Properties

Label 560.2.cp.a.221.44
Level $560$
Weight $2$
Character 560.221
Analytic conductor $4.472$
Analytic rank $0$
Dimension $256$
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] = [560,2,Mod(221,560)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(560, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([0, 9, 0, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("560.221");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 560 = 2^{4} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 560.cp (of order \(12\), degree \(4\), 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: \(4.47162251319\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 221.44
Character \(\chi\) \(=\) 560.221
Dual form 560.2.cp.a.261.44

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.792582 + 1.17124i) q^{2} +(-0.0529447 + 0.0141865i) q^{3} +(-0.743627 + 1.85661i) q^{4} +(-0.965926 - 0.258819i) q^{5} +(-0.0585788 - 0.0507672i) q^{6} +(-1.09677 + 2.40772i) q^{7} +(-2.76394 + 0.600550i) q^{8} +(-2.59547 + 1.49850i) q^{9} +O(q^{10})\) \(q+(0.792582 + 1.17124i) q^{2} +(-0.0529447 + 0.0141865i) q^{3} +(-0.743627 + 1.85661i) q^{4} +(-0.965926 - 0.258819i) q^{5} +(-0.0585788 - 0.0507672i) q^{6} +(-1.09677 + 2.40772i) q^{7} +(-2.76394 + 0.600550i) q^{8} +(-2.59547 + 1.49850i) q^{9} +(-0.462435 - 1.33647i) q^{10} +(-1.11257 - 4.15219i) q^{11} +(0.0130323 - 0.108847i) q^{12} +(-1.12317 - 1.12317i) q^{13} +(-3.68930 + 0.623734i) q^{14} +0.0548123 q^{15} +(-2.89404 - 2.76126i) q^{16} +(-0.0460346 + 0.0797343i) q^{17} +(-3.81223 - 1.85225i) q^{18} +(-1.33343 + 4.97641i) q^{19} +(1.19882 - 1.60089i) q^{20} +(0.0239108 - 0.143035i) q^{21} +(3.98142 - 4.59405i) q^{22} +(2.97629 - 1.71836i) q^{23} +(0.137816 - 0.0710064i) q^{24} +(0.866025 + 0.500000i) q^{25} +(0.425304 - 2.20572i) q^{26} +(0.232433 - 0.232433i) q^{27} +(-3.65462 - 3.82672i) q^{28} +(1.54754 + 1.54754i) q^{29} +(0.0434433 + 0.0641986i) q^{30} +(-5.28436 + 9.15278i) q^{31} +(0.940348 - 5.57815i) q^{32} +(0.117810 + 0.204053i) q^{33} +(-0.129875 + 0.00927818i) q^{34} +(1.68256 - 2.04181i) q^{35} +(-0.852068 - 5.93312i) q^{36} +(-8.20391 - 2.19823i) q^{37} +(-6.88545 + 2.38245i) q^{38} +(0.0754000 + 0.0435322i) q^{39} +(2.82519 + 0.135272i) q^{40} +1.06092i q^{41} +(0.186480 - 0.0853616i) q^{42} +(-1.10318 + 1.10318i) q^{43} +(8.53635 + 1.02206i) q^{44} +(2.89488 - 0.775680i) q^{45} +(4.37157 + 2.12402i) q^{46} +(5.84625 + 10.1260i) q^{47} +(0.192396 + 0.105138i) q^{48} +(-4.59421 - 5.28140i) q^{49} +(0.100774 + 1.41062i) q^{50} +(0.00130614 - 0.00487457i) q^{51} +(2.92053 - 1.25008i) q^{52} +(0.864301 + 3.22561i) q^{53} +(0.456457 + 0.0880135i) q^{54} +4.29866i q^{55} +(1.58543 - 7.31344i) q^{56} -0.282391i q^{57} +(-0.585994 + 3.03909i) q^{58} +(0.164625 + 0.614389i) q^{59} +(-0.0407599 + 0.101765i) q^{60} +(0.393722 - 1.46939i) q^{61} +(-14.9084 + 1.06505i) q^{62} +(-0.761335 - 7.89267i) q^{63} +(7.27868 - 3.31976i) q^{64} +(0.794204 + 1.37560i) q^{65} +(-0.145621 + 0.299712i) q^{66} +(11.1362 - 2.98395i) q^{67} +(-0.113803 - 0.144761i) q^{68} +(-0.133201 + 0.133201i) q^{69} +(3.72503 + 0.352381i) q^{70} +4.35741i q^{71} +(6.27380 - 5.70046i) q^{72} +(-5.63766 - 3.25490i) q^{73} +(-3.92761 - 11.3511i) q^{74} +(-0.0529447 - 0.0141865i) q^{75} +(-8.24771 - 6.17626i) q^{76} +(11.2175 + 1.87521i) q^{77} +(0.00877382 + 0.122815i) q^{78} +(7.48801 + 12.9696i) q^{79} +(2.08076 + 3.41620i) q^{80} +(4.48648 - 7.77082i) q^{81} +(-1.24259 + 0.840864i) q^{82} +(-2.76647 - 2.76647i) q^{83} +(0.247780 + 0.150758i) q^{84} +(0.0651028 - 0.0651028i) q^{85} +(-2.16645 - 0.417733i) q^{86} +(-0.103888 - 0.0599797i) q^{87} +(5.56868 + 10.8082i) q^{88} +(-6.27841 + 3.62484i) q^{89} +(3.20294 + 2.77582i) q^{90} +(3.93615 - 1.47243i) q^{91} +(0.977084 + 6.80363i) q^{92} +(0.149933 - 0.559557i) q^{93} +(-7.22640 + 14.8731i) q^{94} +(2.57598 - 4.46173i) q^{95} +(0.0293479 + 0.308673i) q^{96} -7.39528 q^{97} +(2.54452 - 9.56689i) q^{98} +(9.10970 + 9.10970i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256 q + 4 q^{4}+O(q^{10}) \) Copy content Toggle raw display \( 256 q + 4 q^{4} + 8 q^{11} + 16 q^{14} - 20 q^{16} - 40 q^{18} - 16 q^{20} + 56 q^{22} - 40 q^{24} + 4 q^{28} - 32 q^{29} - 20 q^{32} + 16 q^{37} - 40 q^{38} - 60 q^{42} + 16 q^{43} + 32 q^{44} - 20 q^{46} + 80 q^{47} - 160 q^{48} - 8 q^{50} - 40 q^{51} + 24 q^{52} - 16 q^{53} - 116 q^{54} - 96 q^{56} - 8 q^{58} + 16 q^{59} - 28 q^{60} + 88 q^{62} - 56 q^{64} - 16 q^{66} - 40 q^{67} - 20 q^{68} - 16 q^{70} + 76 q^{72} + 52 q^{74} - 48 q^{78} + 128 q^{81} - 80 q^{83} - 68 q^{84} + 52 q^{86} + 20 q^{88} - 72 q^{90} - 32 q^{91} - 112 q^{92} + 120 q^{94} + 140 q^{96} + 24 q^{98} - 80 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/560\mathbb{Z}\right)^\times\).

\(n\) \(241\) \(337\) \(351\) \(421\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.792582 + 1.17124i 0.560440 + 0.828195i
\(3\) −0.0529447 + 0.0141865i −0.0305676 + 0.00819057i −0.274070 0.961710i \(-0.588370\pi\)
0.243503 + 0.969900i \(0.421703\pi\)
\(4\) −0.743627 + 1.85661i −0.371814 + 0.928307i
\(5\) −0.965926 0.258819i −0.431975 0.115747i
\(6\) −0.0585788 0.0507672i −0.0239147 0.0207256i
\(7\) −1.09677 + 2.40772i −0.414538 + 0.910032i
\(8\) −2.76394 + 0.600550i −0.977199 + 0.212327i
\(9\) −2.59547 + 1.49850i −0.865158 + 0.499499i
\(10\) −0.462435 1.33647i −0.146235 0.422629i
\(11\) −1.11257 4.15219i −0.335454 1.25193i −0.903376 0.428849i \(-0.858919\pi\)
0.567922 0.823082i \(-0.307747\pi\)
\(12\) 0.0130323 0.108847i 0.00376209 0.0314215i
\(13\) −1.12317 1.12317i −0.311513 0.311513i 0.533983 0.845495i \(-0.320695\pi\)
−0.845495 + 0.533983i \(0.820695\pi\)
\(14\) −3.68930 + 0.623734i −0.986008 + 0.166700i
\(15\) 0.0548123 0.0141525
\(16\) −2.89404 2.76126i −0.723509 0.690315i
\(17\) −0.0460346 + 0.0797343i −0.0111650 + 0.0193384i −0.871554 0.490300i \(-0.836887\pi\)
0.860389 + 0.509638i \(0.170221\pi\)
\(18\) −3.81223 1.85225i −0.898552 0.436580i
\(19\) −1.33343 + 4.97641i −0.305909 + 1.14167i 0.626251 + 0.779621i \(0.284588\pi\)
−0.932160 + 0.362046i \(0.882078\pi\)
\(20\) 1.19882 1.60089i 0.268063 0.357969i
\(21\) 0.0239108 0.143035i 0.00521777 0.0312128i
\(22\) 3.98142 4.59405i 0.848841 0.979454i
\(23\) 2.97629 1.71836i 0.620598 0.358303i −0.156504 0.987677i \(-0.550022\pi\)
0.777102 + 0.629375i \(0.216689\pi\)
\(24\) 0.137816 0.0710064i 0.0281316 0.0144941i
\(25\) 0.866025 + 0.500000i 0.173205 + 0.100000i
\(26\) 0.425304 2.20572i 0.0834090 0.432577i
\(27\) 0.232433 0.232433i 0.0447317 0.0447317i
\(28\) −3.65462 3.82672i −0.690658 0.723181i
\(29\) 1.54754 + 1.54754i 0.287370 + 0.287370i 0.836039 0.548669i \(-0.184865\pi\)
−0.548669 + 0.836039i \(0.684865\pi\)
\(30\) 0.0434433 + 0.0641986i 0.00793162 + 0.0117210i
\(31\) −5.28436 + 9.15278i −0.949099 + 1.64389i −0.201771 + 0.979433i \(0.564670\pi\)
−0.747328 + 0.664455i \(0.768664\pi\)
\(32\) 0.940348 5.57815i 0.166232 0.986087i
\(33\) 0.117810 + 0.204053i 0.0205080 + 0.0355210i
\(34\) −0.129875 + 0.00927818i −0.0222733 + 0.00159119i
\(35\) 1.68256 2.04181i 0.284404 0.345129i
\(36\) −0.852068 5.93312i −0.142011 0.988853i
\(37\) −8.20391 2.19823i −1.34871 0.361387i −0.489054 0.872253i \(-0.662658\pi\)
−0.859660 + 0.510866i \(0.829325\pi\)
\(38\) −6.88545 + 2.38245i −1.11697 + 0.386484i
\(39\) 0.0754000 + 0.0435322i 0.0120737 + 0.00697073i
\(40\) 2.82519 + 0.135272i 0.446702 + 0.0213884i
\(41\) 1.06092i 0.165687i 0.996563 + 0.0828437i \(0.0264002\pi\)
−0.996563 + 0.0828437i \(0.973600\pi\)
\(42\) 0.186480 0.0853616i 0.0287745 0.0131716i
\(43\) −1.10318 + 1.10318i −0.168233 + 0.168233i −0.786202 0.617969i \(-0.787956\pi\)
0.617969 + 0.786202i \(0.287956\pi\)
\(44\) 8.53635 + 1.02206i 1.28690 + 0.154081i
\(45\) 2.89488 0.775680i 0.431543 0.115631i
\(46\) 4.37157 + 2.12402i 0.644553 + 0.313169i
\(47\) 5.84625 + 10.1260i 0.852764 + 1.47703i 0.878704 + 0.477367i \(0.158409\pi\)
−0.0259403 + 0.999663i \(0.508258\pi\)
\(48\) 0.192396 + 0.105138i 0.0277700 + 0.0151753i
\(49\) −4.59421 5.28140i −0.656316 0.754486i
\(50\) 0.100774 + 1.41062i 0.0142516 + 0.199492i
\(51\) 0.00130614 0.00487457i 0.000182896 0.000682577i
\(52\) 2.92053 1.25008i 0.405004 0.173355i
\(53\) 0.864301 + 3.22561i 0.118721 + 0.443072i 0.999538 0.0303838i \(-0.00967295\pi\)
−0.880817 + 0.473456i \(0.843006\pi\)
\(54\) 0.456457 + 0.0880135i 0.0621160 + 0.0119771i
\(55\) 4.29866i 0.579631i
\(56\) 1.58543 7.31344i 0.211862 0.977300i
\(57\) 0.282391i 0.0374036i
\(58\) −0.585994 + 3.03909i −0.0769447 + 0.399052i
\(59\) 0.164625 + 0.614389i 0.0214323 + 0.0799866i 0.975814 0.218604i \(-0.0701502\pi\)
−0.954381 + 0.298590i \(0.903484\pi\)
\(60\) −0.0407599 + 0.101765i −0.00526209 + 0.0131379i
\(61\) 0.393722 1.46939i 0.0504110 0.188136i −0.936129 0.351657i \(-0.885618\pi\)
0.986540 + 0.163521i \(0.0522850\pi\)
\(62\) −14.9084 + 1.06505i −1.89337 + 0.135262i
\(63\) −0.761335 7.89267i −0.0959192 0.994383i
\(64\) 7.27868 3.31976i 0.909835 0.414970i
\(65\) 0.794204 + 1.37560i 0.0985089 + 0.170622i
\(66\) −0.145621 + 0.299712i −0.0179248 + 0.0368920i
\(67\) 11.1362 2.98395i 1.36051 0.364547i 0.496505 0.868034i \(-0.334616\pi\)
0.864003 + 0.503487i \(0.167950\pi\)
\(68\) −0.113803 0.144761i −0.0138007 0.0175549i
\(69\) −0.133201 + 0.133201i −0.0160355 + 0.0160355i
\(70\) 3.72503 + 0.352381i 0.445226 + 0.0421176i
\(71\) 4.35741i 0.517129i 0.965994 + 0.258565i \(0.0832495\pi\)
−0.965994 + 0.258565i \(0.916751\pi\)
\(72\) 6.27380 5.70046i 0.739374 0.671806i
\(73\) −5.63766 3.25490i −0.659838 0.380958i 0.132377 0.991199i \(-0.457739\pi\)
−0.792215 + 0.610242i \(0.791072\pi\)
\(74\) −3.92761 11.3511i −0.456575 1.31953i
\(75\) −0.0529447 0.0141865i −0.00611352 0.00163811i
\(76\) −8.24771 6.17626i −0.946077 0.708465i
\(77\) 11.2175 + 1.87521i 1.27836 + 0.213700i
\(78\) 0.00877382 + 0.122815i 0.000993440 + 0.0139060i
\(79\) 7.48801 + 12.9696i 0.842467 + 1.45920i 0.887803 + 0.460224i \(0.152231\pi\)
−0.0453354 + 0.998972i \(0.514436\pi\)
\(80\) 2.08076 + 3.41620i 0.232636 + 0.381943i
\(81\) 4.48648 7.77082i 0.498498 0.863424i
\(82\) −1.24259 + 0.840864i −0.137221 + 0.0928579i
\(83\) −2.76647 2.76647i −0.303660 0.303660i 0.538784 0.842444i \(-0.318884\pi\)
−0.842444 + 0.538784i \(0.818884\pi\)
\(84\) 0.247780 + 0.150758i 0.0270350 + 0.0164490i
\(85\) 0.0651028 0.0651028i 0.00706139 0.00706139i
\(86\) −2.16645 0.417733i −0.233615 0.0450453i
\(87\) −0.103888 0.0599797i −0.0111379 0.00643049i
\(88\) 5.56868 + 10.8082i 0.593623 + 1.15216i
\(89\) −6.27841 + 3.62484i −0.665511 + 0.384233i −0.794373 0.607430i \(-0.792201\pi\)
0.128863 + 0.991662i \(0.458867\pi\)
\(90\) 3.20294 + 2.77582i 0.337619 + 0.292597i
\(91\) 3.93615 1.47243i 0.412620 0.154353i
\(92\) 0.977084 + 6.80363i 0.101868 + 0.709328i
\(93\) 0.149933 0.559557i 0.0155473 0.0580234i
\(94\) −7.22640 + 14.8731i −0.745346 + 1.53404i
\(95\) 2.57598 4.46173i 0.264290 0.457764i
\(96\) 0.0293479 + 0.308673i 0.00299531 + 0.0315038i
\(97\) −7.39528 −0.750877 −0.375438 0.926847i \(-0.622508\pi\)
−0.375438 + 0.926847i \(0.622508\pi\)
\(98\) 2.54452 9.56689i 0.257036 0.966402i
\(99\) 9.10970 + 9.10970i 0.915559 + 0.915559i
\(100\) −1.57231 + 1.23606i −0.157231 + 0.123606i
\(101\) 3.89809 + 14.5479i 0.387874 + 1.44757i 0.833586 + 0.552390i \(0.186284\pi\)
−0.445711 + 0.895177i \(0.647049\pi\)
\(102\) 0.00674454 0.00233369i 0.000667809 0.000231070i
\(103\) 9.92661 5.73113i 0.978098 0.564705i 0.0764024 0.997077i \(-0.475657\pi\)
0.901695 + 0.432372i \(0.142323\pi\)
\(104\) 3.77890 + 2.42986i 0.370552 + 0.238267i
\(105\) −0.0601163 + 0.131973i −0.00586675 + 0.0128792i
\(106\) −3.09295 + 3.56887i −0.300414 + 0.346639i
\(107\) 11.1580 + 2.98978i 1.07869 + 0.289033i 0.754057 0.656809i \(-0.228094\pi\)
0.324628 + 0.945842i \(0.394761\pi\)
\(108\) 0.258695 + 0.604381i 0.0248929 + 0.0581566i
\(109\) 10.0144 2.68336i 0.959207 0.257019i 0.254943 0.966956i \(-0.417943\pi\)
0.704265 + 0.709937i \(0.251277\pi\)
\(110\) −5.03478 + 3.40704i −0.480048 + 0.324849i
\(111\) 0.465538 0.0441869
\(112\) 9.82241 3.93957i 0.928131 0.372255i
\(113\) −17.4240 −1.63912 −0.819558 0.572997i \(-0.805781\pi\)
−0.819558 + 0.572997i \(0.805781\pi\)
\(114\) 0.330749 0.223818i 0.0309775 0.0209625i
\(115\) −3.31961 + 0.889488i −0.309556 + 0.0829452i
\(116\) −4.02397 + 1.72239i −0.373616 + 0.159920i
\(117\) 4.59825 + 1.23210i 0.425108 + 0.113907i
\(118\) −0.589120 + 0.679769i −0.0542329 + 0.0625778i
\(119\) −0.141489 0.198288i −0.0129702 0.0181770i
\(120\) −0.151498 + 0.0329176i −0.0138298 + 0.00300495i
\(121\) −6.47655 + 3.73924i −0.588777 + 0.339930i
\(122\) 2.03307 0.703468i 0.184066 0.0636890i
\(123\) −0.0150507 0.0561699i −0.00135707 0.00506467i
\(124\) −13.0636 16.6173i −1.17315 1.49228i
\(125\) −0.707107 0.707107i −0.0632456 0.0632456i
\(126\) 8.64083 7.14730i 0.769786 0.636732i
\(127\) −12.9885 −1.15254 −0.576272 0.817258i \(-0.695493\pi\)
−0.576272 + 0.817258i \(0.695493\pi\)
\(128\) 9.65721 + 5.89393i 0.853584 + 0.520954i
\(129\) 0.0427572 0.0740577i 0.00376456 0.00652042i
\(130\) −0.981694 + 2.02049i −0.0861003 + 0.177208i
\(131\) −3.01751 + 11.2615i −0.263641 + 0.983923i 0.699435 + 0.714696i \(0.253435\pi\)
−0.963077 + 0.269227i \(0.913232\pi\)
\(132\) −0.466453 + 0.0669883i −0.0405996 + 0.00583059i
\(133\) −10.5193 8.66847i −0.912143 0.751652i
\(134\) 12.3213 + 10.6782i 1.06440 + 0.922459i
\(135\) −0.284671 + 0.164355i −0.0245005 + 0.0141454i
\(136\) 0.0793523 0.248027i 0.00680440 0.0212681i
\(137\) −13.5180 7.80464i −1.15492 0.666795i −0.204841 0.978795i \(-0.565668\pi\)
−0.950082 + 0.312000i \(0.899001\pi\)
\(138\) −0.261583 0.0504382i −0.0222675 0.00429358i
\(139\) −3.45142 + 3.45142i −0.292746 + 0.292746i −0.838164 0.545418i \(-0.816371\pi\)
0.545418 + 0.838164i \(0.316371\pi\)
\(140\) 2.53967 + 4.64221i 0.214641 + 0.392338i
\(141\) −0.453180 0.453180i −0.0381647 0.0381647i
\(142\) −5.10359 + 3.45360i −0.428284 + 0.289820i
\(143\) −3.41401 + 5.91325i −0.285494 + 0.494490i
\(144\) 11.6491 + 2.83007i 0.970762 + 0.235839i
\(145\) −1.09427 1.89534i −0.0908744 0.157399i
\(146\) −0.656019 9.18285i −0.0542925 0.759978i
\(147\) 0.318163 + 0.214446i 0.0262417 + 0.0176872i
\(148\) 10.1819 13.5968i 0.836949 1.11765i
\(149\) 3.93286 + 1.05381i 0.322192 + 0.0863311i 0.416290 0.909232i \(-0.363330\pi\)
−0.0940980 + 0.995563i \(0.529997\pi\)
\(150\) −0.0253471 0.0732551i −0.00206959 0.00598125i
\(151\) −9.98405 5.76430i −0.812491 0.469092i 0.0353293 0.999376i \(-0.488752\pi\)
−0.847820 + 0.530284i \(0.822085\pi\)
\(152\) 0.696917 14.5553i 0.0565275 1.18059i
\(153\) 0.275931i 0.0223077i
\(154\) 6.69449 + 14.6247i 0.539457 + 1.17849i
\(155\) 7.47321 7.47321i 0.600263 0.600263i
\(156\) −0.136892 + 0.107617i −0.0109601 + 0.00861625i
\(157\) 13.7916 3.69544i 1.10069 0.294928i 0.337642 0.941274i \(-0.390371\pi\)
0.763044 + 0.646346i \(0.223704\pi\)
\(158\) −9.25573 + 19.0498i −0.736346 + 1.51552i
\(159\) −0.0915202 0.158518i −0.00725802 0.0125713i
\(160\) −2.35204 + 5.14470i −0.185945 + 0.406724i
\(161\) 0.873038 + 9.05069i 0.0688051 + 0.713294i
\(162\) 12.6574 0.904242i 0.994462 0.0710439i
\(163\) 3.34183 12.4719i 0.261753 0.976874i −0.702456 0.711728i \(-0.747913\pi\)
0.964208 0.265146i \(-0.0854203\pi\)
\(164\) −1.96971 0.788927i −0.153809 0.0616048i
\(165\) −0.0609828 0.227591i −0.00474751 0.0177179i
\(166\) 1.04756 5.43287i 0.0813064 0.421673i
\(167\) 9.28275i 0.718320i 0.933276 + 0.359160i \(0.116937\pi\)
−0.933276 + 0.359160i \(0.883063\pi\)
\(168\) 0.0198118 + 0.409699i 0.00152851 + 0.0316090i
\(169\) 10.4770i 0.805920i
\(170\) 0.127851 + 0.0246520i 0.00980569 + 0.00189072i
\(171\) −3.99627 14.9143i −0.305603 1.14052i
\(172\) −1.22783 2.86853i −0.0936208 0.218724i
\(173\) 5.31577 19.8387i 0.404151 1.50831i −0.401466 0.915874i \(-0.631499\pi\)
0.805617 0.592437i \(-0.201834\pi\)
\(174\) −0.0120888 0.169217i −0.000916448 0.0128283i
\(175\) −2.15369 + 1.53676i −0.162803 + 0.116168i
\(176\) −8.24543 + 15.0887i −0.621523 + 1.13735i
\(177\) −0.0174320 0.0301931i −0.00131027 0.00226946i
\(178\) −9.22174 4.48057i −0.691198 0.335833i
\(179\) −3.75867 + 1.00713i −0.280936 + 0.0752766i −0.396536 0.918019i \(-0.629788\pi\)
0.115600 + 0.993296i \(0.463121\pi\)
\(180\) −0.712570 + 5.95149i −0.0531119 + 0.443598i
\(181\) −11.4399 + 11.4399i −0.850321 + 0.850321i −0.990173 0.139851i \(-0.955338\pi\)
0.139851 + 0.990173i \(0.455338\pi\)
\(182\) 4.84429 + 3.44317i 0.359083 + 0.255225i
\(183\) 0.0833820i 0.00616377i
\(184\) −7.19430 + 6.53684i −0.530371 + 0.481902i
\(185\) 7.35543 + 4.24666i 0.540782 + 0.312220i
\(186\) 0.774212 0.267887i 0.0567680 0.0196424i
\(187\) 0.382289 + 0.102434i 0.0279557 + 0.00749071i
\(188\) −23.1475 + 3.32426i −1.68821 + 0.242447i
\(189\) 0.304708 + 0.814556i 0.0221643 + 0.0592502i
\(190\) 7.26745 0.519184i 0.527237 0.0376655i
\(191\) 9.34430 + 16.1848i 0.676130 + 1.17109i 0.976137 + 0.217155i \(0.0696776\pi\)
−0.300007 + 0.953937i \(0.596989\pi\)
\(192\) −0.338271 + 0.279023i −0.0244126 + 0.0201367i
\(193\) 6.43756 11.1502i 0.463386 0.802608i −0.535741 0.844382i \(-0.679968\pi\)
0.999127 + 0.0417743i \(0.0133010\pi\)
\(194\) −5.86136 8.66168i −0.420821 0.621872i
\(195\) −0.0615638 0.0615638i −0.00440868 0.00440868i
\(196\) 13.2219 4.60229i 0.944422 0.328735i
\(197\) 7.59428 7.59428i 0.541070 0.541070i −0.382772 0.923843i \(-0.625031\pi\)
0.923843 + 0.382772i \(0.125031\pi\)
\(198\) −3.44950 + 17.8899i −0.245145 + 1.27138i
\(199\) 16.3480 + 9.43854i 1.15888 + 0.669080i 0.951036 0.309081i \(-0.100022\pi\)
0.207845 + 0.978162i \(0.433355\pi\)
\(200\) −2.69391 0.861876i −0.190488 0.0609438i
\(201\) −0.547273 + 0.315968i −0.0386016 + 0.0222867i
\(202\) −13.9496 + 16.0960i −0.981487 + 1.13251i
\(203\) −5.42331 + 2.02875i −0.380642 + 0.142390i
\(204\) 0.00807892 + 0.00604986i 0.000565638 + 0.000423575i
\(205\) 0.274586 1.02477i 0.0191779 0.0715728i
\(206\) 14.5802 + 7.08409i 1.01585 + 0.493572i
\(207\) −5.14991 + 8.91991i −0.357944 + 0.619977i
\(208\) 0.149133 + 6.35188i 0.0103405 + 0.440424i
\(209\) 22.1465 1.53191
\(210\) −0.202219 + 0.0341883i −0.0139545 + 0.00235922i
\(211\) 0.239244 + 0.239244i 0.0164702 + 0.0164702i 0.715294 0.698824i \(-0.246293\pi\)
−0.698824 + 0.715294i \(0.746293\pi\)
\(212\) −6.63144 0.793981i −0.455449 0.0545309i
\(213\) −0.0618162 0.230701i −0.00423558 0.0158074i
\(214\) 5.34187 + 15.4384i 0.365163 + 1.05535i
\(215\) 1.35111 0.780066i 0.0921452 0.0532001i
\(216\) −0.502841 + 0.782016i −0.0342140 + 0.0532095i
\(217\) −16.2416 22.7617i −1.10255 1.54516i
\(218\) 11.0801 + 9.60255i 0.750440 + 0.650367i
\(219\) 0.344659 + 0.0923512i 0.0232899 + 0.00624052i
\(220\) −7.98095 3.19660i −0.538076 0.215515i
\(221\) 0.141260 0.0378506i 0.00950220 0.00254611i
\(222\) 0.368977 + 0.545259i 0.0247641 + 0.0365954i
\(223\) −11.1607 −0.747377 −0.373689 0.927554i \(-0.621907\pi\)
−0.373689 + 0.927554i \(0.621907\pi\)
\(224\) 12.3993 + 8.38201i 0.828461 + 0.560047i
\(225\) −2.99700 −0.199800
\(226\) −13.8100 20.4078i −0.918626 1.35751i
\(227\) −19.1915 + 5.14234i −1.27378 + 0.341309i −0.831479 0.555556i \(-0.812505\pi\)
−0.442304 + 0.896865i \(0.645839\pi\)
\(228\) 0.524292 + 0.209994i 0.0347221 + 0.0139072i
\(229\) −4.47038 1.19783i −0.295411 0.0791551i 0.108070 0.994143i \(-0.465533\pi\)
−0.403481 + 0.914988i \(0.632200\pi\)
\(230\) −3.67287 3.18309i −0.242182 0.209887i
\(231\) −0.620511 + 0.0598551i −0.0408266 + 0.00393817i
\(232\) −5.20666 3.34792i −0.341834 0.219801i
\(233\) 16.6167 9.59366i 1.08860 0.628502i 0.155394 0.987853i \(-0.450335\pi\)
0.933203 + 0.359351i \(0.117002\pi\)
\(234\) 2.20140 + 6.36221i 0.143910 + 0.415910i
\(235\) −3.02624 11.2941i −0.197410 0.736746i
\(236\) −1.26310 0.151231i −0.0822210 0.00984430i
\(237\) −0.580443 0.580443i −0.0377039 0.0377039i
\(238\) 0.120103 0.322877i 0.00778510 0.0209290i
\(239\) −8.27520 −0.535278 −0.267639 0.963519i \(-0.586244\pi\)
−0.267639 + 0.963519i \(0.586244\pi\)
\(240\) −0.158629 0.151351i −0.0102395 0.00976967i
\(241\) −11.3026 + 19.5766i −0.728063 + 1.26104i 0.229637 + 0.973276i \(0.426246\pi\)
−0.957701 + 0.287766i \(0.907087\pi\)
\(242\) −9.51275 4.62197i −0.611503 0.297111i
\(243\) −0.382524 + 1.42760i −0.0245389 + 0.0915804i
\(244\) 2.43531 + 1.82367i 0.155905 + 0.116749i
\(245\) 3.07074 + 6.29051i 0.196182 + 0.401886i
\(246\) 0.0538598 0.0621473i 0.00343397 0.00396236i
\(247\) 7.08705 4.09171i 0.450938 0.260349i
\(248\) 9.10893 28.4712i 0.578417 1.80792i
\(249\) 0.185716 + 0.107223i 0.0117693 + 0.00679501i
\(250\) 0.267755 1.38864i 0.0169343 0.0878250i
\(251\) 20.9798 20.9798i 1.32423 1.32423i 0.413916 0.910315i \(-0.364161\pi\)
0.910315 0.413916i \(-0.135839\pi\)
\(252\) 15.2198 + 4.45570i 0.958757 + 0.280683i
\(253\) −10.4463 10.4463i −0.656752 0.656752i
\(254\) −10.2945 15.2127i −0.645932 0.954532i
\(255\) −0.00252326 + 0.00437042i −0.000158013 + 0.000273686i
\(256\) 0.750898 + 15.9824i 0.0469311 + 0.998898i
\(257\) 3.54478 + 6.13974i 0.221117 + 0.382986i 0.955148 0.296130i \(-0.0956963\pi\)
−0.734030 + 0.679117i \(0.762363\pi\)
\(258\) 0.120628 0.00861763i 0.00750999 0.000536510i
\(259\) 14.2905 17.3418i 0.887967 1.07756i
\(260\) −3.14456 + 0.451596i −0.195017 + 0.0280068i
\(261\) −6.33557 1.69761i −0.392162 0.105079i
\(262\) −15.5816 + 5.39143i −0.962635 + 0.333083i
\(263\) −1.65374 0.954790i −0.101974 0.0588749i 0.448146 0.893961i \(-0.352085\pi\)
−0.550120 + 0.835086i \(0.685418\pi\)
\(264\) −0.448162 0.493237i −0.0275825 0.0303567i
\(265\) 3.33940i 0.205138i
\(266\) 1.81545 19.1912i 0.111313 1.17669i
\(267\) 0.280985 0.280985i 0.0171960 0.0171960i
\(268\) −2.74117 + 22.8947i −0.167444 + 1.39851i
\(269\) −10.6256 + 2.84712i −0.647854 + 0.173592i −0.567759 0.823195i \(-0.692189\pi\)
−0.0800959 + 0.996787i \(0.525523\pi\)
\(270\) −0.418124 0.203154i −0.0254462 0.0123636i
\(271\) −5.22159 9.04406i −0.317189 0.549387i 0.662711 0.748875i \(-0.269406\pi\)
−0.979900 + 0.199488i \(0.936072\pi\)
\(272\) 0.353393 0.103640i 0.0214276 0.00628413i
\(273\) −0.187509 + 0.133797i −0.0113486 + 0.00809778i
\(274\) −1.57301 22.0187i −0.0950289 1.33020i
\(275\) 1.11257 4.15219i 0.0670908 0.250386i
\(276\) −0.148251 0.346355i −0.00892366 0.0208481i
\(277\) −4.32374 16.1364i −0.259788 0.969543i −0.965364 0.260908i \(-0.915978\pi\)
0.705575 0.708635i \(-0.250689\pi\)
\(278\) −6.77799 1.30692i −0.406517 0.0783841i
\(279\) 31.6744i 1.89630i
\(280\) −3.42427 + 6.65390i −0.204639 + 0.397647i
\(281\) 3.30344i 0.197067i −0.995134 0.0985333i \(-0.968585\pi\)
0.995134 0.0985333i \(-0.0314151\pi\)
\(282\) 0.171602 0.889967i 0.0102188 0.0529968i
\(283\) −3.02969 11.3070i −0.180096 0.672129i −0.995627 0.0934151i \(-0.970222\pi\)
0.815531 0.578713i \(-0.196445\pi\)
\(284\) −8.09003 3.24029i −0.480055 0.192276i
\(285\) −0.0730882 + 0.272769i −0.00432937 + 0.0161574i
\(286\) −9.63174 + 0.688087i −0.569537 + 0.0406875i
\(287\) −2.55439 1.16358i −0.150781 0.0686838i
\(288\) 5.91820 + 15.8871i 0.348733 + 0.936153i
\(289\) 8.49576 + 14.7151i 0.499751 + 0.865594i
\(290\) 1.35260 2.78387i 0.0794275 0.163475i
\(291\) 0.391540 0.104913i 0.0229525 0.00615011i
\(292\) 10.2354 8.04652i 0.598983 0.470887i
\(293\) −0.331571 + 0.331571i −0.0193706 + 0.0193706i −0.716726 0.697355i \(-0.754360\pi\)
0.697355 + 0.716726i \(0.254360\pi\)
\(294\) 0.00100161 + 0.542614i 5.84153e−5 + 0.0316459i
\(295\) 0.636062i 0.0370330i
\(296\) 23.9952 + 1.14891i 1.39469 + 0.0667790i
\(297\) −1.22370 0.706505i −0.0710064 0.0409956i
\(298\) 1.88285 + 5.44157i 0.109070 + 0.315221i
\(299\) −5.27290 1.41287i −0.304940 0.0817084i
\(300\) 0.0657099 0.0877484i 0.00379376 0.00506615i
\(301\) −1.44622 3.86608i −0.0833586 0.222837i
\(302\) −1.16178 16.2624i −0.0668530 0.935799i
\(303\) −0.412766 0.714932i −0.0237128 0.0410717i
\(304\) 17.6002 10.7200i 1.00944 0.614834i
\(305\) −0.760613 + 1.31742i −0.0435526 + 0.0754353i
\(306\) 0.323183 0.218698i 0.0184751 0.0125021i
\(307\) 0.624174 + 0.624174i 0.0356235 + 0.0356235i 0.724694 0.689071i \(-0.241981\pi\)
−0.689071 + 0.724694i \(0.741981\pi\)
\(308\) −11.8232 + 19.4322i −0.673689 + 1.10725i
\(309\) −0.444256 + 0.444256i −0.0252729 + 0.0252729i
\(310\) 14.6761 + 2.82983i 0.833546 + 0.160723i
\(311\) −12.7140 7.34042i −0.720944 0.416237i 0.0941562 0.995557i \(-0.469985\pi\)
−0.815100 + 0.579320i \(0.803318\pi\)
\(312\) −0.234544 0.0750387i −0.0132784 0.00424823i
\(313\) 0.429786 0.248137i 0.0242929 0.0140255i −0.487804 0.872953i \(-0.662202\pi\)
0.512097 + 0.858927i \(0.328869\pi\)
\(314\) 15.2592 + 13.2244i 0.861127 + 0.746293i
\(315\) −1.30738 + 7.82078i −0.0736626 + 0.440651i
\(316\) −29.6479 + 4.25779i −1.66782 + 0.239520i
\(317\) −8.83678 + 32.9793i −0.496323 + 1.85230i 0.0261676 + 0.999658i \(0.491670\pi\)
−0.522491 + 0.852645i \(0.674997\pi\)
\(318\) 0.113126 0.232831i 0.00634377 0.0130565i
\(319\) 4.70391 8.14740i 0.263368 0.456167i
\(320\) −7.88988 + 1.32278i −0.441058 + 0.0739459i
\(321\) −0.633171 −0.0353402
\(322\) −9.90862 + 8.19596i −0.552186 + 0.456743i
\(323\) −0.335407 0.335407i −0.0186625 0.0186625i
\(324\) 11.0911 + 14.1083i 0.616175 + 0.783793i
\(325\) −0.411110 1.53428i −0.0228043 0.0851068i
\(326\) 17.2563 5.97089i 0.955739 0.330697i
\(327\) −0.492143 + 0.284139i −0.0272155 + 0.0157129i
\(328\) −0.637134 2.93231i −0.0351798 0.161910i
\(329\) −30.7925 + 2.97028i −1.69765 + 0.163757i
\(330\) 0.218231 0.251810i 0.0120132 0.0138617i
\(331\) −29.6386 7.94165i −1.62909 0.436512i −0.675433 0.737421i \(-0.736043\pi\)
−0.953653 + 0.300909i \(0.902710\pi\)
\(332\) 7.19350 3.07905i 0.394795 0.168985i
\(333\) 24.5871 6.58809i 1.34736 0.361025i
\(334\) −10.8724 + 7.35734i −0.594909 + 0.402576i
\(335\) −11.5291 −0.629901
\(336\) −0.464155 + 0.347925i −0.0253218 + 0.0189808i
\(337\) −28.4269 −1.54851 −0.774255 0.632873i \(-0.781875\pi\)
−0.774255 + 0.632873i \(0.781875\pi\)
\(338\) 12.2711 8.30385i 0.667459 0.451670i
\(339\) 0.922509 0.247186i 0.0501038 0.0134253i
\(340\) 0.0724586 + 0.169283i 0.00392962 + 0.00918066i
\(341\) 43.8833 + 11.7585i 2.37641 + 0.636758i
\(342\) 14.3009 16.5014i 0.773305 0.892294i
\(343\) 17.7549 5.26911i 0.958674 0.284505i
\(344\) 2.38660 3.71163i 0.128677 0.200118i
\(345\) 0.163137 0.0941873i 0.00878301 0.00507087i
\(346\) 27.4492 9.49776i 1.47568 0.510603i
\(347\) −1.14244 4.26364i −0.0613293 0.228884i 0.928458 0.371438i \(-0.121135\pi\)
−0.989787 + 0.142554i \(0.954469\pi\)
\(348\) 0.188613 0.148277i 0.0101107 0.00794849i
\(349\) −7.51614 7.51614i −0.402330 0.402330i 0.476724 0.879053i \(-0.341824\pi\)
−0.879053 + 0.476724i \(0.841824\pi\)
\(350\) −3.50690 1.30448i −0.187452 0.0697275i
\(351\) −0.522125 −0.0278690
\(352\) −24.2077 + 2.30161i −1.29028 + 0.122676i
\(353\) 8.83437 15.3016i 0.470206 0.814420i −0.529214 0.848489i \(-0.677513\pi\)
0.999420 + 0.0340682i \(0.0108464\pi\)
\(354\) 0.0215472 0.0443477i 0.00114522 0.00235705i
\(355\) 1.12778 4.20893i 0.0598563 0.223387i
\(356\) −2.06114 14.3521i −0.109240 0.760661i
\(357\) 0.0103041 + 0.00849107i 0.000545349 + 0.000449395i
\(358\) −4.15865 3.60409i −0.219792 0.190482i
\(359\) 8.05757 4.65204i 0.425262 0.245525i −0.272064 0.962279i \(-0.587706\pi\)
0.697326 + 0.716754i \(0.254373\pi\)
\(360\) −7.53541 + 3.88245i −0.397151 + 0.204623i
\(361\) −6.53219 3.77136i −0.343799 0.198493i
\(362\) −22.4660 4.33186i −1.18079 0.227678i
\(363\) 0.289852 0.289852i 0.0152133 0.0152133i
\(364\) −0.193292 + 8.40285i −0.0101313 + 0.440429i
\(365\) 4.60313 + 4.60313i 0.240939 + 0.240939i
\(366\) −0.0976607 + 0.0660870i −0.00510480 + 0.00345443i
\(367\) −9.32653 + 16.1540i −0.486841 + 0.843234i −0.999886 0.0151285i \(-0.995184\pi\)
0.513044 + 0.858362i \(0.328518\pi\)
\(368\) −13.3583 3.24530i −0.696350 0.169173i
\(369\) −1.58978 2.75358i −0.0827607 0.143346i
\(370\) 0.855905 + 11.9808i 0.0444964 + 0.622853i
\(371\) −8.71431 1.45675i −0.452424 0.0756306i
\(372\) 0.927388 + 0.694470i 0.0480828 + 0.0360066i
\(373\) 10.9858 + 2.94363i 0.568822 + 0.152415i 0.531756 0.846897i \(-0.321532\pi\)
0.0370657 + 0.999313i \(0.488199\pi\)
\(374\) 0.183020 + 0.528941i 0.00946373 + 0.0273509i
\(375\) 0.0474689 + 0.0274062i 0.00245128 + 0.00141525i
\(376\) −22.2398 24.4767i −1.14693 1.26229i
\(377\) 3.47631i 0.179039i
\(378\) −0.712538 + 1.00249i −0.0366490 + 0.0515625i
\(379\) −12.7256 + 12.7256i −0.653673 + 0.653673i −0.953875 0.300203i \(-0.902946\pi\)
0.300203 + 0.953875i \(0.402946\pi\)
\(380\) 6.36815 + 8.10047i 0.326679 + 0.415545i
\(381\) 0.687673 0.184261i 0.0352305 0.00943999i
\(382\) −11.5502 + 23.7723i −0.590962 + 1.21629i
\(383\) 9.81665 + 17.0029i 0.501608 + 0.868810i 0.999998 + 0.00185718i \(0.000591160\pi\)
−0.498391 + 0.866953i \(0.666076\pi\)
\(384\) −0.594911 0.175050i −0.0303589 0.00893299i
\(385\) −10.3500 4.71462i −0.527483 0.240279i
\(386\) 18.1619 1.29748i 0.924416 0.0660399i
\(387\) 1.21016 4.51639i 0.0615160 0.229581i
\(388\) 5.49933 13.7302i 0.279186 0.697044i
\(389\) −5.78305 21.5826i −0.293212 1.09428i −0.942627 0.333848i \(-0.891653\pi\)
0.649415 0.760434i \(-0.275014\pi\)
\(390\) 0.0233119 0.120901i 0.00118044 0.00612204i
\(391\) 0.316416i 0.0160018i
\(392\) 15.8699 + 11.8384i 0.801549 + 0.597929i
\(393\) 0.639045i 0.0322355i
\(394\) 14.9139 + 2.87567i 0.751349 + 0.144874i
\(395\) −3.87608 14.4657i −0.195027 0.727850i
\(396\) −23.6874 + 10.1390i −1.19034 + 0.509503i
\(397\) −7.74113 + 28.8903i −0.388516 + 1.44996i 0.444033 + 0.896011i \(0.353547\pi\)
−0.832549 + 0.553952i \(0.813119\pi\)
\(398\) 1.90232 + 26.6284i 0.0953546 + 1.33476i
\(399\) 0.679918 + 0.309717i 0.0340385 + 0.0155052i
\(400\) −1.12568 3.83834i −0.0562840 0.191917i
\(401\) 6.84101 + 11.8490i 0.341624 + 0.591710i 0.984734 0.174063i \(-0.0556898\pi\)
−0.643111 + 0.765773i \(0.722356\pi\)
\(402\) −0.803834 0.390560i −0.0400916 0.0194793i
\(403\) 16.2154 4.34491i 0.807748 0.216435i
\(404\) −29.9085 3.58094i −1.48800 0.178158i
\(405\) −6.34485 + 6.34485i −0.315278 + 0.315278i
\(406\) −6.67458 4.74408i −0.331254 0.235445i
\(407\) 36.5099i 1.80973i
\(408\) −0.000682655 0.0142574i −3.37965e−5 0.000705847i
\(409\) 16.4688 + 9.50825i 0.814328 + 0.470153i 0.848457 0.529265i \(-0.177532\pi\)
−0.0341283 + 0.999417i \(0.510866\pi\)
\(410\) 1.41788 0.490605i 0.0700243 0.0242293i
\(411\) 0.826427 + 0.221441i 0.0407647 + 0.0109229i
\(412\) 3.25880 + 22.6917i 0.160550 + 1.11794i
\(413\) −1.65983 0.277470i −0.0816749 0.0136534i
\(414\) −14.5291 + 1.03795i −0.714068 + 0.0510127i
\(415\) 1.95619 + 3.38822i 0.0960257 + 0.166321i
\(416\) −7.32141 + 5.20906i −0.358962 + 0.255395i
\(417\) 0.133771 0.231698i 0.00655079 0.0113463i
\(418\) 17.5529 + 25.9390i 0.858543 + 1.26872i
\(419\) 6.18898 + 6.18898i 0.302352 + 0.302352i 0.841933 0.539582i \(-0.181418\pi\)
−0.539582 + 0.841933i \(0.681418\pi\)
\(420\) −0.200318 0.209751i −0.00977453 0.0102348i
\(421\) −11.3351 + 11.3351i −0.552441 + 0.552441i −0.927145 0.374704i \(-0.877744\pi\)
0.374704 + 0.927145i \(0.377744\pi\)
\(422\) −0.0905926 + 0.469833i −0.00440998 + 0.0228711i
\(423\) −30.3476 17.5212i −1.47555 0.851910i
\(424\) −4.32602 8.39633i −0.210090 0.407762i
\(425\) −0.0797343 + 0.0460346i −0.00386768 + 0.00223301i
\(426\) 0.221213 0.255252i 0.0107178 0.0123670i
\(427\) 3.10606 + 2.55955i 0.150313 + 0.123865i
\(428\) −13.8483 + 18.4928i −0.669381 + 0.893885i
\(429\) 0.0968656 0.361508i 0.00467672 0.0174537i
\(430\) 1.98452 + 0.964218i 0.0957019 + 0.0464987i
\(431\) 16.1722 28.0111i 0.778988 1.34925i −0.153537 0.988143i \(-0.549067\pi\)
0.932525 0.361104i \(-0.117600\pi\)
\(432\) −1.31448 + 0.0308619i −0.0632427 + 0.00148484i
\(433\) 7.42066 0.356614 0.178307 0.983975i \(-0.442938\pi\)
0.178307 + 0.983975i \(0.442938\pi\)
\(434\) 13.7867 37.0634i 0.661783 1.77910i
\(435\) 0.0848240 + 0.0848240i 0.00406700 + 0.00406700i
\(436\) −2.46504 + 20.5883i −0.118054 + 0.986002i
\(437\) 4.58261 + 17.1025i 0.219216 + 0.818125i
\(438\) 0.165005 + 0.476876i 0.00788425 + 0.0227860i
\(439\) −28.6395 + 16.5350i −1.36689 + 0.789173i −0.990529 0.137301i \(-0.956157\pi\)
−0.376359 + 0.926474i \(0.622824\pi\)
\(440\) −2.58156 11.8812i −0.123071 0.566415i
\(441\) 19.8383 + 6.82333i 0.944682 + 0.324920i
\(442\) 0.156293 + 0.135451i 0.00743409 + 0.00644274i
\(443\) −10.0528 2.69364i −0.477622 0.127978i 0.0119730 0.999928i \(-0.496189\pi\)
−0.489595 + 0.871950i \(0.662855\pi\)
\(444\) −0.346187 + 0.864325i −0.0164293 + 0.0410191i
\(445\) 7.00266 1.87636i 0.331958 0.0889479i
\(446\) −8.84579 13.0719i −0.418860 0.618974i
\(447\) −0.223174 −0.0105557
\(448\) 0.0100548 + 21.1660i 0.000475045 + 1.00000i
\(449\) 18.1951 0.858681 0.429341 0.903143i \(-0.358746\pi\)
0.429341 + 0.903143i \(0.358746\pi\)
\(450\) −2.37536 3.51021i −0.111976 0.165473i
\(451\) 4.40513 1.18035i 0.207429 0.0555805i
\(452\) 12.9570 32.3497i 0.609445 1.52160i
\(453\) 0.610377 + 0.163550i 0.0286780 + 0.00768425i
\(454\) −21.2338 18.4022i −0.996549 0.863657i
\(455\) −4.18312 + 0.403508i −0.196108 + 0.0189167i
\(456\) 0.169590 + 0.780511i 0.00794178 + 0.0365508i
\(457\) −8.52955 + 4.92454i −0.398996 + 0.230360i −0.686051 0.727554i \(-0.740657\pi\)
0.287055 + 0.957914i \(0.407324\pi\)
\(458\) −2.14019 6.18529i −0.100004 0.289020i
\(459\) 0.00783290 + 0.0292328i 0.000365609 + 0.00136447i
\(460\) 0.817119 6.82469i 0.0380984 0.318203i
\(461\) 20.6665 + 20.6665i 0.962535 + 0.962535i 0.999323 0.0367880i \(-0.0117126\pi\)
−0.0367880 + 0.999323i \(0.511713\pi\)
\(462\) −0.561910 0.679330i −0.0261424 0.0316053i
\(463\) −5.12137 −0.238010 −0.119005 0.992894i \(-0.537970\pi\)
−0.119005 + 0.992894i \(0.537970\pi\)
\(464\) −0.205479 8.75177i −0.00953910 0.406291i
\(465\) −0.289648 + 0.501685i −0.0134321 + 0.0232651i
\(466\) 24.4066 + 11.8585i 1.13062 + 0.549333i
\(467\) 4.03197 15.0475i 0.186577 0.696315i −0.807710 0.589580i \(-0.799293\pi\)
0.994287 0.106736i \(-0.0340399\pi\)
\(468\) −5.70691 + 7.62095i −0.263802 + 0.352279i
\(469\) −5.02934 + 30.0856i −0.232233 + 1.38922i
\(470\) 10.8296 12.4960i 0.499532 0.576396i
\(471\) −0.677764 + 0.391307i −0.0312297 + 0.0180305i
\(472\) −0.823984 1.59926i −0.0379269 0.0736121i
\(473\) 5.80798 + 3.35324i 0.267051 + 0.154182i
\(474\) 0.219792 1.13989i 0.0100954 0.0523569i
\(475\) −3.64299 + 3.64299i −0.167152 + 0.167152i
\(476\) 0.473359 0.115237i 0.0216964 0.00528189i
\(477\) −7.07685 7.07685i −0.324027 0.324027i
\(478\) −6.55878 9.69229i −0.299992 0.443315i
\(479\) −4.22458 + 7.31719i −0.193026 + 0.334331i −0.946252 0.323431i \(-0.895163\pi\)
0.753226 + 0.657762i \(0.228497\pi\)
\(480\) 0.0515426 0.305751i 0.00235259 0.0139556i
\(481\) 6.74543 + 11.6834i 0.307565 + 0.532718i
\(482\) −31.8873 + 2.27801i −1.45243 + 0.103761i
\(483\) −0.174620 0.466800i −0.00794549 0.0212402i
\(484\) −2.12618 14.8050i −0.0966447 0.672957i
\(485\) 7.14329 + 1.91404i 0.324360 + 0.0869120i
\(486\) −1.97525 + 0.683459i −0.0895990 + 0.0310023i
\(487\) 24.9452 + 14.4021i 1.13037 + 0.652622i 0.944029 0.329862i \(-0.107002\pi\)
0.186346 + 0.982484i \(0.440336\pi\)
\(488\) −0.205780 + 4.29775i −0.00931521 + 0.194550i
\(489\) 0.707729i 0.0320046i
\(490\) −4.93391 + 8.58234i −0.222892 + 0.387710i
\(491\) −16.8144 + 16.8144i −0.758824 + 0.758824i −0.976108 0.217284i \(-0.930280\pi\)
0.217284 + 0.976108i \(0.430280\pi\)
\(492\) 0.115478 + 0.0138262i 0.00520615 + 0.000623331i
\(493\) −0.194632 + 0.0521514i −0.00876578 + 0.00234878i
\(494\) 10.4095 + 5.05765i 0.468344 + 0.227555i
\(495\) −6.44153 11.1571i −0.289525 0.501473i
\(496\) 40.5663 11.8970i 1.82148 0.534191i
\(497\) −10.4914 4.77905i −0.470604 0.214370i
\(498\) 0.0216107 + 0.302503i 0.000968397 + 0.0135555i
\(499\) 0.577835 2.15651i 0.0258675 0.0965387i −0.951785 0.306765i \(-0.900753\pi\)
0.977653 + 0.210226i \(0.0674201\pi\)
\(500\) 1.83865 0.787001i 0.0822269 0.0351958i
\(501\) −0.131689 0.491472i −0.00588345 0.0219573i
\(502\) 41.2006 + 7.94425i 1.83887 + 0.354569i
\(503\) 35.7158i 1.59249i 0.604976 + 0.796244i \(0.293183\pi\)
−0.604976 + 0.796244i \(0.706817\pi\)
\(504\) 6.84422 + 21.3576i 0.304866 + 0.951344i
\(505\) 15.0611i 0.670208i
\(506\) 3.95562 20.5147i 0.175849 0.911989i
\(507\) 0.148631 + 0.554699i 0.00660094 + 0.0246350i
\(508\) 9.65862 24.1147i 0.428532 1.06992i
\(509\) 7.19965 26.8695i 0.319119 1.19097i −0.600974 0.799269i \(-0.705220\pi\)
0.920093 0.391700i \(-0.128113\pi\)
\(510\) −0.00711873 0.000508559i −0.000315223 2.25194e-5i
\(511\) 14.0201 10.0040i 0.620212 0.442552i
\(512\) −18.1241 + 13.5468i −0.800980 + 0.598691i
\(513\) 0.846749 + 1.46661i 0.0373849 + 0.0647525i
\(514\) −4.38161 + 9.01805i −0.193264 + 0.397769i
\(515\) −11.0717 + 2.96665i −0.487877 + 0.130726i
\(516\) 0.105701 + 0.134455i 0.00465323 + 0.00591905i
\(517\) 35.5407 35.5407i 1.56308 1.56308i
\(518\) 31.6378 + 2.99288i 1.39009 + 0.131500i
\(519\) 1.12577i 0.0494157i
\(520\) −3.02125 3.32512i −0.132490 0.145816i
\(521\) 30.3669 + 17.5323i 1.33040 + 0.768106i 0.985361 0.170483i \(-0.0545328\pi\)
0.345038 + 0.938589i \(0.387866\pi\)
\(522\) −3.03314 8.76599i −0.132757 0.383677i
\(523\) 12.9435 + 3.46820i 0.565980 + 0.151654i 0.530452 0.847715i \(-0.322022\pi\)
0.0355279 + 0.999369i \(0.488689\pi\)
\(524\) −18.6644 13.9767i −0.815357 0.610576i
\(525\) 0.0922249 0.111917i 0.00402502 0.00488444i
\(526\) −0.192436 2.69369i −0.00839060 0.117450i
\(527\) −0.486527 0.842689i −0.0211934 0.0367081i
\(528\) 0.222496 0.915839i 0.00968290 0.0398568i
\(529\) −5.59449 + 9.68993i −0.243238 + 0.421301i
\(530\) 3.91126 2.64675i 0.169894 0.114967i
\(531\) −1.34794 1.34794i −0.0584956 0.0584956i
\(532\) 23.9165 13.0843i 1.03691 0.567275i
\(533\) 1.19160 1.19160i 0.0516137 0.0516137i
\(534\) 0.551805 + 0.106398i 0.0238789 + 0.00460431i
\(535\) −10.0040 5.77581i −0.432510 0.249710i
\(536\) −28.9878 + 14.9353i −1.25208 + 0.645107i
\(537\) 0.184714 0.106645i 0.00797099 0.00460205i
\(538\) −11.7563 10.1886i −0.506852 0.439262i
\(539\) −16.8180 + 24.9520i −0.724401 + 1.07476i
\(540\) −0.0934544 0.650742i −0.00402164 0.0280035i
\(541\) −7.51470 + 28.0452i −0.323082 + 1.20576i 0.593144 + 0.805097i \(0.297887\pi\)
−0.916226 + 0.400662i \(0.868780\pi\)
\(542\) 6.45426 13.2839i 0.277234 0.570593i
\(543\) 0.443390 0.767974i 0.0190277 0.0329569i
\(544\) 0.401481 + 0.331766i 0.0172134 + 0.0142243i
\(545\) −10.3677 −0.444103
\(546\) −0.305326 0.113574i −0.0130667 0.00486051i
\(547\) 22.8846 + 22.8846i 0.978475 + 0.978475i 0.999773 0.0212980i \(-0.00677986\pi\)
−0.0212980 + 0.999773i \(0.506780\pi\)
\(548\) 24.5426 19.2940i 1.04841 0.824200i
\(549\) 1.17998 + 4.40376i 0.0503605 + 0.187948i
\(550\) 5.74503 1.98785i 0.244969 0.0847622i
\(551\) −9.76470 + 5.63765i −0.415990 + 0.240172i
\(552\) 0.288165 0.448153i 0.0122651 0.0190746i
\(553\) −39.4398 + 3.80440i −1.67715 + 0.161780i
\(554\) 15.4728 17.8536i 0.657375 0.758526i
\(555\) −0.449676 0.120490i −0.0190877 0.00511452i
\(556\) −3.84139 8.97453i −0.162911 0.380605i
\(557\) 28.7888 7.71394i 1.21982 0.326850i 0.409213 0.912439i \(-0.365803\pi\)
0.810609 + 0.585588i \(0.199136\pi\)
\(558\) 37.0985 25.1046i 1.57050 1.06276i
\(559\) 2.47813 0.104814
\(560\) −10.5074 + 1.26311i −0.444017 + 0.0533760i
\(561\) −0.0216933 −0.000915892
\(562\) 3.86913 2.61825i 0.163210 0.110444i
\(563\) 26.3750 7.06715i 1.11157 0.297845i 0.344104 0.938932i \(-0.388183\pi\)
0.767469 + 0.641087i \(0.221516\pi\)
\(564\) 1.17838 0.504384i 0.0496187 0.0212384i
\(565\) 16.8303 + 4.50967i 0.708057 + 0.189723i
\(566\) 10.8419 12.5102i 0.455720 0.525843i
\(567\) 13.7893 + 19.3250i 0.579097 + 0.811572i
\(568\) −2.61684 12.0436i −0.109800 0.505338i
\(569\) 15.9799 9.22603i 0.669914 0.386775i −0.126130 0.992014i \(-0.540256\pi\)
0.796044 + 0.605239i \(0.206922\pi\)
\(570\) −0.377407 + 0.130588i −0.0158079 + 0.00546971i
\(571\) −1.16357 4.34249i −0.0486938 0.181728i 0.937296 0.348535i \(-0.113321\pi\)
−0.985989 + 0.166808i \(0.946654\pi\)
\(572\) −8.43986 10.7358i −0.352888 0.448885i
\(573\) −0.724336 0.724336i −0.0302596 0.0302596i
\(574\) −0.661730 3.91404i −0.0276201 0.163369i
\(575\) 3.43672 0.143321
\(576\) −13.9170 + 19.5234i −0.579874 + 0.813477i
\(577\) 6.03648 10.4555i 0.251302 0.435267i −0.712583 0.701588i \(-0.752475\pi\)
0.963884 + 0.266321i \(0.0858080\pi\)
\(578\) −10.5014 + 21.6135i −0.436800 + 0.899004i
\(579\) −0.182653 + 0.681669i −0.00759079 + 0.0283292i
\(580\) 4.33264 0.622219i 0.179903 0.0258363i
\(581\) 9.69506 3.62672i 0.402219 0.150462i
\(582\) 0.433207 + 0.375437i 0.0179570 + 0.0155624i
\(583\) 12.4318 7.17748i 0.514871 0.297261i
\(584\) 17.5369 + 5.61065i 0.725680 + 0.232170i
\(585\) −4.12267 2.38023i −0.170452 0.0984103i
\(586\) −0.651148 0.125554i −0.0268987 0.00518657i
\(587\) 32.8170 32.8170i 1.35450 1.35450i 0.473954 0.880550i \(-0.342826\pi\)
0.880550 0.473954i \(-0.157174\pi\)
\(588\) −0.634739 + 0.431239i −0.0261762 + 0.0177840i
\(589\) −38.5017 38.5017i −1.58644 1.58644i
\(590\) 0.744984 0.504131i 0.0306705 0.0207548i
\(591\) −0.294340 + 0.509813i −0.0121076 + 0.0209709i
\(592\) 17.6725 + 29.0149i 0.726337 + 1.19250i
\(593\) 16.6548 + 28.8469i 0.683929 + 1.18460i 0.973772 + 0.227526i \(0.0730636\pi\)
−0.289843 + 0.957074i \(0.593603\pi\)
\(594\) −0.142395 1.99322i −0.00584252 0.0817827i
\(595\) 0.0853467 + 0.228152i 0.00349887 + 0.00935330i
\(596\) −4.88109 + 6.51816i −0.199937 + 0.266994i
\(597\) −0.999440 0.267799i −0.0409044 0.0109603i
\(598\) −2.52439 7.29568i −0.103230 0.298342i
\(599\) −4.51865 2.60884i −0.184627 0.106594i 0.404838 0.914388i \(-0.367328\pi\)
−0.589465 + 0.807794i \(0.700661\pi\)
\(600\) 0.154855 + 0.00741459i 0.00632194 + 0.000302699i
\(601\) 44.6299i 1.82049i 0.414068 + 0.910246i \(0.364108\pi\)
−0.414068 + 0.910246i \(0.635892\pi\)
\(602\) 3.38187 4.75806i 0.137835 0.193924i
\(603\) −24.4324 + 24.4324i −0.994964 + 0.994964i
\(604\) 18.1265 14.2501i 0.737557 0.579826i
\(605\) 7.22365 1.93557i 0.293683 0.0786921i
\(606\) 0.510209 1.05009i 0.0207258 0.0426571i
\(607\) −21.7108 37.6042i −0.881214 1.52631i −0.849993 0.526795i \(-0.823394\pi\)
−0.0312213 0.999512i \(-0.509940\pi\)
\(608\) 26.5053 + 12.1176i 1.07493 + 0.491434i
\(609\) 0.258355 0.184349i 0.0104691 0.00747020i
\(610\) −2.14587 + 0.153300i −0.0868837 + 0.00620694i
\(611\) 4.80691 17.9396i 0.194467 0.725760i
\(612\) 0.512298 + 0.205190i 0.0207084 + 0.00829431i
\(613\) 11.5491 + 43.1018i 0.466463 + 1.74086i 0.651992 + 0.758226i \(0.273934\pi\)
−0.185528 + 0.982639i \(0.559400\pi\)
\(614\) −0.236351 + 1.22577i −0.00953836 + 0.0494680i
\(615\) 0.0581513i 0.00234489i
\(616\) −32.1307 + 1.55374i −1.29458 + 0.0626019i
\(617\) 7.00581i 0.282043i −0.990007 0.141022i \(-0.954961\pi\)
0.990007 0.141022i \(-0.0450387\pi\)
\(618\) −0.872442 0.168223i −0.0350948 0.00676693i
\(619\) 5.73860 + 21.4167i 0.230654 + 0.860811i 0.980060 + 0.198701i \(0.0636723\pi\)
−0.749406 + 0.662110i \(0.769661\pi\)
\(620\) 8.31759 + 19.4322i 0.334043 + 0.780415i
\(621\) 0.292383 1.09119i 0.0117329 0.0437879i
\(622\) −1.47945 20.7091i −0.0593204 0.830358i
\(623\) −1.84166 19.0923i −0.0737844 0.764915i
\(624\) −0.0980066 0.334183i −0.00392341 0.0133780i
\(625\) 0.500000 + 0.866025i 0.0200000 + 0.0346410i
\(626\) 0.631269 + 0.306715i 0.0252306 + 0.0122588i
\(627\) −1.17254 + 0.314181i −0.0468268 + 0.0125472i
\(628\) −3.39478 + 28.3536i −0.135466 + 1.13143i
\(629\) 0.552938 0.552938i 0.0220471 0.0220471i
\(630\) −10.1963 + 4.66735i −0.406229 + 0.185952i
\(631\) 6.12412i 0.243797i 0.992543 + 0.121899i \(0.0388983\pi\)
−0.992543 + 0.121899i \(0.961102\pi\)
\(632\) −28.4853 31.3503i −1.13308 1.24705i
\(633\) −0.0160607 0.00927265i −0.000638355 0.000368555i
\(634\) −45.6307 + 15.7888i −1.81223 + 0.627053i
\(635\) 12.5459 + 3.36168i 0.497871 + 0.133404i
\(636\) 0.362363 0.0520397i 0.0143686 0.00206351i
\(637\) −0.771834 + 11.0920i −0.0305812 + 0.439483i
\(638\) 13.2708 0.948063i 0.525397 0.0375342i
\(639\) −6.52956 11.3095i −0.258306 0.447398i
\(640\) −7.80268 8.19257i −0.308428 0.323840i
\(641\) −4.74342 + 8.21585i −0.187354 + 0.324507i −0.944367 0.328893i \(-0.893324\pi\)
0.757013 + 0.653400i \(0.226658\pi\)
\(642\) −0.501840 0.741598i −0.0198061 0.0292686i
\(643\) −6.96556 6.96556i −0.274695 0.274695i 0.556292 0.830987i \(-0.312224\pi\)
−0.830987 + 0.556292i \(0.812224\pi\)
\(644\) −17.4529 5.10945i −0.687739 0.201340i
\(645\) −0.0604679 + 0.0604679i −0.00238092 + 0.00238092i
\(646\) 0.127006 0.658681i 0.00499699 0.0259155i
\(647\) 19.2229 + 11.0984i 0.755730 + 0.436321i 0.827761 0.561081i \(-0.189614\pi\)
−0.0720303 + 0.997402i \(0.522948\pi\)
\(648\) −7.73359 + 24.1724i −0.303804 + 0.949582i
\(649\) 2.36790 1.36711i 0.0929481 0.0536636i
\(650\) 1.47118 1.69756i 0.0577046 0.0665837i
\(651\) 1.18281 + 0.974699i 0.0463582 + 0.0382015i
\(652\) 20.6704 + 15.4789i 0.809516 + 0.606202i
\(653\) −9.82763 + 36.6772i −0.384585 + 1.43529i 0.454235 + 0.890882i \(0.349913\pi\)
−0.838820 + 0.544409i \(0.816754\pi\)
\(654\) −0.722859 0.351216i −0.0282660 0.0137336i
\(655\) 5.82939 10.0968i 0.227773 0.394514i
\(656\) 2.92947 3.07033i 0.114376 0.119876i
\(657\) 19.5099 0.761152
\(658\) −27.8845 33.7114i −1.08705 1.31421i
\(659\) −17.4235 17.4235i −0.678723 0.678723i 0.280989 0.959711i \(-0.409338\pi\)
−0.959711 + 0.280989i \(0.909338\pi\)
\(660\) 0.467897 + 0.0560213i 0.0182129 + 0.00218063i
\(661\) −2.98542 11.1417i −0.116119 0.433363i 0.883249 0.468904i \(-0.155351\pi\)
−0.999368 + 0.0355413i \(0.988684\pi\)
\(662\) −14.1894 41.0085i −0.551488 1.59384i
\(663\) −0.00694202 + 0.00400798i −0.000269606 + 0.000155657i
\(664\) 9.30776 + 5.98495i 0.361211 + 0.232261i
\(665\) 7.91734 + 11.0957i 0.307021 + 0.430273i
\(666\) 27.2035 + 23.5759i 1.05412 + 0.913547i
\(667\) 7.26513 + 1.94669i 0.281307 + 0.0753760i
\(668\) −17.2345 6.90290i −0.666822 0.267081i
\(669\) 0.590900 0.158331i 0.0228455 0.00612144i
\(670\) −9.13775 13.5034i −0.353022 0.521681i
\(671\) −6.53923 −0.252444
\(672\) −0.775386 0.267881i −0.0299112 0.0103337i
\(673\) 36.3086 1.39959 0.699797 0.714342i \(-0.253274\pi\)
0.699797 + 0.714342i \(0.253274\pi\)
\(674\) −22.5306 33.2948i −0.867848 1.28247i
\(675\) 0.317509 0.0850762i 0.0122209 0.00327459i
\(676\) 19.4517 + 7.79095i 0.748141 + 0.299652i
\(677\) −18.9675 5.08232i −0.728980 0.195330i −0.124805 0.992181i \(-0.539831\pi\)
−0.604175 + 0.796852i \(0.706497\pi\)
\(678\) 1.02068 + 0.884569i 0.0391989 + 0.0339717i
\(679\) 8.11088 17.8057i 0.311267 0.683322i
\(680\) −0.140842 + 0.219037i −0.00540106 + 0.00839970i
\(681\) 0.943134 0.544519i 0.0361410 0.0208660i
\(682\) 21.0090 + 60.7176i 0.804478 + 2.32500i
\(683\) 0.131227 + 0.489748i 0.00502128 + 0.0187397i 0.968391 0.249437i \(-0.0802456\pi\)
−0.963370 + 0.268177i \(0.913579\pi\)
\(684\) 30.6618 + 3.67114i 1.17238 + 0.140369i
\(685\) 11.0374 + 11.0374i 0.421718 + 0.421718i
\(686\) 20.2436 + 16.6191i 0.772906 + 0.634521i
\(687\) 0.253676 0.00967833
\(688\) 6.23881 0.146478i 0.237852 0.00558442i
\(689\) 2.65217 4.59369i 0.101040 0.175006i
\(690\) 0.239616 + 0.116422i 0.00912202 + 0.00443212i
\(691\) −12.1903 + 45.4948i −0.463740 + 1.73070i 0.197292 + 0.980345i \(0.436785\pi\)
−0.661032 + 0.750358i \(0.729881\pi\)
\(692\) 32.8799 + 24.6220i 1.24991 + 0.935987i
\(693\) −31.9248 + 11.9424i −1.21272 + 0.453654i
\(694\) 4.08829 4.71736i 0.155189 0.179068i
\(695\) 4.22711 2.44052i 0.160343 0.0925744i
\(696\) 0.323160 + 0.103390i 0.0122493 + 0.00391899i
\(697\) −0.0845915 0.0488389i −0.00320413 0.00184991i
\(698\) 2.84608 14.7604i 0.107726 0.558689i
\(699\) −0.743666 + 0.743666i −0.0281280 + 0.0281280i
\(700\) −1.25164 5.14134i −0.0473074 0.194324i
\(701\) −16.0612 16.0612i −0.606622 0.606622i 0.335440 0.942062i \(-0.391115\pi\)
−0.942062 + 0.335440i \(0.891115\pi\)
\(702\) −0.413827 0.611536i −0.0156189 0.0230809i
\(703\) 21.8786 37.8949i 0.825168 1.42923i
\(704\) −21.8824 26.5289i −0.824722 0.999847i
\(705\) 0.320447 + 0.555030i 0.0120687 + 0.0209036i
\(706\) 24.9238 1.78055i 0.938021 0.0670118i
\(707\) −39.3025 6.57009i −1.47812 0.247094i
\(708\) 0.0690200 0.00991210i 0.00259393 0.000372519i
\(709\) −46.0092 12.3281i −1.72791 0.462992i −0.748210 0.663462i \(-0.769086\pi\)
−0.979700 + 0.200470i \(0.935753\pi\)
\(710\) 5.82355 2.01502i 0.218554 0.0756223i
\(711\) −38.8699 22.4415i −1.45773 0.841624i
\(712\) 15.1762 13.7893i 0.568753 0.516777i
\(713\) 36.3217i 1.36026i
\(714\) −0.00177830 + 0.0187985i −6.65512e−5 + 0.000703515i
\(715\) 4.82814 4.82814i 0.180562 0.180562i
\(716\) 0.925193 7.72733i 0.0345761 0.288784i
\(717\) 0.438128 0.117396i 0.0163622 0.00438423i
\(718\) 11.8350 + 5.75026i 0.441677 + 0.214598i
\(719\) 11.8436 + 20.5137i 0.441691 + 0.765030i 0.997815 0.0660685i \(-0.0210456\pi\)
−0.556125 + 0.831099i \(0.687712\pi\)
\(720\) −10.5197 5.74866i −0.392047 0.214240i
\(721\) 2.91179 + 30.1862i 0.108441 + 1.12419i
\(722\) −0.760110 10.6399i −0.0282884 0.395976i
\(723\) 0.320688 1.19682i 0.0119265 0.0445103i
\(724\) −12.7325 29.7465i −0.473199 1.10552i
\(725\) 0.566437 + 2.11397i 0.0210370 + 0.0785110i
\(726\) 0.569219 + 0.109756i 0.0211257 + 0.00407343i
\(727\) 7.98676i 0.296213i 0.988971 + 0.148106i \(0.0473178\pi\)
−0.988971 + 0.148106i \(0.952682\pi\)
\(728\) −9.99499 + 6.43355i −0.370439 + 0.238443i
\(729\) 26.8379i 0.993996i
\(730\) −1.74303 + 9.03975i −0.0645125 + 0.334576i
\(731\) −0.0371768 0.138746i −0.00137503 0.00513170i
\(732\) −0.154808 0.0620051i −0.00572188 0.00229177i
\(733\) −0.215843 + 0.805537i −0.00797234 + 0.0297532i −0.969797 0.243912i \(-0.921569\pi\)
0.961825 + 0.273665i \(0.0882359\pi\)
\(734\) −26.3124 + 1.87974i −0.971207 + 0.0693826i
\(735\) −0.251820 0.289486i −0.00928850 0.0106779i
\(736\) −6.78652 18.2180i −0.250154 0.671525i
\(737\) −24.7798 42.9199i −0.912776 1.58097i
\(738\) 1.96509 4.04446i 0.0723358 0.148879i
\(739\) −9.86852 + 2.64426i −0.363019 + 0.0972708i −0.435718 0.900083i \(-0.643506\pi\)
0.0726987 + 0.997354i \(0.476839\pi\)
\(740\) −13.3541 + 10.4983i −0.490907 + 0.385924i
\(741\) −0.317175 + 0.317175i −0.0116517 + 0.0116517i
\(742\) −5.20059 11.3612i −0.190920 0.417082i
\(743\) 12.4167i 0.455524i −0.973717 0.227762i \(-0.926859\pi\)
0.973717 0.227762i \(-0.0731409\pi\)
\(744\) −0.0783627 + 1.63662i −0.00287292 + 0.0600015i
\(745\) −3.52610 2.03580i −0.129186 0.0745858i
\(746\) 5.25942 + 15.2001i 0.192561 + 0.556515i
\(747\) 11.3259 + 3.03476i 0.414392 + 0.111036i
\(748\) −0.474460 + 0.633590i −0.0173480 + 0.0231663i
\(749\) −19.4363 + 23.5863i −0.710185 + 0.861823i
\(750\) 0.00552366 + 0.0773193i 0.000201695 + 0.00282330i
\(751\) −10.0207 17.3563i −0.365659 0.633340i 0.623222 0.782045i \(-0.285823\pi\)
−0.988882 + 0.148704i \(0.952490\pi\)
\(752\) 11.0413 45.4481i 0.402633 1.65732i
\(753\) −0.813137 + 1.40840i −0.0296324 + 0.0513248i
\(754\) 4.07160 2.75526i 0.148279 0.100341i
\(755\) 8.15195 + 8.15195i 0.296680 + 0.296680i
\(756\) −1.73891 0.0400004i −0.0632434 0.00145480i
\(757\) 1.24597 1.24597i 0.0452855 0.0452855i −0.684101 0.729387i \(-0.739805\pi\)
0.729387 + 0.684101i \(0.239805\pi\)
\(758\) −24.9910 4.81872i −0.907713 0.175024i
\(759\) 0.701271 + 0.404879i 0.0254545 + 0.0146962i
\(760\) −4.44035 + 13.8789i −0.161069 + 0.503442i
\(761\) 26.0542 15.0424i 0.944464 0.545286i 0.0531069 0.998589i \(-0.483088\pi\)
0.891357 + 0.453302i \(0.149754\pi\)
\(762\) 0.760852 + 0.659391i 0.0275628 + 0.0238872i
\(763\) −4.52270 + 27.0549i −0.163733 + 0.979453i
\(764\) −36.9976 + 5.31331i −1.33853 + 0.192229i
\(765\) −0.0714162 + 0.266529i −0.00258206 + 0.00963637i
\(766\) −12.1341 + 24.9739i −0.438423 + 0.902345i
\(767\) 0.505163 0.874968i 0.0182404 0.0315933i
\(768\) −0.266490 0.835528i −0.00961611 0.0301495i
\(769\) 36.1622 1.30404 0.652022 0.758200i \(-0.273921\pi\)
0.652022 + 0.758200i \(0.273921\pi\)
\(770\) −2.68122 15.8591i −0.0966245 0.571521i
\(771\) −0.274778 0.274778i −0.00989590 0.00989590i
\(772\) 15.9145 + 20.2437i 0.572774 + 0.728585i
\(773\) −7.77245 29.0072i −0.279556 1.04332i −0.952727 0.303829i \(-0.901735\pi\)
0.673171 0.739487i \(-0.264932\pi\)
\(774\) 6.24895 2.16221i 0.224614 0.0777191i
\(775\) −9.15278 + 5.28436i −0.328778 + 0.189820i
\(776\) 20.4401 4.44124i 0.733756 0.159431i
\(777\) −0.510586 + 1.12089i −0.0183172 + 0.0402115i
\(778\) 20.6950 23.8794i 0.741952 0.856117i
\(779\) −5.27956 1.41465i −0.189160 0.0506853i
\(780\) 0.160081 0.0685198i 0.00573181 0.00245340i
\(781\) 18.0928 4.84794i 0.647410 0.173473i
\(782\) −0.370600 + 0.250786i −0.0132526 + 0.00896807i
\(783\) 0.719395 0.0257091
\(784\) −1.28750 + 27.9704i −0.0459821 + 0.998942i
\(785\) −14.2781 −0.509606
\(786\) 0.748478 0.506495i 0.0266973 0.0180661i
\(787\) −12.2187 + 3.27399i −0.435549 + 0.116705i −0.469930 0.882704i \(-0.655721\pi\)
0.0343807 + 0.999409i \(0.489054\pi\)
\(788\) 8.45234 + 19.7470i 0.301102 + 0.703457i
\(789\) 0.101102 + 0.0270902i 0.00359933 + 0.000964437i
\(790\) 13.8708 16.0051i 0.493501 0.569436i
\(791\) 19.1101 41.9522i 0.679476 1.49165i
\(792\) −30.6495 19.7078i −1.08908 0.700286i
\(793\) −2.09260 + 1.20816i −0.0743105 + 0.0429032i
\(794\) −39.9731 + 13.8312i −1.41859 + 0.490850i
\(795\) 0.0473743 + 0.176803i 0.00168019 + 0.00627057i
\(796\) −29.6806 + 23.3332i −1.05200 + 0.827025i
\(797\) 6.29027 + 6.29027i 0.222813 + 0.222813i 0.809682 0.586869i \(-0.199640\pi\)
−0.586869 + 0.809682i \(0.699640\pi\)
\(798\) 0.176137 + 1.04183i 0.00623518 + 0.0368803i
\(799\) −1.07652 −0.0380845
\(800\) 3.60344 4.36064i 0.127401 0.154172i
\(801\) 10.8636 18.8164i 0.383848 0.664844i
\(802\) −8.45599 + 17.4038i −0.298591 + 0.614549i
\(803\) −7.24265 + 27.0299i −0.255587 + 0.953865i
\(804\) −0.179664 1.25104i −0.00633626 0.0441207i
\(805\) 1.49920 8.96826i 0.0528399 0.316089i
\(806\) 17.9410 + 15.5485i 0.631945 + 0.547674i
\(807\) 0.522178 0.301480i 0.0183815 0.0106126i
\(808\) −19.5108 37.8684i −0.686387 1.33220i
\(809\) −6.83248 3.94474i −0.240217 0.138690i 0.375059 0.927001i \(-0.377622\pi\)
−0.615277 + 0.788311i \(0.710956\pi\)
\(810\) −12.4602 2.40256i −0.437806 0.0844172i
\(811\) −15.5989 + 15.5989i −0.547750 + 0.547750i −0.925790 0.378039i \(-0.876598\pi\)
0.378039 + 0.925790i \(0.376598\pi\)
\(812\) 0.266323 11.5776i 0.00934609 0.406295i
\(813\) 0.404758 + 0.404758i 0.0141955 + 0.0141955i
\(814\) −42.7620 + 28.9371i −1.49881 + 1.01424i
\(815\) −6.45593 + 11.1820i −0.226141 + 0.391688i
\(816\) −0.0172400 + 0.0105006i −0.000603520 + 0.000367595i
\(817\) −4.01887 6.96089i −0.140602 0.243531i
\(818\) 1.91637 + 26.8250i 0.0670042 + 0.937915i
\(819\) −8.00973 + 9.71996i −0.279883 + 0.339643i
\(820\) 1.69841 + 1.27184i 0.0593110 + 0.0444147i
\(821\) −20.8980 5.59959i −0.729344 0.195427i −0.125007 0.992156i \(-0.539895\pi\)
−0.604337 + 0.796729i \(0.706562\pi\)
\(822\) 0.395651 + 1.14346i 0.0137999 + 0.0398827i
\(823\) −13.7116 7.91642i −0.477958 0.275949i 0.241607 0.970374i \(-0.422325\pi\)
−0.719565 + 0.694425i \(0.755659\pi\)
\(824\) −23.9947 + 21.8019i −0.835894 + 0.759505i
\(825\) 0.235620i 0.00820322i
\(826\) −0.990566 2.16398i −0.0344662 0.0752946i
\(827\) 5.93170 5.93170i 0.206265 0.206265i −0.596413 0.802678i \(-0.703408\pi\)
0.802678 + 0.596413i \(0.203408\pi\)
\(828\) −12.7312 16.1945i −0.442441 0.562798i
\(829\) −40.9853 + 10.9820i −1.42348 + 0.381420i −0.886716 0.462314i \(-0.847019\pi\)
−0.536762 + 0.843734i \(0.680353\pi\)
\(830\) −2.41800 + 4.97662i −0.0839299 + 0.172741i
\(831\) 0.457838 + 0.792998i 0.0158822 + 0.0275088i
\(832\) −11.9039 4.44655i −0.412694 0.154156i
\(833\) 0.632602 0.123189i 0.0219183 0.00426824i
\(834\) 0.377399 0.0269612i 0.0130683 0.000933591i
\(835\) 2.40255 8.96644i 0.0831437 0.310297i
\(836\) −16.4688 + 41.1176i −0.569584 + 1.42208i
\(837\) 0.899147 + 3.35566i 0.0310791 + 0.115989i
\(838\) −2.34353 + 12.1541i −0.0809561 + 0.419856i
\(839\) 42.7703i 1.47660i −0.674475 0.738298i \(-0.735630\pi\)
0.674475 0.738298i \(-0.264370\pi\)
\(840\) 0.0869013 0.400867i 0.00299838 0.0138312i
\(841\) 24.2103i 0.834837i
\(842\) −22.2603 4.29219i −0.767139 0.147919i
\(843\) 0.0468641 + 0.174899i 0.00161409 + 0.00602385i
\(844\) −0.622091 + 0.266275i −0.0214133 + 0.00916557i
\(845\) −2.71164 + 10.1200i −0.0932831 + 0.348137i
\(846\) −3.53136 49.4315i −0.121411 1.69949i
\(847\) −1.89978 19.6948i −0.0652771 0.676720i
\(848\) 6.40544 11.7216i 0.219964 0.402522i
\(849\) 0.320812 + 0.555662i 0.0110102 + 0.0190703i
\(850\) −0.117114 0.0569021i −0.00401697 0.00195173i
\(851\) −28.1945 + 7.55470i −0.966496 + 0.258972i
\(852\) 0.474292 + 0.0567869i 0.0162490 + 0.00194549i
\(853\) 23.4706 23.4706i 0.803620 0.803620i −0.180040 0.983659i \(-0.557623\pi\)
0.983659 + 0.180040i \(0.0576226\pi\)
\(854\) −0.536051 + 5.66661i −0.0183433 + 0.193907i
\(855\) 15.4404i 0.528051i
\(856\) −32.6355 1.56261i −1.11546 0.0534090i
\(857\) 33.9101 + 19.5780i 1.15835 + 0.668772i 0.950907 0.309475i \(-0.100153\pi\)
0.207440 + 0.978248i \(0.433487\pi\)
\(858\) 0.500188 0.173071i 0.0170761 0.00590855i
\(859\) −7.22813 1.93677i −0.246620 0.0660818i 0.133391 0.991063i \(-0.457413\pi\)
−0.380012 + 0.924982i \(0.624080\pi\)
\(860\) 0.443557 + 3.08858i 0.0151252 + 0.105320i
\(861\) 0.151748 + 0.0253674i 0.00517157 + 0.000864518i
\(862\) 45.6256 3.25948i 1.55402 0.111018i
\(863\) 22.2248 + 38.4945i 0.756541 + 1.31037i 0.944605 + 0.328210i \(0.106445\pi\)
−0.188064 + 0.982157i \(0.560221\pi\)
\(864\) −1.07798 1.51511i −0.0366735 0.0515451i
\(865\) −10.2693 + 17.7869i −0.349166 + 0.604774i
\(866\) 5.88148 + 8.69141i 0.199861 + 0.295346i
\(867\) −0.658560 0.658560i −0.0223659 0.0223659i
\(868\) 54.3374 13.2282i 1.84433 0.448994i
\(869\) 45.5213 45.5213i 1.54420 1.54420i
\(870\) −0.0321197 + 0.166580i −0.00108896 + 0.00564758i
\(871\) −15.8594 9.15645i −0.537376 0.310254i
\(872\) −26.0677 + 13.4308i −0.882764 + 0.454824i
\(873\) 19.1943 11.0818i 0.649627 0.375062i
\(874\) −16.3992 + 18.9225i −0.554710 + 0.640064i
\(875\) 2.47804 0.926984i 0.0837732 0.0313378i
\(876\) −0.427759 + 0.571225i −0.0144526 + 0.0192999i
\(877\) −1.60825 + 6.00206i −0.0543066 + 0.202675i −0.987749 0.156053i \(-0.950123\pi\)
0.933442 + 0.358728i \(0.116790\pi\)
\(878\) −42.0657 20.4385i −1.41965 0.689765i
\(879\) 0.0128511 0.0222587i 0.000433456 0.000750769i
\(880\) 11.8697 12.4405i 0.400128 0.419368i
\(881\) −30.0517 −1.01247 −0.506233 0.862397i \(-0.668962\pi\)
−0.506233 + 0.862397i \(0.668962\pi\)
\(882\) 7.73172 + 28.6436i 0.260341 + 0.964480i
\(883\) 32.5829 + 32.5829i 1.09650 + 1.09650i 0.994816 + 0.101687i \(0.0324240\pi\)
0.101687 + 0.994816i \(0.467576\pi\)
\(884\) −0.0347711 + 0.290413i −0.00116948 + 0.00976764i
\(885\) 0.00902348 + 0.0336761i 0.000303321 + 0.00113201i
\(886\) −4.81275 13.9092i −0.161688 0.467289i
\(887\) −40.3459 + 23.2937i −1.35468 + 0.782127i −0.988901 0.148573i \(-0.952532\pi\)
−0.365782 + 0.930700i \(0.619199\pi\)
\(888\) −1.28672 + 0.279579i −0.0431794 + 0.00938206i
\(889\) 14.2454 31.2727i 0.477774 1.04885i
\(890\) 7.74786 + 6.71466i 0.259709 + 0.225076i
\(891\) −37.2574 9.98310i −1.24817 0.334446i
\(892\) 8.29942 20.7212i 0.277885 0.693796i
\(893\) −58.1868 + 15.5911i −1.94715 + 0.521736i
\(894\) −0.176883 0.261391i −0.00591586 0.00874222i
\(895\) 3.89126 0.130071
\(896\) −24.7826 + 16.7876i −0.827929 + 0.560834i
\(897\) 0.299216 0.00999052
\(898\) 14.4211 + 21.3109i 0.481240 + 0.711156i
\(899\) −22.3420 + 5.98652i −0.745147 + 0.199662i
\(900\) 2.22865 5.56427i 0.0742883 0.185476i
\(901\) −0.296980 0.0795755i −0.00989383 0.00265104i
\(902\) 4.87390 + 4.22395i 0.162283 + 0.140642i
\(903\) 0.131415 + 0.184171i 0.00437323 + 0.00612884i
\(904\) 48.1589 10.4640i 1.60174 0.348028i
\(905\) 14.0110 8.08923i 0.465740 0.268895i
\(906\) 0.292217 + 0.844528i 0.00970826 + 0.0280576i
\(907\) 9.55536 + 35.6611i 0.317280 + 1.18411i 0.921848 + 0.387553i \(0.126679\pi\)
−0.604567 + 0.796554i \(0.706654\pi\)
\(908\) 4.72396 39.4551i 0.156770 1.30937i
\(909\) −31.9173 31.9173i −1.05863 1.05863i
\(910\) −3.78807 4.57964i −0.125573 0.151814i
\(911\) 46.9894 1.55683 0.778414 0.627752i \(-0.216025\pi\)
0.778414 + 0.627752i \(0.216025\pi\)
\(912\) −0.779755 + 0.817250i −0.0258203 + 0.0270619i
\(913\) −8.40900 + 14.5648i −0.278297 + 0.482025i
\(914\) −12.5282 6.08709i −0.414396 0.201343i
\(915\) 0.0215808 0.0805408i 0.000713441 0.00266260i
\(916\) 5.54821 7.40903i 0.183318 0.244801i
\(917\) −23.8050 19.6166i −0.786112 0.647796i
\(918\) −0.0280305 + 0.0323436i −0.000925145 + 0.00106750i
\(919\) 42.9317 24.7866i 1.41619 0.817635i 0.420225 0.907420i \(-0.361951\pi\)
0.995961 + 0.0897847i \(0.0286179\pi\)
\(920\) 8.64102 4.45208i 0.284886 0.146781i
\(921\) −0.0419015 0.0241919i −0.00138070 0.000797149i
\(922\) −7.82563 + 40.5854i −0.257723 + 1.33661i
\(923\) 4.89413 4.89413i 0.161092 0.161092i
\(924\) 0.350301 1.19656i 0.0115241 0.0393639i
\(925\) −6.00568 6.00568i −0.197466 0.197466i
\(926\) −4.05910 5.99837i −0.133390 0.197119i
\(927\) −17.1762 + 29.7500i −0.564139 + 0.977118i
\(928\) 10.0876 7.17716i 0.331142 0.235602i
\(929\) −21.7215 37.6228i −0.712661 1.23436i −0.963855 0.266428i \(-0.914157\pi\)
0.251194 0.967937i \(-0.419177\pi\)
\(930\) −0.817166 + 0.0583780i −0.0267959 + 0.00191429i
\(931\) 32.4085 15.8203i 1.06215 0.518491i
\(932\) 5.45509 + 37.9849i 0.178688 + 1.24424i
\(933\) 0.777272 + 0.208269i 0.0254467 + 0.00681843i
\(934\) 20.8200 7.20396i 0.681250 0.235721i
\(935\) −0.342751 0.197887i −0.0112091 0.00647160i
\(936\) −13.4492 0.643957i −0.439600 0.0210484i
\(937\) 22.8109i 0.745198i −0.927992 0.372599i \(-0.878467\pi\)
0.927992 0.372599i \(-0.121533\pi\)
\(938\) −39.2238 + 17.9547i −1.28070 + 0.586243i
\(939\) −0.0192347 + 0.0192347i −0.000627699 + 0.000627699i
\(940\) 23.2192 + 2.78003i 0.757326 + 0.0906746i
\(941\) 35.7598 9.58181i 1.16574 0.312358i 0.376482 0.926424i \(-0.377134\pi\)
0.789255 + 0.614066i \(0.210467\pi\)
\(942\) −0.995500 0.483684i −0.0324351 0.0157593i
\(943\) 1.82304 + 3.15759i 0.0593662 + 0.102825i
\(944\) 1.22006 2.23264i 0.0397094 0.0726661i
\(945\) −0.0835029 0.865665i −0.00271635 0.0281601i
\(946\) 0.675838 + 9.46028i 0.0219734 + 0.307580i
\(947\) 10.4007 38.8161i 0.337979 1.26135i −0.562625 0.826712i \(-0.690208\pi\)
0.900604 0.434642i \(-0.143125\pi\)
\(948\) 1.50929 0.646026i 0.0490196 0.0209820i
\(949\) 2.67625 + 9.98790i 0.0868747 + 0.324221i
\(950\) −7.15420 1.37946i −0.232113 0.0447557i
\(951\) 1.87144i 0.0606856i
\(952\) 0.510147 + 0.463085i 0.0165340 + 0.0150087i
\(953\) 6.45536i 0.209110i −0.994519 0.104555i \(-0.966658\pi\)
0.994519 0.104555i \(-0.0333418\pi\)
\(954\) 2.67974 13.8977i 0.0867597 0.449955i
\(955\) −4.83697 18.0518i −0.156521 0.584143i
\(956\) 6.15367 15.3639i 0.199024 0.496903i
\(957\) −0.133464 + 0.498093i −0.00431427 + 0.0161011i
\(958\) −11.9185 + 0.851455i −0.385071 + 0.0275093i
\(959\) 33.6175 23.9877i 1.08556 0.774605i
\(960\) 0.398961 0.181964i 0.0128764 0.00587286i
\(961\) −40.3489 69.8864i −1.30158 2.25440i
\(962\) −8.33784 + 17.1606i −0.268823 + 0.553280i
\(963\) −33.4405 + 8.96035i −1.07761 + 0.288743i
\(964\) −27.9414 35.5423i −0.899931 1.14474i
\(965\) −9.10409 + 9.10409i −0.293071 + 0.293071i
\(966\) 0.408337 0.574500i 0.0131380 0.0184842i
\(967\) 46.7837i 1.50446i 0.658899 + 0.752231i \(0.271022\pi\)
−0.658899 + 0.752231i \(0.728978\pi\)
\(968\) 15.6552 14.2245i 0.503176 0.457193i
\(969\) 0.0225163 + 0.0129998i 0.000723326 + 0.000417613i
\(970\) 3.41984 + 9.88357i 0.109804 + 0.317342i
\(971\) 50.8435 + 13.6235i 1.63165 + 0.437198i 0.954394 0.298551i \(-0.0965035\pi\)
0.677253 + 0.735750i \(0.263170\pi\)
\(972\) −2.36604 1.77180i −0.0758909 0.0568305i
\(973\) −4.52465 12.0955i −0.145054 0.387762i
\(974\) 2.90272 + 40.6318i 0.0930090 + 1.30193i
\(975\) 0.0435322 + 0.0754000i 0.00139415 + 0.00241473i
\(976\) −5.19682 + 3.16530i −0.166346 + 0.101319i
\(977\) −26.4560 + 45.8231i −0.846402 + 1.46601i 0.0379954 + 0.999278i \(0.487903\pi\)
−0.884398 + 0.466734i \(0.845431\pi\)
\(978\) −0.828923 + 0.560933i −0.0265060 + 0.0179367i
\(979\) 22.0362 + 22.0362i 0.704281 + 0.704281i
\(980\) −13.9625 + 1.02339i −0.446017 + 0.0326909i
\(981\) −21.9712 + 21.9712i −0.701485 + 0.701485i
\(982\) −33.0206 6.36699i −1.05373 0.203179i
\(983\) −14.8638 8.58161i −0.474081 0.273711i 0.243866 0.969809i \(-0.421584\pi\)
−0.717947 + 0.696098i \(0.754918\pi\)
\(984\) 0.0753319 + 0.146211i 0.00240149 + 0.00466104i
\(985\) −9.30106 + 5.36997i −0.296356 + 0.171101i
\(986\) −0.215344 0.186627i −0.00685794 0.00594342i
\(987\) 1.58816 0.594098i 0.0505518 0.0189103i
\(988\) 2.32661 + 16.2006i 0.0740192 + 0.515411i
\(989\) −1.38772 + 5.17904i −0.0441269 + 0.164684i
\(990\) 7.96220 16.3875i 0.253055 0.520829i
\(991\) 10.1144 17.5187i 0.321296 0.556501i −0.659460 0.751740i \(-0.729215\pi\)
0.980756 + 0.195239i \(0.0625483\pi\)
\(992\) 46.0864 + 38.0837i 1.46325 + 1.20916i
\(993\) 1.68187 0.0533726
\(994\) −2.71786 16.0758i −0.0862054 0.509893i
\(995\) −13.3481 13.3481i −0.423164 0.423164i
\(996\) −0.337176 + 0.265070i −0.0106838 + 0.00839905i
\(997\) −14.2240 53.0848i −0.450479 1.68121i −0.701049 0.713113i \(-0.747285\pi\)
0.250570 0.968099i \(-0.419382\pi\)
\(998\) 2.98378 1.03243i 0.0944500 0.0326809i
\(999\) −2.41780 + 1.39592i −0.0764957 + 0.0441648i
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 560.2.cp.a.221.44 256
7.2 even 3 inner 560.2.cp.a.541.41 yes 256
16.5 even 4 inner 560.2.cp.a.501.41 yes 256
112.37 even 12 inner 560.2.cp.a.261.44 yes 256
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
560.2.cp.a.221.44 256 1.1 even 1 trivial
560.2.cp.a.261.44 yes 256 112.37 even 12 inner
560.2.cp.a.501.41 yes 256 16.5 even 4 inner
560.2.cp.a.541.41 yes 256 7.2 even 3 inner