Properties

Label 273.2.bf.b.152.15
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 152.15
Character \(\chi\) \(=\) 273.152
Dual form 273.2.bf.b.185.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.473030 + 0.273104i) q^{2} +(0.966120 + 1.43757i) q^{3} +(-0.850828 + 1.47368i) q^{4} +(-1.25657 + 2.17644i) q^{5} +(-0.849611 - 0.416164i) q^{6} +(2.53535 + 0.756296i) q^{7} -2.02188i q^{8} +(-1.13323 + 2.77773i) q^{9} +O(q^{10})\) \(q+(-0.473030 + 0.273104i) q^{2} +(0.966120 + 1.43757i) q^{3} +(-0.850828 + 1.47368i) q^{4} +(-1.25657 + 2.17644i) q^{5} +(-0.849611 - 0.416164i) q^{6} +(2.53535 + 0.756296i) q^{7} -2.02188i q^{8} +(-1.13323 + 2.77773i) q^{9} -1.37270i q^{10} -6.02763i q^{11} +(-2.94052 + 0.200622i) q^{12} +(-1.89716 + 3.06607i) q^{13} +(-1.40585 + 0.334664i) q^{14} +(-4.34279 + 0.296295i) q^{15} +(-1.14947 - 1.99095i) q^{16} +(-0.323651 + 0.560581i) q^{17} +(-0.222560 - 1.62344i) q^{18} +2.29555i q^{19} +(-2.13825 - 3.70356i) q^{20} +(1.36222 + 4.37543i) q^{21} +(1.64617 + 2.85125i) q^{22} +(-0.894874 + 0.516656i) q^{23} +(2.90659 - 1.95337i) q^{24} +(-0.657937 - 1.13958i) q^{25} +(0.0600548 - 1.96847i) q^{26} +(-5.08802 + 1.05453i) q^{27} +(-3.27169 + 3.09282i) q^{28} +(4.46255 + 2.57646i) q^{29} +(1.97335 - 1.32619i) q^{30} +(9.25745 - 5.34479i) q^{31} +(4.58946 + 2.64973i) q^{32} +(8.66515 - 5.82341i) q^{33} -0.353562i q^{34} +(-4.83188 + 4.56771i) q^{35} +(-3.12930 - 4.03338i) q^{36} +(1.97766 + 3.42541i) q^{37} +(-0.626924 - 1.08587i) q^{38} +(-6.24058 + 0.234896i) q^{39} +(4.40050 + 2.54063i) q^{40} +(-4.48689 + 7.77153i) q^{41} +(-1.83932 - 1.69768i) q^{42} +(-4.09951 - 7.10056i) q^{43} +(8.88279 + 5.12848i) q^{44} +(-4.62160 - 5.95682i) q^{45} +(0.282202 - 0.488787i) q^{46} +(-2.09646 + 3.63118i) q^{47} +(1.75160 - 3.57594i) q^{48} +(5.85603 + 3.83496i) q^{49} +(0.622448 + 0.359370i) q^{50} +(-1.11856 + 0.0763159i) q^{51} +(-2.90425 - 5.40450i) q^{52} +(-0.0406517 + 0.0234703i) q^{53} +(2.11879 - 1.88838i) q^{54} +(13.1188 + 7.57414i) q^{55} +(1.52914 - 5.12617i) q^{56} +(-3.30002 + 2.21778i) q^{57} -2.81456 q^{58} +(-0.831148 + 1.43959i) q^{59} +(3.25833 - 6.65197i) q^{60} -3.59276i q^{61} +(-2.91937 + 5.05650i) q^{62} +(-4.97392 + 6.18548i) q^{63} +1.70329 q^{64} +(-4.28922 - 7.98179i) q^{65} +(-2.50848 + 5.12114i) q^{66} +1.52251 q^{67} +(-0.550743 - 0.953916i) q^{68} +(-1.60728 - 0.787294i) q^{69} +(1.03817 - 3.48027i) q^{70} +(11.4729 - 6.62389i) q^{71} +(5.61623 + 2.29124i) q^{72} +(4.76835 - 2.75301i) q^{73} +(-1.87099 - 1.08022i) q^{74} +(1.00258 - 2.04680i) q^{75} +(-3.38290 - 1.95312i) q^{76} +(4.55868 - 15.2822i) q^{77} +(2.88783 - 1.81544i) q^{78} +(-2.14796 + 3.72038i) q^{79} +5.77758 q^{80} +(-6.43160 - 6.29559i) q^{81} -4.90156i q^{82} +11.8816 q^{83} +(-7.60699 - 1.71526i) q^{84} +(-0.813381 - 1.40882i) q^{85} +(3.87838 + 2.23919i) q^{86} +(0.607520 + 8.90441i) q^{87} -12.1871 q^{88} +(0.507769 + 0.879481i) q^{89} +(3.81299 + 1.55558i) q^{90} +(-7.12882 + 6.33877i) q^{91} -1.75834i q^{92} +(16.6273 + 8.14455i) q^{93} -2.29021i q^{94} +(-4.99614 - 2.88452i) q^{95} +(0.624797 + 9.15764i) q^{96} +(8.58147 - 4.95452i) q^{97} +(-3.81742 - 0.214744i) q^{98} +(16.7432 + 6.83067i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.473030 + 0.273104i −0.334483 + 0.193114i −0.657830 0.753167i \(-0.728525\pi\)
0.323347 + 0.946281i \(0.395192\pi\)
\(3\) 0.966120 + 1.43757i 0.557789 + 0.829982i
\(4\) −0.850828 + 1.47368i −0.425414 + 0.736839i
\(5\) −1.25657 + 2.17644i −0.561955 + 0.973335i 0.435371 + 0.900251i \(0.356617\pi\)
−0.997326 + 0.0730836i \(0.976716\pi\)
\(6\) −0.849611 0.416164i −0.346852 0.169898i
\(7\) 2.53535 + 0.756296i 0.958273 + 0.285853i
\(8\) 2.02188i 0.714841i
\(9\) −1.13323 + 2.77773i −0.377742 + 0.925911i
\(10\) 1.37270i 0.434085i
\(11\) 6.02763i 1.81740i −0.417450 0.908700i \(-0.637076\pi\)
0.417450 0.908700i \(-0.362924\pi\)
\(12\) −2.94052 + 0.200622i −0.848855 + 0.0579147i
\(13\) −1.89716 + 3.06607i −0.526176 + 0.850376i
\(14\) −1.40585 + 0.334664i −0.375728 + 0.0894428i
\(15\) −4.34279 + 0.296295i −1.12130 + 0.0765030i
\(16\) −1.14947 1.99095i −0.287369 0.497737i
\(17\) −0.323651 + 0.560581i −0.0784970 + 0.135961i −0.902602 0.430477i \(-0.858345\pi\)
0.824105 + 0.566438i \(0.191679\pi\)
\(18\) −0.222560 1.62344i −0.0524580 0.382649i
\(19\) 2.29555i 0.526636i 0.964709 + 0.263318i \(0.0848168\pi\)
−0.964709 + 0.263318i \(0.915183\pi\)
\(20\) −2.13825 3.70356i −0.478127 0.828141i
\(21\) 1.36222 + 4.37543i 0.297262 + 0.954796i
\(22\) 1.64617 + 2.85125i 0.350965 + 0.607889i
\(23\) −0.894874 + 0.516656i −0.186594 + 0.107730i −0.590387 0.807120i \(-0.701025\pi\)
0.403793 + 0.914850i \(0.367692\pi\)
\(24\) 2.90659 1.95337i 0.593305 0.398731i
\(25\) −0.657937 1.13958i −0.131587 0.227916i
\(26\) 0.0600548 1.96847i 0.0117777 0.386048i
\(27\) −5.08802 + 1.05453i −0.979190 + 0.202944i
\(28\) −3.27169 + 3.09282i −0.618291 + 0.584487i
\(29\) 4.46255 + 2.57646i 0.828676 + 0.478436i 0.853399 0.521258i \(-0.174537\pi\)
−0.0247234 + 0.999694i \(0.507871\pi\)
\(30\) 1.97335 1.32619i 0.360283 0.242128i
\(31\) 9.25745 5.34479i 1.66269 0.959953i 0.691264 0.722602i \(-0.257054\pi\)
0.971424 0.237351i \(-0.0762792\pi\)
\(32\) 4.58946 + 2.64973i 0.811310 + 0.468410i
\(33\) 8.66515 5.82341i 1.50841 1.01373i
\(34\) 0.353562i 0.0606354i
\(35\) −4.83188 + 4.56771i −0.816738 + 0.772084i
\(36\) −3.12930 4.03338i −0.521551 0.672230i
\(37\) 1.97766 + 3.42541i 0.325126 + 0.563134i 0.981538 0.191268i \(-0.0612601\pi\)
−0.656412 + 0.754402i \(0.727927\pi\)
\(38\) −0.626924 1.08587i −0.101701 0.176151i
\(39\) −6.24058 + 0.234896i −0.999292 + 0.0376135i
\(40\) 4.40050 + 2.54063i 0.695780 + 0.401709i
\(41\) −4.48689 + 7.77153i −0.700735 + 1.21371i 0.267474 + 0.963565i \(0.413811\pi\)
−0.968209 + 0.250143i \(0.919522\pi\)
\(42\) −1.83932 1.69768i −0.283813 0.261958i
\(43\) −4.09951 7.10056i −0.625169 1.08282i −0.988508 0.151168i \(-0.951697\pi\)
0.363339 0.931657i \(-0.381637\pi\)
\(44\) 8.88279 + 5.12848i 1.33913 + 0.773147i
\(45\) −4.62160 5.95682i −0.688948 0.887990i
\(46\) 0.282202 0.488787i 0.0416084 0.0720678i
\(47\) −2.09646 + 3.63118i −0.305800 + 0.529662i −0.977439 0.211217i \(-0.932257\pi\)
0.671639 + 0.740879i \(0.265591\pi\)
\(48\) 1.75160 3.57594i 0.252822 0.516143i
\(49\) 5.85603 + 3.83496i 0.836576 + 0.547851i
\(50\) 0.622448 + 0.359370i 0.0880274 + 0.0508226i
\(51\) −1.11856 + 0.0763159i −0.156630 + 0.0106864i
\(52\) −2.90425 5.40450i −0.402747 0.749469i
\(53\) −0.0406517 + 0.0234703i −0.00558394 + 0.00322389i −0.502789 0.864409i \(-0.667693\pi\)
0.497205 + 0.867633i \(0.334360\pi\)
\(54\) 2.11879 1.88838i 0.288331 0.256977i
\(55\) 13.1188 + 7.57414i 1.76894 + 1.02130i
\(56\) 1.52914 5.12617i 0.204339 0.685013i
\(57\) −3.30002 + 2.21778i −0.437098 + 0.293752i
\(58\) −2.81456 −0.369570
\(59\) −0.831148 + 1.43959i −0.108206 + 0.187419i −0.915044 0.403355i \(-0.867844\pi\)
0.806837 + 0.590774i \(0.201177\pi\)
\(60\) 3.25833 6.65197i 0.420648 0.858766i
\(61\) 3.59276i 0.460006i −0.973190 0.230003i \(-0.926126\pi\)
0.973190 0.230003i \(-0.0738736\pi\)
\(62\) −2.91937 + 5.05650i −0.370760 + 0.642176i
\(63\) −4.97392 + 6.18548i −0.626654 + 0.779297i
\(64\) 1.70329 0.212911
\(65\) −4.28922 7.98179i −0.532013 0.990019i
\(66\) −2.50848 + 5.12114i −0.308773 + 0.630369i
\(67\) 1.52251 0.186004 0.0930020 0.995666i \(-0.470354\pi\)
0.0930020 + 0.995666i \(0.470354\pi\)
\(68\) −0.550743 0.953916i −0.0667875 0.115679i
\(69\) −1.60728 0.787294i −0.193494 0.0947791i
\(70\) 1.03817 3.48027i 0.124085 0.415972i
\(71\) 11.4729 6.62389i 1.36158 0.786111i 0.371749 0.928333i \(-0.378758\pi\)
0.989835 + 0.142222i \(0.0454248\pi\)
\(72\) 5.61623 + 2.29124i 0.661879 + 0.270025i
\(73\) 4.76835 2.75301i 0.558093 0.322215i −0.194287 0.980945i \(-0.562239\pi\)
0.752380 + 0.658730i \(0.228906\pi\)
\(74\) −1.87099 1.08022i −0.217498 0.125572i
\(75\) 1.00258 2.04680i 0.115768 0.236344i
\(76\) −3.38290 1.95312i −0.388046 0.224038i
\(77\) 4.55868 15.2822i 0.519509 1.74157i
\(78\) 2.88783 1.81544i 0.326983 0.205558i
\(79\) −2.14796 + 3.72038i −0.241665 + 0.418575i −0.961189 0.275892i \(-0.911027\pi\)
0.719524 + 0.694468i \(0.244360\pi\)
\(80\) 5.77758 0.645953
\(81\) −6.43160 6.29559i −0.714622 0.699511i
\(82\) 4.90156i 0.541286i
\(83\) 11.8816 1.30417 0.652085 0.758146i \(-0.273894\pi\)
0.652085 + 0.758146i \(0.273894\pi\)
\(84\) −7.60699 1.71526i −0.829990 0.187150i
\(85\) −0.813381 1.40882i −0.0882236 0.152808i
\(86\) 3.87838 + 2.23919i 0.418217 + 0.241458i
\(87\) 0.607520 + 8.90441i 0.0651330 + 0.954653i
\(88\) −12.1871 −1.29915
\(89\) 0.507769 + 0.879481i 0.0538234 + 0.0932248i 0.891682 0.452663i \(-0.149526\pi\)
−0.837858 + 0.545888i \(0.816193\pi\)
\(90\) 3.81299 + 1.55558i 0.401924 + 0.163972i
\(91\) −7.12882 + 6.33877i −0.747303 + 0.664483i
\(92\) 1.75834i 0.183320i
\(93\) 16.6273 + 8.14455i 1.72417 + 0.844550i
\(94\) 2.29021i 0.236217i
\(95\) −4.99614 2.88452i −0.512593 0.295946i
\(96\) 0.624797 + 9.15764i 0.0637681 + 0.934647i
\(97\) 8.58147 4.95452i 0.871317 0.503055i 0.00353111 0.999994i \(-0.498876\pi\)
0.867786 + 0.496939i \(0.165543\pi\)
\(98\) −3.81742 0.214744i −0.385618 0.0216924i
\(99\) 16.7432 + 6.83067i 1.68275 + 0.686508i
\(100\) 2.23916 0.223916
\(101\) 5.31728 0.529089 0.264545 0.964373i \(-0.414778\pi\)
0.264545 + 0.964373i \(0.414778\pi\)
\(102\) 0.508271 0.341583i 0.0503263 0.0338218i
\(103\) 2.41439 + 1.39395i 0.237897 + 0.137350i 0.614210 0.789143i \(-0.289475\pi\)
−0.376313 + 0.926493i \(0.622808\pi\)
\(104\) 6.19922 + 3.83581i 0.607883 + 0.376132i
\(105\) −11.2346 2.53322i −1.09638 0.247217i
\(106\) 0.0128197 0.0222043i 0.00124515 0.00215667i
\(107\) −16.6485 + 9.61203i −1.60947 + 0.929230i −0.619986 + 0.784613i \(0.712862\pi\)
−0.989488 + 0.144617i \(0.953805\pi\)
\(108\) 2.77500 8.39533i 0.267024 0.807841i
\(109\) −3.02537 5.24009i −0.289778 0.501910i 0.683979 0.729502i \(-0.260248\pi\)
−0.973757 + 0.227592i \(0.926915\pi\)
\(110\) −8.27412 −0.788906
\(111\) −3.01362 + 6.15239i −0.286040 + 0.583959i
\(112\) −1.40858 5.91710i −0.133098 0.559113i
\(113\) −7.42599 + 4.28740i −0.698578 + 0.403324i −0.806818 0.590800i \(-0.798812\pi\)
0.108239 + 0.994125i \(0.465479\pi\)
\(114\) 0.955325 1.95032i 0.0894744 0.182665i
\(115\) 2.59686i 0.242158i
\(116\) −7.59374 + 4.38425i −0.705061 + 0.407067i
\(117\) −6.36683 8.74434i −0.588613 0.808415i
\(118\) 0.907960i 0.0835845i
\(119\) −1.24454 + 1.17649i −0.114086 + 0.107849i
\(120\) 0.599072 + 8.78058i 0.0546875 + 0.801554i
\(121\) −25.3324 −2.30294
\(122\) 0.981198 + 1.69949i 0.0888335 + 0.153864i
\(123\) −15.5070 + 1.05799i −1.39822 + 0.0953961i
\(124\) 18.1900i 1.63351i
\(125\) −9.25873 −0.828126
\(126\) 0.663532 4.28432i 0.0591122 0.381677i
\(127\) 1.59609 2.76452i 0.141630 0.245311i −0.786480 0.617615i \(-0.788099\pi\)
0.928111 + 0.372304i \(0.121432\pi\)
\(128\) −9.98463 + 5.76463i −0.882525 + 0.509526i
\(129\) 6.24695 12.7533i 0.550013 1.12287i
\(130\) 4.20879 + 2.60422i 0.369135 + 0.228405i
\(131\) 1.65182 2.86103i 0.144320 0.249969i −0.784799 0.619750i \(-0.787234\pi\)
0.929119 + 0.369781i \(0.120567\pi\)
\(132\) 1.20928 + 17.7244i 0.105254 + 1.54271i
\(133\) −1.73612 + 5.82003i −0.150540 + 0.504661i
\(134\) −0.720192 + 0.415803i −0.0622151 + 0.0359199i
\(135\) 4.09833 12.3989i 0.352728 1.06713i
\(136\) 1.13342 + 0.654383i 0.0971903 + 0.0561129i
\(137\) 7.14564 + 4.12554i 0.610493 + 0.352468i 0.773158 0.634213i \(-0.218676\pi\)
−0.162665 + 0.986681i \(0.552009\pi\)
\(138\) 0.975308 0.0665422i 0.0830237 0.00566445i
\(139\) 7.50372 4.33228i 0.636457 0.367459i −0.146791 0.989168i \(-0.546895\pi\)
0.783249 + 0.621709i \(0.213561\pi\)
\(140\) −2.62023 11.0070i −0.221450 0.930260i
\(141\) −7.24551 + 0.494339i −0.610182 + 0.0416308i
\(142\) −3.61802 + 6.26660i −0.303618 + 0.525881i
\(143\) 18.4812 + 11.4354i 1.54547 + 0.956273i
\(144\) 6.83293 0.936740i 0.569411 0.0780616i
\(145\) −11.2150 + 6.47500i −0.931357 + 0.537719i
\(146\) −1.50371 + 2.60451i −0.124448 + 0.215551i
\(147\) 0.144603 + 12.1235i 0.0119267 + 0.999929i
\(148\) −6.73060 −0.553252
\(149\) 13.8118i 1.13151i −0.824574 0.565753i \(-0.808585\pi\)
0.824574 0.565753i \(-0.191415\pi\)
\(150\) 0.0847383 + 1.24201i 0.00691885 + 0.101410i
\(151\) −3.90858 6.76986i −0.318076 0.550924i 0.662011 0.749494i \(-0.269703\pi\)
−0.980087 + 0.198571i \(0.936370\pi\)
\(152\) 4.64132 0.376461
\(153\) −1.19037 1.53428i −0.0962360 0.124039i
\(154\) 2.01723 + 8.47393i 0.162553 + 0.682848i
\(155\) 26.8644i 2.15780i
\(156\) 4.96350 9.39646i 0.397398 0.752319i
\(157\) −7.63926 + 4.41053i −0.609679 + 0.351999i −0.772840 0.634601i \(-0.781164\pi\)
0.163161 + 0.986600i \(0.447831\pi\)
\(158\) 2.34647i 0.186675i
\(159\) −0.0730146 0.0357646i −0.00579043 0.00283632i
\(160\) −11.5340 + 6.65914i −0.911840 + 0.526451i
\(161\) −2.65957 + 0.633115i −0.209603 + 0.0498964i
\(162\) 4.76169 + 1.22151i 0.374114 + 0.0959709i
\(163\) 12.5765 0.985066 0.492533 0.870294i \(-0.336071\pi\)
0.492533 + 0.870294i \(0.336071\pi\)
\(164\) −7.63515 13.2245i −0.596205 1.03266i
\(165\) 1.78596 + 26.1767i 0.139037 + 2.03786i
\(166\) −5.62034 + 3.24490i −0.436223 + 0.251853i
\(167\) 6.71323 11.6277i 0.519486 0.899775i −0.480258 0.877127i \(-0.659457\pi\)
0.999743 0.0226481i \(-0.00720973\pi\)
\(168\) 8.84656 2.75425i 0.682527 0.212495i
\(169\) −5.80160 11.6336i −0.446277 0.894895i
\(170\) 0.769508 + 0.444276i 0.0590186 + 0.0340744i
\(171\) −6.37643 2.60138i −0.487618 0.198932i
\(172\) 13.9519 1.06382
\(173\) 8.44726 0.642233 0.321116 0.947040i \(-0.395942\pi\)
0.321116 + 0.947040i \(0.395942\pi\)
\(174\) −2.71921 4.04614i −0.206142 0.306737i
\(175\) −0.806242 3.38683i −0.0609462 0.256020i
\(176\) −12.0007 + 6.92861i −0.904587 + 0.522263i
\(177\) −2.87250 + 0.195982i −0.215911 + 0.0147309i
\(178\) −0.480380 0.277347i −0.0360060 0.0207881i
\(179\) 12.9185i 0.965577i −0.875737 0.482788i \(-0.839624\pi\)
0.875737 0.482788i \(-0.160376\pi\)
\(180\) 12.7106 1.74252i 0.947393 0.129880i
\(181\) 1.36110i 0.101170i −0.998720 0.0505848i \(-0.983891\pi\)
0.998720 0.0505848i \(-0.0161085\pi\)
\(182\) 1.64100 4.94534i 0.121639 0.366573i
\(183\) 5.16485 3.47104i 0.381797 0.256587i
\(184\) 1.04461 + 1.80932i 0.0770099 + 0.133385i
\(185\) −9.94028 −0.730824
\(186\) −10.0895 + 0.688378i −0.739801 + 0.0504743i
\(187\) 3.37897 + 1.95085i 0.247095 + 0.142660i
\(188\) −3.56746 6.17902i −0.260184 0.450651i
\(189\) −13.6975 1.17445i −0.996344 0.0854284i
\(190\) 3.15110 0.228605
\(191\) 10.3102i 0.746020i −0.927827 0.373010i \(-0.878326\pi\)
0.927827 0.373010i \(-0.121674\pi\)
\(192\) 1.64558 + 2.44860i 0.118760 + 0.176713i
\(193\) 3.23962 0.233193 0.116597 0.993179i \(-0.462802\pi\)
0.116597 + 0.993179i \(0.462802\pi\)
\(194\) −2.70620 + 4.68727i −0.194294 + 0.336527i
\(195\) 7.33049 13.8774i 0.524947 0.993783i
\(196\) −10.6340 + 5.36702i −0.759569 + 0.383358i
\(197\) −11.8813 6.85965i −0.846505 0.488730i 0.0129653 0.999916i \(-0.495873\pi\)
−0.859470 + 0.511186i \(0.829206\pi\)
\(198\) −9.78550 + 1.34151i −0.695425 + 0.0953372i
\(199\) 2.88404 + 1.66510i 0.204444 + 0.118036i 0.598727 0.800953i \(-0.295674\pi\)
−0.394283 + 0.918989i \(0.629007\pi\)
\(200\) −2.30409 + 1.33027i −0.162924 + 0.0940640i
\(201\) 1.47092 + 2.18871i 0.103751 + 0.154380i
\(202\) −2.51524 + 1.45217i −0.176971 + 0.102174i
\(203\) 9.36559 + 9.90724i 0.657335 + 0.695352i
\(204\) 0.839238 1.71333i 0.0587584 0.119957i
\(205\) −11.2762 19.5309i −0.787563 1.36410i
\(206\) −1.52277 −0.106096
\(207\) −0.421038 3.07121i −0.0292641 0.213464i
\(208\) 8.28512 + 0.252766i 0.574470 + 0.0175262i
\(209\) 13.8367 0.957107
\(210\) 6.00614 1.86992i 0.414463 0.129037i
\(211\) −4.67281 + 8.09355i −0.321690 + 0.557183i −0.980837 0.194831i \(-0.937584\pi\)
0.659147 + 0.752014i \(0.270917\pi\)
\(212\) 0.0798766i 0.00548595i
\(213\) 20.6065 + 10.0937i 1.41194 + 0.691607i
\(214\) 5.25017 9.09356i 0.358894 0.621623i
\(215\) 20.6053 1.40527
\(216\) 2.13213 + 10.2873i 0.145073 + 0.699965i
\(217\) 27.5132 6.54956i 1.86772 0.444613i
\(218\) 2.86218 + 1.65248i 0.193851 + 0.111920i
\(219\) 8.56444 + 4.19511i 0.578731 + 0.283479i
\(220\) −22.3237 + 12.8886i −1.50506 + 0.868949i
\(221\) −1.10476 2.05585i −0.0743145 0.138291i
\(222\) −0.254711 3.73330i −0.0170951 0.250562i
\(223\) 4.72711 + 2.72920i 0.316550 + 0.182760i 0.649854 0.760059i \(-0.274830\pi\)
−0.333304 + 0.942820i \(0.608163\pi\)
\(224\) 9.63193 + 10.1890i 0.643560 + 0.680780i
\(225\) 3.91104 0.536172i 0.260736 0.0357448i
\(226\) 2.34181 4.05614i 0.155775 0.269810i
\(227\) −11.3923 + 19.7320i −0.756132 + 1.30966i 0.188677 + 0.982039i \(0.439580\pi\)
−0.944809 + 0.327620i \(0.893753\pi\)
\(228\) −0.460539 6.75011i −0.0304999 0.447037i
\(229\) −15.1066 8.72181i −0.998273 0.576353i −0.0905364 0.995893i \(-0.528858\pi\)
−0.907737 + 0.419540i \(0.862191\pi\)
\(230\) 0.709212 + 1.22839i 0.0467641 + 0.0809977i
\(231\) 26.3735 8.21099i 1.73525 0.540243i
\(232\) 5.20928 9.02273i 0.342006 0.592371i
\(233\) 1.62211 + 0.936526i 0.106268 + 0.0613538i 0.552192 0.833717i \(-0.313792\pi\)
−0.445924 + 0.895071i \(0.647125\pi\)
\(234\) 5.39982 + 2.39753i 0.352997 + 0.156732i
\(235\) −5.26870 9.12566i −0.343692 0.595292i
\(236\) −1.41433 2.44969i −0.0920650 0.159461i
\(237\) −7.42350 + 0.506482i −0.482208 + 0.0328995i
\(238\) 0.267398 0.896405i 0.0173328 0.0581053i
\(239\) 23.7791i 1.53814i −0.639164 0.769071i \(-0.720719\pi\)
0.639164 0.769071i \(-0.279281\pi\)
\(240\) 5.58183 + 8.30568i 0.360306 + 0.536130i
\(241\) −18.0905 10.4446i −1.16531 0.672795i −0.212743 0.977108i \(-0.568240\pi\)
−0.952572 + 0.304314i \(0.901573\pi\)
\(242\) 11.9830 6.91837i 0.770295 0.444730i
\(243\) 2.83667 15.3282i 0.181973 0.983304i
\(244\) 5.29457 + 3.05682i 0.338950 + 0.195693i
\(245\) −15.7051 + 7.92643i −1.00336 + 0.506401i
\(246\) 7.04634 4.73549i 0.449258 0.301924i
\(247\) −7.03833 4.35502i −0.447838 0.277103i
\(248\) −10.8065 18.7174i −0.686214 1.18856i
\(249\) 11.4790 + 17.0806i 0.727453 + 1.08244i
\(250\) 4.37966 2.52860i 0.276994 0.159922i
\(251\) −10.1622 17.6015i −0.641433 1.11100i −0.985113 0.171908i \(-0.945007\pi\)
0.343680 0.939087i \(-0.388327\pi\)
\(252\) −4.88346 12.5927i −0.307629 0.793267i
\(253\) 3.11421 + 5.39397i 0.195789 + 0.339116i
\(254\) 1.74360i 0.109403i
\(255\) 1.23945 2.53038i 0.0776175 0.158459i
\(256\) 1.44540 2.50350i 0.0903374 0.156469i
\(257\) 11.9462 + 20.6914i 0.745183 + 1.29069i 0.950109 + 0.311917i \(0.100971\pi\)
−0.204926 + 0.978777i \(0.565696\pi\)
\(258\) 0.527992 + 7.73878i 0.0328714 + 0.481795i
\(259\) 2.42345 + 10.1803i 0.150586 + 0.632575i
\(260\) 15.4120 + 0.470195i 0.955810 + 0.0291603i
\(261\) −12.2138 + 9.47608i −0.756015 + 0.586555i
\(262\) 1.80447i 0.111481i
\(263\) 1.61574i 0.0996308i 0.998758 + 0.0498154i \(0.0158633\pi\)
−0.998758 + 0.0498154i \(0.984137\pi\)
\(264\) −11.7742 17.5199i −0.724653 1.07827i
\(265\) 0.117968i 0.00724672i
\(266\) −0.768239 3.22719i −0.0471038 0.197872i
\(267\) −0.773752 + 1.57964i −0.0473528 + 0.0966723i
\(268\) −1.29539 + 2.24369i −0.0791287 + 0.137055i
\(269\) 8.22623 14.2482i 0.501562 0.868731i −0.498436 0.866926i \(-0.666092\pi\)
0.999998 0.00180469i \(-0.000574450\pi\)
\(270\) 1.44755 + 6.98432i 0.0880951 + 0.425052i
\(271\) −0.531956 + 0.307125i −0.0323140 + 0.0186565i −0.516070 0.856546i \(-0.672606\pi\)
0.483756 + 0.875203i \(0.339272\pi\)
\(272\) 1.48812 0.0902302
\(273\) −15.9997 4.12418i −0.968347 0.249607i
\(274\) −4.50681 −0.272266
\(275\) −6.86897 + 3.96580i −0.414214 + 0.239147i
\(276\) 2.52774 1.69877i 0.152152 0.102254i
\(277\) 4.83367 8.37217i 0.290427 0.503035i −0.683484 0.729966i \(-0.739536\pi\)
0.973911 + 0.226931i \(0.0728692\pi\)
\(278\) −2.36633 + 4.09860i −0.141923 + 0.245817i
\(279\) 4.35563 + 31.7716i 0.260765 + 1.90212i
\(280\) 9.23535 + 9.76947i 0.551918 + 0.583837i
\(281\) 4.25154i 0.253625i −0.991927 0.126813i \(-0.959525\pi\)
0.991927 0.126813i \(-0.0404747\pi\)
\(282\) 3.29234 2.21262i 0.196056 0.131759i
\(283\) 13.4666i 0.800506i −0.916405 0.400253i \(-0.868922\pi\)
0.916405 0.400253i \(-0.131078\pi\)
\(284\) 22.5432i 1.33769i
\(285\) −0.680160 9.96910i −0.0402892 0.590518i
\(286\) −11.8652 0.361988i −0.701603 0.0214048i
\(287\) −17.2534 + 16.3101i −1.01844 + 0.962757i
\(288\) −12.5611 + 9.74556i −0.740172 + 0.574263i
\(289\) 8.29050 + 14.3596i 0.487676 + 0.844680i
\(290\) 3.53670 6.12574i 0.207682 0.359716i
\(291\) 15.4132 + 7.54983i 0.903538 + 0.442579i
\(292\) 9.36934i 0.548299i
\(293\) −6.93842 12.0177i −0.405347 0.702081i 0.589015 0.808122i \(-0.299516\pi\)
−0.994362 + 0.106041i \(0.966183\pi\)
\(294\) −3.37938 5.69529i −0.197089 0.332156i
\(295\) −2.08879 3.61789i −0.121614 0.210642i
\(296\) 6.92575 3.99859i 0.402551 0.232413i
\(297\) 6.35632 + 30.6687i 0.368831 + 1.77958i
\(298\) 3.77206 + 6.53340i 0.218510 + 0.378470i
\(299\) 0.113611 3.72392i 0.00657030 0.215360i
\(300\) 2.16330 + 3.21896i 0.124898 + 0.185847i
\(301\) −5.02358 21.1029i −0.289554 1.21635i
\(302\) 3.69776 + 2.13490i 0.212782 + 0.122850i
\(303\) 5.13713 + 7.64397i 0.295120 + 0.439135i
\(304\) 4.57032 2.63868i 0.262126 0.151338i
\(305\) 7.81944 + 4.51456i 0.447740 + 0.258503i
\(306\) 0.982101 + 0.400666i 0.0561430 + 0.0229045i
\(307\) 19.0928i 1.08969i −0.838538 0.544843i \(-0.816589\pi\)
0.838538 0.544843i \(-0.183411\pi\)
\(308\) 18.6424 + 19.7205i 1.06225 + 1.12368i
\(309\) 0.328688 + 4.81758i 0.0186984 + 0.274062i
\(310\) −7.33679 12.7077i −0.416702 0.721748i
\(311\) 1.31104 + 2.27079i 0.0743423 + 0.128765i 0.900800 0.434234i \(-0.142981\pi\)
−0.826458 + 0.562999i \(0.809648\pi\)
\(312\) 0.474930 + 12.6177i 0.0268876 + 0.714335i
\(313\) 3.15245 + 1.82007i 0.178187 + 0.102876i 0.586441 0.809992i \(-0.300529\pi\)
−0.408253 + 0.912869i \(0.633862\pi\)
\(314\) 2.40907 4.17263i 0.135952 0.235475i
\(315\) −7.21227 18.5979i −0.406366 1.04787i
\(316\) −3.65509 6.33081i −0.205615 0.356136i
\(317\) 14.6674 + 8.46825i 0.823805 + 0.475624i 0.851727 0.523986i \(-0.175556\pi\)
−0.0279217 + 0.999610i \(0.508889\pi\)
\(318\) 0.0443056 0.00302283i 0.00248453 0.000169512i
\(319\) 15.5299 26.8986i 0.869510 1.50603i
\(320\) −2.14030 + 3.70711i −0.119647 + 0.207234i
\(321\) −29.9024 14.6471i −1.66899 0.817520i
\(322\) 1.08515 1.02582i 0.0604730 0.0571668i
\(323\) −1.28684 0.742958i −0.0716018 0.0413393i
\(324\) 14.7499 4.12164i 0.819437 0.228980i
\(325\) 4.74224 + 0.144678i 0.263052 + 0.00802531i
\(326\) −5.94905 + 3.43469i −0.329488 + 0.190230i
\(327\) 4.61014 9.41174i 0.254941 0.520471i
\(328\) 15.7131 + 9.07194i 0.867608 + 0.500914i
\(329\) −8.06152 + 7.62077i −0.444446 + 0.420147i
\(330\) −7.99379 11.8946i −0.440044 0.654778i
\(331\) −10.4278 −0.573166 −0.286583 0.958055i \(-0.592519\pi\)
−0.286583 + 0.958055i \(0.592519\pi\)
\(332\) −10.1092 + 17.5096i −0.554813 + 0.960964i
\(333\) −11.7560 + 1.61165i −0.644226 + 0.0883181i
\(334\) 7.33365i 0.401279i
\(335\) −1.91314 + 3.31365i −0.104526 + 0.181044i
\(336\) 7.14540 7.74155i 0.389813 0.422336i
\(337\) 18.5940 1.01288 0.506440 0.862275i \(-0.330961\pi\)
0.506440 + 0.862275i \(0.330961\pi\)
\(338\) 5.92153 + 3.91862i 0.322089 + 0.213145i
\(339\) −13.3378 6.53326i −0.724412 0.354838i
\(340\) 2.76819 0.150126
\(341\) −32.2165 55.8005i −1.74462 3.02177i
\(342\) 3.72669 0.510899i 0.201516 0.0276263i
\(343\) 11.9467 + 14.1519i 0.645064 + 0.764129i
\(344\) −14.3564 + 8.28870i −0.774048 + 0.446897i
\(345\) 3.73317 2.50887i 0.200987 0.135073i
\(346\) −3.99581 + 2.30698i −0.214816 + 0.124024i
\(347\) −6.55263 3.78316i −0.351763 0.203091i 0.313698 0.949523i \(-0.398432\pi\)
−0.665462 + 0.746432i \(0.731765\pi\)
\(348\) −13.6391 6.68083i −0.731134 0.358130i
\(349\) −23.2338 13.4141i −1.24368 0.718038i −0.273837 0.961776i \(-0.588293\pi\)
−0.969841 + 0.243738i \(0.921626\pi\)
\(350\) 1.30633 + 1.38189i 0.0698265 + 0.0738649i
\(351\) 6.41950 17.6009i 0.342648 0.939464i
\(352\) 15.9716 27.6636i 0.851288 1.47447i
\(353\) 12.8501 0.683940 0.341970 0.939711i \(-0.388906\pi\)
0.341970 + 0.939711i \(0.388906\pi\)
\(354\) 1.30526 0.877198i 0.0693737 0.0466226i
\(355\) 33.2935i 1.76704i
\(356\) −1.72810 −0.0915889
\(357\) −2.89366 0.652476i −0.153149 0.0345327i
\(358\) 3.52811 + 6.11086i 0.186466 + 0.322969i
\(359\) 14.4330 + 8.33290i 0.761745 + 0.439794i 0.829922 0.557880i \(-0.188385\pi\)
−0.0681770 + 0.997673i \(0.521718\pi\)
\(360\) −12.0439 + 9.34430i −0.634771 + 0.492488i
\(361\) 13.7304 0.722655
\(362\) 0.371722 + 0.643841i 0.0195373 + 0.0338395i
\(363\) −24.4741 36.4171i −1.28456 1.91140i
\(364\) −3.27590 15.8988i −0.171704 0.833323i
\(365\) 13.8374i 0.724282i
\(366\) −1.49518 + 3.05245i −0.0781542 + 0.159554i
\(367\) 27.1720i 1.41837i 0.705023 + 0.709184i \(0.250937\pi\)
−0.705023 + 0.709184i \(0.749063\pi\)
\(368\) 2.05727 + 1.18776i 0.107243 + 0.0619165i
\(369\) −16.5026 21.2703i −0.859089 1.10729i
\(370\) 4.70205 2.71473i 0.244448 0.141132i
\(371\) −0.120817 + 0.0287607i −0.00627250 + 0.00149318i
\(372\) −26.1494 + 17.5737i −1.35579 + 0.911155i
\(373\) −17.0879 −0.884780 −0.442390 0.896823i \(-0.645869\pi\)
−0.442390 + 0.896823i \(0.645869\pi\)
\(374\) −2.13114 −0.110199
\(375\) −8.94504 13.3101i −0.461920 0.687330i
\(376\) 7.34179 + 4.23879i 0.378624 + 0.218599i
\(377\) −16.3658 + 8.79458i −0.842880 + 0.452944i
\(378\) 6.80006 3.18529i 0.349758 0.163833i
\(379\) −11.4321 + 19.8010i −0.587229 + 1.01711i 0.407365 + 0.913266i \(0.366448\pi\)
−0.994594 + 0.103845i \(0.966886\pi\)
\(380\) 8.50171 4.90846i 0.436128 0.251799i
\(381\) 5.51621 0.376353i 0.282604 0.0192812i
\(382\) 2.81576 + 4.87703i 0.144067 + 0.249531i
\(383\) 8.52108 0.435407 0.217703 0.976015i \(-0.430143\pi\)
0.217703 + 0.976015i \(0.430143\pi\)
\(384\) −17.9334 8.78430i −0.915161 0.448272i
\(385\) 27.5325 + 29.1248i 1.40319 + 1.48434i
\(386\) −1.53244 + 0.884754i −0.0779991 + 0.0450328i
\(387\) 24.3691 3.34081i 1.23875 0.169823i
\(388\) 16.8618i 0.856027i
\(389\) 11.0480 6.37855i 0.560155 0.323406i −0.193053 0.981188i \(-0.561839\pi\)
0.753208 + 0.657783i \(0.228506\pi\)
\(390\) 0.322441 + 8.56643i 0.0163274 + 0.433778i
\(391\) 0.668865i 0.0338260i
\(392\) 7.75380 11.8402i 0.391626 0.598019i
\(393\) 5.70879 0.389493i 0.287970 0.0196473i
\(394\) 7.49359 0.377522
\(395\) −5.39813 9.34983i −0.271609 0.470441i
\(396\) −24.3118 + 18.8623i −1.22171 + 0.947866i
\(397\) 3.89299i 0.195384i −0.995217 0.0976918i \(-0.968854\pi\)
0.995217 0.0976918i \(-0.0311459\pi\)
\(398\) −1.81898 −0.0911773
\(399\) −10.0440 + 3.12706i −0.502830 + 0.156549i
\(400\) −1.51256 + 2.61983i −0.0756281 + 0.130992i
\(401\) 19.1034 11.0293i 0.953977 0.550779i 0.0596628 0.998219i \(-0.480997\pi\)
0.894314 + 0.447440i \(0.147664\pi\)
\(402\) −1.29354 0.633612i −0.0645158 0.0316017i
\(403\) −1.17530 + 38.5239i −0.0585461 + 1.91901i
\(404\) −4.52409 + 7.83596i −0.225082 + 0.389854i
\(405\) 21.7838 6.08716i 1.08244 0.302473i
\(406\) −7.13591 2.12864i −0.354150 0.105643i
\(407\) 20.6471 11.9206i 1.02344 0.590883i
\(408\) 0.154301 + 2.26159i 0.00763905 + 0.111965i
\(409\) 7.43125 + 4.29044i 0.367452 + 0.212148i 0.672345 0.740238i \(-0.265287\pi\)
−0.304893 + 0.952387i \(0.598621\pi\)
\(410\) 10.6680 + 6.15915i 0.526853 + 0.304179i
\(411\) 0.972788 + 14.2581i 0.0479841 + 0.703302i
\(412\) −4.10846 + 2.37202i −0.202409 + 0.116861i
\(413\) −3.19601 + 3.02128i −0.157265 + 0.148667i
\(414\) 1.03792 + 1.33779i 0.0510111 + 0.0657486i
\(415\) −14.9300 + 25.8595i −0.732886 + 1.26940i
\(416\) −16.8312 + 9.04468i −0.825217 + 0.443452i
\(417\) 13.4775 + 6.60164i 0.659994 + 0.323284i
\(418\) −6.54520 + 3.77887i −0.320136 + 0.184831i
\(419\) −12.5477 + 21.7332i −0.612994 + 1.06174i 0.377739 + 0.925912i \(0.376702\pi\)
−0.990733 + 0.135825i \(0.956632\pi\)
\(420\) 13.2919 14.4008i 0.648577 0.702689i
\(421\) −11.9143 −0.580668 −0.290334 0.956925i \(-0.593766\pi\)
−0.290334 + 0.956925i \(0.593766\pi\)
\(422\) 5.10466i 0.248491i
\(423\) −7.71068 9.93836i −0.374906 0.483219i
\(424\) 0.0474539 + 0.0821926i 0.00230457 + 0.00399163i
\(425\) 0.851768 0.0413168
\(426\) −12.5041 + 0.853118i −0.605827 + 0.0413337i
\(427\) 2.71719 9.10892i 0.131494 0.440812i
\(428\) 32.7127i 1.58123i
\(429\) 1.41587 + 37.6159i 0.0683587 + 1.81611i
\(430\) −9.74692 + 5.62739i −0.470038 + 0.271377i
\(431\) 28.8820i 1.39119i 0.718432 + 0.695597i \(0.244860\pi\)
−0.718432 + 0.695597i \(0.755140\pi\)
\(432\) 7.94806 + 8.91783i 0.382401 + 0.429059i
\(433\) −6.48299 + 3.74296i −0.311553 + 0.179875i −0.647621 0.761963i \(-0.724236\pi\)
0.336068 + 0.941838i \(0.390903\pi\)
\(434\) −11.2258 + 10.6121i −0.538858 + 0.509397i
\(435\) −20.1433 9.86678i −0.965799 0.473076i
\(436\) 10.2963 0.493102
\(437\) −1.18601 2.05423i −0.0567345 0.0982671i
\(438\) −5.19694 + 0.354571i −0.248319 + 0.0169421i
\(439\) −8.85143 + 5.11037i −0.422456 + 0.243905i −0.696127 0.717918i \(-0.745095\pi\)
0.273672 + 0.961823i \(0.411762\pi\)
\(440\) 15.3140 26.5246i 0.730065 1.26451i
\(441\) −17.2887 + 11.9206i −0.823271 + 0.567649i
\(442\) 1.08405 + 0.670762i 0.0515629 + 0.0319049i
\(443\) −26.2992 15.1839i −1.24951 0.721407i −0.278501 0.960436i \(-0.589838\pi\)
−0.971012 + 0.239029i \(0.923171\pi\)
\(444\) −6.50257 9.67572i −0.308598 0.459190i
\(445\) −2.55219 −0.120985
\(446\) −2.98142 −0.141174
\(447\) 19.8555 13.3439i 0.939131 0.631143i
\(448\) 4.31844 + 1.28819i 0.204027 + 0.0608613i
\(449\) −19.0172 + 10.9796i −0.897478 + 0.518159i −0.876381 0.481618i \(-0.840049\pi\)
−0.0210967 + 0.999777i \(0.506716\pi\)
\(450\) −1.70361 + 1.32175i −0.0803089 + 0.0623077i
\(451\) 46.8439 + 27.0453i 2.20579 + 1.27352i
\(452\) 14.5914i 0.686320i
\(453\) 5.95601 12.1594i 0.279838 0.571297i
\(454\) 12.4451i 0.584078i
\(455\) −4.83810 23.4806i −0.226814 1.10079i
\(456\) 4.48407 + 6.67223i 0.209986 + 0.312456i
\(457\) −18.0285 31.2263i −0.843338 1.46070i −0.887057 0.461661i \(-0.847254\pi\)
0.0437182 0.999044i \(-0.486080\pi\)
\(458\) 9.52785 0.445207
\(459\) 1.05560 3.19355i 0.0492710 0.149062i
\(460\) 3.82693 + 2.20948i 0.178431 + 0.103017i
\(461\) 4.57076 + 7.91680i 0.212882 + 0.368722i 0.952615 0.304178i \(-0.0983818\pi\)
−0.739734 + 0.672900i \(0.765048\pi\)
\(462\) −10.2330 + 11.0867i −0.476082 + 0.515802i
\(463\) 22.1372 1.02880 0.514401 0.857550i \(-0.328014\pi\)
0.514401 + 0.857550i \(0.328014\pi\)
\(464\) 11.8463i 0.549950i
\(465\) −38.6195 + 25.9543i −1.79094 + 1.20360i
\(466\) −1.02308 −0.0473931
\(467\) −0.315959 + 0.547257i −0.0146208 + 0.0253240i −0.873243 0.487285i \(-0.837987\pi\)
0.858622 + 0.512609i \(0.171321\pi\)
\(468\) 18.3034 1.94272i 0.846076 0.0898021i
\(469\) 3.86009 + 1.15147i 0.178243 + 0.0531698i
\(470\) 4.98451 + 2.87781i 0.229918 + 0.132743i
\(471\) −13.7209 6.72089i −0.632225 0.309682i
\(472\) 2.91067 + 1.68048i 0.133975 + 0.0773503i
\(473\) −42.7996 + 24.7103i −1.96793 + 1.13618i
\(474\) 3.37322 2.26697i 0.154937 0.104125i
\(475\) 2.61596 1.51033i 0.120029 0.0692986i
\(476\) −0.674886 2.83504i −0.0309334 0.129944i
\(477\) −0.0191266 0.139517i −0.000875747 0.00638803i
\(478\) 6.49417 + 11.2482i 0.297036 + 0.514482i
\(479\) −22.3302 −1.02029 −0.510146 0.860088i \(-0.670409\pi\)
−0.510146 + 0.860088i \(0.670409\pi\)
\(480\) −20.7162 10.1474i −0.945560 0.463162i
\(481\) −14.2545 0.434882i −0.649949 0.0198289i
\(482\) 11.4098 0.519704
\(483\) −3.47961 3.21165i −0.158328 0.146135i
\(484\) 21.5535 37.3317i 0.979704 1.69690i
\(485\) 24.9028i 1.13078i
\(486\) 2.84436 + 8.02540i 0.129023 + 0.364040i
\(487\) 20.1441 34.8907i 0.912817 1.58105i 0.102752 0.994707i \(-0.467235\pi\)
0.810066 0.586339i \(-0.199431\pi\)
\(488\) −7.26412 −0.328831
\(489\) 12.1504 + 18.0796i 0.549459 + 0.817587i
\(490\) 5.26424 8.03856i 0.237814 0.363145i
\(491\) 6.70526 + 3.87128i 0.302604 + 0.174709i 0.643612 0.765352i \(-0.277435\pi\)
−0.341008 + 0.940060i \(0.610768\pi\)
\(492\) 11.6347 23.7525i 0.524531 1.07085i
\(493\) −2.88862 + 1.66775i −0.130097 + 0.0751116i
\(494\) 4.51871 + 0.137859i 0.203307 + 0.00620256i
\(495\) −35.9055 + 27.8573i −1.61383 + 1.25209i
\(496\) −21.2824 12.2874i −0.955608 0.551721i
\(497\) 34.0975 8.11698i 1.52948 0.364096i
\(498\) −10.0947 4.94467i −0.452354 0.221576i
\(499\) −7.94320 + 13.7580i −0.355587 + 0.615894i −0.987218 0.159375i \(-0.949052\pi\)
0.631632 + 0.775269i \(0.282386\pi\)
\(500\) 7.87759 13.6444i 0.352296 0.610195i
\(501\) 23.2014 1.58296i 1.03656 0.0707213i
\(502\) 9.61407 + 5.55069i 0.429097 + 0.247739i
\(503\) 14.9743 + 25.9362i 0.667671 + 1.15644i 0.978554 + 0.205992i \(0.0660420\pi\)
−0.310883 + 0.950448i \(0.600625\pi\)
\(504\) 12.5063 + 10.0566i 0.557074 + 0.447958i
\(505\) −6.68154 + 11.5728i −0.297325 + 0.514981i
\(506\) −2.94623 1.70101i −0.130976 0.0756190i
\(507\) 11.1191 19.5797i 0.493818 0.869565i
\(508\) 2.71600 + 4.70426i 0.120503 + 0.208718i
\(509\) −3.30037 5.71641i −0.146286 0.253376i 0.783566 0.621309i \(-0.213399\pi\)
−0.929852 + 0.367933i \(0.880065\pi\)
\(510\) 0.104759 + 1.53545i 0.00463879 + 0.0679907i
\(511\) 14.1715 3.37356i 0.626912 0.149238i
\(512\) 21.4795i 0.949271i
\(513\) −2.42073 11.6798i −0.106878 0.515676i
\(514\) −11.3018 6.52511i −0.498502 0.287810i
\(515\) −6.06769 + 3.50318i −0.267375 + 0.154369i
\(516\) 13.4792 + 20.0569i 0.593389 + 0.882955i
\(517\) 21.8874 + 12.6367i 0.962607 + 0.555762i
\(518\) −3.92665 4.15375i −0.172527 0.182505i
\(519\) 8.16106 + 12.1435i 0.358231 + 0.533042i
\(520\) −16.1382 + 8.67228i −0.707706 + 0.380304i
\(521\) 11.1062 + 19.2365i 0.486570 + 0.842764i 0.999881 0.0154387i \(-0.00491447\pi\)
−0.513311 + 0.858203i \(0.671581\pi\)
\(522\) 3.18954 7.81811i 0.139602 0.342189i
\(523\) −22.8268 + 13.1791i −0.998147 + 0.576280i −0.907699 0.419621i \(-0.862163\pi\)
−0.0904472 + 0.995901i \(0.528830\pi\)
\(524\) 2.81082 + 4.86849i 0.122791 + 0.212681i
\(525\) 4.08989 4.43112i 0.178497 0.193390i
\(526\) −0.441265 0.764294i −0.0192401 0.0333248i
\(527\) 6.91940i 0.301414i
\(528\) −21.5545 10.5580i −0.938038 0.459478i
\(529\) −10.9661 + 18.9939i −0.476788 + 0.825822i
\(530\) 0.0322176 + 0.0558025i 0.00139944 + 0.00242390i
\(531\) −3.05692 3.94009i −0.132659 0.170985i
\(532\) −7.09972 7.51033i −0.307812 0.325614i
\(533\) −15.3157 28.5009i −0.663398 1.23451i
\(534\) −0.0653976 0.958531i −0.00283003 0.0414797i
\(535\) 48.3127i 2.08874i
\(536\) 3.07832i 0.132963i
\(537\) 18.5713 12.4809i 0.801412 0.538588i
\(538\) 8.98647i 0.387434i
\(539\) 23.1157 35.2980i 0.995664 1.52039i
\(540\) 14.7850 + 16.5889i 0.636244 + 0.713874i
\(541\) 7.27566 12.6018i 0.312805 0.541794i −0.666164 0.745806i \(-0.732065\pi\)
0.978968 + 0.204012i \(0.0653981\pi\)
\(542\) 0.167754 0.290559i 0.00720566 0.0124806i
\(543\) 1.95668 1.31498i 0.0839691 0.0564314i
\(544\) −2.97077 + 1.71518i −0.127371 + 0.0735376i
\(545\) 15.2064 0.651369
\(546\) 8.69468 2.41873i 0.372098 0.103512i
\(547\) 13.3560 0.571060 0.285530 0.958370i \(-0.407830\pi\)
0.285530 + 0.958370i \(0.407830\pi\)
\(548\) −12.1594 + 7.02025i −0.519425 + 0.299890i
\(549\) 9.97973 + 4.07141i 0.425925 + 0.173764i
\(550\) 2.16615 3.75189i 0.0923651 0.159981i
\(551\) −5.91439 + 10.2440i −0.251961 + 0.436410i
\(552\) −1.59181 + 3.24973i −0.0677520 + 0.138318i
\(553\) −8.25955 + 7.80798i −0.351232 + 0.332029i
\(554\) 5.28038i 0.224342i
\(555\) −9.60350 14.2899i −0.407646 0.606571i
\(556\) 14.7441i 0.625289i
\(557\) 21.4071i 0.907046i 0.891245 + 0.453523i \(0.149833\pi\)
−0.891245 + 0.453523i \(0.850167\pi\)
\(558\) −10.7373 13.8394i −0.454546 0.585868i
\(559\) 29.5482 + 0.901470i 1.24976 + 0.0381281i
\(560\) 14.6482 + 4.36956i 0.619000 + 0.184648i
\(561\) 0.460004 + 6.74227i 0.0194214 + 0.284659i
\(562\) 1.16111 + 2.01111i 0.0489786 + 0.0848334i
\(563\) −14.7814 + 25.6022i −0.622963 + 1.07900i 0.365969 + 0.930627i \(0.380738\pi\)
−0.988931 + 0.148376i \(0.952596\pi\)
\(564\) 5.43619 11.0981i 0.228905 0.467316i
\(565\) 21.5497i 0.906601i
\(566\) 3.67778 + 6.37011i 0.154589 + 0.267756i
\(567\) −11.5450 20.8258i −0.484846 0.874599i
\(568\) −13.3927 23.1968i −0.561944 0.973316i
\(569\) −23.8838 + 13.7893i −1.00126 + 0.578078i −0.908621 0.417622i \(-0.862864\pi\)
−0.0926389 + 0.995700i \(0.529530\pi\)
\(570\) 3.04434 + 4.52993i 0.127513 + 0.189738i
\(571\) 17.4312 + 30.1918i 0.729475 + 1.26349i 0.957105 + 0.289740i \(0.0935689\pi\)
−0.227630 + 0.973748i \(0.573098\pi\)
\(572\) −32.5763 + 17.5057i −1.36208 + 0.731952i
\(573\) 14.8216 9.96088i 0.619183 0.416122i
\(574\) 3.70703 12.4272i 0.154728 0.518700i
\(575\) 1.17754 + 0.679853i 0.0491068 + 0.0283518i
\(576\) −1.93021 + 4.73128i −0.0804255 + 0.197137i
\(577\) −9.56438 + 5.52200i −0.398170 + 0.229884i −0.685694 0.727890i \(-0.740501\pi\)
0.287524 + 0.957773i \(0.407168\pi\)
\(578\) −7.84331 4.52834i −0.326239 0.188354i
\(579\) 3.12986 + 4.65719i 0.130073 + 0.193546i
\(580\) 22.0364i 0.915014i
\(581\) 30.1240 + 8.98598i 1.24975 + 0.372801i
\(582\) −9.35280 + 0.638112i −0.387686 + 0.0264506i
\(583\) 0.141470 + 0.245033i 0.00585909 + 0.0101482i
\(584\) −5.56624 9.64100i −0.230332 0.398948i
\(585\) 27.0319 2.86916i 1.11763 0.118625i
\(586\) 6.56417 + 3.78982i 0.271163 + 0.156556i
\(587\) 12.6832 21.9680i 0.523493 0.906717i −0.476133 0.879373i \(-0.657962\pi\)
0.999626 0.0273434i \(-0.00870477\pi\)
\(588\) −17.9892 10.1019i −0.741860 0.416596i
\(589\) 12.2692 + 21.2510i 0.505546 + 0.875631i
\(590\) 1.97612 + 1.14092i 0.0813557 + 0.0469707i
\(591\) −1.61748 23.7074i −0.0665343 0.975192i
\(592\) 4.54654 7.87484i 0.186862 0.323654i
\(593\) 5.88143 10.1869i 0.241521 0.418327i −0.719627 0.694361i \(-0.755687\pi\)
0.961148 + 0.276034i \(0.0890203\pi\)
\(594\) −11.3825 12.7713i −0.467029 0.524013i
\(595\) −0.996725 4.18701i −0.0408618 0.171651i
\(596\) 20.3541 + 11.7515i 0.833738 + 0.481359i
\(597\) 0.392625 + 5.75469i 0.0160691 + 0.235524i
\(598\) 0.963278 + 1.79256i 0.0393913 + 0.0733031i
\(599\) 39.8531 23.0092i 1.62835 0.940131i 0.643770 0.765219i \(-0.277369\pi\)
0.984584 0.174911i \(-0.0559639\pi\)
\(600\) −4.13838 2.02710i −0.168949 0.0827558i
\(601\) −26.1034 15.0708i −1.06478 0.614751i −0.138030 0.990428i \(-0.544077\pi\)
−0.926751 + 0.375677i \(0.877410\pi\)
\(602\) 8.13958 + 8.61033i 0.331745 + 0.350931i
\(603\) −1.72534 + 4.22912i −0.0702614 + 0.172223i
\(604\) 13.3021 0.541256
\(605\) 31.8319 55.1344i 1.29415 2.24153i
\(606\) −4.51762 2.21286i −0.183516 0.0898913i
\(607\) 36.2573i 1.47164i −0.677179 0.735818i \(-0.736798\pi\)
0.677179 0.735818i \(-0.263202\pi\)
\(608\) −6.08259 + 10.5353i −0.246681 + 0.427265i
\(609\) −5.19409 + 23.0353i −0.210475 + 0.933437i
\(610\) −4.93178 −0.199682
\(611\) −7.15614 13.3168i −0.289507 0.538741i
\(612\) 3.27384 0.448817i 0.132337 0.0181423i
\(613\) 33.6982 1.36106 0.680530 0.732721i \(-0.261750\pi\)
0.680530 + 0.732721i \(0.261750\pi\)
\(614\) 5.21433 + 9.03149i 0.210433 + 0.364481i
\(615\) 17.1830 35.0796i 0.692884 1.41454i
\(616\) −30.8987 9.21707i −1.24494 0.371367i
\(617\) −6.51889 + 3.76368i −0.262441 + 0.151520i −0.625447 0.780266i \(-0.715084\pi\)
0.363007 + 0.931786i \(0.381750\pi\)
\(618\) −1.47118 2.18909i −0.0591795 0.0880582i
\(619\) −39.6473 + 22.8904i −1.59356 + 0.920043i −0.600871 + 0.799346i \(0.705179\pi\)
−0.992689 + 0.120697i \(0.961487\pi\)
\(620\) −39.5895 22.8570i −1.58995 0.917960i
\(621\) 4.00831 3.57243i 0.160848 0.143357i
\(622\) −1.24032 0.716101i −0.0497325 0.0287130i
\(623\) 0.622225 + 2.61382i 0.0249289 + 0.104720i
\(624\) 7.64105 + 12.1547i 0.305887 + 0.486576i
\(625\) 14.9239 25.8490i 0.596957 1.03396i
\(626\) −1.98828 −0.0794675
\(627\) 13.3679 + 19.8913i 0.533864 + 0.794382i
\(628\) 15.0104i 0.598981i
\(629\) −2.56029 −0.102086
\(630\) 8.49080 + 6.82768i 0.338281 + 0.272021i
\(631\) −14.0226 24.2878i −0.558230 0.966882i −0.997644 0.0685980i \(-0.978147\pi\)
0.439415 0.898284i \(-0.355186\pi\)
\(632\) 7.52214 + 4.34291i 0.299215 + 0.172752i
\(633\) −16.1496 + 1.10183i −0.641887 + 0.0437940i
\(634\) −9.25085 −0.367398
\(635\) 4.01121 + 6.94761i 0.159180 + 0.275708i
\(636\) 0.114828 0.0771704i 0.00455324 0.00306001i
\(637\) −22.8681 + 10.6795i −0.906065 + 0.423138i
\(638\) 16.9652i 0.671657i
\(639\) 5.39800 + 39.3750i 0.213542 + 1.55765i
\(640\) 28.9746i 1.14532i
\(641\) 0.799986 + 0.461872i 0.0315975 + 0.0182428i 0.515716 0.856760i \(-0.327526\pi\)
−0.484118 + 0.875003i \(0.660859\pi\)
\(642\) 18.1449 1.23797i 0.716124 0.0488589i
\(643\) 6.72532 3.88286i 0.265221 0.153125i −0.361493 0.932375i \(-0.617733\pi\)
0.626714 + 0.779250i \(0.284400\pi\)
\(644\) 1.32983 4.45802i 0.0524025 0.175670i
\(645\) 19.9072 + 29.6216i 0.783844 + 1.16635i
\(646\) 0.811620 0.0319328
\(647\) −24.2168 −0.952061 −0.476030 0.879429i \(-0.657925\pi\)
−0.476030 + 0.879429i \(0.657925\pi\)
\(648\) −12.7289 + 13.0039i −0.500039 + 0.510841i
\(649\) 8.67733 + 5.00986i 0.340615 + 0.196654i
\(650\) −2.28274 + 1.22669i −0.0895363 + 0.0481147i
\(651\) 35.9965 + 33.2245i 1.41081 + 1.30217i
\(652\) −10.7004 + 18.5337i −0.419061 + 0.725835i
\(653\) 31.2511 18.0428i 1.22295 0.706070i 0.257404 0.966304i \(-0.417133\pi\)
0.965546 + 0.260234i \(0.0837996\pi\)
\(654\) 0.389650 + 5.71109i 0.0152365 + 0.223321i
\(655\) 4.15124 + 7.19017i 0.162203 + 0.280943i
\(656\) 20.6303 0.805477
\(657\) 2.24350 + 16.3650i 0.0875275 + 0.638458i
\(658\) 1.73208 5.80649i 0.0675234 0.226361i
\(659\) −10.7491 + 6.20598i −0.418724 + 0.241751i −0.694531 0.719462i \(-0.744388\pi\)
0.275807 + 0.961213i \(0.411055\pi\)
\(660\) −40.0956 19.6400i −1.56072 0.764486i
\(661\) 28.4702i 1.10736i −0.832728 0.553682i \(-0.813222\pi\)
0.832728 0.553682i \(-0.186778\pi\)
\(662\) 4.93268 2.84789i 0.191714 0.110686i
\(663\) 1.88809 3.57437i 0.0733275 0.138817i
\(664\) 24.0230i 0.932275i
\(665\) −10.4854 11.0918i −0.406607 0.430123i
\(666\) 5.12080 3.97298i 0.198427 0.153950i
\(667\) −5.32456 −0.206168
\(668\) 11.4236 + 19.7863i 0.441993 + 0.765554i
\(669\) 0.643535 + 9.43228i 0.0248805 + 0.364673i
\(670\) 2.08994i 0.0807415i
\(671\) −21.6559 −0.836015
\(672\) −5.34181 + 23.6904i −0.206065 + 0.913876i
\(673\) 5.65042 9.78682i 0.217808 0.377254i −0.736330 0.676623i \(-0.763443\pi\)
0.954137 + 0.299369i \(0.0967761\pi\)
\(674\) −8.79553 + 5.07810i −0.338791 + 0.195601i
\(675\) 4.54932 + 5.10439i 0.175103 + 0.196468i
\(676\) 22.0804 + 1.34853i 0.849246 + 0.0518666i
\(677\) −6.45592 + 11.1820i −0.248121 + 0.429758i −0.963004 0.269485i \(-0.913146\pi\)
0.714883 + 0.699244i \(0.246480\pi\)
\(678\) 8.09346 0.552191i 0.310827 0.0212068i
\(679\) 25.5041 6.07131i 0.978759 0.232996i
\(680\) −2.84845 + 1.64456i −0.109233 + 0.0630658i
\(681\) −39.3725 + 2.68626i −1.50876 + 0.102938i
\(682\) 30.4787 + 17.5969i 1.16709 + 0.673820i
\(683\) −7.62396 4.40170i −0.291723 0.168426i 0.346996 0.937867i \(-0.387202\pi\)
−0.638719 + 0.769440i \(0.720535\pi\)
\(684\) 9.25884 7.18348i 0.354020 0.274667i
\(685\) −17.9580 + 10.3681i −0.686140 + 0.396143i
\(686\) −9.51610 3.43155i −0.363327 0.131017i
\(687\) −2.05657 30.1432i −0.0784632 1.15003i
\(688\) −9.42456 + 16.3238i −0.359308 + 0.622340i
\(689\) 0.00516104 0.169168i 0.000196620 0.00644478i
\(690\) −1.08072 + 2.20632i −0.0411422 + 0.0839930i
\(691\) −18.3482 + 10.5934i −0.698000 + 0.402990i −0.806602 0.591095i \(-0.798696\pi\)
0.108602 + 0.994085i \(0.465363\pi\)
\(692\) −7.18716 + 12.4485i −0.273215 + 0.473222i
\(693\) 37.2838 + 29.9809i 1.41629 + 1.13888i
\(694\) 4.13279 0.156878
\(695\) 21.7752i 0.825982i
\(696\) 18.0036 1.22833i 0.682425 0.0465597i
\(697\) −2.90438 5.03053i −0.110011 0.190545i
\(698\) 14.6537 0.554652
\(699\) 0.220830 + 3.23670i 0.00835254 + 0.122423i
\(700\) 5.67707 + 1.69347i 0.214573 + 0.0640072i
\(701\) 39.6954i 1.49927i 0.661849 + 0.749637i \(0.269772\pi\)
−0.661849 + 0.749637i \(0.730228\pi\)
\(702\) 1.77025 + 10.0789i 0.0668136 + 0.380405i
\(703\) −7.86321 + 4.53982i −0.296566 + 0.171223i
\(704\) 10.2668i 0.386945i
\(705\) 8.02860 16.3906i 0.302374 0.617306i
\(706\) −6.07847 + 3.50941i −0.228766 + 0.132078i
\(707\) 13.4812 + 4.02144i 0.507012 + 0.151242i
\(708\) 2.15519 4.39989i 0.0809971 0.165358i
\(709\) −9.11397 −0.342282 −0.171141 0.985247i \(-0.554745\pi\)
−0.171141 + 0.985247i \(0.554745\pi\)
\(710\) −9.09260 15.7488i −0.341239 0.591043i
\(711\) −7.90009 10.1825i −0.296277 0.381873i
\(712\) 1.77820 1.02664i 0.0666409 0.0384751i
\(713\) −5.52284 + 9.56583i −0.206832 + 0.358243i
\(714\) 1.54698 0.481631i 0.0578944 0.0180246i
\(715\) −48.1113 + 25.8539i −1.79926 + 0.966880i
\(716\) 19.0378 + 10.9915i 0.711474 + 0.410770i
\(717\) 34.1841 22.9734i 1.27663 0.857959i
\(718\) −9.10300 −0.339721
\(719\) −10.9246 −0.407418 −0.203709 0.979032i \(-0.565300\pi\)
−0.203709 + 0.979032i \(0.565300\pi\)
\(720\) −6.54730 + 16.0486i −0.244003 + 0.598095i
\(721\) 5.06709 + 5.36014i 0.188708 + 0.199622i
\(722\) −6.49492 + 3.74984i −0.241716 + 0.139555i
\(723\) −2.46280 36.0972i −0.0915924 1.34247i
\(724\) 2.00582 + 1.15806i 0.0745458 + 0.0430390i
\(725\) 6.78058i 0.251824i
\(726\) 21.5226 + 10.5424i 0.798780 + 0.391265i
\(727\) 45.7930i 1.69837i 0.528098 + 0.849183i \(0.322905\pi\)
−0.528098 + 0.849183i \(0.677095\pi\)
\(728\) 12.8162 + 14.4136i 0.475000 + 0.534203i
\(729\) 24.7759 10.7309i 0.917627 0.397442i
\(730\) −3.77905 6.54550i −0.139869 0.242260i
\(731\) 5.30725 0.196296
\(732\) 0.720789 + 10.5646i 0.0266411 + 0.390478i
\(733\) 17.4750 + 10.0892i 0.645455 + 0.372654i 0.786713 0.617319i \(-0.211781\pi\)
−0.141258 + 0.989973i \(0.545115\pi\)
\(734\) −7.42079 12.8532i −0.273906 0.474420i
\(735\) −26.5678 14.9193i −0.979968 0.550307i
\(736\) −5.47599 −0.201848
\(737\) 9.17712i 0.338043i
\(738\) 13.6152 + 5.55457i 0.501183 + 0.204466i
\(739\) −48.5659 −1.78652 −0.893262 0.449536i \(-0.851589\pi\)
−0.893262 + 0.449536i \(0.851589\pi\)
\(740\) 8.45747 14.6488i 0.310903 0.538500i
\(741\) −0.539216 14.3256i −0.0198086 0.526263i
\(742\) 0.0492954 0.0466003i 0.00180969 0.00171075i
\(743\) 6.39543 + 3.69241i 0.234626 + 0.135461i 0.612704 0.790312i \(-0.290082\pi\)
−0.378078 + 0.925774i \(0.623415\pi\)
\(744\) 16.4673 33.6184i 0.603719 1.23251i
\(745\) 30.0606 + 17.3555i 1.10134 + 0.635856i
\(746\) 8.08311 4.66678i 0.295944 0.170863i
\(747\) −13.4645 + 33.0038i −0.492640 + 1.20755i
\(748\) −5.74985 + 3.31968i −0.210235 + 0.121380i
\(749\) −49.4794 + 11.7787i −1.80794 + 0.430383i
\(750\) 7.86631 + 3.85315i 0.287237 + 0.140697i
\(751\) 11.5832 + 20.0627i 0.422676 + 0.732097i 0.996200 0.0870918i \(-0.0277573\pi\)
−0.573524 + 0.819189i \(0.694424\pi\)
\(752\) 9.63931 0.351510
\(753\) 15.4855 31.6140i 0.564322 1.15208i
\(754\) 5.33967 8.62966i 0.194459 0.314274i
\(755\) 19.6456 0.714978
\(756\) 13.3850 19.1864i 0.486806 0.697803i
\(757\) −19.9604 + 34.5725i −0.725475 + 1.25656i 0.233304 + 0.972404i \(0.425046\pi\)
−0.958778 + 0.284155i \(0.908287\pi\)
\(758\) 12.4886i 0.453608i
\(759\) −4.74552 + 9.68812i −0.172251 + 0.351657i
\(760\) −5.83214 + 10.1016i −0.211554 + 0.366422i
\(761\) 7.97685 0.289161 0.144580 0.989493i \(-0.453817\pi\)
0.144580 + 0.989493i \(0.453817\pi\)
\(762\) −2.50655 + 1.68453i −0.0908027 + 0.0610239i
\(763\) −3.70732 15.5736i −0.134214 0.563801i
\(764\) 15.1939 + 8.77221i 0.549696 + 0.317367i
\(765\) 4.83506 0.662848i 0.174812 0.0239653i
\(766\) −4.03073 + 2.32714i −0.145636 + 0.0840830i
\(767\) −2.83707 5.27949i −0.102441 0.190631i
\(768\) 4.99540 0.340820i 0.180256 0.0122983i
\(769\) −8.79268 5.07646i −0.317072 0.183062i 0.333015 0.942922i \(-0.391934\pi\)
−0.650087 + 0.759860i \(0.725267\pi\)
\(770\) −20.9778 6.25768i −0.755988