Properties

Label 441.2.z.a.142.40
Level $441$
Weight $2$
Character 441.142
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
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] = [441,2,Mod(4,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), 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: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 142.40
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.40

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.506556 - 1.29068i) q^{2} +(-1.61632 + 0.622499i) q^{3} +(0.0568376 + 0.0527376i) q^{4} +(-3.22413 + 1.55266i) q^{5} +(-0.0153087 + 2.40149i) q^{6} +(-0.247770 - 2.63412i) q^{7} +(2.59530 - 1.24983i) q^{8} +(2.22499 - 2.01232i) q^{9} +O(q^{10})\) \(q+(0.506556 - 1.29068i) q^{2} +(-1.61632 + 0.622499i) q^{3} +(0.0568376 + 0.0527376i) q^{4} +(-3.22413 + 1.55266i) q^{5} +(-0.0153087 + 2.40149i) q^{6} +(-0.247770 - 2.63412i) q^{7} +(2.59530 - 1.24983i) q^{8} +(2.22499 - 2.01232i) q^{9} +(0.370789 + 4.94784i) q^{10} +(2.17702 + 2.72989i) q^{11} +(-0.124697 - 0.0498596i) q^{12} +(1.48324 - 3.77923i) q^{13} +(-3.52533 - 1.01454i) q^{14} +(4.24470 - 4.51661i) q^{15} +(-0.286883 - 3.82818i) q^{16} +(3.20104 - 2.97013i) q^{17} +(-1.47018 - 3.89111i) q^{18} +(-0.138755 + 0.240330i) q^{19} +(-0.265135 - 0.0817834i) q^{20} +(2.04021 + 4.10336i) q^{21} +(4.62621 - 1.42700i) q^{22} +(0.652889 - 2.86050i) q^{23} +(-3.41682 + 3.63570i) q^{24} +(4.86680 - 6.10278i) q^{25} +(-4.12645 - 3.82879i) q^{26} +(-2.34364 + 4.63760i) q^{27} +(0.124835 - 0.162784i) q^{28} +(-5.82734 - 1.79750i) q^{29} +(-3.67934 - 7.76648i) q^{30} +(4.09788 - 7.09774i) q^{31} +(0.418882 + 0.129208i) q^{32} +(-5.21812 - 3.05720i) q^{33} +(-2.21200 - 5.63607i) q^{34} +(4.88874 + 8.10805i) q^{35} +(0.232588 + 0.00296546i) q^{36} +(3.63417 + 1.12099i) q^{37} +(0.239903 + 0.300829i) q^{38} +(-0.0448252 + 7.03177i) q^{39} +(-6.42702 + 8.05922i) q^{40} +(7.36805 + 5.02345i) q^{41} +(6.32962 - 0.554693i) q^{42} +(5.99423 - 4.08680i) q^{43} +(-0.0202316 + 0.269971i) q^{44} +(-4.04922 + 9.94261i) q^{45} +(-3.36127 - 2.29168i) q^{46} +(-0.963871 + 2.45590i) q^{47} +(2.84673 + 6.00899i) q^{48} +(-6.87722 + 1.30531i) q^{49} +(-5.41145 - 9.37290i) q^{50} +(-3.32501 + 6.79334i) q^{51} +(0.283612 - 0.136580i) q^{52} +(-9.47132 + 2.92151i) q^{53} +(4.79850 + 5.37410i) q^{54} +(-11.2576 - 5.42136i) q^{55} +(-3.93525 - 6.52667i) q^{56} +(0.0746670 - 0.474825i) q^{57} +(-5.27188 + 6.61073i) q^{58} +(1.71560 - 1.16968i) q^{59} +(0.479454 - 0.0328580i) q^{60} +(-8.47949 + 7.86782i) q^{61} +(-7.08513 - 8.88447i) q^{62} +(-5.85198 - 5.36231i) q^{63} +(5.16601 - 6.47797i) q^{64} +(1.08570 + 14.4877i) q^{65} +(-6.58914 + 5.18630i) q^{66} +(4.49705 - 7.78913i) q^{67} +0.338577 q^{68} +(0.725375 + 5.02990i) q^{69} +(12.9413 - 2.20263i) q^{70} +(-2.68814 + 11.7775i) q^{71} +(3.25946 - 8.00342i) q^{72} +(0.877586 + 0.132275i) q^{73} +(3.28776 - 4.12272i) q^{74} +(-4.06735 + 12.8936i) q^{75} +(-0.0205609 + 0.00634220i) q^{76} +(6.65148 - 6.41092i) q^{77} +(9.05309 + 3.61984i) q^{78} +(-4.01280 - 6.95037i) q^{79} +(6.86880 + 11.8971i) q^{80} +(0.901171 - 8.95477i) q^{81} +(10.2160 - 6.96516i) q^{82} +(1.83651 + 4.67936i) q^{83} +(-0.100440 + 0.340821i) q^{84} +(-5.70897 + 14.5462i) q^{85} +(-2.23835 - 9.80686i) q^{86} +(10.5378 - 0.722179i) q^{87} +(9.06192 + 4.36399i) q^{88} +(-4.14812 - 10.5692i) q^{89} +(10.7816 + 10.2628i) q^{90} +(-10.3225 - 2.97066i) q^{91} +(0.187964 - 0.128152i) q^{92} +(-2.20516 + 14.0232i) q^{93} +(2.68154 + 2.48811i) q^{94} +(0.0742122 - 0.990293i) q^{95} +(-0.757480 + 0.0519118i) q^{96} +(6.74197 - 11.6774i) q^{97} +(-1.79895 + 9.53753i) q^{98} +(10.3373 + 1.69314i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.506556 1.29068i 0.358189 0.912651i −0.632258 0.774758i \(-0.717872\pi\)
0.990447 0.137893i \(-0.0440331\pi\)
\(3\) −1.61632 + 0.622499i −0.933184 + 0.359400i
\(4\) 0.0568376 + 0.0527376i 0.0284188 + 0.0263688i
\(5\) −3.22413 + 1.55266i −1.44187 + 0.694370i −0.981163 0.193181i \(-0.938120\pi\)
−0.460710 + 0.887551i \(0.652405\pi\)
\(6\) −0.0153087 + 2.40149i −0.00624976 + 0.980405i
\(7\) −0.247770 2.63412i −0.0936483 0.995605i
\(8\) 2.59530 1.24983i 0.917577 0.441882i
\(9\) 2.22499 2.01232i 0.741664 0.670772i
\(10\) 0.370789 + 4.94784i 0.117254 + 1.56464i
\(11\) 2.17702 + 2.72989i 0.656396 + 0.823094i 0.992946 0.118572i \(-0.0378315\pi\)
−0.336550 + 0.941666i \(0.609260\pi\)
\(12\) −0.124697 0.0498596i −0.0359969 0.0143932i
\(13\) 1.48324 3.77923i 0.411377 1.04817i −0.563636 0.826023i \(-0.690598\pi\)
0.975013 0.222148i \(-0.0713068\pi\)
\(14\) −3.52533 1.01454i −0.942184 0.271147i
\(15\) 4.24470 4.51661i 1.09598 1.16618i
\(16\) −0.286883 3.82818i −0.0717207 0.957046i
\(17\) 3.20104 2.97013i 0.776367 0.720363i −0.188795 0.982017i \(-0.560458\pi\)
0.965162 + 0.261653i \(0.0842677\pi\)
\(18\) −1.47018 3.89111i −0.346525 0.917144i
\(19\) −0.138755 + 0.240330i −0.0318325 + 0.0551355i −0.881503 0.472179i \(-0.843468\pi\)
0.849670 + 0.527314i \(0.176801\pi\)
\(20\) −0.265135 0.0817834i −0.0592860 0.0182873i
\(21\) 2.04021 + 4.10336i 0.445211 + 0.895426i
\(22\) 4.62621 1.42700i 0.986312 0.304237i
\(23\) 0.652889 2.86050i 0.136137 0.596455i −0.860126 0.510082i \(-0.829615\pi\)
0.996263 0.0863729i \(-0.0275277\pi\)
\(24\) −3.41682 + 3.63570i −0.697456 + 0.742134i
\(25\) 4.86680 6.10278i 0.973360 1.22056i
\(26\) −4.12645 3.82879i −0.809264 0.750887i
\(27\) −2.34364 + 4.63760i −0.451033 + 0.892507i
\(28\) 0.124835 0.162784i 0.0235915 0.0307633i
\(29\) −5.82734 1.79750i −1.08211 0.333787i −0.298100 0.954535i \(-0.596353\pi\)
−0.784010 + 0.620748i \(0.786829\pi\)
\(30\) −3.67934 7.76648i −0.671752 1.41796i
\(31\) 4.09788 7.09774i 0.736001 1.27479i −0.218282 0.975886i \(-0.570045\pi\)
0.954283 0.298906i \(-0.0966215\pi\)
\(32\) 0.418882 + 0.129208i 0.0740486 + 0.0228410i
\(33\) −5.21812 3.05720i −0.908358 0.532190i
\(34\) −2.21200 5.63607i −0.379354 0.966579i
\(35\) 4.88874 + 8.10805i 0.826347 + 1.37051i
\(36\) 0.232588 + 0.00296546i 0.0387646 + 0.000494244i
\(37\) 3.63417 + 1.12099i 0.597453 + 0.184290i 0.578709 0.815534i \(-0.303557\pi\)
0.0187447 + 0.999824i \(0.494033\pi\)
\(38\) 0.239903 + 0.300829i 0.0389174 + 0.0488009i
\(39\) −0.0448252 + 7.03177i −0.00717778 + 1.12598i
\(40\) −6.42702 + 8.05922i −1.01620 + 1.27428i
\(41\) 7.36805 + 5.02345i 1.15070 + 0.784531i 0.979646 0.200731i \(-0.0643318\pi\)
0.171049 + 0.985262i \(0.445284\pi\)
\(42\) 6.32962 0.554693i 0.976681 0.0855909i
\(43\) 5.99423 4.08680i 0.914112 0.623231i −0.0122255 0.999925i \(-0.503892\pi\)
0.926338 + 0.376694i \(0.122939\pi\)
\(44\) −0.0202316 + 0.269971i −0.00305002 + 0.0406997i
\(45\) −4.04922 + 9.94261i −0.603622 + 1.48216i
\(46\) −3.36127 2.29168i −0.495592 0.337889i
\(47\) −0.963871 + 2.45590i −0.140595 + 0.358230i −0.983776 0.179399i \(-0.942585\pi\)
0.843181 + 0.537629i \(0.180680\pi\)
\(48\) 2.84673 + 6.00899i 0.410890 + 0.867323i
\(49\) −6.87722 + 1.30531i −0.982460 + 0.186473i
\(50\) −5.41145 9.37290i −0.765294 1.32553i
\(51\) −3.32501 + 6.79334i −0.465595 + 0.951257i
\(52\) 0.283612 0.136580i 0.0393299 0.0189403i
\(53\) −9.47132 + 2.92151i −1.30099 + 0.401301i −0.866409 0.499334i \(-0.833578\pi\)
−0.434576 + 0.900635i \(0.643102\pi\)
\(54\) 4.79850 + 5.37410i 0.652993 + 0.731323i
\(55\) −11.2576 5.42136i −1.51797 0.731016i
\(56\) −3.93525 6.52667i −0.525869 0.872163i
\(57\) 0.0746670 0.474825i 0.00988988 0.0628921i
\(58\) −5.27188 + 6.61073i −0.692231 + 0.868031i
\(59\) 1.71560 1.16968i 0.223352 0.152279i −0.446475 0.894796i \(-0.647321\pi\)
0.669827 + 0.742517i \(0.266368\pi\)
\(60\) 0.479454 0.0328580i 0.0618972 0.00424195i
\(61\) −8.47949 + 7.86782i −1.08569 + 1.00737i −0.0857491 + 0.996317i \(0.527328\pi\)
−0.999939 + 0.0110544i \(0.996481\pi\)
\(62\) −7.08513 8.88447i −0.899812 1.12833i
\(63\) −5.85198 5.36231i −0.737280 0.675588i
\(64\) 5.16601 6.47797i 0.645751 0.809746i
\(65\) 1.08570 + 14.4877i 0.134665 + 1.79698i
\(66\) −6.58914 + 5.18630i −0.811068 + 0.638389i
\(67\) 4.49705 7.78913i 0.549403 0.951593i −0.448913 0.893575i \(-0.648189\pi\)
0.998316 0.0580177i \(-0.0184780\pi\)
\(68\) 0.338577 0.0410585
\(69\) 0.725375 + 5.02990i 0.0873249 + 0.605529i
\(70\) 12.9413 2.20263i 1.54679 0.263265i
\(71\) −2.68814 + 11.7775i −0.319023 + 1.39773i 0.520246 + 0.854017i \(0.325840\pi\)
−0.839269 + 0.543716i \(0.817017\pi\)
\(72\) 3.25946 8.00342i 0.384132 0.943212i
\(73\) 0.877586 + 0.132275i 0.102714 + 0.0154816i 0.200198 0.979755i \(-0.435841\pi\)
−0.0974843 + 0.995237i \(0.531080\pi\)
\(74\) 3.28776 4.12272i 0.382194 0.479256i
\(75\) −4.06735 + 12.8936i −0.469657 + 1.48883i
\(76\) −0.0205609 + 0.00634220i −0.00235850 + 0.000727500i
\(77\) 6.65148 6.41092i 0.758007 0.730592i
\(78\) 9.05309 + 3.61984i 1.02506 + 0.409867i
\(79\) −4.01280 6.95037i −0.451475 0.781977i 0.547003 0.837131i \(-0.315769\pi\)
−0.998478 + 0.0551534i \(0.982435\pi\)
\(80\) 6.86880 + 11.8971i 0.767956 + 1.33014i
\(81\) 0.901171 8.95477i 0.100130 0.994974i
\(82\) 10.2160 6.96516i 1.12817 0.769174i
\(83\) 1.83651 + 4.67936i 0.201583 + 0.513626i 0.995539 0.0943494i \(-0.0300771\pi\)
−0.793956 + 0.607976i \(0.791982\pi\)
\(84\) −0.100440 + 0.340821i −0.0109589 + 0.0371866i
\(85\) −5.70897 + 14.5462i −0.619224 + 1.57776i
\(86\) −2.23835 9.80686i −0.241368 1.05750i
\(87\) 10.5378 0.722179i 1.12977 0.0774257i
\(88\) 9.06192 + 4.36399i 0.966004 + 0.465203i
\(89\) −4.14812 10.5692i −0.439700 1.12034i −0.963313 0.268381i \(-0.913511\pi\)
0.523613 0.851956i \(-0.324584\pi\)
\(90\) 10.7816 + 10.2628i 1.13648 + 1.08179i
\(91\) −10.3225 2.97066i −1.08209 0.311410i
\(92\) 0.187964 0.128152i 0.0195966 0.0133608i
\(93\) −2.20516 + 14.0232i −0.228665 + 1.45413i
\(94\) 2.68154 + 2.48811i 0.276580 + 0.256629i
\(95\) 0.0742122 0.990293i 0.00761401 0.101602i
\(96\) −0.757480 + 0.0519118i −0.0773100 + 0.00529823i
\(97\) 6.74197 11.6774i 0.684544 1.18566i −0.289036 0.957318i \(-0.593335\pi\)
0.973580 0.228346i \(-0.0733318\pi\)
\(98\) −1.79895 + 9.53753i −0.181721 + 0.963436i
\(99\) 10.3373 + 1.69314i 1.03893 + 0.170167i
\(100\) 0.598463 0.0902038i 0.0598463 0.00902038i
\(101\) 7.60179 3.66083i 0.756406 0.364266i −0.0156023 0.999878i \(-0.504967\pi\)
0.772008 + 0.635612i \(0.219252\pi\)
\(102\) 7.08374 + 7.73274i 0.701395 + 0.765656i
\(103\) 3.37124 1.62351i 0.332179 0.159969i −0.260358 0.965512i \(-0.583841\pi\)
0.592537 + 0.805543i \(0.298126\pi\)
\(104\) −0.873949 11.6620i −0.0856978 1.14356i
\(105\) −12.9490 10.0620i −1.26369 0.981949i
\(106\) −1.02700 + 13.7044i −0.0997512 + 1.33109i
\(107\) 0.0158526 + 0.0403919i 0.00153253 + 0.00390483i 0.931638 0.363388i \(-0.118380\pi\)
−0.930105 + 0.367293i \(0.880285\pi\)
\(108\) −0.377783 + 0.139992i −0.0363522 + 0.0134708i
\(109\) −5.54130 + 14.1190i −0.530760 + 1.35235i 0.374393 + 0.927270i \(0.377851\pi\)
−0.905154 + 0.425085i \(0.860244\pi\)
\(110\) −12.6999 + 11.7837i −1.21088 + 1.12354i
\(111\) −6.57180 + 0.450380i −0.623767 + 0.0427482i
\(112\) −10.0128 + 1.70419i −0.946123 + 0.161031i
\(113\) 2.48613 + 0.374723i 0.233875 + 0.0352510i 0.264934 0.964267i \(-0.414650\pi\)
−0.0310589 + 0.999518i \(0.509888\pi\)
\(114\) −0.575026 0.336897i −0.0538562 0.0315533i
\(115\) 2.33637 + 10.2363i 0.217868 + 0.954541i
\(116\) −0.236417 0.409485i −0.0219507 0.0380198i
\(117\) −4.30482 11.3935i −0.397980 1.05333i
\(118\) −0.640635 2.80680i −0.0589752 0.258387i
\(119\) −8.61682 7.69603i −0.789903 0.705494i
\(120\) 5.37127 17.0271i 0.490328 1.55435i
\(121\) −0.265185 + 1.16185i −0.0241077 + 0.105623i
\(122\) 5.85953 + 14.9298i 0.530497 + 1.35168i
\(123\) −15.0362 3.53291i −1.35577 0.318552i
\(124\) 0.607231 0.187306i 0.0545310 0.0168206i
\(125\) −2.23420 + 9.78865i −0.199833 + 0.875524i
\(126\) −9.88540 + 4.83674i −0.880662 + 0.430891i
\(127\) 4.16093 + 18.2302i 0.369223 + 1.61767i 0.728918 + 0.684601i \(0.240024\pi\)
−0.359695 + 0.933070i \(0.617119\pi\)
\(128\) −5.30578 9.18988i −0.468969 0.812278i
\(129\) −7.14458 + 10.3370i −0.629046 + 0.910121i
\(130\) 19.2490 + 5.93753i 1.68825 + 0.520756i
\(131\) −0.100779 0.0485325i −0.00880508 0.00424030i 0.429476 0.903078i \(-0.358698\pi\)
−0.438281 + 0.898838i \(0.644413\pi\)
\(132\) −0.135356 0.448955i −0.0117812 0.0390765i
\(133\) 0.667438 + 0.305950i 0.0578743 + 0.0265293i
\(134\) −7.77529 9.74991i −0.671683 0.842264i
\(135\) 0.355575 18.5911i 0.0306030 1.60007i
\(136\) 4.59550 11.7091i 0.394061 1.00405i
\(137\) −17.4553 8.40605i −1.49131 0.718177i −0.502118 0.864799i \(-0.667446\pi\)
−0.989193 + 0.146622i \(0.953160\pi\)
\(138\) 6.85946 + 1.61170i 0.583916 + 0.137197i
\(139\) 10.2007 + 6.95475i 0.865216 + 0.589894i 0.912541 0.408985i \(-0.134117\pi\)
−0.0473252 + 0.998880i \(0.515070\pi\)
\(140\) −0.149735 + 0.718662i −0.0126549 + 0.0607381i
\(141\) 0.0291293 4.56954i 0.00245313 0.384825i
\(142\) 13.8393 + 9.43551i 1.16137 + 0.791810i
\(143\) 13.5460 4.17837i 1.13277 0.349413i
\(144\) −8.34182 7.94037i −0.695152 0.661698i
\(145\) 21.5790 3.25251i 1.79204 0.270106i
\(146\) 0.615272 1.06568i 0.0509203 0.0881965i
\(147\) 10.3032 6.39087i 0.849797 0.527110i
\(148\) 0.147439 + 0.255372i 0.0121194 + 0.0209914i
\(149\) −11.9983 15.0454i −0.982941 1.23257i −0.972567 0.232622i \(-0.925269\pi\)
−0.0103734 0.999946i \(-0.503302\pi\)
\(150\) 14.5813 + 11.7810i 1.19055 + 0.961915i
\(151\) −1.59288 + 6.97888i −0.129627 + 0.567933i 0.867843 + 0.496839i \(0.165506\pi\)
−0.997470 + 0.0710938i \(0.977351\pi\)
\(152\) −0.0597380 + 0.797148i −0.00484539 + 0.0646573i
\(153\) 1.14544 13.0500i 0.0926037 1.05503i
\(154\) −4.90513 11.8325i −0.395266 0.953486i
\(155\) −2.19173 + 29.2466i −0.176044 + 2.34914i
\(156\) −0.373387 + 0.397305i −0.0298949 + 0.0318099i
\(157\) −11.9204 + 8.12717i −0.951350 + 0.648619i −0.936275 0.351267i \(-0.885751\pi\)
−0.0150743 + 0.999886i \(0.504798\pi\)
\(158\) −11.0034 + 1.65850i −0.875386 + 0.131943i
\(159\) 13.4901 10.6180i 1.06983 0.842061i
\(160\) −1.55115 + 0.233797i −0.122629 + 0.0184833i
\(161\) −7.69667 1.01105i −0.606582 0.0796816i
\(162\) −11.1013 5.69922i −0.872199 0.447773i
\(163\) −0.0548056 + 0.0373658i −0.00429271 + 0.00292672i −0.565465 0.824773i \(-0.691303\pi\)
0.561172 + 0.827699i \(0.310351\pi\)
\(164\) 0.153858 + 0.674094i 0.0120143 + 0.0526379i
\(165\) 21.5707 + 1.75484i 1.67927 + 0.136614i
\(166\) 6.96987 0.540967
\(167\) 8.07533 7.49281i 0.624888 0.579811i −0.302853 0.953037i \(-0.597939\pi\)
0.927740 + 0.373226i \(0.121749\pi\)
\(168\) 10.4235 + 8.09951i 0.804188 + 0.624891i
\(169\) −2.55294 2.36878i −0.196380 0.182214i
\(170\) 15.8827 + 14.7369i 1.21814 + 1.13027i
\(171\) 0.174892 + 0.813950i 0.0133743 + 0.0622443i
\(172\) 0.556226 + 0.0838376i 0.0424118 + 0.00639256i
\(173\) −17.2973 + 5.33550i −1.31509 + 0.405651i −0.871419 0.490540i \(-0.836800\pi\)
−0.443669 + 0.896191i \(0.646323\pi\)
\(174\) 4.40588 13.9668i 0.334009 1.05882i
\(175\) −17.2813 11.3077i −1.30634 0.854780i
\(176\) 9.82599 9.11718i 0.740662 0.687233i
\(177\) −2.04484 + 2.95853i −0.153699 + 0.222377i
\(178\) −15.7428 −1.17997
\(179\) 18.7082 17.3586i 1.39831 1.29745i 0.494723 0.869051i \(-0.335269\pi\)
0.903591 0.428396i \(-0.140921\pi\)
\(180\) −0.754497 + 0.351568i −0.0562369 + 0.0262044i
\(181\) −5.67782 + 7.11976i −0.422029 + 0.529208i −0.946708 0.322092i \(-0.895614\pi\)
0.524679 + 0.851300i \(0.324185\pi\)
\(182\) −9.06309 + 11.8182i −0.671801 + 0.876027i
\(183\) 8.80788 17.9954i 0.651097 1.33026i
\(184\) −1.88069 8.23984i −0.138646 0.607449i
\(185\) −13.4575 + 2.02840i −0.989418 + 0.149131i
\(186\) 16.9824 + 9.94968i 1.24521 + 0.729546i
\(187\) 15.0769 + 2.27247i 1.10253 + 0.166180i
\(188\) −0.184303 + 0.0887555i −0.0134417 + 0.00647316i
\(189\) 12.7967 + 5.02437i 0.930823 + 0.365469i
\(190\) −1.24056 0.597424i −0.0899999 0.0433417i
\(191\) 2.64183 + 1.80117i 0.191156 + 0.130328i 0.655116 0.755528i \(-0.272620\pi\)
−0.463960 + 0.885856i \(0.653572\pi\)
\(192\) −4.31740 + 13.6863i −0.311582 + 0.987724i
\(193\) −1.28123 + 17.0968i −0.0922247 + 1.23065i 0.738610 + 0.674133i \(0.235483\pi\)
−0.830834 + 0.556520i \(0.812136\pi\)
\(194\) −11.6567 14.6170i −0.836902 1.04944i
\(195\) −10.7734 22.7409i −0.771500 1.62851i
\(196\) −0.459724 0.288497i −0.0328374 0.0206069i
\(197\) 11.4903 0.818652 0.409326 0.912388i \(-0.365764\pi\)
0.409326 + 0.912388i \(0.365764\pi\)
\(198\) 7.42171 12.4845i 0.527438 0.887232i
\(199\) −2.84037 1.93653i −0.201348 0.137277i 0.458449 0.888721i \(-0.348405\pi\)
−0.659797 + 0.751444i \(0.729358\pi\)
\(200\) 5.00337 21.9212i 0.353792 1.55006i
\(201\) −2.41997 + 15.3891i −0.170691 + 1.08547i
\(202\) −0.874240 11.6659i −0.0615113 0.820811i
\(203\) −3.29099 + 15.7953i −0.230982 + 1.10861i
\(204\) −0.547250 + 0.210764i −0.0383151 + 0.0147564i
\(205\) −31.5552 4.75619i −2.20391 0.332186i
\(206\) −0.387708 5.17361i −0.0270129 0.360462i
\(207\) −4.30355 7.67840i −0.299117 0.533685i
\(208\) −14.8931 4.59392i −1.03265 0.318531i
\(209\) −0.958147 + 0.144417i −0.0662764 + 0.00998956i
\(210\) −19.5462 + 11.6161i −1.34882 + 0.801589i
\(211\) −2.96319 0.446628i −0.203994 0.0307472i 0.0462502 0.998930i \(-0.485273\pi\)
−0.250244 + 0.968183i \(0.580511\pi\)
\(212\) −0.692401 0.333443i −0.0475543 0.0229009i
\(213\) −2.98658 20.7096i −0.204637 1.41900i
\(214\) 0.0601634 0.00411268
\(215\) −12.9808 + 22.4834i −0.885281 + 1.53335i
\(216\) −0.286224 + 14.9651i −0.0194751 + 1.01825i
\(217\) −19.7117 9.03572i −1.33811 0.613385i
\(218\) 15.4162 + 14.3041i 1.04412 + 0.968798i
\(219\) −1.50080 + 0.332498i −0.101415 + 0.0224681i
\(220\) −0.353944 0.901835i −0.0238629 0.0608017i
\(221\) −6.47692 16.5029i −0.435685 1.11011i
\(222\) −2.74769 + 8.71026i −0.184413 + 0.584594i
\(223\) −2.19457 2.03627i −0.146959 0.136358i 0.603267 0.797539i \(-0.293865\pi\)
−0.750227 + 0.661181i \(0.770056\pi\)
\(224\) 0.236564 1.13540i 0.0158061 0.0758622i
\(225\) −1.45212 23.3722i −0.0968082 1.55814i
\(226\) 1.74301 3.01898i 0.115943 0.200820i
\(227\) 9.67619 0.642231 0.321116 0.947040i \(-0.395942\pi\)
0.321116 + 0.947040i \(0.395942\pi\)
\(228\) 0.0292850 0.0230502i 0.00193945 0.00152654i
\(229\) −12.1898 5.87031i −0.805526 0.387921i −0.0146463 0.999893i \(-0.504662\pi\)
−0.790879 + 0.611972i \(0.790377\pi\)
\(230\) 14.3954 + 2.16975i 0.949201 + 0.143069i
\(231\) −6.76014 + 14.5026i −0.444785 + 0.954204i
\(232\) −17.3703 + 2.61815i −1.14041 + 0.171890i
\(233\) 5.33022 + 1.64416i 0.349195 + 0.107712i 0.464391 0.885631i \(-0.346273\pi\)
−0.115196 + 0.993343i \(0.536750\pi\)
\(234\) −16.8861 0.215295i −1.10388 0.0140743i
\(235\) −0.705535 9.41471i −0.0460240 0.614148i
\(236\) 0.159196 + 0.0239950i 0.0103628 + 0.00156194i
\(237\) 10.8126 + 8.73607i 0.702351 + 0.567468i
\(238\) −14.2981 + 7.22312i −0.926805 + 0.468205i
\(239\) 1.70479 + 22.7488i 0.110274 + 1.47150i 0.728255 + 0.685306i \(0.240331\pi\)
−0.617982 + 0.786192i \(0.712049\pi\)
\(240\) −18.5081 14.9537i −1.19469 0.965260i
\(241\) −2.62614 + 11.5059i −0.169164 + 0.741157i 0.817169 + 0.576397i \(0.195542\pi\)
−0.986334 + 0.164760i \(0.947315\pi\)
\(242\) 1.36525 + 0.930814i 0.0877618 + 0.0598350i
\(243\) 4.11775 + 15.0348i 0.264154 + 0.964481i
\(244\) −0.896884 −0.0574171
\(245\) 20.1463 14.8865i 1.28710 0.951062i
\(246\) −12.1766 + 17.6174i −0.776349 + 1.12324i
\(247\) 0.702457 + 0.880854i 0.0446963 + 0.0560474i
\(248\) 1.76426 23.5424i 0.112031 1.49494i
\(249\) −5.88129 6.42012i −0.372712 0.406859i
\(250\) 11.5023 + 7.84214i 0.727470 + 0.495981i
\(251\) 21.7174 + 10.4586i 1.37079 + 0.660139i 0.967015 0.254719i \(-0.0819829\pi\)
0.403777 + 0.914857i \(0.367697\pi\)
\(252\) −0.0498169 0.613400i −0.00313817 0.0386406i
\(253\) 9.23020 4.44503i 0.580298 0.279457i
\(254\) 25.6372 + 3.86419i 1.60862 + 0.242461i
\(255\) 0.172532 27.0652i 0.0108043 1.69489i
\(256\) 1.83727 0.276924i 0.114829 0.0173077i
\(257\) 3.82342 + 16.7515i 0.238498 + 1.04493i 0.942362 + 0.334595i \(0.108599\pi\)
−0.703864 + 0.710335i \(0.748543\pi\)
\(258\) 9.72265 + 14.4577i 0.605306 + 0.900095i
\(259\) 2.05239 9.85059i 0.127530 0.612086i
\(260\) −0.702338 + 0.880704i −0.0435571 + 0.0546189i
\(261\) −16.5829 + 7.72704i −1.02646 + 0.478292i
\(262\) −0.113690 + 0.105489i −0.00702380 + 0.00651714i
\(263\) −7.77794 −0.479608 −0.239804 0.970821i \(-0.577083\pi\)
−0.239804 + 0.970821i \(0.577083\pi\)
\(264\) −17.3636 1.41258i −1.06865 0.0869383i
\(265\) 26.0006 24.1250i 1.59721 1.48199i
\(266\) 0.732980 0.706471i 0.0449419 0.0433165i
\(267\) 13.2840 + 14.5011i 0.812970 + 0.887453i
\(268\) 0.666382 0.205551i 0.0407057 0.0125561i
\(269\) −4.56065 0.687408i −0.278068 0.0419120i 0.00852776 0.999964i \(-0.497285\pi\)
−0.286596 + 0.958052i \(0.592524\pi\)
\(270\) −23.8151 9.87637i −1.44934 0.601056i
\(271\) 13.0649 + 12.1224i 0.793634 + 0.736385i 0.968717 0.248169i \(-0.0798288\pi\)
−0.175083 + 0.984554i \(0.556019\pi\)
\(272\) −12.2885 11.4021i −0.745102 0.691354i
\(273\) 18.5337 1.62419i 1.12171 0.0983003i
\(274\) −19.6917 + 18.2712i −1.18962 + 1.10380i
\(275\) 27.2550 1.64354
\(276\) −0.224036 + 0.324142i −0.0134854 + 0.0195111i
\(277\) −0.697200 3.05463i −0.0418907 0.183535i 0.949654 0.313301i \(-0.101435\pi\)
−0.991545 + 0.129765i \(0.958578\pi\)
\(278\) 14.1436 9.64297i 0.848279 0.578347i
\(279\) −5.16514 24.0386i −0.309229 1.43916i
\(280\) 22.8214 + 14.9327i 1.36384 + 0.892401i
\(281\) −12.5005 + 1.88415i −0.745717 + 0.112399i −0.510899 0.859641i \(-0.670687\pi\)
−0.234818 + 0.972039i \(0.575449\pi\)
\(282\) −5.88308 2.35233i −0.350332 0.140079i
\(283\) 12.9998 1.95940i 0.772758 0.116474i 0.249185 0.968456i \(-0.419837\pi\)
0.523572 + 0.851981i \(0.324599\pi\)
\(284\) −0.773905 + 0.527639i −0.0459228 + 0.0313096i
\(285\) 0.496505 + 1.64683i 0.0294104 + 0.0975498i
\(286\) 1.46883 19.6001i 0.0868535 1.15898i
\(287\) 11.4068 20.6530i 0.673323 1.21911i
\(288\) 1.19202 0.555436i 0.0702402 0.0327294i
\(289\) 0.154569 2.06258i 0.00909230 0.121328i
\(290\) 6.73301 29.4992i 0.395376 1.73226i
\(291\) −3.62801 + 23.0714i −0.212678 + 1.35247i
\(292\) 0.0429041 + 0.0538000i 0.00251077 + 0.00314841i
\(293\) 3.90317 + 6.76049i 0.228026 + 0.394952i 0.957223 0.289352i \(-0.0934397\pi\)
−0.729197 + 0.684304i \(0.760106\pi\)
\(294\) −3.02942 16.5356i −0.176679 0.964374i
\(295\) −3.71520 + 6.43492i −0.216308 + 0.374656i
\(296\) 10.8328 1.63278i 0.629644 0.0949035i
\(297\) −17.7623 + 3.69826i −1.03067 + 0.214595i
\(298\) −25.4967 + 7.86469i −1.47698 + 0.455589i
\(299\) −9.84209 6.71022i −0.569183 0.388062i
\(300\) −0.911157 + 0.518341i −0.0526057 + 0.0299264i
\(301\) −12.2503 14.7770i −0.706097 0.851730i
\(302\) 8.20064 + 5.59110i 0.471894 + 0.321732i
\(303\) −10.0081 + 10.6492i −0.574949 + 0.611779i
\(304\) 0.959834 + 0.462232i 0.0550502 + 0.0265108i
\(305\) 15.1229 38.5326i 0.865937 2.20637i
\(306\) −16.2632 8.08898i −0.929707 0.462416i
\(307\) 7.99274 + 10.0226i 0.456170 + 0.572019i 0.955724 0.294264i \(-0.0950744\pi\)
−0.499555 + 0.866282i \(0.666503\pi\)
\(308\) 0.716151 0.0135984i 0.0408065 0.000774840i
\(309\) −4.43838 + 4.72270i −0.252491 + 0.268665i
\(310\) 36.6379 + 17.6439i 2.08089 + 1.00211i
\(311\) 5.54253 + 1.70965i 0.314288 + 0.0969451i 0.447886 0.894091i \(-0.352177\pi\)
−0.133598 + 0.991036i \(0.542653\pi\)
\(312\) 8.67219 + 18.3056i 0.490966 + 1.03635i
\(313\) 10.6892 + 18.5143i 0.604190 + 1.04649i 0.992179 + 0.124824i \(0.0398367\pi\)
−0.387989 + 0.921664i \(0.626830\pi\)
\(314\) 4.45127 + 19.5023i 0.251200 + 1.10058i
\(315\) 27.1933 + 8.20266i 1.53217 + 0.462167i
\(316\) 0.138468 0.606667i 0.00778943 0.0341277i
\(317\) −3.61052 + 1.11370i −0.202787 + 0.0625514i −0.394485 0.918903i \(-0.629077\pi\)
0.191698 + 0.981454i \(0.438601\pi\)
\(318\) −6.87100 22.7900i −0.385306 1.27800i
\(319\) −7.77925 19.8212i −0.435555 1.10977i
\(320\) −6.59779 + 28.9068i −0.368828 + 1.61594i
\(321\) −0.0507668 0.0554180i −0.00283353 0.00309313i
\(322\) −5.20374 + 9.42181i −0.289993 + 0.525057i
\(323\) 0.269653 + 1.18143i 0.0150039 + 0.0657363i
\(324\) 0.523473 0.461442i 0.0290819 0.0256357i
\(325\) −15.8452 27.4447i −0.878933 1.52236i
\(326\) 0.0204654 + 0.0896646i 0.00113347 + 0.00496606i
\(327\) 0.167464 26.2703i 0.00926080 1.45275i
\(328\) 25.4007 + 3.82855i 1.40252 + 0.211396i
\(329\) 6.70797 + 1.93046i 0.369823 + 0.106430i
\(330\) 13.1917 26.9520i 0.726179 1.48366i
\(331\) −16.5389 + 15.3459i −0.909063 + 0.843487i −0.988167 0.153379i \(-0.950984\pi\)
0.0791047 + 0.996866i \(0.474794\pi\)
\(332\) −0.142395 + 0.362817i −0.00781495 + 0.0199122i
\(333\) 10.3418 4.81889i 0.566726 0.264074i
\(334\) −5.58024 14.2182i −0.305337 0.777987i
\(335\) −2.40523 + 32.0955i −0.131412 + 1.75357i
\(336\) 15.1231 8.98750i 0.825032 0.490308i
\(337\) −0.372452 4.97002i −0.0202887 0.270734i −0.998118 0.0613288i \(-0.980466\pi\)
0.977829 0.209406i \(-0.0671529\pi\)
\(338\) −4.35056 + 2.09512i −0.236639 + 0.113959i
\(339\) −4.25164 + 0.941936i −0.230918 + 0.0511590i
\(340\) −1.09162 + 0.525695i −0.0592012 + 0.0285098i
\(341\) 28.2972 4.26512i 1.53238 0.230969i
\(342\) 1.13915 + 0.186581i 0.0615979 + 0.0100891i
\(343\) 5.14233 + 17.7920i 0.277660 + 0.960680i
\(344\) 10.4490 18.0982i 0.563374 0.975792i
\(345\) −10.1484 15.0908i −0.546373 0.812461i
\(346\) −1.87559 + 25.0281i −0.100833 + 1.34552i
\(347\) 3.95819 + 3.67266i 0.212487 + 0.197159i 0.779235 0.626732i \(-0.215608\pi\)
−0.566748 + 0.823891i \(0.691799\pi\)
\(348\) 0.637029 + 0.514691i 0.0341484 + 0.0275903i
\(349\) 9.49616 6.47437i 0.508318 0.346565i −0.281847 0.959459i \(-0.590947\pi\)
0.790165 + 0.612894i \(0.209995\pi\)
\(350\) −23.3486 + 16.5767i −1.24803 + 0.886064i
\(351\) 14.0504 + 15.7358i 0.749956 + 0.839917i
\(352\) 0.559190 + 1.42479i 0.0298049 + 0.0759417i
\(353\) −29.5293 14.2205i −1.57168 0.756883i −0.573623 0.819119i \(-0.694463\pi\)
−0.998061 + 0.0622359i \(0.980177\pi\)
\(354\) 2.78270 + 4.13790i 0.147899 + 0.219927i
\(355\) −9.61954 42.1459i −0.510552 2.23687i
\(356\) 0.321627 0.819493i 0.0170462 0.0434330i
\(357\) 18.7183 + 7.07531i 0.990679 + 0.374465i
\(358\) −12.9278 32.9395i −0.683255 1.74091i
\(359\) −6.14906 + 4.19236i −0.324535 + 0.221264i −0.714617 0.699516i \(-0.753399\pi\)
0.390082 + 0.920780i \(0.372447\pi\)
\(360\) 1.91765 + 30.8649i 0.101069 + 1.62672i
\(361\) 9.46149 + 16.3878i 0.497973 + 0.862515i
\(362\) 6.31323 + 10.9348i 0.331816 + 0.574722i
\(363\) −0.294627 2.04300i −0.0154639 0.107230i
\(364\) −0.430040 0.713228i −0.0225402 0.0373833i
\(365\) −3.03483 + 0.936121i −0.158850 + 0.0489988i
\(366\) −18.7647 20.4839i −0.980846 1.07071i
\(367\) −10.0724 + 12.6304i −0.525775 + 0.659301i −0.971824 0.235708i \(-0.924259\pi\)
0.446049 + 0.895008i \(0.352831\pi\)
\(368\) −11.1378 1.67875i −0.580598 0.0875111i
\(369\) 26.5026 3.64971i 1.37967 0.189996i
\(370\) −4.19898 + 18.3969i −0.218294 + 0.956410i
\(371\) 10.0423 + 24.2248i 0.521372 + 1.25769i
\(372\) −0.864883 + 0.680747i −0.0448421 + 0.0352951i
\(373\) −3.27251 −0.169444 −0.0847220 0.996405i \(-0.527000\pi\)
−0.0847220 + 0.996405i \(0.527000\pi\)
\(374\) 10.5703 18.3084i 0.546579 0.946702i
\(375\) −2.48224 17.2124i −0.128182 0.888844i
\(376\) 0.567929 + 7.57848i 0.0292887 + 0.390830i
\(377\) −15.4365 + 19.3568i −0.795021 + 0.996925i
\(378\) 12.9671 13.9714i 0.666957 0.718610i
\(379\) 3.20867 + 4.02355i 0.164818 + 0.206676i 0.857381 0.514682i \(-0.172090\pi\)
−0.692563 + 0.721358i \(0.743518\pi\)
\(380\) 0.0564437 0.0523721i 0.00289550 0.00268663i
\(381\) −18.0737 26.8757i −0.925943 1.37689i
\(382\) 3.66297 2.49737i 0.187414 0.127777i
\(383\) 14.7587 18.5068i 0.754134 0.945654i −0.245585 0.969375i \(-0.578980\pi\)
0.999719 + 0.0237213i \(0.00755142\pi\)
\(384\) 14.2965 + 11.5510i 0.729567 + 0.589457i
\(385\) −11.4913 + 30.9971i −0.585648 + 1.57976i
\(386\) 21.4175 + 10.3141i 1.09012 + 0.524976i
\(387\) 5.11319 21.1554i 0.259918 1.07539i
\(388\) 0.999038 0.308162i 0.0507185 0.0156446i
\(389\) 10.5535 5.08229i 0.535083 0.257683i −0.146771 0.989170i \(-0.546888\pi\)
0.681854 + 0.731488i \(0.261174\pi\)
\(390\) −34.8087 + 2.38552i −1.76261 + 0.120795i
\(391\) −6.40613 11.0957i −0.323972 0.561135i
\(392\) −16.2170 + 11.9830i −0.819083 + 0.605235i
\(393\) 0.193102 + 0.0157095i 0.00974072 + 0.000792438i
\(394\) 5.82050 14.8304i 0.293232 0.747144i
\(395\) 23.7293 + 16.1784i 1.19395 + 0.814022i
\(396\) 0.498253 + 0.641396i 0.0250381 + 0.0322314i
\(397\) 0.108205 1.44390i 0.00543067 0.0724672i −0.993830 0.110914i \(-0.964622\pi\)
0.999261 + 0.0384471i \(0.0122411\pi\)
\(398\) −3.93825 + 2.68505i −0.197407 + 0.134590i
\(399\) −1.26925 0.0790346i −0.0635419 0.00395668i
\(400\) −24.7587 16.8802i −1.23794 0.844011i
\(401\) −5.98272 + 7.50210i −0.298763 + 0.374637i −0.908442 0.418012i \(-0.862727\pi\)
0.609679 + 0.792649i \(0.291299\pi\)
\(402\) 18.6367 + 10.9189i 0.929513 + 0.544584i
\(403\) −20.7459 26.0145i −1.03343 1.29587i
\(404\) 0.625131 + 0.192827i 0.0311014 + 0.00959352i
\(405\) 10.9982 + 30.2705i 0.546505 + 1.50415i
\(406\) 18.7197 + 12.2488i 0.929042 + 0.607900i
\(407\) 4.85146 + 12.3613i 0.240478 + 0.612727i
\(408\) −0.138881 + 21.7864i −0.00687565 + 1.07859i
\(409\) 1.03042 + 0.317841i 0.0509507 + 0.0157162i 0.320126 0.947375i \(-0.396275\pi\)
−0.269175 + 0.963091i \(0.586751\pi\)
\(410\) −22.1232 + 38.3186i −1.09259 + 1.89242i
\(411\) 33.4462 + 2.72095i 1.64978 + 0.134215i
\(412\) 0.277233 + 0.0855151i 0.0136583 + 0.00421303i
\(413\) −3.50615 4.22929i −0.172526 0.208110i
\(414\) −12.0904 + 1.66498i −0.594209 + 0.0818293i
\(415\) −13.1866 12.2354i −0.647304 0.600611i
\(416\) 1.10961 1.39141i 0.0544031 0.0682194i
\(417\) −20.8170 4.89116i −1.01941 0.239521i
\(418\) −0.298958 + 1.30982i −0.0146225 + 0.0640654i
\(419\) −33.6190 + 10.3701i −1.64240 + 0.506612i −0.971919 0.235317i \(-0.924387\pi\)
−0.670478 + 0.741929i \(0.733911\pi\)
\(420\) −0.205346 1.25480i −0.0100199 0.0612279i
\(421\) 17.7184 + 5.46539i 0.863540 + 0.266367i 0.694720 0.719280i \(-0.255528\pi\)
0.168820 + 0.985647i \(0.446004\pi\)
\(422\) −2.07748 + 3.59829i −0.101130 + 0.175162i
\(423\) 2.79745 + 7.40398i 0.136017 + 0.359994i
\(424\) −20.9295 + 19.4197i −1.01643 + 0.943106i
\(425\) −2.54722 33.9903i −0.123558 1.64877i
\(426\) −28.2424 6.63584i −1.36835 0.321507i
\(427\) 22.8258 + 20.3866i 1.10462 + 0.986578i
\(428\) −0.00122914 + 0.00313181i −5.94129e−5 + 0.000151382i
\(429\) −19.2936 + 15.1859i −0.931503 + 0.733184i
\(430\) 22.4434 + 28.1432i 1.08232 + 1.35718i
\(431\) −0.518506 6.91898i −0.0249755 0.333276i −0.995670 0.0929585i \(-0.970368\pi\)
0.970694 0.240317i \(-0.0772514\pi\)
\(432\) 18.4259 + 7.64142i 0.886518 + 0.367648i
\(433\) −21.1589 + 10.1896i −1.01683 + 0.489680i −0.866617 0.498974i \(-0.833710\pi\)
−0.150214 + 0.988654i \(0.547996\pi\)
\(434\) −21.6473 + 20.8644i −1.03910 + 1.00152i
\(435\) −32.8539 + 18.6900i −1.57522 + 0.896117i
\(436\) −1.05956 + 0.510255i −0.0507435 + 0.0244368i
\(437\) 0.596872 + 0.553816i 0.0285522 + 0.0264926i
\(438\) −0.331092 + 2.10549i −0.0158202 + 0.100604i
\(439\) 0.384300 0.979180i 0.0183416 0.0467337i −0.921410 0.388593i \(-0.872961\pi\)
0.939751 + 0.341859i \(0.111057\pi\)
\(440\) −35.9926 −1.71588
\(441\) −12.6750 + 16.7435i −0.603574 + 0.797307i
\(442\) −24.5810 −1.16920
\(443\) −3.79339 + 9.66539i −0.180229 + 0.459217i −0.992227 0.124444i \(-0.960285\pi\)
0.811997 + 0.583661i \(0.198380\pi\)
\(444\) −0.397277 0.320982i −0.0188539 0.0152331i
\(445\) 29.7845 + 27.6360i 1.41192 + 1.31007i
\(446\) −3.73985 + 1.80102i −0.177087 + 0.0852806i
\(447\) 28.7589 + 16.8493i 1.36025 + 0.796944i
\(448\) −18.3437 12.0029i −0.866661 0.567082i
\(449\) 1.28771 0.620130i 0.0607710 0.0292658i −0.403251 0.915089i \(-0.632120\pi\)
0.464022 + 0.885823i \(0.346406\pi\)
\(450\) −30.9017 9.96508i −1.45672 0.469758i
\(451\) 2.32689 + 31.0501i 0.109569 + 1.46209i
\(452\) 0.121543 + 0.152411i 0.00571692 + 0.00716879i
\(453\) −1.76973 12.2717i −0.0831492 0.576574i
\(454\) 4.90153 12.4889i 0.230040 0.586133i
\(455\) 37.8934 6.44949i 1.77647 0.302357i
\(456\) −0.399668 1.32563i −0.0187162 0.0620785i
\(457\) −0.688646 9.18934i −0.0322135 0.429859i −0.989873 0.141956i \(-0.954661\pi\)
0.957659 0.287903i \(-0.0929582\pi\)
\(458\) −13.7515 + 12.7596i −0.642567 + 0.596215i
\(459\) 6.27222 + 21.8061i 0.292762 + 1.01782i
\(460\) −0.407045 + 0.705022i −0.0189786 + 0.0328718i
\(461\) −3.28294 1.01265i −0.152902 0.0471639i 0.217360 0.976092i \(-0.430256\pi\)
−0.370261 + 0.928928i \(0.620732\pi\)
\(462\) 15.2939 + 16.0716i 0.711539 + 0.747719i
\(463\) 27.8659 8.59549i 1.29504 0.399466i 0.430753 0.902470i \(-0.358248\pi\)
0.864284 + 0.503003i \(0.167772\pi\)
\(464\) −5.20938 + 22.8238i −0.241840 + 1.05957i
\(465\) −14.6634 48.6363i −0.680001 2.25545i
\(466\) 4.82214 6.04678i 0.223381 0.280112i
\(467\) 7.01245 + 6.50661i 0.324498 + 0.301090i 0.825552 0.564326i \(-0.190864\pi\)
−0.501054 + 0.865416i \(0.667054\pi\)
\(468\) 0.356191 0.874606i 0.0164649 0.0404287i
\(469\) −21.6318 9.91589i −0.998862 0.457873i
\(470\) −12.5088 3.85846i −0.576988 0.177977i
\(471\) 14.2080 20.5565i 0.654670 0.947196i
\(472\) 2.99060 5.17987i 0.137653 0.238423i
\(473\) 24.2061 + 7.46659i 1.11300 + 0.343314i
\(474\) 16.7527 9.53029i 0.769476 0.437741i
\(475\) 0.791389 + 2.01643i 0.0363114 + 0.0925200i
\(476\) −0.0838893 0.891855i −0.00384506 0.0408781i
\(477\) −15.1946 + 25.5596i −0.695712 + 1.17029i
\(478\) 30.2251 + 9.32321i 1.38246 + 0.426434i
\(479\) −12.1820 15.2757i −0.556610 0.697966i 0.421317 0.906913i \(-0.361568\pi\)
−0.977927 + 0.208947i \(0.932996\pi\)
\(480\) 2.36161 1.34348i 0.107792 0.0613211i
\(481\) 9.62683 12.0717i 0.438946 0.550421i
\(482\) 13.5201 + 9.21787i 0.615825 + 0.419863i
\(483\) 13.0697 3.15699i 0.594690 0.143648i
\(484\) −0.0763458 + 0.0520517i −0.00347026 + 0.00236599i
\(485\) −3.60591 + 48.1175i −0.163736 + 2.18490i
\(486\) 21.4910 + 2.30124i 0.974852 + 0.104386i
\(487\) 5.14135 + 3.50531i 0.232977 + 0.158841i 0.674182 0.738566i \(-0.264496\pi\)
−0.441205 + 0.897406i \(0.645449\pi\)
\(488\) −12.1734 + 31.0173i −0.551063 + 1.40409i
\(489\) 0.0653233 0.0945116i 0.00295402 0.00427396i
\(490\) −9.00848 33.5434i −0.406962 1.51534i
\(491\) −15.9353 27.6007i −0.719149 1.24560i −0.961337 0.275373i \(-0.911199\pi\)
0.242189 0.970229i \(-0.422135\pi\)
\(492\) −0.668306 0.993777i −0.0301296 0.0448029i
\(493\) −23.9924 + 11.5541i −1.08056 + 0.520371i
\(494\) 1.49274 0.460449i 0.0671614 0.0207166i
\(495\) −35.9575 + 10.5913i −1.61617 + 0.476044i
\(496\) −28.3470 13.6512i −1.27282 0.612958i
\(497\) 31.6895 + 4.16278i 1.42147 + 0.186726i
\(498\) −11.2656 + 4.33873i −0.504821 + 0.194423i
\(499\) −11.9518 + 14.9870i −0.535034 + 0.670912i −0.973725 0.227726i \(-0.926871\pi\)
0.438691 + 0.898638i \(0.355442\pi\)
\(500\) −0.643216 + 0.438537i −0.0287655 + 0.0196120i
\(501\) −8.38806 + 17.1377i −0.374751 + 0.765655i
\(502\) 24.4998 22.7325i 1.09348 1.01460i
\(503\) 1.51252 + 1.89664i 0.0674400 + 0.0845670i 0.814407 0.580294i \(-0.197062\pi\)
−0.746967 + 0.664861i \(0.768491\pi\)
\(504\) −21.8896 6.60283i −0.975041 0.294113i
\(505\) −18.8251 + 23.6060i −0.837707 + 1.05045i
\(506\) −1.06151 14.1649i −0.0471901 0.629708i
\(507\) 5.60093 + 2.23951i 0.248746 + 0.0994602i
\(508\) −0.724921 + 1.25560i −0.0321632 + 0.0557083i
\(509\) 5.11117 0.226549 0.113274 0.993564i \(-0.463866\pi\)
0.113274 + 0.993564i \(0.463866\pi\)
\(510\) −34.8452 13.9327i −1.54297 0.616951i
\(511\) 0.130989 2.34445i 0.00579460 0.103712i
\(512\) 5.29585 23.2026i 0.234046 1.02542i
\(513\) −0.789365 1.20674i −0.0348513 0.0532787i
\(514\) 23.5577 + 3.55075i 1.03908 + 0.156617i
\(515\) −8.34857 + 10.4688i −0.367882 + 0.461309i
\(516\) −0.951229 + 0.210741i −0.0418755 + 0.00927737i
\(517\) −8.80272 + 2.71528i −0.387143 + 0.119418i
\(518\) −11.6744 7.63887i −0.512942 0.335633i
\(519\) 24.6366 19.3914i 1.08143 0.851189i
\(520\) 20.9249 + 36.2430i 0.917617 + 1.58936i
\(521\) −5.42123 9.38984i −0.237508 0.411377i 0.722490 0.691381i \(-0.242997\pi\)
−0.959999 + 0.280004i \(0.909664\pi\)
\(522\) 1.57299 + 25.3175i 0.0688477 + 1.10812i
\(523\) 31.6175 21.5564i 1.38253 0.942596i 0.382710 0.923868i \(-0.374991\pi\)
0.999825 0.0187277i \(-0.00596157\pi\)
\(524\) −0.00316854 0.00807330i −0.000138418 0.000352684i
\(525\) 34.9712 + 7.51924i 1.52627 + 0.328167i
\(526\) −3.93996 + 10.0389i −0.171791 + 0.437715i
\(527\) −7.96374 34.8914i −0.346906 1.51989i
\(528\) −10.2065 + 20.8530i −0.444182 + 0.907509i
\(529\) 12.9661 + 6.24415i 0.563744 + 0.271485i
\(530\) −17.9670 45.7793i −0.780438 1.98852i
\(531\) 1.46344 6.05485i 0.0635077 0.262758i
\(532\) 0.0218005 + 0.0525886i 0.000945173 + 0.00228000i
\(533\) 29.9134 20.3946i 1.29569 0.883388i
\(534\) 25.4455 9.79988i 1.10113 0.424082i
\(535\) −0.113826 0.105615i −0.00492111 0.00456613i
\(536\) 1.93612 25.8357i 0.0836275 1.11593i
\(537\) −19.4327 + 39.7030i −0.838583 + 1.71331i
\(538\) −3.19745 + 5.53815i −0.137852 + 0.238767i
\(539\) −18.5352 15.9324i −0.798368 0.686257i
\(540\) 1.00066 1.03792i 0.0430615 0.0446650i
\(541\) −7.21358 + 1.08727i −0.310136 + 0.0467455i −0.302266 0.953224i \(-0.597743\pi\)
−0.00786982 + 0.999969i \(0.502505\pi\)
\(542\) 22.2643 10.7219i 0.956334 0.460546i
\(543\) 4.74514 15.0423i 0.203634 0.645525i
\(544\) 1.72462 0.830535i 0.0739427 0.0356089i
\(545\) −4.05612 54.1252i −0.173745 2.31847i
\(546\) 7.29203 24.7439i 0.312070 1.05894i
\(547\) 1.31477 17.5444i 0.0562156 0.750145i −0.895871 0.444315i \(-0.853447\pi\)
0.952086 0.305830i \(-0.0989339\pi\)
\(548\) −0.548805 1.39833i −0.0234438 0.0597338i
\(549\) −3.03426 + 34.5692i −0.129499 + 1.47538i
\(550\) 13.8062 35.1777i 0.588699 1.49998i
\(551\) 1.24056 1.15107i 0.0528498 0.0490374i
\(552\) 8.16909 + 12.1475i 0.347700 + 0.517032i
\(553\) −17.3139 + 12.2923i −0.736261 + 0.522721i
\(554\) −4.29574 0.647479i −0.182508 0.0275087i
\(555\) 20.4890 11.6558i 0.869711 0.494763i
\(556\) 0.213009 + 0.933254i 0.00903360 + 0.0395788i
\(557\) −3.87397 6.70991i −0.164145 0.284308i 0.772206 0.635372i \(-0.219153\pi\)
−0.936351 + 0.351064i \(0.885820\pi\)
\(558\) −33.6427 5.51035i −1.42421 0.233272i
\(559\) −6.55409 28.7153i −0.277208 1.21453i
\(560\) 29.6366 21.0410i 1.25237 0.889146i
\(561\) −25.7837 + 5.71229i −1.08859 + 0.241173i
\(562\) −3.90037 + 17.0886i −0.164527 + 0.720840i
\(563\) −7.20372 18.3548i −0.303601 0.773562i −0.998515 0.0544697i \(-0.982653\pi\)
0.694915 0.719092i \(-0.255442\pi\)
\(564\) 0.242642 0.258185i 0.0102171 0.0108716i
\(565\) −8.59740 + 2.65195i −0.361695 + 0.111568i
\(566\) 4.05616 17.7712i 0.170493 0.746978i
\(567\) −23.8113 0.155072i −0.999979 0.00651241i
\(568\) 7.74336 + 33.9259i 0.324904 + 1.42350i
\(569\) 18.1550 + 31.4454i 0.761097 + 1.31826i 0.942286 + 0.334810i \(0.108672\pi\)
−0.181189 + 0.983448i \(0.557995\pi\)
\(570\) 2.37704 + 0.193380i 0.0995634 + 0.00809980i
\(571\) −3.39291 1.04657i −0.141989 0.0437977i 0.222946 0.974831i \(-0.428433\pi\)
−0.364935 + 0.931033i \(0.618909\pi\)
\(572\) 0.990277 + 0.476892i 0.0414056 + 0.0199399i
\(573\) −5.39126 1.26673i −0.225223 0.0529185i
\(574\) −20.8783 25.1845i −0.871445 1.05118i
\(575\) −14.2795 17.9059i −0.595495 0.746728i
\(576\) −1.54140 24.8090i −0.0642249 1.03371i
\(577\) 17.0392 43.4153i 0.709353 1.80740i 0.131403 0.991329i \(-0.458052\pi\)
0.577950 0.816072i \(-0.303853\pi\)
\(578\) −2.58384 1.24431i −0.107474 0.0517566i
\(579\) −8.57185 28.4315i −0.356234 1.18157i
\(580\) 1.39803 + 0.953159i 0.0580500 + 0.0395778i
\(581\) 11.8710 5.99701i 0.492491 0.248798i
\(582\) 27.9401 + 16.3696i 1.15815 + 0.678540i
\(583\) −28.5946 19.4955i −1.18427 0.807421i
\(584\) 2.44292 0.753541i 0.101089 0.0311818i
\(585\) 31.5695 + 30.0502i 1.30524 + 1.24242i
\(586\) 10.7028 1.61319i 0.442130 0.0666403i
\(587\) −22.7701 + 39.4389i −0.939822 + 1.62782i −0.174021 + 0.984742i \(0.555676\pi\)
−0.765801 + 0.643078i \(0.777657\pi\)
\(588\) 0.922651 + 0.180127i 0.0380495 + 0.00742830i
\(589\) 1.13720 + 1.96969i 0.0468575 + 0.0811596i
\(590\) 6.42349 + 8.05480i 0.264451 + 0.331611i
\(591\) −18.5721 + 7.15271i −0.763953 + 0.294223i
\(592\) 3.24878 14.2338i 0.133524 0.585008i
\(593\) 0.512291 6.83605i 0.0210373 0.280723i −0.976757 0.214348i \(-0.931237\pi\)
0.997795 0.0663754i \(-0.0211435\pi\)
\(594\) −4.22432 + 24.7989i −0.173326 + 1.01751i
\(595\) 39.7310 + 11.4340i 1.62881 + 0.468749i
\(596\) 0.111503 1.48791i 0.00456735 0.0609471i
\(597\) 5.79643 + 1.36193i 0.237232 + 0.0557400i
\(598\) −13.6464 + 9.30393i −0.558041 + 0.380466i
\(599\) 8.16187 1.23020i 0.333485 0.0502648i 0.0198345 0.999803i \(-0.493686\pi\)
0.313651 + 0.949538i \(0.398448\pi\)
\(600\) 5.55886 + 38.5463i 0.226940 + 1.57365i
\(601\) −28.4821 + 4.29299i −1.16181 + 0.175115i −0.701518 0.712652i \(-0.747494\pi\)
−0.460293 + 0.887767i \(0.652256\pi\)
\(602\) −25.2779 + 8.32594i −1.03025 + 0.339340i
\(603\) −5.66828 26.3802i −0.230830 1.07429i
\(604\) −0.458585 + 0.312658i −0.0186596 + 0.0127219i
\(605\) −0.948968 4.15770i −0.0385810 0.169035i
\(606\) 8.67507 + 18.3117i 0.352401 + 0.743861i
\(607\) −10.9597 −0.444841 −0.222420 0.974951i \(-0.571396\pi\)
−0.222420 + 0.974951i \(0.571396\pi\)
\(608\) −0.0891744 + 0.0827418i −0.00361650 + 0.00335562i
\(609\) −4.51326 27.5789i −0.182887 1.11755i
\(610\) −42.0728 39.0379i −1.70348 1.58060i
\(611\) 7.85179 + 7.28539i 0.317649 + 0.294735i
\(612\) 0.753331 0.681324i 0.0304516 0.0275409i
\(613\) 42.1840 + 6.35821i 1.70379 + 0.256806i 0.927570 0.373651i \(-0.121894\pi\)
0.776225 + 0.630456i \(0.217132\pi\)
\(614\) 16.9847 5.23910i 0.685449 0.211433i
\(615\) 53.9641 11.9556i 2.17604 0.482095i
\(616\) 9.25002 24.9515i 0.372694 1.00532i
\(617\) −22.9602 + 21.3040i −0.924343 + 0.857665i −0.990128 0.140169i \(-0.955235\pi\)
0.0657845 + 0.997834i \(0.479045\pi\)
\(618\) 3.84722 + 8.12086i 0.154758 + 0.326669i
\(619\) 13.7569 0.552938 0.276469 0.961023i \(-0.410836\pi\)
0.276469 + 0.961023i \(0.410836\pi\)
\(620\) −1.66697 + 1.54672i −0.0669471 + 0.0621178i
\(621\) 11.7357 + 9.73181i 0.470938 + 0.390524i
\(622\) 5.01422 6.28763i 0.201052 0.252111i
\(623\) −26.8129 + 13.5454i −1.07424 + 0.542686i
\(624\) 26.9318 1.84569i 1.07813 0.0738869i
\(625\) 0.689611 + 3.02138i 0.0275844 + 0.120855i
\(626\) 29.3108 4.41789i 1.17149 0.176574i
\(627\) 1.45877 0.829870i 0.0582578 0.0331418i
\(628\) −1.10613 0.166723i −0.0441395 0.00665296i
\(629\) 14.9626 7.20562i 0.596599 0.287307i
\(630\) 24.3620 30.9429i 0.970605 1.23280i
\(631\) −27.1660 13.0825i −1.08146 0.520805i −0.193679 0.981065i \(-0.562042\pi\)
−0.887784 + 0.460260i \(0.847756\pi\)
\(632\) −19.1012 13.0230i −0.759804 0.518026i
\(633\) 5.06749 1.12268i 0.201415 0.0446227i
\(634\) −0.391499 + 5.22419i −0.0155484 + 0.207479i
\(635\) −41.7207 52.3161i −1.65563 2.07610i
\(636\) 1.32671 + 0.107932i 0.0526075 + 0.00427978i
\(637\) −5.26748 + 27.9267i −0.208705 + 1.10650i
\(638\) −29.5236 −1.16885
\(639\) 17.7190 + 31.6142i 0.700952 + 1.25064i
\(640\) 31.3752 + 21.3913i 1.24022 + 0.845564i
\(641\) 5.09104 22.3053i 0.201084 0.881007i −0.769194 0.639015i \(-0.779342\pi\)
0.970278 0.241992i \(-0.0778008\pi\)
\(642\) −0.0972434 + 0.0374516i −0.00383789 + 0.00147810i
\(643\) 0.493200 + 6.58129i 0.0194499 + 0.259541i 0.998449 + 0.0556758i \(0.0177313\pi\)
−0.978999 + 0.203865i \(0.934650\pi\)
\(644\) −0.384140 0.463369i −0.0151372 0.0182593i
\(645\) 6.98525 44.4209i 0.275044 1.74907i
\(646\) 1.66144 + 0.250422i 0.0653686 + 0.00985273i
\(647\) 1.82884 + 24.4042i 0.0718992 + 0.959429i 0.910186 + 0.414199i \(0.135938\pi\)
−0.838287 + 0.545229i \(0.816443\pi\)
\(648\) −8.85313 24.3666i −0.347784 0.957211i
\(649\) 6.92798 + 2.13700i 0.271947 + 0.0838846i
\(650\) −43.4489 + 6.54886i −1.70421 + 0.256868i
\(651\) 37.4851 + 2.33415i 1.46916 + 0.0914827i
\(652\) −0.00508560 0.000766532i −0.000199168 3.00197e-5i
\(653\) 19.1088 + 9.20232i 0.747786 + 0.360115i 0.768652 0.639668i \(-0.220928\pi\)
−0.0208660 + 0.999782i \(0.506642\pi\)
\(654\) −33.8218 13.5235i −1.32254 0.528812i
\(655\) 0.400278 0.0156401
\(656\) 17.1169 29.6474i 0.668303 1.15754i
\(657\) 2.21880 1.47167i 0.0865637 0.0574153i
\(658\) 5.88958 7.67999i 0.229600 0.299397i
\(659\) 25.4095 + 23.5766i 0.989815 + 0.918414i 0.996668 0.0815621i \(-0.0259909\pi\)
−0.00685295 + 0.999977i \(0.502181\pi\)
\(660\) 1.13348 + 1.23733i 0.0441206 + 0.0481628i
\(661\) 9.67274 + 24.6458i 0.376226 + 0.958609i 0.986106 + 0.166115i \(0.0531223\pi\)
−0.609880 + 0.792494i \(0.708782\pi\)
\(662\) 11.4288 + 29.1201i 0.444193 + 1.13179i
\(663\) 20.7418 + 22.6421i 0.805545 + 0.879348i
\(664\) 10.6147 + 9.84900i 0.411930 + 0.382215i
\(665\) −2.62694 + 0.0498808i −0.101868 + 0.00193430i
\(666\) −0.980978 15.7890i −0.0380121 0.611812i
\(667\) −8.94634 + 15.4955i −0.346404 + 0.599989i
\(668\) 0.854135 0.0330475
\(669\) 4.81471 + 1.92514i 0.186147 + 0.0744303i
\(670\) 40.2068 + 19.3626i 1.55332 + 0.748041i
\(671\) −39.9383 6.01973i −1.54180 0.232389i
\(672\) 0.324423 + 1.98243i 0.0125149 + 0.0764741i
\(673\) 43.1566 6.50482i 1.66357 0.250742i 0.751187 0.660089i \(-0.229482\pi\)
0.912379 + 0.409347i \(0.134243\pi\)
\(674\) −6.60340 2.03688i −0.254353 0.0784576i
\(675\) 16.8962 + 36.8730i 0.650336 + 1.41924i
\(676\) −0.0201791 0.269272i −0.000776120 0.0103566i
\(677\) 4.23105 + 0.637729i 0.162613 + 0.0245099i 0.229844 0.973228i \(-0.426178\pi\)
−0.0672313 + 0.997737i \(0.521417\pi\)
\(678\) −0.937953 + 5.96467i −0.0360219 + 0.229072i
\(679\) −32.4303 14.8659i −1.24456 0.570500i
\(680\) 3.36382 + 44.8870i 0.128996 + 1.72134i
\(681\) −15.6398 + 6.02341i −0.599320 + 0.230818i
\(682\) 8.82921 38.6833i 0.338088 1.48126i
\(683\) −4.04835 2.76012i −0.154906 0.105613i 0.483387 0.875407i \(-0.339407\pi\)
−0.638293 + 0.769794i \(0.720359\pi\)
\(684\) −0.0329853 + 0.0554864i −0.00126123 + 0.00212158i
\(685\) 69.3300 2.64896
\(686\) 25.5688 + 2.37554i 0.976220 + 0.0906986i
\(687\) 23.3569 + 1.90016i 0.891122 + 0.0724956i
\(688\) −17.3647 21.7746i −0.662021 0.830149i
\(689\) −3.00715 + 40.1276i −0.114563 + 1.52874i
\(690\) −24.6182 + 5.45407i −0.937198 + 0.207633i
\(691\) −13.6241 9.28875i −0.518285 0.353361i 0.275753 0.961228i \(-0.411073\pi\)
−0.794038 + 0.607868i \(0.792025\pi\)
\(692\) −1.26452 0.608960i −0.0480697 0.0231492i
\(693\) 1.89869 27.6491i 0.0721251 1.05030i
\(694\) 6.74529 3.24836i 0.256048 0.123306i
\(695\) −43.6868 6.58473i −1.65714 0.249773i
\(696\) 26.4461 15.0447i 1.00244 0.570269i
\(697\) 38.5058 5.80381i 1.45851 0.219835i
\(698\) −3.54603 15.5362i −0.134219 0.588053i
\(699\) −9.63884 + 0.660571i −0.364574 + 0.0249851i
\(700\) −0.385889 1.55408i −0.0145852 0.0587386i
\(701\) −23.9110 + 29.9835i −0.903107 + 1.13246i 0.0875610 + 0.996159i \(0.472093\pi\)
−0.990668 + 0.136301i \(0.956479\pi\)
\(702\) 27.4273 10.1636i 1.03518 0.383599i
\(703\) −0.773666 + 0.717857i −0.0291793 + 0.0270745i
\(704\) 28.9306 1.09036
\(705\) 7.00101 + 14.7780i 0.263673 + 0.556572i
\(706\) −33.3125 + 30.9095i −1.25373 + 1.16329i
\(707\) −11.5266 19.1170i −0.433501 0.718969i
\(708\) −0.272250 + 0.0603159i −0.0102318 + 0.00226681i
\(709\) 12.6185 3.89228i 0.473897 0.146178i −0.0486014 0.998818i \(-0.515476\pi\)
0.522498 + 0.852641i \(0.325000\pi\)
\(710\) −59.2699 8.93350i −2.22436 0.335268i
\(711\) −22.9148 7.38949i −0.859371 0.277128i
\(712\) −23.9754 22.2459i −0.898515 0.833700i
\(713\) −17.6276 16.3560i −0.660158 0.612537i
\(714\) 18.6139 20.5754i 0.696606 0.770015i
\(715\) −37.1863 + 34.5038i −1.39069 + 1.29037i
\(716\) 1.97878 0.0739505
\(717\) −16.9166 35.7082i −0.631762 1.33355i
\(718\) 2.29617 + 10.0602i 0.0856921 + 0.375442i
\(719\) −18.2091 + 12.4147i −0.679084 + 0.462992i −0.853097 0.521752i \(-0.825279\pi\)
0.174013 + 0.984743i \(0.444326\pi\)
\(720\) 39.2238 + 12.6488i 1.46178 + 0.471392i
\(721\) −5.11181 8.47802i −0.190374 0.315738i
\(722\) 25.9442 3.91046i 0.965544 0.145532i
\(723\) −2.91770 20.2319i −0.108510 0.752433i
\(724\) −0.698193 + 0.105236i −0.0259481 + 0.00391105i
\(725\) −39.3302 + 26.8149i −1.46069 + 0.995881i
\(726\) −2.78612 0.654626i −0.103403 0.0242955i
\(727\) 1.41155 18.8359i 0.0523516 0.698584i −0.907853 0.419288i \(-0.862280\pi\)
0.960205 0.279296i \(-0.0901011\pi\)
\(728\) −30.5027 + 5.19160i −1.13051 + 0.192413i
\(729\) −16.0147 21.7377i −0.593138 0.805101i
\(730\) −0.329075 + 4.39120i −0.0121796 + 0.162526i
\(731\) 7.04946 30.8857i 0.260734 1.14235i
\(732\) 1.44965 0.558309i 0.0535807 0.0206357i
\(733\) −30.6337 38.4135i −1.13148 1.41883i −0.894356 0.447355i \(-0.852366\pi\)
−0.237126 0.971479i \(-0.576205\pi\)
\(734\) 11.1996 + 19.3983i 0.413385 + 0.716004i
\(735\) −23.2961 + 36.6024i −0.859291 + 1.35010i
\(736\) 0.643083 1.11385i 0.0237043 0.0410571i
\(737\) 31.0537 4.68059i 1.14388 0.172412i
\(738\) 8.71444 36.0553i 0.320783 1.32721i
\(739\) −30.0310 + 9.26334i −1.10471 + 0.340758i −0.792878 0.609380i \(-0.791418\pi\)
−0.311831 + 0.950138i \(0.600942\pi\)
\(740\) −0.871867 0.594429i −0.0320505 0.0218516i
\(741\) −1.68373 0.986464i −0.0618533 0.0362387i
\(742\) 36.3535 0.690286i 1.33458 0.0253412i
\(743\) −21.7631 14.8378i −0.798411 0.544347i 0.0939992 0.995572i \(-0.470035\pi\)
−0.892410 + 0.451225i \(0.850987\pi\)
\(744\) 11.8035 + 39.1504i 0.432737 + 1.43532i
\(745\) 62.0445 + 29.8791i 2.27313 + 1.09468i
\(746\) −1.65771 + 4.22377i −0.0606930 + 0.154643i
\(747\) 13.5026 + 6.71589i 0.494033 + 0.245721i
\(748\) 0.737089 + 0.924280i 0.0269506 + 0.0337950i
\(749\) 0.102469 0.0517657i 0.00374415 0.00189148i
\(750\) −23.4732 5.51525i −0.857118 0.201389i
\(751\) 22.5803 + 10.8741i 0.823965 + 0.396801i 0.797848 0.602858i \(-0.205972\pi\)
0.0261169 + 0.999659i \(0.491686\pi\)
\(752\) 9.67817 + 2.98532i 0.352926 + 0.108863i
\(753\) −41.6128 3.38533i −1.51645 0.123368i
\(754\) 17.1640 + 29.7290i 0.625077 + 1.08266i
\(755\) −5.70015 24.9740i −0.207450 0.908897i
\(756\) 0.462361 + 0.960441i 0.0168159 + 0.0349309i
\(757\) 7.79146 34.1366i 0.283185 1.24072i −0.610498 0.792018i \(-0.709031\pi\)
0.893683 0.448699i \(-0.148112\pi\)
\(758\) 6.81850 2.10323i 0.247659 0.0763927i
\(759\) −12.1520 + 12.9304i −0.441088 + 0.469343i
\(760\) −1.04510 2.66286i −0.0379096 0.0965921i
\(761\) −6.40488 + 28.0616i −0.232177 + 1.01723i 0.715653 + 0.698456i \(0.246129\pi\)
−0.947830 + 0.318777i \(0.896728\pi\)
\(762\) −43.8434 + 9.71336i −1.58828 + 0.351878i
\(763\) 38.5642 + 11.0982i 1.39612 + 0.401782i
\(764\) 0.0551659 + 0.241698i 0.00199583 + 0.00874431i
\(765\) 16.5692 + 43.8534i 0.599060 + 1.58552i
\(766\) −16.4103 28.4235i −0.592930 1.02698i
\(767\) −1.87583 8.21856i −0.0677324 0.296755i
\(768\) −2.79723 + 1.59129i −0.100936 + 0.0574209i
\(769\) −39.9190 6.01683i −1.43952 0.216972i −0.617561 0.786523i \(-0.711879\pi\)
−0.821956 + 0.569551i \(0.807117\pi\)
\(770\) 34.1865 + 30.5333i 1.23200 + 1.10035i
\(771\) −16.6077 24.6957i −0.598110 0.889395i
\(772\) −0.974465 + 0.904171i −0.0350718 + 0.0325418i
\(773\) −3.15822 + 8.04702i −0.113593 + 0.289431i −0.976353 0.216184i \(-0.930639\pi\)
0.862759 + 0.505615i \(0.168734\pi\)
\(774\) −24.7148 17.3159i −0.888355 0.622407i
\(775\) −23.3723 59.5517i −0.839559 2.13916i
\(776\) 2.90262 38.7328i 0.104198 1.39043i
\(777\) 2.81465 + 17.1993i 0.100975 + 0.617023i
\(778\) −1.21370 16.1957i −0.0435132 0.580644i
\(779\) −2.22964 + 1.07374i −0.0798850 + 0.0384706i
\(780\) 0.586967 1.86070i 0.0210168 0.0666239i
\(781\) −38.0035 + 18.3015i −1.35987 + 0.654879i
\(782\) −17.5662 + 2.64767i −0.628164 + 0.0946805i
\(783\) 21.9933 22.8122i 0.785975 0.815242i
\(784\) 6.96994 + 25.9528i 0.248926 + 0.926885i
\(785\) 25.8141 44.7113i 0.921344 1.59582i
\(786\) 0.118093 0.241276i 0.00421224 0.00860604i
\(787\) 3.77500 50.3739i 0.134564 1.79564i −0.366698 0.930340i \(-0.619512\pi\)
0.501262 0.865296i \(-0.332869\pi\)
\(788\) 0.653083 + 0.605972i 0.0232651 + 0.0215869i
\(789\) 12.5717 4.84176i 0.447563 0.172371i
\(790\) 32.9014 22.4318i 1.17058 0.798087i
\(791\) 0.371080 6.64161i 0.0131941 0.236148i
\(792\) 28.9444 8.52560i 1.02849 0.302944i
\(793\) 17.1572 + 43.7159i 0.609271 + 1.55240i
\(794\) −1.80881 0.871075i −0.0641921 0.0309133i
\(795\) −27.0076 + 55.1792i −0.957859 + 1.95700i
\(796\) −0.0593117 0.259862i −0.00210225 0.00921055i
\(797\) 5.71583 14.5637i 0.202465 0.515872i −0.793192 0.608972i \(-0.791582\pi\)
0.995657 + 0.0930994i \(0.0296774\pi\)
\(798\) −0.744955 + 1.59816i −0.0263711 + 0.0565744i
\(799\) 4.20897 + 10.7243i 0.148903 + 0.379398i
\(800\) 2.82714 1.92751i 0.0999546 0.0681479i
\(801\) −30.4982 15.1691i −1.07760 0.535975i
\(802\) 6.65225 + 11.5220i 0.234899 + 0.406857i
\(803\) 1.54943 + 2.68368i 0.0546780 + 0.0947051i
\(804\) −0.949131 + 0.747059i −0.0334733 + 0.0263467i
\(805\) 26.3848 8.69055i 0.929944 0.306302i
\(806\) −44.0855 + 13.5986i −1.55284 + 0.478989i
\(807\) 7.79939 1.72793i 0.274551 0.0608259i
\(808\) 15.1535 19.0019i 0.533098 0.668484i
\(809\) −30.2372 4.55752i −1.06308 0.160234i −0.405863 0.913934i \(-0.633029\pi\)
−0.657219 + 0.753700i \(0.728267\pi\)
\(810\) 44.6409 + 1.13852i 1.56852 + 0.0400033i
\(811\) −8.71311 + 38.1746i −0.305959 + 1.34049i 0.555013 + 0.831841i \(0.312713\pi\)
−0.860972 + 0.508652i \(0.830144\pi\)
\(812\) −1.02006 + 0.724209i −0.0357970 + 0.0254147i
\(813\) −28.6632 11.4609i −1.00526 0.401950i
\(814\) 18.4121 0.645343
\(815\) 0.118684 0.205567i 0.00415732 0.00720068i
\(816\) 26.9600 + 10.7799i 0.943789 + 0.377370i
\(817\) 0.150453 + 2.00766i 0.00526369 + 0.0702390i
\(818\) 0.932195 1.16894i 0.0325934 0.0408709i
\(819\) −28.9453 + 14.1624i −1.01143 + 0.494874i
\(820\) −1.54269 1.93448i −0.0538732 0.0675549i
\(821\) 36.4731 33.8421i 1.27292 1.18110i 0.298990 0.954256i \(-0.403350\pi\)
0.973932 0.226842i \(-0.0728401\pi\)
\(822\) 20.4543 41.7902i 0.713425 1.45760i
\(823\) 8.89269 6.06293i 0.309980 0.211340i −0.398330 0.917242i \(-0.630410\pi\)
0.708310 + 0.705901i \(0.249458\pi\)
\(824\) 6.72028 8.42696i 0.234112 0.293567i
\(825\) −44.0529 + 16.9662i −1.53373 + 0.590688i
\(826\) −7.23474 + 2.38295i −0.251729 + 0.0829135i
\(827\) −47.9643 23.0984i −1.66788 0.803209i −0.998163 0.0605938i \(-0.980701\pi\)
−0.669718 0.742615i \(-0.733585\pi\)
\(828\) 0.160337 0.663380i 0.00557209 0.0230541i
\(829\) −38.9571 + 12.0167i −1.35303 + 0.417356i −0.884686 0.466188i \(-0.845627\pi\)
−0.468349 + 0.883544i \(0.655151\pi\)
\(830\) −22.4717 + 10.8218i −0.780006 + 0.375631i
\(831\) 3.02841 + 4.50327i 0.105054 + 0.156217i
\(832\) −16.8193 29.1319i −0.583105 1.00997i
\(833\) −18.1373 + 24.6046i −0.628421 + 0.852500i
\(834\) −16.8579 + 24.3905i −0.583742 + 0.844575i
\(835\) −14.4021 + 36.6960i −0.498406 + 1.26992i
\(836\) −0.0620750 0.0423220i −0.00214691 0.00146374i
\(837\) 23.3125 + 35.6389i 0.805799 + 1.23186i
\(838\) −3.64541 + 48.6446i −0.125929 + 1.68040i
\(839\) −22.5678 + 15.3865i −0.779129 + 0.531201i −0.886340 0.463035i \(-0.846760\pi\)
0.107211 + 0.994236i \(0.465808\pi\)
\(840\) −46.1823 9.92979i −1.59344 0.342610i
\(841\) 6.76600 + 4.61298i 0.233311 + 0.159068i
\(842\) 16.0294 20.1003i 0.552411 0.692701i
\(843\) 19.0319 10.8269i 0.655495 0.372899i
\(844\) −0.144866 0.181657i −0.00498650 0.00625288i
\(845\) 11.9089 + 3.67341i 0.409679 + 0.126369i
\(846\) 10.9733 + 0.139908i 0.377269 + 0.00481012i
\(847\) 3.12617 + 0.410658i 0.107416 + 0.0141104i
\(848\) 13.9012 + 35.4198i 0.477371 + 1.21632i
\(849\) −19.7921 + 11.2594i −0.679264 + 0.386421i
\(850\) −45.1610 13.9303i −1.54901 0.477807i
\(851\) 5.57930 9.66363i 0.191256 0.331265i
\(852\) 0.922424 1.33459i 0.0316017 0.0457223i
\(853\) −2.04525 0.630876i −0.0700281 0.0216008i 0.259543 0.965731i \(-0.416428\pi\)
−0.329571 + 0.944131i \(0.606904\pi\)
\(854\) 37.8752 19.1339i 1.29606 0.654749i
\(855\) −1.82766 2.35273i −0.0625047 0.0804617i
\(856\) 0.0916253 + 0.0850159i 0.00313169 + 0.00290578i
\(857\) −20.7542 + 26.0249i −0.708950 + 0.888995i −0.997656 0.0684224i \(-0.978203\pi\)
0.288706 + 0.957418i \(0.406775\pi\)
\(858\) 9.82695 + 32.5944i 0.335487 + 1.11276i
\(859\) 4.85065 21.2521i 0.165502 0.725112i −0.822256 0.569118i \(-0.807285\pi\)
0.987758 0.155994i \(-0.0498580\pi\)
\(860\) −1.92351 + 0.593326i −0.0655913 + 0.0202322i
\(861\) −5.58060 + 40.4826i −0.190186 + 1.37964i
\(862\) −9.19287 2.83562i −0.313110 0.0965818i
\(863\) 21.2045 36.7272i 0.721809 1.25021i −0.238465 0.971151i \(-0.576644\pi\)
0.960274 0.279059i \(-0.0900224\pi\)
\(864\) −1.58092 + 1.63979i −0.0537841 + 0.0557869i
\(865\) 47.4844 44.0591i 1.61452 1.49805i
\(866\) 2.43337 + 32.4710i 0.0826892 + 1.10341i
\(867\) 1.03412 + 3.43001i 0.0351206 + 0.116489i
\(868\) −0.643841 1.55311i −0.0218534 0.0527161i
\(869\) 10.2378 26.0856i 0.347295 0.884893i
\(870\) 7.48053 + 51.8716i 0.253614 + 1.75861i
\(871\) −22.7667 28.5486i −0.771421 0.967331i
\(872\) 3.26502 + 43.5687i 0.110568 + 1.47542i
\(873\) −8.49787 39.5492i −0.287609 1.33854i
\(874\) 1.01715 0.489834i 0.0344056 0.0165689i
\(875\) 26.3381 + 3.45981i 0.890390 + 0.116963i
\(876\) −0.102837 0.0602504i −0.00347455 0.00203567i
\(877\) −7.38248 + 3.55522i −0.249289 + 0.120051i −0.554356 0.832280i \(-0.687035\pi\)
0.305067 + 0.952331i \(0.401321\pi\)
\(878\) −1.06914 0.992020i −0.0360818 0.0334790i
\(879\) −10.5172 8.49740i −0.354735 0.286610i
\(880\) −17.5244 + 44.6514i −0.590746 + 1.50520i
\(881\) 9.07533 0.305756 0.152878 0.988245i \(-0.451146\pi\)
0.152878 + 0.988245i \(0.451146\pi\)
\(882\) 15.1899 + 24.8410i 0.511470 + 0.836439i
\(883\) −8.36719 −0.281578 −0.140789 0.990040i \(-0.544964\pi\)
−0.140789 + 0.990040i \(0.544964\pi\)
\(884\) 0.502191 1.27956i 0.0168905 0.0430364i
\(885\) 1.99924 12.7136i 0.0672036 0.427363i
\(886\) 10.5534 + 9.79213i 0.354549 + 0.328973i
\(887\) 29.0829 14.0056i 0.976508 0.470262i 0.123606 0.992331i \(-0.460554\pi\)
0.852903 + 0.522070i \(0.174840\pi\)
\(888\) −16.4929 + 9.38250i −0.553465 + 0.314856i
\(889\) 46.9897 15.4773i 1.57599 0.519092i
\(890\) 50.7568 24.4432i 1.70137 0.819338i
\(891\) 26.4074 17.0346i 0.884683 0.570680i
\(892\) −0.0173465 0.231473i −0.000580804 0.00775029i
\(893\) −0.456486 0.572415i −0.0152757 0.0191551i
\(894\) 36.3151 28.5835i 1.21456 0.955976i
\(895\) −33.3655 + 85.0139i −1.11529 + 2.84170i
\(896\) −22.8927 + 16.2531i −0.764790 + 0.542976i
\(897\) 20.0851 + 4.71919i 0.670622 + 0.157569i
\(898\) −0.148093 1.97616i −0.00494192 0.0659454i
\(899\) −36.6379 + 33.9950i −1.22194 + 1.13380i
\(900\) 1.15006 1.40500i 0.0383352 0.0468333i
\(901\) −21.6408 + 37.4830i −0.720959 + 1.24874i
\(902\) 41.2546 + 12.7254i 1.37363 + 0.423708i
\(903\) 28.9991 + 16.2585i 0.965030 + 0.541050i
\(904\) 6.92058 2.13472i 0.230175 0.0709996i
\(905\) 7.25146 31.7707i 0.241047 1.05609i
\(906\) −16.7353 3.93213i −0.555994 0.130636i
\(907\) −34.5051 + 43.2680i −1.14572 + 1.43669i −0.264252 + 0.964454i \(0.585125\pi\)
−0.881471 + 0.472238i \(0.843446\pi\)
\(908\) 0.549971 + 0.510299i 0.0182514 + 0.0169349i
\(909\) 9.54717 23.4425i 0.316660 0.777539i
\(910\) 10.8709 52.1754i 0.360366 1.72960i
\(911\) 27.5662 + 8.50305i 0.913310 + 0.281719i 0.715574 0.698537i \(-0.246165\pi\)
0.197735 + 0.980255i \(0.436641\pi\)
\(912\) −1.83914 0.149620i −0.0609000 0.00495441i
\(913\) −8.77603 + 15.2005i −0.290444 + 0.503064i
\(914\) −12.2094 3.76609i −0.403850 0.124571i
\(915\) −0.457033 + 71.6951i −0.0151090 + 2.37017i
\(916\) −0.383254 0.976516i −0.0126631 0.0322650i
\(917\) −0.102871 + 0.277489i −0.00339709 + 0.00916348i
\(918\) 31.3220 + 2.95055i 1.03378 + 0.0973828i
\(919\) 20.2776 + 6.25481i 0.668896 + 0.206327i 0.610560 0.791970i \(-0.290944\pi\)
0.0583361 + 0.998297i \(0.481421\pi\)
\(920\) 18.8572 + 23.6462i 0.621705 + 0.779593i
\(921\) −19.1579 11.2242i −0.631273 0.369851i
\(922\) −2.97000 + 3.72427i −0.0978119 + 0.122652i
\(923\) 40.5228 + 27.6280i 1.33382 + 0.909386i
\(924\) −1.14907 + 0.467782i −0.0378015 + 0.0153889i
\(925\) 24.5279 16.7229i 0.806473 0.549844i
\(926\) 3.02158 40.3202i 0.0992952 1.32500i
\(927\) 4.23398 10.3963i 0.139062 0.341459i
\(928\) −2.20872 1.50588i −0.0725047 0.0494329i
\(929\) −14.8508 + 37.8393i −0.487239 + 1.24147i 0.450078 + 0.892989i \(0.351396\pi\)
−0.937318 + 0.348477i \(0.886699\pi\)
\(930\) −70.2019 5.71115i −2.30201 0.187276i
\(931\) 0.640540 1.83392i 0.0209928 0.0601043i
\(932\) 0.216248 + 0.374553i 0.00708345 + 0.0122689i
\(933\) −10.0228 + 0.686883i −0.328131 + 0.0224875i
\(934\) 11.9502 5.75490i 0.391022 0.188306i
\(935\) −52.1381 + 16.0825i −1.70510 + 0.525954i
\(936\) −25.4122 24.1893i −0.830625 0.790651i
\(937\) −39.5879 19.0645i −1.29328 0.622812i −0.344512 0.938782i \(-0.611956\pi\)
−0.948769 + 0.315970i \(0.897670\pi\)
\(938\) −23.7560 + 22.8968i −0.775660 + 0.747608i
\(939\) −28.8023 23.2710i −0.939928 0.759420i
\(940\) 0.456408 0.572318i 0.0148864 0.0186669i
\(941\) −5.20263 + 3.54709i −0.169601 + 0.115632i −0.645146 0.764060i \(-0.723203\pi\)
0.475545 + 0.879691i \(0.342251\pi\)
\(942\) −19.3348 28.7511i −0.629963 0.936761i
\(943\) 19.1801 17.7965i 0.624589 0.579534i
\(944\) −4.96991 6.23207i −0.161757 0.202837i
\(945\) −49.0593 + 3.66969i −1.59590 + 0.119375i
\(946\) 21.8988 27.4602i 0.711990 0.892807i
\(947\) −3.63746 48.5386i −0.118202 1.57729i −0.669390 0.742911i \(-0.733445\pi\)
0.551189 0.834381i \(-0.314174\pi\)
\(948\) 0.153841 + 1.06677i 0.00499652 + 0.0346469i
\(949\) 1.80157 3.12041i 0.0584814 0.101293i
\(950\) 3.00345 0.0974449
\(951\) 5.14248 4.04763i 0.166756 0.131254i
\(952\) −31.9820 9.20394i −1.03654 0.298302i
\(953\) −3.94576 + 17.2875i −0.127816 + 0.559997i 0.869947 + 0.493145i \(0.164153\pi\)
−0.997763 + 0.0668523i \(0.978704\pi\)
\(954\) 25.2925 + 32.5588i 0.818874 + 1.05413i
\(955\) −11.3142 1.70534i −0.366118 0.0551834i
\(956\) −1.10282 + 1.38289i −0.0356678 + 0.0447260i
\(957\) 24.9125 + 27.1949i 0.805305 + 0.879086i
\(958\) −25.8870 + 7.98509i −0.836372 + 0.257986i
\(959\) −17.8177 + 48.0623i −0.575362 + 1.55201i
\(960\) −7.33030 50.8298i −0.236584 1.64053i
\(961\) −18.0853 31.3246i −0.583395 1.01047i
\(962\) −10.7042 18.5402i −0.345117 0.597759i
\(963\) 0.116553 + 0.0579710i 0.00375587 + 0.00186809i
\(964\) −0.756054 + 0.515469i −0.0243509 + 0.0166021i
\(965\) −22.4146 57.1115i −0.721552 1.83848i
\(966\) 2.54585 18.4680i 0.0819112 0.594198i
\(967\) −13.2893 + 33.8607i −0.427356 + 1.08889i 0.541377 + 0.840780i \(0.317903\pi\)
−0.968733 + 0.248106i \(0.920192\pi\)
\(968\) 0.763883 + 3.34679i 0.0245521 + 0.107570i
\(969\) −1.17128 1.74171i −0.0376270 0.0559517i
\(970\) 60.2779 + 29.0283i 1.93541 + 0.932043i
\(971\) 7.19286 + 18.3271i 0.230830 + 0.588145i 0.998618 0.0525590i \(-0.0167378\pi\)
−0.767788 + 0.640704i \(0.778643\pi\)
\(972\) −0.558854 + 1.07170i −0.0179253 + 0.0343748i
\(973\) 15.7922 28.5932i 0.506276 0.916656i
\(974\) 7.12863 4.86022i 0.228416 0.155731i
\(975\) 42.6952 + 34.4958i 1.36734 + 1.10475i
\(976\) 32.5521 + 30.2039i 1.04197 + 0.966804i
\(977\) −2.95015 + 39.3671i −0.0943838 + 1.25946i 0.726017 + 0.687676i \(0.241369\pi\)
−0.820401 + 0.571788i \(0.806250\pi\)
\(978\) −0.0888947 0.132187i −0.00284254 0.00422688i
\(979\) 19.8224 34.3334i 0.633526 1.09730i
\(980\) 1.93015 + 0.216357i 0.0616562 + 0.00691129i
\(981\) 16.0825 + 42.5655i 0.513476 + 1.35901i
\(982\) −43.6959 + 6.58610i −1.39439 + 0.210171i
\(983\) −10.7873 + 5.19491i −0.344063 + 0.165692i −0.597932 0.801547i \(-0.704011\pi\)
0.253870 + 0.967238i \(0.418297\pi\)
\(984\) −43.4390 + 9.62377i −1.38479 + 0.306794i
\(985\) −37.0463 + 17.8406i −1.18039 + 0.568447i
\(986\) 2.75923 + 36.8194i 0.0878718 + 1.17257i
\(987\) −12.0440 + 1.05546i −0.383363 + 0.0335958i
\(988\) −0.00652811 + 0.0871115i −0.000207687 + 0.00277139i
\(989\) −7.77670 19.8147i −0.247285 0.630071i
\(990\) −4.54445 + 51.7749i −0.144432 + 1.64551i
\(991\) −1.60907 + 4.09984i −0.0511137 + 0.130236i −0.954150 0.299328i \(-0.903237\pi\)
0.903036 + 0.429564i \(0.141333\pi\)
\(992\) 2.63361 2.44364i 0.0836173 0.0775855i
\(993\) 17.1795 35.0994i 0.545174 1.11385i
\(994\) 21.4253 38.7924i 0.679570 1.23042i
\(995\) 12.1645 + 1.83350i 0.385639 + 0.0581258i
\(996\) 0.00430334 0.675069i 0.000136357 0.0213904i
\(997\) 4.29473 + 18.8164i 0.136015 + 0.595923i 0.996288 + 0.0860876i \(0.0274365\pi\)
−0.860272 + 0.509835i \(0.829706\pi\)
\(998\) 13.2893 + 23.0177i 0.420665 + 0.728613i
\(999\) −13.7159 + 14.2266i −0.433951 + 0.450110i
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 441.2.z.a.142.40 yes 648
9.4 even 3 441.2.y.a.436.40 yes 648
49.39 even 21 441.2.y.a.88.40 648
441.382 even 21 inner 441.2.z.a.382.40 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.88.40 648 49.39 even 21
441.2.y.a.436.40 yes 648 9.4 even 3
441.2.z.a.142.40 yes 648 1.1 even 1 trivial
441.2.z.a.382.40 yes 648 441.382 even 21 inner