Properties

Label 966.2.l.d.47.18
Level $966$
Weight $2$
Character 966.47
Analytic conductor $7.714$
Analytic rank $0$
Dimension $56$
Inner twists $4$

Related objects

Downloads

Learn more

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 47.18
Character \(\chi\) \(=\) 966.47
Dual form 966.2.l.d.185.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.866025 + 0.500000i) q^{2} +(-1.22254 + 1.22695i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.04467 - 1.80941i) q^{5} +(-1.67222 + 0.451299i) q^{6} +(-2.62205 - 0.353363i) q^{7} +1.00000i q^{8} +(-0.0108008 - 2.99998i) q^{9} +O(q^{10})\) \(q+(0.866025 + 0.500000i) q^{2} +(-1.22254 + 1.22695i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.04467 - 1.80941i) q^{5} +(-1.67222 + 0.451299i) q^{6} +(-2.62205 - 0.353363i) q^{7} +1.00000i q^{8} +(-0.0108008 - 2.99998i) q^{9} +(1.80941 - 1.04467i) q^{10} +(4.35244 - 2.51288i) q^{11} +(-1.67384 - 0.445275i) q^{12} -0.776166i q^{13} +(-2.09408 - 1.61705i) q^{14} +(0.942912 + 3.49383i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.09997 - 1.90520i) q^{17} +(1.49064 - 2.60346i) q^{18} +(-7.09187 - 4.09449i) q^{19} +2.08933 q^{20} +(3.63911 - 2.78512i) q^{21} +5.02576 q^{22} +(0.866025 + 0.500000i) q^{23} +(-1.22695 - 1.22254i) q^{24} +(0.317348 + 0.549662i) q^{25} +(0.388083 - 0.672180i) q^{26} +(3.69402 + 3.65434i) q^{27} +(-1.00500 - 2.44744i) q^{28} -9.23666i q^{29} +(-0.930328 + 3.49720i) q^{30} +(5.63719 - 3.25463i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-2.23785 + 8.41230i) q^{33} -2.19994i q^{34} +(-3.37854 + 4.37522i) q^{35} +(2.59266 - 1.50934i) q^{36} +(3.77210 - 6.53347i) q^{37} +(-4.09449 - 7.09187i) q^{38} +(0.952315 + 0.948893i) q^{39} +(1.80941 + 1.04467i) q^{40} +6.65401 q^{41} +(4.54412 - 0.592425i) q^{42} +2.58203 q^{43} +(4.35244 + 2.51288i) q^{44} +(-5.43949 - 3.11443i) q^{45} +(0.500000 + 0.866025i) q^{46} +(-3.82245 + 6.62068i) q^{47} +(-0.451299 - 1.67222i) q^{48} +(6.75027 + 1.85307i) q^{49} +0.634695i q^{50} +(3.68234 + 0.979579i) q^{51} +(0.672180 - 0.388083i) q^{52} +(-5.68919 + 3.28466i) q^{53} +(1.37195 + 5.01176i) q^{54} -10.5005i q^{55} +(0.353363 - 2.62205i) q^{56} +(13.6938 - 3.69568i) q^{57} +(4.61833 - 7.99919i) q^{58} +(1.82936 + 3.16855i) q^{59} +(-2.55429 + 2.56350i) q^{60} +(-2.91159 - 1.68101i) q^{61} +6.50927 q^{62} +(-1.03176 + 7.86991i) q^{63} -1.00000 q^{64} +(-1.40441 - 0.810834i) q^{65} +(-6.14418 + 6.16635i) q^{66} +(6.59763 + 11.4274i) q^{67} +(1.09997 - 1.90520i) q^{68} +(-1.67222 + 0.451299i) q^{69} +(-5.11352 + 2.09978i) q^{70} +3.55436i q^{71} +(2.99998 - 0.0108008i) q^{72} +(2.57128 - 1.48453i) q^{73} +(6.53347 - 3.77210i) q^{74} +(-1.06238 - 0.282614i) q^{75} -8.18899i q^{76} +(-12.3003 + 5.05090i) q^{77} +(0.350283 + 1.29792i) q^{78} +(1.96986 - 3.41189i) q^{79} +(1.04467 + 1.80941i) q^{80} +(-8.99977 + 0.0648045i) q^{81} +(5.76254 + 3.32700i) q^{82} -16.9290 q^{83} +(4.23154 + 1.75901i) q^{84} -4.59640 q^{85} +(2.23611 + 1.29102i) q^{86} +(11.3329 + 11.2922i) q^{87} +(2.51288 + 4.35244i) q^{88} +(1.57290 - 2.72434i) q^{89} +(-3.15352 - 5.41692i) q^{90} +(-0.274269 + 2.03515i) q^{91} +1.00000i q^{92} +(-2.89842 + 10.8955i) q^{93} +(-6.62068 + 3.82245i) q^{94} +(-14.8173 + 8.55476i) q^{95} +(0.445275 - 1.67384i) q^{96} -15.6628i q^{97} +(4.91937 + 4.97994i) q^{98} +(-7.58560 - 13.0301i) 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
\(3\) −1.22254 + 1.22695i −0.705833 + 0.708379i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 1.04467 1.80941i 0.467189 0.809194i −0.532109 0.846676i \(-0.678600\pi\)
0.999297 + 0.0374816i \(0.0119336\pi\)
\(6\) −1.67222 + 0.451299i −0.682682 + 0.184242i
\(7\) −2.62205 0.353363i −0.991041 0.133559i
\(8\) 1.00000i 0.353553i
\(9\) −0.0108008 2.99998i −0.00360028 0.999994i
\(10\) 1.80941 1.04467i 0.572187 0.330352i
\(11\) 4.35244 2.51288i 1.31231 0.757662i 0.329831 0.944040i \(-0.393008\pi\)
0.982478 + 0.186378i \(0.0596749\pi\)
\(12\) −1.67384 0.445275i −0.483195 0.128540i
\(13\) 0.776166i 0.215270i −0.994190 0.107635i \(-0.965672\pi\)
0.994190 0.107635i \(-0.0343278\pi\)
\(14\) −2.09408 1.61705i −0.559666 0.432174i
\(15\) 0.942912 + 3.49383i 0.243459 + 0.902102i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −1.09997 1.90520i −0.266782 0.462080i 0.701247 0.712918i \(-0.252627\pi\)
−0.968029 + 0.250838i \(0.919294\pi\)
\(18\) 1.49064 2.60346i 0.351346 0.613641i
\(19\) −7.09187 4.09449i −1.62699 0.939341i −0.984985 0.172638i \(-0.944771\pi\)
−0.642002 0.766703i \(-0.721896\pi\)
\(20\) 2.08933 0.467189
\(21\) 3.63911 2.78512i 0.794119 0.607762i
\(22\) 5.02576 1.07150
\(23\) 0.866025 + 0.500000i 0.180579 + 0.104257i
\(24\) −1.22695 1.22254i −0.250450 0.249550i
\(25\) 0.317348 + 0.549662i 0.0634695 + 0.109932i
\(26\) 0.388083 0.672180i 0.0761094 0.131825i
\(27\) 3.69402 + 3.65434i 0.710915 + 0.703278i
\(28\) −1.00500 2.44744i −0.189928 0.462523i
\(29\) 9.23666i 1.71521i −0.514313 0.857603i \(-0.671953\pi\)
0.514313 0.857603i \(-0.328047\pi\)
\(30\) −0.930328 + 3.49720i −0.169854 + 0.638498i
\(31\) 5.63719 3.25463i 1.01247 0.584550i 0.100556 0.994931i \(-0.467938\pi\)
0.911914 + 0.410382i \(0.134605\pi\)
\(32\) −0.866025 + 0.500000i −0.153093 + 0.0883883i
\(33\) −2.23785 + 8.41230i −0.389559 + 1.46439i
\(34\) 2.19994i 0.377287i
\(35\) −3.37854 + 4.37522i −0.571078 + 0.739548i
\(36\) 2.59266 1.50934i 0.432110 0.251557i
\(37\) 3.77210 6.53347i 0.620129 1.07410i −0.369332 0.929298i \(-0.620413\pi\)
0.989461 0.144798i \(-0.0462533\pi\)
\(38\) −4.09449 7.09187i −0.664215 1.15045i
\(39\) 0.952315 + 0.948893i 0.152492 + 0.151944i
\(40\) 1.80941 + 1.04467i 0.286093 + 0.165176i
\(41\) 6.65401 1.03918 0.519591 0.854415i \(-0.326084\pi\)
0.519591 + 0.854415i \(0.326084\pi\)
\(42\) 4.54412 0.592425i 0.701173 0.0914131i
\(43\) 2.58203 0.393756 0.196878 0.980428i \(-0.436920\pi\)
0.196878 + 0.980428i \(0.436920\pi\)
\(44\) 4.35244 + 2.51288i 0.656155 + 0.378831i
\(45\) −5.43949 3.11443i −0.810871 0.464272i
\(46\) 0.500000 + 0.866025i 0.0737210 + 0.127688i
\(47\) −3.82245 + 6.62068i −0.557562 + 0.965725i 0.440138 + 0.897930i \(0.354930\pi\)
−0.997699 + 0.0677948i \(0.978404\pi\)
\(48\) −0.451299 1.67222i −0.0651394 0.241365i
\(49\) 6.75027 + 1.85307i 0.964324 + 0.264724i
\(50\) 0.634695i 0.0897594i
\(51\) 3.68234 + 0.979579i 0.515631 + 0.137169i
\(52\) 0.672180 0.388083i 0.0932146 0.0538174i
\(53\) −5.68919 + 3.28466i −0.781470 + 0.451182i −0.836951 0.547278i \(-0.815664\pi\)
0.0554808 + 0.998460i \(0.482331\pi\)
\(54\) 1.37195 + 5.01176i 0.186699 + 0.682014i
\(55\) 10.5005i 1.41588i
\(56\) 0.353363 2.62205i 0.0472201 0.350386i
\(57\) 13.6938 3.69568i 1.81379 0.489505i
\(58\) 4.61833 7.99919i 0.606417 1.05034i
\(59\) 1.82936 + 3.16855i 0.238163 + 0.412510i 0.960187 0.279358i \(-0.0901215\pi\)
−0.722024 + 0.691868i \(0.756788\pi\)
\(60\) −2.55429 + 2.56350i −0.329757 + 0.330946i
\(61\) −2.91159 1.68101i −0.372791 0.215231i 0.301886 0.953344i \(-0.402384\pi\)
−0.674677 + 0.738113i \(0.735717\pi\)
\(62\) 6.50927 0.826678
\(63\) −1.03176 + 7.86991i −0.129990 + 0.991515i
\(64\) −1.00000 −0.125000
\(65\) −1.40441 0.810834i −0.174195 0.100572i
\(66\) −6.14418 + 6.16635i −0.756297 + 0.759025i
\(67\) 6.59763 + 11.4274i 0.806028 + 1.39608i 0.915595 + 0.402102i \(0.131720\pi\)
−0.109567 + 0.993979i \(0.534946\pi\)
\(68\) 1.09997 1.90520i 0.133391 0.231040i
\(69\) −1.67222 + 0.451299i −0.201312 + 0.0543300i
\(70\) −5.11352 + 2.09978i −0.611182 + 0.250972i
\(71\) 3.55436i 0.421825i 0.977505 + 0.210912i \(0.0676435\pi\)
−0.977505 + 0.210912i \(0.932357\pi\)
\(72\) 2.99998 0.0108008i 0.353551 0.00127289i
\(73\) 2.57128 1.48453i 0.300945 0.173751i −0.341922 0.939728i \(-0.611078\pi\)
0.642867 + 0.765978i \(0.277745\pi\)
\(74\) 6.53347 3.77210i 0.759500 0.438498i
\(75\) −1.06238 0.282614i −0.122673 0.0326335i
\(76\) 8.18899i 0.939341i
\(77\) −12.3003 + 5.05090i −1.40174 + 0.575604i
\(78\) 0.350283 + 1.29792i 0.0396617 + 0.146961i
\(79\) 1.96986 3.41189i 0.221626 0.383868i −0.733676 0.679500i \(-0.762197\pi\)
0.955302 + 0.295632i \(0.0955301\pi\)
\(80\) 1.04467 + 1.80941i 0.116797 + 0.202299i
\(81\) −8.99977 + 0.0648045i −0.999974 + 0.00720050i
\(82\) 5.76254 + 3.32700i 0.636366 + 0.367406i
\(83\) −16.9290 −1.85820 −0.929098 0.369833i \(-0.879415\pi\)
−0.929098 + 0.369833i \(0.879415\pi\)
\(84\) 4.23154 + 1.75901i 0.461698 + 0.191923i
\(85\) −4.59640 −0.498550
\(86\) 2.23611 + 1.29102i 0.241126 + 0.139214i
\(87\) 11.3329 + 11.2922i 1.21501 + 1.21065i
\(88\) 2.51288 + 4.35244i 0.267874 + 0.463971i
\(89\) 1.57290 2.72434i 0.166727 0.288780i −0.770540 0.637391i \(-0.780013\pi\)
0.937267 + 0.348612i \(0.113347\pi\)
\(90\) −3.15352 5.41692i −0.332410 0.570994i
\(91\) −0.274269 + 2.03515i −0.0287512 + 0.213341i
\(92\) 1.00000i 0.104257i
\(93\) −2.89842 + 10.8955i −0.300552 + 1.12981i
\(94\) −6.62068 + 3.82245i −0.682871 + 0.394256i
\(95\) −14.8173 + 8.55476i −1.52022 + 0.877699i
\(96\) 0.445275 1.67384i 0.0454457 0.170835i
\(97\) 15.6628i 1.59032i −0.606400 0.795160i \(-0.707387\pi\)
0.606400 0.795160i \(-0.292613\pi\)
\(98\) 4.91937 + 4.97994i 0.496931 + 0.503050i
\(99\) −7.58560 13.0301i −0.762382 1.30957i
\(100\) −0.317348 + 0.549662i −0.0317348 + 0.0549662i
\(101\) 1.93610 + 3.35342i 0.192649 + 0.333678i 0.946127 0.323795i \(-0.104959\pi\)
−0.753478 + 0.657473i \(0.771625\pi\)
\(102\) 2.69921 + 2.68951i 0.267262 + 0.266301i
\(103\) −12.1295 7.00299i −1.19516 0.690025i −0.235686 0.971829i \(-0.575734\pi\)
−0.959472 + 0.281805i \(0.909067\pi\)
\(104\) 0.776166 0.0761094
\(105\) −1.23777 9.49417i −0.120794 0.926536i
\(106\) −6.56931 −0.638068
\(107\) 9.48218 + 5.47454i 0.916677 + 0.529244i 0.882574 0.470174i \(-0.155809\pi\)
0.0341038 + 0.999418i \(0.489142\pi\)
\(108\) −1.31774 + 5.02629i −0.126799 + 0.483655i
\(109\) −7.83623 13.5727i −0.750575 1.30003i −0.947544 0.319624i \(-0.896443\pi\)
0.196970 0.980410i \(-0.436890\pi\)
\(110\) 5.25024 9.09368i 0.500591 0.867049i
\(111\) 3.40469 + 12.6156i 0.323159 + 1.19742i
\(112\) 1.61705 2.09408i 0.152796 0.197872i
\(113\) 5.01441i 0.471716i −0.971787 0.235858i \(-0.924210\pi\)
0.971787 0.235858i \(-0.0757901\pi\)
\(114\) 13.7070 + 3.64635i 1.28378 + 0.341512i
\(115\) 1.80941 1.04467i 0.168729 0.0974156i
\(116\) 7.99919 4.61833i 0.742706 0.428801i
\(117\) −2.32848 + 0.00838324i −0.215268 + 0.000775031i
\(118\) 3.65872i 0.336813i
\(119\) 2.21095 + 5.38423i 0.202677 + 0.493571i
\(120\) −3.49383 + 0.942912i −0.318941 + 0.0860757i
\(121\) 7.12914 12.3480i 0.648103 1.12255i
\(122\) −1.68101 2.91159i −0.152191 0.263603i
\(123\) −8.13478 + 8.16412i −0.733488 + 0.736134i
\(124\) 5.63719 + 3.25463i 0.506235 + 0.292275i
\(125\) 11.7727 1.05299
\(126\) −4.82849 + 6.29966i −0.430156 + 0.561218i
\(127\) 13.1325 1.16532 0.582661 0.812715i \(-0.302011\pi\)
0.582661 + 0.812715i \(0.302011\pi\)
\(128\) −0.866025 0.500000i −0.0765466 0.0441942i
\(129\) −3.15663 + 3.16802i −0.277926 + 0.278929i
\(130\) −0.810834 1.40441i −0.0711149 0.123175i
\(131\) 3.33134 5.77005i 0.291060 0.504132i −0.683000 0.730418i \(-0.739325\pi\)
0.974061 + 0.226287i \(0.0726586\pi\)
\(132\) −8.40419 + 2.26812i −0.731491 + 0.197414i
\(133\) 17.1484 + 13.2420i 1.48695 + 1.14822i
\(134\) 13.1953i 1.13990i
\(135\) 10.4712 2.86646i 0.901220 0.246705i
\(136\) 1.90520 1.09997i 0.163370 0.0943217i
\(137\) −7.97240 + 4.60287i −0.681128 + 0.393250i −0.800280 0.599626i \(-0.795316\pi\)
0.119152 + 0.992876i \(0.461982\pi\)
\(138\) −1.67384 0.445275i −0.142486 0.0379044i
\(139\) 1.40797i 0.119422i −0.998216 0.0597112i \(-0.980982\pi\)
0.998216 0.0597112i \(-0.0190180\pi\)
\(140\) −5.47833 0.738293i −0.463003 0.0623971i
\(141\) −3.45013 12.7840i −0.290554 1.07661i
\(142\) −1.77718 + 3.07816i −0.149138 + 0.258314i
\(143\) −1.95041 3.37821i −0.163102 0.282500i
\(144\) 2.60346 + 1.49064i 0.216955 + 0.124220i
\(145\) −16.7129 9.64922i −1.38793 0.801324i
\(146\) 2.96905 0.245721
\(147\) −10.5261 + 6.01678i −0.868177 + 0.496255i
\(148\) 7.54420 0.620129
\(149\) −6.71786 3.87856i −0.550349 0.317744i 0.198914 0.980017i \(-0.436259\pi\)
−0.749263 + 0.662273i \(0.769592\pi\)
\(150\) −0.778738 0.775939i −0.0635837 0.0633552i
\(151\) 7.37630 + 12.7761i 0.600275 + 1.03971i 0.992779 + 0.119957i \(0.0382755\pi\)
−0.392504 + 0.919750i \(0.628391\pi\)
\(152\) 4.09449 7.09187i 0.332107 0.575227i
\(153\) −5.70370 + 3.32047i −0.461117 + 0.268444i
\(154\) −13.1778 1.77592i −1.06190 0.143108i
\(155\) 13.6000i 1.09238i
\(156\) −0.345608 + 1.29918i −0.0276708 + 0.104017i
\(157\) −9.35198 + 5.39937i −0.746369 + 0.430916i −0.824381 0.566036i \(-0.808476\pi\)
0.0780113 + 0.996952i \(0.475143\pi\)
\(158\) 3.41189 1.96986i 0.271436 0.156713i
\(159\) 2.92515 10.9960i 0.231980 0.872036i
\(160\) 2.08933i 0.165176i
\(161\) −2.09408 1.61705i −0.165036 0.127441i
\(162\) −7.82643 4.44376i −0.614902 0.349135i
\(163\) −0.378425 + 0.655451i −0.0296405 + 0.0513389i −0.880465 0.474111i \(-0.842770\pi\)
0.850825 + 0.525450i \(0.176103\pi\)
\(164\) 3.32700 + 5.76254i 0.259795 + 0.449979i
\(165\) 12.8835 + 12.8372i 1.00298 + 0.999378i
\(166\) −14.6609 8.46449i −1.13791 0.656972i
\(167\) −13.3108 −1.03002 −0.515009 0.857185i \(-0.672211\pi\)
−0.515009 + 0.857185i \(0.672211\pi\)
\(168\) 2.78512 + 3.63911i 0.214876 + 0.280764i
\(169\) 12.3976 0.953659
\(170\) −3.98060 2.29820i −0.305298 0.176264i
\(171\) −12.2068 + 21.3197i −0.933478 + 1.63036i
\(172\) 1.29102 + 2.23611i 0.0984391 + 0.170501i
\(173\) −0.750518 + 1.29994i −0.0570608 + 0.0988323i −0.893145 0.449769i \(-0.851506\pi\)
0.836084 + 0.548601i \(0.184840\pi\)
\(174\) 4.16849 + 15.4458i 0.316013 + 1.17094i
\(175\) −0.637870 1.55338i −0.0482184 0.117424i
\(176\) 5.02576i 0.378831i
\(177\) −6.12411 1.62914i −0.460316 0.122454i
\(178\) 2.72434 1.57290i 0.204198 0.117894i
\(179\) −1.70253 + 0.982958i −0.127253 + 0.0734697i −0.562275 0.826950i \(-0.690074\pi\)
0.435022 + 0.900420i \(0.356741\pi\)
\(180\) −0.0225665 6.26795i −0.00168201 0.467186i
\(181\) 7.15346i 0.531713i 0.964013 + 0.265856i \(0.0856547\pi\)
−0.964013 + 0.265856i \(0.914345\pi\)
\(182\) −1.25510 + 1.62535i −0.0930339 + 0.120479i
\(183\) 5.62204 1.51727i 0.415593 0.112160i
\(184\) −0.500000 + 0.866025i −0.0368605 + 0.0638442i
\(185\) −7.88117 13.6506i −0.579435 1.00361i
\(186\) −7.95783 + 7.98653i −0.583496 + 0.585601i
\(187\) −9.57510 5.52819i −0.700201 0.404261i
\(188\) −7.64490 −0.557562
\(189\) −8.39460 10.8872i −0.610617 0.791926i
\(190\) −17.1095 −1.24125
\(191\) −3.40589 1.96639i −0.246442 0.142283i 0.371692 0.928356i \(-0.378778\pi\)
−0.618134 + 0.786073i \(0.712111\pi\)
\(192\) 1.22254 1.22695i 0.0882291 0.0885473i
\(193\) −0.159806 0.276792i −0.0115031 0.0199239i 0.860217 0.509929i \(-0.170328\pi\)
−0.871720 + 0.490005i \(0.836995\pi\)
\(194\) 7.83141 13.5644i 0.562263 0.973868i
\(195\) 2.71179 0.731857i 0.194195 0.0524094i
\(196\) 1.77033 + 6.77244i 0.126452 + 0.483746i
\(197\) 11.2889i 0.804302i −0.915573 0.402151i \(-0.868263\pi\)
0.915573 0.402151i \(-0.131737\pi\)
\(198\) −0.0542824 15.0772i −0.00385768 1.07149i
\(199\) −19.1608 + 11.0625i −1.35827 + 0.784198i −0.989391 0.145279i \(-0.953592\pi\)
−0.368880 + 0.929477i \(0.620259\pi\)
\(200\) −0.549662 + 0.317348i −0.0388670 + 0.0224399i
\(201\) −22.0867 5.87552i −1.55788 0.414427i
\(202\) 3.87220i 0.272447i
\(203\) −3.26390 + 24.2190i −0.229081 + 1.69984i
\(204\) 0.992830 + 3.67879i 0.0695120 + 0.257567i
\(205\) 6.95121 12.0399i 0.485494 0.840900i
\(206\) −7.00299 12.1295i −0.487921 0.845104i
\(207\) 1.49064 2.60346i 0.103606 0.180953i
\(208\) 0.672180 + 0.388083i 0.0466073 + 0.0269087i
\(209\) −41.1559 −2.84681
\(210\) 3.67515 8.84108i 0.253609 0.610093i
\(211\) −15.3139 −1.05425 −0.527127 0.849786i \(-0.676731\pi\)
−0.527127 + 0.849786i \(0.676731\pi\)
\(212\) −5.68919 3.28466i −0.390735 0.225591i
\(213\) −4.36101 4.34534i −0.298812 0.297738i
\(214\) 5.47454 + 9.48218i 0.374232 + 0.648189i
\(215\) 2.69736 4.67197i 0.183958 0.318625i
\(216\) −3.65434 + 3.69402i −0.248646 + 0.251346i
\(217\) −15.9311 + 6.54183i −1.08147 + 0.444088i
\(218\) 15.6725i 1.06147i
\(219\) −1.32205 + 4.96971i −0.0893356 + 0.335822i
\(220\) 9.09368 5.25024i 0.613096 0.353971i
\(221\) −1.47876 + 0.853760i −0.0994719 + 0.0574301i
\(222\) −3.35925 + 12.6278i −0.225458 + 0.847520i
\(223\) 14.7813i 0.989832i 0.868941 + 0.494916i \(0.164801\pi\)
−0.868941 + 0.494916i \(0.835199\pi\)
\(224\) 2.44744 1.00500i 0.163527 0.0671495i
\(225\) 1.64555 0.957973i 0.109703 0.0638649i
\(226\) 2.50721 4.34261i 0.166777 0.288866i
\(227\) 1.54930 + 2.68347i 0.102831 + 0.178108i 0.912850 0.408296i \(-0.133877\pi\)
−0.810019 + 0.586403i \(0.800543\pi\)
\(228\) 10.0475 + 10.0114i 0.665409 + 0.663018i
\(229\) 4.05805 + 2.34292i 0.268163 + 0.154824i 0.628053 0.778171i \(-0.283852\pi\)
−0.359889 + 0.932995i \(0.617186\pi\)
\(230\) 2.08933 0.137766
\(231\) 8.84034 21.2667i 0.581652 1.39925i
\(232\) 9.23666 0.606417
\(233\) 13.7534 + 7.94052i 0.901015 + 0.520201i 0.877529 0.479523i \(-0.159190\pi\)
0.0234854 + 0.999724i \(0.492524\pi\)
\(234\) −2.02072 1.15698i −0.132098 0.0756343i
\(235\) 7.98636 + 13.8328i 0.520973 + 0.902352i
\(236\) −1.82936 + 3.16855i −0.119081 + 0.206255i
\(237\) 1.77799 + 6.58808i 0.115493 + 0.427942i
\(238\) −0.777378 + 5.76835i −0.0503899 + 0.373907i
\(239\) 15.2972i 0.989495i 0.869037 + 0.494748i \(0.164740\pi\)
−0.869037 + 0.494748i \(0.835260\pi\)
\(240\) −3.49720 0.930328i −0.225743 0.0600524i
\(241\) −18.0665 + 10.4307i −1.16376 + 0.671899i −0.952203 0.305465i \(-0.901188\pi\)
−0.211561 + 0.977365i \(0.567855\pi\)
\(242\) 12.3480 7.12914i 0.793761 0.458278i
\(243\) 10.9230 11.1215i 0.700714 0.713443i
\(244\) 3.36201i 0.215231i
\(245\) 10.4047 10.2782i 0.664735 0.656650i
\(246\) −11.1270 + 3.00295i −0.709431 + 0.191461i
\(247\) −3.17801 + 5.50447i −0.202212 + 0.350241i
\(248\) 3.25463 + 5.63719i 0.206669 + 0.357962i
\(249\) 20.6963 20.7710i 1.31158 1.31631i
\(250\) 10.1955 + 5.88637i 0.644820 + 0.372287i
\(251\) 19.2730 1.21650 0.608249 0.793746i \(-0.291872\pi\)
0.608249 + 0.793746i \(0.291872\pi\)
\(252\) −7.33142 + 3.04142i −0.461836 + 0.191592i
\(253\) 5.02576 0.315967
\(254\) 11.3731 + 6.56626i 0.713611 + 0.412004i
\(255\) 5.61928 5.63955i 0.351893 0.353162i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −9.85541 + 17.0701i −0.614763 + 1.06480i 0.375662 + 0.926757i \(0.377415\pi\)
−0.990426 + 0.138045i \(0.955918\pi\)
\(258\) −4.31773 + 1.16527i −0.268810 + 0.0725464i
\(259\) −12.1993 + 15.7981i −0.758029 + 0.981649i
\(260\) 1.62167i 0.100572i
\(261\) −27.7098 + 0.0997636i −1.71519 + 0.00617521i
\(262\) 5.77005 3.33134i 0.356475 0.205811i
\(263\) 19.1716 11.0687i 1.18217 0.682528i 0.225657 0.974207i \(-0.427547\pi\)
0.956516 + 0.291679i \(0.0942139\pi\)
\(264\) −8.41230 2.23785i −0.517742 0.137730i
\(265\) 13.7255i 0.843149i
\(266\) 8.22995 + 20.0421i 0.504611 + 1.22886i
\(267\) 1.41970 + 5.26048i 0.0868840 + 0.321936i
\(268\) −6.59763 + 11.4274i −0.403014 + 0.698041i
\(269\) 2.93315 + 5.08036i 0.178837 + 0.309755i 0.941483 0.337062i \(-0.109433\pi\)
−0.762645 + 0.646817i \(0.776100\pi\)
\(270\) 10.5016 + 2.75319i 0.639106 + 0.167554i
\(271\) 0.820851 + 0.473918i 0.0498631 + 0.0287885i 0.524724 0.851272i \(-0.324168\pi\)
−0.474861 + 0.880061i \(0.657502\pi\)
\(272\) 2.19994 0.133391
\(273\) −2.16171 2.82456i −0.130833 0.170950i
\(274\) −9.20574 −0.556139
\(275\) 2.76247 + 1.59491i 0.166583 + 0.0961769i
\(276\) −1.22695 1.22254i −0.0738536 0.0735882i
\(277\) 5.83452 + 10.1057i 0.350562 + 0.607192i 0.986348 0.164674i \(-0.0526571\pi\)
−0.635786 + 0.771866i \(0.719324\pi\)
\(278\) 0.703984 1.21934i 0.0422222 0.0731310i
\(279\) −9.82473 16.8763i −0.588191 1.01036i
\(280\) −4.37522 3.37854i −0.261470 0.201907i
\(281\) 23.1479i 1.38089i 0.723385 + 0.690445i \(0.242585\pi\)
−0.723385 + 0.690445i \(0.757415\pi\)
\(282\) 3.40409 12.7963i 0.202710 0.762010i
\(283\) 27.4995 15.8768i 1.63467 0.943780i 0.652050 0.758176i \(-0.273909\pi\)
0.982625 0.185604i \(-0.0594240\pi\)
\(284\) −3.07816 + 1.77718i −0.182655 + 0.105456i
\(285\) 7.61844 28.6385i 0.451278 1.69640i
\(286\) 3.90083i 0.230661i
\(287\) −17.4471 2.35128i −1.02987 0.138792i
\(288\) 1.50934 + 2.59266i 0.0889390 + 0.152774i
\(289\) 6.08013 10.5311i 0.357655 0.619476i
\(290\) −9.64922 16.7129i −0.566622 0.981418i
\(291\) 19.2175 + 19.1484i 1.12655 + 1.12250i
\(292\) 2.57128 + 1.48453i 0.150473 + 0.0868753i
\(293\) 24.6678 1.44111 0.720554 0.693399i \(-0.243888\pi\)
0.720554 + 0.693399i \(0.243888\pi\)
\(294\) −12.1242 0.0523589i −0.707100 0.00305363i
\(295\) 7.64429 0.445068
\(296\) 6.53347 + 3.77210i 0.379750 + 0.219249i
\(297\) 25.2609 + 6.62264i 1.46579 + 0.384284i
\(298\) −3.87856 6.71786i −0.224679 0.389155i
\(299\) 0.388083 0.672180i 0.0224434 0.0388732i
\(300\) −0.286437 1.06135i −0.0165375 0.0612772i
\(301\) −6.77021 0.912395i −0.390229 0.0525896i
\(302\) 14.7526i 0.848917i
\(303\) −6.48142 1.72419i −0.372348 0.0990523i
\(304\) 7.09187 4.09449i 0.406747 0.234835i
\(305\) −6.08327 + 3.51218i −0.348327 + 0.201107i
\(306\) −6.59978 + 0.0237612i −0.377284 + 0.00135834i
\(307\) 27.3757i 1.56241i −0.624272 0.781207i \(-0.714604\pi\)
0.624272 0.781207i \(-0.285396\pi\)
\(308\) −10.5243 8.12688i −0.599680 0.463072i
\(309\) 23.4211 6.32088i 1.33238 0.359582i
\(310\) 6.80001 11.7780i 0.386215 0.668943i
\(311\) −1.66052 2.87611i −0.0941595 0.163089i 0.815098 0.579323i \(-0.196683\pi\)
−0.909258 + 0.416234i \(0.863350\pi\)
\(312\) −0.948893 + 0.952315i −0.0537205 + 0.0539142i
\(313\) 17.4739 + 10.0886i 0.987682 + 0.570239i 0.904581 0.426302i \(-0.140184\pi\)
0.0831016 + 0.996541i \(0.473517\pi\)
\(314\) −10.7987 −0.609408
\(315\) 13.1621 + 10.0883i 0.741599 + 0.568412i
\(316\) 3.93972 0.221626
\(317\) 21.4200 + 12.3669i 1.20307 + 0.694592i 0.961236 0.275726i \(-0.0889181\pi\)
0.241833 + 0.970318i \(0.422251\pi\)
\(318\) 8.03123 8.06020i 0.450369 0.451994i
\(319\) −23.2106 40.2020i −1.29955 2.25088i
\(320\) −1.04467 + 1.80941i −0.0583986 + 0.101149i
\(321\) −18.3093 + 4.94131i −1.02193 + 0.275797i
\(322\) −1.00500 2.44744i −0.0560066 0.136391i
\(323\) 18.0153i 1.00240i
\(324\) −4.55601 7.76162i −0.253111 0.431201i
\(325\) 0.426629 0.246314i 0.0236651 0.0136631i
\(326\) −0.655451 + 0.378425i −0.0363021 + 0.0209590i
\(327\) 26.2331 + 6.97856i 1.45070 + 0.385915i
\(328\) 6.65401i 0.367406i
\(329\) 12.3622 16.0090i 0.681547 0.882606i
\(330\) 4.73885 + 17.5591i 0.260865 + 0.966599i
\(331\) 10.4974 18.1821i 0.576992 0.999379i −0.418830 0.908065i \(-0.637560\pi\)
0.995822 0.0913148i \(-0.0291070\pi\)
\(332\) −8.46449 14.6609i −0.464549 0.804623i
\(333\) −19.6410 11.2457i −1.07632 0.616258i
\(334\) −11.5275 6.65538i −0.630755 0.364166i
\(335\) 27.5692 1.50627
\(336\) 0.592425 + 4.54412i 0.0323194 + 0.247902i
\(337\) 3.40543 0.185506 0.0927528 0.995689i \(-0.470433\pi\)
0.0927528 + 0.995689i \(0.470433\pi\)
\(338\) 10.7366 + 6.19878i 0.583994 + 0.337169i
\(339\) 6.15242 + 6.13031i 0.334154 + 0.332953i
\(340\) −2.29820 3.98060i −0.124638 0.215879i
\(341\) 16.3570 28.3312i 0.885782 1.53422i
\(342\) −21.2313 + 12.3600i −1.14805 + 0.668352i
\(343\) −17.0447 7.24414i −0.920328 0.391147i
\(344\) 2.58203i 0.139214i
\(345\) −0.930328 + 3.49720i −0.0500872 + 0.188283i
\(346\) −1.29994 + 0.750518i −0.0698850 + 0.0403481i
\(347\) −22.9738 + 13.2639i −1.23330 + 0.712045i −0.967716 0.252043i \(-0.918898\pi\)
−0.265582 + 0.964088i \(0.585564\pi\)
\(348\) −4.11286 + 15.4607i −0.220472 + 0.828779i
\(349\) 6.36902i 0.340926i 0.985364 + 0.170463i \(0.0545263\pi\)
−0.985364 + 0.170463i \(0.945474\pi\)
\(350\) 0.224278 1.66420i 0.0119882 0.0889553i
\(351\) 2.83637 2.86718i 0.151394 0.153039i
\(352\) −2.51288 + 4.35244i −0.133937 + 0.231986i
\(353\) 14.7160 + 25.4888i 0.783253 + 1.35663i 0.930037 + 0.367466i \(0.119775\pi\)
−0.146784 + 0.989169i \(0.546892\pi\)
\(354\) −4.48906 4.47293i −0.238591 0.237734i
\(355\) 6.43131 + 3.71312i 0.341338 + 0.197072i
\(356\) 3.14580 0.166727
\(357\) −9.30913 3.86971i −0.492691 0.204807i
\(358\) −1.96592 −0.103902
\(359\) 1.80170 + 1.04021i 0.0950903 + 0.0549004i 0.546791 0.837269i \(-0.315849\pi\)
−0.451701 + 0.892170i \(0.649183\pi\)
\(360\) 3.11443 5.43949i 0.164145 0.286686i
\(361\) 24.0298 + 41.6208i 1.26472 + 2.19057i
\(362\) −3.57673 + 6.19508i −0.187989 + 0.325606i
\(363\) 6.43474 + 23.8430i 0.337736 + 1.25143i
\(364\) −1.89962 + 0.780049i −0.0995672 + 0.0408857i
\(365\) 6.20333i 0.324697i
\(366\) 5.62746 + 1.49702i 0.294152 + 0.0782506i
\(367\) 30.5338 17.6287i 1.59385 0.920212i 0.601216 0.799086i \(-0.294683\pi\)
0.992637 0.121126i \(-0.0386504\pi\)
\(368\) −0.866025 + 0.500000i −0.0451447 + 0.0260643i
\(369\) −0.0718688 19.9619i −0.00374134 1.03917i
\(370\) 15.7623i 0.819445i
\(371\) 16.0780 6.60217i 0.834728 0.342768i
\(372\) −10.8849 + 2.93762i −0.564358 + 0.152309i
\(373\) −2.37163 + 4.10778i −0.122798 + 0.212693i −0.920870 0.389870i \(-0.872520\pi\)
0.798072 + 0.602562i \(0.205853\pi\)
\(374\) −5.52819 9.57510i −0.285856 0.495117i
\(375\) −14.3926 + 14.4445i −0.743232 + 0.745913i
\(376\) −6.62068 3.82245i −0.341435 0.197128i
\(377\) −7.16919 −0.369232
\(378\) −1.82634 13.6259i −0.0939369 0.700839i
\(379\) −33.7870 −1.73552 −0.867761 0.496982i \(-0.834441\pi\)
−0.867761 + 0.496982i \(0.834441\pi\)
\(380\) −14.8173 8.55476i −0.760110 0.438850i
\(381\) −16.0550 + 16.1129i −0.822523 + 0.825490i
\(382\) −1.96639 3.40589i −0.100609 0.174261i
\(383\) −8.10467 + 14.0377i −0.414129 + 0.717293i −0.995337 0.0964626i \(-0.969247\pi\)
0.581207 + 0.813755i \(0.302581\pi\)
\(384\) 1.67222 0.451299i 0.0853353 0.0230302i
\(385\) −3.71048 + 27.5328i −0.189104 + 1.40320i
\(386\) 0.319612i 0.0162678i
\(387\) −0.0278881 7.74605i −0.00141763 0.393754i
\(388\) 13.5644 7.83141i 0.688628 0.397580i
\(389\) −12.1498 + 7.01470i −0.616020 + 0.355659i −0.775318 0.631571i \(-0.782410\pi\)
0.159298 + 0.987231i \(0.449077\pi\)
\(390\) 2.71441 + 0.722089i 0.137449 + 0.0365644i
\(391\) 2.19994i 0.111256i
\(392\) −1.85307 + 6.75027i −0.0935942 + 0.340940i
\(393\) 3.00686 + 11.1415i 0.151676 + 0.562014i
\(394\) 5.64446 9.77648i 0.284364 0.492532i
\(395\) −4.11569 7.12858i −0.207083 0.358678i
\(396\) 7.49158 13.0844i 0.376466 0.657514i
\(397\) 14.9426 + 8.62712i 0.749948 + 0.432983i 0.825675 0.564146i \(-0.190794\pi\)
−0.0757269 + 0.997129i \(0.524128\pi\)
\(398\) −22.1250 −1.10902
\(399\) −37.2118 + 4.85136i −1.86292 + 0.242872i
\(400\) −0.634695 −0.0317348
\(401\) −3.47413 2.00579i −0.173490 0.100164i 0.410741 0.911752i \(-0.365270\pi\)
−0.584230 + 0.811588i \(0.698603\pi\)
\(402\) −16.1899 16.1317i −0.807478 0.804576i
\(403\) −2.52614 4.37540i −0.125836 0.217954i
\(404\) −1.93610 + 3.35342i −0.0963245 + 0.166839i
\(405\) −9.28449 + 16.3520i −0.461350 + 0.812538i
\(406\) −14.9361 + 19.3423i −0.741266 + 0.959942i
\(407\) 37.9154i 1.87939i
\(408\) −0.979579 + 3.68234i −0.0484964 + 0.182303i
\(409\) 7.69418 4.44224i 0.380453 0.219655i −0.297562 0.954702i \(-0.596174\pi\)
0.678015 + 0.735048i \(0.262840\pi\)
\(410\) 12.0399 6.95121i 0.594606 0.343296i
\(411\) 4.09909 15.4089i 0.202193 0.760065i
\(412\) 14.0060i 0.690025i
\(413\) −3.67703 8.95452i −0.180935 0.440623i
\(414\) 2.59266 1.50934i 0.127422 0.0741802i
\(415\) −17.6851 + 30.6315i −0.868128 + 1.50364i
\(416\) 0.388083 + 0.672180i 0.0190273 + 0.0329563i
\(417\) 1.72750 + 1.72130i 0.0845962 + 0.0842922i
\(418\) −35.6421 20.5780i −1.74331 1.00650i
\(419\) 26.1705 1.27851 0.639257 0.768994i \(-0.279242\pi\)
0.639257 + 0.768994i \(0.279242\pi\)
\(420\) 7.60331 5.81903i 0.371004 0.283940i
\(421\) 8.31175 0.405090 0.202545 0.979273i \(-0.435079\pi\)
0.202545 + 0.979273i \(0.435079\pi\)
\(422\) −13.2623 7.65697i −0.645597 0.372735i
\(423\) 19.9032 + 11.3958i 0.967726 + 0.554081i
\(424\) −3.28466 5.68919i −0.159517 0.276291i
\(425\) 0.698146 1.20922i 0.0338650 0.0586560i
\(426\) −1.60408 5.94368i −0.0777178 0.287972i
\(427\) 7.04032 + 5.43653i 0.340705 + 0.263092i
\(428\) 10.9491i 0.529244i
\(429\) 6.52935 + 1.73694i 0.315240 + 0.0838603i
\(430\) 4.67197 2.69736i 0.225302 0.130078i
\(431\) 7.96036 4.59592i 0.383437 0.221377i −0.295876 0.955226i \(-0.595611\pi\)
0.679313 + 0.733849i \(0.262278\pi\)
\(432\) −5.01176 + 1.37195i −0.241129 + 0.0660079i
\(433\) 14.6047i 0.701859i −0.936402 0.350929i \(-0.885866\pi\)
0.936402 0.350929i \(-0.114134\pi\)
\(434\) −17.0676 2.30014i −0.819272 0.110410i
\(435\) 32.2713 8.70937i 1.54729 0.417582i
\(436\) 7.83623 13.5727i 0.375287 0.650017i
\(437\) −4.09449 7.09187i −0.195866 0.339250i
\(438\) −3.62978 + 3.64287i −0.173438 + 0.174063i
\(439\) −5.12978 2.96168i −0.244831 0.141353i 0.372564 0.928006i \(-0.378479\pi\)
−0.617395 + 0.786653i \(0.711812\pi\)
\(440\) 10.5005 0.500591
\(441\) 5.48627 20.2707i 0.261251 0.965271i
\(442\) −1.70752 −0.0812184
\(443\) 23.9847 + 13.8476i 1.13955 + 0.657917i 0.946318 0.323236i \(-0.104771\pi\)
0.193228 + 0.981154i \(0.438104\pi\)
\(444\) −9.22307 + 9.25634i −0.437708 + 0.439286i
\(445\) −3.28631 5.69206i −0.155786 0.269829i
\(446\) −7.39067 + 12.8010i −0.349958 + 0.606146i
\(447\) 12.9716 3.50078i 0.613537 0.165581i
\(448\) 2.62205 + 0.353363i 0.123880 + 0.0166948i
\(449\) 28.7884i 1.35861i 0.733857 + 0.679304i \(0.237718\pi\)
−0.733857 + 0.679304i \(0.762282\pi\)
\(450\) 1.90407 0.00685523i 0.0897589 0.000323159i
\(451\) 28.9611 16.7207i 1.36373 0.787348i
\(452\) 4.34261 2.50721i 0.204259 0.117929i
\(453\) −24.6935 6.56897i −1.16020 0.308637i
\(454\) 3.09860i 0.145424i
\(455\) 3.39590 + 2.62231i 0.159202 + 0.122936i
\(456\) 3.69568 + 13.6938i 0.173066 + 0.641272i
\(457\) −3.36144 + 5.82218i −0.157241 + 0.272350i −0.933873 0.357605i \(-0.883593\pi\)
0.776632 + 0.629955i \(0.216927\pi\)
\(458\) 2.34292 + 4.05805i 0.109477 + 0.189620i
\(459\) 2.89895 11.0575i 0.135311 0.516122i
\(460\) 1.80941 + 1.04467i 0.0843644 + 0.0487078i
\(461\) −15.7725 −0.734600 −0.367300 0.930103i \(-0.619718\pi\)
−0.367300 + 0.930103i \(0.619718\pi\)
\(462\) 18.2893 13.9973i 0.850895 0.651214i
\(463\) −23.1541 −1.07606 −0.538031 0.842925i \(-0.680832\pi\)
−0.538031 + 0.842925i \(0.680832\pi\)
\(464\) 7.99919 + 4.61833i 0.371353 + 0.214401i
\(465\) 16.6865 + 16.6265i 0.773818 + 0.771037i
\(466\) 7.94052 + 13.7534i 0.367838 + 0.637114i
\(467\) −16.1736 + 28.0136i −0.748427 + 1.29631i 0.200149 + 0.979765i \(0.435857\pi\)
−0.948576 + 0.316548i \(0.897476\pi\)
\(468\) −1.17150 2.01233i −0.0541527 0.0930202i
\(469\) −13.2613 32.2946i −0.612348 1.49123i
\(470\) 15.9727i 0.736767i
\(471\) 4.80841 18.0753i 0.221560 0.832867i
\(472\) −3.16855 + 1.82936i −0.145844 + 0.0842032i
\(473\) 11.2381 6.48834i 0.516730 0.298334i
\(474\) −1.75426 + 6.59444i −0.0805758 + 0.302893i
\(475\) 5.19751i 0.238478i
\(476\) −3.55740 + 4.60685i −0.163053 + 0.211155i
\(477\) 9.91535 + 17.0320i 0.453993 + 0.779841i
\(478\) −7.64861 + 13.2478i −0.349839 + 0.605940i
\(479\) 0.542497 + 0.939632i 0.0247873 + 0.0429329i 0.878153 0.478380i \(-0.158776\pi\)
−0.853366 + 0.521313i \(0.825442\pi\)
\(480\) −2.56350 2.55429i −0.117007 0.116587i
\(481\) −5.07106 2.92778i −0.231220 0.133495i
\(482\) −20.8614 −0.950209
\(483\) 4.54412 0.592425i 0.206765 0.0269563i
\(484\) 14.2583 0.648103
\(485\) −28.3405 16.3624i −1.28688 0.742979i
\(486\) 15.0204 4.16995i 0.681338 0.189153i
\(487\) 5.56954 + 9.64673i 0.252380 + 0.437135i 0.964181 0.265246i \(-0.0854533\pi\)
−0.711801 + 0.702382i \(0.752120\pi\)
\(488\) 1.68101 2.91159i 0.0760956 0.131801i
\(489\) −0.341565 1.26562i −0.0154461 0.0572334i
\(490\) 14.1499 3.69880i 0.639226 0.167095i
\(491\) 25.9875i 1.17280i −0.810021 0.586400i \(-0.800545\pi\)
0.810021 0.586400i \(-0.199455\pi\)
\(492\) −11.1377 2.96287i −0.502127 0.133576i
\(493\) −17.5977 + 10.1601i −0.792562 + 0.457586i
\(494\) −5.50447 + 3.17801i −0.247658 + 0.142985i
\(495\) −31.5012 + 0.113414i −1.41588 + 0.00509757i
\(496\) 6.50927i 0.292275i
\(497\) 1.25598 9.31970i 0.0563384 0.418046i
\(498\) 28.3090 7.64002i 1.26856 0.342358i
\(499\) 10.2914 17.8253i 0.460707 0.797968i −0.538289 0.842760i \(-0.680929\pi\)
0.998996 + 0.0447920i \(0.0142625\pi\)
\(500\) 5.88637 + 10.1955i 0.263247 + 0.455956i
\(501\) 16.2729 16.3316i 0.727020 0.729643i
\(502\) 16.6909 + 9.63648i 0.744950 + 0.430097i
\(503\) 22.9013 1.02112 0.510560 0.859842i \(-0.329438\pi\)
0.510560 + 0.859842i \(0.329438\pi\)
\(504\) −7.86991 1.03176i −0.350554 0.0459583i
\(505\) 8.09030 0.360014
\(506\) 4.35244 + 2.51288i 0.193489 + 0.111711i
\(507\) −15.1565 + 15.2112i −0.673124 + 0.675552i
\(508\) 6.56626 + 11.3731i 0.291331 + 0.504600i
\(509\) 19.0516 32.9984i 0.844449 1.46263i −0.0416498 0.999132i \(-0.513261\pi\)
0.886099 0.463496i \(-0.153405\pi\)
\(510\) 7.68621 2.07435i 0.340351 0.0918538i
\(511\) −7.26658 + 2.98391i −0.321455 + 0.132000i
\(512\) 1.00000i 0.0441942i
\(513\) −11.2349 41.0413i −0.496032 1.81202i
\(514\) −17.0701 + 9.85541i −0.752928 + 0.434703i
\(515\) −25.3426 + 14.6316i −1.11673 + 0.644743i
\(516\) −4.32190 1.14972i −0.190261 0.0506134i
\(517\) 38.4214i 1.68977i
\(518\) −18.4640 + 7.58194i −0.811261 + 0.333131i
\(519\) −0.677416 2.51007i −0.0297352 0.110180i
\(520\) 0.810834 1.40441i 0.0355574 0.0615873i
\(521\) 9.58707 + 16.6053i 0.420017 + 0.727491i 0.995941 0.0900126i \(-0.0286907\pi\)
−0.575923 + 0.817504i \(0.695357\pi\)
\(522\) −24.0473 13.7685i −1.05252 0.602631i
\(523\) −1.51628 0.875422i −0.0663021 0.0382795i 0.466482 0.884530i \(-0.345521\pi\)
−0.532785 + 0.846251i \(0.678854\pi\)
\(524\) 6.66268 0.291060
\(525\) 2.68574 + 1.11643i 0.117215 + 0.0487251i
\(526\) 22.1375 0.965240
\(527\) −12.4015 7.16000i −0.540217 0.311895i
\(528\) −6.16635 6.14418i −0.268356 0.267391i
\(529\) 0.500000 + 0.866025i 0.0217391 + 0.0376533i
\(530\) −6.86273 + 11.8866i −0.298098 + 0.516321i
\(531\) 9.48583 5.52227i 0.411650 0.239646i
\(532\) −2.89369 + 21.4719i −0.125457 + 0.930926i
\(533\) 5.16462i 0.223704i
\(534\) −1.40075 + 5.26556i −0.0606163 + 0.227863i
\(535\) 19.8114 11.4381i 0.856523 0.494514i
\(536\) −11.4274 + 6.59763i −0.493589 + 0.284974i
\(537\) 0.875374 3.29062i 0.0377752 0.142001i
\(538\) 5.86630i 0.252914i
\(539\) 34.0367 8.89725i 1.46606 0.383232i
\(540\) 7.71804 + 7.63512i 0.332131 + 0.328563i
\(541\) 18.6580 32.3166i 0.802170 1.38940i −0.116015 0.993248i \(-0.537012\pi\)
0.918185 0.396152i \(-0.129655\pi\)
\(542\) 0.473918 + 0.820851i 0.0203565 + 0.0352586i
\(543\) −8.77692 8.74538i −0.376654 0.375300i
\(544\) 1.90520 + 1.09997i 0.0816850 + 0.0471608i
\(545\) −32.7450 −1.40264
\(546\) −0.459820 3.52699i −0.0196785 0.150941i
\(547\) −11.2862 −0.482562 −0.241281 0.970455i \(-0.577568\pi\)
−0.241281 + 0.970455i \(0.577568\pi\)
\(548\) −7.97240 4.60287i −0.340564 0.196625i
\(549\) −5.01154 + 8.75287i −0.213887 + 0.373563i
\(550\) 1.59491 + 2.76247i 0.0680073 + 0.117792i
\(551\) −37.8195 + 65.5052i −1.61116 + 2.79062i
\(552\) −0.451299 1.67222i −0.0192085 0.0711745i
\(553\) −6.37070 + 8.25007i −0.270910 + 0.350829i
\(554\) 11.6690i 0.495770i
\(555\) 26.3836 + 7.01858i 1.11992 + 0.297922i
\(556\) 1.21934 0.703984i 0.0517114 0.0298556i
\(557\) −21.6225 + 12.4838i −0.916176 + 0.528955i −0.882413 0.470475i \(-0.844083\pi\)
−0.0337632 + 0.999430i \(0.510749\pi\)
\(558\) −0.0703055 19.5277i −0.00297627 0.826673i
\(559\) 2.00409i 0.0847638i
\(560\) −2.09978 5.11352i −0.0887320 0.216085i
\(561\) 18.4887 4.98973i 0.780595 0.210667i
\(562\) −11.5740 + 20.0467i −0.488218 + 0.845619i
\(563\) 3.78677 + 6.55887i 0.159593 + 0.276424i 0.934722 0.355380i \(-0.115648\pi\)
−0.775129 + 0.631803i \(0.782315\pi\)
\(564\) 9.34618 9.37989i 0.393545 0.394965i
\(565\) −9.07315 5.23839i −0.381710 0.220381i
\(566\) 31.7537 1.33471
\(567\) 23.6207 + 3.01027i 0.991977 + 0.126419i
\(568\) −3.55436 −0.149138
\(569\) 23.5803 + 13.6141i 0.988539 + 0.570733i 0.904837 0.425758i \(-0.139992\pi\)
0.0837016 + 0.996491i \(0.473326\pi\)
\(570\) 20.9170 20.9925i 0.876118 0.879278i
\(571\) 22.6047 + 39.1525i 0.945978 + 1.63848i 0.753780 + 0.657127i \(0.228228\pi\)
0.192198 + 0.981356i \(0.438438\pi\)
\(572\) 1.95041 3.37821i 0.0815509 0.141250i
\(573\) 6.57650 1.77486i 0.274737 0.0741459i
\(574\) −13.9340 10.7598i −0.581594 0.449107i
\(575\) 0.634695i 0.0264686i
\(576\) 0.0108008 + 2.99998i 0.000450034 + 0.124999i
\(577\) 8.26393 4.77118i 0.344032 0.198627i −0.318022 0.948083i \(-0.603019\pi\)
0.662053 + 0.749457i \(0.269685\pi\)
\(578\) 10.5311 6.08013i 0.438036 0.252900i
\(579\) 0.534978 + 0.142315i 0.0222329 + 0.00591442i
\(580\) 19.2984i 0.801324i
\(581\) 44.3886 + 5.98208i 1.84155 + 0.248178i
\(582\) 7.06861 + 26.1917i 0.293003 + 1.08568i
\(583\) −16.5079 + 28.5925i −0.683687 + 1.18418i
\(584\) 1.48453 + 2.57128i 0.0614301 + 0.106400i
\(585\) −2.41732 + 4.22195i −0.0999438 + 0.174556i
\(586\) 21.3629 + 12.3339i 0.882495 + 0.509509i
\(587\) −10.2166 −0.421686 −0.210843 0.977520i \(-0.567621\pi\)
−0.210843 + 0.977520i \(0.567621\pi\)
\(588\) −10.4737 6.10747i −0.431929 0.251868i
\(589\) −53.3043 −2.19637
\(590\) 6.62015 + 3.82214i 0.272547 + 0.157355i
\(591\) 13.8509 + 13.8011i 0.569750 + 0.567702i
\(592\) 3.77210 + 6.53347i 0.155032 + 0.268524i
\(593\) −2.18233 + 3.77991i −0.0896177 + 0.155222i −0.907350 0.420377i \(-0.861898\pi\)
0.817732 + 0.575599i \(0.195231\pi\)
\(594\) 18.5653 + 18.3658i 0.761743 + 0.753559i
\(595\) 12.0520 + 1.62420i 0.494084 + 0.0665857i
\(596\) 7.75712i 0.317744i
\(597\) 9.85170 37.0336i 0.403203 1.51568i
\(598\) 0.672180 0.388083i 0.0274875 0.0158699i
\(599\) −33.5531 + 19.3719i −1.37094 + 0.791515i −0.991047 0.133514i \(-0.957374\pi\)
−0.379897 + 0.925029i \(0.624041\pi\)
\(600\) 0.282614 1.06238i 0.0115377 0.0433713i
\(601\) 0.397727i 0.0162236i −0.999967 0.00811182i \(-0.997418\pi\)
0.999967 0.00811182i \(-0.00258210\pi\)
\(602\) −5.40698 4.17526i −0.220372 0.170171i
\(603\) 34.2108 19.9162i 1.39317 0.811049i
\(604\) −7.37630 + 12.7761i −0.300137 + 0.519853i
\(605\) −14.8951 25.7991i −0.605573 1.04888i
\(606\) −4.75098 4.73391i −0.192995 0.192302i
\(607\) 14.7326 + 8.50585i 0.597977 + 0.345242i 0.768245 0.640156i \(-0.221130\pi\)
−0.170269 + 0.985398i \(0.554464\pi\)
\(608\) 8.18899 0.332107
\(609\) −25.7252 33.6132i −1.04244 1.36208i
\(610\) −7.02436 −0.284408
\(611\) 5.13875 + 2.96686i 0.207891 + 0.120026i
\(612\) −5.72746 3.27931i −0.231519 0.132558i
\(613\) −21.6516 37.5016i −0.874499 1.51468i −0.857295 0.514825i \(-0.827857\pi\)
−0.0172037 0.999852i \(-0.505476\pi\)
\(614\) 13.6879 23.7081i 0.552397 0.956779i
\(615\) 6.27415 + 23.2480i 0.252998 + 0.937448i
\(616\) −5.05090 12.3003i −0.203507 0.495591i
\(617\) 14.1911i 0.571311i −0.958332 0.285656i \(-0.907789\pi\)
0.958332 0.285656i \(-0.0922114\pi\)
\(618\) 23.4437 + 6.23651i 0.943044 + 0.250869i
\(619\) 8.35524 4.82390i 0.335826 0.193889i −0.322599 0.946536i \(-0.604557\pi\)
0.658425 + 0.752647i \(0.271223\pi\)
\(620\) 11.7780 6.80001i 0.473014 0.273095i
\(621\) 1.37195 + 5.01176i 0.0550544 + 0.201115i
\(622\) 3.32104i 0.133162i
\(623\) −5.08690 + 6.58755i −0.203802 + 0.263925i
\(624\) −1.29792 + 0.350283i −0.0519585 + 0.0140225i
\(625\) 10.7118 18.5535i 0.428474 0.742138i
\(626\) 10.0886 + 17.4739i 0.403220 + 0.698397i
\(627\) 50.3147 50.4961i 2.00937 2.01662i
\(628\) −9.35198 5.39937i −0.373185 0.215458i
\(629\) −16.5968 −0.661758
\(630\) 6.35454 + 15.3178i 0.253171 + 0.610275i
\(631\) 9.28189 0.369506 0.184753 0.982785i \(-0.440851\pi\)
0.184753 + 0.982785i \(0.440851\pi\)
\(632\) 3.41189 + 1.96986i 0.135718 + 0.0783567i
\(633\) 18.7219 18.7894i 0.744128 0.746811i
\(634\) 12.3669 + 21.4200i 0.491151 + 0.850698i
\(635\) 13.7191 23.7622i 0.544426 0.942973i
\(636\) 10.9854 2.96472i 0.435598 0.117559i
\(637\) 1.43829 5.23933i 0.0569871 0.207590i
\(638\) 46.4213i 1.83784i
\(639\) 10.6630 0.0383900i 0.421822 0.00151869i
\(640\) −1.80941 + 1.04467i −0.0715234 + 0.0412940i
\(641\) −31.7176 + 18.3122i −1.25277 + 0.723288i −0.971659 0.236387i \(-0.924037\pi\)
−0.281112 + 0.959675i \(0.590703\pi\)
\(642\) −18.3270 4.87536i −0.723308 0.192415i
\(643\) 13.1673i 0.519266i 0.965707 + 0.259633i \(0.0836017\pi\)
−0.965707 + 0.259633i \(0.916398\pi\)
\(644\) 0.353363 2.62205i 0.0139245 0.103323i
\(645\) 2.43463 + 9.02118i 0.0958635 + 0.355208i
\(646\) −9.00765 + 15.6017i −0.354401 + 0.613841i
\(647\) −13.5788 23.5192i −0.533838 0.924635i −0.999219 0.0395239i \(-0.987416\pi\)
0.465381 0.885111i \(-0.345917\pi\)
\(648\) −0.0648045 8.99977i −0.00254576 0.353544i
\(649\) 15.9244 + 9.19394i 0.625086 + 0.360894i
\(650\) 0.492629 0.0193225
\(651\) 11.4498 27.5442i 0.448755 1.07954i
\(652\) −0.756850 −0.0296405
\(653\) −27.1871 15.6965i −1.06391 0.614251i −0.137401 0.990515i \(-0.543875\pi\)
−0.926512 + 0.376265i \(0.877208\pi\)
\(654\) 19.2293 + 19.1602i 0.751925 + 0.749222i
\(655\) −6.96027 12.0555i −0.271960 0.471049i
\(656\) −3.32700 + 5.76254i −0.129898 + 0.224989i
\(657\) −4.48132 7.69774i −0.174833 0.300318i
\(658\) 18.7104 7.68314i 0.729409 0.299520i
\(659\) 6.29151i 0.245083i −0.992463 0.122541i \(-0.960896\pi\)
0.992463 0.122541i \(-0.0391044\pi\)
\(660\) −4.67560 + 17.5761i −0.181998 + 0.684148i
\(661\) 27.4766 15.8636i 1.06872 0.617024i 0.140887 0.990026i \(-0.455005\pi\)
0.927831 + 0.373001i \(0.121671\pi\)
\(662\) 18.1821 10.4974i 0.706668 0.407995i
\(663\) 0.760316 2.85811i 0.0295282 0.111000i
\(664\) 16.9290i 0.656972i
\(665\) 41.8745 17.1951i 1.62382 0.666797i
\(666\) −11.3868 19.5595i −0.441229 0.757917i
\(667\) 4.61833 7.99919i 0.178823 0.309730i
\(668\) −6.65538 11.5275i −0.257504 0.446011i
\(669\) −18.1359 18.0707i −0.701175 0.698656i
\(670\) 23.8757 + 13.7846i 0.922398 + 0.532546i
\(671\) −16.8967 −0.652289
\(672\) −1.75901 + 4.23154i −0.0678551 + 0.163235i
\(673\) −22.2560 −0.857905 −0.428952 0.903327i \(-0.641117\pi\)
−0.428952 + 0.903327i \(0.641117\pi\)
\(674\) 2.94919 + 1.70272i 0.113599 + 0.0655862i
\(675\) −0.836362 + 3.19016i −0.0321916 + 0.122789i
\(676\) 6.19878 + 10.7366i 0.238415 + 0.412946i
\(677\) −2.65203 + 4.59346i −0.101926 + 0.176541i −0.912478 0.409126i \(-0.865834\pi\)
0.810552 + 0.585666i \(0.199167\pi\)
\(678\) 2.26300 + 8.38522i 0.0869099 + 0.322032i
\(679\) −5.53467 + 41.0687i −0.212401 + 1.57607i
\(680\) 4.59640i 0.176264i
\(681\) −5.18655 1.37973i −0.198749 0.0528714i
\(682\) 28.3312 16.3570i 1.08486 0.626342i
\(683\) 1.11229 0.642181i 0.0425606 0.0245724i −0.478569 0.878050i \(-0.658844\pi\)
0.521129 + 0.853478i \(0.325511\pi\)
\(684\) −24.5668 + 0.0884479i −0.939335 + 0.00338189i
\(685\) 19.2338i 0.734887i
\(686\) −11.1391 14.7960i −0.425293 0.564913i
\(687\) −7.83576 + 2.11471i −0.298953 + 0.0806812i
\(688\) −1.29102 + 2.23611i −0.0492195 + 0.0852507i
\(689\) 2.54944 + 4.41576i 0.0971259 + 0.168227i
\(690\) −2.55429 + 2.56350i −0.0972401 + 0.0975908i
\(691\) 27.0402 + 15.6117i 1.02866 + 0.593896i 0.916600 0.399805i \(-0.130922\pi\)
0.112058 + 0.993702i \(0.464256\pi\)
\(692\) −1.50104 −0.0570608
\(693\) 15.2855 + 36.8460i 0.580647 + 1.39966i
\(694\) −26.5279 −1.00698
\(695\) −2.54760 1.47086i −0.0966359 0.0557928i
\(696\) −11.2922 + 11.3329i −0.428029 + 0.429573i
\(697\) −7.31921 12.6772i −0.277235 0.480185i
\(698\) −3.18451 + 5.51573i −0.120535 + 0.208774i
\(699\) −26.5567 + 7.16710i −1.00446 + 0.271084i
\(700\) 1.02633 1.32910i 0.0387917 0.0502353i
\(701\) 14.2250i 0.537271i −0.963242 0.268636i \(-0.913427\pi\)
0.963242 0.268636i \(-0.0865728\pi\)
\(702\) 3.88996 1.06486i 0.146817 0.0401906i
\(703\) −53.5025 + 30.8897i −2.01789 + 1.16503i
\(704\) −4.35244 + 2.51288i −0.164039 + 0.0947077i
\(705\) −26.7357 7.11226i −1.00693 0.267863i
\(706\) 29.4320i 1.10769i
\(707\) −3.89157 9.47697i −0.146357 0.356418i
\(708\) −1.65118 6.11820i −0.0620551 0.229936i
\(709\) −9.82265 + 17.0133i −0.368897 + 0.638949i −0.989393 0.145261i \(-0.953598\pi\)
0.620496 + 0.784210i \(0.286931\pi\)
\(710\) 3.71312 + 6.43131i 0.139351 + 0.241363i
\(711\) −10.2569 5.87268i −0.384664 0.220243i
\(712\) 2.72434 + 1.57290i 0.102099 + 0.0589469i
\(713\) 6.50927 0.243774
\(714\) −6.12709 8.00583i −0.229301 0.299611i
\(715\) −8.15012 −0.304797
\(716\) −1.70253 0.982958i −0.0636266 0.0367349i
\(717\) −18.7689 18.7014i −0.700937 0.698418i
\(718\) 1.04021 + 1.80170i 0.0388205 + 0.0672390i
\(719\) 21.5857 37.3875i 0.805010 1.39432i −0.111274 0.993790i \(-0.535493\pi\)
0.916284 0.400529i \(-0.131174\pi\)
\(720\) 5.41692 3.15352i 0.201877 0.117525i
\(721\) 29.3296 + 22.6483i 1.09229 + 0.843466i
\(722\) 48.0595i 1.78859i
\(723\) 9.28905 34.9185i 0.345464 1.29863i
\(724\) −6.19508 + 3.57673i −0.230238 + 0.132928i
\(725\) 5.07704 2.93123i 0.188557 0.108863i
\(726\) −6.34886 + 23.8660i −0.235628 + 0.885751i
\(727\) 14.9544i 0.554628i 0.960779 + 0.277314i \(0.0894442\pi\)
−0.960779 + 0.277314i \(0.910556\pi\)
\(728\) −2.03515 0.274269i −0.0754275 0.0101651i
\(729\) 0.291617 + 26.9984i 0.0108006 + 0.999942i
\(730\) 3.10167 5.37225i 0.114798 0.198836i
\(731\) −2.84016 4.91930i −0.105047 0.181947i
\(732\) 4.12501 + 4.11019i 0.152465 + 0.151917i
\(733\) 4.04871 + 2.33752i 0.149542 + 0.0863384i 0.572904 0.819622i \(-0.305817\pi\)
−0.423362 + 0.905961i \(0.639150\pi\)
\(734\) 35.2574 1.30138
\(735\) −0.109395 + 25.3316i −0.00403510 + 0.934369i
\(736\) −1.00000 −0.0368605
\(737\) 57.4315 + 33.1581i 2.11552 + 1.22139i
\(738\) 9.91871 17.3234i 0.365113 0.637685i
\(739\) −5.61685 9.72867i −0.206619 0.357875i 0.744028 0.668148i \(-0.232913\pi\)
−0.950647 + 0.310273i \(0.899579\pi\)
\(740\) 7.88117 13.6506i 0.289717 0.501805i
\(741\) −2.86846 10.6287i −0.105376 0.390454i
\(742\) 17.2250 + 2.32135i 0.632351 + 0.0852195i
\(743\) 38.9738i 1.42981i −0.699222 0.714904i \(-0.746470\pi\)
0.699222 0.714904i \(-0.253530\pi\)
\(744\) −10.8955 2.89842i −0.399447 0.106261i
\(745\) −14.0358 + 8.10360i −0.514233 + 0.296893i
\(746\) −4.10778 + 2.37163i −0.150396 + 0.0868314i
\(747\) 0.182847 + 50.7866i 0.00669002 + 1.85818i
\(748\) 11.0564i 0.404261i
\(749\) −22.9282 17.7052i −0.837780 0.646933i
\(750\) −19.6867 + 5.31302i −0.718855 + 0.194004i
\(751\) 13.5751 23.5127i 0.495362 0.857991i −0.504624 0.863339i \(-0.668369\pi\)
0.999986 + 0.00534780i \(0.00170227\pi\)
\(752\) −3.82245 6.62068i −0.139390 0.241431i
\(753\) −23.5619 + 23.6469i −0.858644 + 0.861741i
\(754\) −6.20870 3.58459i −0.226107 0.130543i
\(755\) 30.8231 1.12177
\(756\) 5.23128 12.7135i 0.190260 0.462386i
\(757\) 44.1850 1.60593 0.802966 0.596025i \(-0.203254\pi\)
0.802966 + 0.596025i \(0.203254\pi\)
\(758\) −29.2604 16.8935i −1.06279 0.613600i
\(759\) −6.14418 + 6.16635i −0.223020 + 0.223824i
\(760\) −8.55476 14.8173i −0.310314 0.537479i
\(761\) −0.198087 + 0.343097i −0.00718065 + 0.0124373i −0.869593 0.493768i \(-0.835619\pi\)
0.862413 + 0.506206i \(0.168952\pi\)
\(762\) −21.9605 + 5.92669i −0.795545 + 0.214701i
\(763\) 15.7509 + 38.3574i 0.570219 + 1.38863i
\(764\) 3.93279i 0.142283i
\(765\) 0.0496450 + 13.7891i 0.00179492 + 0.498547i
\(766\) −14.0377 + 8.10467i −0.507203 + 0.292834i
\(767\) 2.45932 1.41989i 0.0888009 0.0512692i
\(768\) 1.67384 + 0.445275i 0.0603994 + 0.0160675i
\(769\) 30.5347i 1.10111i −0.834799 0.550554i \(-0.814416\pi\)
0.834799 0.550554i \(-0.185584\pi\)
\(770\) −16.9798 + 21.9888i −0.611908