Properties

Label 966.2.l.d.47.6
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 47.6
Character \(\chi\) \(=\) 966.47
Dual form 966.2.l.d.185.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.778308 - 1.54733i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.34998 + 2.33823i) q^{5} +(-0.0996314 + 1.72918i) q^{6} +(-2.25095 + 1.39041i) q^{7} -1.00000i q^{8} +(-1.78847 + 2.40860i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.778308 - 1.54733i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.34998 + 2.33823i) q^{5} +(-0.0996314 + 1.72918i) q^{6} +(-2.25095 + 1.39041i) q^{7} -1.00000i q^{8} +(-1.78847 + 2.40860i) q^{9} +(2.33823 - 1.34998i) q^{10} +(-1.91644 + 1.10646i) q^{11} +(0.950875 - 1.44770i) q^{12} +1.43276i q^{13} +(2.64458 - 0.0786570i) q^{14} +(4.66872 + 0.269000i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-2.99316 - 5.18431i) q^{17} +(2.75316 - 1.19167i) q^{18} +(1.51456 + 0.874433i) q^{19} -2.69996 q^{20} +(3.90336 + 2.40079i) q^{21} +2.21292 q^{22} +(-0.866025 - 0.500000i) q^{23} +(-1.54733 + 0.778308i) q^{24} +(-1.14488 - 1.98299i) q^{25} +(0.716379 - 1.24080i) q^{26} +(5.11889 + 0.892727i) q^{27} +(-2.32960 - 1.25417i) q^{28} -9.35152i q^{29} +(-3.90873 - 2.56732i) q^{30} +(2.81858 - 1.62731i) q^{31} +(0.866025 - 0.500000i) q^{32} +(3.20364 + 2.10421i) q^{33} +5.98633i q^{34} +(-0.212370 - 7.14025i) q^{35} +(-2.98015 - 0.344562i) q^{36} +(5.10303 - 8.83871i) q^{37} +(-0.874433 - 1.51456i) q^{38} +(2.21695 - 1.11513i) q^{39} +(2.33823 + 1.34998i) q^{40} +9.83599 q^{41} +(-2.18001 - 4.03083i) q^{42} +3.30094 q^{43} +(-1.91644 - 1.10646i) q^{44} +(-3.21747 - 7.43342i) q^{45} +(0.500000 + 0.866025i) q^{46} +(-3.28415 + 5.68832i) q^{47} +(1.72918 + 0.0996314i) q^{48} +(3.13352 - 6.25948i) q^{49} +2.28976i q^{50} +(-5.69225 + 8.66641i) q^{51} +(-1.24080 + 0.716379i) q^{52} +(-4.64160 + 2.67983i) q^{53} +(-3.98673 - 3.33257i) q^{54} -5.97477i q^{55} +(1.39041 + 2.25095i) q^{56} +(0.174242 - 3.02411i) q^{57} +(-4.67576 + 8.09865i) q^{58} +(6.27963 + 10.8766i) q^{59} +(2.10140 + 4.17773i) q^{60} +(-3.72233 - 2.14909i) q^{61} -3.25462 q^{62} +(0.676813 - 7.90835i) q^{63} -1.00000 q^{64} +(-3.35012 - 1.93419i) q^{65} +(-1.72233 - 3.42411i) q^{66} +(-6.30018 - 10.9122i) q^{67} +(2.99316 - 5.18431i) q^{68} +(-0.0996314 + 1.72918i) q^{69} +(-3.38621 + 6.28983i) q^{70} +1.18264i q^{71} +(2.40860 + 1.78847i) q^{72} +(3.33345 - 1.92457i) q^{73} +(-8.83871 + 5.10303i) q^{74} +(-2.17728 + 3.31489i) q^{75} +1.74887i q^{76} +(2.77538 - 5.15522i) q^{77} +(-2.47750 - 0.142748i) q^{78} +(-0.400950 + 0.694466i) q^{79} +(-1.34998 - 2.33823i) q^{80} +(-2.60273 - 8.61544i) q^{81} +(-8.51822 - 4.91800i) q^{82} -5.44986 q^{83} +(-0.127471 + 4.58080i) q^{84} +16.1628 q^{85} +(-2.85870 - 1.65047i) q^{86} +(-14.4699 + 7.27836i) q^{87} +(1.10646 + 1.91644i) q^{88} +(0.279618 - 0.484312i) q^{89} +(-0.930302 + 8.04626i) q^{90} +(-1.99212 - 3.22506i) q^{91} -1.00000i q^{92} +(-4.71171 - 3.09473i) q^{93} +(5.68832 - 3.28415i) q^{94} +(-4.08925 + 2.36093i) q^{95} +(-1.44770 - 0.950875i) q^{96} -2.70663i q^{97} +(-5.84345 + 3.85411i) q^{98} +(0.762486 - 6.59481i) 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
\(3\) −0.778308 1.54733i −0.449356 0.893353i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.34998 + 2.33823i −0.603728 + 1.04569i 0.388523 + 0.921439i \(0.372986\pi\)
−0.992251 + 0.124249i \(0.960348\pi\)
\(6\) −0.0996314 + 1.72918i −0.0406744 + 0.705936i
\(7\) −2.25095 + 1.39041i −0.850778 + 0.525526i
\(8\) 1.00000i 0.353553i
\(9\) −1.78847 + 2.40860i −0.596158 + 0.802867i
\(10\) 2.33823 1.34998i 0.739413 0.426900i
\(11\) −1.91644 + 1.10646i −0.577829 + 0.333610i −0.760270 0.649607i \(-0.774933\pi\)
0.182441 + 0.983217i \(0.441600\pi\)
\(12\) 0.950875 1.44770i 0.274494 0.417915i
\(13\) 1.43276i 0.397376i 0.980063 + 0.198688i \(0.0636680\pi\)
−0.980063 + 0.198688i \(0.936332\pi\)
\(14\) 2.64458 0.0786570i 0.706794 0.0210220i
\(15\) 4.66872 + 0.269000i 1.20546 + 0.0694556i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −2.99316 5.18431i −0.725949 1.25738i −0.958582 0.284816i \(-0.908067\pi\)
0.232633 0.972565i \(-0.425266\pi\)
\(18\) 2.75316 1.19167i 0.648927 0.280880i
\(19\) 1.51456 + 0.874433i 0.347465 + 0.200609i 0.663568 0.748116i \(-0.269041\pi\)
−0.316103 + 0.948725i \(0.602375\pi\)
\(20\) −2.69996 −0.603728
\(21\) 3.90336 + 2.40079i 0.851782 + 0.523896i
\(22\) 2.21292 0.471795
\(23\) −0.866025 0.500000i −0.180579 0.104257i
\(24\) −1.54733 + 0.778308i −0.315848 + 0.158871i
\(25\) −1.14488 1.98299i −0.228976 0.396598i
\(26\) 0.716379 1.24080i 0.140493 0.243342i
\(27\) 5.11889 + 0.892727i 0.985131 + 0.171805i
\(28\) −2.32960 1.25417i −0.440254 0.237016i
\(29\) 9.35152i 1.73653i −0.496097 0.868267i \(-0.665234\pi\)
0.496097 0.868267i \(-0.334766\pi\)
\(30\) −3.90873 2.56732i −0.713633 0.468726i
\(31\) 2.81858 1.62731i 0.506232 0.292273i −0.225052 0.974347i \(-0.572255\pi\)
0.731283 + 0.682074i \(0.238922\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 3.20364 + 2.10421i 0.557682 + 0.366295i
\(34\) 5.98633i 1.02665i
\(35\) −0.212370 7.14025i −0.0358971 1.20692i
\(36\) −2.98015 0.344562i −0.496691 0.0574270i
\(37\) 5.10303 8.83871i 0.838933 1.45307i −0.0518542 0.998655i \(-0.516513\pi\)
0.890787 0.454420i \(-0.150154\pi\)
\(38\) −0.874433 1.51456i −0.141852 0.245695i
\(39\) 2.21695 1.11513i 0.354996 0.178563i
\(40\) 2.33823 + 1.34998i 0.369707 + 0.213450i
\(41\) 9.83599 1.53612 0.768062 0.640375i \(-0.221221\pi\)
0.768062 + 0.640375i \(0.221221\pi\)
\(42\) −2.18001 4.03083i −0.336383 0.621970i
\(43\) 3.30094 0.503389 0.251694 0.967807i \(-0.419012\pi\)
0.251694 + 0.967807i \(0.419012\pi\)
\(44\) −1.91644 1.10646i −0.288914 0.166805i
\(45\) −3.21747 7.43342i −0.479632 1.10811i
\(46\) 0.500000 + 0.866025i 0.0737210 + 0.127688i
\(47\) −3.28415 + 5.68832i −0.479043 + 0.829726i −0.999711 0.0240327i \(-0.992349\pi\)
0.520668 + 0.853759i \(0.325683\pi\)
\(48\) 1.72918 + 0.0996314i 0.249586 + 0.0143806i
\(49\) 3.13352 6.25948i 0.447646 0.894211i
\(50\) 2.28976i 0.323821i
\(51\) −5.69225 + 8.66641i −0.797074 + 1.21354i
\(52\) −1.24080 + 0.716379i −0.172069 + 0.0993439i
\(53\) −4.64160 + 2.67983i −0.637573 + 0.368103i −0.783679 0.621166i \(-0.786659\pi\)
0.146106 + 0.989269i \(0.453326\pi\)
\(54\) −3.98673 3.33257i −0.542525 0.453505i
\(55\) 5.97477i 0.805638i
\(56\) 1.39041 + 2.25095i 0.185801 + 0.300795i
\(57\) 0.174242 3.02411i 0.0230789 0.400553i
\(58\) −4.67576 + 8.09865i −0.613957 + 1.06341i
\(59\) 6.27963 + 10.8766i 0.817539 + 1.41602i 0.907491 + 0.420073i \(0.137995\pi\)
−0.0899518 + 0.995946i \(0.528671\pi\)
\(60\) 2.10140 + 4.17773i 0.271289 + 0.539342i
\(61\) −3.72233 2.14909i −0.476595 0.275162i 0.242401 0.970176i \(-0.422065\pi\)
−0.718996 + 0.695014i \(0.755398\pi\)
\(62\) −3.25462 −0.413337
\(63\) 0.676813 7.90835i 0.0852704 0.996358i
\(64\) −1.00000 −0.125000
\(65\) −3.35012 1.93419i −0.415531 0.239907i
\(66\) −1.72233 3.42411i −0.212004 0.421479i
\(67\) −6.30018 10.9122i −0.769690 1.33314i −0.937731 0.347361i \(-0.887078\pi\)
0.168042 0.985780i \(-0.446256\pi\)
\(68\) 2.99316 5.18431i 0.362975 0.628690i
\(69\) −0.0996314 + 1.72918i −0.0119942 + 0.208169i
\(70\) −3.38621 + 6.28983i −0.404729 + 0.751778i
\(71\) 1.18264i 0.140353i 0.997535 + 0.0701765i \(0.0223562\pi\)
−0.997535 + 0.0701765i \(0.977644\pi\)
\(72\) 2.40860 + 1.78847i 0.283856 + 0.210774i
\(73\) 3.33345 1.92457i 0.390151 0.225254i −0.292075 0.956395i \(-0.594346\pi\)
0.682225 + 0.731142i \(0.261012\pi\)
\(74\) −8.83871 + 5.10303i −1.02748 + 0.593215i
\(75\) −2.17728 + 3.31489i −0.251410 + 0.382770i
\(76\) 1.74887i 0.200609i
\(77\) 2.77538 5.15522i 0.316284 0.587491i
\(78\) −2.47750 0.142748i −0.280522 0.0161630i
\(79\) −0.400950 + 0.694466i −0.0451104 + 0.0781335i −0.887699 0.460424i \(-0.847697\pi\)
0.842589 + 0.538558i \(0.181031\pi\)
\(80\) −1.34998 2.33823i −0.150932 0.261422i
\(81\) −2.60273 8.61544i −0.289192 0.957271i
\(82\) −8.51822 4.91800i −0.940680 0.543102i
\(83\) −5.44986 −0.598200 −0.299100 0.954222i \(-0.596686\pi\)
−0.299100 + 0.954222i \(0.596686\pi\)
\(84\) −0.127471 + 4.58080i −0.0139082 + 0.499807i
\(85\) 16.1628 1.75310
\(86\) −2.85870 1.65047i −0.308261 0.177975i
\(87\) −14.4699 + 7.27836i −1.55134 + 0.780323i
\(88\) 1.10646 + 1.91644i 0.117949 + 0.204293i
\(89\) 0.279618 0.484312i 0.0296394 0.0513370i −0.850825 0.525449i \(-0.823897\pi\)
0.880465 + 0.474112i \(0.157231\pi\)
\(90\) −0.930302 + 8.04626i −0.0980624 + 0.848151i
\(91\) −1.99212 3.22506i −0.208831 0.338078i
\(92\) 1.00000i 0.104257i
\(93\) −4.71171 3.09473i −0.488581 0.320909i
\(94\) 5.68832 3.28415i 0.586705 0.338734i
\(95\) −4.08925 + 2.36093i −0.419548 + 0.242226i
\(96\) −1.44770 0.950875i −0.147755 0.0970483i
\(97\) 2.70663i 0.274817i −0.990514 0.137409i \(-0.956123\pi\)
0.990514 0.137409i \(-0.0438773\pi\)
\(98\) −5.84345 + 3.85411i −0.590277 + 0.389323i
\(99\) 0.762486 6.59481i 0.0766328 0.662804i
\(100\) 1.14488 1.98299i 0.114488 0.198299i
\(101\) 1.10312 + 1.91066i 0.109764 + 0.190117i 0.915675 0.401920i \(-0.131657\pi\)
−0.805910 + 0.592038i \(0.798324\pi\)
\(102\) 9.26284 4.65921i 0.917158 0.461330i
\(103\) −10.8680 6.27464i −1.07086 0.618259i −0.142440 0.989803i \(-0.545495\pi\)
−0.928415 + 0.371545i \(0.878828\pi\)
\(104\) 1.43276 0.140493
\(105\) −10.8831 + 5.88592i −1.06208 + 0.574407i
\(106\) 5.35966 0.520576
\(107\) 16.3344 + 9.43070i 1.57911 + 0.911700i 0.994984 + 0.100038i \(0.0318963\pi\)
0.584127 + 0.811662i \(0.301437\pi\)
\(108\) 1.78632 + 4.87945i 0.171889 + 0.469526i
\(109\) 1.44820 + 2.50835i 0.138712 + 0.240256i 0.927009 0.375038i \(-0.122370\pi\)
−0.788297 + 0.615294i \(0.789037\pi\)
\(110\) −2.98739 + 5.17431i −0.284836 + 0.493351i
\(111\) −17.6482 1.01684i −1.67509 0.0965146i
\(112\) −0.0786570 2.64458i −0.00743239 0.249889i
\(113\) 20.6749i 1.94493i −0.233047 0.972466i \(-0.574870\pi\)
0.233047 0.972466i \(-0.425130\pi\)
\(114\) −1.66295 + 2.53184i −0.155750 + 0.237128i
\(115\) 2.33823 1.34998i 0.218041 0.125886i
\(116\) 8.09865 4.67576i 0.751941 0.434133i
\(117\) −3.45094 2.56245i −0.319040 0.236898i
\(118\) 12.5593i 1.15617i
\(119\) 13.9458 + 7.50789i 1.27841 + 0.688247i
\(120\) 0.269000 4.66872i 0.0245563 0.426194i
\(121\) −3.05150 + 5.28536i −0.277409 + 0.480487i
\(122\) 2.14909 + 3.72233i 0.194569 + 0.337004i
\(123\) −7.65543 15.2195i −0.690267 1.37230i
\(124\) 2.81858 + 1.62731i 0.253116 + 0.146137i
\(125\) −7.31753 −0.654500
\(126\) −4.54031 + 6.51042i −0.404483 + 0.579994i
\(127\) −10.5122 −0.932804 −0.466402 0.884573i \(-0.654450\pi\)
−0.466402 + 0.884573i \(0.654450\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −2.56915 5.10765i −0.226201 0.449704i
\(130\) 1.93419 + 3.35012i 0.169640 + 0.293825i
\(131\) −4.44059 + 7.69133i −0.387976 + 0.671994i −0.992177 0.124837i \(-0.960159\pi\)
0.604201 + 0.796832i \(0.293492\pi\)
\(132\) −0.220476 + 3.82654i −0.0191900 + 0.333057i
\(133\) −4.62502 + 0.137561i −0.401040 + 0.0119280i
\(134\) 12.6004i 1.08851i
\(135\) −8.99779 + 10.7640i −0.774406 + 0.926416i
\(136\) −5.18431 + 2.99316i −0.444551 + 0.256662i
\(137\) 16.1691 9.33525i 1.38142 0.797564i 0.389093 0.921198i \(-0.372788\pi\)
0.992328 + 0.123634i \(0.0394550\pi\)
\(138\) 0.950875 1.44770i 0.0809438 0.123236i
\(139\) 1.23068i 0.104385i −0.998637 0.0521923i \(-0.983379\pi\)
0.998637 0.0521923i \(-0.0166209\pi\)
\(140\) 6.07746 3.75404i 0.513639 0.317275i
\(141\) 11.3578 + 0.654409i 0.956499 + 0.0551112i
\(142\) 0.591318 1.02419i 0.0496223 0.0859483i
\(143\) −1.58529 2.74580i −0.132568 0.229615i
\(144\) −1.19167 2.75316i −0.0993062 0.229430i
\(145\) 21.8660 + 12.6243i 1.81587 + 1.04839i
\(146\) −3.84913 −0.318557
\(147\) −12.1243 + 0.0232042i −0.999998 + 0.00191385i
\(148\) 10.2061 0.838933
\(149\) −13.1559 7.59558i −1.07778 0.622254i −0.147481 0.989065i \(-0.547116\pi\)
−0.930296 + 0.366811i \(0.880450\pi\)
\(150\) 3.54302 1.78214i 0.289286 0.145511i
\(151\) 6.71279 + 11.6269i 0.546279 + 0.946183i 0.998525 + 0.0542896i \(0.0172894\pi\)
−0.452246 + 0.891893i \(0.649377\pi\)
\(152\) 0.874433 1.51456i 0.0709259 0.122847i
\(153\) 17.8401 + 2.06266i 1.44229 + 0.166756i
\(154\) −4.98115 + 3.07686i −0.401393 + 0.247940i
\(155\) 8.78732i 0.705814i
\(156\) 2.07420 + 1.36237i 0.166069 + 0.109077i
\(157\) 7.41201 4.27933i 0.591543 0.341528i −0.174164 0.984717i \(-0.555722\pi\)
0.765707 + 0.643189i \(0.222389\pi\)
\(158\) 0.694466 0.400950i 0.0552488 0.0318979i
\(159\) 7.75918 + 5.09636i 0.615343 + 0.404168i
\(160\) 2.69996i 0.213450i
\(161\) 2.64458 0.0786570i 0.208422 0.00619904i
\(162\) −2.05369 + 8.76255i −0.161353 + 0.688451i
\(163\) 10.4547 18.1081i 0.818875 1.41833i −0.0876363 0.996153i \(-0.527931\pi\)
0.906512 0.422181i \(-0.138735\pi\)
\(164\) 4.91800 + 8.51822i 0.384031 + 0.665161i
\(165\) −9.24496 + 4.65021i −0.719719 + 0.362019i
\(166\) 4.71972 + 2.72493i 0.366321 + 0.211496i
\(167\) 9.12336 0.705987 0.352993 0.935626i \(-0.385164\pi\)
0.352993 + 0.935626i \(0.385164\pi\)
\(168\) 2.40079 3.90336i 0.185225 0.301150i
\(169\) 10.9472 0.842093
\(170\) −13.9974 8.08141i −1.07355 0.619816i
\(171\) −4.81492 + 2.08408i −0.368206 + 0.159374i
\(172\) 1.65047 + 2.85870i 0.125847 + 0.217974i
\(173\) −11.3201 + 19.6070i −0.860651 + 1.49069i 0.0106509 + 0.999943i \(0.496610\pi\)
−0.871302 + 0.490748i \(0.836724\pi\)
\(174\) 16.1705 + 0.931705i 1.22588 + 0.0706324i
\(175\) 5.33423 + 2.87175i 0.403230 + 0.217084i
\(176\) 2.21292i 0.166805i
\(177\) 11.9423 18.1821i 0.897638 1.36665i
\(178\) −0.484312 + 0.279618i −0.0363007 + 0.0209582i
\(179\) 10.2862 5.93874i 0.768826 0.443882i −0.0636296 0.997974i \(-0.520268\pi\)
0.832456 + 0.554092i \(0.186934\pi\)
\(180\) 4.82880 6.50312i 0.359917 0.484714i
\(181\) 12.0424i 0.895105i −0.894258 0.447553i \(-0.852296\pi\)
0.894258 0.447553i \(-0.147704\pi\)
\(182\) 0.112696 + 3.78905i 0.00835361 + 0.280863i
\(183\) −0.428233 + 7.43232i −0.0316559 + 0.549413i
\(184\) −0.500000 + 0.866025i −0.0368605 + 0.0638442i
\(185\) 13.7780 + 23.8641i 1.01298 + 1.75453i
\(186\) 2.53309 + 5.03597i 0.185735 + 0.369255i
\(187\) 11.4724 + 6.62362i 0.838948 + 0.484367i
\(188\) −6.56830 −0.479043
\(189\) −12.7636 + 5.10788i −0.928416 + 0.371543i
\(190\) 4.72186 0.342560
\(191\) −13.9151 8.03387i −1.00686 0.581311i −0.0965890 0.995324i \(-0.530793\pi\)
−0.910271 + 0.414014i \(0.864127\pi\)
\(192\) 0.778308 + 1.54733i 0.0561695 + 0.111669i
\(193\) −5.92008 10.2539i −0.426137 0.738091i 0.570389 0.821375i \(-0.306792\pi\)
−0.996526 + 0.0832841i \(0.973459\pi\)
\(194\) −1.35332 + 2.34401i −0.0971625 + 0.168290i
\(195\) −0.385412 + 6.68914i −0.0276000 + 0.479019i
\(196\) 6.98763 0.416030i 0.499116 0.0297164i
\(197\) 11.5096i 0.820026i −0.912080 0.410013i \(-0.865524\pi\)
0.912080 0.410013i \(-0.134476\pi\)
\(198\) −3.95774 + 5.33003i −0.281264 + 0.378789i
\(199\) 17.7947 10.2738i 1.26143 0.728289i 0.288082 0.957606i \(-0.406983\pi\)
0.973352 + 0.229317i \(0.0736492\pi\)
\(200\) −1.98299 + 1.14488i −0.140219 + 0.0809552i
\(201\) −11.9814 + 18.2415i −0.845100 + 1.28666i
\(202\) 2.20624i 0.155230i
\(203\) 13.0024 + 21.0498i 0.912593 + 1.47740i
\(204\) −10.3515 0.596427i −0.724747 0.0417582i
\(205\) −13.2784 + 22.9988i −0.927402 + 1.60631i
\(206\) 6.27464 + 10.8680i 0.437175 + 0.757209i
\(207\) 2.75316 1.19167i 0.191358 0.0828271i
\(208\) −1.24080 0.716379i −0.0860343 0.0496719i
\(209\) −3.87009 −0.267700
\(210\) 12.3680 + 0.344166i 0.853471 + 0.0237497i
\(211\) 1.51663 0.104409 0.0522047 0.998636i \(-0.483375\pi\)
0.0522047 + 0.998636i \(0.483375\pi\)
\(212\) −4.64160 2.67983i −0.318786 0.184051i
\(213\) 1.82993 0.920455i 0.125385 0.0630685i
\(214\) −9.43070 16.3344i −0.644669 1.11660i
\(215\) −4.45620 + 7.71836i −0.303910 + 0.526388i
\(216\) 0.892727 5.11889i 0.0607424 0.348296i
\(217\) −4.08185 + 7.58196i −0.277094 + 0.514697i
\(218\) 2.89639i 0.196168i
\(219\) −5.57240 3.66005i −0.376548 0.247323i
\(220\) 5.17431 2.98739i 0.348852 0.201410i
\(221\) 7.42786 4.28848i 0.499652 0.288474i
\(222\) 14.7753 + 9.70469i 0.991655 + 0.651336i
\(223\) 5.35523i 0.358613i 0.983793 + 0.179306i \(0.0573853\pi\)
−0.983793 + 0.179306i \(0.942615\pi\)
\(224\) −1.25417 + 2.32960i −0.0837979 + 0.155653i
\(225\) 6.82382 + 0.788964i 0.454921 + 0.0525976i
\(226\) −10.3375 + 17.9050i −0.687637 + 1.19102i
\(227\) −4.09072 7.08533i −0.271511 0.470270i 0.697738 0.716353i \(-0.254190\pi\)
−0.969249 + 0.246083i \(0.920857\pi\)
\(228\) 2.70608 1.36116i 0.179214 0.0901448i
\(229\) 15.9535 + 9.21073i 1.05423 + 0.608662i 0.923832 0.382799i \(-0.125040\pi\)
0.130402 + 0.991461i \(0.458373\pi\)
\(230\) −2.69996 −0.178030
\(231\) −10.1369 0.282083i −0.666961 0.0185597i
\(232\) −9.35152 −0.613957
\(233\) −13.4516 7.76627i −0.881241 0.508785i −0.0101739 0.999948i \(-0.503239\pi\)
−0.871068 + 0.491163i \(0.836572\pi\)
\(234\) 1.70738 + 3.94462i 0.111615 + 0.257868i
\(235\) −8.86706 15.3582i −0.578423 1.00186i
\(236\) −6.27963 + 10.8766i −0.408769 + 0.708009i
\(237\) 1.38663 + 0.0798945i 0.0900715 + 0.00518970i
\(238\) −8.32345 13.4749i −0.539529 0.873448i
\(239\) 6.79571i 0.439578i 0.975547 + 0.219789i \(0.0705369\pi\)
−0.975547 + 0.219789i \(0.929463\pi\)
\(240\) −2.56732 + 3.90873i −0.165720 + 0.252307i
\(241\) −5.90306 + 3.40814i −0.380250 + 0.219537i −0.677927 0.735129i \(-0.737121\pi\)
0.297677 + 0.954667i \(0.403788\pi\)
\(242\) 5.28536 3.05150i 0.339756 0.196158i
\(243\) −11.3052 + 10.7328i −0.725230 + 0.688506i
\(244\) 4.29817i 0.275162i
\(245\) 10.4059 + 15.7770i 0.664809 + 1.00796i
\(246\) −0.979974 + 17.0082i −0.0624809 + 1.08441i
\(247\) −1.25285 + 2.17000i −0.0797170 + 0.138074i
\(248\) −1.62731 2.81858i −0.103334 0.178980i
\(249\) 4.24167 + 8.43274i 0.268805 + 0.534403i
\(250\) 6.33716 + 3.65876i 0.400797 + 0.231401i
\(251\) 1.41997 0.0896280 0.0448140 0.998995i \(-0.485730\pi\)
0.0448140 + 0.998995i \(0.485730\pi\)
\(252\) 7.18723 3.36804i 0.452753 0.212166i
\(253\) 2.21292 0.139125
\(254\) 9.10380 + 5.25608i 0.571223 + 0.329796i
\(255\) −12.5797 25.0093i −0.787769 1.56614i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 5.02436 8.70244i 0.313411 0.542843i −0.665688 0.746231i \(-0.731862\pi\)
0.979098 + 0.203387i \(0.0651950\pi\)
\(258\) −0.328878 + 5.70793i −0.0204750 + 0.355360i
\(259\) 0.802778 + 26.9908i 0.0498822 + 1.67712i
\(260\) 3.86838i 0.239907i
\(261\) 22.5241 + 16.7249i 1.39421 + 1.03525i
\(262\) 7.69133 4.44059i 0.475172 0.274341i
\(263\) 4.21685 2.43460i 0.260022 0.150124i −0.364322 0.931273i \(-0.618699\pi\)
0.624345 + 0.781149i \(0.285366\pi\)
\(264\) 2.10421 3.20364i 0.129505 0.197170i
\(265\) 14.4708i 0.888937i
\(266\) 4.07417 + 2.19338i 0.249803 + 0.134485i
\(267\) −0.967021 0.0557174i −0.0591807 0.00340985i
\(268\) 6.30018 10.9122i 0.384845 0.666571i
\(269\) 14.2913 + 24.7533i 0.871358 + 1.50924i 0.860592 + 0.509295i \(0.170094\pi\)
0.0107666 + 0.999942i \(0.496573\pi\)
\(270\) 13.1743 4.82299i 0.801763 0.293518i
\(271\) −9.53797 5.50675i −0.579391 0.334511i 0.181501 0.983391i \(-0.441905\pi\)
−0.760891 + 0.648879i \(0.775238\pi\)
\(272\) 5.98633 0.362975
\(273\) −3.43976 + 5.59256i −0.208184 + 0.338477i
\(274\) −18.6705 −1.12793
\(275\) 4.38819 + 2.53352i 0.264618 + 0.152777i
\(276\) −1.54733 + 0.778308i −0.0931384 + 0.0468486i
\(277\) 9.09879 + 15.7596i 0.546693 + 0.946900i 0.998498 + 0.0547837i \(0.0174469\pi\)
−0.451805 + 0.892117i \(0.649220\pi\)
\(278\) −0.615338 + 1.06580i −0.0369055 + 0.0639222i
\(279\) −1.12142 + 9.69923i −0.0671375 + 0.580678i
\(280\) −7.14025 + 0.212370i −0.426712 + 0.0126916i
\(281\) 23.0462i 1.37482i −0.726269 0.687411i \(-0.758747\pi\)
0.726269 0.687411i \(-0.241253\pi\)
\(282\) −9.50894 6.24563i −0.566249 0.371922i
\(283\) −7.96753 + 4.60005i −0.473620 + 0.273445i −0.717754 0.696297i \(-0.754830\pi\)
0.244134 + 0.969742i \(0.421496\pi\)
\(284\) −1.02419 + 0.591318i −0.0607746 + 0.0350882i
\(285\) 6.83584 + 4.48990i 0.404920 + 0.265959i
\(286\) 3.17057i 0.187480i
\(287\) −22.1403 + 13.6761i −1.30690 + 0.807272i
\(288\) −0.344562 + 2.98015i −0.0203035 + 0.175607i
\(289\) −9.41807 + 16.3126i −0.554004 + 0.959563i
\(290\) −12.6243 21.8660i −0.741327 1.28402i
\(291\) −4.18806 + 2.10660i −0.245509 + 0.123491i
\(292\) 3.33345 + 1.92457i 0.195075 + 0.112627i
\(293\) −0.830396 −0.0485122 −0.0242561 0.999706i \(-0.507722\pi\)
−0.0242561 + 0.999706i \(0.507722\pi\)
\(294\) 10.5116 + 6.04207i 0.613048 + 0.352381i
\(295\) −33.9095 −1.97429
\(296\) −8.83871 5.10303i −0.513740 0.296608i
\(297\) −10.7978 + 3.95298i −0.626553 + 0.229375i
\(298\) 7.59558 + 13.1559i 0.440000 + 0.762103i
\(299\) 0.716379 1.24080i 0.0414293 0.0717576i
\(300\) −3.95941 0.228132i −0.228597 0.0131712i
\(301\) −7.43024 + 4.58966i −0.428272 + 0.264544i
\(302\) 13.4256i 0.772555i
\(303\) 2.09785 3.19397i 0.120519 0.183489i
\(304\) −1.51456 + 0.874433i −0.0868661 + 0.0501522i
\(305\) 10.0501 5.80244i 0.575468 0.332246i
\(306\) −14.4187 10.7064i −0.824261 0.612043i
\(307\) 11.4880i 0.655658i −0.944737 0.327829i \(-0.893683\pi\)
0.944737 0.327829i \(-0.106317\pi\)
\(308\) 5.85224 0.174061i 0.333462 0.00991806i
\(309\) −1.25030 + 21.7000i −0.0711272 + 1.23447i
\(310\) 4.39366 7.61004i 0.249543 0.432221i
\(311\) −6.67985 11.5698i −0.378779 0.656065i 0.612106 0.790776i \(-0.290323\pi\)
−0.990885 + 0.134711i \(0.956989\pi\)
\(312\) −1.11513 2.21695i −0.0631316 0.125510i
\(313\) −14.4388 8.33627i −0.816131 0.471194i 0.0329493 0.999457i \(-0.489510\pi\)
−0.849081 + 0.528263i \(0.822843\pi\)
\(314\) −8.55866 −0.482993
\(315\) 17.5778 + 12.2586i 0.990400 + 0.690696i
\(316\) −0.801900 −0.0451104
\(317\) 9.04580 + 5.22260i 0.508063 + 0.293330i 0.732037 0.681265i \(-0.238570\pi\)
−0.223974 + 0.974595i \(0.571903\pi\)
\(318\) −4.17147 8.29317i −0.233924 0.465058i
\(319\) 10.3471 + 17.9216i 0.579324 + 1.00342i
\(320\) 1.34998 2.33823i 0.0754661 0.130711i
\(321\) 1.87919 32.6148i 0.104886 1.82038i
\(322\) −2.32960 1.25417i −0.129824 0.0698923i
\(323\) 10.4693i 0.582527i
\(324\) 6.15983 6.56175i 0.342213 0.364542i
\(325\) 2.84114 1.64034i 0.157598 0.0909895i
\(326\) −18.1081 + 10.4547i −1.00291 + 0.579032i
\(327\) 2.75411 4.19311i 0.152302 0.231879i
\(328\) 9.83599i 0.543102i
\(329\) −0.516643 17.3704i −0.0284834 0.957662i
\(330\) 10.3315 + 0.595275i 0.568729 + 0.0327688i
\(331\) 4.48257 7.76405i 0.246385 0.426751i −0.716135 0.697961i \(-0.754091\pi\)
0.962520 + 0.271211i \(0.0874241\pi\)
\(332\) −2.72493 4.71972i −0.149550 0.259028i
\(333\) 12.1623 + 28.0990i 0.666490 + 1.53981i
\(334\) −7.90106 4.56168i −0.432327 0.249604i
\(335\) 34.0204 1.85873
\(336\) −4.03083 + 2.18001i −0.219900 + 0.118929i
\(337\) −24.5860 −1.33929 −0.669643 0.742683i \(-0.733553\pi\)
−0.669643 + 0.742683i \(0.733553\pi\)
\(338\) −9.48056 5.47360i −0.515674 0.297725i
\(339\) −31.9909 + 16.0914i −1.73751 + 0.873967i
\(340\) 8.08141 + 13.9974i 0.438276 + 0.759116i
\(341\) −3.60109 + 6.23728i −0.195010 + 0.337768i
\(342\) 5.21188 + 0.602593i 0.281826 + 0.0325845i
\(343\) 1.64985 + 18.4466i 0.0890835 + 0.996024i
\(344\) 3.30094i 0.177975i
\(345\) −3.90873 2.56732i −0.210439 0.138220i
\(346\) 19.6070 11.3201i 1.05408 0.608572i
\(347\) 18.7255 10.8111i 1.00523 0.580373i 0.0954419 0.995435i \(-0.469574\pi\)
0.909793 + 0.415062i \(0.136240\pi\)
\(348\) −13.5382 8.89213i −0.725724 0.476668i
\(349\) 27.7476i 1.48530i −0.669682 0.742648i \(-0.733570\pi\)
0.669682 0.742648i \(-0.266430\pi\)
\(350\) −3.18370 5.15413i −0.170176 0.275500i
\(351\) −1.27906 + 7.33413i −0.0682712 + 0.391467i
\(352\) −1.10646 + 1.91644i −0.0589744 + 0.102147i
\(353\) 1.11081 + 1.92398i 0.0591223 + 0.102403i 0.894072 0.447924i \(-0.147836\pi\)
−0.834949 + 0.550327i \(0.814503\pi\)
\(354\) −19.4334 + 9.77498i −1.03287 + 0.519534i
\(355\) −2.76527 1.59653i −0.146765 0.0847351i
\(356\) 0.559236 0.0296394
\(357\) 0.763084 27.4222i 0.0403867 1.45134i
\(358\) −11.8775 −0.627744
\(359\) −31.9954 18.4725i −1.68865 0.974944i −0.955552 0.294823i \(-0.904739\pi\)
−0.733100 0.680121i \(-0.761927\pi\)
\(360\) −7.43342 + 3.21747i −0.391776 + 0.169575i
\(361\) −7.97073 13.8057i −0.419512 0.726617i
\(362\) −6.02121 + 10.4290i −0.316468 + 0.548138i
\(363\) 10.5532 + 0.608051i 0.553900 + 0.0319144i
\(364\) 1.79692 3.33776i 0.0941844 0.174946i
\(365\) 10.3925i 0.543968i
\(366\) 4.08702 6.22247i 0.213632 0.325253i
\(367\) 3.33189 1.92367i 0.173923 0.100415i −0.410511 0.911856i \(-0.634650\pi\)
0.584434 + 0.811441i \(0.301316\pi\)
\(368\) 0.866025 0.500000i 0.0451447 0.0260643i
\(369\) −17.5914 + 23.6910i −0.915772 + 1.23330i
\(370\) 27.5559i 1.43256i
\(371\) 6.72193 12.4859i 0.348985 0.648235i
\(372\) 0.324262 5.62783i 0.0168122 0.291789i
\(373\) 12.3397 21.3729i 0.638923 1.10665i −0.346747 0.937959i \(-0.612714\pi\)
0.985669 0.168688i \(-0.0539530\pi\)
\(374\) −6.62362 11.4724i −0.342499 0.593226i
\(375\) 5.69529 + 11.3226i 0.294104 + 0.584699i
\(376\) 5.68832 + 3.28415i 0.293353 + 0.169367i
\(377\) 13.3985 0.690056
\(378\) 13.6075 + 1.95825i 0.699897 + 0.100722i
\(379\) 8.48598 0.435895 0.217948 0.975960i \(-0.430064\pi\)
0.217948 + 0.975960i \(0.430064\pi\)
\(380\) −4.08925 2.36093i −0.209774 0.121113i
\(381\) 8.18170 + 16.2658i 0.419161 + 0.833323i
\(382\) 8.03387 + 13.9151i 0.411049 + 0.711957i
\(383\) 1.21052 2.09667i 0.0618545 0.107135i −0.833440 0.552610i \(-0.813632\pi\)
0.895294 + 0.445475i \(0.146965\pi\)
\(384\) 0.0996314 1.72918i 0.00508429 0.0882420i
\(385\) 8.30738 + 13.4489i 0.423383 + 0.685419i
\(386\) 11.8402i 0.602648i
\(387\) −5.90364 + 7.95065i −0.300099 + 0.404155i
\(388\) 2.34401 1.35332i 0.118999 0.0687043i
\(389\) 4.08956 2.36111i 0.207349 0.119713i −0.392730 0.919654i \(-0.628469\pi\)
0.600079 + 0.799941i \(0.295136\pi\)
\(390\) 3.67835 5.60026i 0.186260 0.283580i
\(391\) 5.98633i 0.302742i
\(392\) −6.25948 3.13352i −0.316151 0.158267i
\(393\) 15.3572 + 0.884845i 0.774668 + 0.0446345i
\(394\) −5.75481 + 9.96762i −0.289923 + 0.502161i
\(395\) −1.08255 1.87503i −0.0544689 0.0943429i
\(396\) 6.09252 2.63707i 0.306161 0.132518i
\(397\) 24.6115 + 14.2095i 1.23522 + 0.713152i 0.968113 0.250516i \(-0.0806002\pi\)
0.267103 + 0.963668i \(0.413934\pi\)
\(398\) −20.5476 −1.02996
\(399\) 3.81254 + 7.04938i 0.190866 + 0.352910i
\(400\) 2.28976 0.114488
\(401\) −20.3620 11.7560i −1.01683 0.587067i −0.103646 0.994614i \(-0.533051\pi\)
−0.913184 + 0.407547i \(0.866384\pi\)
\(402\) 19.4969 9.80696i 0.972419 0.489127i
\(403\) 2.33154 + 4.03834i 0.116142 + 0.201164i
\(404\) −1.10312 + 1.91066i −0.0548822 + 0.0950587i
\(405\) 23.6585 + 5.54487i 1.17560 + 0.275527i
\(406\) −0.735562 24.7309i −0.0365053 1.22737i
\(407\) 22.5852i 1.11950i
\(408\) 8.66641 + 5.69225i 0.429051 + 0.281808i
\(409\) −9.76750 + 5.63927i −0.482972 + 0.278844i −0.721654 0.692254i \(-0.756618\pi\)
0.238682 + 0.971098i \(0.423285\pi\)
\(410\) 22.9988 13.2784i 1.13583 0.655772i
\(411\) −27.0293 17.7533i −1.33326 0.875706i
\(412\) 12.5493i 0.618259i
\(413\) −29.2581 15.7515i −1.43970 0.775080i
\(414\) −2.98015 0.344562i −0.146466 0.0169343i
\(415\) 7.35719 12.7430i 0.361150 0.625530i
\(416\) 0.716379 + 1.24080i 0.0351234 + 0.0608355i
\(417\) −1.90426 + 0.957845i −0.0932522 + 0.0469059i
\(418\) 3.35160 + 1.93505i 0.163932 + 0.0946462i
\(419\) 5.27392 0.257648 0.128824 0.991667i \(-0.458880\pi\)
0.128824 + 0.991667i \(0.458880\pi\)
\(420\) −10.5389 6.48204i −0.514245 0.316291i
\(421\) 18.0881 0.881559 0.440779 0.897615i \(-0.354702\pi\)
0.440779 + 0.897615i \(0.354702\pi\)
\(422\) −1.31344 0.758317i −0.0639374 0.0369143i
\(423\) −7.82728 18.0836i −0.380575 0.879255i
\(424\) 2.67983 + 4.64160i 0.130144 + 0.225416i
\(425\) −6.85363 + 11.8708i −0.332450 + 0.575820i
\(426\) −2.04499 0.117828i −0.0990802 0.00570877i
\(427\) 11.3669 0.338081i 0.550081 0.0163609i
\(428\) 18.8614i 0.911700i
\(429\) −3.01482 + 4.59004i −0.145557 + 0.221609i
\(430\) 7.71836 4.45620i 0.372212 0.214897i
\(431\) −7.93784 + 4.58291i −0.382352 + 0.220751i −0.678841 0.734285i \(-0.737518\pi\)
0.296489 + 0.955036i \(0.404184\pi\)
\(432\) −3.33257 + 3.98673i −0.160338 + 0.191811i
\(433\) 12.7359i 0.612047i 0.952024 + 0.306024i \(0.0989987\pi\)
−0.952024 + 0.306024i \(0.901001\pi\)
\(434\) 7.32597 4.52525i 0.351658 0.217219i
\(435\) 2.51556 43.6596i 0.120612 2.09332i
\(436\) −1.44820 + 2.50835i −0.0693560 + 0.120128i
\(437\) −0.874433 1.51456i −0.0418298 0.0724514i
\(438\) 2.99581 + 5.95589i 0.143145 + 0.284583i
\(439\) −15.8389 9.14462i −0.755951 0.436449i 0.0718889 0.997413i \(-0.477097\pi\)
−0.827840 + 0.560964i \(0.810431\pi\)
\(440\) −5.97477 −0.284836
\(441\) 9.47237 + 18.7423i 0.451065 + 0.892491i
\(442\) −8.57696 −0.407964
\(443\) −8.54180 4.93161i −0.405833 0.234308i 0.283165 0.959071i \(-0.408616\pi\)
−0.688998 + 0.724763i \(0.741949\pi\)
\(444\) −7.94346 15.7922i −0.376980 0.749463i
\(445\) 0.754956 + 1.30762i 0.0357883 + 0.0619872i
\(446\) 2.67762 4.63777i 0.126789 0.219605i
\(447\) −1.51352 + 26.2683i −0.0715869 + 1.24245i
\(448\) 2.25095 1.39041i 0.106347 0.0656907i
\(449\) 16.7458i 0.790283i −0.918620 0.395141i \(-0.870696\pi\)
0.918620 0.395141i \(-0.129304\pi\)
\(450\) −5.51512 4.09517i −0.259985 0.193048i
\(451\) −18.8501 + 10.8831i −0.887617 + 0.512466i
\(452\) 17.9050 10.3375i 0.842180 0.486233i
\(453\) 12.7660 19.4362i 0.599801 0.913193i
\(454\) 8.18144i 0.383974i
\(455\) 10.2303 0.304275i 0.479602 0.0142646i
\(456\) −3.02411 0.174242i −0.141617 0.00815963i
\(457\) 10.0451 17.3985i 0.469888 0.813870i −0.529519 0.848298i \(-0.677628\pi\)
0.999407 + 0.0344283i \(0.0109610\pi\)
\(458\) −9.21073 15.9535i −0.430389 0.745456i
\(459\) −10.6935 29.2100i −0.499130 1.36341i
\(460\) 2.33823 + 1.34998i 0.109021 + 0.0629430i
\(461\) 29.6900 1.38280 0.691401 0.722471i \(-0.256994\pi\)
0.691401 + 0.722471i \(0.256994\pi\)
\(462\) 8.63780 + 5.31276i 0.401867 + 0.247172i
\(463\) −17.7289 −0.823933 −0.411967 0.911199i \(-0.635158\pi\)
−0.411967 + 0.911199i \(0.635158\pi\)
\(464\) 8.09865 + 4.67576i 0.375971 + 0.217067i
\(465\) 13.5969 6.83924i 0.630541 0.317162i
\(466\) 7.76627 + 13.4516i 0.359765 + 0.623132i
\(467\) 11.5346 19.9785i 0.533758 0.924496i −0.465464 0.885067i \(-0.654113\pi\)
0.999222 0.0394293i \(-0.0125540\pi\)
\(468\) 0.493674 4.26983i 0.0228201 0.197373i
\(469\) 29.3538 + 15.8030i 1.35543 + 0.729716i
\(470\) 17.7341i 0.818014i
\(471\) −12.3904 8.13821i −0.570918 0.374989i
\(472\) 10.8766 6.27963i 0.500638 0.289044i
\(473\) −6.32606 + 3.65235i −0.290873 + 0.167935i
\(474\) −1.16091 0.762507i −0.0533224 0.0350231i
\(475\) 4.00448i 0.183738i
\(476\) 0.470867 + 15.8313i 0.0215821 + 0.725628i
\(477\) 1.84673 15.9726i 0.0845561 0.731334i
\(478\) 3.39786 5.88526i 0.155414 0.269186i
\(479\) 0.974816 + 1.68843i 0.0445405 + 0.0771464i 0.887436 0.460931i \(-0.152484\pi\)
−0.842896 + 0.538077i \(0.819151\pi\)
\(480\) 4.17773 2.10140i 0.190686 0.0959152i
\(481\) 12.6637 + 7.31141i 0.577416 + 0.333372i
\(482\) 6.81627 0.310473
\(483\) −2.18001 4.03083i −0.0991938 0.183409i
\(484\) −6.10301 −0.277409
\(485\) 6.32873 + 3.65390i 0.287373 + 0.165915i
\(486\) 15.1570 3.64223i 0.687535 0.165215i
\(487\) −12.2520 21.2211i −0.555192 0.961621i −0.997889 0.0649496i \(-0.979311\pi\)
0.442696 0.896672i \(-0.354022\pi\)
\(488\) −2.14909 + 3.72233i −0.0972845 + 0.168502i
\(489\) −36.1562 2.08323i −1.63504 0.0942071i
\(490\) −1.12326 18.8663i −0.0507438 0.852292i
\(491\) 28.2864i 1.27655i −0.769809 0.638274i \(-0.779649\pi\)
0.769809 0.638274i \(-0.220351\pi\)
\(492\) 9.35280 14.2396i 0.421657 0.641970i
\(493\) −48.4812 + 27.9906i −2.18348 + 1.26064i
\(494\) 2.17000 1.25285i 0.0976330 0.0563684i
\(495\) 14.3909 + 10.6857i 0.646821 + 0.480287i
\(496\) 3.25462i 0.146137i
\(497\) −1.64435 2.66205i −0.0737591 0.119409i
\(498\) 0.542977 9.42380i 0.0243314 0.422291i
\(499\) −11.8933 + 20.5997i −0.532415 + 0.922170i 0.466869 + 0.884327i \(0.345382\pi\)
−0.999284 + 0.0378434i \(0.987951\pi\)
\(500\) −3.65876 6.33716i −0.163625 0.283407i
\(501\) −7.10079 14.1169i −0.317240 0.630695i
\(502\) −1.22973 0.709987i −0.0548857 0.0316883i
\(503\) −17.9415 −0.799972 −0.399986 0.916521i \(-0.630985\pi\)
−0.399986 + 0.916521i \(0.630985\pi\)
\(504\) −7.90835 0.676813i −0.352266 0.0301476i
\(505\) −5.95674 −0.265071
\(506\) −1.91644 1.10646i −0.0851962 0.0491880i
\(507\) −8.52030 16.9390i −0.378400 0.752286i
\(508\) −5.25608 9.10380i −0.233201 0.403916i
\(509\) −5.32786 + 9.22812i −0.236153 + 0.409029i −0.959607 0.281343i \(-0.909220\pi\)
0.723454 + 0.690373i \(0.242553\pi\)
\(510\) −1.61033 + 27.9485i −0.0713064 + 1.23758i
\(511\) −4.82748 + 8.96696i −0.213555 + 0.396675i
\(512\) 1.00000i 0.0441942i
\(513\) 6.97225 + 5.82822i 0.307832 + 0.257322i
\(514\) −8.70244 + 5.02436i −0.383848 + 0.221615i
\(515\) 29.3431 16.9413i 1.29301 0.746521i
\(516\) 3.13878 4.77878i 0.138177 0.210374i
\(517\) 14.5351i 0.639253i
\(518\) 12.8002 23.7761i 0.562407 1.04466i
\(519\) 39.1490 + 2.25567i 1.71845 + 0.0990131i
\(520\) −1.93419 + 3.35012i −0.0848199 + 0.146912i
\(521\) −2.08649 3.61391i −0.0914109 0.158328i 0.816694 0.577071i \(-0.195804\pi\)
−0.908105 + 0.418742i \(0.862471\pi\)
\(522\) −11.1440 25.7463i −0.487758 1.12688i
\(523\) −19.0773 11.0143i −0.834191 0.481620i 0.0210944 0.999777i \(-0.493285\pi\)
−0.855285 + 0.518157i \(0.826618\pi\)
\(524\) −8.88118 −0.387976
\(525\) 0.291878 10.4889i 0.0127386 0.457775i
\(526\) −4.86920 −0.212307
\(527\) −16.8729 9.74160i −0.734997 0.424351i
\(528\) −3.42411 + 1.72233i −0.149015 + 0.0749548i
\(529\) 0.500000 + 0.866025i 0.0217391 + 0.0376533i
\(530\) −7.23542 + 12.5321i −0.314287 + 0.544360i
\(531\) −37.4285 4.32745i −1.62426 0.187795i
\(532\) −2.43164 3.93660i −0.105425 0.170673i
\(533\) 14.0926i 0.610418i
\(534\) 0.809606 + 0.531763i 0.0350351 + 0.0230116i
\(535\) −44.1023 + 25.4625i −1.90671 + 1.10084i
\(536\) −10.9122 + 6.30018i −0.471337 + 0.272126i
\(537\) −17.1950 11.2940i −0.742020 0.487372i
\(538\) 28.5827i 1.23229i
\(539\) 0.920638 + 15.4630i 0.0396547 + 0.666040i
\(540\) −13.8208 2.41032i −0.594752 0.103724i
\(541\) −2.23499 + 3.87112i −0.0960899 + 0.166433i −0.910063 0.414470i \(-0.863967\pi\)
0.813973 + 0.580903i \(0.197300\pi\)
\(542\) 5.50675 + 9.53797i 0.236535 + 0.409691i
\(543\) −18.6336 + 9.37271i −0.799645 + 0.402221i
\(544\) −5.18431 2.99316i −0.222276 0.128331i
\(545\) −7.82013 −0.334977
\(546\) 5.77520 3.12342i 0.247156 0.133670i
\(547\) −3.32163 −0.142023 −0.0710114 0.997476i \(-0.522623\pi\)
−0.0710114 + 0.997476i \(0.522623\pi\)
\(548\) 16.1691 + 9.33525i 0.690711 + 0.398782i
\(549\) 11.8336 5.12202i 0.505044 0.218602i
\(550\) −2.53352 4.38819i −0.108030 0.187113i
\(551\) 8.17728 14.1635i 0.348364 0.603384i
\(552\) 1.72918 + 0.0996314i 0.0735989 + 0.00424060i
\(553\) −0.0630751 2.12069i −0.00268222 0.0901810i
\(554\) 18.1976i 0.773141i
\(555\) 26.2022 39.8927i 1.11222 1.69335i
\(556\) 1.06580 0.615338i 0.0451998 0.0260961i
\(557\) 24.4754 14.1309i 1.03706 0.598745i 0.118059 0.993007i \(-0.462333\pi\)
0.918998 + 0.394262i \(0.129000\pi\)
\(558\) 5.82079 7.83907i 0.246414 0.331854i
\(559\) 4.72945i 0.200034i
\(560\) 6.28983 + 3.38621i 0.265794 + 0.143093i
\(561\) 1.31984 22.9069i 0.0557237 0.967130i
\(562\) −11.5231 + 19.9586i −0.486073 + 0.841903i
\(563\) 17.2943 + 29.9546i 0.728868 + 1.26244i 0.957362 + 0.288891i \(0.0932864\pi\)
−0.228494 + 0.973545i \(0.573380\pi\)
\(564\) 5.11216 + 10.1633i 0.215261 + 0.427954i
\(565\) 48.3427 + 27.9107i 2.03379 + 1.17421i
\(566\) 9.20011 0.386709
\(567\) 17.8376 + 15.7740i 0.749109 + 0.662447i
\(568\) 1.18264 0.0496223
\(569\) 2.07211 + 1.19633i 0.0868672 + 0.0501528i 0.542804 0.839859i \(-0.317362\pi\)
−0.455937 + 0.890012i \(0.650696\pi\)
\(570\) −3.67506 7.30629i −0.153931 0.306027i
\(571\) 17.9656 + 31.1174i 0.751838 + 1.30222i 0.946931 + 0.321438i \(0.104166\pi\)
−0.195092 + 0.980785i \(0.562501\pi\)
\(572\) 1.58529 2.74580i 0.0662841 0.114807i
\(573\) −1.60085 + 27.7841i −0.0668766 + 1.16070i
\(574\) 26.0121 0.773670i 1.08572 0.0322923i
\(575\) 2.28976i 0.0954896i
\(576\) 1.78847 2.40860i 0.0745197 0.100358i
\(577\) 5.26476 3.03961i 0.219175 0.126541i −0.386393 0.922334i \(-0.626279\pi\)
0.605568 + 0.795793i \(0.292946\pi\)
\(578\) 16.3126 9.41807i 0.678514 0.391740i
\(579\) −11.2585 + 17.1410i −0.467888 + 0.712356i
\(580\) 25.2487i 1.04839i
\(581\) 12.2673 7.57754i 0.508935 0.314369i
\(582\) 4.68027 + 0.269666i 0.194003 + 0.0111780i
\(583\) 5.93023 10.2715i 0.245605 0.425401i
\(584\) −1.92457 3.33345i −0.0796392 0.137939i
\(585\) 10.6503 4.60985i 0.440335 0.190594i
\(586\) 0.719144 + 0.415198i 0.0297076 + 0.0171517i
\(587\) 13.6143 0.561922 0.280961 0.959719i \(-0.409347\pi\)
0.280961 + 0.959719i \(0.409347\pi\)
\(588\) −6.08226 10.4884i −0.250828 0.432533i
\(589\) 5.69189 0.234530
\(590\) 29.3665 + 16.9547i 1.20900 + 0.698015i
\(591\) −17.8092 + 8.95802i −0.732572 + 0.368484i
\(592\) 5.10303 + 8.83871i 0.209733 + 0.363269i
\(593\) −9.66516 + 16.7406i −0.396901 + 0.687452i −0.993342 0.115205i \(-0.963248\pi\)
0.596441 + 0.802657i \(0.296581\pi\)
\(594\) 11.3277 + 1.97553i 0.464780 + 0.0810569i
\(595\) −36.3817 + 22.4729i −1.49150 + 0.921301i
\(596\) 15.1912i 0.622254i
\(597\) −29.7467 19.5382i −1.21745 0.799643i
\(598\) −1.24080 + 0.716379i −0.0507403 + 0.0292949i
\(599\) −15.2450 + 8.80172i −0.622895 + 0.359629i −0.777995 0.628270i \(-0.783763\pi\)
0.155100 + 0.987899i \(0.450430\pi\)
\(600\) 3.31489 + 2.17728i 0.135330 + 0.0888869i
\(601\) 43.6783i 1.78167i 0.454323 + 0.890837i \(0.349881\pi\)
−0.454323 + 0.890837i \(0.650119\pi\)
\(602\) 8.72961 0.259642i 0.355792 0.0105822i
\(603\) 37.5509 + 4.34160i 1.52919 + 0.176804i
\(604\) −6.71279 + 11.6269i −0.273139 + 0.473091i
\(605\) −8.23892 14.2702i −0.334960 0.580167i
\(606\) −3.41378 + 1.71713i −0.138675 + 0.0697537i
\(607\) −23.9305 13.8163i −0.971309 0.560786i −0.0716741 0.997428i \(-0.522834\pi\)
−0.899635 + 0.436642i \(0.856167\pi\)
\(608\) 1.74887 0.0709259
\(609\) 22.4511 36.5023i 0.909764 1.47915i
\(610\) −11.6049 −0.469868
\(611\) −8.14998 4.70539i −0.329713 0.190360i
\(612\) 7.13375 + 16.4813i 0.288365 + 0.666219i
\(613\) −7.82250 13.5490i −0.315948 0.547238i 0.663691 0.748007i \(-0.268989\pi\)
−0.979639 + 0.200769i \(0.935656\pi\)
\(614\) −5.74402 + 9.94894i −0.231810 + 0.401507i
\(615\) 45.9215 + 2.64589i 1.85173 + 0.106692i
\(616\) −5.15522 2.77538i −0.207710 0.111823i
\(617\) 19.4854i 0.784451i 0.919869 + 0.392226i \(0.128295\pi\)
−0.919869 + 0.392226i \(0.871705\pi\)
\(618\) 11.9328 18.1676i 0.480007 0.730808i
\(619\) −13.9471 + 8.05237i −0.560582 + 0.323652i −0.753379 0.657587i \(-0.771577\pi\)
0.192797 + 0.981239i \(0.438244\pi\)
\(620\) −7.61004 + 4.39366i −0.305627 + 0.176454i
\(621\) −3.98673 3.33257i −0.159982 0.133731i
\(622\) 13.3597i 0.535675i
\(623\) 0.0439878 + 1.47894i 0.00176233 + 0.0592527i
\(624\) −0.142748 + 2.47750i −0.00571448 + 0.0991794i
\(625\) 15.6029 27.0250i 0.624116 1.08100i
\(626\) 8.33627 + 14.4388i 0.333184 + 0.577092i
\(627\) 3.01213 + 5.98832i 0.120293 + 0.239150i
\(628\) 7.41201 + 4.27933i 0.295772 + 0.170764i
\(629\) −61.0969 −2.43609
\(630\) −9.09355 19.4052i −0.362296 0.773122i
\(631\) −45.4746 −1.81032 −0.905158 0.425075i \(-0.860248\pi\)
−0.905158 + 0.425075i \(0.860248\pi\)
\(632\) 0.694466 + 0.400950i 0.0276244 + 0.0159489i
\(633\) −1.18041 2.34674i −0.0469170 0.0932744i
\(634\) −5.22260 9.04580i −0.207416 0.359255i
\(635\) 14.1912 24.5799i 0.563160 0.975422i
\(636\) −0.533990 + 9.26783i −0.0211741 + 0.367493i
\(637\) 8.96831 + 4.48958i 0.355338 + 0.177883i
\(638\) 20.6941i 0.819288i
\(639\) −2.84850 2.11511i −0.112685 0.0836725i
\(640\) −2.33823 + 1.34998i −0.0924267 + 0.0533626i
\(641\) 3.61910 2.08949i 0.142946 0.0825299i −0.426821 0.904336i \(-0.640367\pi\)
0.569767 + 0.821806i \(0.307033\pi\)
\(642\) −17.9348 + 27.3057i −0.707831 + 1.07767i
\(643\) 48.0129i 1.89344i −0.322054 0.946721i \(-0.604373\pi\)
0.322054 0.946721i \(-0.395627\pi\)
\(644\) 1.39041 + 2.25095i 0.0547898 + 0.0886997i
\(645\) 15.4112 + 0.887955i 0.606814 + 0.0349632i
\(646\) −5.23465 + 9.06667i −0.205954 + 0.356723i
\(647\) −8.04212 13.9294i −0.316168 0.547620i 0.663517 0.748161i \(-0.269063\pi\)
−0.979685 + 0.200542i \(0.935730\pi\)
\(648\) −8.61544 + 2.60273i −0.338446 + 0.102245i
\(649\) −24.0691 13.8963i −0.944795 0.545477i
\(650\) −3.28067 −0.128679
\(651\) 14.9088 + 0.414870i 0.584320 + 0.0162600i
\(652\) 20.9094 0.818875
\(653\) −22.2469 12.8442i −0.870587 0.502634i −0.00304393 0.999995i \(-0.500969\pi\)
−0.867543 + 0.497362i \(0.834302\pi\)
\(654\) −4.48168 + 2.25428i −0.175248 + 0.0881495i
\(655\) −11.9894 20.7662i −0.468464 0.811404i
\(656\) −4.91800 + 8.51822i −0.192016 + 0.332581i
\(657\) −1.32627 + 11.4710i −0.0517425 + 0.447526i
\(658\) −8.23778 + 15.3015i −0.321142 + 0.596516i
\(659\) 44.1564i 1.72009i 0.510218 + 0.860045i \(0.329565\pi\)
−0.510218 + 0.860045i \(0.670435\pi\)
\(660\) −8.64968 5.68126i −0.336688 0.221143i
\(661\) −19.4527 + 11.2310i −0.756621 + 0.436835i −0.828081 0.560608i \(-0.810567\pi\)
0.0714604 + 0.997443i \(0.477234\pi\)
\(662\) −7.76405 + 4.48257i −0.301758 + 0.174220i
\(663\) −12.4169 8.15561i −0.482231 0.316738i
\(664\) 5.44986i 0.211496i
\(665\) 5.92203 11.0001i 0.229646 0.426564i
\(666\) 3.51662 30.4156i 0.136266 1.17858i
\(667\) −4.67576 + 8.09865i −0.181046 + 0.313581i
\(668\) 4.56168 + 7.90106i 0.176497 + 0.305701i
\(669\) 8.28632 4.16802i 0.320368 0.161145i
\(670\) −29.4625 17.0102i −1.13824 0.657162i
\(671\) 9.51149 0.367187
\(672\) 4.58080 + 0.127471i 0.176708 + 0.00491731i
\(673\) −38.5037 −1.48421 −0.742104 0.670284i \(-0.766172\pi\)
−0.742104 + 0.670284i \(0.766172\pi\)
\(674\) 21.2921 + 12.2930i 0.820141 + 0.473509i
\(675\) −4.09025 11.1728i −0.157434 0.430040i
\(676\) 5.47360 + 9.48056i 0.210523 + 0.364637i
\(677\) 16.8208 29.1345i 0.646476 1.11973i −0.337483 0.941332i \(-0.609576\pi\)
0.983959 0.178397i \(-0.0570911\pi\)
\(678\) 35.7507 + 2.05987i 1.37300 + 0.0791088i
\(679\) 3.76333 + 6.09249i 0.144423 + 0.233808i
\(680\) 16.1628i 0.619816i
\(681\) −7.77952 + 11.8443i −0.298112 + 0.453874i
\(682\) 6.23728 3.60109i 0.238838 0.137893i
\(683\) 26.2370 15.1480i 1.00393 0.579620i 0.0945228 0.995523i \(-0.469867\pi\)
0.909409 + 0.415902i \(0.136534\pi\)
\(684\) −4.21232 3.12780i −0.161062 0.119594i
\(685\) 50.4095i 1.92605i
\(686\) 7.79450 16.8002i 0.297595 0.641434i
\(687\) 1.83536 31.8541i 0.0700232 1.21531i
\(688\) −1.65047 + 2.85870i −0.0629236 + 0.108987i
\(689\) −3.83955 6.65029i −0.146275 0.253356i
\(690\) 2.10140 + 4.17773i 0.0799988 + 0.159043i
\(691\) 8.16682 + 4.71512i 0.310681 + 0.179372i 0.647231 0.762294i \(-0.275927\pi\)
−0.336550 + 0.941665i \(0.609260\pi\)
\(692\) −22.6402 −0.860651
\(693\) 7.45318 + 15.9047i 0.283123 + 0.604171i
\(694\) −21.6223 −0.820771
\(695\) 2.87760 + 1.66139i 0.109154 + 0.0630199i
\(696\) 7.27836 + 14.4699i 0.275886 + 0.548480i
\(697\) −29.4407 50.9929i −1.11515 1.93149i
\(698\) −13.8738 + 24.0301i −0.525131 + 0.909554i
\(699\) −1.54753 + 26.8586i −0.0585329 + 1.01589i
\(700\) 0.180106 + 6.05546i 0.00680735 + 0.228875i
\(701\) 10.1563i 0.383599i −0.981434 0.191800i \(-0.938568\pi\)
0.981434 0.191800i \(-0.0614324\pi\)
\(702\) 4.77476 5.71201i 0.180212 0.215586i
\(703\) 15.4577 8.92452i 0.582999 0.336595i
\(704\) 1.91644 1.10646i 0.0722286 0.0417012i
\(705\) −16.8629 + 25.6737i −0.635095 + 0.966928i
\(706\) 2.22162i 0.0836116i
\(707\) −5.13965 2.76700i −0.193297 0.104064i
\(708\) 21.7173 + 1.25130i 0.816185 + 0.0470267i
\(709\) −13.5322 + 23.4385i −0.508213 + 0.880250i 0.491742 + 0.870741i \(0.336360\pi\)
−0.999955 + 0.00950924i \(0.996973\pi\)
\(710\) 1.59653 + 2.76527i 0.0599168 + 0.103779i
\(711\) −0.955604 2.20776i −0.0358379 0.0827976i
\(712\) −0.484312 0.279618i −0.0181504 0.0104791i
\(713\) −3.25462 −0.121886
\(714\) −14.3719 + 23.3668i −0.537857 + 0.874479i
\(715\) 8.56040 0.320141
\(716\) 10.2862 + 5.93874i 0.384413 + 0.221941i
\(717\) 10.5152 5.28916i 0.392698 0.197527i
\(718\) 18.4725 + 31.9954i 0.689389 + 1.19406i
\(719\) 18.8769 32.6958i 0.703991 1.21935i −0.263064 0.964778i \(-0.584733\pi\)
0.967055 0.254569i \(-0.0819336\pi\)
\(720\) 8.04626 + 0.930302i 0.299867 + 0.0346703i
\(721\) 33.1876 0.987089i 1.23597 0.0367611i
\(722\) 15.9415i 0.593280i
\(723\) 9.86792 + 6.48142i 0.366992 + 0.241047i
\(724\) 10.4290 6.02121i 0.387592 0.223776i
\(725\) −18.5440 + 10.7064i −0.688706 + 0.397625i
\(726\) −8.83532 5.80319i −0.327910 0.215377i
\(727\) 4.36254i 0.161798i −0.996722 0.0808988i \(-0.974221\pi\)
0.996722 0.0808988i \(-0.0257791\pi\)
\(728\) −3.22506 + 1.99212i −0.119529 + 0.0738329i
\(729\) 25.4061 + 9.13954i 0.940966 + 0.338502i
\(730\) 5.19625 9.00016i 0.192322 0.333111i
\(731\) −9.88026 17.1131i −0.365435 0.632951i
\(732\) −6.65070 + 3.34530i −0.245817 + 0.123646i
\(733\) 15.9256 + 9.19463i 0.588224 + 0.339611i 0.764395 0.644748i \(-0.223038\pi\)
−0.176171 + 0.984360i \(0.556371\pi\)
\(734\) −3.84733 −0.142008
\(735\) 16.3133 28.3808i 0.601726 1.04684i
\(736\) −1.00000 −0.0368605
\(737\) 24.1478 + 13.9418i 0.889497 + 0.513552i
\(738\) 27.0801 11.7213i 0.996832 0.431467i
\(739\) −7.39594 12.8102i −0.272064 0.471229i 0.697326 0.716754i \(-0.254373\pi\)
−0.969390 + 0.245525i \(0.921040\pi\)
\(740\) −13.7780 + 23.8641i −0.506488 + 0.877263i
\(741\) 4.33282 + 0.249647i 0.159170 + 0.00917100i
\(742\) −12.0643 + 7.45212i −0.442895 + 0.273576i
\(743\) 41.7216i 1.53062i 0.643664 + 0.765308i \(0.277413\pi\)
−0.643664 + 0.765308i \(0.722587\pi\)
\(744\) −3.09473 + 4.71171i −0.113458 + 0.172740i
\(745\) 35.5204 20.5077i 1.30137 0.751345i
\(746\) −21.3729 + 12.3397i −0.782518 + 0.451787i
\(747\) 9.74692 13.1265i 0.356621 0.480275i
\(748\) 13.2472i 0.484367i
\(749\) −49.8805 + 1.48358i −1.82259 + 0.0542088i
\(750\) 0.729056 12.6533i 0.0266213 0.462035i
\(751\) −2.71160 + 4.69662i −0.0989475 + 0.171382i −0.911249 0.411855i \(-0.864881\pi\)
0.812302 + 0.583237i \(0.198214\pi\)
\(752\) −3.28415 5.68832i −0.119761 0.207432i
\(753\) −1.10518 2.19717i −0.0402749 0.0800694i
\(754\) −11.6034 6.69923i −0.422571 0.243972i
\(755\) −36.2484 −1.31922
\(756\) −10.8054 8.49967i −0.392987 0.309130i
\(757\) 25.2623 0.918172 0.459086 0.888392i \(-0.348177\pi\)
0.459086 + 0.888392i \(0.348177\pi\)
\(758\) −7.34907 4.24299i −0.266930 0.154112i
\(759\) −1.72233 3.42411i −0.0625166 0.124287i
\(760\) 2.36093 + 4.08925i 0.0856400 + 0.148333i
\(761\) −26.4849 + 45.8732i −0.960077 + 1.66290i −0.237779 + 0.971319i \(0.576419\pi\)
−0.722298 + 0.691582i \(0.756914\pi\)
\(762\) 1.04734 18.1775i 0.0379412 0.658500i
\(763\) −6.74744 3.63257i −0.244274 0.131508i
\(764\) 16.0677i 0.581311i
\(765\) −28.9068 + 38.9298i −1.04513 + 1.40751i
\(766\) −2.09667 + 1.21052i −0.0757559 + 0.0437377i
\(767\) −15.5836 + 8.99719i −0.562691 + 0.324870i
\(768\) −0.950875 + 1.44770i −0.0343117 + 0.0522394i
\(769\) 29.2565i 1.05502i −0.849550 0.527508i \(-0.823126\pi\)
0.849550 0.527508i \(-0.176874\pi\)
\(770\) −0.469958 15.8008i −0.0169361