Properties

Label 930.2.bn.b.19.14
Level $930$
Weight $2$
Character 930.19
Analytic conductor $7.426$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(19,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([0, 15, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bn (of order \(30\), degree \(8\), 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: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(18\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 19.14
Character \(\chi\) \(=\) 930.19
Dual form 930.2.bn.b.49.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.587785 - 0.809017i) q^{2} +(0.406737 - 0.913545i) q^{3} +(-0.309017 - 0.951057i) q^{4} +(-0.180627 - 2.22876i) q^{5} +(-0.500000 - 0.866025i) q^{6} +(-1.95080 - 1.75650i) q^{7} +(-0.951057 - 0.309017i) q^{8} +(-0.669131 - 0.743145i) q^{9} +O(q^{10})\) \(q+(0.587785 - 0.809017i) q^{2} +(0.406737 - 0.913545i) q^{3} +(-0.309017 - 0.951057i) q^{4} +(-0.180627 - 2.22876i) q^{5} +(-0.500000 - 0.866025i) q^{6} +(-1.95080 - 1.75650i) q^{7} +(-0.951057 - 0.309017i) q^{8} +(-0.669131 - 0.743145i) q^{9} +(-1.90927 - 1.16390i) q^{10} +(-0.831899 - 0.176825i) q^{11} +(-0.994522 - 0.104528i) q^{12} +(3.90436 - 0.410364i) q^{13} +(-2.56769 + 0.545780i) q^{14} +(-2.10954 - 0.741508i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-0.467968 - 2.20162i) q^{17} +(-0.994522 + 0.104528i) q^{18} +(-0.440154 + 4.18778i) q^{19} +(-2.06386 + 0.860511i) q^{20} +(-2.39811 + 1.06771i) q^{21} +(-0.632033 + 0.569085i) q^{22} +(-4.82156 - 1.56662i) q^{23} +(-0.669131 + 0.743145i) q^{24} +(-4.93475 + 0.805147i) q^{25} +(1.96293 - 3.39990i) q^{26} +(-0.951057 + 0.309017i) q^{27} +(-1.06771 + 2.39811i) q^{28} +(7.54172 + 5.47938i) q^{29} +(-1.83985 + 1.27081i) q^{30} +(3.20557 - 4.55240i) q^{31} +1.00000i q^{32} +(-0.499902 + 0.688056i) q^{33} +(-2.05621 - 0.915483i) q^{34} +(-3.56246 + 4.66513i) q^{35} +(-0.500000 + 0.866025i) q^{36} +(0.363402 - 0.209811i) q^{37} +(3.12927 + 2.81761i) q^{38} +(1.21316 - 3.73372i) q^{39} +(-0.516939 + 2.17549i) q^{40} +(-11.0497 + 4.91966i) q^{41} +(-0.545780 + 2.56769i) q^{42} +(-4.44487 - 0.467175i) q^{43} +(0.0888997 + 0.845825i) q^{44} +(-1.53543 + 1.62556i) q^{45} +(-4.10146 + 2.97989i) q^{46} +(-5.67524 - 7.81130i) q^{47} +(0.207912 + 0.978148i) q^{48} +(-0.0114024 - 0.108486i) q^{49} +(-2.24919 + 4.46555i) q^{50} +(-2.20162 - 0.467968i) q^{51} +(-1.59679 - 3.58645i) q^{52} +(6.59729 - 5.94022i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(-0.243839 + 1.88604i) q^{55} +(1.31253 + 2.27336i) q^{56} +(3.64670 + 2.10542i) q^{57} +(8.86583 - 2.88068i) q^{58} +(8.02930 + 3.57487i) q^{59} +(-0.0533318 + 2.23543i) q^{60} +10.8920 q^{61} +(-1.79878 - 5.26919i) q^{62} +2.62506i q^{63} +(0.809017 + 0.587785i) q^{64} +(-1.61983 - 8.62775i) q^{65} +(0.262814 + 0.808858i) q^{66} +(8.75212 + 5.05304i) q^{67} +(-1.94925 + 1.12540i) q^{68} +(-3.39228 + 3.76751i) q^{69} +(1.68021 + 5.62419i) q^{70} +(-6.07223 - 6.74390i) q^{71} +(0.406737 + 0.913545i) q^{72} +(0.702164 - 3.30342i) q^{73} +(0.0438623 - 0.417322i) q^{74} +(-1.27160 + 4.83560i) q^{75} +(4.11883 - 0.875485i) q^{76} +(1.31227 + 1.80618i) q^{77} +(-2.30756 - 3.17609i) q^{78} +(-3.45357 + 0.734080i) q^{79} +(1.45616 + 1.69694i) q^{80} +(-0.104528 + 0.994522i) q^{81} +(-2.51478 + 11.8311i) q^{82} +(-6.79440 - 15.2605i) q^{83} +(1.75650 + 1.95080i) q^{84} +(-4.82235 + 1.44066i) q^{85} +(-2.99058 + 3.32138i) q^{86} +(8.07316 - 4.66104i) q^{87} +(0.736540 + 0.425242i) q^{88} +(-1.10589 - 3.40357i) q^{89} +(0.412606 + 2.19767i) q^{90} +(-8.33741 - 6.05748i) q^{91} +5.06969i q^{92} +(-2.85500 - 4.78006i) q^{93} -9.65529 q^{94} +(9.41307 + 0.224572i) q^{95} +(0.913545 + 0.406737i) q^{96} +(7.95184 - 2.58371i) q^{97} +(-0.0944694 - 0.0545419i) q^{98} +(0.425242 + 0.736540i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q + 36 q^{4} + 2 q^{5} - 72 q^{6} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q + 36 q^{4} + 2 q^{5} - 72 q^{6} - 18 q^{9} - 18 q^{11} - 8 q^{14} - 36 q^{16} - 24 q^{19} - 2 q^{20} + 28 q^{21} - 18 q^{24} + 10 q^{25} - 12 q^{26} - 4 q^{30} - 4 q^{31} + 10 q^{34} - 2 q^{35} - 72 q^{36} + 16 q^{39} + 4 q^{41} - 2 q^{44} - 2 q^{45} - 2 q^{46} - 78 q^{49} + 32 q^{50} + 10 q^{51} + 36 q^{54} - 50 q^{55} - 12 q^{56} + 28 q^{59} + 88 q^{61} + 36 q^{64} - 124 q^{65} + 6 q^{66} - 46 q^{69} - 10 q^{70} + 140 q^{71} + 34 q^{74} - 32 q^{75} + 24 q^{76} + 16 q^{79} + 12 q^{80} + 18 q^{81} - 8 q^{84} + 74 q^{85} - 98 q^{86} + 148 q^{89} + 44 q^{91} - 108 q^{94} - 80 q^{95} + 18 q^{96} - 2 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{2}{15}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.587785 0.809017i 0.415627 0.572061i
\(3\) 0.406737 0.913545i 0.234830 0.527436i
\(4\) −0.309017 0.951057i −0.154508 0.475528i
\(5\) −0.180627 2.22876i −0.0807787 0.996732i
\(6\) −0.500000 0.866025i −0.204124 0.353553i
\(7\) −1.95080 1.75650i −0.737332 0.663896i 0.212321 0.977200i \(-0.431898\pi\)
−0.949653 + 0.313303i \(0.898564\pi\)
\(8\) −0.951057 0.309017i −0.336249 0.109254i
\(9\) −0.669131 0.743145i −0.223044 0.247715i
\(10\) −1.90927 1.16390i −0.603766 0.368058i
\(11\) −0.831899 0.176825i −0.250827 0.0533149i 0.0807822 0.996732i \(-0.474258\pi\)
−0.331609 + 0.943417i \(0.607591\pi\)
\(12\) −0.994522 0.104528i −0.287094 0.0301748i
\(13\) 3.90436 0.410364i 1.08287 0.113815i 0.453757 0.891126i \(-0.350083\pi\)
0.629117 + 0.777311i \(0.283417\pi\)
\(14\) −2.56769 + 0.545780i −0.686244 + 0.145866i
\(15\) −2.10954 0.741508i −0.544681 0.191457i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) −0.467968 2.20162i −0.113499 0.533970i −0.997755 0.0669682i \(-0.978667\pi\)
0.884256 0.467002i \(-0.154666\pi\)
\(18\) −0.994522 + 0.104528i −0.234411 + 0.0246376i
\(19\) −0.440154 + 4.18778i −0.100978 + 0.960743i 0.820325 + 0.571898i \(0.193793\pi\)
−0.921303 + 0.388845i \(0.872874\pi\)
\(20\) −2.06386 + 0.860511i −0.461493 + 0.192416i
\(21\) −2.39811 + 1.06771i −0.523310 + 0.232993i
\(22\) −0.632033 + 0.569085i −0.134750 + 0.121329i
\(23\) −4.82156 1.56662i −1.00536 0.326663i −0.240358 0.970684i \(-0.577265\pi\)
−0.765007 + 0.644022i \(0.777265\pi\)
\(24\) −0.669131 + 0.743145i −0.136586 + 0.151694i
\(25\) −4.93475 + 0.805147i −0.986950 + 0.161029i
\(26\) 1.96293 3.39990i 0.384962 0.666774i
\(27\) −0.951057 + 0.309017i −0.183031 + 0.0594703i
\(28\) −1.06771 + 2.39811i −0.201778 + 0.453200i
\(29\) 7.54172 + 5.47938i 1.40046 + 1.01750i 0.994624 + 0.103551i \(0.0330205\pi\)
0.405839 + 0.913945i \(0.366979\pi\)
\(30\) −1.83985 + 1.27081i −0.335909 + 0.232017i
\(31\) 3.20557 4.55240i 0.575738 0.817634i
\(32\) 1.00000i 0.176777i
\(33\) −0.499902 + 0.688056i −0.0870217 + 0.119775i
\(34\) −2.05621 0.915483i −0.352637 0.157004i
\(35\) −3.56246 + 4.66513i −0.602166 + 0.788551i
\(36\) −0.500000 + 0.866025i −0.0833333 + 0.144338i
\(37\) 0.363402 0.209811i 0.0597430 0.0344926i −0.469831 0.882756i \(-0.655685\pi\)
0.529574 + 0.848264i \(0.322352\pi\)
\(38\) 3.12927 + 2.81761i 0.507635 + 0.457076i
\(39\) 1.21316 3.73372i 0.194261 0.597873i
\(40\) −0.516939 + 2.17549i −0.0817352 + 0.343976i
\(41\) −11.0497 + 4.91966i −1.72568 + 0.768321i −0.729215 + 0.684285i \(0.760115\pi\)
−0.996463 + 0.0840366i \(0.973219\pi\)
\(42\) −0.545780 + 2.56769i −0.0842156 + 0.396203i
\(43\) −4.44487 0.467175i −0.677837 0.0712435i −0.240647 0.970613i \(-0.577360\pi\)
−0.437190 + 0.899369i \(0.644026\pi\)
\(44\) 0.0888997 + 0.845825i 0.0134021 + 0.127513i
\(45\) −1.53543 + 1.62556i −0.228888 + 0.242325i
\(46\) −4.10146 + 2.97989i −0.604728 + 0.439361i
\(47\) −5.67524 7.81130i −0.827819 1.13939i −0.988325 0.152360i \(-0.951313\pi\)
0.160506 0.987035i \(-0.448687\pi\)
\(48\) 0.207912 + 0.978148i 0.0300095 + 0.141183i
\(49\) −0.0114024 0.108486i −0.00162891 0.0154980i
\(50\) −2.24919 + 4.46555i −0.318084 + 0.631524i
\(51\) −2.20162 0.467968i −0.308288 0.0655286i
\(52\) −1.59679 3.58645i −0.221435 0.497352i
\(53\) 6.59729 5.94022i 0.906207 0.815952i −0.0772654 0.997011i \(-0.524619\pi\)
0.983472 + 0.181058i \(0.0579522\pi\)
\(54\) −0.309017 + 0.951057i −0.0420519 + 0.129422i
\(55\) −0.243839 + 1.88604i −0.0328792 + 0.254314i
\(56\) 1.31253 + 2.27336i 0.175394 + 0.303791i
\(57\) 3.64670 + 2.10542i 0.483017 + 0.278870i
\(58\) 8.86583 2.88068i 1.16414 0.378252i
\(59\) 8.02930 + 3.57487i 1.04533 + 0.465409i 0.856254 0.516554i \(-0.172786\pi\)
0.189071 + 0.981963i \(0.439452\pi\)
\(60\) −0.0533318 + 2.23543i −0.00688511 + 0.288593i
\(61\) 10.8920 1.39458 0.697288 0.716791i \(-0.254390\pi\)
0.697288 + 0.716791i \(0.254390\pi\)
\(62\) −1.79878 5.26919i −0.228445 0.669188i
\(63\) 2.62506i 0.330726i
\(64\) 0.809017 + 0.587785i 0.101127 + 0.0734732i
\(65\) −1.61983 8.62775i −0.200916 1.07014i
\(66\) 0.262814 + 0.808858i 0.0323502 + 0.0995635i
\(67\) 8.75212 + 5.05304i 1.06924 + 0.617327i 0.927974 0.372645i \(-0.121549\pi\)
0.141267 + 0.989971i \(0.454882\pi\)
\(68\) −1.94925 + 1.12540i −0.236381 + 0.136475i
\(69\) −3.39228 + 3.76751i −0.408383 + 0.453555i
\(70\) 1.68021 + 5.62419i 0.200823 + 0.672219i
\(71\) −6.07223 6.74390i −0.720641 0.800353i 0.265876 0.964007i \(-0.414339\pi\)
−0.986518 + 0.163654i \(0.947672\pi\)
\(72\) 0.406737 + 0.913545i 0.0479344 + 0.107662i
\(73\) 0.702164 3.30342i 0.0821821 0.386636i −0.917763 0.397129i \(-0.870007\pi\)
0.999945 + 0.0104926i \(0.00333995\pi\)
\(74\) 0.0438623 0.417322i 0.00509889 0.0485127i
\(75\) −1.27160 + 4.83560i −0.146832 + 0.558367i
\(76\) 4.11883 0.875485i 0.472462 0.100425i
\(77\) 1.31227 + 1.80618i 0.149547 + 0.205834i
\(78\) −2.30756 3.17609i −0.261280 0.359621i
\(79\) −3.45357 + 0.734080i −0.388557 + 0.0825904i −0.398048 0.917365i \(-0.630312\pi\)
0.00949073 + 0.999955i \(0.496979\pi\)
\(80\) 1.45616 + 1.69694i 0.162804 + 0.189723i
\(81\) −0.104528 + 0.994522i −0.0116143 + 0.110502i
\(82\) −2.51478 + 11.8311i −0.277711 + 1.30653i
\(83\) −6.79440 15.2605i −0.745782 1.67505i −0.737739 0.675086i \(-0.764107\pi\)
−0.00804236 0.999968i \(-0.502560\pi\)
\(84\) 1.75650 + 1.95080i 0.191650 + 0.212849i
\(85\) −4.82235 + 1.44066i −0.523057 + 0.156261i
\(86\) −2.99058 + 3.32138i −0.322483 + 0.358154i
\(87\) 8.07316 4.66104i 0.865534 0.499716i
\(88\) 0.736540 + 0.425242i 0.0785155 + 0.0453309i
\(89\) −1.10589 3.40357i −0.117224 0.360777i 0.875181 0.483796i \(-0.160742\pi\)
−0.992404 + 0.123019i \(0.960742\pi\)
\(90\) 0.412606 + 2.19767i 0.0434925 + 0.231655i
\(91\) −8.33741 6.05748i −0.873998 0.634997i
\(92\) 5.06969i 0.528552i
\(93\) −2.85500 4.78006i −0.296049 0.495669i
\(94\) −9.65529 −0.995867
\(95\) 9.41307 + 0.224572i 0.965760 + 0.0230406i
\(96\) 0.913545 + 0.406737i 0.0932383 + 0.0415124i
\(97\) 7.95184 2.58371i 0.807387 0.262336i 0.123897 0.992295i \(-0.460461\pi\)
0.683491 + 0.729959i \(0.260461\pi\)
\(98\) −0.0944694 0.0545419i −0.00954285 0.00550957i
\(99\) 0.425242 + 0.736540i 0.0427384 + 0.0740251i
\(100\) 2.29066 + 4.44442i 0.229066 + 0.444442i
\(101\) 3.78818 11.6588i 0.376938 1.16009i −0.565224 0.824937i \(-0.691210\pi\)
0.942162 0.335158i \(-0.108790\pi\)
\(102\) −1.67267 + 1.50608i −0.165619 + 0.149124i
\(103\) 4.70434 + 10.5661i 0.463532 + 1.04111i 0.982491 + 0.186311i \(0.0596533\pi\)
−0.518958 + 0.854799i \(0.673680\pi\)
\(104\) −3.84007 0.816233i −0.376550 0.0800382i
\(105\) 2.81282 + 5.15195i 0.274503 + 0.502779i
\(106\) −0.927954 8.82889i −0.0901309 0.857538i
\(107\) −0.397192 1.86864i −0.0383980 0.180648i 0.954769 0.297348i \(-0.0961020\pi\)
−0.993167 + 0.116699i \(0.962769\pi\)
\(108\) 0.587785 + 0.809017i 0.0565597 + 0.0778477i
\(109\) −7.07515 + 5.14039i −0.677676 + 0.492360i −0.872586 0.488461i \(-0.837559\pi\)
0.194910 + 0.980821i \(0.437559\pi\)
\(110\) 1.38252 + 1.30586i 0.131818 + 0.124509i
\(111\) −0.0438623 0.417322i −0.00416323 0.0396105i
\(112\) 2.61068 + 0.274393i 0.246686 + 0.0259277i
\(113\) 2.25264 10.5978i 0.211910 0.996959i −0.735645 0.677367i \(-0.763121\pi\)
0.947555 0.319592i \(-0.103546\pi\)
\(114\) 3.84680 1.71271i 0.360286 0.160410i
\(115\) −2.62072 + 11.0291i −0.244383 + 1.02847i
\(116\) 2.88068 8.86583i 0.267465 0.823171i
\(117\) −2.91748 2.62691i −0.269721 0.242858i
\(118\) 7.61164 4.39458i 0.700708 0.404554i
\(119\) −2.95424 + 5.11689i −0.270815 + 0.469065i
\(120\) 1.77715 + 1.35710i 0.162231 + 0.123886i
\(121\) −9.38821 4.17990i −0.853474 0.379991i
\(122\) 6.40215 8.81181i 0.579624 0.797784i
\(123\) 12.0954i 1.09061i
\(124\) −5.32016 1.64191i −0.477765 0.147448i
\(125\) 2.68583 + 10.8529i 0.240228 + 0.970717i
\(126\) 2.12371 + 1.54297i 0.189196 + 0.137459i
\(127\) −6.09966 + 13.7001i −0.541257 + 1.21568i 0.411349 + 0.911478i \(0.365058\pi\)
−0.952606 + 0.304206i \(0.901609\pi\)
\(128\) 0.951057 0.309017i 0.0840623 0.0273135i
\(129\) −2.23468 + 3.87058i −0.196752 + 0.340785i
\(130\) −7.93211 3.76079i −0.695692 0.329843i
\(131\) 8.44514 9.37928i 0.737856 0.819472i −0.251057 0.967972i \(-0.580778\pi\)
0.988912 + 0.148501i \(0.0474447\pi\)
\(132\) 0.808858 + 0.262814i 0.0704021 + 0.0228750i
\(133\) 8.21451 7.39638i 0.712288 0.641347i
\(134\) 9.23236 4.11051i 0.797554 0.355094i
\(135\) 0.860511 + 2.06386i 0.0740610 + 0.177629i
\(136\) −0.235273 + 2.23847i −0.0201745 + 0.191947i
\(137\) 4.78113 0.502517i 0.408479 0.0429329i 0.101939 0.994791i \(-0.467495\pi\)
0.306540 + 0.951858i \(0.400829\pi\)
\(138\) 1.05405 + 4.95890i 0.0897265 + 0.422130i
\(139\) 10.0265 7.28465i 0.850433 0.617876i −0.0748325 0.997196i \(-0.523842\pi\)
0.925265 + 0.379320i \(0.123842\pi\)
\(140\) 5.53766 + 1.94650i 0.468018 + 0.164509i
\(141\) −9.44430 + 2.00745i −0.795354 + 0.169058i
\(142\) −9.02510 + 0.948576i −0.757369 + 0.0796027i
\(143\) −3.32059 0.349008i −0.277682 0.0291855i
\(144\) 0.978148 + 0.207912i 0.0815123 + 0.0173260i
\(145\) 10.8500 17.7984i 0.901043 1.47808i
\(146\) −2.25980 2.50976i −0.187023 0.207710i
\(147\) −0.103745 0.0337088i −0.00855674 0.00278025i
\(148\) −0.311839 0.280781i −0.0256330 0.0230801i
\(149\) 8.48769 + 14.7011i 0.695339 + 1.20436i 0.970066 + 0.242840i \(0.0780791\pi\)
−0.274727 + 0.961522i \(0.588588\pi\)
\(150\) 3.16465 + 3.87104i 0.258393 + 0.316069i
\(151\) 2.18831 + 6.73494i 0.178082 + 0.548081i 0.999761 0.0218701i \(-0.00696201\pi\)
−0.821678 + 0.569951i \(0.806962\pi\)
\(152\) 1.71271 3.84680i 0.138919 0.312017i
\(153\) −1.32299 + 1.82094i −0.106957 + 0.147214i
\(154\) 2.23257 0.179905
\(155\) −10.7252 6.32217i −0.861470 0.507809i
\(156\) −3.92586 −0.314321
\(157\) 0.854998 1.17680i 0.0682363 0.0939192i −0.773535 0.633754i \(-0.781513\pi\)
0.841771 + 0.539835i \(0.181513\pi\)
\(158\) −1.43608 + 3.22548i −0.114248 + 0.256605i
\(159\) −2.74331 8.44303i −0.217558 0.669576i
\(160\) 2.22876 0.180627i 0.176199 0.0142798i
\(161\) 6.65411 + 11.5253i 0.524417 + 0.908317i
\(162\) 0.743145 + 0.669131i 0.0583870 + 0.0525719i
\(163\) 0.230639 + 0.0749391i 0.0180650 + 0.00586968i 0.318036 0.948079i \(-0.396977\pi\)
−0.299971 + 0.953948i \(0.596977\pi\)
\(164\) 8.09343 + 8.98866i 0.631990 + 0.701896i
\(165\) 1.62381 + 0.989880i 0.126413 + 0.0770621i
\(166\) −16.3396 3.47309i −1.26820 0.269564i
\(167\) −0.544400 0.0572187i −0.0421269 0.00442772i 0.0834416 0.996513i \(-0.473409\pi\)
−0.125568 + 0.992085i \(0.540075\pi\)
\(168\) 2.61068 0.274393i 0.201418 0.0211699i
\(169\) 2.35967 0.501564i 0.181513 0.0385819i
\(170\) −1.66899 + 4.74816i −0.128005 + 0.364167i
\(171\) 3.40665 2.47507i 0.260513 0.189274i
\(172\) 0.929232 + 4.37169i 0.0708532 + 0.333338i
\(173\) −14.8524 + 1.56105i −1.12921 + 0.118684i −0.650654 0.759374i \(-0.725505\pi\)
−0.478553 + 0.878059i \(0.658838\pi\)
\(174\) 0.974423 9.27102i 0.0738708 0.702834i
\(175\) 11.0409 + 7.09723i 0.834616 + 0.536500i
\(176\) 0.776955 0.345923i 0.0585652 0.0260749i
\(177\) 6.53162 5.88110i 0.490947 0.442050i
\(178\) −3.40357 1.10589i −0.255108 0.0828897i
\(179\) 6.11119 6.78716i 0.456772 0.507296i −0.470132 0.882596i \(-0.655794\pi\)
0.926903 + 0.375300i \(0.122460\pi\)
\(180\) 2.02048 + 0.957953i 0.150597 + 0.0714016i
\(181\) 7.77994 13.4752i 0.578278 1.00161i −0.417399 0.908723i \(-0.637058\pi\)
0.995677 0.0928838i \(-0.0296085\pi\)
\(182\) −9.80121 + 3.18461i −0.726514 + 0.236059i
\(183\) 4.43017 9.95033i 0.327488 0.735550i
\(184\) 4.10146 + 2.97989i 0.302364 + 0.219680i
\(185\) −0.533258 0.772040i −0.0392059 0.0567615i
\(186\) −5.54528 0.499909i −0.406599 0.0366551i
\(187\) 1.91427i 0.139985i
\(188\) −5.67524 + 7.81130i −0.413909 + 0.569697i
\(189\) 2.39811 + 1.06771i 0.174437 + 0.0776642i
\(190\) 5.71454 7.48333i 0.414577 0.542898i
\(191\) 13.2738 22.9908i 0.960455 1.66356i 0.239097 0.970996i \(-0.423149\pi\)
0.721359 0.692562i \(-0.243518\pi\)
\(192\) 0.866025 0.500000i 0.0625000 0.0360844i
\(193\) 16.4030 + 14.7693i 1.18071 + 1.06312i 0.996780 + 0.0801803i \(0.0255496\pi\)
0.183933 + 0.982939i \(0.441117\pi\)
\(194\) 2.58371 7.95184i 0.185500 0.570909i
\(195\) −8.54069 2.02943i −0.611611 0.145331i
\(196\) −0.0996531 + 0.0443684i −0.00711808 + 0.00316917i
\(197\) 0.169941 0.799510i 0.0121078 0.0569627i −0.971679 0.236305i \(-0.924064\pi\)
0.983787 + 0.179342i \(0.0573969\pi\)
\(198\) 0.845825 + 0.0888997i 0.0601101 + 0.00631783i
\(199\) 1.85816 + 17.6792i 0.131721 + 1.25324i 0.838142 + 0.545451i \(0.183642\pi\)
−0.706421 + 0.707792i \(0.749692\pi\)
\(200\) 4.94203 + 0.759181i 0.349454 + 0.0536822i
\(201\) 8.17599 5.94020i 0.576690 0.418990i
\(202\) −7.20554 9.91758i −0.506980 0.697798i
\(203\) −5.08780 23.9362i −0.357094 1.67999i
\(204\) 0.235273 + 2.23847i 0.0164724 + 0.156724i
\(205\) 12.9606 + 23.7386i 0.905208 + 1.65797i
\(206\) 11.3133 + 2.40472i 0.788236 + 0.167545i
\(207\) 2.06203 + 4.63139i 0.143321 + 0.321904i
\(208\) −2.91748 + 2.62691i −0.202291 + 0.182144i
\(209\) 1.10667 3.40598i 0.0765499 0.235596i
\(210\) 5.82135 + 0.752619i 0.401711 + 0.0519356i
\(211\) −8.63300 14.9528i −0.594320 1.02939i −0.993642 0.112582i \(-0.964088\pi\)
0.399322 0.916811i \(-0.369246\pi\)
\(212\) −7.68816 4.43876i −0.528025 0.304855i
\(213\) −8.63066 + 2.80427i −0.591363 + 0.192145i
\(214\) −1.74523 0.777025i −0.119301 0.0531163i
\(215\) −0.238359 + 9.99094i −0.0162560 + 0.681377i
\(216\) 1.00000 0.0680414
\(217\) −14.2497 + 3.25019i −0.967334 + 0.220638i
\(218\) 8.74536i 0.592311i
\(219\) −2.73223 1.98508i −0.184627 0.134139i
\(220\) 1.86908 0.350915i 0.126014 0.0236587i
\(221\) −2.73058 8.40385i −0.183678 0.565304i
\(222\) −0.363402 0.209811i −0.0243900 0.0140816i
\(223\) 2.51488 1.45197i 0.168409 0.0972310i −0.413426 0.910538i \(-0.635668\pi\)
0.581835 + 0.813307i \(0.302335\pi\)
\(224\) 1.75650 1.95080i 0.117361 0.130343i
\(225\) 3.90033 + 3.12848i 0.260022 + 0.208566i
\(226\) −7.24975 8.05166i −0.482246 0.535589i
\(227\) 4.99254 + 11.2134i 0.331367 + 0.744262i 1.00000 0.000669382i \(0.000213071\pi\)
−0.668633 + 0.743593i \(0.733120\pi\)
\(228\) 0.875485 4.11883i 0.0579804 0.272776i
\(229\) −0.308662 + 2.93672i −0.0203970 + 0.194064i −0.999976 0.00699773i \(-0.997773\pi\)
0.979579 + 0.201062i \(0.0644392\pi\)
\(230\) 7.38229 + 8.60294i 0.486774 + 0.567261i
\(231\) 2.18378 0.464177i 0.143682 0.0305406i
\(232\) −5.47938 7.54172i −0.359739 0.495138i
\(233\) 7.82498 + 10.7702i 0.512632 + 0.705577i 0.984360 0.176167i \(-0.0563698\pi\)
−0.471729 + 0.881744i \(0.656370\pi\)
\(234\) −3.84007 + 0.816233i −0.251033 + 0.0533588i
\(235\) −16.3844 + 14.0597i −1.06880 + 0.917152i
\(236\) 0.918718 8.74102i 0.0598034 0.568992i
\(237\) −0.734080 + 3.45357i −0.0476836 + 0.224334i
\(238\) 2.40319 + 5.39766i 0.155776 + 0.349878i
\(239\) −6.29432 6.99055i −0.407146 0.452181i 0.504345 0.863502i \(-0.331734\pi\)
−0.911490 + 0.411321i \(0.865067\pi\)
\(240\) 2.14250 0.640065i 0.138298 0.0413160i
\(241\) 13.7192 15.2367i 0.883732 0.981484i −0.116199 0.993226i \(-0.537071\pi\)
0.999931 + 0.0117419i \(0.00373766\pi\)
\(242\) −8.89986 + 5.13834i −0.572105 + 0.330305i
\(243\) 0.866025 + 0.500000i 0.0555556 + 0.0320750i
\(244\) −3.36581 10.3589i −0.215474 0.663161i
\(245\) −0.239730 + 0.0450087i −0.0153158 + 0.00287550i
\(246\) 9.78541 + 7.10952i 0.623895 + 0.453286i
\(247\) 16.5312i 1.05186i
\(248\) −4.45545 + 3.33901i −0.282921 + 0.212027i
\(249\) −16.7047 −1.05861
\(250\) 10.3589 + 4.20632i 0.655155 + 0.266031i
\(251\) −13.8783 6.17903i −0.875992 0.390017i −0.0810556 0.996710i \(-0.525829\pi\)
−0.794936 + 0.606693i \(0.792496\pi\)
\(252\) 2.49658 0.811187i 0.157270 0.0511000i
\(253\) 3.73403 + 2.15584i 0.234757 + 0.135537i
\(254\) 7.49829 + 12.9874i 0.470485 + 0.814903i
\(255\) −0.645318 + 4.99140i −0.0404114 + 0.312574i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) 23.3679 21.0405i 1.45765 1.31247i 0.598093 0.801426i \(-0.295925\pi\)
0.859554 0.511045i \(-0.170742\pi\)
\(258\) 1.81785 + 4.08296i 0.113174 + 0.254194i
\(259\) −1.07746 0.229021i −0.0669500 0.0142307i
\(260\) −7.70492 + 4.20668i −0.477839 + 0.260887i
\(261\) −0.974423 9.27102i −0.0603153 0.573861i
\(262\) −2.62407 12.3453i −0.162115 0.762693i
\(263\) −7.64534 10.5229i −0.471432 0.648870i 0.505398 0.862886i \(-0.331346\pi\)
−0.976830 + 0.214016i \(0.931346\pi\)
\(264\) 0.688056 0.499902i 0.0423469 0.0307668i
\(265\) −14.4310 13.6308i −0.886488 0.837334i
\(266\) −1.15543 10.9932i −0.0708438 0.674034i
\(267\) −3.55912 0.374078i −0.217815 0.0228932i
\(268\) 2.10117 9.88523i 0.128349 0.603837i
\(269\) 13.8382 6.16116i 0.843729 0.375652i 0.0610931 0.998132i \(-0.480541\pi\)
0.782636 + 0.622480i \(0.213875\pi\)
\(270\) 2.17549 + 0.516939i 0.132396 + 0.0314599i
\(271\) −5.20589 + 16.0221i −0.316235 + 0.973273i 0.659007 + 0.752136i \(0.270977\pi\)
−0.975243 + 0.221136i \(0.929023\pi\)
\(272\) 1.67267 + 1.50608i 0.101421 + 0.0913195i
\(273\) −8.92492 + 5.15280i −0.540160 + 0.311862i
\(274\) 2.40373 4.16339i 0.145215 0.251519i
\(275\) 4.24758 + 0.202789i 0.256139 + 0.0122286i
\(276\) 4.63139 + 2.06203i 0.278777 + 0.124120i
\(277\) −0.439357 + 0.604723i −0.0263984 + 0.0363343i −0.822012 0.569470i \(-0.807149\pi\)
0.795614 + 0.605804i \(0.207149\pi\)
\(278\) 12.3934i 0.743306i
\(279\) −5.52804 + 0.663943i −0.330955 + 0.0397492i
\(280\) 4.82971 3.33594i 0.288630 0.199361i
\(281\) 0.280386 + 0.203712i 0.0167264 + 0.0121525i 0.596117 0.802898i \(-0.296709\pi\)
−0.579391 + 0.815050i \(0.696709\pi\)
\(282\) −3.92716 + 8.82055i −0.233859 + 0.525256i
\(283\) 10.9365 3.55349i 0.650108 0.211233i 0.0346464 0.999400i \(-0.488969\pi\)
0.615462 + 0.788167i \(0.288969\pi\)
\(284\) −4.53740 + 7.85901i −0.269245 + 0.466347i
\(285\) 4.03380 8.50792i 0.238941 0.503966i
\(286\) −2.23415 + 2.48127i −0.132108 + 0.146721i
\(287\) 30.1972 + 9.81166i 1.78248 + 0.579164i
\(288\) 0.743145 0.669131i 0.0437902 0.0394289i
\(289\) 10.9022 4.85395i 0.641303 0.285527i
\(290\) −8.02175 19.2395i −0.471054 1.12978i
\(291\) 0.873969 8.31526i 0.0512330 0.487449i
\(292\) −3.35872 + 0.353016i −0.196554 + 0.0206587i
\(293\) 6.54768 + 30.8044i 0.382520 + 1.79961i 0.574823 + 0.818278i \(0.305071\pi\)
−0.192303 + 0.981336i \(0.561596\pi\)
\(294\) −0.0882507 + 0.0641179i −0.00514689 + 0.00373943i
\(295\) 6.51724 18.5411i 0.379448 1.07950i
\(296\) −0.410451 + 0.0872441i −0.0238570 + 0.00507096i
\(297\) 0.845825 0.0888997i 0.0490797 0.00515849i
\(298\) 16.8824 + 1.77441i 0.977971 + 0.102789i
\(299\) −19.4680 4.13805i −1.12586 0.239309i
\(300\) 4.99188 0.284914i 0.288206 0.0164495i
\(301\) 7.85045 + 8.71881i 0.452492 + 0.502544i
\(302\) 6.73494 + 2.18831i 0.387552 + 0.125923i
\(303\) −9.11006 8.20274i −0.523359 0.471235i
\(304\) −2.10542 3.64670i −0.120754 0.209153i
\(305\) −1.96738 24.2756i −0.112652 1.39002i
\(306\) 0.695536 + 2.14064i 0.0397611 + 0.122372i
\(307\) −8.42417 + 18.9210i −0.480793 + 1.07988i 0.496510 + 0.868031i \(0.334615\pi\)
−0.977303 + 0.211847i \(0.932052\pi\)
\(308\) 1.31227 1.80618i 0.0747735 0.102917i
\(309\) 11.5661 0.657970
\(310\) −11.4189 + 4.96080i −0.648548 + 0.281755i
\(311\) −12.3264 −0.698967 −0.349484 0.936943i \(-0.613643\pi\)
−0.349484 + 0.936943i \(0.613643\pi\)
\(312\) −2.30756 + 3.17609i −0.130640 + 0.179811i
\(313\) −0.498318 + 1.11924i −0.0281666 + 0.0632632i −0.927081 0.374861i \(-0.877690\pi\)
0.898914 + 0.438124i \(0.144357\pi\)
\(314\) −0.449499 1.38342i −0.0253667 0.0780707i
\(315\) 5.85062 0.474155i 0.329645 0.0267156i
\(316\) 1.76536 + 3.05770i 0.0993095 + 0.172009i
\(317\) −2.45657 2.21191i −0.137975 0.124233i 0.597254 0.802052i \(-0.296258\pi\)
−0.735229 + 0.677819i \(0.762925\pi\)
\(318\) −8.44303 2.74331i −0.473462 0.153837i
\(319\) −5.30505 5.89186i −0.297026 0.329881i
\(320\) 1.16390 1.90927i 0.0650641 0.106732i
\(321\) −1.86864 0.397192i −0.104297 0.0221691i
\(322\) 13.2353 + 1.39109i 0.737575 + 0.0775223i
\(323\) 9.42586 0.990698i 0.524469 0.0551239i
\(324\) 0.978148 0.207912i 0.0543415 0.0115506i
\(325\) −18.9366 + 5.16862i −1.05041 + 0.286704i
\(326\) 0.196193 0.142543i 0.0108661 0.00789471i
\(327\) 1.81826 + 8.55425i 0.100550 + 0.473051i
\(328\) 12.0292 1.26432i 0.664200 0.0698102i
\(329\) −2.64934 + 25.2068i −0.146063 + 1.38970i
\(330\) 1.75528 0.731851i 0.0966250 0.0402870i
\(331\) 3.65829 1.62878i 0.201078 0.0895257i −0.303727 0.952759i \(-0.598231\pi\)
0.504805 + 0.863233i \(0.331564\pi\)
\(332\) −12.4140 + 11.1776i −0.681306 + 0.613450i
\(333\) −0.399083 0.129670i −0.0218696 0.00710587i
\(334\) −0.366281 + 0.406796i −0.0200420 + 0.0222589i
\(335\) 9.68115 20.4191i 0.528938 1.11561i
\(336\) 1.31253 2.27336i 0.0716043 0.124022i
\(337\) −12.9790 + 4.21713i −0.707011 + 0.229722i −0.640383 0.768056i \(-0.721224\pi\)
−0.0666286 + 0.997778i \(0.521224\pi\)
\(338\) 0.981208 2.20383i 0.0533707 0.119873i
\(339\) −8.76536 6.36841i −0.476069 0.345884i
\(340\) 2.86033 + 4.14114i 0.155123 + 0.224585i
\(341\) −3.47169 + 3.22030i −0.188003 + 0.174389i
\(342\) 4.21085i 0.227697i
\(343\) −10.9691 + 15.0977i −0.592275 + 0.815197i
\(344\) 4.08296 + 1.81785i 0.220139 + 0.0980120i
\(345\) 9.00962 + 6.88008i 0.485062 + 0.370411i
\(346\) −7.46710 + 12.9334i −0.401434 + 0.695304i
\(347\) −26.7700 + 15.4557i −1.43709 + 0.829704i −0.997647 0.0685671i \(-0.978157\pi\)
−0.439442 + 0.898271i \(0.644824\pi\)
\(348\) −6.92766 6.23769i −0.371361 0.334375i
\(349\) −2.43761 + 7.50219i −0.130482 + 0.401583i −0.994860 0.101260i \(-0.967713\pi\)
0.864378 + 0.502843i \(0.167713\pi\)
\(350\) 12.2315 4.76065i 0.653800 0.254468i
\(351\) −3.58645 + 1.59679i −0.191431 + 0.0852304i
\(352\) 0.176825 0.831899i 0.00942483 0.0443403i
\(353\) 7.21467 + 0.758292i 0.383998 + 0.0403598i 0.294561 0.955633i \(-0.404827\pi\)
0.0894369 + 0.995992i \(0.471493\pi\)
\(354\) −0.918718 8.74102i −0.0488293 0.464580i
\(355\) −13.9337 + 14.7517i −0.739525 + 0.782938i
\(356\) −2.89525 + 2.10352i −0.153448 + 0.111486i
\(357\) 3.47292 + 4.78006i 0.183806 + 0.252988i
\(358\) −1.89886 8.93345i −0.100358 0.472147i
\(359\) 0.756503 + 7.19765i 0.0399267 + 0.379877i 0.996179 + 0.0873342i \(0.0278348\pi\)
−0.956252 + 0.292543i \(0.905499\pi\)
\(360\) 1.96261 1.07153i 0.103438 0.0564745i
\(361\) 1.24103 + 0.263789i 0.0653173 + 0.0138836i
\(362\) −6.32877 14.2147i −0.332633 0.747106i
\(363\) −7.63706 + 6.87644i −0.400842 + 0.360919i
\(364\) −3.18461 + 9.80121i −0.166919 + 0.513723i
\(365\) −7.48937 0.968270i −0.392011 0.0506815i
\(366\) −5.44600 9.43274i −0.284667 0.493057i
\(367\) −1.38524 0.799768i −0.0723089 0.0417476i 0.463410 0.886144i \(-0.346626\pi\)
−0.535719 + 0.844397i \(0.679959\pi\)
\(368\) 4.82156 1.56662i 0.251341 0.0816657i
\(369\) 11.0497 + 4.91966i 0.575226 + 0.256107i
\(370\) −0.938034 0.0223792i −0.0487661 0.00116344i
\(371\) −23.3040 −1.20988
\(372\) −3.66387 + 4.19238i −0.189963 + 0.217365i
\(373\) 0.276806i 0.0143325i −0.999974 0.00716624i \(-0.997719\pi\)
0.999974 0.00716624i \(-0.00228111\pi\)
\(374\) 1.54868 + 1.12518i 0.0800802 + 0.0581816i
\(375\) 11.0071 + 1.96066i 0.568403 + 0.101248i
\(376\) 2.98365 + 9.18273i 0.153870 + 0.473563i
\(377\) 31.6941 + 18.2986i 1.63233 + 0.942426i
\(378\) 2.27336 1.31253i 0.116929 0.0675091i
\(379\) 5.63867 6.26238i 0.289639 0.321677i −0.580711 0.814109i \(-0.697226\pi\)
0.870351 + 0.492433i \(0.163892\pi\)
\(380\) −2.69522 9.02175i −0.138262 0.462806i
\(381\) 10.0347 + 11.1446i 0.514092 + 0.570957i
\(382\) −10.7978 24.2524i −0.552466 1.24086i
\(383\) −4.13905 + 19.4727i −0.211496 + 0.995009i 0.736429 + 0.676515i \(0.236510\pi\)
−0.947925 + 0.318494i \(0.896823\pi\)
\(384\) 0.104528 0.994522i 0.00533420 0.0507515i
\(385\) 3.78852 3.25098i 0.193081 0.165685i
\(386\) 21.5901 4.58911i 1.09891 0.233580i
\(387\) 2.62702 + 3.61579i 0.133539 + 0.183801i
\(388\) −4.91451 6.76424i −0.249496 0.343402i
\(389\) −2.31081 + 0.491179i −0.117163 + 0.0249037i −0.266120 0.963940i \(-0.585742\pi\)
0.148957 + 0.988844i \(0.452408\pi\)
\(390\) −6.66193 + 5.71669i −0.337340 + 0.289476i
\(391\) −1.19276 + 11.3484i −0.0603204 + 0.573911i
\(392\) −0.0226798 + 0.106700i −0.00114550 + 0.00538917i
\(393\) −5.13345 11.5299i −0.258948 0.581608i
\(394\) −0.546928 0.607426i −0.0275539 0.0306017i
\(395\) 2.25990 + 7.56459i 0.113708 + 0.380616i
\(396\) 0.569085 0.632033i 0.0285976 0.0317608i
\(397\) 9.61850 5.55325i 0.482739 0.278709i −0.238818 0.971064i \(-0.576760\pi\)
0.721557 + 0.692355i \(0.243427\pi\)
\(398\) 15.3949 + 8.88827i 0.771679 + 0.445529i
\(399\) −3.41578 10.5127i −0.171003 0.526293i
\(400\) 3.51904 3.55195i 0.175952 0.177597i
\(401\) −15.5023 11.2631i −0.774147 0.562451i 0.129069 0.991636i \(-0.458801\pi\)
−0.903217 + 0.429184i \(0.858801\pi\)
\(402\) 10.1061i 0.504045i
\(403\) 10.6476 19.0896i 0.530392 0.950922i
\(404\) −12.2588 −0.609898
\(405\) 2.23543 + 0.0533318i 0.111080 + 0.00265008i
\(406\) −22.3554 9.95325i −1.10948 0.493971i
\(407\) −0.339414 + 0.110282i −0.0168241 + 0.00546649i
\(408\) 1.94925 + 1.12540i 0.0965023 + 0.0557156i
\(409\) 11.8472 + 20.5200i 0.585807 + 1.01465i 0.994774 + 0.102098i \(0.0325555\pi\)
−0.408968 + 0.912549i \(0.634111\pi\)
\(410\) 26.8230 + 3.46783i 1.32469 + 0.171264i
\(411\) 1.48559 4.57217i 0.0732786 0.225528i
\(412\) 8.59526 7.73920i 0.423458 0.381283i
\(413\) −9.38424 21.0774i −0.461768 1.03715i
\(414\) 4.95890 + 1.05405i 0.243717 + 0.0518036i
\(415\) −32.7847 + 17.8995i −1.60934 + 0.878653i
\(416\) 0.410364 + 3.90436i 0.0201198 + 0.191427i
\(417\) −2.57673 12.1226i −0.126183 0.593644i
\(418\) −2.10501 2.89730i −0.102959 0.141712i
\(419\) −20.4757 + 14.8765i −1.00030 + 0.726762i −0.962153 0.272510i \(-0.912146\pi\)
−0.0381493 + 0.999272i \(0.512146\pi\)
\(420\) 4.03059 4.26719i 0.196672 0.208218i
\(421\) −2.13845 20.3460i −0.104222 0.991603i −0.914233 0.405189i \(-0.867206\pi\)
0.810011 0.586414i \(-0.199461\pi\)
\(422\) −17.1714 1.80479i −0.835892 0.0878558i
\(423\) −2.00745 + 9.44430i −0.0976055 + 0.459198i
\(424\) −8.11002 + 3.61081i −0.393858 + 0.175357i
\(425\) 4.08193 + 10.4876i 0.198003 + 0.508725i
\(426\) −2.80427 + 8.63066i −0.135867 + 0.418157i
\(427\) −21.2481 19.1318i −1.02827 0.925855i
\(428\) −1.65444 + 0.955194i −0.0799706 + 0.0461710i
\(429\) −1.66944 + 2.89156i −0.0806014 + 0.139606i
\(430\) 7.94274 + 6.06537i 0.383033 + 0.292498i
\(431\) 27.0755 + 12.0548i 1.30418 + 0.580658i 0.936947 0.349472i \(-0.113639\pi\)
0.367232 + 0.930129i \(0.380306\pi\)
\(432\) 0.587785 0.809017i 0.0282798 0.0389238i
\(433\) 37.5809i 1.80602i 0.429615 + 0.903012i \(0.358649\pi\)
−0.429615 + 0.903012i \(0.641351\pi\)
\(434\) −5.74632 + 13.4387i −0.275832 + 0.645078i
\(435\) −11.8466 17.1512i −0.568000 0.822339i
\(436\) 7.07515 + 5.14039i 0.338838 + 0.246180i
\(437\) 8.68289 19.5021i 0.415359 0.932911i
\(438\) −3.21193 + 1.04362i −0.153472 + 0.0498660i
\(439\) 4.84351 8.38921i 0.231168 0.400395i −0.726984 0.686654i \(-0.759079\pi\)
0.958152 + 0.286259i \(0.0924119\pi\)
\(440\) 0.814723 1.71838i 0.0388404 0.0819207i
\(441\) −0.0729914 + 0.0810651i −0.00347578 + 0.00386024i
\(442\) −8.40385 2.73058i −0.399730 0.129880i
\(443\) −10.1822 + 9.16811i −0.483772 + 0.435590i −0.874579 0.484882i \(-0.838862\pi\)
0.390808 + 0.920472i \(0.372196\pi\)
\(444\) −0.383343 + 0.170675i −0.0181926 + 0.00809989i
\(445\) −7.38599 + 3.07953i −0.350129 + 0.145984i
\(446\) 0.303544 2.88803i 0.0143732 0.136752i
\(447\) 16.8824 1.77441i 0.798510 0.0839268i
\(448\) −0.545780 2.56769i −0.0257857 0.121312i
\(449\) −5.31402 + 3.86086i −0.250784 + 0.182205i −0.706074 0.708138i \(-0.749536\pi\)
0.455290 + 0.890343i \(0.349536\pi\)
\(450\) 4.82355 1.31656i 0.227385 0.0620631i
\(451\) 10.0622 2.13878i 0.473809 0.100711i
\(452\) −10.7752 + 1.13252i −0.506824 + 0.0532694i
\(453\) 7.04274 + 0.740222i 0.330897 + 0.0347786i
\(454\) 12.0064 + 2.55204i 0.563488 + 0.119773i
\(455\) −11.9947 + 19.6762i −0.562321 + 0.922436i
\(456\) −2.81761 3.12927i −0.131947 0.146542i
\(457\) 16.5892 + 5.39015i 0.776009 + 0.252140i 0.670135 0.742239i \(-0.266236\pi\)
0.105873 + 0.994380i \(0.466236\pi\)
\(458\) 2.19443 + 1.97587i 0.102539 + 0.0923266i
\(459\) 1.12540 + 1.94925i 0.0525292 + 0.0909832i
\(460\) 11.2991 0.915721i 0.526824 0.0426957i
\(461\) −2.50706 7.71595i −0.116766 0.359367i 0.875546 0.483135i \(-0.160502\pi\)
−0.992311 + 0.123768i \(0.960502\pi\)
\(462\) 0.908067 2.03955i 0.0422471 0.0948885i
\(463\) −7.55748 + 10.4020i −0.351226 + 0.483421i −0.947678 0.319228i \(-0.896577\pi\)
0.596452 + 0.802649i \(0.296577\pi\)
\(464\) −9.32208 −0.432767
\(465\) −10.1379 + 7.22651i −0.470135 + 0.335121i
\(466\) 13.3127 0.616697
\(467\) −24.4874 + 33.7040i −1.13314 + 1.55964i −0.351182 + 0.936307i \(0.614220\pi\)
−0.781960 + 0.623329i \(0.785780\pi\)
\(468\) −1.59679 + 3.58645i −0.0738117 + 0.165784i
\(469\) −8.19791 25.2306i −0.378544 1.16504i
\(470\) 1.74400 + 21.5193i 0.0804448 + 0.992613i
\(471\) −0.727305 1.25973i −0.0335124 0.0580453i
\(472\) −6.53162 5.88110i −0.300642 0.270699i
\(473\) 3.61508 + 1.17461i 0.166221 + 0.0540086i
\(474\) 2.36252 + 2.62384i 0.108514 + 0.120517i
\(475\) −1.19973 21.0200i −0.0550475 0.964465i
\(476\) 5.77936 + 1.22844i 0.264897 + 0.0563055i
\(477\) −8.82889 0.927954i −0.404247 0.0424881i
\(478\) −9.35518 + 0.983269i −0.427896 + 0.0449737i
\(479\) 2.26134 0.480663i 0.103323 0.0219620i −0.155960 0.987763i \(-0.549847\pi\)
0.259283 + 0.965801i \(0.416514\pi\)
\(480\) 0.741508 2.10954i 0.0338451 0.0962870i
\(481\) 1.33275 0.968302i 0.0607683 0.0441508i
\(482\) −4.26282 20.0550i −0.194166 0.913480i
\(483\) 13.2353 1.39109i 0.602228 0.0632967i
\(484\) −1.07421 + 10.2204i −0.0488275 + 0.464563i
\(485\) −7.19479 17.2561i −0.326698 0.783558i
\(486\) 0.913545 0.406737i 0.0414393 0.0184499i
\(487\) 11.7816 10.6082i 0.533877 0.480705i −0.357534 0.933900i \(-0.616383\pi\)
0.891411 + 0.453195i \(0.149716\pi\)
\(488\) −10.3589 3.36581i −0.468925 0.152363i
\(489\) 0.162270 0.180219i 0.00733808 0.00814977i
\(490\) −0.104497 + 0.220401i −0.00472070 + 0.00995672i
\(491\) −11.1928 + 19.3864i −0.505122 + 0.874897i 0.494861 + 0.868972i \(0.335219\pi\)
−0.999982 + 0.00592423i \(0.998114\pi\)
\(492\) 11.5034 3.73769i 0.518615 0.168508i
\(493\) 8.53421 19.1681i 0.384361 0.863290i
\(494\) 13.3740 + 9.71680i 0.601726 + 0.437180i
\(495\) 1.56476 1.08080i 0.0703308 0.0485784i
\(496\) 0.0824687 + 5.56715i 0.00370295 + 0.249973i
\(497\) 23.8219i 1.06856i
\(498\) −9.81875 + 13.5143i −0.439989 + 0.605592i
\(499\) −22.3947 9.97075i −1.00252 0.446352i −0.161222 0.986918i \(-0.551543\pi\)
−0.841302 + 0.540566i \(0.818210\pi\)
\(500\) 9.49179 5.90812i 0.424486 0.264219i
\(501\) −0.273699 + 0.474061i −0.0122280 + 0.0211795i
\(502\) −13.1564 + 7.59586i −0.587199 + 0.339020i
\(503\) 3.33825 + 3.00578i 0.148845 + 0.134021i 0.740189 0.672398i \(-0.234736\pi\)
−0.591344 + 0.806419i \(0.701402\pi\)
\(504\) 0.811187 2.49658i 0.0361331 0.111206i
\(505\) −26.6689 6.33705i −1.18675 0.281995i
\(506\) 3.93892 1.75372i 0.175106 0.0779624i
\(507\) 0.501564 2.35967i 0.0222753 0.104797i
\(508\) 14.9144 + 1.56757i 0.661721 + 0.0695497i
\(509\) 4.12672 + 39.2631i 0.182913 + 1.74031i 0.573025 + 0.819538i \(0.305770\pi\)
−0.390112 + 0.920767i \(0.627564\pi\)
\(510\) 3.65882 + 3.45595i 0.162015 + 0.153032i
\(511\) −7.17225 + 5.21095i −0.317282 + 0.230519i
\(512\) −0.587785 0.809017i −0.0259767 0.0357538i
\(513\) −0.875485 4.11883i −0.0386536 0.181851i
\(514\) −3.28685 31.2723i −0.144977 1.37936i
\(515\) 22.6996 12.3934i 1.00026 0.546117i
\(516\) 4.37169 + 0.929232i 0.192453 + 0.0409071i
\(517\) 3.33999 + 7.50173i 0.146892 + 0.329926i
\(518\) −0.818595 + 0.737066i −0.0359670 + 0.0323848i
\(519\) −4.61492 + 14.2033i −0.202573 + 0.623455i
\(520\) −1.12557 + 8.70604i −0.0493594 + 0.381785i
\(521\) 0.863173 + 1.49506i 0.0378163 + 0.0654997i 0.884314 0.466892i \(-0.154626\pi\)
−0.846498 + 0.532392i \(0.821293\pi\)
\(522\) −8.07316 4.66104i −0.353353 0.204008i
\(523\) −6.68781 + 2.17300i −0.292438 + 0.0950187i −0.451562 0.892240i \(-0.649133\pi\)
0.159124 + 0.987259i \(0.449133\pi\)
\(524\) −11.5299 5.13345i −0.503687 0.224256i
\(525\) 10.9744 7.19969i 0.478962 0.314220i
\(526\) −13.0070 −0.567134
\(527\) −11.5227 4.92706i −0.501938 0.214626i
\(528\) 0.850484i 0.0370126i
\(529\) 2.18576 + 1.58805i 0.0950330 + 0.0690455i
\(530\) −19.5099 + 3.66292i −0.847455 + 0.159107i
\(531\) −2.71600 8.35899i −0.117864 0.362749i
\(532\) −9.57279 5.52686i −0.415033 0.239620i
\(533\) −41.1232 + 23.7425i −1.78124 + 1.02840i
\(534\) −2.39463 + 2.65951i −0.103626 + 0.115088i
\(535\) −4.09301 + 1.22277i −0.176956 + 0.0528650i
\(536\) −6.76228 7.51028i −0.292086 0.324395i
\(537\) −3.71474 8.34344i −0.160303 0.360046i
\(538\) 3.14940 14.8168i 0.135780 0.638796i
\(539\) −0.00969753 + 0.0922658i −0.000417702 + 0.00397417i
\(540\) 1.69694 1.45616i 0.0730245 0.0626633i
\(541\) −20.7081 + 4.40164i −0.890310 + 0.189241i −0.630288 0.776361i \(-0.717063\pi\)
−0.260022 + 0.965603i \(0.583730\pi\)
\(542\) 9.90220 + 13.6292i 0.425336 + 0.585424i
\(543\) −9.14587 12.5882i −0.392487 0.540212i
\(544\) 2.20162 0.467968i 0.0943935 0.0200640i
\(545\) 12.7347 + 14.8403i 0.545493 + 0.635689i
\(546\) −1.07723 + 10.2491i −0.0461011 + 0.438623i
\(547\) 7.67350 36.1010i 0.328095 1.54357i −0.436887 0.899516i \(-0.643919\pi\)
0.764983 0.644051i \(-0.222748\pi\)
\(548\) −1.95537 4.39184i −0.0835293 0.187610i
\(549\) −7.28817 8.09433i −0.311051 0.345457i
\(550\) 2.66072 3.31717i 0.113454 0.141445i
\(551\) −26.2660 + 29.1713i −1.11897 + 1.24274i
\(552\) 4.39048 2.53484i 0.186871 0.107890i
\(553\) 8.02663 + 4.63418i 0.341327 + 0.197065i
\(554\) 0.230984 + 0.710894i 0.00981355 + 0.0302030i
\(555\) −0.922189 + 0.173138i −0.0391447 + 0.00734931i
\(556\) −10.0265 7.28465i −0.425216 0.308938i
\(557\) 0.603986i 0.0255917i −0.999918 0.0127959i \(-0.995927\pi\)
0.999918 0.0127959i \(-0.00407316\pi\)
\(558\) −2.71216 + 4.86253i −0.114815 + 0.205847i
\(559\) −17.5461 −0.742120
\(560\) 0.139999 5.86813i 0.00591604 0.247974i
\(561\) 1.74877 + 0.778603i 0.0738332 + 0.0328727i
\(562\) 0.329613 0.107098i 0.0139039 0.00451765i
\(563\) −20.2240 11.6764i −0.852342 0.492100i 0.00909846 0.999959i \(-0.497104\pi\)
−0.861440 + 0.507859i \(0.830437\pi\)
\(564\) 4.82765 + 8.36173i 0.203281 + 0.352092i
\(565\) −24.0269 3.10634i −1.01082 0.130685i
\(566\) 3.55349 10.9365i 0.149364 0.459696i
\(567\) 1.95080 1.75650i 0.0819257 0.0737663i
\(568\) 3.69106 + 8.29025i 0.154873 + 0.347851i
\(569\) −13.6749 2.90668i −0.573280 0.121855i −0.0878561 0.996133i \(-0.528002\pi\)
−0.485424 + 0.874279i \(0.661335\pi\)
\(570\) −4.51205 8.26424i −0.188989 0.346151i
\(571\) 3.75794 + 35.7544i 0.157265 + 1.49628i 0.733890 + 0.679268i \(0.237703\pi\)
−0.576625 + 0.817009i \(0.695631\pi\)
\(572\) 0.694192 + 3.26592i 0.0290256 + 0.136555i
\(573\) −15.6042 21.4774i −0.651876 0.897231i
\(574\) 25.6872 18.6629i 1.07217 0.778973i
\(575\) 25.0545 + 3.84881i 1.04485 + 0.160507i
\(576\) −0.104528 0.994522i −0.00435535 0.0414384i
\(577\) −6.90141 0.725367i −0.287309 0.0301974i −0.0402225 0.999191i \(-0.512807\pi\)
−0.247087 + 0.968993i \(0.579473\pi\)
\(578\) 2.48120 11.6731i 0.103204 0.485537i
\(579\) 20.1641 8.97766i 0.837993 0.373099i
\(580\) −20.2801 4.81895i −0.842087 0.200096i
\(581\) −13.5506 + 41.7044i −0.562173 + 1.73019i
\(582\) −6.21348 5.59464i −0.257557 0.231905i
\(583\) −6.53866 + 3.77510i −0.270803 + 0.156348i
\(584\) −1.68861 + 2.92476i −0.0698752 + 0.121027i
\(585\) −5.32779 + 6.97686i −0.220277 + 0.288458i
\(586\) 28.7699 + 12.8092i 1.18847 + 0.529143i
\(587\) 25.4027 34.9638i 1.04848 1.44311i 0.158364 0.987381i \(-0.449378\pi\)
0.890118 0.455730i \(-0.150622\pi\)
\(588\) 0.109084i 0.00449854i
\(589\) 17.6535 + 15.4280i 0.727400 + 0.635699i
\(590\) −11.1693 16.1707i −0.459834 0.665739i
\(591\) −0.661268 0.480439i −0.0272009 0.0197626i
\(592\) −0.170675 + 0.383343i −0.00701471 + 0.0157553i
\(593\) −24.4087 + 7.93085i −1.00234 + 0.325681i −0.763802 0.645451i \(-0.776669\pi\)
−0.238542 + 0.971132i \(0.576669\pi\)
\(594\) 0.425242 0.736540i 0.0174479 0.0302206i
\(595\) 11.9379 + 5.66004i 0.489408 + 0.232039i
\(596\) 11.3588 12.6152i 0.465273 0.516738i
\(597\) 16.9065 + 5.49326i 0.691937 + 0.224824i
\(598\) −14.7907 + 13.3176i −0.604838 + 0.544599i
\(599\) 3.81298 1.69765i 0.155794 0.0693639i −0.327358 0.944900i \(-0.606158\pi\)
0.483152 + 0.875536i \(0.339492\pi\)
\(600\) 2.70365 4.20598i 0.110376 0.171708i
\(601\) −1.22943 + 11.6972i −0.0501493 + 0.477139i 0.940409 + 0.340046i \(0.110443\pi\)
−0.990558 + 0.137093i \(0.956224\pi\)
\(602\) 11.6680 1.22636i 0.475554 0.0499827i
\(603\) −2.10117 9.88523i −0.0855663 0.402558i
\(604\) 5.72908 4.16242i 0.233113 0.169366i
\(605\) −7.62024 + 21.6791i −0.309807 + 0.881380i
\(606\) −11.9909 + 2.54875i −0.487098 + 0.103536i
\(607\) 17.7563 1.86626i 0.720706 0.0757493i 0.262928 0.964816i \(-0.415312\pi\)
0.457779 + 0.889066i \(0.348645\pi\)
\(608\) −4.18778 0.440154i −0.169837 0.0178506i
\(609\) −23.9362 5.08780i −0.969945 0.206168i
\(610\) −20.7958 12.6772i −0.841998 0.513286i
\(611\) −25.3636 28.1692i −1.02610 1.13960i
\(612\) 2.14064 + 0.695536i 0.0865302 + 0.0281154i
\(613\) 25.6121 + 23.0612i 1.03446 + 0.931434i 0.997693 0.0678901i \(-0.0216267\pi\)
0.0367691 + 0.999324i \(0.488293\pi\)
\(614\) 10.3558 + 17.9368i 0.417926 + 0.723870i
\(615\) 26.9578 2.18476i 1.08704 0.0880979i
\(616\) −0.689901 2.12330i −0.0277969 0.0855501i
\(617\) 10.5195 23.6272i 0.423500 0.951196i −0.568232 0.822868i \(-0.692372\pi\)
0.991732 0.128327i \(-0.0409609\pi\)
\(618\) 6.79836 9.35714i 0.273470 0.376399i
\(619\) 40.2236 1.61672 0.808362 0.588685i \(-0.200354\pi\)
0.808362 + 0.588685i \(0.200354\pi\)
\(620\) −2.69847 + 12.1539i −0.108373 + 0.488114i
\(621\) 5.06969 0.203440
\(622\) −7.24529 + 9.97228i −0.290510 + 0.399852i
\(623\) −3.82103 + 8.58216i −0.153086 + 0.343837i
\(624\) 1.21316 + 3.73372i 0.0485652 + 0.149468i
\(625\) 23.7035 7.94639i 0.948139 0.317856i
\(626\) 0.612580 + 1.06102i 0.0244836 + 0.0424069i
\(627\) −2.66139 2.39633i −0.106286 0.0957002i
\(628\) −1.38342 0.449499i −0.0552043 0.0179370i
\(629\) −0.631983 0.701888i −0.0251988 0.0279861i
\(630\) 3.05531 5.01195i 0.121726 0.199681i
\(631\) −30.9144 6.57106i −1.23068 0.261590i −0.453724 0.891142i \(-0.649905\pi\)
−0.776958 + 0.629552i \(0.783238\pi\)
\(632\) 3.51139 + 0.369062i 0.139675 + 0.0146805i
\(633\) −17.1714 + 1.80479i −0.682503 + 0.0717339i
\(634\) −3.23340 + 0.687281i −0.128415 + 0.0272954i
\(635\) 31.6359 + 11.1201i 1.25543 + 0.441287i
\(636\) −7.18207 + 5.21808i −0.284788 + 0.206910i
\(637\) −0.0890378 0.418890i −0.00352781 0.0165970i
\(638\) −7.88485 + 0.828731i −0.312164 + 0.0328098i
\(639\) −0.948576 + 9.02510i −0.0375251 + 0.357027i
\(640\) −0.860511 2.06386i −0.0340147 0.0815813i
\(641\) 33.9669 15.1230i 1.34161 0.597324i 0.394697 0.918811i \(-0.370850\pi\)
0.946914 + 0.321488i \(0.104183\pi\)
\(642\) −1.41969 + 1.27830i −0.0560309 + 0.0504504i
\(643\) −23.6343 7.67926i −0.932047 0.302840i −0.196647 0.980474i \(-0.563005\pi\)
−0.735399 + 0.677634i \(0.763005\pi\)
\(644\) 8.90493 9.88993i 0.350904 0.389718i
\(645\) 9.03023 + 4.28143i 0.355565 + 0.168581i
\(646\) 4.73889 8.20800i 0.186449 0.322939i
\(647\) 0.285148 0.0926502i 0.0112103 0.00364246i −0.303406 0.952861i \(-0.598124\pi\)
0.314617 + 0.949219i \(0.398124\pi\)
\(648\) 0.406737 0.913545i 0.0159781 0.0358875i
\(649\) −6.04743 4.39372i −0.237383 0.172469i
\(650\) −6.94915 + 18.3581i −0.272568 + 0.720063i
\(651\) −2.82669 + 14.3397i −0.110787 + 0.562019i
\(652\) 0.242508i 0.00949735i
\(653\) −0.555573 + 0.764680i −0.0217412 + 0.0299243i −0.819749 0.572723i \(-0.805887\pi\)
0.798008 + 0.602647i \(0.205887\pi\)
\(654\) 7.98928 + 3.55706i 0.312406 + 0.139092i
\(655\) −22.4296 17.1281i −0.876397 0.669249i
\(656\) 6.04772 10.4750i 0.236124 0.408978i
\(657\) −2.92476 + 1.68861i −0.114106 + 0.0658790i
\(658\) 18.8355 + 16.9596i 0.734285 + 0.661153i
\(659\) 10.8902 33.5166i 0.424222 1.30562i −0.479515 0.877534i \(-0.659187\pi\)
0.903737 0.428088i \(-0.140813\pi\)
\(660\) 0.439648 1.85022i 0.0171133 0.0720198i
\(661\) 30.8099 13.7175i 1.19837 0.533548i 0.292155 0.956371i \(-0.405628\pi\)
0.906212 + 0.422823i \(0.138961\pi\)
\(662\) 0.832582 3.91699i 0.0323592 0.152238i
\(663\) −8.78793 0.923648i −0.341295 0.0358715i
\(664\) 1.74611 + 16.6131i 0.0677623 + 0.644715i
\(665\) −17.9685 16.9722i −0.696789 0.658153i
\(666\) −0.339481 + 0.246647i −0.0131546 + 0.00955738i
\(667\) −27.7788 38.2342i −1.07560 1.48043i
\(668\) 0.113811 + 0.535436i 0.00440346 + 0.0207167i
\(669\) −0.303544 2.88803i −0.0117357 0.111658i
\(670\) −10.8290 19.8343i −0.418359 0.766264i
\(671\) −9.06103 1.92598i −0.349797 0.0743517i
\(672\) −1.06771 2.39811i −0.0411877 0.0925090i
\(673\) 31.0136 27.9248i 1.19549 1.07642i 0.200168 0.979762i \(-0.435851\pi\)
0.995318 0.0966585i \(-0.0308155\pi\)
\(674\) −4.21713 + 12.9790i −0.162438 + 0.499933i
\(675\) 4.44442 2.29066i 0.171066 0.0881676i
\(676\) −1.20620 2.08919i −0.0463921 0.0803535i
\(677\) 33.0029 + 19.0542i 1.26840 + 0.732313i 0.974686 0.223580i \(-0.0717743\pi\)
0.293717 + 0.955892i \(0.405108\pi\)
\(678\) −10.3043 + 3.34807i −0.395734 + 0.128582i
\(679\) −20.0507 8.92716i −0.769476 0.342593i
\(680\) 5.03151 + 0.120039i 0.192950 + 0.00460330i
\(681\) 12.2746 0.470365
\(682\) 0.564673 + 4.70150i 0.0216224 + 0.180030i
\(683\) 0.381710i 0.0146057i 0.999973 + 0.00730286i \(0.00232459\pi\)
−0.999973 + 0.00730286i \(0.997675\pi\)
\(684\) −3.40665 2.47507i −0.130256 0.0946368i
\(685\) −1.98359 10.5652i −0.0757890 0.403676i
\(686\) 5.76679 + 17.7484i 0.220177 + 0.677636i
\(687\) 2.55728 + 1.47645i 0.0975665 + 0.0563300i
\(688\) 3.87058 2.23468i 0.147564 0.0851963i
\(689\) 23.3205 25.9000i 0.888440 0.986713i
\(690\) 10.8618 3.24493i 0.413502 0.123532i
\(691\) 15.2975 + 16.9896i 0.581946 + 0.646317i 0.960176 0.279395i \(-0.0901339\pi\)
−0.378230 + 0.925712i \(0.623467\pi\)
\(692\) 6.07429 + 13.6431i 0.230910 + 0.518632i
\(693\) 0.464177 2.18378i 0.0176326 0.0829549i
\(694\) −3.23111 + 30.7420i −0.122651 + 1.16695i
\(695\) −18.0468 21.0308i −0.684553 0.797743i
\(696\) −9.11837 + 1.93817i −0.345631 + 0.0734661i
\(697\) 16.0021 + 22.0250i 0.606123 + 0.834257i
\(698\) 4.63661 + 6.38174i 0.175498 + 0.241552i
\(699\) 13.0217 2.76786i 0.492528 0.104690i
\(700\) 3.33803 12.6937i 0.126166 0.479777i
\(701\) −4.76515 + 45.3373i −0.179977 + 1.71237i 0.415999 + 0.909365i \(0.363432\pi\)
−0.595976 + 0.803002i \(0.703235\pi\)
\(702\) −0.816233 + 3.84007i −0.0308067 + 0.144934i
\(703\) 0.718688 + 1.61420i 0.0271058 + 0.0608807i
\(704\) −0.569085 0.632033i −0.0214482 0.0238206i
\(705\) 6.18001 + 20.6865i 0.232753 + 0.779098i
\(706\) 4.85415 5.39107i 0.182688 0.202896i
\(707\) −27.8687 + 16.0900i −1.04811 + 0.605127i
\(708\) −7.61164 4.39458i −0.286063 0.165158i
\(709\) −0.0612120 0.188391i −0.00229887 0.00707518i 0.949901 0.312552i \(-0.101184\pi\)
−0.952199 + 0.305477i \(0.901184\pi\)
\(710\) 3.74432 + 19.9434i 0.140522 + 0.748464i
\(711\) 2.85642 + 2.07531i 0.107124 + 0.0778302i
\(712\) 3.57872i 0.134118i
\(713\) −22.5877 + 16.9277i −0.845917 + 0.633949i
\(714\) 5.90848 0.221119
\(715\) −0.178069 + 7.46384i −0.00665939 + 0.279132i
\(716\) −8.34344 3.71474i −0.311809 0.138826i
\(717\) −8.94632 + 2.90683i −0.334106 + 0.108558i
\(718\) 6.26768 + 3.61865i 0.233908 + 0.135047i
\(719\) −8.30522 14.3851i −0.309732 0.536472i 0.668571 0.743648i \(-0.266906\pi\)
−0.978304 + 0.207176i \(0.933573\pi\)
\(720\) 0.286706 2.21761i 0.0106849 0.0826455i
\(721\) 9.38223 28.8755i 0.349413 1.07538i
\(722\) 0.942868 0.848962i 0.0350899 0.0315951i
\(723\) −8.33934 18.7305i −0.310143 0.696593i
\(724\) −15.2199 3.23508i −0.565641 0.120231i
\(725\) −41.6282 20.9672i −1.54603 0.778701i
\(726\) 1.07421 + 10.2204i 0.0398675 + 0.379314i
\(727\) 6.17499 + 29.0510i 0.229018 + 1.07744i 0.930935 + 0.365185i \(0.118994\pi\)
−0.701917 + 0.712258i \(0.747672\pi\)
\(728\) 6.05748 + 8.33741i 0.224505 + 0.309005i
\(729\) 0.809017 0.587785i 0.0299636 0.0217698i
\(730\) −5.18548 + 5.48989i −0.191923 + 0.203190i
\(731\) 1.05152 + 10.0045i 0.0388918 + 0.370031i
\(732\) −10.8323 1.13852i −0.400374 0.0420810i
\(733\) −0.556907 + 2.62004i −0.0205698 + 0.0967735i −0.987235 0.159270i \(-0.949086\pi\)
0.966665 + 0.256044i \(0.0824192\pi\)
\(734\) −1.46125 + 0.650590i −0.0539357 + 0.0240137i
\(735\) −0.0563897 + 0.237311i −0.00207996 + 0.00875336i
\(736\) 1.56662 4.82156i 0.0577464 0.177725i
\(737\) −6.38737 5.75121i −0.235282 0.211849i
\(738\) 10.4750 6.04772i 0.385588 0.222620i
\(739\) 10.1549 17.5889i 0.373555 0.647016i −0.616555 0.787312i \(-0.711472\pi\)
0.990110 + 0.140296i \(0.0448053\pi\)
\(740\) −0.569468 + 0.745732i −0.0209341 + 0.0274136i
\(741\) 15.1020 + 6.72385i 0.554786 + 0.247007i
\(742\) −13.6977 + 18.8533i −0.502860 + 0.692127i
\(743\) 4.37599i 0.160539i 0.996773 + 0.0802697i \(0.0255782\pi\)
−0.996773 + 0.0802697i \(0.974422\pi\)
\(744\) 1.23814 + 5.42835i 0.0453925 + 0.199013i
\(745\) 31.2322 21.5724i 1.14426 0.790353i
\(746\) −0.223941 0.162703i −0.00819906 0.00595697i
\(747\) −6.79440 + 15.2605i −0.248594 + 0.558351i
\(748\) 1.82058 0.591542i 0.0665669 0.0216289i
\(749\) −2.50744 + 4.34301i −0.0916197 + 0.158690i
\(750\) 8.05601 7.75246i 0.294164 0.283080i
\(751\) 16.9700 18.8471i 0.619246 0.687742i −0.349177 0.937057i \(-0.613539\pi\)
0.968422 + 0.249315i \(0.0802054\pi\)
\(752\) 9.18273 + 2.98365i 0.334860 + 0.108803i
\(753\) −11.2896 + 10.1652i −0.411418 + 0.370442i
\(754\) 33.4332 14.8854i 1.21757 0.542095i
\(755\) 14.6153 6.09374i 0.531905 0.221774i
\(756\) 0.274393 2.61068i 0.00997958 0.0949493i
\(757\) 38.8937 4.08790i 1.41362 0.148577i 0.633273 0.773928i \(-0.281711\pi\)
0.780344 + 0.625351i \(0.215044\pi\)
\(758\) −1.75204 8.24272i −0.0636371 0.299389i
\(759\) 3.48823 2.53435i 0.126615 0.0919909i
\(760\) −8.88296 3.12238i −0.322219 0.113261i
\(761\) −24.3205 + 5.16948i −0.881617 + 0.187393i −0.626411 0.779493i \(-0.715477\pi\)
−0.255206 + 0.966887i \(0.582143\pi\)
\(762\) 14.9144 1.56757i 0.540293 0.0567871i
\(763\) 22.8313 + 2.39967i 0.826548 + 0.0868737i
\(764\) −25.9674 5.51954i −0.939467 0.199690i
\(765\) 4.29740 + 2.61971i 0.155373 + 0.0947159i
\(766\) 13.3209 + 14.7943i 0.481303 + 0.534541i
\(767\) 32.8162 + 10.6626i 1.18493 + 0.385006i
\(768\) −0.743145 0.669131i −0.0268159 0.0241452i
\(769\) −26.2490 45.4646i −0.946564 1.63950i −0.752590 0.658490i \(-0.771196\pi\)
−0.193974 0.981007i \(-0.562138\pi\)
\(770\) −0.403261 4.97586i −0.0145325 0.179317i
\(771\) −9.71690 29.9056i −0.349946 1.07702i
\(772\) 8.97766 20.1641i 0.323113 0.725723i
\(773\) −18.1889 + 25.0349i −0.654211 + 0.900444i −0.999273 0.0381362i \(-0.987858\pi\)
0.345062 + 0.938580i \(0.387858\pi\)
\(774\) 4.46936 0.160648
\(775\) −12.1533 + 25.0459i −0.436561 + 0.899675i
\(776\) −8.36106 −0.300145
\(777\) −0.647462 + 0.891155i −0.0232276 + 0.0319700i
\(778\) −0.960890 + 2.15820i −0.0344496 + 0.0773751i
\(779\) −15.7389 48.4392i −0.563903 1.73552i
\(780\) 0.709115 + 8.74981i 0.0253904 + 0.313293i
\(781\) 3.85899 + 6.68396i 0.138085 + 0.239171i
\(782\) 8.47992 + 7.63536i 0.303241 + 0.273040i
\(783\) −8.86583 2.88068i −0.316839 0.102947i
\(784\) 0.0729914 + 0.0810651i 0.00260683 + 0.00289518i
\(785\) −2.77725 1.69302i −0.0991243 0.0604266i
\(786\) −12.3453 2.62407i −0.440341 0.0935974i
\(787\) −22.4824 2.36299i −0.801410 0.0842315i −0.305036 0.952341i \(-0.598669\pi\)
−0.496373 + 0.868109i \(0.665335\pi\)
\(788\) −0.812894 + 0.0854386i −0.0289581 + 0.00304362i
\(789\) −12.7228 + 2.70431i −0.452944 + 0.0962761i
\(790\) 7.44822 + 2.61806i 0.264996 + 0.0931465i
\(791\) −23.0096 + 16.7174i −0.818126 + 0.594403i
\(792\) −0.176825 0.831899i −0.00628322 0.0295602i
\(793\) 42.5262 4.46968i 1.51015 0.158723i
\(794\) 1.16094 11.0456i 0.0412004 0.391995i
\(795\) −18.3220 + 7.63921i −0.649813 + 0.270935i
\(796\) 16.2397 7.23037i 0.575600 0.256274i
\(797\) −19.4814 + 17.5411i −0.690065 + 0.621338i −0.937671 0.347523i \(-0.887023\pi\)
0.247606 + 0.968861i \(0.420356\pi\)
\(798\) −10.5127 3.41578i −0.372146 0.120917i
\(799\) −14.5416 + 16.1501i −0.514446 + 0.571350i
\(800\) −0.805147 4.93475i −0.0284662 0.174470i
\(801\) −1.78936 + 3.09927i −0.0632240 + 0.109507i
\(802\) −18.2240 + 5.92135i −0.643513 + 0.209090i
\(803\) −1.16826 + 2.62395i −0.0412269 + 0.0925972i
\(804\) −8.17599 5.94020i −0.288345 0.209495i
\(805\) 24.4851 16.9122i 0.862987 0.596076i
\(806\) −9.18536 19.8347i −0.323540 0.698646i
\(807\) 15.1478i 0.533227i
\(808\) −7.20554 + 9.91758i −0.253490 + 0.348899i
\(809\) 2.70581 + 1.20471i 0.0951313 + 0.0423552i 0.453751 0.891129i \(-0.350086\pi\)
−0.358619 + 0.933484i \(0.616752\pi\)
\(810\) 1.35710 1.77715i 0.0476836 0.0624429i
\(811\) 13.3628 23.1450i 0.469230 0.812730i −0.530151 0.847903i \(-0.677865\pi\)
0.999381 + 0.0351729i \(0.0111982\pi\)
\(812\) −21.1925 + 12.2355i −0.743711 + 0.429382i
\(813\) 12.5195 + 11.2726i 0.439077 + 0.395347i
\(814\) −0.110282 + 0.339414i −0.00386539 + 0.0118964i
\(815\) 0.125362 0.527575i 0.00439123 0.0184801i
\(816\) 2.05621 0.915483i 0.0719817 0.0320483i
\(817\) 3.91285 18.4085i 0.136893 0.644033i
\(818\) 23.5646 + 2.47674i 0.823917 + 0.0865972i
\(819\) 1.07723 + 10.2491i 0.0376414 + 0.358134i
\(820\) 18.5717 19.6619i 0.648551 0.686623i
\(821\) 1.76630 1.28329i 0.0616444 0.0447873i −0.556536 0.830823i \(-0.687870\pi\)
0.618181 + 0.786036i \(0.287870\pi\)
\(822\) −2.82576 3.88932i −0.0985596 0.135656i
\(823\) −6.08982 28.6504i −0.212278 0.998689i −0.947226 0.320566i \(-0.896127\pi\)
0.734948 0.678123i \(-0.237206\pi\)
\(824\) −1.20898 11.5027i −0.0421169 0.400715i
\(825\) 1.91290 3.79788i 0.0665987 0.132225i
\(826\) −22.5679 4.79695i −0.785236 0.166907i
\(827\) 18.2824 + 41.0631i 0.635743 + 1.42790i 0.887818 + 0.460195i \(0.152220\pi\)
−0.252075 + 0.967708i \(0.581113\pi\)
\(828\) 3.76751 3.39228i 0.130930 0.117890i
\(829\) 8.24425 25.3732i 0.286335 0.881247i −0.699661 0.714475i \(-0.746666\pi\)
0.985995 0.166772i \(-0.0533344\pi\)
\(830\) −4.78932 + 37.0444i −0.166240 + 1.28583i
\(831\) 0.373739 + 0.647335i 0.0129649 + 0.0224558i
\(832\) 3.39990 + 1.96293i 0.117870 + 0.0680524i
\(833\) −0.233509 + 0.0758717i −0.00809061 + 0.00262880i
\(834\) −11.3219 5.04084i −0.392046 0.174550i
\(835\) −0.0291938 + 1.22367i −0.00101029 + 0.0423469i
\(836\) −3.58126 −0.123860
\(837\) −1.64191 + 5.32016i −0.0567528 + 0.183892i
\(838\) 25.3093i 0.874296i
\(839\) 30.9887 + 22.5146i 1.06985 + 0.777290i 0.975885 0.218286i \(-0.0700465\pi\)
0.0939628 + 0.995576i \(0.470047\pi\)
\(840\) −1.08311 5.76901i −0.0373710 0.199050i
\(841\) 17.8925 + 55.0673i 0.616981 + 1.89887i
\(842\) −17.7172 10.2290i −0.610575 0.352516i
\(843\) 0.300144 0.173288i 0.0103375 0.00596836i
\(844\) −11.5532 + 12.8311i −0.397678 + 0.441666i
\(845\) −1.54409 5.16855i −0.0531182 0.177804i
\(846\) 6.46065 + 7.17528i 0.222122 + 0.246691i
\(847\) 10.9725 + 24.6446i 0.377019 + 0.846798i
\(848\) −1.84574 + 8.68353i −0.0633830 + 0.298194i
\(849\) 1.20201 11.4363i 0.0412528 0.392494i
\(850\) 10.8840 + 2.86213i 0.373317 + 0.0981702i
\(851\) −2.08086 + 0.442301i −0.0713310 + 0.0151619i
\(852\) 5.33404 + 7.34167i 0.182741 + 0.251522i
\(853\) −12.3123 16.9464i −0.421564 0.580233i 0.544427 0.838808i \(-0.316747\pi\)
−0.965991 + 0.258575i \(0.916747\pi\)
\(854\) −27.9673 + 5.94463i −0.957021 + 0.203421i
\(855\) −6.13168 7.14554i −0.209699 0.244372i
\(856\) −0.199690 + 1.89992i −0.00682526 + 0.0649380i
\(857\) 5.50710 25.9089i 0.188119 0.885029i −0.778267 0.627933i \(-0.783901\pi\)
0.966386 0.257096i \(-0.0827657\pi\)
\(858\) 1.35805 + 3.05022i 0.0463629 + 0.104133i
\(859\) 31.3418 + 34.8086i 1.06937 + 1.18765i 0.981488 + 0.191523i \(0.0613426\pi\)
0.0878802 + 0.996131i \(0.471991\pi\)
\(860\) 9.57561 2.86068i 0.326526 0.0975483i
\(861\) 21.2457 23.5957i 0.724051 0.804140i
\(862\) 25.6671 14.8189i 0.874224 0.504733i
\(863\) 23.0184 + 13.2897i 0.783557 + 0.452387i 0.837689 0.546147i \(-0.183906\pi\)
−0.0541326 + 0.998534i \(0.517239\pi\)
\(864\) −0.309017 0.951057i −0.0105130 0.0323556i
\(865\) 6.16194 + 32.8205i 0.209512 + 1.11593i
\(866\) 30.4036 + 22.0895i 1.03316 + 0.750632i
\(867\) 11.9339i 0.405296i
\(868\) 7.49452 + 12.5479i 0.254381 + 0.425904i
\(869\) 3.00283 0.101864
\(870\) −20.8389 0.497164i −0.706504 0.0168554i
\(871\) 36.2450 + 16.1373i 1.22811 + 0.546791i
\(872\) 8.31733 2.70247i 0.281660 0.0915170i
\(873\) −7.24089 4.18053i −0.245067 0.141490i
\(874\) −10.6738 18.4876i −0.361048 0.625354i
\(875\) 13.8237 25.8895i 0.467328 0.875226i
\(876\) −1.04362 + 3.21193i −0.0352606 + 0.108521i
\(877\) 13.9323 12.5447i 0.470459 0.423603i −0.399495 0.916735i \(-0.630815\pi\)
0.869955 + 0.493132i \(0.164148\pi\)
\(878\) −3.94007 8.84954i −0.132971 0.298657i
\(879\) 30.8044 + 6.54768i 1.03901 + 0.220848i
\(880\) −0.911318 1.66916i −0.0307205 0.0562675i
\(881\) 3.15372 + 30.0057i 0.106252 + 1.01092i 0.909622 + 0.415437i \(0.136371\pi\)
−0.803370 + 0.595480i \(0.796962\pi\)
\(882\) 0.0226798 + 0.106700i 0.000763669 + 0.00359278i
\(883\) −14.3256 19.7174i −0.482093 0.663544i 0.496812 0.867858i \(-0.334504\pi\)
−0.978905 + 0.204314i \(0.934504\pi\)
\(884\) −7.14874 + 5.19387i −0.240438 + 0.174689i
\(885\) −14.2873 13.4951i −0.480264 0.453634i
\(886\) 1.43220 + 13.6265i 0.0481157 + 0.457790i
\(887\) 41.0057 + 4.30987i 1.37684 + 0.144711i 0.763855 0.645387i \(-0.223304\pi\)
0.612980 + 0.790099i \(0.289971\pi\)
\(888\) −0.0872441 + 0.410451i −0.00292772 + 0.0137738i
\(889\) 35.9634 16.0119i 1.20617 0.537023i
\(890\) −1.84998 + 7.78549i −0.0620115 + 0.260970i
\(891\) 0.262814 0.808858i 0.00880460 0.0270978i
\(892\) −2.15805 1.94311i −0.0722567 0.0650602i
\(893\) 35.2100 20.3285i 1.17826 0.680267i
\(894\) 8.48769 14.7011i 0.283871 0.491679i
\(895\) −16.2308 12.3944i −0.542536 0.414300i
\(896\) −2.39811 1.06771i −0.0801151 0.0356696i
\(897\) −11.6986 + 16.1018i −0.390606 + 0.537623i
\(898\) 6.56849i 0.219193i
\(899\) 49.1199 16.7684i 1.63824 0.559256i
\(900\) 1.77010 4.67619i 0.0590032 0.155873i
\(901\) −16.1654 11.7449i −0.538548 0.391278i
\(902\) 4.18409 9.39761i 0.139315 0.312906i
\(903\) 11.1581 3.62548i 0.371318 0.120649i
\(904\) −5.41729 + 9.38302i −0.180176 + 0.312075i
\(905\) −31.4384 14.9056i −1.04505 0.495480i
\(906\) 4.73847 5.26260i 0.157425 0.174838i
\(907\) −9.46014 3.07379i −0.314119 0.102063i 0.147715 0.989030i \(-0.452808\pi\)
−0.461834 + 0.886967i \(0.652808\pi\)
\(908\) 9.12183 8.21333i 0.302719 0.272569i
\(909\) −11.1990 + 4.98610i −0.371446 + 0.165379i
\(910\) 8.86809 + 21.2693i 0.293974 + 0.705072i
\(911\) −3.25598 + 30.9786i −0.107876 + 1.02637i 0.797952 + 0.602721i \(0.205917\pi\)
−0.905828 + 0.423646i \(0.860750\pi\)
\(912\) −4.18778 + 0.440154i −0.138671 + 0.0145749i
\(913\) 2.95381 + 13.8966i 0.0977568 + 0.459910i
\(914\) 14.1116 10.2527i 0.466770 0.339128i
\(915\) −22.9771 8.07650i −0.759600 0.267001i
\(916\) 2.88837 0.613942i 0.0954344 0.0202852i
\(917\) −32.9495 + 3.46313i −1.08809 + 0.114363i
\(918\) 2.23847 + 0.235273i 0.0738805 + 0.00776516i
\(919\) −0.794932 0.168968i −0.0262224 0.00557374i 0.194782 0.980847i \(-0.437600\pi\)
−0.221004 + 0.975273i \(0.570933\pi\)
\(920\) 5.90062 9.67943i 0.194538 0.319121i
\(921\) 13.8588 + 15.3917i 0.456662 + 0.507175i
\(922\) −7.71595 2.50706i −0.254111 0.0825657i
\(923\) −26.4756 23.8387i −0.871455 0.784662i
\(924\) −1.11628 1.93346i −0.0367230 0.0636061i
\(925\) −1.62437 + 1.32795i −0.0534090 + 0.0436629i
\(926\) 3.97320 + 12.2283i 0.130568 + 0.401846i
\(927\) 4.70434 10.5661i 0.154511 0.347037i
\(928\) −5.47938 + 7.54172i −0.179870 + 0.247569i
\(929\) −15.9058 −0.521854 −0.260927 0.965359i \(-0.584028\pi\)
−0.260927 + 0.965359i \(0.584028\pi\)
\(930\) −0.112553 + 12.4494i −0.00369077 + 0.408232i
\(931\) 0.459336 0.0150541
\(932\) 7.82498 10.7702i 0.256316 0.352789i
\(933\) −5.01361 + 11.2607i −0.164138 + 0.368660i
\(934\) 12.8738 + 39.6215i 0.421243 + 1.29645i
\(935\) 4.26645 0.345768i 0.139528 0.0113078i
\(936\) 1.96293 + 3.39990i 0.0641604 + 0.111129i
\(937\) −5.18967 4.67280i −0.169539 0.152654i 0.579993 0.814621i \(-0.303055\pi\)
−0.749533 + 0.661967i \(0.769722\pi\)
\(938\) −25.2306 8.19791i −0.823808 0.267671i
\(939\) 0.819793 + 0.910472i 0.0267529 + 0.0297121i
\(940\) 18.4346 + 11.2378i 0.601271 + 0.366537i
\(941\) −6.36043 1.35195i −0.207344 0.0440724i 0.103069 0.994674i \(-0.467134\pi\)
−0.310413 + 0.950602i \(0.600467\pi\)
\(942\) −1.44664 0.152048i −0.0471341 0.00495400i
\(943\) 60.9842 6.40969i 1.98592 0.208728i
\(944\) −8.59710 + 1.82737i −0.279812 + 0.0594758i
\(945\) 1.94650 5.53766i 0.0633196 0.180140i
\(946\) 3.07517 2.23424i 0.0999823 0.0726414i
\(947\) −9.04441 42.5506i −0.293904 1.38271i −0.838907 0.544275i \(-0.816805\pi\)
0.545003 0.838434i \(-0.316528\pi\)
\(948\) 3.51139 0.369062i 0.114045 0.0119866i
\(949\) 1.38589 13.1859i 0.0449879 0.428032i
\(950\) −17.7107 11.3847i −0.574613 0.369367i
\(951\) −3.01985 + 1.34453i −0.0979254 + 0.0435992i
\(952\) 4.39085 3.95354i 0.142308 0.128135i
\(953\) 7.00295 + 2.27540i 0.226848 + 0.0737073i 0.420235 0.907415i \(-0.361948\pi\)
−0.193388 + 0.981122i \(0.561948\pi\)
\(954\) −5.94022 + 6.59729i −0.192322 + 0.213595i
\(955\) −53.6386 25.4313i −1.73571 0.822937i
\(956\) −4.70336 + 8.14645i −0.152117 + 0.263475i
\(957\) −7.54024 + 2.44997i −0.243741 + 0.0791964i
\(958\) 0.940318 2.11199i 0.0303803 0.0682353i
\(959\) −10.2097 7.41777i −0.329688 0.239532i
\(960\) −1.27081 1.83985i −0.0410151 0.0593809i
\(961\) −10.4486 29.1861i −0.337052 0.941486i
\(962\) 1.64737i 0.0531135i
\(963\) −1.12290 + 1.54554i −0.0361849 + 0.0498042i
\(964\) −18.7305 8.33934i −0.603268 0.268592i
\(965\) 29.9545 39.2261i 0.964268 1.26273i
\(966\) 6.65411 11.5253i 0.214092 0.370819i
\(967\) 6.88930 3.97754i 0.221545 0.127909i −0.385121 0.922866i \(-0.625840\pi\)
0.606665 + 0.794957i \(0.292507\pi\)
\(968\) 7.63706 + 6.87644i 0.245464 + 0.221017i
\(969\) 2.92880 9.01391i 0.0940865 0.289568i
\(970\) −18.1894 4.32216i −0.584028 0.138776i
\(971\) 37.0256 16.4848i 1.18821 0.529024i 0.285124 0.958491i \(-0.407965\pi\)
0.903083 + 0.429467i \(0.141299\pi\)
\(972\) 0.207912 0.978148i 0.00666877 0.0313741i
\(973\) −32.3551 3.40066i −1.03726 0.109020i
\(974\) −1.65717 15.7669i −0.0530991 0.505204i
\(975\) −2.98044 + 19.4017i −0.0954505 + 0.621352i
\(976\) −8.81181 + 6.40215i −0.282059 + 0.204928i
\(977\) 7.65528 + 10.5366i 0.244914 + 0.337095i 0.913722 0.406340i \(-0.133195\pi\)
−0.668808 + 0.743435i \(0.733195\pi\)
\(978\) −0.0504203 0.237209i −0.00161226 0.00758510i
\(979\) 0.318148 + 3.02697i 0.0101680 + 0.0967424i
\(980\) 0.116887 + 0.214089i 0.00373380 + 0.00683881i
\(981\) 8.55425 + 1.81826i 0.273116 + 0.0580527i
\(982\) 9.10500 + 20.4502i 0.290552 + 0.652591i
\(983\) 28.1847 25.3776i 0.898952 0.809420i −0.0833898 0.996517i \(-0.526575\pi\)
0.982341 + 0.187097i \(0.0599080\pi\)
\(984\) 3.73769 11.5034i 0.119153 0.366716i
\(985\) −1.81261 0.234345i −0.0577546 0.00746686i
\(986\) −10.4911 18.1711i −0.334104 0.578685i
\(987\) 21.9500 + 12.6728i 0.698676 + 0.403381i
\(988\) 15.7221 5.10842i 0.500187 0.162521i
\(989\) 20.6993 + 9.21594i 0.658201 + 0.293050i
\(990\) 0.0453579 1.90120i 0.00144157 0.0604240i
\(991\) −26.5290 −0.842721 −0.421361 0.906893i \(-0.638447\pi\)
−0.421361 + 0.906893i \(0.638447\pi\)
\(992\) 4.55240 + 3.20557i 0.144539 + 0.101777i
\(993\) 4.00450i 0.127079i
\(994\) 19.2723 + 14.0021i 0.611280 + 0.444121i
\(995\) 39.0670 7.33471i 1.23851 0.232526i
\(996\) 5.16202 + 15.8871i 0.163565 + 0.503401i
\(997\) −29.7726 17.1892i −0.942909 0.544388i −0.0520377 0.998645i \(-0.516572\pi\)
−0.890871 + 0.454257i \(0.849905\pi\)
\(998\) −21.2298 + 12.2570i −0.672016 + 0.387989i
\(999\) −0.280781 + 0.311839i −0.00888353 + 0.00986616i
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 930.2.bn.b.19.14 yes 144
5.4 even 2 inner 930.2.bn.b.19.8 144
31.18 even 15 inner 930.2.bn.b.49.8 yes 144
155.49 even 30 inner 930.2.bn.b.49.14 yes 144
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bn.b.19.8 144 5.4 even 2 inner
930.2.bn.b.19.14 yes 144 1.1 even 1 trivial
930.2.bn.b.49.8 yes 144 31.18 even 15 inner
930.2.bn.b.49.14 yes 144 155.49 even 30 inner