Properties

Label 300.2.w.a.223.15
Level $300$
Weight $2$
Character 300.223
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
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] = [300,2,Mod(67,300)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(300, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([10, 0, 13]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("300.67");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), 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: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 223.15
Character \(\chi\) \(=\) 300.223
Dual form 300.2.w.a.187.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.195497 - 1.40064i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-1.92356 + 0.547641i) q^{4} +(-2.17923 + 0.500947i) q^{5} +(1.15922 - 0.810065i) q^{6} +(0.974356 + 0.974356i) q^{7} +(1.14310 + 2.58715i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})\) \(q+(-0.195497 - 1.40064i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-1.92356 + 0.547641i) q^{4} +(-2.17923 + 0.500947i) q^{5} +(1.15922 - 0.810065i) q^{6} +(0.974356 + 0.974356i) q^{7} +(1.14310 + 2.58715i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(1.12768 + 2.95438i) q^{10} +(1.28653 + 1.77076i) q^{11} +(-1.36123 - 1.46528i) q^{12} +(0.471971 + 2.97991i) q^{13} +(1.17423 - 1.55520i) q^{14} +(-1.43570 - 1.71428i) q^{15} +(3.40018 - 2.10684i) q^{16} +(-0.167947 - 0.0855735i) q^{17} +(1.24805 + 0.665112i) q^{18} +(2.61894 + 8.06028i) q^{19} +(3.91755 - 2.15704i) q^{20} +(-0.425809 + 1.31051i) q^{21} +(2.22867 - 2.14814i) q^{22} +(-0.127074 + 0.802316i) q^{23} +(-1.78621 + 2.19305i) q^{24} +(4.49810 - 2.18336i) q^{25} +(4.08150 - 1.24362i) q^{26} +(-0.987688 - 0.156434i) q^{27} +(-2.40783 - 1.34064i) q^{28} +(-9.37232 - 3.04525i) q^{29} +(-2.12041 + 2.34603i) q^{30} +(-4.18430 + 1.35956i) q^{31} +(-3.61565 - 4.35053i) q^{32} +(-0.993683 + 1.95021i) q^{33} +(-0.0870241 + 0.251963i) q^{34} +(-2.61145 - 1.63525i) q^{35} +(0.687590 - 1.87809i) q^{36} +(6.96951 - 1.10386i) q^{37} +(10.7775 - 5.24395i) q^{38} +(-2.44085 + 1.77338i) q^{39} +(-3.78710 - 5.06536i) q^{40} +(-2.94227 - 2.13768i) q^{41} +(1.91879 + 0.340203i) q^{42} +(-1.86758 + 1.86758i) q^{43} +(-3.44446 - 2.70160i) q^{44} +(0.875646 - 2.05749i) q^{45} +(1.14859 + 0.0211343i) q^{46} +(5.26420 - 2.68224i) q^{47} +(3.42086 + 2.07309i) q^{48} -5.10126i q^{49} +(-3.93746 - 5.87336i) q^{50} -0.188492i q^{51} +(-2.53979 - 5.47357i) q^{52} +(6.90236 - 3.51693i) q^{53} +(-0.0260173 + 1.41397i) q^{54} +(-3.69070 - 3.21440i) q^{55} +(-1.40702 + 3.63459i) q^{56} +(-5.99278 + 5.99278i) q^{57} +(-2.43302 + 13.7225i) q^{58} +(4.74817 + 3.44975i) q^{59} +(3.70047 + 2.51128i) q^{60} +(-2.78978 + 2.02689i) q^{61} +(2.72227 + 5.59489i) q^{62} +(-1.36098 + 0.215559i) q^{63} +(-5.38666 + 5.91472i) q^{64} +(-2.52131 - 6.25748i) q^{65} +(2.92580 + 1.01053i) q^{66} +(3.24954 - 6.37758i) q^{67} +(0.369921 + 0.0726310i) q^{68} +(-0.772559 + 0.251020i) q^{69} +(-1.77985 + 3.97738i) q^{70} +(-9.69583 - 3.15037i) q^{71} +(-2.76494 - 0.595902i) q^{72} +(0.675143 + 0.106932i) q^{73} +(-2.90863 - 9.54595i) q^{74} +(3.98748 + 3.01661i) q^{75} +(-9.45184 - 14.0702i) q^{76} +(-0.471809 + 2.97889i) q^{77} +(2.96104 + 3.07205i) q^{78} +(-3.74116 + 11.5141i) q^{79} +(-6.35436 + 6.29461i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-2.41891 + 4.53896i) q^{82} +(6.86210 + 3.49641i) q^{83} +(0.101383 - 2.75403i) q^{84} +(0.408864 + 0.102352i) q^{85} +(2.98091 + 2.25069i) q^{86} +(-1.54160 - 9.73331i) q^{87} +(-3.11058 + 5.35259i) q^{88} +(4.99353 + 6.87300i) q^{89} +(-3.05297 - 0.824228i) q^{90} +(-2.44363 + 3.36336i) q^{91} +(-0.194946 - 1.61289i) q^{92} +(-3.11101 - 3.11101i) q^{93} +(-4.78598 - 6.84885i) q^{94} +(-9.74506 - 16.2533i) q^{95} +(2.23488 - 5.19666i) q^{96} +(5.10182 + 10.0129i) q^{97} +(-7.14501 + 0.997283i) q^{98} -2.18877 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 12 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{11}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.195497 1.40064i −0.138237 0.990399i
\(3\) 0.453990 + 0.891007i 0.262112 + 0.514423i
\(4\) −1.92356 + 0.547641i −0.961781 + 0.273821i
\(5\) −2.17923 + 0.500947i −0.974582 + 0.224030i
\(6\) 1.15922 0.810065i 0.473250 0.330708i
\(7\) 0.974356 + 0.974356i 0.368272 + 0.368272i 0.866847 0.498575i \(-0.166143\pi\)
−0.498575 + 0.866847i \(0.666143\pi\)
\(8\) 1.14310 + 2.58715i 0.404146 + 0.914695i
\(9\) −0.587785 + 0.809017i −0.195928 + 0.269672i
\(10\) 1.12768 + 2.95438i 0.356603 + 0.934256i
\(11\) 1.28653 + 1.77076i 0.387903 + 0.533903i 0.957657 0.287913i \(-0.0929613\pi\)
−0.569753 + 0.821816i \(0.692961\pi\)
\(12\) −1.36123 1.46528i −0.392953 0.422990i
\(13\) 0.471971 + 2.97991i 0.130901 + 0.826478i 0.962536 + 0.271155i \(0.0874056\pi\)
−0.831634 + 0.555324i \(0.812594\pi\)
\(14\) 1.17423 1.55520i 0.313827 0.415645i
\(15\) −1.43570 1.71428i −0.370696 0.442626i
\(16\) 3.40018 2.10684i 0.850045 0.526711i
\(17\) −0.167947 0.0855735i −0.0407332 0.0207546i 0.433505 0.901151i \(-0.357277\pi\)
−0.474239 + 0.880396i \(0.657277\pi\)
\(18\) 1.24805 + 0.665112i 0.294168 + 0.156769i
\(19\) 2.61894 + 8.06028i 0.600827 + 1.84915i 0.523271 + 0.852166i \(0.324712\pi\)
0.0775557 + 0.996988i \(0.475288\pi\)
\(20\) 3.91755 2.15704i 0.875990 0.482329i
\(21\) −0.425809 + 1.31051i −0.0929192 + 0.285976i
\(22\) 2.22867 2.14814i 0.475154 0.457984i
\(23\) −0.127074 + 0.802316i −0.0264968 + 0.167294i −0.997388 0.0722253i \(-0.976990\pi\)
0.970892 + 0.239520i \(0.0769900\pi\)
\(24\) −1.78621 + 2.19305i −0.364609 + 0.447654i
\(25\) 4.49810 2.18336i 0.899621 0.436672i
\(26\) 4.08150 1.24362i 0.800448 0.243895i
\(27\) −0.987688 0.156434i −0.190081 0.0301058i
\(28\) −2.40783 1.34064i −0.455037 0.253357i
\(29\) −9.37232 3.04525i −1.74040 0.565489i −0.745510 0.666495i \(-0.767794\pi\)
−0.994886 + 0.101006i \(0.967794\pi\)
\(30\) −2.12041 + 2.34603i −0.387133 + 0.428324i
\(31\) −4.18430 + 1.35956i −0.751523 + 0.244185i −0.659636 0.751585i \(-0.729290\pi\)
−0.0918864 + 0.995769i \(0.529290\pi\)
\(32\) −3.61565 4.35053i −0.639162 0.769072i
\(33\) −0.993683 + 1.95021i −0.172978 + 0.339488i
\(34\) −0.0870241 + 0.251963i −0.0149245 + 0.0432112i
\(35\) −2.61145 1.63525i −0.441416 0.276407i
\(36\) 0.687590 1.87809i 0.114598 0.313015i
\(37\) 6.96951 1.10386i 1.14578 0.181474i 0.445460 0.895302i \(-0.353040\pi\)
0.700321 + 0.713828i \(0.253040\pi\)
\(38\) 10.7775 5.24395i 1.74834 0.850681i
\(39\) −2.44085 + 1.77338i −0.390849 + 0.283968i
\(40\) −3.78710 5.06536i −0.598793 0.800904i
\(41\) −2.94227 2.13768i −0.459505 0.333850i 0.333832 0.942633i \(-0.391658\pi\)
−0.793337 + 0.608783i \(0.791658\pi\)
\(42\) 1.91879 + 0.340203i 0.296075 + 0.0524945i
\(43\) −1.86758 + 1.86758i −0.284803 + 0.284803i −0.835021 0.550218i \(-0.814545\pi\)
0.550218 + 0.835021i \(0.314545\pi\)
\(44\) −3.44446 2.70160i −0.519272 0.407282i
\(45\) 0.875646 2.05749i 0.130534 0.306712i
\(46\) 1.14859 + 0.0211343i 0.169351 + 0.00311608i
\(47\) 5.26420 2.68224i 0.767862 0.391245i −0.0257506 0.999668i \(-0.508198\pi\)
0.793613 + 0.608423i \(0.208198\pi\)
\(48\) 3.42086 + 2.07309i 0.493759 + 0.299225i
\(49\) 5.10126i 0.728751i
\(50\) −3.93746 5.87336i −0.556841 0.830619i
\(51\) 0.188492i 0.0263941i
\(52\) −2.53979 5.47357i −0.352205 0.759048i
\(53\) 6.90236 3.51693i 0.948112 0.483087i 0.0896554 0.995973i \(-0.471423\pi\)
0.858457 + 0.512885i \(0.171423\pi\)
\(54\) −0.0260173 + 1.41397i −0.00354051 + 0.192418i
\(55\) −3.69070 3.21440i −0.497654 0.433430i
\(56\) −1.40702 + 3.63459i −0.188021 + 0.485692i
\(57\) −5.99278 + 5.99278i −0.793764 + 0.793764i
\(58\) −2.43302 + 13.7225i −0.319472 + 1.80186i
\(59\) 4.74817 + 3.44975i 0.618159 + 0.449119i 0.852278 0.523089i \(-0.175220\pi\)
−0.234119 + 0.972208i \(0.575220\pi\)
\(60\) 3.70047 + 2.51128i 0.477728 + 0.324205i
\(61\) −2.78978 + 2.02689i −0.357195 + 0.259517i −0.751881 0.659299i \(-0.770853\pi\)
0.394686 + 0.918816i \(0.370853\pi\)
\(62\) 2.72227 + 5.59489i 0.345729 + 0.710552i
\(63\) −1.36098 + 0.215559i −0.171468 + 0.0271578i
\(64\) −5.38666 + 5.91472i −0.673332 + 0.739340i
\(65\) −2.52131 6.25748i −0.312730 0.776145i
\(66\) 2.92580 + 1.01053i 0.360141 + 0.124387i
\(67\) 3.24954 6.37758i 0.396994 0.779145i −0.602830 0.797869i \(-0.705960\pi\)
0.999825 + 0.0187240i \(0.00596039\pi\)
\(68\) 0.369921 + 0.0726310i 0.0448595 + 0.00880780i
\(69\) −0.772559 + 0.251020i −0.0930052 + 0.0302192i
\(70\) −1.77985 + 3.97738i −0.212733 + 0.475387i
\(71\) −9.69583 3.15037i −1.15068 0.373880i −0.329283 0.944231i \(-0.606807\pi\)
−0.821401 + 0.570352i \(0.806807\pi\)
\(72\) −2.76494 0.595902i −0.325851 0.0702277i
\(73\) 0.675143 + 0.106932i 0.0790195 + 0.0125155i 0.195819 0.980640i \(-0.437263\pi\)
−0.116800 + 0.993156i \(0.537263\pi\)
\(74\) −2.90863 9.54595i −0.338121 1.10969i
\(75\) 3.98748 + 3.01661i 0.460435 + 0.348329i
\(76\) −9.45184 14.0702i −1.08420 1.61396i
\(77\) −0.471809 + 2.97889i −0.0537676 + 0.339476i
\(78\) 2.96104 + 3.07205i 0.335272 + 0.347841i
\(79\) −3.74116 + 11.5141i −0.420913 + 1.29544i 0.485940 + 0.873992i \(0.338477\pi\)
−0.906853 + 0.421446i \(0.861523\pi\)
\(80\) −6.35436 + 6.29461i −0.710439 + 0.703759i
\(81\) −0.309017 0.951057i −0.0343352 0.105673i
\(82\) −2.41891 + 4.53896i −0.267124 + 0.501244i
\(83\) 6.86210 + 3.49641i 0.753213 + 0.383781i 0.788050 0.615612i \(-0.211091\pi\)
−0.0348365 + 0.999393i \(0.511091\pi\)
\(84\) 0.101383 2.75403i 0.0110618 0.300489i
\(85\) 0.408864 + 0.102352i 0.0443476 + 0.0111016i
\(86\) 2.98091 + 2.25069i 0.321439 + 0.242698i
\(87\) −1.54160 9.73331i −0.165277 1.04352i
\(88\) −3.11058 + 5.35259i −0.331589 + 0.570588i
\(89\) 4.99353 + 6.87300i 0.529313 + 0.728536i 0.987025 0.160564i \(-0.0513312\pi\)
−0.457713 + 0.889100i \(0.651331\pi\)
\(90\) −3.05297 0.824228i −0.321812 0.0868812i
\(91\) −2.44363 + 3.36336i −0.256162 + 0.352576i
\(92\) −0.194946 1.61289i −0.0203245 0.168156i
\(93\) −3.11101 3.11101i −0.322597 0.322597i
\(94\) −4.78598 6.84885i −0.493636 0.706405i
\(95\) −9.74506 16.2533i −0.999822 1.66755i
\(96\) 2.23488 5.19666i 0.228097 0.530382i
\(97\) 5.10182 + 10.0129i 0.518012 + 1.01665i 0.990782 + 0.135469i \(0.0432541\pi\)
−0.472770 + 0.881186i \(0.656746\pi\)
\(98\) −7.14501 + 0.997283i −0.721755 + 0.100741i
\(99\) −2.18877 −0.219980
\(100\) −7.45668 + 6.66317i −0.745668 + 0.666317i
\(101\) 1.67080 0.166251 0.0831254 0.996539i \(-0.473510\pi\)
0.0831254 + 0.996539i \(0.473510\pi\)
\(102\) −0.264008 + 0.0368497i −0.0261407 + 0.00364866i
\(103\) −8.43482 16.5543i −0.831107 1.63114i −0.774355 0.632752i \(-0.781925\pi\)
−0.0567528 0.998388i \(-0.518075\pi\)
\(104\) −7.16996 + 4.62739i −0.703072 + 0.453753i
\(105\) 0.271443 3.06921i 0.0264901 0.299524i
\(106\) −6.27533 8.98015i −0.609514 0.872229i
\(107\) 9.55038 + 9.55038i 0.923270 + 0.923270i 0.997259 0.0739892i \(-0.0235730\pi\)
−0.0739892 + 0.997259i \(0.523573\pi\)
\(108\) 1.98555 0.239987i 0.191060 0.0230928i
\(109\) 4.83533 6.65526i 0.463140 0.637458i −0.512016 0.858976i \(-0.671101\pi\)
0.975156 + 0.221518i \(0.0711011\pi\)
\(110\) −3.78069 + 5.79774i −0.360474 + 0.552792i
\(111\) 4.14764 + 5.70874i 0.393677 + 0.541849i
\(112\) 5.36580 + 1.26017i 0.507021 + 0.119075i
\(113\) −0.707497 4.46696i −0.0665558 0.420216i −0.998360 0.0572543i \(-0.981765\pi\)
0.931804 0.362962i \(-0.118235\pi\)
\(114\) 9.56528 + 7.22214i 0.895871 + 0.676415i
\(115\) −0.124993 1.81209i −0.0116557 0.168978i
\(116\) 19.6959 + 0.725060i 1.82872 + 0.0673202i
\(117\) −2.68822 1.36971i −0.248526 0.126630i
\(118\) 3.90359 7.32488i 0.359354 0.674310i
\(119\) −0.0802616 0.247020i −0.00735757 0.0226443i
\(120\) 2.79396 5.67395i 0.255053 0.517959i
\(121\) 1.91877 5.90536i 0.174433 0.536851i
\(122\) 3.38434 + 3.51121i 0.306403 + 0.317890i
\(123\) 0.568928 3.59207i 0.0512985 0.323886i
\(124\) 7.30421 4.90670i 0.655937 0.440634i
\(125\) −8.70866 + 7.01136i −0.778927 + 0.627115i
\(126\) 0.567988 + 1.86410i 0.0506004 + 0.166067i
\(127\) 19.0138 + 3.01149i 1.68720 + 0.267227i 0.924960 0.380063i \(-0.124098\pi\)
0.762244 + 0.647290i \(0.224098\pi\)
\(128\) 9.33745 + 6.38844i 0.825321 + 0.564663i
\(129\) −2.51189 0.816162i −0.221159 0.0718591i
\(130\) −8.27155 + 4.75476i −0.725463 + 0.417020i
\(131\) −7.36328 + 2.39248i −0.643333 + 0.209032i −0.612472 0.790492i \(-0.709825\pi\)
−0.0308607 + 0.999524i \(0.509825\pi\)
\(132\) 0.843394 4.29554i 0.0734080 0.373878i
\(133\) −5.30180 + 10.4054i −0.459724 + 0.902260i
\(134\) −9.56794 3.30462i −0.826544 0.285476i
\(135\) 2.23077 0.153873i 0.191994 0.0132433i
\(136\) 0.0294110 0.532324i 0.00252197 0.0456464i
\(137\) 14.8459 2.35135i 1.26837 0.200890i 0.514257 0.857636i \(-0.328068\pi\)
0.754111 + 0.656746i \(0.228068\pi\)
\(138\) 0.502620 + 1.03300i 0.0427859 + 0.0879348i
\(139\) 16.4145 11.9259i 1.39226 1.01154i 0.396651 0.917969i \(-0.370172\pi\)
0.995613 0.0935694i \(-0.0298277\pi\)
\(140\) 5.91881 + 1.71536i 0.500231 + 0.144975i
\(141\) 4.77979 + 3.47272i 0.402531 + 0.292456i
\(142\) −2.51701 + 14.1962i −0.211223 + 1.19132i
\(143\) −4.66949 + 4.66949i −0.390482 + 0.390482i
\(144\) −0.294103 + 3.98917i −0.0245086 + 0.332431i
\(145\) 21.9500 + 1.94127i 1.82284 + 0.161214i
\(146\) 0.0177843 0.966534i 0.00147184 0.0799909i
\(147\) 4.54526 2.31592i 0.374886 0.191014i
\(148\) −12.8018 + 5.94014i −1.05230 + 0.488276i
\(149\) 20.4193i 1.67282i 0.548107 + 0.836408i \(0.315349\pi\)
−0.548107 + 0.836408i \(0.684651\pi\)
\(150\) 3.44564 6.17475i 0.281335 0.504167i
\(151\) 17.8614i 1.45354i −0.686880 0.726771i \(-0.741020\pi\)
0.686880 0.726771i \(-0.258980\pi\)
\(152\) −17.8594 + 15.9893i −1.44859 + 1.29690i
\(153\) 0.167947 0.0855735i 0.0135777 0.00691821i
\(154\) 4.26457 + 0.0784686i 0.343649 + 0.00632318i
\(155\) 8.43749 5.05891i 0.677716 0.406342i
\(156\) 3.72395 4.74792i 0.298154 0.380138i
\(157\) −1.27991 + 1.27991i −0.102148 + 0.102148i −0.756334 0.654186i \(-0.773011\pi\)
0.654186 + 0.756334i \(0.273011\pi\)
\(158\) 16.8585 + 2.98903i 1.34119 + 0.237794i
\(159\) 6.26721 + 4.55340i 0.497022 + 0.361108i
\(160\) 10.0587 + 7.66957i 0.795211 + 0.606332i
\(161\) −0.905557 + 0.657926i −0.0713679 + 0.0518518i
\(162\) −1.27167 + 0.618749i −0.0999120 + 0.0486135i
\(163\) −9.66822 + 1.53130i −0.757273 + 0.119940i −0.523120 0.852259i \(-0.675232\pi\)
−0.234154 + 0.972200i \(0.575232\pi\)
\(164\) 6.83032 + 2.50066i 0.533358 + 0.195269i
\(165\) 1.18851 4.74775i 0.0925255 0.369612i
\(166\) 3.55568 10.2948i 0.275974 0.799034i
\(167\) 6.71747 13.1838i 0.519813 1.02019i −0.470638 0.882326i \(-0.655976\pi\)
0.990451 0.137864i \(-0.0440238\pi\)
\(168\) −3.87721 + 0.396404i −0.299134 + 0.0305833i
\(169\) 3.70663 1.20436i 0.285125 0.0926428i
\(170\) 0.0634256 0.592680i 0.00486452 0.0454564i
\(171\) −8.06028 2.61894i −0.616385 0.200276i
\(172\) 2.56964 4.61517i 0.195933 0.351903i
\(173\) 2.86441 + 0.453678i 0.217777 + 0.0344925i 0.264370 0.964421i \(-0.414836\pi\)
−0.0465922 + 0.998914i \(0.514836\pi\)
\(174\) −13.3314 + 4.06206i −1.01065 + 0.307944i
\(175\) 6.51013 + 2.25538i 0.492119 + 0.170491i
\(176\) 8.10513 + 3.31037i 0.610948 + 0.249529i
\(177\) −0.918124 + 5.79681i −0.0690104 + 0.435715i
\(178\) 8.65035 8.33776i 0.648371 0.624942i
\(179\) 0.399586 1.22980i 0.0298664 0.0919194i −0.935012 0.354616i \(-0.884612\pi\)
0.964879 + 0.262696i \(0.0846117\pi\)
\(180\) −0.557595 + 4.43724i −0.0415607 + 0.330732i
\(181\) −4.28796 13.1970i −0.318722 0.980924i −0.974195 0.225706i \(-0.927531\pi\)
0.655474 0.755218i \(-0.272469\pi\)
\(182\) 5.18857 + 2.76510i 0.384602 + 0.204963i
\(183\) −3.07251 1.56552i −0.227126 0.115727i
\(184\) −2.22097 + 0.588365i −0.163732 + 0.0433748i
\(185\) −14.6352 + 5.89693i −1.07600 + 0.433551i
\(186\) −3.74920 + 4.96559i −0.274905 + 0.364095i
\(187\) −0.0645396 0.407487i −0.00471960 0.0297984i
\(188\) −8.65710 + 8.04235i −0.631384 + 0.586549i
\(189\) −0.809937 1.11478i −0.0589143 0.0810885i
\(190\) −20.8598 + 16.8267i −1.51333 + 1.22074i
\(191\) −1.31871 + 1.81505i −0.0954185 + 0.131332i −0.854057 0.520180i \(-0.825865\pi\)
0.758638 + 0.651512i \(0.225865\pi\)
\(192\) −7.71555 2.11432i −0.556822 0.152588i
\(193\) −15.1457 15.1457i −1.09021 1.09021i −0.995505 0.0947077i \(-0.969808\pi\)
−0.0947077 0.995505i \(-0.530192\pi\)
\(194\) 13.0270 9.10329i 0.935286 0.653578i
\(195\) 4.43081 5.08734i 0.317297 0.364312i
\(196\) 2.79366 + 9.81259i 0.199547 + 0.700899i
\(197\) −6.47675 12.7113i −0.461449 0.905645i −0.998087 0.0618319i \(-0.980306\pi\)
0.536638 0.843813i \(-0.319694\pi\)
\(198\) 0.427900 + 3.06568i 0.0304095 + 0.217868i
\(199\) 5.50425 0.390186 0.195093 0.980785i \(-0.437499\pi\)
0.195093 + 0.980785i \(0.437499\pi\)
\(200\) 10.7904 + 9.14146i 0.763000 + 0.646399i
\(201\) 7.15773 0.504867
\(202\) −0.326637 2.34018i −0.0229821 0.164655i
\(203\) −6.16482 12.0991i −0.432685 0.849193i
\(204\) 0.103226 + 0.362576i 0.00722726 + 0.0253854i
\(205\) 7.48275 + 3.18459i 0.522618 + 0.222421i
\(206\) −21.5375 + 15.0504i −1.50059 + 1.04861i
\(207\) −0.574395 0.574395i −0.0399232 0.0399232i
\(208\) 7.88299 + 9.13786i 0.546587 + 0.633596i
\(209\) −10.9034 + 15.0073i −0.754207 + 1.03808i
\(210\) −4.35191 + 0.219829i −0.300310 + 0.0151696i
\(211\) 15.8905 + 21.8715i 1.09395 + 1.50569i 0.843169 + 0.537649i \(0.180688\pi\)
0.250781 + 0.968044i \(0.419312\pi\)
\(212\) −11.3511 + 10.5450i −0.779597 + 0.724237i
\(213\) −1.59482 10.0693i −0.109275 0.689936i
\(214\) 11.5095 15.2437i 0.786775 1.04204i
\(215\) 3.13433 5.00545i 0.213760 0.341369i
\(216\) −0.724305 2.73411i −0.0492827 0.186033i
\(217\) −5.40170 2.75230i −0.366691 0.186838i
\(218\) −10.2669 5.47145i −0.695361 0.370573i
\(219\) 0.211231 + 0.650103i 0.0142737 + 0.0439299i
\(220\) 8.85963 + 4.16193i 0.597316 + 0.280597i
\(221\) 0.175735 0.540857i 0.0118212 0.0363820i
\(222\) 7.18501 6.92538i 0.482226 0.464801i
\(223\) −2.29154 + 14.4682i −0.153453 + 0.968862i 0.784003 + 0.620757i \(0.213175\pi\)
−0.937456 + 0.348105i \(0.886825\pi\)
\(224\) 0.716039 7.76189i 0.0478424 0.518613i
\(225\) −0.877543 + 4.92239i −0.0585029 + 0.328159i
\(226\) −6.11827 + 1.86423i −0.406982 + 0.124006i
\(227\) 1.09529 + 0.173477i 0.0726971 + 0.0115141i 0.192677 0.981262i \(-0.438283\pi\)
−0.119980 + 0.992776i \(0.538283\pi\)
\(228\) 8.24559 14.8094i 0.546078 0.980775i
\(229\) −8.19638 2.66316i −0.541632 0.175987i 0.0254081 0.999677i \(-0.491911\pi\)
−0.567040 + 0.823690i \(0.691911\pi\)
\(230\) −2.51364 + 0.529329i −0.165745 + 0.0349029i
\(231\) −2.86840 + 0.932001i −0.188727 + 0.0613211i
\(232\) −2.83496 27.7286i −0.186124 1.82047i
\(233\) 4.55764 8.94488i 0.298581 0.585999i −0.692163 0.721741i \(-0.743342\pi\)
0.990744 + 0.135743i \(0.0433420\pi\)
\(234\) −1.39293 + 4.03299i −0.0910588 + 0.263645i
\(235\) −10.1282 + 8.48232i −0.660694 + 0.553325i
\(236\) −11.0226 4.03551i −0.717512 0.262689i
\(237\) −11.9576 + 1.89390i −0.776729 + 0.123022i
\(238\) −0.330294 + 0.160709i −0.0214098 + 0.0104172i
\(239\) −15.6437 + 11.3658i −1.01191 + 0.735196i −0.964609 0.263685i \(-0.915062\pi\)
−0.0473011 + 0.998881i \(0.515062\pi\)
\(240\) −8.49336 2.80408i −0.548244 0.181003i
\(241\) 7.26740 + 5.28007i 0.468134 + 0.340119i 0.796714 0.604357i \(-0.206570\pi\)
−0.328579 + 0.944476i \(0.606570\pi\)
\(242\) −8.64638 1.53301i −0.555810 0.0985458i
\(243\) 0.707107 0.707107i 0.0453609 0.0453609i
\(244\) 4.25630 5.42665i 0.272482 0.347406i
\(245\) 2.55546 + 11.1168i 0.163262 + 0.710228i
\(246\) −5.14240 0.0946208i −0.327868 0.00603280i
\(247\) −22.7828 + 11.6084i −1.44964 + 0.738627i
\(248\) −8.30045 9.27129i −0.527079 0.588728i
\(249\) 7.70151i 0.488063i
\(250\) 11.5229 + 10.8270i 0.728771 + 0.684757i
\(251\) 17.7746i 1.12192i 0.827842 + 0.560962i \(0.189569\pi\)
−0.827842 + 0.560962i \(0.810431\pi\)
\(252\) 2.49989 1.15997i 0.157478 0.0730713i
\(253\) −1.58419 + 0.807185i −0.0995972 + 0.0507473i
\(254\) 0.500855 27.2202i 0.0314264 1.70795i
\(255\) 0.0944245 + 0.410767i 0.00591309 + 0.0257233i
\(256\) 7.12243 14.3273i 0.445152 0.895455i
\(257\) 0.448221 0.448221i 0.0279592 0.0279592i −0.692989 0.720948i \(-0.743707\pi\)
0.720948 + 0.692989i \(0.243707\pi\)
\(258\) −0.652078 + 3.67780i −0.0405966 + 0.228970i
\(259\) 7.86634 + 5.71523i 0.488791 + 0.355127i
\(260\) 8.27676 + 10.6559i 0.513303 + 0.660850i
\(261\) 7.97257 5.79241i 0.493490 0.358541i
\(262\) 4.79049 + 9.84555i 0.295957 + 0.608260i
\(263\) −21.5564 + 3.41419i −1.32922 + 0.210528i −0.780332 0.625366i \(-0.784950\pi\)
−0.548891 + 0.835894i \(0.684950\pi\)
\(264\) −6.18136 0.341522i −0.380437 0.0210192i
\(265\) −13.2801 + 11.1219i −0.815787 + 0.683214i
\(266\) 15.6106 + 5.39167i 0.957148 + 0.330584i
\(267\) −3.85687 + 7.56954i −0.236037 + 0.463248i
\(268\) −2.75806 + 14.0473i −0.168476 + 0.858072i
\(269\) 14.0180 4.55472i 0.854692 0.277706i 0.151282 0.988491i \(-0.451660\pi\)
0.703410 + 0.710784i \(0.251660\pi\)
\(270\) −0.651629 3.09441i −0.0396569 0.188320i
\(271\) −9.30765 3.02424i −0.565399 0.183709i 0.0123498 0.999924i \(-0.496069\pi\)
−0.577749 + 0.816214i \(0.696069\pi\)
\(272\) −0.751341 + 0.0628737i −0.0455568 + 0.00381228i
\(273\) −4.10616 0.650352i −0.248516 0.0393611i
\(274\) −6.19572 20.3340i −0.374297 1.22842i
\(275\) 9.65314 + 5.15609i 0.582106 + 0.310924i
\(276\) 1.34860 0.905937i 0.0811760 0.0545310i
\(277\) 0.314621 1.98644i 0.0189038 0.119354i −0.976432 0.215826i \(-0.930756\pi\)
0.995336 + 0.0964718i \(0.0307558\pi\)
\(278\) −19.9128 20.6593i −1.19429 1.23906i
\(279\) 1.35956 4.18430i 0.0813948 0.250508i
\(280\) 1.24549 8.62545i 0.0744320 0.515469i
\(281\) −6.76190 20.8110i −0.403381 1.24148i −0.922240 0.386619i \(-0.873643\pi\)
0.518859 0.854860i \(-0.326357\pi\)
\(282\) 3.92958 7.37366i 0.234003 0.439095i
\(283\) −9.36168 4.77002i −0.556494 0.283548i 0.153039 0.988220i \(-0.451094\pi\)
−0.709533 + 0.704672i \(0.751094\pi\)
\(284\) 20.3758 + 0.750088i 1.20908 + 0.0445096i
\(285\) 10.0576 16.0617i 0.595761 0.951415i
\(286\) 7.45313 + 5.62738i 0.440713 + 0.332754i
\(287\) −0.783953 4.94968i −0.0462753 0.292171i
\(288\) 5.64488 0.367941i 0.332627 0.0216812i
\(289\) −9.97147 13.7245i −0.586557 0.807326i
\(290\) −1.57215 31.1234i −0.0923195 1.82763i
\(291\) −6.60537 + 9.09151i −0.387214 + 0.532954i
\(292\) −1.35724 + 0.164045i −0.0794264 + 0.00960003i
\(293\) 22.7257 + 22.7257i 1.32765 + 1.32765i 0.907418 + 0.420229i \(0.138050\pi\)
0.420229 + 0.907418i \(0.361950\pi\)
\(294\) −4.13235 5.91349i −0.241004 0.344882i
\(295\) −12.0755 5.13922i −0.703064 0.299217i
\(296\) 10.8227 + 16.7693i 0.629056 + 0.974698i
\(297\) −0.993683 1.95021i −0.0576593 0.113163i
\(298\) 28.6000 3.99192i 1.65676 0.231246i
\(299\) −2.45080 −0.141734
\(300\) −9.32219 3.61893i −0.538217 0.208939i
\(301\) −3.63938 −0.209770
\(302\) −25.0173 + 3.49186i −1.43959 + 0.200934i
\(303\) 0.758528 + 1.48869i 0.0435763 + 0.0855232i
\(304\) 25.8866 + 21.8887i 1.48470 + 1.25540i
\(305\) 5.06421 5.81461i 0.289976 0.332943i
\(306\) −0.152691 0.218504i −0.00872874 0.0124910i
\(307\) 3.82428 + 3.82428i 0.218263 + 0.218263i 0.807766 0.589503i \(-0.200676\pi\)
−0.589503 + 0.807766i \(0.700676\pi\)
\(308\) −0.723806 5.98845i −0.0412427 0.341224i
\(309\) 10.9206 15.0310i 0.621253 0.855081i
\(310\) −8.73521 10.8289i −0.496126 0.615038i
\(311\) 11.8348 + 16.2892i 0.671089 + 0.923675i 0.999784 0.0207612i \(-0.00660896\pi\)
−0.328695 + 0.944436i \(0.606609\pi\)
\(312\) −7.37812 4.28769i −0.417704 0.242743i
\(313\) 0.968574 + 6.11533i 0.0547470 + 0.345659i 0.999823 + 0.0188087i \(0.00598733\pi\)
−0.945076 + 0.326850i \(0.894013\pi\)
\(314\) 2.04291 + 1.54247i 0.115288 + 0.0870468i
\(315\) 2.85791 1.15153i 0.161025 0.0648815i
\(316\) 0.890754 24.1969i 0.0501088 1.36118i
\(317\) −5.38815 2.74540i −0.302629 0.154197i 0.296082 0.955163i \(-0.404320\pi\)
−0.598710 + 0.800966i \(0.704320\pi\)
\(318\) 5.15243 9.66826i 0.288934 0.542169i
\(319\) −6.66537 20.5139i −0.373189 1.14856i
\(320\) 8.77582 15.5880i 0.490583 0.871394i
\(321\) −4.17367 + 12.8452i −0.232951 + 0.716951i
\(322\) 1.09855 + 1.13973i 0.0612197 + 0.0635148i
\(323\) 0.249901 1.57782i 0.0139049 0.0877920i
\(324\) 1.11525 + 1.66019i 0.0619584 + 0.0922325i
\(325\) 8.62919 + 12.3735i 0.478662 + 0.686356i
\(326\) 4.03490 + 13.2423i 0.223472 + 0.733423i
\(327\) 8.12507 + 1.28688i 0.449317 + 0.0711649i
\(328\) 2.16720 10.0557i 0.119664 0.555231i
\(329\) 7.74267 + 2.51574i 0.426867 + 0.138697i
\(330\) −6.88222 0.736501i −0.378854 0.0405430i
\(331\) 0.774938 0.251793i 0.0425945 0.0138398i −0.287642 0.957738i \(-0.592871\pi\)
0.330237 + 0.943898i \(0.392871\pi\)
\(332\) −15.1144 2.96760i −0.829513 0.162868i
\(333\) −3.20353 + 6.28729i −0.175553 + 0.344541i
\(334\) −19.7789 6.83133i −1.08225 0.373794i
\(335\) −3.88667 + 15.5261i −0.212351 + 0.848280i
\(336\) 1.31320 + 5.35307i 0.0716411 + 0.292034i
\(337\) −1.01821 + 0.161269i −0.0554654 + 0.00878486i −0.184105 0.982906i \(-0.558939\pi\)
0.128640 + 0.991691i \(0.458939\pi\)
\(338\) −2.41150 4.95619i −0.131168 0.269581i
\(339\) 3.65890 2.65834i 0.198724 0.144381i
\(340\) −0.842528 + 0.0270311i −0.0456925 + 0.00146597i
\(341\) −7.79068 5.66026i −0.421889 0.306520i
\(342\) −2.09242 + 11.8015i −0.113145 + 0.638153i
\(343\) 11.7909 11.7909i 0.636651 0.636651i
\(344\) −6.96653 2.69688i −0.375610 0.145406i
\(345\) 1.55784 0.934041i 0.0838712 0.0502871i
\(346\) 0.0754532 4.10069i 0.00405639 0.220455i
\(347\) −31.3056 + 15.9510i −1.68057 + 0.856294i −0.689297 + 0.724479i \(0.742081\pi\)
−0.991274 + 0.131815i \(0.957919\pi\)
\(348\) 8.29573 + 17.8784i 0.444698 + 0.958381i
\(349\) 18.9424i 1.01396i −0.861957 0.506981i \(-0.830761\pi\)
0.861957 0.506981i \(-0.169239\pi\)
\(350\) 1.88626 9.55924i 0.100825 0.510963i
\(351\) 3.01706i 0.161038i
\(352\) 3.05209 11.9995i 0.162677 0.639576i
\(353\) 26.9775 13.7457i 1.43587 0.731611i 0.449059 0.893502i \(-0.351759\pi\)
0.986809 + 0.161891i \(0.0517594\pi\)
\(354\) 8.29871 + 0.152697i 0.441071 + 0.00811576i
\(355\) 22.7076 + 2.00828i 1.20520 + 0.106588i
\(356\) −13.3693 10.4860i −0.708571 0.555756i
\(357\) 0.183658 0.183658i 0.00972022 0.00972022i
\(358\) −1.80062 0.319252i −0.0951656 0.0168730i
\(359\) −8.61378 6.25828i −0.454618 0.330299i 0.336798 0.941577i \(-0.390656\pi\)
−0.791416 + 0.611278i \(0.790656\pi\)
\(360\) 6.32396 0.0864810i 0.333302 0.00455795i
\(361\) −42.7379 + 31.0509i −2.24936 + 1.63426i
\(362\) −17.6459 + 8.58584i −0.927447 + 0.451262i
\(363\) 6.13282 0.971343i 0.321889 0.0509823i
\(364\) 2.85855 7.80787i 0.149829 0.409243i
\(365\) −1.52486 + 0.105181i −0.0798148 + 0.00550542i
\(366\) −1.59206 + 4.60952i −0.0832183 + 0.240944i
\(367\) −3.96574 + 7.78320i −0.207010 + 0.406280i −0.971046 0.238894i \(-0.923215\pi\)
0.764036 + 0.645174i \(0.223215\pi\)
\(368\) 1.25828 + 2.99574i 0.0655923 + 0.156164i
\(369\) 3.45884 1.12385i 0.180060 0.0585051i
\(370\) 11.1206 + 19.3458i 0.578132 + 1.00574i
\(371\) 10.1521 + 3.29862i 0.527071 + 0.171256i
\(372\) 7.68794 + 4.28050i 0.398601 + 0.221934i
\(373\) −17.7640 2.81354i −0.919785 0.145680i −0.321451 0.946926i \(-0.604170\pi\)
−0.598334 + 0.801247i \(0.704170\pi\)
\(374\) −0.558123 + 0.170059i −0.0288599 + 0.00879354i
\(375\) −10.2008 4.57638i −0.526768 0.236323i
\(376\) 12.9568 + 10.5532i 0.668198 + 0.544239i
\(377\) 4.65111 29.3659i 0.239544 1.51242i
\(378\) −1.40306 + 1.35236i −0.0721659 + 0.0695581i
\(379\) 0.0886478 0.272830i 0.00455353 0.0140143i −0.948754 0.316016i \(-0.897655\pi\)
0.953307 + 0.302001i \(0.0976547\pi\)
\(380\) 27.6462 + 25.9274i 1.41822 + 1.33005i
\(381\) 5.94883 + 18.3086i 0.304768 + 0.937980i
\(382\) 2.80003 + 1.49219i 0.143262 + 0.0763473i
\(383\) 24.1410 + 12.3004i 1.23355 + 0.628524i 0.944412 0.328765i \(-0.106632\pi\)
0.289135 + 0.957288i \(0.406632\pi\)
\(384\) −1.45303 + 11.2200i −0.0741494 + 0.572569i
\(385\) −0.464083 6.72803i −0.0236519 0.342892i
\(386\) −18.2527 + 24.1746i −0.929038 + 1.23045i
\(387\) −0.413168 2.60864i −0.0210025 0.132605i
\(388\) −15.2971 16.4664i −0.776595 0.835957i
\(389\) 14.2557 + 19.6212i 0.722790 + 0.994835i 0.999427 + 0.0338608i \(0.0107803\pi\)
−0.276636 + 0.960975i \(0.589220\pi\)
\(390\) −7.99173 5.21138i −0.404677 0.263889i
\(391\) 0.0899988 0.123873i 0.00455143 0.00626451i
\(392\) 13.1977 5.83123i 0.666585 0.294522i
\(393\) −5.47457 5.47457i −0.276156 0.276156i
\(394\) −16.5378 + 11.5566i −0.833160 + 0.582213i
\(395\) 2.38490 26.9660i 0.119997 1.35681i
\(396\) 4.21024 1.19866i 0.211573 0.0602351i
\(397\) −3.70159 7.26479i −0.185778 0.364609i 0.779268 0.626691i \(-0.215591\pi\)
−0.965046 + 0.262081i \(0.915591\pi\)
\(398\) −1.07607 7.70945i −0.0539383 0.386440i
\(399\) −11.6782 −0.584642
\(400\) 10.6944 16.9006i 0.534718 0.845031i
\(401\) −10.7338 −0.536021 −0.268010 0.963416i \(-0.586366\pi\)
−0.268010 + 0.963416i \(0.586366\pi\)
\(402\) −1.39932 10.0254i −0.0697915 0.500020i
\(403\) −6.02624 11.8272i −0.300189 0.589153i
\(404\) −3.21389 + 0.914999i −0.159897 + 0.0455229i
\(405\) 1.14985 + 1.91777i 0.0571364 + 0.0952948i
\(406\) −15.7413 + 11.0000i −0.781226 + 0.545921i
\(407\) 10.9212 + 10.9212i 0.541342 + 0.541342i
\(408\) 0.487656 0.215464i 0.0241426 0.0106671i
\(409\) −13.5189 + 18.6072i −0.668468 + 0.920068i −0.999724 0.0234733i \(-0.992528\pi\)
0.331256 + 0.943541i \(0.392528\pi\)
\(410\) 2.99759 11.1032i 0.148040 0.548347i
\(411\) 8.83496 + 12.1603i 0.435796 + 0.599822i
\(412\) 25.2907 + 27.2239i 1.24598 + 1.34122i
\(413\) 1.26513 + 7.98770i 0.0622528 + 0.393049i
\(414\) −0.692225 + 0.916810i −0.0340210 + 0.0450588i
\(415\) −16.7056 4.18195i −0.820047 0.205284i
\(416\) 11.2577 12.8276i 0.551954 0.628926i
\(417\) 18.0781 + 9.21124i 0.885287 + 0.451076i
\(418\) 23.1513 + 12.3379i 1.13237 + 0.603464i
\(419\) 3.26817 + 10.0584i 0.159661 + 0.491385i 0.998603 0.0528349i \(-0.0168257\pi\)
−0.838943 + 0.544220i \(0.816826\pi\)
\(420\) 1.15869 + 6.05246i 0.0565381 + 0.295330i
\(421\) 2.11626 6.51318i 0.103140 0.317433i −0.886149 0.463400i \(-0.846629\pi\)
0.989289 + 0.145967i \(0.0466293\pi\)
\(422\) 27.5274 26.5327i 1.34001 1.29159i
\(423\) −0.924238 + 5.83541i −0.0449380 + 0.283727i
\(424\) 16.9889 + 13.8372i 0.825053 + 0.671996i
\(425\) −0.942283 0.0182287i −0.0457074 0.000884221i
\(426\) −13.7916 + 4.20228i −0.668206 + 0.203601i
\(427\) −4.69316 0.743323i −0.227118 0.0359719i
\(428\) −23.6009 13.1406i −1.14079 0.635173i
\(429\) −6.28045 2.04064i −0.303223 0.0985231i
\(430\) −7.62356 3.41150i −0.367641 0.164517i
\(431\) 17.5744 5.71028i 0.846531 0.275054i 0.146538 0.989205i \(-0.453187\pi\)
0.699992 + 0.714150i \(0.253187\pi\)
\(432\) −3.68790 + 1.54900i −0.177434 + 0.0745263i
\(433\) −4.07982 + 8.00709i −0.196063 + 0.384796i −0.968018 0.250882i \(-0.919279\pi\)
0.771954 + 0.635678i \(0.219279\pi\)
\(434\) −2.79896 + 8.10388i −0.134354 + 0.388999i
\(435\) 8.23539 + 20.4389i 0.394857 + 0.979969i
\(436\) −5.65636 + 15.4498i −0.270890 + 0.739912i
\(437\) −6.79969 + 1.07696i −0.325273 + 0.0515182i
\(438\) 0.869262 0.422951i 0.0415349 0.0202094i
\(439\) −2.64229 + 1.91974i −0.126110 + 0.0916241i −0.649052 0.760744i \(-0.724834\pi\)
0.522942 + 0.852368i \(0.324834\pi\)
\(440\) 4.09731 13.2228i 0.195331 0.630371i
\(441\) 4.12701 + 2.99845i 0.196524 + 0.142783i
\(442\) −0.791899 0.140405i −0.0376668 0.00667837i
\(443\) −1.24003 + 1.24003i −0.0589157 + 0.0589157i −0.735951 0.677035i \(-0.763265\pi\)
0.677035 + 0.735951i \(0.263265\pi\)
\(444\) −11.1046 8.70969i −0.527000 0.413344i
\(445\) −14.3251 12.4764i −0.679073 0.591436i
\(446\) 20.7127 + 0.381115i 0.980773 + 0.0180463i
\(447\) −18.1938 + 9.27018i −0.860535 + 0.438465i
\(448\) −11.0116 + 0.514519i −0.520248 + 0.0243087i
\(449\) 10.2541i 0.483920i −0.970286 0.241960i \(-0.922210\pi\)
0.970286 0.241960i \(-0.0777903\pi\)
\(450\) 7.06603 + 0.266805i 0.333096 + 0.0125773i
\(451\) 7.96023i 0.374833i
\(452\) 3.80721 + 8.20502i 0.179076 + 0.385932i
\(453\) 15.9146 8.10891i 0.747735 0.380990i
\(454\) 0.0288518 1.56802i 0.00135408 0.0735908i
\(455\) 3.64036 8.55368i 0.170663 0.401002i
\(456\) −22.3545 8.65388i −1.04685 0.405255i
\(457\) −19.7687 + 19.7687i −0.924739 + 0.924739i −0.997360 0.0726209i \(-0.976864\pi\)
0.0726209 + 0.997360i \(0.476864\pi\)
\(458\) −2.12775 + 12.0008i −0.0994234 + 0.560760i
\(459\) 0.152493 + 0.110793i 0.00711777 + 0.00517136i
\(460\) 1.23281 + 3.41721i 0.0574799 + 0.159328i
\(461\) −17.0739 + 12.4049i −0.795213 + 0.577756i −0.909506 0.415691i \(-0.863540\pi\)
0.114293 + 0.993447i \(0.463540\pi\)
\(462\) 1.86616 + 3.83538i 0.0868216 + 0.178438i
\(463\) 13.2456 2.09790i 0.615577 0.0974978i 0.159143 0.987255i \(-0.449127\pi\)
0.456433 + 0.889758i \(0.349127\pi\)
\(464\) −38.2834 + 9.39160i −1.77726 + 0.435994i
\(465\) 8.33807 + 5.22116i 0.386669 + 0.242126i
\(466\) −13.4195 4.63490i −0.621648 0.214708i
\(467\) −0.0268684 + 0.0527322i −0.00124332 + 0.00244016i −0.891627 0.452770i \(-0.850436\pi\)
0.890384 + 0.455210i \(0.150436\pi\)
\(468\) 5.92106 + 1.16255i 0.273701 + 0.0537390i
\(469\) 9.38024 3.04783i 0.433139 0.140736i
\(470\) 13.8607 + 12.5277i 0.639346 + 0.577861i
\(471\) −1.72148 0.559343i −0.0793216 0.0257732i
\(472\) −3.49739 + 16.2276i −0.160980 + 0.746937i
\(473\) −5.70972 0.904331i −0.262533 0.0415812i
\(474\) 4.99034 + 16.3780i 0.229214 + 0.752266i
\(475\) 29.3788 + 30.5379i 1.34799 + 1.40117i
\(476\) 0.289666 + 0.431203i 0.0132768 + 0.0197642i
\(477\) −1.21185 + 7.65133i −0.0554869 + 0.350330i
\(478\) 18.9777 + 19.6892i 0.868021 + 0.900563i
\(479\) 5.52868 17.0155i 0.252612 0.777459i −0.741679 0.670755i \(-0.765970\pi\)
0.994291 0.106704i \(-0.0340297\pi\)
\(480\) −2.26707 + 12.4443i −0.103477 + 0.568002i
\(481\) 6.57882 + 20.2475i 0.299968 + 0.923208i
\(482\) 5.97470 11.2112i 0.272140 0.510657i
\(483\) −0.997330 0.508165i −0.0453801 0.0231223i
\(484\) −0.456850 + 12.4101i −0.0207659 + 0.564097i
\(485\) −16.1340 19.2647i −0.732606 0.874763i
\(486\) −1.12864 0.852162i −0.0511960 0.0386548i
\(487\) −5.54853 35.0320i −0.251428 1.58745i −0.713529 0.700626i \(-0.752904\pi\)
0.462101 0.886827i \(-0.347096\pi\)
\(488\) −8.43286 4.90064i −0.381738 0.221841i
\(489\) −5.75367 7.91925i −0.260190 0.358121i
\(490\) 15.0710 5.75258i 0.680840 0.259875i
\(491\) 15.7038 21.6144i 0.708703 0.975446i −0.291121 0.956686i \(-0.594028\pi\)
0.999824 0.0187597i \(-0.00597174\pi\)
\(492\) 0.872797 + 7.22113i 0.0393487 + 0.325554i
\(493\) 1.31346 + 1.31346i 0.0591554 + 0.0591554i
\(494\) 20.7132 + 29.6410i 0.931930 + 1.33361i
\(495\) 4.76985 1.09646i 0.214389 0.0492822i
\(496\) −11.3630 + 13.4384i −0.510213 + 0.603403i
\(497\) −6.37762 12.5168i −0.286075 0.561454i
\(498\) 10.7870 1.50562i 0.483378 0.0674687i
\(499\) 10.0895 0.451667 0.225834 0.974166i \(-0.427489\pi\)
0.225834 + 0.974166i \(0.427489\pi\)
\(500\) 12.9119 18.2560i 0.577440 0.816433i
\(501\) 14.7965 0.661059
\(502\) 24.8958 3.47489i 1.11115 0.155092i
\(503\) 6.20724 + 12.1824i 0.276767 + 0.543186i 0.986988 0.160793i \(-0.0514050\pi\)
−0.710221 + 0.703979i \(0.751405\pi\)
\(504\) −2.11342 3.27466i −0.0941391 0.145865i
\(505\) −3.64106 + 0.836983i −0.162025 + 0.0372452i
\(506\) 1.44028 + 2.06107i 0.0640281 + 0.0916258i
\(507\) 2.75586 + 2.75586i 0.122392 + 0.122392i
\(508\) −38.2235 + 4.61996i −1.69589 + 0.204977i
\(509\) −6.99440 + 9.62697i −0.310021 + 0.426708i −0.935388 0.353623i \(-0.884949\pi\)
0.625366 + 0.780331i \(0.284949\pi\)
\(510\) 0.556876 0.212558i 0.0246589 0.00941224i
\(511\) 0.553639 + 0.762019i 0.0244916 + 0.0337098i
\(512\) −21.4597 7.17498i −0.948395 0.317092i
\(513\) −1.32579 8.37073i −0.0585352 0.369577i
\(514\) −0.715420 0.540168i −0.0315558 0.0238258i
\(515\) 26.6742 + 31.8502i 1.17541 + 1.40349i
\(516\) 5.27874 + 0.194325i 0.232383 + 0.00855466i
\(517\) 11.5221 + 5.87083i 0.506743 + 0.258199i
\(518\) 6.46711 12.1352i 0.284149 0.533190i
\(519\) 0.896186 + 2.75818i 0.0393382 + 0.121071i
\(520\) 13.3069 13.6759i 0.583547 0.599729i
\(521\) 12.1297 37.3314i 0.531412 1.63552i −0.219865 0.975530i \(-0.570562\pi\)
0.751277 0.659987i \(-0.229438\pi\)
\(522\) −9.67167 10.0343i −0.423318 0.439188i
\(523\) 1.21229 7.65409i 0.0530097 0.334690i −0.946904 0.321518i \(-0.895807\pi\)
0.999913 0.0131723i \(-0.00419301\pi\)
\(524\) 12.8535 8.63451i 0.561508 0.377200i
\(525\) 0.945973 + 6.82449i 0.0412856 + 0.297845i
\(526\) 8.99625 + 29.5252i 0.392255 + 1.28736i
\(527\) 0.819085 + 0.129730i 0.0356799 + 0.00565114i
\(528\) 0.730092 + 8.72460i 0.0317732 + 0.379690i
\(529\) 21.2467 + 6.90348i 0.923771 + 0.300151i
\(530\) 18.1740 + 16.4262i 0.789427 + 0.713509i
\(531\) −5.58181 + 1.81364i −0.242230 + 0.0787053i
\(532\) 4.49993 22.9188i 0.195097 0.993658i
\(533\) 4.98144 9.77662i 0.215770 0.423472i
\(534\) 11.3562 + 3.92225i 0.491430 + 0.169732i
\(535\) −25.5967 16.0283i −1.10664 0.692962i
\(536\) 20.2143 + 1.11684i 0.873124 + 0.0482403i
\(537\) 1.27717 0.202283i 0.0551138 0.00872917i
\(538\) −9.11998 18.7437i −0.393190 0.808097i
\(539\) 9.03309 6.56292i 0.389083 0.282685i
\(540\) −4.20675 + 1.51764i −0.181030 + 0.0653090i
\(541\) 28.2177 + 20.5014i 1.21317 + 0.881423i 0.995515 0.0946024i \(-0.0301580\pi\)
0.217659 + 0.976025i \(0.430158\pi\)
\(542\) −2.41624 + 13.6279i −0.103786 + 0.585367i
\(543\) 9.81190 9.81190i 0.421069 0.421069i
\(544\) 0.234948 + 1.04006i 0.0100733 + 0.0445924i
\(545\) −7.20337 + 16.9256i −0.308558 + 0.725013i
\(546\) −0.108163 + 5.87838i −0.00462894 + 0.251571i
\(547\) −38.7859 + 19.7624i −1.65837 + 0.844980i −0.663021 + 0.748601i \(0.730726\pi\)
−0.995345 + 0.0963788i \(0.969274\pi\)
\(548\) −27.2692 + 12.6532i −1.16488 + 0.540517i
\(549\) 3.44836i 0.147172i
\(550\) 5.33464 14.5285i 0.227470 0.619499i
\(551\) 83.5188i 3.55802i
\(552\) −1.53253 1.71178i −0.0652290 0.0728584i
\(553\) −14.8641 + 7.57362i −0.632084 + 0.322063i
\(554\) −2.84379 0.0523261i −0.120821 0.00222312i
\(555\) −11.8984 10.3629i −0.505061 0.439881i
\(556\) −25.0433 + 31.9294i −1.06207 + 1.35411i
\(557\) 21.7905 21.7905i 0.923294 0.923294i −0.0739668 0.997261i \(-0.523566\pi\)
0.997261 + 0.0739668i \(0.0235659\pi\)
\(558\) −6.12647 1.08623i −0.259354 0.0459838i
\(559\) −6.44666 4.68377i −0.272665 0.198103i
\(560\) −12.3246 0.0582189i −0.520810 0.00246020i
\(561\) 0.333773 0.242500i 0.0140919 0.0102384i
\(562\) −27.8267 + 13.5394i −1.17380 + 0.571127i
\(563\) 6.93499 1.09839i 0.292275 0.0462918i −0.00857524 0.999963i \(-0.502730\pi\)
0.300850 + 0.953671i \(0.402730\pi\)
\(564\) −11.0960 4.06238i −0.467227 0.171057i
\(565\) 3.77951 + 9.38013i 0.159005 + 0.394625i
\(566\) −4.85087 + 14.0448i −0.203897 + 0.590348i
\(567\) 0.625575 1.22776i 0.0262717 0.0515611i
\(568\) −2.93281 28.6857i −0.123058 1.20363i
\(569\) 7.71221 2.50585i 0.323313 0.105051i −0.142864 0.989742i \(-0.545631\pi\)
0.466177 + 0.884692i \(0.345631\pi\)
\(570\) −24.4629 10.9470i −1.02464 0.458520i
\(571\) −25.4007 8.25319i −1.06299 0.345385i −0.275234 0.961377i \(-0.588755\pi\)
−0.787753 + 0.615992i \(0.788755\pi\)
\(572\) 6.42485 11.5393i 0.268636 0.482480i
\(573\) −2.21590 0.350964i −0.0925706 0.0146617i
\(574\) −6.77944 + 2.06568i −0.282968 + 0.0862199i
\(575\) 1.18015 + 3.88635i 0.0492157 + 0.162072i
\(576\) −1.61891 7.83448i −0.0674546 0.326437i
\(577\) −0.000681884 0.00430524i −2.83872e−5 0.000179230i −0.987703 0.156345i \(-0.950029\pi\)
0.987674 + 0.156524i \(0.0500289\pi\)
\(578\) −17.2737 + 16.6495i −0.718491 + 0.692528i
\(579\) 6.61892 20.3709i 0.275073 0.846588i
\(580\) −43.2852 + 8.28655i −1.79732 + 0.344080i
\(581\) 3.27938 + 10.0929i 0.136051 + 0.418723i
\(582\) 14.0252 + 7.47435i 0.581365 + 0.309822i
\(583\) 15.1077 + 7.69777i 0.625698 + 0.318809i
\(584\) 0.495104 + 1.86893i 0.0204876 + 0.0773367i
\(585\) 6.54440 + 1.63827i 0.270578 + 0.0677342i
\(586\) 27.3876 36.2732i 1.13137 1.49843i
\(587\) −5.54430 35.0053i −0.228838 1.44482i −0.787954 0.615734i \(-0.788859\pi\)
0.559116 0.829089i \(-0.311141\pi\)
\(588\) −7.47478 + 6.94399i −0.308255 + 0.286365i
\(589\) −21.9169 30.1660i −0.903070 1.24297i
\(590\) −4.83745 + 17.9181i −0.199155 + 0.737677i
\(591\) 8.38550 11.5416i 0.344933 0.474760i
\(592\) 21.3719 18.4370i 0.878381 0.757756i
\(593\) 25.8543 + 25.8543i 1.06171 + 1.06171i 0.997966 + 0.0637412i \(0.0203032\pi\)
0.0637412 + 0.997966i \(0.479697\pi\)
\(594\) −2.53728 + 1.77305i −0.104106 + 0.0727491i
\(595\) 0.298652 + 0.498107i 0.0122436 + 0.0204204i
\(596\) −11.1825 39.2778i −0.458052 1.60888i
\(597\) 2.49888 + 4.90432i 0.102272 + 0.200720i
\(598\) 0.479126 + 3.43268i 0.0195929 + 0.140373i
\(599\) −31.6810 −1.29445 −0.647224 0.762299i \(-0.724070\pi\)
−0.647224 + 0.762299i \(0.724070\pi\)
\(600\) −3.24634 + 13.7645i −0.132531 + 0.561933i
\(601\) 17.3908 0.709384 0.354692 0.934983i \(-0.384586\pi\)
0.354692 + 0.934983i \(0.384586\pi\)
\(602\) 0.711488 + 5.09744i 0.0289981 + 0.207756i
\(603\) 3.24954 + 6.37758i 0.132331 + 0.259715i
\(604\) 9.78165 + 34.3575i 0.398010 + 1.39799i
\(605\) −1.22317 + 13.8304i −0.0497288 + 0.562284i
\(606\) 1.93683 1.35346i 0.0786783 0.0549804i
\(607\) 17.8670 + 17.8670i 0.725198 + 0.725198i 0.969659 0.244461i \(-0.0786111\pi\)
−0.244461 + 0.969659i \(0.578611\pi\)
\(608\) 25.5973 40.5369i 1.03811 1.64399i
\(609\) 7.98164 10.9858i 0.323432 0.445166i
\(610\) −9.13419 5.95638i −0.369832 0.241167i
\(611\) 10.4774 + 14.4209i 0.423870 + 0.583407i
\(612\) −0.276194 + 0.256581i −0.0111645 + 0.0103717i
\(613\) −3.10277 19.5901i −0.125320 0.791238i −0.967654 0.252282i \(-0.918819\pi\)
0.842334 0.538956i \(-0.181181\pi\)
\(614\) 4.60878 6.10406i 0.185995 0.246340i
\(615\) 0.559611 + 8.11295i 0.0225657 + 0.327146i
\(616\) −8.24614 + 2.18452i −0.332246 + 0.0880166i
\(617\) 11.7364 + 5.97999i 0.472489 + 0.240745i 0.673986 0.738744i \(-0.264581\pi\)
−0.201497 + 0.979489i \(0.564581\pi\)
\(618\) −23.1879 12.3573i −0.932752 0.497084i
\(619\) −11.2383 34.5880i −0.451706 1.39021i −0.874959 0.484197i \(-0.839112\pi\)
0.423252 0.906012i \(-0.360888\pi\)
\(620\) −13.4596 + 14.3519i −0.540549 + 0.576384i
\(621\) 0.251020 0.772559i 0.0100731 0.0310017i
\(622\) 20.5015 19.7607i 0.822037 0.792332i
\(623\) −1.83128 + 11.5622i −0.0733685 + 0.463231i
\(624\) −4.56309 + 11.1723i −0.182670 + 0.447250i
\(625\) 15.4659 19.6420i 0.618635 0.785679i
\(626\) 8.37600 2.55215i 0.334772 0.102004i
\(627\) −18.3217 2.90186i −0.731696 0.115889i
\(628\) 1.76106 3.16293i 0.0702739 0.126214i
\(629\) −1.26497 0.411015i −0.0504378 0.0163882i
\(630\) −2.17159 3.77778i −0.0865183 0.150510i
\(631\) 16.9828 5.51805i 0.676075 0.219670i 0.0491990 0.998789i \(-0.484333\pi\)
0.626876 + 0.779119i \(0.284333\pi\)
\(632\) −34.0652 + 3.48281i −1.35504 + 0.138539i
\(633\) −12.2735 + 24.0880i −0.487826 + 0.957412i
\(634\) −2.79194 + 8.08355i −0.110882 + 0.321039i
\(635\) −42.9441 + 2.96218i −1.70419 + 0.117550i
\(636\) −14.5490 5.32656i −0.576905 0.211212i
\(637\) 15.2013 2.40765i 0.602297 0.0953945i
\(638\) −27.4294 + 13.3462i −1.08594 + 0.528380i
\(639\) 8.24777 5.99235i 0.326277 0.237054i
\(640\) −23.5487 9.24432i −0.930845 0.365414i
\(641\) −33.0212 23.9913i −1.30426 0.947601i −0.304273 0.952585i \(-0.598414\pi\)
−0.999988 + 0.00498399i \(0.998414\pi\)
\(642\) 18.8074 + 3.33458i 0.742270 + 0.131605i
\(643\) 17.9239 17.9239i 0.706849 0.706849i −0.259022 0.965871i \(-0.583400\pi\)
0.965871 + 0.259022i \(0.0834003\pi\)
\(644\) 1.38159 1.76148i 0.0544422 0.0694121i
\(645\) 5.88284 + 0.520283i 0.231637 + 0.0204861i
\(646\) −2.25880 0.0415622i −0.0888713 0.00163524i
\(647\) 6.51150 3.31778i 0.255994 0.130435i −0.321285 0.946983i \(-0.604115\pi\)
0.577278 + 0.816547i \(0.304115\pi\)
\(648\) 2.10729 1.88662i 0.0827820 0.0741135i
\(649\) 12.8461i 0.504252i
\(650\) 15.6437 14.5053i 0.613598 0.568946i
\(651\) 6.06247i 0.237607i
\(652\) 17.7588 8.24025i 0.695489 0.322713i
\(653\) −32.5633 + 16.5918i −1.27430 + 0.649289i −0.954504 0.298197i \(-0.903615\pi\)
−0.319797 + 0.947486i \(0.603615\pi\)
\(654\) 0.214027 11.6318i 0.00836913 0.454841i
\(655\) 14.8478 8.90237i 0.580151 0.347845i
\(656\) −14.5080 1.06961i −0.566442 0.0417611i
\(657\) −0.483349 + 0.483349i −0.0188572 + 0.0188572i
\(658\) 2.00997 11.3365i 0.0783569 0.441942i
\(659\) −24.2501 17.6187i −0.944650 0.686328i 0.00488562 0.999988i \(-0.498445\pi\)
−0.949535 + 0.313660i \(0.898445\pi\)
\(660\) 0.313886 + 9.78346i 0.0122180 + 0.380821i
\(661\) 18.1452 13.1832i 0.705766 0.512769i −0.176039 0.984383i \(-0.556329\pi\)
0.881805 + 0.471614i \(0.156329\pi\)
\(662\) −0.504168 1.03618i −0.0195951 0.0402723i
\(663\) 0.561689 0.0889628i 0.0218142 0.00345503i
\(664\) −1.20169 + 21.7500i −0.0466347 + 0.844063i
\(665\) 6.34131 25.3316i 0.245905 0.982318i
\(666\) 9.43248 + 3.25784i 0.365501 + 0.126239i
\(667\) 3.63423 7.13258i 0.140718 0.276175i
\(668\) −5.70149 + 29.0386i −0.220597 + 1.12354i
\(669\) −13.9316 + 4.52665i −0.538626 + 0.175010i
\(670\) 22.5062 + 2.40850i 0.869491 + 0.0930486i
\(671\) −7.17827 2.33236i −0.277114 0.0900398i
\(672\) 7.24097 2.88583i 0.279327 0.111323i
\(673\) 35.5839 + 5.63594i 1.37166 + 0.217250i 0.798402 0.602125i \(-0.205679\pi\)
0.573258 + 0.819375i \(0.305679\pi\)
\(674\) 0.424936 + 1.39461i 0.0163679 + 0.0537185i
\(675\) −4.78428 + 1.45282i −0.184147 + 0.0559191i
\(676\) −6.47037 + 4.34655i −0.248860 + 0.167175i
\(677\) −5.41952 + 34.2175i −0.208289 + 1.31508i 0.632854 + 0.774271i \(0.281883\pi\)
−0.841143 + 0.540813i \(0.818117\pi\)
\(678\) −4.43868 4.60508i −0.170466 0.176857i
\(679\) −4.78513 + 14.7271i −0.183636 + 0.565175i
\(680\) 0.202573 + 1.17479i 0.00776831 + 0.0450511i
\(681\) 0.342683 + 1.05467i 0.0131316 + 0.0404150i
\(682\) −6.40491 + 12.0185i −0.245257 + 0.460211i
\(683\) −12.3613 6.29842i −0.472994 0.241002i 0.201210 0.979548i \(-0.435513\pi\)
−0.674203 + 0.738546i \(0.735513\pi\)
\(684\) 16.9387 + 0.623559i 0.647667 + 0.0238424i
\(685\) −31.1747 + 12.5611i −1.19112 + 0.479937i
\(686\) −18.8199 14.2097i −0.718547 0.542529i
\(687\) −1.34818 8.51208i −0.0514363 0.324756i
\(688\) −2.41541 + 10.2848i −0.0920865 + 0.392104i
\(689\) 13.7379 + 18.9085i 0.523371 + 0.720358i
\(690\) −1.61281 1.99936i −0.0613984 0.0761144i
\(691\) −9.09380 + 12.5165i −0.345944 + 0.476152i −0.946166 0.323682i \(-0.895079\pi\)
0.600221 + 0.799834i \(0.295079\pi\)
\(692\) −5.75833 + 0.695992i −0.218899 + 0.0264576i
\(693\) −2.13265 2.13265i −0.0810125 0.0810125i
\(694\) 28.4617 + 40.7293i 1.08039 + 1.54606i
\(695\) −29.7969 + 34.2121i −1.13026 + 1.29774i
\(696\) 23.4193 15.1145i 0.887706 0.572913i
\(697\) 0.311218 + 0.610799i 0.0117882 + 0.0231357i
\(698\) −26.5314 + 3.70319i −1.00423 + 0.140168i
\(699\) 10.0391 0.379713
\(700\) −13.7578 0.773159i −0.519995 0.0292226i
\(701\) 26.8425 1.01383 0.506915 0.861996i \(-0.330786\pi\)
0.506915 + 0.861996i \(0.330786\pi\)
\(702\) −4.22580 + 0.589826i −0.159492 + 0.0222616i
\(703\) 27.1502 + 53.2853i 1.02399 + 2.00969i
\(704\) −17.4036 1.92900i −0.655924 0.0727018i
\(705\) −12.1559 5.17344i −0.457819 0.194843i
\(706\) −24.5268 35.0984i −0.923078 1.32095i
\(707\) 1.62796 + 1.62796i 0.0612256 + 0.0612256i
\(708\) −1.40850 11.6533i −0.0529347 0.437958i
\(709\) 17.6460 24.2876i 0.662708 0.912139i −0.336859 0.941555i \(-0.609365\pi\)
0.999567 + 0.0294156i \(0.00936463\pi\)
\(710\) −1.62641 32.1977i −0.0610382 1.20836i
\(711\) −7.11611 9.79448i −0.266875 0.367322i
\(712\) −12.0734 + 20.7755i −0.452469 + 0.778594i
\(713\) −0.559081 3.52990i −0.0209377 0.132196i
\(714\) −0.293143 0.221334i −0.0109706 0.00828320i
\(715\) 7.83673 12.5151i 0.293077 0.468037i
\(716\) −0.0951396 + 2.58442i −0.00355553 + 0.0965844i
\(717\) −17.2292 8.77869i −0.643435 0.327846i
\(718\) −7.08159 + 13.2882i −0.264283 + 0.495913i
\(719\) 9.34020 + 28.7462i 0.348331 + 1.07205i 0.959776 + 0.280765i \(0.0905883\pi\)
−0.611446 + 0.791286i \(0.709412\pi\)
\(720\) −1.35745 8.84066i −0.0505890 0.329472i
\(721\) 7.91123 24.3483i 0.294630 0.906777i
\(722\) 51.8461 + 53.7898i 1.92951 + 2.00185i
\(723\) −1.40525 + 8.87240i −0.0522618 + 0.329968i
\(724\) 15.4754 + 23.0369i 0.575137 + 0.856161i
\(725\) −48.8065 + 6.76529i −1.81263 + 0.251257i
\(726\) −2.55945 8.39995i −0.0949900 0.311751i
\(727\) 21.2874 + 3.37159i 0.789505 + 0.125045i 0.538150 0.842849i \(-0.319124\pi\)
0.251356 + 0.967895i \(0.419124\pi\)
\(728\) −11.4948 2.47737i −0.426026 0.0918174i
\(729\) 0.951057 + 0.309017i 0.0352243 + 0.0114451i
\(730\) 0.445426 + 2.11521i 0.0164860 + 0.0782874i
\(731\) 0.473471 0.153840i 0.0175119 0.00568997i
\(732\) 6.76751 + 1.32875i 0.250134 + 0.0491118i
\(733\) 8.35023 16.3882i 0.308423 0.605314i −0.683817 0.729654i \(-0.739681\pi\)
0.992240 + 0.124340i \(0.0396813\pi\)
\(734\) 11.6767 + 4.03296i 0.430996 + 0.148859i
\(735\) −8.74501 + 7.32387i −0.322565 + 0.270145i
\(736\) 3.94995 2.34805i 0.145597 0.0865502i
\(737\) 15.4738 2.45080i 0.569984 0.0902765i
\(738\) −2.25029 4.62487i −0.0828345 0.170244i
\(739\) −13.9408 + 10.1286i −0.512820 + 0.372586i −0.813892 0.581016i \(-0.802655\pi\)
0.301072 + 0.953601i \(0.402655\pi\)
\(740\) 24.9223 19.3580i 0.916163 0.711612i
\(741\) −20.6864 15.0295i −0.759933 0.552124i
\(742\) 2.63545 14.8643i 0.0967506 0.545685i
\(743\) −5.20068 + 5.20068i −0.190794 + 0.190794i −0.796039 0.605245i \(-0.793075\pi\)
0.605245 + 0.796039i \(0.293075\pi\)
\(744\) 4.49246 11.6048i 0.164701 0.425454i
\(745\) −10.2290 44.4985i −0.374762 1.63030i
\(746\) −0.467932 + 25.4309i −0.0171322 + 0.931092i
\(747\) −6.86210 + 3.49641i −0.251071 + 0.127927i
\(748\) 0.347302 + 0.748482i 0.0126986 + 0.0273672i
\(749\) 18.6109i 0.680029i
\(750\) −4.41562 + 15.1823i −0.161235 + 0.554379i
\(751\) 8.66684i 0.316258i −0.987418 0.158129i \(-0.949454\pi\)
0.987418 0.158129i \(-0.0505461\pi\)
\(752\) 12.2482 20.2109i 0.446644 0.737017i
\(753\) −15.8373 + 8.06951i −0.577143 + 0.294069i
\(754\) −42.0403 0.773546i −1.53102 0.0281709i
\(755\) 8.94763 + 38.9242i 0.325637 + 1.41660i
\(756\) 2.16847 + 1.70080i 0.0788663 + 0.0618575i
\(757\) −19.0390 + 19.0390i −0.691983 + 0.691983i −0.962668 0.270685i \(-0.912750\pi\)
0.270685 + 0.962668i \(0.412750\pi\)
\(758\) −0.399466 0.0708258i −0.0145092 0.00257251i
\(759\) −1.43841 1.04507i −0.0522111 0.0379336i
\(760\) 30.9100 43.7909i 1.12122 1.58846i
\(761\) 15.8475 11.5139i 0.574471 0.417377i −0.262256 0.964998i \(-0.584466\pi\)
0.836726 + 0.547621i \(0.184466\pi\)
\(762\) 24.4807 11.9114i 0.886844 0.431506i
\(763\) 11.1959 1.77326i 0.405320 0.0641963i
\(764\) 1.54262 4.21354i 0.0558102 0.152440i
\(765\) −0.323129 + 0.270617i −0.0116827 + 0.00978419i
\(766\) 12.5090 36.2174i 0.451967 1.30859i
\(767\) −8.03894 + 15.7773i −0.290269 + 0.569686i
\(768\) 15.9992 0.158322i 0.577322 0.00571295i
\(769\) −41.2874 + 13.4151i −1.48886 + 0.483760i −0.936747 0.350008i \(-0.886179\pi\)
−0.552114 + 0.833768i \(0.686179\pi\)
\(770\) −9.33280 + 1.96532i −0.336331 + 0.0708254i
\(771\) 0.602855 + 0.195880i 0.0217113 + 0.00705443i
\(772\) 37.4281 + 20.8393i 1.34707 + 0.750023i
\(773\) −21.5334 3.41055i −0.774501 0.122669i −0.243341 0.969941i \(-0.578244\pi\)
−0.531160 + 0.847272i \(0.678244\pi\)
\(774\) −3.57298 + 1.08868i −0.128428 + 0.0391318i
\(775\) −15.8530 + 15.2513i −0.569457 + 0.547842i
\(776\) −20.0729 + 24.6449i −0.720577 + 0.884699i
\(777\) −1.52106 + 9.60363i −0.0545679 + 0.344528i
\(778\) 24.6952 23.8029i 0.885367 0.853374i
\(779\) 9.52469 29.3140i 0.341257 1.05028i
\(780\) −5.73689 + 12.2123i −0.205414 + 0.437271i
\(781\) −6.89544 21.2220i −0.246738 0.759383i
\(782\) −0.191095 0.101839i −0.00683355 0.00364175i
\(783\) 8.78054 + 4.47391i 0.313791 + 0.159885i
\(784\) −10.7476 17.3452i −0.383841 0.619471i
\(785\) 2.14806 3.43040i 0.0766675 0.122436i
\(786\) −6.59762 + 8.73814i −0.235329 + 0.311679i
\(787\) −0.225440 1.42337i −0.00803607 0.0507377i 0.983344 0.181752i \(-0.0581767\pi\)
−0.991381 + 0.131014i \(0.958177\pi\)
\(788\) 19.4197 + 20.9041i 0.691797 + 0.744677i
\(789\) −12.8285 17.6569i −0.456705 0.628601i
\(790\) −38.2358 + 1.93142i −1.36037 + 0.0687167i
\(791\) 3.66306 5.04177i 0.130243 0.179265i
\(792\) −2.50198 5.66268i −0.0889041 0.201215i
\(793\) −7.35666 7.35666i −0.261243 0.261243i
\(794\) −9.45167 + 6.60483i −0.335427 + 0.234397i
\(795\) −15.9387 6.78337i −0.565288 0.240581i
\(796\) −10.5878 + 3.01435i −0.375273 + 0.106841i
\(797\) 1.09624 + 2.15150i 0.0388310 + 0.0762101i 0.909607 0.415470i \(-0.136383\pi\)
−0.870776 + 0.491680i \(0.836383\pi\)
\(798\) 2.28306 + 16.3569i 0.0808194 + 0.579029i
\(799\) −1.11364 −0.0393977
\(800\) −25.7623 11.6749i −0.910836 0.412769i
\(801\) −8.49549 −0.300173
\(802\) 2.09843 + 15.0342i 0.0740982 + 0.530875i
\(803\) 0.679240 + 1.33308i 0.0239699 + 0.0470435i
\(804\) −13.7683 + 3.91986i −0.485571 + 0.138243i
\(805\) 1.64383 1.88741i 0.0579375 0.0665224i
\(806\) −15.3874 + 10.7528i −0.542000 + 0.378750i
\(807\) 10.4223 + 10.4223i 0.366883 + 0.366883i
\(808\) 1.90989 + 4.32261i 0.0671896 + 0.152069i
\(809\) 24.1930 33.2989i 0.850582 1.17073i −0.133153 0.991096i \(-0.542510\pi\)
0.983734 0.179630i \(-0.0574900\pi\)
\(810\) 2.46131 1.98544i 0.0864815 0.0697612i
\(811\) −11.0110 15.1553i −0.386647 0.532174i 0.570683 0.821170i \(-0.306678\pi\)
−0.957330 + 0.288996i \(0.906678\pi\)
\(812\) 18.4844 + 19.8973i 0.648675 + 0.698259i
\(813\) −1.53097 9.66615i −0.0536934 0.339007i
\(814\) 13.1615 17.4316i 0.461311 0.610978i
\(815\) 20.3022 8.18031i 0.711155 0.286544i
\(816\) −0.397123 0.640906i −0.0139021 0.0224362i
\(817\) −19.9443 10.1621i −0.697762 0.355528i
\(818\) 28.7048 + 15.2974i 1.00364 + 0.534862i
\(819\) −1.28469 3.95387i −0.0448907 0.138159i
\(820\) −16.1375 2.02789i −0.563547 0.0708168i
\(821\) −10.6762 + 32.8579i −0.372601 + 1.14675i 0.572482 + 0.819918i \(0.305981\pi\)
−0.945083 + 0.326831i \(0.894019\pi\)
\(822\) 15.3049 14.7519i 0.533820 0.514530i
\(823\) −6.73632 + 42.5315i −0.234814 + 1.48255i 0.535308 + 0.844657i \(0.320196\pi\)
−0.770121 + 0.637897i \(0.779804\pi\)
\(824\) 33.1865 40.7452i 1.15611 1.41943i
\(825\) −0.211672 + 10.9418i −0.00736948 + 0.380946i
\(826\) 10.9405 3.33356i 0.380670 0.115989i
\(827\) 13.5505 + 2.14619i 0.471198 + 0.0746304i 0.387518 0.921862i \(-0.373333\pi\)
0.0836802 + 0.996493i \(0.473333\pi\)
\(828\) 1.41945 + 0.790321i 0.0493291 + 0.0274656i
\(829\) 52.3835 + 17.0204i 1.81936 + 0.591144i 0.999836 + 0.0180928i \(0.00575944\pi\)
0.819519 + 0.573052i \(0.194241\pi\)
\(830\) −2.59148 + 24.2160i −0.0899516 + 0.840551i
\(831\) 1.91277 0.621496i 0.0663532 0.0215595i
\(832\) −20.1677 13.2602i −0.699189 0.459714i
\(833\) −0.436533 + 0.856744i −0.0151250 + 0.0296844i
\(834\) 9.36738 27.1216i 0.324366 0.939143i
\(835\) −8.03455 + 32.0956i −0.278047 + 1.11071i
\(836\) 12.7548 34.8386i 0.441135 1.20492i
\(837\) 4.34547 0.688255i 0.150201 0.0237896i
\(838\) 13.4492 6.54391i 0.464596 0.226056i
\(839\) −23.0160 + 16.7221i −0.794601 + 0.577312i −0.909325 0.416086i \(-0.863402\pi\)
0.114724 + 0.993397i \(0.463402\pi\)
\(840\) 8.25077 2.80614i 0.284679 0.0968209i
\(841\) 55.1053 + 40.0363i 1.90018 + 1.38056i
\(842\) −9.53632 1.69080i −0.328643 0.0582689i
\(843\) 15.4729 15.4729i 0.532914 0.532914i
\(844\) −42.5441 33.3688i −1.46443 1.14860i
\(845\) −7.47428 + 4.48139i −0.257123 + 0.154165i
\(846\) 8.35397 + 0.153714i 0.287215 + 0.00528480i
\(847\) 7.62349 3.88436i 0.261946 0.133468i
\(848\) 16.0596 26.5004i 0.551491 0.910027i
\(849\) 10.5069i 0.360595i
\(850\) 0.158682 + 1.32336i 0.00544275 + 0.0453908i
\(851\) 5.73202i 0.196491i
\(852\) 8.58209 + 18.4955i 0.294017 + 0.633646i
\(853\) −24.4934 + 12.4800i −0.838637 + 0.427307i −0.819892 0.572518i \(-0.805967\pi\)
−0.0187443 + 0.999824i \(0.505967\pi\)
\(854\) −0.123625 + 6.71872i −0.00423037 + 0.229910i
\(855\) 18.8772 + 1.66951i 0.645585 + 0.0570961i
\(856\) −13.7912 + 35.6252i −0.471374 + 1.21765i
\(857\) 1.72854 1.72854i 0.0590459 0.0590459i −0.676967 0.736013i \(-0.736706\pi\)
0.736013 + 0.676967i \(0.236706\pi\)
\(858\) −1.63038 + 9.19556i −0.0556604 + 0.313931i
\(859\) −34.6723 25.1909i −1.18300 0.859502i −0.190495 0.981688i \(-0.561009\pi\)
−0.992507 + 0.122186i \(0.961009\pi\)
\(860\) −3.28789 + 11.3448i −0.112116 + 0.386854i
\(861\) 4.05429 2.94562i 0.138170 0.100386i
\(862\) −11.4338 23.4990i −0.389436 0.800380i
\(863\) 15.8885 2.51648i 0.540849 0.0856621i 0.119968 0.992778i \(-0.461721\pi\)
0.420881 + 0.907116i \(0.361721\pi\)
\(864\) 2.89056 + 4.86258i 0.0983388 + 0.165428i
\(865\) −6.46949 + 0.446249i −0.219969 + 0.0151729i
\(866\) 12.0126 + 4.14897i 0.408205 + 0.140988i
\(867\) 7.70171 15.1155i 0.261564 0.513348i
\(868\) 11.8978 + 2.33603i 0.403837 + 0.0792901i
\(869\) −25.2018 + 8.18856i −0.854912 + 0.277778i
\(870\) 27.0174 15.5305i 0.915977 0.526534i
\(871\) 20.5383 + 6.67330i 0.695914 + 0.226116i
\(872\) 22.7454 + 4.90210i 0.770256 + 0.166006i
\(873\) −11.0994 1.75797i −0.375657 0.0594982i
\(874\) 2.83776 + 9.31334i 0.0959885 + 0.315029i
\(875\) −15.3169 1.65378i −0.517806 0.0559079i
\(876\) −0.762339 1.13483i −0.0257570 0.0383425i
\(877\) 0.650180 4.10507i 0.0219550 0.138619i −0.974276 0.225358i \(-0.927645\pi\)
0.996231 + 0.0867396i \(0.0276448\pi\)
\(878\) 3.20542 + 3.32559i 0.108178 + 0.112233i
\(879\) −9.93148 + 30.5659i −0.334980 + 1.03096i
\(880\) −19.3213 3.15382i −0.651321 0.106315i
\(881\) 4.98869 + 15.3536i 0.168073 + 0.517276i 0.999250 0.0387328i \(-0.0123321\pi\)
−0.831176 + 0.556009i \(0.812332\pi\)
\(882\) 3.39291 6.36662i 0.114245 0.214375i
\(883\) 4.32760 + 2.20502i 0.145635 + 0.0742049i 0.525289 0.850924i \(-0.323957\pi\)
−0.379654 + 0.925128i \(0.623957\pi\)
\(884\) −0.0418417 + 1.13661i −0.00140729 + 0.0382284i
\(885\) −0.903089 13.0925i −0.0303570 0.440100i
\(886\) 1.97926 + 1.49441i 0.0664944 + 0.0502057i
\(887\) −1.80433 11.3921i −0.0605834 0.382509i −0.999286 0.0377807i \(-0.987971\pi\)
0.938703 0.344728i \(-0.112029\pi\)
\(888\) −10.0282 + 17.2562i −0.336524 + 0.579080i
\(889\) 15.5920 + 21.4605i 0.522938 + 0.719762i
\(890\) −14.6743 + 22.5033i −0.491885 + 0.754312i
\(891\) 1.28653 1.77076i 0.0431004 0.0593226i
\(892\) −3.51547 29.0854i −0.117707 0.973851i
\(893\) 35.4063 + 35.4063i 1.18483 + 1.18483i
\(894\) 16.5410 + 23.6705i 0.553213 + 0.791661i
\(895\) −0.254726 + 2.88019i −0.00851455 + 0.0962740i
\(896\) 2.87339 + 15.3226i 0.0959931 + 0.511893i
\(897\) −1.11264 2.18368i −0.0371500 0.0729110i
\(898\) −14.3622 + 2.00465i −0.479274 + 0.0668959i
\(899\) 43.3568 1.44603
\(900\) −1.00769 9.94910i −0.0335898 0.331637i
\(901\) −1.46019 −0.0486460
\(902\) −11.1494 + 1.55620i −0.371234 + 0.0518159i
\(903\) −1.65224 3.24271i −0.0549832 0.107911i
\(904\) 10.7480 6.93657i 0.357472 0.230707i
\(905\) 15.9554 + 26.6112i 0.530377 + 0.884588i
\(906\) −14.4689 20.7053i −0.480697 0.687889i
\(907\) −23.8427 23.8427i −0.791685 0.791685i 0.190083 0.981768i \(-0.439124\pi\)
−0.981768 + 0.190083i \(0.939124\pi\)
\(908\) −2.20187 + 0.266133i −0.0730715 + 0.00883193i
\(909\) −0.982072 + 1.35171i −0.0325733 + 0.0448333i
\(910\) −12.6923 3.42660i −0.420744 0.113591i
\(911\) 6.33940 + 8.72543i 0.210034 + 0.289086i 0.901017 0.433785i \(-0.142822\pi\)
−0.690983 + 0.722871i \(0.742822\pi\)
\(912\) −7.75068 + 33.0024i −0.256651 + 1.09282i
\(913\) 2.63700 + 16.6493i 0.0872718 + 0.551013i
\(914\) 31.5534 + 23.8240i 1.04369 + 0.788027i
\(915\) 7.47996 + 1.87247i 0.247280 + 0.0619020i
\(916\) 17.2247 + 0.634088i 0.569120 + 0.0209508i
\(917\) −9.50558 4.84334i −0.313902 0.159941i
\(918\) 0.125368 0.235247i 0.00413777 0.00776431i
\(919\) 13.2306 + 40.7197i 0.436439 + 1.34322i 0.891605 + 0.452814i \(0.149580\pi\)
−0.455167 + 0.890406i \(0.650420\pi\)
\(920\) 4.54526 2.39477i 0.149853 0.0789532i
\(921\) −1.67127 + 5.14364i −0.0550702 + 0.169489i
\(922\) 20.7127 + 21.4892i 0.682137 + 0.707710i
\(923\) 4.81166 30.3796i 0.158378 0.999957i
\(924\) 5.00715 3.36362i 0.164723 0.110655i
\(925\) 28.9395 20.1822i 0.951524 0.663588i
\(926\) −5.52788 18.1422i −0.181657 0.596189i
\(927\) 18.3505 + 2.90644i 0.602711 + 0.0954600i
\(928\) 20.6385 + 51.7851i 0.677493 + 1.69993i
\(929\) −44.6887 14.5202i −1.46619 0.476394i −0.536235 0.844069i \(-0.680154\pi\)
−0.929954 + 0.367675i \(0.880154\pi\)
\(930\) 5.68288 12.6993i 0.186349 0.416427i
\(931\) 41.1176 13.3599i 1.34757 0.437853i
\(932\) −3.86833 + 19.7020i −0.126711 + 0.645360i
\(933\) −9.14089 + 17.9400i −0.299259 + 0.587329i
\(934\) 0.0791114 + 0.0273239i 0.00258860 + 0.000894064i
\(935\) 0.344776 + 0.855677i 0.0112754 + 0.0279836i
\(936\) 0.470761 8.52053i 0.0153873 0.278502i
\(937\) −11.9522 + 1.89304i −0.390460 + 0.0618429i −0.348578 0.937280i \(-0.613335\pi\)
−0.0418822 + 0.999123i \(0.513335\pi\)
\(938\) −6.10271 12.5425i −0.199260 0.409526i
\(939\) −5.00908 + 3.63931i −0.163465 + 0.118764i
\(940\) 14.8370 21.8629i 0.483931 0.713089i
\(941\) −14.0733 10.2249i −0.458777 0.333321i 0.334274 0.942476i \(-0.391509\pi\)
−0.793051 + 0.609155i \(0.791509\pi\)
\(942\) −0.446891 + 2.52052i −0.0145605 + 0.0821229i
\(943\) 2.08898 2.08898i 0.0680267 0.0680267i
\(944\) 23.4127 + 1.72611i 0.762019 + 0.0561801i
\(945\) 2.32349 + 2.02364i 0.0755831 + 0.0658289i
\(946\) −0.150403 + 8.17404i −0.00489003 + 0.265761i
\(947\) −52.5031 + 26.7517i −1.70612 + 0.869312i −0.721982 + 0.691912i \(0.756769\pi\)
−0.984139 + 0.177400i \(0.943231\pi\)
\(948\) 21.9640 10.1915i 0.713357 0.331004i
\(949\) 2.06233i 0.0669462i
\(950\) 37.0290 47.1190i 1.20138 1.52874i
\(951\) 6.04726i 0.196096i
\(952\) 0.547330 0.490016i 0.0177391 0.0158815i
\(953\) −15.4975 + 7.89635i −0.502012 + 0.255788i −0.686609 0.727026i \(-0.740902\pi\)
0.184598 + 0.982814i \(0.440902\pi\)
\(954\) 10.9536 + 0.201548i 0.354637 + 0.00652537i
\(955\) 1.96453 4.61601i 0.0635707 0.149371i
\(956\) 23.8673 30.4301i 0.771924 0.984179i
\(957\) 15.2520 15.2520i 0.493027 0.493027i
\(958\) −24.9134 4.41717i −0.804915 0.142712i
\(959\) 16.7562 + 12.1741i 0.541087 + 0.393122i
\(960\) 17.8731 + 0.742516i 0.576853 + 0.0239646i
\(961\) −9.41956 + 6.84371i −0.303857 + 0.220765i
\(962\) 27.0733 13.1729i 0.872878 0.424710i
\(963\) −13.3400 + 2.11285i −0.429875 + 0.0680855i
\(964\) −16.8709 6.17662i −0.543374 0.198936i
\(965\) 40.5932 + 25.4188i 1.30674 + 0.818261i
\(966\) −0.516779 + 1.49624i −0.0166271 + 0.0481408i
\(967\) 13.5916 26.6750i 0.437076 0.857810i −0.562444 0.826835i \(-0.690139\pi\)
0.999520 0.0309748i \(-0.00986116\pi\)
\(968\) 17.4714 1.78627i 0.561551 0.0574127i
\(969\) 1.51930 0.493649i 0.0488068 0.0158583i
\(970\) −23.8286 + 26.3640i −0.765091 + 0.846498i
\(971\) −49.5544 16.1012i −1.59028 0.516712i −0.625598 0.780145i \(-0.715145\pi\)
−0.964678 + 0.263433i \(0.915145\pi\)
\(972\) −0.972923 + 1.74740i −0.0312065 + 0.0560480i
\(973\) 27.6137 + 4.37357i 0.885253 + 0.140210i
\(974\) −47.9824 + 14.6201i −1.53746 + 0.468459i
\(975\) −7.10726 + 13.3061i −0.227615 + 0.426136i
\(976\) −5.21540 + 12.7694i −0.166941 + 0.408740i
\(977\) 1.94136 12.2573i 0.0621097 0.392145i −0.936976 0.349394i \(-0.886388\pi\)
0.999086 0.0427516i \(-0.0136124\pi\)
\(978\) −9.96716 + 9.60699i −0.318715 + 0.307198i
\(979\) −5.74608 + 17.6846i −0.183646 + 0.565203i
\(980\) −11.0036 19.9844i −0.351498 0.638379i
\(981\) 2.54208 + 7.82372i 0.0811624 + 0.249792i
\(982\) −33.3440 17.7698i −1.06405 0.567056i
\(983\) 42.3922 + 21.5999i 1.35210 + 0.688930i 0.971772 0.235921i \(-0.0758106\pi\)
0.380330 + 0.924851i \(0.375811\pi\)
\(984\) 9.94355 2.63418i 0.316989 0.0839747i
\(985\) 20.4820 + 24.4564i 0.652612 + 0.779247i
\(986\) 1.58291 2.09646i 0.0504100 0.0667650i
\(987\) 1.27355 + 8.04089i 0.0405376 + 0.255944i
\(988\) 37.4669 34.8064i 1.19198 1.10734i
\(989\) −1.26107 1.73571i −0.0400996 0.0551924i
\(990\) −2.46823 6.46647i −0.0784456 0.205518i
\(991\) −9.91043 + 13.6405i −0.314815 + 0.433306i −0.936875 0.349664i \(-0.886296\pi\)
0.622060 + 0.782969i \(0.286296\pi\)
\(992\) 21.0438 + 13.2882i 0.668140 + 0.421902i
\(993\) 0.576163 + 0.576163i 0.0182840 + 0.0182840i
\(994\) −16.2846 + 11.3797i −0.516517 + 0.360943i
\(995\) −11.9950 + 2.75734i −0.380268 + 0.0874135i
\(996\) −4.21766 14.8143i −0.133642 0.469410i
\(997\) −1.23057 2.41514i −0.0389727 0.0764882i 0.870699 0.491816i \(-0.163667\pi\)
−0.909672 + 0.415328i \(0.863667\pi\)
\(998\) −1.97247 14.1317i −0.0624373 0.447331i
\(999\) −7.05639 −0.223254
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 300.2.w.a.223.15 yes 240
3.2 odd 2 900.2.bj.f.523.16 240
4.3 odd 2 inner 300.2.w.a.223.20 yes 240
12.11 even 2 900.2.bj.f.523.11 240
25.12 odd 20 inner 300.2.w.a.187.20 yes 240
75.62 even 20 900.2.bj.f.487.11 240
100.87 even 20 inner 300.2.w.a.187.15 240
300.287 odd 20 900.2.bj.f.487.16 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
300.2.w.a.187.15 240 100.87 even 20 inner
300.2.w.a.187.20 yes 240 25.12 odd 20 inner
300.2.w.a.223.15 yes 240 1.1 even 1 trivial
300.2.w.a.223.20 yes 240 4.3 odd 2 inner
900.2.bj.f.487.11 240 75.62 even 20
900.2.bj.f.487.16 240 300.287 odd 20
900.2.bj.f.523.11 240 12.11 even 2
900.2.bj.f.523.16 240 3.2 odd 2