Properties

Label 966.2.l.d.47.3
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 47.3
Character \(\chi\) \(=\) 966.47
Dual form 966.2.l.d.185.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.67384 + 0.445275i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.04467 + 1.80941i) q^{5} +(1.67222 + 0.451299i) q^{6} +(-2.62205 - 0.353363i) q^{7} -1.00000i q^{8} +(2.60346 - 1.49064i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.67384 + 0.445275i) 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} +(2.60346 - 1.49064i) q^{9} +(1.80941 - 1.04467i) q^{10} +(-4.35244 + 2.51288i) q^{11} +(-1.22254 - 1.22695i) 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} +(-2.99998 - 0.0108008i) q^{18} +(-7.09187 - 4.09449i) q^{19} -2.08933 q^{20} +(4.54622 - 0.576061i) q^{21} +5.02576 q^{22} +(-0.866025 - 0.500000i) q^{23} +(0.445275 + 1.67384i) 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} +(-2.56350 + 2.55429i) q^{30} +(5.63719 - 3.25463i) q^{31} +(0.866025 - 0.500000i) q^{32} +(6.16635 - 6.14418i) 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} +(0.345608 + 1.29918i) q^{39} +(1.80941 + 1.04467i) q^{40} -6.65401 q^{41} +(-4.22518 - 1.77423i) q^{42} +2.58203 q^{43} +(-4.35244 - 2.51288i) q^{44} +(-0.0225665 + 6.26795i) 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} +(-2.68951 - 2.69921i) q^{51} +(0.672180 - 0.388083i) q^{52} +(5.68919 - 3.28466i) q^{53} +(5.02629 - 1.31774i) 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} +(3.49720 - 0.930328i) q^{60} +(-2.91159 - 1.68101i) q^{61} -6.50927 q^{62} +(-7.35313 + 2.98855i) q^{63} -1.00000 q^{64} +(1.40441 + 0.810834i) q^{65} +(-8.41230 + 2.23785i) 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} +(-1.49064 - 2.60346i) q^{72} +(2.57128 - 1.48453i) q^{73} +(-6.53347 + 3.77210i) q^{74} +(-0.775939 - 0.778738i) 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} +(4.55601 - 7.76162i) q^{81} +(5.76254 + 3.32700i) q^{82} +16.9290 q^{83} +(2.77200 + 3.64912i) q^{84} -4.59640 q^{85} +(-2.23611 - 1.29102i) q^{86} +(-4.11286 - 15.4607i) 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} +(-7.98653 + 7.95783i) q^{93} +(-6.62068 + 3.82245i) q^{94} +(14.8173 - 8.55476i) q^{95} +(-1.22695 + 1.22254i) 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
\(3\) −1.67384 + 0.445275i −0.966390 + 0.257080i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.04467 + 1.80941i −0.467189 + 0.809194i −0.999297 0.0374816i \(-0.988066\pi\)
0.532109 + 0.846676i \(0.321400\pi\)
\(6\) 1.67222 + 0.451299i 0.682682 + 0.184242i
\(7\) −2.62205 0.353363i −0.991041 0.133559i
\(8\) 1.00000i 0.353553i
\(9\) 2.60346 1.49064i 0.867820 0.496879i
\(10\) 1.80941 1.04467i 0.572187 0.330352i
\(11\) −4.35244 + 2.51288i −1.31231 + 0.757662i −0.982478 0.186378i \(-0.940325\pi\)
−0.329831 + 0.944040i \(0.606992\pi\)
\(12\) −1.22254 1.22695i −0.352916 0.354189i
\(13\) 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 0.968029 0.250838i \(-0.0807063\pi\)
−0.701247 + 0.712918i \(0.747373\pi\)
\(18\) −2.99998 0.0108008i −0.707102 0.00254578i
\(19\) −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
\(21\) 4.54622 0.576061i 0.992067 0.125707i
\(22\) 5.02576 1.07150
\(23\) −0.866025 0.500000i −0.180579 0.104257i
\(24\) 0.445275 + 1.67384i 0.0908914 + 0.341671i
\(25\) 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 \(0.328047\pi\)
−0.514313 + 0.857603i \(0.671953\pi\)
\(30\) −2.56350 + 2.55429i −0.468029 + 0.466347i
\(31\) 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
\(33\) 6.16635 6.14418i 1.07342 1.06957i
\(34\) 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
\(39\) 0.345608 + 1.29918i 0.0553415 + 0.208035i
\(40\) 1.80941 + 1.04467i 0.286093 + 0.165176i
\(41\) −6.65401 −1.03918 −0.519591 0.854415i \(-0.673916\pi\)
−0.519591 + 0.854415i \(0.673916\pi\)
\(42\) −4.22518 1.77423i −0.651959 0.273769i
\(43\) 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
\(45\) −0.0225665 + 6.26795i −0.00336402 + 0.934371i
\(46\) 0.500000 + 0.866025i 0.0737210 + 0.127688i
\(47\) 3.82245 6.62068i 0.557562 0.965725i −0.440138 0.897930i \(-0.645070\pi\)
0.997699 0.0677948i \(-0.0215963\pi\)
\(48\) 0.451299 1.67222i 0.0651394 0.241365i
\(49\) 6.75027 + 1.85307i 0.964324 + 0.264724i
\(50\) 0.634695i 0.0897594i
\(51\) −2.68951 2.69921i −0.376607 0.377965i
\(52\) 0.672180 0.388083i 0.0932146 0.0538174i
\(53\) 5.68919 3.28466i 0.781470 0.451182i −0.0554808 0.998460i \(-0.517669\pi\)
0.836951 + 0.547278i \(0.184336\pi\)
\(54\) 5.02629 1.31774i 0.683991 0.179321i
\(55\) 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 0.722024 0.691868i \(-0.243212\pi\)
−0.960187 + 0.279358i \(0.909878\pi\)
\(60\) 3.49720 0.930328i 0.451487 0.120105i
\(61\) −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
\(63\) −7.35313 + 2.98855i −0.926408 + 0.376522i
\(64\) −1.00000 −0.125000
\(65\) 1.40441 + 0.810834i 0.174195 + 0.100572i
\(66\) −8.41230 + 2.23785i −1.03548 + 0.275460i
\(67\) 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 \(-0.932357\pi\)
0.977505 0.210912i \(-0.0676435\pi\)
\(72\) −1.49064 2.60346i −0.175673 0.306821i
\(73\) 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
\(75\) −0.775939 0.778738i −0.0895977 0.0899209i
\(76\) 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
\(81\) 4.55601 7.76162i 0.506223 0.862403i
\(82\) 5.76254 + 3.32700i 0.636366 + 0.367406i
\(83\) 16.9290 1.85820 0.929098 0.369833i \(-0.120585\pi\)
0.929098 + 0.369833i \(0.120585\pi\)
\(84\) 2.77200 + 3.64912i 0.302449 + 0.398151i
\(85\) −4.59640 −0.498550
\(86\) −2.23611 1.29102i −0.241126 0.139214i
\(87\) −4.11286 15.4607i −0.440945 1.65756i
\(88\) 2.51288 + 4.35244i 0.267874 + 0.463971i
\(89\) −1.57290 + 2.72434i −0.166727 + 0.288780i −0.937267 0.348612i \(-0.886653\pi\)
0.770540 + 0.637391i \(0.219987\pi\)
\(90\) 3.15352 5.41692i 0.332410 0.570994i
\(91\) −0.274269 + 2.03515i −0.0287512 + 0.213341i
\(92\) 1.00000i 0.104257i
\(93\) −7.98653 + 7.95783i −0.828165 + 0.825188i
\(94\) −6.62068 + 3.82245i −0.682871 + 0.394256i
\(95\) 14.8173 8.55476i 1.52022 0.877699i
\(96\) −1.22695 + 1.22254i −0.125225 + 0.124775i
\(97\) 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 0.753478 0.657473i \(-0.228375\pi\)
−0.946127 + 0.323795i \(0.895041\pi\)
\(102\) 0.979579 + 3.68234i 0.0969928 + 0.364606i
\(103\) −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
\(105\) −3.70695 + 8.82779i −0.361761 + 0.861504i
\(106\) −6.56931 −0.638068
\(107\) −9.48218 5.47454i −0.916677 0.529244i −0.0341038 0.999418i \(-0.510858\pi\)
−0.882574 + 0.470174i \(0.844191\pi\)
\(108\) −5.01176 1.37195i −0.482257 0.132016i
\(109\) −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 \(0.0757901\pi\)
−0.971787 + 0.235858i \(0.924210\pi\)
\(114\) −10.0114 10.0475i −0.937649 0.941031i
\(115\) 1.80941 1.04467i 0.168729 0.0974156i
\(116\) −7.99919 + 4.61833i −0.742706 + 0.428801i
\(117\) −1.15698 2.02072i −0.106963 0.186815i
\(118\) 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
\(123\) 11.1377 2.96287i 1.00425 0.267153i
\(124\) 5.63719 + 3.25463i 0.506235 + 0.292275i
\(125\) −11.7727 −1.05299
\(126\) 7.86228 + 1.08840i 0.700427 + 0.0969626i
\(127\) 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
\(129\) −4.32190 + 1.14972i −0.380522 + 0.101227i
\(130\) −0.810834 1.40441i −0.0711149 0.123175i
\(131\) −3.33134 + 5.77005i −0.291060 + 0.504132i −0.974061 0.226287i \(-0.927341\pi\)
0.683000 + 0.730418i \(0.260675\pi\)
\(132\) 8.40419 + 2.26812i 0.731491 + 0.197414i
\(133\) 17.1484 + 13.2420i 1.48695 + 1.14822i
\(134\) 13.1953i 1.13990i
\(135\) −2.75319 10.5016i −0.236957 0.903832i
\(136\) 1.90520 1.09997i 0.163370 0.0943217i
\(137\) 7.97240 4.60287i 0.681128 0.393250i −0.119152 0.992876i \(-0.538018\pi\)
0.800280 + 0.599626i \(0.204684\pi\)
\(138\) −1.22254 1.22695i −0.104069 0.104445i
\(139\) 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
\(144\) −0.0108008 + 2.99998i −0.000900069 + 0.249998i
\(145\) −16.7129 9.64922i −1.38793 0.801324i
\(146\) −2.96905 −0.245721
\(147\) −12.1240 0.0960092i −0.999969 0.00791870i
\(148\) 7.54420 0.620129
\(149\) 6.71786 + 3.87856i 0.550349 + 0.317744i 0.749263 0.662273i \(-0.230408\pi\)
−0.198914 + 0.980017i \(0.563741\pi\)
\(150\) 0.282614 + 1.06238i 0.0230753 + 0.0867426i
\(151\) 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
\(156\) −0.952315 + 0.948893i −0.0762462 + 0.0759722i
\(157\) −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
\(159\) −8.06020 + 8.03123i −0.639215 + 0.636918i
\(160\) 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
\(165\) 4.67560 + 17.5761i 0.363995 + 1.36830i
\(166\) −14.6609 8.46449i −1.13791 0.656972i
\(167\) 13.3108 1.03002 0.515009 0.857185i \(-0.327789\pi\)
0.515009 + 0.857185i \(0.327789\pi\)
\(168\) −0.576061 4.54622i −0.0444441 0.350749i
\(169\) 12.3976 0.953659
\(170\) 3.98060 + 2.29820i 0.305298 + 0.176264i
\(171\) −24.5668 0.0884479i −1.87867 0.00676378i
\(172\) 1.29102 + 2.23611i 0.0984391 + 0.170501i
\(173\) 0.750518 1.29994i 0.0570608 0.0988323i −0.836084 0.548601i \(-0.815160\pi\)
0.893145 + 0.449769i \(0.148494\pi\)
\(174\) −4.16849 + 15.4458i −0.316013 + 1.17094i
\(175\) −0.637870 1.55338i −0.0482184 0.117424i
\(176\) 5.02576i 0.378831i
\(177\) 4.47293 + 4.48906i 0.336206 + 0.337419i
\(178\) 2.72434 1.57290i 0.204198 0.117894i
\(179\) 1.70253 0.982958i 0.127253 0.0734697i −0.435022 0.900420i \(-0.643259\pi\)
0.562275 + 0.826950i \(0.309926\pi\)
\(180\) −5.43949 + 3.11443i −0.405436 + 0.232136i
\(181\) 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
\(186\) 10.8955 2.89842i 0.798893 0.212522i
\(187\) −9.57510 5.52819i −0.700201 0.404261i
\(188\) 7.64490 0.557562
\(189\) 10.9772 8.27652i 0.798475 0.602028i
\(190\) −17.1095 −1.24125
\(191\) 3.40589 + 1.96639i 0.246442 + 0.142283i 0.618134 0.786073i \(-0.287889\pi\)
−0.371692 + 0.928356i \(0.621222\pi\)
\(192\) 1.67384 0.445275i 0.120799 0.0321350i
\(193\) −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 \(0.131737\pi\)
−0.915573 + 0.402151i \(0.868263\pi\)
\(198\) 13.0844 7.49158i 0.929865 0.532404i
\(199\) −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
\(201\) −16.1317 16.1899i −1.13784 1.14195i
\(202\) 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
\(207\) −2.99998 0.0108008i −0.208513 0.000750709i
\(208\) 0.672180 + 0.388083i 0.0466073 + 0.0269087i
\(209\) 41.1559 2.84681
\(210\) 7.62421 5.79162i 0.526120 0.399660i
\(211\) −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
\(213\) 1.58267 + 5.94942i 0.108443 + 0.407647i
\(214\) 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
\(219\) −3.64287 + 3.62978i −0.246163 + 0.245278i
\(220\) 9.09368 5.25024i 0.613096 0.353971i
\(221\) 1.47876 0.853760i 0.0994719 0.0574301i
\(222\) 9.25634 9.22307i 0.621245 0.619012i
\(223\) 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 0.810019 0.586403i \(-0.199457\pi\)
−0.912850 + 0.408296i \(0.866123\pi\)
\(228\) 3.64635 + 13.7070i 0.241486 + 0.907770i
\(229\) 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
\(231\) −18.3396 + 13.9314i −1.20666 + 0.916618i
\(232\) 9.23666 0.606417
\(233\) −13.7534 7.94052i −0.901015 0.520201i −0.0234854 0.999724i \(-0.507476\pi\)
−0.877529 + 0.479523i \(0.840810\pi\)
\(234\) −0.00838324 + 2.32848i −0.000548029 + 0.152218i
\(235\) 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 \(-0.835260\pi\)
0.869037 0.494748i \(-0.164740\pi\)
\(240\) 2.55429 + 2.56350i 0.164879 + 0.165473i
\(241\) −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
\(243\) −4.16995 + 15.0204i −0.267502 + 0.963557i
\(244\) 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
\(249\) −28.3363 + 7.53805i −1.79574 + 0.477705i
\(250\) 10.1955 + 5.88637i 0.644820 + 0.372287i
\(251\) −19.2730 −1.21650 −0.608249 0.793746i \(-0.708128\pi\)
−0.608249 + 0.793746i \(0.708128\pi\)
\(252\) −6.26473 4.87372i −0.394641 0.307016i
\(253\) 5.02576 0.315967
\(254\) −11.3731 6.56626i −0.713611 0.412004i
\(255\) 7.69363 2.04667i 0.481794 0.128167i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 9.85541 17.0701i 0.614763 1.06480i −0.375662 0.926757i \(-0.622585\pi\)
0.990426 0.138045i \(-0.0440819\pi\)
\(258\) 4.31773 + 1.16527i 0.268810 + 0.0725464i
\(259\) −12.1993 + 15.7981i −0.758029 + 0.981649i
\(260\) 1.62167i 0.100572i
\(261\) 13.7685 + 24.0473i 0.852249 + 1.48849i
\(262\) 5.77005 3.33134i 0.356475 0.205811i
\(263\) −19.1716 + 11.0687i −1.18217 + 0.682528i −0.956516 0.291679i \(-0.905786\pi\)
−0.225657 + 0.974207i \(0.572453\pi\)
\(264\) −6.14418 6.16635i −0.378148 0.379512i
\(265\) 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 0.762645 0.646817i \(-0.223900\pi\)
−0.941483 + 0.337062i \(0.890567\pi\)
\(270\) −2.86646 + 10.4712i −0.174447 + 0.637259i
\(271\) 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
\(273\) −0.447119 3.52863i −0.0270609 0.213562i
\(274\) −9.20574 −0.556139
\(275\) −2.76247 1.59491i −0.166583 0.0961769i
\(276\) 0.445275 + 1.67384i 0.0268024 + 0.100753i
\(277\) 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 \(-0.757415\pi\)
0.723385 0.690445i \(-0.242585\pi\)
\(282\) 9.37989 9.34618i 0.558564 0.556557i
\(283\) 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
\(285\) −20.9925 + 20.9170i −1.24349 + 1.23902i
\(286\) 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
\(291\) 6.97427 + 26.2170i 0.408839 + 1.53687i
\(292\) 2.57128 + 1.48453i 0.150473 + 0.0868753i
\(293\) −24.6678 −1.44111 −0.720554 0.693399i \(-0.756112\pi\)
−0.720554 + 0.693399i \(0.756112\pi\)
\(294\) 10.4517 + 6.14513i 0.609554 + 0.358392i
\(295\) 7.64429 0.445068
\(296\) −6.53347 3.77210i −0.379750 0.219249i
\(297\) 6.89509 25.1879i 0.400094 1.46155i
\(298\) −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
\(303\) 4.73391 + 4.75098i 0.271956 + 0.272937i
\(304\) 7.09187 4.09449i 0.406747 0.234835i
\(305\) 6.08327 3.51218i 0.348327 0.201107i
\(306\) −3.27931 5.72746i −0.187466 0.327417i
\(307\) 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 0.909258 0.416234i \(-0.136650\pi\)
−0.815098 + 0.579323i \(0.803317\pi\)
\(312\) 1.29918 0.345608i 0.0735513 0.0195662i
\(313\) 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
\(315\) 2.27403 16.4269i 0.128127 0.925551i
\(316\) 3.93972 0.221626
\(317\) −21.4200 12.3669i −1.20307 0.694592i −0.241833 0.970318i \(-0.577749\pi\)
−0.961236 + 0.275726i \(0.911082\pi\)
\(318\) 10.9960 2.92515i 0.616623 0.164034i
\(319\) −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
\(324\) 8.99977 + 0.0648045i 0.499987 + 0.00360025i
\(325\) 0.426629 0.246314i 0.0236651 0.0136631i
\(326\) 0.655451 0.378425i 0.0363021 0.0209590i
\(327\) 19.1602 + 19.2293i 1.05956 + 1.06338i
\(328\) 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
\(333\) 0.0814836 22.6325i 0.00446527 1.24025i
\(334\) −11.5275 6.65538i −0.630755 0.364166i
\(335\) −27.5692 −1.50627
\(336\) −1.77423 + 4.22518i −0.0967921 + 0.230502i
\(337\) 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
\(339\) −2.23279 8.39331i −0.121269 0.455862i
\(340\) −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
\(345\) −2.56350 + 2.55429i −0.138014 + 0.137518i
\(346\) −1.29994 + 0.750518i −0.0698850 + 0.0403481i
\(347\) 22.9738 13.2639i 1.23330 0.712045i 0.265582 0.964088i \(-0.414436\pi\)
0.967716 + 0.252043i \(0.0811025\pi\)
\(348\) 11.3329 11.2922i 0.607507 0.605324i
\(349\) 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 \(-0.880225\pi\)
0.146784 0.989169i \(-0.453108\pi\)
\(354\) −1.62914 6.12411i −0.0865878 0.325493i
\(355\) 6.43131 + 3.71312i 0.341338 + 0.197072i
\(356\) −3.14580 −0.166727
\(357\) 6.09823 + 8.02784i 0.322752 + 0.424878i
\(358\) −1.96592 −0.103902
\(359\) −1.80170 1.04021i −0.0950903 0.0549004i 0.451701 0.892170i \(-0.350817\pi\)
−0.546791 + 0.837269i \(0.684151\pi\)
\(360\) 6.26795 + 0.0225665i 0.330350 + 0.00118936i
\(361\) 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
\(366\) −4.11019 4.12501i −0.214843 0.215618i
\(367\) 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
\(369\) −17.3234 + 9.91871i −0.901822 + 0.516347i
\(370\) 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
\(375\) 19.7057 5.24211i 1.01760 0.270702i
\(376\) −6.62068 3.82245i −0.341435 0.197128i
\(377\) 7.16919 0.369232
\(378\) −13.6448 + 1.67907i −0.701813 + 0.0863620i
\(379\) −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
\(381\) −21.9817 + 5.84759i −1.12616 + 0.299581i
\(382\) −1.96639 3.40589i −0.100609 0.174261i
\(383\) 8.10467 14.0377i 0.414129 0.717293i −0.581207 0.813755i \(-0.697419\pi\)
0.995337 + 0.0964626i \(0.0307528\pi\)
\(384\) −1.67222 0.451299i −0.0853353 0.0230302i
\(385\) −3.71048 + 27.5328i −0.189104 + 1.40320i
\(386\) 0.319612i 0.0162678i
\(387\) 6.72222 3.84887i 0.341710 0.195649i
\(388\) 13.5644 7.83141i 0.688628 0.397580i
\(389\) 12.1498 7.01470i 0.616020 0.355659i −0.159298 0.987231i \(-0.550923\pi\)
0.775318 + 0.631571i \(0.217590\pi\)
\(390\) 1.98255 + 1.98970i 0.100390 + 0.100752i
\(391\) 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
\(396\) −15.0772 0.0542824i −0.757657 0.00272779i
\(397\) 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
\(399\) −34.5999 14.5291i −1.73216 0.727367i
\(400\) −0.634695 −0.0317348
\(401\) 3.47413 + 2.00579i 0.173490 + 0.100164i 0.584230 0.811588i \(-0.301397\pi\)
−0.410741 + 0.911752i \(0.634730\pi\)
\(402\) 5.87552 + 22.0867i 0.293044 + 1.10158i
\(403\) −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
\(408\) −2.69921 + 2.68951i −0.133631 + 0.133151i
\(409\) 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
\(411\) −11.2950 + 11.2544i −0.557139 + 0.555137i
\(412\) 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
\(417\) 0.626934 + 2.35671i 0.0307011 + 0.115409i
\(418\) −35.6421 20.5780i −1.74331 1.00650i
\(419\) −26.1705 −1.27851 −0.639257 0.768994i \(-0.720758\pi\)
−0.639257 + 0.768994i \(0.720758\pi\)
\(420\) −9.49857 + 1.20358i −0.463483 + 0.0587288i
\(421\) 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
\(423\) 0.0825713 22.9346i 0.00401475 1.11512i
\(424\) −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
\(429\) −4.76891 4.78611i −0.230245 0.231076i
\(430\) 4.67197 2.69736i 0.225302 0.130078i
\(431\) −7.96036 + 4.59592i −0.383437 + 0.221377i −0.679313 0.733849i \(-0.737722\pi\)
0.295876 + 0.955226i \(0.404389\pi\)
\(432\) −1.31774 5.02629i −0.0633997 0.241827i
\(433\) 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
\(438\) 4.96971 1.32205i 0.237462 0.0631698i
\(439\) −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
\(441\) 20.3363 5.23780i 0.968396 0.249419i
\(442\) −1.70752 −0.0812184
\(443\) −23.9847 13.8476i −1.13955 0.657917i −0.193228 0.981154i \(-0.561896\pi\)
−0.946318 + 0.323236i \(0.895229\pi\)
\(444\) −12.6278 + 3.35925i −0.599287 + 0.159423i
\(445\) −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 \(-0.762282\pi\)
0.733857 0.679304i \(-0.237718\pi\)
\(450\) −0.946100 1.65240i −0.0445996 0.0778950i
\(451\) 28.9611 16.7207i 1.36373 0.787348i
\(452\) −4.34261 + 2.50721i −0.204259 + 0.117929i
\(453\) −18.0356 18.1007i −0.847387 0.850444i
\(454\) 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
\(459\) −11.0256 3.01821i −0.514630 0.140878i
\(460\) 1.80941 + 1.04467i 0.0843644 + 0.0487078i
\(461\) 15.7725 0.734600 0.367300 0.930103i \(-0.380282\pi\)
0.367300 + 0.930103i \(0.380282\pi\)
\(462\) 22.8482 2.89514i 1.06300 0.134694i
\(463\) −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
\(465\) −6.05575 22.7642i −0.280829 1.05567i
\(466\) 7.94052 + 13.7534i 0.367838 + 0.637114i
\(467\) 16.1736 28.0136i 0.748427 1.29631i −0.200149 0.979765i \(-0.564143\pi\)
0.948576 0.316548i \(-0.102524\pi\)
\(468\) 1.17150 2.01233i 0.0541527 0.0930202i
\(469\) −13.2613 32.2946i −0.612348 1.49123i
\(470\) 15.9727i 0.736767i
\(471\) 13.2495 13.2019i 0.610504 0.608310i
\(472\) −3.16855 + 1.82936i −0.145844 + 0.0842032i
\(473\) −11.2381 + 6.48834i −0.516730 + 0.298334i
\(474\) 4.83383 4.81645i 0.222025 0.221227i
\(475\) 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 0.853366 0.521313i \(-0.174558\pi\)
−0.878153 + 0.478380i \(0.841224\pi\)
\(480\) −0.930328 3.49720i −0.0424635 0.159625i
\(481\) −5.07106 2.92778i −0.231220 0.133495i
\(482\) 20.8614 0.950209
\(483\) −4.22518 1.77423i −0.192252 0.0807302i
\(484\) 14.2583 0.648103
\(485\) 28.3405 + 16.3624i 1.28688 + 0.742979i
\(486\) 11.1215 10.9230i 0.504480 0.495479i
\(487\) 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 \(0.199455\pi\)
−0.810021 + 0.586400i \(0.800545\pi\)
\(492\) 8.13478 + 8.16412i 0.366744 + 0.368067i
\(493\) −17.5977 + 10.1601i −0.792562 + 0.457586i
\(494\) 5.50447 3.17801i 0.247658 0.142985i
\(495\) −15.6524 27.3376i −0.703523 1.22873i
\(496\) 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
\(501\) −22.2801 + 5.92696i −0.995399 + 0.264797i
\(502\) 16.6909 + 9.63648i 0.744950 + 0.430097i
\(503\) −22.9013 −1.02112 −0.510560 0.859842i \(-0.670562\pi\)
−0.510560 + 0.859842i \(0.670562\pi\)
\(504\) 2.98855 + 7.35313i 0.133121 + 0.327535i
\(505\) 8.09030 0.360014
\(506\) −4.35244 2.51288i −0.193489 0.111711i
\(507\) −20.7515 + 5.52033i −0.921607 + 0.245166i
\(508\) 6.56626 + 11.3731i 0.291331 + 0.504600i
\(509\) −19.0516 + 32.9984i −0.844449 + 1.46263i 0.0416498 + 0.999132i \(0.486739\pi\)
−0.886099 + 0.463496i \(0.846595\pi\)
\(510\) −7.68621 2.07435i −0.340351 0.0918538i
\(511\) −7.26658 + 2.98391i −0.321455 + 0.132000i
\(512\) 1.00000i 0.0441942i
\(513\) 41.1602 10.7909i 1.81727 0.476432i
\(514\) −17.0701 + 9.85541i −0.752928 + 0.434703i
\(515\) 25.3426 14.6316i 1.11673 0.644743i
\(516\) −3.15663 3.16802i −0.138963 0.139464i
\(517\) 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 0.575923 0.817504i \(-0.304643\pi\)
−0.995941 + 0.0900126i \(0.971309\pi\)
\(522\) 0.0997636 27.7098i 0.00436653 1.21283i
\(523\) −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
\(525\) 1.75937 + 2.31608i 0.0767853 + 0.101082i
\(526\) 22.1375 0.965240
\(527\) 12.4015 + 7.16000i 0.540217 + 0.311895i
\(528\) 2.23785 + 8.41230i 0.0973898 + 0.366099i
\(529\) 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
\(534\) −3.85973 + 3.84586i −0.167027 + 0.166427i
\(535\) 19.8114 11.4381i 0.856523 0.494514i
\(536\) 11.4274 6.59763i 0.493589 0.284974i
\(537\) −2.41208 + 2.40341i −0.104089 + 0.103715i
\(538\) 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
\(543\) −3.18526 11.9737i −0.136693 0.513842i
\(544\) 1.90520 + 1.09997i 0.0816850 + 0.0471608i
\(545\) 32.7450 1.40264
\(546\) −1.37710 + 3.27944i −0.0589343 + 0.140347i
\(547\) −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
\(549\) −10.0860 0.0363125i −0.430459 0.00154978i
\(550\) 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
\(555\) −19.2701 19.3396i −0.817968 0.820919i
\(556\) 1.21934 0.703984i 0.0517114 0.0298556i
\(557\) 21.6225 12.4838i 0.916176 0.528955i 0.0337632 0.999430i \(-0.489251\pi\)
0.882413 + 0.470475i \(0.155917\pi\)
\(558\) −16.9466 + 9.70295i −0.717408 + 0.410759i
\(559\) 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 0.775129 0.631803i \(-0.217685\pi\)
−0.934722 + 0.355380i \(0.884352\pi\)
\(564\) −12.7963 + 3.40409i −0.538822 + 0.143338i
\(565\) −9.07315 5.23839i −0.381710 0.220381i
\(566\) −31.7537 −1.33471
\(567\) −14.6887 + 18.7414i −0.616869 + 0.787066i
\(568\) −3.55436 −0.149138
\(569\) −23.5803 13.6141i −0.988539 0.570733i −0.0837016 0.996491i \(-0.526674\pi\)
−0.904837 + 0.425758i \(0.860008\pi\)
\(570\) 28.6385 7.61844i 1.19954 0.319101i
\(571\) 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
\(576\) −2.60346 + 1.49064i −0.108477 + 0.0621099i
\(577\) 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
\(579\) 0.390738 + 0.392147i 0.0162385 + 0.0162971i
\(580\) 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
\(585\) 4.86497 + 0.0175154i 0.201142 + 0.000724171i
\(586\) 21.3629 + 12.3339i 0.882495 + 0.509509i
\(587\) 10.2166 0.421686 0.210843 0.977520i \(-0.432379\pi\)
0.210843 + 0.977520i \(0.432379\pi\)
\(588\) −5.97884 10.5477i −0.246563 0.434979i
\(589\) −53.3043 −2.19637
\(590\) −6.62015 3.82214i −0.272547 0.157355i
\(591\) −5.02667 18.8958i −0.206770 0.777269i
\(592\) 3.77210 + 6.53347i 0.155032 + 0.268524i
\(593\) 2.18233 3.77991i 0.0896177 0.155222i −0.817732 0.575599i \(-0.804769\pi\)
0.907350 + 0.420377i \(0.138102\pi\)
\(594\) −18.5653 + 18.3658i −0.761743 + 0.753559i
\(595\) 12.0520 + 1.62420i 0.494084 + 0.0665857i
\(596\) 7.75712i 0.317744i
\(597\) 27.1462 27.0486i 1.11102 1.10703i
\(598\) 0.672180 0.388083i 0.0274875 0.0158699i
\(599\) 33.5531 19.3719i 1.37094 0.791515i 0.379897 0.925029i \(-0.375959\pi\)
0.991047 + 0.133514i \(0.0426260\pi\)
\(600\) −0.778738 + 0.775939i −0.0317918 + 0.0316776i
\(601\) 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
\(606\) −1.72419 6.48142i −0.0700406 0.263290i
\(607\) 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
\(609\) 5.32088 + 41.9919i 0.215613 + 1.70160i
\(610\) −7.02436 −0.284408
\(611\) −5.13875 2.96686i −0.207891 0.120026i
\(612\) −0.0237612 + 6.59978i −0.000960489 + 0.266780i
\(613\) −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 \(0.0922114\pi\)
−0.958332 + 0.285656i \(0.907789\pi\)
\(618\) −17.1228 17.1846i −0.688781 0.691266i
\(619\) 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
\(621\) 5.02629 1.31774i 0.201698 0.0528790i
\(622\) 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
\(627\) −68.8883 + 18.3257i −2.75113 + 0.731858i
\(628\) −9.35198 5.39937i −0.373185 0.215458i
\(629\) 16.5968 0.661758
\(630\) −10.1828 + 13.0891i −0.405693 + 0.521482i
\(631\) 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
\(633\) 25.6330 6.81892i 1.01882 0.271028i
\(634\) 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
\(639\) −5.29826 9.25363i −0.209596 0.366068i
\(640\) −1.80941 + 1.04467i −0.0715234 + 0.0412940i
\(641\) 31.7176 18.3122i 1.25277 0.723288i 0.281112 0.959675i \(-0.409297\pi\)
0.971659 + 0.236387i \(0.0759634\pi\)
\(642\) −13.3857 13.4340i −0.528290 0.530196i
\(643\) 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 \(0.0125841\pi\)
−0.465381 + 0.885111i \(0.654083\pi\)
\(648\) −7.76162 4.55601i −0.304905 0.178977i
\(649\) 15.9244 + 9.19394i 0.625086 + 0.360894i
\(650\) −0.492629 −0.0193225
\(651\) 23.7531 18.0437i 0.930956 0.707187i
\(652\) −0.756850 −0.0296405
\(653\) 27.1871 + 15.6965i 1.06391 + 0.614251i 0.926512 0.376265i \(-0.122792\pi\)
0.137401 + 0.990515i \(0.456125\pi\)
\(654\) −6.97856 26.2331i −0.272883 1.02580i
\(655\) −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 \(0.0391044\pi\)
−0.992463 + 0.122541i \(0.960896\pi\)
\(660\) −12.8835 + 12.8372i −0.501491 + 0.499689i
\(661\) 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
\(663\) −2.09504 + 2.08751i −0.0813645 + 0.0810721i
\(664\) 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
\(669\) −6.58176 24.7415i −0.254466 0.956564i
\(670\) 23.8757 + 13.7846i 0.922398 + 0.532546i
\(671\) 16.8967 0.652289
\(672\) 3.64912 2.77200i 0.140768 0.106932i
\(673\) −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
\(675\) −3.18094 0.870769i −0.122434 0.0335159i
\(676\) 6.19878 + 10.7366i 0.238415 + 0.412946i
\(677\) 2.65203 4.59346i 0.101926 0.176541i −0.810552 0.585666i \(-0.800833\pi\)
0.912478 + 0.409126i \(0.134166\pi\)
\(678\) −2.26300 + 8.38522i −0.0869099 + 0.322032i
\(679\) −5.53467 + 41.0687i −0.212401 + 1.57607i
\(680\) 4.59640i 0.176264i
\(681\) 3.78816 + 3.80182i 0.145162 + 0.145686i
\(682\) 28.3312 16.3570i 1.08486 0.626342i
\(683\) −1.11229 + 0.642181i −0.0425606 + 0.0245724i −0.521129 0.853478i \(-0.674489\pi\)
0.478569 + 0.878050i \(0.341156\pi\)
\(684\) −12.2068 21.3197i −0.466739 0.815179i
\(685\) 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
\(690\) 3.49720 0.930328i 0.133136 0.0354170i
\(691\) 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
\(693\) 24.4942 31.4850i 0.930456 1.19602i
\(694\) −26.5279 −1.00698
\(695\) 2.54760 + 1.47086i 0.0966359 + 0.0557928i
\(696\) −15.4607 + 4.11286i −0.586035 + 0.155897i
\(697\) −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 \(0.0865728\pi\)
−0.963242 + 0.268636i \(0.913427\pi\)
\(702\) −1.02278 3.90123i −0.0386025 0.147243i
\(703\) −53.5025 + 30.8897i −2.01789 + 1.16503i
\(704\) 4.35244 2.51288i 0.164039 0.0947077i
\(705\) −19.5273 19.5977i −0.735440 0.738092i
\(706\) 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
\(711\) 0.0425522 11.8191i 0.00159583 0.443250i
\(712\) 2.72434 + 1.57290i 0.102099 + 0.0589469i
\(713\) −6.50927 −0.243774
\(714\) −1.26730 10.0014i −0.0474275 0.374294i
\(715\) −8.15012 −0.304797
\(716\) 1.70253 + 0.982958i 0.0636266 + 0.0367349i
\(717\) 6.81148 + 25.6051i 0.254379 + 0.956239i
\(718\) 1.04021 + 1.80170i 0.0388205 + 0.0672390i
\(719\) −21.5857 + 37.3875i −0.805010 + 1.39432i 0.111274 + 0.993790i \(0.464507\pi\)
−0.916284 + 0.400529i \(0.868826\pi\)
\(720\) −5.41692 3.15352i −0.201877 0.117525i
\(721\) 29.3296 + 22.6483i 1.09229 + 0.843466i
\(722\) 48.0595i 1.78859i
\(723\) 25.5958 25.5038i 0.951918 0.948497i
\(724\) −6.19508 + 3.57673i −0.230238 + 0.132928i
\(725\) −5.07704 + 2.93123i −0.188557 + 0.108863i
\(726\) 17.4942 17.4313i 0.649269 0.646936i
\(727\) 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
\(732\) 1.49702 + 5.62746i 0.0553315 + 0.207997i
\(733\) 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
\(735\) 12.8392 21.8370i 0.473582 0.805470i
\(736\) −1.00000 −0.0368605
\(737\) −57.4315 33.1581i −2.11552 1.22139i
\(738\) 19.9619 + 0.0718688i 0.734807 + 0.00264553i
\(739\) −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 \(0.253530\pi\)
−0.699222 + 0.714904i \(0.746470\pi\)
\(744\) 7.95783 + 7.98653i 0.291748 + 0.292800i
\(745\) −14.0358 + 8.10360i −0.514233 + 0.296893i
\(746\) 4.10778 2.37163i 0.150396 0.0868314i
\(747\) 44.0739 25.2349i 1.61258 0.923298i
\(748\) 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
\(753\) 32.2598 8.58177i 1.17561 0.312737i
\(754\) −6.20870 3.58459i −0.226107 0.130543i
\(755\) −30.8231 −1.12177
\(756\) 12.6563 + 5.36829i 0.460305 + 0.195243i
\(757\) 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
\(759\) −8.41230 + 2.23785i −0.305347 + 0.0812287i
\(760\) −8.55476 14.8173i −0.310314 0.537479i
\(761\) 0.198087 0.343097i 0.00718065 0.0124373i −0.862413 0.506206i \(-0.831048\pi\)
0.869593 + 0.493768i \(0.164381\pi\)
\(762\) 21.9605 + 5.92669i 0.795545 + 0.214701i
\(763\) 15.7509 + 38.3574i 0.570219 + 1.38863i
\(764\) 3.93279i 0.142283i
\(765\) −11.9666 + 6.85157i −0.432652 + 0.247719i
\(766\) −14.0377 + 8.10467i −0.507203 + 0.292834i
\(767\) −2.45932 + 1.41989i −0.0888009 + 0.0512692i
\(768\) 1.22254 + 1.22695i 0.0441145 + 0.0442737i
\(769\) 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 0.792422i