Properties

Label 570.2.bb.b.71.3
Level $570$
Weight $2$
Character 570.71
Analytic conductor $4.551$
Analytic rank $0$
Dimension $84$
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] = [570,2,Mod(41,570)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(570, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 0, 13]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("570.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bb (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: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(14\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 71.3
Character \(\chi\) \(=\) 570.71
Dual form 570.2.bb.b.281.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.939693 - 0.342020i) q^{2} +(-1.49197 - 0.879786i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.642788 + 0.766044i) q^{5} +(-1.70290 - 0.316445i) q^{6} +(-1.40312 - 2.43028i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.45195 + 2.62523i) q^{9} +O(q^{10})\) \(q+(0.939693 - 0.342020i) q^{2} +(-1.49197 - 0.879786i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.642788 + 0.766044i) q^{5} +(-1.70290 - 0.316445i) q^{6} +(-1.40312 - 2.43028i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.45195 + 2.62523i) q^{9} +(-0.342020 + 0.939693i) q^{10} +(-2.54956 - 1.47199i) q^{11} +(-1.70843 + 0.285065i) q^{12} +(-3.36962 + 0.594154i) q^{13} +(-2.14971 - 1.80382i) q^{14} +(1.63298 - 0.577400i) q^{15} +(0.173648 - 0.984808i) q^{16} +(0.0612457 + 0.168271i) q^{17} +(2.26227 + 1.97031i) q^{18} +(-4.29273 - 0.756593i) q^{19} +1.00000i q^{20} +(-0.0447097 + 4.86035i) q^{21} +(-2.89925 - 0.511216i) q^{22} +(-0.509670 - 0.607401i) q^{23} +(-1.50790 + 0.852191i) q^{24} +(-0.173648 - 0.984808i) q^{25} +(-2.96319 + 1.71080i) q^{26} +(0.143374 - 5.19417i) q^{27} +(-2.63701 - 0.959792i) q^{28} +(0.910982 + 0.331570i) q^{29} +(1.33701 - 1.10109i) q^{30} +(-6.29928 + 3.63689i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(2.50883 + 4.43923i) q^{33} +(0.115104 + 0.137176i) q^{34} +(2.76361 + 0.487299i) q^{35} +(2.79973 + 1.07775i) q^{36} -6.44330i q^{37} +(-4.29262 + 0.757237i) q^{38} +(5.55010 + 2.07808i) q^{39} +(0.342020 + 0.939693i) q^{40} +(-1.59026 + 9.01881i) q^{41} +(1.62032 + 4.58253i) q^{42} +(-8.49079 - 7.12462i) q^{43} +(-2.89925 + 0.511216i) q^{44} +(-2.94434 - 0.575206i) q^{45} +(-0.686676 - 0.396453i) q^{46} +(-0.0674464 + 0.185308i) q^{47} +(-1.12550 + 1.31653i) q^{48} +(-0.437502 + 0.757775i) q^{49} +(-0.500000 - 0.866025i) q^{50} +(0.0566659 - 0.304939i) q^{51} +(-2.19936 + 2.62110i) q^{52} +(4.35018 - 3.65024i) q^{53} +(-1.64178 - 4.92996i) q^{54} +(2.76643 - 1.00690i) q^{55} -2.80624 q^{56} +(5.73899 + 4.90550i) q^{57} +0.969446 q^{58} +(13.0683 - 4.75646i) q^{59} +(0.879786 - 1.49197i) q^{60} +(-0.563021 + 0.472431i) q^{61} +(-4.67549 + 5.57204i) q^{62} +(4.34278 - 7.21217i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.71080 - 2.96319i) q^{65} +(3.87583 + 3.31344i) q^{66} +(1.87423 - 5.14941i) q^{67} +(0.155080 + 0.0895352i) q^{68} +(0.226029 + 1.35462i) q^{69} +(2.76361 - 0.487299i) q^{70} +(7.97550 + 6.69224i) q^{71} +(2.99949 + 0.0551885i) q^{72} +(-0.0632772 + 0.358863i) q^{73} +(-2.20374 - 6.05472i) q^{74} +(-0.607343 + 1.62208i) q^{75} +(-3.77475 + 2.17973i) q^{76} +8.26151i q^{77} +(5.92613 + 0.0545136i) q^{78} +(-5.27331 - 0.929827i) q^{79} +(0.642788 + 0.766044i) q^{80} +(-4.78367 + 7.62342i) q^{81} +(1.59026 + 9.01881i) q^{82} +(11.2590 - 6.50039i) q^{83} +(3.08992 + 3.75198i) q^{84} +(-0.168271 - 0.0612457i) q^{85} +(-10.4155 - 3.79093i) q^{86} +(-1.06745 - 1.29616i) q^{87} +(-2.54956 + 1.47199i) q^{88} +(-2.29593 - 13.0209i) q^{89} +(-2.96351 + 0.466506i) q^{90} +(6.17194 + 7.35543i) q^{91} +(-0.780860 - 0.137687i) q^{92} +(12.5980 + 0.115887i) q^{93} +0.197200i q^{94} +(3.33890 - 2.80210i) q^{95} +(-0.607343 + 1.62208i) q^{96} +(3.38911 + 9.31151i) q^{97} +(-0.151943 + 0.861710i) q^{98} +(0.162474 - 8.83043i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84 q - 6 q^{6} + 42 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 84 q - 6 q^{6} + 42 q^{8} + 24 q^{13} - 24 q^{14} + 12 q^{17} - 12 q^{19} + 36 q^{22} + 24 q^{27} - 12 q^{28} - 12 q^{29} + 36 q^{33} + 12 q^{34} + 6 q^{36} + 18 q^{38} + 12 q^{39} + 6 q^{41} + 24 q^{43} + 36 q^{44} + 12 q^{47} - 12 q^{48} - 54 q^{49} - 42 q^{50} + 96 q^{51} + 12 q^{52} - 60 q^{53} - 18 q^{54} - 96 q^{57} - 24 q^{58} - 18 q^{59} - 48 q^{61} - 12 q^{62} - 114 q^{63} - 42 q^{64} - 24 q^{66} + 6 q^{67} - 54 q^{68} - 48 q^{69} + 48 q^{71} + 84 q^{73} + 24 q^{74} - 12 q^{79} - 36 q^{81} - 6 q^{82} + 36 q^{83} + 18 q^{84} + 12 q^{86} + 6 q^{87} - 12 q^{89} - 24 q^{90} + 24 q^{91} - 6 q^{93} - 12 q^{95} - 42 q^{97} + 36 q^{98} - 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{18}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 0.342020i 0.664463 0.241845i
\(3\) −1.49197 0.879786i −0.861390 0.507945i
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −0.642788 + 0.766044i −0.287463 + 0.342585i
\(6\) −1.70290 0.316445i −0.695205 0.129188i
\(7\) −1.40312 2.43028i −0.530330 0.918559i −0.999374 0.0353838i \(-0.988735\pi\)
0.469044 0.883175i \(-0.344599\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) 1.45195 + 2.62523i 0.483984 + 0.875077i
\(10\) −0.342020 + 0.939693i −0.108156 + 0.297157i
\(11\) −2.54956 1.47199i −0.768721 0.443821i 0.0636974 0.997969i \(-0.479711\pi\)
−0.832418 + 0.554148i \(0.813044\pi\)
\(12\) −1.70843 + 0.285065i −0.493182 + 0.0822911i
\(13\) −3.36962 + 0.594154i −0.934563 + 0.164789i −0.620137 0.784493i \(-0.712923\pi\)
−0.314426 + 0.949282i \(0.601812\pi\)
\(14\) −2.14971 1.80382i −0.574533 0.482091i
\(15\) 1.63298 0.577400i 0.421632 0.149084i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) 0.0612457 + 0.168271i 0.0148543 + 0.0408117i 0.946898 0.321534i \(-0.104198\pi\)
−0.932044 + 0.362345i \(0.881976\pi\)
\(18\) 2.26227 + 1.97031i 0.533222 + 0.464407i
\(19\) −4.29273 0.756593i −0.984821 0.173574i
\(20\) 1.00000i 0.223607i
\(21\) −0.0447097 + 4.86035i −0.00975645 + 1.06062i
\(22\) −2.89925 0.511216i −0.618122 0.108992i
\(23\) −0.509670 0.607401i −0.106274 0.126652i 0.710286 0.703913i \(-0.248566\pi\)
−0.816559 + 0.577262i \(0.804121\pi\)
\(24\) −1.50790 + 0.852191i −0.307799 + 0.173953i
\(25\) −0.173648 0.984808i −0.0347296 0.196962i
\(26\) −2.96319 + 1.71080i −0.581129 + 0.335515i
\(27\) 0.143374 5.19417i 0.0275923 0.999619i
\(28\) −2.63701 0.959792i −0.498347 0.181384i
\(29\) 0.910982 + 0.331570i 0.169165 + 0.0615710i 0.425214 0.905093i \(-0.360199\pi\)
−0.256049 + 0.966664i \(0.582421\pi\)
\(30\) 1.33701 1.10109i 0.244104 0.201030i
\(31\) −6.29928 + 3.63689i −1.13138 + 0.653205i −0.944282 0.329136i \(-0.893242\pi\)
−0.187101 + 0.982341i \(0.559909\pi\)
\(32\) −0.173648 0.984808i −0.0306970 0.174091i
\(33\) 2.50883 + 4.43923i 0.436731 + 0.772771i
\(34\) 0.115104 + 0.137176i 0.0197402 + 0.0235255i
\(35\) 2.76361 + 0.487299i 0.467135 + 0.0823686i
\(36\) 2.79973 + 1.07775i 0.466621 + 0.179625i
\(37\) 6.44330i 1.05927i −0.848225 0.529636i \(-0.822329\pi\)
0.848225 0.529636i \(-0.177671\pi\)
\(38\) −4.29262 + 0.757237i −0.696355 + 0.122840i
\(39\) 5.55010 + 2.07808i 0.888727 + 0.332759i
\(40\) 0.342020 + 0.939693i 0.0540781 + 0.148578i
\(41\) −1.59026 + 9.01881i −0.248357 + 1.40850i 0.564209 + 0.825632i \(0.309181\pi\)
−0.812566 + 0.582869i \(0.801930\pi\)
\(42\) 1.62032 + 4.58253i 0.250022 + 0.707099i
\(43\) −8.49079 7.12462i −1.29483 1.08649i −0.991013 0.133765i \(-0.957293\pi\)
−0.303820 0.952729i \(-0.598262\pi\)
\(44\) −2.89925 + 0.511216i −0.437078 + 0.0770687i
\(45\) −2.94434 0.575206i −0.438916 0.0857467i
\(46\) −0.686676 0.396453i −0.101245 0.0584538i
\(47\) −0.0674464 + 0.185308i −0.00983807 + 0.0270299i −0.944514 0.328470i \(-0.893467\pi\)
0.934676 + 0.355500i \(0.115689\pi\)
\(48\) −1.12550 + 1.31653i −0.162452 + 0.190025i
\(49\) −0.437502 + 0.757775i −0.0625003 + 0.108254i
\(50\) −0.500000 0.866025i −0.0707107 0.122474i
\(51\) 0.0566659 0.304939i 0.00793482 0.0427000i
\(52\) −2.19936 + 2.62110i −0.304996 + 0.363481i
\(53\) 4.35018 3.65024i 0.597544 0.501399i −0.293111 0.956078i \(-0.594691\pi\)
0.890655 + 0.454680i \(0.150246\pi\)
\(54\) −1.64178 4.92996i −0.223419 0.670883i
\(55\) 2.76643 1.00690i 0.373026 0.135770i
\(56\) −2.80624 −0.375000
\(57\) 5.73899 + 4.90550i 0.760148 + 0.649750i
\(58\) 0.969446 0.127295
\(59\) 13.0683 4.75646i 1.70134 0.619238i 0.705365 0.708844i \(-0.250783\pi\)
0.995977 + 0.0896064i \(0.0285609\pi\)
\(60\) 0.879786 1.49197i 0.113580 0.192613i
\(61\) −0.563021 + 0.472431i −0.0720874 + 0.0604885i −0.678119 0.734952i \(-0.737205\pi\)
0.606032 + 0.795440i \(0.292760\pi\)
\(62\) −4.67549 + 5.57204i −0.593788 + 0.707649i
\(63\) 4.34278 7.21217i 0.547138 0.908647i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 1.71080 2.96319i 0.212198 0.367539i
\(66\) 3.87583 + 3.31344i 0.477082 + 0.407856i
\(67\) 1.87423 5.14941i 0.228974 0.629101i −0.770996 0.636840i \(-0.780241\pi\)
0.999970 + 0.00773916i \(0.00246348\pi\)
\(68\) 0.155080 + 0.0895352i 0.0188062 + 0.0108577i
\(69\) 0.226029 + 1.35462i 0.0272107 + 0.163078i
\(70\) 2.76361 0.487299i 0.330315 0.0582434i
\(71\) 7.97550 + 6.69224i 0.946518 + 0.794223i 0.978708 0.205259i \(-0.0658036\pi\)
−0.0321896 + 0.999482i \(0.510248\pi\)
\(72\) 2.99949 + 0.0551885i 0.353494 + 0.00650403i
\(73\) −0.0632772 + 0.358863i −0.00740603 + 0.0420017i −0.988287 0.152608i \(-0.951233\pi\)
0.980881 + 0.194610i \(0.0623440\pi\)
\(74\) −2.20374 6.05472i −0.256179 0.703847i
\(75\) −0.607343 + 1.62208i −0.0701299 + 0.187301i
\(76\) −3.77475 + 2.17973i −0.432994 + 0.250032i
\(77\) 8.26151i 0.941487i
\(78\) 5.92613 + 0.0545136i 0.671002 + 0.00617245i
\(79\) −5.27331 0.929827i −0.593294 0.104614i −0.131064 0.991374i \(-0.541839\pi\)
−0.462230 + 0.886760i \(0.652950\pi\)
\(80\) 0.642788 + 0.766044i 0.0718658 + 0.0856464i
\(81\) −4.78367 + 7.62342i −0.531519 + 0.847046i
\(82\) 1.59026 + 9.01881i 0.175615 + 0.995960i
\(83\) 11.2590 6.50039i 1.23584 0.713510i 0.267596 0.963531i \(-0.413771\pi\)
0.968240 + 0.250021i \(0.0804375\pi\)
\(84\) 3.08992 + 3.75198i 0.337138 + 0.409375i
\(85\) −0.168271 0.0612457i −0.0182516 0.00664303i
\(86\) −10.4155 3.79093i −1.12313 0.408787i
\(87\) −1.06745 1.29616i −0.114442 0.138963i
\(88\) −2.54956 + 1.47199i −0.271784 + 0.156914i
\(89\) −2.29593 13.0209i −0.243368 1.38021i −0.824253 0.566222i \(-0.808405\pi\)
0.580885 0.813986i \(-0.302707\pi\)
\(90\) −2.96351 + 0.466506i −0.312381 + 0.0491741i
\(91\) 6.17194 + 7.35543i 0.646995 + 0.771059i
\(92\) −0.780860 0.137687i −0.0814102 0.0143548i
\(93\) 12.5980 + 0.115887i 1.30635 + 0.0120170i
\(94\) 0.197200i 0.0203396i
\(95\) 3.33890 2.80210i 0.342564 0.287489i
\(96\) −0.607343 + 1.62208i −0.0619866 + 0.165553i
\(97\) 3.38911 + 9.31151i 0.344112 + 0.945440i 0.984188 + 0.177128i \(0.0566808\pi\)
−0.640076 + 0.768312i \(0.721097\pi\)
\(98\) −0.151943 + 0.861710i −0.0153485 + 0.0870459i
\(99\) 0.162474 8.83043i 0.0163292 0.887492i
\(100\) −0.766044 0.642788i −0.0766044 0.0642788i
\(101\) −7.59289 + 1.33883i −0.755521 + 0.133219i −0.538125 0.842865i \(-0.680867\pi\)
−0.217395 + 0.976084i \(0.569756\pi\)
\(102\) −0.0510466 0.305930i −0.00505437 0.0302915i
\(103\) −2.73049 1.57645i −0.269043 0.155332i 0.359410 0.933180i \(-0.382978\pi\)
−0.628453 + 0.777848i \(0.716311\pi\)
\(104\) −1.17026 + 3.21525i −0.114753 + 0.315281i
\(105\) −3.69451 3.15842i −0.360547 0.308231i
\(106\) 2.83938 4.91795i 0.275785 0.477674i
\(107\) −4.83981 8.38280i −0.467882 0.810396i 0.531444 0.847093i \(-0.321650\pi\)
−0.999326 + 0.0366974i \(0.988316\pi\)
\(108\) −3.22892 4.07113i −0.310703 0.391744i
\(109\) 10.6759 12.7231i 1.02257 1.21865i 0.0470125 0.998894i \(-0.485030\pi\)
0.975555 0.219754i \(-0.0705256\pi\)
\(110\) 2.25522 1.89235i 0.215026 0.180429i
\(111\) −5.66872 + 9.61321i −0.538051 + 0.912445i
\(112\) −2.63701 + 0.959792i −0.249174 + 0.0906918i
\(113\) −1.29530 −0.121852 −0.0609259 0.998142i \(-0.519405\pi\)
−0.0609259 + 0.998142i \(0.519405\pi\)
\(114\) 7.07067 + 2.64681i 0.662229 + 0.247897i
\(115\) 0.792906 0.0739388
\(116\) 0.910982 0.331570i 0.0845825 0.0307855i
\(117\) −6.45231 7.98334i −0.596516 0.738060i
\(118\) 10.6533 8.93921i 0.980720 0.822921i
\(119\) 0.323011 0.384949i 0.0296103 0.0352882i
\(120\) 0.316445 1.70290i 0.0288873 0.155453i
\(121\) −1.16650 2.02044i −0.106046 0.183677i
\(122\) −0.367486 + 0.636504i −0.0332706 + 0.0576264i
\(123\) 10.3072 12.0567i 0.929373 1.08712i
\(124\) −2.48778 + 6.83512i −0.223409 + 0.613811i
\(125\) 0.866025 + 0.500000i 0.0774597 + 0.0447214i
\(126\) 1.61417 8.26254i 0.143802 0.736085i
\(127\) 18.9670 3.34439i 1.68305 0.296766i 0.751323 0.659935i \(-0.229416\pi\)
0.931723 + 0.363169i \(0.118305\pi\)
\(128\) −0.766044 0.642788i −0.0677094 0.0568149i
\(129\) 6.39987 + 18.0998i 0.563477 + 1.59360i
\(130\) 0.594154 3.36962i 0.0521108 0.295535i
\(131\) 0.673684 + 1.85093i 0.0588601 + 0.161717i 0.965637 0.259893i \(-0.0836874\pi\)
−0.906777 + 0.421610i \(0.861465\pi\)
\(132\) 4.77536 + 1.78800i 0.415641 + 0.155626i
\(133\) 4.18450 + 11.4941i 0.362842 + 0.996668i
\(134\) 5.47989i 0.473390i
\(135\) 3.88681 + 3.44858i 0.334523 + 0.296807i
\(136\) 0.176350 + 0.0310953i 0.0151219 + 0.00266640i
\(137\) −5.59120 6.66334i −0.477689 0.569287i 0.472353 0.881409i \(-0.343405\pi\)
−0.950042 + 0.312122i \(0.898960\pi\)
\(138\) 0.675707 + 1.19562i 0.0575200 + 0.101778i
\(139\) 0.188870 + 1.07114i 0.0160198 + 0.0908526i 0.991769 0.128037i \(-0.0408676\pi\)
−0.975750 + 0.218890i \(0.929757\pi\)
\(140\) 2.43028 1.40312i 0.205396 0.118585i
\(141\) 0.263659 0.217135i 0.0222041 0.0182861i
\(142\) 9.78340 + 3.56087i 0.821005 + 0.298821i
\(143\) 9.46562 + 3.44520i 0.791555 + 0.288102i
\(144\) 2.83748 0.974027i 0.236456 0.0811689i
\(145\) −0.839565 + 0.484723i −0.0697221 + 0.0402541i
\(146\) 0.0632772 + 0.358863i 0.00523686 + 0.0296997i
\(147\) 1.31942 0.745670i 0.108824 0.0615019i
\(148\) −4.14167 4.93585i −0.340443 0.405724i
\(149\) 2.34227 + 0.413006i 0.191886 + 0.0338347i 0.268765 0.963206i \(-0.413384\pi\)
−0.0768790 + 0.997040i \(0.524496\pi\)
\(150\) −0.0159322 + 1.73198i −0.00130086 + 0.141415i
\(151\) 5.17855i 0.421424i −0.977548 0.210712i \(-0.932422\pi\)
0.977548 0.210712i \(-0.0675782\pi\)
\(152\) −2.80160 + 3.33932i −0.227239 + 0.270855i
\(153\) −0.352825 + 0.405106i −0.0285242 + 0.0327508i
\(154\) 2.82560 + 7.76328i 0.227694 + 0.625583i
\(155\) 1.26308 7.16327i 0.101453 0.575368i
\(156\) 5.58738 1.97563i 0.447349 0.158177i
\(157\) −9.72181 8.15757i −0.775885 0.651045i 0.166324 0.986071i \(-0.446810\pi\)
−0.942209 + 0.335027i \(0.891255\pi\)
\(158\) −5.27331 + 0.929827i −0.419522 + 0.0739730i
\(159\) −9.70177 + 1.61881i −0.769401 + 0.128380i
\(160\) 0.866025 + 0.500000i 0.0684653 + 0.0395285i
\(161\) −0.761024 + 2.09090i −0.0599771 + 0.164786i
\(162\) −1.88782 + 8.79978i −0.148321 + 0.691376i
\(163\) −8.60944 + 14.9120i −0.674344 + 1.16800i 0.302316 + 0.953208i \(0.402240\pi\)
−0.976660 + 0.214790i \(0.931093\pi\)
\(164\) 4.57897 + 7.93100i 0.357557 + 0.619307i
\(165\) −5.01329 0.931606i −0.390284 0.0725254i
\(166\) 8.35674 9.95917i 0.648609 0.772982i
\(167\) −12.0274 + 10.0922i −0.930708 + 0.780957i −0.975944 0.218019i \(-0.930040\pi\)
0.0452362 + 0.998976i \(0.485596\pi\)
\(168\) 4.18683 + 2.46890i 0.323021 + 0.190479i
\(169\) −1.21471 + 0.442120i −0.0934396 + 0.0340092i
\(170\) −0.179070 −0.0137341
\(171\) −4.24661 12.3680i −0.324746 0.945801i
\(172\) −11.0839 −0.845143
\(173\) 12.6328 4.59796i 0.960453 0.349576i 0.186242 0.982504i \(-0.440369\pi\)
0.774211 + 0.632927i \(0.218147\pi\)
\(174\) −1.44639 0.852906i −0.109650 0.0646586i
\(175\) −2.14971 + 1.80382i −0.162503 + 0.136356i
\(176\) −1.89235 + 2.25522i −0.142641 + 0.169993i
\(177\) −23.6821 4.40078i −1.78006 0.330783i
\(178\) −6.61086 11.4503i −0.495505 0.858240i
\(179\) −7.62595 + 13.2085i −0.569990 + 0.987252i 0.426576 + 0.904452i \(0.359720\pi\)
−0.996566 + 0.0828000i \(0.973614\pi\)
\(180\) −2.62523 + 1.45195i −0.195673 + 0.108222i
\(181\) −7.89648 + 21.6954i −0.586940 + 1.61261i 0.189125 + 0.981953i \(0.439435\pi\)
−0.776065 + 0.630653i \(0.782787\pi\)
\(182\) 8.31543 + 4.80092i 0.616381 + 0.355868i
\(183\) 1.25565 0.209514i 0.0928202 0.0154877i
\(184\) −0.780860 + 0.137687i −0.0575657 + 0.0101504i
\(185\) 4.93585 + 4.14167i 0.362891 + 0.304502i
\(186\) 11.8779 4.19988i 0.870930 0.307950i
\(187\) 0.0915437 0.519170i 0.00669434 0.0379655i
\(188\) 0.0674464 + 0.185308i 0.00491904 + 0.0135149i
\(189\) −12.8245 + 6.93962i −0.932842 + 0.504783i
\(190\) 2.17917 3.77508i 0.158093 0.273873i
\(191\) 13.1408i 0.950835i 0.879760 + 0.475417i \(0.157703\pi\)
−0.879760 + 0.475417i \(0.842297\pi\)
\(192\) −0.0159322 + 1.73198i −0.00114981 + 0.124995i
\(193\) −12.3983 2.18615i −0.892448 0.157363i −0.291424 0.956594i \(-0.594129\pi\)
−0.601024 + 0.799231i \(0.705240\pi\)
\(194\) 6.36945 + 7.59081i 0.457300 + 0.544989i
\(195\) −5.15944 + 2.91585i −0.369475 + 0.208809i
\(196\) 0.151943 + 0.861710i 0.0108531 + 0.0615507i
\(197\) −5.82696 + 3.36419i −0.415153 + 0.239689i −0.693002 0.720936i \(-0.743712\pi\)
0.277848 + 0.960625i \(0.410379\pi\)
\(198\) −2.86751 8.35346i −0.203785 0.593655i
\(199\) 7.53380 + 2.74208i 0.534057 + 0.194381i 0.594949 0.803764i \(-0.297172\pi\)
−0.0608920 + 0.998144i \(0.519395\pi\)
\(200\) −0.939693 0.342020i −0.0664463 0.0241845i
\(201\) −7.32668 + 6.03384i −0.516784 + 0.425595i
\(202\) −6.67707 + 3.85501i −0.469797 + 0.271238i
\(203\) −0.472410 2.67917i −0.0331567 0.188041i
\(204\) −0.152602 0.270021i −0.0106843 0.0189052i
\(205\) −5.88661 7.01539i −0.411138 0.489976i
\(206\) −3.10499 0.547494i −0.216335 0.0381457i
\(207\) 0.854552 2.21992i 0.0593954 0.154295i
\(208\) 3.42160i 0.237245i
\(209\) 9.83088 + 8.24783i 0.680016 + 0.570514i
\(210\) −4.55194 1.70435i −0.314114 0.117611i
\(211\) −3.66588 10.0719i −0.252370 0.693380i −0.999585 0.0287981i \(-0.990832\pi\)
0.747216 0.664582i \(-0.231390\pi\)
\(212\) 0.986106 5.59249i 0.0677261 0.384094i
\(213\) −6.01147 17.0014i −0.411899 1.16491i
\(214\) −7.41502 6.22194i −0.506881 0.425323i
\(215\) 10.9156 1.92471i 0.744434 0.131264i
\(216\) −4.42660 2.72125i −0.301192 0.185158i
\(217\) 17.6773 + 10.2060i 1.20001 + 0.692828i
\(218\) 5.68054 15.6072i 0.384735 1.05705i
\(219\) 0.410130 0.479742i 0.0277140 0.0324180i
\(220\) 1.47199 2.54956i 0.0992414 0.171891i
\(221\) −0.306353 0.530620i −0.0206076 0.0356933i
\(222\) −2.03895 + 10.9723i −0.136845 + 0.736411i
\(223\) 4.96798 5.92061i 0.332681 0.396473i −0.573610 0.819129i \(-0.694457\pi\)
0.906290 + 0.422655i \(0.138902\pi\)
\(224\) −2.14971 + 1.80382i −0.143633 + 0.120523i
\(225\) 2.33322 1.88576i 0.155548 0.125717i
\(226\) −1.21719 + 0.443020i −0.0809661 + 0.0294692i
\(227\) −28.5580 −1.89546 −0.947731 0.319071i \(-0.896629\pi\)
−0.947731 + 0.319071i \(0.896629\pi\)
\(228\) 7.54952 + 0.0688810i 0.499979 + 0.00456176i
\(229\) −15.1214 −0.999251 −0.499625 0.866242i \(-0.666529\pi\)
−0.499625 + 0.866242i \(0.666529\pi\)
\(230\) 0.745088 0.271190i 0.0491296 0.0178817i
\(231\) 7.26837 12.3259i 0.478224 0.810987i
\(232\) 0.742639 0.623148i 0.0487566 0.0409117i
\(233\) −8.95592 + 10.6733i −0.586722 + 0.699228i −0.974972 0.222326i \(-0.928635\pi\)
0.388250 + 0.921554i \(0.373080\pi\)
\(234\) −8.79365 5.29506i −0.574859 0.346149i
\(235\) −0.0986001 0.170780i −0.00643196 0.0111405i
\(236\) 6.95347 12.0438i 0.452633 0.783983i
\(237\) 7.04957 + 6.02666i 0.457919 + 0.391474i
\(238\) 0.171870 0.472210i 0.0111407 0.0306088i
\(239\) 21.7776 + 12.5733i 1.40867 + 0.813299i 0.995261 0.0972441i \(-0.0310028\pi\)
0.413414 + 0.910543i \(0.364336\pi\)
\(240\) −0.285065 1.70843i −0.0184008 0.110279i
\(241\) 13.0786 2.30611i 0.842468 0.148550i 0.264273 0.964448i \(-0.414868\pi\)
0.578196 + 0.815898i \(0.303757\pi\)
\(242\) −1.78719 1.49963i −0.114885 0.0963997i
\(243\) 13.8441 7.16530i 0.888098 0.459654i
\(244\) −0.127626 + 0.723806i −0.00817045 + 0.0463369i
\(245\) −0.299269 0.822235i −0.0191196 0.0525306i
\(246\) 5.56200 14.8549i 0.354620 0.947113i
\(247\) 14.9144 0.00111801i 0.948980 7.11375e-5i
\(248\) 7.27378i 0.461885i
\(249\) −22.5171 0.207131i −1.42696 0.0131264i
\(250\) 0.984808 + 0.173648i 0.0622847 + 0.0109825i
\(251\) −15.7882 18.8156i −0.996541 1.18763i −0.982220 0.187734i \(-0.939886\pi\)
−0.0143215 0.999897i \(-0.504559\pi\)
\(252\) −1.30913 8.31632i −0.0824675 0.523879i
\(253\) 0.405346 + 2.29883i 0.0254839 + 0.144526i
\(254\) 16.6793 9.62978i 1.04655 0.604226i
\(255\) 0.197172 + 0.239419i 0.0123474 + 0.0149930i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 16.3671 + 5.95713i 1.02095 + 0.371596i 0.797628 0.603149i \(-0.206088\pi\)
0.223322 + 0.974745i \(0.428310\pi\)
\(258\) 12.2044 + 14.8194i 0.759813 + 0.922614i
\(259\) −15.6590 + 9.04073i −0.973003 + 0.561764i
\(260\) −0.594154 3.36962i −0.0368479 0.208975i
\(261\) 0.452253 + 2.87296i 0.0279937 + 0.177832i
\(262\) 1.26611 + 1.50889i 0.0782207 + 0.0932198i
\(263\) −21.6013 3.80890i −1.33199 0.234867i −0.538079 0.842895i \(-0.680850\pi\)
−0.793916 + 0.608028i \(0.791961\pi\)
\(264\) 5.09890 + 0.0469041i 0.313816 + 0.00288675i
\(265\) 5.67876i 0.348843i
\(266\) 7.86337 + 9.36977i 0.482134 + 0.574497i
\(267\) −8.03011 + 21.4467i −0.491435 + 1.31251i
\(268\) −1.87423 5.14941i −0.114487 0.314550i
\(269\) 0.185203 1.05034i 0.0112920 0.0640402i −0.978641 0.205576i \(-0.934093\pi\)
0.989933 + 0.141536i \(0.0452042\pi\)
\(270\) 4.83189 + 1.91124i 0.294059 + 0.116314i
\(271\) −20.1368 16.8968i −1.22322 1.02641i −0.998650 0.0519488i \(-0.983457\pi\)
−0.224573 0.974457i \(-0.572099\pi\)
\(272\) 0.176350 0.0310953i 0.0106928 0.00188543i
\(273\) −2.73714 16.4041i −0.165659 0.992820i
\(274\) −7.53301 4.34919i −0.455086 0.262744i
\(275\) −1.00690 + 2.76643i −0.0607183 + 0.166822i
\(276\) 1.04388 + 0.892414i 0.0628345 + 0.0537170i
\(277\) −2.17313 + 3.76397i −0.130571 + 0.226155i −0.923897 0.382642i \(-0.875014\pi\)
0.793326 + 0.608797i \(0.208348\pi\)
\(278\) 0.543830 + 0.941941i 0.0326167 + 0.0564939i
\(279\) −18.6939 11.2565i −1.11918 0.673907i
\(280\) 1.80382 2.14971i 0.107799 0.128470i
\(281\) 4.32981 3.63314i 0.258295 0.216735i −0.504439 0.863447i \(-0.668301\pi\)
0.762734 + 0.646712i \(0.223856\pi\)
\(282\) 0.173494 0.294217i 0.0103314 0.0175204i
\(283\) 23.8741 8.68946i 1.41917 0.516535i 0.485362 0.874313i \(-0.338688\pi\)
0.933806 + 0.357779i \(0.116466\pi\)
\(284\) 10.4113 0.617796
\(285\) −7.44679 + 1.24313i −0.441110 + 0.0736364i
\(286\) 10.0731 0.595635
\(287\) 24.1495 8.78971i 1.42550 0.518840i
\(288\) 2.33322 1.88576i 0.137486 0.111119i
\(289\) 12.9982 10.9068i 0.764599 0.641575i
\(290\) −0.623148 + 0.742639i −0.0365925 + 0.0436093i
\(291\) 3.13568 16.8742i 0.183817 0.989183i
\(292\) 0.182199 + 0.315579i 0.0106624 + 0.0184678i
\(293\) −15.8426 + 27.4403i −0.925537 + 1.60308i −0.134842 + 0.990867i \(0.543053\pi\)
−0.790695 + 0.612210i \(0.790281\pi\)
\(294\) 0.984815 1.15197i 0.0574356 0.0671842i
\(295\) −4.75646 + 13.0683i −0.276932 + 0.760863i
\(296\) −5.58006 3.22165i −0.324334 0.187254i
\(297\) −8.01130 + 13.0318i −0.464863 + 0.756182i
\(298\) 2.34227 0.413006i 0.135684 0.0239248i
\(299\) 2.07828 + 1.74389i 0.120190 + 0.100851i
\(300\) 0.577400 + 1.63298i 0.0333362 + 0.0942799i
\(301\) −5.40119 + 30.6317i −0.311320 + 1.76558i
\(302\) −1.77117 4.86624i −0.101919 0.280021i
\(303\) 12.5062 + 4.68262i 0.718465 + 0.269010i
\(304\) −1.49052 + 4.09614i −0.0854874 + 0.234930i
\(305\) 0.734972i 0.0420844i
\(306\) −0.192993 + 0.501348i −0.0110327 + 0.0286602i
\(307\) 12.4947 + 2.20315i 0.713111 + 0.125741i 0.518423 0.855125i \(-0.326519\pi\)
0.194688 + 0.980865i \(0.437631\pi\)
\(308\) 5.31040 + 6.32869i 0.302588 + 0.360610i
\(309\) 2.68687 + 4.75426i 0.152851 + 0.270460i
\(310\) −1.26308 7.16327i −0.0717380 0.406847i
\(311\) −17.2759 + 9.97425i −0.979627 + 0.565588i −0.902158 0.431407i \(-0.858017\pi\)
−0.0774695 + 0.996995i \(0.524684\pi\)
\(312\) 4.57472 3.76748i 0.258992 0.213292i
\(313\) −9.66646 3.51830i −0.546381 0.198866i 0.0540570 0.998538i \(-0.482785\pi\)
−0.600438 + 0.799672i \(0.705007\pi\)
\(314\) −11.9256 4.34055i −0.672999 0.244951i
\(315\) 2.73336 + 7.96265i 0.154007 + 0.448645i
\(316\) −4.63727 + 2.67733i −0.260867 + 0.150612i
\(317\) 0.657185 + 3.72708i 0.0369112 + 0.209334i 0.997685 0.0679978i \(-0.0216611\pi\)
−0.960774 + 0.277331i \(0.910550\pi\)
\(318\) −8.56302 + 4.83939i −0.480190 + 0.271379i
\(319\) −1.83453 2.18631i −0.102714 0.122410i
\(320\) 0.984808 + 0.173648i 0.0550524 + 0.00970723i
\(321\) −0.154218 + 16.7649i −0.00860760 + 0.935725i
\(322\) 2.22509i 0.123999i
\(323\) −0.135599 0.768681i −0.00754491 0.0427706i
\(324\) 1.23573 + 8.91476i 0.0686517 + 0.495265i
\(325\) 1.17026 + 3.21525i 0.0649141 + 0.178350i
\(326\) −2.99003 + 16.9573i −0.165602 + 0.939178i
\(327\) −27.1217 + 9.58991i −1.49984 + 0.530323i
\(328\) 7.01539 + 5.88661i 0.387360 + 0.325034i
\(329\) 0.544984 0.0960955i 0.0300460 0.00529791i
\(330\) −5.02958 + 0.839223i −0.276869 + 0.0461977i
\(331\) −2.66004 1.53578i −0.146209 0.0844138i 0.425111 0.905141i \(-0.360235\pi\)
−0.571320 + 0.820727i \(0.693568\pi\)
\(332\) 4.44653 12.2167i 0.244035 0.670480i
\(333\) 16.9151 9.35535i 0.926944 0.512670i
\(334\) −7.85033 + 13.5972i −0.429551 + 0.744004i
\(335\) 2.73994 + 4.74572i 0.149699 + 0.259287i
\(336\) 4.77875 + 0.888022i 0.260702 + 0.0484455i
\(337\) 19.6752 23.4480i 1.07178 1.27730i 0.112861 0.993611i \(-0.463999\pi\)
0.958918 0.283685i \(-0.0915570\pi\)
\(338\) −0.990244 + 0.830914i −0.0538622 + 0.0451958i
\(339\) 1.93255 + 1.13959i 0.104962 + 0.0618941i
\(340\) −0.168271 + 0.0612457i −0.00912578 + 0.00332151i
\(341\) 21.4138 1.15962
\(342\) −8.22060 10.1696i −0.444519 0.549912i
\(343\) −17.1882 −0.928077
\(344\) −10.4155 + 3.79093i −0.561566 + 0.204393i
\(345\) −1.18299 0.697588i −0.0636901 0.0375569i
\(346\) 10.2983 8.64134i 0.553643 0.464561i
\(347\) 21.6050 25.7478i 1.15982 1.38222i 0.249462 0.968385i \(-0.419746\pi\)
0.910354 0.413831i \(-0.135809\pi\)
\(348\) −1.65087 0.306776i −0.0884958 0.0164449i
\(349\) −11.3512 19.6609i −0.607618 1.05243i −0.991632 0.129098i \(-0.958792\pi\)
0.384014 0.923327i \(-0.374542\pi\)
\(350\) −1.40312 + 2.43028i −0.0750000 + 0.129904i
\(351\) 2.60303 + 17.5876i 0.138939 + 0.938754i
\(352\) −1.00690 + 2.76643i −0.0536679 + 0.147451i
\(353\) −23.4493 13.5385i −1.24808 0.720580i −0.277355 0.960767i \(-0.589458\pi\)
−0.970727 + 0.240187i \(0.922791\pi\)
\(354\) −23.7591 + 3.96438i −1.26278 + 0.210704i
\(355\) −10.2531 + 1.80790i −0.544179 + 0.0959534i
\(356\) −10.1284 8.49876i −0.536805 0.450433i
\(357\) −0.820595 + 0.290152i −0.0434305 + 0.0153565i
\(358\) −2.64846 + 15.0202i −0.139976 + 0.793841i
\(359\) −10.6511 29.2638i −0.562146 1.54448i −0.816484 0.577368i \(-0.804080\pi\)
0.254338 0.967115i \(-0.418142\pi\)
\(360\) −1.97031 + 2.26227i −0.103845 + 0.119232i
\(361\) 17.8551 + 6.49571i 0.939744 + 0.341879i
\(362\) 23.0878i 1.21347i
\(363\) −0.0371699 + 4.04071i −0.00195092 + 0.212082i
\(364\) 9.45596 + 1.66734i 0.495627 + 0.0873924i
\(365\) −0.234231 0.279146i −0.0122602 0.0146112i
\(366\) 1.10827 0.626336i 0.0579300 0.0327391i
\(367\) −2.97589 16.8771i −0.155340 0.880979i −0.958474 0.285180i \(-0.907947\pi\)
0.803134 0.595799i \(-0.203164\pi\)
\(368\) −0.686676 + 0.396453i −0.0357955 + 0.0206665i
\(369\) −25.9854 + 8.92007i −1.35275 + 0.464360i
\(370\) 6.05472 + 2.20374i 0.314770 + 0.114567i
\(371\) −14.9749 5.45043i −0.777460 0.282972i
\(372\) 9.72513 8.00908i 0.504225 0.415251i
\(373\) 5.84370 3.37386i 0.302575 0.174692i −0.341024 0.940055i \(-0.610774\pi\)
0.643599 + 0.765363i \(0.277440\pi\)
\(374\) −0.0915437 0.519170i −0.00473361 0.0268456i
\(375\) −0.852191 1.50790i −0.0440070 0.0778678i
\(376\) 0.126758 + 0.151064i 0.00653704 + 0.00779054i
\(377\) −3.26666 0.576001i −0.168242 0.0296655i
\(378\) −9.67756 + 10.9073i −0.497760 + 0.561013i
\(379\) 26.5182i 1.36215i 0.732214 + 0.681075i \(0.238487\pi\)
−0.732214 + 0.681075i \(0.761513\pi\)
\(380\) 0.756593 4.29273i 0.0388124 0.220213i
\(381\) −31.2405 11.6972i −1.60050 0.599263i
\(382\) 4.49442 + 12.3483i 0.229954 + 0.631795i
\(383\) −3.26632 + 18.5242i −0.166901 + 0.946542i 0.780182 + 0.625553i \(0.215127\pi\)
−0.947083 + 0.320990i \(0.895985\pi\)
\(384\) 0.577400 + 1.63298i 0.0294653 + 0.0833324i
\(385\) −6.32869 5.31040i −0.322540 0.270643i
\(386\) −12.3983 + 2.18615i −0.631056 + 0.111272i
\(387\) 6.37555 32.6349i 0.324088 1.65892i
\(388\) 8.58153 + 4.95455i 0.435661 + 0.251529i
\(389\) 4.25051 11.6782i 0.215510 0.592108i −0.784083 0.620656i \(-0.786866\pi\)
0.999592 + 0.0285485i \(0.00908850\pi\)
\(390\) −3.85100 + 4.50464i −0.195003 + 0.228101i
\(391\) 0.0709930 0.122963i 0.00359027 0.00621853i
\(392\) 0.437502 + 0.757775i 0.0220972 + 0.0382734i
\(393\) 0.623308 3.35423i 0.0314417 0.169199i
\(394\) −4.32492 + 5.15424i −0.217887 + 0.259667i
\(395\) 4.10191 3.44191i 0.206389 0.173181i
\(396\) −5.55163 6.86894i −0.278980 0.345177i
\(397\) −10.5281 + 3.83190i −0.528388 + 0.192318i −0.592419 0.805630i \(-0.701827\pi\)
0.0640302 + 0.997948i \(0.479605\pi\)
\(398\) 8.01730 0.401871
\(399\) 3.86923 20.8304i 0.193704 1.04282i
\(400\) −1.00000 −0.0500000
\(401\) 25.9263 9.43641i 1.29470 0.471232i 0.399432 0.916763i \(-0.369207\pi\)
0.895266 + 0.445531i \(0.146985\pi\)
\(402\) −4.82113 + 8.17583i −0.240456 + 0.407773i
\(403\) 19.0653 15.9977i 0.949709 0.796900i
\(404\) −4.95591 + 5.90622i −0.246566 + 0.293845i
\(405\) −2.76499 8.56474i −0.137393 0.425586i
\(406\) −1.36025 2.35602i −0.0675081 0.116928i
\(407\) −9.48445 + 16.4276i −0.470127 + 0.814284i
\(408\) −0.235752 0.201543i −0.0116714 0.00997789i
\(409\) 4.81000 13.2154i 0.237839 0.653457i −0.762143 0.647409i \(-0.775853\pi\)
0.999982 0.00604828i \(-0.00192524\pi\)
\(410\) −7.93100 4.57897i −0.391684 0.226139i
\(411\) 2.47960 + 14.8606i 0.122310 + 0.733018i
\(412\) −3.10499 + 0.547494i −0.152972 + 0.0269731i
\(413\) −29.8959 25.0856i −1.47108 1.23438i
\(414\) 0.0437593 2.37831i 0.00215065 0.116888i
\(415\) −2.25756 + 12.8033i −0.110819 + 0.628488i
\(416\) 1.17026 + 3.21525i 0.0573765 + 0.157641i
\(417\) 0.660582 1.76427i 0.0323488 0.0863966i
\(418\) 12.0589 + 4.38807i 0.589821 + 0.214627i
\(419\) 4.27639i 0.208915i −0.994529 0.104458i \(-0.966689\pi\)
0.994529 0.104458i \(-0.0333107\pi\)
\(420\) −4.86035 0.0447097i −0.237161 0.00218161i
\(421\) 13.8112 + 2.43528i 0.673115 + 0.118688i 0.499751 0.866169i \(-0.333425\pi\)
0.173365 + 0.984858i \(0.444536\pi\)
\(422\) −6.88960 8.21071i −0.335381 0.399691i
\(423\) −0.584404 + 0.0919951i −0.0284147 + 0.00447296i
\(424\) −0.986106 5.59249i −0.0478896 0.271595i
\(425\) 0.155080 0.0895352i 0.00752246 0.00434310i
\(426\) −11.4637 13.9200i −0.555420 0.674427i
\(427\) 1.93812 + 0.705420i 0.0937924 + 0.0341377i
\(428\) −9.09587 3.31063i −0.439666 0.160025i
\(429\) −11.0914 13.4679i −0.535497 0.650235i
\(430\) 9.59897 5.54197i 0.462904 0.267258i
\(431\) 1.95988 + 11.1150i 0.0944040 + 0.535392i 0.994928 + 0.100586i \(0.0320718\pi\)
−0.900524 + 0.434806i \(0.856817\pi\)
\(432\) −5.09037 1.04315i −0.244910 0.0501888i
\(433\) 11.0002 + 13.1095i 0.528634 + 0.630002i 0.962600 0.270928i \(-0.0873305\pi\)
−0.433965 + 0.900929i \(0.642886\pi\)
\(434\) 20.1019 + 3.54451i 0.964922 + 0.170142i
\(435\) 1.67906 + 0.0154454i 0.0805047 + 0.000740552i
\(436\) 16.6088i 0.795416i
\(437\) 1.72832 + 2.99302i 0.0826769 + 0.143176i
\(438\) 0.221315 0.591083i 0.0105748 0.0282430i
\(439\) 11.5054 + 31.6107i 0.549121 + 1.50870i 0.834900 + 0.550402i \(0.185525\pi\)
−0.285779 + 0.958296i \(0.592252\pi\)
\(440\) 0.511216 2.89925i 0.0243713 0.138216i
\(441\) −2.62457 0.0482901i −0.124979 0.00229953i
\(442\) −0.469361 0.393840i −0.0223252 0.0187331i
\(443\) −12.8000 + 2.25699i −0.608148 + 0.107233i −0.469237 0.883072i \(-0.655471\pi\)
−0.138910 + 0.990305i \(0.544360\pi\)
\(444\) 1.83676 + 11.0079i 0.0871685 + 0.522413i
\(445\) 11.4503 + 6.61086i 0.542798 + 0.313385i
\(446\) 2.64341 7.26270i 0.125169 0.343899i
\(447\) −3.13124 2.67689i −0.148103 0.126613i
\(448\) −1.40312 + 2.43028i −0.0662913 + 0.114820i
\(449\) 0.773141 + 1.33912i 0.0364868 + 0.0631970i 0.883692 0.468069i \(-0.155050\pi\)
−0.847205 + 0.531266i \(0.821717\pi\)
\(450\) 1.54754 2.57004i 0.0729518 0.121153i
\(451\) 17.3300 20.6531i 0.816039 0.972518i
\(452\) −0.992260 + 0.832605i −0.0466720 + 0.0391624i
\(453\) −4.55601 + 7.72624i −0.214060 + 0.363010i
\(454\) −26.8357 + 9.76741i −1.25946 + 0.458407i
\(455\) −9.60184 −0.450141
\(456\) 7.11779 2.51736i 0.333321 0.117886i
\(457\) −20.8759 −0.976535 −0.488267 0.872694i \(-0.662371\pi\)
−0.488267 + 0.872694i \(0.662371\pi\)
\(458\) −14.2095 + 5.17183i −0.663965 + 0.241664i
\(459\) 0.882811 0.293995i 0.0412061 0.0137225i
\(460\) 0.607401 0.509670i 0.0283202 0.0237635i
\(461\) −8.05570 + 9.60041i −0.375191 + 0.447136i −0.920290 0.391236i \(-0.872048\pi\)
0.545099 + 0.838372i \(0.316492\pi\)
\(462\) 2.61431 14.0685i 0.121629 0.654527i
\(463\) 3.41626 + 5.91713i 0.158767 + 0.274992i 0.934424 0.356162i \(-0.115915\pi\)
−0.775657 + 0.631154i \(0.782582\pi\)
\(464\) 0.484723 0.839565i 0.0225027 0.0389758i
\(465\) −8.18663 + 9.57615i −0.379646 + 0.444083i
\(466\) −4.76535 + 13.0927i −0.220750 + 0.606507i
\(467\) 14.4045 + 8.31642i 0.666559 + 0.384838i 0.794772 0.606909i \(-0.207591\pi\)
−0.128212 + 0.991747i \(0.540924\pi\)
\(468\) −10.0743 1.96812i −0.465687 0.0909766i
\(469\) −15.1443 + 2.67034i −0.699298 + 0.123305i
\(470\) −0.151064 0.126758i −0.00696807 0.00584690i
\(471\) 7.32773 + 20.7240i 0.337644 + 0.954910i
\(472\) 2.41492 13.6957i 0.111156 0.630394i
\(473\) 11.1604 + 30.6630i 0.513156 + 1.40989i
\(474\) 8.68567 + 3.25211i 0.398946 + 0.149374i
\(475\) 0.000326752 4.35890i 1.49924e−5 0.200000i
\(476\) 0.502515i 0.0230327i
\(477\) 15.8990 + 6.12027i 0.727964 + 0.280228i
\(478\) 24.7646 + 4.36666i 1.13270 + 0.199726i
\(479\) −4.24505 5.05905i −0.193961 0.231154i 0.660295 0.751006i \(-0.270431\pi\)
−0.854256 + 0.519853i \(0.825987\pi\)
\(480\) −0.852191 1.50790i −0.0388970 0.0688260i
\(481\) 3.82831 + 21.7114i 0.174556 + 0.989956i
\(482\) 11.5012 6.64019i 0.523863 0.302452i
\(483\) 2.97497 2.45002i 0.135366 0.111480i
\(484\) −2.19231 0.797935i −0.0996503 0.0362698i
\(485\) −9.31151 3.38911i −0.422814 0.153892i
\(486\) 10.5585 11.4681i 0.478943 0.520205i
\(487\) −7.72455 + 4.45977i −0.350033 + 0.202091i −0.664700 0.747111i \(-0.731441\pi\)
0.314667 + 0.949202i \(0.398107\pi\)
\(488\) 0.127626 + 0.723806i 0.00577738 + 0.0327651i
\(489\) 25.9644 14.6738i 1.17415 0.663571i
\(490\) −0.562442 0.670292i −0.0254085 0.0302807i
\(491\) −5.37581 0.947900i −0.242607 0.0427781i 0.0510224 0.998698i \(-0.483752\pi\)
−0.293629 + 0.955919i \(0.594863\pi\)
\(492\) 0.145906 15.8613i 0.00657796 0.715084i
\(493\) 0.173599i 0.00781851i
\(494\) 14.0146 5.10207i 0.630545 0.229553i
\(495\) 6.66007 + 5.80056i 0.299348 + 0.260716i
\(496\) 2.48778 + 6.83512i 0.111705 + 0.306906i
\(497\) 5.07341 28.7727i 0.227573 1.29063i
\(498\) −21.2300 + 7.50665i −0.951337 + 0.336381i
\(499\) 7.98337 + 6.69884i 0.357385 + 0.299881i 0.803747 0.594971i \(-0.202836\pi\)
−0.446363 + 0.894852i \(0.647281\pi\)
\(500\) 0.984808 0.173648i 0.0440419 0.00776578i
\(501\) 26.8235 4.47570i 1.19839 0.199960i
\(502\) −21.2714 12.2810i −0.949387 0.548129i
\(503\) −9.06015 + 24.8926i −0.403972 + 1.10990i 0.556334 + 0.830958i \(0.312207\pi\)
−0.960307 + 0.278946i \(0.910015\pi\)
\(504\) −4.07453 7.36704i −0.181494 0.328154i
\(505\) 3.85501 6.67707i 0.171546 0.297126i
\(506\) 1.16715 + 2.02156i 0.0518860 + 0.0898693i
\(507\) 2.20129 + 0.409060i 0.0977627 + 0.0181670i
\(508\) 12.3798 14.7537i 0.549265 0.654589i
\(509\) 25.9622 21.7849i 1.15075 0.965598i 0.151018 0.988531i \(-0.451745\pi\)
0.999737 + 0.0229330i \(0.00730043\pi\)
\(510\) 0.267168 + 0.157544i 0.0118304 + 0.00697615i
\(511\) 0.960922 0.349747i 0.0425087 0.0154719i
\(512\) −1.00000 −0.0441942
\(513\) −4.54534 + 22.1887i −0.200682 + 0.979656i
\(514\) 17.4175 0.768252
\(515\) 2.96275 1.07835i 0.130554 0.0475179i
\(516\) 16.5369 + 9.75150i 0.727997 + 0.429286i
\(517\) 0.444729 0.373172i 0.0195592 0.0164121i
\(518\) −11.6225 + 13.8512i −0.510665 + 0.608587i
\(519\) −22.8930 4.25414i −1.00489 0.186736i
\(520\) −1.71080 2.96319i −0.0750235 0.129944i
\(521\) 10.2298 17.7185i 0.448174 0.776260i −0.550093 0.835103i \(-0.685408\pi\)
0.998267 + 0.0588429i \(0.0187411\pi\)
\(522\) 1.40759 + 2.54502i 0.0616085 + 0.111393i
\(523\) −4.52671 + 12.4370i −0.197939 + 0.543834i −0.998460 0.0554708i \(-0.982334\pi\)
0.800521 + 0.599305i \(0.204556\pi\)
\(524\) 1.70583 + 0.984860i 0.0745195 + 0.0430238i
\(525\) 4.79428 0.799961i 0.209239 0.0349131i
\(526\) −21.6013 + 3.80890i −0.941862 + 0.166076i
\(527\) −0.997787 0.837243i −0.0434643 0.0364709i
\(528\) 4.80744 1.69985i 0.209217 0.0739765i
\(529\) 3.88474 22.0314i 0.168902 0.957888i
\(530\) 1.94225 + 5.33629i 0.0843660 + 0.231794i
\(531\) 31.4613 + 27.4010i 1.36530 + 1.18910i
\(532\) 10.5938 + 6.11527i 0.459299 + 0.265131i
\(533\) 31.3348i 1.35726i
\(534\) −0.210651 + 22.8997i −0.00911577 + 0.990968i
\(535\) 9.53257 + 1.68085i 0.412129 + 0.0726694i
\(536\) −3.52240 4.19784i −0.152145 0.181319i
\(537\) 22.9984 12.9975i 0.992453 0.560885i
\(538\) −0.185203 1.05034i −0.00798467 0.0452833i
\(539\) 2.23087 1.28799i 0.0960905 0.0554779i
\(540\) 5.19417 + 0.143374i 0.223522 + 0.00616983i
\(541\) 6.07530 + 2.21123i 0.261198 + 0.0950681i 0.469300 0.883039i \(-0.344506\pi\)
−0.208102 + 0.978107i \(0.566729\pi\)
\(542\) −24.7014 8.99059i −1.06102 0.386179i
\(543\) 30.8686 25.4217i 1.32470 1.09095i
\(544\) 0.155080 0.0895352i 0.00664898 0.00383879i
\(545\) 2.88409 + 16.3565i 0.123541 + 0.700634i
\(546\) −8.18260 14.4786i −0.350183 0.619628i
\(547\) 1.96092 + 2.33693i 0.0838428 + 0.0999200i 0.806335 0.591459i \(-0.201448\pi\)
−0.722492 + 0.691379i \(0.757003\pi\)
\(548\) −8.56622 1.51046i −0.365931 0.0645235i
\(549\) −2.05772 0.792113i −0.0878213 0.0338066i
\(550\) 2.94398i 0.125532i
\(551\) −3.65974 2.11258i −0.155910 0.0899991i
\(552\) 1.28615 + 0.481565i 0.0547424 + 0.0204968i
\(553\) 5.13936 + 14.1203i 0.218548 + 0.600455i
\(554\) −0.754720 + 4.28023i −0.0320650 + 0.181850i
\(555\) −3.72036 10.5217i −0.157920 0.446623i
\(556\) 0.833196 + 0.699134i 0.0353354 + 0.0296499i
\(557\) 24.3271 4.28952i 1.03077 0.181753i 0.367416 0.930057i \(-0.380243\pi\)
0.663356 + 0.748304i \(0.269131\pi\)
\(558\) −21.4165 4.18392i −0.906632 0.177120i
\(559\) 32.8438 + 18.9624i 1.38915 + 0.802024i
\(560\) 0.959792 2.63701i 0.0405586 0.111434i
\(561\) −0.593339 + 0.694047i −0.0250508 + 0.0293027i
\(562\) 2.82608 4.89492i 0.119211 0.206480i
\(563\) −8.69829 15.0659i −0.366589 0.634951i 0.622440 0.782667i \(-0.286141\pi\)
−0.989030 + 0.147716i \(0.952808\pi\)
\(564\) 0.0624030 0.335812i 0.00262764 0.0141402i
\(565\) 0.832605 0.992260i 0.0350280 0.0417447i
\(566\) 19.4623 16.3308i 0.818063 0.686437i
\(567\) 25.2391 + 0.929077i 1.05994 + 0.0390176i
\(568\) 9.78340 3.56087i 0.410502 0.149411i
\(569\) 15.6399 0.655660 0.327830 0.944737i \(-0.393683\pi\)
0.327830 + 0.944737i \(0.393683\pi\)
\(570\) −6.57252 + 3.71511i −0.275292 + 0.155609i
\(571\) −20.0758 −0.840144 −0.420072 0.907491i \(-0.637995\pi\)
−0.420072 + 0.907491i \(0.637995\pi\)
\(572\) 9.46562 3.44520i 0.395777 0.144051i
\(573\) 11.5611 19.6057i 0.482972 0.819039i
\(574\) 19.6869 16.5193i 0.821715 0.689500i
\(575\) −0.509670 + 0.607401i −0.0212547 + 0.0253304i
\(576\) 1.54754 2.57004i 0.0644809 0.107085i
\(577\) 14.5779 + 25.2497i 0.606887 + 1.05116i 0.991750 + 0.128185i \(0.0409152\pi\)
−0.384864 + 0.922973i \(0.625751\pi\)
\(578\) 8.48397 14.6947i 0.352887 0.611217i
\(579\) 16.5745 + 14.1695i 0.688814 + 0.588865i
\(580\) −0.331570 + 0.910982i −0.0137677 + 0.0378264i
\(581\) −31.5955 18.2417i −1.31080 0.756792i
\(582\) −2.82473 16.9290i −0.117089 0.701730i
\(583\) −16.4641 + 2.90307i −0.681875 + 0.120233i
\(584\) 0.279146 + 0.234231i 0.0115511 + 0.00969255i
\(585\) 10.2631 + 0.188833i 0.424325 + 0.00780727i
\(586\) −5.50209 + 31.2039i −0.227289 + 1.28902i
\(587\) −4.05379 11.1377i −0.167318 0.459702i 0.827489 0.561482i \(-0.189769\pi\)
−0.994807 + 0.101780i \(0.967546\pi\)
\(588\) 0.531427 1.41932i 0.0219157 0.0585319i
\(589\) 29.7928 10.8462i 1.22759 0.446910i
\(590\) 13.9069i 0.572540i
\(591\) 11.6534 + 0.107198i 0.479358 + 0.00440954i
\(592\) −6.34541 1.11887i −0.260795 0.0459851i
\(593\) 4.57942 + 5.45754i 0.188054 + 0.224114i 0.851831 0.523816i \(-0.175492\pi\)
−0.663777 + 0.747930i \(0.731048\pi\)
\(594\) −3.07102 + 14.9859i −0.126006 + 0.614880i
\(595\) 0.0872609 + 0.494881i 0.00357735 + 0.0202881i
\(596\) 2.05976 1.18920i 0.0843710 0.0487116i
\(597\) −8.82776 10.7192i −0.361296 0.438709i
\(598\) 2.54939 + 0.927902i 0.104252 + 0.0379447i
\(599\) 15.8651 + 5.77443i 0.648232 + 0.235937i 0.645147 0.764058i \(-0.276796\pi\)
0.00308427 + 0.999995i \(0.499018\pi\)
\(600\) 1.10109 + 1.33701i 0.0449518 + 0.0545833i
\(601\) 25.5919 14.7755i 1.04392 0.602705i 0.122976 0.992410i \(-0.460756\pi\)
0.920940 + 0.389704i \(0.127423\pi\)
\(602\) 5.40119 + 30.6317i 0.220136 + 1.24845i
\(603\) 16.2397 2.55640i 0.661331 0.104105i
\(604\) −3.32871 3.96700i −0.135443 0.161415i
\(605\) 2.29756 + 0.405122i 0.0934092 + 0.0164706i
\(606\) 13.3536 + 0.122838i 0.542452 + 0.00498994i
\(607\) 18.8869i 0.766596i −0.923625 0.383298i \(-0.874788\pi\)
0.923625 0.383298i \(-0.125212\pi\)
\(608\) 0.000326752 4.35890i 1.32516e−5 0.176777i
\(609\) −1.65228 + 4.41287i −0.0669536 + 0.178818i
\(610\) −0.251375 0.690647i −0.0101779 0.0279635i
\(611\) 0.117167 0.664489i 0.00474008 0.0268823i
\(612\) −0.00988263 + 0.537120i −0.000399481 + 0.0217118i
\(613\) 14.1014 + 11.8325i 0.569551 + 0.477910i 0.881497 0.472190i \(-0.156536\pi\)
−0.311946 + 0.950100i \(0.600981\pi\)
\(614\) 12.4947 2.20315i 0.504245 0.0889121i
\(615\) 2.61060 + 15.6457i 0.105270 + 0.630896i
\(616\) 7.15468 + 4.13076i 0.288270 + 0.166433i
\(617\) −0.676460 + 1.85856i −0.0272333 + 0.0748228i −0.952564 0.304338i \(-0.901565\pi\)
0.925331 + 0.379160i \(0.123787\pi\)
\(618\) 4.15088 + 3.54858i 0.166973 + 0.142745i
\(619\) 11.7377 20.3303i 0.471779 0.817145i −0.527700 0.849431i \(-0.676945\pi\)
0.999479 + 0.0322857i \(0.0102786\pi\)
\(620\) −3.63689 6.29928i −0.146061 0.252985i
\(621\) −3.22802 + 2.56023i −0.129536 + 0.102738i
\(622\) −12.8227 + 15.2814i −0.514141 + 0.612730i
\(623\) −28.4228 + 23.8496i −1.13874 + 0.955513i
\(624\) 3.01027 5.10492i 0.120507 0.204360i
\(625\) −0.939693 + 0.342020i −0.0375877 + 0.0136808i
\(626\) −10.2868 −0.411145
\(627\) −7.41105 20.9546i −0.295969 0.836846i
\(628\) −12.6909 −0.506423
\(629\) 1.08422 0.394624i 0.0432307 0.0157347i
\(630\) 5.29190 + 6.54758i 0.210834 + 0.260862i
\(631\) 29.0205 24.3511i 1.15529 0.969402i 0.155458 0.987843i \(-0.450315\pi\)
0.999830 + 0.0184410i \(0.00587028\pi\)
\(632\) −3.44191 + 4.10191i −0.136912 + 0.163165i
\(633\) −3.39176 + 18.2522i −0.134810 + 0.725460i
\(634\) 1.89229 + 3.27754i 0.0751524 + 0.130168i
\(635\) −9.62978 + 16.6793i −0.382146 + 0.661897i
\(636\) −6.39144 + 7.47626i −0.253437 + 0.296453i
\(637\) 1.02398 2.81336i 0.0405715 0.111469i
\(638\) −2.47166 1.42701i −0.0978539 0.0564960i
\(639\) −5.98864 + 30.6543i −0.236907 + 1.21267i
\(640\) 0.984808 0.173648i 0.0389279 0.00686405i
\(641\) 24.5465 + 20.5970i 0.969530 + 0.813532i 0.982477 0.186384i \(-0.0596769\pi\)
−0.0129474 + 0.999916i \(0.504121\pi\)
\(642\) 5.58901 + 15.8066i 0.220581 + 0.623836i
\(643\) −1.49452 + 8.47583i −0.0589380 + 0.334254i −0.999992 0.00400231i \(-0.998726\pi\)
0.941054 + 0.338256i \(0.109837\pi\)
\(644\) 0.761024 + 2.09090i 0.0299886 + 0.0823929i
\(645\) −17.9790 6.73175i −0.707923 0.265062i
\(646\) −0.390326 0.675947i −0.0153572 0.0265948i
\(647\) 1.68767i 0.0663490i −0.999450 0.0331745i \(-0.989438\pi\)
0.999450 0.0331745i \(-0.0105617\pi\)
\(648\) 4.21023 + 7.95449i 0.165394 + 0.312482i
\(649\) −40.3197 7.10946i −1.58269 0.279071i
\(650\) 2.19936 + 2.62110i 0.0862660 + 0.102808i
\(651\) −17.3949 30.7793i −0.681761 1.20634i
\(652\) 2.99003 + 16.9573i 0.117099 + 0.664099i
\(653\) 11.2100 6.47211i 0.438682 0.253273i −0.264356 0.964425i \(-0.585159\pi\)
0.703038 + 0.711152i \(0.251826\pi\)
\(654\) −22.2062 + 18.2877i −0.868329 + 0.715108i
\(655\) −1.85093 0.673684i −0.0723219 0.0263230i
\(656\) 8.60564 + 3.13220i 0.335994 + 0.122292i
\(657\) −1.03397 + 0.354934i −0.0403391 + 0.0138473i
\(658\) 0.479251 0.276696i 0.0186832 0.0107867i
\(659\) −5.64156 31.9949i −0.219764 1.24634i −0.872446 0.488711i \(-0.837467\pi\)
0.652682 0.757632i \(-0.273644\pi\)
\(660\) −4.43923 + 2.50883i −0.172797 + 0.0976561i
\(661\) −19.3267 23.0326i −0.751720 0.895866i 0.245574 0.969378i \(-0.421024\pi\)
−0.997294 + 0.0735123i \(0.976579\pi\)
\(662\) −3.02489 0.533369i −0.117566 0.0207300i
\(663\) −0.00976178 + 1.06119i −0.000379116 + 0.0412134i
\(664\) 13.0008i 0.504528i
\(665\) −11.4948 4.18277i −0.445748 0.162201i
\(666\) 12.6953 14.5765i 0.491933 0.564827i
\(667\) −0.262904 0.722322i −0.0101797 0.0279684i
\(668\) −2.72639 + 15.4621i −0.105487 + 0.598248i
\(669\) −12.6209 + 4.46261i −0.487954 + 0.172534i
\(670\) 4.19784 + 3.52240i 0.162177 + 0.136082i
\(671\) 2.13087 0.375729i 0.0822612 0.0145049i
\(672\) 4.79428 0.799961i 0.184943 0.0308592i
\(673\) −38.3746 22.1556i −1.47923 0.854035i −0.479508 0.877537i \(-0.659185\pi\)
−0.999724 + 0.0235022i \(0.992518\pi\)
\(674\) 10.4690 28.7633i 0.403250 1.10792i
\(675\) −5.14016 + 0.760763i −0.197845 + 0.0292818i
\(676\) −0.646336 + 1.11949i −0.0248591 + 0.0430572i
\(677\) 10.9227 + 18.9187i 0.419793 + 0.727103i 0.995918 0.0902585i \(-0.0287693\pi\)
−0.576125 + 0.817361i \(0.695436\pi\)
\(678\) 2.20577 + 0.409892i 0.0847121 + 0.0157418i
\(679\) 17.8742 21.3017i 0.685950 0.817483i
\(680\) −0.137176 + 0.115104i −0.00526046 + 0.00441405i
\(681\) 42.6077 + 25.1249i 1.63273 + 0.962790i
\(682\) 20.1224 7.32396i 0.770527 0.280449i
\(683\) 2.28287 0.0873516 0.0436758 0.999046i \(-0.486093\pi\)
0.0436758 + 0.999046i \(0.486093\pi\)
\(684\) −11.2031 6.74473i −0.428360 0.257891i
\(685\) 8.69837 0.332348
\(686\) −16.1517 + 5.87872i −0.616673 + 0.224451i
\(687\) 22.5607 + 13.3036i 0.860744 + 0.507564i
\(688\) −8.49079 + 7.12462i −0.323708 + 0.271624i
\(689\) −12.4896 + 14.8846i −0.475817 + 0.567057i
\(690\) −1.35024 0.250911i −0.0514027 0.00955202i
\(691\) −13.8739 24.0303i −0.527788 0.914155i −0.999475 0.0323896i \(-0.989688\pi\)
0.471687 0.881766i \(-0.343645\pi\)
\(692\) 6.72177 11.6424i 0.255523 0.442579i
\(693\) −21.6884 + 11.9953i −0.823873 + 0.455664i
\(694\) 11.4958 31.5844i 0.436373 1.19893i
\(695\) −0.941941 0.543830i −0.0357299 0.0206286i
\(696\) −1.65623 + 0.276355i −0.0627793 + 0.0104752i
\(697\) −1.61500 + 0.284768i −0.0611725 + 0.0107864i
\(698\) −17.3911 14.5929i −0.658263 0.552349i
\(699\) 22.7522 8.04488i 0.860565 0.304285i
\(700\) −0.487299 + 2.76361i −0.0184182 + 0.104455i
\(701\) 3.37874 + 9.28302i 0.127613 + 0.350615i 0.987002 0.160708i \(-0.0513778\pi\)
−0.859389 + 0.511323i \(0.829156\pi\)
\(702\) 8.46134 + 15.6366i 0.319353 + 0.590166i
\(703\) −4.87495 + 27.6594i −0.183862 + 1.04319i
\(704\) 2.94398i 0.110955i
\(705\) −0.00314184 + 0.341546i −0.000118328 + 0.0128634i
\(706\) −26.6656 4.70186i −1.00357 0.176957i
\(707\) 13.9075 + 16.5743i 0.523045 + 0.623340i
\(708\) −20.9703 + 11.8514i −0.788113 + 0.445402i
\(709\) 1.06981 + 6.06722i 0.0401777 + 0.227859i 0.998284 0.0585526i \(-0.0186485\pi\)
−0.958107 + 0.286412i \(0.907537\pi\)
\(710\) −9.01643 + 5.20564i −0.338381 + 0.195364i
\(711\) −5.21558 15.1937i −0.195600 0.569809i
\(712\) −12.4244 4.52209i −0.465622 0.169473i
\(713\) 5.41960 + 1.97257i 0.202966 + 0.0738735i
\(714\) −0.671869 + 0.553314i −0.0251441 + 0.0207073i
\(715\) −8.72356 + 5.03655i −0.326243 + 0.188356i
\(716\) 2.64846 + 15.0202i 0.0989777 + 0.561331i
\(717\) −21.4297 37.9186i −0.800307 1.41610i
\(718\) −20.0176 23.8561i −0.747050 0.890300i
\(719\) 45.4518 + 8.01438i 1.69507 + 0.298886i 0.935967 0.352088i \(-0.114528\pi\)
0.759100 + 0.650974i \(0.225639\pi\)
\(720\) −1.07775 + 2.79973i −0.0401653 + 0.104340i
\(721\) 8.84779i 0.329509i
\(722\) 19.0000 0.00284856i 0.707107 0.000106012i
\(723\) −21.5418 8.06574i −0.801149 0.299968i
\(724\) 7.89648 + 21.6954i 0.293470 + 0.806303i
\(725\) 0.168343 0.954718i 0.00625209 0.0354573i
\(726\) 1.34708 + 3.80974i 0.0499947 + 0.141393i
\(727\) −38.7414 32.5079i −1.43684 1.20565i −0.941528 0.336934i \(-0.890610\pi\)
−0.495310 0.868716i \(-0.664946\pi\)
\(728\) 9.45596 1.66734i 0.350461 0.0617958i
\(729\) −26.9589 1.48942i −0.998477 0.0551636i
\(730\) −0.315579 0.182199i −0.0116801 0.00674350i
\(731\) 0.678844 1.86511i 0.0251079 0.0689835i
\(732\) 0.827209 0.967613i 0.0305745 0.0357640i
\(733\) −9.55223 + 16.5449i −0.352820 + 0.611101i −0.986742 0.162295i \(-0.948110\pi\)
0.633923 + 0.773396i \(0.281444\pi\)
\(734\) −8.56874 14.8415i −0.316278 0.547809i
\(735\) −0.276890 + 1.49004i −0.0102133 + 0.0549610i
\(736\) −0.509670 + 0.607401i −0.0187867 + 0.0223891i
\(737\) −12.3583 + 10.3699i −0.455225 + 0.381979i
\(738\) −21.3675 + 17.2697i −0.786547 + 0.635705i
\(739\) −32.6058 + 11.8675i −1.19942 + 0.436554i −0.863023 0.505165i \(-0.831432\pi\)
−0.336400 + 0.941719i \(0.609209\pi\)
\(740\) 6.44330 0.236860
\(741\) −22.2528 13.1198i −0.817478 0.481968i
\(742\) −15.9360 −0.585028
\(743\) 4.24197 1.54395i 0.155623 0.0566421i −0.263034 0.964787i \(-0.584723\pi\)
0.418657 + 0.908144i \(0.362501\pi\)
\(744\) 6.39937 10.8523i 0.234612 0.397863i
\(745\) −1.82196 + 1.52881i −0.0667516 + 0.0560112i
\(746\) 4.33735 5.16906i 0.158802 0.189253i
\(747\) 33.4126 + 20.1192i 1.22250 + 0.736124i
\(748\) −0.263590 0.456550i −0.00963779 0.0166931i
\(749\) −13.5817 + 23.5242i −0.496264 + 0.859555i
\(750\) −1.31653 1.12550i −0.0480729 0.0410974i
\(751\) 9.49119 26.0768i 0.346339 0.951557i −0.637174 0.770720i \(-0.719897\pi\)
0.983513 0.180838i \(-0.0578809\pi\)
\(752\) 0.170780 + 0.0986001i 0.00622772 + 0.00359558i
\(753\) 7.00177 + 41.9626i 0.255159 + 1.52920i
\(754\) −3.26666 + 0.576001i −0.118965 + 0.0209767i
\(755\) 3.96700 + 3.32871i 0.144374 + 0.121144i
\(756\) −5.36340 + 13.5595i −0.195065 + 0.493153i
\(757\) −1.17463 + 6.66166i −0.0426927 + 0.242122i −0.998685 0.0512701i \(-0.983673\pi\)
0.955992 + 0.293392i \(0.0947842\pi\)
\(758\) 9.06976 + 24.9190i 0.329429 + 0.905098i
\(759\) 1.41772 3.78641i 0.0514599 0.137438i
\(760\) −0.757237 4.29262i −0.0274679 0.155710i
\(761\) 32.9367i 1.19395i −0.802259 0.596977i \(-0.796368\pi\)
0.802259 0.596977i \(-0.203632\pi\)
\(762\) −33.3571 0.306848i −1.20840 0.0111159i
\(763\) −45.9002 8.09345i −1.66170 0.293002i
\(764\) 8.44674 + 10.0664i 0.305592 + 0.364191i
\(765\) −0.0835375 0.530676i −0.00302030 0.0191866i
\(766\) 3.26632 + 18.5242i 0.118017 + 0.669307i
\(767\) −41.2089 + 23.7920i −1.48797 + 0.859079i
\(768\) 1.10109 + 1.33701i 0.0397321 + 0.0482453i
\(769\) 20.4283 + 7.43530i 0.736664 + 0.268124i 0.682983 0.730434i \(-0.260682\pi\)
0.0536813 + 0.998558i \(0.482904\pi\)
\(770\) −7.76328 2.82560i −0.279769 0.101828i
\(771\) −19.1782 23.2874i −0.690686 0.838675i
\(772\) −10.9029 + 6.29477i −0.392403 + 0.226554i
\(773\) 6.43318 + 36.4844i 0.231386 + 1.31225i 0.850094 + 0.526632i \(0.176545\pi\)
−0.618708 + 0.785621i \(0.712344\pi\)
\(774\) −5.17073 32.8473i −0.185858 1.18067i
\(775\) 4.67549 + 5.57204i 0.167949 + 0.200153i
\(776\) 9.75856 + 1.72070i 0.350312 + 0.0617694i
\(777\) 31.3167 + 0.288078i 1.12348 + 0.0103347i
\(778\) 12.4277i 0.445554i
\(779\) 13.6501 37.5122i 0.489066 1.34401i
\(780\) −2.07808 + 5.55010i −0.0744073 + 0.198725i
\(781\) −10.4831 28.8021i −0.375115 1.03062i
\(782\) 0.0246556 0.139829i 0.000881682 0.00500027i
\(783\) 1.85284 4.68426i 0.0662152 0.167402i
\(784\) 0.670292 + 0.562442i 0.0239390 + 0.0200872i
\(785\) 12.4981 2.20376i 0.446077 0.0786554i
\(786\) −0.561498 3.36513i −0.0200280 0.120030i
\(787\) −30.6109 17.6732i −1.09116 0.629982i −0.157276 0.987555i \(-0.550271\pi\)
−0.933885 + 0.357572i \(0.883605\pi\)
\(788\) −2.30124 + 6.32262i −0.0819784 + 0.225234i
\(789\) 28.8775 + 24.6873i 1.02807 + 0.878891i
\(790\) 2.67733 4.63727i 0.0952551 0.164987i
\(791\) 1.81747 + 3.14795i 0.0646217 + 0.111928i
\(792\) −7.56614 4.55592i −0.268851 0.161888i
\(793\) 1.61647 1.92643i 0.0574024 0.0684096i
\(794\) −8.58256 + 7.20162i −0.304584 + 0.255576i
\(795\) 4.99610 8.47254i 0.177193 0.300490i
\(796\) 7.53380 2.74208i 0.267028 0.0971904i
\(797\) −33.2298 −1.17706 −0.588530 0.808475i \(-0.700293\pi\)
−0.588530 + 0.808475i \(0.700293\pi\)
\(798\) −3.48851 20.8975i −0.123492 0.739763i
\(799\) −0.0353127 −0.00124927
\(800\) −0.939693 + 0.342020i −0.0332232 + 0.0120922i
\(801\) 30.8492 24.9330i 1.09000 0.880964i
\(802\) 21.1353 17.7346i 0.746314 0.626232i
\(803\) 0.689570 0.821798i 0.0243344 0.0290006i
\(804\) −1.73408 + 9.33169i −0.0611564 + 0.329103i
\(805\) −1.11254 1.92698i −0.0392120 0.0679172i
\(806\) 12.4440 21.5536i 0.438320 0.759193i
\(807\) −1.20039 + 1.40413i −0.0422558 + 0.0494279i
\(808\) −2.63698 + 7.24505i −0.0927687 + 0.254880i
\(809\) −43.3260 25.0143i −1.52326 0.879455i −0.999621 0.0275152i \(-0.991241\pi\)
−0.523640 0.851940i \(-0.675426\pi\)
\(810\) −5.52755 7.10254i −0.194218 0.249558i
\(811\) −52.4680 + 9.25152i −1.84240 + 0.324865i −0.982595 0.185759i \(-0.940526\pi\)
−0.859804 + 0.510623i \(0.829415\pi\)
\(812\) −2.08403 1.74871i −0.0731350 0.0613675i
\(813\) 15.1779 + 42.9256i 0.532314 + 1.50547i
\(814\) −3.29392 + 18.6807i −0.115452 + 0.654759i
\(815\) −5.88921 16.1805i −0.206290 0.566777i
\(816\) −0.290466 0.108757i −0.0101683 0.00380726i
\(817\) 31.0583 + 37.0082i 1.08659 + 1.29475i
\(818\) 14.0635i 0.491718i
\(819\) −10.3483 + 26.8825i −0.361601 + 0.939351i
\(820\) −9.01881 1.59026i −0.314950 0.0555342i
\(821\) −2.84151 3.38638i −0.0991693 0.118185i 0.714177 0.699965i \(-0.246801\pi\)
−0.813346 + 0.581780i \(0.802357\pi\)
\(822\) 7.41267 + 13.1163i 0.258547 + 0.457483i
\(823\) 3.00453 + 17.0395i 0.104731 + 0.593960i 0.991327 + 0.131416i \(0.0419523\pi\)
−0.886596 + 0.462544i \(0.846937\pi\)
\(824\) −2.73049 + 1.57645i −0.0951210 + 0.0549181i
\(825\) 3.93613 3.24158i 0.137039 0.112857i
\(826\) −36.6727 13.3478i −1.27601 0.464429i
\(827\) −47.8075 17.4005i −1.66243 0.605075i −0.671688 0.740834i \(-0.734431\pi\)
−0.990742 + 0.135759i \(0.956653\pi\)
\(828\) −0.772311 2.24985i −0.0268397 0.0781877i
\(829\) 40.6182 23.4509i 1.41073 0.814485i 0.415272 0.909697i \(-0.363686\pi\)
0.995457 + 0.0952126i \(0.0303531\pi\)
\(830\) 2.25756 + 12.8033i 0.0783611 + 0.444408i
\(831\) 6.55374 3.70384i 0.227347 0.128485i
\(832\) 2.19936 + 2.62110i 0.0762491 + 0.0908701i
\(833\) −0.154307 0.0272085i −0.00534642 0.000942717i
\(834\) 0.0173288 1.88380i 0.000600048 0.0652307i
\(835\) 15.7007i 0.543344i
\(836\) 12.8325 0.000961951i 0.443821 3.32698e-5i
\(837\) 17.9875 + 33.2410i 0.621738 + 1.14898i
\(838\) −1.46261 4.01849i −0.0505251 0.138816i
\(839\) −8.90715 + 50.5150i −0.307509 + 1.74397i 0.303944 + 0.952690i \(0.401696\pi\)
−0.611453 + 0.791281i \(0.709415\pi\)
\(840\) −4.58253 + 1.62032i −0.158112 + 0.0559065i
\(841\) −21.4953 18.0367i −0.741219 0.621956i
\(842\) 13.8112 2.43528i 0.475964 0.0839253i
\(843\) −9.65634 + 1.61123i −0.332582 + 0.0554938i
\(844\) −9.28233 5.35916i −0.319511 0.184470i
\(845\) 0.442120 1.21471i 0.0152094 0.0417875i
\(846\) −0.517696 + 0.286325i −0.0177988 + 0.00984406i
\(847\) −3.27349 + 5.66985i −0.112478 + 0.194818i
\(848\) −2.83938 4.91795i −0.0975047 0.168883i
\(849\) −43.2643 8.03969i −1.48483 0.275921i
\(850\) 0.115104 0.137176i 0.00394804 0.00470509i
\(851\) −3.91366 + 3.28395i −0.134159 + 0.112572i
\(852\) −15.5333 9.15970i −0.532163 0.313806i
\(853\) −9.52240 + 3.46587i −0.326041 + 0.118669i −0.499854 0.866109i \(-0.666613\pi\)
0.173814 + 0.984779i \(0.444391\pi\)
\(854\) 2.06251 0.0705776
\(855\) 12.2041 + 4.69688i 0.417370 + 0.160630i
\(856\) −9.67962 −0.330843
\(857\) 35.6104 12.9611i 1.21643 0.442744i 0.347500 0.937680i \(-0.387031\pi\)
0.868929 + 0.494936i \(0.164808\pi\)
\(858\) −15.0288 8.86218i −0.513074 0.302550i
\(859\) −7.45174 + 6.25275i −0.254250 + 0.213341i −0.761000 0.648752i \(-0.775291\pi\)
0.506750 + 0.862093i \(0.330847\pi\)
\(860\) 7.12462 8.49079i 0.242948 0.289534i
\(861\) −43.7635 8.13244i −1.49145 0.277153i
\(862\) 5.64325 + 9.77439i 0.192210 + 0.332917i
\(863\) −27.8105 + 48.1692i −0.946681 + 1.63970i −0.194331 + 0.980936i \(0.562254\pi\)
−0.752350 + 0.658764i \(0.771080\pi\)
\(864\) −5.14016 + 0.760763i −0.174872 + 0.0258817i
\(865\) −4.59796 + 12.6328i −0.156335 + 0.429528i
\(866\) 14.8205 + 8.55661i 0.503620 + 0.290765i
\(867\) −28.9886 + 4.83696i −0.984503 + 0.164272i
\(868\) 20.1019 3.54451i 0.682303 0.120308i
\(869\) 12.0759 + 10.1329i 0.409647 + 0.343735i
\(870\) 1.58308 0.559758i 0.0536715 0.0189776i
\(871\) −3.25590 + 18.4651i −0.110322 + 0.625667i
\(872\) −5.68054 15.6072i −0.192367 0.528525i
\(873\) −19.5240 + 22.4171i −0.660788 + 0.758703i
\(874\) 2.64777 + 2.22140i 0.0895620 + 0.0751400i
\(875\) 2.80624i 0.0948684i
\(876\) 0.00580568 0.631130i 0.000196156 0.0213239i
\(877\) −55.5785 9.80000i −1.87675 0.330922i −0.885687 0.464284i \(-0.846312\pi\)
−0.991068 + 0.133361i \(0.957423\pi\)
\(878\) 21.6230 + 25.7693i 0.729741 + 0.869672i
\(879\) 47.7783 27.0019i 1.61152 0.910752i
\(880\) −0.511216 2.89925i −0.0172331 0.0977337i
\(881\) 22.8706 13.2043i 0.770529 0.444865i −0.0625344 0.998043i \(-0.519918\pi\)
0.833063 + 0.553178i \(0.186585\pi\)
\(882\) −2.48280 + 0.852277i −0.0836003 + 0.0286977i
\(883\) 37.9166 + 13.8005i 1.27600 + 0.464425i 0.889106 0.457701i \(-0.151327\pi\)
0.386890 + 0.922126i \(0.373549\pi\)
\(884\) −0.575756 0.209558i −0.0193648 0.00704820i
\(885\) 18.5938 15.3128i 0.625023 0.514734i
\(886\) −11.2562 + 6.49874i −0.378158 + 0.218330i
\(887\) 8.74325 + 49.5854i 0.293569 + 1.66492i 0.672960 + 0.739679i \(0.265022\pi\)
−0.379391 + 0.925237i \(0.623866\pi\)
\(888\) 5.49092 + 9.71586i 0.184263 + 0.326043i
\(889\) −34.7408 41.4024i −1.16517 1.38859i
\(890\) 13.0209 + 2.29593i 0.436460 + 0.0769597i
\(891\) 23.4178 12.3948i 0.784527 0.415242i
\(892\) 7.72880i 0.258779i
\(893\) 0.429732 0.744447i 0.0143804 0.0249120i
\(894\) −3.85796 1.44451i −0.129029 0.0483115i
\(895\) −5.21645 14.3321i −0.174367 0.479069i
\(896\) −0.487299 + 2.76361i −0.0162795 + 0.0923257i
\(897\) −1.56649 4.43027i −0.0523035 0.147922i
\(898\) 1.18452 + 0.993931i 0.0395280 + 0.0331679i
\(899\) −6.94441 + 1.22449i −0.231609 + 0.0408389i
\(900\) 0.575206 2.94434i 0.0191735 0.0981447i
\(901\) 0.880660 + 0.508449i 0.0293390 + 0.0169389i
\(902\) 9.22112 25.3348i 0.307030 0.843557i
\(903\) 35.0078 40.9497i 1.16499 1.36272i
\(904\) −0.647652 + 1.12177i −0.0215406 + 0.0373094i
\(905\) −11.5439 19.9946i −0.383731 0.664642i
\(906\) −1.63872 + 8.81854i −0.0544430 + 0.292976i
\(907\) 1.31411 1.56610i 0.0436344 0.0520015i −0.743786 0.668418i \(-0.766972\pi\)
0.787420 + 0.616416i \(0.211416\pi\)
\(908\) −21.8767 + 18.3567i −0.726004 + 0.609190i
\(909\) −14.5392 17.9892i −0.482236 0.596663i
\(910\) −9.02277 + 3.28402i −0.299102 + 0.108864i
\(911\) −5.99399 −0.198590 −0.0992948 0.995058i \(-0.531659\pi\)
−0.0992948 + 0.995058i \(0.531659\pi\)
\(912\) 5.82754 4.79997i 0.192969 0.158943i
\(913\) −38.2740 −1.26668
\(914\) −19.6170 + 7.13999i −0.648871 + 0.236170i
\(915\) −0.646618 + 1.09656i −0.0213765 + 0.0362510i
\(916\) −11.5837 + 9.71986i −0.382735 + 0.321153i
\(917\) 3.55302 4.23432i 0.117331 0.139830i
\(918\) 0.729018 0.578204i 0.0240612 0.0190836i
\(919\) 24.2042 + 41.9230i 0.798424 + 1.38291i 0.920642 + 0.390408i \(0.127666\pi\)
−0.122218 + 0.992503i \(0.539001\pi\)
\(920\) 0.396453 0.686676i 0.0130707 0.0226390i
\(921\) −16.7034 14.2797i −0.550397 0.470533i
\(922\) −4.28635 + 11.7766i −0.141163 + 0.387843i
\(923\) −30.8506 17.8116i −1.01546 0.586276i
\(924\) −2.35506 14.1142i −0.0774760 0.464324i
\(925\) −6.34541 + 1.11887i −0.208636 + 0.0367881i
\(926\) 5.23401 + 4.39185i 0.172000 + 0.144325i
\(927\) 0.174003 9.45708i 0.00571502 0.310611i
\(928\) 0.168343 0.954718i 0.00552612 0.0313402i
\(929\) −15.9528 43.8299i −0.523393 1.43801i −0.866720 0.498795i \(-0.833776\pi\)
0.343327 0.939216i \(-0.388446\pi\)
\(930\) −4.41767 + 11.7986i −0.144861 + 0.386892i
\(931\) 2.45141 2.92192i 0.0803416 0.0957620i
\(932\) 13.9329i 0.456389i
\(933\) 34.5504 + 0.317824i 1.13113 + 0.0104051i
\(934\) 16.3802 + 2.88826i 0.535975 + 0.0945069i
\(935\) 0.338864 + 0.403843i 0.0110820 + 0.0132071i
\(936\) −10.1399 + 1.59620i −0.331434 + 0.0521733i
\(937\) −2.07938 11.7927i −0.0679302 0.385252i −0.999751 0.0223317i \(-0.992891\pi\)
0.931820 0.362920i \(-0.118220\pi\)
\(938\) −13.3177 + 7.68895i −0.434837 + 0.251053i
\(939\) 11.3267 + 13.7536i 0.369634 + 0.448833i
\(940\) −0.185308 0.0674464i −0.00604407 0.00219986i
\(941\) 46.9123 + 17.0747i 1.52930 + 0.556619i 0.963450 0.267890i \(-0.0863263\pi\)
0.565849 + 0.824509i \(0.308549\pi\)
\(942\) 13.9738 + 16.9679i 0.455292 + 0.552845i
\(943\) 6.28854 3.63069i 0.204783 0.118232i
\(944\) −2.41492 13.6957i −0.0785988 0.445756i
\(945\) 2.92735 14.2848i 0.0952266 0.464685i
\(946\) 20.9747 + 24.9967i 0.681947 + 0.812712i
\(947\) −0.296171 0.0522230i −0.00962427 0.00169702i 0.168834 0.985645i \(-0.446000\pi\)
−0.178458 + 0.983947i \(0.557111\pi\)
\(948\) 9.27415 + 0.0853116i 0.301210 + 0.00277079i
\(949\) 1.24683i 0.0404737i
\(950\) 1.49114 + 4.09591i 0.0483789 + 0.132889i
\(951\) 2.29853 6.13888i 0.0745351 0.199067i
\(952\) −0.171870 0.472210i −0.00557035 0.0153044i
\(953\) 1.12852 6.40013i 0.0365562 0.207321i −0.961059 0.276344i \(-0.910877\pi\)
0.997615 + 0.0690233i \(0.0219883\pi\)
\(954\) 17.0334 + 0.313402i 0.551477 + 0.0101468i
\(955\) −10.0664 8.44674i −0.325742 0.273330i
\(956\) 24.7646 4.36666i 0.800943 0.141228i
\(957\) 0.813582 + 4.87591i 0.0262994 + 0.157616i
\(958\) −5.71933 3.30206i −0.184783 0.106685i
\(959\) −8.34863 + 22.9377i −0.269591 + 0.740696i
\(960\) −1.31653 1.12550i −0.0424908 0.0363253i
\(961\) 10.9539 18.9727i 0.353352 0.612024i
\(962\) 11.0232 + 19.0927i 0.355402 + 0.615574i
\(963\) 14.9796 24.8770i 0.482711 0.801652i
\(964\) 8.53647 10.1734i 0.274941 0.327662i
\(965\) 9.64415 8.09240i 0.310456 0.260504i
\(966\) 1.95760 3.31976i 0.0629848 0.106812i
\(967\) −36.2786 + 13.2043i −1.16664 + 0.424622i −0.851465 0.524412i \(-0.824285\pi\)
−0.315175 + 0.949034i \(0.602063\pi\)
\(968\) −2.33301 −0.0749856
\(969\) −0.473966 + 1.26615i −0.0152260 + 0.0406745i
\(970\) −9.90910 −0.318162
\(971\) 18.9098 6.88262i 0.606845 0.220874i −0.0202770 0.999794i \(-0.506455\pi\)
0.627122 + 0.778921i \(0.284233\pi\)
\(972\) 5.99941 14.3877i 0.192431 0.461487i
\(973\) 2.33815 1.96194i 0.0749577 0.0628969i
\(974\) −5.73337 + 6.83276i −0.183709 + 0.218936i
\(975\) 1.08275 5.82663i 0.0346757 0.186602i
\(976\) 0.367486 + 0.636504i 0.0117629 + 0.0203740i
\(977\) 27.8764 48.2833i 0.891845 1.54472i 0.0541839 0.998531i \(-0.482744\pi\)
0.837661 0.546190i \(-0.183922\pi\)
\(978\) 19.3798 22.6692i 0.619699 0.724881i
\(979\) −13.3129 + 36.5770i −0.425483 + 1.16901i
\(980\) −0.757775 0.437502i −0.0242062 0.0139755i
\(981\) 48.9019 + 9.55348i 1.56132 + 0.305019i
\(982\) −5.37581 + 0.947900i −0.171549 + 0.0302487i
\(983\) −31.1696 26.1544i −0.994157 0.834197i −0.00799255 0.999968i \(-0.502544\pi\)
−0.986164 + 0.165772i \(0.946989\pi\)
\(984\) −5.28779 14.9547i −0.168569 0.476738i
\(985\) 1.16837 6.62617i 0.0372274 0.211127i
\(986\) 0.0593744 + 0.163130i 0.00189087 + 0.00519511i
\(987\) −0.897644 0.336098i −0.0285723 0.0106981i
\(988\) 11.4244 9.58765i 0.363458 0.305024i
\(989\) 8.78852i 0.279459i
\(990\) 8.24232 + 3.17286i 0.261958 + 0.100840i
\(991\) 32.4742 + 5.72607i 1.03158 + 0.181895i 0.663714 0.747986i \(-0.268979\pi\)
0.367861 + 0.929881i \(0.380090\pi\)
\(992\) 4.67549 + 5.57204i 0.148447 + 0.176912i
\(993\) 2.61755 + 4.63160i 0.0830654 + 0.146979i
\(994\) −5.07341 28.7727i −0.160919 0.912615i
\(995\) −6.94319 + 4.00865i −0.220114 + 0.127083i
\(996\) −17.3822 + 14.3150i −0.550776 + 0.453589i
\(997\) −0.991469 0.360865i −0.0314001 0.0114287i 0.326272 0.945276i \(-0.394207\pi\)
−0.357672 + 0.933847i \(0.616430\pi\)
\(998\) 9.79305 + 3.56438i 0.309994 + 0.112828i
\(999\) −33.4676 0.923800i −1.05887 0.0292277i
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 570.2.bb.b.71.3 yes 84
3.2 odd 2 570.2.bb.a.71.2 84
19.15 odd 18 570.2.bb.a.281.2 yes 84
57.53 even 18 inner 570.2.bb.b.281.3 yes 84
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
570.2.bb.a.71.2 84 3.2 odd 2
570.2.bb.a.281.2 yes 84 19.15 odd 18
570.2.bb.b.71.3 yes 84 1.1 even 1 trivial
570.2.bb.b.281.3 yes 84 57.53 even 18 inner