Properties

Label 966.2.l.d.47.1
Level $966$
Weight $2$
Character 966.47
Analytic conductor $7.714$
Analytic rank $0$
Dimension $56$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(47,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 5, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.47");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.l (of order \(6\), degree \(2\), 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: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 47.1
Character \(\chi\) \(=\) 966.47
Dual form 966.2.l.d.185.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.72705 + 0.131543i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.22807 - 2.12708i) q^{5} +(1.56144 + 0.749605i) q^{6} +(-0.955407 - 2.46722i) q^{7} -1.00000i q^{8} +(2.96539 - 0.454363i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.72705 + 0.131543i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.22807 - 2.12708i) q^{5} +(1.56144 + 0.749605i) q^{6} +(-0.955407 - 2.46722i) q^{7} -1.00000i q^{8} +(2.96539 - 0.454363i) q^{9} +(-2.12708 + 1.22807i) q^{10} +(3.22465 - 1.86175i) q^{11} +(-0.977444 - 1.42990i) q^{12} -6.32796i q^{13} +(-0.406206 + 2.61438i) q^{14} +(-1.84114 + 3.83512i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(3.33399 + 5.77463i) q^{17} +(-2.79529 - 1.08921i) q^{18} +(1.90728 + 1.10117i) q^{19} +2.45614 q^{20} +(1.97458 + 4.13534i) q^{21} -3.72351 q^{22} +(-0.866025 - 0.500000i) q^{23} +(0.131543 + 1.72705i) q^{24} +(-0.516322 - 0.894296i) q^{25} +(-3.16398 + 5.48017i) q^{26} +(-5.06161 + 1.17478i) q^{27} +(1.65898 - 2.06102i) q^{28} -5.16739i q^{29} +(3.51203 - 2.40074i) q^{30} +(-4.98193 + 2.87632i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-5.32423 + 3.63952i) q^{33} -6.66797i q^{34} +(-6.42130 - 0.997701i) q^{35} +(1.87619 + 2.34092i) q^{36} +(2.95839 - 5.12408i) q^{37} +(-1.10117 - 1.90728i) q^{38} +(0.832399 + 10.9287i) q^{39} +(-2.12708 - 1.22807i) q^{40} +6.65921 q^{41} +(0.357633 - 4.56860i) q^{42} +5.27855 q^{43} +(3.22465 + 1.86175i) q^{44} +(2.67525 - 6.86563i) q^{45} +(0.500000 + 0.866025i) q^{46} +(-0.476032 + 0.824512i) q^{47} +(0.749605 - 1.56144i) q^{48} +(-5.17440 + 4.71441i) q^{49} +1.03264i q^{50} +(-6.51757 - 9.53451i) q^{51} +(5.48017 - 3.16398i) q^{52} +(7.33252 - 4.23343i) q^{53} +(4.97087 + 1.51341i) q^{54} -9.14547i q^{55} +(-2.46722 + 0.955407i) q^{56} +(-3.43882 - 1.65088i) q^{57} +(-2.58370 + 4.47509i) q^{58} +(4.16466 + 7.21340i) q^{59} +(-4.24188 + 0.323089i) q^{60} +(-11.0545 - 6.38231i) q^{61} +5.75264 q^{62} +(-3.95417 - 6.88219i) q^{63} -1.00000 q^{64} +(-13.4601 - 7.77119i) q^{65} +(6.43068 - 0.489802i) q^{66} +(-7.38097 - 12.7842i) q^{67} +(-3.33399 + 5.77463i) q^{68} +(1.56144 + 0.749605i) q^{69} +(5.06216 + 4.07468i) q^{70} +0.745937i q^{71} +(-0.454363 - 2.96539i) q^{72} +(-8.54298 + 4.93229i) q^{73} +(-5.12408 + 2.95839i) q^{74} +(1.00935 + 1.47657i) q^{75} +2.20234i q^{76} +(-7.67422 - 6.17721i) q^{77} +(4.74347 - 9.88072i) q^{78} +(0.560876 - 0.971465i) q^{79} +(1.22807 + 2.12708i) q^{80} +(8.58711 - 2.69473i) q^{81} +(-5.76705 - 3.32961i) q^{82} -13.9447 q^{83} +(-2.59402 + 3.77771i) q^{84} +16.3775 q^{85} +(-4.57136 - 2.63928i) q^{86} +(0.679735 + 8.92434i) q^{87} +(-1.86175 - 3.22465i) q^{88} +(-1.15386 + 1.99854i) q^{89} +(-5.74965 + 4.60818i) q^{90} +(-15.6125 + 6.04577i) q^{91} -1.00000i q^{92} +(8.22568 - 5.62288i) q^{93} +(0.824512 - 0.476032i) q^{94} +(4.68456 - 2.70463i) q^{95} +(-1.42990 + 0.977444i) q^{96} -15.2172i q^{97} +(6.83836 - 1.49560i) q^{98} +(8.71645 - 6.98599i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q + 28 q^{4} + 8 q^{7} + 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q + 28 q^{4} + 8 q^{7} + 10 q^{9} + 12 q^{10} + 8 q^{15} - 28 q^{16} - 8 q^{18} - 24 q^{19} - 4 q^{21} - 12 q^{22} + 6 q^{24} - 8 q^{25} + 10 q^{28} + 6 q^{30} - 6 q^{31} + 30 q^{33} + 20 q^{36} + 4 q^{37} - 10 q^{39} + 12 q^{40} + 8 q^{42} - 104 q^{43} - 6 q^{45} + 28 q^{46} + 40 q^{49} - 22 q^{51} - 6 q^{52} + 18 q^{54} + 68 q^{57} - 30 q^{58} + 4 q^{60} - 84 q^{61} - 6 q^{63} - 56 q^{64} - 30 q^{66} + 2 q^{67} + 30 q^{70} + 8 q^{72} + 54 q^{73} - 24 q^{75} + 68 q^{78} - 6 q^{79} + 22 q^{81} + 4 q^{84} - 108 q^{85} - 126 q^{87} - 6 q^{88} - 42 q^{91} + 36 q^{93} - 18 q^{94} + 6 q^{96} + 48 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) −1.72705 + 0.131543i −0.997112 + 0.0759464i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 1.22807 2.12708i 0.549211 0.951261i −0.449118 0.893472i \(-0.648262\pi\)
0.998329 0.0577883i \(-0.0184048\pi\)
\(6\) 1.56144 + 0.749605i 0.637455 + 0.306025i
\(7\) −0.955407 2.46722i −0.361110 0.932523i
\(8\) 1.00000i 0.353553i
\(9\) 2.96539 0.454363i 0.988464 0.151454i
\(10\) −2.12708 + 1.22807i −0.672643 + 0.388351i
\(11\) 3.22465 1.86175i 0.972269 0.561340i 0.0723419 0.997380i \(-0.476953\pi\)
0.899927 + 0.436040i \(0.143619\pi\)
\(12\) −0.977444 1.42990i −0.282164 0.412776i
\(13\) 6.32796i 1.75506i −0.479522 0.877530i \(-0.659190\pi\)
0.479522 0.877530i \(-0.340810\pi\)
\(14\) −0.406206 + 2.61438i −0.108563 + 0.698723i
\(15\) −1.84114 + 3.83512i −0.475380 + 0.990224i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 3.33399 + 5.77463i 0.808611 + 1.40055i 0.913826 + 0.406105i \(0.133113\pi\)
−0.105216 + 0.994449i \(0.533553\pi\)
\(18\) −2.79529 1.08921i −0.658855 0.256729i
\(19\) 1.90728 + 1.10117i 0.437560 + 0.252626i 0.702562 0.711622i \(-0.252039\pi\)
−0.265002 + 0.964248i \(0.585373\pi\)
\(20\) 2.45614 0.549211
\(21\) 1.97458 + 4.13534i 0.430889 + 0.902405i
\(22\) −3.72351 −0.793854
\(23\) −0.866025 0.500000i −0.180579 0.104257i
\(24\) 0.131543 + 1.72705i 0.0268511 + 0.352532i
\(25\) −0.516322 0.894296i −0.103264 0.178859i
\(26\) −3.16398 + 5.48017i −0.620507 + 1.07475i
\(27\) −5.06161 + 1.17478i −0.974107 + 0.226087i
\(28\) 1.65898 2.06102i 0.313517 0.389496i
\(29\) 5.16739i 0.959561i −0.877389 0.479780i \(-0.840716\pi\)
0.877389 0.479780i \(-0.159284\pi\)
\(30\) 3.51203 2.40074i 0.641206 0.438314i
\(31\) −4.98193 + 2.87632i −0.894781 + 0.516602i −0.875503 0.483212i \(-0.839470\pi\)
−0.0192779 + 0.999814i \(0.506137\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −5.32423 + 3.63952i −0.926829 + 0.633559i
\(34\) 6.66797i 1.14355i
\(35\) −6.42130 0.997701i −1.08540 0.168642i
\(36\) 1.87619 + 2.34092i 0.312698 + 0.390154i
\(37\) 2.95839 5.12408i 0.486356 0.842393i −0.513521 0.858077i \(-0.671659\pi\)
0.999877 + 0.0156839i \(0.00499253\pi\)
\(38\) −1.10117 1.90728i −0.178633 0.309402i
\(39\) 0.832399 + 10.9287i 0.133291 + 1.74999i
\(40\) −2.12708 1.22807i −0.336321 0.194175i
\(41\) 6.65921 1.03999 0.519997 0.854168i \(-0.325933\pi\)
0.519997 + 0.854168i \(0.325933\pi\)
\(42\) 0.357633 4.56860i 0.0551840 0.704950i
\(43\) 5.27855 0.804972 0.402486 0.915426i \(-0.368146\pi\)
0.402486 + 0.915426i \(0.368146\pi\)
\(44\) 3.22465 + 1.86175i 0.486135 + 0.280670i
\(45\) 2.67525 6.86563i 0.398803 1.02347i
\(46\) 0.500000 + 0.866025i 0.0737210 + 0.127688i
\(47\) −0.476032 + 0.824512i −0.0694364 + 0.120267i −0.898653 0.438659i \(-0.855453\pi\)
0.829217 + 0.558927i \(0.188787\pi\)
\(48\) 0.749605 1.56144i 0.108196 0.225374i
\(49\) −5.17440 + 4.71441i −0.739199 + 0.673487i
\(50\) 1.03264i 0.146038i
\(51\) −6.51757 9.53451i −0.912642 1.33510i
\(52\) 5.48017 3.16398i 0.759963 0.438765i
\(53\) 7.33252 4.23343i 1.00720 0.581507i 0.0968287 0.995301i \(-0.469130\pi\)
0.910370 + 0.413794i \(0.135797\pi\)
\(54\) 4.97087 + 1.51341i 0.676450 + 0.205949i
\(55\) 9.14547i 1.23318i
\(56\) −2.46722 + 0.955407i −0.329697 + 0.127672i
\(57\) −3.43882 1.65088i −0.455483 0.218665i
\(58\) −2.58370 + 4.47509i −0.339256 + 0.587609i
\(59\) 4.16466 + 7.21340i 0.542193 + 0.939105i 0.998778 + 0.0494256i \(0.0157391\pi\)
−0.456585 + 0.889680i \(0.650928\pi\)
\(60\) −4.24188 + 0.323089i −0.547624 + 0.0417106i
\(61\) −11.0545 6.38231i −1.41538 0.817171i −0.419493 0.907759i \(-0.637792\pi\)
−0.995888 + 0.0905881i \(0.971125\pi\)
\(62\) 5.75264 0.730586
\(63\) −3.95417 6.88219i −0.498179 0.867074i
\(64\) −1.00000 −0.125000
\(65\) −13.4601 7.77119i −1.66952 0.963897i
\(66\) 6.43068 0.489802i 0.791562 0.0602904i
\(67\) −7.38097 12.7842i −0.901728 1.56184i −0.825250 0.564768i \(-0.808966\pi\)
−0.0764789 0.997071i \(-0.524368\pi\)
\(68\) −3.33399 + 5.77463i −0.404305 + 0.700277i
\(69\) 1.56144 + 0.749605i 0.187975 + 0.0902418i
\(70\) 5.06216 + 4.07468i 0.605044 + 0.487018i
\(71\) 0.745937i 0.0885265i 0.999020 + 0.0442632i \(0.0140940\pi\)
−0.999020 + 0.0442632i \(0.985906\pi\)
\(72\) −0.454363 2.96539i −0.0535471 0.349475i
\(73\) −8.54298 + 4.93229i −0.999880 + 0.577281i −0.908213 0.418509i \(-0.862553\pi\)
−0.0916673 + 0.995790i \(0.529220\pi\)
\(74\) −5.12408 + 2.95839i −0.595662 + 0.343906i
\(75\) 1.00935 + 1.47657i 0.116550 + 0.170500i
\(76\) 2.20234i 0.252626i
\(77\) −7.67422 6.17721i −0.874558 0.703958i
\(78\) 4.74347 9.88072i 0.537092 1.11877i
\(79\) 0.560876 0.971465i 0.0631034 0.109298i −0.832748 0.553653i \(-0.813234\pi\)
0.895851 + 0.444354i \(0.146567\pi\)
\(80\) 1.22807 + 2.12708i 0.137303 + 0.237815i
\(81\) 8.58711 2.69473i 0.954123 0.299414i
\(82\) −5.76705 3.32961i −0.636864 0.367694i
\(83\) −13.9447 −1.53063 −0.765317 0.643653i \(-0.777418\pi\)
−0.765317 + 0.643653i \(0.777418\pi\)
\(84\) −2.59402 + 3.77771i −0.283031 + 0.412182i
\(85\) 16.3775 1.77639
\(86\) −4.57136 2.63928i −0.492943 0.284601i
\(87\) 0.679735 + 8.92434i 0.0728752 + 0.956790i
\(88\) −1.86175 3.22465i −0.198464 0.343749i
\(89\) −1.15386 + 1.99854i −0.122309 + 0.211845i −0.920678 0.390323i \(-0.872363\pi\)
0.798369 + 0.602169i \(0.205697\pi\)
\(90\) −5.74965 + 4.60818i −0.606066 + 0.485745i
\(91\) −15.6125 + 6.04577i −1.63663 + 0.633769i
\(92\) 1.00000i 0.104257i
\(93\) 8.22568 5.62288i 0.852963 0.583066i
\(94\) 0.824512 0.476032i 0.0850419 0.0490990i
\(95\) 4.68456 2.70463i 0.480626 0.277489i
\(96\) −1.42990 + 0.977444i −0.145938 + 0.0997600i
\(97\) 15.2172i 1.54507i −0.634974 0.772534i \(-0.718989\pi\)
0.634974 0.772534i \(-0.281011\pi\)
\(98\) 6.83836 1.49560i 0.690779 0.151078i
\(99\) 8.71645 6.98599i 0.876036 0.702119i
\(100\) 0.516322 0.894296i 0.0516322 0.0894296i
\(101\) 0.415726 + 0.720059i 0.0413663 + 0.0716485i 0.885967 0.463748i \(-0.153496\pi\)
−0.844601 + 0.535396i \(0.820162\pi\)
\(102\) 0.877126 + 11.5159i 0.0868484 + 1.14025i
\(103\) −5.60780 3.23766i −0.552553 0.319016i 0.197598 0.980283i \(-0.436686\pi\)
−0.750151 + 0.661267i \(0.770019\pi\)
\(104\) −6.32796 −0.620507
\(105\) 11.2211 + 0.878399i 1.09507 + 0.0857230i
\(106\) −8.46686 −0.822375
\(107\) −4.43340 2.55963i −0.428593 0.247448i 0.270154 0.962817i \(-0.412925\pi\)
−0.698747 + 0.715369i \(0.746259\pi\)
\(108\) −3.54820 3.79609i −0.341425 0.365279i
\(109\) 5.73238 + 9.92878i 0.549063 + 0.951004i 0.998339 + 0.0576116i \(0.0183485\pi\)
−0.449276 + 0.893393i \(0.648318\pi\)
\(110\) −4.57274 + 7.92021i −0.435993 + 0.755162i
\(111\) −4.43524 + 9.23868i −0.420974 + 0.876897i
\(112\) 2.61438 + 0.406206i 0.247036 + 0.0383829i
\(113\) 3.22150i 0.303054i 0.988453 + 0.151527i \(0.0484190\pi\)
−0.988453 + 0.151527i \(0.951581\pi\)
\(114\) 2.15266 + 3.14912i 0.201615 + 0.294942i
\(115\) −2.12708 + 1.22807i −0.198352 + 0.114518i
\(116\) 4.47509 2.58370i 0.415502 0.239890i
\(117\) −2.87519 18.7649i −0.265811 1.73481i
\(118\) 8.32932i 0.766776i
\(119\) 11.0620 13.7428i 1.01405 1.25980i
\(120\) 3.83512 + 1.84114i 0.350097 + 0.168072i
\(121\) 1.43225 2.48074i 0.130205 0.225521i
\(122\) 6.38231 + 11.0545i 0.577827 + 1.00083i
\(123\) −11.5008 + 0.875973i −1.03699 + 0.0789839i
\(124\) −4.98193 2.87632i −0.447391 0.258301i
\(125\) 9.74440 0.871565
\(126\) −0.0166827 + 7.93724i −0.00148621 + 0.707105i
\(127\) −7.78993 −0.691244 −0.345622 0.938374i \(-0.612332\pi\)
−0.345622 + 0.938374i \(0.612332\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −9.11632 + 0.694357i −0.802647 + 0.0611348i
\(130\) 7.77119 + 13.4601i 0.681578 + 1.18053i
\(131\) −2.54502 + 4.40810i −0.222359 + 0.385137i −0.955524 0.294914i \(-0.904709\pi\)
0.733165 + 0.680051i \(0.238042\pi\)
\(132\) −5.81403 2.79116i −0.506046 0.242939i
\(133\) 0.894604 5.75776i 0.0775720 0.499261i
\(134\) 14.7619i 1.27524i
\(135\) −3.71716 + 12.2092i −0.319922 + 1.05080i
\(136\) 5.77463 3.33399i 0.495171 0.285887i
\(137\) 12.9825 7.49542i 1.10917 0.640377i 0.170553 0.985349i \(-0.445445\pi\)
0.938613 + 0.344971i \(0.112111\pi\)
\(138\) −0.977444 1.42990i −0.0832056 0.121721i
\(139\) 8.76557i 0.743486i 0.928336 + 0.371743i \(0.121240\pi\)
−0.928336 + 0.371743i \(0.878760\pi\)
\(140\) −2.34662 6.05986i −0.198325 0.512152i
\(141\) 0.713672 1.48659i 0.0601020 0.125193i
\(142\) 0.372969 0.646001i 0.0312988 0.0542112i
\(143\) −11.7811 20.4055i −0.985185 1.70639i
\(144\) −1.08921 + 2.79529i −0.0907672 + 0.232941i
\(145\) −10.9915 6.34593i −0.912792 0.527001i
\(146\) 9.86458 0.816399
\(147\) 8.31629 8.82266i 0.685916 0.727681i
\(148\) 5.91677 0.486356
\(149\) 7.66328 + 4.42440i 0.627801 + 0.362461i 0.779900 0.625904i \(-0.215270\pi\)
−0.152099 + 0.988365i \(0.548603\pi\)
\(150\) −0.135837 1.78343i −0.0110911 0.145616i
\(151\) 3.35914 + 5.81821i 0.273363 + 0.473479i 0.969721 0.244216i \(-0.0785306\pi\)
−0.696358 + 0.717695i \(0.745197\pi\)
\(152\) 1.10117 1.90728i 0.0893167 0.154701i
\(153\) 12.5104 + 15.6092i 1.01140 + 1.26193i
\(154\) 3.55746 + 9.18673i 0.286669 + 0.740288i
\(155\) 14.1293i 1.13489i
\(156\) −9.04832 + 6.18522i −0.724446 + 0.495214i
\(157\) 3.39765 1.96163i 0.271162 0.156555i −0.358254 0.933624i \(-0.616628\pi\)
0.629416 + 0.777069i \(0.283294\pi\)
\(158\) −0.971465 + 0.560876i −0.0772856 + 0.0446209i
\(159\) −12.1067 + 8.27589i −0.960127 + 0.656320i
\(160\) 2.45614i 0.194175i
\(161\) −0.406206 + 2.61438i −0.0320135 + 0.206042i
\(162\) −8.78402 1.95985i −0.690138 0.153981i
\(163\) −5.11496 + 8.85937i −0.400634 + 0.693919i −0.993803 0.111159i \(-0.964544\pi\)
0.593168 + 0.805079i \(0.297877\pi\)
\(164\) 3.32961 + 5.76705i 0.259999 + 0.450331i
\(165\) 1.20302 + 15.7947i 0.0936553 + 1.22961i
\(166\) 12.0765 + 6.97237i 0.937318 + 0.541161i
\(167\) 9.37075 0.725131 0.362565 0.931958i \(-0.381901\pi\)
0.362565 + 0.931958i \(0.381901\pi\)
\(168\) 4.13534 1.97458i 0.319048 0.152342i
\(169\) −27.0430 −2.08023
\(170\) −14.1833 8.18875i −1.08781 0.628049i
\(171\) 6.15617 + 2.39880i 0.470774 + 0.183441i
\(172\) 2.63928 + 4.57136i 0.201243 + 0.348563i
\(173\) 4.38197 7.58979i 0.333155 0.577041i −0.649974 0.759957i \(-0.725220\pi\)
0.983129 + 0.182915i \(0.0585534\pi\)
\(174\) 3.87350 8.06857i 0.293649 0.611677i
\(175\) −1.71313 + 2.12830i −0.129501 + 0.160884i
\(176\) 3.72351i 0.280670i
\(177\) −8.14145 11.9101i −0.611948 0.895215i
\(178\) 1.99854 1.15386i 0.149797 0.0864854i
\(179\) −13.7465 + 7.93657i −1.02746 + 0.593207i −0.916257 0.400590i \(-0.868805\pi\)
−0.111207 + 0.993797i \(0.535472\pi\)
\(180\) 7.28343 1.11598i 0.542875 0.0831802i
\(181\) 6.55965i 0.487575i 0.969829 + 0.243787i \(0.0783899\pi\)
−0.969829 + 0.243787i \(0.921610\pi\)
\(182\) 16.5437 + 2.57045i 1.22630 + 0.190535i
\(183\) 19.9312 + 9.56841i 1.47335 + 0.707317i
\(184\) −0.500000 + 0.866025i −0.0368605 + 0.0638442i
\(185\) −7.26623 12.5855i −0.534224 0.925302i
\(186\) −9.93509 + 0.756720i −0.728476 + 0.0554854i
\(187\) 21.5019 + 12.4141i 1.57237 + 0.907811i
\(188\) −0.952064 −0.0694364
\(189\) 7.73435 + 11.3657i 0.562591 + 0.826735i
\(190\) −5.40926 −0.392429
\(191\) 3.47679 + 2.00733i 0.251572 + 0.145245i 0.620484 0.784219i \(-0.286936\pi\)
−0.368912 + 0.929464i \(0.620270\pi\)
\(192\) 1.72705 0.131543i 0.124639 0.00949331i
\(193\) 5.44791 + 9.43605i 0.392149 + 0.679222i 0.992733 0.120340i \(-0.0383985\pi\)
−0.600584 + 0.799562i \(0.705065\pi\)
\(194\) −7.60858 + 13.1784i −0.546264 + 0.946157i
\(195\) 24.2685 + 11.6506i 1.73790 + 0.834319i
\(196\) −6.66999 2.12396i −0.476428 0.151711i
\(197\) 22.2345i 1.58414i 0.610428 + 0.792072i \(0.290998\pi\)
−0.610428 + 0.792072i \(0.709002\pi\)
\(198\) −11.0417 + 1.69182i −0.784697 + 0.120233i
\(199\) −1.28109 + 0.739640i −0.0908143 + 0.0524317i −0.544719 0.838618i \(-0.683364\pi\)
0.453905 + 0.891050i \(0.350031\pi\)
\(200\) −0.894296 + 0.516322i −0.0632363 + 0.0365095i
\(201\) 14.4290 + 21.1080i 1.01774 + 1.48885i
\(202\) 0.831452i 0.0585008i
\(203\) −12.7491 + 4.93696i −0.894813 + 0.346507i
\(204\) 4.99834 10.4116i 0.349954 0.728960i
\(205\) 8.17799 14.1647i 0.571176 0.989306i
\(206\) 3.23766 + 5.60780i 0.225579 + 0.390714i
\(207\) −2.79529 1.08921i −0.194286 0.0757051i
\(208\) 5.48017 + 3.16398i 0.379982 + 0.219382i
\(209\) 8.20043 0.567235
\(210\) −9.27859 6.37129i −0.640284 0.439660i
\(211\) 28.1433 1.93746 0.968732 0.248111i \(-0.0798097\pi\)
0.968732 + 0.248111i \(0.0798097\pi\)
\(212\) 7.33252 + 4.23343i 0.503600 + 0.290753i
\(213\) −0.0981229 1.28827i −0.00672327 0.0882708i
\(214\) 2.55963 + 4.43340i 0.174972 + 0.303061i
\(215\) 6.48245 11.2279i 0.442099 0.765738i
\(216\) 1.17478 + 5.06161i 0.0799339 + 0.344399i
\(217\) 11.8563 + 9.54349i 0.804858 + 0.647854i
\(218\) 11.4648i 0.776492i
\(219\) 14.1053 9.64208i 0.953150 0.651551i
\(220\) 7.92021 4.57274i 0.533980 0.308294i
\(221\) 36.5416 21.0973i 2.45806 1.41916i
\(222\) 8.46037 5.78332i 0.567823 0.388151i
\(223\) 23.8880i 1.59966i 0.600227 + 0.799830i \(0.295077\pi\)
−0.600227 + 0.799830i \(0.704923\pi\)
\(224\) −2.06102 1.65898i −0.137708 0.110845i
\(225\) −1.93743 2.41734i −0.129162 0.161156i
\(226\) 1.61075 2.78990i 0.107146 0.185582i
\(227\) −8.77102 15.1918i −0.582153 1.00832i −0.995224 0.0976194i \(-0.968877\pi\)
0.413071 0.910699i \(-0.364456\pi\)
\(228\) −0.289703 3.80355i −0.0191860 0.251896i
\(229\) −23.5057 13.5710i −1.55330 0.896799i −0.997870 0.0652377i \(-0.979219\pi\)
−0.555432 0.831562i \(-0.687447\pi\)
\(230\) 2.45614 0.161953
\(231\) 14.0663 + 9.65885i 0.925496 + 0.635506i
\(232\) −5.16739 −0.339256
\(233\) −18.5749 10.7242i −1.21688 0.702568i −0.252634 0.967562i \(-0.581297\pi\)
−0.964250 + 0.264994i \(0.914630\pi\)
\(234\) −6.89245 + 17.6885i −0.450574 + 1.15633i
\(235\) 1.16920 + 2.02512i 0.0762704 + 0.132104i
\(236\) −4.16466 + 7.21340i −0.271096 + 0.469553i
\(237\) −0.840870 + 1.75155i −0.0546204 + 0.113775i
\(238\) −16.4514 + 6.37063i −1.06639 + 0.412946i
\(239\) 15.4123i 0.996941i −0.866907 0.498471i \(-0.833895\pi\)
0.866907 0.498471i \(-0.166105\pi\)
\(240\) −2.40074 3.51203i −0.154967 0.226701i
\(241\) 16.3943 9.46523i 1.05605 0.609709i 0.131711 0.991288i \(-0.457953\pi\)
0.924336 + 0.381579i \(0.124620\pi\)
\(242\) −2.48074 + 1.43225i −0.159468 + 0.0920687i
\(243\) −14.4759 + 5.78350i −0.928628 + 0.371012i
\(244\) 12.7646i 0.817171i
\(245\) 3.67340 + 16.7960i 0.234685 + 1.07306i
\(246\) 10.3980 + 4.99178i 0.662950 + 0.318264i
\(247\) 6.96815 12.0692i 0.443373 0.767945i
\(248\) 2.87632 + 4.98193i 0.182646 + 0.316353i
\(249\) 24.0832 1.83433i 1.52621 0.116246i
\(250\) −8.43890 4.87220i −0.533723 0.308145i
\(251\) 1.20028 0.0757610 0.0378805 0.999282i \(-0.487939\pi\)
0.0378805 + 0.999282i \(0.487939\pi\)
\(252\) 3.98307 6.86551i 0.250910 0.432486i
\(253\) −3.72351 −0.234095
\(254\) 6.74628 + 3.89496i 0.423299 + 0.244392i
\(255\) −28.2847 + 2.15435i −1.77126 + 0.134910i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 3.06593 5.31035i 0.191248 0.331251i −0.754416 0.656396i \(-0.772080\pi\)
0.945664 + 0.325146i \(0.105413\pi\)
\(258\) 8.24214 + 3.95683i 0.513133 + 0.246341i
\(259\) −15.4687 2.40343i −0.961179 0.149342i
\(260\) 15.5424i 0.963897i
\(261\) −2.34787 15.3234i −0.145330 0.948492i
\(262\) 4.40810 2.54502i 0.272333 0.157232i
\(263\) 6.44235 3.71949i 0.397253 0.229354i −0.288045 0.957617i \(-0.593005\pi\)
0.685298 + 0.728263i \(0.259672\pi\)
\(264\) 3.63952 + 5.32423i 0.223997 + 0.327684i
\(265\) 20.7958i 1.27748i
\(266\) −3.65363 + 4.53906i −0.224018 + 0.278308i
\(267\) 1.72988 3.60336i 0.105867 0.220522i
\(268\) 7.38097 12.7842i 0.450864 0.780920i
\(269\) 3.35273 + 5.80709i 0.204419 + 0.354065i 0.949948 0.312409i \(-0.101136\pi\)
−0.745528 + 0.666474i \(0.767803\pi\)
\(270\) 9.32375 8.71488i 0.567425 0.530371i
\(271\) 6.84766 + 3.95350i 0.415966 + 0.240158i 0.693350 0.720601i \(-0.256134\pi\)
−0.277384 + 0.960759i \(0.589467\pi\)
\(272\) −6.66797 −0.404305
\(273\) 26.1683 12.4951i 1.58377 0.756235i
\(274\) −14.9908 −0.905630
\(275\) −3.32992 1.92253i −0.200802 0.115933i
\(276\) 0.131543 + 1.72705i 0.00791796 + 0.103956i
\(277\) 5.82324 + 10.0861i 0.349885 + 0.606018i 0.986229 0.165387i \(-0.0528875\pi\)
−0.636344 + 0.771405i \(0.719554\pi\)
\(278\) 4.38278 7.59121i 0.262862 0.455290i
\(279\) −13.4665 + 10.7930i −0.806218 + 0.646161i
\(280\) −0.997701 + 6.42130i −0.0596240 + 0.383746i
\(281\) 27.9371i 1.66659i 0.552830 + 0.833294i \(0.313548\pi\)
−0.552830 + 0.833294i \(0.686452\pi\)
\(282\) −1.36135 + 0.930589i −0.0810674 + 0.0554158i
\(283\) −20.2968 + 11.7184i −1.20652 + 0.696584i −0.961997 0.273060i \(-0.911964\pi\)
−0.244522 + 0.969644i \(0.578631\pi\)
\(284\) −0.646001 + 0.372969i −0.0383331 + 0.0221316i
\(285\) −7.73469 + 5.28725i −0.458163 + 0.313190i
\(286\) 23.5622i 1.39326i
\(287\) −6.36226 16.4298i −0.375552 0.969819i
\(288\) 2.34092 1.87619i 0.137940 0.110555i
\(289\) −13.7309 + 23.7827i −0.807702 + 1.39898i
\(290\) 6.34593 + 10.9915i 0.372646 + 0.645442i
\(291\) 2.00171 + 26.2808i 0.117342 + 1.54061i
\(292\) −8.54298 4.93229i −0.499940 0.288641i
\(293\) 4.40479 0.257330 0.128665 0.991688i \(-0.458931\pi\)
0.128665 + 0.991688i \(0.458931\pi\)
\(294\) −11.6134 + 3.48251i −0.677310 + 0.203104i
\(295\) 20.4580 1.19111
\(296\) −5.12408 2.95839i −0.297831 0.171953i
\(297\) −14.1348 + 13.2117i −0.820183 + 0.766623i
\(298\) −4.42440 7.66328i −0.256298 0.443922i
\(299\) −3.16398 + 5.48017i −0.182978 + 0.316927i
\(300\) −0.774075 + 1.61241i −0.0446912 + 0.0930926i
\(301\) −5.04317 13.0234i −0.290683 0.750655i
\(302\) 6.71828i 0.386594i
\(303\) −0.812698 1.18889i −0.0466883 0.0683000i
\(304\) −1.90728 + 1.10117i −0.109390 + 0.0631564i
\(305\) −27.1514 + 15.6759i −1.55468 + 0.897597i
\(306\) −3.02968 19.7732i −0.173195 1.13036i
\(307\) 10.9974i 0.627653i 0.949480 + 0.313826i \(0.101611\pi\)
−0.949480 + 0.313826i \(0.898389\pi\)
\(308\) 1.51251 9.73467i 0.0861833 0.554684i
\(309\) 10.1108 + 4.85393i 0.575185 + 0.276131i
\(310\) 7.06466 12.2363i 0.401245 0.694978i
\(311\) −14.5415 25.1866i −0.824572 1.42820i −0.902246 0.431222i \(-0.858083\pi\)
0.0776737 0.996979i \(-0.475251\pi\)
\(312\) 10.9287 0.832399i 0.618715 0.0471253i
\(313\) 5.12605 + 2.95953i 0.289741 + 0.167282i 0.637825 0.770181i \(-0.279834\pi\)
−0.348084 + 0.937463i \(0.613168\pi\)
\(314\) −3.92327 −0.221403
\(315\) −19.4950 0.0409751i −1.09842 0.00230868i
\(316\) 1.12175 0.0631034
\(317\) −5.78820 3.34182i −0.325098 0.187695i 0.328565 0.944481i \(-0.393435\pi\)
−0.653662 + 0.756786i \(0.726768\pi\)
\(318\) 14.6227 1.11376i 0.820000 0.0624564i
\(319\) −9.62041 16.6630i −0.538640 0.932951i
\(320\) −1.22807 + 2.12708i −0.0686513 + 0.118908i
\(321\) 7.99340 + 3.83741i 0.446148 + 0.214184i
\(322\) 1.65898 2.06102i 0.0924511 0.114856i
\(323\) 14.6851i 0.817103i
\(324\) 6.62726 + 6.08929i 0.368181 + 0.338294i
\(325\) −5.65907 + 3.26727i −0.313909 + 0.181235i
\(326\) 8.85937 5.11496i 0.490675 0.283291i
\(327\) −11.2062 16.3934i −0.619702 0.906559i
\(328\) 6.65921i 0.367694i
\(329\) 2.48906 + 0.386734i 0.137226 + 0.0213213i
\(330\) 6.85549 14.2801i 0.377382 0.786094i
\(331\) 13.3392 23.1042i 0.733189 1.26992i −0.222325 0.974973i \(-0.571365\pi\)
0.955513 0.294947i \(-0.0953022\pi\)
\(332\) −6.97237 12.0765i −0.382659 0.662784i
\(333\) 6.44459 16.5391i 0.353161 0.906336i
\(334\) −8.11531 4.68538i −0.444050 0.256372i
\(335\) −36.2574 −1.98096
\(336\) −4.56860 0.357633i −0.249238 0.0195105i
\(337\) −17.4792 −0.952155 −0.476077 0.879403i \(-0.657942\pi\)
−0.476077 + 0.879403i \(0.657942\pi\)
\(338\) 23.4200 + 13.5215i 1.27388 + 0.735474i
\(339\) −0.423767 5.56369i −0.0230158 0.302178i
\(340\) 8.18875 + 14.1833i 0.444097 + 0.769199i
\(341\) −10.7100 + 18.5503i −0.579979 + 1.00455i
\(342\) −4.13200 5.15551i −0.223433 0.278778i
\(343\) 16.5752 + 8.26223i 0.894974 + 0.446118i
\(344\) 5.27855i 0.284601i
\(345\) 3.51203 2.40074i 0.189081 0.129252i
\(346\) −7.58979 + 4.38197i −0.408030 + 0.235576i
\(347\) 30.4637 17.5882i 1.63538 0.944186i 0.652984 0.757372i \(-0.273517\pi\)
0.982395 0.186814i \(-0.0598163\pi\)
\(348\) −7.38884 + 5.05084i −0.396083 + 0.270753i
\(349\) 9.41797i 0.504132i −0.967710 0.252066i \(-0.918890\pi\)
0.967710 0.252066i \(-0.0811100\pi\)
\(350\) 2.54777 0.986595i 0.136184 0.0527357i
\(351\) 7.43398 + 32.0296i 0.396796 + 1.70962i
\(352\) 1.86175 3.22465i 0.0992318 0.171875i
\(353\) 1.25484 + 2.17345i 0.0667886 + 0.115681i 0.897486 0.441043i \(-0.145391\pi\)
−0.830697 + 0.556724i \(0.812058\pi\)
\(354\) 1.09566 + 14.3851i 0.0582339 + 0.764562i
\(355\) 1.58667 + 0.916065i 0.0842117 + 0.0486197i
\(356\) −2.30772 −0.122309
\(357\) −17.2969 + 25.1896i −0.915447 + 1.33318i
\(358\) 15.8731 0.838921
\(359\) 14.3293 + 8.27302i 0.756271 + 0.436633i 0.827955 0.560794i \(-0.189504\pi\)
−0.0716842 + 0.997427i \(0.522837\pi\)
\(360\) −6.86563 2.67525i −0.361850 0.140998i
\(361\) −7.07485 12.2540i −0.372361 0.644947i
\(362\) 3.27982 5.68082i 0.172384 0.298577i
\(363\) −2.14725 + 4.47275i −0.112701 + 0.234759i
\(364\) −13.0420 10.4979i −0.683589 0.550241i
\(365\) 24.2288i 1.26820i
\(366\) −12.4767 18.2521i −0.652167 0.954051i
\(367\) 18.0483 10.4202i 0.942114 0.543930i 0.0514919 0.998673i \(-0.483602\pi\)
0.890622 + 0.454743i \(0.150269\pi\)
\(368\) 0.866025 0.500000i 0.0451447 0.0260643i
\(369\) 19.7472 3.02570i 1.02800 0.157512i
\(370\) 14.5325i 0.755506i
\(371\) −17.4504 14.0463i −0.905978 0.729249i
\(372\) 8.98240 + 4.31220i 0.465716 + 0.223577i
\(373\) 14.1419 24.4944i 0.732238 1.26827i −0.223687 0.974661i \(-0.571809\pi\)
0.955925 0.293612i \(-0.0948575\pi\)
\(374\) −12.4141 21.5019i −0.641919 1.11184i
\(375\) −16.8290 + 1.28181i −0.869048 + 0.0661923i
\(376\) 0.824512 + 0.476032i 0.0425209 + 0.0245495i
\(377\) −32.6990 −1.68409
\(378\) −1.01528 13.7102i −0.0522202 0.705176i
\(379\) 10.8302 0.556308 0.278154 0.960537i \(-0.410278\pi\)
0.278154 + 0.960537i \(0.410278\pi\)
\(380\) 4.68456 + 2.70463i 0.240313 + 0.138745i
\(381\) 13.4536 1.02471i 0.689248 0.0524975i
\(382\) −2.00733 3.47679i −0.102704 0.177888i
\(383\) −11.1219 + 19.2637i −0.568302 + 0.984329i 0.428432 + 0.903574i \(0.359066\pi\)
−0.996734 + 0.0807544i \(0.974267\pi\)
\(384\) −1.56144 0.749605i −0.0796819 0.0382531i
\(385\) −22.5639 + 8.73764i −1.14996 + 0.445312i
\(386\) 10.8958i 0.554582i
\(387\) 15.6530 2.39838i 0.795686 0.121916i
\(388\) 13.1784 7.60858i 0.669034 0.386267i
\(389\) −7.21221 + 4.16397i −0.365674 + 0.211122i −0.671567 0.740944i \(-0.734378\pi\)
0.305893 + 0.952066i \(0.401045\pi\)
\(390\) −15.1918 22.2240i −0.769267 1.12536i
\(391\) 6.66797i 0.337214i
\(392\) 4.71441 + 5.17440i 0.238113 + 0.261346i
\(393\) 3.81551 7.94778i 0.192467 0.400913i
\(394\) 11.1173 19.2557i 0.560079 0.970086i
\(395\) −1.37759 2.38606i −0.0693142 0.120056i
\(396\) 10.4083 + 4.05567i 0.523035 + 0.203805i
\(397\) 11.0618 + 6.38655i 0.555177 + 0.320532i 0.751207 0.660066i \(-0.229472\pi\)
−0.196030 + 0.980598i \(0.562805\pi\)
\(398\) 1.47928 0.0741496
\(399\) −0.787630 + 10.0616i −0.0394308 + 0.503710i
\(400\) 1.03264 0.0516322
\(401\) 24.8620 + 14.3541i 1.24155 + 0.716807i 0.969409 0.245451i \(-0.0789360\pi\)
0.272138 + 0.962258i \(0.412269\pi\)
\(402\) −1.94183 25.4946i −0.0968497 1.27155i
\(403\) 18.2012 + 31.5254i 0.906668 + 1.57039i
\(404\) −0.415726 + 0.720059i −0.0206831 + 0.0358243i
\(405\) 4.81368 21.5748i 0.239194 1.07206i
\(406\) 13.5095 + 2.09903i 0.670467 + 0.104173i
\(407\) 22.0312i 1.09204i
\(408\) −9.53451 + 6.51757i −0.472029 + 0.322668i
\(409\) 5.71982 3.30234i 0.282827 0.163290i −0.351876 0.936047i \(-0.614456\pi\)
0.634703 + 0.772757i \(0.281123\pi\)
\(410\) −14.1647 + 8.17799i −0.699545 + 0.403882i
\(411\) −21.4354 + 14.6527i −1.05733 + 0.722765i
\(412\) 6.47533i 0.319016i
\(413\) 13.8181 17.1669i 0.679947 0.844727i
\(414\) 1.87619 + 2.34092i 0.0922095 + 0.115050i
\(415\) −17.1251 + 29.6616i −0.840640 + 1.45603i
\(416\) −3.16398 5.48017i −0.155127 0.268688i
\(417\) −1.15305 15.1386i −0.0564651 0.741339i
\(418\) −7.10178 4.10021i −0.347359 0.200548i
\(419\) 15.9416 0.778797 0.389398 0.921069i \(-0.372683\pi\)
0.389398 + 0.921069i \(0.372683\pi\)
\(420\) 4.84985 + 10.1570i 0.236649 + 0.495610i
\(421\) −18.2412 −0.889020 −0.444510 0.895774i \(-0.646622\pi\)
−0.444510 + 0.895774i \(0.646622\pi\)
\(422\) −24.3728 14.0716i −1.18645 0.684997i
\(423\) −1.03699 + 2.66129i −0.0504204 + 0.129396i
\(424\) −4.23343 7.33252i −0.205594 0.356099i
\(425\) 3.44282 5.96314i 0.167001 0.289255i
\(426\) −0.559158 + 1.16474i −0.0270913 + 0.0564316i
\(427\) −5.18506 + 33.3716i −0.250923 + 1.61496i
\(428\) 5.11925i 0.247448i
\(429\) 23.0307 + 33.6915i 1.11193 + 1.62664i
\(430\) −11.2279 + 6.48245i −0.541459 + 0.312611i
\(431\) 8.87858 5.12605i 0.427666 0.246913i −0.270686 0.962668i \(-0.587250\pi\)
0.698352 + 0.715755i \(0.253917\pi\)
\(432\) 1.51341 4.97087i 0.0728141 0.239161i
\(433\) 35.9112i 1.72578i 0.505390 + 0.862891i \(0.331349\pi\)
−0.505390 + 0.862891i \(0.668651\pi\)
\(434\) −5.49611 14.1931i −0.263822 0.681288i
\(435\) 19.8176 + 9.51388i 0.950180 + 0.456156i
\(436\) −5.73238 + 9.92878i −0.274531 + 0.475502i
\(437\) −1.10117 1.90728i −0.0526761 0.0912377i
\(438\) −17.0366 + 1.29762i −0.814041 + 0.0620026i
\(439\) −22.5828 13.0382i −1.07782 0.622277i −0.147510 0.989061i \(-0.547126\pi\)
−0.930306 + 0.366783i \(0.880459\pi\)
\(440\) −9.14547 −0.435993
\(441\) −13.2021 + 16.3311i −0.628670 + 0.777672i
\(442\) −42.1947 −2.00700
\(443\) −3.36497 1.94277i −0.159875 0.0923036i 0.417928 0.908480i \(-0.362756\pi\)
−0.577803 + 0.816176i \(0.696090\pi\)
\(444\) −10.2186 + 0.778311i −0.484951 + 0.0369370i
\(445\) 2.83405 + 4.90871i 0.134347 + 0.232695i
\(446\) 11.9440 20.6876i 0.565565 0.979587i
\(447\) −13.8169 6.63310i −0.653515 0.313735i
\(448\) 0.955407 + 2.46722i 0.0451387 + 0.116565i
\(449\) 9.51870i 0.449215i −0.974449 0.224608i \(-0.927890\pi\)
0.974449 0.224608i \(-0.0721100\pi\)
\(450\) 0.469195 + 3.06220i 0.0221181 + 0.144353i
\(451\) 21.4736 12.3978i 1.01115 0.583790i
\(452\) −2.78990 + 1.61075i −0.131226 + 0.0757634i
\(453\) −6.56675 9.60645i −0.308533 0.451350i
\(454\) 17.5420i 0.823288i
\(455\) −6.31341 + 40.6337i −0.295977 + 1.90494i
\(456\) −1.65088 + 3.43882i −0.0773097 + 0.161037i
\(457\) −4.44242 + 7.69450i −0.207808 + 0.359933i −0.951024 0.309118i \(-0.899966\pi\)
0.743216 + 0.669052i \(0.233299\pi\)
\(458\) 13.5710 + 23.5057i 0.634133 + 1.09835i
\(459\) −23.6593 25.3122i −1.10432 1.18147i
\(460\) −2.12708 1.22807i −0.0991758 0.0572592i
\(461\) −28.0831 −1.30796 −0.653980 0.756512i \(-0.726902\pi\)
−0.653980 + 0.756512i \(0.726902\pi\)
\(462\) −7.35236 15.3980i −0.342063 0.716378i
\(463\) −4.54894 −0.211407 −0.105704 0.994398i \(-0.533709\pi\)
−0.105704 + 0.994398i \(0.533709\pi\)
\(464\) 4.47509 + 2.58370i 0.207751 + 0.119945i
\(465\) −1.85861 24.4020i −0.0861911 1.13162i
\(466\) 10.7242 + 18.5749i 0.496791 + 0.860467i
\(467\) 0.840217 1.45530i 0.0388806 0.0673432i −0.845930 0.533294i \(-0.820954\pi\)
0.884811 + 0.465950i \(0.154287\pi\)
\(468\) 14.8133 11.8724i 0.684744 0.548803i
\(469\) −24.4897 + 30.4246i −1.13083 + 1.40488i
\(470\) 2.33841i 0.107863i
\(471\) −5.60987 + 3.83478i −0.258489 + 0.176697i
\(472\) 7.21340 4.16466i 0.332024 0.191694i
\(473\) 17.0215 9.82737i 0.782649 0.451863i
\(474\) 1.60399 1.09645i 0.0736736 0.0503616i
\(475\) 2.27423i 0.104349i
\(476\) 17.4326 + 2.70857i 0.799024 + 0.124147i
\(477\) 19.8203 15.8854i 0.907509 0.727343i
\(478\) −7.70617 + 13.3475i −0.352472 + 0.610499i
\(479\) 19.2533 + 33.3477i 0.879707 + 1.52370i 0.851663 + 0.524090i \(0.175594\pi\)
0.0280437 + 0.999607i \(0.491072\pi\)
\(480\) 0.323089 + 4.24188i 0.0147469 + 0.193614i
\(481\) −32.4249 18.7205i −1.47845 0.853584i
\(482\) −18.9305 −0.862259
\(483\) 0.357633 4.56860i 0.0162729 0.207878i
\(484\) 2.86451 0.130205
\(485\) −32.3682 18.6878i −1.46976 0.848568i
\(486\) 15.4282 + 2.22928i 0.699839 + 0.101122i
\(487\) −10.2775 17.8012i −0.465719 0.806649i 0.533514 0.845791i \(-0.320871\pi\)
−0.999234 + 0.0391415i \(0.987538\pi\)
\(488\) −6.38231 + 11.0545i −0.288913 + 0.500413i
\(489\) 7.66839 15.9734i 0.346777 0.722342i
\(490\) 5.21674 16.3825i 0.235668 0.740084i
\(491\) 3.29864i 0.148866i −0.997226 0.0744328i \(-0.976285\pi\)
0.997226 0.0744328i \(-0.0237146\pi\)
\(492\) −6.50901 9.52198i −0.293449 0.429284i
\(493\) 29.8398 17.2280i 1.34392 0.775911i
\(494\) −12.0692 + 6.96815i −0.543019 + 0.313512i
\(495\) −4.15536 27.1199i −0.186770 1.21895i
\(496\) 5.75264i 0.258301i
\(497\) 1.84039 0.712673i 0.0825530 0.0319678i
\(498\) −21.7739 10.4530i −0.975710 0.468412i
\(499\) −5.23934 + 9.07480i −0.234545 + 0.406244i −0.959140 0.282931i \(-0.908693\pi\)
0.724595 + 0.689174i \(0.242027\pi\)
\(500\) 4.87220 + 8.43890i 0.217891 + 0.377399i
\(501\) −16.1837 + 1.23266i −0.723037 + 0.0550711i
\(502\) −1.03947 0.600140i −0.0463939 0.0267856i
\(503\) −6.00823 −0.267894 −0.133947 0.990989i \(-0.542765\pi\)
−0.133947 + 0.990989i \(0.542765\pi\)
\(504\) −6.88219 + 3.95417i −0.306557 + 0.176133i
\(505\) 2.04217 0.0908752
\(506\) 3.22465 + 1.86175i 0.143353 + 0.0827650i
\(507\) 46.7047 3.55733i 2.07423 0.157986i
\(508\) −3.89496 6.74628i −0.172811 0.299318i
\(509\) −9.35979 + 16.2116i −0.414865 + 0.718568i −0.995414 0.0956576i \(-0.969505\pi\)
0.580549 + 0.814225i \(0.302838\pi\)
\(510\) 25.5725 + 12.2767i 1.13237 + 0.543619i
\(511\) 20.3311 + 16.3651i 0.899395 + 0.723950i
\(512\) 1.00000i 0.0441942i
\(513\) −10.9476 3.33305i −0.483346 0.147158i
\(514\) −5.31035 + 3.06593i −0.234230 + 0.135233i
\(515\) −13.7736 + 7.95217i −0.606935 + 0.350414i
\(516\) −5.15949 7.54779i −0.227134 0.332273i
\(517\) 3.54502i 0.155910i
\(518\) 12.1946 + 9.81579i 0.535799 + 0.431281i
\(519\) −6.56949 + 13.6844i −0.288369 + 0.600677i
\(520\) −7.77119 + 13.4601i −0.340789 + 0.590264i
\(521\) −11.0534 19.1450i −0.484258 0.838759i 0.515579 0.856842i \(-0.327577\pi\)
−0.999836 + 0.0180832i \(0.994244\pi\)
\(522\) −5.62836 + 14.4443i −0.246347 + 0.632212i
\(523\) 3.80741 + 2.19821i 0.166486 + 0.0961209i 0.580928 0.813955i \(-0.302690\pi\)
−0.414442 + 0.910076i \(0.636023\pi\)
\(524\) −5.09003 −0.222359
\(525\) 2.67870 3.90103i 0.116908 0.170255i
\(526\) −7.43899 −0.324355
\(527\) −33.2194 19.1792i −1.44706 0.835460i
\(528\) −0.489802 6.43068i −0.0213159 0.279859i
\(529\) 0.500000 + 0.866025i 0.0217391 + 0.0376533i
\(530\) −10.3979 + 18.0097i −0.451657 + 0.782293i
\(531\) 15.6274 + 19.4983i 0.678170 + 0.846155i
\(532\) 5.43367 2.10413i 0.235579 0.0912256i
\(533\) 42.1392i 1.82525i
\(534\) −3.29980 + 2.25567i −0.142796 + 0.0976122i
\(535\) −10.8891 + 6.28681i −0.470776 + 0.271802i
\(536\) −12.7842 + 7.38097i −0.552194 + 0.318809i
\(537\) 22.6969 15.5151i 0.979445 0.669526i
\(538\) 6.70545i 0.289093i
\(539\) −7.90857 + 24.8358i −0.340646 + 1.06975i
\(540\) −12.4320 + 2.88544i −0.534990 + 0.124169i
\(541\) 8.44144 14.6210i 0.362926 0.628606i −0.625515 0.780212i \(-0.715111\pi\)
0.988441 + 0.151606i \(0.0484445\pi\)
\(542\) −3.95350 6.84766i −0.169817 0.294132i
\(543\) −0.862876 11.3288i −0.0370296 0.486167i
\(544\) 5.77463 + 3.33399i 0.247585 + 0.142944i
\(545\) 28.1591 1.20620
\(546\) −28.9099 2.26309i −1.23723 0.0968513i
\(547\) 37.4651 1.60189 0.800946 0.598737i \(-0.204330\pi\)
0.800946 + 0.598737i \(0.204330\pi\)
\(548\) 12.9825 + 7.49542i 0.554583 + 0.320189i
\(549\) −35.6808 13.9033i −1.52282 0.593379i
\(550\) 1.92253 + 3.32992i 0.0819769 + 0.141988i
\(551\) 5.69018 9.85568i 0.242410 0.419866i
\(552\) 0.749605 1.56144i 0.0319053 0.0664593i
\(553\) −2.93269 0.455662i −0.124711 0.0193767i
\(554\) 11.6465i 0.494812i
\(555\) 14.2047 + 20.7799i 0.602954 + 0.882058i
\(556\) −7.59121 + 4.38278i −0.321939 + 0.185871i
\(557\) −30.8403 + 17.8057i −1.30675 + 0.754451i −0.981552 0.191196i \(-0.938763\pi\)
−0.325195 + 0.945647i \(0.605430\pi\)
\(558\) 17.0588 2.61378i 0.722158 0.110650i
\(559\) 33.4025i 1.41277i
\(560\) 4.07468 5.06216i 0.172187 0.213915i
\(561\) −38.7678 18.6114i −1.63678 0.785773i
\(562\) 13.9686 24.1942i 0.589228 1.02057i
\(563\) 9.13284 + 15.8185i 0.384903 + 0.666672i 0.991756 0.128142i \(-0.0409015\pi\)
−0.606853 + 0.794814i \(0.707568\pi\)
\(564\) 1.64426 0.125237i 0.0692359 0.00527345i
\(565\) 6.85241 + 3.95624i 0.288283 + 0.166440i
\(566\) 23.4367 0.985119
\(567\) −14.8527 18.6118i −0.623754 0.781621i
\(568\) 0.745937 0.0312988
\(569\) 11.3184 + 6.53466i 0.474491 + 0.273947i 0.718118 0.695922i \(-0.245004\pi\)
−0.243627 + 0.969869i \(0.578337\pi\)
\(570\) 9.34206 0.711551i 0.391296 0.0298036i
\(571\) 11.3721 + 19.6970i 0.475907 + 0.824296i 0.999619 0.0275999i \(-0.00878644\pi\)
−0.523712 + 0.851896i \(0.675453\pi\)
\(572\) 11.7811 20.4055i 0.492592 0.853195i
\(573\) −6.26863 3.00940i −0.261876 0.125720i
\(574\) −2.70501 + 17.4097i −0.112905 + 0.726668i
\(575\) 1.03264i 0.0430643i
\(576\) −2.96539 + 0.454363i −0.123558 + 0.0189318i
\(577\) 32.6624 18.8576i 1.35975 0.785053i 0.370162 0.928967i \(-0.379302\pi\)
0.989590 + 0.143914i \(0.0459689\pi\)
\(578\) 23.7827 13.7309i 0.989229 0.571132i
\(579\) −10.6500 15.5799i −0.442601 0.647478i
\(580\) 12.6919i 0.527001i
\(581\) 13.3229 + 34.4048i 0.552727 + 1.42735i
\(582\) 11.4068 23.7607i 0.472829 0.984911i
\(583\) 15.7632 27.3027i 0.652846 1.13076i
\(584\) 4.93229 + 8.54298i 0.204100 + 0.353511i
\(585\) −43.4454 16.9289i −1.79625 0.699922i
\(586\) −3.81466 2.20239i −0.157582 0.0909800i
\(587\) 22.4986 0.928616 0.464308 0.885674i \(-0.346303\pi\)
0.464308 + 0.885674i \(0.346303\pi\)
\(588\) 11.7988 + 2.79078i 0.486574 + 0.115090i
\(589\) −12.6693 −0.522028
\(590\) −17.7172 10.2290i −0.729404 0.421122i
\(591\) −2.92480 38.4001i −0.120310 1.57957i
\(592\) 2.95839 + 5.12408i 0.121589 + 0.210598i
\(593\) −12.0502 + 20.8715i −0.494841 + 0.857089i −0.999982 0.00594710i \(-0.998107\pi\)
0.505142 + 0.863037i \(0.331440\pi\)
\(594\) 18.8469 4.37431i 0.773299 0.179480i
\(595\) −15.6472 40.4070i −0.641472 1.65653i
\(596\) 8.84880i 0.362461i
\(597\) 2.11522 1.44591i 0.0865700 0.0591773i
\(598\) 5.48017 3.16398i 0.224101 0.129385i
\(599\) 17.2060 9.93387i 0.703017 0.405887i −0.105453 0.994424i \(-0.533629\pi\)
0.808470 + 0.588537i \(0.200296\pi\)
\(600\) 1.47657 1.00935i 0.0602809 0.0412066i
\(601\) 42.9999i 1.75400i −0.480487 0.877002i \(-0.659540\pi\)
0.480487 0.877002i \(-0.340460\pi\)
\(602\) −2.14418 + 13.8002i −0.0873903 + 0.562453i
\(603\) −27.6961 34.5566i −1.12787 1.40725i
\(604\) −3.35914 + 5.81821i −0.136682 + 0.236739i
\(605\) −3.51782 6.09304i −0.143020 0.247717i
\(606\) 0.109372 + 1.43596i 0.00444293 + 0.0583318i
\(607\) −21.9347 12.6640i −0.890303 0.514016i −0.0162611 0.999868i \(-0.505176\pi\)
−0.874041 + 0.485851i \(0.838510\pi\)
\(608\) 2.20234 0.0893167
\(609\) 21.3689 10.2034i 0.865913 0.413464i
\(610\) 31.3517 1.26939
\(611\) 5.21747 + 3.01231i 0.211076 + 0.121865i
\(612\) −7.26280 + 18.6389i −0.293581 + 0.753433i
\(613\) −0.300248 0.520045i −0.0121269 0.0210044i 0.859898 0.510465i \(-0.170527\pi\)
−0.872025 + 0.489461i \(0.837194\pi\)
\(614\) 5.49868 9.52400i 0.221909 0.384357i
\(615\) −12.2605 + 25.5389i −0.494392 + 1.02983i
\(616\) −6.17721 + 7.67422i −0.248887 + 0.309203i
\(617\) 5.30741i 0.213668i 0.994277 + 0.106834i \(0.0340714\pi\)
−0.994277 + 0.106834i \(0.965929\pi\)
\(618\) −6.32927 9.25904i −0.254600 0.372453i
\(619\) 21.1309 12.1999i 0.849321 0.490356i −0.0111004 0.999938i \(-0.503533\pi\)
0.860422 + 0.509582i \(0.170200\pi\)
\(620\) −12.2363 + 7.06466i −0.491423 + 0.283723i
\(621\) 4.97087 + 1.51341i 0.199474 + 0.0607311i
\(622\) 29.0830i 1.16612i
\(623\) 6.03326 + 0.937409i 0.241717 + 0.0375565i
\(624\) −9.88072 4.74347i −0.395545 0.189891i
\(625\) 14.5484 25.1986i 0.581937 1.00795i
\(626\) −2.95953 5.12605i −0.118286 0.204878i
\(627\) −14.1625 + 1.07871i −0.565597 + 0.0430795i
\(628\) 3.39765 + 1.96163i 0.135581 + 0.0782777i
\(629\) 39.4529 1.57309
\(630\) 16.8627 + 9.78298i 0.671825 + 0.389763i
\(631\) 5.09746 0.202927 0.101463 0.994839i \(-0.467648\pi\)
0.101463 + 0.994839i \(0.467648\pi\)
\(632\) −0.971465 0.560876i −0.0386428 0.0223104i
\(633\) −48.6048 + 3.70205i −1.93187 + 0.147143i
\(634\) 3.34182 + 5.78820i 0.132721 + 0.229879i
\(635\) −9.56659 + 16.5698i −0.379639 + 0.657553i
\(636\) −13.2205 6.34680i −0.524227 0.251667i
\(637\) 29.8326 + 32.7434i 1.18201 + 1.29734i
\(638\) 19.2408i 0.761752i
\(639\) 0.338926 + 2.21200i 0.0134077 + 0.0875052i
\(640\) 2.12708 1.22807i 0.0840803 0.0485438i
\(641\) 26.5699 15.3401i 1.04945 0.605898i 0.126952 0.991909i \(-0.459480\pi\)
0.922494 + 0.386010i \(0.126147\pi\)
\(642\) −5.00378 7.32000i −0.197483 0.288897i
\(643\) 5.85046i 0.230720i −0.993324 0.115360i \(-0.963198\pi\)
0.993324 0.115360i \(-0.0368021\pi\)
\(644\) −2.46722 + 0.955407i −0.0972223 + 0.0376483i
\(645\) −9.71854 + 20.2439i −0.382667 + 0.797103i
\(646\) 7.34257 12.7177i 0.288890 0.500371i
\(647\) 20.4855 + 35.4820i 0.805370 + 1.39494i 0.916041 + 0.401084i \(0.131366\pi\)
−0.110672 + 0.993857i \(0.535300\pi\)
\(648\) −2.69473 8.58711i −0.105859 0.337334i
\(649\) 26.8592 + 15.5071i 1.05431 + 0.608709i
\(650\) 6.53453 0.256305
\(651\) −21.7318 14.9225i −0.851736 0.584857i
\(652\) −10.2299 −0.400634
\(653\) 23.9896 + 13.8504i 0.938784 + 0.542007i 0.889579 0.456781i \(-0.150998\pi\)
0.0492052 + 0.998789i \(0.484331\pi\)
\(654\) 1.50811 + 19.8002i 0.0589718 + 0.774249i
\(655\) 6.25093 + 10.8269i 0.244244 + 0.423043i
\(656\) −3.32961 + 5.76705i −0.129999 + 0.225165i
\(657\) −23.0922 + 18.5078i −0.900914 + 0.722058i
\(658\) −1.96222 1.57945i −0.0764954 0.0615734i
\(659\) 4.53069i 0.176491i −0.996099 0.0882454i \(-0.971874\pi\)
0.996099 0.0882454i \(-0.0281260\pi\)
\(660\) −13.0771 + 8.93918i −0.509024 + 0.347957i
\(661\) −7.70388 + 4.44784i −0.299646 + 0.173001i −0.642284 0.766467i \(-0.722013\pi\)
0.342638 + 0.939468i \(0.388680\pi\)
\(662\) −23.1042 + 13.3392i −0.897969 + 0.518443i
\(663\) −60.3340 + 41.2429i −2.34318 + 1.60174i
\(664\) 13.9447i 0.541161i
\(665\) −11.1486 8.97384i −0.432324 0.347991i
\(666\) −13.8507 + 11.1010i −0.536705 + 0.430154i
\(667\) −2.58370 + 4.47509i −0.100041 + 0.173276i
\(668\) 4.68538 + 8.11531i 0.181283 + 0.313991i
\(669\) −3.14230 41.2558i −0.121488 1.59504i
\(670\) 31.3999 + 18.1287i 1.21308 + 0.700373i
\(671\) −47.5291 −1.83484
\(672\) 3.77771 + 2.59402i 0.145728 + 0.100066i
\(673\) 9.36655 0.361054 0.180527 0.983570i \(-0.442220\pi\)
0.180527 + 0.983570i \(0.442220\pi\)
\(674\) 15.1375 + 8.73962i 0.583073 + 0.336638i
\(675\) 3.66403 + 3.92001i 0.141028 + 0.150881i
\(676\) −13.5215 23.4200i −0.520059 0.900768i
\(677\) 5.75743 9.97216i 0.221276 0.383261i −0.733920 0.679236i \(-0.762311\pi\)
0.955196 + 0.295975i \(0.0956445\pi\)
\(678\) −2.41485 + 5.03018i −0.0927419 + 0.193183i
\(679\) −37.5441 + 14.5386i −1.44081 + 0.557939i
\(680\) 16.3775i 0.628049i
\(681\) 17.1464 + 25.0833i 0.657050 + 0.961194i
\(682\) 18.5503 10.7100i 0.710326 0.410107i
\(683\) 3.89871 2.25092i 0.149180 0.0861290i −0.423552 0.905872i \(-0.639217\pi\)
0.572732 + 0.819743i \(0.305884\pi\)
\(684\) 1.00066 + 6.53080i 0.0382612 + 0.249711i
\(685\) 36.8197i 1.40681i
\(686\) −10.2234 15.4429i −0.390331 0.589612i
\(687\) 42.3807 + 20.3458i 1.61692 + 0.776242i
\(688\) −2.63928 + 4.57136i −0.100622 + 0.174282i
\(689\) −26.7890 46.3999i −1.02058 1.76769i
\(690\) −4.24188 + 0.323089i −0.161486 + 0.0122998i
\(691\) 44.9506 + 25.9522i 1.71000 + 0.987270i 0.934527 + 0.355891i \(0.115823\pi\)
0.775474 + 0.631379i \(0.217511\pi\)
\(692\) 8.76394 0.333155
\(693\) −25.5638 14.8310i −0.971087 0.563382i
\(694\) −35.1765 −1.33528
\(695\) 18.6451 + 10.7648i 0.707249 + 0.408330i
\(696\) 8.92434 0.679735i 0.338276 0.0257653i
\(697\) 22.2017 + 38.4545i 0.840950 + 1.45657i
\(698\) −4.70898 + 8.15620i −0.178238 + 0.308717i
\(699\) 33.4905 + 16.0779i 1.26673 + 0.608121i
\(700\) −2.69973 0.419466i −0.102040 0.0158543i
\(701\) 7.74217i 0.292418i −0.989254 0.146209i \(-0.953293\pi\)
0.989254 0.146209i \(-0.0467071\pi\)
\(702\) 9.57681 31.4555i 0.361453 1.18721i
\(703\) 11.2850 6.51537i 0.425620 0.245732i
\(704\) −3.22465 + 1.86175i −0.121534 + 0.0701675i
\(705\) −2.28566 3.34368i −0.0860830 0.125930i
\(706\) 2.50969i 0.0944533i
\(707\) 1.37936 1.71364i 0.0518761 0.0644480i
\(708\) 6.24370 13.0057i 0.234653 0.488785i
\(709\) −4.30667 + 7.45936i −0.161740 + 0.280142i −0.935493 0.353346i \(-0.885044\pi\)
0.773753 + 0.633488i \(0.218377\pi\)
\(710\) −0.916065 1.58667i −0.0343793 0.0595467i
\(711\) 1.22182 3.13562i 0.0458218 0.117595i
\(712\) 1.99854 + 1.15386i 0.0748986 + 0.0432427i
\(713\) 5.75264 0.215438
\(714\) 27.5743 13.1664i 1.03194 0.492742i
\(715\) −57.8722 −2.16430
\(716\) −13.7465 7.93657i −0.513732 0.296603i
\(717\) 2.02739 + 26.6179i 0.0757142 + 0.994062i
\(718\) −8.27302 14.3293i −0.308746 0.534764i
\(719\) 16.7519 29.0152i 0.624741 1.08208i −0.363850 0.931458i \(-0.618538\pi\)
0.988591 0.150626i \(-0.0481288\pi\)
\(720\) 4.60818 + 5.74965i 0.171737 + 0.214277i
\(721\) −2.63032 + 16.9290i −0.0979581 + 0.630468i
\(722\) 14.1497i 0.526597i
\(723\) −27.0686 + 18.5035i −1.00669 + 0.688151i
\(724\) −5.68082 + 3.27982i −0.211126 + 0.121894i
\(725\) −4.62118 + 2.66804i −0.171626 + 0.0990885i
\(726\) 4.09595 2.79989i 0.152015 0.103914i
\(727\) 41.7463i 1.54829i −0.633011 0.774143i \(-0.718181\pi\)
0.633011 0.774143i \(-0.281819\pi\)
\(728\) 6.04577 + 15.6125i 0.224071 + 0.578638i
\(729\) 24.2398 11.8926i 0.897769 0.440466i
\(730\) 12.1144 20.9828i 0.448375 0.776608i
\(731\) 17.5986 + 30.4817i 0.650909 + 1.12741i
\(732\) 1.67910 + 22.0451i 0.0620612 + 0.814811i
\(733\) 15.6464 + 9.03346i 0.577913 + 0.333658i 0.760304 0.649568i \(-0.225050\pi\)
−0.182390 + 0.983226i \(0.558383\pi\)
\(734\) −20.8404 −0.769233
\(735\) −8.55354 28.5243i −0.315502 1.05213i
\(736\) −1.00000 −0.0368605
\(737\) −47.6021 27.4831i −1.75345 1.01235i
\(738\) −18.6144 7.25326i −0.685206 0.266996i
\(739\) −1.60099 2.77300i −0.0588934 0.102006i 0.835076 0.550135i \(-0.185424\pi\)
−0.893969 + 0.448129i \(0.852091\pi\)
\(740\) 7.26623 12.5855i 0.267112 0.462651i
\(741\) −10.4467 + 21.7607i −0.383770 + 0.799399i
\(742\) 8.08930 + 20.8897i 0.296967 + 0.766884i
\(743\) 8.68537i 0.318635i 0.987227 + 0.159318i \(0.0509294\pi\)
−0.987227 + 0.159318i \(0.949071\pi\)
\(744\) −5.62288 8.22568i −0.206145 0.301568i
\(745\) 18.8221 10.8670i 0.689589 0.398135i
\(746\) −24.4944 + 14.1419i −0.896805 + 0.517770i
\(747\) −41.3516 + 6.33597i −1.51298 + 0.231821i
\(748\) 24.8282i 0.907811i
\(749\) −2.07947 + 13.3837i −0.0759822 + 0.489029i
\(750\) 15.2153 + 7.30444i 0.555584 + 0.266721i
\(751\) 19.5186 33.8072i 0.712243 1.23364i −0.251770 0.967787i \(-0.581013\pi\)
0.964013 0.265854i \(-0.0856540\pi\)
\(752\) −0.476032 0.824512i −0.0173591 0.0300668i
\(753\) −2.07294 + 0.157888i −0.0755422 + 0.00575378i
\(754\) 28.3182 + 16.3495i 1.03129 + 0.595415i
\(755\) 16.5011 0.600536
\(756\) −5.97584 + 12.3810i −0.217339 + 0.450293i
\(757\) 37.4636 1.36164 0.680818 0.732453i \(-0.261624\pi\)
0.680818 + 0.732453i \(0.261624\pi\)
\(758\) −9.37919 5.41508i −0.340667 0.196684i
\(759\) 6.43068 0.489802i 0.233419 0.0177787i
\(760\) −2.70463 4.68456i −0.0981073 0.169927i
\(761\) 7.33028 12.6964i 0.265722 0.460244i −0.702030 0.712147i \(-0.747723\pi\)
0.967753 + 0.251903i \(0.0810563\pi\)
\(762\) −12.1635 5.83937i −0.440637 0.211538i
\(763\) 19.0198 23.6291i 0.688562 0.855431i
\(764\) 4.01465i 0.145245i
\(765\) 48.5657 7.44133i 1.75590 0.269042i
\(766\) 19.2637 11.1219i 0.696025 0.401850i
\(767\) 45.6461 26.3538i 1.64819 0.951581i
\(768\) 0.977444 + 1.42990i 0.0352705 + 0.0515969i
\(769\) 43.8994i 1.58305i 0.611135 + 0.791527i \(0.290713\pi\)
−0.611135 + 0.791527i \(0.709287\pi\)
\(770\) 23.9098 + 3.71495i 0.861648 + 0.133877i