Properties

Label 930.2.bt.b.13.7
Level $930$
Weight $2$
Character 930.13
Analytic conductor $7.426$
Analytic rank $0$
Dimension $256$
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] = [930,2,Mod(13,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([0, 45, 22]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bt (of order \(60\), degree \(16\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(16\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 13.7
Character \(\chi\) \(=\) 930.13
Dual form 930.2.bt.b.787.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.156434 + 0.987688i) q^{2} +(-0.358368 + 0.933580i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(1.76804 + 1.36895i) q^{5} +(-0.866025 - 0.500000i) q^{6} +(3.85109 + 0.201827i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-0.743145 - 0.669131i) q^{9} +O(q^{10})\) \(q+(-0.156434 + 0.987688i) q^{2} +(-0.358368 + 0.933580i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(1.76804 + 1.36895i) q^{5} +(-0.866025 - 0.500000i) q^{6} +(3.85109 + 0.201827i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-0.743145 - 0.669131i) q^{9} +(-1.62868 + 1.53213i) q^{10} +(0.688835 + 3.24072i) q^{11} +(0.629320 - 0.777146i) q^{12} +(-0.782217 - 0.965958i) q^{13} +(-0.801786 + 3.77210i) q^{14} +(-1.91163 + 1.16002i) q^{15} +(0.809017 + 0.587785i) q^{16} +(-1.92283 - 2.96090i) q^{17} +(0.777146 - 0.629320i) q^{18} +(7.33485 - 0.770923i) q^{19} +(-1.25848 - 1.84830i) q^{20} +(-1.56853 + 3.52297i) q^{21} +(-3.30857 + 0.173395i) q^{22} +(4.96628 + 2.53045i) q^{23} +(0.669131 + 0.743145i) q^{24} +(1.25196 + 4.84072i) q^{25} +(1.07643 - 0.621478i) q^{26} +(0.891007 - 0.453990i) q^{27} +(-3.60024 - 1.38200i) q^{28} +(-0.475375 + 0.345380i) q^{29} +(-0.846698 - 2.06957i) q^{30} +(-2.16194 - 5.13089i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-3.27233 - 0.518285i) q^{33} +(3.22525 - 1.43597i) q^{34} +(6.53261 + 5.62878i) q^{35} +(0.500000 + 0.866025i) q^{36} +(4.86241 - 1.30288i) q^{37} +(-0.385991 + 7.36514i) q^{38} +(1.18212 - 0.384094i) q^{39} +(2.02242 - 0.953850i) q^{40} +(-3.78807 - 1.68656i) q^{41} +(-3.23423 - 2.10033i) q^{42} +(-2.11526 - 1.71290i) q^{43} +(0.346315 - 3.29497i) q^{44} +(-0.397908 - 2.20038i) q^{45} +(-3.27619 + 4.50929i) q^{46} +(-9.17023 + 1.45242i) q^{47} +(-0.838671 + 0.544639i) q^{48} +(7.82851 + 0.822809i) q^{49} +(-4.97697 + 0.479294i) q^{50} +(3.45332 - 0.734027i) q^{51} +(0.445435 + 1.16040i) q^{52} +(0.616486 + 11.7633i) q^{53} +(0.309017 + 0.951057i) q^{54} +(-3.21848 + 6.67271i) q^{55} +(1.92819 - 3.33972i) q^{56} +(-1.90886 + 7.12394i) q^{57} +(-0.266763 - 0.523551i) q^{58} +(-2.65496 - 5.96313i) q^{59} +(2.17654 - 0.512522i) q^{60} +0.186038i q^{61} +(5.40592 - 1.33268i) q^{62} +(-2.72687 - 2.72687i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(-0.0606490 - 2.77867i) q^{65} +(1.02381 - 3.15096i) q^{66} +(-8.94301 - 2.39627i) q^{67} +(0.913754 + 3.41018i) q^{68} +(-4.14213 + 3.72959i) q^{69} +(-6.58141 + 5.57165i) q^{70} +(-2.51006 + 2.78770i) q^{71} +(-0.933580 + 0.358368i) q^{72} +(-8.32183 + 12.8145i) q^{73} +(0.526190 + 5.00637i) q^{74} +(-4.96787 - 0.565951i) q^{75} +(-7.21408 - 1.53340i) q^{76} +(1.99870 + 12.6193i) q^{77} +(0.194441 + 1.22765i) q^{78} +(-7.52788 - 1.60010i) q^{79} +(0.625731 + 2.14673i) q^{80} +(0.104528 + 0.994522i) q^{81} +(2.25838 - 3.47760i) q^{82} +(-10.1962 + 3.91395i) q^{83} +(2.58042 - 2.86585i) q^{84} +(0.653668 - 7.86727i) q^{85} +(2.02271 - 1.82126i) q^{86} +(-0.152081 - 0.567574i) q^{87} +(3.20022 + 0.857497i) q^{88} +(2.54213 - 7.82387i) q^{89} +(2.23554 - 0.0487942i) q^{90} +(-2.81743 - 3.87786i) q^{91} +(-3.94126 - 3.94126i) q^{92} +(5.56487 - 0.179602i) q^{93} -9.28454i q^{94} +(14.0237 + 8.67800i) q^{95} +(-0.406737 - 0.913545i) q^{96} +(0.889298 + 1.74535i) q^{97} +(-2.03733 + 7.60341i) q^{98} +(1.65656 - 2.86924i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256 q + 16 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 256 q + 16 q^{7} + 4 q^{10} + 24 q^{14} + 8 q^{15} + 64 q^{16} - 36 q^{17} + 40 q^{19} - 12 q^{20} - 16 q^{21} + 44 q^{22} + 32 q^{24} - 28 q^{25} - 8 q^{28} + 16 q^{29} - 8 q^{31} - 4 q^{33} - 24 q^{35} + 128 q^{36} - 76 q^{37} + 28 q^{38} + 48 q^{41} - 4 q^{42} + 120 q^{43} - 4 q^{44} + 12 q^{45} - 20 q^{46} + 72 q^{47} + 40 q^{49} + 48 q^{50} - 16 q^{53} - 64 q^{54} + 36 q^{55} - 4 q^{57} - 68 q^{58} + 24 q^{59} - 20 q^{62} + 4 q^{63} + 156 q^{65} + 12 q^{66} + 44 q^{67} + 4 q^{68} - 12 q^{69} + 104 q^{70} - 48 q^{71} - 84 q^{73} - 68 q^{74} - 48 q^{75} + 48 q^{76} - 124 q^{77} + 56 q^{79} - 32 q^{81} + 16 q^{82} - 112 q^{83} + 132 q^{85} + 24 q^{86} + 32 q^{87} + 52 q^{88} + 224 q^{89} + 40 q^{91} + 64 q^{93} - 204 q^{95} + 8 q^{97} - 32 q^{98} - 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(1\) \(e\left(\frac{11}{30}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.156434 + 0.987688i −0.110616 + 0.698401i
\(3\) −0.358368 + 0.933580i −0.206904 + 0.539003i
\(4\) −0.951057 0.309017i −0.475528 0.154508i
\(5\) 1.76804 + 1.36895i 0.790694 + 0.612212i
\(6\) −0.866025 0.500000i −0.353553 0.204124i
\(7\) 3.85109 + 0.201827i 1.45558 + 0.0762835i 0.763624 0.645661i \(-0.223418\pi\)
0.691951 + 0.721944i \(0.256751\pi\)
\(8\) 0.453990 0.891007i 0.160510 0.315018i
\(9\) −0.743145 0.669131i −0.247715 0.223044i
\(10\) −1.62868 + 1.53213i −0.515033 + 0.484501i
\(11\) 0.688835 + 3.24072i 0.207692 + 0.977113i 0.951245 + 0.308436i \(0.0998056\pi\)
−0.743553 + 0.668677i \(0.766861\pi\)
\(12\) 0.629320 0.777146i 0.181669 0.224343i
\(13\) −0.782217 0.965958i −0.216948 0.267908i 0.657040 0.753855i \(-0.271808\pi\)
−0.873988 + 0.485947i \(0.838475\pi\)
\(14\) −0.801786 + 3.77210i −0.214286 + 1.00814i
\(15\) −1.91163 + 1.16002i −0.493582 + 0.299517i
\(16\) 0.809017 + 0.587785i 0.202254 + 0.146946i
\(17\) −1.92283 2.96090i −0.466356 0.718125i 0.524742 0.851261i \(-0.324162\pi\)
−0.991098 + 0.133136i \(0.957495\pi\)
\(18\) 0.777146 0.629320i 0.183175 0.148332i
\(19\) 7.33485 0.770923i 1.68273 0.176862i 0.785632 0.618694i \(-0.212338\pi\)
0.897098 + 0.441832i \(0.145671\pi\)
\(20\) −1.25848 1.84830i −0.281405 0.413293i
\(21\) −1.56853 + 3.52297i −0.342281 + 0.768776i
\(22\) −3.30857 + 0.173395i −0.705391 + 0.0369680i
\(23\) 4.96628 + 2.53045i 1.03554 + 0.527635i 0.887240 0.461308i \(-0.152620\pi\)
0.148301 + 0.988942i \(0.452620\pi\)
\(24\) 0.669131 + 0.743145i 0.136586 + 0.151694i
\(25\) 1.25196 + 4.84072i 0.250393 + 0.968144i
\(26\) 1.07643 0.621478i 0.211105 0.121882i
\(27\) 0.891007 0.453990i 0.171474 0.0873705i
\(28\) −3.60024 1.38200i −0.680381 0.261174i
\(29\) −0.475375 + 0.345380i −0.0882749 + 0.0641354i −0.631047 0.775744i \(-0.717375\pi\)
0.542772 + 0.839880i \(0.317375\pi\)
\(30\) −0.846698 2.06957i −0.154585 0.377849i
\(31\) −2.16194 5.13089i −0.388296 0.921535i
\(32\) −0.707107 + 0.707107i −0.125000 + 0.125000i
\(33\) −3.27233 0.518285i −0.569639 0.0902219i
\(34\) 3.22525 1.43597i 0.553126 0.246267i
\(35\) 6.53261 + 5.62878i 1.10421 + 0.951438i
\(36\) 0.500000 + 0.866025i 0.0833333 + 0.144338i
\(37\) 4.86241 1.30288i 0.799376 0.214192i 0.164066 0.986449i \(-0.447539\pi\)
0.635310 + 0.772257i \(0.280872\pi\)
\(38\) −0.385991 + 7.36514i −0.0626160 + 1.19478i
\(39\) 1.18212 0.384094i 0.189291 0.0615043i
\(40\) 2.02242 0.953850i 0.319772 0.150817i
\(41\) −3.78807 1.68656i −0.591598 0.263396i 0.0890262 0.996029i \(-0.471625\pi\)
−0.680624 + 0.732633i \(0.738291\pi\)
\(42\) −3.23423 2.10033i −0.499052 0.324088i
\(43\) −2.11526 1.71290i −0.322574 0.261215i 0.454332 0.890833i \(-0.349878\pi\)
−0.776905 + 0.629618i \(0.783211\pi\)
\(44\) 0.346315 3.29497i 0.0522089 0.496735i
\(45\) −0.397908 2.20038i −0.0593167 0.328013i
\(46\) −3.27619 + 4.50929i −0.483048 + 0.664858i
\(47\) −9.17023 + 1.45242i −1.33762 + 0.211858i −0.783920 0.620861i \(-0.786783\pi\)
−0.553696 + 0.832719i \(0.686783\pi\)
\(48\) −0.838671 + 0.544639i −0.121052 + 0.0786119i
\(49\) 7.82851 + 0.822809i 1.11836 + 0.117544i
\(50\) −4.97697 + 0.479294i −0.703851 + 0.0677824i
\(51\) 3.45332 0.734027i 0.483562 0.102784i
\(52\) 0.445435 + 1.16040i 0.0617708 + 0.160918i
\(53\) 0.616486 + 11.7633i 0.0846809 + 1.61581i 0.629327 + 0.777141i \(0.283331\pi\)
−0.544646 + 0.838666i \(0.683336\pi\)
\(54\) 0.309017 + 0.951057i 0.0420519 + 0.129422i
\(55\) −3.21848 + 6.67271i −0.433980 + 0.899748i
\(56\) 1.92819 3.33972i 0.257665 0.446289i
\(57\) −1.90886 + 7.12394i −0.252834 + 0.943589i
\(58\) −0.266763 0.523551i −0.0350277 0.0687457i
\(59\) −2.65496 5.96313i −0.345646 0.776334i −0.999801 0.0199728i \(-0.993642\pi\)
0.654154 0.756361i \(-0.273025\pi\)
\(60\) 2.17654 0.512522i 0.280990 0.0661663i
\(61\) 0.186038i 0.0238197i 0.999929 + 0.0119098i \(0.00379111\pi\)
−0.999929 + 0.0119098i \(0.996209\pi\)
\(62\) 5.40592 1.33268i 0.686553 0.169250i
\(63\) −2.72687 2.72687i −0.343553 0.343553i
\(64\) −0.587785 0.809017i −0.0734732 0.101127i
\(65\) −0.0606490 2.77867i −0.00752258 0.344652i
\(66\) 1.02381 3.15096i 0.126022 0.387856i
\(67\) −8.94301 2.39627i −1.09256 0.292751i −0.332830 0.942987i \(-0.608004\pi\)
−0.759733 + 0.650236i \(0.774670\pi\)
\(68\) 0.913754 + 3.41018i 0.110809 + 0.413545i
\(69\) −4.14213 + 3.72959i −0.498654 + 0.448990i
\(70\) −6.58141 + 5.57165i −0.786629 + 0.665939i
\(71\) −2.51006 + 2.78770i −0.297889 + 0.330839i −0.873445 0.486923i \(-0.838119\pi\)
0.575556 + 0.817762i \(0.304786\pi\)
\(72\) −0.933580 + 0.358368i −0.110024 + 0.0422341i
\(73\) −8.32183 + 12.8145i −0.973997 + 1.49982i −0.111498 + 0.993765i \(0.535565\pi\)
−0.862499 + 0.506059i \(0.831102\pi\)
\(74\) 0.526190 + 5.00637i 0.0611684 + 0.581978i
\(75\) −4.96787 0.565951i −0.573640 0.0653504i
\(76\) −7.21408 1.53340i −0.827512 0.175893i
\(77\) 1.99870 + 12.6193i 0.227773 + 1.43810i
\(78\) 0.194441 + 1.22765i 0.0220161 + 0.139004i
\(79\) −7.52788 1.60010i −0.846953 0.180025i −0.236060 0.971738i \(-0.575856\pi\)
−0.610893 + 0.791713i \(0.709190\pi\)
\(80\) 0.625731 + 2.14673i 0.0699588 + 0.240012i
\(81\) 0.104528 + 0.994522i 0.0116143 + 0.110502i
\(82\) 2.25838 3.47760i 0.249396 0.384037i
\(83\) −10.1962 + 3.91395i −1.11918 + 0.429612i −0.846444 0.532477i \(-0.821261\pi\)
−0.272734 + 0.962090i \(0.587928\pi\)
\(84\) 2.58042 2.86585i 0.281547 0.312689i
\(85\) 0.653668 7.86727i 0.0709003 0.853325i
\(86\) 2.02271 1.82126i 0.218115 0.196391i
\(87\) −0.152081 0.567574i −0.0163048 0.0608503i
\(88\) 3.20022 + 0.857497i 0.341145 + 0.0914095i
\(89\) 2.54213 7.82387i 0.269465 0.829329i −0.721166 0.692763i \(-0.756393\pi\)
0.990631 0.136566i \(-0.0436067\pi\)
\(90\) 2.23554 0.0487942i 0.235646 0.00514336i
\(91\) −2.81743 3.87786i −0.295347 0.406510i
\(92\) −3.94126 3.94126i −0.410905 0.410905i
\(93\) 5.56487 0.179602i 0.577050 0.0186238i
\(94\) 9.28454i 0.957627i
\(95\) 14.0237 + 8.67800i 1.43880 + 0.890344i
\(96\) −0.406737 0.913545i −0.0415124 0.0932383i
\(97\) 0.889298 + 1.74535i 0.0902946 + 0.177213i 0.931737 0.363134i \(-0.118293\pi\)
−0.841443 + 0.540347i \(0.818293\pi\)
\(98\) −2.03733 + 7.60341i −0.205801 + 0.768061i
\(99\) 1.65656 2.86924i 0.166490 0.288370i
\(100\) 0.305177 4.99068i 0.0305177 0.499068i
\(101\) 0.737220 + 2.26893i 0.0733561 + 0.225767i 0.981012 0.193949i \(-0.0621297\pi\)
−0.907655 + 0.419716i \(0.862130\pi\)
\(102\) 0.184771 + 3.52564i 0.0182950 + 0.349090i
\(103\) −6.86470 17.8831i −0.676399 1.76208i −0.646975 0.762511i \(-0.723966\pi\)
−0.0294236 0.999567i \(-0.509367\pi\)
\(104\) −1.21579 + 0.258425i −0.119218 + 0.0253406i
\(105\) −7.59600 + 4.08154i −0.741293 + 0.398318i
\(106\) −11.7149 1.23128i −1.13785 0.119593i
\(107\) 10.0481 6.52532i 0.971387 0.630826i 0.0416821 0.999131i \(-0.486728\pi\)
0.929705 + 0.368305i \(0.120062\pi\)
\(108\) −0.987688 + 0.156434i −0.0950404 + 0.0150529i
\(109\) 10.6903 14.7139i 1.02394 1.40934i 0.114541 0.993419i \(-0.463460\pi\)
0.909402 0.415918i \(-0.136540\pi\)
\(110\) −6.08708 4.22270i −0.580380 0.402618i
\(111\) −0.526190 + 5.00637i −0.0499438 + 0.475183i
\(112\) 2.99697 + 2.42690i 0.283187 + 0.229320i
\(113\) 13.4409 + 8.72865i 1.26442 + 0.821123i 0.990079 0.140511i \(-0.0448744\pi\)
0.274339 + 0.961633i \(0.411541\pi\)
\(114\) −6.73763 2.99978i −0.631036 0.280956i
\(115\) 5.31656 + 11.2725i 0.495772 + 1.05117i
\(116\) 0.558836 0.181577i 0.0518867 0.0168590i
\(117\) −0.0650512 + 1.24125i −0.00601399 + 0.114754i
\(118\) 6.30504 1.68943i 0.580426 0.155525i
\(119\) −6.80742 11.7908i −0.624035 1.08086i
\(120\) 0.165726 + 2.22992i 0.0151287 + 0.203563i
\(121\) 0.0212556 0.00946362i 0.00193233 0.000860329i
\(122\) −0.183747 0.0291027i −0.0166357 0.00263484i
\(123\) 2.93206 2.93206i 0.264375 0.264375i
\(124\) 0.470598 + 5.54784i 0.0422610 + 0.498211i
\(125\) −4.41317 + 10.2725i −0.394726 + 0.918799i
\(126\) 3.11987 2.26672i 0.277940 0.201936i
\(127\) 13.0838 + 5.02239i 1.16100 + 0.445665i 0.861165 0.508326i \(-0.169736\pi\)
0.299833 + 0.953992i \(0.403069\pi\)
\(128\) 0.891007 0.453990i 0.0787546 0.0401275i
\(129\) 2.35717 1.36091i 0.207537 0.119822i
\(130\) 2.75395 + 0.374778i 0.241537 + 0.0328702i
\(131\) 9.86577 + 10.9571i 0.861977 + 0.957322i 0.999449 0.0331836i \(-0.0105646\pi\)
−0.137473 + 0.990506i \(0.543898\pi\)
\(132\) 2.95201 + 1.50412i 0.256939 + 0.130917i
\(133\) 28.4028 1.48853i 2.46283 0.129071i
\(134\) 3.76577 8.45805i 0.325313 0.730664i
\(135\) 2.19683 + 0.417066i 0.189073 + 0.0358953i
\(136\) −3.51113 + 0.369035i −0.301077 + 0.0316445i
\(137\) −5.16034 + 4.17876i −0.440878 + 0.357016i −0.823911 0.566719i \(-0.808213\pi\)
0.383034 + 0.923734i \(0.374879\pi\)
\(138\) −3.03570 4.67457i −0.258416 0.397926i
\(139\) −11.3149 8.22074i −0.959716 0.697274i −0.00663094 0.999978i \(-0.502111\pi\)
−0.953085 + 0.302704i \(0.902111\pi\)
\(140\) −4.47349 7.37198i −0.378079 0.623046i
\(141\) 1.93036 9.08165i 0.162566 0.764813i
\(142\) −2.36072 2.91524i −0.198107 0.244642i
\(143\) 2.59158 3.20033i 0.216718 0.267625i
\(144\) −0.207912 0.978148i −0.0173260 0.0815123i
\(145\) −1.31329 0.0401161i −0.109063 0.00333146i
\(146\) −11.3549 10.2240i −0.939739 0.846145i
\(147\) −3.57365 + 7.01367i −0.294749 + 0.578478i
\(148\) −5.02704 0.263456i −0.413220 0.0216560i
\(149\) −6.24596 3.60611i −0.511689 0.295424i 0.221839 0.975083i \(-0.428794\pi\)
−0.733528 + 0.679660i \(0.762127\pi\)
\(150\) 1.33613 4.81817i 0.109094 0.393402i
\(151\) −21.7282 7.05993i −1.76822 0.574529i −0.770220 0.637778i \(-0.779854\pi\)
−0.997998 + 0.0632495i \(0.979854\pi\)
\(152\) 2.64305 6.88539i 0.214380 0.558479i
\(153\) −0.552288 + 3.48701i −0.0446498 + 0.281908i
\(154\) −12.7766 −1.02957
\(155\) 3.20151 12.0312i 0.257151 0.966371i
\(156\) −1.24296 −0.0995161
\(157\) 2.23079 14.0846i 0.178036 1.12408i −0.723165 0.690676i \(-0.757313\pi\)
0.901201 0.433402i \(-0.142687\pi\)
\(158\) 2.75802 7.18489i 0.219416 0.571599i
\(159\) −11.2029 3.64003i −0.888445 0.288673i
\(160\) −2.21819 + 0.282204i −0.175363 + 0.0223102i
\(161\) 18.6149 + 10.7473i 1.46706 + 0.847007i
\(162\) −0.998630 0.0523360i −0.0784597 0.00411190i
\(163\) −0.585620 + 1.14934i −0.0458693 + 0.0900235i −0.912803 0.408399i \(-0.866087\pi\)
0.866934 + 0.498423i \(0.166087\pi\)
\(164\) 3.08150 + 2.77459i 0.240624 + 0.216659i
\(165\) −5.07611 5.39599i −0.395175 0.420078i
\(166\) −2.27073 10.6829i −0.176243 0.829157i
\(167\) 1.98214 2.44774i 0.153383 0.189412i −0.694662 0.719336i \(-0.744446\pi\)
0.848045 + 0.529924i \(0.177780\pi\)
\(168\) 2.42690 + 2.99697i 0.187239 + 0.231221i
\(169\) 2.38164 11.2047i 0.183203 0.861903i
\(170\) 7.66816 + 1.87633i 0.588121 + 0.143908i
\(171\) −5.96670 4.33506i −0.456285 0.331511i
\(172\) 1.48241 + 2.28272i 0.113033 + 0.174055i
\(173\) 10.0870 8.16831i 0.766903 0.621025i −0.163930 0.986472i \(-0.552417\pi\)
0.930832 + 0.365447i \(0.119084\pi\)
\(174\) 0.584376 0.0614204i 0.0443015 0.00465627i
\(175\) 3.84443 + 18.8947i 0.290612 + 1.42831i
\(176\) −1.34757 + 3.02668i −0.101577 + 0.228145i
\(177\) 6.51852 0.341621i 0.489962 0.0256778i
\(178\) 7.32987 + 3.73476i 0.549397 + 0.279932i
\(179\) 6.59186 + 7.32101i 0.492699 + 0.547198i 0.937297 0.348533i \(-0.113320\pi\)
−0.444598 + 0.895730i \(0.646653\pi\)
\(180\) −0.301521 + 2.21565i −0.0224741 + 0.165144i
\(181\) −6.20187 + 3.58065i −0.460981 + 0.266148i −0.712457 0.701716i \(-0.752418\pi\)
0.251475 + 0.967864i \(0.419084\pi\)
\(182\) 4.27086 2.17611i 0.316577 0.161304i
\(183\) −0.173681 0.0666700i −0.0128389 0.00492839i
\(184\) 4.50929 3.27619i 0.332429 0.241524i
\(185\) 10.3805 + 4.35284i 0.763193 + 0.320027i
\(186\) −0.693147 + 5.52445i −0.0508240 + 0.405072i
\(187\) 8.27093 8.27093i 0.604831 0.604831i
\(188\) 9.17023 + 1.45242i 0.668808 + 0.105929i
\(189\) 3.52297 1.56853i 0.256259 0.114094i
\(190\) −10.7649 + 12.4935i −0.780971 + 0.906374i
\(191\) −1.90467 3.29898i −0.137817 0.238706i 0.788853 0.614582i \(-0.210675\pi\)
−0.926670 + 0.375876i \(0.877342\pi\)
\(192\) 0.965926 0.258819i 0.0697097 0.0186787i
\(193\) −1.10903 + 21.1615i −0.0798296 + 1.52324i 0.605992 + 0.795471i \(0.292776\pi\)
−0.685822 + 0.727769i \(0.740557\pi\)
\(194\) −1.86297 + 0.605317i −0.133754 + 0.0434592i
\(195\) 2.61585 + 0.939166i 0.187325 + 0.0672551i
\(196\) −7.19109 3.20168i −0.513649 0.228691i
\(197\) −14.2379 9.24623i −1.01441 0.658767i −0.0734569 0.997298i \(-0.523403\pi\)
−0.940955 + 0.338532i \(0.890070\pi\)
\(198\) 2.57477 + 2.08501i 0.182981 + 0.148175i
\(199\) −0.909255 + 8.65098i −0.0644554 + 0.613252i 0.913845 + 0.406062i \(0.133098\pi\)
−0.978301 + 0.207190i \(0.933568\pi\)
\(200\) 4.88149 + 1.08213i 0.345174 + 0.0765184i
\(201\) 5.44200 7.49027i 0.383849 0.528323i
\(202\) −2.35632 + 0.373205i −0.165790 + 0.0262586i
\(203\) −1.90042 + 1.23415i −0.133383 + 0.0866200i
\(204\) −3.51113 0.369035i −0.245829 0.0258376i
\(205\) −4.38867 8.16759i −0.306518 0.570449i
\(206\) 18.7368 3.98264i 1.30546 0.277484i
\(207\) −1.99747 5.20358i −0.138834 0.361674i
\(208\) −0.0650512 1.24125i −0.00451049 0.0860653i
\(209\) 7.55085 + 23.2391i 0.522303 + 1.60748i
\(210\) −2.84301 8.14097i −0.196187 0.561780i
\(211\) 6.10082 10.5669i 0.419998 0.727457i −0.575941 0.817491i \(-0.695364\pi\)
0.995939 + 0.0900340i \(0.0286976\pi\)
\(212\) 3.04873 11.3780i 0.209388 0.781446i
\(213\) −1.70302 3.34236i −0.116689 0.229015i
\(214\) 4.87311 + 10.9452i 0.333119 + 0.748197i
\(215\) −1.39500 5.92416i −0.0951379 0.404024i
\(216\) 1.00000i 0.0680414i
\(217\) −7.29028 20.1958i −0.494897 1.37098i
\(218\) 12.8604 + 12.8604i 0.871018 + 0.871018i
\(219\) −8.98109 12.3614i −0.606886 0.835306i
\(220\) 5.12294 5.35156i 0.345388 0.360802i
\(221\) −1.35603 + 4.17345i −0.0912168 + 0.280736i
\(222\) −4.86241 1.30288i −0.326344 0.0874436i
\(223\) 1.82295 + 6.80333i 0.122074 + 0.455585i 0.999718 0.0237267i \(-0.00755316\pi\)
−0.877645 + 0.479311i \(0.840886\pi\)
\(224\) −2.86585 + 2.58042i −0.191482 + 0.172411i
\(225\) 2.30869 4.43508i 0.153912 0.295672i
\(226\) −10.7238 + 11.9100i −0.713338 + 0.792242i
\(227\) 14.6524 5.62452i 0.972513 0.373313i 0.180337 0.983605i \(-0.442281\pi\)
0.792176 + 0.610292i \(0.208948\pi\)
\(228\) 4.01685 6.18540i 0.266022 0.409638i
\(229\) 0.521396 + 4.96076i 0.0344549 + 0.327816i 0.998149 + 0.0608089i \(0.0193680\pi\)
−0.963695 + 0.267007i \(0.913965\pi\)
\(230\) −11.9654 + 3.48769i −0.788977 + 0.229972i
\(231\) −12.4974 2.65641i −0.822270 0.174779i
\(232\) 0.0919202 + 0.580361i 0.00603485 + 0.0381026i
\(233\) 4.54703 + 28.7088i 0.297886 + 1.88078i 0.450932 + 0.892558i \(0.351092\pi\)
−0.153046 + 0.988219i \(0.548908\pi\)
\(234\) −1.21579 0.258425i −0.0794789 0.0168938i
\(235\) −18.2017 9.98562i −1.18735 0.651390i
\(236\) 0.682306 + 6.49170i 0.0444143 + 0.422574i
\(237\) 4.19158 6.45446i 0.272272 0.419262i
\(238\) 12.7105 4.87912i 0.823902 0.316266i
\(239\) 17.8124 19.7826i 1.15219 1.27963i 0.198071 0.980188i \(-0.436532\pi\)
0.954114 0.299444i \(-0.0968010\pi\)
\(240\) −2.22839 0.185150i −0.143842 0.0119514i
\(241\) 8.84738 7.96622i 0.569910 0.513149i −0.333030 0.942916i \(-0.608071\pi\)
0.902940 + 0.429767i \(0.141404\pi\)
\(242\) 0.00602199 + 0.0224744i 0.000387108 + 0.00144471i
\(243\) −0.965926 0.258819i −0.0619642 0.0166032i
\(244\) 0.0574888 0.176932i 0.00368035 0.0113269i
\(245\) 12.7148 + 12.1716i 0.812317 + 0.777614i
\(246\) 2.43729 + 3.35464i 0.155396 + 0.213884i
\(247\) −6.48212 6.48212i −0.412448 0.412448i
\(248\) −5.55316 0.403069i −0.352626 0.0255949i
\(249\) 10.9216i 0.692129i
\(250\) −9.45564 5.96581i −0.598027 0.377311i
\(251\) −9.17099 20.5984i −0.578868 1.30016i −0.931277 0.364312i \(-0.881304\pi\)
0.352410 0.935846i \(-0.385362\pi\)
\(252\) 1.75076 + 3.43606i 0.110287 + 0.216451i
\(253\) −4.77951 + 17.8374i −0.300485 + 1.12143i
\(254\) −7.00731 + 12.1370i −0.439678 + 0.761544i
\(255\) 7.11048 + 3.42963i 0.445275 + 0.214772i
\(256\) 0.309017 + 0.951057i 0.0193136 + 0.0594410i
\(257\) −0.0233220 0.445010i −0.00145479 0.0277590i 0.997806 0.0662104i \(-0.0210909\pi\)
−0.999260 + 0.0384514i \(0.987758\pi\)
\(258\) 0.975415 + 2.54104i 0.0607267 + 0.158198i
\(259\) 18.9886 4.03614i 1.17989 0.250794i
\(260\) −0.800976 + 2.66141i −0.0496744 + 0.165054i
\(261\) 0.584376 + 0.0614204i 0.0361720 + 0.00380183i
\(262\) −12.3655 + 8.03025i −0.763943 + 0.496110i
\(263\) 3.63500 0.575728i 0.224144 0.0355009i −0.0433522 0.999060i \(-0.513804\pi\)
0.267496 + 0.963559i \(0.413804\pi\)
\(264\) −1.94740 + 2.68037i −0.119854 + 0.164965i
\(265\) −15.0133 + 21.6419i −0.922260 + 1.32945i
\(266\) −2.97297 + 28.2859i −0.182285 + 1.73432i
\(267\) 6.39320 + 5.17711i 0.391257 + 0.316834i
\(268\) 7.76482 + 5.04253i 0.474312 + 0.308022i
\(269\) 1.18084 + 0.525743i 0.0719969 + 0.0320551i 0.442419 0.896808i \(-0.354120\pi\)
−0.370422 + 0.928863i \(0.620787\pi\)
\(270\) −0.755591 + 2.10454i −0.0459838 + 0.128078i
\(271\) 27.3395 8.88315i 1.66076 0.539613i 0.679728 0.733465i \(-0.262098\pi\)
0.981031 + 0.193852i \(0.0620980\pi\)
\(272\) 0.184771 3.52564i 0.0112034 0.213773i
\(273\) 4.62997 1.24060i 0.280219 0.0750844i
\(274\) −3.32006 5.75051i −0.200572 0.347401i
\(275\) −14.8250 + 7.39172i −0.893982 + 0.445737i
\(276\) 5.09191 2.26706i 0.306497 0.136461i
\(277\) −12.3366 1.95392i −0.741234 0.117400i −0.225613 0.974217i \(-0.572439\pi\)
−0.515621 + 0.856817i \(0.672439\pi\)
\(278\) 9.88957 9.88957i 0.593137 0.593137i
\(279\) −1.82660 + 5.25961i −0.109356 + 0.314885i
\(280\) 7.98102 3.26518i 0.476957 0.195132i
\(281\) 7.17129 5.21025i 0.427803 0.310817i −0.352967 0.935636i \(-0.614827\pi\)
0.780770 + 0.624819i \(0.214827\pi\)
\(282\) 8.66787 + 3.32728i 0.516164 + 0.198137i
\(283\) 23.5011 11.9744i 1.39699 0.711804i 0.416644 0.909070i \(-0.363206\pi\)
0.980350 + 0.197266i \(0.0632062\pi\)
\(284\) 3.24865 1.87561i 0.192772 0.111297i
\(285\) −13.1272 + 9.98233i −0.777591 + 0.591302i
\(286\) 2.75552 + 3.06031i 0.162937 + 0.180960i
\(287\) −14.2478 7.25963i −0.841022 0.428522i
\(288\) 0.998630 0.0523360i 0.0588448 0.00308393i
\(289\) 1.84486 4.14362i 0.108521 0.243742i
\(290\) 0.245066 1.29085i 0.0143908 0.0758011i
\(291\) −1.94812 + 0.204755i −0.114201 + 0.0120030i
\(292\) 11.8744 9.61572i 0.694898 0.562718i
\(293\) −9.08469 13.9892i −0.530733 0.817257i 0.467021 0.884246i \(-0.345327\pi\)
−0.997754 + 0.0669892i \(0.978661\pi\)
\(294\) −6.36828 4.62683i −0.371406 0.269842i
\(295\) 3.46913 14.1776i 0.201981 0.825451i
\(296\) 1.04662 4.92394i 0.0608333 0.286198i
\(297\) 2.08501 + 2.57477i 0.120985 + 0.149404i
\(298\) 4.53879 5.60494i 0.262925 0.324685i
\(299\) −1.44041 6.77658i −0.0833008 0.391900i
\(300\) 4.54983 + 2.07341i 0.262685 + 0.119708i
\(301\) −7.80033 7.02345i −0.449604 0.404825i
\(302\) 10.3721 20.3563i 0.596844 1.17137i
\(303\) −2.38242 0.124858i −0.136867 0.00717288i
\(304\) 6.38715 + 3.68762i 0.366328 + 0.211500i
\(305\) −0.254676 + 0.328923i −0.0145827 + 0.0188341i
\(306\) −3.35768 1.09098i −0.191946 0.0623670i
\(307\) −4.42807 + 11.5355i −0.252723 + 0.658367i −0.999981 0.00616751i \(-0.998037\pi\)
0.747258 + 0.664535i \(0.231370\pi\)
\(308\) 1.99870 12.6193i 0.113887 0.719052i
\(309\) 19.1554 1.08971
\(310\) 11.3823 + 5.04419i 0.646470 + 0.286491i
\(311\) −24.9536 −1.41499 −0.707496 0.706718i \(-0.750175\pi\)
−0.707496 + 0.706718i \(0.750175\pi\)
\(312\) 0.194441 1.22765i 0.0110081 0.0695021i
\(313\) −4.63325 + 12.0700i −0.261887 + 0.682238i 0.738085 + 0.674708i \(0.235730\pi\)
−0.999972 + 0.00753037i \(0.997603\pi\)
\(314\) 13.5623 + 4.40665i 0.765363 + 0.248682i
\(315\) −1.08828 8.55417i −0.0613179 0.481973i
\(316\) 6.66498 + 3.84803i 0.374935 + 0.216469i
\(317\) −1.07296 0.0562315i −0.0602634 0.00315827i 0.0221804 0.999754i \(-0.492939\pi\)
−0.0824438 + 0.996596i \(0.526273\pi\)
\(318\) 5.34773 10.4955i 0.299886 0.588559i
\(319\) −1.44673 1.30264i −0.0810015 0.0729341i
\(320\) 0.0682716 2.23503i 0.00381650 0.124942i
\(321\) 2.49099 + 11.7192i 0.139033 + 0.654101i
\(322\) −13.5270 + 16.7045i −0.753830 + 0.930903i
\(323\) −16.3863 20.2354i −0.911759 1.12593i
\(324\) 0.207912 0.978148i 0.0115506 0.0543415i
\(325\) 3.69662 4.99584i 0.205052 0.277119i
\(326\) −1.04358 0.758207i −0.0577987 0.0419932i
\(327\) 9.90556 + 15.2532i 0.547779 + 0.843506i
\(328\) −3.22248 + 2.60952i −0.177932 + 0.144086i
\(329\) −35.6085 + 3.74261i −1.96316 + 0.206337i
\(330\) 6.12364 4.16950i 0.337095 0.229523i
\(331\) 3.65471 8.20862i 0.200881 0.451187i −0.784812 0.619733i \(-0.787241\pi\)
0.985694 + 0.168547i \(0.0539074\pi\)
\(332\) 10.9066 0.571593i 0.598579 0.0313702i
\(333\) −4.48528 2.28536i −0.245792 0.125237i
\(334\) 2.10753 + 2.34065i 0.115319 + 0.128075i
\(335\) −12.5313 16.4792i −0.684656 0.900357i
\(336\) −3.33972 + 1.92819i −0.182197 + 0.105191i
\(337\) −16.4469 + 8.38012i −0.895920 + 0.456494i −0.840402 0.541964i \(-0.817681\pi\)
−0.0555180 + 0.998458i \(0.517681\pi\)
\(338\) 10.6942 + 4.10513i 0.581689 + 0.223289i
\(339\) −12.9657 + 9.42013i −0.704200 + 0.511631i
\(340\) −3.05280 + 7.28022i −0.165561 + 0.394826i
\(341\) 15.1385 10.5406i 0.819797 0.570804i
\(342\) 5.21509 5.21509i 0.282000 0.282000i
\(343\) 3.31995 + 0.525829i 0.179261 + 0.0283921i
\(344\) −2.48651 + 1.10707i −0.134064 + 0.0596890i
\(345\) −12.4291 + 0.923723i −0.669160 + 0.0497316i
\(346\) 6.48979 + 11.2406i 0.348893 + 0.604301i
\(347\) 0.453436 0.121498i 0.0243417 0.00652234i −0.246628 0.969110i \(-0.579322\pi\)
0.270969 + 0.962588i \(0.412656\pi\)
\(348\) −0.0307524 + 0.586790i −0.00164850 + 0.0314552i
\(349\) 9.81715 3.18979i 0.525500 0.170745i −0.0342398 0.999414i \(-0.510901\pi\)
0.559740 + 0.828668i \(0.310901\pi\)
\(350\) −19.2635 + 0.841315i −1.02968 + 0.0449702i
\(351\) −1.13550 0.505555i −0.0606083 0.0269846i
\(352\) −2.77861 1.80445i −0.148101 0.0961776i
\(353\) −17.6252 14.2726i −0.938092 0.759652i 0.0327271 0.999464i \(-0.489581\pi\)
−0.970819 + 0.239812i \(0.922914\pi\)
\(354\) −0.682306 + 6.49170i −0.0362641 + 0.345030i
\(355\) −8.25410 + 1.49264i −0.438082 + 0.0792211i
\(356\) −4.83542 + 6.65538i −0.256277 + 0.352735i
\(357\) 13.4472 2.12983i 0.711702 0.112723i
\(358\) −8.26207 + 5.36545i −0.436664 + 0.283573i
\(359\) −14.5146 1.52554i −0.766050 0.0805151i −0.286560 0.958062i \(-0.592512\pi\)
−0.479490 + 0.877547i \(0.659178\pi\)
\(360\) −2.14120 0.644412i −0.112851 0.0339635i
\(361\) 34.6209 7.35889i 1.82215 0.387310i
\(362\) −2.56638 6.68565i −0.134886 0.351390i
\(363\) 0.00121771 + 0.0232353i 6.39133e−5 + 0.00121954i
\(364\) 1.48121 + 4.55870i 0.0776366 + 0.238941i
\(365\) −32.2557 + 11.2644i −1.68834 + 0.589608i
\(366\) 0.0930189 0.161113i 0.00486218 0.00842153i
\(367\) −2.05206 + 7.65840i −0.107117 + 0.399765i −0.998577 0.0533344i \(-0.983015\pi\)
0.891460 + 0.453099i \(0.149682\pi\)
\(368\) 2.53045 + 4.96628i 0.131909 + 0.258885i
\(369\) 1.68656 + 3.78807i 0.0877988 + 0.197199i
\(370\) −5.92313 + 9.57180i −0.307929 + 0.497614i
\(371\) 45.4258i 2.35839i
\(372\) −5.34800 1.54883i −0.277281 0.0803029i
\(373\) 15.9636 + 15.9636i 0.826562 + 0.826562i 0.987040 0.160477i \(-0.0513034\pi\)
−0.160477 + 0.987040i \(0.551303\pi\)
\(374\) 6.87525 + 9.46296i 0.355511 + 0.489318i
\(375\) −8.00865 7.80138i −0.413565 0.402861i
\(376\) −2.86908 + 8.83012i −0.147962 + 0.455379i
\(377\) 0.705468 + 0.189030i 0.0363335 + 0.00973552i
\(378\) 0.998103 + 3.72497i 0.0513369 + 0.191592i
\(379\) 15.6629 14.1030i 0.804550 0.724420i −0.160344 0.987061i \(-0.551260\pi\)
0.964894 + 0.262641i \(0.0845935\pi\)
\(380\) −10.6557 12.5868i −0.546625 0.645690i
\(381\) −9.37761 + 10.4149i −0.480430 + 0.533571i
\(382\) 3.55632 1.36514i 0.181957 0.0698468i
\(383\) −6.90711 + 10.6360i −0.352937 + 0.543475i −0.969896 0.243520i \(-0.921698\pi\)
0.616959 + 0.786995i \(0.288364\pi\)
\(384\) 0.104528 + 0.994522i 0.00533420 + 0.0507515i
\(385\) −13.7414 + 25.0476i −0.700326 + 1.27655i
\(386\) −20.7275 4.40577i −1.05500 0.224248i
\(387\) 0.425787 + 2.68832i 0.0216440 + 0.136655i
\(388\) −0.306431 1.93473i −0.0155567 0.0982211i
\(389\) −16.0298 3.40724i −0.812744 0.172754i −0.217252 0.976116i \(-0.569709\pi\)
−0.595492 + 0.803362i \(0.703043\pi\)
\(390\) −1.33681 + 2.43672i −0.0676921 + 0.123388i
\(391\) −2.05692 19.5703i −0.104023 0.989713i
\(392\) 4.28720 6.60170i 0.216536 0.333436i
\(393\) −13.7649 + 5.28384i −0.694346 + 0.266534i
\(394\) 11.3597 12.6162i 0.572294 0.635596i
\(395\) −11.1192 13.1343i −0.559467 0.660860i
\(396\) −2.46212 + 2.21691i −0.123726 + 0.111404i
\(397\) −1.13700 4.24333i −0.0570642 0.212966i 0.931506 0.363725i \(-0.118495\pi\)
−0.988571 + 0.150758i \(0.951828\pi\)
\(398\) −8.40223 2.25137i −0.421166 0.112851i
\(399\) −8.78898 + 27.0497i −0.439999 + 1.35418i
\(400\) −1.83245 + 4.65211i −0.0916223 + 0.232606i
\(401\) −9.22720 12.7002i −0.460784 0.634215i 0.513887 0.857858i \(-0.328205\pi\)
−0.974671 + 0.223643i \(0.928205\pi\)
\(402\) 6.54674 + 6.54674i 0.326522 + 0.326522i
\(403\) −3.26511 + 6.10181i −0.162647 + 0.303953i
\(404\) 2.38569i 0.118693i
\(405\) −1.17664 + 1.90145i −0.0584676 + 0.0944840i
\(406\) −0.921660 2.07008i −0.0457412 0.102737i
\(407\) 7.57167 + 14.8602i 0.375314 + 0.736594i
\(408\) 0.913754 3.41018i 0.0452376 0.168829i
\(409\) 1.77585 3.07587i 0.0878102 0.152092i −0.818775 0.574115i \(-0.805346\pi\)
0.906585 + 0.422023i \(0.138680\pi\)
\(410\) 8.75357 3.05695i 0.432308 0.150972i
\(411\) −2.05191 6.31513i −0.101213 0.311502i
\(412\) 1.00252 + 19.1292i 0.0493905 + 0.942427i
\(413\) −9.02096 23.5004i −0.443892 1.15638i
\(414\) 5.45199 1.15886i 0.267951 0.0569547i
\(415\) −23.3853 7.03802i −1.14794 0.345483i
\(416\) 1.23615 + 0.129924i 0.0606070 + 0.00637006i
\(417\) 11.7296 7.61730i 0.574402 0.373021i
\(418\) −24.1342 + 3.82248i −1.18044 + 0.186964i
\(419\) −4.66931 + 6.42675i −0.228111 + 0.313967i −0.907695 0.419630i \(-0.862160\pi\)
0.679585 + 0.733597i \(0.262160\pi\)
\(420\) 8.48549 1.53448i 0.414049 0.0748751i
\(421\) −1.36227 + 12.9611i −0.0663929 + 0.631686i 0.909840 + 0.414960i \(0.136204\pi\)
−0.976233 + 0.216726i \(0.930462\pi\)
\(422\) 9.48245 + 7.67874i 0.461599 + 0.373795i
\(423\) 7.78667 + 5.05672i 0.378601 + 0.245866i
\(424\) 10.7610 + 4.79111i 0.522601 + 0.232677i
\(425\) 11.9256 13.0148i 0.578476 0.631313i
\(426\) 3.56762 1.15919i 0.172852 0.0561630i
\(427\) −0.0375475 + 0.716448i −0.00181705 + 0.0346714i
\(428\) −11.5728 + 3.10091i −0.559390 + 0.149888i
\(429\) 2.05903 + 3.56634i 0.0994108 + 0.172184i
\(430\) 6.06945 0.451078i 0.292695 0.0217529i
\(431\) 3.58008 1.59395i 0.172446 0.0767781i −0.318698 0.947856i \(-0.603245\pi\)
0.491144 + 0.871078i \(0.336579\pi\)
\(432\) 0.987688 + 0.156434i 0.0475202 + 0.00752646i
\(433\) −18.6065 + 18.6065i −0.894170 + 0.894170i −0.994913 0.100743i \(-0.967878\pi\)
0.100743 + 0.994913i \(0.467878\pi\)
\(434\) 21.0877 4.04120i 1.01224 0.193984i
\(435\) 0.508093 1.21169i 0.0243612 0.0580959i
\(436\) −14.7139 + 10.6903i −0.704668 + 0.511972i
\(437\) 38.3777 + 14.7318i 1.83585 + 0.704718i
\(438\) 13.6142 6.93676i 0.650510 0.331451i
\(439\) 16.2101 9.35893i 0.773668 0.446677i −0.0605137 0.998167i \(-0.519274\pi\)
0.834181 + 0.551490i \(0.185941\pi\)
\(440\) 4.48427 + 5.89703i 0.213779 + 0.281130i
\(441\) −5.26715 5.84976i −0.250817 0.278560i
\(442\) −3.90993 1.99221i −0.185977 0.0947598i
\(443\) −26.5833 + 1.39317i −1.26301 + 0.0661916i −0.672048 0.740507i \(-0.734585\pi\)
−0.590963 + 0.806699i \(0.701252\pi\)
\(444\) 2.04749 4.59873i 0.0971695 0.218246i
\(445\) 15.2051 10.3529i 0.720790 0.490775i
\(446\) −7.00474 + 0.736228i −0.331684 + 0.0348614i
\(447\) 5.60494 4.53879i 0.265105 0.214677i
\(448\) −2.10033 3.23423i −0.0992314 0.152803i
\(449\) 13.5019 + 9.80973i 0.637196 + 0.462950i 0.858886 0.512167i \(-0.171157\pi\)
−0.221690 + 0.975117i \(0.571157\pi\)
\(450\) 4.01932 + 2.97406i 0.189473 + 0.140199i
\(451\) 2.85630 13.4378i 0.134498 0.632763i
\(452\) −10.0858 12.4549i −0.474396 0.585830i
\(453\) 14.3777 17.7550i 0.675524 0.834202i
\(454\) 3.26314 + 15.3519i 0.153147 + 0.720498i
\(455\) 0.327246 10.7132i 0.0153415 0.502240i
\(456\) 5.48088 + 4.93501i 0.256666 + 0.231103i
\(457\) −8.59064 + 16.8601i −0.401853 + 0.788681i −0.999919 0.0127662i \(-0.995936\pi\)
0.598065 + 0.801447i \(0.295936\pi\)
\(458\) −4.98125 0.261056i −0.232758 0.0121983i
\(459\) −3.05748 1.76524i −0.142711 0.0823942i
\(460\) −1.57295 12.3637i −0.0733390 0.576461i
\(461\) 14.0955 + 4.57989i 0.656491 + 0.213307i 0.618274 0.785963i \(-0.287832\pi\)
0.0382170 + 0.999269i \(0.487832\pi\)
\(462\) 4.57873 11.9280i 0.213022 0.554941i
\(463\) 2.09316 13.2157i 0.0972773 0.614185i −0.890096 0.455773i \(-0.849363\pi\)
0.987373 0.158412i \(-0.0506373\pi\)
\(464\) −0.587595 −0.0272784
\(465\) 10.0848 + 7.30047i 0.467671 + 0.338551i
\(466\) −29.0667 −1.34649
\(467\) 2.01204 12.7036i 0.0931063 0.587850i −0.896387 0.443272i \(-0.853818\pi\)
0.989493 0.144578i \(-0.0461825\pi\)
\(468\) 0.445435 1.16040i 0.0205903 0.0536394i
\(469\) −33.9567 11.0332i −1.56797 0.509466i
\(470\) 12.7101 16.4155i 0.586271 0.757190i
\(471\) 12.3497 + 7.13011i 0.569045 + 0.328538i
\(472\) −6.51852 0.341621i −0.300039 0.0157244i
\(473\) 4.09396 8.03485i 0.188241 0.369443i
\(474\) 5.71929 + 5.14967i 0.262696 + 0.236532i
\(475\) 12.9148 + 34.5408i 0.592571 + 1.58484i
\(476\) 2.83068 + 13.3173i 0.129744 + 0.610398i
\(477\) 7.41301 9.15431i 0.339419 0.419147i
\(478\) 16.7526 + 20.6877i 0.766246 + 0.946235i
\(479\) −3.40744 + 16.0307i −0.155690 + 0.732463i 0.829154 + 0.559020i \(0.188823\pi\)
−0.984844 + 0.173443i \(0.944511\pi\)
\(480\) 0.531468 2.17199i 0.0242581 0.0991373i
\(481\) −5.06199 3.67775i −0.230807 0.167691i
\(482\) 6.48411 + 9.98465i 0.295343 + 0.454788i
\(483\) −16.7045 + 13.5270i −0.760079 + 0.615500i
\(484\) −0.0231397 + 0.00243208i −0.00105181 + 0.000110549i
\(485\) −0.816969 + 4.30325i −0.0370966 + 0.195401i
\(486\) 0.406737 0.913545i 0.0184499 0.0414393i
\(487\) 27.0234 1.41623i 1.22455 0.0641757i 0.570928 0.821000i \(-0.306584\pi\)
0.653618 + 0.756825i \(0.273250\pi\)
\(488\) 0.165761 + 0.0844594i 0.00750364 + 0.00382330i
\(489\) −0.863137 0.958611i −0.0390324 0.0433499i
\(490\) −14.0108 + 10.6542i −0.632942 + 0.481307i
\(491\) −21.5508 + 12.4423i −0.972572 + 0.561515i −0.900019 0.435850i \(-0.856448\pi\)
−0.0725524 + 0.997365i \(0.523114\pi\)
\(492\) −3.69461 + 1.88250i −0.166566 + 0.0848697i
\(493\) 1.93670 + 0.743431i 0.0872247 + 0.0334824i
\(494\) 7.41634 5.38829i 0.333677 0.242431i
\(495\) 6.85671 2.80521i 0.308186 0.126085i
\(496\) 1.26681 5.42173i 0.0568815 0.243443i
\(497\) −10.2291 + 10.2291i −0.458837 + 0.458837i
\(498\) 10.7871 + 1.70852i 0.483383 + 0.0765604i
\(499\) −21.6902 + 9.65708i −0.970985 + 0.432310i −0.830038 0.557707i \(-0.811681\pi\)
−0.140947 + 0.990017i \(0.545015\pi\)
\(500\) 7.37155 8.40597i 0.329666 0.375926i
\(501\) 1.57483 + 2.72768i 0.0703582 + 0.121864i
\(502\) 21.7794 5.83578i 0.972064 0.260464i
\(503\) 0.0407095 0.776783i 0.00181515 0.0346350i −0.997572 0.0696456i \(-0.977813\pi\)
0.999387 + 0.0350106i \(0.0111465\pi\)
\(504\) −3.66763 + 1.19169i −0.163369 + 0.0530819i
\(505\) −1.80261 + 5.02078i −0.0802150 + 0.223422i
\(506\) −16.8701 7.51104i −0.749967 0.333907i
\(507\) 9.60702 + 6.23887i 0.426663 + 0.277078i
\(508\) −10.8914 8.81969i −0.483228 0.391310i
\(509\) 0.151662 1.44296i 0.00672229 0.0639583i −0.990646 0.136454i \(-0.956430\pi\)
0.997369 + 0.0724953i \(0.0230962\pi\)
\(510\) −4.49973 + 6.48642i −0.199251 + 0.287224i
\(511\) −34.6344 + 47.6702i −1.53214 + 2.10881i
\(512\) −0.987688 + 0.156434i −0.0436501 + 0.00691349i
\(513\) 6.18540 4.01685i 0.273092 0.177348i
\(514\) 0.443180 + 0.0465801i 0.0195478 + 0.00205456i
\(515\) 12.3440 41.0156i 0.543942 1.80736i
\(516\) −2.66235 + 0.565899i −0.117203 + 0.0249123i
\(517\) −11.0237 28.7176i −0.484820 1.26300i
\(518\) 1.01599 + 19.3862i 0.0446399 + 0.851779i
\(519\) 4.01091 + 12.3443i 0.176059 + 0.541855i
\(520\) −2.50335 1.20745i −0.109779 0.0529502i
\(521\) 8.46618 14.6639i 0.370910 0.642435i −0.618796 0.785552i \(-0.712379\pi\)
0.989706 + 0.143117i \(0.0457124\pi\)
\(522\) −0.152081 + 0.567574i −0.00665640 + 0.0248420i
\(523\) −4.09714 8.04108i −0.179155 0.351612i 0.783912 0.620871i \(-0.213221\pi\)
−0.963068 + 0.269259i \(0.913221\pi\)
\(524\) −5.99699 13.4695i −0.261980 0.588416i
\(525\) −19.0175 3.18218i −0.829991 0.138882i
\(526\) 3.68031i 0.160469i
\(527\) −11.0350 + 16.2671i −0.480693 + 0.708608i
\(528\) −2.34273 2.34273i −0.101954 0.101954i
\(529\) 4.74173 + 6.52644i 0.206162 + 0.283758i
\(530\) −19.0268 18.2140i −0.826473 0.791166i
\(531\) −2.01710 + 6.20799i −0.0875345 + 0.269404i
\(532\) −27.4726 7.36126i −1.19109 0.319151i
\(533\) 1.33395 + 4.97837i 0.0577798 + 0.215637i
\(534\) −6.11349 + 5.50461i −0.264556 + 0.238208i
\(535\) 26.6983 + 2.21828i 1.15427 + 0.0959048i
\(536\) −6.19514 + 6.88040i −0.267589 + 0.297188i
\(537\) −9.19706 + 3.53042i −0.396882 + 0.152349i
\(538\) −0.703994 + 1.08406i −0.0303513 + 0.0467369i
\(539\) 2.72606 + 25.9368i 0.117420 + 1.11718i
\(540\) −1.96043 1.07551i −0.0843634 0.0462826i
\(541\) 20.2096 + 4.29569i 0.868880 + 0.184686i 0.620719 0.784033i \(-0.286841\pi\)
0.248161 + 0.968719i \(0.420174\pi\)
\(542\) 4.49694 + 28.3926i 0.193160 + 1.21957i
\(543\) −1.12027 7.07313i −0.0480756 0.303537i
\(544\) 3.45332 + 0.734027i 0.148060 + 0.0314711i
\(545\) 39.0435 11.3804i 1.67244 0.487483i
\(546\) 0.501036 + 4.76704i 0.0214424 + 0.204011i
\(547\) −7.58265 + 11.6762i −0.324210 + 0.499240i −0.962766 0.270335i \(-0.912865\pi\)
0.638556 + 0.769576i \(0.279532\pi\)
\(548\) 6.19909 2.37961i 0.264812 0.101652i
\(549\) 0.124484 0.138253i 0.00531283 0.00590049i
\(550\) −4.98157 15.7988i −0.212415 0.673663i
\(551\) −3.22054 + 2.89979i −0.137200 + 0.123535i
\(552\) 1.44260 + 5.38387i 0.0614012 + 0.229153i
\(553\) −28.6676 7.68146i −1.21907 0.326649i
\(554\) 3.85974 11.8791i 0.163985 0.504692i
\(555\) −7.78378 + 8.13115i −0.330403 + 0.345148i
\(556\) 8.22074 + 11.3149i 0.348637 + 0.479858i
\(557\) −18.5998 18.5998i −0.788100 0.788100i 0.193082 0.981183i \(-0.438152\pi\)
−0.981183 + 0.193082i \(0.938152\pi\)
\(558\) −4.90912 2.62689i −0.207819 0.111205i
\(559\) 3.38311i 0.143090i
\(560\) 1.97648 + 8.39355i 0.0835214 + 0.354692i
\(561\) 4.75754 + 10.6856i 0.200864 + 0.451147i
\(562\) 4.02426 + 7.89806i 0.169753 + 0.333160i
\(563\) 6.47884 24.1793i 0.273050 1.01904i −0.684086 0.729401i \(-0.739799\pi\)
0.957137 0.289637i \(-0.0935345\pi\)
\(564\) −4.64227 + 8.04065i −0.195475 + 0.338572i
\(565\) 11.8151 + 33.8326i 0.497066 + 1.42335i
\(566\) 8.15059 + 25.0849i 0.342595 + 1.05440i
\(567\) 0.201827 + 3.85109i 0.00847594 + 0.161731i
\(568\) 1.34432 + 3.50206i 0.0564063 + 0.146943i
\(569\) −10.5273 + 2.23765i −0.441328 + 0.0938072i −0.423216 0.906029i \(-0.639099\pi\)
−0.0181120 + 0.999836i \(0.505766\pi\)
\(570\) −7.80587 14.5272i −0.326952 0.608478i
\(571\) 27.9580 + 2.93851i 1.17001 + 0.122973i 0.669536 0.742780i \(-0.266493\pi\)
0.500472 + 0.865753i \(0.333160\pi\)
\(572\) −3.45369 + 2.24285i −0.144406 + 0.0937784i
\(573\) 3.76243 0.595911i 0.157178 0.0248945i
\(574\) 9.39910 12.9367i 0.392311 0.539969i
\(575\) −6.03159 + 27.2084i −0.251535 + 1.13467i
\(576\) −0.104528 + 0.994522i −0.00435535 + 0.0414384i
\(577\) −14.7730 11.9629i −0.615008 0.498024i 0.270455 0.962733i \(-0.412826\pi\)
−0.885464 + 0.464709i \(0.846159\pi\)
\(578\) 3.80400 + 2.47035i 0.158226 + 0.102753i
\(579\) −19.3585 8.61898i −0.804514 0.358193i
\(580\) 1.23662 + 0.443982i 0.0513477 + 0.0184353i
\(581\) −40.0564 + 13.0151i −1.66182 + 0.539958i
\(582\) 0.102518 1.95616i 0.00424952 0.0810856i
\(583\) −37.6967 + 10.1008i −1.56124 + 0.418332i
\(584\) 7.63977 + 13.2325i 0.316136 + 0.547563i
\(585\) −1.81422 + 2.10554i −0.0750089 + 0.0870532i
\(586\) 15.2381 6.78445i 0.629481 0.280263i
\(587\) 17.3205 + 2.74329i 0.714892 + 0.113228i 0.503277 0.864125i \(-0.332128\pi\)
0.211615 + 0.977353i \(0.432128\pi\)
\(588\) 5.56608 5.56608i 0.229541 0.229541i
\(589\) −19.8130 35.9676i −0.816382 1.48202i
\(590\) 13.4603 + 5.64429i 0.554154 + 0.232372i
\(591\) 13.7345 9.97872i 0.564963 0.410470i
\(592\) 4.69959 + 1.80400i 0.193152 + 0.0741441i
\(593\) −33.4692 + 17.0534i −1.37442 + 0.700300i −0.976176 0.216980i \(-0.930379\pi\)
−0.398241 + 0.917281i \(0.630379\pi\)
\(594\) −2.86924 + 1.65656i −0.117726 + 0.0679694i
\(595\) 4.10516 30.1656i 0.168295 1.23667i
\(596\) 4.82591 + 5.35972i 0.197677 + 0.219543i
\(597\) −7.75054 3.94910i −0.317208 0.161626i
\(598\) 6.91847 0.362582i 0.282917 0.0148271i
\(599\) −5.94542 + 13.3536i −0.242923 + 0.545615i −0.993323 0.115370i \(-0.963195\pi\)
0.750399 + 0.660985i \(0.229861\pi\)
\(600\) −2.75963 + 4.16947i −0.112661 + 0.170218i
\(601\) −1.31337 + 0.138041i −0.0535735 + 0.00563080i −0.131277 0.991346i \(-0.541908\pi\)
0.0777038 + 0.996976i \(0.475241\pi\)
\(602\) 8.15722 6.60559i 0.332464 0.269224i
\(603\) 5.04253 + 7.76482i 0.205348 + 0.316208i
\(604\) 18.4831 + 13.4288i 0.752068 + 0.546409i
\(605\) 0.0505361 + 0.0123658i 0.00205459 + 0.000502740i
\(606\) 0.496013 2.33356i 0.0201492 0.0947944i
\(607\) 16.2268 + 20.0384i 0.658625 + 0.813335i 0.991565 0.129614i \(-0.0413737\pi\)
−0.332939 + 0.942948i \(0.608040\pi\)
\(608\) −4.64139 + 5.73165i −0.188233 + 0.232449i
\(609\) −0.471125 2.21647i −0.0190910 0.0898159i
\(610\) −0.285033 0.302995i −0.0115407 0.0122679i
\(611\) 8.57609 + 7.72195i 0.346952 + 0.312397i
\(612\) 1.60280 3.14568i 0.0647894 0.127156i
\(613\) 15.0200 + 0.787163i 0.606650 + 0.0317932i 0.353189 0.935552i \(-0.385097\pi\)
0.253462 + 0.967345i \(0.418431\pi\)
\(614\) −10.7008 6.17811i −0.431849 0.249328i
\(615\) 9.19786 1.17018i 0.370893 0.0471861i
\(616\) 12.1513 + 3.94819i 0.489589 + 0.159077i
\(617\) −0.791875 + 2.06291i −0.0318797 + 0.0830495i −0.948596 0.316489i \(-0.897496\pi\)
0.916717 + 0.399538i \(0.130829\pi\)
\(618\) −2.99657 + 18.9196i −0.120540 + 0.761058i
\(619\) 5.36103 0.215478 0.107739 0.994179i \(-0.465639\pi\)
0.107739 + 0.994179i \(0.465639\pi\)
\(620\) −6.76267 + 10.4531i −0.271595 + 0.419805i
\(621\) 5.57379 0.223668
\(622\) 3.90361 24.6464i 0.156521 0.988232i
\(623\) 11.3690 29.6174i 0.455491 1.18660i
\(624\) 1.18212 + 0.384094i 0.0473227 + 0.0153761i
\(625\) −21.8652 + 12.1208i −0.874607 + 0.484832i
\(626\) −11.1966 6.46437i −0.447507 0.258368i
\(627\) −24.4016 1.27883i −0.974505 0.0510716i
\(628\) −6.47400 + 12.7059i −0.258341 + 0.507022i
\(629\) −13.2073 11.8919i −0.526610 0.474162i
\(630\) 8.61910 + 0.263281i 0.343393 + 0.0104894i
\(631\) −2.09857 9.87299i −0.0835427 0.393038i 0.916432 0.400191i \(-0.131056\pi\)
−0.999974 + 0.00715351i \(0.997723\pi\)
\(632\) −4.84329 + 5.98096i −0.192656 + 0.237910i
\(633\) 7.67874 + 9.48245i 0.305202 + 0.376894i
\(634\) 0.223387 1.05095i 0.00887183 0.0417387i
\(635\) 16.2573 + 26.7908i 0.645152 + 1.06316i
\(636\) 9.52973 + 6.92376i 0.377878 + 0.274545i
\(637\) −5.32879 8.20562i −0.211135 0.325119i
\(638\) 1.51293 1.22514i 0.0598973 0.0485039i
\(639\) 3.73067 0.392109i 0.147583 0.0155116i
\(640\) 2.19683 + 0.417066i 0.0868373 + 0.0164860i
\(641\) 11.7626 26.4192i 0.464594 1.04350i −0.517599 0.855623i \(-0.673174\pi\)
0.982193 0.187873i \(-0.0601592\pi\)
\(642\) −11.9646 + 0.627037i −0.472204 + 0.0247472i
\(643\) 6.14907 + 3.13311i 0.242496 + 0.123558i 0.571015 0.820939i \(-0.306550\pi\)
−0.328520 + 0.944497i \(0.606550\pi\)
\(644\) −14.3827 15.9736i −0.566758 0.629449i
\(645\) 6.03060 + 0.820689i 0.237455 + 0.0323146i
\(646\) 22.5497 13.0191i 0.887205 0.512228i
\(647\) −6.73712 + 3.43274i −0.264864 + 0.134955i −0.581380 0.813632i \(-0.697487\pi\)
0.316516 + 0.948587i \(0.397487\pi\)
\(648\) 0.933580 + 0.358368i 0.0366745 + 0.0140780i
\(649\) 17.4960 12.7116i 0.686778 0.498973i
\(650\) 4.35605 + 4.43263i 0.170858 + 0.173862i
\(651\) 21.4671 + 0.431479i 0.841360 + 0.0169110i
\(652\) 0.912124 0.912124i 0.0357215 0.0357215i
\(653\) 42.5038 + 6.73194i 1.66330 + 0.263441i 0.916040 0.401087i \(-0.131367\pi\)
0.747263 + 0.664528i \(0.231367\pi\)
\(654\) −16.6150 + 7.39748i −0.649698 + 0.289264i
\(655\) 2.44349 + 32.8783i 0.0954752 + 1.28466i
\(656\) −2.07328 3.59103i −0.0809480 0.140206i
\(657\) 14.7589 3.95463i 0.575799 0.154285i
\(658\) 1.87387 35.7556i 0.0730511 1.39390i
\(659\) −42.8282 + 13.9157i −1.66835 + 0.542080i −0.982597 0.185752i \(-0.940528\pi\)
−0.685755 + 0.727832i \(0.740528\pi\)
\(660\) 3.16021 + 6.70050i 0.123011 + 0.260817i
\(661\) 8.74756 + 3.89466i 0.340241 + 0.151485i 0.569742 0.821823i \(-0.307043\pi\)
−0.229502 + 0.973308i \(0.573710\pi\)
\(662\) 7.53584 + 4.89383i 0.292889 + 0.190204i
\(663\) −3.41029 2.76160i −0.132445 0.107252i
\(664\) −1.14162 + 10.8618i −0.0443034 + 0.421519i
\(665\) 52.2550 + 36.2501i 2.02636 + 1.40572i
\(666\) 2.95888 4.07254i 0.114654 0.157808i
\(667\) −3.23481 + 0.512344i −0.125252 + 0.0198380i
\(668\) −2.64153 + 1.71543i −0.102204 + 0.0663719i
\(669\) −7.00474 0.736228i −0.270819 0.0284642i
\(670\) 18.2367 9.79907i 0.704544 0.378571i
\(671\) −0.602896 + 0.128149i −0.0232745 + 0.00494715i
\(672\) −1.38200 3.60024i −0.0533119 0.138882i
\(673\) 1.91169 + 36.4771i 0.0736900 + 1.40609i 0.746062 + 0.665876i \(0.231942\pi\)
−0.672372 + 0.740213i \(0.734724\pi\)
\(674\) −5.70408 17.5554i −0.219713 0.676207i
\(675\) 3.31315 + 3.74474i 0.127523 + 0.144135i
\(676\) −5.72753 + 9.92038i −0.220290 + 0.381553i
\(677\) −7.25522 + 27.0769i −0.278841 + 1.04065i 0.674383 + 0.738382i \(0.264410\pi\)
−0.953223 + 0.302266i \(0.902257\pi\)
\(678\) −7.27587 14.2797i −0.279428 0.548409i
\(679\) 3.07251 + 6.90097i 0.117912 + 0.264835i
\(680\) −6.71303 4.15409i −0.257433 0.159302i
\(681\) 15.6948i 0.601427i
\(682\) 8.04262 + 16.6011i 0.307968 + 0.635687i
\(683\) −29.4404 29.4404i −1.12650 1.12650i −0.990741 0.135763i \(-0.956651\pi\)
−0.135763 0.990741i \(-0.543349\pi\)
\(684\) 4.33506 + 5.96670i 0.165755 + 0.228143i
\(685\) −14.8442 + 0.323999i −0.567169 + 0.0123794i
\(686\) −1.03871 + 3.19682i −0.0396581 + 0.122055i
\(687\) −4.81812 1.29101i −0.183823 0.0492551i
\(688\) −0.704460 2.62908i −0.0268573 0.100233i
\(689\) 10.8806 9.79692i 0.414517 0.373233i
\(690\) 1.03199 12.4206i 0.0392871 0.472843i
\(691\) 10.2382 11.3706i 0.389478 0.432559i −0.516237 0.856445i \(-0.672668\pi\)
0.905715 + 0.423887i \(0.139334\pi\)
\(692\) −12.1175 + 4.65147i −0.460638 + 0.176822i
\(693\) 6.95864 10.7154i 0.264337 0.407043i
\(694\) 0.0490689 + 0.466860i 0.00186263 + 0.0177218i
\(695\) −8.75145 30.0241i −0.331961 1.13888i
\(696\) −0.574755 0.122168i −0.0217860 0.00463076i
\(697\) 2.29010 + 14.4591i 0.0867436 + 0.547677i
\(698\) 1.61477 + 10.1953i 0.0611201 + 0.385897i
\(699\) −28.4315 6.04330i −1.07538 0.228579i
\(700\) 2.18252 19.1580i 0.0824915 0.724103i
\(701\) 0.0172117 + 0.163759i 0.000650079 + 0.00618508i 0.994842 0.101435i \(-0.0323435\pi\)
−0.994192 + 0.107621i \(0.965677\pi\)
\(702\) 0.676962 1.04243i 0.0255503 0.0393440i
\(703\) 34.6606 13.3050i 1.30725 0.501807i
\(704\) 2.21691 2.46212i 0.0835528 0.0927948i
\(705\) 15.8453 13.4142i 0.596768 0.505208i
\(706\) 16.8540 15.1754i 0.634310 0.571135i
\(707\) 2.38117 + 8.88664i 0.0895530 + 0.334217i
\(708\) −6.30504 1.68943i −0.236958 0.0634927i
\(709\) −10.9847 + 33.8076i −0.412541 + 1.26967i 0.501891 + 0.864931i \(0.332638\pi\)
−0.914432 + 0.404739i \(0.867362\pi\)
\(710\) −0.183038 8.38598i −0.00686928 0.314720i
\(711\) 4.52363 + 6.22624i 0.169649 + 0.233502i
\(712\) −5.81702 5.81702i −0.218002 0.218002i
\(713\) 2.24662 30.9521i 0.0841367 1.15917i
\(714\) 13.6148i 0.509522i
\(715\) 8.96310 2.11059i 0.335201 0.0789317i
\(716\) −4.00692 8.99969i −0.149746 0.336334i
\(717\) 12.0853 + 23.7187i 0.451333 + 0.885792i
\(718\) 3.77734 14.0972i 0.140969 0.526104i
\(719\) −10.2532 + 17.7591i −0.382381 + 0.662304i −0.991402 0.130850i \(-0.958229\pi\)
0.609021 + 0.793154i \(0.291563\pi\)
\(720\) 0.971436 2.01403i 0.0362033 0.0750584i
\(721\) −22.8273 70.2551i −0.850132 2.61644i
\(722\) 1.85239 + 35.3458i 0.0689390 + 1.31543i
\(723\) 4.26649 + 11.1146i 0.158672 + 0.413356i
\(724\) 7.00481 1.48892i 0.260332 0.0553352i
\(725\) −2.26704 1.86875i −0.0841957 0.0694038i
\(726\) −0.0231397 0.00243208i −0.000858796 9.02631e-5i
\(727\) −36.9499 + 23.9955i −1.37040 + 0.889945i −0.999254 0.0386307i \(-0.987700\pi\)
−0.371142 + 0.928576i \(0.621034\pi\)
\(728\) −4.73429 + 0.749838i −0.175464 + 0.0277908i
\(729\) 0.587785 0.809017i 0.0217698 0.0299636i
\(730\) −6.07985 33.6208i −0.225025 1.24436i
\(731\) −1.00445 + 9.55669i −0.0371509 + 0.353467i
\(732\) 0.144579 + 0.117077i 0.00534378 + 0.00432730i
\(733\) 22.7975 + 14.8049i 0.842045 + 0.546830i 0.892059 0.451918i \(-0.149260\pi\)
−0.0500147 + 0.998748i \(0.515927\pi\)
\(734\) −7.24310 3.22483i −0.267348 0.119031i
\(735\) −15.9197 + 7.50835i −0.587208 + 0.276950i
\(736\) −5.30099 + 1.72240i −0.195397 + 0.0634883i
\(737\) 1.60538 30.6324i 0.0591348 1.12836i
\(738\) −4.00527 + 1.07321i −0.147436 + 0.0395054i
\(739\) −18.1362 31.4128i −0.667150 1.15554i −0.978698 0.205307i \(-0.934181\pi\)
0.311548 0.950230i \(-0.399153\pi\)
\(740\) −8.52738 7.34756i −0.313473 0.270102i
\(741\) 8.37457 3.72860i 0.307647 0.136973i
\(742\) −44.8665 7.10616i −1.64710 0.260875i
\(743\) 20.3456 20.3456i 0.746407 0.746407i −0.227395 0.973803i \(-0.573021\pi\)
0.973803 + 0.227395i \(0.0730209\pi\)
\(744\) 2.36637 5.03987i 0.0867554 0.184771i
\(745\) −6.10656 14.9261i −0.223727 0.546852i
\(746\) −18.2643 + 13.2698i −0.668703 + 0.485841i
\(747\) 10.1962 + 3.91395i 0.373059 + 0.143204i
\(748\) −10.4220 + 5.31027i −0.381066 + 0.194163i
\(749\) 40.0132 23.1016i 1.46205 0.844114i
\(750\) 8.95816 6.68965i 0.327106 0.244271i
\(751\) 0.144182 + 0.160130i 0.00526128 + 0.00584324i 0.745770 0.666204i \(-0.232082\pi\)
−0.740508 + 0.672047i \(0.765415\pi\)
\(752\) −8.27259 4.21509i −0.301670 0.153709i
\(753\) 22.5168 1.18006i 0.820559 0.0430037i
\(754\) −0.297062 + 0.667212i −0.0108184 + 0.0242984i
\(755\) −28.7518 42.2271i −1.04638 1.53680i
\(756\) −3.83525 + 0.403101i −0.139487 + 0.0146606i
\(757\) 19.6364 15.9012i 0.713696 0.577940i −0.202205 0.979343i \(-0.564811\pi\)
0.915901 + 0.401404i \(0.131478\pi\)
\(758\) 11.4791 + 17.6763i 0.416940 + 0.642031i
\(759\) −14.9398 10.8544i −0.542280 0.393990i
\(760\) 14.0988 8.55547i 0.511416 0.310340i
\(761\) 5.70456 26.8378i 0.206790 0.972871i −0.745223 0.666815i \(-0.767657\pi\)
0.952013 0.306056i \(-0.0990095\pi\)
\(762\) −8.81969 10.8914i −0.319504 0.394554i
\(763\) 44.1389 54.5070i 1.59794 1.97329i
\(764\) 0.792005 + 3.72609i 0.0286537 + 0.134805i
\(765\) −5.75000 + 5.40913i −0.207892 + 0.195568i
\(766\) −9.42456 8.48591i −0.340523 0.306608i
\(767\) −3.68338 + 7.22904i −0.132999 + 0.261026i
\(768\) −0.998630 0.0523360i −0.0360349 0.00188851i
\(769\) 16.0954 + 9.29270i 0.580416 + 0.335103i 0.761299 0.648401i \(-0.224562\pi\)
−0.180883 + 0.983505i \(0.557895\pi\)
\(770\) −22.5896 17.4905i −0.814074 0.630315i
\(771\) 0.423811 + 0.137704i 0.0152632 + 0.00495930i
\(772\) 7.59402 19.7831i 0.273315 0.712009i
\(773\) 0.257819 1.62780i 0.00927310 0.0585480i −0.982618 0.185640i \(-0.940564\pi\)
0.991891 + 0.127092i \(0.0405643\pi\)
\(774\) −2.72183 −0.0978340
\(775\) 22.1305 16.8890i 0.794952 0.606672i
\(776\) 1.95885 0.0703185
\(777\) −3.03683 + 19.1738i −0.108946 + 0.687855i
\(778\) 5.87291 15.2994i 0.210554 0.548512i
\(779\) −29.0851 9.45034i −1.04208 0.338593i
\(780\) −2.19760 1.70154i −0.0786867 0.0609249i
\(781\) −10.7632 6.21411i −0.385136 0.222358i
\(782\) 19.6511 + 1.02987i 0.702724 + 0.0368282i
\(783\) −0.266763 + 0.523551i −0.00953332 + 0.0187102i
\(784\) 5.84976 + 5.26715i 0.208920 + 0.188112i
\(785\) 23.2253 21.8485i 0.828946 0.779805i
\(786\) −3.06548 14.4220i −0.109342 0.514415i
\(787\) 20.8866 25.7929i 0.744528 0.919416i −0.254333 0.967117i \(-0.581856\pi\)
0.998862 + 0.0477006i \(0.0151893\pi\)
\(788\) 10.6839 + 13.1935i 0.380596 + 0.469997i
\(789\) −0.765180 + 3.59989i −0.0272411 + 0.128160i
\(790\) 14.7120 8.92762i 0.523431 0.317631i
\(791\) 50.0006 + 36.3276i 1.77782 + 1.29166i
\(792\) −1.80445 2.77861i −0.0641184 0.0987337i
\(793\) 0.179705 0.145522i 0.00638150 0.00516763i
\(794\) 4.36895 0.459195i 0.155048 0.0162962i
\(795\) −14.8242 21.7719i −0.525759 0.772169i
\(796\) 3.53805 7.94660i 0.125403 0.281660i
\(797\) −27.4713 + 1.43971i −0.973084 + 0.0509972i −0.532246 0.846590i \(-0.678652\pi\)
−0.440838 + 0.897587i \(0.645319\pi\)
\(798\) −25.3418 12.9123i −0.897089 0.457090i
\(799\) 21.9333 + 24.3594i 0.775945 + 0.861774i
\(800\) −4.30818 2.53764i −0.152317 0.0897190i
\(801\) −7.12436 + 4.11325i −0.251727 + 0.145335i
\(802\) 13.9872 7.12686i 0.493907 0.251658i
\(803\) −47.2605 18.1416i −1.66779 0.640204i
\(804\) −7.49027 + 5.44200i −0.264162 + 0.191925i
\(805\) 18.1994 + 44.4845i 0.641446 + 1.56787i
\(806\) −5.51591 4.17945i −0.194290 0.147215i
\(807\) −0.913997 + 0.913997i −0.0321742 + 0.0321742i
\(808\) 2.35632 + 0.373205i 0.0828951 + 0.0131293i
\(809\) 31.9114 14.2078i 1.12194 0.499521i 0.239951 0.970785i \(-0.422869\pi\)
0.881992 + 0.471264i \(0.156202\pi\)
\(810\) −1.69398 1.45960i −0.0595203 0.0512853i
\(811\) −18.5914 32.2012i −0.652832 1.13074i −0.982433 0.186618i \(-0.940247\pi\)
0.329601 0.944120i \(-0.393086\pi\)
\(812\) 2.18878 0.586481i 0.0768110 0.0205814i
\(813\) −1.50447 + 28.7071i −0.0527642 + 1.00680i
\(814\) −15.8617 + 5.15379i −0.555954 + 0.180640i
\(815\) −2.60879 + 1.23041i −0.0913820 + 0.0430993i
\(816\) 3.22525 + 1.43597i 0.112906 + 0.0502691i
\(817\) −16.8356 10.9332i −0.589003 0.382503i
\(818\) 2.76019 + 2.23516i 0.0965079 + 0.0781505i
\(819\) −0.501036 + 4.76704i −0.0175076 + 0.166574i
\(820\) 1.64995 + 9.12401i 0.0576188 + 0.318624i
\(821\) −1.84057 + 2.53332i −0.0642362 + 0.0884135i −0.839926 0.542700i \(-0.817402\pi\)
0.775690 + 0.631114i \(0.217402\pi\)
\(822\) 6.55837 1.03874i 0.228749 0.0362304i
\(823\) −44.4128 + 28.8420i −1.54813 + 1.00537i −0.564450 + 0.825467i \(0.690912\pi\)
−0.983684 + 0.179903i \(0.942422\pi\)
\(824\) −19.0505 2.00229i −0.663656 0.0697530i
\(825\) −1.58796 16.4893i −0.0552855 0.574083i
\(826\) 24.6223 5.23362i 0.856718 0.182101i
\(827\) −17.6896 46.0830i −0.615128 1.60246i −0.786730 0.617297i \(-0.788228\pi\)
0.171602 0.985166i \(-0.445106\pi\)
\(828\) 0.291710 + 5.56615i 0.0101376 + 0.193437i
\(829\) 7.05106 + 21.7009i 0.244893 + 0.753705i 0.995654 + 0.0931301i \(0.0296873\pi\)
−0.750760 + 0.660575i \(0.770313\pi\)
\(830\) 10.6096 21.9964i 0.368266 0.763507i
\(831\) 6.24519 10.8170i 0.216643 0.375237i
\(832\) −0.321700 + 1.20060i −0.0111530 + 0.0416234i
\(833\) −12.6167 24.7616i −0.437141 0.857938i
\(834\) 5.68860 + 12.7768i 0.196980 + 0.442425i
\(835\) 6.85535 1.61427i 0.237239 0.0558641i
\(836\) 24.4351i 0.845104i
\(837\) −4.25568 3.59015i −0.147098 0.124094i
\(838\) −5.61719 5.61719i −0.194043 0.194043i
\(839\) 16.3248 + 22.4691i 0.563593 + 0.775720i 0.991778 0.127972i \(-0.0408466\pi\)
−0.428184 + 0.903691i \(0.640847\pi\)
\(840\) 0.188169 + 8.62106i 0.00649244 + 0.297455i
\(841\) −8.85480 + 27.2523i −0.305338 + 0.939733i
\(842\) −12.5884 3.37306i −0.433826 0.116243i
\(843\) 2.29422 + 8.56216i 0.0790173 + 0.294897i
\(844\) −9.06758 + 8.16449i −0.312119 + 0.281033i
\(845\) 19.5496 16.5501i 0.672525 0.569342i
\(846\) −6.21257 + 6.89976i −0.213593 + 0.237219i
\(847\) 0.0837674 0.0321553i 0.00287828 0.00110487i
\(848\) −6.41552 + 9.87903i −0.220310 + 0.339247i
\(849\) 2.75703 + 26.2314i 0.0946210 + 0.900259i
\(850\) 10.9890 + 13.8147i 0.376921 + 0.473842i
\(851\) 27.4450 + 5.83361i 0.940802 + 0.199974i
\(852\) 0.586820 + 3.70503i 0.0201041 + 0.126932i
\(853\) 4.08185 + 25.7718i 0.139760 + 0.882409i 0.953547 + 0.301246i \(0.0974024\pi\)
−0.813787 + 0.581164i \(0.802598\pi\)
\(854\) −0.701754 0.149162i −0.0240135 0.00510423i
\(855\) −4.61492 15.8327i −0.157827 0.541467i
\(856\) −1.25236 11.9154i −0.0428046 0.407259i
\(857\) 6.89123 10.6116i 0.235400 0.362484i −0.701153 0.713011i \(-0.747331\pi\)
0.936553 + 0.350527i \(0.113997\pi\)
\(858\) −3.84453 + 1.47578i −0.131250 + 0.0503822i
\(859\) 26.1575 29.0509i 0.892483 0.991203i −0.107512 0.994204i \(-0.534289\pi\)
0.999995 + 0.00300080i \(0.000955184\pi\)
\(860\) −0.503947 + 6.06529i −0.0171844 + 0.206825i
\(861\) 11.8834 10.6999i 0.404985 0.364651i
\(862\) 1.01428 + 3.78535i 0.0345466 + 0.128930i
\(863\) 18.5141 + 4.96085i 0.630228 + 0.168869i 0.559773 0.828646i \(-0.310888\pi\)
0.0704551 + 0.997515i \(0.477555\pi\)
\(864\) −0.309017 + 0.951057i −0.0105130 + 0.0323556i
\(865\) 29.0163 0.633328i 0.986584 0.0215338i
\(866\) −15.4667 21.2881i −0.525580 0.723399i
\(867\) 3.20726 + 3.20726i 0.108924 + 0.108924i
\(868\) 0.692611 + 21.4602i 0.0235088 + 0.728407i
\(869\) 25.4979i 0.864958i
\(870\) 1.11728 + 0.691387i 0.0378795 + 0.0234402i
\(871\) 4.68068 + 10.5130i 0.158599 + 0.356218i
\(872\) −8.25690 16.2051i −0.279614 0.548773i
\(873\) 0.506987 1.89210i 0.0171589 0.0640379i
\(874\) −20.5540 + 35.6006i −0.695251 + 1.20421i
\(875\) −19.0688 + 38.6696i −0.644642 + 1.30727i
\(876\) 4.72164 + 14.5317i 0.159529 + 0.490981i
\(877\) 3.00100 + 57.2625i 0.101337 + 1.93362i 0.300751 + 0.953703i \(0.402763\pi\)
−0.199414 + 0.979915i \(0.563904\pi\)
\(878\) 6.70788 + 17.4746i 0.226380 + 0.589740i
\(879\) 16.3157 3.46801i 0.550315 0.116973i
\(880\) −6.52592 + 3.50656i −0.219989 + 0.118206i
\(881\) 9.77766 + 1.02767i 0.329418 + 0.0346232i 0.267794 0.963476i \(-0.413705\pi\)
0.0616238 + 0.998099i \(0.480372\pi\)
\(882\) 6.60170 4.28720i 0.222291 0.144357i
\(883\) −13.0940 + 2.07389i −0.440649 + 0.0697919i −0.372817 0.927905i \(-0.621608\pi\)
−0.0678318 + 0.997697i \(0.521608\pi\)
\(884\) 2.57933 3.55015i 0.0867523 0.119404i
\(885\) 11.9927 + 8.31951i 0.403130 + 0.279657i
\(886\) 2.78253 26.4740i 0.0934808 0.889410i
\(887\) −44.3841 35.9415i −1.49027 1.20680i −0.923892 0.382653i \(-0.875010\pi\)
−0.566379 0.824145i \(-0.691656\pi\)
\(888\) 4.22182 + 2.74168i 0.141675 + 0.0920048i
\(889\) 49.3732 + 21.9823i 1.65592 + 0.737264i
\(890\) 7.84685 + 16.6374i 0.263027 + 0.557688i
\(891\) −3.15096 + 1.02381i −0.105561 + 0.0342989i
\(892\) 0.368619 7.03367i 0.0123423 0.235505i
\(893\) −66.1426 + 17.7228i −2.21338 + 0.593072i
\(894\) 3.60611 + 6.24596i 0.120606 + 0.208896i
\(895\) 1.63263 + 21.9678i 0.0545729 + 0.734302i
\(896\) 3.52297 1.56853i 0.117694 0.0524009i
\(897\) 6.84267 + 1.08377i 0.228470 + 0.0361861i
\(898\) −11.8011 + 11.8011i −0.393809 + 0.393809i
\(899\) 2.79984 + 1.69240i 0.0933798 + 0.0564448i
\(900\) −3.56621 + 3.50459i −0.118874 + 0.116820i
\(901\) 33.6445 24.4441i 1.12086 0.814352i
\(902\) 12.8256 + 4.92327i 0.427045 + 0.163927i
\(903\) 9.35235 4.76526i 0.311227 0.158578i
\(904\) 13.8793 8.01324i 0.461620 0.266517i
\(905\) −15.8669 2.15929i −0.527434 0.0717771i
\(906\) 15.2872 + 16.9782i 0.507884 + 0.564063i
\(907\) 40.3296 + 20.5490i 1.33912 + 0.682317i 0.969091 0.246702i \(-0.0793470\pi\)
0.370031 + 0.929019i \(0.379347\pi\)
\(908\) −15.6733 + 0.821404i −0.520137 + 0.0272592i
\(909\) 0.970349 2.17944i 0.0321844 0.0722874i
\(910\) 10.5301 + 1.99912i 0.349068 + 0.0662703i
\(911\) 22.8869 2.40551i 0.758276 0.0796980i 0.282503 0.959266i \(-0.408835\pi\)
0.475773 + 0.879568i \(0.342169\pi\)
\(912\) −5.73165 + 4.64139i −0.189794 + 0.153692i
\(913\) −19.7075 30.3469i −0.652223 1.00434i
\(914\) −15.3086 11.1224i −0.506364 0.367895i
\(915\) −0.215808 0.355636i −0.00713441 0.0117570i
\(916\) 1.03708 4.87908i 0.0342661 0.161209i
\(917\) 35.7826 + 44.1878i 1.18164 + 1.45921i
\(918\) 2.22180 2.74369i 0.0733303 0.0905554i
\(919\) −7.48342 35.2067i −0.246855 1.16136i −0.910563 0.413371i \(-0.864351\pi\)
0.663708 0.747992i \(-0.268982\pi\)
\(920\) 12.4576 + 0.380531i 0.410714 + 0.0125457i
\(921\) −9.18246 8.26792i −0.302572 0.272437i
\(922\) −6.72852 + 13.2055i −0.221592 + 0.434899i
\(923\) 4.65621 + 0.244021i 0.153261 + 0.00803206i
\(924\) 11.0649 + 6.38831i 0.364008 + 0.210160i
\(925\) 12.3944 + 21.9064i 0.407527 + 0.720279i
\(926\) 12.7255 + 4.13478i 0.418187 + 0.135877i
\(927\) −6.86470 + 17.8831i −0.225466 + 0.587359i
\(928\) 0.0919202 0.580361i 0.00301743 0.0190513i
\(929\) −31.0093 −1.01738 −0.508691 0.860949i \(-0.669870\pi\)
−0.508691 + 0.860949i \(0.669870\pi\)
\(930\) −8.78820 + 8.81859i −0.288176 + 0.289173i
\(931\) 58.0552 1.90268
\(932\) 4.54703 28.7088i 0.148943 0.940389i
\(933\) 8.94259 23.2962i 0.292767 0.762685i
\(934\) 12.2324 + 3.97455i 0.400256 + 0.130051i
\(935\) 25.9459 3.30090i 0.848520 0.107951i
\(936\) 1.07643 + 0.621478i 0.0351842 + 0.0203136i
\(937\) −19.4253 1.01804i −0.634598 0.0332579i −0.267675 0.963509i \(-0.586255\pi\)
−0.366923 + 0.930251i \(0.619589\pi\)
\(938\) 16.2094 31.8127i 0.529255 1.03872i
\(939\) −9.60793 8.65102i −0.313543 0.282315i
\(940\) 14.2251 + 15.1215i 0.463971 + 0.493210i
\(941\) 3.94114 + 18.5416i 0.128478 + 0.604439i 0.994527 + 0.104481i \(0.0333181\pi\)
−0.866049 + 0.499959i \(0.833349\pi\)
\(942\) −8.97424 + 11.0823i −0.292397 + 0.361080i
\(943\) −14.5449 17.9614i −0.473647 0.584905i
\(944\) 1.35714 6.38482i 0.0441710 0.207808i
\(945\) 8.37601 + 2.04954i 0.272472 + 0.0666715i
\(946\) 7.29549 + 5.30048i 0.237197 + 0.172334i
\(947\) −29.5536 45.5086i −0.960364 1.47883i −0.875951 0.482400i \(-0.839765\pi\)
−0.0844130 0.996431i \(-0.526902\pi\)
\(948\) −5.98096 + 4.84329i −0.194253 + 0.157303i
\(949\) 18.8877 1.98518i 0.613122 0.0644417i
\(950\) −36.1358 + 7.35241i −1.17240 + 0.238544i
\(951\) 0.437011 0.981543i 0.0141711 0.0318287i
\(952\) −13.5962 + 0.712545i −0.440655 + 0.0230937i
\(953\) 5.18864 + 2.64375i 0.168077 + 0.0856393i 0.536005 0.844215i \(-0.319933\pi\)
−0.367928 + 0.929854i \(0.619933\pi\)
\(954\) 7.88195 + 8.75380i 0.255188 + 0.283415i
\(955\) 1.14859 8.44013i 0.0371677 0.273116i
\(956\) −23.0537 + 13.3101i −0.745610 + 0.430478i
\(957\) 1.73459 0.883816i 0.0560712 0.0285697i
\(958\) −15.3003 5.87325i −0.494332 0.189756i
\(959\) −20.7163 + 15.0513i −0.668965 + 0.486032i
\(960\) 2.06211 + 0.864699i 0.0665543 + 0.0279080i
\(961\) −21.6520 + 22.1854i −0.698452 + 0.715657i
\(962\) 4.42434 4.42434i 0.142647 0.142647i
\(963\) −11.8335 1.87424i −0.381329 0.0603966i
\(964\) −10.8761 + 4.84233i −0.350294 + 0.155961i
\(965\) −30.9298 + 35.8963i −0.995667 + 1.15554i
\(966\) −10.7473 18.6149i −0.345789 0.598924i
\(967\) 44.1283 11.8241i 1.41907 0.380239i 0.533917 0.845537i \(-0.320719\pi\)
0.885154 + 0.465298i \(0.154053\pi\)
\(968\) 0.00121771 0.0232353i 3.91387e−5 0.000746811i
\(969\) 24.7637 8.04622i 0.795526 0.258482i
\(970\) −4.12247 1.48009i −0.132365 0.0475228i
\(971\) −20.2674 9.02365i −0.650413 0.289583i 0.0548858 0.998493i \(-0.482521\pi\)
−0.705299 + 0.708910i \(0.749187\pi\)
\(972\) 0.838671 + 0.544639i 0.0269004 + 0.0174693i
\(973\) −41.9155 33.9425i −1.34375 1.08815i
\(974\) −2.82859 + 26.9122i −0.0906338 + 0.862323i
\(975\) 3.33927 + 5.24144i 0.106942 + 0.167861i
\(976\) −0.109350 + 0.150508i −0.00350022 + 0.00481763i
\(977\) 51.9820 8.23315i 1.66305 0.263402i 0.747107 0.664704i \(-0.231442\pi\)
0.915946 + 0.401302i \(0.131442\pi\)
\(978\) 1.08183 0.702551i 0.0345932 0.0224651i
\(979\) 27.1061 + 2.84896i 0.866313 + 0.0910532i
\(980\) −8.33124 15.5049i −0.266132 0.495287i
\(981\) −17.7900 + 3.78137i −0.567989 + 0.120730i
\(982\) −8.91787 23.2318i −0.284581 0.741358i
\(983\) 0.487460 + 9.30128i 0.0155475 + 0.296665i 0.995326 + 0.0965770i \(0.0307894\pi\)
−0.979778 + 0.200088i \(0.935877\pi\)
\(984\) −1.28136 3.94362i −0.0408482 0.125718i
\(985\) −12.5157 35.8388i −0.398784 1.14192i
\(986\) −1.03725 + 1.79656i −0.0330326 + 0.0572142i
\(987\) 9.26693 34.5847i 0.294970 1.10084i
\(988\) 4.16178 + 8.16795i 0.132404 + 0.259857i
\(989\) −6.17055 13.8593i −0.196212 0.440700i
\(990\) 1.69804 + 7.21112i 0.0539674 + 0.229185i
\(991\) 7.56091i 0.240180i −0.992763 0.120090i \(-0.961682\pi\)
0.992763 0.120090i \(-0.0383184\pi\)
\(992\) 5.15681 + 2.09936i 0.163729 + 0.0666548i
\(993\) 6.35368 + 6.35368i 0.201628 + 0.201628i
\(994\) −8.50296 11.7033i −0.269698 0.371207i
\(995\) −13.4503 + 14.0506i −0.426405 + 0.445434i
\(996\) −3.37496 + 10.3871i −0.106940 + 0.329127i
\(997\) −21.1587 5.66944i −0.670101 0.179553i −0.0923008 0.995731i \(-0.529422\pi\)
−0.577800 + 0.816178i \(0.696089\pi\)
\(998\) −6.14510 22.9338i −0.194520 0.725957i
\(999\) 3.74095 3.36836i 0.118358 0.106570i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 930.2.bt.b.13.7 yes 256
5.2 odd 4 930.2.bt.a.757.5 yes 256
31.12 odd 30 930.2.bt.a.43.5 256
155.12 even 60 inner 930.2.bt.b.787.7 yes 256
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bt.a.43.5 256 31.12 odd 30
930.2.bt.a.757.5 yes 256 5.2 odd 4
930.2.bt.b.13.7 yes 256 1.1 even 1 trivial
930.2.bt.b.787.7 yes 256 155.12 even 60 inner