Properties

Label 416.2.bf.a.53.4
Level $416$
Weight $2$
Character 416.53
Analytic conductor $3.322$
Analytic rank $0$
Dimension $192$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [416,2,Mod(53,416)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(416, base_ring=CyclotomicField(8))
 
chi = DirichletCharacter(H, H._module([0, 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("416.53");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 416 = 2^{5} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 416.bf (of order \(8\), degree \(4\), 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: \(3.32177672409\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 53.4
Character \(\chi\) \(=\) 416.53
Dual form 416.2.bf.a.157.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.34738 + 0.429614i) q^{2} +(2.33432 - 0.966908i) q^{3} +(1.63086 - 1.15771i) q^{4} +(1.29458 - 3.12540i) q^{5} +(-2.72982 + 2.30565i) q^{6} +(-0.532783 - 0.532783i) q^{7} +(-1.70002 + 2.26051i) q^{8} +(2.39283 - 2.39283i) q^{9} +O(q^{10})\) \(q+(-1.34738 + 0.429614i) q^{2} +(2.33432 - 0.966908i) q^{3} +(1.63086 - 1.15771i) q^{4} +(1.29458 - 3.12540i) q^{5} +(-2.72982 + 2.30565i) q^{6} +(-0.532783 - 0.532783i) q^{7} +(-1.70002 + 2.26051i) q^{8} +(2.39283 - 2.39283i) q^{9} +(-0.401578 + 4.76727i) q^{10} +(2.30815 + 0.956066i) q^{11} +(2.68756 - 4.27935i) q^{12} +(0.382683 + 0.923880i) q^{13} +(0.946752 + 0.488970i) q^{14} -8.54743i q^{15} +(1.31943 - 3.77612i) q^{16} +5.66131i q^{17} +(-2.19605 + 4.25204i) q^{18} +(-1.48169 - 3.57711i) q^{19} +(-1.50701 - 6.59585i) q^{20} +(-1.75884 - 0.728534i) q^{21} +(-3.52069 - 0.296571i) q^{22} +(-0.544539 + 0.544539i) q^{23} +(-1.78270 + 6.92053i) q^{24} +(-4.55664 - 4.55664i) q^{25} +(-0.912532 - 1.08041i) q^{26} +(0.371260 - 0.896300i) q^{27} +(-1.48570 - 0.252090i) q^{28} +(-0.172321 + 0.0713778i) q^{29} +(3.67210 + 11.5166i) q^{30} -9.48161 q^{31} +(-0.155497 + 5.65472i) q^{32} +6.31238 q^{33} +(-2.43218 - 7.62793i) q^{34} +(-2.35489 + 0.975427i) q^{35} +(1.13218 - 6.67256i) q^{36} +(1.26339 - 3.05009i) q^{37} +(3.53318 + 4.18318i) q^{38} +(1.78661 + 1.78661i) q^{39} +(4.86418 + 8.23968i) q^{40} +(-3.74391 + 3.74391i) q^{41} +(2.68281 + 0.225991i) q^{42} +(9.89221 + 4.09749i) q^{43} +(4.87111 - 1.11294i) q^{44} +(-4.38082 - 10.5762i) q^{45} +(0.499759 - 0.967642i) q^{46} -6.90584i q^{47} +(-0.571189 - 10.0905i) q^{48} -6.43229i q^{49} +(8.09713 + 4.18193i) q^{50} +(5.47396 + 13.2153i) q^{51} +(1.69369 + 1.06369i) q^{52} +(8.11671 + 3.36205i) q^{53} +(-0.115164 + 1.36716i) q^{54} +(5.97617 - 5.97617i) q^{55} +(2.11011 - 0.298618i) q^{56} +(-6.91748 - 6.91748i) q^{57} +(0.201517 - 0.170205i) q^{58} +(-4.99874 + 12.0680i) q^{59} +(-9.89542 - 13.9397i) q^{60} +(7.27628 - 3.01393i) q^{61} +(12.7753 - 4.07343i) q^{62} -2.54971 q^{63} +(-2.21983 - 7.68585i) q^{64} +3.38291 q^{65} +(-8.50517 + 2.71189i) q^{66} +(-4.16514 + 1.72526i) q^{67} +(6.55414 + 9.23282i) q^{68} +(-0.744610 + 1.79765i) q^{69} +(2.75387 - 2.32597i) q^{70} +(-2.80474 - 2.80474i) q^{71} +(1.34115 + 9.47687i) q^{72} +(3.20489 - 3.20489i) q^{73} +(-0.391902 + 4.65240i) q^{74} +(-15.0425 - 6.23082i) q^{75} +(-6.55768 - 4.11842i) q^{76} +(-0.720365 - 1.73912i) q^{77} +(-3.17480 - 1.63969i) q^{78} +11.3386i q^{79} +(-10.0938 - 9.01225i) q^{80} +7.70067i q^{81} +(3.43603 - 6.65290i) q^{82} +(-0.0942172 - 0.227461i) q^{83} +(-3.71185 + 0.848078i) q^{84} +(17.6939 + 7.32904i) q^{85} +(-15.0889 - 1.27104i) q^{86} +(-0.333238 + 0.333238i) q^{87} +(-6.08510 + 3.59226i) q^{88} +(11.9906 + 11.9906i) q^{89} +(10.4463 + 12.3682i) q^{90} +(0.288340 - 0.696114i) q^{91} +(-0.257652 + 1.51848i) q^{92} +(-22.1331 + 9.16784i) q^{93} +(2.96685 + 9.30478i) q^{94} -13.0981 q^{95} +(5.10461 + 13.3503i) q^{96} +8.01939 q^{97} +(2.76340 + 8.66673i) q^{98} +(7.81069 - 3.23529i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 16 q^{10} - 16 q^{12} - 40 q^{16} - 40 q^{18} - 8 q^{22} - 16 q^{23} + 24 q^{24} + 80 q^{30} - 48 q^{31} - 48 q^{35} + 80 q^{36} - 56 q^{38} - 64 q^{40} - 16 q^{43} - 80 q^{44} + 24 q^{50} + 32 q^{51} - 32 q^{53} - 24 q^{54} + 32 q^{55} + 16 q^{56} - 64 q^{58} - 56 q^{60} - 64 q^{61} + 24 q^{62} + 80 q^{63} + 72 q^{64} + 96 q^{66} + 80 q^{67} - 32 q^{68} - 64 q^{69} - 120 q^{72} - 32 q^{74} + 32 q^{75} + 64 q^{76} - 32 q^{77} - 56 q^{80} - 80 q^{82} - 80 q^{83} + 112 q^{84} - 112 q^{87} - 88 q^{88} - 120 q^{90} + 144 q^{92} + 40 q^{94} + 136 q^{96} + 56 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(287\) \(353\)
\(\chi(n)\) \(e\left(\frac{5}{8}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.34738 + 0.429614i −0.952741 + 0.303783i
\(3\) 2.33432 0.966908i 1.34772 0.558244i 0.412064 0.911155i \(-0.364808\pi\)
0.935657 + 0.352911i \(0.114808\pi\)
\(4\) 1.63086 1.15771i 0.815432 0.578853i
\(5\) 1.29458 3.12540i 0.578955 1.39772i −0.314797 0.949159i \(-0.601936\pi\)
0.893752 0.448562i \(-0.148064\pi\)
\(6\) −2.72982 + 2.30565i −1.11444 + 0.941277i
\(7\) −0.532783 0.532783i −0.201373 0.201373i 0.599215 0.800588i \(-0.295479\pi\)
−0.800588 + 0.599215i \(0.795479\pi\)
\(8\) −1.70002 + 2.26051i −0.601049 + 0.799212i
\(9\) 2.39283 2.39283i 0.797608 0.797608i
\(10\) −0.401578 + 4.76727i −0.126990 + 1.50754i
\(11\) 2.30815 + 0.956066i 0.695932 + 0.288265i 0.702469 0.711714i \(-0.252081\pi\)
−0.00653700 + 0.999979i \(0.502081\pi\)
\(12\) 2.68756 4.27935i 0.775833 1.23534i
\(13\) 0.382683 + 0.923880i 0.106137 + 0.256238i
\(14\) 0.946752 + 0.488970i 0.253030 + 0.130683i
\(15\) 8.54743i 2.20694i
\(16\) 1.31943 3.77612i 0.329857 0.944031i
\(17\) 5.66131i 1.37307i 0.727097 + 0.686535i \(0.240869\pi\)
−0.727097 + 0.686535i \(0.759131\pi\)
\(18\) −2.19605 + 4.25204i −0.517614 + 1.00221i
\(19\) −1.48169 3.57711i −0.339923 0.820646i −0.997722 0.0674533i \(-0.978513\pi\)
0.657800 0.753193i \(-0.271487\pi\)
\(20\) −1.50701 6.59585i −0.336977 1.47488i
\(21\) −1.75884 0.728534i −0.383810 0.158979i
\(22\) −3.52069 0.296571i −0.750613 0.0632291i
\(23\) −0.544539 + 0.544539i −0.113544 + 0.113544i −0.761596 0.648052i \(-0.775584\pi\)
0.648052 + 0.761596i \(0.275584\pi\)
\(24\) −1.78270 + 6.92053i −0.363891 + 1.41265i
\(25\) −4.55664 4.55664i −0.911329 0.911329i
\(26\) −0.912532 1.08041i −0.178962 0.211886i
\(27\) 0.371260 0.896300i 0.0714490 0.172493i
\(28\) −1.48570 0.252090i −0.280771 0.0476405i
\(29\) −0.172321 + 0.0713778i −0.0319993 + 0.0132545i −0.398626 0.917114i \(-0.630513\pi\)
0.366626 + 0.930368i \(0.380513\pi\)
\(30\) 3.67210 + 11.5166i 0.670430 + 2.10264i
\(31\) −9.48161 −1.70295 −0.851474 0.524397i \(-0.824291\pi\)
−0.851474 + 0.524397i \(0.824291\pi\)
\(32\) −0.155497 + 5.65472i −0.0274882 + 0.999622i
\(33\) 6.31238 1.09884
\(34\) −2.43218 7.62793i −0.417115 1.30818i
\(35\) −2.35489 + 0.975427i −0.398049 + 0.164877i
\(36\) 1.13218 6.67256i 0.188697 1.11209i
\(37\) 1.26339 3.05009i 0.207700 0.501432i −0.785360 0.619039i \(-0.787522\pi\)
0.993060 + 0.117607i \(0.0375222\pi\)
\(38\) 3.53318 + 4.18318i 0.573157 + 0.678601i
\(39\) 1.78661 + 1.78661i 0.286087 + 0.286087i
\(40\) 4.86418 + 8.23968i 0.769095 + 1.30281i
\(41\) −3.74391 + 3.74391i −0.584700 + 0.584700i −0.936191 0.351491i \(-0.885675\pi\)
0.351491 + 0.936191i \(0.385675\pi\)
\(42\) 2.68281 + 0.225991i 0.413967 + 0.0348711i
\(43\) 9.89221 + 4.09749i 1.50855 + 0.624861i 0.975258 0.221072i \(-0.0709556\pi\)
0.533290 + 0.845933i \(0.320956\pi\)
\(44\) 4.87111 1.11294i 0.734348 0.167783i
\(45\) −4.38082 10.5762i −0.653055 1.57661i
\(46\) 0.499759 0.967642i 0.0736854 0.142671i
\(47\) 6.90584i 1.00732i −0.863902 0.503660i \(-0.831987\pi\)
0.863902 0.503660i \(-0.168013\pi\)
\(48\) −0.571189 10.0905i −0.0824440 1.45643i
\(49\) 6.43229i 0.918898i
\(50\) 8.09713 + 4.18193i 1.14511 + 0.591414i
\(51\) 5.47396 + 13.2153i 0.766508 + 1.85051i
\(52\) 1.69369 + 1.06369i 0.234872 + 0.147507i
\(53\) 8.11671 + 3.36205i 1.11492 + 0.461813i 0.862628 0.505839i \(-0.168817\pi\)
0.252288 + 0.967652i \(0.418817\pi\)
\(54\) −0.115164 + 1.36716i −0.0156719 + 0.186046i
\(55\) 5.97617 5.97617i 0.805827 0.805827i
\(56\) 2.11011 0.298618i 0.281975 0.0399046i
\(57\) −6.91748 6.91748i −0.916242 0.916242i
\(58\) 0.201517 0.170205i 0.0264605 0.0223490i
\(59\) −4.99874 + 12.0680i −0.650780 + 1.57112i 0.160868 + 0.986976i \(0.448571\pi\)
−0.811648 + 0.584146i \(0.801429\pi\)
\(60\) −9.89542 13.9397i −1.27749 1.79961i
\(61\) 7.27628 3.01393i 0.931632 0.385894i 0.135334 0.990800i \(-0.456789\pi\)
0.796297 + 0.604906i \(0.206789\pi\)
\(62\) 12.7753 4.07343i 1.62247 0.517327i
\(63\) −2.54971 −0.321234
\(64\) −2.21983 7.68585i −0.277479 0.960732i
\(65\) 3.38291 0.419598
\(66\) −8.50517 + 2.71189i −1.04691 + 0.333810i
\(67\) −4.16514 + 1.72526i −0.508852 + 0.210774i −0.622312 0.782769i \(-0.713807\pi\)
0.113460 + 0.993543i \(0.463807\pi\)
\(68\) 6.55414 + 9.23282i 0.794806 + 1.11964i
\(69\) −0.744610 + 1.79765i −0.0896405 + 0.216411i
\(70\) 2.75387 2.32597i 0.329151 0.278006i
\(71\) −2.80474 2.80474i −0.332862 0.332862i 0.520811 0.853672i \(-0.325630\pi\)
−0.853672 + 0.520811i \(0.825630\pi\)
\(72\) 1.34115 + 9.47687i 0.158056 + 1.11686i
\(73\) 3.20489 3.20489i 0.375104 0.375104i −0.494228 0.869332i \(-0.664549\pi\)
0.869332 + 0.494228i \(0.164549\pi\)
\(74\) −0.391902 + 4.65240i −0.0455577 + 0.540831i
\(75\) −15.0425 6.23082i −1.73696 0.719473i
\(76\) −6.55768 4.11842i −0.752218 0.472415i
\(77\) −0.720365 1.73912i −0.0820932 0.198191i
\(78\) −3.17480 1.63969i −0.359475 0.185658i
\(79\) 11.3386i 1.27569i 0.770165 + 0.637844i \(0.220174\pi\)
−0.770165 + 0.637844i \(0.779826\pi\)
\(80\) −10.0938 9.01225i −1.12852 1.00760i
\(81\) 7.70067i 0.855630i
\(82\) 3.43603 6.65290i 0.379446 0.734690i
\(83\) −0.0942172 0.227461i −0.0103417 0.0249670i 0.918624 0.395132i \(-0.129301\pi\)
−0.928966 + 0.370165i \(0.879301\pi\)
\(84\) −3.71185 + 0.848078i −0.404996 + 0.0925329i
\(85\) 17.6939 + 7.32904i 1.91917 + 0.794946i
\(86\) −15.0889 1.27104i −1.62708 0.137059i
\(87\) −0.333238 + 0.333238i −0.0357268 + 0.0357268i
\(88\) −6.08510 + 3.59226i −0.648674 + 0.382936i
\(89\) 11.9906 + 11.9906i 1.27101 + 1.27101i 0.945561 + 0.325444i \(0.105514\pi\)
0.325444 + 0.945561i \(0.394486\pi\)
\(90\) 10.4463 + 12.3682i 1.10114 + 1.30372i
\(91\) 0.288340 0.696114i 0.0302262 0.0729726i
\(92\) −0.257652 + 1.51848i −0.0268621 + 0.158313i
\(93\) −22.1331 + 9.16784i −2.29510 + 0.950661i
\(94\) 2.96685 + 9.30478i 0.306007 + 0.959715i
\(95\) −13.0981 −1.34383
\(96\) 5.10461 + 13.3503i 0.520987 + 1.36256i
\(97\) 8.01939 0.814246 0.407123 0.913373i \(-0.366532\pi\)
0.407123 + 0.913373i \(0.366532\pi\)
\(98\) 2.76340 + 8.66673i 0.279146 + 0.875472i
\(99\) 7.81069 3.23529i 0.785004 0.325159i
\(100\) −12.7065 2.15600i −1.27065 0.215600i
\(101\) −2.62516 + 6.33770i −0.261213 + 0.630624i −0.999014 0.0443939i \(-0.985864\pi\)
0.737801 + 0.675018i \(0.235864\pi\)
\(102\) −13.0530 15.4544i −1.29244 1.53021i
\(103\) −5.27768 5.27768i −0.520025 0.520025i 0.397554 0.917579i \(-0.369859\pi\)
−0.917579 + 0.397554i \(0.869859\pi\)
\(104\) −2.73901 0.705557i −0.268582 0.0691856i
\(105\) −4.55392 + 4.55392i −0.444417 + 0.444417i
\(106\) −12.3807 1.04291i −1.20252 0.101296i
\(107\) −12.6366 5.23427i −1.22163 0.506016i −0.323702 0.946159i \(-0.604928\pi\)
−0.897927 + 0.440144i \(0.854928\pi\)
\(108\) −0.432179 1.89155i −0.0415865 0.182015i
\(109\) −5.02767 12.1379i −0.481563 1.16260i −0.958866 0.283858i \(-0.908386\pi\)
0.477303 0.878739i \(-0.341614\pi\)
\(110\) −5.48472 + 10.6196i −0.522948 + 1.01254i
\(111\) 8.34148i 0.791738i
\(112\) −2.71482 + 1.30888i −0.256527 + 0.123678i
\(113\) 12.7887i 1.20306i 0.798851 + 0.601528i \(0.205441\pi\)
−0.798851 + 0.601528i \(0.794559\pi\)
\(114\) 12.2923 + 6.34862i 1.15128 + 0.594603i
\(115\) 0.996950 + 2.40685i 0.0929661 + 0.224440i
\(116\) −0.198398 + 0.315905i −0.0184208 + 0.0293310i
\(117\) 3.12638 + 1.29499i 0.289034 + 0.119722i
\(118\) 1.55060 18.4077i 0.142745 1.69457i
\(119\) 3.01625 3.01625i 0.276499 0.276499i
\(120\) 19.3216 + 14.5308i 1.76381 + 1.32648i
\(121\) −3.36470 3.36470i −0.305881 0.305881i
\(122\) −8.50908 + 7.18690i −0.770376 + 0.650671i
\(123\) −5.11947 + 12.3595i −0.461607 + 1.11442i
\(124\) −15.4632 + 10.9769i −1.38864 + 0.985757i
\(125\) −4.51328 + 1.86946i −0.403680 + 0.167210i
\(126\) 3.43543 1.09539i 0.306052 0.0975853i
\(127\) −0.651405 −0.0578028 −0.0289014 0.999582i \(-0.509201\pi\)
−0.0289014 + 0.999582i \(0.509201\pi\)
\(128\) 6.29291 + 9.40209i 0.556220 + 0.831035i
\(129\) 27.0535 2.38193
\(130\) −4.55806 + 1.45335i −0.399768 + 0.127467i
\(131\) −13.7671 + 5.70252i −1.20284 + 0.498232i −0.891915 0.452203i \(-0.850638\pi\)
−0.310923 + 0.950435i \(0.600638\pi\)
\(132\) 10.2946 7.30789i 0.896033 0.636070i
\(133\) −1.11641 + 2.69524i −0.0968047 + 0.233707i
\(134\) 4.87082 4.11398i 0.420775 0.355393i
\(135\) −2.32067 2.32067i −0.199731 0.199731i
\(136\) −12.7975 9.62437i −1.09737 0.825283i
\(137\) 7.85680 7.85680i 0.671252 0.671252i −0.286753 0.958005i \(-0.592576\pi\)
0.958005 + 0.286753i \(0.0925758\pi\)
\(138\) 0.230977 2.74201i 0.0196621 0.233415i
\(139\) −1.89606 0.785375i −0.160822 0.0666147i 0.300820 0.953681i \(-0.402740\pi\)
−0.461642 + 0.887066i \(0.652740\pi\)
\(140\) −2.71124 + 4.31706i −0.229142 + 0.364858i
\(141\) −6.67730 16.1204i −0.562330 1.35759i
\(142\) 4.98401 + 2.57410i 0.418249 + 0.216013i
\(143\) 2.49832i 0.208920i
\(144\) −5.87844 12.1928i −0.489870 1.01606i
\(145\) 0.630977i 0.0523998i
\(146\) −2.94133 + 5.69507i −0.243427 + 0.471327i
\(147\) −6.21942 15.0150i −0.512970 1.23842i
\(148\) −1.47070 6.43692i −0.120891 0.529112i
\(149\) 16.7487 + 6.93753i 1.37211 + 0.568345i 0.942358 0.334605i \(-0.108603\pi\)
0.429747 + 0.902950i \(0.358603\pi\)
\(150\) 22.9448 + 1.93279i 1.87344 + 0.157812i
\(151\) −8.75976 + 8.75976i −0.712860 + 0.712860i −0.967132 0.254273i \(-0.918164\pi\)
0.254273 + 0.967132i \(0.418164\pi\)
\(152\) 10.6050 + 2.73180i 0.860181 + 0.221579i
\(153\) 13.5465 + 13.5465i 1.09517 + 1.09517i
\(154\) 1.71775 + 2.03377i 0.138421 + 0.163886i
\(155\) −12.2747 + 29.6338i −0.985930 + 2.38025i
\(156\) 4.98209 + 0.845347i 0.398887 + 0.0676819i
\(157\) 4.11986 1.70650i 0.328801 0.136194i −0.212176 0.977232i \(-0.568055\pi\)
0.540976 + 0.841038i \(0.318055\pi\)
\(158\) −4.87121 15.2774i −0.387533 1.21540i
\(159\) 22.1978 1.76040
\(160\) 17.4719 + 7.80649i 1.38128 + 0.617157i
\(161\) 0.580242 0.0457294
\(162\) −3.30832 10.3757i −0.259926 0.815194i
\(163\) 11.3095 4.68456i 0.885830 0.366923i 0.107075 0.994251i \(-0.465852\pi\)
0.778755 + 0.627328i \(0.215852\pi\)
\(164\) −1.77145 + 10.4401i −0.138327 + 0.815238i
\(165\) 8.17190 19.7287i 0.636182 1.53588i
\(166\) 0.224667 + 0.265999i 0.0174375 + 0.0206455i
\(167\) 2.08232 + 2.08232i 0.161135 + 0.161135i 0.783069 0.621934i \(-0.213653\pi\)
−0.621934 + 0.783069i \(0.713653\pi\)
\(168\) 4.63693 2.73735i 0.357747 0.211191i
\(169\) −0.707107 + 0.707107i −0.0543928 + 0.0543928i
\(170\) −26.9890 2.27346i −2.06996 0.174366i
\(171\) −12.1048 5.01399i −0.925680 0.383429i
\(172\) 20.8765 4.76984i 1.59182 0.363697i
\(173\) −7.30134 17.6270i −0.555111 1.34016i −0.913597 0.406621i \(-0.866707\pi\)
0.358486 0.933535i \(-0.383293\pi\)
\(174\) 0.305834 0.592161i 0.0231852 0.0448916i
\(175\) 4.85540i 0.367034i
\(176\) 6.65566 7.45438i 0.501689 0.561895i
\(177\) 33.0040i 2.48073i
\(178\) −21.3073 11.0046i −1.59705 0.824829i
\(179\) −9.66396 23.3309i −0.722318 1.74383i −0.666638 0.745382i \(-0.732267\pi\)
−0.0556802 0.998449i \(-0.517733\pi\)
\(180\) −19.3887 12.1767i −1.44515 0.907598i
\(181\) −20.6480 8.55269i −1.53476 0.635716i −0.554275 0.832334i \(-0.687004\pi\)
−0.980480 + 0.196617i \(0.937004\pi\)
\(182\) −0.0894428 + 1.06180i −0.00662994 + 0.0787062i
\(183\) 14.0710 14.0710i 1.04016 1.04016i
\(184\) −0.305207 2.15667i −0.0225002 0.158991i
\(185\) −7.89720 7.89720i −0.580614 0.580614i
\(186\) 25.8831 21.8613i 1.89784 1.60295i
\(187\) −5.41258 + 13.0671i −0.395807 + 0.955563i
\(188\) −7.99493 11.2625i −0.583090 0.821400i
\(189\) −0.675334 + 0.279733i −0.0491233 + 0.0203475i
\(190\) 17.6481 5.62712i 1.28033 0.408234i
\(191\) 13.7153 0.992405 0.496202 0.868207i \(-0.334727\pi\)
0.496202 + 0.868207i \(0.334727\pi\)
\(192\) −12.6133 15.7949i −0.910288 1.13990i
\(193\) −2.67591 −0.192616 −0.0963080 0.995352i \(-0.530703\pi\)
−0.0963080 + 0.995352i \(0.530703\pi\)
\(194\) −10.8052 + 3.44524i −0.775766 + 0.247354i
\(195\) 7.89679 3.27096i 0.565501 0.234238i
\(196\) −7.44670 10.4902i −0.531907 0.749298i
\(197\) −6.46905 + 15.6177i −0.460901 + 1.11271i 0.507127 + 0.861871i \(0.330708\pi\)
−0.968028 + 0.250842i \(0.919292\pi\)
\(198\) −9.13403 + 7.71475i −0.649128 + 0.548263i
\(199\) 7.09858 + 7.09858i 0.503205 + 0.503205i 0.912433 0.409227i \(-0.134202\pi\)
−0.409227 + 0.912433i \(0.634202\pi\)
\(200\) 18.0468 2.55394i 1.27610 0.180591i
\(201\) −8.05460 + 8.05460i −0.568128 + 0.568128i
\(202\) 0.814322 9.66709i 0.0572955 0.680174i
\(203\) 0.129839 + 0.0537810i 0.00911289 + 0.00377468i
\(204\) 24.2268 + 15.2151i 1.69621 + 1.06527i
\(205\) 6.85441 + 16.5480i 0.478732 + 1.15576i
\(206\) 9.37840 + 4.84367i 0.653424 + 0.337475i
\(207\) 2.60597i 0.181128i
\(208\) 3.99361 0.226065i 0.276907 0.0156748i
\(209\) 9.67310i 0.669102i
\(210\) 4.17943 8.09229i 0.288408 0.558421i
\(211\) 0.615874 + 1.48685i 0.0423985 + 0.102359i 0.943660 0.330916i \(-0.107358\pi\)
−0.901262 + 0.433275i \(0.857358\pi\)
\(212\) 17.1295 3.91373i 1.17646 0.268796i
\(213\) −9.25910 3.83524i −0.634423 0.262787i
\(214\) 19.2751 + 1.62366i 1.31762 + 0.110991i
\(215\) 25.6126 25.6126i 1.74676 1.74676i
\(216\) 1.39495 + 2.36297i 0.0949142 + 0.160780i
\(217\) 5.05164 + 5.05164i 0.342928 + 0.342928i
\(218\) 11.9888 + 14.1944i 0.811983 + 0.961363i
\(219\) 4.38241 10.5801i 0.296136 0.714935i
\(220\) 2.82766 16.6650i 0.190641 1.12355i
\(221\) −5.23037 + 2.16649i −0.351833 + 0.145734i
\(222\) 3.58362 + 11.2391i 0.240517 + 0.754322i
\(223\) −14.1076 −0.944718 −0.472359 0.881406i \(-0.656597\pi\)
−0.472359 + 0.881406i \(0.656597\pi\)
\(224\) 3.09558 2.92989i 0.206832 0.195761i
\(225\) −21.8065 −1.45377
\(226\) −5.49419 17.2312i −0.365468 1.14620i
\(227\) 12.1965 5.05196i 0.809510 0.335310i 0.0607516 0.998153i \(-0.480650\pi\)
0.748759 + 0.662843i \(0.230650\pi\)
\(228\) −19.2899 3.27305i −1.27750 0.216763i
\(229\) −3.42798 + 8.27586i −0.226527 + 0.546885i −0.995750 0.0920957i \(-0.970643\pi\)
0.769223 + 0.638980i \(0.220643\pi\)
\(230\) −2.37729 2.81464i −0.156754 0.185592i
\(231\) −3.36313 3.36313i −0.221278 0.221278i
\(232\) 0.131600 0.510879i 0.00863996 0.0335408i
\(233\) 19.2925 19.2925i 1.26389 1.26389i 0.314702 0.949191i \(-0.398095\pi\)
0.949191 0.314702i \(-0.101905\pi\)
\(234\) −4.76876 0.401704i −0.311744 0.0262602i
\(235\) −21.5835 8.94018i −1.40795 0.583193i
\(236\) 5.81897 + 25.4684i 0.378783 + 1.65785i
\(237\) 10.9633 + 26.4679i 0.712146 + 1.71927i
\(238\) −2.76821 + 5.35985i −0.179436 + 0.347428i
\(239\) 1.71810i 0.111135i −0.998455 0.0555673i \(-0.982303\pi\)
0.998455 0.0555673i \(-0.0176967\pi\)
\(240\) −32.2761 11.2777i −2.08342 0.727974i
\(241\) 0.676452i 0.0435741i 0.999763 + 0.0217871i \(0.00693559\pi\)
−0.999763 + 0.0217871i \(0.993064\pi\)
\(242\) 5.97904 + 3.08800i 0.384348 + 0.198504i
\(243\) 8.55962 + 20.6647i 0.549100 + 1.32564i
\(244\) 8.37736 13.3391i 0.536306 0.853949i
\(245\) −20.1035 8.32713i −1.28436 0.532001i
\(246\) 1.58805 18.8523i 0.101251 1.20198i
\(247\) 2.73780 2.73780i 0.174202 0.174202i
\(248\) 16.1190 21.4333i 1.02356 1.36102i
\(249\) −0.439867 0.439867i −0.0278754 0.0278754i
\(250\) 5.27796 4.45785i 0.333807 0.281939i
\(251\) −9.27095 + 22.3820i −0.585177 + 1.41274i 0.302889 + 0.953026i \(0.402049\pi\)
−0.888066 + 0.459716i \(0.847951\pi\)
\(252\) −4.15823 + 2.95182i −0.261944 + 0.185947i
\(253\) −1.77749 + 0.736260i −0.111750 + 0.0462883i
\(254\) 0.877689 0.279853i 0.0550711 0.0175595i
\(255\) 48.3896 3.03028
\(256\) −12.5182 9.96466i −0.782388 0.622791i
\(257\) 11.3367 0.707164 0.353582 0.935403i \(-0.384963\pi\)
0.353582 + 0.935403i \(0.384963\pi\)
\(258\) −36.4513 + 11.6226i −2.26936 + 0.723589i
\(259\) −2.29815 + 0.951925i −0.142800 + 0.0591497i
\(260\) 5.51706 3.91642i 0.342154 0.242886i
\(261\) −0.241540 + 0.583130i −0.0149510 + 0.0360948i
\(262\) 16.0996 13.5980i 0.994639 0.840088i
\(263\) −19.2135 19.2135i −1.18476 1.18476i −0.978498 0.206258i \(-0.933871\pi\)
−0.206258 0.978498i \(-0.566129\pi\)
\(264\) −10.7312 + 14.2692i −0.660460 + 0.878210i
\(265\) 21.0155 21.0155i 1.29097 1.29097i
\(266\) 0.346308 4.11114i 0.0212335 0.252070i
\(267\) 39.5838 + 16.3962i 2.42249 + 1.00343i
\(268\) −4.79543 + 7.63566i −0.292927 + 0.466422i
\(269\) −0.521884 1.25994i −0.0318198 0.0768198i 0.907171 0.420762i \(-0.138237\pi\)
−0.938991 + 0.343943i \(0.888237\pi\)
\(270\) 4.12382 + 2.12983i 0.250967 + 0.129617i
\(271\) 14.1474i 0.859391i 0.902974 + 0.429695i \(0.141379\pi\)
−0.902974 + 0.429695i \(0.858621\pi\)
\(272\) 21.3778 + 7.46970i 1.29622 + 0.452917i
\(273\) 1.90375i 0.115220i
\(274\) −7.21070 + 13.9615i −0.435614 + 0.843444i
\(275\) −6.16095 14.8738i −0.371519 0.896927i
\(276\) 0.866791 + 3.79376i 0.0521747 + 0.228357i
\(277\) 8.87659 + 3.67681i 0.533343 + 0.220918i 0.633067 0.774097i \(-0.281796\pi\)
−0.0997238 + 0.995015i \(0.531796\pi\)
\(278\) 2.89213 + 0.243623i 0.173458 + 0.0146115i
\(279\) −22.6878 + 22.6878i −1.35829 + 1.35829i
\(280\) 1.79840 6.98151i 0.107475 0.417225i
\(281\) −3.28903 3.28903i −0.196207 0.196207i 0.602165 0.798372i \(-0.294305\pi\)
−0.798372 + 0.602165i \(0.794305\pi\)
\(282\) 15.9224 + 18.8517i 0.948167 + 1.12260i
\(283\) −0.260958 + 0.630008i −0.0155123 + 0.0374501i −0.931446 0.363880i \(-0.881452\pi\)
0.915934 + 0.401330i \(0.131452\pi\)
\(284\) −7.82122 1.32708i −0.464104 0.0787478i
\(285\) −30.5751 + 12.6646i −1.81111 + 0.750188i
\(286\) −1.07331 3.36618i −0.0634664 0.199047i
\(287\) 3.98938 0.235486
\(288\) 13.1587 + 13.9028i 0.775382 + 0.819232i
\(289\) −15.0504 −0.885320
\(290\) −0.271077 0.850166i −0.0159182 0.0499235i
\(291\) 18.7198 7.75401i 1.09738 0.454548i
\(292\) 1.51641 8.93705i 0.0887414 0.523001i
\(293\) −10.5592 + 25.4922i −0.616876 + 1.48927i 0.238436 + 0.971158i \(0.423365\pi\)
−0.855312 + 0.518113i \(0.826635\pi\)
\(294\) 14.8306 + 17.5590i 0.864938 + 1.02406i
\(295\) 31.2461 + 31.2461i 1.81922 + 1.81922i
\(296\) 4.74698 + 8.04114i 0.275913 + 0.467382i
\(297\) 1.71384 1.71384i 0.0994473 0.0994473i
\(298\) −25.5473 2.15202i −1.47991 0.124663i
\(299\) −0.711474 0.294702i −0.0411456 0.0170431i
\(300\) −31.7458 + 7.25322i −1.83284 + 0.418765i
\(301\) −3.08733 7.45347i −0.177951 0.429611i
\(302\) 8.03941 15.5660i 0.462616 0.895725i
\(303\) 17.3325i 0.995727i
\(304\) −15.4626 + 0.875290i −0.886841 + 0.0502013i
\(305\) 26.6431i 1.52558i
\(306\) −24.0721 12.4325i −1.37611 0.710721i
\(307\) −0.00306307 0.00739491i −0.000174819 0.000422050i 0.923792 0.382894i \(-0.125073\pi\)
−0.923967 + 0.382472i \(0.875073\pi\)
\(308\) −3.18820 2.00229i −0.181665 0.114091i
\(309\) −17.4228 7.21677i −0.991150 0.410548i
\(310\) 3.80761 45.2014i 0.216258 2.56727i
\(311\) −14.6030 + 14.6030i −0.828061 + 0.828061i −0.987248 0.159187i \(-0.949113\pi\)
0.159187 + 0.987248i \(0.449113\pi\)
\(312\) −7.07594 + 1.00137i −0.400596 + 0.0566917i
\(313\) −14.2634 14.2634i −0.806216 0.806216i 0.177843 0.984059i \(-0.443088\pi\)
−0.984059 + 0.177843i \(0.943088\pi\)
\(314\) −4.81788 + 4.06926i −0.271889 + 0.229642i
\(315\) −3.30081 + 7.96887i −0.185980 + 0.448995i
\(316\) 13.1267 + 18.4917i 0.738437 + 1.04024i
\(317\) −18.1673 + 7.52513i −1.02038 + 0.422653i −0.829229 0.558908i \(-0.811220\pi\)
−0.191146 + 0.981562i \(0.561220\pi\)
\(318\) −29.9089 + 9.53650i −1.67721 + 0.534780i
\(319\) −0.465985 −0.0260901
\(320\) −26.8951 3.01211i −1.50348 0.168382i
\(321\) −34.5590 −1.92890
\(322\) −0.781806 + 0.249280i −0.0435683 + 0.0138918i
\(323\) 20.2512 8.38830i 1.12680 0.466738i
\(324\) 8.91512 + 12.5587i 0.495284 + 0.697708i
\(325\) 2.46604 5.95354i 0.136791 0.330243i
\(326\) −13.2257 + 11.1706i −0.732502 + 0.618683i
\(327\) −23.4724 23.4724i −1.29803 1.29803i
\(328\) −2.09841 14.8279i −0.115866 0.818733i
\(329\) −3.67931 + 3.67931i −0.202847 + 0.202847i
\(330\) −2.53492 + 30.0928i −0.139543 + 1.65656i
\(331\) −2.60954 1.08091i −0.143433 0.0594120i 0.309812 0.950798i \(-0.399734\pi\)
−0.453245 + 0.891386i \(0.649734\pi\)
\(332\) −0.416988 0.261881i −0.0228852 0.0143726i
\(333\) −4.27527 10.3214i −0.234283 0.565610i
\(334\) −3.70027 1.91108i −0.202470 0.104570i
\(335\) 15.2512i 0.833262i
\(336\) −5.07170 + 5.68034i −0.276684 + 0.309888i
\(337\) 8.26672i 0.450317i −0.974322 0.225158i \(-0.927710\pi\)
0.974322 0.225158i \(-0.0722900\pi\)
\(338\) 0.648958 1.25652i 0.0352987 0.0683459i
\(339\) 12.3655 + 29.8529i 0.671600 + 1.62139i
\(340\) 37.3411 8.53164i 2.02511 0.462693i
\(341\) −21.8849 9.06504i −1.18514 0.490899i
\(342\) 18.4639 + 1.55533i 0.998413 + 0.0841028i
\(343\) −7.15649 + 7.15649i −0.386414 + 0.386414i
\(344\) −26.0794 + 15.3956i −1.40611 + 0.830077i
\(345\) 4.65440 + 4.65440i 0.250585 + 0.250585i
\(346\) 17.4105 + 20.6135i 0.935993 + 1.10819i
\(347\) 6.55848 15.8336i 0.352078 0.849991i −0.644286 0.764785i \(-0.722845\pi\)
0.996363 0.0852059i \(-0.0271548\pi\)
\(348\) −0.157674 + 0.929256i −0.00845219 + 0.0498134i
\(349\) −16.2826 + 6.74448i −0.871589 + 0.361024i −0.773229 0.634127i \(-0.781360\pi\)
−0.0983600 + 0.995151i \(0.531360\pi\)
\(350\) −2.08595 6.54207i −0.111499 0.349688i
\(351\) 0.970148 0.0517827
\(352\) −5.76519 + 12.9032i −0.307286 + 0.687745i
\(353\) 10.8516 0.577574 0.288787 0.957393i \(-0.406748\pi\)
0.288787 + 0.957393i \(0.406748\pi\)
\(354\) −14.1790 44.4688i −0.753604 2.36349i
\(355\) −12.3969 + 5.13497i −0.657960 + 0.272536i
\(356\) 33.4367 + 5.67345i 1.77214 + 0.300692i
\(357\) 4.12446 9.95733i 0.218290 0.526998i
\(358\) 23.0443 + 27.2837i 1.21793 + 1.44199i
\(359\) −23.4491 23.4491i −1.23760 1.23760i −0.960980 0.276616i \(-0.910787\pi\)
−0.276616 0.960980i \(-0.589213\pi\)
\(360\) 31.3552 + 8.07697i 1.65257 + 0.425694i
\(361\) 2.83468 2.83468i 0.149194 0.149194i
\(362\) 31.4951 + 2.65304i 1.65534 + 0.139441i
\(363\) −11.1076 4.60093i −0.582999 0.241486i
\(364\) −0.335653 1.46908i −0.0175930 0.0770007i
\(365\) −5.86756 14.1655i −0.307122 0.741459i
\(366\) −12.9138 + 25.0040i −0.675018 + 1.30698i
\(367\) 9.65096i 0.503776i 0.967756 + 0.251888i \(0.0810515\pi\)
−0.967756 + 0.251888i \(0.918949\pi\)
\(368\) 1.33776 + 2.77473i 0.0697358 + 0.144643i
\(369\) 17.9170i 0.932723i
\(370\) 14.0333 + 7.24778i 0.729555 + 0.376794i
\(371\) −2.53320 6.11569i −0.131517 0.317511i
\(372\) −25.4824 + 40.5752i −1.32120 + 2.10372i
\(373\) 12.1200 + 5.02025i 0.627548 + 0.259939i 0.673711 0.738995i \(-0.264699\pi\)
−0.0461631 + 0.998934i \(0.514699\pi\)
\(374\) 1.67898 19.9317i 0.0868179 1.03064i
\(375\) −8.72786 + 8.72786i −0.450705 + 0.450705i
\(376\) 15.6107 + 11.7401i 0.805062 + 0.605449i
\(377\) −0.131889 0.131889i −0.00679263 0.00679263i
\(378\) 0.789754 0.667039i 0.0406206 0.0343088i
\(379\) 8.20483 19.8082i 0.421454 1.01748i −0.560465 0.828178i \(-0.689378\pi\)
0.981919 0.189301i \(-0.0606223\pi\)
\(380\) −21.3612 + 15.1637i −1.09581 + 0.777883i
\(381\) −1.52059 + 0.629848i −0.0779021 + 0.0322681i
\(382\) −18.4797 + 5.89229i −0.945505 + 0.301476i
\(383\) 22.9919 1.17483 0.587414 0.809286i \(-0.300146\pi\)
0.587414 + 0.809286i \(0.300146\pi\)
\(384\) 23.7806 + 15.8628i 1.21355 + 0.809497i
\(385\) −6.36800 −0.324544
\(386\) 3.60546 1.14961i 0.183513 0.0585135i
\(387\) 33.4749 13.8658i 1.70162 0.704836i
\(388\) 13.0785 9.28410i 0.663962 0.471329i
\(389\) 6.59839 15.9299i 0.334552 0.807679i −0.663667 0.748028i \(-0.731001\pi\)
0.998219 0.0596517i \(-0.0189990\pi\)
\(390\) −9.23473 + 7.79980i −0.467619 + 0.394958i
\(391\) −3.08280 3.08280i −0.155904 0.155904i
\(392\) 14.5403 + 10.9350i 0.734394 + 0.552303i
\(393\) −26.6230 + 26.6230i −1.34295 + 1.34295i
\(394\) 2.00669 23.8221i 0.101096 1.20014i
\(395\) 35.4376 + 14.6787i 1.78306 + 0.738566i
\(396\) 8.99264 14.3188i 0.451897 0.719547i
\(397\) 14.8643 + 35.8855i 0.746017 + 1.80104i 0.579440 + 0.815015i \(0.303271\pi\)
0.166577 + 0.986028i \(0.446729\pi\)
\(398\) −12.6141 6.51483i −0.632290 0.326559i
\(399\) 7.37103i 0.369013i
\(400\) −23.2186 + 11.1943i −1.16093 + 0.559714i
\(401\) 38.7235i 1.93376i −0.255229 0.966881i \(-0.582151\pi\)
0.255229 0.966881i \(-0.417849\pi\)
\(402\) 7.39223 14.3130i 0.368691 0.713866i
\(403\) −3.62845 8.75986i −0.180746 0.436360i
\(404\) 3.05592 + 13.3751i 0.152038 + 0.665435i
\(405\) 24.0677 + 9.96916i 1.19593 + 0.495371i
\(406\) −0.198047 0.0166828i −0.00982891 0.000827954i
\(407\) 5.83218 5.83218i 0.289090 0.289090i
\(408\) −39.1793 10.0924i −1.93966 0.499648i
\(409\) −12.0123 12.0123i −0.593969 0.593969i 0.344732 0.938701i \(-0.387970\pi\)
−0.938701 + 0.344732i \(0.887970\pi\)
\(410\) −16.3447 19.3517i −0.807209 0.955712i
\(411\) 10.7435 25.9371i 0.529938 1.27938i
\(412\) −14.7172 2.49717i −0.725063 0.123027i
\(413\) 9.09287 3.76639i 0.447431 0.185332i
\(414\) −1.11956 3.51123i −0.0550235 0.172568i
\(415\) −0.832877 −0.0408843
\(416\) −5.28378 + 2.02031i −0.259059 + 0.0990537i
\(417\) −5.18541 −0.253930
\(418\) 4.15570 + 13.0333i 0.203262 + 0.637481i
\(419\) −9.87192 + 4.08908i −0.482275 + 0.199765i −0.610556 0.791973i \(-0.709054\pi\)
0.128281 + 0.991738i \(0.459054\pi\)
\(420\) −2.15472 + 12.6989i −0.105139 + 0.619644i
\(421\) 5.24571 12.6643i 0.255660 0.617219i −0.742982 0.669312i \(-0.766589\pi\)
0.998642 + 0.0520927i \(0.0165891\pi\)
\(422\) −1.46859 1.73876i −0.0714898 0.0846417i
\(423\) −16.5245 16.5245i −0.803447 0.803447i
\(424\) −21.3986 + 12.6324i −1.03921 + 0.613482i
\(425\) 25.7966 25.7966i 1.25132 1.25132i
\(426\) 14.1232 + 1.18969i 0.684271 + 0.0576406i
\(427\) −5.48244 2.27090i −0.265314 0.109897i
\(428\) −26.6684 + 6.09315i −1.28906 + 0.294523i
\(429\) 2.41564 + 5.83188i 0.116628 + 0.281566i
\(430\) −23.5063 + 45.5134i −1.13358 + 2.19485i
\(431\) 10.7286i 0.516777i 0.966041 + 0.258389i \(0.0831915\pi\)
−0.966041 + 0.258389i \(0.916809\pi\)
\(432\) −2.89469 2.58453i −0.139271 0.124348i
\(433\) 30.8828i 1.48413i −0.670327 0.742066i \(-0.733846\pi\)
0.670327 0.742066i \(-0.266154\pi\)
\(434\) −8.97673 4.63622i −0.430897 0.222546i
\(435\) 0.610097 + 1.47290i 0.0292519 + 0.0706204i
\(436\) −22.2515 13.9746i −1.06566 0.669264i
\(437\) 2.75471 + 1.14104i 0.131776 + 0.0545833i
\(438\) −1.35942 + 16.1381i −0.0649555 + 0.771109i
\(439\) 27.9669 27.9669i 1.33479 1.33479i 0.433760 0.901028i \(-0.357187\pi\)
0.901028 0.433760i \(-0.142813\pi\)
\(440\) 3.34957 + 23.6689i 0.159685 + 1.12837i
\(441\) −15.3913 15.3913i −0.732921 0.732921i
\(442\) 6.11654 5.16612i 0.290934 0.245728i
\(443\) 14.8919 35.9523i 0.707536 1.70814i 0.00146915 0.999999i \(-0.499532\pi\)
0.706067 0.708145i \(-0.250468\pi\)
\(444\) −9.65699 13.6038i −0.458300 0.645608i
\(445\) 52.9984 21.9527i 2.51237 1.04066i
\(446\) 19.0083 6.06084i 0.900071 0.286989i
\(447\) 45.8047 2.16649
\(448\) −2.91220 + 5.27758i −0.137589 + 0.249342i
\(449\) −4.39701 −0.207508 −0.103754 0.994603i \(-0.533085\pi\)
−0.103754 + 0.994603i \(0.533085\pi\)
\(450\) 29.3816 9.36838i 1.38506 0.441630i
\(451\) −12.2209 + 5.06206i −0.575460 + 0.238363i
\(452\) 14.8055 + 20.8566i 0.696394 + 0.981011i
\(453\) −11.9782 + 28.9180i −0.562786 + 1.35869i
\(454\) −14.2629 + 12.0467i −0.669392 + 0.565379i
\(455\) −1.80235 1.80235i −0.0844957 0.0844957i
\(456\) 27.3969 3.87716i 1.28298 0.181565i
\(457\) −19.0391 + 19.0391i −0.890610 + 0.890610i −0.994580 0.103970i \(-0.966845\pi\)
0.103970 + 0.994580i \(0.466845\pi\)
\(458\) 1.06335 12.6234i 0.0496873 0.589854i
\(459\) 5.07423 + 2.10182i 0.236845 + 0.0981044i
\(460\) 4.41232 + 2.77107i 0.205725 + 0.129202i
\(461\) −3.73508 9.01729i −0.173960 0.419977i 0.812719 0.582656i \(-0.197986\pi\)
−0.986679 + 0.162679i \(0.947986\pi\)
\(462\) 5.97626 + 3.08656i 0.278041 + 0.143600i
\(463\) 9.43856i 0.438647i −0.975652 0.219323i \(-0.929615\pi\)
0.975652 0.219323i \(-0.0703850\pi\)
\(464\) 0.0421656 + 0.744885i 0.00195749 + 0.0345804i
\(465\) 81.0434i 3.75830i
\(466\) −17.7060 + 34.2826i −0.820213 + 1.58811i
\(467\) −5.34491 12.9038i −0.247333 0.597115i 0.750643 0.660708i \(-0.229744\pi\)
−0.997976 + 0.0635935i \(0.979744\pi\)
\(468\) 6.59791 1.50748i 0.304988 0.0696833i
\(469\) 3.13830 + 1.29993i 0.144913 + 0.0600250i
\(470\) 32.9220 + 2.77323i 1.51858 + 0.127920i
\(471\) 7.96705 7.96705i 0.367102 0.367102i
\(472\) −18.7819 31.8156i −0.864509 1.46443i
\(473\) 18.9152 + 18.9152i 0.869722 + 0.869722i
\(474\) −26.1428 30.9522i −1.20078 1.42168i
\(475\) −9.54810 + 23.0512i −0.438097 + 1.05766i
\(476\) 1.42716 8.41102i 0.0654137 0.385518i
\(477\) 27.4667 11.3771i 1.25761 0.520920i
\(478\) 0.738120 + 2.31493i 0.0337608 + 0.105883i
\(479\) 16.6325 0.759960 0.379980 0.924995i \(-0.375931\pi\)
0.379980 + 0.924995i \(0.375931\pi\)
\(480\) 48.3333 + 1.32910i 2.20610 + 0.0606647i
\(481\) 3.30140 0.150531
\(482\) −0.290614 0.911438i −0.0132371 0.0415149i
\(483\) 1.35447 0.561040i 0.0616305 0.0255282i
\(484\) −9.38269 1.59203i −0.426486 0.0723649i
\(485\) 10.3818 25.0638i 0.471412 1.13809i
\(486\) −20.4109 24.1659i −0.925858 1.09619i
\(487\) −16.4327 16.4327i −0.744637 0.744637i 0.228829 0.973467i \(-0.426510\pi\)
−0.973467 + 0.228829i \(0.926510\pi\)
\(488\) −5.55681 + 21.5719i −0.251545 + 0.976513i
\(489\) 21.8705 21.8705i 0.989019 0.989019i
\(490\) 30.6644 + 2.58307i 1.38528 + 0.116691i
\(491\) −0.713027 0.295346i −0.0321785 0.0133288i 0.366536 0.930404i \(-0.380544\pi\)
−0.398715 + 0.917075i \(0.630544\pi\)
\(492\) 5.95951 + 26.0835i 0.268676 + 1.17593i
\(493\) −0.404092 0.975565i −0.0181994 0.0439372i
\(494\) −2.51266 + 4.86506i −0.113050 + 0.218889i
\(495\) 28.5999i 1.28547i
\(496\) −12.5103 + 35.8037i −0.561730 + 1.60763i
\(497\) 2.98864i 0.134059i
\(498\) 0.781640 + 0.403694i 0.0350261 + 0.0180900i
\(499\) 0.219821 + 0.530694i 0.00984052 + 0.0237571i 0.928723 0.370773i \(-0.120907\pi\)
−0.918883 + 0.394530i \(0.870907\pi\)
\(500\) −5.19626 + 8.27390i −0.232384 + 0.370020i
\(501\) 6.87422 + 2.84739i 0.307117 + 0.127212i
\(502\) 2.87584 34.1400i 0.128355 1.52374i
\(503\) −4.17797 + 4.17797i −0.186287 + 0.186287i −0.794089 0.607802i \(-0.792051\pi\)
0.607802 + 0.794089i \(0.292051\pi\)
\(504\) 4.33457 5.76366i 0.193077 0.256734i
\(505\) 16.4093 + 16.4093i 0.730206 + 0.730206i
\(506\) 2.07865 1.75566i 0.0924070 0.0780485i
\(507\) −0.966908 + 2.33432i −0.0429419 + 0.103671i
\(508\) −1.06235 + 0.754136i −0.0471342 + 0.0334594i
\(509\) −18.5398 + 7.67943i −0.821762 + 0.340385i −0.753636 0.657292i \(-0.771702\pi\)
−0.0681255 + 0.997677i \(0.521702\pi\)
\(510\) −65.1992 + 20.7889i −2.88707 + 0.920547i
\(511\) −3.41502 −0.151071
\(512\) 21.1477 + 8.04818i 0.934607 + 0.355683i
\(513\) −3.75626 −0.165843
\(514\) −15.2748 + 4.87041i −0.673745 + 0.214825i
\(515\) −23.3273 + 9.66246i −1.02792 + 0.425779i
\(516\) 44.1205 31.3200i 1.94230 1.37879i
\(517\) 6.60243 15.9397i 0.290375 0.701026i
\(518\) 2.68752 2.26992i 0.118083 0.0997346i
\(519\) −34.0873 34.0873i −1.49627 1.49627i
\(520\) −5.75103 + 7.64711i −0.252199 + 0.335348i
\(521\) −7.06915 + 7.06915i −0.309705 + 0.309705i −0.844795 0.535090i \(-0.820278\pi\)
0.535090 + 0.844795i \(0.320278\pi\)
\(522\) 0.0749255 0.889466i 0.00327940 0.0389309i
\(523\) −14.2455 5.90068i −0.622913 0.258019i 0.0488258 0.998807i \(-0.484452\pi\)
−0.671738 + 0.740788i \(0.734452\pi\)
\(524\) −15.8504 + 25.2383i −0.692429 + 1.10254i
\(525\) 4.69472 + 11.3341i 0.204895 + 0.494659i
\(526\) 34.1423 + 17.6335i 1.48867 + 0.768857i
\(527\) 53.6783i 2.33826i
\(528\) 8.32875 23.8363i 0.362462 1.03734i
\(529\) 22.4070i 0.974215i
\(530\) −19.2873 + 37.3444i −0.837787 + 1.62214i
\(531\) 16.9156 + 40.8378i 0.734073 + 1.77221i
\(532\) 1.29960 + 5.68804i 0.0563446 + 0.246608i
\(533\) −4.89165 2.02619i −0.211881 0.0877639i
\(534\) −60.3785 5.08607i −2.61283 0.220096i
\(535\) −32.7183 + 32.7183i −1.41454 + 1.41454i
\(536\) 3.18087 12.3483i 0.137393 0.533366i
\(537\) −45.1176 45.1176i −1.94697 1.94697i
\(538\) 1.24446 + 1.47341i 0.0536526 + 0.0635231i
\(539\) 6.14969 14.8467i 0.264886 0.639491i
\(540\) −6.47135 1.09804i −0.278483 0.0472521i
\(541\) −32.7816 + 13.5786i −1.40939 + 0.583788i −0.952171 0.305566i \(-0.901154\pi\)
−0.457218 + 0.889354i \(0.651154\pi\)
\(542\) −6.07791 19.0619i −0.261068 0.818777i
\(543\) −56.4688 −2.42331
\(544\) −32.0131 0.880315i −1.37255 0.0377432i
\(545\) −44.4444 −1.90379
\(546\) 0.817879 + 2.56508i 0.0350020 + 0.109775i
\(547\) −5.03570 + 2.08586i −0.215311 + 0.0891848i −0.487732 0.872993i \(-0.662176\pi\)
0.272421 + 0.962178i \(0.412176\pi\)
\(548\) 3.71750 21.9092i 0.158804 0.935916i
\(549\) 10.1990 24.6227i 0.435285 1.05087i
\(550\) 14.6912 + 17.3939i 0.626433 + 0.741678i
\(551\) 0.510653 + 0.510653i 0.0217546 + 0.0217546i
\(552\) −2.79775 4.73924i −0.119080 0.201716i
\(553\) 6.04099 6.04099i 0.256889 0.256889i
\(554\) −13.5397 1.14054i −0.575249 0.0484570i
\(555\) −26.0705 10.7987i −1.10663 0.458381i
\(556\) −4.00146 + 0.914246i −0.169699 + 0.0387727i
\(557\) −5.87867 14.1924i −0.249087 0.601349i 0.749040 0.662525i \(-0.230515\pi\)
−0.998127 + 0.0611754i \(0.980515\pi\)
\(558\) 20.8221 40.3161i 0.881470 1.70672i
\(559\) 10.7072i 0.452868i
\(560\) 0.576222 + 10.1794i 0.0243498 + 0.430157i
\(561\) 35.7364i 1.50879i
\(562\) 5.84459 + 3.01856i 0.246539 + 0.127330i
\(563\) 2.88449 + 6.96376i 0.121567 + 0.293488i 0.972934 0.231082i \(-0.0742264\pi\)
−0.851368 + 0.524569i \(0.824226\pi\)
\(564\) −29.5525 18.5599i −1.24439 0.781512i
\(565\) 39.9697 + 16.5560i 1.68154 + 0.696516i
\(566\) 0.0809489 0.960971i 0.00340253 0.0403926i
\(567\) 4.10278 4.10278i 0.172301 0.172301i
\(568\) 11.1083 1.57202i 0.466093 0.0659607i
\(569\) 11.7784 + 11.7784i 0.493778 + 0.493778i 0.909494 0.415717i \(-0.136469\pi\)
−0.415717 + 0.909494i \(0.636469\pi\)
\(570\) 35.7554 30.1996i 1.49763 1.26492i
\(571\) −0.600163 + 1.44892i −0.0251160 + 0.0606355i −0.935940 0.352160i \(-0.885447\pi\)
0.910824 + 0.412795i \(0.135447\pi\)
\(572\) 2.89232 + 4.07442i 0.120934 + 0.170360i
\(573\) 32.0159 13.2614i 1.33749 0.554004i
\(574\) −5.37521 + 1.71389i −0.224357 + 0.0715365i
\(575\) 4.96254 0.206952
\(576\) −23.7026 13.0792i −0.987607 0.544968i
\(577\) 41.9071 1.74462 0.872308 0.488956i \(-0.162622\pi\)
0.872308 + 0.488956i \(0.162622\pi\)
\(578\) 20.2787 6.46588i 0.843481 0.268945i
\(579\) −6.24643 + 2.58736i −0.259593 + 0.107527i
\(580\) 0.730487 + 1.02904i 0.0303318 + 0.0427285i
\(581\) −0.0709897 + 0.171384i −0.00294515 + 0.00711022i
\(582\) −21.8915 + 18.4899i −0.907431 + 0.766431i
\(583\) 15.5202 + 15.5202i 0.642782 + 0.642782i
\(584\) 1.79630 + 12.6931i 0.0743315 + 0.525243i
\(585\) 8.09471 8.09471i 0.334675 0.334675i
\(586\) 3.27546 38.8841i 0.135308 1.60629i
\(587\) 26.1601 + 10.8359i 1.07974 + 0.447245i 0.850420 0.526105i \(-0.176348\pi\)
0.229325 + 0.973350i \(0.426348\pi\)
\(588\) −27.5260 17.2872i −1.13515 0.712911i
\(589\) 14.0488 + 33.9168i 0.578871 + 1.39752i
\(590\) −55.5241 28.6766i −2.28589 1.18060i
\(591\) 42.7117i 1.75692i
\(592\) −9.85058 8.79510i −0.404856 0.361476i
\(593\) 19.1797i 0.787616i 0.919193 + 0.393808i \(0.128843\pi\)
−0.919193 + 0.393808i \(0.871157\pi\)
\(594\) −1.57291 + 3.04549i −0.0645371 + 0.124958i
\(595\) −5.52220 13.3318i −0.226388 0.546549i
\(596\) 35.3464 8.07590i 1.44785 0.330802i
\(597\) 23.4341 + 9.70670i 0.959092 + 0.397269i
\(598\) 1.08523 + 0.0914163i 0.0443785 + 0.00373829i
\(599\) −1.73017 + 1.73017i −0.0706930 + 0.0706930i −0.741569 0.670876i \(-0.765918\pi\)
0.670876 + 0.741569i \(0.265918\pi\)
\(600\) 39.6575 23.4113i 1.61901 0.955761i
\(601\) 10.7938 + 10.7938i 0.440287 + 0.440287i 0.892108 0.451821i \(-0.149226\pi\)
−0.451821 + 0.892108i \(0.649226\pi\)
\(602\) 7.36192 + 8.71629i 0.300049 + 0.355249i
\(603\) −5.83821 + 14.0947i −0.237750 + 0.573980i
\(604\) −4.14474 + 24.4272i −0.168647 + 0.993929i
\(605\) −14.8719 + 6.16014i −0.604629 + 0.250445i
\(606\) −7.44629 23.3535i −0.302485 0.948670i
\(607\) −35.2161 −1.42938 −0.714688 0.699443i \(-0.753431\pi\)
−0.714688 + 0.699443i \(0.753431\pi\)
\(608\) 20.4580 7.82230i 0.829680 0.317236i
\(609\) 0.355086 0.0143888
\(610\) 11.4462 + 35.8983i 0.463444 + 1.45348i
\(611\) 6.38016 2.64275i 0.258114 0.106914i
\(612\) 37.7754 + 6.40963i 1.52698 + 0.259094i
\(613\) −3.45809 + 8.34856i −0.139671 + 0.337195i −0.978201 0.207660i \(-0.933415\pi\)
0.838530 + 0.544855i \(0.183415\pi\)
\(614\) 0.00730407 + 0.00864781i 0.000294768 + 0.000348997i
\(615\) 32.0008 + 32.0008i 1.29040 + 1.29040i
\(616\) 5.15593 + 1.32814i 0.207738 + 0.0535125i
\(617\) −22.3416 + 22.3416i −0.899439 + 0.899439i −0.995386 0.0959474i \(-0.969412\pi\)
0.0959474 + 0.995386i \(0.469412\pi\)
\(618\) 26.5756 + 2.23864i 1.06903 + 0.0900511i
\(619\) −18.1479 7.51712i −0.729427 0.302139i −0.0131106 0.999914i \(-0.504173\pi\)
−0.716317 + 0.697775i \(0.754173\pi\)
\(620\) 14.2889 + 62.5392i 0.573855 + 2.51164i
\(621\) 0.285905 + 0.690235i 0.0114730 + 0.0276982i
\(622\) 13.4021 25.9495i 0.537377 1.04048i
\(623\) 12.7768i 0.511892i
\(624\) 9.10378 4.38916i 0.364443 0.175707i
\(625\) 15.6943i 0.627774i
\(626\) 25.3460 + 13.0905i 1.01303 + 0.523200i
\(627\) −9.35299 22.5801i −0.373522 0.901763i
\(628\) 4.74330 7.55267i 0.189278 0.301384i
\(629\) 17.2675 + 7.15244i 0.688501 + 0.285187i
\(630\) 1.02391 12.1552i 0.0407935 0.484273i
\(631\) 9.89145 9.89145i 0.393772 0.393772i −0.482257 0.876030i \(-0.660183\pi\)
0.876030 + 0.482257i \(0.160183\pi\)
\(632\) −25.6310 19.2758i −1.01955 0.766752i
\(633\) 2.87529 + 2.87529i 0.114283 + 0.114283i
\(634\) 21.2453 17.9441i 0.843759 0.712652i
\(635\) −0.843297 + 2.03590i −0.0334652 + 0.0807922i
\(636\) 36.2016 25.6986i 1.43549 1.01901i
\(637\) 5.94266 2.46153i 0.235457 0.0975293i
\(638\) 0.627858 0.200194i 0.0248571 0.00792574i
\(639\) −13.4225 −0.530987
\(640\) 37.5320 7.49608i 1.48358 0.296308i
\(641\) −40.9197 −1.61623 −0.808116 0.589023i \(-0.799513\pi\)
−0.808116 + 0.589023i \(0.799513\pi\)
\(642\) 46.5641 14.8470i 1.83774 0.585966i
\(643\) −5.77952 + 2.39395i −0.227922 + 0.0944084i −0.493722 0.869620i \(-0.664364\pi\)
0.265800 + 0.964028i \(0.414364\pi\)
\(644\) 0.946295 0.671750i 0.0372892 0.0264706i
\(645\) 35.0230 84.5529i 1.37903 3.32927i
\(646\) −23.6823 + 20.0024i −0.931766 + 0.786984i
\(647\) 1.11481 + 1.11481i 0.0438278 + 0.0438278i 0.728681 0.684853i \(-0.240134\pi\)
−0.684853 + 0.728681i \(0.740134\pi\)
\(648\) −17.4075 13.0913i −0.683830 0.514276i
\(649\) −23.0756 + 23.0756i −0.905798 + 0.905798i
\(650\) −0.764962 + 9.08112i −0.0300043 + 0.356191i
\(651\) 16.6766 + 6.90768i 0.653608 + 0.270733i
\(652\) 13.0209 20.7330i 0.509939 0.811966i
\(653\) 4.09045 + 9.87522i 0.160072 + 0.386447i 0.983484 0.180997i \(-0.0579324\pi\)
−0.823412 + 0.567444i \(0.807932\pi\)
\(654\) 41.7103 + 21.5421i 1.63100 + 0.842365i
\(655\) 50.4101i 1.96969i
\(656\) 9.19763 + 19.0773i 0.359107 + 0.744842i
\(657\) 15.3375i 0.598372i
\(658\) 3.37674 6.53811i 0.131639 0.254882i
\(659\) −15.6731 37.8382i −0.610538 1.47397i −0.862411 0.506208i \(-0.831047\pi\)
0.251874 0.967760i \(-0.418953\pi\)
\(660\) −9.51281 41.6355i −0.370286 1.62066i
\(661\) −28.5642 11.8317i −1.11102 0.460198i −0.249729 0.968316i \(-0.580342\pi\)
−0.861288 + 0.508118i \(0.830342\pi\)
\(662\) 3.98041 + 0.335296i 0.154703 + 0.0130317i
\(663\) −10.1146 + 10.1146i −0.392817 + 0.392817i
\(664\) 0.674349 + 0.173709i 0.0261698 + 0.00674123i
\(665\) 6.97843 + 6.97843i 0.270612 + 0.270612i
\(666\) 10.1946 + 12.0701i 0.395034 + 0.467709i
\(667\) 0.0549676 0.132704i 0.00212836 0.00513830i
\(668\) 5.80670 + 0.985264i 0.224668 + 0.0381210i
\(669\) −32.9318 + 13.6408i −1.27322 + 0.527383i
\(670\) −6.55213 20.5492i −0.253131 0.793883i
\(671\) 19.6762 0.759592
\(672\) 4.39315 9.83244i 0.169469 0.379295i
\(673\) 11.4897 0.442896 0.221448 0.975172i \(-0.428922\pi\)
0.221448 + 0.975172i \(0.428922\pi\)
\(674\) 3.55150 + 11.1384i 0.136799 + 0.429035i
\(675\) −5.77582 + 2.39242i −0.222311 + 0.0920844i
\(676\) −0.334572 + 1.97182i −0.0128682 + 0.0758391i
\(677\) −15.9473 + 38.5002i −0.612905 + 1.47968i 0.246889 + 0.969044i \(0.420592\pi\)
−0.859794 + 0.510641i \(0.829408\pi\)
\(678\) −29.4862 34.9108i −1.13241 1.34074i
\(679\) −4.27259 4.27259i −0.163967 0.163967i
\(680\) −46.6474 + 27.5376i −1.78884 + 1.05602i
\(681\) 23.5858 23.5858i 0.903809 0.903809i
\(682\) 33.3818 + 2.81197i 1.27825 + 0.107676i
\(683\) −24.2171 10.0311i −0.926643 0.383828i −0.132239 0.991218i \(-0.542217\pi\)
−0.794404 + 0.607390i \(0.792217\pi\)
\(684\) −25.5461 + 5.83672i −0.976778 + 0.223173i
\(685\) −14.3844 34.7269i −0.549598 1.32685i
\(686\) 6.56798 12.7170i 0.250767 0.485539i
\(687\) 22.6331i 0.863505i
\(688\) 28.5247 31.9478i 1.08749 1.21800i
\(689\) 8.78547i 0.334700i
\(690\) −8.27085 4.27165i −0.314866 0.162619i
\(691\) 3.00445 + 7.25338i 0.114295 + 0.275932i 0.970667 0.240427i \(-0.0772873\pi\)
−0.856373 + 0.516358i \(0.827287\pi\)
\(692\) −32.3144 20.2944i −1.22841 0.771478i
\(693\) −5.88511 2.43769i −0.223557 0.0926003i
\(694\) −2.03443 + 24.1515i −0.0772261 + 0.916777i
\(695\) −4.90922 + 4.90922i −0.186217 + 0.186217i
\(696\) −0.186776 1.31980i −0.00707971 0.0500269i
\(697\) −21.1954 21.1954i −0.802834 0.802834i
\(698\) 19.0414 16.0826i 0.720726 0.608736i
\(699\) 26.3808 63.6889i 0.997814 2.40894i
\(700\) 5.62113 + 7.91850i 0.212459 + 0.299291i
\(701\) −27.9966 + 11.5966i −1.05742 + 0.437997i −0.842534 0.538643i \(-0.818937\pi\)
−0.214883 + 0.976640i \(0.568937\pi\)
\(702\) −1.30716 + 0.416790i −0.0493355 + 0.0157307i
\(703\) −12.7825 −0.482101
\(704\) 2.22448 19.8624i 0.0838382 0.748592i
\(705\) −59.0271 −2.22309
\(706\) −14.6213 + 4.66201i −0.550278 + 0.175457i
\(707\) 4.77526 1.97798i 0.179592 0.0743894i
\(708\) 38.2089 + 53.8249i 1.43598 + 2.02286i
\(709\) 16.1114 38.8964i 0.605077 1.46079i −0.263218 0.964737i \(-0.584784\pi\)
0.868295 0.496049i \(-0.165216\pi\)
\(710\) 14.4973 12.2446i 0.544074 0.459533i
\(711\) 27.1312 + 27.1312i 1.01750 + 1.01750i
\(712\) −47.4894 + 6.72061i −1.77974 + 0.251865i
\(713\) 5.16310 5.16310i 0.193360 0.193360i
\(714\) −1.27940 + 15.1882i −0.0478805 + 0.568405i
\(715\) 7.80825 + 3.23428i 0.292012 + 0.120955i
\(716\) −42.7709 26.8614i −1.59842 1.00386i
\(717\) −1.66124 4.01060i −0.0620403 0.149778i
\(718\) 41.6689 + 21.5208i 1.55507 + 0.803148i
\(719\) 33.4215i 1.24641i 0.782057 + 0.623206i \(0.214170\pi\)
−0.782057 + 0.623206i \(0.785830\pi\)
\(720\) −45.7174 + 2.58792i −1.70379 + 0.0964460i
\(721\) 5.62371i 0.209438i
\(722\) −2.60158 + 5.03722i −0.0968206 + 0.187466i
\(723\) 0.654067 + 1.57906i 0.0243250 + 0.0587258i
\(724\) −43.5756 + 9.95609i −1.61947 + 0.370015i
\(725\) 1.11045 + 0.459963i 0.0412411 + 0.0170826i
\(726\) 16.9428 + 1.42720i 0.628807 + 0.0529685i
\(727\) 21.0677 21.0677i 0.781360 0.781360i −0.198701 0.980060i \(-0.563672\pi\)
0.980060 + 0.198701i \(0.0636722\pi\)
\(728\) 1.08339 + 1.83521i 0.0401531 + 0.0680173i
\(729\) 23.6262 + 23.6262i 0.875044 + 0.875044i
\(730\) 13.9916 + 16.5656i 0.517851 + 0.613120i
\(731\) −23.1971 + 56.0028i −0.857977 + 2.07134i
\(732\) 6.65777 39.2379i 0.246078 1.45027i
\(733\) 22.1766 9.18584i 0.819111 0.339287i 0.0665280 0.997785i \(-0.478808\pi\)
0.752583 + 0.658498i \(0.228808\pi\)
\(734\) −4.14619 13.0035i −0.153039 0.479968i
\(735\) −54.9795 −2.02795
\(736\) −2.99454 3.16389i −0.110380 0.116622i
\(737\) −11.2632 −0.414885
\(738\) −7.69741 24.1410i −0.283346 0.888644i
\(739\) −1.24544 + 0.515879i −0.0458144 + 0.0189769i −0.405473 0.914107i \(-0.632893\pi\)
0.359659 + 0.933084i \(0.382893\pi\)
\(740\) −22.0219 3.73661i −0.809541 0.137361i
\(741\) 3.74371 9.03812i 0.137529 0.332024i
\(742\) 6.04057 + 7.15185i 0.221756 + 0.262553i
\(743\) −8.22954 8.22954i −0.301913 0.301913i 0.539849 0.841762i \(-0.318481\pi\)
−0.841762 + 0.539849i \(0.818481\pi\)
\(744\) 16.9028 65.6178i 0.619688 2.40566i
\(745\) 43.3651 43.3651i 1.58877 1.58877i
\(746\) −18.4870 1.55728i −0.676855 0.0570160i
\(747\) −0.769719 0.318828i −0.0281625 0.0116653i
\(748\) 6.30073 + 27.5769i 0.230377 + 1.00831i
\(749\) 3.94385 + 9.52131i 0.144105 + 0.347901i
\(750\) 8.01012 15.5093i 0.292488 0.566321i
\(751\) 16.8215i 0.613824i −0.951738 0.306912i \(-0.900704\pi\)
0.951738 0.306912i \(-0.0992957\pi\)
\(752\) −26.0773 9.11177i −0.950941 0.332272i
\(753\) 61.2110i 2.23065i
\(754\) 0.234366 + 0.121043i 0.00853511 + 0.00440813i
\(755\) 16.0375 + 38.7180i 0.583665 + 1.40909i
\(756\) −0.777529 + 1.23804i −0.0282785 + 0.0450272i
\(757\) 44.4108 + 18.3956i 1.61414 + 0.668598i 0.993324 0.115359i \(-0.0368018\pi\)
0.620815 + 0.783957i \(0.286802\pi\)
\(758\) −2.54513 + 30.2141i −0.0924433 + 1.09743i
\(759\) −3.43734 + 3.43734i −0.124767 + 0.124767i
\(760\) 22.2671 29.6084i 0.807711 1.07401i
\(761\) −36.1011 36.1011i −1.30866 1.30866i −0.922380 0.386285i \(-0.873758\pi\)
−0.386285 0.922380i \(-0.626242\pi\)
\(762\) 1.77822 1.50191i 0.0644180 0.0544085i
\(763\) −3.78819 + 9.14550i −0.137142 + 0.331089i
\(764\) 22.3678 15.8783i 0.809238 0.574457i
\(765\) 59.8754 24.8012i 2.16480 0.896690i
\(766\) −30.9788 + 9.87763i −1.11931 + 0.356893i
\(767\) −13.0623 −0.471653
\(768\) −38.8564 11.1568i −1.40211 0.402585i
\(769\) −22.3397 −0.805591 −0.402796 0.915290i \(-0.631961\pi\)
−0.402796 + 0.915290i \(0.631961\pi\)