Properties

Label 245.2.s.a.27.4
Level $245$
Weight $2$
Character 245.27
Analytic conductor $1.956$
Analytic rank $0$
Dimension $312$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [245,2,Mod(13,245)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(245, base_ring=CyclotomicField(28))
 
chi = DirichletCharacter(H, H._module([21, 22]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("245.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 245 = 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 245.s (of order \(28\), 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: \(1.95633484952\)
Analytic rank: \(0\)
Dimension: \(312\)
Relative dimension: \(26\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 27.4
Character \(\chi\) \(=\) 245.27
Dual form 245.2.s.a.118.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.27213 - 0.795054i) q^{2} +(-1.66209 + 1.04436i) q^{3} +(2.96682 + 2.36596i) q^{4} +(-1.11505 - 1.93821i) q^{5} +(4.60681 - 1.05147i) q^{6} +(1.15495 + 2.38036i) q^{7} +(-2.29851 - 3.65806i) q^{8} +(0.370199 - 0.768725i) q^{9} +O(q^{10})\) \(q+(-2.27213 - 0.795054i) q^{2} +(-1.66209 + 1.04436i) q^{3} +(2.96682 + 2.36596i) q^{4} +(-1.11505 - 1.93821i) q^{5} +(4.60681 - 1.05147i) q^{6} +(1.15495 + 2.38036i) q^{7} +(-2.29851 - 3.65806i) q^{8} +(0.370199 - 0.768725i) q^{9} +(0.992565 + 5.29040i) q^{10} +(3.44400 - 1.65854i) q^{11} +(-7.40203 - 0.834008i) q^{12} +(-0.443151 - 0.155065i) q^{13} +(-0.731680 - 6.32674i) q^{14} +(3.87750 + 2.05696i) q^{15} +(0.625368 + 2.73992i) q^{16} +(-4.96562 - 0.559490i) q^{17} +(-1.45232 + 1.45232i) q^{18} -6.30901 q^{19} +(1.27757 - 8.38849i) q^{20} +(-4.40557 - 2.75018i) q^{21} +(-9.14386 + 1.03027i) q^{22} +(-0.290766 - 2.58062i) q^{23} +(7.64066 + 3.67955i) q^{24} +(-2.51332 + 4.32241i) q^{25} +(0.883613 + 0.704658i) q^{26} +(-0.471824 - 4.18755i) q^{27} +(-2.20531 + 9.79465i) q^{28} +(-6.19979 + 4.94417i) q^{29} +(-7.17481 - 7.75652i) q^{30} -4.17280i q^{31} +(-0.209967 + 1.86351i) q^{32} +(-3.99211 + 6.35341i) q^{33} +(10.8377 + 5.21917i) q^{34} +(3.32581 - 4.89275i) q^{35} +(2.91709 - 1.40479i) q^{36} +(0.497357 - 4.41416i) q^{37} +(14.3349 + 5.01600i) q^{38} +(0.898499 - 0.205077i) q^{39} +(-4.52713 + 8.53393i) q^{40} +(-4.43529 - 1.01233i) q^{41} +(7.82350 + 9.75145i) q^{42} +(-4.01059 - 2.52002i) q^{43} +(14.1418 + 3.22777i) q^{44} +(-1.90274 + 0.139646i) q^{45} +(-1.39108 + 6.09470i) q^{46} +(1.01363 - 2.89678i) q^{47} +(-3.90087 - 3.90087i) q^{48} +(-4.33220 + 5.49837i) q^{49} +(9.14715 - 7.82287i) q^{50} +(8.83760 - 4.25596i) q^{51} +(-0.947871 - 1.50853i) q^{52} +(-0.965710 - 8.57091i) q^{53} +(-2.25728 + 9.88980i) q^{54} +(-7.05484 - 4.82583i) q^{55} +(6.05283 - 9.69614i) q^{56} +(10.4861 - 6.58887i) q^{57} +(18.0176 - 6.30465i) q^{58} +(-0.222633 - 0.975417i) q^{59} +(6.63716 + 15.2766i) q^{60} +(7.22830 - 5.76438i) q^{61} +(-3.31761 + 9.48117i) q^{62} +(2.25740 - 0.00663153i) q^{63} +(4.39742 - 9.13134i) q^{64} +(0.193587 + 1.03183i) q^{65} +(14.1219 - 11.2619i) q^{66} +(0.0492506 + 0.0492506i) q^{67} +(-13.4084 - 13.4084i) q^{68} +(3.17838 + 3.98556i) q^{69} +(-11.4467 + 8.47279i) q^{70} +(-10.3584 + 12.9890i) q^{71} +(-3.66295 + 0.412715i) q^{72} +(4.53448 + 12.9588i) q^{73} +(-4.63956 + 9.63415i) q^{74} +(-0.336790 - 9.80903i) q^{75} +(-18.7177 - 14.9269i) q^{76} +(7.92556 + 6.28242i) q^{77} +(-2.20456 - 0.248394i) q^{78} -7.72576i q^{79} +(4.61322 - 4.26724i) q^{80} +(6.75344 + 8.46855i) q^{81} +(9.27272 + 5.82644i) q^{82} +(-1.39348 - 3.98233i) q^{83} +(-6.56371 - 18.5827i) q^{84} +(4.45251 + 10.2483i) q^{85} +(7.10904 + 8.91445i) q^{86} +(5.14111 - 14.6925i) q^{87} +(-13.9831 - 8.78618i) q^{88} +(-7.51851 - 3.62072i) q^{89} +(4.43431 + 1.19549i) q^{90} +(-0.142705 - 1.23395i) q^{91} +(5.24300 - 8.34419i) q^{92} +(4.35791 + 6.93557i) q^{93} +(-4.60620 + 5.77599i) q^{94} +(7.03487 + 12.2282i) q^{95} +(-1.59719 - 3.31660i) q^{96} +(-8.90923 + 8.90923i) q^{97} +(14.2148 - 9.04870i) q^{98} -3.26148i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 312 q - 10 q^{2} - 14 q^{3} - 14 q^{5} - 56 q^{6} - 18 q^{7} - 6 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 312 q - 10 q^{2} - 14 q^{3} - 14 q^{5} - 56 q^{6} - 18 q^{7} - 6 q^{8} - 14 q^{10} - 28 q^{11} - 14 q^{12} - 14 q^{13} - 42 q^{15} + 4 q^{16} - 28 q^{17} - 44 q^{18} - 14 q^{20} - 8 q^{21} + 18 q^{22} - 26 q^{23} - 6 q^{25} - 14 q^{27} - 14 q^{28} - 20 q^{30} - 78 q^{32} - 14 q^{33} - 34 q^{35} - 80 q^{36} + 2 q^{37} - 42 q^{38} - 14 q^{40} + 78 q^{42} - 6 q^{43} - 126 q^{45} + 48 q^{46} + 28 q^{47} + 224 q^{50} + 20 q^{51} - 14 q^{52} + 40 q^{53} - 56 q^{55} + 72 q^{56} - 102 q^{57} + 94 q^{58} - 10 q^{60} + 28 q^{61} + 14 q^{62} - 6 q^{63} + 2 q^{65} + 168 q^{66} - 16 q^{67} - 162 q^{70} - 108 q^{71} - 156 q^{72} - 14 q^{73} + 70 q^{75} - 140 q^{76} - 10 q^{77} + 102 q^{78} + 164 q^{81} + 126 q^{82} - 56 q^{83} + 6 q^{85} - 68 q^{86} + 14 q^{87} + 132 q^{88} + 70 q^{90} - 188 q^{91} - 22 q^{92} + 70 q^{93} - 56 q^{95} - 280 q^{96} + 236 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/245\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(197\)
\(\chi(n)\) \(e\left(\frac{1}{14}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.27213 0.795054i −1.60664 0.562188i −0.629913 0.776666i \(-0.716909\pi\)
−0.976729 + 0.214478i \(0.931195\pi\)
\(3\) −1.66209 + 1.04436i −0.959607 + 0.602961i −0.918173 0.396180i \(-0.870335\pi\)
−0.0414340 + 0.999141i \(0.513193\pi\)
\(4\) 2.96682 + 2.36596i 1.48341 + 1.18298i
\(5\) −1.11505 1.93821i −0.498666 0.866794i
\(6\) 4.60681 1.05147i 1.88072 0.429262i
\(7\) 1.15495 + 2.38036i 0.436529 + 0.899690i
\(8\) −2.29851 3.65806i −0.812647 1.29332i
\(9\) 0.370199 0.768725i 0.123400 0.256242i
\(10\) 0.992565 + 5.29040i 0.313877 + 1.67297i
\(11\) 3.44400 1.65854i 1.03840 0.500069i 0.164607 0.986359i \(-0.447364\pi\)
0.873798 + 0.486290i \(0.161650\pi\)
\(12\) −7.40203 0.834008i −2.13678 0.240757i
\(13\) −0.443151 0.155065i −0.122908 0.0430074i 0.268124 0.963384i \(-0.413596\pi\)
−0.391032 + 0.920377i \(0.627882\pi\)
\(14\) −0.731680 6.32674i −0.195550 1.69089i
\(15\) 3.87750 + 2.05696i 1.00117 + 0.531105i
\(16\) 0.625368 + 2.73992i 0.156342 + 0.684979i
\(17\) −4.96562 0.559490i −1.20434 0.135696i −0.513104 0.858327i \(-0.671504\pi\)
−0.691235 + 0.722630i \(0.742933\pi\)
\(18\) −1.45232 + 1.45232i −0.342315 + 0.342315i
\(19\) −6.30901 −1.44739 −0.723693 0.690122i \(-0.757557\pi\)
−0.723693 + 0.690122i \(0.757557\pi\)
\(20\) 1.27757 8.38849i 0.285673 1.87572i
\(21\) −4.40557 2.75018i −0.961374 0.600139i
\(22\) −9.14386 + 1.03027i −1.94948 + 0.219653i
\(23\) −0.290766 2.58062i −0.0606290 0.538097i −0.986911 0.161266i \(-0.948442\pi\)
0.926282 0.376831i \(-0.122986\pi\)
\(24\) 7.64066 + 3.67955i 1.55964 + 0.751084i
\(25\) −2.51332 + 4.32241i −0.502664 + 0.864482i
\(26\) 0.883613 + 0.704658i 0.173291 + 0.138195i
\(27\) −0.471824 4.18755i −0.0908025 0.805894i
\(28\) −2.20531 + 9.79465i −0.416765 + 1.85101i
\(29\) −6.19979 + 4.94417i −1.15127 + 0.918109i −0.997547 0.0700041i \(-0.977699\pi\)
−0.153726 + 0.988113i \(0.549127\pi\)
\(30\) −7.17481 7.75652i −1.30993 1.41614i
\(31\) 4.17280i 0.749458i −0.927134 0.374729i \(-0.877736\pi\)
0.927134 0.374729i \(-0.122264\pi\)
\(32\) −0.209967 + 1.86351i −0.0371173 + 0.329425i
\(33\) −3.99211 + 6.35341i −0.694938 + 1.10599i
\(34\) 10.8377 + 5.21917i 1.85865 + 0.895080i
\(35\) 3.32581 4.89275i 0.562164 0.827026i
\(36\) 2.91709 1.40479i 0.486181 0.234132i
\(37\) 0.497357 4.41416i 0.0817649 0.725684i −0.884217 0.467076i \(-0.845308\pi\)
0.965982 0.258608i \(-0.0832639\pi\)
\(38\) 14.3349 + 5.01600i 2.32543 + 0.813703i
\(39\) 0.898499 0.205077i 0.143875 0.0328385i
\(40\) −4.52713 + 8.53393i −0.715802 + 1.34933i
\(41\) −4.43529 1.01233i −0.692676 0.158099i −0.138331 0.990386i \(-0.544174\pi\)
−0.554345 + 0.832287i \(0.687031\pi\)
\(42\) 7.82350 + 9.75145i 1.20719 + 1.50468i
\(43\) −4.01059 2.52002i −0.611609 0.384299i 0.190317 0.981723i \(-0.439048\pi\)
−0.801926 + 0.597423i \(0.796191\pi\)
\(44\) 14.1418 + 3.22777i 2.13195 + 0.486604i
\(45\) −1.90274 + 0.139646i −0.283644 + 0.0208172i
\(46\) −1.39108 + 6.09470i −0.205103 + 0.898614i
\(47\) 1.01363 2.89678i 0.147853 0.422539i −0.846009 0.533169i \(-0.821001\pi\)
0.993862 + 0.110630i \(0.0352868\pi\)
\(48\) −3.90087 3.90087i −0.563043 0.563043i
\(49\) −4.33220 + 5.49837i −0.618886 + 0.785481i
\(50\) 9.14715 7.82287i 1.29360 1.10632i
\(51\) 8.83760 4.25596i 1.23751 0.595954i
\(52\) −0.947871 1.50853i −0.131446 0.209195i
\(53\) −0.965710 8.57091i −0.132650 1.17731i −0.866920 0.498447i \(-0.833904\pi\)
0.734270 0.678858i \(-0.237525\pi\)
\(54\) −2.25728 + 9.88980i −0.307177 + 1.34583i
\(55\) −7.05484 4.82583i −0.951275 0.650715i
\(56\) 6.05283 9.69614i 0.808844 1.29570i
\(57\) 10.4861 6.58887i 1.38892 0.872717i
\(58\) 18.0176 6.30465i 2.36583 0.827841i
\(59\) −0.222633 0.975417i −0.0289843 0.126989i 0.958366 0.285543i \(-0.0921739\pi\)
−0.987350 + 0.158554i \(0.949317\pi\)
\(60\) 6.63716 + 15.2766i 0.856854 + 1.97221i
\(61\) 7.22830 5.76438i 0.925489 0.738053i −0.0398079 0.999207i \(-0.512675\pi\)
0.965297 + 0.261154i \(0.0841032\pi\)
\(62\) −3.31761 + 9.48117i −0.421336 + 1.20411i
\(63\) 2.25740 0.00663153i 0.284406 0.000835495i
\(64\) 4.39742 9.13134i 0.549677 1.14142i
\(65\) 0.193587 + 1.03183i 0.0240115 + 0.127982i
\(66\) 14.1219 11.2619i 1.73829 1.38624i
\(67\) 0.0492506 + 0.0492506i 0.00601692 + 0.00601692i 0.710109 0.704092i \(-0.248646\pi\)
−0.704092 + 0.710109i \(0.748646\pi\)
\(68\) −13.4084 13.4084i −1.62600 1.62600i
\(69\) 3.17838 + 3.98556i 0.382632 + 0.479805i
\(70\) −11.4467 + 8.47279i −1.36814 + 1.01269i
\(71\) −10.3584 + 12.9890i −1.22931 + 1.54151i −0.483509 + 0.875340i \(0.660638\pi\)
−0.745802 + 0.666167i \(0.767934\pi\)
\(72\) −3.66295 + 0.412715i −0.431683 + 0.0486390i
\(73\) 4.53448 + 12.9588i 0.530720 + 1.51671i 0.827332 + 0.561713i \(0.189858\pi\)
−0.296612 + 0.954998i \(0.595857\pi\)
\(74\) −4.63956 + 9.63415i −0.539338 + 1.11995i
\(75\) −0.336790 9.80903i −0.0388892 1.13265i
\(76\) −18.7177 14.9269i −2.14707 1.71223i
\(77\) 7.92556 + 6.28242i 0.903201 + 0.715948i
\(78\) −2.20456 0.248394i −0.249617 0.0281251i
\(79\) 7.72576i 0.869216i −0.900620 0.434608i \(-0.856887\pi\)
0.900620 0.434608i \(-0.143113\pi\)
\(80\) 4.61322 4.26724i 0.515773 0.477092i
\(81\) 6.75344 + 8.46855i 0.750382 + 0.940950i
\(82\) 9.27272 + 5.82644i 1.02400 + 0.643422i
\(83\) −1.39348 3.98233i −0.152954 0.437118i 0.841754 0.539862i \(-0.181523\pi\)
−0.994708 + 0.102744i \(0.967238\pi\)
\(84\) −6.56371 18.5827i −0.716159 2.02754i
\(85\) 4.45251 + 10.2483i 0.482942 + 1.11158i
\(86\) 7.10904 + 8.91445i 0.766588 + 0.961270i
\(87\) 5.14111 14.6925i 0.551185 1.57520i
\(88\) −13.9831 8.78618i −1.49061 0.936610i
\(89\) −7.51851 3.62072i −0.796960 0.383796i −0.00933959 0.999956i \(-0.502973\pi\)
−0.787621 + 0.616161i \(0.788687\pi\)
\(90\) 4.43431 + 1.19549i 0.467417 + 0.126016i
\(91\) −0.142705 1.23395i −0.0149595 0.129353i
\(92\) 5.24300 8.34419i 0.546621 0.869942i
\(93\) 4.35791 + 6.93557i 0.451894 + 0.719185i
\(94\) −4.60620 + 5.77599i −0.475093 + 0.595748i
\(95\) 7.03487 + 12.2282i 0.721762 + 1.25459i
\(96\) −1.59719 3.31660i −0.163012 0.338499i
\(97\) −8.90923 + 8.90923i −0.904595 + 0.904595i −0.995829 0.0912343i \(-0.970919\pi\)
0.0912343 + 0.995829i \(0.470919\pi\)
\(98\) 14.2148 9.04870i 1.43592 0.914057i
\(99\) 3.26148i 0.327791i
\(100\) −17.6832 + 6.87740i −1.76832 + 0.687740i
\(101\) −18.9870 4.33366i −1.88928 0.431216i −0.889604 0.456732i \(-0.849020\pi\)
−0.999674 + 0.0255164i \(0.991877\pi\)
\(102\) −23.4639 + 2.64375i −2.32328 + 0.261770i
\(103\) −0.581760 + 0.365544i −0.0573225 + 0.0360181i −0.560388 0.828230i \(-0.689348\pi\)
0.503066 + 0.864248i \(0.332205\pi\)
\(104\) 0.451350 + 1.97749i 0.0442585 + 0.193909i
\(105\) −0.417997 + 11.6055i −0.0407924 + 1.13258i
\(106\) −4.62012 + 20.2421i −0.448745 + 1.96608i
\(107\) 2.05261 + 5.86603i 0.198433 + 0.567090i 0.999504 0.0314791i \(-0.0100218\pi\)
−0.801071 + 0.598569i \(0.795736\pi\)
\(108\) 8.50776 13.5400i 0.818660 1.30289i
\(109\) −0.858301 1.78228i −0.0822104 0.170712i 0.855811 0.517288i \(-0.173058\pi\)
−0.938022 + 0.346576i \(0.887344\pi\)
\(110\) 12.1927 + 16.5739i 1.16253 + 1.58026i
\(111\) 3.78332 + 7.85615i 0.359097 + 0.745672i
\(112\) −5.79971 + 4.65306i −0.548022 + 0.439673i
\(113\) 0.400548 0.140158i 0.0376804 0.0131849i −0.311373 0.950288i \(-0.600789\pi\)
0.349053 + 0.937103i \(0.386503\pi\)
\(114\) −29.0644 + 6.63376i −2.72213 + 0.621308i
\(115\) −4.67757 + 3.44110i −0.436186 + 0.320884i
\(116\) −30.0914 −2.79392
\(117\) −0.283256 + 0.283256i −0.0261871 + 0.0261871i
\(118\) −0.269658 + 2.39328i −0.0248241 + 0.220320i
\(119\) −4.40323 12.4661i −0.403644 1.14277i
\(120\) −1.38799 18.9121i −0.126706 1.72643i
\(121\) 2.25198 2.82389i 0.204725 0.256717i
\(122\) −21.0067 + 7.35055i −1.90185 + 0.665488i
\(123\) 8.42907 2.94946i 0.760024 0.265944i
\(124\) 9.87269 12.3800i 0.886594 1.11175i
\(125\) 11.1802 + 0.0516305i 0.999989 + 0.00461798i
\(126\) −5.13439 1.77969i −0.457408 0.158547i
\(127\) 0.299315 2.65649i 0.0265599 0.235725i −0.973418 0.229037i \(-0.926442\pi\)
0.999978 0.00668855i \(-0.00212905\pi\)
\(128\) −14.5994 + 14.5994i −1.29041 + 1.29041i
\(129\) 9.29775 0.818621
\(130\) 0.380501 2.49836i 0.0333721 0.219121i
\(131\) 8.54856 1.95115i 0.746891 0.170473i 0.167897 0.985805i \(-0.446302\pi\)
0.578995 + 0.815331i \(0.303445\pi\)
\(132\) −26.8758 + 9.40425i −2.33924 + 0.818535i
\(133\) −7.28656 15.0177i −0.631825 1.30220i
\(134\) −0.0727471 0.151061i −0.00628439 0.0130497i
\(135\) −7.59024 + 5.58383i −0.653264 + 0.480579i
\(136\) 9.36688 + 19.4505i 0.803203 + 1.66787i
\(137\) 7.80468 12.4211i 0.666799 1.06120i −0.326451 0.945214i \(-0.605853\pi\)
0.993250 0.115990i \(-0.0370042\pi\)
\(138\) −4.05296 11.5827i −0.345011 0.985985i
\(139\) 1.87863 8.23084i 0.159344 0.698130i −0.830624 0.556834i \(-0.812016\pi\)
0.989967 0.141296i \(-0.0451270\pi\)
\(140\) 21.4431 6.64718i 1.81227 0.561789i
\(141\) 1.34054 + 5.87330i 0.112894 + 0.494621i
\(142\) 33.8625 21.2772i 2.84168 1.78555i
\(143\) −1.78339 + 0.200940i −0.149135 + 0.0168035i
\(144\) 2.33775 + 0.533577i 0.194813 + 0.0444648i
\(145\) 16.4959 + 6.50350i 1.36991 + 0.540086i
\(146\) 33.0493i 2.73518i
\(147\) 1.45822 13.6631i 0.120272 1.12692i
\(148\) 11.9193 11.9193i 0.979761 0.979761i
\(149\) 7.13049 + 14.8066i 0.584152 + 1.21300i 0.958334 + 0.285649i \(0.0922092\pi\)
−0.374182 + 0.927355i \(0.622076\pi\)
\(150\) −7.03348 + 22.5552i −0.574281 + 1.84162i
\(151\) 5.11568 6.41486i 0.416308 0.522034i −0.528820 0.848734i \(-0.677365\pi\)
0.945128 + 0.326700i \(0.105937\pi\)
\(152\) 14.5013 + 23.0787i 1.17621 + 1.87193i
\(153\) −2.26836 + 3.61007i −0.183386 + 0.291857i
\(154\) −13.0131 20.5757i −1.04862 1.65804i
\(155\) −8.08777 + 4.65289i −0.649626 + 0.373729i
\(156\) 3.15089 + 1.51739i 0.252273 + 0.121488i
\(157\) 8.53426 + 5.36243i 0.681108 + 0.427968i 0.827656 0.561235i \(-0.189674\pi\)
−0.146549 + 0.989203i \(0.546816\pi\)
\(158\) −6.14240 + 17.5540i −0.488663 + 1.39652i
\(159\) 10.5562 + 13.2371i 0.837161 + 1.04977i
\(160\) 3.84600 1.67095i 0.304053 0.132100i
\(161\) 5.80699 3.67261i 0.457655 0.289442i
\(162\) −8.61177 24.6110i −0.676605 1.93362i
\(163\) −0.478039 0.300372i −0.0374429 0.0235269i 0.513181 0.858281i \(-0.328467\pi\)
−0.550623 + 0.834754i \(0.685610\pi\)
\(164\) −10.7636 13.4971i −0.840495 1.05395i
\(165\) 16.7657 + 0.653172i 1.30521 + 0.0508494i
\(166\) 10.1563i 0.788281i
\(167\) −4.53992 0.511526i −0.351310 0.0395831i −0.0654535 0.997856i \(-0.520849\pi\)
−0.285856 + 0.958273i \(0.592278\pi\)
\(168\) 0.0659134 + 22.4372i 0.00508533 + 1.73106i
\(169\) −9.99147 7.96793i −0.768575 0.612918i
\(170\) −1.96877 26.8254i −0.150998 2.05742i
\(171\) −2.33559 + 4.84989i −0.178607 + 0.370881i
\(172\) −5.93643 16.9653i −0.452648 1.29359i
\(173\) −21.1119 + 2.37874i −1.60511 + 0.180853i −0.868579 0.495550i \(-0.834966\pi\)
−0.736532 + 0.676403i \(0.763538\pi\)
\(174\) −23.3626 + 29.2958i −1.77111 + 2.22091i
\(175\) −13.1916 0.990446i −0.997193 0.0748707i
\(176\) 6.69804 + 8.39907i 0.504883 + 0.633104i
\(177\) 1.38872 + 1.38872i 0.104383 + 0.104383i
\(178\) 14.2044 + 14.2044i 1.06466 + 1.06466i
\(179\) 16.9310 13.5020i 1.26548 1.00919i 0.266514 0.963831i \(-0.414128\pi\)
0.998971 0.0453590i \(-0.0144432\pi\)
\(180\) −5.97549 4.08751i −0.445387 0.304665i
\(181\) −7.21040 + 14.9726i −0.535945 + 1.11290i 0.440623 + 0.897692i \(0.354758\pi\)
−0.976568 + 0.215209i \(0.930957\pi\)
\(182\) −0.656812 + 2.91716i −0.0486861 + 0.216234i
\(183\) −5.99399 + 17.1298i −0.443089 + 1.26627i
\(184\) −8.77175 + 6.99524i −0.646662 + 0.515696i
\(185\) −9.11016 + 3.95804i −0.669792 + 0.291001i
\(186\) −4.38760 19.2233i −0.321714 1.40952i
\(187\) −18.0295 + 6.30880i −1.31845 + 0.461345i
\(188\) 9.86092 6.19603i 0.719182 0.451892i
\(189\) 9.42293 5.95950i 0.685417 0.433490i
\(190\) −6.26210 33.3772i −0.454301 2.42144i
\(191\) −2.14047 + 9.37802i −0.154879 + 0.678570i 0.836546 + 0.547896i \(0.184571\pi\)
−0.991425 + 0.130674i \(0.958286\pi\)
\(192\) 2.22750 + 19.7696i 0.160756 + 1.42675i
\(193\) −0.769507 1.22466i −0.0553903 0.0881532i 0.817881 0.575387i \(-0.195149\pi\)
−0.873271 + 0.487234i \(0.838006\pi\)
\(194\) 27.3263 13.1596i 1.96191 0.944808i
\(195\) −1.39935 1.51281i −0.100210 0.108335i
\(196\) −25.8618 + 6.06286i −1.84727 + 0.433061i
\(197\) 11.8828 + 11.8828i 0.846613 + 0.846613i 0.989709 0.143096i \(-0.0457058\pi\)
−0.143096 + 0.989709i \(0.545706\pi\)
\(198\) −2.59305 + 7.41052i −0.184280 + 0.526643i
\(199\) −2.48128 + 10.8712i −0.175893 + 0.770639i 0.807605 + 0.589724i \(0.200763\pi\)
−0.983499 + 0.180916i \(0.942094\pi\)
\(200\) 21.5885 0.741236i 1.52654 0.0524133i
\(201\) −0.133294 0.0304235i −0.00940184 0.00214591i
\(202\) 39.6956 + 24.9424i 2.79297 + 1.75494i
\(203\) −18.9293 9.04747i −1.32858 0.635008i
\(204\) 36.2890 + 8.28273i 2.54074 + 0.579907i
\(205\) 2.98348 + 9.72532i 0.208375 + 0.679246i
\(206\) 1.61246 0.368034i 0.112346 0.0256422i
\(207\) −2.09143 0.731824i −0.145365 0.0508653i
\(208\) 0.147733 1.31117i 0.0102435 0.0909133i
\(209\) −21.7282 + 10.4638i −1.50297 + 0.723793i
\(210\) 10.1768 26.0370i 0.702263 1.79672i
\(211\) 14.2658 + 6.87004i 0.982097 + 0.472953i 0.854826 0.518915i \(-0.173664\pi\)
0.127271 + 0.991868i \(0.459378\pi\)
\(212\) 17.4133 27.7132i 1.19595 1.90335i
\(213\) 3.65135 32.4066i 0.250187 2.22047i
\(214\) 14.9603i 1.02267i
\(215\) −0.412315 + 10.5833i −0.0281196 + 0.721776i
\(216\) −14.2338 + 11.3511i −0.968489 + 0.772344i
\(217\) 9.93276 4.81936i 0.674280 0.327160i
\(218\) 0.533166 + 4.73198i 0.0361106 + 0.320490i
\(219\) −21.0703 16.8030i −1.42380 1.13544i
\(220\) −9.51272 31.0089i −0.641347 2.09062i
\(221\) 2.11376 + 1.01793i 0.142187 + 0.0684736i
\(222\) −2.35015 20.8582i −0.157732 1.39991i
\(223\) 8.53128 0.961244i 0.571296 0.0643697i 0.178409 0.983956i \(-0.442905\pi\)
0.392887 + 0.919587i \(0.371476\pi\)
\(224\) −4.67832 + 1.65246i −0.312583 + 0.110409i
\(225\) 2.39232 + 3.53220i 0.159488 + 0.235480i
\(226\) −1.02153 −0.0679513
\(227\) −6.80339 + 6.80339i −0.451557 + 0.451557i −0.895871 0.444314i \(-0.853447\pi\)
0.444314 + 0.895871i \(0.353447\pi\)
\(228\) 46.6994 + 5.26176i 3.09275 + 0.348469i
\(229\) −1.03738 4.54508i −0.0685523 0.300347i 0.929016 0.370039i \(-0.120656\pi\)
−0.997569 + 0.0696915i \(0.977799\pi\)
\(230\) 13.3639 4.09971i 0.881192 0.270327i
\(231\) −19.7341 2.16481i −1.29841 0.142434i
\(232\) 32.3364 + 11.3150i 2.12299 + 0.742865i
\(233\) 6.80270 + 0.766480i 0.445659 + 0.0502138i 0.331943 0.943299i \(-0.392296\pi\)
0.113717 + 0.993513i \(0.463724\pi\)
\(234\) 0.868801 0.418392i 0.0567953 0.0273512i
\(235\) −6.74482 + 1.26544i −0.439983 + 0.0825480i
\(236\) 1.64729 3.42063i 0.107229 0.222664i
\(237\) 8.06846 + 12.8409i 0.524103 + 0.834105i
\(238\) 0.0934934 + 31.8255i 0.00606027 + 2.06294i
\(239\) 19.8203 4.52385i 1.28207 0.292624i 0.473379 0.880859i \(-0.343034\pi\)
0.808690 + 0.588235i \(0.200177\pi\)
\(240\) −3.21104 + 11.9104i −0.207272 + 0.768812i
\(241\) 2.06232 + 1.64464i 0.132846 + 0.105941i 0.687658 0.726034i \(-0.258639\pi\)
−0.554813 + 0.831975i \(0.687210\pi\)
\(242\) −7.36194 + 4.62581i −0.473243 + 0.297358i
\(243\) −8.13630 2.84702i −0.521944 0.182636i
\(244\) 35.0834 2.24598
\(245\) 15.4876 + 2.26575i 0.989468 + 0.144753i
\(246\) −21.4970 −1.37060
\(247\) 2.79584 + 0.978308i 0.177895 + 0.0622482i
\(248\) −15.2644 + 9.59124i −0.969289 + 0.609044i
\(249\) 6.47507 + 5.16370i 0.410341 + 0.327236i
\(250\) −25.3619 9.00619i −1.60403 0.569602i
\(251\) 20.5704 4.69507i 1.29839 0.296350i 0.483186 0.875518i \(-0.339480\pi\)
0.815208 + 0.579168i \(0.196622\pi\)
\(252\) 6.71299 + 5.32124i 0.422879 + 0.335207i
\(253\) −5.28147 8.40542i −0.332043 0.528444i
\(254\) −2.79214 + 5.79793i −0.175194 + 0.363795i
\(255\) −18.1033 12.3835i −1.13367 0.775485i
\(256\) 26.5163 12.7696i 1.65727 0.798099i
\(257\) −5.50250 0.619983i −0.343237 0.0386735i −0.0613362 0.998117i \(-0.519536\pi\)
−0.281900 + 0.959444i \(0.590965\pi\)
\(258\) −21.1257 7.39222i −1.31523 0.460219i
\(259\) 11.0817 3.91423i 0.688584 0.243219i
\(260\) −1.86692 + 3.51926i −0.115781 + 0.218255i
\(261\) 1.50555 + 6.59626i 0.0931914 + 0.408298i
\(262\) −20.9748 2.36329i −1.29582 0.146004i
\(263\) −7.51324 + 7.51324i −0.463286 + 0.463286i −0.899731 0.436445i \(-0.856237\pi\)
0.436445 + 0.899731i \(0.356237\pi\)
\(264\) 32.4171 1.99513
\(265\) −15.5354 + 11.4288i −0.954333 + 0.702063i
\(266\) 4.61618 + 39.9154i 0.283036 + 2.44737i
\(267\) 16.2777 1.83406i 0.996182 0.112243i
\(268\) 0.0295927 + 0.262643i 0.00180766 + 0.0160435i
\(269\) 14.2508 + 6.86283i 0.868888 + 0.418434i 0.814553 0.580089i \(-0.196982\pi\)
0.0543342 + 0.998523i \(0.482696\pi\)
\(270\) 21.6855 6.65255i 1.31974 0.404861i
\(271\) 7.64533 + 6.09694i 0.464421 + 0.370363i 0.827565 0.561370i \(-0.189725\pi\)
−0.363145 + 0.931733i \(0.618297\pi\)
\(272\) −1.57238 13.9553i −0.0953396 0.846162i
\(273\) 1.52587 + 1.90190i 0.0923501 + 0.115108i
\(274\) −27.6087 + 22.0172i −1.66790 + 1.33011i
\(275\) −1.48697 + 19.0548i −0.0896675 + 1.14905i
\(276\) 19.3443i 1.16439i
\(277\) 2.19381 19.4706i 0.131814 1.16988i −0.737405 0.675450i \(-0.763949\pi\)
0.869219 0.494427i \(-0.164622\pi\)
\(278\) −10.8125 + 17.2079i −0.648489 + 1.03206i
\(279\) −3.20774 1.54477i −0.192042 0.0924827i
\(280\) −25.5424 0.919963i −1.52645 0.0549783i
\(281\) −20.7729 + 10.0037i −1.23921 + 0.596772i −0.934598 0.355705i \(-0.884241\pi\)
−0.304611 + 0.952477i \(0.598526\pi\)
\(282\) 1.62370 14.4107i 0.0966898 0.858146i
\(283\) −1.39810 0.489215i −0.0831082 0.0290808i 0.288405 0.957509i \(-0.406875\pi\)
−0.371513 + 0.928428i \(0.621161\pi\)
\(284\) −61.4628 + 14.0285i −3.64714 + 0.832437i
\(285\) −24.4632 12.9774i −1.44907 0.768714i
\(286\) 4.21187 + 0.961331i 0.249053 + 0.0568447i
\(287\) −2.71282 11.7268i −0.160133 0.692209i
\(288\) 1.35480 + 0.851275i 0.0798322 + 0.0501619i
\(289\) 7.77053 + 1.77357i 0.457090 + 0.104328i
\(290\) −32.3103 27.8920i −1.89733 1.63787i
\(291\) 5.50349 24.1124i 0.322620 1.41349i
\(292\) −17.2070 + 49.1748i −1.00696 + 2.87774i
\(293\) 17.3309 + 17.3309i 1.01248 + 1.01248i 0.999921 + 0.0125597i \(0.00399799\pi\)
0.0125597 + 0.999921i \(0.496002\pi\)
\(294\) −14.1762 + 29.8851i −0.826774 + 1.74294i
\(295\) −1.64232 + 1.51915i −0.0956194 + 0.0884483i
\(296\) −17.2905 + 8.32665i −1.00499 + 0.483976i
\(297\) −8.57019 13.6394i −0.497293 0.791437i
\(298\) −4.42937 39.3117i −0.256586 2.27727i
\(299\) −0.271312 + 1.18869i −0.0156904 + 0.0687439i
\(300\) 22.2086 29.8985i 1.28221 1.72619i
\(301\) 1.36653 12.4571i 0.0787656 0.718016i
\(302\) −16.7237 + 10.5082i −0.962339 + 0.604678i
\(303\) 36.0840 12.6263i 2.07297 0.725364i
\(304\) −3.94545 17.2862i −0.226287 0.991429i
\(305\) −19.2325 7.58239i −1.10125 0.434166i
\(306\) 8.02422 6.39910i 0.458714 0.365812i
\(307\) 5.65923 16.1732i 0.322989 0.923051i −0.661858 0.749629i \(-0.730232\pi\)
0.984848 0.173422i \(-0.0554823\pi\)
\(308\) 8.64975 + 37.3904i 0.492865 + 2.13051i
\(309\) 0.585177 1.21513i 0.0332895 0.0691264i
\(310\) 22.0758 4.14178i 1.25382 0.235237i
\(311\) 6.03070 4.80932i 0.341970 0.272712i −0.437412 0.899261i \(-0.644105\pi\)
0.779382 + 0.626550i \(0.215533\pi\)
\(312\) −2.81539 2.81539i −0.159390 0.159390i
\(313\) −12.5594 12.5594i −0.709900 0.709900i 0.256614 0.966514i \(-0.417393\pi\)
−0.966514 + 0.256614i \(0.917393\pi\)
\(314\) −15.1276 18.9694i −0.853697 1.07050i
\(315\) −2.52997 4.36792i −0.142548 0.246104i
\(316\) 18.2788 22.9209i 1.02826 1.28940i
\(317\) −31.8098 + 3.58410i −1.78661 + 0.201303i −0.942351 0.334626i \(-0.891390\pi\)
−0.844263 + 0.535929i \(0.819962\pi\)
\(318\) −13.4609 38.4691i −0.754851 2.15724i
\(319\) −13.1520 + 27.3103i −0.736369 + 1.52909i
\(320\) −22.6018 + 1.65879i −1.26348 + 0.0927291i
\(321\) −9.53786 7.60619i −0.532351 0.424536i
\(322\) −16.1142 + 3.72779i −0.898008 + 0.207742i
\(323\) 31.3281 + 3.52983i 1.74314 + 0.196405i
\(324\) 41.1030i 2.28350i
\(325\) 1.78404 1.52575i 0.0989605 0.0846335i
\(326\) 0.847356 + 1.06255i 0.0469307 + 0.0588493i
\(327\) 3.28791 + 2.06593i 0.181822 + 0.114246i
\(328\) 6.49142 + 18.5514i 0.358429 + 1.02433i
\(329\) 8.06606 0.932831i 0.444696 0.0514286i
\(330\) −37.5745 14.8137i −2.06841 0.815468i
\(331\) −15.8118 19.8273i −0.869094 1.08981i −0.995207 0.0977934i \(-0.968822\pi\)
0.126113 0.992016i \(-0.459750\pi\)
\(332\) 5.28784 15.1118i 0.290208 0.829367i
\(333\) −3.20916 2.01645i −0.175861 0.110501i
\(334\) 9.90862 + 4.77174i 0.542176 + 0.261098i
\(335\) 0.0405411 0.150375i 0.00221499 0.00821586i
\(336\) 4.78017 13.7908i 0.260780 0.752348i
\(337\) −10.1248 + 16.1135i −0.551531 + 0.877757i −0.999870 0.0161069i \(-0.994873\pi\)
0.448339 + 0.893863i \(0.352016\pi\)
\(338\) 16.3670 + 26.0480i 0.890249 + 1.41682i
\(339\) −0.519371 + 0.651270i −0.0282083 + 0.0353721i
\(340\) −11.0372 + 40.9392i −0.598576 + 2.22024i
\(341\) −6.92077 14.3711i −0.374781 0.778240i
\(342\) 9.16269 9.16269i 0.495462 0.495462i
\(343\) −18.0915 3.96186i −0.976851 0.213920i
\(344\) 20.4633i 1.10331i
\(345\) 4.18080 10.6045i 0.225087 0.570925i
\(346\) 49.8604 + 11.3803i 2.68051 + 0.611809i
\(347\) −26.9126 + 3.03232i −1.44474 + 0.162783i −0.799257 0.600990i \(-0.794773\pi\)
−0.645485 + 0.763773i \(0.723345\pi\)
\(348\) 50.0145 31.4262i 2.68106 1.68462i
\(349\) 1.95209 + 8.55266i 0.104493 + 0.457814i 0.999921 + 0.0126064i \(0.00401284\pi\)
−0.895428 + 0.445207i \(0.853130\pi\)
\(350\) 29.1857 + 12.7385i 1.56004 + 0.680901i
\(351\) −0.440254 + 1.92888i −0.0234990 + 0.102956i
\(352\) 2.36758 + 6.76616i 0.126193 + 0.360638i
\(353\) −6.73151 + 10.7131i −0.358282 + 0.570203i −0.976423 0.215864i \(-0.930743\pi\)
0.618141 + 0.786067i \(0.287886\pi\)
\(354\) −2.05125 4.25947i −0.109023 0.226388i
\(355\) 36.7255 + 5.59330i 1.94919 + 0.296862i
\(356\) −13.7396 28.5305i −0.728196 1.51211i
\(357\) 20.3377 + 16.1212i 1.07638 + 0.853226i
\(358\) −49.2044 + 17.2174i −2.60053 + 0.909966i
\(359\) −27.7278 + 6.32868i −1.46342 + 0.334015i −0.878759 0.477265i \(-0.841628\pi\)
−0.584657 + 0.811281i \(0.698771\pi\)
\(360\) 4.88431 + 6.63937i 0.257426 + 0.349925i
\(361\) 20.8036 1.09493
\(362\) 28.2870 28.2870i 1.48673 1.48673i
\(363\) −0.793829 + 7.04542i −0.0416652 + 0.369789i
\(364\) 2.49610 3.99854i 0.130831 0.209580i
\(365\) 20.0607 23.2385i 1.05002 1.21636i
\(366\) 27.2383 34.1558i 1.42377 1.78535i
\(367\) 20.3320 7.11449i 1.06132 0.371373i 0.257523 0.966272i \(-0.417094\pi\)
0.803801 + 0.594899i \(0.202808\pi\)
\(368\) 6.88886 2.41052i 0.359107 0.125657i
\(369\) −2.42014 + 3.03476i −0.125987 + 0.157983i
\(370\) 23.8464 1.75013i 1.23971 0.0909848i
\(371\) 19.2865 12.1977i 1.00130 0.633272i
\(372\) −3.48015 + 30.8872i −0.180438 + 1.60143i
\(373\) 2.04408 2.04408i 0.105838 0.105838i −0.652205 0.758043i \(-0.726156\pi\)
0.758043 + 0.652205i \(0.226156\pi\)
\(374\) 45.9813 2.37764
\(375\) −18.6364 + 11.5903i −0.962381 + 0.598523i
\(376\) −12.9264 + 2.95037i −0.666630 + 0.152154i
\(377\) 3.51411 1.22964i 0.180986 0.0633298i
\(378\) −26.1483 + 6.04905i −1.34492 + 0.311130i
\(379\) −13.1593 27.3256i −0.675948 1.40362i −0.902958 0.429729i \(-0.858609\pi\)
0.227010 0.973893i \(-0.427105\pi\)
\(380\) −8.06020 + 52.9231i −0.413480 + 2.71490i
\(381\) 2.27684 + 4.72791i 0.116646 + 0.242218i
\(382\) 12.3195 19.6063i 0.630319 1.00315i
\(383\) 9.95098 + 28.4383i 0.508471 + 1.45313i 0.856748 + 0.515736i \(0.172481\pi\)
−0.348276 + 0.937392i \(0.613233\pi\)
\(384\) 9.01844 39.5124i 0.460221 2.01636i
\(385\) 3.33925 22.3666i 0.170184 1.13991i
\(386\) 0.774749 + 3.39440i 0.0394337 + 0.172770i
\(387\) −3.42192 + 2.15013i −0.173946 + 0.109297i
\(388\) −47.5110 + 5.35320i −2.41200 + 0.271768i
\(389\) 17.9212 + 4.09039i 0.908640 + 0.207391i 0.651203 0.758904i \(-0.274265\pi\)
0.257437 + 0.966295i \(0.417122\pi\)
\(390\) 1.97676 + 4.54987i 0.100097 + 0.230392i
\(391\) 12.9771i 0.656279i
\(392\) 30.0710 + 3.20938i 1.51881 + 0.162098i
\(393\) −12.1708 + 12.1708i −0.613933 + 0.613933i
\(394\) −17.5518 36.4467i −0.884248 1.83616i
\(395\) −14.9741 + 8.61462i −0.753431 + 0.433449i
\(396\) 7.71653 9.67622i 0.387770 0.486248i
\(397\) 0.0263414 + 0.0419221i 0.00132204 + 0.00210401i 0.847385 0.530980i \(-0.178176\pi\)
−0.846063 + 0.533084i \(0.821033\pi\)
\(398\) 14.2810 22.7281i 0.715842 1.13926i
\(399\) 27.7948 + 17.3509i 1.39148 + 0.868633i
\(400\) −13.4148 4.18319i −0.670740 0.209159i
\(401\) −17.2884 8.32566i −0.863342 0.415764i −0.0508294 0.998707i \(-0.516186\pi\)
−0.812512 + 0.582944i \(0.801901\pi\)
\(402\) 0.278674 + 0.175102i 0.0138990 + 0.00873331i
\(403\) −0.647057 + 1.84918i −0.0322322 + 0.0921143i
\(404\) −46.0778 57.7797i −2.29246 2.87465i
\(405\) 8.88339 22.5325i 0.441419 1.11965i
\(406\) 35.8167 + 35.6069i 1.77755 + 1.76714i
\(407\) −5.60818 16.0273i −0.277987 0.794442i
\(408\) −35.8819 22.5461i −1.77642 1.11620i
\(409\) −16.8266 21.0998i −0.832019 1.04332i −0.998360 0.0572509i \(-0.981767\pi\)
0.166340 0.986068i \(-0.446805\pi\)
\(410\) 0.953297 24.4693i 0.0470800 1.20845i
\(411\) 28.7958i 1.42039i
\(412\) −2.59084 0.291917i −0.127641 0.0143817i
\(413\) 2.06471 1.65650i 0.101598 0.0815110i
\(414\) 4.17017 + 3.32560i 0.204953 + 0.163444i
\(415\) −6.16480 + 7.14136i −0.302618 + 0.350556i
\(416\) 0.382012 0.793257i 0.0187297 0.0388926i
\(417\) 5.47349 + 15.6423i 0.268038 + 0.766009i
\(418\) 57.6887 6.49995i 2.82165 0.317923i
\(419\) 5.45642 6.84213i 0.266564 0.334260i −0.630477 0.776208i \(-0.717141\pi\)
0.897041 + 0.441948i \(0.145712\pi\)
\(420\) −28.6983 + 33.4425i −1.40033 + 1.63183i
\(421\) −19.9868 25.0627i −0.974098 1.22148i −0.975165 0.221481i \(-0.928911\pi\)
0.00106610 0.999999i \(-0.499661\pi\)
\(422\) −26.9517 26.9517i −1.31199 1.31199i
\(423\) −1.85159 1.85159i −0.0900272 0.0900272i
\(424\) −29.1332 + 23.2330i −1.41483 + 1.12829i
\(425\) 14.8985 20.0572i 0.722685 0.972919i
\(426\) −34.0614 + 70.7292i −1.65028 + 3.42684i
\(427\) 22.0696 + 10.5484i 1.06802 + 0.510472i
\(428\) −7.78906 + 22.2598i −0.376498 + 1.07597i
\(429\) 2.75430 2.19648i 0.132979 0.106047i
\(430\) 9.35114 23.7189i 0.450952 1.14383i
\(431\) 5.32423 + 23.3270i 0.256459 + 1.12362i 0.925007 + 0.379951i \(0.124059\pi\)
−0.668548 + 0.743669i \(0.733084\pi\)
\(432\) 11.1785 3.91152i 0.537825 0.188193i
\(433\) −14.1772 + 8.90809i −0.681310 + 0.428096i −0.827730 0.561127i \(-0.810368\pi\)
0.146419 + 0.989223i \(0.453225\pi\)
\(434\) −26.4002 + 3.05316i −1.26725 + 0.146556i
\(435\) −34.2097 + 6.41829i −1.64023 + 0.307733i
\(436\) 1.67038 7.31842i 0.0799967 0.350489i
\(437\) 1.83445 + 16.2812i 0.0877536 + 0.778834i
\(438\) 34.5153 + 54.9308i 1.64920 + 2.62469i
\(439\) 14.9487 7.19890i 0.713462 0.343585i −0.0416942 0.999130i \(-0.513276\pi\)
0.755156 + 0.655545i \(0.227561\pi\)
\(440\) −1.43756 + 36.8993i −0.0685328 + 1.75910i
\(441\) 2.62296 + 5.36576i 0.124903 + 0.255512i
\(442\) −3.99343 3.99343i −0.189948 0.189948i
\(443\) 4.44463 12.7020i 0.211171 0.603492i −0.788766 0.614693i \(-0.789280\pi\)
0.999937 + 0.0112014i \(0.00356558\pi\)
\(444\) −7.36290 + 32.2590i −0.349428 + 1.53094i
\(445\) 1.36580 + 18.6097i 0.0647453 + 0.882186i
\(446\) −20.1484 4.59875i −0.954057 0.217757i
\(447\) −27.3149 17.1631i −1.29195 0.811786i
\(448\) 26.8146 0.0787730i 1.26687 0.00372167i
\(449\) 3.12926 + 0.714232i 0.147679 + 0.0337067i 0.295721 0.955274i \(-0.404440\pi\)
−0.148042 + 0.988981i \(0.547297\pi\)
\(450\) −2.62738 9.92766i −0.123856 0.467994i
\(451\) −16.9541 + 3.86967i −0.798339 + 0.182216i
\(452\) 1.51996 + 0.531857i 0.0714929 + 0.0250165i
\(453\) −1.80329 + 16.0047i −0.0847261 + 0.751965i
\(454\) 20.8673 10.0492i 0.979350 0.471630i
\(455\) −2.23253 + 1.65251i −0.104663 + 0.0774708i
\(456\) −48.2050 23.2143i −2.25740 1.08711i
\(457\) −6.89198 + 10.9685i −0.322393 + 0.513086i −0.968121 0.250482i \(-0.919411\pi\)
0.645728 + 0.763567i \(0.276554\pi\)
\(458\) −1.25651 + 11.1518i −0.0587127 + 0.521090i
\(459\) 21.0577i 0.982891i
\(460\) −22.0190 0.857837i −1.02664 0.0399969i
\(461\) −11.9902 + 9.56187i −0.558439 + 0.445341i −0.861592 0.507601i \(-0.830532\pi\)
0.303153 + 0.952942i \(0.401961\pi\)
\(462\) 43.1173 + 20.6084i 2.00600 + 0.958789i
\(463\) 0.253728 + 2.25190i 0.0117917 + 0.104655i 0.998229 0.0594818i \(-0.0189448\pi\)
−0.986438 + 0.164136i \(0.947516\pi\)
\(464\) −17.4238 13.8950i −0.808878 0.645059i
\(465\) 8.58330 16.1801i 0.398041 0.750332i
\(466\) −14.8472 7.15006i −0.687785 0.331220i
\(467\) −0.0125027 0.110964i −0.000578554 0.00513481i 0.993420 0.114532i \(-0.0365367\pi\)
−0.993998 + 0.109397i \(0.965108\pi\)
\(468\) −1.51054 + 0.170197i −0.0698249 + 0.00786738i
\(469\) −0.0603522 + 0.174116i −0.00278681 + 0.00803992i
\(470\) 16.3312 + 2.48725i 0.753303 + 0.114728i
\(471\) −19.7850 −0.911644
\(472\) −3.05641 + 3.05641i −0.140683 + 0.140683i
\(473\) −17.9920 2.02721i −0.827274 0.0932114i
\(474\) −8.12343 35.5911i −0.373122 1.63475i
\(475\) 15.8566 27.2701i 0.727548 1.25124i
\(476\) 16.4307 47.4026i 0.753102 2.17269i
\(477\) −6.94618 2.43057i −0.318044 0.111288i
\(478\) −48.6311 5.47941i −2.22433 0.250622i
\(479\) 7.13454 3.43582i 0.325986 0.156986i −0.263732 0.964596i \(-0.584953\pi\)
0.589717 + 0.807610i \(0.299239\pi\)
\(480\) −4.64731 + 6.79386i −0.212120 + 0.310096i
\(481\) −0.904887 + 1.87902i −0.0412593 + 0.0856758i
\(482\) −3.37828 5.37651i −0.153877 0.244893i
\(483\) −5.81620 + 12.1688i −0.264646 + 0.553699i
\(484\) 13.3624 3.04989i 0.607383 0.138631i
\(485\) 27.2022 + 7.33371i 1.23519 + 0.333007i
\(486\) 16.2232 + 12.9376i 0.735901 + 0.586862i
\(487\) −3.21076 + 2.01745i −0.145493 + 0.0914195i −0.602812 0.797884i \(-0.705953\pi\)
0.457318 + 0.889303i \(0.348810\pi\)
\(488\) −37.7008 13.1921i −1.70663 0.597177i
\(489\) 1.10824 0.0501162
\(490\) −33.3886 17.4616i −1.50834 0.788834i
\(491\) 29.2061 1.31805 0.659027 0.752120i \(-0.270968\pi\)
0.659027 + 0.752120i \(0.270968\pi\)
\(492\) 31.9859 + 11.1923i 1.44203 + 0.504589i
\(493\) 33.5520 21.0821i 1.51111 0.949491i
\(494\) −5.57472 4.44569i −0.250819 0.200021i
\(495\) −6.32143 + 3.63672i −0.284127 + 0.163458i
\(496\) 11.4331 2.60954i 0.513363 0.117172i
\(497\) −42.8817 9.65503i −1.92351 0.433087i
\(498\) −10.6068 16.8806i −0.475302 0.756440i
\(499\) 10.0105 20.7871i 0.448132 0.930556i −0.547466 0.836828i \(-0.684407\pi\)
0.995598 0.0937280i \(-0.0298784\pi\)
\(500\) 33.0475 + 26.6051i 1.47793 + 1.18982i
\(501\) 8.07997 3.89111i 0.360986 0.173842i
\(502\) −50.4716 5.68678i −2.25266 0.253814i
\(503\) −0.165090 0.0577675i −0.00736100 0.00257573i 0.326596 0.945164i \(-0.394098\pi\)
−0.333957 + 0.942588i \(0.608384\pi\)
\(504\) −5.21292 8.24246i −0.232202 0.367148i
\(505\) 12.7720 + 41.6331i 0.568345 + 1.85265i
\(506\) 5.31746 + 23.2973i 0.236390 + 1.03569i
\(507\) 24.9281 + 2.80872i 1.10710 + 0.124740i
\(508\) 7.17316 7.17316i 0.318258 0.318258i
\(509\) 1.85712 0.0823153 0.0411576 0.999153i \(-0.486895\pi\)
0.0411576 + 0.999153i \(0.486895\pi\)
\(510\) 31.2876 + 42.5301i 1.38544 + 1.88326i
\(511\) −25.6095 + 25.7604i −1.13290 + 1.13957i
\(512\) −29.3676 + 3.30893i −1.29788 + 0.146235i
\(513\) 2.97674 + 26.4193i 0.131426 + 1.16644i
\(514\) 12.0095 + 5.78347i 0.529716 + 0.255098i
\(515\) 1.35719 + 0.719972i 0.0598051 + 0.0317258i
\(516\) 27.5848 + 21.9981i 1.21435 + 0.968413i
\(517\) −1.31350 11.6577i −0.0577678 0.512703i
\(518\) −28.2912 + 0.0831105i −1.24304 + 0.00365167i
\(519\) 32.6056 26.0021i 1.43123 1.14137i
\(520\) 3.32952 3.07982i 0.146009 0.135059i
\(521\) 4.36996i 0.191451i 0.995408 + 0.0957257i \(0.0305172\pi\)
−0.995408 + 0.0957257i \(0.969483\pi\)
\(522\) 1.82357 16.1846i 0.0798153 0.708380i
\(523\) −5.72245 + 9.10722i −0.250225 + 0.398231i −0.948092 0.317997i \(-0.896990\pi\)
0.697867 + 0.716228i \(0.254133\pi\)
\(524\) 29.9784 + 14.4368i 1.30961 + 0.630676i
\(525\) 22.9600 12.1306i 1.00206 0.529422i
\(526\) 23.0445 11.0977i 1.00479 0.483881i
\(527\) −2.33464 + 20.7205i −0.101699 + 0.902601i
\(528\) −19.9044 6.96484i −0.866226 0.303106i
\(529\) 15.8483 3.61726i 0.689055 0.157272i
\(530\) 44.3850 13.6162i 1.92796 0.591449i
\(531\) −0.832246 0.189955i −0.0361164 0.00824334i
\(532\) 13.9133 61.7945i 0.603219 2.67913i
\(533\) 1.80853 + 1.13637i 0.0783360 + 0.0492218i
\(534\) −38.4434 8.77446i −1.66361 0.379708i
\(535\) 9.08083 10.5193i 0.392598 0.454790i
\(536\) 0.0669586 0.293365i 0.00289217 0.0126714i
\(537\) −14.0399 + 40.1236i −0.605865 + 1.73146i
\(538\) −26.9234 26.9234i −1.16075 1.16075i
\(539\) −5.80081 + 26.1215i −0.249859 + 1.12513i
\(540\) −35.7300 1.39200i −1.53757 0.0599023i
\(541\) −28.8773 + 13.9066i −1.24153 + 0.597891i −0.935229 0.354043i \(-0.884807\pi\)
−0.306304 + 0.951934i \(0.599092\pi\)
\(542\) −12.5238 19.9315i −0.537944 0.856132i
\(543\) −3.65240 32.4159i −0.156739 1.39110i
\(544\) 2.08523 9.13599i 0.0894035 0.391703i
\(545\) −2.49739 + 3.65090i −0.106976 + 0.156388i
\(546\) −1.95488 5.53452i −0.0836611 0.236855i
\(547\) −17.6460 + 11.0877i −0.754487 + 0.474075i −0.853553 0.521005i \(-0.825557\pi\)
0.0990667 + 0.995081i \(0.468414\pi\)
\(548\) 52.5429 18.3855i 2.24452 0.785391i
\(549\) −1.75532 7.69054i −0.0749151 0.328224i
\(550\) 18.5282 42.1129i 0.790045 1.79570i
\(551\) 39.1145 31.1928i 1.66634 1.32886i
\(552\) 7.27388 20.7875i 0.309597 0.884777i
\(553\) 18.3901 8.92284i 0.782025 0.379438i
\(554\) −20.4649 + 42.4957i −0.869468 + 1.80547i
\(555\) 11.0083 16.0929i 0.467275 0.683105i
\(556\) 25.0474 19.9746i 1.06225 0.847113i
\(557\) 4.80112 + 4.80112i 0.203430 + 0.203430i 0.801468 0.598038i \(-0.204053\pi\)
−0.598038 + 0.801468i \(0.704053\pi\)
\(558\) 6.06024 + 6.06024i 0.256551 + 0.256551i
\(559\) 1.38653 + 1.73865i 0.0586439 + 0.0735371i
\(560\) 15.4856 + 6.05267i 0.654385 + 0.255772i
\(561\) 23.3780 29.3151i 0.987019 1.23768i
\(562\) 55.1524 6.21418i 2.32646 0.262129i
\(563\) −1.69522 4.84466i −0.0714449 0.204178i 0.902624 0.430430i \(-0.141638\pi\)
−0.974069 + 0.226253i \(0.927353\pi\)
\(564\) −9.91884 + 20.5967i −0.417658 + 0.867277i
\(565\) −0.718287 0.620063i −0.0302185 0.0260862i
\(566\) 2.78771 + 2.22313i 0.117176 + 0.0934449i
\(567\) −12.3583 + 25.8563i −0.519000 + 1.08586i
\(568\) 71.3232 + 8.03620i 2.99266 + 0.337191i
\(569\) 4.15026i 0.173988i −0.996209 0.0869940i \(-0.972274\pi\)
0.996209 0.0869940i \(-0.0277261\pi\)
\(570\) 45.2659 + 48.9359i 1.89598 + 2.04970i
\(571\) 10.4305 + 13.0795i 0.436505 + 0.547360i 0.950618 0.310362i \(-0.100450\pi\)
−0.514113 + 0.857722i \(0.671879\pi\)
\(572\) −5.76642 3.62328i −0.241106 0.151497i
\(573\) −6.23637 17.8225i −0.260528 0.744546i
\(574\) −3.15951 + 28.8016i −0.131875 + 1.20216i
\(575\) 11.8853 + 5.22912i 0.495651 + 0.218069i
\(576\) −5.39157 6.76081i −0.224649 0.281701i
\(577\) 0.00699793 0.0199989i 0.000291328 0.000832566i −0.943738 0.330695i \(-0.892717\pi\)
0.944029 + 0.329863i \(0.107002\pi\)
\(578\) −16.2456 10.2078i −0.675728 0.424588i
\(579\) 2.55798 + 1.23186i 0.106306 + 0.0511942i
\(580\) 33.5535 + 58.3234i 1.39323 + 2.42175i
\(581\) 7.86998 7.91636i 0.326502 0.328426i
\(582\) −31.6753 + 50.4109i −1.31298 + 2.08960i
\(583\) −17.5411 27.9165i −0.726479 1.15618i
\(584\) 36.9815 46.3733i 1.53030 1.91894i
\(585\) 0.864856 + 0.233165i 0.0357574 + 0.00964018i
\(586\) −25.5991 53.1571i −1.05749 2.19590i
\(587\) 10.9642 10.9642i 0.452540 0.452540i −0.443657 0.896197i \(-0.646319\pi\)
0.896197 + 0.443657i \(0.146319\pi\)
\(588\) 36.6527 37.0860i 1.51153 1.52940i
\(589\) 26.3263i 1.08475i
\(590\) 4.93937 2.14598i 0.203351 0.0883487i
\(591\) −32.1601 7.34033i −1.32289 0.301941i
\(592\) 12.4055 1.39776i 0.509862 0.0574476i
\(593\) 14.5546 9.14524i 0.597684 0.375550i −0.198952 0.980009i \(-0.563754\pi\)
0.796636 + 0.604459i \(0.206611\pi\)
\(594\) 8.62858 + 37.8043i 0.354035 + 1.55113i
\(595\) −19.2521 + 22.4348i −0.789260 + 0.919735i
\(596\) −13.8770 + 60.7990i −0.568423 + 2.49042i
\(597\) −7.22933 20.6602i −0.295877 0.845567i
\(598\) 1.56153 2.48516i 0.0638558 0.101626i
\(599\) −2.24680 4.66552i −0.0918016 0.190628i 0.850012 0.526763i \(-0.176594\pi\)
−0.941814 + 0.336135i \(0.890880\pi\)
\(600\) −35.1079 + 23.7782i −1.43327 + 0.970740i
\(601\) −2.75731 5.72562i −0.112473 0.233553i 0.837132 0.547000i \(-0.184230\pi\)
−0.949606 + 0.313447i \(0.898516\pi\)
\(602\) −13.0090 + 27.2178i −0.530208 + 1.10931i
\(603\) 0.0560927 0.0196277i 0.00228427 0.000799301i
\(604\) 30.3546 6.92824i 1.23511 0.281906i
\(605\) −7.98436 1.21602i −0.324610 0.0494383i
\(606\) −92.0263 −3.73831
\(607\) −16.8370 + 16.8370i −0.683392 + 0.683392i −0.960763 0.277371i \(-0.910537\pi\)
0.277371 + 0.960763i \(0.410537\pi\)
\(608\) 1.32468 11.7569i 0.0537230 0.476805i
\(609\) 40.9110 4.73131i 1.65780 0.191722i
\(610\) 37.6704 + 32.5191i 1.52523 + 1.31666i
\(611\) −0.898380 + 1.12653i −0.0363446 + 0.0455746i
\(612\) −15.2711 + 5.34359i −0.617297 + 0.216002i
\(613\) −28.8993 + 10.1123i −1.16723 + 0.408432i −0.843193 0.537611i \(-0.819327\pi\)
−0.324039 + 0.946044i \(0.605041\pi\)
\(614\) −25.7171 + 32.2482i −1.03786 + 1.30143i
\(615\) −15.1155 13.0485i −0.609517 0.526167i
\(616\) 4.76449 43.4324i 0.191967 1.74994i
\(617\) 4.33054 38.4346i 0.174341 1.54732i −0.536460 0.843925i \(-0.680239\pi\)
0.710801 0.703393i \(-0.248332\pi\)
\(618\) −2.29570 + 2.29570i −0.0923464 + 0.0923464i
\(619\) −36.6943 −1.47487 −0.737433 0.675420i \(-0.763962\pi\)
−0.737433 + 0.675420i \(0.763962\pi\)
\(620\) −35.0035 5.33105i −1.40578 0.214100i
\(621\) −10.6693 + 2.43520i −0.428144 + 0.0977211i
\(622\) −17.5262 + 6.13269i −0.702738 + 0.245899i
\(623\) −0.0648596 22.0785i −0.00259855 0.884555i
\(624\) 1.12379 + 2.33357i 0.0449874 + 0.0934174i
\(625\) −12.3665 21.7272i −0.494658 0.869088i
\(626\) 18.5513 + 38.5221i 0.741458 + 1.53965i
\(627\) 25.1863 40.0837i 1.00584 1.60079i
\(628\) 12.6323 + 36.1011i 0.504084 + 1.44059i
\(629\) −4.93936 + 21.6408i −0.196945 + 0.862874i
\(630\) 2.27570 + 11.9360i 0.0906660 + 0.475540i
\(631\) 6.83112 + 29.9291i 0.271943 + 1.19146i 0.907717 + 0.419584i \(0.137824\pi\)
−0.635774 + 0.771875i \(0.719319\pi\)
\(632\) −28.2613 + 17.7577i −1.12417 + 0.706365i
\(633\) −30.8858 + 3.47999i −1.22760 + 0.138317i
\(634\) 75.1256 + 17.1469i 2.98362 + 0.680992i
\(635\) −5.48259 + 2.38199i −0.217570 + 0.0945264i
\(636\) 64.2475i 2.54758i
\(637\) 2.77242 1.76483i 0.109847 0.0699253i
\(638\) 51.5962 51.5962i 2.04271 2.04271i
\(639\) 6.15030 + 12.7712i 0.243302 + 0.505222i
\(640\) 44.5757 + 12.0176i 1.76201 + 0.475037i
\(641\) 11.8468 14.8554i 0.467919 0.586752i −0.490741 0.871306i \(-0.663274\pi\)
0.958660 + 0.284553i \(0.0918453\pi\)
\(642\) 15.6240 + 24.8654i 0.616629 + 0.981359i
\(643\) 22.1659 35.2769i 0.874139 1.39118i −0.0457283 0.998954i \(-0.514561\pi\)
0.919867 0.392230i \(-0.128296\pi\)
\(644\) 25.9175 + 2.84313i 1.02129 + 0.112035i
\(645\) −10.3675 18.0210i −0.408219 0.709576i
\(646\) −68.3753 32.9278i −2.69019 1.29553i
\(647\) 0.974289 + 0.612187i 0.0383033 + 0.0240675i 0.551048 0.834474i \(-0.314228\pi\)
−0.512744 + 0.858541i \(0.671371\pi\)
\(648\) 15.4556 44.1695i 0.607153 1.73514i
\(649\) −2.38452 2.99009i −0.0936005 0.117371i
\(650\) −5.26662 + 2.04831i −0.206574 + 0.0803412i
\(651\) −11.4760 + 18.3836i −0.449779 + 0.720509i
\(652\) −0.707587 2.02217i −0.0277113 0.0791942i
\(653\) 9.25544 + 5.81558i 0.362193 + 0.227581i 0.700818 0.713341i \(-0.252819\pi\)
−0.338624 + 0.940922i \(0.609962\pi\)
\(654\) −5.82805 7.30815i −0.227895 0.285771i
\(655\) −13.3138 14.3933i −0.520215 0.562392i
\(656\) 12.7854i 0.499186i
\(657\) 11.6404 + 1.31156i 0.454135 + 0.0511688i
\(658\) −19.0688 4.29344i −0.743380 0.167376i
\(659\) 10.5907 + 8.44580i 0.412555 + 0.329001i 0.807675 0.589628i \(-0.200726\pi\)
−0.395120 + 0.918629i \(0.629297\pi\)
\(660\) 48.1953 + 41.6047i 1.87600 + 1.61946i
\(661\) −16.9130 + 35.1202i −0.657839 + 1.36602i 0.258655 + 0.965970i \(0.416721\pi\)
−0.916494 + 0.400048i \(0.868994\pi\)
\(662\) 20.1627 + 57.6216i 0.783644 + 2.23953i
\(663\) −4.57634 + 0.515630i −0.177730 + 0.0200254i
\(664\) −11.3647 + 14.2509i −0.441035 + 0.553041i
\(665\) −20.9825 + 30.8684i −0.813668 + 1.19703i
\(666\) 5.68845 + 7.13309i 0.220423 + 0.276402i
\(667\) 14.5617 + 14.5617i 0.563833 + 0.563833i
\(668\) −12.2589 12.2589i −0.474310 0.474310i
\(669\) −13.1758 + 10.5074i −0.509408 + 0.406239i
\(670\) −0.211671 + 0.309440i −0.00817756 + 0.0119547i
\(671\) 15.3338 31.8410i 0.591955 1.22921i
\(672\) 6.05002 7.63237i 0.233384 0.294425i
\(673\) 2.59583 7.41845i 0.100062 0.285960i −0.882960 0.469448i \(-0.844453\pi\)
0.983022 + 0.183488i \(0.0587387\pi\)
\(674\) 35.8159 28.5622i 1.37958 1.10018i
\(675\) 19.2861 + 8.48523i 0.742324 + 0.326597i
\(676\) −10.7911 47.2789i −0.415042 1.81842i
\(677\) 33.2751 11.6435i 1.27887 0.447495i 0.396490 0.918039i \(-0.370228\pi\)
0.882376 + 0.470544i \(0.155942\pi\)
\(678\) 1.69787 1.06685i 0.0652065 0.0409719i
\(679\) −31.4968 10.9175i −1.20874 0.418974i
\(680\) 27.2546 39.8433i 1.04517 1.52792i
\(681\) 4.20265 18.4130i 0.161046 0.705588i
\(682\) 4.29910 + 38.1555i 0.164621 + 1.46105i
\(683\) −19.7689 31.4621i −0.756438 1.20386i −0.973719 0.227755i \(-0.926862\pi\)
0.217281 0.976109i \(-0.430281\pi\)
\(684\) −18.4039 + 8.86286i −0.703691 + 0.338880i
\(685\) −32.7773 1.27697i −1.25236 0.0487904i
\(686\) 37.9565 + 23.3856i 1.44919 + 0.892867i
\(687\) 6.47092 + 6.47092i 0.246881 + 0.246881i
\(688\) 4.39655 12.5646i 0.167617 0.479021i
\(689\) −0.901095 + 3.94796i −0.0343290 + 0.150405i
\(690\) −17.9305 + 20.7708i −0.682601 + 0.790731i
\(691\) −10.5237 2.40196i −0.400339 0.0913748i 0.0176106 0.999845i \(-0.494394\pi\)
−0.417950 + 0.908470i \(0.637251\pi\)
\(692\) −68.2633 42.8927i −2.59498 1.63054i
\(693\) 7.76348 3.76683i 0.294910 0.143090i
\(694\) 63.5598 + 14.5071i 2.41270 + 0.550682i
\(695\) −18.0479 + 5.53662i −0.684595 + 0.210016i
\(696\) −65.5628 + 14.9643i −2.48515 + 0.567220i
\(697\) 21.4576 + 7.50833i 0.812763 + 0.284398i
\(698\) 2.36442 20.9848i 0.0894947 0.794287i
\(699\) −12.1072 + 5.83050i −0.457935 + 0.220530i
\(700\) −36.7938 34.1493i −1.39068 1.29072i
\(701\) −23.1242 11.1360i −0.873387 0.420601i −0.0571825 0.998364i \(-0.518212\pi\)
−0.816205 + 0.577763i \(0.803926\pi\)
\(702\) 2.53388 4.03265i 0.0956352 0.152203i
\(703\) −3.13783 + 27.8490i −0.118345 + 1.05034i
\(704\) 38.7416i 1.46013i
\(705\) 9.88891 9.14728i 0.372438 0.344506i
\(706\) 23.8124 18.9898i 0.896192 0.714690i
\(707\) −11.6133 50.2010i −0.436764 1.88800i
\(708\) 0.834427 + 7.40574i 0.0313597 + 0.278325i
\(709\) −24.0135 19.1502i −0.901848 0.719200i 0.0584164 0.998292i \(-0.481395\pi\)
−0.960264 + 0.279093i \(0.909966\pi\)
\(710\) −78.9982 41.9075i −2.96475 1.57276i
\(711\) −5.93899 2.86006i −0.222729 0.107261i
\(712\) 4.03656 + 35.8254i 0.151276 + 1.34261i
\(713\) −10.7684 + 1.21331i −0.403281 + 0.0454389i
\(714\) −33.3926 52.7991i −1.24969 1.97596i
\(715\) 2.37804 + 3.23253i 0.0889337 + 0.120890i
\(716\) 82.1766 3.07108
\(717\) −28.2185 + 28.2185i −1.05384 + 1.05384i
\(718\) 68.0329 + 7.66547i 2.53896 + 0.286073i
\(719\) −6.59965 28.9149i −0.246125 1.07835i −0.935329 0.353778i \(-0.884897\pi\)
0.689204 0.724567i \(-0.257960\pi\)
\(720\) −1.57253 5.12602i −0.0586048 0.191036i
\(721\) −1.54203 0.962612i −0.0574280 0.0358496i
\(722\) −47.2685 16.5400i −1.75915 0.615554i
\(723\) −5.14535 0.579742i −0.191358 0.0215608i
\(724\) −56.8164 + 27.3613i −2.11157 + 1.01688i
\(725\) −5.78867 39.2243i −0.214986 1.45676i
\(726\) 7.40518 15.3770i 0.274832 0.570694i
\(727\) 3.77066 + 6.00096i 0.139846 + 0.222563i 0.909303 0.416135i \(-0.136616\pi\)
−0.769457 + 0.638699i \(0.779473\pi\)
\(728\) −4.18585 + 3.35827i −0.155138 + 0.124466i
\(729\) −15.1838 + 3.46559i −0.562361 + 0.128355i
\(730\) −64.0564 + 36.8516i −2.37083 + 1.36394i
\(731\) 18.5051 + 14.7573i 0.684436 + 0.545820i
\(732\) −58.3116 + 36.6396i −2.15526 + 1.35424i
\(733\) 4.68195 + 1.63829i 0.172932 + 0.0605115i 0.415356 0.909659i \(-0.363657\pi\)
−0.242424 + 0.970170i \(0.577943\pi\)
\(734\) −51.8535 −1.91395
\(735\) −28.1080 + 12.4088i −1.03678 + 0.457704i
\(736\) 4.87007 0.179513
\(737\) 0.251303 + 0.0879348i 0.00925687 + 0.00323912i
\(738\) 7.91168 4.97124i 0.291233 0.182994i
\(739\) 10.4323 + 8.31945i 0.383757 + 0.306036i 0.796300 0.604902i \(-0.206788\pi\)
−0.412543 + 0.910938i \(0.635359\pi\)
\(740\) −36.3928 9.81148i −1.33782 0.360677i
\(741\) −5.66864 + 1.29383i −0.208243 + 0.0475300i
\(742\) −53.5193 + 12.3810i −1.96476 + 0.454519i
\(743\) −14.8665 23.6600i −0.545400 0.868000i 0.454339 0.890829i \(-0.349875\pi\)
−0.999739 + 0.0228291i \(0.992733\pi\)
\(744\) 15.3540 31.8830i 0.562906 1.16889i
\(745\) 20.7475 30.3305i 0.760128 1.11122i
\(746\) −6.26958 + 3.01927i −0.229545 + 0.110543i
\(747\) −3.57718 0.403052i −0.130882 0.0147469i
\(748\) −68.4167 23.9400i −2.50156 0.875334i
\(749\) −11.5926 + 11.6609i −0.423584 + 0.426080i
\(750\) 51.5594 11.5179i 1.88268 0.420573i
\(751\) 5.41756 + 23.7359i 0.197690 + 0.866135i 0.972307 + 0.233705i \(0.0750851\pi\)
−0.774618 + 0.632430i \(0.782058\pi\)
\(752\) 8.57083 + 0.965701i 0.312546 + 0.0352155i
\(753\) −29.2865 + 29.2865i −1.06726 + 1.06726i
\(754\) −8.96217 −0.326383
\(755\) −18.1376 2.76236i −0.660095 0.100533i
\(756\) 42.0561 + 4.61351i 1.52957 + 0.167792i
\(757\) 11.4745 1.29286i 0.417046 0.0469898i 0.0990514 0.995082i \(-0.468419\pi\)
0.317995 + 0.948093i \(0.396991\pi\)
\(758\) 8.17440 + 72.5498i 0.296907 + 2.63513i
\(759\) 17.5565 + 8.45479i 0.637262 + 0.306889i
\(760\) 28.5617 53.8406i 1.03604 1.95300i
\(761\) 3.94851 + 3.14883i 0.143133 + 0.114145i 0.692439 0.721477i \(-0.256536\pi\)
−0.549305 + 0.835622i \(0.685108\pi\)
\(762\) −1.41435 12.5527i −0.0512363 0.454735i
\(763\) 3.25117 4.10150i 0.117700 0.148484i
\(764\) −28.5384 + 22.7586i −1.03248 + 0.823379i
\(765\) 9.52641 + 0.371139i 0.344428 + 0.0134186i
\(766\) 72.5271i 2.62051i
\(767\) −0.0525934 + 0.466780i −0.00189904 + 0.0168544i
\(768\) −30.7364 + 48.9167i −1.10910 + 1.76513i
\(769\) 9.60663 + 4.62631i 0.346424 + 0.166829i 0.599002 0.800748i \(-0.295564\pi\)
−0.252578 + 0.967577i \(0.581278\pi\)
\(770\) −25.3699 + 48.1651i −0.914267 + 1.73575i
\(771\) 9.79312 4.71612i 0.352691 0.169847i
\(772\) 0.614516 5.45398i 0.0221169 0.196293i
\(773\) −18.2181 6.37480i −0.655261 0.229286i −0.0178866 0.999840i \(-0.505694\pi\)
−0.637374 + 0.770554i \(0.719980\pi\)
\(774\) 9.48452 2.16478i 0.340914 0.0778114i
\(775\) 18.0366 + 10.4876i 0.647893 + 0.376725i
\(776\) 53.0685 + 12.1125i 1.90505 + 0.434815i
\(777\) −14.3309 + 18.0791i −0.514118 + 0.648583i
\(778\) −37.4672 23.5422i −1.34327 0.844030i
\(779\) 27.9823 + 6.38678i 1.00257 + 0.228830i
\(780\) −0.572387 7.79905i −0.0204947 0.279251i
\(781\) −14.1314 + 61.9138i −0.505662 + 2.21545i
\(782\) 10.3175 29.4856i 0.368952 1.05440i
\(783\) 23.6292 + 23.6292i 0.844438 + 0.844438i
\(784\) −17.7743 8.43136i −0.634796 0.301120i
\(785\) 0.877378 22.5206i 0.0313149 0.803794i
\(786\) 37.3300 17.9772i 1.33152 0.641225i
\(787\) 12.3639 + 19.6770i 0.440725 + 0.701410i 0.991043 0.133545i \(-0.0426361\pi\)
−0.550317 + 0.834956i \(0.685493\pi\)
\(788\) 7.13989 + 63.3682i 0.254348 + 2.25740i
\(789\) 4.64114 20.3342i 0.165229 0.723916i
\(790\) 40.8724 7.66832i 1.45417 0.272827i
\(791\) 0.796237 + 0.791572i 0.0283109 + 0.0281451i
\(792\) −11.9307 + 7.49655i −0.423938 + 0.266378i
\(793\) −4.09708 + 1.43363i −0.145492 + 0.0509097i
\(794\) −0.0265209 0.116195i −0.000941190 0.00412362i
\(795\) 13.8855 35.2201i 0.492468 1.24913i
\(796\) −33.0824 + 26.3823i −1.17257 + 0.935096i
\(797\) −8.56282 + 24.4711i −0.303311 + 0.866812i 0.686840 + 0.726808i \(0.258997\pi\)
−0.990151 + 0.140003i \(0.955289\pi\)
\(798\) −49.3585 61.5220i −1.74727 2.17785i
\(799\) −6.65401 + 13.8172i −0.235402 + 0.488817i
\(800\) −7.52714 5.59116i −0.266124 0.197677i
\(801\) −5.56668 + 4.43928i −0.196689 + 0.156854i
\(802\) 32.6622 + 32.6622i 1.15334 + 1.15334i
\(803\) 37.1094 + 37.1094i 1.30956 + 1.30956i
\(804\) −0.323479 0.405630i −0.0114082 0.0143055i
\(805\) −13.5934 7.16001i −0.479104 0.252357i
\(806\) 2.94040 3.68714i 0.103571 0.129874i
\(807\) −30.8534 + 3.47634i −1.08609 + 0.122373i
\(808\) 27.7891 + 79.4166i 0.977616 + 2.79387i
\(809\) 21.8583 45.3893i 0.768497 1.59580i −0.0342000 0.999415i \(-0.510888\pi\)
0.802697 0.596386i \(-0.203397\pi\)
\(810\) −38.0988 + 44.1340i −1.33865 + 1.55071i
\(811\) −7.83659 6.24947i −0.275180 0.219449i 0.476169 0.879354i \(-0.342025\pi\)
−0.751349 + 0.659905i \(0.770596\pi\)
\(812\) −34.7539 71.6282i −1.21962 2.51366i
\(813\) −19.0746 2.14919i −0.668975 0.0753754i
\(814\) 40.8749i 1.43266i
\(815\) −0.0491455 + 1.26147i −0.00172149 + 0.0441873i
\(816\) 17.1877 + 21.5527i 0.601691 + 0.754497i
\(817\) 25.3028 + 15.8988i 0.885234 + 0.556229i
\(818\) 21.4567 + 61.3197i 0.750215 + 2.14399i
\(819\) −1.00140 0.347105i −0.0349916 0.0121288i
\(820\) −14.1583 + 35.9121i −0.494429 + 1.25410i
\(821\) 5.05823 + 6.34282i 0.176533 + 0.221366i 0.862224 0.506527i \(-0.169071\pi\)
−0.685691 + 0.727893i \(0.740500\pi\)
\(822\) 22.8942 65.4279i 0.798528 2.28206i
\(823\) 7.80165 + 4.90210i 0.271948 + 0.170877i 0.661101 0.750297i \(-0.270089\pi\)
−0.389153 + 0.921173i \(0.627232\pi\)
\(824\) 2.67436 + 1.28791i 0.0931659 + 0.0448663i
\(825\) −17.4286 33.2237i −0.606786 1.15670i
\(826\) −6.00831 + 2.12223i −0.209056 + 0.0738419i
\(827\) 6.13777 9.76820i 0.213431 0.339674i −0.722801 0.691057i \(-0.757146\pi\)
0.936232 + 0.351383i \(0.114288\pi\)
\(828\) −4.47344 7.11943i −0.155463 0.247417i
\(829\) 29.1688 36.5765i 1.01307 1.27035i 0.0506744 0.998715i \(-0.483863\pi\)
0.962399 0.271639i \(-0.0875657\pi\)
\(830\) 19.6850 11.3248i 0.683277 0.393089i
\(831\) 16.6880 + 34.6530i 0.578901 + 1.20210i
\(832\) −3.36467 + 3.36467i −0.116649 + 0.116649i
\(833\) 24.5883 24.8790i 0.851935 0.862005i
\(834\) 39.8932i 1.38139i
\(835\) 4.07080 + 9.36970i 0.140876 + 0.324252i
\(836\) −89.2205 20.3640i −3.08576 0.704304i
\(837\) −17.4738 + 1.96883i −0.603984 + 0.0680526i
\(838\) −17.8376 + 11.2081i −0.616189 + 0.387177i
\(839\) 7.71788 + 33.8142i 0.266451 + 1.16740i 0.914110 + 0.405467i \(0.132891\pi\)
−0.647659 + 0.761930i \(0.724252\pi\)
\(840\) 43.4145 25.1464i 1.49794 0.867632i
\(841\) 7.53951 33.0328i 0.259983 1.13906i
\(842\) 25.4866 + 72.8364i 0.878325 + 2.51011i
\(843\) 24.0790 38.3214i 0.829323 1.31986i
\(844\) 26.0698 + 54.1345i 0.897359 + 1.86338i
\(845\) −4.30252 + 28.2502i −0.148011 + 0.971838i
\(846\) 2.73494 + 5.67916i 0.0940292 + 0.195254i
\(847\) 9.32278 + 2.09907i 0.320334 + 0.0721248i
\(848\) 22.8797 8.00594i 0.785691 0.274925i
\(849\) 2.83468 0.646996i 0.0972858 0.0222048i
\(850\) −49.7980 + 33.7276i −1.70806 + 1.15685i
\(851\) −11.5359 −0.395446
\(852\) 87.5057 87.5057i 2.99790 2.99790i
\(853\) 0.718572 6.37751i 0.0246035 0.218362i −0.975394 0.220467i \(-0.929242\pi\)
0.999998 + 0.00210579i \(0.000670294\pi\)
\(854\) −41.7585 41.5139i −1.42895 1.42058i
\(855\) 12.0044 0.881026i 0.410542 0.0301305i
\(856\) 16.7403 20.9917i 0.572173 0.717482i
\(857\) 28.6547 10.0267i 0.978827 0.342506i 0.207001 0.978341i \(-0.433630\pi\)
0.771825 + 0.635834i \(0.219344\pi\)
\(858\) −8.00447 + 2.80088i −0.273268 + 0.0956206i
\(859\) −33.8520 + 42.4491i −1.15502 + 1.44835i −0.282832 + 0.959170i \(0.591274\pi\)
−0.872185 + 0.489176i \(0.837298\pi\)
\(860\) −26.2630 + 30.4233i −0.895559 + 1.03742i
\(861\) 16.7559 + 16.6577i 0.571039 + 0.567694i
\(862\) 6.44884 57.2350i 0.219648 1.94943i
\(863\) −33.9943 + 33.9943i −1.15718 + 1.15718i −0.172102 + 0.985079i \(0.555056\pi\)
−0.985079 + 0.172102i \(0.944944\pi\)
\(864\) 7.90260 0.268852
\(865\) 28.1514 + 38.2670i 0.957177 + 1.30112i
\(866\) 39.2948 8.96878i 1.33529 0.304772i
\(867\) −14.7676 + 5.16739i −0.501532 + 0.175494i
\(868\) 40.8712 + 9.20234i 1.38726 + 0.312348i
\(869\) −12.8135 26.6075i −0.434668 0.902598i
\(870\) 82.8319 + 12.6153i 2.80826 + 0.427700i
\(871\) −0.0141884 0.0294625i −0.000480755 0.000998299i
\(872\) −4.54688 + 7.23631i −0.153977 + 0.245052i
\(873\) 3.55057 + 10.1469i 0.120168 + 0.343422i
\(874\) 8.77631 38.4515i 0.296863 1.30064i
\(875\) 12.7897 + 26.6725i 0.432369 + 0.901697i
\(876\) −22.7566 99.7031i −0.768874 3.36866i
\(877\) −21.0854 + 13.2488i −0.712003 + 0.447381i −0.838724 0.544557i \(-0.816698\pi\)
0.126721 + 0.991938i \(0.459555\pi\)
\(878\) −39.6889 + 4.47187i −1.33944 + 0.150918i
\(879\) −46.9051 10.7058i −1.58207 0.361097i
\(880\) 8.81051 22.3476i 0.297002 0.753338i
\(881\) 36.5759i 1.23227i −0.787639 0.616137i \(-0.788697\pi\)
0.787639 0.616137i \(-0.211303\pi\)
\(882\) −1.69365 14.2771i −0.0570282 0.480736i
\(883\) −8.66966 + 8.66966i −0.291757 + 0.291757i −0.837774 0.546017i \(-0.816143\pi\)
0.546017 + 0.837774i \(0.316143\pi\)
\(884\) 3.86276 + 8.02110i 0.129919 + 0.269779i
\(885\) 1.14314 4.24013i 0.0384261 0.142530i
\(886\) −20.1976 + 25.3270i −0.678552 + 0.850877i
\(887\) −13.0295 20.7364i −0.437489 0.696260i 0.553102 0.833113i \(-0.313444\pi\)
−0.990591 + 0.136854i \(0.956301\pi\)
\(888\) 20.0422 31.8971i 0.672574 1.07040i
\(889\) 6.66909 2.35563i 0.223674 0.0790052i
\(890\) 11.6925 43.3697i 0.391932 1.45376i
\(891\) 37.3043 + 17.9648i 1.24974 + 0.601843i
\(892\) 27.5850 + 17.3328i 0.923615 + 0.580346i
\(893\) −6.39499 + 18.2758i −0.214000 + 0.611577i
\(894\) 48.4175 + 60.7137i 1.61932 + 2.03057i
\(895\) −45.0488 17.7604i −1.50581 0.593665i
\(896\) −51.6132 17.8902i −1.72427 0.597670i
\(897\) −0.790479 2.25906i −0.0263933 0.0754278i
\(898\) −6.54224 4.11076i −0.218317 0.137178i
\(899\) 20.6311 + 25.8705i 0.688084 + 0.862830i
\(900\) −1.25947 + 16.1395i −0.0419823 + 0.537985i
\(901\) 43.1002i 1.43587i
\(902\) 41.5986 + 4.68704i 1.38508 + 0.156061i
\(903\) 10.7384 + 22.1320i 0.357352 + 0.736506i
\(904\) −1.43337 1.14307i −0.0476732 0.0380181i
\(905\) 37.0599 2.71990i 1.23191 0.0904124i
\(906\) 16.8219 34.9310i 0.558870 1.16051i
\(907\) −16.6752 47.6551i −0.553693 1.58236i −0.791577 0.611069i \(-0.790740\pi\)
0.237885 0.971293i \(-0.423546\pi\)
\(908\) −36.2810 + 4.08789i −1.20403 + 0.135661i
\(909\) −10.3604 + 12.9915i −0.343631 + 0.430900i
\(910\) 6.38644 1.97974i 0.211709 0.0656278i
\(911\) −9.71480 12.1820i −0.321866 0.403607i 0.594405 0.804166i \(-0.297387\pi\)
−0.916271 + 0.400559i \(0.868816\pi\)
\(912\) 24.6106 + 24.6106i 0.814940 + 0.814940i
\(913\) −11.4040 11.4040i −0.377418 0.377418i
\(914\) 24.3801 19.4425i 0.806421 0.643099i
\(915\) 39.8848 7.48305i 1.31855 0.247382i
\(916\) 7.67575 15.9388i 0.253614 0.526634i
\(917\) 14.5176 + 18.0952i 0.479413 + 0.597555i
\(918\) 16.7420 47.8460i 0.552570 1.57915i
\(919\) −22.3929 + 17.8578i −0.738674 + 0.589073i −0.918871 0.394558i \(-0.870898\pi\)
0.180197 + 0.983631i \(0.442326\pi\)
\(920\) 23.3392 + 9.20144i 0.769470 + 0.303363i
\(921\) 7.48444 + 32.7915i 0.246621 + 1.08052i
\(922\) 34.8456 12.1930i 1.14758 0.401555i
\(923\) 6.60445 4.14985i 0.217388 0.136594i
\(924\) −53.4256 53.1126i −1.75757 1.74728i
\(925\) 17.8298 + 13.2440i 0.586240 + 0.435459i
\(926\) 1.21388 5.31834i 0.0398905 0.174772i
\(927\) 0.0656362 + 0.582537i 0.00215577 + 0.0191330i
\(928\) −7.91175 12.5915i −0.259716 0.413336i
\(929\) 0.346256 0.166748i 0.0113603 0.00547083i −0.428195 0.903686i \(-0.640850\pi\)
0.439555 + 0.898216i \(0.355136\pi\)
\(930\) −32.3664 + 29.9391i −1.06134 + 0.981741i
\(931\) 27.3319 34.6893i 0.895766 1.13689i
\(932\) 18.3689 + 18.3689i 0.601694 + 0.601694i
\(933\) −5.00089 + 14.2917i −0.163722 + 0.467890i
\(934\) −0.0598148 + 0.262066i −0.00195720 + 0.00857506i
\(935\) 32.3316 + 27.9104i 1.05736 + 0.912766i
\(936\) 1.68724 + 0.385101i 0.0551491 + 0.0125874i
\(937\) −28.7079 18.0384i −0.937847 0.589288i −0.0259301 0.999664i \(-0.508255\pi\)
−0.911917 + 0.410376i \(0.865398\pi\)
\(938\) 0.275560 0.347631i 0.00899735 0.0113506i
\(939\) 33.9914 + 7.75831i 1.10927 + 0.253183i
\(940\) −23.0046 12.2036i −0.750329 0.398039i
\(941\) 12.3957 2.82925i 0.404089 0.0922308i −0.0156453 0.999878i \(-0.504980\pi\)
0.419735 + 0.907647i \(0.362123\pi\)
\(942\) 44.9541 + 15.7301i 1.46469 + 0.512515i
\(943\) −1.32280 + 11.7402i −0.0430763 + 0.382313i
\(944\) 2.53334 1.21999i 0.0824531 0.0397073i
\(945\) −22.0578 11.6185i −0.717541 0.377949i
\(946\) 39.2685 + 18.9107i 1.27673 + 0.614841i
\(947\) −3.38943 + 5.39425i −0.110142 + 0.175290i −0.897247 0.441529i \(-0.854436\pi\)
0.787105 + 0.616819i \(0.211579\pi\)
\(948\) −6.44335 + 57.1863i −0.209270 + 1.85732i
\(949\) 6.44584i 0.209241i
\(950\) −57.7094 + 49.3546i −1.87234 + 1.60127i
\(951\) 49.1275 39.1779i 1.59307 1.27043i
\(952\) −35.4809 + 44.7608i −1.14994 + 1.45071i
\(953\) 0.615705 + 5.46453i 0.0199446 + 0.177013i 0.999735 0.0230127i \(-0.00732583\pi\)
−0.979791 + 0.200026i \(0.935897\pi\)
\(954\) 13.8502 + 11.0452i 0.448417 + 0.357601i
\(955\) 20.5633 6.30829i 0.665413 0.204132i
\(956\) 69.5065 + 33.4726i 2.24800 + 1.08258i
\(957\) −6.66207 59.1275i −0.215354 1.91132i
\(958\) −18.9423 + 2.13428i −0.611998 + 0.0689556i
\(959\) 38.5806 + 4.23225i 1.24583 + 0.136666i
\(960\) 35.8338 26.3614i 1.15653 0.850812i
\(961\) 13.5877 0.438313
\(962\) 3.54995 3.54995i 0.114455 0.114455i
\(963\) 5.26924 + 0.593700i 0.169799 + 0.0191317i
\(964\) 2.22737 + 9.75872i 0.0717386 + 0.314307i
\(965\) −1.51562 + 2.85703i −0.0487894 + 0.0919710i
\(966\) 22.8900 23.0249i 0.736474 0.740814i
\(967\) −14.7307 5.15450i −0.473708 0.165757i 0.0828576 0.996561i \(-0.473595\pi\)
−0.556565 + 0.830804i \(0.687881\pi\)
\(968\) −15.5062 1.74712i −0.498387 0.0561547i
\(969\) −55.7565 + 26.8509i −1.79116 + 0.862575i
\(970\) −55.9764 38.2904i −1.79729 1.22943i
\(971\) 5.50570 11.4327i 0.176686 0.366893i −0.793752 0.608241i \(-0.791875\pi\)
0.970439 + 0.241348i \(0.0775897\pi\)
\(972\) −17.4030 27.6968i −0.558202 0.888374i
\(973\) 21.7620 5.03435i 0.697659 0.161394i
\(974\) 8.89926 2.03120i 0.285151 0.0650838i
\(975\) −1.37179 + 4.39911i −0.0439325 + 0.140884i
\(976\) 20.3143 + 16.2001i 0.650244 + 0.518552i
\(977\) −3.74359 + 2.35225i −0.119768 + 0.0752552i −0.590584 0.806976i \(-0.701102\pi\)
0.470816 + 0.882232i \(0.343960\pi\)
\(978\) −2.51806 0.881109i −0.0805188 0.0281748i
\(979\) −31.8988 −1.01949
\(980\) 40.5883 + 43.3652i 1.29655 + 1.38525i
\(981\) −1.68783 −0.0538882
\(982\) −66.3602 23.2204i −2.11764 0.740994i
\(983\) 42.0933 26.4490i 1.34257 0.843591i 0.347020 0.937858i \(-0.387194\pi\)
0.995547 + 0.0942670i \(0.0300507\pi\)
\(984\) −30.1636 24.0547i −0.961582 0.766836i
\(985\) 9.78141 36.2812i 0.311662 1.15602i
\(986\) −92.9961 + 21.2258i −2.96160 + 0.675966i
\(987\) −12.4323 + 9.97431i −0.395724 + 0.317486i
\(988\) 5.98013 + 9.51732i 0.190253 + 0.302786i
\(989\) −5.33708 + 11.0826i −0.169709 + 0.352405i
\(990\) 17.2545 3.23723i 0.548385 0.102886i
\(991\) −46.5011 + 22.3937i −1.47716 + 0.711361i −0.987066 0.160312i \(-0.948750\pi\)
−0.490089 + 0.871672i \(0.663036\pi\)
\(992\) 7.77606 + 0.876151i 0.246890 + 0.0278178i
\(993\) 46.9874 + 16.4416i 1.49110 + 0.521759i
\(994\) 89.7568 + 56.0308i 2.84691 + 1.77719i
\(995\) 23.8374 7.31271i 0.755698 0.231829i
\(996\) 6.99327 + 30.6395i 0.221590 + 0.970850i
\(997\) 15.9031 + 1.79185i 0.503658 + 0.0567486i 0.360138 0.932899i \(-0.382730\pi\)
0.143519 + 0.989648i \(0.454158\pi\)
\(998\) −39.2721 + 39.2721i −1.24314 + 1.24314i
\(999\) −18.7192 −0.592249
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 245.2.s.a.27.4 312
5.3 odd 4 inner 245.2.s.a.223.4 yes 312
49.20 odd 14 inner 245.2.s.a.167.4 yes 312
245.118 even 28 inner 245.2.s.a.118.4 yes 312
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
245.2.s.a.27.4 312 1.1 even 1 trivial
245.2.s.a.118.4 yes 312 245.118 even 28 inner
245.2.s.a.167.4 yes 312 49.20 odd 14 inner
245.2.s.a.223.4 yes 312 5.3 odd 4 inner