Properties

Label 360.2.br.e.77.18
Level $360$
Weight $2$
Character 360.77
Analytic conductor $2.875$
Analytic rank $0$
Dimension $256$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [360,2,Mod(77,360)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(360, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([0, 6, 10, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("360.77");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 360.br (of order \(12\), degree \(4\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.87461447277\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 77.18
Character \(\chi\) \(=\) 360.77
Dual form 360.2.br.e.173.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.890307 + 1.09880i) q^{2} +(-0.176815 + 1.72300i) q^{3} +(-0.414706 - 1.95653i) q^{4} +(-1.48043 - 1.67581i) q^{5} +(-1.73581 - 1.72829i) q^{6} +(0.827385 - 3.08784i) q^{7} +(2.51905 + 1.28624i) q^{8} +(-2.93747 - 0.609306i) q^{9} +O(q^{10})\) \(q+(-0.890307 + 1.09880i) q^{2} +(-0.176815 + 1.72300i) q^{3} +(-0.414706 - 1.95653i) q^{4} +(-1.48043 - 1.67581i) q^{5} +(-1.73581 - 1.72829i) q^{6} +(0.827385 - 3.08784i) q^{7} +(2.51905 + 1.28624i) q^{8} +(-2.93747 - 0.609306i) q^{9} +(3.15941 - 0.134701i) q^{10} +(2.87108 + 4.97286i) q^{11} +(3.44444 - 0.368595i) q^{12} +(3.40417 - 0.912144i) q^{13} +(2.65628 + 3.65826i) q^{14} +(3.14919 - 2.25447i) q^{15} +(-3.65604 + 1.62277i) q^{16} +(2.83816 - 2.83816i) q^{17} +(3.28476 - 2.68521i) q^{18} +2.48289 q^{19} +(-2.66483 + 3.59147i) q^{20} +(5.17407 + 1.97157i) q^{21} +(-8.02031 - 1.27264i) q^{22} +(2.65778 - 0.712150i) q^{23} +(-2.66159 + 4.11290i) q^{24} +(-0.616679 + 4.96182i) q^{25} +(-2.02849 + 4.55258i) q^{26} +(1.56923 - 4.95354i) q^{27} +(-6.38459 - 0.338257i) q^{28} +(-3.41238 + 1.97014i) q^{29} +(-0.326542 + 5.46748i) q^{30} +(1.68465 - 2.91791i) q^{31} +(1.47190 - 5.46201i) q^{32} +(-9.07590 + 4.06760i) q^{33} +(0.591726 + 5.64540i) q^{34} +(-6.39952 + 3.18478i) q^{35} +(0.0260615 + 5.99994i) q^{36} +(0.998175 - 0.998175i) q^{37} +(-2.21053 + 2.72819i) q^{38} +(0.969717 + 6.02667i) q^{39} +(-1.57377 - 6.12562i) q^{40} +(2.03512 + 1.17498i) q^{41} +(-6.77286 + 3.92995i) q^{42} +(3.35315 - 12.5141i) q^{43} +(8.53891 - 7.67964i) q^{44} +(3.32763 + 5.82468i) q^{45} +(-1.58373 + 3.55439i) q^{46} +(9.57525 + 2.56568i) q^{47} +(-2.14960 - 6.58629i) q^{48} +(-2.78804 - 1.60968i) q^{49} +(-4.90300 - 5.09515i) q^{50} +(4.38833 + 5.39199i) q^{51} +(-3.19637 - 6.28209i) q^{52} +(-6.00143 + 6.00143i) q^{53} +(4.04583 + 6.13443i) q^{54} +(4.08315 - 12.1733i) q^{55} +(6.05592 - 6.71421i) q^{56} +(-0.439012 + 4.27802i) q^{57} +(0.873285 - 5.50353i) q^{58} +(1.03727 + 0.598870i) q^{59} +(-5.71693 - 5.22654i) q^{60} +(-3.17560 + 1.83343i) q^{61} +(1.70633 + 4.44893i) q^{62} +(-4.31187 + 8.56633i) q^{63} +(4.69119 + 6.48018i) q^{64} +(-6.56820 - 4.35438i) q^{65} +(3.61087 - 13.5940i) q^{66} +(2.95482 + 11.0276i) q^{67} +(-6.72997 - 4.37596i) q^{68} +(0.757099 + 4.70528i) q^{69} +(2.19811 - 9.86721i) q^{70} -11.4905i q^{71} +(-6.61592 - 5.31316i) q^{72} +(5.56428 - 5.56428i) q^{73} +(0.208109 + 1.98547i) q^{74} +(-8.44020 - 1.93987i) q^{75} +(-1.02967 - 4.85785i) q^{76} +(17.7309 - 4.75099i) q^{77} +(-7.48543 - 4.30007i) q^{78} +(-1.72690 + 0.997028i) q^{79} +(8.13195 + 3.72443i) q^{80} +(8.25749 + 3.57964i) q^{81} +(-3.10294 + 1.19009i) q^{82} +(-7.25353 - 1.94358i) q^{83} +(1.71171 - 10.9409i) q^{84} +(-8.95792 - 0.554533i) q^{85} +(10.7651 + 14.8258i) q^{86} +(-2.79119 - 6.22788i) q^{87} +(0.836114 + 16.2198i) q^{88} -4.68546 q^{89} +(-9.36275 - 1.52937i) q^{90} -11.2662i q^{91} +(-2.49554 - 4.90470i) q^{92} +(4.72969 + 3.41859i) q^{93} +(-11.3441 + 8.23701i) q^{94} +(-3.67573 - 4.16085i) q^{95} +(9.15079 + 3.50185i) q^{96} +(-0.0161684 + 0.0603412i) q^{97} +(4.25092 - 1.63038i) q^{98} +(-5.40373 - 16.3570i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256 q + 6 q^{2} - 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 256 q + 6 q^{2} - 8 q^{6} - 10 q^{12} + 28 q^{15} + 12 q^{16} - 28 q^{18} - 54 q^{20} + 14 q^{22} - 28 q^{25} - 32 q^{28} + 14 q^{30} - 32 q^{31} - 114 q^{32} + 4 q^{33} - 40 q^{36} - 30 q^{38} + 46 q^{40} + 24 q^{41} - 10 q^{42} - 16 q^{46} + 24 q^{47} - 2 q^{48} + 78 q^{50} + 38 q^{52} - 8 q^{55} - 96 q^{56} - 80 q^{57} - 18 q^{58} - 2 q^{60} - 144 q^{63} - 84 q^{65} - 4 q^{66} - 30 q^{68} - 30 q^{70} - 86 q^{72} + 64 q^{73} + 16 q^{76} - 82 q^{78} + 72 q^{81} - 64 q^{82} + 48 q^{86} - 4 q^{87} + 38 q^{88} + 78 q^{90} - 108 q^{92} - 24 q^{95} - 116 q^{96} + 36 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).

\(n\) \(181\) \(217\) \(271\) \(281\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.890307 + 1.09880i −0.629542 + 0.776966i
\(3\) −0.176815 + 1.72300i −0.102084 + 0.994776i
\(4\) −0.414706 1.95653i −0.207353 0.978266i
\(5\) −1.48043 1.67581i −0.662067 0.749445i
\(6\) −1.73581 1.72829i −0.708641 0.705569i
\(7\) 0.827385 3.08784i 0.312722 1.16710i −0.613369 0.789796i \(-0.710186\pi\)
0.926091 0.377299i \(-0.123147\pi\)
\(8\) 2.51905 + 1.28624i 0.890617 + 0.454753i
\(9\) −2.93747 0.609306i −0.979158 0.203102i
\(10\) 3.15941 0.134701i 0.999092 0.0425961i
\(11\) 2.87108 + 4.97286i 0.865664 + 1.49937i 0.866386 + 0.499375i \(0.166437\pi\)
−0.000722028 1.00000i \(0.500230\pi\)
\(12\) 3.44444 0.368595i 0.994323 0.106404i
\(13\) 3.40417 0.912144i 0.944146 0.252983i 0.246270 0.969201i \(-0.420795\pi\)
0.697877 + 0.716218i \(0.254128\pi\)
\(14\) 2.65628 + 3.65826i 0.709922 + 0.977711i
\(15\) 3.14919 2.25447i 0.813116 0.582101i
\(16\) −3.65604 + 1.62277i −0.914009 + 0.405693i
\(17\) 2.83816 2.83816i 0.688356 0.688356i −0.273513 0.961868i \(-0.588185\pi\)
0.961868 + 0.273513i \(0.0881855\pi\)
\(18\) 3.28476 2.68521i 0.774224 0.632911i
\(19\) 2.48289 0.569613 0.284807 0.958585i \(-0.408071\pi\)
0.284807 + 0.958585i \(0.408071\pi\)
\(20\) −2.66483 + 3.59147i −0.595875 + 0.803077i
\(21\) 5.17407 + 1.97157i 1.12907 + 0.430231i
\(22\) −8.02031 1.27264i −1.70994 0.271328i
\(23\) 2.65778 0.712150i 0.554185 0.148493i 0.0291516 0.999575i \(-0.490719\pi\)
0.525034 + 0.851082i \(0.324053\pi\)
\(24\) −2.66159 + 4.11290i −0.543296 + 0.839541i
\(25\) −0.616679 + 4.96182i −0.123336 + 0.992365i
\(26\) −2.02849 + 4.55258i −0.397820 + 0.892833i
\(27\) 1.56923 4.95354i 0.301998 0.953309i
\(28\) −6.38459 0.338257i −1.20657 0.0639246i
\(29\) −3.41238 + 1.97014i −0.633662 + 0.365845i −0.782169 0.623066i \(-0.785887\pi\)
0.148507 + 0.988911i \(0.452553\pi\)
\(30\) −0.326542 + 5.46748i −0.0596182 + 0.998221i
\(31\) 1.68465 2.91791i 0.302573 0.524072i −0.674145 0.738599i \(-0.735488\pi\)
0.976718 + 0.214527i \(0.0688211\pi\)
\(32\) 1.47190 5.46201i 0.260197 0.965555i
\(33\) −9.07590 + 4.06760i −1.57991 + 0.708079i
\(34\) 0.591726 + 5.64540i 0.101480 + 0.968178i
\(35\) −6.39952 + 3.18478i −1.08172 + 0.538327i
\(36\) 0.0260615 + 5.99994i 0.00434359 + 0.999991i
\(37\) 0.998175 0.998175i 0.164099 0.164099i −0.620281 0.784380i \(-0.712981\pi\)
0.784380 + 0.620281i \(0.212981\pi\)
\(38\) −2.21053 + 2.72819i −0.358596 + 0.442570i
\(39\) 0.969717 + 6.02667i 0.155279 + 0.965039i
\(40\) −1.57377 6.12562i −0.248835 0.968546i
\(41\) 2.03512 + 1.17498i 0.317832 + 0.183500i 0.650426 0.759570i \(-0.274591\pi\)
−0.332594 + 0.943070i \(0.607924\pi\)
\(42\) −6.77286 + 3.92995i −1.04507 + 0.606404i
\(43\) 3.35315 12.5141i 0.511350 1.90839i 0.105578 0.994411i \(-0.466331\pi\)
0.405772 0.913974i \(-0.367003\pi\)
\(44\) 8.53891 7.67964i 1.28729 1.15775i
\(45\) 3.32763 + 5.82468i 0.496054 + 0.868292i
\(46\) −1.58373 + 3.55439i −0.233509 + 0.524066i
\(47\) 9.57525 + 2.56568i 1.39669 + 0.374243i 0.877157 0.480204i \(-0.159438\pi\)
0.519538 + 0.854448i \(0.326104\pi\)
\(48\) −2.14960 6.58629i −0.310268 0.950649i
\(49\) −2.78804 1.60968i −0.398291 0.229954i
\(50\) −4.90300 5.09515i −0.693389 0.720563i
\(51\) 4.38833 + 5.39199i 0.614489 + 0.755030i
\(52\) −3.19637 6.28209i −0.443257 0.871169i
\(53\) −6.00143 + 6.00143i −0.824359 + 0.824359i −0.986730 0.162370i \(-0.948086\pi\)
0.162370 + 0.986730i \(0.448086\pi\)
\(54\) 4.04583 + 6.13443i 0.550568 + 0.834790i
\(55\) 4.08315 12.1733i 0.550571 1.64145i
\(56\) 6.05592 6.71421i 0.809257 0.897224i
\(57\) −0.439012 + 4.27802i −0.0581486 + 0.566637i
\(58\) 0.873285 5.50353i 0.114668 0.722649i
\(59\) 1.03727 + 0.598870i 0.135041 + 0.0779662i 0.565999 0.824406i \(-0.308491\pi\)
−0.430957 + 0.902372i \(0.641824\pi\)
\(60\) −5.71693 5.22654i −0.738052 0.674744i
\(61\) −3.17560 + 1.83343i −0.406594 + 0.234747i −0.689325 0.724452i \(-0.742093\pi\)
0.282731 + 0.959199i \(0.408760\pi\)
\(62\) 1.70633 + 4.44893i 0.216704 + 0.565014i
\(63\) −4.31187 + 8.56633i −0.543244 + 1.07926i
\(64\) 4.69119 + 6.48018i 0.586399 + 0.810023i
\(65\) −6.56820 4.35438i −0.814685 0.540094i
\(66\) 3.61087 13.5940i 0.444468 1.67330i
\(67\) 2.95482 + 11.0276i 0.360989 + 1.34723i 0.872777 + 0.488119i \(0.162317\pi\)
−0.511788 + 0.859112i \(0.671017\pi\)
\(68\) −6.72997 4.37596i −0.816128 0.530662i
\(69\) 0.757099 + 4.70528i 0.0911441 + 0.566449i
\(70\) 2.19811 9.86721i 0.262725 1.17936i
\(71\) 11.4905i 1.36367i −0.731506 0.681835i \(-0.761182\pi\)
0.731506 0.681835i \(-0.238818\pi\)
\(72\) −6.61592 5.31316i −0.779693 0.626161i
\(73\) 5.56428 5.56428i 0.651250 0.651250i −0.302044 0.953294i \(-0.597669\pi\)
0.953294 + 0.302044i \(0.0976690\pi\)
\(74\) 0.208109 + 1.98547i 0.0241921 + 0.230807i
\(75\) −8.44020 1.93987i −0.974590 0.223996i
\(76\) −1.02967 4.85785i −0.118111 0.557233i
\(77\) 17.7309 4.75099i 2.02063 0.541425i
\(78\) −7.48543 4.30007i −0.847558 0.486887i
\(79\) −1.72690 + 0.997028i −0.194292 + 0.112174i −0.593990 0.804472i \(-0.702448\pi\)
0.399698 + 0.916647i \(0.369115\pi\)
\(80\) 8.13195 + 3.72443i 0.909180 + 0.416404i
\(81\) 8.25749 + 3.57964i 0.917499 + 0.397738i
\(82\) −3.10294 + 1.19009i −0.342662 + 0.131423i
\(83\) −7.25353 1.94358i −0.796179 0.213335i −0.162273 0.986746i \(-0.551883\pi\)
−0.633906 + 0.773410i \(0.718549\pi\)
\(84\) 1.71171 10.9409i 0.186763 1.19374i
\(85\) −8.95792 0.554533i −0.971622 0.0601475i
\(86\) 10.7651 + 14.8258i 1.16083 + 1.59871i
\(87\) −2.79119 6.22788i −0.299247 0.667699i
\(88\) 0.836114 + 16.2198i 0.0891301 + 1.72903i
\(89\) −4.68546 −0.496657 −0.248329 0.968676i \(-0.579881\pi\)
−0.248329 + 0.968676i \(0.579881\pi\)
\(90\) −9.36275 1.52937i −0.986920 0.161209i
\(91\) 11.2662i 1.18102i
\(92\) −2.49554 4.90470i −0.260178 0.511350i
\(93\) 4.72969 + 3.41859i 0.490446 + 0.354492i
\(94\) −11.3441 + 8.23701i −1.17005 + 0.849583i
\(95\) −3.67573 4.16085i −0.377122 0.426894i
\(96\) 9.15079 + 3.50185i 0.933949 + 0.357406i
\(97\) −0.0161684 + 0.0603412i −0.00164165 + 0.00612672i −0.966742 0.255754i \(-0.917676\pi\)
0.965100 + 0.261881i \(0.0843428\pi\)
\(98\) 4.25092 1.63038i 0.429408 0.164693i
\(99\) −5.40373 16.3570i −0.543096 1.64394i
\(100\) 9.96371 0.851148i 0.996371 0.0851148i
\(101\) −3.98616 6.90424i −0.396638 0.686997i 0.596671 0.802486i \(-0.296490\pi\)
−0.993309 + 0.115489i \(0.963157\pi\)
\(102\) −9.83167 + 0.0213524i −0.973480 + 0.00211421i
\(103\) 2.45029 + 9.14462i 0.241434 + 0.901046i 0.975142 + 0.221580i \(0.0711215\pi\)
−0.733708 + 0.679465i \(0.762212\pi\)
\(104\) 9.74849 + 2.08083i 0.955918 + 0.204042i
\(105\) −4.35586 11.5895i −0.425088 1.13102i
\(106\) −1.25123 11.9375i −0.121530 1.15947i
\(107\) −10.2518 10.2518i −0.991077 0.991077i 0.00888370 0.999961i \(-0.497172\pi\)
−0.999961 + 0.00888370i \(0.997172\pi\)
\(108\) −10.3425 1.01598i −0.995210 0.0977625i
\(109\) −6.24344 −0.598013 −0.299006 0.954251i \(-0.596655\pi\)
−0.299006 + 0.954251i \(0.596655\pi\)
\(110\) 9.74077 + 15.3246i 0.928746 + 1.46114i
\(111\) 1.54337 + 1.89635i 0.146490 + 0.179994i
\(112\) 1.98592 + 12.6319i 0.187652 + 1.19361i
\(113\) −3.54395 + 0.949598i −0.333387 + 0.0893307i −0.421629 0.906768i \(-0.638542\pi\)
0.0882426 + 0.996099i \(0.471875\pi\)
\(114\) −4.30982 4.29114i −0.403651 0.401902i
\(115\) −5.12807 3.39965i −0.478195 0.317019i
\(116\) 5.26977 + 5.85940i 0.489286 + 0.544031i
\(117\) −10.5554 + 0.605217i −0.975849 + 0.0559524i
\(118\) −1.58153 + 0.606574i −0.145591 + 0.0558396i
\(119\) −6.41555 11.1121i −0.588113 1.01864i
\(120\) 10.8327 1.62851i 0.988888 0.148662i
\(121\) −10.9862 + 19.0287i −0.998749 + 1.72988i
\(122\) 0.812690 5.12166i 0.0735775 0.463693i
\(123\) −2.38432 + 3.29876i −0.214987 + 0.297439i
\(124\) −6.40762 2.08601i −0.575421 0.187329i
\(125\) 9.22802 6.31218i 0.825380 0.564578i
\(126\) −5.57377 12.3645i −0.496550 1.10152i
\(127\) 5.32952 + 5.32952i 0.472919 + 0.472919i 0.902858 0.429939i \(-0.141465\pi\)
−0.429939 + 0.902858i \(0.641465\pi\)
\(128\) −11.2970 0.614689i −0.998523 0.0543313i
\(129\) 20.9690 + 7.99017i 1.84621 + 0.703495i
\(130\) 10.6323 3.34038i 0.932513 0.292971i
\(131\) −6.13783 + 10.6310i −0.536265 + 0.928838i 0.462836 + 0.886444i \(0.346832\pi\)
−0.999101 + 0.0423938i \(0.986502\pi\)
\(132\) 11.7222 + 16.0704i 1.02029 + 1.39875i
\(133\) 2.05430 7.66677i 0.178131 0.664793i
\(134\) −14.7477 6.57116i −1.27401 0.567662i
\(135\) −10.6243 + 4.70362i −0.914395 + 0.404823i
\(136\) 10.8000 3.49892i 0.926094 0.300030i
\(137\) −8.28881 2.22098i −0.708161 0.189751i −0.113278 0.993563i \(-0.536135\pi\)
−0.594883 + 0.803812i \(0.702802\pi\)
\(138\) −5.84419 3.35724i −0.497491 0.285788i
\(139\) 0.406084 0.703358i 0.0344436 0.0596580i −0.848290 0.529532i \(-0.822367\pi\)
0.882733 + 0.469874i \(0.155701\pi\)
\(140\) 8.88506 + 11.2001i 0.750924 + 0.946583i
\(141\) −6.11373 + 16.0445i −0.514869 + 1.35119i
\(142\) 12.6257 + 10.2301i 1.05953 + 0.858488i
\(143\) 14.3096 + 14.3096i 1.19663 + 1.19663i
\(144\) 11.7283 2.53921i 0.977356 0.211600i
\(145\) 8.35335 + 2.80185i 0.693708 + 0.232681i
\(146\) 1.16009 + 11.0679i 0.0960099 + 0.915989i
\(147\) 3.26644 4.51918i 0.269412 0.372736i
\(148\) −2.36691 1.53901i −0.194559 0.126506i
\(149\) 5.41087 + 3.12397i 0.443276 + 0.255925i 0.704986 0.709221i \(-0.250953\pi\)
−0.261710 + 0.965146i \(0.584287\pi\)
\(150\) 9.64588 7.54698i 0.787583 0.616208i
\(151\) 0.175039 + 0.303176i 0.0142444 + 0.0246721i 0.873060 0.487613i \(-0.162132\pi\)
−0.858815 + 0.512285i \(0.828799\pi\)
\(152\) 6.25451 + 3.19358i 0.507307 + 0.259034i
\(153\) −10.0663 + 6.60772i −0.813815 + 0.534202i
\(154\) −10.5656 + 23.7125i −0.851400 + 1.91081i
\(155\) −7.38386 + 1.49658i −0.593086 + 0.120209i
\(156\) 11.3892 4.39658i 0.911868 0.352008i
\(157\) −3.82742 14.2841i −0.305461 1.14000i −0.932548 0.361047i \(-0.882419\pi\)
0.627086 0.778950i \(-0.284247\pi\)
\(158\) 0.441944 2.78518i 0.0351592 0.221577i
\(159\) −9.27933 11.4016i −0.735899 0.904207i
\(160\) −11.3323 + 5.61947i −0.895899 + 0.444258i
\(161\) 8.79603i 0.693224i
\(162\) −11.2850 + 5.88632i −0.886633 + 0.462473i
\(163\) 13.6267 + 13.6267i 1.06732 + 1.06732i 0.997564 + 0.0697610i \(0.0222237\pi\)
0.0697610 + 0.997564i \(0.477776\pi\)
\(164\) 1.45490 4.46904i 0.113609 0.348974i
\(165\) 20.2527 + 9.18770i 1.57667 + 0.715262i
\(166\) 8.59347 6.23977i 0.666983 0.484300i
\(167\) 2.91631 + 10.8838i 0.225671 + 0.842215i 0.982135 + 0.188179i \(0.0602586\pi\)
−0.756464 + 0.654035i \(0.773075\pi\)
\(168\) 10.4978 + 11.6215i 0.809924 + 0.896621i
\(169\) −0.501978 + 0.289817i −0.0386137 + 0.0222936i
\(170\) 8.58462 9.34922i 0.658410 0.717052i
\(171\) −7.29341 1.51284i −0.557741 0.115690i
\(172\) −25.8748 1.37086i −1.97294 0.104527i
\(173\) −3.73509 1.00082i −0.283974 0.0760906i 0.114021 0.993478i \(-0.463627\pi\)
−0.397994 + 0.917388i \(0.630294\pi\)
\(174\) 9.32819 + 2.47778i 0.707168 + 0.187840i
\(175\) 14.8111 + 6.00955i 1.11961 + 0.454279i
\(176\) −18.5666 13.5219i −1.39951 1.01925i
\(177\) −1.21526 + 1.68133i −0.0913445 + 0.126377i
\(178\) 4.17150 5.14836i 0.312667 0.385886i
\(179\) 0.840794i 0.0628439i −0.999506 0.0314220i \(-0.989996\pi\)
0.999506 0.0314220i \(-0.0100036\pi\)
\(180\) 10.0162 8.92614i 0.746562 0.665316i
\(181\) 1.73220i 0.128753i 0.997926 + 0.0643766i \(0.0205059\pi\)
−0.997926 + 0.0643766i \(0.979494\pi\)
\(182\) 12.3793 + 10.0304i 0.917615 + 0.743503i
\(183\) −2.59752 5.79575i −0.192014 0.428434i
\(184\) 7.61106 + 1.62459i 0.561095 + 0.119767i
\(185\) −3.15048 0.195028i −0.231628 0.0143387i
\(186\) −7.96721 + 2.15336i −0.584184 + 0.157892i
\(187\) 22.2624 + 5.96519i 1.62799 + 0.436218i
\(188\) 1.04892 19.7983i 0.0765003 1.44394i
\(189\) −13.9974 8.94401i −1.01816 0.650581i
\(190\) 7.84445 0.334446i 0.569096 0.0242633i
\(191\) 0.726920 0.419688i 0.0525981 0.0303675i −0.473470 0.880810i \(-0.656999\pi\)
0.526068 + 0.850442i \(0.323666\pi\)
\(192\) −11.9948 + 6.93714i −0.865653 + 0.500645i
\(193\) 0.665277 + 2.48285i 0.0478877 + 0.178719i 0.985727 0.168350i \(-0.0538437\pi\)
−0.937840 + 0.347069i \(0.887177\pi\)
\(194\) −0.0519079 0.0714880i −0.00372677 0.00513254i
\(195\) 8.66396 10.5471i 0.620439 0.755293i
\(196\) −1.99316 + 6.12243i −0.142369 + 0.437317i
\(197\) −19.4656 19.4656i −1.38687 1.38687i −0.831813 0.555055i \(-0.812697\pi\)
−0.555055 0.831813i \(-0.687303\pi\)
\(198\) 22.7840 + 8.62517i 1.61919 + 0.612964i
\(199\) 1.74818i 0.123925i 0.998078 + 0.0619625i \(0.0197359\pi\)
−0.998078 + 0.0619625i \(0.980264\pi\)
\(200\) −7.93553 + 11.7059i −0.561126 + 0.827730i
\(201\) −19.5230 + 3.14133i −1.37704 + 0.221572i
\(202\) 11.1353 + 1.76691i 0.783474 + 0.124319i
\(203\) 3.26012 + 12.1670i 0.228816 + 0.853953i
\(204\) 8.72974 10.8220i 0.611204 0.757692i
\(205\) −1.04380 5.14993i −0.0729024 0.359687i
\(206\) −12.2296 5.44914i −0.852075 0.379660i
\(207\) −8.24107 + 0.472519i −0.572794 + 0.0328423i
\(208\) −10.9656 + 8.85902i −0.760325 + 0.614263i
\(209\) 7.12857 + 12.3471i 0.493094 + 0.854064i
\(210\) 16.6126 + 5.53203i 1.14638 + 0.381746i
\(211\) 15.0577 + 8.69355i 1.03661 + 0.598489i 0.918872 0.394555i \(-0.129101\pi\)
0.117741 + 0.993044i \(0.462435\pi\)
\(212\) 14.2308 + 9.25316i 0.977377 + 0.635509i
\(213\) 19.7981 + 2.03169i 1.35655 + 0.139209i
\(214\) 20.3918 2.13738i 1.39396 0.146109i
\(215\) −25.9354 + 12.9070i −1.76878 + 0.880249i
\(216\) 10.3244 10.4598i 0.702485 0.711699i
\(217\) −7.61619 7.61619i −0.517020 0.517020i
\(218\) 5.55858 6.86026i 0.376474 0.464636i
\(219\) 8.60342 + 10.5711i 0.581365 + 0.714330i
\(220\) −25.5108 2.94045i −1.71994 0.198245i
\(221\) 7.07277 12.2504i 0.475766 0.824051i
\(222\) −3.45777 + 0.00750960i −0.232071 + 0.000504011i
\(223\) −10.9609 2.93696i −0.733995 0.196673i −0.127588 0.991827i \(-0.540723\pi\)
−0.606408 + 0.795154i \(0.707390\pi\)
\(224\) −15.6480 9.06418i −1.04553 0.605626i
\(225\) 4.83475 14.1995i 0.322317 0.946632i
\(226\) 2.11179 4.73951i 0.140474 0.315268i
\(227\) −3.14188 + 11.7257i −0.208534 + 0.778259i 0.779809 + 0.626017i \(0.215316\pi\)
−0.988343 + 0.152242i \(0.951351\pi\)
\(228\) 8.55214 0.915180i 0.566380 0.0606093i
\(229\) −10.8668 + 18.8218i −0.718098 + 1.24378i 0.243655 + 0.969862i \(0.421654\pi\)
−0.961753 + 0.273920i \(0.911680\pi\)
\(230\) 8.30108 2.60797i 0.547357 0.171965i
\(231\) 5.05086 + 31.3905i 0.332322 + 2.06534i
\(232\) −11.1300 + 0.573741i −0.730720 + 0.0376680i
\(233\) −17.2236 17.2236i −1.12836 1.12836i −0.990445 0.137912i \(-0.955961\pi\)
−0.137912 0.990445i \(-0.544039\pi\)
\(234\) 8.73256 12.1371i 0.570865 0.793426i
\(235\) −9.87586 19.8446i −0.644230 1.29452i
\(236\) 0.741544 2.27781i 0.0482704 0.148273i
\(237\) −1.41254 3.15175i −0.0917543 0.204728i
\(238\) 17.9217 + 2.84376i 1.16169 + 0.184334i
\(239\) −5.32298 + 9.21967i −0.344315 + 0.596371i −0.985229 0.171242i \(-0.945222\pi\)
0.640914 + 0.767613i \(0.278555\pi\)
\(240\) −7.85505 + 13.3528i −0.507041 + 0.861922i
\(241\) 3.79672 + 6.57612i 0.244568 + 0.423605i 0.962010 0.273013i \(-0.0880204\pi\)
−0.717442 + 0.696619i \(0.754687\pi\)
\(242\) −11.1276 29.0130i −0.715307 1.86503i
\(243\) −7.62778 + 13.5947i −0.489322 + 0.872103i
\(244\) 4.90412 + 5.45283i 0.313954 + 0.349082i
\(245\) 1.42998 + 7.05523i 0.0913578 + 0.450742i
\(246\) −1.50188 5.55679i −0.0957564 0.354288i
\(247\) 8.45216 2.26475i 0.537798 0.144103i
\(248\) 7.99684 5.18348i 0.507800 0.329151i
\(249\) 4.63133 12.1542i 0.293498 0.770241i
\(250\) −1.27998 + 15.7595i −0.0809530 + 0.996718i
\(251\) 17.4055 1.09863 0.549314 0.835616i \(-0.314889\pi\)
0.549314 + 0.835616i \(0.314889\pi\)
\(252\) 18.5485 + 4.88379i 1.16844 + 0.307650i
\(253\) 11.1721 + 11.1721i 0.702385 + 0.702385i
\(254\) −10.6010 + 1.11115i −0.665164 + 0.0697196i
\(255\) 2.53936 15.3365i 0.159021 0.960406i
\(256\) 10.7332 11.8658i 0.670826 0.741615i
\(257\) 3.61824 + 13.5034i 0.225699 + 0.842322i 0.982123 + 0.188240i \(0.0602782\pi\)
−0.756424 + 0.654082i \(0.773055\pi\)
\(258\) −27.4484 + 15.9269i −1.70886 + 0.991566i
\(259\) −2.25633 3.90809i −0.140202 0.242837i
\(260\) −5.79561 + 14.6567i −0.359428 + 0.908969i
\(261\) 11.2242 3.70804i 0.694759 0.229522i
\(262\) −6.21679 16.2091i −0.384074 1.00140i
\(263\) 2.21576 8.26934i 0.136630 0.509910i −0.863356 0.504595i \(-0.831642\pi\)
0.999986 0.00531434i \(-0.00169162\pi\)
\(264\) −28.0945 1.42728i −1.72910 0.0878427i
\(265\) 18.9419 + 1.17259i 1.16359 + 0.0720313i
\(266\) 6.59525 + 9.08304i 0.404381 + 0.556917i
\(267\) 0.828460 8.07305i 0.0507010 0.494063i
\(268\) 20.3504 10.3544i 1.24310 0.632496i
\(269\) 25.0897i 1.52975i 0.644180 + 0.764874i \(0.277199\pi\)
−0.644180 + 0.764874i \(0.722801\pi\)
\(270\) 4.29058 15.8616i 0.261116 0.965307i
\(271\) −27.9685 −1.69897 −0.849483 0.527617i \(-0.823086\pi\)
−0.849483 + 0.527617i \(0.823086\pi\)
\(272\) −5.77074 + 14.9821i −0.349902 + 0.908425i
\(273\) 19.4117 + 1.99204i 1.17485 + 0.120564i
\(274\) 9.81999 7.13036i 0.593247 0.430761i
\(275\) −26.4450 + 11.1792i −1.59469 + 0.674128i
\(276\) 8.89205 3.43260i 0.535239 0.206618i
\(277\) −26.7639 7.17137i −1.60809 0.430886i −0.660616 0.750724i \(-0.729705\pi\)
−0.947472 + 0.319838i \(0.896371\pi\)
\(278\) 0.411308 + 1.07241i 0.0246686 + 0.0643188i
\(279\) −6.72653 + 7.54480i −0.402707 + 0.451696i
\(280\) −20.2171 0.208685i −1.20820 0.0124713i
\(281\) −0.328882 + 0.189880i −0.0196195 + 0.0113273i −0.509778 0.860306i \(-0.670272\pi\)
0.490158 + 0.871633i \(0.336939\pi\)
\(282\) −12.1866 21.0023i −0.725700 1.25067i
\(283\) −0.0835686 + 0.0223921i −0.00496764 + 0.00133107i −0.261302 0.965257i \(-0.584152\pi\)
0.256334 + 0.966588i \(0.417485\pi\)
\(284\) −22.4815 + 4.76518i −1.33403 + 0.282762i
\(285\) 7.81907 5.59759i 0.463162 0.331573i
\(286\) −28.4633 + 2.98340i −1.68307 + 0.176412i
\(287\) 5.31197 5.31197i 0.313556 0.313556i
\(288\) −7.65170 + 15.1477i −0.450881 + 0.892584i
\(289\) 0.889647i 0.0523322i
\(290\) −10.5157 + 6.68411i −0.617504 + 0.392505i
\(291\) −0.101109 0.0385274i −0.00592713 0.00225852i
\(292\) −13.1942 8.57915i −0.772135 0.502057i
\(293\) −5.75970 21.4955i −0.336485 1.25578i −0.902250 0.431214i \(-0.858086\pi\)
0.565765 0.824567i \(-0.308581\pi\)
\(294\) 2.05752 + 7.61262i 0.119997 + 0.443977i
\(295\) −0.532013 2.62485i −0.0309750 0.152825i
\(296\) 3.79834 1.23056i 0.220774 0.0715249i
\(297\) 29.1386 6.41847i 1.69080 0.372438i
\(298\) −8.24994 + 3.16415i −0.477906 + 0.183294i
\(299\) 8.39794 4.84855i 0.485665 0.280399i
\(300\) −0.295207 + 17.3180i −0.0170438 + 0.999855i
\(301\) −35.8673 20.7080i −2.06736 1.19359i
\(302\) −0.488967 0.0775878i −0.0281369 0.00446468i
\(303\) 12.6008 5.64739i 0.723899 0.324434i
\(304\) −9.07753 + 4.02916i −0.520632 + 0.231088i
\(305\) 7.77373 + 2.60744i 0.445123 + 0.149302i
\(306\) 1.70160 16.9438i 0.0972739 0.968610i
\(307\) −0.936778 + 0.936778i −0.0534648 + 0.0534648i −0.733334 0.679869i \(-0.762037\pi\)
0.679869 + 0.733334i \(0.262037\pi\)
\(308\) −16.6486 32.7208i −0.948641 1.86444i
\(309\) −16.1894 + 2.60495i −0.920985 + 0.148190i
\(310\) 4.92947 9.44578i 0.279975 0.536484i
\(311\) −6.10346 3.52383i −0.346095 0.199818i 0.316869 0.948469i \(-0.397369\pi\)
−0.662964 + 0.748651i \(0.730702\pi\)
\(312\) −5.30896 + 16.4287i −0.300561 + 0.930095i
\(313\) 9.28183 + 2.48706i 0.524640 + 0.140577i 0.511412 0.859336i \(-0.329123\pi\)
0.0132281 + 0.999913i \(0.495789\pi\)
\(314\) 19.1029 + 8.51170i 1.07804 + 0.480343i
\(315\) 20.7389 5.45595i 1.16851 0.307408i
\(316\) 2.66688 + 2.96527i 0.150024 + 0.166809i
\(317\) 1.39029 5.18863i 0.0780865 0.291423i −0.915829 0.401569i \(-0.868465\pi\)
0.993915 + 0.110146i \(0.0351318\pi\)
\(318\) 20.7895 0.0451507i 1.16582 0.00253193i
\(319\) −19.5944 11.3129i −1.09708 0.633398i
\(320\) 3.91459 17.4550i 0.218832 0.975762i
\(321\) 19.4765 15.8512i 1.08707 0.884726i
\(322\) 9.66504 + 7.83117i 0.538612 + 0.436414i
\(323\) 7.04684 7.04684i 0.392097 0.392097i
\(324\) 3.57925 17.6405i 0.198847 0.980031i
\(325\) 2.42662 + 17.4534i 0.134605 + 0.968140i
\(326\) −27.1049 + 2.84102i −1.50120 + 0.157349i
\(327\) 1.10394 10.7575i 0.0610477 0.594889i
\(328\) 3.61526 + 5.57746i 0.199619 + 0.307964i
\(329\) 15.8449 27.4441i 0.873555 1.51304i
\(330\) −28.1266 + 14.0737i −1.54832 + 0.774734i
\(331\) −2.28002 + 1.31637i −0.125321 + 0.0723542i −0.561350 0.827578i \(-0.689718\pi\)
0.436029 + 0.899933i \(0.356385\pi\)
\(332\) −0.794587 + 14.9978i −0.0436086 + 0.823110i
\(333\) −3.54031 + 2.32392i −0.194008 + 0.127350i
\(334\) −14.5555 6.48551i −0.796442 0.354871i
\(335\) 14.1057 21.2772i 0.770676 1.16250i
\(336\) −22.1160 + 1.18822i −1.20653 + 0.0648229i
\(337\) 29.2685 7.84248i 1.59436 0.427207i 0.651026 0.759056i \(-0.274339\pi\)
0.943333 + 0.331848i \(0.107672\pi\)
\(338\) 0.128465 0.809598i 0.00698756 0.0440363i
\(339\) −1.00954 6.27413i −0.0548304 0.340764i
\(340\) 2.62994 + 17.7564i 0.142629 + 0.962977i
\(341\) 19.3471 1.04771
\(342\) 8.15568 6.66708i 0.441009 0.360515i
\(343\) 8.54600 8.54600i 0.461441 0.461441i
\(344\) 24.5429 27.2107i 1.32326 1.46710i
\(345\) 6.76432 8.23457i 0.364179 0.443334i
\(346\) 4.42507 3.21307i 0.237893 0.172736i
\(347\) 14.0405 3.76213i 0.753732 0.201962i 0.138559 0.990354i \(-0.455753\pi\)
0.615173 + 0.788392i \(0.289086\pi\)
\(348\) −11.0275 + 8.04380i −0.591138 + 0.431193i
\(349\) 3.15909 + 5.47171i 0.169102 + 0.292894i 0.938105 0.346352i \(-0.112580\pi\)
−0.769002 + 0.639246i \(0.779246\pi\)
\(350\) −19.7897 + 10.9240i −1.05780 + 0.583915i
\(351\) 0.823570 18.2940i 0.0439589 0.976463i
\(352\) 31.3877 8.36232i 1.67297 0.445713i
\(353\) −7.32305 + 27.3300i −0.389766 + 1.45463i 0.440748 + 0.897631i \(0.354713\pi\)
−0.830514 + 0.556997i \(0.811953\pi\)
\(354\) −0.765489 2.83223i −0.0406853 0.150531i
\(355\) −19.2559 + 17.0108i −1.02200 + 0.902841i
\(356\) 1.94309 + 9.16725i 0.102984 + 0.485863i
\(357\) 20.2805 9.08923i 1.07336 0.481053i
\(358\) 0.923862 + 0.748565i 0.0488276 + 0.0395629i
\(359\) 14.5359 0.767176 0.383588 0.923504i \(-0.374688\pi\)
0.383588 + 0.923504i \(0.374688\pi\)
\(360\) 0.890535 + 18.9528i 0.0469353 + 0.998898i
\(361\) −12.8353 −0.675541
\(362\) −1.90333 1.54219i −0.100037 0.0810556i
\(363\) −30.8440 22.2939i −1.61889 1.17013i
\(364\) −22.0428 + 4.67218i −1.15535 + 0.244889i
\(365\) −17.5622 1.08717i −0.919247 0.0569053i
\(366\) 8.68094 + 2.30585i 0.453760 + 0.120529i
\(367\) −8.44645 + 31.5226i −0.440901 + 1.64547i 0.285636 + 0.958338i \(0.407795\pi\)
−0.726537 + 0.687127i \(0.758871\pi\)
\(368\) −8.56128 + 6.91662i −0.446288 + 0.360554i
\(369\) −5.26218 4.69147i −0.273938 0.244228i
\(370\) 3.01919 3.28810i 0.156960 0.170940i
\(371\) 13.5660 + 23.4970i 0.704311 + 1.21990i
\(372\) 4.72716 10.6715i 0.245092 0.553291i
\(373\) 25.0339 6.70781i 1.29620 0.347317i 0.456191 0.889882i \(-0.349213\pi\)
0.840014 + 0.542565i \(0.182547\pi\)
\(374\) −26.3749 + 19.1510i −1.36381 + 0.990274i
\(375\) 9.24424 + 17.0160i 0.477370 + 0.878702i
\(376\) 20.8204 + 18.7791i 1.07373 + 0.968459i
\(377\) −9.81926 + 9.81926i −0.505717 + 0.505717i
\(378\) 22.2896 7.41737i 1.14645 0.381508i
\(379\) 5.55850 0.285521 0.142760 0.989757i \(-0.454402\pi\)
0.142760 + 0.989757i \(0.454402\pi\)
\(380\) −6.61648 + 8.91721i −0.339418 + 0.457443i
\(381\) −10.1251 + 8.24044i −0.518726 + 0.422171i
\(382\) −0.186031 + 1.17239i −0.00951818 + 0.0599846i
\(383\) −15.8091 + 4.23602i −0.807805 + 0.216451i −0.639008 0.769200i \(-0.720655\pi\)
−0.168797 + 0.985651i \(0.553988\pi\)
\(384\) 3.05659 19.3561i 0.155981 0.987760i
\(385\) −34.2111 22.6802i −1.74356 1.15589i
\(386\) −3.32044 1.47949i −0.169006 0.0753042i
\(387\) −17.4747 + 34.7168i −0.888289 + 1.76475i
\(388\) 0.124765 + 0.00661007i 0.00633397 + 0.000335575i
\(389\) 20.7331 11.9703i 1.05121 0.606916i 0.128222 0.991746i \(-0.459073\pi\)
0.922988 + 0.384830i \(0.125740\pi\)
\(390\) 3.87553 + 18.9101i 0.196245 + 0.957549i
\(391\) 5.52201 9.56441i 0.279260 0.483693i
\(392\) −4.95278 7.64093i −0.250153 0.385925i
\(393\) −17.2320 12.4552i −0.869241 0.628283i
\(394\) 38.7192 4.05837i 1.95064 0.204458i
\(395\) 4.22738 + 1.41794i 0.212703 + 0.0713441i
\(396\) −29.7621 + 17.3559i −1.49560 + 0.872169i
\(397\) 1.58413 1.58413i 0.0795050 0.0795050i −0.666236 0.745741i \(-0.732096\pi\)
0.745741 + 0.666236i \(0.232096\pi\)
\(398\) −1.92089 1.55641i −0.0962855 0.0780160i
\(399\) 12.8466 + 4.89517i 0.643136 + 0.245065i
\(400\) −5.79731 19.1413i −0.289866 0.957067i
\(401\) −28.7315 16.5882i −1.43478 0.828373i −0.437304 0.899314i \(-0.644067\pi\)
−0.997481 + 0.0709403i \(0.977400\pi\)
\(402\) 13.9297 24.2485i 0.694753 1.20941i
\(403\) 3.07330 11.4697i 0.153092 0.571346i
\(404\) −11.8553 + 10.6623i −0.589822 + 0.530469i
\(405\) −6.22581 19.1374i −0.309363 0.950944i
\(406\) −16.2715 7.25011i −0.807542 0.359817i
\(407\) 7.82963 + 2.09794i 0.388101 + 0.103991i
\(408\) 4.11903 + 19.2271i 0.203922 + 0.951884i
\(409\) −4.89606 2.82674i −0.242095 0.139774i 0.374044 0.927411i \(-0.377971\pi\)
−0.616139 + 0.787637i \(0.711304\pi\)
\(410\) 6.58803 + 3.43809i 0.325360 + 0.169795i
\(411\) 5.29234 13.8889i 0.261052 0.685090i
\(412\) 16.8756 8.58641i 0.831400 0.423022i
\(413\) 2.70744 2.70744i 0.133224 0.133224i
\(414\) 6.81788 9.47594i 0.335081 0.465717i
\(415\) 7.48125 + 15.0329i 0.367240 + 0.737934i
\(416\) 0.0284546 19.9362i 0.00139510 0.977451i
\(417\) 1.14009 + 0.824048i 0.0558302 + 0.0403538i
\(418\) −19.9135 3.15982i −0.974002 0.154552i
\(419\) 11.7668 + 6.79354i 0.574843 + 0.331886i 0.759081 0.650996i \(-0.225648\pi\)
−0.184238 + 0.982882i \(0.558982\pi\)
\(420\) −20.8689 + 13.3286i −1.01830 + 0.650370i
\(421\) −11.1286 + 6.42511i −0.542376 + 0.313141i −0.746041 0.665900i \(-0.768048\pi\)
0.203665 + 0.979041i \(0.434715\pi\)
\(422\) −22.9584 + 8.80538i −1.11760 + 0.428639i
\(423\) −26.5638 13.3709i −1.29157 0.650115i
\(424\) −22.8371 + 7.39862i −1.10907 + 0.359309i
\(425\) 12.3322 + 15.8327i 0.598201 + 0.767999i
\(426\) −19.8588 + 19.9453i −0.962164 + 0.966353i
\(427\) 3.03391 + 11.3227i 0.146821 + 0.547945i
\(428\) −15.8065 + 24.3094i −0.764034 + 1.17504i
\(429\) −27.1857 + 22.1253i −1.31254 + 1.06822i
\(430\) 8.90830 39.9889i 0.429596 1.92843i
\(431\) 35.5766i 1.71367i 0.515594 + 0.856833i \(0.327571\pi\)
−0.515594 + 0.856833i \(0.672429\pi\)
\(432\) 2.30132 + 20.6568i 0.110722 + 0.993851i
\(433\) 12.3211 12.3211i 0.592117 0.592117i −0.346086 0.938203i \(-0.612489\pi\)
0.938203 + 0.346086i \(0.112489\pi\)
\(434\) 15.1494 1.58789i 0.727194 0.0762213i
\(435\) −6.30460 + 13.8974i −0.302282 + 0.666330i
\(436\) 2.58919 + 12.2155i 0.124000 + 0.585016i
\(437\) 6.59896 1.76819i 0.315671 0.0845838i
\(438\) −19.2752 + 0.0418619i −0.921004 + 0.00200024i
\(439\) 7.70515 4.44857i 0.367747 0.212319i −0.304727 0.952440i \(-0.598565\pi\)
0.672474 + 0.740121i \(0.265232\pi\)
\(440\) 25.9434 25.4133i 1.23680 1.21153i
\(441\) 7.20901 + 6.42715i 0.343286 + 0.306055i
\(442\) 7.16376 + 18.6782i 0.340745 + 0.888429i
\(443\) −21.8144 5.84515i −1.03643 0.277712i −0.299799 0.954002i \(-0.596920\pi\)
−0.736635 + 0.676291i \(0.763586\pi\)
\(444\) 3.07023 3.80607i 0.145707 0.180628i
\(445\) 6.93647 + 7.85194i 0.328820 + 0.372217i
\(446\) 12.9857 9.42899i 0.614890 0.446475i
\(447\) −6.33933 + 8.77057i −0.299840 + 0.414834i
\(448\) 23.8912 9.12406i 1.12875 0.431071i
\(449\) 31.0106 1.46348 0.731740 0.681584i \(-0.238708\pi\)
0.731740 + 0.681584i \(0.238708\pi\)
\(450\) 11.2979 + 17.9543i 0.532589 + 0.846374i
\(451\) 13.4938i 0.635399i
\(452\) 3.32762 + 6.54005i 0.156518 + 0.307618i
\(453\) −0.553322 + 0.247986i −0.0259973 + 0.0116514i
\(454\) −10.0869 13.8917i −0.473400 0.651971i
\(455\) −18.8801 + 16.6788i −0.885111 + 0.781915i
\(456\) −6.60844 + 10.2119i −0.309468 + 0.478214i
\(457\) −5.11886 + 19.1038i −0.239450 + 0.893640i 0.736642 + 0.676283i \(0.236410\pi\)
−0.976092 + 0.217357i \(0.930256\pi\)
\(458\) −11.0066 28.6976i −0.514304 1.34095i
\(459\) −9.60523 18.5127i −0.448334 0.864098i
\(460\) −4.52488 + 11.4431i −0.210973 + 0.533537i
\(461\) 3.67020 + 6.35697i 0.170938 + 0.296074i 0.938748 0.344604i \(-0.111987\pi\)
−0.767810 + 0.640678i \(0.778653\pi\)
\(462\) −38.9885 22.3973i −1.81391 1.04202i
\(463\) −4.07960 15.2253i −0.189595 0.707578i −0.993600 0.112955i \(-0.963968\pi\)
0.804005 0.594622i \(-0.202698\pi\)
\(464\) 9.27869 12.7404i 0.430752 0.591459i
\(465\) −1.27304 12.9870i −0.0590357 0.602259i
\(466\) 34.2595 3.59094i 1.58704 0.166347i
\(467\) 3.68334 + 3.68334i 0.170445 + 0.170445i 0.787175 0.616730i \(-0.211543\pi\)
−0.616730 + 0.787175i \(0.711543\pi\)
\(468\) 5.56153 + 20.4010i 0.257082 + 0.943039i
\(469\) 36.4962 1.68524
\(470\) 30.5977 + 6.81624i 1.41137 + 0.314410i
\(471\) 25.2883 4.06900i 1.16522 0.187490i
\(472\) 1.84265 + 2.84276i 0.0848149 + 0.130849i
\(473\) 71.8582 19.2543i 3.30404 0.885315i
\(474\) 4.72072 + 1.25393i 0.216830 + 0.0575950i
\(475\) −1.53114 + 12.3196i −0.0702537 + 0.565264i
\(476\) −19.0805 + 17.1605i −0.874555 + 0.786550i
\(477\) 21.2857 13.9723i 0.974607 0.639749i
\(478\) −5.39145 14.0572i −0.246599 0.642962i
\(479\) −6.67476 11.5610i −0.304977 0.528236i 0.672279 0.740298i \(-0.265316\pi\)
−0.977256 + 0.212062i \(0.931982\pi\)
\(480\) −7.67863 20.5192i −0.350480 0.936570i
\(481\) 2.48748 4.30844i 0.113419 0.196448i
\(482\) −10.6061 1.68294i −0.483093 0.0766558i
\(483\) 15.1556 + 1.55527i 0.689603 + 0.0707673i
\(484\) 41.7864 + 13.6036i 1.89938 + 0.618345i
\(485\) 0.125057 0.0622356i 0.00567852 0.00282597i
\(486\) −8.14678 20.4849i −0.369546 0.929213i
\(487\) −6.04739 6.04739i −0.274033 0.274033i 0.556688 0.830722i \(-0.312072\pi\)
−0.830722 + 0.556688i \(0.812072\pi\)
\(488\) −10.3577 + 0.533931i −0.468872 + 0.0241699i
\(489\) −25.8882 + 21.0694i −1.17071 + 0.952792i
\(490\) −9.02538 4.71007i −0.407725 0.212779i
\(491\) 7.49417 12.9803i 0.338207 0.585792i −0.645888 0.763432i \(-0.723513\pi\)
0.984096 + 0.177640i \(0.0568462\pi\)
\(492\) 7.44292 + 3.29699i 0.335553 + 0.148640i
\(493\) −4.09331 + 15.2765i −0.184354 + 0.688017i
\(494\) −5.03652 + 11.3035i −0.226604 + 0.508570i
\(495\) −19.4114 + 33.2710i −0.872479 + 1.49542i
\(496\) −1.42406 + 13.4018i −0.0639421 + 0.601758i
\(497\) −35.4809 9.50707i −1.59153 0.426450i
\(498\) 9.23169 + 15.9099i 0.413682 + 0.712938i
\(499\) 10.6152 18.3861i 0.475202 0.823074i −0.524395 0.851475i \(-0.675708\pi\)
0.999597 + 0.0284014i \(0.00904167\pi\)
\(500\) −16.1769 15.4372i −0.723453 0.690374i
\(501\) −19.2685 + 3.10038i −0.860852 + 0.138515i
\(502\) −15.4963 + 19.1251i −0.691632 + 0.853596i
\(503\) 25.5226 + 25.5226i 1.13799 + 1.13799i 0.988809 + 0.149185i \(0.0476651\pi\)
0.149185 + 0.988809i \(0.452335\pi\)
\(504\) −21.8801 + 16.0329i −0.974618 + 0.714162i
\(505\) −5.66897 + 16.9013i −0.252266 + 0.752096i
\(506\) −22.2225 + 2.32927i −0.987911 + 0.103549i
\(507\) −0.410598 0.916154i −0.0182353 0.0406878i
\(508\) 8.21720 12.6376i 0.364579 0.560702i
\(509\) −0.783871 0.452568i −0.0347445 0.0200597i 0.482527 0.875881i \(-0.339719\pi\)
−0.517272 + 0.855821i \(0.673052\pi\)
\(510\) 14.5908 + 16.4444i 0.646093 + 0.728170i
\(511\) −12.5778 21.7854i −0.556411 0.963731i
\(512\) 3.48228 + 22.3579i 0.153896 + 0.988087i
\(513\) 3.89621 12.2991i 0.172022 0.543017i
\(514\) −18.0589 8.04651i −0.796543 0.354916i
\(515\) 11.6972 17.6441i 0.515439 0.777494i
\(516\) 6.93706 44.3400i 0.305387 1.95196i
\(517\) 14.7326 + 54.9827i 0.647938 + 2.41814i
\(518\) 6.30302 + 1.00015i 0.276939 + 0.0439439i
\(519\) 2.38483 6.25861i 0.104682 0.274723i
\(520\) −10.9448 19.4171i −0.479963 0.851498i
\(521\) 30.6904i 1.34457i −0.740293 0.672285i \(-0.765313\pi\)
0.740293 0.672285i \(-0.234687\pi\)
\(522\) −5.91859 + 15.6344i −0.259050 + 0.684298i
\(523\) 24.8363 + 24.8363i 1.08602 + 1.08602i 0.995934 + 0.0900807i \(0.0287125\pi\)
0.0900807 + 0.995934i \(0.471288\pi\)
\(524\) 23.3454 + 7.60010i 1.01985 + 0.332012i
\(525\) −12.9733 + 24.4570i −0.566201 + 1.06739i
\(526\) 7.11361 + 9.79693i 0.310168 + 0.427166i
\(527\) −3.50017 13.0628i −0.152470 0.569026i
\(528\) 26.5810 29.5994i 1.15679 1.28815i
\(529\) −13.3620 + 7.71453i −0.580955 + 0.335414i
\(530\) −18.1526 + 19.7694i −0.788497 + 0.858726i
\(531\) −2.68207 2.39118i −0.116392 0.103768i
\(532\) −15.8522 0.839855i −0.687281 0.0364123i
\(533\) 7.99963 + 2.14349i 0.346502 + 0.0928450i
\(534\) 8.13306 + 8.09781i 0.351952 + 0.350426i
\(535\) −2.00304 + 32.3570i −0.0865989 + 1.39892i
\(536\) −6.74071 + 31.5795i −0.291154 + 1.36403i
\(537\) 1.44869 + 0.148665i 0.0625156 + 0.00641538i
\(538\) −27.5685 22.3376i −1.18856 0.963041i
\(539\) 18.4861i 0.796251i
\(540\) 13.6088 + 18.8362i 0.585627 + 0.810580i
\(541\) 29.3561i 1.26212i −0.775735 0.631059i \(-0.782621\pi\)
0.775735 0.631059i \(-0.217379\pi\)
\(542\) 24.9006 30.7317i 1.06957 1.32004i
\(543\) −2.98458 0.306279i −0.128081 0.0131437i
\(544\) −11.3246 19.6796i −0.485537 0.843754i
\(545\) 9.24294 + 10.4628i 0.395924 + 0.448178i
\(546\) −19.4713 + 19.5560i −0.833293 + 0.836921i
\(547\) −1.60105 0.428999i −0.0684557 0.0183427i 0.224429 0.974491i \(-0.427948\pi\)
−0.292884 + 0.956148i \(0.594615\pi\)
\(548\) −0.907996 + 17.1384i −0.0387877 + 0.732115i
\(549\) 10.4454 3.45075i 0.445797 0.147274i
\(550\) 11.2606 39.0106i 0.480152 1.66342i
\(551\) −8.47254 + 4.89163i −0.360943 + 0.208390i
\(552\) −4.14493 + 12.8266i −0.176420 + 0.545937i
\(553\) 1.64985 + 6.15734i 0.0701589 + 0.261837i
\(554\) 31.7080 23.0234i 1.34714 0.978169i
\(555\) 0.893086 5.39379i 0.0379094 0.228954i
\(556\) −1.54455 0.502829i −0.0655034 0.0213247i
\(557\) 8.31483 + 8.31483i 0.352311 + 0.352311i 0.860969 0.508658i \(-0.169858\pi\)
−0.508658 + 0.860969i \(0.669858\pi\)
\(558\) −2.30153 14.1083i −0.0974314 0.597251i
\(559\) 45.6587i 1.93116i
\(560\) 18.2287 22.0287i 0.770304 0.930881i
\(561\) −14.2144 + 37.3034i −0.600131 + 1.57495i
\(562\) 0.0841665 0.530426i 0.00355035 0.0223747i
\(563\) 1.62658 + 6.07050i 0.0685524 + 0.255841i 0.991694 0.128619i \(-0.0410544\pi\)
−0.923142 + 0.384460i \(0.874388\pi\)
\(564\) 33.9270 + 5.30793i 1.42859 + 0.223504i
\(565\) 6.83790 + 4.53318i 0.287673 + 0.190712i
\(566\) 0.0497973 0.111761i 0.00209314 0.00469766i
\(567\) 17.8855 22.5361i 0.751121 0.946428i
\(568\) 14.7795 28.9451i 0.620134 1.21451i
\(569\) 16.1576 + 27.9858i 0.677363 + 1.17323i 0.975772 + 0.218790i \(0.0702108\pi\)
−0.298409 + 0.954438i \(0.596456\pi\)
\(570\) −0.810767 + 13.5751i −0.0339593 + 0.568600i
\(571\) −23.5113 13.5743i −0.983919 0.568066i −0.0804680 0.996757i \(-0.525641\pi\)
−0.903451 + 0.428691i \(0.858975\pi\)
\(572\) 22.0629 33.9315i 0.922498 1.41875i
\(573\) 0.594592 + 1.32669i 0.0248394 + 0.0554234i
\(574\) 1.10749 + 10.5661i 0.0462256 + 0.441018i
\(575\) 1.89456 + 13.6266i 0.0790088 + 0.568268i
\(576\) −9.83183 21.8937i −0.409660 0.912238i
\(577\) −30.4806 30.4806i −1.26892 1.26892i −0.946645 0.322278i \(-0.895551\pi\)
−0.322278 0.946645i \(-0.604449\pi\)
\(578\) −0.977541 0.792059i −0.0406603 0.0329453i
\(579\) −4.39558 + 0.707268i −0.182674 + 0.0293931i
\(580\) 2.01773 17.5055i 0.0837818 0.726878i
\(581\) −12.0029 + 20.7897i −0.497966 + 0.862502i
\(582\) 0.132352 0.0767972i 0.00548617 0.00318335i
\(583\) −47.0749 12.6137i −1.94964 0.522405i
\(584\) 21.1737 6.85970i 0.876173 0.283856i
\(585\) 16.6408 + 16.7929i 0.688010 + 0.694301i
\(586\) 28.7471 + 12.8089i 1.18753 + 0.529129i
\(587\) 3.52924 13.1713i 0.145667 0.543638i −0.854057 0.520179i \(-0.825865\pi\)
0.999725 0.0234595i \(-0.00746807\pi\)
\(588\) −10.1965 4.51677i −0.420498 0.186268i
\(589\) 4.18281 7.24483i 0.172350 0.298518i
\(590\) 3.35784 + 1.75235i 0.138240 + 0.0721432i
\(591\) 36.9811 30.0975i 1.52120 1.23805i
\(592\) −2.02955 + 5.26918i −0.0834142 + 0.216562i
\(593\) −7.23788 7.23788i −0.297224 0.297224i 0.542702 0.839926i \(-0.317401\pi\)
−0.839926 + 0.542702i \(0.817401\pi\)
\(594\) −18.8897 + 37.7318i −0.775055 + 1.54816i
\(595\) −9.12396 + 27.2018i −0.374046 + 1.11517i
\(596\) 3.86822 11.8821i 0.158448 0.486708i
\(597\) −3.01211 0.309104i −0.123278 0.0126508i
\(598\) −2.14917 + 13.5443i −0.0878863 + 0.553869i
\(599\) −1.81260 + 3.13951i −0.0740607 + 0.128277i −0.900677 0.434488i \(-0.856929\pi\)
0.826617 + 0.562765i \(0.190263\pi\)
\(600\) −18.7661 15.7427i −0.766124 0.642693i
\(601\) 8.24488 + 14.2805i 0.336316 + 0.582516i 0.983737 0.179617i \(-0.0574858\pi\)
−0.647421 + 0.762132i \(0.724152\pi\)
\(602\) 54.6868 20.9744i 2.22887 0.854852i
\(603\) −1.96056 34.1935i −0.0798401 1.39247i
\(604\) 0.520584 0.468198i 0.0211822 0.0190507i
\(605\) 48.1528 9.75976i 1.95769 0.396791i
\(606\) −5.01327 + 18.8737i −0.203650 + 0.766690i
\(607\) 11.7986 3.16141i 0.478888 0.128318i −0.0112966 0.999936i \(-0.503596\pi\)
0.490185 + 0.871618i \(0.336929\pi\)
\(608\) 3.65456 13.5615i 0.148212 0.549993i
\(609\) −21.5401 + 3.46590i −0.872850 + 0.140445i
\(610\) −9.78606 + 6.22032i −0.396226 + 0.251854i
\(611\) 34.9360 1.41336
\(612\) 17.1028 + 16.9549i 0.691339 + 0.685360i
\(613\) −29.1195 29.1195i −1.17613 1.17613i −0.980723 0.195405i \(-0.937398\pi\)
−0.195405 0.980723i \(-0.562602\pi\)
\(614\) −0.195308 1.86335i −0.00788199 0.0751986i
\(615\) 9.05791 0.887890i 0.365250 0.0358032i
\(616\) 50.7759 + 10.8382i 2.04582 + 0.436684i
\(617\) 4.76270 + 17.7746i 0.191739 + 0.715580i 0.993087 + 0.117382i \(0.0374500\pi\)
−0.801348 + 0.598199i \(0.795883\pi\)
\(618\) 11.5513 20.1081i 0.464660 0.808867i
\(619\) −2.33297 4.04082i −0.0937700 0.162414i 0.815325 0.579004i \(-0.196558\pi\)
−0.909095 + 0.416590i \(0.863225\pi\)
\(620\) 5.99025 + 13.8261i 0.240574 + 0.555271i
\(621\) 0.642996 14.2829i 0.0258025 0.573154i
\(622\) 9.30593 3.56916i 0.373134 0.143110i
\(623\) −3.87668 + 14.4680i −0.155316 + 0.579647i
\(624\) −13.3252 20.4601i −0.533436 0.819059i
\(625\) −24.2394 6.11971i −0.969577 0.244788i
\(626\) −10.9965 + 7.98460i −0.439507 + 0.319129i
\(627\) −22.5344 + 10.0994i −0.899939 + 0.403331i
\(628\) −26.3601 + 13.4122i −1.05188 + 0.535204i
\(629\) 5.66597i 0.225917i
\(630\) −12.4691 + 27.6453i −0.496779 + 1.10142i
\(631\) −0.389311 −0.0154982 −0.00774912 0.999970i \(-0.502467\pi\)
−0.00774912 + 0.999970i \(0.502467\pi\)
\(632\) −5.63257 + 0.290354i −0.224051 + 0.0115496i
\(633\) −17.6414 + 24.4073i −0.701184 + 0.970101i
\(634\) 4.46347 + 6.14712i 0.177267 + 0.244133i
\(635\) 1.04131 16.8212i 0.0413230 0.667530i
\(636\) −18.4594 + 22.8836i −0.731964 + 0.907395i
\(637\) −10.9592 2.93651i −0.434220 0.116349i
\(638\) 29.8756 11.4584i 1.18279 0.453642i
\(639\) −7.00123 + 33.7530i −0.276964 + 1.33525i
\(640\) 15.6943 + 19.8416i 0.620370 + 0.784309i
\(641\) 0.700633 0.404511i 0.0276733 0.0159772i −0.486100 0.873903i \(-0.661581\pi\)
0.513773 + 0.857926i \(0.328247\pi\)
\(642\) 0.0771275 + 35.5131i 0.00304398 + 1.40159i
\(643\) −35.0035 + 9.37917i −1.38041 + 0.369878i −0.871268 0.490807i \(-0.836702\pi\)
−0.509137 + 0.860686i \(0.670035\pi\)
\(644\) −17.2097 + 3.64777i −0.678158 + 0.143742i
\(645\) −17.6530 46.9689i −0.695086 1.84940i
\(646\) 1.46919 + 14.0169i 0.0578045 + 0.551487i
\(647\) 26.7528 26.7528i 1.05176 1.05176i 0.0531745 0.998585i \(-0.483066\pi\)
0.998585 0.0531745i \(-0.0169340\pi\)
\(648\) 16.1967 + 19.6384i 0.636268 + 0.771468i
\(649\) 6.87762i 0.269970i
\(650\) −21.3382 12.8725i −0.836951 0.504901i
\(651\) 14.4694 11.7760i 0.567099 0.461540i
\(652\) 21.0100 32.3121i 0.822814 1.26544i
\(653\) 2.17656 + 8.12303i 0.0851753 + 0.317879i 0.995347 0.0963519i \(-0.0307174\pi\)
−0.910172 + 0.414230i \(0.864051\pi\)
\(654\) 10.8374 + 10.7904i 0.423776 + 0.421940i
\(655\) 26.9022 5.45262i 1.05116 0.213051i
\(656\) −9.34718 0.993220i −0.364946 0.0387787i
\(657\) −19.7353 + 12.9546i −0.769946 + 0.505406i
\(658\) 16.0487 + 41.8439i 0.625643 + 1.63125i
\(659\) −10.5265 + 6.07746i −0.410053 + 0.236744i −0.690813 0.723034i \(-0.742747\pi\)
0.280759 + 0.959778i \(0.409414\pi\)
\(660\) 9.57710 43.4353i 0.372788 1.69072i
\(661\) −5.24333 3.02724i −0.203942 0.117746i 0.394551 0.918874i \(-0.370900\pi\)
−0.598493 + 0.801128i \(0.704234\pi\)
\(662\) 0.583495 3.67725i 0.0226782 0.142920i
\(663\) 19.8569 + 14.3525i 0.771178 + 0.557403i
\(664\) −15.7721 14.2257i −0.612076 0.552065i
\(665\) −15.8893 + 7.90746i −0.616160 + 0.306638i
\(666\) 0.598448 5.95908i 0.0231894 0.230910i
\(667\) −7.66631 + 7.66631i −0.296841 + 0.296841i
\(668\) 20.0851 10.2194i 0.777117 0.395402i
\(669\) 6.99844 18.3663i 0.270575 0.710083i
\(670\) 10.8209 + 34.4425i 0.418048 + 1.33063i
\(671\) −18.2348 10.5279i −0.703948 0.406425i
\(672\) 18.3844 25.3589i 0.709194 0.978239i
\(673\) −6.93453 1.85810i −0.267307 0.0716246i 0.122676 0.992447i \(-0.460852\pi\)
−0.389983 + 0.920822i \(0.627519\pi\)
\(674\) −17.4407 + 39.1424i −0.671790 + 1.50771i
\(675\) 23.6109 + 10.8410i 0.908783 + 0.417269i
\(676\) 0.775210 + 0.861947i 0.0298158 + 0.0331518i
\(677\) −9.68889 + 36.1594i −0.372374 + 1.38972i 0.484769 + 0.874642i \(0.338904\pi\)
−0.857143 + 0.515078i \(0.827763\pi\)
\(678\) 7.79279 + 4.47663i 0.299280 + 0.171924i
\(679\) 0.172947 + 0.0998509i 0.00663709 + 0.00383193i
\(680\) −21.8521 12.9189i −0.837992 0.495417i
\(681\) −19.6478 7.48674i −0.752905 0.286892i
\(682\) −17.2249 + 21.2586i −0.659575 + 0.814032i
\(683\) −28.9007 + 28.9007i −1.10586 + 1.10586i −0.112167 + 0.993689i \(0.535779\pi\)
−0.993689 + 0.112167i \(0.964221\pi\)
\(684\) 0.0647078 + 14.8972i 0.00247416 + 0.569608i
\(685\) 8.54902 + 17.1785i 0.326641 + 0.656355i
\(686\) 1.78175 + 16.9989i 0.0680275 + 0.649020i
\(687\) −30.5086 22.0515i −1.16398 0.841317i
\(688\) 8.04834 + 51.1935i 0.306840 + 1.95173i
\(689\) −14.9557 + 25.9040i −0.569767 + 0.986865i
\(690\) 3.02579 + 14.7639i 0.115190 + 0.562052i
\(691\) −26.4896 + 15.2938i −1.00771 + 0.581804i −0.910521 0.413462i \(-0.864320\pi\)
−0.0971922 + 0.995266i \(0.530986\pi\)
\(692\) −0.409160 + 7.72287i −0.0155539 + 0.293580i
\(693\) −54.9789 + 3.15233i −2.08848 + 0.119747i
\(694\) −8.36651 + 18.7771i −0.317589 + 0.712768i
\(695\) −1.77987 + 0.360750i −0.0675144 + 0.0136840i
\(696\) 0.979396 19.2785i 0.0371239 0.730748i
\(697\) 9.11077 2.44122i 0.345095 0.0924679i
\(698\) −8.82486 1.40030i −0.334026 0.0530022i
\(699\) 32.7217 26.6309i 1.23765 1.00727i
\(700\) 5.61562 31.4706i 0.212250 1.18948i
\(701\) −20.9179 −0.790057 −0.395028 0.918669i \(-0.629265\pi\)
−0.395028 + 0.918669i \(0.629265\pi\)
\(702\) 19.3682 + 17.1922i 0.731005 + 0.648879i
\(703\) 2.47836 2.47836i 0.0934730 0.0934730i
\(704\) −18.7562 + 41.9338i −0.706903 + 1.58044i
\(705\) 35.9385 13.5073i 1.35352 0.508714i
\(706\) −23.5103 32.3786i −0.884823 1.21859i
\(707\) −24.6173 + 6.59619i −0.925829 + 0.248075i
\(708\) 3.79356 + 1.68043i 0.142571 + 0.0631546i
\(709\) −3.93066 6.80810i −0.147619 0.255684i 0.782728 0.622364i \(-0.213828\pi\)
−0.930347 + 0.366680i \(0.880494\pi\)
\(710\) −1.54778 36.3032i −0.0580870 1.36243i
\(711\) 5.68023 1.87653i 0.213025 0.0703754i
\(712\) −11.8029 6.02661i −0.442332 0.225857i
\(713\) 2.39945 8.95488i 0.0898602 0.335363i
\(714\) −8.06864 + 30.3763i −0.301961 + 1.13681i
\(715\) 2.79588 45.1645i 0.104560 1.68906i
\(716\) −1.64504 + 0.348683i −0.0614781 + 0.0130309i
\(717\) −14.9443 10.8017i −0.558106 0.403396i
\(718\) −12.9414 + 15.9720i −0.482970 + 0.596070i
\(719\) 16.1134 0.600928 0.300464 0.953793i \(-0.402858\pi\)
0.300464 + 0.953793i \(0.402858\pi\)
\(720\) −21.6181 15.8953i −0.805658 0.592381i
\(721\) 30.2645 1.12711
\(722\) 11.4273 14.1034i 0.425281 0.524872i
\(723\) −12.0020 + 5.37901i −0.446359 + 0.200047i
\(724\) 3.38910 0.718353i 0.125955 0.0266974i
\(725\) −7.67113 18.1466i −0.284899 0.673946i
\(726\) 51.9571 14.0429i 1.92831 0.521180i
\(727\) −1.95861 + 7.30962i −0.0726407 + 0.271099i −0.992688 0.120709i \(-0.961483\pi\)
0.920047 + 0.391807i \(0.128150\pi\)
\(728\) 14.4910 28.3802i 0.537074 1.05184i
\(729\) −22.0751 15.5464i −0.817595 0.575794i
\(730\) 16.8303 18.3293i 0.622918 0.678400i
\(731\) −26.0003 45.0339i −0.961657 1.66564i
\(732\) −10.2624 + 7.48566i −0.379308 + 0.276678i
\(733\) 20.7592 5.56240i 0.766758 0.205452i 0.145819 0.989311i \(-0.453418\pi\)
0.620939 + 0.783859i \(0.286752\pi\)
\(734\) −27.1170 37.3457i −1.00091 1.37846i
\(735\) −12.4090 + 1.21638i −0.457714 + 0.0448668i
\(736\) 0.0222157 15.5650i 0.000818881 0.573734i
\(737\) −46.3550 + 46.3550i −1.70751 + 1.70751i
\(738\) 9.83992 1.60522i 0.362213 0.0590889i
\(739\) 9.06153 0.333334 0.166667 0.986013i \(-0.446700\pi\)
0.166667 + 0.986013i \(0.446700\pi\)
\(740\) 0.924945 + 6.24489i 0.0340016 + 0.229567i
\(741\) 2.40770 + 14.9635i 0.0884490 + 0.549699i
\(742\) −37.8963 6.01327i −1.39122 0.220754i
\(743\) 34.1284 9.14469i 1.25205 0.335486i 0.428922 0.903341i \(-0.358893\pi\)
0.823128 + 0.567855i \(0.192227\pi\)
\(744\) 7.51718 + 14.6951i 0.275593 + 0.538748i
\(745\) −2.77521 13.6924i −0.101676 0.501650i
\(746\) −14.9173 + 33.4791i −0.546162 + 1.22576i
\(747\) 20.1228 + 10.1288i 0.736256 + 0.370595i
\(748\) 2.43873 46.0309i 0.0891688 1.68306i
\(749\) −40.1381 + 23.1737i −1.46661 + 0.846750i
\(750\) −26.9273 4.99193i −0.983247 0.182279i
\(751\) −14.9075 + 25.8206i −0.543983 + 0.942207i 0.454687 + 0.890651i \(0.349751\pi\)
−0.998670 + 0.0515555i \(0.983582\pi\)
\(752\) −39.1710 + 6.15824i −1.42842 + 0.224568i
\(753\) −3.07756 + 29.9898i −0.112153 + 1.09289i
\(754\) −2.04721 19.5315i −0.0745549 0.711296i
\(755\) 0.248933 0.742161i 0.00905961 0.0270100i
\(756\) −11.6944 + 31.0955i −0.425322 + 1.13093i
\(757\) 11.3866 11.3866i 0.413852 0.413852i −0.469226 0.883078i \(-0.655467\pi\)
0.883078 + 0.469226i \(0.155467\pi\)
\(758\) −4.94877 + 6.10766i −0.179747 + 0.221840i
\(759\) −21.2250 + 17.2742i −0.770419 + 0.627013i
\(760\) −3.90750 15.2092i −0.141740 0.551697i
\(761\) 27.6468 + 15.9619i 1.00219 + 0.578617i 0.908897 0.417021i \(-0.136926\pi\)
0.0932976 + 0.995638i \(0.470259\pi\)
\(762\) −0.0400958 18.4620i −0.00145252 0.668807i
\(763\) −5.16573 + 19.2788i −0.187012 + 0.697938i
\(764\) −1.12259 1.24820i −0.0406139 0.0451581i
\(765\) 25.9758 + 7.08704i 0.939155 + 0.256232i
\(766\) 9.42039 21.1423i 0.340372 0.763902i
\(767\) 4.07731 + 1.09251i 0.147223 + 0.0394483i
\(768\) 18.5471 + 20.5914i 0.669260 + 0.743029i
\(769\) −35.2075 20.3271i −1.26962 0.733014i −0.294701 0.955589i \(-0.595220\pi\)
−0.974915 + 0.222576i \(0.928553\pi\)
\(770\) 55.3792 17.3987i 1.99573 0.627004i
\(771\) −23.9062 + 3.84661i −0.860962 + 0.138532i
\(772\) 4.58187 2.33129i 0.164905 0.0839049i
\(773\) −29.7114 + 29.7114i −1.06865 + 1.06865i −0.0711828 + 0.997463i \(0.522677\pi\)
−0.997463 + 0.0711828i \(0.977323\pi\)
\(774\) −22.5888 50.1098i −0.811938 1.80116i
\(775\) 13.4393 + 10.1584i 0.482752 + 0.364900i
\(776\) −0.118342 + 0.131206i −0.00424823 + 0.00471002i
\(777\) 7.13260 3.19666i 0.255880 0.114680i
\(778\) −5.30595 + 33.4386i −0.190227 + 1.19883i
\(779\) 5.05296 + 2.91733i 0.181041 + 0.104524i
\(780\) −24.2287 12.5774i −0.867528 0.450342i
\(781\) 57.1406 32.9902i 2.04465 1.18048i
\(782\) 5.59305 + 14.5828i 0.200007 + 0.521481i
\(783\) 4.40435 + 19.9949i 0.157399 + 0.714560i
\(784\) 12.8053 + 1.36068i 0.457333 + 0.0485956i
\(785\) −18.2713 + 27.5606i −0.652129 + 0.983680i
\(786\) 29.0275 7.84552i 1.03538 0.279840i
\(787\) −5.45743 20.3674i −0.194536 0.726020i −0.992386 0.123164i \(-0.960696\pi\)
0.797850 0.602856i \(-0.205971\pi\)
\(788\) −30.0126 + 46.1577i −1.06916 + 1.64430i
\(789\) 13.8563 + 5.27991i 0.493298 + 0.187970i
\(790\) −5.32169 + 3.38263i −0.189337 + 0.120349i
\(791\) 11.7288i 0.417030i
\(792\) 7.42674 48.1546i 0.263898 1.71110i
\(793\) −9.13793 + 9.13793i −0.324497 + 0.324497i
\(794\) 0.330273 + 3.15099i 0.0117210 + 0.111824i
\(795\) −5.36959 + 32.4296i −0.190440 + 1.15016i
\(796\) 3.42036 0.724980i 0.121232 0.0256962i
\(797\) −30.4465 + 8.15812i −1.07847 + 0.288976i −0.753969 0.656909i \(-0.771863\pi\)
−0.324502 + 0.945885i \(0.605197\pi\)
\(798\) −16.8162 + 9.75762i −0.595288 + 0.345416i
\(799\) 34.4580 19.8943i 1.21904 0.703810i
\(800\) 26.1938 + 10.6716i 0.926092 + 0.377298i
\(801\) 13.7634 + 2.85488i 0.486306 + 0.100872i
\(802\) 43.8069 16.8016i 1.54688 0.593283i
\(803\) 43.6459 + 11.6949i 1.54023 + 0.412704i
\(804\) 14.2424 + 36.8946i 0.502291 + 1.30117i
\(805\) −14.7405 + 13.0219i −0.519533 + 0.458961i
\(806\) 9.86668 + 13.5885i 0.347539 + 0.478634i
\(807\) −43.2297 4.43625i −1.52176 0.156163i
\(808\) −1.16085 22.5192i −0.0408384 0.792224i
\(809\) 1.12377 0.0395096 0.0197548 0.999805i \(-0.493711\pi\)
0.0197548 + 0.999805i \(0.493711\pi\)
\(810\) 26.5710 + 10.1973i 0.933608 + 0.358295i
\(811\) 36.6040i 1.28534i −0.766143 0.642670i \(-0.777827\pi\)
0.766143 0.642670i \(-0.222173\pi\)
\(812\) 22.4530 11.4243i 0.787947 0.400913i
\(813\) 4.94526 48.1898i 0.173438 1.69009i
\(814\) −9.27599 + 6.73536i −0.325123 + 0.236074i
\(815\) 2.66244 43.0090i 0.0932613 1.50654i
\(816\) −24.7939 12.5921i −0.867960 0.440810i
\(817\) 8.32549 31.0711i 0.291272 1.08704i
\(818\) 7.46502 2.86311i 0.261008 0.100106i
\(819\) −6.86459 + 33.0943i −0.239868 + 1.15641i
\(820\) −9.64314 + 4.17795i −0.336753 + 0.145900i
\(821\) −13.8373 23.9670i −0.482926 0.836453i 0.516882 0.856057i \(-0.327093\pi\)
−0.999808 + 0.0196042i \(0.993759\pi\)
\(822\) 10.5493 + 18.1806i 0.367949 + 0.634122i
\(823\) 0.448721 + 1.67465i 0.0156414 + 0.0583746i 0.973305 0.229514i \(-0.0737135\pi\)
−0.957664 + 0.287888i \(0.907047\pi\)
\(824\) −5.58974 + 26.1874i −0.194728 + 0.912280i
\(825\) −14.5858 47.5415i −0.507813 1.65518i
\(826\) 0.564472 + 5.38538i 0.0196405 + 0.187381i
\(827\) −10.0630 10.0630i −0.349926 0.349926i 0.510156 0.860082i \(-0.329588\pi\)
−0.860082 + 0.510156i \(0.829588\pi\)
\(828\) 4.34212 + 15.9280i 0.150899 + 0.553535i
\(829\) −29.1575 −1.01268 −0.506340 0.862334i \(-0.669002\pi\)
−0.506340 + 0.862334i \(0.669002\pi\)
\(830\) −23.1787 5.16350i −0.804543 0.179228i
\(831\) 17.0886 44.8463i 0.592796 1.55570i
\(832\) 21.8805 + 17.7806i 0.758568 + 0.616431i
\(833\) −12.4814 + 3.34439i −0.432456 + 0.115876i
\(834\) −1.92049 + 0.519066i −0.0665010 + 0.0179738i
\(835\) 13.9218 20.9999i 0.481785 0.726730i
\(836\) 21.2011 19.0677i 0.733257 0.659470i
\(837\) −11.8104 12.9239i −0.408226 0.446714i
\(838\) −17.9407 + 6.88093i −0.619752 + 0.237698i
\(839\) 5.52584 + 9.57104i 0.190773 + 0.330429i 0.945507 0.325603i \(-0.105567\pi\)
−0.754733 + 0.656032i \(0.772234\pi\)
\(840\) 3.93425 34.7972i 0.135745 1.20062i
\(841\) −6.73712 + 11.6690i −0.232315 + 0.402381i
\(842\) 2.84800 17.9484i 0.0981486 0.618543i
\(843\) −0.269013 0.600239i −0.00926529 0.0206733i
\(844\) 10.7647 33.0661i 0.370536 1.13818i
\(845\) 1.22882 + 0.412167i 0.0422727 + 0.0141790i
\(846\) 38.3418 17.2840i 1.31822 0.594235i
\(847\) 49.6679 + 49.6679i 1.70661 + 1.70661i
\(848\) 12.2025 31.6804i 0.419035 1.08791i
\(849\) −0.0238055 0.147948i −0.000817003 0.00507757i
\(850\) −28.3764 0.545359i −0.973303 0.0187057i
\(851\) 1.94208 3.36378i 0.0665736 0.115309i
\(852\) −4.23534 39.5783i −0.145100 1.35593i
\(853\) −1.42469 + 5.31700i −0.0487803 + 0.182051i −0.986017 0.166642i \(-0.946708\pi\)
0.937237 + 0.348693i \(0.113374\pi\)
\(854\) −15.1425 6.74705i −0.518165 0.230879i
\(855\) 8.26212 + 14.4620i 0.282559 + 0.494591i
\(856\) −12.6385 39.0109i −0.431975 1.33337i
\(857\) −25.1279 6.73301i −0.858354 0.229995i −0.197309 0.980341i \(-0.563220\pi\)
−0.661045 + 0.750346i \(0.729887\pi\)
\(858\) −0.107656 49.5698i −0.00367531 1.69229i
\(859\) 6.45647 11.1829i 0.220292 0.381557i −0.734605 0.678495i \(-0.762632\pi\)
0.954897 + 0.296939i \(0.0959657\pi\)
\(860\) 36.0085 + 45.3908i 1.22788 + 1.54781i
\(861\) 8.21329 + 10.0918i 0.279908 + 0.343927i
\(862\) −39.0915 31.6741i −1.33146 1.07882i
\(863\) −30.4423 30.4423i −1.03627 1.03627i −0.999317 0.0369496i \(-0.988236\pi\)
−0.0369496 0.999317i \(-0.511764\pi\)
\(864\) −24.7465 15.8622i −0.841893 0.539644i
\(865\) 3.85235 + 7.74094i 0.130984 + 0.263200i
\(866\) 2.56883 + 24.5080i 0.0872923 + 0.832817i
\(867\) −1.53286 0.157303i −0.0520588 0.00534230i
\(868\) −11.7428 + 18.0598i −0.398578 + 0.612989i
\(869\) −9.91617 5.72510i −0.336383 0.194211i
\(870\) −9.65740 19.3004i −0.327417 0.654346i
\(871\) 20.1174 + 34.8444i 0.681653 + 1.18066i
\(872\) −15.7275 8.03054i −0.532601 0.271948i
\(873\) 0.0842605 0.167399i 0.00285178 0.00566560i
\(874\) −3.93223 + 8.82514i −0.133010 + 0.298515i
\(875\) −11.8559 33.7173i −0.400802 1.13985i
\(876\) 17.1148 21.2168i 0.578257 0.716849i
\(877\) −0.0747806 0.279085i −0.00252516 0.00942403i 0.964652 0.263528i \(-0.0848861\pi\)
−0.967177 + 0.254104i \(0.918219\pi\)
\(878\) −1.97188 + 12.4270i −0.0665476 + 0.419390i
\(879\) 38.0552 6.12325i 1.28357 0.206532i
\(880\) 4.82644 + 51.1322i 0.162699 + 1.72367i
\(881\) 28.7115i 0.967315i −0.875257 0.483658i \(-0.839308\pi\)
0.875257 0.483658i \(-0.160692\pi\)
\(882\) −13.4804 + 2.19909i −0.453907 + 0.0740473i
\(883\) −23.0057 23.0057i −0.774205 0.774205i 0.204634 0.978839i \(-0.434400\pi\)
−0.978839 + 0.204634i \(0.934400\pi\)
\(884\) −26.9014 8.75779i −0.904793 0.294556i
\(885\) 4.61670 0.452546i 0.155189 0.0152122i
\(886\) 25.8442 18.7656i 0.868252 0.630443i
\(887\) −11.2761 42.0830i −0.378614 1.41301i −0.847991 0.530010i \(-0.822188\pi\)
0.469377 0.882998i \(-0.344478\pi\)
\(888\) 1.44865 + 6.76213i 0.0486136 + 0.226922i
\(889\) 20.8663 12.0472i 0.699834 0.404049i
\(890\) −14.8033 + 0.631134i −0.496207 + 0.0211557i
\(891\) 5.90689 + 51.3408i 0.197888 + 1.71998i
\(892\) −1.20071 + 22.6633i −0.0402027 + 0.758824i
\(893\) 23.7743 + 6.37030i 0.795576 + 0.213174i
\(894\) −3.99313 14.7741i −0.133550 0.494121i
\(895\) −1.40901 + 1.24473i −0.0470981 + 0.0416069i
\(896\) −11.2450 + 34.3748i −0.375670 + 1.14838i
\(897\) 6.86918 + 15.3270i 0.229355 + 0.511753i
\(898\) −27.6090 + 34.0743i −0.921323 + 1.13707i
\(899\) 13.2760i 0.442779i
\(900\) −29.7867 3.57073i −0.992891 0.119024i
\(901\) 34.0661i 1.13491i
\(902\) −14.8269 12.0136i −0.493683 0.400010i
\(903\) 42.0218 58.1380i 1.39840 1.93471i
\(904\) −10.1488 2.16627i −0.337543 0.0720492i
\(905\) 2.90283 2.56439i 0.0964935 0.0852432i
\(906\) 0.220141 0.828772i 0.00731369 0.0275341i
\(907\) −3.59579 0.963489i −0.119396 0.0319921i 0.198626 0.980075i \(-0.436352\pi\)
−0.318022 + 0.948083i \(0.603019\pi\)
\(908\) 24.2446 + 1.28448i 0.804585 + 0.0426271i
\(909\) 7.50245 + 22.7098i 0.248841 + 0.753237i
\(910\) −1.51757 35.5946i −0.0503069 1.17995i
\(911\) 44.7337 25.8270i 1.48209 0.855687i 0.482300 0.876006i \(-0.339801\pi\)
0.999794 + 0.0203188i \(0.00646812\pi\)
\(912\) −5.33721 16.3530i −0.176733 0.541502i
\(913\) −11.1604 41.6510i −0.369354 1.37845i
\(914\) −16.4339 22.6329i −0.543584 0.748629i
\(915\) −5.86714 + 12.9331i −0.193962 + 0.427556i
\(916\) 41.3321 + 13.4557i 1.36565 + 0.444589i
\(917\) 27.7486 + 27.7486i 0.916340 + 0.916340i
\(918\) 28.8933 + 5.92777i 0.953620 + 0.195646i
\(919\) 51.3540i 1.69401i 0.531584 + 0.847006i \(0.321597\pi\)
−0.531584 + 0.847006i \(0.678403\pi\)
\(920\) −8.54510 15.1598i −0.281724 0.499803i
\(921\) −1.44843 1.77971i −0.0477275 0.0586434i
\(922\) −10.2526 1.62686i −0.337652 0.0535777i
\(923\) −10.4810 39.1156i −0.344986 1.28750i
\(924\) 59.3218 22.9000i 1.95154 0.753355i
\(925\) 4.33722 + 5.56833i 0.142607 + 0.183085i
\(926\) 20.3615 + 9.07251i 0.669122 + 0.298141i
\(927\) −1.62580 28.3550i −0.0533981 0.931302i
\(928\) 5.73823 + 21.5383i 0.188366 + 0.707028i
\(929\) −10.9052 18.8883i −0.357788 0.619707i 0.629803 0.776755i \(-0.283136\pi\)
−0.987591 + 0.157048i \(0.949802\pi\)
\(930\) 15.4035 + 10.1636i 0.505101 + 0.333279i
\(931\) −6.92239 3.99664i −0.226872 0.130985i
\(932\) −26.5558 + 40.8413i −0.869864 + 1.33780i
\(933\) 7.15076 9.89320i 0.234105 0.323889i
\(934\) −7.32655 + 0.767937i −0.239732 + 0.0251277i
\(935\) −22.9613 46.1386i −0.750915 1.50889i
\(936\) −27.3681 12.0522i −0.894553 0.393939i
\(937\) −1.12278 1.12278i −0.0366797 0.0366797i 0.688529 0.725209i \(-0.258257\pi\)
−0.725209 + 0.688529i \(0.758257\pi\)
\(938\) −32.4928 + 40.1018i −1.06093 + 1.30937i
\(939\) −5.92638 + 15.5529i −0.193400 + 0.507549i
\(940\) −34.7310 + 27.5521i −1.13280 + 0.898651i
\(941\) 1.08517 1.87957i 0.0353755 0.0612722i −0.847796 0.530323i \(-0.822071\pi\)
0.883171 + 0.469051i \(0.155404\pi\)
\(942\) −18.0434 + 31.4094i −0.587885 + 1.02337i
\(943\) 6.24565 + 1.67352i 0.203386 + 0.0544972i
\(944\) −4.76414 0.506232i −0.155059 0.0164764i
\(945\) 5.73364 + 36.6979i 0.186515 + 1.19378i
\(946\) −42.8192 + 96.0997i −1.39217 + 3.12447i
\(947\) 0.110372 0.411913i 0.00358660 0.0133854i −0.964109 0.265506i \(-0.914461\pi\)
0.967696 + 0.252120i \(0.0811278\pi\)
\(948\) −5.58071 + 4.07073i −0.181253 + 0.132211i
\(949\) 13.8663 24.0172i 0.450120 0.779631i
\(950\) −12.1736 12.6507i −0.394964 0.410442i
\(951\) 8.69420 + 3.31290i 0.281929 + 0.107428i
\(952\) −1.86833 36.2437i −0.0605530 1.17467i
\(953\) −21.9052 21.9052i −0.709578 0.709578i 0.256869 0.966446i \(-0.417309\pi\)
−0.966446 + 0.256869i \(0.917309\pi\)
\(954\) −3.59811 + 35.8283i −0.116493 + 1.15999i
\(955\) −1.77947 0.596864i −0.0575822 0.0193141i
\(956\) 20.2461 + 6.59112i 0.654804 + 0.213172i
\(957\) 22.9567 31.7610i 0.742084 1.02669i
\(958\) 18.6458 + 2.95866i 0.602418 + 0.0955899i
\(959\) −13.7161 + 23.7569i −0.442915 + 0.767152i
\(960\) 29.3828 + 9.83116i 0.948325 + 0.317299i
\(961\) 9.82388 + 17.0155i 0.316899 + 0.548886i
\(962\) 2.51948 + 6.56906i 0.0812311 + 0.211795i
\(963\) 23.8678 + 36.3608i 0.769131 + 1.17171i
\(964\) 11.2919 10.1556i 0.363686 0.327089i
\(965\) 3.17589 4.79055i 0.102235 0.154213i
\(966\) −15.2020 + 15.2682i −0.489118 + 0.491247i
\(967\) −37.0948 + 9.93951i −1.19289 + 0.319633i −0.800026 0.599965i \(-0.795181\pi\)
−0.392861 + 0.919598i \(0.628515\pi\)
\(968\) −52.1503 + 33.8033i −1.67617 + 1.08648i
\(969\) 10.8957 + 13.3877i 0.350021 + 0.430075i
\(970\) −0.0429545 + 0.192820i −0.00137919 + 0.00619109i
\(971\) 53.8994 1.72971 0.864857 0.502019i \(-0.167409\pi\)
0.864857 + 0.502019i \(0.167409\pi\)
\(972\) 29.7618 + 9.28617i 0.954611 + 0.297854i
\(973\) −1.83587 1.83587i −0.0588553 0.0588553i
\(974\) 12.0289 1.26081i 0.385430 0.0403991i
\(975\) −30.5013 + 1.09505i −0.976823 + 0.0350695i
\(976\) 8.63487 11.8564i 0.276396 0.379514i
\(977\) −0.140284 0.523546i −0.00448808 0.0167497i 0.963645 0.267184i \(-0.0860932\pi\)
−0.968134 + 0.250434i \(0.919427\pi\)
\(978\) −0.102518 47.2041i −0.00327817 1.50942i
\(979\) −13.4523 23.3001i −0.429939 0.744675i
\(980\) 13.2108 5.72364i 0.422002 0.182835i
\(981\) 18.3399 + 3.80416i 0.585549 + 0.121458i
\(982\) 7.59058 + 19.7910i 0.242225 + 0.631557i
\(983\) −7.57578 + 28.2732i −0.241630 + 0.901775i 0.733417 + 0.679779i \(0.237924\pi\)
−0.975047 + 0.221997i \(0.928743\pi\)
\(984\) −10.2492 + 5.24292i −0.326733 + 0.167138i
\(985\) −3.80328 + 61.4381i −0.121183 + 1.95758i
\(986\) −13.1414 18.0985i −0.418508 0.576372i
\(987\) 44.4846 + 32.1532i 1.41596 + 1.02345i
\(988\) −7.93622 15.5977i −0.252485 0.496230i
\(989\) 35.6477i 1.13353i
\(990\) −19.2759 50.9506i −0.612628 1.61932i
\(991\) −54.2863 −1.72446 −0.862231 0.506515i \(-0.830934\pi\)
−0.862231 + 0.506515i \(0.830934\pi\)
\(992\) −13.4580 13.4965i −0.427292 0.428513i
\(993\) −1.86496 4.16123i −0.0591828 0.132053i
\(994\) 42.0352 30.5220i 1.33328 0.968100i
\(995\) 2.92961 2.58805i 0.0928749 0.0820465i
\(996\) −25.7007 4.02091i −0.814359 0.127407i
\(997\) 8.16217 + 2.18705i 0.258499 + 0.0692645i 0.385741 0.922607i \(-0.373946\pi\)
−0.127242 + 0.991872i \(0.540613\pi\)
\(998\) 10.7518 + 28.0332i 0.340341 + 0.887376i
\(999\) −3.37814 6.51086i −0.106879 0.205995i
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 360.2.br.e.77.18 256
5.3 odd 4 inner 360.2.br.e.293.50 yes 256
8.5 even 2 inner 360.2.br.e.77.28 yes 256
9.2 odd 6 inner 360.2.br.e.317.4 yes 256
40.13 odd 4 inner 360.2.br.e.293.4 yes 256
45.38 even 12 inner 360.2.br.e.173.28 yes 256
72.29 odd 6 inner 360.2.br.e.317.50 yes 256
360.173 even 12 inner 360.2.br.e.173.18 yes 256
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
360.2.br.e.77.18 256 1.1 even 1 trivial
360.2.br.e.77.28 yes 256 8.5 even 2 inner
360.2.br.e.173.18 yes 256 360.173 even 12 inner
360.2.br.e.173.28 yes 256 45.38 even 12 inner
360.2.br.e.293.4 yes 256 40.13 odd 4 inner
360.2.br.e.293.50 yes 256 5.3 odd 4 inner
360.2.br.e.317.4 yes 256 9.2 odd 6 inner
360.2.br.e.317.50 yes 256 72.29 odd 6 inner