Properties

Label 300.2.r.a.59.53
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
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] = [300,2,Mod(59,300)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(300, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([5, 5, 7]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("300.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), 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: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 59.53
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.53

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.37885 + 0.314289i) q^{2} +(-1.65397 - 0.514177i) q^{3} +(1.80244 + 0.866714i) q^{4} +(-1.94623 + 1.10099i) q^{5} +(-2.11898 - 1.22880i) q^{6} +2.63015 q^{7} +(2.21290 + 1.76156i) q^{8} +(2.47124 + 1.70087i) q^{9} +O(q^{10})\) \(q+(1.37885 + 0.314289i) q^{2} +(-1.65397 - 0.514177i) q^{3} +(1.80244 + 0.866714i) q^{4} +(-1.94623 + 1.10099i) q^{5} +(-2.11898 - 1.22880i) q^{6} +2.63015 q^{7} +(2.21290 + 1.76156i) q^{8} +(2.47124 + 1.70087i) q^{9} +(-3.02959 + 0.906413i) q^{10} +(0.908434 + 0.660016i) q^{11} +(-2.53555 - 2.36030i) q^{12} +(4.15899 + 5.72437i) q^{13} +(3.62658 + 0.826628i) q^{14} +(3.78512 - 0.820292i) q^{15} +(2.49761 + 3.12441i) q^{16} +(1.53447 - 4.72262i) q^{17} +(2.87291 + 3.12192i) q^{18} +(-6.71489 - 2.18180i) q^{19} +(-4.46222 + 0.297638i) q^{20} +(-4.35020 - 1.35236i) q^{21} +(1.04516 + 1.19557i) q^{22} +(-1.81587 + 2.49933i) q^{23} +(-2.75432 - 4.05138i) q^{24} +(2.57566 - 4.28556i) q^{25} +(3.93552 + 9.20016i) q^{26} +(-3.21282 - 4.08384i) q^{27} +(4.74070 + 2.27959i) q^{28} +(0.240777 - 0.0782332i) q^{29} +(5.47691 + 0.0585630i) q^{30} +(-4.71722 - 1.53272i) q^{31} +(2.46186 + 5.09306i) q^{32} +(-1.16316 - 1.55874i) q^{33} +(3.60007 - 6.02951i) q^{34} +(-5.11889 + 2.89576i) q^{35} +(2.98012 + 5.20758i) q^{36} +(-2.57019 - 3.53756i) q^{37} +(-8.57310 - 5.11879i) q^{38} +(-3.93553 - 11.6064i) q^{39} +(-6.24627 - 0.992030i) q^{40} +(-2.13451 - 2.93790i) q^{41} +(-5.57323 - 3.23192i) q^{42} +7.40077 q^{43} +(1.06536 + 1.97699i) q^{44} +(-6.68225 - 0.589479i) q^{45} +(-3.28932 + 2.87549i) q^{46} +(9.30818 - 3.02441i) q^{47} +(-2.52448 - 6.45190i) q^{48} -0.0823015 q^{49} +(4.89834 - 5.09963i) q^{50} +(-4.96624 + 7.02209i) q^{51} +(2.53497 + 13.9225i) q^{52} +(-0.355319 - 1.09356i) q^{53} +(-3.14649 - 6.64075i) q^{54} +(-2.49469 - 0.284372i) q^{55} +(5.82026 + 4.63316i) q^{56} +(9.98440 + 7.06127i) q^{57} +(0.356583 - 0.0321981i) q^{58} +(-1.37468 + 0.998760i) q^{59} +(7.53343 + 1.80208i) q^{60} +(-3.31802 - 2.41068i) q^{61} +(-6.02261 - 3.59595i) q^{62} +(6.49975 + 4.47354i) q^{63} +(1.79384 + 7.79629i) q^{64} +(-14.3968 - 6.56196i) q^{65} +(-1.11392 - 2.51484i) q^{66} +(-0.555298 + 1.70903i) q^{67} +(6.85897 - 7.18232i) q^{68} +(4.28850 - 3.20015i) q^{69} +(-7.96828 + 2.38400i) q^{70} +(-2.17375 - 6.69012i) q^{71} +(2.47244 + 8.11708i) q^{72} +(-1.35514 + 1.86519i) q^{73} +(-2.43208 - 5.68554i) q^{74} +(-6.46360 + 5.76385i) q^{75} +(-10.2122 - 9.75246i) q^{76} +(2.38932 + 1.73594i) q^{77} +(-1.77873 - 17.2404i) q^{78} +(-5.36703 + 1.74385i) q^{79} +(-8.30087 - 3.33099i) q^{80} +(3.21410 + 8.40652i) q^{81} +(-2.01981 - 4.72177i) q^{82} +(-8.73160 - 2.83707i) q^{83} +(-6.66888 - 6.20794i) q^{84} +(2.21310 + 10.8808i) q^{85} +(10.2045 + 2.32598i) q^{86} +(-0.438464 + 0.00559360i) q^{87} +(0.847617 + 3.06080i) q^{88} +(7.11762 - 9.79656i) q^{89} +(-9.02855 - 2.91296i) q^{90} +(10.9388 + 15.0559i) q^{91} +(-5.43921 + 2.93107i) q^{92} +(7.01406 + 4.96055i) q^{93} +(13.7851 - 1.24474i) q^{94} +(15.4709 - 3.14671i) q^{95} +(-1.45312 - 9.68961i) q^{96} +(1.59344 - 0.517741i) q^{97} +(-0.113481 - 0.0258665i) q^{98} +(1.12236 + 3.17619i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.37885 + 0.314289i 0.974993 + 0.222236i
\(3\) −1.65397 0.514177i −0.954921 0.296860i
\(4\) 1.80244 + 0.866714i 0.901222 + 0.433357i
\(5\) −1.94623 + 1.10099i −0.870383 + 0.492376i
\(6\) −2.11898 1.22880i −0.865068 0.501654i
\(7\) 2.63015 0.994104 0.497052 0.867721i \(-0.334416\pi\)
0.497052 + 0.867721i \(0.334416\pi\)
\(8\) 2.21290 + 1.76156i 0.782378 + 0.622804i
\(9\) 2.47124 + 1.70087i 0.823748 + 0.566956i
\(10\) −3.02959 + 0.906413i −0.958040 + 0.286633i
\(11\) 0.908434 + 0.660016i 0.273903 + 0.199002i 0.716254 0.697840i \(-0.245855\pi\)
−0.442351 + 0.896842i \(0.645855\pi\)
\(12\) −2.53555 2.36030i −0.731950 0.681359i
\(13\) 4.15899 + 5.72437i 1.15350 + 1.58765i 0.732787 + 0.680459i \(0.238219\pi\)
0.420711 + 0.907195i \(0.361781\pi\)
\(14\) 3.62658 + 0.826628i 0.969244 + 0.220926i
\(15\) 3.78512 0.820292i 0.977313 0.211799i
\(16\) 2.49761 + 3.12441i 0.624403 + 0.781102i
\(17\) 1.53447 4.72262i 0.372164 1.14540i −0.573207 0.819410i \(-0.694301\pi\)
0.945372 0.325994i \(-0.105699\pi\)
\(18\) 2.87291 + 3.12192i 0.677151 + 0.735844i
\(19\) −6.71489 2.18180i −1.54050 0.500539i −0.588986 0.808143i \(-0.700473\pi\)
−0.951515 + 0.307604i \(0.900473\pi\)
\(20\) −4.46222 + 0.297638i −0.997783 + 0.0665539i
\(21\) −4.35020 1.35236i −0.949291 0.295110i
\(22\) 1.04516 + 1.19557i 0.222828 + 0.254897i
\(23\) −1.81587 + 2.49933i −0.378635 + 0.521147i −0.955222 0.295889i \(-0.904384\pi\)
0.576587 + 0.817036i \(0.304384\pi\)
\(24\) −2.75432 4.05138i −0.562223 0.826985i
\(25\) 2.57566 4.28556i 0.515131 0.857111i
\(26\) 3.93552 + 9.20016i 0.771818 + 1.80430i
\(27\) −3.21282 4.08384i −0.618308 0.785936i
\(28\) 4.74070 + 2.27959i 0.895909 + 0.430802i
\(29\) 0.240777 0.0782332i 0.0447112 0.0145275i −0.286576 0.958058i \(-0.592517\pi\)
0.331287 + 0.943530i \(0.392517\pi\)
\(30\) 5.47691 + 0.0585630i 0.999943 + 0.0106921i
\(31\) −4.71722 1.53272i −0.847237 0.275284i −0.146949 0.989144i \(-0.546945\pi\)
−0.700288 + 0.713860i \(0.746945\pi\)
\(32\) 2.46186 + 5.09306i 0.435200 + 0.900334i
\(33\) −1.16316 1.55874i −0.202480 0.271342i
\(34\) 3.60007 6.02951i 0.617408 1.03405i
\(35\) −5.11889 + 2.89576i −0.865251 + 0.489473i
\(36\) 2.98012 + 5.20758i 0.496686 + 0.867930i
\(37\) −2.57019 3.53756i −0.422536 0.581571i 0.543684 0.839290i \(-0.317029\pi\)
−0.966220 + 0.257719i \(0.917029\pi\)
\(38\) −8.57310 5.11879i −1.39074 0.830377i
\(39\) −3.93553 11.6064i −0.630188 1.85851i
\(40\) −6.24627 0.992030i −0.987622 0.156854i
\(41\) −2.13451 2.93790i −0.333354 0.458823i 0.609131 0.793069i \(-0.291518\pi\)
−0.942486 + 0.334247i \(0.891518\pi\)
\(42\) −5.57323 3.23192i −0.859968 0.498696i
\(43\) 7.40077 1.12861 0.564303 0.825567i \(-0.309145\pi\)
0.564303 + 0.825567i \(0.309145\pi\)
\(44\) 1.06536 + 1.97699i 0.160609 + 0.298043i
\(45\) −6.68225 0.589479i −0.996132 0.0878743i
\(46\) −3.28932 + 2.87549i −0.484984 + 0.423968i
\(47\) 9.30818 3.02441i 1.35774 0.441156i 0.462451 0.886645i \(-0.346970\pi\)
0.895287 + 0.445489i \(0.146970\pi\)
\(48\) −2.52448 6.45190i −0.364378 0.931251i
\(49\) −0.0823015 −0.0117574
\(50\) 4.89834 5.09963i 0.692730 0.721197i
\(51\) −4.96624 + 7.02209i −0.695412 + 0.983290i
\(52\) 2.53497 + 13.9225i 0.351537 + 1.93070i
\(53\) −0.355319 1.09356i −0.0488068 0.150212i 0.923683 0.383158i \(-0.125163\pi\)
−0.972490 + 0.232946i \(0.925163\pi\)
\(54\) −3.14649 6.64075i −0.428183 0.903692i
\(55\) −2.49469 0.284372i −0.336384 0.0383447i
\(56\) 5.82026 + 4.63316i 0.777765 + 0.619132i
\(57\) 9.98440 + 7.06127i 1.32247 + 0.935288i
\(58\) 0.356583 0.0321981i 0.0468216 0.00422782i
\(59\) −1.37468 + 0.998760i −0.178967 + 0.130027i −0.673662 0.739039i \(-0.735280\pi\)
0.494695 + 0.869067i \(0.335280\pi\)
\(60\) 7.53343 + 1.80208i 0.972561 + 0.232648i
\(61\) −3.31802 2.41068i −0.424829 0.308656i 0.354749 0.934962i \(-0.384566\pi\)
−0.779578 + 0.626305i \(0.784566\pi\)
\(62\) −6.02261 3.59595i −0.764872 0.456687i
\(63\) 6.49975 + 4.47354i 0.818891 + 0.563613i
\(64\) 1.79384 + 7.79629i 0.224230 + 0.974536i
\(65\) −14.3968 6.56196i −1.78571 0.813911i
\(66\) −1.11392 2.51484i −0.137115 0.309555i
\(67\) −0.555298 + 1.70903i −0.0678404 + 0.208791i −0.979230 0.202754i \(-0.935011\pi\)
0.911389 + 0.411545i \(0.135011\pi\)
\(68\) 6.85897 7.18232i 0.831772 0.870984i
\(69\) 4.28850 3.20015i 0.516274 0.385252i
\(70\) −7.96828 + 2.38400i −0.952392 + 0.284943i
\(71\) −2.17375 6.69012i −0.257977 0.793971i −0.993229 0.116177i \(-0.962936\pi\)
0.735252 0.677794i \(-0.237064\pi\)
\(72\) 2.47244 + 8.11708i 0.291380 + 0.956607i
\(73\) −1.35514 + 1.86519i −0.158607 + 0.218304i −0.880924 0.473259i \(-0.843078\pi\)
0.722316 + 0.691563i \(0.243078\pi\)
\(74\) −2.43208 5.68554i −0.282724 0.660931i
\(75\) −6.46360 + 5.76385i −0.746352 + 0.665552i
\(76\) −10.2122 9.75246i −1.17142 1.11868i
\(77\) 2.38932 + 1.73594i 0.272288 + 0.197829i
\(78\) −1.77873 17.2404i −0.201401 1.95209i
\(79\) −5.36703 + 1.74385i −0.603838 + 0.196199i −0.594951 0.803762i \(-0.702829\pi\)
−0.00888659 + 0.999961i \(0.502829\pi\)
\(80\) −8.30087 3.33099i −0.928066 0.372416i
\(81\) 3.21410 + 8.40652i 0.357123 + 0.934058i
\(82\) −2.01981 4.72177i −0.223051 0.521432i
\(83\) −8.73160 2.83707i −0.958418 0.311409i −0.212286 0.977208i \(-0.568091\pi\)
−0.746131 + 0.665799i \(0.768091\pi\)
\(84\) −6.66888 6.20794i −0.727634 0.677341i
\(85\) 2.21310 + 10.8808i 0.240044 + 1.18018i
\(86\) 10.2045 + 2.32598i 1.10038 + 0.250817i
\(87\) −0.438464 + 0.00559360i −0.0470083 + 0.000599697i
\(88\) 0.847617 + 3.06080i 0.0903563 + 0.326283i
\(89\) 7.11762 9.79656i 0.754466 1.03843i −0.243188 0.969979i \(-0.578193\pi\)
0.997654 0.0684541i \(-0.0218067\pi\)
\(90\) −9.02855 2.91296i −0.951692 0.307053i
\(91\) 10.9388 + 15.0559i 1.14670 + 1.57829i
\(92\) −5.43921 + 2.93107i −0.567077 + 0.305585i
\(93\) 7.01406 + 4.96055i 0.727324 + 0.514385i
\(94\) 13.7851 1.24474i 1.42183 0.128386i
\(95\) 15.4709 3.14671i 1.58728 0.322845i
\(96\) −1.45312 9.68961i −0.148308 0.988941i
\(97\) 1.59344 0.517741i 0.161790 0.0525686i −0.227002 0.973894i \(-0.572892\pi\)
0.388792 + 0.921326i \(0.372892\pi\)
\(98\) −0.113481 0.0258665i −0.0114633 0.00261291i
\(99\) 1.12236 + 3.17619i 0.112802 + 0.319219i
\(100\) 8.35683 5.49212i 0.835683 0.549212i
\(101\) 1.05180i 0.104658i −0.998630 0.0523288i \(-0.983336\pi\)
0.998630 0.0523288i \(-0.0166644\pi\)
\(102\) −9.05466 + 8.12157i −0.896545 + 0.804155i
\(103\) 1.57304 + 4.84133i 0.154997 + 0.477030i 0.998161 0.0606261i \(-0.0193097\pi\)
−0.843164 + 0.537657i \(0.819310\pi\)
\(104\) −0.880357 + 19.9937i −0.0863261 + 1.96055i
\(105\) 9.95544 2.15749i 0.971551 0.210550i
\(106\) −0.146237 1.61952i −0.0142038 0.157302i
\(107\) 11.2872i 1.09117i −0.838054 0.545587i \(-0.816307\pi\)
0.838054 0.545587i \(-0.183693\pi\)
\(108\) −2.25141 10.1455i −0.216642 0.976251i
\(109\) 11.8212 8.58863i 1.13227 0.822642i 0.146246 0.989248i \(-0.453281\pi\)
0.986023 + 0.166606i \(0.0532809\pi\)
\(110\) −3.35043 1.17616i −0.319451 0.112143i
\(111\) 2.43209 + 7.17256i 0.230844 + 0.680789i
\(112\) 6.56910 + 8.21767i 0.620722 + 0.776497i
\(113\) 0.338001 0.245572i 0.0317964 0.0231015i −0.571774 0.820411i \(-0.693744\pi\)
0.603570 + 0.797310i \(0.293744\pi\)
\(114\) 11.5477 + 12.8744i 1.08154 + 1.20580i
\(115\) 0.782380 6.86353i 0.0729573 0.640028i
\(116\) 0.501793 + 0.0676739i 0.0465903 + 0.00628336i
\(117\) 0.541511 + 21.2202i 0.0500627 + 1.96181i
\(118\) −2.20937 + 0.945093i −0.203389 + 0.0870028i
\(119\) 4.03590 12.4212i 0.369970 1.13865i
\(120\) 9.82107 + 4.85247i 0.896537 + 0.442968i
\(121\) −3.00956 9.26246i −0.273596 0.842042i
\(122\) −3.81740 4.36678i −0.345611 0.395350i
\(123\) 2.01982 + 5.95672i 0.182121 + 0.537099i
\(124\) −7.17409 6.85111i −0.644253 0.615248i
\(125\) −0.294494 + 11.1765i −0.0263403 + 0.999653i
\(126\) 7.55618 + 8.21113i 0.673158 + 0.731506i
\(127\) 4.02987 + 2.92787i 0.357593 + 0.259806i 0.752047 0.659109i \(-0.229066\pi\)
−0.394455 + 0.918915i \(0.629066\pi\)
\(128\) 0.0231433 + 11.3137i 0.00204560 + 0.999998i
\(129\) −12.2407 3.80530i −1.07773 0.335038i
\(130\) −17.7887 13.5727i −1.56017 1.19041i
\(131\) −3.79895 + 11.6920i −0.331916 + 1.02153i 0.636305 + 0.771438i \(0.280462\pi\)
−0.968221 + 0.250095i \(0.919538\pi\)
\(132\) −0.745545 3.81767i −0.0648914 0.332286i
\(133\) −17.6612 5.73846i −1.53142 0.497588i
\(134\) −1.30280 + 2.18197i −0.112545 + 0.188494i
\(135\) 10.7492 + 4.41084i 0.925141 + 0.379625i
\(136\) 11.7148 7.74762i 1.00454 0.664353i
\(137\) −9.02585 + 6.55766i −0.771131 + 0.560259i −0.902304 0.431100i \(-0.858126\pi\)
0.131174 + 0.991359i \(0.458126\pi\)
\(138\) 6.91896 3.06469i 0.588981 0.260883i
\(139\) −5.92738 + 8.15834i −0.502754 + 0.691982i −0.982676 0.185329i \(-0.940665\pi\)
0.479922 + 0.877311i \(0.340665\pi\)
\(140\) −11.7363 + 0.782834i −0.991900 + 0.0661615i
\(141\) −16.9506 + 0.216242i −1.42749 + 0.0182109i
\(142\) −0.894641 9.90784i −0.0750766 0.831448i
\(143\) 7.94521i 0.664412i
\(144\) 0.858010 + 11.9693i 0.0715009 + 0.997441i
\(145\) −0.382475 + 0.417352i −0.0317628 + 0.0346592i
\(146\) −2.45475 + 2.14591i −0.203156 + 0.177597i
\(147\) 0.136124 + 0.0423175i 0.0112274 + 0.00349029i
\(148\) −1.56657 8.60388i −0.128771 0.707234i
\(149\) 1.07076i 0.0877200i −0.999038 0.0438600i \(-0.986034\pi\)
0.999038 0.0438600i \(-0.0139656\pi\)
\(150\) −10.7238 + 5.91603i −0.875597 + 0.483042i
\(151\) 8.74944i 0.712019i −0.934482 0.356010i \(-0.884137\pi\)
0.934482 0.356010i \(-0.115863\pi\)
\(152\) −11.0160 16.6568i −0.893516 1.35104i
\(153\) 11.8246 9.06082i 0.955963 0.732524i
\(154\) 2.74892 + 3.14454i 0.221514 + 0.253394i
\(155\) 10.8683 2.21057i 0.872964 0.177557i
\(156\) 2.96586 24.3309i 0.237459 1.94803i
\(157\) 2.09182i 0.166945i 0.996510 + 0.0834727i \(0.0266011\pi\)
−0.996510 + 0.0834727i \(0.973399\pi\)
\(158\) −7.94839 + 0.717710i −0.632340 + 0.0570979i
\(159\) 0.0254049 + 1.99141i 0.00201474 + 0.157929i
\(160\) −10.3987 7.20181i −0.822093 0.569353i
\(161\) −4.77602 + 6.57362i −0.376403 + 0.518074i
\(162\) 1.78968 + 12.6015i 0.140611 + 0.990065i
\(163\) 8.04275 5.84340i 0.629957 0.457691i −0.226428 0.974028i \(-0.572705\pi\)
0.856385 + 0.516337i \(0.172705\pi\)
\(164\) −1.30101 7.14541i −0.101592 0.557963i
\(165\) 3.97993 + 1.75306i 0.309837 + 0.136475i
\(166\) −11.1479 6.65613i −0.865244 0.516616i
\(167\) 19.9594 + 6.48519i 1.54450 + 0.501839i 0.952614 0.304180i \(-0.0983826\pi\)
0.591888 + 0.806020i \(0.298383\pi\)
\(168\) −7.24428 10.6558i −0.558908 0.822109i
\(169\) −11.4539 + 35.2515i −0.881069 + 2.71165i
\(170\) −0.368179 + 15.6985i −0.0282380 + 1.20402i
\(171\) −12.8832 16.8129i −0.985202 1.28571i
\(172\) 13.3395 + 6.41435i 1.01713 + 0.489090i
\(173\) −7.84149 5.69717i −0.596177 0.433148i 0.248343 0.968672i \(-0.420114\pi\)
−0.844520 + 0.535524i \(0.820114\pi\)
\(174\) −0.606334 0.130092i −0.0459660 0.00986224i
\(175\) 6.77437 11.2717i 0.512094 0.852058i
\(176\) 0.206757 + 4.48678i 0.0155849 + 0.338204i
\(177\) 2.78721 0.945095i 0.209500 0.0710377i
\(178\) 12.8931 11.2710i 0.966376 0.844796i
\(179\) −1.49678 4.60660i −0.111874 0.344314i 0.879408 0.476069i \(-0.157939\pi\)
−0.991282 + 0.131755i \(0.957939\pi\)
\(180\) −11.5335 6.85411i −0.859655 0.510875i
\(181\) 3.10362 9.55197i 0.230691 0.709993i −0.766973 0.641679i \(-0.778238\pi\)
0.997664 0.0683137i \(-0.0217619\pi\)
\(182\) 10.3510 + 24.1978i 0.767268 + 1.79366i
\(183\) 4.24840 + 5.69325i 0.314050 + 0.420857i
\(184\) −8.42105 + 2.33201i −0.620808 + 0.171918i
\(185\) 8.89700 + 4.05518i 0.654120 + 0.298143i
\(186\) 8.11227 + 9.04429i 0.594820 + 0.663159i
\(187\) 4.51097 3.27741i 0.329875 0.239668i
\(188\) 19.3988 + 2.61620i 1.41480 + 0.190806i
\(189\) −8.45021 10.7411i −0.614663 0.781302i
\(190\) 22.3210 + 0.523497i 1.61933 + 0.0379785i
\(191\) −15.7612 + 11.4511i −1.14044 + 0.828576i −0.987180 0.159610i \(-0.948976\pi\)
−0.153257 + 0.988186i \(0.548976\pi\)
\(192\) 1.04171 13.8172i 0.0751789 0.997170i
\(193\) 3.72982i 0.268478i 0.990949 + 0.134239i \(0.0428590\pi\)
−0.990949 + 0.134239i \(0.957141\pi\)
\(194\) 2.35984 0.213084i 0.169426 0.0152986i
\(195\) 20.4379 + 18.2558i 1.46359 + 1.30733i
\(196\) −0.148344 0.0713319i −0.0105960 0.00509514i
\(197\) −1.87126 5.75914i −0.133322 0.410322i 0.862004 0.506902i \(-0.169209\pi\)
−0.995325 + 0.0965806i \(0.969209\pi\)
\(198\) 0.549328 + 4.73222i 0.0390390 + 0.336304i
\(199\) 4.07539i 0.288896i 0.989512 + 0.144448i \(0.0461407\pi\)
−0.989512 + 0.144448i \(0.953859\pi\)
\(200\) 13.2489 4.94634i 0.936840 0.349759i
\(201\) 1.79719 2.54117i 0.126764 0.179240i
\(202\) 0.330568 1.45027i 0.0232587 0.102040i
\(203\) 0.633280 0.205765i 0.0444476 0.0144419i
\(204\) −15.0375 + 8.35263i −1.05284 + 0.584801i
\(205\) 7.38884 + 3.36777i 0.516059 + 0.235216i
\(206\) 0.647410 + 7.16985i 0.0451072 + 0.499547i
\(207\) −8.73849 + 3.08791i −0.607367 + 0.214624i
\(208\) −7.49770 + 27.2916i −0.519872 + 1.89234i
\(209\) −4.66001 6.41395i −0.322340 0.443662i
\(210\) 14.4051 + 0.154030i 0.994047 + 0.0106290i
\(211\) −5.14590 + 7.08272i −0.354258 + 0.487594i −0.948538 0.316664i \(-0.897437\pi\)
0.594280 + 0.804258i \(0.297437\pi\)
\(212\) 0.307360 2.27904i 0.0211096 0.156525i
\(213\) 0.155421 + 12.1830i 0.0106493 + 0.834763i
\(214\) 3.54745 15.5633i 0.242498 1.06389i
\(215\) −14.4036 + 8.14815i −0.982320 + 0.555699i
\(216\) 0.0842649 14.6967i 0.00573350 0.999984i
\(217\) −12.4070 4.03128i −0.842242 0.273661i
\(218\) 18.9990 8.12713i 1.28678 0.550439i
\(219\) 3.20041 2.38820i 0.216263 0.161379i
\(220\) −4.25008 2.67475i −0.286540 0.180332i
\(221\) 33.4159 10.8575i 2.24780 0.730353i
\(222\) 1.09922 + 10.6542i 0.0737750 + 0.715066i
\(223\) −2.60197 1.89044i −0.174241 0.126593i 0.497247 0.867609i \(-0.334344\pi\)
−0.671488 + 0.741016i \(0.734344\pi\)
\(224\) 6.47507 + 13.3955i 0.432634 + 0.895026i
\(225\) 13.6542 6.20981i 0.910283 0.413987i
\(226\) 0.543232 0.232376i 0.0361353 0.0154574i
\(227\) 6.51885 8.97243i 0.432671 0.595521i −0.535893 0.844286i \(-0.680025\pi\)
0.968564 + 0.248765i \(0.0800248\pi\)
\(228\) 11.8762 + 21.3812i 0.786523 + 1.41600i
\(229\) −2.00759 6.17873i −0.132665 0.408302i 0.862554 0.505965i \(-0.168863\pi\)
−0.995220 + 0.0976628i \(0.968863\pi\)
\(230\) 3.23592 9.21788i 0.213370 0.607809i
\(231\) −3.05928 4.09973i −0.201286 0.269742i
\(232\) 0.670627 + 0.251020i 0.0440288 + 0.0164803i
\(233\) −5.04864 + 15.5381i −0.330748 + 1.01794i 0.638031 + 0.770010i \(0.279749\pi\)
−0.968779 + 0.247926i \(0.920251\pi\)
\(234\) −5.92262 + 29.4296i −0.387174 + 1.92388i
\(235\) −14.7861 + 16.1344i −0.964537 + 1.05249i
\(236\) −3.34342 + 0.608759i −0.217638 + 0.0396268i
\(237\) 9.77356 0.124684i 0.634861 0.00809908i
\(238\) 9.46874 15.8585i 0.613767 1.02796i
\(239\) 15.0252 + 10.9165i 0.971902 + 0.706128i 0.955884 0.293744i \(-0.0949012\pi\)
0.0160176 + 0.999872i \(0.494901\pi\)
\(240\) 12.0167 + 9.77748i 0.775674 + 0.631134i
\(241\) −8.82348 + 6.41063i −0.568370 + 0.412945i −0.834513 0.550988i \(-0.814251\pi\)
0.266143 + 0.963934i \(0.414251\pi\)
\(242\) −1.23863 13.7174i −0.0796221 0.881788i
\(243\) −0.993601 15.5568i −0.0637396 0.997967i
\(244\) −3.89118 7.22090i −0.249107 0.462271i
\(245\) 0.160178 0.0906129i 0.0102334 0.00578905i
\(246\) 0.912891 + 8.84821i 0.0582038 + 0.564141i
\(247\) −15.4378 47.5126i −0.982282 3.02315i
\(248\) −7.73875 11.7014i −0.491411 0.743039i
\(249\) 12.9831 + 9.18202i 0.822768 + 0.581887i
\(250\) −3.91870 + 15.3181i −0.247841 + 0.968801i
\(251\) −14.4760 −0.913715 −0.456858 0.889540i \(-0.651025\pi\)
−0.456858 + 0.889540i \(0.651025\pi\)
\(252\) 7.83816 + 13.6967i 0.493758 + 0.862813i
\(253\) −3.29920 + 1.07197i −0.207419 + 0.0673944i
\(254\) 4.63638 + 5.30363i 0.290912 + 0.332779i
\(255\) 1.93423 19.1344i 0.121126 1.19824i
\(256\) −3.52386 + 15.6071i −0.220241 + 0.975445i
\(257\) −3.60686 −0.224989 −0.112495 0.993652i \(-0.535884\pi\)
−0.112495 + 0.993652i \(0.535884\pi\)
\(258\) −15.6821 9.09404i −0.976322 0.566170i
\(259\) −6.75999 9.30432i −0.420045 0.578142i
\(260\) −20.2621 24.3055i −1.25660 1.50736i
\(261\) 0.728083 + 0.216196i 0.0450672 + 0.0133822i
\(262\) −8.91284 + 14.9275i −0.550637 + 0.922224i
\(263\) −0.296395 0.407953i −0.0182765 0.0251555i 0.799781 0.600292i \(-0.204949\pi\)
−0.818057 + 0.575136i \(0.804949\pi\)
\(264\) 0.171860 5.49831i 0.0105772 0.338398i
\(265\) 1.89553 + 1.73712i 0.116441 + 0.106710i
\(266\) −22.5485 13.4632i −1.38254 0.825481i
\(267\) −16.8095 + 12.5435i −1.02872 + 0.767651i
\(268\) −2.48214 + 2.59915i −0.151621 + 0.158768i
\(269\) 0.145643 + 0.0473224i 0.00888003 + 0.00288530i 0.313454 0.949604i \(-0.398514\pi\)
−0.304574 + 0.952489i \(0.598514\pi\)
\(270\) 13.4352 + 9.46022i 0.817639 + 0.575731i
\(271\) 12.7960 4.15766i 0.777299 0.252560i 0.106612 0.994301i \(-0.466000\pi\)
0.670686 + 0.741741i \(0.266000\pi\)
\(272\) 18.5879 7.00096i 1.12706 0.424496i
\(273\) −10.3510 30.5266i −0.626473 1.84755i
\(274\) −14.5063 + 6.20530i −0.876357 + 0.374876i
\(275\) 5.16835 2.19317i 0.311663 0.132253i
\(276\) 10.5034 2.05118i 0.632230 0.123467i
\(277\) 16.9554 23.3371i 1.01875 1.40219i 0.105672 0.994401i \(-0.466301\pi\)
0.913077 0.407787i \(-0.133699\pi\)
\(278\) −10.7370 + 9.38620i −0.643965 + 0.562947i
\(279\) −9.05045 11.8111i −0.541836 0.707111i
\(280\) −16.4286 2.60919i −0.981799 0.155929i
\(281\) 0.565777 + 0.183832i 0.0337514 + 0.0109665i 0.325844 0.945424i \(-0.394352\pi\)
−0.292093 + 0.956390i \(0.594352\pi\)
\(282\) −23.4402 5.02921i −1.39584 0.299485i
\(283\) −5.89041 + 18.1288i −0.350149 + 1.07765i 0.608620 + 0.793461i \(0.291723\pi\)
−0.958769 + 0.284186i \(0.908277\pi\)
\(284\) 1.88035 13.9426i 0.111578 0.827340i
\(285\) −27.2064 2.75020i −1.61157 0.162908i
\(286\) −2.49709 + 10.9552i −0.147656 + 0.647797i
\(287\) −5.61408 7.72712i −0.331389 0.456117i
\(288\) −2.57875 + 16.7735i −0.151954 + 0.988388i
\(289\) −6.19527 4.50113i −0.364428 0.264772i
\(290\) −0.658544 + 0.455258i −0.0386710 + 0.0267337i
\(291\) −2.90172 + 0.0370180i −0.170102 + 0.00217003i
\(292\) −4.05916 + 2.18739i −0.237544 + 0.128007i
\(293\) −7.03851 −0.411194 −0.205597 0.978637i \(-0.565914\pi\)
−0.205597 + 0.978637i \(0.565914\pi\)
\(294\) 0.174395 + 0.101132i 0.0101709 + 0.00589813i
\(295\) 1.57582 3.45732i 0.0917477 0.201293i
\(296\) 0.544046 12.3558i 0.0316220 0.718166i
\(297\) −0.223237 5.83041i −0.0129535 0.338315i
\(298\) 0.336528 1.47641i 0.0194946 0.0855264i
\(299\) −21.8593 −1.26415
\(300\) −16.6459 + 4.78692i −0.961050 + 0.276373i
\(301\) 19.4651 1.12195
\(302\) 2.74985 12.0641i 0.158236 0.694214i
\(303\) −0.540809 + 1.73964i −0.0310686 + 0.0999397i
\(304\) −9.95436 26.4293i −0.570922 1.51583i
\(305\) 9.11178 + 1.03866i 0.521739 + 0.0594734i
\(306\) 19.1521 8.77715i 1.09485 0.501756i
\(307\) 23.4386 1.33771 0.668854 0.743393i \(-0.266785\pi\)
0.668854 + 0.743393i \(0.266785\pi\)
\(308\) 2.80205 + 5.19979i 0.159662 + 0.296286i
\(309\) −0.112471 8.81624i −0.00639825 0.501539i
\(310\) 15.6805 + 0.367757i 0.890593 + 0.0208872i
\(311\) 2.01775 + 1.46598i 0.114416 + 0.0831280i 0.643522 0.765428i \(-0.277473\pi\)
−0.529106 + 0.848556i \(0.677473\pi\)
\(312\) 11.7364 32.6164i 0.664443 1.84654i
\(313\) −12.8727 17.7178i −0.727609 1.00147i −0.999237 0.0390656i \(-0.987562\pi\)
0.271627 0.962402i \(-0.412438\pi\)
\(314\) −0.657436 + 2.88430i −0.0371013 + 0.162771i
\(315\) −17.5753 1.55042i −0.990258 0.0873562i
\(316\) −11.1852 1.50848i −0.629216 0.0848587i
\(317\) −1.52336 + 4.68843i −0.0855606 + 0.263328i −0.984679 0.174377i \(-0.944209\pi\)
0.899118 + 0.437706i \(0.144209\pi\)
\(318\) −0.590849 + 2.75384i −0.0331332 + 0.154428i
\(319\) 0.270365 + 0.0878470i 0.0151375 + 0.00491849i
\(320\) −12.0748 13.1984i −0.675004 0.737814i
\(321\) −5.80361 + 18.6687i −0.323926 + 1.04199i
\(322\) −8.65142 + 7.56298i −0.482125 + 0.421468i
\(323\) −20.6076 + 28.3640i −1.14664 + 1.57821i
\(324\) −1.49281 + 17.9380i −0.0829336 + 0.996555i
\(325\) 35.2442 3.07960i 1.95500 0.170826i
\(326\) 12.9263 5.52941i 0.715919 0.306246i
\(327\) −23.9681 + 8.12715i −1.32544 + 0.449433i
\(328\) 0.451823 10.2613i 0.0249477 0.566587i
\(329\) 24.4819 7.95466i 1.34973 0.438555i
\(330\) 4.93676 + 3.66805i 0.271760 + 0.201919i
\(331\) −6.52289 2.11942i −0.358530 0.116494i 0.124213 0.992256i \(-0.460360\pi\)
−0.482743 + 0.875762i \(0.660360\pi\)
\(332\) −13.2793 12.6815i −0.728796 0.695986i
\(333\) −0.334645 13.1137i −0.0183384 0.718628i
\(334\) 25.4827 + 15.2151i 1.39435 + 0.832534i
\(335\) −0.800881 3.93755i −0.0437568 0.215131i
\(336\) −6.63978 16.9695i −0.362229 0.925760i
\(337\) −16.5443 22.7713i −0.901225 1.24043i −0.970076 0.242803i \(-0.921933\pi\)
0.0688506 0.997627i \(-0.478067\pi\)
\(338\) −26.8723 + 45.0066i −1.46166 + 2.44804i
\(339\) −0.685311 + 0.232377i −0.0372210 + 0.0126210i
\(340\) −5.44152 + 21.5301i −0.295108 + 1.16763i
\(341\) −3.27366 4.50581i −0.177279 0.244003i
\(342\) −12.4798 27.2315i −0.674833 1.47251i
\(343\) −18.6275 −1.00579
\(344\) 16.3772 + 13.0369i 0.882997 + 0.702901i
\(345\) −4.82310 + 10.9498i −0.259667 + 0.589518i
\(346\) −9.02166 10.3200i −0.485007 0.554808i
\(347\) −34.9390 + 11.3524i −1.87562 + 0.609426i −0.886417 + 0.462888i \(0.846813\pi\)
−0.989205 + 0.146538i \(0.953187\pi\)
\(348\) −0.795155 0.369941i −0.0426248 0.0198309i
\(349\) 2.33175 0.124816 0.0624078 0.998051i \(-0.480122\pi\)
0.0624078 + 0.998051i \(0.480122\pi\)
\(350\) 12.8834 13.4128i 0.688646 0.716944i
\(351\) 10.0153 35.3761i 0.534577 1.88823i
\(352\) −1.12506 + 6.25157i −0.0599659 + 0.333210i
\(353\) 7.50581 + 23.1005i 0.399494 + 1.22952i 0.925406 + 0.378977i \(0.123724\pi\)
−0.525912 + 0.850539i \(0.676276\pi\)
\(354\) 4.14018 0.427152i 0.220048 0.0227029i
\(355\) 11.5964 + 10.6273i 0.615471 + 0.564037i
\(356\) 21.3199 11.4888i 1.12995 0.608906i
\(357\) −13.0620 + 18.4692i −0.691312 + 0.977492i
\(358\) −0.616021 6.82222i −0.0325577 0.360566i
\(359\) 19.4805 14.1534i 1.02814 0.746988i 0.0602046 0.998186i \(-0.480825\pi\)
0.967936 + 0.251198i \(0.0808247\pi\)
\(360\) −13.7488 13.0756i −0.724623 0.689146i
\(361\) 24.9581 + 18.1332i 1.31359 + 0.954377i
\(362\) 7.28151 12.1953i 0.382708 0.640970i
\(363\) 0.215180 + 16.8673i 0.0112940 + 0.885303i
\(364\) 6.66735 + 36.6183i 0.349464 + 1.91932i
\(365\) 0.583872 5.12210i 0.0305613 0.268103i
\(366\) 4.06857 + 9.18535i 0.212667 + 0.480126i
\(367\) −7.51175 + 23.1188i −0.392110 + 1.20679i 0.539079 + 0.842255i \(0.318772\pi\)
−0.931189 + 0.364536i \(0.881228\pi\)
\(368\) −12.3443 + 0.568841i −0.643490 + 0.0296529i
\(369\) −0.277918 10.8908i −0.0144678 0.566951i
\(370\) 10.9931 + 8.38771i 0.571504 + 0.436056i
\(371\) −0.934542 2.87622i −0.0485190 0.149326i
\(372\) 8.34307 + 15.0203i 0.432568 + 0.778766i
\(373\) −12.8117 + 17.6338i −0.663363 + 0.913041i −0.999587 0.0287408i \(-0.990850\pi\)
0.336223 + 0.941782i \(0.390850\pi\)
\(374\) 7.25000 3.10131i 0.374889 0.160365i
\(375\) 6.23376 18.3341i 0.321910 0.946770i
\(376\) 25.9257 + 9.70417i 1.33702 + 0.500454i
\(377\) 1.44923 + 1.05292i 0.0746389 + 0.0542284i
\(378\) −8.27574 17.4662i −0.425658 0.898364i
\(379\) 12.7016 4.12699i 0.652435 0.211989i 0.0359475 0.999354i \(-0.488555\pi\)
0.616488 + 0.787365i \(0.288555\pi\)
\(380\) 30.6127 + 7.73706i 1.57040 + 0.396903i
\(381\) −5.15984 6.91468i −0.264347 0.354250i
\(382\) −25.3312 + 10.8358i −1.29606 + 0.554410i
\(383\) 2.52358 + 0.819961i 0.128949 + 0.0418981i 0.372781 0.927920i \(-0.378404\pi\)
−0.243832 + 0.969818i \(0.578404\pi\)
\(384\) 5.77895 18.7244i 0.294906 0.955526i
\(385\) −6.56142 0.747942i −0.334401 0.0381186i
\(386\) −1.17224 + 5.14286i −0.0596656 + 0.261765i
\(387\) 18.2891 + 12.5877i 0.929688 + 0.639870i
\(388\) 3.32083 + 0.447860i 0.168589 + 0.0227367i
\(389\) −7.01879 + 9.66053i −0.355867 + 0.489808i −0.948991 0.315302i \(-0.897894\pi\)
0.593125 + 0.805111i \(0.297894\pi\)
\(390\) 22.4432 + 31.5954i 1.13646 + 1.59990i
\(391\) 9.01700 + 12.4108i 0.456009 + 0.627643i
\(392\) −0.182125 0.144979i −0.00919870 0.00732253i
\(393\) 12.2951 17.3849i 0.620206 0.876951i
\(394\) −0.770145 8.52909i −0.0387993 0.429689i
\(395\) 8.52554 9.30298i 0.428966 0.468084i
\(396\) −0.729847 + 6.69767i −0.0366762 + 0.336570i
\(397\) −0.770649 + 0.250399i −0.0386778 + 0.0125672i −0.328292 0.944576i \(-0.606473\pi\)
0.289614 + 0.957143i \(0.406473\pi\)
\(398\) −1.28085 + 5.61934i −0.0642032 + 0.281672i
\(399\) 26.2605 + 18.5722i 1.31467 + 0.929774i
\(400\) 19.8228 2.65625i 0.991141 0.132813i
\(401\) 19.9527i 0.996388i 0.867065 + 0.498194i \(0.166003\pi\)
−0.867065 + 0.498194i \(0.833997\pi\)
\(402\) 3.27672 2.93905i 0.163428 0.146586i
\(403\) −10.8450 33.3776i −0.540230 1.66266i
\(404\) 0.911606 1.89580i 0.0453541 0.0943197i
\(405\) −15.5109 12.8224i −0.770741 0.637149i
\(406\) 0.937867 0.0846859i 0.0465456 0.00420289i
\(407\) 4.91000i 0.243380i
\(408\) −23.3596 + 6.79088i −1.15647 + 0.336199i
\(409\) −17.5507 + 12.7514i −0.867829 + 0.630514i −0.930003 0.367551i \(-0.880196\pi\)
0.0621747 + 0.998065i \(0.480196\pi\)
\(410\) 9.12963 + 6.96588i 0.450880 + 0.344020i
\(411\) 18.3003 6.20531i 0.902687 0.306085i
\(412\) −1.36073 + 10.0896i −0.0670381 + 0.497079i
\(413\) −3.61560 + 2.62689i −0.177912 + 0.129261i
\(414\) −13.0195 + 1.51134i −0.639876 + 0.0742783i
\(415\) 20.1173 4.09177i 0.987520 0.200857i
\(416\) −18.9157 + 35.2746i −0.927416 + 1.72948i
\(417\) 13.9986 10.4459i 0.685512 0.511540i
\(418\) −4.40961 10.3085i −0.215681 0.504203i
\(419\) −4.46197 + 13.7325i −0.217981 + 0.670877i 0.780947 + 0.624597i \(0.214737\pi\)
−0.998928 + 0.0462804i \(0.985263\pi\)
\(420\) 19.8141 + 4.73975i 0.966827 + 0.231276i
\(421\) −0.913465 2.81136i −0.0445195 0.137017i 0.926326 0.376723i \(-0.122949\pi\)
−0.970846 + 0.239706i \(0.922949\pi\)
\(422\) −9.32143 + 8.14869i −0.453760 + 0.396672i
\(423\) 28.1469 + 8.35792i 1.36855 + 0.406376i
\(424\) 1.14008 3.04585i 0.0553672 0.147919i
\(425\) −16.2868 18.7399i −0.790025 0.909020i
\(426\) −3.61467 + 16.8473i −0.175131 + 0.816254i
\(427\) −8.72690 6.34046i −0.422324 0.306837i
\(428\) 9.78278 20.3446i 0.472868 0.983391i
\(429\) 4.08524 13.1411i 0.197237 0.634461i
\(430\) −22.4213 + 6.70815i −1.08125 + 0.323496i
\(431\) 1.95432 6.01477i 0.0941362 0.289721i −0.892891 0.450272i \(-0.851327\pi\)
0.987028 + 0.160551i \(0.0513270\pi\)
\(432\) 4.73520 20.2380i 0.227822 0.973703i
\(433\) 12.8774 + 4.18412i 0.618849 + 0.201076i 0.601629 0.798776i \(-0.294519\pi\)
0.0172196 + 0.999852i \(0.494519\pi\)
\(434\) −15.8404 9.45790i −0.760362 0.453994i
\(435\) 0.847196 0.493630i 0.0406199 0.0236677i
\(436\) 28.7510 5.23490i 1.37692 0.250706i
\(437\) 17.6464 12.8209i 0.844142 0.613305i
\(438\) 5.16346 2.28711i 0.246720 0.109282i
\(439\) 8.27611 11.3911i 0.394997 0.543667i −0.564482 0.825445i \(-0.690924\pi\)
0.959480 + 0.281778i \(0.0909242\pi\)
\(440\) −5.01957 5.02383i −0.239298 0.239502i
\(441\) −0.203387 0.139984i −0.00968511 0.00666590i
\(442\) 49.4878 4.46856i 2.35390 0.212548i
\(443\) 17.7380i 0.842758i −0.906885 0.421379i \(-0.861546\pi\)
0.906885 0.421379i \(-0.138454\pi\)
\(444\) −1.83285 + 15.0361i −0.0869833 + 0.713580i
\(445\) −3.06667 + 26.9028i −0.145374 + 1.27532i
\(446\) −2.99358 3.42441i −0.141750 0.162150i
\(447\) −0.550559 + 1.77101i −0.0260406 + 0.0837657i
\(448\) 4.71807 + 20.5054i 0.222908 + 0.968790i
\(449\) 28.2843i 1.33482i 0.744691 + 0.667410i \(0.232597\pi\)
−0.744691 + 0.667410i \(0.767403\pi\)
\(450\) 20.7788 4.27100i 0.979522 0.201337i
\(451\) 4.07769i 0.192011i
\(452\) 0.822068 0.149680i 0.0386668 0.00704034i
\(453\) −4.49876 + 14.4713i −0.211370 + 0.679922i
\(454\) 11.8084 10.3228i 0.554198 0.484473i
\(455\) −37.8658 17.2589i −1.77518 0.809112i
\(456\) 9.65565 + 33.2140i 0.452167 + 1.55539i
\(457\) 5.94526i 0.278107i 0.990285 + 0.139054i \(0.0444061\pi\)
−0.990285 + 0.139054i \(0.955594\pi\)
\(458\) −0.826255 9.15049i −0.0386084 0.427574i
\(459\) −24.2164 + 8.90641i −1.13033 + 0.415715i
\(460\) 7.35892 11.6930i 0.343111 0.545191i
\(461\) −17.8555 + 24.5760i −0.831615 + 1.14462i 0.156005 + 0.987756i \(0.450138\pi\)
−0.987620 + 0.156863i \(0.949862\pi\)
\(462\) −2.92979 6.61440i −0.136306 0.307730i
\(463\) 9.77952 7.10524i 0.454493 0.330209i −0.336874 0.941550i \(-0.609370\pi\)
0.791367 + 0.611341i \(0.209370\pi\)
\(464\) 0.845800 + 0.556890i 0.0392653 + 0.0258530i
\(465\) −19.1125 1.93202i −0.886321 0.0895951i
\(466\) −11.8448 + 19.8380i −0.548699 + 0.918977i
\(467\) 19.8940 + 6.46396i 0.920585 + 0.299116i 0.730707 0.682691i \(-0.239191\pi\)
0.189879 + 0.981808i \(0.439191\pi\)
\(468\) −17.4158 + 38.7176i −0.805046 + 1.78972i
\(469\) −1.46052 + 4.49501i −0.0674405 + 0.207560i
\(470\) −25.4586 + 17.5998i −1.17432 + 0.811818i
\(471\) 1.07556 3.45981i 0.0495594 0.159420i
\(472\) −4.80139 0.211413i −0.221002 0.00973107i
\(473\) 6.72311 + 4.88462i 0.309129 + 0.224595i
\(474\) 13.5154 + 2.89981i 0.620785 + 0.133192i
\(475\) −26.6455 + 23.1575i −1.22258 + 1.06254i
\(476\) 18.0401 18.8906i 0.826868 0.865848i
\(477\) 0.981918 3.30680i 0.0449589 0.151408i
\(478\) 17.2866 + 19.7744i 0.790670 + 0.904461i
\(479\) 11.0543 + 34.0217i 0.505084 + 1.55449i 0.800629 + 0.599160i \(0.204499\pi\)
−0.295545 + 0.955329i \(0.595501\pi\)
\(480\) 13.4962 + 17.2584i 0.616016 + 0.787734i
\(481\) 9.56089 29.4254i 0.435939 1.34168i
\(482\) −14.1810 + 6.06617i −0.645928 + 0.276306i
\(483\) 11.2794 8.41687i 0.513230 0.382981i
\(484\) 2.60335 19.3035i 0.118334 0.877432i
\(485\) −2.53119 + 2.76201i −0.114935 + 0.125416i
\(486\) 3.51930 21.7627i 0.159639 0.987176i
\(487\) −33.7319 + 24.5077i −1.52854 + 1.11055i −0.571495 + 0.820606i \(0.693636\pi\)
−0.957044 + 0.289943i \(0.906364\pi\)
\(488\) −3.09589 11.1795i −0.140144 0.506071i
\(489\) −16.3070 + 5.52943i −0.737429 + 0.250049i
\(490\) 0.249340 0.0745992i 0.0112640 0.00337005i
\(491\) 26.9448 19.5765i 1.21600 0.883476i 0.220239 0.975446i \(-0.429316\pi\)
0.995762 + 0.0919695i \(0.0293162\pi\)
\(492\) −1.52216 + 12.4873i −0.0686243 + 0.562969i
\(493\) 1.25715i 0.0566190i
\(494\) −6.35365 70.3645i −0.285864 3.16585i
\(495\) −5.68132 4.94589i −0.255356 0.222301i
\(496\) −6.99295 18.5666i −0.313993 0.833667i
\(497\) −5.71730 17.5960i −0.256456 0.789290i
\(498\) 15.0159 + 16.7410i 0.672877 + 0.750184i
\(499\) 2.95347i 0.132215i −0.997812 0.0661077i \(-0.978942\pi\)
0.997812 0.0661077i \(-0.0210581\pi\)
\(500\) −10.2176 + 19.8897i −0.456945 + 0.889495i
\(501\) −29.6777 20.9890i −1.32590 0.937718i
\(502\) −19.9602 4.54964i −0.890866 0.203060i
\(503\) 40.1948 13.0601i 1.79220 0.582320i 0.792573 0.609777i \(-0.208741\pi\)
0.999623 + 0.0274568i \(0.00874085\pi\)
\(504\) 6.50290 + 21.3492i 0.289662 + 0.950967i
\(505\) 1.15801 + 2.04704i 0.0515309 + 0.0910921i
\(506\) −4.88600 + 0.441187i −0.217209 + 0.0196132i
\(507\) 37.0699 52.4156i 1.64633 2.32786i
\(508\) 4.72598 + 8.77006i 0.209682 + 0.389109i
\(509\) 20.6474 + 28.4187i 0.915179 + 1.25964i 0.965367 + 0.260897i \(0.0840182\pi\)
−0.0501873 + 0.998740i \(0.515982\pi\)
\(510\) 8.68075 25.7755i 0.384390 1.14136i
\(511\) −3.56423 + 4.90574i −0.157672 + 0.217017i
\(512\) −9.76402 + 20.4123i −0.431513 + 0.902107i
\(513\) 12.6636 + 34.4323i 0.559113 + 1.52022i
\(514\) −4.97331 1.13360i −0.219363 0.0500008i
\(515\) −8.39175 7.69046i −0.369785 0.338882i
\(516\) −18.7650 17.4680i −0.826083 0.768986i
\(517\) 10.4520 + 3.39607i 0.459680 + 0.149359i
\(518\) −6.39675 14.9538i −0.281057 0.657034i
\(519\) 10.0402 + 13.4549i 0.440718 + 0.590603i
\(520\) −20.2995 39.8818i −0.890190 1.74893i
\(521\) 23.1218 7.51272i 1.01298 0.329138i 0.244942 0.969538i \(-0.421231\pi\)
0.768042 + 0.640400i \(0.221231\pi\)
\(522\) 0.935968 + 0.526931i 0.0409662 + 0.0230631i
\(523\) −17.9226 13.0215i −0.783700 0.569391i 0.122387 0.992482i \(-0.460945\pi\)
−0.906087 + 0.423091i \(0.860945\pi\)
\(524\) −16.9810 + 17.7815i −0.741819 + 0.776790i
\(525\) −17.0002 + 15.1598i −0.741951 + 0.661627i
\(526\) −0.280469 0.655659i −0.0122290 0.0285881i
\(527\) −14.4769 + 19.9257i −0.630623 + 0.867978i
\(528\) 1.96503 7.52732i 0.0855168 0.327585i
\(529\) 4.15812 + 12.7974i 0.180788 + 0.556408i
\(530\) 2.06768 + 2.99097i 0.0898145 + 0.129919i
\(531\) −5.09592 + 0.130041i −0.221144 + 0.00564330i
\(532\) −26.8597 25.6505i −1.16451 1.11209i
\(533\) 7.94020 24.4374i 0.343928 1.05850i
\(534\) −27.1200 + 12.0126i −1.17360 + 0.519835i
\(535\) 12.4271 + 21.9675i 0.537269 + 0.949740i
\(536\) −4.23937 + 2.80372i −0.183113 + 0.121102i
\(537\) 0.107018 + 8.38880i 0.00461817 + 0.362003i
\(538\) 0.185947 + 0.111024i 0.00801675 + 0.00478661i
\(539\) −0.0747655 0.0543203i −0.00322038 0.00233974i
\(540\) 15.5518 + 17.2667i 0.669244 + 0.743042i
\(541\) 18.3219 13.3117i 0.787721 0.572313i −0.119565 0.992826i \(-0.538150\pi\)
0.907286 + 0.420514i \(0.138150\pi\)
\(542\) 18.9504 1.71115i 0.813988 0.0735001i
\(543\) −10.0447 + 14.2029i −0.431060 + 0.609504i
\(544\) 27.8303 3.81128i 1.19321 0.163407i
\(545\) −13.5509 + 29.7305i −0.580458 + 1.27352i
\(546\) −4.67832 45.3447i −0.200214 1.94058i
\(547\) 8.57610 + 26.3945i 0.366688 + 1.12855i 0.948917 + 0.315524i \(0.102180\pi\)
−0.582230 + 0.813024i \(0.697820\pi\)
\(548\) −21.9522 + 3.99699i −0.937752 + 0.170743i
\(549\) −4.09939 11.6009i −0.174958 0.495114i
\(550\) 7.81566 1.39969i 0.333261 0.0596830i
\(551\) −1.78748 −0.0761492
\(552\) 15.1272 + 0.472830i 0.643858 + 0.0201250i
\(553\) −14.1161 + 4.58660i −0.600278 + 0.195042i
\(554\) 30.7135 26.8494i 1.30489 1.14072i
\(555\) −12.6303 11.2818i −0.536126 0.478885i
\(556\) −17.7547 + 9.56761i −0.752968 + 0.405757i
\(557\) 19.3275 0.818933 0.409467 0.912325i \(-0.365715\pi\)
0.409467 + 0.912325i \(0.365715\pi\)
\(558\) −8.76710 19.1301i −0.371141 0.809843i
\(559\) 30.7798 + 42.3647i 1.30185 + 1.79184i
\(560\) −21.8326 8.76102i −0.922594 0.370221i
\(561\) −9.14619 + 3.10131i −0.386152 + 0.130938i
\(562\) 0.722344 + 0.431294i 0.0304703 + 0.0181930i
\(563\) −7.76254 10.6842i −0.327152 0.450286i 0.613482 0.789709i \(-0.289768\pi\)
−0.940634 + 0.339423i \(0.889768\pi\)
\(564\) −30.7399 14.3015i −1.29438 0.602203i
\(565\) −0.387457 + 0.850075i −0.0163004 + 0.0357629i
\(566\) −13.8197 + 23.1456i −0.580885 + 0.972883i
\(567\) 8.45358 + 22.1104i 0.355017 + 0.928550i
\(568\) 6.97473 18.6337i 0.292653 0.781854i
\(569\) −27.7963 9.03155i −1.16528 0.378622i −0.338401 0.941002i \(-0.609886\pi\)
−0.826879 + 0.562380i \(0.809886\pi\)
\(570\) −36.6491 12.3428i −1.53506 0.516982i
\(571\) 6.44362 2.09366i 0.269657 0.0876169i −0.171067 0.985259i \(-0.554722\pi\)
0.440724 + 0.897642i \(0.354722\pi\)
\(572\) −6.88622 + 14.3208i −0.287927 + 0.598783i
\(573\) 31.9564 10.8359i 1.33500 0.452675i
\(574\) −5.31241 12.4190i −0.221736 0.518358i
\(575\) 6.03396 + 14.2194i 0.251634 + 0.592992i
\(576\) −8.82743 + 22.3176i −0.367810 + 0.929901i
\(577\) −13.7634 + 18.9437i −0.572977 + 0.788636i −0.992904 0.118923i \(-0.962056\pi\)
0.419926 + 0.907558i \(0.362056\pi\)
\(578\) −7.12768 8.15348i −0.296472 0.339140i
\(579\) 1.91779 6.16902i 0.0797005 0.256376i
\(580\) −1.05112 + 0.420758i −0.0436452 + 0.0174710i
\(581\) −22.9654 7.46192i −0.952767 0.309573i
\(582\) −4.01267 0.860937i −0.166330 0.0356870i
\(583\) 0.398982 1.22794i 0.0165242 0.0508561i
\(584\) −6.28444 + 1.74033i −0.260052 + 0.0720152i
\(585\) −24.4171 40.7033i −1.00952 1.68287i
\(586\) −9.70503 2.21213i −0.400911 0.0913821i
\(587\) 13.5473 + 18.6462i 0.559156 + 0.769612i 0.991219 0.132231i \(-0.0422142\pi\)
−0.432063 + 0.901843i \(0.642214\pi\)
\(588\) 0.208680 + 0.194256i 0.00860580 + 0.00801098i
\(589\) 28.3315 + 20.5840i 1.16738 + 0.848151i
\(590\) 3.25941 4.27186i 0.134188 0.175870i
\(591\) 0.133793 + 10.4876i 0.00550351 + 0.431402i
\(592\) 4.63345 16.8658i 0.190434 0.693179i
\(593\) 35.4686 1.45652 0.728261 0.685300i \(-0.240329\pi\)
0.728261 + 0.685300i \(0.240329\pi\)
\(594\) 1.52463 8.10942i 0.0625562 0.332733i
\(595\) 5.82079 + 28.6181i 0.238629 + 1.17323i
\(596\) 0.928042 1.92998i 0.0380141 0.0790552i
\(597\) 2.09547 6.74057i 0.0857618 0.275873i
\(598\) −30.1406 6.87014i −1.23254 0.280941i
\(599\) −15.4349 −0.630652 −0.315326 0.948983i \(-0.602114\pi\)
−0.315326 + 0.948983i \(0.602114\pi\)
\(600\) −24.4566 + 1.36882i −0.998437 + 0.0558817i
\(601\) 15.2326 0.621350 0.310675 0.950516i \(-0.399445\pi\)
0.310675 + 0.950516i \(0.399445\pi\)
\(602\) 26.8395 + 6.11769i 1.09390 + 0.249338i
\(603\) −4.27911 + 3.27895i −0.174259 + 0.133529i
\(604\) 7.58326 15.7704i 0.308559 0.641688i
\(605\) 16.0551 + 14.7134i 0.652735 + 0.598186i
\(606\) −1.29244 + 2.22873i −0.0525019 + 0.0905360i
\(607\) 34.7595 1.41085 0.705423 0.708787i \(-0.250757\pi\)
0.705423 + 0.708787i \(0.250757\pi\)
\(608\) −5.41909 39.5706i −0.219773 1.60480i
\(609\) −1.15323 + 0.0147120i −0.0467311 + 0.000596161i
\(610\) 12.2373 + 4.29589i 0.495475 + 0.173935i
\(611\) 56.0255 + 40.7049i 2.26655 + 1.64675i
\(612\) 29.1664 6.08307i 1.17898 0.245894i
\(613\) −13.5100 18.5950i −0.545665 0.751043i 0.443751 0.896150i \(-0.353647\pi\)
−0.989416 + 0.145107i \(0.953647\pi\)
\(614\) 32.3182 + 7.36648i 1.30426 + 0.297287i
\(615\) −10.4893 9.36937i −0.422969 0.377810i
\(616\) 2.22936 + 8.05038i 0.0898235 + 0.324359i
\(617\) −4.54521 + 13.9887i −0.182983 + 0.563164i −0.999908 0.0135801i \(-0.995677\pi\)
0.816925 + 0.576745i \(0.195677\pi\)
\(618\) 2.61577 12.1916i 0.105222 0.490419i
\(619\) −31.5383 10.2474i −1.26763 0.411879i −0.403424 0.915013i \(-0.632180\pi\)
−0.864208 + 0.503134i \(0.832180\pi\)
\(620\) 21.5055 + 5.43529i 0.863680 + 0.218287i
\(621\) 16.0409 0.614182i 0.643701 0.0246463i
\(622\) 2.32143 + 2.65552i 0.0930807 + 0.106477i
\(623\) 18.7204 25.7664i 0.750018 1.03231i
\(624\) 26.4337 41.2845i 1.05820 1.65270i
\(625\) −11.7320 22.0762i −0.469279 0.883050i
\(626\) −12.1810 28.4759i −0.486851 1.13813i
\(627\) 4.40962 + 13.0046i 0.176103 + 0.519352i
\(628\) −1.81301 + 3.77039i −0.0723469 + 0.150455i
\(629\) −20.6504 + 6.70974i −0.823387 + 0.267535i
\(630\) −23.7464 7.66153i −0.946081 0.305243i
\(631\) −20.3437 6.61008i −0.809871 0.263143i −0.125328 0.992115i \(-0.539998\pi\)
−0.684543 + 0.728972i \(0.739998\pi\)
\(632\) −14.9486 5.59535i −0.594623 0.222571i
\(633\) 12.1529 9.06872i 0.483036 0.360449i
\(634\) −3.57401 + 5.98586i −0.141942 + 0.237729i
\(635\) −11.0666 1.26149i −0.439165 0.0500608i
\(636\) −1.68019 + 3.61143i −0.0666240 + 0.143202i
\(637\) −0.342292 0.471124i −0.0135621 0.0186666i
\(638\) 0.345183 + 0.206100i 0.0136659 + 0.00815960i
\(639\) 6.00713 20.2302i 0.237638 0.800294i
\(640\) −12.5013 21.9936i −0.494156 0.869373i
\(641\) −20.8420 28.6865i −0.823208 1.13305i −0.989149 0.146913i \(-0.953066\pi\)
0.165942 0.986136i \(-0.446934\pi\)
\(642\) −13.8697 + 23.9173i −0.547393 + 0.943941i
\(643\) −1.63973 −0.0646648 −0.0323324 0.999477i \(-0.510294\pi\)
−0.0323324 + 0.999477i \(0.510294\pi\)
\(644\) −14.3060 + 7.70915i −0.563734 + 0.303783i
\(645\) 28.0128 6.07080i 1.10300 0.239037i
\(646\) −37.3293 + 32.6329i −1.46870 + 1.28392i
\(647\) −41.1106 + 13.3577i −1.61623 + 0.525144i −0.971047 0.238888i \(-0.923217\pi\)
−0.645178 + 0.764032i \(0.723217\pi\)
\(648\) −7.69607 + 24.2646i −0.302330 + 0.953203i
\(649\) −1.90800 −0.0748955
\(650\) 49.5643 + 6.83058i 1.94407 + 0.267917i
\(651\) 18.4480 + 13.0470i 0.723035 + 0.511352i
\(652\) 19.5612 3.56164i 0.766075 0.139485i
\(653\) −4.92751 15.1653i −0.192828 0.593464i −0.999995 0.00314086i \(-0.999000\pi\)
0.807167 0.590323i \(-0.201000\pi\)
\(654\) −35.6026 + 3.67320i −1.39217 + 0.143634i
\(655\) −5.47906 26.9379i −0.214084 1.05255i
\(656\) 3.84802 14.0068i 0.150240 0.546874i
\(657\) −6.52134 + 2.30443i −0.254422 + 0.0899045i
\(658\) 36.2569 3.27386i 1.41344 0.127629i
\(659\) −1.82519 + 1.32608i −0.0710992 + 0.0516566i −0.622767 0.782407i \(-0.713992\pi\)
0.551668 + 0.834064i \(0.313992\pi\)
\(660\) 5.65421 + 6.60925i 0.220090 + 0.257265i
\(661\) −33.6669 24.4604i −1.30949 0.951400i −1.00000 0.000496742i \(-0.999842\pi\)
−0.309489 0.950903i \(-0.600158\pi\)
\(662\) −8.32797 4.97243i −0.323676 0.193259i
\(663\) −60.8516 + 0.776299i −2.36328 + 0.0301490i
\(664\) −14.3245 21.6593i −0.555898 0.840546i
\(665\) 40.6908 8.27632i 1.57792 0.320942i
\(666\) 3.66008 18.1870i 0.141825 0.704732i
\(667\) −0.241689 + 0.743843i −0.00935825 + 0.0288017i
\(668\) 30.3549 + 28.9883i 1.17446 + 1.12159i
\(669\) 3.33157 + 4.46461i 0.128806 + 0.172612i
\(670\) 0.133237 5.68099i 0.00514740 0.219476i
\(671\) −1.42311 4.37989i −0.0549387 0.169084i
\(672\) −3.82192 25.4851i −0.147434 0.983110i
\(673\) −24.8246 + 34.1682i −0.956920 + 1.31709i −0.00853574 + 0.999964i \(0.502717\pi\)
−0.948384 + 0.317124i \(0.897283\pi\)
\(674\) −15.6553 36.5978i −0.603020 1.40969i
\(675\) −25.7767 + 3.25016i −0.992144 + 0.125099i
\(676\) −51.1980 + 53.6116i −1.96915 + 2.06198i
\(677\) −35.8387 26.0384i −1.37739 1.00074i −0.997118 0.0758625i \(-0.975829\pi\)
−0.380276 0.924873i \(-0.624171\pi\)
\(678\) −1.01797 + 0.105027i −0.0390950 + 0.00403352i
\(679\) 4.19100 1.36174i 0.160836 0.0522587i
\(680\) −14.2697 + 27.9765i −0.547219 + 1.07285i
\(681\) −15.3954 + 11.4883i −0.589953 + 0.440233i
\(682\) −3.09775 7.24170i −0.118619 0.277299i
\(683\) −36.2387 11.7747i −1.38663 0.450545i −0.481789 0.876287i \(-0.660013\pi\)
−0.904844 + 0.425742i \(0.860013\pi\)
\(684\) −8.64925 41.4703i −0.330712 1.58566i
\(685\) 10.3465 22.7001i 0.395320 0.867326i
\(686\) −25.6845 5.85443i −0.980640 0.223523i
\(687\) 0.143541 + 11.2517i 0.00547642 + 0.429279i
\(688\) 18.4843 + 23.1230i 0.704706 + 0.881557i
\(689\) 4.78216 6.58207i 0.182186 0.250757i
\(690\) −10.0917 + 13.5823i −0.384186 + 0.517068i
\(691\) 20.6338 + 28.4000i 0.784948 + 1.08039i 0.994719 + 0.102637i \(0.0327281\pi\)
−0.209771 + 0.977751i \(0.567272\pi\)
\(692\) −9.19602 17.0652i −0.349580 0.648720i
\(693\) 2.95199 + 8.35385i 0.112137 + 0.317336i
\(694\) −51.7434 + 4.67224i −1.96415 + 0.177356i
\(695\) 2.55385 22.4040i 0.0968731 0.849833i
\(696\) −0.980130 0.760001i −0.0371517 0.0288078i
\(697\) −17.1499 + 5.57235i −0.649600 + 0.211068i
\(698\) 3.21513 + 0.732844i 0.121694 + 0.0277385i
\(699\) 16.3397 23.1037i 0.618023 0.873863i
\(700\) 21.9797 14.4451i 0.830756 0.545974i
\(701\) 24.1415i 0.911812i 0.890028 + 0.455906i \(0.150685\pi\)
−0.890028 + 0.455906i \(0.849315\pi\)
\(702\) 24.9279 45.6305i 0.940842 1.72221i
\(703\) 9.54028 + 29.3620i 0.359818 + 1.10741i
\(704\) −3.51609 + 8.26637i −0.132518 + 0.311551i
\(705\) 32.7517 19.0832i 1.23350 0.718715i
\(706\) 3.08913 + 34.2111i 0.116261 + 1.28755i
\(707\) 2.76638i 0.104041i
\(708\) 5.84292 + 0.712235i 0.219591 + 0.0267674i
\(709\) −12.4837 + 9.06991i −0.468834 + 0.340628i −0.796987 0.603997i \(-0.793574\pi\)
0.328153 + 0.944625i \(0.393574\pi\)
\(710\) 12.6496 + 18.2980i 0.474730 + 0.686712i
\(711\) −16.2293 4.81911i −0.608647 0.180731i
\(712\) 33.0078 9.14071i 1.23702 0.342563i
\(713\) 12.3966 9.00667i 0.464257 0.337303i
\(714\) −23.8151 + 21.3610i −0.891258 + 0.799414i
\(715\) −8.74757 15.4632i −0.327140 0.578292i
\(716\) 1.29475 9.60042i 0.0483871 0.358785i
\(717\) −19.2383 25.7812i −0.718468 0.962815i
\(718\) 31.3089 13.3929i 1.16844 0.499818i
\(719\) 0.511996 1.57576i 0.0190942 0.0587659i −0.941055 0.338252i \(-0.890164\pi\)
0.960150 + 0.279487i \(0.0901642\pi\)
\(720\) −14.8479 22.3504i −0.553349 0.832949i
\(721\) 4.13734 + 12.7334i 0.154083 + 0.474218i
\(722\) 28.7144 + 32.8469i 1.06864 + 1.22244i
\(723\) 17.8900 6.06618i 0.665336 0.225604i
\(724\) 13.8729 14.5270i 0.515584 0.539890i
\(725\) 0.284886 1.23337i 0.0105804 0.0458060i
\(726\) −5.00451 + 23.3251i −0.185735 + 0.865674i
\(727\) 9.30425 + 6.75993i 0.345076 + 0.250712i 0.746800 0.665048i \(-0.231589\pi\)
−0.401725 + 0.915760i \(0.631589\pi\)
\(728\) −2.31547 + 52.5866i −0.0858171 + 1.94899i
\(729\) −6.35553 + 26.2413i −0.235390 + 0.971901i
\(730\) 2.41489 6.87909i 0.0893791 0.254607i
\(731\) 11.3563 34.9510i 0.420027 1.29271i
\(732\) 2.72308 + 13.9439i 0.100648 + 0.515382i
\(733\) 11.8534 + 3.85140i 0.437815 + 0.142255i 0.519627 0.854393i \(-0.326071\pi\)
−0.0818124 + 0.996648i \(0.526071\pi\)
\(734\) −17.6235 + 29.5164i −0.650497 + 1.08947i
\(735\) −0.311521 + 0.0675113i −0.0114906 + 0.00249019i
\(736\) −17.1997 3.09533i −0.633988 0.114095i
\(737\) −1.63244 + 1.18604i −0.0601317 + 0.0436882i
\(738\) 3.03965 15.1041i 0.111891 0.555989i
\(739\) 3.08442 4.24534i 0.113462 0.156167i −0.748509 0.663125i \(-0.769230\pi\)
0.861971 + 0.506957i \(0.169230\pi\)
\(740\) 12.5217 + 15.0204i 0.460305 + 0.552160i
\(741\) 1.10379 + 86.5222i 0.0405486 + 3.17847i
\(742\) −0.384625 4.25959i −0.0141200 0.156375i
\(743\) 19.7148i 0.723266i −0.932320 0.361633i \(-0.882219\pi\)
0.932320 0.361633i \(-0.117781\pi\)
\(744\) 6.78310 + 23.3329i 0.248681 + 0.855424i
\(745\) 1.17889 + 2.08395i 0.0431913 + 0.0763500i
\(746\) −23.2075 + 20.2877i −0.849685 + 0.742786i
\(747\) −16.7524 21.8624i −0.612940 0.799903i
\(748\) 10.9714 1.99763i 0.401153 0.0730407i
\(749\) 29.6871i 1.08474i
\(750\) 14.3576 23.3208i 0.524266 0.851554i
\(751\) 43.6176i 1.59163i −0.605540 0.795815i \(-0.707043\pi\)
0.605540 0.795815i \(-0.292957\pi\)
\(752\) 32.6977 + 21.5288i 1.19236 + 0.785073i
\(753\) 23.9428 + 7.44321i 0.872526 + 0.271245i
\(754\) 1.66734 + 1.90730i 0.0607209 + 0.0694597i
\(755\) 9.63302 + 17.0285i 0.350581 + 0.619729i
\(756\) −5.92156 26.6842i −0.215365 0.970495i
\(757\) 13.1585i 0.478255i 0.970988 + 0.239127i \(0.0768613\pi\)
−0.970988 + 0.239127i \(0.923139\pi\)
\(758\) 18.8106 1.69852i 0.683231 0.0616932i
\(759\) 6.00796 0.0766451i 0.218075 0.00278204i
\(760\) 39.7786 + 20.2895i 1.44292 + 0.735977i
\(761\) 8.19231 11.2758i 0.296971 0.408746i −0.634292 0.773094i \(-0.718708\pi\)
0.931263 + 0.364348i \(0.118708\pi\)
\(762\) −4.94143 11.1560i −0.179009 0.404138i
\(763\) 31.0917 22.5894i 1.12559 0.817791i
\(764\) −38.3335 + 6.97965i −1.38686 + 0.252515i
\(765\) −13.0376 + 30.6532i −0.471376 + 1.10827i
\(766\) 3.22193 + 1.92374i 0.116413 + 0.0695074i
\(767\) −11.4345 3.71531i −0.412877 0.134152i
\(768\) 13.8532 24.0019i 0.499884 0.866093i
\(769\) 10.7577 33.1089i 0.387933 1.19394i −0.546397 0.837526i \(-0.684001\pi\)
0.934330 0.356409i \(-0.115999\pi\)
\(770\) −8.81213 3.09348i −0.317567 0.111481i
\(771\) 5.96564 + 1.85456i 0.214847 + 0.0667904i
\(772\) −3.23269 + 6.72280i −0.116347 + 0.241959i
\(773\) 26.9509 + 19.5810i 0.969357 + 0.704279i 0.955305 0.295622i \(-0.0955269\pi\)
0.0140523 + 0.999901i \(0.495527\pi\)
\(774\) 21.2617 + 23.1046i 0.764237 + 0.830479i
\(775\) −18.7185 + 16.2681i −0.672387 + 0.584369i
\(776\) 4.43816 + 1.66123i 0.159321 + 0.0596347i
\(777\) 6.39676 + 18.8649i 0.229482 + 0.676775i
\(778\) −12.7140 + 11.1145i −0.455821 + 0.398473i
\(779\) 7.92308 + 24.3847i 0.283874 + 0.873674i
\(780\) 21.0157 + 50.6189i 0.752482 + 1.81245i
\(781\) 2.44087 7.51224i 0.0873413 0.268809i
\(782\) 8.53248 + 19.9466i 0.305121 + 0.713289i
\(783\) −1.09307 0.731946i −0.0390630 0.0261576i
\(784\) −0.205557 0.257144i −0.00734134 0.00918370i
\(785\) −2.30306 4.07117i −0.0821999 0.145306i
\(786\) 22.4170 20.1069i 0.799587 0.717189i
\(787\) 18.5647 13.4881i 0.661762 0.480798i −0.205496 0.978658i \(-0.565881\pi\)
0.867257 + 0.497860i \(0.165881\pi\)
\(788\) 1.61869 12.0024i 0.0576634 0.427567i
\(789\) 0.280469 + 0.827142i 0.00998497 + 0.0294470i
\(790\) 14.6792 10.1479i 0.522264 0.361046i
\(791\) 0.888993 0.645891i 0.0316090 0.0229652i
\(792\) −3.11135 + 9.00568i −0.110557 + 0.320003i
\(793\) 29.0196i 1.03052i
\(794\) −1.14131 + 0.103056i −0.0405034 + 0.00365731i
\(795\) −2.24196 3.84778i −0.0795141 0.136467i
\(796\) −3.53219 + 7.34566i −0.125195 + 0.260360i
\(797\) 15.6797 + 48.2572i 0.555404 + 1.70936i 0.694873 + 0.719133i \(0.255461\pi\)
−0.139468 + 0.990227i \(0.544539\pi\)
\(798\) 30.3722 + 33.8617i 1.07516 + 1.19869i
\(799\) 48.5999i 1.71934i
\(800\) 28.1675 + 2.56753i 0.995871 + 0.0907758i
\(801\) 34.2520 12.1036i 1.21024 0.427659i
\(802\) −6.27091 + 27.5117i −0.221433 + 0.971472i
\(803\) −2.46211 + 0.799990i −0.0868861 + 0.0282310i
\(804\) 5.44180 3.02266i 0.191918 0.106601i
\(805\) 2.05778 18.0521i 0.0725271 0.636254i
\(806\) −4.46345 49.4312i −0.157218 1.74114i
\(807\) −0.216558 0.153156i −0.00762320 0.00539136i
\(808\) 1.85280 2.32752i 0.0651812 0.0818818i
\(809\) −30.4807 41.9530i −1.07164 1.47499i −0.868402 0.495861i \(-0.834852\pi\)
−0.203241 0.979129i \(-0.565148\pi\)
\(810\) −17.3572 22.5550i −0.609869 0.792502i
\(811\) −2.24946 + 3.09612i −0.0789894 + 0.108720i −0.846683 0.532097i \(-0.821404\pi\)
0.767694 + 0.640817i \(0.221404\pi\)
\(812\) 1.31979 + 0.177993i 0.0463156 + 0.00624631i
\(813\) −23.3019 + 0.297268i −0.817234 + 0.0104257i
\(814\) 1.54316 6.77015i 0.0540878 0.237294i
\(815\) −9.21958 + 20.2276i −0.322948 + 0.708542i
\(816\) −34.3436 + 2.02192i −1.20227 + 0.0707814i
\(817\) −49.6953 16.1470i −1.73862 0.564912i
\(818\) −28.2074 + 12.0662i −0.986250 + 0.421884i
\(819\) 1.42426 + 55.8124i 0.0497675 + 1.95024i
\(820\) 10.3991 + 12.4742i 0.363152 + 0.435619i
\(821\) −16.5508 + 5.37769i −0.577628 + 0.187683i −0.583238 0.812302i \(-0.698214\pi\)
0.00560959 + 0.999984i \(0.498214\pi\)
\(822\) 27.1836 2.80460i 0.948137 0.0978215i
\(823\) −34.6505 25.1751i −1.20784 0.877547i −0.212808 0.977094i \(-0.568261\pi\)
−0.995033 + 0.0995466i \(0.968261\pi\)
\(824\) −5.04729 + 13.4844i −0.175831 + 0.469751i
\(825\) −9.67598 + 0.969996i −0.336874 + 0.0337709i
\(826\) −5.81097 + 2.48574i −0.202190 + 0.0864899i
\(827\) 10.1653 13.9913i 0.353482 0.486526i −0.594836 0.803847i \(-0.702783\pi\)
0.948318 + 0.317321i \(0.102783\pi\)
\(828\) −18.4270 2.00800i −0.640382 0.0697827i
\(829\) 3.11956 + 9.60102i 0.108347 + 0.333457i 0.990501 0.137503i \(-0.0439076\pi\)
−0.882155 + 0.470960i \(0.843908\pi\)
\(830\) 29.0247 + 0.680721i 1.00746 + 0.0236282i
\(831\) −40.0431 + 29.8808i −1.38908 + 1.03655i
\(832\) −37.1682 + 42.6933i −1.28858 + 1.48012i
\(833\) −0.126290 + 0.388679i −0.00437567 + 0.0134669i
\(834\) 22.5849 10.0038i 0.782052 0.346403i
\(835\) −45.9857 + 9.35330i −1.59140 + 0.323684i
\(836\) −2.84034 15.5997i −0.0982354 0.539526i
\(837\) 8.89621 + 24.1887i 0.307498 + 0.836084i
\(838\) −10.4684 + 17.5327i −0.361623 + 0.605657i
\(839\) −11.1750 8.11910i −0.385803 0.280302i 0.377930 0.925834i \(-0.376636\pi\)
−0.763734 + 0.645532i \(0.776636\pi\)
\(840\) 25.8309 + 12.7627i 0.891251 + 0.440356i
\(841\) −23.4096 + 17.0081i −0.807229 + 0.586486i
\(842\) −0.375951 4.16352i −0.0129561 0.143485i
\(843\) −0.841257 0.594962i −0.0289744 0.0204916i
\(844\) −15.4139 + 8.30619i −0.530568 + 0.285911i
\(845\) −16.5194 81.2182i −0.568286 2.79399i
\(846\) 36.1835 + 20.3706i 1.24402 + 0.700355i
\(847\) −7.91559 24.3617i −0.271983 0.837077i
\(848\) 2.52927 3.84144i 0.0868556 0.131916i
\(849\) 19.0640 26.9559i 0.654275 0.925123i
\(850\) −16.5673 30.9583i −0.568252 1.06186i
\(851\) 13.5087 0.463071
\(852\) −10.2790 + 22.0938i −0.352153 + 0.756922i
\(853\) 48.4207 15.7328i 1.65789 0.538682i 0.677464 0.735556i \(-0.263079\pi\)
0.980429 + 0.196874i \(0.0630790\pi\)
\(854\) −10.0403 11.4853i −0.343573 0.393019i
\(855\) 43.5845 + 18.5376i 1.49056 + 0.633973i
\(856\) 19.8830 24.9774i 0.679588 0.853711i
\(857\) 2.33030 0.0796016 0.0398008 0.999208i \(-0.487328\pi\)
0.0398008 + 0.999208i \(0.487328\pi\)
\(858\) 9.76305 16.8357i 0.333305 0.574761i
\(859\) −25.9926 35.7758i −0.886856 1.22065i −0.974474 0.224499i \(-0.927925\pi\)
0.0876178 0.996154i \(-0.472075\pi\)
\(860\) −33.0239 + 2.20275i −1.12610 + 0.0751132i
\(861\) 5.31243 + 15.6671i 0.181047 + 0.533932i
\(862\) 4.58508 7.67923i 0.156169 0.261556i
\(863\) 28.1433 + 38.7360i 0.958010 + 1.31859i 0.947876 + 0.318640i \(0.103226\pi\)
0.0101346 + 0.999949i \(0.496774\pi\)
\(864\) 12.8897 26.4169i 0.438517 0.898723i
\(865\) 21.5339 + 2.45466i 0.732174 + 0.0834611i
\(866\) 16.4410 + 9.81650i 0.558687 + 0.333578i
\(867\) 7.93243 + 10.6302i 0.269399 + 0.361021i
\(868\) −18.8690 18.0195i −0.640454 0.611621i
\(869\) −6.02656 1.95815i −0.204437 0.0664256i
\(870\) 1.32330 0.414376i 0.0448640 0.0140487i
\(871\) −12.0926 + 3.92912i −0.409742 + 0.133133i
\(872\) 41.2886 + 1.81800i 1.39821 + 0.0615653i
\(873\) 4.81840 + 1.43077i 0.163078 + 0.0484242i
\(874\) 28.3612 12.1320i 0.959331 0.410369i
\(875\) −0.774563 + 29.3958i −0.0261850 + 0.993759i
\(876\) 7.83844 1.53075i 0.264836 0.0517193i
\(877\) −0.964828 + 1.32797i −0.0325799 + 0.0448424i −0.824996 0.565138i \(-0.808823\pi\)
0.792416 + 0.609981i \(0.208823\pi\)
\(878\) 14.9916 13.1055i 0.505942 0.442289i
\(879\) 11.6415 + 3.61904i 0.392658 + 0.122067i
\(880\) −5.34228 8.50469i −0.180088 0.286693i
\(881\) 21.9092 + 7.11873i 0.738140 + 0.239836i 0.653870 0.756607i \(-0.273144\pi\)
0.0842696 + 0.996443i \(0.473144\pi\)
\(882\) −0.236445 0.256939i −0.00796151 0.00865159i
\(883\) 13.2951 40.9180i 0.447415 1.37700i −0.432398 0.901683i \(-0.642333\pi\)
0.879813 0.475319i \(-0.157667\pi\)
\(884\) 69.6406 + 9.39202i 2.34227 + 0.315888i
\(885\) −4.38403 + 4.90806i −0.147368 + 0.164983i
\(886\) 5.57487 24.4580i 0.187291 0.821683i
\(887\) −9.80534 13.4959i −0.329231 0.453148i 0.612026 0.790837i \(-0.290355\pi\)
−0.941258 + 0.337689i \(0.890355\pi\)
\(888\) −7.25290 + 20.1564i −0.243391 + 0.676404i
\(889\) 10.5992 + 7.70074i 0.355484 + 0.258275i
\(890\) −12.6837 + 36.1311i −0.425160 + 1.21112i
\(891\) −2.62863 + 9.75812i −0.0880626 + 0.326909i
\(892\) −3.05144 5.66259i −0.102170 0.189597i
\(893\) −69.1021 −2.31241
\(894\) −1.31575 + 2.26891i −0.0440051 + 0.0758838i
\(895\) 7.98488 + 7.31760i 0.266905 + 0.244600i
\(896\) 0.0608705 + 29.7567i 0.00203354 + 0.994102i
\(897\) 36.1546 + 11.2395i 1.20717 + 0.375277i
\(898\) −8.88945 + 38.9998i −0.296645 + 1.30144i
\(899\) −1.25571 −0.0418802
\(900\) 29.9931 + 0.641489i 0.999771 + 0.0213830i
\(901\) −5.70969 −0.190217
\(902\) 1.28158 5.62252i 0.0426718 0.187210i
\(903\) −32.1948 10.0085i −1.07138 0.333063i
\(904\) 1.18055 + 0.0519815i 0.0392645 + 0.00172888i
\(905\) 4.47621 + 22.0074i 0.148794 + 0.731552i
\(906\) −10.7513 + 18.5399i −0.357187 + 0.615945i
\(907\) 52.4596 1.74189 0.870946 0.491378i \(-0.163507\pi\)
0.870946 + 0.491378i \(0.163507\pi\)
\(908\) 19.5264 10.5223i 0.648006 0.349196i
\(909\) 1.78896 2.59924i 0.0593362 0.0862115i
\(910\) −46.7869 35.6983i −1.55097 1.18339i
\(911\) −26.9064 19.5486i −0.891449 0.647676i 0.0448064 0.998996i \(-0.485733\pi\)
−0.936255 + 0.351320i \(0.885733\pi\)
\(912\) 2.87488 + 48.8317i 0.0951968 + 1.61698i
\(913\) −6.05957 8.34028i −0.200542 0.276023i
\(914\) −1.86853 + 8.19761i −0.0618055 + 0.271153i
\(915\) −14.5366 6.40297i −0.480564 0.211676i
\(916\) 1.73662 12.8768i 0.0573795 0.425462i
\(917\) −9.99183 + 30.7517i −0.329959 + 1.01551i
\(918\) −36.1900 + 4.66962i −1.19445 + 0.154120i
\(919\) 23.6001 + 7.66815i 0.778496 + 0.252949i 0.671198 0.741278i \(-0.265780\pi\)
0.107298 + 0.994227i \(0.465780\pi\)
\(920\) 13.8218 13.8101i 0.455692 0.455306i
\(921\) −38.7667 12.0516i −1.27741 0.397112i
\(922\) −32.3440 + 28.2748i −1.06519 + 0.931181i
\(923\) 29.2561 40.2675i 0.962975 1.32542i
\(924\) −1.96090 10.0411i −0.0645088 0.330327i
\(925\) −21.7803 + 1.90314i −0.716133 + 0.0625749i
\(926\) 15.7176 6.72345i 0.516512 0.220946i
\(927\) −4.34708 + 14.6396i −0.142777 + 0.480829i
\(928\) 0.991206 + 1.03369i 0.0325379 + 0.0339326i
\(929\) −28.5293 + 9.26973i −0.936016 + 0.304130i −0.737021 0.675870i \(-0.763768\pi\)
−0.198995 + 0.980000i \(0.563768\pi\)
\(930\) −25.7460 8.67081i −0.844245 0.284327i
\(931\) 0.552646 + 0.179565i 0.0181122 + 0.00588502i
\(932\) −22.5670 + 23.6309i −0.739207 + 0.774055i
\(933\) −2.58352 3.46217i −0.0845808 0.113346i
\(934\) 25.3993 + 15.1653i 0.831090 + 0.496224i
\(935\) −5.17102 + 11.3451i −0.169111 + 0.371026i
\(936\) −36.1823 + 47.9121i −1.18265 + 1.56605i
\(937\) 11.4144 + 15.7106i 0.372893 + 0.513243i 0.953684 0.300809i \(-0.0972568\pi\)
−0.580791 + 0.814052i \(0.697257\pi\)
\(938\) −3.42657 + 5.73891i −0.111881 + 0.187382i
\(939\) 12.1810 + 35.9236i 0.397513 + 1.17232i
\(940\) −40.6350 + 16.2661i −1.32537 + 0.530541i
\(941\) −14.0424 19.3277i −0.457770 0.630067i 0.516274 0.856423i \(-0.327319\pi\)
−0.974044 + 0.226357i \(0.927319\pi\)
\(942\) 2.57042 4.43251i 0.0837488 0.144419i
\(943\) 11.2188 0.365334
\(944\) −6.55394 1.80053i −0.213313 0.0586023i
\(945\) 28.2719 + 11.6012i 0.919686 + 0.377386i
\(946\) 7.73496 + 8.84816i 0.251485 + 0.287678i
\(947\) −4.46080 + 1.44940i −0.144957 + 0.0470992i −0.380597 0.924741i \(-0.624281\pi\)
0.235640 + 0.971840i \(0.424281\pi\)
\(948\) 17.7244 + 8.24615i 0.575661 + 0.267823i
\(949\) −16.3131 −0.529545
\(950\) −44.0182 + 23.5562i −1.42814 + 0.764265i
\(951\) 4.93028 6.97125i 0.159875 0.226058i
\(952\) 30.8117 20.3774i 0.998613 0.660436i
\(953\) −16.6302 51.1824i −0.538704 1.65796i −0.735506 0.677518i \(-0.763055\pi\)
0.196801 0.980443i \(-0.436945\pi\)
\(954\) 2.39321 4.25097i 0.0774829 0.137630i
\(955\) 18.0673 39.6394i 0.584645 1.28270i
\(956\) 17.6207 + 32.6989i 0.569894 + 1.05756i
\(957\) −0.402007 0.284312i −0.0129951 0.00919050i
\(958\) 4.54957 + 50.3849i 0.146990 + 1.62786i
\(959\) −23.7394 + 17.2477i −0.766584 + 0.556956i
\(960\) 13.1851 + 28.0384i 0.425548 + 0.904936i
\(961\) −5.17662 3.76103i −0.166988 0.121324i
\(962\) 22.4311 37.5683i 0.723208 1.21125i
\(963\) 19.1980 27.8934i 0.618648 0.898854i
\(964\) −21.4600 + 3.90738i −0.691181 + 0.125848i
\(965\) −4.10648 7.25911i −0.132192 0.233679i
\(966\) 18.1979 8.06059i 0.585508 0.259345i
\(967\) −17.7400 + 54.5980i −0.570479 + 1.75575i 0.0806028 + 0.996746i \(0.474315\pi\)
−0.651082 + 0.759008i \(0.725685\pi\)
\(968\) 9.65650 25.7984i 0.310372 0.829192i
\(969\) 48.6685 36.3172i 1.56346 1.16668i
\(970\) −4.35819 + 3.01286i −0.139933 + 0.0967371i
\(971\) −1.93506 5.95550i −0.0620990 0.191121i 0.915194 0.403014i \(-0.132037\pi\)
−0.977293 + 0.211893i \(0.932037\pi\)
\(972\) 11.6924 28.9014i 0.375032 0.927012i
\(973\) −15.5899 + 21.4577i −0.499790 + 0.687902i
\(974\) −54.2137 + 23.1908i −1.73712 + 0.743081i
\(975\) −59.8764 13.0282i −1.91758 0.417236i
\(976\) −0.755173 16.3878i −0.0241725 0.524561i
\(977\) 7.15321 + 5.19711i 0.228851 + 0.166270i 0.696302 0.717749i \(-0.254827\pi\)
−0.467451 + 0.884019i \(0.654827\pi\)
\(978\) −24.2228 + 2.49912i −0.774558 + 0.0799130i
\(979\) 12.9318 4.20179i 0.413301 0.134290i
\(980\) 0.367248 0.0244961i 0.0117313 0.000782499i
\(981\) 43.8213 1.11826i 1.39911 0.0357033i
\(982\) 43.3055 18.5246i 1.38193 0.591144i
\(983\) 23.3175 + 7.57633i 0.743714 + 0.241647i 0.656274 0.754522i \(-0.272131\pi\)
0.0874399 + 0.996170i \(0.472131\pi\)
\(984\) −6.02344 + 16.7396i −0.192020 + 0.533640i
\(985\) 9.98264 + 9.14840i 0.318073 + 0.291492i
\(986\) 0.395107 1.73341i 0.0125828 0.0552031i
\(987\) −44.5825 + 0.568750i −1.41908 + 0.0181035i
\(988\) 13.3541 99.0189i 0.424850 3.15021i
\(989\) −13.4388 + 18.4970i −0.427330 + 0.588170i
\(990\) −6.27924 8.60521i −0.199567 0.273492i
\(991\) −28.2279 38.8523i −0.896688 1.23418i −0.971513 0.236988i \(-0.923840\pi\)
0.0748249 0.997197i \(-0.476160\pi\)
\(992\) −3.80692 27.7984i −0.120870 0.882600i
\(993\) 9.69892 + 6.85937i 0.307786 + 0.217676i
\(994\) −2.35304 26.0591i −0.0746339 0.826546i
\(995\) −4.48695 7.93166i −0.142246 0.251450i
\(996\) 15.4431 + 27.8027i 0.489332 + 0.880962i
\(997\) 52.2528 16.9780i 1.65486 0.537698i 0.675078 0.737746i \(-0.264110\pi\)
0.979786 + 0.200048i \(0.0641099\pi\)
\(998\) 0.928244 4.07239i 0.0293830 0.128909i
\(999\) −6.18928 + 21.8618i −0.195820 + 0.691677i
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 300.2.r.a.59.53 yes 224
3.2 odd 2 inner 300.2.r.a.59.4 224
4.3 odd 2 inner 300.2.r.a.59.39 yes 224
12.11 even 2 inner 300.2.r.a.59.18 yes 224
25.14 even 10 inner 300.2.r.a.239.18 yes 224
75.14 odd 10 inner 300.2.r.a.239.39 yes 224
100.39 odd 10 inner 300.2.r.a.239.4 yes 224
300.239 even 10 inner 300.2.r.a.239.53 yes 224
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
300.2.r.a.59.4 224 3.2 odd 2 inner
300.2.r.a.59.18 yes 224 12.11 even 2 inner
300.2.r.a.59.39 yes 224 4.3 odd 2 inner
300.2.r.a.59.53 yes 224 1.1 even 1 trivial
300.2.r.a.239.4 yes 224 100.39 odd 10 inner
300.2.r.a.239.18 yes 224 25.14 even 10 inner
300.2.r.a.239.39 yes 224 75.14 odd 10 inner
300.2.r.a.239.53 yes 224 300.239 even 10 inner