40} +(0.232812 - 0.209625i) q^{41} +(0.976406 - 2.82023i) q^{42} +(2.12607 - 3.27386i) q^{43} +(-2.28354 - 0.485381i) q^{44} +(2.37971 - 6.27192i) q^{45} +(-0.552842 - 1.70147i) q^{46} +(10.8745 + 5.54083i) q^{47} +(-1.59550 + 0.674077i) q^{48} +(-0.838086 + 3.94289i) q^{49} +(-2.80820 + 4.13691i) q^{50} +(-1.84914 - 3.80757i) q^{51} +(-0.174730 + 3.33404i) q^{52} +(-2.06401 + 2.54884i) q^{53} +(3.87903 - 3.45733i) q^{54} +(-5.18579 - 0.598610i) q^{55} +(-1.49224 + 0.861543i) q^{56} +(-9.59117 + 2.91464i) q^{57} +(-5.40928 + 0.856746i) q^{58} +(3.94722 - 4.38383i) q^{59} +(-3.40947 + 1.83725i) q^{60} -4.86392 q^{61} +(-5.31748 + 1.65056i) q^{62} +(3.40448 - 3.88983i) q^{63} +(0.951057 + 0.309017i) q^{64} +(0.314614 + 7.45874i) q^{65} +(-3.34845 - 2.26678i) q^{66} +(14.9253 - 3.99921i) q^{67} +(-0.632510 + 2.36056i) q^{68} +(0.221366 - 3.09078i) q^{69} +(-3.14004 + 2.23278i) q^{70} +(5.09113 - 0.535099i) q^{71} +(-2.99970 + 0.0422424i) q^{72} +(-1.07539 + 2.80150i) q^{73} +(-4.60740 + 0.979332i) q^{74} +(-7.20208 + 4.80938i) q^{75} +(5.28715 + 2.35399i) q^{76} +(-3.58420 - 1.82624i) q^{77} +(-2.45269 + 5.23674i) q^{78} +(0.0540458 - 0.121389i) q^{79} +(2.18235 + 0.487199i) q^{80} +(8.47780 - 3.02108i) q^{81} +(-0.292471 - 0.112269i) q^{82} +(-0.380018 + 7.25118i) q^{83} +(-2.95613 + 0.410375i) q^{84} +(-0.909877 + 5.38829i) q^{85} +(-3.88224 - 0.408040i) q^{86} +(-9.23920 - 2.14945i) q^{87} +(0.604227 + 2.25501i) q^{88} +(-10.2609 - 7.45498i) q^{89} +(-6.66869 + 0.727058i) q^{90} +(-1.77769 + 5.47117i) q^{91} +(-1.26504 + 1.26504i) q^{92} +(-9.60909 - 0.815699i) q^{93} -12.2047i q^{94} +(12.2664 + 4.12445i) q^{95} +(1.32495 + 1.11558i) q^{96} +(-1.99508 - 12.5965i) q^{97} +(3.89362 - 1.04329i) q^{98} +(-3.89680 - 5.81948i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1024 q - 8 q^{3} + 24 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 1024 q - 8 q^{3} + 24 q^{7} + 8 q^{10} + 8 q^{12} - 8 q^{15} + 256 q^{16} + 44 q^{22} + 16 q^{25} - 20 q^{27} + 4 q^{28} + 48 q^{30} - 32 q^{31} - 52 q^{33} + 112 q^{37} + 12 q^{42} + 40 q^{45} + 24 q^{46} - 12 q^{48} + 16 q^{51} - 20 q^{55} - 40 q^{57} - 56 q^{58} - 12 q^{60} + 32 q^{61} + 224 q^{63} - 32 q^{66} + 24 q^{67} - 24 q^{70} - 88 q^{73} + 224 q^{75} - 96 q^{76} - 32 q^{78} + 48 q^{81} - 24 q^{85} + 20 q^{87} - 36 q^{88} + 8 q^{90} - 80 q^{91} - 252 q^{93} - 32 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(-1\) \(e\left(\frac{11}{15}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.453990 0.891007i −0.321020 0.630037i
\(3\) −0.148049 1.72571i −0.0854760 0.996340i
\(4\) −0.587785 + 0.809017i −0.293893 + 0.404508i
\(5\) −1.13774 + 1.92498i −0.508811 + 0.860878i
\(6\) −1.47041 + 0.915369i −0.600291 + 0.373698i
\(7\) −1.33909 + 1.08437i −0.506128 + 0.409855i −0.848084 0.529861i \(-0.822244\pi\)
0.341956 + 0.939716i \(0.388911\pi\)
\(8\) 0.987688 + 0.156434i 0.349201 + 0.0553079i
\(9\) −2.95616 + 0.510979i −0.985388 + 0.170326i
\(10\) 2.23169 + 0.139806i 0.705723 + 0.0442107i
\(11\) 0.949549 + 2.13272i 0.286300 + 0.643040i 0.998247 0.0591935i \(-0.0188529\pi\)
−0.711947 + 0.702234i \(0.752186\pi\)
\(12\) 1.48315 + 0.894574i 0.428149 + 0.258241i
\(13\) 2.80000 1.81834i 0.776580 0.504317i −0.0944601 0.995529i \(-0.530112\pi\)
0.871040 + 0.491212i \(0.163446\pi\)
\(14\) 1.57412 + 0.700843i 0.420701 + 0.187308i
\(15\) 3.49041 + 1.67841i 0.901219 + 0.433364i
\(16\) −0.309017 0.951057i −0.0772542 0.237764i
\(17\) 2.28151 0.875791i 0.553348 0.212410i −0.0655949 0.997846i \(-0.520895\pi\)
0.618943 + 0.785436i \(0.287561\pi\)
\(18\) 1.79736 + 2.40198i 0.423641 + 0.566152i
\(19\) −1.20329 5.66103i −0.276054 1.29873i −0.869530 0.493879i \(-0.835578\pi\)
0.593477 0.804851i \(-0.297755\pi\)
\(20\) −0.888599 2.05192i −0.198697 0.458824i
\(21\) 2.06957 + 2.15034i 0.451617 + 0.469243i
\(22\) 1.46918 1.81429i 0.313231 0.386808i
\(23\) 1.76701 + 0.279867i 0.368447 + 0.0583563i 0.337913 0.941177i \(-0.390279\pi\)
0.0305342 + 0.999534i \(0.490279\pi\)
\(24\) 0.123735 1.72763i 0.0252572 0.352650i
\(25\) −2.41111 4.38024i −0.482223 0.876049i
\(26\) −2.89133 1.66931i −0.567036 0.327378i
\(27\) 1.31946 + 5.02584i 0.253930 + 0.967223i
\(28\) −0.0901794 1.72073i −0.0170423 0.325187i
\(29\) 1.69240 5.20866i 0.314270 0.967224i −0.661784 0.749695i \(-0.730200\pi\)
0.976054 0.217529i \(-0.0697997\pi\)
\(30\) −0.0891338 3.87196i −0.0162735 0.706919i
\(31\) 0.943425 5.48725i 0.169444 0.985540i
\(32\) −0.707107 + 0.707107i −0.125000 + 0.125000i
\(33\) 3.53989 1.95440i 0.616215 0.340217i
\(34\) −1.81612 1.63524i −0.311462 0.280442i
\(35\) −0.563869 3.81146i −0.0953113 0.644254i
\(36\) 1.32420 2.69193i 0.220700 0.448655i
\(37\) 1.21912 4.54983i 0.200423 0.747987i −0.790374 0.612625i \(-0.790114\pi\)
0.990796 0.135362i \(-0.0432198\pi\)
\(38\) −4.49774 + 3.64219i −0.729629 + 0.590842i
\(39\) −3.55247 4.56279i −0.568850 0.730631i
\(40\) −1.42486 + 1.72330i −0.225290 + 0.272478i
\(41\) 0.232812 0.209625i 0.0363591 0.0327379i −0.650751 0.759291i \(-0.725546\pi\)
0.687110 + 0.726553i \(0.258879\pi\)
\(42\) 0.976406 2.82023i 0.150663 0.435171i
\(43\) 2.12607 3.27386i 0.324222 0.499259i −0.638547 0.769583i \(-0.720464\pi\)
0.962769 + 0.270324i \(0.0871308\pi\)
\(44\) −2.28354 0.485381i −0.344257 0.0731740i
\(45\) 2.37971 6.27192i 0.354746 0.934963i
\(46\) −0.552842 1.70147i −0.0815122 0.250869i
\(47\) 10.8745 + 5.54083i 1.58621 + 0.808213i 0.999998 0.00194647i \(-0.000619582\pi\)
0.586209 + 0.810160i \(0.300620\pi\)
\(48\) −1.59550 + 0.674077i −0.230291 + 0.0972946i
\(49\) −0.838086 + 3.94289i −0.119727 + 0.563269i
\(50\) −2.80820 + 4.13691i −0.397140 + 0.585047i
\(51\) −1.84914 3.80757i −0.258931 0.533167i
\(52\) −0.174730 + 3.33404i −0.0242306 + 0.462348i
\(53\) −2.06401 + 2.54884i −0.283514 + 0.350110i −0.898930 0.438092i \(-0.855654\pi\)
0.615417 + 0.788202i \(0.288988\pi\)
\(54\) 3.87903 3.45733i 0.527869 0.470483i
\(55\) −5.18579 0.598610i −0.699252 0.0807165i
\(56\) −1.49224 + 0.861543i −0.199409 + 0.115129i
\(57\) −9.59117 + 2.91464i −1.27038 + 0.386054i
\(58\) −5.40928 + 0.856746i −0.710273 + 0.112496i
\(59\) 3.94722 4.38383i 0.513884 0.570726i −0.429230 0.903195i \(-0.641215\pi\)
0.943114 + 0.332469i \(0.107882\pi\)
\(60\) −3.40947 + 1.83725i −0.440161 + 0.237188i
\(61\) −4.86392 −0.622761 −0.311381 0.950285i \(-0.600791\pi\)
−0.311381 + 0.950285i \(0.600791\pi\)
\(62\) −5.31748 + 1.65056i −0.675321 + 0.209622i
\(63\) 3.40448 3.88983i 0.428924 0.490073i
\(64\) 0.951057 + 0.309017i 0.118882 + 0.0386271i
\(65\) 0.314614 + 7.45874i 0.0390231 + 0.925143i
\(66\) −3.34845 2.26678i −0.412166 0.279022i
\(67\) 14.9253 3.99921i 1.82341 0.488581i 0.826210 0.563363i \(-0.190493\pi\)
0.997200 + 0.0747815i \(0.0238259\pi\)
\(68\) −0.632510 + 2.36056i −0.0767031 + 0.286260i
\(69\) 0.221366 3.09078i 0.0266493 0.372087i
\(70\) −3.14004 + 2.23278i −0.375307 + 0.266868i
\(71\) 5.09113 0.535099i 0.604206 0.0635046i 0.202514 0.979279i \(-0.435089\pi\)
0.401692 + 0.915775i \(0.368422\pi\)
\(72\) −2.99970 + 0.0422424i −0.353518 + 0.00497831i
\(73\) −1.07539 + 2.80150i −0.125865 + 0.327891i −0.982005 0.188854i \(-0.939523\pi\)
0.856140 + 0.516744i \(0.172856\pi\)
\(74\) −4.60740 + 0.979332i −0.535599 + 0.113845i
\(75\) −7.20208 + 4.80938i −0.831624 + 0.555339i
\(76\) 5.28715 + 2.35399i 0.606478 + 0.270021i
\(77\) −3.58420 1.82624i −0.408458 0.208119i
\(78\) −2.45269 + 5.23674i −0.277712 + 0.592944i
\(79\) 0.0540458 0.121389i 0.00608062 0.0136573i −0.910480 0.413554i \(-0.864287\pi\)
0.916560 + 0.399897i \(0.130954\pi\)
\(80\) 2.18235 + 0.487199i 0.243994 + 0.0544705i
\(81\) 8.47780 3.02108i 0.941978 0.335675i
\(82\) −0.292471 0.112269i −0.0322981 0.0123981i
\(83\) −0.380018 + 7.25118i −0.0417124 + 0.795920i 0.895053 + 0.445961i \(0.147138\pi\)
−0.936765 + 0.349959i \(0.886195\pi\)
\(84\) −2.95613 + 0.410375i −0.322540 + 0.0447756i
\(85\) −0.909877 + 5.38829i −0.0986901 + 0.584442i
\(86\) −3.88224 0.408040i −0.418633 0.0440001i
\(87\) −9.23920 2.14945i −0.990546 0.230445i
\(88\) 0.604227 + 2.25501i 0.0644109 + 0.240385i
\(89\) −10.2609 7.45498i −1.08765 0.790226i −0.108652 0.994080i \(-0.534653\pi\)
−0.979001 + 0.203854i \(0.934653\pi\)
\(90\) −6.66869 + 0.727058i −0.702941 + 0.0766386i
\(91\) −1.77769 + 5.47117i −0.186353 + 0.573534i
\(92\) −1.26504 + 1.26504i −0.131889 + 0.131889i
\(93\) −9.60909 0.815699i −0.996416 0.0845840i
\(94\) 12.2047i 1.25882i
\(95\) 12.2664 + 4.12445i 1.25851 + 0.423160i
\(96\) 1.32495 + 1.11558i 0.135227 + 0.113858i
\(97\) −1.99508 12.5965i −0.202570 1.27898i −0.854002 0.520269i \(-0.825832\pi\)
0.651432 0.758707i \(-0.274168\pi\)
\(98\) 3.89362 1.04329i 0.393315 0.105388i
\(99\) −3.89680 5.81948i −0.391643 0.584879i
\(100\) 4.96091 + 0.624010i 0.496091 + 0.0624010i
\(101\) −5.16457 7.10842i −0.513894 0.707314i 0.470676 0.882306i \(-0.344010\pi\)
−0.984570 + 0.174992i \(0.944010\pi\)
\(102\) −2.55308 + 3.37620i −0.252793 + 0.334293i
\(103\) 9.01776 + 0.472601i 0.888546 + 0.0465667i 0.491145 0.871078i \(-0.336579\pi\)
0.397402 + 0.917645i \(0.369912\pi\)
\(104\) 3.04998 1.35794i 0.299075 0.133157i
\(105\) −6.49399 + 1.53736i −0.633749 + 0.150031i
\(106\) 3.20807 + 0.681897i 0.311596 + 0.0662317i
\(107\) −15.5197 + 5.95746i −1.50035 + 0.575929i −0.963490 0.267744i \(-0.913722\pi\)
−0.536857 + 0.843673i \(0.680389\pi\)
\(108\) −4.84155 1.88665i −0.465878 0.181543i
\(109\) 6.87636 2.23426i 0.658636 0.214004i 0.0394176 0.999223i \(-0.487450\pi\)
0.619218 + 0.785219i \(0.287450\pi\)
\(110\) 1.82093 + 4.89234i 0.173619 + 0.466466i
\(111\) −8.03218 1.43026i −0.762381 0.135754i
\(112\) 1.44510 + 0.938460i 0.136549 + 0.0886762i
\(113\) −5.00378 1.92077i −0.470716 0.180691i 0.111435 0.993772i \(-0.464455\pi\)
−0.582151 + 0.813081i \(0.697789\pi\)
\(114\) 6.95126 + 7.22257i 0.651045 + 0.676456i
\(115\) −2.54913 + 3.08305i −0.237707 + 0.287496i
\(116\) 3.21913 + 4.43075i 0.298889 + 0.411385i
\(117\) −7.34812 + 6.80605i −0.679334 + 0.629220i
\(118\) −5.69802 1.52678i −0.524546 0.140552i
\(119\) −2.10547 + 3.64677i −0.193008 + 0.334299i
\(120\) 3.18487 + 2.20377i 0.290738 + 0.201176i
\(121\) 3.71357 4.12434i 0.337598 0.374940i
\(122\) 2.20817 + 4.33379i 0.199919 + 0.392363i
\(123\) −0.396219 0.370731i −0.0357259 0.0334277i
\(124\) 3.88475 + 3.98857i 0.348861 + 0.358184i
\(125\) 11.1751 + 0.342209i 0.999531 + 0.0306081i
\(126\) −5.01147 1.26746i −0.446457 0.112915i
\(127\) 10.2803 0.538766i 0.912225 0.0478077i 0.409555 0.912286i \(-0.365684\pi\)
0.502671 + 0.864478i \(0.332351\pi\)
\(128\) −0.156434 0.987688i −0.0138270 0.0873001i
\(129\) −5.96450 3.18429i −0.525145 0.280361i
\(130\) 6.50296 3.66652i 0.570347 0.321575i
\(131\) 5.12326 + 0.538476i 0.447621 + 0.0470469i 0.325658 0.945488i \(-0.394414\pi\)
0.121963 + 0.992535i \(0.461081\pi\)
\(132\) −0.499553 + 4.01259i −0.0434805 + 0.349251i
\(133\) 7.74999 + 6.27582i 0.672009 + 0.544182i
\(134\) −10.3392 11.4829i −0.893175 0.991971i
\(135\) −11.1758 3.17814i −0.961863 0.273531i
\(136\) 2.39043 0.508101i 0.204977 0.0435693i
\(137\) −5.87908 + 3.81792i −0.502283 + 0.326187i −0.770788 0.637092i \(-0.780137\pi\)
0.268505 + 0.963278i \(0.413471\pi\)
\(138\) −2.85441 + 1.20595i −0.242983 + 0.102657i
\(139\) −2.99490 + 0.973102i −0.254024 + 0.0825375i −0.433261 0.901268i \(-0.642637\pi\)
0.179237 + 0.983806i \(0.442637\pi\)
\(140\) 3.41497 + 1.78414i 0.288617 + 0.150787i
\(141\) 7.95192 19.5866i 0.669673 1.64949i
\(142\) −2.78810 4.29330i −0.233972 0.360286i
\(143\) 6.53675 + 4.24502i 0.546631 + 0.354986i
\(144\) 1.39947 + 2.65358i 0.116623 + 0.221131i
\(145\) 8.10108 + 9.18391i 0.672758 + 0.762682i
\(146\) 2.98437 0.313670i 0.246988 0.0259595i
\(147\) 6.92836 + 0.862556i 0.571442 + 0.0711424i
\(148\) 2.96431 + 3.66061i 0.243664 + 0.300901i
\(149\) −7.79495 13.5013i −0.638587 1.10607i −0.985743 0.168258i \(-0.946186\pi\)
0.347156 0.937807i \(-0.387148\pi\)
\(150\) 7.55486 + 4.23368i 0.616852 + 0.345679i
\(151\) 3.61117 + 2.62367i 0.293873 + 0.213511i 0.724946 0.688806i \(-0.241865\pi\)
−0.431073 + 0.902317i \(0.641865\pi\)
\(152\) −0.302895 5.77957i −0.0245680 0.468785i
\(153\) −6.29701 + 3.75479i −0.509083 + 0.303556i
\(154\) 4.02264i 0.324154i
\(155\) 9.48950 + 8.05912i 0.762215 + 0.647324i
\(156\) 5.77946 0.192068i 0.462727 0.0153777i
\(157\) 7.03395 3.58397i 0.561370 0.286032i −0.150191 0.988657i \(-0.547989\pi\)
0.711561 + 0.702625i \(0.247989\pi\)
\(158\) −0.132694 + 0.00695422i −0.0105566 + 0.000553248i
\(159\) 4.70414 + 3.18453i 0.373062 + 0.252550i
\(160\) −0.556667 2.16567i −0.0440084 0.171211i
\(161\) −2.66966 + 1.54133i −0.210399 + 0.121474i
\(162\) −6.54064 6.18224i −0.513881 0.485722i
\(163\) −1.84201 + 11.6300i −0.144277 + 0.910932i 0.804262 + 0.594274i \(0.202561\pi\)
−0.948540 + 0.316658i \(0.897439\pi\)
\(164\) 0.0327466 + 0.311563i 0.00255708 + 0.0243290i
\(165\) −0.265278 + 9.03780i −0.0206519 + 0.703592i
\(166\) 6.63337 2.95337i 0.514849 0.229226i
\(167\) 12.7547 19.6405i 0.986986 1.51983i 0.138668 0.990339i \(-0.455718\pi\)
0.848319 0.529486i \(-0.177615\pi\)
\(168\) 1.70770 + 2.44762i 0.131752 + 0.188838i
\(169\) −0.753943 + 1.69338i −0.0579956 + 0.130260i
\(170\) 5.21408 1.63553i 0.399901 0.125439i
\(171\) 6.44979 + 16.1201i 0.493228 + 1.23273i
\(172\) 1.39894 + 3.64435i 0.106668 + 0.277879i
\(173\) −2.49794 3.84649i −0.189915 0.292443i 0.730868 0.682519i \(-0.239116\pi\)
−0.920783 + 0.390076i \(0.872449\pi\)
\(174\) 2.27933 + 9.20802i 0.172796 + 0.698058i
\(175\) 7.97852 + 3.25099i 0.603119 + 0.245752i
\(176\) 1.73491 1.56212i 0.130774 0.117749i
\(177\) −8.14961 6.16274i −0.612562 0.463220i
\(178\) −1.98408 + 12.5270i −0.148713 + 0.938940i
\(179\) 0.565799 5.38322i 0.0422898 0.402360i −0.952816 0.303548i \(-0.901829\pi\)
0.995106 0.0988128i \(-0.0315045\pi\)
\(180\) 3.67533 + 5.61177i 0.273943 + 0.418276i
\(181\) −4.27755 + 7.40893i −0.317948 + 0.550702i −0.980060 0.198703i \(-0.936327\pi\)
0.662112 + 0.749405i \(0.269660\pi\)
\(182\) 5.68190 0.899925i 0.421170 0.0667069i
\(183\) 0.720098 + 8.39373i 0.0532312 + 0.620482i
\(184\) 1.70147 + 0.552842i 0.125434 + 0.0407561i
\(185\) 7.37130 + 7.52329i 0.541949 + 0.553123i
\(186\) 3.63564 + 8.93208i 0.266578 + 0.654932i
\(187\) 4.03423 + 4.03423i 0.295012 + 0.295012i
\(188\) −10.8745 + 5.54083i −0.793104 + 0.404107i
\(189\) −7.21676 5.29926i −0.524942 0.385464i
\(190\) −1.89392 12.8019i −0.137400 0.928749i
\(191\) −0.811513 0.468527i −0.0587190 0.0339014i 0.470353 0.882478i \(-0.344127\pi\)
−0.529072 + 0.848577i \(0.677460\pi\)
\(192\) 0.392472 1.68700i 0.0283242 0.121749i
\(193\) 12.2415 + 15.1169i 0.881160 + 1.08814i 0.995506 + 0.0947007i \(0.0301894\pi\)
−0.114346 + 0.993441i \(0.536477\pi\)
\(194\) −10.3178 + 7.49630i −0.740773 + 0.538203i
\(195\) 12.8251 1.64719i 0.918422 0.117958i
\(196\) −2.69725 2.99560i −0.192660 0.213971i
\(197\) 2.08032 5.41941i 0.148216 0.386117i −0.839293 0.543680i \(-0.817030\pi\)
0.987509 + 0.157563i \(0.0503638\pi\)
\(198\) −3.41608 + 6.11406i −0.242770 + 0.434507i
\(199\) 5.74366 27.0218i 0.407158 1.91553i 0.00492545 0.999988i \(-0.498432\pi\)
0.402232 0.915538i \(-0.368234\pi\)
\(200\) −1.69621 4.70350i −0.119940 0.332587i
\(201\) −9.11115 25.1646i −0.642651 1.77497i
\(202\) −3.98898 + 7.82882i −0.280664 + 0.550834i
\(203\) 3.38186 + 8.81005i 0.237360 + 0.618344i
\(204\) 4.16729 + 0.742052i 0.291768 + 0.0519540i
\(205\) 0.138645 + 0.686656i 0.00968342 + 0.0479581i
\(206\) −3.67289 8.24944i −0.255902 0.574766i
\(207\) −5.36657 + 0.0755731i −0.373003 + 0.00525269i
\(208\) −2.59459 2.10106i −0.179903 0.145682i
\(209\) 10.9308 7.94171i 0.756101 0.549340i
\(210\) 4.31801 + 5.08825i 0.297971 + 0.351122i
\(211\) −0.818874 1.41833i −0.0563736 0.0976419i 0.836461 0.548026i \(-0.184620\pi\)
−0.892835 + 0.450384i \(0.851287\pi\)
\(212\) −0.848860 3.16799i −0.0583000 0.217578i
\(213\) −1.67716 8.70660i −0.114917 0.596567i
\(214\) 12.3539 + 11.1235i 0.844498 + 0.760389i
\(215\) 3.88322 + 7.81743i 0.264833 + 0.533144i
\(216\) 0.517001 + 5.17037i 0.0351774 + 0.351799i
\(217\) 4.68690 + 8.37095i 0.318168 + 0.568257i
\(218\) −5.11255 5.11255i −0.346265 0.346265i
\(219\) 4.99379 + 1.44106i 0.337449 + 0.0973780i
\(220\) 3.53242 3.84354i 0.238155 0.259131i
\(221\) 4.79575 6.60078i 0.322597 0.444017i
\(222\) 2.37217 + 7.80605i 0.159209 + 0.523908i
\(223\) −17.9603 4.81243i −1.20271 0.322264i −0.398811 0.917033i \(-0.630577\pi\)
−0.803897 + 0.594769i \(0.797244\pi\)
\(224\) 0.180112 1.71365i 0.0120342 0.114498i
\(225\) 9.36586 + 11.7167i 0.624391 + 0.781112i
\(226\) 0.560248 + 5.33041i 0.0372672 + 0.354573i
\(227\) 20.4262 + 1.07049i 1.35573 + 0.0710509i 0.716297 0.697795i \(-0.245835\pi\)
0.639434 + 0.768846i \(0.279169\pi\)
\(228\) 3.27955 9.47260i 0.217194 0.627338i
\(229\) 1.48362 + 6.97989i 0.0980405 + 0.461244i 0.999592 + 0.0285719i \(0.00909596\pi\)
−0.901551 + 0.432672i \(0.857571\pi\)
\(230\) 3.90430 + 0.871616i 0.257442 + 0.0574727i
\(231\) −2.62093 + 6.45567i −0.172445 + 0.424752i
\(232\) 2.48637 4.87978i 0.163238 0.320373i
\(233\) −12.5949 + 24.7188i −0.825118 + 1.61938i −0.0406840 + 0.999172i \(0.512954\pi\)
−0.784434 + 0.620213i \(0.787046\pi\)
\(234\) 9.40022 + 3.45734i 0.614511 + 0.226013i
\(235\) −23.0383 + 14.6292i −1.50285 + 0.954304i
\(236\) 1.22648 + 5.77012i 0.0798368 + 0.375603i
\(237\) −0.217484 0.0752960i −0.0141271 0.00489100i
\(238\) 4.20516 + 0.220383i 0.272580 + 0.0142853i
\(239\) 2.94960 + 28.0636i 0.190794 + 1.81528i 0.501923 + 0.864913i \(0.332626\pi\)
−0.311129 + 0.950368i \(0.600707\pi\)
\(240\) 0.517671 3.83823i 0.0334155 0.247757i
\(241\) 0.322661 3.06991i 0.0207844 0.197750i −0.979202 0.202886i \(-0.934968\pi\)
0.999987 + 0.00513539i \(0.00163465\pi\)
\(242\) −5.36074 1.43641i −0.344602 0.0923357i
\(243\) −6.46863 14.1830i −0.414963 0.909838i
\(244\) 2.85894 3.93500i 0.183025 0.251912i
\(245\) −6.63646 6.09926i −0.423988 0.389668i
\(246\) −0.150444 + 0.521343i −0.00959198 + 0.0332396i
\(247\) −13.6629 13.6629i −0.869350 0.869350i
\(248\) 1.79021 5.27211i 0.113678 0.334779i
\(249\) 12.5697 0.417726i 0.796573 0.0264723i
\(250\) −4.76848 10.1124i −0.301585 0.639567i
\(251\) 14.9901 + 13.4971i 0.946164 + 0.851930i 0.989115 0.147147i \(-0.0470092\pi\)
−0.0429508 + 0.999077i \(0.513676\pi\)
\(252\) 1.14584 + 5.04067i 0.0721811 + 0.317532i
\(253\) 1.08098 + 4.03429i 0.0679609 + 0.253634i
\(254\) −5.14718 8.91518i −0.322963 0.559388i
\(255\) 9.43334 + 0.772456i 0.590739 + 0.0483731i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −14.5634 11.7932i −0.908441 0.735641i 0.0564186 0.998407i \(-0.482032\pi\)
−0.964860 + 0.262766i \(0.915365\pi\)
\(258\) −0.129398 + 6.76005i −0.00805599 + 0.420862i
\(259\) 3.30120 + 7.41461i 0.205127 + 0.460722i
\(260\) −6.21917 4.12961i −0.385697 0.256108i
\(261\) −2.34148 + 16.2624i −0.144934 + 1.00662i
\(262\) −1.84612 4.80932i −0.114054 0.297121i
\(263\) −12.7066 + 24.9382i −0.783525 + 1.53776i 0.0584815 + 0.998288i \(0.481374\pi\)
−0.842007 + 0.539467i \(0.818626\pi\)
\(264\) 3.80204 1.37657i 0.233999 0.0847223i
\(265\) −2.55817 6.87309i −0.157147 0.422210i
\(266\) 2.07337 9.75445i 0.127127 0.598084i
\(267\) −11.3460 + 18.8111i −0.694366 + 1.15122i
\(268\) −5.53741 + 14.4255i −0.338251 + 0.881175i
\(269\) −11.6676 12.9582i −0.711386 0.790075i 0.273759 0.961798i \(-0.411733\pi\)
−0.985145 + 0.171724i \(0.945066\pi\)
\(270\) 2.24198 + 11.4006i 0.136443 + 0.693818i
\(271\) −26.3012 + 19.1090i −1.59769 + 1.16079i −0.705917 + 0.708294i \(0.749465\pi\)
−0.891768 + 0.452492i \(0.850535\pi\)
\(272\) −1.53795 1.89921i −0.0932521 0.115157i
\(273\) 9.70484 + 2.25778i 0.587364 + 0.136647i
\(274\) 6.07083 + 3.50500i 0.366752 + 0.211745i
\(275\) 7.05237 9.30149i 0.425274 0.560901i
\(276\) 2.37038 + 1.99581i 0.142680 + 0.120133i
\(277\) 15.8963 8.09957i 0.955116 0.486656i 0.0942841 0.995545i \(-0.469944\pi\)
0.860832 + 0.508889i \(0.169944\pi\)
\(278\) 2.22670 + 2.22670i 0.133548 + 0.133548i
\(279\) 0.0149537 + 16.7033i 0.000895252 + 1.00000i
\(280\) 0.0393158 3.85274i 0.00234957 0.230245i
\(281\) 11.6560 + 3.78725i 0.695336 + 0.225928i 0.635297 0.772268i \(-0.280878\pi\)
0.0600386 + 0.998196i \(0.480878\pi\)
\(282\) −21.0618 + 1.80690i −1.25421 + 0.107599i
\(283\) 11.0362 1.74796i 0.656032 0.103905i 0.180460 0.983582i \(-0.442241\pi\)
0.475571 + 0.879677i \(0.342241\pi\)
\(284\) −2.55959 + 4.43333i −0.151884 + 0.263070i
\(285\) 5.30158 21.7789i 0.314039 1.29007i
\(286\) 0.814714 7.75149i 0.0481751 0.458355i
\(287\) −0.0844444 + 0.533161i −0.00498460 + 0.0314715i
\(288\) 1.72901 2.45164i 0.101883 0.144464i
\(289\) −8.19517 + 7.37897i −0.482069 + 0.434057i
\(290\) 4.50511 11.3875i 0.264549 0.668698i
\(291\) −21.4425 + 5.30783i −1.25698 + 0.311150i
\(292\) −1.63436 2.51669i −0.0956436 0.147278i
\(293\) 3.22409 + 8.39904i 0.188353 + 0.490677i 0.994944 0.100433i \(-0.0320229\pi\)
−0.806590 + 0.591111i \(0.798690\pi\)
\(294\) −2.37687 6.56481i −0.138622 0.382867i
\(295\) 3.94790 + 12.5860i 0.229856 + 0.732784i
\(296\) 1.91586 4.30310i 0.111357 0.250113i
\(297\) −9.46582 + 7.58632i −0.549263 + 0.440203i
\(298\) −8.49087 + 13.0748i −0.491863 + 0.757402i
\(299\) 5.45652 2.42940i 0.315559 0.140496i
\(300\) 0.342406 8.65348i 0.0197688 0.499609i
\(301\) 0.703089 + 6.68944i 0.0405254 + 0.385573i
\(302\) 0.698268 4.40869i 0.0401808 0.253692i
\(303\) −11.5025 + 9.96495i −0.660800 + 0.572471i
\(304\) −5.01213 + 2.89375i −0.287465 + 0.165968i
\(305\) 5.53386 9.36296i 0.316868 0.536122i
\(306\) 6.20432 + 3.90604i 0.354677 + 0.223294i
\(307\) 6.50922 0.341134i 0.371501 0.0194695i 0.134328 0.990937i \(-0.457113\pi\)
0.237173 + 0.971467i \(0.423779\pi\)
\(308\) 3.58420 1.82624i 0.204229 0.104060i
\(309\) −0.519496 15.6320i −0.0295531 0.889275i
\(310\) 2.87259 12.1140i 0.163152 0.688027i
\(311\) 19.0475i 1.08009i −0.841637 0.540043i \(-0.818408\pi\)
0.841637 0.540043i \(-0.181592\pi\)
\(312\) −2.79495 5.06234i −0.158233 0.286599i
\(313\) −0.546683 10.4313i −0.0309004 0.589614i −0.969573 0.244804i \(-0.921277\pi\)
0.938672 0.344810i \(-0.112057\pi\)
\(314\) −6.38669 4.64020i −0.360422 0.261862i
\(315\) 3.61446 + 10.9792i 0.203652 + 0.618605i
\(316\) 0.0664383 + 0.115074i 0.00373745 + 0.00647345i
\(317\) −11.1853 13.8127i −0.628230 0.775799i 0.359302 0.933221i \(-0.383015\pi\)
−0.987531 + 0.157422i \(0.949682\pi\)
\(318\) 0.701806 5.63717i 0.0393554 0.316117i
\(319\) 12.7156 1.33647i 0.711939 0.0748278i
\(320\) −1.67690 + 1.47919i −0.0937418 + 0.0826891i
\(321\) 12.5785 + 25.9006i 0.702065 + 1.44563i
\(322\) 2.58534 + 1.67894i 0.144075 + 0.0935636i
\(323\) −7.70320 11.8619i −0.428618 0.660013i
\(324\) −2.53902 + 8.63443i −0.141057 + 0.479690i
\(325\) −14.7159 7.88045i −0.816291 0.437129i
\(326\) 11.1987 3.63867i 0.620236 0.201527i
\(327\) −4.87373 11.5358i −0.269518 0.637933i
\(328\) 0.262738 0.170624i 0.0145073 0.00942114i
\(329\) −20.5703 + 4.37234i −1.13407 + 0.241055i
\(330\) 8.17317 3.86671i 0.449918 0.212855i
\(331\) 4.14519 + 4.60371i 0.227841 + 0.253043i 0.846216 0.532841i \(-0.178875\pi\)
−0.618375 + 0.785883i \(0.712209\pi\)
\(332\) −5.64296 4.56958i −0.309697 0.250788i
\(333\) −1.27906 + 14.0730i −0.0700920 + 0.771195i
\(334\) −23.2903 2.44791i −1.27439 0.133944i
\(335\) −9.28259 + 33.2809i −0.507162 + 1.81833i
\(336\) 1.40557 2.63277i 0.0766799 0.143629i
\(337\) 1.78242 + 11.2537i 0.0970944 + 0.613030i 0.987470 + 0.157804i \(0.0504414\pi\)
−0.890376 + 0.455226i \(0.849559\pi\)
\(338\) 1.85110 0.0970120i 0.100687 0.00527676i
\(339\) −2.57389 + 8.91944i −0.139795 + 0.484438i
\(340\) −3.82441 3.90326i −0.207407 0.211684i
\(341\) 12.5986 3.19835i 0.682253 0.173201i
\(342\) 11.4350 13.0652i 0.618332 0.706484i
\(343\) −8.62914 16.9356i −0.465930 0.914439i
\(344\) 2.61204 2.90096i 0.140832 0.156409i
\(345\) 5.69785 + 3.94262i 0.306762 + 0.212264i
\(346\) −2.29321 + 3.97195i −0.123284 + 0.213534i
\(347\) −16.7400 4.48547i −0.898650 0.240793i −0.220214 0.975452i \(-0.570675\pi\)
−0.678436 + 0.734659i \(0.737342\pi\)
\(348\) 7.16961 6.21126i 0.384331 0.332958i
\(349\) 2.28834 + 3.14963i 0.122492 + 0.168596i 0.865859 0.500288i \(-0.166772\pi\)
−0.743367 + 0.668884i \(0.766772\pi\)
\(350\) −0.725517 8.58483i −0.0387805 0.458879i
\(351\) 12.8332 + 11.6731i 0.684984 + 0.623065i
\(352\) −2.17950 0.836630i −0.116167 0.0445925i
\(353\) 20.3449 + 13.2121i 1.08285 + 0.703210i 0.957364 0.288885i \(-0.0932847\pi\)
0.125485 + 0.992096i \(0.459951\pi\)
\(354\) −1.79120 + 10.0592i −0.0952011 + 0.534640i
\(355\) −4.76231 + 10.4091i −0.252757 + 0.552460i
\(356\) 12.0624 3.91931i 0.639306 0.207723i
\(357\) 6.60499 + 3.09353i 0.349573 + 0.163727i
\(358\) −5.05335 + 1.93980i −0.267078 + 0.102522i
\(359\) −20.5990 4.37844i −1.08717 0.231085i −0.370736 0.928738i \(-0.620894\pi\)
−0.716436 + 0.697653i \(0.754228\pi\)
\(360\) 3.33155 5.82244i 0.175588 0.306869i
\(361\) −13.2420 + 5.89574i −0.696949 + 0.310302i
\(362\) 8.54338 + 0.447739i 0.449030 + 0.0235327i
\(363\) −7.66722 5.79796i −0.402425 0.304314i
\(364\) −3.38137 4.65405i −0.177232 0.243939i
\(365\) −4.16932 5.25748i −0.218232 0.275189i
\(366\) 7.15195 4.45228i 0.373838 0.232725i
\(367\) −3.25236 + 0.871467i −0.169772 + 0.0454902i −0.342704 0.939444i \(-0.611343\pi\)
0.172932 + 0.984934i \(0.444676\pi\)
\(368\) −0.279867 1.76701i −0.0145891 0.0921117i
\(369\) −0.581116 + 0.738647i −0.0302517 + 0.0384524i
\(370\) 3.35680 9.98338i 0.174512 0.519011i
\(371\) 5.65128i 0.293400i
\(372\) 6.30800 7.29446i 0.327054 0.378200i
\(373\) 26.5823 26.5823i 1.37638 1.37638i 0.525720 0.850658i \(-0.323796\pi\)
0.850658 0.525720i \(-0.176204\pi\)
\(374\) 1.76302 5.42602i 0.0911637 0.280573i
\(375\) −1.06391 19.3357i −0.0549399 0.998490i
\(376\) 9.87383 + 7.17376i 0.509204 + 0.369958i
\(377\) −4.73241 17.6616i −0.243732 0.909618i
\(378\) −1.44533 + 8.83599i −0.0743400 + 0.454474i
\(379\) −6.88033 0.723152i −0.353419 0.0371458i −0.0738443 0.997270i \(-0.523527\pi\)
−0.279575 + 0.960124i \(0.590193\pi\)
\(380\) −10.5468 + 7.49945i −0.541038 + 0.384714i
\(381\) −2.45173 17.6610i −0.125606 0.904800i
\(382\) −0.0490416 + 0.935770i −0.00250919 + 0.0478782i
\(383\) −17.2160 6.60862i −0.879699 0.337685i −0.123749 0.992314i \(-0.539492\pi\)
−0.755950 + 0.654629i \(0.772825\pi\)
\(384\) −1.68131 + 0.416187i −0.0857988 + 0.0212384i
\(385\) 7.59336 4.82174i 0.386993 0.245739i
\(386\) 7.91179 17.7702i 0.402700 0.904478i
\(387\) −4.61213 + 10.7644i −0.234448 + 0.547187i
\(388\) 11.3634 + 5.78995i 0.576891 + 0.293940i
\(389\) 16.8395 + 7.49745i 0.853799 + 0.380136i 0.786495 0.617597i \(-0.211894\pi\)
0.0673038 + 0.997733i \(0.478560\pi\)
\(390\) −7.29011 10.6794i −0.369149 0.540773i
\(391\) 4.27656 0.909011i 0.216275 0.0459706i
\(392\) −1.44457 + 3.76324i −0.0729619 + 0.190072i
\(393\) 0.170762 8.92099i 0.00861382 0.450004i
\(394\) −5.77317 + 0.606785i −0.290848 + 0.0305694i
\(395\) 0.172181 + 0.242146i 0.00866339 + 0.0121837i
\(396\) 6.99854 + 0.268025i 0.351690 + 0.0134688i
\(397\) −1.46210 + 5.45664i −0.0733809 + 0.273861i −0.992861 0.119275i \(-0.961943\pi\)
0.919480 + 0.393136i \(0.128610\pi\)
\(398\) −26.6842 + 7.15000i −1.33756 + 0.358397i
\(399\) 9.68288 14.3034i 0.484750 0.716065i
\(400\) −3.42078 + 3.64668i −0.171039 + 0.182334i
\(401\) 18.9638 + 6.16171i 0.947007 + 0.307701i 0.741499 0.670954i \(-0.234115\pi\)
0.205508 + 0.978655i \(0.434115\pi\)
\(402\) −18.2855 + 19.5426i −0.911996 + 0.974696i
\(403\) −7.33611 17.0798i −0.365438 0.850804i
\(404\) 8.78649 0.437144
\(405\) −3.82998 + 19.7568i −0.190313 + 0.981723i
\(406\) 6.31448 7.01294i 0.313382 0.348046i
\(407\) 10.8611 1.72024i 0.538367 0.0852689i
\(408\) −1.23074 4.04996i −0.0609305 0.200503i
\(409\) −6.26964 + 3.61978i −0.310014 + 0.178987i −0.646933 0.762547i \(-0.723949\pi\)
0.336919 + 0.941534i \(0.390615\pi\)
\(410\) 0.548871 0.435269i 0.0271068 0.0214964i
\(411\) 7.45902 + 9.58035i 0.367926 + 0.472564i
\(412\) −5.68285 + 7.01773i −0.279974 + 0.345739i
\(413\) −0.531971 + 10.1506i −0.0261766 + 0.499479i
\(414\) 2.50371 + 4.74734i 0.123051 + 0.233319i
\(415\) −13.5260 8.98145i −0.663966 0.440882i
\(416\) −0.694137 + 3.26566i −0.0340329 + 0.160112i
\(417\) 2.12269 + 5.02427i 0.103948 + 0.246040i
\(418\) −12.0386 6.13398i −0.588828 0.300023i
\(419\) 1.68164 + 5.17556i 0.0821535 + 0.252842i 0.983693 0.179853i \(-0.0575624\pi\)
−0.901540 + 0.432696i \(0.857562\pi\)
\(420\) 2.57333 6.15739i 0.125565 0.300450i
\(421\) −6.26754 1.33221i −0.305461 0.0649278i 0.0526309 0.998614i \(-0.483239\pi\)
−0.358092 + 0.933686i \(0.616573\pi\)
\(422\) −0.891981 + 1.37353i −0.0434210 + 0.0668624i
\(423\) −34.9780 10.8230i −1.70069 0.526230i
\(424\) −2.43732 + 2.19458i −0.118367 + 0.106578i
\(425\) −9.33716 7.88195i −0.452919 0.382331i
\(426\) −6.99622 + 5.44708i −0.338968 + 0.263912i
\(427\) 6.51323 5.27431i 0.315197 0.255242i
\(428\) 4.30257 16.0574i 0.207973 0.776165i
\(429\) 6.35792 11.9090i 0.306963 0.574973i
\(430\) 5.20244 7.00901i 0.250884 0.338004i
\(431\) −12.3854 11.1519i −0.596585 0.537167i 0.314569 0.949235i \(-0.398140\pi\)
−0.911153 + 0.412068i \(0.864807\pi\)
\(432\) 4.37212 2.80795i 0.210354 0.135098i
\(433\) 11.5425 11.5425i 0.554699 0.554699i −0.373094 0.927793i \(-0.621703\pi\)
0.927793 + 0.373094i \(0.121703\pi\)
\(434\) 5.33076 7.97639i 0.255885 0.382879i
\(435\) 14.6494 15.3398i 0.702386 0.735487i
\(436\) −2.23426 + 6.87636i −0.107002 + 0.329318i
\(437\) −0.541889 10.3399i −0.0259221 0.494623i
\(438\) −0.983137 5.10373i −0.0469761 0.243866i
\(439\) 20.1638 + 11.6416i 0.962364 + 0.555621i 0.896900 0.442234i \(-0.145814\pi\)
0.0654643 + 0.997855i \(0.479147\pi\)
\(440\) −5.02830 1.40248i −0.239715 0.0668604i
\(441\) 0.462787 12.0841i 0.0220375 0.575431i
\(442\) −8.05856 1.27635i −0.383307 0.0607098i
\(443\) −13.1119 + 16.1919i −0.622966 + 0.769299i −0.986761 0.162180i \(-0.948147\pi\)
0.363795 + 0.931479i \(0.381481\pi\)
\(444\) 5.87830 5.65749i 0.278972 0.268492i
\(445\) 26.0249 11.2702i 1.23370 0.534261i
\(446\) 3.86587 + 18.1875i 0.183054 + 0.861203i
\(447\) −22.1452 + 15.4507i −1.04743 + 0.730792i
\(448\) −1.60864 + 0.617499i −0.0760011 + 0.0291741i
\(449\) −6.86317 21.1227i −0.323893 0.996840i −0.971938 0.235238i \(-0.924413\pi\)
0.648045 0.761602i \(-0.275587\pi\)
\(450\) 6.18763 13.6643i 0.291688 0.644141i
\(451\) 0.668138 + 0.297474i 0.0314614 + 0.0140075i
\(452\) 4.49508 2.91914i 0.211431 0.137305i
\(453\) 3.99306 6.62026i 0.187610 0.311047i
\(454\) −8.31947 18.6858i −0.390452 0.876969i
\(455\) −8.50936 9.64677i −0.398925 0.452247i
\(456\) −9.92904 + 1.37837i −0.464970 + 0.0645480i
\(457\) −31.9054 5.05331i −1.49247 0.236384i −0.643754 0.765233i \(-0.722624\pi\)
−0.848716 + 0.528849i \(0.822624\pi\)
\(458\) 5.54558 4.49072i 0.259128 0.209838i
\(459\) 7.41194 + 10.3109i 0.345960 + 0.481273i
\(460\) −0.995897 3.87446i −0.0464340 0.180648i
\(461\) −16.6883 + 22.9695i −0.777251 + 1.06979i 0.218329 + 0.975875i \(0.429940\pi\)
−0.995580 + 0.0939191i \(0.970060\pi\)
\(462\) 6.94192 0.595547i 0.322967 0.0277074i
\(463\) −17.3892 34.1282i −0.808143 1.58607i −0.810258 0.586073i \(-0.800673\pi\)
0.00211489 0.999998i \(-0.499327\pi\)
\(464\) −5.47671 −0.254250
\(465\) 12.5028 17.5693i 0.579804 0.814756i
\(466\) 27.7426 1.28515
\(467\) 17.9315 + 35.1925i 0.829770 + 1.62852i 0.776654 + 0.629927i \(0.216915\pi\)
0.0531155 + 0.998588i \(0.483085\pi\)
\(468\) −1.18710 9.94525i −0.0548735 0.459719i
\(469\) −15.6496 + 21.5398i −0.722632 + 0.994618i
\(470\) 23.4939 + 13.8858i 1.08369 + 0.640502i
\(471\) −7.22628 11.6080i −0.332969 0.534867i
\(472\) 4.58441 3.71238i 0.211014 0.170876i
\(473\) 9.00104 + 1.42562i 0.413868 + 0.0655503i
\(474\) 0.0316462 + 0.227963i 0.00145356 + 0.0104707i
\(475\) −21.8954 + 18.9201i −1.00463 + 0.868114i
\(476\) −1.71274 3.84688i −0.0785033 0.176321i
\(477\) 4.79915 8.58945i 0.219738 0.393284i
\(478\) 23.6657 15.3687i 1.08244 0.702948i
\(479\) −2.40039 1.06872i −0.109677 0.0488312i 0.351165 0.936314i \(-0.385786\pi\)
−0.460841 + 0.887482i \(0.652452\pi\)
\(480\) −3.65491 + 1.28127i −0.166823 + 0.0584818i
\(481\) −4.85960 14.9563i −0.221578 0.681948i
\(482\) −2.88180 + 1.10622i −0.131262 + 0.0503868i
\(483\) 3.05513 + 4.37888i 0.139013 + 0.199246i
\(484\) 1.15388 + 5.42857i 0.0524490 + 0.246753i
\(485\) 26.5178 + 10.4909i 1.20411 + 0.476369i
\(486\) −9.70042 + 12.2025i −0.440020 + 0.553518i
\(487\) −5.12353 + 6.32703i −0.232169 + 0.286705i −0.879895 0.475169i \(-0.842387\pi\)
0.647726 + 0.761874i \(0.275720\pi\)
\(488\) −4.80404 0.760885i −0.217469 0.0344436i
\(489\) 20.3427 + 1.45697i 0.919930 + 0.0658866i
\(490\) −2.42159 + 8.68214i −0.109396 + 0.392219i
\(491\) 5.72142 + 3.30326i 0.258204 + 0.149074i 0.623515 0.781811i \(-0.285704\pi\)
−0.365311 + 0.930886i \(0.619037\pi\)
\(492\) 0.532820 0.102638i 0.0240214 0.00462727i
\(493\) −0.700472 13.3658i −0.0315477 0.601966i
\(494\) −5.97091 + 18.3766i −0.268644 + 0.826801i
\(495\) 15.6359 0.880243i 0.702782 0.0395640i
\(496\) −5.51022 + 0.798404i −0.247416 + 0.0358494i
\(497\) −6.23723 + 6.23723i −0.279778 + 0.279778i
\(498\) −6.07872 11.0100i −0.272394 0.493372i
\(499\) −15.4531 13.9140i −0.691775 0.622877i 0.246347 0.969182i \(-0.420770\pi\)
−0.938122 + 0.346305i \(0.887436\pi\)
\(500\) −6.84541 + 8.83970i −0.306136 + 0.395323i
\(501\) −35.7821 19.1031i −1.59863 0.853465i
\(502\) 5.22067 19.4838i 0.233010 0.869604i
\(503\) 12.2162 9.89249i 0.544694 0.441085i −0.317064 0.948404i \(-0.602697\pi\)
0.861758 + 0.507320i \(0.169364\pi\)
\(504\) 3.97107 3.30936i 0.176885 0.147411i
\(505\) 19.5595 1.85420i 0.870386 0.0825108i
\(506\) 3.10382 2.79469i 0.137982 0.124239i
\(507\) 3.03391 + 1.05039i 0.134741 + 0.0466492i
\(508\) −5.60671 + 8.63358i −0.248758 + 0.383053i
\(509\) 11.6328 + 2.47262i 0.515614 + 0.109597i 0.458367 0.888763i \(-0.348435\pi\)
0.0572466 + 0.998360i \(0.481768\pi\)
\(510\) −3.59438 8.75586i −0.159162 0.387716i
\(511\) −1.59782 4.91759i −0.0706834 0.217541i
\(512\) 0.891007 + 0.453990i 0.0393773 + 0.0200637i
\(513\) 26.8637 13.5170i 1.18606 0.596792i
\(514\) −3.89619 + 18.3301i −0.171853 + 0.808506i
\(515\) −11.1696 + 16.8213i −0.492190 + 0.741236i
\(516\) 6.08199 2.95370i 0.267745 0.130029i
\(517\) −1.49119 + 28.4536i −0.0655824 + 1.25139i
\(518\) 5.10776 6.30755i 0.224422 0.277138i
\(519\) −6.26812 + 4.88020i −0.275140 + 0.214217i
\(520\) −0.856064 + 7.41613i −0.0375409 + 0.325219i
\(521\) −25.9297 + 14.9705i −1.13600 + 0.655870i −0.945437 0.325804i \(-0.894365\pi\)
−0.190564 + 0.981675i \(0.561032\pi\)
\(522\) 15.5529 5.29671i 0.680734 0.231831i
\(523\) 21.9252 3.47262i 0.958723 0.151847i 0.342587 0.939486i \(-0.388697\pi\)
0.616137 + 0.787639i \(0.288697\pi\)
\(524\) −3.44701 + 3.82829i −0.150583 + 0.167240i
\(525\) 4.42906 14.2499i 0.193300 0.621918i
\(526\) 27.9888 1.22037
\(527\) −2.65325 13.3455i −0.115577 0.581338i
\(528\) −2.95263 2.76269i −0.128497 0.120231i
\(529\) −18.8303 6.11834i −0.818709 0.266015i
\(530\) −4.96258 + 5.39967i −0.215561 + 0.234547i
\(531\) −9.42858 + 14.9763i −0.409165 + 0.649915i
\(532\) −9.63257 + 2.58104i −0.417625 + 0.111902i
\(533\) 0.270704 1.01028i 0.0117255 0.0437601i
\(534\) 21.9118 + 1.56935i 0.948215 + 0.0679123i
\(535\) 6.18933 36.6532i 0.267588 1.58466i
\(536\) 15.3671 1.61515i 0.663758 0.0697638i
\(537\) −9.37365 0.179427i −0.404503 0.00774285i
\(538\) −6.24885 + 16.2788i −0.269407 + 0.701829i
\(539\) −9.20489 + 1.95656i −0.396482 + 0.0842749i
\(540\) 9.14016 7.17338i 0.393330 0.308693i
\(541\) −33.2072 14.7848i −1.42769 0.635648i −0.460029 0.887904i \(-0.652161\pi\)
−0.967661 + 0.252256i \(0.918828\pi\)
\(542\) 28.9667 + 14.7593i 1.24423 + 0.633965i
\(543\) 13.4190 + 6.28494i 0.575863 + 0.269712i
\(544\) −0.993995 + 2.23255i −0.0426172 + 0.0957198i
\(545\) −3.52256 + 15.7789i −0.150890 + 0.675893i
\(546\) −2.39421 9.67209i −0.102463 0.413927i
\(547\) −0.913145 0.350524i −0.0390433 0.0149873i 0.338768 0.940870i \(-0.389990\pi\)
−0.377811 + 0.925883i \(0.623323\pi\)
\(548\) 0.366875 7.00039i 0.0156721 0.299042i
\(549\) 14.3785 2.48536i 0.613661 0.106073i
\(550\) −11.4894 2.06092i −0.489910 0.0878779i
\(551\) −31.5228 3.31318i −1.34292 0.141146i
\(552\) 0.702145 3.01810i 0.0298853 0.128459i
\(553\) 0.0592587 + 0.221156i 0.00251993 + 0.00940452i
\(554\) −14.4335 10.4866i −0.613222 0.445532i
\(555\) 11.8917 13.8346i 0.504776 0.587244i
\(556\) 0.973102 2.99490i 0.0412687 0.127012i
\(557\) −0.784001 + 0.784001i −0.0332192 + 0.0332192i −0.723521 0.690302i \(-0.757478\pi\)
0.690302 + 0.723521i \(0.257478\pi\)
\(558\) 14.8759 7.59646i 0.629749 0.321584i
\(559\) 13.0327i 0.551225i
\(560\) −3.45066 + 1.71408i −0.145817 + 0.0724329i
\(561\) 6.36465 7.55918i 0.268716 0.319149i
\(562\) −1.91723 12.1049i −0.0808734 0.510615i
\(563\) 17.1416 4.59309i 0.722434 0.193575i 0.121176 0.992631i \(-0.461333\pi\)
0.601257 + 0.799056i \(0.294667\pi\)
\(564\) 11.1718 + 17.9459i 0.470419 + 0.755660i
\(565\) 9.39042 7.44685i 0.395058 0.313291i
\(566\) −6.56775 9.03974i −0.276063 0.379968i
\(567\) −8.07656 + 13.2386i −0.339184 + 0.555969i
\(568\) 5.11216 + 0.267917i 0.214501 + 0.0112415i
\(569\) −1.28464 + 0.571959i −0.0538550 + 0.0239778i −0.433487 0.901160i \(-0.642717\pi\)
0.379632 + 0.925137i \(0.376050\pi\)
\(570\) −21.8120 + 5.16368i −0.913605 + 0.216283i
\(571\) 27.7205 + 5.89217i 1.16007 + 0.246580i 0.747445 0.664323i \(-0.231280\pi\)
0.412621 + 0.910903i \(0.364613\pi\)
\(572\) −7.27650 + 2.79319i −0.304246 + 0.116789i
\(573\) −0.688399 + 1.46980i −0.0287583 + 0.0614019i
\(574\) 0.513387 0.166810i 0.0214284 0.00696250i
\(575\) −3.03458 8.41472i −0.126551 0.350918i
\(576\) −2.96938 0.427535i −0.123724 0.0178139i
\(577\) −15.0268 9.75855i −0.625576 0.406254i 0.192555 0.981286i \(-0.438323\pi\)
−0.818130 + 0.575033i \(0.804989\pi\)
\(578\) 10.2952 + 3.95197i 0.428225 + 0.164380i
\(579\) 24.2752 23.3633i 1.00884 0.970945i
\(580\) −12.1916 + 1.15574i −0.506230 + 0.0479895i
\(581\) −7.35411 10.1221i −0.305100 0.419934i
\(582\) 14.4640 + 16.6957i 0.599552 + 0.692059i
\(583\) −7.39585 1.98171i −0.306305 0.0820741i
\(584\) −1.50041 + 2.59878i −0.0620872 + 0.107538i
\(585\) −4.74131 21.8885i −0.196029 0.904978i
\(586\) 6.01990 6.68577i 0.248680 0.276187i
\(587\) 11.3298 + 22.2360i 0.467631 + 0.917778i 0.997565 + 0.0697392i \(0.0222167\pi\)
−0.529934 + 0.848039i \(0.677783\pi\)
\(588\) −4.77021 + 5.09817i −0.196720 + 0.210245i
\(589\) −32.1987 + 1.26200i −1.32673 + 0.0519996i
\(590\) 9.42187 9.23152i 0.387892 0.380056i
\(591\) −9.66033 2.78769i −0.397373 0.114670i
\(592\) −4.70387 + 0.246520i −0.193328 + 0.0101319i
\(593\) 0.0823077 + 0.519670i 0.00337997 + 0.0213403i 0.989321 0.145755i \(-0.0465612\pi\)
−0.985941 + 0.167095i \(0.946561\pi\)
\(594\) 11.0569 + 4.98999i 0.453668 + 0.204742i
\(595\) −4.62451 8.20205i −0.189586 0.336251i
\(596\) 15.5045 + 1.62959i 0.635089 + 0.0667505i
\(597\) −47.4822 5.91136i −1.94332 0.241936i
\(598\) −4.64182 3.75887i −0.189818 0.153712i
\(599\) −16.5197 18.3470i −0.674977 0.749638i 0.304209 0.952605i \(-0.401608\pi\)
−0.979185 + 0.202968i \(0.934941\pi\)
\(600\) −7.86576 + 3.62351i −0.321118 + 0.147929i
\(601\) −35.6968 + 7.58758i −1.45610 + 0.309504i −0.866900 0.498482i \(-0.833891\pi\)
−0.589202 + 0.807986i \(0.700558\pi\)
\(602\) 5.64114 3.66340i 0.229916 0.149309i
\(603\) −42.0780 + 19.4488i −1.71355 + 0.792017i
\(604\) −4.24518 + 1.37934i −0.172734 + 0.0561247i
\(605\) 3.71422 + 11.8410i 0.151004 + 0.481404i
\(606\) 14.1009 + 5.72479i 0.572808 + 0.232554i
\(607\) 24.3097 + 37.4336i 0.986698 + 1.51938i 0.848649 + 0.528957i \(0.177417\pi\)
0.138050 + 0.990425i \(0.455917\pi\)
\(608\) 4.85381 + 3.15210i 0.196848 + 0.127835i
\(609\) 14.7029 7.14044i 0.595793 0.289345i
\(610\) −10.8548 0.680008i −0.439497 0.0275327i
\(611\) 40.5237 4.25921i 1.63941 0.172309i
\(612\) 0.663606 7.30140i 0.0268247 0.295141i
\(613\) −7.43758 9.18465i −0.300401 0.370965i 0.604486 0.796616i \(-0.293378\pi\)
−0.904887 + 0.425651i \(0.860045\pi\)
\(614\) −3.25908 5.64488i −0.131526 0.227809i
\(615\) 1.16444 0.340921i 0.0469549 0.0137473i
\(616\) −3.25439 2.36445i −0.131123 0.0952664i
\(617\) −0.839078 16.0106i −0.0337800 0.644561i −0.962086 0.272745i \(-0.912069\pi\)
0.928306 0.371816i \(-0.121265\pi\)
\(618\) −13.6924 + 7.55966i −0.550789 + 0.304094i
\(619\) 38.2724i 1.53830i −0.639070 0.769149i \(-0.720681\pi\)
0.639070 0.769149i \(-0.279319\pi\)
\(620\) −12.0978 + 2.94013i −0.485857 + 0.118079i
\(621\) 0.924932 + 9.24997i 0.0371163 + 0.371189i
\(622\) −16.9715 + 8.64740i −0.680494 + 0.346729i
\(623\) 21.8242 1.14376i 0.874370 0.0458238i
\(624\) −3.24170 + 4.78858i −0.129772 + 0.191697i
\(625\) −13.3731 + 21.1225i −0.534922 + 0.844901i
\(626\) −9.04620 + 5.22283i −0.361559 + 0.208746i
\(627\) −15.3234 17.6877i −0.611958 0.706379i
\(628\) −1.23495 + 7.79719i −0.0492800 + 0.311142i
\(629\) −1.20325 11.4482i −0.0479768 0.456469i
\(630\) 8.14157 8.20494i 0.324368 0.326893i
\(631\) −31.6625 + 14.0970i −1.26046 + 0.561194i −0.924680 0.380745i \(-0.875668\pi\)
−0.335783 + 0.941939i \(0.609001\pi\)
\(632\) 0.0723698 0.111440i 0.00287872 0.00443283i
\(633\) −2.32640 + 1.62312i −0.0924660 + 0.0645133i
\(634\) −7.22919 + 16.2370i −0.287108 + 0.644855i
\(635\) −10.6591 + 20.4023i −0.422994 + 0.809640i
\(636\) −5.34136 + 1.93391i −0.211799 + 0.0766843i
\(637\) 4.82287 + 12.5640i 0.191089 + 0.497804i
\(638\) −6.96358 10.7230i −0.275691 0.424527i
\(639\) −14.7768 + 4.18330i −0.584561 + 0.165489i
\(640\) 2.07926 + 0.822595i 0.0821901 + 0.0325159i
\(641\) −3.17678 + 2.86039i −0.125475 + 0.112979i −0.729480 0.684003i \(-0.760238\pi\)
0.604004 + 0.796981i \(0.293571\pi\)
\(642\) 17.3670 22.9662i 0.685422 0.906402i
\(643\) −6.17182 + 38.9673i −0.243393 + 1.53672i 0.498908 + 0.866655i \(0.333735\pi\)
−0.742301 + 0.670067i \(0.766265\pi\)
\(644\) 0.322226 3.06578i 0.0126975 0.120809i
\(645\) 12.9157 7.85867i 0.508556 0.309435i
\(646\) −7.07184 + 12.2488i −0.278238 + 0.481922i
\(647\) 34.6453 5.48727i 1.36205 0.215727i 0.567721 0.823221i \(-0.307825\pi\)
0.794324 + 0.607494i \(0.207825\pi\)
\(648\) 8.84603 1.65766i 0.347505 0.0651191i
\(649\) 13.0976 + 4.25566i 0.514125 + 0.167049i
\(650\) −0.340659 + 16.6896i −0.0133617 + 0.654620i
\(651\) 13.7520 9.32755i 0.538982 0.365576i
\(652\) −8.32616 8.32616i −0.326078 0.326078i
\(653\) 13.1479 6.69919i 0.514517 0.262160i −0.177397 0.984139i \(-0.556768\pi\)
0.691914 + 0.721980i \(0.256768\pi\)
\(654\) −8.06587 + 9.57969i −0.315401 + 0.374595i
\(655\) −6.86547 + 9.24954i −0.268256 + 0.361409i
\(656\) −0.271308 0.156640i −0.0105928 0.00611575i
\(657\) 1.74753 8.83119i 0.0681778 0.344538i
\(658\) 13.2345 + 16.3432i 0.515934 + 0.637125i
\(659\) −29.6624 + 21.5510i −1.15548 + 0.839507i −0.989200 0.146571i \(-0.953176\pi\)
−0.166282 + 0.986078i \(0.553176\pi\)
\(660\) −7.15581 5.52690i −0.278539 0.215134i
\(661\) −5.14982 5.71945i −0.200305 0.222461i 0.634621 0.772823i \(-0.281156\pi\)
−0.834926 + 0.550363i \(0.814490\pi\)
\(662\) 2.22005 5.78343i 0.0862848 0.224780i
\(663\) −12.1010 7.29884i −0.469966 0.283464i
\(664\) −1.50967 + 7.10245i −0.0585867 + 0.275629i
\(665\) −20.8983 + 7.77837i −0.810401 + 0.301632i
\(666\) 13.1198 5.24935i 0.508382 0.203408i
\(667\) 4.44821 8.73010i 0.172235 0.338031i
\(668\) 8.39247 + 21.8631i 0.324714 + 0.845910i
\(669\) −5.64588 + 31.7067i −0.218282 + 1.22585i
\(670\) 33.8677 6.83836i 1.30842 0.264189i
\(671\) −4.61853 10.3734i −0.178296 0.400460i
\(672\) −2.98393 0.0571173i −0.115107 0.00220335i
\(673\) 5.75359 + 4.65916i 0.221785 + 0.179598i 0.733773 0.679395i \(-0.237758\pi\)
−0.511988 + 0.858992i \(0.671091\pi\)
\(674\) 9.21795 6.69723i 0.355062 0.257968i
\(675\) 18.8330 17.8974i 0.724883 0.688872i
\(676\) −0.926820 1.60530i −0.0356469 0.0617423i
\(677\) −6.89857 25.7458i −0.265134 0.989492i −0.962169 0.272455i \(-0.912164\pi\)
0.697035 0.717037i \(-0.254502\pi\)
\(678\) 9.11580 1.75599i 0.350090 0.0674383i
\(679\) 16.3309 + 14.7044i 0.626721 + 0.564302i
\(680\) −1.74159 + 5.17961i −0.0667869 + 0.198629i
\(681\) −1.17671 35.4081i −0.0450917 1.35684i
\(682\) −8.56941 9.77343i −0.328140 0.374244i
\(683\) 29.3740 + 29.3740i 1.12396 + 1.12396i 0.991140 + 0.132824i \(0.0424045\pi\)
0.132824 + 0.991140i \(0.457596\pi\)
\(684\) −16.8325 4.25716i −0.643607 0.162776i
\(685\) −0.660586 15.6609i −0.0252397 0.598372i
\(686\) −11.1722 + 15.3772i −0.426557 + 0.587106i
\(687\) 11.8256 3.59367i 0.451176 0.137107i
\(688\) −3.77062 1.01033i −0.143753 0.0385186i
\(689\) −1.14457 + 10.8898i −0.0436045 + 0.414869i
\(690\) 0.926132 6.86673i 0.0352572 0.261412i
\(691\) 2.94115 + 27.9832i 0.111887 + 1.06453i 0.896043 + 0.443968i \(0.146430\pi\)
−0.784156 + 0.620564i \(0.786904\pi\)
\(692\) 4.58013 + 0.240035i 0.174110 + 0.00912474i
\(693\) 11.5287 + 3.56722i 0.437937 + 0.135507i
\(694\) 3.60322 + 16.9518i 0.136776 + 0.643482i
\(695\) 1.53420 6.87227i 0.0581956 0.260680i
\(696\) −8.78920 3.56832i −0.333154 0.135257i
\(697\) 0.347576 0.682156i 0.0131654 0.0258385i
\(698\) 1.76746 3.46883i 0.0668993 0.131297i
\(699\) 44.5222 + 18.0755i 1.68399 + 0.683679i
\(700\) −7.31976 + 4.54387i −0.276661 + 0.171742i
\(701\) −8.21347 38.6413i −0.310218 1.45946i −0.806465 0.591281i \(-0.798622\pi\)
0.496247 0.868181i \(-0.334711\pi\)
\(702\) 4.57468 16.7339i 0.172660 0.631581i
\(703\) −27.2237 1.42673i −1.02676 0.0538103i
\(704\) 0.244028 + 2.32177i 0.00919713 + 0.0875049i
\(705\) 28.6566 + 37.5916i 1.07927 + 1.41578i
\(706\) 2.53570 24.1256i 0.0954324 0.907979i
\(707\) 14.6240 + 3.91849i 0.549992 + 0.147370i
\(708\) 9.77599 2.97080i 0.367404 0.111650i
\(709\) 21.2804 29.2900i 0.799202 1.10001i −0.193698 0.981061i \(-0.562048\pi\)
0.992901 0.118947i \(-0.0379517\pi\)
\(710\) 11.4367 0.482405i 0.429210 0.0181043i
\(711\) −0.0977410 + 0.386461i −0.00366557 + 0.0144934i
\(712\) −8.96835 8.96835i −0.336103 0.336103i
\(713\) 3.20274 9.43199i 0.119944 0.353231i
\(714\) −0.242251 7.28952i −0.00906603 0.272804i
\(715\) −15.6087 + 7.75343i −0.583732 + 0.289962i
\(716\) 4.02255 + 3.62192i 0.150330 + 0.135357i
\(717\) 47.9929 9.24493i 1.79233 0.345258i
\(718\) 5.45051 + 20.3416i 0.203411 + 0.759141i
\(719\) 24.8506 + 43.0425i 0.926772 + 1.60522i 0.788687 + 0.614795i \(0.210761\pi\)
0.138085 + 0.990420i \(0.455905\pi\)
\(720\) −6.70032 0.325106i −0.249706 0.0121160i
\(721\) −12.5881 + 9.14576i −0.468804 + 0.340606i
\(722\) 11.2649 + 9.12213i 0.419236 + 0.339491i
\(723\) −5.34555 0.102323i −0.198803 0.00380542i
\(724\) −3.47967 7.81547i −0.129321 0.290460i
\(725\) −26.8958 + 5.14556i −0.998883 + 0.191101i
\(726\) −1.68517 + 9.46376i −0.0625426 + 0.351233i
\(727\) −0.157144 0.409375i −0.00582816 0.0151829i 0.930635 0.365948i \(-0.119255\pi\)
−0.936464 + 0.350765i \(0.885922\pi\)
\(728\) −2.61168 + 5.12572i −0.0967954 + 0.189972i
\(729\) −23.5181 + 13.2628i −0.871039 + 0.491214i
\(730\) −2.79162 + 6.10174i −0.103322 + 0.225835i
\(731\) 1.98344 9.33134i 0.0733601 0.345132i
\(732\) −7.21393 4.35114i −0.266635 0.160823i
\(733\) −1.74268 + 4.53982i −0.0643672 + 0.167682i −0.961992 0.273079i \(-0.911958\pi\)
0.897625 + 0.440761i \(0.145291\pi\)
\(734\) 2.25302 + 2.50224i 0.0831606 + 0.0923592i
\(735\) −9.54305 + 12.3556i −0.352001 + 0.455744i
\(736\) −1.44736 + 1.05157i −0.0533504 + 0.0387613i
\(737\) 22.7015 + 28.0340i 0.836219 + 1.03264i
\(738\) 0.921960 + 0.182439i 0.0339378 + 0.00671569i
\(739\) 0.0308567 + 0.0178151i 0.00113508 + 0.000655339i 0.500567 0.865698i \(-0.333125\pi\)
−0.499432 + 0.866353i \(0.666458\pi\)
\(740\) −10.4192 + 1.54143i −0.383018 + 0.0566639i
\(741\) −21.5555 + 25.6010i −0.791859 + 0.940477i
\(742\) −5.03533 + 2.56563i −0.184853 + 0.0941872i
\(743\) −31.3797 31.3797i −1.15121 1.15121i −0.986311 0.164897i \(-0.947271\pi\)
−0.164897 0.986311i \(-0.552729\pi\)
\(744\) −9.36318 2.30885i −0.343271 0.0846465i
\(745\) 34.8583 + 0.355716i 1.27711 + 0.0130324i
\(746\) −35.7531 11.6169i −1.30901 0.425324i
\(747\) −2.58180 21.6298i −0.0944633 0.791394i
\(748\) −5.63502 + 0.892499i −0.206037 + 0.0326330i
\(749\) 14.3222 24.8067i 0.523321 0.906419i
\(750\) −16.7452 + 9.72616i −0.611448 + 0.355149i
\(751\) −0.174462 + 1.65989i −0.00636621 + 0.0605704i −0.997244 0.0741948i \(-0.976361\pi\)
0.990878 + 0.134765i \(0.0430280\pi\)
\(752\) 1.90924 12.0545i 0.0696228 0.439581i
\(753\) 21.0729 27.8667i 0.767938 1.01552i
\(754\) −13.5881 + 12.2348i −0.494850 + 0.445565i
\(755\) −9.15907 + 3.96639i −0.333333 + 0.144352i
\(756\) 8.52910 2.72365i 0.310200 0.0990583i
\(757\) 20.9936 + 32.3272i 0.763024 + 1.17495i 0.980043 + 0.198786i \(0.0636999\pi\)
−0.217019 + 0.976167i \(0.569633\pi\)
\(758\) 2.47927 + 6.45872i 0.0900512 + 0.234591i
\(759\) 6.80198 2.46274i 0.246896 0.0893918i
\(760\) 11.4702 + 5.99256i 0.416068 + 0.217373i
\(761\) −7.48583 + 16.8134i −0.271361 + 0.609487i −0.996899 0.0786957i \(-0.974924\pi\)
0.725538 + 0.688182i \(0.241591\pi\)
\(762\) −14.6230 + 10.2024i −0.529735 + 0.369595i
\(763\) −6.78528 + 10.4484i −0.245644 + 0.378258i
\(764\) 0.856042 0.381134i 0.0309705 0.0137890i
\(765\) −0.0635577 16.3936i −0.00229793 0.592712i
\(766\) 1.92760 + 18.3399i 0.0696469 + 0.662646i
\(767\) 3.08091 19.4521i 0.111245 0.702375i
\(768\) 1.13412 + 1.30911i 0.0409241 + 0.0472384i
\(769\) −31.3690 + 18.1109i −1.13119 + 0.653095i −0.944235 0.329272i \(-0.893197\pi\)
−0.186959 + 0.982368i \(0.559863\pi\)
\(770\) −7.74351 4.57670i −0.279057 0.164933i
\(771\) −18.1956 + 26.8782i −0.655299 + 0.967996i
\(772\) −19.4252 + 1.01803i −0.699129 + 0.0366398i
\(773\) 21.0526 10.7269i 0.757211 0.385818i −0.0323613 0.999476i \(-0.510303\pi\)
0.789572 + 0.613658i \(0.210303\pi\)
\(774\) 11.6850 0.777512i 0.420010 0.0279471i
\(775\) −26.3102 + 9.09796i −0.945091 + 0.326808i
\(776\) 12.7535i 0.457823i
\(777\) 12.3067 6.79464i 0.441502 0.243756i
\(778\) −0.964718 18.4079i −0.0345868 0.659956i
\(779\) −1.46683 1.06572i −0.0525547 0.0381832i
\(780\) −6.20578 + 11.3439i −0.222202 + 0.406176i
\(781\) 5.97550 + 10.3499i 0.213820 + 0.370347i
\(782\) −2.75145 3.39776i −0.0983917 0.121504i
\(783\) 28.4109 + 1.63309i 1.01532 + 0.0583619i
\(784\) 4.00889 0.421351i 0.143175 0.0150483i
\(785\) −1.10369 + 17.6178i −0.0393922 + 0.628808i
\(786\) −8.02618 + 3.89789i −0.286284 + 0.139033i
\(787\) −7.20356 4.67805i −0.256779 0.166754i 0.409830 0.912162i \(-0.365588\pi\)
−0.666609 + 0.745408i \(0.732255\pi\)
\(788\) 3.16161 + 4.86846i 0.112628 + 0.173432i
\(789\) 44.9174 + 18.2359i 1.59910 + 0.649217i
\(790\) 0.137585 0.263347i 0.00489504 0.00936945i
\(791\) 8.78334 2.85388i 0.312299 0.101472i
\(792\) −2.93846 6.35742i −0.104414 0.225901i
\(793\) −13.6190 + 8.84427i −0.483624 + 0.314069i
\(794\) 5.52569 1.17452i 0.196099 0.0416822i
\(795\) −11.4822 + 5.43222i −0.407233 + 0.192661i
\(796\) 18.4851 + 20.5297i 0.655186 + 0.727658i
\(797\) 30.8562 + 24.9868i 1.09298 + 0.885079i 0.993931 0.110003i \(-0.0350861\pi\)
0.0990506 + 0.995082i \(0.468419\pi\)
\(798\) −17.1403 2.13391i −0.606761 0.0755396i
\(799\) 29.6629 + 3.11770i 1.04940 + 0.110296i
\(800\) 4.80221 + 1.39238i 0.169784 + 0.0492282i
\(801\) 34.1422 + 16.7950i 1.20636 + 0.593423i
\(802\) −3.11926 19.6942i −0.110145 0.695427i
\(803\) −6.99596 + 0.366643i −0.246882 + 0.0129385i
\(804\) 25.7140 + 7.42031i 0.906863 + 0.261694i
\(805\) 0.0703374 6.89269i 0.00247907 0.242935i
\(806\) −11.8877 + 14.2906i −0.418725 + 0.503364i
\(807\) −20.6347 + 22.0534i −0.726377 + 0.776315i
\(808\) −3.98898 7.82882i −0.140332 0.275417i
\(809\) −16.1304 + 17.9146i −0.567114 + 0.629843i −0.956675 0.291157i \(-0.905960\pi\)
0.389562 + 0.921000i \(0.372626\pi\)
\(810\) 19.3422 5.55686i 0.679616 0.195248i
\(811\) 7.95674 13.7815i 0.279399 0.483933i −0.691837 0.722054i \(-0.743198\pi\)
0.971235 + 0.238121i \(0.0765315\pi\)
\(812\) −9.11529 2.44243i −0.319884 0.0857127i
\(813\) 36.8704 + 42.5593i 1.29310 + 1.49262i
\(814\) −6.46359 8.89637i −0.226549 0.311818i
\(815\) −20.2918 16.7777i −0.710792 0.587697i
\(816\) −3.04980 + 2.93524i −0.106764 + 0.102754i
\(817\) −21.0917 8.09635i −0.737905 0.283255i
\(818\) 6.07161 + 3.94295i 0.212289 + 0.137862i
\(819\) 2.45949 17.0820i 0.0859415 0.596894i
\(820\) −0.637010 0.291440i −0.0222454 0.0101775i
\(821\) −22.1617 + 7.20077i −0.773448 + 0.251309i −0.669040 0.743226i \(-0.733295\pi\)
−0.104408 + 0.994535i \(0.533295\pi\)
\(822\) 5.14984 10.9954i 0.179621 0.383509i
\(823\) 30.9996 11.8996i 1.08058 0.414795i 0.248033 0.968752i \(-0.420216\pi\)
0.832546 + 0.553956i \(0.186883\pi\)
\(824\) 8.83280 + 1.87747i 0.307705 + 0.0654048i
\(825\) −17.0958 10.7933i −0.595199 0.375774i
\(826\) 9.28577 4.13429i 0.323093 0.143850i
\(827\) 23.1936 + 1.21553i 0.806522 + 0.0422680i 0.451140 0.892453i \(-0.351018\pi\)
0.355382 + 0.934721i \(0.384351\pi\)
\(828\) 3.09325 4.38607i 0.107498 0.152426i
\(829\) 20.6406 + 28.4094i 0.716878 + 0.986698i 0.999622 + 0.0275029i \(0.00875554\pi\)
−0.282743 + 0.959196i \(0.591244\pi\)
\(830\) −1.86185 + 16.1293i −0.0646256 + 0.559855i
\(831\) −16.3310 26.2333i −0.566514 0.910023i
\(832\) 3.22486 0.864098i 0.111802 0.0299572i
\(833\) 1.54104 + 9.72973i 0.0533938 + 0.337115i
\(834\) 3.51298 4.17230i 0.121644 0.144475i
\(835\) 23.2961 + 46.8982i 0.806195 + 1.62298i
\(836\) 13.5113i 0.467296i
\(837\) 28.8228 2.49871i 0.996263 0.0863680i
\(838\) 3.84801 3.84801i 0.132927 0.132927i
\(839\) 12.0123 36.9702i 0.414712 1.27635i −0.497797 0.867294i \(-0.665857\pi\)
0.912508 0.409058i \(-0.134143\pi\)
\(840\) −6.65454 + 0.502546i −0.229603 + 0.0173395i
\(841\) −0.804431 0.584453i −0.0277390 0.0201536i
\(842\) 1.65840 + 6.18923i 0.0571522 + 0.213295i
\(843\) 4.81005 20.6755i 0.165667 0.712103i
\(844\) 1.62878 + 0.171191i 0.0560648 + 0.00589265i
\(845\) −2.40195 3.37795i −0.0826295 0.116205i
\(846\) 6.23636 + 36.0792i 0.214411 + 1.24043i
\(847\) −0.500482 + 9.54977i −0.0171968 + 0.328134i
\(848\) 3.06190 + 1.17536i 0.105146 + 0.0403619i
\(849\) −4.65036 18.7865i −0.159600 0.644749i
\(850\) −2.78388 + 11.8978i −0.0954865 + 0.408091i
\(851\) 3.42755 7.69840i 0.117495 0.263898i
\(852\) 8.02960 + 3.76076i 0.275090 + 0.128841i
\(853\) 30.2442 + 15.4102i 1.03554 + 0.527634i 0.887240 0.461308i \(-0.152620\pi\)
0.148301 + 0.988942i \(0.452620\pi\)
\(854\) −7.65639 3.40884i −0.261996 0.116648i
\(855\) −38.3690 5.92466i −1.31219 0.202619i
\(856\) −16.2606 + 3.45630i −0.555776 + 0.118134i
\(857\) −20.9800 + 54.6547i −0.716662 + 1.86697i −0.344907 + 0.938637i \(0.612090\pi\)
−0.371755 + 0.928331i \(0.621244\pi\)
\(858\) −13.4975 0.258363i −0.460795 0.00882038i
\(859\) 30.5900 3.21514i 1.04372 0.109699i 0.432877 0.901453i \(-0.357499\pi\)
0.610840 + 0.791754i \(0.290832\pi\)
\(860\) −8.60693 1.45338i −0.293494 0.0495600i
\(861\) 0.932585 + 0.0667929i 0.0317824 + 0.00227630i
\(862\) −4.31354 + 16.0983i −0.146920 + 0.548311i
\(863\) −8.78935 + 2.35510i −0.299193 + 0.0801685i −0.405293 0.914187i \(-0.632830\pi\)
0.106100 + 0.994355i \(0.466164\pi\)
\(864\) −4.48680 2.62080i −0.152644 0.0891616i
\(865\) 10.2464 0.432200i 0.348389 0.0146952i
\(866\) −15.5247 5.04428i −0.527550 0.171412i
\(867\) 13.9473 + 13.0501i 0.473674 + 0.443203i
\(868\) −9.52713 1.12854i −0.323372 0.0383051i
\(869\) 0.310208 0.0105231
\(870\) −20.3186 6.08862i −0.688864 0.206423i
\(871\) 34.5188 38.3370i 1.16962 1.29900i
\(872\) 7.14121 1.13106i 0.241832 0.0383024i
\(873\) 12.3343 + 36.2177i 0.417453 + 1.22578i
\(874\) −8.96687 + 5.17703i −0.303309 + 0.175116i
\(875\) −15.3355 + 11.6597i −0.518436 + 0.394171i
\(876\) −4.10112 + 3.19303i −0.138564 + 0.107882i
\(877\) 27.4704 33.9231i 0.927610 1.14550i −0.0614684 0.998109i \(-0.519578\pi\)
0.989078 0.147393i \(-0.0470883\pi\)
\(878\) 1.21854 23.2512i 0.0411239 0.784690i
\(879\) 14.0170 6.80732i 0.472782 0.229605i
\(880\) 1.03319 + 5.11696i 0.0348287 + 0.172493i
\(881\) 10.3905 48.8835i 0.350065 1.64693i −0.352869 0.935673i \(-0.614794\pi\)
0.702934 0.711255i \(-0.251873\pi\)
\(882\) −10.9771 + 5.07370i −0.369617 + 0.170840i
\(883\) −51.3020 26.1397i −1.72645 0.879669i −0.975709 0.219071i \(-0.929697\pi\)
−0.750740 0.660598i \(-0.770303\pi\)
\(884\) 2.52127 + 7.75968i 0.0847996 + 0.260986i
\(885\) 21.1353 8.67628i 0.710455 0.291650i
\(886\) 20.3797 + 4.33185i 0.684671 + 0.145531i
\(887\) −15.6521 + 24.1022i −0.525547 + 0.809272i −0.997374 0.0724195i \(-0.976928\pi\)
0.471827 + 0.881691i \(0.343595\pi\)
\(888\) −7.70955 2.66916i −0.258716 0.0895711i
\(889\) −13.1820 + 11.8691i −0.442109 + 0.398077i
\(890\) −21.8569 18.0718i −0.732646 0.605767i
\(891\) 14.4932 + 15.2121i 0.485541 + 0.509626i
\(892\) 14.4501 11.7015i 0.483826 0.391794i
\(893\) 18.2817 68.2281i 0.611772 2.28317i
\(894\) 23.8204 + 12.7171i 0.796673 + 0.425323i
\(895\) 9.71887 + 7.21383i 0.324866 + 0.241132i
\(896\) 1.28050 + 1.15297i 0.0427786 + 0.0385180i
\(897\) −5.00027 9.05671i −0.166954 0.302395i
\(898\) −15.7046 + 15.7046i −0.524070 + 0.524070i
\(899\) −26.9846 14.2006i −0.899986 0.473616i
\(900\) −14.9841 + 0.690244i −0.499470 + 0.0230081i
\(901\) −2.47681 + 7.62285i −0.0825146 + 0.253954i
\(902\) −0.0382768 0.730365i −0.00127448 0.0243185i
\(903\) 11.4400 2.20369i 0.380698 0.0733343i
\(904\) −4.64170 2.67988i −0.154381 0.0891316i
\(905\) −9.39534 16.6636i −0.312312 0.553917i
\(906\) −7.71151 0.552308i −0.256198 0.0183492i
\(907\) 24.8925 + 3.94259i 0.826542 + 0.130911i 0.555353 0.831615i \(-0.312583\pi\)
0.271189 + 0.962526i \(0.412583\pi\)
\(908\) −12.8722 + 15.8959i −0.427180 + 0.527523i
\(909\) 18.8996 + 18.3747i 0.626859 + 0.609449i
\(910\) −4.73216 + 11.9614i −0.156870 + 0.396518i
\(911\) −6.83786 32.1696i −0.226548 1.06583i −0.933504 0.358568i \(-0.883265\pi\)
0.706955 0.707258i \(-0.250068\pi\)
\(912\) 5.73582 + 8.22107i 0.189932 + 0.272227i
\(913\) −15.8256 + 6.07488i −0.523751 + 0.201049i
\(914\) 9.98220 + 30.7220i 0.330182 + 1.01619i
\(915\) −16.9771 8.16367i −0.561244 0.269883i
\(916\) −6.51890 2.90240i −0.215391 0.0958981i
\(917\) −7.44441 + 4.83446i −0.245836 + 0.159648i
\(918\) 5.82216 11.2852i 0.192160 0.372466i
\(919\) 7.51582 + 16.8808i 0.247924 + 0.556847i 0.994046 0.108963i \(-0.0347530\pi\)
−0.746122 + 0.665810i \(0.768086\pi\)
\(920\) −3.00004 + 2.64632i −0.0989084 + 0.0872465i
\(921\) −1.55238 11.1825i −0.0511527 0.368477i
\(922\) 28.0423 + 4.44146i 0.923523 + 0.146272i
\(923\) 13.2822 10.7557i 0.437188 0.354028i
\(924\) −3.68220 5.91492i −0.121136 0.194587i
\(925\) −22.8688 + 5.63010i −0.751921 + 0.185117i
\(926\) −22.5139 + 30.9877i −0.739853 + 1.01832i
\(927\) −26.8995 + 3.21080i −0.883494 + 0.105457i
\(928\) 2.48637 + 4.87978i 0.0816192 + 0.160187i
\(929\) −36.3662 −1.19314 −0.596568 0.802562i \(-0.703470\pi\)
−0.596568 + 0.802562i \(0.703470\pi\)
\(930\) −21.3305 3.16380i −0.699455 0.103745i
\(931\) 23.3293 0.764586
\(932\) −12.5949 24.7188i −0.412559 0.809692i
\(933\) −32.8706 + 2.81997i −1.07613 + 0.0923215i
\(934\) 23.2160 31.9541i 0.759652 1.04557i
\(935\) −12.3557 + 3.17593i −0.404075 + 0.103864i
\(936\) −8.32235 + 5.57276i −0.272025 + 0.182151i
\(937\) 8.80907 7.13345i 0.287780 0.233040i −0.474549 0.880229i \(-0.657389\pi\)
0.762329 + 0.647189i \(0.224056\pi\)
\(938\) 26.2969 + 4.16502i 0.858625 + 0.135993i
\(939\) −17.9205 + 2.48776i −0.584815 + 0.0811851i
\(940\) 1.70630 27.2372i 0.0556534 0.888380i
\(941\) 11.6056 + 26.0665i 0.378331 + 0.849744i 0.997898 + 0.0648011i \(0.0206413\pi\)
−0.619568 + 0.784943i \(0.712692\pi\)
\(942\) −7.06211 + 11.7086i −0.230096 + 0.381486i
\(943\) 0.470048 0.305252i 0.0153069 0.00994039i
\(944\) −5.38903 2.39935i −0.175398 0.0780922i
\(945\) 18.4117 7.86297i 0.598934 0.255783i
\(946\) −2.81615 8.66721i −0.0915608 0.281795i
\(947\) 13.5744 5.21074i 0.441110 0.169326i −0.127669 0.991817i \(-0.540749\pi\)
0.568779 + 0.822491i \(0.307416\pi\)
\(948\) 0.188749 0.131690i 0.00613029 0.00427709i
\(949\) 2.08297 + 9.79963i 0.0676162 + 0.318109i
\(950\) 26.7983 + 10.9194i 0.869450 + 0.354273i
\(951\) −22.1808 + 21.3476i −0.719261 + 0.692243i
\(952\) −2.65003 + 3.27251i −0.0858878 + 0.106063i
\(953\) 3.11333 + 0.493103i 0.100851 + 0.0159732i 0.206656 0.978414i \(-0.433742\pi\)
−0.105805 + 0.994387i \(0.533742\pi\)
\(954\) −9.83202 0.376540i −0.318324 0.0121909i
\(955\) 1.82519 1.02909i 0.0590619 0.0333005i
\(956\) −24.4376 14.1091i −0.790369 0.456320i
\(957\) −4.18889 21.7457i −0.135408 0.702938i
\(958\) 0.137515 + 2.62395i 0.00444292 + 0.0847760i
\(959\) 3.73256 11.4877i 0.120531 0.370956i
\(960\) 2.80091 + 2.67486i 0.0903991 + 0.0863307i
\(961\) −29.2199 10.3536i −0.942577 0.333988i
\(962\) −11.1199 + 11.1199i −0.358522 + 0.358522i
\(963\) 42.8347 25.5415i 1.38033 0.823063i
\(964\) 2.29396 + 2.06549i 0.0738833 + 0.0665249i
\(965\) −43.0274 + 6.36550i −1.38510 + 0.204913i
\(966\) 2.51461 4.71011i 0.0809062 0.151545i
\(967\) −10.8155 + 40.3641i −0.347804 + 1.29802i 0.541499 + 0.840701i \(0.317857\pi\)
−0.889303 + 0.457319i \(0.848810\pi\)
\(968\) 4.31304 3.49263i 0.138626 0.112258i
\(969\) −19.3298 + 15.0496i −0.620961 + 0.483464i
\(970\) −2.69135 28.3903i −0.0864139 0.911559i
\(971\) −0.201941 + 0.181829i −0.00648060 + 0.00583516i −0.672365 0.740220i \(-0.734721\pi\)
0.665884 + 0.746055i \(0.268055\pi\)
\(972\) 15.2764 + 3.10331i 0.489992 + 0.0995387i
\(973\) 2.95524 4.55066i 0.0947405 0.145888i
\(974\) 7.96345 + 1.69268i 0.255166 + 0.0542371i
\(975\) −11.4207 + 26.5621i −0.365756 + 0.850667i
\(976\) 1.50303 + 4.62586i 0.0481110 + 0.148070i
\(977\) 18.5185 + 9.43566i 0.592460 + 0.301873i 0.724395 0.689385i \(-0.242119\pi\)
−0.131935 + 0.991258i \(0.542119\pi\)
\(978\) −7.93724 18.7870i −0.253805 0.600741i
\(979\) 6.15617 28.9625i 0.196752 0.925646i
\(980\) 8.83522 1.78395i 0.282231 0.0569863i
\(981\) −19.1860 + 10.1185i −0.612561 + 0.323060i
\(982\) 0.345759 6.59748i 0.0110336 0.210534i
\(983\) −10.4869 + 12.9502i −0.334479 + 0.413047i −0.916442 0.400168i \(-0.868952\pi\)
0.581963 + 0.813216i \(0.302285\pi\)
\(984\) −0.333346 0.428149i −0.0106267 0.0136489i
\(985\) 8.06541 + 10.1704i 0.256985 + 0.324057i
\(986\) −11.5910 + 6.69207i −0.369133 + 0.213119i
\(987\) 10.5908 + 34.8510i 0.337109 + 1.10932i
\(988\) 19.0844 3.02267i 0.607155 0.0961639i
\(989\) 4.67303 5.18992i 0.148594 0.165030i
\(990\) −7.88286 13.5321i −0.250534 0.430078i
\(991\) 22.7338 0.722161 0.361081 0.932535i \(-0.382408\pi\)
0.361081 + 0.932535i \(0.382408\pi\)
\(992\) 3.21297 + 4.54718i 0.102012 + 0.144373i
\(993\) 7.33098 7.83498i 0.232642 0.248636i
\(994\) 8.38906 + 2.72577i 0.266085 + 0.0864562i
\(995\) 45.4817 + 41.8001i 1.44187 + 1.32515i
\(996\) −7.05034 + 10.4146i −0.223399 + 0.330000i
\(997\) 27.1210 7.26706i 0.858932 0.230150i 0.197636 0.980275i \(-0.436674\pi\)
0.661296 + 0.750125i \(0.270007\pi\)
\(998\) −5.38193 + 20.0856i −0.170362 + 0.635800i
\(999\) 24.4753 + 0.123798i 0.774363 + 0.00391681i
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 930.2.bs.a.107.16 1024
3.2 odd 2 inner 930.2.bs.a.107.47 yes 1024
5.3 odd 4 inner 930.2.bs.a.293.32 yes 1024
15.8 even 4 inner 930.2.bs.a.293.63 yes 1024
31.20 even 15 inner 930.2.bs.a.857.63 yes 1024
93.20 odd 30 inner 930.2.bs.a.857.32 yes 1024
155.113 odd 60 inner 930.2.bs.a.113.47 yes 1024
465.113 even 60 inner 930.2.bs.a.113.16 yes 1024
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bs.a.107.16 1024 1.1 even 1 trivial
930.2.bs.a.107.47 yes 1024 3.2 odd 2 inner
930.2.bs.a.113.16 yes 1024 465.113 even 60 inner
930.2.bs.a.113.47 yes 1024 155.113 odd 60 inner
930.2.bs.a.293.32 yes 1024 5.3 odd 4 inner
930.2.bs.a.293.63 yes 1024 15.8 even 4 inner
930.2.bs.a.857.32 yes 1024 93.20 odd 30 inner
930.2.bs.a.857.63 yes 1024 31.20 even 15 inner