Properties

Label 966.2.bd.a.59.5
Level $966$
Weight $2$
Character 966.59
Analytic conductor $7.714$
Analytic rank $0$
Dimension $1280$
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] = [966,2,Mod(59,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([33, 11, 42]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.bd (of order \(66\), degree \(20\), 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: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(1280\)
Relative dimension: \(64\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 59.5
Character \(\chi\) \(=\) 966.59
Dual form 966.2.bd.a.131.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.945001 - 0.327068i) q^{2} +(-1.49813 - 0.869251i) q^{3} +(0.786053 + 0.618159i) q^{4} +(2.42488 - 0.231548i) q^{5} +(1.13143 + 1.31143i) q^{6} +(-1.25611 + 2.32856i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(1.48881 + 2.60451i) q^{9} +O(q^{10})\) \(q+(-0.945001 - 0.327068i) q^{2} +(-1.49813 - 0.869251i) q^{3} +(0.786053 + 0.618159i) q^{4} +(2.42488 - 0.231548i) q^{5} +(1.13143 + 1.31143i) q^{6} +(-1.25611 + 2.32856i) q^{7} +(-0.540641 - 0.841254i) q^{8} +(1.48881 + 2.60451i) q^{9} +(-2.36724 - 0.574287i) q^{10} +(-4.14167 + 1.43345i) q^{11} +(-0.640277 - 1.60936i) q^{12} +(-1.78398 - 6.07567i) q^{13} +(1.94862 - 1.78966i) q^{14} +(-3.83406 - 1.76094i) q^{15} +(0.235759 + 0.971812i) q^{16} +(4.29130 + 1.71798i) q^{17} +(-0.555073 - 2.94820i) q^{18} +(-2.09347 - 5.22924i) q^{19} +(2.04921 + 1.31695i) q^{20} +(3.90592 - 2.39662i) q^{21} +4.38271 q^{22} +(4.43905 + 1.81517i) q^{23} +(0.0786919 + 1.73026i) q^{24} +(0.916766 - 0.176692i) q^{25} +(-0.301297 + 6.32500i) q^{26} +(0.0335372 - 5.19604i) q^{27} +(-2.42679 + 1.05390i) q^{28} +(4.18955 - 0.602367i) q^{29} +(3.04724 + 2.91808i) q^{30} +(-0.0814217 + 0.00387859i) q^{31} +(0.0950560 - 0.995472i) q^{32} +(7.45079 + 1.45266i) q^{33} +(-3.49338 - 3.02703i) q^{34} +(-2.50674 + 5.93732i) q^{35} +(-0.439718 + 2.96760i) q^{36} +(4.00721 - 5.62734i) q^{37} +(0.268016 + 5.62635i) q^{38} +(-2.60864 + 10.6529i) q^{39} +(-1.50578 - 1.91475i) q^{40} +(1.57973 - 3.45913i) q^{41} +(-4.47496 + 0.987304i) q^{42} +(8.70754 + 5.59600i) q^{43} +(-4.14167 - 1.43345i) q^{44} +(4.21324 + 5.97088i) q^{45} +(-3.60122 - 3.16721i) q^{46} +(0.302375 + 0.523729i) q^{47} +(0.491549 - 1.66084i) q^{48} +(-3.84438 - 5.84985i) q^{49} +(-0.924135 - 0.132871i) q^{50} +(-4.93558 - 6.30397i) q^{51} +(2.35343 - 5.87858i) q^{52} +(2.66343 + 2.79333i) q^{53} +(-1.73115 + 4.89930i) q^{54} +(-9.71112 + 4.43492i) q^{55} +(2.63801 - 0.202207i) q^{56} +(-1.40922 + 9.65386i) q^{57} +(-4.15614 - 0.801031i) q^{58} +(2.30257 - 9.49134i) q^{59} +(-1.92524 - 3.75425i) q^{60} +(5.44389 - 10.5597i) q^{61} +(0.0782121 + 0.0229652i) q^{62} +(-7.93485 + 0.195229i) q^{63} +(-0.415415 + 0.909632i) q^{64} +(-5.73273 - 14.3197i) q^{65} +(-6.56589 - 3.80968i) q^{66} +(8.79343 - 1.69480i) q^{67} +(2.31121 + 4.00312i) q^{68} +(-5.07245 - 6.57801i) q^{69} +(4.31078 - 4.79090i) q^{70} +(4.81103 - 4.16878i) q^{71} +(1.38614 - 2.66057i) q^{72} +(-3.74486 + 4.76198i) q^{73} +(-5.62734 + 4.00721i) q^{74} +(-1.52703 - 0.532191i) q^{75} +(1.58692 - 5.40456i) q^{76} +(1.86453 - 11.4447i) q^{77} +(5.94939 - 9.21379i) q^{78} +(-9.31441 - 8.88127i) q^{79} +(0.796707 + 2.30193i) q^{80} +(-4.56691 + 7.75521i) q^{81} +(-2.62421 + 2.75220i) q^{82} +(-3.37151 - 7.38257i) q^{83} +(4.55175 + 0.530611i) q^{84} +(10.8037 + 3.17224i) q^{85} +(-6.39836 - 8.13618i) q^{86} +(-6.80011 - 2.73934i) q^{87} +(3.44505 + 2.70921i) q^{88} +(0.00832128 - 0.174685i) q^{89} +(-2.02863 - 7.02050i) q^{90} +(16.3884 + 3.47761i) q^{91} +(2.36727 + 4.17086i) q^{92} +(0.125352 + 0.0649652i) q^{93} +(-0.114450 - 0.593822i) q^{94} +(-6.28723 - 12.1955i) q^{95} +(-1.00772 + 1.40872i) q^{96} +(14.4719 + 6.60911i) q^{97} +(1.71964 + 6.78549i) q^{98} +(-9.89956 - 8.65288i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1280 q - 64 q^{4} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1280 q - 64 q^{4} + 4 q^{9} + 16 q^{15} + 64 q^{16} - 44 q^{18} + 120 q^{21} - 16 q^{22} - 12 q^{24} + 56 q^{25} + 32 q^{30} - 24 q^{33} + 8 q^{36} - 44 q^{37} - 20 q^{39} + 4 q^{42} + 136 q^{43} + 12 q^{45} + 12 q^{46} + 92 q^{49} + 4 q^{51} - 36 q^{54} - 56 q^{57} - 28 q^{58} + 8 q^{60} + 72 q^{61} - 134 q^{63} + 128 q^{64} + 24 q^{67} - 72 q^{70} - 44 q^{72} - 72 q^{73} + 48 q^{75} - 16 q^{78} - 72 q^{79} + 40 q^{81} + 48 q^{82} - 10 q^{84} - 32 q^{85} + 222 q^{87} - 8 q^{88} - 8 q^{91} - 16 q^{93} + 72 q^{94} - 12 q^{96} - 68 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{7}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.945001 0.327068i −0.668216 0.231272i
\(3\) −1.49813 0.869251i −0.864948 0.501862i
\(4\) 0.786053 + 0.618159i 0.393027 + 0.309079i
\(5\) 2.42488 0.231548i 1.08444 0.103551i 0.462501 0.886619i \(-0.346952\pi\)
0.621937 + 0.783068i \(0.286346\pi\)
\(6\) 1.13143 + 1.31143i 0.461906 + 0.535391i
\(7\) −1.25611 + 2.32856i −0.474765 + 0.880113i
\(8\) −0.540641 0.841254i −0.191145 0.297428i
\(9\) 1.48881 + 2.60451i 0.496269 + 0.868169i
\(10\) −2.36724 0.574287i −0.748588 0.181605i
\(11\) −4.14167 + 1.43345i −1.24876 + 0.432200i −0.869888 0.493249i \(-0.835809\pi\)
−0.378872 + 0.925449i \(0.623688\pi\)
\(12\) −0.640277 1.60936i −0.184832 0.464583i
\(13\) −1.78398 6.07567i −0.494787 1.68509i −0.706464 0.707749i \(-0.749711\pi\)
0.211678 0.977340i \(-0.432107\pi\)
\(14\) 1.94862 1.78966i 0.520791 0.478306i
\(15\) −3.83406 1.76094i −0.989950 0.454672i
\(16\) 0.235759 + 0.971812i 0.0589397 + 0.242953i
\(17\) 4.29130 + 1.71798i 1.04079 + 0.416670i 0.828178 0.560466i \(-0.189378\pi\)
0.212615 + 0.977136i \(0.431802\pi\)
\(18\) −0.555073 2.94820i −0.130832 0.694898i
\(19\) −2.09347 5.22924i −0.480276 1.19967i −0.948703 0.316169i \(-0.897603\pi\)
0.468427 0.883502i \(-0.344821\pi\)
\(20\) 2.04921 + 1.31695i 0.458218 + 0.294479i
\(21\) 3.90592 2.39662i 0.852342 0.522985i
\(22\) 4.38271 0.934398
\(23\) 4.43905 + 1.81517i 0.925606 + 0.378489i
\(24\) 0.0786919 + 1.73026i 0.0160629 + 0.353188i
\(25\) 0.916766 0.176692i 0.183353 0.0353384i
\(26\) −0.301297 + 6.32500i −0.0590892 + 1.24043i
\(27\) 0.0335372 5.19604i 0.00645424 0.999979i
\(28\) −2.42679 + 1.05390i −0.458620 + 0.199168i
\(29\) 4.18955 0.602367i 0.777980 0.111857i 0.258126 0.966111i \(-0.416895\pi\)
0.519855 + 0.854255i \(0.325986\pi\)
\(30\) 3.04724 + 2.91808i 0.556348 + 0.532767i
\(31\) −0.0814217 + 0.00387859i −0.0146238 + 0.000696616i −0.0548925 0.998492i \(-0.517482\pi\)
0.0402688 + 0.999189i \(0.487179\pi\)
\(32\) 0.0950560 0.995472i 0.0168037 0.175976i
\(33\) 7.45079 + 1.45266i 1.29702 + 0.252875i
\(34\) −3.49338 3.02703i −0.599111 0.519132i
\(35\) −2.50674 + 5.93732i −0.423716 + 1.00359i
\(36\) −0.439718 + 2.96760i −0.0732863 + 0.494600i
\(37\) 4.00721 5.62734i 0.658782 0.925129i −0.341108 0.940024i \(-0.610802\pi\)
0.999889 + 0.0148951i \(0.00474142\pi\)
\(38\) 0.268016 + 5.62635i 0.0434779 + 0.912714i
\(39\) −2.60864 + 10.6529i −0.417717 + 1.70583i
\(40\) −1.50578 1.91475i −0.238084 0.302749i
\(41\) 1.57973 3.45913i 0.246712 0.540225i −0.745246 0.666790i \(-0.767668\pi\)
0.991958 + 0.126565i \(0.0403952\pi\)
\(42\) −4.47496 + 0.987304i −0.690501 + 0.152344i
\(43\) 8.70754 + 5.59600i 1.32789 + 0.853382i 0.995949 0.0899191i \(-0.0286608\pi\)
0.331939 + 0.943301i \(0.392297\pi\)
\(44\) −4.14167 1.43345i −0.624380 0.216100i
\(45\) 4.21324 + 5.97088i 0.628073 + 0.890086i
\(46\) −3.60122 3.16721i −0.530971 0.466979i
\(47\) 0.302375 + 0.523729i 0.0441060 + 0.0763937i 0.887236 0.461317i \(-0.152623\pi\)
−0.843130 + 0.537710i \(0.819289\pi\)
\(48\) 0.491549 1.66084i 0.0709490 0.239721i
\(49\) −3.84438 5.84985i −0.549197 0.835693i
\(50\) −0.924135 0.132871i −0.130692 0.0187907i
\(51\) −4.93558 6.30397i −0.691120 0.882732i
\(52\) 2.35343 5.87858i 0.326362 0.815213i
\(53\) 2.66343 + 2.79333i 0.365850 + 0.383693i 0.880769 0.473546i \(-0.157026\pi\)
−0.514919 + 0.857239i \(0.672178\pi\)
\(54\) −1.73115 + 4.89930i −0.235580 + 0.666710i
\(55\) −9.71112 + 4.43492i −1.30945 + 0.598004i
\(56\) 2.63801 0.202207i 0.352519 0.0270211i
\(57\) −1.40922 + 9.65386i −0.186656 + 1.27868i
\(58\) −4.15614 0.801031i −0.545729 0.105181i
\(59\) 2.30257 9.49134i 0.299770 1.23567i −0.600248 0.799814i \(-0.704932\pi\)
0.900018 0.435853i \(-0.143553\pi\)
\(60\) −1.92524 3.75425i −0.248547 0.484671i
\(61\) 5.44389 10.5597i 0.697019 1.35203i −0.228581 0.973525i \(-0.573409\pi\)
0.925600 0.378503i \(-0.123561\pi\)
\(62\) 0.0782121 + 0.0229652i 0.00993295 + 0.00291658i
\(63\) −7.93485 + 0.195229i −0.999697 + 0.0245965i
\(64\) −0.415415 + 0.909632i −0.0519269 + 0.113704i
\(65\) −5.73273 14.3197i −0.711058 1.77614i
\(66\) −6.56589 3.80968i −0.808205 0.468939i
\(67\) 8.79343 1.69480i 1.07429 0.207052i 0.378720 0.925511i \(-0.376364\pi\)
0.695569 + 0.718459i \(0.255152\pi\)
\(68\) 2.31121 + 4.00312i 0.280275 + 0.485450i
\(69\) −5.07245 6.57801i −0.610652 0.791899i
\(70\) 4.31078 4.79090i 0.515236 0.572621i
\(71\) 4.81103 4.16878i 0.570964 0.494743i −0.320860 0.947127i \(-0.603972\pi\)
0.891823 + 0.452384i \(0.149426\pi\)
\(72\) 1.38614 2.66057i 0.163358 0.313551i
\(73\) −3.74486 + 4.76198i −0.438303 + 0.557348i −0.954148 0.299334i \(-0.903236\pi\)
0.515845 + 0.856682i \(0.327478\pi\)
\(74\) −5.62734 + 4.00721i −0.654165 + 0.465829i
\(75\) −1.52703 0.532191i −0.176326 0.0614521i
\(76\) 1.58692 5.40456i 0.182033 0.619946i
\(77\) 1.86453 11.4447i 0.212483 1.30424i
\(78\) 5.94939 9.21379i 0.673636 1.04326i
\(79\) −9.31441 8.88127i −1.04795 0.999221i −1.00000 0.000371896i \(-0.999882\pi\)
−0.0479534 0.998850i \(-0.515270\pi\)
\(80\) 0.796707 + 2.30193i 0.0890745 + 0.257364i
\(81\) −4.56691 + 7.75521i −0.507434 + 0.861691i
\(82\) −2.62421 + 2.75220i −0.289796 + 0.303929i
\(83\) −3.37151 7.38257i −0.370071 0.810342i −0.999447 0.0332415i \(-0.989417\pi\)
0.629377 0.777100i \(-0.283310\pi\)
\(84\) 4.55175 + 0.530611i 0.496637 + 0.0578945i
\(85\) 10.8037 + 3.17224i 1.17182 + 0.344078i
\(86\) −6.39836 8.13618i −0.689953 0.877347i
\(87\) −6.80011 2.73934i −0.729049 0.293689i
\(88\) 3.44505 + 2.70921i 0.367243 + 0.288803i
\(89\) 0.00832128 0.174685i 0.000882054 0.0185166i −0.998383 0.0568382i \(-0.981898\pi\)
0.999265 + 0.0383216i \(0.0122011\pi\)
\(90\) −2.02863 7.02050i −0.213837 0.740025i
\(91\) 16.3884 + 3.47761i 1.71797 + 0.364553i
\(92\) 2.36727 + 4.17086i 0.246805 + 0.434842i
\(93\) 0.125352 + 0.0649652i 0.0129984 + 0.00673658i
\(94\) −0.114450 0.593822i −0.0118046 0.0612480i
\(95\) −6.28723 12.1955i −0.645056 1.25124i
\(96\) −1.00772 + 1.40872i −0.102850 + 0.143777i
\(97\) 14.4719 + 6.60911i 1.46940 + 0.671053i 0.979633 0.200798i \(-0.0643536\pi\)
0.489770 + 0.871852i \(0.337081\pi\)
\(98\) 1.71964 + 6.78549i 0.173710 + 0.685438i
\(99\) −9.89956 8.65288i −0.994943 0.869647i
\(100\) 0.829851 + 0.427818i 0.0829851 + 0.0427818i
\(101\) 10.8080 + 1.03204i 1.07543 + 0.102691i 0.617712 0.786404i \(-0.288060\pi\)
0.457721 + 0.889096i \(0.348666\pi\)
\(102\) 2.60230 + 7.57153i 0.257666 + 0.749693i
\(103\) 1.53562 7.96756i 0.151309 0.785067i −0.824402 0.566005i \(-0.808488\pi\)
0.975711 0.219062i \(-0.0702997\pi\)
\(104\) −4.14669 + 4.78553i −0.406616 + 0.469260i
\(105\) 8.91644 6.71591i 0.870156 0.655406i
\(106\) −1.60334 3.51082i −0.155730 0.341001i
\(107\) −2.52611 + 4.89997i −0.244208 + 0.473698i −0.978802 0.204809i \(-0.934343\pi\)
0.734594 + 0.678507i \(0.237373\pi\)
\(108\) 3.23834 4.06364i 0.311610 0.391023i
\(109\) −14.1739 5.67436i −1.35761 0.543505i −0.425263 0.905070i \(-0.639818\pi\)
−0.932347 + 0.361564i \(0.882243\pi\)
\(110\) 10.6275 1.01481i 1.01330 0.0967580i
\(111\) −10.8949 + 4.94724i −1.03410 + 0.469571i
\(112\) −2.55906 0.671723i −0.241808 0.0634719i
\(113\) −5.31982 + 4.60965i −0.500446 + 0.433639i −0.868149 0.496304i \(-0.834690\pi\)
0.367702 + 0.929944i \(0.380145\pi\)
\(114\) 4.48918 8.66199i 0.420450 0.811270i
\(115\) 11.1844 + 3.37370i 1.04295 + 0.314600i
\(116\) 3.66557 + 2.11632i 0.340339 + 0.196495i
\(117\) 13.1681 13.6919i 1.21739 1.26582i
\(118\) −5.28025 + 8.21622i −0.486086 + 0.756365i
\(119\) −9.39075 + 7.83457i −0.860849 + 0.718194i
\(120\) 0.591456 + 4.17745i 0.0539923 + 0.381347i
\(121\) 6.45206 5.07396i 0.586551 0.461269i
\(122\) −8.59822 + 8.19838i −0.778446 + 0.742247i
\(123\) −5.37349 + 3.80905i −0.484511 + 0.343450i
\(124\) −0.0663994 0.0472828i −0.00596284 0.00424612i
\(125\) −9.50404 + 2.79064i −0.850067 + 0.249602i
\(126\) 7.56230 + 2.41074i 0.673703 + 0.214766i
\(127\) 1.10651 1.27698i 0.0981866 0.113313i −0.704530 0.709675i \(-0.748842\pi\)
0.802716 + 0.596361i \(0.203387\pi\)
\(128\) 0.690079 0.723734i 0.0609949 0.0639697i
\(129\) −8.18074 15.9526i −0.720274 1.40455i
\(130\) 0.733931 + 15.4071i 0.0643700 + 1.35129i
\(131\) 2.97668 + 12.2701i 0.260074 + 1.07204i 0.940654 + 0.339367i \(0.110213\pi\)
−0.680580 + 0.732674i \(0.738272\pi\)
\(132\) 4.95875 + 5.74764i 0.431604 + 0.500268i
\(133\) 14.8062 + 1.69373i 1.28386 + 0.146865i
\(134\) −8.86412 1.27447i −0.765743 0.110097i
\(135\) −1.12181 12.6075i −0.0965498 1.08508i
\(136\) −0.874797 4.53888i −0.0750132 0.389206i
\(137\) −17.4997 10.1035i −1.49510 0.863199i −0.495120 0.868825i \(-0.664876\pi\)
−0.999984 + 0.00562571i \(0.998209\pi\)
\(138\) 2.64202 + 7.87526i 0.224903 + 0.670387i
\(139\) 7.88228i 0.668566i −0.942473 0.334283i \(-0.891506\pi\)
0.942473 0.334283i \(-0.108494\pi\)
\(140\) −5.64064 + 3.11748i −0.476721 + 0.263475i
\(141\) 0.00225353 1.04746i 0.000189782 0.0882117i
\(142\) −5.90990 + 2.36597i −0.495947 + 0.198547i
\(143\) 16.0978 + 22.6062i 1.34616 + 1.89042i
\(144\) −2.18009 + 2.06088i −0.181674 + 0.171740i
\(145\) 10.0197 2.43074i 0.832088 0.201862i
\(146\) 5.09639 3.27525i 0.421780 0.271062i
\(147\) 0.674400 + 12.1056i 0.0556236 + 0.998452i
\(148\) 6.62847 1.94630i 0.544857 0.159984i
\(149\) 3.09588 16.0629i 0.253624 1.31593i −0.602070 0.798444i \(-0.705657\pi\)
0.855694 0.517483i \(-0.173131\pi\)
\(150\) 1.26898 + 1.00236i 0.103612 + 0.0818426i
\(151\) 1.42455 5.87208i 0.115928 0.477863i −0.884018 0.467454i \(-0.845171\pi\)
0.999946 0.0104091i \(-0.00331337\pi\)
\(152\) −3.26730 + 4.58829i −0.265013 + 0.372159i
\(153\) 1.91443 + 13.7344i 0.154773 + 1.11036i
\(154\) −5.50517 + 10.2054i −0.443619 + 0.822375i
\(155\) −0.196539 + 0.0282581i −0.0157864 + 0.00226975i
\(156\) −8.63571 + 6.76118i −0.691410 + 0.541328i
\(157\) −2.55894 + 3.25396i −0.204226 + 0.259694i −0.877367 0.479820i \(-0.840702\pi\)
0.673141 + 0.739514i \(0.264945\pi\)
\(158\) 5.89735 + 11.4393i 0.469168 + 0.910058i
\(159\) −1.56207 6.49996i −0.123881 0.515481i
\(160\) 2.43591i 0.192575i
\(161\) −9.80266 + 8.05654i −0.772558 + 0.634944i
\(162\) 6.85221 5.83500i 0.538361 0.458441i
\(163\) −0.131889 + 0.381068i −0.0103303 + 0.0298476i −0.950048 0.312103i \(-0.898966\pi\)
0.939718 + 0.341951i \(0.111088\pi\)
\(164\) 3.38004 1.74253i 0.263937 0.136069i
\(165\) 18.4036 + 1.79730i 1.43272 + 0.139919i
\(166\) 0.771474 + 8.07924i 0.0598780 + 0.627071i
\(167\) 1.85979 + 12.9351i 0.143915 + 1.00095i 0.925931 + 0.377692i \(0.123282\pi\)
−0.782017 + 0.623258i \(0.785809\pi\)
\(168\) −4.12786 1.99016i −0.318472 0.153544i
\(169\) −22.7949 + 14.6494i −1.75346 + 1.12688i
\(170\) −9.17193 6.53130i −0.703455 0.500928i
\(171\) 10.5028 13.2378i 0.803171 1.01232i
\(172\) 3.38537 + 9.78140i 0.258132 + 0.745825i
\(173\) −14.6529 2.82411i −1.11404 0.214713i −0.401163 0.916007i \(-0.631394\pi\)
−0.712872 + 0.701294i \(0.752606\pi\)
\(174\) 5.53016 + 4.81278i 0.419241 + 0.364856i
\(175\) −0.740121 + 2.35669i −0.0559479 + 0.178149i
\(176\) −2.36947 3.68697i −0.178606 0.277916i
\(177\) −11.6999 + 12.2178i −0.879419 + 0.918344i
\(178\) −0.0649975 + 0.162356i −0.00487177 + 0.0121691i
\(179\) −11.5429 + 8.21968i −0.862759 + 0.614368i −0.923420 0.383791i \(-0.874618\pi\)
0.0606613 + 0.998158i \(0.480679\pi\)
\(180\) −0.379120 + 7.29788i −0.0282580 + 0.543952i
\(181\) −4.82572 + 7.50896i −0.358693 + 0.558137i −0.972964 0.230958i \(-0.925814\pi\)
0.614271 + 0.789095i \(0.289450\pi\)
\(182\) −14.3497 8.64648i −1.06367 0.640920i
\(183\) −17.3347 + 11.0877i −1.28142 + 0.819626i
\(184\) −0.872916 4.71572i −0.0643522 0.347648i
\(185\) 8.41399 14.5735i 0.618609 1.07146i
\(186\) −0.0972097 0.102391i −0.00712776 0.00750766i
\(187\) −20.2358 0.963948i −1.47978 0.0704908i
\(188\) −0.0860649 + 0.598595i −0.00627693 + 0.0436570i
\(189\) 12.0572 + 6.60490i 0.877030 + 0.480435i
\(190\) 1.95267 + 13.5811i 0.141662 + 0.985279i
\(191\) 17.7903 4.31587i 1.28726 0.312286i 0.466989 0.884263i \(-0.345339\pi\)
0.820269 + 0.571977i \(0.193823\pi\)
\(192\) 1.41305 1.00165i 0.101978 0.0722879i
\(193\) 19.9527 + 1.90525i 1.43623 + 0.137143i 0.783943 0.620832i \(-0.213205\pi\)
0.652283 + 0.757975i \(0.273811\pi\)
\(194\) −11.5144 10.9789i −0.826683 0.788240i
\(195\) −3.85899 + 26.4360i −0.276348 + 1.89312i
\(196\) 0.594255 6.97473i 0.0424468 0.498195i
\(197\) 2.70486 + 9.21189i 0.192713 + 0.656320i 0.997987 + 0.0634174i \(0.0202000\pi\)
−0.805274 + 0.592903i \(0.797982\pi\)
\(198\) 6.52501 + 11.4148i 0.463713 + 0.811215i
\(199\) 13.6988 0.652552i 0.971079 0.0462582i 0.443957 0.896048i \(-0.353574\pi\)
0.527122 + 0.849790i \(0.323271\pi\)
\(200\) −0.644284 0.675706i −0.0455578 0.0477796i
\(201\) −14.6469 5.10467i −1.03312 0.360055i
\(202\) −9.87599 4.51022i −0.694873 0.317338i
\(203\) −3.85989 + 10.5123i −0.270911 + 0.737816i
\(204\) 0.0172249 8.00623i 0.00120598 0.560548i
\(205\) 3.02970 8.75373i 0.211603 0.611387i
\(206\) −4.05710 + 7.02710i −0.282671 + 0.489601i
\(207\) 1.88127 + 14.2640i 0.130758 + 0.991414i
\(208\) 5.48382 3.16608i 0.380234 0.219528i
\(209\) 16.1663 + 18.6569i 1.11825 + 1.29053i
\(210\) −10.6226 + 3.43026i −0.733029 + 0.236710i
\(211\) −0.690837 + 4.80488i −0.0475592 + 0.330781i 0.952126 + 0.305705i \(0.0988920\pi\)
−0.999686 + 0.0250766i \(0.992017\pi\)
\(212\) 0.366879 + 3.84213i 0.0251973 + 0.263878i
\(213\) −10.8313 + 2.06340i −0.742146 + 0.141382i
\(214\) 3.98980 3.80427i 0.272737 0.260054i
\(215\) 22.4105 + 11.5534i 1.52838 + 0.787935i
\(216\) −4.38932 + 2.78098i −0.298656 + 0.189222i
\(217\) 0.0932431 0.194467i 0.00632975 0.0132013i
\(218\) 11.5384 + 9.99809i 0.781480 + 0.677156i
\(219\) 9.74966 3.87886i 0.658821 0.262109i
\(220\) −10.3749 2.51693i −0.699478 0.169692i
\(221\) 2.78228 29.1373i 0.187156 1.95999i
\(222\) 11.9138 1.11177i 0.799600 0.0746170i
\(223\) 1.26457 4.30674i 0.0846822 0.288401i −0.906254 0.422733i \(-0.861071\pi\)
0.990936 + 0.134332i \(0.0428889\pi\)
\(224\) 2.19861 + 1.47177i 0.146901 + 0.0983365i
\(225\) 1.82508 + 2.12466i 0.121672 + 0.141644i
\(226\) 6.53490 2.61618i 0.434695 0.174026i
\(227\) −2.81444 + 1.45094i −0.186801 + 0.0963026i −0.549090 0.835763i \(-0.685026\pi\)
0.362289 + 0.932066i \(0.381995\pi\)
\(228\) −7.07534 + 6.71732i −0.468576 + 0.444866i
\(229\) 18.0192 10.4034i 1.19074 0.687475i 0.232267 0.972652i \(-0.425386\pi\)
0.958475 + 0.285177i \(0.0920525\pi\)
\(230\) −9.46588 6.84623i −0.624162 0.451427i
\(231\) −12.7416 + 15.5249i −0.838336 + 1.02146i
\(232\) −2.77179 3.19881i −0.181977 0.210012i
\(233\) 14.2290 + 0.677809i 0.932171 + 0.0444048i 0.508170 0.861257i \(-0.330322\pi\)
0.424001 + 0.905662i \(0.360625\pi\)
\(234\) −16.9221 + 8.63197i −1.10623 + 0.564290i
\(235\) 0.854491 + 1.19996i 0.0557408 + 0.0782770i
\(236\) 7.67710 6.03734i 0.499737 0.392997i
\(237\) 6.23418 + 21.4019i 0.404953 + 1.39020i
\(238\) 11.4367 4.33226i 0.741331 0.280819i
\(239\) −10.5103 + 4.79989i −0.679854 + 0.310479i −0.725245 0.688490i \(-0.758274\pi\)
0.0453916 + 0.998969i \(0.485546\pi\)
\(240\) 0.807384 4.14114i 0.0521164 0.267309i
\(241\) −15.4059 + 5.33204i −0.992382 + 0.343467i −0.774545 0.632519i \(-0.782021\pi\)
−0.217837 + 0.975985i \(0.569900\pi\)
\(242\) −7.75673 + 2.68463i −0.498622 + 0.172575i
\(243\) 13.5831 7.64856i 0.871354 0.490655i
\(244\) 10.8067 4.93528i 0.691831 0.315949i
\(245\) −10.6767 13.2950i −0.682106 0.849387i
\(246\) 6.32377 1.84206i 0.403189 0.117445i
\(247\) −28.0365 + 22.0481i −1.78392 + 1.40289i
\(248\) 0.0472828 + 0.0663994i 0.00300246 + 0.00421636i
\(249\) −1.36634 + 13.9908i −0.0865880 + 0.886628i
\(250\) 9.89406 + 0.471312i 0.625755 + 0.0298084i
\(251\) 12.4747 + 14.3965i 0.787394 + 0.908701i 0.997620 0.0689515i \(-0.0219654\pi\)
−0.210226 + 0.977653i \(0.567420\pi\)
\(252\) −6.35790 4.75154i −0.400510 0.299319i
\(253\) −20.9870 1.15469i −1.31944 0.0725944i
\(254\) −1.46331 + 0.844842i −0.0918161 + 0.0530101i
\(255\) −13.4278 14.1435i −0.840884 0.885702i
\(256\) −0.888835 + 0.458227i −0.0555522 + 0.0286392i
\(257\) 17.5732 7.03524i 1.09619 0.438846i 0.248115 0.968730i \(-0.420189\pi\)
0.848070 + 0.529884i \(0.177765\pi\)
\(258\) 2.51322 + 17.7509i 0.156466 + 1.10512i
\(259\) 8.07010 + 16.3996i 0.501452 + 1.01902i
\(260\) 4.34560 14.7998i 0.269503 0.917843i
\(261\) 7.80630 + 10.0149i 0.483198 + 0.619907i
\(262\) 1.20017 12.5688i 0.0741470 0.776503i
\(263\) −6.45047 1.56487i −0.397753 0.0964939i 0.0318927 0.999491i \(-0.489847\pi\)
−0.429646 + 0.902997i \(0.641362\pi\)
\(264\) −2.80615 7.05337i −0.172707 0.434105i
\(265\) 7.10528 + 6.15676i 0.436474 + 0.378207i
\(266\) −13.4379 6.44322i −0.823933 0.395059i
\(267\) −0.164312 + 0.254468i −0.0100557 + 0.0155732i
\(268\) 7.95976 + 4.10354i 0.486220 + 0.250664i
\(269\) 0.782364 0.745983i 0.0477016 0.0454834i −0.665853 0.746083i \(-0.731932\pi\)
0.713555 + 0.700599i \(0.247084\pi\)
\(270\) −3.06341 + 12.2810i −0.186433 + 0.747400i
\(271\) 0.645940 + 6.76458i 0.0392380 + 0.410919i 0.993657 + 0.112450i \(0.0358699\pi\)
−0.954419 + 0.298469i \(0.903524\pi\)
\(272\) −0.657838 + 4.57536i −0.0398873 + 0.277422i
\(273\) −21.5291 19.4556i −1.30300 1.17751i
\(274\) 13.2327 + 15.2714i 0.799420 + 0.922579i
\(275\) −3.54366 + 2.04593i −0.213691 + 0.123374i
\(276\) 0.0790376 8.30625i 0.00475751 0.499977i
\(277\) −9.58829 + 16.6074i −0.576105 + 0.997843i 0.419816 + 0.907609i \(0.362095\pi\)
−0.995921 + 0.0902334i \(0.971239\pi\)
\(278\) −2.57804 + 7.44876i −0.154621 + 0.446747i
\(279\) −0.131323 0.206289i −0.00786210 0.0123502i
\(280\) 6.35003 1.10115i 0.379487 0.0658065i
\(281\) 14.0605 + 6.42124i 0.838782 + 0.383059i 0.788018 0.615652i \(-0.211107\pi\)
0.0507637 + 0.998711i \(0.483834\pi\)
\(282\) −0.344719 + 0.989110i −0.0205277 + 0.0589006i
\(283\) −3.52993 3.70208i −0.209832 0.220066i 0.610404 0.792090i \(-0.291007\pi\)
−0.820237 + 0.572024i \(0.806158\pi\)
\(284\) 6.35869 0.302902i 0.377319 0.0179739i
\(285\) −1.18186 + 23.7357i −0.0700072 + 1.40598i
\(286\) −7.81867 26.6279i −0.462327 1.57454i
\(287\) 6.07046 + 8.02353i 0.358328 + 0.473614i
\(288\) 2.73423 1.23449i 0.161116 0.0727431i
\(289\) 3.16031 + 3.01335i 0.185901 + 0.177256i
\(290\) −10.2636 0.980056i −0.602700 0.0575509i
\(291\) −15.9359 22.4811i −0.934180 1.31786i
\(292\) −5.88732 + 1.42825i −0.344530 + 0.0835820i
\(293\) −3.89941 27.1210i −0.227806 1.58442i −0.707322 0.706892i \(-0.750097\pi\)
0.479516 0.877533i \(-0.340812\pi\)
\(294\) 3.32204 11.6604i 0.193745 0.680046i
\(295\) 3.38576 23.5485i 0.197126 1.37104i
\(296\) −6.90048 0.328711i −0.401082 0.0191059i
\(297\) 7.30934 + 21.5684i 0.424131 + 1.25152i
\(298\) −8.17927 + 14.1669i −0.473813 + 0.820668i
\(299\) 3.10919 30.2084i 0.179809 1.74700i
\(300\) −0.871346 1.36228i −0.0503072 0.0786510i
\(301\) −23.9682 + 13.2468i −1.38151 + 0.763535i
\(302\) −3.26677 + 5.08319i −0.187981 + 0.292505i
\(303\) −15.2947 10.9410i −0.878656 0.628542i
\(304\) 4.58829 3.26730i 0.263156 0.187393i
\(305\) 10.7557 26.8664i 0.615869 1.53837i
\(306\) 2.68296 13.6052i 0.153374 0.777758i
\(307\) −9.38965 14.6106i −0.535896 0.833870i 0.462718 0.886505i \(-0.346874\pi\)
−0.998614 + 0.0526356i \(0.983238\pi\)
\(308\) 8.54025 7.84355i 0.486626 0.446928i
\(309\) −9.22637 + 10.6016i −0.524870 + 0.603106i
\(310\) 0.194972 + 0.0375778i 0.0110737 + 0.00213428i
\(311\) −7.02957 20.3106i −0.398610 1.15171i −0.948584 0.316526i \(-0.897483\pi\)
0.549974 0.835182i \(-0.314638\pi\)
\(312\) 10.3721 3.56486i 0.587206 0.201820i
\(313\) 5.65544 + 4.02722i 0.319665 + 0.227632i 0.728613 0.684925i \(-0.240165\pi\)
−0.408949 + 0.912557i \(0.634105\pi\)
\(314\) 3.48247 2.23805i 0.196527 0.126300i
\(315\) −19.1958 + 2.31070i −1.08156 + 0.130193i
\(316\) −1.83158 12.7389i −0.103035 0.716621i
\(317\) 1.46215 + 15.3123i 0.0821223 + 0.860023i 0.938866 + 0.344282i \(0.111878\pi\)
−0.856744 + 0.515742i \(0.827516\pi\)
\(318\) −0.649768 + 6.65337i −0.0364372 + 0.373103i
\(319\) −16.4883 + 8.50030i −0.923166 + 0.475925i
\(320\) −0.796707 + 2.30193i −0.0445373 + 0.128682i
\(321\) 8.04375 5.14499i 0.448958 0.287165i
\(322\) 11.8986 4.40730i 0.663081 0.245609i
\(323\) 26.0368i 1.44873i
\(324\) −8.38379 + 3.27294i −0.465766 + 0.181830i
\(325\) −2.70901 5.25475i −0.150269 0.291481i
\(326\) 0.249270 0.316973i 0.0138058 0.0175555i
\(327\) 16.3019 + 20.8216i 0.901497 + 1.15144i
\(328\) −3.76407 + 0.541191i −0.207836 + 0.0298823i
\(329\) −1.59935 + 0.0462371i −0.0881751 + 0.00254913i
\(330\) −16.8036 7.71768i −0.925007 0.424844i
\(331\) 0.486504 0.683200i 0.0267407 0.0375520i −0.800989 0.598679i \(-0.795693\pi\)
0.827730 + 0.561127i \(0.189632\pi\)
\(332\) 1.91342 7.88722i 0.105012 0.432867i
\(333\) 20.6224 + 2.05878i 1.13010 + 0.112821i
\(334\) 2.47316 12.8320i 0.135325 0.702134i
\(335\) 20.9306 6.14577i 1.14356 0.335779i
\(336\) 3.24992 + 3.23080i 0.177298 + 0.176254i
\(337\) 15.8846 10.2084i 0.865287 0.556086i −0.0310210 0.999519i \(-0.509876\pi\)
0.896308 + 0.443433i \(0.146240\pi\)
\(338\) 26.3326 6.38821i 1.43230 0.347473i
\(339\) 11.9767 2.28161i 0.650487 0.123920i
\(340\) 6.53130 + 9.17193i 0.354209 + 0.497418i
\(341\) 0.331662 0.132777i 0.0179605 0.00719030i
\(342\) −14.2548 + 9.07460i −0.770813 + 0.490698i
\(343\) 18.4507 1.60380i 0.996243 0.0865970i
\(344\) 10.3507i 0.558071i
\(345\) −13.8232 14.7763i −0.744216 0.795532i
\(346\) 12.9233 + 7.46126i 0.694760 + 0.401120i
\(347\) 1.72814 + 8.96645i 0.0927715 + 0.481344i 0.998363 + 0.0571934i \(0.0182152\pi\)
−0.905592 + 0.424151i \(0.860573\pi\)
\(348\) −3.65190 6.35682i −0.195762 0.340761i
\(349\) 2.19053 + 0.314950i 0.117256 + 0.0168589i 0.200693 0.979654i \(-0.435681\pi\)
−0.0834369 + 0.996513i \(0.526590\pi\)
\(350\) 1.47021 1.98500i 0.0785861 0.106103i
\(351\) −31.6293 + 9.06587i −1.68825 + 0.483900i
\(352\) 1.03326 + 4.25917i 0.0550731 + 0.227015i
\(353\) 1.47858 + 31.0391i 0.0786966 + 1.65205i 0.600973 + 0.799269i \(0.294780\pi\)
−0.522276 + 0.852776i \(0.674917\pi\)
\(354\) 15.0525 7.71914i 0.800030 0.410268i
\(355\) 10.7009 11.2227i 0.567943 0.595642i
\(356\) 0.114524 0.132168i 0.00606977 0.00700489i
\(357\) 20.8788 3.57432i 1.10502 0.189173i
\(358\) 13.5965 3.99228i 0.718596 0.210999i
\(359\) −2.97332 2.11729i −0.156926 0.111746i 0.498897 0.866661i \(-0.333739\pi\)
−0.655823 + 0.754915i \(0.727678\pi\)
\(360\) 2.74517 6.77250i 0.144683 0.356942i
\(361\) −9.21142 + 8.78307i −0.484811 + 0.462267i
\(362\) 7.01625 5.51764i 0.368766 0.290001i
\(363\) −14.0766 + 1.99301i −0.738830 + 0.104606i
\(364\) 10.7325 + 12.8642i 0.562534 + 0.674270i
\(365\) −7.97821 + 12.4143i −0.417598 + 0.649796i
\(366\) 20.0077 4.80827i 1.04582 0.251332i
\(367\) −2.72128 1.57113i −0.142050 0.0820123i 0.427291 0.904114i \(-0.359468\pi\)
−0.569340 + 0.822102i \(0.692801\pi\)
\(368\) −0.717455 + 4.74186i −0.0373999 + 0.247187i
\(369\) 11.3612 1.03555i 0.591442 0.0539088i
\(370\) −12.7177 + 11.0200i −0.661164 + 0.572902i
\(371\) −9.84999 + 2.69323i −0.511386 + 0.139826i
\(372\) 0.0583745 + 0.128554i 0.00302658 + 0.00666519i
\(373\) −17.9872 + 1.71757i −0.931343 + 0.0889325i −0.549686 0.835372i \(-0.685253\pi\)
−0.381657 + 0.924304i \(0.624646\pi\)
\(374\) 18.8075 + 7.52940i 0.972514 + 0.389336i
\(375\) 16.6641 + 4.08065i 0.860530 + 0.210724i
\(376\) 0.277113 0.537524i 0.0142910 0.0277207i
\(377\) −11.1339 24.3797i −0.573423 1.25562i
\(378\) −9.23379 10.1851i −0.474935 0.523867i
\(379\) −6.69767 + 7.72952i −0.344036 + 0.397039i −0.901228 0.433345i \(-0.857333\pi\)
0.557192 + 0.830384i \(0.311879\pi\)
\(380\) 2.59668 13.4728i 0.133207 0.691142i
\(381\) −2.76771 + 0.951250i −0.141794 + 0.0487340i
\(382\) −18.2234 1.74012i −0.932390 0.0890325i
\(383\) 0.491863 + 0.253573i 0.0251330 + 0.0129570i 0.470747 0.882268i \(-0.343984\pi\)
−0.445614 + 0.895225i \(0.647015\pi\)
\(384\) −1.66294 + 0.484399i −0.0848614 + 0.0247194i
\(385\) 1.87126 28.1837i 0.0953683 1.43637i
\(386\) −18.2322 8.32635i −0.927993 0.423800i
\(387\) −1.61096 + 31.0102i −0.0818898 + 1.57634i
\(388\) 7.29023 + 14.1411i 0.370105 + 0.717904i
\(389\) 6.55570 + 34.0142i 0.332387 + 1.72459i 0.635910 + 0.771763i \(0.280625\pi\)
−0.303523 + 0.952824i \(0.598163\pi\)
\(390\) 12.2931 23.7199i 0.622485 1.20110i
\(391\) 15.9309 + 15.4156i 0.805659 + 0.779601i
\(392\) −2.84278 + 6.39676i −0.143582 + 0.323085i
\(393\) 6.20629 20.9697i 0.313066 1.05778i
\(394\) 0.456824 9.58992i 0.0230145 0.483133i
\(395\) −24.6427 19.3793i −1.23991 0.975076i
\(396\) −2.43273 12.9211i −0.122249 0.649311i
\(397\) 10.0016 + 12.7181i 0.501967 + 0.638303i 0.969330 0.245762i \(-0.0790383\pi\)
−0.467363 + 0.884065i \(0.654796\pi\)
\(398\) −13.1588 3.86376i −0.659589 0.193673i
\(399\) −20.7094 15.4078i −1.03677 0.771353i
\(400\) 0.387847 + 0.849267i 0.0193924 + 0.0424634i
\(401\) −2.06227 + 2.16284i −0.102985 + 0.108007i −0.773209 0.634152i \(-0.781349\pi\)
0.670224 + 0.742159i \(0.266198\pi\)
\(402\) 12.1718 + 9.61446i 0.607074 + 0.479526i
\(403\) 0.168820 + 0.487772i 0.00840950 + 0.0242977i
\(404\) 7.85768 + 7.49228i 0.390934 + 0.372755i
\(405\) −9.27848 + 19.8629i −0.461052 + 0.986995i
\(406\) 7.08582 8.67165i 0.351663 0.430367i
\(407\) −8.53005 + 29.0507i −0.422819 + 1.43999i
\(408\) −2.63486 + 7.56026i −0.130445 + 0.374289i
\(409\) −22.5955 + 16.0902i −1.11728 + 0.795610i −0.980797 0.195033i \(-0.937519\pi\)
−0.136481 + 0.990643i \(0.543579\pi\)
\(410\) −5.72613 + 7.28137i −0.282793 + 0.359601i
\(411\) 17.4345 + 30.3480i 0.859980 + 1.49696i
\(412\) 6.13230 5.31367i 0.302117 0.261786i
\(413\) 19.2089 + 17.2838i 0.945206 + 0.850482i
\(414\) 2.88748 14.0948i 0.141912 0.692720i
\(415\) −9.88490 17.1211i −0.485231 0.840444i
\(416\) −6.21774 + 1.19837i −0.304850 + 0.0587550i
\(417\) −6.85168 + 11.8087i −0.335528 + 0.578275i
\(418\) −9.17510 22.9183i −0.448769 1.12097i
\(419\) 5.06570 11.0923i 0.247476 0.541896i −0.744604 0.667506i \(-0.767362\pi\)
0.992080 + 0.125610i \(0.0400889\pi\)
\(420\) 11.1603 + 0.232720i 0.544567 + 0.0113556i
\(421\) −24.7086 7.25509i −1.20422 0.353591i −0.382756 0.923849i \(-0.625025\pi\)
−0.821466 + 0.570258i \(0.806843\pi\)
\(422\) 2.22436 4.31466i 0.108280 0.210034i
\(423\) −0.913878 + 1.56727i −0.0444343 + 0.0762033i
\(424\) 0.909936 3.75081i 0.0441904 0.182155i
\(425\) 4.23767 + 0.816744i 0.205557 + 0.0396179i
\(426\) 10.9104 + 1.59265i 0.528612 + 0.0771641i
\(427\) 17.7507 + 25.9405i 0.859017 + 1.25535i
\(428\) −5.01462 + 2.29010i −0.242391 + 0.110696i
\(429\) −4.46620 47.8601i −0.215630 2.31071i
\(430\) −17.3992 18.2477i −0.839062 0.879983i
\(431\) 0.496928 1.24127i 0.0239362 0.0597897i −0.915918 0.401365i \(-0.868536\pi\)
0.939855 + 0.341575i \(0.110960\pi\)
\(432\) 5.05748 1.19242i 0.243328 0.0573704i
\(433\) 34.7889 + 5.00189i 1.67185 + 0.240375i 0.912137 0.409886i \(-0.134432\pi\)
0.759710 + 0.650262i \(0.225341\pi\)
\(434\) −0.151719 + 0.153275i −0.00728273 + 0.00735743i
\(435\) −17.1237 5.06802i −0.821020 0.242993i
\(436\) −7.63376 13.2221i −0.365591 0.633221i
\(437\) 0.198919 27.0129i 0.00951559 1.29220i
\(438\) −10.4821 + 0.476723i −0.500854 + 0.0227787i
\(439\) −19.2218 6.65273i −0.917406 0.317517i −0.172750 0.984966i \(-0.555265\pi\)
−0.744656 + 0.667448i \(0.767387\pi\)
\(440\) 8.98112 + 5.77182i 0.428158 + 0.275161i
\(441\) 9.51244 18.7220i 0.452974 0.891524i
\(442\) −12.1591 + 26.6248i −0.578352 + 1.26641i
\(443\) −4.02107 5.11321i −0.191047 0.242936i 0.681088 0.732202i \(-0.261507\pi\)
−0.872135 + 0.489266i \(0.837265\pi\)
\(444\) −11.6222 2.84599i −0.551563 0.135065i
\(445\) −0.0202699 0.425517i −0.000960883 0.0201714i
\(446\) −2.60362 + 3.65628i −0.123285 + 0.173130i
\(447\) −18.6007 + 21.3733i −0.879785 + 1.01092i
\(448\) −1.59633 2.10992i −0.0754193 0.0996842i
\(449\) −6.00988 5.20759i −0.283624 0.245761i 0.501417 0.865206i \(-0.332812\pi\)
−0.785040 + 0.619445i \(0.787358\pi\)
\(450\) −1.02980 2.60473i −0.0485451 0.122788i
\(451\) −1.58425 + 16.5910i −0.0745994 + 0.781240i
\(452\) −7.03115 + 0.334935i −0.330718 + 0.0157540i
\(453\) −7.23847 + 7.55886i −0.340093 + 0.355146i
\(454\) 3.13421 0.450631i 0.147096 0.0211491i
\(455\) 40.5452 + 4.63808i 1.90079 + 0.217436i
\(456\) 8.88322 4.03376i 0.415995 0.188898i
\(457\) 1.56534 32.8605i 0.0732234 1.53715i −0.601378 0.798965i \(-0.705381\pi\)
0.674601 0.738183i \(-0.264316\pi\)
\(458\) −20.4308 + 3.93771i −0.954667 + 0.183997i
\(459\) 9.07060 22.2402i 0.423379 1.03808i
\(460\) 6.70608 + 9.56568i 0.312673 + 0.446002i
\(461\) −32.6223 −1.51937 −0.759686 0.650290i \(-0.774647\pi\)
−0.759686 + 0.650290i \(0.774647\pi\)
\(462\) 17.1185 10.5037i 0.796426 0.488676i
\(463\) −28.1723 18.1052i −1.30928 0.841422i −0.315088 0.949062i \(-0.602034\pi\)
−0.994190 + 0.107640i \(0.965671\pi\)
\(464\) 1.57311 + 3.92944i 0.0730298 + 0.182420i
\(465\) 0.319006 + 0.128508i 0.0147935 + 0.00595940i
\(466\) −13.2247 5.29437i −0.612622 0.245257i
\(467\) 5.63725 + 23.2371i 0.260861 + 1.07528i 0.939973 + 0.341248i \(0.110850\pi\)
−0.679112 + 0.734034i \(0.737635\pi\)
\(468\) 18.8146 2.62255i 0.869706 0.121228i
\(469\) −7.09909 + 22.6049i −0.327805 + 1.04380i
\(470\) −0.415024 1.41344i −0.0191437 0.0651973i
\(471\) 6.66214 2.65050i 0.306975 0.122129i
\(472\) −9.22949 + 3.19436i −0.424821 + 0.147032i
\(473\) −44.0853 10.6950i −2.02704 0.491756i
\(474\) 1.10857 22.2638i 0.0509182 1.02261i
\(475\) −2.84319 4.42409i −0.130455 0.202991i
\(476\) −12.2246 + 0.353413i −0.560315 + 0.0161987i
\(477\) −3.30990 + 11.0956i −0.151550 + 0.508035i
\(478\) 11.5021 1.09832i 0.526095 0.0502359i
\(479\) 4.91999 + 3.86912i 0.224800 + 0.176785i 0.724207 0.689583i \(-0.242206\pi\)
−0.499407 + 0.866368i \(0.666449\pi\)
\(480\) −2.11741 + 3.64931i −0.0966462 + 0.166568i
\(481\) −41.3387 14.3074i −1.88488 0.652364i
\(482\) 16.3025 0.742560
\(483\) 21.6888 3.54881i 0.986877 0.161476i
\(484\) 8.20818 0.373099
\(485\) 36.6230 + 12.6753i 1.66296 + 0.575557i
\(486\) −15.3376 + 2.78531i −0.695728 + 0.126344i
\(487\) 8.57163 + 6.74080i 0.388418 + 0.305455i 0.793204 0.608956i \(-0.208412\pi\)
−0.404786 + 0.914411i \(0.632654\pi\)
\(488\) −11.8266 + 1.12930i −0.535363 + 0.0511210i
\(489\) 0.528831 0.456247i 0.0239146 0.0206322i
\(490\) 5.74107 + 16.0558i 0.259355 + 0.725327i
\(491\) 7.06839 + 10.9986i 0.318992 + 0.496361i 0.963308 0.268398i \(-0.0864943\pi\)
−0.644316 + 0.764759i \(0.722858\pi\)
\(492\) −6.57845 0.327557i −0.296579 0.0147674i
\(493\) 19.0135 + 4.61262i 0.856323 + 0.207742i
\(494\) 33.7057 11.6657i 1.51649 0.524863i
\(495\) −26.0088 18.6899i −1.16901 0.840050i
\(496\) −0.0229652 0.0782121i −0.00103117 0.00351183i
\(497\) 3.66407 + 16.4392i 0.164356 + 0.737399i
\(498\) 5.86712 12.7744i 0.262912 0.572434i
\(499\) −7.69510 31.7196i −0.344480 1.41997i −0.835823 0.549000i \(-0.815009\pi\)
0.491343 0.870966i \(-0.336506\pi\)
\(500\) −9.19574 3.68142i −0.411246 0.164638i
\(501\) 8.45764 20.9951i 0.377860 0.937994i
\(502\) −7.07993 17.6848i −0.315993 0.789311i
\(503\) 9.62150 + 6.18336i 0.429001 + 0.275702i 0.737272 0.675596i \(-0.236114\pi\)
−0.308270 + 0.951299i \(0.599750\pi\)
\(504\) 4.45414 + 6.56967i 0.198403 + 0.292637i
\(505\) 26.4470 1.17687
\(506\) 19.4551 + 7.95536i 0.864884 + 0.353659i
\(507\) 46.8838 2.13227i 2.08218 0.0946973i
\(508\) 1.65915 0.319775i 0.0736128 0.0141877i
\(509\) −0.640550 + 13.4468i −0.0283919 + 0.596019i 0.939180 + 0.343424i \(0.111587\pi\)
−0.967572 + 0.252594i \(0.918716\pi\)
\(510\) 8.06343 + 17.7575i 0.357055 + 0.786314i
\(511\) −6.38460 14.7017i −0.282438 0.650365i
\(512\) 0.989821 0.142315i 0.0437443 0.00628949i
\(513\) −27.2416 + 10.7024i −1.20275 + 0.472523i
\(514\) −18.9077 + 0.900684i −0.833982 + 0.0397275i
\(515\) 1.87882 19.6759i 0.0827908 0.867024i
\(516\) 3.43074 17.5966i 0.151030 0.774646i
\(517\) −2.00307 1.73567i −0.0880951 0.0763349i
\(518\) −2.26247 18.1371i −0.0994072 0.796898i
\(519\) 19.4971 + 16.9679i 0.855827 + 0.744808i
\(520\) −8.94713 + 12.5645i −0.392358 + 0.550989i
\(521\) 0.865387 + 18.1667i 0.0379133 + 0.795898i 0.935129 + 0.354306i \(0.115283\pi\)
−0.897216 + 0.441592i \(0.854414\pi\)
\(522\) −4.10141 12.0173i −0.179514 0.525982i
\(523\) −1.54318 1.96231i −0.0674784 0.0858057i 0.751142 0.660140i \(-0.229503\pi\)
−0.818621 + 0.574335i \(0.805261\pi\)
\(524\) −5.24502 + 11.4850i −0.229130 + 0.501724i
\(525\) 3.15735 2.88728i 0.137798 0.126011i
\(526\) 5.58389 + 3.58855i 0.243469 + 0.156468i
\(527\) −0.356068 0.123236i −0.0155106 0.00536826i
\(528\) 0.344884 + 7.58324i 0.0150092 + 0.330018i
\(529\) 16.4103 + 16.1152i 0.713493 + 0.700663i
\(530\) −4.70081 8.14205i −0.204190 0.353668i
\(531\) 28.1483 8.13370i 1.22153 0.352973i
\(532\) 10.5915 + 10.4840i 0.459200 + 0.454538i
\(533\) −23.8347 3.42691i −1.03240 0.148436i
\(534\) 0.238503 0.186732i 0.0103210 0.00808067i
\(535\) −4.99093 + 12.4667i −0.215777 + 0.538984i
\(536\) −6.17984 6.48123i −0.266929 0.279947i
\(537\) 24.4378 2.28048i 1.05457 0.0984101i
\(538\) −0.983322 + 0.449068i −0.0423940 + 0.0193607i
\(539\) 24.3076 + 18.7174i 1.04700 + 0.806217i
\(540\) 6.91166 10.6036i 0.297430 0.456308i
\(541\) 33.2454 + 6.40752i 1.42933 + 0.275481i 0.844448 0.535637i \(-0.179929\pi\)
0.584882 + 0.811118i \(0.301141\pi\)
\(542\) 1.60207 6.60380i 0.0688146 0.283658i
\(543\) 13.7567 7.05467i 0.590358 0.302745i
\(544\) 2.11811 4.10856i 0.0908133 0.176153i
\(545\) −35.6838 10.4777i −1.52852 0.448815i
\(546\) 13.9818 + 25.4270i 0.598364 + 1.08818i
\(547\) 9.67537 21.1861i 0.413689 0.905852i −0.582008 0.813183i \(-0.697733\pi\)
0.995697 0.0926691i \(-0.0295399\pi\)
\(548\) −7.51017 18.7595i −0.320819 0.801366i
\(549\) 35.6077 1.54267i 1.51970 0.0658395i
\(550\) 4.01792 0.774391i 0.171325 0.0330201i
\(551\) −11.9206 20.6472i −0.507836 0.879598i
\(552\) −2.79140 + 7.82356i −0.118810 + 0.332993i
\(553\) 32.3805 10.5333i 1.37696 0.447922i
\(554\) 14.4927 12.5580i 0.615736 0.533538i
\(555\) −25.2733 + 14.5191i −1.07279 + 0.616303i
\(556\) 4.87250 6.19589i 0.206640 0.262764i
\(557\) −10.1941 + 7.25916i −0.431936 + 0.307580i −0.775266 0.631634i \(-0.782384\pi\)
0.343330 + 0.939215i \(0.388445\pi\)
\(558\) 0.0566299 + 0.237895i 0.00239733 + 0.0100709i
\(559\) 18.4654 62.8873i 0.781003 2.65985i
\(560\) −6.36094 1.03630i −0.268799 0.0437918i
\(561\) 29.4779 + 19.0341i 1.24456 + 0.803619i
\(562\) −11.1870 10.6668i −0.471897 0.449953i
\(563\) −1.21459 3.50933i −0.0511889 0.147900i 0.916508 0.400015i \(-0.130995\pi\)
−0.967697 + 0.252115i \(0.918874\pi\)
\(564\) 0.649266 0.821963i 0.0273390 0.0346109i
\(565\) −11.8325 + 12.4096i −0.497799 + 0.522076i
\(566\) 2.12495 + 4.65300i 0.0893184 + 0.195580i
\(567\) −12.3219 20.3757i −0.517473 0.855700i
\(568\) −6.10803 1.79348i −0.256287 0.0752528i
\(569\) −25.2673 32.1299i −1.05926 1.34696i −0.934976 0.354711i \(-0.884579\pi\)
−0.124283 0.992247i \(-0.539663\pi\)
\(570\) 8.88005 22.0437i 0.371944 0.923310i
\(571\) −12.7479 10.0250i −0.533482 0.419535i 0.314738 0.949178i \(-0.398083\pi\)
−0.848220 + 0.529644i \(0.822326\pi\)
\(572\) −1.32050 + 27.7207i −0.0552128 + 1.15906i
\(573\) −30.4038 8.99845i −1.27014 0.375916i
\(574\) −3.11235 9.56770i −0.129907 0.399348i
\(575\) 4.39030 + 0.879738i 0.183088 + 0.0366876i
\(576\) −2.98762 + 0.272315i −0.124484 + 0.0113465i
\(577\) 0.207821 + 1.07828i 0.00865171 + 0.0448893i 0.985998 0.166757i \(-0.0533296\pi\)
−0.977346 + 0.211646i \(0.932117\pi\)
\(578\) −2.00093 3.88126i −0.0832276 0.161439i
\(579\) −28.2357 20.1982i −1.17343 0.839409i
\(580\) 9.37858 + 4.28305i 0.389424 + 0.177844i
\(581\) 21.4257 + 1.42257i 0.888889 + 0.0590180i
\(582\) 7.70661 + 26.4567i 0.319449 + 1.09667i
\(583\) −15.0351 7.75115i −0.622691 0.321020i
\(584\) 6.03066 + 0.575858i 0.249551 + 0.0238292i
\(585\) 28.7608 36.2502i 1.18911 1.49876i
\(586\) −5.18546 + 26.9047i −0.214209 + 1.11142i
\(587\) 4.06652 4.69301i 0.167843 0.193701i −0.665596 0.746312i \(-0.731823\pi\)
0.833440 + 0.552610i \(0.186368\pi\)
\(588\) −6.95306 + 9.93252i −0.286739 + 0.409610i
\(589\) 0.190736 + 0.417654i 0.00785915 + 0.0172091i
\(590\) −10.9015 + 21.1459i −0.448807 + 0.870565i
\(591\) 3.95521 16.1518i 0.162696 0.664398i
\(592\) 6.41345 + 2.56756i 0.263591 + 0.105526i
\(593\) −1.63676 + 0.156292i −0.0672137 + 0.00641813i −0.128609 0.991695i \(-0.541051\pi\)
0.0613950 + 0.998114i \(0.480445\pi\)
\(594\) 0.146984 22.7728i 0.00603083 0.934378i
\(595\) −20.9573 + 21.1723i −0.859167 + 0.867979i
\(596\) 12.3630 10.7126i 0.506407 0.438804i
\(597\) −21.0898 10.9300i −0.863148 0.447337i
\(598\) −12.8184 + 27.5301i −0.524183 + 1.12579i
\(599\) 4.34278 + 2.50730i 0.177441 + 0.102446i 0.586090 0.810246i \(-0.300667\pi\)
−0.408649 + 0.912692i \(0.634000\pi\)
\(600\) 0.377866 + 1.57234i 0.0154263 + 0.0641906i
\(601\) −3.05539 + 4.75427i −0.124632 + 0.193931i −0.897962 0.440072i \(-0.854953\pi\)
0.773331 + 0.634003i \(0.218589\pi\)
\(602\) 26.9826 4.67903i 1.09973 0.190703i
\(603\) 17.5058 + 20.3793i 0.712893 + 0.829911i
\(604\) 4.74965 3.73516i 0.193260 0.151982i
\(605\) 14.4706 13.7977i 0.588313 0.560955i
\(606\) 10.8750 + 15.3416i 0.441769 + 0.623211i
\(607\) −9.46967 6.74332i −0.384362 0.273703i 0.371501 0.928432i \(-0.378843\pi\)
−0.755863 + 0.654729i \(0.772783\pi\)
\(608\) −5.40456 + 1.58692i −0.219184 + 0.0643582i
\(609\) 14.9204 12.3936i 0.604606 0.502212i
\(610\) −18.9513 + 21.8710i −0.767315 + 0.885529i
\(611\) 2.64258 2.77145i 0.106907 0.112121i
\(612\) −6.98523 + 11.9794i −0.282361 + 0.484240i
\(613\) −2.18782 45.9280i −0.0883652 1.85501i −0.414949 0.909845i \(-0.636201\pi\)
0.326584 0.945168i \(-0.394102\pi\)
\(614\) 4.09457 + 16.8781i 0.165244 + 0.681143i
\(615\) −12.1481 + 10.4807i −0.489858 + 0.422622i
\(616\) −10.6359 + 4.61892i −0.428533 + 0.186102i
\(617\) 0.212310 + 0.0305256i 0.00854728 + 0.00122891i 0.146587 0.989198i \(-0.453171\pi\)
−0.138040 + 0.990427i \(0.544080\pi\)
\(618\) 12.1864 7.00090i 0.490208 0.281617i
\(619\) −8.45530 43.8703i −0.339847 1.76329i −0.602222 0.798328i \(-0.705718\pi\)
0.262375 0.964966i \(-0.415494\pi\)
\(620\) −0.171958 0.0992803i −0.00690602 0.00398719i
\(621\) 9.58056 23.0046i 0.384455 0.923144i
\(622\) 21.4927i 0.861778i
\(623\) 0.396312 + 0.238800i 0.0158779 + 0.00956733i
\(624\) −10.9676 0.0235961i −0.439056 0.000944599i
\(625\) −26.7338 + 10.7026i −1.06935 + 0.428103i
\(626\) −4.02722 5.65544i −0.160960 0.226037i
\(627\) −8.00175 42.0031i −0.319559 1.67744i
\(628\) −4.02293 + 0.975952i −0.160532 + 0.0389447i
\(629\) 26.8638 17.2643i 1.07113 0.688373i
\(630\) 18.8958 + 4.09473i 0.752828 + 0.163138i
\(631\) 39.2080 11.5125i 1.56084 0.458305i 0.616525 0.787335i \(-0.288540\pi\)
0.944319 + 0.329030i \(0.106722\pi\)
\(632\) −2.43565 + 12.6374i −0.0968850 + 0.502687i
\(633\) 5.21161 6.59783i 0.207143 0.262240i
\(634\) 3.62643 14.9483i 0.144024 0.593674i
\(635\) 2.38746 3.35272i 0.0947435 0.133049i
\(636\) 2.79014 6.07493i 0.110636 0.240887i
\(637\) −28.6835 + 33.7932i −1.13648 + 1.33893i
\(638\) 18.3616 2.64000i 0.726943 0.104519i
\(639\) 18.0203 + 6.32384i 0.712872 + 0.250167i
\(640\) 1.50578 1.91475i 0.0595211 0.0756872i
\(641\) 12.7557 + 24.7427i 0.503821 + 0.977276i 0.994380 + 0.105868i \(0.0337622\pi\)
−0.490559 + 0.871408i \(0.663207\pi\)
\(642\) −9.28411 + 2.23116i −0.366415 + 0.0880570i
\(643\) 11.0653i 0.436375i 0.975907 + 0.218187i \(0.0700144\pi\)
−0.975907 + 0.218187i \(0.929986\pi\)
\(644\) −12.6856 + 0.273267i −0.499884 + 0.0107682i
\(645\) −23.5311 36.7888i −0.926534 1.44856i
\(646\) −8.51580 + 24.6048i −0.335050 + 0.968062i
\(647\) −32.3705 + 16.6882i −1.27262 + 0.656079i −0.956248 0.292557i \(-0.905494\pi\)
−0.316368 + 0.948637i \(0.602463\pi\)
\(648\) 8.99316 0.350859i 0.353285 0.0137830i
\(649\) 4.06882 + 42.6106i 0.159715 + 1.67261i
\(650\) 0.841359 + 5.85178i 0.0330008 + 0.229526i
\(651\) −0.308731 + 0.210286i −0.0121001 + 0.00824177i
\(652\) −0.339233 + 0.218012i −0.0132854 + 0.00853799i
\(653\) 26.9584 + 19.1970i 1.05496 + 0.751237i 0.969497 0.245104i \(-0.0788221\pi\)
0.0854680 + 0.996341i \(0.472761\pi\)
\(654\) −8.59524 25.0083i −0.336100 0.977900i
\(655\) 10.0592 + 29.0641i 0.393045 + 1.13563i
\(656\) 3.73405 + 0.719680i 0.145790 + 0.0280988i
\(657\) −17.9780 2.66385i −0.701388 0.103927i
\(658\) 1.52651 + 0.479402i 0.0595096 + 0.0186890i
\(659\) −21.9104 34.0933i −0.853510 1.32809i −0.943237 0.332121i \(-0.892236\pi\)
0.0897273 0.995966i \(-0.471400\pi\)
\(660\) 13.3552 + 12.7891i 0.519850 + 0.497816i
\(661\) −11.6672 + 29.1434i −0.453803 + 1.13355i 0.508378 + 0.861134i \(0.330245\pi\)
−0.962181 + 0.272411i \(0.912179\pi\)
\(662\) −0.683200 + 0.486504i −0.0265533 + 0.0189085i
\(663\) −29.4959 + 41.2331i −1.14553 + 1.60136i
\(664\) −4.38784 + 6.82761i −0.170281 + 0.264963i
\(665\) 36.2955 + 0.678733i 1.40748 + 0.0263201i
\(666\) −18.8148 8.69048i −0.729060 0.336749i
\(667\) 19.6910 + 4.93080i 0.762440 + 0.190921i
\(668\) −6.53406 + 11.3173i −0.252811 + 0.437881i
\(669\) −5.63814 + 5.35285i −0.217983 + 0.206953i
\(670\) −21.7895 1.03796i −0.841801 0.0400999i
\(671\) −7.41008 + 51.5382i −0.286063 + 1.98961i
\(672\) −2.01448 4.11605i −0.0777104 0.158780i
\(673\) 0.107194 + 0.745553i 0.00413204 + 0.0287390i 0.991783 0.127930i \(-0.0408334\pi\)
−0.987651 + 0.156669i \(0.949924\pi\)
\(674\) −18.3497 + 4.45160i −0.706806 + 0.171469i
\(675\) −0.887354 4.76948i −0.0341543 0.183577i
\(676\) −26.9737 2.57567i −1.03745 0.0990644i
\(677\) 27.0073 + 25.7515i 1.03798 + 0.989709i 0.999954 0.00956816i \(-0.00304569\pi\)
0.0380224 + 0.999277i \(0.487894\pi\)
\(678\) −12.0643 1.76108i −0.463325 0.0676338i
\(679\) −33.5680 + 25.3970i −1.28822 + 0.974647i
\(680\) −3.17224 10.8037i −0.121650 0.414301i
\(681\) 5.47764 + 0.272745i 0.209904 + 0.0104516i
\(682\) −0.356848 + 0.0169988i −0.0136644 + 0.000650916i
\(683\) 18.7215 + 19.6346i 0.716360 + 0.751296i 0.976791 0.214196i \(-0.0687132\pi\)
−0.260431 + 0.965492i \(0.583865\pi\)
\(684\) 16.4388 3.91320i 0.628555 0.149625i
\(685\) −44.7742 20.4477i −1.71073 0.781265i
\(686\) −17.9605 4.51904i −0.685734 0.172538i
\(687\) −36.0383 0.0775340i −1.37495 0.00295811i
\(688\) −3.38537 + 9.78140i −0.129066 + 0.372912i
\(689\) 12.2198 21.1654i 0.465538 0.806336i
\(690\) 8.23006 + 18.4848i 0.313313 + 0.703704i
\(691\) −32.0211 + 18.4874i −1.21814 + 0.703293i −0.964519 0.264012i \(-0.914954\pi\)
−0.253619 + 0.967304i \(0.581621\pi\)
\(692\) −9.77217 11.2777i −0.371482 0.428713i
\(693\) 32.5837 12.1827i 1.23775 0.462784i
\(694\) 1.29954 9.03852i 0.0493300 0.343097i
\(695\) −1.82512 19.1136i −0.0692309 0.725018i
\(696\) 1.37194 + 7.20162i 0.0520031 + 0.272977i
\(697\) 12.7218 12.1302i 0.481872 0.459464i
\(698\) −1.96704 1.01408i −0.0744535 0.0383835i
\(699\) −20.7277 13.3840i −0.783994 0.506229i
\(700\) −2.03858 + 1.39497i −0.0770512 + 0.0527249i
\(701\) −4.32635 3.74881i −0.163404 0.141590i 0.569321 0.822116i \(-0.307206\pi\)
−0.732725 + 0.680525i \(0.761752\pi\)
\(702\) 32.8549 + 1.77767i 1.24003 + 0.0670940i
\(703\) −37.8157 9.17400i −1.42625 0.346004i
\(704\) 0.416603 4.36287i 0.0157013 0.164432i
\(705\) −0.237071 2.54047i −0.00892862 0.0956797i
\(706\) 8.75465 29.8156i 0.329485 1.12212i
\(707\) −15.9792 + 23.8706i −0.600958 + 0.897748i
\(708\) −16.7493 + 2.37141i −0.629476 + 0.0891232i
\(709\) 2.52742 1.01182i 0.0949191 0.0379999i −0.323717 0.946154i \(-0.604933\pi\)
0.418636 + 0.908154i \(0.362508\pi\)
\(710\) −13.7829 + 7.10560i −0.517264 + 0.266668i
\(711\) 9.26397 37.4820i 0.347426 1.40568i
\(712\) −0.151453 + 0.0874416i −0.00567595 + 0.00327701i
\(713\) −0.368475 0.130577i −0.0137995 0.00489014i
\(714\) −20.8995 3.45105i −0.782145 0.129152i
\(715\) 44.2695 + 51.0898i 1.65559 + 1.91065i
\(716\) −14.1544 0.674258i −0.528976 0.0251982i
\(717\) 19.9181 + 1.94520i 0.743856 + 0.0726449i
\(718\) 2.11729 + 2.97332i 0.0790167 + 0.110963i
\(719\) 9.22953 7.25818i 0.344203 0.270684i −0.431059 0.902324i \(-0.641860\pi\)
0.775262 + 0.631639i \(0.217618\pi\)
\(720\) −4.80926 + 5.50216i −0.179230 + 0.205053i
\(721\) 16.6240 + 13.5839i 0.619111 + 0.505892i
\(722\) 11.5775 5.28725i 0.430868 0.196771i
\(723\) 27.7150 + 5.40349i 1.03073 + 0.200958i
\(724\) −8.43500 + 2.91938i −0.313484 + 0.108498i
\(725\) 3.73441 1.29249i 0.138692 0.0480019i
\(726\) 13.9542 + 2.72061i 0.517890 + 0.100971i
\(727\) −17.6940 + 8.08060i −0.656236 + 0.299693i −0.715565 0.698546i \(-0.753831\pi\)
0.0593299 + 0.998238i \(0.481104\pi\)
\(728\) −5.93470 15.6670i −0.219955 0.580656i
\(729\) −26.9978 0.348522i −0.999917 0.0129082i
\(730\) 11.5997 9.12214i 0.429326 0.337625i
\(731\) 27.7529 + 38.9734i 1.02648 + 1.44149i
\(732\) −20.4799 2.00007i −0.756960 0.0739247i
\(733\) 3.87775 + 0.184720i 0.143228 + 0.00682279i 0.119073 0.992885i \(-0.462008\pi\)
0.0241545 + 0.999708i \(0.492311\pi\)
\(734\) 2.05774 + 2.37476i 0.0759527 + 0.0876541i
\(735\) 4.43836 + 29.1984i 0.163711 + 1.07700i
\(736\) 2.22891 4.24641i 0.0821586 0.156525i
\(737\) −33.9901 + 19.6242i −1.25204 + 0.722866i
\(738\) −11.0751 2.73729i −0.407679 0.100761i
\(739\) −25.7125 + 13.2557i −0.945849 + 0.487619i −0.860905 0.508767i \(-0.830102\pi\)
−0.0849447 + 0.996386i \(0.527071\pi\)
\(740\) 15.6226 6.25433i 0.574297 0.229914i
\(741\) 61.1677 8.66031i 2.24705 0.318144i
\(742\) 10.1891 + 0.676508i 0.374054 + 0.0248354i
\(743\) 4.26954 14.5407i 0.156634 0.533448i −0.843358 0.537352i \(-0.819425\pi\)
0.999992 + 0.00390448i \(0.00124284\pi\)
\(744\) −0.0131182 0.140576i −0.000480937 0.00515375i
\(745\) 3.78778 39.6675i 0.138774 1.45330i
\(746\) 17.5597 + 4.25994i 0.642906 + 0.155967i
\(747\) 14.2084 19.7723i 0.519859 0.723432i
\(748\) −15.3105 13.2666i −0.559807 0.485076i
\(749\) −8.23680 12.0371i −0.300966 0.439826i
\(750\) −14.4129 9.30650i −0.526286 0.339825i
\(751\) 13.2246 + 6.81775i 0.482572 + 0.248783i 0.682306 0.731067i \(-0.260977\pi\)
−0.199733 + 0.979850i \(0.564008\pi\)
\(752\) −0.437678 + 0.417326i −0.0159605 + 0.0152183i
\(753\) −6.17452 32.4115i −0.225012 1.18114i
\(754\) 2.54767 + 26.6804i 0.0927806 + 0.971643i
\(755\) 2.09469 14.5689i 0.0762337 0.530217i
\(756\) 5.39470 + 12.6450i 0.196203 + 0.459896i
\(757\) 24.0759 + 27.7851i 0.875054 + 1.00987i 0.999844 + 0.0176826i \(0.00562882\pi\)
−0.124790 + 0.992183i \(0.539826\pi\)
\(758\) 8.85738 5.11381i 0.321714 0.185742i
\(759\) 30.4376 + 19.9728i 1.10482 + 0.724968i
\(760\) −6.86040 + 11.8826i −0.248853 + 0.431026i
\(761\) 4.86494 14.0563i 0.176354 0.509541i −0.821833 0.569728i \(-0.807049\pi\)
0.998187 + 0.0601872i \(0.0191698\pi\)
\(762\) 2.92661 + 0.00629641i 0.106020 + 0.000228095i
\(763\) 31.0170 25.8771i 1.12289 0.936813i
\(764\) 16.6520 + 7.60471i 0.602448 + 0.275129i
\(765\) 7.82244 + 32.8610i 0.282821 + 1.18809i
\(766\) −0.381876 0.400500i −0.0137977 0.0144706i
\(767\) −61.7740 + 2.94266i −2.23053 + 0.106253i
\(768\) 1.72991 + 0.0861363i 0.0624227 + 0.00310817i
\(769\) 12.1588 + 41.4092i 0.438459 + 1.49325i 0.821869 + 0.569676i \(0.192931\pi\)
−0.383410 + 0.923578i \(0.625250\pi\)
\(770\) −10.9863 + 26.0216i −0.395919 + 0.937752i
\(771\) −32.4424 4.73577i −1.16838 0.170555i
\(772\) 14.5061 + 13.8316i 0.522087 + 0.497809i
\(773\) −14.1917 1.35514i −0.510439 0.0487410i −0.163341 0.986570i \(-0.552227\pi\)
−0.347098 + 0.937829i \(0.612833\pi\)
\(774\) 11.6648 28.7778i 0.419283 1.03440i
\(775\) −0.0739593 + 0.0179423i −0.00265670 + 0.000644508i
\(776\) −2.26418 15.7477i −0.0812793 0.565310i
\(777\) 2.16527 31.5837i 0.0776785 1.13306i
\(778\) 4.92981 34.2876i 0.176742 1.22927i
\(779\) −21.3957 1.01920i −0.766582 0.0365168i
\(780\) −19.3750 + 18.3946i −0.693736 + 0.658633i
\(781\) −13.9500 + 24.1620i −0.499169 + 0.864585i
\(782\) −10.0127 19.7782i −0.358055 0.707268i
\(783\) −2.98942 21.7893i −0.106833 0.778686i
\(784\) 4.77861 5.11516i 0.170665 0.182684i
\(785\) −5.45167 + 8.48296i −0.194578 + 0.302770i
\(786\) −12.7235 + 17.7865i −0.453831 + 0.634423i
\(787\) 2.76625 1.96983i 0.0986060 0.0702170i −0.529690 0.848191i \(-0.677692\pi\)
0.628296 + 0.777974i \(0.283753\pi\)
\(788\) −3.56825 + 8.91307i −0.127114 + 0.317515i
\(789\) 8.30341 + 7.95146i 0.295609 + 0.283079i
\(790\) 16.9491 + 26.3733i 0.603021 + 0.938319i
\(791\) −4.05156 18.1777i −0.144057 0.646326i
\(792\) −1.92716 + 13.0061i −0.0684785 + 0.462153i
\(793\) −73.8689 14.2371i −2.62316 0.505573i
\(794\) −5.29186 15.2898i −0.187801 0.542615i
\(795\) −5.29289 15.3999i −0.187719 0.546179i
\(796\) 11.1713 + 7.95507i 0.395957 + 0.281960i
\(797\) −7.06890 + 4.54290i −0.250393 + 0.160918i −0.659817 0.751426i \(-0.729366\pi\)
0.409424 + 0.912344i \(0.365730\pi\)
\(798\) 14.5311 + 21.3337i 0.514394 + 0.755206i
\(799\) 0.397827 + 2.76695i 0.0140741 + 0.0978877i
\(800\) −0.0887479 0.929410i −0.00313771 0.0328596i
\(801\) 0.467357 0.238400i 0.0165133 0.00842344i
\(802\) 2.65624 1.36939i 0.0937950 0.0483547i
\(803\) 8.68394 25.0906i 0.306450 0.885428i
\(804\) −8.35777 13.0667i −0.294756 0.460826i
\(805\) −21.9048 + 21.8059i −0.772041 + 0.768557i
\(806\) 0.516161i 0.0181810i
\(807\) −1.82053 + 0.437511i −0.0640857 + 0.0154011i
\(808\) −4.97503 9.65020i −0.175021 0.339493i
\(809\) −26.6220 + 33.8527i −0.935981 + 1.19020i 0.0455635 + 0.998961i \(0.485492\pi\)
−0.981544 + 0.191235i \(0.938751\pi\)
\(810\) 15.2647 15.7358i 0.536347 0.552898i
\(811\) 18.0190 2.59075i 0.632734 0.0909734i 0.181517 0.983388i \(-0.441899\pi\)
0.451217 + 0.892414i \(0.350990\pi\)
\(812\) −9.53233 + 5.87717i −0.334519 + 0.206248i
\(813\) 4.91242 10.6957i 0.172286 0.375116i
\(814\) 17.5625 24.6630i 0.615564 0.864439i
\(815\) −0.231579 + 0.954582i −0.00811186 + 0.0334375i
\(816\) 4.96266 6.28267i 0.173728 0.219938i
\(817\) 11.0338 57.2490i 0.386025 2.00289i
\(818\) 26.6154 7.81499i 0.930586 0.273245i
\(819\) 15.3418 + 47.8613i 0.536084 + 1.67241i
\(820\) 7.79270 5.00806i 0.272133 0.174889i
\(821\) −23.3704 + 5.66959i −0.815631 + 0.197870i −0.621811 0.783167i \(-0.713603\pi\)
−0.193820 + 0.981037i \(0.562088\pi\)
\(822\) −6.54974 34.3812i −0.228449 1.19918i
\(823\) 30.9185 + 43.4189i 1.07775 + 1.51349i 0.840325 + 0.542083i \(0.182364\pi\)
0.237426 + 0.971406i \(0.423696\pi\)
\(824\) −7.53296 + 3.01574i −0.262423 + 0.105058i
\(825\) 7.08731 + 0.0152479i 0.246748 + 0.000530863i
\(826\) −12.4994 22.6158i −0.434909 0.786906i
\(827\) 7.41923i 0.257992i −0.991645 0.128996i \(-0.958825\pi\)
0.991645 0.128996i \(-0.0411754\pi\)
\(828\) −7.33862 + 12.3752i −0.255035 + 0.430067i
\(829\) −12.3739 7.14410i −0.429765 0.248125i 0.269482 0.963006i \(-0.413148\pi\)
−0.699247 + 0.714881i \(0.746481\pi\)
\(830\) 3.74146 + 19.4125i 0.129868 + 0.673819i
\(831\) 28.8005 16.5455i 0.999080 0.573957i
\(832\) 6.26772 + 0.901162i 0.217294 + 0.0312422i
\(833\) −6.44745 31.7080i −0.223391 1.09862i
\(834\) 10.3371 8.91828i 0.357944 0.308815i
\(835\) 7.50485 + 30.9354i 0.259716 + 1.07056i
\(836\) 1.17464 + 24.6587i 0.0406257 + 0.852838i
\(837\) 0.0174227 + 0.423201i 0.000602216 + 0.0146280i
\(838\) −8.41504 + 8.82544i −0.290693 + 0.304870i
\(839\) −4.76133 + 5.49487i −0.164379 + 0.189704i −0.831963 0.554831i \(-0.812783\pi\)
0.667584 + 0.744535i \(0.267329\pi\)
\(840\) −10.4704 3.87010i −0.361262 0.133531i
\(841\) −10.6358 + 3.12295i −0.366752 + 0.107688i
\(842\) 20.9767 + 14.9374i 0.722905 + 0.514778i
\(843\) −15.4829 21.8420i −0.533260 0.752279i
\(844\) −3.51321 + 3.34984i −0.120930 + 0.115306i
\(845\) −51.8828 + 40.8011i −1.78482 + 1.40360i
\(846\) 1.37622 1.18217i 0.0473154 0.0406439i
\(847\) 3.71051 + 21.3975i 0.127495 + 0.735225i
\(848\) −2.08666 + 3.24690i −0.0716562 + 0.111499i
\(849\) 2.07027 + 8.61461i 0.0710514 + 0.295652i
\(850\) −3.73747 2.15783i −0.128194 0.0740129i
\(851\) 28.0028 17.7063i 0.959923 0.606964i
\(852\) −9.78946 5.07351i −0.335381 0.173815i
\(853\) 33.1490 28.7238i 1.13500 0.983482i 0.135026 0.990842i \(-0.456888\pi\)
0.999973 + 0.00735953i \(0.00234263\pi\)
\(854\) −8.29011 30.3195i −0.283682 1.03751i
\(855\) 22.4029 34.5319i 0.766162 1.18097i
\(856\) 5.48784 0.524025i 0.187570 0.0179108i
\(857\) 18.3383 + 7.34156i 0.626425 + 0.250783i 0.663084 0.748545i \(-0.269247\pi\)
−0.0366586 + 0.999328i \(0.511671\pi\)
\(858\) −11.4329 + 46.6886i −0.390314 + 1.59392i
\(859\) −7.96239 + 15.4449i −0.271673 + 0.526973i −0.984720 0.174143i \(-0.944284\pi\)
0.713047 + 0.701116i \(0.247315\pi\)
\(860\) 10.4740 + 22.9348i 0.357160 + 0.782070i
\(861\) −2.11990 17.2971i −0.0722461 0.589483i
\(862\) −0.875576 + 1.01047i −0.0298222 + 0.0344167i
\(863\) −0.847940 + 4.39953i −0.0288642 + 0.149762i −0.993501 0.113819i \(-0.963692\pi\)
0.964637 + 0.263581i \(0.0849036\pi\)
\(864\) −5.16933 0.527301i −0.175864 0.0179391i
\(865\) −36.1853 3.45527i −1.23034 0.117483i
\(866\) −31.2396 16.1051i −1.06156 0.547274i
\(867\) −2.11521 7.26151i −0.0718363 0.246614i
\(868\) 0.193506 0.0952225i 0.00656801 0.00323206i
\(869\) 51.3080 + 23.4316i 1.74051 + 0.794862i
\(870\) 14.5243 + 10.3899i 0.492421 + 0.352251i
\(871\) −25.9843 50.4025i −0.880445 1.70782i
\(872\) 2.88940 + 14.9916i 0.0978473 + 0.507680i
\(873\) 4.33244 + 47.5319i 0.146631 + 1.60871i
\(874\) −9.02303 + 25.4621i −0.305208 + 0.861270i
\(875\) 5.43995 25.6361i 0.183904 0.866657i
\(876\) 10.0615 + 2.97785i 0.339947 + 0.100612i
\(877\) −1.68000 + 35.2675i −0.0567295 + 1.19090i 0.773618 + 0.633652i \(0.218445\pi\)
−0.830347 + 0.557246i \(0.811858\pi\)
\(878\) 15.9887 + 12.5737i 0.539593 + 0.424341i
\(879\) −17.7331 + 44.0204i −0.598123 + 1.48477i
\(880\) −6.59939 8.39181i −0.222465 0.282888i
\(881\) −20.4698 6.01047i −0.689645 0.202498i −0.0819121 0.996640i \(-0.526103\pi\)
−0.607733 + 0.794142i \(0.707921\pi\)
\(882\) −15.1126 + 14.5811i −0.508869 + 0.490971i
\(883\) −3.49483 7.65262i −0.117610 0.257531i 0.841667 0.539997i \(-0.181575\pi\)
−0.959277 + 0.282466i \(0.908847\pi\)
\(884\) 20.1985 21.1836i 0.679350 0.712482i
\(885\) −25.5418 + 32.3357i −0.858579 + 1.08695i
\(886\) 2.12755 + 6.14715i 0.0714764 + 0.206518i
\(887\) 24.2298 + 23.1031i 0.813557 + 0.775725i 0.977543 0.210737i \(-0.0675865\pi\)
−0.163985 + 0.986463i \(0.552435\pi\)
\(888\) 10.0521 + 6.49070i 0.337327 + 0.217814i
\(889\) 1.58362 + 4.18059i 0.0531130 + 0.140213i
\(890\) −0.120018 + 0.408743i −0.00402301 + 0.0137011i
\(891\) 7.79794 38.6659i 0.261241 1.29536i
\(892\) 3.65628 2.60362i 0.122421 0.0871757i
\(893\) 2.10569 2.67761i 0.0704643 0.0896027i
\(894\) 24.5682 14.1141i 0.821685 0.472046i
\(895\) −26.0869 + 22.6044i −0.871990 + 0.755583i
\(896\) 0.818442 + 2.51598i 0.0273422 + 0.0840530i
\(897\) −30.9167 + 42.5536i −1.03228 + 1.42082i
\(898\) 3.97611 + 6.88682i 0.132684 + 0.229816i
\(899\) −0.338784 + 0.0652953i −0.0112991 + 0.00217772i
\(900\) 0.121233 + 2.79829i 0.00404111 + 0.0932763i
\(901\) 6.63071 + 16.5627i 0.220901 + 0.551784i
\(902\) 6.92350 15.1604i 0.230527 0.504785i
\(903\) 47.4225 + 0.988875i 1.57812 + 0.0329077i
\(904\) 6.75399 + 1.98315i 0.224634 + 0.0659586i
\(905\) −9.96308 + 19.3257i −0.331184 + 0.642407i
\(906\) 9.31262 4.77566i 0.309391 0.158661i
\(907\) −0.408483 + 1.68379i −0.0135635 + 0.0559094i −0.978191 0.207707i \(-0.933400\pi\)
0.964628 + 0.263616i \(0.0849152\pi\)
\(908\) −3.10921 0.599252i −0.103183 0.0198869i
\(909\) 13.4030 + 29.6859i 0.444551 + 0.984620i
\(910\) −36.7982 17.6440i −1.21985 0.584893i
\(911\) −35.8601 + 16.3767i −1.18810 + 0.542586i −0.908643 0.417574i \(-0.862881\pi\)
−0.279454 + 0.960159i \(0.590153\pi\)
\(912\) −9.71397 + 0.906486i −0.321662 + 0.0300168i
\(913\) 24.5462 + 25.7433i 0.812359 + 0.851978i
\(914\) −12.2268 + 30.5412i −0.404428 + 1.01021i
\(915\) −39.4671 + 30.9001i −1.30474 + 1.02153i
\(916\) 20.5950 + 2.96111i 0.680477 + 0.0978379i
\(917\) −32.3106 8.48116i −1.06699 0.280073i
\(918\) −15.8458 + 18.0503i −0.522988 + 0.595747i
\(919\) −3.06286 5.30504i −0.101035 0.174997i 0.811077 0.584940i \(-0.198882\pi\)
−0.912111 + 0.409943i \(0.865549\pi\)
\(920\) −3.20863 11.2329i −0.105785 0.370338i
\(921\) 1.36669 + 30.0506i 0.0450341 + 0.990199i
\(922\) 30.8281 + 10.6697i 1.01527 + 0.351388i
\(923\) −33.9109 21.7932i −1.11619 0.717332i
\(924\) −19.6124 + 4.32707i −0.645202 + 0.142350i
\(925\) 2.67937 5.86700i 0.0880971 0.192906i
\(926\) 20.7012 + 26.3237i 0.680284 + 0.865052i
\(927\) 23.0378 7.86262i 0.756661 0.258242i
\(928\) −0.201397 4.22784i −0.00661117 0.138786i
\(929\) 11.6549 16.3671i 0.382386 0.536986i −0.577862 0.816134i \(-0.696113\pi\)
0.960248 + 0.279149i \(0.0900523\pi\)
\(930\) −0.259430 0.225776i −0.00850704 0.00740350i
\(931\) −22.5422 + 32.3497i −0.738791 + 1.06022i
\(932\) 10.7657 + 9.32856i 0.352643 + 0.305567i
\(933\) −7.12377 + 36.5384i −0.233222 + 1.19621i
\(934\) 2.27289 23.8028i 0.0743713 0.778851i
\(935\) −49.2924 + 2.34809i −1.61203 + 0.0767906i
\(936\) −18.6376 3.67534i −0.609188 0.120132i
\(937\) 43.8385 6.30302i 1.43214 0.205911i 0.617817 0.786322i \(-0.288017\pi\)
0.814323 + 0.580412i \(0.197108\pi\)
\(938\) 14.1020 19.0397i 0.460446 0.621670i
\(939\) −4.97194 10.9493i −0.162253 0.357317i
\(940\) −0.0700936 + 1.47145i −0.00228620 + 0.0479933i
\(941\) −11.1351 + 2.14611i −0.362993 + 0.0699611i −0.367487 0.930029i \(-0.619782\pi\)
0.00449396 + 0.999990i \(0.498570\pi\)
\(942\) −7.16262 + 0.325754i −0.233371 + 0.0106137i
\(943\) 13.2914 12.4878i 0.432827 0.406657i
\(944\) 9.76664 0.317877
\(945\) 30.7665 + 13.2242i 1.00083 + 0.430185i
\(946\) 38.1627 + 24.5257i 1.24078 + 0.797398i
\(947\) 3.14504 + 7.85593i 0.102200 + 0.255283i 0.970651 0.240491i \(-0.0773085\pi\)
−0.868451 + 0.495775i \(0.834884\pi\)
\(948\) −8.32938 + 20.6767i −0.270526 + 0.671549i
\(949\) 35.6130 + 14.2573i 1.15605 + 0.462811i
\(950\) 1.23984 + 5.11069i 0.0402257 + 0.165813i
\(951\) 11.1197 24.2108i 0.360582 0.785089i
\(952\) 11.6679 + 3.66431i 0.378158 + 0.118761i
\(953\) −6.89901 23.4959i −0.223481 0.761106i −0.992539 0.121927i \(-0.961093\pi\)
0.769058 0.639179i \(-0.220726\pi\)
\(954\) 6.75689 9.40283i 0.218762 0.304428i
\(955\) 42.1399 14.5847i 1.36361 0.471951i
\(956\) −11.2287 2.72406i −0.363163 0.0881024i
\(957\) 32.0905 + 1.59786i 1.03734 + 0.0516516i
\(958\) −3.38393 5.26549i −0.109330 0.170120i
\(959\) 45.5082 28.0581i 1.46954 0.906044i
\(960\) 3.19453 2.75606i 0.103103 0.0889516i
\(961\) −30.8530 + 2.94611i −0.995259 + 0.0950357i
\(962\) 34.3856 + 27.0411i 1.10863 + 0.871840i
\(963\) −16.5229 + 0.715840i −0.532443 + 0.0230676i
\(964\) −15.4059 5.33204i −0.496191 0.171733i
\(965\) 48.8240 1.57170
\(966\) −21.6567 3.74010i −0.696792 0.120336i
\(967\) 43.5066 1.39908 0.699538 0.714595i \(-0.253389\pi\)
0.699538 + 0.714595i \(0.253389\pi\)
\(968\) −7.75673 2.68463i −0.249311 0.0862873i
\(969\) −22.6325 + 39.0066i −0.727060 + 1.25307i
\(970\) −30.4630 23.9564i −0.978109 0.769194i
\(971\) −17.7568 + 1.69557i −0.569842 + 0.0544133i −0.376000 0.926620i \(-0.622701\pi\)
−0.193842 + 0.981033i \(0.562095\pi\)
\(972\) 15.4050 + 2.38432i 0.494117 + 0.0764770i
\(973\) 18.3544 + 9.90101i 0.588414 + 0.317412i
\(974\) −5.89550 9.17357i −0.188904 0.293940i
\(975\) −0.509234 + 10.2271i −0.0163085 + 0.327530i
\(976\) 11.5455 + 2.80090i 0.369561 + 0.0896546i
\(977\) −0.504219 + 0.174512i −0.0161314 + 0.00558313i −0.335122 0.942175i \(-0.608777\pi\)
0.318990 + 0.947758i \(0.396656\pi\)
\(978\) −0.648970 + 0.258190i −0.0207518 + 0.00825599i
\(979\) 0.215938 + 0.735416i 0.00690140 + 0.0235040i
\(980\) −0.173986 17.0505i −0.00555779 0.544657i
\(981\) −6.32324 45.3640i −0.201886 1.44836i
\(982\) −3.08233 12.7056i −0.0983613 0.405451i
\(983\) 49.8637 + 19.9624i 1.59041 + 0.636703i 0.986998 0.160730i \(-0.0513848\pi\)
0.603408 + 0.797433i \(0.293809\pi\)
\(984\) 6.10951 + 2.46114i 0.194764 + 0.0784583i
\(985\) 8.69193 + 21.7114i 0.276948 + 0.691783i
\(986\) −16.4591 10.5776i −0.524165 0.336860i
\(987\) 2.43623 + 1.32097i 0.0775461 + 0.0420468i
\(988\) −35.6674 −1.13473
\(989\) 28.4956 + 40.6466i 0.906106 + 1.29249i
\(990\) 18.4654 + 26.1686i 0.586870 + 0.831694i
\(991\) 8.95716 1.72635i 0.284534 0.0548394i −0.0449875 0.998988i \(-0.514325\pi\)
0.329521 + 0.944148i \(0.393113\pi\)
\(992\) −0.00387859 + 0.0814217i −0.000123145 + 0.00258514i
\(993\) −1.32272 + 0.600630i −0.0419752 + 0.0190604i
\(994\) 1.91419 16.7335i 0.0607144 0.530753i
\(995\) 33.0667 4.75427i 1.04828 0.150721i
\(996\) −9.72252 + 10.1529i −0.308070 + 0.321706i
\(997\) 33.7273 1.60663i 1.06815 0.0508824i 0.493867 0.869537i \(-0.335583\pi\)
0.574286 + 0.818655i \(0.305280\pi\)
\(998\) −3.10260 + 32.4919i −0.0982111 + 1.02851i
\(999\) −29.1055 21.0104i −0.920858 0.664739i
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 966.2.bd.a.59.5 1280
3.2 odd 2 inner 966.2.bd.a.59.50 yes 1280
7.5 odd 6 inner 966.2.bd.a.887.39 yes 1280
21.5 even 6 inner 966.2.bd.a.887.8 yes 1280
23.16 even 11 inner 966.2.bd.a.269.8 yes 1280
69.62 odd 22 inner 966.2.bd.a.269.39 yes 1280
161.131 odd 66 inner 966.2.bd.a.131.50 yes 1280
483.131 even 66 inner 966.2.bd.a.131.5 yes 1280
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.bd.a.59.5 1280 1.1 even 1 trivial
966.2.bd.a.59.50 yes 1280 3.2 odd 2 inner
966.2.bd.a.131.5 yes 1280 483.131 even 66 inner
966.2.bd.a.131.50 yes 1280 161.131 odd 66 inner
966.2.bd.a.269.8 yes 1280 23.16 even 11 inner
966.2.bd.a.269.39 yes 1280 69.62 odd 22 inner
966.2.bd.a.887.8 yes 1280 21.5 even 6 inner
966.2.bd.a.887.39 yes 1280 7.5 odd 6 inner