Properties

Label 310.2.s.a.263.13
Level $310$
Weight $2$
Character 310.263
Analytic conductor $2.475$
Analytic rank $0$
Dimension $128$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [310,2,Mod(23,310)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(310, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([15, 18]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("310.23");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 310 = 2 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 310.s (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: \(2.47536246266\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 263.13
Character \(\chi\) \(=\) 310.263
Dual form 310.2.s.a.277.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.156434 - 0.987688i) q^{2} +(-0.0340912 + 0.00539952i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(0.0723287 + 2.23490i) q^{5} +0.0345162i q^{6} +(0.886641 + 1.74013i) q^{7} +(-0.453990 + 0.891007i) q^{8} +(-2.85204 + 0.926683i) q^{9} +O(q^{10})\) \(q+(0.156434 - 0.987688i) q^{2} +(-0.0340912 + 0.00539952i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(0.0723287 + 2.23490i) q^{5} +0.0345162i q^{6} +(0.886641 + 1.74013i) q^{7} +(-0.453990 + 0.891007i) q^{8} +(-2.85204 + 0.926683i) q^{9} +(2.21870 + 0.278177i) q^{10} +(5.39525 + 1.75302i) q^{11} +(0.0340912 + 0.00539952i) q^{12} +(2.98257 - 0.472393i) q^{13} +(1.85741 - 0.603509i) q^{14} +(-0.0145332 - 0.0757999i) q^{15} +(0.809017 + 0.587785i) q^{16} +(-1.26546 + 2.48361i) q^{17} +(0.469117 + 2.96189i) q^{18} +(-1.11652 - 1.53676i) q^{19} +(0.621833 - 2.14786i) q^{20} +(-0.0396226 - 0.0545358i) q^{21} +(2.57544 - 5.05459i) q^{22} +(-0.0394199 - 0.0200854i) q^{23} +(0.0106661 - 0.0328268i) q^{24} +(-4.98954 + 0.323295i) q^{25} -3.01975i q^{26} +(0.184488 - 0.0940015i) q^{27} +(-0.305516 - 1.92895i) q^{28} +(7.51695 - 5.46138i) q^{29} +(-0.0771401 + 0.00249651i) q^{30} +(-5.31865 + 1.64679i) q^{31} +(0.707107 - 0.707107i) q^{32} +(-0.193396 - 0.0306310i) q^{33} +(2.25507 + 1.63840i) q^{34} +(-3.82489 + 2.10741i) q^{35} +2.99881 q^{36} +(2.60361 + 2.60361i) q^{37} +(-1.69250 + 0.862373i) q^{38} +(-0.0991289 + 0.0322089i) q^{39} +(-2.02415 - 0.950177i) q^{40} +(4.10410 - 2.98180i) q^{41} +(-0.0600627 + 0.0306035i) q^{42} +(-0.816679 + 5.15631i) q^{43} +(-4.58948 - 3.33445i) q^{44} +(-2.27733 - 6.30698i) q^{45} +(-0.0260048 + 0.0357925i) q^{46} +(-2.48892 + 0.394206i) q^{47} +(-0.0307541 - 0.0156700i) q^{48} +(1.87257 - 2.57738i) q^{49} +(-0.461221 + 4.97868i) q^{50} +(0.0297309 - 0.0915022i) q^{51} +(-2.98257 - 0.472393i) q^{52} +(-10.9843 - 5.59680i) q^{53} +(-0.0639838 - 0.196922i) q^{54} +(-3.52760 + 12.1846i) q^{55} -1.95299 q^{56} +(0.0463614 + 0.0463614i) q^{57} +(-4.21824 - 8.27875i) q^{58} +(1.64659 - 2.26634i) q^{59} +(-0.00960160 + 0.0765810i) q^{60} -6.54992i q^{61} +(0.794496 + 5.51079i) q^{62} +(-4.14128 - 4.14128i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(1.27148 + 6.63158i) q^{65} +(-0.0605077 + 0.186224i) q^{66} +(-7.51327 + 7.51327i) q^{67} +(1.97100 - 1.97100i) q^{68} +(0.00145232 + 0.000471889i) q^{69} +(1.48312 + 4.10747i) q^{70} +(0.478046 + 1.47128i) q^{71} +(0.469117 - 2.96189i) q^{72} +(3.59187 + 7.04944i) q^{73} +(2.97885 - 2.16426i) q^{74} +(0.168354 - 0.0379626i) q^{75} +(0.586990 + 1.80657i) q^{76} +(1.73316 + 10.9428i) q^{77} +(0.0163052 + 0.102947i) q^{78} +(-0.636609 - 1.95928i) q^{79} +(-1.25512 + 1.85058i) q^{80} +(7.27248 - 5.28377i) q^{81} +(-2.30307 - 4.52003i) q^{82} +(0.509938 - 3.21962i) q^{83} +(0.0208308 + 0.0641107i) q^{84} +(-5.64214 - 2.64854i) q^{85} +(4.96507 + 1.61325i) q^{86} +(-0.226773 + 0.226773i) q^{87} +(-4.01135 + 4.01135i) q^{88} +(4.49739 - 13.8415i) q^{89} +(-6.58559 + 1.26266i) q^{90} +(3.46650 + 4.77122i) q^{91} +(0.0312838 + 0.0312838i) q^{92} +(0.172428 - 0.0848593i) q^{93} +2.51994i q^{94} +(3.35375 - 2.60646i) q^{95} +(-0.0202881 + 0.0279242i) q^{96} +(-5.47988 - 10.7549i) q^{97} +(-2.25271 - 2.25271i) q^{98} -17.0120 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q + 12 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 128 q + 12 q^{7} + 8 q^{10} + 32 q^{16} + 8 q^{20} - 80 q^{21} - 20 q^{22} - 20 q^{23} + 40 q^{25} + 8 q^{28} - 32 q^{31} + 20 q^{33} - 48 q^{35} - 128 q^{36} + 52 q^{38} + 8 q^{41} - 20 q^{42} + 64 q^{45} - 40 q^{46} - 20 q^{47} - 20 q^{48} + 24 q^{50} - 16 q^{51} - 40 q^{53} - 40 q^{55} + 20 q^{60} - 8 q^{62} + 256 q^{63} - 160 q^{65} + 56 q^{66} + 8 q^{67} - 32 q^{70} + 56 q^{71} - 80 q^{73} - 160 q^{75} + 48 q^{76} - 20 q^{77} + 4 q^{78} - 96 q^{81} + 16 q^{82} - 240 q^{83} + 120 q^{85} + 40 q^{87} - 64 q^{90} + 80 q^{91} - 160 q^{93} + 32 q^{95} - 56 q^{97} - 176 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/310\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(251\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{7}{10}\right)\)

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
\(3\) −0.0340912 + 0.00539952i −0.0196826 + 0.00311741i −0.166268 0.986081i \(-0.553172\pi\)
0.146585 + 0.989198i \(0.453172\pi\)
\(4\) −0.951057 0.309017i −0.475528 0.154508i
\(5\) 0.0723287 + 2.23490i 0.0323464 + 0.999477i
\(6\) 0.0345162i 0.0140912i
\(7\) 0.886641 + 1.74013i 0.335119 + 0.657708i 0.995658 0.0930836i \(-0.0296724\pi\)
−0.660539 + 0.750791i \(0.729672\pi\)
\(8\) −0.453990 + 0.891007i −0.160510 + 0.315018i
\(9\) −2.85204 + 0.926683i −0.950679 + 0.308894i
\(10\) 2.21870 + 0.278177i 0.701614 + 0.0879672i
\(11\) 5.39525 + 1.75302i 1.62673 + 0.528557i 0.973516 0.228617i \(-0.0734204\pi\)
0.653213 + 0.757174i \(0.273420\pi\)
\(12\) 0.0340912 + 0.00539952i 0.00984129 + 0.00155871i
\(13\) 2.98257 0.472393i 0.827217 0.131018i 0.271551 0.962424i \(-0.412463\pi\)
0.555666 + 0.831406i \(0.312463\pi\)
\(14\) 1.85741 0.603509i 0.496413 0.161294i
\(15\) −0.0145332 0.0757999i −0.00375244 0.0195714i
\(16\) 0.809017 + 0.587785i 0.202254 + 0.146946i
\(17\) −1.26546 + 2.48361i −0.306920 + 0.602364i −0.992019 0.126086i \(-0.959759\pi\)
0.685100 + 0.728449i \(0.259759\pi\)
\(18\) 0.469117 + 2.96189i 0.110572 + 0.698124i
\(19\) −1.11652 1.53676i −0.256148 0.352557i 0.661505 0.749941i \(-0.269918\pi\)
−0.917652 + 0.397384i \(0.869918\pi\)
\(20\) 0.621833 2.14786i 0.139046 0.480277i
\(21\) −0.0396226 0.0545358i −0.00864635 0.0119007i
\(22\) 2.57544 5.05459i 0.549087 1.07764i
\(23\) −0.0394199 0.0200854i −0.00821962 0.00418810i 0.449876 0.893091i \(-0.351468\pi\)
−0.458095 + 0.888903i \(0.651468\pi\)
\(24\) 0.0106661 0.0328268i 0.00217721 0.00670075i
\(25\) −4.98954 + 0.323295i −0.997907 + 0.0646589i
\(26\) 3.01975i 0.592222i
\(27\) 0.184488 0.0940015i 0.0355048 0.0180906i
\(28\) −0.305516 1.92895i −0.0577370 0.364537i
\(29\) 7.51695 5.46138i 1.39586 1.01415i 0.400670 0.916223i \(-0.368778\pi\)
0.995193 0.0979310i \(-0.0312224\pi\)
\(30\) −0.0771401 + 0.00249651i −0.0140838 + 0.000455799i
\(31\) −5.31865 + 1.64679i −0.955258 + 0.295772i
\(32\) 0.707107 0.707107i 0.125000 0.125000i
\(33\) −0.193396 0.0306310i −0.0336660 0.00533217i
\(34\) 2.25507 + 1.63840i 0.386741 + 0.280984i
\(35\) −3.82489 + 2.10741i −0.646524 + 0.356218i
\(36\) 2.99881 0.499801
\(37\) 2.60361 + 2.60361i 0.428031 + 0.428031i 0.887957 0.459926i \(-0.152124\pi\)
−0.459926 + 0.887957i \(0.652124\pi\)
\(38\) −1.69250 + 0.862373i −0.274560 + 0.139895i
\(39\) −0.0991289 + 0.0322089i −0.0158733 + 0.00515756i
\(40\) −2.02415 0.950177i −0.320045 0.150236i
\(41\) 4.10410 2.98180i 0.640953 0.465680i −0.219224 0.975674i \(-0.570353\pi\)
0.860177 + 0.509995i \(0.170353\pi\)
\(42\) −0.0600627 + 0.0306035i −0.00926787 + 0.00472222i
\(43\) −0.816679 + 5.15631i −0.124542 + 0.786329i 0.843792 + 0.536671i \(0.180318\pi\)
−0.968334 + 0.249658i \(0.919682\pi\)
\(44\) −4.58948 3.33445i −0.691890 0.502687i
\(45\) −2.27733 6.30698i −0.339484 0.940190i
\(46\) −0.0260048 + 0.0357925i −0.00383420 + 0.00527732i
\(47\) −2.48892 + 0.394206i −0.363046 + 0.0575008i −0.335293 0.942114i \(-0.608835\pi\)
−0.0277531 + 0.999615i \(0.508835\pi\)
\(48\) −0.0307541 0.0156700i −0.00443898 0.00226177i
\(49\) 1.87257 2.57738i 0.267510 0.368196i
\(50\) −0.461221 + 4.97868i −0.0652265 + 0.704092i
\(51\) 0.0297309 0.0915022i 0.00416315 0.0128129i
\(52\) −2.98257 0.472393i −0.413608 0.0655091i
\(53\) −10.9843 5.59680i −1.50882 0.768780i −0.512847 0.858480i \(-0.671409\pi\)
−0.995969 + 0.0897000i \(0.971409\pi\)
\(54\) −0.0639838 0.196922i −0.00870709 0.0267977i
\(55\) −3.52760 + 12.1846i −0.475661 + 1.64298i
\(56\) −1.95299 −0.260980
\(57\) 0.0463614 + 0.0463614i 0.00614072 + 0.00614072i
\(58\) −4.21824 8.27875i −0.553881 1.08705i
\(59\) 1.64659 2.26634i 0.214368 0.295053i −0.688268 0.725456i \(-0.741629\pi\)
0.902636 + 0.430404i \(0.141629\pi\)
\(60\) −0.00960160 + 0.0765810i −0.00123956 + 0.00988656i
\(61\) 6.54992i 0.838631i −0.907841 0.419316i \(-0.862270\pi\)
0.907841 0.419316i \(-0.137730\pi\)
\(62\) 0.794496 + 5.51079i 0.100901 + 0.699871i
\(63\) −4.14128 4.14128i −0.521753 0.521753i
\(64\) −0.587785 0.809017i −0.0734732 0.101127i
\(65\) 1.27148 + 6.63158i 0.157707 + 0.822546i
\(66\) −0.0605077 + 0.186224i −0.00744798 + 0.0229225i
\(67\) −7.51327 + 7.51327i −0.917891 + 0.917891i −0.996876 0.0789844i \(-0.974832\pi\)
0.0789844 + 0.996876i \(0.474832\pi\)
\(68\) 1.97100 1.97100i 0.239019 0.239019i
\(69\) 0.00145232 0.000471889i 0.000174839 5.68088e-5i
\(70\) 1.48312 + 4.10747i 0.177267 + 0.490936i
\(71\) 0.478046 + 1.47128i 0.0567337 + 0.174608i 0.975408 0.220408i \(-0.0707389\pi\)
−0.918674 + 0.395016i \(0.870739\pi\)
\(72\) 0.469117 2.96189i 0.0552860 0.349062i
\(73\) 3.59187 + 7.04944i 0.420396 + 0.825074i 0.999949 + 0.0101392i \(0.00322746\pi\)
−0.579552 + 0.814935i \(0.696773\pi\)
\(74\) 2.97885 2.16426i 0.346284 0.251590i
\(75\) 0.168354 0.0379626i 0.0194398 0.00438355i
\(76\) 0.586990 + 1.80657i 0.0673324 + 0.207228i
\(77\) 1.73316 + 10.9428i 0.197512 + 1.24704i
\(78\) 0.0163052 + 0.102947i 0.00184620 + 0.0116565i
\(79\) −0.636609 1.95928i −0.0716242 0.220437i 0.908836 0.417153i \(-0.136972\pi\)
−0.980460 + 0.196717i \(0.936972\pi\)
\(80\) −1.25512 + 1.85058i −0.140327 + 0.206902i
\(81\) 7.27248 5.28377i 0.808053 0.587085i
\(82\) −2.30307 4.52003i −0.254332 0.499154i
\(83\) 0.509938 3.21962i 0.0559730 0.353400i −0.943767 0.330610i \(-0.892745\pi\)
0.999740 0.0227891i \(-0.00725464\pi\)
\(84\) 0.0208308 + 0.0641107i 0.00227283 + 0.00699505i
\(85\) −5.64214 2.64854i −0.611976 0.287275i
\(86\) 4.96507 + 1.61325i 0.535397 + 0.173961i
\(87\) −0.226773 + 0.226773i −0.0243126 + 0.0243126i
\(88\) −4.01135 + 4.01135i −0.427611 + 0.427611i
\(89\) 4.49739 13.8415i 0.476722 1.46720i −0.366899 0.930261i \(-0.619580\pi\)
0.843621 0.536939i \(-0.180420\pi\)
\(90\) −6.58559 + 1.26266i −0.694182 + 0.133096i
\(91\) 3.46650 + 4.77122i 0.363388 + 0.500160i
\(92\) 0.0312838 + 0.0312838i 0.00326156 + 0.00326156i
\(93\) 0.172428 0.0848593i 0.0178799 0.00879950i
\(94\) 2.51994i 0.259912i
\(95\) 3.35375 2.60646i 0.344087 0.267418i
\(96\) −0.0202881 + 0.0279242i −0.00207065 + 0.00285000i
\(97\) −5.47988 10.7549i −0.556398 1.09199i −0.982316 0.187231i \(-0.940049\pi\)
0.425918 0.904762i \(-0.359951\pi\)
\(98\) −2.25271 2.25271i −0.227558 0.227558i
\(99\) −17.0120 −1.70977
\(100\) 4.84524 + 1.23438i 0.484524 + 0.123438i
\(101\) −0.227738 0.700904i −0.0226607 0.0697426i 0.939087 0.343680i \(-0.111674\pi\)
−0.961747 + 0.273938i \(0.911674\pi\)
\(102\) −0.0857247 0.0436789i −0.00848801 0.00432486i
\(103\) −8.59175 1.36080i −0.846570 0.134084i −0.281945 0.959431i \(-0.590979\pi\)
−0.564626 + 0.825347i \(0.690979\pi\)
\(104\) −0.933154 + 2.87195i −0.0915033 + 0.281618i
\(105\) 0.119016 0.0924969i 0.0116148 0.00902677i
\(106\) −7.24623 + 9.97358i −0.703816 + 0.968719i
\(107\) 5.76634 + 2.93810i 0.557453 + 0.284037i 0.709932 0.704270i \(-0.248726\pi\)
−0.152479 + 0.988307i \(0.548726\pi\)
\(108\) −0.204507 + 0.0323907i −0.0196787 + 0.00311680i
\(109\) −0.929272 + 1.27903i −0.0890081 + 0.122509i −0.851199 0.524843i \(-0.824124\pi\)
0.762191 + 0.647353i \(0.224124\pi\)
\(110\) 11.4828 + 5.39026i 1.09484 + 0.513941i
\(111\) −0.102819 0.0747020i −0.00975910 0.00709040i
\(112\) −0.305516 + 1.92895i −0.0288685 + 0.182269i
\(113\) 14.9555 7.62020i 1.40689 0.716848i 0.424808 0.905284i \(-0.360342\pi\)
0.982086 + 0.188436i \(0.0603417\pi\)
\(114\) 0.0530431 0.0385381i 0.00496794 0.00360942i
\(115\) 0.0420377 0.0895522i 0.00392004 0.00835079i
\(116\) −8.83671 + 2.87122i −0.820468 + 0.266586i
\(117\) −8.06865 + 4.11118i −0.745947 + 0.380079i
\(118\) −1.98086 1.98086i −0.182352 0.182352i
\(119\) −5.44382 −0.499034
\(120\) 0.0741361 + 0.0214633i 0.00676767 + 0.00195932i
\(121\) 17.1365 + 12.4504i 1.55786 + 1.13185i
\(122\) −6.46928 1.02463i −0.585701 0.0927659i
\(123\) −0.123814 + 0.123814i −0.0111639 + 0.0111639i
\(124\) 5.56723 + 0.0773630i 0.499952 + 0.00694740i
\(125\) −1.08342 11.1277i −0.0969038 0.995294i
\(126\) −4.73814 + 3.44246i −0.422107 + 0.306678i
\(127\) −2.19161 13.8373i −0.194474 1.22786i −0.870941 0.491388i \(-0.836490\pi\)
0.676467 0.736473i \(-0.263510\pi\)
\(128\) −0.891007 + 0.453990i −0.0787546 + 0.0401275i
\(129\) 0.180195i 0.0158652i
\(130\) 6.74883 0.218415i 0.591912 0.0191562i
\(131\) 6.69245 20.5973i 0.584722 1.79959i −0.0156598 0.999877i \(-0.504985\pi\)
0.600382 0.799713i \(-0.295015\pi\)
\(132\) 0.174465 + 0.0888945i 0.0151853 + 0.00773728i
\(133\) 1.68421 3.30545i 0.146040 0.286619i
\(134\) 6.24543 + 8.59610i 0.539523 + 0.742590i
\(135\) 0.223427 + 0.405513i 0.0192296 + 0.0349010i
\(136\) −1.63840 2.25507i −0.140492 0.193371i
\(137\) 0.987694 + 6.23606i 0.0843844 + 0.532782i 0.993278 + 0.115754i \(0.0369284\pi\)
−0.908893 + 0.417028i \(0.863072\pi\)
\(138\) 0.000693273 0.00136062i 5.90153e−5 0.000115824i
\(139\) 4.12745 + 2.99877i 0.350086 + 0.254352i 0.748905 0.662677i \(-0.230580\pi\)
−0.398819 + 0.917030i \(0.630580\pi\)
\(140\) 4.28891 0.822315i 0.362479 0.0694983i
\(141\) 0.0827217 0.0268779i 0.00696643 0.00226353i
\(142\) 1.52794 0.242003i 0.128222 0.0203084i
\(143\) 16.9198 + 2.67984i 1.41491 + 0.224100i
\(144\) −2.85204 0.926683i −0.237670 0.0772236i
\(145\) 12.7493 + 16.4046i 1.05877 + 1.36233i
\(146\) 7.52454 2.44487i 0.622735 0.202339i
\(147\) −0.0499217 + 0.0979769i −0.00411747 + 0.00808100i
\(148\) −1.67162 3.28074i −0.137406 0.269675i
\(149\) 18.0009i 1.47469i 0.675514 + 0.737347i \(0.263922\pi\)
−0.675514 + 0.737347i \(0.736078\pi\)
\(150\) −0.0111589 0.172220i −0.000911120 0.0140617i
\(151\) 1.48691 + 0.483127i 0.121003 + 0.0393163i 0.368893 0.929472i \(-0.379737\pi\)
−0.247890 + 0.968788i \(0.579737\pi\)
\(152\) 1.87615 0.297154i 0.152176 0.0241023i
\(153\) 1.30763 8.25602i 0.105715 0.667460i
\(154\) 11.0792 0.892784
\(155\) −4.06510 11.7675i −0.326517 0.945191i
\(156\) 0.104230 0.00834510
\(157\) 0.485647 3.06625i 0.0387588 0.244714i −0.960701 0.277586i \(-0.910466\pi\)
0.999460 + 0.0328726i \(0.0104656\pi\)
\(158\) −2.03475 + 0.322272i −0.161876 + 0.0256386i
\(159\) 0.404690 + 0.131492i 0.0320940 + 0.0104280i
\(160\) 1.63146 + 1.52917i 0.128978 + 0.120891i
\(161\) 0.0864044i 0.00680962i
\(162\) −4.08105 8.00951i −0.320637 0.629286i
\(163\) −10.7815 + 21.1600i −0.844475 + 1.65738i −0.0948703 + 0.995490i \(0.530244\pi\)
−0.749605 + 0.661886i \(0.769756\pi\)
\(164\) −4.82466 + 1.56763i −0.376743 + 0.122411i
\(165\) 0.0544690 0.434436i 0.00424040 0.0338208i
\(166\) −3.10021 1.00732i −0.240623 0.0781832i
\(167\) 19.4122 + 3.07460i 1.50216 + 0.237920i 0.852671 0.522448i \(-0.174981\pi\)
0.649493 + 0.760367i \(0.274981\pi\)
\(168\) 0.0665800 0.0105452i 0.00513676 0.000813583i
\(169\) −3.69115 + 1.19933i −0.283935 + 0.0922559i
\(170\) −3.49856 + 5.15835i −0.268327 + 0.395628i
\(171\) 4.60845 + 3.34824i 0.352417 + 0.256046i
\(172\) 2.37009 4.65157i 0.180718 0.354679i
\(173\) −2.75716 17.4080i −0.209623 1.32351i −0.838031 0.545622i \(-0.816293\pi\)
0.628409 0.777883i \(-0.283707\pi\)
\(174\) 0.188506 + 0.259456i 0.0142906 + 0.0196693i
\(175\) −4.98650 8.39580i −0.376944 0.634663i
\(176\) 3.33445 + 4.58948i 0.251344 + 0.345945i
\(177\) −0.0438972 + 0.0861532i −0.00329952 + 0.00647567i
\(178\) −12.9676 6.60731i −0.971961 0.495239i
\(179\) 4.12127 12.6840i 0.308038 0.948043i −0.670488 0.741920i \(-0.733915\pi\)
0.978526 0.206123i \(-0.0660847\pi\)
\(180\) 0.216900 + 6.70203i 0.0161668 + 0.499540i
\(181\) 13.5096i 1.00416i −0.864820 0.502082i \(-0.832568\pi\)
0.864820 0.502082i \(-0.167432\pi\)
\(182\) 5.25476 2.67744i 0.389509 0.198465i
\(183\) 0.0353664 + 0.223295i 0.00261436 + 0.0165064i
\(184\) 0.0357925 0.0260048i 0.00263866 0.00191710i
\(185\) −5.63049 + 6.00712i −0.413962 + 0.441652i
\(186\) −0.0568409 0.183580i −0.00416778 0.0134607i
\(187\) −11.1813 + 11.1813i −0.817658 + 0.817658i
\(188\) 2.48892 + 0.394206i 0.181523 + 0.0287504i
\(189\) 0.327150 + 0.237688i 0.0237966 + 0.0172893i
\(190\) −2.04973 3.72020i −0.148703 0.269891i
\(191\) 23.6172 1.70888 0.854441 0.519548i \(-0.173900\pi\)
0.854441 + 0.519548i \(0.173900\pi\)
\(192\) 0.0244066 + 0.0244066i 0.00176140 + 0.00176140i
\(193\) 23.1802 11.8109i 1.66855 0.850169i 0.674869 0.737938i \(-0.264200\pi\)
0.993682 0.112231i \(-0.0357998\pi\)
\(194\) −11.4797 + 3.72998i −0.824195 + 0.267797i
\(195\) −0.0791535 0.219213i −0.00566830 0.0156982i
\(196\) −2.57738 + 1.87257i −0.184098 + 0.133755i
\(197\) 4.50514 2.29549i 0.320978 0.163547i −0.286076 0.958207i \(-0.592351\pi\)
0.607054 + 0.794660i \(0.292351\pi\)
\(198\) −2.66126 + 16.8025i −0.189127 + 1.19410i
\(199\) −2.78740 2.02517i −0.197594 0.143560i 0.484589 0.874742i \(-0.338969\pi\)
−0.682183 + 0.731182i \(0.738969\pi\)
\(200\) 1.97714 4.59248i 0.139805 0.324738i
\(201\) 0.215568 0.296705i 0.0152050 0.0209279i
\(202\) −0.727901 + 0.115288i −0.0512149 + 0.00811165i
\(203\) 16.1684 + 8.23819i 1.13480 + 0.578208i
\(204\) −0.0565515 + 0.0778364i −0.00395939 + 0.00544964i
\(205\) 6.96087 + 8.95658i 0.486169 + 0.625555i
\(206\) −2.68809 + 8.27309i −0.187288 + 0.576414i
\(207\) 0.131040 + 0.0207547i 0.00910790 + 0.00144255i
\(208\) 2.69062 + 1.37094i 0.186561 + 0.0950575i
\(209\) −3.32994 10.2485i −0.230337 0.708904i
\(210\) −0.0727399 0.132020i −0.00501953 0.00911028i
\(211\) −5.48313 −0.377474 −0.188737 0.982028i \(-0.560439\pi\)
−0.188737 + 0.982028i \(0.560439\pi\)
\(212\) 8.71723 + 8.71723i 0.598701 + 0.598701i
\(213\) −0.0242414 0.0475764i −0.00166099 0.00325988i
\(214\) 3.80398 5.23573i 0.260035 0.357907i
\(215\) −11.5829 1.45224i −0.789946 0.0990422i
\(216\) 0.207056i 0.0140884i
\(217\) −7.58137 7.79504i −0.514657 0.529162i
\(218\) 1.11792 + 1.11792i 0.0757148 + 0.0757148i
\(219\) −0.160515 0.220930i −0.0108466 0.0149290i
\(220\) 7.12020 10.4982i 0.480044 0.707788i
\(221\) −2.60109 + 8.00534i −0.174968 + 0.538497i
\(222\) −0.0898667 + 0.0898667i −0.00603146 + 0.00603146i
\(223\) −18.7462 + 18.7462i −1.25534 + 1.25534i −0.302040 + 0.953295i \(0.597668\pi\)
−0.953295 + 0.302040i \(0.902332\pi\)
\(224\) 1.85741 + 0.603509i 0.124103 + 0.0403236i
\(225\) 13.9308 5.54577i 0.928717 0.369718i
\(226\) −5.18683 15.9634i −0.345023 1.06187i
\(227\) −3.36987 + 21.2765i −0.223666 + 1.41217i 0.578799 + 0.815471i \(0.303522\pi\)
−0.802464 + 0.596700i \(0.796478\pi\)
\(228\) −0.0297658 0.0584188i −0.00197129 0.00386888i
\(229\) −17.5781 + 12.7713i −1.16160 + 0.843948i −0.989979 0.141215i \(-0.954899\pi\)
−0.171617 + 0.985164i \(0.554899\pi\)
\(230\) −0.0818735 0.0555292i −0.00539858 0.00366149i
\(231\) −0.118171 0.363694i −0.00777510 0.0239293i
\(232\) 1.45350 + 9.17707i 0.0954273 + 0.602504i
\(233\) −1.21710 7.68445i −0.0797346 0.503425i −0.994943 0.100443i \(-0.967974\pi\)
0.915208 0.402981i \(-0.132026\pi\)
\(234\) 2.79835 + 8.61244i 0.182934 + 0.563013i
\(235\) −1.06103 5.53396i −0.0692139 0.360996i
\(236\) −2.26634 + 1.64659i −0.147526 + 0.107184i
\(237\) 0.0322820 + 0.0633570i 0.00209694 + 0.00411548i
\(238\) −0.851600 + 5.37679i −0.0552011 + 0.348526i
\(239\) 3.53760 + 10.8876i 0.228828 + 0.704261i 0.997880 + 0.0650748i \(0.0207286\pi\)
−0.769052 + 0.639186i \(0.779271\pi\)
\(240\) 0.0327965 0.0698658i 0.00211700 0.00450982i
\(241\) −11.5827 3.76345i −0.746108 0.242425i −0.0888026 0.996049i \(-0.528304\pi\)
−0.657306 + 0.753624i \(0.728304\pi\)
\(242\) 14.9778 14.9778i 0.962811 0.962811i
\(243\) −0.658630 + 0.658630i −0.0422511 + 0.0422511i
\(244\) −2.02404 + 6.22934i −0.129576 + 0.398793i
\(245\) 5.89561 + 3.99859i 0.376657 + 0.255461i
\(246\) 0.102921 + 0.141658i 0.00656197 + 0.00903178i
\(247\) −4.05606 4.05606i −0.258081 0.258081i
\(248\) 0.947317 5.48658i 0.0601547 0.348398i
\(249\) 0.112514i 0.00713031i
\(250\) −11.1602 0.670681i −0.705833 0.0424176i
\(251\) −8.24981 + 11.3549i −0.520724 + 0.716714i −0.985681 0.168618i \(-0.946069\pi\)
0.464958 + 0.885333i \(0.346069\pi\)
\(252\) 2.65887 + 5.21832i 0.167493 + 0.328723i
\(253\) −0.177470 0.177470i −0.0111574 0.0111574i
\(254\) −14.0098 −0.879051
\(255\) 0.206648 + 0.0598272i 0.0129408 + 0.00374652i
\(256\) 0.309017 + 0.951057i 0.0193136 + 0.0594410i
\(257\) −4.96749 2.53106i −0.309864 0.157883i 0.292143 0.956375i \(-0.405632\pi\)
−0.602006 + 0.798491i \(0.705632\pi\)
\(258\) −0.177976 0.0281886i −0.0110803 0.00175495i
\(259\) −2.22216 + 6.83909i −0.138078 + 0.424961i
\(260\) 0.840025 6.69991i 0.0520961 0.415511i
\(261\) −16.3776 + 22.5419i −1.01375 + 1.39531i
\(262\) −19.2967 9.83218i −1.19216 0.607434i
\(263\) −20.0708 + 3.17891i −1.23762 + 0.196020i −0.740736 0.671797i \(-0.765523\pi\)
−0.496885 + 0.867816i \(0.665523\pi\)
\(264\) 0.115092 0.158411i 0.00708345 0.00974954i
\(265\) 11.7138 24.9537i 0.719573 1.53289i
\(266\) −3.00129 2.18056i −0.184021 0.133699i
\(267\) −0.0785838 + 0.496159i −0.00480925 + 0.0303644i
\(268\) 9.46727 4.82381i 0.578305 0.294661i
\(269\) −12.5847 + 9.14330i −0.767301 + 0.557477i −0.901141 0.433526i \(-0.857269\pi\)
0.133840 + 0.991003i \(0.457269\pi\)
\(270\) 0.435473 0.157240i 0.0265020 0.00956935i
\(271\) −14.7283 + 4.78550i −0.894678 + 0.290699i −0.720039 0.693934i \(-0.755876\pi\)
−0.174640 + 0.984632i \(0.555876\pi\)
\(272\) −2.48361 + 1.26546i −0.150591 + 0.0767299i
\(273\) −0.143940 0.143940i −0.00871162 0.00871162i
\(274\) 6.31379 0.381430
\(275\) −27.4866 7.00252i −1.65750 0.422268i
\(276\) −0.00123542 0.000897586i −7.43636e−5 5.40283e-5i
\(277\) −8.95144 1.41777i −0.537840 0.0851855i −0.118396 0.992967i \(-0.537775\pi\)
−0.419444 + 0.907781i \(0.637775\pi\)
\(278\) 3.60752 3.60752i 0.216365 0.216365i
\(279\) 13.6429 9.62541i 0.816782 0.576258i
\(280\) −0.141258 4.36474i −0.00844176 0.260843i
\(281\) −3.88307 + 2.82122i −0.231645 + 0.168300i −0.697553 0.716533i \(-0.745728\pi\)
0.465908 + 0.884833i \(0.345728\pi\)
\(282\) −0.0136065 0.0859079i −0.000810254 0.00511574i
\(283\) 3.81399 1.94332i 0.226718 0.115519i −0.336942 0.941525i \(-0.609393\pi\)
0.563660 + 0.826007i \(0.309393\pi\)
\(284\) 1.54699i 0.0917970i
\(285\) −0.100260 + 0.106966i −0.00593887 + 0.00633613i
\(286\) 5.29370 16.2923i 0.313023 0.963385i
\(287\) 8.82760 + 4.49789i 0.521077 + 0.265502i
\(288\) −1.36143 + 2.67196i −0.0802231 + 0.157447i
\(289\) 5.42543 + 7.46747i 0.319143 + 0.439263i
\(290\) 18.1971 10.0261i 1.06857 0.588754i
\(291\) 0.244887 + 0.337058i 0.0143555 + 0.0197587i
\(292\) −1.23767 7.81436i −0.0724294 0.457301i
\(293\) 1.68306 3.30319i 0.0983254 0.192974i −0.836604 0.547808i \(-0.815462\pi\)
0.934930 + 0.354833i \(0.115462\pi\)
\(294\) 0.0889612 + 0.0646341i 0.00518832 + 0.00376953i
\(295\) 5.18414 + 3.51605i 0.301832 + 0.204712i
\(296\) −3.50185 + 1.13782i −0.203541 + 0.0661344i
\(297\) 1.16015 0.183749i 0.0673186 0.0106622i
\(298\) 17.7793 + 2.81597i 1.02993 + 0.163125i
\(299\) −0.127061 0.0412846i −0.00734812 0.00238755i
\(300\) −0.171845 0.0159196i −0.00992148 0.000919118i
\(301\) −9.69675 + 3.15067i −0.558911 + 0.181601i
\(302\) 0.709783 1.39303i 0.0408434 0.0801597i
\(303\) 0.0115484 + 0.0226650i 0.000663438 + 0.00130207i
\(304\) 1.89954i 0.108946i
\(305\) 14.6384 0.473747i 0.838192 0.0271267i
\(306\) −7.94982 2.58305i −0.454461 0.147663i
\(307\) 16.5781 2.62571i 0.946160 0.149857i 0.335758 0.941948i \(-0.391008\pi\)
0.610403 + 0.792091i \(0.291008\pi\)
\(308\) 1.73316 10.9428i 0.0987560 0.623521i
\(309\) 0.300251 0.0170807
\(310\) −12.2586 + 2.17420i −0.696241 + 0.123487i
\(311\) −28.5542 −1.61916 −0.809581 0.587009i \(-0.800305\pi\)
−0.809581 + 0.587009i \(0.800305\pi\)
\(312\) 0.0163052 0.102947i 0.000923101 0.00582823i
\(313\) −5.74111 + 0.909303i −0.324507 + 0.0513968i −0.316563 0.948572i \(-0.602529\pi\)
−0.00794419 + 0.999968i \(0.502529\pi\)
\(314\) −2.95253 0.959336i −0.166621 0.0541384i
\(315\) 8.95581 9.55488i 0.504603 0.538356i
\(316\) 2.06011i 0.115890i
\(317\) −3.49396 6.85728i −0.196240 0.385143i 0.771827 0.635832i \(-0.219343\pi\)
−0.968068 + 0.250689i \(0.919343\pi\)
\(318\) 0.193180 0.379138i 0.0108330 0.0212610i
\(319\) 50.1298 16.2882i 2.80673 0.911962i
\(320\) 1.76556 1.37216i 0.0986976 0.0767058i
\(321\) −0.212446 0.0690279i −0.0118576 0.00385276i
\(322\) −0.0853406 0.0135166i −0.00475585 0.000753252i
\(323\) 5.22963 0.828292i 0.290984 0.0460874i
\(324\) −8.54931 + 2.77784i −0.474962 + 0.154324i
\(325\) −14.7289 + 3.32127i −0.817014 + 0.184231i
\(326\) 19.2128 + 13.9589i 1.06410 + 0.773114i
\(327\) 0.0247739 0.0486214i 0.00137000 0.00268877i
\(328\) 0.793584 + 5.01049i 0.0438184 + 0.276658i
\(329\) −2.89275 3.98152i −0.159482 0.219508i
\(330\) −0.420567 0.121759i −0.0231515 0.00670262i
\(331\) −20.7682 28.5850i −1.14153 1.57118i −0.764051 0.645156i \(-0.776792\pi\)
−0.377475 0.926020i \(-0.623208\pi\)
\(332\) −1.47990 + 2.90446i −0.0812200 + 0.159403i
\(333\) −9.83831 5.01287i −0.539136 0.274704i
\(334\) 6.07349 18.6923i 0.332327 1.02280i
\(335\) −17.3348 16.2480i −0.947102 0.887721i
\(336\) 0.0674099i 0.00367751i
\(337\) 4.05823 2.06777i 0.221066 0.112639i −0.339951 0.940443i \(-0.610410\pi\)
0.561017 + 0.827804i \(0.310410\pi\)
\(338\) 0.607139 + 3.83332i 0.0330240 + 0.208505i
\(339\) −0.468705 + 0.340534i −0.0254566 + 0.0184953i
\(340\) 4.54755 + 4.26243i 0.246626 + 0.231163i
\(341\) −31.5823 0.438873i −1.71028 0.0237663i
\(342\) 4.02793 4.02793i 0.217806 0.217806i
\(343\) 19.6479 + 3.11193i 1.06089 + 0.168028i
\(344\) −4.22354 3.06858i −0.227718 0.165447i
\(345\) −0.000949579 0.00327993i −5.11236e−5 0.000176585i
\(346\) −17.6250 −0.947525
\(347\) 17.0082 + 17.0082i 0.913049 + 0.913049i 0.996511 0.0834619i \(-0.0265977\pi\)
−0.0834619 + 0.996511i \(0.526598\pi\)
\(348\) 0.285751 0.145597i 0.0153179 0.00780484i
\(349\) 3.52713 1.14603i 0.188803 0.0613458i −0.213089 0.977033i \(-0.568353\pi\)
0.401892 + 0.915687i \(0.368353\pi\)
\(350\) −9.07250 + 3.61172i −0.484945 + 0.193054i
\(351\) 0.505844 0.367517i 0.0270000 0.0196166i
\(352\) 5.05459 2.57544i 0.269411 0.137272i
\(353\) −2.59476 + 16.3827i −0.138105 + 0.871963i 0.817203 + 0.576350i \(0.195524\pi\)
−0.955308 + 0.295612i \(0.904476\pi\)
\(354\) 0.0782255 + 0.0568341i 0.00415764 + 0.00302070i
\(355\) −3.25357 + 1.17480i −0.172682 + 0.0623519i
\(356\) −8.55454 + 11.7743i −0.453390 + 0.624037i
\(357\) 0.185586 0.0293940i 0.00982227 0.00155570i
\(358\) −11.8831 6.05473i −0.628041 0.320003i
\(359\) −16.9015 + 23.2629i −0.892026 + 1.22777i 0.0809164 + 0.996721i \(0.474215\pi\)
−0.972942 + 0.231048i \(0.925785\pi\)
\(360\) 6.65345 + 0.834199i 0.350668 + 0.0439662i
\(361\) 4.75631 14.6384i 0.250332 0.770443i
\(362\) −13.3433 2.11337i −0.701309 0.111076i
\(363\) −0.651430 0.331920i −0.0341912 0.0174213i
\(364\) −1.82245 5.60891i −0.0955221 0.293987i
\(365\) −15.4950 + 8.53733i −0.811044 + 0.446865i
\(366\) 0.226078 0.0118173
\(367\) −11.6599 11.6599i −0.608644 0.608644i 0.333948 0.942592i \(-0.391619\pi\)
−0.942592 + 0.333948i \(0.891619\pi\)
\(368\) −0.0200854 0.0394199i −0.00104703 0.00205490i
\(369\) −8.94186 + 12.3074i −0.465495 + 0.640699i
\(370\) 5.05236 + 6.50089i 0.262660 + 0.337965i
\(371\) 24.0766i 1.24999i
\(372\) −0.190211 + 0.0274230i −0.00986200 + 0.00142181i
\(373\) 16.9373 + 16.9373i 0.876980 + 0.876980i 0.993221 0.116241i \(-0.0370845\pi\)
−0.116241 + 0.993221i \(0.537084\pi\)
\(374\) 9.29451 + 12.7928i 0.480608 + 0.661500i
\(375\) 0.0970194 + 0.373508i 0.00501006 + 0.0192879i
\(376\) 0.778705 2.39661i 0.0401586 0.123596i
\(377\) 19.8399 19.8399i 1.02181 1.02181i
\(378\) 0.285939 0.285939i 0.0147071 0.0147071i
\(379\) 16.5201 + 5.36769i 0.848579 + 0.275720i 0.700851 0.713308i \(-0.252804\pi\)
0.147728 + 0.989028i \(0.452804\pi\)
\(380\) −3.99504 + 1.44253i −0.204941 + 0.0740003i
\(381\) 0.149429 + 0.459896i 0.00765550 + 0.0235612i
\(382\) 3.69455 23.3265i 0.189030 1.19349i
\(383\) 12.2890 + 24.1185i 0.627937 + 1.23240i 0.957547 + 0.288279i \(0.0930829\pi\)
−0.329609 + 0.944117i \(0.606917\pi\)
\(384\) 0.0279242 0.0202881i 0.00142500 0.00103532i
\(385\) −24.3306 + 4.66491i −1.24000 + 0.237746i
\(386\) −8.03932 24.7425i −0.409191 1.25936i
\(387\) −2.44906 15.4628i −0.124493 0.786017i
\(388\) 1.88824 + 11.9219i 0.0958608 + 0.605241i
\(389\) 3.29079 + 10.1280i 0.166850 + 0.513510i 0.999168 0.0407877i \(-0.0129867\pi\)
−0.832318 + 0.554298i \(0.812987\pi\)
\(390\) −0.228897 + 0.0438865i −0.0115906 + 0.00222228i
\(391\) 0.0997688 0.0724862i 0.00504552 0.00366579i
\(392\) 1.44633 + 2.83858i 0.0730506 + 0.143370i
\(393\) −0.116939 + 0.738322i −0.00589878 + 0.0372434i
\(394\) −1.56246 4.80877i −0.0787158 0.242262i
\(395\) 4.33275 1.56447i 0.218004 0.0787170i
\(396\) 16.1793 + 5.25698i 0.813042 + 0.264173i
\(397\) −22.1373 + 22.1373i −1.11104 + 1.11104i −0.118027 + 0.993010i \(0.537657\pi\)
−0.993010 + 0.118027i \(0.962343\pi\)
\(398\) −2.43628 + 2.43628i −0.122120 + 0.122120i
\(399\) −0.0395690 + 0.121781i −0.00198093 + 0.00609667i
\(400\) −4.22665 2.67123i −0.211332 0.133561i
\(401\) 15.2827 + 21.0348i 0.763181 + 1.05043i 0.996943 + 0.0781347i \(0.0248964\pi\)
−0.233762 + 0.972294i \(0.575104\pi\)
\(402\) −0.259329 0.259329i −0.0129342 0.0129342i
\(403\) −15.0853 + 7.42417i −0.751454 + 0.369824i
\(404\) 0.736974i 0.0366658i
\(405\) 12.3347 + 15.8711i 0.612915 + 0.788640i
\(406\) 10.6661 14.6806i 0.529347 0.728584i
\(407\) 9.48295 + 18.6113i 0.470052 + 0.922529i
\(408\) 0.0680315 + 0.0680315i 0.00336806 + 0.00336806i
\(409\) 0.627954 0.0310503 0.0155252 0.999879i \(-0.495058\pi\)
0.0155252 + 0.999879i \(0.495058\pi\)
\(410\) 9.93523 5.47406i 0.490666 0.270344i
\(411\) −0.0673434 0.207262i −0.00332181 0.0102235i
\(412\) 7.75073 + 3.94919i 0.381851 + 0.194563i
\(413\) 5.40367 + 0.855857i 0.265897 + 0.0421140i
\(414\) 0.0409983 0.126180i 0.00201496 0.00620140i
\(415\) 7.23241 + 0.906789i 0.355025 + 0.0445125i
\(416\) 1.77497 2.44303i 0.0870248 0.119779i
\(417\) −0.156902 0.0799455i −0.00768351 0.00391495i
\(418\) −10.6432 + 1.68572i −0.520578 + 0.0824515i
\(419\) 7.71708 10.6216i 0.377004 0.518902i −0.577784 0.816190i \(-0.696082\pi\)
0.954788 + 0.297288i \(0.0960823\pi\)
\(420\) −0.141774 + 0.0511918i −0.00691787 + 0.00249790i
\(421\) 21.0200 + 15.2719i 1.02445 + 0.744307i 0.967191 0.254052i \(-0.0817634\pi\)
0.0572606 + 0.998359i \(0.481763\pi\)
\(422\) −0.857751 + 5.41563i −0.0417547 + 0.263629i
\(423\) 6.73318 3.43073i 0.327378 0.166808i
\(424\) 9.97358 7.24623i 0.484360 0.351908i
\(425\) 5.51113 12.8012i 0.267329 0.620948i
\(426\) −0.0507828 + 0.0165003i −0.00246044 + 0.000799444i
\(427\) 11.3977 5.80743i 0.551574 0.281041i
\(428\) −4.57619 4.57619i −0.221199 0.221199i
\(429\) −0.591288 −0.0285477
\(430\) −3.24633 + 11.2131i −0.156552 + 0.540744i
\(431\) 2.40686 + 1.74869i 0.115934 + 0.0842313i 0.644242 0.764822i \(-0.277173\pi\)
−0.528307 + 0.849053i \(0.677173\pi\)
\(432\) 0.204507 + 0.0323907i 0.00983934 + 0.00155840i
\(433\) 8.08981 8.08981i 0.388771 0.388771i −0.485478 0.874249i \(-0.661354\pi\)
0.874249 + 0.485478i \(0.161354\pi\)
\(434\) −8.88506 + 6.26862i −0.426497 + 0.300903i
\(435\) −0.523217 0.490413i −0.0250864 0.0235135i
\(436\) 1.27903 0.929272i 0.0612546 0.0445040i
\(437\) 0.0131467 + 0.0830048i 0.000628890 + 0.00397066i
\(438\) −0.243320 + 0.123978i −0.0116263 + 0.00592388i
\(439\) 12.1121i 0.578079i 0.957317 + 0.289039i \(0.0933358\pi\)
−0.957317 + 0.289039i \(0.906664\pi\)
\(440\) −9.25509 8.67482i −0.441219 0.413556i
\(441\) −2.95224 + 9.08605i −0.140583 + 0.432669i
\(442\) 7.49988 + 3.82138i 0.356733 + 0.181764i
\(443\) −4.92630 + 9.66840i −0.234055 + 0.459360i −0.977922 0.208968i \(-0.932990\pi\)
0.743867 + 0.668328i \(0.232990\pi\)
\(444\) 0.0747020 + 0.102819i 0.00354520 + 0.00487955i
\(445\) 31.2597 + 9.05006i 1.48185 + 0.429014i
\(446\) 15.5828 + 21.4479i 0.737868 + 1.01559i
\(447\) −0.0971964 0.613674i −0.00459723 0.0290258i
\(448\) 0.886641 1.74013i 0.0418899 0.0822135i
\(449\) −27.4106 19.9150i −1.29359 0.939845i −0.293715 0.955893i \(-0.594892\pi\)
−0.999871 + 0.0160475i \(0.994892\pi\)
\(450\) −3.29824 14.6268i −0.155480 0.689513i
\(451\) 27.3698 8.89300i 1.28880 0.418755i
\(452\) −16.5783 + 2.62574i −0.779777 + 0.123504i
\(453\) −0.0532993 0.00844178i −0.00250422 0.000396629i
\(454\) 20.4874 + 6.65675i 0.961521 + 0.312417i
\(455\) −10.4125 + 8.09237i −0.488144 + 0.379376i
\(456\) −0.0623559 + 0.0202607i −0.00292008 + 0.000948793i
\(457\) −4.23532 + 8.31228i −0.198120 + 0.388832i −0.968597 0.248635i \(-0.920018\pi\)
0.770477 + 0.637467i \(0.220018\pi\)
\(458\) 9.86420 + 19.3596i 0.460924 + 0.904614i
\(459\) 0.577152i 0.0269391i
\(460\) −0.0676534 + 0.0721788i −0.00315436 + 0.00336536i
\(461\) −29.8079 9.68517i −1.38829 0.451084i −0.482906 0.875672i \(-0.660419\pi\)
−0.905386 + 0.424589i \(0.860419\pi\)
\(462\) −0.377702 + 0.0598221i −0.0175723 + 0.00278318i
\(463\) 2.63249 16.6209i 0.122342 0.772439i −0.847874 0.530198i \(-0.822118\pi\)
0.970216 0.242241i \(-0.0778824\pi\)
\(464\) 9.29146 0.431345
\(465\) 0.202123 + 0.379220i 0.00937325 + 0.0175859i
\(466\) −7.78023 −0.360412
\(467\) 6.41863 40.5256i 0.297019 1.87530i −0.161876 0.986811i \(-0.551754\pi\)
0.458895 0.888491i \(-0.348246\pi\)
\(468\) 8.94416 1.41662i 0.413444 0.0654831i
\(469\) −19.7356 6.41250i −0.911307 0.296102i
\(470\) −5.63181 + 0.182264i −0.259776 + 0.00840722i
\(471\) 0.107155i 0.00493743i
\(472\) 1.27179 + 2.49602i 0.0585388 + 0.114889i
\(473\) −13.4453 + 26.3879i −0.618216 + 1.21332i
\(474\) 0.0676270 0.0219733i 0.00310621 0.00100927i
\(475\) 6.06775 + 7.30676i 0.278408 + 0.335257i
\(476\) 5.17738 + 1.68223i 0.237305 + 0.0771050i
\(477\) 36.5142 + 5.78328i 1.67187 + 0.264798i
\(478\) 11.3070 1.79085i 0.517169 0.0819114i
\(479\) 0.656294 0.213243i 0.0299868 0.00974332i −0.293985 0.955810i \(-0.594982\pi\)
0.323972 + 0.946067i \(0.394982\pi\)
\(480\) −0.0638751 0.0433221i −0.00291549 0.00197738i
\(481\) 8.99539 + 6.53553i 0.410154 + 0.297995i
\(482\) −5.52906 + 10.8514i −0.251842 + 0.494267i
\(483\) 0.000466542 0.00294563i 2.12284e−5 0.000134031i
\(484\) −12.4504 17.1365i −0.565926 0.778931i
\(485\) 23.6397 13.0249i 1.07342 0.591429i
\(486\) 0.547489 + 0.753554i 0.0248346 + 0.0341819i
\(487\) 2.62873 5.15917i 0.119119 0.233784i −0.823746 0.566959i \(-0.808120\pi\)
0.942865 + 0.333175i \(0.108120\pi\)
\(488\) 5.83602 + 2.97360i 0.264184 + 0.134609i
\(489\) 0.253302 0.779584i 0.0114547 0.0352540i
\(490\) 4.87164 5.19751i 0.220078 0.234800i
\(491\) 17.7599i 0.801493i −0.916189 0.400746i \(-0.868751\pi\)
0.916189 0.400746i \(-0.131249\pi\)
\(492\) 0.156014 0.0794932i 0.00703366 0.00358383i
\(493\) 4.05153 + 25.5803i 0.182472 + 1.15208i
\(494\) −4.64063 + 3.37162i −0.208792 + 0.151696i
\(495\) −1.23045 38.0200i −0.0553047 1.70887i
\(496\) −5.27084 1.79394i −0.236668 0.0805505i
\(497\) −2.13636 + 2.13636i −0.0958287 + 0.0958287i
\(498\) 0.111129 + 0.0176011i 0.00497982 + 0.000788725i
\(499\) 15.8163 + 11.4912i 0.708035 + 0.514417i 0.882539 0.470239i \(-0.155832\pi\)
−0.174504 + 0.984656i \(0.555832\pi\)
\(500\) −2.40826 + 10.9179i −0.107701 + 0.488263i
\(501\) −0.678389 −0.0303082
\(502\) 9.92454 + 9.92454i 0.442954 + 0.442954i
\(503\) 3.68478 1.87749i 0.164296 0.0837130i −0.369909 0.929068i \(-0.620611\pi\)
0.534205 + 0.845355i \(0.320611\pi\)
\(504\) 5.57001 1.80981i 0.248108 0.0806152i
\(505\) 1.54998 0.559666i 0.0689731 0.0249048i
\(506\) −0.203048 + 0.147523i −0.00902656 + 0.00655818i
\(507\) 0.119360 0.0608170i 0.00530097 0.00270098i
\(508\) −2.19161 + 13.8373i −0.0972370 + 0.613930i
\(509\) 4.51246 + 3.27849i 0.200011 + 0.145317i 0.683283 0.730154i \(-0.260552\pi\)
−0.483272 + 0.875471i \(0.660552\pi\)
\(510\) 0.0914176 0.194745i 0.00404804 0.00862346i
\(511\) −9.08225 + 12.5006i −0.401775 + 0.552996i
\(512\) 0.987688 0.156434i 0.0436501 0.00691349i
\(513\) −0.350443 0.178560i −0.0154724 0.00788360i
\(514\) −3.27699 + 4.51039i −0.144542 + 0.198945i
\(515\) 2.41982 19.3001i 0.106630 0.850464i
\(516\) −0.0556832 + 0.171375i −0.00245131 + 0.00754437i
\(517\) −14.1194 2.23629i −0.620970 0.0983520i
\(518\) 6.40727 + 3.26467i 0.281519 + 0.143441i
\(519\) 0.187990 + 0.578573i 0.00825183 + 0.0253965i
\(520\) −6.48602 1.87778i −0.284431 0.0823461i
\(521\) 18.6021 0.814972 0.407486 0.913212i \(-0.366406\pi\)
0.407486 + 0.913212i \(0.366406\pi\)
\(522\) 19.7023 + 19.7023i 0.862348 + 0.862348i
\(523\) 13.6136 + 26.7183i 0.595283 + 1.16831i 0.970439 + 0.241346i \(0.0775890\pi\)
−0.375156 + 0.926962i \(0.622411\pi\)
\(524\) −12.7298 + 17.5211i −0.556104 + 0.765412i
\(525\) 0.215329 + 0.259299i 0.00939774 + 0.0113167i
\(526\) 20.3210i 0.886039i
\(527\) 2.64057 15.2934i 0.115025 0.666191i
\(528\) −0.138456 0.138456i −0.00602554 0.00602554i
\(529\) −13.5179 18.6058i −0.587735 0.808948i
\(530\) −22.8140 15.4732i −0.990978 0.672113i
\(531\) −2.59596 + 7.98956i −0.112655 + 0.346717i
\(532\) −2.62322 + 2.62322i −0.113731 + 0.113731i
\(533\) 10.8322 10.8322i 0.469195 0.469195i
\(534\) 0.477757 + 0.155233i 0.0206746 + 0.00671758i
\(535\) −6.14928 + 13.0997i −0.265856 + 0.566349i
\(536\) −3.28342 10.1053i −0.141822 0.436483i
\(537\) −0.0720118 + 0.454665i −0.00310754 + 0.0196202i
\(538\) 7.06206 + 13.8601i 0.304467 + 0.597550i
\(539\) 14.6212 10.6229i 0.629780 0.457562i
\(540\) −0.0871816 0.454709i −0.00375170 0.0195676i
\(541\) −3.23443 9.95456i −0.139059 0.427980i 0.857140 0.515083i \(-0.172239\pi\)
−0.996199 + 0.0871034i \(0.972239\pi\)
\(542\) 2.42258 + 15.2956i 0.104059 + 0.657000i
\(543\) 0.0729455 + 0.460560i 0.00313039 + 0.0197645i
\(544\) 0.861360 + 2.65099i 0.0369305 + 0.113660i
\(545\) −2.92572 1.98432i −0.125324 0.0849988i
\(546\) −0.164684 + 0.119650i −0.00704785 + 0.00512056i
\(547\) −2.92976 5.74997i −0.125267 0.245851i 0.819853 0.572575i \(-0.194055\pi\)
−0.945120 + 0.326724i \(0.894055\pi\)
\(548\) 0.987694 6.23606i 0.0421922 0.266391i
\(549\) 6.06970 + 18.6806i 0.259048 + 0.797269i
\(550\) −11.2162 + 26.0527i −0.478258 + 1.11089i
\(551\) −16.7857 5.45400i −0.715094 0.232348i
\(552\) −0.00107980 + 0.00107980i −4.59592e−5 + 4.59592e-5i
\(553\) 2.84496 2.84496i 0.120980 0.120980i
\(554\) −2.80063 + 8.61945i −0.118987 + 0.366205i
\(555\) 0.159515 0.235192i 0.00677102 0.00998335i
\(556\) −2.99877 4.12745i −0.127176 0.175043i
\(557\) −19.1191 19.1191i −0.810104 0.810104i 0.174545 0.984649i \(-0.444155\pi\)
−0.984649 + 0.174545i \(0.944155\pi\)
\(558\) −7.37268 14.9807i −0.312111 0.634184i
\(559\) 15.7649i 0.666782i
\(560\) −4.33310 0.543278i −0.183107 0.0229577i
\(561\) 0.320811 0.441558i 0.0135446 0.0186426i
\(562\) 2.17904 + 4.27660i 0.0919171 + 0.180397i
\(563\) −4.58638 4.58638i −0.193293 0.193293i 0.603824 0.797117i \(-0.293643\pi\)
−0.797117 + 0.603824i \(0.793643\pi\)
\(564\) −0.0869788 −0.00366247
\(565\) 18.1121 + 32.8728i 0.761981 + 1.38297i
\(566\) −1.32276 4.07104i −0.0555997 0.171118i
\(567\) 15.6425 + 7.97026i 0.656924 + 0.334720i
\(568\) −1.52794 0.242003i −0.0641111 0.0101542i
\(569\) −1.71123 + 5.26663i −0.0717386 + 0.220789i −0.980497 0.196534i \(-0.937031\pi\)
0.908758 + 0.417322i \(0.137031\pi\)
\(570\) 0.0899652 + 0.115759i 0.00376823 + 0.00484859i
\(571\) −18.1616 + 24.9974i −0.760041 + 1.04611i 0.237170 + 0.971468i \(0.423780\pi\)
−0.997211 + 0.0746385i \(0.976220\pi\)
\(572\) −15.2636 7.77720i −0.638204 0.325181i
\(573\) −0.805141 + 0.127522i −0.0336352 + 0.00532730i
\(574\) 5.82345 8.01529i 0.243066 0.334552i
\(575\) 0.203181 + 0.0874728i 0.00847322 + 0.00364787i
\(576\) 2.42609 + 1.76266i 0.101087 + 0.0734440i
\(577\) 4.34118 27.4091i 0.180726 1.14106i −0.715879 0.698224i \(-0.753974\pi\)
0.896605 0.442832i \(-0.146026\pi\)
\(578\) 8.22425 4.19047i 0.342084 0.174300i
\(579\) −0.726470 + 0.527811i −0.0301911 + 0.0219351i
\(580\) −7.05603 19.5415i −0.292986 0.811415i
\(581\) 6.05470 1.96729i 0.251191 0.0816170i
\(582\) 0.371217 0.189145i 0.0153875 0.00784030i
\(583\) −49.4520 49.4520i −2.04809 2.04809i
\(584\) −7.91177 −0.327391
\(585\) −9.77167 17.7352i −0.404009 0.733262i
\(586\) −2.99923 2.17907i −0.123897 0.0900166i
\(587\) 3.23281 + 0.512027i 0.133432 + 0.0211336i 0.222793 0.974866i \(-0.428482\pi\)
−0.0893610 + 0.995999i \(0.528482\pi\)
\(588\) 0.0777549 0.0777549i 0.00320656 0.00320656i
\(589\) 8.46912 + 6.33482i 0.348964 + 0.261022i
\(590\) 4.28374 4.57028i 0.176359 0.188156i
\(591\) −0.141191 + 0.102582i −0.00580784 + 0.00421964i
\(592\) 0.576001 + 3.63673i 0.0236735 + 0.149469i
\(593\) −3.39823 + 1.73148i −0.139549 + 0.0711036i −0.522371 0.852719i \(-0.674952\pi\)
0.382822 + 0.923822i \(0.374952\pi\)
\(594\) 1.17461i 0.0481948i
\(595\) −0.393744 12.1664i −0.0161419 0.498773i
\(596\) 5.56259 17.1199i 0.227853 0.701259i
\(597\) 0.105961 + 0.0539898i 0.00433669 + 0.00220965i
\(598\) −0.0606530 + 0.119038i −0.00248029 + 0.00486784i
\(599\) −19.1192 26.3153i −0.781190 1.07522i −0.995150 0.0983730i \(-0.968636\pi\)
0.213960 0.976842i \(-0.431364\pi\)
\(600\) −0.0426061 + 0.167239i −0.00173939 + 0.00682751i
\(601\) −0.678554 0.933950i −0.0276788 0.0380966i 0.794953 0.606671i \(-0.207495\pi\)
−0.822632 + 0.568574i \(0.807495\pi\)
\(602\) 1.59497 + 10.0702i 0.0650061 + 0.410432i
\(603\) 14.4657 28.3905i 0.589089 1.15615i
\(604\) −1.26484 0.918962i −0.0514657 0.0373920i
\(605\) −26.5859 + 39.1988i −1.08087 + 1.59366i
\(606\) 0.0241925 0.00786063i 0.000982755 0.000319316i
\(607\) −35.8154 + 5.67260i −1.45370 + 0.230244i −0.832769 0.553620i \(-0.813246\pi\)
−0.620933 + 0.783864i \(0.713246\pi\)
\(608\) −1.87615 0.297154i −0.0760881 0.0120512i
\(609\) −0.595682 0.193549i −0.0241382 0.00784299i
\(610\) 1.82204 14.5323i 0.0737721 0.588395i
\(611\) −7.23716 + 2.35149i −0.292784 + 0.0951313i
\(612\) −3.79488 + 7.44787i −0.153399 + 0.301062i
\(613\) −15.7653 30.9411i −0.636753 1.24970i −0.953558 0.301208i \(-0.902610\pi\)
0.316805 0.948491i \(-0.397390\pi\)
\(614\) 16.7847i 0.677376i
\(615\) −0.285666 0.267755i −0.0115192 0.0107969i
\(616\) −10.5369 3.42365i −0.424544 0.137943i
\(617\) 22.6571 3.58854i 0.912141 0.144469i 0.317312 0.948321i \(-0.397220\pi\)
0.594829 + 0.803852i \(0.297220\pi\)
\(618\) 0.0469696 0.296554i 0.00188939 0.0119292i
\(619\) 5.60182 0.225156 0.112578 0.993643i \(-0.464089\pi\)
0.112578 + 0.993643i \(0.464089\pi\)
\(620\) 0.229772 + 12.4478i 0.00922786 + 0.499915i
\(621\) −0.00916057 −0.000367601
\(622\) −4.46686 + 28.2027i −0.179105 + 1.13082i
\(623\) 28.0737 4.44643i 1.12475 0.178143i
\(624\) −0.0991289 0.0322089i −0.00396833 0.00128939i
\(625\) 24.7910 3.22618i 0.991638 0.129047i
\(626\) 5.81268i 0.232321i
\(627\) 0.168859 + 0.331404i 0.00674357 + 0.0132350i
\(628\) −1.40940 + 2.76611i −0.0562413 + 0.110380i
\(629\) −9.76112 + 3.17158i −0.389201 + 0.126459i
\(630\) −8.03624 10.3403i −0.320172 0.411966i
\(631\) 25.9756 + 8.43999i 1.03407 + 0.335991i 0.776399 0.630241i \(-0.217044\pi\)
0.257674 + 0.966232i \(0.417044\pi\)
\(632\) 2.03475 + 0.322272i 0.0809379 + 0.0128193i
\(633\) 0.186927 0.0296063i 0.00742967 0.00117674i
\(634\) −7.31944 + 2.37823i −0.290692 + 0.0944515i
\(635\) 30.7664 5.89886i 1.22093 0.234089i
\(636\) −0.344250 0.250112i −0.0136504 0.00991759i
\(637\) 4.36755 8.57180i 0.173049 0.339627i
\(638\) −8.24559 52.0606i −0.326446 2.06110i
\(639\) −2.72681 3.75313i −0.107871 0.148472i
\(640\) −1.07907 1.95847i −0.0426539 0.0774154i
\(641\) 23.4107 + 32.2221i 0.924667 + 1.27270i 0.961904 + 0.273389i \(0.0881445\pi\)
−0.0372366 + 0.999306i \(0.511856\pi\)
\(642\) −0.101412 + 0.199032i −0.00400241 + 0.00785517i
\(643\) −32.3484 16.4824i −1.27570 0.650001i −0.320860 0.947127i \(-0.603972\pi\)
−0.954838 + 0.297126i \(0.903972\pi\)
\(644\) −0.0267004 + 0.0821755i −0.00105214 + 0.00323817i
\(645\) 0.402716 0.0130332i 0.0158569 0.000513183i
\(646\) 5.29482i 0.208322i
\(647\) −10.9972 + 5.60337i −0.432346 + 0.220291i −0.656599 0.754240i \(-0.728006\pi\)
0.224253 + 0.974531i \(0.428006\pi\)
\(648\) 1.40623 + 8.87861i 0.0552421 + 0.348785i
\(649\) 12.8567 9.34097i 0.504671 0.366665i
\(650\) 0.976269 + 15.0672i 0.0382924 + 0.590983i
\(651\) 0.300548 + 0.224807i 0.0117794 + 0.00881088i
\(652\) 16.7926 16.7926i 0.657650 0.657650i
\(653\) −20.0699 3.17876i −0.785396 0.124395i −0.249160 0.968462i \(-0.580154\pi\)
−0.536237 + 0.844068i \(0.680154\pi\)
\(654\) −0.0441473 0.0320749i −0.00172630 0.00125423i
\(655\) 46.5168 + 13.4672i 1.81756 + 0.526206i
\(656\) 5.07295 0.198065
\(657\) −16.7767 16.7767i −0.654523 0.654523i
\(658\) −4.38503 + 2.23428i −0.170946 + 0.0871015i
\(659\) −10.9403 + 3.55473i −0.426175 + 0.138473i −0.514248 0.857641i \(-0.671929\pi\)
0.0880735 + 0.996114i \(0.471929\pi\)
\(660\) −0.186051 + 0.396342i −0.00724204 + 0.0154276i
\(661\) −4.65235 + 3.38013i −0.180956 + 0.131472i −0.674576 0.738206i \(-0.735673\pi\)
0.493620 + 0.869678i \(0.335673\pi\)
\(662\) −31.4820 + 16.0409i −1.22358 + 0.623446i
\(663\) 0.0454495 0.286957i 0.00176511 0.0111445i
\(664\) 2.63720 + 1.91604i 0.102343 + 0.0743567i
\(665\) 7.50916 + 3.52496i 0.291193 + 0.136692i
\(666\) −6.49021 + 8.93300i −0.251490 + 0.346147i
\(667\) −0.406012 + 0.0643060i −0.0157208 + 0.00248994i
\(668\) −17.5120 8.92283i −0.677561 0.345235i
\(669\) 0.537859 0.740300i 0.0207948 0.0286216i
\(670\) −18.7597 + 14.5796i −0.724750 + 0.563261i
\(671\) 11.4822 35.3385i 0.443264 1.36423i
\(672\) −0.0665800 0.0105452i −0.00256838 0.000406791i
\(673\) 3.30924 + 1.68614i 0.127562 + 0.0649960i 0.516607 0.856223i \(-0.327195\pi\)
−0.389045 + 0.921219i \(0.627195\pi\)
\(674\) −1.40747 4.33174i −0.0542136 0.166852i
\(675\) −0.890121 + 0.528668i −0.0342608 + 0.0203484i
\(676\) 3.88110 0.149273
\(677\) −27.2168 27.2168i −1.04603 1.04603i −0.998888 0.0471380i \(-0.984990\pi\)
−0.0471380 0.998888i \(-0.515010\pi\)
\(678\) 0.263020 + 0.516206i 0.0101012 + 0.0198248i
\(679\) 13.8562 19.0714i 0.531752 0.731894i
\(680\) 4.92135 3.82477i 0.188725 0.146673i
\(681\) 0.743538i 0.0284924i
\(682\) −5.37404 + 31.1249i −0.205783 + 1.19183i
\(683\) −25.6664 25.6664i −0.982096 0.982096i 0.0177469 0.999843i \(-0.494351\pi\)
−0.999843 + 0.0177469i \(0.994351\pi\)
\(684\) −3.34824 4.60845i −0.128023 0.176209i
\(685\) −13.8655 + 2.65844i −0.529774 + 0.101574i
\(686\) 6.14722 18.9192i 0.234702 0.722339i
\(687\) 0.530301 0.530301i 0.0202323 0.0202323i
\(688\) −3.69151 + 3.69151i −0.140737 + 0.140737i
\(689\) −35.4055 11.5039i −1.34884 0.438265i
\(690\) 0.00309100 + 0.00145098i 0.000117672 + 5.52379e-5i
\(691\) 11.7796 + 36.2539i 0.448117 + 1.37916i 0.879029 + 0.476769i \(0.158192\pi\)
−0.430912 + 0.902394i \(0.641808\pi\)
\(692\) −2.75716 + 17.4080i −0.104811 + 0.661753i
\(693\) −15.0835 29.6030i −0.572975 1.12453i
\(694\) 19.4595 14.1381i 0.738672 0.536677i
\(695\) −6.40341 + 9.44133i −0.242895 + 0.358130i
\(696\) −0.0991036 0.305009i −0.00375651 0.0115614i
\(697\) 2.21205 + 13.9663i 0.0837874 + 0.529013i
\(698\) −0.580160 3.66299i −0.0219594 0.138646i
\(699\) 0.0829846 + 0.255400i 0.00313877 + 0.00966013i
\(700\) 2.14800 + 9.52580i 0.0811868 + 0.360041i
\(701\) −4.31349 + 3.13393i −0.162918 + 0.118367i −0.666257 0.745722i \(-0.732105\pi\)
0.503339 + 0.864089i \(0.332105\pi\)
\(702\) −0.283861 0.557109i −0.0107136 0.0210267i
\(703\) 1.09414 6.90811i 0.0412662 0.260544i
\(704\) −1.75302 5.39525i −0.0660696 0.203341i
\(705\) 0.0660526 + 0.182931i 0.00248768 + 0.00688956i
\(706\) 15.7751 + 5.12564i 0.593703 + 0.192906i
\(707\) 1.01774 1.01774i 0.0382762 0.0382762i
\(708\) 0.0683716 0.0683716i 0.00256956 0.00256956i
\(709\) 0.0256596 0.0789722i 0.000963667 0.00296586i −0.950574 0.310500i \(-0.899504\pi\)
0.951537 + 0.307534i \(0.0995037\pi\)
\(710\) 0.651366 + 3.39730i 0.0244453 + 0.127498i
\(711\) 3.63127 + 4.99801i 0.136183 + 0.187440i
\(712\) 10.2911 + 10.2911i 0.385676 + 0.385676i
\(713\) 0.242737 + 0.0419112i 0.00909059 + 0.00156959i
\(714\) 0.187900i 0.00703197i
\(715\) −4.76538 + 38.0080i −0.178215 + 1.42142i
\(716\) −7.83912 + 10.7896i −0.292961 + 0.403227i
\(717\) −0.179389 0.352071i −0.00669940 0.0131483i
\(718\) 20.3325 + 20.3325i 0.758803 + 0.758803i
\(719\) 42.7233 1.59331 0.796655 0.604435i \(-0.206601\pi\)
0.796655 + 0.604435i \(0.206601\pi\)
\(720\) 1.86476 6.44104i 0.0694954 0.240043i
\(721\) −5.24983 16.1573i −0.195514 0.601730i
\(722\) −13.7141 6.98771i −0.510388 0.260055i
\(723\) 0.415190 + 0.0657596i 0.0154411 + 0.00244563i
\(724\) −4.17471 + 12.8484i −0.155152 + 0.477508i
\(725\) −35.7405 + 29.6800i −1.32737 + 1.10229i
\(726\) −0.429739 + 0.591486i −0.0159491 + 0.0219521i
\(727\) 26.1859 + 13.3424i 0.971180 + 0.494841i 0.866235 0.499637i \(-0.166533\pi\)
0.104945 + 0.994478i \(0.466533\pi\)
\(728\) −5.82495 + 0.922581i −0.215887 + 0.0341931i
\(729\) −15.8324 + 21.7914i −0.586385 + 0.807090i
\(730\) 6.00828 + 16.6397i 0.222376 + 0.615864i
\(731\) −11.7728 8.55342i −0.435432 0.316360i
\(732\) 0.0353664 0.223295i 0.00130718 0.00825321i
\(733\) −25.9516 + 13.2230i −0.958544 + 0.488403i −0.861990 0.506925i \(-0.830782\pi\)
−0.0965539 + 0.995328i \(0.530782\pi\)
\(734\) −13.3404 + 9.69237i −0.492403 + 0.357752i
\(735\) −0.222579 0.104483i −0.00820995 0.00385393i
\(736\) −0.0420766 + 0.0136715i −0.00155097 + 0.000503939i
\(737\) −53.7069 + 27.3650i −1.97832 + 1.00800i
\(738\) 10.7571 + 10.7571i 0.395973 + 0.395973i
\(739\) 16.6028 0.610745 0.305373 0.952233i \(-0.401219\pi\)
0.305373 + 0.952233i \(0.401219\pi\)
\(740\) 7.21121 3.97319i 0.265089 0.146058i
\(741\) 0.160177 + 0.116375i 0.00588425 + 0.00427516i
\(742\) −23.7801 3.76640i −0.872996 0.138269i
\(743\) −24.9154 + 24.9154i −0.914056 + 0.914056i −0.996588 0.0825327i \(-0.973699\pi\)
0.0825327 + 0.996588i \(0.473699\pi\)
\(744\) −0.00267028 + 0.192159i −9.78971e−5 + 0.00704491i
\(745\) −40.2303 + 1.30198i −1.47392 + 0.0477010i
\(746\) 19.3784 14.0792i 0.709492 0.515476i
\(747\) 1.52921 + 9.65504i 0.0559508 + 0.353259i
\(748\) 14.0893 7.17884i 0.515155 0.262485i
\(749\) 12.6392i 0.461827i
\(750\) 0.384087 0.0373954i 0.0140249 0.00136549i
\(751\) 13.1028 40.3263i 0.478128 1.47153i −0.363564 0.931569i \(-0.618440\pi\)
0.841692 0.539958i \(-0.181560\pi\)
\(752\) −2.24528 1.14403i −0.0818771 0.0417185i
\(753\) 0.219935 0.431647i 0.00801489 0.0157301i
\(754\) −16.4920 22.6993i −0.600604 0.826660i
\(755\) −0.972192 + 3.35804i −0.0353817 + 0.122212i
\(756\) −0.237688 0.327150i −0.00864464 0.0118983i
\(757\) −1.49414 9.43363i −0.0543055 0.342871i −0.999849 0.0173757i \(-0.994469\pi\)
0.945544 0.325496i \(-0.105531\pi\)
\(758\) 7.88592 15.4770i 0.286429 0.562149i
\(759\) 0.00700843 + 0.00509192i 0.000254390 + 0.000184825i
\(760\) 0.799808 + 4.17152i 0.0290121 + 0.151317i
\(761\) 42.2928 13.7418i 1.53311 0.498138i 0.583646 0.812008i \(-0.301625\pi\)
0.949466 + 0.313869i \(0.101625\pi\)
\(762\) 0.477610 0.0756460i 0.0173020 0.00274037i
\(763\) −3.04962 0.483012i −0.110403 0.0174862i
\(764\) −22.4613 7.29813i −0.812622 0.264037i
\(765\) 18.5460 + 2.32526i 0.670530 + 0.0840700i
\(766\) 25.7439 8.36471i 0.930167 0.302229i
\(767\) 3.84048 7.53737i 0.138672 0.272159i
\(768\) −0.0156700 0.0307541i −0.000565443 0.00110974i
\(769\) 14.3245i 0.516554i −0.966071 0.258277i \(-0.916845\pi\)
0.966071 0.258277i \(-0.0831547\pi\)
\(770\) 0.801341 + 24.7608i 0.0288783 + 0.892316i
\(771\) 0.183015 + 0.0594650i 0.00659111 + 0.00214158i
\(772\) −25.6955 + 4.06977i −0.924801 + 0.146474i
\(773\) 1.97695 12.4820i 0.0711059 0.448945i −0.926289 0.376813i \(-0.877020\pi\)
0.997395 0.0721317i \(-0.0229802\pi\)
\(774\) −15.6555 −0.562726
\(775\) 26.0052 9.93622i 0.934135 0.356919i
\(776\) 12.0705 0.433305
\(777\) 0.0388282 0.245152i 0.00139295 0.00879477i
\(778\) 10.5181 1.66590i 0.377092 0.0597256i
\(779\) −9.16464 2.97777i −0.328357 0.106690i
\(780\) 0.00753884 + 0.232944i 0.000269934 + 0.00834073i
\(781\) 8.77593i 0.314027i
\(782\) −0.0559866 0.109880i −0.00200207 0.00392929i
\(783\) 0.873411 1.71417i 0.0312132 0.0612593i
\(784\) 3.02989 0.984470i 0.108210 0.0351596i
\(785\) 6.88789 + 0.863593i 0.245839 + 0.0308230i
\(786\) 0.710939 + 0.230998i 0.0253583 + 0.00823943i
\(787\) −17.0852 2.70603i −0.609021 0.0964595i −0.155696 0.987805i \(-0.549762\pi\)
−0.453325 + 0.891346i \(0.649762\pi\)
\(788\) −4.99399 + 0.790970i −0.177904 + 0.0281772i
\(789\) 0.667075 0.216746i 0.0237485 0.00771635i
\(790\) −0.867417 4.52414i −0.0308613 0.160962i
\(791\) 26.5203 + 19.2681i 0.942953 + 0.685095i
\(792\) 7.72327 15.1578i 0.274434 0.538608i
\(793\) −3.09414 19.5356i −0.109876 0.693730i
\(794\) 18.4017 + 25.3278i 0.653052 + 0.898848i
\(795\) −0.264600 + 0.913951i −0.00938439 + 0.0324145i
\(796\) 2.02517 + 2.78740i 0.0717801 + 0.0987969i
\(797\) −16.1881 + 31.7709i −0.573411 + 1.12538i 0.404143 + 0.914696i \(0.367570\pi\)
−0.977554 + 0.210686i \(0.932430\pi\)
\(798\) 0.114092 + 0.0581325i 0.00403880 + 0.00205787i
\(799\) 2.17058 6.68035i 0.0767895 0.236334i
\(800\) −3.29953 + 3.75674i −0.116656 + 0.132821i
\(801\) 43.6442i 1.54209i
\(802\) 23.1666 11.8040i 0.818040 0.416812i
\(803\) 7.02120 + 44.3301i 0.247773 + 1.56438i
\(804\) −0.296705 + 0.215568i −0.0104640 + 0.00760251i
\(805\) 0.193105 0.00624952i 0.00680606 0.000220267i
\(806\) 4.97290 + 16.0610i 0.175163 + 0.565725i
\(807\) 0.379658 0.379658i 0.0133646 0.0133646i
\(808\) 0.727901 + 0.115288i 0.0256075 + 0.00405582i
\(809\) 15.4769 + 11.2446i 0.544138 + 0.395339i 0.825620 0.564227i \(-0.190826\pi\)
−0.281482 + 0.959567i \(0.590826\pi\)
\(810\) 17.6053 9.70004i 0.618585 0.340825i
\(811\) −39.0122 −1.36990 −0.684952 0.728589i \(-0.740177\pi\)
−0.684952 + 0.728589i \(0.740177\pi\)
\(812\) −12.8313 12.8313i −0.450290 0.450290i
\(813\) 0.476265 0.242669i 0.0167034 0.00851078i
\(814\) 19.8657 6.45474i 0.696291 0.226239i
\(815\) −48.0701 22.5652i −1.68382 0.790423i
\(816\) 0.0778364 0.0565515i 0.00272482 0.00197970i
\(817\) 8.83585 4.50209i 0.309127 0.157508i
\(818\) 0.0982336 0.620223i 0.00343466 0.0216856i
\(819\) −14.3080 10.3954i −0.499962 0.363243i
\(820\) −3.85245 10.6692i −0.134533 0.372586i
\(821\) −12.2496 + 16.8601i −0.427513 + 0.588421i −0.967380 0.253329i \(-0.918474\pi\)
0.539868 + 0.841750i \(0.318474\pi\)
\(822\) −0.215245 + 0.0340914i −0.00750753 + 0.00118908i
\(823\) 3.71205 + 1.89138i 0.129394 + 0.0659294i 0.517489 0.855690i \(-0.326867\pi\)
−0.388095 + 0.921619i \(0.626867\pi\)
\(824\) 5.11305 7.03751i 0.178122 0.245163i
\(825\) 0.974861 + 0.0903104i 0.0339403 + 0.00314420i
\(826\) 1.69064 5.20326i 0.0588249 0.181044i
\(827\) 39.2796 + 6.22128i 1.36589 + 0.216335i 0.795954 0.605357i \(-0.206970\pi\)
0.569932 + 0.821692i \(0.306970\pi\)
\(828\) −0.118213 0.0602324i −0.00410818 0.00209322i
\(829\) −1.47597 4.54258i −0.0512626 0.157770i 0.922148 0.386837i \(-0.126432\pi\)
−0.973411 + 0.229067i \(0.926432\pi\)
\(830\) 2.02702 7.00152i 0.0703590 0.243026i
\(831\) 0.312821 0.0108516
\(832\) −2.13529 2.13529i −0.0740277 0.0740277i
\(833\) 4.03152 + 7.91231i 0.139684 + 0.274145i
\(834\) −0.103506 + 0.142464i −0.00358412 + 0.00493312i
\(835\) −5.46735 + 43.6068i −0.189205 + 1.50907i
\(836\) 10.7759i 0.372693i
\(837\) −0.826428 + 0.803775i −0.0285655 + 0.0277825i
\(838\) −9.28366 9.28366i −0.320699 0.320699i
\(839\) −12.2154 16.8131i −0.421722 0.580451i 0.544306 0.838887i \(-0.316793\pi\)
−0.966028 + 0.258436i \(0.916793\pi\)
\(840\) 0.0283832 + 0.148037i 0.000979313 + 0.00510775i
\(841\) 17.7163 54.5253i 0.610908 1.88018i
\(842\) 18.3721 18.3721i 0.633146 0.633146i
\(843\) 0.117145 0.117145i 0.00403470 0.00403470i
\(844\) 5.21477 + 1.69438i 0.179500 + 0.0583230i
\(845\) −2.94735 8.16260i −0.101392 0.280802i
\(846\) −2.33519 7.18697i −0.0802854 0.247093i
\(847\) −6.47139 + 40.8587i −0.222359 + 1.40392i
\(848\) −5.59680 10.9843i −0.192195 0.377204i
\(849\) −0.119531 + 0.0868440i −0.00410228 + 0.00298048i
\(850\) −11.7814 7.44583i −0.404100 0.255390i
\(851\) −0.0503394 0.154929i −0.00172561 0.00531089i
\(852\) 0.00835301 + 0.0527388i 0.000286169 + 0.00180680i
\(853\) −6.04464 38.1643i −0.206964 1.30672i −0.844190 0.536044i \(-0.819918\pi\)
0.637225 0.770677i \(-0.280082\pi\)
\(854\) −3.95293 12.1659i −0.135267 0.416308i
\(855\) −7.14964 + 10.5416i −0.244513 + 0.360515i
\(856\) −5.23573 + 3.80398i −0.178953 + 0.130017i
\(857\) 8.59517 + 16.8690i 0.293605 + 0.576233i 0.989941 0.141484i \(-0.0451873\pi\)
−0.696335 + 0.717717i \(0.745187\pi\)
\(858\) −0.0924979 + 0.584009i −0.00315783 + 0.0199377i
\(859\) 8.68131 + 26.7183i 0.296202 + 0.911617i 0.982815 + 0.184594i \(0.0590969\pi\)
−0.686612 + 0.727024i \(0.740903\pi\)
\(860\) 10.5672 + 4.96048i 0.360339 + 0.169151i
\(861\) −0.325230 0.105674i −0.0110838 0.00360135i
\(862\) 2.10367 2.10367i 0.0716514 0.0716514i
\(863\) −1.67208 + 1.67208i −0.0569184 + 0.0569184i −0.734993 0.678075i \(-0.762815\pi\)
0.678075 + 0.734993i \(0.262815\pi\)
\(864\) 0.0639838 0.196922i 0.00217677 0.00669942i
\(865\) 38.7057 7.42106i 1.31603 0.252324i
\(866\) −6.72468 9.25573i −0.228514 0.314523i
\(867\) −0.225280 0.225280i −0.00765092 0.00765092i
\(868\) 4.80151 + 9.75630i 0.162974 + 0.331150i
\(869\) 11.6868i 0.396448i
\(870\) −0.566224 + 0.440058i −0.0191968 + 0.0149194i
\(871\) −18.8596 + 25.9581i −0.639035 + 0.879556i
\(872\) −0.717746 1.40866i −0.0243059 0.0477031i
\(873\) 25.5952 + 25.5952i 0.866266 + 0.866266i
\(874\) 0.0840395 0.00284268
\(875\) 18.4031 11.7516i 0.622138 0.397276i
\(876\) 0.0843876 + 0.259718i 0.00285119 + 0.00877507i
\(877\) −24.9760 12.7259i −0.843378 0.429723i −0.0217615 0.999763i \(-0.506927\pi\)
−0.821616 + 0.570041i \(0.806927\pi\)
\(878\) 11.9630 + 1.89475i 0.403731 + 0.0639447i
\(879\) −0.0395419 + 0.121698i −0.00133372 + 0.00410476i
\(880\) −10.0158 + 7.78411i −0.337634 + 0.262402i
\(881\) −17.3543 + 23.8862i −0.584683 + 0.804747i −0.994199 0.107556i \(-0.965697\pi\)
0.409516 + 0.912303i \(0.365697\pi\)
\(882\) 8.51235 + 4.33726i 0.286626 + 0.146043i
\(883\) −4.95696 + 0.785105i −0.166815 + 0.0264209i −0.239283 0.970950i \(-0.576912\pi\)
0.0724682 + 0.997371i \(0.476912\pi\)
\(884\) 4.94757 6.80975i 0.166405 0.229037i
\(885\) −0.195719 0.0918745i −0.00657901 0.00308833i
\(886\) 8.77873 + 6.37812i 0.294927 + 0.214277i
\(887\) 6.33016 39.9671i 0.212546 1.34196i −0.618512 0.785776i \(-0.712264\pi\)
0.831057 0.556187i \(-0.187736\pi\)
\(888\) 0.113239 0.0576980i 0.00380004 0.00193622i
\(889\) 22.1355 16.0824i 0.742402 0.539386i
\(890\) 13.8287 29.4591i 0.463540 0.987472i
\(891\) 48.4994 15.7584i 1.62479 0.527927i
\(892\) 23.6215 12.0358i 0.790907 0.402987i
\(893\) 3.38473 + 3.38473i 0.113266 + 0.113266i
\(894\) −0.621324 −0.0207802
\(895\) 28.6454 + 8.29320i 0.957511 + 0.277211i
\(896\) −1.58001 1.14794i −0.0527843 0.0383500i
\(897\) 0.00455458 0.000721375i 0.000152073 2.40860e-5i
\(898\) −23.9577 + 23.9577i −0.799480 + 0.799480i
\(899\) −30.9863 + 41.4261i −1.03345 + 1.38164i
\(900\) −14.9627 + 0.969499i −0.498756 + 0.0323166i
\(901\) 27.8005 20.1983i 0.926170 0.672902i
\(902\) −4.50193 28.4240i −0.149898 0.946417i
\(903\) 0.313562 0.159768i 0.0104347 0.00531674i
\(904\) 16.7849i 0.558258i
\(905\) 30.1926 0.977134i 1.00364 0.0324810i
\(906\) −0.0166757 + 0.0513225i −0.000554013 + 0.00170508i
\(907\) 15.3588 + 7.82568i 0.509980 + 0.259848i 0.689992 0.723817i \(-0.257614\pi\)
−0.180013 + 0.983664i \(0.557614\pi\)
\(908\) 9.77973 19.1938i 0.324552 0.636969i
\(909\) 1.29903 + 1.78796i 0.0430862 + 0.0593030i
\(910\) 6.36387 + 11.5502i 0.210960 + 0.382886i
\(911\) 8.86607 + 12.2031i 0.293746 + 0.404307i 0.930226 0.366986i \(-0.119610\pi\)
−0.636480 + 0.771293i \(0.719610\pi\)
\(912\) 0.0102566 + 0.0647577i 0.000339630 + 0.00214434i
\(913\) 8.39532 16.4768i 0.277845 0.545301i
\(914\) 7.54739 + 5.48350i 0.249645 + 0.181378i
\(915\) −0.496483 + 0.0951910i −0.0164132 + 0.00314692i
\(916\) 20.6643 6.71425i 0.682769 0.221845i
\(917\) 41.7757 6.61663i 1.37956 0.218500i
\(918\) 0.570046 + 0.0902864i 0.0188143 + 0.00297990i
\(919\) −12.6128 4.09815i −0.416058 0.135185i 0.0935051 0.995619i \(-0.470193\pi\)
−0.509563 + 0.860433i \(0.670193\pi\)
\(920\) 0.0607069 + 0.0781117i 0.00200145 + 0.00257527i
\(921\) −0.550989 + 0.179027i −0.0181557 + 0.00589915i
\(922\) −14.2289 + 27.9258i −0.468604 + 0.919688i
\(923\) 2.12083 + 4.16236i 0.0698079 + 0.137006i
\(924\) 0.382410i 0.0125804i
\(925\) −13.8325 12.1491i −0.454811 0.399459i
\(926\) −16.0045 5.20016i −0.525939 0.170888i
\(927\) 25.7650 4.08078i 0.846234 0.134030i
\(928\) 1.45350 9.17707i 0.0477136 0.301252i
\(929\) 33.3045 1.09268 0.546342 0.837562i \(-0.316020\pi\)
0.546342 + 0.837562i \(0.316020\pi\)
\(930\) 0.406171 0.140312i 0.0133189 0.00460100i
\(931\) −6.05158 −0.198332
\(932\) −1.21710 + 7.68445i −0.0398673 + 0.251712i
\(933\) 0.973448 0.154179i 0.0318693 0.00504760i
\(934\) −39.0226 12.6792i −1.27686 0.414876i
\(935\) −25.7978 24.1804i −0.843679 0.790782i
\(936\) 9.05566i 0.295993i
\(937\) −16.5834 32.5468i −0.541756 1.06326i −0.985905 0.167303i \(-0.946494\pi\)
0.444149 0.895953i \(-0.353506\pi\)
\(938\) −9.42088 + 18.4895i −0.307603 + 0.603704i
\(939\) 0.190812 0.0619985i 0.00622691 0.00202324i
\(940\) −0.700989 + 5.59099i −0.0228638 + 0.182358i
\(941\) −23.7269 7.70932i −0.773473 0.251317i −0.104422 0.994533i \(-0.533299\pi\)
−0.669051 + 0.743216i \(0.733299\pi\)
\(942\) 0.105835 + 0.0167627i 0.00344830 + 0.000546158i
\(943\) −0.221674 + 0.0351097i −0.00721870 + 0.00114333i
\(944\) 2.66424 0.865665i 0.0867138 0.0281750i
\(945\) −0.507547 + 0.748338i −0.0165105 + 0.0243434i
\(946\) 23.9597 + 17.4078i 0.778998 + 0.565975i
\(947\) −21.6593 + 42.5088i −0.703834 + 1.38135i 0.210986 + 0.977489i \(0.432332\pi\)
−0.914820 + 0.403862i \(0.867668\pi\)
\(948\) −0.0111236 0.0702317i −0.000361278 0.00228102i
\(949\) 14.0431 + 19.3287i 0.455859 + 0.627436i
\(950\) 8.16601 4.85002i 0.264940 0.157355i
\(951\) 0.156139 + 0.214908i 0.00506317 + 0.00696885i
\(952\) 2.47144 4.85048i 0.0800998 0.157205i
\(953\) 15.4046 + 7.84904i 0.499004 + 0.254255i 0.685330 0.728233i \(-0.259658\pi\)
−0.186326 + 0.982488i \(0.559658\pi\)
\(954\) 11.4242 35.1600i 0.369871 1.13835i
\(955\) 1.70820 + 52.7821i 0.0552762 + 1.70799i
\(956\) 11.4479i 0.370252i
\(957\) −1.62104 + 0.825960i −0.0524007 + 0.0266995i
\(958\) −0.107950 0.681573i −0.00348772 0.0220206i
\(959\) −9.97583 + 7.24786i −0.322136 + 0.234046i
\(960\) −0.0527810 + 0.0563116i −0.00170350 + 0.00181745i
\(961\) 25.5762 17.5174i 0.825037 0.565078i
\(962\) 7.86226 7.86226i 0.253489 0.253489i
\(963\) −19.1685 3.03599i −0.617696 0.0978335i
\(964\) 9.85285 + 7.15851i 0.317339 + 0.230560i
\(965\) 28.0728 + 50.9512i 0.903696 + 1.64018i
\(966\) 0.00298235 9.59555e−5
\(967\) −16.8000 16.8000i −0.540252 0.540252i 0.383351 0.923603i \(-0.374770\pi\)
−0.923603 + 0.383351i \(0.874770\pi\)
\(968\) −18.8732 + 9.61636i −0.606606 + 0.309081i
\(969\) −0.173812 + 0.0564750i −0.00558365 + 0.00181424i
\(970\) −9.16644 25.3862i −0.294317 0.815102i
\(971\) −19.6694 + 14.2907i −0.631222 + 0.458609i −0.856823 0.515610i \(-0.827565\pi\)
0.225602 + 0.974220i \(0.427565\pi\)
\(972\) 0.829922 0.422867i 0.0266198 0.0135635i
\(973\) −1.55868 + 9.84114i −0.0499691 + 0.315492i
\(974\) −4.68443 3.40344i −0.150099 0.109053i
\(975\) 0.484194 0.192755i 0.0155066 0.00617312i
\(976\) 3.84995 5.29900i 0.123234 0.169617i
\(977\) −2.04439 + 0.323800i −0.0654059 + 0.0103593i −0.189052 0.981967i \(-0.560541\pi\)
0.123646 + 0.992326i \(0.460541\pi\)
\(978\) −0.730361 0.372137i −0.0233544 0.0118996i
\(979\) 48.5291 66.7946i 1.55100 2.13476i
\(980\) −4.37143 5.62473i −0.139640 0.179675i
\(981\) 1.46506 4.50899i 0.0467757 0.143961i
\(982\) −17.5412 2.77826i −0.559764 0.0886578i
\(983\) 9.65247 + 4.91818i 0.307866 + 0.156866i 0.601097 0.799176i \(-0.294730\pi\)
−0.293231 + 0.956042i \(0.594730\pi\)
\(984\) −0.0541085 0.166529i −0.00172492 0.00530875i
\(985\) 5.45603 + 9.90251i 0.173843 + 0.315520i
\(986\) 25.8992 0.824799
\(987\) 0.120116 + 0.120116i 0.00382332 + 0.00382332i
\(988\) 2.60415 + 5.11094i 0.0828491 + 0.162601i
\(989\) 0.135760 0.186858i 0.00431692 0.00594173i
\(990\) −37.7444 4.73233i −1.19960 0.150403i
\(991\) 18.9885i 0.603188i −0.953436 0.301594i \(-0.902481\pi\)
0.953436 0.301594i \(-0.0975187\pi\)
\(992\) −2.59640 + 4.92531i −0.0824358 + 0.156379i
\(993\) 0.862361 + 0.862361i 0.0273662 + 0.0273662i
\(994\) 1.77586 + 2.44425i 0.0563267 + 0.0775271i
\(995\) 4.32443 6.37604i 0.137094 0.202134i
\(996\) 0.0347689 0.107008i 0.00110169 0.00339066i
\(997\) 3.26083 3.26083i 0.103272 0.103272i −0.653583 0.756855i \(-0.726735\pi\)
0.756855 + 0.653583i \(0.226735\pi\)
\(998\) 13.8239 13.8239i 0.437589 0.437589i
\(999\) 0.725079 + 0.235592i 0.0229405 + 0.00745381i
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 310.2.s.a.263.13 yes 128
5.2 odd 4 inner 310.2.s.a.77.12 128
31.29 odd 10 inner 310.2.s.a.153.12 yes 128
155.122 even 20 inner 310.2.s.a.277.13 yes 128
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
310.2.s.a.77.12 128 5.2 odd 4 inner
310.2.s.a.153.12 yes 128 31.29 odd 10 inner
310.2.s.a.263.13 yes 128 1.1 even 1 trivial
310.2.s.a.277.13 yes 128 155.122 even 20 inner