Properties

Label 273.2.bf.b.152.1
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 152.1
Character \(\chi\) \(=\) 273.152
Dual form 273.2.bf.b.185.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.36551 + 1.36573i) q^{2} +(1.47077 + 0.914786i) q^{3} +(2.73043 - 4.72924i) q^{4} +(0.121221 - 0.209960i) q^{5} +(-4.72847 - 0.155263i) q^{6} +(-0.288550 - 2.62997i) q^{7} +9.45317i q^{8} +(1.32633 + 2.69088i) q^{9} +O(q^{10})\) \(q+(-2.36551 + 1.36573i) q^{2} +(1.47077 + 0.914786i) q^{3} +(2.73043 - 4.72924i) q^{4} +(0.121221 - 0.209960i) q^{5} +(-4.72847 - 0.155263i) q^{6} +(-0.288550 - 2.62997i) q^{7} +9.45317i q^{8} +(1.32633 + 2.69088i) q^{9} +0.662218i q^{10} -4.97611i q^{11} +(8.34207 - 4.45787i) q^{12} +(3.55884 + 0.578487i) q^{13} +(4.27439 + 5.82714i) q^{14} +(0.370357 - 0.197913i) q^{15} +(-7.44960 - 12.9031i) q^{16} +(1.75068 - 3.03226i) q^{17} +(-6.81247 - 4.55390i) q^{18} -1.74748i q^{19} +(-0.661968 - 1.14656i) q^{20} +(1.98147 - 4.13204i) q^{21} +(6.79601 + 11.7710i) q^{22} +(2.45003 - 1.41453i) q^{23} +(-8.64762 + 13.9034i) q^{24} +(2.47061 + 4.27922i) q^{25} +(-9.20853 + 3.49199i) q^{26} +(-0.510850 + 5.17098i) q^{27} +(-13.2256 - 5.81632i) q^{28} +(0.841553 + 0.485871i) q^{29} +(-0.605788 + 0.973971i) q^{30} +(-4.95063 + 2.85824i) q^{31} +(18.8709 + 10.8951i) q^{32} +(4.55207 - 7.31871i) q^{33} +9.56379i q^{34} +(-0.587168 - 0.258223i) q^{35} +(16.3473 + 1.07471i) q^{36} +(3.49491 + 6.05336i) q^{37} +(2.38658 + 4.13368i) q^{38} +(4.70505 + 4.10640i) q^{39} +(1.98479 + 1.14592i) q^{40} +(-0.800378 + 1.38629i) q^{41} +(0.956061 + 12.4805i) q^{42} +(-1.17144 - 2.02899i) q^{43} +(-23.5332 - 13.5869i) q^{44} +(0.725758 + 0.0477132i) q^{45} +(-3.86371 + 6.69215i) q^{46} +(0.0888026 - 0.153811i) q^{47} +(0.846911 - 25.7923i) q^{48} +(-6.83348 + 1.51775i) q^{49} +(-11.6885 - 6.74837i) q^{50} +(5.34871 - 2.85827i) q^{51} +(12.4530 - 15.2511i) q^{52} +(-3.86514 + 2.23154i) q^{53} +(-5.85373 - 12.9297i) q^{54} +(-1.04479 - 0.603207i) q^{55} +(24.8615 - 2.72771i) q^{56} +(1.59857 - 2.57014i) q^{57} -2.65427 q^{58} +(-1.35742 + 2.35112i) q^{59} +(0.0752562 - 2.29189i) q^{60} -8.90472i q^{61} +(7.80717 - 13.5224i) q^{62} +(6.69422 - 4.26467i) q^{63} -29.7205 q^{64} +(0.552865 - 0.677091i) q^{65} +(-0.772608 + 23.5294i) q^{66} +1.28614 q^{67} +(-9.56019 - 16.5587i) q^{68} +(4.89742 + 0.160811i) q^{69} +(1.74161 - 0.191083i) q^{70} +(-3.46933 + 2.00302i) q^{71} +(-25.4373 + 12.5380i) q^{72} +(2.79901 - 1.61601i) q^{73} +(-16.5345 - 9.54619i) q^{74} +(-0.280873 + 8.55384i) q^{75} +(-8.26425 - 4.77137i) q^{76} +(-13.0870 + 1.43585i) q^{77} +(-16.7381 - 3.28792i) q^{78} +(1.62940 - 2.82221i) q^{79} -3.61218 q^{80} +(-5.48168 + 7.13801i) q^{81} -4.37239i q^{82} +11.4444 q^{83} +(-14.1312 - 20.6531i) q^{84} +(-0.424437 - 0.735146i) q^{85} +(5.54210 + 3.19973i) q^{86} +(0.793263 + 1.48445i) q^{87} +47.0400 q^{88} +(4.87310 + 8.44046i) q^{89} +(-1.78195 + 0.878322i) q^{90} +(0.494502 - 9.52657i) q^{91} -15.4490i q^{92} +(-9.89592 - 0.324941i) q^{93} +0.485121i q^{94} +(-0.366902 - 0.211831i) q^{95} +(17.7880 + 33.2870i) q^{96} +(-4.44012 + 2.56350i) q^{97} +(14.0918 - 12.9229i) q^{98} +(13.3901 - 6.59997i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.36551 + 1.36573i −1.67267 + 0.965716i −0.706533 + 0.707680i \(0.749742\pi\)
−0.966135 + 0.258035i \(0.916925\pi\)
\(3\) 1.47077 + 0.914786i 0.849150 + 0.528152i
\(4\) 2.73043 4.72924i 1.36521 2.36462i
\(5\) 0.121221 0.209960i 0.0542116 0.0938972i −0.837646 0.546213i \(-0.816069\pi\)
0.891858 + 0.452316i \(0.149402\pi\)
\(6\) −4.72847 0.155263i −1.93039 0.0633860i
\(7\) −0.288550 2.62997i −0.109062 0.994035i
\(8\) 9.45317i 3.34220i
\(9\) 1.32633 + 2.69088i 0.442111 + 0.896960i
\(10\) 0.662218i 0.209412i
\(11\) 4.97611i 1.50035i −0.661238 0.750176i \(-0.729969\pi\)
0.661238 0.750176i \(-0.270031\pi\)
\(12\) 8.34207 4.45787i 2.40815 1.28688i
\(13\) 3.55884 + 0.578487i 0.987045 + 0.160444i
\(14\) 4.27439 + 5.82714i 1.14238 + 1.55737i
\(15\) 0.370357 0.197913i 0.0956257 0.0511008i
\(16\) −7.44960 12.9031i −1.86240 3.22577i
\(17\) 1.75068 3.03226i 0.424601 0.735431i −0.571782 0.820406i \(-0.693748\pi\)
0.996383 + 0.0849746i \(0.0270809\pi\)
\(18\) −6.81247 4.55390i −1.60571 1.07336i
\(19\) 1.74748i 0.400900i −0.979704 0.200450i \(-0.935760\pi\)
0.979704 0.200450i \(-0.0642403\pi\)
\(20\) −0.661968 1.14656i −0.148021 0.256379i
\(21\) 1.98147 4.13204i 0.432392 0.901686i
\(22\) 6.79601 + 11.7710i 1.44891 + 2.50959i
\(23\) 2.45003 1.41453i 0.510866 0.294949i −0.222323 0.974973i \(-0.571364\pi\)
0.733190 + 0.680024i \(0.238031\pi\)
\(24\) −8.64762 + 13.9034i −1.76519 + 2.83803i
\(25\) 2.47061 + 4.27922i 0.494122 + 0.855845i
\(26\) −9.20853 + 3.49199i −1.80594 + 0.684836i
\(27\) −0.510850 + 5.17098i −0.0983131 + 0.995156i
\(28\) −13.2256 5.81632i −2.49941 1.09918i
\(29\) 0.841553 + 0.485871i 0.156272 + 0.0902239i 0.576097 0.817381i \(-0.304575\pi\)
−0.419825 + 0.907605i \(0.637908\pi\)
\(30\) −0.605788 + 0.973971i −0.110601 + 0.177822i
\(31\) −4.95063 + 2.85824i −0.889159 + 0.513356i −0.873667 0.486524i \(-0.838265\pi\)
−0.0154914 + 0.999880i \(0.504931\pi\)
\(32\) 18.8709 + 10.8951i 3.33593 + 1.92600i
\(33\) 4.55207 7.31871i 0.792414 1.27402i
\(34\) 9.56379i 1.64018i
\(35\) −0.587168 0.258223i −0.0992495 0.0436476i
\(36\) 16.3473 + 1.07471i 2.72454 + 0.179119i
\(37\) 3.49491 + 6.05336i 0.574560 + 0.995166i 0.996089 + 0.0883518i \(0.0281600\pi\)
−0.421530 + 0.906815i \(0.638507\pi\)
\(38\) 2.38658 + 4.13368i 0.387155 + 0.670572i
\(39\) 4.70505 + 4.10640i 0.753411 + 0.657550i
\(40\) 1.98479 + 1.14592i 0.313823 + 0.181186i
\(41\) −0.800378 + 1.38629i −0.124998 + 0.216503i −0.921732 0.387827i \(-0.873226\pi\)
0.796734 + 0.604330i \(0.206559\pi\)
\(42\) 0.956061 + 12.4805i 0.147523 + 1.92579i
\(43\) −1.17144 2.02899i −0.178643 0.309418i 0.762773 0.646666i \(-0.223837\pi\)
−0.941416 + 0.337248i \(0.890504\pi\)
\(44\) −23.5332 13.5869i −3.54776 2.04830i
\(45\) 0.725758 + 0.0477132i 0.108190 + 0.00711266i
\(46\) −3.86371 + 6.69215i −0.569673 + 0.986703i
\(47\) 0.0888026 0.153811i 0.0129532 0.0224356i −0.859476 0.511176i \(-0.829210\pi\)
0.872429 + 0.488740i \(0.162543\pi\)
\(48\) 0.846911 25.7923i 0.122241 3.72279i
\(49\) −6.83348 + 1.51775i −0.976211 + 0.216822i
\(50\) −11.6885 6.74837i −1.65301 0.954363i
\(51\) 5.34871 2.85827i 0.748970 0.400237i
\(52\) 12.4530 15.2511i 1.72691 2.11495i
\(53\) −3.86514 + 2.23154i −0.530918 + 0.306526i −0.741390 0.671074i \(-0.765833\pi\)
0.210472 + 0.977600i \(0.432500\pi\)
\(54\) −5.85373 12.9297i −0.796592 1.75951i
\(55\) −1.04479 0.603207i −0.140879 0.0813365i
\(56\) 24.8615 2.72771i 3.32226 0.364505i
\(57\) 1.59857 2.57014i 0.211736 0.340424i
\(58\) −2.65427 −0.348523
\(59\) −1.35742 + 2.35112i −0.176721 + 0.306090i −0.940756 0.339086i \(-0.889882\pi\)
0.764034 + 0.645175i \(0.223216\pi\)
\(60\) 0.0752562 2.29189i 0.00971553 0.295882i
\(61\) 8.90472i 1.14013i −0.821599 0.570066i \(-0.806918\pi\)
0.821599 0.570066i \(-0.193082\pi\)
\(62\) 7.80717 13.5224i 0.991512 1.71735i
\(63\) 6.69422 4.26467i 0.843393 0.537298i
\(64\) −29.7205 −3.71506
\(65\) 0.552865 0.677091i 0.0685744 0.0839828i
\(66\) −0.772608 + 23.5294i −0.0951014 + 2.89627i
\(67\) 1.28614 0.157127 0.0785637 0.996909i \(-0.474967\pi\)
0.0785637 + 0.996909i \(0.474967\pi\)
\(68\) −9.56019 16.5587i −1.15934 2.00804i
\(69\) 4.89742 + 0.160811i 0.589580 + 0.0193594i
\(70\) 1.74161 0.191083i 0.208163 0.0228388i
\(71\) −3.46933 + 2.00302i −0.411734 + 0.237715i −0.691535 0.722343i \(-0.743065\pi\)
0.279800 + 0.960058i \(0.409732\pi\)
\(72\) −25.4373 + 12.5380i −2.99782 + 1.47762i
\(73\) 2.79901 1.61601i 0.327599 0.189140i −0.327175 0.944964i \(-0.606097\pi\)
0.654775 + 0.755824i \(0.272763\pi\)
\(74\) −16.5345 9.54619i −1.92210 1.10972i
\(75\) −0.280873 + 8.55384i −0.0324324 + 0.987712i
\(76\) −8.26425 4.77137i −0.947974 0.547313i
\(77\) −13.0870 + 1.43585i −1.49140 + 0.163631i
\(78\) −16.7381 3.28792i −1.89521 0.372284i
\(79\) 1.62940 2.82221i 0.183322 0.317523i −0.759688 0.650288i \(-0.774648\pi\)
0.943010 + 0.332765i \(0.107982\pi\)
\(80\) −3.61218 −0.403854
\(81\) −5.48168 + 7.13801i −0.609076 + 0.793112i
\(82\) 4.37239i 0.482850i
\(83\) 11.4444 1.25619 0.628095 0.778137i \(-0.283835\pi\)
0.628095 + 0.778137i \(0.283835\pi\)
\(84\) −14.1312 20.6531i −1.54184 2.25344i
\(85\) −0.424437 0.735146i −0.0460366 0.0797377i
\(86\) 5.54210 + 3.19973i 0.597620 + 0.345036i
\(87\) 0.793263 + 1.48445i 0.0850468 + 0.159149i
\(88\) 47.0400 5.01448
\(89\) 4.87310 + 8.44046i 0.516548 + 0.894687i 0.999815 + 0.0192147i \(0.00611659\pi\)
−0.483267 + 0.875473i \(0.660550\pi\)
\(90\) −1.78195 + 0.878322i −0.187834 + 0.0925832i
\(91\) 0.494502 9.52657i 0.0518379 0.998656i
\(92\) 15.4490i 1.61067i
\(93\) −9.89592 0.324941i −1.02616 0.0336948i
\(94\) 0.485121i 0.0500364i
\(95\) −0.366902 0.211831i −0.0376433 0.0217334i
\(96\) 17.7880 + 33.2870i 1.81548 + 3.39734i
\(97\) −4.44012 + 2.56350i −0.450826 + 0.260284i −0.708179 0.706033i \(-0.750483\pi\)
0.257353 + 0.966317i \(0.417150\pi\)
\(98\) 14.0918 12.9229i 1.42349 1.30541i
\(99\) 13.3901 6.59997i 1.34576 0.663322i
\(100\) 26.9833 2.69833
\(101\) −15.6200 −1.55424 −0.777122 0.629350i \(-0.783321\pi\)
−0.777122 + 0.629350i \(0.783321\pi\)
\(102\) −8.74882 + 14.0661i −0.866263 + 1.39276i
\(103\) −3.43624 1.98391i −0.338583 0.195481i 0.321062 0.947058i \(-0.395960\pi\)
−0.659645 + 0.751577i \(0.729293\pi\)
\(104\) −5.46854 + 33.6423i −0.536234 + 3.29890i
\(105\) −0.627371 0.916919i −0.0612251 0.0894822i
\(106\) 6.09536 10.5575i 0.592033 1.02543i
\(107\) 11.1005 6.40888i 1.07313 0.619570i 0.144092 0.989564i \(-0.453974\pi\)
0.929034 + 0.369995i \(0.120640\pi\)
\(108\) 23.0599 + 16.5349i 2.21894 + 1.59107i
\(109\) −5.46755 9.47008i −0.523696 0.907069i −0.999620 0.0275819i \(-0.991219\pi\)
0.475923 0.879487i \(-0.342114\pi\)
\(110\) 3.29527 0.314192
\(111\) −0.397320 + 12.1002i −0.0377120 + 1.14850i
\(112\) −31.7851 + 23.3154i −3.00341 + 2.20310i
\(113\) 8.18524 4.72575i 0.770002 0.444561i −0.0628730 0.998022i \(-0.520026\pi\)
0.832875 + 0.553460i \(0.186693\pi\)
\(114\) −0.271320 + 8.26291i −0.0254114 + 0.773893i
\(115\) 0.685879i 0.0639586i
\(116\) 4.59560 2.65327i 0.426690 0.246350i
\(117\) 3.16357 + 10.3437i 0.292472 + 0.956274i
\(118\) 7.41547i 0.682649i
\(119\) −8.47991 3.72927i −0.777352 0.341861i
\(120\) 1.87090 + 3.50104i 0.170789 + 0.319600i
\(121\) −13.7616 −1.25106
\(122\) 12.1614 + 21.0642i 1.10104 + 1.90706i
\(123\) −2.44534 + 1.30675i −0.220488 + 0.117825i
\(124\) 31.2169i 2.80336i
\(125\) 2.41016 0.215572
\(126\) −10.0109 + 19.2306i −0.891840 + 1.71320i
\(127\) −9.34664 + 16.1889i −0.829380 + 1.43653i 0.0691447 + 0.997607i \(0.477973\pi\)
−0.898525 + 0.438922i \(0.855360\pi\)
\(128\) 32.5625 18.8000i 2.87815 1.66170i
\(129\) 0.133176 4.05580i 0.0117255 0.357093i
\(130\) −0.383085 + 2.35673i −0.0335988 + 0.206699i
\(131\) −2.66426 + 4.61464i −0.232778 + 0.403183i −0.958624 0.284674i \(-0.908115\pi\)
0.725847 + 0.687856i \(0.241448\pi\)
\(132\) −22.1828 41.5110i −1.93077 3.61307i
\(133\) −4.59582 + 0.504235i −0.398508 + 0.0437227i
\(134\) −3.04238 + 1.75652i −0.262822 + 0.151740i
\(135\) 1.02378 + 0.734088i 0.0881126 + 0.0631803i
\(136\) 28.6645 + 16.5494i 2.45796 + 1.41910i
\(137\) −4.30573 2.48591i −0.367863 0.212386i 0.304661 0.952461i \(-0.401457\pi\)
−0.672524 + 0.740075i \(0.734790\pi\)
\(138\) −11.8045 + 6.30814i −1.00487 + 0.536985i
\(139\) −7.04418 + 4.06696i −0.597480 + 0.344955i −0.768050 0.640390i \(-0.778773\pi\)
0.170570 + 0.985346i \(0.445439\pi\)
\(140\) −2.82441 + 2.07180i −0.238707 + 0.175099i
\(141\) 0.271312 0.144985i 0.0228486 0.0122099i
\(142\) 5.47116 9.47633i 0.459130 0.795236i
\(143\) 2.87862 17.7092i 0.240722 1.48092i
\(144\) 24.8400 37.1598i 2.07000 3.09665i
\(145\) 0.204027 0.117795i 0.0169435 0.00978236i
\(146\) −4.41406 + 7.64537i −0.365310 + 0.632736i
\(147\) −11.4389 4.01890i −0.943464 0.331474i
\(148\) 38.1704 3.13758
\(149\) 12.6757i 1.03843i 0.854643 + 0.519216i \(0.173776\pi\)
−0.854643 + 0.519216i \(0.826224\pi\)
\(150\) −11.0178 20.6178i −0.899600 1.68344i
\(151\) −3.97440 6.88386i −0.323432 0.560200i 0.657762 0.753226i \(-0.271503\pi\)
−0.981194 + 0.193026i \(0.938170\pi\)
\(152\) 16.5192 1.33989
\(153\) 10.4814 + 0.689077i 0.847374 + 0.0557085i
\(154\) 28.9965 21.2698i 2.33660 1.71397i
\(155\) 1.38591i 0.111319i
\(156\) 32.2669 11.0391i 2.58342 0.883832i
\(157\) −4.27648 + 2.46902i −0.341300 + 0.197050i −0.660847 0.750521i \(-0.729803\pi\)
0.319547 + 0.947571i \(0.396469\pi\)
\(158\) 8.90128i 0.708148i
\(159\) −7.72612 0.253694i −0.612721 0.0201192i
\(160\) 4.57508 2.64142i 0.361692 0.208823i
\(161\) −4.42711 6.03534i −0.348905 0.475652i
\(162\) 3.21840 24.3715i 0.252862 1.91481i
\(163\) −2.42355 −0.189827 −0.0949136 0.995486i \(-0.530257\pi\)
−0.0949136 + 0.995486i \(0.530257\pi\)
\(164\) 4.37074 + 7.57035i 0.341298 + 0.591145i
\(165\) −0.984835 1.84294i −0.0766693 0.143472i
\(166\) −27.0719 + 15.6300i −2.10119 + 1.21312i
\(167\) −0.976653 + 1.69161i −0.0755757 + 0.130901i −0.901336 0.433120i \(-0.857413\pi\)
0.825761 + 0.564020i \(0.190746\pi\)
\(168\) 39.0609 + 18.7312i 3.01361 + 1.44514i
\(169\) 12.3307 + 4.11749i 0.948516 + 0.316730i
\(170\) 2.00802 + 1.15933i 0.154008 + 0.0889165i
\(171\) 4.70226 2.31774i 0.359591 0.177242i
\(172\) −12.7941 −0.975541
\(173\) −21.7119 −1.65072 −0.825361 0.564605i \(-0.809028\pi\)
−0.825361 + 0.564605i \(0.809028\pi\)
\(174\) −3.90382 2.42809i −0.295948 0.184073i
\(175\) 10.5413 7.73240i 0.796850 0.584515i
\(176\) −64.2071 + 37.0700i −4.83980 + 2.79426i
\(177\) −4.14723 + 2.21621i −0.311725 + 0.166581i
\(178\) −23.0548 13.3107i −1.72803 0.997677i
\(179\) 0.0522382i 0.00390447i 0.999998 + 0.00195223i \(0.000621416\pi\)
−0.999998 + 0.00195223i \(0.999379\pi\)
\(180\) 2.20727 3.30200i 0.164521 0.246117i
\(181\) 26.7193i 1.98603i 0.117984 + 0.993016i \(0.462357\pi\)
−0.117984 + 0.993016i \(0.537643\pi\)
\(182\) 11.8409 + 23.2105i 0.877710 + 1.72048i
\(183\) 8.14591 13.0968i 0.602163 0.968143i
\(184\) 13.3717 + 23.1605i 0.985778 + 1.70742i
\(185\) 1.69462 0.124591
\(186\) 23.8527 12.7465i 1.74896 0.934617i
\(187\) −15.0889 8.71156i −1.10341 0.637052i
\(188\) −0.484938 0.839937i −0.0353677 0.0612587i
\(189\) 13.7469 0.148564i 0.999942 0.0108065i
\(190\) 1.15721 0.0839531
\(191\) 15.6304i 1.13097i −0.824758 0.565486i \(-0.808688\pi\)
0.824758 0.565486i \(-0.191312\pi\)
\(192\) −43.7121 27.1879i −3.15465 1.96212i
\(193\) −2.59092 −0.186498 −0.0932492 0.995643i \(-0.529725\pi\)
−0.0932492 + 0.995643i \(0.529725\pi\)
\(194\) 7.00210 12.1280i 0.502721 0.870739i
\(195\) 1.43253 0.490093i 0.102586 0.0350963i
\(196\) −11.4805 + 36.4612i −0.820035 + 2.60437i
\(197\) −2.94058 1.69774i −0.209507 0.120959i 0.391575 0.920146i \(-0.371930\pi\)
−0.601082 + 0.799187i \(0.705264\pi\)
\(198\) −22.6607 + 33.8996i −1.61042 + 2.40914i
\(199\) −18.0893 10.4438i −1.28231 0.740345i −0.305044 0.952338i \(-0.598671\pi\)
−0.977271 + 0.211994i \(0.932004\pi\)
\(200\) −40.4522 + 23.3551i −2.86040 + 1.65145i
\(201\) 1.89162 + 1.17655i 0.133425 + 0.0829871i
\(202\) 36.9492 21.3326i 2.59973 1.50096i
\(203\) 1.03500 2.35346i 0.0726424 0.165180i
\(204\) 1.08685 33.0996i 0.0760950 2.31744i
\(205\) 0.194045 + 0.336095i 0.0135527 + 0.0234739i
\(206\) 10.8380 0.755116
\(207\) 7.05587 + 4.71661i 0.490417 + 0.327827i
\(208\) −19.0477 50.2295i −1.32072 3.48279i
\(209\) −8.69565 −0.601491
\(210\) 2.73631 + 1.31217i 0.188824 + 0.0905480i
\(211\) 9.28611 16.0840i 0.639282 1.10727i −0.346308 0.938121i \(-0.612565\pi\)
0.985591 0.169149i \(-0.0541018\pi\)
\(212\) 24.3722i 1.67389i
\(213\) −6.93493 0.227714i −0.475174 0.0156027i
\(214\) −17.5056 + 30.3205i −1.19666 + 2.07267i
\(215\) −0.568011 −0.0387380
\(216\) −48.8821 4.82915i −3.32601 0.328582i
\(217\) 8.94560 + 12.1952i 0.607267 + 0.827867i
\(218\) 25.8671 + 14.9344i 1.75194 + 1.01148i
\(219\) 5.59501 + 0.183717i 0.378075 + 0.0124144i
\(220\) −5.70542 + 3.29403i −0.384659 + 0.222083i
\(221\) 7.98450 9.77859i 0.537096 0.657779i
\(222\) −15.5857 29.1658i −1.04604 1.95748i
\(223\) 2.36920 + 1.36786i 0.158653 + 0.0915985i 0.577225 0.816585i \(-0.304136\pi\)
−0.418571 + 0.908184i \(0.637469\pi\)
\(224\) 23.2086 52.7735i 1.55069 3.52608i
\(225\) −8.23803 + 12.3238i −0.549202 + 0.821586i
\(226\) −12.9082 + 22.3576i −0.858639 + 1.48721i
\(227\) −11.0625 + 19.1608i −0.734245 + 1.27175i 0.220809 + 0.975317i \(0.429130\pi\)
−0.955054 + 0.296432i \(0.904203\pi\)
\(228\) −7.79004 14.5776i −0.515908 0.965426i
\(229\) 16.2823 + 9.40060i 1.07597 + 0.621209i 0.929805 0.368052i \(-0.119975\pi\)
0.146160 + 0.989261i \(0.453309\pi\)
\(230\) 0.936724 + 1.62245i 0.0617658 + 0.106981i
\(231\) −20.5615 9.86000i −1.35285 0.648741i
\(232\) −4.59302 + 7.95534i −0.301546 + 0.522293i
\(233\) 19.5867 + 11.3084i 1.28317 + 0.740838i 0.977427 0.211276i \(-0.0677617\pi\)
0.305743 + 0.952114i \(0.401095\pi\)
\(234\) −21.6101 20.1475i −1.41270 1.31709i
\(235\) −0.0215294 0.0372901i −0.00140443 0.00243254i
\(236\) 7.41267 + 12.8391i 0.482524 + 0.835756i
\(237\) 4.97819 2.66027i 0.323369 0.172803i
\(238\) 25.1525 2.75963i 1.63039 0.178880i
\(239\) 27.8498i 1.80145i 0.434385 + 0.900727i \(0.356966\pi\)
−0.434385 + 0.900727i \(0.643034\pi\)
\(240\) −5.31269 3.30438i −0.342933 0.213297i
\(241\) 14.8569 + 8.57766i 0.957019 + 0.552535i 0.895254 0.445555i \(-0.146994\pi\)
0.0617650 + 0.998091i \(0.480327\pi\)
\(242\) 32.5533 18.7947i 2.09261 1.20817i
\(243\) −14.5920 + 5.48380i −0.936080 + 0.351786i
\(244\) −42.1125 24.3137i −2.69598 1.55652i
\(245\) −0.509691 + 1.61874i −0.0325630 + 0.103418i
\(246\) 3.99980 6.43079i 0.255018 0.410012i
\(247\) 1.01090 6.21901i 0.0643218 0.395706i
\(248\) −27.0195 46.7991i −1.71574 2.97174i
\(249\) 16.8321 + 10.4692i 1.06669 + 0.663459i
\(250\) −5.70127 + 3.29163i −0.360580 + 0.208181i
\(251\) −1.46702 2.54096i −0.0925977 0.160384i 0.816006 0.578044i \(-0.196184\pi\)
−0.908603 + 0.417660i \(0.862850\pi\)
\(252\) −1.89054 43.3029i −0.119093 2.72783i
\(253\) −7.03883 12.1916i −0.442527 0.766480i
\(254\) 51.0599i 3.20378i
\(255\) 0.0482523 1.46950i 0.00302167 0.0920236i
\(256\) −21.6308 + 37.4656i −1.35192 + 2.34160i
\(257\) 10.7593 + 18.6356i 0.671145 + 1.16246i 0.977580 + 0.210566i \(0.0675306\pi\)
−0.306435 + 0.951892i \(0.599136\pi\)
\(258\) 5.22409 + 9.77591i 0.325237 + 0.608622i
\(259\) 14.9117 10.9382i 0.926568 0.679667i
\(260\) −1.69257 4.46338i −0.104969 0.276807i
\(261\) −0.191242 + 2.90894i −0.0118376 + 0.180059i
\(262\) 14.5546i 0.899188i
\(263\) 14.0559i 0.866725i −0.901220 0.433363i \(-0.857327\pi\)
0.901220 0.433363i \(-0.142673\pi\)
\(264\) 69.1850 + 43.0315i 4.25804 + 2.64841i
\(265\) 1.08204i 0.0664690i
\(266\) 10.1828 7.46941i 0.624348 0.457979i
\(267\) −0.554001 + 16.8718i −0.0339043 + 1.03254i
\(268\) 3.51172 6.08247i 0.214512 0.371546i
\(269\) −8.01517 + 13.8827i −0.488693 + 0.846442i −0.999915 0.0130070i \(-0.995860\pi\)
0.511222 + 0.859449i \(0.329193\pi\)
\(270\) −3.42432 0.338294i −0.208397 0.0205879i
\(271\) 4.34810 2.51037i 0.264128 0.152494i −0.362088 0.932144i \(-0.617936\pi\)
0.626216 + 0.779649i \(0.284603\pi\)
\(272\) −52.1674 −3.16311
\(273\) 9.44207 13.5590i 0.571460 0.820630i
\(274\) 13.5803 0.820417
\(275\) 21.2939 12.2940i 1.28407 0.741358i
\(276\) 14.1326 22.7220i 0.850680 1.36770i
\(277\) 5.69200 9.85883i 0.341999 0.592359i −0.642805 0.766030i \(-0.722229\pi\)
0.984804 + 0.173670i \(0.0555628\pi\)
\(278\) 11.1087 19.2409i 0.666257 1.15399i
\(279\) −14.2574 9.53056i −0.853567 0.570580i
\(280\) 2.44102 5.55059i 0.145879 0.331711i
\(281\) 29.0630i 1.73376i −0.498521 0.866878i \(-0.666123\pi\)
0.498521 0.866878i \(-0.333877\pi\)
\(282\) −0.443782 + 0.713502i −0.0264268 + 0.0424884i
\(283\) 22.7932i 1.35491i 0.735563 + 0.677456i \(0.236918\pi\)
−0.735563 + 0.677456i \(0.763082\pi\)
\(284\) 21.8764i 1.29813i
\(285\) −0.345849 0.647191i −0.0204863 0.0383363i
\(286\) 17.3765 + 45.8227i 1.02750 + 2.70955i
\(287\) 3.87686 + 1.70495i 0.228844 + 0.100640i
\(288\) −4.28837 + 65.2297i −0.252695 + 3.84370i
\(289\) 2.37026 + 4.10542i 0.139427 + 0.241495i
\(290\) −0.321752 + 0.557292i −0.0188940 + 0.0327253i
\(291\) −8.87546 0.291433i −0.520288 0.0170841i
\(292\) 17.6496i 1.03286i
\(293\) 11.2367 + 19.4625i 0.656453 + 1.13701i 0.981527 + 0.191321i \(0.0612772\pi\)
−0.325075 + 0.945688i \(0.605389\pi\)
\(294\) 32.5476 6.11567i 1.89821 0.356673i
\(295\) 0.329095 + 0.570009i 0.0191606 + 0.0331872i
\(296\) −57.2234 + 33.0380i −3.32604 + 1.92029i
\(297\) 25.7314 + 2.54204i 1.49308 + 0.147504i
\(298\) −17.3115 29.9844i −1.00283 1.73695i
\(299\) 9.53755 3.61676i 0.551571 0.209163i
\(300\) 39.6862 + 24.6839i 2.29128 + 1.42513i
\(301\) −4.99817 + 3.66631i −0.288090 + 0.211323i
\(302\) 18.8030 + 10.8559i 1.08199 + 0.624686i
\(303\) −22.9734 14.2889i −1.31979 0.820877i
\(304\) −22.5479 + 13.0180i −1.29321 + 0.746635i
\(305\) −1.86964 1.07944i −0.107055 0.0618083i
\(306\) −25.7350 + 12.6848i −1.47117 + 0.725140i
\(307\) 13.6897i 0.781311i 0.920537 + 0.390655i \(0.127752\pi\)
−0.920537 + 0.390655i \(0.872248\pi\)
\(308\) −28.9426 + 65.8121i −1.64916 + 3.74999i
\(309\) −3.23907 6.06131i −0.184264 0.344816i
\(310\) −1.89278 3.27839i −0.107503 0.186200i
\(311\) −7.08147 12.2655i −0.401553 0.695511i 0.592360 0.805673i \(-0.298196\pi\)
−0.993914 + 0.110162i \(0.964863\pi\)
\(312\) −38.8185 + 44.4776i −2.19766 + 2.51805i
\(313\) −16.5156 9.53529i −0.933518 0.538967i −0.0455953 0.998960i \(-0.514518\pi\)
−0.887922 + 0.459993i \(0.847852\pi\)
\(314\) 6.74403 11.6810i 0.380588 0.659197i
\(315\) −0.0839329 1.92249i −0.00472908 0.108320i
\(316\) −8.89793 15.4117i −0.500548 0.866974i
\(317\) 0.960262 + 0.554408i 0.0539337 + 0.0311386i 0.526724 0.850036i \(-0.323420\pi\)
−0.472791 + 0.881175i \(0.656753\pi\)
\(318\) 18.6227 9.95166i 1.04431 0.558062i
\(319\) 2.41775 4.18766i 0.135368 0.234464i
\(320\) −3.60274 + 6.24013i −0.201399 + 0.348834i
\(321\) 22.1891 + 0.728597i 1.23847 + 0.0406663i
\(322\) 18.7150 + 8.23043i 1.04295 + 0.458664i
\(323\) −5.29882 3.05927i −0.294834 0.170223i
\(324\) 18.7900 + 45.4140i 1.04389 + 2.52300i
\(325\) 6.31704 + 16.6583i 0.350406 + 0.924036i
\(326\) 5.73294 3.30991i 0.317518 0.183319i
\(327\) 0.621581 18.9300i 0.0343735 1.04683i
\(328\) −13.1049 7.56610i −0.723596 0.417768i
\(329\) −0.430141 0.189166i −0.0237145 0.0104291i
\(330\) 4.84659 + 3.01447i 0.266796 + 0.165941i
\(331\) 15.1594 0.833236 0.416618 0.909082i \(-0.363215\pi\)
0.416618 + 0.909082i \(0.363215\pi\)
\(332\) 31.2482 54.1234i 1.71497 2.97041i
\(333\) −11.6535 + 17.4332i −0.638606 + 0.955331i
\(334\) 5.33537i 0.291938i
\(335\) 0.155907 0.270039i 0.00851812 0.0147538i
\(336\) −68.0773 + 5.21500i −3.71392 + 0.284502i
\(337\) −5.88499 −0.320576 −0.160288 0.987070i \(-0.551242\pi\)
−0.160288 + 0.987070i \(0.551242\pi\)
\(338\) −34.7918 + 7.10042i −1.89242 + 0.386212i
\(339\) 16.3617 + 0.537249i 0.888643 + 0.0291794i
\(340\) −4.63557 −0.251399
\(341\) 14.2229 + 24.6348i 0.770215 + 1.33405i
\(342\) −7.95785 + 11.9047i −0.430311 + 0.643730i
\(343\) 5.96344 + 17.5339i 0.321996 + 0.946741i
\(344\) 19.1804 11.0738i 1.03414 0.597059i
\(345\) 0.627433 1.00877i 0.0337798 0.0543104i
\(346\) 51.3596 29.6525i 2.76111 1.59413i
\(347\) 17.2777 + 9.97531i 0.927518 + 0.535503i 0.886026 0.463636i \(-0.153456\pi\)
0.0414920 + 0.999139i \(0.486789\pi\)
\(348\) 9.18624 + 0.301638i 0.492434 + 0.0161695i
\(349\) −10.9042 6.29554i −0.583688 0.336993i 0.178909 0.983866i \(-0.442743\pi\)
−0.762598 + 0.646873i \(0.776076\pi\)
\(350\) −14.3753 + 32.6877i −0.768391 + 1.74723i
\(351\) −4.80938 + 18.1072i −0.256706 + 0.966490i
\(352\) 54.2151 93.9034i 2.88968 5.00507i
\(353\) −21.6588 −1.15278 −0.576391 0.817174i \(-0.695539\pi\)
−0.576391 + 0.817174i \(0.695539\pi\)
\(354\) 6.78357 10.9065i 0.360543 0.579671i
\(355\) 0.971231i 0.0515476i
\(356\) 53.2226 2.82079
\(357\) −9.06052 13.2422i −0.479534 0.700852i
\(358\) −0.0713432 0.123570i −0.00377060 0.00653088i
\(359\) −27.7586 16.0264i −1.46504 0.845843i −0.465805 0.884888i \(-0.654235\pi\)
−0.999237 + 0.0390450i \(0.987568\pi\)
\(360\) −0.451041 + 6.86071i −0.0237719 + 0.361591i
\(361\) 15.9463 0.839280
\(362\) −36.4913 63.2048i −1.91794 3.32197i
\(363\) −20.2402 12.5890i −1.06234 0.660749i
\(364\) −43.7032 28.3502i −2.29067 1.48595i
\(365\) 0.783575i 0.0410142i
\(366\) −1.38258 + 42.1057i −0.0722685 + 2.20090i
\(367\) 19.1758i 1.00097i 0.865746 + 0.500484i \(0.166844\pi\)
−0.865746 + 0.500484i \(0.833156\pi\)
\(368\) −36.5035 21.0753i −1.90288 1.09863i
\(369\) −4.79192 0.315033i −0.249458 0.0164000i
\(370\) −4.00865 + 2.31439i −0.208400 + 0.120320i
\(371\) 6.98417 + 9.52130i 0.362600 + 0.494321i
\(372\) −28.5568 + 45.9129i −1.48060 + 2.38047i
\(373\) −28.7421 −1.48821 −0.744104 0.668063i \(-0.767123\pi\)
−0.744104 + 0.668063i \(0.767123\pi\)
\(374\) 47.5905 2.46084
\(375\) 3.54480 + 2.20479i 0.183053 + 0.113855i
\(376\) 1.45400 + 0.839466i 0.0749842 + 0.0432921i
\(377\) 2.71388 + 2.21596i 0.139772 + 0.114128i
\(378\) −32.3156 + 19.1260i −1.66213 + 0.983735i
\(379\) 12.6385 21.8905i 0.649195 1.12444i −0.334121 0.942530i \(-0.608439\pi\)
0.983316 0.181908i \(-0.0582273\pi\)
\(380\) −2.00360 + 1.15678i −0.102782 + 0.0593414i
\(381\) −28.5561 + 15.2599i −1.46297 + 0.781789i
\(382\) 21.3468 + 36.9738i 1.09220 + 1.89174i
\(383\) −11.1010 −0.567235 −0.283618 0.958937i \(-0.591535\pi\)
−0.283618 + 0.958937i \(0.591535\pi\)
\(384\) 65.0899 + 2.13728i 3.32161 + 0.109068i
\(385\) −1.28494 + 2.92181i −0.0654868 + 0.148909i
\(386\) 6.12884 3.53849i 0.311950 0.180104i
\(387\) 3.90606 5.84332i 0.198556 0.297033i
\(388\) 27.9978i 1.42137i
\(389\) 6.68061 3.85705i 0.338721 0.195560i −0.320986 0.947084i \(-0.604014\pi\)
0.659706 + 0.751524i \(0.270681\pi\)
\(390\) −2.71933 + 3.11577i −0.137699 + 0.157773i
\(391\) 9.90550i 0.500943i
\(392\) −14.3476 64.5980i −0.724662 3.26269i
\(393\) −8.13992 + 4.34984i −0.410605 + 0.219420i
\(394\) 9.27462 0.467249
\(395\) −0.395035 0.684220i −0.0198764 0.0344269i
\(396\) 5.34788 81.3458i 0.268741 4.08778i
\(397\) 34.3242i 1.72268i 0.508028 + 0.861340i \(0.330375\pi\)
−0.508028 + 0.861340i \(0.669625\pi\)
\(398\) 57.0538 2.85985
\(399\) −7.22067 3.46258i −0.361485 0.173346i
\(400\) 36.8101 63.7570i 1.84051 3.18785i
\(401\) 6.55734 3.78588i 0.327458 0.189058i −0.327254 0.944936i \(-0.606123\pi\)
0.654712 + 0.755878i \(0.272790\pi\)
\(402\) −6.08149 0.199691i −0.303317 0.00995968i
\(403\) −19.2719 + 7.30817i −0.960004 + 0.364046i
\(404\) −42.6491 + 73.8705i −2.12187 + 3.67519i
\(405\) 0.834205 + 2.01621i 0.0414520 + 0.100186i
\(406\) 0.765888 + 6.98065i 0.0380104 + 0.346444i
\(407\) 30.1222 17.3910i 1.49310 0.862042i
\(408\) 27.0197 + 50.5623i 1.33767 + 2.50321i
\(409\) −31.0099 17.9036i −1.53334 0.885274i −0.999205 0.0398745i \(-0.987304\pi\)
−0.534135 0.845399i \(-0.679362\pi\)
\(410\) −0.918030 0.530025i −0.0453383 0.0261761i
\(411\) −4.05866 7.59503i −0.200199 0.374635i
\(412\) −18.7648 + 10.8339i −0.924476 + 0.533746i
\(413\) 6.57506 + 2.89156i 0.323538 + 0.142284i
\(414\) −23.1323 1.52078i −1.13689 0.0747423i
\(415\) 1.38730 2.40288i 0.0681000 0.117953i
\(416\) 60.8557 + 49.6905i 2.98370 + 2.43627i
\(417\) −14.0808 0.462355i −0.689539 0.0226416i
\(418\) 20.5697 11.8759i 1.00609 0.580869i
\(419\) 6.81971 11.8121i 0.333165 0.577058i −0.649966 0.759963i \(-0.725217\pi\)
0.983131 + 0.182905i \(0.0585501\pi\)
\(420\) −6.04932 + 0.463403i −0.295176 + 0.0226117i
\(421\) −25.9264 −1.26358 −0.631789 0.775140i \(-0.717679\pi\)
−0.631789 + 0.775140i \(0.717679\pi\)
\(422\) 50.7292i 2.46946i
\(423\) 0.531668 + 0.0349532i 0.0258506 + 0.00169948i
\(424\) −21.0951 36.5378i −1.02447 1.77443i
\(425\) 17.3010 0.839220
\(426\) 16.7156 8.93257i 0.809876 0.432784i
\(427\) −23.4191 + 2.56945i −1.13333 + 0.124345i
\(428\) 69.9959i 3.38338i
\(429\) 20.4339 23.4128i 0.986558 1.13038i
\(430\) 1.34363 0.775748i 0.0647958 0.0374099i
\(431\) 8.43762i 0.406426i 0.979135 + 0.203213i \(0.0651384\pi\)
−0.979135 + 0.203213i \(0.934862\pi\)
\(432\) 70.5272 31.9302i 3.39324 1.53624i
\(433\) 15.6475 9.03407i 0.751970 0.434150i −0.0744355 0.997226i \(-0.523715\pi\)
0.826405 + 0.563076i \(0.190382\pi\)
\(434\) −37.8163 16.6307i −1.81524 0.798301i
\(435\) 0.407835 + 0.0133916i 0.0195542 + 0.000642078i
\(436\) −59.7150 −2.85983
\(437\) −2.47186 4.28138i −0.118245 0.204806i
\(438\) −13.4860 + 7.20667i −0.644384 + 0.344348i
\(439\) 25.9812 15.0002i 1.24001 0.715922i 0.270916 0.962603i \(-0.412673\pi\)
0.969097 + 0.246681i \(0.0793400\pi\)
\(440\) 5.70222 9.87653i 0.271843 0.470845i
\(441\) −13.1476 16.3750i −0.626074 0.779763i
\(442\) −5.53253 + 34.0360i −0.263156 + 1.61893i
\(443\) 6.37019 + 3.67783i 0.302657 + 0.174739i 0.643636 0.765332i \(-0.277425\pi\)
−0.340979 + 0.940071i \(0.610758\pi\)
\(444\) 56.1399 + 34.9177i 2.66428 + 1.65712i
\(445\) 2.36289 0.112012
\(446\) −7.47249 −0.353833
\(447\) −11.5955 + 18.6430i −0.548450 + 0.881784i
\(448\) 8.57585 + 78.1641i 0.405171 + 3.69290i
\(449\) −1.54734 + 0.893359i −0.0730237 + 0.0421602i −0.536067 0.844175i \(-0.680091\pi\)
0.463044 + 0.886336i \(0.346757\pi\)
\(450\) 2.65620 40.4030i 0.125214 1.90461i
\(451\) 6.89835 + 3.98277i 0.324831 + 0.187541i
\(452\) 51.6132i 2.42768i
\(453\) 0.451831 13.7603i 0.0212289 0.646515i
\(454\) 60.4335i 2.83629i
\(455\) −1.94026 1.25864i −0.0909607 0.0590061i
\(456\) 24.2960 + 15.1116i 1.13776 + 0.707663i
\(457\) 2.09474 + 3.62819i 0.0979877 + 0.169720i 0.910852 0.412734i \(-0.135426\pi\)
−0.812864 + 0.582454i \(0.802093\pi\)
\(458\) −51.3546 −2.39964
\(459\) 14.7854 + 10.6017i 0.690125 + 0.494847i
\(460\) −3.24368 1.87274i −0.151238 0.0873171i
\(461\) −5.15059 8.92108i −0.239887 0.415496i 0.720795 0.693149i \(-0.243777\pi\)
−0.960682 + 0.277652i \(0.910444\pi\)
\(462\) 62.1045 4.75746i 2.88936 0.221337i
\(463\) 16.7671 0.779234 0.389617 0.920977i \(-0.372607\pi\)
0.389617 + 0.920977i \(0.372607\pi\)
\(464\) 14.4782i 0.672132i
\(465\) −1.26782 + 2.03836i −0.0587935 + 0.0945268i
\(466\) −61.7768 −2.86176
\(467\) −6.07534 + 10.5228i −0.281133 + 0.486937i −0.971664 0.236366i \(-0.924044\pi\)
0.690531 + 0.723303i \(0.257377\pi\)
\(468\) 57.5556 + 13.2814i 2.66051 + 0.613934i
\(469\) −0.371116 3.38252i −0.0171365 0.156190i
\(470\) 0.101856 + 0.0588067i 0.00469828 + 0.00271255i
\(471\) −8.54835 0.280692i −0.393887 0.0129336i
\(472\) −22.2255 12.8319i −1.02301 0.590637i
\(473\) −10.0965 + 5.82921i −0.464237 + 0.268027i
\(474\) −8.14277 + 13.0917i −0.374010 + 0.601324i
\(475\) 7.47786 4.31735i 0.343108 0.198093i
\(476\) −40.7904 + 29.9210i −1.86962 + 1.37143i
\(477\) −11.1313 7.44087i −0.509666 0.340694i
\(478\) −38.0353 65.8790i −1.73969 3.01324i
\(479\) −33.8822 −1.54812 −0.774059 0.633113i \(-0.781777\pi\)
−0.774059 + 0.633113i \(0.781777\pi\)
\(480\) 9.14522 + 0.300291i 0.417420 + 0.0137064i
\(481\) 8.93603 + 23.5647i 0.407448 + 1.07446i
\(482\) −46.8590 −2.13437
\(483\) −0.990221 12.9265i −0.0450566 0.588175i
\(484\) −37.5752 + 65.0821i −1.70796 + 2.95828i
\(485\) 1.24300i 0.0564417i
\(486\) 27.0283 32.9008i 1.22603 1.49241i
\(487\) 11.3379 19.6379i 0.513771 0.889877i −0.486102 0.873902i \(-0.661582\pi\)
0.999872 0.0159746i \(-0.00508510\pi\)
\(488\) 84.1778 3.81055
\(489\) −3.56449 2.21703i −0.161192 0.100258i
\(490\) −1.00508 4.52525i −0.0454051 0.204430i
\(491\) 14.8961 + 8.60025i 0.672250 + 0.388124i 0.796929 0.604073i \(-0.206457\pi\)
−0.124678 + 0.992197i \(0.539790\pi\)
\(492\) −0.496890 + 15.1325i −0.0224015 + 0.682228i
\(493\) 2.94657 1.70120i 0.132707 0.0766184i
\(494\) 6.10219 + 16.0917i 0.274550 + 0.724001i
\(495\) 0.237426 3.61145i 0.0106715 0.162323i
\(496\) 73.7604 + 42.5856i 3.31194 + 1.91215i
\(497\) 6.26896 + 8.54627i 0.281201 + 0.383353i
\(498\) −54.1147 1.77690i −2.42494 0.0796249i
\(499\) 5.47911 9.49010i 0.245279 0.424835i −0.716931 0.697144i \(-0.754454\pi\)
0.962210 + 0.272309i \(0.0877872\pi\)
\(500\) 6.58078 11.3982i 0.294301 0.509745i
\(501\) −2.98390 + 1.59455i −0.133311 + 0.0712390i
\(502\) 6.94052 + 4.00711i 0.309770 + 0.178846i
\(503\) −1.81288 3.14001i −0.0808325 0.140006i 0.822775 0.568367i \(-0.192425\pi\)
−0.903608 + 0.428361i \(0.859091\pi\)
\(504\) 40.3146 + 63.2816i 1.79575 + 2.81879i
\(505\) −1.89346 + 3.27957i −0.0842580 + 0.145939i
\(506\) 33.3009 + 19.2263i 1.48040 + 0.854711i
\(507\) 14.3690 + 17.3358i 0.638150 + 0.769912i
\(508\) 51.0406 + 88.4050i 2.26456 + 3.92234i
\(509\) 8.38591 + 14.5248i 0.371699 + 0.643802i 0.989827 0.142276i \(-0.0454420\pi\)
−0.618128 + 0.786077i \(0.712109\pi\)
\(510\) 1.89280 + 3.54202i 0.0838144 + 0.156843i
\(511\) −5.05771 6.89501i −0.223740 0.305017i
\(512\) 42.9671i 1.89889i
\(513\) 9.03619 + 0.892701i 0.398957 + 0.0394137i
\(514\) −50.9024 29.3885i −2.24521 1.29627i
\(515\) −0.833087 + 0.480983i −0.0367102 + 0.0211947i
\(516\) −18.8172 11.7039i −0.828381 0.515234i
\(517\) −0.765378 0.441891i −0.0336613 0.0194344i
\(518\) −20.3352 + 46.2397i −0.893476 + 2.03166i
\(519\) −31.9332 19.8617i −1.40171 0.871832i
\(520\) 6.40066 + 5.22632i 0.280687 + 0.229189i
\(521\) 10.6368 + 18.4234i 0.466006 + 0.807145i 0.999246 0.0388183i \(-0.0123593\pi\)
−0.533241 + 0.845964i \(0.679026\pi\)
\(522\) −3.52044 7.14232i −0.154086 0.312611i
\(523\) −1.68584 + 0.973320i −0.0737166 + 0.0425603i −0.536405 0.843961i \(-0.680218\pi\)
0.462689 + 0.886521i \(0.346885\pi\)
\(524\) 14.5491 + 25.1998i 0.635582 + 1.10086i
\(525\) 22.5774 1.72952i 0.985358 0.0754825i
\(526\) 19.1966 + 33.2494i 0.837010 + 1.44974i
\(527\) 20.0154i 0.871887i
\(528\) −128.345 4.21432i −5.58550 0.183405i
\(529\) −7.49824 + 12.9873i −0.326010 + 0.564666i
\(530\) −1.47777 2.55957i −0.0641901 0.111181i
\(531\) −8.12698 0.534289i −0.352681 0.0231862i
\(532\) −10.1639 + 23.1115i −0.440661 + 1.00201i
\(533\) −3.65037 + 4.47060i −0.158115 + 0.193643i
\(534\) −21.7318 40.6671i −0.940429 1.75984i
\(535\) 3.10756i 0.134351i
\(536\) 12.1581i 0.525151i
\(537\) −0.0477868 + 0.0768304i −0.00206215 + 0.00331548i
\(538\) 43.7861i 1.88775i
\(539\) 7.55251 + 34.0041i 0.325309 + 1.46466i
\(540\) 6.26702 2.83730i 0.269690 0.122098i
\(541\) 17.4672 30.2541i 0.750974 1.30073i −0.196377 0.980529i \(-0.562918\pi\)
0.947351 0.320197i \(-0.103749\pi\)
\(542\) −6.85698 + 11.8766i −0.294532 + 0.510145i
\(543\) −24.4425 + 39.2980i −1.04893 + 1.68644i
\(544\) 66.0735 38.1476i 2.83288 1.63556i
\(545\) −2.65112 −0.113562
\(546\) −3.81737 + 44.9693i −0.163368 + 1.92451i
\(547\) 5.61294 0.239992 0.119996 0.992774i \(-0.461712\pi\)
0.119996 + 0.992774i \(0.461712\pi\)
\(548\) −23.5129 + 13.5752i −1.00442 + 0.579904i
\(549\) 23.9615 11.8106i 1.02265 0.504065i
\(550\) −33.5806 + 58.1633i −1.43188 + 2.48009i
\(551\) 0.849050 1.47060i 0.0361707 0.0626495i
\(552\) −1.52017 + 46.2961i −0.0647029 + 1.97049i
\(553\) −7.89249 3.47093i −0.335623 0.147599i
\(554\) 31.0949i 1.32109i
\(555\) 2.49240 + 1.55022i 0.105796 + 0.0658030i
\(556\) 44.4181i 1.88375i
\(557\) 12.9606i 0.549159i −0.961564 0.274580i \(-0.911461\pi\)
0.961564 0.274580i \(-0.0885387\pi\)
\(558\) 46.7421 + 3.07295i 1.97875 + 0.130088i
\(559\) −2.99522 7.89852i −0.126684 0.334072i
\(560\) 1.04229 + 9.49993i 0.0440450 + 0.401445i
\(561\) −14.2230 26.6158i −0.600497 1.12372i
\(562\) 39.6922 + 68.7489i 1.67431 + 2.90000i
\(563\) 13.2107 22.8817i 0.556766 0.964347i −0.440998 0.897508i \(-0.645375\pi\)
0.997764 0.0668389i \(-0.0212914\pi\)
\(564\) 0.0551304 1.67897i 0.00232141 0.0706974i
\(565\) 2.29144i 0.0964014i
\(566\) −31.1293 53.9175i −1.30846 2.26632i
\(567\) 20.3545 + 12.3570i 0.854808 + 0.518945i
\(568\) −18.9349 32.7962i −0.794490 1.37610i
\(569\) −25.2641 + 14.5862i −1.05913 + 0.611487i −0.925190 0.379503i \(-0.876095\pi\)
−0.133936 + 0.990990i \(0.542762\pi\)
\(570\) 1.70200 + 1.05860i 0.0712888 + 0.0443400i
\(571\) −5.59184 9.68535i −0.234011 0.405319i 0.724974 0.688777i \(-0.241852\pi\)
−0.958985 + 0.283457i \(0.908519\pi\)
\(572\) −75.8910 61.9673i −3.17316 2.59098i
\(573\) 14.2984 22.9887i 0.597326 0.960365i
\(574\) −11.4993 + 1.26165i −0.479970 + 0.0526604i
\(575\) 12.1061 + 6.98948i 0.504861 + 0.291482i
\(576\) −39.4193 79.9744i −1.64247 3.33227i
\(577\) 31.6290 18.2610i 1.31673 0.760217i 0.333532 0.942739i \(-0.391759\pi\)
0.983202 + 0.182522i \(0.0584261\pi\)
\(578\) −11.2138 6.47427i −0.466431 0.269294i
\(579\) −3.81065 2.37014i −0.158365 0.0984995i
\(580\) 1.28652i 0.0534200i
\(581\) −3.30229 30.0985i −0.137002 1.24870i
\(582\) 21.3930 11.4321i 0.886768 0.473875i
\(583\) 11.1044 + 19.2334i 0.459897 + 0.796565i
\(584\) 15.2764 + 26.4595i 0.632142 + 1.09490i
\(585\) 2.55526 + 0.589645i 0.105647 + 0.0243788i
\(586\) −53.1609 30.6924i −2.19606 1.26789i
\(587\) −7.85945 + 13.6130i −0.324394 + 0.561867i −0.981390 0.192027i \(-0.938494\pi\)
0.656995 + 0.753895i \(0.271827\pi\)
\(588\) −50.2394 + 43.1239i −2.07184 + 1.77840i
\(589\) 4.99473 + 8.65112i 0.205804 + 0.356463i
\(590\) −1.55696 0.898908i −0.0640988 0.0370075i
\(591\) −2.77184 5.18699i −0.114018 0.213364i
\(592\) 52.0714 90.1902i 2.14012 3.70680i
\(593\) 9.02479 15.6314i 0.370604 0.641904i −0.619055 0.785348i \(-0.712484\pi\)
0.989659 + 0.143443i \(0.0458175\pi\)
\(594\) −64.3395 + 29.1288i −2.63988 + 1.19517i
\(595\) −1.81094 + 1.32838i −0.0742413 + 0.0544583i
\(596\) 59.9462 + 34.6100i 2.45549 + 1.41768i
\(597\) −17.0513 31.9083i −0.697863 1.30592i
\(598\) −17.6217 + 21.5812i −0.720604 + 0.882520i
\(599\) 29.2871 16.9089i 1.19664 0.690880i 0.236836 0.971550i \(-0.423890\pi\)
0.959805 + 0.280669i \(0.0905564\pi\)
\(600\) −80.8608 2.65514i −3.30113 0.108395i
\(601\) −32.6930 18.8753i −1.33358 0.769941i −0.347731 0.937594i \(-0.613048\pi\)
−0.985846 + 0.167653i \(0.946381\pi\)
\(602\) 6.81603 15.4988i 0.277801 0.631685i
\(603\) 1.70585 + 3.46086i 0.0694677 + 0.140937i
\(604\) −43.4072 −1.76621
\(605\) −1.66820 + 2.88940i −0.0678219 + 0.117471i
\(606\) 73.8585 + 2.42521i 3.00030 + 0.0985174i
\(607\) 39.7628i 1.61392i −0.590603 0.806962i \(-0.701110\pi\)
0.590603 0.806962i \(-0.298890\pi\)
\(608\) 19.0390 32.9764i 0.772132 1.33737i
\(609\) 3.67515 2.51459i 0.148925 0.101897i
\(610\) 5.89687 0.238757
\(611\) 0.405012 0.496016i 0.0163850 0.0200667i
\(612\) 31.8776 47.6877i 1.28857 1.92766i
\(613\) −2.58043 −0.104223 −0.0521114 0.998641i \(-0.516595\pi\)
−0.0521114 + 0.998641i \(0.516595\pi\)
\(614\) −18.6964 32.3831i −0.754524 1.30687i
\(615\) −0.0220601 + 0.671829i −0.000889548 + 0.0270907i
\(616\) −13.5734 123.714i −0.546887 4.98457i
\(617\) 15.8291 9.13893i 0.637255 0.367919i −0.146301 0.989240i \(-0.546737\pi\)
0.783556 + 0.621321i \(0.213404\pi\)
\(618\) 15.9401 + 9.91441i 0.641207 + 0.398816i
\(619\) 11.0135 6.35866i 0.442671 0.255576i −0.262059 0.965052i \(-0.584402\pi\)
0.704730 + 0.709476i \(0.251068\pi\)
\(620\) 6.55432 + 3.78414i 0.263228 + 0.151975i
\(621\) 6.06288 + 13.3917i 0.243295 + 0.537389i
\(622\) 33.5026 + 19.3427i 1.34333 + 0.775573i
\(623\) 20.7920 15.2516i 0.833015 0.611043i
\(624\) 17.9345 91.3007i 0.717956 3.65495i
\(625\) −12.0609 + 20.8901i −0.482436 + 0.835603i
\(626\) 52.0905 2.08195
\(627\) −12.7893 7.95466i −0.510756 0.317679i
\(628\) 26.9660i 1.07606i
\(629\) 24.4738 0.975835
\(630\) 2.82414 + 4.43304i 0.112516 + 0.176616i
\(631\) −7.52279 13.0299i −0.299478 0.518710i 0.676539 0.736407i \(-0.263479\pi\)
−0.976017 + 0.217696i \(0.930146\pi\)
\(632\) 26.6788 + 15.4030i 1.06123 + 0.612699i
\(633\) 28.3712 15.1611i 1.12765 0.602599i
\(634\) −3.02868 −0.120284
\(635\) 2.26601 + 3.92485i 0.0899240 + 0.155753i
\(636\) −22.2954 + 35.8460i −0.884069 + 1.42138i
\(637\) −25.1973 + 1.44836i −0.998352 + 0.0573862i
\(638\) 13.2079i 0.522907i
\(639\) −9.99138 6.67889i −0.395253 0.264213i
\(640\) 9.11578i 0.360333i
\(641\) −27.4668 15.8579i −1.08487 0.626351i −0.152665 0.988278i \(-0.548786\pi\)
−0.932206 + 0.361927i \(0.882119\pi\)
\(642\) −53.4835 + 28.5807i −2.11083 + 1.12799i
\(643\) 1.53491 0.886181i 0.0605309 0.0349476i −0.469429 0.882970i \(-0.655540\pi\)
0.529960 + 0.848023i \(0.322207\pi\)
\(644\) −40.6305 + 4.45781i −1.60106 + 0.175662i
\(645\) −0.835413 0.519608i −0.0328944 0.0204596i
\(646\) 16.7125 0.657546
\(647\) −12.1507 −0.477694 −0.238847 0.971057i \(-0.576769\pi\)
−0.238847 + 0.971057i \(0.576769\pi\)
\(648\) −67.4768 51.8193i −2.65074 2.03565i
\(649\) 11.6994 + 6.75467i 0.459243 + 0.265144i
\(650\) −37.6937 30.7780i −1.47847 1.20721i
\(651\) 2.00088 + 26.1197i 0.0784206 + 1.02371i
\(652\) −6.61733 + 11.4616i −0.259155 + 0.448869i
\(653\) 33.2809 19.2147i 1.30238 0.751931i 0.321570 0.946886i \(-0.395789\pi\)
0.980812 + 0.194955i \(0.0624561\pi\)
\(654\) 24.3828 + 45.6279i 0.953443 + 1.78419i
\(655\) 0.645927 + 1.11878i 0.0252385 + 0.0437143i
\(656\) 23.8500 0.931185
\(657\) 8.06091 + 5.38844i 0.314486 + 0.210223i
\(658\) 1.27585 0.139981i 0.0497379 0.00545705i
\(659\) −39.1455 + 22.6007i −1.52489 + 0.880396i −0.525327 + 0.850901i \(0.676057\pi\)
−0.999565 + 0.0294958i \(0.990610\pi\)
\(660\) −11.4047 0.374483i −0.443927 0.0145767i
\(661\) 4.47815i 0.174180i −0.996200 0.0870898i \(-0.972243\pi\)
0.996200 0.0870898i \(-0.0277567\pi\)
\(662\) −35.8597 + 20.7036i −1.39373 + 0.804669i
\(663\) 20.6887 7.07795i 0.803482 0.274885i
\(664\) 108.186i 4.19843i
\(665\) −0.451239 + 1.02606i −0.0174983 + 0.0397891i
\(666\) 3.75744 57.1538i 0.145598 2.21466i
\(667\) 2.74911 0.106446
\(668\) 5.33336 + 9.23765i 0.206354 + 0.357415i
\(669\) 2.23325 + 4.17912i 0.0863425 + 0.161574i
\(670\) 0.851707i 0.0329043i
\(671\) −44.3108 −1.71060
\(672\) 82.4110 56.3869i 3.17907 2.17517i
\(673\) −10.5889 + 18.3406i −0.408174 + 0.706977i −0.994685 0.102963i \(-0.967168\pi\)
0.586512 + 0.809941i \(0.300501\pi\)
\(674\) 13.9210 8.03730i 0.536217 0.309585i
\(675\) −23.3899 + 10.5894i −0.900277 + 0.407588i
\(676\) 53.1407 47.0723i 2.04387 1.81047i
\(677\) 12.6028 21.8286i 0.484363 0.838941i −0.515476 0.856904i \(-0.672385\pi\)
0.999839 + 0.0179629i \(0.00571806\pi\)
\(678\) −39.4374 + 21.0747i −1.51458 + 0.809369i
\(679\) 8.02313 + 10.9377i 0.307900 + 0.419750i
\(680\) 6.94945 4.01227i 0.266499 0.153863i
\(681\) −33.7985 + 18.0614i −1.29516 + 0.692113i
\(682\) −67.2890 38.8493i −2.57663 1.48762i
\(683\) −31.0254 17.9125i −1.18715 0.685404i −0.229496 0.973310i \(-0.573708\pi\)
−0.957659 + 0.287906i \(0.907041\pi\)
\(684\) 1.87804 28.5665i 0.0718086 1.09227i
\(685\) −1.04389 + 0.602688i −0.0398849 + 0.0230275i
\(686\) −38.0531 33.3322i −1.45287 1.27263i
\(687\) 15.3480 + 28.7210i 0.585563 + 1.09577i
\(688\) −17.4535 + 30.2303i −0.665408 + 1.15252i
\(689\) −15.0463 + 5.70576i −0.573220 + 0.217372i
\(690\) −0.106492 + 3.24316i −0.00405408 + 0.123465i
\(691\) 36.5012 21.0740i 1.38857 0.801691i 0.395416 0.918502i \(-0.370601\pi\)
0.993154 + 0.116811i \(0.0372673\pi\)
\(692\) −59.2826 + 102.681i −2.25359 + 3.90333i
\(693\) −21.2214 33.3112i −0.806136 1.26539i
\(694\) −54.4942 −2.06857
\(695\) 1.97200i 0.0748022i
\(696\) −14.0327 + 7.49885i −0.531908 + 0.284243i
\(697\) 2.80241 + 4.85391i 0.106149 + 0.183855i
\(698\) 34.3920 1.30176
\(699\) 18.4628 + 34.5498i 0.698328 + 1.30679i
\(700\) −7.78602 70.9652i −0.294284 2.68223i
\(701\) 15.2806i 0.577141i 0.957459 + 0.288571i \(0.0931800\pi\)
−0.957459 + 0.288571i \(0.906820\pi\)
\(702\) −13.3528 49.4010i −0.503970 1.86452i
\(703\) 10.5781 6.10729i 0.398962 0.230341i
\(704\) 147.893i 5.57391i
\(705\) 0.00244758 0.0745400i 9.21814e−5 0.00280734i
\(706\) 51.2341 29.5800i 1.92822 1.11326i
\(707\) 4.50713 + 41.0800i 0.169508 + 1.54497i
\(708\) −0.842713 + 25.6644i −0.0316711 + 0.964528i
\(709\) 27.6439 1.03819 0.519095 0.854717i \(-0.326269\pi\)
0.519095 + 0.854717i \(0.326269\pi\)
\(710\) −1.32644 2.29746i −0.0497803 0.0862220i
\(711\) 9.75536 + 0.641343i 0.365854 + 0.0240522i
\(712\) −79.7891 + 46.0663i −2.99022 + 1.72641i
\(713\) −8.08612 + 14.0056i −0.302828 + 0.524513i
\(714\) 39.5180 + 18.9504i 1.47892 + 0.709199i
\(715\) −3.36928 2.75112i −0.126004 0.102886i
\(716\) 0.247047 + 0.142633i 0.00923257 + 0.00533043i
\(717\) −25.4766 + 40.9607i −0.951442 + 1.52970i
\(718\) 87.5510 3.26737
\(719\) 39.0985 1.45813 0.729064 0.684445i \(-0.239956\pi\)
0.729064 + 0.684445i \(0.239956\pi\)
\(720\) −4.79096 9.71996i −0.178548 0.362241i
\(721\) −4.22611 + 9.60967i −0.157389 + 0.357883i
\(722\) −37.7212 + 21.7783i −1.40384 + 0.810505i
\(723\) 14.0044 + 26.2067i 0.520830 + 0.974637i
\(724\) 126.362 + 72.9551i 4.69621 + 2.71136i
\(725\) 4.80159i 0.178327i
\(726\) 65.0716 + 2.13668i 2.41503 + 0.0792997i
\(727\) 33.5977i 1.24607i 0.782194 + 0.623035i \(0.214100\pi\)
−0.782194 + 0.623035i \(0.785900\pi\)
\(728\) 90.0562 + 4.67461i 3.33770 + 0.173253i
\(729\) −26.4781 5.28319i −0.980669 0.195674i
\(730\) 1.07015 + 1.85356i 0.0396081 + 0.0686032i
\(731\) −8.20324 −0.303408
\(732\) −39.6960 74.2838i −1.46721 2.74561i
\(733\) 28.1963 + 16.2791i 1.04145 + 0.601284i 0.920245 0.391343i \(-0.127989\pi\)
0.121209 + 0.992627i \(0.461323\pi\)
\(734\) −26.1889 45.3605i −0.966650 1.67429i
\(735\) −2.23044 + 1.91454i −0.0822711 + 0.0706189i
\(736\) 61.6455 2.27228
\(737\) 6.39999i 0.235747i
\(738\) 11.7656 5.79925i 0.433097 0.213473i
\(739\) 37.5255 1.38040 0.690199 0.723619i \(-0.257523\pi\)
0.690199 + 0.723619i \(0.257523\pi\)
\(740\) 4.62704 8.01427i 0.170093 0.294610i
\(741\) 7.17586 8.22198i 0.263612 0.302042i
\(742\) −29.5246 12.9842i −1.08388 0.476667i
\(743\) 14.1385 + 8.16284i 0.518690 + 0.299466i 0.736398 0.676548i \(-0.236525\pi\)
−0.217709 + 0.976014i \(0.569858\pi\)
\(744\) 3.07172 93.5477i 0.112615 3.42963i
\(745\) 2.66139 + 1.53655i 0.0975057 + 0.0562950i
\(746\) 67.9897 39.2539i 2.48928 1.43719i
\(747\) 15.1791 + 30.7956i 0.555375 + 1.12675i
\(748\) −82.3980 + 47.5725i −3.01277 + 1.73942i
\(749\) −20.0582 27.3447i −0.732911 0.999154i
\(750\) −11.3964 0.374210i −0.416138 0.0136642i
\(751\) −3.78639 6.55821i −0.138167 0.239313i 0.788636 0.614861i \(-0.210788\pi\)
−0.926803 + 0.375548i \(0.877454\pi\)
\(752\) −2.64618 −0.0964961
\(753\) 0.166779 5.07918i 0.00607777 0.185096i
\(754\) −9.44612 1.53546i −0.344007 0.0559182i
\(755\) −1.92712 −0.0701350
\(756\) 36.8324 65.4181i 1.33958 2.37923i
\(757\) −0.418890 + 0.725538i −0.0152248 + 0.0263701i −0.873537 0.486757i \(-0.838180\pi\)
0.858313 + 0.513127i \(0.171513\pi\)
\(758\) 69.0429i 2.50775i
\(759\) 0.800213 24.3701i 0.0290459 0.884578i
\(760\) 2.00247 3.46838i 0.0726373 0.125812i
\(761\) 15.1563 0.549414 0.274707 0.961528i \(-0.411419\pi\)
0.274707 + 0.961528i \(0.411419\pi\)
\(762\) 46.7089 75.0974i 1.69208 2.72049i
\(763\) −23.3284 + 17.1121i −0.844543 + 0.619499i
\(764\) −73.9196 42.6775i −2.67432 1.54402i
\(765\) 1.41525 2.11716i 0.0511683 0.0765459i
\(766\) 26.2596 15.1610i 0.948797 0.547788i
\(767\) −6.19094 + 7.58202i −0.223542 + 0.273771i
\(768\) −66.0869 + 35.3157i −2.38470 + 1.27435i
\(769\) −31.6516 18.2740i −1.14139 0.658979i −0.194612 0.980880i \(-0.562345\pi\)
−0.946773 + 0.321901i \(0.895678\pi\)
\(770\) −0.950849 8.66646i