Properties

Label 189.2.v.a.22.8
Level $189$
Weight $2$
Character 189.22
Analytic conductor $1.509$
Analytic rank $0$
Dimension $54$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [189,2,Mod(22,189)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(189, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([14, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.22");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.v (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: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(54\)
Relative dimension: \(9\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 22.8
Character \(\chi\) \(=\) 189.22
Dual form 189.2.v.a.43.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.89179 - 1.58740i) q^{2} +(-1.45321 + 0.942429i) q^{3} +(0.711733 - 4.03644i) q^{4} +(2.16637 - 0.788496i) q^{5} +(-1.25316 + 4.08971i) q^{6} +(0.173648 + 0.984808i) q^{7} +(-2.59144 - 4.48850i) q^{8} +(1.22366 - 2.73910i) q^{9} +O(q^{10})\) \(q+(1.89179 - 1.58740i) q^{2} +(-1.45321 + 0.942429i) q^{3} +(0.711733 - 4.03644i) q^{4} +(2.16637 - 0.788496i) q^{5} +(-1.25316 + 4.08971i) q^{6} +(0.173648 + 0.984808i) q^{7} +(-2.59144 - 4.48850i) q^{8} +(1.22366 - 2.73910i) q^{9} +(2.84667 - 4.93057i) q^{10} +(-4.00133 - 1.45636i) q^{11} +(2.76976 + 6.53656i) q^{12} +(1.41582 + 1.18802i) q^{13} +(1.89179 + 1.58740i) q^{14} +(-2.40510 + 3.18751i) q^{15} +(-4.32446 - 1.57397i) q^{16} +(-2.58369 + 4.47509i) q^{17} +(-2.03315 - 7.12423i) q^{18} +(0.742518 + 1.28608i) q^{19} +(-1.64083 - 9.30564i) q^{20} +(-1.18046 - 1.26748i) q^{21} +(-9.88150 + 3.59657i) q^{22} +(-0.717017 + 4.06640i) q^{23} +(7.99601 + 4.08051i) q^{24} +(0.241230 - 0.202416i) q^{25} +4.56430 q^{26} +(0.803173 + 5.13370i) q^{27} +4.09871 q^{28} +(7.51467 - 6.30555i) q^{29} +(0.509899 + 9.84795i) q^{30} +(-0.813311 + 4.61252i) q^{31} +(-0.938868 + 0.341720i) q^{32} +(7.18730 - 1.65456i) q^{33} +(2.21595 + 12.5673i) q^{34} +(1.15270 + 1.99654i) q^{35} +(-10.1853 - 6.88872i) q^{36} +(-3.72208 + 6.44683i) q^{37} +(3.44621 + 1.25432i) q^{38} +(-3.17712 - 0.392129i) q^{39} +(-9.15319 - 7.68044i) q^{40} +(-6.88748 - 5.77928i) q^{41} +(-4.24519 - 0.523953i) q^{42} +(-5.92841 - 2.15777i) q^{43} +(-8.72640 + 15.1146i) q^{44} +(0.491129 - 6.89876i) q^{45} +(5.09857 + 8.83097i) q^{46} +(-1.69114 - 9.59096i) q^{47} +(7.76772 - 1.78817i) q^{48} +(-0.939693 + 0.342020i) q^{49} +(0.135041 - 0.765857i) q^{50} +(-0.462795 - 8.93820i) q^{51} +(5.80305 - 4.86934i) q^{52} +10.2060 q^{53} +(9.66868 + 8.43693i) q^{54} -9.81671 q^{55} +(3.97031 - 3.33149i) q^{56} +(-2.29108 - 1.16918i) q^{57} +(4.20673 - 23.8576i) q^{58} +(-8.33107 + 3.03226i) q^{59} +(11.1544 + 11.9767i) q^{60} +(0.844910 + 4.79172i) q^{61} +(5.78329 + 10.0170i) q^{62} +(2.90997 + 0.729426i) q^{63} +(3.36830 - 5.83406i) q^{64} +(4.00395 + 1.45732i) q^{65} +(10.9704 - 14.5392i) q^{66} +(0.364723 + 0.306039i) q^{67} +(16.2245 + 13.6140i) q^{68} +(-2.79032 - 6.58509i) q^{69} +(5.34998 + 1.94723i) q^{70} +(4.51932 - 7.82770i) q^{71} +(-15.4655 + 1.60582i) q^{72} +(-5.54738 - 9.60834i) q^{73} +(3.19231 + 18.1045i) q^{74} +(-0.159796 + 0.521496i) q^{75} +(5.71966 - 2.08179i) q^{76} +(0.739415 - 4.19343i) q^{77} +(-6.63290 + 4.30153i) q^{78} +(3.28295 - 2.75472i) q^{79} -10.6095 q^{80} +(-6.00533 - 6.70343i) q^{81} -22.2037 q^{82} +(4.66403 - 3.91358i) q^{83} +(-5.95630 + 3.86274i) q^{84} +(-2.06866 + 11.7319i) q^{85} +(-14.6405 + 5.32872i) q^{86} +(-4.97788 + 16.2454i) q^{87} +(3.83230 + 21.7340i) q^{88} +(-5.05976 - 8.76376i) q^{89} +(-10.0220 - 13.8306i) q^{90} +(-0.924114 + 1.60061i) q^{91} +(15.9035 + 5.78839i) q^{92} +(-3.16505 - 7.46946i) q^{93} +(-18.4240 - 15.4596i) q^{94} +(2.62264 + 2.20066i) q^{95} +(1.04233 - 1.38141i) q^{96} +(3.34126 + 1.21612i) q^{97} +(-1.23478 + 2.13870i) q^{98} +(-8.88537 + 9.17794i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54 q - 3 q^{3} - 3 q^{5} - 27 q^{8} - 9 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 54 q - 3 q^{3} - 3 q^{5} - 27 q^{8} - 9 q^{9} - 6 q^{11} + 24 q^{12} - 9 q^{13} - 9 q^{15} - 30 q^{17} - 27 q^{18} - 12 q^{20} - 3 q^{21} - 9 q^{22} - 12 q^{23} + 36 q^{24} + 27 q^{25} + 18 q^{26} + 63 q^{27} + 54 q^{28} + 6 q^{29} - 72 q^{30} - 9 q^{31} - 9 q^{32} - 36 q^{33} - 9 q^{34} - 12 q^{35} + 54 q^{38} + 12 q^{39} - 45 q^{40} - 15 q^{41} - 18 q^{42} - 9 q^{43} - 42 q^{44} - 9 q^{45} - 45 q^{47} - 93 q^{48} + 18 q^{50} + 72 q^{51} - 63 q^{52} + 132 q^{53} + 54 q^{54} - 9 q^{56} + 3 q^{57} - 27 q^{58} - 9 q^{60} - 36 q^{62} - 9 q^{63} - 27 q^{64} + 66 q^{65} + 153 q^{66} + 45 q^{67} + 87 q^{68} - 72 q^{71} - 45 q^{72} - 72 q^{74} - 39 q^{75} + 54 q^{76} + 3 q^{77} - 54 q^{78} - 36 q^{79} + 42 q^{80} + 27 q^{81} + 24 q^{83} - 12 q^{84} + 18 q^{85} - 90 q^{86} - 99 q^{87} + 54 q^{88} - 42 q^{89} - 9 q^{90} + 87 q^{92} + 93 q^{93} - 90 q^{94} + 12 q^{95} + 108 q^{96} - 18 q^{97} - 9 q^{98} - 117 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.89179 1.58740i 1.33770 1.12246i 0.355486 0.934681i \(-0.384315\pi\)
0.982211 0.187780i \(-0.0601292\pi\)
\(3\) −1.45321 + 0.942429i −0.839013 + 0.544112i
\(4\) 0.711733 4.03644i 0.355867 2.01822i
\(5\) 2.16637 0.788496i 0.968832 0.352626i 0.191344 0.981523i \(-0.438716\pi\)
0.777489 + 0.628897i \(0.216493\pi\)
\(6\) −1.25316 + 4.08971i −0.511601 + 1.66962i
\(7\) 0.173648 + 0.984808i 0.0656328 + 0.372222i
\(8\) −2.59144 4.48850i −0.916212 1.58693i
\(9\) 1.22366 2.73910i 0.407885 0.913033i
\(10\) 2.84667 4.93057i 0.900195 1.55918i
\(11\) −4.00133 1.45636i −1.20645 0.439110i −0.340976 0.940072i \(-0.610757\pi\)
−0.865469 + 0.500962i \(0.832980\pi\)
\(12\) 2.76976 + 6.53656i 0.799560 + 1.88694i
\(13\) 1.41582 + 1.18802i 0.392679 + 0.329497i 0.817656 0.575707i \(-0.195273\pi\)
−0.424977 + 0.905204i \(0.639718\pi\)
\(14\) 1.89179 + 1.58740i 0.505602 + 0.424251i
\(15\) −2.40510 + 3.18751i −0.620995 + 0.823010i
\(16\) −4.32446 1.57397i −1.08111 0.393493i
\(17\) −2.58369 + 4.47509i −0.626638 + 1.08537i 0.361584 + 0.932339i \(0.382236\pi\)
−0.988222 + 0.153029i \(0.951097\pi\)
\(18\) −2.03315 7.12423i −0.479217 1.67920i
\(19\) 0.742518 + 1.28608i 0.170345 + 0.295047i 0.938541 0.345169i \(-0.112178\pi\)
−0.768195 + 0.640216i \(0.778845\pi\)
\(20\) −1.64083 9.30564i −0.366902 2.08080i
\(21\) −1.18046 1.26748i −0.257597 0.276588i
\(22\) −9.88150 + 3.59657i −2.10674 + 0.766792i
\(23\) −0.717017 + 4.06640i −0.149508 + 0.847904i 0.814128 + 0.580686i \(0.197216\pi\)
−0.963636 + 0.267218i \(0.913896\pi\)
\(24\) 7.99601 + 4.08051i 1.63218 + 0.832930i
\(25\) 0.241230 0.202416i 0.0482460 0.0404832i
\(26\) 4.56430 0.895133
\(27\) 0.803173 + 5.13370i 0.154571 + 0.987982i
\(28\) 4.09871 0.774583
\(29\) 7.51467 6.30555i 1.39544 1.17091i 0.432357 0.901703i \(-0.357682\pi\)
0.963082 0.269209i \(-0.0867624\pi\)
\(30\) 0.509899 + 9.84795i 0.0930944 + 1.79798i
\(31\) −0.813311 + 4.61252i −0.146075 + 0.828432i 0.820423 + 0.571757i \(0.193738\pi\)
−0.966498 + 0.256675i \(0.917373\pi\)
\(32\) −0.938868 + 0.341720i −0.165970 + 0.0604081i
\(33\) 7.18730 1.65456i 1.25115 0.288022i
\(34\) 2.21595 + 12.5673i 0.380032 + 2.15527i
\(35\) 1.15270 + 1.99654i 0.194842 + 0.337477i
\(36\) −10.1853 6.88872i −1.69755 1.14812i
\(37\) −3.72208 + 6.44683i −0.611906 + 1.05985i 0.379013 + 0.925391i \(0.376263\pi\)
−0.990919 + 0.134461i \(0.957070\pi\)
\(38\) 3.44621 + 1.25432i 0.559049 + 0.203477i
\(39\) −3.17712 0.392129i −0.508746 0.0627909i
\(40\) −9.15319 7.68044i −1.44725 1.21438i
\(41\) −6.88748 5.77928i −1.07564 0.902572i −0.0800919 0.996787i \(-0.525521\pi\)
−0.995552 + 0.0942152i \(0.969966\pi\)
\(42\) −4.24519 0.523953i −0.655046 0.0808478i
\(43\) −5.92841 2.15777i −0.904074 0.329056i −0.152190 0.988351i \(-0.548633\pi\)
−0.751884 + 0.659295i \(0.770855\pi\)
\(44\) −8.72640 + 15.1146i −1.31555 + 2.27861i
\(45\) 0.491129 6.89876i 0.0732131 1.02841i
\(46\) 5.09857 + 8.83097i 0.751742 + 1.30206i
\(47\) −1.69114 9.59096i −0.246679 1.39899i −0.816561 0.577259i \(-0.804122\pi\)
0.569882 0.821726i \(-0.306989\pi\)
\(48\) 7.76772 1.78817i 1.12117 0.258101i
\(49\) −0.939693 + 0.342020i −0.134242 + 0.0488600i
\(50\) 0.135041 0.765857i 0.0190977 0.108309i
\(51\) −0.462795 8.93820i −0.0648043 1.25160i
\(52\) 5.80305 4.86934i 0.804739 0.675256i
\(53\) 10.2060 1.40190 0.700951 0.713209i \(-0.252759\pi\)
0.700951 + 0.713209i \(0.252759\pi\)
\(54\) 9.66868 + 8.43693i 1.31574 + 1.14812i
\(55\) −9.81671 −1.32368
\(56\) 3.97031 3.33149i 0.530556 0.445189i
\(57\) −2.29108 1.16918i −0.303460 0.154861i
\(58\) 4.20673 23.8576i 0.552371 3.13265i
\(59\) −8.33107 + 3.03226i −1.08461 + 0.394767i −0.821623 0.570031i \(-0.806931\pi\)
−0.262990 + 0.964798i \(0.584709\pi\)
\(60\) 11.1544 + 11.9767i 1.44002 + 1.54619i
\(61\) 0.844910 + 4.79172i 0.108180 + 0.613517i 0.989903 + 0.141750i \(0.0452728\pi\)
−0.881723 + 0.471768i \(0.843616\pi\)
\(62\) 5.78329 + 10.0170i 0.734479 + 1.27216i
\(63\) 2.90997 + 0.729426i 0.366622 + 0.0918991i
\(64\) 3.36830 5.83406i 0.421037 0.729258i
\(65\) 4.00395 + 1.45732i 0.496629 + 0.180758i
\(66\) 10.9704 14.5392i 1.35036 1.78965i
\(67\) 0.364723 + 0.306039i 0.0445581 + 0.0373886i 0.664795 0.747026i \(-0.268519\pi\)
−0.620237 + 0.784415i \(0.712963\pi\)
\(68\) 16.2245 + 13.6140i 1.96751 + 1.65094i
\(69\) −2.79032 6.58509i −0.335915 0.792751i
\(70\) 5.34998 + 1.94723i 0.639445 + 0.232739i
\(71\) 4.51932 7.82770i 0.536345 0.928976i −0.462752 0.886488i \(-0.653138\pi\)
0.999097 0.0424888i \(-0.0135287\pi\)
\(72\) −15.4655 + 1.60582i −1.82263 + 0.189248i
\(73\) −5.54738 9.60834i −0.649272 1.12457i −0.983297 0.182007i \(-0.941741\pi\)
0.334026 0.942564i \(-0.391593\pi\)
\(74\) 3.19231 + 18.1045i 0.371098 + 2.10460i
\(75\) −0.159796 + 0.521496i −0.0184516 + 0.0602171i
\(76\) 5.71966 2.08179i 0.656090 0.238797i
\(77\) 0.739415 4.19343i 0.0842642 0.477886i
\(78\) −6.63290 + 4.30153i −0.751028 + 0.487052i
\(79\) 3.28295 2.75472i 0.369360 0.309930i −0.439148 0.898415i \(-0.644720\pi\)
0.808508 + 0.588485i \(0.200275\pi\)
\(80\) −10.6095 −1.18617
\(81\) −6.00533 6.70343i −0.667259 0.744826i
\(82\) −22.2037 −2.45199
\(83\) 4.66403 3.91358i 0.511943 0.429572i −0.349869 0.936799i \(-0.613774\pi\)
0.861812 + 0.507227i \(0.169329\pi\)
\(84\) −5.95630 + 3.86274i −0.649885 + 0.421460i
\(85\) −2.06866 + 11.7319i −0.224378 + 1.27251i
\(86\) −14.6405 + 5.32872i −1.57873 + 0.574611i
\(87\) −4.97788 + 16.2454i −0.533684 + 1.74168i
\(88\) 3.83230 + 21.7340i 0.408524 + 2.31686i
\(89\) −5.05976 8.76376i −0.536334 0.928957i −0.999098 0.0424756i \(-0.986476\pi\)
0.462764 0.886482i \(-0.346858\pi\)
\(90\) −10.0220 13.8306i −1.05641 1.45788i
\(91\) −0.924114 + 1.60061i −0.0968735 + 0.167790i
\(92\) 15.9035 + 5.78839i 1.65805 + 0.603481i
\(93\) −3.16505 7.46946i −0.328201 0.774546i
\(94\) −18.4240 15.4596i −1.90029 1.59453i
\(95\) 2.62264 + 2.20066i 0.269077 + 0.225783i
\(96\) 1.04233 1.38141i 0.106382 0.140989i
\(97\) 3.34126 + 1.21612i 0.339254 + 0.123478i 0.506029 0.862517i \(-0.331113\pi\)
−0.166775 + 0.985995i \(0.553335\pi\)
\(98\) −1.23478 + 2.13870i −0.124731 + 0.216041i
\(99\) −8.88537 + 9.17794i −0.893013 + 0.922418i
\(100\) −0.645349 1.11778i −0.0645349 0.111778i
\(101\) 0.550590 + 3.12255i 0.0547857 + 0.310705i 0.999870 0.0161213i \(-0.00513179\pi\)
−0.945084 + 0.326827i \(0.894021\pi\)
\(102\) −15.0640 16.1746i −1.49156 1.60152i
\(103\) 8.94161 3.25448i 0.881043 0.320673i 0.138412 0.990375i \(-0.455800\pi\)
0.742631 + 0.669701i \(0.233578\pi\)
\(104\) 1.66340 9.43361i 0.163110 0.925042i
\(105\) −3.55672 1.81506i −0.347101 0.177132i
\(106\) 19.3076 16.2010i 1.87532 1.57358i
\(107\) 3.46942 0.335402 0.167701 0.985838i \(-0.446366\pi\)
0.167701 + 0.985838i \(0.446366\pi\)
\(108\) 21.2935 + 0.411867i 2.04897 + 0.0396319i
\(109\) 5.23503 0.501425 0.250712 0.968062i \(-0.419335\pi\)
0.250712 + 0.968062i \(0.419335\pi\)
\(110\) −18.5711 + 15.5830i −1.77069 + 1.48578i
\(111\) −0.666704 12.8764i −0.0632808 1.22217i
\(112\) 0.799128 4.53208i 0.0755105 0.428241i
\(113\) −15.1040 + 5.49742i −1.42087 + 0.517154i −0.934300 0.356489i \(-0.883974\pi\)
−0.486568 + 0.873643i \(0.661752\pi\)
\(114\) −6.19019 + 1.42502i −0.579764 + 0.133465i
\(115\) 1.65302 + 9.37472i 0.154145 + 0.874197i
\(116\) −20.1036 34.8204i −1.86657 3.23299i
\(117\) 4.98658 2.42436i 0.461010 0.224132i
\(118\) −10.9472 + 18.9612i −1.00777 + 1.74552i
\(119\) −4.85575 1.76735i −0.445126 0.162013i
\(120\) 20.5398 + 2.53508i 1.87502 + 0.231420i
\(121\) 5.46313 + 4.58411i 0.496648 + 0.416737i
\(122\) 9.20478 + 7.72372i 0.833361 + 0.699273i
\(123\) 15.4555 + 1.90757i 1.39358 + 0.172000i
\(124\) 18.0393 + 6.56576i 1.61998 + 0.589623i
\(125\) −5.40053 + 9.35399i −0.483038 + 0.836646i
\(126\) 6.66295 3.23937i 0.593582 0.288586i
\(127\) 8.88379 + 15.3872i 0.788309 + 1.36539i 0.927002 + 0.375056i \(0.122377\pi\)
−0.138693 + 0.990335i \(0.544290\pi\)
\(128\) −3.23587 18.3515i −0.286013 1.62206i
\(129\) 10.6488 2.45141i 0.937573 0.215835i
\(130\) 9.88799 3.59893i 0.867234 0.315647i
\(131\) 0.212585 1.20563i 0.0185736 0.105336i −0.974112 0.226068i \(-0.927413\pi\)
0.992685 + 0.120731i \(0.0385240\pi\)
\(132\) −1.56309 30.1887i −0.136049 2.62759i
\(133\) −1.13760 + 0.954563i −0.0986428 + 0.0827711i
\(134\) 1.17579 0.101573
\(135\) 5.78788 + 10.4882i 0.498141 + 0.902683i
\(136\) 26.7819 2.29653
\(137\) 11.2460 9.43653i 0.960813 0.806217i −0.0202725 0.999794i \(-0.506453\pi\)
0.981085 + 0.193577i \(0.0620089\pi\)
\(138\) −15.7319 8.02825i −1.33919 0.683410i
\(139\) −2.31501 + 13.1291i −0.196356 + 1.11359i 0.714118 + 0.700026i \(0.246828\pi\)
−0.910474 + 0.413566i \(0.864283\pi\)
\(140\) 8.87934 3.23181i 0.750441 0.273138i
\(141\) 11.4964 + 12.3439i 0.968171 + 1.03955i
\(142\) −3.87608 21.9823i −0.325273 1.84472i
\(143\) −3.93499 6.81560i −0.329060 0.569949i
\(144\) −9.60292 + 9.91912i −0.800243 + 0.826593i
\(145\) 11.3077 19.5855i 0.939052 1.62649i
\(146\) −25.7468 9.37105i −2.13082 0.775554i
\(147\) 1.04324 1.38262i 0.0860453 0.114037i
\(148\) 23.3731 + 19.6124i 1.92126 + 1.61213i
\(149\) −0.678834 0.569609i −0.0556122 0.0466642i 0.614558 0.788872i \(-0.289334\pi\)
−0.670170 + 0.742208i \(0.733779\pi\)
\(150\) 0.525522 + 1.24022i 0.0429087 + 0.101264i
\(151\) −2.66322 0.969332i −0.216730 0.0788831i 0.231374 0.972865i \(-0.425678\pi\)
−0.448103 + 0.893982i \(0.647900\pi\)
\(152\) 3.84838 6.66559i 0.312145 0.540651i
\(153\) 9.09616 + 12.5530i 0.735381 + 1.01485i
\(154\) −5.25784 9.10684i −0.423689 0.733850i
\(155\) 1.87501 + 10.6337i 0.150605 + 0.854122i
\(156\) −3.84407 + 12.5452i −0.307772 + 1.00442i
\(157\) 0.665378 0.242178i 0.0531029 0.0193279i −0.315332 0.948981i \(-0.602116\pi\)
0.368435 + 0.929653i \(0.379894\pi\)
\(158\) 1.83780 10.4227i 0.146208 0.829186i
\(159\) −14.8315 + 9.61843i −1.17621 + 0.762791i
\(160\) −1.76450 + 1.48059i −0.139496 + 0.117051i
\(161\) −4.12913 −0.325421
\(162\) −22.0019 3.14862i −1.72863 0.247379i
\(163\) −15.0892 −1.18187 −0.590937 0.806717i \(-0.701242\pi\)
−0.590937 + 0.806717i \(0.701242\pi\)
\(164\) −28.2298 + 23.6876i −2.20437 + 1.84969i
\(165\) 14.2658 9.25155i 1.11059 0.720232i
\(166\) 2.61094 14.8074i 0.202648 1.14927i
\(167\) 7.22202 2.62860i 0.558857 0.203407i −0.0471205 0.998889i \(-0.515004\pi\)
0.605977 + 0.795482i \(0.292782\pi\)
\(168\) −2.63002 + 8.58310i −0.202911 + 0.662201i
\(169\) −1.66425 9.43845i −0.128019 0.726035i
\(170\) 14.7098 + 25.4782i 1.12819 + 1.95409i
\(171\) 4.43129 0.460113i 0.338869 0.0351857i
\(172\) −12.9291 + 22.3939i −0.985837 + 1.70752i
\(173\) −11.6080 4.22498i −0.882542 0.321219i −0.139307 0.990249i \(-0.544487\pi\)
−0.743235 + 0.669030i \(0.766710\pi\)
\(174\) 16.3708 + 38.6347i 1.24107 + 2.92889i
\(175\) 0.241230 + 0.202416i 0.0182353 + 0.0153012i
\(176\) 15.0113 + 12.5960i 1.13152 + 0.949457i
\(177\) 9.24913 12.2580i 0.695207 0.921365i
\(178\) −23.4836 8.54733i −1.76017 0.640650i
\(179\) 0.519986 0.900643i 0.0388656 0.0673172i −0.845938 0.533281i \(-0.820959\pi\)
0.884804 + 0.465964i \(0.154292\pi\)
\(180\) −27.4969 6.89249i −2.04950 0.513736i
\(181\) 4.50940 + 7.81050i 0.335181 + 0.580550i 0.983520 0.180802i \(-0.0578693\pi\)
−0.648339 + 0.761352i \(0.724536\pi\)
\(182\) 0.792583 + 4.49496i 0.0587502 + 0.333189i
\(183\) −5.74369 6.16713i −0.424586 0.455887i
\(184\) 20.1102 7.31950i 1.48254 0.539601i
\(185\) −2.98012 + 16.9011i −0.219103 + 1.24259i
\(186\) −17.8446 9.10643i −1.30843 0.667716i
\(187\) 16.8556 14.1435i 1.23260 1.03427i
\(188\) −39.9170 −2.91124
\(189\) −4.91624 + 1.68243i −0.357604 + 0.122379i
\(190\) 8.45481 0.613376
\(191\) 3.35136 2.81213i 0.242496 0.203478i −0.513437 0.858127i \(-0.671628\pi\)
0.755933 + 0.654649i \(0.227184\pi\)
\(192\) 0.603335 + 11.6525i 0.0435419 + 0.840948i
\(193\) −2.38109 + 13.5038i −0.171395 + 0.972028i 0.770829 + 0.637043i \(0.219843\pi\)
−0.942223 + 0.334985i \(0.891269\pi\)
\(194\) 8.25144 3.00328i 0.592419 0.215623i
\(195\) −7.19202 + 1.65564i −0.515031 + 0.118563i
\(196\) 0.711733 + 4.03644i 0.0508381 + 0.288317i
\(197\) 8.02620 + 13.9018i 0.571843 + 0.990461i 0.996377 + 0.0850492i \(0.0271047\pi\)
−0.424534 + 0.905412i \(0.639562\pi\)
\(198\) −2.24019 + 31.4674i −0.159203 + 2.23629i
\(199\) 0.866270 1.50042i 0.0614083 0.106362i −0.833687 0.552237i \(-0.813774\pi\)
0.895095 + 0.445875i \(0.147108\pi\)
\(200\) −1.53368 0.558213i −0.108447 0.0394716i
\(201\) −0.818441 0.101014i −0.0577284 0.00712501i
\(202\) 5.99834 + 5.03320i 0.422041 + 0.354135i
\(203\) 7.51467 + 6.30555i 0.527426 + 0.442563i
\(204\) −36.4079 4.49357i −2.54906 0.314613i
\(205\) −19.4778 7.08934i −1.36039 0.495141i
\(206\) 11.7495 20.3507i 0.818625 1.41790i
\(207\) 10.2609 + 6.93986i 0.713182 + 0.482354i
\(208\) −4.25277 7.36601i −0.294876 0.510741i
\(209\) −1.09806 6.22740i −0.0759543 0.430758i
\(210\) −9.60980 + 2.21223i −0.663139 + 0.152658i
\(211\) −6.11404 + 2.22533i −0.420908 + 0.153198i −0.543786 0.839224i \(-0.683010\pi\)
0.122878 + 0.992422i \(0.460788\pi\)
\(212\) 7.26395 41.1959i 0.498890 2.82935i
\(213\) 0.809508 + 15.6344i 0.0554666 + 1.07125i
\(214\) 6.56341 5.50736i 0.448666 0.376475i
\(215\) −14.5445 −0.991930
\(216\) 20.9613 16.9087i 1.42623 1.15049i
\(217\) −4.68367 −0.317948
\(218\) 9.90357 8.31009i 0.670755 0.562830i
\(219\) 17.1167 + 8.73496i 1.15664 + 0.590254i
\(220\) −6.98688 + 39.6245i −0.471055 + 2.67149i
\(221\) −8.97454 + 3.26647i −0.603693 + 0.219726i
\(222\) −21.7013 23.3011i −1.45649 1.56387i
\(223\) −4.26418 24.1834i −0.285551 1.61944i −0.703311 0.710882i \(-0.748296\pi\)
0.417760 0.908557i \(-0.362815\pi\)
\(224\) −0.499561 0.865266i −0.0333783 0.0578130i
\(225\) −0.259255 0.908440i −0.0172837 0.0605627i
\(226\) −19.8471 + 34.3761i −1.32021 + 2.28666i
\(227\) 19.7657 + 7.19411i 1.31189 + 0.477490i 0.900852 0.434127i \(-0.142943\pi\)
0.411041 + 0.911617i \(0.365165\pi\)
\(228\) −6.34995 + 8.41565i −0.420535 + 0.557340i
\(229\) 13.3188 + 11.1758i 0.880131 + 0.738518i 0.966206 0.257771i \(-0.0829880\pi\)
−0.0860749 + 0.996289i \(0.527432\pi\)
\(230\) 18.0086 + 15.1110i 1.18745 + 0.996390i
\(231\) 2.87748 + 6.79080i 0.189324 + 0.446802i
\(232\) −47.7763 17.3892i −3.13667 1.14165i
\(233\) −0.973667 + 1.68644i −0.0637870 + 0.110482i −0.896155 0.443741i \(-0.853651\pi\)
0.832368 + 0.554223i \(0.186985\pi\)
\(234\) 5.58514 12.5021i 0.365112 0.817286i
\(235\) −11.2261 19.4441i −0.732309 1.26840i
\(236\) 6.31004 + 35.7860i 0.410749 + 2.32947i
\(237\) −2.17469 + 7.09714i −0.141262 + 0.461009i
\(238\) −11.9916 + 4.36457i −0.777297 + 0.282913i
\(239\) −1.21595 + 6.89600i −0.0786533 + 0.446065i 0.919893 + 0.392169i \(0.128275\pi\)
−0.998547 + 0.0538963i \(0.982836\pi\)
\(240\) 15.4178 9.99867i 0.995216 0.645411i
\(241\) 0.526166 0.441506i 0.0338934 0.0284399i −0.625684 0.780077i \(-0.715180\pi\)
0.659577 + 0.751637i \(0.270735\pi\)
\(242\) 17.6119 1.13214
\(243\) 15.0445 + 4.08192i 0.965107 + 0.261855i
\(244\) 19.9429 1.27671
\(245\) −1.76604 + 1.48189i −0.112828 + 0.0946743i
\(246\) 32.2667 20.9254i 2.05725 1.33416i
\(247\) −0.476610 + 2.70299i −0.0303260 + 0.171987i
\(248\) 22.8109 8.30250i 1.44850 0.527209i
\(249\) −3.08955 + 10.0828i −0.195792 + 0.638970i
\(250\) 4.63186 + 26.2686i 0.292945 + 1.66137i
\(251\) −2.95629 5.12045i −0.186600 0.323200i 0.757515 0.652818i \(-0.226413\pi\)
−0.944114 + 0.329618i \(0.893080\pi\)
\(252\) 5.01541 11.2268i 0.315941 0.707220i
\(253\) 8.79118 15.2268i 0.552697 0.957299i
\(254\) 41.2319 + 15.0072i 2.58712 + 0.941634i
\(255\) −8.05032 18.9986i −0.504131 1.18974i
\(256\) −24.9318 20.9202i −1.55824 1.30751i
\(257\) 4.67780 + 3.92514i 0.291793 + 0.244843i 0.776919 0.629601i \(-0.216782\pi\)
−0.485126 + 0.874444i \(0.661226\pi\)
\(258\) 16.2539 21.5414i 1.01192 1.34111i
\(259\) −6.99522 2.54605i −0.434662 0.158204i
\(260\) 8.73213 15.1245i 0.541544 0.937981i
\(261\) −8.07617 28.2992i −0.499903 1.75168i
\(262\) −1.51165 2.61826i −0.0933901 0.161756i
\(263\) 0.140115 + 0.794630i 0.00863984 + 0.0489990i 0.988823 0.149095i \(-0.0476360\pi\)
−0.980183 + 0.198094i \(0.936525\pi\)
\(264\) −26.0519 27.9725i −1.60339 1.72159i
\(265\) 22.1100 8.04739i 1.35821 0.494347i
\(266\) −0.636834 + 3.61167i −0.0390468 + 0.221445i
\(267\) 15.6121 + 7.96715i 0.955447 + 0.487582i
\(268\) 1.49489 1.25437i 0.0913152 0.0766226i
\(269\) −21.1169 −1.28752 −0.643761 0.765226i \(-0.722627\pi\)
−0.643761 + 0.765226i \(0.722627\pi\)
\(270\) 27.5985 + 10.6538i 1.67959 + 0.648372i
\(271\) −19.9724 −1.21324 −0.606620 0.794992i \(-0.707475\pi\)
−0.606620 + 0.794992i \(0.707475\pi\)
\(272\) 18.2167 15.2857i 1.10455 0.926829i
\(273\) −0.165529 3.19694i −0.0100183 0.193488i
\(274\) 6.29556 35.7039i 0.380329 2.15695i
\(275\) −1.26003 + 0.458614i −0.0759827 + 0.0276555i
\(276\) −28.5663 + 6.57612i −1.71949 + 0.395836i
\(277\) 1.28890 + 7.30974i 0.0774427 + 0.439199i 0.998733 + 0.0503238i \(0.0160253\pi\)
−0.921290 + 0.388876i \(0.872864\pi\)
\(278\) 16.4616 + 28.5123i 0.987299 + 1.71005i
\(279\) 11.6389 + 7.87187i 0.696804 + 0.471277i
\(280\) 5.97432 10.3478i 0.357034 0.618401i
\(281\) −31.1604 11.3415i −1.85887 0.676574i −0.979831 0.199830i \(-0.935961\pi\)
−0.879042 0.476744i \(-0.841817\pi\)
\(282\) 41.3435 + 5.10274i 2.46197 + 0.303864i
\(283\) 3.21218 + 2.69534i 0.190944 + 0.160221i 0.733248 0.679961i \(-0.238003\pi\)
−0.542304 + 0.840183i \(0.682448\pi\)
\(284\) −28.3795 23.8132i −1.68401 1.41305i
\(285\) −5.88522 0.726371i −0.348610 0.0430265i
\(286\) −18.2633 6.64728i −1.07993 0.393062i
\(287\) 4.49548 7.78641i 0.265360 0.459617i
\(288\) −0.212846 + 2.98980i −0.0125421 + 0.176176i
\(289\) −4.85094 8.40207i −0.285349 0.494239i
\(290\) −9.69823 55.0014i −0.569500 3.22979i
\(291\) −6.00167 + 1.38162i −0.351824 + 0.0809920i
\(292\) −42.7317 + 15.5531i −2.50069 + 0.910175i
\(293\) −0.0506096 + 0.287021i −0.00295665 + 0.0167680i −0.986250 0.165258i \(-0.947154\pi\)
0.983294 + 0.182026i \(0.0582655\pi\)
\(294\) −0.221175 4.27167i −0.0128992 0.249129i
\(295\) −15.6573 + 13.1380i −0.911603 + 0.764926i
\(296\) 38.5821 2.24254
\(297\) 4.26278 21.7113i 0.247352 1.25982i
\(298\) −2.18841 −0.126771
\(299\) −5.84613 + 4.90549i −0.338090 + 0.283692i
\(300\) 1.99125 + 1.01617i 0.114965 + 0.0586687i
\(301\) 1.09553 6.21304i 0.0631451 0.358114i
\(302\) −6.57697 + 2.39382i −0.378462 + 0.137749i
\(303\) −3.74291 4.01884i −0.215024 0.230876i
\(304\) −1.18673 6.73030i −0.0680638 0.386009i
\(305\) 5.60865 + 9.71446i 0.321150 + 0.556248i
\(306\) 37.1346 + 9.30832i 2.12284 + 0.532121i
\(307\) 9.34124 16.1795i 0.533133 0.923413i −0.466118 0.884722i \(-0.654348\pi\)
0.999251 0.0386907i \(-0.0123187\pi\)
\(308\) −16.4003 5.96921i −0.934492 0.340127i
\(309\) −9.92695 + 13.1563i −0.564724 + 0.748435i
\(310\) 20.4271 + 17.1404i 1.16018 + 0.973508i
\(311\) 9.19094 + 7.71211i 0.521170 + 0.437314i 0.865040 0.501704i \(-0.167293\pi\)
−0.343869 + 0.939018i \(0.611738\pi\)
\(312\) 6.47323 + 15.2767i 0.366475 + 0.864872i
\(313\) 28.3852 + 10.3314i 1.60442 + 0.583963i 0.980326 0.197384i \(-0.0632445\pi\)
0.624098 + 0.781346i \(0.285467\pi\)
\(314\) 0.874322 1.51437i 0.0493408 0.0854608i
\(315\) 6.87924 0.714290i 0.387601 0.0402457i
\(316\) −8.78268 15.2120i −0.494064 0.855744i
\(317\) −0.146198 0.829129i −0.00821129 0.0465685i 0.980427 0.196884i \(-0.0630822\pi\)
−0.988638 + 0.150315i \(0.951971\pi\)
\(318\) −12.7898 + 41.7396i −0.717215 + 2.34064i
\(319\) −39.2518 + 14.2865i −2.19768 + 0.799890i
\(320\) 2.69686 15.2947i 0.150759 0.854997i
\(321\) −5.04181 + 3.26968i −0.281406 + 0.182496i
\(322\) −7.81145 + 6.55459i −0.435315 + 0.365273i
\(323\) −7.67376 −0.426979
\(324\) −31.3322 + 19.4691i −1.74068 + 1.08162i
\(325\) 0.582013 0.0322843
\(326\) −28.5455 + 23.9525i −1.58099 + 1.32661i
\(327\) −7.60761 + 4.93364i −0.420702 + 0.272831i
\(328\) −8.09185 + 45.8911i −0.446797 + 2.53391i
\(329\) 9.15159 3.33091i 0.504543 0.183639i
\(330\) 12.3019 40.1475i 0.677199 2.21004i
\(331\) 0.771267 + 4.37407i 0.0423927 + 0.240421i 0.998640 0.0521392i \(-0.0166040\pi\)
−0.956247 + 0.292560i \(0.905493\pi\)
\(332\) −12.4774 21.6115i −0.684786 1.18608i
\(333\) 13.1040 + 18.0838i 0.718092 + 0.990988i
\(334\) 9.48991 16.4370i 0.519264 0.899392i
\(335\) 1.03144 + 0.375413i 0.0563535 + 0.0205110i
\(336\) 3.10986 + 7.33919i 0.169657 + 0.400386i
\(337\) −0.678252 0.569121i −0.0369467 0.0310020i 0.624127 0.781323i \(-0.285455\pi\)
−0.661074 + 0.750321i \(0.729899\pi\)
\(338\) −18.1310 15.2137i −0.986197 0.827518i
\(339\) 16.7685 22.2234i 0.910737 1.20701i
\(340\) 45.8830 + 16.7000i 2.48835 + 0.905686i
\(341\) 9.97182 17.2717i 0.540004 0.935315i
\(342\) 7.65268 7.90466i 0.413810 0.427435i
\(343\) −0.500000 0.866025i −0.0269975 0.0467610i
\(344\) 5.67798 + 32.2014i 0.306136 + 1.73618i
\(345\) −11.2372 12.0656i −0.604990 0.649591i
\(346\) −28.6667 + 10.4338i −1.54113 + 0.560925i
\(347\) −0.272248 + 1.54399i −0.0146150 + 0.0828859i −0.991243 0.132051i \(-0.957844\pi\)
0.976628 + 0.214937i \(0.0689547\pi\)
\(348\) 62.0305 + 31.6553i 3.32518 + 1.69690i
\(349\) −9.94045 + 8.34103i −0.532100 + 0.446485i −0.868826 0.495118i \(-0.835125\pi\)
0.336726 + 0.941603i \(0.390680\pi\)
\(350\) 0.777672 0.0415683
\(351\) −4.96178 + 8.22261i −0.264840 + 0.438890i
\(352\) 4.25439 0.226760
\(353\) −10.9864 + 9.21870i −0.584748 + 0.490662i −0.886502 0.462724i \(-0.846872\pi\)
0.301755 + 0.953386i \(0.402428\pi\)
\(354\) −1.96088 37.8716i −0.104220 2.01285i
\(355\) 3.61844 20.5212i 0.192047 1.08915i
\(356\) −38.9756 + 14.1860i −2.06570 + 0.751854i
\(357\) 8.72205 2.00787i 0.461620 0.106268i
\(358\) −0.445976 2.52925i −0.0235705 0.133675i
\(359\) 6.74707 + 11.6863i 0.356096 + 0.616777i 0.987305 0.158836i \(-0.0507741\pi\)
−0.631209 + 0.775613i \(0.717441\pi\)
\(360\) −32.2379 + 15.6733i −1.69908 + 0.826055i
\(361\) 8.39733 14.5446i 0.441965 0.765506i
\(362\) 20.9292 + 7.61762i 1.10002 + 0.400373i
\(363\) −12.2593 1.51308i −0.643445 0.0794159i
\(364\) 5.80305 + 4.86934i 0.304163 + 0.255223i
\(365\) −19.5938 16.4412i −1.02559 0.860571i
\(366\) −20.6556 2.54937i −1.07968 0.133258i
\(367\) 8.27396 + 3.01148i 0.431897 + 0.157198i 0.548815 0.835944i \(-0.315079\pi\)
−0.116918 + 0.993142i \(0.537301\pi\)
\(368\) 9.50112 16.4564i 0.495280 0.857851i
\(369\) −24.2579 + 11.7936i −1.26282 + 0.613952i
\(370\) 21.1910 + 36.7039i 1.10167 + 1.90815i
\(371\) 1.77225 + 10.0509i 0.0920108 + 0.521819i
\(372\) −32.4027 + 7.45929i −1.68000 + 0.386746i
\(373\) 31.3184 11.3990i 1.62161 0.590217i 0.637919 0.770103i \(-0.279795\pi\)
0.983687 + 0.179887i \(0.0575731\pi\)
\(374\) 9.43579 53.5130i 0.487913 2.76709i
\(375\) −0.967351 18.6830i −0.0499538 0.964783i
\(376\) −38.6666 + 32.4451i −1.99408 + 1.67323i
\(377\) 18.1306 0.933771
\(378\) −6.62981 + 10.9868i −0.341000 + 0.565102i
\(379\) 9.41165 0.483444 0.241722 0.970346i \(-0.422288\pi\)
0.241722 + 0.970346i \(0.422288\pi\)
\(380\) 10.7494 9.01985i 0.551435 0.462709i
\(381\) −27.4114 13.9885i −1.40433 0.716653i
\(382\) 1.87610 10.6399i 0.0959897 0.544385i
\(383\) −9.67096 + 3.51994i −0.494163 + 0.179861i −0.577067 0.816697i \(-0.695803\pi\)
0.0829039 + 0.996558i \(0.473581\pi\)
\(384\) 21.9974 + 23.6191i 1.12255 + 1.20531i
\(385\) −1.70465 9.66757i −0.0868772 0.492705i
\(386\) 16.9315 + 29.3262i 0.861790 + 1.49266i
\(387\) −13.1647 + 13.5981i −0.669198 + 0.691233i
\(388\) 7.28688 12.6213i 0.369935 0.640747i
\(389\) 0.920349 + 0.334980i 0.0466635 + 0.0169841i 0.365246 0.930911i \(-0.380985\pi\)
−0.318583 + 0.947895i \(0.603207\pi\)
\(390\) −10.9776 + 14.5487i −0.555873 + 0.736704i
\(391\) −16.3450 13.7150i −0.826600 0.693600i
\(392\) 3.97031 + 3.33149i 0.200531 + 0.168266i
\(393\) 0.827289 + 1.95238i 0.0417312 + 0.0984847i
\(394\) 37.2516 + 13.5585i 1.87671 + 0.683066i
\(395\) 4.94001 8.55634i 0.248559 0.430516i
\(396\) 30.7222 + 42.3975i 1.54385 + 2.13055i
\(397\) 8.29004 + 14.3588i 0.416065 + 0.720646i 0.995540 0.0943443i \(-0.0300754\pi\)
−0.579474 + 0.814990i \(0.696742\pi\)
\(398\) −0.742972 4.21360i −0.0372418 0.211209i
\(399\) 0.753573 2.45929i 0.0377259 0.123119i
\(400\) −1.36179 + 0.495650i −0.0680893 + 0.0247825i
\(401\) −3.92159 + 22.2404i −0.195835 + 1.11063i 0.715390 + 0.698725i \(0.246249\pi\)
−0.911225 + 0.411909i \(0.864862\pi\)
\(402\) −1.70867 + 1.10810i −0.0852207 + 0.0552668i
\(403\) −6.63126 + 5.56429i −0.330326 + 0.277177i
\(404\) 12.9959 0.646568
\(405\) −18.2954 9.78696i −0.909107 0.486318i
\(406\) 24.2256 1.20230
\(407\) 24.2822 20.3752i 1.20362 1.00996i
\(408\) −38.9198 + 25.2401i −1.92682 + 1.24957i
\(409\) 2.19453 12.4458i 0.108512 0.615404i −0.881247 0.472656i \(-0.843295\pi\)
0.989759 0.142748i \(-0.0455937\pi\)
\(410\) −48.1015 + 17.5075i −2.37557 + 0.864635i
\(411\) −7.44961 + 24.3119i −0.367462 + 1.19922i
\(412\) −6.77247 38.4086i −0.333656 1.89226i
\(413\) −4.43287 7.67796i −0.218127 0.377808i
\(414\) 30.4278 3.15940i 1.49545 0.155276i
\(415\) 7.01818 12.1559i 0.344509 0.596707i
\(416\) −1.73524 0.631577i −0.0850773 0.0309656i
\(417\) −9.00900 21.2610i −0.441173 1.04116i
\(418\) −11.9627 10.0379i −0.585113 0.490968i
\(419\) −5.44354 4.56767i −0.265934 0.223145i 0.500063 0.865989i \(-0.333310\pi\)
−0.765998 + 0.642843i \(0.777755\pi\)
\(420\) −9.85781 + 13.0647i −0.481012 + 0.637490i
\(421\) 2.70353 + 0.984003i 0.131762 + 0.0479574i 0.407059 0.913402i \(-0.366554\pi\)
−0.275298 + 0.961359i \(0.588776\pi\)
\(422\) −8.03399 + 13.9153i −0.391089 + 0.677385i
\(423\) −28.3400 7.10382i −1.37794 0.345400i
\(424\) −26.4482 45.8097i −1.28444 2.22471i
\(425\) 0.282565 + 1.60251i 0.0137064 + 0.0777330i
\(426\) 26.3495 + 28.2921i 1.27664 + 1.37076i
\(427\) −4.57221 + 1.66415i −0.221265 + 0.0805338i
\(428\) 2.46930 14.0041i 0.119358 0.676914i
\(429\) 12.1416 + 6.19607i 0.586202 + 0.299149i
\(430\) −27.5152 + 23.0880i −1.32690 + 1.11340i
\(431\) −2.08942 −0.100644 −0.0503218 0.998733i \(-0.516025\pi\)
−0.0503218 + 0.998733i \(0.516025\pi\)
\(432\) 4.60703 23.4647i 0.221656 1.12894i
\(433\) −21.1971 −1.01867 −0.509334 0.860569i \(-0.670108\pi\)
−0.509334 + 0.860569i \(0.670108\pi\)
\(434\) −8.86052 + 7.43486i −0.425319 + 0.356885i
\(435\) 2.02545 + 39.1185i 0.0971128 + 1.87559i
\(436\) 3.72594 21.1309i 0.178440 1.01199i
\(437\) −5.76212 + 2.09724i −0.275639 + 0.100325i
\(438\) 46.2471 10.6463i 2.20977 0.508702i
\(439\) −5.75682 32.6486i −0.274758 1.55823i −0.739729 0.672905i \(-0.765046\pi\)
0.464971 0.885326i \(-0.346065\pi\)
\(440\) 25.4394 + 44.0623i 1.21278 + 2.10059i
\(441\) −0.213033 + 2.99243i −0.0101444 + 0.142497i
\(442\) −11.7928 + 20.4257i −0.560924 + 0.971549i
\(443\) 18.9401 + 6.89363i 0.899871 + 0.327526i 0.750201 0.661210i \(-0.229957\pi\)
0.149670 + 0.988736i \(0.452179\pi\)
\(444\) −52.4493 6.47345i −2.48914 0.307217i
\(445\) −17.8715 14.9960i −0.847192 0.710878i
\(446\) −46.4556 38.9809i −2.19974 1.84580i
\(447\) 1.52331 + 0.188011i 0.0720499 + 0.00889261i
\(448\) 6.33033 + 2.30405i 0.299080 + 0.108856i
\(449\) −9.86185 + 17.0812i −0.465410 + 0.806113i −0.999220 0.0394912i \(-0.987426\pi\)
0.533810 + 0.845604i \(0.320760\pi\)
\(450\) −1.93251 1.30704i −0.0910996 0.0616143i
\(451\) 19.1423 + 33.1555i 0.901377 + 1.56123i
\(452\) 11.4400 + 64.8792i 0.538090 + 3.05166i
\(453\) 4.78375 1.10125i 0.224760 0.0517411i
\(454\) 48.8124 17.7663i 2.29088 0.833812i
\(455\) −0.739901 + 4.19619i −0.0346871 + 0.196720i
\(456\) 0.689328 + 13.3134i 0.0322807 + 0.623455i
\(457\) −5.28992 + 4.43877i −0.247452 + 0.207637i −0.758074 0.652168i \(-0.773860\pi\)
0.510622 + 0.859805i \(0.329415\pi\)
\(458\) 42.9368 2.00631
\(459\) −25.0489 9.66964i −1.16918 0.451340i
\(460\) 39.0170 1.81918
\(461\) 10.3407 8.67688i 0.481615 0.404123i −0.369395 0.929272i \(-0.620435\pi\)
0.851010 + 0.525150i \(0.175991\pi\)
\(462\) 16.2233 + 8.27904i 0.754776 + 0.385176i
\(463\) 5.03003 28.5267i 0.233766 1.32575i −0.611432 0.791297i \(-0.709406\pi\)
0.845198 0.534453i \(-0.179483\pi\)
\(464\) −42.4216 + 15.4402i −1.96938 + 0.716794i
\(465\) −12.7463 13.6860i −0.591097 0.634673i
\(466\) 0.835083 + 4.73599i 0.0386845 + 0.219390i
\(467\) −16.4666 28.5210i −0.761984 1.31980i −0.941826 0.336100i \(-0.890892\pi\)
0.179842 0.983695i \(-0.442441\pi\)
\(468\) −6.23666 21.8535i −0.288290 1.01018i
\(469\) −0.238056 + 0.412326i −0.0109924 + 0.0190394i
\(470\) −52.1030 18.9640i −2.40333 0.874742i
\(471\) −0.738700 + 0.979007i −0.0340375 + 0.0451102i
\(472\) 35.1998 + 29.5361i 1.62020 + 1.35951i
\(473\) 20.5790 + 17.2678i 0.946224 + 0.793976i
\(474\) 7.15193 + 16.8784i 0.328499 + 0.775251i
\(475\) 0.439441 + 0.159943i 0.0201629 + 0.00733870i
\(476\) −10.5898 + 18.3421i −0.485383 + 0.840708i
\(477\) 12.4886 27.9553i 0.571815 1.27998i
\(478\) 8.64639 + 14.9760i 0.395477 + 0.684986i
\(479\) −3.93413 22.3116i −0.179755 1.01944i −0.932511 0.361142i \(-0.882387\pi\)
0.752756 0.658300i \(-0.228724\pi\)
\(480\) 1.16884 3.81452i 0.0533500 0.174108i
\(481\) −12.9288 + 4.70568i −0.589500 + 0.214561i
\(482\) 0.294550 1.67047i 0.0134164 0.0760880i
\(483\) 6.00051 3.89142i 0.273033 0.177066i
\(484\) 22.3918 18.7889i 1.01781 0.854042i
\(485\) 8.19733 0.372222
\(486\) 34.9407 16.1596i 1.58494 0.733013i
\(487\) −17.0293 −0.771672 −0.385836 0.922567i \(-0.626087\pi\)
−0.385836 + 0.922567i \(0.626087\pi\)
\(488\) 19.3181 16.2098i 0.874491 0.733785i
\(489\) 21.9278 14.2205i 0.991608 0.643072i
\(490\) −0.988637 + 5.60684i −0.0446621 + 0.253291i
\(491\) 21.8486 7.95225i 0.986015 0.358880i 0.201839 0.979419i \(-0.435308\pi\)
0.784176 + 0.620539i \(0.213086\pi\)
\(492\) 18.7000 61.0277i 0.843061 2.75134i
\(493\) 8.80231 + 49.9204i 0.396436 + 2.24830i
\(494\) 3.38908 + 5.87006i 0.152482 + 0.264106i
\(495\) −12.0123 + 26.8889i −0.539911 + 1.20857i
\(496\) 10.7771 18.6665i 0.483906 0.838151i
\(497\) 8.49355 + 3.09140i 0.380988 + 0.138668i
\(498\) 10.1606 + 23.9789i 0.455309 + 1.07452i
\(499\) 16.8669 + 14.1530i 0.755064 + 0.633574i 0.936837 0.349766i \(-0.113739\pi\)
−0.181773 + 0.983341i \(0.558183\pi\)
\(500\) 33.9131 + 28.4565i 1.51664 + 1.27261i
\(501\) −8.01787 + 10.6262i −0.358212 + 0.474742i
\(502\) −13.7209 4.99400i −0.612394 0.222893i
\(503\) 0.888647 1.53918i 0.0396228 0.0686287i −0.845534 0.533922i \(-0.820718\pi\)
0.885157 + 0.465293i \(0.154051\pi\)
\(504\) −4.26698 14.9517i −0.190066 0.666001i
\(505\) 3.65490 + 6.33047i 0.162641 + 0.281702i
\(506\) −7.53991 42.7610i −0.335190 1.90096i
\(507\) 11.3136 + 12.1476i 0.502454 + 0.539496i
\(508\) 68.4323 24.9073i 3.03619 1.10508i
\(509\) 1.48161 8.40263i 0.0656712 0.372440i −0.934205 0.356735i \(-0.883890\pi\)
0.999877 0.0157045i \(-0.00499911\pi\)
\(510\) −45.3879 23.1622i −2.00981 1.02564i
\(511\) 8.49908 7.13157i 0.375977 0.315482i
\(512\) −43.1052 −1.90500
\(513\) −6.00598 + 4.84481i −0.265171 + 0.213904i
\(514\) 15.0802 0.665158
\(515\) 16.8047 14.1008i 0.740505 0.621357i
\(516\) −2.31589 44.7279i −0.101951 1.96904i
\(517\) −7.20110 + 40.8395i −0.316704 + 1.79612i
\(518\) −17.2751 + 6.28762i −0.759024 + 0.276262i
\(519\) 20.8507 4.79995i 0.915243 0.210694i
\(520\) −3.83481 21.7483i −0.168168 0.953727i
\(521\) 11.7032 + 20.2705i 0.512726 + 0.888067i 0.999891 + 0.0147572i \(0.00469754\pi\)
−0.487165 + 0.873310i \(0.661969\pi\)
\(522\) −60.2007 40.7161i −2.63491 1.78210i
\(523\) −8.71910 + 15.1019i −0.381260 + 0.660361i −0.991243 0.132053i \(-0.957843\pi\)
0.609983 + 0.792415i \(0.291176\pi\)
\(524\) −4.71515 1.71617i −0.205982 0.0749714i
\(525\) −0.541321 0.0668115i −0.0236252 0.00291589i
\(526\) 1.52646 + 1.28085i 0.0665570 + 0.0558479i
\(527\) −18.5401 15.5570i −0.807618 0.677672i
\(528\) −33.6854 4.15755i −1.46597 0.180934i
\(529\) 5.59140 + 2.03510i 0.243104 + 0.0884828i
\(530\) 29.0531 50.3214i 1.26199 2.18582i
\(531\) −1.88870 + 26.5301i −0.0819625 + 1.15131i
\(532\) 3.04337 + 5.27126i 0.131947 + 0.228538i
\(533\) −2.88557 16.3649i −0.124988 0.708843i
\(534\) 42.1819 9.71053i 1.82539 0.420216i
\(535\) 7.51606 2.73562i 0.324948 0.118271i
\(536\) 0.428500 2.43014i 0.0185084 0.104966i
\(537\) 0.0931408 + 1.79888i 0.00401932 + 0.0776272i
\(538\) −39.9488 + 33.5210i −1.72232 + 1.44519i
\(539\) 4.25812 0.183410
\(540\) 46.4545 15.8976i 1.99908 0.684124i
\(541\) 32.8652 1.41298 0.706492 0.707721i \(-0.250277\pi\)
0.706492 + 0.707721i \(0.250277\pi\)
\(542\) −37.7837 + 31.7043i −1.62295 + 1.36181i
\(543\) −13.9140 7.10054i −0.597105 0.304713i
\(544\) 0.896520 5.08442i 0.0384380 0.217993i
\(545\) 11.3410 4.12780i 0.485796 0.176815i
\(546\) −5.38797 5.78518i −0.230584 0.247583i
\(547\) 4.41613 + 25.0451i 0.188820 + 1.07085i 0.920948 + 0.389685i \(0.127416\pi\)
−0.732128 + 0.681167i \(0.761473\pi\)
\(548\) −30.0858 52.1102i −1.28520 2.22604i
\(549\) 14.1589 + 3.54913i 0.604287 + 0.151473i
\(550\) −1.65571 + 2.86777i −0.0705997 + 0.122282i
\(551\) 13.6892 + 4.98247i 0.583180 + 0.212260i
\(552\) −22.3263 + 29.5892i −0.950268 + 1.25940i
\(553\) 3.28295 + 2.75472i 0.139605 + 0.117143i
\(554\) 14.0418 + 11.7825i 0.596579 + 0.500589i
\(555\) −11.5973 27.3694i −0.492279 1.16177i
\(556\) 51.3470 + 18.6888i 2.17760 + 0.792580i
\(557\) −16.9050 + 29.2804i −0.716289 + 1.24065i 0.246171 + 0.969226i \(0.420827\pi\)
−0.962460 + 0.271423i \(0.912506\pi\)
\(558\) 34.5142 3.58371i 1.46110 0.151710i
\(559\) −5.83013 10.0981i −0.246588 0.427103i
\(560\) −1.84231 10.4483i −0.0778520 0.441521i
\(561\) −11.1655 + 36.4387i −0.471407 + 1.53844i
\(562\) −76.9523 + 28.0084i −3.24604 + 1.18146i
\(563\) −2.03505 + 11.5413i −0.0857671 + 0.486410i 0.911421 + 0.411474i \(0.134986\pi\)
−0.997188 + 0.0749351i \(0.976125\pi\)
\(564\) 58.0079 37.6189i 2.44257 1.58404i
\(565\) −28.3863 + 23.8189i −1.19422 + 1.00207i
\(566\) 10.3554 0.435268
\(567\) 5.55878 7.07814i 0.233447 0.297254i
\(568\) −46.8462 −1.96562
\(569\) −28.8259 + 24.1878i −1.20844 + 1.01400i −0.209096 + 0.977895i \(0.567052\pi\)
−0.999348 + 0.0361092i \(0.988504\pi\)
\(570\) −12.2866 + 7.96806i −0.514631 + 0.333745i
\(571\) 1.37286 7.78588i 0.0574525 0.325829i −0.942513 0.334170i \(-0.891544\pi\)
0.999965 + 0.00834107i \(0.00265508\pi\)
\(572\) −30.3114 + 11.0325i −1.26738 + 0.461290i
\(573\) −2.22001 + 7.24504i −0.0927424 + 0.302666i
\(574\) −3.85563 21.8664i −0.160931 0.912685i
\(575\) 0.650139 + 1.12607i 0.0271127 + 0.0469605i
\(576\) −11.8584 16.3650i −0.494102 0.681874i
\(577\) 15.5650 26.9593i 0.647978 1.12233i −0.335627 0.941995i \(-0.608948\pi\)
0.983605 0.180336i \(-0.0577184\pi\)
\(578\) −22.5144 8.19457i −0.936475 0.340849i
\(579\) −9.26618 21.8680i −0.385089 0.908802i
\(580\) −71.0075 59.5824i −2.94843 2.47402i
\(581\) 4.66403 + 3.91358i 0.193496 + 0.162363i
\(582\) −9.16072 + 12.1408i −0.379724 + 0.503252i
\(583\) −40.8375 14.8636i −1.69132 0.615589i
\(584\) −28.7514 + 49.7989i −1.18974 + 2.06069i
\(585\) 8.89121 9.18397i 0.367606 0.379710i
\(586\) 0.359875 + 0.623322i 0.0148663 + 0.0257492i
\(587\) 7.01467 + 39.7822i 0.289526 + 1.64199i 0.688654 + 0.725090i \(0.258202\pi\)
−0.399128 + 0.916895i \(0.630687\pi\)
\(588\) −4.83836 5.19505i −0.199530 0.214240i
\(589\) −6.53596 + 2.37890i −0.269310 + 0.0980207i
\(590\) −8.76500 + 49.7088i −0.360849 + 2.04648i
\(591\) −24.7652 12.6381i −1.01871 0.519863i
\(592\) 26.2431 22.0206i 1.07858 0.905040i
\(593\) −27.0218 −1.10965 −0.554826 0.831966i \(-0.687215\pi\)
−0.554826 + 0.831966i \(0.687215\pi\)
\(594\) −26.4003 47.8400i −1.08322 1.96290i
\(595\) −11.9129 −0.488382
\(596\) −2.78234 + 2.33466i −0.113969 + 0.0956315i
\(597\) 0.155168 + 2.99683i 0.00635059 + 0.122652i
\(598\) −3.27268 + 18.5603i −0.133830 + 0.758987i
\(599\) 1.90984 0.695125i 0.0780340 0.0284020i −0.302708 0.953083i \(-0.597891\pi\)
0.380742 + 0.924681i \(0.375669\pi\)
\(600\) 2.75484 0.634180i 0.112466 0.0258903i
\(601\) −3.25966 18.4865i −0.132964 0.754078i −0.976256 0.216622i \(-0.930496\pi\)
0.843291 0.537457i \(-0.180615\pi\)
\(602\) −7.79007 13.4928i −0.317500 0.549925i
\(603\) 1.28457 0.624527i 0.0523117 0.0254327i
\(604\) −5.80815 + 10.0600i −0.236330 + 0.409336i
\(605\) 15.4497 + 5.62324i 0.628121 + 0.228617i
\(606\) −13.4603 1.66131i −0.546787 0.0674861i
\(607\) 15.1305 + 12.6960i 0.614128 + 0.515315i 0.895952 0.444152i \(-0.146495\pi\)
−0.281824 + 0.959466i \(0.590939\pi\)
\(608\) −1.13661 0.953726i −0.0460955 0.0386787i
\(609\) −16.8629 2.08128i −0.683321 0.0843375i
\(610\) 26.0311 + 9.47455i 1.05397 + 0.383613i
\(611\) 8.99987 15.5882i 0.364096 0.630632i
\(612\) 57.1433 27.7817i 2.30988 1.12301i
\(613\) 13.3707 + 23.1587i 0.540036 + 0.935370i 0.998901 + 0.0468643i \(0.0149228\pi\)
−0.458865 + 0.888506i \(0.651744\pi\)
\(614\) −8.01168 45.4365i −0.323325 1.83367i
\(615\) 34.9866 8.05412i 1.41080 0.324773i
\(616\) −20.7384 + 7.54815i −0.835573 + 0.304124i
\(617\) 2.62537 14.8892i 0.105693 0.599416i −0.885248 0.465119i \(-0.846011\pi\)
0.990941 0.134297i \(-0.0428775\pi\)
\(618\) 2.10459 + 40.6470i 0.0846588 + 1.63506i
\(619\) 14.6021 12.2526i 0.586907 0.492473i −0.300300 0.953845i \(-0.597087\pi\)
0.887207 + 0.461372i \(0.152643\pi\)
\(620\) 44.2569 1.77740
\(621\) −21.4516 0.414924i −0.860823 0.0166503i
\(622\) 29.6295 1.18804
\(623\) 7.75200 6.50470i 0.310578 0.260605i
\(624\) 13.1221 + 6.69645i 0.525305 + 0.268072i
\(625\) −4.59740 + 26.0731i −0.183896 + 1.04293i
\(626\) 70.0987 25.5139i 2.80171 1.01974i
\(627\) 7.46459 + 8.01490i 0.298107 + 0.320084i
\(628\) −0.503964 2.85812i −0.0201104 0.114051i
\(629\) −19.2334 33.3132i −0.766886 1.32829i
\(630\) 11.8802 12.2714i 0.473319 0.488904i
\(631\) 20.9950 36.3645i 0.835799 1.44765i −0.0575785 0.998341i \(-0.518338\pi\)
0.893378 0.449306i \(-0.148329\pi\)
\(632\) −20.8721 7.59683i −0.830249 0.302186i
\(633\) 6.78779 8.99592i 0.269790 0.357556i
\(634\) −1.59274 1.33646i −0.0632556 0.0530778i
\(635\) 31.3784 + 26.3296i 1.24521 + 1.04486i
\(636\) 28.2681 + 66.7122i 1.12090 + 2.64531i
\(637\) −1.73677 0.632131i −0.0688132 0.0250459i
\(638\) −51.5778 + 89.3354i −2.04198 + 3.53682i
\(639\) −15.9107 21.9573i −0.629419 0.868617i
\(640\) −21.4802 37.2048i −0.849080 1.47065i
\(641\) 6.91815 + 39.2348i 0.273250 + 1.54968i 0.744465 + 0.667662i \(0.232705\pi\)
−0.471215 + 0.882019i \(0.656184\pi\)
\(642\) −4.34775 + 14.1889i −0.171592 + 0.559992i
\(643\) 12.0097 4.37117i 0.473616 0.172382i −0.0941737 0.995556i \(-0.530021\pi\)
0.567790 + 0.823174i \(0.307799\pi\)
\(644\) −2.93884 + 16.6670i −0.115807 + 0.656772i
\(645\) 21.1363 13.7072i 0.832242 0.539720i
\(646\) −14.5171 + 12.1813i −0.571169 + 0.479268i
\(647\) 20.4715 0.804816 0.402408 0.915460i \(-0.368173\pi\)
0.402408 + 0.915460i \(0.368173\pi\)
\(648\) −14.5259 + 44.3265i −0.570632 + 1.74131i
\(649\) 37.7514 1.48187
\(650\) 1.10105 0.923888i 0.0431866 0.0362379i
\(651\) 6.80637 4.41403i 0.266763 0.172999i
\(652\) −10.7395 + 60.9065i −0.420590 + 2.38528i
\(653\) 34.6720 12.6196i 1.35682 0.493843i 0.441752 0.897137i \(-0.354357\pi\)
0.915070 + 0.403295i \(0.132135\pi\)
\(654\) −6.56034 + 21.4097i −0.256530 + 0.837187i
\(655\) −0.490095 2.77947i −0.0191496 0.108603i
\(656\) 20.6882 + 35.8330i 0.807738 + 1.39904i
\(657\) −33.1063 + 3.43752i −1.29160 + 0.134110i
\(658\) 12.0254 20.8286i 0.468799 0.811983i
\(659\) 30.1670 + 10.9799i 1.17514 + 0.427715i 0.854482 0.519481i \(-0.173875\pi\)
0.320656 + 0.947196i \(0.396097\pi\)
\(660\) −27.1899 64.1675i −1.05837 2.49772i
\(661\) −22.3881 18.7859i −0.870798 0.730686i 0.0934683 0.995622i \(-0.470205\pi\)
−0.964266 + 0.264936i \(0.914649\pi\)
\(662\) 8.40248 + 7.05052i 0.326572 + 0.274026i
\(663\) 9.96351 13.2047i 0.386951 0.512829i
\(664\) −29.6527 10.7927i −1.15075 0.418838i
\(665\) −1.71181 + 2.96494i −0.0663810 + 0.114975i
\(666\) 53.4962 + 13.4096i 2.07294 + 0.519611i
\(667\) 20.2528 + 35.0789i 0.784191 + 1.35826i
\(668\) −5.47004 31.0221i −0.211642 1.20028i
\(669\) 28.9879 + 31.1249i 1.12074 + 1.20336i
\(670\) 2.54719 0.927103i 0.0984067 0.0358171i
\(671\) 3.59773 20.4037i 0.138889 0.787678i
\(672\) 1.54142 + 0.786614i 0.0594616 + 0.0303443i
\(673\) −28.0872 + 23.5680i −1.08268 + 0.908479i −0.996141 0.0877689i \(-0.972026\pi\)
−0.0865426 + 0.996248i \(0.527582\pi\)
\(674\) −2.18653 −0.0842221
\(675\) 1.23289 + 1.07583i 0.0474541 + 0.0414086i
\(676\) −39.2822 −1.51086
\(677\) −3.50587 + 2.94177i −0.134741 + 0.113061i −0.707668 0.706545i \(-0.750253\pi\)
0.572926 + 0.819607i \(0.305808\pi\)
\(678\) −3.55503 68.6602i −0.136530 2.63688i
\(679\) −0.617440 + 3.50168i −0.0236952 + 0.134382i
\(680\) 58.0197 21.1174i 2.22495 0.809817i
\(681\) −35.5036 + 8.17315i −1.36050 + 0.313196i
\(682\) −8.55251 48.5037i −0.327493 1.85730i
\(683\) −8.88306 15.3859i −0.339901 0.588726i 0.644513 0.764594i \(-0.277060\pi\)
−0.984414 + 0.175868i \(0.943727\pi\)
\(684\) 1.29668 18.2141i 0.0495797 0.696433i
\(685\) 16.9224 29.3105i 0.646573 1.11990i
\(686\) −2.32062 0.844638i −0.0886018 0.0322484i
\(687\) −29.8875 3.68880i −1.14028 0.140736i
\(688\) 22.2409 + 18.6623i 0.847926 + 0.711495i
\(689\) 14.4499 + 12.1249i 0.550498 + 0.461922i
\(690\) −40.4114 4.98769i −1.53843 0.189878i
\(691\) −22.0512 8.02596i −0.838865 0.305322i −0.113373 0.993552i \(-0.536166\pi\)
−0.725492 + 0.688230i \(0.758388\pi\)
\(692\) −25.3157 + 43.8480i −0.962358 + 1.66685i
\(693\) −10.5814 7.15665i −0.401956 0.271859i
\(694\) 1.93590 + 3.35308i 0.0734858 + 0.127281i
\(695\) 5.33703 + 30.2678i 0.202445 + 1.14812i
\(696\) 85.8172 19.7556i 3.25289 0.748835i
\(697\) 43.6579 15.8902i 1.65366 0.601884i
\(698\) −5.56469 + 31.5589i −0.210627 + 1.19452i
\(699\) −0.174405 3.36837i −0.00659659 0.127403i
\(700\) 0.988731 0.829644i 0.0373705 0.0313576i
\(701\) 31.1815 1.17771 0.588855 0.808239i \(-0.299579\pi\)
0.588855 + 0.808239i \(0.299579\pi\)
\(702\) 3.66593 + 23.4318i 0.138361 + 0.884375i
\(703\) −11.0548 −0.416941
\(704\) −21.9742 + 18.4385i −0.828183 + 0.694928i
\(705\) 34.6386 + 17.6767i 1.30457 + 0.665743i
\(706\) −6.15023 + 34.8797i −0.231467 + 1.31271i
\(707\) −2.97950 + 1.08445i −0.112056 + 0.0407849i
\(708\) −42.8956 46.0580i −1.61212 1.73096i
\(709\) −6.38759 36.2258i −0.239891 1.36049i −0.832065 0.554679i \(-0.812841\pi\)
0.592174 0.805810i \(-0.298270\pi\)
\(710\) −25.7300 44.5657i −0.965630 1.67252i
\(711\) −3.52825 12.3631i −0.132320 0.463654i
\(712\) −26.2241 + 45.4215i −0.982791 + 1.70224i
\(713\) −18.1732 6.61450i −0.680591 0.247715i
\(714\) 13.3130 17.6438i 0.498226 0.660304i
\(715\) −13.8987 11.6624i −0.519783 0.436150i
\(716\) −3.26530 2.73991i −0.122030 0.102395i
\(717\) −4.73195 11.1673i −0.176718 0.417051i
\(718\) 31.3148 + 11.3977i 1.16866 + 0.425357i
\(719\) 1.96034 3.39541i 0.0731084 0.126627i −0.827154 0.561976i \(-0.810041\pi\)
0.900262 + 0.435348i \(0.143375\pi\)
\(720\) −12.9823 + 29.0604i −0.483823 + 1.08302i
\(721\) 4.75773 + 8.24063i 0.177187 + 0.306897i
\(722\) −7.20212 40.8453i −0.268035 1.52010i
\(723\) −0.348544 + 1.13748i −0.0129625 + 0.0423032i
\(724\) 34.7361 12.6429i 1.29096 0.469870i
\(725\) 0.536418 3.04218i 0.0199221 0.112984i
\(726\) −25.5938 + 16.5980i −0.949876 + 0.616008i
\(727\) 27.0901 22.7313i 1.00472 0.843059i 0.0170869 0.999854i \(-0.494561\pi\)
0.987631 + 0.156795i \(0.0501164\pi\)
\(728\) 9.57914 0.355027
\(729\) −25.7098 + 8.24651i −0.952216 + 0.305426i
\(730\) −63.1661 −2.33788
\(731\) 24.9734 20.9552i 0.923674 0.775054i
\(732\) −28.9812 + 18.7947i −1.07118 + 0.694673i
\(733\) −1.46966 + 8.33484i −0.0542830 + 0.307854i −0.999845 0.0175867i \(-0.994402\pi\)
0.945562 + 0.325441i \(0.105513\pi\)
\(734\) 20.4330 7.43701i 0.754196 0.274505i
\(735\) 1.16987 3.81787i 0.0431511 0.140824i
\(736\) −0.716388 4.06284i −0.0264064 0.149758i
\(737\) −1.01367 1.75573i −0.0373391 0.0646732i
\(738\) −27.1697 + 60.8181i −1.00013 + 2.23875i
\(739\) −23.4339 + 40.5887i −0.862030 + 1.49308i 0.00793649 + 0.999969i \(0.497474\pi\)
−0.869966 + 0.493111i \(0.835860\pi\)
\(740\) 66.0991 + 24.0581i 2.42985 + 0.884394i
\(741\) −1.85476 4.37719i −0.0681363 0.160800i
\(742\) 19.3076 + 16.2010i 0.708805 + 0.594758i
\(743\) 5.94333 + 4.98705i 0.218040 + 0.182957i 0.745265 0.666769i \(-0.232323\pi\)
−0.527225 + 0.849726i \(0.676768\pi\)
\(744\) −25.3246 + 33.5630i −0.928446 + 1.23048i
\(745\) −1.91974 0.698729i −0.0703339 0.0255995i
\(746\) 41.1531 71.2793i 1.50672 2.60972i
\(747\) −5.01253 17.5641i −0.183399 0.642637i
\(748\) −45.0927 78.1028i −1.64875 2.85572i
\(749\) 0.602459 + 3.41671i 0.0220134 + 0.124844i
\(750\) −31.4873 33.8086i −1.14976 1.23452i
\(751\) −36.7987 + 13.3936i −1.34280 + 0.488740i −0.910694 0.413081i \(-0.864453\pi\)
−0.432109 + 0.901821i \(0.642230\pi\)
\(752\) −7.78264 + 44.1375i −0.283804 + 1.60953i
\(753\) 9.12179 + 4.65501i 0.332416 + 0.169638i
\(754\) 34.2992 28.7805i 1.24910 1.04812i
\(755\) −6.53384 −0.237791
\(756\) 3.29197 + 21.0416i 0.119728 + 0.765274i
\(757\) −25.8155 −0.938280 −0.469140 0.883124i \(-0.655436\pi\)
−0.469140 + 0.883124i \(0.655436\pi\)
\(758\) 17.8049 14.9401i 0.646702 0.542647i
\(759\) 1.57469 + 30.4128i 0.0571576 + 1.10391i
\(760\) 3.08124 17.4746i 0.111768 0.633870i
\(761\) 0.464634 0.169113i 0.0168430 0.00613034i −0.333585 0.942720i \(-0.608258\pi\)
0.350428 + 0.936590i \(0.386036\pi\)
\(762\) −74.0619 + 17.0495i −2.68298 + 0.617638i
\(763\) 0.909053 + 5.15550i 0.0329099 + 0.186642i
\(764\) −8.96570 15.5291i −0.324368 0.561821i
\(765\) 29.6036 + 20.0221i 1.07032 + 0.723901i
\(766\) −12.7079 + 22.0107i −0.459154 + 0.795278i
\(767\) −15.3977 5.60431i −0.555980 0.202360i
\(768\) 55.9470 + 6.90515i 2.01881 + 0.249168i
\(769\) 29.4108 + 24.6786i 1.06058 + 0.889933i 0.994166 0.107859i \(-0.0343995\pi\)
0.0664148 + 0.997792i \(0.478844\pi\)
\(770\) −18.5711 15.5830i −0.669258 0.561574i
\(771\) −10.4970 1.29557i −0.378040 0.0466588i
\(772\) 52.8128 + 19.2223i 1.90077 + 0.691825i
\(773\) −26.4568 + 45.8246i −0.951586 + 1.64819i −0.209591 + 0.977789i \(0.567213\pi\)
−0.741995 + 0.670406i \(0.766120\pi\)
\(774\) −3.31909 + 46.6224i −0.119302 + 1.67581i
\(775\) 0.737452 + 1.27730i 0.0264901 + 0.0458821i
\(776\) −3.20012 18.1488i −0.114878 0.651503i
\(777\) 12.5650 2.89254i 0.450767 0.103769i
\(778\) 2.27285 0.827251i 0.0814857 0.0296584i
\(779\) 2.31854 13.1491i 0.0830702 0.471114i
\(780\) 1.56411 + 30.2085i 0.0560042 + 1.08164i
\(781\) −29.4832 + 24.7394i −1.05499 + 0.885245i
\(782\) −52.6925 −1.88428
\(783\) 38.4064 + 33.5136i 1.37253 + 1.19768i
\(784\) 4.60199 0.164357
\(785\) 1.25050 1.04929i 0.0446323 0.0374509i
\(786\) 4.66427 + 2.38026i 0.166369 + 0.0849011i
\(787\) 3.45256 19.5805i 0.123071 0.697968i −0.859364 0.511364i \(-0.829141\pi\)
0.982435 0.186605i \(-0.0597483\pi\)
\(788\) 61.8262 22.5029i 2.20247 0.801633i
\(789\) −0.952499 1.02272i −0.0339098 0.0364097i
\(790\) −4.23689 24.0286i −0.150742 0.854898i
\(791\) −8.03669 13.9200i −0.285752 0.494936i
\(792\) 64.2211 + 16.0979i 2.28200 + 0.572016i
\(793\) −4.49641 + 7.78801i −0.159672 + 0.276560i
\(794\) 38.4761 + 14.0042i 1.36547 + 0.496989i
\(795\) −24.5465 + 32.5317i −0.870574 + 1.15378i
\(796\) −5.43982 4.56455i −0.192809 0.161786i
\(797\) −18.3195 15.3719i −0.648910 0.544500i 0.257830 0.966190i \(-0.416992\pi\)
−0.906740 + 0.421690i \(0.861437\pi\)
\(798\) −2.47828 5.84869i −0.0877302 0.207041i
\(799\) 47.2898 + 17.2121i 1.67299 + 0.608919i
\(800\) −0.157314 + 0.272475i −0.00556187 + 0.00963345i
\(801\) −30.1962 + 3.13536i −1.06693 + 0.110782i
\(802\) 27.8856 + 48.2993i 0.984676 + 1.70551i
\(803\) 8.20363 + 46.5251i 0.289500 + 1.64184i
\(804\) −0.990250 + 3.23169i −0.0349234 + 0.113973i
\(805\) −8.94525 + 3.25581i −0.315279 + 0.114752i
\(806\) −3.71220 + 21.0529i −0.130757 + 0.741557i
\(807\) 30.6874 19.9012i 1.08025 0.700556i
\(808\) 12.5888 10.5632i 0.442871 0.371613i
\(809\) −10.8494 −0.381446 −0.190723 0.981644i \(-0.561083\pi\)
−0.190723 + 0.981644i \(0.561083\pi\)
\(810\) −50.1469 + 10.5273i −1.76198 + 0.369891i
\(811\) 34.8198 1.22269 0.611344 0.791365i \(-0.290629\pi\)
0.611344 + 0.791365i \(0.290629\pi\)
\(812\) 30.8004 25.8446i 1.08088 0.906969i
\(813\) 29.0242 18.8226i 1.01792 0.660138i
\(814\) 13.5932 77.0910i 0.476442 2.70204i
\(815\) −32.6888 + 11.8977i −1.14504 + 0.416760i
\(816\) −12.0672 + 39.3813i −0.422435 + 1.37862i
\(817\) −1.62690 9.22659i −0.0569179 0.322797i
\(818\) −15.6048 27.0284i −0.545610 0.945025i
\(819\) 3.25344 + 4.48984i 0.113684 + 0.156888i
\(820\) −42.4787 + 73.5753i −1.48342 + 2.56936i
\(821\) −48.5338 17.6649i −1.69384 0.616508i −0.698742 0.715374i \(-0.746256\pi\)
−0.995101 + 0.0988658i \(0.968479\pi\)
\(822\) 24.4996 + 57.8185i 0.854521 + 2.01665i
\(823\) −25.4953 21.3931i −0.888710 0.745716i 0.0792407 0.996856i \(-0.474750\pi\)
−0.967951 + 0.251139i \(0.919195\pi\)
\(824\) −37.7794 31.7007i −1.31611 1.10434i
\(825\) 1.39888 1.85395i 0.0487028 0.0645464i
\(826\) −20.5741 7.48834i −0.715863 0.260553i
\(827\) 15.1251 26.1975i 0.525953 0.910977i −0.473590 0.880745i \(-0.657042\pi\)
0.999543 0.0302318i \(-0.00962455\pi\)
\(828\) 35.3153 36.4782i 1.22729 1.26770i
\(829\) 2.45328 + 4.24921i 0.0852060 + 0.147581i 0.905479 0.424391i \(-0.139512\pi\)
−0.820273 + 0.571972i \(0.806178\pi\)
\(830\) −6.01927 34.1370i −0.208932 1.18491i
\(831\) −8.76196 9.40790i −0.303949 0.326357i
\(832\) 11.6999 4.25841i 0.405621 0.147634i
\(833\) 0.897307 5.08888i 0.0310898 0.176319i
\(834\) −50.7929 25.9205i −1.75881 0.897555i
\(835\) 13.5730 11.3891i 0.469712 0.394135i
\(836\) −25.9180 −0.896394
\(837\) −24.3325 0.470648i −0.841055 0.0162680i
\(838\) −17.5488 −0.606212
\(839\) 4.33870 3.64060i 0.149788 0.125687i −0.564814 0.825218i \(-0.691052\pi\)
0.714602 + 0.699531i \(0.246608\pi\)
\(840\) 1.07013 + 20.6680i 0.0369230 + 0.713113i
\(841\) 11.6744 66.2089i 0.402566 2.28306i
\(842\) 6.67651 2.43005i 0.230088 0.0837451i
\(843\) 55.9712 12.8849i 1.92775 0.443779i
\(844\) 4.63084 + 26.2628i 0.159400 + 0.904003i
\(845\) −11.0476 19.1350i −0.380048 0.658263i
\(846\) −64.8899 + 31.5479i −2.23096 + 1.08464i
\(847\) −3.56580 + 6.17615i −0.122522 + 0.212215i
\(848\) −44.1354 16.0640i −1.51562 0.551639i
\(849\) −7.20816 0.889652i −0.247383 0.0305328i
\(850\) 3.07837 + 2.58306i 0.105587 + 0.0885982i
\(851\) −23.5466 19.7580i −0.807167 0.677294i
\(852\) 63.6837 + 7.86003i 2.18177 + 0.269280i
\(853\) −11.3983 4.14866i −0.390272 0.142047i 0.139429 0.990232i \(-0.455473\pi\)
−0.529700 + 0.848185i \(0.677696\pi\)
\(854\) −6.00799 + 10.4061i −0.205589 + 0.356091i
\(855\) 9.23703 4.49083i 0.315900 0.153583i
\(856\) −8.99079 15.5725i −0.307299 0.532257i
\(857\) −2.43075 13.7855i −0.0830330 0.470903i −0.997764 0.0668395i \(-0.978708\pi\)
0.914731 0.404064i \(-0.132403\pi\)
\(858\) 32.8050 7.55190i 1.11994 0.257818i
\(859\) 32.4970 11.8279i 1.10878 0.403564i 0.278235 0.960513i \(-0.410250\pi\)
0.830547 + 0.556949i \(0.188028\pi\)
\(860\) −10.3518 + 58.7082i −0.352995 + 2.00193i
\(861\) 0.805238 + 15.5520i 0.0274424 + 0.530010i
\(862\) −3.95274 + 3.31674i −0.134631 + 0.112969i
\(863\) −44.4881 −1.51439 −0.757197 0.653187i \(-0.773432\pi\)
−0.757197 + 0.653187i \(0.773432\pi\)
\(864\) −2.50836 4.54541i −0.0853363 0.154638i
\(865\) −28.4787 −0.968305
\(866\) −40.1005 + 33.6483i −1.36267 + 1.14342i
\(867\) 14.9678 + 7.63833i 0.508333 + 0.259411i
\(868\) −3.33352 + 18.9054i −0.113147 + 0.641690i
\(869\) −17.1480 + 6.24137i −0.581707 + 0.211724i
\(870\) 65.9285 + 70.7889i 2.23519 + 2.39997i
\(871\) 0.152804 + 0.866596i 0.00517757 + 0.0293635i
\(872\) −13.5663 23.4974i −0.459411 0.795724i
\(873\) 7.41963 7.66394i 0.251116 0.259385i
\(874\) −7.57156 + 13.1143i −0.256112 + 0.443599i
\(875\) −10.1497 3.69418i −0.343122 0.124886i
\(876\) 47.4407 62.8736i 1.60287 2.12430i
\(877\) 28.4199 + 23.8471i 0.959671 + 0.805259i 0.980899 0.194515i \(-0.0623134\pi\)
−0.0212287 + 0.999775i \(0.506758\pi\)
\(878\) −62.7170 52.6258i −2.11660 1.77604i
\(879\) −0.196951 0.464799i −0.00664298 0.0156773i
\(880\) 42.4519 + 15.4512i 1.43105 + 0.520861i
\(881\) 6.15675 10.6638i 0.207426 0.359273i −0.743477 0.668762i \(-0.766825\pi\)
0.950903 + 0.309489i \(0.100158\pi\)
\(882\) 4.34716 + 5.99921i 0.146377 + 0.202004i
\(883\) −14.8114 25.6540i −0.498442 0.863327i 0.501557 0.865125i \(-0.332761\pi\)
−0.999998 + 0.00179824i \(0.999428\pi\)
\(884\) 6.79741 + 38.5500i 0.228622 + 1.29658i
\(885\) 10.3717 33.8482i 0.348642 1.13780i
\(886\) 46.7736 17.0242i 1.57139 0.571939i
\(887\) 1.63111 9.25051i 0.0547675 0.310602i −0.945102 0.326776i \(-0.894038\pi\)
0.999869 + 0.0161745i \(0.00514874\pi\)
\(888\) −56.0681 + 36.3609i −1.88152 + 1.22019i
\(889\) −13.6108 + 11.4208i −0.456490 + 0.383041i
\(890\) −57.6138 −1.93122
\(891\) 14.2667 + 35.5686i 0.477951 + 1.19159i
\(892\) −100.650 −3.37000
\(893\) 11.0790 9.29641i 0.370746 0.311093i
\(894\) 3.18022 2.06242i 0.106363 0.0689776i
\(895\) 0.416332 2.36114i 0.0139164 0.0789241i
\(896\) 17.5108 6.37342i 0.584996 0.212921i
\(897\) 3.87260 12.6383i 0.129302 0.421980i
\(898\) 8.45819 + 47.9688i 0.282254 + 1.60074i
\(899\) 22.9727 + 39.7899i 0.766183 + 1.32707i
\(900\) −3.85139 + 0.399900i −0.128380 + 0.0133300i
\(901\) −26.3692 + 45.6727i −0.878484 + 1.52158i
\(902\) 88.8442 + 32.3367i 2.95819 + 1.07669i
\(903\) 4.26331 + 10.0613i 0.141874 + 0.334820i
\(904\) 63.8164 + 53.5483i 2.12250 + 1.78099i
\(905\) 15.9276 + 13.3648i 0.529451 + 0.444262i
\(906\) 7.30173 9.67705i 0.242584 0.321499i
\(907\) −7.22317 2.62902i −0.239842 0.0872952i 0.219303 0.975657i \(-0.429622\pi\)
−0.459144 + 0.888362i \(0.651844\pi\)
\(908\) 43.1065 74.6626i 1.43054 2.47777i
\(909\) 9.22671 + 2.31281i 0.306031 + 0.0767110i
\(910\) 5.26129 + 9.11282i 0.174410 + 0.302087i
\(911\) −5.76536 32.6970i −0.191015 1.08330i −0.917981 0.396625i \(-0.870181\pi\)
0.726966 0.686674i \(-0.240930\pi\)
\(912\) 8.06741 + 8.66215i 0.267139 + 0.286832i
\(913\) −24.3619 + 8.86700i −0.806261 + 0.293455i
\(914\) −2.96131 + 16.7944i −0.0979515 + 0.555511i
\(915\) −17.3057 8.83143i −0.572110 0.291958i
\(916\) 54.5899 45.8063i 1.80370 1.51348i
\(917\) 1.22423 0.0404276
\(918\) −62.7369 + 21.4697i −2.07063 + 0.708607i
\(919\) −12.4758 −0.411539 −0.205769 0.978601i \(-0.565970\pi\)
−0.205769 + 0.978601i \(0.565970\pi\)
\(920\) 37.7948 31.7136i 1.24606 1.04557i
\(921\) 1.67322 + 32.3157i 0.0551344 + 1.06484i
\(922\) 5.78876 32.8297i 0.190643 1.08119i
\(923\) 15.6980 5.71361i 0.516706 0.188066i
\(924\) 29.4586 6.78155i 0.969118 0.223097i
\(925\) 0.407064 + 2.30858i 0.0133842 + 0.0759055i
\(926\) −35.7676 61.9513i −1.17540 2.03585i
\(927\) 2.02711 28.4743i 0.0665791 0.935219i
\(928\) −4.90055 + 8.48800i −0.160868 + 0.278632i
\(929\) −34.4759 12.5482i −1.13112 0.411693i −0.292419 0.956290i \(-0.594460\pi\)
−0.838698 + 0.544597i \(0.816682\pi\)
\(930\) −45.8385 5.65753i −1.50310 0.185518i
\(931\) −1.13760 0.954563i −0.0372835 0.0312845i
\(932\) 6.11422 + 5.13044i 0.200278 + 0.168053i
\(933\) −20.6245 2.54554i −0.675216 0.0833372i
\(934\) −76.4256 27.8167i −2.50072 0.910189i
\(935\) 25.3634 43.9306i 0.829470 1.43668i
\(936\) −23.8042 16.0997i −0.778064 0.526236i
\(937\) 1.60111 + 2.77321i 0.0523061 + 0.0905969i 0.890993 0.454017i \(-0.150010\pi\)
−0.838687 + 0.544614i \(0.816676\pi\)
\(938\) 0.204173 + 1.15792i 0.00666649 + 0.0378076i
\(939\) −50.9862 + 11.7373i −1.66387 + 0.383033i
\(940\) −86.4751 + 31.4744i −2.82051 + 1.02658i
\(941\) 8.32334 47.2040i 0.271333 1.53881i −0.479040 0.877793i \(-0.659015\pi\)
0.750373 0.661014i \(-0.229874\pi\)
\(942\) 0.156610 + 3.02469i 0.00510262 + 0.0985497i
\(943\) 28.4393 23.8634i 0.926112 0.777100i
\(944\) 40.8001 1.32793
\(945\) −9.32383 + 7.52121i −0.303304 + 0.244665i
\(946\) 66.3421 2.15697
\(947\) −29.3812 + 24.6538i −0.954761 + 0.801139i −0.980093 0.198540i \(-0.936380\pi\)
0.0253322 + 0.999679i \(0.491936\pi\)
\(948\) 27.0994 + 13.8293i 0.880147 + 0.449154i
\(949\) 3.56077 20.1941i 0.115587 0.655529i
\(950\) 1.08522 0.394989i 0.0352093 0.0128151i
\(951\) 0.993852 + 1.06712i 0.0322279 + 0.0346037i
\(952\) 4.65063 + 26.3750i 0.150728 + 0.854820i
\(953\) 10.7999 + 18.7059i 0.349842 + 0.605944i 0.986221 0.165432i \(-0.0529020\pi\)
−0.636379 + 0.771376i \(0.719569\pi\)
\(954\) −20.7503 72.7099i −0.671816 2.35407i
\(955\) 5.04295 8.73465i 0.163186 0.282647i
\(956\) 26.9699 + 9.81623i 0.872268 + 0.317479i
\(957\) 43.5772 57.7533i 1.40865 1.86690i
\(958\) −42.8600 35.9638i −1.38474 1.16194i
\(959\) 11.2460 + 9.43653i 0.363153 + 0.304722i
\(960\) 10.4950 + 24.7680i 0.338725 + 0.799383i
\(961\) 8.51664 + 3.09981i 0.274730 + 0.0999937i
\(962\) −16.9887 + 29.4253i −0.547737 + 0.948709i
\(963\) 4.24538 9.50309i 0.136805 0.306233i
\(964\) −1.40762 2.43807i −0.0453365 0.0785251i
\(965\) 5.48939 + 31.1319i 0.176710 + 1.00217i
\(966\) 5.17447 16.8870i 0.166486 0.543329i
\(967\) −21.0939 + 7.67754i −0.678333 + 0.246893i −0.658132 0.752903i \(-0.728653\pi\)
−0.0202013 + 0.999796i \(0.506431\pi\)
\(968\) 6.41842 36.4007i 0.206296 1.16996i
\(969\) 11.1516 7.23197i 0.358241 0.232324i
\(970\) 15.5076 13.0124i 0.497920 0.417804i
\(971\) 8.75981 0.281116 0.140558 0.990072i \(-0.455110\pi\)
0.140558 + 0.990072i \(0.455110\pi\)
\(972\) 27.1841 57.8211i 0.871930 1.85461i
\(973\) −13.3316 −0.427391
\(974\) −32.2159 + 27.0323i −1.03226 + 0.866172i
\(975\) −0.845789 + 0.548506i −0.0270869 + 0.0175663i
\(976\) 3.88827 22.0515i 0.124460 0.705851i
\(977\) 49.6848 18.0838i 1.58956 0.578551i 0.612303 0.790623i \(-0.290243\pi\)
0.977254 + 0.212072i \(0.0680212\pi\)
\(978\) 18.9092 61.7103i 0.604649 1.97328i
\(979\) 7.48253 + 42.4355i 0.239143 + 1.35625i
\(980\) 4.72460 + 8.18324i 0.150922 + 0.261404i
\(981\) 6.40587 14.3393i 0.204524 0.457817i
\(982\) 28.7096 49.7265i 0.916160 1.58684i
\(983\) −55.0815 20.0480i −1.75683 0.639432i −0.756925 0.653502i \(-0.773299\pi\)
−0.999901 + 0.0140696i \(0.995521\pi\)
\(984\) −31.4900 74.3156i −1.00386 2.36909i
\(985\) 28.3493 + 23.7878i 0.903282 + 0.757944i
\(986\) 95.8958 + 80.4661i 3.05394 + 2.56256i
\(987\) −10.1601 + 13.4652i −0.323398 + 0.428603i
\(988\) 10.5712 + 3.84761i 0.336316 + 0.122409i
\(989\) 13.0251 22.5602i 0.414175 0.717371i
\(990\) 19.9588 + 69.9365i 0.634333 + 2.22273i
\(991\) −4.71643 8.16910i −0.149822 0.259500i 0.781339 0.624106i \(-0.214537\pi\)
−0.931162 + 0.364606i \(0.881204\pi\)
\(992\) −0.812597 4.60847i −0.0258000 0.146319i
\(993\) −5.24307 5.62960i −0.166384 0.178650i
\(994\) 20.9753 7.63438i 0.665296 0.242148i
\(995\) 0.693588 3.93353i 0.0219882 0.124701i
\(996\) 38.4996 + 19.6470i 1.21991 + 0.622540i
\(997\) 28.3470 23.7859i 0.897757 0.753308i −0.0719936 0.997405i \(-0.522936\pi\)
0.969751 + 0.244097i \(0.0784917\pi\)
\(998\) 54.3750 1.72121
\(999\) −36.0856 13.9301i −1.14170 0.440730i
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 189.2.v.a.22.8 54
3.2 odd 2 567.2.v.b.442.2 54
27.4 even 9 5103.2.a.i.1.24 27
27.11 odd 18 567.2.v.b.127.2 54
27.16 even 9 inner 189.2.v.a.43.8 yes 54
27.23 odd 18 5103.2.a.f.1.4 27
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
189.2.v.a.22.8 54 1.1 even 1 trivial
189.2.v.a.43.8 yes 54 27.16 even 9 inner
567.2.v.b.127.2 54 27.11 odd 18
567.2.v.b.442.2 54 3.2 odd 2
5103.2.a.f.1.4 27 27.23 odd 18
5103.2.a.i.1.24 27 27.4 even 9