Properties

Label 378.2.w.b.121.5
Level $378$
Weight $2$
Character 378.121
Analytic conductor $3.018$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [378,2,Mod(25,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([10, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.w (of order \(9\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(12\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 121.5
Character \(\chi\) \(=\) 378.121
Dual form 378.2.w.b.25.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.939693 + 0.342020i) q^{2} +(-0.902405 - 1.47840i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-3.70320 + 1.34785i) q^{5} +(-0.342341 - 1.69788i) q^{6} +(-0.207321 - 2.63762i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-1.37133 + 2.66823i) q^{9} +O(q^{10})\) \(q+(0.939693 + 0.342020i) q^{2} +(-0.902405 - 1.47840i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-3.70320 + 1.34785i) q^{5} +(-0.342341 - 1.69788i) q^{6} +(-0.207321 - 2.63762i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-1.37133 + 2.66823i) q^{9} -3.94086 q^{10} +(-3.21532 - 1.17028i) q^{11} +(0.259015 - 1.71257i) q^{12} +(-0.849585 + 4.81824i) q^{13} +(0.707299 - 2.54946i) q^{14} +(5.33445 + 4.25849i) q^{15} +(0.173648 + 0.984808i) q^{16} -7.47519 q^{17} +(-2.20122 + 2.03829i) q^{18} +0.401606 q^{19} +(-3.70320 - 1.34785i) q^{20} +(-3.71236 + 2.68670i) q^{21} +(-2.62115 - 2.19941i) q^{22} +(0.809905 - 4.59320i) q^{23} +(0.829129 - 1.52071i) q^{24} +(8.06673 - 6.76879i) q^{25} +(-2.44628 + 4.23709i) q^{26} +(5.18221 - 0.380448i) q^{27} +(1.53661 - 2.15379i) q^{28} +(-0.196696 - 1.11552i) q^{29} +(3.55625 + 5.82616i) q^{30} +(-3.94095 - 3.30685i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(1.17138 + 5.80959i) q^{33} +(-7.02438 - 2.55666i) q^{34} +(4.32287 + 9.48817i) q^{35} +(-2.76561 + 1.16251i) q^{36} +(1.59639 + 2.76503i) q^{37} +(0.377386 + 0.137357i) q^{38} +(7.88995 - 3.09197i) q^{39} +(-3.01887 - 2.53314i) q^{40} +(0.523747 - 2.97031i) q^{41} +(-4.40739 + 1.25497i) q^{42} +(-3.03657 + 2.54798i) q^{43} +(-1.71083 - 2.96325i) q^{44} +(1.48193 - 11.7293i) q^{45} +(2.33203 - 4.03919i) q^{46} +(0.854241 - 0.716794i) q^{47} +(1.29924 - 1.14542i) q^{48} +(-6.91404 + 1.09367i) q^{49} +(9.89531 - 3.60160i) q^{50} +(6.74564 + 11.0513i) q^{51} +(-3.74792 + 3.14488i) q^{52} +(5.46677 + 9.46872i) q^{53} +(4.99980 + 1.41491i) q^{54} +13.4843 q^{55} +(2.18058 - 1.49835i) q^{56} +(-0.362411 - 0.593734i) q^{57} +(0.196696 - 1.11552i) q^{58} +(0.596467 - 3.38273i) q^{59} +(1.34912 + 6.69111i) q^{60} +(7.90237 - 6.63088i) q^{61} +(-2.57227 - 4.45531i) q^{62} +(7.32207 + 3.06386i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-3.34810 - 18.9880i) q^{65} +(-0.886263 + 5.85986i) q^{66} +(-1.99857 + 0.727420i) q^{67} +(-5.72632 - 4.80496i) q^{68} +(-7.52145 + 2.94756i) q^{69} +(0.817025 + 10.3945i) q^{70} +(-1.71767 + 2.97510i) q^{71} +(-2.99642 + 0.146507i) q^{72} +(1.09956 - 1.90449i) q^{73} +(0.554420 + 3.14427i) q^{74} +(-17.2864 - 5.81766i) q^{75} +(0.307648 + 0.258147i) q^{76} +(-2.42014 + 8.72340i) q^{77} +(8.47165 - 0.206983i) q^{78} +(-15.2674 - 5.55686i) q^{79} +(-1.97043 - 3.41288i) q^{80} +(-5.23890 - 7.31805i) q^{81} +(1.50807 - 2.61205i) q^{82} +(-0.188556 - 1.06935i) q^{83} +(-4.57081 - 0.328128i) q^{84} +(27.6821 - 10.0755i) q^{85} +(-3.72490 + 1.35575i) q^{86} +(-1.47168 + 1.29744i) q^{87} +(-0.594167 - 3.36969i) q^{88} +3.30103 q^{89} +(5.40422 - 10.5151i) q^{90} +(12.8848 + 1.24196i) q^{91} +(3.57287 - 2.99800i) q^{92} +(-1.33251 + 8.81042i) q^{93} +(1.04788 - 0.381398i) q^{94} +(-1.48723 + 0.541306i) q^{95} +(1.61264 - 0.631974i) q^{96} +(-10.4530 + 8.77109i) q^{97} +(-6.87113 - 1.33703i) q^{98} +(7.53184 - 6.97436i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 3 q^{6} + 3 q^{7} + 36 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 72 q + 3 q^{6} + 3 q^{7} + 36 q^{8} - 12 q^{10} - 6 q^{11} + 12 q^{13} - 3 q^{14} - 6 q^{15} + 24 q^{17} - 36 q^{19} + 18 q^{21} + 6 q^{22} - 6 q^{23} + 30 q^{25} - 18 q^{26} + 6 q^{27} + 3 q^{29} + 15 q^{30} - 9 q^{31} - 18 q^{33} - 9 q^{34} + 9 q^{35} - 3 q^{36} + 51 q^{39} - 6 q^{41} - 27 q^{42} - 24 q^{43} + 18 q^{45} + 27 q^{47} + 6 q^{48} - 69 q^{49} + 6 q^{50} + 6 q^{51} - 6 q^{52} - 15 q^{53} + 45 q^{54} - 72 q^{55} + 6 q^{56} + 57 q^{57} - 3 q^{58} + 15 q^{59} - 33 q^{60} - 18 q^{61} - 24 q^{62} - 12 q^{63} - 36 q^{64} - 90 q^{65} - 36 q^{66} - 66 q^{67} - 18 q^{68} - 39 q^{69} - 12 q^{70} + 12 q^{71} + 30 q^{73} + 9 q^{74} - 21 q^{75} - 87 q^{77} + 6 q^{78} - 45 q^{79} - 6 q^{80} - 24 q^{81} + 33 q^{82} + 18 q^{83} + 6 q^{84} + 51 q^{85} - 12 q^{86} - 18 q^{87} - 12 q^{88} + 72 q^{89} - 69 q^{90} - 30 q^{91} + 12 q^{92} - 48 q^{93} + 21 q^{95} + 48 q^{97} + 6 q^{98} + 90 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 + 0.342020i 0.664463 + 0.241845i
\(3\) −0.902405 1.47840i −0.521004 0.853554i
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) −3.70320 + 1.34785i −1.65612 + 0.602778i −0.989746 0.142840i \(-0.954377\pi\)
−0.666374 + 0.745618i \(0.732154\pi\)
\(6\) −0.342341 1.69788i −0.139760 0.693157i
\(7\) −0.207321 2.63762i −0.0783602 0.996925i
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) −1.37133 + 2.66823i −0.457110 + 0.889410i
\(10\) −3.94086 −1.24621
\(11\) −3.21532 1.17028i −0.969455 0.352853i −0.191723 0.981449i \(-0.561408\pi\)
−0.777732 + 0.628596i \(0.783630\pi\)
\(12\) 0.259015 1.71257i 0.0747711 0.494378i
\(13\) −0.849585 + 4.81824i −0.235633 + 1.33634i 0.605645 + 0.795735i \(0.292915\pi\)
−0.841277 + 0.540604i \(0.818196\pi\)
\(14\) 0.707299 2.54946i 0.189034 0.681371i
\(15\) 5.33445 + 4.25849i 1.37735 + 1.09954i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) −7.47519 −1.81300 −0.906499 0.422207i \(-0.861256\pi\)
−0.906499 + 0.422207i \(0.861256\pi\)
\(18\) −2.20122 + 2.03829i −0.518832 + 0.480430i
\(19\) 0.401606 0.0921348 0.0460674 0.998938i \(-0.485331\pi\)
0.0460674 + 0.998938i \(0.485331\pi\)
\(20\) −3.70320 1.34785i −0.828060 0.301389i
\(21\) −3.71236 + 2.68670i −0.810104 + 0.586286i
\(22\) −2.62115 2.19941i −0.558831 0.468915i
\(23\) 0.809905 4.59320i 0.168877 0.957748i −0.776100 0.630610i \(-0.782805\pi\)
0.944977 0.327138i \(-0.106084\pi\)
\(24\) 0.829129 1.52071i 0.169245 0.310413i
\(25\) 8.06673 6.76879i 1.61335 1.35376i
\(26\) −2.44628 + 4.23709i −0.479756 + 0.830961i
\(27\) 5.18221 0.380448i 0.997316 0.0732172i
\(28\) 1.53661 2.15379i 0.290392 0.407029i
\(29\) −0.196696 1.11552i −0.0365255 0.207147i 0.961083 0.276258i \(-0.0890946\pi\)
−0.997609 + 0.0691119i \(0.977983\pi\)
\(30\) 3.55625 + 5.82616i 0.649279 + 1.06371i
\(31\) −3.94095 3.30685i −0.707816 0.593928i 0.216169 0.976356i \(-0.430644\pi\)
−0.923985 + 0.382428i \(0.875088\pi\)
\(32\) −0.173648 + 0.984808i −0.0306970 + 0.174091i
\(33\) 1.17138 + 5.80959i 0.203910 + 1.01132i
\(34\) −7.02438 2.55666i −1.20467 0.438464i
\(35\) 4.32287 + 9.48817i 0.730699 + 1.60379i
\(36\) −2.76561 + 1.16251i −0.460934 + 0.193751i
\(37\) 1.59639 + 2.76503i 0.262445 + 0.454568i 0.966891 0.255190i \(-0.0821379\pi\)
−0.704446 + 0.709757i \(0.748805\pi\)
\(38\) 0.377386 + 0.137357i 0.0612201 + 0.0222823i
\(39\) 7.88995 3.09197i 1.26340 0.495112i
\(40\) −3.01887 2.53314i −0.477326 0.400524i
\(41\) 0.523747 2.97031i 0.0817955 0.463885i −0.916207 0.400706i \(-0.868765\pi\)
0.998002 0.0631792i \(-0.0201240\pi\)
\(42\) −4.40739 + 1.25497i −0.680074 + 0.193646i
\(43\) −3.03657 + 2.54798i −0.463072 + 0.388564i −0.844260 0.535934i \(-0.819960\pi\)
0.381188 + 0.924498i \(0.375515\pi\)
\(44\) −1.71083 2.96325i −0.257918 0.446727i
\(45\) 1.48193 11.7293i 0.220913 1.74851i
\(46\) 2.33203 4.03919i 0.343839 0.595546i
\(47\) 0.854241 0.716794i 0.124604 0.104555i −0.578356 0.815784i \(-0.696306\pi\)
0.702960 + 0.711229i \(0.251861\pi\)
\(48\) 1.29924 1.14542i 0.187529 0.165327i
\(49\) −6.91404 + 1.09367i −0.987719 + 0.156238i
\(50\) 9.89531 3.60160i 1.39941 0.509343i
\(51\) 6.74564 + 11.0513i 0.944579 + 1.54749i
\(52\) −3.74792 + 3.14488i −0.519744 + 0.436117i
\(53\) 5.46677 + 9.46872i 0.750918 + 1.30063i 0.947378 + 0.320117i \(0.103722\pi\)
−0.196460 + 0.980512i \(0.562945\pi\)
\(54\) 4.99980 + 1.41491i 0.680387 + 0.192546i
\(55\) 13.4843 1.81822
\(56\) 2.18058 1.49835i 0.291392 0.200226i
\(57\) −0.362411 0.593734i −0.0480025 0.0786420i
\(58\) 0.196696 1.11552i 0.0258274 0.146475i
\(59\) 0.596467 3.38273i 0.0776534 0.440394i −0.921048 0.389449i \(-0.872665\pi\)
0.998701 0.0509454i \(-0.0162234\pi\)
\(60\) 1.34912 + 6.69111i 0.174170 + 0.863819i
\(61\) 7.90237 6.63088i 1.01180 0.848997i 0.0232207 0.999730i \(-0.492608\pi\)
0.988574 + 0.150733i \(0.0481635\pi\)
\(62\) −2.57227 4.45531i −0.326679 0.565825i
\(63\) 7.32207 + 3.06386i 0.922494 + 0.386011i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −3.34810 18.9880i −0.415280 2.35517i
\(66\) −0.886263 + 5.85986i −0.109091 + 0.721299i
\(67\) −1.99857 + 0.727420i −0.244164 + 0.0888685i −0.461204 0.887294i \(-0.652582\pi\)
0.217039 + 0.976163i \(0.430360\pi\)
\(68\) −5.72632 4.80496i −0.694419 0.582687i
\(69\) −7.52145 + 2.94756i −0.905476 + 0.354845i
\(70\) 0.817025 + 10.3945i 0.0976531 + 1.24238i
\(71\) −1.71767 + 2.97510i −0.203850 + 0.353079i −0.949766 0.312961i \(-0.898679\pi\)
0.745915 + 0.666041i \(0.232012\pi\)
\(72\) −2.99642 + 0.146507i −0.353132 + 0.0172660i
\(73\) 1.09956 1.90449i 0.128694 0.222904i −0.794477 0.607294i \(-0.792255\pi\)
0.923171 + 0.384390i \(0.125588\pi\)
\(74\) 0.554420 + 3.14427i 0.0644501 + 0.365514i
\(75\) −17.2864 5.81766i −1.99607 0.671766i
\(76\) 0.307648 + 0.258147i 0.0352897 + 0.0296115i
\(77\) −2.42014 + 8.72340i −0.275801 + 0.994123i
\(78\) 8.47165 0.206983i 0.959225 0.0234362i
\(79\) −15.2674 5.55686i −1.71771 0.625196i −0.720075 0.693897i \(-0.755892\pi\)
−0.997637 + 0.0687006i \(0.978115\pi\)
\(80\) −1.97043 3.41288i −0.220301 0.381572i
\(81\) −5.23890 7.31805i −0.582100 0.813117i
\(82\) 1.50807 2.61205i 0.166538 0.288453i
\(83\) −0.188556 1.06935i −0.0206967 0.117377i 0.972709 0.232028i \(-0.0745361\pi\)
−0.993406 + 0.114651i \(0.963425\pi\)
\(84\) −4.57081 0.328128i −0.498717 0.0358017i
\(85\) 27.6821 10.0755i 3.00254 1.09284i
\(86\) −3.72490 + 1.35575i −0.401667 + 0.146195i
\(87\) −1.47168 + 1.29744i −0.157781 + 0.139101i
\(88\) −0.594167 3.36969i −0.0633384 0.359210i
\(89\) 3.30103 0.349909 0.174954 0.984577i \(-0.444022\pi\)
0.174954 + 0.984577i \(0.444022\pi\)
\(90\) 5.40422 10.5151i 0.569655 1.10839i
\(91\) 12.8848 + 1.24196i 1.35069 + 0.130192i
\(92\) 3.57287 2.99800i 0.372498 0.312563i
\(93\) −1.33251 + 8.81042i −0.138175 + 0.913598i
\(94\) 1.04788 0.381398i 0.108081 0.0393382i
\(95\) −1.48723 + 0.541306i −0.152586 + 0.0555368i
\(96\) 1.61264 0.631974i 0.164589 0.0645006i
\(97\) −10.4530 + 8.77109i −1.06134 + 0.890569i −0.994240 0.107177i \(-0.965819\pi\)
−0.0670992 + 0.997746i \(0.521374\pi\)
\(98\) −6.87113 1.33703i −0.694088 0.135060i
\(99\) 7.53184 6.97436i 0.756978 0.700950i
\(100\) 10.5304 1.05304
\(101\) 0.226498 + 1.28454i 0.0225374 + 0.127816i 0.994001 0.109374i \(-0.0348846\pi\)
−0.971463 + 0.237190i \(0.923774\pi\)
\(102\) 2.55906 + 12.6920i 0.253385 + 1.25669i
\(103\) 7.68981 2.79886i 0.757700 0.275780i 0.0658578 0.997829i \(-0.479022\pi\)
0.691842 + 0.722049i \(0.256799\pi\)
\(104\) −4.59751 + 1.67336i −0.450823 + 0.164086i
\(105\) 10.1263 14.9531i 0.988228 1.45927i
\(106\) 1.89859 + 10.7674i 0.184407 + 1.04583i
\(107\) −7.15354 + 12.3903i −0.691559 + 1.19781i 0.279768 + 0.960068i \(0.409742\pi\)
−0.971327 + 0.237747i \(0.923591\pi\)
\(108\) 4.21435 + 3.03962i 0.405526 + 0.292487i
\(109\) −4.67627 8.09953i −0.447905 0.775794i 0.550345 0.834938i \(-0.314496\pi\)
−0.998249 + 0.0591435i \(0.981163\pi\)
\(110\) 12.6711 + 4.61191i 1.20814 + 0.439728i
\(111\) 2.64723 4.85528i 0.251264 0.460843i
\(112\) 2.56154 0.662189i 0.242043 0.0625710i
\(113\) −4.30835 3.61514i −0.405296 0.340084i 0.417241 0.908796i \(-0.362997\pi\)
−0.822536 + 0.568713i \(0.807442\pi\)
\(114\) −0.137486 0.681880i −0.0128768 0.0638639i
\(115\) 3.19172 + 18.1011i 0.297629 + 1.68794i
\(116\) 0.566363 0.980970i 0.0525855 0.0910808i
\(117\) −11.6911 8.87429i −1.08084 0.820428i
\(118\) 1.71746 2.97473i 0.158105 0.273846i
\(119\) 1.54977 + 19.7167i 0.142067 + 1.80742i
\(120\) −1.02074 + 6.74901i −0.0931805 + 0.616098i
\(121\) 0.542222 + 0.454978i 0.0492929 + 0.0413617i
\(122\) 9.69369 3.52822i 0.877626 0.319430i
\(123\) −4.86394 + 1.90612i −0.438567 + 0.171869i
\(124\) −0.893342 5.06639i −0.0802245 0.454975i
\(125\) −10.8972 + 18.8745i −0.974675 + 1.68819i
\(126\) 5.83259 + 5.38339i 0.519609 + 0.479590i
\(127\) 0.680921 + 1.17939i 0.0604220 + 0.104654i 0.894654 0.446760i \(-0.147422\pi\)
−0.834232 + 0.551413i \(0.814089\pi\)
\(128\) −0.766044 + 0.642788i −0.0677094 + 0.0568149i
\(129\) 6.50715 + 2.18995i 0.572923 + 0.192814i
\(130\) 3.34810 18.9880i 0.293647 1.66536i
\(131\) −3.11469 + 17.6643i −0.272132 + 1.54334i 0.475795 + 0.879556i \(0.342160\pi\)
−0.747927 + 0.663781i \(0.768951\pi\)
\(132\) −2.83701 + 5.20335i −0.246930 + 0.452894i
\(133\) −0.0832616 1.05928i −0.00721969 0.0918515i
\(134\) −2.12683 −0.183730
\(135\) −18.6779 + 8.39373i −1.60754 + 0.722417i
\(136\) −3.73759 6.47370i −0.320496 0.555115i
\(137\) −9.37983 + 7.87061i −0.801373 + 0.672432i −0.948532 0.316681i \(-0.897432\pi\)
0.147159 + 0.989113i \(0.452987\pi\)
\(138\) −8.07597 + 0.197316i −0.687472 + 0.0167966i
\(139\) −5.24500 + 1.90902i −0.444875 + 0.161921i −0.554737 0.832026i \(-0.687181\pi\)
0.109862 + 0.993947i \(0.464959\pi\)
\(140\) −2.78737 + 10.0470i −0.235575 + 0.849130i
\(141\) −1.83058 0.616072i −0.154163 0.0518826i
\(142\) −2.63163 + 2.20820i −0.220841 + 0.185308i
\(143\) 8.37037 14.4979i 0.699966 1.21238i
\(144\) −2.86582 0.887164i −0.238819 0.0739304i
\(145\) 2.23196 + 3.86587i 0.185354 + 0.321043i
\(146\) 1.68462 1.41357i 0.139420 0.116988i
\(147\) 7.85614 + 9.23478i 0.647963 + 0.761671i
\(148\) −0.554420 + 3.14427i −0.0455731 + 0.258458i
\(149\) −12.5034 10.4916i −1.02432 0.859503i −0.0341521 0.999417i \(-0.510873\pi\)
−0.990164 + 0.139914i \(0.955318\pi\)
\(150\) −14.2542 11.3791i −1.16385 0.929101i
\(151\) −10.3687 3.77391i −0.843796 0.307117i −0.116288 0.993216i \(-0.537100\pi\)
−0.727508 + 0.686099i \(0.759322\pi\)
\(152\) 0.200803 + 0.347801i 0.0162873 + 0.0282104i
\(153\) 10.2510 19.9455i 0.828741 1.61250i
\(154\) −5.25777 + 7.36957i −0.423683 + 0.593857i
\(155\) 19.0513 + 6.93410i 1.53024 + 0.556960i
\(156\) 8.03154 + 2.70297i 0.643038 + 0.216411i
\(157\) −2.34598 + 13.3047i −0.187229 + 1.06183i 0.735828 + 0.677168i \(0.236793\pi\)
−0.923058 + 0.384662i \(0.874318\pi\)
\(158\) −12.4461 10.4435i −0.990156 0.830839i
\(159\) 9.06531 16.6267i 0.718926 1.31858i
\(160\) −0.684323 3.88099i −0.0541005 0.306819i
\(161\) −12.2830 1.18395i −0.968036 0.0933083i
\(162\) −2.42004 8.66853i −0.190136 0.681064i
\(163\) −2.08224 + 3.60655i −0.163094 + 0.282487i −0.935977 0.352062i \(-0.885481\pi\)
0.772883 + 0.634549i \(0.218814\pi\)
\(164\) 2.31049 1.93873i 0.180419 0.151390i
\(165\) −12.1683 19.9352i −0.947302 1.55195i
\(166\) 0.188556 1.06935i 0.0146348 0.0829979i
\(167\) 12.0596 + 10.1192i 0.933203 + 0.783050i 0.976390 0.216017i \(-0.0693066\pi\)
−0.0431868 + 0.999067i \(0.513751\pi\)
\(168\) −4.18293 1.87165i −0.322720 0.144401i
\(169\) −10.2776 3.74075i −0.790587 0.287750i
\(170\) 29.4587 2.25938
\(171\) −0.550735 + 1.07158i −0.0421158 + 0.0819456i
\(172\) −3.96396 −0.302249
\(173\) −4.15976 23.5912i −0.316261 1.79360i −0.565061 0.825049i \(-0.691147\pi\)
0.248800 0.968555i \(-0.419964\pi\)
\(174\) −1.82668 + 0.715854i −0.138480 + 0.0542687i
\(175\) −19.5259 19.8736i −1.47602 1.50230i
\(176\) 0.594167 3.36969i 0.0447870 0.254000i
\(177\) −5.53929 + 2.17078i −0.416358 + 0.163166i
\(178\) 3.10196 + 1.12902i 0.232501 + 0.0846236i
\(179\) 11.0034 0.822430 0.411215 0.911538i \(-0.365105\pi\)
0.411215 + 0.911538i \(0.365105\pi\)
\(180\) 8.67469 8.03262i 0.646573 0.598717i
\(181\) 0.501923 + 0.869356i 0.0373076 + 0.0646187i 0.884076 0.467343i \(-0.154789\pi\)
−0.846769 + 0.531961i \(0.821455\pi\)
\(182\) 11.6830 + 5.57392i 0.866000 + 0.413166i
\(183\) −16.9342 5.69913i −1.25181 0.421292i
\(184\) 4.38278 1.59520i 0.323103 0.117600i
\(185\) −9.63860 8.08774i −0.708644 0.594623i
\(186\) −4.26550 + 7.82334i −0.312761 + 0.573635i
\(187\) 24.0351 + 8.74806i 1.75762 + 0.639721i
\(188\) 1.11513 0.0813294
\(189\) −2.07786 13.5898i −0.151142 0.988512i
\(190\) −1.58267 −0.114819
\(191\) 1.44470 + 0.525827i 0.104535 + 0.0380475i 0.393758 0.919214i \(-0.371175\pi\)
−0.289223 + 0.957262i \(0.593397\pi\)
\(192\) 1.73153 0.0423056i 0.124963 0.00305315i
\(193\) 13.8997 + 11.6632i 1.00052 + 0.839536i 0.987057 0.160373i \(-0.0512697\pi\)
0.0134641 + 0.999909i \(0.495714\pi\)
\(194\) −12.8225 + 4.66700i −0.920600 + 0.335071i
\(195\) −25.0505 + 22.0847i −1.79390 + 1.58152i
\(196\) −5.99946 3.60646i −0.428533 0.257604i
\(197\) −6.04304 10.4669i −0.430549 0.745732i 0.566372 0.824150i \(-0.308347\pi\)
−0.996921 + 0.0784176i \(0.975013\pi\)
\(198\) 9.46299 3.97772i 0.672505 0.282684i
\(199\) 0.954423 0.0676573 0.0338286 0.999428i \(-0.489230\pi\)
0.0338286 + 0.999428i \(0.489230\pi\)
\(200\) 9.89531 + 3.60160i 0.699704 + 0.254671i
\(201\) 2.87894 + 2.29826i 0.203065 + 0.162107i
\(202\) −0.226498 + 1.28454i −0.0159364 + 0.0903797i
\(203\) −2.90153 + 0.750079i −0.203647 + 0.0526452i
\(204\) −1.93618 + 12.8018i −0.135560 + 0.896306i
\(205\) 2.06401 + 11.7056i 0.144157 + 0.817554i
\(206\) 8.18333 0.570160
\(207\) 11.1451 + 8.45981i 0.774635 + 0.587997i
\(208\) −4.89257 −0.339239
\(209\) −1.29129 0.469992i −0.0893205 0.0325100i
\(210\) 14.6299 10.5879i 1.00956 0.730635i
\(211\) −12.1201 10.1700i −0.834383 0.700131i 0.121910 0.992541i \(-0.461098\pi\)
−0.956293 + 0.292411i \(0.905543\pi\)
\(212\) −1.89859 + 10.7674i −0.130396 + 0.739510i
\(213\) 5.94842 0.145335i 0.407579 0.00995816i
\(214\) −10.9599 + 9.19641i −0.749200 + 0.628654i
\(215\) 7.81070 13.5285i 0.532685 0.922638i
\(216\) 2.92058 + 4.29770i 0.198720 + 0.292421i
\(217\) −7.90516 + 11.0803i −0.536637 + 0.752180i
\(218\) −1.62405 9.21044i −0.109995 0.623810i
\(219\) −3.80785 + 0.0930351i −0.257310 + 0.00628673i
\(220\) 10.3296 + 8.66755i 0.696420 + 0.584366i
\(221\) 6.35081 36.0172i 0.427202 2.42278i
\(222\) 4.14818 3.65706i 0.278408 0.245446i
\(223\) −11.7347 4.27109i −0.785816 0.286014i −0.0822204 0.996614i \(-0.526201\pi\)
−0.703596 + 0.710601i \(0.748423\pi\)
\(224\) 2.63355 + 0.253845i 0.175961 + 0.0169608i
\(225\) 6.99853 + 30.8061i 0.466569 + 2.05374i
\(226\) −2.81208 4.87066i −0.187057 0.323992i
\(227\) −21.2608 7.73829i −1.41113 0.513608i −0.479667 0.877451i \(-0.659242\pi\)
−0.931461 + 0.363842i \(0.881465\pi\)
\(228\) 0.104022 0.687780i 0.00688902 0.0455494i
\(229\) −10.0990 8.47403i −0.667357 0.559979i 0.244925 0.969542i \(-0.421237\pi\)
−0.912282 + 0.409563i \(0.865681\pi\)
\(230\) −3.19172 + 18.1011i −0.210456 + 1.19355i
\(231\) 15.0806 4.29409i 0.992232 0.282531i
\(232\) 0.867719 0.728103i 0.0569686 0.0478023i
\(233\) 6.26126 + 10.8448i 0.410189 + 0.710468i 0.994910 0.100766i \(-0.0321294\pi\)
−0.584721 + 0.811234i \(0.698796\pi\)
\(234\) −7.95086 12.3377i −0.519764 0.806541i
\(235\) −2.19729 + 3.80582i −0.143335 + 0.248264i
\(236\) 2.63130 2.20792i 0.171283 0.143724i
\(237\) 5.56207 + 27.5858i 0.361295 + 1.79189i
\(238\) −5.28719 + 19.0577i −0.342718 + 1.23532i
\(239\) 21.3504 7.77092i 1.38104 0.502659i 0.458549 0.888669i \(-0.348369\pi\)
0.922495 + 0.386010i \(0.126147\pi\)
\(240\) −3.26748 + 5.99288i −0.210915 + 0.386839i
\(241\) −1.17639 + 0.987112i −0.0757782 + 0.0635855i −0.679890 0.733314i \(-0.737972\pi\)
0.604112 + 0.796900i \(0.293528\pi\)
\(242\) 0.353910 + 0.612991i 0.0227502 + 0.0394045i
\(243\) −6.09140 + 14.3490i −0.390763 + 0.920491i
\(244\) 10.3158 0.660402
\(245\) 24.1299 13.3692i 1.54160 0.854125i
\(246\) −5.22254 + 0.127600i −0.332977 + 0.00813545i
\(247\) −0.341199 + 1.93503i −0.0217100 + 0.123123i
\(248\) 0.893342 5.06639i 0.0567273 0.321716i
\(249\) −1.41078 + 1.24375i −0.0894044 + 0.0788195i
\(250\) −16.6955 + 14.0092i −1.05591 + 0.886018i
\(251\) −4.33773 7.51317i −0.273795 0.474227i 0.696035 0.718007i \(-0.254946\pi\)
−0.969830 + 0.243781i \(0.921612\pi\)
\(252\) 3.63962 + 7.05359i 0.229274 + 0.444335i
\(253\) −7.97943 + 13.8208i −0.501662 + 0.868905i
\(254\) 0.236481 + 1.34115i 0.0148382 + 0.0841514i
\(255\) −39.8760 31.8330i −2.49713 1.99346i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 8.65283 + 7.26059i 0.539749 + 0.452903i 0.871452 0.490481i \(-0.163179\pi\)
−0.331703 + 0.943384i \(0.607623\pi\)
\(258\) 5.36571 + 4.28346i 0.334055 + 0.266676i
\(259\) 6.96212 4.78391i 0.432605 0.297258i
\(260\) 9.64046 16.6978i 0.597876 1.03555i
\(261\) 3.24619 + 1.00491i 0.200934 + 0.0622027i
\(262\) −8.96840 + 15.5337i −0.554070 + 0.959677i
\(263\) −1.42830 8.10028i −0.0880726 0.499485i −0.996651 0.0817706i \(-0.973943\pi\)
0.908579 0.417714i \(-0.137169\pi\)
\(264\) −4.44556 + 3.91924i −0.273606 + 0.241212i
\(265\) −33.0070 27.6961i −2.02760 1.70136i
\(266\) 0.284056 1.02388i 0.0174166 0.0627779i
\(267\) −2.97887 4.88025i −0.182304 0.298666i
\(268\) −1.99857 0.727420i −0.122082 0.0444343i
\(269\) 13.8246 + 23.9449i 0.842901 + 1.45995i 0.887432 + 0.460939i \(0.152487\pi\)
−0.0445311 + 0.999008i \(0.514179\pi\)
\(270\) −20.4223 + 1.49929i −1.24286 + 0.0912439i
\(271\) 8.35025 14.4631i 0.507242 0.878568i −0.492723 0.870186i \(-0.663998\pi\)
0.999965 0.00838234i \(-0.00266821\pi\)
\(272\) −1.29805 7.36162i −0.0787060 0.446364i
\(273\) −9.79120 20.1696i −0.592590 1.22072i
\(274\) −11.5061 + 4.18787i −0.695107 + 0.252998i
\(275\) −33.8585 + 12.3235i −2.04174 + 0.743134i
\(276\) −7.65642 2.57673i −0.460862 0.155101i
\(277\) 4.46825 + 25.3407i 0.268471 + 1.52258i 0.758965 + 0.651132i \(0.225705\pi\)
−0.490494 + 0.871445i \(0.663183\pi\)
\(278\) −5.58161 −0.334763
\(279\) 14.2278 5.98058i 0.851796 0.358048i
\(280\) −6.05556 + 8.48780i −0.361889 + 0.507243i
\(281\) −1.53256 + 1.28597i −0.0914249 + 0.0767146i −0.687355 0.726322i \(-0.741228\pi\)
0.595930 + 0.803037i \(0.296784\pi\)
\(282\) −1.50947 1.20501i −0.0898878 0.0717575i
\(283\) −25.0437 + 9.11517i −1.48869 + 0.541841i −0.953106 0.302638i \(-0.902133\pi\)
−0.535589 + 0.844479i \(0.679910\pi\)
\(284\) −3.22817 + 1.17496i −0.191557 + 0.0697209i
\(285\) 2.14235 + 1.71024i 0.126902 + 0.101306i
\(286\) 12.8242 10.7607i 0.758308 0.636296i
\(287\) −7.94313 0.765632i −0.468868 0.0451938i
\(288\) −2.38956 1.81383i −0.140806 0.106881i
\(289\) 38.8784 2.28697
\(290\) 0.775151 + 4.39610i 0.0455184 + 0.258148i
\(291\) 22.4000 + 7.53861i 1.31311 + 0.441921i
\(292\) 2.06649 0.752143i 0.120932 0.0440158i
\(293\) 20.0174 7.28576i 1.16943 0.425638i 0.316974 0.948434i \(-0.397333\pi\)
0.852458 + 0.522796i \(0.175111\pi\)
\(294\) 4.22388 + 11.3648i 0.246341 + 0.662809i
\(295\) 2.35059 + 13.3309i 0.136857 + 0.776154i
\(296\) −1.59639 + 2.76503i −0.0927883 + 0.160714i
\(297\) −17.1077 4.84137i −0.992688 0.280925i
\(298\) −8.16099 14.1353i −0.472754 0.818833i
\(299\) 21.4430 + 7.80463i 1.24008 + 0.451353i
\(300\) −9.50265 15.5681i −0.548636 0.898824i
\(301\) 7.35015 + 7.48105i 0.423655 + 0.431200i
\(302\) −8.45268 7.09264i −0.486397 0.408135i
\(303\) 1.69467 1.49403i 0.0973560 0.0858296i
\(304\) 0.0697382 + 0.395505i 0.00399976 + 0.0226838i
\(305\) −20.3266 + 35.2067i −1.16390 + 2.01593i
\(306\) 16.4545 15.2366i 0.940642 0.871020i
\(307\) 6.56172 11.3652i 0.374497 0.648648i −0.615754 0.787938i \(-0.711149\pi\)
0.990252 + 0.139290i \(0.0444820\pi\)
\(308\) −7.46123 + 5.12687i −0.425143 + 0.292131i
\(309\) −11.0772 8.84291i −0.630158 0.503056i
\(310\) 15.5307 + 13.0318i 0.882087 + 0.740159i
\(311\) 22.1261 8.05326i 1.25466 0.456658i 0.372685 0.927958i \(-0.378437\pi\)
0.881973 + 0.471300i \(0.156215\pi\)
\(312\) 6.62270 + 5.28691i 0.374937 + 0.299312i
\(313\) 0.500193 + 2.83674i 0.0282726 + 0.160342i 0.995675 0.0929009i \(-0.0296140\pi\)
−0.967403 + 0.253243i \(0.918503\pi\)
\(314\) −6.75497 + 11.7000i −0.381205 + 0.660266i
\(315\) −31.2447 1.47701i −1.76044 0.0832201i
\(316\) −8.12359 14.0705i −0.456988 0.791526i
\(317\) −0.766578 + 0.643236i −0.0430553 + 0.0361277i −0.664061 0.747678i \(-0.731169\pi\)
0.621006 + 0.783806i \(0.286724\pi\)
\(318\) 14.2053 12.5235i 0.796592 0.702280i
\(319\) −0.673029 + 3.81693i −0.0376824 + 0.213707i
\(320\) 0.684323 3.88099i 0.0382548 0.216954i
\(321\) 24.7732 0.605270i 1.38270 0.0337829i
\(322\) −11.1373 5.31358i −0.620658 0.296114i
\(323\) −3.00208 −0.167040
\(324\) 0.690723 8.97346i 0.0383735 0.498525i
\(325\) 25.7603 + 44.6181i 1.42892 + 2.47497i
\(326\) −3.19018 + 2.67688i −0.176688 + 0.148259i
\(327\) −7.75446 + 14.2224i −0.428822 + 0.786503i
\(328\) 2.83424 1.03158i 0.156495 0.0569594i
\(329\) −2.06773 2.10455i −0.113998 0.116028i
\(330\) −4.61623 22.8948i −0.254115 1.26032i
\(331\) −5.66595 + 4.75430i −0.311429 + 0.261320i −0.785082 0.619392i \(-0.787379\pi\)
0.473654 + 0.880711i \(0.342935\pi\)
\(332\) 0.542925 0.940374i 0.0297969 0.0516097i
\(333\) −9.56691 + 0.467765i −0.524263 + 0.0256334i
\(334\) 7.87137 + 13.6336i 0.430702 + 0.745998i
\(335\) 6.42064 5.38756i 0.350797 0.294354i
\(336\) −3.29053 3.18942i −0.179513 0.173997i
\(337\) 0.107710 0.610855i 0.00586734 0.0332754i −0.981734 0.190261i \(-0.939067\pi\)
0.987601 + 0.156986i \(0.0501777\pi\)
\(338\) −8.37840 7.03031i −0.455725 0.382398i
\(339\) −1.45674 + 9.63179i −0.0791192 + 0.523127i
\(340\) 27.6821 + 10.0755i 1.50127 + 0.546418i
\(341\) 8.80147 + 15.2446i 0.476627 + 0.825541i
\(342\) −0.884023 + 0.818591i −0.0478025 + 0.0442643i
\(343\) 4.31811 + 18.0098i 0.233156 + 0.972439i
\(344\) −3.72490 1.35575i −0.200833 0.0730973i
\(345\) 23.8805 21.0532i 1.28568 1.13347i
\(346\) 4.15976 23.5912i 0.223630 1.26827i
\(347\) −4.03981 3.38980i −0.216868 0.181974i 0.527881 0.849318i \(-0.322987\pi\)
−0.744750 + 0.667344i \(0.767431\pi\)
\(348\) −1.96136 + 0.0479207i −0.105140 + 0.00256882i
\(349\) −4.38282 24.8562i −0.234607 1.33052i −0.843440 0.537224i \(-0.819473\pi\)
0.608833 0.793298i \(-0.291638\pi\)
\(350\) −11.5511 25.3533i −0.617435 1.35519i
\(351\) −2.56964 + 25.2923i −0.137157 + 1.35000i
\(352\) 1.71083 2.96325i 0.0911878 0.157942i
\(353\) −1.83786 + 1.54215i −0.0978196 + 0.0820804i −0.690386 0.723441i \(-0.742559\pi\)
0.592566 + 0.805522i \(0.298115\pi\)
\(354\) −5.94768 + 0.145316i −0.316115 + 0.00772348i
\(355\) 2.35089 13.3325i 0.124772 0.707618i
\(356\) 2.52874 + 2.12186i 0.134023 + 0.112459i
\(357\) 27.7506 20.0836i 1.46872 1.06294i
\(358\) 10.3398 + 3.76337i 0.546474 + 0.198900i
\(359\) −16.6016 −0.876201 −0.438101 0.898926i \(-0.644349\pi\)
−0.438101 + 0.898926i \(0.644349\pi\)
\(360\) 10.8989 4.58128i 0.574420 0.241455i
\(361\) −18.8387 −0.991511
\(362\) 0.174316 + 0.988595i 0.00916184 + 0.0519594i
\(363\) 0.183336 1.21220i 0.00962265 0.0636238i
\(364\) 9.07202 + 9.23358i 0.475503 + 0.483971i
\(365\) −1.50491 + 8.53475i −0.0787704 + 0.446729i
\(366\) −13.9638 11.1473i −0.729897 0.582677i
\(367\) −8.81224 3.20739i −0.459995 0.167425i 0.101620 0.994823i \(-0.467598\pi\)
−0.561615 + 0.827399i \(0.689820\pi\)
\(368\) 4.66406 0.243131
\(369\) 7.20725 + 5.47076i 0.375194 + 0.284796i
\(370\) −6.29115 10.8966i −0.327061 0.566487i
\(371\) 23.8415 16.3823i 1.23779 0.850527i
\(372\) −6.68400 + 5.89265i −0.346549 + 0.305520i
\(373\) 24.7784 9.01860i 1.28298 0.466966i 0.391561 0.920152i \(-0.371935\pi\)
0.891416 + 0.453186i \(0.149713\pi\)
\(374\) 19.5936 + 16.4410i 1.01316 + 0.850143i
\(375\) 37.7377 0.922026i 1.94877 0.0476132i
\(376\) 1.04788 + 0.381398i 0.0540404 + 0.0196691i
\(377\) 5.54194 0.285425
\(378\) 2.69544 13.4809i 0.138638 0.693383i
\(379\) 21.8385 1.12177 0.560883 0.827895i \(-0.310462\pi\)
0.560883 + 0.827895i \(0.310462\pi\)
\(380\) −1.48723 0.541306i −0.0762931 0.0277684i
\(381\) 1.12914 2.07096i 0.0578478 0.106099i
\(382\) 1.17773 + 0.988232i 0.0602579 + 0.0505624i
\(383\) 36.2901 13.2085i 1.85434 0.674923i 0.871513 0.490373i \(-0.163139\pi\)
0.982823 0.184550i \(-0.0590828\pi\)
\(384\) 1.64158 + 0.552465i 0.0837715 + 0.0281929i
\(385\) −2.79559 35.5664i −0.142476 1.81263i
\(386\) 9.07237 + 15.7138i 0.461771 + 0.799812i
\(387\) −2.63446 11.5964i −0.133917 0.589478i
\(388\) −13.6454 −0.692740
\(389\) 16.3454 + 5.94922i 0.828742 + 0.301638i 0.721343 0.692578i \(-0.243525\pi\)
0.107400 + 0.994216i \(0.465748\pi\)
\(390\) −31.0932 + 12.1850i −1.57446 + 0.617013i
\(391\) −6.05419 + 34.3350i −0.306174 + 1.73640i
\(392\) −4.40416 5.44090i −0.222444 0.274807i
\(393\) 28.9256 11.3356i 1.45910 0.571805i
\(394\) −2.09873 11.9025i −0.105732 0.599637i
\(395\) 64.0279 3.22159
\(396\) 10.2528 0.501299i 0.515221 0.0251912i
\(397\) −26.6310 −1.33657 −0.668285 0.743905i \(-0.732971\pi\)
−0.668285 + 0.743905i \(0.732971\pi\)
\(398\) 0.896864 + 0.326432i 0.0449558 + 0.0163626i
\(399\) −1.49091 + 1.07900i −0.0746387 + 0.0540173i
\(400\) 8.06673 + 6.76879i 0.403336 + 0.338440i
\(401\) 3.51981 19.9619i 0.175771 0.996848i −0.761479 0.648190i \(-0.775526\pi\)
0.937250 0.348658i \(-0.113363\pi\)
\(402\) 1.91927 + 3.14431i 0.0957243 + 0.156824i
\(403\) 19.2814 16.1790i 0.960474 0.805934i
\(404\) −0.652176 + 1.12960i −0.0324470 + 0.0561998i
\(405\) 29.2643 + 20.0389i 1.45416 + 0.995742i
\(406\) −2.98309 0.287538i −0.148048 0.0142702i
\(407\) −1.89704 10.7587i −0.0940329 0.533287i
\(408\) −6.19790 + 11.3676i −0.306842 + 0.562778i
\(409\) −0.475135 0.398686i −0.0234939 0.0197137i 0.630965 0.775811i \(-0.282659\pi\)
−0.654459 + 0.756098i \(0.727104\pi\)
\(410\) −2.06401 + 11.7056i −0.101934 + 0.578098i
\(411\) 20.1003 + 6.76466i 0.991475 + 0.333676i
\(412\) 7.68981 + 2.79886i 0.378850 + 0.137890i
\(413\) −9.04601 0.871938i −0.445125 0.0429053i
\(414\) 7.57951 + 11.7615i 0.372512 + 0.578044i
\(415\) 2.13959 + 3.70588i 0.105028 + 0.181914i
\(416\) −4.59751 1.67336i −0.225411 0.0820431i
\(417\) 7.55541 + 6.03149i 0.369990 + 0.295363i
\(418\) −1.05267 0.883295i −0.0514878 0.0432034i
\(419\) 1.34242 7.61322i 0.0655813 0.371930i −0.934300 0.356489i \(-0.883974\pi\)
0.999881 0.0154409i \(-0.00491518\pi\)
\(420\) 17.3689 4.94566i 0.847515 0.241324i
\(421\) −0.346722 + 0.290934i −0.0168982 + 0.0141793i −0.651198 0.758908i \(-0.725733\pi\)
0.634299 + 0.773087i \(0.281289\pi\)
\(422\) −7.91084 13.7020i −0.385094 0.667002i
\(423\) 0.741122 + 3.26227i 0.0360346 + 0.158617i
\(424\) −5.46677 + 9.46872i −0.265490 + 0.459842i
\(425\) −60.3003 + 50.5980i −2.92499 + 2.45436i
\(426\) 5.63939 + 1.89791i 0.273230 + 0.0919540i
\(427\) −19.1280 19.4687i −0.925671 0.942156i
\(428\) −13.4443 + 4.89331i −0.649853 + 0.236527i
\(429\) −28.9872 + 0.708228i −1.39951 + 0.0341936i
\(430\) 11.9667 10.0412i 0.577085 0.484232i
\(431\) −18.4614 31.9760i −0.889253 1.54023i −0.840760 0.541408i \(-0.817891\pi\)
−0.0484934 0.998824i \(-0.515442\pi\)
\(432\) 1.27455 + 5.03741i 0.0613217 + 0.242363i
\(433\) −36.6719 −1.76234 −0.881169 0.472801i \(-0.843243\pi\)
−0.881169 + 0.472801i \(0.843243\pi\)
\(434\) −11.2181 + 7.70836i −0.538487 + 0.370013i
\(435\) 3.70116 6.78830i 0.177457 0.325474i
\(436\) 1.62405 9.21044i 0.0777779 0.441100i
\(437\) 0.325263 1.84466i 0.0155594 0.0882419i
\(438\) −3.61003 1.21494i −0.172494 0.0580519i
\(439\) 16.9717 14.2409i 0.810015 0.679683i −0.140596 0.990067i \(-0.544902\pi\)
0.950611 + 0.310384i \(0.100458\pi\)
\(440\) 6.74216 + 11.6778i 0.321420 + 0.556715i
\(441\) 6.56327 19.9480i 0.312537 0.949906i
\(442\) 18.2864 31.6730i 0.869797 1.50653i
\(443\) −4.65340 26.3907i −0.221090 1.25386i −0.870021 0.493015i \(-0.835895\pi\)
0.648931 0.760847i \(-0.275216\pi\)
\(444\) 5.14881 2.01775i 0.244352 0.0957583i
\(445\) −12.2244 + 4.44931i −0.579491 + 0.210917i
\(446\) −9.56624 8.02703i −0.452975 0.380091i
\(447\) −4.22764 + 27.9526i −0.199960 + 1.32211i
\(448\) 2.38790 + 1.13926i 0.112818 + 0.0538251i
\(449\) −4.09017 + 7.08439i −0.193027 + 0.334333i −0.946252 0.323430i \(-0.895164\pi\)
0.753225 + 0.657763i \(0.228497\pi\)
\(450\) −3.95986 + 31.3419i −0.186669 + 1.47747i
\(451\) −5.16011 + 8.93757i −0.242980 + 0.420854i
\(452\) −0.976624 5.53871i −0.0459366 0.260519i
\(453\) 3.77745 + 18.7347i 0.177480 + 0.880235i
\(454\) −17.3319 14.5432i −0.813428 0.682548i
\(455\) −49.3889 + 12.7676i −2.31539 + 0.598555i
\(456\) 0.332983 0.610725i 0.0155934 0.0285998i
\(457\) 1.74311 + 0.634441i 0.0815394 + 0.0296779i 0.382468 0.923969i \(-0.375074\pi\)
−0.300928 + 0.953647i \(0.597297\pi\)
\(458\) −6.59162 11.4170i −0.308006 0.533482i
\(459\) −38.7380 + 2.84392i −1.80813 + 0.132743i
\(460\) −9.19019 + 15.9179i −0.428495 + 0.742175i
\(461\) 5.89233 + 33.4171i 0.274433 + 1.55639i 0.740757 + 0.671774i \(0.234467\pi\)
−0.466323 + 0.884614i \(0.654422\pi\)
\(462\) 15.6398 + 1.12275i 0.727630 + 0.0522349i
\(463\) 1.39988 0.509514i 0.0650578 0.0236791i −0.309286 0.950969i \(-0.600090\pi\)
0.374344 + 0.927290i \(0.377868\pi\)
\(464\) 1.06442 0.387415i 0.0494142 0.0179853i
\(465\) −6.94060 34.4228i −0.321862 1.59632i
\(466\) 2.17451 + 12.3323i 0.100732 + 0.571282i
\(467\) −23.9827 −1.10979 −0.554894 0.831921i \(-0.687241\pi\)
−0.554894 + 0.831921i \(0.687241\pi\)
\(468\) −3.25162 14.3130i −0.150306 0.661619i
\(469\) 2.33300 + 5.12065i 0.107728 + 0.236450i
\(470\) −3.36644 + 2.82478i −0.155283 + 0.130297i
\(471\) 21.7867 8.53793i 1.00388 0.393407i
\(472\) 3.22777 1.17481i 0.148570 0.0540751i
\(473\) 12.7454 4.63894i 0.586033 0.213299i
\(474\) −4.20826 + 27.8245i −0.193292 + 1.27802i
\(475\) 3.23965 2.71839i 0.148645 0.124728i
\(476\) −11.4864 + 16.1000i −0.526480 + 0.737943i
\(477\) −32.7615 + 1.60184i −1.50004 + 0.0733433i
\(478\) 22.7206 1.03922
\(479\) 2.17803 + 12.3522i 0.0995168 + 0.564388i 0.993269 + 0.115827i \(0.0369520\pi\)
−0.893753 + 0.448560i \(0.851937\pi\)
\(480\) −5.12012 + 4.51393i −0.233700 + 0.206032i
\(481\) −14.6788 + 5.34266i −0.669297 + 0.243604i
\(482\) −1.44306 + 0.525231i −0.0657296 + 0.0239236i
\(483\) 9.33389 + 19.2276i 0.424707 + 0.874886i
\(484\) 0.122912 + 0.697067i 0.00558690 + 0.0316849i
\(485\) 26.8873 46.5701i 1.22089 2.11464i
\(486\) −10.6317 + 11.4003i −0.482264 + 0.517128i
\(487\) −8.44716 14.6309i −0.382777 0.662990i 0.608681 0.793415i \(-0.291699\pi\)
−0.991458 + 0.130425i \(0.958366\pi\)
\(488\) 9.69369 + 3.52822i 0.438813 + 0.159715i
\(489\) 7.21095 0.176181i 0.326090 0.00796719i
\(490\) 27.2472 4.30999i 1.23090 0.194706i
\(491\) −1.49431 1.25388i −0.0674373 0.0565866i 0.608446 0.793595i \(-0.291793\pi\)
−0.675883 + 0.737009i \(0.736238\pi\)
\(492\) −4.95123 1.66631i −0.223219 0.0751231i
\(493\) 1.47034 + 8.33871i 0.0662207 + 0.375556i
\(494\) −0.982443 + 1.70164i −0.0442022 + 0.0765604i
\(495\) −18.4915 + 35.9793i −0.831129 + 1.61715i
\(496\) 2.57227 4.45531i 0.115499 0.200049i
\(497\) 8.20328 + 3.91376i 0.367967 + 0.175556i
\(498\) −1.75109 + 0.686229i −0.0784680 + 0.0307506i
\(499\) −3.07558 2.58071i −0.137682 0.115529i 0.571346 0.820709i \(-0.306421\pi\)
−0.709028 + 0.705181i \(0.750866\pi\)
\(500\) −20.4800 + 7.45412i −0.915895 + 0.333359i
\(501\) 4.07760 26.9606i 0.182174 1.20451i
\(502\) −1.50648 8.54366i −0.0672374 0.381322i
\(503\) 11.6682 20.2098i 0.520257 0.901112i −0.479465 0.877561i \(-0.659169\pi\)
0.999723 0.0235513i \(-0.00749732\pi\)
\(504\) 1.00765 + 7.87303i 0.0448844 + 0.350693i
\(505\) −2.57013 4.45160i −0.114369 0.198094i
\(506\) −12.2252 + 10.2582i −0.543476 + 0.456031i
\(507\) 3.74425 + 18.5701i 0.166288 + 0.824727i
\(508\) −0.236481 + 1.34115i −0.0104922 + 0.0595040i
\(509\) 1.79317 10.1696i 0.0794808 0.450758i −0.918931 0.394419i \(-0.870946\pi\)
0.998412 0.0563393i \(-0.0179429\pi\)
\(510\) −26.5836 43.5517i −1.17714 1.92850i
\(511\) −5.25128 2.50537i −0.232303 0.110831i
\(512\) −1.00000 −0.0441942
\(513\) 2.08121 0.152790i 0.0918875 0.00674585i
\(514\) 5.64773 + 9.78216i 0.249111 + 0.431473i
\(515\) −24.7044 + 20.7295i −1.08861 + 0.913450i
\(516\) 3.57709 + 5.86031i 0.157473 + 0.257986i
\(517\) −3.58551 + 1.30502i −0.157690 + 0.0573946i
\(518\) 8.17844 2.11422i 0.359340 0.0928937i
\(519\) −31.1234 + 27.4386i −1.36617 + 1.20442i
\(520\) 14.7700 12.3935i 0.647709 0.543492i
\(521\) −3.91764 + 6.78555i −0.171635 + 0.297280i −0.938992 0.343940i \(-0.888238\pi\)
0.767357 + 0.641220i \(0.221572\pi\)
\(522\) 2.70672 + 2.05458i 0.118470 + 0.0899263i
\(523\) −0.560714 0.971185i −0.0245183 0.0424670i 0.853506 0.521083i \(-0.174472\pi\)
−0.878024 + 0.478616i \(0.841139\pi\)
\(524\) −13.7404 + 11.5296i −0.600252 + 0.503671i
\(525\) −11.7609 + 46.8011i −0.513288 + 2.04257i
\(526\) 1.42830 8.10028i 0.0622767 0.353189i
\(527\) 29.4594 + 24.7193i 1.28327 + 1.07679i
\(528\) −5.51792 + 2.16241i −0.240137 + 0.0941066i
\(529\) 1.17140 + 0.426356i 0.0509306 + 0.0185372i
\(530\) −21.5438 37.3149i −0.935801 1.62086i
\(531\) 8.20796 + 6.23036i 0.356195 + 0.270375i
\(532\) 0.617112 0.864977i 0.0267552 0.0375015i
\(533\) 13.8667 + 5.04707i 0.600634 + 0.218613i
\(534\) −1.13008 5.60476i −0.0489032 0.242542i
\(535\) 9.79066 55.5256i 0.423287 2.40058i
\(536\) −1.62925 1.36710i −0.0703729 0.0590498i
\(537\) −9.92949 16.2674i −0.428489 0.701989i
\(538\) 4.80123 + 27.2291i 0.206996 + 1.17393i
\(539\) 23.5107 + 4.57486i 1.01268 + 0.197053i
\(540\) −19.7035 5.57598i −0.847904 0.239952i
\(541\) −9.55597 + 16.5514i −0.410843 + 0.711602i −0.994982 0.100052i \(-0.968099\pi\)
0.584139 + 0.811654i \(0.301432\pi\)
\(542\) 12.7933 10.7349i 0.549521 0.461103i
\(543\) 0.832318 1.52655i 0.0357182 0.0655107i
\(544\) 1.29805 7.36162i 0.0556535 0.315627i
\(545\) 28.2341 + 23.6912i 1.20942 + 1.01482i
\(546\) −2.30230 22.3020i −0.0985292 0.954439i
\(547\) 8.34510 + 3.03737i 0.356811 + 0.129868i 0.514205 0.857667i \(-0.328087\pi\)
−0.157394 + 0.987536i \(0.550309\pi\)
\(548\) −12.2445 −0.523059
\(549\) 6.85594 + 30.1785i 0.292604 + 1.28799i
\(550\) −36.0314 −1.53639
\(551\) −0.0789943 0.447999i −0.00336527 0.0190854i
\(552\) −6.31339 5.03998i −0.268716 0.214516i
\(553\) −11.4916 + 41.4215i −0.488673 + 1.76142i
\(554\) −4.46825 + 25.3407i −0.189838 + 1.07662i
\(555\) −3.25900 + 21.5481i −0.138337 + 0.914667i
\(556\) −5.24500 1.90902i −0.222437 0.0809606i
\(557\) −27.6007 −1.16948 −0.584739 0.811222i \(-0.698803\pi\)
−0.584739 + 0.811222i \(0.698803\pi\)
\(558\) 15.4152 0.753714i 0.652579 0.0319073i
\(559\) −9.69697 16.7956i −0.410138 0.710380i
\(560\) −8.59336 + 5.90480i −0.363136 + 0.249523i
\(561\) −8.75626 43.4278i −0.369689 1.83352i
\(562\) −1.87996 + 0.684251i −0.0793015 + 0.0288634i
\(563\) 15.4294 + 12.9468i 0.650273 + 0.545643i 0.907154 0.420800i \(-0.138250\pi\)
−0.256881 + 0.966443i \(0.582695\pi\)
\(564\) −1.00630 1.64861i −0.0423729 0.0694191i
\(565\) 20.8274 + 7.58054i 0.876213 + 0.318916i
\(566\) −26.6510 −1.12022
\(567\) −18.2161 + 15.3354i −0.765003 + 0.644026i
\(568\) −3.43535 −0.144144
\(569\) −32.8736 11.9650i −1.37813 0.501599i −0.456521 0.889713i \(-0.650905\pi\)
−0.921612 + 0.388113i \(0.873127\pi\)
\(570\) 1.42821 + 2.33982i 0.0598212 + 0.0980044i
\(571\) 20.7076 + 17.3757i 0.866586 + 0.727152i 0.963376 0.268153i \(-0.0864133\pi\)
−0.0967906 + 0.995305i \(0.530858\pi\)
\(572\) 15.7312 5.72567i 0.657753 0.239402i
\(573\) −0.526320 2.61035i −0.0219873 0.109049i
\(574\) −7.20224 3.43617i −0.300616 0.143423i
\(575\) −24.5571 42.5342i −1.02410 1.77380i
\(576\) −1.62509 2.52172i −0.0677121 0.105072i
\(577\) −13.2951 −0.553483 −0.276741 0.960944i \(-0.589255\pi\)
−0.276741 + 0.960944i \(0.589255\pi\)
\(578\) 36.5338 + 13.2972i 1.51960 + 0.553091i
\(579\) 4.69976 31.0742i 0.195315 1.29140i
\(580\) −0.775151 + 4.39610i −0.0321864 + 0.182538i
\(581\) −2.78145 + 0.719038i −0.115394 + 0.0298307i
\(582\) 18.4708 + 14.7452i 0.765637 + 0.611209i
\(583\) −6.49634 36.8426i −0.269051 1.52586i
\(584\) 2.19912 0.0910001
\(585\) 55.2557 + 17.1053i 2.28454 + 0.707219i
\(586\) 21.3021 0.879983
\(587\) −32.7194 11.9089i −1.35047 0.491533i −0.437379 0.899277i \(-0.644093\pi\)
−0.913096 + 0.407745i \(0.866315\pi\)
\(588\) 0.0821516 + 12.1241i 0.00338788 + 0.499989i
\(589\) −1.58271 1.32805i −0.0652145 0.0547214i
\(590\) −2.35059 + 13.3309i −0.0967724 + 0.548823i
\(591\) −10.0209 + 18.3794i −0.412206 + 0.756026i
\(592\) −2.44581 + 2.05228i −0.100522 + 0.0843482i
\(593\) −0.406959 + 0.704873i −0.0167118 + 0.0289457i −0.874260 0.485457i \(-0.838653\pi\)
0.857549 + 0.514403i \(0.171986\pi\)
\(594\) −14.4201 10.4006i −0.591664 0.426740i
\(595\) −32.3143 70.9258i −1.32476 2.90768i
\(596\) −2.83428 16.0740i −0.116097 0.658418i
\(597\) −0.861276 1.41102i −0.0352497 0.0577492i
\(598\) 17.4805 + 14.6679i 0.714832 + 0.599815i
\(599\) −1.32762 + 7.52930i −0.0542451 + 0.307639i −0.999843 0.0176974i \(-0.994366\pi\)
0.945598 + 0.325336i \(0.105478\pi\)
\(600\) −3.60497 17.8793i −0.147172 0.729920i
\(601\) 30.4980 + 11.1004i 1.24404 + 0.452793i 0.878383 0.477957i \(-0.158622\pi\)
0.365656 + 0.930750i \(0.380845\pi\)
\(602\) 4.34821 + 9.54378i 0.177220 + 0.388976i
\(603\) 0.799778 6.33018i 0.0325695 0.257785i
\(604\) −5.51709 9.55589i −0.224487 0.388823i
\(605\) −2.62120 0.954038i −0.106567 0.0387872i
\(606\) 2.10345 0.824317i 0.0854469 0.0334856i
\(607\) 33.8652 + 28.4163i 1.37455 + 1.15338i 0.971181 + 0.238344i \(0.0766045\pi\)
0.403367 + 0.915038i \(0.367840\pi\)
\(608\) −0.0697382 + 0.395505i −0.00282826 + 0.0160398i
\(609\) 3.72727 + 3.61275i 0.151037 + 0.146396i
\(610\) −31.1421 + 26.1314i −1.26091 + 1.05803i
\(611\) 2.72793 + 4.72492i 0.110360 + 0.191150i
\(612\) 20.6734 8.68996i 0.835673 0.351271i
\(613\) 16.3949 28.3967i 0.662182 1.14693i −0.317859 0.948138i \(-0.602964\pi\)
0.980041 0.198795i \(-0.0637028\pi\)
\(614\) 10.0531 8.43559i 0.405712 0.340433i
\(615\) 15.4430 13.6146i 0.622720 0.548994i
\(616\) −8.76476 + 2.26579i −0.353142 + 0.0912914i
\(617\) −6.94319 + 2.52711i −0.279522 + 0.101738i −0.477977 0.878372i \(-0.658630\pi\)
0.198455 + 0.980110i \(0.436408\pi\)
\(618\) −7.38468 12.0982i −0.297055 0.486662i
\(619\) −35.4916 + 29.7810i −1.42653 + 1.19700i −0.478800 + 0.877924i \(0.658928\pi\)
−0.947729 + 0.319076i \(0.896627\pi\)
\(620\) 10.1370 + 17.5578i 0.407111 + 0.705136i
\(621\) 2.44962 24.1110i 0.0982999 0.967542i
\(622\) 23.5461 0.944114
\(623\) −0.684375 8.70686i −0.0274189 0.348833i
\(624\) 4.41508 + 7.23317i 0.176745 + 0.289559i
\(625\) 5.77151 32.7319i 0.230860 1.30927i
\(626\) −0.500193 + 2.83674i −0.0199917 + 0.113379i
\(627\) 0.470432 + 2.33317i 0.0187872 + 0.0931777i
\(628\) −10.3492 + 8.68402i −0.412979 + 0.346530i
\(629\) −11.9333 20.6691i −0.475812 0.824131i
\(630\) −28.8553 12.0743i −1.14962 0.481050i
\(631\) −4.12433 + 7.14355i −0.164187 + 0.284380i −0.936366 0.351025i \(-0.885833\pi\)
0.772179 + 0.635405i \(0.219167\pi\)
\(632\) −2.82129 16.0004i −0.112225 0.636460i
\(633\) −4.09805 + 27.0958i −0.162883 + 1.07696i
\(634\) −0.940348 + 0.342259i −0.0373460 + 0.0135928i
\(635\) −4.11123 3.44973i −0.163149 0.136898i
\(636\) 17.6319 6.90971i 0.699149 0.273988i
\(637\) 0.604507 34.2426i 0.0239514 1.35674i
\(638\) −1.93791 + 3.35656i −0.0767225 + 0.132887i
\(639\) −5.58275 8.66299i −0.220850 0.342703i
\(640\) 1.97043 3.41288i 0.0778881 0.134906i
\(641\) −3.71840 21.0881i −0.146868 0.832930i −0.965848 0.259108i \(-0.916571\pi\)
0.818980 0.573822i \(-0.194540\pi\)
\(642\) 23.4862 + 7.90416i 0.926926 + 0.311952i
\(643\) 16.9584 + 14.2298i 0.668775 + 0.561169i 0.912703 0.408625i \(-0.133991\pi\)
−0.243928 + 0.969793i \(0.578436\pi\)
\(644\) −8.64830 8.80232i −0.340791 0.346860i
\(645\) −27.0490 + 0.660873i −1.06505 + 0.0260218i
\(646\) −2.82103 1.02677i −0.110992 0.0403978i
\(647\) 9.06473 + 15.7006i 0.356371 + 0.617253i 0.987352 0.158546i \(-0.0506805\pi\)
−0.630980 + 0.775799i \(0.717347\pi\)
\(648\) 3.71817 8.19605i 0.146064 0.321971i
\(649\) −5.87658 + 10.1785i −0.230676 + 0.399542i
\(650\) 8.94645 + 50.7378i 0.350909 + 1.99010i
\(651\) 23.5148 + 1.68807i 0.921617 + 0.0661607i
\(652\) −3.91334 + 1.42434i −0.153258 + 0.0557814i
\(653\) −32.3114 + 11.7604i −1.26444 + 0.460219i −0.885257 0.465102i \(-0.846018\pi\)
−0.379185 + 0.925321i \(0.623796\pi\)
\(654\) −12.1512 + 10.7125i −0.475148 + 0.418894i
\(655\) −12.2746 69.6125i −0.479607 2.71999i
\(656\) 3.01614 0.117760
\(657\) 3.57376 + 5.54556i 0.139426 + 0.216353i
\(658\) −1.22323 2.68484i −0.0476865 0.104666i
\(659\) −23.6717 + 19.8629i −0.922120 + 0.773751i −0.974386 0.224883i \(-0.927800\pi\)
0.0522658 + 0.998633i \(0.483356\pi\)
\(660\) 3.49264 23.0929i 0.135951 0.898890i
\(661\) 6.41894 2.33630i 0.249668 0.0908716i −0.214155 0.976800i \(-0.568700\pi\)
0.463823 + 0.885928i \(0.346477\pi\)
\(662\) −6.95032 + 2.52971i −0.270132 + 0.0983199i
\(663\) −58.9789 + 23.1131i −2.29055 + 0.897638i
\(664\) 0.831809 0.697971i 0.0322805 0.0270865i
\(665\) 1.73609 + 3.81051i 0.0673227 + 0.147765i
\(666\) −9.14994 2.83252i −0.354553 0.109758i
\(667\) −5.28310 −0.204563
\(668\) 2.73370 + 15.5036i 0.105770 + 0.599851i
\(669\) 4.27510 + 21.2029i 0.165285 + 0.819751i
\(670\) 7.87608 2.86666i 0.304280 0.110749i
\(671\) −33.1686 + 12.0724i −1.28046 + 0.466049i
\(672\) −2.00124 4.12250i −0.0771995 0.159029i
\(673\) 5.04760 + 28.6264i 0.194571 + 1.10347i 0.913029 + 0.407895i \(0.133737\pi\)
−0.718458 + 0.695570i \(0.755152\pi\)
\(674\) 0.310139 0.537176i 0.0119461 0.0206913i
\(675\) 39.2283 38.1462i 1.50990 1.46825i
\(676\) −5.46861 9.47191i −0.210331 0.364304i
\(677\) −31.8021 11.5750i −1.22225 0.444864i −0.351315 0.936257i \(-0.614265\pi\)
−0.870938 + 0.491393i \(0.836488\pi\)
\(678\) −4.66315 + 8.55268i −0.179087 + 0.328464i
\(679\) 25.3019 + 25.7525i 0.970998 + 0.988291i
\(680\) 22.5666 + 18.9357i 0.865391 + 0.726149i
\(681\) 7.74554 + 38.4150i 0.296810 + 1.47207i
\(682\) 3.05672 + 17.3355i 0.117048 + 0.663811i
\(683\) −3.77078 + 6.53117i −0.144285 + 0.249908i −0.929106 0.369814i \(-0.879421\pi\)
0.784821 + 0.619722i \(0.212755\pi\)
\(684\) −1.11068 + 0.466870i −0.0424681 + 0.0178512i
\(685\) 24.1269 41.7890i 0.921842 1.59668i
\(686\) −2.10203 + 18.4006i −0.0802559 + 0.702538i
\(687\) −3.41466 + 22.5773i −0.130277 + 0.861377i
\(688\) −3.03657 2.54798i −0.115768 0.0971409i
\(689\) −50.2670 + 18.2957i −1.91502 + 0.697011i
\(690\) 29.6410 11.6159i 1.12841 0.442211i
\(691\) −2.81871 15.9857i −0.107229 0.608124i −0.990307 0.138898i \(-0.955644\pi\)
0.883078 0.469226i \(-0.155467\pi\)
\(692\) 11.9776 20.7457i 0.455318 0.788634i
\(693\) −19.9572 18.4202i −0.758112 0.699724i
\(694\) −2.63680 4.56707i −0.100091 0.173363i
\(695\) 16.8502 14.1390i 0.639163 0.536322i
\(696\) −1.85946 0.625792i −0.0704827 0.0237206i
\(697\) −3.91510 + 22.2037i −0.148295 + 0.841023i
\(698\) 4.38282 24.8562i 0.165892 0.940821i
\(699\) 10.3828 19.0431i 0.392713 0.720275i
\(700\) −2.18317 27.7751i −0.0825161 1.04980i
\(701\) −22.5406 −0.851348 −0.425674 0.904877i \(-0.639963\pi\)
−0.425674 + 0.904877i \(0.639963\pi\)
\(702\) −11.0652 + 22.8881i −0.417627 + 0.863857i
\(703\) 0.641120 + 1.11045i 0.0241803 + 0.0418815i
\(704\) 2.62115 2.19941i 0.0987883 0.0828933i
\(705\) 7.60937 0.185916i 0.286585 0.00700198i
\(706\) −2.25447 + 0.820562i −0.0848483 + 0.0308822i
\(707\) 3.34116 0.863728i 0.125657 0.0324838i
\(708\) −5.63869 1.89767i −0.211915 0.0713189i
\(709\) 16.6662 13.9846i 0.625911 0.525202i −0.273744 0.961802i \(-0.588262\pi\)
0.899655 + 0.436601i \(0.143818\pi\)
\(710\) 6.76911 11.7244i 0.254040 0.440010i
\(711\) 35.7636 33.1165i 1.34124 1.24197i
\(712\) 1.65052 + 2.85878i 0.0618557 + 0.107137i
\(713\) −18.3808 + 15.4233i −0.688367 + 0.577609i
\(714\) 32.9460 9.38114i 1.23297 0.351080i
\(715\) −11.4561 + 64.9707i −0.428433 + 2.42976i
\(716\) 8.42906 + 7.07282i 0.315009 + 0.264324i
\(717\) −30.7552 24.5519i −1.14858 0.916909i
\(718\) −15.6004 5.67810i −0.582203 0.211905i
\(719\) −5.30431 9.18734i −0.197817 0.342630i 0.750003 0.661434i \(-0.230052\pi\)
−0.947820 + 0.318805i \(0.896719\pi\)
\(720\) 11.8085 0.577364i 0.440076 0.0215171i
\(721\) −8.97659 19.7025i −0.334306 0.733760i
\(722\) −17.7026 6.44322i −0.658823 0.239792i
\(723\) 2.52093 + 0.848406i 0.0937544 + 0.0315526i
\(724\) −0.174316 + 0.988595i −0.00647840 + 0.0367408i
\(725\) −9.13740 7.66719i −0.339355 0.284752i
\(726\) 0.586875 1.07639i 0.0217810 0.0399484i
\(727\) −2.40713 13.6515i −0.0892755 0.506306i −0.996352 0.0853404i \(-0.972802\pi\)
0.907076 0.420966i \(-0.138309\pi\)
\(728\) 5.36683 + 11.7795i 0.198908 + 0.436579i
\(729\) 26.7105 3.94312i 0.989278 0.146041i
\(730\) −4.33321 + 7.50533i −0.160379 + 0.277785i
\(731\) 22.6989 19.0466i 0.839550 0.704466i
\(732\) −9.30904 15.2509i −0.344072 0.563689i
\(733\) −3.36988 + 19.1115i −0.124469 + 0.705901i 0.857152 + 0.515063i \(0.172232\pi\)
−0.981622 + 0.190838i \(0.938880\pi\)
\(734\) −7.18380 6.02793i −0.265159 0.222495i
\(735\) −41.5399 23.6093i −1.53222 0.870841i
\(736\) 4.38278 + 1.59520i 0.161551 + 0.0587999i
\(737\) 7.27732 0.268064
\(738\) 4.90149 + 7.60586i 0.180426 + 0.279976i
\(739\) 39.3044 1.44584 0.722918 0.690934i \(-0.242801\pi\)
0.722918 + 0.690934i \(0.242801\pi\)
\(740\) −2.18489 12.3911i −0.0803182 0.455507i
\(741\) 3.16865 1.24176i 0.116403 0.0456170i
\(742\) 28.0067 7.24007i 1.02816 0.265791i
\(743\) −1.64288 + 9.31724i −0.0602715 + 0.341816i −1.00000 0.000104995i \(-0.999967\pi\)
0.939729 + 0.341921i \(0.111078\pi\)
\(744\) −8.29631 + 3.25122i −0.304157 + 0.119196i
\(745\) 60.4435 + 21.9996i 2.21448 + 0.806005i
\(746\) 26.3686 0.965424
\(747\) 3.11185 + 0.963327i 0.113857 + 0.0352463i
\(748\) 12.7888 + 22.1509i 0.467605 + 0.809916i
\(749\) 34.1639 + 16.2995i 1.24832 + 0.595571i
\(750\) 35.7772 + 12.0406i 1.30640 + 0.439662i
\(751\) 8.38650 3.05244i 0.306028 0.111385i −0.184441 0.982843i \(-0.559048\pi\)
0.490469 + 0.871459i \(0.336825\pi\)
\(752\) 0.854241 + 0.716794i 0.0311510 + 0.0261388i
\(753\) −7.19308 + 13.1928i −0.262130 + 0.480773i
\(754\) 5.20772 + 1.89546i 0.189654 + 0.0690284i
\(755\) 43.4842 1.58255
\(756\) 7.14362 11.7460i 0.259811 0.427198i
\(757\) −46.7158 −1.69791 −0.848957 0.528462i \(-0.822769\pi\)
−0.848957 + 0.528462i \(0.822769\pi\)
\(758\) 20.5214 + 7.46919i 0.745372 + 0.271293i
\(759\) 27.6333 0.675149i 1.00303 0.0245064i
\(760\) −1.21240 1.01732i −0.0439783 0.0369022i
\(761\) −4.28236 + 1.55865i −0.155235 + 0.0565010i −0.418469 0.908231i \(-0.637433\pi\)
0.263234 + 0.964732i \(0.415211\pi\)
\(762\) 1.76936 1.55988i 0.0640971 0.0565084i
\(763\) −20.3940 + 14.0134i −0.738311 + 0.507319i
\(764\) 0.768708 + 1.33144i 0.0278109 + 0.0481699i
\(765\) −11.0777 + 87.6789i −0.400514 + 3.17004i
\(766\) 38.6191 1.39536
\(767\) 15.7921 + 5.74784i 0.570219 + 0.207543i
\(768\) 1.35363 + 1.08060i 0.0488448 + 0.0389928i
\(769\) 4.65375 26.3927i 0.167818 0.951745i −0.778292 0.627902i \(-0.783914\pi\)
0.946111 0.323843i \(-0.104975\pi\)
\(770\) 9.53745 34.3777i 0.343706 1.23889i
\(771\) 2.92569 19.3443i 0.105366 0.696669i
\(772\) 3.15080 + 17.8691i 0.113400 + 0.643122i
\(773\) −7.09931 −0.255345 −0.127672 0.991816i \(-0.540751\pi\)
−0.127672 + 0.991816i \(0.540751\pi\)
\(774\) 1.49061 11.7981i 0.0535790 0.424073i
\(775\) −54.1740 −1.94599
\(776\) −12.8225 4.66700i −0.460300 0.167536i
\(777\) −13.3552 5.97577i −0.479115 0.214379i
\(778\) 13.3249 + 11.1809i 0.477719 + 0.400854i
\(779\) 0.210340 1.19290i 0.00753621 0.0427399i
\(780\) −33.3856 + 0.815691i −1.19540 + 0.0292064i
\(781\) 9.00456 7.55573i 0.322209 0.270365i
\(782\) −17.4323 + 30.1937i −0.623379 + 1.07972i
\(783\) −1.44372 5.70601i −0.0515942 0.203916i
\(784\) −2.27766 6.61908i −0.0813451 0.236396i
\(785\) −9.24516 52.4319i −0.329974 1.87138i
\(786\) 31.0582 0.758828i 1.10781 0.0270665i
\(787\) −17.8834 15.0059i −0.637473 0.534904i 0.265768 0.964037i \(-0.414375\pi\)
−0.903241 + 0.429133i \(0.858819\pi\)
\(788\) 2.09873 11.9025i 0.0747640 0.424008i
\(789\) −10.6865 + 9.42133i −0.380451 + 0.335408i
\(790\) 60.1665 + 21.8988i 2.14063 + 0.779125i
\(791\) −8.64213 + 12.1133i −0.307279 + 0.430699i
\(792\) 9.80590 + 3.03558i 0.348437 + 0.107865i
\(793\) 25.2354 + 43.7090i 0.896136 + 1.55215i
\(794\) −25.0249 9.10833i −0.888102 0.323243i
\(795\) −11.1603 + 73.7906i −0.395815 + 2.61708i
\(796\) 0.731131 + 0.613491i 0.0259142 + 0.0217446i
\(797\) 3.31354 18.7920i 0.117372 0.665648i −0.868177 0.496255i \(-0.834708\pi\)
0.985549 0.169393i \(-0.0541807\pi\)
\(798\) −1.77003 + 0.504004i −0.0626585 + 0.0178415i
\(799\) −6.38561 + 5.35817i −0.225907 + 0.189558i
\(800\) 5.26518 + 9.11957i 0.186152 + 0.322425i
\(801\) −4.52681 + 8.80791i −0.159947 + 0.311212i
\(802\) 10.1349 17.5542i 0.357876 0.619859i
\(803\) −5.76422 + 4.83675i −0.203415 + 0.170685i
\(804\) 0.728102 + 3.61111i 0.0256782 + 0.127354i
\(805\) 47.0822 12.1713i 1.65943 0.428982i
\(806\) 23.6521 8.60867i 0.833110 0.303227i
\(807\) 22.9248 42.0463i 0.806990 1.48010i
\(808\) −0.999192 + 0.838422i −0.0351515 + 0.0294956i
\(809\) 6.30348 + 10.9179i 0.221619 + 0.383855i 0.955300 0.295639i \(-0.0955327\pi\)
−0.733681 + 0.679494i \(0.762199\pi\)
\(810\) 20.6458 + 28.8394i 0.725418 + 1.01331i
\(811\) −28.3161 −0.994311 −0.497156 0.867661i \(-0.665622\pi\)
−0.497156 + 0.867661i \(0.665622\pi\)
\(812\) −2.70484 1.29047i −0.0949214 0.0452867i
\(813\) −28.9175 + 0.706525i −1.01418 + 0.0247789i
\(814\) 1.89704 10.7587i 0.0664913 0.377091i
\(815\) 2.84985 16.1623i 0.0998260 0.566141i
\(816\) −9.71205 + 8.56220i −0.339990 + 0.299737i
\(817\) −1.21950 + 1.02329i −0.0426651 + 0.0358002i
\(818\) −0.310122 0.537148i −0.0108432 0.0187809i
\(819\) −20.9832 + 32.6765i −0.733211 + 1.14181i
\(820\) −5.94308 + 10.2937i −0.207541 + 0.359472i
\(821\) 2.09357 + 11.8732i 0.0730660 + 0.414378i 0.999299 + 0.0374272i \(0.0119162\pi\)
−0.926233 + 0.376951i \(0.876973\pi\)
\(822\) 16.5745 + 13.2314i 0.578101 + 0.461499i
\(823\) 13.1414 4.78306i 0.458079 0.166727i −0.102666 0.994716i \(-0.532737\pi\)
0.560745 + 0.827989i \(0.310515\pi\)
\(824\) 6.26879 + 5.26014i 0.218384 + 0.183246i
\(825\) 48.7731 + 38.9356i 1.69806 + 1.35556i
\(826\) −8.20225 3.91327i −0.285393 0.136160i
\(827\) −5.96830 + 10.3374i −0.207538 + 0.359467i −0.950938 0.309380i \(-0.899878\pi\)
0.743400 + 0.668847i \(0.233212\pi\)
\(828\) 3.09975 + 13.6445i 0.107724 + 0.474179i
\(829\) 2.25857 3.91197i 0.0784435 0.135868i −0.824135 0.566393i \(-0.808338\pi\)
0.902579 + 0.430525i \(0.141672\pi\)
\(830\) 0.743072 + 4.21417i 0.0257924 + 0.146276i
\(831\) 33.4315 29.4735i 1.15973 1.02242i
\(832\) −3.74792 3.14488i −0.129936 0.109029i
\(833\) 51.6837 8.17538i 1.79073 0.283260i
\(834\) 5.03687 + 8.25185i 0.174413 + 0.285738i
\(835\) −58.2984 21.2189i −2.01750 0.734310i
\(836\) −0.687082 1.19006i −0.0237632 0.0411591i
\(837\) −21.6809 15.6375i −0.749402 0.540510i
\(838\) 3.86533 6.69495i 0.133526 0.231273i
\(839\) −1.41516 8.02576i −0.0488567 0.277080i 0.950586 0.310461i \(-0.100484\pi\)
−0.999443 + 0.0333813i \(0.989372\pi\)
\(840\) 18.0129 + 1.29311i 0.621505 + 0.0446164i
\(841\) 26.0454 9.47975i 0.898117 0.326888i
\(842\) −0.425317 + 0.154803i −0.0146574 + 0.00533486i
\(843\) 3.28417 + 1.10527i 0.113113 + 0.0380676i
\(844\) −2.74741 15.5813i −0.0945697 0.536331i
\(845\) 43.1020 1.48276
\(846\) −0.419336 + 3.31901i −0.0144171 + 0.114110i
\(847\) 1.08764 1.52450i 0.0373719 0.0523824i
\(848\) −8.37557 + 7.02794i −0.287618 + 0.241340i
\(849\) 36.0754 + 28.7991i 1.23811 + 0.988381i
\(850\) −73.9693 + 26.9226i −2.53713 + 0.923438i
\(851\) 13.9932 5.09313i 0.479682 0.174590i
\(852\) 4.65017 + 3.71224i 0.159312 + 0.127179i
\(853\) −26.4820 + 22.2210i −0.906725 + 0.760833i −0.971493 0.237067i \(-0.923814\pi\)
0.0647678 + 0.997900i \(0.479369\pi\)
\(854\) −11.3158 24.8368i −0.387218 0.849897i
\(855\) 0.595151 4.71057i 0.0203537 0.161098i
\(856\) −14.3071 −0.489006
\(857\) −5.80775 32.9374i −0.198389 1.12512i −0.907509 0.420033i \(-0.862019\pi\)
0.709120 0.705088i \(-0.249092\pi\)
\(858\) −27.4813 9.24868i −0.938195 0.315745i
\(859\) −34.3394 + 12.4985i −1.17164 + 0.426444i −0.853244 0.521512i \(-0.825368\pi\)
−0.318401 + 0.947956i \(0.603146\pi\)
\(860\) 14.6793 5.34283i 0.500560 0.182189i
\(861\) 6.03601 + 12.4340i 0.205707 + 0.423751i
\(862\) −6.41157 36.3618i −0.218379 1.23849i
\(863\) 16.3210 28.2688i 0.555574 0.962282i −0.442285 0.896875i \(-0.645832\pi\)
0.997859 0.0654076i \(-0.0208348\pi\)
\(864\) −0.525213 + 5.16954i −0.0178681 + 0.175871i
\(865\) 47.2018 + 81.7560i 1.60491 + 2.77979i
\(866\) −34.4603 12.5425i −1.17101 0.426212i
\(867\) −35.0841 57.4778i −1.19152 1.95205i
\(868\) −13.1780 + 3.40666i −0.447290 + 0.115630i
\(869\) 42.5863 + 35.7342i 1.44464 + 1.21220i
\(870\) 5.79969 5.11304i 0.196628 0.173348i
\(871\) −1.80693 10.2476i −0.0612254 0.347227i
\(872\) 4.67627 8.09953i 0.158358 0.274285i
\(873\) −9.06879 39.9190i −0.306932 1.35105i
\(874\) 0.936557 1.62216i 0.0316795 0.0548705i
\(875\) 52.0429 + 24.8295i 1.75937 + 0.839392i
\(876\) −2.97678 2.37637i −0.100576 0.0802900i
\(877\) −36.5767 30.6915i −1.23511 1.03638i −0.997890 0.0649210i \(-0.979320\pi\)
−0.237217 0.971457i \(-0.576235\pi\)
\(878\) 20.8189 7.57745i 0.702603 0.255727i
\(879\) −28.8351 23.0191i −0.972584 0.776415i
\(880\) 2.34153 + 13.2795i 0.0789329 + 0.447650i
\(881\) 22.9571 39.7629i 0.773445 1.33965i −0.162220 0.986755i \(-0.551865\pi\)
0.935665 0.352891i \(-0.114801\pi\)
\(882\) 12.9901 16.5002i 0.437399 0.555592i
\(883\) −2.48770 4.30882i −0.0837178 0.145003i 0.821126 0.570747i \(-0.193346\pi\)
−0.904844 + 0.425743i \(0.860013\pi\)
\(884\) 28.0164 23.5086i 0.942295 0.790679i
\(885\) 17.5872 15.5050i 0.591186 0.521194i
\(886\) 4.65340 26.3907i 0.156334 0.886614i
\(887\) 2.50163 14.1874i 0.0839964 0.476367i −0.913572 0.406676i \(-0.866688\pi\)
0.997569 0.0696907i \(-0.0222012\pi\)
\(888\) 5.52841 0.135073i 0.185521 0.00453274i
\(889\) 2.96961 2.04052i 0.0995974 0.0684369i
\(890\) −13.0089 −0.436059
\(891\) 8.28056 + 29.6608i 0.277409 + 0.993676i
\(892\) −6.24392 10.8148i −0.209062 0.362106i
\(893\) 0.343069 0.287869i 0.0114804 0.00963316i
\(894\) −13.5330 + 24.8209i −0.452612 + 0.830136i
\(895\) −40.7476 + 14.8309i −1.36204 + 0.495743i
\(896\) 1.85424 + 1.88727i 0.0619460 + 0.0630492i
\(897\) −7.81194 38.7443i −0.260833 1.29364i
\(898\) −6.26651 + 5.25823i −0.209116 + 0.175469i
\(899\) −2.91369 + 5.04665i −0.0971768 + 0.168315i
\(900\) −14.4406 + 28.0974i −0.481354 + 0.936581i
\(901\) −40.8651 70.7804i −1.36141 2.35804i
\(902\) −7.90575 + 6.63371i −0.263233 + 0.220878i
\(903\) 4.42717 17.6174i 0.147327 0.586270i
\(904\) 0.976624 5.53871i 0.0324820 0.184215i
\(905\) −3.03048 2.54288i −0.100737 0.0845281i
\(906\) −2.85802 + 18.8969i −0.0949513 + 0.627806i
\(907\) 13.1176 + 4.77441i 0.435562 + 0.158532i 0.550489 0.834842i \(-0.314441\pi\)
−0.114927 + 0.993374i \(0.536663\pi\)
\(908\) −11.3126 19.5940i −0.375423 0.650251i
\(909\) −3.73804 1.15718i −0.123983 0.0383811i
\(910\) −50.7772 4.89437i −1.68325 0.162247i
\(911\) 6.67210 + 2.42845i 0.221057 + 0.0804580i 0.450174 0.892941i \(-0.351362\pi\)
−0.229118 + 0.973399i \(0.573584\pi\)
\(912\) 0.521782 0.460006i 0.0172779 0.0152323i
\(913\) −0.645176 + 3.65897i −0.0213522 + 0.121094i
\(914\) 1.42100 + 1.19236i 0.0470025 + 0.0394398i
\(915\) 70.3923 1.71986i 2.32710 0.0568567i
\(916\) −2.28925 12.9830i −0.0756388 0.428969i
\(917\) 47.2374 + 4.55318i 1.55992 + 0.150359i
\(918\) −37.3744 10.5768i −1.23354 0.349085i
\(919\) −26.5199 + 45.9338i −0.874811 + 1.51522i −0.0178467 + 0.999841i \(0.505681\pi\)
−0.856964 + 0.515376i \(0.827652\pi\)
\(920\) −14.0802 + 11.8147i −0.464210 + 0.389519i
\(921\) −22.7237 + 0.555195i −0.748771 + 0.0182943i
\(922\) −5.89233 + 33.4171i −0.194054 + 1.10053i
\(923\) −12.8754 10.8038i −0.423800 0.355610i
\(924\) 14.3126 + 6.40417i 0.470850 + 0.210682i
\(925\) 31.5935 + 11.4991i 1.03879 + 0.378088i
\(926\) 1.48972 0.0489552
\(927\) −3.07727 + 24.3564i −0.101071 + 0.799968i
\(928\) 1.13273 0.0371836
\(929\) −1.41364 8.01714i −0.0463800 0.263034i 0.952797 0.303610i \(-0.0981919\pi\)
−0.999176 + 0.0405758i \(0.987081\pi\)
\(930\) 5.25125 34.7206i 0.172195 1.13853i
\(931\) −2.77672 + 0.439224i −0.0910033 + 0.0143950i
\(932\) −2.17451 + 12.3323i −0.0712286 + 0.403957i
\(933\) −31.8727 25.4440i −1.04346 0.832999i
\(934\) −22.5364 8.20257i −0.737413 0.268396i
\(935\) −100.798 −3.29644
\(936\) 1.83981 14.5619i 0.0601360 0.475972i
\(937\) 10.4893 + 18.1680i 0.342670 + 0.593522i 0.984928 0.172967i \(-0.0553354\pi\)
−0.642258 + 0.766489i \(0.722002\pi\)
\(938\) 0.440938 + 5.60977i 0.0143971 + 0.183166i
\(939\) 3.74246 3.29937i 0.122130 0.107671i
\(940\) −4.12956 + 1.50304i −0.134691 + 0.0490236i
\(941\) 40.6165 + 34.0813i 1.32406 + 1.11102i 0.985427 + 0.170099i \(0.0544087\pi\)
0.338632 + 0.940919i \(0.390036\pi\)
\(942\) 23.3929 0.571546i 0.762183 0.0186220i
\(943\) −13.2191 4.81134i −0.430472 0.156679i
\(944\) 3.43492 0.111797
\(945\) 26.0118 + 47.5250i 0.846163 + 1.54599i
\(946\) 13.5634 0.440983
\(947\) −10.3158 3.75466i −0.335220 0.122010i 0.168926 0.985629i \(-0.445970\pi\)
−0.504145 + 0.863619i \(0.668192\pi\)
\(948\) −13.4710 + 24.7072i −0.437518 + 0.802452i
\(949\) 8.24213 + 6.91597i 0.267551 + 0.224502i
\(950\) 3.97402 1.44642i 0.128934 0.0469282i
\(951\) 1.64272 + 0.552850i 0.0532690 + 0.0179274i
\(952\) −16.3003 + 11.2005i −0.528294 + 0.363009i
\(953\) 1.34851 + 2.33569i 0.0436825 + 0.0756603i 0.887040 0.461693i \(-0.152758\pi\)
−0.843358 + 0.537353i \(0.819424\pi\)
\(954\) −31.3336 9.69984i −1.01446 0.314044i
\(955\) −6.05874 −0.196056
\(956\) 21.3504 + 7.77092i 0.690522 + 0.251329i
\(957\) 6.25030 2.44941i 0.202043 0.0791783i
\(958\) −2.17803 + 12.3522i −0.0703690 + 0.399082i
\(959\) 22.7043 + 23.1086i 0.733160 + 0.746217i
\(960\) −6.35519 + 2.49052i −0.205113 + 0.0803812i
\(961\) −0.787252 4.46473i −0.0253952 0.144024i
\(962\) −15.6209 −0.503638
\(963\) −23.2503 36.0785i −0.749230 1.16261i
\(964\) −1.53567 −0.0494607
\(965\) −67.1935 24.4564i −2.16304 0.787281i
\(966\) 2.19477 + 21.2604i 0.0706154 + 0.684042i
\(967\) 12.4689 + 10.4626i 0.400972 + 0.336456i 0.820869 0.571116i \(-0.193489\pi\)
−0.419897 + 0.907572i \(0.637934\pi\)
\(968\) −0.122912 + 0.697067i −0.00395053 + 0.0224046i
\(969\) 2.70909 + 4.43827i 0.0870286 + 0.142578i
\(970\) 41.1937 34.5656i 1.32265 1.10984i
\(971\) −10.8061 + 18.7167i −0.346783 + 0.600646i −0.985676 0.168650i \(-0.946059\pi\)
0.638893 + 0.769296i \(0.279393\pi\)
\(972\) −13.8897 + 7.07652i −0.445511 + 0.226980i
\(973\) 6.12267 + 13.4385i 0.196284 + 0.430819i
\(974\) −2.93367 16.6377i −0.0940008 0.533105i
\(975\) 42.7172 78.3476i 1.36804 2.50913i
\(976\) 7.90237 + 6.63088i 0.252949 + 0.212249i
\(977\) −4.65609 + 26.4060i −0.148961 + 0.844802i 0.815139 + 0.579265i \(0.196660\pi\)
−0.964101 + 0.265537i \(0.914451\pi\)
\(978\) 6.83633 + 2.30073i 0.218602 + 0.0735693i
\(979\) −10.6139 3.86313i −0.339221 0.123466i
\(980\) 27.0781 + 5.26903i 0.864979 + 0.168313i
\(981\) 28.0241 1.37021i 0.894741 0.0437476i
\(982\) −0.975342 1.68934i −0.0311244 0.0539091i
\(983\) 4.04741 + 1.47314i 0.129092 + 0.0469858i 0.405759 0.913980i \(-0.367007\pi\)
−0.276666 + 0.960966i \(0.589230\pi\)
\(984\) −4.08272 3.25924i −0.130152 0.103901i
\(985\) 36.4863 + 30.6157i 1.16255 + 0.975496i
\(986\) −1.47034 + 8.33871i −0.0468251 + 0.265559i
\(987\) −1.24544 + 4.95609i −0.0396429 + 0.157754i
\(988\) −1.50519 + 1.26300i −0.0478865 + 0.0401815i
\(989\) 9.24406 + 16.0112i 0.293944 + 0.509126i
\(990\) −29.6819 + 27.4850i −0.943353 + 0.873530i
\(991\) −21.2812 + 36.8602i −0.676020 + 1.17090i 0.300149 + 0.953892i \(0.402964\pi\)
−0.976170 + 0.217009i \(0.930370\pi\)
\(992\) 3.94095 3.30685i 0.125125 0.104993i
\(993\) 12.1417 + 4.08624i 0.385306 + 0.129673i
\(994\) 6.36997 + 6.48342i 0.202043 + 0.205642i
\(995\) −3.53442 + 1.28642i −0.112049 + 0.0407823i
\(996\) −1.88019 + 0.0459376i −0.0595760 + 0.00145559i
\(997\) −20.8192 + 17.4694i −0.659350 + 0.553260i −0.909892 0.414845i \(-0.863836\pi\)
0.250542 + 0.968106i \(0.419391\pi\)
\(998\) −2.00744 3.47699i −0.0635444 0.110062i
\(999\) 9.32477 + 13.7216i 0.295023 + 0.434132i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 378.2.w.b.121.5 yes 72
7.4 even 3 378.2.v.a.67.5 72
27.25 even 9 378.2.v.a.79.5 yes 72
189.25 even 9 inner 378.2.w.b.25.5 yes 72
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
378.2.v.a.67.5 72 7.4 even 3
378.2.v.a.79.5 yes 72 27.25 even 9
378.2.w.b.25.5 yes 72 189.25 even 9 inner
378.2.w.b.121.5 yes 72 1.1 even 1 trivial