Properties

Label 930.2.bk.a.47.16
Level $930$
Weight $2$
Character 930.47
Analytic conductor $7.426$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(47,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([10, 5, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.47");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bk (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: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(64\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 47.16
Character \(\chi\) \(=\) 930.47
Dual form 930.2.bk.a.653.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.156434 + 0.987688i) q^{2} +(-0.115485 - 1.72820i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(-2.08414 - 0.810158i) q^{5} +(1.72499 + 0.156287i) q^{6} +(2.37194 - 1.20856i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-2.97333 + 0.399160i) q^{9} +O(q^{10})\) \(q+(-0.156434 + 0.987688i) q^{2} +(-0.115485 - 1.72820i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(-2.08414 - 0.810158i) q^{5} +(1.72499 + 0.156287i) q^{6} +(2.37194 - 1.20856i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-2.97333 + 0.399160i) q^{9} +(1.12621 - 1.93175i) q^{10} +(-2.63793 - 0.857115i) q^{11} +(-0.424210 + 1.67930i) q^{12} +(0.917596 - 0.145333i) q^{13} +(0.822631 + 2.53180i) q^{14} +(-1.15943 + 3.69537i) q^{15} +(0.809017 + 0.587785i) q^{16} +(-1.36156 - 0.693749i) q^{17} +(0.0708850 - 2.99916i) q^{18} +(-1.62715 - 2.23958i) q^{19} +(1.73178 + 1.41454i) q^{20} +(-2.36256 - 3.95961i) q^{21} +(1.25923 - 2.47137i) q^{22} +(-0.646536 + 1.26890i) q^{23} +(-1.59226 - 0.681687i) q^{24} +(3.68729 + 3.37697i) q^{25} +0.929034i q^{26} +(1.03320 + 5.09240i) q^{27} +(-2.62932 + 0.416443i) q^{28} +(-1.38108 + 1.00341i) q^{29} +(-3.46850 - 1.72323i) q^{30} +(-4.79140 + 2.83593i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-1.17662 + 4.65785i) q^{33} +(0.898202 - 1.23627i) q^{34} +(-5.92258 + 0.597172i) q^{35} +(2.95115 + 0.539185i) q^{36} +(-1.76024 - 1.76024i) q^{37} +(2.46655 - 1.25677i) q^{38} +(-0.357132 - 1.56900i) q^{39} +(-1.66804 + 1.48918i) q^{40} +(0.267066 + 0.367584i) q^{41} +(4.28044 - 1.71405i) q^{42} +(-1.36663 + 8.62854i) q^{43} +(2.24396 + 1.63033i) q^{44} +(6.52022 + 1.57696i) q^{45} +(-1.15214 - 0.837075i) q^{46} +(-8.72599 + 1.38206i) q^{47} +(0.922379 - 1.46602i) q^{48} +(0.0509748 - 0.0701608i) q^{49} +(-3.91221 + 3.11362i) q^{50} +(-1.04169 + 2.43316i) q^{51} +(-0.917596 - 0.145333i) q^{52} +(0.749270 - 1.47053i) q^{53} +(-5.19133 + 0.223854i) q^{54} +(4.80342 + 3.92349i) q^{55} -2.66209i q^{56} +(-3.68253 + 3.07067i) q^{57} +(-0.775010 - 1.52104i) q^{58} +(-8.16490 - 5.93215i) q^{59} +(2.24461 - 3.15622i) q^{60} -1.40880 q^{61} +(-2.05148 - 5.17604i) q^{62} +(-6.57014 + 4.54024i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(-2.03014 - 0.440503i) q^{65} +(-4.41643 - 1.89078i) q^{66} +(-8.54103 - 8.54103i) q^{67} +(1.08054 + 1.08054i) q^{68} +(2.26757 + 0.970803i) q^{69} +(0.336677 - 5.94309i) q^{70} +(-1.44860 + 0.470678i) q^{71} +(-0.994208 + 2.83047i) q^{72} +(-1.04184 - 2.04472i) q^{73} +(2.01393 - 1.46320i) q^{74} +(5.41024 - 6.76235i) q^{75} +(0.855444 + 2.63279i) q^{76} +(-7.29289 + 1.15508i) q^{77} +(1.60555 - 0.107289i) q^{78} +(9.08294 - 2.95123i) q^{79} +(-1.20991 - 1.88046i) q^{80} +(8.68134 - 2.37367i) q^{81} +(-0.404837 + 0.206275i) q^{82} +(-6.23348 - 0.987287i) q^{83} +(1.02334 + 4.49588i) q^{84} +(2.27563 + 2.54895i) q^{85} +(-8.30852 - 2.69960i) q^{86} +(1.89359 + 2.27090i) q^{87} +(-1.96129 + 1.96129i) q^{88} +(-2.60352 + 8.01281i) q^{89} +(-2.57753 + 6.19325i) q^{90} +(2.00084 - 1.45369i) q^{91} +(1.00700 - 1.00700i) q^{92} +(5.45438 + 7.95297i) q^{93} -8.83476i q^{94} +(1.57680 + 5.98585i) q^{95} +(1.30368 + 1.14036i) q^{96} +(-9.79448 + 4.99054i) q^{97} +(0.0613228 + 0.0613228i) q^{98} +(8.18555 + 1.49553i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + 8 q^{3} - 12 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 512 q + 8 q^{3} - 12 q^{7} - 8 q^{10} - 8 q^{12} + 8 q^{15} + 128 q^{16} + 28 q^{22} + 32 q^{25} + 44 q^{27} + 8 q^{28} + 24 q^{30} + 8 q^{31} + 28 q^{33} + 176 q^{37} + 24 q^{42} - 40 q^{45} - 24 q^{46} + 12 q^{48} - 16 q^{51} - 40 q^{55} + 40 q^{57} + 56 q^{58} + 12 q^{60} - 32 q^{61} - 224 q^{63} + 32 q^{66} + 48 q^{67} + 24 q^{70} + 40 q^{73} - 32 q^{75} + 48 q^{76} - 76 q^{78} - 96 q^{81} + 24 q^{85} - 80 q^{87} - 72 q^{88} + 16 q^{90} + 80 q^{91} - 168 q^{93} - 112 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(-1\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.156434 + 0.987688i −0.110616 + 0.698401i
\(3\) −0.115485 1.72820i −0.0666751 0.997775i
\(4\) −0.951057 0.309017i −0.475528 0.154508i
\(5\) −2.08414 0.810158i −0.932056 0.362314i
\(6\) 1.72499 + 0.156287i 0.704222 + 0.0638038i
\(7\) 2.37194 1.20856i 0.896509 0.456794i 0.0558998 0.998436i \(-0.482197\pi\)
0.840609 + 0.541642i \(0.182197\pi\)
\(8\) 0.453990 0.891007i 0.160510 0.315018i
\(9\) −2.97333 + 0.399160i −0.991109 + 0.133053i
\(10\) 1.12621 1.93175i 0.356140 0.610872i
\(11\) −2.63793 0.857115i −0.795366 0.258430i −0.116978 0.993134i \(-0.537321\pi\)
−0.678387 + 0.734704i \(0.737321\pi\)
\(12\) −0.424210 + 1.67930i −0.122459 + 0.484772i
\(13\) 0.917596 0.145333i 0.254495 0.0403081i −0.0278831 0.999611i \(-0.508877\pi\)
0.282378 + 0.959303i \(0.408877\pi\)
\(14\) 0.822631 + 2.53180i 0.219857 + 0.676652i
\(15\) −1.15943 + 3.69537i −0.299362 + 0.954139i
\(16\) 0.809017 + 0.587785i 0.202254 + 0.146946i
\(17\) −1.36156 0.693749i −0.330226 0.168259i 0.281014 0.959704i \(-0.409329\pi\)
−0.611241 + 0.791445i \(0.709329\pi\)
\(18\) 0.0708850 2.99916i 0.0167077 0.706909i
\(19\) −1.62715 2.23958i −0.373294 0.513795i 0.580498 0.814261i \(-0.302858\pi\)
−0.953792 + 0.300466i \(0.902858\pi\)
\(20\) 1.73178 + 1.41454i 0.387239 + 0.316301i
\(21\) −2.36256 3.95961i −0.515552 0.864057i
\(22\) 1.25923 2.47137i 0.268468 0.526898i
\(23\) −0.646536 + 1.26890i −0.134812 + 0.264584i −0.948537 0.316667i \(-0.897436\pi\)
0.813725 + 0.581250i \(0.197436\pi\)
\(24\) −1.59226 0.681687i −0.325019 0.139149i
\(25\) 3.68729 + 3.37697i 0.737458 + 0.675393i
\(26\) 0.929034i 0.182199i
\(27\) 1.03320 + 5.09240i 0.198840 + 0.980032i
\(28\) −2.62932 + 0.416443i −0.496894 + 0.0787003i
\(29\) −1.38108 + 1.00341i −0.256460 + 0.186329i −0.708585 0.705626i \(-0.750666\pi\)
0.452125 + 0.891955i \(0.350666\pi\)
\(30\) −3.46850 1.72323i −0.633258 0.314618i
\(31\) −4.79140 + 2.83593i −0.860560 + 0.509349i
\(32\) −0.707107 + 0.707107i −0.125000 + 0.125000i
\(33\) −1.17662 + 4.65785i −0.204824 + 0.810827i
\(34\) 0.898202 1.23627i 0.154040 0.212018i
\(35\) −5.92258 + 0.597172i −1.00110 + 0.100940i
\(36\) 2.95115 + 0.539185i 0.491858 + 0.0898641i
\(37\) −1.76024 1.76024i −0.289381 0.289381i 0.547454 0.836835i \(-0.315597\pi\)
−0.836835 + 0.547454i \(0.815597\pi\)
\(38\) 2.46655 1.25677i 0.400127 0.203875i
\(39\) −0.357132 1.56900i −0.0571869 0.251241i
\(40\) −1.66804 + 1.48918i −0.263740 + 0.235460i
\(41\) 0.267066 + 0.367584i 0.0417087 + 0.0574070i 0.829362 0.558712i \(-0.188704\pi\)
−0.787653 + 0.616119i \(0.788704\pi\)
\(42\) 4.28044 1.71405i 0.660487 0.264484i
\(43\) −1.36663 + 8.62854i −0.208409 + 1.31584i 0.632457 + 0.774596i \(0.282047\pi\)
−0.840865 + 0.541244i \(0.817953\pi\)
\(44\) 2.24396 + 1.63033i 0.338289 + 0.245782i
\(45\) 6.52022 + 1.57696i 0.971976 + 0.235079i
\(46\) −1.15214 0.837075i −0.169873 0.123420i
\(47\) −8.72599 + 1.38206i −1.27282 + 0.201594i −0.756040 0.654526i \(-0.772868\pi\)
−0.516777 + 0.856120i \(0.672868\pi\)
\(48\) 0.922379 1.46602i 0.133134 0.211602i
\(49\) 0.0509748 0.0701608i 0.00728211 0.0100230i
\(50\) −3.91221 + 3.11362i −0.553270 + 0.440332i
\(51\) −1.04169 + 2.43316i −0.145866 + 0.340710i
\(52\) −0.917596 0.145333i −0.127248 0.0201540i
\(53\) 0.749270 1.47053i 0.102920 0.201992i −0.833804 0.552061i \(-0.813842\pi\)
0.936724 + 0.350068i \(0.113842\pi\)
\(54\) −5.19133 + 0.223854i −0.706450 + 0.0304627i
\(55\) 4.80342 + 3.92349i 0.647693 + 0.529043i
\(56\) 2.66209i 0.355737i
\(57\) −3.68253 + 3.07067i −0.487762 + 0.406721i
\(58\) −0.775010 1.52104i −0.101764 0.199723i
\(59\) −8.16490 5.93215i −1.06298 0.772300i −0.0883419 0.996090i \(-0.528157\pi\)
−0.974637 + 0.223791i \(0.928157\pi\)
\(60\) 2.24461 3.15622i 0.289778 0.407466i
\(61\) −1.40880 −0.180378 −0.0901892 0.995925i \(-0.528747\pi\)
−0.0901892 + 0.995925i \(0.528747\pi\)
\(62\) −2.05148 5.17604i −0.260538 0.657358i
\(63\) −6.57014 + 4.54024i −0.827760 + 0.572016i
\(64\) −0.587785 0.809017i −0.0734732 0.101127i
\(65\) −2.03014 0.440503i −0.251808 0.0546377i
\(66\) −4.41643 1.89078i −0.543626 0.232740i
\(67\) −8.54103 8.54103i −1.04345 1.04345i −0.999012 0.0444405i \(-0.985849\pi\)
−0.0444405 0.999012i \(-0.514151\pi\)
\(68\) 1.08054 + 1.08054i 0.131035 + 0.131035i
\(69\) 2.26757 + 0.970803i 0.272983 + 0.116871i
\(70\) 0.336677 5.94309i 0.0402406 0.710335i
\(71\) −1.44860 + 0.470678i −0.171917 + 0.0558592i −0.393711 0.919234i \(-0.628809\pi\)
0.221794 + 0.975094i \(0.428809\pi\)
\(72\) −0.994208 + 2.83047i −0.117169 + 0.333574i
\(73\) −1.04184 2.04472i −0.121938 0.239316i 0.821966 0.569536i \(-0.192877\pi\)
−0.943904 + 0.330220i \(0.892877\pi\)
\(74\) 2.01393 1.46320i 0.234114 0.170094i
\(75\) 5.41024 6.76235i 0.624720 0.780849i
\(76\) 0.855444 + 2.63279i 0.0981261 + 0.302001i
\(77\) −7.29289 + 1.15508i −0.831102 + 0.131634i
\(78\) 1.60555 0.107289i 0.181793 0.0121481i
\(79\) 9.08294 2.95123i 1.02191 0.332039i 0.250323 0.968162i \(-0.419463\pi\)
0.771587 + 0.636124i \(0.219463\pi\)
\(80\) −1.20991 1.88046i −0.135272 0.210242i
\(81\) 8.68134 2.37367i 0.964594 0.263741i
\(82\) −0.404837 + 0.206275i −0.0447068 + 0.0227792i
\(83\) −6.23348 0.987287i −0.684214 0.108369i −0.195356 0.980732i \(-0.562586\pi\)
−0.488858 + 0.872364i \(0.662586\pi\)
\(84\) 1.02334 + 4.49588i 0.111656 + 0.490541i
\(85\) 2.27563 + 2.54895i 0.246827 + 0.276472i
\(86\) −8.30852 2.69960i −0.895931 0.291106i
\(87\) 1.89359 + 2.27090i 0.203014 + 0.243466i
\(88\) −1.96129 + 1.96129i −0.209074 + 0.209074i
\(89\) −2.60352 + 8.01281i −0.275972 + 0.849356i 0.712988 + 0.701176i \(0.247341\pi\)
−0.988960 + 0.148180i \(0.952659\pi\)
\(90\) −2.57753 + 6.19325i −0.271695 + 0.652826i
\(91\) 2.00084 1.45369i 0.209745 0.152389i
\(92\) 1.00700 1.00700i 0.104987 0.104987i
\(93\) 5.45438 + 7.95297i 0.565593 + 0.824684i
\(94\) 8.83476i 0.911236i
\(95\) 1.57680 + 5.98585i 0.161776 + 0.614136i
\(96\) 1.30368 + 1.14036i 0.133056 + 0.116387i
\(97\) −9.79448 + 4.99054i −0.994479 + 0.506712i −0.873960 0.485999i \(-0.838456\pi\)
−0.120520 + 0.992711i \(0.538456\pi\)
\(98\) 0.0613228 + 0.0613228i 0.00619454 + 0.00619454i
\(99\) 8.18555 + 1.49553i 0.822679 + 0.150306i
\(100\) −2.46328 4.35112i −0.246328 0.435112i
\(101\) 8.71855 2.83283i 0.867528 0.281877i 0.158759 0.987317i \(-0.449251\pi\)
0.708769 + 0.705441i \(0.249251\pi\)
\(102\) −2.24024 1.40950i −0.221817 0.139561i
\(103\) −1.19804 + 7.56415i −0.118047 + 0.745318i 0.855664 + 0.517531i \(0.173149\pi\)
−0.973711 + 0.227787i \(0.926851\pi\)
\(104\) 0.287087 0.883564i 0.0281512 0.0866405i
\(105\) 1.71600 + 10.1664i 0.167464 + 0.992142i
\(106\) 1.33521 + 0.970087i 0.129687 + 0.0942231i
\(107\) 4.33025 + 2.20637i 0.418621 + 0.213298i 0.650596 0.759424i \(-0.274519\pi\)
−0.231976 + 0.972722i \(0.574519\pi\)
\(108\) 0.591005 5.16243i 0.0568695 0.496755i
\(109\) 4.64345 6.39115i 0.444761 0.612162i −0.526500 0.850175i \(-0.676496\pi\)
0.971262 + 0.238013i \(0.0764962\pi\)
\(110\) −4.62660 + 4.13051i −0.441129 + 0.393829i
\(111\) −2.83875 + 3.24531i −0.269443 + 0.308032i
\(112\) 2.62932 + 0.416443i 0.248447 + 0.0393501i
\(113\) 4.42678 2.25556i 0.416436 0.212185i −0.233202 0.972428i \(-0.574920\pi\)
0.649638 + 0.760243i \(0.274920\pi\)
\(114\) −2.45679 4.11755i −0.230100 0.385644i
\(115\) 2.37548 2.12077i 0.221515 0.197763i
\(116\) 1.62356 0.527525i 0.150743 0.0489795i
\(117\) −2.67030 + 0.798390i −0.246869 + 0.0738112i
\(118\) 7.13638 7.13638i 0.656957 0.656957i
\(119\) −4.06797 −0.372910
\(120\) 2.76623 + 2.71072i 0.252521 + 0.247453i
\(121\) −2.67516 1.94362i −0.243196 0.176692i
\(122\) 0.220385 1.39146i 0.0199527 0.125976i
\(123\) 0.604416 0.503992i 0.0544984 0.0454435i
\(124\) 5.43324 1.21651i 0.487919 0.109246i
\(125\) −4.94895 10.0254i −0.442648 0.896695i
\(126\) −3.45654 7.19950i −0.307933 0.641383i
\(127\) −1.46395 9.24300i −0.129904 0.820184i −0.963480 0.267779i \(-0.913710\pi\)
0.833576 0.552405i \(-0.186290\pi\)
\(128\) 0.891007 0.453990i 0.0787546 0.0401275i
\(129\) 15.0696 + 1.36534i 1.32681 + 0.120211i
\(130\) 0.752664 1.93624i 0.0660130 0.169819i
\(131\) 6.50793 + 2.11455i 0.568600 + 0.184749i 0.579187 0.815194i \(-0.303370\pi\)
−0.0105869 + 0.999944i \(0.503370\pi\)
\(132\) 2.55839 4.06628i 0.222679 0.353924i
\(133\) −6.56618 3.34564i −0.569360 0.290103i
\(134\) 9.77198 7.09976i 0.844171 0.613326i
\(135\) 1.97231 11.4503i 0.169749 0.985487i
\(136\) −1.23627 + 0.898202i −0.106009 + 0.0770202i
\(137\) 16.3585 2.59093i 1.39760 0.221358i 0.588248 0.808681i \(-0.299818\pi\)
0.809353 + 0.587322i \(0.199818\pi\)
\(138\) −1.31358 + 2.08779i −0.111819 + 0.177724i
\(139\) 8.32973 11.4649i 0.706518 0.972439i −0.293347 0.956006i \(-0.594769\pi\)
0.999865 0.0164327i \(-0.00523093\pi\)
\(140\) 5.81725 + 1.26224i 0.491647 + 0.106678i
\(141\) 3.39619 + 14.9206i 0.286011 + 1.25654i
\(142\) −0.238273 1.50439i −0.0199954 0.126246i
\(143\) −2.54512 0.403108i −0.212834 0.0337095i
\(144\) −2.64009 1.42475i −0.220008 0.118729i
\(145\) 3.69129 0.972361i 0.306545 0.0807502i
\(146\) 2.18253 0.709145i 0.180627 0.0586893i
\(147\) −0.127138 0.0799920i −0.0104862 0.00659763i
\(148\) 1.13014 + 2.21803i 0.0928970 + 0.182321i
\(149\) 12.9942 1.06452 0.532262 0.846580i \(-0.321342\pi\)
0.532262 + 0.846580i \(0.321342\pi\)
\(150\) 5.83274 + 6.40149i 0.476242 + 0.522680i
\(151\) 6.78820 20.8919i 0.552416 1.70016i −0.150257 0.988647i \(-0.548010\pi\)
0.702673 0.711513i \(-0.251990\pi\)
\(152\) −2.73419 + 0.433054i −0.221772 + 0.0351253i
\(153\) 4.32527 + 1.51926i 0.349678 + 0.122825i
\(154\) 7.38380i 0.595003i
\(155\) 12.2835 2.02870i 0.986634 0.162949i
\(156\) −0.145196 + 1.60257i −0.0116250 + 0.128308i
\(157\) −10.0484 1.59151i −0.801950 0.127016i −0.258012 0.966142i \(-0.583067\pi\)
−0.543938 + 0.839125i \(0.683067\pi\)
\(158\) 1.49401 + 9.43278i 0.118857 + 0.750432i
\(159\) −2.62789 1.12506i −0.208405 0.0892233i
\(160\) 2.04658 0.900842i 0.161796 0.0712178i
\(161\) 3.79113i 0.298783i
\(162\) 0.986382 + 8.94578i 0.0774975 + 0.702847i
\(163\) −22.6753 11.5536i −1.77607 0.904951i −0.925094 0.379739i \(-0.876014\pi\)
−0.850972 0.525212i \(-0.823986\pi\)
\(164\) −0.140405 0.432121i −0.0109638 0.0337430i
\(165\) 6.22584 8.75436i 0.484681 0.681526i
\(166\) 1.95026 6.00229i 0.151370 0.465868i
\(167\) −2.38862 + 15.0812i −0.184837 + 1.16702i 0.704480 + 0.709724i \(0.251180\pi\)
−0.889317 + 0.457291i \(0.848820\pi\)
\(168\) −4.60061 + 0.307430i −0.354945 + 0.0237188i
\(169\) −11.5429 + 3.75051i −0.887913 + 0.288501i
\(170\) −2.87355 + 1.84887i −0.220391 + 0.141802i
\(171\) 5.73200 + 6.00951i 0.438337 + 0.459559i
\(172\) 3.96610 7.78392i 0.302413 0.593518i
\(173\) −0.379437 2.39567i −0.0288480 0.182139i 0.969057 0.246838i \(-0.0793915\pi\)
−0.997905 + 0.0646984i \(0.979391\pi\)
\(174\) −2.53916 + 1.51503i −0.192493 + 0.114854i
\(175\) 12.8273 + 3.55364i 0.969653 + 0.268630i
\(176\) −1.63033 2.24396i −0.122891 0.169145i
\(177\) −9.30899 + 14.7956i −0.699707 + 1.11211i
\(178\) −7.50687 3.82494i −0.562664 0.286692i
\(179\) 0.534401 1.64472i 0.0399430 0.122932i −0.929097 0.369837i \(-0.879414\pi\)
0.969040 + 0.246905i \(0.0794135\pi\)
\(180\) −5.71379 3.51463i −0.425880 0.261965i
\(181\) −11.2825 −0.838622 −0.419311 0.907843i \(-0.637728\pi\)
−0.419311 + 0.907843i \(0.637728\pi\)
\(182\) 1.12280 + 2.20361i 0.0832272 + 0.163343i
\(183\) 0.162695 + 2.43468i 0.0120267 + 0.179977i
\(184\) 0.837075 + 1.15214i 0.0617100 + 0.0849365i
\(185\) 2.24251 + 5.09465i 0.164873 + 0.374566i
\(186\) −8.70831 + 4.14311i −0.638524 + 0.303788i
\(187\) 2.99707 + 2.99707i 0.219168 + 0.219168i
\(188\) 8.72599 + 1.38206i 0.636408 + 0.100797i
\(189\) 8.60517 + 10.8302i 0.625934 + 0.787779i
\(190\) −6.15882 + 0.620992i −0.446808 + 0.0450515i
\(191\) 4.46054i 0.322753i 0.986893 + 0.161377i \(0.0515934\pi\)
−0.986893 + 0.161377i \(0.948407\pi\)
\(192\) −1.33026 + 1.10924i −0.0960033 + 0.0800523i
\(193\) 5.06111 + 9.93299i 0.364307 + 0.714993i 0.998296 0.0583492i \(-0.0185837\pi\)
−0.633989 + 0.773342i \(0.718584\pi\)
\(194\) −3.39690 10.4546i −0.243883 0.750596i
\(195\) −0.526826 + 3.55936i −0.0377268 + 0.254891i
\(196\) −0.0701608 + 0.0509748i −0.00501148 + 0.00364106i
\(197\) −10.4983 20.6041i −0.747975 1.46798i −0.879110 0.476618i \(-0.841862\pi\)
0.131136 0.991364i \(-0.458138\pi\)
\(198\) −2.75762 + 7.85082i −0.195975 + 0.557934i
\(199\) 10.4454 14.3768i 0.740453 1.01915i −0.258140 0.966108i \(-0.583109\pi\)
0.998592 0.0530382i \(-0.0168905\pi\)
\(200\) 4.68289 1.75229i 0.331131 0.123905i
\(201\) −13.7742 + 15.7469i −0.971558 + 1.11070i
\(202\) 1.43407 + 9.05436i 0.100901 + 0.637062i
\(203\) −2.06315 + 4.04916i −0.144805 + 0.284195i
\(204\) 1.74260 1.99217i 0.122006 0.139480i
\(205\) −0.258801 0.982463i −0.0180755 0.0686182i
\(206\) −7.28361 2.36659i −0.507473 0.164888i
\(207\) 1.41587 4.03092i 0.0984097 0.280168i
\(208\) 0.827775 + 0.421773i 0.0573959 + 0.0292447i
\(209\) 2.37273 + 7.30251i 0.164125 + 0.505126i
\(210\) −10.3097 + 0.104491i −0.711437 + 0.00721058i
\(211\) 17.5098 1.20542 0.602712 0.797959i \(-0.294087\pi\)
0.602712 + 0.797959i \(0.294087\pi\)
\(212\) −1.16702 + 1.16702i −0.0801510 + 0.0801510i
\(213\) 0.980715 + 2.44911i 0.0671975 + 0.167810i
\(214\) −2.85661 + 3.93178i −0.195274 + 0.268771i
\(215\) 9.83872 16.8759i 0.670995 1.15093i
\(216\) 5.00642 + 1.39131i 0.340644 + 0.0946667i
\(217\) −7.93750 + 12.5174i −0.538832 + 0.849735i
\(218\) 5.58607 + 5.58607i 0.378337 + 0.378337i
\(219\) −3.41336 + 2.03663i −0.230654 + 0.137623i
\(220\) −3.35590 5.21580i −0.226255 0.351649i
\(221\) −1.35018 0.438702i −0.0908232 0.0295103i
\(222\) −2.76128 3.31148i −0.185325 0.222252i
\(223\) −11.4000 + 11.4000i −0.763401 + 0.763401i −0.976936 0.213534i \(-0.931502\pi\)
0.213534 + 0.976936i \(0.431502\pi\)
\(224\) −0.822631 + 2.53180i −0.0549644 + 0.169163i
\(225\) −12.3115 8.56901i −0.820764 0.571267i
\(226\) 1.53529 + 4.72512i 0.102126 + 0.314311i
\(227\) 3.10031 19.5746i 0.205775 1.29921i −0.641115 0.767445i \(-0.721528\pi\)
0.846890 0.531768i \(-0.178472\pi\)
\(228\) 4.45118 1.78242i 0.294787 0.118044i
\(229\) 1.36793 + 1.88280i 0.0903956 + 0.124419i 0.851819 0.523836i \(-0.175499\pi\)
−0.761424 + 0.648254i \(0.775499\pi\)
\(230\) 1.72305 + 2.67799i 0.113615 + 0.176582i
\(231\) 2.83842 + 12.4702i 0.186754 + 0.820476i
\(232\) 0.267050 + 1.68609i 0.0175327 + 0.110697i
\(233\) 1.54513 + 9.75557i 0.101225 + 0.639109i 0.985178 + 0.171534i \(0.0548722\pi\)
−0.883953 + 0.467575i \(0.845128\pi\)
\(234\) −0.370833 2.76232i −0.0242421 0.180579i
\(235\) 19.3059 + 4.18902i 1.25938 + 0.273262i
\(236\) 5.93215 + 8.16490i 0.386150 + 0.531490i
\(237\) −6.14924 15.3563i −0.399436 0.997497i
\(238\) 0.636371 4.01789i 0.0412498 0.260441i
\(239\) 2.05059 + 6.31108i 0.132642 + 0.408230i 0.995216 0.0977015i \(-0.0311490\pi\)
−0.862574 + 0.505931i \(0.831149\pi\)
\(240\) −3.11008 + 2.30812i −0.200755 + 0.148989i
\(241\) −0.603516 + 1.85743i −0.0388759 + 0.119648i −0.968611 0.248581i \(-0.920036\pi\)
0.929735 + 0.368229i \(0.120036\pi\)
\(242\) 2.33817 2.33817i 0.150304 0.150304i
\(243\) −5.10472 14.7289i −0.327468 0.944862i
\(244\) 1.33985 + 0.435343i 0.0857750 + 0.0278700i
\(245\) −0.163080 + 0.104927i −0.0104188 + 0.00670356i
\(246\) 0.403236 + 0.675816i 0.0257094 + 0.0430885i
\(247\) −1.81855 1.81855i −0.115712 0.115712i
\(248\) 0.351588 + 5.55665i 0.0223258 + 0.352848i
\(249\) −0.986355 + 10.8867i −0.0625077 + 0.689917i
\(250\) 10.6761 3.31971i 0.675217 0.209957i
\(251\) 2.45208 3.37501i 0.154774 0.213028i −0.724587 0.689183i \(-0.757970\pi\)
0.879362 + 0.476154i \(0.157970\pi\)
\(252\) 7.65159 2.28774i 0.482005 0.144114i
\(253\) 2.79311 2.79311i 0.175601 0.175601i
\(254\) 9.35822 0.587187
\(255\) 4.14228 4.22711i 0.259400 0.264712i
\(256\) 0.309017 + 0.951057i 0.0193136 + 0.0594410i
\(257\) 17.7186 + 9.02806i 1.10525 + 0.563155i 0.908747 0.417348i \(-0.137040\pi\)
0.196507 + 0.980502i \(0.437040\pi\)
\(258\) −3.70594 + 14.6705i −0.230722 + 0.913346i
\(259\) −6.30253 2.04782i −0.391620 0.127245i
\(260\) 1.79466 + 1.04629i 0.111300 + 0.0648883i
\(261\) 3.70588 3.53474i 0.229388 0.218795i
\(262\) −3.10658 + 6.09702i −0.191925 + 0.376675i
\(263\) −3.88831 24.5498i −0.239763 1.51381i −0.754410 0.656403i \(-0.772077\pi\)
0.514647 0.857402i \(-0.327923\pi\)
\(264\) 3.61599 + 3.16300i 0.222549 + 0.194669i
\(265\) −2.75294 + 2.45776i −0.169112 + 0.150979i
\(266\) 4.33162 5.96197i 0.265589 0.365552i
\(267\) 14.1484 + 3.57404i 0.865866 + 0.218727i
\(268\) 5.48368 + 10.7623i 0.334969 + 0.657413i
\(269\) −20.6230 + 14.9835i −1.25741 + 0.913560i −0.998627 0.0523765i \(-0.983320\pi\)
−0.258780 + 0.965936i \(0.583320\pi\)
\(270\) 11.0008 + 3.73925i 0.669488 + 0.227564i
\(271\) −7.74942 23.8502i −0.470743 1.44880i −0.851613 0.524171i \(-0.824375\pi\)
0.380870 0.924629i \(-0.375625\pi\)
\(272\) −0.693749 1.36156i −0.0420647 0.0825566i
\(273\) −2.74333 3.28996i −0.166034 0.199118i
\(274\) 16.5624i 1.00057i
\(275\) −6.83236 12.0686i −0.412007 0.727766i
\(276\) −1.85659 1.62401i −0.111754 0.0977537i
\(277\) 4.41612 + 0.699444i 0.265339 + 0.0420255i 0.287686 0.957725i \(-0.407114\pi\)
−0.0223474 + 0.999750i \(0.507114\pi\)
\(278\) 10.0207 + 10.0207i 0.601000 + 0.601000i
\(279\) 13.1144 10.3447i 0.785138 0.619321i
\(280\) −2.15671 + 5.54817i −0.128888 + 0.331567i
\(281\) 12.2443 + 16.8529i 0.730437 + 1.00536i 0.999112 + 0.0421289i \(0.0134140\pi\)
−0.268676 + 0.963231i \(0.586586\pi\)
\(282\) −15.2682 + 1.02028i −0.909208 + 0.0607567i
\(283\) 8.19495 + 16.0835i 0.487139 + 0.956065i 0.995486 + 0.0949121i \(0.0302570\pi\)
−0.508346 + 0.861153i \(0.669743\pi\)
\(284\) 1.52315 0.0903821
\(285\) 10.1626 3.41629i 0.601982 0.202364i
\(286\) 0.796289 2.45073i 0.0470856 0.144914i
\(287\) 1.07771 + 0.549122i 0.0636154 + 0.0324137i
\(288\) 1.82021 2.38471i 0.107257 0.140520i
\(289\) −8.61980 11.8641i −0.507047 0.697890i
\(290\) 0.382946 + 3.79795i 0.0224874 + 0.223023i
\(291\) 9.75574 + 16.3505i 0.571892 + 0.958481i
\(292\) 0.358992 + 2.26659i 0.0210084 + 0.132642i
\(293\) −4.40529 + 8.64587i −0.257360 + 0.505097i −0.983146 0.182823i \(-0.941476\pi\)
0.725786 + 0.687921i \(0.241476\pi\)
\(294\) 0.0988960 0.113060i 0.00576773 0.00659377i
\(295\) 12.2108 + 18.9783i 0.710942 + 1.10496i
\(296\) −2.36751 + 0.769251i −0.137609 + 0.0447118i
\(297\) 1.63926 14.3190i 0.0951195 0.830870i
\(298\) −2.03274 + 12.8342i −0.117753 + 0.743464i
\(299\) −0.408846 + 1.25830i −0.0236442 + 0.0727693i
\(300\) −7.23512 + 4.75952i −0.417720 + 0.274791i
\(301\) 7.18658 + 22.1180i 0.414228 + 1.27486i
\(302\) 19.5728 + 9.97284i 1.12629 + 0.573872i
\(303\) −5.90254 14.7402i −0.339092 0.846803i
\(304\) 2.76827i 0.158771i
\(305\) 2.93614 + 1.14135i 0.168123 + 0.0653535i
\(306\) −2.17718 + 4.03436i −0.124461 + 0.230629i
\(307\) −4.23103 26.7137i −0.241477 1.52463i −0.748755 0.662846i \(-0.769348\pi\)
0.507278 0.861782i \(-0.330652\pi\)
\(308\) 7.29289 + 1.15508i 0.415551 + 0.0658168i
\(309\) 13.2107 + 1.19691i 0.751530 + 0.0680899i
\(310\) 0.0821609 + 12.4496i 0.00466643 + 0.707091i
\(311\) 5.99066i 0.339699i 0.985470 + 0.169850i \(0.0543282\pi\)
−0.985470 + 0.169850i \(0.945672\pi\)
\(312\) −1.56013 0.394105i −0.0883247 0.0223118i
\(313\) −22.6965 + 3.59477i −1.28288 + 0.203189i −0.760397 0.649459i \(-0.774995\pi\)
−0.522486 + 0.852648i \(0.674995\pi\)
\(314\) 3.14383 9.67572i 0.177417 0.546033i
\(315\) 17.3714 4.13965i 0.978768 0.233243i
\(316\) −9.55036 −0.537250
\(317\) 1.34004 + 2.62997i 0.0752639 + 0.147714i 0.925572 0.378571i \(-0.123585\pi\)
−0.850308 + 0.526285i \(0.823585\pi\)
\(318\) 1.52230 2.41953i 0.0853666 0.135681i
\(319\) 4.50323 1.46319i 0.252132 0.0819228i
\(320\) 0.569596 + 2.16230i 0.0318414 + 0.120876i
\(321\) 3.31297 7.73832i 0.184912 0.431911i
\(322\) −3.74445 0.593063i −0.208670 0.0330501i
\(323\) 0.661755 + 4.17815i 0.0368210 + 0.232479i
\(324\) −8.98995 0.425191i −0.499442 0.0236217i
\(325\) 3.87422 + 2.56281i 0.214903 + 0.142159i
\(326\) 14.9586 20.5887i 0.828479 1.14030i
\(327\) −11.5814 7.28671i −0.640454 0.402956i
\(328\) 0.448765 0.0710775i 0.0247789 0.00392460i
\(329\) −19.0272 + 13.8241i −1.04900 + 0.762146i
\(330\) 7.67264 + 7.51867i 0.422365 + 0.413889i
\(331\) 18.5915 13.5075i 1.02188 0.742441i 0.0552144 0.998475i \(-0.482416\pi\)
0.966668 + 0.256034i \(0.0824158\pi\)
\(332\) 5.62331 + 2.86522i 0.308619 + 0.157249i
\(333\) 5.93637 + 4.53114i 0.325311 + 0.248305i
\(334\) −14.5218 4.71843i −0.794599 0.258181i
\(335\) 10.8811 + 24.7203i 0.594499 + 1.35061i
\(336\) 0.416049 4.59207i 0.0226974 0.250518i
\(337\) −5.59836 + 2.85251i −0.304962 + 0.155386i −0.599774 0.800169i \(-0.704743\pi\)
0.294812 + 0.955555i \(0.404743\pi\)
\(338\) −1.89863 11.9875i −0.103272 0.652032i
\(339\) −4.40927 7.38986i −0.239479 0.401362i
\(340\) −1.37659 3.12740i −0.0746560 0.169607i
\(341\) 15.0701 3.37422i 0.816091 0.182724i
\(342\) −6.83221 + 4.72134i −0.369444 + 0.255301i
\(343\) −2.87898 + 18.1772i −0.155450 + 0.981476i
\(344\) 7.06765 + 5.13495i 0.381062 + 0.276858i
\(345\) −3.93943 3.86038i −0.212092 0.207836i
\(346\) 2.42553 0.130397
\(347\) 17.6941 17.6941i 0.949872 0.949872i −0.0489307 0.998802i \(-0.515581\pi\)
0.998802 + 0.0489307i \(0.0155813\pi\)
\(348\) −1.09916 2.74490i −0.0589213 0.147142i
\(349\) −18.3385 + 5.95854i −0.981638 + 0.318954i −0.755505 0.655143i \(-0.772608\pi\)
−0.226133 + 0.974096i \(0.572608\pi\)
\(350\) −5.51652 + 12.1135i −0.294870 + 0.647492i
\(351\) 1.68815 + 4.52260i 0.0901070 + 0.241399i
\(352\) 2.47137 1.25923i 0.131724 0.0671170i
\(353\) −5.60708 0.888075i −0.298435 0.0472675i 0.00542143 0.999985i \(-0.498274\pi\)
−0.303856 + 0.952718i \(0.598274\pi\)
\(354\) −13.1572 11.5089i −0.699298 0.611693i
\(355\) 3.40041 + 0.192634i 0.180475 + 0.0102239i
\(356\) 4.95219 6.81610i 0.262465 0.361253i
\(357\) 0.469788 + 7.03026i 0.0248638 + 0.372081i
\(358\) 1.54087 + 0.785113i 0.0814375 + 0.0414945i
\(359\) −25.5492 18.5626i −1.34843 0.979695i −0.999088 0.0427009i \(-0.986404\pi\)
−0.349346 0.936994i \(-0.613596\pi\)
\(360\) 4.36520 5.09363i 0.230066 0.268458i
\(361\) 3.50322 10.7818i 0.184380 0.567463i
\(362\) 1.76497 11.1436i 0.0927649 0.585695i
\(363\) −3.05001 + 4.84766i −0.160084 + 0.254436i
\(364\) −2.35213 + 0.764252i −0.123285 + 0.0400577i
\(365\) 0.514789 + 5.10554i 0.0269453 + 0.267236i
\(366\) −2.43016 0.220177i −0.127026 0.0115088i
\(367\) −17.9825 17.9825i −0.938681 0.938681i 0.0595447 0.998226i \(-0.481035\pi\)
−0.998226 + 0.0595447i \(0.981035\pi\)
\(368\) −1.26890 + 0.646536i −0.0661459 + 0.0337030i
\(369\) −0.940799 0.986346i −0.0489760 0.0513471i
\(370\) −5.38273 + 1.41792i −0.279835 + 0.0737143i
\(371\) 4.39354i 0.228101i
\(372\) −2.72983 9.24922i −0.141535 0.479550i
\(373\) −16.6577 + 16.6577i −0.862502 + 0.862502i −0.991628 0.129127i \(-0.958783\pi\)
0.129127 + 0.991628i \(0.458783\pi\)
\(374\) −3.42902 + 2.49133i −0.177310 + 0.128824i
\(375\) −16.7543 + 9.71054i −0.865187 + 0.501450i
\(376\) −2.73009 + 8.40236i −0.140794 + 0.433319i
\(377\) −1.12144 + 1.12144i −0.0577573 + 0.0577573i
\(378\) −12.0430 + 6.80502i −0.619424 + 0.350012i
\(379\) 0.522705 + 0.169837i 0.0268496 + 0.00872395i 0.322411 0.946600i \(-0.395507\pi\)
−0.295561 + 0.955324i \(0.595507\pi\)
\(380\) 0.350106 6.18014i 0.0179601 0.317035i
\(381\) −15.8047 + 3.59741i −0.809697 + 0.184301i
\(382\) −4.40562 0.697782i −0.225411 0.0357016i
\(383\) −20.0815 + 10.2320i −1.02611 + 0.522831i −0.884230 0.467052i \(-0.845316\pi\)
−0.141884 + 0.989883i \(0.545316\pi\)
\(384\) −0.887482 1.48741i −0.0452891 0.0759038i
\(385\) 16.1352 + 3.50104i 0.822326 + 0.178430i
\(386\) −10.6024 + 3.44494i −0.539650 + 0.175343i
\(387\) 0.619258 26.2010i 0.0314786 1.33187i
\(388\) 10.8573 1.71962i 0.551194 0.0873006i
\(389\) −3.70906 11.4153i −0.188057 0.578779i 0.811931 0.583754i \(-0.198417\pi\)
−0.999988 + 0.00497425i \(0.998417\pi\)
\(390\) −3.43312 1.07715i −0.173843 0.0545434i
\(391\) 1.76059 1.27915i 0.0890370 0.0646892i
\(392\) −0.0393716 0.0772712i −0.00198857 0.00390279i
\(393\) 2.90280 11.4912i 0.146427 0.579653i
\(394\) 21.9927 7.14588i 1.10798 0.360004i
\(395\) −21.3211 1.20784i −1.07278 0.0607732i
\(396\) −7.32278 3.95181i −0.367984 0.198586i
\(397\) 14.8881 + 14.8881i 0.747212 + 0.747212i 0.973955 0.226742i \(-0.0728075\pi\)
−0.226742 + 0.973955i \(0.572808\pi\)
\(398\) 12.5658 + 12.5658i 0.629867 + 0.629867i
\(399\) −5.02362 + 11.7340i −0.251496 + 0.587436i
\(400\) 0.998148 + 4.89936i 0.0499074 + 0.244968i
\(401\) 7.86252 + 10.8218i 0.392636 + 0.540417i 0.958877 0.283823i \(-0.0916028\pi\)
−0.566241 + 0.824240i \(0.691603\pi\)
\(402\) −13.3983 16.0680i −0.668246 0.801399i
\(403\) −3.98441 + 3.29859i −0.198478 + 0.164314i
\(404\) −9.16722 −0.456086
\(405\) −20.0162 2.08620i −0.994612 0.103664i
\(406\) −3.67656 2.67117i −0.182464 0.132568i
\(407\) 3.13465 + 6.15210i 0.155379 + 0.304949i
\(408\) 1.69504 + 2.03279i 0.0839170 + 0.100638i
\(409\) 16.9980i 0.840499i −0.907409 0.420250i \(-0.861943\pi\)
0.907409 0.420250i \(-0.138057\pi\)
\(410\) 1.01085 0.101924i 0.0499225 0.00503366i
\(411\) −6.36680 27.9715i −0.314051 1.37973i
\(412\) 3.47686 6.82372i 0.171292 0.336180i
\(413\) −26.5360 4.20289i −1.30575 0.206811i
\(414\) 3.75980 + 2.02901i 0.184784 + 0.0997205i
\(415\) 12.1916 + 7.10775i 0.598462 + 0.348906i
\(416\) −0.546072 + 0.751604i −0.0267734 + 0.0368504i
\(417\) −20.7755 13.0714i −1.01738 0.640109i
\(418\) −7.58379 + 1.20115i −0.370935 + 0.0587503i
\(419\) −27.8897 20.2631i −1.36250 0.989916i −0.998281 0.0586039i \(-0.981335\pi\)
−0.364222 0.931312i \(-0.618665\pi\)
\(420\) 1.50959 10.1991i 0.0736603 0.497666i
\(421\) 1.40647 + 1.02186i 0.0685471 + 0.0498024i 0.621531 0.783390i \(-0.286511\pi\)
−0.552984 + 0.833192i \(0.686511\pi\)
\(422\) −2.73913 + 17.2942i −0.133339 + 0.841869i
\(423\) 25.3936 7.59239i 1.23468 0.369155i
\(424\) −0.970087 1.33521i −0.0471116 0.0648435i
\(425\) −2.67769 7.15599i −0.129887 0.347116i
\(426\) −2.57237 + 0.585516i −0.124632 + 0.0283684i
\(427\) −3.34159 + 1.70262i −0.161711 + 0.0823958i
\(428\) −3.43650 3.43650i −0.166110 0.166110i
\(429\) −0.402727 + 4.44502i −0.0194438 + 0.214608i
\(430\) 15.1290 + 12.3576i 0.729586 + 0.595935i
\(431\) 18.0649 24.8643i 0.870158 1.19767i −0.108893 0.994053i \(-0.534731\pi\)
0.979051 0.203616i \(-0.0652693\pi\)
\(432\) −2.15736 + 4.72713i −0.103796 + 0.227434i
\(433\) 28.4839 28.4839i 1.36885 1.36885i 0.506769 0.862082i \(-0.330840\pi\)
0.862082 0.506769i \(-0.169160\pi\)
\(434\) −11.1216 9.79792i −0.533852 0.470315i
\(435\) −2.10672 6.26697i −0.101009 0.300478i
\(436\) −6.39115 + 4.64345i −0.306081 + 0.222381i
\(437\) 3.89381 0.616719i 0.186266 0.0295017i
\(438\) −1.47759 3.68994i −0.0706020 0.176312i
\(439\) 9.78098i 0.466821i 0.972378 + 0.233410i \(0.0749885\pi\)
−0.972378 + 0.233410i \(0.925011\pi\)
\(440\) 5.67656 2.49865i 0.270619 0.119119i
\(441\) −0.123559 + 0.228958i −0.00588378 + 0.0109028i
\(442\) 0.644516 1.26493i 0.0306565 0.0601668i
\(443\) −14.0102 + 27.4966i −0.665646 + 1.30640i 0.273163 + 0.961968i \(0.411930\pi\)
−0.938810 + 0.344436i \(0.888070\pi\)
\(444\) 3.70267 2.20925i 0.175721 0.104847i
\(445\) 11.9177 14.5906i 0.564955 0.691659i
\(446\) −9.47630 13.0430i −0.448716 0.617605i
\(447\) −1.50063 22.4565i −0.0709772 1.06215i
\(448\) −2.37194 1.20856i −0.112064 0.0570993i
\(449\) −28.3119 20.5698i −1.33612 0.970749i −0.999577 0.0290812i \(-0.990742\pi\)
−0.336544 0.941668i \(-0.609258\pi\)
\(450\) 10.3894 10.8194i 0.489763 0.510031i
\(451\) −0.389438 1.19857i −0.0183379 0.0564384i
\(452\) −4.90712 + 0.777212i −0.230812 + 0.0365570i
\(453\) −36.8893 9.31864i −1.73321 0.437828i
\(454\) 18.8486 + 6.12429i 0.884609 + 0.287427i
\(455\) −5.34775 + 1.40871i −0.250706 + 0.0660413i
\(456\) 1.06416 + 4.67521i 0.0498338 + 0.218937i
\(457\) −17.4768 + 34.3001i −0.817530 + 1.60449i −0.0210887 + 0.999778i \(0.506713\pi\)
−0.796441 + 0.604716i \(0.793287\pi\)
\(458\) −2.07361 + 1.05656i −0.0968934 + 0.0493697i
\(459\) 2.12608 7.65038i 0.0992369 0.357089i
\(460\) −2.91457 + 1.28291i −0.135892 + 0.0598158i
\(461\) 2.87222 + 0.933242i 0.133773 + 0.0434654i 0.375138 0.926969i \(-0.377595\pi\)
−0.241365 + 0.970434i \(0.577595\pi\)
\(462\) −12.7607 + 0.852715i −0.593679 + 0.0396719i
\(463\) −1.86171 + 11.7544i −0.0865209 + 0.546271i 0.905910 + 0.423469i \(0.139188\pi\)
−0.992431 + 0.122802i \(0.960812\pi\)
\(464\) −1.70711 −0.0792505
\(465\) −4.92455 20.9940i −0.228370 0.973574i
\(466\) −9.87718 −0.457551
\(467\) −5.40369 + 34.1175i −0.250053 + 1.57877i 0.468605 + 0.883408i \(0.344757\pi\)
−0.718658 + 0.695364i \(0.755243\pi\)
\(468\) 2.78632 + 0.0658545i 0.128798 + 0.00304413i
\(469\) −30.5812 9.93643i −1.41211 0.458822i
\(470\) −7.15755 + 18.4129i −0.330153 + 0.849323i
\(471\) −1.59001 + 17.5494i −0.0732637 + 0.808634i
\(472\) −8.99237 + 4.58184i −0.413907 + 0.210896i
\(473\) 11.0007 21.5901i 0.505814 0.992715i
\(474\) 16.1292 3.67128i 0.740837 0.168627i
\(475\) 1.56322 13.7528i 0.0717252 0.631023i
\(476\) 3.86887 + 1.25707i 0.177329 + 0.0576178i
\(477\) −1.64085 + 4.67143i −0.0751294 + 0.213890i
\(478\) −6.55416 + 1.03808i −0.299780 + 0.0474805i
\(479\) 0.318077 + 0.978939i 0.0145333 + 0.0447289i 0.958060 0.286567i \(-0.0925141\pi\)
−0.943527 + 0.331296i \(0.892514\pi\)
\(480\) −1.79318 3.43286i −0.0818471 0.156688i
\(481\) −1.87101 1.35937i −0.0853105 0.0619817i
\(482\) −1.74015 0.886652i −0.0792618 0.0403859i
\(483\) 6.55182 0.437817i 0.298118 0.0199214i
\(484\) 1.94362 + 2.67516i 0.0883462 + 0.121598i
\(485\) 24.4562 2.46591i 1.11050 0.111971i
\(486\) 15.3462 2.73776i 0.696116 0.124187i
\(487\) −6.18226 + 12.1334i −0.280145 + 0.549816i −0.987609 0.156934i \(-0.949839\pi\)
0.707464 + 0.706749i \(0.249839\pi\)
\(488\) −0.639582 + 1.25525i −0.0289525 + 0.0568225i
\(489\) −17.3483 + 40.5216i −0.784517 + 1.83245i
\(490\) −0.0781242 0.177486i −0.00352929 0.00801802i
\(491\) 21.1558i 0.954750i −0.878700 0.477375i \(-0.841588\pi\)
0.878700 0.477375i \(-0.158412\pi\)
\(492\) −0.730576 + 0.292550i −0.0329369 + 0.0131892i
\(493\) 2.57654 0.408083i 0.116041 0.0183791i
\(494\) 2.08065 1.51168i 0.0936127 0.0680136i
\(495\) −15.8482 9.74848i −0.712325 0.438162i
\(496\) −5.54324 0.521993i −0.248899 0.0234382i
\(497\) −2.86714 + 2.86714i −0.128609 + 0.128609i
\(498\) −10.5984 2.67727i −0.474924 0.119971i
\(499\) 15.1177 20.8077i 0.676761 0.931482i −0.323128 0.946355i \(-0.604735\pi\)
0.999889 + 0.0148735i \(0.00473457\pi\)
\(500\) 1.60873 + 11.0640i 0.0719445 + 0.494797i
\(501\) 26.3391 + 2.38637i 1.17674 + 0.106615i
\(502\) 2.94986 + 2.94986i 0.131659 + 0.131659i
\(503\) −29.0821 + 14.8181i −1.29671 + 0.660706i −0.959761 0.280818i \(-0.909394\pi\)
−0.336947 + 0.941524i \(0.609394\pi\)
\(504\) 1.06260 + 7.91526i 0.0473320 + 0.352574i
\(505\) −20.4657 1.15939i −0.910712 0.0515920i
\(506\) 2.32178 + 3.19566i 0.103216 + 0.142064i
\(507\) 7.81464 + 19.5152i 0.347060 + 0.866702i
\(508\) −1.46395 + 9.24300i −0.0649522 + 0.410092i
\(509\) −21.7992 15.8380i −0.966231 0.702008i −0.0116417 0.999932i \(-0.503706\pi\)
−0.954590 + 0.297924i \(0.903706\pi\)
\(510\) 3.52707 + 4.75255i 0.156181 + 0.210446i
\(511\) −4.94235 3.59083i −0.218637 0.158849i
\(512\) −0.987688 + 0.156434i −0.0436501 + 0.00691349i
\(513\) 9.72366 10.6000i 0.429310 0.468003i
\(514\) −11.6887 + 16.0881i −0.515567 + 0.709617i
\(515\) 8.62505 14.7941i 0.380065 0.651908i
\(516\) −13.9102 5.95528i −0.612361 0.262167i
\(517\) 24.2031 + 3.83340i 1.06445 + 0.168593i
\(518\) 3.00854 5.90459i 0.132188 0.259433i
\(519\) −4.09637 + 0.932404i −0.179811 + 0.0409280i
\(520\) −1.31416 + 1.60889i −0.0576296 + 0.0705543i
\(521\) 16.5556i 0.725313i −0.931923 0.362657i \(-0.881870\pi\)
0.931923 0.362657i \(-0.118130\pi\)
\(522\) 2.91150 + 4.21321i 0.127433 + 0.184407i
\(523\) −19.2810 37.8410i −0.843098 1.65467i −0.752316 0.658803i \(-0.771063\pi\)
−0.0907825 0.995871i \(-0.528937\pi\)
\(524\) −5.53597 4.02212i −0.241840 0.175707i
\(525\) 4.66003 22.5785i 0.203380 0.985406i
\(526\) 24.8558 1.08376
\(527\) 8.49119 0.537265i 0.369882 0.0234037i
\(528\) −3.68972 + 3.07667i −0.160575 + 0.133895i
\(529\) 12.3270 + 16.9666i 0.535955 + 0.737679i
\(530\) −1.99684 3.10353i −0.0867373 0.134809i
\(531\) 26.6448 + 14.3791i 1.15629 + 0.624000i
\(532\) 5.21095 + 5.21095i 0.225923 + 0.225923i
\(533\) 0.298480 + 0.298480i 0.0129286 + 0.0129286i
\(534\) −5.74333 + 13.4151i −0.248538 + 0.580527i
\(535\) −7.23734 8.10657i −0.312897 0.350478i
\(536\) −11.4877 + 3.73257i −0.496191 + 0.161222i
\(537\) −2.90411 0.733611i −0.125322 0.0316577i
\(538\) −11.5729 22.7130i −0.498942 0.979229i
\(539\) −0.194604 + 0.141388i −0.00838218 + 0.00609001i
\(540\) −5.41412 + 10.2804i −0.232987 + 0.442399i
\(541\) −3.69046 11.3581i −0.158665 0.488321i 0.839849 0.542821i \(-0.182644\pi\)
−0.998514 + 0.0544995i \(0.982644\pi\)
\(542\) 24.7689 3.92301i 1.06391 0.168508i
\(543\) 1.30296 + 19.4984i 0.0559152 + 0.836756i
\(544\) 1.45332 0.472213i 0.0623106 0.0202460i
\(545\) −14.8554 + 9.55814i −0.636337 + 0.409426i
\(546\) 3.67861 2.19490i 0.157430 0.0939329i
\(547\) 24.8394 12.6563i 1.06206 0.541145i 0.166477 0.986045i \(-0.446761\pi\)
0.895580 + 0.444900i \(0.146761\pi\)
\(548\) −16.3585 2.59093i −0.698801 0.110679i
\(549\) 4.18882 0.562337i 0.178775 0.0240000i
\(550\) 12.9889 4.86029i 0.553847 0.207244i
\(551\) 4.49445 + 1.46033i 0.191470 + 0.0622123i
\(552\) 1.89445 1.57968i 0.0806330 0.0672358i
\(553\) 17.9774 17.9774i 0.764478 0.764478i
\(554\) −1.38167 + 4.25233i −0.0587014 + 0.180664i
\(555\) 8.54558 4.46385i 0.362740 0.189480i
\(556\) −11.4649 + 8.32973i −0.486219 + 0.353259i
\(557\) 16.0179 16.0179i 0.678701 0.678701i −0.281005 0.959706i \(-0.590668\pi\)
0.959706 + 0.281005i \(0.0906679\pi\)
\(558\) 8.16579 + 14.5712i 0.345685 + 0.616848i
\(559\) 8.11613i 0.343276i
\(560\) −5.14248 2.99809i −0.217309 0.126692i
\(561\) 4.83342 5.52565i 0.204067 0.233293i
\(562\) −18.5608 + 9.45723i −0.782942 + 0.398929i
\(563\) −7.42955 7.42955i −0.313118 0.313118i 0.532998 0.846116i \(-0.321065\pi\)
−0.846116 + 0.532998i \(0.821065\pi\)
\(564\) 1.38076 15.2398i 0.0581403 0.641713i
\(565\) −11.0534 + 1.11451i −0.465019 + 0.0468877i
\(566\) −17.1675 + 5.57805i −0.721602 + 0.234463i
\(567\) 17.7229 16.1221i 0.744292 0.677067i
\(568\) −0.238273 + 1.50439i −0.00999770 + 0.0631230i
\(569\) −1.83950 + 5.66139i −0.0771158 + 0.237338i −0.982182 0.187933i \(-0.939821\pi\)
0.905066 + 0.425271i \(0.139821\pi\)
\(570\) 1.78444 + 10.5719i 0.0747422 + 0.442810i
\(571\) 26.3542 + 19.1474i 1.10289 + 0.801295i 0.981529 0.191314i \(-0.0612749\pi\)
0.121359 + 0.992609i \(0.461275\pi\)
\(572\) 2.29599 + 1.16986i 0.0960000 + 0.0489145i
\(573\) 7.70869 0.515124i 0.322035 0.0215196i
\(574\) −0.710953 + 0.978543i −0.0296746 + 0.0408436i
\(575\) −6.66899 + 2.49546i −0.278116 + 0.104068i
\(576\) 2.07060 + 2.17085i 0.0862752 + 0.0904521i
\(577\) 11.0494 + 1.75005i 0.459993 + 0.0728557i 0.382130 0.924108i \(-0.375191\pi\)
0.0778623 + 0.996964i \(0.475191\pi\)
\(578\) 13.0665 6.65771i 0.543495 0.276924i
\(579\) 16.5817 9.89371i 0.689111 0.411168i
\(580\) −3.81110 0.215899i −0.158247 0.00896473i
\(581\) −15.9786 + 5.19178i −0.662906 + 0.215391i
\(582\) −17.6753 + 7.07786i −0.732665 + 0.293387i
\(583\) −3.23693 + 3.23693i −0.134060 + 0.134060i
\(584\) −2.29484 −0.0949613
\(585\) 6.21211 + 0.499408i 0.256839 + 0.0206480i
\(586\) −7.85029 5.70357i −0.324292 0.235612i
\(587\) 3.75421 23.7031i 0.154953 0.978333i −0.780570 0.625068i \(-0.785071\pi\)
0.935523 0.353265i \(-0.114929\pi\)
\(588\) 0.0961970 + 0.115365i 0.00396710 + 0.00475757i
\(589\) 14.1476 + 6.11623i 0.582943 + 0.252015i
\(590\) −20.6548 + 9.09163i −0.850346 + 0.374297i
\(591\) −34.3956 + 20.5226i −1.41484 + 0.844188i
\(592\) −0.389420 2.45870i −0.0160051 0.101052i
\(593\) 35.4347 18.0549i 1.45513 0.741425i 0.465497 0.885049i \(-0.345876\pi\)
0.989632 + 0.143624i \(0.0458756\pi\)
\(594\) 13.8862 + 3.85906i 0.569759 + 0.158339i
\(595\) 8.47823 + 3.29570i 0.347574 + 0.135111i
\(596\) −12.3582 4.01542i −0.506211 0.164478i
\(597\) −26.0523 16.3914i −1.06625 0.670853i
\(598\) −1.17885 0.600654i −0.0482067 0.0245626i
\(599\) −27.4267 + 19.9266i −1.12062 + 0.814180i −0.984303 0.176484i \(-0.943527\pi\)
−0.136320 + 0.990665i \(0.543527\pi\)
\(600\) −3.56910 7.89060i −0.145708 0.322132i
\(601\) 23.7836 17.2798i 0.970152 0.704857i 0.0146661 0.999892i \(-0.495331\pi\)
0.955486 + 0.295036i \(0.0953315\pi\)
\(602\) −22.9699 + 3.63808i −0.936185 + 0.148277i
\(603\) 28.8045 + 21.9860i 1.17301 + 0.895340i
\(604\) −12.9119 + 17.7717i −0.525378 + 0.723121i
\(605\) 4.00077 + 6.21807i 0.162655 + 0.252801i
\(606\) 15.4821 3.52399i 0.628917 0.143152i
\(607\) 4.16422 + 26.2918i 0.169020 + 1.06715i 0.915669 + 0.401934i \(0.131662\pi\)
−0.746648 + 0.665219i \(0.768338\pi\)
\(608\) 2.73419 + 0.433054i 0.110886 + 0.0175626i
\(609\) 7.23600 + 3.09791i 0.293217 + 0.125534i
\(610\) −1.58661 + 2.72144i −0.0642400 + 0.110188i
\(611\) −7.80607 + 2.53635i −0.315800 + 0.102610i
\(612\) −3.64410 2.78149i −0.147304 0.112435i
\(613\) 0.198130 + 0.388852i 0.00800240 + 0.0157056i 0.894973 0.446120i \(-0.147195\pi\)
−0.886971 + 0.461826i \(0.847195\pi\)
\(614\) 27.0466 1.09151
\(615\) −1.66800 + 0.560719i −0.0672603 + 0.0226104i
\(616\) −2.28172 + 7.02241i −0.0919331 + 0.282941i
\(617\) −9.15979 + 1.45077i −0.368759 + 0.0584057i −0.338064 0.941123i \(-0.609772\pi\)
−0.0306951 + 0.999529i \(0.509772\pi\)
\(618\) −3.24878 + 12.8608i −0.130685 + 0.517338i
\(619\) 22.9404i 0.922054i −0.887386 0.461027i \(-0.847481\pi\)
0.887386 0.461027i \(-0.152519\pi\)
\(620\) −12.3092 1.86640i −0.494350 0.0749565i
\(621\) −7.12973 1.98139i −0.286106 0.0795105i
\(622\) −5.91691 0.937146i −0.237246 0.0375761i
\(623\) 3.50860 + 22.1524i 0.140569 + 0.887517i
\(624\) 0.633311 1.47927i 0.0253527 0.0592180i
\(625\) 2.19219 + 24.9037i 0.0876878 + 0.996148i
\(626\) 22.9794i 0.918443i
\(627\) 12.3462 4.94387i 0.493058 0.197439i
\(628\) 9.06480 + 4.61874i 0.361725 + 0.184308i
\(629\) 1.17550 + 3.61783i 0.0468704 + 0.144252i
\(630\) 1.37119 + 17.8051i 0.0546296 + 0.709373i
\(631\) −4.82652 + 14.8545i −0.192141 + 0.591348i 0.807857 + 0.589378i \(0.200627\pi\)
−0.999998 + 0.00197030i \(0.999373\pi\)
\(632\) 1.49401 9.43278i 0.0594284 0.375216i
\(633\) −2.02211 30.2604i −0.0803717 1.20274i
\(634\) −2.80722 + 0.912120i −0.111489 + 0.0362249i
\(635\) −4.43722 + 20.4497i −0.176086 + 0.811523i
\(636\) 2.15161 + 1.88206i 0.0853167 + 0.0746286i
\(637\) 0.0365776 0.0717876i 0.00144926 0.00284433i
\(638\) 0.740713 + 4.67668i 0.0293251 + 0.185152i
\(639\) 4.11928 1.97770i 0.162956 0.0782367i
\(640\) −2.22479 + 0.224324i −0.0879424 + 0.00886720i
\(641\) 13.3327 + 18.3509i 0.526609 + 0.724816i 0.986609 0.163103i \(-0.0521504\pi\)
−0.460000 + 0.887919i \(0.652150\pi\)
\(642\) 7.12479 + 4.48272i 0.281193 + 0.176919i
\(643\) −9.86235 5.02512i −0.388933 0.198171i 0.248579 0.968612i \(-0.420036\pi\)
−0.637512 + 0.770440i \(0.720036\pi\)
\(644\) 1.17152 3.60558i 0.0461645 0.142080i
\(645\) −30.3011 15.0543i −1.19310 0.592764i
\(646\) −4.23024 −0.166436
\(647\) 4.31802 + 8.47459i 0.169759 + 0.333170i 0.960175 0.279400i \(-0.0901356\pi\)
−0.790416 + 0.612570i \(0.790136\pi\)
\(648\) 1.82629 8.81275i 0.0717436 0.346198i
\(649\) 16.4539 + 22.6468i 0.645872 + 0.888966i
\(650\) −3.13732 + 3.42562i −0.123056 + 0.134364i
\(651\) 22.5491 + 12.2720i 0.883770 + 0.480977i
\(652\) 17.9952 + 17.9952i 0.704747 + 0.704747i
\(653\) −10.3185 1.63429i −0.403795 0.0639549i −0.0487663 0.998810i \(-0.515529\pi\)
−0.355029 + 0.934855i \(0.615529\pi\)
\(654\) 9.00873 10.2989i 0.352269 0.402720i
\(655\) −11.8503 9.67948i −0.463030 0.378209i
\(656\) 0.454359i 0.0177397i
\(657\) 3.91389 + 5.66376i 0.152695 + 0.220964i
\(658\) −10.6774 20.9555i −0.416247 0.816931i
\(659\) −13.7492 42.3155i −0.535591 1.64838i −0.742369 0.669992i \(-0.766298\pi\)
0.206778 0.978388i \(-0.433702\pi\)
\(660\) −8.62637 + 6.40200i −0.335781 + 0.249197i
\(661\) −31.6237 + 22.9760i −1.23002 + 0.893662i −0.996892 0.0787842i \(-0.974896\pi\)
−0.233128 + 0.972446i \(0.574896\pi\)
\(662\) 10.4329 + 20.4757i 0.405485 + 0.795809i
\(663\) −0.602237 + 2.38405i −0.0233889 + 0.0925887i
\(664\) −3.70962 + 5.10586i −0.143961 + 0.198146i
\(665\) 10.9744 + 12.2924i 0.425567 + 0.476680i
\(666\) −5.40401 + 5.15446i −0.209401 + 0.199731i
\(667\) −0.380311 2.40119i −0.0147257 0.0929745i
\(668\) 6.93205 13.6049i 0.268209 0.526390i
\(669\) 21.0180 + 18.3849i 0.812602 + 0.710803i
\(670\) −26.1181 + 6.88006i −1.00903 + 0.265800i
\(671\) 3.71632 + 1.20750i 0.143467 + 0.0466152i
\(672\) 4.47045 + 1.12928i 0.172451 + 0.0435631i
\(673\) 13.3479 + 6.80107i 0.514522 + 0.262162i 0.691916 0.721978i \(-0.256767\pi\)
−0.177394 + 0.984140i \(0.556767\pi\)
\(674\) −1.94161 5.97566i −0.0747881 0.230174i
\(675\) −13.3871 + 22.2662i −0.515271 + 0.857027i
\(676\) 12.1369 0.466804
\(677\) 8.78786 8.78786i 0.337745 0.337745i −0.517773 0.855518i \(-0.673239\pi\)
0.855518 + 0.517773i \(0.173239\pi\)
\(678\) 7.98864 3.19895i 0.306802 0.122855i
\(679\) −17.2005 + 23.6745i −0.660096 + 0.908544i
\(680\) 3.30424 0.870407i 0.126712 0.0333786i
\(681\) −34.1868 3.09739i −1.31004 0.118692i
\(682\) 0.975193 + 15.4124i 0.0373421 + 0.590171i
\(683\) −1.61894 1.61894i −0.0619470 0.0619470i 0.675455 0.737402i \(-0.263947\pi\)
−0.737402 + 0.675455i \(0.763947\pi\)
\(684\) −3.59442 7.48667i −0.137436 0.286260i
\(685\) −36.1925 7.85310i −1.38284 0.300052i
\(686\) −17.5030 5.68708i −0.668268 0.217134i
\(687\) 3.09587 2.58149i 0.118115 0.0984900i
\(688\) −6.17735 + 6.17735i −0.235509 + 0.235509i
\(689\) 0.473812 1.45824i 0.0180508 0.0555546i
\(690\) 4.42912 3.28704i 0.168614 0.125135i
\(691\) 11.8070 + 36.3381i 0.449158 + 1.38237i 0.877858 + 0.478920i \(0.158972\pi\)
−0.428700 + 0.903447i \(0.641028\pi\)
\(692\) −0.379437 + 2.39567i −0.0144240 + 0.0910697i
\(693\) 21.2231 6.34546i 0.806198 0.241044i
\(694\) 14.7083 + 20.2443i 0.558320 + 0.768462i
\(695\) −26.6487 + 17.1460i −1.01084 + 0.650387i
\(696\) 2.88305 0.656233i 0.109282 0.0248744i
\(697\) −0.108614 0.685764i −0.00411406 0.0259752i
\(698\) −3.01641 19.0449i −0.114173 0.720858i
\(699\) 16.6811 3.79691i 0.630937 0.143612i
\(700\) −11.1014 7.34357i −0.419592 0.277561i
\(701\) −10.3003 14.1772i −0.389039 0.535466i 0.568912 0.822398i \(-0.307364\pi\)
−0.957951 + 0.286932i \(0.907364\pi\)
\(702\) −4.73101 + 0.959878i −0.178560 + 0.0362283i
\(703\) −1.07802 + 6.80636i −0.0406584 + 0.256707i
\(704\) 0.857115 + 2.63793i 0.0323038 + 0.0994207i
\(705\) 5.00992 33.8481i 0.188684 1.27479i
\(706\) 1.75428 5.39913i 0.0660233 0.203199i
\(707\) 17.2562 17.2562i 0.648987 0.648987i
\(708\) 13.4255 11.1948i 0.504560 0.420728i
\(709\) −32.1496 10.4460i −1.20740 0.392309i −0.364924 0.931037i \(-0.618905\pi\)
−0.842480 + 0.538728i \(0.818905\pi\)
\(710\) −0.722203 + 3.32841i −0.0271038 + 0.124913i
\(711\) −25.8285 + 12.4005i −0.968645 + 0.465055i
\(712\) 5.95749 + 5.95749i 0.223266 + 0.223266i
\(713\) −0.500702 7.91333i −0.0187514 0.296356i
\(714\) −7.01719 0.635770i −0.262612 0.0237931i
\(715\) 4.97781 + 2.90208i 0.186160 + 0.108532i
\(716\) −1.01649 + 1.39908i −0.0379881 + 0.0522861i
\(717\) 10.6700 4.27266i 0.398477 0.159565i
\(718\) 22.3308 22.3308i 0.833378 0.833378i
\(719\) 27.6282 1.03036 0.515179 0.857083i \(-0.327726\pi\)
0.515179 + 0.857083i \(0.327726\pi\)
\(720\) 4.34805 + 5.10827i 0.162042 + 0.190374i
\(721\) 6.30007 + 19.3896i 0.234627 + 0.722107i
\(722\) 10.1010 + 5.14673i 0.375922 + 0.191542i
\(723\) 3.27970 + 0.828490i 0.121973 + 0.0308119i
\(724\) 10.7303 + 3.48649i 0.398788 + 0.129574i
\(725\) −8.48093 0.963985i −0.314974 0.0358015i
\(726\) −4.31085 3.77080i −0.159991 0.139948i
\(727\) 3.25490 6.38810i 0.120717 0.236921i −0.822738 0.568421i \(-0.807555\pi\)
0.943455 + 0.331500i \(0.107555\pi\)
\(728\) −0.386889 2.44272i −0.0143391 0.0905333i
\(729\) −24.8650 + 10.5229i −0.920926 + 0.389738i
\(730\) −5.12321 0.290231i −0.189619 0.0107419i
\(731\) 7.84678 10.8002i 0.290224 0.399458i
\(732\) 0.597627 2.36580i 0.0220889 0.0874424i
\(733\) 14.8262 + 29.0981i 0.547618 + 1.07476i 0.984523 + 0.175254i \(0.0560746\pi\)
−0.436905 + 0.899508i \(0.643925\pi\)
\(734\) 20.5742 14.9481i 0.759409 0.551743i
\(735\) 0.200168 + 0.269717i 0.00738332 + 0.00994865i
\(736\) −0.440077 1.35442i −0.0162214 0.0499245i
\(737\) 15.2100 + 29.8513i 0.560267 + 1.09959i
\(738\) 1.12138 0.774917i 0.0412784 0.0285251i
\(739\) 42.3113i 1.55645i 0.627987 + 0.778224i \(0.283879\pi\)
−0.627987 + 0.778224i \(0.716121\pi\)
\(740\) −0.558422 5.53827i −0.0205280 0.203591i
\(741\) −2.93280 + 3.35283i −0.107739 + 0.123169i
\(742\) 4.33945 + 0.687301i 0.159306 + 0.0252316i
\(743\) 37.6854 + 37.6854i 1.38254 + 1.38254i 0.840079 + 0.542464i \(0.182509\pi\)
0.542464 + 0.840079i \(0.317491\pi\)
\(744\) 9.56238 1.24932i 0.350574 0.0458023i
\(745\) −27.0817 10.5273i −0.992196 0.385691i
\(746\) −13.8468 19.0584i −0.506966 0.697778i
\(747\) 18.9283 + 0.447368i 0.692549 + 0.0163683i
\(748\) −1.92424 3.77653i −0.0703572 0.138084i
\(749\) 12.9376 0.472731
\(750\) −6.97004 18.0671i −0.254510 0.659716i
\(751\) −5.51920 + 16.9863i −0.201398 + 0.619841i 0.798444 + 0.602070i \(0.205657\pi\)
−0.999842 + 0.0177711i \(0.994343\pi\)
\(752\) −7.87183 4.01090i −0.287056 0.146262i
\(753\) −6.11585 3.84792i −0.222874 0.140226i
\(754\) −0.932204 1.28307i −0.0339489 0.0467266i
\(755\) −31.0733 + 38.0422i −1.13087 + 1.38450i
\(756\) −4.83730 12.9592i −0.175931 0.471323i
\(757\) 3.25826 + 20.5718i 0.118423 + 0.747696i 0.973414 + 0.229053i \(0.0735628\pi\)
−0.854991 + 0.518644i \(0.826437\pi\)
\(758\) −0.249515 + 0.489701i −0.00906280 + 0.0177868i
\(759\) −5.14960 4.50448i −0.186919 0.163502i
\(760\) 6.04929 + 1.31258i 0.219431 + 0.0476124i
\(761\) 9.06370 2.94497i 0.328559 0.106755i −0.140093 0.990138i \(-0.544740\pi\)
0.468651 + 0.883383i \(0.344740\pi\)
\(762\) −1.08073 16.1728i −0.0391507 0.585880i
\(763\) 3.28986 20.7713i 0.119101 0.751973i
\(764\) 1.37838 4.24223i 0.0498681 0.153478i
\(765\) −7.78364 6.67051i −0.281418 0.241173i
\(766\) −6.96461 21.4349i −0.251641 0.774473i
\(767\) −8.35421 4.25668i −0.301653 0.153700i
\(768\) 1.60793 0.643874i 0.0580210 0.0232338i
\(769\) 40.1193i 1.44674i 0.690461 + 0.723370i \(0.257408\pi\)
−0.690461 + 0.723370i \(0.742592\pi\)
\(770\) −5.98204 + 15.3889i −0.215578 + 0.554576i
\(771\) 13.5560 31.6638i 0.488209 1.14034i
\(772\) −1.74394 11.0108i −0.0627658 0.396288i
\(773\) 46.7369 + 7.40239i 1.68101 + 0.266246i 0.922663 0.385608i \(-0.126008\pi\)
0.758345 + 0.651853i \(0.226008\pi\)
\(774\) 25.7815 + 4.71037i 0.926697 + 0.169311i
\(775\) −27.2441 5.72348i −0.978638 0.205593i
\(776\) 10.9926i 0.394612i
\(777\) −2.81118 + 11.1285i −0.100851 + 0.399233i
\(778\) 11.8550 1.87765i 0.425022 0.0673169i
\(779\) 0.388679 1.19623i 0.0139259 0.0428594i
\(780\) 1.60094 3.22235i 0.0573229 0.115379i
\(781\) 4.22473 0.151173
\(782\) 0.987980 + 1.93902i 0.0353301 + 0.0693392i
\(783\) −6.53670 5.99627i −0.233603 0.214289i
\(784\) 0.0824790 0.0267990i 0.00294568 0.000957108i
\(785\) 19.6529 + 11.4577i 0.701443 + 0.408944i
\(786\) 10.8956 + 4.66468i 0.388633 + 0.166384i
\(787\) 0.139135 + 0.0220369i 0.00495964 + 0.000785531i 0.158914 0.987292i \(-0.449201\pi\)
−0.153954 + 0.988078i \(0.549201\pi\)
\(788\) 3.61748 + 22.8398i 0.128867 + 0.813636i
\(789\) −41.9778 + 9.55488i −1.49445 + 0.340163i
\(790\) 4.52832 20.8696i 0.161111 0.742508i
\(791\) 7.77407 10.7001i 0.276414 0.380451i
\(792\) 5.04869 6.61443i 0.179397 0.235033i
\(793\) −1.29271 + 0.204745i −0.0459055 + 0.00727071i
\(794\) −17.0338 + 12.3758i −0.604508 + 0.439200i
\(795\) 4.56541 + 4.47379i 0.161918 + 0.158669i
\(796\) −14.3768 + 10.4454i −0.509573 + 0.370226i
\(797\) −14.0831 7.17567i −0.498847 0.254175i 0.186416 0.982471i \(-0.440313\pi\)
−0.685263 + 0.728296i \(0.740313\pi\)
\(798\) −10.8037 6.79738i −0.382446 0.240625i
\(799\) 12.8397 + 4.17189i 0.454238 + 0.147591i
\(800\) −4.99518 + 0.219431i −0.176606 + 0.00775805i
\(801\) 4.54272 24.8639i 0.160509 0.878523i
\(802\) −11.9186 + 6.07282i −0.420859 + 0.214439i
\(803\) 0.995732 + 6.28680i 0.0351386 + 0.221856i
\(804\) 17.9661 10.7198i 0.633616 0.378057i
\(805\) 3.07141 7.90125i 0.108253 0.278482i
\(806\) −2.63468 4.45137i −0.0928026 0.156793i
\(807\) 28.2761 + 33.9103i 0.995365 + 1.19370i
\(808\) 1.43407 9.05436i 0.0504504 0.318531i
\(809\) 29.4055 + 21.3643i 1.03384 + 0.751130i 0.969074 0.246771i \(-0.0793695\pi\)
0.0647674 + 0.997900i \(0.479369\pi\)
\(810\) 5.19174 19.4434i 0.182419 0.683171i
\(811\) −9.15689 −0.321542 −0.160771 0.986992i \(-0.551398\pi\)
−0.160771 + 0.986992i \(0.551398\pi\)
\(812\) 3.21343 3.21343i 0.112769 0.112769i
\(813\) −40.3230 + 16.1468i −1.41419 + 0.566295i
\(814\) −6.56673 + 2.13366i −0.230164 + 0.0747847i
\(815\) 37.8982 + 42.4500i 1.32752 + 1.48696i
\(816\) −2.27292 + 1.35617i −0.0795682 + 0.0474755i
\(817\) 21.5480 10.9793i 0.753870 0.384116i
\(818\) 16.7888 + 2.65908i 0.587006 + 0.0929725i
\(819\) −5.36889 + 5.12096i −0.187604 + 0.178941i
\(820\) −0.0574632 + 1.01435i −0.00200670 + 0.0354227i
\(821\) −19.9579 + 27.4697i −0.696534 + 0.958697i 0.303448 + 0.952848i \(0.401862\pi\)
−0.999983 + 0.00584957i \(0.998138\pi\)
\(822\) 28.6231 1.91270i 0.998345 0.0667132i
\(823\) 10.7780 + 5.49165i 0.375697 + 0.191427i 0.631635 0.775266i \(-0.282384\pi\)
−0.255938 + 0.966693i \(0.582384\pi\)
\(824\) 6.19581 + 4.50152i 0.215841 + 0.156818i
\(825\) −20.0679 + 13.2014i −0.698676 + 0.459614i
\(826\) 8.30230 25.5518i 0.288874 0.889062i
\(827\) −3.25601 + 20.5577i −0.113223 + 0.714860i 0.864134 + 0.503262i \(0.167867\pi\)
−0.977357 + 0.211598i \(0.932133\pi\)
\(828\) −2.59219 + 3.39611i −0.0900850 + 0.118023i
\(829\) 10.8358 3.52078i 0.376344 0.122282i −0.114736 0.993396i \(-0.536602\pi\)
0.491080 + 0.871114i \(0.336602\pi\)
\(830\) −8.92743 + 10.9296i −0.309876 + 0.379372i
\(831\) 0.698784 7.71269i 0.0242405 0.267550i
\(832\) −0.656926 0.656926i −0.0227748 0.0227748i
\(833\) −0.118079 + 0.0601643i −0.00409120 + 0.00208457i
\(834\) 16.1605 18.4749i 0.559591 0.639735i
\(835\) 17.1963 29.4961i 0.595104 1.02075i
\(836\) 7.67832i 0.265560i
\(837\) −19.3922 21.4696i −0.670292 0.742098i
\(838\) 24.3765 24.3765i 0.842073 0.842073i
\(839\) 14.8704 10.8040i 0.513384 0.372995i −0.300722 0.953712i \(-0.597228\pi\)
0.814106 + 0.580717i \(0.197228\pi\)
\(840\) 9.83740 + 3.08650i 0.339422 + 0.106494i
\(841\) −8.06095 + 24.8091i −0.277964 + 0.855485i
\(842\) −1.22930 + 1.22930i −0.0423644 + 0.0423644i
\(843\) 27.7111 23.1069i 0.954421 0.795844i
\(844\) −16.6528 5.41082i −0.573213 0.186248i
\(845\) 27.0955 + 1.53496i 0.932113 + 0.0528043i
\(846\) 3.52648 + 26.2686i 0.121243 + 0.903134i
\(847\) −8.69430 1.37704i −0.298740 0.0473157i
\(848\) 1.47053 0.749270i 0.0504981 0.0257301i
\(849\) 26.8491 16.0199i 0.921457 0.549801i
\(850\) 7.48677 1.52528i 0.256794 0.0523168i
\(851\) 3.37162 1.09550i 0.115578 0.0375534i
\(852\) −0.175900 2.63230i −0.00602623 0.0901810i
\(853\) −38.9434 + 6.16803i −1.33340 + 0.211189i −0.782117 0.623131i \(-0.785860\pi\)
−0.551279 + 0.834321i \(0.685860\pi\)
\(854\) −1.15892 3.56680i −0.0396575 0.122053i
\(855\) −7.07765 17.1685i −0.242051 0.587150i
\(856\) 3.93178 2.85661i 0.134386 0.0976368i
\(857\) 0.286096 + 0.561495i 0.00977286 + 0.0191803i 0.895841 0.444374i \(-0.146574\pi\)
−0.886068 + 0.463554i \(0.846574\pi\)
\(858\) −4.32730 1.09312i −0.147731 0.0373186i
\(859\) 21.7280 7.05986i 0.741351 0.240879i 0.0860954 0.996287i \(-0.472561\pi\)
0.655255 + 0.755407i \(0.272561\pi\)
\(860\) −14.5721 + 13.0096i −0.496905 + 0.443624i
\(861\) 0.824532 1.92591i 0.0281000 0.0656350i
\(862\) 21.7322 + 21.7322i 0.740200 + 0.740200i
\(863\) 21.7186 + 21.7186i 0.739310 + 0.739310i 0.972444 0.233135i \(-0.0748984\pi\)
−0.233135 + 0.972444i \(0.574898\pi\)
\(864\) −4.33145 2.87028i −0.147359 0.0976491i
\(865\) −1.15007 + 5.30032i −0.0391036 + 0.180216i
\(866\) 23.6774 + 32.5891i 0.804590 + 1.10742i
\(867\) −19.5081 + 16.2668i −0.662530 + 0.552450i
\(868\) 11.4171 9.45191i 0.387521 0.320819i
\(869\) −26.4897 −0.898601
\(870\) 6.51938 1.10041i 0.221028 0.0373074i
\(871\) −9.07850 6.59592i −0.307613 0.223494i
\(872\) −3.58648 7.03886i −0.121454 0.238366i
\(873\) 27.1302 18.7481i 0.918217 0.634526i
\(874\) 3.94235i 0.133352i
\(875\) −23.8549 17.7984i −0.806443 0.601697i
\(876\) 3.87565 0.882166i 0.130946 0.0298056i
\(877\) 3.65569 7.17470i 0.123444 0.242272i −0.821012 0.570911i \(-0.806590\pi\)
0.944456 + 0.328639i \(0.106590\pi\)
\(878\) −9.66056 1.53008i −0.326028 0.0516378i
\(879\) 15.4505 + 6.61475i 0.521133 + 0.223110i
\(880\) 1.57988 + 5.99755i 0.0532577 + 0.202177i
\(881\) −5.75875 + 7.92624i −0.194017 + 0.267042i −0.894931 0.446204i \(-0.852776\pi\)
0.700914 + 0.713246i \(0.252776\pi\)
\(882\) −0.206810 0.157855i −0.00696366 0.00531526i
\(883\) 23.6742 3.74962i 0.796699 0.126185i 0.255203 0.966888i \(-0.417858\pi\)
0.541497 + 0.840703i \(0.317858\pi\)
\(884\) 1.14854 + 0.834460i 0.0386294 + 0.0280659i
\(885\) 31.3880 23.2944i 1.05510 0.783033i
\(886\) −24.9664 18.1392i −0.838763 0.609397i
\(887\) 8.29388 52.3655i 0.278481 1.75826i −0.310934 0.950432i \(-0.600642\pi\)
0.589415 0.807830i \(-0.299358\pi\)
\(888\) 1.60283 + 4.00269i 0.0537874 + 0.134321i
\(889\) −14.6431 20.1546i −0.491115 0.675962i
\(890\) 12.5466 + 14.0535i 0.420562 + 0.471074i
\(891\) −24.9353 1.17935i −0.835363 0.0395096i
\(892\) 14.3649 7.31926i 0.480971 0.245067i
\(893\) 17.2937 + 17.2937i 0.578713 + 0.578713i
\(894\) 22.4147 + 2.03082i 0.749661 + 0.0679206i
\(895\) −2.44625 + 2.99488i −0.0817691 + 0.100108i
\(896\) 1.56474 2.15368i 0.0522742 0.0719493i
\(897\) 2.22180 + 0.561252i 0.0741838 + 0.0187397i
\(898\) 24.7455 24.7455i 0.825768 0.825768i
\(899\) 3.77168 8.72440i 0.125793 0.290975i
\(900\) 9.06093 + 11.9541i 0.302031 + 0.398469i
\(901\) −2.04035 + 1.48240i −0.0679739 + 0.0493860i
\(902\) 1.24473 0.197146i 0.0414451 0.00656426i
\(903\) 37.3944 14.9741i 1.24441 0.498307i
\(904\) 4.96829i 0.165243i
\(905\) 23.5143 + 9.14061i 0.781643 + 0.303844i
\(906\) 14.9747 34.9773i 0.497500 1.16204i
\(907\) −14.8360 + 29.1172i −0.492620 + 0.966822i 0.502159 + 0.864775i \(0.332539\pi\)
−0.994780 + 0.102047i \(0.967461\pi\)
\(908\) −8.99746 + 17.6585i −0.298591 + 0.586018i
\(909\) −24.7923 + 11.9030i −0.822310 + 0.394798i
\(910\) −0.554793 5.50228i −0.0183912 0.182399i
\(911\) −34.0188 46.8229i −1.12709 1.55131i −0.793474 0.608604i \(-0.791730\pi\)
−0.333619 0.942708i \(-0.608270\pi\)
\(912\) −4.78412 + 0.319693i −0.158418 + 0.0105861i
\(913\) 15.5973 + 7.94721i 0.516195 + 0.263014i
\(914\) −31.1439 22.6274i −1.03015 0.748446i
\(915\) 1.63340 5.20603i 0.0539985 0.172106i
\(916\) −0.719165 2.21336i −0.0237619 0.0731315i
\(917\) 17.9920 2.84965i 0.594148 0.0941038i
\(918\) 7.22359 + 3.29669i 0.238414 + 0.108807i
\(919\) −9.79121 3.18136i −0.322982 0.104943i 0.143038 0.989717i \(-0.454313\pi\)
−0.466021 + 0.884774i \(0.654313\pi\)
\(920\) −0.811172 3.07938i −0.0267435 0.101524i
\(921\) −45.6778 + 10.3971i −1.50514 + 0.342595i
\(922\) −1.37107 + 2.69087i −0.0451537 + 0.0886191i
\(923\) −1.26082 + 0.642421i −0.0415005 + 0.0211456i
\(924\) 1.15399 12.7369i 0.0379635 0.419015i
\(925\) −0.546240 12.4348i −0.0179603 0.408852i
\(926\) −11.3184 3.67757i −0.371946 0.120853i
\(927\) 0.542868 22.9689i 0.0178301 0.754398i
\(928\) 0.267050 1.68609i 0.00876636 0.0553486i
\(929\) 53.1341 1.74327 0.871636 0.490153i \(-0.163059\pi\)
0.871636 + 0.490153i \(0.163059\pi\)
\(930\) 21.5059 1.57973i 0.705207 0.0518014i
\(931\) −0.240074 −0.00786812
\(932\) 1.54513 9.75557i 0.0506124 0.319554i
\(933\) 10.3530 0.691829i 0.338944 0.0226495i
\(934\) −32.8522 10.6743i −1.07496 0.349274i
\(935\) −3.81822 8.67442i −0.124869 0.283684i
\(936\) −0.500921 + 2.74172i −0.0163731 + 0.0896158i
\(937\) 19.4996 9.93552i 0.637023 0.324579i −0.105481 0.994421i \(-0.533638\pi\)
0.742504 + 0.669842i \(0.233638\pi\)
\(938\) 14.5980 28.6503i 0.476643 0.935464i
\(939\) 8.83357 + 38.8089i 0.288273 + 1.26648i
\(940\) −17.0665 9.94984i −0.556648 0.324528i
\(941\) −19.0423 6.18723i −0.620762 0.201698i −0.0182836 0.999833i \(-0.505820\pi\)
−0.602479 + 0.798135i \(0.705820\pi\)
\(942\) −17.0846 4.31576i −0.556647 0.140615i
\(943\) −0.639095 + 0.101223i −0.0208118 + 0.00329626i
\(944\) −3.11871 9.59841i −0.101505 0.312402i
\(945\) −9.16025 29.5431i −0.297983 0.961039i
\(946\) 19.6034 + 14.2427i 0.637362 + 0.463071i
\(947\) −43.0616 21.9410i −1.39931 0.712986i −0.418551 0.908193i \(-0.637462\pi\)
−0.980762 + 0.195207i \(0.937462\pi\)
\(948\) 1.10292 + 16.5049i 0.0358212 + 0.536054i
\(949\) −1.25315 1.72481i −0.0406790 0.0559898i
\(950\) 13.3390 + 3.69538i 0.432773 + 0.119894i
\(951\) 4.39035 2.61957i 0.142367 0.0849452i
\(952\) −1.84682 + 3.62459i −0.0598558 + 0.117474i
\(953\) −6.60332 + 12.9597i −0.213902 + 0.419807i −0.972880 0.231309i \(-0.925699\pi\)
0.758978 + 0.651116i \(0.225699\pi\)
\(954\) −4.35723 2.35142i −0.141071 0.0761301i
\(955\) 3.61374 9.29640i 0.116938 0.300824i
\(956\) 6.63586i 0.214619i
\(957\) −3.04873 7.61349i −0.0985514 0.246109i
\(958\) −1.01665 + 0.161021i −0.0328463 + 0.00520234i
\(959\) 35.6701 25.9158i 1.15185 0.836866i
\(960\) 3.67111 1.23409i 0.118484 0.0398300i
\(961\) 14.9150 27.1762i 0.481128 0.876651i
\(962\) 1.63532 1.63532i 0.0527248 0.0527248i
\(963\) −13.7559 4.83180i −0.443279 0.155703i
\(964\) 1.14796 1.58003i 0.0369732 0.0508892i
\(965\) −2.50078 24.8021i −0.0805030 0.798407i
\(966\) −0.592503 + 6.53964i −0.0190635 + 0.210410i
\(967\) −0.465191 0.465191i −0.0149595 0.0149595i 0.699587 0.714547i \(-0.253367\pi\)
−0.714547 + 0.699587i \(0.753367\pi\)
\(968\) −2.94627 + 1.50120i −0.0946968 + 0.0482504i
\(969\) 7.14425 1.62615i 0.229506 0.0522396i
\(970\) −1.39024 + 24.5409i −0.0446380 + 0.787960i
\(971\) 2.74642 + 3.78013i 0.0881369 + 0.121310i 0.850808 0.525476i \(-0.176113\pi\)
−0.762672 + 0.646786i \(0.776113\pi\)
\(972\) 0.303387 + 15.5855i 0.00973114 + 0.499905i
\(973\) 5.90157 37.2610i 0.189195 1.19453i
\(974\) −11.0169 8.00423i −0.353003 0.256472i
\(975\) 3.98162 6.99139i 0.127514 0.223904i
\(976\) −1.13974 0.828072i −0.0364823 0.0265059i
\(977\) −11.3182 + 1.79263i −0.362101 + 0.0573512i −0.334834 0.942277i \(-0.608680\pi\)
−0.0272667 + 0.999628i \(0.508680\pi\)
\(978\) −37.3089 23.4737i −1.19301 0.750606i
\(979\) 13.7358 18.9057i 0.438998 0.604229i
\(980\) 0.187523 0.0493974i 0.00599019 0.00157794i
\(981\) −11.2554 + 20.8565i −0.359357 + 0.665896i
\(982\) 20.8954 + 3.30950i 0.666798 + 0.105610i
\(983\) −17.3200 + 33.9924i −0.552422 + 1.08419i 0.430915 + 0.902393i \(0.358191\pi\)
−0.983336 + 0.181796i \(0.941809\pi\)
\(984\) −0.174661 0.767346i −0.00556800 0.0244621i
\(985\) 5.18740 + 51.4472i 0.165284 + 1.63924i
\(986\) 2.60865i 0.0830764i
\(987\) 26.0881 + 31.2863i 0.830393 + 0.995854i
\(988\) 1.16758 + 2.29151i 0.0371457 + 0.0729026i
\(989\) −10.0652 7.31277i −0.320054 0.232533i
\(990\) 12.1077 14.1281i 0.384807 0.449021i
\(991\) −40.0672 −1.27278 −0.636388 0.771369i \(-0.719572\pi\)
−0.636388 + 0.771369i \(0.719572\pi\)
\(992\) 1.38272 5.39334i 0.0439014 0.171239i
\(993\) −25.4907 30.5699i −0.808923 0.970106i
\(994\) −2.38332 3.28037i −0.0755945 0.104047i
\(995\) −33.4171 + 21.5009i −1.05939 + 0.681625i
\(996\) 4.30226 10.0491i 0.136322 0.318417i
\(997\) −11.5462 11.5462i −0.365673 0.365673i 0.500223 0.865897i \(-0.333251\pi\)
−0.865897 + 0.500223i \(0.833251\pi\)
\(998\) 18.1866 + 18.1866i 0.575687 + 0.575687i
\(999\) 7.14514 10.7825i 0.226062 0.341143i
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.bk.a.47.16 512
3.2 odd 2 inner 930.2.bk.a.47.51 yes 512
5.3 odd 4 inner 930.2.bk.a.233.64 yes 512
15.8 even 4 inner 930.2.bk.a.233.3 yes 512
31.2 even 5 inner 930.2.bk.a.467.3 yes 512
93.2 odd 10 inner 930.2.bk.a.467.64 yes 512
155.33 odd 20 inner 930.2.bk.a.653.51 yes 512
465.188 even 20 inner 930.2.bk.a.653.16 yes 512
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bk.a.47.16 512 1.1 even 1 trivial
930.2.bk.a.47.51 yes 512 3.2 odd 2 inner
930.2.bk.a.233.3 yes 512 15.8 even 4 inner
930.2.bk.a.233.64 yes 512 5.3 odd 4 inner
930.2.bk.a.467.3 yes 512 31.2 even 5 inner
930.2.bk.a.467.64 yes 512 93.2 odd 10 inner
930.2.bk.a.653.16 yes 512 465.188 even 20 inner
930.2.bk.a.653.51 yes 512 155.33 odd 20 inner