Properties

Label 378.2.bf.a.101.16
Level $378$
Weight $2$
Character 378.101
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
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] = [378,2,Mod(5,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([5, 15]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(24\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 101.16
Character \(\chi\) \(=\) 378.101
Dual form 378.2.bf.a.131.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.642788 - 0.766044i) q^{2} +(-1.15279 - 1.29270i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-2.20580 + 1.85089i) q^{5} +(-1.73127 + 0.0521605i) q^{6} +(-0.418844 + 2.61239i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-0.342136 + 2.98043i) q^{9} +O(q^{10})\) \(q+(0.642788 - 0.766044i) q^{2} +(-1.15279 - 1.29270i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-2.20580 + 1.85089i) q^{5} +(-1.73127 + 0.0521605i) q^{6} +(-0.418844 + 2.61239i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-0.342136 + 2.98043i) q^{9} +2.87947i q^{10} +(-0.544631 + 0.649066i) q^{11} +(-1.07288 + 1.35975i) q^{12} +(0.238650 - 0.655686i) q^{13} +(1.73198 + 2.00006i) q^{14} +(4.93548 + 0.717746i) q^{15} +(-0.939693 + 0.342020i) q^{16} -5.45954 q^{17} +(2.06322 + 2.17787i) q^{18} +6.31121i q^{19} +(2.20580 + 1.85089i) q^{20} +(3.85987 - 2.47010i) q^{21} +(0.147131 + 0.834423i) q^{22} +(0.690989 - 1.89848i) q^{23} +(0.351999 + 1.69591i) q^{24} +(0.571539 - 3.24136i) q^{25} +(-0.348883 - 0.604283i) q^{26} +(4.24720 - 2.99354i) q^{27} +(2.64543 - 0.0411558i) q^{28} +(1.22071 + 3.35389i) q^{29} +(3.72229 - 3.31944i) q^{30} +(-1.81893 + 0.320726i) q^{31} +(-0.342020 + 0.939693i) q^{32} +(1.46689 - 0.0441953i) q^{33} +(-3.50932 + 4.18225i) q^{34} +(-3.91135 - 6.53765i) q^{35} +(2.99456 - 0.180607i) q^{36} +(4.14473 - 7.17888i) q^{37} +(4.83467 + 4.05677i) q^{38} +(-1.12272 + 0.447367i) q^{39} +(2.83573 - 0.500015i) q^{40} +(-9.58069 - 3.48709i) q^{41} +(0.588866 - 4.54458i) q^{42} +(-1.22118 + 6.92563i) q^{43} +(0.733780 + 0.423648i) q^{44} +(-4.76175 - 7.20749i) q^{45} +(-1.01016 - 1.74964i) q^{46} +(-1.46559 + 8.31176i) q^{47} +(1.52540 + 0.820460i) q^{48} +(-6.64914 - 2.18836i) q^{49} +(-2.11565 - 2.52133i) q^{50} +(6.29372 + 7.05753i) q^{51} +(-0.687165 - 0.121166i) q^{52} +(-4.75666 - 2.74626i) q^{53} +(0.436868 - 5.17775i) q^{54} -2.43976i q^{55} +(1.66892 - 2.05297i) q^{56} +(8.15849 - 7.27552i) q^{57} +(3.35389 + 1.22071i) q^{58} +(-2.80234 - 1.01997i) q^{59} +(-0.150195 - 4.98513i) q^{60} +(1.14069 + 0.201135i) q^{61} +(-0.923494 + 1.59954i) q^{62} +(-7.64273 - 2.14213i) q^{63} +(0.500000 + 0.866025i) q^{64} +(0.687186 + 1.88803i) q^{65} +(0.909045 - 1.15211i) q^{66} +(5.87675 - 4.93118i) q^{67} +(0.948039 + 5.37659i) q^{68} +(-3.25072 + 1.29531i) q^{69} +(-7.52230 - 1.20605i) q^{70} +(-10.1727 + 5.87322i) q^{71} +(1.78651 - 2.41006i) q^{72} +(-4.33894 + 2.50509i) q^{73} +(-2.83516 - 7.78954i) q^{74} +(-4.84896 + 2.99779i) q^{75} +(6.21533 - 1.09593i) q^{76} +(-1.46750 - 1.69465i) q^{77} +(-0.378966 + 1.14761i) q^{78} +(6.80006 + 5.70593i) q^{79} +(1.43974 - 2.49370i) q^{80} +(-8.76589 - 2.03942i) q^{81} +(-8.82961 + 5.09778i) q^{82} +(-2.72190 + 0.990692i) q^{83} +(-3.10284 - 3.37230i) q^{84} +(12.0427 - 10.1050i) q^{85} +(4.52038 + 5.38718i) q^{86} +(2.92833 - 5.44435i) q^{87} +(0.796198 - 0.289792i) q^{88} +0.134208 q^{89} +(-8.58206 - 0.985172i) q^{90} +(1.61295 + 0.898076i) q^{91} +(-1.98962 - 0.350824i) q^{92} +(2.51145 + 1.98159i) q^{93} +(5.42511 + 6.46540i) q^{94} +(-11.6814 - 13.9213i) q^{95} +(1.60902 - 0.641142i) q^{96} +(11.1785 + 1.97107i) q^{97} +(-5.95037 + 3.68688i) q^{98} +(-1.74816 - 1.84530i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q + 18 q^{6} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q + 18 q^{6} - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 6 q^{21} - 6 q^{23} - 6 q^{29} - 18 q^{30} - 54 q^{35} + 6 q^{36} - 6 q^{39} + 24 q^{42} - 54 q^{47} + 18 q^{49} + 12 q^{50} + 18 q^{51} + 90 q^{53} - 54 q^{54} - 12 q^{56} - 6 q^{57} - 90 q^{59} - 36 q^{60} - 24 q^{63} + 72 q^{64} - 84 q^{65} - 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} + 18 q^{74} - 90 q^{75} - 78 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 90 q^{87} - 18 q^{91} - 42 q^{92} - 12 q^{93} + 78 q^{95} - 36 q^{98} - 108 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.642788 0.766044i 0.454519 0.541675i
\(3\) −1.15279 1.29270i −0.665565 0.746340i
\(4\) −0.173648 0.984808i −0.0868241 0.492404i
\(5\) −2.20580 + 1.85089i −0.986465 + 0.827743i −0.985052 0.172256i \(-0.944894\pi\)
−0.00141321 + 0.999999i \(0.500450\pi\)
\(6\) −1.73127 + 0.0521605i −0.706786 + 0.0212944i
\(7\) −0.418844 + 2.61239i −0.158308 + 0.987390i
\(8\) −0.866025 0.500000i −0.306186 0.176777i
\(9\) −0.342136 + 2.98043i −0.114045 + 0.993476i
\(10\) 2.87947i 0.910569i
\(11\) −0.544631 + 0.649066i −0.164212 + 0.195701i −0.841876 0.539672i \(-0.818548\pi\)
0.677663 + 0.735373i \(0.262993\pi\)
\(12\) −1.07288 + 1.35975i −0.309713 + 0.392527i
\(13\) 0.238650 0.655686i 0.0661896 0.181854i −0.902188 0.431342i \(-0.858040\pi\)
0.968378 + 0.249488i \(0.0802623\pi\)
\(14\) 1.73198 + 2.00006i 0.462890 + 0.534539i
\(15\) 4.93548 + 0.717746i 1.27433 + 0.185321i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) −5.45954 −1.32413 −0.662066 0.749445i \(-0.730320\pi\)
−0.662066 + 0.749445i \(0.730320\pi\)
\(18\) 2.06322 + 2.17787i 0.486305 + 0.513330i
\(19\) 6.31121i 1.44789i 0.689857 + 0.723946i \(0.257673\pi\)
−0.689857 + 0.723946i \(0.742327\pi\)
\(20\) 2.20580 + 1.85089i 0.493233 + 0.413871i
\(21\) 3.85987 2.47010i 0.842292 0.539021i
\(22\) 0.147131 + 0.834423i 0.0313685 + 0.177900i
\(23\) 0.690989 1.89848i 0.144081 0.395860i −0.846570 0.532277i \(-0.821337\pi\)
0.990651 + 0.136417i \(0.0435588\pi\)
\(24\) 0.351999 + 1.69591i 0.0718515 + 0.346175i
\(25\) 0.571539 3.24136i 0.114308 0.648271i
\(26\) −0.348883 0.604283i −0.0684216 0.118510i
\(27\) 4.24720 2.99354i 0.817375 0.576106i
\(28\) 2.64543 0.0411558i 0.499940 0.00777772i
\(29\) 1.22071 + 3.35389i 0.226681 + 0.622801i 0.999936 0.0112939i \(-0.00359505\pi\)
−0.773255 + 0.634095i \(0.781373\pi\)
\(30\) 3.72229 3.31944i 0.679594 0.606043i
\(31\) −1.81893 + 0.320726i −0.326689 + 0.0576041i −0.334587 0.942365i \(-0.608597\pi\)
0.00789842 + 0.999969i \(0.497486\pi\)
\(32\) −0.342020 + 0.939693i −0.0604612 + 0.166116i
\(33\) 1.46689 0.0441953i 0.255353 0.00769342i
\(34\) −3.50932 + 4.18225i −0.601844 + 0.717250i
\(35\) −3.91135 6.53765i −0.661139 1.10506i
\(36\) 2.99456 0.180607i 0.499093 0.0301012i
\(37\) 4.14473 7.17888i 0.681389 1.18020i −0.293168 0.956061i \(-0.594709\pi\)
0.974557 0.224140i \(-0.0719572\pi\)
\(38\) 4.83467 + 4.05677i 0.784287 + 0.658095i
\(39\) −1.12272 + 0.447367i −0.179779 + 0.0716361i
\(40\) 2.83573 0.500015i 0.448368 0.0790593i
\(41\) −9.58069 3.48709i −1.49625 0.544591i −0.541165 0.840916i \(-0.682017\pi\)
−0.955087 + 0.296325i \(0.904239\pi\)
\(42\) 0.588866 4.54458i 0.0908640 0.701244i
\(43\) −1.22118 + 6.92563i −0.186227 + 1.05615i 0.738141 + 0.674647i \(0.235704\pi\)
−0.924368 + 0.381502i \(0.875407\pi\)
\(44\) 0.733780 + 0.423648i 0.110621 + 0.0638673i
\(45\) −4.76175 7.20749i −0.709840 1.07443i
\(46\) −1.01016 1.74964i −0.148940 0.257971i
\(47\) −1.46559 + 8.31176i −0.213778 + 1.21239i 0.669237 + 0.743049i \(0.266621\pi\)
−0.883015 + 0.469345i \(0.844490\pi\)
\(48\) 1.52540 + 0.820460i 0.220173 + 0.118423i
\(49\) −6.64914 2.18836i −0.949877 0.312624i
\(50\) −2.11565 2.52133i −0.299197 0.356570i
\(51\) 6.29372 + 7.05753i 0.881297 + 0.988252i
\(52\) −0.687165 0.121166i −0.0952927 0.0168027i
\(53\) −4.75666 2.74626i −0.653378 0.377228i 0.136371 0.990658i \(-0.456456\pi\)
−0.789749 + 0.613430i \(0.789789\pi\)
\(54\) 0.436868 5.17775i 0.0594502 0.704603i
\(55\) 2.43976i 0.328978i
\(56\) 1.66892 2.05297i 0.223019 0.274340i
\(57\) 8.15849 7.27552i 1.08062 0.963667i
\(58\) 3.35389 + 1.22071i 0.440387 + 0.160288i
\(59\) −2.80234 1.01997i −0.364834 0.132789i 0.153097 0.988211i \(-0.451075\pi\)
−0.517931 + 0.855422i \(0.673298\pi\)
\(60\) −0.150195 4.98513i −0.0193900 0.643578i
\(61\) 1.14069 + 0.201135i 0.146051 + 0.0257527i 0.246195 0.969220i \(-0.420819\pi\)
−0.100145 + 0.994973i \(0.531931\pi\)
\(62\) −0.923494 + 1.59954i −0.117284 + 0.203141i
\(63\) −7.64273 2.14213i −0.962893 0.269882i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) 0.687186 + 1.88803i 0.0852349 + 0.234181i
\(66\) 0.909045 1.15211i 0.111896 0.141815i
\(67\) 5.87675 4.93118i 0.717959 0.602440i −0.208861 0.977945i \(-0.566975\pi\)
0.926820 + 0.375506i \(0.122531\pi\)
\(68\) 0.948039 + 5.37659i 0.114967 + 0.652008i
\(69\) −3.25072 + 1.29531i −0.391341 + 0.155937i
\(70\) −7.52230 1.20605i −0.899087 0.144150i
\(71\) −10.1727 + 5.87322i −1.20728 + 0.697023i −0.962164 0.272471i \(-0.912159\pi\)
−0.245115 + 0.969494i \(0.578826\pi\)
\(72\) 1.78651 2.41006i 0.210542 0.284028i
\(73\) −4.33894 + 2.50509i −0.507835 + 0.293199i −0.731943 0.681366i \(-0.761386\pi\)
0.224108 + 0.974564i \(0.428053\pi\)
\(74\) −2.83516 7.78954i −0.329581 0.905516i
\(75\) −4.84896 + 2.99779i −0.559910 + 0.346155i
\(76\) 6.21533 1.09593i 0.712947 0.125712i
\(77\) −1.46750 1.69465i −0.167237 0.193123i
\(78\) −0.378966 + 1.14761i −0.0429094 + 0.129942i
\(79\) 6.80006 + 5.70593i 0.765066 + 0.641967i 0.939440 0.342713i \(-0.111346\pi\)
−0.174374 + 0.984680i \(0.555790\pi\)
\(80\) 1.43974 2.49370i 0.160967 0.278804i
\(81\) −8.76589 2.03942i −0.973987 0.226603i
\(82\) −8.82961 + 5.09778i −0.975068 + 0.562956i
\(83\) −2.72190 + 0.990692i −0.298768 + 0.108743i −0.487055 0.873372i \(-0.661929\pi\)
0.188287 + 0.982114i \(0.439707\pi\)
\(84\) −3.10284 3.37230i −0.338547 0.367948i
\(85\) 12.0427 10.1050i 1.30621 1.09604i
\(86\) 4.52038 + 5.38718i 0.487445 + 0.580915i
\(87\) 2.92833 5.44435i 0.313950 0.583696i
\(88\) 0.796198 0.289792i 0.0848749 0.0308920i
\(89\) 0.134208 0.0142260 0.00711299 0.999975i \(-0.497736\pi\)
0.00711299 + 0.999975i \(0.497736\pi\)
\(90\) −8.58206 0.985172i −0.904628 0.103846i
\(91\) 1.61295 + 0.898076i 0.169083 + 0.0941440i
\(92\) −1.98962 0.350824i −0.207432 0.0365759i
\(93\) 2.51145 + 1.98159i 0.260425 + 0.205482i
\(94\) 5.42511 + 6.46540i 0.559558 + 0.666855i
\(95\) −11.6814 13.9213i −1.19848 1.42829i
\(96\) 1.60902 0.641142i 0.164220 0.0654363i
\(97\) 11.1785 + 1.97107i 1.13500 + 0.200132i 0.709419 0.704787i \(-0.248957\pi\)
0.425585 + 0.904919i \(0.360068\pi\)
\(98\) −5.95037 + 3.68688i −0.601078 + 0.372431i
\(99\) −1.74816 1.84530i −0.175696 0.185460i
\(100\) −3.29136 −0.329136
\(101\) 18.2653 6.64804i 1.81747 0.661504i 0.821666 0.569969i \(-0.193045\pi\)
0.995802 0.0915357i \(-0.0291776\pi\)
\(102\) 9.45191 0.284772i 0.935878 0.0281966i
\(103\) −2.90681 3.46420i −0.286416 0.341338i 0.603582 0.797301i \(-0.293739\pi\)
−0.889999 + 0.455963i \(0.849295\pi\)
\(104\) −0.534520 + 0.448515i −0.0524140 + 0.0439805i
\(105\) −3.94222 + 12.5928i −0.384722 + 1.22893i
\(106\) −5.16128 + 1.87855i −0.501308 + 0.182461i
\(107\) 15.3170 8.84326i 1.48075 0.854910i 0.480986 0.876728i \(-0.340279\pi\)
0.999762 + 0.0218180i \(0.00694545\pi\)
\(108\) −3.68558 3.66286i −0.354645 0.352459i
\(109\) 3.43719 5.95338i 0.329223 0.570230i −0.653135 0.757241i \(-0.726547\pi\)
0.982358 + 0.187011i \(0.0598800\pi\)
\(110\) −1.86897 1.56825i −0.178199 0.149527i
\(111\) −14.0581 + 2.91788i −1.33434 + 0.276953i
\(112\) −0.499905 2.59809i −0.0472366 0.245497i
\(113\) 1.10879 0.195509i 0.104306 0.0183920i −0.121251 0.992622i \(-0.538691\pi\)
0.225558 + 0.974230i \(0.427580\pi\)
\(114\) −0.329196 10.9264i −0.0308320 1.02335i
\(115\) 1.98968 + 5.46661i 0.185539 + 0.509764i
\(116\) 3.09096 1.78457i 0.286988 0.165693i
\(117\) 1.87257 + 0.935613i 0.173119 + 0.0864974i
\(118\) −2.58265 + 1.49110i −0.237753 + 0.137267i
\(119\) 2.28669 14.2624i 0.209621 1.30743i
\(120\) −3.91537 3.08932i −0.357423 0.282015i
\(121\) 1.78547 + 10.1259i 0.162315 + 0.920535i
\(122\) 0.887301 0.744534i 0.0803324 0.0674069i
\(123\) 6.53681 + 16.4048i 0.589404 + 1.47917i
\(124\) 0.631707 + 1.73560i 0.0567289 + 0.155861i
\(125\) −2.45999 4.26083i −0.220028 0.381100i
\(126\) −6.55361 + 4.47774i −0.583842 + 0.398909i
\(127\) −8.54505 + 14.8005i −0.758250 + 1.31333i 0.185492 + 0.982646i \(0.440612\pi\)
−0.943742 + 0.330682i \(0.892721\pi\)
\(128\) 0.984808 + 0.173648i 0.0870455 + 0.0153485i
\(129\) 10.3605 6.40521i 0.912192 0.563947i
\(130\) 1.88803 + 0.687186i 0.165591 + 0.0602702i
\(131\) 15.7720 + 5.74053i 1.37800 + 0.501553i 0.921573 0.388206i \(-0.126905\pi\)
0.456432 + 0.889758i \(0.349127\pi\)
\(132\) −0.298247 1.43693i −0.0259591 0.125069i
\(133\) −16.4873 2.64341i −1.42963 0.229213i
\(134\) 7.67155i 0.662721i
\(135\) −3.82779 + 14.4643i −0.329444 + 1.24488i
\(136\) 4.72810 + 2.72977i 0.405431 + 0.234076i
\(137\) 3.72005 + 0.655945i 0.317825 + 0.0560411i 0.330285 0.943881i \(-0.392855\pi\)
−0.0124600 + 0.999922i \(0.503966\pi\)
\(138\) −1.09726 + 3.32281i −0.0934049 + 0.282856i
\(139\) 14.8502 + 17.6977i 1.25957 + 1.50110i 0.783076 + 0.621926i \(0.213649\pi\)
0.476497 + 0.879176i \(0.341906\pi\)
\(140\) −5.75913 + 4.98718i −0.486735 + 0.421494i
\(141\) 12.4341 7.68717i 1.04714 0.647377i
\(142\) −2.03975 + 11.5680i −0.171172 + 0.970764i
\(143\) 0.295607 + 0.512006i 0.0247199 + 0.0428161i
\(144\) −0.697863 2.91770i −0.0581553 0.243142i
\(145\) −8.90033 5.13861i −0.739132 0.426738i
\(146\) −0.870009 + 4.93407i −0.0720025 + 0.408346i
\(147\) 4.83619 + 11.1181i 0.398882 + 0.917002i
\(148\) −7.78954 2.83516i −0.640296 0.233049i
\(149\) −19.5650 + 3.44983i −1.60282 + 0.282621i −0.902333 0.431040i \(-0.858147\pi\)
−0.700491 + 0.713661i \(0.747036\pi\)
\(150\) −0.820414 + 5.64146i −0.0669865 + 0.460623i
\(151\) −5.48506 4.60251i −0.446368 0.374547i 0.391718 0.920085i \(-0.371881\pi\)
−0.838086 + 0.545538i \(0.816325\pi\)
\(152\) 3.15561 5.46567i 0.255953 0.443324i
\(153\) 1.86791 16.2718i 0.151011 1.31549i
\(154\) −2.24146 + 0.0348712i −0.180622 + 0.00281000i
\(155\) 3.41857 4.07409i 0.274586 0.327239i
\(156\) 0.635529 + 1.02798i 0.0508830 + 0.0823040i
\(157\) 7.64042 20.9919i 0.609772 1.67534i −0.120949 0.992659i \(-0.538594\pi\)
0.730721 0.682676i \(-0.239184\pi\)
\(158\) 8.74199 1.54145i 0.695475 0.122631i
\(159\) 1.93336 + 9.31480i 0.153326 + 0.738712i
\(160\) −0.984837 2.70582i −0.0778582 0.213914i
\(161\) 4.67014 + 2.60029i 0.368058 + 0.204932i
\(162\) −7.19689 + 5.40414i −0.565441 + 0.424589i
\(163\) −11.0905 19.2093i −0.868675 1.50459i −0.863351 0.504604i \(-0.831639\pi\)
−0.00532420 0.999986i \(-0.501695\pi\)
\(164\) −1.77044 + 10.0407i −0.138248 + 0.784044i
\(165\) −3.15388 + 2.81254i −0.245529 + 0.218956i
\(166\) −0.990692 + 2.72190i −0.0768926 + 0.211261i
\(167\) −0.343086 1.94574i −0.0265488 0.150566i 0.968652 0.248423i \(-0.0799122\pi\)
−0.995200 + 0.0978573i \(0.968801\pi\)
\(168\) −4.57780 + 0.209239i −0.353185 + 0.0161431i
\(169\) 9.58561 + 8.04328i 0.737354 + 0.618714i
\(170\) 15.7206i 1.20571i
\(171\) −18.8101 2.15929i −1.43844 0.165125i
\(172\) 7.03247 0.536221
\(173\) 6.37929 2.32187i 0.485008 0.176529i −0.0879307 0.996127i \(-0.528025\pi\)
0.572939 + 0.819598i \(0.305803\pi\)
\(174\) −2.28832 5.74279i −0.173477 0.435360i
\(175\) 8.22830 + 2.85070i 0.622001 + 0.215493i
\(176\) 0.289792 0.796198i 0.0218439 0.0600156i
\(177\) 1.91201 + 4.79840i 0.143715 + 0.360670i
\(178\) 0.0862670 0.102809i 0.00646599 0.00770586i
\(179\) 20.3412i 1.52037i 0.649707 + 0.760185i \(0.274892\pi\)
−0.649707 + 0.760185i \(0.725108\pi\)
\(180\) −6.27112 + 5.94098i −0.467422 + 0.442814i
\(181\) −1.84746 1.06663i −0.137321 0.0792822i 0.429766 0.902940i \(-0.358596\pi\)
−0.567086 + 0.823658i \(0.691929\pi\)
\(182\) 1.72475 0.658317i 0.127847 0.0487977i
\(183\) −1.05498 1.70644i −0.0779860 0.126143i
\(184\) −1.54765 + 1.29863i −0.114094 + 0.0957365i
\(185\) 4.14485 + 23.5066i 0.304736 + 1.72824i
\(186\) 3.13232 0.650138i 0.229673 0.0476704i
\(187\) 2.97343 3.54360i 0.217439 0.259134i
\(188\) 8.43998 0.615549
\(189\) 6.04136 + 12.3492i 0.439444 + 0.898270i
\(190\) −18.1730 −1.31841
\(191\) −4.53498 + 5.40458i −0.328140 + 0.391062i −0.904740 0.425965i \(-0.859935\pi\)
0.576600 + 0.817027i \(0.304379\pi\)
\(192\) 0.543113 1.64470i 0.0391958 0.118696i
\(193\) 1.24979 + 7.08790i 0.0899617 + 0.510198i 0.996175 + 0.0873779i \(0.0278488\pi\)
−0.906214 + 0.422820i \(0.861040\pi\)
\(194\) 8.69532 7.29624i 0.624288 0.523840i
\(195\) 1.64847 3.06483i 0.118049 0.219477i
\(196\) −1.00051 + 6.92813i −0.0714648 + 0.494866i
\(197\) 11.3468 + 6.55106i 0.808424 + 0.466744i 0.846408 0.532534i \(-0.178760\pi\)
−0.0379841 + 0.999278i \(0.512094\pi\)
\(198\) −2.53728 + 0.153028i −0.180316 + 0.0108752i
\(199\) 9.82941i 0.696788i −0.937348 0.348394i \(-0.886727\pi\)
0.937348 0.348394i \(-0.113273\pi\)
\(200\) −2.11565 + 2.52133i −0.149599 + 0.178285i
\(201\) −13.1492 1.91223i −0.927473 0.134879i
\(202\) 6.64804 18.2653i 0.467754 1.28514i
\(203\) −9.27294 + 1.78423i −0.650833 + 0.125228i
\(204\) 5.85742 7.42363i 0.410101 0.519758i
\(205\) 27.5873 10.0410i 1.92678 0.701292i
\(206\) −4.52219 −0.315076
\(207\) 5.42185 + 2.70898i 0.376845 + 0.188287i
\(208\) 0.697766i 0.0483814i
\(209\) −4.09640 3.43728i −0.283354 0.237762i
\(210\) 7.11260 + 11.1144i 0.490816 + 0.766965i
\(211\) 0.782150 + 4.43579i 0.0538454 + 0.305372i 0.999822 0.0188622i \(-0.00600438\pi\)
−0.945977 + 0.324235i \(0.894893\pi\)
\(212\) −1.87855 + 5.16128i −0.129020 + 0.354478i
\(213\) 19.3193 + 6.37964i 1.32374 + 0.437126i
\(214\) 3.07123 17.4178i 0.209945 1.19066i
\(215\) −10.1249 17.5368i −0.690512 1.19600i
\(216\) −5.17495 + 0.468877i −0.352111 + 0.0319030i
\(217\) −0.0760143 4.88608i −0.00516018 0.331689i
\(218\) −2.35117 6.45980i −0.159242 0.437513i
\(219\) 8.24023 + 2.72109i 0.556823 + 0.183874i
\(220\) −2.40270 + 0.423661i −0.161990 + 0.0285632i
\(221\) −1.30292 + 3.57974i −0.0876438 + 0.240799i
\(222\) −6.80117 + 12.6447i −0.456465 + 0.848659i
\(223\) −10.9462 + 13.0452i −0.733011 + 0.873568i −0.995825 0.0912780i \(-0.970905\pi\)
0.262815 + 0.964846i \(0.415349\pi\)
\(224\) −2.31159 1.28707i −0.154450 0.0859962i
\(225\) 9.46508 + 2.81241i 0.631005 + 0.187494i
\(226\) 0.562947 0.975053i 0.0374467 0.0648596i
\(227\) 16.9082 + 14.1877i 1.12224 + 0.941669i 0.998715 0.0506723i \(-0.0161364\pi\)
0.123523 + 0.992342i \(0.460581\pi\)
\(228\) −8.58170 6.77117i −0.568337 0.448431i
\(229\) −26.9940 + 4.75977i −1.78381 + 0.314534i −0.965532 0.260283i \(-0.916184\pi\)
−0.818281 + 0.574818i \(0.805073\pi\)
\(230\) 5.46661 + 1.98968i 0.360457 + 0.131196i
\(231\) −0.498944 + 3.85061i −0.0328281 + 0.253351i
\(232\) 0.619773 3.51491i 0.0406901 0.230765i
\(233\) 7.23798 + 4.17885i 0.474176 + 0.273766i 0.717986 0.696057i \(-0.245064\pi\)
−0.243810 + 0.969823i \(0.578397\pi\)
\(234\) 1.92039 0.833073i 0.125540 0.0544597i
\(235\) −12.1513 21.0467i −0.792666 1.37294i
\(236\) −0.517852 + 2.93689i −0.0337093 + 0.191175i
\(237\) −0.463020 15.3682i −0.0300764 0.998270i
\(238\) −9.45580 10.9194i −0.612928 0.707801i
\(239\) −11.2220 13.3739i −0.725893 0.865086i 0.269296 0.963058i \(-0.413209\pi\)
−0.995189 + 0.0979714i \(0.968765\pi\)
\(240\) −4.88331 + 1.01357i −0.315217 + 0.0654258i
\(241\) −23.0052 4.05644i −1.48189 0.261298i −0.626560 0.779373i \(-0.715538\pi\)
−0.855335 + 0.518075i \(0.826649\pi\)
\(242\) 8.90455 + 5.14104i 0.572406 + 0.330479i
\(243\) 7.46889 + 13.6827i 0.479130 + 0.877744i
\(244\) 1.15829i 0.0741519i
\(245\) 18.7171 7.47972i 1.19579 0.477862i
\(246\) 16.7686 + 5.53734i 1.06913 + 0.353048i
\(247\) 4.13817 + 1.50617i 0.263306 + 0.0958354i
\(248\) 1.73560 + 0.631707i 0.110211 + 0.0401134i
\(249\) 4.41846 + 2.37654i 0.280008 + 0.150607i
\(250\) −4.84524 0.854346i −0.306440 0.0540336i
\(251\) −12.6891 + 21.9781i −0.800927 + 1.38725i 0.118079 + 0.993004i \(0.462326\pi\)
−0.919006 + 0.394243i \(0.871007\pi\)
\(252\) −0.782436 + 7.89859i −0.0492888 + 0.497565i
\(253\) 0.855902 + 1.48247i 0.0538101 + 0.0932019i
\(254\) 5.84516 + 16.0594i 0.366758 + 1.00766i
\(255\) −26.9454 3.91856i −1.68739 0.245390i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) 4.23545 + 24.0204i 0.264200 + 1.49835i 0.771303 + 0.636468i \(0.219605\pi\)
−0.507103 + 0.861886i \(0.669284\pi\)
\(258\) 1.75293 12.0538i 0.109133 0.750437i
\(259\) 17.0180 + 13.8345i 1.05745 + 0.859632i
\(260\) 1.74002 1.00460i 0.107911 0.0623026i
\(261\) −10.4137 + 2.49076i −0.644589 + 0.154174i
\(262\) 14.5355 8.39210i 0.898009 0.518465i
\(263\) 1.98144 + 5.44397i 0.122181 + 0.335690i 0.985672 0.168675i \(-0.0539489\pi\)
−0.863491 + 0.504365i \(0.831727\pi\)
\(264\) −1.29246 0.695173i −0.0795457 0.0427849i
\(265\) 15.5753 2.74634i 0.956782 0.168707i
\(266\) −12.6228 + 10.9309i −0.773955 + 0.670215i
\(267\) −0.154714 0.173490i −0.00946832 0.0106174i
\(268\) −5.87675 4.93118i −0.358980 0.301220i
\(269\) −8.30029 + 14.3765i −0.506077 + 0.876552i 0.493898 + 0.869520i \(0.335572\pi\)
−0.999975 + 0.00703187i \(0.997762\pi\)
\(270\) 8.61980 + 12.2297i 0.524585 + 0.744276i
\(271\) 12.4540 7.19030i 0.756524 0.436780i −0.0715221 0.997439i \(-0.522786\pi\)
0.828046 + 0.560659i \(0.189452\pi\)
\(272\) 5.13029 1.86727i 0.311069 0.113220i
\(273\) −0.698454 3.12035i −0.0422723 0.188852i
\(274\) 2.89368 2.42809i 0.174814 0.146686i
\(275\) 1.79258 + 2.13631i 0.108096 + 0.128824i
\(276\) 1.84011 + 2.97641i 0.110762 + 0.179159i
\(277\) −25.6879 + 9.34964i −1.54344 + 0.561765i −0.966867 0.255282i \(-0.917832\pi\)
−0.576571 + 0.817047i \(0.695609\pi\)
\(278\) 23.1027 1.38561
\(279\) −0.333579 5.53091i −0.0199709 0.331127i
\(280\) 0.118507 + 7.61745i 0.00708215 + 0.455229i
\(281\) 0.0327715 + 0.00577851i 0.00195499 + 0.000344717i 0.174626 0.984635i \(-0.444128\pi\)
−0.172671 + 0.984980i \(0.555240\pi\)
\(282\) 2.10377 14.4663i 0.125278 0.861456i
\(283\) −1.52144 1.81318i −0.0904403 0.107783i 0.718926 0.695086i \(-0.244634\pi\)
−0.809367 + 0.587304i \(0.800189\pi\)
\(284\) 7.55046 + 8.99829i 0.448038 + 0.533950i
\(285\) −4.52985 + 31.1488i −0.268325 + 1.84510i
\(286\) 0.582232 + 0.102663i 0.0344281 + 0.00607061i
\(287\) 13.1224 23.5679i 0.774593 1.39117i
\(288\) −2.68367 1.34087i −0.158137 0.0790115i
\(289\) 12.8065 0.753326
\(290\) −9.65742 + 3.51501i −0.567103 + 0.206409i
\(291\) −10.3385 16.7226i −0.606053 0.980299i
\(292\) 3.22048 + 3.83802i 0.188465 + 0.224603i
\(293\) 2.84093 2.38382i 0.165969 0.139264i −0.556020 0.831169i \(-0.687672\pi\)
0.721989 + 0.691904i \(0.243228\pi\)
\(294\) 11.6256 + 3.44182i 0.678017 + 0.200731i
\(295\) 8.06927 2.93698i 0.469811 0.170997i
\(296\) −7.17888 + 4.14473i −0.417264 + 0.240907i
\(297\) −0.370157 + 4.38709i −0.0214787 + 0.254565i
\(298\) −9.93339 + 17.2051i −0.575426 + 0.996666i
\(299\) −1.07990 0.906142i −0.0624521 0.0524036i
\(300\) 3.79426 + 4.25473i 0.219062 + 0.245647i
\(301\) −17.5809 6.09094i −1.01335 0.351076i
\(302\) −7.05146 + 1.24336i −0.405766 + 0.0715475i
\(303\) −29.6500 15.9477i −1.70335 0.916174i
\(304\) −2.15856 5.93060i −0.123802 0.340143i
\(305\) −2.88842 + 1.66763i −0.165390 + 0.0954882i
\(306\) −11.2642 11.8902i −0.643932 0.679716i
\(307\) 4.76660 2.75200i 0.272044 0.157065i −0.357772 0.933809i \(-0.616463\pi\)
0.629816 + 0.776744i \(0.283130\pi\)
\(308\) −1.41407 + 1.73947i −0.0805742 + 0.0991158i
\(309\) −1.12722 + 7.75113i −0.0641250 + 0.440947i
\(310\) −0.923521 5.23755i −0.0524525 0.297473i
\(311\) 7.47334 6.27088i 0.423774 0.355589i −0.405822 0.913952i \(-0.633015\pi\)
0.829597 + 0.558363i \(0.188570\pi\)
\(312\) 1.19599 + 0.173927i 0.0677093 + 0.00984669i
\(313\) −4.78200 13.1385i −0.270295 0.742629i −0.998367 0.0571284i \(-0.981806\pi\)
0.728072 0.685501i \(-0.240417\pi\)
\(314\) −11.1696 19.3462i −0.630334 1.09177i
\(315\) 20.8232 9.42073i 1.17325 0.530798i
\(316\) 4.43842 7.68757i 0.249681 0.432460i
\(317\) 7.18432 + 1.26679i 0.403512 + 0.0711500i 0.371721 0.928345i \(-0.378768\pi\)
0.0317909 + 0.999495i \(0.489879\pi\)
\(318\) 8.37829 + 4.50640i 0.469831 + 0.252706i
\(319\) −2.84173 1.03431i −0.159107 0.0579100i
\(320\) −2.70582 0.984837i −0.151260 0.0550541i
\(321\) −29.0890 9.60578i −1.62359 0.536142i
\(322\) 4.99385 1.90610i 0.278296 0.106223i
\(323\) 34.4563i 1.91720i
\(324\) −0.486261 + 8.98685i −0.0270145 + 0.499270i
\(325\) −1.98891 1.14830i −0.110325 0.0636962i
\(326\) −21.8440 3.85169i −1.20983 0.213325i
\(327\) −11.6583 + 2.41977i −0.644705 + 0.133814i
\(328\) 6.55358 + 7.81025i 0.361861 + 0.431249i
\(329\) −21.0997 7.31001i −1.16326 0.403014i
\(330\) 0.127259 + 4.22388i 0.00700539 + 0.232517i
\(331\) −4.90411 + 27.8126i −0.269554 + 1.52872i 0.486191 + 0.873853i \(0.338386\pi\)
−0.755745 + 0.654866i \(0.772725\pi\)
\(332\) 1.44829 + 2.50852i 0.0794855 + 0.137673i
\(333\) 19.9781 + 14.8092i 1.09479 + 0.811540i
\(334\) −1.71105 0.987876i −0.0936246 0.0540542i
\(335\) −3.83589 + 21.7544i −0.209577 + 1.18857i
\(336\) −2.78226 + 3.64129i −0.151785 + 0.198649i
\(337\) −0.277261 0.100915i −0.0151034 0.00549717i 0.334457 0.942411i \(-0.391447\pi\)
−0.349561 + 0.936914i \(0.613669\pi\)
\(338\) 12.3230 2.17288i 0.670284 0.118189i
\(339\) −1.53094 1.20795i −0.0831492 0.0656067i
\(340\) −12.0427 10.1050i −0.653105 0.548020i
\(341\) 0.782472 1.35528i 0.0423732 0.0733926i
\(342\) −13.7450 + 13.0214i −0.743246 + 0.704117i
\(343\) 8.50181 16.4535i 0.459054 0.888408i
\(344\) 4.52038 5.38718i 0.243723 0.290457i
\(345\) 4.77298 8.87393i 0.256969 0.477756i
\(346\) 2.32187 6.37929i 0.124825 0.342953i
\(347\) 5.09714 0.898764i 0.273629 0.0482482i −0.0351498 0.999382i \(-0.511191\pi\)
0.308779 + 0.951134i \(0.400080\pi\)
\(348\) −5.87014 1.93844i −0.314672 0.103911i
\(349\) −6.05907 16.6472i −0.324335 0.891102i −0.989516 0.144420i \(-0.953868\pi\)
0.665182 0.746681i \(-0.268354\pi\)
\(350\) 7.47281 4.47084i 0.399439 0.238977i
\(351\) −0.949223 3.49924i −0.0506658 0.186775i
\(352\) −0.423648 0.733780i −0.0225805 0.0391106i
\(353\) 4.30273 24.4020i 0.229011 1.29879i −0.625855 0.779939i \(-0.715250\pi\)
0.854866 0.518848i \(-0.173639\pi\)
\(354\) 4.90480 + 1.61967i 0.260687 + 0.0860843i
\(355\) 11.5683 31.7837i 0.613983 1.68691i
\(356\) −0.0233049 0.132169i −0.00123516 0.00700493i
\(357\) −21.0731 + 13.4856i −1.11531 + 0.713735i
\(358\) 15.5822 + 13.0750i 0.823547 + 0.691038i
\(359\) 5.85431i 0.308979i −0.987994 0.154489i \(-0.950627\pi\)
0.987994 0.154489i \(-0.0493733\pi\)
\(360\) 0.520053 + 8.62275i 0.0274092 + 0.454459i
\(361\) −20.8314 −1.09639
\(362\) −2.00461 + 0.729620i −0.105360 + 0.0383480i
\(363\) 11.0314 13.9811i 0.579000 0.733818i
\(364\) 0.604347 1.74439i 0.0316764 0.0914310i
\(365\) 4.93421 13.5566i 0.258269 0.709587i
\(366\) −1.98533 0.288719i −0.103775 0.0150916i
\(367\) 9.09290 10.8365i 0.474646 0.565661i −0.474598 0.880203i \(-0.657407\pi\)
0.949244 + 0.314542i \(0.101851\pi\)
\(368\) 2.02032i 0.105316i
\(369\) 13.6709 27.3615i 0.711679 1.42438i
\(370\) 20.6714 + 11.9346i 1.07465 + 0.620452i
\(371\) 9.16660 11.2760i 0.475906 0.585421i
\(372\) 1.51538 2.81739i 0.0785688 0.146075i
\(373\) −23.1038 + 19.3864i −1.19627 + 1.00379i −0.196543 + 0.980495i \(0.562971\pi\)
−0.999729 + 0.0232957i \(0.992584\pi\)
\(374\) −0.803269 4.55557i −0.0415361 0.235563i
\(375\) −2.67210 + 8.09188i −0.137987 + 0.417863i
\(376\) 5.42511 6.46540i 0.279779 0.333427i
\(377\) 2.49042 0.128263
\(378\) 13.3433 + 3.30994i 0.686307 + 0.170245i
\(379\) −19.8014 −1.01713 −0.508566 0.861023i \(-0.669824\pi\)
−0.508566 + 0.861023i \(0.669824\pi\)
\(380\) −11.6814 + 13.9213i −0.599241 + 0.714147i
\(381\) 28.9832 6.01570i 1.48485 0.308194i
\(382\) 1.22512 + 6.94799i 0.0626825 + 0.355490i
\(383\) 13.4982 11.3264i 0.689727 0.578750i −0.229103 0.973402i \(-0.573579\pi\)
0.918831 + 0.394652i \(0.129135\pi\)
\(384\) −0.910805 1.47324i −0.0464793 0.0751809i
\(385\) 6.37361 + 1.02188i 0.324829 + 0.0520798i
\(386\) 6.23300 + 3.59862i 0.317251 + 0.183165i
\(387\) −20.2235 6.00913i −1.02802 0.305461i
\(388\) 11.3509i 0.576257i
\(389\) 0.595633 0.709848i 0.0301998 0.0359907i −0.750733 0.660606i \(-0.770300\pi\)
0.780933 + 0.624615i \(0.214744\pi\)
\(390\) −1.28818 3.23283i −0.0652296 0.163701i
\(391\) −3.77248 + 10.3648i −0.190782 + 0.524170i
\(392\) 4.66414 + 5.21975i 0.235575 + 0.263637i
\(393\) −10.7611 27.0061i −0.542824 1.36228i
\(394\) 12.3120 4.48119i 0.620268 0.225759i
\(395\) −25.5606 −1.28609
\(396\) −1.51370 + 2.04203i −0.0760665 + 0.102616i
\(397\) 26.2634i 1.31812i −0.752089 0.659062i \(-0.770954\pi\)
0.752089 0.659062i \(-0.229046\pi\)
\(398\) −7.52977 6.31822i −0.377433 0.316704i
\(399\) 15.5894 + 24.3605i 0.780444 + 1.21955i
\(400\) 0.571539 + 3.24136i 0.0285769 + 0.162068i
\(401\) −0.0365428 + 0.100400i −0.00182486 + 0.00501376i −0.940602 0.339512i \(-0.889738\pi\)
0.938777 + 0.344526i \(0.111960\pi\)
\(402\) −9.91700 + 8.84371i −0.494615 + 0.441084i
\(403\) −0.223792 + 1.26919i −0.0111479 + 0.0632226i
\(404\) −9.71878 16.8334i −0.483527 0.837494i
\(405\) 23.1106 11.7261i 1.14837 0.582675i
\(406\) −4.59373 + 8.25036i −0.227983 + 0.409459i
\(407\) 2.40222 + 6.60005i 0.119074 + 0.327152i
\(408\) −1.92175 9.25886i −0.0951409 0.458382i
\(409\) −30.9097 + 5.45022i −1.52839 + 0.269496i −0.873723 0.486424i \(-0.838301\pi\)
−0.654664 + 0.755920i \(0.727190\pi\)
\(410\) 10.0410 27.5873i 0.495888 1.36244i
\(411\) −3.44051 5.56507i −0.169708 0.274504i
\(412\) −2.90681 + 3.46420i −0.143208 + 0.170669i
\(413\) 3.83830 6.89360i 0.188870 0.339212i
\(414\) 5.56030 2.41208i 0.273274 0.118547i
\(415\) 4.17032 7.22321i 0.204713 0.354574i
\(416\) 0.534520 + 0.448515i 0.0262070 + 0.0219903i
\(417\) 5.75866 39.5986i 0.282003 1.93915i
\(418\) −5.26622 + 0.928577i −0.257579 + 0.0454182i
\(419\) 28.2118 + 10.2683i 1.37824 + 0.501638i 0.921644 0.388037i \(-0.126847\pi\)
0.456594 + 0.889675i \(0.349069\pi\)
\(420\) 13.0860 + 1.69562i 0.638531 + 0.0827380i
\(421\) −3.63038 + 20.5889i −0.176934 + 1.00344i 0.758954 + 0.651144i \(0.225711\pi\)
−0.935888 + 0.352298i \(0.885400\pi\)
\(422\) 3.90077 + 2.25211i 0.189886 + 0.109631i
\(423\) −24.2712 7.21183i −1.18010 0.350651i
\(424\) 2.74626 + 4.75666i 0.133370 + 0.231004i
\(425\) −3.12034 + 17.6963i −0.151359 + 0.858397i
\(426\) 17.3053 10.6987i 0.838445 0.518354i
\(427\) −1.00321 + 2.89569i −0.0485489 + 0.140132i
\(428\) −11.3687 13.5487i −0.549526 0.654899i
\(429\) 0.321096 0.972368i 0.0155027 0.0469464i
\(430\) −19.9422 3.51634i −0.961696 0.169573i
\(431\) 11.1402 + 6.43177i 0.536602 + 0.309808i 0.743701 0.668513i \(-0.233069\pi\)
−0.207098 + 0.978320i \(0.566402\pi\)
\(432\) −2.96722 + 4.26563i −0.142760 + 0.205230i
\(433\) 9.32591i 0.448174i 0.974569 + 0.224087i \(0.0719401\pi\)
−0.974569 + 0.224087i \(0.928060\pi\)
\(434\) −3.79181 3.08248i −0.182013 0.147964i
\(435\) 3.61757 + 17.4292i 0.173449 + 0.835666i
\(436\) −6.45980 2.35117i −0.309368 0.112601i
\(437\) 11.9817 + 4.36098i 0.573162 + 0.208614i
\(438\) 7.38120 4.56330i 0.352687 0.218043i
\(439\) 28.8182 + 5.08142i 1.37542 + 0.242523i 0.812004 0.583652i \(-0.198377\pi\)
0.563413 + 0.826175i \(0.309488\pi\)
\(440\) −1.21988 + 2.11290i −0.0581556 + 0.100728i
\(441\) 8.79717 19.0686i 0.418913 0.908026i
\(442\) 1.90474 + 3.29911i 0.0905992 + 0.156922i
\(443\) −5.20946 14.3129i −0.247509 0.680025i −0.999776 0.0211665i \(-0.993262\pi\)
0.752267 0.658858i \(-0.228960\pi\)
\(444\) 5.31472 + 13.3379i 0.252226 + 0.632988i
\(445\) −0.296036 + 0.248404i −0.0140334 + 0.0117755i
\(446\) 2.95710 + 16.7705i 0.140023 + 0.794108i
\(447\) 27.0139 + 21.3146i 1.27772 + 1.00815i
\(448\) −2.47182 + 0.943465i −0.116782 + 0.0445745i
\(449\) −10.2062 + 5.89254i −0.481659 + 0.278086i −0.721108 0.692823i \(-0.756367\pi\)
0.239449 + 0.970909i \(0.423033\pi\)
\(450\) 8.23847 5.44289i 0.388365 0.256580i
\(451\) 7.48129 4.31933i 0.352280 0.203389i
\(452\) −0.385078 1.05799i −0.0181126 0.0497639i
\(453\) 0.373481 + 12.3963i 0.0175477 + 0.582428i
\(454\) 21.7368 3.83278i 1.02016 0.179881i
\(455\) −5.22009 + 1.00441i −0.244721 + 0.0470874i
\(456\) −10.7032 + 2.22154i −0.501224 + 0.104033i
\(457\) 2.42398 + 2.03396i 0.113389 + 0.0951446i 0.697719 0.716371i \(-0.254198\pi\)
−0.584330 + 0.811516i \(0.698643\pi\)
\(458\) −13.7052 + 23.7381i −0.640403 + 1.10921i
\(459\) −23.1878 + 16.3433i −1.08231 + 0.762841i
\(460\) 5.03805 2.90872i 0.234900 0.135620i
\(461\) −4.76981 + 1.73607i −0.222152 + 0.0808567i −0.450698 0.892676i \(-0.648825\pi\)
0.228546 + 0.973533i \(0.426603\pi\)
\(462\) 2.62902 + 2.85733i 0.122313 + 0.132935i
\(463\) −18.4339 + 15.4679i −0.856696 + 0.718853i −0.961254 0.275666i \(-0.911102\pi\)
0.104558 + 0.994519i \(0.466657\pi\)
\(464\) −2.29419 2.73411i −0.106505 0.126928i
\(465\) −9.20747 + 0.277407i −0.426986 + 0.0128645i
\(466\) 7.85367 2.85850i 0.363814 0.132418i
\(467\) 24.1240 1.11633 0.558164 0.829731i \(-0.311506\pi\)
0.558164 + 0.829731i \(0.311506\pi\)
\(468\) 0.596230 2.00659i 0.0275607 0.0927547i
\(469\) 10.4207 + 17.4177i 0.481184 + 0.804277i
\(470\) −23.9335 4.22012i −1.10397 0.194659i
\(471\) −35.9440 + 14.3225i −1.65621 + 0.659948i
\(472\) 1.91692 + 2.28449i 0.0882332 + 0.105152i
\(473\) −3.83010 4.56454i −0.176108 0.209878i
\(474\) −12.0703 9.52378i −0.554409 0.437442i
\(475\) 20.4569 + 3.60710i 0.938627 + 0.165505i
\(476\) −14.4428 + 0.224692i −0.661986 + 0.0102987i
\(477\) 9.81246 13.2373i 0.449282 0.606094i
\(478\) −17.4584 −0.798528
\(479\) −7.75592 + 2.82292i −0.354377 + 0.128983i −0.513073 0.858345i \(-0.671493\pi\)
0.158696 + 0.987327i \(0.449271\pi\)
\(480\) −2.36249 + 4.39235i −0.107833 + 0.200482i
\(481\) −3.71795 4.43088i −0.169524 0.202031i
\(482\) −17.8949 + 15.0156i −0.815089 + 0.683941i
\(483\) −2.02231 9.03468i −0.0920182 0.411092i
\(484\) 9.66200 3.51668i 0.439182 0.159849i
\(485\) −28.3058 + 16.3424i −1.28530 + 0.742068i
\(486\) 15.2825 + 3.07355i 0.693226 + 0.139419i
\(487\) 4.98163 8.62844i 0.225739 0.390992i −0.730802 0.682590i \(-0.760854\pi\)
0.956541 + 0.291598i \(0.0941869\pi\)
\(488\) −0.887301 0.744534i −0.0401662 0.0337035i
\(489\) −12.0468 + 36.4810i −0.544775 + 1.64973i
\(490\) 6.30133 19.1460i 0.284665 0.864929i
\(491\) −23.6973 + 4.17848i −1.06945 + 0.188572i −0.680544 0.732707i \(-0.738257\pi\)
−0.388902 + 0.921279i \(0.627145\pi\)
\(492\) 15.0205 9.28617i 0.677176 0.418653i
\(493\) −6.66454 18.3107i −0.300156 0.824671i
\(494\) 3.81376 2.20187i 0.171589 0.0990670i
\(495\) 7.27154 + 0.834732i 0.326831 + 0.0375184i
\(496\) 1.59954 0.923494i 0.0718214 0.0414661i
\(497\) −11.0823 29.0350i −0.497111 1.30240i
\(498\) 4.66066 1.85713i 0.208849 0.0832198i
\(499\) −2.28678 12.9690i −0.102370 0.580572i −0.992238 0.124353i \(-0.960314\pi\)
0.889868 0.456219i \(-0.150797\pi\)
\(500\) −3.76892 + 3.16250i −0.168551 + 0.141431i
\(501\) −2.11974 + 2.68654i −0.0947031 + 0.120026i
\(502\) 8.67984 + 23.8477i 0.387400 + 1.06437i
\(503\) 11.4535 + 19.8381i 0.510688 + 0.884538i 0.999923 + 0.0123861i \(0.00394271\pi\)
−0.489235 + 0.872152i \(0.662724\pi\)
\(504\) 5.54773 + 5.67650i 0.247116 + 0.252851i
\(505\) −27.9850 + 48.4714i −1.24531 + 2.15695i
\(506\) 1.68580 + 0.297252i 0.0749429 + 0.0132145i
\(507\) −0.652690 21.6635i −0.0289870 0.962111i
\(508\) 16.0594 + 5.84516i 0.712522 + 0.259337i
\(509\) 13.4484 + 4.89480i 0.596088 + 0.216958i 0.622405 0.782695i \(-0.286156\pi\)
−0.0263171 + 0.999654i \(0.508378\pi\)
\(510\) −20.3220 + 18.1226i −0.899872 + 0.802481i
\(511\) −4.72693 12.3842i −0.209107 0.547847i
\(512\) 1.00000i 0.0441942i
\(513\) 18.8928 + 26.8050i 0.834140 + 1.18347i
\(514\) 21.1232 + 12.1955i 0.931705 + 0.537920i
\(515\) 12.8237 + 2.26116i 0.565080 + 0.0996388i
\(516\) −8.10698 9.09086i −0.356890 0.400203i
\(517\) −4.59668 5.47811i −0.202162 0.240927i
\(518\) 21.5368 4.14394i 0.946273 0.182074i
\(519\) −10.3555 5.56986i −0.454555 0.244490i
\(520\) 0.348894 1.97867i 0.0153000 0.0867706i
\(521\) 2.50639 + 4.34120i 0.109807 + 0.190192i 0.915692 0.401881i \(-0.131643\pi\)
−0.805885 + 0.592072i \(0.798310\pi\)
\(522\) −4.78574 + 9.57836i −0.209466 + 0.419233i
\(523\) −7.06308 4.07787i −0.308847 0.178313i 0.337563 0.941303i \(-0.390397\pi\)
−0.646410 + 0.762990i \(0.723731\pi\)
\(524\) 2.91454 16.5292i 0.127322 0.722082i
\(525\) −5.80042 13.9230i −0.253151 0.607648i
\(526\) 5.44397 + 1.98144i 0.237368 + 0.0863950i
\(527\) 9.93050 1.75102i 0.432579 0.0762754i
\(528\) −1.36331 + 0.543237i −0.0593306 + 0.0236414i
\(529\) 14.4923 + 12.1605i 0.630099 + 0.528716i
\(530\) 7.90778 13.6967i 0.343492 0.594946i
\(531\) 3.99873 8.00321i 0.173530 0.347310i
\(532\) 0.259743 + 16.6959i 0.0112613 + 0.723858i
\(533\) −4.57286 + 5.44973i −0.198073 + 0.236054i
\(534\) −0.232349 + 0.00700034i −0.0100547 + 0.000302934i
\(535\) −17.4183 + 47.8565i −0.753061 + 2.06902i
\(536\) −7.55501 + 1.33215i −0.326327 + 0.0575402i
\(537\) 26.2950 23.4491i 1.13471 1.01191i
\(538\) 5.67773 + 15.5994i 0.244784 + 0.672539i
\(539\) 5.04172 3.12388i 0.217162 0.134555i
\(540\) 14.9092 + 1.25795i 0.641590 + 0.0541335i
\(541\) −1.98352 3.43557i −0.0852784 0.147707i 0.820231 0.572032i \(-0.193845\pi\)
−0.905510 + 0.424325i \(0.860511\pi\)
\(542\) 2.49716 14.1621i 0.107262 0.608315i
\(543\) 0.750907 + 3.61782i 0.0322245 + 0.155255i
\(544\) 1.86727 5.13029i 0.0800586 0.219959i
\(545\) 3.43729 + 19.4938i 0.147237 + 0.835024i
\(546\) −2.83928 1.47068i −0.121510 0.0629391i
\(547\) 19.8622 + 16.6664i 0.849247 + 0.712603i 0.959624 0.281287i \(-0.0907613\pi\)
−0.110377 + 0.993890i \(0.535206\pi\)
\(548\) 3.77744i 0.161364i
\(549\) −0.989740 + 3.33093i −0.0422411 + 0.142161i
\(550\) 2.78876 0.118913
\(551\) −21.1671 + 7.70419i −0.901748 + 0.328210i
\(552\) 3.46286 + 0.503590i 0.147389 + 0.0214342i
\(553\) −17.7543 + 15.3745i −0.754988 + 0.653790i
\(554\) −9.34964 + 25.6879i −0.397228 + 1.09137i
\(555\) 25.6088 32.4563i 1.08703 1.37769i
\(556\) 14.8502 17.6977i 0.629787 0.750551i
\(557\) 27.9530i 1.18440i 0.805789 + 0.592202i \(0.201741\pi\)
−0.805789 + 0.592202i \(0.798259\pi\)
\(558\) −4.45134 3.29966i −0.188440 0.139686i
\(559\) 4.24960 + 2.45351i 0.179739 + 0.103772i
\(560\) 5.91148 + 4.80562i 0.249805 + 0.203074i
\(561\) −8.00856 + 0.241286i −0.338122 + 0.0101871i
\(562\) 0.0254917 0.0213901i 0.00107530 0.000902287i
\(563\) 4.10739 + 23.2942i 0.173106 + 0.981732i 0.940307 + 0.340326i \(0.110537\pi\)
−0.767202 + 0.641406i \(0.778351\pi\)
\(564\) −9.72955 10.9103i −0.409688 0.459408i
\(565\) −2.08390 + 2.48350i −0.0876705 + 0.104482i
\(566\) −2.36694 −0.0994900
\(567\) 8.99930 22.0457i 0.377935 0.925832i
\(568\) 11.7464 0.492870
\(569\) −1.27809 + 1.52317i −0.0535805 + 0.0638547i −0.792169 0.610302i \(-0.791048\pi\)
0.738589 + 0.674156i \(0.235493\pi\)
\(570\) 20.9497 + 23.4922i 0.877485 + 0.983978i
\(571\) 2.31635 + 13.1367i 0.0969364 + 0.549754i 0.994137 + 0.108130i \(0.0344863\pi\)
−0.897200 + 0.441624i \(0.854403\pi\)
\(572\) 0.452896 0.380025i 0.0189365 0.0158896i
\(573\) 12.2144 0.368001i 0.510263 0.0153735i
\(574\) −9.61915 25.2015i −0.401496 1.05189i
\(575\) −5.75871 3.32479i −0.240155 0.138653i
\(576\) −2.75219 + 1.19391i −0.114675 + 0.0497464i
\(577\) 26.1871i 1.09019i 0.838376 + 0.545093i \(0.183505\pi\)
−0.838376 + 0.545093i \(0.816495\pi\)
\(578\) 8.23189 9.81039i 0.342402 0.408058i
\(579\) 7.72177 9.78648i 0.320906 0.406712i
\(580\) −3.51501 + 9.65742i −0.145953 + 0.401003i
\(581\) −1.44802 7.52561i −0.0600739 0.312215i
\(582\) −19.4557 2.82937i −0.806467 0.117281i
\(583\) 4.37313 1.59169i 0.181117 0.0659211i
\(584\) 5.01018 0.207323
\(585\) −5.86224 + 1.40214i −0.242374 + 0.0579716i
\(586\) 3.70857i 0.153200i
\(587\) −8.84295 7.42011i −0.364988 0.306261i 0.441787 0.897120i \(-0.354345\pi\)
−0.806775 + 0.590859i \(0.798789\pi\)
\(588\) 10.1094 6.69335i 0.416903 0.276029i
\(589\) −2.02417 11.4796i −0.0834045 0.473010i
\(590\) 2.93698 8.06927i 0.120913 0.332207i
\(591\) −4.61194 22.2200i −0.189710 0.914008i
\(592\) −1.43945 + 8.16352i −0.0591610 + 0.335519i
\(593\) 16.8475 + 29.1808i 0.691845 + 1.19831i 0.971233 + 0.238133i \(0.0765353\pi\)
−0.279387 + 0.960178i \(0.590131\pi\)
\(594\) 3.12277 + 3.10352i 0.128129 + 0.127339i
\(595\) 21.3542 + 35.6925i 0.875436 + 1.46325i
\(596\) 6.79484 + 18.6687i 0.278327 + 0.764698i
\(597\) −12.7065 + 11.3313i −0.520041 + 0.463758i
\(598\) −1.38829 + 0.244793i −0.0567714 + 0.0100103i
\(599\) 3.25799 8.95124i 0.133118 0.365738i −0.855168 0.518350i \(-0.826546\pi\)
0.988286 + 0.152612i \(0.0487686\pi\)
\(600\) 5.69822 0.171679i 0.232629 0.00700876i
\(601\) 14.6784 17.4931i 0.598746 0.713557i −0.378516 0.925595i \(-0.623565\pi\)
0.977262 + 0.212037i \(0.0680099\pi\)
\(602\) −15.9667 + 9.55261i −0.650756 + 0.389335i
\(603\) 12.6864 + 19.2024i 0.516629 + 0.781981i
\(604\) −3.58012 + 6.20095i −0.145673 + 0.252313i
\(605\) −22.6803 19.0310i −0.922084 0.773720i
\(606\) −31.2754 + 12.4622i −1.27047 + 0.506244i
\(607\) 6.82088 1.20270i 0.276851 0.0488163i −0.0334988 0.999439i \(-0.510665\pi\)
0.310350 + 0.950622i \(0.399554\pi\)
\(608\) −5.93060 2.15856i −0.240518 0.0875413i
\(609\) 12.9962 + 9.93027i 0.526634 + 0.402395i
\(610\) −0.579162 + 3.28459i −0.0234496 + 0.132989i
\(611\) 5.10014 + 2.94457i 0.206329 + 0.119124i
\(612\) −16.3489 + 0.986032i −0.660865 + 0.0398580i
\(613\) −3.92757 6.80275i −0.158633 0.274760i 0.775743 0.631049i \(-0.217375\pi\)
−0.934376 + 0.356289i \(0.884042\pi\)
\(614\) 0.955759 5.42038i 0.0385713 0.218749i
\(615\) −44.7824 24.0869i −1.80580 0.971279i
\(616\) 0.423567 + 2.20135i 0.0170660 + 0.0886951i
\(617\) −16.2850 19.4077i −0.655609 0.781325i 0.331139 0.943582i \(-0.392567\pi\)
−0.986749 + 0.162257i \(0.948123\pi\)
\(618\) 5.21315 + 5.84583i 0.209704 + 0.235154i
\(619\) 9.87406 + 1.74106i 0.396872 + 0.0699792i 0.368522 0.929619i \(-0.379864\pi\)
0.0283495 + 0.999598i \(0.490975\pi\)
\(620\) −4.60582 2.65917i −0.184974 0.106795i
\(621\) −2.74839 10.1317i −0.110289 0.406572i
\(622\) 9.75575i 0.391170i
\(623\) −0.0562120 + 0.350603i −0.00225209 + 0.0140466i
\(624\) 0.902001 0.804380i 0.0361089 0.0322010i
\(625\) 28.7769 + 10.4739i 1.15108 + 0.418958i
\(626\) −13.1385 4.78200i −0.525118 0.191127i
\(627\) 0.278926 + 9.25788i 0.0111392 + 0.369724i
\(628\) −21.9997 3.87914i −0.877884 0.154795i
\(629\) −22.6283 + 39.1934i −0.902250 + 1.56274i
\(630\) 6.16819 22.0070i 0.245747 0.876781i
\(631\) 11.4911 + 19.9031i 0.457453 + 0.792331i 0.998826 0.0484514i \(-0.0154286\pi\)
−0.541373 + 0.840783i \(0.682095\pi\)
\(632\) −3.03606 8.34151i −0.120768 0.331807i
\(633\) 4.83248 6.12463i 0.192074 0.243432i
\(634\) 5.58841 4.68923i 0.221944 0.186233i
\(635\) −8.54531 48.4628i −0.339110 1.92319i
\(636\) 8.83756 3.52149i 0.350432 0.139636i
\(637\) −3.02170 + 3.83749i −0.119724 + 0.152047i
\(638\) −2.61896 + 1.51205i −0.103685 + 0.0598628i
\(639\) −14.0242 32.3285i −0.554790 1.27889i
\(640\) −2.49370 + 1.43974i −0.0985720 + 0.0569106i
\(641\) 0.630548 + 1.73242i 0.0249052 + 0.0684264i 0.951522 0.307580i \(-0.0995192\pi\)
−0.926617 + 0.376007i \(0.877297\pi\)
\(642\) −26.0565 + 16.1090i −1.02837 + 0.635770i
\(643\) −23.9616 + 4.22507i −0.944952 + 0.166621i −0.624835 0.780757i \(-0.714834\pi\)
−0.320118 + 0.947378i \(0.603722\pi\)
\(644\) 1.74983 5.05072i 0.0689529 0.199026i
\(645\) −10.9979 + 33.3048i −0.433043 + 1.31137i
\(646\) −26.3951 22.1481i −1.03850 0.871405i
\(647\) 3.90792 6.76872i 0.153636 0.266106i −0.778925 0.627117i \(-0.784235\pi\)
0.932562 + 0.361011i \(0.117568\pi\)
\(648\) 6.57177 + 6.14914i 0.258163 + 0.241561i
\(649\) 2.18827 1.26340i 0.0858972 0.0495928i
\(650\) −2.15810 + 0.785483i −0.0846475 + 0.0308092i
\(651\) −6.22859 + 5.73090i −0.244118 + 0.224612i
\(652\) −16.9916 + 14.2577i −0.665444 + 0.558374i
\(653\) −28.9811 34.5384i −1.13412 1.35159i −0.927788 0.373108i \(-0.878292\pi\)
−0.206331 0.978482i \(-0.566153\pi\)
\(654\) −5.64015 + 10.4862i −0.220547 + 0.410042i
\(655\) −45.4150 + 16.5297i −1.77451 + 0.645869i
\(656\) 10.1956 0.398070
\(657\) −5.98173 13.7890i −0.233369 0.537960i
\(658\) −19.1624 + 11.4645i −0.747028 + 0.446933i
\(659\) 3.07698 + 0.542555i 0.119862 + 0.0211349i 0.233257 0.972415i \(-0.425062\pi\)
−0.113395 + 0.993550i \(0.536173\pi\)
\(660\) 3.31748 + 2.61757i 0.129133 + 0.101889i
\(661\) 27.0429 + 32.2285i 1.05185 + 1.25354i 0.966357 + 0.257204i \(0.0828013\pi\)
0.0854905 + 0.996339i \(0.472754\pi\)
\(662\) 18.1534 + 21.6344i 0.705551 + 0.840843i
\(663\) 6.12952 2.44242i 0.238051 0.0948557i
\(664\) 2.85258 + 0.502987i 0.110702 + 0.0195197i
\(665\) 41.2605 24.6854i 1.60001 0.957258i
\(666\) 24.1862 5.78491i 0.937195 0.224161i
\(667\) 7.21077 0.279202
\(668\) −1.85660 + 0.675747i −0.0718340 + 0.0261454i
\(669\) 29.4821 0.888253i 1.13985 0.0343419i
\(670\) 14.1992 + 16.9219i 0.548563 + 0.653752i
\(671\) −0.751806 + 0.630840i −0.0290232 + 0.0243533i
\(672\) 1.00099 + 4.47192i 0.0386139 + 0.172508i
\(673\) −20.9025 + 7.60789i −0.805733 + 0.293263i −0.711860 0.702322i \(-0.752147\pi\)
−0.0938727 + 0.995584i \(0.529925\pi\)
\(674\) −0.255525 + 0.147527i −0.00984246 + 0.00568254i
\(675\) −7.27568 15.4776i −0.280041 0.595734i
\(676\) 6.25656 10.8367i 0.240637 0.416795i
\(677\) −5.48795 4.60494i −0.210919 0.176982i 0.531208 0.847242i \(-0.321738\pi\)
−0.742127 + 0.670259i \(0.766183\pi\)
\(678\) −1.90941 + 0.396314i −0.0733305 + 0.0152203i
\(679\) −9.83124 + 28.3770i −0.377288 + 1.08901i
\(680\) −15.4818 + 2.72985i −0.593698 + 0.104685i
\(681\) −1.15129 38.2127i −0.0441176 1.46431i
\(682\) −0.535242 1.47057i −0.0204955 0.0563109i
\(683\) 8.19139 4.72930i 0.313435 0.180962i −0.335028 0.942208i \(-0.608746\pi\)
0.648463 + 0.761247i \(0.275412\pi\)
\(684\) 1.13985 + 18.8993i 0.0435833 + 0.722633i
\(685\) −9.41977 + 5.43851i −0.359911 + 0.207795i
\(686\) −7.13929 17.0889i −0.272579 0.652457i
\(687\) 37.2714 + 29.4081i 1.42199 + 1.12199i
\(688\) −1.22118 6.92563i −0.0465569 0.264037i
\(689\) −2.93586 + 2.46348i −0.111847 + 0.0938511i
\(690\) −3.72981 9.36036i −0.141991 0.356343i
\(691\) 0.00588579 + 0.0161711i 0.000223906 + 0.000615177i 0.939805 0.341713i \(-0.111007\pi\)
−0.939581 + 0.342328i \(0.888785\pi\)
\(692\) −3.39435 5.87918i −0.129034 0.223493i
\(693\) 5.55285 3.79397i 0.210935 0.144121i
\(694\) 2.58789 4.48235i 0.0982349 0.170148i
\(695\) −65.5131 11.5517i −2.48505 0.438182i
\(696\) −5.25818 + 3.25078i −0.199311 + 0.123221i
\(697\) 52.3061 + 19.0379i 1.98124 + 0.721111i
\(698\) −16.6472 6.05907i −0.630104 0.229339i
\(699\) −2.94190 14.1739i −0.111273 0.536105i
\(700\) 1.37857 8.59831i 0.0521049 0.324986i
\(701\) 18.0981i 0.683556i −0.939781 0.341778i \(-0.888971\pi\)
0.939781 0.341778i \(-0.111029\pi\)
\(702\) −3.29072 1.52212i −0.124200 0.0574487i
\(703\) 45.3075 + 26.1583i 1.70880 + 0.986578i
\(704\) −0.834423 0.147131i −0.0314485 0.00554522i
\(705\) −13.1991 + 39.9706i −0.497107 + 1.50538i
\(706\) −15.9273 18.9814i −0.599431 0.714374i
\(707\) 9.71693 + 50.5006i 0.365443 + 1.89927i
\(708\) 4.39348 2.71620i 0.165117 0.102081i
\(709\) 2.47712 14.0484i 0.0930301 0.527600i −0.902303 0.431102i \(-0.858125\pi\)
0.995333 0.0964978i \(-0.0307641\pi\)
\(710\) −16.9118 29.2920i −0.634687 1.09931i
\(711\) −19.3326 + 18.3149i −0.725031 + 0.686861i
\(712\) −0.116227 0.0671038i −0.00435580 0.00251482i
\(713\) −0.647968 + 3.67481i −0.0242666 + 0.137623i
\(714\) −3.21494 + 24.8113i −0.120316 + 0.928540i
\(715\) −1.59972 0.582250i −0.0598261 0.0217749i
\(716\) 20.0321 3.53221i 0.748636 0.132005i
\(717\) −4.35173 + 29.9241i −0.162518 + 1.11753i
\(718\) −4.48467 3.76308i −0.167366 0.140437i
\(719\) 8.91553 15.4422i 0.332493 0.575895i −0.650507 0.759500i \(-0.725443\pi\)
0.983000 + 0.183605i \(0.0587768\pi\)
\(720\) 6.93969 + 5.14421i 0.258627 + 0.191713i
\(721\) 10.2673 6.14276i 0.382376 0.228768i
\(722\) −13.3902 + 15.9578i −0.498331 + 0.593887i
\(723\) 21.2765 + 34.4150i 0.791281 + 1.27991i
\(724\) −0.729620 + 2.00461i −0.0271161 + 0.0745009i
\(725\) 11.5688 2.03990i 0.429655 0.0757598i
\(726\) −3.61929 17.4375i −0.134324 0.647165i
\(727\) −11.8350 32.5165i −0.438937 1.20597i −0.940184 0.340666i \(-0.889348\pi\)
0.501247 0.865304i \(-0.332875\pi\)
\(728\) −0.947816 1.58423i −0.0351284 0.0587155i
\(729\) 9.07748 25.4283i 0.336203 0.941790i
\(730\) −7.21334 12.4939i −0.266978 0.462419i
\(731\) 6.66705 37.8107i 0.246590 1.39848i
\(732\) −1.49732 + 1.33527i −0.0553425 + 0.0493529i
\(733\) 18.0919 49.7070i 0.668238 1.83597i 0.133303 0.991075i \(-0.457442\pi\)
0.534935 0.844893i \(-0.320336\pi\)
\(734\) −2.45644 13.9311i −0.0906687 0.514208i
\(735\) −31.2460 15.5730i −1.15253 0.574419i
\(736\) 1.54765 + 1.29863i 0.0570472 + 0.0478683i
\(737\) 6.50008i 0.239433i
\(738\) −12.1726 28.0602i −0.448081 1.03291i
\(739\) 34.3648 1.26413 0.632065 0.774916i \(-0.282208\pi\)
0.632065 + 0.774916i \(0.282208\pi\)
\(740\) 22.4298 8.16377i 0.824535 0.300106i
\(741\) −2.82343 7.08571i −0.103721 0.260300i
\(742\) −2.74574 14.2701i −0.100799 0.523872i
\(743\) 17.7261 48.7022i 0.650309 1.78671i 0.0337120 0.999432i \(-0.489267\pi\)
0.616597 0.787279i \(-0.288511\pi\)
\(744\) −1.18418 2.97183i −0.0434142 0.108953i
\(745\) 36.7712 43.8222i 1.34719 1.60552i
\(746\) 30.1599i 1.10423i
\(747\) −2.02142 8.45138i −0.0739600 0.309220i
\(748\) −4.00610 2.31292i −0.146477 0.0845688i
\(749\) 16.6866 + 43.7178i 0.609715 + 1.59741i
\(750\) 4.48114 + 7.24831i 0.163628 + 0.264671i
\(751\) −18.3120 + 15.3656i −0.668216 + 0.560700i −0.912537 0.408995i \(-0.865879\pi\)
0.244321 + 0.969694i \(0.421435\pi\)
\(752\) −1.46559 8.31176i −0.0534445 0.303099i
\(753\) 43.0390 8.93309i 1.56843 0.325540i
\(754\) 1.60081 1.90777i 0.0582981 0.0694769i
\(755\) 20.6177 0.750355
\(756\) 11.1125 8.09399i 0.404157 0.294376i
\(757\) 15.6345 0.568244 0.284122 0.958788i \(-0.408298\pi\)
0.284122 + 0.958788i \(0.408298\pi\)
\(758\) −12.7281 + 15.1688i −0.462306 + 0.550955i
\(759\) 0.929703 2.81540i 0.0337461 0.102193i
\(760\) 3.15570 + 17.8969i 0.114469 + 0.649188i
\(761\) −34.5201 + 28.9658i −1.25135 + 1.05001i −0.254803 + 0.966993i \(0.582011\pi\)
−0.996548 + 0.0830152i \(0.973545\pi\)
\(762\) 14.0217 26.0692i 0.507954 0.944389i
\(763\) 14.1129 + 11.4728i 0.510921 + 0.415343i
\(764\) 6.10996 + 3.52759i 0.221051 + 0.127624i
\(765\) 25.9970 + 39.3496i 0.939922 + 1.42269i
\(766\) 17.6207i 0.636661i
\(767\) −1.33756 + 1.59404i −0.0482965 + 0.0575575i
\(768\) −1.71402 0.249263i −0.0618494 0.00899450i
\(769\) −5.42624 + 14.9085i −0.195675 + 0.537613i −0.998263 0.0589215i \(-0.981234\pi\)
0.802588 + 0.596534i \(0.203456\pi\)
\(770\) 4.87968 4.22562i 0.175852 0.152281i
\(771\) 26.1686 33.1658i 0.942438 1.19444i
\(772\) 6.76320 2.46160i 0.243413 0.0885950i
\(773\) 22.1015 0.794935 0.397468 0.917616i \(-0.369889\pi\)
0.397468 + 0.917616i \(0.369889\pi\)
\(774\) −17.6027 + 11.6295i −0.632716 + 0.418014i
\(775\) 6.07910i 0.218368i
\(776\) −8.69532 7.29624i −0.312144 0.261920i
\(777\) −1.73447 37.9475i −0.0622239 1.36136i
\(778\) −0.160910 0.912563i −0.00576889 0.0327170i
\(779\) 22.0077 60.4658i 0.788509 2.16641i
\(780\) −3.30452 1.09122i −0.118321 0.0390720i
\(781\) 1.72827 9.80150i 0.0618423 0.350725i
\(782\) 5.51499 + 9.55225i 0.197216 + 0.341588i
\(783\) 15.2246 + 10.5904i 0.544083 + 0.378469i
\(784\) 6.99661 0.217750i 0.249879 0.00777678i
\(785\) 22.0004 + 60.4456i 0.785227 + 2.15739i
\(786\) −27.6049 9.11571i −0.984635 0.325147i
\(787\) −38.1905 + 6.73402i −1.36134 + 0.240042i −0.806166 0.591689i \(-0.798461\pi\)
−0.555179 + 0.831731i \(0.687350\pi\)
\(788\) 4.48119 12.3120i 0.159636 0.438596i
\(789\) 4.75322 8.83718i 0.169219 0.314612i
\(790\) −16.4301 + 19.5806i −0.584555 + 0.696646i
\(791\) 0.0463371 + 2.97848i 0.00164756 + 0.105902i
\(792\) 0.591296 + 2.47216i 0.0210108 + 0.0878443i
\(793\) 0.404107 0.699934i 0.0143503 0.0248554i
\(794\) −20.1189 16.8818i −0.713995 0.599113i
\(795\) −21.5053 16.9682i −0.762714 0.601799i
\(796\) −9.68008 + 1.70686i −0.343101 + 0.0604980i
\(797\) −33.0538 12.0306i −1.17082 0.426145i −0.317872 0.948134i \(-0.602968\pi\)
−0.852952 + 0.521989i \(0.825190\pi\)
\(798\) 28.6818 + 3.71646i 1.01533 + 0.131561i
\(799\) 8.00143 45.3783i 0.283070 1.60537i
\(800\) 2.85040 + 1.64568i 0.100777 + 0.0581836i
\(801\) −0.0459173 + 0.399996i −0.00162241 + 0.0141332i
\(802\) 0.0534220 + 0.0925296i 0.00188640 + 0.00326733i
\(803\) 0.737155 4.18061i 0.0260136 0.147531i
\(804\) 0.400152 + 13.2815i 0.0141123 + 0.468402i
\(805\) −15.1143 + 2.90817i −0.532708 + 0.102499i
\(806\) 0.828402 + 0.987251i 0.0291792 + 0.0347744i
\(807\) 28.1530 5.84339i 0.991033 0.205697i
\(808\) −19.1423 3.37530i −0.673422 0.118743i
\(809\) 17.9127 + 10.3419i 0.629778 + 0.363602i 0.780666 0.624948i \(-0.214880\pi\)
−0.150888 + 0.988551i \(0.548213\pi\)
\(810\) 5.87246 25.2411i 0.206337 0.886883i
\(811\) 11.0037i 0.386391i −0.981160 0.193196i \(-0.938115\pi\)
0.981160 0.193196i \(-0.0618852\pi\)
\(812\) 3.36735 + 8.82224i 0.118171 + 0.309600i
\(813\) −23.6517 7.81029i −0.829502 0.273919i
\(814\) 6.60005 + 2.40222i 0.231332 + 0.0841978i
\(815\) 60.0178 + 21.8447i 2.10233 + 0.765186i
\(816\) −8.32798 4.47933i −0.291538 0.156808i
\(817\) −43.7091 7.70710i −1.52919 0.269637i
\(818\) −15.6933 + 27.1815i −0.548702 + 0.950380i
\(819\) −3.22850 + 4.50001i −0.112813 + 0.157243i
\(820\) −14.6789 25.4246i −0.512610 0.887866i
\(821\) 10.3052 + 28.3133i 0.359654 + 0.988143i 0.979149 + 0.203142i \(0.0651152\pi\)
−0.619495 + 0.785001i \(0.712663\pi\)
\(822\) −6.47460 0.941575i −0.225828 0.0328412i
\(823\) 7.55659 6.34073i 0.263406 0.221024i −0.501513 0.865150i \(-0.667223\pi\)
0.764919 + 0.644126i \(0.222779\pi\)
\(824\) 0.785271 + 4.45349i 0.0273562 + 0.155145i
\(825\) 0.695134 4.77999i 0.0242014 0.166418i
\(826\) −2.81359 7.37143i −0.0978974 0.256485i
\(827\) −28.6798 + 16.5583i −0.997295 + 0.575788i −0.907447 0.420167i \(-0.861971\pi\)
−0.0898479 + 0.995956i \(0.528638\pi\)
\(828\) 1.72633 5.80989i 0.0599940 0.201908i
\(829\) −11.8766 + 6.85696i −0.412492 + 0.238152i −0.691860 0.722032i \(-0.743208\pi\)
0.279368 + 0.960184i \(0.409875\pi\)
\(830\) −2.85267 7.83764i −0.0990176 0.272049i
\(831\) 41.6991 + 22.4285i 1.44653 + 0.778037i
\(832\) 0.687165 0.121166i 0.0238232 0.00420067i
\(833\) 36.3012 + 11.9475i 1.25776 + 0.413955i
\(834\) −26.6327 29.8649i −0.922214 1.03414i
\(835\) 4.35812 + 3.65690i 0.150819 + 0.126552i
\(836\) −2.67373 + 4.63104i −0.0924730 + 0.160168i
\(837\) −6.76525 + 6.80721i −0.233841 + 0.235292i
\(838\) 26.0002 15.0112i 0.898161 0.518553i
\(839\) 11.3561 4.13327i 0.392055 0.142696i −0.138468 0.990367i \(-0.544218\pi\)
0.530523 + 0.847671i \(0.321996\pi\)
\(840\) 9.71044 8.93453i 0.335042 0.308271i
\(841\) 12.4569 10.4526i 0.429548 0.360433i
\(842\) 13.4385 + 16.0153i 0.463120 + 0.551925i
\(843\) −0.0303089 0.0490251i −0.00104390 0.00168852i
\(844\) 4.23258 1.54053i 0.145691 0.0530274i
\(845\) −36.0312 −1.23951
\(846\) −21.1258 + 13.9571i −0.726319 + 0.479855i
\(847\) −27.2006 + 0.423168i −0.934622 + 0.0145402i
\(848\) 5.40908 + 0.953766i 0.185749 + 0.0327525i
\(849\) −0.589991 + 4.05699i −0.0202485 + 0.139236i
\(850\) 11.5504 + 13.7653i 0.396177 + 0.472145i
\(851\) −10.7650 12.8292i −0.369018 0.439779i
\(852\) 2.92795 20.1336i 0.100310 0.689767i
\(853\) 5.06495 + 0.893087i 0.173421 + 0.0305787i 0.259684 0.965694i \(-0.416382\pi\)
−0.0862635 + 0.996272i \(0.527493\pi\)
\(854\) 1.57337 + 2.62982i 0.0538396 + 0.0899905i
\(855\) 45.4880 30.0524i 1.55566 1.02777i
\(856\) −17.6865 −0.604513
\(857\) 10.1638 3.69934i 0.347190 0.126367i −0.162538 0.986702i \(-0.551968\pi\)
0.509729 + 0.860335i \(0.329746\pi\)
\(858\) −0.538481 0.871000i −0.0183834 0.0297354i
\(859\) −33.0129 39.3432i −1.12638 1.34237i −0.932425 0.361364i \(-0.882311\pi\)
−0.193960 0.981009i \(-0.562133\pi\)
\(860\) −15.5122 + 13.0163i −0.528963 + 0.443853i
\(861\) −45.5937 + 10.2056i −1.55383 + 0.347806i
\(862\) 12.0878 4.39959i 0.411711 0.149851i
\(863\) −49.3380 + 28.4853i −1.67949 + 0.969651i −0.717497 + 0.696562i \(0.754712\pi\)
−0.961989 + 0.273090i \(0.911954\pi\)
\(864\) 1.36037 + 5.01492i 0.0462809 + 0.170611i
\(865\) −9.77393 + 16.9289i −0.332324 + 0.575601i
\(866\) 7.14406 + 5.99458i 0.242765 + 0.203704i
\(867\) −14.7633 16.5550i −0.501388 0.562237i
\(868\) −4.79865 + 0.923318i −0.162877 + 0.0313394i
\(869\) −7.40705 + 1.30606i −0.251267 + 0.0443051i
\(870\) 15.6769 + 8.43205i 0.531495 + 0.285873i
\(871\) −1.83082 5.03013i −0.0620349 0.170439i
\(872\) −5.95338 + 3.43719i −0.201607 + 0.116398i
\(873\) −9.69920 + 32.6423i −0.328268 + 1.10477i
\(874\) 11.0424 6.37532i 0.373514 0.215648i
\(875\) 12.1613 4.64183i 0.411127 0.156922i
\(876\) 1.24885 8.58756i 0.0421948 0.290147i
\(877\) −7.63595 43.3056i −0.257848 1.46233i −0.788656 0.614834i \(-0.789223\pi\)
0.530809 0.847492i \(-0.321888\pi\)
\(878\) 22.4166 18.8097i 0.756522 0.634798i
\(879\) −6.35657 0.924410i −0.214402 0.0311796i
\(880\) 0.834449 + 2.29263i 0.0281293 + 0.0772845i
\(881\) −5.52087 9.56242i −0.186003 0.322166i 0.757911 0.652358i \(-0.226220\pi\)
−0.943914 + 0.330192i \(0.892887\pi\)
\(882\) −8.95265 18.9961i −0.301451 0.639630i
\(883\) 12.7525 22.0880i 0.429156 0.743320i −0.567643 0.823275i \(-0.692144\pi\)
0.996798 + 0.0799555i \(0.0254778\pi\)
\(884\) 3.75161 + 0.661509i 0.126180 + 0.0222490i
\(885\) −13.0988 7.04541i −0.440312 0.236829i
\(886\) −14.3129 5.20946i −0.480850 0.175015i
\(887\) −33.0451 12.0274i −1.10955 0.403842i −0.278720 0.960373i \(-0.589910\pi\)
−0.830827 + 0.556531i \(0.812132\pi\)
\(888\) 13.6336 + 4.50211i 0.457515 + 0.151081i
\(889\) −35.0855 28.5221i −1.17673 0.956599i
\(890\) 0.386447i 0.0129537i
\(891\) 6.09790 4.57891i 0.204287 0.153399i
\(892\) 14.7478 + 8.51462i 0.493791 + 0.285091i
\(893\) −52.4573 9.24963i −1.75542 0.309527i
\(894\) 33.6922 6.99309i 1.12684 0.233884i
\(895\) −37.6492 44.8686i −1.25848 1.49979i
\(896\) −0.866117 + 2.49997i −0.0289349 + 0.0835181i
\(897\) 0.0735310 + 2.44058i 0.00245513 + 0.0814885i
\(898\) −2.04646 + 11.6060i −0.0682911 + 0.387298i
\(899\) −3.29607 5.70896i −0.109930 0.190404i
\(900\) 1.12609 9.80966i 0.0375365 0.326989i
\(901\) 25.9692 + 14.9933i 0.865159 + 0.499500i
\(902\) 1.50009 8.50741i 0.0499474 0.283266i
\(903\) 12.3934 + 29.7484i 0.412428 + 0.989966i
\(904\) −1.05799 0.385078i −0.0351884 0.0128075i
\(905\) 6.04936 1.06666i 0.201087 0.0354571i
\(906\) 9.73616 + 7.68207i 0.323462 + 0.255220i
\(907\) 18.6551 + 15.6535i 0.619432 + 0.519766i 0.897625 0.440760i \(-0.145291\pi\)
−0.278193 + 0.960525i \(0.589735\pi\)
\(908\) 11.0361 19.1150i 0.366244 0.634354i
\(909\) 13.5648 + 56.7130i 0.449914 + 1.88105i
\(910\) −2.58599 + 4.64444i −0.0857246 + 0.153962i
\(911\) −7.04092 + 8.39104i −0.233276 + 0.278008i −0.869965 0.493113i \(-0.835859\pi\)
0.636689 + 0.771120i \(0.280303\pi\)
\(912\) −5.17810 + 9.62712i −0.171464 + 0.318786i
\(913\) 0.839409 2.30626i 0.0277804 0.0763260i
\(914\) 3.11621 0.549471i 0.103075 0.0181749i
\(915\) 5.48549 + 1.81142i 0.181345 + 0.0598838i
\(916\) 9.37492 + 25.7574i 0.309756 + 0.851048i
\(917\) −21.6025 + 38.7982i −0.713377 + 1.28123i
\(918\) −2.38510 + 28.2681i −0.0787200 + 0.932988i
\(919\) −4.78929 8.29529i −0.157984 0.273637i 0.776157 0.630539i \(-0.217166\pi\)
−0.934142 + 0.356903i \(0.883833\pi\)
\(920\) 1.01019 5.72906i 0.0333049 0.188882i
\(921\) −9.05241 2.98929i −0.298287 0.0985005i
\(922\) −1.73607 + 4.76981i −0.0571744 + 0.157085i
\(923\) 1.42327 + 8.07174i 0.0468474 + 0.265685i
\(924\) 3.87875 0.177287i 0.127601 0.00583231i
\(925\) −20.9004 17.5376i −0.687202 0.576631i
\(926\) 24.0637i 0.790784i
\(927\) 11.3193 7.47830i 0.371775 0.245620i
\(928\) −3.56913 −0.117162
\(929\) 11.0891 4.03612i 0.363823 0.132421i −0.153639 0.988127i \(-0.549099\pi\)
0.517462 + 0.855706i \(0.326877\pi\)
\(930\) −5.70594 + 7.23165i −0.187105 + 0.237135i
\(931\) 13.8112 41.9641i 0.452645 1.37532i
\(932\) 2.85850 7.85367i 0.0936334 0.257256i
\(933\) −16.7216 2.43175i −0.547439 0.0796119i
\(934\) 15.5066 18.4801i 0.507393 0.604687i
\(935\) 13.3200i 0.435610i
\(936\) −1.15389 1.74655i −0.0377160 0.0570878i
\(937\) −7.70004 4.44562i −0.251549 0.145232i 0.368924 0.929459i \(-0.379726\pi\)
−0.620473 + 0.784227i \(0.713060\pi\)
\(938\) 20.0411 + 3.21318i 0.654364 + 0.104914i
\(939\) −11.4714 + 21.3276i −0.374355 + 0.696000i
\(940\) −18.6169 + 15.6215i −0.607218 + 0.509516i
\(941\) −4.00494 22.7131i −0.130557 0.740427i −0.977851 0.209302i \(-0.932881\pi\)
0.847294 0.531124i \(-0.178230\pi\)
\(942\) −12.1327 + 36.7411i −0.395303 + 1.19709i
\(943\) −13.2403 + 15.7792i −0.431163 + 0.513841i
\(944\) 2.98219 0.0970621
\(945\) −36.1830 16.0579i −1.17703 0.522365i
\(946\) −5.95858 −0.193730
\(947\) 10.1781 12.1298i 0.330744 0.394166i −0.574886 0.818233i \(-0.694954\pi\)
0.905631 + 0.424068i \(0.139398\pi\)
\(948\) −15.0543 + 3.12464i −0.488941 + 0.101484i
\(949\) 0.607063 + 3.44282i 0.0197061 + 0.111759i
\(950\) 15.9126 13.3523i 0.516274 0.433205i
\(951\) −6.64446 10.7475i −0.215461 0.348512i
\(952\) −9.11155 + 11.2083i −0.295307 + 0.363262i
\(953\) 33.6913 + 19.4517i 1.09137 + 0.630101i 0.933940 0.357429i \(-0.116347\pi\)
0.157427 + 0.987531i \(0.449680\pi\)
\(954\) −3.83303 16.0255i −0.124099 0.518846i
\(955\) 20.3152i 0.657384i
\(956\) −11.2220 + 13.3739i −0.362947 + 0.432543i
\(957\) 1.93888 + 4.86584i 0.0626752 + 0.157290i
\(958\) −2.82292 + 7.75592i −0.0912045 + 0.250582i
\(959\) −3.27170 + 9.44347i −0.105649 + 0.304945i
\(960\) 1.84615 + 4.63312i 0.0595843 + 0.149533i
\(961\) −25.9248 + 9.43587i −0.836285 + 0.304383i
\(962\) −5.78410 −0.186487
\(963\) 21.1162 + 48.6767i 0.680460 + 1.56859i
\(964\) 23.3601i 0.752378i
\(965\) −15.8757 13.3213i −0.511057 0.428828i
\(966\) −8.22088 4.25820i −0.264502 0.137005i
\(967\) −4.38055 24.8433i −0.140869 0.798908i −0.970592 0.240732i \(-0.922613\pi\)
0.829723 0.558176i \(-0.188499\pi\)
\(968\) 3.51668 9.66200i 0.113030 0.310549i
\(969\) −44.5416 + 39.7210i −1.43088 + 1.27602i
\(970\) −5.67564 + 32.1882i −0.182234 + 1.03350i
\(971\) 3.39219 + 5.87545i 0.108861 + 0.188552i 0.915309 0.402752i \(-0.131946\pi\)
−0.806448 + 0.591305i \(0.798613\pi\)
\(972\) 12.1778 9.73140i 0.390605 0.312135i
\(973\) −52.4532 + 31.3818i −1.68157 + 1.00605i
\(974\) −3.40764 9.36241i −0.109188 0.299991i
\(975\) 0.808401 + 3.89482i 0.0258895 + 0.124734i
\(976\) −1.14069 + 0.201135i −0.0365127 + 0.00643817i
\(977\) 14.4352 39.6603i 0.461821 1.26884i −0.462293 0.886727i \(-0.652973\pi\)
0.924114 0.382117i \(-0.124805\pi\)
\(978\) 20.2026 + 32.6779i 0.646007 + 1.04493i
\(979\) −0.0730937 + 0.0871097i −0.00233608 + 0.00278404i
\(980\) −10.6163 17.1339i −0.339125 0.547323i
\(981\) 16.5676 + 12.2811i 0.528964 + 0.392107i
\(982\) −12.0315 + 20.8391i −0.383939 + 0.665002i
\(983\) 2.99823 + 2.51581i 0.0956286 + 0.0802419i 0.689349 0.724430i \(-0.257897\pi\)
−0.593720 + 0.804672i \(0.702341\pi\)
\(984\) 2.54138 17.4754i 0.0810161 0.557095i
\(985\) −37.1541 + 6.55126i −1.18383 + 0.208741i
\(986\) −18.3107 6.66454i −0.583130 0.212242i
\(987\) 14.8739 + 35.7024i 0.473442 + 1.13642i
\(988\) 0.764703 4.33685i 0.0243284 0.137973i
\(989\) 12.3043 + 7.10390i 0.391255 + 0.225891i
\(990\) 5.31350 5.03377i 0.168874 0.159984i
\(991\) −4.83430 8.37325i −0.153567 0.265985i 0.778970 0.627062i \(-0.215743\pi\)
−0.932536 + 0.361077i \(0.882409\pi\)
\(992\) 0.320726 1.81893i 0.0101831 0.0577510i
\(993\) 41.6067 25.7226i 1.32035 0.816283i
\(994\) −29.3657 10.1738i −0.931424 0.322693i
\(995\) 18.1931 + 21.6817i 0.576762 + 0.687358i
\(996\) 1.57317 4.76401i 0.0498479 0.150953i
\(997\) 6.81472 + 1.20162i 0.215824 + 0.0380557i 0.280515 0.959850i \(-0.409495\pi\)
−0.0646903 + 0.997905i \(0.520606\pi\)
\(998\) −11.4047 6.58453i −0.361011 0.208430i
\(999\) −3.88673 42.8976i −0.122971 1.35722i
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 378.2.bf.a.101.16 yes 144
7.5 odd 6 378.2.ba.a.47.1 144
27.23 odd 18 378.2.ba.a.185.1 yes 144
189.131 even 18 inner 378.2.bf.a.131.16 yes 144
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
378.2.ba.a.47.1 144 7.5 odd 6
378.2.ba.a.185.1 yes 144 27.23 odd 18
378.2.bf.a.101.16 yes 144 1.1 even 1 trivial
378.2.bf.a.131.16 yes 144 189.131 even 18 inner