Properties

Label 441.2.z.a.142.54
Level $441$
Weight $2$
Character 441.142
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
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] = [441,2,Mod(4,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), 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: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 142.54
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.54

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.00033 - 2.54880i) q^{2} +(1.48112 + 0.897926i) q^{3} +(-4.02960 - 3.73892i) q^{4} +(3.08891 - 1.48754i) q^{5} +(3.77024 - 2.87686i) q^{6} +(-1.19899 - 2.35848i) q^{7} +(-8.62683 + 4.15446i) q^{8} +(1.38746 + 2.65988i) q^{9} +O(q^{10})\) \(q+(1.00033 - 2.54880i) q^{2} +(1.48112 + 0.897926i) q^{3} +(-4.02960 - 3.73892i) q^{4} +(3.08891 - 1.48754i) q^{5} +(3.77024 - 2.87686i) q^{6} +(-1.19899 - 2.35848i) q^{7} +(-8.62683 + 4.15446i) q^{8} +(1.38746 + 2.65988i) q^{9} +(-0.701513 - 9.36104i) q^{10} +(1.41056 + 1.76878i) q^{11} +(-2.61106 - 9.15608i) q^{12} +(-1.60978 + 4.10165i) q^{13} +(-7.21066 + 0.696741i) q^{14} +(5.91077 + 0.570379i) q^{15} +(1.13763 + 15.1806i) q^{16} +(-1.69709 + 1.57467i) q^{17} +(8.16740 - 0.875597i) q^{18} +(2.93943 - 5.09124i) q^{19} +(-18.0089 - 5.55501i) q^{20} +(0.341876 - 4.56981i) q^{21} +(5.91929 - 1.82586i) q^{22} +(-0.667518 + 2.92459i) q^{23} +(-16.5078 - 1.59298i) q^{24} +(4.21116 - 5.28063i) q^{25} +(8.84396 + 8.20599i) q^{26} +(-0.333373 + 5.18545i) q^{27} +(-3.98669 + 13.9867i) q^{28} +(-1.41994 - 0.437993i) q^{29} +(7.36649 - 14.4948i) q^{30} +(-1.06508 + 1.84478i) q^{31} +(21.5308 + 6.64138i) q^{32} +(0.500976 + 3.88637i) q^{33} +(2.31586 + 5.90071i) q^{34} +(-7.21193 - 5.50158i) q^{35} +(4.35417 - 15.9058i) q^{36} +(-2.96455 - 0.914443i) q^{37} +(-10.0361 - 12.5849i) q^{38} +(-6.06726 + 4.62959i) q^{39} +(-20.4676 + 25.6656i) q^{40} +(-2.52254 - 1.71984i) q^{41} +(-11.3055 - 5.44268i) q^{42} +(-1.19865 + 0.817229i) q^{43} +(0.929360 - 12.4015i) q^{44} +(8.24243 + 6.15223i) q^{45} +(6.78644 + 4.62692i) q^{46} +(1.41656 - 3.60933i) q^{47} +(-11.9461 + 23.5058i) q^{48} +(-4.12482 + 5.65560i) q^{49} +(-9.24670 - 16.0158i) q^{50} +(-3.92753 + 0.808420i) q^{51} +(21.8225 - 10.5092i) q^{52} +(9.53751 - 2.94193i) q^{53} +(12.8832 + 6.03685i) q^{54} +(6.98824 + 3.36536i) q^{55} +(20.1417 + 15.3650i) q^{56} +(8.92522 - 4.90137i) q^{57} +(-2.53676 + 3.18100i) q^{58} +(3.66639 - 2.49970i) q^{59} +(-21.6854 - 24.3983i) q^{60} +(-7.74088 + 7.18249i) q^{61} +(3.63653 + 4.56006i) q^{62} +(4.60971 - 6.46147i) q^{63} +(19.4825 - 24.4303i) q^{64} +(1.12891 + 15.0643i) q^{65} +(10.4067 + 2.61076i) q^{66} +(5.54419 - 9.60281i) q^{67} +12.7261 q^{68} +(-3.61474 + 3.73230i) q^{69} +(-21.2367 + 12.8783i) q^{70} +(-1.45800 + 6.38792i) q^{71} +(-23.0198 - 17.1822i) q^{72} +(6.13695 + 0.924996i) q^{73} +(-5.29626 + 6.64129i) q^{74} +(10.9789 - 4.03996i) q^{75} +(-30.8805 + 9.52536i) q^{76} +(2.48038 - 5.44753i) q^{77} +(5.73063 + 20.0953i) q^{78} +(4.22053 + 7.31017i) q^{79} +(26.0958 + 45.1992i) q^{80} +(-5.14991 + 7.38095i) q^{81} +(-6.90689 + 4.70904i) q^{82} +(0.508316 + 1.29517i) q^{83} +(-18.4638 + 17.1362i) q^{84} +(-2.89977 + 7.38850i) q^{85} +(0.883900 + 3.87262i) q^{86} +(-1.70982 - 1.92372i) q^{87} +(-19.5170 - 9.39889i) q^{88} +(-5.49413 - 13.9988i) q^{89} +(23.9259 - 14.8540i) q^{90} +(11.6038 - 1.12123i) q^{91} +(13.6246 - 9.28912i) q^{92} +(-3.23399 + 1.77598i) q^{93} +(-7.78243 - 7.22104i) q^{94} +(1.50621 - 20.0989i) q^{95} +(25.9264 + 29.1698i) q^{96} +(-2.34978 + 4.06993i) q^{97} +(10.2888 + 16.1708i) q^{98} +(-2.74766 + 6.20603i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00033 2.54880i 0.707339 1.80227i 0.120257 0.992743i \(-0.461628\pi\)
0.587082 0.809528i \(-0.300277\pi\)
\(3\) 1.48112 + 0.897926i 0.855128 + 0.518418i
\(4\) −4.02960 3.73892i −2.01480 1.86946i
\(5\) 3.08891 1.48754i 1.38140 0.665249i 0.412106 0.911136i \(-0.364793\pi\)
0.969299 + 0.245886i \(0.0790790\pi\)
\(6\) 3.77024 2.87686i 1.53919 1.17447i
\(7\) −1.19899 2.35848i −0.453177 0.891420i
\(8\) −8.62683 + 4.15446i −3.05005 + 1.46882i
\(9\) 1.38746 + 2.65988i 0.462486 + 0.886626i
\(10\) −0.701513 9.36104i −0.221838 2.96022i
\(11\) 1.41056 + 1.76878i 0.425299 + 0.533309i 0.947603 0.319451i \(-0.103499\pi\)
−0.522303 + 0.852760i \(0.674927\pi\)
\(12\) −2.61106 9.15608i −0.753749 2.64313i
\(13\) −1.60978 + 4.10165i −0.446472 + 1.13759i 0.513647 + 0.858002i \(0.328294\pi\)
−0.960119 + 0.279591i \(0.909801\pi\)
\(14\) −7.21066 + 0.696741i −1.92713 + 0.186212i
\(15\) 5.91077 + 0.570379i 1.52615 + 0.147271i
\(16\) 1.13763 + 15.1806i 0.284407 + 3.79514i
\(17\) −1.69709 + 1.57467i −0.411604 + 0.381913i −0.858620 0.512613i \(-0.828677\pi\)
0.447015 + 0.894526i \(0.352487\pi\)
\(18\) 8.16740 0.875597i 1.92508 0.206380i
\(19\) 2.93943 5.09124i 0.674351 1.16801i −0.302307 0.953211i \(-0.597757\pi\)
0.976658 0.214800i \(-0.0689100\pi\)
\(20\) −18.0089 5.55501i −4.02691 1.24214i
\(21\) 0.341876 4.56981i 0.0746034 0.997213i
\(22\) 5.91929 1.82586i 1.26200 0.389275i
\(23\) −0.667518 + 2.92459i −0.139187 + 0.609819i 0.856427 + 0.516268i \(0.172679\pi\)
−0.995614 + 0.0935512i \(0.970178\pi\)
\(24\) −16.5078 1.59298i −3.36964 0.325165i
\(25\) 4.21116 5.28063i 0.842232 1.05613i
\(26\) 8.84396 + 8.20599i 1.73444 + 1.60933i
\(27\) −0.333373 + 5.18545i −0.0641577 + 0.997940i
\(28\) −3.98669 + 13.9867i −0.753413 + 2.64323i
\(29\) −1.41994 0.437993i −0.263676 0.0813333i 0.160098 0.987101i \(-0.448819\pi\)
−0.423774 + 0.905768i \(0.639295\pi\)
\(30\) 7.36649 14.4948i 1.34493 2.64637i
\(31\) −1.06508 + 1.84478i −0.191294 + 0.331332i −0.945679 0.325100i \(-0.894602\pi\)
0.754385 + 0.656432i \(0.227935\pi\)
\(32\) 21.5308 + 6.64138i 3.80615 + 1.17404i
\(33\) 0.500976 + 3.88637i 0.0872087 + 0.676529i
\(34\) 2.31586 + 5.90071i 0.397167 + 1.01196i
\(35\) −7.21193 5.50158i −1.21904 0.929936i
\(36\) 4.35417 15.9058i 0.725695 2.65097i
\(37\) −2.96455 0.914443i −0.487369 0.150334i 0.0413250 0.999146i \(-0.486842\pi\)
−0.528694 + 0.848812i \(0.677318\pi\)
\(38\) −10.0361 12.5849i −1.62808 2.04154i
\(39\) −6.06726 + 4.62959i −0.971539 + 0.741328i
\(40\) −20.4676 + 25.6656i −3.23621 + 4.05808i
\(41\) −2.52254 1.71984i −0.393955 0.268594i 0.350100 0.936712i \(-0.386148\pi\)
−0.744055 + 0.668119i \(0.767100\pi\)
\(42\) −11.3055 5.44268i −1.74448 0.839823i
\(43\) −1.19865 + 0.817229i −0.182793 + 0.124626i −0.651260 0.758855i \(-0.725759\pi\)
0.468466 + 0.883481i \(0.344807\pi\)
\(44\) 0.929360 12.4015i 0.140106 1.86959i
\(45\) 8.24243 + 6.15223i 1.22871 + 0.917121i
\(46\) 6.78644 + 4.62692i 1.00061 + 0.682202i
\(47\) 1.41656 3.60933i 0.206626 0.526475i −0.789565 0.613667i \(-0.789694\pi\)
0.996192 + 0.0871913i \(0.0277891\pi\)
\(48\) −11.9461 + 23.5058i −1.72427 + 3.39277i
\(49\) −4.12482 + 5.65560i −0.589260 + 0.807943i
\(50\) −9.24670 16.0158i −1.30768 2.26497i
\(51\) −3.92753 + 0.808420i −0.549965 + 0.113201i
\(52\) 21.8225 10.5092i 3.02624 1.45736i
\(53\) 9.53751 2.94193i 1.31008 0.404106i 0.440434 0.897785i \(-0.354825\pi\)
0.869644 + 0.493679i \(0.164348\pi\)
\(54\) 12.8832 + 6.03685i 1.75318 + 0.821511i
\(55\) 6.98824 + 3.36536i 0.942294 + 0.453785i
\(56\) 20.1417 + 15.3650i 2.69155 + 2.05324i
\(57\) 8.92522 4.90137i 1.18217 0.649203i
\(58\) −2.53676 + 3.18100i −0.333093 + 0.417685i
\(59\) 3.66639 2.49970i 0.477323 0.325433i −0.300646 0.953736i \(-0.597202\pi\)
0.777969 + 0.628302i \(0.216250\pi\)
\(60\) −21.6854 24.3983i −2.79958 3.14981i
\(61\) −7.74088 + 7.18249i −0.991118 + 0.919623i −0.996766 0.0803608i \(-0.974393\pi\)
0.00564771 + 0.999984i \(0.498202\pi\)
\(62\) 3.63653 + 4.56006i 0.461839 + 0.579128i
\(63\) 4.60971 6.46147i 0.580768 0.814069i
\(64\) 19.4825 24.4303i 2.43531 3.05378i
\(65\) 1.12891 + 15.0643i 0.140024 + 1.86849i
\(66\) 10.4067 + 2.61076i 1.28098 + 0.321362i
\(67\) 5.54419 9.60281i 0.677330 1.17317i −0.298452 0.954425i \(-0.596470\pi\)
0.975782 0.218745i \(-0.0701964\pi\)
\(68\) 12.7261 1.54327
\(69\) −3.61474 + 3.73230i −0.435164 + 0.449316i
\(70\) −21.2367 + 12.8783i −2.53827 + 1.53926i
\(71\) −1.45800 + 6.38792i −0.173033 + 0.758107i 0.811706 + 0.584067i \(0.198539\pi\)
−0.984739 + 0.174040i \(0.944318\pi\)
\(72\) −23.0198 17.1822i −2.71290 2.02494i
\(73\) 6.13695 + 0.924996i 0.718275 + 0.108263i 0.498002 0.867176i \(-0.334067\pi\)
0.220273 + 0.975438i \(0.429305\pi\)
\(74\) −5.29626 + 6.64129i −0.615677 + 0.772035i
\(75\) 10.9789 4.03996i 1.26773 0.466494i
\(76\) −30.8805 + 9.52536i −3.54223 + 1.09263i
\(77\) 2.48038 5.44753i 0.282666 0.620804i
\(78\) 5.73063 + 20.0953i 0.648866 + 2.27535i
\(79\) 4.22053 + 7.31017i 0.474847 + 0.822458i 0.999585 0.0288051i \(-0.00917020\pi\)
−0.524738 + 0.851264i \(0.675837\pi\)
\(80\) 26.0958 + 45.1992i 2.91760 + 5.05343i
\(81\) −5.14991 + 7.38095i −0.572213 + 0.820105i
\(82\) −6.90689 + 4.70904i −0.762738 + 0.520026i
\(83\) 0.508316 + 1.29517i 0.0557949 + 0.142163i 0.956053 0.293193i \(-0.0947178\pi\)
−0.900258 + 0.435356i \(0.856623\pi\)
\(84\) −18.4638 + 17.1362i −2.01456 + 1.86972i
\(85\) −2.89977 + 7.38850i −0.314525 + 0.801396i
\(86\) 0.883900 + 3.87262i 0.0953134 + 0.417595i
\(87\) −1.70982 1.92372i −0.183312 0.206245i
\(88\) −19.5170 9.39889i −2.08052 1.00193i
\(89\) −5.49413 13.9988i −0.582377 1.48387i −0.853378 0.521293i \(-0.825450\pi\)
0.271001 0.962579i \(-0.412645\pi\)
\(90\) 23.9259 14.8540i 2.52201 1.56575i
\(91\) 11.6038 1.12123i 1.21640 0.117537i
\(92\) 13.6246 9.28912i 1.42047 0.968457i
\(93\) −3.23399 + 1.77598i −0.335349 + 0.184161i
\(94\) −7.78243 7.22104i −0.802696 0.744793i
\(95\) 1.50621 20.0989i 0.154534 2.06211i
\(96\) 25.9264 + 29.1698i 2.64610 + 2.97713i
\(97\) −2.34978 + 4.06993i −0.238584 + 0.413239i −0.960308 0.278941i \(-0.910016\pi\)
0.721724 + 0.692180i \(0.243350\pi\)
\(98\) 10.2888 + 16.1708i 1.03933 + 1.63350i
\(99\) −2.74766 + 6.20603i −0.276150 + 0.623730i
\(100\) −36.7131 + 5.53362i −3.67131 + 0.553362i
\(101\) −5.19431 + 2.50145i −0.516853 + 0.248903i −0.674079 0.738659i \(-0.735459\pi\)
0.157226 + 0.987563i \(0.449745\pi\)
\(102\) −1.86833 + 10.8192i −0.184992 + 1.07126i
\(103\) 10.7161 5.16062i 1.05589 0.508491i 0.176358 0.984326i \(-0.443568\pi\)
0.879534 + 0.475835i \(0.157854\pi\)
\(104\) −3.15286 42.0720i −0.309163 4.12550i
\(105\) −5.74176 14.6243i −0.560338 1.42719i
\(106\) 2.04226 27.2521i 0.198362 2.64695i
\(107\) −3.87616 9.87629i −0.374722 0.954777i −0.986502 0.163749i \(-0.947641\pi\)
0.611780 0.791028i \(-0.290454\pi\)
\(108\) 20.7313 19.6488i 1.99487 1.89071i
\(109\) −6.10709 + 15.5606i −0.584953 + 1.49044i 0.265355 + 0.964151i \(0.414511\pi\)
−0.850308 + 0.526285i \(0.823584\pi\)
\(110\) 15.5681 14.4451i 1.48436 1.37729i
\(111\) −3.56977 4.01635i −0.338828 0.381215i
\(112\) 34.4390 20.8845i 3.25418 1.97340i
\(113\) 0.387884 + 0.0584641i 0.0364890 + 0.00549984i 0.167261 0.985913i \(-0.446508\pi\)
−0.130772 + 0.991412i \(0.541746\pi\)
\(114\) −3.56445 27.6515i −0.333841 2.58980i
\(115\) 2.28854 + 10.0268i 0.213408 + 0.935001i
\(116\) 4.08416 + 7.07397i 0.379205 + 0.656802i
\(117\) −13.1434 + 1.40905i −1.21511 + 0.130267i
\(118\) −2.70363 11.8454i −0.248890 1.09046i
\(119\) 5.74862 + 2.11452i 0.526975 + 0.193838i
\(120\) −53.3609 + 19.6355i −4.87116 + 1.79247i
\(121\) 1.30881 5.73426i 0.118982 0.521296i
\(122\) 10.5633 + 26.9148i 0.956353 + 2.43675i
\(123\) −2.19191 4.81235i −0.197638 0.433915i
\(124\) 11.1893 3.45145i 1.00483 0.309949i
\(125\) 1.33826 5.86331i 0.119698 0.524430i
\(126\) −11.8577 18.2128i −1.05637 1.62252i
\(127\) −0.0479773 0.210202i −0.00425730 0.0186524i 0.972755 0.231837i \(-0.0744736\pi\)
−0.977012 + 0.213185i \(0.931616\pi\)
\(128\) −20.2470 35.0688i −1.78960 3.09968i
\(129\) −2.50917 + 0.134115i −0.220920 + 0.0118082i
\(130\) 39.5250 + 12.1918i 3.46657 + 1.06930i
\(131\) −8.49789 4.09237i −0.742464 0.357552i 0.0241086 0.999709i \(-0.492325\pi\)
−0.766573 + 0.642157i \(0.778040\pi\)
\(132\) 12.5121 17.5336i 1.08904 1.52610i
\(133\) −15.5319 0.828204i −1.34679 0.0718144i
\(134\) −18.9296 23.7370i −1.63527 2.05056i
\(135\) 6.68381 + 16.5133i 0.575251 + 1.42124i
\(136\) 8.09860 20.6349i 0.694449 1.76943i
\(137\) −19.7936 9.53211i −1.69108 0.814383i −0.995376 0.0960585i \(-0.969376\pi\)
−0.695708 0.718325i \(-0.744909\pi\)
\(138\) 5.89694 + 12.9468i 0.501981 + 1.10210i
\(139\) 0.193590 + 0.131988i 0.0164201 + 0.0111951i 0.571502 0.820600i \(-0.306361\pi\)
−0.555082 + 0.831796i \(0.687313\pi\)
\(140\) 8.49121 + 49.1340i 0.717638 + 4.15258i
\(141\) 5.33901 4.07391i 0.449626 0.343085i
\(142\) 14.8230 + 10.1062i 1.24392 + 0.848091i
\(143\) −9.52562 + 2.93826i −0.796572 + 0.245710i
\(144\) −38.8001 + 24.0884i −3.23334 + 2.00737i
\(145\) −5.03760 + 0.759297i −0.418350 + 0.0630561i
\(146\) 8.49659 14.7165i 0.703183 1.21795i
\(147\) −11.1877 + 4.67287i −0.922745 + 0.385412i
\(148\) 8.52692 + 14.7691i 0.700909 + 1.21401i
\(149\) −1.27546 1.59937i −0.104490 0.131026i 0.726837 0.686810i \(-0.240990\pi\)
−0.831327 + 0.555784i \(0.812418\pi\)
\(150\) 0.685442 32.0242i 0.0559661 2.61476i
\(151\) −0.0213808 + 0.0936754i −0.00173994 + 0.00762320i −0.975790 0.218708i \(-0.929816\pi\)
0.974050 + 0.226331i \(0.0726730\pi\)
\(152\) −4.20659 + 56.1330i −0.341199 + 4.55299i
\(153\) −6.54307 2.32926i −0.528975 0.188310i
\(154\) −11.4034 11.7713i −0.918916 0.948559i
\(155\) −0.545764 + 7.28272i −0.0438368 + 0.584962i
\(156\) 41.7583 + 4.02960i 3.34334 + 0.322626i
\(157\) −1.27240 + 0.867508i −0.101549 + 0.0692347i −0.613030 0.790060i \(-0.710049\pi\)
0.511481 + 0.859295i \(0.329097\pi\)
\(158\) 22.8540 3.44469i 1.81817 0.274045i
\(159\) 16.7679 + 4.20661i 1.32978 + 0.333606i
\(160\) 76.3863 11.5134i 6.03887 0.910212i
\(161\) 7.69792 1.93224i 0.606681 0.152282i
\(162\) 13.6609 + 20.5094i 1.07330 + 1.61137i
\(163\) 14.2789 9.73520i 1.11841 0.762520i 0.144512 0.989503i \(-0.453839\pi\)
0.973899 + 0.226983i \(0.0728863\pi\)
\(164\) 3.73448 + 16.3618i 0.291614 + 1.27764i
\(165\) 7.32861 + 11.2594i 0.570531 + 0.876545i
\(166\) 3.80960 0.295682
\(167\) −12.2584 + 11.3742i −0.948586 + 0.880159i −0.992911 0.118858i \(-0.962077\pi\)
0.0443253 + 0.999017i \(0.485886\pi\)
\(168\) 16.0358 + 40.8433i 1.23719 + 3.15113i
\(169\) −4.70246 4.36325i −0.361728 0.335634i
\(170\) 15.9311 + 14.7819i 1.22186 + 1.13372i
\(171\) 17.6204 + 0.754636i 1.34747 + 0.0577085i
\(172\) 7.88564 + 1.18857i 0.601275 + 0.0906276i
\(173\) −8.10086 + 2.49878i −0.615897 + 0.189979i −0.586978 0.809603i \(-0.699683\pi\)
−0.0289186 + 0.999582i \(0.509206\pi\)
\(174\) −6.61356 + 2.43363i −0.501372 + 0.184493i
\(175\) −17.5034 3.60048i −1.32313 0.272171i
\(176\) −25.2465 + 23.4253i −1.90302 + 1.76575i
\(177\) 7.67492 0.410225i 0.576882 0.0308344i
\(178\) −41.1761 −3.08628
\(179\) 5.06663 4.70114i 0.378698 0.351380i −0.467742 0.883865i \(-0.654932\pi\)
0.846439 + 0.532485i \(0.178742\pi\)
\(180\) −10.2110 55.6088i −0.761080 4.14484i
\(181\) −14.4538 + 18.1246i −1.07435 + 1.34719i −0.140270 + 0.990113i \(0.544797\pi\)
−0.934076 + 0.357074i \(0.883774\pi\)
\(182\) 8.74978 30.6972i 0.648577 2.27543i
\(183\) −17.9145 + 3.68742i −1.32428 + 0.272582i
\(184\) −6.39153 28.0031i −0.471190 2.06442i
\(185\) −10.5175 + 1.58526i −0.773264 + 0.116551i
\(186\) 1.29155 + 10.0193i 0.0947013 + 0.734654i
\(187\) −5.17909 0.780622i −0.378732 0.0570847i
\(188\) −19.2032 + 9.24776i −1.40053 + 0.674462i
\(189\) 12.6295 5.43107i 0.918659 0.395052i
\(190\) −49.7214 23.9446i −3.60717 1.73712i
\(191\) 5.56130 + 3.79163i 0.402402 + 0.274353i 0.747563 0.664190i \(-0.231224\pi\)
−0.345162 + 0.938543i \(0.612176\pi\)
\(192\) 50.7926 18.6904i 3.66564 1.34887i
\(193\) 0.253939 3.38858i 0.0182789 0.243915i −0.980579 0.196127i \(-0.937164\pi\)
0.998857 0.0477884i \(-0.0152173\pi\)
\(194\) 8.02288 + 10.0604i 0.576009 + 0.722292i
\(195\) −11.8545 + 23.3257i −0.848920 + 1.67039i
\(196\) 37.7672 7.36742i 2.69766 0.526244i
\(197\) 1.51010 0.107590 0.0537951 0.998552i \(-0.482868\pi\)
0.0537951 + 0.998552i \(0.482868\pi\)
\(198\) 13.0693 + 13.2113i 0.928798 + 0.938886i
\(199\) 8.79252 + 5.99464i 0.623285 + 0.424949i 0.833355 0.552738i \(-0.186417\pi\)
−0.210070 + 0.977686i \(0.567369\pi\)
\(200\) −14.3908 + 63.0502i −1.01758 + 4.45833i
\(201\) 16.8342 9.24469i 1.18740 0.652070i
\(202\) 1.17966 + 15.7415i 0.0830007 + 1.10757i
\(203\) 0.669503 + 3.87404i 0.0469899 + 0.271905i
\(204\) 18.8490 + 11.4271i 1.31969 + 0.800059i
\(205\) −10.3502 1.56005i −0.722893 0.108959i
\(206\) −2.43371 32.4755i −0.169564 2.26268i
\(207\) −8.70521 + 2.28223i −0.605054 + 0.158626i
\(208\) −64.0967 19.7712i −4.44431 1.37089i
\(209\) 13.1515 1.98228i 0.909711 0.137117i
\(210\) −43.0180 + 0.00546453i −2.96852 + 0.000377088i
\(211\) −11.9005 1.79371i −0.819266 0.123484i −0.273981 0.961735i \(-0.588340\pi\)
−0.545285 + 0.838251i \(0.683579\pi\)
\(212\) −49.4320 23.8052i −3.39500 1.63495i
\(213\) −7.89536 + 8.15213i −0.540981 + 0.558575i
\(214\) −29.0501 −1.98582
\(215\) −2.48688 + 4.30740i −0.169604 + 0.293762i
\(216\) −18.6668 46.1190i −1.27011 3.13800i
\(217\) 5.62789 + 0.300094i 0.382046 + 0.0203717i
\(218\) 33.5517 + 31.1314i 2.27241 + 2.10849i
\(219\) 8.25900 + 6.88055i 0.558092 + 0.464945i
\(220\) −15.5770 39.6895i −1.05020 2.67587i
\(221\) −3.72680 9.49572i −0.250691 0.638751i
\(222\) −13.8078 + 5.08094i −0.926719 + 0.341010i
\(223\) 2.57745 + 2.39153i 0.172599 + 0.160148i 0.761742 0.647880i \(-0.224344\pi\)
−0.589143 + 0.808028i \(0.700535\pi\)
\(224\) −10.1518 58.7430i −0.678297 3.92493i
\(225\) 19.8887 + 3.87452i 1.32591 + 0.258301i
\(226\) 0.537024 0.930153i 0.0357223 0.0618728i
\(227\) −18.2267 −1.20975 −0.604875 0.796321i \(-0.706777\pi\)
−0.604875 + 0.796321i \(0.706777\pi\)
\(228\) −54.2909 13.6201i −3.59550 0.902014i
\(229\) 20.0106 + 9.63660i 1.32234 + 0.636804i 0.955915 0.293644i \(-0.0948680\pi\)
0.366423 + 0.930448i \(0.380582\pi\)
\(230\) 27.8455 + 4.19703i 1.83608 + 0.276744i
\(231\) 8.56524 5.84127i 0.563551 0.384328i
\(232\) 14.0692 2.12059i 0.923688 0.139224i
\(233\) −20.8451 6.42986i −1.36561 0.421234i −0.476598 0.879121i \(-0.658130\pi\)
−0.889010 + 0.457887i \(0.848606\pi\)
\(234\) −9.55632 + 34.9093i −0.624716 + 2.28209i
\(235\) −0.993408 13.2561i −0.0648028 0.864734i
\(236\) −24.1202 3.63554i −1.57009 0.236654i
\(237\) −0.312860 + 14.6170i −0.0203225 + 0.949476i
\(238\) 11.1400 12.5368i 0.722098 0.812642i
\(239\) −0.944342 12.6014i −0.0610844 0.815115i −0.940659 0.339354i \(-0.889792\pi\)
0.879574 0.475761i \(-0.157827\pi\)
\(240\) −1.93443 + 90.3778i −0.124867 + 5.83386i
\(241\) 0.526161 2.30526i 0.0338930 0.148495i −0.955150 0.296122i \(-0.904306\pi\)
0.989043 + 0.147627i \(0.0471636\pi\)
\(242\) −13.3062 9.07203i −0.855356 0.583172i
\(243\) −14.2552 + 6.30786i −0.914472 + 0.404650i
\(244\) 58.0474 3.71610
\(245\) −4.32828 + 23.6055i −0.276523 + 1.50810i
\(246\) −14.4583 + 0.772798i −0.921829 + 0.0492718i
\(247\) 16.1507 + 20.2523i 1.02764 + 1.28862i
\(248\) 1.52423 20.3394i 0.0967887 1.29156i
\(249\) −0.410085 + 2.37473i −0.0259881 + 0.150493i
\(250\) −13.6057 9.27619i −0.860498 0.586678i
\(251\) −3.18381 1.53324i −0.200960 0.0967774i 0.330697 0.943737i \(-0.392716\pi\)
−0.531657 + 0.846960i \(0.678431\pi\)
\(252\) −42.7342 + 8.80181i −2.69200 + 0.554462i
\(253\) −6.11454 + 2.94461i −0.384418 + 0.185126i
\(254\) −0.583755 0.0879870i −0.0366281 0.00552079i
\(255\) −10.9293 + 8.33951i −0.684416 + 0.522241i
\(256\) −47.8400 + 7.21072i −2.99000 + 0.450670i
\(257\) −2.31933 10.1616i −0.144676 0.633866i −0.994313 0.106498i \(-0.966036\pi\)
0.849637 0.527368i \(-0.176821\pi\)
\(258\) −2.16816 + 6.52951i −0.134984 + 0.406510i
\(259\) 1.39779 + 8.08824i 0.0868544 + 0.502579i
\(260\) 51.7750 64.9238i 3.21095 4.02640i
\(261\) −0.805099 4.38456i −0.0498344 0.271398i
\(262\) −18.9313 + 17.5657i −1.16958 + 1.08521i
\(263\) 26.3485 1.62472 0.812360 0.583156i \(-0.198183\pi\)
0.812360 + 0.583156i \(0.198183\pi\)
\(264\) −20.4676 31.4457i −1.25969 1.93535i
\(265\) 25.0843 23.2748i 1.54092 1.42976i
\(266\) −17.6480 + 38.7592i −1.08207 + 2.37648i
\(267\) 4.43241 25.6673i 0.271259 1.57081i
\(268\) −58.2450 + 17.9662i −3.55788 + 1.09746i
\(269\) −24.2297 3.65204i −1.47731 0.222669i −0.639569 0.768734i \(-0.720887\pi\)
−0.837743 + 0.546065i \(0.816125\pi\)
\(270\) 48.7751 0.516937i 2.96836 0.0314598i
\(271\) 10.7791 + 10.0015i 0.654781 + 0.607548i 0.935960 0.352107i \(-0.114535\pi\)
−0.281178 + 0.959656i \(0.590725\pi\)
\(272\) −25.8350 23.9714i −1.56648 1.45348i
\(273\) 18.1934 + 8.75863i 1.10111 + 0.530096i
\(274\) −44.0955 + 40.9147i −2.66391 + 2.47175i
\(275\) 15.2804 0.921442
\(276\) 28.5207 1.52443i 1.71675 0.0917601i
\(277\) −4.71268 20.6476i −0.283157 1.24059i −0.893720 0.448626i \(-0.851914\pi\)
0.610562 0.791968i \(-0.290944\pi\)
\(278\) 0.530064 0.361391i 0.0317911 0.0216748i
\(279\) −6.38464 0.273438i −0.382239 0.0163703i
\(280\) 85.0722 + 17.4995i 5.08404 + 1.04579i
\(281\) 18.4254 2.77718i 1.09917 0.165673i 0.425682 0.904873i \(-0.360034\pi\)
0.673486 + 0.739200i \(0.264796\pi\)
\(282\) −5.04279 17.6833i −0.300294 1.05302i
\(283\) −21.6776 + 3.26737i −1.28860 + 0.194225i −0.757360 0.652997i \(-0.773511\pi\)
−0.531238 + 0.847222i \(0.678273\pi\)
\(284\) 29.7591 20.2894i 1.76588 1.20395i
\(285\) 20.2782 28.4166i 1.20118 1.68325i
\(286\) −2.03971 + 27.2181i −0.120611 + 1.60944i
\(287\) −1.03169 + 8.01143i −0.0608985 + 0.472900i
\(288\) 12.2079 + 66.4841i 0.719357 + 3.91761i
\(289\) −0.869882 + 11.6078i −0.0511695 + 0.682810i
\(290\) −3.10397 + 13.5994i −0.182271 + 0.798582i
\(291\) −7.13481 + 3.91815i −0.418250 + 0.229686i
\(292\) −21.2709 26.6729i −1.24479 1.56091i
\(293\) 6.92351 + 11.9919i 0.404476 + 0.700573i 0.994260 0.106988i \(-0.0341207\pi\)
−0.589785 + 0.807561i \(0.700787\pi\)
\(294\) 0.718820 + 33.1895i 0.0419225 + 1.93565i
\(295\) 7.60675 13.1753i 0.442882 0.767094i
\(296\) 29.3737 4.42738i 1.70731 0.257336i
\(297\) −9.64218 + 6.72471i −0.559496 + 0.390207i
\(298\) −5.35235 + 1.65098i −0.310053 + 0.0956388i
\(299\) −10.9211 7.44587i −0.631582 0.430606i
\(300\) −59.3455 24.7697i −3.42631 1.43008i
\(301\) 3.36459 + 1.84714i 0.193932 + 0.106468i
\(302\) 0.217372 + 0.148201i 0.0125083 + 0.00852804i
\(303\) −9.93953 0.959148i −0.571011 0.0551016i
\(304\) 80.6319 + 38.8303i 4.62456 + 2.22707i
\(305\) −13.2267 + 33.7010i −0.757356 + 1.92971i
\(306\) −12.4820 + 14.3469i −0.713550 + 0.820158i
\(307\) −16.4542 20.6329i −0.939092 1.17758i −0.983924 0.178589i \(-0.942847\pi\)
0.0448320 0.998995i \(-0.485725\pi\)
\(308\) −30.3628 + 12.6774i −1.73008 + 0.722362i
\(309\) 20.5058 + 1.97877i 1.16653 + 0.112568i
\(310\) 18.0162 + 8.67615i 1.02325 + 0.492772i
\(311\) −10.6249 3.27736i −0.602485 0.185842i −0.0215173 0.999768i \(-0.506850\pi\)
−0.580968 + 0.813926i \(0.697326\pi\)
\(312\) 33.1078 65.1449i 1.87436 3.68810i
\(313\) 11.6451 + 20.1699i 0.658221 + 1.14007i 0.981076 + 0.193623i \(0.0620240\pi\)
−0.322855 + 0.946448i \(0.604643\pi\)
\(314\) 0.938282 + 4.11088i 0.0529503 + 0.231990i
\(315\) 4.62727 26.8161i 0.260717 1.51091i
\(316\) 10.3251 45.2373i 0.580833 2.54479i
\(317\) 21.8826 6.74988i 1.22905 0.379111i 0.388805 0.921320i \(-0.372888\pi\)
0.840244 + 0.542209i \(0.182412\pi\)
\(318\) 27.4952 38.5299i 1.54185 2.16065i
\(319\) −1.22819 3.12938i −0.0687655 0.175212i
\(320\) 23.8387 104.444i 1.33262 5.83860i
\(321\) 3.12710 18.1085i 0.174538 1.01072i
\(322\) 2.77557 21.5533i 0.154676 1.20112i
\(323\) 3.02854 + 13.2689i 0.168513 + 0.738302i
\(324\) 48.3488 10.4871i 2.68605 0.582619i
\(325\) 14.8803 + 25.7734i 0.825408 + 1.42965i
\(326\) −10.5294 46.1324i −0.583171 2.55504i
\(327\) −23.0176 + 17.5635i −1.27288 + 0.971263i
\(328\) 28.9065 + 4.35696i 1.59610 + 0.240573i
\(329\) −10.2110 + 0.986651i −0.562949 + 0.0543958i
\(330\) 36.0290 7.41599i 1.98333 0.408237i
\(331\) 5.55674 5.15591i 0.305426 0.283394i −0.512536 0.858666i \(-0.671294\pi\)
0.817963 + 0.575271i \(0.195104\pi\)
\(332\) 2.79422 7.11955i 0.153353 0.390736i
\(333\) −1.68089 9.15410i −0.0921121 0.501642i
\(334\) 16.7280 + 42.6221i 0.915313 + 2.33218i
\(335\) 2.84092 37.9095i 0.155216 2.07122i
\(336\) 69.7612 0.00886170i 3.80579 0.000483445i
\(337\) −2.60277 34.7316i −0.141782 1.89195i −0.386400 0.922331i \(-0.626281\pi\)
0.244618 0.969620i \(-0.421338\pi\)
\(338\) −15.8250 + 7.62093i −0.860768 + 0.414524i
\(339\) 0.522008 + 0.434883i 0.0283516 + 0.0236196i
\(340\) 39.3099 18.9307i 2.13188 1.02666i
\(341\) −4.76537 + 0.718265i −0.258059 + 0.0388962i
\(342\) 19.5496 44.1560i 1.05712 2.38768i
\(343\) 18.2842 + 2.94726i 0.987256 + 0.159137i
\(344\) 6.94544 12.0299i 0.374473 0.648607i
\(345\) −5.61367 + 16.9058i −0.302230 + 0.910179i
\(346\) −1.73463 + 23.1470i −0.0932543 + 1.24439i
\(347\) −2.72692 2.53021i −0.146389 0.135829i 0.603579 0.797303i \(-0.293741\pi\)
−0.749968 + 0.661474i \(0.769931\pi\)
\(348\) −0.302752 + 14.1447i −0.0162292 + 0.758236i
\(349\) −13.4379 + 9.16183i −0.719316 + 0.490422i −0.866808 0.498642i \(-0.833832\pi\)
0.147492 + 0.989063i \(0.452880\pi\)
\(350\) −26.6860 + 41.0109i −1.42643 + 2.19213i
\(351\) −20.7322 9.71480i −1.10660 0.518538i
\(352\) 18.6233 + 47.4515i 0.992627 + 2.52917i
\(353\) −29.5155 14.2139i −1.57095 0.756529i −0.572940 0.819597i \(-0.694197\pi\)
−0.998009 + 0.0630681i \(0.979911\pi\)
\(354\) 6.63186 19.9722i 0.352480 1.06151i
\(355\) 4.99867 + 21.9006i 0.265302 + 1.16236i
\(356\) −30.2013 + 76.9517i −1.60067 + 4.07843i
\(357\) 6.61573 + 8.29370i 0.350142 + 0.438949i
\(358\) −6.91396 17.6165i −0.365414 0.931060i
\(359\) 18.5155 12.6237i 0.977211 0.666251i 0.0343406 0.999410i \(-0.489067\pi\)
0.942871 + 0.333159i \(0.108115\pi\)
\(360\) −96.6653 18.8314i −5.09471 0.992504i
\(361\) −7.78049 13.4762i −0.409499 0.709274i
\(362\) 31.7372 + 54.9704i 1.66807 + 2.88918i
\(363\) 7.08745 7.31794i 0.371994 0.384092i
\(364\) −50.9507 38.8674i −2.67054 2.03721i
\(365\) 20.3325 6.27174i 1.06425 0.328278i
\(366\) −8.52194 + 49.3491i −0.445449 + 2.57952i
\(367\) 5.26015 6.59602i 0.274578 0.344309i −0.625353 0.780342i \(-0.715045\pi\)
0.899931 + 0.436032i \(0.143617\pi\)
\(368\) −45.1563 6.80622i −2.35394 0.354799i
\(369\) 1.07464 9.09586i 0.0559436 0.473511i
\(370\) −6.48047 + 28.3928i −0.336904 + 1.47607i
\(371\) −18.3739 18.9666i −0.953926 0.984699i
\(372\) 19.6719 + 4.93516i 1.01994 + 0.255876i
\(373\) −28.4462 −1.47289 −0.736444 0.676498i \(-0.763497\pi\)
−0.736444 + 0.676498i \(0.763497\pi\)
\(374\) −7.17043 + 12.4196i −0.370774 + 0.642200i
\(375\) 7.24695 7.48263i 0.374231 0.386401i
\(376\) 2.77443 + 37.0222i 0.143080 + 1.90927i
\(377\) 4.08228 5.11902i 0.210248 0.263643i
\(378\) −1.20907 37.6228i −0.0621879 1.93511i
\(379\) 20.2233 + 25.3592i 1.03880 + 1.30262i 0.951904 + 0.306398i \(0.0991238\pi\)
0.0868973 + 0.996217i \(0.472305\pi\)
\(380\) −81.2177 + 75.3590i −4.16638 + 3.86584i
\(381\) 0.117686 0.354416i 0.00602922 0.0181573i
\(382\) 15.2272 10.3817i 0.779092 0.531176i
\(383\) 10.7393 13.4666i 0.548752 0.688113i −0.427682 0.903929i \(-0.640670\pi\)
0.976434 + 0.215816i \(0.0692412\pi\)
\(384\) 1.50087 70.1216i 0.0765912 3.57838i
\(385\) −0.441743 20.5166i −0.0225133 1.04562i
\(386\) −8.38276 4.03693i −0.426671 0.205474i
\(387\) −3.83681 2.05440i −0.195036 0.104431i
\(388\) 24.6858 7.61456i 1.25323 0.386571i
\(389\) −18.7629 + 9.03572i −0.951315 + 0.458129i −0.844147 0.536112i \(-0.819893\pi\)
−0.107168 + 0.994241i \(0.534178\pi\)
\(390\) 47.5941 + 53.5481i 2.41002 + 2.71152i
\(391\) −3.47242 6.01440i −0.175608 0.304161i
\(392\) 12.0882 65.9264i 0.610545 3.32978i
\(393\) −8.91179 13.6918i −0.449540 0.690659i
\(394\) 1.51060 3.84894i 0.0761027 0.193907i
\(395\) 23.9110 + 16.3023i 1.20310 + 0.820257i
\(396\) 34.2758 14.7345i 1.72242 0.740438i
\(397\) −1.72283 + 22.9895i −0.0864663 + 1.15381i 0.770152 + 0.637861i \(0.220181\pi\)
−0.856618 + 0.515951i \(0.827438\pi\)
\(398\) 24.0745 16.4137i 1.20675 0.822746i
\(399\) −22.2611 15.1732i −1.11445 0.759610i
\(400\) 84.9537 + 57.9205i 4.24769 + 2.89602i
\(401\) −11.1394 + 13.9683i −0.556274 + 0.697546i −0.977864 0.209241i \(-0.932901\pi\)
0.421590 + 0.906787i \(0.361472\pi\)
\(402\) −6.72306 52.1548i −0.335316 2.60124i
\(403\) −5.85208 7.33828i −0.291513 0.365546i
\(404\) 30.2837 + 9.34128i 1.50667 + 0.464746i
\(405\) −4.92817 + 30.4598i −0.244882 + 1.51356i
\(406\) 10.5439 + 2.16889i 0.523283 + 0.107640i
\(407\) −2.56422 6.53353i −0.127104 0.323855i
\(408\) 30.5236 23.2909i 1.51114 1.15307i
\(409\) 19.8147 + 6.11202i 0.979773 + 0.302220i 0.742960 0.669335i \(-0.233421\pi\)
0.236812 + 0.971555i \(0.423897\pi\)
\(410\) −14.3299 + 24.8201i −0.707703 + 1.22578i
\(411\) −20.7577 31.8914i −1.02390 1.57309i
\(412\) −62.4768 19.2716i −3.07801 0.949441i
\(413\) −10.2915 5.64996i −0.506410 0.278016i
\(414\) −2.89113 + 24.4708i −0.142091 + 1.20267i
\(415\) 3.49676 + 3.24452i 0.171649 + 0.159267i
\(416\) −61.9005 + 77.6208i −3.03492 + 3.80567i
\(417\) 0.168216 + 0.369320i 0.00823759 + 0.0180857i
\(418\) 8.10345 35.5035i 0.396353 1.73653i
\(419\) 31.6886 9.77464i 1.54809 0.477523i 0.601205 0.799095i \(-0.294687\pi\)
0.946885 + 0.321572i \(0.104211\pi\)
\(420\) −31.5421 + 80.3980i −1.53910 + 3.92302i
\(421\) 23.2281 + 7.16493i 1.13207 + 0.349197i 0.803513 0.595287i \(-0.202962\pi\)
0.328556 + 0.944484i \(0.393438\pi\)
\(422\) −16.4762 + 28.5377i −0.802051 + 1.38919i
\(423\) 11.5658 1.23993i 0.562349 0.0602873i
\(424\) −70.0564 + 65.0028i −3.40224 + 3.15682i
\(425\) 1.16852 + 15.5929i 0.0566818 + 0.756365i
\(426\) 12.8802 + 28.2785i 0.624046 + 1.37010i
\(427\) 26.2210 + 9.64492i 1.26892 + 0.466750i
\(428\) −21.3073 + 54.2901i −1.02993 + 2.62421i
\(429\) −16.7470 4.20136i −0.808551 0.202844i
\(430\) 8.49098 + 10.6474i 0.409472 + 0.513461i
\(431\) 1.26642 + 16.8993i 0.0610015 + 0.814008i 0.940865 + 0.338782i \(0.110015\pi\)
−0.879863 + 0.475227i \(0.842366\pi\)
\(432\) −79.0973 + 0.838305i −3.80557 + 0.0403329i
\(433\) 0.492507 0.237179i 0.0236684 0.0113981i −0.422012 0.906590i \(-0.638676\pi\)
0.445681 + 0.895192i \(0.352962\pi\)
\(434\) 6.39462 14.0442i 0.306952 0.674141i
\(435\) −8.14311 3.39878i −0.390432 0.162959i
\(436\) 82.7890 39.8691i 3.96487 1.90938i
\(437\) 12.9277 + 11.9951i 0.618414 + 0.573804i
\(438\) 25.7988 14.1677i 1.23272 0.676959i
\(439\) 6.19048 15.7731i 0.295456 0.752808i −0.703651 0.710546i \(-0.748448\pi\)
0.999107 0.0422626i \(-0.0134566\pi\)
\(440\) −74.2676 −3.54057
\(441\) −20.7662 3.12461i −0.988869 0.148791i
\(442\) −27.9307 −1.32853
\(443\) 7.71227 19.6505i 0.366421 0.933626i −0.622154 0.782895i \(-0.713742\pi\)
0.988575 0.150731i \(-0.0481626\pi\)
\(444\) −0.632086 + 29.5314i −0.0299975 + 1.40150i
\(445\) −37.7948 35.0684i −1.79164 1.66240i
\(446\) 8.67381 4.17708i 0.410717 0.197791i
\(447\) −0.452993 3.51414i −0.0214258 0.166213i
\(448\) −80.9776 16.6572i −3.82583 0.786980i
\(449\) 31.0870 14.9707i 1.46709 0.706511i 0.481619 0.876381i \(-0.340049\pi\)
0.985466 + 0.169870i \(0.0543347\pi\)
\(450\) 29.7705 46.8163i 1.40340 2.20694i
\(451\) −0.516166 6.88776i −0.0243053 0.324332i
\(452\) −1.34442 1.68585i −0.0632363 0.0792958i
\(453\) −0.115781 + 0.119547i −0.00543987 + 0.00561679i
\(454\) −18.2327 + 46.4562i −0.855703 + 2.18030i
\(455\) 34.1751 20.7245i 1.60216 0.971578i
\(456\) −56.6338 + 79.3628i −2.65212 + 3.71650i
\(457\) −1.00833 13.4553i −0.0471678 0.629411i −0.969827 0.243794i \(-0.921608\pi\)
0.922659 0.385616i \(-0.126011\pi\)
\(458\) 44.5789 41.3632i 2.08303 1.93277i
\(459\) −7.59959 9.32511i −0.354719 0.435259i
\(460\) 28.2674 48.9605i 1.31797 2.28280i
\(461\) −15.2485 4.70353i −0.710192 0.219065i −0.0814481 0.996678i \(-0.525954\pi\)
−0.628744 + 0.777612i \(0.716431\pi\)
\(462\) −6.32016 27.6742i −0.294040 1.28752i
\(463\) 17.3496 5.35164i 0.806304 0.248712i 0.135914 0.990721i \(-0.456603\pi\)
0.670390 + 0.742009i \(0.266127\pi\)
\(464\) 5.03363 22.0538i 0.233680 1.02382i
\(465\) −7.34768 + 10.2966i −0.340741 + 0.477491i
\(466\) −37.2404 + 46.6979i −1.72513 + 2.16324i
\(467\) 0.0759212 + 0.0704446i 0.00351321 + 0.00325979i 0.681927 0.731420i \(-0.261142\pi\)
−0.678414 + 0.734680i \(0.737332\pi\)
\(468\) 58.2309 + 43.4642i 2.69172 + 2.00913i
\(469\) −29.2955 1.56211i −1.35274 0.0721316i
\(470\) −34.7809 10.7285i −1.60432 0.494868i
\(471\) −2.66354 + 0.142366i −0.122729 + 0.00655989i
\(472\) −21.2444 + 36.7964i −0.977853 + 1.69369i
\(473\) −3.13627 0.967412i −0.144206 0.0444816i
\(474\) 36.9428 + 15.4192i 1.69684 + 0.708228i
\(475\) −14.5065 36.9621i −0.665606 1.69594i
\(476\) −15.2586 30.0143i −0.699375 1.37570i
\(477\) 21.0581 + 21.2868i 0.964184 + 0.974656i
\(478\) −33.0630 10.1986i −1.51227 0.466472i
\(479\) −9.12724 11.4452i −0.417034 0.522945i 0.528295 0.849061i \(-0.322831\pi\)
−0.945330 + 0.326116i \(0.894260\pi\)
\(480\) 123.476 + 51.5364i 5.63587 + 2.35231i
\(481\) 8.52300 10.6875i 0.388615 0.487308i
\(482\) −5.34931 3.64710i −0.243654 0.166121i
\(483\) 13.1366 + 4.05027i 0.597736 + 0.184294i
\(484\) −26.7139 + 18.2132i −1.21427 + 0.827874i
\(485\) −1.20406 + 16.0671i −0.0546736 + 0.729568i
\(486\) 1.81757 + 42.6435i 0.0824466 + 1.93435i
\(487\) −9.27871 6.32612i −0.420459 0.286664i 0.334551 0.942378i \(-0.391415\pi\)
−0.755009 + 0.655714i \(0.772368\pi\)
\(488\) 36.9399 94.1213i 1.67219 4.26067i
\(489\) 29.8903 1.59764i 1.35169 0.0722477i
\(490\) 55.8360 + 34.6452i 2.52241 + 1.56511i
\(491\) 3.96681 + 6.87071i 0.179019 + 0.310071i 0.941545 0.336887i \(-0.109374\pi\)
−0.762525 + 0.646958i \(0.776041\pi\)
\(492\) −9.16048 + 27.5872i −0.412986 + 1.24373i
\(493\) 3.09945 1.49262i 0.139592 0.0672242i
\(494\) 67.7749 20.9058i 3.04934 0.940595i
\(495\) 0.744451 + 23.2572i 0.0334606 + 1.04533i
\(496\) −29.2164 14.0699i −1.31186 0.631757i
\(497\) 16.8139 4.22042i 0.754207 0.189312i
\(498\) 5.64249 + 3.42074i 0.252846 + 0.153287i
\(499\) 17.7529 22.2614i 0.794729 0.996558i −0.205113 0.978738i \(-0.565756\pi\)
0.999841 0.0178198i \(-0.00567253\pi\)
\(500\) −27.3151 + 18.6231i −1.22157 + 0.832851i
\(501\) −28.3694 + 5.83939i −1.26745 + 0.260885i
\(502\) −7.09278 + 6.58114i −0.316566 + 0.293730i
\(503\) 2.73585 + 3.43065i 0.121986 + 0.152965i 0.839074 0.544017i \(-0.183097\pi\)
−0.717089 + 0.696982i \(0.754526\pi\)
\(504\) −12.9232 + 74.8929i −0.575646 + 3.33599i
\(505\) −12.3238 + 15.4535i −0.548400 + 0.687672i
\(506\) 1.38865 + 18.5303i 0.0617332 + 0.823772i
\(507\) −3.04706 10.6850i −0.135325 0.474536i
\(508\) −0.592600 + 1.02641i −0.0262924 + 0.0455397i
\(509\) −1.22627 −0.0543535 −0.0271768 0.999631i \(-0.508652\pi\)
−0.0271768 + 0.999631i \(0.508652\pi\)
\(510\) 10.3229 + 36.1987i 0.457104 + 1.60290i
\(511\) −5.17659 15.5829i −0.228999 0.689347i
\(512\) −11.4555 + 50.1900i −0.506268 + 2.21810i
\(513\) 25.4204 + 16.9395i 1.12234 + 0.747899i
\(514\) −28.2200 4.25349i −1.24473 0.187613i
\(515\) 25.4246 31.8814i 1.12034 1.40486i
\(516\) 10.6124 + 8.84114i 0.467184 + 0.389210i
\(517\) 8.38227 2.58559i 0.368652 0.113714i
\(518\) 22.0135 + 4.52822i 0.967219 + 0.198958i
\(519\) −14.2421 3.57296i −0.625159 0.156835i
\(520\) −72.3228 125.267i −3.17157 5.49331i
\(521\) 3.95291 + 6.84664i 0.173180 + 0.299957i 0.939530 0.342467i \(-0.111262\pi\)
−0.766350 + 0.642424i \(0.777929\pi\)
\(522\) −11.9807 2.33397i −0.524382 0.102155i
\(523\) 15.9591 10.8807i 0.697842 0.475780i −0.161704 0.986839i \(-0.551699\pi\)
0.859546 + 0.511059i \(0.170747\pi\)
\(524\) 18.9420 + 48.2635i 0.827487 + 2.10840i
\(525\) −22.6918 21.0495i −0.990349 0.918676i
\(526\) 26.3572 67.1570i 1.14923 2.92818i
\(527\) −1.09737 4.80790i −0.0478023 0.209435i
\(528\) −58.4273 + 12.0263i −2.54272 + 0.523379i
\(529\) 12.6146 + 6.07489i 0.548463 + 0.264126i
\(530\) −34.2302 87.2173i −1.48687 3.78848i
\(531\) 11.7359 + 6.28391i 0.509293 + 0.272699i
\(532\) 59.4908 + 61.4100i 2.57925 + 2.66246i
\(533\) 11.1149 7.57801i 0.481440 0.328240i
\(534\) −60.9869 36.9730i −2.63916 1.59998i
\(535\) −26.6645 24.7411i −1.15281 1.06965i
\(536\) −7.93423 + 105.875i −0.342707 + 4.57310i
\(537\) 11.7256 2.41352i 0.505996 0.104151i
\(538\) −33.5460 + 58.1033i −1.44627 + 2.50501i
\(539\) −15.8218 + 0.681635i −0.681495 + 0.0293601i
\(540\) 34.8089 91.5322i 1.49794 3.93892i
\(541\) 28.4760 4.29206i 1.22428 0.184530i 0.495088 0.868843i \(-0.335136\pi\)
0.729189 + 0.684313i \(0.239898\pi\)
\(542\) 36.2744 17.4688i 1.55812 0.750350i
\(543\) −37.6824 + 13.8662i −1.61711 + 0.595057i
\(544\) −46.9977 + 22.6329i −2.01501 + 0.970377i
\(545\) 4.28280 + 57.1500i 0.183455 + 2.44804i
\(546\) 40.5233 37.6097i 1.73424 1.60955i
\(547\) −3.16862 + 42.2823i −0.135480 + 1.80786i 0.353360 + 0.935487i \(0.385039\pi\)
−0.488841 + 0.872373i \(0.662580\pi\)
\(548\) 44.1206 + 112.417i 1.88474 + 4.80223i
\(549\) −29.8447 10.6244i −1.27374 0.453438i
\(550\) 15.2854 38.9466i 0.651772 1.66069i
\(551\) −6.40374 + 5.94180i −0.272808 + 0.253129i
\(552\) 15.6781 47.2152i 0.667303 2.00961i
\(553\) 12.1805 18.7189i 0.517966 0.796008i
\(554\) −57.3407 8.64272i −2.43617 0.367194i
\(555\) −17.0012 7.09598i −0.721661 0.301208i
\(556\) −0.286600 1.25568i −0.0121545 0.0532526i
\(557\) 19.3915 + 33.5871i 0.821645 + 1.42313i 0.904457 + 0.426565i \(0.140276\pi\)
−0.0828123 + 0.996565i \(0.526390\pi\)
\(558\) −7.08368 + 15.9996i −0.299876 + 0.677318i
\(559\) −1.42242 6.23201i −0.0601618 0.263586i
\(560\) 75.3126 115.740i 3.18254 4.89091i
\(561\) −6.96993 5.80663i −0.294271 0.245156i
\(562\) 11.3530 49.7407i 0.478897 2.09818i
\(563\) −10.4353 26.5887i −0.439796 1.12058i −0.963269 0.268540i \(-0.913459\pi\)
0.523473 0.852042i \(-0.324636\pi\)
\(564\) −36.7461 3.54593i −1.54729 0.149311i
\(565\) 1.28511 0.396403i 0.0540649 0.0166768i
\(566\) −13.3568 + 58.5202i −0.561430 + 2.45979i
\(567\) 23.5825 + 3.29623i 0.990372 + 0.138429i
\(568\) −13.9605 61.1648i −0.585768 2.56642i
\(569\) 21.9979 + 38.1015i 0.922199 + 1.59730i 0.796004 + 0.605291i \(0.206943\pi\)
0.126195 + 0.992005i \(0.459723\pi\)
\(570\) −52.1431 80.1110i −2.18403 3.35548i
\(571\) 0.123402 + 0.0380646i 0.00516422 + 0.00159295i 0.297336 0.954773i \(-0.403902\pi\)
−0.292172 + 0.956366i \(0.594378\pi\)
\(572\) 49.3703 + 23.7755i 2.06428 + 0.994104i
\(573\) 4.83238 + 10.6095i 0.201875 + 0.443219i
\(574\) 19.3875 + 10.6436i 0.809217 + 0.444256i
\(575\) 12.6326 + 15.8408i 0.526818 + 0.660608i
\(576\) 92.0127 + 17.9251i 3.83386 + 0.746878i
\(577\) −1.96934 + 5.01780i −0.0819848 + 0.208894i −0.965988 0.258587i \(-0.916743\pi\)
0.884003 + 0.467481i \(0.154838\pi\)
\(578\) 28.7157 + 13.8287i 1.19441 + 0.575199i
\(579\) 3.41880 4.79088i 0.142081 0.199102i
\(580\) 23.1385 + 15.7755i 0.960772 + 0.655043i
\(581\) 2.44515 2.75175i 0.101442 0.114162i
\(582\) 2.84942 + 22.1046i 0.118112 + 0.916265i
\(583\) 18.6569 + 12.7200i 0.772688 + 0.526810i
\(584\) −56.7853 + 17.5159i −2.34979 + 0.724815i
\(585\) −38.5028 + 23.9038i −1.59189 + 0.988301i
\(586\) 37.4906 5.65080i 1.54872 0.233432i
\(587\) −11.9568 + 20.7097i −0.493509 + 0.854783i −0.999972 0.00747892i \(-0.997619\pi\)
0.506463 + 0.862262i \(0.330953\pi\)
\(588\) 62.5533 + 23.0001i 2.57966 + 0.948508i
\(589\) 6.26147 + 10.8452i 0.257999 + 0.446868i
\(590\) −25.9718 32.5676i −1.06924 1.34079i
\(591\) 2.23665 + 1.35596i 0.0920033 + 0.0557766i
\(592\) 10.5092 46.0439i 0.431926 1.89239i
\(593\) 1.49623 19.9657i 0.0614426 0.819895i −0.878321 0.478071i \(-0.841336\pi\)
0.939764 0.341824i \(-0.111045\pi\)
\(594\) 7.49456 + 31.3029i 0.307506 + 1.28437i
\(595\) 20.9024 2.01973i 0.856916 0.0828008i
\(596\) −0.840348 + 11.2137i −0.0344220 + 0.459329i
\(597\) 7.64008 + 16.7738i 0.312688 + 0.686508i
\(598\) −29.9027 + 20.3873i −1.22281 + 0.833698i
\(599\) 14.6191 2.20348i 0.597322 0.0900318i 0.156580 0.987665i \(-0.449953\pi\)
0.440743 + 0.897634i \(0.354715\pi\)
\(600\) −77.9290 + 80.4634i −3.18144 + 3.28490i
\(601\) 42.5394 6.41179i 1.73522 0.261542i 0.796108 0.605155i \(-0.206889\pi\)
0.939111 + 0.343613i \(0.111651\pi\)
\(602\) 8.07369 6.72791i 0.329059 0.274209i
\(603\) 33.2347 + 1.42335i 1.35342 + 0.0579634i
\(604\) 0.436401 0.297533i 0.0177569 0.0121064i
\(605\) −4.48716 19.6595i −0.182429 0.799274i
\(606\) −12.3875 + 24.3744i −0.503206 + 0.990141i
\(607\) −6.87165 −0.278912 −0.139456 0.990228i \(-0.544535\pi\)
−0.139456 + 0.990228i \(0.544535\pi\)
\(608\) 97.1013 90.0968i 3.93798 3.65391i
\(609\) −2.48699 + 6.33910i −0.100778 + 0.256873i
\(610\) 72.6659 + 67.4241i 2.94216 + 2.72992i
\(611\) 12.5239 + 11.6205i 0.506662 + 0.470113i
\(612\) 17.6570 + 33.8500i 0.713742 + 1.36830i
\(613\) 13.2245 + 1.99327i 0.534133 + 0.0805075i 0.410570 0.911829i \(-0.365330\pi\)
0.123563 + 0.992337i \(0.460568\pi\)
\(614\) −69.0487 + 21.2987i −2.78658 + 0.859546i
\(615\) −13.9292 11.6044i −0.561679 0.467934i
\(616\) 1.23372 + 57.2996i 0.0497078 + 2.30867i
\(617\) 2.15543 1.99995i 0.0867745 0.0805150i −0.635593 0.772024i \(-0.719244\pi\)
0.722368 + 0.691509i \(0.243054\pi\)
\(618\) 25.5560 50.2856i 1.02801 2.02278i
\(619\) −14.6241 −0.587791 −0.293895 0.955838i \(-0.594952\pi\)
−0.293895 + 0.955838i \(0.594952\pi\)
\(620\) 29.4287 27.3058i 1.18189 1.09663i
\(621\) −14.9428 4.43636i −0.599633 0.178025i
\(622\) −18.9818 + 23.8024i −0.761099 + 0.954388i
\(623\) −26.4285 + 29.7423i −1.05883 + 1.19160i
\(624\) −77.1821 86.8377i −3.08976 3.47629i
\(625\) 2.92659 + 12.8222i 0.117063 + 0.512888i
\(626\) 63.0580 9.50446i 2.52030 0.379875i
\(627\) 21.2590 + 8.87311i 0.849003 + 0.354358i
\(628\) 8.37080 + 1.26170i 0.334031 + 0.0503471i
\(629\) 6.47105 3.11629i 0.258018 0.124255i
\(630\) −63.7199 38.6188i −2.53866 1.53861i
\(631\) 7.98604 + 3.84587i 0.317919 + 0.153102i 0.586037 0.810284i \(-0.300687\pi\)
−0.268118 + 0.963386i \(0.586402\pi\)
\(632\) −66.7796 45.5296i −2.65635 1.81107i
\(633\) −16.0155 13.3425i −0.636560 0.530317i
\(634\) 4.68570 62.5263i 0.186093 2.48324i
\(635\) −0.460883 0.577928i −0.0182896 0.0229344i
\(636\) −51.8396 79.6447i −2.05557 3.15812i
\(637\) −16.5572 26.0228i −0.656022 1.03106i
\(638\) −9.20474 −0.364419
\(639\) −19.0140 + 4.98488i −0.752183 + 0.197199i
\(640\) −114.708 78.2064i −4.53422 3.09138i
\(641\) −9.22618 + 40.4225i −0.364412 + 1.59659i 0.377443 + 0.926033i \(0.376804\pi\)
−0.741855 + 0.670561i \(0.766054\pi\)
\(642\) −43.0268 26.0848i −1.69813 1.02948i
\(643\) −2.58025 34.4310i −0.101755 1.35783i −0.781283 0.624177i \(-0.785434\pi\)
0.679528 0.733650i \(-0.262185\pi\)
\(644\) −38.2440 20.9958i −1.50703 0.827349i
\(645\) −7.55110 + 4.14676i −0.297324 + 0.163279i
\(646\) 36.8493 + 5.55413i 1.44981 + 0.218524i
\(647\) 0.278907 + 3.72175i 0.0109650 + 0.146317i 0.999999 0.00137013i \(-0.000436127\pi\)
−0.989034 + 0.147687i \(0.952817\pi\)
\(648\) 13.7636 85.0693i 0.540684 3.34184i
\(649\) 9.59308 + 2.95907i 0.376561 + 0.116154i
\(650\) 80.5761 12.1449i 3.16046 0.476362i
\(651\) 8.06615 + 5.49791i 0.316137 + 0.215480i
\(652\) −93.9374 14.1588i −3.67887 0.554501i
\(653\) 3.32430 + 1.60090i 0.130090 + 0.0626480i 0.497796 0.867294i \(-0.334143\pi\)
−0.367707 + 0.929942i \(0.619857\pi\)
\(654\) 21.7405 + 76.2365i 0.850123 + 2.98108i
\(655\) −32.3368 −1.26350
\(656\) 23.2384 40.2501i 0.907308 1.57150i
\(657\) 6.05439 + 17.6069i 0.236204 + 0.686912i
\(658\) −7.69956 + 27.0127i −0.300160 + 1.05306i
\(659\) −32.0339 29.7231i −1.24786 1.15785i −0.980978 0.194118i \(-0.937816\pi\)
−0.266884 0.963729i \(-0.585994\pi\)
\(660\) 12.5668 72.7720i 0.489161 2.83265i
\(661\) −1.07350 2.73525i −0.0417545 0.106389i 0.908475 0.417938i \(-0.137247\pi\)
−0.950230 + 0.311550i \(0.899152\pi\)
\(662\) −7.58278 19.3206i −0.294713 0.750917i
\(663\) 3.00660 17.4107i 0.116767 0.676177i
\(664\) −9.76588 9.06141i −0.378990 0.351651i
\(665\) −49.2088 + 20.5462i −1.90824 + 0.796746i
\(666\) −25.0134 4.87287i −0.969249 0.188820i
\(667\) 2.22878 3.86037i 0.0862989 0.149474i
\(668\) 91.9236 3.55663
\(669\) 1.67011 + 5.85651i 0.0645704 + 0.226426i
\(670\) −93.7817 45.1629i −3.62310 1.74479i
\(671\) −23.6232 3.56063i −0.911965 0.137457i
\(672\) 37.7107 96.1212i 1.45472 3.70796i
\(673\) −18.2059 + 2.74410i −0.701787 + 0.105777i −0.490236 0.871590i \(-0.663090\pi\)
−0.211551 + 0.977367i \(0.567851\pi\)
\(674\) −91.1274 28.1091i −3.51010 1.08272i
\(675\) 25.9785 + 23.5972i 0.999914 + 0.908256i
\(676\) 2.63520 + 35.1642i 0.101354 + 1.35247i
\(677\) 17.5865 + 2.65074i 0.675904 + 0.101876i 0.478020 0.878349i \(-0.341355\pi\)
0.197885 + 0.980225i \(0.436593\pi\)
\(678\) 1.63061 0.895464i 0.0626231 0.0343901i
\(679\) 12.4162 + 0.662065i 0.476490 + 0.0254077i
\(680\) −5.67941 75.7864i −0.217795 2.90628i
\(681\) −26.9960 16.3662i −1.03449 0.627156i
\(682\) −2.93623 + 12.8645i −0.112434 + 0.492606i
\(683\) 16.7115 + 11.3937i 0.639449 + 0.435969i 0.839159 0.543886i \(-0.183048\pi\)
−0.199710 + 0.979855i \(0.564000\pi\)
\(684\) −68.1817 68.9222i −2.60699 2.63531i
\(685\) −75.3203 −2.87784
\(686\) 25.8022 43.6546i 0.985133 1.66674i
\(687\) 20.9852 + 32.2410i 0.800637 + 1.23007i
\(688\) −13.7696 17.2666i −0.524962 0.658281i
\(689\) −3.28651 + 43.8554i −0.125206 + 1.67076i
\(690\) 37.4740 + 31.2195i 1.42661 + 1.18851i
\(691\) −22.0971 15.0655i −0.840613 0.573120i 0.0646807 0.997906i \(-0.479397\pi\)
−0.905294 + 0.424786i \(0.860349\pi\)
\(692\) 41.9859 + 20.2194i 1.59607 + 0.768625i
\(693\) 17.9312 0.960708i 0.681150 0.0364943i
\(694\) −9.17680 + 4.41932i −0.348347 + 0.167755i
\(695\) 0.794322 + 0.119725i 0.0301304 + 0.00454142i
\(696\) 22.7424 + 9.49224i 0.862047 + 0.359802i
\(697\) 6.98915 1.05344i 0.264733 0.0399020i
\(698\) 9.90928 + 43.4154i 0.375072 + 1.64330i
\(699\) −25.1007 28.2408i −0.949394 1.06816i
\(700\) 57.0698 + 79.9523i 2.15703 + 3.02191i
\(701\) 23.4650 29.4242i 0.886262 1.11134i −0.106862 0.994274i \(-0.534080\pi\)
0.993124 0.117064i \(-0.0373482\pi\)
\(702\) −45.5001 + 43.1242i −1.71729 + 1.62762i
\(703\) −13.3697 + 12.4053i −0.504249 + 0.467875i
\(704\) 70.6931 2.66435
\(705\) 10.4316 20.5260i 0.392878 0.773052i
\(706\) −65.7535 + 61.0103i −2.47466 + 2.29615i
\(707\) 12.1276 + 9.25143i 0.456104 + 0.347936i
\(708\) −32.4606 27.0429i −1.21995 1.01633i
\(709\) −16.0209 + 4.94179i −0.601677 + 0.185593i −0.580605 0.814185i \(-0.697184\pi\)
−0.0210717 + 0.999778i \(0.506708\pi\)
\(710\) 60.8204 + 9.16721i 2.28255 + 0.344039i
\(711\) −13.5884 + 21.3687i −0.509603 + 0.801387i
\(712\) 105.555 + 97.9403i 3.95582 + 3.67047i
\(713\) −4.68425 4.34635i −0.175427 0.162772i
\(714\) 27.7569 8.56572i 1.03877 0.320564i
\(715\) −25.0530 + 23.2458i −0.936930 + 0.869344i
\(716\) −37.9937 −1.41989
\(717\) 9.91641 19.5122i 0.370335 0.728695i
\(718\) −13.6535 59.8201i −0.509546 2.23246i
\(719\) −18.2861 + 12.4673i −0.681957 + 0.464950i −0.854091 0.520123i \(-0.825886\pi\)
0.172135 + 0.985073i \(0.444934\pi\)
\(720\) −84.0176 + 132.124i −3.13115 + 4.92396i
\(721\) −25.0198 19.0862i −0.931786 0.710807i
\(722\) −42.1311 + 6.35024i −1.56796 + 0.236332i
\(723\) 2.84926 2.94193i 0.105965 0.109411i
\(724\) 126.009 18.9929i 4.68310 0.705864i
\(725\) −8.29247 + 5.65371i −0.307975 + 0.209974i
\(726\) −11.5622 25.3848i −0.429112 0.942118i
\(727\) 3.30965 44.1643i 0.122748 1.63796i −0.507560 0.861616i \(-0.669452\pi\)
0.630308 0.776345i \(-0.282929\pi\)
\(728\) −95.4456 + 57.8801i −3.53745 + 2.14518i
\(729\) −26.7777 3.45738i −0.991768 0.128051i
\(730\) 4.35378 58.0971i 0.161141 2.15027i
\(731\) 0.747358 3.27439i 0.0276420 0.121108i
\(732\) 85.9754 + 52.1222i 3.17774 + 1.92649i
\(733\) −5.19238 6.51104i −0.191785 0.240491i 0.676637 0.736317i \(-0.263437\pi\)
−0.868422 + 0.495826i \(0.834865\pi\)
\(734\) −11.5500 20.0052i −0.426319 0.738407i
\(735\) −27.6067 + 31.0763i −1.01829 + 1.14626i
\(736\) −33.7955 + 58.5356i −1.24572 + 2.15765i
\(737\) 24.8057 3.73886i 0.913730 0.137723i
\(738\) −22.1085 11.8379i −0.813825 0.435759i
\(739\) 26.5523 8.19029i 0.976741 0.301285i 0.235018 0.971991i \(-0.424485\pi\)
0.741723 + 0.670706i \(0.234009\pi\)
\(740\) 48.3086 + 32.9362i 1.77586 + 1.21076i
\(741\) 5.73609 + 44.4982i 0.210720 + 1.63468i
\(742\) −66.7220 + 27.8585i −2.44944 + 1.02272i
\(743\) −38.4038 26.1833i −1.40890 0.960571i −0.998822 0.0485207i \(-0.984549\pi\)
−0.410077 0.912051i \(-0.634498\pi\)
\(744\) 20.5209 28.7566i 0.752332 1.05427i
\(745\) −6.31892 3.04303i −0.231507 0.111488i
\(746\) −28.4555 + 72.5035i −1.04183 + 2.65454i
\(747\) −2.73972 + 3.14905i −0.100241 + 0.115218i
\(748\) 17.9510 + 22.5098i 0.656352 + 0.823039i
\(749\) −18.6455 + 20.9834i −0.681292 + 0.766718i
\(750\) −11.8224 25.9561i −0.431692 0.947782i
\(751\) −2.10691 1.01464i −0.0768824 0.0370246i 0.395047 0.918661i \(-0.370728\pi\)
−0.471930 + 0.881636i \(0.656442\pi\)
\(752\) 56.4033 + 17.3981i 2.05682 + 0.634444i
\(753\) −3.33888 5.12975i −0.121676 0.186938i
\(754\) −8.96371 15.5256i −0.326439 0.565409i
\(755\) 0.0733027 + 0.321160i 0.00266776 + 0.0116882i
\(756\) −71.1980 25.3355i −2.58945 0.921445i
\(757\) 8.49306 37.2105i 0.308685 1.35244i −0.547947 0.836513i \(-0.684591\pi\)
0.856633 0.515927i \(-0.172552\pi\)
\(758\) 84.8654 26.1775i 3.08245 0.950810i
\(759\) −11.7004 1.12907i −0.424699 0.0409827i
\(760\) 70.5065 + 179.648i 2.55754 + 6.51651i
\(761\) −0.880281 + 3.85676i −0.0319101 + 0.139807i −0.988374 0.152044i \(-0.951414\pi\)
0.956464 + 0.291852i \(0.0942715\pi\)
\(762\) −0.785609 0.654489i −0.0284596 0.0237096i
\(763\) 44.0217 4.25366i 1.59369 0.153993i
\(764\) −8.23320 36.0720i −0.297867 1.30504i
\(765\) −23.6758 + 2.53820i −0.856002 + 0.0917688i
\(766\) −23.5809 40.8433i −0.852012 1.47573i
\(767\) 4.35082 + 19.0622i 0.157099 + 0.688296i
\(768\) −77.3317 32.2768i −2.79047 1.16469i
\(769\) 37.0377 + 5.58254i 1.33562 + 0.201312i 0.777726 0.628604i \(-0.216373\pi\)
0.557890 + 0.829915i \(0.311611\pi\)
\(770\) −52.7346 19.3975i −1.90042 0.699036i
\(771\) 5.68918 17.1332i 0.204891 0.617038i
\(772\) −13.6929 + 12.7051i −0.492818 + 0.457268i
\(773\) 6.05054 15.4165i 0.217623 0.554494i −0.779817 0.626008i \(-0.784688\pi\)
0.997440 + 0.0715140i \(0.0227831\pi\)
\(774\) −9.07433 + 7.72417i −0.326170 + 0.277640i
\(775\) 5.25635 + 13.3930i 0.188814 + 0.481089i
\(776\) 3.36274 44.8727i 0.120715 1.61084i
\(777\) −5.19234 + 13.2348i −0.186274 + 0.474796i
\(778\) 4.26117 + 56.8614i 0.152770 + 2.03858i
\(779\) −16.1709 + 7.78752i −0.579384 + 0.279017i
\(780\) 134.982 49.6701i 4.83313 1.77848i
\(781\) −13.3555 + 6.43165i −0.477896 + 0.230142i
\(782\) −18.8030 + 2.83410i −0.672395 + 0.101347i
\(783\) 2.74456 7.21700i 0.0980826 0.257915i
\(784\) −90.5478 56.1832i −3.23385 2.00654i
\(785\) −2.63988 + 4.57241i −0.0942214 + 0.163196i
\(786\) −43.8123 + 9.01806i −1.56273 + 0.321663i
\(787\) −1.75055 + 23.3594i −0.0624003 + 0.832673i 0.874934 + 0.484242i \(0.160905\pi\)
−0.937334 + 0.348431i \(0.886714\pi\)
\(788\) −6.08509 5.64614i −0.216773 0.201136i
\(789\) 39.0254 + 23.6590i 1.38934 + 0.842283i
\(790\) 65.4701 44.6367i 2.32932 1.58810i
\(791\) −0.327184 0.984913i −0.0116333 0.0350195i
\(792\) −2.07913 64.9535i −0.0738787 2.30802i
\(793\) −16.9989 43.3126i −0.603650 1.53807i
\(794\) 56.8723 + 27.3882i 2.01832 + 0.971972i
\(795\) 58.0521 11.9491i 2.05889 0.423791i
\(796\) −13.0168 57.0305i −0.461370 2.02139i
\(797\) 10.8100 27.5435i 0.382911 0.975643i −0.601360 0.798978i \(-0.705374\pi\)
0.984271 0.176664i \(-0.0565306\pi\)
\(798\) −60.9417 + 41.5607i −2.15731 + 1.47123i
\(799\) 3.27947 + 8.35596i 0.116019 + 0.295613i
\(800\) 125.741 85.7285i 4.44560 3.03096i
\(801\) 29.6123 34.0365i 1.04630 1.20262i
\(802\) 24.4594 + 42.3649i 0.863692 + 1.49596i
\(803\) 7.02040 + 12.1597i 0.247745 + 0.429106i
\(804\) −102.400 25.6895i −3.61138 0.905998i
\(805\) 20.9039 17.4195i 0.736767 0.613957i
\(806\) −24.5578 + 7.57507i −0.865011 + 0.266820i
\(807\) −32.6079 27.1656i −1.14785 0.956274i
\(808\) 34.4183 43.1591i 1.21083 1.51833i
\(809\) 21.8297 + 3.29029i 0.767490 + 0.115680i 0.521106 0.853492i \(-0.325520\pi\)
0.246384 + 0.969172i \(0.420758\pi\)
\(810\) 72.7061 + 43.0307i 2.55463 + 1.51195i
\(811\) −5.40511 + 23.6814i −0.189799 + 0.831565i 0.786922 + 0.617052i \(0.211673\pi\)
−0.976721 + 0.214512i \(0.931184\pi\)
\(812\) 11.7869 18.1141i 0.413640 0.635679i
\(813\) 6.98452 + 24.4923i 0.244958 + 0.858981i
\(814\) −19.2177 −0.673580
\(815\) 29.6248 51.3117i 1.03771 1.79737i
\(816\) −16.7403 58.7025i −0.586029 2.05500i
\(817\) 0.637348 + 8.50482i 0.0222980 + 0.297546i
\(818\) 35.3995 44.3895i 1.23771 1.55204i
\(819\) 19.0821 + 29.3089i 0.666782 + 1.02414i
\(820\) 35.8744 + 44.9851i 1.25279 + 1.57095i
\(821\) 3.78932 3.51597i 0.132248 0.122708i −0.611276 0.791418i \(-0.709343\pi\)
0.743524 + 0.668709i \(0.233153\pi\)
\(822\) −102.049 + 21.0052i −3.55938 + 0.732641i
\(823\) −0.556800 + 0.379620i −0.0194088 + 0.0132327i −0.572986 0.819565i \(-0.694215\pi\)
0.553577 + 0.832798i \(0.313263\pi\)
\(824\) −71.0067 + 89.0396i −2.47364 + 3.10184i
\(825\) 22.6322 + 13.7206i 0.787950 + 0.477692i
\(826\) −24.6954 + 20.5790i −0.859264 + 0.716036i
\(827\) 50.6283 + 24.3813i 1.76052 + 0.847820i 0.972753 + 0.231843i \(0.0744757\pi\)
0.787764 + 0.615977i \(0.211239\pi\)
\(828\) 43.6115 + 23.3516i 1.51561 + 0.811524i
\(829\) −5.15852 + 1.59119i −0.179163 + 0.0552644i −0.383039 0.923732i \(-0.625122\pi\)
0.203876 + 0.978997i \(0.434646\pi\)
\(830\) 11.7675 5.66694i 0.408457 0.196702i
\(831\) 11.5599 34.8133i 0.401010 1.20766i
\(832\) 68.8419 + 119.238i 2.38666 + 4.13382i
\(833\) −1.90551 16.0933i −0.0660219 0.557599i
\(834\) 1.10959 0.0593078i 0.0384221 0.00205366i
\(835\) −20.9457 + 53.3688i −0.724856 + 1.84690i
\(836\) −60.4070 41.1848i −2.08922 1.42441i
\(837\) −9.21092 6.13793i −0.318376 0.212158i
\(838\) 6.78546 90.5457i 0.234400 3.12785i
\(839\) −7.40317 + 5.04739i −0.255586 + 0.174255i −0.684334 0.729169i \(-0.739907\pi\)
0.428748 + 0.903424i \(0.358955\pi\)
\(840\) 110.289 + 102.307i 3.80534 + 3.52994i
\(841\) −22.1365 15.0924i −0.763329 0.520429i
\(842\) 41.4977 52.0364i 1.43010 1.79329i
\(843\) 29.7840 + 12.4313i 1.02582 + 0.428156i
\(844\) 41.2477 + 51.7230i 1.41981 + 1.78038i
\(845\) −21.0160 6.48258i −0.722973 0.223008i
\(846\) 8.40928 30.7192i 0.289117 1.05615i
\(847\) −15.0934 + 3.78856i −0.518614 + 0.130176i
\(848\) 55.5104 + 141.438i 1.90623 + 4.85700i
\(849\) −35.0411 14.6255i −1.20261 0.501945i
\(850\) 40.9119 + 12.6197i 1.40327 + 0.432851i
\(851\) 4.65326 8.05969i 0.159512 0.276283i
\(852\) 62.2953 3.32969i 2.13420 0.114073i
\(853\) 14.0752 + 4.34164i 0.481927 + 0.148655i 0.526193 0.850365i \(-0.323619\pi\)
−0.0442663 + 0.999020i \(0.514095\pi\)
\(854\) 50.8125 57.1839i 1.73877 1.95679i
\(855\) 55.5505 23.8801i 1.89979 0.816683i
\(856\) 74.4697 + 69.0977i 2.54532 + 2.36171i
\(857\) −25.8999 + 32.4774i −0.884724 + 1.10941i 0.108604 + 0.994085i \(0.465362\pi\)
−0.993328 + 0.115323i \(0.963210\pi\)
\(858\) −27.4609 + 38.4819i −0.937499 + 1.31375i
\(859\) −5.78270 + 25.3357i −0.197303 + 0.864442i 0.775230 + 0.631679i \(0.217634\pi\)
−0.972533 + 0.232763i \(0.925223\pi\)
\(860\) 26.1261 8.05884i 0.890894 0.274804i
\(861\) −8.72172 + 10.9395i −0.297236 + 0.372819i
\(862\) 44.3396 + 13.6769i 1.51021 + 0.465839i
\(863\) 10.2058 17.6769i 0.347409 0.601730i −0.638379 0.769722i \(-0.720395\pi\)
0.985788 + 0.167992i \(0.0537282\pi\)
\(864\) −41.6164 + 109.433i −1.41582 + 3.72299i
\(865\) −21.3058 + 19.7689i −0.724419 + 0.672163i
\(866\) −0.111852 1.49256i −0.00380088 0.0507192i
\(867\) −11.7113 + 16.4115i −0.397737 + 0.557362i
\(868\) −21.5561 22.2515i −0.731662 0.755265i
\(869\) −6.97681 + 17.7766i −0.236672 + 0.603031i
\(870\) −16.8086 + 17.3552i −0.569864 + 0.588397i
\(871\) 30.4624 + 38.1987i 1.03218 + 1.29431i
\(872\) −11.9612 159.610i −0.405056 5.40509i
\(873\) −14.0857 0.603255i −0.476730 0.0204171i
\(874\) 43.5050 20.9509i 1.47158 0.708675i
\(875\) −15.4330 + 3.87382i −0.521732 + 0.130959i
\(876\) −7.55462 58.6056i −0.255247 1.98010i
\(877\) 40.7859 19.6414i 1.37724 0.663244i 0.408831 0.912610i \(-0.365936\pi\)
0.968409 + 0.249366i \(0.0802221\pi\)
\(878\) −34.0099 31.5565i −1.14778 1.06498i
\(879\) −0.513227 + 23.9782i −0.0173107 + 0.808766i
\(880\) −43.1381 + 109.914i −1.45418 + 3.70520i
\(881\) −3.15454 −0.106279 −0.0531395 0.998587i \(-0.516923\pi\)
−0.0531395 + 0.998587i \(0.516923\pi\)
\(882\) −28.7371 + 49.8033i −0.967627 + 1.67696i
\(883\) −9.71391 −0.326899 −0.163450 0.986552i \(-0.552262\pi\)
−0.163450 + 0.986552i \(0.552262\pi\)
\(884\) −20.4863 + 52.1981i −0.689027 + 1.75561i
\(885\) 23.0969 12.6839i 0.776395 0.426365i
\(886\) −42.3704 39.3140i −1.42346 1.32078i
\(887\) −20.1593 + 9.70820i −0.676883 + 0.325969i −0.740550 0.672002i \(-0.765435\pi\)
0.0636670 + 0.997971i \(0.479720\pi\)
\(888\) 47.4816 + 19.8179i 1.59338 + 0.665046i
\(889\) −0.438232 + 0.365185i −0.0146978 + 0.0122479i
\(890\) −127.189 + 61.2512i −4.26340 + 2.05314i
\(891\) −20.3196 + 1.30217i −0.680731 + 0.0436244i
\(892\) −1.44437 19.2738i −0.0483611 0.645333i
\(893\) −14.2121 17.8214i −0.475590 0.596371i
\(894\) −9.40996 2.36070i −0.314716 0.0789537i
\(895\) 8.65723 22.0583i 0.289379 0.737326i
\(896\) −58.4330 + 89.7995i −1.95211 + 2.99999i
\(897\) −9.48964 20.8346i −0.316850 0.695646i
\(898\) −7.06006 94.2100i −0.235597 3.14383i
\(899\) 2.32035 2.15297i 0.0773881 0.0718056i
\(900\) −65.6567 89.9748i −2.18856 2.99916i
\(901\) −11.5534 + 20.0111i −0.384901 + 0.666667i
\(902\) −18.0718 5.57442i −0.601726 0.185608i
\(903\) 3.32478 + 5.75701i 0.110642 + 0.191581i
\(904\) −3.58909 + 1.10709i −0.119372 + 0.0368212i
\(905\) −17.6857 + 77.4859i −0.587891 + 2.57572i
\(906\) 0.188881 + 0.414688i 0.00627514 + 0.0137771i
\(907\) −2.22867 + 2.79466i −0.0740018 + 0.0927953i −0.817454 0.575993i \(-0.804615\pi\)
0.743453 + 0.668789i \(0.233187\pi\)
\(908\) 73.4463 + 68.1482i 2.43740 + 2.26158i
\(909\) −13.8604 10.3456i −0.459722 0.343141i
\(910\) −18.6361 107.837i −0.617780 3.57475i
\(911\) −18.0537 5.56883i −0.598146 0.184504i −0.0191261 0.999817i \(-0.506088\pi\)
−0.579020 + 0.815314i \(0.696565\pi\)
\(912\) 84.5592 + 129.914i 2.80004 + 4.30188i
\(913\) −1.57386 + 2.72601i −0.0520872 + 0.0902177i
\(914\) −35.3034 10.8897i −1.16773 0.360198i
\(915\) −49.8513 + 38.0388i −1.64803 + 1.25752i
\(916\) −44.6042 113.650i −1.47376 3.75509i
\(917\) 0.537172 + 24.9488i 0.0177390 + 0.823882i
\(918\) −31.3699 + 10.0416i −1.03536 + 0.331423i
\(919\) 37.2734 + 11.4973i 1.22953 + 0.379261i 0.840424 0.541930i \(-0.182306\pi\)
0.389111 + 0.921191i \(0.372782\pi\)
\(920\) −61.3987 76.9916i −2.02426 2.53834i
\(921\) −5.84390 45.3346i −0.192563 1.49383i
\(922\) −27.2418 + 34.1602i −0.897162 + 1.12501i
\(923\) −23.8540 16.2634i −0.785163 0.535315i
\(924\) −56.3545 8.48675i −1.85393 0.279194i
\(925\) −17.3130 + 11.8038i −0.569250 + 0.388108i
\(926\) 3.71505 49.5739i 0.122084 1.62910i
\(927\) 28.5948 + 21.3435i 0.939177 + 0.701012i
\(928\) −27.6636 18.8607i −0.908102 0.619133i
\(929\) −7.72430 + 19.6812i −0.253426 + 0.645719i −0.999804 0.0198033i \(-0.993696\pi\)
0.746378 + 0.665522i \(0.231791\pi\)
\(930\) 18.8937 + 29.0277i 0.619549 + 0.951855i
\(931\) 16.6694 + 37.6247i 0.546318 + 1.23310i
\(932\) 59.9566 + 103.848i 1.96394 + 3.40165i
\(933\) −12.7940 14.3946i −0.418858 0.471258i
\(934\) 0.255495 0.123040i 0.00836005 0.00402599i
\(935\) −17.1590 + 5.29284i −0.561158 + 0.173094i
\(936\) 107.532 66.7594i 3.51479 2.18210i
\(937\) −48.6757 23.4410i −1.59016 0.765783i −0.591001 0.806671i \(-0.701267\pi\)
−0.999164 + 0.0408883i \(0.986981\pi\)
\(938\) −33.2866 + 73.1055i −1.08685 + 2.38698i
\(939\) −0.863232 + 40.3306i −0.0281705 + 1.31614i
\(940\) −45.5605 + 57.1311i −1.48602 + 1.86341i
\(941\) 2.78851 1.90117i 0.0909028 0.0619765i −0.517016 0.855976i \(-0.672957\pi\)
0.607918 + 0.793999i \(0.292005\pi\)
\(942\) −2.30155 + 6.93123i −0.0749886 + 0.225832i
\(943\) 6.71366 6.22937i 0.218627 0.202856i
\(944\) 42.1179 + 52.8141i 1.37082 + 1.71895i
\(945\) 30.9324 35.5630i 1.00623 1.15686i
\(946\) −5.60304 + 7.02599i −0.182170 + 0.228435i
\(947\) −0.843083 11.2502i −0.0273965 0.365581i −0.994006 0.109327i \(-0.965131\pi\)
0.966609 0.256254i \(-0.0824885\pi\)
\(948\) 55.9125 57.7308i 1.81595 1.87501i
\(949\) −13.6731 + 23.6826i −0.443849 + 0.768768i
\(950\) −108.720 −3.52735
\(951\) 38.4717 + 9.65152i 1.24753 + 0.312972i
\(952\) −58.3771 + 5.64077i −1.89201 + 0.182818i
\(953\) 2.34651 10.2808i 0.0760111 0.333026i −0.922597 0.385764i \(-0.873938\pi\)
0.998608 + 0.0527382i \(0.0167949\pi\)
\(954\) 75.3207 32.3790i 2.43860 1.04831i
\(955\) 22.8186 + 3.43935i 0.738392 + 0.111295i
\(956\) −43.3102 + 54.3093i −1.40075 + 1.75649i
\(957\) 0.990846 5.73783i 0.0320295 0.185478i
\(958\) −38.3017 + 11.8145i −1.23747 + 0.381710i
\(959\) 1.25120 + 58.1118i 0.0404034 + 1.87653i
\(960\) 129.091 133.289i 4.16640 4.30189i
\(961\) 13.2312 + 22.9171i 0.426813 + 0.739262i
\(962\) −18.7145 32.4144i −0.603378 1.04508i
\(963\) 20.8917 24.0131i 0.673226 0.773810i
\(964\) −10.7394 + 7.32200i −0.345893 + 0.235826i
\(965\) −4.25626 10.8448i −0.137014 0.349105i
\(966\) 23.4642 29.4309i 0.754949 0.946923i
\(967\) −10.2239 + 26.0499i −0.328777 + 0.837710i 0.666928 + 0.745122i \(0.267609\pi\)
−0.995705 + 0.0925874i \(0.970486\pi\)
\(968\) 12.5319 + 54.9059i 0.402791 + 1.76474i
\(969\) −7.42884 + 22.3723i −0.238649 + 0.718702i
\(970\) 39.7472 + 19.1412i 1.27621 + 0.614588i
\(971\) 7.33720 + 18.6949i 0.235462 + 0.599947i 0.998947 0.0458781i \(-0.0146086\pi\)
−0.763485 + 0.645826i \(0.776513\pi\)
\(972\) 81.0273 + 27.8809i 2.59895 + 0.894281i
\(973\) 0.0791760 0.614831i 0.00253827 0.0197106i
\(974\) −25.4057 + 17.3213i −0.814052 + 0.555012i
\(975\) −1.10305 + 51.5349i −0.0353258 + 1.65044i
\(976\) −117.841 109.340i −3.77198 3.49989i
\(977\) −1.65063 + 22.0261i −0.0528083 + 0.704677i 0.906480 + 0.422249i \(0.138759\pi\)
−0.959288 + 0.282429i \(0.908860\pi\)
\(978\) 25.8281 77.7825i 0.825891 2.48721i
\(979\) 17.0111 29.4641i 0.543677 0.941676i
\(980\) 105.700 78.9377i 3.37647 2.52157i
\(981\) −49.8627 + 5.34559i −1.59199 + 0.170672i
\(982\) 21.4801 3.23761i 0.685459 0.103316i
\(983\) −10.2052 + 4.91456i −0.325495 + 0.156750i −0.589494 0.807773i \(-0.700673\pi\)
0.263999 + 0.964523i \(0.414958\pi\)
\(984\) 38.9020 + 32.4091i 1.24015 + 1.03317i
\(985\) 4.66457 2.24634i 0.148626 0.0715743i
\(986\) −0.703907 9.39298i −0.0224170 0.299134i
\(987\) −16.0097 7.70734i −0.509593 0.245327i
\(988\) 10.6410 141.994i 0.338536 4.51745i
\(989\) −1.58993 4.05109i −0.0505570 0.128817i
\(990\) 60.0224 + 21.3673i 1.90764 + 0.679099i
\(991\) 7.15570 18.2324i 0.227308 0.579172i −0.771030 0.636799i \(-0.780258\pi\)
0.998338 + 0.0576267i \(0.0183533\pi\)
\(992\) −35.1840 + 32.6460i −1.11709 + 1.03651i
\(993\) 12.8598 2.64699i 0.408095 0.0839998i
\(994\) 6.06243 47.0770i 0.192289 1.49319i
\(995\) 36.0766 + 5.43768i 1.14371 + 0.172386i
\(996\) 10.5314 8.03594i 0.333701 0.254629i
\(997\) 0.833594 + 3.65221i 0.0264002 + 0.115667i 0.986411 0.164296i \(-0.0525351\pi\)
−0.960011 + 0.279962i \(0.909678\pi\)
\(998\) −38.9811 67.5172i −1.23392 2.13722i
\(999\) 5.73010 15.0677i 0.181292 0.476720i
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 441.2.z.a.142.54 yes 648
9.4 even 3 441.2.y.a.436.54 yes 648
49.39 even 21 441.2.y.a.88.54 648
441.382 even 21 inner 441.2.z.a.382.54 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.88.54 648 49.39 even 21
441.2.y.a.436.54 yes 648 9.4 even 3
441.2.z.a.142.54 yes 648 1.1 even 1 trivial
441.2.z.a.382.54 yes 648 441.382 even 21 inner