Properties

Label 403.2.cb.a.15.19
Level $403$
Weight $2$
Character 403.15
Analytic conductor $3.218$
Analytic rank $0$
Dimension $576$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [403,2,Mod(15,403)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(403, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([5, 42]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("403.15");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.cb (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: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(576\)
Relative dimension: \(36\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 15.19
Character \(\chi\) \(=\) 403.15
Dual form 403.2.cb.a.215.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0302615 - 0.0116163i) q^{2} +(2.11154 + 0.221931i) q^{3} +(-1.48551 + 1.33756i) q^{4} +(-0.761137 + 0.761137i) q^{5} +(0.0664762 - 0.0178122i) q^{6} +(-0.0268833 + 0.512964i) q^{7} +(-0.0588479 + 0.115496i) q^{8} +(1.47489 + 0.313497i) q^{9} +O(q^{10})\) \(q+(0.0302615 - 0.0116163i) q^{2} +(2.11154 + 0.221931i) q^{3} +(-1.48551 + 1.33756i) q^{4} +(-0.761137 + 0.761137i) q^{5} +(0.0664762 - 0.0178122i) q^{6} +(-0.0268833 + 0.512964i) q^{7} +(-0.0588479 + 0.115496i) q^{8} +(1.47489 + 0.313497i) q^{9} +(-0.0141915 + 0.0318747i) q^{10} +(-2.80781 + 4.32365i) q^{11} +(-3.43355 + 2.49462i) q^{12} +(2.91941 + 2.11591i) q^{13} +(0.00514522 + 0.0158353i) q^{14} +(-1.77609 + 1.43825i) q^{15} +(0.417455 - 3.97182i) q^{16} +(5.51495 + 1.17224i) q^{17} +(0.0482739 - 0.00764584i) q^{18} +(-0.630201 - 0.510327i) q^{19} +(0.112611 - 2.14874i) q^{20} +(-0.170608 + 1.07718i) q^{21} +(-0.0347437 + 0.163456i) q^{22} +(-2.69121 + 2.98889i) q^{23} +(-0.149892 + 0.230813i) q^{24} +3.84134i q^{25} +(0.112925 + 0.0301177i) q^{26} +(-3.01305 - 0.979000i) q^{27} +(-0.646184 - 0.797971i) q^{28} +(1.70000 - 3.81826i) q^{29} +(-0.0370400 + 0.0641551i) q^{30} +(2.45412 - 4.99773i) q^{31} +(-0.100603 - 0.375456i) q^{32} +(-6.88834 + 8.50640i) q^{33} +(0.180508 - 0.0285896i) q^{34} +(-0.369974 - 0.410898i) q^{35} +(-2.61028 + 1.50704i) q^{36} +(-1.13460 - 0.304016i) q^{37} +(-0.0249989 - 0.00812264i) q^{38} +(5.69485 + 5.11572i) q^{39} +(-0.0431166 - 0.132699i) q^{40} +(1.36003 - 0.522066i) q^{41} +(0.00734995 + 0.0345788i) q^{42} +(-1.09535 - 10.4215i) q^{43} +(-1.61210 - 10.1784i) q^{44} +(-1.36121 + 0.883977i) q^{45} +(-0.0467201 + 0.121710i) q^{46} +(0.597684 + 3.77363i) q^{47} +(1.76294 - 8.29399i) q^{48} +(6.69924 + 0.704119i) q^{49} +(0.0446221 + 0.116245i) q^{50} +(11.3849 + 3.69917i) q^{51} +(-7.16695 + 0.761683i) q^{52} +(11.6841 - 3.79640i) q^{53} +(-0.102552 + 0.00537451i) q^{54} +(-1.15376 - 5.42802i) q^{55} +(-0.0576631 - 0.0332918i) q^{56} +(-1.21743 - 1.21743i) q^{57} +(0.00709045 - 0.135294i) q^{58} +(7.98705 + 3.06594i) q^{59} +(0.714655 - 4.51215i) q^{60} +(-4.51942 - 2.60929i) q^{61} +(0.0162101 - 0.179746i) q^{62} +(-0.200463 + 0.748137i) q^{63} +(4.68747 + 6.45174i) q^{64} +(-3.83256 + 0.611576i) q^{65} +(-0.109639 + 0.337433i) q^{66} +(-12.0263 - 3.22244i) q^{67} +(-9.76045 + 5.63520i) q^{68} +(-6.34591 + 5.71388i) q^{69} +(-0.0159691 - 0.00813666i) q^{70} +(-4.64109 + 3.01396i) q^{71} +(-0.123002 + 0.151894i) q^{72} +(1.45968 + 2.86479i) q^{73} +(-0.0378663 + 0.00397991i) q^{74} +(-0.852514 + 8.11113i) q^{75} +(1.61876 - 0.0848357i) q^{76} +(-2.14239 - 1.55654i) q^{77} +(0.231760 + 0.0886561i) q^{78} +(14.0345 - 4.56010i) q^{79} +(2.70536 + 3.34084i) q^{80} +(-10.2773 - 4.57576i) q^{81} +(0.0350920 - 0.0315970i) q^{82} +(10.5695 + 1.67404i) q^{83} +(-1.18735 - 1.82835i) q^{84} +(-5.08987 + 3.30540i) q^{85} +(-0.154207 - 0.302648i) q^{86} +(4.43700 - 7.68511i) q^{87} +(-0.334128 - 0.578727i) q^{88} +(-1.17583 + 1.81062i) q^{89} +(-0.0309236 + 0.0425626i) q^{90} +(-1.16387 + 1.44067i) q^{91} -8.03967i q^{92} +(6.29111 - 10.0082i) q^{93} +(0.0619224 + 0.107253i) q^{94} +(0.868098 - 0.0912408i) q^{95} +(-0.129102 - 0.815116i) q^{96} +(-9.81716 - 0.514495i) q^{97} +(0.210908 - 0.0565127i) q^{98} +(-5.49665 + 5.49665i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 576 q - 12 q^{2} - 10 q^{3} - 18 q^{4} - 32 q^{5} - 4 q^{7} - 22 q^{8} - 74 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 576 q - 12 q^{2} - 10 q^{3} - 18 q^{4} - 32 q^{5} - 4 q^{7} - 22 q^{8} - 74 q^{9} - 18 q^{10} - 30 q^{13} - 80 q^{14} + 10 q^{15} - 78 q^{16} - 30 q^{17} + 2 q^{18} - 16 q^{19} + 34 q^{20} - 70 q^{21} - 60 q^{22} - 30 q^{23} + 20 q^{24} + 80 q^{27} - 16 q^{28} - 10 q^{29} + 24 q^{31} - 112 q^{32} + 4 q^{33} - 20 q^{34} - 38 q^{35} - 48 q^{36} + 28 q^{39} + 8 q^{40} - 22 q^{41} - 10 q^{42} - 120 q^{43} - 60 q^{44} + 18 q^{45} - 100 q^{46} + 4 q^{47} - 10 q^{48} - 78 q^{49} - 120 q^{50} + 20 q^{52} - 80 q^{54} - 10 q^{55} + 432 q^{56} + 70 q^{58} + 52 q^{59} + 160 q^{60} - 72 q^{62} - 316 q^{63} - 30 q^{65} + 40 q^{66} - 44 q^{67} + 174 q^{69} + 66 q^{70} - 20 q^{71} - 264 q^{72} - 20 q^{73} - 10 q^{74} + 210 q^{75} + 26 q^{76} + 96 q^{78} + 40 q^{79} - 18 q^{80} + 54 q^{81} - 138 q^{82} - 290 q^{83} + 220 q^{84} - 30 q^{85} - 20 q^{86} - 8 q^{87} - 10 q^{89} + 70 q^{91} - 134 q^{93} - 24 q^{94} + 102 q^{95} - 70 q^{96} - 110 q^{97} + 200 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0302615 0.0116163i 0.0213981 0.00821396i −0.347645 0.937626i \(-0.613019\pi\)
0.369043 + 0.929412i \(0.379685\pi\)
\(3\) 2.11154 + 0.221931i 1.21910 + 0.128132i 0.692142 0.721762i \(-0.256667\pi\)
0.526954 + 0.849894i \(0.323334\pi\)
\(4\) −1.48551 + 1.33756i −0.742754 + 0.668779i
\(5\) −0.761137 + 0.761137i −0.340391 + 0.340391i −0.856514 0.516123i \(-0.827375\pi\)
0.516123 + 0.856514i \(0.327375\pi\)
\(6\) 0.0664762 0.0178122i 0.0271388 0.00727182i
\(7\) −0.0268833 + 0.512964i −0.0101609 + 0.193882i 0.988833 + 0.149030i \(0.0476151\pi\)
−0.998994 + 0.0448524i \(0.985718\pi\)
\(8\) −0.0588479 + 0.115496i −0.0208059 + 0.0408338i
\(9\) 1.47489 + 0.313497i 0.491629 + 0.104499i
\(10\) −0.0141915 + 0.0318747i −0.00448776 + 0.0100797i
\(11\) −2.80781 + 4.32365i −0.846587 + 1.30363i 0.104444 + 0.994531i \(0.466694\pi\)
−0.951030 + 0.309098i \(0.899973\pi\)
\(12\) −3.43355 + 2.49462i −0.991181 + 0.720135i
\(13\) 2.91941 + 2.11591i 0.809698 + 0.586847i
\(14\) 0.00514522 + 0.0158353i 0.00137512 + 0.00423217i
\(15\) −1.77609 + 1.43825i −0.458584 + 0.371354i
\(16\) 0.417455 3.97182i 0.104364 0.992955i
\(17\) 5.51495 + 1.17224i 1.33757 + 0.284310i 0.820507 0.571636i \(-0.193691\pi\)
0.517065 + 0.855946i \(0.327024\pi\)
\(18\) 0.0482739 0.00764584i 0.0113783 0.00180214i
\(19\) −0.630201 0.510327i −0.144578 0.117077i 0.554303 0.832315i \(-0.312985\pi\)
−0.698881 + 0.715238i \(0.746318\pi\)
\(20\) 0.112611 2.14874i 0.0251805 0.480473i
\(21\) −0.170608 + 1.07718i −0.0372297 + 0.235059i
\(22\) −0.0347437 + 0.163456i −0.00740738 + 0.0348490i
\(23\) −2.69121 + 2.98889i −0.561155 + 0.623226i −0.955234 0.295850i \(-0.904397\pi\)
0.394079 + 0.919077i \(0.371064\pi\)
\(24\) −0.149892 + 0.230813i −0.0305965 + 0.0471145i
\(25\) 3.84134i 0.768268i
\(26\) 0.112925 + 0.0301177i 0.0221463 + 0.00590657i
\(27\) −3.01305 0.979000i −0.579862 0.188409i
\(28\) −0.646184 0.797971i −0.122117 0.150802i
\(29\) 1.70000 3.81826i 0.315682 0.709033i −0.684111 0.729378i \(-0.739810\pi\)
0.999793 + 0.0203448i \(0.00647640\pi\)
\(30\) −0.0370400 + 0.0641551i −0.00676254 + 0.0117131i
\(31\) 2.45412 4.99773i 0.440772 0.897619i
\(32\) −0.100603 0.375456i −0.0177843 0.0663719i
\(33\) −6.88834 + 8.50640i −1.19911 + 1.48077i
\(34\) 0.180508 0.0285896i 0.0309568 0.00490308i
\(35\) −0.369974 0.410898i −0.0625371 0.0694545i
\(36\) −2.61028 + 1.50704i −0.435046 + 0.251174i
\(37\) −1.13460 0.304016i −0.186528 0.0499799i 0.164346 0.986403i \(-0.447449\pi\)
−0.350874 + 0.936423i \(0.614115\pi\)
\(38\) −0.0249989 0.00812264i −0.00405536 0.00131767i
\(39\) 5.69485 + 5.11572i 0.911906 + 0.819170i
\(40\) −0.0431166 0.132699i −0.00681734 0.0209816i
\(41\) 1.36003 0.522066i 0.212401 0.0815330i −0.249841 0.968287i \(-0.580378\pi\)
0.462242 + 0.886754i \(0.347045\pi\)
\(42\) 0.00734995 + 0.0345788i 0.00113412 + 0.00533562i
\(43\) −1.09535 10.4215i −0.167039 1.58927i −0.681540 0.731781i \(-0.738689\pi\)
0.514500 0.857490i \(-0.327977\pi\)
\(44\) −1.61210 10.1784i −0.243034 1.53446i
\(45\) −1.36121 + 0.883977i −0.202917 + 0.131776i
\(46\) −0.0467201 + 0.121710i −0.00688850 + 0.0179452i
\(47\) 0.597684 + 3.77363i 0.0871812 + 0.550440i 0.992159 + 0.124982i \(0.0398872\pi\)
−0.904978 + 0.425459i \(0.860113\pi\)
\(48\) 1.76294 8.29399i 0.254459 1.19713i
\(49\) 6.69924 + 0.704119i 0.957035 + 0.100588i
\(50\) 0.0446221 + 0.116245i 0.00631052 + 0.0164395i
\(51\) 11.3849 + 3.69917i 1.59420 + 0.517987i
\(52\) −7.16695 + 0.761683i −0.993878 + 0.105626i
\(53\) 11.6841 3.79640i 1.60494 0.521476i 0.636615 0.771182i \(-0.280334\pi\)
0.968322 + 0.249706i \(0.0803340\pi\)
\(54\) −0.102552 + 0.00537451i −0.0139555 + 0.000731378i
\(55\) −1.15376 5.42802i −0.155573 0.731914i
\(56\) −0.0576631 0.0332918i −0.00770555 0.00444880i
\(57\) −1.21743 1.21743i −0.161253 0.161253i
\(58\) 0.00709045 0.135294i 0.000931022 0.0177650i
\(59\) 7.98705 + 3.06594i 1.03983 + 0.399152i 0.817565 0.575836i \(-0.195323\pi\)
0.222260 + 0.974987i \(0.428657\pi\)
\(60\) 0.714655 4.51215i 0.0922615 0.582516i
\(61\) −4.51942 2.60929i −0.578653 0.334085i 0.181945 0.983309i \(-0.441761\pi\)
−0.760598 + 0.649223i \(0.775094\pi\)
\(62\) 0.0162101 0.179746i 0.00205868 0.0228278i
\(63\) −0.200463 + 0.748137i −0.0252559 + 0.0942564i
\(64\) 4.68747 + 6.45174i 0.585933 + 0.806468i
\(65\) −3.83256 + 0.611576i −0.475371 + 0.0758567i
\(66\) −0.109639 + 0.337433i −0.0134956 + 0.0415352i
\(67\) −12.0263 3.22244i −1.46925 0.393683i −0.566573 0.824011i \(-0.691731\pi\)
−0.902673 + 0.430328i \(0.858398\pi\)
\(68\) −9.76045 + 5.63520i −1.18363 + 0.683368i
\(69\) −6.34591 + 5.71388i −0.763958 + 0.687870i
\(70\) −0.0159691 0.00813666i −0.00190867 0.000972517i
\(71\) −4.64109 + 3.01396i −0.550796 + 0.357691i −0.789836 0.613319i \(-0.789834\pi\)
0.239039 + 0.971010i \(0.423168\pi\)
\(72\) −0.123002 + 0.151894i −0.0144959 + 0.0179009i
\(73\) 1.45968 + 2.86479i 0.170843 + 0.335299i 0.960514 0.278232i \(-0.0897485\pi\)
−0.789671 + 0.613531i \(0.789749\pi\)
\(74\) −0.0378663 + 0.00397991i −0.00440187 + 0.000462655i
\(75\) −0.852514 + 8.11113i −0.0984398 + 0.936592i
\(76\) 1.61876 0.0848357i 0.185685 0.00973132i
\(77\) −2.14239 1.55654i −0.244148 0.177384i
\(78\) 0.231760 + 0.0886561i 0.0262417 + 0.0100383i
\(79\) 14.0345 4.56010i 1.57901 0.513051i 0.617207 0.786801i \(-0.288264\pi\)
0.961801 + 0.273750i \(0.0882640\pi\)
\(80\) 2.70536 + 3.34084i 0.302468 + 0.373517i
\(81\) −10.2773 4.57576i −1.14193 0.508418i
\(82\) 0.0350920 0.0315970i 0.00387526 0.00348930i
\(83\) 10.5695 + 1.67404i 1.16015 + 0.183749i 0.706687 0.707527i \(-0.250189\pi\)
0.453461 + 0.891276i \(0.350189\pi\)
\(84\) −1.18735 1.82835i −0.129550 0.199490i
\(85\) −5.08987 + 3.30540i −0.552074 + 0.358521i
\(86\) −0.154207 0.302648i −0.0166285 0.0326353i
\(87\) 4.43700 7.68511i 0.475696 0.823930i
\(88\) −0.334128 0.578727i −0.0356182 0.0616925i
\(89\) −1.17583 + 1.81062i −0.124637 + 0.191925i −0.895481 0.445100i \(-0.853168\pi\)
0.770844 + 0.637024i \(0.219835\pi\)
\(90\) −0.0309236 + 0.0425626i −0.00325963 + 0.00448649i
\(91\) −1.16387 + 1.44067i −0.122006 + 0.151023i
\(92\) 8.03967i 0.838193i
\(93\) 6.29111 10.0082i 0.652357 1.03781i
\(94\) 0.0619224 + 0.107253i 0.00638681 + 0.0110623i
\(95\) 0.868098 0.0912408i 0.0890650 0.00936111i
\(96\) −0.129102 0.815116i −0.0131764 0.0831924i
\(97\) −9.81716 0.514495i −0.996781 0.0522391i −0.453038 0.891491i \(-0.649660\pi\)
−0.543743 + 0.839252i \(0.682993\pi\)
\(98\) 0.210908 0.0565127i 0.0213050 0.00570864i
\(99\) −5.49665 + 5.49665i −0.552434 + 0.552434i
\(100\) −5.13802 5.70634i −0.513802 0.570634i
\(101\) −5.18967 4.67280i −0.516391 0.464961i 0.369250 0.929330i \(-0.379614\pi\)
−0.885642 + 0.464369i \(0.846281\pi\)
\(102\) 0.387493 0.0203077i 0.0383676 0.00201076i
\(103\) 1.78644 + 2.45883i 0.176023 + 0.242275i 0.887908 0.460021i \(-0.152158\pi\)
−0.711885 + 0.702296i \(0.752158\pi\)
\(104\) −0.416179 + 0.212662i −0.0408097 + 0.0208532i
\(105\) −0.690023 0.949735i −0.0673394 0.0926847i
\(106\) 0.309479 0.250611i 0.0300592 0.0243415i
\(107\) 6.34986 7.05223i 0.613864 0.681765i −0.353419 0.935465i \(-0.614981\pi\)
0.967283 + 0.253700i \(0.0816477\pi\)
\(108\) 5.78539 2.57582i 0.556699 0.247858i
\(109\) 12.2794 1.94486i 1.17615 0.186284i 0.462391 0.886676i \(-0.346992\pi\)
0.713758 + 0.700393i \(0.246992\pi\)
\(110\) −0.0979680 0.150857i −0.00934088 0.0143837i
\(111\) −2.32828 0.893745i −0.220991 0.0848305i
\(112\) 2.02618 + 0.320915i 0.191456 + 0.0303236i
\(113\) −7.67640 8.52551i −0.722135 0.802012i 0.264599 0.964359i \(-0.414761\pi\)
−0.986734 + 0.162346i \(0.948094\pi\)
\(114\) −0.0509835 0.0226993i −0.00477504 0.00212598i
\(115\) −0.226576 4.32333i −0.0211283 0.403153i
\(116\) 2.58178 + 7.94590i 0.239712 + 0.737759i
\(117\) 3.64247 + 4.03595i 0.336746 + 0.373123i
\(118\) 0.277315 0.0255289
\(119\) −0.749577 + 2.79746i −0.0687136 + 0.256443i
\(120\) −0.0615921 0.289768i −0.00562257 0.0264521i
\(121\) −6.33603 14.2310i −0.576003 1.29372i
\(122\) −0.167075 0.0264620i −0.0151262 0.00239576i
\(123\) 2.98761 0.800528i 0.269384 0.0721812i
\(124\) 3.03914 + 10.7067i 0.272923 + 0.961490i
\(125\) −6.72947 6.72947i −0.601902 0.601902i
\(126\) 0.00262428 + 0.0249684i 0.000233789 + 0.00222436i
\(127\) 0.780721 7.42807i 0.0692778 0.659134i −0.903689 0.428189i \(-0.859152\pi\)
0.972967 0.230945i \(-0.0741817\pi\)
\(128\) 0.868779 + 0.564192i 0.0767899 + 0.0498680i
\(129\) 22.2486i 1.95888i
\(130\) −0.108875 + 0.0630274i −0.00954895 + 0.00552787i
\(131\) −4.20521 + 12.9423i −0.367411 + 1.13077i 0.581047 + 0.813870i \(0.302643\pi\)
−0.948458 + 0.316904i \(0.897357\pi\)
\(132\) −1.14510 21.8499i −0.0996685 1.90179i
\(133\) 0.278721 0.309552i 0.0241682 0.0268415i
\(134\) −0.401366 + 0.0421853i −0.0346728 + 0.00364425i
\(135\) 3.03850 1.54819i 0.261512 0.133247i
\(136\) −0.459932 + 0.567969i −0.0394388 + 0.0487029i
\(137\) −7.09584 + 18.4853i −0.606238 + 1.57931i 0.194898 + 0.980824i \(0.437562\pi\)
−0.801137 + 0.598482i \(0.795771\pi\)
\(138\) −0.125662 + 0.246626i −0.0106971 + 0.0209942i
\(139\) 3.15529 + 7.08690i 0.267628 + 0.601103i 0.996504 0.0835430i \(-0.0266236\pi\)
−0.728876 + 0.684646i \(0.759957\pi\)
\(140\) 1.09920 + 0.115531i 0.0928994 + 0.00976412i
\(141\) 0.424545 + 8.10080i 0.0357531 + 0.682210i
\(142\) −0.105435 + 0.145119i −0.00884793 + 0.0121781i
\(143\) −17.3456 + 6.68143i −1.45051 + 0.558730i
\(144\) 1.86085 5.72711i 0.155071 0.477259i
\(145\) 1.61229 + 4.20015i 0.133893 + 0.348804i
\(146\) 0.0774505 + 0.0697367i 0.00640985 + 0.00577145i
\(147\) 13.9894 + 2.97354i 1.15383 + 0.245254i
\(148\) 2.09210 1.06598i 0.171970 0.0876229i
\(149\) 2.39019 + 8.92032i 0.195812 + 0.730781i 0.992055 + 0.125804i \(0.0401510\pi\)
−0.796243 + 0.604977i \(0.793182\pi\)
\(150\) 0.0684229 + 0.255358i 0.00558671 + 0.0208499i
\(151\) −9.63283 18.9055i −0.783908 1.53851i −0.841556 0.540170i \(-0.818360\pi\)
0.0576480 0.998337i \(-0.481640\pi\)
\(152\) 0.0960265 0.0427538i 0.00778878 0.00346779i
\(153\) 7.76644 + 3.45784i 0.627879 + 0.279550i
\(154\) −0.0829133 0.0222165i −0.00668134 0.00179026i
\(155\) 1.93604 + 5.67188i 0.155506 + 0.455576i
\(156\) −15.3023 + 0.0177485i −1.22517 + 0.00142102i
\(157\) 10.7247 7.79195i 0.855924 0.621865i −0.0708489 0.997487i \(-0.522571\pi\)
0.926773 + 0.375622i \(0.122571\pi\)
\(158\) 0.371734 0.301024i 0.0295736 0.0239482i
\(159\) 25.5140 5.42316i 2.02339 0.430085i
\(160\) 0.362346 + 0.209201i 0.0286460 + 0.0165388i
\(161\) −1.46084 1.46084i −0.115131 0.115131i
\(162\) −0.364161 0.0190848i −0.0286112 0.00149945i
\(163\) −9.98410 15.3742i −0.782015 1.20420i −0.974827 0.222961i \(-0.928428\pi\)
0.192813 0.981236i \(-0.438239\pi\)
\(164\) −1.32204 + 2.59465i −0.103234 + 0.202608i
\(165\) −1.23156 11.7175i −0.0958768 0.912207i
\(166\) 0.339293 0.0721190i 0.0263343 0.00559752i
\(167\) −18.4000 + 7.06309i −1.42383 + 0.546558i −0.943749 0.330664i \(-0.892727\pi\)
−0.480085 + 0.877222i \(0.659394\pi\)
\(168\) −0.114369 0.0830941i −0.00882377 0.00641085i
\(169\) 4.04589 + 12.3544i 0.311222 + 0.950337i
\(170\) −0.115631 + 0.159152i −0.00886846 + 0.0122064i
\(171\) −0.769490 0.950241i −0.0588443 0.0726667i
\(172\) 15.5666 + 14.0162i 1.18694 + 1.06873i
\(173\) 7.36389 + 16.5396i 0.559866 + 1.25748i 0.942693 + 0.333661i \(0.108284\pi\)
−0.382827 + 0.923820i \(0.625049\pi\)
\(174\) 0.0449977 0.284104i 0.00341127 0.0215379i
\(175\) −1.97047 0.103268i −0.148954 0.00780633i
\(176\) 16.0006 + 12.9570i 1.20609 + 0.976674i
\(177\) 16.1845 + 8.24642i 1.21650 + 0.619839i
\(178\) −0.0145496 + 0.0684507i −0.00109054 + 0.00513059i
\(179\) −11.1127 + 2.36209i −0.830606 + 0.176551i −0.603544 0.797330i \(-0.706245\pi\)
−0.227062 + 0.973880i \(0.572912\pi\)
\(180\) 0.839712 3.13385i 0.0625884 0.233583i
\(181\) 12.3315 0.916593 0.458296 0.888799i \(-0.348460\pi\)
0.458296 + 0.888799i \(0.348460\pi\)
\(182\) −0.0184851 + 0.0571166i −0.00137021 + 0.00423377i
\(183\) −8.96384 6.51261i −0.662626 0.481426i
\(184\) −0.186831 0.486712i −0.0137734 0.0358809i
\(185\) 1.09499 0.632191i 0.0805050 0.0464796i
\(186\) 0.0741195 0.375944i 0.00543471 0.0275655i
\(187\) −20.5533 + 20.5533i −1.50301 + 1.50301i
\(188\) −5.93531 4.80632i −0.432877 0.350537i
\(189\) 0.583193 1.51927i 0.0424211 0.110511i
\(190\) 0.0252101 0.0128452i 0.00182893 0.000931886i
\(191\) −2.65763 + 4.60315i −0.192299 + 0.333072i −0.946012 0.324132i \(-0.894928\pi\)
0.753712 + 0.657204i \(0.228261\pi\)
\(192\) 8.46591 + 14.6634i 0.610974 + 1.05824i
\(193\) −0.629747 0.408963i −0.0453302 0.0294378i 0.521775 0.853083i \(-0.325270\pi\)
−0.567105 + 0.823645i \(0.691937\pi\)
\(194\) −0.303058 + 0.0984696i −0.0217583 + 0.00706970i
\(195\) −8.22833 + 0.440799i −0.589243 + 0.0315663i
\(196\) −10.8936 + 7.91465i −0.778113 + 0.565332i
\(197\) 15.5566 + 10.1026i 1.10836 + 0.719777i 0.962973 0.269598i \(-0.0868907\pi\)
0.145387 + 0.989375i \(0.453557\pi\)
\(198\) −0.102486 + 0.230188i −0.00728337 + 0.0163587i
\(199\) 7.73679 3.44464i 0.548447 0.244184i −0.113756 0.993509i \(-0.536288\pi\)
0.662203 + 0.749324i \(0.269622\pi\)
\(200\) −0.443658 0.226055i −0.0313713 0.0159845i
\(201\) −24.6788 9.47330i −1.74071 0.668195i
\(202\) −0.211328 0.0811211i −0.0148690 0.00570766i
\(203\) 1.91293 + 0.974686i 0.134261 + 0.0684096i
\(204\) −21.8602 + 9.73277i −1.53052 + 0.681430i
\(205\) −0.637804 + 1.43253i −0.0445462 + 0.100052i
\(206\) 0.0826228 + 0.0536559i 0.00575660 + 0.00373838i
\(207\) −4.90623 + 3.56459i −0.341007 + 0.247756i
\(208\) 9.62271 10.7121i 0.667215 0.742748i
\(209\) 3.97596 1.29187i 0.275023 0.0893603i
\(210\) −0.0319135 0.0207249i −0.00220224 0.00143015i
\(211\) 3.74581 + 6.48794i 0.257872 + 0.446648i 0.965672 0.259765i \(-0.0836453\pi\)
−0.707799 + 0.706414i \(0.750312\pi\)
\(212\) −12.2790 + 21.2678i −0.843322 + 1.46068i
\(213\) −10.4687 + 5.33408i −0.717305 + 0.365485i
\(214\) 0.110235 0.287173i 0.00753553 0.0196307i
\(215\) 8.76594 + 7.09852i 0.597832 + 0.484115i
\(216\) 0.290382 0.290382i 0.0197580 0.0197580i
\(217\) 2.49768 + 1.39323i 0.169554 + 0.0945786i
\(218\) 0.348999 0.201495i 0.0236372 0.0136470i
\(219\) 2.44639 + 6.37306i 0.165312 + 0.430652i
\(220\) 8.97421 + 6.52015i 0.605041 + 0.439588i
\(221\) 13.6201 + 15.0914i 0.916184 + 1.01515i
\(222\) −0.0808393 −0.00542558
\(223\) −1.55735 + 5.81213i −0.104288 + 0.389209i −0.998263 0.0589076i \(-0.981238\pi\)
0.893975 + 0.448116i \(0.147905\pi\)
\(224\) 0.195300 0.0415123i 0.0130490 0.00277366i
\(225\) −1.20425 + 5.66554i −0.0802832 + 0.377703i
\(226\) −0.331334 0.168823i −0.0220400 0.0112299i
\(227\) 5.36747 + 4.34649i 0.356251 + 0.288487i 0.790692 0.612214i \(-0.209721\pi\)
−0.434441 + 0.900700i \(0.643054\pi\)
\(228\) 3.43690 + 0.180120i 0.227614 + 0.0119288i
\(229\) −0.471750 + 2.97851i −0.0311741 + 0.196826i −0.998360 0.0572432i \(-0.981769\pi\)
0.967186 + 0.254069i \(0.0817689\pi\)
\(230\) −0.0570776 0.128198i −0.00376359 0.00845316i
\(231\) −4.17830 3.76216i −0.274912 0.247532i
\(232\) 0.340950 + 0.421039i 0.0223845 + 0.0276426i
\(233\) −13.3861 + 18.4244i −0.876953 + 1.20702i 0.100303 + 0.994957i \(0.468019\pi\)
−0.977256 + 0.212065i \(0.931981\pi\)
\(234\) 0.157109 + 0.0798217i 0.0102705 + 0.00521811i
\(235\) −3.32717 2.41733i −0.217041 0.157689i
\(236\) −15.9657 + 6.12866i −1.03928 + 0.398942i
\(237\) 30.6464 6.51410i 1.99070 0.423136i
\(238\) 0.00981281 + 0.0933626i 0.000636070 + 0.00605180i
\(239\) 2.73957 5.37671i 0.177208 0.347790i −0.785269 0.619155i \(-0.787475\pi\)
0.962476 + 0.271365i \(0.0874751\pi\)
\(240\) 4.97102 + 7.65471i 0.320878 + 0.494109i
\(241\) −5.75000 0.301345i −0.370390 0.0194113i −0.133767 0.991013i \(-0.542707\pi\)
−0.236623 + 0.971601i \(0.576041\pi\)
\(242\) −0.357049 0.357049i −0.0229520 0.0229520i
\(243\) −12.4545 7.19058i −0.798953 0.461276i
\(244\) 10.2037 2.16887i 0.653226 0.138848i
\(245\) −5.63497 + 4.56311i −0.360005 + 0.291527i
\(246\) 0.0811104 0.0589301i 0.00517141 0.00375725i
\(247\) −0.760011 2.82330i −0.0483584 0.179642i
\(248\) 0.432796 + 0.577545i 0.0274826 + 0.0366742i
\(249\) 21.9463 + 5.88048i 1.39079 + 0.372660i
\(250\) −0.281815 0.125472i −0.0178236 0.00793556i
\(251\) −1.94494 + 0.865943i −0.122764 + 0.0546578i −0.467199 0.884152i \(-0.654737\pi\)
0.344436 + 0.938810i \(0.388070\pi\)
\(252\) −0.702887 1.37949i −0.0442777 0.0869000i
\(253\) −5.36650 20.0281i −0.337389 1.25915i
\(254\) −0.0626608 0.233853i −0.00393169 0.0146733i
\(255\) −11.4810 + 5.84987i −0.718969 + 0.366333i
\(256\) −15.5682 3.30912i −0.973013 0.206820i
\(257\) −13.0559 11.7556i −0.814407 0.733295i 0.152533 0.988298i \(-0.451257\pi\)
−0.966940 + 0.255003i \(0.917924\pi\)
\(258\) −0.258446 0.673275i −0.0160901 0.0419162i
\(259\) 0.186451 0.573838i 0.0115855 0.0356566i
\(260\) 4.87529 6.03478i 0.302353 0.374261i
\(261\) 3.70432 5.09856i 0.229291 0.315593i
\(262\) 0.0230857 + 0.440502i 0.00142624 + 0.0272143i
\(263\) 12.6991 + 1.33473i 0.783062 + 0.0823032i 0.487618 0.873057i \(-0.337866\pi\)
0.295444 + 0.955360i \(0.404532\pi\)
\(264\) −0.577086 1.29616i −0.0355172 0.0797729i
\(265\) −6.00364 + 11.7828i −0.368800 + 0.723811i
\(266\) 0.00483868 0.0126052i 0.000296679 0.000772874i
\(267\) −2.88463 + 3.56223i −0.176537 + 0.218005i
\(268\) 22.1754 11.2989i 1.35458 0.690191i
\(269\) 18.9465 1.99136i 1.15519 0.121415i 0.492501 0.870312i \(-0.336083\pi\)
0.662687 + 0.748897i \(0.269416\pi\)
\(270\) 0.0739653 0.0821467i 0.00450138 0.00499929i
\(271\) −1.68871 32.2226i −0.102582 1.95738i −0.249849 0.968285i \(-0.580381\pi\)
0.147267 0.989097i \(-0.452952\pi\)
\(272\) 6.95817 21.4150i 0.421901 1.29848i
\(273\) −2.77728 + 2.78373i −0.168088 + 0.168479i
\(274\) 0.641820i 0.0387737i
\(275\) −16.6086 10.7858i −1.00154 0.650405i
\(276\) 1.78425 16.9760i 0.107399 1.02184i
\(277\) −1.31088 12.4722i −0.0787630 0.749380i −0.960620 0.277864i \(-0.910374\pi\)
0.881858 0.471516i \(-0.156293\pi\)
\(278\) 0.177807 + 0.177807i 0.0106642 + 0.0106642i
\(279\) 5.18632 6.60173i 0.310497 0.395235i
\(280\) 0.0692291 0.0185499i 0.00413723 0.00110857i
\(281\) 8.75826 + 1.38717i 0.522474 + 0.0827518i 0.412101 0.911138i \(-0.364795\pi\)
0.110374 + 0.993890i \(0.464795\pi\)
\(282\) 0.106949 + 0.240211i 0.00636870 + 0.0143043i
\(283\) 5.72562 + 26.9369i 0.340353 + 1.60123i 0.732125 + 0.681171i \(0.238529\pi\)
−0.391772 + 0.920062i \(0.628138\pi\)
\(284\) 2.86304 10.6850i 0.169890 0.634038i
\(285\) 1.85327 0.109778
\(286\) −0.447289 + 0.403681i −0.0264488 + 0.0238702i
\(287\) 0.231239 + 0.711681i 0.0136496 + 0.0420092i
\(288\) −0.0306740 0.585294i −0.00180748 0.0344888i
\(289\) 13.5103 + 6.01517i 0.794723 + 0.353833i
\(290\) 0.0975804 + 0.108374i 0.00573012 + 0.00636394i
\(291\) −20.6151 3.26511i −1.20848 0.191404i
\(292\) −6.00020 2.30326i −0.351135 0.134788i
\(293\) −2.62639 4.04428i −0.153435 0.236269i 0.753591 0.657343i \(-0.228320\pi\)
−0.907026 + 0.421074i \(0.861653\pi\)
\(294\) 0.457882 0.0725214i 0.0267042 0.00422954i
\(295\) −8.41284 + 3.74564i −0.489815 + 0.218080i
\(296\) 0.101882 0.113151i 0.00592174 0.00657676i
\(297\) 12.6929 10.2785i 0.736519 0.596421i
\(298\) 0.175952 + 0.242177i 0.0101926 + 0.0140289i
\(299\) −14.1809 + 3.03145i −0.820105 + 0.175313i
\(300\) −9.58269 13.1894i −0.553257 0.761493i
\(301\) 5.37533 0.281709i 0.309829 0.0162374i
\(302\) −0.511115 0.460210i −0.0294114 0.0264821i
\(303\) −9.92113 11.0185i −0.569954 0.632998i
\(304\) −2.29001 + 2.29001i −0.131341 + 0.131341i
\(305\) 5.42593 1.45387i 0.310688 0.0832486i
\(306\) 0.275191 + 0.0144222i 0.0157316 + 0.000824460i
\(307\) −1.32302 8.35321i −0.0755086 0.476743i −0.996247 0.0865610i \(-0.972412\pi\)
0.920738 0.390182i \(-0.127588\pi\)
\(308\) 5.26451 0.553322i 0.299973 0.0315285i
\(309\) 3.22644 + 5.58836i 0.183546 + 0.317911i
\(310\) 0.124474 + 0.149150i 0.00706963 + 0.00847114i
\(311\) 4.05673i 0.230036i −0.993363 0.115018i \(-0.963307\pi\)
0.993363 0.115018i \(-0.0366925\pi\)
\(312\) −0.925973 + 0.356680i −0.0524229 + 0.0201930i
\(313\) −6.61905 + 9.11035i −0.374131 + 0.514947i −0.954018 0.299750i \(-0.903097\pi\)
0.579887 + 0.814697i \(0.303097\pi\)
\(314\) 0.234032 0.360377i 0.0132072 0.0203373i
\(315\) −0.416855 0.722014i −0.0234871 0.0406809i
\(316\) −14.7490 + 25.5461i −0.829698 + 1.43708i
\(317\) −7.14445 14.0218i −0.401272 0.787541i 0.598637 0.801020i \(-0.295709\pi\)
−0.999909 + 0.0134794i \(0.995709\pi\)
\(318\) 0.709093 0.460491i 0.0397640 0.0258230i
\(319\) 11.7355 + 18.0711i 0.657064 + 1.01179i
\(320\) −8.47847 1.34286i −0.473961 0.0750680i
\(321\) 14.9731 13.4818i 0.835715 0.752481i
\(322\) −0.0611769 0.0272377i −0.00340926 0.00151790i
\(323\) −2.87730 3.55318i −0.160098 0.197704i
\(324\) 21.3874 6.94919i 1.18819 0.386066i
\(325\) −8.12791 + 11.2144i −0.450855 + 0.622065i
\(326\) −0.480724 0.349267i −0.0266249 0.0193441i
\(327\) 26.3599 1.38146i 1.45771 0.0763952i
\(328\) −0.0197385 + 0.187800i −0.00108988 + 0.0103695i
\(329\) −1.95181 + 0.205143i −0.107607 + 0.0113099i
\(330\) −0.173383 0.340283i −0.00954441 0.0187320i
\(331\) −8.10819 + 10.0128i −0.445666 + 0.550352i −0.949630 0.313373i \(-0.898541\pi\)
0.503964 + 0.863725i \(0.331874\pi\)
\(332\) −17.9401 + 11.6505i −0.984593 + 0.639402i
\(333\) −1.57810 0.804084i −0.0864795 0.0440635i
\(334\) −0.474764 + 0.427479i −0.0259779 + 0.0233906i
\(335\) 11.6064 6.70095i 0.634124 0.366112i
\(336\) 4.20713 + 1.12730i 0.229518 + 0.0614991i
\(337\) 4.71319 14.5057i 0.256744 0.790177i −0.736737 0.676179i \(-0.763634\pi\)
0.993481 0.113997i \(-0.0363656\pi\)
\(338\) 0.265947 + 0.326864i 0.0144656 + 0.0177790i
\(339\) −14.3169 19.7055i −0.777588 1.07026i
\(340\) 3.13988 11.7182i 0.170284 0.635509i
\(341\) 14.7177 + 24.6434i 0.797010 + 1.33452i
\(342\) −0.0343242 0.0198171i −0.00185604 0.00107158i
\(343\) −1.10377 + 6.96895i −0.0595982 + 0.376288i
\(344\) 1.26810 + 0.486779i 0.0683714 + 0.0262453i
\(345\) 0.481059 9.17916i 0.0258994 0.494189i
\(346\) 0.414971 + 0.414971i 0.0223090 + 0.0223090i
\(347\) −21.4867 12.4054i −1.15347 0.665956i −0.203739 0.979025i \(-0.565309\pi\)
−0.949730 + 0.313070i \(0.898643\pi\)
\(348\) 3.68808 + 17.3510i 0.197702 + 0.930113i
\(349\) −8.70062 + 0.455980i −0.465733 + 0.0244080i −0.283760 0.958895i \(-0.591582\pi\)
−0.181974 + 0.983303i \(0.558249\pi\)
\(350\) −0.0608290 + 0.0197645i −0.00325144 + 0.00105646i
\(351\) −6.72486 9.23344i −0.358946 0.492844i
\(352\) 1.90581 + 0.619237i 0.101580 + 0.0330054i
\(353\) 4.14581 + 10.8002i 0.220659 + 0.574837i 0.998566 0.0535435i \(-0.0170516\pi\)
−0.777906 + 0.628380i \(0.783718\pi\)
\(354\) 0.585560 + 0.0615449i 0.0311222 + 0.00327107i
\(355\) 1.23847 5.82655i 0.0657312 0.309241i
\(356\) −0.675101 4.26242i −0.0357803 0.225908i
\(357\) −2.20360 + 5.74058i −0.116627 + 0.303824i
\(358\) −0.308849 + 0.200569i −0.0163232 + 0.0106004i
\(359\) −1.90688 12.0396i −0.100641 0.635425i −0.985514 0.169593i \(-0.945755\pi\)
0.884873 0.465833i \(-0.154245\pi\)
\(360\) −0.0219913 0.209233i −0.00115904 0.0110276i
\(361\) −3.81360 17.9416i −0.200716 0.944294i
\(362\) 0.373169 0.143246i 0.0196133 0.00752885i
\(363\) −10.2205 31.4553i −0.536435 1.65098i
\(364\) −0.198045 3.69687i −0.0103804 0.193769i
\(365\) −3.29152 1.06948i −0.172286 0.0559791i
\(366\) −0.346912 0.0929547i −0.0181334 0.00485882i
\(367\) −20.0023 + 11.5483i −1.04411 + 0.602818i −0.920995 0.389574i \(-0.872622\pi\)
−0.123117 + 0.992392i \(0.539289\pi\)
\(368\) 10.7479 + 11.9367i 0.560271 + 0.622244i
\(369\) 2.16955 0.343624i 0.112942 0.0178883i
\(370\) 0.0257922 0.0318507i 0.00134087 0.00165584i
\(371\) 1.63331 + 6.09560i 0.0847972 + 0.316468i
\(372\) 4.04111 + 23.2821i 0.209522 + 1.20712i
\(373\) −0.142672 + 0.247115i −0.00738726 + 0.0127951i −0.869695 0.493589i \(-0.835685\pi\)
0.862308 + 0.506384i \(0.169018\pi\)
\(374\) −0.383220 + 0.860726i −0.0198158 + 0.0445071i
\(375\) −12.7160 15.7030i −0.656654 0.810900i
\(376\) −0.471010 0.153040i −0.0242905 0.00789245i
\(377\) 13.0421 7.55002i 0.671700 0.388846i
\(378\) 0.0527499i 0.00271316i
\(379\) 11.2330 17.2973i 0.577002 0.888505i −0.422841 0.906204i \(-0.638967\pi\)
0.999843 + 0.0176987i \(0.00563395\pi\)
\(380\) −1.16753 + 1.29667i −0.0598929 + 0.0665178i
\(381\) 3.29704 15.5114i 0.168913 0.794671i
\(382\) −0.0269523 + 0.170170i −0.00137900 + 0.00870666i
\(383\) −0.531874 + 10.1488i −0.0271775 + 0.518577i 0.950792 + 0.309830i \(0.100272\pi\)
−0.977970 + 0.208748i \(0.933061\pi\)
\(384\) 1.70925 + 1.38412i 0.0872246 + 0.0706331i
\(385\) 2.81540 0.445915i 0.143486 0.0227259i
\(386\) −0.0238077 0.00506048i −0.00121178 0.000257572i
\(387\) 1.65161 15.7140i 0.0839559 0.798787i
\(388\) 15.2716 12.3667i 0.775300 0.627826i
\(389\) −3.73035 11.4808i −0.189136 0.582102i 0.810859 0.585242i \(-0.199000\pi\)
−0.999995 + 0.00314017i \(0.999000\pi\)
\(390\) −0.243881 + 0.108922i −0.0123494 + 0.00551547i
\(391\) −18.3456 + 13.3288i −0.927776 + 0.674068i
\(392\) −0.475559 + 0.732297i −0.0240194 + 0.0369866i
\(393\) −11.7517 + 26.3949i −0.592797 + 1.33144i
\(394\) 0.588119 + 0.125009i 0.0296290 + 0.00629784i
\(395\) −7.21135 + 14.1531i −0.362842 + 0.712118i
\(396\) 0.813233 15.5174i 0.0408665 0.779780i
\(397\) 30.6261 8.20623i 1.53708 0.411859i 0.611758 0.791045i \(-0.290462\pi\)
0.925321 + 0.379186i \(0.123796\pi\)
\(398\) 0.194113 0.194113i 0.00973000 0.00973000i
\(399\) 0.657229 0.591772i 0.0329026 0.0296257i
\(400\) 15.2571 + 1.60359i 0.762855 + 0.0801793i
\(401\) 14.7622 5.66669i 0.737191 0.282981i 0.0393415 0.999226i \(-0.487474\pi\)
0.697849 + 0.716245i \(0.254141\pi\)
\(402\) −0.856861 −0.0427364
\(403\) 17.7393 9.39774i 0.883657 0.468135i
\(404\) 13.9594 0.694508
\(405\) 11.3052 4.33968i 0.561762 0.215640i
\(406\) 0.0692103 + 0.00727430i 0.00343485 + 0.000361017i
\(407\) 4.50021 4.05201i 0.223067 0.200850i
\(408\) −1.09721 + 1.09721i −0.0543201 + 0.0543201i
\(409\) −36.1585 + 9.68863i −1.78792 + 0.479072i −0.991990 0.126316i \(-0.959685\pi\)
−0.795931 + 0.605388i \(0.793018\pi\)
\(410\) −0.00266019 + 0.0507595i −0.000131377 + 0.00250683i
\(411\) −19.0856 + 37.4576i −0.941422 + 1.84765i
\(412\) −5.94260 1.26314i −0.292771 0.0622303i
\(413\) −1.78744 + 4.01465i −0.0879540 + 0.197548i
\(414\) −0.107063 + 0.164862i −0.00526184 + 0.00810252i
\(415\) −9.31898 + 6.77063i −0.457451 + 0.332357i
\(416\) 0.500728 1.30898i 0.0245502 0.0641779i
\(417\) 5.08970 + 15.6645i 0.249244 + 0.767094i
\(418\) 0.105312 0.0852797i 0.00515096 0.00417117i
\(419\) 2.20958 21.0227i 0.107945 1.02703i −0.797719 0.603030i \(-0.793960\pi\)
0.905664 0.423997i \(-0.139373\pi\)
\(420\) 2.29536 + 0.487894i 0.112002 + 0.0238068i
\(421\) 6.84193 1.08366i 0.333455 0.0528141i 0.0125381 0.999921i \(-0.496009\pi\)
0.320917 + 0.947107i \(0.396009\pi\)
\(422\) 0.188720 + 0.152822i 0.00918673 + 0.00743926i
\(423\) −0.301505 + 5.75305i −0.0146597 + 0.279723i
\(424\) −0.249119 + 1.57287i −0.0120983 + 0.0763855i
\(425\) −4.50297 + 21.1848i −0.218426 + 1.02761i
\(426\) −0.254837 + 0.283025i −0.0123469 + 0.0137126i
\(427\) 1.45997 2.24816i 0.0706529 0.108796i
\(428\) 18.9694i 0.916923i
\(429\) −38.1086 + 10.2586i −1.83990 + 0.495288i
\(430\) 0.347729 + 0.112984i 0.0167690 + 0.00544857i
\(431\) −8.49414 10.4894i −0.409148 0.505256i 0.530365 0.847770i \(-0.322055\pi\)
−0.939513 + 0.342514i \(0.888722\pi\)
\(432\) −5.14623 + 11.5586i −0.247598 + 0.556114i
\(433\) 11.3237 19.6132i 0.544182 0.942551i −0.454476 0.890759i \(-0.650173\pi\)
0.998658 0.0517917i \(-0.0164932\pi\)
\(434\) 0.0917678 + 0.0131474i 0.00440499 + 0.000631094i
\(435\) 2.47226 + 9.22659i 0.118536 + 0.442381i
\(436\) −15.6397 + 19.3134i −0.749007 + 0.924947i
\(437\) 3.22131 0.510206i 0.154096 0.0244064i
\(438\) 0.148063 + 0.164440i 0.00707471 + 0.00785726i
\(439\) −11.5753 + 6.68301i −0.552460 + 0.318963i −0.750113 0.661309i \(-0.770001\pi\)
0.197654 + 0.980272i \(0.436668\pi\)
\(440\) 0.694808 + 0.186173i 0.0331237 + 0.00887546i
\(441\) 9.65989 + 3.13869i 0.459995 + 0.149461i
\(442\) 0.587469 + 0.298472i 0.0279430 + 0.0141969i
\(443\) −1.28126 3.94331i −0.0608744 0.187352i 0.915995 0.401190i \(-0.131403\pi\)
−0.976869 + 0.213838i \(0.931403\pi\)
\(444\) 4.65412 1.78655i 0.220875 0.0847859i
\(445\) −0.483161 2.27309i −0.0229040 0.107755i
\(446\) 0.0203875 + 0.193974i 0.000965377 + 0.00918494i
\(447\) 3.06728 + 19.3660i 0.145077 + 0.915982i
\(448\) −3.43553 + 2.23106i −0.162314 + 0.105408i
\(449\) 0.315565 0.822076i 0.0148925 0.0387962i −0.925933 0.377689i \(-0.876719\pi\)
0.940825 + 0.338893i \(0.110052\pi\)
\(450\) 0.0293703 + 0.185437i 0.00138453 + 0.00874156i
\(451\) −1.56147 + 7.34615i −0.0735268 + 0.345916i
\(452\) 22.8067 + 2.39708i 1.07274 + 0.112749i
\(453\) −16.1443 42.0574i −0.758527 1.97603i
\(454\) 0.212918 + 0.0691811i 0.00999272 + 0.00324683i
\(455\) −0.210685 1.98241i −0.00987705 0.0929368i
\(456\) 0.212252 0.0689648i 0.00993960 0.00322957i
\(457\) 10.4272 0.546464i 0.487762 0.0255625i 0.193130 0.981173i \(-0.438136\pi\)
0.294632 + 0.955611i \(0.404803\pi\)
\(458\) 0.0203234 + 0.0956141i 0.000949650 + 0.00446775i
\(459\) −15.4692 8.93116i −0.722041 0.416871i
\(460\) 6.11929 + 6.11929i 0.285313 + 0.285313i
\(461\) 1.23057 23.4806i 0.0573132 1.09360i −0.806969 0.590594i \(-0.798894\pi\)
0.864282 0.503007i \(-0.167773\pi\)
\(462\) −0.170144 0.0653121i −0.00791580 0.00303859i
\(463\) 5.54288 34.9964i 0.257600 1.62642i −0.431752 0.901993i \(-0.642104\pi\)
0.689351 0.724427i \(-0.257896\pi\)
\(464\) −14.4558 8.34604i −0.671092 0.387455i
\(465\) 2.82925 + 12.4060i 0.131203 + 0.575316i
\(466\) −0.191060 + 0.713046i −0.00885069 + 0.0330312i
\(467\) 0.942298 + 1.29696i 0.0436044 + 0.0600163i 0.830262 0.557373i \(-0.188191\pi\)
−0.786658 + 0.617389i \(0.788191\pi\)
\(468\) −10.8092 1.12342i −0.499657 0.0519302i
\(469\) 1.97630 6.08243i 0.0912571 0.280861i
\(470\) −0.128766 0.0345026i −0.00593951 0.00159149i
\(471\) 24.3749 14.0728i 1.12313 0.648442i
\(472\) −0.824124 + 0.742044i −0.0379334 + 0.0341554i
\(473\) 48.1346 + 24.5258i 2.21323 + 1.12770i
\(474\) 0.851737 0.553124i 0.0391216 0.0254058i
\(475\) 1.96034 2.42082i 0.0899465 0.111075i
\(476\) −2.62826 5.15826i −0.120466 0.236428i
\(477\) 18.4229 1.93633i 0.843527 0.0886583i
\(478\) 0.0204460 0.194531i 0.000935178 0.00889763i
\(479\) −41.9598 + 2.19902i −1.91719 + 0.100476i −0.973265 0.229684i \(-0.926231\pi\)
−0.943925 + 0.330159i \(0.892897\pi\)
\(480\) 0.718679 + 0.522151i 0.0328031 + 0.0238328i
\(481\) −2.66910 3.28826i −0.121701 0.149932i
\(482\) −0.177504 + 0.0576746i −0.00808509 + 0.00262701i
\(483\) −2.76042 3.40883i −0.125603 0.155107i
\(484\) 28.4470 + 12.6654i 1.29304 + 0.575700i
\(485\) 7.86380 7.08060i 0.357077 0.321514i
\(486\) −0.460418 0.0729230i −0.0208850 0.00330786i
\(487\) −13.5746 20.9031i −0.615124 0.947209i −0.999709 0.0241189i \(-0.992322\pi\)
0.384585 0.923090i \(-0.374345\pi\)
\(488\) 0.567320 0.368422i 0.0256814 0.0166777i
\(489\) −17.6698 34.6789i −0.799054 1.56823i
\(490\) −0.117516 + 0.203544i −0.00530884 + 0.00919518i
\(491\) −16.0424 27.7863i −0.723985 1.25398i −0.959390 0.282081i \(-0.908975\pi\)
0.235406 0.971897i \(-0.424358\pi\)
\(492\) −3.36737 + 5.18529i −0.151813 + 0.233771i
\(493\) 13.8513 19.0647i 0.623832 0.858631i
\(494\) −0.0557953 0.0766087i −0.00251035 0.00344679i
\(495\) 8.36741i 0.376087i
\(496\) −18.8256 11.8336i −0.845294 0.531346i
\(497\) −1.42129 2.46174i −0.0637534 0.110424i
\(498\) 0.732436 0.0769821i 0.0328212 0.00344965i
\(499\) 0.604206 + 3.81480i 0.0270480 + 0.170774i 0.997514 0.0704617i \(-0.0224473\pi\)
−0.970467 + 0.241236i \(0.922447\pi\)
\(500\) 18.9978 + 0.995630i 0.849605 + 0.0445259i
\(501\) −40.4197 + 10.8304i −1.80582 + 0.483868i
\(502\) −0.0487977 + 0.0487977i −0.00217795 + 0.00217795i
\(503\) −3.53741 3.92870i −0.157726 0.175172i 0.659103 0.752053i \(-0.270936\pi\)
−0.816828 + 0.576881i \(0.804270\pi\)
\(504\) −0.0746096 0.0671788i −0.00332338 0.00299238i
\(505\) 7.50669 0.393409i 0.334043 0.0175065i
\(506\) −0.395050 0.543740i −0.0175621 0.0241722i
\(507\) 5.80122 + 26.9846i 0.257641 + 1.19843i
\(508\) 8.77570 + 12.0787i 0.389359 + 0.535906i
\(509\) 32.8762 26.6226i 1.45721 1.18003i 0.509679 0.860365i \(-0.329764\pi\)
0.947532 0.319661i \(-0.103569\pi\)
\(510\) −0.279479 + 0.310393i −0.0123755 + 0.0137444i
\(511\) −1.50878 + 0.671751i −0.0667444 + 0.0297165i
\(512\) −2.55585 + 0.404807i −0.112954 + 0.0178901i
\(513\) 1.39922 + 2.15461i 0.0617770 + 0.0951283i
\(514\) −0.531649 0.204081i −0.0234500 0.00900162i
\(515\) −3.23123 0.511777i −0.142385 0.0225516i
\(516\) 29.7588 + 33.0504i 1.31006 + 1.45496i
\(517\) −17.9940 8.01146i −0.791376 0.352344i
\(518\) −0.00102358 0.0195311i −4.49735e−5 0.000858146i
\(519\) 11.8785 + 36.5582i 0.521407 + 1.60473i
\(520\) 0.154904 0.478634i 0.00679300 0.0209895i
\(521\) −6.54080 −0.286558 −0.143279 0.989682i \(-0.545765\pi\)
−0.143279 + 0.989682i \(0.545765\pi\)
\(522\) 0.0528718 0.197320i 0.00231414 0.00863647i
\(523\) −0.498928 2.34727i −0.0218166 0.102639i 0.965892 0.258945i \(-0.0833748\pi\)
−0.987709 + 0.156306i \(0.950041\pi\)
\(524\) −11.0642 24.8506i −0.483342 1.08560i
\(525\) −4.13780 0.655363i −0.180588 0.0286024i
\(526\) 0.399799 0.107126i 0.0174321 0.00467091i
\(527\) 19.3929 24.6854i 0.844767 1.07531i
\(528\) 30.9103 + 30.9103i 1.34520 + 1.34520i
\(529\) 0.713297 + 6.78657i 0.0310129 + 0.295068i
\(530\) −0.0448064 + 0.426305i −0.00194627 + 0.0185175i
\(531\) 10.8188 + 7.02583i 0.469497 + 0.304895i
\(532\) 0.832648i 0.0360999i
\(533\) 5.07512 + 1.35357i 0.219828 + 0.0586295i
\(534\) −0.0459134 + 0.141307i −0.00198687 + 0.00611495i
\(535\) 0.534603 + 10.2008i 0.0231129 + 0.441020i
\(536\) 1.07990 1.19935i 0.0466445 0.0518040i
\(537\) −23.9892 + 2.52136i −1.03521 + 0.108805i
\(538\) 0.550217 0.280349i 0.0237215 0.0120867i
\(539\) −21.8546 + 26.9881i −0.941343 + 1.16246i
\(540\) −2.44292 + 6.36403i −0.105127 + 0.273864i
\(541\) −12.0097 + 23.5703i −0.516337 + 1.01337i 0.474746 + 0.880123i \(0.342540\pi\)
−0.991083 + 0.133246i \(0.957460\pi\)
\(542\) −0.425410 0.955486i −0.0182729 0.0410416i
\(543\) 26.0384 + 2.73674i 1.11741 + 0.117445i
\(544\) −0.114697 2.18855i −0.00491760 0.0938335i
\(545\) −7.86597 + 10.8266i −0.336941 + 0.463760i
\(546\) −0.0517079 + 0.116501i −0.00221290 + 0.00498580i
\(547\) −3.48465 + 10.7247i −0.148993 + 0.458553i −0.997503 0.0706263i \(-0.977500\pi\)
0.848510 + 0.529180i \(0.177500\pi\)
\(548\) −14.1842 36.9512i −0.605920 1.57848i
\(549\) −5.84764 5.26523i −0.249571 0.224715i
\(550\) −0.627891 0.133462i −0.0267734 0.00569086i
\(551\) −3.01990 + 1.53872i −0.128652 + 0.0655515i
\(552\) −0.286484 1.06917i −0.0121936 0.0455071i
\(553\) 1.96187 + 7.32181i 0.0834273 + 0.311355i
\(554\) −0.184549 0.362199i −0.00784075 0.0153883i
\(555\) 2.45241 1.09188i 0.104099 0.0463478i
\(556\) −14.1663 6.30726i −0.600787 0.267488i
\(557\) 18.0990 + 4.84961i 0.766879 + 0.205485i 0.620992 0.783817i \(-0.286730\pi\)
0.145887 + 0.989301i \(0.453396\pi\)
\(558\) 0.0802580 0.260024i 0.00339759 0.0110077i
\(559\) 18.8532 32.7424i 0.797407 1.38486i
\(560\) −1.78646 + 1.29794i −0.0754918 + 0.0548480i
\(561\) −47.9604 + 38.8376i −2.02489 + 1.63972i
\(562\) 0.281152 0.0597607i 0.0118597 0.00252085i
\(563\) 5.95755 + 3.43959i 0.251081 + 0.144962i 0.620259 0.784397i \(-0.287027\pi\)
−0.369178 + 0.929359i \(0.620361\pi\)
\(564\) −11.4660 11.4660i −0.482804 0.482804i
\(565\) 12.3319 + 0.646286i 0.518806 + 0.0271895i
\(566\) 0.486173 + 0.748640i 0.0204354 + 0.0314677i
\(567\) 2.62349 5.14889i 0.110176 0.216233i
\(568\) −0.0749804 0.713391i −0.00314611 0.0299332i
\(569\) −39.8311 + 8.46636i −1.66981 + 0.354928i −0.943226 0.332153i \(-0.892225\pi\)
−0.726581 + 0.687081i \(0.758892\pi\)
\(570\) 0.0560827 0.0215281i 0.00234905 0.000901714i
\(571\) −3.79407 2.75655i −0.158777 0.115358i 0.505560 0.862791i \(-0.331286\pi\)
−0.664337 + 0.747433i \(0.731286\pi\)
\(572\) 16.8302 33.1260i 0.703706 1.38507i
\(573\) −6.63327 + 9.12991i −0.277109 + 0.381407i
\(574\) 0.0152647 + 0.0188504i 0.000637138 + 0.000786800i
\(575\) −11.4813 10.3378i −0.478805 0.431118i
\(576\) 4.89088 + 10.9851i 0.203787 + 0.457712i
\(577\) 6.62903 41.8541i 0.275970 1.74241i −0.327346 0.944905i \(-0.606154\pi\)
0.603316 0.797502i \(-0.293846\pi\)
\(578\) 0.478715 + 0.0250884i 0.0199119 + 0.00104354i
\(579\) −1.23897 1.00330i −0.0514899 0.0416957i
\(580\) −8.01301 4.08283i −0.332722 0.169530i
\(581\) −1.14286 + 5.37675i −0.0474140 + 0.223065i
\(582\) −0.661772 + 0.140664i −0.0274313 + 0.00583071i
\(583\) −16.3925 + 61.1776i −0.678907 + 2.53372i
\(584\) −0.416770 −0.0172461
\(585\) −5.84433 0.299491i −0.241633 0.0123824i
\(586\) −0.126458 0.0918770i −0.00522393 0.00379540i
\(587\) 14.5967 + 38.0256i 0.602469 + 1.56949i 0.806953 + 0.590616i \(0.201115\pi\)
−0.204484 + 0.978870i \(0.565552\pi\)
\(588\) −24.7587 + 14.2944i −1.02103 + 0.589493i
\(589\) −4.09706 + 1.89717i −0.168817 + 0.0781717i
\(590\) −0.211075 + 0.211075i −0.00868981 + 0.00868981i
\(591\) 30.6062 + 24.7844i 1.25897 + 1.01949i
\(592\) −1.68114 + 4.37952i −0.0690945 + 0.179997i
\(593\) 33.3084 16.9715i 1.36781 0.696936i 0.392913 0.919576i \(-0.371467\pi\)
0.974901 + 0.222640i \(0.0714674\pi\)
\(594\) 0.264708 0.458488i 0.0108611 0.0188120i
\(595\) −1.55872 2.69978i −0.0639013 0.110680i
\(596\) −15.4821 10.0542i −0.634171 0.411836i
\(597\) 17.1010 5.55645i 0.699897 0.227410i
\(598\) −0.393922 + 0.256466i −0.0161087 + 0.0104877i
\(599\) 8.60961 6.25524i 0.351779 0.255582i −0.397836 0.917457i \(-0.630239\pi\)
0.749615 + 0.661874i \(0.230239\pi\)
\(600\) −0.886630 0.575784i −0.0361965 0.0235063i
\(601\) −5.90542 + 13.2638i −0.240887 + 0.541041i −0.993017 0.117974i \(-0.962360\pi\)
0.752130 + 0.659015i \(0.229027\pi\)
\(602\) 0.159393 0.0709664i 0.00649638 0.00289237i
\(603\) −16.7272 8.52293i −0.681184 0.347081i
\(604\) 39.5968 + 15.1998i 1.61117 + 0.618471i
\(605\) 15.6543 + 6.00912i 0.636438 + 0.244306i
\(606\) −0.428223 0.218190i −0.0173954 0.00886337i
\(607\) −0.880711 + 0.392118i −0.0357470 + 0.0159156i −0.424532 0.905413i \(-0.639561\pi\)
0.388785 + 0.921328i \(0.372895\pi\)
\(608\) −0.128205 + 0.287953i −0.00519940 + 0.0116781i
\(609\) 3.82291 + 2.48262i 0.154912 + 0.100601i
\(610\) 0.147308 0.107026i 0.00596433 0.00433334i
\(611\) −6.23976 + 12.2814i −0.252434 + 0.496853i
\(612\) −16.1622 + 5.25141i −0.653317 + 0.212276i
\(613\) 21.6333 + 14.0488i 0.873761 + 0.567427i 0.901787 0.432180i \(-0.142255\pi\)
−0.0280261 + 0.999607i \(0.508922\pi\)
\(614\) −0.137070 0.237412i −0.00553169 0.00958116i
\(615\) −1.66467 + 2.88329i −0.0671260 + 0.116266i
\(616\) 0.305849 0.155838i 0.0123230 0.00627888i
\(617\) 13.3003 34.6484i 0.535450 1.39489i −0.352872 0.935672i \(-0.614795\pi\)
0.888321 0.459222i \(-0.151872\pi\)
\(618\) 0.162553 + 0.131633i 0.00653884 + 0.00529505i
\(619\) −29.6955 + 29.6955i −1.19356 + 1.19356i −0.217503 + 0.976060i \(0.569791\pi\)
−0.976060 + 0.217503i \(0.930209\pi\)
\(620\) −10.4625 5.83606i −0.420183 0.234382i
\(621\) 11.0349 6.37099i 0.442814 0.255659i
\(622\) −0.0471241 0.122763i −0.00188950 0.00492233i
\(623\) −0.897171 0.651833i −0.0359444 0.0261151i
\(624\) 22.6960 20.4833i 0.908569 0.819989i
\(625\) −8.96259 −0.358504
\(626\) −0.0944739 + 0.352581i −0.00377594 + 0.0140920i
\(627\) 8.68208 1.84543i 0.346729 0.0736995i
\(628\) −5.50945 + 25.9199i −0.219851 + 1.03432i
\(629\) −5.90090 3.00666i −0.235284 0.119883i
\(630\) −0.0210018 0.0170069i −0.000836731 0.000677571i
\(631\) −9.39100 0.492161i −0.373850 0.0195926i −0.135514 0.990775i \(-0.543269\pi\)
−0.238336 + 0.971183i \(0.576602\pi\)
\(632\) −0.299232 + 1.88928i −0.0119028 + 0.0751514i
\(633\) 6.46954 + 14.5308i 0.257141 + 0.577548i
\(634\) −0.379083 0.341327i −0.0150553 0.0135558i
\(635\) 5.05954 + 6.24801i 0.200782 + 0.247945i
\(636\) −30.6474 + 42.1826i −1.21525 + 1.67265i
\(637\) 18.0680 + 16.2306i 0.715879 + 0.643079i
\(638\) 0.565054 + 0.410536i 0.0223707 + 0.0162533i
\(639\) −7.78995 + 2.99028i −0.308166 + 0.118294i
\(640\) −1.09069 + 0.231833i −0.0431132 + 0.00916399i
\(641\) −0.392965 3.73881i −0.0155212 0.147674i 0.984017 0.178077i \(-0.0569876\pi\)
−0.999538 + 0.0304029i \(0.990321\pi\)
\(642\) 0.296498 0.581911i 0.0117019 0.0229662i
\(643\) 11.1658 + 17.1939i 0.440337 + 0.678060i 0.987259 0.159124i \(-0.0508670\pi\)
−0.546921 + 0.837184i \(0.684200\pi\)
\(644\) 4.12406 + 0.216133i 0.162511 + 0.00851683i
\(645\) 16.9342 + 16.9342i 0.666784 + 0.666784i
\(646\) −0.128346 0.0741007i −0.00504971 0.00291545i
\(647\) −9.54211 + 2.02824i −0.375139 + 0.0797383i −0.391623 0.920126i \(-0.628086\pi\)
0.0164837 + 0.999864i \(0.494753\pi\)
\(648\) 1.13328 0.917712i 0.0445194 0.0360511i
\(649\) −35.6822 + 25.9246i −1.40065 + 1.01763i
\(650\) −0.115692 + 0.433782i −0.00453783 + 0.0170143i
\(651\) 4.96475 + 3.49617i 0.194584 + 0.137026i
\(652\) 35.3953 + 9.48414i 1.38619 + 0.371428i
\(653\) −0.773490 0.344380i −0.0302690 0.0134766i 0.391546 0.920158i \(-0.371940\pi\)
−0.421815 + 0.906682i \(0.638607\pi\)
\(654\) 0.781642 0.348010i 0.0305646 0.0136083i
\(655\) −6.65013 13.0516i −0.259842 0.509969i
\(656\) −1.50580 5.61973i −0.0587916 0.219413i
\(657\) 1.25477 + 4.68285i 0.0489531 + 0.182695i
\(658\) −0.0566815 + 0.0288807i −0.00220968 + 0.00112589i
\(659\) −35.3004 7.50333i −1.37511 0.292288i −0.539672 0.841875i \(-0.681452\pi\)
−0.835437 + 0.549587i \(0.814785\pi\)
\(660\) 17.5023 + 15.7592i 0.681278 + 0.613425i
\(661\) 2.46855 + 6.43080i 0.0960156 + 0.250129i 0.973173 0.230073i \(-0.0738966\pi\)
−0.877158 + 0.480202i \(0.840563\pi\)
\(662\) −0.129054 + 0.397189i −0.00501584 + 0.0154372i
\(663\) 25.4100 + 34.8887i 0.986842 + 1.35496i
\(664\) −0.815334 + 1.12221i −0.0316411 + 0.0435502i
\(665\) 0.0234659 + 0.447756i 0.000909969 + 0.0173633i
\(666\) −0.0570962 0.00600105i −0.00221243 0.000232536i
\(667\) 6.83730 + 15.3568i 0.264741 + 0.594619i
\(668\) 17.8860 35.1033i 0.692032 1.35819i
\(669\) −4.57830 + 11.9269i −0.177007 + 0.461120i
\(670\) 0.273386 0.337604i 0.0105618 0.0130428i
\(671\) 23.9713 12.2140i 0.925403 0.471517i
\(672\) 0.421596 0.0443115i 0.0162634 0.00170935i
\(673\) −17.1988 + 19.1012i −0.662964 + 0.736296i −0.977029 0.213106i \(-0.931642\pi\)
0.314066 + 0.949401i \(0.398309\pi\)
\(674\) −0.0258745 0.493714i −0.000996647 0.0190172i
\(675\) 3.76067 11.5742i 0.144748 0.445490i
\(676\) −22.5349 12.9409i −0.866727 0.497728i
\(677\) 3.81274i 0.146535i −0.997312 0.0732677i \(-0.976657\pi\)
0.997312 0.0732677i \(-0.0233427\pi\)
\(678\) −0.662157 0.430010i −0.0254300 0.0165144i
\(679\) 0.527836 5.02202i 0.0202565 0.192727i
\(680\) −0.0822308 0.782373i −0.00315341 0.0300026i
\(681\) 10.3690 + 10.3690i 0.397340 + 0.397340i
\(682\) 0.731646 + 0.574781i 0.0280162 + 0.0220095i
\(683\) −17.0758 + 4.57545i −0.653387 + 0.175075i −0.570260 0.821464i \(-0.693158\pi\)
−0.0831274 + 0.996539i \(0.526491\pi\)
\(684\) 2.41409 + 0.382354i 0.0923049 + 0.0146197i
\(685\) −8.66894 19.4708i −0.331223 0.743939i
\(686\) 0.0475516 + 0.223713i 0.00181553 + 0.00854139i
\(687\) −1.65714 + 6.18454i −0.0632239 + 0.235955i
\(688\) −41.8498 −1.59551
\(689\) 42.1435 + 13.6392i 1.60554 + 0.519614i
\(690\) −0.0920702 0.283363i −0.00350505 0.0107874i
\(691\) 1.30326 + 24.8677i 0.0495783 + 0.946010i 0.904293 + 0.426912i \(0.140399\pi\)
−0.854715 + 0.519098i \(0.826268\pi\)
\(692\) −33.0618 14.7200i −1.25682 0.559572i
\(693\) −2.67182 2.96736i −0.101494 0.112721i
\(694\) −0.794325 0.125809i −0.0301522 0.00477564i
\(695\) −7.79571 2.99249i −0.295708 0.113512i
\(696\) 0.626487 + 0.964706i 0.0237469 + 0.0365671i
\(697\) 8.11248 1.28489i 0.307282 0.0486687i
\(698\) −0.257997 + 0.114868i −0.00976532 + 0.00434780i
\(699\) −32.3542 + 35.9330i −1.22375 + 1.35911i
\(700\) 3.06528 2.48221i 0.115857 0.0938189i
\(701\) 9.67142 + 13.3116i 0.365284 + 0.502771i 0.951612 0.307303i \(-0.0994267\pi\)
−0.586327 + 0.810074i \(0.699427\pi\)
\(702\) −0.310763 0.201299i −0.0117290 0.00759756i
\(703\) 0.559881 + 0.770610i 0.0211163 + 0.0290641i
\(704\) −41.0566 + 2.15168i −1.54738 + 0.0810947i
\(705\) −6.48896 5.84268i −0.244388 0.220048i
\(706\) 0.250917 + 0.278671i 0.00944337 + 0.0104879i
\(707\) 2.53649 2.53649i 0.0953947 0.0953947i
\(708\) −35.0723 + 9.39760i −1.31810 + 0.353183i
\(709\) 8.54085 + 0.447607i 0.320758 + 0.0168102i 0.212036 0.977262i \(-0.431991\pi\)
0.108723 + 0.994072i \(0.465324\pi\)
\(710\) −0.0302049 0.190706i −0.00113357 0.00715708i
\(711\) 22.1289 2.32584i 0.829899 0.0872259i
\(712\) −0.139923 0.242354i −0.00524384 0.00908259i
\(713\) 8.33313 + 20.7850i 0.312078 + 0.778405i
\(714\) 0.199316i 0.00745922i
\(715\) 8.11687 18.2879i 0.303554 0.683927i
\(716\) 13.3487 18.3728i 0.498863 0.686626i
\(717\) 6.97796 10.7451i 0.260597 0.401284i
\(718\) −0.197561 0.342185i −0.00737289 0.0127702i
\(719\) 1.70695 2.95652i 0.0636584 0.110260i −0.832440 0.554116i \(-0.813057\pi\)
0.896098 + 0.443856i \(0.146390\pi\)
\(720\) 2.94276 + 5.77548i 0.109670 + 0.215240i
\(721\) −1.30932 + 0.850279i −0.0487615 + 0.0316661i
\(722\) −0.323820 0.498639i −0.0120513 0.0185574i
\(723\) −12.0745 1.91241i −0.449054 0.0711232i
\(724\) −18.3185 + 16.4941i −0.680803 + 0.612998i
\(725\) 14.6672 + 6.53027i 0.544727 + 0.242528i
\(726\) −0.674681 0.833161i −0.0250398 0.0309215i
\(727\) 49.6642 16.1369i 1.84194 0.598483i 0.843861 0.536562i \(-0.180277\pi\)
0.998081 0.0619211i \(-0.0197227\pi\)
\(728\) −0.0978998 0.219202i −0.00362841 0.00812416i
\(729\) 2.60197 + 1.89044i 0.0963693 + 0.0700164i
\(730\) −0.112030 + 0.00587123i −0.00414640 + 0.000217304i
\(731\) 6.17575 58.7584i 0.228418 2.17326i
\(732\) 22.0269 2.31512i 0.814136 0.0855692i
\(733\) −2.80941 5.51377i −0.103768 0.203656i 0.833285 0.552844i \(-0.186457\pi\)
−0.937053 + 0.349188i \(0.886457\pi\)
\(734\) −0.471151 + 0.581823i −0.0173905 + 0.0214755i
\(735\) −12.9111 + 8.38460i −0.476235 + 0.309271i
\(736\) 1.39294 + 0.709739i 0.0513445 + 0.0261613i
\(737\) 47.7002 42.9495i 1.75706 1.58206i
\(738\) 0.0616623 0.0356007i 0.00226982 0.00131048i
\(739\) −8.35660 2.23914i −0.307403 0.0823683i 0.101820 0.994803i \(-0.467533\pi\)
−0.409223 + 0.912435i \(0.634200\pi\)
\(740\) −0.781020 + 2.40373i −0.0287109 + 0.0883630i
\(741\) −0.978213 6.13017i −0.0359355 0.225197i
\(742\) 0.120235 + 0.165489i 0.00441395 + 0.00607528i
\(743\) 2.74691 10.2516i 0.100774 0.376095i −0.897057 0.441914i \(-0.854299\pi\)
0.997832 + 0.0658195i \(0.0209662\pi\)
\(744\) 0.785689 + 1.31556i 0.0288047 + 0.0482307i
\(745\) −8.60885 4.97032i −0.315404 0.182099i
\(746\) −0.00144690 + 0.00913537i −5.29748e−5 + 0.000334470i
\(747\) 15.0639 + 5.78251i 0.551161 + 0.211571i
\(748\) 3.04087 58.0233i 0.111185 2.12154i
\(749\) 3.44684 + 3.44684i 0.125945 + 0.125945i
\(750\) −0.567217 0.327483i −0.0207118 0.0119580i
\(751\) 2.91941 + 13.7348i 0.106531 + 0.501189i 0.998768 + 0.0496215i \(0.0158015\pi\)
−0.892237 + 0.451567i \(0.850865\pi\)
\(752\) 15.2377 0.798573i 0.555661 0.0291210i
\(753\) −4.29899 + 1.39683i −0.156664 + 0.0509032i
\(754\) 0.306969 0.379975i 0.0111791 0.0138379i
\(755\) 21.7216 + 7.05777i 0.790529 + 0.256858i
\(756\) 1.16577 + 3.03694i 0.0423988 + 0.110453i
\(757\) −8.13272 0.854783i −0.295589 0.0310676i −0.0444266 0.999013i \(-0.514146\pi\)
−0.251162 + 0.967945i \(0.580813\pi\)
\(758\) 0.138997 0.653929i 0.00504860 0.0237518i
\(759\) −6.88671 43.4810i −0.249972 1.57826i
\(760\) −0.0405479 + 0.105631i −0.00147083 + 0.00383163i
\(761\) −41.7229 + 27.0952i −1.51245 + 0.982199i −0.520742 + 0.853714i \(0.674345\pi\)
−0.991711 + 0.128485i \(0.958989\pi\)
\(762\) −0.0804112 0.507696i −0.00291299 0.0183919i
\(763\) 0.667533 + 6.35115i 0.0241663 + 0.229927i
\(764\) −2.20905 10.3928i −0.0799206 0.375997i
\(765\) −8.54322 + 3.27943i −0.308881 + 0.118568i
\(766\) 0.101796 + 0.313295i 0.00367803 + 0.0113198i
\(767\) 16.8302 + 25.8506i 0.607704 + 0.933410i
\(768\) −32.1384 10.4424i −1.15970 0.376808i
\(769\) −22.4125 6.00542i −0.808216 0.216561i −0.169028 0.985611i \(-0.554063\pi\)
−0.639188 + 0.769050i \(0.720729\pi\)
\(770\) 0.0800182 0.0461985i 0.00288366 0.00166488i
\(771\) −24.9591 27.7199i −0.898882 0.998309i
\(772\) 1.48251 0.234806i 0.0533566 0.00845085i
\(773\) 16.9202 20.8948i 0.608579 0.751532i −0.375972 0.926631i \(-0.622691\pi\)
0.984551 + 0.175099i \(0.0560245\pi\)
\(774\) −0.132558 0.494714i −0.00476471 0.0177821i
\(775\) 19.1980 + 9.42709i 0.689612 + 0.338631i
\(776\) 0.637141 1.10356i 0.0228720 0.0396155i
\(777\) 0.521051 1.17030i 0.0186926 0.0419843i
\(778\) −0.246251 0.304094i −0.00882852 0.0109023i
\(779\) −1.12352 0.365052i −0.0402541 0.0130794i
\(780\) 11.6337 11.6607i 0.416552 0.417519i
\(781\) 28.5291i 1.02085i
\(782\) −0.400332 + 0.616458i −0.0143159 + 0.0220445i
\(783\) −8.86026 + 9.84032i −0.316640 + 0.351664i
\(784\) 5.59327 26.3142i 0.199759 0.939794i
\(785\) −2.23222 + 14.0937i −0.0796715 + 0.503026i
\(786\) −0.0490149 + 0.935259i −0.00174830 + 0.0333596i
\(787\) 3.03699 + 2.45931i 0.108257 + 0.0876649i 0.681921 0.731426i \(-0.261145\pi\)
−0.573664 + 0.819091i \(0.694478\pi\)
\(788\) −36.6222 + 5.80038i −1.30461 + 0.206630i
\(789\) 26.5185 + 5.63667i 0.944082 + 0.200671i
\(790\) −0.0538199 + 0.512062i −0.00191482 + 0.0182183i
\(791\) 4.57965 3.70853i 0.162834 0.131860i
\(792\) −0.311372 0.958305i −0.0110641 0.0340519i
\(793\) −7.67303 17.1803i −0.272477 0.610089i
\(794\) 0.831465 0.604094i 0.0295076 0.0214385i
\(795\) −15.2919 + 23.5474i −0.542346 + 0.835140i
\(796\) −6.88566 + 15.4655i −0.244056 + 0.548159i
\(797\) 3.14820 + 0.669170i 0.111515 + 0.0237032i 0.263331 0.964706i \(-0.415179\pi\)
−0.151816 + 0.988409i \(0.548512\pi\)
\(798\) 0.0130145 0.0255425i 0.000460710 0.000904194i
\(799\) −1.12740 + 21.5120i −0.0398844 + 0.761040i
\(800\) 1.44225 0.386451i 0.0509914 0.0136631i
\(801\) −2.30183 + 2.30183i −0.0813313 + 0.0813313i
\(802\) 0.380901 0.342965i 0.0134501 0.0121105i
\(803\) −16.4849 1.73263i −0.581738 0.0611432i
\(804\) 49.3317 18.9366i 1.73979 0.667844i
\(805\) 2.22381 0.0783789
\(806\) 0.427650 0.490454i 0.0150633 0.0172755i
\(807\) 40.4481 1.42384
\(808\) 0.845089 0.324399i 0.0297301 0.0114123i
\(809\) −28.1741 2.96122i −0.990550 0.104111i −0.404630 0.914480i \(-0.632600\pi\)
−0.585919 + 0.810369i \(0.699266\pi\)
\(810\) 0.291702 0.262650i 0.0102494 0.00922858i
\(811\) 30.2268 30.2268i 1.06141 1.06141i 0.0634180 0.997987i \(-0.479800\pi\)
0.997987 0.0634180i \(-0.0202001\pi\)
\(812\) −4.14537 + 1.11075i −0.145474 + 0.0389797i
\(813\) 3.58542 68.4139i 0.125746 2.39938i
\(814\) 0.0891137 0.174895i 0.00312343 0.00613008i
\(815\) 19.3011 + 4.10258i 0.676088 + 0.143707i
\(816\) 19.4451 43.6744i 0.680714 1.52891i
\(817\) −4.62811 + 7.12666i −0.161917 + 0.249330i
\(818\) −0.981663 + 0.713220i −0.0343230 + 0.0249371i
\(819\) −2.16822 + 1.75996i −0.0757637 + 0.0614979i
\(820\) −0.968631 2.98114i −0.0338261 0.104106i
\(821\) −40.2493 + 32.5932i −1.40471 + 1.13751i −0.432982 + 0.901402i \(0.642539\pi\)
−0.971727 + 0.236109i \(0.924128\pi\)
\(822\) −0.142440 + 1.35523i −0.00496816 + 0.0472689i
\(823\) −36.6789 7.79634i −1.27855 0.271763i −0.481908 0.876222i \(-0.660056\pi\)
−0.796637 + 0.604458i \(0.793390\pi\)
\(824\) −0.389112 + 0.0616292i −0.0135553 + 0.00214696i
\(825\) −32.6760 26.4605i −1.13763 0.921235i
\(826\) −0.00745515 + 0.142253i −0.000259398 + 0.00494960i
\(827\) 1.27393 8.04331i 0.0442991 0.279693i −0.955588 0.294705i \(-0.904779\pi\)
0.999887 + 0.0150118i \(0.00477859\pi\)
\(828\) 2.52041 11.8576i 0.0875903 0.412080i
\(829\) 22.7787 25.2983i 0.791137 0.878646i −0.203814 0.979010i \(-0.565334\pi\)
0.994951 + 0.100363i \(0.0320005\pi\)
\(830\) −0.203356 + 0.313141i −0.00705860 + 0.0108693i
\(831\) 26.6263i 0.923658i
\(832\) 0.0333500 + 28.7535i 0.00115620 + 0.996849i
\(833\) 36.1206 + 11.7363i 1.25151 + 0.406639i
\(834\) 0.335985 + 0.414907i 0.0116342 + 0.0143671i
\(835\) 8.62893 19.3809i 0.298616 0.670704i
\(836\) −4.17837 + 7.23716i −0.144512 + 0.250302i
\(837\) −12.2872 + 12.6558i −0.424706 + 0.437450i
\(838\) −0.177341 0.661846i −0.00612614 0.0228631i
\(839\) 28.1829 34.8030i 0.972982 1.20153i −0.00649512 0.999979i \(-0.502067\pi\)
0.979477 0.201554i \(-0.0645992\pi\)
\(840\) 0.150297 0.0238046i 0.00518573 0.000821338i
\(841\) 7.71568 + 8.56913i 0.266058 + 0.295487i
\(842\) 0.194459 0.112271i 0.00670150 0.00386911i
\(843\) 18.1855 + 4.87280i 0.626343 + 0.167828i
\(844\) −14.2424 4.62765i −0.490245 0.159290i
\(845\) −12.4829 6.32390i −0.429423 0.217549i
\(846\) 0.0577051 + 0.177598i 0.00198394 + 0.00610595i
\(847\) 7.47031 2.86758i 0.256683 0.0985313i
\(848\) −10.2010 47.9920i −0.350304 1.64805i
\(849\) 6.11170 + 58.1489i 0.209753 + 1.99567i
\(850\) 0.109822 + 0.693391i 0.00376688 + 0.0237831i
\(851\) 3.96212 2.57303i 0.135820 0.0882024i
\(852\) 8.41674 21.9264i 0.288353 0.751185i
\(853\) −2.61888 16.5350i −0.0896689 0.566147i −0.991089 0.133201i \(-0.957474\pi\)
0.901420 0.432945i \(-0.142526\pi\)
\(854\) 0.0180656 0.0849920i 0.000618193 0.00290837i
\(855\) 1.30895 + 0.137576i 0.0447652 + 0.00470501i
\(856\) 0.440825 + 1.14839i 0.0150671 + 0.0392511i
\(857\) −4.28068 1.39088i −0.146225 0.0475114i 0.234990 0.971998i \(-0.424494\pi\)
−0.381215 + 0.924486i \(0.624494\pi\)
\(858\) −1.03406 + 0.753120i −0.0353021 + 0.0257111i
\(859\) −15.0516 + 4.89056i −0.513554 + 0.166864i −0.554318 0.832305i \(-0.687021\pi\)
0.0407642 + 0.999169i \(0.487021\pi\)
\(860\) −22.5166 + 1.18004i −0.767808 + 0.0402391i
\(861\) 0.330325 + 1.55406i 0.0112575 + 0.0529622i
\(862\) −0.378893 0.218754i −0.0129051 0.00745079i
\(863\) 27.3823 + 27.3823i 0.932106 + 0.932106i 0.997837 0.0657317i \(-0.0209382\pi\)
−0.0657317 + 0.997837i \(0.520938\pi\)
\(864\) −0.0644490 + 1.22976i −0.00219260 + 0.0418373i
\(865\) −18.1938 6.98395i −0.618608 0.237462i
\(866\) 0.114839 0.725064i 0.00390238 0.0246387i
\(867\) 27.1925 + 15.6996i 0.923506 + 0.533186i
\(868\) −5.57386 + 1.27114i −0.189189 + 0.0431454i
\(869\) −19.6900 + 73.4843i −0.667939 + 2.49278i
\(870\) 0.181993 + 0.250492i 0.00617014 + 0.00849246i
\(871\) −28.2913 34.8541i −0.958614 1.18099i
\(872\) −0.497992 + 1.53266i −0.0168641 + 0.0519025i
\(873\) −14.3179 3.83647i −0.484588 0.129845i
\(874\) 0.0915550 0.0528593i 0.00309689 0.00178799i
\(875\) 3.63289 3.27107i 0.122814 0.110582i
\(876\) −12.1585 6.19505i −0.410797 0.209311i
\(877\) 1.06955 0.694573i 0.0361161 0.0234541i −0.526455 0.850203i \(-0.676479\pi\)
0.562571 + 0.826749i \(0.309812\pi\)
\(878\) −0.272654 + 0.336700i −0.00920164 + 0.0113631i
\(879\) −4.64815 9.12252i −0.156778 0.307695i
\(880\) −22.0407 + 2.31658i −0.742994 + 0.0780918i
\(881\) 4.30778 40.9858i 0.145133 1.38085i −0.643247 0.765659i \(-0.722413\pi\)
0.788380 0.615189i \(-0.210920\pi\)
\(882\) 0.328782 0.0172308i 0.0110707 0.000580190i
\(883\) 3.56038 + 2.58677i 0.119816 + 0.0870517i 0.646080 0.763270i \(-0.276407\pi\)
−0.526263 + 0.850322i \(0.676407\pi\)
\(884\) −40.4183 4.20074i −1.35941 0.141286i
\(885\) −18.5953 + 6.04198i −0.625074 + 0.203099i
\(886\) −0.0845794 0.104447i −0.00284150 0.00350896i
\(887\) −15.6469 6.96647i −0.525373 0.233911i 0.126872 0.991919i \(-0.459506\pi\)
−0.652245 + 0.758008i \(0.726173\pi\)
\(888\) 0.240238 0.216311i 0.00806187 0.00725894i
\(889\) 3.78935 + 0.600173i 0.127091 + 0.0201292i
\(890\) −0.0410261 0.0631746i −0.00137520 0.00211762i
\(891\) 48.6408 31.5877i 1.62953 1.05823i
\(892\) −5.46059 10.7170i −0.182834 0.358832i
\(893\) 1.54912 2.68316i 0.0518394 0.0897885i
\(894\) 0.317782 + 0.550414i 0.0106282 + 0.0184086i
\(895\) 6.66045 10.2562i 0.222634 0.342827i
\(896\) −0.312766 + 0.430485i −0.0104488 + 0.0143815i
\(897\) −30.6163 + 3.25381i −1.02225 + 0.108642i
\(898\) 0.0285429i 0.000952490i
\(899\) −14.9106 17.8666i −0.497298 0.595884i
\(900\) −5.78907 10.0270i −0.192969 0.334232i
\(901\) 68.8876 7.24038i 2.29498 0.241212i
\(902\) 0.0380825 + 0.240444i 0.00126801 + 0.00800590i
\(903\) 11.4127 + 0.598115i 0.379792 + 0.0199040i
\(904\) 1.43640 0.384882i 0.0477739 0.0128010i
\(905\) −9.38596 + 9.38596i −0.312000 + 0.312000i
\(906\) −0.977103 1.08518i −0.0324621 0.0360528i
\(907\) 25.0763 + 22.5788i 0.832645 + 0.749717i 0.970594 0.240722i \(-0.0773843\pi\)
−0.137949 + 0.990439i \(0.544051\pi\)
\(908\) −13.7871 + 0.722552i −0.457541 + 0.0239787i
\(909\) −6.18927 8.51879i −0.205285 0.282551i
\(910\) −0.0294039 0.0575433i −0.000974730 0.00190754i
\(911\) 21.4233 + 29.4866i 0.709785 + 0.976935i 0.999802 + 0.0199137i \(0.00633914\pi\)
−0.290017 + 0.957022i \(0.593661\pi\)
\(912\) −5.34366 + 4.32721i −0.176946 + 0.143288i
\(913\) −36.9150 + 40.9982i −1.22171 + 1.35684i
\(914\) 0.309193 0.137662i 0.0102272 0.00455345i
\(915\) 11.7797 1.86572i 0.389425 0.0616789i
\(916\) −3.28314 5.05560i −0.108478 0.167042i
\(917\) −6.52589 2.50505i −0.215504 0.0827242i
\(918\) −0.571869 0.0905751i −0.0188745 0.00298942i
\(919\) 3.05205 + 3.38965i 0.100678 + 0.111814i 0.791378 0.611327i \(-0.209364\pi\)
−0.690700 + 0.723141i \(0.742697\pi\)
\(920\) 0.512659 + 0.228251i 0.0169019 + 0.00752520i
\(921\) −0.939761 17.9317i −0.0309662 0.590870i
\(922\) −0.235519 0.724852i −0.00775640 0.0238717i
\(923\) −19.9265 1.02113i −0.655889 0.0336109i
\(924\) 11.2390 0.369736
\(925\) 1.16783 4.35840i 0.0383980 0.143303i
\(926\) −0.238792 1.12343i −0.00784721 0.0369182i
\(927\) 1.86396 + 4.18653i 0.0612206 + 0.137504i
\(928\) −1.60461 0.254146i −0.0526740 0.00834275i
\(929\) 42.9148 11.4990i 1.40799 0.377270i 0.526783 0.850000i \(-0.323398\pi\)
0.881207 + 0.472730i \(0.156731\pi\)
\(930\) 0.229730 + 0.342560i 0.00753313 + 0.0112330i
\(931\) −3.86254 3.86254i −0.126590 0.126590i
\(932\) −4.75852 45.2743i −0.155870 1.48301i
\(933\) 0.900315 8.56592i 0.0294750 0.280436i
\(934\) 0.0435812 + 0.0283020i 0.00142602 + 0.000926069i
\(935\) 31.2877i 1.02322i
\(936\) −0.680485 + 0.183182i −0.0222424 + 0.00598748i
\(937\) −13.8339 + 42.5764i −0.451934 + 1.39091i 0.422762 + 0.906241i \(0.361060\pi\)
−0.874697 + 0.484670i \(0.838940\pi\)
\(938\) −0.0108495 0.207021i −0.000354249 0.00675947i
\(939\) −15.9982 + 17.7678i −0.522083 + 0.579832i
\(940\) 8.17586 0.859318i 0.266667 0.0280278i
\(941\) −24.0956 + 12.2773i −0.785495 + 0.400230i −0.800254 0.599661i \(-0.795302\pi\)
0.0147590 + 0.999891i \(0.495302\pi\)
\(942\) 0.574145 0.709010i 0.0187067 0.0231008i
\(943\) −2.09972 + 5.46996i −0.0683763 + 0.178126i
\(944\) 15.5116 30.4432i 0.504860 0.990843i
\(945\) 0.712483 + 1.60026i 0.0231771 + 0.0520566i
\(946\) 1.74152 + 0.183042i 0.0566219 + 0.00595120i
\(947\) 2.43641 + 46.4895i 0.0791728 + 1.51071i 0.692811 + 0.721120i \(0.256372\pi\)
−0.613638 + 0.789588i \(0.710294\pi\)
\(948\) −36.8126 + 50.6682i −1.19562 + 1.64563i
\(949\) −1.80021 + 11.4521i −0.0584374 + 0.371749i
\(950\) 0.0312018 0.0960294i 0.00101232 0.00311560i
\(951\) −11.9739 31.1930i −0.388280 1.01150i
\(952\) −0.278983 0.251198i −0.00904190 0.00814136i
\(953\) 12.5351 + 2.66443i 0.406053 + 0.0863092i 0.406410 0.913691i \(-0.366780\pi\)
−0.000357272 1.00000i \(0.500114\pi\)
\(954\) 0.535012 0.272602i 0.0173216 0.00882582i
\(955\) −1.48081 5.52645i −0.0479178 0.178832i
\(956\) 3.12200 + 11.6515i 0.100973 + 0.376836i
\(957\) 20.7694 + 40.7623i 0.671381 + 1.31766i
\(958\) −1.24422 + 0.553962i −0.0401989 + 0.0178977i
\(959\) −9.29154 4.13686i −0.300039 0.133586i
\(960\) −17.6046 4.71713i −0.568185 0.152245i
\(961\) −18.9546 24.5300i −0.611440 0.791291i
\(962\) −0.118968 0.0685025i −0.00383569 0.00220861i
\(963\) 11.5762 8.41058i 0.373037 0.271027i
\(964\) 8.94475 7.24331i 0.288091 0.233291i
\(965\) 0.790601 0.168047i 0.0254503 0.00540964i
\(966\) −0.123132 0.0710905i −0.00396172 0.00228730i
\(967\) 38.2502 + 38.2502i 1.23004 + 1.23004i 0.963946 + 0.266096i \(0.0857339\pi\)
0.266096 + 0.963946i \(0.414266\pi\)
\(968\) 2.01647 + 0.105679i 0.0648120 + 0.00339665i
\(969\) −5.28697 8.14122i −0.169842 0.261534i
\(970\) 0.155720 0.305618i 0.00499987 0.00981279i
\(971\) 0.997075 + 9.48654i 0.0319977 + 0.304437i 0.998803 + 0.0489219i \(0.0155785\pi\)
−0.966805 + 0.255516i \(0.917755\pi\)
\(972\) 28.1190 5.97688i 0.901918 0.191709i
\(973\) −3.72015 + 1.42803i −0.119263 + 0.0457806i
\(974\) −0.653604 0.474871i −0.0209428 0.0152159i
\(975\) −19.6512 + 21.8759i −0.629342 + 0.700588i
\(976\) −12.2503 + 16.8611i −0.392122 + 0.539710i
\(977\) −10.7121 13.2284i −0.342711 0.423213i 0.576427 0.817149i \(-0.304446\pi\)
−0.919138 + 0.393936i \(0.871113\pi\)
\(978\) −0.937553 0.844177i −0.0299796 0.0269938i
\(979\) −4.52696 10.1677i −0.144682 0.324962i
\(980\) 2.26738 14.3157i 0.0724287 0.457297i
\(981\) 18.7204 + 0.981093i 0.597695 + 0.0313239i
\(982\) −0.808242 0.654501i −0.0257920 0.0208860i
\(983\) −34.9312 17.7983i −1.11413 0.567678i −0.202746 0.979231i \(-0.564986\pi\)
−0.911386 + 0.411553i \(0.864986\pi\)
\(984\) −0.0833573 + 0.392165i −0.00265733 + 0.0125018i
\(985\) −19.5301 + 4.15125i −0.622281 + 0.132270i
\(986\) 0.197700 0.737827i 0.00629606 0.0234972i
\(987\) −4.16683 −0.132632
\(988\) 4.90533 + 3.17748i 0.156059 + 0.101089i
\(989\) 34.0967 + 24.7727i 1.08421 + 0.787725i
\(990\) −0.0971983 0.253210i −0.00308917 0.00804755i
\(991\) −45.9613 + 26.5358i −1.46001 + 0.842936i −0.999011 0.0444655i \(-0.985842\pi\)
−0.460997 + 0.887402i \(0.652508\pi\)
\(992\) −2.12332 0.418625i −0.0674155 0.0132914i
\(993\) −19.3429 + 19.3429i −0.613828 + 0.613828i
\(994\) −0.0716065 0.0579858i −0.00227122 0.00183920i
\(995\) −3.26692 + 8.51061i −0.103568 + 0.269804i
\(996\) −40.4668 + 20.6189i −1.28224 + 0.653334i
\(997\) 14.8654 25.7476i 0.470792 0.815435i −0.528650 0.848840i \(-0.677302\pi\)
0.999442 + 0.0334048i \(0.0106351\pi\)
\(998\) 0.0625980 + 0.108423i 0.00198151 + 0.00343207i
\(999\) 3.12099 + 2.02679i 0.0987437 + 0.0641249i
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 403.2.cb.a.15.19 576
13.7 odd 12 inner 403.2.cb.a.46.19 yes 576
31.29 odd 10 inner 403.2.cb.a.184.19 yes 576
403.215 even 60 inner 403.2.cb.a.215.19 yes 576
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
403.2.cb.a.15.19 576 1.1 even 1 trivial
403.2.cb.a.46.19 yes 576 13.7 odd 12 inner
403.2.cb.a.184.19 yes 576 31.29 odd 10 inner
403.2.cb.a.215.19 yes 576 403.215 even 60 inner