Properties

Label 285.2.bf.c.269.26
Level $285$
Weight $2$
Character 285.269
Analytic conductor $2.276$
Analytic rank $0$
Dimension $192$
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] = [285,2,Mod(14,285)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(285, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 9, 7]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("285.14");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 285 = 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 285.bf (of order \(18\), degree \(6\), 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: \(2.27573645761\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(32\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 269.26
Character \(\chi\) \(=\) 285.269
Dual form 285.2.bf.c.89.26

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.964769 - 1.14977i) q^{2} +(1.72127 + 0.192980i) q^{3} +(-0.0438883 - 0.248903i) q^{4} +(2.12220 - 0.704447i) q^{5} +(1.88251 - 1.79287i) q^{6} +(-3.63963 + 2.10134i) q^{7} +(2.27114 + 1.31124i) q^{8} +(2.92552 + 0.664341i) q^{9} +O(q^{10})\) \(q+(0.964769 - 1.14977i) q^{2} +(1.72127 + 0.192980i) q^{3} +(-0.0438883 - 0.248903i) q^{4} +(2.12220 - 0.704447i) q^{5} +(1.88251 - 1.79287i) q^{6} +(-3.63963 + 2.10134i) q^{7} +(2.27114 + 1.31124i) q^{8} +(2.92552 + 0.664341i) q^{9} +(1.23749 - 3.11967i) q^{10} +(-1.49500 - 0.863138i) q^{11} +(-0.0275101 - 0.436898i) q^{12} +(-5.21347 - 1.89755i) q^{13} +(-1.09535 + 6.21203i) q^{14} +(3.78882 - 0.802998i) q^{15} +(4.17374 - 1.51912i) q^{16} +(-0.681701 - 0.572015i) q^{17} +(3.58628 - 2.72273i) q^{18} +(-4.24769 + 0.978350i) q^{19} +(-0.268479 - 0.497306i) q^{20} +(-6.67028 + 2.91459i) q^{21} +(-2.43474 + 0.886172i) q^{22} +(-1.33609 - 7.57735i) q^{23} +(3.65619 + 2.69528i) q^{24} +(4.00751 - 2.98996i) q^{25} +(-7.21153 + 4.16358i) q^{26} +(4.90739 + 1.70807i) q^{27} +(0.682766 + 0.813689i) q^{28} +(1.18770 - 0.996598i) q^{29} +(2.73208 - 5.13097i) q^{30} +(-2.32234 + 1.34080i) q^{31} +(0.486183 - 1.33578i) q^{32} +(-2.40672 - 1.77420i) q^{33} +(-1.31537 + 0.231935i) q^{34} +(-6.24375 + 7.02340i) q^{35} +(0.0369603 - 0.757326i) q^{36} +0.131361 q^{37} +(-2.97316 + 5.82773i) q^{38} +(-8.60758 - 4.27228i) q^{39} +(5.74352 + 1.18283i) q^{40} +(5.21640 - 1.89862i) q^{41} +(-3.08418 + 10.4812i) q^{42} +(4.83329 + 0.852239i) q^{43} +(-0.149225 + 0.409991i) q^{44} +(6.67654 - 0.651006i) q^{45} +(-10.0012 - 5.77420i) q^{46} +(-7.04165 + 5.90864i) q^{47} +(7.47729 - 1.80936i) q^{48} +(5.33125 - 9.23399i) q^{49} +(0.428559 - 7.49232i) q^{50} +(-1.06300 - 1.11615i) q^{51} +(-0.243495 + 1.38093i) q^{52} +(6.80485 - 1.19988i) q^{53} +(6.69838 - 3.99446i) q^{54} +(-3.78073 - 0.778608i) q^{55} -11.0214 q^{56} +(-7.50020 + 0.864282i) q^{57} -2.32706i q^{58} +(1.92545 + 1.61564i) q^{59} +(-0.366154 - 0.907807i) q^{60} +(1.43301 + 8.12701i) q^{61} +(-0.698910 + 3.96372i) q^{62} +(-12.0438 + 3.72955i) q^{63} +(3.37483 + 5.84538i) q^{64} +(-12.4008 - 0.354371i) q^{65} +(-4.36184 + 1.05548i) q^{66} +(-3.98162 + 3.34098i) q^{67} +(-0.112457 + 0.194782i) q^{68} +(-0.837491 - 13.3005i) q^{69} +(2.05149 + 13.9548i) q^{70} +(0.165181 - 0.936786i) q^{71} +(5.77314 + 5.34487i) q^{72} +(4.66010 + 12.8035i) q^{73} +(0.126733 - 0.151035i) q^{74} +(7.47499 - 4.37315i) q^{75} +(0.429938 + 1.01432i) q^{76} +7.25498 q^{77} +(-13.2165 + 5.77495i) q^{78} +(2.08784 + 5.73631i) q^{79} +(7.78740 - 6.16406i) q^{80} +(8.11730 + 3.88708i) q^{81} +(2.84966 - 7.82937i) q^{82} +(5.19192 + 8.99266i) q^{83} +(1.01820 + 1.53234i) q^{84} +(-1.84966 - 0.733711i) q^{85} +(5.64288 - 4.73494i) q^{86} +(2.23667 - 1.48621i) q^{87} +(-2.26357 - 3.92061i) q^{88} +(2.06828 + 0.752793i) q^{89} +(5.69281 - 8.30453i) q^{90} +(22.9625 - 4.04890i) q^{91} +(-1.82739 + 0.665114i) q^{92} +(-4.25612 + 1.85972i) q^{93} +13.7967i q^{94} +(-8.32526 + 5.06853i) q^{95} +(1.09463 - 2.20540i) q^{96} +(-1.38420 - 1.16148i) q^{97} +(-5.47351 - 15.0384i) q^{98} +(-3.80023 - 3.51831i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9} + 18 q^{10} + 15 q^{15} - 36 q^{16} - 48 q^{19} - 30 q^{21} - 156 q^{24} - 12 q^{25} - 24 q^{30} - 36 q^{31} + 24 q^{34} - 6 q^{36} - 6 q^{40} - 30 q^{45} + 36 q^{46} + 60 q^{49} + 24 q^{51} - 6 q^{54} - 90 q^{55} + 90 q^{60} + 12 q^{61} - 60 q^{64} + 108 q^{66} + 90 q^{69} - 18 q^{70} - 132 q^{76} - 120 q^{79} + 36 q^{81} + 198 q^{84} - 66 q^{85} - 114 q^{90} - 72 q^{91} + 144 q^{96} + 78 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/285\mathbb{Z}\right)^\times\).

\(n\) \(172\) \(191\) \(211\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{13}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.964769 1.14977i 0.682195 0.813008i −0.308194 0.951324i \(-0.599724\pi\)
0.990388 + 0.138316i \(0.0441689\pi\)
\(3\) 1.72127 + 0.192980i 0.993774 + 0.111417i
\(4\) −0.0438883 0.248903i −0.0219441 0.124451i
\(5\) 2.12220 0.704447i 0.949079 0.315038i
\(6\) 1.88251 1.79287i 0.768530 0.731938i
\(7\) −3.63963 + 2.10134i −1.37565 + 0.794231i −0.991632 0.129095i \(-0.958793\pi\)
−0.384017 + 0.923326i \(0.625460\pi\)
\(8\) 2.27114 + 1.31124i 0.802968 + 0.463594i
\(9\) 2.92552 + 0.664341i 0.975172 + 0.221447i
\(10\) 1.23749 3.11967i 0.391328 0.986526i
\(11\) −1.49500 0.863138i −0.450759 0.260246i 0.257392 0.966307i \(-0.417137\pi\)
−0.708151 + 0.706061i \(0.750470\pi\)
\(12\) −0.0275101 0.436898i −0.00794149 0.126122i
\(13\) −5.21347 1.89755i −1.44596 0.526285i −0.504498 0.863413i \(-0.668322\pi\)
−0.941459 + 0.337128i \(0.890545\pi\)
\(14\) −1.09535 + 6.21203i −0.292744 + 1.66023i
\(15\) 3.78882 0.802998i 0.978270 0.207333i
\(16\) 4.17374 1.51912i 1.04344 0.379780i
\(17\) −0.681701 0.572015i −0.165337 0.138734i 0.556365 0.830938i \(-0.312196\pi\)
−0.721702 + 0.692204i \(0.756640\pi\)
\(18\) 3.58628 2.72273i 0.845295 0.641753i
\(19\) −4.24769 + 0.978350i −0.974486 + 0.224449i
\(20\) −0.268479 0.497306i −0.0600337 0.111201i
\(21\) −6.67028 + 2.91459i −1.45557 + 0.636015i
\(22\) −2.43474 + 0.886172i −0.519088 + 0.188932i
\(23\) −1.33609 7.57735i −0.278594 1.57999i −0.727308 0.686311i \(-0.759229\pi\)
0.448714 0.893676i \(-0.351882\pi\)
\(24\) 3.65619 + 2.69528i 0.746316 + 0.550172i
\(25\) 4.00751 2.98996i 0.801502 0.597993i
\(26\) −7.21153 + 4.16358i −1.41430 + 0.816545i
\(27\) 4.90739 + 1.70807i 0.944428 + 0.328719i
\(28\) 0.682766 + 0.813689i 0.129031 + 0.153773i
\(29\) 1.18770 0.996598i 0.220550 0.185064i −0.525817 0.850597i \(-0.676240\pi\)
0.746368 + 0.665534i \(0.231796\pi\)
\(30\) 2.73208 5.13097i 0.498807 0.936783i
\(31\) −2.32234 + 1.34080i −0.417105 + 0.240816i −0.693838 0.720131i \(-0.744082\pi\)
0.276733 + 0.960947i \(0.410748\pi\)
\(32\) 0.486183 1.33578i 0.0859457 0.236134i
\(33\) −2.40672 1.77420i −0.418957 0.308848i
\(34\) −1.31537 + 0.231935i −0.225584 + 0.0397765i
\(35\) −6.24375 + 7.02340i −1.05539 + 1.18717i
\(36\) 0.0369603 0.757326i 0.00616006 0.126221i
\(37\) 0.131361 0.0215956 0.0107978 0.999942i \(-0.496563\pi\)
0.0107978 + 0.999942i \(0.496563\pi\)
\(38\) −2.97316 + 5.82773i −0.482310 + 0.945383i
\(39\) −8.60758 4.27228i −1.37832 0.684113i
\(40\) 5.74352 + 1.18283i 0.908130 + 0.187021i
\(41\) 5.21640 1.89862i 0.814665 0.296514i 0.0991158 0.995076i \(-0.468399\pi\)
0.715550 + 0.698562i \(0.246176\pi\)
\(42\) −3.08418 + 10.4812i −0.475900 + 1.61728i
\(43\) 4.83329 + 0.852239i 0.737070 + 0.129965i 0.529566 0.848269i \(-0.322355\pi\)
0.207504 + 0.978234i \(0.433466\pi\)
\(44\) −0.149225 + 0.409991i −0.0224965 + 0.0618085i
\(45\) 6.67654 0.651006i 0.995280 0.0970462i
\(46\) −10.0012 5.77420i −1.47460 0.851359i
\(47\) −7.04165 + 5.90864i −1.02713 + 0.861864i −0.990507 0.137465i \(-0.956105\pi\)
−0.0366232 + 0.999329i \(0.511660\pi\)
\(48\) 7.47729 1.80936i 1.07925 0.261158i
\(49\) 5.33125 9.23399i 0.761607 1.31914i
\(50\) 0.428559 7.49232i 0.0606073 1.05957i
\(51\) −1.06300 1.11615i −0.148850 0.156292i
\(52\) −0.243495 + 1.38093i −0.0337667 + 0.191500i
\(53\) 6.80485 1.19988i 0.934717 0.164816i 0.314510 0.949254i \(-0.398160\pi\)
0.620207 + 0.784438i \(0.287049\pi\)
\(54\) 6.69838 3.99446i 0.911535 0.543577i
\(55\) −3.78073 0.778608i −0.509794 0.104987i
\(56\) −11.0214 −1.47280
\(57\) −7.50020 + 0.864282i −0.993426 + 0.114477i
\(58\) 2.32706i 0.305559i
\(59\) 1.92545 + 1.61564i 0.250672 + 0.210339i 0.759462 0.650552i \(-0.225462\pi\)
−0.508789 + 0.860891i \(0.669907\pi\)
\(60\) −0.366154 0.907807i −0.0472702 0.117197i
\(61\) 1.43301 + 8.12701i 0.183478 + 1.04056i 0.927895 + 0.372842i \(0.121617\pi\)
−0.744417 + 0.667716i \(0.767272\pi\)
\(62\) −0.698910 + 3.96372i −0.0887617 + 0.503393i
\(63\) −12.0438 + 3.72955i −1.51738 + 0.469879i
\(64\) 3.37483 + 5.84538i 0.421854 + 0.730672i
\(65\) −12.4008 0.354371i −1.53813 0.0439543i
\(66\) −4.36184 + 1.05548i −0.536906 + 0.129921i
\(67\) −3.98162 + 3.34098i −0.486432 + 0.408165i −0.852746 0.522326i \(-0.825064\pi\)
0.366313 + 0.930492i \(0.380620\pi\)
\(68\) −0.112457 + 0.194782i −0.0136375 + 0.0236208i
\(69\) −0.837491 13.3005i −0.100822 1.60119i
\(70\) 2.05149 + 13.9548i 0.245200 + 1.66792i
\(71\) 0.165181 0.936786i 0.0196033 0.111176i −0.973436 0.228959i \(-0.926468\pi\)
0.993039 + 0.117783i \(0.0375788\pi\)
\(72\) 5.77314 + 5.34487i 0.680371 + 0.629899i
\(73\) 4.66010 + 12.8035i 0.545424 + 1.49854i 0.839825 + 0.542857i \(0.182657\pi\)
−0.294402 + 0.955682i \(0.595120\pi\)
\(74\) 0.126733 0.151035i 0.0147324 0.0175574i
\(75\) 7.47499 4.37315i 0.863138 0.504968i
\(76\) 0.429938 + 1.01432i 0.0493172 + 0.116351i
\(77\) 7.25498 0.826782
\(78\) −13.2165 + 5.77495i −1.49647 + 0.653884i
\(79\) 2.08784 + 5.73631i 0.234901 + 0.645385i 0.999999 + 0.00147107i \(0.000468257\pi\)
−0.765098 + 0.643914i \(0.777310\pi\)
\(80\) 7.78740 6.16406i 0.870658 0.689163i
\(81\) 8.11730 + 3.88708i 0.901923 + 0.431898i
\(82\) 2.84966 7.82937i 0.314692 0.864610i
\(83\) 5.19192 + 8.99266i 0.569887 + 0.987073i 0.996577 + 0.0826749i \(0.0263463\pi\)
−0.426690 + 0.904398i \(0.640320\pi\)
\(84\) 1.01820 + 1.53234i 0.111094 + 0.167192i
\(85\) −1.84966 0.733711i −0.200624 0.0795821i
\(86\) 5.64288 4.73494i 0.608488 0.510582i
\(87\) 2.23667 1.48621i 0.239796 0.159338i
\(88\) −2.26357 3.92061i −0.241297 0.417938i
\(89\) 2.06828 + 0.752793i 0.219238 + 0.0797959i 0.449304 0.893379i \(-0.351672\pi\)
−0.230066 + 0.973175i \(0.573894\pi\)
\(90\) 5.69281 8.30453i 0.600075 0.875375i
\(91\) 22.9625 4.04890i 2.40712 0.424440i
\(92\) −1.82739 + 0.665114i −0.190518 + 0.0693429i
\(93\) −4.25612 + 1.85972i −0.441339 + 0.192844i
\(94\) 13.7967i 1.42302i
\(95\) −8.32526 + 5.06853i −0.854154 + 0.520020i
\(96\) 1.09463 2.20540i 0.111720 0.225088i
\(97\) −1.38420 1.16148i −0.140544 0.117930i 0.569805 0.821780i \(-0.307019\pi\)
−0.710349 + 0.703849i \(0.751463\pi\)
\(98\) −5.47351 15.0384i −0.552908 1.51910i
\(99\) −3.80023 3.51831i −0.381937 0.353604i
\(100\) −0.920093 0.866256i −0.0920093 0.0866256i
\(101\) −2.60212 + 7.14928i −0.258921 + 0.711380i 0.740314 + 0.672262i \(0.234677\pi\)
−0.999235 + 0.0391179i \(0.987545\pi\)
\(102\) −2.30886 + 0.145382i −0.228611 + 0.0143949i
\(103\) 5.80454 10.0538i 0.571938 0.990626i −0.424429 0.905461i \(-0.639525\pi\)
0.996367 0.0851648i \(-0.0271417\pi\)
\(104\) −9.35236 11.1457i −0.917075 1.09293i
\(105\) −12.1025 + 10.8842i −1.18109 + 1.06219i
\(106\) 5.18552 8.98159i 0.503663 0.872369i
\(107\) −9.70280 + 5.60191i −0.938005 + 0.541557i −0.889334 0.457257i \(-0.848832\pi\)
−0.0486706 + 0.998815i \(0.515498\pi\)
\(108\) 0.209768 1.29643i 0.0201849 0.124749i
\(109\) −9.06462 1.59834i −0.868234 0.153093i −0.278250 0.960509i \(-0.589755\pi\)
−0.589983 + 0.807416i \(0.700866\pi\)
\(110\) −4.54275 + 3.59578i −0.433134 + 0.342844i
\(111\) 0.226107 + 0.0253501i 0.0214612 + 0.00240612i
\(112\) −11.9987 + 14.2995i −1.13377 + 1.35117i
\(113\) 3.04022i 0.286000i −0.989723 0.143000i \(-0.954325\pi\)
0.989723 0.143000i \(-0.0456748\pi\)
\(114\) −6.24224 + 9.45731i −0.584639 + 0.885759i
\(115\) −8.17330 15.1395i −0.762165 1.41176i
\(116\) −0.300182 0.251883i −0.0278712 0.0233867i
\(117\) −13.9915 9.01483i −1.29351 0.833421i
\(118\) 3.71523 0.655095i 0.342015 0.0603064i
\(119\) 3.68313 + 0.649436i 0.337632 + 0.0595337i
\(120\) 9.65786 + 3.14435i 0.881638 + 0.287038i
\(121\) −4.00999 6.94550i −0.364544 0.631409i
\(122\) 10.7267 + 6.19306i 0.971149 + 0.560693i
\(123\) 9.34522 2.26136i 0.842630 0.203900i
\(124\) 0.435654 + 0.519192i 0.0391229 + 0.0466248i
\(125\) 6.39848 9.16839i 0.572298 0.820046i
\(126\) −7.33136 + 17.4457i −0.653130 + 1.55419i
\(127\) 0.708080 + 0.257720i 0.0628319 + 0.0228690i 0.373245 0.927733i \(-0.378245\pi\)
−0.310413 + 0.950602i \(0.600467\pi\)
\(128\) 12.7766 + 2.25285i 1.12930 + 0.199126i
\(129\) 8.15491 + 2.39966i 0.718000 + 0.211278i
\(130\) −12.3713 + 13.9161i −1.08504 + 1.22052i
\(131\) 11.7728 14.0302i 1.02859 1.22583i 0.0547735 0.998499i \(-0.482556\pi\)
0.973818 0.227329i \(-0.0729992\pi\)
\(132\) −0.335975 + 0.676907i −0.0292429 + 0.0589172i
\(133\) 13.4041 12.4867i 1.16229 1.08273i
\(134\) 7.80121i 0.673922i
\(135\) 11.6177 + 0.167886i 0.999896 + 0.0144493i
\(136\) −0.798186 2.19300i −0.0684439 0.188048i
\(137\) −0.00371436 0.0210652i −0.000317339 0.00179972i 0.984649 0.174548i \(-0.0558464\pi\)
−0.984966 + 0.172748i \(0.944735\pi\)
\(138\) −16.1004 11.8690i −1.37056 1.01035i
\(139\) −16.6860 6.07320i −1.41529 0.515122i −0.482610 0.875835i \(-0.660311\pi\)
−0.932677 + 0.360713i \(0.882533\pi\)
\(140\) 2.02217 + 1.24584i 0.170905 + 0.105293i
\(141\) −13.2608 + 8.81145i −1.11676 + 0.742058i
\(142\) −0.917724 1.09370i −0.0770137 0.0917813i
\(143\) 6.15629 + 7.33678i 0.514815 + 0.613532i
\(144\) 13.2196 1.67142i 1.10163 0.139285i
\(145\) 1.81849 2.95166i 0.151017 0.245122i
\(146\) 19.2170 + 6.99441i 1.59041 + 0.578862i
\(147\) 10.9585 14.8653i 0.903840 1.22607i
\(148\) −0.00576521 0.0326961i −0.000473898 0.00268761i
\(149\) −7.53327 20.6975i −0.617150 1.69561i −0.713856 0.700292i \(-0.753053\pi\)
0.0967065 0.995313i \(-0.469169\pi\)
\(150\) 2.18353 12.8136i 0.178285 1.04622i
\(151\) 16.2709i 1.32411i −0.749456 0.662054i \(-0.769685\pi\)
0.749456 0.662054i \(-0.230315\pi\)
\(152\) −10.9299 3.34777i −0.886534 0.271540i
\(153\) −1.61432 2.12632i −0.130510 0.171903i
\(154\) 6.99938 8.34154i 0.564026 0.672180i
\(155\) −3.98396 + 4.48143i −0.319999 + 0.359957i
\(156\) −0.685611 + 2.32996i −0.0548928 + 0.186546i
\(157\) −5.40951 0.953843i −0.431726 0.0761249i −0.0464376 0.998921i \(-0.514787\pi\)
−0.385288 + 0.922796i \(0.625898\pi\)
\(158\) 8.60970 + 3.13368i 0.684951 + 0.249302i
\(159\) 11.9445 0.752109i 0.947261 0.0596461i
\(160\) 0.0907955 3.17728i 0.00717802 0.251186i
\(161\) 20.7855 + 24.7711i 1.63812 + 1.95224i
\(162\) 12.3006 5.58287i 0.966423 0.438632i
\(163\) 7.66218 + 4.42376i 0.600148 + 0.346496i 0.769100 0.639129i \(-0.220705\pi\)
−0.168952 + 0.985624i \(0.554038\pi\)
\(164\) −0.701510 1.21505i −0.0547787 0.0948795i
\(165\) −6.35739 2.06980i −0.494922 0.161134i
\(166\) 15.3485 + 2.70635i 1.19127 + 0.210053i
\(167\) −3.38890 + 0.597554i −0.262241 + 0.0462401i −0.303222 0.952920i \(-0.598063\pi\)
0.0409819 + 0.999160i \(0.486951\pi\)
\(168\) −18.9709 2.12692i −1.46363 0.164096i
\(169\) 13.6210 + 11.4294i 1.04777 + 0.879184i
\(170\) −2.62809 + 1.41882i −0.201566 + 0.108819i
\(171\) −13.0766 + 0.0402703i −0.999995 + 0.00307955i
\(172\) 1.24042i 0.0945813i
\(173\) 12.9104 15.3860i 0.981556 1.16977i −0.00392570 0.999992i \(-0.501250\pi\)
0.985482 0.169781i \(-0.0543060\pi\)
\(174\) 0.449077 4.00550i 0.0340445 0.303656i
\(175\) −8.30290 + 19.3035i −0.627640 + 1.45921i
\(176\) −7.55095 1.33144i −0.569175 0.100361i
\(177\) 3.00243 + 3.15253i 0.225676 + 0.236959i
\(178\) 2.86095 1.65177i 0.214437 0.123806i
\(179\) 3.87995 6.72027i 0.290001 0.502296i −0.683809 0.729661i \(-0.739678\pi\)
0.973810 + 0.227365i \(0.0730110\pi\)
\(180\) −0.455059 1.63324i −0.0339181 0.121734i
\(181\) −3.56951 4.25398i −0.265320 0.316196i 0.616893 0.787047i \(-0.288391\pi\)
−0.882212 + 0.470852i \(0.843947\pi\)
\(182\) 17.4982 30.3077i 1.29705 2.24656i
\(183\) 0.898243 + 14.2653i 0.0664000 + 1.05452i
\(184\) 6.90129 18.9611i 0.508770 1.39783i
\(185\) 0.278775 0.0925370i 0.0204960 0.00680345i
\(186\) −1.96793 + 6.68774i −0.144296 + 0.490369i
\(187\) 0.525414 + 1.44356i 0.0384221 + 0.105564i
\(188\) 1.77972 + 1.49337i 0.129800 + 0.108915i
\(189\) −21.4503 + 4.09534i −1.56028 + 0.297892i
\(190\) −2.20433 + 14.4621i −0.159919 + 1.04919i
\(191\) 0.0120865i 0.000874546i −1.00000 0.000437273i \(-0.999861\pi\)
1.00000 0.000437273i \(-0.000139188\pi\)
\(192\) 4.68094 + 10.7127i 0.337818 + 0.773124i
\(193\) −18.0070 + 6.55400i −1.29617 + 0.471768i −0.895748 0.444563i \(-0.853359\pi\)
−0.400423 + 0.916330i \(0.631137\pi\)
\(194\) −2.67086 + 0.470945i −0.191757 + 0.0338119i
\(195\) −21.2767 3.00307i −1.52365 0.215054i
\(196\) −2.53235 0.921699i −0.180882 0.0658356i
\(197\) 6.36963 + 11.0325i 0.453817 + 0.786035i 0.998619 0.0525299i \(-0.0167285\pi\)
−0.544802 + 0.838565i \(0.683395\pi\)
\(198\) −7.71158 + 0.975016i −0.548038 + 0.0692913i
\(199\) −11.2264 + 9.42005i −0.795817 + 0.667769i −0.947178 0.320709i \(-0.896079\pi\)
0.151361 + 0.988479i \(0.451634\pi\)
\(200\) 13.0222 1.53580i 0.920806 0.108598i
\(201\) −7.49817 + 4.98234i −0.528880 + 0.351427i
\(202\) 5.70955 + 9.88923i 0.401723 + 0.695804i
\(203\) −2.22859 + 6.12300i −0.156416 + 0.429751i
\(204\) −0.231158 + 0.313570i −0.0161843 + 0.0219543i
\(205\) 9.73280 7.70393i 0.679768 0.538066i
\(206\) −5.95944 16.3734i −0.415214 1.14079i
\(207\) 1.12518 23.0553i 0.0782057 1.60245i
\(208\) −24.6423 −1.70864
\(209\) 7.19474 + 2.20371i 0.497670 + 0.152434i
\(210\) 0.838164 + 24.4158i 0.0578388 + 1.68485i
\(211\) 4.96264 5.91424i 0.341642 0.407153i −0.567678 0.823251i \(-0.692158\pi\)
0.909320 + 0.416098i \(0.136603\pi\)
\(212\) −0.597306 1.64108i −0.0410231 0.112710i
\(213\) 0.465101 1.58058i 0.0318682 0.108300i
\(214\) −2.92006 + 16.5605i −0.199611 + 1.13205i
\(215\) 10.8576 1.59617i 0.740481 0.108858i
\(216\) 8.90566 + 10.3140i 0.605953 + 0.701782i
\(217\) 5.63497 9.76005i 0.382527 0.662556i
\(218\) −10.5830 + 8.88018i −0.716770 + 0.601442i
\(219\) 5.55045 + 22.9376i 0.375065 + 1.54998i
\(220\) −0.0278680 + 0.975206i −0.00187886 + 0.0657484i
\(221\) 2.46860 + 4.27574i 0.166056 + 0.287618i
\(222\) 0.247288 0.235514i 0.0165969 0.0158067i
\(223\) −0.544631 + 3.08876i −0.0364712 + 0.206839i −0.997598 0.0692687i \(-0.977933\pi\)
0.961127 + 0.276107i \(0.0890445\pi\)
\(224\) 1.03739 + 5.88336i 0.0693138 + 0.393098i
\(225\) 13.7104 6.08484i 0.914026 0.405656i
\(226\) −3.49554 2.93311i −0.232520 0.195107i
\(227\) 2.69859i 0.179112i 0.995982 + 0.0895558i \(0.0285447\pi\)
−0.995982 + 0.0895558i \(0.971455\pi\)
\(228\) 0.544293 + 1.82889i 0.0360467 + 0.121121i
\(229\) −12.0558 −0.796666 −0.398333 0.917241i \(-0.630411\pi\)
−0.398333 + 0.917241i \(0.630411\pi\)
\(230\) −25.2922 5.20871i −1.66772 0.343452i
\(231\) 12.4878 + 1.40007i 0.821634 + 0.0921177i
\(232\) 4.00421 0.706050i 0.262889 0.0463545i
\(233\) −0.232187 + 1.31680i −0.0152111 + 0.0862662i −0.991468 0.130348i \(-0.958390\pi\)
0.976257 + 0.216615i \(0.0695015\pi\)
\(234\) −23.8635 + 7.38971i −1.56001 + 0.483081i
\(235\) −10.7815 + 17.4998i −0.703307 + 1.14156i
\(236\) 0.317634 0.550158i 0.0206762 0.0358122i
\(237\) 2.48674 + 10.2766i 0.161531 + 0.667539i
\(238\) 4.30007 3.60819i 0.278732 0.233884i
\(239\) 8.02452 + 4.63296i 0.519063 + 0.299681i 0.736551 0.676382i \(-0.236453\pi\)
−0.217488 + 0.976063i \(0.569786\pi\)
\(240\) 14.5937 9.10718i 0.942022 0.587866i
\(241\) 3.15408 8.66576i 0.203172 0.558210i −0.795700 0.605691i \(-0.792897\pi\)
0.998872 + 0.0474803i \(0.0151191\pi\)
\(242\) −11.8544 2.09025i −0.762030 0.134367i
\(243\) 13.2219 + 8.25718i 0.848186 + 0.529698i
\(244\) 1.95994 0.713361i 0.125473 0.0456683i
\(245\) 4.80914 23.3520i 0.307245 1.49190i
\(246\) 6.41594 12.9265i 0.409065 0.824164i
\(247\) 24.0017 + 2.95959i 1.52719 + 0.188314i
\(248\) −7.03247 −0.446563
\(249\) 7.20127 + 16.4807i 0.456362 + 1.04442i
\(250\) −4.36846 16.2021i −0.276286 1.02471i
\(251\) −21.9925 + 3.87786i −1.38815 + 0.244769i −0.817266 0.576261i \(-0.804511\pi\)
−0.570886 + 0.821029i \(0.693400\pi\)
\(252\) 1.45688 + 2.83405i 0.0917746 + 0.178528i
\(253\) −4.54285 + 12.4814i −0.285606 + 0.784697i
\(254\) 0.979452 0.565487i 0.0614563 0.0354818i
\(255\) −3.04217 1.61986i −0.190508 0.101440i
\(256\) 4.57561 3.83939i 0.285976 0.239962i
\(257\) 13.4580 + 16.0386i 0.839485 + 1.00046i 0.999910 + 0.0134112i \(0.00426903\pi\)
−0.160425 + 0.987048i \(0.551287\pi\)
\(258\) 10.6267 7.06113i 0.661587 0.439607i
\(259\) −0.478105 + 0.276034i −0.0297080 + 0.0171519i
\(260\) 0.456045 + 3.10214i 0.0282827 + 0.192387i
\(261\) 4.13672 2.12653i 0.256056 0.131629i
\(262\) −4.77350 27.0719i −0.294908 1.67251i
\(263\) −18.2802 + 6.65346i −1.12721 + 0.410270i −0.837278 0.546778i \(-0.815854\pi\)
−0.289930 + 0.957048i \(0.593632\pi\)
\(264\) −3.13960 7.18524i −0.193229 0.442221i
\(265\) 13.5960 7.34004i 0.835197 0.450895i
\(266\) −1.42484 27.4584i −0.0873628 1.68358i
\(267\) 3.41479 + 1.69490i 0.208982 + 0.103726i
\(268\) 1.00633 + 0.844407i 0.0614711 + 0.0515804i
\(269\) 3.28730 1.19648i 0.200430 0.0729507i −0.239854 0.970809i \(-0.577100\pi\)
0.440285 + 0.897858i \(0.354877\pi\)
\(270\) 11.4015 13.1957i 0.693871 0.803066i
\(271\) −2.83918 + 16.1018i −0.172468 + 0.978115i 0.768558 + 0.639780i \(0.220975\pi\)
−0.941026 + 0.338335i \(0.890136\pi\)
\(272\) −3.71420 1.35186i −0.225207 0.0819685i
\(273\) 40.3059 2.53794i 2.43942 0.153603i
\(274\) −0.0278035 0.0160524i −0.00167967 0.000969760i
\(275\) −8.57197 + 1.01096i −0.516909 + 0.0609631i
\(276\) −3.27377 + 0.792189i −0.197058 + 0.0476842i
\(277\) −15.0450 8.68623i −0.903966 0.521905i −0.0254811 0.999675i \(-0.508112\pi\)
−0.878485 + 0.477770i \(0.841445\pi\)
\(278\) −23.0809 + 13.3258i −1.38430 + 0.799226i
\(279\) −7.68480 + 2.37972i −0.460077 + 0.142470i
\(280\) −23.3898 + 7.76403i −1.39781 + 0.463990i
\(281\) −3.64982 20.6992i −0.217730 1.23481i −0.876105 0.482120i \(-0.839867\pi\)
0.658375 0.752690i \(-0.271244\pi\)
\(282\) −2.66250 + 23.7478i −0.158549 + 1.41416i
\(283\) −11.9205 + 14.2063i −0.708598 + 0.844475i −0.993470 0.114091i \(-0.963605\pi\)
0.284872 + 0.958566i \(0.408049\pi\)
\(284\) −0.240418 −0.0142662
\(285\) −15.3081 + 7.11768i −0.906775 + 0.421615i
\(286\) 14.3750 0.850010
\(287\) −14.9961 + 17.8717i −0.885193 + 1.05493i
\(288\) 2.30975 3.58484i 0.136103 0.211239i
\(289\) −2.81450 15.9618i −0.165559 0.938932i
\(290\) −1.63929 4.93851i −0.0962627 0.289999i
\(291\) −2.15843 2.26634i −0.126530 0.132855i
\(292\) 2.98231 1.72184i 0.174526 0.100763i
\(293\) 9.73157 + 5.61853i 0.568525 + 0.328238i 0.756560 0.653924i \(-0.226879\pi\)
−0.188035 + 0.982162i \(0.560212\pi\)
\(294\) −6.51927 26.9413i −0.380212 1.57125i
\(295\) 5.22434 + 2.07235i 0.304173 + 0.120657i
\(296\) 0.298339 + 0.172246i 0.0173406 + 0.0100116i
\(297\) −5.86224 6.78933i −0.340162 0.393957i
\(298\) −31.0652 11.3068i −1.79956 0.654985i
\(299\) −7.41272 + 42.0396i −0.428688 + 2.43121i
\(300\) −1.41656 1.66862i −0.0817848 0.0963376i
\(301\) −19.3822 + 7.05455i −1.11717 + 0.406617i
\(302\) −18.7077 15.6977i −1.07651 0.903299i
\(303\) −5.85862 + 11.8037i −0.336569 + 0.678102i
\(304\) −16.2425 + 10.5361i −0.931573 + 0.604288i
\(305\) 8.76620 + 16.2377i 0.501951 + 0.929768i
\(306\) −4.00221 0.195323i −0.228791 0.0111659i
\(307\) 20.9350 7.61971i 1.19482 0.434880i 0.333408 0.942783i \(-0.391801\pi\)
0.861414 + 0.507903i \(0.169579\pi\)
\(308\) −0.318409 1.80579i −0.0181430 0.102894i
\(309\) 11.9313 16.1850i 0.678750 0.920735i
\(310\) 1.30900 + 8.90417i 0.0743462 + 0.505723i
\(311\) −13.2348 + 7.64109i −0.750474 + 0.433287i −0.825865 0.563867i \(-0.809313\pi\)
0.0753909 + 0.997154i \(0.475980\pi\)
\(312\) −13.9470 20.9896i −0.789594 1.18830i
\(313\) 7.19118 + 8.57011i 0.406470 + 0.484412i 0.929981 0.367607i \(-0.119823\pi\)
−0.523512 + 0.852018i \(0.675378\pi\)
\(314\) −6.31562 + 5.29944i −0.356411 + 0.299065i
\(315\) −22.9321 + 16.3991i −1.29208 + 0.923984i
\(316\) 1.33615 0.771427i 0.0751644 0.0433962i
\(317\) 8.75176 24.0453i 0.491548 1.35052i −0.407715 0.913109i \(-0.633674\pi\)
0.899263 0.437408i \(-0.144103\pi\)
\(318\) 10.6589 14.4590i 0.597723 0.810821i
\(319\) −2.63581 + 0.464765i −0.147577 + 0.0260218i
\(320\) 11.2798 + 10.0277i 0.630562 + 0.560565i
\(321\) −17.7822 + 7.76994i −0.992504 + 0.433676i
\(322\) 48.5342 2.70470
\(323\) 3.45528 + 1.76280i 0.192257 + 0.0980847i
\(324\) 0.611251 2.19102i 0.0339584 0.121723i
\(325\) −26.5666 + 7.98365i −1.47365 + 0.442853i
\(326\) 12.4785 4.54181i 0.691122 0.251548i
\(327\) −15.2942 4.50046i −0.845771 0.248876i
\(328\) 14.3367 + 2.52795i 0.791612 + 0.139583i
\(329\) 13.2129 36.3021i 0.728451 2.00140i
\(330\) −8.51320 + 5.31264i −0.468636 + 0.292451i
\(331\) 29.2788 + 16.9041i 1.60931 + 0.929136i 0.989525 + 0.144364i \(0.0461138\pi\)
0.619786 + 0.784771i \(0.287220\pi\)
\(332\) 2.01043 1.68696i 0.110337 0.0925837i
\(333\) 0.384299 + 0.0872685i 0.0210595 + 0.00478228i
\(334\) −2.58245 + 4.47294i −0.141306 + 0.244748i
\(335\) −6.09627 + 9.89508i −0.333075 + 0.540626i
\(336\) −23.4124 + 22.2977i −1.27725 + 1.21644i
\(337\) −1.77147 + 10.0465i −0.0964979 + 0.547267i 0.897780 + 0.440444i \(0.145179\pi\)
−0.994278 + 0.106823i \(0.965932\pi\)
\(338\) 26.2823 4.63427i 1.42957 0.252071i
\(339\) 0.586702 5.23303i 0.0318653 0.284219i
\(340\) −0.101444 + 0.492588i −0.00550158 + 0.0267143i
\(341\) 4.62920 0.250685
\(342\) −12.5696 + 15.0739i −0.679688 + 0.815105i
\(343\) 15.3923i 0.831105i
\(344\) 9.85957 + 8.27316i 0.531592 + 0.446059i
\(345\) −11.1468 27.6364i −0.600124 1.48789i
\(346\) −5.23476 29.6878i −0.281422 1.59603i
\(347\) 5.20184 29.5011i 0.279249 1.58370i −0.445883 0.895091i \(-0.647110\pi\)
0.725132 0.688610i \(-0.241779\pi\)
\(348\) −0.468085 0.491487i −0.0250920 0.0263465i
\(349\) −8.54495 14.8003i −0.457401 0.792241i 0.541422 0.840751i \(-0.317886\pi\)
−0.998823 + 0.0485099i \(0.984553\pi\)
\(350\) 14.1841 + 28.1698i 0.758173 + 1.50574i
\(351\) −22.3434 18.2170i −1.19260 0.972352i
\(352\) −1.87980 + 1.57734i −0.100194 + 0.0840725i
\(353\) 1.04832 1.81575i 0.0557966 0.0966426i −0.836778 0.547542i \(-0.815563\pi\)
0.892575 + 0.450900i \(0.148897\pi\)
\(354\) 6.52132 0.410628i 0.346604 0.0218246i
\(355\) −0.309369 2.10441i −0.0164196 0.111691i
\(356\) 0.0965990 0.547840i 0.00511974 0.0290355i
\(357\) 6.21433 + 1.82862i 0.328897 + 0.0967810i
\(358\) −3.98349 10.9445i −0.210534 0.578437i
\(359\) −13.0688 + 15.5748i −0.689746 + 0.822008i −0.991325 0.131433i \(-0.958042\pi\)
0.301579 + 0.953441i \(0.402486\pi\)
\(360\) 16.0170 + 7.27603i 0.844168 + 0.383481i
\(361\) 17.0857 8.31145i 0.899245 0.437445i
\(362\) −8.33483 −0.438069
\(363\) −5.56191 12.7289i −0.291925 0.668094i
\(364\) −2.01557 5.53772i −0.105644 0.290256i
\(365\) 18.9091 + 23.8889i 0.989747 + 1.25040i
\(366\) 17.2684 + 12.7299i 0.902632 + 0.665405i
\(367\) −1.65724 + 4.55323i −0.0865073 + 0.237677i −0.975402 0.220436i \(-0.929252\pi\)
0.888894 + 0.458113i \(0.151474\pi\)
\(368\) −17.0874 29.5962i −0.890742 1.54281i
\(369\) 16.5220 2.08896i 0.860101 0.108747i
\(370\) 0.162558 0.409803i 0.00845097 0.0213047i
\(371\) −22.2457 + 18.6664i −1.15494 + 0.969111i
\(372\) 0.649682 + 0.977740i 0.0336845 + 0.0506935i
\(373\) −4.88371 8.45884i −0.252869 0.437982i 0.711445 0.702741i \(-0.248041\pi\)
−0.964315 + 0.264759i \(0.914708\pi\)
\(374\) 2.16667 + 0.788602i 0.112036 + 0.0407776i
\(375\) 12.7828 14.5465i 0.660102 0.751176i
\(376\) −23.7402 + 4.18604i −1.22431 + 0.215878i
\(377\) −8.08313 + 2.94202i −0.416302 + 0.151522i
\(378\) −15.9859 + 28.6139i −0.822226 + 1.47174i
\(379\) 6.22701i 0.319860i 0.987128 + 0.159930i \(0.0511269\pi\)
−0.987128 + 0.159930i \(0.948873\pi\)
\(380\) 1.62695 + 1.84973i 0.0834609 + 0.0948893i
\(381\) 1.16906 + 0.580250i 0.0598927 + 0.0297271i
\(382\) −0.0138966 0.0116606i −0.000711013 0.000596611i
\(383\) −6.54307 17.9769i −0.334335 0.918579i −0.986970 0.160906i \(-0.948558\pi\)
0.652634 0.757673i \(-0.273664\pi\)
\(384\) 21.5571 + 6.34338i 1.10008 + 0.323709i
\(385\) 15.3966 5.11075i 0.784681 0.260468i
\(386\) −9.83700 + 27.0269i −0.500690 + 1.37563i
\(387\) 13.5737 + 5.70419i 0.689990 + 0.289960i
\(388\) −0.228346 + 0.395506i −0.0115925 + 0.0200788i
\(389\) 1.99203 + 2.37401i 0.101000 + 0.120367i 0.814177 0.580617i \(-0.197189\pi\)
−0.713177 + 0.700984i \(0.752744\pi\)
\(390\) −23.9799 + 21.5659i −1.21427 + 1.09203i
\(391\) −3.42354 + 5.92975i −0.173136 + 0.299880i
\(392\) 24.2160 13.9811i 1.22309 0.706152i
\(393\) 22.9716 21.8779i 1.15877 1.10359i
\(394\) 18.8301 + 3.32025i 0.948644 + 0.167272i
\(395\) 8.47176 + 10.7028i 0.426261 + 0.538518i
\(396\) −0.708933 + 1.10030i −0.0356252 + 0.0552922i
\(397\) 7.42664 8.85072i 0.372732 0.444205i −0.546774 0.837280i \(-0.684144\pi\)
0.919506 + 0.393075i \(0.128589\pi\)
\(398\) 21.9959i 1.10255i
\(399\) 25.4818 18.9061i 1.27568 0.946490i
\(400\) 12.1842 18.5672i 0.609210 0.928361i
\(401\) −19.5983 16.4449i −0.978691 0.821219i 0.00520024 0.999986i \(-0.498345\pi\)
−0.983891 + 0.178767i \(0.942789\pi\)
\(402\) −1.50548 + 13.4280i −0.0750864 + 0.669726i
\(403\) 14.6517 2.58349i 0.729853 0.128693i
\(404\) 1.89368 + 0.333906i 0.0942140 + 0.0166125i
\(405\) 19.9648 + 2.53097i 0.992060 + 0.125765i
\(406\) 4.88995 + 8.46964i 0.242684 + 0.420341i
\(407\) −0.196385 0.113383i −0.00973443 0.00562017i
\(408\) −0.950686 3.92877i −0.0470660 0.194503i
\(409\) 21.3550 + 25.4499i 1.05593 + 1.25841i 0.964914 + 0.262565i \(0.0845685\pi\)
0.0910206 + 0.995849i \(0.470987\pi\)
\(410\) 0.532179 18.6230i 0.0262825 0.919723i
\(411\) −0.00232824 0.0369756i −0.000114844 0.00182387i
\(412\) −2.75716 1.00352i −0.135836 0.0494401i
\(413\) −10.4029 1.83432i −0.511895 0.0902609i
\(414\) −25.4227 23.5367i −1.24946 1.15677i
\(415\) 17.3532 + 15.4268i 0.851833 + 0.757274i
\(416\) −5.06940 + 6.04147i −0.248548 + 0.296208i
\(417\) −27.5490 13.6737i −1.34908 0.669602i
\(418\) 9.47501 6.14620i 0.463438 0.300621i
\(419\) 16.0209i 0.782673i −0.920248 0.391336i \(-0.872013\pi\)
0.920248 0.391336i \(-0.127987\pi\)
\(420\) 3.24027 + 2.53466i 0.158109 + 0.123679i
\(421\) 6.02882 + 16.5640i 0.293827 + 0.807282i 0.995498 + 0.0947814i \(0.0302152\pi\)
−0.701671 + 0.712501i \(0.747563\pi\)
\(422\) −2.01220 11.4118i −0.0979524 0.555516i
\(423\) −24.5258 + 12.6078i −1.19249 + 0.613012i
\(424\) 17.0281 + 6.19771i 0.826956 + 0.300987i
\(425\) −4.44223 0.254094i −0.215480 0.0123254i
\(426\) −1.36859 2.05965i −0.0663082 0.0997905i
\(427\) −22.2932 26.5680i −1.07885 1.28572i
\(428\) 1.82017 + 2.16920i 0.0879813 + 0.104852i
\(429\) 9.18076 + 13.8166i 0.443251 + 0.667071i
\(430\) 8.63984 14.0236i 0.416650 0.676280i
\(431\) 6.63742 + 2.41582i 0.319713 + 0.116366i 0.496891 0.867813i \(-0.334475\pi\)
−0.177178 + 0.984179i \(0.556697\pi\)
\(432\) 23.0770 0.325843i 1.11029 0.0156771i
\(433\) 3.63282 + 20.6027i 0.174582 + 0.990104i 0.938625 + 0.344939i \(0.112100\pi\)
−0.764043 + 0.645165i \(0.776789\pi\)
\(434\) −5.78534 15.8951i −0.277705 0.762989i
\(435\) 3.69972 4.72966i 0.177388 0.226770i
\(436\) 2.32636i 0.111412i
\(437\) 13.0886 + 30.8790i 0.626113 + 1.47714i
\(438\) 31.7278 + 15.7477i 1.51601 + 0.752456i
\(439\) 4.24144 5.05475i 0.202433 0.241250i −0.655271 0.755394i \(-0.727446\pi\)
0.857704 + 0.514144i \(0.171890\pi\)
\(440\) −7.56561 6.72578i −0.360676 0.320639i
\(441\) 21.7312 23.4724i 1.03482 1.11774i
\(442\) 7.29774 + 1.28679i 0.347118 + 0.0612063i
\(443\) −16.2280 5.90651i −0.771015 0.280627i −0.0735943 0.997288i \(-0.523447\pi\)
−0.697421 + 0.716662i \(0.745669\pi\)
\(444\) −0.00361376 0.0573913i −0.000171501 0.00272367i
\(445\) 4.91962 + 0.140586i 0.233213 + 0.00666440i
\(446\) 3.02591 + 3.60614i 0.143281 + 0.170756i
\(447\) −8.97256 37.0797i −0.424388 1.75381i
\(448\) −24.5662 14.1833i −1.16065 0.670099i
\(449\) −4.22839 7.32379i −0.199550 0.345631i 0.748833 0.662759i \(-0.230615\pi\)
−0.948383 + 0.317128i \(0.897281\pi\)
\(450\) 6.23121 21.6342i 0.293742 1.01985i
\(451\) −9.43729 1.66405i −0.444384 0.0783570i
\(452\) −0.756719 + 0.133430i −0.0355931 + 0.00627602i
\(453\) 3.13996 28.0066i 0.147528 1.31586i
\(454\) 3.10275 + 2.60351i 0.145619 + 0.122189i
\(455\) 45.8788 24.7685i 2.15083 1.16116i
\(456\) −18.1673 7.87167i −0.850760 0.368625i
\(457\) 5.58194i 0.261112i 0.991441 + 0.130556i \(0.0416762\pi\)
−0.991441 + 0.130556i \(0.958324\pi\)
\(458\) −11.6310 + 13.8613i −0.543482 + 0.647696i
\(459\) −2.36833 3.97150i −0.110544 0.185374i
\(460\) −3.40955 + 2.69880i −0.158971 + 0.125832i
\(461\) 9.14309 + 1.61217i 0.425836 + 0.0750864i 0.382459 0.923972i \(-0.375077\pi\)
0.0433769 + 0.999059i \(0.486188\pi\)
\(462\) 13.6576 13.0073i 0.635407 0.605153i
\(463\) 4.71748 2.72364i 0.219240 0.126578i −0.386358 0.922349i \(-0.626267\pi\)
0.605598 + 0.795771i \(0.292934\pi\)
\(464\) 3.44320 5.96380i 0.159847 0.276863i
\(465\) −7.72228 + 6.94491i −0.358112 + 0.322062i
\(466\) 1.29000 + 1.53737i 0.0597582 + 0.0712171i
\(467\) −1.62526 + 2.81504i −0.0752082 + 0.130265i −0.901177 0.433452i \(-0.857295\pi\)
0.825969 + 0.563716i \(0.190629\pi\)
\(468\) −1.62975 + 3.87816i −0.0753354 + 0.179268i
\(469\) 7.47109 20.5266i 0.344983 0.947832i
\(470\) 9.71907 + 29.2795i 0.448307 + 1.35056i
\(471\) −9.12714 2.68575i −0.420556 0.123753i
\(472\) 2.25446 + 6.19408i 0.103770 + 0.285106i
\(473\) −6.49016 5.44589i −0.298418 0.250402i
\(474\) 14.2149 + 7.05539i 0.652910 + 0.324065i
\(475\) −14.0974 + 16.6212i −0.646833 + 0.762632i
\(476\) 0.945245i 0.0433252i
\(477\) 20.7048 + 1.01047i 0.948009 + 0.0462664i
\(478\) 13.0686 4.75659i 0.597745 0.217561i
\(479\) −28.0465 + 4.94535i −1.28148 + 0.225959i −0.772607 0.634885i \(-0.781048\pi\)
−0.508869 + 0.860844i \(0.669936\pi\)
\(480\) 0.769435 5.45142i 0.0351198 0.248822i
\(481\) −0.684847 0.249264i −0.0312263 0.0113655i
\(482\) −6.92064 11.9869i −0.315227 0.545989i
\(483\) 30.9970 + 46.6489i 1.41041 + 2.12260i
\(484\) −1.55276 + 1.30292i −0.0705801 + 0.0592238i
\(485\) −3.75576 1.48980i −0.170540 0.0676486i
\(486\) 22.2499 7.23585i 1.00928 0.328225i
\(487\) 9.88944 + 17.1290i 0.448133 + 0.776190i 0.998265 0.0588885i \(-0.0187556\pi\)
−0.550131 + 0.835078i \(0.685422\pi\)
\(488\) −7.40191 + 20.3366i −0.335069 + 0.920594i
\(489\) 12.3350 + 9.09312i 0.557806 + 0.411205i
\(490\) −22.2097 28.0587i −1.00333 1.26756i
\(491\) 5.48791 + 15.0779i 0.247666 + 0.680457i 0.999771 + 0.0214132i \(0.00681655\pi\)
−0.752105 + 0.659044i \(0.770961\pi\)
\(492\) −0.973005 2.22680i −0.0438664 0.100392i
\(493\) −1.37973 −0.0621397
\(494\) 26.5589 24.7410i 1.19494 1.11315i
\(495\) −10.5433 4.78952i −0.473887 0.215273i
\(496\) −7.65602 + 9.12409i −0.343765 + 0.409684i
\(497\) 1.36731 + 3.75665i 0.0613322 + 0.168509i
\(498\) 25.8965 + 7.62030i 1.16045 + 0.341474i
\(499\) 5.26842 29.8787i 0.235847 1.33756i −0.604975 0.796244i \(-0.706817\pi\)
0.840823 0.541311i \(-0.182072\pi\)
\(500\) −2.56286 1.19022i −0.114614 0.0532280i
\(501\) −5.94851 + 0.374560i −0.265760 + 0.0167341i
\(502\) −16.7590 + 29.0274i −0.747991 + 1.29556i
\(503\) 24.2643 20.3602i 1.08189 0.907816i 0.0858162 0.996311i \(-0.472650\pi\)
0.996077 + 0.0884951i \(0.0282058\pi\)
\(504\) −32.2434 7.32200i −1.43624 0.326148i
\(505\) −0.485951 + 17.0053i −0.0216246 + 0.756725i
\(506\) 9.96786 + 17.2648i 0.443126 + 0.767516i
\(507\) 21.2397 + 22.3016i 0.943290 + 0.990449i
\(508\) 0.0330708 0.187554i 0.00146728 0.00832136i
\(509\) 7.12913 + 40.4313i 0.315993 + 1.79209i 0.566595 + 0.823996i \(0.308260\pi\)
−0.250602 + 0.968090i \(0.580629\pi\)
\(510\) −4.79745 + 1.93500i −0.212435 + 0.0856832i
\(511\) −43.8656 36.8076i −1.94050 1.62827i
\(512\) 16.9823i 0.750520i
\(513\) −22.5161 2.45422i −0.994112 0.108356i
\(514\) 31.4245 1.38607
\(515\) 5.23608 25.4251i 0.230729 1.12037i
\(516\) 0.239377 2.13510i 0.0105380 0.0939925i
\(517\) 15.6272 2.75550i 0.687285 0.121187i
\(518\) −0.143886 + 0.816018i −0.00632199 + 0.0358538i
\(519\) 25.1913 23.9919i 1.10578 1.05313i
\(520\) −27.6992 17.0652i −1.21469 0.748360i
\(521\) 3.88875 6.73552i 0.170369 0.295088i −0.768180 0.640234i \(-0.778837\pi\)
0.938549 + 0.345146i \(0.112171\pi\)
\(522\) 1.54596 6.80787i 0.0676650 0.297972i
\(523\) 20.5056 17.2063i 0.896649 0.752378i −0.0728838 0.997340i \(-0.523220\pi\)
0.969532 + 0.244963i \(0.0787758\pi\)
\(524\) −4.00885 2.31451i −0.175128 0.101110i
\(525\) −18.0167 + 31.6241i −0.786313 + 1.38019i
\(526\) −9.98627 + 27.4370i −0.435422 + 1.19631i
\(527\) 2.35010 + 0.414387i 0.102372 + 0.0180510i
\(528\) −12.7403 3.74894i −0.554449 0.163152i
\(529\) −34.0182 + 12.3816i −1.47905 + 0.538331i
\(530\) 4.67769 22.7137i 0.203186 0.986620i
\(531\) 4.55960 + 6.00575i 0.197870 + 0.260627i
\(532\) −3.69625 2.78831i −0.160253 0.120889i
\(533\) −30.7983 −1.33402
\(534\) 5.24322 2.29103i 0.226896 0.0991426i
\(535\) −16.6451 + 18.7235i −0.719629 + 0.809488i
\(536\) −13.4236 + 2.36695i −0.579813 + 0.102237i
\(537\) 7.97530 10.8186i 0.344160 0.466858i
\(538\) 1.79581 4.93396i 0.0774231 0.212718i
\(539\) −15.9404 + 9.20321i −0.686603 + 0.396410i
\(540\) −0.468095 2.89906i −0.0201436 0.124756i
\(541\) −2.08036 + 1.74563i −0.0894416 + 0.0750504i −0.686412 0.727213i \(-0.740815\pi\)
0.596971 + 0.802263i \(0.296371\pi\)
\(542\) 15.7742 + 18.7989i 0.677558 + 0.807483i
\(543\) −5.32314 8.01107i −0.228438 0.343788i
\(544\) −1.09551 + 0.632496i −0.0469698 + 0.0271180i
\(545\) −20.3629 + 2.99355i −0.872252 + 0.128230i
\(546\) 35.9678 48.7909i 1.53928 2.08806i
\(547\) −3.03895 17.2347i −0.129936 0.736904i −0.978253 0.207415i \(-0.933495\pi\)
0.848317 0.529489i \(-0.177616\pi\)
\(548\) −0.00508017 + 0.00184903i −0.000217014 + 7.89866e-5i
\(549\) −1.20681 + 24.7277i −0.0515052 + 1.05535i
\(550\) −7.10760 + 10.8311i −0.303069 + 0.461840i
\(551\) −4.06995 + 5.39522i −0.173386 + 0.229844i
\(552\) 15.5381 31.3054i 0.661345 1.33244i
\(553\) −19.6529 16.4907i −0.835726 0.701257i
\(554\) −24.5021 + 8.91803i −1.04099 + 0.378891i
\(555\) 0.497704 0.105483i 0.0211264 0.00447749i
\(556\) −0.779318 + 4.41973i −0.0330504 + 0.187438i
\(557\) −24.1959 8.80659i −1.02521 0.373147i −0.225957 0.974137i \(-0.572551\pi\)
−0.799256 + 0.600990i \(0.794773\pi\)
\(558\) −4.67793 + 11.1316i −0.198033 + 0.471239i
\(559\) −23.5810 13.6145i −0.997372 0.575833i
\(560\) −15.3904 + 38.7989i −0.650365 + 1.63955i
\(561\) 0.625799 + 2.58615i 0.0264213 + 0.109187i
\(562\) −27.3205 15.7735i −1.15244 0.665364i
\(563\) 1.21692 0.702587i 0.0512869 0.0296105i −0.474137 0.880451i \(-0.657240\pi\)
0.525424 + 0.850840i \(0.323907\pi\)
\(564\) 2.77519 + 2.91393i 0.116857 + 0.122699i
\(565\) −2.14167 6.45197i −0.0901009 0.271436i
\(566\) 4.83339 + 27.4115i 0.203163 + 1.15219i
\(567\) −37.7120 + 2.90969i −1.58376 + 0.122195i
\(568\) 1.60350 1.91098i 0.0672814 0.0801828i
\(569\) −37.9732 −1.59192 −0.795959 0.605350i \(-0.793033\pi\)
−0.795959 + 0.605350i \(0.793033\pi\)
\(570\) −6.58513 + 24.4677i −0.275821 + 1.02484i
\(571\) 6.41155 0.268315 0.134157 0.990960i \(-0.457167\pi\)
0.134157 + 0.990960i \(0.457167\pi\)
\(572\) 1.55596 1.85432i 0.0650578 0.0775329i
\(573\) 0.00233245 0.0208040i 9.74394e−5 0.000869101i
\(574\) 6.08047 + 34.4841i 0.253794 + 1.43934i
\(575\) −28.0104 26.3714i −1.16811 1.09976i
\(576\) 5.98980 + 19.3428i 0.249575 + 0.805949i
\(577\) −16.6407 + 9.60753i −0.692763 + 0.399967i −0.804646 0.593755i \(-0.797645\pi\)
0.111883 + 0.993721i \(0.464312\pi\)
\(578\) −21.0677 12.1635i −0.876303 0.505934i
\(579\) −32.2596 + 7.80620i −1.34066 + 0.324415i
\(580\) −0.814486 0.323084i −0.0338197 0.0134153i
\(581\) −37.7933 21.8199i −1.56793 0.905244i
\(582\) −4.68815 + 0.295199i −0.194330 + 0.0122364i
\(583\) −11.2089 4.07971i −0.464225 0.168964i
\(584\) −6.20478 + 35.1891i −0.256756 + 1.45613i
\(585\) −36.0433 9.27506i −1.49021 0.383476i
\(586\) 15.8487 5.76846i 0.654704 0.238293i
\(587\) 31.3413 + 26.2985i 1.29359 + 1.08545i 0.991214 + 0.132267i \(0.0422257\pi\)
0.302380 + 0.953187i \(0.402219\pi\)
\(588\) −4.18097 2.07518i −0.172420 0.0855790i
\(589\) 8.55280 7.96738i 0.352412 0.328290i
\(590\) 7.42300 4.00743i 0.305600 0.164983i
\(591\) 8.83478 + 20.2191i 0.363414 + 0.831704i
\(592\) 0.548268 0.199553i 0.0225337 0.00820158i
\(593\) −6.76642 38.3743i −0.277864 1.57584i −0.729716 0.683750i \(-0.760348\pi\)
0.451853 0.892092i \(-0.350763\pi\)
\(594\) −13.4618 + 0.190079i −0.552346 + 0.00779904i
\(595\) 8.27386 1.21634i 0.339195 0.0498650i
\(596\) −4.82104 + 2.78343i −0.197478 + 0.114014i
\(597\) −21.1415 + 14.0479i −0.865263 + 0.574944i
\(598\) 41.1842 + 49.0814i 1.68415 + 2.00709i
\(599\) 30.0713 25.2328i 1.22868 1.03098i 0.230355 0.973107i \(-0.426011\pi\)
0.998324 0.0578770i \(-0.0184331\pi\)
\(600\) 22.7110 0.130510i 0.927172 0.00532806i
\(601\) 4.81191 2.77816i 0.196282 0.113324i −0.398638 0.917108i \(-0.630517\pi\)
0.594920 + 0.803785i \(0.297184\pi\)
\(602\) −10.5883 + 29.0910i −0.431545 + 1.18566i
\(603\) −13.8678 + 7.12893i −0.564743 + 0.290313i
\(604\) −4.04987 + 0.714102i −0.164787 + 0.0290564i
\(605\) −13.4027 11.9149i −0.544899 0.484411i
\(606\) 7.91923 + 18.1238i 0.321697 + 0.736231i
\(607\) −6.19006 −0.251247 −0.125623 0.992078i \(-0.540093\pi\)
−0.125623 + 0.992078i \(0.540093\pi\)
\(608\) −0.758294 + 6.14961i −0.0307529 + 0.249400i
\(609\) −5.01762 + 10.1092i −0.203324 + 0.409647i
\(610\) 27.1269 + 5.58655i 1.09834 + 0.226193i
\(611\) 47.9234 17.4427i 1.93877 0.705655i
\(612\) −0.458398 + 0.495128i −0.0185296 + 0.0200144i
\(613\) 28.2355 + 4.97868i 1.14042 + 0.201087i 0.711790 0.702392i \(-0.247885\pi\)
0.428632 + 0.903479i \(0.358996\pi\)
\(614\) 11.4365 31.4216i 0.461541 1.26807i
\(615\) 18.2395 11.3823i 0.735486 0.458978i
\(616\) 16.4771 + 9.51303i 0.663880 + 0.383291i
\(617\) −3.53599 + 2.96704i −0.142353 + 0.119449i −0.711184 0.703006i \(-0.751841\pi\)
0.568830 + 0.822455i \(0.307396\pi\)
\(618\) −7.09804 29.3331i −0.285525 1.17995i
\(619\) −12.4900 + 21.6332i −0.502014 + 0.869513i 0.497984 + 0.867186i \(0.334074\pi\)
−0.999997 + 0.00232676i \(0.999259\pi\)
\(620\) 1.29029 + 0.794936i 0.0518193 + 0.0319254i
\(621\) 6.38596 39.4672i 0.256260 1.58376i
\(622\) −3.98301 + 22.5888i −0.159704 + 0.905727i
\(623\) −9.10965 + 1.60628i −0.364970 + 0.0643541i
\(624\) −42.4160 4.75548i −1.69800 0.190371i
\(625\) 7.12024 23.9646i 0.284810 0.958584i
\(626\) 16.7915 0.671122
\(627\) 11.9588 + 5.18161i 0.477588 + 0.206933i
\(628\) 1.38830i 0.0553994i
\(629\) −0.0895490 0.0751405i −0.00357055 0.00299605i
\(630\) −3.26907 + 42.1879i −0.130243 + 1.68081i
\(631\) −0.653873 3.70830i −0.0260303 0.147625i 0.969023 0.246972i \(-0.0794356\pi\)
−0.995053 + 0.0993473i \(0.968325\pi\)
\(632\) −2.77990 + 15.7656i −0.110579 + 0.627122i
\(633\) 9.68336 9.22230i 0.384879 0.366553i
\(634\) −19.2030 33.2606i −0.762649 1.32095i
\(635\) 1.68424 + 0.0481297i 0.0668371 + 0.00190997i
\(636\) −0.711426 2.94001i −0.0282099 0.116579i
\(637\) −45.3162 + 38.0248i −1.79550 + 1.50660i
\(638\) −2.00858 + 3.47896i −0.0795204 + 0.137733i
\(639\) 1.10558 2.63085i 0.0437362 0.104075i
\(640\) 28.7015 4.21940i 1.13453 0.166786i
\(641\) 5.06497 28.7248i 0.200054 1.13456i −0.704981 0.709226i \(-0.749044\pi\)
0.905035 0.425337i \(-0.139844\pi\)
\(642\) −8.22206 + 27.9415i −0.324499 + 1.10276i
\(643\) 2.80302 + 7.70122i 0.110540 + 0.303706i 0.982612 0.185672i \(-0.0594460\pi\)
−0.872072 + 0.489378i \(0.837224\pi\)
\(644\) 5.25337 6.26072i 0.207012 0.246707i
\(645\) 18.9968 0.652137i 0.748000 0.0256779i
\(646\) 5.36035 2.27208i 0.210900 0.0893937i
\(647\) −33.7275 −1.32597 −0.662983 0.748635i \(-0.730710\pi\)
−0.662983 + 0.748635i \(0.730710\pi\)
\(648\) 13.3386 + 19.4718i 0.523990 + 0.764926i
\(649\) −1.48402 4.07732i −0.0582530 0.160049i
\(650\) −16.4513 + 38.2478i −0.645274 + 1.50020i
\(651\) 11.5828 15.7122i 0.453965 0.615810i
\(652\) 0.764807 2.10129i 0.0299521 0.0822928i
\(653\) 7.58985 + 13.1460i 0.297014 + 0.514443i 0.975451 0.220215i \(-0.0706759\pi\)
−0.678437 + 0.734658i \(0.737343\pi\)
\(654\) −19.9298 + 13.2428i −0.779318 + 0.517836i
\(655\) 15.1007 38.0683i 0.590032 1.48745i
\(656\) 18.8877 15.8487i 0.737441 0.618787i
\(657\) 5.12730 + 40.5528i 0.200035 + 1.58212i
\(658\) −28.9916 50.2149i −1.13021 1.95758i
\(659\) 47.5403 + 17.3032i 1.85191 + 0.674038i 0.984226 + 0.176913i \(0.0566111\pi\)
0.867679 + 0.497125i \(0.165611\pi\)
\(660\) −0.236164 + 1.67321i −0.00919266 + 0.0651297i
\(661\) 17.3080 3.05186i 0.673201 0.118704i 0.173410 0.984850i \(-0.444521\pi\)
0.499791 + 0.866146i \(0.333410\pi\)
\(662\) 47.6831 17.3552i 1.85326 0.674531i
\(663\) 3.42399 + 7.83609i 0.132977 + 0.304328i
\(664\) 27.2314i 1.05678i
\(665\) 19.6501 35.9417i 0.762000 1.39376i
\(666\) 0.471098 0.357660i 0.0182547 0.0138591i
\(667\) −9.13845 7.66807i −0.353842 0.296909i
\(668\) 0.297466 + 0.817280i 0.0115093 + 0.0316215i
\(669\) −1.53353 + 5.21147i −0.0592895 + 0.201487i
\(670\) 5.49554 + 16.5558i 0.212311 + 0.639605i
\(671\) 4.87238 13.3868i 0.188096 0.516790i
\(672\) 0.650261 + 10.3270i 0.0250844 + 0.398374i
\(673\) −10.8847 + 18.8529i −0.419574 + 0.726724i −0.995897 0.0904984i \(-0.971154\pi\)
0.576322 + 0.817223i \(0.304487\pi\)
\(674\) 9.84206 + 11.7293i 0.379102 + 0.451796i
\(675\) 24.7735 7.82780i 0.953532 0.301292i
\(676\) 2.24700 3.89192i 0.0864232 0.149689i
\(677\) −0.274021 + 0.158206i −0.0105315 + 0.00608036i −0.505257 0.862969i \(-0.668602\pi\)
0.494725 + 0.869050i \(0.335269\pi\)
\(678\) −5.45073 5.72323i −0.209334 0.219799i
\(679\) 7.47863 + 1.31868i 0.287003 + 0.0506064i
\(680\) −3.23877 4.09171i −0.124201 0.156910i
\(681\) −0.520774 + 4.64499i −0.0199561 + 0.177996i
\(682\) 4.46611 5.32250i 0.171016 0.203809i
\(683\) 1.02138i 0.0390820i −0.999809 0.0195410i \(-0.993780\pi\)
0.999809 0.0195410i \(-0.00622049\pi\)
\(684\) 0.583934 + 3.25304i 0.0223273 + 0.124383i
\(685\) −0.0227219 0.0420881i −0.000868161 0.00160810i
\(686\) 17.6975 + 14.8500i 0.675695 + 0.566975i
\(687\) −20.7512 2.32652i −0.791706 0.0887623i
\(688\) 21.4676 3.78531i 0.818443 0.144314i
\(689\) −37.7537 6.65699i −1.43830 0.253611i
\(690\) −42.5295 13.8465i −1.61907 0.527126i
\(691\) −16.7521 29.0155i −0.637281 1.10380i −0.986027 0.166585i \(-0.946726\pi\)
0.348746 0.937217i \(-0.386607\pi\)
\(692\) −4.39622 2.53816i −0.167119 0.0964864i
\(693\) 21.2246 + 4.81978i 0.806255 + 0.183088i
\(694\) −28.9008 34.4426i −1.09706 1.30742i
\(695\) −39.6893 1.13418i −1.50550 0.0430220i
\(696\) 7.02857 0.442567i 0.266417 0.0167755i
\(697\) −4.64206 1.68957i −0.175831 0.0639971i
\(698\) −25.2608 4.45416i −0.956134 0.168592i
\(699\) −0.653771 + 2.22175i −0.0247279 + 0.0840343i
\(700\) 5.16909 + 1.21942i 0.195373 + 0.0460897i
\(701\) 1.96646 2.34354i 0.0742723 0.0885143i −0.727629 0.685971i \(-0.759378\pi\)
0.801901 + 0.597457i \(0.203822\pi\)
\(702\) −42.5015 + 8.11448i −1.60412 + 0.306261i
\(703\) −0.557981 + 0.128517i −0.0210446 + 0.00484712i
\(704\) 11.6518i 0.439143i
\(705\) −21.9349 + 28.0412i −0.826118 + 1.05609i
\(706\) −1.07630 2.95711i −0.0405070 0.111292i
\(707\) −5.55229 31.4886i −0.208816 1.18425i
\(708\) 0.652902 0.885671i 0.0245376 0.0332856i
\(709\) 19.2064 + 6.99056i 0.721312 + 0.262536i 0.676483 0.736459i \(-0.263503\pi\)
0.0448294 + 0.998995i \(0.485726\pi\)
\(710\) −2.71805 1.67457i −0.102007 0.0628455i
\(711\) 2.29716 + 18.1687i 0.0861504 + 0.681380i
\(712\) 3.71026 + 4.42172i 0.139048 + 0.165711i
\(713\) 13.2626 + 15.8058i 0.496689 + 0.591930i
\(714\) 8.09788 5.38083i 0.303055 0.201372i
\(715\) 18.2333 + 11.2334i 0.681886 + 0.420104i
\(716\) −1.84298 0.670789i −0.0688753 0.0250686i
\(717\) 12.9183 + 9.52313i 0.482441 + 0.355648i
\(718\) 5.29902 + 30.0522i 0.197758 + 1.12154i
\(719\) 10.2529 + 28.1697i 0.382370 + 1.05055i 0.970356 + 0.241681i \(0.0776987\pi\)
−0.587986 + 0.808871i \(0.700079\pi\)
\(720\) 26.8772 12.8596i 1.00165 0.479249i
\(721\) 48.7892i 1.81701i
\(722\) 6.92749 27.6632i 0.257814 1.02952i
\(723\) 7.10133 14.3074i 0.264101 0.532098i
\(724\) −0.902167 + 1.07516i −0.0335288 + 0.0399580i
\(725\) 1.77992 7.54505i 0.0661047 0.280216i
\(726\) −20.0012 5.88555i −0.742315 0.218433i
\(727\) −22.6307 3.99040i −0.839326 0.147996i −0.262571 0.964913i \(-0.584570\pi\)
−0.576755 + 0.816917i \(0.695681\pi\)
\(728\) 57.4600 + 20.9137i 2.12961 + 0.775114i
\(729\) 21.1650 + 16.7644i 0.783888 + 0.620903i
\(730\) 45.7096 + 1.30622i 1.69179 + 0.0483453i
\(731\) −2.80736 3.34569i −0.103834 0.123745i
\(732\) 3.51125 0.849655i 0.129780 0.0314041i
\(733\) −11.4745 6.62479i −0.423819 0.244692i 0.272891 0.962045i \(-0.412020\pi\)
−0.696710 + 0.717353i \(0.745354\pi\)
\(734\) 3.63630 + 6.29826i 0.134218 + 0.232473i
\(735\) 12.7843 39.2670i 0.471555 1.44838i
\(736\) −10.7712 1.89926i −0.397033 0.0700076i
\(737\) 8.83625 1.55807i 0.325487 0.0573922i
\(738\) 13.5381 21.0118i 0.498344 0.773456i
\(739\) 6.70462 + 5.62584i 0.246633 + 0.206950i 0.757721 0.652579i \(-0.226313\pi\)
−0.511088 + 0.859529i \(0.670757\pi\)
\(740\) −0.0352677 0.0653266i −0.00129647 0.00240145i
\(741\) 40.7421 + 9.72608i 1.49670 + 0.357297i
\(742\) 43.5862i 1.60010i
\(743\) −17.5416 + 20.9052i −0.643537 + 0.766938i −0.984924 0.172985i \(-0.944659\pi\)
0.341387 + 0.939923i \(0.389103\pi\)
\(744\) −12.1048 1.35713i −0.443782 0.0497547i
\(745\) −30.5674 38.6175i −1.11990 1.41484i
\(746\) −14.4373 2.54569i −0.528589 0.0932045i
\(747\) 9.21485 + 29.7574i 0.337154 + 1.08877i
\(748\) 0.336248 0.194133i 0.0122944 0.00709819i
\(749\) 23.5430 40.7777i 0.860244 1.48999i
\(750\) −4.39259 28.7312i −0.160395 1.04912i
\(751\) −2.98658 3.55926i −0.108982 0.129879i 0.708796 0.705413i \(-0.249239\pi\)
−0.817778 + 0.575534i \(0.804794\pi\)
\(752\) −20.4141 + 35.3583i −0.744426 + 1.28938i
\(753\) −38.6032 + 2.43073i −1.40678 + 0.0885807i
\(754\) −4.41572 + 12.1321i −0.160811 + 0.441824i
\(755\) −11.4620 34.5302i −0.417145 1.25668i
\(756\) 1.96076 + 5.15930i 0.0713121 + 0.187642i
\(757\) −3.75874 10.3270i −0.136614 0.375343i 0.852455 0.522801i \(-0.175113\pi\)
−0.989068 + 0.147458i \(0.952891\pi\)
\(758\) 7.15961 + 6.00763i 0.260049 + 0.218207i
\(759\) −10.2281 + 20.6071i −0.371257 + 0.747990i
\(760\) −25.5539 + 0.594896i −0.926937 + 0.0215792i
\(761\) 28.1138i 1.01912i 0.860434 + 0.509562i \(0.170192\pi\)
−0.860434 + 0.509562i \(0.829808\pi\)
\(762\) 1.79502 0.784338i 0.0650269 0.0284136i
\(763\) 36.3505 13.2305i 1.31598 0.478976i
\(764\) −0.00300836 0.000530454i −0.000108838 1.91912e-5i
\(765\) −4.92379 3.37529i −0.178020 0.122034i
\(766\) −26.9818 9.82059i −0.974894 0.354832i
\(767\) −6.97252 12.0768i −0.251763 0.436066i
\(768\) 8.61677 5.72561i 0.310931 0.206605i
\(769\) 8.36247 7.01695i 0.301559 0.253038i −0.479434 0.877578i \(-0.659158\pi\)
0.780993 + 0.624540i \(0.214714\pi\)
\(770\) 8.97795 22.6331i 0.323543 0.815642i
\(771\) 20.0696 + 30.2038i 0.722790 + 1.08776i
\(772\) 2.42161 + 4.19434i 0.0871555 + 0.150958i
\(773\) −7.70845 + 21.1788i −0.277254 + 0.761749i 0.720417 + 0.693541i \(0.243950\pi\)
−0.997671 + 0.0682078i \(0.978272\pi\)
\(774\) 19.6540 10.1034i 0.706447 0.363158i
\(775\) −5.29785 + 12.3170i −0.190304 + 0.442440i
\(776\) −1.62072 4.45290i −0.0581806 0.159850i
\(777\) −0.876215 + 0.382863i −0.0314341 + 0.0137351i
\(778\) 4.65141 0.166761
\(779\) −20.3001 + 13.1682i −0.727328 + 0.471799i
\(780\) 0.186323 + 5.42762i 0.00667144 + 0.194340i
\(781\) −1.05552 + 1.25792i −0.0377695 + 0.0450119i
\(782\) 3.51490 + 9.65712i 0.125693 + 0.345338i
\(783\) 7.53077 2.86202i 0.269128 0.102280i
\(784\) 8.22374 46.6391i 0.293705 1.66568i
\(785\) −12.1520 + 1.78647i −0.433724 + 0.0637617i
\(786\) −2.99213 47.5191i −0.106726 1.69495i
\(787\) 20.0384 34.7076i 0.714293 1.23719i −0.248939 0.968519i \(-0.580082\pi\)
0.963232 0.268672i \(-0.0865848\pi\)
\(788\) 2.46647 2.06962i 0.0878645 0.0737271i
\(789\) −32.7491 + 7.92465i −1.16590 + 0.282125i
\(790\) 20.4791 + 0.585220i 0.728612 + 0.0208212i
\(791\) 6.38853 + 11.0653i 0.227150 + 0.393435i
\(792\) −4.01748 12.9736i −0.142755 0.460996i
\(793\) 7.95044 45.0892i 0.282328 1.60116i
\(794\) −3.01128 17.0778i −0.106866 0.606068i
\(795\) 24.8189 10.0104i 0.880235 0.355032i
\(796\) 2.83738 + 2.38085i 0.100568 + 0.0843869i
\(797\) 14.0074i 0.496168i 0.968738 + 0.248084i \(0.0798009\pi\)
−0.968738 + 0.248084i \(0.920199\pi\)
\(798\) 2.84638 47.5381i 0.100761 1.68283i
\(799\) 8.18013 0.289392
\(800\) −2.04554 6.80680i −0.0723207 0.240657i
\(801\) 5.55069 + 3.57635i 0.196124 + 0.126364i
\(802\) −37.8156 + 6.66791i −1.33532 + 0.235452i
\(803\) 4.08436 23.1636i 0.144134 0.817424i
\(804\) 1.56920 + 1.64765i 0.0553414 + 0.0581082i
\(805\) 61.5610 + 37.9272i 2.16974 + 1.33676i
\(806\) 11.1651 19.3385i 0.393274 0.681170i
\(807\) 5.88922 1.42508i 0.207310 0.0501651i
\(808\) −15.2842 + 12.8250i −0.537696 + 0.451181i
\(809\) 22.3954 + 12.9300i 0.787380 + 0.454594i 0.839039 0.544071i \(-0.183118\pi\)
−0.0516593 + 0.998665i \(0.516451\pi\)
\(810\) 22.1715 20.5131i 0.779026 0.720757i
\(811\) −1.32593 + 3.64295i −0.0465596 + 0.127921i −0.960793 0.277266i \(-0.910572\pi\)
0.914234 + 0.405188i \(0.132794\pi\)
\(812\) 1.62184 + 0.285974i 0.0569155 + 0.0100357i
\(813\) −7.99432 + 27.1676i −0.280373 + 0.952809i
\(814\) −0.319830 + 0.116408i −0.0112100 + 0.00408011i
\(815\) 19.3770 + 3.99053i 0.678747 + 0.139782i
\(816\) −6.13225 3.04368i −0.214672 0.106550i
\(817\) −21.3641 + 1.10861i −0.747435 + 0.0387852i
\(818\) 49.8640 1.74345
\(819\) 69.8670 + 3.40977i 2.44135 + 0.119147i
\(820\) −2.34469 2.08441i −0.0818800 0.0727907i
\(821\) 18.4794 3.25842i 0.644936 0.113720i 0.158393 0.987376i \(-0.449369\pi\)
0.486543 + 0.873657i \(0.338258\pi\)
\(822\) −0.0447595 0.0329960i −0.00156117 0.00115087i
\(823\) −8.10065 + 22.2564i −0.282371 + 0.775808i 0.714707 + 0.699424i \(0.246560\pi\)
−0.997078 + 0.0763844i \(0.975662\pi\)
\(824\) 26.3658 15.2223i 0.918497 0.530294i
\(825\) −14.9497 + 0.0859097i −0.520483 + 0.00299099i
\(826\) −12.1455 + 10.1913i −0.422595 + 0.354599i
\(827\) 11.9969 + 14.2973i 0.417171 + 0.497166i 0.933176 0.359420i \(-0.117026\pi\)
−0.516004 + 0.856586i \(0.672581\pi\)
\(828\) −5.78791 + 0.731796i −0.201144 + 0.0254317i
\(829\) −23.2005 + 13.3948i −0.805786 + 0.465221i −0.845490 0.533991i \(-0.820692\pi\)
0.0397045 + 0.999211i \(0.487358\pi\)
\(830\) 34.4791 5.06876i 1.19679 0.175939i
\(831\) −24.2202 17.8547i −0.840188 0.619373i
\(832\) −6.50269 36.8786i −0.225440 1.27854i
\(833\) −8.91630 + 3.24527i −0.308931 + 0.112442i
\(834\) −42.3000 + 18.4830i −1.46473 + 0.640015i
\(835\) −6.77099 + 3.65543i −0.234320 + 0.126501i
\(836\) 0.232744 1.88751i 0.00804962 0.0652808i
\(837\) −13.6868 + 2.61312i −0.473086 + 0.0903226i
\(838\) −18.4203 15.4565i −0.636319 0.533935i
\(839\) −18.5346 + 6.74605i −0.639886 + 0.232899i −0.641529 0.767099i \(-0.721699\pi\)
0.00164251 + 0.999999i \(0.499477\pi\)
\(840\) −41.7583 + 8.85020i −1.44080 + 0.305361i
\(841\) −4.61838 + 26.1921i −0.159254 + 0.903176i
\(842\) 24.8612 + 9.04874i 0.856774 + 0.311840i
\(843\) −2.28779 36.3331i −0.0787956 1.25138i
\(844\) −1.68987 0.975649i −0.0581678 0.0335832i
\(845\) 36.9580 + 14.6602i 1.27139 + 0.504327i
\(846\) −9.16573 + 40.3626i −0.315124 + 1.38769i
\(847\) 29.1897 + 16.8527i 1.00297 + 0.579065i
\(848\) 26.5789 15.3454i 0.912724 0.526962i
\(849\) −23.2598 + 22.1524i −0.798276 + 0.760267i
\(850\) −4.57787 + 4.86238i −0.157020 + 0.166778i
\(851\) −0.175510 0.995369i −0.00601642 0.0341208i
\(852\) −0.413824 0.0463959i −0.0141774 0.00158950i
\(853\) −29.0249 + 34.5906i −0.993794 + 1.18436i −0.0109464 + 0.999940i \(0.503484\pi\)
−0.982848 + 0.184418i \(0.940960\pi\)
\(854\) −52.0549 −1.78128
\(855\) −27.7229 + 9.29726i −0.948104 + 0.317960i
\(856\) −29.3818 −1.00425
\(857\) 36.7660 43.8161i 1.25590 1.49673i 0.464320 0.885667i \(-0.346299\pi\)
0.791584 0.611061i \(-0.209257\pi\)
\(858\) 24.7432 + 2.77409i 0.844718 + 0.0947057i
\(859\) 6.47346 + 36.7128i 0.220872 + 1.25262i 0.870422 + 0.492306i \(0.163846\pi\)
−0.649550 + 0.760318i \(0.725043\pi\)
\(860\) −0.873812 2.63243i −0.0297968 0.0897652i
\(861\) −29.2612 + 27.8680i −0.997219 + 0.949738i
\(862\) 9.18121 5.30077i 0.312713 0.180545i
\(863\) −19.5176 11.2685i −0.664388 0.383584i 0.129559 0.991572i \(-0.458644\pi\)
−0.793947 + 0.607987i \(0.791977\pi\)
\(864\) 4.66749 5.72474i 0.158791 0.194759i
\(865\) 16.5598 41.7468i 0.563051 1.41943i
\(866\) 27.1932 + 15.7000i 0.924061 + 0.533507i
\(867\) −1.76419 28.0177i −0.0599151 0.951532i
\(868\) −2.67661 0.974208i −0.0908502 0.0330668i
\(869\) 1.82990 10.3779i 0.0620751 0.352045i
\(870\) −1.86863 8.81684i −0.0633524 0.298919i
\(871\) 27.0977 9.86277i 0.918172 0.334187i
\(872\) −18.4912 15.5160i −0.626191 0.525437i
\(873\) −3.27788 4.31751i −0.110939 0.146126i
\(874\) 48.1312 + 14.7423i 1.62806 + 0.498666i
\(875\) −4.02218 + 46.8149i −0.135974 + 1.58263i
\(876\) 5.46563 2.38821i 0.184667 0.0806903i
\(877\) −8.73624 + 3.17973i −0.295002 + 0.107372i −0.485281 0.874358i \(-0.661283\pi\)
0.190280 + 0.981730i \(0.439061\pi\)
\(878\) −1.71978 9.75333i −0.0580396 0.329159i
\(879\) 15.6664 + 11.5490i 0.528414 + 0.389538i
\(880\) −16.9626 + 2.49367i −0.571809 + 0.0840615i
\(881\) −0.745241 + 0.430265i −0.0251078 + 0.0144960i −0.512501 0.858686i \(-0.671281\pi\)
0.487394 + 0.873182i \(0.337948\pi\)
\(882\) −6.02227 47.6313i −0.202780 1.60383i
\(883\) −8.13474 9.69460i −0.273756 0.326249i 0.611597 0.791170i \(-0.290527\pi\)
−0.885353 + 0.464920i \(0.846083\pi\)
\(884\) 0.955902 0.802097i 0.0321505 0.0269774i
\(885\) 8.59255 + 4.57526i 0.288836 + 0.153796i
\(886\) −22.4474 + 12.9600i −0.754134 + 0.435400i
\(887\) 13.1199 36.0467i 0.440523 1.21033i −0.498625 0.866818i \(-0.666162\pi\)
0.939149 0.343511i \(-0.111616\pi\)
\(888\) 0.480281 + 0.354055i 0.0161172 + 0.0118813i
\(889\) −3.11870 + 0.549911i −0.104598 + 0.0184434i
\(890\) 4.90794 5.52079i 0.164515 0.185057i
\(891\) −8.78027 12.8175i −0.294150 0.429404i
\(892\) 0.792704 0.0265417
\(893\) 24.1300 31.9873i 0.807479 1.07041i
\(894\) −51.2894 25.4570i −1.71538 0.851408i
\(895\) 3.49997 16.9950i 0.116991 0.568080i
\(896\) −51.2359 + 18.6483i −1.71167 + 0.622998i
\(897\) −20.8721 + 70.9308i −0.696898 + 2.36831i
\(898\) −12.5001 2.20410i −0.417133 0.0735517i
\(899\) −1.42200 + 3.90691i −0.0474264 + 0.130303i
\(900\) −2.11626 3.14550i −0.0705420 0.104850i
\(901\) −5.32522 3.07452i −0.177409 0.102427i
\(902\) −11.0181 + 9.24526i −0.366862 + 0.307833i
\(903\) −34.7233 + 8.40237i −1.15552 + 0.279613i
\(904\) 3.98646 6.90475i 0.132588 0.229649i
\(905\) −10.5719 6.51328i −0.351423 0.216509i
\(906\) −29.1717 30.6301i −0.969164 1.01762i
\(907\) −1.66478 + 9.44144i −0.0552782 + 0.313498i −0.999892 0.0146855i \(-0.995325\pi\)
0.944614 + 0.328183i \(0.106436\pi\)
\(908\) 0.671686 0.118436i 0.0222907 0.00393045i
\(909\) −12.3621 + 19.1866i −0.410025 + 0.636380i
\(910\) 15.7845 76.6458i 0.523252 2.54078i
\(911\) −0.791250 −0.0262153 −0.0131076 0.999914i \(-0.504172\pi\)
−0.0131076 + 0.999914i \(0.504172\pi\)
\(912\) −29.9910 + 15.0010i −0.993100 + 0.496732i
\(913\) 17.9254i 0.593243i
\(914\) 6.41793 + 5.38528i 0.212286 + 0.178129i
\(915\) 11.9554 + 29.6411i 0.395234 + 0.979905i
\(916\) 0.529106 + 3.00071i 0.0174822 + 0.0991463i
\(917\) −13.3662 + 75.8034i −0.441390 + 2.50325i
\(918\) −6.85118 1.10855i −0.226123 0.0365876i
\(919\) −1.31314 2.27443i −0.0433165 0.0750265i 0.843554 0.537044i \(-0.180459\pi\)
−0.886871 + 0.462017i \(0.847126\pi\)
\(920\) 1.28883 45.1010i 0.0424914 1.48694i
\(921\) 37.5051 9.07551i 1.23584 0.299048i
\(922\) 10.6746 8.95704i 0.351549 0.294984i
\(923\) −2.63876 + 4.57047i −0.0868559 + 0.150439i
\(924\) −0.199585 3.16968i −0.00656588 0.104275i
\(925\) 0.526431 0.392765i 0.0173089 0.0129140i
\(926\) 1.41973 8.05169i 0.0466552 0.264595i
\(927\) 23.6604 25.5563i 0.777110 0.839377i
\(928\) −0.753793 2.07103i −0.0247445 0.0679849i
\(929\) −16.6491 + 19.8416i −0.546238 + 0.650982i −0.966574 0.256387i \(-0.917468\pi\)
0.420336 + 0.907369i \(0.361912\pi\)
\(930\) 0.534809 + 15.5791i 0.0175371 + 0.510857i
\(931\) −13.6114 + 44.4389i −0.446095 + 1.45643i
\(932\) 0.337945 0.0110697
\(933\) −24.2551 + 10.5983i −0.794077 + 0.346973i
\(934\) 1.66864 + 4.58454i 0.0545994 + 0.150011i
\(935\) 2.13195 + 2.69341i 0.0697223 + 0.0880840i
\(936\) −19.9559 38.8201i −0.652281 1.26888i
\(937\) −11.5847 + 31.8286i −0.378455 + 1.03980i 0.593542 + 0.804803i \(0.297729\pi\)
−0.971997 + 0.234993i \(0.924493\pi\)
\(938\) −16.3930 28.3935i −0.535250 0.927080i
\(939\) 10.7241 + 16.1392i 0.349967 + 0.526683i
\(940\) 4.82894 + 1.91551i 0.157503 + 0.0624769i
\(941\) 32.1364 26.9656i 1.04762 0.879055i 0.0547759 0.998499i \(-0.482556\pi\)
0.992841 + 0.119444i \(0.0381111\pi\)
\(942\) −11.8936 + 7.90295i −0.387513 + 0.257492i
\(943\) −21.3561 36.9898i −0.695449 1.20455i
\(944\) 10.4907 + 3.81830i 0.341443 + 0.124275i
\(945\) −42.6370 + 23.8018i −1.38698 + 0.774271i
\(946\) −12.5230 + 2.20815i −0.407158 + 0.0717930i
\(947\) 53.5124 19.4769i 1.73892 0.632915i 0.739721 0.672914i \(-0.234958\pi\)
0.999200 + 0.0399985i \(0.0127353\pi\)
\(948\) 2.44874 1.06998i 0.0795314 0.0347514i
\(949\) 75.5936i 2.45387i
\(950\) 5.50973 + 32.2443i 0.178759 + 1.04614i
\(951\) 19.7044 39.6994i 0.638958 1.28734i
\(952\) 7.51333 + 6.30443i 0.243509 + 0.204328i
\(953\) 10.9229 + 30.0104i 0.353827 + 0.972131i 0.981129 + 0.193355i \(0.0619369\pi\)
−0.627302 + 0.778776i \(0.715841\pi\)
\(954\) 21.1372 22.8308i 0.684341 0.739176i
\(955\) −0.00851428 0.0256500i −0.000275516 0.000830013i
\(956\) 0.800974 2.20066i 0.0259053 0.0711744i
\(957\) −4.62663 + 0.291325i −0.149558 + 0.00941719i
\(958\) −21.3724 + 37.0180i −0.690510 + 1.19600i
\(959\) 0.0577839 + 0.0688642i 0.00186594 + 0.00222374i
\(960\) 17.4805 + 19.4371i 0.564180 + 0.627331i
\(961\) −11.9045 + 20.6192i −0.384016 + 0.665135i
\(962\) −0.947315 + 0.546932i −0.0305426 + 0.0176338i
\(963\) −32.1073 + 9.94253i −1.03464 + 0.320394i
\(964\) −2.29536 0.404734i −0.0739285 0.0130356i
\(965\) −33.5976 + 26.5939i −1.08154 + 0.856088i
\(966\) 83.5403 + 9.36614i 2.68786 + 0.301351i
\(967\) 35.5388 42.3535i 1.14285 1.36200i 0.220618 0.975360i \(-0.429193\pi\)
0.922233 0.386635i \(-0.126363\pi\)
\(968\) 21.0322i 0.676002i
\(969\) 5.60728 + 3.70105i 0.180132 + 0.118895i
\(970\) −5.33636 + 2.88093i −0.171340 + 0.0925009i
\(971\) −27.6260 23.1809i −0.886559 0.743911i 0.0809580 0.996718i \(-0.474202\pi\)
−0.967517 + 0.252806i \(0.918646\pi\)
\(972\) 1.47495 3.65336i 0.0473090 0.117182i
\(973\) 73.4926 12.9587i 2.35606 0.415438i
\(974\) 29.2354 + 5.15499i 0.936762 + 0.165177i
\(975\) −47.2689 + 8.61515i −1.51382 + 0.275906i
\(976\) 18.3269 + 31.7432i 0.586631 + 1.01607i
\(977\) 53.4417 + 30.8546i 1.70975 + 0.987126i 0.934848 + 0.355049i \(0.115536\pi\)
0.774905 + 0.632077i \(0.217797\pi\)
\(978\) 22.3553 5.40956i 0.714845 0.172979i
\(979\) −2.44232 2.91064i −0.0780568 0.0930244i
\(980\) −6.02344 0.172129i −0.192412 0.00549846i
\(981\) −25.4569 10.6980i −0.812775 0.341560i
\(982\) 22.6307 + 8.23688i 0.722173 + 0.262850i
\(983\) 15.3914 + 2.71391i 0.490908 + 0.0865604i 0.413622 0.910449i \(-0.364263\pi\)
0.0772860 + 0.997009i \(0.475375\pi\)
\(984\) 24.1895 + 7.11797i 0.771132 + 0.226913i
\(985\) 21.2895 + 18.9262i 0.678340 + 0.603039i
\(986\) −1.33112 + 1.58636i −0.0423914 + 0.0505201i
\(987\) 29.7485 59.9358i 0.946905 1.90778i
\(988\) −0.316742 6.10397i −0.0100769 0.194193i
\(989\) 37.7622i 1.20077i
\(990\) −15.6787 + 7.50159i −0.498302 + 0.238416i
\(991\) 3.87234 + 10.6392i 0.123009 + 0.337964i 0.985878 0.167463i \(-0.0535573\pi\)
−0.862870 + 0.505427i \(0.831335\pi\)
\(992\) 0.661932 + 3.75400i 0.0210164 + 0.119190i
\(993\) 47.1345 + 34.7468i 1.49577 + 1.10266i
\(994\) 5.63841 + 2.05221i 0.178839 + 0.0650922i
\(995\) −17.1887 + 27.8997i −0.544920 + 0.884479i
\(996\) 3.78604 2.51573i 0.119965 0.0797138i
\(997\) −3.27879 3.90750i −0.103840 0.123752i 0.711621 0.702563i \(-0.247961\pi\)
−0.815461 + 0.578811i \(0.803517\pi\)
\(998\) −29.2707 34.8835i −0.926549 1.10422i
\(999\) 0.644640 + 0.224374i 0.0203955 + 0.00709889i
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 285.2.bf.c.269.26 yes 192
3.2 odd 2 inner 285.2.bf.c.269.8 yes 192
5.4 even 2 inner 285.2.bf.c.269.7 yes 192
15.14 odd 2 inner 285.2.bf.c.269.25 yes 192
19.13 odd 18 inner 285.2.bf.c.89.25 yes 192
57.32 even 18 inner 285.2.bf.c.89.7 192
95.89 odd 18 inner 285.2.bf.c.89.8 yes 192
285.89 even 18 inner 285.2.bf.c.89.26 yes 192
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
285.2.bf.c.89.7 192 57.32 even 18 inner
285.2.bf.c.89.8 yes 192 95.89 odd 18 inner
285.2.bf.c.89.25 yes 192 19.13 odd 18 inner
285.2.bf.c.89.26 yes 192 285.89 even 18 inner
285.2.bf.c.269.7 yes 192 5.4 even 2 inner
285.2.bf.c.269.8 yes 192 3.2 odd 2 inner
285.2.bf.c.269.25 yes 192 15.14 odd 2 inner
285.2.bf.c.269.26 yes 192 1.1 even 1 trivial