Properties

Label 930.2.bn.b.19.1
Level $930$
Weight $2$
Character 930.19
Analytic conductor $7.426$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(19,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([0, 15, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bn (of order \(30\), degree \(8\), 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: \(144\)
Relative dimension: \(18\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 19.1
Character \(\chi\) \(=\) 930.19
Dual form 930.2.bn.b.49.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.587785 + 0.809017i) q^{2} +(-0.406737 + 0.913545i) q^{3} +(-0.309017 - 0.951057i) q^{4} +(-1.89205 - 1.19170i) q^{5} +(-0.500000 - 0.866025i) q^{6} +(-1.93366 - 1.74107i) q^{7} +(0.951057 + 0.309017i) q^{8} +(-0.669131 - 0.743145i) q^{9} +O(q^{10})\) \(q+(-0.587785 + 0.809017i) q^{2} +(-0.406737 + 0.913545i) q^{3} +(-0.309017 - 0.951057i) q^{4} +(-1.89205 - 1.19170i) q^{5} +(-0.500000 - 0.866025i) q^{6} +(-1.93366 - 1.74107i) q^{7} +(0.951057 + 0.309017i) q^{8} +(-0.669131 - 0.743145i) q^{9} +(2.07622 - 0.830237i) q^{10} +(0.677493 + 0.144006i) q^{11} +(0.994522 + 0.104528i) q^{12} +(1.38792 - 0.145877i) q^{13} +(2.54513 - 0.540984i) q^{14} +(1.85824 - 1.24377i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(1.17916 + 5.54750i) q^{17} +(0.994522 - 0.104528i) q^{18} +(0.475813 - 4.52706i) q^{19} +(-0.548698 + 2.16770i) q^{20} +(2.37704 - 1.05833i) q^{21} +(-0.514724 + 0.463459i) q^{22} +(-5.65227 - 1.83653i) q^{23} +(-0.669131 + 0.743145i) q^{24} +(2.15970 + 4.50951i) q^{25} +(-0.697784 + 1.20860i) q^{26} +(0.951057 - 0.309017i) q^{27} +(-1.05833 + 2.37704i) q^{28} +(7.10863 + 5.16472i) q^{29} +(-0.0860174 + 2.23441i) q^{30} +(2.99954 + 4.69071i) q^{31} -1.00000i q^{32} +(-0.407117 + 0.560349i) q^{33} +(-5.18112 - 2.30678i) q^{34} +(1.58374 + 5.59853i) q^{35} +(-0.500000 + 0.866025i) q^{36} +(-9.50405 + 5.48717i) q^{37} +(3.38279 + 3.04588i) q^{38} +(-0.431254 + 1.32726i) q^{39} +(-1.43119 - 1.71805i) q^{40} +(-5.05596 + 2.25106i) q^{41} +(-0.540984 + 2.54513i) q^{42} +(8.62869 + 0.906912i) q^{43} +(-0.0723994 - 0.688835i) q^{44} +(0.380423 + 2.20347i) q^{45} +(4.80811 - 3.49329i) q^{46} +(7.65033 + 10.5298i) q^{47} +(-0.207912 - 0.978148i) q^{48} +(-0.0240043 - 0.228386i) q^{49} +(-4.91771 - 0.903387i) q^{50} +(-5.54750 - 1.17916i) q^{51} +(-0.567628 - 1.27491i) q^{52} +(-0.438422 + 0.394757i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(-1.11024 - 1.07983i) q^{55} +(-1.30100 - 2.25339i) q^{56} +(3.94214 + 2.27600i) q^{57} +(-8.35669 + 2.71525i) q^{58} +(2.32422 + 1.03481i) q^{59} +(-1.75712 - 1.38294i) q^{60} -14.2000 q^{61} +(-5.55795 - 0.330452i) q^{62} +2.60199i q^{63} +(0.809017 + 0.587785i) q^{64} +(-2.79986 - 1.37798i) q^{65} +(-0.214034 - 0.658729i) q^{66} +(3.18752 + 1.84032i) q^{67} +(4.91161 - 2.83572i) q^{68} +(3.97674 - 4.41662i) q^{69} +(-5.46021 - 2.00946i) q^{70} +(5.85946 + 6.50759i) q^{71} +(-0.406737 - 0.913545i) q^{72} +(3.16453 - 14.8879i) q^{73} +(1.14713 - 10.9142i) q^{74} +(-4.99807 + 0.138804i) q^{75} +(-4.45252 + 0.946413i) q^{76} +(-1.05931 - 1.45802i) q^{77} +(-0.820294 - 1.12904i) q^{78} +(-0.621428 + 0.132089i) q^{79} +(2.23116 - 0.148014i) q^{80} +(-0.104528 + 0.994522i) q^{81} +(1.15067 - 5.41350i) q^{82} +(3.52397 + 7.91496i) q^{83} +(-1.74107 - 1.93366i) q^{84} +(4.37993 - 11.9014i) q^{85} +(-5.80553 + 6.44769i) q^{86} +(-7.60954 + 4.39337i) q^{87} +(0.599834 + 0.346314i) q^{88} +(1.81833 + 5.59625i) q^{89} +(-2.00625 - 0.987398i) q^{90} +(-2.93775 - 2.13440i) q^{91} +5.94315i q^{92} +(-5.50520 + 0.832332i) q^{93} -13.0155 q^{94} +(-6.29516 + 7.99839i) q^{95} +(0.913545 + 0.406737i) q^{96} +(13.6733 - 4.44273i) q^{97} +(0.198877 + 0.114822i) q^{98} +(-0.346314 - 0.599834i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q + 36 q^{4} + 2 q^{5} - 72 q^{6} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q + 36 q^{4} + 2 q^{5} - 72 q^{6} - 18 q^{9} - 18 q^{11} - 8 q^{14} - 36 q^{16} - 24 q^{19} - 2 q^{20} + 28 q^{21} - 18 q^{24} + 10 q^{25} - 12 q^{26} - 4 q^{30} - 4 q^{31} + 10 q^{34} - 2 q^{35} - 72 q^{36} + 16 q^{39} + 4 q^{41} - 2 q^{44} - 2 q^{45} - 2 q^{46} - 78 q^{49} + 32 q^{50} + 10 q^{51} + 36 q^{54} - 50 q^{55} - 12 q^{56} + 28 q^{59} + 88 q^{61} + 36 q^{64} - 124 q^{65} + 6 q^{66} - 46 q^{69} - 10 q^{70} + 140 q^{71} + 34 q^{74} - 32 q^{75} + 24 q^{76} + 16 q^{79} + 12 q^{80} + 18 q^{81} - 8 q^{84} + 74 q^{85} - 98 q^{86} + 148 q^{89} + 44 q^{91} - 108 q^{94} - 80 q^{95} + 18 q^{96} - 2 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{2}{15}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.587785 + 0.809017i −0.415627 + 0.572061i
\(3\) −0.406737 + 0.913545i −0.234830 + 0.527436i
\(4\) −0.309017 0.951057i −0.154508 0.475528i
\(5\) −1.89205 1.19170i −0.846150 0.532944i
\(6\) −0.500000 0.866025i −0.204124 0.353553i
\(7\) −1.93366 1.74107i −0.730853 0.658063i 0.217217 0.976123i \(-0.430302\pi\)
−0.948071 + 0.318060i \(0.896969\pi\)
\(8\) 0.951057 + 0.309017i 0.336249 + 0.109254i
\(9\) −0.669131 0.743145i −0.223044 0.247715i
\(10\) 2.07622 0.830237i 0.656560 0.262544i
\(11\) 0.677493 + 0.144006i 0.204272 + 0.0434193i 0.308911 0.951091i \(-0.400035\pi\)
−0.104639 + 0.994510i \(0.533369\pi\)
\(12\) 0.994522 + 0.104528i 0.287094 + 0.0301748i
\(13\) 1.38792 0.145877i 0.384940 0.0404589i 0.0899179 0.995949i \(-0.471340\pi\)
0.295022 + 0.955490i \(0.404673\pi\)
\(14\) 2.54513 0.540984i 0.680215 0.144584i
\(15\) 1.85824 1.24377i 0.479795 0.321139i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) 1.17916 + 5.54750i 0.285988 + 1.34547i 0.853066 + 0.521803i \(0.174740\pi\)
−0.567078 + 0.823664i \(0.691926\pi\)
\(18\) 0.994522 0.104528i 0.234411 0.0246376i
\(19\) 0.475813 4.52706i 0.109159 1.03858i −0.793602 0.608437i \(-0.791797\pi\)
0.902761 0.430142i \(-0.141536\pi\)
\(20\) −0.548698 + 2.16770i −0.122693 + 0.484713i
\(21\) 2.37704 1.05833i 0.518712 0.230945i
\(22\) −0.514724 + 0.463459i −0.109739 + 0.0988098i
\(23\) −5.65227 1.83653i −1.17858 0.382944i −0.346741 0.937961i \(-0.612712\pi\)
−0.831839 + 0.555017i \(0.812712\pi\)
\(24\) −0.669131 + 0.743145i −0.136586 + 0.151694i
\(25\) 2.15970 + 4.50951i 0.431941 + 0.901902i
\(26\) −0.697784 + 1.20860i −0.136847 + 0.237025i
\(27\) 0.951057 0.309017i 0.183031 0.0594703i
\(28\) −1.05833 + 2.37704i −0.200005 + 0.449218i
\(29\) 7.10863 + 5.16472i 1.32004 + 0.959064i 0.999932 + 0.0116827i \(0.00371879\pi\)
0.320107 + 0.947381i \(0.396281\pi\)
\(30\) −0.0860174 + 2.23441i −0.0157046 + 0.407946i
\(31\) 2.99954 + 4.69071i 0.538733 + 0.842476i
\(32\) 1.00000i 0.176777i
\(33\) −0.407117 + 0.560349i −0.0708700 + 0.0975442i
\(34\) −5.18112 2.30678i −0.888554 0.395610i
\(35\) 1.58374 + 5.59853i 0.267701 + 0.946325i
\(36\) −0.500000 + 0.866025i −0.0833333 + 0.144338i
\(37\) −9.50405 + 5.48717i −1.56246 + 0.902085i −0.565448 + 0.824784i \(0.691297\pi\)
−0.997008 + 0.0773010i \(0.975370\pi\)
\(38\) 3.38279 + 3.04588i 0.548761 + 0.494107i
\(39\) −0.431254 + 1.32726i −0.0690559 + 0.212532i
\(40\) −1.43119 1.71805i −0.226291 0.271647i
\(41\) −5.05596 + 2.25106i −0.789608 + 0.351556i −0.761597 0.648051i \(-0.775584\pi\)
−0.0280116 + 0.999608i \(0.508918\pi\)
\(42\) −0.540984 + 2.54513i −0.0834757 + 0.392722i
\(43\) 8.62869 + 0.906912i 1.31586 + 0.138303i 0.736317 0.676636i \(-0.236563\pi\)
0.579546 + 0.814939i \(0.303230\pi\)
\(44\) −0.0723994 0.688835i −0.0109146 0.103846i
\(45\) 0.380423 + 2.20347i 0.0567101 + 0.328474i
\(46\) 4.80811 3.49329i 0.708917 0.515058i
\(47\) 7.65033 + 10.5298i 1.11592 + 1.53593i 0.812400 + 0.583100i \(0.198160\pi\)
0.303515 + 0.952827i \(0.401840\pi\)
\(48\) −0.207912 0.978148i −0.0300095 0.141183i
\(49\) −0.0240043 0.228386i −0.00342919 0.0326265i
\(50\) −4.91771 0.903387i −0.695470 0.127758i
\(51\) −5.54750 1.17916i −0.776806 0.165115i
\(52\) −0.567628 1.27491i −0.0787159 0.176799i
\(53\) −0.438422 + 0.394757i −0.0602219 + 0.0542240i −0.698692 0.715423i \(-0.746234\pi\)
0.638470 + 0.769647i \(0.279568\pi\)
\(54\) −0.309017 + 0.951057i −0.0420519 + 0.129422i
\(55\) −1.11024 1.07983i −0.149705 0.145605i
\(56\) −1.30100 2.25339i −0.173853 0.301122i
\(57\) 3.94214 + 2.27600i 0.522150 + 0.301463i
\(58\) −8.35669 + 2.71525i −1.09729 + 0.356530i
\(59\) 2.32422 + 1.03481i 0.302588 + 0.134721i 0.552414 0.833570i \(-0.313707\pi\)
−0.249826 + 0.968291i \(0.580373\pi\)
\(60\) −1.75712 1.38294i −0.226843 0.178537i
\(61\) −14.2000 −1.81812 −0.909061 0.416664i \(-0.863199\pi\)
−0.909061 + 0.416664i \(0.863199\pi\)
\(62\) −5.55795 0.330452i −0.705860 0.0419674i
\(63\) 2.60199i 0.327820i
\(64\) 0.809017 + 0.587785i 0.101127 + 0.0734732i
\(65\) −2.79986 1.37798i −0.347280 0.170918i
\(66\) −0.214034 0.658729i −0.0263458 0.0810840i
\(67\) 3.18752 + 1.84032i 0.389417 + 0.224830i 0.681908 0.731438i \(-0.261151\pi\)
−0.292490 + 0.956269i \(0.594484\pi\)
\(68\) 4.91161 2.83572i 0.595620 0.343881i
\(69\) 3.97674 4.41662i 0.478743 0.531698i
\(70\) −5.46021 2.00946i −0.652619 0.240177i
\(71\) 5.85946 + 6.50759i 0.695391 + 0.772309i 0.982635 0.185548i \(-0.0594060\pi\)
−0.287245 + 0.957857i \(0.592739\pi\)
\(72\) −0.406737 0.913545i −0.0479344 0.107662i
\(73\) 3.16453 14.8879i 0.370380 1.74250i −0.259439 0.965759i \(-0.583538\pi\)
0.629819 0.776742i \(-0.283129\pi\)
\(74\) 1.14713 10.9142i 0.133351 1.26875i
\(75\) −4.99807 + 0.138804i −0.577128 + 0.0160278i
\(76\) −4.45252 + 0.946413i −0.510739 + 0.108561i
\(77\) −1.05931 1.45802i −0.120720 0.166157i
\(78\) −0.820294 1.12904i −0.0928800 0.127838i
\(79\) −0.621428 + 0.132089i −0.0699161 + 0.0148611i −0.242737 0.970092i \(-0.578045\pi\)
0.172821 + 0.984953i \(0.444712\pi\)
\(80\) 2.23116 0.148014i 0.249452 0.0165484i
\(81\) −0.104528 + 0.994522i −0.0116143 + 0.110502i
\(82\) 1.15067 5.41350i 0.127071 0.597821i
\(83\) 3.52397 + 7.91496i 0.386806 + 0.868780i 0.997064 + 0.0765771i \(0.0243991\pi\)
−0.610258 + 0.792203i \(0.708934\pi\)
\(84\) −1.74107 1.93366i −0.189966 0.210979i
\(85\) 4.37993 11.9014i 0.475070 1.29088i
\(86\) −5.80553 + 6.44769i −0.626026 + 0.695272i
\(87\) −7.60954 + 4.39337i −0.815829 + 0.471019i
\(88\) 0.599834 + 0.346314i 0.0639425 + 0.0369172i
\(89\) 1.81833 + 5.59625i 0.192743 + 0.593201i 0.999996 + 0.00299516i \(0.000953389\pi\)
−0.807253 + 0.590206i \(0.799047\pi\)
\(90\) −2.00625 0.987398i −0.211477 0.104081i
\(91\) −2.93775 2.13440i −0.307959 0.223746i
\(92\) 5.94315i 0.619616i
\(93\) −5.50520 + 0.832332i −0.570863 + 0.0863088i
\(94\) −13.0155 −1.34245
\(95\) −6.29516 + 7.99839i −0.645869 + 0.820618i
\(96\) 0.913545 + 0.406737i 0.0932383 + 0.0415124i
\(97\) 13.6733 4.44273i 1.38832 0.451091i 0.482922 0.875663i \(-0.339575\pi\)
0.905394 + 0.424572i \(0.139575\pi\)
\(98\) 0.198877 + 0.114822i 0.0200896 + 0.0115988i
\(99\) −0.346314 0.599834i −0.0348059 0.0602856i
\(100\) 3.62141 3.44752i 0.362141 0.344752i
\(101\) −5.48325 + 16.8757i −0.545603 + 1.67919i 0.173947 + 0.984755i \(0.444348\pi\)
−0.719551 + 0.694440i \(0.755652\pi\)
\(102\) 4.21470 3.79493i 0.417317 0.375754i
\(103\) 4.72799 + 10.6192i 0.465863 + 1.04635i 0.981834 + 0.189739i \(0.0607643\pi\)
−0.515972 + 0.856606i \(0.672569\pi\)
\(104\) 1.36507 + 0.290155i 0.133856 + 0.0284520i
\(105\) −5.75868 0.830311i −0.561989 0.0810300i
\(106\) −0.0616671 0.586723i −0.00598964 0.0569876i
\(107\) −2.82035 13.2687i −0.272653 1.28273i −0.874854 0.484387i \(-0.839043\pi\)
0.602200 0.798345i \(-0.294291\pi\)
\(108\) −0.587785 0.809017i −0.0565597 0.0778477i
\(109\) −6.75156 + 4.90529i −0.646682 + 0.469842i −0.862139 0.506671i \(-0.830876\pi\)
0.215457 + 0.976513i \(0.430876\pi\)
\(110\) 1.52619 0.263492i 0.145516 0.0251230i
\(111\) −1.14713 10.9142i −0.108881 1.03593i
\(112\) 2.58774 + 0.271982i 0.244518 + 0.0256999i
\(113\) −1.16832 + 5.49651i −0.109906 + 0.517068i 0.888409 + 0.459052i \(0.151811\pi\)
−0.998316 + 0.0580161i \(0.981523\pi\)
\(114\) −4.15845 + 1.85146i −0.389475 + 0.173405i
\(115\) 8.50578 + 10.2106i 0.793168 + 0.952145i
\(116\) 2.71525 8.35669i 0.252105 0.775899i
\(117\) −1.03711 0.933817i −0.0958807 0.0863314i
\(118\) −2.20332 + 1.27209i −0.202832 + 0.117105i
\(119\) 7.37851 12.7800i 0.676387 1.17154i
\(120\) 2.15163 0.608664i 0.196416 0.0555632i
\(121\) −9.61074 4.27898i −0.873704 0.388998i
\(122\) 8.34654 11.4880i 0.755660 1.04008i
\(123\) 5.53444i 0.499023i
\(124\) 3.53422 4.30224i 0.317382 0.386353i
\(125\) 1.28772 11.1059i 0.115177 0.993345i
\(126\) −2.10505 1.52941i −0.187533 0.136251i
\(127\) 0.964409 2.16610i 0.0855775 0.192210i −0.865688 0.500585i \(-0.833118\pi\)
0.951265 + 0.308375i \(0.0997850\pi\)
\(128\) −0.951057 + 0.309017i −0.0840623 + 0.0273135i
\(129\) −4.33811 + 7.51383i −0.381949 + 0.661556i
\(130\) 2.76053 1.45518i 0.242114 0.127627i
\(131\) −1.13736 + 1.26317i −0.0993719 + 0.110364i −0.790779 0.612102i \(-0.790324\pi\)
0.691407 + 0.722465i \(0.256991\pi\)
\(132\) 0.658729 + 0.214034i 0.0573350 + 0.0186293i
\(133\) −8.80199 + 7.92535i −0.763229 + 0.687215i
\(134\) −3.36242 + 1.49705i −0.290469 + 0.129325i
\(135\) −2.16770 0.548698i −0.186566 0.0472244i
\(136\) −0.592827 + 5.64037i −0.0508345 + 0.483658i
\(137\) −5.24656 + 0.551436i −0.448244 + 0.0471123i −0.325962 0.945383i \(-0.605688\pi\)
−0.122282 + 0.992495i \(0.539021\pi\)
\(138\) 1.23565 + 5.81328i 0.105185 + 0.494859i
\(139\) 10.6674 7.75028i 0.904793 0.657371i −0.0348997 0.999391i \(-0.511111\pi\)
0.939693 + 0.342020i \(0.111111\pi\)
\(140\) 4.83512 3.23627i 0.408642 0.273514i
\(141\) −12.7311 + 2.70608i −1.07215 + 0.227893i
\(142\) −8.70886 + 0.915338i −0.730831 + 0.0768135i
\(143\) 0.961315 + 0.101038i 0.0803892 + 0.00844925i
\(144\) 0.978148 + 0.207912i 0.0815123 + 0.0173260i
\(145\) −7.29508 18.2433i −0.605823 1.51502i
\(146\) 10.1845 + 11.3111i 0.842878 + 0.936111i
\(147\) 0.218404 + 0.0709638i 0.0180137 + 0.00585300i
\(148\) 8.15552 + 7.34326i 0.670379 + 0.603612i
\(149\) 10.7596 + 18.6361i 0.881457 + 1.52673i 0.849721 + 0.527233i \(0.176770\pi\)
0.0317365 + 0.999496i \(0.489896\pi\)
\(150\) 2.82550 4.12511i 0.230701 0.336814i
\(151\) 4.17956 + 12.8634i 0.340128 + 1.04681i 0.964141 + 0.265392i \(0.0855015\pi\)
−0.624012 + 0.781414i \(0.714499\pi\)
\(152\) 1.85146 4.15845i 0.150173 0.337295i
\(153\) 3.33359 4.58829i 0.269505 0.370941i
\(154\) 1.80221 0.145227
\(155\) −0.0853604 12.4496i −0.00685631 0.999976i
\(156\) 1.39557 0.111735
\(157\) −0.194160 + 0.267239i −0.0154957 + 0.0213280i −0.816695 0.577070i \(-0.804196\pi\)
0.801199 + 0.598398i \(0.204196\pi\)
\(158\) 0.258404 0.580385i 0.0205575 0.0461730i
\(159\) −0.182306 0.561080i −0.0144578 0.0444966i
\(160\) −1.19170 + 1.89205i −0.0942121 + 0.149580i
\(161\) 7.73201 + 13.3922i 0.609368 + 1.05546i
\(162\) −0.743145 0.669131i −0.0583870 0.0525719i
\(163\) 22.1159 + 7.18589i 1.73225 + 0.562843i 0.993772 0.111433i \(-0.0355440\pi\)
0.738480 + 0.674276i \(0.235544\pi\)
\(164\) 3.70326 + 4.11289i 0.289176 + 0.321163i
\(165\) 1.43805 0.575046i 0.111952 0.0447673i
\(166\) −8.47467 1.80135i −0.657762 0.139812i
\(167\) −10.9750 1.15352i −0.849274 0.0892623i −0.330116 0.943940i \(-0.607088\pi\)
−0.519158 + 0.854678i \(0.673755\pi\)
\(168\) 2.58774 0.271982i 0.199648 0.0209839i
\(169\) −10.8109 + 2.29792i −0.831605 + 0.176763i
\(170\) 7.05394 + 10.5389i 0.541012 + 0.808295i
\(171\) −3.68264 + 2.67559i −0.281619 + 0.204608i
\(172\) −1.80389 8.48663i −0.137545 0.647099i
\(173\) 3.67505 0.386263i 0.279409 0.0293670i 0.0362124 0.999344i \(-0.488471\pi\)
0.243196 + 0.969977i \(0.421804\pi\)
\(174\) 0.918465 8.73861i 0.0696286 0.662472i
\(175\) 3.67526 12.4800i 0.277823 0.943402i
\(176\) −0.632748 + 0.281718i −0.0476952 + 0.0212353i
\(177\) −1.89069 + 1.70239i −0.142113 + 0.127959i
\(178\) −5.59625 1.81833i −0.419456 0.136290i
\(179\) 13.0109 14.4501i 0.972482 1.08005i −0.0242851 0.999705i \(-0.507731\pi\)
0.996767 0.0803456i \(-0.0256024\pi\)
\(180\) 1.97807 1.04271i 0.147436 0.0777193i
\(181\) 2.33850 4.05039i 0.173819 0.301063i −0.765933 0.642920i \(-0.777723\pi\)
0.939752 + 0.341857i \(0.111056\pi\)
\(182\) 3.45353 1.12212i 0.255993 0.0831770i
\(183\) 5.77565 12.9723i 0.426949 0.958942i
\(184\) −4.80811 3.49329i −0.354458 0.257529i
\(185\) 24.5212 + 0.943984i 1.80283 + 0.0694031i
\(186\) 2.56250 4.94303i 0.187892 0.362441i
\(187\) 3.92820i 0.287258i
\(188\) 7.65033 10.5298i 0.557958 0.767963i
\(189\) −2.37704 1.05833i −0.172904 0.0769818i
\(190\) −2.77064 9.79422i −0.201003 0.710548i
\(191\) −3.10023 + 5.36975i −0.224325 + 0.388542i −0.956117 0.292986i \(-0.905351\pi\)
0.731792 + 0.681528i \(0.238684\pi\)
\(192\) −0.866025 + 0.500000i −0.0625000 + 0.0360844i
\(193\) 14.2428 + 12.8243i 1.02522 + 0.923111i 0.997070 0.0764928i \(-0.0243722\pi\)
0.0281484 + 0.999604i \(0.491039\pi\)
\(194\) −4.44273 + 13.6733i −0.318970 + 0.981688i
\(195\) 2.39765 1.99732i 0.171700 0.143031i
\(196\) −0.209790 + 0.0934045i −0.0149850 + 0.00667175i
\(197\) −1.63308 + 7.68304i −0.116352 + 0.547394i 0.880899 + 0.473304i \(0.156939\pi\)
−0.997252 + 0.0740904i \(0.976395\pi\)
\(198\) 0.688835 + 0.0723994i 0.0489533 + 0.00514520i
\(199\) −2.54615 24.2250i −0.180492 1.71727i −0.592066 0.805889i \(-0.701688\pi\)
0.411574 0.911376i \(-0.364979\pi\)
\(200\) 0.660485 + 4.95618i 0.0467033 + 0.350455i
\(201\) −2.97769 + 2.16342i −0.210030 + 0.152596i
\(202\) −10.4298 14.3553i −0.733835 1.01004i
\(203\) −4.75349 22.3634i −0.333630 1.56960i
\(204\) 0.592827 + 5.64037i 0.0415062 + 0.394905i
\(205\) 12.2487 + 1.76607i 0.855487 + 0.123348i
\(206\) −11.3702 2.41681i −0.792199 0.168387i
\(207\) 2.41730 + 5.42934i 0.168014 + 0.377365i
\(208\) −1.03711 + 0.933817i −0.0719106 + 0.0647486i
\(209\) 0.974282 2.99853i 0.0673925 0.207413i
\(210\) 4.05660 4.17082i 0.279932 0.287814i
\(211\) 1.75156 + 3.03380i 0.120583 + 0.208855i 0.919998 0.391924i \(-0.128190\pi\)
−0.799415 + 0.600779i \(0.794857\pi\)
\(212\) 0.510916 + 0.294977i 0.0350898 + 0.0202591i
\(213\) −8.32824 + 2.70601i −0.570642 + 0.185413i
\(214\) 12.3923 + 5.51743i 0.847124 + 0.377164i
\(215\) −15.2452 11.9987i −1.03971 0.818307i
\(216\) 1.00000 0.0680414
\(217\) 2.36678 14.2926i 0.160668 0.970247i
\(218\) 8.34539i 0.565221i
\(219\) 12.3137 + 8.94641i 0.832081 + 0.604542i
\(220\) −0.683901 + 1.38959i −0.0461086 + 0.0936860i
\(221\) 2.44583 + 7.52749i 0.164524 + 0.506354i
\(222\) 9.50405 + 5.48717i 0.637870 + 0.368274i
\(223\) −5.68109 + 3.27998i −0.380434 + 0.219644i −0.678007 0.735055i \(-0.737156\pi\)
0.297573 + 0.954699i \(0.403823\pi\)
\(224\) −1.74107 + 1.93366i −0.116330 + 0.129198i
\(225\) 1.90610 4.62242i 0.127073 0.308162i
\(226\) −3.76005 4.17596i −0.250115 0.277780i
\(227\) 4.75874 + 10.6883i 0.315848 + 0.709407i 0.999798 0.0201227i \(-0.00640568\pi\)
−0.683949 + 0.729530i \(0.739739\pi\)
\(228\) 0.946413 4.45252i 0.0626777 0.294875i
\(229\) −1.08173 + 10.2919i −0.0714826 + 0.680111i 0.898837 + 0.438284i \(0.144413\pi\)
−0.970319 + 0.241827i \(0.922253\pi\)
\(230\) −13.2601 + 0.879666i −0.874347 + 0.0580035i
\(231\) 1.76283 0.374701i 0.115986 0.0246535i
\(232\) 5.16472 + 7.10863i 0.339080 + 0.466704i
\(233\) −14.2912 19.6702i −0.936250 1.28864i −0.957371 0.288860i \(-0.906724\pi\)
0.0211217 0.999777i \(-0.493276\pi\)
\(234\) 1.36507 0.290155i 0.0892375 0.0189680i
\(235\) −1.92647 29.0398i −0.125669 1.89435i
\(236\) 0.265939 2.53024i 0.0173111 0.164704i
\(237\) 0.132089 0.621428i 0.00858008 0.0403661i
\(238\) 6.00222 + 13.4812i 0.389066 + 0.873857i
\(239\) −8.45251 9.38746i −0.546747 0.607224i 0.404921 0.914352i \(-0.367299\pi\)
−0.951668 + 0.307127i \(0.900632\pi\)
\(240\) −0.772279 + 2.09847i −0.0498504 + 0.135456i
\(241\) −7.25726 + 8.06001i −0.467481 + 0.519191i −0.930070 0.367382i \(-0.880254\pi\)
0.462589 + 0.886573i \(0.346921\pi\)
\(242\) 9.11082 5.26013i 0.585665 0.338134i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) 4.38804 + 13.5050i 0.280915 + 0.864568i
\(245\) −0.226750 + 0.460723i −0.0144865 + 0.0294345i
\(246\) 4.47745 + 3.25306i 0.285472 + 0.207408i
\(247\) 6.35262i 0.404207i
\(248\) 1.40322 + 5.38804i 0.0891047 + 0.342141i
\(249\) −8.66400 −0.549059
\(250\) 8.22799 + 7.56969i 0.520384 + 0.478749i
\(251\) 2.80602 + 1.24932i 0.177114 + 0.0788564i 0.493378 0.869815i \(-0.335762\pi\)
−0.316264 + 0.948671i \(0.602429\pi\)
\(252\) 2.47464 0.804059i 0.155888 0.0506510i
\(253\) −3.56490 2.05820i −0.224124 0.129398i
\(254\) 1.18554 + 2.05342i 0.0743877 + 0.128843i
\(255\) 9.09095 + 8.84198i 0.569297 + 0.553706i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) 10.8164 9.73909i 0.674706 0.607508i −0.258860 0.965915i \(-0.583347\pi\)
0.933565 + 0.358407i \(0.116680\pi\)
\(258\) −3.52894 7.92612i −0.219702 0.493459i
\(259\) 27.9311 + 5.93694i 1.73555 + 0.368904i
\(260\) −0.445334 + 3.08864i −0.0276184 + 0.191550i
\(261\) −0.918465 8.73861i −0.0568515 0.540906i
\(262\) −0.353400 1.66262i −0.0218332 0.102717i
\(263\) −9.81265 13.5060i −0.605074 0.832813i 0.391087 0.920354i \(-0.372099\pi\)
−0.996161 + 0.0875407i \(0.972099\pi\)
\(264\) −0.560349 + 0.407117i −0.0344871 + 0.0250563i
\(265\) 1.29995 0.224432i 0.0798551 0.0137868i
\(266\) −1.23806 11.7794i −0.0759104 0.722239i
\(267\) −5.85201 0.615071i −0.358137 0.0376417i
\(268\) 0.765246 3.60020i 0.0467448 0.219917i
\(269\) 16.7172 7.44297i 1.01927 0.453806i 0.172068 0.985085i \(-0.444955\pi\)
0.847197 + 0.531279i \(0.178288\pi\)
\(270\) 1.71805 1.43119i 0.104557 0.0870995i
\(271\) −1.63959 + 5.04614i −0.0995980 + 0.306531i −0.988425 0.151712i \(-0.951521\pi\)
0.888827 + 0.458244i \(0.151521\pi\)
\(272\) −4.21470 3.79493i −0.255554 0.230102i
\(273\) 3.14476 1.81563i 0.190329 0.109887i
\(274\) 2.63773 4.56868i 0.159351 0.276004i
\(275\) 0.813790 + 3.36617i 0.0490734 + 0.202988i
\(276\) −5.42934 2.41730i −0.326808 0.145504i
\(277\) 5.93198 8.16467i 0.356418 0.490568i −0.592728 0.805403i \(-0.701949\pi\)
0.949146 + 0.314835i \(0.101949\pi\)
\(278\) 13.1856i 0.790818i
\(279\) 1.47879 5.36779i 0.0885330 0.321361i
\(280\) −0.223816 + 5.81392i −0.0133756 + 0.347448i
\(281\) −11.3985 8.28147i −0.679976 0.494031i 0.193374 0.981125i \(-0.438057\pi\)
−0.873350 + 0.487094i \(0.838057\pi\)
\(282\) 5.29389 11.8903i 0.315247 0.708056i
\(283\) 8.74348 2.84093i 0.519746 0.168876i −0.0373842 0.999301i \(-0.511903\pi\)
0.557130 + 0.830425i \(0.311903\pi\)
\(284\) 4.37842 7.58364i 0.259811 0.450006i
\(285\) −4.74642 9.00415i −0.281154 0.533360i
\(286\) −0.646789 + 0.718332i −0.0382454 + 0.0424758i
\(287\) 13.6957 + 4.45002i 0.808434 + 0.262676i
\(288\) −0.743145 + 0.669131i −0.0437902 + 0.0394289i
\(289\) −13.8541 + 6.16824i −0.814947 + 0.362838i
\(290\) 19.0470 + 4.82127i 1.11848 + 0.283115i
\(291\) −1.50280 + 14.2982i −0.0880960 + 0.838177i
\(292\) −15.1372 + 1.59098i −0.885835 + 0.0931051i
\(293\) 3.39212 + 15.9587i 0.198170 + 0.932316i 0.959009 + 0.283375i \(0.0914542\pi\)
−0.760839 + 0.648940i \(0.775212\pi\)
\(294\) −0.185786 + 0.134981i −0.0108352 + 0.00787227i
\(295\) −3.16436 4.72768i −0.184236 0.275256i
\(296\) −10.7345 + 2.28169i −0.623931 + 0.132621i
\(297\) 0.688835 0.0723994i 0.0399702 0.00420104i
\(298\) −21.4012 2.24936i −1.23974 0.130302i
\(299\) −8.11282 1.72443i −0.469176 0.0997265i
\(300\) 1.67650 + 4.71056i 0.0967928 + 0.271964i
\(301\) −15.1059 16.7768i −0.870691 0.967001i
\(302\) −12.8634 4.17956i −0.740204 0.240507i
\(303\) −13.1865 11.8732i −0.757544 0.682095i
\(304\) 2.27600 + 3.94214i 0.130537 + 0.226097i
\(305\) 26.8671 + 16.9221i 1.53840 + 0.968957i
\(306\) 1.75257 + 5.39386i 0.100188 + 0.308346i
\(307\) −13.4111 + 30.1219i −0.765415 + 1.71915i −0.0733582 + 0.997306i \(0.523372\pi\)
−0.692056 + 0.721844i \(0.743295\pi\)
\(308\) −1.05931 + 1.45802i −0.0603601 + 0.0830785i
\(309\) −11.6242 −0.661278
\(310\) 10.1221 + 7.24864i 0.574898 + 0.411695i
\(311\) −7.97289 −0.452101 −0.226050 0.974116i \(-0.572581\pi\)
−0.226050 + 0.974116i \(0.572581\pi\)
\(312\) −0.820294 + 1.12904i −0.0464400 + 0.0639192i
\(313\) 7.80195 17.5235i 0.440992 0.990485i −0.547163 0.837026i \(-0.684292\pi\)
0.988155 0.153459i \(-0.0490413\pi\)
\(314\) −0.102076 0.314158i −0.00576049 0.0177290i
\(315\) 3.10079 4.92310i 0.174710 0.277385i
\(316\) 0.317655 + 0.550195i 0.0178695 + 0.0309509i
\(317\) −2.65073 2.38673i −0.148880 0.134052i 0.591325 0.806433i \(-0.298605\pi\)
−0.740205 + 0.672381i \(0.765272\pi\)
\(318\) 0.561080 + 0.182306i 0.0314638 + 0.0102232i
\(319\) 4.07230 + 4.52274i 0.228005 + 0.253225i
\(320\) −0.830237 2.07622i −0.0464116 0.116064i
\(321\) 13.2687 + 2.82035i 0.740586 + 0.157416i
\(322\) −15.3793 1.61643i −0.857055 0.0900801i
\(323\) 25.6749 2.69854i 1.42859 0.150151i
\(324\) 0.978148 0.207912i 0.0543415 0.0115506i
\(325\) 3.65533 + 5.94380i 0.202761 + 0.329703i
\(326\) −18.8129 + 13.6684i −1.04195 + 0.757022i
\(327\) −1.73510 8.16302i −0.0959514 0.451416i
\(328\) −5.50412 + 0.578506i −0.303914 + 0.0319427i
\(329\) 3.53999 33.6808i 0.195166 1.85688i
\(330\) −0.380044 + 1.50141i −0.0209207 + 0.0826501i
\(331\) −1.56998 + 0.698999i −0.0862938 + 0.0384205i −0.449430 0.893316i \(-0.648373\pi\)
0.363136 + 0.931736i \(0.381706\pi\)
\(332\) 6.43861 5.79735i 0.353365 0.318171i
\(333\) 10.4372 + 3.39126i 0.571956 + 0.185840i
\(334\) 7.38419 8.20097i 0.404045 0.448737i
\(335\) −3.83784 7.28053i −0.209684 0.397778i
\(336\) −1.30100 + 2.25339i −0.0709751 + 0.122933i
\(337\) −25.7853 + 8.37815i −1.40461 + 0.456387i −0.910680 0.413112i \(-0.864442\pi\)
−0.493934 + 0.869499i \(0.664442\pi\)
\(338\) 4.49541 10.0969i 0.244518 0.549197i
\(339\) −4.54611 3.30294i −0.246911 0.179391i
\(340\) −12.6723 0.487842i −0.687254 0.0264570i
\(341\) 1.35668 + 3.60988i 0.0734683 + 0.195486i
\(342\) 4.55199i 0.246144i
\(343\) −11.0571 + 15.2188i −0.597027 + 0.821738i
\(344\) 7.92612 + 3.52894i 0.427348 + 0.190268i
\(345\) −12.7875 + 3.61738i −0.688455 + 0.194753i
\(346\) −1.84765 + 3.20022i −0.0993300 + 0.172045i
\(347\) −7.36616 + 4.25285i −0.395436 + 0.228305i −0.684513 0.729001i \(-0.739985\pi\)
0.289077 + 0.957306i \(0.406652\pi\)
\(348\) 6.52982 + 5.87948i 0.350035 + 0.315173i
\(349\) −2.50449 + 7.70804i −0.134062 + 0.412602i −0.995443 0.0953584i \(-0.969600\pi\)
0.861381 + 0.507960i \(0.169600\pi\)
\(350\) 7.93630 + 10.3089i 0.424213 + 0.551035i
\(351\) 1.27491 0.567628i 0.0680499 0.0302978i
\(352\) 0.144006 0.677493i 0.00767553 0.0361105i
\(353\) −23.1366 2.43175i −1.23143 0.129429i −0.533631 0.845718i \(-0.679173\pi\)
−0.697804 + 0.716289i \(0.745839\pi\)
\(354\) −0.265939 2.53024i −0.0141345 0.134481i
\(355\) −3.33130 19.2954i −0.176807 1.02409i
\(356\) 4.76045 3.45867i 0.252303 0.183309i
\(357\) 8.67396 + 11.9387i 0.459075 + 0.631862i
\(358\) 4.04274 + 19.0196i 0.213666 + 1.00522i
\(359\) 0.472830 + 4.49867i 0.0249550 + 0.237431i 0.999888 + 0.0149344i \(0.00475395\pi\)
−0.974933 + 0.222497i \(0.928579\pi\)
\(360\) −0.319106 + 2.21318i −0.0168184 + 0.116645i
\(361\) −1.68305 0.357743i −0.0885816 0.0188286i
\(362\) 1.90230 + 4.27264i 0.0999829 + 0.224565i
\(363\) 7.81808 7.03943i 0.410343 0.369474i
\(364\) −1.12212 + 3.45353i −0.0588150 + 0.181014i
\(365\) −23.7294 + 24.3975i −1.24205 + 1.27703i
\(366\) 7.09999 + 12.2975i 0.371122 + 0.642803i
\(367\) 2.04466 + 1.18049i 0.106730 + 0.0616208i 0.552415 0.833569i \(-0.313706\pi\)
−0.445685 + 0.895190i \(0.647040\pi\)
\(368\) 5.65227 1.83653i 0.294645 0.0957359i
\(369\) 5.05596 + 2.25106i 0.263203 + 0.117185i
\(370\) −15.1769 + 19.2832i −0.789009 + 1.00249i
\(371\) 1.53506 0.0796962
\(372\) 2.49280 + 4.97855i 0.129245 + 0.258126i
\(373\) 1.52880i 0.0791582i −0.999216 0.0395791i \(-0.987398\pi\)
0.999216 0.0395791i \(-0.0126017\pi\)
\(374\) −3.17798 2.30894i −0.164329 0.119392i
\(375\) 9.62202 + 5.69358i 0.496879 + 0.294015i
\(376\) 4.02202 + 12.3785i 0.207420 + 0.638372i
\(377\) 10.6196 + 6.13125i 0.546939 + 0.315775i
\(378\) 2.25339 1.30100i 0.115902 0.0669160i
\(379\) −15.5814 + 17.3049i −0.800363 + 0.888893i −0.995775 0.0918279i \(-0.970729\pi\)
0.195412 + 0.980721i \(0.437396\pi\)
\(380\) 9.55223 + 3.51541i 0.490019 + 0.180337i
\(381\) 1.58657 + 1.76206i 0.0812824 + 0.0902732i
\(382\) −2.52195 5.66440i −0.129034 0.289816i
\(383\) 5.53607 26.0452i 0.282880 1.33085i −0.575488 0.817810i \(-0.695188\pi\)
0.858368 0.513035i \(-0.171479\pi\)
\(384\) 0.104528 0.994522i 0.00533420 0.0507515i
\(385\) 0.266752 + 4.02103i 0.0135949 + 0.204931i
\(386\) −18.7468 + 3.98475i −0.954185 + 0.202818i
\(387\) −5.09976 7.01921i −0.259235 0.356807i
\(388\) −8.45058 11.6312i −0.429013 0.590486i
\(389\) −21.7713 + 4.62763i −1.10385 + 0.234630i −0.723576 0.690245i \(-0.757503\pi\)
−0.380271 + 0.924875i \(0.624169\pi\)
\(390\) 0.206563 + 3.11374i 0.0104597 + 0.157670i
\(391\) 3.52326 33.5215i 0.178179 1.69526i
\(392\) 0.0477456 0.224626i 0.00241152 0.0113453i
\(393\) −0.691356 1.55281i −0.0348743 0.0783289i
\(394\) −5.25581 5.83717i −0.264784 0.294072i
\(395\) 1.33318 + 0.490637i 0.0670797 + 0.0246866i
\(396\) −0.463459 + 0.514724i −0.0232897 + 0.0258658i
\(397\) 0.786378 0.454015i 0.0394672 0.0227864i −0.480137 0.877194i \(-0.659413\pi\)
0.519604 + 0.854407i \(0.326080\pi\)
\(398\) 21.0950 + 12.1792i 1.05740 + 0.610489i
\(399\) −3.66007 11.2645i −0.183233 0.563933i
\(400\) −4.39786 2.37883i −0.219893 0.118941i
\(401\) −23.0563 16.7514i −1.15138 0.836524i −0.162714 0.986673i \(-0.552025\pi\)
−0.988663 + 0.150149i \(0.952025\pi\)
\(402\) 3.68063i 0.183573i
\(403\) 4.84739 + 6.07278i 0.241466 + 0.302507i
\(404\) 17.7442 0.882805
\(405\) 1.38294 1.75712i 0.0687191 0.0873119i
\(406\) 20.8864 + 9.29923i 1.03658 + 0.461513i
\(407\) −7.22911 + 2.34888i −0.358334 + 0.116430i
\(408\) −4.91161 2.83572i −0.243161 0.140389i
\(409\) 8.22290 + 14.2425i 0.406596 + 0.704246i 0.994506 0.104681i \(-0.0333822\pi\)
−0.587909 + 0.808927i \(0.700049\pi\)
\(410\) −8.62839 + 8.87135i −0.426126 + 0.438125i
\(411\) 1.63021 5.01726i 0.0804122 0.247483i
\(412\) 8.63847 7.77811i 0.425587 0.383200i
\(413\) −2.69256 6.04760i −0.132492 0.297583i
\(414\) −5.81328 1.23565i −0.285707 0.0607289i
\(415\) 2.76473 19.1750i 0.135716 0.941264i
\(416\) −0.145877 1.38792i −0.00715219 0.0680485i
\(417\) 2.74143 + 12.8974i 0.134249 + 0.631590i
\(418\) 1.85319 + 2.55070i 0.0906427 + 0.124759i
\(419\) 11.0755 8.04684i 0.541075 0.393114i −0.283409 0.958999i \(-0.591465\pi\)
0.824484 + 0.565885i \(0.191465\pi\)
\(420\) 0.989857 + 5.73341i 0.0483001 + 0.279762i
\(421\) 1.41794 + 13.4908i 0.0691060 + 0.657500i 0.973168 + 0.230098i \(0.0739046\pi\)
−0.904061 + 0.427402i \(0.859429\pi\)
\(422\) −3.48394 0.366177i −0.169595 0.0178252i
\(423\) 2.70608 12.7311i 0.131574 0.619007i
\(424\) −0.538951 + 0.239956i −0.0261738 + 0.0116533i
\(425\) −22.4699 + 17.2984i −1.08995 + 0.839095i
\(426\) 2.70601 8.32824i 0.131107 0.403505i
\(427\) 27.4579 + 24.7232i 1.32878 + 1.19644i
\(428\) −11.7477 + 6.78256i −0.567848 + 0.327847i
\(429\) −0.483305 + 0.837109i −0.0233342 + 0.0404160i
\(430\) 18.6681 5.28091i 0.900254 0.254668i
\(431\) −4.71324 2.09847i −0.227029 0.101080i 0.290070 0.957005i \(-0.406321\pi\)
−0.517099 + 0.855926i \(0.672988\pi\)
\(432\) −0.587785 + 0.809017i −0.0282798 + 0.0389238i
\(433\) 35.0453i 1.68417i 0.539344 + 0.842085i \(0.318672\pi\)
−0.539344 + 0.842085i \(0.681328\pi\)
\(434\) 10.1718 + 10.3158i 0.488263 + 0.495173i
\(435\) 19.6332 + 0.755813i 0.941341 + 0.0362385i
\(436\) 6.75156 + 4.90529i 0.323341 + 0.234921i
\(437\) −11.0035 + 24.7143i −0.526370 + 1.18225i
\(438\) −14.4756 + 4.70341i −0.691671 + 0.224737i
\(439\) 5.03065 8.71334i 0.240100 0.415865i −0.720643 0.693307i \(-0.756153\pi\)
0.960743 + 0.277442i \(0.0894865\pi\)
\(440\) −0.722213 1.37007i −0.0344302 0.0653154i
\(441\) −0.153662 + 0.170659i −0.00731722 + 0.00812660i
\(442\) −7.52749 2.44583i −0.358046 0.116336i
\(443\) −15.9504 + 14.3618i −0.757825 + 0.682348i −0.954530 0.298114i \(-0.903642\pi\)
0.196706 + 0.980463i \(0.436976\pi\)
\(444\) −10.0256 + 4.46366i −0.475792 + 0.211836i
\(445\) 3.22867 12.7553i 0.153054 0.604658i
\(446\) 0.685703 6.52403i 0.0324690 0.308922i
\(447\) −21.4012 + 2.24936i −1.01224 + 0.106391i
\(448\) −0.540984 2.54513i −0.0255591 0.120246i
\(449\) −1.95197 + 1.41819i −0.0921193 + 0.0669286i −0.632892 0.774240i \(-0.718132\pi\)
0.540772 + 0.841169i \(0.318132\pi\)
\(450\) 2.61924 + 4.25906i 0.123472 + 0.200774i
\(451\) −3.74954 + 0.796990i −0.176559 + 0.0375288i
\(452\) 5.58852 0.587377i 0.262862 0.0276279i
\(453\) −13.4513 1.41378i −0.631995 0.0664254i
\(454\) −11.4441 2.43252i −0.537099 0.114164i
\(455\) 3.01480 + 7.53930i 0.141336 + 0.353448i
\(456\) 3.04588 + 3.38279i 0.142636 + 0.158414i
\(457\) −11.8422 3.84778i −0.553957 0.179991i 0.0186434 0.999826i \(-0.494065\pi\)
−0.572600 + 0.819835i \(0.694065\pi\)
\(458\) −7.69054 6.92459i −0.359355 0.323565i
\(459\) 2.83572 + 4.91161i 0.132360 + 0.229254i
\(460\) 7.08245 11.2447i 0.330221 0.524288i
\(461\) 7.22647 + 22.2408i 0.336570 + 1.03586i 0.965943 + 0.258753i \(0.0833117\pi\)
−0.629373 + 0.777103i \(0.716688\pi\)
\(462\) −0.733026 + 1.64640i −0.0341035 + 0.0765977i
\(463\) −17.0025 + 23.4019i −0.790171 + 1.08758i 0.203916 + 0.978988i \(0.434633\pi\)
−0.994087 + 0.108589i \(0.965367\pi\)
\(464\) −8.78674 −0.407914
\(465\) 11.4080 + 4.98573i 0.529033 + 0.231208i
\(466\) 24.3137 1.12631
\(467\) −10.6970 + 14.7232i −0.495000 + 0.681309i −0.981300 0.192482i \(-0.938346\pi\)
0.486300 + 0.873792i \(0.338346\pi\)
\(468\) −0.567628 + 1.27491i −0.0262386 + 0.0589329i
\(469\) −2.95945 9.10824i −0.136654 0.420579i
\(470\) 24.6260 + 15.5106i 1.13591 + 0.715451i
\(471\) −0.165163 0.286070i −0.00761029 0.0131814i
\(472\) 1.89069 + 1.70239i 0.0870261 + 0.0783587i
\(473\) 5.71528 + 1.85701i 0.262789 + 0.0853853i
\(474\) 0.425106 + 0.472128i 0.0195258 + 0.0216856i
\(475\) 21.4424 7.63142i 0.983846 0.350154i
\(476\) −14.4345 3.06816i −0.661606 0.140629i
\(477\) 0.586723 + 0.0616671i 0.0268642 + 0.00282354i
\(478\) 12.5629 1.32041i 0.574612 0.0603942i
\(479\) −7.28072 + 1.54756i −0.332664 + 0.0707100i −0.371216 0.928547i \(-0.621059\pi\)
0.0385514 + 0.999257i \(0.487726\pi\)
\(480\) −1.24377 1.85824i −0.0567699 0.0848166i
\(481\) −12.3904 + 9.00218i −0.564955 + 0.410464i
\(482\) −2.25497 10.6088i −0.102711 0.483218i
\(483\) −15.3793 + 1.61643i −0.699782 + 0.0735501i
\(484\) −1.09967 + 10.4626i −0.0499849 + 0.475574i
\(485\) −31.1650 7.88863i −1.41513 0.358204i
\(486\) 0.913545 0.406737i 0.0414393 0.0184499i
\(487\) 13.3940 12.0600i 0.606939 0.546490i −0.307328 0.951604i \(-0.599435\pi\)
0.914266 + 0.405114i \(0.132768\pi\)
\(488\) −13.5050 4.38804i −0.611342 0.198637i
\(489\) −15.5600 + 17.2811i −0.703647 + 0.781479i
\(490\) −0.239453 0.454251i −0.0108174 0.0205210i
\(491\) 9.32779 16.1562i 0.420957 0.729120i −0.575076 0.818100i \(-0.695027\pi\)
0.996033 + 0.0889803i \(0.0283608\pi\)
\(492\) −5.26356 + 1.71024i −0.237300 + 0.0771034i
\(493\) −20.2691 + 45.5251i −0.912874 + 2.05035i
\(494\) 5.13937 + 3.73397i 0.231231 + 0.167999i
\(495\) −0.0595781 + 1.54762i −0.00267784 + 0.0695603i
\(496\) −5.18381 2.03178i −0.232760 0.0912296i
\(497\) 22.7852i 1.02206i
\(498\) 5.09257 7.00933i 0.228204 0.314095i
\(499\) −12.5957 5.60795i −0.563859 0.251046i 0.104954 0.994477i \(-0.466531\pi\)
−0.668813 + 0.743431i \(0.733197\pi\)
\(500\) −10.9603 + 2.20723i −0.490159 + 0.0987104i
\(501\) 5.51775 9.55702i 0.246515 0.426976i
\(502\) −2.66006 + 1.53578i −0.118724 + 0.0685454i
\(503\) −16.3234 14.6977i −0.727826 0.655337i 0.219499 0.975613i \(-0.429558\pi\)
−0.947324 + 0.320275i \(0.896225\pi\)
\(504\) −0.804059 + 2.47464i −0.0358157 + 0.110229i
\(505\) 30.4853 25.3953i 1.35658 1.13007i
\(506\) 3.76051 1.67429i 0.167175 0.0744312i
\(507\) 2.29792 10.8109i 0.102054 0.480128i
\(508\) −2.35810 0.247846i −0.104624 0.0109964i
\(509\) −1.63424 15.5487i −0.0724363 0.689186i −0.969133 0.246540i \(-0.920706\pi\)
0.896696 0.442646i \(-0.145960\pi\)
\(510\) −12.4968 + 2.15754i −0.553369 + 0.0955377i
\(511\) −32.0401 + 23.2785i −1.41737 + 1.02978i
\(512\) 0.587785 + 0.809017i 0.0259767 + 0.0357538i
\(513\) −0.946413 4.45252i −0.0417851 0.196584i
\(514\) 1.52139 + 14.4751i 0.0671059 + 0.638470i
\(515\) 3.70935 25.7265i 0.163454 1.13364i
\(516\) 8.48663 + 1.80389i 0.373603 + 0.0794118i
\(517\) 3.66670 + 8.23555i 0.161261 + 0.362199i
\(518\) −21.2206 + 19.1071i −0.932379 + 0.839518i
\(519\) −1.14191 + 3.51443i −0.0501242 + 0.154266i
\(520\) −2.23700 2.17574i −0.0980991 0.0954126i
\(521\) −4.59771 7.96347i −0.201430 0.348886i 0.747560 0.664195i \(-0.231225\pi\)
−0.948989 + 0.315308i \(0.897892\pi\)
\(522\) 7.60954 + 4.39337i 0.333061 + 0.192293i
\(523\) 37.6158 12.2221i 1.64482 0.534436i 0.667215 0.744865i \(-0.267486\pi\)
0.977609 + 0.210429i \(0.0674862\pi\)
\(524\) 1.55281 + 0.691356i 0.0678348 + 0.0302020i
\(525\) 9.90622 + 8.43360i 0.432343 + 0.368073i
\(526\) 16.6943 0.727905
\(527\) −22.4848 + 22.1710i −0.979453 + 0.965786i
\(528\) 0.692629i 0.0301428i
\(529\) 9.96790 + 7.24210i 0.433387 + 0.314874i
\(530\) −0.582520 + 1.18360i −0.0253031 + 0.0514122i
\(531\) −0.786193 2.41965i −0.0341179 0.105004i
\(532\) 10.2574 + 5.92212i 0.444715 + 0.256757i
\(533\) −6.68890 + 3.86184i −0.289729 + 0.167275i
\(534\) 3.93733 4.37284i 0.170385 0.189231i
\(535\) −10.4761 + 28.4660i −0.452919 + 1.23069i
\(536\) 2.46282 + 2.73524i 0.106378 + 0.118144i
\(537\) 7.90880 + 17.7635i 0.341290 + 0.766550i
\(538\) −3.80463 + 17.8994i −0.164029 + 0.771696i
\(539\) 0.0166261 0.158187i 0.000716136 0.00681358i
\(540\) 0.148014 + 2.23116i 0.00636949 + 0.0960140i
\(541\) 19.4143 4.12664i 0.834687 0.177418i 0.229306 0.973354i \(-0.426354\pi\)
0.605381 + 0.795936i \(0.293021\pi\)
\(542\) −3.11869 4.29250i −0.133959 0.184379i
\(543\) 2.74907 + 3.78377i 0.117974 + 0.162377i
\(544\) 5.54750 1.17916i 0.237847 0.0505560i
\(545\) 18.6199 1.23523i 0.797590 0.0529114i
\(546\) −0.379569 + 3.61136i −0.0162441 + 0.154552i
\(547\) 0.270950 1.27472i 0.0115850 0.0545030i −0.971975 0.235083i \(-0.924464\pi\)
0.983560 + 0.180579i \(0.0577973\pi\)
\(548\) 2.14572 + 4.81937i 0.0916608 + 0.205873i
\(549\) 9.50164 + 10.5526i 0.405520 + 0.450376i
\(550\) −3.20162 1.32022i −0.136518 0.0562942i
\(551\) 26.7634 29.7237i 1.14016 1.26627i
\(552\) 5.14692 2.97157i 0.219067 0.126479i
\(553\) 1.43160 + 0.826537i 0.0608780 + 0.0351479i
\(554\) 3.11863 + 9.59815i 0.132498 + 0.407786i
\(555\) −10.8360 + 22.0173i −0.459964 + 0.934581i
\(556\) −10.6674 7.75028i −0.452396 0.328685i
\(557\) 10.9800i 0.465237i 0.972568 + 0.232618i \(0.0747293\pi\)
−0.972568 + 0.232618i \(0.925271\pi\)
\(558\) 3.47342 + 4.35148i 0.147042 + 0.184213i
\(559\) 12.1083 0.512125
\(560\) −4.57201 3.59841i −0.193202 0.152061i
\(561\) −3.58859 1.59774i −0.151510 0.0674568i
\(562\) 13.3997 4.35383i 0.565232 0.183655i
\(563\) −11.2856 6.51575i −0.475632 0.274606i 0.242963 0.970036i \(-0.421881\pi\)
−0.718594 + 0.695430i \(0.755214\pi\)
\(564\) 6.50776 + 11.2718i 0.274026 + 0.474627i
\(565\) 8.76070 9.00738i 0.368566 0.378943i
\(566\) −2.84093 + 8.74348i −0.119413 + 0.367516i
\(567\) 1.93366 1.74107i 0.0812059 0.0731181i
\(568\) 3.56172 + 7.99976i 0.149447 + 0.335663i
\(569\) −25.4605 5.41179i −1.06736 0.226874i −0.359440 0.933168i \(-0.617032\pi\)
−0.707918 + 0.706294i \(0.750366\pi\)
\(570\) 10.0744 + 1.45257i 0.421970 + 0.0608414i
\(571\) −0.0480876 0.457523i −0.00201240 0.0191467i 0.993470 0.114097i \(-0.0363975\pi\)
−0.995482 + 0.0949503i \(0.969731\pi\)
\(572\) −0.200970 0.945488i −0.00840296 0.0395328i
\(573\) −3.64454 5.01628i −0.152253 0.209558i
\(574\) −11.6503 + 8.46443i −0.486274 + 0.353299i
\(575\) −3.92536 29.4553i −0.163699 1.22837i
\(576\) −0.104528 0.994522i −0.00435535 0.0414384i
\(577\) 20.7934 + 2.18548i 0.865641 + 0.0909825i 0.526931 0.849908i \(-0.323343\pi\)
0.338710 + 0.940891i \(0.390009\pi\)
\(578\) 3.15302 14.8338i 0.131148 0.617005i
\(579\) −17.5086 + 7.79534i −0.727633 + 0.323963i
\(580\) −15.0961 + 12.5755i −0.626830 + 0.522169i
\(581\) 6.96637 21.4403i 0.289014 0.889493i
\(582\) −10.6842 9.62008i −0.442874 0.398765i
\(583\) −0.353875 + 0.204310i −0.0146560 + 0.00846165i
\(584\) 7.61027 13.1814i 0.314915 0.545449i
\(585\) 0.849432 + 3.00275i 0.0351197 + 0.124148i
\(586\) −14.9047 6.63599i −0.615706 0.274130i
\(587\) −9.93058 + 13.6683i −0.409879 + 0.564150i −0.963189 0.268826i \(-0.913364\pi\)
0.553310 + 0.832975i \(0.313364\pi\)
\(588\) 0.229644i 0.00947035i
\(589\) 22.6623 11.3472i 0.933785 0.467553i
\(590\) 5.68474 + 0.218843i 0.234037 + 0.00900964i
\(591\) −6.35457 4.61687i −0.261392 0.189913i
\(592\) 4.46366 10.0256i 0.183455 0.412048i
\(593\) 16.5820 5.38781i 0.680940 0.221251i 0.0519332 0.998651i \(-0.483462\pi\)
0.629007 + 0.777400i \(0.283462\pi\)
\(594\) −0.346314 + 0.599834i −0.0142095 + 0.0246115i
\(595\) −29.1904 + 15.3873i −1.19669 + 0.630820i
\(596\) 14.3991 15.9918i 0.589810 0.655051i
\(597\) 23.1663 + 7.52718i 0.948132 + 0.308067i
\(598\) 6.16369 5.54981i 0.252052 0.226949i
\(599\) −19.8724 + 8.84776i −0.811964 + 0.361510i −0.770348 0.637624i \(-0.779917\pi\)
−0.0416165 + 0.999134i \(0.513251\pi\)
\(600\) −4.79634 1.41248i −0.195810 0.0576642i
\(601\) 0.121973 1.16050i 0.00497539 0.0473377i −0.991753 0.128168i \(-0.959090\pi\)
0.996728 + 0.0808300i \(0.0257571\pi\)
\(602\) 22.4518 2.35978i 0.915066 0.0961774i
\(603\) −0.765246 3.60020i −0.0311632 0.146611i
\(604\) 10.9422 7.95000i 0.445233 0.323481i
\(605\) 13.0847 + 19.5492i 0.531970 + 0.794786i
\(606\) 17.3564 3.68922i 0.705056 0.149864i
\(607\) 34.4685 3.62279i 1.39903 0.147044i 0.625216 0.780452i \(-0.285011\pi\)
0.773819 + 0.633407i \(0.218344\pi\)
\(608\) −4.52706 0.475813i −0.183596 0.0192968i
\(609\) 22.3634 + 4.75349i 0.906211 + 0.192621i
\(610\) −29.4823 + 11.7893i −1.19371 + 0.477337i
\(611\) 12.1541 + 13.4985i 0.491703 + 0.546091i
\(612\) −5.39386 1.75257i −0.218034 0.0708435i
\(613\) −24.7930 22.3238i −1.00138 0.901648i −0.00622810 0.999981i \(-0.501982\pi\)
−0.995154 + 0.0983325i \(0.968649\pi\)
\(614\) −16.4863 28.5551i −0.665332 1.15239i
\(615\) −6.59539 + 10.4714i −0.265952 + 0.422249i
\(616\) −0.556915 1.71401i −0.0224387 0.0690593i
\(617\) −8.46305 + 19.0083i −0.340710 + 0.765246i 0.659202 + 0.751966i \(0.270894\pi\)
−0.999912 + 0.0132806i \(0.995773\pi\)
\(618\) 6.83254 9.40418i 0.274845 0.378292i
\(619\) 28.1871 1.13293 0.566467 0.824084i \(-0.308310\pi\)
0.566467 + 0.824084i \(0.308310\pi\)
\(620\) −11.8139 + 3.92832i −0.474458 + 0.157765i
\(621\) −5.94315 −0.238490
\(622\) 4.68635 6.45020i 0.187905 0.258630i
\(623\) 6.22744 13.9871i 0.249497 0.560380i
\(624\) −0.431254 1.32726i −0.0172640 0.0531331i
\(625\) −15.6714 + 19.4784i −0.626854 + 0.779136i
\(626\) 9.59091 + 16.6120i 0.383330 + 0.663947i
\(627\) 2.34302 + 2.10966i 0.0935712 + 0.0842518i
\(628\) 0.314158 + 0.102076i 0.0125363 + 0.00407328i
\(629\) −41.6468 46.2535i −1.66057 1.84425i
\(630\) 2.16027 + 5.40232i 0.0860672 + 0.215233i
\(631\) 4.44186 + 0.944146i 0.176828 + 0.0375858i 0.295474 0.955351i \(-0.404522\pi\)
−0.118647 + 0.992937i \(0.537856\pi\)
\(632\) −0.631831 0.0664081i −0.0251329 0.00264157i
\(633\) −3.48394 + 0.366177i −0.138474 + 0.0145542i
\(634\) 3.48896 0.741602i 0.138564 0.0294528i
\(635\) −4.40605 + 2.94908i −0.174849 + 0.117031i
\(636\) −0.477284 + 0.346767i −0.0189255 + 0.0137502i
\(637\) −0.0666322 0.313480i −0.00264007 0.0124205i
\(638\) −6.05261 + 0.636155i −0.239625 + 0.0251856i
\(639\) 0.915338 8.70886i 0.0362102 0.344517i
\(640\) 2.16770 + 0.548698i 0.0856859 + 0.0216892i
\(641\) −22.9699 + 10.2269i −0.907257 + 0.403937i −0.806677 0.590992i \(-0.798736\pi\)
−0.100580 + 0.994929i \(0.532070\pi\)
\(642\) −10.0808 + 9.07683i −0.397859 + 0.358234i
\(643\) −41.4839 13.4789i −1.63597 0.531558i −0.660335 0.750971i \(-0.729586\pi\)
−0.975632 + 0.219413i \(0.929586\pi\)
\(644\) 10.3474 11.4920i 0.407746 0.452848i
\(645\) 17.1622 9.04681i 0.675759 0.356218i
\(646\) −12.9082 + 22.3576i −0.507865 + 0.879648i
\(647\) −17.5338 + 5.69707i −0.689324 + 0.223975i −0.632673 0.774419i \(-0.718042\pi\)
−0.0566508 + 0.998394i \(0.518042\pi\)
\(648\) −0.406737 + 0.913545i −0.0159781 + 0.0358875i
\(649\) 1.42563 + 1.03578i 0.0559607 + 0.0406578i
\(650\) −6.95719 0.536452i −0.272883 0.0210414i
\(651\) 12.0943 + 7.97550i 0.474013 + 0.312585i
\(652\) 23.2540i 0.910699i
\(653\) −28.4708 + 39.1867i −1.11415 + 1.53350i −0.298993 + 0.954255i \(0.596651\pi\)
−0.815157 + 0.579240i \(0.803349\pi\)
\(654\) 7.62389 + 3.39437i 0.298118 + 0.132731i
\(655\) 3.65727 1.03458i 0.142901 0.0404246i
\(656\) 2.76722 4.79296i 0.108042 0.187134i
\(657\) −13.1814 + 7.61027i −0.514254 + 0.296905i
\(658\) 25.1675 + 22.6610i 0.981133 + 0.883416i
\(659\) 3.75292 11.5503i 0.146193 0.449936i −0.850969 0.525215i \(-0.823985\pi\)
0.997163 + 0.0752790i \(0.0239847\pi\)
\(660\) −0.991284 1.18997i −0.0385857 0.0463195i
\(661\) 10.3445 4.60569i 0.402356 0.179141i −0.195573 0.980689i \(-0.562657\pi\)
0.597930 + 0.801548i \(0.295990\pi\)
\(662\) 0.357308 1.68100i 0.0138872 0.0653340i
\(663\) −7.87151 0.827329i −0.305704 0.0321308i
\(664\) 0.905635 + 8.61654i 0.0351455 + 0.334387i
\(665\) 26.0984 4.50582i 1.01205 0.174728i
\(666\) −8.87842 + 6.45055i −0.344032 + 0.249954i
\(667\) −30.6947 42.2476i −1.18850 1.63583i
\(668\) 2.29441 + 10.7943i 0.0887733 + 0.417646i
\(669\) −0.685703 6.52403i −0.0265108 0.252233i
\(670\) 8.14590 + 1.17451i 0.314704 + 0.0453753i
\(671\) −9.62039 2.04488i −0.371391 0.0789416i
\(672\) −1.05833 2.37704i −0.0408258 0.0916962i
\(673\) −5.12940 + 4.61853i −0.197724 + 0.178031i −0.762045 0.647524i \(-0.775805\pi\)
0.564321 + 0.825555i \(0.309138\pi\)
\(674\) 8.37815 25.7853i 0.322714 0.993212i
\(675\) 3.44752 + 3.62141i 0.132695 + 0.139388i
\(676\) 5.52620 + 9.57165i 0.212546 + 0.368140i
\(677\) 30.8683 + 17.8218i 1.18637 + 0.684949i 0.957479 0.288504i \(-0.0931578\pi\)
0.228888 + 0.973453i \(0.426491\pi\)
\(678\) 5.34427 1.73646i 0.205246 0.0666884i
\(679\) −34.1746 15.2155i −1.31150 0.583918i
\(680\) 7.84328 9.96538i 0.300776 0.382155i
\(681\) −11.6998 −0.448337
\(682\) −3.71789 1.02425i −0.142365 0.0392207i
\(683\) 23.8764i 0.913604i 0.889568 + 0.456802i \(0.151005\pi\)
−0.889568 + 0.456802i \(0.848995\pi\)
\(684\) 3.68264 + 2.67559i 0.140809 + 0.102304i
\(685\) 10.5839 + 5.20898i 0.404390 + 0.199025i
\(686\) −5.81306 17.8908i −0.221944 0.683073i
\(687\) −8.96219 5.17432i −0.341929 0.197413i
\(688\) −7.51383 + 4.33811i −0.286462 + 0.165389i
\(689\) −0.550910 + 0.611847i −0.0209880 + 0.0233095i
\(690\) 4.58977 12.4715i 0.174729 0.474783i
\(691\) 6.41657 + 7.12632i 0.244098 + 0.271098i 0.852727 0.522357i \(-0.174947\pi\)
−0.608629 + 0.793455i \(0.708280\pi\)
\(692\) −1.50301 3.37582i −0.0571359 0.128329i
\(693\) −0.374701 + 1.76283i −0.0142337 + 0.0669644i
\(694\) 0.889088 8.45911i 0.0337493 0.321103i
\(695\) −29.4192 + 1.95164i −1.11593 + 0.0740300i
\(696\) −8.59473 + 1.82687i −0.325782 + 0.0692472i
\(697\) −18.4495 25.3936i −0.698826 0.961851i
\(698\) −4.76383 6.55685i −0.180314 0.248180i
\(699\) 23.7824 5.05510i 0.899532 0.191201i
\(700\) −13.0049 + 0.361168i −0.491541 + 0.0136509i
\(701\) −1.10679 + 10.5304i −0.0418028 + 0.397727i 0.953535 + 0.301281i \(0.0974143\pi\)
−0.995338 + 0.0964463i \(0.969252\pi\)
\(702\) −0.290155 + 1.36507i −0.0109512 + 0.0515213i
\(703\) 20.3186 + 45.6363i 0.766329 + 1.72120i
\(704\) 0.463459 + 0.514724i 0.0174673 + 0.0193994i
\(705\) 27.3127 + 10.0516i 1.02866 + 0.378566i
\(706\) 15.5667 17.2885i 0.585859 0.650662i
\(707\) 39.9845 23.0851i 1.50377 0.868203i
\(708\) 2.20332 + 1.27209i 0.0828059 + 0.0478080i
\(709\) 7.58181 + 23.3344i 0.284741 + 0.876342i 0.986476 + 0.163904i \(0.0524088\pi\)
−0.701736 + 0.712438i \(0.747591\pi\)
\(710\) 17.5684 + 8.64648i 0.659331 + 0.324497i
\(711\) 0.513977 + 0.373426i 0.0192757 + 0.0140046i
\(712\) 5.88424i 0.220521i
\(713\) −8.33956 32.0219i −0.312319 1.19923i
\(714\) −14.7570 −0.552268
\(715\) −1.69845 1.33677i −0.0635184 0.0499923i
\(716\) −17.7635 7.90880i −0.663851 0.295566i
\(717\) 12.0138 3.90353i 0.448664 0.145780i
\(718\) −3.91743 2.26173i −0.146197 0.0844069i
\(719\) −5.53602 9.58867i −0.206459 0.357597i 0.744138 0.668026i \(-0.232861\pi\)
−0.950597 + 0.310429i \(0.899527\pi\)
\(720\) −1.60294 1.55904i −0.0597379 0.0581019i
\(721\) 9.34655 28.7657i 0.348084 1.07129i
\(722\) 1.27869 1.15134i 0.0475880 0.0428484i
\(723\) −4.41139 9.90814i −0.164061 0.368488i
\(724\) −4.57479 0.972401i −0.170021 0.0361390i
\(725\) −7.93783 + 43.2107i −0.294803 + 1.60480i
\(726\) 1.09967 + 10.4626i 0.0408125 + 0.388305i
\(727\) 5.54842 + 26.1033i 0.205779 + 0.968116i 0.952866 + 0.303390i \(0.0981185\pi\)
−0.747087 + 0.664726i \(0.768548\pi\)
\(728\) −2.13440 2.93775i −0.0791060 0.108880i
\(729\) 0.809017 0.587785i 0.0299636 0.0217698i
\(730\) −5.79024 33.5380i −0.214306 1.24130i
\(731\) 5.14350 + 48.9371i 0.190239 + 1.81000i
\(732\) −14.1222 1.48430i −0.521971 0.0548614i
\(733\) 8.97575 42.2276i 0.331527 1.55971i −0.424659 0.905353i \(-0.639606\pi\)
0.756186 0.654357i \(-0.227061\pi\)
\(734\) −2.15685 + 0.960294i −0.0796110 + 0.0354451i
\(735\) −0.328664 0.394539i −0.0121230 0.0145528i
\(736\) −1.83653 + 5.65227i −0.0676955 + 0.208345i
\(737\) 1.89451 + 1.70582i 0.0697851 + 0.0628348i
\(738\) −4.79296 + 2.76722i −0.176431 + 0.101863i
\(739\) 13.6377 23.6212i 0.501672 0.868922i −0.498326 0.866990i \(-0.666052\pi\)
0.999998 0.00193182i \(-0.000614918\pi\)
\(740\) −6.67968 23.6127i −0.245550 0.868022i
\(741\) 5.80340 + 2.58384i 0.213193 + 0.0949198i
\(742\) −0.902284 + 1.24189i −0.0331239 + 0.0455911i
\(743\) 4.22363i 0.154950i 0.996994 + 0.0774750i \(0.0246858\pi\)
−0.996994 + 0.0774750i \(0.975314\pi\)
\(744\) −5.49296 0.909605i −0.201382 0.0333477i
\(745\) 1.85102 48.0826i 0.0678161 1.76161i
\(746\) 1.23682 + 0.898606i 0.0452834 + 0.0329003i
\(747\) 3.52397 7.91496i 0.128935 0.289593i
\(748\) 3.73594 1.21388i 0.136600 0.0443839i
\(749\) −17.6482 + 30.5675i −0.644849 + 1.11691i
\(750\) −10.2619 + 4.43777i −0.374711 + 0.162045i
\(751\) 29.9083 33.2165i 1.09137 1.21209i 0.115597 0.993296i \(-0.463122\pi\)
0.975772 0.218792i \(-0.0702116\pi\)
\(752\) −12.3785 4.02202i −0.451397 0.146668i
\(753\) −2.28262 + 2.05528i −0.0831833 + 0.0748986i
\(754\) −11.2023 + 4.98761i −0.407965 + 0.181638i
\(755\) 7.42134 29.3189i 0.270090 1.06703i
\(756\) −0.271982 + 2.58774i −0.00989189 + 0.0941151i
\(757\) −12.9221 + 1.35817i −0.469663 + 0.0493635i −0.336404 0.941718i \(-0.609211\pi\)
−0.133259 + 0.991081i \(0.542544\pi\)
\(758\) −4.84144 22.7772i −0.175849 0.827305i
\(759\) 3.33023 2.41956i 0.120880 0.0878243i
\(760\) −8.45869 + 5.66161i −0.306829 + 0.205368i
\(761\) −1.32986 + 0.282669i −0.0482072 + 0.0102468i −0.231952 0.972727i \(-0.574511\pi\)
0.183745 + 0.982974i \(0.441178\pi\)
\(762\) −2.35810 + 0.247846i −0.0854250 + 0.00897853i
\(763\) 21.5957 + 2.26980i 0.781815 + 0.0821721i
\(764\) 6.06496 + 1.28915i 0.219423 + 0.0466397i
\(765\) −11.7752 + 4.70864i −0.425732 + 0.170241i
\(766\) 17.8170 + 19.7877i 0.643753 + 0.714960i
\(767\) 3.37679 + 1.09719i 0.121929 + 0.0396171i
\(768\) 0.743145 + 0.669131i 0.0268159 + 0.0241452i
\(769\) 11.8474 + 20.5203i 0.427228 + 0.739981i 0.996626 0.0820811i \(-0.0261567\pi\)
−0.569397 + 0.822063i \(0.692823\pi\)
\(770\) −3.40988 2.14770i −0.122883 0.0773977i
\(771\) 4.49769 + 13.8425i 0.161980 + 0.498525i
\(772\) 7.79534 17.5086i 0.280560 0.630149i
\(773\) 20.2918 27.9292i 0.729844 1.00454i −0.269295 0.963058i \(-0.586791\pi\)
0.999139 0.0414862i \(-0.0132093\pi\)
\(774\) 8.67622 0.311860
\(775\) −14.6747 + 23.6570i −0.527130 + 0.849784i
\(776\) 14.3770 0.516104
\(777\) −16.7843 + 23.1016i −0.602132 + 0.828764i
\(778\) 9.05300 20.3334i 0.324566 0.728987i
\(779\) 7.78498 + 23.9597i 0.278926 + 0.858446i
\(780\) −2.64048 1.66310i −0.0945445 0.0595484i
\(781\) 3.03262 + 5.25265i 0.108516 + 0.187955i
\(782\) 25.0486 + 22.5538i 0.895735 + 0.806524i
\(783\) 8.35669 + 2.71525i 0.298644 + 0.0970352i
\(784\) 0.153662 + 0.170659i 0.00548792 + 0.00609495i
\(785\) 0.685829 0.274248i 0.0244783 0.00978833i
\(786\) 1.66262 + 0.353400i 0.0593036 + 0.0126054i
\(787\) 19.3314 + 2.03181i 0.689091 + 0.0724263i 0.442600 0.896719i \(-0.354056\pi\)
0.246490 + 0.969145i \(0.420723\pi\)
\(788\) 7.81166 0.821038i 0.278279 0.0292483i
\(789\) 16.3295 3.47094i 0.581345 0.123569i
\(790\) −1.18056 + 0.790178i −0.0420024 + 0.0281133i
\(791\) 11.8289 8.59423i 0.420589 0.305576i
\(792\) −0.144006 0.677493i −0.00511702 0.0240737i
\(793\) −19.7085 + 2.07144i −0.699868 + 0.0735591i
\(794\) −0.0949151 + 0.903057i −0.00336841 + 0.0320483i
\(795\) −0.323707 + 1.27885i −0.0114807 + 0.0453560i
\(796\) −22.2526 + 9.90747i −0.788721 + 0.351161i
\(797\) 21.9600 19.7729i 0.777864 0.700392i −0.181242 0.983439i \(-0.558012\pi\)
0.959106 + 0.283046i \(0.0913450\pi\)
\(798\) 11.2645 + 3.66007i 0.398761 + 0.129565i
\(799\) −49.3930 + 54.8565i −1.74740 + 1.94068i
\(800\) 4.50951 2.15970i 0.159435 0.0763571i
\(801\) 2.94212 5.09590i 0.103955 0.180055i
\(802\) 27.1043 8.80673i 0.957087 0.310976i
\(803\) 4.28789 9.63077i 0.151316 0.339862i
\(804\) 2.97769 + 2.16342i 0.105015 + 0.0762980i
\(805\) 1.33017 34.5530i 0.0468825 1.21783i
\(806\) −7.76221 + 0.352133i −0.273412 + 0.0124034i
\(807\) 18.2992i 0.644164i
\(808\) −10.4298 + 14.3553i −0.366918 + 0.505019i
\(809\) 11.1835 + 4.97923i 0.393192 + 0.175060i 0.593803 0.804611i \(-0.297626\pi\)
−0.200611 + 0.979671i \(0.564293\pi\)
\(810\) 0.608664 + 2.15163i 0.0213863 + 0.0756007i
\(811\) 25.2040 43.6547i 0.885034 1.53292i 0.0393588 0.999225i \(-0.487468\pi\)
0.845675 0.533698i \(-0.179198\pi\)
\(812\) −19.8000 + 11.4315i −0.694842 + 0.401167i
\(813\) −3.94300 3.55029i −0.138287 0.124514i
\(814\) 2.34888 7.22911i 0.0823282 0.253380i
\(815\) −33.2810 39.9516i −1.16578 1.39944i
\(816\) 5.18112 2.30678i 0.181375 0.0807535i
\(817\) 8.21129 38.6311i 0.287277 1.35153i
\(818\) −16.3557 1.71905i −0.571864 0.0601053i
\(819\) 0.379569 + 3.61136i 0.0132632 + 0.126191i
\(820\) −2.10543 12.1950i −0.0735247 0.425867i
\(821\) 32.4564 23.5810i 1.13274 0.822982i 0.146646 0.989189i \(-0.453152\pi\)
0.986091 + 0.166207i \(0.0531520\pi\)
\(822\) 3.10084 + 4.26794i 0.108154 + 0.148861i
\(823\) −2.70504 12.7262i −0.0942916 0.443607i −0.999814 0.0193077i \(-0.993854\pi\)
0.905522 0.424299i \(-0.139480\pi\)
\(824\) 1.21506 + 11.5605i 0.0423286 + 0.402730i
\(825\) −3.40615 0.625712i −0.118587 0.0217845i
\(826\) 6.47526 + 1.37636i 0.225303 + 0.0478897i
\(827\) −4.25671 9.56073i −0.148020 0.332459i 0.824284 0.566176i \(-0.191578\pi\)
−0.972305 + 0.233717i \(0.924911\pi\)
\(828\) 4.41662 3.97674i 0.153488 0.138201i
\(829\) 1.68332 5.18074i 0.0584643 0.179935i −0.917559 0.397599i \(-0.869844\pi\)
0.976024 + 0.217664i \(0.0698437\pi\)
\(830\) 13.8878 + 13.5075i 0.482054 + 0.468852i
\(831\) 5.04605 + 8.74001i 0.175045 + 0.303188i
\(832\) 1.20860 + 0.697784i 0.0419006 + 0.0241913i
\(833\) 1.23867 0.402467i 0.0429172 0.0139447i
\(834\) −12.0456 5.36305i −0.417106 0.185707i
\(835\) 19.3907 + 15.2615i 0.671042 + 0.528145i
\(836\) −3.15284 −0.109043
\(837\) 4.30224 + 3.53422i 0.148707 + 0.122161i
\(838\) 13.6901i 0.472917i
\(839\) −3.10218 2.25387i −0.107099 0.0778122i 0.532947 0.846149i \(-0.321085\pi\)
−0.640046 + 0.768337i \(0.721085\pi\)
\(840\) −5.22025 2.56920i −0.180116 0.0886459i
\(841\) 14.8967 + 45.8475i 0.513681 + 1.58095i
\(842\) −11.7477 6.78254i −0.404853 0.233742i
\(843\) 12.2017 7.04464i 0.420248 0.242630i
\(844\) 2.34405 2.60333i 0.0806855 0.0896104i
\(845\) 23.1931 + 8.53553i 0.797868 + 0.293631i
\(846\) 8.70909 + 9.67242i 0.299425 + 0.332545i
\(847\) 11.1339 + 25.0071i 0.382564 + 0.859253i
\(848\) 0.122659 0.577063i 0.00421211 0.0198164i
\(849\) −0.960976 + 9.14307i −0.0329806 + 0.313789i
\(850\) −0.787221 28.3463i −0.0270014 0.972268i
\(851\) 63.7968 13.5604i 2.18693 0.464846i
\(852\) 5.14714 + 7.08443i 0.176338 + 0.242708i
\(853\) −13.4906 18.5682i −0.461910 0.635764i 0.512994 0.858392i \(-0.328536\pi\)
−0.974903 + 0.222628i \(0.928536\pi\)
\(854\) −36.1408 + 7.68197i −1.23671 + 0.262872i
\(855\) 10.1562 0.673757i 0.347336 0.0230420i
\(856\) 1.41794 13.4908i 0.0484642 0.461106i
\(857\) −1.46427 + 6.88886i −0.0500186 + 0.235319i −0.996055 0.0887426i \(-0.971715\pi\)
0.946036 + 0.324061i \(0.105048\pi\)
\(858\) −0.393156 0.883043i −0.0134221 0.0301466i
\(859\) −10.4000 11.5504i −0.354844 0.394094i 0.539123 0.842227i \(-0.318756\pi\)
−0.893967 + 0.448133i \(0.852089\pi\)
\(860\) −6.70047 + 18.2068i −0.228484 + 0.620847i
\(861\) −9.63585 + 10.7017i −0.328389 + 0.364713i
\(862\) 4.46807 2.57964i 0.152183 0.0878629i
\(863\) 28.9918 + 16.7384i 0.986892 + 0.569782i 0.904344 0.426805i \(-0.140361\pi\)
0.0825483 + 0.996587i \(0.473694\pi\)
\(864\) −0.309017 0.951057i −0.0105130 0.0323556i
\(865\) −7.41368 3.64872i −0.252073 0.124060i
\(866\) −28.3523 20.5991i −0.963449 0.699987i
\(867\) 15.1652i 0.515037i
\(868\) −14.3245 + 2.16572i −0.486204 + 0.0735094i
\(869\) −0.440035 −0.0149272
\(870\) −12.1516 + 15.4393i −0.411977 + 0.523443i
\(871\) 4.69249 + 2.08923i 0.158999 + 0.0707909i
\(872\) −7.93693 + 2.57887i −0.268778 + 0.0873314i
\(873\) −12.4508 7.18849i −0.421397 0.243294i
\(874\) −13.5266 23.4287i −0.457544 0.792489i
\(875\) −21.8262 + 19.2331i −0.737861 + 0.650196i
\(876\) 4.70341 14.4756i 0.158913 0.489085i
\(877\) 5.96895 5.37447i 0.201557 0.181483i −0.562171 0.827021i \(-0.690034\pi\)
0.763728 + 0.645538i \(0.223367\pi\)
\(878\) 4.09230 + 9.19146i 0.138108 + 0.310197i
\(879\) −15.9587 3.39212i −0.538273 0.114413i
\(880\) 1.53291 + 0.221022i 0.0516745 + 0.00745065i
\(881\) −3.84973 36.6278i −0.129701 1.23402i −0.844833 0.535031i \(-0.820300\pi\)
0.715132 0.698990i \(-0.246367\pi\)
\(882\) −0.0477456 0.224626i −0.00160768 0.00756353i
\(883\) 8.93378 + 12.2963i 0.300646 + 0.413803i 0.932435 0.361337i \(-0.117679\pi\)
−0.631790 + 0.775140i \(0.717679\pi\)
\(884\) 6.40327 4.65225i 0.215365 0.156472i
\(885\) 5.60601 0.967863i 0.188444 0.0325343i
\(886\) −2.24353 21.3458i −0.0753728 0.717125i
\(887\) 11.3420 + 1.19210i 0.380829 + 0.0400267i 0.293009 0.956110i \(-0.405343\pi\)
0.0878197 + 0.996136i \(0.472010\pi\)
\(888\) 2.28169 10.7345i 0.0765686 0.360227i
\(889\) −5.63617 + 2.50938i −0.189031 + 0.0841620i
\(890\) 8.42147 + 10.1094i 0.282288 + 0.338868i
\(891\) −0.214034 + 0.658729i −0.00717041 + 0.0220683i
\(892\) 4.87500 + 4.38947i 0.163227 + 0.146970i
\(893\) 51.3091 29.6233i 1.71699 0.991306i
\(894\) 10.7596 18.6361i 0.359853 0.623285i
\(895\) −41.8375 + 11.8352i −1.39847 + 0.395606i
\(896\) 2.37704 + 1.05833i 0.0794112 + 0.0353562i
\(897\) 4.87513 6.71004i 0.162776 0.224042i
\(898\) 2.41277i 0.0805152i
\(899\) −2.90359 + 48.8363i −0.0968402 + 1.62878i
\(900\) −4.98520 0.384397i −0.166173 0.0128132i
\(901\) −2.70688 1.96667i −0.0901794 0.0655191i
\(902\) 1.55915 3.50190i 0.0519140 0.116601i
\(903\) 21.4705 6.97620i 0.714495 0.232153i
\(904\) −2.80965 + 4.86646i −0.0934476 + 0.161856i
\(905\) −9.25140 + 4.87676i −0.307527 + 0.162109i
\(906\) 9.05023 10.0513i 0.300674 0.333932i
\(907\) −40.6395 13.2046i −1.34941 0.438451i −0.456918 0.889509i \(-0.651047\pi\)
−0.892495 + 0.451058i \(0.851047\pi\)
\(908\) 8.69464 7.82869i 0.288542 0.259804i
\(909\) 16.2101 7.21720i 0.537655 0.239379i
\(910\) −7.87147 1.99246i −0.260937 0.0660495i
\(911\) 2.17665 20.7094i 0.0721156 0.686134i −0.897419 0.441179i \(-0.854560\pi\)
0.969535 0.244955i \(-0.0787731\pi\)
\(912\) −4.52706 + 0.475813i −0.149906 + 0.0157557i
\(913\) 1.24767 + 5.86980i 0.0412917 + 0.194262i
\(914\) 10.0736 7.31891i 0.333206 0.242088i
\(915\) −26.3869 + 17.6614i −0.872325 + 0.583869i
\(916\) 10.1225 2.15160i 0.334457 0.0710910i
\(917\) 4.39854 0.462305i 0.145252 0.0152667i
\(918\) −5.64037 0.592827i −0.186160 0.0195662i
\(919\) −17.3529 3.68847i −0.572419 0.121671i −0.0873974 0.996174i \(-0.527855\pi\)
−0.485022 + 0.874502i \(0.661188\pi\)
\(920\) 4.93422 + 12.3393i 0.162676 + 0.406815i
\(921\) −22.0629 24.5034i −0.726999 0.807414i
\(922\) −22.2408 7.22647i −0.732461 0.237991i
\(923\) 9.08179 + 8.17728i 0.298931 + 0.269158i
\(924\) −0.901107 1.56076i −0.0296442 0.0513453i
\(925\) −45.2704 31.0080i −1.48848 1.01954i
\(926\) −8.93872 27.5106i −0.293745 0.904053i
\(927\) 4.72799 10.6192i 0.155288 0.348782i
\(928\) 5.16472 7.10863i 0.169540 0.233352i
\(929\) 29.1472 0.956289 0.478145 0.878281i \(-0.341309\pi\)
0.478145 + 0.878281i \(0.341309\pi\)
\(930\) −10.7390 + 6.29873i −0.352146 + 0.206543i
\(931\) −1.04534 −0.0342595
\(932\) −14.2912 + 19.6702i −0.468125 + 0.644319i
\(933\) 3.24287 7.28360i 0.106167 0.238454i
\(934\) −5.62377 17.3082i −0.184015 0.566341i
\(935\) 4.68124 7.43235i 0.153093 0.243064i
\(936\) −0.697784 1.20860i −0.0228078 0.0395042i
\(937\) 15.3614 + 13.8314i 0.501834 + 0.451853i 0.880752 0.473577i \(-0.157037\pi\)
−0.378919 + 0.925430i \(0.623704\pi\)
\(938\) 9.10824 + 2.95945i 0.297394 + 0.0966293i
\(939\) 12.8351 + 14.2549i 0.418859 + 0.465190i
\(940\) −27.0231 + 10.8060i −0.881398 + 0.352452i
\(941\) 35.3806 + 7.52038i 1.15338 + 0.245158i 0.744621 0.667487i \(-0.232630\pi\)
0.408754 + 0.912645i \(0.365963\pi\)
\(942\) 0.328516 + 0.0345284i 0.0107036 + 0.00112500i
\(943\) 32.7118 3.43815i 1.06524 0.111961i
\(944\) −2.48858 + 0.528964i −0.0809964 + 0.0172163i
\(945\) 3.23627 + 4.83512i 0.105276 + 0.157286i
\(946\) −4.86171 + 3.53224i −0.158068 + 0.114843i
\(947\) −3.86980 18.2060i −0.125751 0.591614i −0.995223 0.0976307i \(-0.968874\pi\)
0.869471 0.493984i \(-0.164460\pi\)
\(948\) −0.631831 + 0.0664081i −0.0205209 + 0.00215683i
\(949\) 2.22032 21.1249i 0.0720746 0.685744i
\(950\) −6.42959 + 21.8329i −0.208604 + 0.708354i
\(951\) 3.25853 1.45079i 0.105665 0.0470451i
\(952\) 10.9666 9.87438i 0.355430 0.320030i
\(953\) 1.10577 + 0.359287i 0.0358194 + 0.0116384i 0.326872 0.945069i \(-0.394005\pi\)
−0.291052 + 0.956707i \(0.594005\pi\)
\(954\) −0.394757 + 0.438422i −0.0127807 + 0.0141944i
\(955\) 12.2649 6.46530i 0.396884 0.209212i
\(956\) −6.31604 + 10.9397i −0.204275 + 0.353815i
\(957\) −5.78808 + 1.88066i −0.187102 + 0.0607932i
\(958\) 3.02749 6.79986i 0.0978138 0.219693i
\(959\) 11.1051 + 8.06835i 0.358604 + 0.260541i
\(960\) 2.23441 + 0.0860174i 0.0721154 + 0.00277620i
\(961\) −13.0055 + 28.1399i −0.419533 + 0.907740i
\(962\) 15.3154i 0.493789i
\(963\) −7.97338 + 10.9744i −0.256938 + 0.353645i
\(964\) 9.90814 + 4.41139i 0.319120 + 0.142081i
\(965\) −11.6654 41.2373i −0.375522 1.32748i
\(966\) 7.73201 13.3922i 0.248773 0.430888i
\(967\) −34.2286 + 19.7619i −1.10072 + 0.635500i −0.936409 0.350909i \(-0.885873\pi\)
−0.164308 + 0.986409i \(0.552539\pi\)
\(968\) −7.81808 7.03943i −0.251283 0.226256i
\(969\) −7.97769 + 24.5528i −0.256280 + 0.788750i
\(970\) 24.7004 20.5762i 0.793081 0.660662i
\(971\) −5.01871 + 2.23447i −0.161058 + 0.0717077i −0.485682 0.874135i \(-0.661429\pi\)
0.324624 + 0.945843i \(0.394762\pi\)
\(972\) −0.207912 + 0.978148i −0.00666877 + 0.0313741i
\(973\) −34.1208 3.58624i −1.09386 0.114970i
\(974\) 1.88395 + 17.9246i 0.0603658 + 0.574342i
\(975\) −6.91669 + 0.921751i −0.221511 + 0.0295197i
\(976\) 11.4880 8.34654i 0.367723 0.267166i
\(977\) 18.9259 + 26.0493i 0.605493 + 0.833390i 0.996197 0.0871265i \(-0.0277684\pi\)
−0.390704 + 0.920516i \(0.627768\pi\)
\(978\) −4.83479 22.7459i −0.154599 0.727333i
\(979\) 0.426016 + 4.05327i 0.0136155 + 0.129543i
\(980\) 0.508243 + 0.0732807i 0.0162352 + 0.00234087i
\(981\) 8.16302 + 1.73510i 0.260625 + 0.0553976i
\(982\) 7.58791 + 17.0427i 0.242140 + 0.543855i
\(983\) 38.7134 34.8577i 1.23477 1.11179i 0.244935 0.969540i \(-0.421233\pi\)
0.989831 0.142249i \(-0.0454333\pi\)
\(984\) 1.71024 5.26356i 0.0545203 0.167796i
\(985\) 12.2457 12.5906i 0.390182 0.401168i
\(986\) −24.9167 43.1570i −0.793510 1.37440i
\(987\) 29.3291 + 16.9331i 0.933554 + 0.538988i
\(988\) −6.04170 + 1.96307i −0.192212 + 0.0624535i
\(989\) −47.1061 20.9730i −1.49789 0.666903i
\(990\) −1.21703 0.957867i −0.0386798 0.0304430i
\(991\) −38.8085 −1.23279 −0.616396 0.787436i \(-0.711408\pi\)
−0.616396 + 0.787436i \(0.711408\pi\)
\(992\) 4.69071 2.99954i 0.148930 0.0952355i
\(993\) 1.71856i 0.0545367i
\(994\) 18.4336 + 13.3928i 0.584679 + 0.424794i
\(995\) −24.0515 + 48.8692i −0.762484 + 1.54926i
\(996\) 2.67732 + 8.23996i 0.0848343 + 0.261093i
\(997\) 41.6935 + 24.0717i 1.32045 + 0.762360i 0.983800 0.179272i \(-0.0573742\pi\)
0.336646 + 0.941631i \(0.390707\pi\)
\(998\) 11.9405 6.89383i 0.377969 0.218220i
\(999\) −7.34326 + 8.15552i −0.232331 + 0.258029i
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.bn.b.19.1 144
5.4 even 2 inner 930.2.bn.b.19.16 yes 144
31.18 even 15 inner 930.2.bn.b.49.16 yes 144
155.49 even 30 inner 930.2.bn.b.49.1 yes 144
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bn.b.19.1 144 1.1 even 1 trivial
930.2.bn.b.19.16 yes 144 5.4 even 2 inner
930.2.bn.b.49.1 yes 144 155.49 even 30 inner
930.2.bn.b.49.16 yes 144 31.18 even 15 inner