Properties

Label 95.2.k.a.16.3
Level $95$
Weight $2$
Character 95.16
Analytic conductor $0.759$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [95,2,Mod(6,95)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(95, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([0, 14]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("95.6");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 95 = 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 95.k (of order \(9\), 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: \(0.758578819202\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{18} - 3 x^{17} + 15 x^{16} - 14 x^{15} + 72 x^{14} - 51 x^{13} + 231 x^{12} - 93 x^{11} + 438 x^{10} - 156 x^{9} + 582 x^{8} - 138 x^{7} + 437 x^{6} - 132 x^{5} + 198 x^{4} - 16 x^{3} + \cdots + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 16.3
Root \(-0.644984 - 1.11715i\) of defining polynomial
Character \(\chi\) \(=\) 95.16
Dual form 95.2.k.a.6.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.75422 + 1.47196i) q^{2} +(-3.10785 + 1.13116i) q^{3} +(0.563307 + 3.19467i) q^{4} +(0.173648 - 0.984808i) q^{5} +(-7.11687 - 2.59033i) q^{6} +(1.46955 + 2.54534i) q^{7} +(-1.42431 + 2.46697i) q^{8} +(6.08105 - 5.10261i) q^{9} +O(q^{10})\) \(q+(1.75422 + 1.47196i) q^{2} +(-3.10785 + 1.13116i) q^{3} +(0.563307 + 3.19467i) q^{4} +(0.173648 - 0.984808i) q^{5} +(-7.11687 - 2.59033i) q^{6} +(1.46955 + 2.54534i) q^{7} +(-1.42431 + 2.46697i) q^{8} +(6.08105 - 5.10261i) q^{9} +(1.75422 - 1.47196i) q^{10} +(0.288800 - 0.500217i) q^{11} +(-5.36437 - 9.29136i) q^{12} +(0.629967 + 0.229289i) q^{13} +(-1.16873 + 6.62820i) q^{14} +(0.574307 + 3.25706i) q^{15} +(-0.0331972 + 0.0120828i) q^{16} +(-0.269572 - 0.226198i) q^{17} +18.1783 q^{18} +(-3.86230 - 2.02056i) q^{19} +3.24395 q^{20} +(-7.44633 - 6.24822i) q^{21} +(1.24292 - 0.452386i) q^{22} +(-0.715571 - 4.05820i) q^{23} +(1.63598 - 9.27810i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(0.767594 + 1.32951i) q^{26} +(-8.16613 + 14.1442i) q^{27} +(-7.30371 + 6.12854i) q^{28} +(2.30426 - 1.93351i) q^{29} +(-3.78681 + 6.55894i) q^{30} +(-0.148853 - 0.257821i) q^{31} +(5.27762 + 1.92090i) q^{32} +(-0.331720 + 1.88128i) q^{33} +(-0.139933 - 0.793600i) q^{34} +(2.76185 - 1.00523i) q^{35} +(19.7266 + 16.5526i) q^{36} -8.30595 q^{37} +(-3.80111 - 9.22966i) q^{38} -2.21721 q^{39} +(2.18216 + 1.83105i) q^{40} +(-2.51099 + 0.913926i) q^{41} +(-3.86534 - 21.9215i) q^{42} +(-1.14578 + 6.49806i) q^{43} +(1.76071 + 0.640846i) q^{44} +(-3.96912 - 6.87472i) q^{45} +(4.71826 - 8.17226i) q^{46} +(8.45135 - 7.09153i) q^{47} +(0.0895041 - 0.0751029i) q^{48} +(-0.819160 + 1.41883i) q^{49} +(-1.14498 - 1.98317i) q^{50} +(1.09366 + 0.398058i) q^{51} +(-0.377639 + 2.14170i) q^{52} +(-0.713104 - 4.04421i) q^{53} +(-35.1449 + 12.7917i) q^{54} +(-0.442468 - 0.371274i) q^{55} -8.37237 q^{56} +(14.2890 + 1.91071i) q^{57} +6.88822 q^{58} +(0.467725 + 0.392468i) q^{59} +(-10.0817 + 3.66944i) q^{60} +(0.178325 + 1.01133i) q^{61} +(0.118383 - 0.671381i) q^{62} +(21.9243 + 7.97978i) q^{63} +(6.46593 + 11.1993i) q^{64} +(0.335199 - 0.580581i) q^{65} +(-3.35108 + 2.81189i) q^{66} +(-2.55547 + 2.14429i) q^{67} +(0.570776 - 0.988612i) q^{68} +(6.81438 + 11.8028i) q^{69} +(6.32455 + 2.30195i) q^{70} +(-2.29645 + 13.0238i) q^{71} +(3.92671 + 22.2695i) q^{72} +(-6.70827 + 2.44161i) q^{73} +(-14.5704 - 12.2261i) q^{74} +3.30730 q^{75} +(4.27938 - 13.4770i) q^{76} +1.69763 q^{77} +(-3.88946 - 3.26364i) q^{78} +(-1.44931 + 0.527504i) q^{79} +(0.00613459 + 0.0347910i) q^{80} +(5.24435 - 29.7422i) q^{81} +(-5.75009 - 2.09286i) q^{82} +(-6.65930 - 11.5342i) q^{83} +(15.7664 - 27.3082i) q^{84} +(-0.269572 + 0.226198i) q^{85} +(-11.5749 + 9.71246i) q^{86} +(-4.97418 + 8.61554i) q^{87} +(0.822680 + 1.42492i) q^{88} +(6.17500 + 2.24752i) q^{89} +(3.15663 - 17.9022i) q^{90} +(0.342150 + 1.94043i) q^{91} +(12.5615 - 4.57203i) q^{92} +(0.754252 + 0.632892i) q^{93} +25.2640 q^{94} +(-2.66055 + 3.45275i) q^{95} -18.5749 q^{96} +(9.34414 + 7.84066i) q^{97} +(-3.52545 + 1.28316i) q^{98} +(-0.796200 - 4.51548i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9} - 3 q^{10} - 18 q^{12} - 3 q^{13} - 12 q^{14} - 3 q^{15} - 3 q^{16} + 24 q^{17} + 48 q^{18} + 12 q^{20} - 21 q^{21} + 9 q^{22} - 9 q^{23} - 15 q^{24} + 3 q^{26} - 24 q^{27} - 12 q^{28} + 15 q^{29} - 12 q^{30} - 18 q^{31} + 15 q^{32} - 33 q^{33} - 12 q^{34} + 75 q^{36} + 36 q^{37} - 33 q^{38} + 36 q^{39} - 6 q^{40} - 30 q^{41} - 9 q^{42} - 36 q^{43} + 42 q^{44} - 6 q^{45} + 9 q^{46} + 21 q^{47} + 33 q^{48} + 9 q^{49} - 6 q^{50} - 45 q^{51} - 39 q^{52} - 12 q^{53} - 66 q^{54} + 3 q^{55} + 72 q^{57} + 12 q^{58} + 18 q^{59} - 3 q^{60} - 30 q^{61} - 24 q^{62} + 54 q^{63} + 36 q^{64} - 9 q^{65} + 39 q^{66} + 51 q^{68} + 15 q^{69} + 33 q^{70} - 12 q^{71} - 66 q^{72} + 24 q^{73} - 15 q^{74} + 18 q^{75} - 33 q^{76} - 60 q^{77} - 48 q^{78} - 51 q^{79} + 15 q^{80} + 27 q^{81} - 15 q^{82} + 48 q^{84} + 24 q^{85} + 63 q^{86} - 15 q^{87} - 27 q^{88} - 54 q^{89} - 9 q^{90} + 30 q^{91} - 42 q^{92} + 72 q^{93} + 30 q^{94} + 15 q^{95} - 66 q^{96} + 27 q^{97} - 3 q^{98} - 93 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.75422 + 1.47196i 1.24042 + 1.04084i 0.997491 + 0.0707907i \(0.0225522\pi\)
0.242928 + 0.970044i \(0.421892\pi\)
\(3\) −3.10785 + 1.13116i −1.79432 + 0.653078i −0.795423 + 0.606055i \(0.792751\pi\)
−0.998894 + 0.0470226i \(0.985027\pi\)
\(4\) 0.563307 + 3.19467i 0.281653 + 1.59734i
\(5\) 0.173648 0.984808i 0.0776578 0.440419i
\(6\) −7.11687 2.59033i −2.90545 1.05750i
\(7\) 1.46955 + 2.54534i 0.555438 + 0.962047i 0.997869 + 0.0652445i \(0.0207827\pi\)
−0.442431 + 0.896802i \(0.645884\pi\)
\(8\) −1.42431 + 2.46697i −0.503569 + 0.872206i
\(9\) 6.08105 5.10261i 2.02702 1.70087i
\(10\) 1.75422 1.47196i 0.554732 0.465476i
\(11\) 0.288800 0.500217i 0.0870766 0.150821i −0.819198 0.573511i \(-0.805581\pi\)
0.906274 + 0.422690i \(0.138914\pi\)
\(12\) −5.36437 9.29136i −1.54856 2.68218i
\(13\) 0.629967 + 0.229289i 0.174721 + 0.0635934i 0.427900 0.903826i \(-0.359254\pi\)
−0.253178 + 0.967420i \(0.581476\pi\)
\(14\) −1.16873 + 6.62820i −0.312356 + 1.77146i
\(15\) 0.574307 + 3.25706i 0.148285 + 0.840968i
\(16\) −0.0331972 + 0.0120828i −0.00829929 + 0.00302070i
\(17\) −0.269572 0.226198i −0.0653808 0.0548610i 0.609512 0.792777i \(-0.291366\pi\)
−0.674892 + 0.737916i \(0.735810\pi\)
\(18\) 18.1783 4.28467
\(19\) −3.86230 2.02056i −0.886071 0.463549i
\(20\) 3.24395 0.725370
\(21\) −7.44633 6.24822i −1.62492 1.36347i
\(22\) 1.24292 0.452386i 0.264991 0.0964489i
\(23\) −0.715571 4.05820i −0.149207 0.846194i −0.963893 0.266291i \(-0.914202\pi\)
0.814686 0.579903i \(-0.196909\pi\)
\(24\) 1.63598 9.27810i 0.333943 1.89388i
\(25\) −0.939693 0.342020i −0.187939 0.0684040i
\(26\) 0.767594 + 1.32951i 0.150538 + 0.260739i
\(27\) −8.16613 + 14.1442i −1.57157 + 2.72204i
\(28\) −7.30371 + 6.12854i −1.38027 + 1.15818i
\(29\) 2.30426 1.93351i 0.427891 0.359043i −0.403264 0.915083i \(-0.632125\pi\)
0.831155 + 0.556041i \(0.187680\pi\)
\(30\) −3.78681 + 6.55894i −0.691373 + 1.19749i
\(31\) −0.148853 0.257821i −0.0267348 0.0463061i 0.852348 0.522974i \(-0.175178\pi\)
−0.879083 + 0.476668i \(0.841844\pi\)
\(32\) 5.27762 + 1.92090i 0.932961 + 0.339570i
\(33\) −0.331720 + 1.88128i −0.0577450 + 0.327488i
\(34\) −0.139933 0.793600i −0.0239983 0.136101i
\(35\) 2.76185 1.00523i 0.466838 0.169915i
\(36\) 19.7266 + 16.5526i 3.28777 + 2.75877i
\(37\) −8.30595 −1.36549 −0.682745 0.730657i \(-0.739214\pi\)
−0.682745 + 0.730657i \(0.739214\pi\)
\(38\) −3.80111 9.22966i −0.616622 1.49725i
\(39\) −2.21721 −0.355037
\(40\) 2.18216 + 1.83105i 0.345031 + 0.289515i
\(41\) −2.51099 + 0.913926i −0.392151 + 0.142731i −0.530567 0.847643i \(-0.678021\pi\)
0.138416 + 0.990374i \(0.455799\pi\)
\(42\) −3.86534 21.9215i −0.596436 3.38255i
\(43\) −1.14578 + 6.49806i −0.174730 + 0.990945i 0.763724 + 0.645543i \(0.223369\pi\)
−0.938455 + 0.345403i \(0.887742\pi\)
\(44\) 1.76071 + 0.640846i 0.265437 + 0.0966112i
\(45\) −3.96912 6.87472i −0.591682 1.02482i
\(46\) 4.71826 8.17226i 0.695669 1.20493i
\(47\) 8.45135 7.09153i 1.23276 1.03441i 0.234701 0.972068i \(-0.424589\pi\)
0.998055 0.0623379i \(-0.0198556\pi\)
\(48\) 0.0895041 0.0751029i 0.0129188 0.0108402i
\(49\) −0.819160 + 1.41883i −0.117023 + 0.202690i
\(50\) −1.14498 1.98317i −0.161925 0.280463i
\(51\) 1.09366 + 0.398058i 0.153142 + 0.0557393i
\(52\) −0.377639 + 2.14170i −0.0523691 + 0.297000i
\(53\) −0.713104 4.04421i −0.0979523 0.555515i −0.993803 0.111159i \(-0.964544\pi\)
0.895850 0.444356i \(-0.146567\pi\)
\(54\) −35.1449 + 12.7917i −4.78261 + 1.74073i
\(55\) −0.442468 0.371274i −0.0596623 0.0500626i
\(56\) −8.37237 −1.11880
\(57\) 14.2890 + 1.91071i 1.89263 + 0.253080i
\(58\) 6.88822 0.904468
\(59\) 0.467725 + 0.392468i 0.0608926 + 0.0510950i 0.672726 0.739892i \(-0.265123\pi\)
−0.611833 + 0.790987i \(0.709568\pi\)
\(60\) −10.0817 + 3.66944i −1.30154 + 0.473723i
\(61\) 0.178325 + 1.01133i 0.0228322 + 0.129488i 0.994093 0.108529i \(-0.0346139\pi\)
−0.971261 + 0.238016i \(0.923503\pi\)
\(62\) 0.118383 0.671381i 0.0150346 0.0852655i
\(63\) 21.9243 + 7.97978i 2.76220 + 1.00536i
\(64\) 6.46593 + 11.1993i 0.808242 + 1.39992i
\(65\) 0.335199 0.580581i 0.0415763 0.0720122i
\(66\) −3.35108 + 2.81189i −0.412489 + 0.346120i
\(67\) −2.55547 + 2.14429i −0.312200 + 0.261967i −0.785401 0.618988i \(-0.787543\pi\)
0.473201 + 0.880955i \(0.343099\pi\)
\(68\) 0.570776 0.988612i 0.0692167 0.119887i
\(69\) 6.81438 + 11.8028i 0.820355 + 1.42090i
\(70\) 6.32455 + 2.30195i 0.755929 + 0.275136i
\(71\) −2.29645 + 13.0238i −0.272538 + 1.54564i 0.474137 + 0.880451i \(0.342760\pi\)
−0.746675 + 0.665189i \(0.768351\pi\)
\(72\) 3.92671 + 22.2695i 0.462767 + 2.62448i
\(73\) −6.70827 + 2.44161i −0.785143 + 0.285769i −0.703316 0.710878i \(-0.748298\pi\)
−0.0818275 + 0.996647i \(0.526076\pi\)
\(74\) −14.5704 12.2261i −1.69378 1.42125i
\(75\) 3.30730 0.381894
\(76\) 4.27938 13.4770i 0.490878 1.54591i
\(77\) 1.69763 0.193463
\(78\) −3.88946 3.26364i −0.440395 0.369535i
\(79\) −1.44931 + 0.527504i −0.163060 + 0.0593489i −0.422260 0.906475i \(-0.638763\pi\)
0.259201 + 0.965824i \(0.416541\pi\)
\(80\) 0.00613459 + 0.0347910i 0.000685868 + 0.00388975i
\(81\) 5.24435 29.7422i 0.582706 3.30469i
\(82\) −5.75009 2.09286i −0.634991 0.231118i
\(83\) −6.65930 11.5342i −0.730953 1.26605i −0.956476 0.291809i \(-0.905743\pi\)
0.225524 0.974238i \(-0.427591\pi\)
\(84\) 15.7664 27.3082i 1.72026 2.97957i
\(85\) −0.269572 + 0.226198i −0.0292392 + 0.0245346i
\(86\) −11.5749 + 9.71246i −1.24815 + 1.04732i
\(87\) −4.97418 + 8.61554i −0.533288 + 0.923683i
\(88\) 0.822680 + 1.42492i 0.0876980 + 0.151897i
\(89\) 6.17500 + 2.24752i 0.654549 + 0.238236i 0.647881 0.761741i \(-0.275655\pi\)
0.00666773 + 0.999978i \(0.497878\pi\)
\(90\) 3.15663 17.9022i 0.332738 1.88705i
\(91\) 0.342150 + 1.94043i 0.0358671 + 0.203412i
\(92\) 12.5615 4.57203i 1.30963 0.476667i
\(93\) 0.754252 + 0.632892i 0.0782123 + 0.0656279i
\(94\) 25.2640 2.60578
\(95\) −2.66055 + 3.45275i −0.272966 + 0.354245i
\(96\) −18.5749 −1.89579
\(97\) 9.34414 + 7.84066i 0.948754 + 0.796099i 0.979087 0.203441i \(-0.0652125\pi\)
−0.0303336 + 0.999540i \(0.509657\pi\)
\(98\) −3.52545 + 1.28316i −0.356124 + 0.129618i
\(99\) −0.796200 4.51548i −0.0800211 0.453822i
\(100\) 0.563307 3.19467i 0.0563307 0.319467i
\(101\) 0.545793 + 0.198653i 0.0543085 + 0.0197667i 0.369032 0.929417i \(-0.379689\pi\)
−0.314723 + 0.949184i \(0.601912\pi\)
\(102\) 1.33258 + 2.30810i 0.131945 + 0.228536i
\(103\) 3.23555 5.60414i 0.318809 0.552193i −0.661431 0.750006i \(-0.730051\pi\)
0.980240 + 0.197813i \(0.0633840\pi\)
\(104\) −1.46292 + 1.22753i −0.143451 + 0.120370i
\(105\) −7.44633 + 6.24822i −0.726688 + 0.609763i
\(106\) 4.70199 8.14409i 0.456698 0.791024i
\(107\) −9.18942 15.9165i −0.888374 1.53871i −0.841797 0.539795i \(-0.818502\pi\)
−0.0465776 0.998915i \(-0.514831\pi\)
\(108\) −49.7860 18.1206i −4.79066 1.74366i
\(109\) −0.435803 + 2.47156i −0.0417424 + 0.236733i −0.998540 0.0540230i \(-0.982796\pi\)
0.956797 + 0.290756i \(0.0939067\pi\)
\(110\) −0.229682 1.30259i −0.0218993 0.124197i
\(111\) 25.8136 9.39539i 2.45012 0.891771i
\(112\) −0.0795397 0.0667417i −0.00751579 0.00630650i
\(113\) −11.3386 −1.06665 −0.533325 0.845911i \(-0.679058\pi\)
−0.533325 + 0.845911i \(0.679058\pi\)
\(114\) 22.2535 + 24.3847i 2.08423 + 2.28384i
\(115\) −4.12081 −0.384267
\(116\) 7.47492 + 6.27220i 0.694029 + 0.582359i
\(117\) 5.00083 1.82015i 0.462327 0.168273i
\(118\) 0.242793 + 1.37695i 0.0223509 + 0.126758i
\(119\) 0.179600 1.01856i 0.0164639 0.0933713i
\(120\) −8.85306 3.22225i −0.808170 0.294150i
\(121\) 5.33319 + 9.23735i 0.484835 + 0.839759i
\(122\) −1.17582 + 2.03658i −0.106454 + 0.184383i
\(123\) 6.76997 5.68068i 0.610428 0.512210i
\(124\) 0.739805 0.620770i 0.0664364 0.0557468i
\(125\) −0.500000 + 0.866025i −0.0447214 + 0.0774597i
\(126\) 26.7140 + 46.2700i 2.37987 + 4.12206i
\(127\) −18.0347 6.56408i −1.60032 0.582468i −0.620826 0.783949i \(-0.713203\pi\)
−0.979493 + 0.201480i \(0.935425\pi\)
\(128\) −3.19181 + 18.1017i −0.282119 + 1.59998i
\(129\) −3.78945 21.4911i −0.333643 1.89218i
\(130\) 1.44260 0.525065i 0.126525 0.0460513i
\(131\) −5.24756 4.40322i −0.458481 0.384711i 0.384091 0.923295i \(-0.374515\pi\)
−0.842572 + 0.538584i \(0.818959\pi\)
\(132\) −6.19692 −0.539373
\(133\) −0.532827 12.8002i −0.0462019 1.10991i
\(134\) −7.63916 −0.659923
\(135\) 12.5112 + 10.4982i 1.07680 + 0.903540i
\(136\) 0.941977 0.342852i 0.0807738 0.0293993i
\(137\) 2.29941 + 13.0406i 0.196452 + 1.11413i 0.910336 + 0.413870i \(0.135823\pi\)
−0.713884 + 0.700264i \(0.753066\pi\)
\(138\) −5.41946 + 30.7353i −0.461335 + 2.61636i
\(139\) −2.73439 0.995237i −0.231928 0.0844149i 0.223442 0.974717i \(-0.428271\pi\)
−0.455370 + 0.890302i \(0.650493\pi\)
\(140\) 4.76716 + 8.25695i 0.402898 + 0.697840i
\(141\) −18.2438 + 31.5992i −1.53641 + 2.66114i
\(142\) −23.1990 + 19.4663i −1.94682 + 1.63357i
\(143\) 0.296629 0.248901i 0.0248054 0.0208142i
\(144\) −0.140220 + 0.242868i −0.0116850 + 0.0202390i
\(145\) −1.50400 2.60500i −0.124900 0.216334i
\(146\) −15.3617 5.59121i −1.27134 0.462732i
\(147\) 0.940899 5.33610i 0.0776040 0.440114i
\(148\) −4.67880 26.5348i −0.384595 2.18115i
\(149\) 8.32247 3.02913i 0.681804 0.248156i 0.0221819 0.999754i \(-0.492939\pi\)
0.659622 + 0.751598i \(0.270716\pi\)
\(150\) 5.80173 + 4.86823i 0.473709 + 0.397489i
\(151\) 8.37160 0.681271 0.340636 0.940195i \(-0.389358\pi\)
0.340636 + 0.940195i \(0.389358\pi\)
\(152\) 10.4858 6.65027i 0.850508 0.539408i
\(153\) −2.79348 −0.225839
\(154\) 2.97801 + 2.49884i 0.239975 + 0.201363i
\(155\) −0.279753 + 0.101822i −0.0224703 + 0.00817851i
\(156\) −1.24897 7.08324i −0.0999973 0.567113i
\(157\) −2.75519 + 15.6255i −0.219888 + 1.24705i 0.652331 + 0.757934i \(0.273791\pi\)
−0.872219 + 0.489115i \(0.837320\pi\)
\(158\) −3.31887 1.20797i −0.264035 0.0961008i
\(159\) 6.79088 + 11.7622i 0.538552 + 0.932799i
\(160\) 2.80816 4.86388i 0.222005 0.384524i
\(161\) 9.27793 7.78511i 0.731203 0.613552i
\(162\) 52.9791 44.4548i 4.16243 3.49270i
\(163\) −4.86130 + 8.42002i −0.380766 + 0.659507i −0.991172 0.132582i \(-0.957673\pi\)
0.610406 + 0.792089i \(0.291006\pi\)
\(164\) −4.33415 7.50697i −0.338440 0.586195i
\(165\) 1.79509 + 0.653361i 0.139748 + 0.0508641i
\(166\) 5.29612 30.0358i 0.411059 2.33123i
\(167\) 0.0489947 + 0.277863i 0.00379132 + 0.0215017i 0.986645 0.162887i \(-0.0520806\pi\)
−0.982853 + 0.184389i \(0.940969\pi\)
\(168\) 26.0200 9.47052i 2.00749 0.730666i
\(169\) −9.61429 8.06735i −0.739561 0.620565i
\(170\) −0.805843 −0.0618053
\(171\) −33.7969 + 7.42063i −2.58452 + 0.567470i
\(172\) −21.4046 −1.63208
\(173\) 11.5894 + 9.72470i 0.881129 + 0.739355i 0.966411 0.257002i \(-0.0827346\pi\)
−0.0852817 + 0.996357i \(0.527179\pi\)
\(174\) −21.4075 + 7.79171i −1.62290 + 0.590688i
\(175\) −0.510370 2.89445i −0.0385803 0.218800i
\(176\) −0.00354334 + 0.0200953i −0.000267089 + 0.00151474i
\(177\) −1.89756 0.690657i −0.142630 0.0519129i
\(178\) 7.52403 + 13.0320i 0.563950 + 0.976790i
\(179\) 7.22664 12.5169i 0.540145 0.935558i −0.458751 0.888565i \(-0.651703\pi\)
0.998895 0.0469929i \(-0.0149638\pi\)
\(180\) 19.7266 16.5526i 1.47034 1.23376i
\(181\) −5.33540 + 4.47693i −0.396577 + 0.332768i −0.819169 0.573552i \(-0.805565\pi\)
0.422592 + 0.906320i \(0.361120\pi\)
\(182\) −2.25604 + 3.90757i −0.167229 + 0.289648i
\(183\) −1.69819 2.94135i −0.125534 0.217431i
\(184\) 11.0307 + 4.01483i 0.813192 + 0.295978i
\(185\) −1.44231 + 8.17977i −0.106041 + 0.601388i
\(186\) 0.391527 + 2.22046i 0.0287082 + 0.162812i
\(187\) −0.191000 + 0.0695184i −0.0139673 + 0.00508369i
\(188\) 27.4158 + 23.0046i 1.99950 + 1.67778i
\(189\) −48.0022 −3.49165
\(190\) −9.74950 + 2.14065i −0.707303 + 0.155299i
\(191\) 5.49050 0.397279 0.198639 0.980073i \(-0.436348\pi\)
0.198639 + 0.980073i \(0.436348\pi\)
\(192\) −32.7634 27.4918i −2.36450 1.98405i
\(193\) 6.08625 2.21521i 0.438098 0.159455i −0.113549 0.993532i \(-0.536222\pi\)
0.551647 + 0.834078i \(0.314000\pi\)
\(194\) 4.85048 + 27.5085i 0.348244 + 1.97499i
\(195\) −0.385014 + 2.18352i −0.0275714 + 0.156365i
\(196\) −4.99412 1.81771i −0.356723 0.129837i
\(197\) 4.64727 + 8.04931i 0.331104 + 0.573490i 0.982729 0.185052i \(-0.0592454\pi\)
−0.651624 + 0.758542i \(0.725912\pi\)
\(198\) 5.24991 9.09310i 0.373095 0.646219i
\(199\) −18.6201 + 15.6242i −1.31995 + 1.10757i −0.333630 + 0.942704i \(0.608274\pi\)
−0.986317 + 0.164863i \(0.947282\pi\)
\(200\) 2.18216 1.83105i 0.154302 0.129475i
\(201\) 5.51646 9.55478i 0.389101 0.673942i
\(202\) 0.665031 + 1.15187i 0.0467914 + 0.0810451i
\(203\) 8.30765 + 3.02374i 0.583083 + 0.212225i
\(204\) −0.655601 + 3.71810i −0.0459012 + 0.260319i
\(205\) 0.464012 + 2.63154i 0.0324080 + 0.183795i
\(206\) 13.9250 5.06827i 0.970198 0.353123i
\(207\) −25.0588 21.0269i −1.74171 1.46147i
\(208\) −0.0236836 −0.00164216
\(209\) −2.12615 + 1.34845i −0.147069 + 0.0932739i
\(210\) −22.2596 −1.53606
\(211\) 18.3601 + 15.4060i 1.26396 + 1.06059i 0.995248 + 0.0973716i \(0.0310435\pi\)
0.268715 + 0.963220i \(0.413401\pi\)
\(212\) 12.5182 4.55626i 0.859755 0.312925i
\(213\) −7.59504 43.0736i −0.520404 2.95136i
\(214\) 7.30832 41.4475i 0.499586 2.83330i
\(215\) 6.20038 + 2.25675i 0.422862 + 0.153909i
\(216\) −23.2622 40.2913i −1.58279 2.74147i
\(217\) 0.437495 0.757764i 0.0296991 0.0514403i
\(218\) −4.40254 + 3.69417i −0.298178 + 0.250201i
\(219\) 18.0864 15.1763i 1.22217 1.02552i
\(220\) 0.936855 1.62268i 0.0631627 0.109401i
\(221\) −0.117957 0.204307i −0.00793463 0.0137432i
\(222\) 59.1124 + 21.5152i 3.96736 + 1.44400i
\(223\) 3.57177 20.2565i 0.239183 1.35648i −0.594438 0.804141i \(-0.702626\pi\)
0.833622 0.552336i \(-0.186263\pi\)
\(224\) 2.86640 + 16.2562i 0.191520 + 1.08616i
\(225\) −7.45951 + 2.71504i −0.497301 + 0.181003i
\(226\) −19.8904 16.6901i −1.32309 1.11021i
\(227\) 12.6949 0.842593 0.421297 0.906923i \(-0.361575\pi\)
0.421297 + 0.906923i \(0.361575\pi\)
\(228\) 1.94500 + 46.7250i 0.128811 + 3.09444i
\(229\) 5.76019 0.380644 0.190322 0.981722i \(-0.439047\pi\)
0.190322 + 0.981722i \(0.439047\pi\)
\(230\) −7.22879 6.06568i −0.476652 0.399959i
\(231\) −5.27596 + 1.92029i −0.347133 + 0.126346i
\(232\) 1.48793 + 8.43845i 0.0976872 + 0.554012i
\(233\) −0.482485 + 2.73631i −0.0316087 + 0.179262i −0.996525 0.0832967i \(-0.973455\pi\)
0.964916 + 0.262558i \(0.0845662\pi\)
\(234\) 11.4517 + 4.16810i 0.748624 + 0.272477i
\(235\) −5.51623 9.55439i −0.359839 0.623260i
\(236\) −0.990333 + 1.71531i −0.0644652 + 0.111657i
\(237\) 3.90753 3.27881i 0.253821 0.212981i
\(238\) 1.81434 1.52241i 0.117606 0.0986834i
\(239\) −9.72936 + 16.8518i −0.629340 + 1.09005i 0.358344 + 0.933590i \(0.383341\pi\)
−0.987684 + 0.156460i \(0.949992\pi\)
\(240\) −0.0584197 0.101186i −0.00377097 0.00653152i
\(241\) 6.80304 + 2.47610i 0.438222 + 0.159500i 0.551704 0.834040i \(-0.313978\pi\)
−0.113481 + 0.993540i \(0.536200\pi\)
\(242\) −4.24147 + 24.0546i −0.272652 + 1.54629i
\(243\) 8.83644 + 50.1140i 0.566858 + 3.21481i
\(244\) −3.13042 + 1.13938i −0.200404 + 0.0729412i
\(245\) 1.25503 + 1.05309i 0.0801807 + 0.0672796i
\(246\) 20.2378 1.29031
\(247\) −1.96983 2.15847i −0.125337 0.137340i
\(248\) 0.848051 0.0538513
\(249\) 33.7432 + 28.3139i 2.13839 + 1.79432i
\(250\) −2.15187 + 0.783215i −0.136096 + 0.0495349i
\(251\) 2.57969 + 14.6301i 0.162829 + 0.923446i 0.951275 + 0.308343i \(0.0997745\pi\)
−0.788447 + 0.615103i \(0.789114\pi\)
\(252\) −13.1427 + 74.5359i −0.827911 + 4.69532i
\(253\) −2.23664 0.814070i −0.140616 0.0511801i
\(254\) −21.9746 38.0612i −1.37881 2.38817i
\(255\) 0.581922 1.00792i 0.0364414 0.0631183i
\(256\) −12.4313 + 10.4311i −0.776958 + 0.651946i
\(257\) 15.1338 12.6988i 0.944021 0.792128i −0.0342591 0.999413i \(-0.510907\pi\)
0.978281 + 0.207285i \(0.0664627\pi\)
\(258\) 24.9865 43.2779i 1.55559 2.69436i
\(259\) −12.2060 21.1414i −0.758445 1.31367i
\(260\) 2.04358 + 0.743804i 0.126738 + 0.0461288i
\(261\) 4.14641 23.5155i 0.256657 1.45557i
\(262\) −2.72397 15.4484i −0.168288 0.954407i
\(263\) −11.1365 + 4.05337i −0.686709 + 0.249942i −0.661725 0.749746i \(-0.730176\pi\)
−0.0249835 + 0.999688i \(0.507953\pi\)
\(264\) −4.16859 3.49786i −0.256559 0.215278i
\(265\) −4.10660 −0.252266
\(266\) 17.9067 23.2386i 1.09793 1.42485i
\(267\) −21.7333 −1.33005
\(268\) −8.28982 6.95598i −0.506381 0.424904i
\(269\) 10.2199 3.71975i 0.623120 0.226797i −0.0111138 0.999938i \(-0.503538\pi\)
0.634234 + 0.773141i \(0.281315\pi\)
\(270\) 6.49451 + 36.8322i 0.395243 + 2.24154i
\(271\) −1.01974 + 5.78324i −0.0619448 + 0.351307i 0.938044 + 0.346517i \(0.112636\pi\)
−0.999989 + 0.00478962i \(0.998475\pi\)
\(272\) 0.0116821 + 0.00425195i 0.000708333 + 0.000257812i
\(273\) −3.25830 5.64353i −0.197201 0.341562i
\(274\) −15.1616 + 26.2607i −0.915947 + 1.58647i
\(275\) −0.442468 + 0.371274i −0.0266818 + 0.0223887i
\(276\) −33.8676 + 28.4183i −2.03859 + 1.71058i
\(277\) 11.9064 20.6224i 0.715385 1.23908i −0.247426 0.968907i \(-0.579585\pi\)
0.962811 0.270176i \(-0.0870819\pi\)
\(278\) −3.33176 5.77079i −0.199826 0.346109i
\(279\) −2.22075 0.808285i −0.132953 0.0483908i
\(280\) −1.45385 + 8.24517i −0.0868839 + 0.492743i
\(281\) −1.23971 7.03074i −0.0739549 0.419419i −0.999198 0.0400440i \(-0.987250\pi\)
0.925243 0.379375i \(-0.123861\pi\)
\(282\) −78.5166 + 28.5777i −4.67559 + 1.70178i
\(283\) 20.4796 + 17.1844i 1.21739 + 1.02151i 0.998957 + 0.0456547i \(0.0145374\pi\)
0.218428 + 0.975853i \(0.429907\pi\)
\(284\) −42.9003 −2.54567
\(285\) 4.36294 13.7401i 0.258439 0.813896i
\(286\) 0.886725 0.0524332
\(287\) −6.01628 5.04825i −0.355130 0.297989i
\(288\) 41.8951 15.2486i 2.46869 0.898530i
\(289\) −2.93052 16.6198i −0.172383 0.977634i
\(290\) 1.19613 6.78358i 0.0702390 0.398345i
\(291\) −37.9092 13.7978i −2.22228 0.808843i
\(292\) −11.5789 20.0553i −0.677607 1.17365i
\(293\) −0.536685 + 0.929566i −0.0313535 + 0.0543058i −0.881276 0.472601i \(-0.843315\pi\)
0.849923 + 0.526907i \(0.176648\pi\)
\(294\) 9.50508 7.97571i 0.554348 0.465153i
\(295\) 0.467725 0.392468i 0.0272320 0.0228504i
\(296\) 11.8302 20.4906i 0.687618 1.19099i
\(297\) 4.71676 + 8.16967i 0.273694 + 0.474053i
\(298\) 19.0582 + 6.93662i 1.10401 + 0.401827i
\(299\) 0.479716 2.72061i 0.0277427 0.157337i
\(300\) 1.86303 + 10.5657i 0.107562 + 0.610013i
\(301\) −18.2235 + 6.63283i −1.05039 + 0.382310i
\(302\) 14.6856 + 12.3227i 0.845062 + 0.709091i
\(303\) −1.92095 −0.110356
\(304\) 0.152631 + 0.0204097i 0.00875400 + 0.00117058i
\(305\) 1.02693 0.0588020
\(306\) −4.90037 4.11190i −0.280135 0.235062i
\(307\) 24.4039 8.88231i 1.39281 0.506940i 0.466772 0.884378i \(-0.345417\pi\)
0.926035 + 0.377438i \(0.123195\pi\)
\(308\) 0.956284 + 5.42336i 0.0544894 + 0.309025i
\(309\) −3.71640 + 21.0768i −0.211419 + 1.19901i
\(310\) −0.640625 0.233168i −0.0363850 0.0132431i
\(311\) −9.52546 16.4986i −0.540139 0.935548i −0.998896 0.0469862i \(-0.985038\pi\)
0.458756 0.888562i \(-0.348295\pi\)
\(312\) 3.15798 5.46978i 0.178785 0.309666i
\(313\) −11.7965 + 9.89844i −0.666777 + 0.559493i −0.912110 0.409946i \(-0.865547\pi\)
0.245332 + 0.969439i \(0.421103\pi\)
\(314\) −27.8333 + 23.3549i −1.57073 + 1.31800i
\(315\) 11.6657 20.2055i 0.657285 1.13845i
\(316\) −2.50161 4.33291i −0.140726 0.243745i
\(317\) −24.0001 8.73532i −1.34798 0.490624i −0.435663 0.900110i \(-0.643486\pi\)
−0.912317 + 0.409485i \(0.865708\pi\)
\(318\) −5.40077 + 30.6293i −0.302860 + 1.71761i
\(319\) −0.301700 1.71103i −0.0168920 0.0957991i
\(320\) 12.1520 4.42296i 0.679316 0.247251i
\(321\) 46.5635 + 39.0714i 2.59892 + 2.18075i
\(322\) 27.7349 1.54560
\(323\) 0.584120 + 1.41833i 0.0325013 + 0.0789180i
\(324\) 97.9707 5.44282
\(325\) −0.513554 0.430923i −0.0284868 0.0239033i
\(326\) −20.9217 + 7.61489i −1.15875 + 0.421750i
\(327\) −1.44133 8.17420i −0.0797058 0.452034i
\(328\) 1.32179 7.49625i 0.0729837 0.413911i
\(329\) 30.4700 + 11.0902i 1.67987 + 0.611421i
\(330\) 2.18726 + 3.78845i 0.120405 + 0.208547i
\(331\) −2.26589 + 3.92464i −0.124545 + 0.215718i −0.921555 0.388248i \(-0.873080\pi\)
0.797010 + 0.603966i \(0.206414\pi\)
\(332\) 33.0969 27.7716i 1.81643 1.52416i
\(333\) −50.5089 + 42.3820i −2.76787 + 2.32252i
\(334\) −0.323056 + 0.559550i −0.0176768 + 0.0306172i
\(335\) 1.66796 + 2.88900i 0.0911305 + 0.157843i
\(336\) 0.322693 + 0.117451i 0.0176043 + 0.00640746i
\(337\) 3.53193 20.0306i 0.192397 1.09114i −0.723681 0.690135i \(-0.757551\pi\)
0.916078 0.401001i \(-0.131338\pi\)
\(338\) −4.99072 28.3038i −0.271459 1.53952i
\(339\) 35.2388 12.8259i 1.91391 0.696605i
\(340\) −0.874479 0.733775i −0.0474253 0.0397945i
\(341\) −0.171955 −0.00931191
\(342\) −70.2101 36.7305i −3.79653 1.98616i
\(343\) 15.7585 0.850880
\(344\) −14.3986 12.0819i −0.776320 0.651410i
\(345\) 12.8068 4.66131i 0.689497 0.250956i
\(346\) 6.01601 + 34.1185i 0.323423 + 1.83422i
\(347\) 4.73475 26.8521i 0.254175 1.44150i −0.544008 0.839080i \(-0.683094\pi\)
0.798182 0.602416i \(-0.205795\pi\)
\(348\) −30.3258 11.0377i −1.62563 0.591682i
\(349\) −6.31115 10.9312i −0.337828 0.585135i 0.646196 0.763171i \(-0.276359\pi\)
−0.984024 + 0.178036i \(0.943026\pi\)
\(350\) 3.36522 5.82874i 0.179879 0.311559i
\(351\) −8.38750 + 7.03795i −0.447692 + 0.375658i
\(352\) 2.48504 2.08520i 0.132453 0.111142i
\(353\) −15.3996 + 26.6728i −0.819636 + 1.41965i 0.0863140 + 0.996268i \(0.472491\pi\)
−0.905950 + 0.423384i \(0.860842\pi\)
\(354\) −2.31212 4.00471i −0.122888 0.212848i
\(355\) 12.4272 + 4.52312i 0.659565 + 0.240062i
\(356\) −3.70166 + 20.9931i −0.196187 + 1.11263i
\(357\) 0.593991 + 3.36869i 0.0314373 + 0.178290i
\(358\) 31.1015 11.3200i 1.64377 0.598282i
\(359\) −13.2039 11.0794i −0.696877 0.584749i 0.224007 0.974588i \(-0.428086\pi\)
−0.920883 + 0.389839i \(0.872531\pi\)
\(360\) 22.6130 1.19181
\(361\) 10.8347 + 15.6080i 0.570245 + 0.821475i
\(362\) −15.9493 −0.838278
\(363\) −27.0237 22.6756i −1.41838 1.19016i
\(364\) −6.00630 + 2.18612i −0.314816 + 0.114584i
\(365\) 1.23964 + 7.03033i 0.0648856 + 0.367984i
\(366\) 1.35056 7.65943i 0.0705951 0.400365i
\(367\) 28.2788 + 10.2927i 1.47614 + 0.537272i 0.949761 0.312975i \(-0.101326\pi\)
0.526383 + 0.850248i \(0.323548\pi\)
\(368\) 0.0727893 + 0.126075i 0.00379440 + 0.00657210i
\(369\) −10.6061 + 18.3702i −0.552129 + 0.956315i
\(370\) −14.5704 + 12.2261i −0.757481 + 0.635602i
\(371\) 9.24594 7.75826i 0.480025 0.402789i
\(372\) −1.59701 + 2.76610i −0.0828010 + 0.143416i
\(373\) 3.06676 + 5.31178i 0.158791 + 0.275034i 0.934433 0.356139i \(-0.115907\pi\)
−0.775642 + 0.631173i \(0.782574\pi\)
\(374\) −0.437385 0.159195i −0.0226166 0.00823178i
\(375\) 0.574307 3.25706i 0.0296571 0.168194i
\(376\) 5.45728 + 30.9498i 0.281438 + 1.59611i
\(377\) 1.89494 0.689702i 0.0975944 0.0355215i
\(378\) −84.2063 70.6575i −4.33110 3.63423i
\(379\) 30.8958 1.58701 0.793505 0.608564i \(-0.208254\pi\)
0.793505 + 0.608564i \(0.208254\pi\)
\(380\) −12.5291 6.55461i −0.642730 0.336245i
\(381\) 63.4741 3.25187
\(382\) 9.63153 + 8.08181i 0.492792 + 0.413501i
\(383\) −4.37066 + 1.59079i −0.223330 + 0.0812855i −0.451262 0.892392i \(-0.649026\pi\)
0.227932 + 0.973677i \(0.426804\pi\)
\(384\) −10.5563 59.8677i −0.538698 3.05511i
\(385\) 0.294790 1.67184i 0.0150239 0.0852047i
\(386\) 13.9373 + 5.07277i 0.709391 + 0.258197i
\(387\) 26.1895 + 45.3615i 1.33129 + 2.30586i
\(388\) −19.7847 + 34.2681i −1.00442 + 1.73970i
\(389\) −12.3923 + 10.3984i −0.628315 + 0.527219i −0.900405 0.435053i \(-0.856730\pi\)
0.272090 + 0.962272i \(0.412285\pi\)
\(390\) −3.88946 + 3.26364i −0.196950 + 0.165261i
\(391\) −0.725059 + 1.25584i −0.0366678 + 0.0635105i
\(392\) −2.33347 4.04169i −0.117858 0.204136i
\(393\) 21.2894 + 7.74870i 1.07391 + 0.390870i
\(394\) −3.69596 + 20.9609i −0.186200 + 1.05599i
\(395\) 0.267821 + 1.51889i 0.0134755 + 0.0764236i
\(396\) 13.9770 5.08720i 0.702368 0.255641i
\(397\) −7.61069 6.38613i −0.381970 0.320511i 0.431506 0.902110i \(-0.357983\pi\)
−0.813475 + 0.581600i \(0.802427\pi\)
\(398\) −55.6619 −2.79008
\(399\) 16.1350 + 39.1782i 0.807762 + 1.96137i
\(400\) 0.0353277 0.00176638
\(401\) −9.90801 8.31381i −0.494783 0.415172i 0.360954 0.932584i \(-0.382451\pi\)
−0.855737 + 0.517412i \(0.826896\pi\)
\(402\) 23.7413 8.64114i 1.18411 0.430981i
\(403\) −0.0346570 0.196550i −0.00172639 0.00979083i
\(404\) −0.327180 + 1.85553i −0.0162778 + 0.0923162i
\(405\) −28.3797 10.3294i −1.41020 0.513270i
\(406\) 10.1226 + 17.5329i 0.502376 + 0.870141i
\(407\) −2.39876 + 4.15478i −0.118902 + 0.205945i
\(408\) −2.53970 + 2.13106i −0.125734 + 0.105503i
\(409\) −4.78036 + 4.01120i −0.236373 + 0.198341i −0.753278 0.657702i \(-0.771529\pi\)
0.516905 + 0.856043i \(0.327084\pi\)
\(410\) −3.05956 + 5.29931i −0.151101 + 0.261714i
\(411\) −21.8973 37.9272i −1.08011 1.87081i
\(412\) 19.7260 + 7.17968i 0.971830 + 0.353717i
\(413\) −0.311617 + 1.76727i −0.0153337 + 0.0869616i
\(414\) −13.0079 73.7714i −0.639302 3.62566i
\(415\) −12.5154 + 4.55523i −0.614356 + 0.223607i
\(416\) 2.88429 + 2.42020i 0.141414 + 0.118660i
\(417\) 9.62385 0.471282
\(418\) −5.71459 0.764149i −0.279510 0.0373758i
\(419\) −30.5403 −1.49199 −0.745995 0.665951i \(-0.768026\pi\)
−0.745995 + 0.665951i \(0.768026\pi\)
\(420\) −24.1556 20.2689i −1.17867 0.989022i
\(421\) −34.3641 + 12.5075i −1.67480 + 0.609578i −0.992583 0.121569i \(-0.961207\pi\)
−0.682219 + 0.731148i \(0.738985\pi\)
\(422\) 9.53063 + 54.0509i 0.463944 + 2.63115i
\(423\) 15.2078 86.2478i 0.739430 4.19351i
\(424\) 10.9926 + 4.00099i 0.533850 + 0.194305i
\(425\) 0.175951 + 0.304755i 0.00853486 + 0.0147828i
\(426\) 50.0794 86.7401i 2.42636 4.20257i
\(427\) −2.31212 + 1.94010i −0.111891 + 0.0938880i
\(428\) 45.6716 38.3230i 2.20762 1.85241i
\(429\) −0.640329 + 1.10908i −0.0309154 + 0.0535470i
\(430\) 7.55495 + 13.0856i 0.364332 + 0.631042i
\(431\) −22.4618 8.17542i −1.08195 0.393796i −0.261314 0.965254i \(-0.584156\pi\)
−0.820631 + 0.571458i \(0.806378\pi\)
\(432\) 0.100192 0.568216i 0.00482048 0.0273383i
\(433\) −2.54471 14.4318i −0.122291 0.693547i −0.982880 0.184247i \(-0.941015\pi\)
0.860589 0.509300i \(-0.170096\pi\)
\(434\) 1.88286 0.685305i 0.0903802 0.0328957i
\(435\) 7.62089 + 6.39469i 0.365394 + 0.306602i
\(436\) −8.14132 −0.389898
\(437\) −5.43611 + 17.1198i −0.260044 + 0.818953i
\(438\) 54.0664 2.58339
\(439\) −13.0414 10.9430i −0.622433 0.522283i 0.276134 0.961119i \(-0.410947\pi\)
−0.898567 + 0.438836i \(0.855391\pi\)
\(440\) 1.54613 0.562747i 0.0737090 0.0268279i
\(441\) 2.25836 + 12.8078i 0.107541 + 0.609896i
\(442\) 0.0938107 0.532027i 0.00446212 0.0253059i
\(443\) 33.8207 + 12.3097i 1.60687 + 0.584854i 0.980818 0.194926i \(-0.0624467\pi\)
0.626054 + 0.779780i \(0.284669\pi\)
\(444\) 44.5562 + 77.1736i 2.11454 + 3.66250i
\(445\) 3.28565 5.69091i 0.155755 0.269775i
\(446\) 36.0825 30.2768i 1.70856 1.43365i
\(447\) −22.4385 + 18.8282i −1.06131 + 0.890542i
\(448\) −19.0040 + 32.9160i −0.897856 + 1.55513i
\(449\) −1.77883 3.08102i −0.0839481 0.145402i 0.820994 0.570936i \(-0.193420\pi\)
−0.904942 + 0.425534i \(0.860086\pi\)
\(450\) −17.0820 6.21735i −0.805255 0.293089i
\(451\) −0.268014 + 1.51998i −0.0126203 + 0.0715731i
\(452\) −6.38713 36.2232i −0.300425 1.70380i
\(453\) −26.0177 + 9.46966i −1.22242 + 0.444923i
\(454\) 22.2697 + 18.6865i 1.04517 + 0.877001i
\(455\) 1.97037 0.0923721
\(456\) −25.0656 + 32.5292i −1.17380 + 1.52332i
\(457\) −4.61695 −0.215972 −0.107986 0.994152i \(-0.534440\pi\)
−0.107986 + 0.994152i \(0.534440\pi\)
\(458\) 10.1046 + 8.47879i 0.472158 + 0.396188i
\(459\) 5.40074 1.96571i 0.252085 0.0917514i
\(460\) −2.32128 13.1646i −0.108230 0.613804i
\(461\) −5.06596 + 28.7305i −0.235945 + 1.33811i 0.604669 + 0.796477i \(0.293305\pi\)
−0.840614 + 0.541634i \(0.817806\pi\)
\(462\) −12.0818 4.39741i −0.562096 0.204586i
\(463\) 8.81888 + 15.2747i 0.409848 + 0.709877i 0.994872 0.101138i \(-0.0322484\pi\)
−0.585024 + 0.811016i \(0.698915\pi\)
\(464\) −0.0531328 + 0.0920288i −0.00246663 + 0.00427233i
\(465\) 0.754252 0.632892i 0.0349776 0.0293497i
\(466\) −4.87413 + 4.08988i −0.225790 + 0.189460i
\(467\) −8.47175 + 14.6735i −0.392026 + 0.679009i −0.992717 0.120473i \(-0.961559\pi\)
0.600691 + 0.799482i \(0.294892\pi\)
\(468\) 8.63180 + 14.9507i 0.399005 + 0.691097i
\(469\) −9.21333 3.35338i −0.425432 0.154845i
\(470\) 4.38704 24.8802i 0.202359 1.14764i
\(471\) −9.11226 51.6782i −0.419871 2.38120i
\(472\) −1.63439 + 0.594870i −0.0752290 + 0.0273811i
\(473\) 2.91954 + 2.44978i 0.134240 + 0.112641i
\(474\) 11.6809 0.536523
\(475\) 2.93830 + 3.21969i 0.134818 + 0.147730i
\(476\) 3.35514 0.153782
\(477\) −24.9724 20.9544i −1.14341 0.959434i
\(478\) −41.8726 + 15.2404i −1.91521 + 0.697078i
\(479\) −2.51117 14.2416i −0.114738 0.650714i −0.986879 0.161459i \(-0.948380\pi\)
0.872141 0.489255i \(-0.162731\pi\)
\(480\) −3.22550 + 18.2927i −0.147223 + 0.834944i
\(481\) −5.23248 1.90447i −0.238580 0.0868362i
\(482\) 8.28927 + 14.3574i 0.377566 + 0.653964i
\(483\) −20.0282 + 34.6898i −0.911312 + 1.57844i
\(484\) −26.5061 + 22.2412i −1.20482 + 1.01097i
\(485\) 9.34414 7.84066i 0.424296 0.356026i
\(486\) −58.2649 + 100.918i −2.64295 + 4.57772i
\(487\) 0.165966 + 0.287462i 0.00752064 + 0.0130261i 0.869761 0.493473i \(-0.164273\pi\)
−0.862241 + 0.506499i \(0.830939\pi\)
\(488\) −2.74891 1.00052i −0.124437 0.0452915i
\(489\) 5.58376 31.6671i 0.252506 1.43203i
\(490\) 0.651476 + 3.69470i 0.0294307 + 0.166910i
\(491\) 3.14034 1.14299i 0.141721 0.0515824i −0.270186 0.962808i \(-0.587085\pi\)
0.411907 + 0.911226i \(0.364863\pi\)
\(492\) 21.9615 + 18.4279i 0.990100 + 0.830792i
\(493\) −1.05852 −0.0476733
\(494\) −0.278313 6.68594i −0.0125219 0.300815i
\(495\) −4.58513 −0.206086
\(496\) 0.00805671 + 0.00676038i 0.000361757 + 0.000303550i
\(497\) −36.5247 + 13.2939i −1.63836 + 0.596313i
\(498\) 17.5159 + 99.3375i 0.784905 + 4.45142i
\(499\) −2.44695 + 13.8773i −0.109540 + 0.621235i 0.879769 + 0.475402i \(0.157697\pi\)
−0.989309 + 0.145833i \(0.953414\pi\)
\(500\) −3.04832 1.10950i −0.136325 0.0496182i
\(501\) −0.466576 0.808133i −0.0208451 0.0361047i
\(502\) −17.0097 + 29.4617i −0.759180 + 1.31494i
\(503\) −2.83896 + 2.38217i −0.126583 + 0.106216i −0.703881 0.710318i \(-0.748551\pi\)
0.577299 + 0.816533i \(0.304107\pi\)
\(504\) −50.9128 + 42.7209i −2.26784 + 1.90294i
\(505\) 0.290411 0.503006i 0.0129231 0.0223835i
\(506\) −2.72527 4.72030i −0.121153 0.209843i
\(507\) 39.0052 + 14.1967i 1.73228 + 0.630500i
\(508\) 10.8110 61.3124i 0.479662 2.72030i
\(509\) 6.13731 + 34.8064i 0.272032 + 1.54277i 0.748236 + 0.663433i \(0.230901\pi\)
−0.476204 + 0.879335i \(0.657988\pi\)
\(510\) 2.50444 0.911540i 0.110898 0.0403637i
\(511\) −16.0729 13.4867i −0.711021 0.596618i
\(512\) −0.399682 −0.0176636
\(513\) 60.1192 38.1287i 2.65433 1.68342i
\(514\) 45.2401 1.99546
\(515\) −4.95716 4.15955i −0.218438 0.183292i
\(516\) 66.5222 24.2121i 2.92848 1.06588i
\(517\) −1.10655 6.27554i −0.0486659 0.275998i
\(518\) 9.70742 55.0535i 0.426520 2.41891i
\(519\) −47.0185 17.1133i −2.06388 0.751191i
\(520\) 0.954851 + 1.65385i 0.0418730 + 0.0725261i
\(521\) −2.52454 + 4.37264i −0.110602 + 0.191569i −0.916013 0.401148i \(-0.868611\pi\)
0.805411 + 0.592717i \(0.201945\pi\)
\(522\) 41.8876 35.1479i 1.83337 1.53838i
\(523\) 17.8994 15.0194i 0.782686 0.656752i −0.161238 0.986916i \(-0.551549\pi\)
0.943924 + 0.330164i \(0.107104\pi\)
\(524\) 11.1109 19.2446i 0.485380 0.840704i
\(525\) 4.86025 + 8.41820i 0.212119 + 0.367400i
\(526\) −25.5023 9.28209i −1.11195 0.404718i
\(527\) −0.0181920 + 0.103172i −0.000792454 + 0.00449423i
\(528\) −0.0117189 0.0664612i −0.000510000 0.00289235i
\(529\) 5.65596 2.05860i 0.245911 0.0895043i
\(530\) −7.20387 6.04476i −0.312916 0.262568i
\(531\) 4.84687 0.210336
\(532\) 40.5922 8.91262i 1.75989 0.386411i
\(533\) −1.79139 −0.0775939
\(534\) −38.1249 31.9906i −1.64982 1.38437i
\(535\) −17.2705 + 6.28593i −0.746667 + 0.271764i
\(536\) −1.65014 9.35839i −0.0712751 0.404221i
\(537\) −8.30062 + 47.0752i −0.358198 + 2.03144i
\(538\) 23.4033 + 8.51811i 1.00899 + 0.367242i
\(539\) 0.473147 + 0.819515i 0.0203799 + 0.0352990i
\(540\) −26.4906 + 45.8830i −1.13997 + 1.97449i
\(541\) 24.3992 20.4734i 1.04900 0.880219i 0.0560152 0.998430i \(-0.482160\pi\)
0.992988 + 0.118211i \(0.0377160\pi\)
\(542\) −10.3016 + 8.64403i −0.442490 + 0.371293i
\(543\) 11.5175 19.9488i 0.494262 0.856086i
\(544\) −0.988197 1.71161i −0.0423686 0.0733845i
\(545\) 2.35834 + 0.858364i 0.101020 + 0.0367683i
\(546\) 2.59131 14.6961i 0.110898 0.628934i
\(547\) 5.15875 + 29.2567i 0.220572 + 1.25093i 0.870971 + 0.491334i \(0.163490\pi\)
−0.650399 + 0.759593i \(0.725398\pi\)
\(548\) −40.3651 + 14.6917i −1.72431 + 0.627599i
\(549\) 6.24483 + 5.24003i 0.266523 + 0.223639i
\(550\) −1.32269 −0.0563996
\(551\) −12.8065 + 2.81186i −0.545576 + 0.119789i
\(552\) −38.8231 −1.65242
\(553\) −3.47251 2.91378i −0.147666 0.123906i
\(554\) 51.2418 18.6505i 2.17706 0.792384i
\(555\) −4.77017 27.0530i −0.202482 1.14833i
\(556\) 1.63915 9.29611i 0.0695156 0.394243i
\(557\) 20.3389 + 7.40274i 0.861785 + 0.313664i 0.734836 0.678245i \(-0.237259\pi\)
0.126950 + 0.991909i \(0.459481\pi\)
\(558\) −2.70590 4.68676i −0.114550 0.198407i
\(559\) −2.21174 + 3.83085i −0.0935467 + 0.162028i
\(560\) −0.0795397 + 0.0667417i −0.00336116 + 0.00282035i
\(561\) 0.514963 0.432105i 0.0217418 0.0182435i
\(562\) 8.17427 14.1583i 0.344811 0.597230i
\(563\) 2.96419 + 5.13413i 0.124926 + 0.216378i 0.921704 0.387894i \(-0.126797\pi\)
−0.796778 + 0.604272i \(0.793464\pi\)
\(564\) −111.226 40.4830i −4.68346 1.70464i
\(565\) −1.96893 + 11.1664i −0.0828337 + 0.469773i
\(566\) 10.6308 + 60.2904i 0.446847 + 2.53420i
\(567\) 83.4107 30.3590i 3.50292 1.27496i
\(568\) −28.8585 24.2151i −1.21088 1.01605i
\(569\) −5.27877 −0.221297 −0.110649 0.993860i \(-0.535293\pi\)
−0.110649 + 0.993860i \(0.535293\pi\)
\(570\) 27.8785 17.6811i 1.16770 0.740580i
\(571\) 16.5322 0.691852 0.345926 0.938262i \(-0.387565\pi\)
0.345926 + 0.938262i \(0.387565\pi\)
\(572\) 0.962251 + 0.807424i 0.0402337 + 0.0337601i
\(573\) −17.0636 + 6.21065i −0.712843 + 0.259454i
\(574\) −3.12301 17.7115i −0.130352 0.739263i
\(575\) −0.715571 + 4.05820i −0.0298414 + 0.169239i
\(576\) 96.4654 + 35.1105i 4.01939 + 1.46294i
\(577\) −18.1317 31.4050i −0.754832 1.30741i −0.945458 0.325745i \(-0.894385\pi\)
0.190625 0.981663i \(-0.438948\pi\)
\(578\) 19.3229 33.4683i 0.803728 1.39210i
\(579\) −16.4094 + 13.7691i −0.681950 + 0.572224i
\(580\) 7.47492 6.27220i 0.310379 0.260439i
\(581\) 19.5723 33.9003i 0.811998 1.40642i
\(582\) −46.1911 80.0054i −1.91468 3.31633i
\(583\) −2.22893 0.811263i −0.0923127 0.0335991i
\(584\) 3.53125 20.0267i 0.146124 0.828711i
\(585\) −0.924117 5.24093i −0.0382075 0.216686i
\(586\) −2.30975 + 0.840680i −0.0954148 + 0.0347282i
\(587\) −20.4165 17.1315i −0.842680 0.707093i 0.115485 0.993309i \(-0.463158\pi\)
−0.958165 + 0.286217i \(0.907602\pi\)
\(588\) 17.5771 0.724867
\(589\) 0.0539709 + 1.29655i 0.00222383 + 0.0534234i
\(590\) 1.39819 0.0575626
\(591\) −23.5481 19.7592i −0.968640 0.812785i
\(592\) 0.275734 0.100359i 0.0113326 0.00412473i
\(593\) −4.80721 27.2630i −0.197408 1.11956i −0.908947 0.416911i \(-0.863113\pi\)
0.711539 0.702647i \(-0.247999\pi\)
\(594\) −3.75123 + 21.2743i −0.153915 + 0.872895i
\(595\) −0.971899 0.353742i −0.0398440 0.0145020i
\(596\) 14.3652 + 24.8812i 0.588421 + 1.01918i
\(597\) 40.1951 69.6199i 1.64507 2.84935i
\(598\) 4.84616 4.06641i 0.198174 0.166288i
\(599\) −26.3171 + 22.0826i −1.07529 + 0.902272i −0.995521 0.0945415i \(-0.969862\pi\)
−0.0797652 + 0.996814i \(0.525417\pi\)
\(600\) −4.71061 + 8.15902i −0.192310 + 0.333091i
\(601\) −8.44516 14.6274i −0.344485 0.596666i 0.640775 0.767729i \(-0.278613\pi\)
−0.985260 + 0.171063i \(0.945280\pi\)
\(602\) −41.7313 15.1890i −1.70084 0.619056i
\(603\) −4.59845 + 26.0791i −0.187263 + 1.06202i
\(604\) 4.71578 + 26.7445i 0.191882 + 1.08822i
\(605\) 10.0231 3.64812i 0.407498 0.148317i
\(606\) −3.36977 2.82757i −0.136887 0.114862i
\(607\) −4.71187 −0.191249 −0.0956245 0.995417i \(-0.530485\pi\)
−0.0956245 + 0.995417i \(0.530485\pi\)
\(608\) −16.5024 18.0828i −0.669262 0.733356i
\(609\) −29.2393 −1.18483
\(610\) 1.80146 + 1.51161i 0.0729391 + 0.0612031i
\(611\) 6.95008 2.52962i 0.281170 0.102338i
\(612\) −1.57359 8.92424i −0.0636084 0.360741i
\(613\) −7.12765 + 40.4229i −0.287883 + 1.63267i 0.406919 + 0.913464i \(0.366603\pi\)
−0.694802 + 0.719201i \(0.744508\pi\)
\(614\) 55.8842 + 20.3402i 2.25530 + 0.820864i
\(615\) −4.41879 7.65356i −0.178183 0.308621i
\(616\) −2.41794 + 4.18800i −0.0974216 + 0.168739i
\(617\) −4.96251 + 4.16404i −0.199783 + 0.167638i −0.737191 0.675685i \(-0.763848\pi\)
0.537408 + 0.843323i \(0.319404\pi\)
\(618\) −37.5436 + 31.5028i −1.51022 + 1.26723i
\(619\) 18.3222 31.7349i 0.736429 1.27553i −0.217664 0.976024i \(-0.569844\pi\)
0.954093 0.299509i \(-0.0968230\pi\)
\(620\) −0.482873 0.836361i −0.0193927 0.0335891i
\(621\) 63.2433 + 23.0187i 2.53787 + 0.923708i
\(622\) 7.57557 42.9632i 0.303753 1.72267i
\(623\) 3.35379 + 19.0203i 0.134367 + 0.762032i
\(624\) 0.0736049 0.0267900i 0.00294656 0.00107246i
\(625\) 0.766044 + 0.642788i 0.0306418 + 0.0257115i
\(626\) −35.2637 −1.40942
\(627\) 5.08244 6.59579i 0.202973 0.263410i
\(628\) −51.4703 −2.05389
\(629\) 2.23905 + 1.87879i 0.0892769 + 0.0749122i
\(630\) 50.2059 18.2734i 2.00025 0.728031i
\(631\) −2.62539 14.8893i −0.104515 0.592734i −0.991413 0.130769i \(-0.958256\pi\)
0.886898 0.461965i \(-0.152856\pi\)
\(632\) 0.762919 4.32673i 0.0303473 0.172108i
\(633\) −74.4872 27.1111i −2.96060 1.07757i
\(634\) −29.2433 50.6509i −1.16140 2.01160i
\(635\) −9.59605 + 16.6208i −0.380808 + 0.659578i
\(636\) −33.7509 + 28.3203i −1.33831 + 1.12297i
\(637\) −0.841366 + 0.705990i −0.0333361 + 0.0279723i
\(638\) 1.98932 3.44561i 0.0787580 0.136413i
\(639\) 52.4905 + 90.9162i 2.07649 + 3.59659i
\(640\) 17.2724 + 6.28664i 0.682752 + 0.248501i
\(641\) −1.83609 + 10.4130i −0.0725210 + 0.411287i 0.926837 + 0.375464i \(0.122517\pi\)
−0.999358 + 0.0358234i \(0.988595\pi\)
\(642\) 24.1708 + 137.080i 0.953946 + 5.41010i
\(643\) 3.28323 1.19500i 0.129478 0.0471261i −0.276469 0.961023i \(-0.589164\pi\)
0.405946 + 0.913897i \(0.366942\pi\)
\(644\) 30.0972 + 25.2545i 1.18599 + 0.995168i
\(645\) −21.8226 −0.859263
\(646\) −1.06306 + 3.34786i −0.0418254 + 0.131720i
\(647\) 21.5689 0.847961 0.423981 0.905671i \(-0.360632\pi\)
0.423981 + 0.905671i \(0.360632\pi\)
\(648\) 65.9036 + 55.2997i 2.58894 + 2.17238i
\(649\) 0.331398 0.120619i 0.0130085 0.00473471i
\(650\) −0.266583 1.51186i −0.0104562 0.0593002i
\(651\) −0.502513 + 2.84989i −0.0196950 + 0.111696i
\(652\) −29.6376 10.7872i −1.16070 0.422459i
\(653\) 13.9890 + 24.2297i 0.547432 + 0.948181i 0.998449 + 0.0556654i \(0.0177280\pi\)
−0.451017 + 0.892515i \(0.648939\pi\)
\(654\) 9.50371 16.4609i 0.371625 0.643673i
\(655\) −5.24756 + 4.40322i −0.205039 + 0.172048i
\(656\) 0.0723150 0.0606795i 0.00282343 0.00236914i
\(657\) −28.3347 + 49.0772i −1.10544 + 1.91468i
\(658\) 37.1267 + 64.3053i 1.44735 + 2.50688i
\(659\) −5.32402 1.93779i −0.207395 0.0754854i 0.236234 0.971696i \(-0.424087\pi\)
−0.443629 + 0.896211i \(0.646309\pi\)
\(660\) −1.07608 + 6.10278i −0.0418865 + 0.237550i
\(661\) −0.0226150 0.128256i −0.000879623 0.00498859i 0.984365 0.176142i \(-0.0563618\pi\)
−0.985244 + 0.171153i \(0.945251\pi\)
\(662\) −9.75178 + 3.54936i −0.379014 + 0.137950i
\(663\) 0.597696 + 0.501527i 0.0232126 + 0.0194777i
\(664\) 37.9395 1.47234
\(665\) −12.6982 1.69799i −0.492416 0.0658453i
\(666\) −150.988 −5.85068
\(667\) −9.49542 7.96760i −0.367664 0.308507i
\(668\) −0.860080 + 0.313044i −0.0332775 + 0.0121120i
\(669\) 11.8129 + 66.9944i 0.456714 + 2.59015i
\(670\) −1.32653 + 7.52311i −0.0512482 + 0.290643i
\(671\) 0.557385 + 0.202871i 0.0215176 + 0.00783177i
\(672\) −27.2968 47.2794i −1.05300 1.82384i
\(673\) 20.7160 35.8812i 0.798543 1.38312i −0.122021 0.992528i \(-0.538938\pi\)
0.920565 0.390590i \(-0.127729\pi\)
\(674\) 35.6801 29.9391i 1.37434 1.15321i
\(675\) 12.5112 10.4982i 0.481558 0.404075i
\(676\) 20.3567 35.2589i 0.782951 1.35611i
\(677\) −9.63213 16.6833i −0.370193 0.641193i 0.619402 0.785074i \(-0.287375\pi\)
−0.989595 + 0.143881i \(0.954042\pi\)
\(678\) 80.6956 + 29.3708i 3.09910 + 1.12798i
\(679\) −6.22544 + 35.3062i −0.238911 + 1.35493i
\(680\) −0.174070 0.987202i −0.00667529 0.0378575i
\(681\) −39.4540 + 14.3601i −1.51188 + 0.550279i
\(682\) −0.301647 0.253112i −0.0115507 0.00969216i
\(683\) 14.0647 0.538170 0.269085 0.963116i \(-0.413279\pi\)
0.269085 + 0.963116i \(0.413279\pi\)
\(684\) −42.7445 103.790i −1.63438 3.96851i
\(685\) 13.2418 0.505942
\(686\) 27.6439 + 23.1960i 1.05545 + 0.885626i
\(687\) −17.9018 + 6.51572i −0.682996 + 0.248590i
\(688\) −0.0404779 0.229561i −0.00154320 0.00875195i
\(689\) 0.478063 2.71123i 0.0182127 0.103290i
\(690\) 29.3273 + 10.6742i 1.11647 + 0.406362i
\(691\) 5.66284 + 9.80833i 0.215425 + 0.373126i 0.953404 0.301697i \(-0.0975531\pi\)
−0.737979 + 0.674823i \(0.764220\pi\)
\(692\) −24.5388 + 42.5025i −0.932825 + 1.61570i
\(693\) 10.3234 8.66232i 0.392152 0.329054i
\(694\) 47.8311 40.1350i 1.81564 1.52350i
\(695\) −1.45494 + 2.52003i −0.0551890 + 0.0955902i
\(696\) −14.1695 24.5423i −0.537094 0.930275i
\(697\) 0.883620 + 0.321612i 0.0334695 + 0.0121819i
\(698\) 5.01924 28.4655i 0.189981 1.07744i
\(699\) −1.59572 9.04980i −0.0603558 0.342295i
\(700\) 8.95932 3.26093i 0.338630 0.123251i
\(701\) −11.8225 9.92029i −0.446531 0.374684i 0.391615 0.920129i \(-0.371916\pi\)
−0.838147 + 0.545445i \(0.816361\pi\)
\(702\) −25.0731 −0.946323
\(703\) 32.0800 + 16.7827i 1.20992 + 0.632972i
\(704\) 7.46945 0.281516
\(705\) 27.9512 + 23.4538i 1.05270 + 0.883322i
\(706\) −66.2756 + 24.1224i −2.49432 + 0.907857i
\(707\) 0.296434 + 1.68116i 0.0111485 + 0.0632265i
\(708\) 1.13751 6.45114i 0.0427503 0.242449i
\(709\) −17.9320 6.52671i −0.673450 0.245116i −0.0174175 0.999848i \(-0.505544\pi\)
−0.656033 + 0.754733i \(0.727767\pi\)
\(710\) 15.1421 + 26.2268i 0.568272 + 0.984276i
\(711\) −6.12166 + 10.6030i −0.229580 + 0.397644i
\(712\) −14.3397 + 12.0324i −0.537401 + 0.450933i
\(713\) −0.939777 + 0.788566i −0.0351949 + 0.0295320i
\(714\) −3.91660 + 6.78374i −0.146575 + 0.253875i
\(715\) −0.193611 0.335344i −0.00724063 0.0125411i
\(716\) 44.0582 + 16.0359i 1.64653 + 0.599289i
\(717\) 11.1753 63.3782i 0.417349 2.36690i
\(718\) −6.85407 38.8714i −0.255792 1.45067i
\(719\) 10.7312 3.90584i 0.400207 0.145663i −0.134072 0.990972i \(-0.542805\pi\)
0.534279 + 0.845308i \(0.320583\pi\)
\(720\) 0.214829 + 0.180263i 0.00800622 + 0.00671802i
\(721\) 19.0192 0.708314
\(722\) −3.96810 + 43.3281i −0.147677 + 1.61250i
\(723\) −23.9437 −0.890475
\(724\) −17.3078 14.5230i −0.643239 0.539742i
\(725\) −2.82660 + 1.02880i −0.104977 + 0.0382086i
\(726\) −14.0278 79.5558i −0.520622 2.95259i
\(727\) −1.89714 + 10.7592i −0.0703609 + 0.399036i 0.929205 + 0.369565i \(0.120493\pi\)
−0.999566 + 0.0294711i \(0.990618\pi\)
\(728\) −5.27432 1.91969i −0.195479 0.0711486i
\(729\) −38.8479 67.2865i −1.43881 2.49209i
\(730\) −8.17380 + 14.1574i −0.302526 + 0.523990i
\(731\) 1.77872 1.49252i 0.0657883 0.0552029i
\(732\) 8.44003 7.08203i 0.311953 0.261759i
\(733\) −11.7865 + 20.4147i −0.435343 + 0.754036i −0.997324 0.0731146i \(-0.976706\pi\)
0.561981 + 0.827150i \(0.310039\pi\)
\(734\) 34.4568 + 59.6810i 1.27182 + 2.20286i
\(735\) −5.09165 1.85321i −0.187808 0.0683566i
\(736\) 4.01888 22.7922i 0.148138 0.840132i
\(737\) 0.334591 + 1.89756i 0.0123248 + 0.0698975i
\(738\) −45.6456 + 16.6136i −1.68024 + 0.611557i
\(739\) −1.72100 1.44409i −0.0633081 0.0531218i 0.610585 0.791951i \(-0.290935\pi\)
−0.673893 + 0.738829i \(0.735379\pi\)
\(740\) −26.9441 −0.990486
\(741\) 8.56350 + 4.48000i 0.314588 + 0.164577i
\(742\) 27.6393 1.01467
\(743\) −20.6210 17.3031i −0.756511 0.634788i 0.180705 0.983537i \(-0.442162\pi\)
−0.937216 + 0.348750i \(0.886606\pi\)
\(744\) −2.63561 + 0.959285i −0.0966263 + 0.0351691i
\(745\) −1.53793 8.72204i −0.0563454 0.319551i
\(746\) −2.43899 + 13.8322i −0.0892976 + 0.506432i
\(747\) −99.3502 36.1605i −3.63503 1.32304i
\(748\) −0.329680 0.571023i −0.0120543 0.0208787i
\(749\) 27.0086 46.7803i 0.986874 1.70932i
\(750\) 5.80173 4.86823i 0.211849 0.177762i
\(751\) −26.1495 + 21.9420i −0.954209 + 0.800676i −0.980001 0.198991i \(-0.936234\pi\)
0.0257926 + 0.999667i \(0.491789\pi\)
\(752\) −0.194876 + 0.337534i −0.00710638 + 0.0123086i
\(753\) −24.5664 42.5502i −0.895248 1.55062i
\(754\) 4.33935 + 1.57940i 0.158030 + 0.0575182i
\(755\) 1.45371 8.24442i 0.0529061 0.300045i
\(756\) −27.0400 153.351i −0.983434 5.57733i
\(757\) −17.7079 + 6.44514i −0.643604 + 0.234253i −0.643142 0.765747i \(-0.722369\pi\)
−0.000462353 1.00000i \(0.500147\pi\)
\(758\) 54.1979 + 45.4775i 1.96856 + 1.65182i
\(759\) 7.87198 0.285735
\(760\) −4.72841 11.4813i −0.171517 0.416469i
\(761\) −10.8012 −0.391544 −0.195772 0.980649i \(-0.562721\pi\)
−0.195772 + 0.980649i \(0.562721\pi\)
\(762\) 111.347 + 93.4315i 4.03369 + 3.38467i
\(763\) −6.93139 + 2.52282i −0.250933 + 0.0913322i
\(764\) 3.09283 + 17.5403i 0.111895 + 0.634587i
\(765\) −0.485082 + 2.75104i −0.0175382 + 0.0994640i
\(766\) −10.0087 3.64286i −0.361628 0.131622i
\(767\) 0.204663 + 0.354486i 0.00738994 + 0.0127998i
\(768\) 26.8354 46.4802i 0.968338 1.67721i
\(769\) 37.4804 31.4498i 1.35158 1.13411i 0.373091 0.927795i \(-0.378298\pi\)
0.978486 0.206313i \(-0.0661464\pi\)
\(770\) 2.97801 2.49884i 0.107320 0.0900521i
\(771\) −32.6692 + 56.5847i −1.17655 + 2.03785i
\(772\) 10.5053 + 18.1957i 0.378094 + 0.654878i
\(773\) 25.1420 + 9.15095i 0.904296 + 0.329137i 0.751973 0.659194i \(-0.229102\pi\)
0.152323 + 0.988331i \(0.451325\pi\)
\(774\) −20.8284 + 118.124i −0.748662 + 4.24588i
\(775\) 0.0516962 + 0.293184i 0.00185698 + 0.0105315i
\(776\) −32.6516 + 11.8842i −1.17212 + 0.426619i
\(777\) 61.8489 + 51.8974i 2.21882 + 1.86181i
\(778\) −37.0448 −1.32812
\(779\) 11.5448 + 1.54376i 0.413636 + 0.0553110i
\(780\) −7.19251 −0.257533
\(781\) 5.85150 + 4.91000i 0.209383 + 0.175693i
\(782\) −3.12046 + 1.13575i −0.111587 + 0.0406145i
\(783\) 8.53090 + 48.3811i 0.304869 + 1.72900i
\(784\) 0.0100504 0.0569988i 0.000358944 0.00203567i
\(785\) 14.9097 + 5.42667i 0.532148 + 0.193686i
\(786\) 25.9404 + 44.9301i 0.925263 + 1.60260i
\(787\) −10.9173 + 18.9093i −0.389160 + 0.674045i −0.992337 0.123563i \(-0.960568\pi\)
0.603177 + 0.797607i \(0.293901\pi\)
\(788\) −23.0971 + 19.3807i −0.822799 + 0.690410i
\(789\) 30.0257 25.1945i 1.06894 0.896949i
\(790\) −1.76593 + 3.05868i −0.0628290 + 0.108823i
\(791\) −16.6627 28.8607i −0.592458 1.02617i
\(792\) 12.2736 + 4.46722i 0.436123 + 0.158736i
\(793\) −0.119548 + 0.677993i −0.00424529 + 0.0240762i
\(794\) −3.95066 22.4053i −0.140204 0.795135i
\(795\) 12.7627 4.64524i 0.452646 0.164750i
\(796\) −60.4029 50.6840i −2.14092 1.79645i
\(797\) −13.0244 −0.461347 −0.230673 0.973031i \(-0.574093\pi\)
−0.230673 + 0.973031i \(0.574093\pi\)
\(798\) −29.3646 + 92.4773i −1.03949 + 3.27366i
\(799\) −3.88234 −0.137347
\(800\) −4.30236 3.61011i −0.152111 0.127637i
\(801\) 49.0187 17.8413i 1.73199 0.630393i
\(802\) −5.14319 29.1685i −0.181612 1.02997i
\(803\) −0.716015 + 4.06072i −0.0252676 + 0.143300i
\(804\) 33.6318 + 12.2410i 1.18610 + 0.431706i
\(805\) −6.05574 10.4888i −0.213437 0.369683i
\(806\) 0.228518 0.395804i 0.00804919 0.0139416i
\(807\) −27.5543 + 23.1208i −0.969959 + 0.813892i
\(808\) −1.26745 + 1.06351i −0.0445886 + 0.0374143i
\(809\) 4.51134 7.81388i 0.158610 0.274721i −0.775757 0.631031i \(-0.782632\pi\)
0.934368 + 0.356310i \(0.115965\pi\)
\(810\) −34.5797 59.8938i −1.21501 2.10445i
\(811\) 21.0062 + 7.64565i 0.737629 + 0.268475i 0.683391 0.730053i \(-0.260505\pi\)
0.0542386 + 0.998528i \(0.482727\pi\)
\(812\) −4.98009 + 28.2435i −0.174767 + 0.991153i
\(813\) −3.37259 19.1269i −0.118282 0.670810i
\(814\) −10.3236 + 3.75749i −0.361843 + 0.131700i
\(815\) 7.44794 + 6.24957i 0.260890 + 0.218913i
\(816\) −0.0411159 −0.00143934
\(817\) 17.5551 22.7823i 0.614175 0.797052i
\(818\) −14.2901 −0.499642
\(819\) 11.9819 + 10.0540i 0.418681 + 0.351315i
\(820\) −8.14553 + 2.96473i −0.284454 + 0.103533i
\(821\) −6.05598 34.3451i −0.211355 1.19865i −0.887121 0.461537i \(-0.847298\pi\)
0.675766 0.737116i \(-0.263813\pi\)
\(822\) 17.4148 98.7645i 0.607412 3.44481i
\(823\) 4.74344 + 1.72647i 0.165346 + 0.0601809i 0.423367 0.905958i \(-0.360848\pi\)
−0.258021 + 0.966139i \(0.583070\pi\)
\(824\) 9.21684 + 15.9640i 0.321084 + 0.556134i
\(825\) 0.955150 1.65437i 0.0332540 0.0575977i
\(826\) −3.14800 + 2.64149i −0.109533 + 0.0919090i
\(827\) 38.4862 32.2938i 1.33830 1.12296i 0.356237 0.934395i \(-0.384059\pi\)
0.982060 0.188569i \(-0.0603850\pi\)
\(828\) 53.0581 91.8993i 1.84390 3.19372i
\(829\) −8.13553 14.0911i −0.282559 0.489406i 0.689456 0.724328i \(-0.257850\pi\)
−0.972014 + 0.234922i \(0.924516\pi\)
\(830\) −28.6598 10.4313i −0.994797 0.362077i
\(831\) −13.6758 + 77.5595i −0.474409 + 2.69051i
\(832\) 1.50544 + 8.53778i 0.0521918 + 0.295994i
\(833\) 0.541758 0.197184i 0.0187708 0.00683201i
\(834\) 16.8823 + 14.1659i 0.584587 + 0.490527i
\(835\) 0.282149 0.00976417
\(836\) −5.50551 6.03276i −0.190412 0.208648i
\(837\) 4.86222 0.168063
\(838\) −53.5743 44.9542i −1.85069 1.55292i
\(839\) 20.3201 7.39592i 0.701528 0.255335i 0.0334650 0.999440i \(-0.489346\pi\)
0.668063 + 0.744105i \(0.267124\pi\)
\(840\) −4.80831 27.2693i −0.165902 0.940879i
\(841\) −3.46462 + 19.6488i −0.119470 + 0.677545i
\(842\) −78.6926 28.6418i −2.71193 0.987061i
\(843\) 11.8058 + 20.4482i 0.406612 + 0.704272i
\(844\) −38.8746 + 67.3329i −1.33812 + 2.31769i
\(845\) −9.61429 + 8.06735i −0.330742 + 0.277525i
\(846\) 153.631 128.912i 5.28196 4.43209i
\(847\) −15.6748 + 27.1495i −0.538592 + 0.932869i
\(848\) 0.0725383 + 0.125640i 0.00249098 + 0.00431450i
\(849\) −83.0858 30.2408i −2.85150 1.03786i
\(850\) −0.139933 + 0.793600i −0.00479967 + 0.0272203i
\(851\) 5.94350 + 33.7072i 0.203740 + 1.15547i
\(852\) 133.328 48.5273i 4.56773 1.66252i
\(853\) −30.2607 25.3918i −1.03611 0.869397i −0.0445424 0.999007i \(-0.514183\pi\)
−0.991565 + 0.129610i \(0.958627\pi\)
\(854\) −6.91172 −0.236514
\(855\) 1.43912 + 34.5721i 0.0492167 + 1.18234i
\(856\) 52.3542 1.78943
\(857\) −9.54432 8.00863i −0.326028 0.273570i 0.465051 0.885284i \(-0.346036\pi\)
−0.791079 + 0.611714i \(0.790480\pi\)
\(858\) −2.75581 + 1.00303i −0.0940817 + 0.0342429i
\(859\) 5.73773 + 32.5403i 0.195769 + 1.11026i 0.911319 + 0.411700i \(0.135065\pi\)
−0.715551 + 0.698561i \(0.753824\pi\)
\(860\) −3.71687 + 21.0794i −0.126744 + 0.718802i
\(861\) 24.4081 + 8.88381i 0.831825 + 0.302759i
\(862\) −27.3689 47.4044i −0.932189 1.61460i
\(863\) 4.43310 7.67835i 0.150904 0.261374i −0.780656 0.624961i \(-0.785115\pi\)
0.931560 + 0.363587i \(0.118448\pi\)
\(864\) −70.2673 + 58.9612i −2.39054 + 2.00590i
\(865\) 11.5894 9.72470i 0.394053 0.330650i
\(866\) 16.7791 29.0622i 0.570176 0.987573i
\(867\) 27.9073 + 48.3368i 0.947781 + 1.64161i
\(868\) 2.66725 + 0.970799i 0.0905323 + 0.0329511i
\(869\) −0.154694 + 0.877311i −0.00524762 + 0.0297607i
\(870\) 3.95596 + 22.4353i 0.134119 + 0.760629i
\(871\) −2.10152 + 0.764892i −0.0712074 + 0.0259174i
\(872\) −5.47656 4.59538i −0.185460 0.155619i
\(873\) 96.8300 3.27720
\(874\) −34.7359 + 22.0302i −1.17496 + 0.745181i
\(875\) −2.93910 −0.0993598
\(876\) 58.6715 + 49.2312i 1.98232 + 1.66337i
\(877\) −10.4313 + 3.79669i −0.352241 + 0.128205i −0.512080 0.858938i \(-0.671125\pi\)
0.159839 + 0.987143i \(0.448903\pi\)
\(878\) −6.76972 38.3930i −0.228467 1.29570i
\(879\) 0.616444 3.49603i 0.0207921 0.117918i
\(880\) 0.0191747 + 0.00697902i 0.000646379 + 0.000235263i
\(881\) −20.9588 36.3016i −0.706119 1.22303i −0.966286 0.257470i \(-0.917111\pi\)
0.260168 0.965563i \(-0.416222\pi\)
\(882\) −14.8910 + 25.7919i −0.501405 + 0.868458i
\(883\) 20.3742 17.0960i 0.685646 0.575325i −0.232004 0.972715i \(-0.574528\pi\)
0.917650 + 0.397390i \(0.130084\pi\)
\(884\) 0.586248 0.491921i 0.0197177 0.0165451i
\(885\) −1.00967 + 1.74880i −0.0339398 + 0.0587854i
\(886\) 41.2094 + 71.3768i 1.38446 + 2.39795i
\(887\) −19.5566 7.11802i −0.656646 0.239000i −0.00785834 0.999969i \(-0.502501\pi\)
−0.648788 + 0.760970i \(0.724724\pi\)
\(888\) −13.5884 + 77.0634i −0.455996 + 2.58608i
\(889\) −9.79506 55.5506i −0.328516 1.86311i
\(890\) 14.1406 5.14674i 0.473992 0.172519i
\(891\) −13.3630 11.2129i −0.447676 0.375645i
\(892\) 66.7249 2.23412
\(893\) −46.9705 + 10.3131i −1.57181 + 0.345114i
\(894\) −67.0764 −2.24337
\(895\) −11.0719 9.29039i −0.370091 0.310544i
\(896\) −50.7654 + 18.4771i −1.69595 + 0.617276i
\(897\) 1.58657 + 8.99787i 0.0529739 + 0.300430i
\(898\) 1.41470 8.02315i 0.0472091 0.267736i
\(899\) −0.841496 0.306280i −0.0280655 0.0102150i
\(900\) −12.8757 22.3013i −0.429188 0.743376i
\(901\) −0.722559 + 1.25151i −0.0240719 + 0.0416938i
\(902\) −2.70751 + 2.27187i −0.0901502 + 0.0756450i
\(903\) 49.1332 41.2276i 1.63505 1.37197i
\(904\) 16.1497 27.9721i 0.537131 0.930338i
\(905\) 3.48243 + 6.03175i 0.115760 + 0.200502i
\(906\) −59.5796 21.6852i −1.97940 0.720443i
\(907\) −0.139827 + 0.792997i −0.00464287 + 0.0263310i −0.987041 0.160467i \(-0.948700\pi\)
0.982398 + 0.186798i \(0.0598110\pi\)
\(908\) 7.15115 + 40.5562i 0.237319 + 1.34590i
\(909\) 4.33264 1.57695i 0.143705 0.0523042i
\(910\) 3.45645 + 2.90030i 0.114580 + 0.0961442i
\(911\) 33.6958 1.11639 0.558196 0.829709i \(-0.311494\pi\)
0.558196 + 0.829709i \(0.311494\pi\)
\(912\) −0.497441 + 0.109221i −0.0164719 + 0.00361666i
\(913\) −7.69283 −0.254595
\(914\) −8.09913 6.79598i −0.267895 0.224791i
\(915\) −3.19155 + 1.16163i −0.105509 + 0.0384023i
\(916\) 3.24475 + 18.4019i 0.107210 + 0.608016i
\(917\) 3.49613 19.8276i 0.115453 0.654764i
\(918\) 12.3675 + 4.50141i 0.408189 + 0.148569i
\(919\) 7.14677 + 12.3786i 0.235750 + 0.408331i 0.959490 0.281741i \(-0.0909120\pi\)
−0.723740 + 0.690072i \(0.757579\pi\)
\(920\) 5.86930 10.1659i 0.193505 0.335160i
\(921\) −65.7964 + 55.2097i −2.16806 + 1.81922i
\(922\) −51.1770 + 42.9426i −1.68542 + 1.41424i
\(923\) −4.43290 + 7.67801i −0.145911 + 0.252725i
\(924\) −9.10669 15.7733i −0.299588 0.518902i
\(925\) 7.80504 + 2.84080i 0.256628 + 0.0934050i
\(926\) −7.01363 + 39.7763i −0.230482 + 1.30713i
\(927\) −8.92017 50.5888i −0.292977 1.66155i
\(928\) 15.8751 5.77806i 0.521125 0.189674i
\(929\) 11.3513 + 9.52484i 0.372423 + 0.312500i 0.809719 0.586818i \(-0.199619\pi\)
−0.437296 + 0.899317i \(0.644064\pi\)
\(930\) 2.25472 0.0739350
\(931\) 6.03067 3.82476i 0.197647 0.125352i
\(932\) −9.01339 −0.295244
\(933\) 48.2663 + 40.5002i 1.58017 + 1.32592i
\(934\) −36.4602 + 13.2704i −1.19301 + 0.434221i
\(935\) 0.0352954 + 0.200170i 0.00115428 + 0.00654627i
\(936\) −2.63245 + 14.9294i −0.0860444 + 0.487982i
\(937\) 45.6316 + 16.6085i 1.49072 + 0.542577i 0.953639 0.300954i \(-0.0973050\pi\)
0.537080 + 0.843531i \(0.319527\pi\)
\(938\) −11.2261 19.4442i −0.366546 0.634877i
\(939\) 25.4650 44.1066i 0.831017 1.43936i
\(940\) 27.4158 23.0046i 0.894205 0.750327i
\(941\) 14.5770 12.2315i 0.475195 0.398736i −0.373490 0.927634i \(-0.621839\pi\)
0.848685 + 0.528898i \(0.177395\pi\)
\(942\) 60.0835 104.068i 1.95763 3.39071i
\(943\) 5.50569 + 9.53613i 0.179290 + 0.310539i
\(944\) −0.0202693 0.00737740i −0.000659708 0.000240114i
\(945\) −8.33550 + 47.2729i −0.271154 + 1.53779i
\(946\) 1.51551 + 8.59490i 0.0492736 + 0.279444i
\(947\) 38.1018 13.8679i 1.23814 0.450646i 0.361763 0.932270i \(-0.382175\pi\)
0.876378 + 0.481624i \(0.159953\pi\)
\(948\) 12.6758 + 10.6363i 0.411692 + 0.345451i
\(949\) −4.78582 −0.155354
\(950\) 0.415146 + 9.97310i 0.0134691 + 0.323570i
\(951\) 84.4697 2.73912
\(952\) 2.25696 + 1.89381i 0.0731484 + 0.0613788i
\(953\) 35.5481 12.9385i 1.15152 0.419118i 0.305457 0.952206i \(-0.401191\pi\)
0.846060 + 0.533088i \(0.178968\pi\)
\(954\) −12.9630 73.5170i −0.419694 2.38020i
\(955\) 0.953415 5.40709i 0.0308518 0.174969i
\(956\) −59.3164 21.5894i −1.91843 0.698251i
\(957\) 2.87309 + 4.97634i 0.0928738 + 0.160862i
\(958\) 16.5579 28.6792i 0.534962 0.926582i
\(959\) −29.8136 + 25.0166i −0.962732 + 0.807828i
\(960\) −32.7634 + 27.4918i −1.05743 + 0.887293i
\(961\) 15.4557 26.7700i 0.498570 0.863549i
\(962\) −6.37560 11.0429i −0.205558 0.356036i
\(963\) −137.097 49.8993i −4.41789 1.60798i
\(964\) −4.07814 + 23.1283i −0.131348 + 0.744911i
\(965\) −1.12469 6.37846i −0.0362052 0.205330i
\(966\) −86.1958 + 31.3727i −2.77330 + 1.00940i
\(967\) 21.5070 + 18.0465i 0.691618 + 0.580336i 0.919375 0.393382i \(-0.128695\pi\)
−0.227758 + 0.973718i \(0.573139\pi\)
\(968\) −30.3844 −0.976591
\(969\) −3.41972 3.74722i −0.109857 0.120378i
\(970\) 27.9328 0.896869
\(971\) −26.9547 22.6176i −0.865016 0.725835i 0.0980264 0.995184i \(-0.468747\pi\)
−0.963043 + 0.269349i \(0.913191\pi\)
\(972\) −155.120 + 56.4590i −4.97548 + 1.81092i
\(973\) −1.48511 8.42250i −0.0476106 0.270013i
\(974\) −0.131992 + 0.748566i −0.00422931 + 0.0239856i
\(975\) 2.08349 + 0.758329i 0.0667251 + 0.0242860i
\(976\) −0.0181396 0.0314187i −0.000580633 0.00100569i
\(977\) −26.6516 + 46.1619i −0.852659 + 1.47685i 0.0261400 + 0.999658i \(0.491678\pi\)
−0.878799 + 0.477191i \(0.841655\pi\)
\(978\) 56.4079 47.3318i 1.80372 1.51350i
\(979\) 2.90759 2.43976i 0.0929269 0.0779749i
\(980\) −2.65732 + 4.60261i −0.0848849 + 0.147025i
\(981\) 9.96127 + 17.2534i 0.318039 + 0.550859i
\(982\) 7.19127 + 2.61741i 0.229483 + 0.0835249i
\(983\) −8.82370 + 50.0417i −0.281432 + 1.59608i 0.436325 + 0.899789i \(0.356280\pi\)
−0.717757 + 0.696293i \(0.754831\pi\)
\(984\) 4.37156 + 24.7924i 0.139360 + 0.790352i
\(985\) 8.73402 3.17892i 0.278289 0.101289i
\(986\) −1.85687 1.55810i −0.0591349 0.0496200i
\(987\) −107.241 −3.41352
\(988\) 5.78599 7.50883i 0.184077 0.238888i
\(989\) 27.1903 0.864603
\(990\) −8.04332 6.74915i −0.255634 0.214502i
\(991\) 52.8203 19.2250i 1.67789 0.610703i 0.684873 0.728662i \(-0.259858\pi\)
0.993018 + 0.117960i \(0.0376354\pi\)
\(992\) −0.290343 1.64662i −0.00921840 0.0522801i
\(993\) 2.60263 14.7603i 0.0825920 0.468403i
\(994\) −83.6404 30.4426i −2.65291 0.965581i
\(995\) 12.1534 + 21.0504i 0.385290 + 0.667341i
\(996\) −71.4458 + 123.748i −2.26385 + 3.92110i
\(997\) 28.7054 24.0867i 0.909110 0.762834i −0.0628394 0.998024i \(-0.520016\pi\)
0.971949 + 0.235190i \(0.0755712\pi\)
\(998\) −24.7194 + 20.7420i −0.782479 + 0.656578i
\(999\) 67.8275 117.481i 2.14597 3.71693i
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 95.2.k.a.16.3 yes 18
3.2 odd 2 855.2.bs.c.586.1 18
5.2 odd 4 475.2.u.b.149.1 36
5.3 odd 4 475.2.u.b.149.6 36
5.4 even 2 475.2.l.c.301.1 18
19.5 even 9 1805.2.a.v.1.8 9
19.6 even 9 inner 95.2.k.a.6.3 18
19.14 odd 18 1805.2.a.s.1.2 9
57.44 odd 18 855.2.bs.c.766.1 18
95.14 odd 18 9025.2.a.cf.1.8 9
95.24 even 18 9025.2.a.cc.1.2 9
95.44 even 18 475.2.l.c.101.1 18
95.63 odd 36 475.2.u.b.424.1 36
95.82 odd 36 475.2.u.b.424.6 36
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
95.2.k.a.6.3 18 19.6 even 9 inner
95.2.k.a.16.3 yes 18 1.1 even 1 trivial
475.2.l.c.101.1 18 95.44 even 18
475.2.l.c.301.1 18 5.4 even 2
475.2.u.b.149.1 36 5.2 odd 4
475.2.u.b.149.6 36 5.3 odd 4
475.2.u.b.424.1 36 95.63 odd 36
475.2.u.b.424.6 36 95.82 odd 36
855.2.bs.c.586.1 18 3.2 odd 2
855.2.bs.c.766.1 18 57.44 odd 18
1805.2.a.s.1.2 9 19.14 odd 18
1805.2.a.v.1.8 9 19.5 even 9
9025.2.a.cc.1.2 9 95.24 even 18
9025.2.a.cf.1.8 9 95.14 odd 18