Properties

Label 273.2.bf.b.152.3
Level $273$
Weight $2$
Character 273.152
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [273,2,Mod(152,273)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(273, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 5, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("273.152");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bf (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: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 152.3
Character \(\chi\) \(=\) 273.152
Dual form 273.2.bf.b.185.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.07561 + 1.19835i) q^{2} +(-0.232998 - 1.71631i) q^{3} +(1.87210 - 3.24258i) q^{4} +(1.10064 - 1.90637i) q^{5} +(2.54036 + 3.28317i) q^{6} +(2.62075 - 0.362837i) q^{7} +4.18035i q^{8} +(-2.89142 + 0.799793i) q^{9} +O(q^{10})\) \(q+(-2.07561 + 1.19835i) q^{2} +(-0.232998 - 1.71631i) q^{3} +(1.87210 - 3.24258i) q^{4} +(1.10064 - 1.90637i) q^{5} +(2.54036 + 3.28317i) q^{6} +(2.62075 - 0.362837i) q^{7} +4.18035i q^{8} +(-2.89142 + 0.799793i) q^{9} +5.27584i q^{10} -1.50309i q^{11} +(-6.00145 - 2.45759i) q^{12} +(-3.47069 + 0.976871i) q^{13} +(-5.00485 + 3.89370i) q^{14} +(-3.52837 - 1.44486i) q^{15} +(-1.26533 - 2.19161i) q^{16} +(2.45360 - 4.24976i) q^{17} +(5.04303 - 5.12501i) q^{18} -3.19921i q^{19} +(-4.12104 - 7.13784i) q^{20} +(-1.23337 - 4.41348i) q^{21} +(1.80123 + 3.11983i) q^{22} +(-4.28201 + 2.47222i) q^{23} +(7.17476 - 0.974013i) q^{24} +(0.0771661 + 0.133656i) q^{25} +(6.03317 - 6.18672i) q^{26} +(2.04639 + 4.77622i) q^{27} +(3.72979 - 9.17726i) q^{28} +(0.775914 + 0.447974i) q^{29} +(9.05497 - 1.22926i) q^{30} +(2.33226 - 1.34653i) q^{31} +(-1.98792 - 1.14773i) q^{32} +(-2.57977 + 0.350218i) q^{33} +11.7611i q^{34} +(2.19281 - 5.39548i) q^{35} +(-2.81965 + 10.8730i) q^{36} +(-5.02314 - 8.70034i) q^{37} +(3.83378 + 6.64031i) q^{38} +(2.48528 + 5.72917i) q^{39} +(7.96929 + 4.60107i) q^{40} +(4.98596 - 8.63593i) q^{41} +(7.84890 + 7.68264i) q^{42} +(-0.820714 - 1.42152i) q^{43} +(-4.87389 - 2.81394i) q^{44} +(-1.65773 + 6.39241i) q^{45} +(5.92518 - 10.2627i) q^{46} +(-0.165217 + 0.286164i) q^{47} +(-3.46666 + 2.68233i) q^{48} +(6.73670 - 1.90181i) q^{49} +(-0.320334 - 0.184945i) q^{50} +(-7.86558 - 3.22095i) q^{51} +(-3.32992 + 13.0828i) q^{52} +(-5.36111 + 3.09524i) q^{53} +(-9.97110 - 7.46127i) q^{54} +(-2.86545 - 1.65437i) q^{55} +(1.51678 + 10.9557i) q^{56} +(-5.49083 + 0.745410i) q^{57} -2.14733 q^{58} +(-6.92386 + 11.9925i) q^{59} +(-11.2905 + 8.73607i) q^{60} +2.82789i q^{61} +(-3.22724 + 5.58975i) q^{62} +(-7.28751 + 3.14518i) q^{63} +10.5628 q^{64} +(-1.95772 + 7.69162i) q^{65} +(4.93490 - 3.81839i) q^{66} -6.93457 q^{67} +(-9.18678 - 15.9120i) q^{68} +(5.24078 + 6.77322i) q^{69} +(1.91427 + 13.8267i) q^{70} +(13.9370 - 8.04655i) q^{71} +(-3.34341 - 12.0871i) q^{72} +(-2.87045 + 1.65726i) q^{73} +(20.8522 + 12.0390i) q^{74} +(0.211415 - 0.163582i) q^{75} +(-10.3737 - 5.98924i) q^{76} +(-0.545377 - 3.93923i) q^{77} +(-12.0240 - 8.91328i) q^{78} +(-3.02508 + 5.23959i) q^{79} -5.57070 q^{80} +(7.72066 - 4.62508i) q^{81} +23.8998i q^{82} +2.74309 q^{83} +(-16.6200 - 4.26318i) q^{84} +(-5.40108 - 9.35495i) q^{85} +(3.40696 + 1.96701i) q^{86} +(0.588075 - 1.43608i) q^{87} +6.28344 q^{88} +(6.31484 + 10.9376i) q^{89} +(-4.21958 - 15.2547i) q^{90} +(-8.74139 + 3.81944i) q^{91} +18.5130i q^{92} +(-2.85448 - 3.68914i) q^{93} -0.791952i q^{94} +(-6.09888 - 3.52119i) q^{95} +(-1.50667 + 3.67930i) q^{96} +(11.5690 - 6.67939i) q^{97} +(-11.7037 + 12.0204i) q^{98} +(1.20216 + 4.34607i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q + 32 q^{4} - 12 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q + 32 q^{4} - 12 q^{6} - 4 q^{7} + 8 q^{9} + 6 q^{12} - 12 q^{13} - 9 q^{15} - 16 q^{16} + 2 q^{18} + 10 q^{21} + 10 q^{22} - 24 q^{25} - 50 q^{28} - 16 q^{30} - 24 q^{31} - 33 q^{39} + 90 q^{40} - 48 q^{42} - 20 q^{43} - 3 q^{45} + 6 q^{48} - 10 q^{51} + 30 q^{52} - 27 q^{54} + 18 q^{55} + 4 q^{57} - 60 q^{58} + 55 q^{60} - 74 q^{63} - 84 q^{64} + 75 q^{66} - 88 q^{67} - 33 q^{69} + 20 q^{70} - 34 q^{72} + 84 q^{73} + 33 q^{75} + 18 q^{76} - 71 q^{78} + 20 q^{79} - 32 q^{81} - 6 q^{84} - 2 q^{85} + 3 q^{87} + 92 q^{88} - 76 q^{91} + 28 q^{93} + 30 q^{96} + 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.07561 + 1.19835i −1.46768 + 0.847364i −0.999345 0.0361886i \(-0.988478\pi\)
−0.468332 + 0.883552i \(0.655145\pi\)
\(3\) −0.232998 1.71631i −0.134522 0.990911i
\(4\) 1.87210 3.24258i 0.936051 1.62129i
\(5\) 1.10064 1.90637i 0.492223 0.852555i −0.507737 0.861512i \(-0.669518\pi\)
0.999960 + 0.00895706i \(0.00285116\pi\)
\(6\) 2.54036 + 3.28317i 1.03710 + 1.34035i
\(7\) 2.62075 0.362837i 0.990552 0.137140i
\(8\) 4.18035i 1.47798i
\(9\) −2.89142 + 0.799793i −0.963808 + 0.266598i
\(10\) 5.27584i 1.66837i
\(11\) 1.50309i 0.453199i −0.973988 0.226600i \(-0.927239\pi\)
0.973988 0.226600i \(-0.0727609\pi\)
\(12\) −6.00145 2.45759i −1.73247 0.709445i
\(13\) −3.47069 + 0.976871i −0.962598 + 0.270935i
\(14\) −5.00485 + 3.89370i −1.33760 + 1.04063i
\(15\) −3.52837 1.44486i −0.911021 0.373062i
\(16\) −1.26533 2.19161i −0.316332 0.547903i
\(17\) 2.45360 4.24976i 0.595085 1.03072i −0.398449 0.917190i \(-0.630452\pi\)
0.993535 0.113528i \(-0.0362151\pi\)
\(18\) 5.04303 5.12501i 1.18865 1.20798i
\(19\) 3.19921i 0.733949i −0.930231 0.366974i \(-0.880394\pi\)
0.930231 0.366974i \(-0.119606\pi\)
\(20\) −4.12104 7.13784i −0.921491 1.59607i
\(21\) −1.23337 4.41348i −0.269144 0.963100i
\(22\) 1.80123 + 3.11983i 0.384025 + 0.665150i
\(23\) −4.28201 + 2.47222i −0.892860 + 0.515493i −0.874877 0.484345i \(-0.839058\pi\)
−0.0179830 + 0.999838i \(0.505724\pi\)
\(24\) 7.17476 0.974013i 1.46454 0.198820i
\(25\) 0.0771661 + 0.133656i 0.0154332 + 0.0267311i
\(26\) 6.03317 6.18672i 1.18320 1.21332i
\(27\) 2.04639 + 4.77622i 0.393827 + 0.919184i
\(28\) 3.72979 9.17726i 0.704864 1.73434i
\(29\) 0.775914 + 0.447974i 0.144084 + 0.0831867i 0.570309 0.821430i \(-0.306824\pi\)
−0.426225 + 0.904617i \(0.640157\pi\)
\(30\) 9.05497 1.22926i 1.65320 0.224431i
\(31\) 2.33226 1.34653i 0.418886 0.241844i −0.275714 0.961240i \(-0.588914\pi\)
0.694601 + 0.719395i \(0.255581\pi\)
\(32\) −1.98792 1.14773i −0.351418 0.202891i
\(33\) −2.57977 + 0.350218i −0.449080 + 0.0609651i
\(34\) 11.7611i 2.01702i
\(35\) 2.19281 5.39548i 0.370653 0.912003i
\(36\) −2.81965 + 10.8730i −0.469942 + 1.81216i
\(37\) −5.02314 8.70034i −0.825800 1.43033i −0.901307 0.433182i \(-0.857391\pi\)
0.0755070 0.997145i \(-0.475942\pi\)
\(38\) 3.83378 + 6.64031i 0.621922 + 1.07720i
\(39\) 2.48528 + 5.72917i 0.397963 + 0.917402i
\(40\) 7.96929 + 4.60107i 1.26006 + 0.727493i
\(41\) 4.98596 8.63593i 0.778676 1.34871i −0.154030 0.988066i \(-0.549225\pi\)
0.932705 0.360639i \(-0.117441\pi\)
\(42\) 7.84890 + 7.68264i 1.21111 + 1.18546i
\(43\) −0.820714 1.42152i −0.125158 0.216780i 0.796637 0.604458i \(-0.206610\pi\)
−0.921795 + 0.387679i \(0.873277\pi\)
\(44\) −4.87389 2.81394i −0.734766 0.424217i
\(45\) −1.65773 + 6.39241i −0.247119 + 0.952925i
\(46\) 5.92518 10.2627i 0.873620 1.51315i
\(47\) −0.165217 + 0.286164i −0.0240993 + 0.0417413i −0.877824 0.478984i \(-0.841005\pi\)
0.853724 + 0.520725i \(0.174338\pi\)
\(48\) −3.46666 + 2.68233i −0.500369 + 0.387161i
\(49\) 6.73670 1.90181i 0.962385 0.271688i
\(50\) −0.320334 0.184945i −0.0453020 0.0261551i
\(51\) −7.86558 3.22095i −1.10140 0.451023i
\(52\) −3.32992 + 13.0828i −0.461776 + 1.81426i
\(53\) −5.36111 + 3.09524i −0.736404 + 0.425163i −0.820761 0.571272i \(-0.806450\pi\)
0.0843561 + 0.996436i \(0.473117\pi\)
\(54\) −9.97110 7.46127i −1.35690 1.01535i
\(55\) −2.86545 1.65437i −0.386377 0.223075i
\(56\) 1.51678 + 10.9557i 0.202689 + 1.46401i
\(57\) −5.49083 + 0.745410i −0.727278 + 0.0987319i
\(58\) −2.14733 −0.281958
\(59\) −6.92386 + 11.9925i −0.901410 + 1.56129i −0.0757456 + 0.997127i \(0.524134\pi\)
−0.825665 + 0.564161i \(0.809200\pi\)
\(60\) −11.2905 + 8.73607i −1.45760 + 1.12782i
\(61\) 2.82789i 0.362074i 0.983476 + 0.181037i \(0.0579454\pi\)
−0.983476 + 0.181037i \(0.942055\pi\)
\(62\) −3.22724 + 5.58975i −0.409860 + 0.709899i
\(63\) −7.28751 + 3.14518i −0.918140 + 0.396255i
\(64\) 10.5628 1.32035
\(65\) −1.95772 + 7.69162i −0.242825 + 0.954028i
\(66\) 4.93490 3.81839i 0.607445 0.470011i
\(67\) −6.93457 −0.847192 −0.423596 0.905851i \(-0.639232\pi\)
−0.423596 + 0.905851i \(0.639232\pi\)
\(68\) −9.18678 15.9120i −1.11406 1.92961i
\(69\) 5.24078 + 6.77322i 0.630916 + 0.815399i
\(70\) 1.91427 + 13.8267i 0.228799 + 1.65260i
\(71\) 13.9370 8.04655i 1.65402 0.954950i 0.678628 0.734482i \(-0.262575\pi\)
0.975394 0.220469i \(-0.0707586\pi\)
\(72\) −3.34341 12.0871i −0.394025 1.42448i
\(73\) −2.87045 + 1.65726i −0.335961 + 0.193967i −0.658485 0.752594i \(-0.728802\pi\)
0.322524 + 0.946561i \(0.395469\pi\)
\(74\) 20.8522 + 12.0390i 2.42401 + 1.39951i
\(75\) 0.211415 0.163582i 0.0244121 0.0188889i
\(76\) −10.3737 5.98924i −1.18994 0.687014i
\(77\) −0.545377 3.93923i −0.0621515 0.448917i
\(78\) −12.0240 8.91328i −1.36145 1.00923i
\(79\) −3.02508 + 5.23959i −0.340348 + 0.589500i −0.984497 0.175400i \(-0.943878\pi\)
0.644149 + 0.764900i \(0.277211\pi\)
\(80\) −5.57070 −0.622823
\(81\) 7.72066 4.62508i 0.857851 0.513898i
\(82\) 23.8998i 2.63929i
\(83\) 2.74309 0.301094 0.150547 0.988603i \(-0.451897\pi\)
0.150547 + 0.988603i \(0.451897\pi\)
\(84\) −16.6200 4.26318i −1.81339 0.465151i
\(85\) −5.40108 9.35495i −0.585829 1.01469i
\(86\) 3.40696 + 1.96701i 0.367382 + 0.212108i
\(87\) 0.588075 1.43608i 0.0630482 0.153964i
\(88\) 6.28344 0.669817
\(89\) 6.31484 + 10.9376i 0.669372 + 1.15939i 0.978080 + 0.208229i \(0.0667699\pi\)
−0.308709 + 0.951157i \(0.599897\pi\)
\(90\) −4.21958 15.2547i −0.444783 1.60799i
\(91\) −8.74139 + 3.81944i −0.916347 + 0.400386i
\(92\) 18.5130i 1.93011i
\(93\) −2.85448 3.68914i −0.295995 0.382546i
\(94\) 0.791952i 0.0816836i
\(95\) −6.09888 3.52119i −0.625732 0.361266i
\(96\) −1.50667 + 3.67930i −0.153774 + 0.375517i
\(97\) 11.5690 6.67939i 1.17466 0.678190i 0.219886 0.975526i \(-0.429432\pi\)
0.954773 + 0.297336i \(0.0960982\pi\)
\(98\) −11.7037 + 12.0204i −1.18225 + 1.21424i
\(99\) 1.20216 + 4.34607i 0.120822 + 0.436797i
\(100\) 0.577852 0.0577852
\(101\) 17.5138 1.74268 0.871342 0.490675i \(-0.163250\pi\)
0.871342 + 0.490675i \(0.163250\pi\)
\(102\) 20.1857 2.74032i 1.99868 0.271332i
\(103\) 2.76437 + 1.59601i 0.272381 + 0.157259i 0.629969 0.776620i \(-0.283067\pi\)
−0.357588 + 0.933879i \(0.616401\pi\)
\(104\) −4.08366 14.5087i −0.400436 1.42270i
\(105\) −9.77123 2.50641i −0.953574 0.244600i
\(106\) 7.41837 12.8490i 0.720536 1.24801i
\(107\) 1.78301 1.02942i 0.172370 0.0995181i −0.411333 0.911485i \(-0.634937\pi\)
0.583703 + 0.811967i \(0.301603\pi\)
\(108\) 19.3183 + 2.30601i 1.85891 + 0.221896i
\(109\) 2.54162 + 4.40221i 0.243443 + 0.421656i 0.961693 0.274130i \(-0.0883898\pi\)
−0.718250 + 0.695785i \(0.755056\pi\)
\(110\) 7.93007 0.756103
\(111\) −13.7621 + 10.6484i −1.30624 + 1.01070i
\(112\) −4.11131 5.28457i −0.388482 0.499345i
\(113\) 3.72227 2.14905i 0.350161 0.202166i −0.314595 0.949226i \(-0.601869\pi\)
0.664756 + 0.747060i \(0.268535\pi\)
\(114\) 10.5035 8.12713i 0.983747 0.761175i
\(115\) 10.8841i 1.01495i
\(116\) 2.90518 1.67731i 0.269739 0.155734i
\(117\) 9.25395 5.60039i 0.855528 0.517756i
\(118\) 33.1889i 3.05529i
\(119\) 4.88831 12.0278i 0.448111 1.10259i
\(120\) 6.04002 14.7498i 0.551376 1.34647i
\(121\) 8.74072 0.794611
\(122\) −3.38881 5.86959i −0.306808 0.531408i
\(123\) −15.9836 6.54528i −1.44120 0.590168i
\(124\) 10.0834i 0.905514i
\(125\) 11.3462 1.01483
\(126\) 11.3570 15.2612i 1.01176 1.35957i
\(127\) −8.84285 + 15.3163i −0.784676 + 1.35910i 0.144516 + 0.989502i \(0.453837\pi\)
−0.929192 + 0.369596i \(0.879496\pi\)
\(128\) −17.9485 + 10.3626i −1.58644 + 0.915930i
\(129\) −2.24854 + 1.73981i −0.197973 + 0.153182i
\(130\) −5.15382 18.3108i −0.452020 1.60597i
\(131\) −6.22200 + 10.7768i −0.543619 + 0.941576i 0.455073 + 0.890454i \(0.349613\pi\)
−0.998692 + 0.0511218i \(0.983720\pi\)
\(132\) −3.69398 + 9.02073i −0.321520 + 0.785154i
\(133\) −1.16079 8.38434i −0.100653 0.727014i
\(134\) 14.3934 8.31006i 1.24340 0.717880i
\(135\) 11.3576 + 1.35575i 0.977506 + 0.116684i
\(136\) 17.7655 + 10.2569i 1.52338 + 0.879522i
\(137\) 8.17930 + 4.72232i 0.698805 + 0.403455i 0.806902 0.590685i \(-0.201142\pi\)
−0.108097 + 0.994140i \(0.534476\pi\)
\(138\) −18.9945 7.77824i −1.61692 0.662128i
\(139\) 3.90386 2.25389i 0.331121 0.191173i −0.325218 0.945639i \(-0.605438\pi\)
0.656339 + 0.754466i \(0.272104\pi\)
\(140\) −13.3901 17.2113i −1.13167 1.45462i
\(141\) 0.529640 + 0.216887i 0.0446038 + 0.0182652i
\(142\) −19.2852 + 33.4030i −1.61838 + 2.80312i
\(143\) 1.46833 + 5.21677i 0.122788 + 0.436248i
\(144\) 5.41143 + 5.32488i 0.450953 + 0.443740i
\(145\) 1.70801 0.986120i 0.141842 0.0818928i
\(146\) 3.97196 6.87963i 0.328722 0.569362i
\(147\) −4.83374 11.1191i −0.398680 0.917090i
\(148\) −37.6153 −3.09196
\(149\) 18.8408i 1.54350i −0.635926 0.771750i \(-0.719382\pi\)
0.635926 0.771750i \(-0.280618\pi\)
\(150\) −0.242785 + 0.592883i −0.0198233 + 0.0484087i
\(151\) −4.12058 7.13706i −0.335328 0.580805i 0.648220 0.761453i \(-0.275514\pi\)
−0.983548 + 0.180648i \(0.942181\pi\)
\(152\) 13.3738 1.08476
\(153\) −3.69547 + 14.2502i −0.298761 + 1.15206i
\(154\) 5.85258 + 7.52275i 0.471615 + 0.606201i
\(155\) 5.92821i 0.476165i
\(156\) 23.2300 + 2.66689i 1.85989 + 0.213522i
\(157\) 12.0751 6.97157i 0.963699 0.556392i 0.0663895 0.997794i \(-0.478852\pi\)
0.897310 + 0.441402i \(0.145519\pi\)
\(158\) 14.5005i 1.15359i
\(159\) 6.56150 + 8.48012i 0.520361 + 0.672517i
\(160\) −4.37599 + 2.52648i −0.345952 + 0.199735i
\(161\) −10.3251 + 8.03274i −0.813729 + 0.633069i
\(162\) −10.4826 + 18.8519i −0.823590 + 1.48115i
\(163\) 11.2329 0.879826 0.439913 0.898040i \(-0.355009\pi\)
0.439913 + 0.898040i \(0.355009\pi\)
\(164\) −18.6684 32.3347i −1.45776 2.52491i
\(165\) −2.17176 + 5.30346i −0.169071 + 0.412874i
\(166\) −5.69359 + 3.28720i −0.441908 + 0.255136i
\(167\) −2.80640 + 4.86082i −0.217165 + 0.376142i −0.953940 0.299997i \(-0.903014\pi\)
0.736775 + 0.676138i \(0.236348\pi\)
\(168\) 18.4499 5.15592i 1.42344 0.397788i
\(169\) 11.0914 6.78084i 0.853188 0.521603i
\(170\) 22.4211 + 12.9448i 1.71962 + 0.992821i
\(171\) 2.55871 + 9.25027i 0.195669 + 0.707386i
\(172\) −6.14584 −0.468616
\(173\) −23.9067 −1.81759 −0.908797 0.417239i \(-0.862998\pi\)
−0.908797 + 0.417239i \(0.862998\pi\)
\(174\) 0.500323 + 3.68547i 0.0379294 + 0.279395i
\(175\) 0.250729 + 0.322280i 0.0189533 + 0.0243621i
\(176\) −3.29419 + 1.90190i −0.248309 + 0.143361i
\(177\) 22.1960 + 9.08925i 1.66836 + 0.683190i
\(178\) −26.2143 15.1348i −1.96484 1.13440i
\(179\) 19.5671i 1.46251i 0.682104 + 0.731255i \(0.261065\pi\)
−0.682104 + 0.731255i \(0.738935\pi\)
\(180\) 17.6245 + 17.3425i 1.31365 + 1.29264i
\(181\) 1.52824i 0.113593i −0.998386 0.0567967i \(-0.981911\pi\)
0.998386 0.0567967i \(-0.0180887\pi\)
\(182\) 13.5667 18.4029i 1.00563 1.36412i
\(183\) 4.85352 0.658893i 0.358783 0.0487067i
\(184\) −10.3347 17.9003i −0.761886 1.31962i
\(185\) −22.1148 −1.62591
\(186\) 10.3457 + 4.23654i 0.758581 + 0.310638i
\(187\) −6.38778 3.68799i −0.467121 0.269692i
\(188\) 0.618605 + 1.07146i 0.0451164 + 0.0781439i
\(189\) 7.09607 + 11.7748i 0.516163 + 0.856490i
\(190\) 16.8785 1.22450
\(191\) 6.17406i 0.446739i 0.974734 + 0.223370i \(0.0717057\pi\)
−0.974734 + 0.223370i \(0.928294\pi\)
\(192\) −2.46112 18.1291i −0.177616 1.30835i
\(193\) 10.4570 0.752715 0.376357 0.926475i \(-0.377176\pi\)
0.376357 + 0.926475i \(0.377176\pi\)
\(194\) −16.0085 + 27.7276i −1.14935 + 1.99073i
\(195\) 13.6573 + 1.56792i 0.978022 + 0.112281i
\(196\) 6.44501 25.4046i 0.460358 1.81462i
\(197\) −4.00557 2.31262i −0.285385 0.164767i 0.350474 0.936573i \(-0.386021\pi\)
−0.635859 + 0.771805i \(0.719354\pi\)
\(198\) −7.70335 7.58014i −0.547453 0.538697i
\(199\) −7.59135 4.38287i −0.538136 0.310693i 0.206187 0.978513i \(-0.433894\pi\)
−0.744323 + 0.667819i \(0.767228\pi\)
\(200\) −0.558727 + 0.322581i −0.0395080 + 0.0228099i
\(201\) 1.61574 + 11.9018i 0.113966 + 0.839492i
\(202\) −36.3517 + 20.9877i −2.55770 + 1.47669i
\(203\) 2.19602 + 0.892499i 0.154130 + 0.0626412i
\(204\) −25.1693 + 19.4748i −1.76221 + 1.36351i
\(205\) −10.9755 19.0102i −0.766564 1.32773i
\(206\) −7.65033 −0.533024
\(207\) 10.4038 10.5729i 0.723116 0.734871i
\(208\) 6.53249 + 6.37035i 0.452946 + 0.441704i
\(209\) −4.80870 −0.332625
\(210\) 23.2848 6.50707i 1.60680 0.449030i
\(211\) 0.494306 0.856163i 0.0340294 0.0589407i −0.848509 0.529181i \(-0.822499\pi\)
0.882539 + 0.470240i \(0.155833\pi\)
\(212\) 23.1784i 1.59190i
\(213\) −17.0577 22.0454i −1.16877 1.51053i
\(214\) −2.46723 + 4.27336i −0.168656 + 0.292121i
\(215\) −3.61326 −0.246422
\(216\) −19.9663 + 8.55461i −1.35853 + 0.582067i
\(217\) 5.62371 4.37516i 0.381762 0.297005i
\(218\) −10.5508 6.09152i −0.714591 0.412570i
\(219\) 3.51317 + 4.54044i 0.237398 + 0.306815i
\(220\) −10.7288 + 6.19429i −0.723338 + 0.417619i
\(221\) −4.36423 + 17.1465i −0.293570 + 1.15340i
\(222\) 15.8041 38.5938i 1.06070 2.59025i
\(223\) 18.4022 + 10.6245i 1.23230 + 0.711471i 0.967510 0.252833i \(-0.0813624\pi\)
0.264795 + 0.964305i \(0.414696\pi\)
\(224\) −5.62629 2.28662i −0.375922 0.152781i
\(225\) −0.330017 0.324738i −0.0220011 0.0216492i
\(226\) −5.15065 + 8.92118i −0.342616 + 0.593428i
\(227\) −1.99292 + 3.45183i −0.132274 + 0.229106i −0.924553 0.381054i \(-0.875561\pi\)
0.792279 + 0.610160i \(0.208895\pi\)
\(228\) −7.86234 + 19.1999i −0.520696 + 1.27154i
\(229\) 1.31206 + 0.757520i 0.0867036 + 0.0500583i 0.542725 0.839910i \(-0.317393\pi\)
−0.456021 + 0.889969i \(0.650726\pi\)
\(230\) −13.0430 22.5912i −0.860032 1.48962i
\(231\) −6.63386 + 1.85387i −0.436476 + 0.121976i
\(232\) −1.87269 + 3.24359i −0.122948 + 0.212952i
\(233\) 5.86812 + 3.38796i 0.384433 + 0.221953i 0.679745 0.733448i \(-0.262090\pi\)
−0.295312 + 0.955401i \(0.595424\pi\)
\(234\) −12.4964 + 22.7137i −0.816912 + 1.48484i
\(235\) 0.363690 + 0.629929i 0.0237245 + 0.0410920i
\(236\) 25.9244 + 44.9023i 1.68753 + 2.92289i
\(237\) 9.69758 + 3.97115i 0.629926 + 0.257954i
\(238\) 4.26737 + 30.8230i 0.276613 + 1.99796i
\(239\) 15.4434i 0.998954i −0.866327 0.499477i \(-0.833526\pi\)
0.866327 0.499477i \(-0.166474\pi\)
\(240\) 1.29796 + 9.56103i 0.0837831 + 0.617162i
\(241\) 6.09602 + 3.51954i 0.392679 + 0.226713i 0.683320 0.730119i \(-0.260535\pi\)
−0.290641 + 0.956832i \(0.593869\pi\)
\(242\) −18.1423 + 10.4745i −1.16623 + 0.673324i
\(243\) −9.73696 12.1734i −0.624626 0.780924i
\(244\) 9.16964 + 5.29409i 0.587026 + 0.338920i
\(245\) 3.78914 14.9359i 0.242080 0.954218i
\(246\) 41.0193 5.56860i 2.61530 0.355041i
\(247\) 3.12521 + 11.1035i 0.198853 + 0.706497i
\(248\) 5.62897 + 9.74966i 0.357440 + 0.619104i
\(249\) −0.639136 4.70799i −0.0405036 0.298357i
\(250\) −23.5502 + 13.5967i −1.48945 + 0.859932i
\(251\) −1.69284 2.93209i −0.106851 0.185072i 0.807642 0.589673i \(-0.200744\pi\)
−0.914493 + 0.404602i \(0.867410\pi\)
\(252\) −3.44450 + 29.5184i −0.216983 + 1.85948i
\(253\) 3.71597 + 6.43625i 0.233621 + 0.404643i
\(254\) 42.3874i 2.65962i
\(255\) −14.7975 + 11.4496i −0.926657 + 0.717002i
\(256\) 14.2732 24.7219i 0.892074 1.54512i
\(257\) −10.3099 17.8572i −0.643112 1.11390i −0.984734 0.174066i \(-0.944310\pi\)
0.341622 0.939837i \(-0.389024\pi\)
\(258\) 2.58218 6.30571i 0.160760 0.392576i
\(259\) −16.3212 20.9789i −1.01415 1.30356i
\(260\) 21.2756 + 20.7476i 1.31946 + 1.28671i
\(261\) −2.60178 0.674712i −0.161046 0.0417636i
\(262\) 29.8246i 1.84257i
\(263\) 5.54947i 0.342195i 0.985254 + 0.171097i \(0.0547313\pi\)
−0.985254 + 0.171097i \(0.945269\pi\)
\(264\) −1.46403 10.7843i −0.0901049 0.663729i
\(265\) 13.6270i 0.837100i
\(266\) 12.4567 + 16.0116i 0.763772 + 0.981732i
\(267\) 17.3010 13.3867i 1.05880 0.819250i
\(268\) −12.9822 + 22.4859i −0.793015 + 1.37354i
\(269\) −4.58386 + 7.93947i −0.279483 + 0.484078i −0.971256 0.238036i \(-0.923496\pi\)
0.691774 + 0.722115i \(0.256830\pi\)
\(270\) −25.1986 + 10.7964i −1.53354 + 0.657049i
\(271\) 5.91011 3.41220i 0.359014 0.207277i −0.309634 0.950856i \(-0.600207\pi\)
0.668648 + 0.743579i \(0.266873\pi\)
\(272\) −12.4184 −0.752978
\(273\) 8.59205 + 14.1130i 0.520015 + 0.854157i
\(274\) −22.6360 −1.36749
\(275\) 0.200897 0.115988i 0.0121145 0.00699433i
\(276\) 31.7740 4.31349i 1.91257 0.259641i
\(277\) 1.48356 2.56960i 0.0891385 0.154392i −0.818009 0.575206i \(-0.804922\pi\)
0.907147 + 0.420813i \(0.138255\pi\)
\(278\) −5.40192 + 9.35640i −0.323986 + 0.561160i
\(279\) −5.66661 + 5.75872i −0.339251 + 0.344766i
\(280\) 22.5550 + 9.16672i 1.34792 + 0.547816i
\(281\) 25.9693i 1.54920i −0.632454 0.774598i \(-0.717952\pi\)
0.632454 0.774598i \(-0.282048\pi\)
\(282\) −1.35923 + 0.184523i −0.0809412 + 0.0109882i
\(283\) 10.8957i 0.647681i 0.946112 + 0.323840i \(0.104974\pi\)
−0.946112 + 0.323840i \(0.895026\pi\)
\(284\) 60.2559i 3.57553i
\(285\) −4.62242 + 11.2880i −0.273808 + 0.668642i
\(286\) −9.29921 9.06840i −0.549874 0.536226i
\(287\) 9.93353 24.4417i 0.586358 1.44275i
\(288\) 6.66586 + 1.72864i 0.392790 + 0.101861i
\(289\) −3.54031 6.13199i −0.208253 0.360706i
\(290\) −2.36344 + 4.09360i −0.138786 + 0.240384i
\(291\) −14.1595 18.2998i −0.830042 1.07275i
\(292\) 12.4102i 0.726253i
\(293\) 5.70408 + 9.87975i 0.333236 + 0.577181i 0.983144 0.182831i \(-0.0585262\pi\)
−0.649909 + 0.760012i \(0.725193\pi\)
\(294\) 23.3576 + 17.2864i 1.36224 + 1.00817i
\(295\) 15.2414 + 26.3989i 0.887390 + 1.53700i
\(296\) 36.3704 20.9985i 2.11399 1.22051i
\(297\) 7.17910 3.07591i 0.416574 0.178482i
\(298\) 22.5780 + 39.1062i 1.30791 + 2.26536i
\(299\) 12.4465 12.7633i 0.719800 0.738119i
\(300\) −0.134638 0.991771i −0.00777335 0.0572599i
\(301\) −2.66667 3.42767i −0.153704 0.197567i
\(302\) 17.1054 + 9.87583i 0.984307 + 0.568290i
\(303\) −4.08068 30.0590i −0.234429 1.72685i
\(304\) −7.01142 + 4.04805i −0.402133 + 0.232171i
\(305\) 5.39100 + 3.11250i 0.308688 + 0.178221i
\(306\) −9.40646 34.0064i −0.537732 1.94402i
\(307\) 1.16158i 0.0662951i 0.999450 + 0.0331476i \(0.0105531\pi\)
−0.999450 + 0.0331476i \(0.989447\pi\)
\(308\) −13.7943 5.60622i −0.786001 0.319444i
\(309\) 2.09515 5.11637i 0.119189 0.291060i
\(310\) 7.10409 + 12.3046i 0.403485 + 0.698857i
\(311\) 3.49022 + 6.04524i 0.197912 + 0.342794i 0.947851 0.318713i \(-0.103251\pi\)
−0.749939 + 0.661507i \(0.769917\pi\)
\(312\) −23.9499 + 10.3893i −1.35590 + 0.588179i
\(313\) 17.1288 + 9.88930i 0.968175 + 0.558976i 0.898679 0.438606i \(-0.144528\pi\)
0.0694956 + 0.997582i \(0.477861\pi\)
\(314\) −16.7088 + 28.9405i −0.942933 + 1.63321i
\(315\) −2.02508 + 17.3544i −0.114101 + 0.977811i
\(316\) 11.3265 + 19.6181i 0.637166 + 1.10360i
\(317\) 6.37868 + 3.68273i 0.358262 + 0.206843i 0.668318 0.743875i \(-0.267014\pi\)
−0.310056 + 0.950718i \(0.600348\pi\)
\(318\) −23.7813 9.73842i −1.33359 0.546103i
\(319\) 0.673346 1.16627i 0.0377001 0.0652986i
\(320\) 11.6259 20.1367i 0.649909 1.12568i
\(321\) −2.18225 2.82035i −0.121801 0.157416i
\(322\) 11.8047 29.0459i 0.657853 1.61867i
\(323\) −13.5959 7.84958i −0.756494 0.436762i
\(324\) −0.543311 33.6935i −0.0301840 1.87186i
\(325\) −0.398385 0.388497i −0.0220984 0.0215499i
\(326\) −23.3150 + 13.4609i −1.29130 + 0.745533i
\(327\) 6.96336 5.38791i 0.385075 0.297952i
\(328\) 36.1012 + 20.8430i 1.99335 + 1.15086i
\(329\) −0.329162 + 0.809912i −0.0181473 + 0.0446519i
\(330\) −1.84769 13.6104i −0.101712 0.749230i
\(331\) 2.30547 0.126720 0.0633601 0.997991i \(-0.479818\pi\)
0.0633601 + 0.997991i \(0.479818\pi\)
\(332\) 5.13535 8.89469i 0.281839 0.488160i
\(333\) 21.4825 + 21.1389i 1.17723 + 1.15840i
\(334\) 13.4522i 0.736073i
\(335\) −7.63249 + 13.2199i −0.417007 + 0.722278i
\(336\) −8.11201 + 8.28757i −0.442547 + 0.452124i
\(337\) −9.99425 −0.544421 −0.272211 0.962238i \(-0.587755\pi\)
−0.272211 + 0.962238i \(0.587755\pi\)
\(338\) −14.8957 + 27.3659i −0.810217 + 1.48851i
\(339\) −4.55571 5.88783i −0.247432 0.319783i
\(340\) −40.4455 −2.19346
\(341\) −2.02396 3.50560i −0.109604 0.189839i
\(342\) −16.3960 16.1337i −0.886592 0.872411i
\(343\) 16.9652 7.42851i 0.916034 0.401102i
\(344\) 5.94244 3.43087i 0.320395 0.184980i
\(345\) 18.6805 2.53598i 1.00572 0.136533i
\(346\) 49.6210 28.6487i 2.66764 1.54016i
\(347\) −26.2428 15.1513i −1.40879 0.813365i −0.413517 0.910496i \(-0.635700\pi\)
−0.995272 + 0.0971315i \(0.969033\pi\)
\(348\) −3.55568 4.59537i −0.190604 0.246338i
\(349\) −18.7898 10.8483i −1.00580 0.580696i −0.0958377 0.995397i \(-0.530553\pi\)
−0.909958 + 0.414701i \(0.863886\pi\)
\(350\) −0.906620 0.368465i −0.0484609 0.0196953i
\(351\) −11.7681 14.5778i −0.628137 0.778103i
\(352\) −1.72514 + 2.98803i −0.0919502 + 0.159262i
\(353\) 15.7621 0.838934 0.419467 0.907771i \(-0.362217\pi\)
0.419467 + 0.907771i \(0.362217\pi\)
\(354\) −56.9624 + 7.73296i −3.02752 + 0.411002i
\(355\) 35.4256i 1.88019i
\(356\) 47.2881 2.50626
\(357\) −21.7824 5.58738i −1.15285 0.295716i
\(358\) −23.4482 40.6136i −1.23928 2.14649i
\(359\) 5.88803 + 3.39946i 0.310759 + 0.179417i 0.647266 0.762264i \(-0.275912\pi\)
−0.336507 + 0.941681i \(0.609246\pi\)
\(360\) −26.7225 6.92986i −1.40840 0.365236i
\(361\) 8.76506 0.461319
\(362\) 1.83138 + 3.17204i 0.0962550 + 0.166719i
\(363\) −2.03657 15.0018i −0.106892 0.787388i
\(364\) −3.97997 + 35.4950i −0.208607 + 1.86044i
\(365\) 7.29620i 0.381900i
\(366\) −9.28443 + 7.18384i −0.485305 + 0.375505i
\(367\) 16.2488i 0.848178i 0.905620 + 0.424089i \(0.139406\pi\)
−0.905620 + 0.424089i \(0.860594\pi\)
\(368\) 10.8363 + 6.25633i 0.564880 + 0.326134i
\(369\) −7.50955 + 28.9579i −0.390932 + 1.50749i
\(370\) 45.9016 26.5013i 2.38631 1.37774i
\(371\) −12.9271 + 10.0571i −0.671140 + 0.522136i
\(372\) −17.3062 + 2.34941i −0.897284 + 0.121811i
\(373\) −13.3531 −0.691397 −0.345699 0.938346i \(-0.612358\pi\)
−0.345699 + 0.938346i \(0.612358\pi\)
\(374\) 17.6780 0.914110
\(375\) −2.64364 19.4735i −0.136517 1.00561i
\(376\) −1.19626 0.690663i −0.0616926 0.0356182i
\(377\) −3.13057 0.796814i −0.161233 0.0410380i
\(378\) −28.8390 15.9363i −1.48332 0.819674i
\(379\) −11.9437 + 20.6870i −0.613504 + 1.06262i 0.377141 + 0.926156i \(0.376907\pi\)
−0.990645 + 0.136464i \(0.956426\pi\)
\(380\) −22.8354 + 13.1841i −1.17143 + 0.676328i
\(381\) 28.3478 + 11.6084i 1.45230 + 0.594716i
\(382\) −7.39870 12.8149i −0.378551 0.655669i
\(383\) −1.59774 −0.0816408 −0.0408204 0.999166i \(-0.512997\pi\)
−0.0408204 + 0.999166i \(0.512997\pi\)
\(384\) 21.9673 + 28.3907i 1.12101 + 1.44880i
\(385\) −8.10991 3.29600i −0.413319 0.167980i
\(386\) −21.7047 + 12.5312i −1.10474 + 0.637823i
\(387\) 3.50995 + 3.45381i 0.178421 + 0.175567i
\(388\) 50.0180i 2.53928i
\(389\) 19.3984 11.1997i 0.983539 0.567846i 0.0802022 0.996779i \(-0.474443\pi\)
0.903337 + 0.428932i \(0.141110\pi\)
\(390\) −30.2262 + 13.1119i −1.53056 + 0.663948i
\(391\) 24.2633i 1.22705i
\(392\) 7.95024 + 28.1617i 0.401548 + 1.42238i
\(393\) 19.9461 + 8.16789i 1.00615 + 0.412016i
\(394\) 11.0853 0.558471
\(395\) 6.65907 + 11.5338i 0.335054 + 0.580331i
\(396\) 16.3430 + 4.23819i 0.821269 + 0.212977i
\(397\) 20.4259i 1.02515i 0.858643 + 0.512573i \(0.171308\pi\)
−0.858643 + 0.512573i \(0.828692\pi\)
\(398\) 21.0089 1.05308
\(399\) −14.1196 + 3.94581i −0.706866 + 0.197538i
\(400\) 0.195281 0.338236i 0.00976404 0.0169118i
\(401\) −28.1718 + 16.2650i −1.40683 + 0.812235i −0.995081 0.0990615i \(-0.968416\pi\)
−0.411751 + 0.911296i \(0.635083\pi\)
\(402\) −17.6163 22.7674i −0.878620 1.13553i
\(403\) −6.77918 + 6.95172i −0.337695 + 0.346290i
\(404\) 32.7876 56.7897i 1.63124 2.82539i
\(405\) −0.319423 19.8090i −0.0158723 0.984318i
\(406\) −5.62761 + 0.779129i −0.279294 + 0.0386675i
\(407\) −13.0774 + 7.55024i −0.648223 + 0.374252i
\(408\) 13.4647 32.8808i 0.666600 1.62784i
\(409\) −22.8862 13.2133i −1.13165 0.653358i −0.187300 0.982303i \(-0.559974\pi\)
−0.944349 + 0.328945i \(0.893307\pi\)
\(410\) 45.5618 + 26.3051i 2.25014 + 1.29912i
\(411\) 6.19919 15.1385i 0.305784 0.746727i
\(412\) 10.3504 5.97578i 0.509926 0.294406i
\(413\) −13.7944 + 33.9416i −0.678779 + 1.67016i
\(414\) −8.92416 + 34.4128i −0.438598 + 1.69130i
\(415\) 3.01917 5.22936i 0.148205 0.256699i
\(416\) 8.02065 + 2.04147i 0.393245 + 0.100091i
\(417\) −4.77797 6.17507i −0.233978 0.302394i
\(418\) 9.98099 5.76253i 0.488186 0.281854i
\(419\) −7.22669 + 12.5170i −0.353047 + 0.611495i −0.986782 0.162055i \(-0.948188\pi\)
0.633735 + 0.773550i \(0.281521\pi\)
\(420\) −26.4200 + 26.9917i −1.28916 + 1.31706i
\(421\) −29.6577 −1.44543 −0.722713 0.691148i \(-0.757105\pi\)
−0.722713 + 0.691148i \(0.757105\pi\)
\(422\) 2.36941i 0.115341i
\(423\) 0.248840 0.959560i 0.0120990 0.0466554i
\(424\) −12.9392 22.4113i −0.628381 1.08839i
\(425\) 0.757340 0.0367364
\(426\) 61.8233 + 25.3166i 2.99535 + 1.22659i
\(427\) 1.02606 + 7.41120i 0.0496546 + 0.358653i
\(428\) 7.70874i 0.372616i
\(429\) 8.61147 3.73560i 0.415766 0.180356i
\(430\) 7.49971 4.32996i 0.361668 0.208809i
\(431\) 12.0546i 0.580651i 0.956928 + 0.290325i \(0.0937636\pi\)
−0.956928 + 0.290325i \(0.906236\pi\)
\(432\) 7.87827 10.5284i 0.379044 0.506546i
\(433\) 23.4870 13.5603i 1.12872 0.651664i 0.185104 0.982719i \(-0.440738\pi\)
0.943612 + 0.331055i \(0.107405\pi\)
\(434\) −6.42964 + 15.8203i −0.308632 + 0.759399i
\(435\) −2.09045 2.70171i −0.100229 0.129537i
\(436\) 19.0327 0.911500
\(437\) 7.90914 + 13.6990i 0.378345 + 0.655313i
\(438\) −12.7330 5.21416i −0.608407 0.249142i
\(439\) −3.64253 + 2.10302i −0.173848 + 0.100371i −0.584399 0.811466i \(-0.698670\pi\)
0.410551 + 0.911838i \(0.365336\pi\)
\(440\) 6.91583 11.9786i 0.329699 0.571056i
\(441\) −17.9576 + 10.8869i −0.855123 + 0.518424i
\(442\) −11.4891 40.8193i −0.546481 1.94157i
\(443\) 10.9258 + 6.30802i 0.519101 + 0.299703i 0.736567 0.676365i \(-0.236446\pi\)
−0.217466 + 0.976068i \(0.569779\pi\)
\(444\) 8.76431 + 64.5595i 0.415936 + 3.06386i
\(445\) 27.8016 1.31792
\(446\) −50.9278 −2.41150
\(447\) −32.3366 + 4.38988i −1.52947 + 0.207634i
\(448\) 27.6826 3.83259i 1.30788 0.181073i
\(449\) −5.18515 + 2.99365i −0.244702 + 0.141279i −0.617336 0.786699i \(-0.711788\pi\)
0.372634 + 0.927979i \(0.378455\pi\)
\(450\) 1.07414 + 0.278553i 0.0506353 + 0.0131311i
\(451\) −12.9806 7.49435i −0.611232 0.352895i
\(452\) 16.0930i 0.756950i
\(453\) −11.2893 + 8.73511i −0.530417 + 0.410411i
\(454\) 9.55287i 0.448338i
\(455\) −2.33990 + 20.8682i −0.109696 + 0.978315i
\(456\) −3.11607 22.9536i −0.145923 1.07490i
\(457\) −18.8844 32.7087i −0.883374 1.53005i −0.847566 0.530690i \(-0.821933\pi\)
−0.0358080 0.999359i \(-0.511400\pi\)
\(458\) −3.63111 −0.169671
\(459\) 25.3188 + 3.02228i 1.18178 + 0.141068i
\(460\) 35.2926 + 20.3762i 1.64553 + 0.950045i
\(461\) 7.86795 + 13.6277i 0.366447 + 0.634705i 0.989007 0.147867i \(-0.0472408\pi\)
−0.622560 + 0.782572i \(0.713907\pi\)
\(462\) 11.5477 11.7976i 0.537248 0.548875i
\(463\) −23.9163 −1.11148 −0.555742 0.831355i \(-0.687566\pi\)
−0.555742 + 0.831355i \(0.687566\pi\)
\(464\) 2.26734i 0.105258i
\(465\) −10.1746 + 1.38126i −0.471837 + 0.0640545i
\(466\) −16.2399 −0.752299
\(467\) 11.4121 19.7663i 0.528087 0.914674i −0.471377 0.881932i \(-0.656243\pi\)
0.999464 0.0327419i \(-0.0104239\pi\)
\(468\) −0.835329 40.4911i −0.0386131 1.87170i
\(469\) −18.1738 + 2.51612i −0.839188 + 0.116184i
\(470\) −1.50975 0.871657i −0.0696398 0.0402066i
\(471\) −14.7788 19.1002i −0.680973 0.880093i
\(472\) −50.1327 28.9441i −2.30755 1.33226i
\(473\) −2.13667 + 1.23361i −0.0982443 + 0.0567214i
\(474\) −24.8872 + 3.37858i −1.14311 + 0.155183i
\(475\) 0.427592 0.246871i 0.0196193 0.0113272i
\(476\) −29.8497 38.3680i −1.36816 1.75860i
\(477\) 13.0257 13.2374i 0.596405 0.606100i
\(478\) 18.5067 + 32.0546i 0.846477 + 1.46614i
\(479\) 2.39176 0.109282 0.0546411 0.998506i \(-0.482599\pi\)
0.0546411 + 0.998506i \(0.482599\pi\)
\(480\) 5.35581 + 6.92187i 0.244458 + 0.315939i
\(481\) 25.9329 + 25.2893i 1.18244 + 1.15309i
\(482\) −16.8706 −0.768435
\(483\) 16.1924 + 15.8494i 0.736779 + 0.721172i
\(484\) 16.3635 28.3424i 0.743796 1.28829i
\(485\) 29.4065i 1.33528i
\(486\) 34.7982 + 13.5989i 1.57848 + 0.616858i
\(487\) −20.0442 + 34.7176i −0.908290 + 1.57321i −0.0918520 + 0.995773i \(0.529279\pi\)
−0.816438 + 0.577432i \(0.804055\pi\)
\(488\) −11.8215 −0.535136
\(489\) −2.61724 19.2791i −0.118356 0.871829i
\(490\) 10.0337 + 35.5418i 0.453275 + 1.60561i
\(491\) −3.37799 1.95028i −0.152447 0.0880151i 0.421836 0.906672i \(-0.361386\pi\)
−0.574283 + 0.818657i \(0.694719\pi\)
\(492\) −51.1465 + 39.5747i −2.30586 + 1.78417i
\(493\) 3.80756 2.19830i 0.171484 0.0990064i
\(494\) −19.7926 19.3014i −0.890512 0.868410i
\(495\) 9.60838 + 2.49171i 0.431865 + 0.111994i
\(496\) −5.90215 3.40761i −0.265014 0.153006i
\(497\) 33.6060 26.1449i 1.50743 1.17276i
\(498\) 6.96844 + 9.00604i 0.312263 + 0.403570i
\(499\) 16.3007 28.2336i 0.729718 1.26391i −0.227284 0.973829i \(-0.572984\pi\)
0.957002 0.290081i \(-0.0936822\pi\)
\(500\) 21.2412 36.7908i 0.949935 1.64534i
\(501\) 8.99655 + 3.68408i 0.401936 + 0.164592i
\(502\) 7.02736 + 4.05725i 0.313646 + 0.181084i
\(503\) −6.79105 11.7625i −0.302798 0.524462i 0.673971 0.738758i \(-0.264587\pi\)
−0.976769 + 0.214296i \(0.931254\pi\)
\(504\) −13.1479 30.4643i −0.585655 1.35699i
\(505\) 19.2764 33.3877i 0.857789 1.48573i
\(506\) −15.4258 8.90609i −0.685760 0.395924i
\(507\) −14.2223 17.4564i −0.631634 0.775266i
\(508\) 33.1094 + 57.3472i 1.46899 + 2.54437i
\(509\) 7.71347 + 13.3601i 0.341894 + 0.592177i 0.984784 0.173781i \(-0.0555984\pi\)
−0.642891 + 0.765958i \(0.722265\pi\)
\(510\) 16.9932 41.4976i 0.752472 1.83754i
\(511\) −6.92143 + 5.38477i −0.306186 + 0.238208i
\(512\) 26.9670i 1.19179i
\(513\) 15.2801 6.54682i 0.674634 0.289049i
\(514\) 42.7985 + 24.7097i 1.88776 + 1.08990i
\(515\) 6.08517 3.51327i 0.268145 0.154813i
\(516\) 1.43197 + 10.5482i 0.0630390 + 0.464357i
\(517\) 0.430130 + 0.248336i 0.0189171 + 0.0109218i
\(518\) 59.0166 + 23.9853i 2.59304 + 1.05385i
\(519\) 5.57022 + 41.0313i 0.244506 + 1.80107i
\(520\) −32.1536 8.18395i −1.41003 0.358890i
\(521\) 8.81691 + 15.2713i 0.386276 + 0.669050i 0.991945 0.126667i \(-0.0404279\pi\)
−0.605669 + 0.795716i \(0.707095\pi\)
\(522\) 6.20883 1.71742i 0.271753 0.0751693i
\(523\) 13.9421 8.04948i 0.609646 0.351979i −0.163181 0.986596i \(-0.552175\pi\)
0.772827 + 0.634617i \(0.218842\pi\)
\(524\) 23.2964 + 40.3506i 1.01771 + 1.76273i
\(525\) 0.494712 0.505418i 0.0215910 0.0220583i
\(526\) −6.65022 11.5185i −0.289964 0.502232i
\(527\) 13.2154i 0.575672i
\(528\) 4.03179 + 5.21071i 0.175461 + 0.226767i
\(529\) 0.723715 1.25351i 0.0314659 0.0545005i
\(530\) −16.3300 28.2843i −0.709329 1.22859i
\(531\) 10.4283 40.2130i 0.452550 1.74510i
\(532\) −29.3600 11.9324i −1.27292 0.517334i
\(533\) −8.86854 + 34.8433i −0.384139 + 1.50923i
\(534\) −19.8681 + 48.5181i −0.859778 + 2.09959i
\(535\) 4.53211i 0.195940i
\(536\) 28.9889i 1.25213i
\(537\) 33.5831 4.55909i 1.44922 0.196739i
\(538\) 21.9723i 0.947294i
\(539\) −2.85860 10.1259i −0.123129 0.436152i
\(540\) 25.6587 34.2898i 1.10417 1.47560i
\(541\) −11.6387 + 20.1589i −0.500388 + 0.866697i 0.499612 + 0.866249i \(0.333476\pi\)
−1.00000 0.000447572i \(0.999858\pi\)
\(542\) −8.17805 + 14.1648i −0.351277 + 0.608430i
\(543\) −2.62294 + 0.356078i −0.112561 + 0.0152808i
\(544\) −9.75512 + 5.63212i −0.418248 + 0.241475i
\(545\) 11.1897 0.479313
\(546\) −34.7461 18.9967i −1.48700 0.812985i
\(547\) 32.4180 1.38609 0.693046 0.720893i \(-0.256268\pi\)
0.693046 + 0.720893i \(0.256268\pi\)
\(548\) 30.6250 17.6813i 1.30823 0.755309i
\(549\) −2.26173 8.17662i −0.0965281 0.348970i
\(550\) −0.277989 + 0.481491i −0.0118535 + 0.0205308i
\(551\) 1.43316 2.48231i 0.0610548 0.105750i
\(552\) −28.3144 + 21.9083i −1.20514 + 0.932479i
\(553\) −6.02687 + 14.8293i −0.256288 + 0.630605i
\(554\) 7.11132i 0.302131i
\(555\) 5.15270 + 37.9557i 0.218720 + 1.61113i
\(556\) 16.8781i 0.715790i
\(557\) 8.27284i 0.350532i 0.984521 + 0.175266i \(0.0560785\pi\)
−0.984521 + 0.175266i \(0.943922\pi\)
\(558\) 4.86068 18.7435i 0.205769 0.793474i
\(559\) 4.23709 + 4.13193i 0.179210 + 0.174762i
\(560\) −14.5994 + 2.02126i −0.616939 + 0.0854137i
\(561\) −4.84138 + 11.8227i −0.204403 + 0.499154i
\(562\) 31.1204 + 53.9020i 1.31273 + 2.27372i
\(563\) 20.7428 35.9276i 0.874206 1.51417i 0.0165996 0.999862i \(-0.494716\pi\)
0.857606 0.514307i \(-0.171951\pi\)
\(564\) 1.69481 1.31136i 0.0713645 0.0552184i
\(565\) 9.46136i 0.398042i
\(566\) −13.0569 22.6152i −0.548821 0.950586i
\(567\) 18.5558 14.9225i 0.779270 0.626688i
\(568\) 33.6374 + 58.2616i 1.41139 + 2.44460i
\(569\) −13.3796 + 7.72471i −0.560902 + 0.323837i −0.753507 0.657440i \(-0.771640\pi\)
0.192606 + 0.981276i \(0.438306\pi\)
\(570\) −3.93266 28.9687i −0.164721 1.21337i
\(571\) −16.0896 27.8680i −0.673329 1.16624i −0.976954 0.213449i \(-0.931530\pi\)
0.303625 0.952792i \(-0.401803\pi\)
\(572\) 19.6646 + 5.00517i 0.822220 + 0.209277i
\(573\) 10.5966 1.43854i 0.442679 0.0600961i
\(574\) 8.67172 + 62.6354i 0.361950 + 2.61435i
\(575\) −0.660852 0.381543i −0.0275594 0.0159114i
\(576\) −30.5416 + 8.44809i −1.27257 + 0.352004i
\(577\) −19.3075 + 11.1472i −0.803783 + 0.464064i −0.844792 0.535094i \(-0.820276\pi\)
0.0410092 + 0.999159i \(0.486943\pi\)
\(578\) 14.6966 + 8.48508i 0.611298 + 0.352933i
\(579\) −2.43647 17.9475i −0.101256 0.745873i
\(580\) 7.38447i 0.306623i
\(581\) 7.18897 0.995296i 0.298249 0.0412919i
\(582\) 51.3191 + 21.0151i 2.12724 + 0.871104i
\(583\) 4.65242 + 8.05823i 0.192684 + 0.333738i
\(584\) −6.92790 11.9995i −0.286679 0.496542i
\(585\) −0.491105 23.8055i −0.0203047 0.984236i
\(586\) −23.6789 13.6710i −0.978165 0.564744i
\(587\) 19.0213 32.9459i 0.785094 1.35982i −0.143849 0.989600i \(-0.545948\pi\)
0.928943 0.370223i \(-0.120719\pi\)
\(588\) −45.1039 5.14239i −1.86005 0.212069i
\(589\) −4.30784 7.46139i −0.177501 0.307441i
\(590\) −63.2704 36.5292i −2.60480 1.50388i
\(591\) −3.03587 + 7.41362i −0.124879 + 0.304956i
\(592\) −12.7118 + 22.0176i −0.522453 + 0.904916i
\(593\) −0.484442 + 0.839079i −0.0198937 + 0.0344568i −0.875801 0.482673i \(-0.839666\pi\)
0.855907 + 0.517129i \(0.172999\pi\)
\(594\) −11.2150 + 14.9875i −0.460156 + 0.614944i
\(595\) −17.5492 22.5573i −0.719448 0.924759i
\(596\) −61.0928 35.2719i −2.50246 1.44479i
\(597\) −5.75358 + 14.0503i −0.235478 + 0.575040i
\(598\) −10.5391 + 41.4069i −0.430978 + 1.69325i
\(599\) −32.1172 + 18.5429i −1.31228 + 0.757642i −0.982472 0.186408i \(-0.940315\pi\)
−0.329803 + 0.944050i \(0.606982\pi\)
\(600\) 0.683831 + 0.883786i 0.0279173 + 0.0360804i
\(601\) 9.42183 + 5.43970i 0.384324 + 0.221890i 0.679698 0.733492i \(-0.262111\pi\)
−0.295374 + 0.955382i \(0.595444\pi\)
\(602\) 9.64252 + 3.91888i 0.393000 + 0.159722i
\(603\) 20.0508 5.54622i 0.816530 0.225859i
\(604\) −30.8566 −1.25554
\(605\) 9.62042 16.6630i 0.391126 0.677449i
\(606\) 44.4912 + 57.5007i 1.80733 + 2.33580i
\(607\) 16.2083i 0.657875i 0.944352 + 0.328937i \(0.106691\pi\)
−0.944352 + 0.328937i \(0.893309\pi\)
\(608\) −3.67182 + 6.35977i −0.148912 + 0.257923i
\(609\) 1.02013 3.97700i 0.0413379 0.161156i
\(610\) −14.9195 −0.604072
\(611\) 0.293872 1.15458i 0.0118888 0.0467094i
\(612\) 39.2892 + 38.6607i 1.58817 + 1.56277i
\(613\) −32.7382 −1.32228 −0.661142 0.750261i \(-0.729928\pi\)
−0.661142 + 0.750261i \(0.729928\pi\)
\(614\) −1.39199 2.41100i −0.0561761 0.0972999i
\(615\) −30.0700 + 23.2667i −1.21254 + 0.938204i
\(616\) 16.4674 2.27987i 0.663489 0.0918584i
\(617\) −33.8949 + 19.5692i −1.36456 + 0.787828i −0.990227 0.139467i \(-0.955461\pi\)
−0.374331 + 0.927295i \(0.622128\pi\)
\(618\) 1.78251 + 13.1303i 0.0717032 + 0.528179i
\(619\) −4.41436 + 2.54863i −0.177428 + 0.102438i −0.586084 0.810250i \(-0.699331\pi\)
0.408656 + 0.912689i \(0.365998\pi\)
\(620\) −19.2227 11.0982i −0.772001 0.445715i
\(621\) −20.5705 15.3927i −0.825466 0.617688i
\(622\) −14.4887 8.36504i −0.580943 0.335407i
\(623\) 20.5182 + 26.3736i 0.822045 + 1.05663i
\(624\) 9.41143 12.6960i 0.376759 0.508248i
\(625\) 12.1023 20.9617i 0.484090 0.838469i
\(626\) −47.4035 −1.89462
\(627\) 1.12042 + 8.25321i 0.0447452 + 0.329602i
\(628\) 52.2060i 2.08324i
\(629\) −49.2991 −1.96569
\(630\) −16.5935 38.4478i −0.661099 1.53180i
\(631\) 24.5250 + 42.4785i 0.976324 + 1.69104i 0.675496 + 0.737364i \(0.263930\pi\)
0.300828 + 0.953678i \(0.402737\pi\)
\(632\) −21.9033 12.6459i −0.871266 0.503026i
\(633\) −1.58461 0.648896i −0.0629826 0.0257913i
\(634\) −17.6529 −0.701085
\(635\) 19.4657 + 33.7155i 0.772471 + 1.33796i
\(636\) 39.7812 5.40052i 1.57743 0.214145i
\(637\) −21.5232 + 13.1815i −0.852780 + 0.522270i
\(638\) 3.22763i 0.127783i
\(639\) −33.8623 + 34.4127i −1.33957 + 1.36135i
\(640\) 45.6220i 1.80337i
\(641\) −22.4184 12.9433i −0.885473 0.511228i −0.0130138 0.999915i \(-0.504143\pi\)
−0.872459 + 0.488687i \(0.837476\pi\)
\(642\) 7.90926 + 3.23883i 0.312154 + 0.127827i
\(643\) −19.3103 + 11.1488i −0.761526 + 0.439667i −0.829843 0.557997i \(-0.811570\pi\)
0.0683177 + 0.997664i \(0.478237\pi\)
\(644\) 6.71719 + 48.5179i 0.264694 + 1.91187i
\(645\) 0.841882 + 6.20146i 0.0331491 + 0.244182i
\(646\) 37.6263 1.48039
\(647\) −19.6946 −0.774274 −0.387137 0.922022i \(-0.626536\pi\)
−0.387137 + 0.922022i \(0.626536\pi\)
\(648\) 19.3344 + 32.2750i 0.759528 + 1.26788i
\(649\) 18.0258 + 10.4072i 0.707575 + 0.408518i
\(650\) 1.29245 + 0.328962i 0.0506939 + 0.0129029i
\(651\) −8.81943 8.63261i −0.345661 0.338339i
\(652\) 21.0291 36.4234i 0.823562 1.42645i
\(653\) −8.09599 + 4.67422i −0.316821 + 0.182916i −0.649975 0.759956i \(-0.725220\pi\)
0.333154 + 0.942872i \(0.391887\pi\)
\(654\) −7.99660 + 19.5278i −0.312692 + 0.763596i
\(655\) 13.6964 + 23.7229i 0.535163 + 0.926930i
\(656\) −25.2355 −0.985280
\(657\) 6.97423 7.08760i 0.272091 0.276514i
\(658\) −0.287350 2.07551i −0.0112021 0.0809119i
\(659\) 12.6857 7.32409i 0.494165 0.285306i −0.232136 0.972683i \(-0.574571\pi\)
0.726301 + 0.687377i \(0.241238\pi\)
\(660\) 13.1311 + 16.9707i 0.511128 + 0.660584i
\(661\) 2.01140i 0.0782343i 0.999235 + 0.0391172i \(0.0124546\pi\)
−0.999235 + 0.0391172i \(0.987545\pi\)
\(662\) −4.78526 + 2.76277i −0.185984 + 0.107378i
\(663\) 30.4455 + 3.49526i 1.18240 + 0.135745i
\(664\) 11.4671i 0.445009i
\(665\) −17.2613 7.01527i −0.669364 0.272041i
\(666\) −69.9211 18.1324i −2.70939 0.702618i
\(667\) −4.42996 −0.171529
\(668\) 10.5077 + 18.1999i 0.406556 + 0.704176i
\(669\) 13.9473 34.0594i 0.539233 1.31681i
\(670\) 36.5857i 1.41343i
\(671\) 4.25057 0.164092
\(672\) −2.61362 + 10.1892i −0.100823 + 0.393058i
\(673\) −3.60802 + 6.24928i −0.139079 + 0.240892i −0.927148 0.374695i \(-0.877748\pi\)
0.788069 + 0.615587i \(0.211081\pi\)
\(674\) 20.7441 11.9766i 0.799035 0.461323i
\(675\) −0.480457 + 0.642074i −0.0184928 + 0.0247134i
\(676\) −1.22308 48.6593i −0.0470414 1.87151i
\(677\) 12.2214 21.1681i 0.469706 0.813554i −0.529694 0.848189i \(-0.677693\pi\)
0.999400 + 0.0346344i \(0.0110267\pi\)
\(678\) 16.5116 + 6.76147i 0.634124 + 0.259673i
\(679\) 27.8961 21.7027i 1.07055 0.832874i
\(680\) 39.1069 22.5784i 1.49968 0.865841i
\(681\) 6.38875 + 2.61619i 0.244817 + 0.100252i
\(682\) 8.40190 + 4.85084i 0.321725 + 0.185748i
\(683\) 5.49970 + 3.17525i 0.210440 + 0.121498i 0.601516 0.798861i \(-0.294564\pi\)
−0.391076 + 0.920359i \(0.627897\pi\)
\(684\) 34.7849 + 9.02065i 1.33003 + 0.344913i
\(685\) 18.0050 10.3952i 0.687935 0.397180i
\(686\) −26.3111 + 35.7490i −1.00456 + 1.36490i
\(687\) 0.994429 2.42841i 0.0379398 0.0926495i
\(688\) −2.07694 + 3.59737i −0.0791828 + 0.137149i
\(689\) 15.5831 15.9797i 0.593669 0.608779i
\(690\) −35.7344 + 27.6495i −1.36039 + 1.05260i
\(691\) 4.97386 2.87166i 0.189214 0.109243i −0.402400 0.915464i \(-0.631824\pi\)
0.591615 + 0.806221i \(0.298491\pi\)
\(692\) −44.7558 + 77.5193i −1.70136 + 2.94684i
\(693\) 4.72749 + 10.9538i 0.179582 + 0.416100i
\(694\) 72.6265 2.75686
\(695\) 9.92294i 0.376398i
\(696\) 6.00333 + 2.45836i 0.227556 + 0.0931837i
\(697\) −24.4671 42.3782i −0.926757 1.60519i
\(698\) 52.0004 1.96824
\(699\) 4.44752 10.8609i 0.168221 0.410797i
\(700\) 1.51441 0.209666i 0.0572392 0.00792463i
\(701\) 14.7876i 0.558520i −0.960216 0.279260i \(-0.909911\pi\)
0.960216 0.279260i \(-0.0900891\pi\)
\(702\) 41.8954 + 16.1553i 1.58124 + 0.609743i
\(703\) −27.8342 + 16.0701i −1.04979 + 0.606095i
\(704\) 15.8769i 0.598384i
\(705\) 0.996413 0.770976i 0.0375271 0.0290366i
\(706\) −32.7160 + 18.8886i −1.23128 + 0.710882i
\(707\) 45.8993 6.35464i 1.72622 0.238991i
\(708\) 71.0258 54.9563i 2.66931 2.06539i
\(709\) −48.6946 −1.82876 −0.914381 0.404855i \(-0.867322\pi\)
−0.914381 + 0.404855i \(0.867322\pi\)
\(710\) 42.4523 + 73.5296i 1.59321 + 2.75952i
\(711\) 4.55619 17.5693i 0.170871 0.658901i
\(712\) −45.7230 + 26.3982i −1.71354 + 0.989315i
\(713\) −6.65784 + 11.5317i −0.249338 + 0.431866i
\(714\) 51.9075 14.5058i 1.94259 0.542867i
\(715\) 11.5612 + 2.94263i 0.432365 + 0.110048i
\(716\) 63.4476 + 36.6315i 2.37115 + 1.36898i
\(717\) −26.5057 + 3.59830i −0.989874 + 0.134381i
\(718\) −16.2950 −0.608124
\(719\) −29.7528 −1.10959 −0.554796 0.831986i \(-0.687204\pi\)
−0.554796 + 0.831986i \(0.687204\pi\)
\(720\) 16.1073 4.45541i 0.600282 0.166043i
\(721\) 7.82382 + 3.17973i 0.291374 + 0.118419i
\(722\) −18.1928 + 10.5036i −0.677068 + 0.390905i
\(723\) 4.62025 11.2827i 0.171829 0.419608i
\(724\) −4.95545 2.86103i −0.184168 0.106329i
\(725\) 0.138274i 0.00513536i
\(726\) 22.2045 + 28.6973i 0.824088 + 1.06505i
\(727\) 40.6361i 1.50711i 0.657385 + 0.753555i \(0.271663\pi\)
−0.657385 + 0.753555i \(0.728337\pi\)
\(728\) −15.9666 36.5420i −0.591760 1.35434i
\(729\) −18.6246 + 19.5480i −0.689800 + 0.724000i
\(730\) −8.74342 15.1441i −0.323609 0.560506i
\(731\) −8.05482 −0.297918
\(732\) 6.94978 16.9714i 0.256871 0.627282i
\(733\) −24.6541 14.2340i −0.910619 0.525746i −0.0299887 0.999550i \(-0.509547\pi\)
−0.880630 + 0.473804i \(0.842880\pi\)
\(734\) −19.4718 33.7261i −0.718716 1.24485i
\(735\) −26.5174 3.02331i −0.978109 0.111516i
\(736\) 11.3497 0.418356
\(737\) 10.4233i 0.383947i
\(738\) −19.1149 69.1043i −0.703628 2.54376i
\(739\) 31.3378 1.15278 0.576389 0.817175i \(-0.304461\pi\)
0.576389 + 0.817175i \(0.304461\pi\)
\(740\) −41.4011 + 71.7088i −1.52193 + 2.63607i
\(741\) 18.3288 7.95092i 0.673326 0.292084i
\(742\) 14.7796 36.3657i 0.542577 1.33503i
\(743\) −11.8552 6.84459i −0.434924 0.251104i 0.266518 0.963830i \(-0.414127\pi\)
−0.701442 + 0.712726i \(0.747460\pi\)
\(744\) 15.4219 11.9327i 0.565393 0.437474i
\(745\) −35.9176 20.7370i −1.31592 0.759746i
\(746\) 27.7158 16.0017i 1.01475 0.585865i
\(747\) −7.93145 + 2.19391i −0.290196 + 0.0802709i
\(748\) −23.9171 + 13.8086i −0.874497 + 0.504891i
\(749\) 4.29933 3.34481i 0.157094 0.122217i
\(750\) 28.8233 + 37.2514i 1.05248 + 1.36023i
\(751\) −19.1716 33.2063i −0.699583 1.21171i −0.968611 0.248581i \(-0.920036\pi\)
0.269028 0.963132i \(-0.413298\pi\)
\(752\) 0.836213 0.0304936
\(753\) −4.63794 + 3.58861i −0.169016 + 0.130776i
\(754\) 7.45271 2.09766i 0.271412 0.0763923i
\(755\) −18.1412 −0.660225
\(756\) 51.4652 0.965920i 1.87177 0.0351302i
\(757\) −3.23204 + 5.59806i −0.117471 + 0.203465i −0.918765 0.394806i \(-0.870812\pi\)
0.801294 + 0.598271i \(0.204145\pi\)
\(758\) 57.2509i 2.07944i
\(759\) 10.1808 7.87738i 0.369538 0.285931i
\(760\) 14.7198 25.4954i 0.533943 0.924816i
\(761\) 13.8219 0.501045 0.250523 0.968111i \(-0.419398\pi\)
0.250523 + 0.968111i \(0.419398\pi\)
\(762\) −72.7499 + 9.87620i −2.63545 + 0.357777i
\(763\) 8.25824 + 10.6149i 0.298969 + 0.384286i
\(764\) 20.0199 + 11.5585i 0.724293 + 0.418171i
\(765\) 23.0988 + 22.7294i 0.835140 + 0.821782i
\(766\) 3.31629 1.91466i 0.119822 0.0691795i
\(767\) 12.3155 48.3860i 0.444687 1.74712i
\(768\) −45.7560 18.7370i −1.65108 0.676114i
\(769\) −1.89305 1.09295i −0.0682650 0.0394128i 0.465479 0.885059i \(-0.345882\pi\)
−0.533744 + 0.845646i \(0.679215\pi\)
\(770\) 20.7828 2.87732i 0.748959