Properties

Label 49.2.g.a.2.2
Level $49$
Weight $2$
Character 49.2
Analytic conductor $0.391$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [49,2,Mod(2,49)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(49, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([26]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("49.2");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 49.g (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(0.391266969904\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 2.2
Character \(\chi\) \(=\) 49.2
Dual form 49.2.g.a.25.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.16438 - 0.359164i) q^{2} +(0.671120 - 1.70999i) q^{3} +(-0.425690 - 0.290231i) q^{4} +(-0.478452 + 0.0721150i) q^{5} +(-1.39561 + 1.75004i) q^{6} +(1.90196 - 1.83918i) q^{7} +(1.91089 + 2.39618i) q^{8} +(-0.274497 - 0.254696i) q^{9} +O(q^{10})\) \(q+(-1.16438 - 0.359164i) q^{2} +(0.671120 - 1.70999i) q^{3} +(-0.425690 - 0.290231i) q^{4} +(-0.478452 + 0.0721150i) q^{5} +(-1.39561 + 1.75004i) q^{6} +(1.90196 - 1.83918i) q^{7} +(1.91089 + 2.39618i) q^{8} +(-0.274497 - 0.254696i) q^{9} +(0.583002 + 0.0878735i) q^{10} +(-2.56776 + 2.38253i) q^{11} +(-0.781980 + 0.533145i) q^{12} +(0.866309 + 3.79555i) q^{13} +(-2.87517 + 1.45839i) q^{14} +(-0.197783 + 0.866545i) q^{15} +(-0.987928 - 2.51720i) q^{16} +(0.0251704 + 0.335876i) q^{17} +(0.228142 + 0.395153i) q^{18} +(3.24669 - 5.62343i) q^{19} +(0.224602 + 0.108163i) q^{20} +(-1.86853 - 4.48663i) q^{21} +(3.84558 - 1.85193i) q^{22} +(-0.169582 + 2.26291i) q^{23} +(5.37988 - 1.65947i) q^{24} +(-4.55415 + 1.40477i) q^{25} +(0.354511 - 4.73062i) q^{26} +(4.34541 - 2.09264i) q^{27} +(-1.34343 + 0.230913i) q^{28} +(-5.84248 - 2.81359i) q^{29} +(0.541527 - 0.937953i) q^{30} +(2.13461 + 3.69724i) q^{31} +(-0.211833 - 2.82672i) q^{32} +(2.35082 + 5.98980i) q^{33} +(0.0913266 - 0.400128i) q^{34} +(-0.777362 + 1.01712i) q^{35} +(0.0429301 + 0.188089i) q^{36} +(-4.62031 + 3.15007i) q^{37} +(-5.80012 + 5.38172i) q^{38} +(7.07174 + 1.06589i) q^{39} +(-1.08707 - 1.00865i) q^{40} +(-2.67167 - 3.35017i) q^{41} +(0.564241 + 5.89526i) q^{42} +(-5.28773 + 6.63061i) q^{43} +(1.78456 - 0.268978i) q^{44} +(0.149701 + 0.102064i) q^{45} +(1.01022 - 2.57399i) q^{46} +(4.71078 + 1.45308i) q^{47} -4.96739 q^{48} +(0.234867 - 6.99606i) q^{49} +5.80731 q^{50} +(0.591235 + 0.182372i) q^{51} +(0.732806 - 1.86716i) q^{52} +(7.44857 + 5.07835i) q^{53} +(-5.81132 + 0.875916i) q^{54} +(1.05673 - 1.32510i) q^{55} +(8.04143 + 1.04297i) q^{56} +(-7.43707 - 9.32579i) q^{57} +(5.79234 + 5.37451i) q^{58} +(-12.3025 - 1.85430i) q^{59} +(0.335692 - 0.311477i) q^{60} +(-7.55952 + 5.15399i) q^{61} +(-1.15758 - 5.07168i) q^{62} +(-0.990511 + 0.0204278i) q^{63} +(-1.97205 + 8.64012i) q^{64} +(-0.688204 - 1.75351i) q^{65} +(-0.585935 - 7.81875i) q^{66} +(-2.35068 - 4.07149i) q^{67} +(0.0867667 - 0.150284i) q^{68} +(3.75574 + 1.80867i) q^{69} +(1.27046 - 0.905112i) q^{70} +(12.8903 - 6.20766i) q^{71} +(0.0857640 - 1.14444i) q^{72} +(7.72629 - 2.38325i) q^{73} +(6.51120 - 2.00844i) q^{74} +(-0.654246 + 8.73030i) q^{75} +(-3.01417 + 1.45155i) q^{76} +(-0.501868 + 9.25403i) q^{77} +(-7.85137 - 3.78102i) q^{78} +(0.516002 - 0.893742i) q^{79} +(0.654204 + 1.13311i) q^{80} +(-0.746042 - 9.95524i) q^{81} +(1.90759 + 4.86045i) q^{82} +(2.93736 - 12.8694i) q^{83} +(-0.506744 + 2.45222i) q^{84} +(-0.0362645 - 0.158885i) q^{85} +(8.53842 - 5.82140i) q^{86} +(-8.73221 + 8.10231i) q^{87} +(-10.6157 - 1.60006i) q^{88} +(-1.38129 - 1.28165i) q^{89} +(-0.137651 - 0.172609i) q^{90} +(8.62836 + 5.62567i) q^{91} +(0.728956 - 0.914082i) q^{92} +(7.75482 - 1.16885i) q^{93} +(-4.96325 - 3.38389i) q^{94} +(-1.14785 + 2.92467i) q^{95} +(-4.97582 - 1.53484i) q^{96} -0.104657 q^{97} +(-2.78621 + 8.06173i) q^{98} +1.31166 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q - 13 q^{2} - 14 q^{3} - 9 q^{4} - 14 q^{5} - 14 q^{7} - 20 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q - 13 q^{2} - 14 q^{3} - 9 q^{4} - 14 q^{5} - 14 q^{7} - 20 q^{8} + 6 q^{9} - 14 q^{10} - 3 q^{11} + 21 q^{12} - 14 q^{13} + 21 q^{14} - 12 q^{15} - 3 q^{16} - 7 q^{17} + 2 q^{18} + 21 q^{19} + 14 q^{20} - 14 q^{21} - 20 q^{22} + 15 q^{23} + 28 q^{24} - 4 q^{25} + 7 q^{27} + 28 q^{28} + 12 q^{29} + 11 q^{30} + 35 q^{31} + 45 q^{32} - 14 q^{33} + 70 q^{34} - 12 q^{36} + 15 q^{37} - 28 q^{38} - 7 q^{39} - 42 q^{40} - 42 q^{41} + 28 q^{42} - 30 q^{43} - 50 q^{44} + 7 q^{45} - 78 q^{46} + 21 q^{47} - 84 q^{48} - 70 q^{49} + 40 q^{50} - 52 q^{51} - 70 q^{52} + 11 q^{53} - 77 q^{54} - 7 q^{55} - 28 q^{56} - 12 q^{57} + 16 q^{58} - 28 q^{59} + 56 q^{60} + 7 q^{61} - 28 q^{62} + 35 q^{63} - 32 q^{64} + 14 q^{65} + 154 q^{66} + 11 q^{67} + 77 q^{68} + 70 q^{69} + 70 q^{70} + 19 q^{71} + 170 q^{72} + 7 q^{73} + 34 q^{74} + 112 q^{75} + 119 q^{76} + 7 q^{77} + 28 q^{78} + 15 q^{79} + 70 q^{80} + 64 q^{81} - 14 q^{82} - 84 q^{84} - 26 q^{85} - 33 q^{86} - 112 q^{87} - 77 q^{88} - 14 q^{89} - 182 q^{90} + 84 q^{91} - 38 q^{92} - 80 q^{93} + 14 q^{94} - 61 q^{95} - 70 q^{96} - 161 q^{98} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{13}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.16438 0.359164i −0.823343 0.253968i −0.145672 0.989333i \(-0.546534\pi\)
−0.677671 + 0.735365i \(0.737011\pi\)
\(3\) 0.671120 1.70999i 0.387472 0.987261i −0.595476 0.803373i \(-0.703036\pi\)
0.982947 0.183888i \(-0.0588684\pi\)
\(4\) −0.425690 0.290231i −0.212845 0.145115i
\(5\) −0.478452 + 0.0721150i −0.213970 + 0.0322508i −0.255152 0.966901i \(-0.582126\pi\)
0.0411822 + 0.999152i \(0.486888\pi\)
\(6\) −1.39561 + 1.75004i −0.569754 + 0.714449i
\(7\) 1.90196 1.83918i 0.718871 0.695143i
\(8\) 1.91089 + 2.39618i 0.675603 + 0.847179i
\(9\) −0.274497 0.254696i −0.0914990 0.0848986i
\(10\) 0.583002 + 0.0878735i 0.184362 + 0.0277880i
\(11\) −2.56776 + 2.38253i −0.774209 + 0.718361i −0.964707 0.263327i \(-0.915180\pi\)
0.190498 + 0.981688i \(0.438990\pi\)
\(12\) −0.781980 + 0.533145i −0.225738 + 0.153906i
\(13\) 0.866309 + 3.79555i 0.240271 + 1.05270i 0.940771 + 0.339043i \(0.110103\pi\)
−0.700500 + 0.713653i \(0.747040\pi\)
\(14\) −2.87517 + 1.45839i −0.768421 + 0.389771i
\(15\) −0.197783 + 0.866545i −0.0510674 + 0.223741i
\(16\) −0.987928 2.51720i −0.246982 0.629300i
\(17\) 0.0251704 + 0.335876i 0.00610472 + 0.0814618i 0.999424 0.0339368i \(-0.0108045\pi\)
−0.993319 + 0.115399i \(0.963185\pi\)
\(18\) 0.228142 + 0.395153i 0.0537735 + 0.0931385i
\(19\) 3.24669 5.62343i 0.744841 1.29010i −0.205428 0.978672i \(-0.565859\pi\)
0.950269 0.311430i \(-0.100808\pi\)
\(20\) 0.224602 + 0.108163i 0.0502226 + 0.0241859i
\(21\) −1.86853 4.48663i −0.407746 0.979062i
\(22\) 3.84558 1.85193i 0.819880 0.394833i
\(23\) −0.169582 + 2.26291i −0.0353602 + 0.471850i 0.951214 + 0.308533i \(0.0998381\pi\)
−0.986574 + 0.163316i \(0.947781\pi\)
\(24\) 5.37988 1.65947i 1.09816 0.338739i
\(25\) −4.55415 + 1.40477i −0.910830 + 0.280954i
\(26\) 0.354511 4.73062i 0.0695253 0.927750i
\(27\) 4.34541 2.09264i 0.836275 0.402729i
\(28\) −1.34343 + 0.230913i −0.253884 + 0.0436385i
\(29\) −5.84248 2.81359i −1.08492 0.522471i −0.196035 0.980597i \(-0.562806\pi\)
−0.888887 + 0.458126i \(0.848521\pi\)
\(30\) 0.541527 0.937953i 0.0988689 0.171246i
\(31\) 2.13461 + 3.69724i 0.383386 + 0.664045i 0.991544 0.129772i \(-0.0414244\pi\)
−0.608157 + 0.793816i \(0.708091\pi\)
\(32\) −0.211833 2.82672i −0.0374472 0.499698i
\(33\) 2.35082 + 5.98980i 0.409226 + 1.04269i
\(34\) 0.0913266 0.400128i 0.0156624 0.0686214i
\(35\) −0.777362 + 1.01712i −0.131398 + 0.171924i
\(36\) 0.0429301 + 0.188089i 0.00715502 + 0.0313482i
\(37\) −4.62031 + 3.15007i −0.759574 + 0.517869i −0.880069 0.474845i \(-0.842504\pi\)
0.120495 + 0.992714i \(0.461552\pi\)
\(38\) −5.80012 + 5.38172i −0.940903 + 0.873031i
\(39\) 7.07174 + 1.06589i 1.13238 + 0.170679i
\(40\) −1.08707 1.00865i −0.171881 0.159482i
\(41\) −2.67167 3.35017i −0.417245 0.523209i 0.528143 0.849155i \(-0.322888\pi\)
−0.945388 + 0.325947i \(0.894317\pi\)
\(42\) 0.564241 + 5.89526i 0.0870643 + 0.909658i
\(43\) −5.28773 + 6.63061i −0.806371 + 1.01116i 0.193179 + 0.981164i \(0.438120\pi\)
−0.999550 + 0.0299942i \(0.990451\pi\)
\(44\) 1.78456 0.268978i 0.269032 0.0405500i
\(45\) 0.149701 + 0.102064i 0.0223161 + 0.0152149i
\(46\) 1.01022 2.57399i 0.148948 0.379514i
\(47\) 4.71078 + 1.45308i 0.687138 + 0.211954i 0.618614 0.785695i \(-0.287695\pi\)
0.0685245 + 0.997649i \(0.478171\pi\)
\(48\) −4.96739 −0.716982
\(49\) 0.234867 6.99606i 0.0335524 0.999437i
\(50\) 5.80731 0.821278
\(51\) 0.591235 + 0.182372i 0.0827895 + 0.0255372i
\(52\) 0.732806 1.86716i 0.101622 0.258928i
\(53\) 7.44857 + 5.07835i 1.02314 + 0.697565i 0.953928 0.300037i \(-0.0969990\pi\)
0.0692124 + 0.997602i \(0.477951\pi\)
\(54\) −5.81132 + 0.875916i −0.790821 + 0.119197i
\(55\) 1.05673 1.32510i 0.142490 0.178677i
\(56\) 8.04143 + 1.04297i 1.07458 + 0.139372i
\(57\) −7.43707 9.32579i −0.985064 1.23523i
\(58\) 5.79234 + 5.37451i 0.760572 + 0.705707i
\(59\) −12.3025 1.85430i −1.60165 0.241409i −0.713393 0.700764i \(-0.752843\pi\)
−0.888253 + 0.459355i \(0.848081\pi\)
\(60\) 0.335692 0.311477i 0.0433377 0.0402115i
\(61\) −7.55952 + 5.15399i −0.967897 + 0.659901i −0.940525 0.339724i \(-0.889666\pi\)
−0.0273718 + 0.999625i \(0.508714\pi\)
\(62\) −1.15758 5.07168i −0.147013 0.644104i
\(63\) −0.990511 + 0.0204278i −0.124793 + 0.00257366i
\(64\) −1.97205 + 8.64012i −0.246506 + 1.08001i
\(65\) −0.688204 1.75351i −0.0853612 0.217497i
\(66\) −0.585935 7.81875i −0.0721236 0.962422i
\(67\) −2.35068 4.07149i −0.287181 0.497412i 0.685955 0.727644i \(-0.259385\pi\)
−0.973136 + 0.230232i \(0.926051\pi\)
\(68\) 0.0867667 0.150284i 0.0105220 0.0182246i
\(69\) 3.75574 + 1.80867i 0.452138 + 0.217738i
\(70\) 1.27046 0.905112i 0.151849 0.108182i
\(71\) 12.8903 6.20766i 1.52980 0.736714i 0.535623 0.844457i \(-0.320077\pi\)
0.994179 + 0.107743i \(0.0343625\pi\)
\(72\) 0.0857640 1.14444i 0.0101074 0.134874i
\(73\) 7.72629 2.38325i 0.904294 0.278938i 0.192476 0.981302i \(-0.438348\pi\)
0.711818 + 0.702364i \(0.247872\pi\)
\(74\) 6.51120 2.00844i 0.756912 0.233476i
\(75\) −0.654246 + 8.73030i −0.0755458 + 1.00809i
\(76\) −3.01417 + 1.45155i −0.345750 + 0.166504i
\(77\) −0.501868 + 9.25403i −0.0571932 + 1.05459i
\(78\) −7.85137 3.78102i −0.888993 0.428117i
\(79\) 0.516002 0.893742i 0.0580548 0.100554i −0.835537 0.549434i \(-0.814844\pi\)
0.893592 + 0.448880i \(0.148177\pi\)
\(80\) 0.654204 + 1.13311i 0.0731422 + 0.126686i
\(81\) −0.746042 9.95524i −0.0828936 1.10614i
\(82\) 1.90759 + 4.86045i 0.210658 + 0.536747i
\(83\) 2.93736 12.8694i 0.322417 1.41260i −0.510821 0.859687i \(-0.670658\pi\)
0.833238 0.552915i \(-0.186485\pi\)
\(84\) −0.506744 + 2.45222i −0.0552903 + 0.267559i
\(85\) −0.0362645 0.158885i −0.00393344 0.0172335i
\(86\) 8.53842 5.82140i 0.920721 0.627737i
\(87\) −8.73221 + 8.10231i −0.936192 + 0.868659i
\(88\) −10.6157 1.60006i −1.13164 0.170567i
\(89\) −1.38129 1.28165i −0.146416 0.135854i 0.603564 0.797314i \(-0.293747\pi\)
−0.749981 + 0.661460i \(0.769937\pi\)
\(90\) −0.137651 0.172609i −0.0145097 0.0181946i
\(91\) 8.62836 + 5.62567i 0.904498 + 0.589730i
\(92\) 0.728956 0.914082i 0.0759989 0.0952996i
\(93\) 7.75482 1.16885i 0.804137 0.121204i
\(94\) −4.96325 3.38389i −0.511921 0.349022i
\(95\) −1.14785 + 2.92467i −0.117767 + 0.300065i
\(96\) −4.97582 1.53484i −0.507842 0.156649i
\(97\) −0.104657 −0.0106263 −0.00531317 0.999986i \(-0.501691\pi\)
−0.00531317 + 0.999986i \(0.501691\pi\)
\(98\) −2.78621 + 8.06173i −0.281450 + 0.814358i
\(99\) 1.31166 0.131827
\(100\) 2.34636 + 0.723758i 0.234636 + 0.0723758i
\(101\) −1.58961 + 4.05026i −0.158172 + 0.403015i −0.987888 0.155171i \(-0.950407\pi\)
0.829716 + 0.558186i \(0.188502\pi\)
\(102\) −0.622923 0.424701i −0.0616785 0.0420517i
\(103\) 5.12165 0.771965i 0.504652 0.0760640i 0.108218 0.994127i \(-0.465486\pi\)
0.396434 + 0.918063i \(0.370248\pi\)
\(104\) −7.43941 + 9.32872i −0.729494 + 0.914756i
\(105\) 1.21755 + 2.01189i 0.118821 + 0.196340i
\(106\) −6.84902 8.58840i −0.665236 0.834179i
\(107\) −7.51758 6.97530i −0.726752 0.674327i 0.227349 0.973813i \(-0.426994\pi\)
−0.954101 + 0.299486i \(0.903185\pi\)
\(108\) −2.45715 0.370355i −0.236439 0.0356375i
\(109\) −0.535156 + 0.496553i −0.0512587 + 0.0475611i −0.705386 0.708823i \(-0.749226\pi\)
0.654128 + 0.756384i \(0.273036\pi\)
\(110\) −1.70637 + 1.16338i −0.162696 + 0.110924i
\(111\) 2.28580 + 10.0147i 0.216959 + 0.950558i
\(112\) −6.50856 2.97063i −0.615001 0.280698i
\(113\) −1.22163 + 5.35233i −0.114922 + 0.503505i 0.884402 + 0.466726i \(0.154567\pi\)
−0.999323 + 0.0367784i \(0.988290\pi\)
\(114\) 5.31010 + 13.5299i 0.497336 + 1.26719i
\(115\) −0.0820532 1.09492i −0.00765150 0.102102i
\(116\) 1.67050 + 2.89339i 0.155102 + 0.268644i
\(117\) 0.728912 1.26251i 0.0673879 0.116719i
\(118\) 13.6588 + 6.57773i 1.25739 + 0.605529i
\(119\) 0.665607 + 0.592528i 0.0610161 + 0.0543169i
\(120\) −2.45434 + 1.18195i −0.224050 + 0.107897i
\(121\) 0.0948966 1.26631i 0.00862696 0.115119i
\(122\) 10.6533 3.28611i 0.964504 0.297510i
\(123\) −7.52176 + 2.32016i −0.678214 + 0.209201i
\(124\) 0.164373 2.19341i 0.0147612 0.196974i
\(125\) 4.25733 2.05022i 0.380788 0.183378i
\(126\) 1.16067 + 0.331971i 0.103401 + 0.0295743i
\(127\) 3.98417 + 1.91867i 0.353538 + 0.170255i 0.602220 0.798330i \(-0.294283\pi\)
−0.248682 + 0.968585i \(0.579997\pi\)
\(128\) 2.56480 4.44236i 0.226698 0.392653i
\(129\) 7.78954 + 13.4919i 0.685831 + 1.18789i
\(130\) 0.171532 + 2.28894i 0.0150444 + 0.200753i
\(131\) −5.69783 14.5178i −0.497822 1.26843i −0.930305 0.366787i \(-0.880458\pi\)
0.432483 0.901642i \(-0.357638\pi\)
\(132\) 0.737702 3.23208i 0.0642087 0.281317i
\(133\) −4.16741 16.6667i −0.361361 1.44519i
\(134\) 1.27475 + 5.58505i 0.110122 + 0.482475i
\(135\) −1.92816 + 1.31460i −0.165950 + 0.113142i
\(136\) −0.756722 + 0.702135i −0.0648884 + 0.0602076i
\(137\) 11.5919 + 1.74720i 0.990363 + 0.149273i 0.624189 0.781273i \(-0.285430\pi\)
0.366174 + 0.930547i \(0.380668\pi\)
\(138\) −3.72351 3.45491i −0.316966 0.294101i
\(139\) −5.45746 6.84344i −0.462896 0.580453i 0.494520 0.869166i \(-0.335344\pi\)
−0.957416 + 0.288713i \(0.906773\pi\)
\(140\) 0.626114 0.207362i 0.0529163 0.0175253i
\(141\) 5.64626 7.08018i 0.475500 0.596259i
\(142\) −17.2389 + 2.59834i −1.44665 + 0.218048i
\(143\) −11.2675 7.68205i −0.942235 0.642405i
\(144\) −0.369937 + 0.942584i −0.0308281 + 0.0785487i
\(145\) 2.99825 + 0.924838i 0.248991 + 0.0768036i
\(146\) −9.85234 −0.815385
\(147\) −11.8055 5.09682i −0.973705 0.420378i
\(148\) 2.88107 0.236822
\(149\) −5.15279 1.58943i −0.422133 0.130211i 0.0764085 0.997077i \(-0.475655\pi\)
−0.498542 + 0.866866i \(0.666131\pi\)
\(150\) 3.89741 9.93043i 0.318222 0.810816i
\(151\) 0.935832 + 0.638040i 0.0761569 + 0.0519229i 0.600800 0.799399i \(-0.294849\pi\)
−0.524643 + 0.851322i \(0.675801\pi\)
\(152\) 19.6788 2.96611i 1.59616 0.240583i
\(153\) 0.0786370 0.0986077i 0.00635742 0.00797196i
\(154\) 3.90809 10.5950i 0.314922 0.853768i
\(155\) −1.28793 1.61502i −0.103449 0.129721i
\(156\) −2.70102 2.50618i −0.216254 0.200655i
\(157\) 20.1181 + 3.03231i 1.60560 + 0.242005i 0.889815 0.456321i \(-0.150833\pi\)
0.715780 + 0.698325i \(0.246071\pi\)
\(158\) −0.921824 + 0.855328i −0.0733364 + 0.0680462i
\(159\) 13.6828 9.32878i 1.08512 0.739820i
\(160\) 0.305201 + 1.33717i 0.0241282 + 0.105713i
\(161\) 3.83935 + 4.61585i 0.302583 + 0.363780i
\(162\) −2.70689 + 11.8597i −0.212673 + 0.931783i
\(163\) −2.30035 5.86119i −0.180177 0.459084i 0.812040 0.583601i \(-0.198357\pi\)
−0.992217 + 0.124518i \(0.960262\pi\)
\(164\) 0.164982 + 2.20154i 0.0128830 + 0.171911i
\(165\) −1.55671 2.69630i −0.121190 0.209907i
\(166\) −8.04245 + 13.9299i −0.624215 + 1.08117i
\(167\) −13.3927 6.44960i −1.03636 0.499085i −0.163238 0.986587i \(-0.552194\pi\)
−0.873122 + 0.487502i \(0.837908\pi\)
\(168\) 7.18023 13.0508i 0.553967 1.00689i
\(169\) −1.94311 + 0.935750i −0.149470 + 0.0719808i
\(170\) −0.0148402 + 0.198028i −0.00113819 + 0.0151881i
\(171\) −2.32347 + 0.716695i −0.177680 + 0.0548071i
\(172\) 4.17534 1.28792i 0.318367 0.0982032i
\(173\) −0.355483 + 4.74359i −0.0270269 + 0.360648i 0.967251 + 0.253822i \(0.0816879\pi\)
−0.994278 + 0.106826i \(0.965931\pi\)
\(174\) 13.0777 6.29789i 0.991418 0.477442i
\(175\) −6.07817 + 11.0477i −0.459466 + 0.835126i
\(176\) 8.53407 + 4.10979i 0.643280 + 0.309787i
\(177\) −11.4273 + 19.7926i −0.858926 + 1.48770i
\(178\) 1.14803 + 1.98844i 0.0860481 + 0.149040i
\(179\) 1.67556 + 22.3588i 0.125237 + 1.67117i 0.606872 + 0.794800i \(0.292424\pi\)
−0.481635 + 0.876372i \(0.659957\pi\)
\(180\) −0.0341040 0.0868957i −0.00254197 0.00647682i
\(181\) −3.56581 + 15.6229i −0.265045 + 1.16124i 0.650655 + 0.759374i \(0.274495\pi\)
−0.915699 + 0.401864i \(0.868363\pi\)
\(182\) −8.02617 9.64943i −0.594939 0.715263i
\(183\) 3.73991 + 16.3856i 0.276462 + 1.21126i
\(184\) −5.74640 + 3.91783i −0.423630 + 0.288826i
\(185\) 1.98343 1.84035i 0.145825 0.135305i
\(186\) −9.44938 1.42427i −0.692862 0.104432i
\(187\) −0.864867 0.802479i −0.0632453 0.0586831i
\(188\) −1.58360 1.98578i −0.115496 0.144828i
\(189\) 4.41604 11.9721i 0.321220 0.870841i
\(190\) 2.38698 2.99317i 0.173169 0.217148i
\(191\) −6.54747 + 0.986873i −0.473758 + 0.0714076i −0.381582 0.924335i \(-0.624621\pi\)
−0.0921766 + 0.995743i \(0.529382\pi\)
\(192\) 13.4510 + 9.17074i 0.970742 + 0.661841i
\(193\) 0.855841 2.18065i 0.0616048 0.156966i −0.896757 0.442523i \(-0.854083\pi\)
0.958362 + 0.285557i \(0.0921786\pi\)
\(194\) 0.121861 + 0.0375892i 0.00874912 + 0.00269875i
\(195\) −3.46035 −0.247801
\(196\) −2.13045 + 2.90999i −0.152175 + 0.207856i
\(197\) 0.848986 0.0604878 0.0302439 0.999543i \(-0.490372\pi\)
0.0302439 + 0.999543i \(0.490372\pi\)
\(198\) −1.52728 0.471103i −0.108539 0.0334798i
\(199\) 0.565966 1.44206i 0.0401202 0.102225i −0.909409 0.415902i \(-0.863466\pi\)
0.949530 + 0.313678i \(0.101561\pi\)
\(200\) −12.0686 8.22821i −0.853377 0.581822i
\(201\) −8.53978 + 1.28717i −0.602350 + 0.0907896i
\(202\) 3.30562 4.14512i 0.232583 0.291649i
\(203\) −16.2868 + 5.39403i −1.14311 + 0.378586i
\(204\) −0.198753 0.249229i −0.0139155 0.0174495i
\(205\) 1.51986 + 1.41023i 0.106152 + 0.0984946i
\(206\) −6.24083 0.940653i −0.434819 0.0655384i
\(207\) 0.622904 0.577970i 0.0432948 0.0401717i
\(208\) 8.69830 5.93040i 0.603119 0.411199i
\(209\) 5.06129 + 22.1749i 0.350097 + 1.53387i
\(210\) −0.695099 2.77991i −0.0479664 0.191832i
\(211\) −1.65577 + 7.25438i −0.113988 + 0.499412i 0.885413 + 0.464805i \(0.153875\pi\)
−0.999401 + 0.0346079i \(0.988982\pi\)
\(212\) −1.69689 4.32361i −0.116543 0.296947i
\(213\) −1.96405 26.2084i −0.134574 1.79577i
\(214\) 6.24806 + 10.8220i 0.427109 + 0.739774i
\(215\) 2.05176 3.55375i 0.139929 0.242364i
\(216\) 13.3180 + 6.41359i 0.906172 + 0.436390i
\(217\) 10.8598 + 3.10608i 0.737212 + 0.210854i
\(218\) 0.801471 0.385968i 0.0542824 0.0261410i
\(219\) 1.10995 14.8113i 0.0750037 1.00086i
\(220\) −0.834427 + 0.257387i −0.0562570 + 0.0173530i
\(221\) −1.25303 + 0.386508i −0.0842877 + 0.0259993i
\(222\) 0.935395 12.4820i 0.0627796 0.837735i
\(223\) −5.04353 + 2.42883i −0.337740 + 0.162647i −0.595064 0.803678i \(-0.702873\pi\)
0.257325 + 0.966325i \(0.417159\pi\)
\(224\) −5.60173 4.98669i −0.374281 0.333187i
\(225\) 1.60789 + 0.774318i 0.107193 + 0.0516212i
\(226\) 3.34482 5.79339i 0.222494 0.385371i
\(227\) 4.67080 + 8.09007i 0.310012 + 0.536957i 0.978365 0.206888i \(-0.0663335\pi\)
−0.668353 + 0.743845i \(0.733000\pi\)
\(228\) 0.459257 + 6.12836i 0.0304151 + 0.405861i
\(229\) −6.96150 17.7376i −0.460029 1.17213i −0.953237 0.302223i \(-0.902271\pi\)
0.493208 0.869911i \(-0.335824\pi\)
\(230\) −0.297716 + 1.30438i −0.0196308 + 0.0860083i
\(231\) 15.4875 + 7.06876i 1.01900 + 0.465090i
\(232\) −4.42248 19.3761i −0.290350 1.27211i
\(233\) 12.7829 8.71526i 0.837438 0.570956i −0.0669063 0.997759i \(-0.521313\pi\)
0.904344 + 0.426804i \(0.140360\pi\)
\(234\) −1.30218 + 1.20825i −0.0851263 + 0.0789856i
\(235\) −2.35867 0.355513i −0.153863 0.0231911i
\(236\) 4.69887 + 4.35992i 0.305870 + 0.283806i
\(237\) −1.18199 1.48217i −0.0767783 0.0962770i
\(238\) −0.562207 0.928991i −0.0364424 0.0602176i
\(239\) 5.81621 7.29330i 0.376220 0.471764i −0.557289 0.830318i \(-0.688159\pi\)
0.933509 + 0.358554i \(0.116730\pi\)
\(240\) 2.37666 0.358224i 0.153413 0.0231233i
\(241\) −12.2263 8.33574i −0.787565 0.536952i 0.101445 0.994841i \(-0.467653\pi\)
−0.889010 + 0.457889i \(0.848606\pi\)
\(242\) −0.565308 + 1.44038i −0.0363394 + 0.0925912i
\(243\) −3.69771 1.14059i −0.237208 0.0731691i
\(244\) 4.71386 0.301774
\(245\) 0.392148 + 3.36422i 0.0250534 + 0.214932i
\(246\) 9.59152 0.611533
\(247\) 24.1566 + 7.45133i 1.53705 + 0.474117i
\(248\) −4.78028 + 12.1799i −0.303548 + 0.773427i
\(249\) −20.0352 13.6598i −1.26968 0.865653i
\(250\) −5.69353 + 0.858162i −0.360091 + 0.0542749i
\(251\) −6.59780 + 8.27338i −0.416449 + 0.522211i −0.945167 0.326587i \(-0.894102\pi\)
0.528718 + 0.848798i \(0.322673\pi\)
\(252\) 0.427580 + 0.278781i 0.0269350 + 0.0175616i
\(253\) −4.95602 6.21465i −0.311582 0.390712i
\(254\) −3.94997 3.66504i −0.247843 0.229965i
\(255\) −0.296030 0.0446193i −0.0185381 0.00279417i
\(256\) 8.41113 7.80438i 0.525695 0.487774i
\(257\) −0.755069 + 0.514797i −0.0470999 + 0.0321122i −0.586641 0.809847i \(-0.699550\pi\)
0.539541 + 0.841959i \(0.318598\pi\)
\(258\) −4.22420 18.5074i −0.262987 1.15222i
\(259\) −2.99408 + 14.4889i −0.186043 + 0.900294i
\(260\) −0.215962 + 0.946192i −0.0133934 + 0.0586803i
\(261\) 0.887133 + 2.26038i 0.0549122 + 0.139914i
\(262\) 1.42016 + 18.9508i 0.0877380 + 1.17078i
\(263\) −5.19424 8.99669i −0.320291 0.554760i 0.660257 0.751039i \(-0.270447\pi\)
−0.980548 + 0.196280i \(0.937114\pi\)
\(264\) −9.86049 + 17.0789i −0.606871 + 1.05113i
\(265\) −3.93001 1.89259i −0.241419 0.116261i
\(266\) −1.13363 + 20.9032i −0.0695074 + 1.28166i
\(267\) −3.11861 + 1.50184i −0.190856 + 0.0919114i
\(268\) −0.181012 + 2.41543i −0.0110571 + 0.147546i
\(269\) 0.387486 0.119524i 0.0236254 0.00728748i −0.282920 0.959144i \(-0.591303\pi\)
0.306545 + 0.951856i \(0.400827\pi\)
\(270\) 2.71727 0.838167i 0.165368 0.0510092i
\(271\) −1.17146 + 15.6320i −0.0711609 + 0.949576i 0.841341 + 0.540504i \(0.181766\pi\)
−0.912502 + 0.409072i \(0.865853\pi\)
\(272\) 0.820599 0.395180i 0.0497561 0.0239613i
\(273\) 15.4105 10.9789i 0.932685 0.664472i
\(274\) −12.8699 6.19780i −0.777497 0.374423i
\(275\) 8.34705 14.4575i 0.503346 0.871821i
\(276\) −1.07385 1.85996i −0.0646382 0.111957i
\(277\) −0.937936 12.5159i −0.0563551 0.752007i −0.951777 0.306789i \(-0.900745\pi\)
0.895422 0.445218i \(-0.146874\pi\)
\(278\) 3.89665 + 9.92850i 0.233706 + 0.595472i
\(279\) 0.355731 1.55856i 0.0212970 0.0933084i
\(280\) −3.92265 + 0.0808987i −0.234423 + 0.00483462i
\(281\) −0.550915 2.41372i −0.0328648 0.143990i 0.955834 0.293908i \(-0.0949561\pi\)
−0.988698 + 0.149918i \(0.952099\pi\)
\(282\) −9.11735 + 6.21610i −0.542930 + 0.370164i
\(283\) 16.5720 15.3765i 0.985102 0.914041i −0.0112023 0.999937i \(-0.503566\pi\)
0.996304 + 0.0858964i \(0.0273754\pi\)
\(284\) −7.28895 1.09863i −0.432519 0.0651918i
\(285\) 4.23081 + 3.92562i 0.250612 + 0.232534i
\(286\) 10.3606 + 12.9917i 0.612632 + 0.768217i
\(287\) −11.2429 1.45820i −0.663650 0.0860749i
\(288\) −0.661806 + 0.829878i −0.0389973 + 0.0489011i
\(289\) 16.6979 2.51681i 0.982232 0.148048i
\(290\) −3.15894 2.15373i −0.185499 0.126471i
\(291\) −0.0702377 + 0.178963i −0.00411741 + 0.0104910i
\(292\) −3.98070 1.22788i −0.232953 0.0718565i
\(293\) 14.8118 0.865315 0.432657 0.901558i \(-0.357576\pi\)
0.432657 + 0.901558i \(0.357576\pi\)
\(294\) 11.9156 + 10.1748i 0.694930 + 0.593405i
\(295\) 6.01987 0.350490
\(296\) −16.3771 5.05166i −0.951898 0.293622i
\(297\) −6.17219 + 15.7265i −0.358147 + 0.912543i
\(298\) 5.42895 + 3.70140i 0.314491 + 0.214416i
\(299\) −8.73590 + 1.31673i −0.505210 + 0.0761482i
\(300\) 2.81231 3.52652i 0.162369 0.203604i
\(301\) 2.13782 + 22.3362i 0.123222 + 1.28744i
\(302\) −0.860505 1.07904i −0.0495165 0.0620918i
\(303\) 5.85907 + 5.43642i 0.336595 + 0.312314i
\(304\) −17.3628 2.61702i −0.995823 0.150096i
\(305\) 3.24519 3.01109i 0.185819 0.172415i
\(306\) −0.126980 + 0.0865734i −0.00725896 + 0.00494907i
\(307\) −5.30365 23.2368i −0.302695 1.32619i −0.866041 0.499973i \(-0.833343\pi\)
0.563346 0.826221i \(-0.309514\pi\)
\(308\) 2.89945 3.79370i 0.165211 0.216166i
\(309\) 2.11720 9.27604i 0.120443 0.527696i
\(310\) 0.919590 + 2.34308i 0.0522292 + 0.133078i
\(311\) −0.917379 12.2416i −0.0520198 0.694156i −0.960864 0.277020i \(-0.910653\pi\)
0.908844 0.417135i \(-0.136966\pi\)
\(312\) 10.9593 + 18.9820i 0.620446 + 1.07464i
\(313\) −6.16297 + 10.6746i −0.348352 + 0.603363i −0.985957 0.167001i \(-0.946592\pi\)
0.637605 + 0.770363i \(0.279925\pi\)
\(314\) −22.3360 10.7565i −1.26049 0.607022i
\(315\) 0.472439 0.0812045i 0.0266189 0.00457535i
\(316\) −0.479048 + 0.230698i −0.0269486 + 0.0129778i
\(317\) −2.32511 + 31.0264i −0.130591 + 1.74262i 0.419717 + 0.907655i \(0.362129\pi\)
−0.550308 + 0.834962i \(0.685490\pi\)
\(318\) −19.2826 + 5.94789i −1.08131 + 0.333541i
\(319\) 21.7056 6.69528i 1.21528 0.374864i
\(320\) 0.320449 4.27610i 0.0179136 0.239041i
\(321\) −16.9729 + 8.17370i −0.947333 + 0.456212i
\(322\) −2.81263 6.75357i −0.156742 0.376362i
\(323\) 1.97049 + 0.948939i 0.109641 + 0.0528004i
\(324\) −2.57173 + 4.45437i −0.142874 + 0.247465i
\(325\) −9.27717 16.0685i −0.514605 0.891322i
\(326\) 0.573353 + 7.65087i 0.0317551 + 0.423742i
\(327\) 0.489944 + 1.24836i 0.0270940 + 0.0690343i
\(328\) 2.92234 12.8036i 0.161359 0.706962i
\(329\) 11.6322 5.90025i 0.641302 0.325292i
\(330\) 0.844191 + 3.69864i 0.0464712 + 0.203604i
\(331\) 7.99384 5.45011i 0.439381 0.299565i −0.323351 0.946279i \(-0.604810\pi\)
0.762733 + 0.646714i \(0.223857\pi\)
\(332\) −4.98551 + 4.62588i −0.273615 + 0.253878i
\(333\) 2.07057 + 0.312088i 0.113467 + 0.0171023i
\(334\) 13.2778 + 12.3200i 0.726528 + 0.674120i
\(335\) 1.41830 + 1.77849i 0.0774901 + 0.0971695i
\(336\) −9.44776 + 9.13591i −0.515418 + 0.498405i
\(337\) −19.8317 + 24.8682i −1.08030 + 1.35466i −0.149656 + 0.988738i \(0.547817\pi\)
−0.930647 + 0.365919i \(0.880755\pi\)
\(338\) 2.59861 0.391677i 0.141346 0.0213044i
\(339\) 8.33255 + 5.68104i 0.452562 + 0.308552i
\(340\) −0.0306759 + 0.0781610i −0.00166364 + 0.00423888i
\(341\) −14.2900 4.40787i −0.773845 0.238700i
\(342\) 2.96282 0.160211
\(343\) −12.4203 13.7382i −0.670632 0.741790i
\(344\) −25.9924 −1.40142
\(345\) −1.92737 0.594516i −0.103766 0.0320077i
\(346\) 2.11765 5.39568i 0.113845 0.290073i
\(347\) 21.4375 + 14.6158i 1.15082 + 0.784619i 0.979668 0.200625i \(-0.0642973\pi\)
0.171156 + 0.985244i \(0.445250\pi\)
\(348\) 6.06876 0.914718i 0.325320 0.0490340i
\(349\) 14.0924 17.6713i 0.754350 0.945924i −0.245374 0.969428i \(-0.578911\pi\)
0.999724 + 0.0235040i \(0.00748224\pi\)
\(350\) 11.0452 10.6807i 0.590393 0.570906i
\(351\) 11.7072 + 14.6803i 0.624883 + 0.783579i
\(352\) 7.27869 + 6.75363i 0.387955 + 0.359970i
\(353\) 16.8785 + 2.54402i 0.898350 + 0.135404i 0.581953 0.813223i \(-0.302289\pi\)
0.316397 + 0.948627i \(0.397527\pi\)
\(354\) 20.4145 18.9419i 1.08502 1.00675i
\(355\) −5.71974 + 3.89965i −0.303572 + 0.206972i
\(356\) 0.216027 + 0.946478i 0.0114494 + 0.0501632i
\(357\) 1.45992 0.740522i 0.0772670 0.0391926i
\(358\) 6.07948 26.6359i 0.321310 1.40775i
\(359\) −1.08167 2.75605i −0.0570883 0.145459i 0.899484 0.436954i \(-0.143943\pi\)
−0.956572 + 0.291495i \(0.905847\pi\)
\(360\) 0.0414975 + 0.553745i 0.00218711 + 0.0291849i
\(361\) −11.5819 20.0605i −0.609576 1.05582i
\(362\) 9.76314 16.9103i 0.513139 0.888784i
\(363\) −2.10168 1.01212i −0.110310 0.0531223i
\(364\) −2.04027 4.89901i −0.106939 0.256778i
\(365\) −3.52479 + 1.69745i −0.184496 + 0.0888487i
\(366\) 1.53045 20.4224i 0.0799976 1.06749i
\(367\) −30.6947 + 9.46806i −1.60225 + 0.494229i −0.961796 0.273768i \(-0.911730\pi\)
−0.640454 + 0.767997i \(0.721254\pi\)
\(368\) 5.86373 1.80872i 0.305668 0.0942861i
\(369\) −0.119909 + 1.60008i −0.00624222 + 0.0832966i
\(370\) −2.97046 + 1.43050i −0.154427 + 0.0743680i
\(371\) 23.5068 4.04044i 1.22041 0.209769i
\(372\) −3.64039 1.75312i −0.188745 0.0908949i
\(373\) −9.31752 + 16.1384i −0.482443 + 0.835615i −0.999797 0.0201562i \(-0.993584\pi\)
0.517354 + 0.855771i \(0.326917\pi\)
\(374\) 0.718814 + 1.24502i 0.0371690 + 0.0643785i
\(375\) −0.648672 8.65593i −0.0334973 0.446990i
\(376\) 5.51994 + 14.0646i 0.284669 + 0.725325i
\(377\) 5.61773 24.6129i 0.289328 1.26763i
\(378\) −9.44191 + 12.3540i −0.485639 + 0.635421i
\(379\) −3.21589 14.0898i −0.165189 0.723742i −0.987876 0.155247i \(-0.950383\pi\)
0.822686 0.568496i \(-0.192474\pi\)
\(380\) 1.33746 0.911864i 0.0686102 0.0467777i
\(381\) 5.95476 5.52521i 0.305072 0.283065i
\(382\) 7.97821 + 1.20252i 0.408201 + 0.0615264i
\(383\) 15.9543 + 14.8034i 0.815224 + 0.756418i 0.972938 0.231067i \(-0.0742218\pi\)
−0.157714 + 0.987485i \(0.550412\pi\)
\(384\) −5.87509 7.36713i −0.299812 0.375952i
\(385\) −0.427235 4.46380i −0.0217739 0.227496i
\(386\) −1.77974 + 2.23172i −0.0905862 + 0.113592i
\(387\) 3.14025 0.473317i 0.159628 0.0240601i
\(388\) 0.0445516 + 0.0303748i 0.00226177 + 0.00154205i
\(389\) 2.16278 5.51067i 0.109657 0.279402i −0.865503 0.500904i \(-0.833001\pi\)
0.975160 + 0.221502i \(0.0710961\pi\)
\(390\) 4.02917 + 1.24284i 0.204025 + 0.0629334i
\(391\) −0.764325 −0.0386536
\(392\) 17.2126 12.8059i 0.869370 0.646797i
\(393\) −28.6492 −1.44516
\(394\) −0.988545 0.304926i −0.0498022 0.0153619i
\(395\) −0.182430 + 0.464824i −0.00917905 + 0.0233878i
\(396\) −0.558363 0.380685i −0.0280588 0.0191302i
\(397\) −30.7867 + 4.64035i −1.54514 + 0.232892i −0.865596 0.500742i \(-0.833060\pi\)
−0.679544 + 0.733635i \(0.737822\pi\)
\(398\) −1.17694 + 1.47583i −0.0589945 + 0.0739767i
\(399\) −31.2967 4.05916i −1.56680 0.203212i
\(400\) 8.03525 + 10.0759i 0.401763 + 0.503794i
\(401\) 3.26789 + 3.03216i 0.163191 + 0.151419i 0.757541 0.652787i \(-0.226400\pi\)
−0.594351 + 0.804206i \(0.702591\pi\)
\(402\) 10.4059 + 1.56843i 0.518998 + 0.0782264i
\(403\) −12.1838 + 11.3050i −0.606921 + 0.563140i
\(404\) 1.85219 1.26280i 0.0921499 0.0628267i
\(405\) 1.07487 + 4.70930i 0.0534106 + 0.234007i
\(406\) 20.9014 0.431060i 1.03732 0.0213932i
\(407\) 4.35869 19.0967i 0.216052 0.946587i
\(408\) 0.692791 + 1.76520i 0.0342982 + 0.0873905i
\(409\) 2.15951 + 28.8167i 0.106781 + 1.42489i 0.751125 + 0.660159i \(0.229511\pi\)
−0.644344 + 0.764735i \(0.722870\pi\)
\(410\) −1.26320 2.18793i −0.0623850 0.108054i
\(411\) 10.7672 18.6494i 0.531109 0.919908i
\(412\) −2.40429 1.15784i −0.118451 0.0570428i
\(413\) −26.8091 + 19.0996i −1.31919 + 0.939831i
\(414\) −0.932885 + 0.449254i −0.0458488 + 0.0220796i
\(415\) −0.477308 + 6.36923i −0.0234301 + 0.312653i
\(416\) 10.5454 3.25283i 0.517032 0.159483i
\(417\) −15.3648 + 4.73941i −0.752418 + 0.232090i
\(418\) 2.07118 27.6380i 0.101305 1.35182i
\(419\) 4.22512 2.03471i 0.206411 0.0994021i −0.327822 0.944739i \(-0.606315\pi\)
0.534233 + 0.845337i \(0.320600\pi\)
\(420\) 0.0656110 1.20981i 0.00320149 0.0590328i
\(421\) 12.3161 + 5.93113i 0.600250 + 0.289065i 0.709228 0.704979i \(-0.249043\pi\)
−0.108978 + 0.994044i \(0.534758\pi\)
\(422\) 4.53346 7.85219i 0.220685 0.382238i
\(423\) −0.923001 1.59868i −0.0448778 0.0777307i
\(424\) 2.06476 + 27.5523i 0.100274 + 1.33806i
\(425\) −0.586457 1.49427i −0.0284474 0.0724827i
\(426\) −7.12622 + 31.2220i −0.345267 + 1.51271i
\(427\) −4.89877 + 23.7059i −0.237068 + 1.14721i
\(428\) 1.17572 + 5.15115i 0.0568304 + 0.248990i
\(429\) −20.6980 + 14.1117i −0.999311 + 0.681319i
\(430\) −3.66541 + 3.40101i −0.176762 + 0.164011i
\(431\) −17.3702 2.61814i −0.836695 0.126111i −0.283301 0.959031i \(-0.591429\pi\)
−0.553394 + 0.832920i \(0.686668\pi\)
\(432\) −9.56054 8.87088i −0.459982 0.426801i
\(433\) 8.35451 + 10.4762i 0.401492 + 0.503455i 0.940945 0.338561i \(-0.109940\pi\)
−0.539452 + 0.842016i \(0.681369\pi\)
\(434\) −11.5294 7.51712i −0.553428 0.360833i
\(435\) 3.59365 4.50629i 0.172302 0.216060i
\(436\) 0.371926 0.0560588i 0.0178120 0.00268473i
\(437\) 12.1747 + 8.30059i 0.582397 + 0.397071i
\(438\) −6.61211 + 16.8474i −0.315939 + 0.804998i
\(439\) 20.4582 + 6.31051i 0.976415 + 0.301184i 0.741590 0.670854i \(-0.234072\pi\)
0.234825 + 0.972038i \(0.424548\pi\)
\(440\) 5.19449 0.247638
\(441\) −1.84634 + 1.86058i −0.0879209 + 0.0885989i
\(442\) 1.59782 0.0760007
\(443\) −4.06343 1.25340i −0.193059 0.0595509i 0.196718 0.980460i \(-0.436972\pi\)
−0.389777 + 0.920909i \(0.627448\pi\)
\(444\) 1.93354 4.92659i 0.0917620 0.233806i
\(445\) 0.753306 + 0.513596i 0.0357101 + 0.0243468i
\(446\) 6.74494 1.01664i 0.319382 0.0481391i
\(447\) −6.17604 + 7.74451i −0.292117 + 0.366303i
\(448\) 12.1399 + 20.0601i 0.573558 + 0.947749i
\(449\) 22.8896 + 28.7026i 1.08023 + 1.35456i 0.930691 + 0.365805i \(0.119206\pi\)
0.149535 + 0.988756i \(0.452222\pi\)
\(450\) −1.59409 1.47910i −0.0751461 0.0697254i
\(451\) 14.8421 + 2.23709i 0.698887 + 0.105340i
\(452\) 2.07345 1.92388i 0.0975268 0.0904917i
\(453\) 1.71910 1.17206i 0.0807701 0.0550682i
\(454\) −2.53294 11.0975i −0.118877 0.520832i
\(455\) −4.53395 2.06938i −0.212555 0.0970139i
\(456\) 8.13486 35.6412i 0.380950 1.66905i
\(457\) −9.04556 23.0477i −0.423133 1.07813i −0.970472 0.241215i \(-0.922454\pi\)
0.547338 0.836911i \(-0.315641\pi\)
\(458\) 1.73513 + 23.1537i 0.0810772 + 1.08190i
\(459\) 0.812243 + 1.40685i 0.0379122 + 0.0656659i
\(460\) −0.282851 + 0.489913i −0.0131880 + 0.0228423i
\(461\) 26.9651 + 12.9857i 1.25589 + 0.604805i 0.939085 0.343685i \(-0.111675\pi\)
0.316806 + 0.948490i \(0.397390\pi\)
\(462\) −15.4945 13.7933i −0.720868 0.641722i
\(463\) −6.14531 + 2.95943i −0.285597 + 0.137536i −0.571198 0.820812i \(-0.693521\pi\)
0.285601 + 0.958349i \(0.407807\pi\)
\(464\) −1.31042 + 17.4863i −0.0608346 + 0.811782i
\(465\) −3.62602 + 1.11848i −0.168152 + 0.0518682i
\(466\) −18.0144 + 5.55672i −0.834503 + 0.257410i
\(467\) −0.363371 + 4.84885i −0.0168148 + 0.224378i 0.982465 + 0.186445i \(0.0596965\pi\)
−0.999280 + 0.0379334i \(0.987923\pi\)
\(468\) −0.676711 + 0.325887i −0.0312810 + 0.0150641i
\(469\) −11.9591 3.42049i −0.552219 0.157943i
\(470\) 2.61871 + 1.26110i 0.120792 + 0.0581704i
\(471\) 18.6868 32.3666i 0.861045 1.49137i
\(472\) −19.0655 33.0224i −0.877559 1.51998i
\(473\) −2.22001 29.6240i −0.102076 1.36211i
\(474\) 0.843944 + 2.15033i 0.0387636 + 0.0987681i
\(475\) −6.88628 + 30.1708i −0.315964 + 1.38433i
\(476\) −0.111373 0.445413i −0.00510477 0.0204155i
\(477\) −0.751175 3.29111i −0.0343939 0.150690i
\(478\) −9.39179 + 6.40321i −0.429570 + 0.292876i
\(479\) 24.8770 23.0825i 1.13666 1.05467i 0.138731 0.990330i \(-0.455698\pi\)
0.997928 0.0643360i \(-0.0204930\pi\)
\(480\) 2.49137 + 0.375514i 0.113715 + 0.0171398i
\(481\) −15.9589 14.8077i −0.727662 0.675172i
\(482\) 11.2422 + 14.0972i 0.512067 + 0.642112i
\(483\) 10.4697 3.46746i 0.476388 0.157775i
\(484\) −0.407918 + 0.511513i −0.0185417 + 0.0232506i
\(485\) 0.0500735 0.00754737i 0.00227372 0.000342708i
\(486\) 3.89589 + 2.65617i 0.176721 + 0.120486i
\(487\) −2.82654 + 7.20192i −0.128083 + 0.326350i −0.980502 0.196509i \(-0.937039\pi\)
0.852419 + 0.522859i \(0.175135\pi\)
\(488\) −26.7953 8.26526i −1.21297 0.374151i
\(489\) −11.5664 −0.523049
\(490\) 0.751696 4.05808i 0.0339582 0.183325i
\(491\) 7.86421 0.354907 0.177453 0.984129i \(-0.443214\pi\)
0.177453 + 0.984129i \(0.443214\pi\)
\(492\) 3.87532 + 1.19538i 0.174713 + 0.0538918i
\(493\) 0.797959 2.03317i 0.0359383 0.0915693i
\(494\) −25.4513 17.3524i −1.14511 0.780721i
\(495\) −0.627568 + 0.0945907i −0.0282071 + 0.00425154i
\(496\) 7.19786 9.02583i 0.323194 0.405272i
\(497\) 13.0999 35.5143i 0.587610 1.59303i
\(498\) 18.4225 + 23.1011i 0.825534 + 1.03519i
\(499\) −3.50221 3.24957i −0.156780 0.145471i 0.597882 0.801584i \(-0.296009\pi\)
−0.754663 + 0.656113i \(0.772199\pi\)
\(500\) −2.40734 0.362849i −0.107660 0.0162271i
\(501\) −20.0169 + 18.5729i −0.894287 + 0.829777i
\(502\) 10.6539 7.26368i 0.475505 0.324194i
\(503\) 0.922903 + 4.04350i 0.0411502 + 0.180291i 0.991326 0.131422i \(-0.0419544\pi\)
−0.950176 + 0.311713i \(0.899097\pi\)
\(504\) −1.94171 2.33441i −0.0864906 0.103983i
\(505\) 0.468467 2.05249i 0.0208465 0.0913345i
\(506\) 3.53862 + 9.01625i 0.157311 + 0.400821i
\(507\) 0.296063 + 3.95069i 0.0131486 + 0.175456i
\(508\) −1.13916 1.97309i −0.0505422 0.0875417i
\(509\) 8.55705 14.8213i 0.379285 0.656940i −0.611674 0.791110i \(-0.709503\pi\)
0.990958 + 0.134170i \(0.0428368\pi\)
\(510\) 0.328666 + 0.158277i 0.0145536 + 0.00700863i
\(511\) 10.3119 18.7428i 0.456170 0.829134i
\(512\) −21.8400 + 10.5176i −0.965202 + 0.464817i
\(513\) 2.34038 31.2302i 0.103330 1.37885i
\(514\) 1.06409 0.328227i 0.0469348 0.0144775i
\(515\) −2.39480 + 0.738697i −0.105527 + 0.0325509i
\(516\) 0.599827 8.00413i 0.0264059 0.352362i
\(517\) −15.5582 + 7.49242i −0.684248 + 0.329516i
\(518\) 8.69014 15.7952i 0.381823 0.694001i
\(519\) 7.87290 + 3.79139i 0.345582 + 0.166424i
\(520\) 2.88666 4.99984i 0.126588 0.219257i
\(521\) −17.5214 30.3479i −0.767625 1.32957i −0.938847 0.344334i \(-0.888105\pi\)
0.171222 0.985232i \(-0.445228\pi\)
\(522\) −0.221115 2.95057i −0.00967793 0.129143i
\(523\) −0.0195189 0.0497334i −0.000853502 0.00217469i 0.930446 0.366428i \(-0.119419\pi\)
−0.931300 + 0.364253i \(0.881324\pi\)
\(524\) −1.78801 + 7.83379i −0.0781096 + 0.342221i
\(525\) 14.8122 + 17.8079i 0.646458 + 0.777201i
\(526\) 2.81679 + 12.3412i 0.122818 + 0.538101i
\(527\) −1.18809 + 0.810023i −0.0517538 + 0.0352852i
\(528\) 12.7551 11.8350i 0.555094 0.515052i
\(529\) 17.6511 + 2.66048i 0.767439 + 0.115673i
\(530\) 3.89628 + 3.61522i 0.169244 + 0.157035i
\(531\) 2.90471 + 3.64239i 0.126054 + 0.158066i
\(532\) −3.06317 + 8.30438i −0.132805 + 0.360040i
\(533\) 10.4012 13.0427i 0.450528 0.564944i
\(534\) 4.17067 0.628627i 0.180482 0.0272033i
\(535\) 4.09983 + 2.79521i 0.177251 + 0.120848i
\(536\) 5.26415 13.4128i 0.227377 0.579346i
\(537\) 39.3577 + 12.1402i 1.69841 + 0.523890i
\(538\) −0.494110 −0.0213026
\(539\) 16.0653 + 18.5238i 0.691980 + 0.797876i
\(540\) 1.20234 0.0517403
\(541\) −18.3452 5.65875i −0.788723 0.243289i −0.125878 0.992046i \(-0.540175\pi\)
−0.662845 + 0.748757i \(0.730651\pi\)
\(542\) 6.97848 17.7809i 0.299751 0.763754i
\(543\) 24.3218 + 16.5823i 1.04375 + 0.711615i
\(544\) 0.944094 0.142299i 0.0404777 0.00610103i
\(545\) 0.220238 0.276169i 0.00943395 0.0118298i
\(546\) −21.8869 + 7.24872i −0.936674 + 0.310217i
\(547\) 6.65592 + 8.34625i 0.284586 + 0.356860i 0.903492 0.428606i \(-0.140995\pi\)
−0.618905 + 0.785466i \(0.712424\pi\)
\(548\) −4.42747 4.10809i −0.189132 0.175489i
\(549\) 3.38776 + 0.510623i 0.144586 + 0.0217929i
\(550\) −14.9118 + 13.8361i −0.635841 + 0.589974i
\(551\) −34.7907 + 23.7199i −1.48213 + 1.01050i
\(552\) 2.84291 + 12.4556i 0.121002 + 0.530146i
\(553\) −0.662335 2.64888i −0.0281654 0.112642i
\(554\) −3.40315 + 14.9102i −0.144586 + 0.633472i
\(555\) −1.81586 4.62674i −0.0770790 0.196394i
\(556\) 0.337012 + 4.49711i 0.0142925 + 0.190720i
\(557\) 8.96714 + 15.5315i 0.379950 + 0.658093i 0.991055 0.133457i \(-0.0426078\pi\)
−0.611105 + 0.791550i \(0.709275\pi\)
\(558\) −0.973985 + 1.68699i −0.0412321 + 0.0714160i
\(559\) −29.7476 14.3257i −1.25819 0.605912i
\(560\) 3.32826 + 0.951937i 0.140645 + 0.0402267i
\(561\) −1.95266 + 0.940351i −0.0824413 + 0.0397016i
\(562\) −0.225445 + 3.00836i −0.00950983 + 0.126900i
\(563\) −8.12445 + 2.50606i −0.342405 + 0.105618i −0.461188 0.887302i \(-0.652577\pi\)
0.118783 + 0.992920i \(0.462101\pi\)
\(564\) −4.45844 + 1.37525i −0.187734 + 0.0579084i
\(565\) 0.198510 2.64893i 0.00835138 0.111441i
\(566\) −24.8188 + 11.9521i −1.04321 + 0.502385i
\(567\) −19.7284 17.5623i −0.828514 0.737548i
\(568\) 39.5067 + 19.0254i 1.65767 + 0.798290i
\(569\) −20.6457 + 35.7595i −0.865514 + 1.49911i 0.00102143 + 0.999999i \(0.499675\pi\)
−0.866536 + 0.499115i \(0.833658\pi\)
\(570\) −3.51634 6.09048i −0.147283 0.255102i
\(571\) −1.26106 16.8276i −0.0527736 0.704215i −0.959358 0.282191i \(-0.908939\pi\)
0.906585 0.422024i \(-0.138680\pi\)
\(572\) 2.56690 + 6.54035i 0.107327 + 0.273466i
\(573\) −2.70660 + 11.8584i −0.113070 + 0.495392i
\(574\) 12.5674 + 5.73597i 0.524551 + 0.239415i
\(575\) −2.40657 10.5439i −0.100361 0.439709i
\(576\) 2.74192 1.86941i 0.114247 0.0778922i
\(577\) −7.84027 + 7.27471i −0.326395 + 0.302850i −0.826300 0.563230i \(-0.809559\pi\)
0.499905 + 0.866080i \(0.333368\pi\)
\(578\) −20.3467 3.06678i −0.846313 0.127561i
\(579\) −3.15451 2.92695i −0.131097 0.121640i
\(580\) −1.00791 1.26388i −0.0418512 0.0524797i
\(581\) −18.0824 29.8794i −0.750184 1.23961i
\(582\) 0.146061 0.183154i 0.00605440 0.00759198i
\(583\) −31.2255 + 4.70648i −1.29323 + 0.194923i
\(584\) 20.4748 + 13.9595i 0.847254 + 0.577648i
\(585\) −0.257703 + 0.656617i −0.0106547 + 0.0271478i
\(586\) −17.2466 5.31987i −0.712450 0.219762i
\(587\) 47.8313 1.97421 0.987105 0.160072i \(-0.0511725\pi\)
0.987105 + 0.160072i \(0.0511725\pi\)
\(588\) 3.54625 + 5.59600i 0.146245 + 0.230775i
\(589\) 27.7216 1.14225
\(590\) −7.00943 2.16212i −0.288574 0.0890132i
\(591\) 0.569772 1.45176i 0.0234373 0.0597172i
\(592\) 12.4939 + 8.51819i 0.513496 + 0.350095i
\(593\) 12.7059 1.91510i 0.521768 0.0786439i 0.117123 0.993117i \(-0.462633\pi\)
0.404646 + 0.914474i \(0.367395\pi\)
\(594\) 12.8352 16.0948i 0.526634 0.660378i
\(595\) −0.361191 0.235496i −0.0148074 0.00965439i
\(596\) 1.73219 + 2.17210i 0.0709534 + 0.0889728i
\(597\) −2.08607 1.93559i −0.0853771 0.0792183i
\(598\) 10.6448 + 1.60445i 0.435300 + 0.0656110i
\(599\) −28.5281 + 26.4702i −1.16563 + 1.08154i −0.170259 + 0.985399i \(0.554461\pi\)
−0.995367 + 0.0961443i \(0.969349\pi\)
\(600\) −22.1696 + 15.1150i −0.905070 + 0.617066i
\(601\) −7.47487 32.7496i −0.304907 1.33588i −0.862621 0.505850i \(-0.831179\pi\)
0.557715 0.830033i \(-0.311678\pi\)
\(602\) 5.53312 26.7757i 0.225513 1.09130i
\(603\) −0.391739 + 1.71632i −0.0159528 + 0.0698939i
\(604\) −0.213196 0.543215i −0.00867482 0.0221031i
\(605\) 0.0459163 + 0.612710i 0.00186676 + 0.0249102i
\(606\) −4.86962 8.43444i −0.197815 0.342626i
\(607\) 15.3229 26.5400i 0.621937 1.07723i −0.367187 0.930147i \(-0.619679\pi\)
0.989125 0.147080i \(-0.0469874\pi\)
\(608\) −16.5836 7.98624i −0.672553 0.323885i
\(609\) −1.70671 + 31.4703i −0.0691593 + 1.27524i
\(610\) −4.86011 + 2.34051i −0.196780 + 0.0947644i
\(611\) −1.43426 + 19.1388i −0.0580238 + 0.774274i
\(612\) −0.0620940 + 0.0191535i −0.00251000 + 0.000774233i
\(613\) 5.40164 1.66619i 0.218170 0.0672966i −0.183743 0.982974i \(-0.558821\pi\)
0.401913 + 0.915678i \(0.368345\pi\)
\(614\) −2.17036 + 28.9614i −0.0875884 + 1.16879i
\(615\) 3.43148 1.65252i 0.138371 0.0666358i
\(616\) −23.1334 + 16.4809i −0.932070 + 0.664034i
\(617\) −27.0291 13.0165i −1.08815 0.524026i −0.198237 0.980154i \(-0.563521\pi\)
−0.889914 + 0.456128i \(0.849236\pi\)
\(618\) −5.79685 + 10.0404i −0.233183 + 0.403886i
\(619\) 7.37348 + 12.7712i 0.296365 + 0.513319i 0.975302 0.220878i \(-0.0708921\pi\)
−0.678936 + 0.734197i \(0.737559\pi\)
\(620\) 0.0795331 + 1.06130i 0.00319412 + 0.0426226i
\(621\) 3.99855 + 10.1882i 0.160456 + 0.408836i
\(622\) −3.32856 + 14.5834i −0.133463 + 0.584739i
\(623\) −4.98433 + 0.102794i −0.199693 + 0.00411836i
\(624\) −4.30330 18.8540i −0.172270 0.754764i
\(625\) 17.7997 12.1356i 0.711988 0.485425i
\(626\) 11.0100 10.2158i 0.440047 0.408304i
\(627\) 41.3156 + 6.22733i 1.64999 + 0.248695i
\(628\) −7.68399 7.12970i −0.306625 0.284506i
\(629\) −1.17433 1.47256i −0.0468235 0.0587149i
\(630\) −0.579265 0.0751302i −0.0230785 0.00299326i
\(631\) 4.85334 6.08590i 0.193209 0.242276i −0.675786 0.737098i \(-0.736195\pi\)
0.868994 + 0.494822i \(0.164767\pi\)
\(632\) 3.12759 0.471409i 0.124409 0.0187516i
\(633\) 11.2937 + 7.69990i 0.448884 + 0.306044i
\(634\) 13.8509 35.2915i 0.550089 1.40160i
\(635\) −2.04460 0.630675i −0.0811374 0.0250276i
\(636\) −8.53213 −0.338321
\(637\) 26.7574 5.16930i 1.06016 0.204815i
\(638\) −27.6783 −1.09579
\(639\) −5.11942 1.57913i −0.202521 0.0624695i
\(640\) −0.906772 + 2.31042i −0.0358433 + 0.0913273i
\(641\) 1.71913 + 1.17208i 0.0679015 + 0.0462945i 0.596795 0.802394i \(-0.296441\pi\)
−0.528894 + 0.848688i \(0.677393\pi\)
\(642\) 22.6986 3.42126i 0.895843 0.135027i
\(643\) −3.39064 + 4.25173i −0.133714 + 0.167672i −0.844181 0.536059i \(-0.819912\pi\)
0.710467 + 0.703731i \(0.248484\pi\)
\(644\) −0.294715 3.07922i −0.0116134 0.121338i
\(645\) −4.69989 5.89348i −0.185058 0.232055i
\(646\) −1.95358 1.81266i −0.0768626 0.0713181i
\(647\) −35.3311 5.32530i −1.38901 0.209359i −0.588410 0.808563i \(-0.700246\pi\)
−0.800597 + 0.599203i \(0.795484\pi\)
\(648\) 22.4290 20.8110i 0.881093 0.817535i
\(649\) 36.0077 24.5497i 1.41343 0.963659i
\(650\) 5.03093 + 22.0419i 0.197329 + 0.864556i
\(651\) 12.5996 16.4856i 0.493817 0.646120i
\(652\) −0.721862 + 3.16268i −0.0282703 + 0.123860i
\(653\) 15.9219 + 40.5683i 0.623071 + 1.58756i 0.797787 + 0.602940i \(0.206004\pi\)
−0.174716 + 0.984619i \(0.555901\pi\)
\(654\) −0.122117 1.62954i −0.00477514 0.0637199i
\(655\) 3.77309 + 6.53519i 0.147427 + 0.255351i
\(656\) −5.79362 + 10.0349i −0.226203 + 0.391795i
\(657\) −2.72785 1.31366i −0.106423 0.0512508i
\(658\) −15.6635 + 2.69229i −0.610625 + 0.104956i
\(659\) −35.2017 + 16.9523i −1.37127 + 0.660366i −0.967118 0.254328i \(-0.918146\pi\)
−0.404147 + 0.914694i \(0.632432\pi\)
\(660\) −0.119873 + 1.59960i −0.00466606 + 0.0622642i
\(661\) −12.9097 + 3.98211i −0.502129 + 0.154886i −0.535464 0.844558i \(-0.679863\pi\)
0.0333354 + 0.999444i \(0.489387\pi\)
\(662\) −11.2654 + 3.47491i −0.437841 + 0.135056i
\(663\) −0.180009 + 2.40205i −0.00699097 + 0.0932880i
\(664\) 36.4505 17.5536i 1.41455 0.681213i
\(665\) 3.19583 + 7.67370i 0.123929 + 0.297573i
\(666\) −2.29885 1.10707i −0.0890785 0.0428979i
\(667\) 7.35769 12.7439i 0.284891 0.493445i
\(668\) 3.82928 + 6.63251i 0.148159 + 0.256620i
\(669\) 0.768461 + 10.2544i 0.0297104 + 0.396458i
\(670\) −1.01267 2.58025i −0.0391230 0.0996838i
\(671\) 7.13147 31.2450i 0.275307 1.20620i
\(672\) −12.2866 + 6.23221i −0.473966 + 0.240413i
\(673\) −3.22835 14.1443i −0.124444 0.545225i −0.998260 0.0589677i \(-0.981219\pi\)
0.873816 0.486257i \(-0.161638\pi\)
\(674\) 32.0235 21.8332i 1.23350 0.840985i
\(675\) −16.8500 + 15.6345i −0.648556 + 0.601772i
\(676\) 1.09874 + 0.165609i 0.0422594 + 0.00636958i
\(677\) −29.7279 27.5834i −1.14254 1.06012i −0.997498 0.0706918i \(-0.977479\pi\)
−0.145037 0.989426i \(-0.546330\pi\)
\(678\) −7.66185 9.60765i −0.294251 0.368980i
\(679\) −0.199054 + 0.192483i −0.00763898 + 0.00738683i
\(680\) 0.311421 0.390509i 0.0119424 0.0149753i
\(681\) 16.9686 2.55760i 0.650238 0.0980075i
\(682\) 15.0558 + 10.2649i 0.576518 + 0.393063i
\(683\) −1.28225 + 3.26713i −0.0490641 + 0.125013i −0.953305 0.302010i \(-0.902342\pi\)
0.904241 + 0.427023i \(0.140438\pi\)
\(684\) 1.19709 + 0.369252i 0.0457717 + 0.0141187i
\(685\) −5.67217 −0.216722
\(686\) 9.52769 + 20.4574i 0.363769 + 0.781066i
\(687\) −35.0031 −1.33545
\(688\) 21.9144 + 6.75971i 0.835480 + 0.257712i
\(689\) −12.8224 + 32.6708i −0.488493 + 1.24466i
\(690\) 2.03067 + 1.38449i 0.0773063 + 0.0527065i
\(691\) 27.8663 4.20016i 1.06008 0.159782i 0.404220 0.914662i \(-0.367543\pi\)
0.655863 + 0.754880i \(0.272305\pi\)
\(692\) 1.52806 1.91613i 0.0580882 0.0728403i
\(693\) 2.49473 2.41238i 0.0947668 0.0916387i
\(694\) −19.7119 24.7180i −0.748255 0.938282i
\(695\) 3.10465 + 2.88069i 0.117766 + 0.109271i
\(696\) −36.1009 5.44134i −1.36840 0.206254i
\(697\) 1.05799 0.981675i 0.0400744 0.0371836i
\(698\) −22.7559 + 15.5147i −0.861322 + 0.587240i
\(699\) −6.32409 27.7076i −0.239199 1.04800i
\(700\) 5.79380 2.93882i 0.218985 0.111077i
\(701\) 3.42531 15.0073i 0.129372 0.566817i −0.868140 0.496320i \(-0.834684\pi\)
0.997512 0.0704971i \(-0.0224585\pi\)
\(702\) −8.35898 21.2983i −0.315489 0.803854i
\(703\) 2.71351 + 36.2093i 0.102342 + 1.36566i
\(704\) −15.5216 26.8842i −0.584993 1.01324i
\(705\) −2.19087 + 3.79471i −0.0825131 + 0.142917i
\(706\) −18.7393 9.02435i −0.705261 0.339636i
\(707\) 4.42577 + 10.6270i 0.166448 + 0.399668i
\(708\) 10.6089 5.10898i 0.398707 0.192007i
\(709\) 1.88110 25.1016i 0.0706463 0.942709i −0.843449 0.537209i \(-0.819479\pi\)
0.914095 0.405499i \(-0.132902\pi\)
\(710\) 8.06059 2.48636i 0.302508 0.0933115i
\(711\) −0.369273 + 0.113906i −0.0138488 + 0.00427180i
\(712\) 0.431571 5.75891i 0.0161738 0.215824i
\(713\) −8.72853 + 4.20344i −0.326886 + 0.157420i
\(714\) −1.96587 + 0.337901i −0.0735709 + 0.0126456i
\(715\) 5.94495 + 2.86294i 0.222328 + 0.107068i
\(716\) 5.77593 10.0042i 0.215857 0.373875i
\(717\) −8.56807 14.8403i −0.319980 0.554222i
\(718\) 0.269602 + 3.59759i 0.0100615 + 0.134261i
\(719\) −6.59793 16.8112i −0.246061 0.626954i 0.753473 0.657479i \(-0.228377\pi\)
−0.999534 + 0.0305254i \(0.990282\pi\)
\(720\) 0.109023 0.477659i 0.00406303 0.0178013i
\(721\) 8.32138 10.8879i 0.309904 0.405485i
\(722\) 6.28079 + 27.5179i 0.233747 + 1.02411i
\(723\) −22.4593 + 15.3125i −0.835271 + 0.569478i
\(724\) 6.05217 5.61559i 0.224927 0.208702i
\(725\) 30.5600 + 4.60618i 1.13497 + 0.171069i
\(726\) 2.08364 + 1.93334i 0.0773313 + 0.0717529i
\(727\) 15.8416 + 19.8647i 0.587531 + 0.736740i 0.983377 0.181577i \(-0.0581201\pi\)
−0.395846 + 0.918317i \(0.629549\pi\)
\(728\) 3.00774 + 31.4252i 0.111474 + 1.16469i
\(729\) 14.2412 17.8579i 0.527451 0.661403i
\(730\) 4.71387 0.710502i 0.174468 0.0262969i
\(731\) −2.36015 1.60913i −0.0872934 0.0595157i
\(732\) 3.16357 8.06064i 0.116929 0.297930i
\(733\) 35.7234 + 11.0192i 1.31947 + 0.407004i 0.872968 0.487777i \(-0.162192\pi\)
0.446505 + 0.894781i \(0.352668\pi\)
\(734\) 39.1409 1.44472
\(735\) 6.01594 + 1.58723i 0.221901 + 0.0585457i
\(736\) 6.43253 0.237106
\(737\) 15.7364 + 4.85405i 0.579659 + 0.178801i
\(738\) 0.714310 1.82003i 0.0262941 0.0669963i
\(739\) −5.03505 3.43284i −0.185217 0.126279i 0.467162 0.884172i \(-0.345277\pi\)
−0.652379 + 0.757893i \(0.726229\pi\)
\(740\) −1.37845 + 0.207768i −0.0506730 + 0.00763772i
\(741\) 28.9537 36.3068i 1.06364 1.33376i
\(742\) −28.8221 3.73820i −1.05809 0.137234i
\(743\) −29.4648 36.9477i −1.08096 1.35548i −0.930261 0.366899i \(-0.880419\pi\)
−0.150698 0.988580i \(-0.548152\pi\)
\(744\) 17.6194 + 16.3484i 0.645959 + 0.599362i
\(745\) 2.57999 + 0.388870i 0.0945233 + 0.0142471i
\(746\) 16.6455 15.4448i 0.609435 0.565473i
\(747\) −4.08409 + 2.78448i −0.149429 + 0.101879i
\(748\) 0.135261 + 0.592619i 0.00494564 + 0.0216683i
\(749\) −27.1269 + 0.559451i −0.991195 + 0.0204419i
\(750\) −2.35360 + 10.3118i −0.0859413 + 0.376534i
\(751\) 10.0770 + 25.6758i 0.367715 + 0.936923i 0.988264 + 0.152755i \(0.0488147\pi\)
−0.620549 + 0.784168i \(0.713090\pi\)
\(752\) −0.996211 13.2935i −0.0363281 0.484765i
\(753\) 9.71945 + 16.8346i 0.354196 + 0.613486i
\(754\) −15.3812 + 26.6411i −0.560152 + 0.970212i
\(755\) −0.493763 0.237784i −0.0179699 0.00865384i
\(756\) −5.35453 + 3.81473i −0.194742 + 0.138740i
\(757\) −20.5176 + 9.88077i −0.745726 + 0.359123i −0.767848 0.640633i \(-0.778672\pi\)
0.0221216 + 0.999755i \(0.492958\pi\)
\(758\) −1.31601 + 17.5609i −0.0477995 + 0.637841i
\(759\) −13.9530 + 4.30395i −0.506464 + 0.156223i
\(760\) −9.20147 + 2.83828i −0.333773 + 0.102955i
\(761\) −3.97581 + 53.0534i −0.144123 + 1.92319i 0.192050 + 0.981385i \(0.438487\pi\)
−0.336172 + 0.941800i \(0.609132\pi\)
\(762\) −8.91808 + 4.29472i −0.323068 + 0.155581i
\(763\) −0.104596 + 1.92867i −0.00378664 + 0.0698224i
\(764\) 3.07362 + 1.48018i 0.111200 + 0.0535509i
\(765\) −0.0305129 + 0.0528499i −0.00110320 + 0.00191079i
\(766\) −13.2600 22.9670i −0.479103 0.829831i
\(767\) −3.61966 48.3011i −0.130698 1.74405i
\(768\) −7.70052 19.6206i −0.277868 0.707997i
\(769\) −6.46382 + 28.3198i −0.233091 + 1.02124i 0.713968 + 0.700179i \(0.246896\pi\)
−0.947059 + 0.321060i \(0.895961\pi\)
\(770\) −1.10577 + 5.35102i −0.0398493 + 0.192837i
\(771\) 0.373555 + 1.63665i 0.0134532 + 0.0589425i
\(772\) −0.997214 + 0.679889i −0.0358905 + 0.0244698i
\(773\) −6.53636 + 6.06486i −0.235097 + 0.218138i −0.788919 0.614497i \(-0.789359\pi\)
0.553823 + 0.832635i \(0.313169\pi\)
\(774\) −3.82646 0.576745i −0.137539 0.0207307i
\(775\) −14.9151 13.8392i −0.535766 0.497118i
\(776\) −0.199989 0.250778i −0.00717918 0.00900241i
\(777\) 22.7664 + 14.8436i 0.816739 + 0.532512i
\(778\) −4.49753 + 5.63973i −0.161244 + 0.202194i
\(779\) −27.5135 + 4.14699i −0.985774 + 0.148581i
\(780\) 1.47304 + 1.00430i 0.0527433 + 0.0359598i
\(781\) −18.3093 + 46.6514i −0.655160 + 1.66932i
\(782\) 0.889967 + 0.274518i 0.0318252 + 0.00981676i
\(783\) −31.2758 −1.11771
\(784\) −17.8425 + 6.32039i −0.637232 + 0.225728i
\(785\) −9.84420 −0.351355
\(786\) 33.3587 + 10.2898i 1.18986 + 0.367025i
\(787\) 6.30813 16.0729i 0.224861 0.572936i −0.773268 0.634079i \(-0.781379\pi\)
0.998129 + 0.0611433i \(0.0194747\pi\)
\(788\) −0.361405 0.246402i −0.0128745 0.00877771i
\(789\) −18.8702 + 2.84422i −0.671796 + 0.101257i
\(790\) 0.379367 0.475711i 0.0134973 0.0169250i
\(791\) 7.52038 + 12.4267i 0.267394 + 0.441842i
\(792\) 2.50645 + 3.14299i 0.0890628 + 0.111681i
\(793\) −26.1111 24.2276i −0.927232 0.860346i
\(794\) 37.5141 + 5.65435i 1.33133 + 0.200665i
\(795\) −5.87382 + 5.45011i −0.208323 + 0.193295i
\(796\) −0.659456 + 0.449609i −0.0233738 + 0.0159360i
\(797\) −0.752292 3.29601i −0.0266476 0.116751i 0.959855 0.280497i \(-0.0904993\pi\)
−0.986502 + 0.163746i \(0.947642\pi\)
\(798\) 34.9835 + 15.9671i 1.23840 + 0.565229i
\(799\) −0.369483 + 1.61881i −0.0130714 + 0.0572694i
\(800\) 4.93560 + 12.5757i 0.174500 + 0.444619i
\(801\) 0.0527288 + 0.703617i 0.00186308 + 0.0248611i
\(802\) −2.71603 4.70430i −0.0959064 0.166115i
\(803\) −14.1611 + 24.5278i −0.499735 + 0.865566i
\(804\) 4.00888 + 1.93057i 0.141382 + 0.0680861i
\(805\) −2.16982 1.93159i −0.0764761 0.0680795i
\(806\) 18.2470 8.78729i 0.642723 0.309519i
\(807\) 0.0556660 0.742811i 0.00195953 0.0261482i
\(808\) −12.7427 + 3.93061i −0.448287 + 0.138278i
\(809\) 11.7089 3.61171i 0.411662 0.126981i −0.0820050 0.996632i \(-0.526132\pi\)
0.493667 + 0.869651i \(0.335656\pi\)
\(810\) 0.439857 5.86948i 0.0154550 0.206233i
\(811\) −3.22236 + 1.55181i −0.113152 + 0.0544913i −0.489604 0.871945i \(-0.662859\pi\)
0.376451 + 0.926436i \(0.377144\pi\)
\(812\) 8.49866 + 2.43075i 0.298244 + 0.0853027i
\(813\) 25.9443 + 12.4941i 0.909907 + 0.438188i
\(814\) −11.9340 + 20.6703i −0.418287 + 0.724495i
\(815\) 1.52329 + 2.63841i 0.0533584 + 0.0924194i
\(816\) −0.125031 1.66843i −0.00437697 0.0584066i
\(817\) 20.1191 + 51.2627i 0.703879 + 1.79345i
\(818\) 7.83544 34.3293i 0.273960 1.20030i
\(819\) −0.935624 3.74184i −0.0326933 0.130750i
\(820\) −0.237700 1.04143i −0.00830084 0.0363684i
\(821\) 26.7879 18.2636i 0.934903 0.637406i 0.00295371 0.999996i \(-0.499060\pi\)
0.931949 + 0.362590i \(0.118107\pi\)
\(822\) −19.2354 + 17.8478i −0.670911 + 0.622515i
\(823\) −25.5125 3.84539i −0.889310 0.134042i −0.311532 0.950236i \(-0.600842\pi\)
−0.577778 + 0.816194i \(0.696080\pi\)
\(824\) 11.6367 + 10.7973i 0.405384 + 0.376141i
\(825\) −19.1203 23.9761i −0.665683 0.834740i
\(826\) 38.0760 12.6104i 1.32483 0.438771i
\(827\) 5.37221 6.73653i 0.186810 0.234252i −0.679603 0.733580i \(-0.737848\pi\)
0.866413 + 0.499328i \(0.166420\pi\)
\(828\) −0.432909 + 0.0652505i −0.0150446 + 0.00226761i
\(829\) −35.9939 24.5402i −1.25012 0.852318i −0.256661 0.966502i \(-0.582622\pi\)
−0.993460 + 0.114184i \(0.963575\pi\)
\(830\) 2.84337 7.24478i 0.0986948 0.251470i
\(831\) −22.0315 6.79581i −0.764263 0.235744i
\(832\) −34.5024 −1.19616
\(833\) 2.35572 0.0972075i 0.0816208 0.00336804i
\(834\) 19.5927 0.678441
\(835\) 6.87289 + 2.12001i 0.237846 + 0.0733658i
\(836\) 4.28131 10.9086i 0.148072 0.377282i
\(837\) 17.0127 + 11.5991i 0.588046 + 0.400923i
\(838\) −5.65045 + 0.851668i −0.195192 + 0.0294204i
\(839\) −26.0318 + 32.6429i −0.898719 + 1.12696i 0.0926298 + 0.995701i \(0.470473\pi\)
−0.991348 + 0.131257i \(0.958099\pi\)
\(840\) −2.49424 + 6.76198i −0.0860594 + 0.233310i
\(841\) 8.13710 + 10.2036i 0.280590 + 0.351848i
\(842\) −12.2104 11.3296i −0.420799 0.390444i
\(843\) −4.49715 0.677837i −0.154890 0.0233459i
\(844\) 2.81029 2.60757i 0.0967341 0.0897562i
\(845\) 0.862201 0.587839i 0.0296606 0.0202223i
\(846\) 0.500535 + 2.19299i 0.0172088 + 0.0753965i
\(847\) −2.14847 2.58299i −0.0738223 0.0887526i
\(848\) 5.42457 23.7666i 0.186280 0.816148i
\(849\) −15.1719 38.6574i −0.520698 1.32672i
\(850\) 0.146172 + 1.95054i 0.00501367 + 0.0669028i
\(851\) −6.34482 10.9895i −0.217498 0.376717i
\(852\) −6.77041 + 11.7267i −0.231950 + 0.401750i
\(853\) 51.3099 + 24.7095i 1.75682 + 0.846039i 0.974896 + 0.222663i \(0.0714749\pi\)
0.781922 + 0.623376i \(0.214239\pi\)
\(854\) 14.2184 25.8433i 0.486542 0.884340i
\(855\) 1.05998 0.510461i 0.0362507 0.0174574i
\(856\) 2.34880 31.3425i 0.0802803 1.07127i
\(857\) 20.5900 6.35118i 0.703341 0.216952i 0.0776021 0.996984i \(-0.475274\pi\)
0.625739 + 0.780032i \(0.284797\pi\)
\(858\) 29.1689 8.99740i 0.995808 0.307166i
\(859\) 0.645342 8.61149i 0.0220188 0.293820i −0.975313 0.220825i \(-0.929125\pi\)
0.997332 0.0729954i \(-0.0232558\pi\)
\(860\) −1.90482 + 0.917314i −0.0649539 + 0.0312802i
\(861\) −10.0389 + 18.2467i −0.342124 + 0.621845i
\(862\) 19.2853 + 9.28729i 0.656858 + 0.316326i
\(863\) 4.07461 7.05743i 0.138701 0.240238i −0.788304 0.615286i \(-0.789041\pi\)
0.927005 + 0.375048i \(0.122374\pi\)
\(864\) −6.83580 11.8400i −0.232559 0.402804i
\(865\) −0.172003 2.29522i −0.00584827 0.0780397i
\(866\) −5.96516 15.1990i −0.202704 0.516482i
\(867\) 6.90262 30.2423i 0.234425 1.02708i
\(868\) −3.72143 4.47408i −0.126314 0.151860i
\(869\) 0.804400 + 3.52431i 0.0272874 + 0.119554i
\(870\) −5.80288 + 3.95634i −0.196736 + 0.134132i
\(871\) 13.4171 12.4493i 0.454622 0.421828i
\(872\) −2.21246 0.333474i −0.0749233 0.0112929i
\(873\) 0.0287281 + 0.0266558i 0.000972300 + 0.000902162i
\(874\) −11.1948 14.0378i −0.378669 0.474836i
\(875\) 4.32654 11.7294i 0.146264 0.396527i
\(876\) −4.77119 + 5.98289i −0.161204 + 0.202143i
\(877\) 17.2811 2.60470i 0.583540 0.0879545i 0.149364 0.988782i \(-0.452278\pi\)
0.434177 + 0.900828i \(0.357039\pi\)
\(878\) −21.5546 14.6957i −0.727433 0.495955i
\(879\) 9.94050 25.3280i 0.335285 0.854292i
\(880\) −4.37952 1.35090i −0.147634 0.0455389i
\(881\) −6.01851 −0.202769 −0.101384 0.994847i \(-0.532327\pi\)
−0.101384 + 0.994847i \(0.532327\pi\)
\(882\) 2.81810 1.50328i 0.0948902 0.0506182i
\(883\) 0.267947 0.00901712 0.00450856 0.999990i \(-0.498565\pi\)
0.00450856 + 0.999990i \(0.498565\pi\)
\(884\) 0.645578 + 0.199134i 0.0217131 + 0.00669762i
\(885\) 4.04006 10.2939i 0.135805 0.346026i
\(886\) 4.28120 + 2.91888i 0.143830 + 0.0980615i
\(887\) 4.39966 0.663141i 0.147726 0.0222661i −0.0747629 0.997201i \(-0.523820\pi\)
0.222489 + 0.974935i \(0.428582\pi\)
\(888\) −19.6293 + 24.6143i −0.658715 + 0.826002i
\(889\) 11.1065 3.67835i 0.372500 0.123368i
\(890\) −0.692671 0.868582i −0.0232184 0.0291150i
\(891\) 25.6343 + 23.7852i 0.858783 + 0.796834i
\(892\) 2.85190 + 0.429855i 0.0954888 + 0.0143926i
\(893\) 23.4657 21.7730i 0.785251 0.728606i
\(894\) 9.97283 6.79936i 0.333541 0.227405i
\(895\) −2.41408 10.5768i −0.0806937 0.353542i
\(896\) −3.29215 13.1663i −0.109983 0.439855i
\(897\) −3.61126 + 15.8220i −0.120576 + 0.528280i
\(898\) −16.3433 41.6420i −0.545382 1.38961i
\(899\) −2.06886 27.6070i −0.0690003 0.920745i
\(900\) −0.459732 0.796279i −0.0153244 0.0265426i
\(901\) −1.51821 + 2.62962i −0.0505789 + 0.0876053i
\(902\) −16.4784 7.93558i −0.548671 0.264226i
\(903\) 39.6293 + 11.3346i 1.31878 + 0.377193i
\(904\) −15.1596 + 7.30047i −0.504200 + 0.242810i
\(905\) 0.579428 7.73194i 0.0192609 0.257018i
\(906\) −2.42265 + 0.747287i −0.0804870 + 0.0248270i
\(907\) −15.0937 + 4.65581i −0.501180 + 0.154593i −0.535029 0.844833i \(-0.679699\pi\)
0.0338496 + 0.999427i \(0.489223\pi\)
\(908\) 0.359671 4.79948i 0.0119361 0.159276i
\(909\) 1.46793 0.706916i 0.0486880 0.0234469i
\(910\) 4.53601 + 4.03798i 0.150367 + 0.133858i
\(911\) −11.2611 5.42304i −0.373095 0.179673i 0.237934 0.971281i \(-0.423530\pi\)
−0.611029 + 0.791608i \(0.709244\pi\)
\(912\) −16.1276 + 27.9338i −0.534037 + 0.924980i
\(913\) 23.1194 + 40.0439i 0.765140 + 1.32526i
\(914\) 2.25457 + 30.0852i 0.0745746 + 0.995129i
\(915\) −2.97102 7.57003i −0.0982188 0.250257i
\(916\) −2.18456 + 9.57117i −0.0721798 + 0.316240i
\(917\) −37.5379 17.1330i −1.23961 0.565780i
\(918\) −0.440472 1.92983i −0.0145377 0.0636940i
\(919\) −31.9759 + 21.8008i −1.05479 + 0.719141i −0.961027 0.276454i \(-0.910841\pi\)
−0.0937589 + 0.995595i \(0.529888\pi\)
\(920\) 2.46684 2.28890i 0.0813294 0.0754627i
\(921\) −43.2940 6.52552i −1.42659 0.215023i
\(922\) −26.7337 24.8052i −0.880428 0.816917i
\(923\) 34.7285 + 43.5482i 1.14310 + 1.43341i
\(924\) −4.54129 7.50404i −0.149398 0.246865i
\(925\) 16.6164 20.8364i 0.546345 0.685096i
\(926\) 8.21842 1.23873i 0.270074 0.0407071i
\(927\) −1.60249 1.09256i −0.0526328 0.0358845i
\(928\) −6.71560 + 17.1111i −0.220450 + 0.561698i
\(929\) −10.0477 3.09929i −0.329653 0.101684i 0.125511 0.992092i \(-0.459943\pi\)
−0.455164 + 0.890408i \(0.650419\pi\)
\(930\) 4.62379 0.151620
\(931\) −38.5793 24.0348i −1.26438 0.787708i
\(932\) −7.97101 −0.261099
\(933\) −21.5486 6.64686i −0.705469 0.217608i
\(934\) 2.16464 5.51541i 0.0708291 0.180470i
\(935\) 0.471668 + 0.321578i 0.0154252 + 0.0105167i
\(936\) 4.41808 0.665919i 0.144410 0.0217662i
\(937\) −10.2021 + 12.7930i −0.333288 + 0.417930i −0.920032 0.391842i \(-0.871838\pi\)
0.586744 + 0.809772i \(0.300409\pi\)
\(938\) 12.6964 + 8.27803i 0.414553 + 0.270287i
\(939\) 14.1173 + 17.7025i 0.460700 + 0.577700i
\(940\) 0.900883 + 0.835898i 0.0293836 + 0.0272640i
\(941\) 4.27020 + 0.643630i 0.139205 + 0.0209817i 0.218275 0.975887i \(-0.429957\pi\)
−0.0790702 + 0.996869i \(0.525195\pi\)
\(942\) −33.3836 + 30.9754i −1.08770 + 1.00923i
\(943\) 8.03420 5.47763i 0.261630 0.178376i
\(944\) 7.48631 + 32.7997i 0.243659 + 1.06754i
\(945\) −1.24950 + 6.04653i −0.0406462 + 0.196694i
\(946\) −8.05494 + 35.2910i −0.261889 + 1.14741i
\(947\) 18.1492 + 46.2433i 0.589769 + 1.50271i 0.844424 + 0.535675i \(0.179943\pi\)
−0.254655 + 0.967032i \(0.581962\pi\)
\(948\) 0.0729906 + 0.973993i 0.00237063 + 0.0316338i
\(949\) 15.7391 + 27.2609i 0.510912 + 0.884926i
\(950\) 18.8545 32.6570i 0.611722 1.05953i
\(951\) 51.4943 + 24.7984i 1.66982 + 0.804142i
\(952\) −0.147901 + 2.72717i −0.00479350 + 0.0883882i
\(953\) 22.4248 10.7992i 0.726411 0.349821i −0.0338604 0.999427i \(-0.510780\pi\)
0.760272 + 0.649605i \(0.225066\pi\)
\(954\) −0.307396 + 4.10191i −0.00995230 + 0.132804i
\(955\) 3.06148 0.944342i 0.0990673 0.0305582i
\(956\) −4.59265 + 1.41664i −0.148537 + 0.0458175i
\(957\) 3.11821 41.6096i 0.100797 1.34505i
\(958\) −37.2568 + 17.9419i −1.20371 + 0.579677i
\(959\) 25.2607 17.9964i 0.815710 0.581135i
\(960\) −7.09701 3.41774i −0.229055 0.110307i
\(961\) 6.38692 11.0625i 0.206030 0.356854i
\(962\) 13.2638 + 22.9737i 0.427644 + 0.740700i
\(963\) 0.286973 + 3.82939i 0.00924759 + 0.123401i
\(964\) 2.78532 + 7.09689i 0.0897093 + 0.228575i
\(965\) −0.252221 + 1.10505i −0.00811930 + 0.0355730i
\(966\) −13.4361 + 0.277099i −0.432300 + 0.00891553i
\(967\) 5.68287 + 24.8983i 0.182749 + 0.800675i 0.980314 + 0.197443i \(0.0632636\pi\)
−0.797566 + 0.603232i \(0.793879\pi\)
\(968\) 3.21564 2.19239i 0.103355 0.0704660i
\(969\) 2.94511 2.73266i 0.0946106 0.0877858i
\(970\) −0.0610155 0.00919660i −0.00195909 0.000295285i
\(971\) 38.2013 + 35.4456i 1.22594 + 1.13750i 0.986005 + 0.166715i \(0.0533161\pi\)
0.239933 + 0.970789i \(0.422874\pi\)
\(972\) 1.24304 + 1.55873i 0.0398707 + 0.0499963i
\(973\) −22.9661 2.97869i −0.736260 0.0954923i
\(974\) 5.87785 7.37059i 0.188338 0.236169i
\(975\) −33.7031 + 5.07992i −1.07936 + 0.162688i
\(976\) 20.4419 + 13.9370i 0.654328 + 0.446113i
\(977\) −6.39499 + 16.2942i −0.204594 + 0.521297i −0.995935 0.0900786i \(-0.971288\pi\)
0.791341 + 0.611375i \(0.209383\pi\)
\(978\) 13.4677 + 4.15423i 0.430649 + 0.132838i
\(979\) 6.60039 0.210949
\(980\) 0.809465 1.54593i 0.0258574 0.0493829i
\(981\) 0.273369 0.00872799
\(982\) −9.15694 2.82454i −0.292210 0.0901348i
\(983\) 6.01807 15.3338i 0.191946 0.489072i −0.802207 0.597046i \(-0.796341\pi\)
0.994154 + 0.107974i \(0.0344363\pi\)
\(984\) −19.9328 13.5899i −0.635434 0.433232i
\(985\) −0.406199 + 0.0612247i −0.0129426 + 0.00195078i
\(986\) −1.65937 + 2.08079i −0.0528451 + 0.0662657i
\(987\) −2.28277 23.8506i −0.0726613 0.759174i
\(988\) −8.12064 10.1830i −0.258352 0.323963i
\(989\) −14.1078 13.0901i −0.448601 0.416241i
\(990\) 0.764703 + 0.115260i 0.0243039 + 0.00366322i
\(991\) 9.97278 9.25339i 0.316796 0.293944i −0.505706 0.862706i \(-0.668768\pi\)
0.822502 + 0.568762i \(0.192578\pi\)
\(992\) 9.99889 6.81713i 0.317465 0.216444i
\(993\) −3.95479 17.3270i −0.125501 0.549857i
\(994\) −28.0087 + 36.6472i −0.888383 + 1.16238i
\(995\) −0.166793 + 0.730770i −0.00528771 + 0.0231670i
\(996\) 4.56431 + 11.6297i 0.144626 + 0.368500i
\(997\) −1.92714 25.7159i −0.0610332 0.814432i −0.940786 0.339001i \(-0.889911\pi\)
0.879753 0.475431i \(-0.157708\pi\)
\(998\) 2.91078 + 5.04162i 0.0921391 + 0.159590i
\(999\) −13.4852 + 23.3570i −0.426652 + 0.738983i
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 49.2.g.a.2.2 48
3.2 odd 2 441.2.bb.d.100.3 48
4.3 odd 2 784.2.bg.c.737.1 48
7.2 even 3 343.2.e.d.246.6 48
7.3 odd 6 343.2.g.h.312.3 48
7.4 even 3 343.2.g.i.312.3 48
7.5 odd 6 343.2.e.c.246.6 48
7.6 odd 2 343.2.g.g.128.2 48
49.5 odd 42 2401.2.a.i.1.8 24
49.9 even 21 343.2.e.d.99.6 48
49.15 even 7 343.2.g.i.177.3 48
49.24 odd 42 343.2.g.g.67.2 48
49.25 even 21 inner 49.2.g.a.25.2 yes 48
49.34 odd 14 343.2.g.h.177.3 48
49.40 odd 42 343.2.e.c.99.6 48
49.44 even 21 2401.2.a.h.1.8 24
147.74 odd 42 441.2.bb.d.172.3 48
196.123 odd 42 784.2.bg.c.417.1 48
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
49.2.g.a.2.2 48 1.1 even 1 trivial
49.2.g.a.25.2 yes 48 49.25 even 21 inner
343.2.e.c.99.6 48 49.40 odd 42
343.2.e.c.246.6 48 7.5 odd 6
343.2.e.d.99.6 48 49.9 even 21
343.2.e.d.246.6 48 7.2 even 3
343.2.g.g.67.2 48 49.24 odd 42
343.2.g.g.128.2 48 7.6 odd 2
343.2.g.h.177.3 48 49.34 odd 14
343.2.g.h.312.3 48 7.3 odd 6
343.2.g.i.177.3 48 49.15 even 7
343.2.g.i.312.3 48 7.4 even 3
441.2.bb.d.100.3 48 3.2 odd 2
441.2.bb.d.172.3 48 147.74 odd 42
784.2.bg.c.417.1 48 196.123 odd 42
784.2.bg.c.737.1 48 4.3 odd 2
2401.2.a.h.1.8 24 49.44 even 21
2401.2.a.i.1.8 24 49.5 odd 42