Properties

Label 189.2.w.a.25.20
Level $189$
Weight $2$
Character 189.25
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [189,2,Mod(25,189)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(189, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([10, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.w (of order \(9\), degree \(6\), 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: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 25.20
Character \(\chi\) \(=\) 189.25
Dual form 189.2.w.a.121.20

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(2.03199 - 0.739583i) q^{2} +(-0.528499 - 1.64945i) q^{3} +(2.04991 - 1.72008i) q^{4} +(3.15692 + 1.14902i) q^{5} +(-2.29381 - 2.96080i) q^{6} +(-2.22776 + 1.42726i) q^{7} +(0.730849 - 1.26587i) q^{8} +(-2.44138 + 1.74347i) q^{9} +O(q^{10})\) \(q+(2.03199 - 0.739583i) q^{2} +(-0.528499 - 1.64945i) q^{3} +(2.04991 - 1.72008i) q^{4} +(3.15692 + 1.14902i) q^{5} +(-2.29381 - 2.96080i) q^{6} +(-2.22776 + 1.42726i) q^{7} +(0.730849 - 1.26587i) q^{8} +(-2.44138 + 1.74347i) q^{9} +7.26462 q^{10} +(-4.33921 + 1.57934i) q^{11} +(-3.92055 - 2.47216i) q^{12} +(-0.768974 - 4.36107i) q^{13} +(-3.47120 + 4.54780i) q^{14} +(0.226832 - 5.81444i) q^{15} +(-0.380489 + 2.15786i) q^{16} +2.95237 q^{17} +(-3.67141 + 5.34831i) q^{18} -0.839101 q^{19} +(8.44779 - 3.07474i) q^{20} +(3.53157 + 2.92027i) q^{21} +(-7.64917 + 6.41842i) q^{22} +(-0.430416 - 2.44101i) q^{23} +(-2.47424 - 0.536490i) q^{24} +(4.81565 + 4.04081i) q^{25} +(-4.78792 - 8.29293i) q^{26} +(4.16603 + 3.10551i) q^{27} +(-2.11170 + 6.75767i) q^{28} +(0.980067 - 5.55823i) q^{29} +(-3.83934 - 11.9826i) q^{30} +(2.29231 - 1.92348i) q^{31} +(1.33041 + 7.54514i) q^{32} +(4.89832 + 6.32263i) q^{33} +(5.99918 - 2.18352i) q^{34} +(-8.67282 + 1.94601i) q^{35} +(-2.00570 + 7.77329i) q^{36} +(-3.93660 + 6.81839i) q^{37} +(-1.70504 + 0.620585i) q^{38} +(-6.78697 + 3.57321i) q^{39} +(3.76174 - 3.15648i) q^{40} +(-0.459534 - 2.60615i) q^{41} +(9.33590 + 3.32207i) q^{42} +(6.80164 + 5.70725i) q^{43} +(-6.17838 + 10.7013i) q^{44} +(-9.71051 + 2.69878i) q^{45} +(-2.67993 - 4.64178i) q^{46} +(-1.04660 - 0.878199i) q^{47} +(3.76038 - 0.512829i) q^{48} +(2.92583 - 6.35921i) q^{49} +(12.7739 + 4.64931i) q^{50} +(-1.56032 - 4.86979i) q^{51} +(-9.07769 - 7.61709i) q^{52} +(5.27760 - 9.14106i) q^{53} +(10.7621 + 3.22925i) q^{54} -15.5132 q^{55} +(0.178572 + 3.86317i) q^{56} +(0.443464 + 1.38406i) q^{57} +(-2.11929 - 12.0191i) q^{58} +(-1.40366 - 7.96053i) q^{59} +(-9.53629 - 12.3092i) q^{60} +(5.67839 + 4.76474i) q^{61} +(3.23538 - 5.60384i) q^{62} +(2.95042 - 7.36852i) q^{63} +(6.09249 + 10.5525i) q^{64} +(2.58339 - 14.6511i) q^{65} +(14.6294 + 9.22481i) q^{66} +(-1.96099 - 0.713741i) q^{67} +(6.05208 - 5.07829i) q^{68} +(-3.79886 + 2.00002i) q^{69} +(-16.1838 + 10.3685i) q^{70} +(-2.56447 - 4.44179i) q^{71} +(0.422718 + 4.36467i) q^{72} +(1.30884 + 2.26698i) q^{73} +(-2.95636 + 16.7663i) q^{74} +(4.12005 - 10.0787i) q^{75} +(-1.72008 + 1.44332i) q^{76} +(7.41258 - 9.71160i) q^{77} +(-11.1484 + 12.2802i) q^{78} +(-8.45408 + 3.07703i) q^{79} +(-3.68061 + 6.37500i) q^{80} +(2.92065 - 8.51292i) q^{81} +(-2.86123 - 4.95580i) q^{82} +(-1.36872 + 7.76242i) q^{83} +(12.2625 - 0.0882838i) q^{84} +(9.32038 + 3.39234i) q^{85} +(18.0418 + 6.56670i) q^{86} +(-9.68600 + 1.32095i) q^{87} +(-1.17207 + 6.64713i) q^{88} -9.36279 q^{89} +(-17.7357 + 12.6656i) q^{90} +(7.93749 + 8.61789i) q^{91} +(-5.08104 - 4.26350i) q^{92} +(-4.38416 - 2.76450i) q^{93} +(-2.77617 - 1.01044i) q^{94} +(-2.64897 - 0.964148i) q^{95} +(11.7422 - 6.18205i) q^{96} +(-8.71278 - 7.31089i) q^{97} +(1.24209 - 15.0857i) q^{98} +(7.84012 - 11.4210i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} + 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} + 3 q^{9} - 6 q^{10} + 3 q^{11} - 3 q^{12} - 12 q^{13} + 15 q^{14} - 9 q^{16} - 54 q^{17} - 3 q^{18} - 6 q^{19} - 18 q^{20} - 21 q^{21} - 12 q^{22} + 45 q^{24} - 3 q^{25} + 30 q^{26} - 12 q^{27} - 12 q^{28} - 30 q^{29} - 57 q^{30} - 3 q^{31} + 51 q^{32} + 15 q^{33} - 18 q^{34} - 12 q^{35} - 60 q^{36} + 3 q^{37} - 57 q^{38} - 66 q^{39} - 66 q^{40} + 33 q^{42} - 12 q^{43} + 3 q^{44} + 33 q^{45} + 3 q^{46} - 21 q^{47} + 90 q^{48} + 12 q^{49} - 39 q^{50} - 48 q^{51} + 9 q^{52} + 9 q^{53} - 63 q^{54} - 24 q^{55} + 57 q^{56} - 18 q^{57} - 3 q^{58} - 18 q^{59} + 81 q^{60} + 33 q^{61} + 75 q^{62} + 63 q^{63} - 30 q^{64} + 81 q^{65} + 69 q^{66} - 3 q^{67} + 6 q^{68} - 6 q^{69} - 42 q^{70} - 18 q^{71} - 105 q^{72} + 21 q^{73} - 93 q^{74} + 18 q^{75} - 24 q^{76} + 87 q^{77} - 30 q^{78} + 15 q^{79} + 102 q^{80} + 39 q^{81} - 6 q^{82} - 42 q^{83} - 36 q^{84} - 63 q^{85} + 159 q^{86} + 30 q^{87} + 57 q^{88} - 150 q^{89} - 39 q^{90} + 6 q^{91} - 66 q^{92} - 27 q^{93} + 33 q^{94} - 147 q^{95} + 81 q^{96} - 12 q^{97} + 99 q^{98} + 24 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.03199 0.739583i 1.43683 0.522964i 0.497952 0.867205i \(-0.334086\pi\)
0.938882 + 0.344240i \(0.111864\pi\)
\(3\) −0.528499 1.64945i −0.305129 0.952311i
\(4\) 2.04991 1.72008i 1.02495 0.860038i
\(5\) 3.15692 + 1.14902i 1.41182 + 0.513859i 0.931662 0.363325i \(-0.118359\pi\)
0.480154 + 0.877184i \(0.340581\pi\)
\(6\) −2.29381 2.96080i −0.936444 1.20874i
\(7\) −2.22776 + 1.42726i −0.842014 + 0.539455i
\(8\) 0.730849 1.26587i 0.258394 0.447552i
\(9\) −2.44138 + 1.74347i −0.813793 + 0.581155i
\(10\) 7.26462 2.29727
\(11\) −4.33921 + 1.57934i −1.30832 + 0.476190i −0.899698 0.436513i \(-0.856213\pi\)
−0.408623 + 0.912703i \(0.633991\pi\)
\(12\) −3.92055 2.47216i −1.13177 0.713652i
\(13\) −0.768974 4.36107i −0.213275 1.20954i −0.883875 0.467724i \(-0.845074\pi\)
0.670600 0.741820i \(-0.266037\pi\)
\(14\) −3.47120 + 4.54780i −0.927718 + 1.21545i
\(15\) 0.226832 5.81444i 0.0585678 1.50128i
\(16\) −0.380489 + 2.15786i −0.0951224 + 0.539466i
\(17\) 2.95237 0.716054 0.358027 0.933711i \(-0.383450\pi\)
0.358027 + 0.933711i \(0.383450\pi\)
\(18\) −3.67141 + 5.34831i −0.865361 + 1.26061i
\(19\) −0.839101 −0.192503 −0.0962515 0.995357i \(-0.530685\pi\)
−0.0962515 + 0.995357i \(0.530685\pi\)
\(20\) 8.44779 3.07474i 1.88898 0.687534i
\(21\) 3.53157 + 2.92027i 0.770652 + 0.637256i
\(22\) −7.64917 + 6.41842i −1.63081 + 1.36841i
\(23\) −0.430416 2.44101i −0.0897480 0.508986i −0.996231 0.0867432i \(-0.972354\pi\)
0.906483 0.422243i \(-0.138757\pi\)
\(24\) −2.47424 0.536490i −0.505052 0.109511i
\(25\) 4.81565 + 4.04081i 0.963130 + 0.808162i
\(26\) −4.78792 8.29293i −0.938989 1.62638i
\(27\) 4.16603 + 3.10551i 0.801752 + 0.597657i
\(28\) −2.11170 + 6.75767i −0.399073 + 1.27708i
\(29\) 0.980067 5.55823i 0.181994 1.03214i −0.747764 0.663965i \(-0.768872\pi\)
0.929757 0.368173i \(-0.120017\pi\)
\(30\) −3.83934 11.9826i −0.700965 2.18772i
\(31\) 2.29231 1.92348i 0.411711 0.345467i −0.413288 0.910600i \(-0.635620\pi\)
0.824999 + 0.565134i \(0.191175\pi\)
\(32\) 1.33041 + 7.54514i 0.235186 + 1.33381i
\(33\) 4.89832 + 6.32263i 0.852688 + 1.10063i
\(34\) 5.99918 2.18352i 1.02885 0.374471i
\(35\) −8.67282 + 1.94601i −1.46597 + 0.328935i
\(36\) −2.00570 + 7.77329i −0.334284 + 1.29555i
\(37\) −3.93660 + 6.81839i −0.647173 + 1.12094i 0.336622 + 0.941640i \(0.390716\pi\)
−0.983795 + 0.179297i \(0.942618\pi\)
\(38\) −1.70504 + 0.620585i −0.276595 + 0.100672i
\(39\) −6.78697 + 3.57321i −1.08679 + 0.572171i
\(40\) 3.76174 3.15648i 0.594784 0.499083i
\(41\) −0.459534 2.60615i −0.0717671 0.407012i −0.999435 0.0336057i \(-0.989301\pi\)
0.927668 0.373406i \(-0.121810\pi\)
\(42\) 9.33590 + 3.32207i 1.44056 + 0.512607i
\(43\) 6.80164 + 5.70725i 1.03724 + 0.870348i 0.991695 0.128614i \(-0.0410529\pi\)
0.0455457 + 0.998962i \(0.485497\pi\)
\(44\) −6.17838 + 10.7013i −0.931426 + 1.61328i
\(45\) −9.71051 + 2.69878i −1.44756 + 0.402310i
\(46\) −2.67993 4.64178i −0.395135 0.684393i
\(47\) −1.04660 0.878199i −0.152662 0.128098i 0.563258 0.826281i \(-0.309548\pi\)
−0.715920 + 0.698183i \(0.753992\pi\)
\(48\) 3.76038 0.512829i 0.542764 0.0740205i
\(49\) 2.92583 6.35921i 0.417976 0.908458i
\(50\) 12.7739 + 4.64931i 1.80650 + 0.657511i
\(51\) −1.56032 4.86979i −0.218489 0.681907i
\(52\) −9.07769 7.61709i −1.25885 1.05630i
\(53\) 5.27760 9.14106i 0.724934 1.25562i −0.234068 0.972220i \(-0.575204\pi\)
0.959001 0.283402i \(-0.0914629\pi\)
\(54\) 10.7621 + 3.22925i 1.46454 + 0.439445i
\(55\) −15.5132 −2.09180
\(56\) 0.178572 + 3.86317i 0.0238627 + 0.516237i
\(57\) 0.443464 + 1.38406i 0.0587382 + 0.183323i
\(58\) −2.11929 12.0191i −0.278277 1.57819i
\(59\) −1.40366 7.96053i −0.182740 1.03637i −0.928824 0.370520i \(-0.879179\pi\)
0.746084 0.665852i \(-0.231932\pi\)
\(60\) −9.53629 12.3092i −1.23113 1.58911i
\(61\) 5.67839 + 4.76474i 0.727044 + 0.610062i 0.929324 0.369265i \(-0.120391\pi\)
−0.202280 + 0.979328i \(0.564835\pi\)
\(62\) 3.23538 5.60384i 0.410893 0.711688i
\(63\) 2.95042 7.36852i 0.371718 0.928346i
\(64\) 6.09249 + 10.5525i 0.761561 + 1.31906i
\(65\) 2.58339 14.6511i 0.320430 1.81725i
\(66\) 14.6294 + 9.22481i 1.80076 + 1.13550i
\(67\) −1.96099 0.713741i −0.239573 0.0871973i 0.219444 0.975625i \(-0.429576\pi\)
−0.459016 + 0.888428i \(0.651798\pi\)
\(68\) 6.05208 5.07829i 0.733922 0.615834i
\(69\) −3.79886 + 2.00002i −0.457328 + 0.240774i
\(70\) −16.1838 + 10.3685i −1.93434 + 1.23928i
\(71\) −2.56447 4.44179i −0.304347 0.527144i 0.672769 0.739853i \(-0.265105\pi\)
−0.977116 + 0.212709i \(0.931771\pi\)
\(72\) 0.422718 + 4.36467i 0.0498178 + 0.514382i
\(73\) 1.30884 + 2.26698i 0.153188 + 0.265330i 0.932398 0.361434i \(-0.117713\pi\)
−0.779210 + 0.626763i \(0.784379\pi\)
\(74\) −2.95636 + 16.7663i −0.343670 + 1.94905i
\(75\) 4.12005 10.0787i 0.475743 1.16379i
\(76\) −1.72008 + 1.44332i −0.197307 + 0.165560i
\(77\) 7.41258 9.71160i 0.844742 1.10674i
\(78\) −11.1484 + 12.2802i −1.26230 + 1.39046i
\(79\) −8.45408 + 3.07703i −0.951158 + 0.346193i −0.770563 0.637364i \(-0.780025\pi\)
−0.180595 + 0.983557i \(0.557802\pi\)
\(80\) −3.68061 + 6.37500i −0.411505 + 0.712747i
\(81\) 2.92065 8.51292i 0.324517 0.945880i
\(82\) −2.86123 4.95580i −0.315970 0.547276i
\(83\) −1.36872 + 7.76242i −0.150237 + 0.852036i 0.812775 + 0.582578i \(0.197956\pi\)
−0.963012 + 0.269459i \(0.913155\pi\)
\(84\) 12.2625 0.0882838i 1.33795 0.00963255i
\(85\) 9.32038 + 3.39234i 1.01094 + 0.367951i
\(86\) 18.0418 + 6.56670i 1.94550 + 0.708105i
\(87\) −9.68600 + 1.32095i −1.03845 + 0.141620i
\(88\) −1.17207 + 6.64713i −0.124943 + 0.708586i
\(89\) −9.36279 −0.992454 −0.496227 0.868193i \(-0.665282\pi\)
−0.496227 + 0.868193i \(0.665282\pi\)
\(90\) −17.7357 + 12.6656i −1.86951 + 1.33507i
\(91\) 7.93749 + 8.61789i 0.832075 + 0.903400i
\(92\) −5.08104 4.26350i −0.529735 0.444500i
\(93\) −4.38416 2.76450i −0.454617 0.286665i
\(94\) −2.77617 1.01044i −0.286340 0.104219i
\(95\) −2.64897 0.964148i −0.271779 0.0989195i
\(96\) 11.7422 6.18205i 1.19844 0.630952i
\(97\) −8.71278 7.31089i −0.884649 0.742308i 0.0824809 0.996593i \(-0.473716\pi\)
−0.967130 + 0.254284i \(0.918160\pi\)
\(98\) 1.24209 15.0857i 0.125470 1.52389i
\(99\) 7.84012 11.4210i 0.787962 1.14786i
\(100\) 16.8221 1.68221
\(101\) −1.61803 + 9.17628i −0.161000 + 0.913074i 0.792094 + 0.610399i \(0.208991\pi\)
−0.953094 + 0.302675i \(0.902120\pi\)
\(102\) −6.77217 8.74136i −0.670545 0.865524i
\(103\) 6.29019 + 2.28944i 0.619791 + 0.225585i 0.632782 0.774330i \(-0.281913\pi\)
−0.0129911 + 0.999916i \(0.504135\pi\)
\(104\) −6.08254 2.21386i −0.596442 0.217087i
\(105\) 7.79342 + 13.2769i 0.760560 + 1.29570i
\(106\) 3.96344 22.4778i 0.384963 2.18323i
\(107\) 3.06775 + 5.31350i 0.296571 + 0.513676i 0.975349 0.220667i \(-0.0708236\pi\)
−0.678778 + 0.734343i \(0.737490\pi\)
\(108\) 13.8817 0.799867i 1.33577 0.0769672i
\(109\) −7.83322 + 13.5675i −0.750286 + 1.29953i 0.197398 + 0.980324i \(0.436751\pi\)
−0.947684 + 0.319210i \(0.896582\pi\)
\(110\) −31.5227 + 11.4733i −3.00557 + 1.09394i
\(111\) 13.3271 + 2.88972i 1.26495 + 0.274280i
\(112\) −2.23220 5.35026i −0.210923 0.505552i
\(113\) −7.99538 + 6.70892i −0.752142 + 0.631122i −0.936069 0.351818i \(-0.885564\pi\)
0.183926 + 0.982940i \(0.441119\pi\)
\(114\) 1.92474 + 2.48441i 0.180268 + 0.232686i
\(115\) 1.44599 8.20063i 0.134840 0.764713i
\(116\) −7.55154 13.0796i −0.701143 1.21441i
\(117\) 9.48073 + 9.30634i 0.876494 + 0.860372i
\(118\) −8.73969 15.1376i −0.804553 1.39353i
\(119\) −6.57717 + 4.21381i −0.602928 + 0.386279i
\(120\) −7.19453 4.53662i −0.656768 0.414135i
\(121\) 7.90793 6.63554i 0.718903 0.603231i
\(122\) 15.0624 + 5.48225i 1.36368 + 0.496339i
\(123\) −4.05585 + 2.13532i −0.365703 + 0.192536i
\(124\) 1.39050 7.88589i 0.124870 0.708174i
\(125\) 2.16082 + 3.74265i 0.193270 + 0.334753i
\(126\) 0.545582 17.1548i 0.0486043 1.52827i
\(127\) 0.0905653 0.156864i 0.00803637 0.0139194i −0.861979 0.506944i \(-0.830775\pi\)
0.870016 + 0.493024i \(0.164109\pi\)
\(128\) 8.44618 + 7.08718i 0.746544 + 0.626424i
\(129\) 5.81918 14.2352i 0.512350 1.25334i
\(130\) −5.58631 31.6815i −0.489952 2.77865i
\(131\) −2.41431 13.6922i −0.210939 1.19630i −0.887816 0.460199i \(-0.847778\pi\)
0.676876 0.736097i \(-0.263333\pi\)
\(132\) 20.9165 + 4.53533i 1.82055 + 0.394750i
\(133\) 1.86932 1.19762i 0.162090 0.103847i
\(134\) −4.51257 −0.389827
\(135\) 9.58349 + 14.5907i 0.824816 + 1.25577i
\(136\) 2.15774 3.73731i 0.185024 0.320471i
\(137\) 0.125556 + 0.105354i 0.0107269 + 0.00900098i 0.648135 0.761525i \(-0.275549\pi\)
−0.637408 + 0.770526i \(0.719994\pi\)
\(138\) −6.24005 + 6.87359i −0.531188 + 0.585119i
\(139\) 1.63872 + 0.596444i 0.138994 + 0.0505897i 0.410581 0.911824i \(-0.365326\pi\)
−0.271586 + 0.962414i \(0.587548\pi\)
\(140\) −14.4312 + 18.9070i −1.21966 + 1.59794i
\(141\) −0.895421 + 2.19044i −0.0754081 + 0.184468i
\(142\) −8.49605 7.12903i −0.712973 0.598255i
\(143\) 10.2244 + 17.7091i 0.855005 + 1.48091i
\(144\) −2.83324 5.93153i −0.236103 0.494294i
\(145\) 9.48053 16.4208i 0.787316 1.36367i
\(146\) 4.33617 + 3.63848i 0.358864 + 0.301123i
\(147\) −12.0355 1.46518i −0.992671 0.120846i
\(148\) 3.65849 + 20.7483i 0.300726 + 1.70550i
\(149\) −8.11180 + 6.80661i −0.664544 + 0.557619i −0.911445 0.411422i \(-0.865032\pi\)
0.246901 + 0.969041i \(0.420588\pi\)
\(150\) 0.917833 23.5270i 0.0749407 1.92097i
\(151\) 22.4583 8.17415i 1.82763 0.665203i 0.834103 0.551609i \(-0.185986\pi\)
0.993527 0.113594i \(-0.0362363\pi\)
\(152\) −0.613256 + 1.06219i −0.0497417 + 0.0861551i
\(153\) −7.20785 + 5.14735i −0.582720 + 0.416139i
\(154\) 7.87974 25.2161i 0.634967 2.03197i
\(155\) 9.44675 3.43834i 0.758782 0.276174i
\(156\) −7.76647 + 18.9988i −0.621815 + 1.52112i
\(157\) 3.40588 + 19.3157i 0.271819 + 1.54156i 0.748889 + 0.662696i \(0.230588\pi\)
−0.477070 + 0.878865i \(0.658301\pi\)
\(158\) −14.9029 + 12.5050i −1.18561 + 0.994843i
\(159\) −17.8669 3.87410i −1.41694 0.307236i
\(160\) −4.46955 + 25.3481i −0.353349 + 2.00394i
\(161\) 4.44283 + 4.82367i 0.350144 + 0.380158i
\(162\) −0.361275 19.4582i −0.0283845 1.52878i
\(163\) 3.91324 + 6.77793i 0.306509 + 0.530889i 0.977596 0.210490i \(-0.0675058\pi\)
−0.671087 + 0.741378i \(0.734173\pi\)
\(164\) −5.42477 4.55192i −0.423603 0.355445i
\(165\) 8.19872 + 25.5883i 0.638270 + 1.99205i
\(166\) 2.95973 + 16.7854i 0.229719 + 1.30280i
\(167\) 12.9718 10.8846i 1.00379 0.842279i 0.0162837 0.999867i \(-0.494817\pi\)
0.987505 + 0.157589i \(0.0503721\pi\)
\(168\) 6.27773 2.33622i 0.484337 0.180244i
\(169\) −6.21161 + 2.26084i −0.477816 + 0.173911i
\(170\) 21.4478 1.64497
\(171\) 2.04856 1.46294i 0.156658 0.111874i
\(172\) 23.7596 1.81165
\(173\) 1.23851 7.02395i 0.0941623 0.534021i −0.900839 0.434154i \(-0.857047\pi\)
0.995001 0.0998666i \(-0.0318416\pi\)
\(174\) −18.7049 + 9.84776i −1.41801 + 0.746556i
\(175\) −16.4954 2.12875i −1.24694 0.160918i
\(176\) −1.75698 9.96434i −0.132438 0.751091i
\(177\) −12.3887 + 6.52239i −0.931189 + 0.490253i
\(178\) −19.0251 + 6.92456i −1.42599 + 0.519018i
\(179\) 4.54332 0.339583 0.169792 0.985480i \(-0.445690\pi\)
0.169792 + 0.985480i \(0.445690\pi\)
\(180\) −15.2635 + 22.2350i −1.13768 + 1.65730i
\(181\) 4.52457 7.83678i 0.336308 0.582503i −0.647427 0.762128i \(-0.724155\pi\)
0.983735 + 0.179624i \(0.0574882\pi\)
\(182\) 22.5025 + 11.6410i 1.66800 + 0.862889i
\(183\) 4.85818 11.8844i 0.359127 0.878520i
\(184\) −3.40457 1.23916i −0.250988 0.0913522i
\(185\) −20.2620 + 17.0019i −1.48969 + 1.25000i
\(186\) −10.9531 2.37498i −0.803124 0.174142i
\(187\) −12.8109 + 4.66280i −0.936829 + 0.340978i
\(188\) −3.65599 −0.266641
\(189\) −13.7133 0.972318i −0.997496 0.0707257i
\(190\) −6.09575 −0.442232
\(191\) −3.09289 + 1.12572i −0.223794 + 0.0814542i −0.451483 0.892280i \(-0.649105\pi\)
0.227690 + 0.973734i \(0.426883\pi\)
\(192\) 14.1860 15.6263i 1.02378 1.12773i
\(193\) 8.65087 7.25894i 0.622703 0.522510i −0.275949 0.961172i \(-0.588992\pi\)
0.898652 + 0.438662i \(0.144548\pi\)
\(194\) −23.1113 8.41182i −1.65929 0.603933i
\(195\) −25.5316 + 3.48192i −1.82836 + 0.249346i
\(196\) −4.94064 18.0684i −0.352903 1.29060i
\(197\) −8.04334 + 13.9315i −0.573064 + 0.992576i 0.423185 + 0.906043i \(0.360912\pi\)
−0.996249 + 0.0865328i \(0.972421\pi\)
\(198\) 7.48423 29.0058i 0.531881 2.06136i
\(199\) −5.07815 −0.359980 −0.179990 0.983668i \(-0.557607\pi\)
−0.179990 + 0.983668i \(0.557607\pi\)
\(200\) 8.63465 3.14275i 0.610562 0.222226i
\(201\) −0.140902 + 3.61176i −0.00993843 + 0.254754i
\(202\) 3.49881 + 19.8428i 0.246176 + 1.39613i
\(203\) 5.74972 + 13.7812i 0.403551 + 0.967252i
\(204\) −11.5749 7.29873i −0.810406 0.511013i
\(205\) 1.54381 8.75540i 0.107825 0.611504i
\(206\) 14.4748 1.00851
\(207\) 5.30663 + 5.20902i 0.368836 + 0.362052i
\(208\) 9.70318 0.672794
\(209\) 3.64104 1.32523i 0.251856 0.0916680i
\(210\) 25.6555 + 21.2147i 1.77040 + 1.46395i
\(211\) 2.49358 2.09236i 0.171665 0.144044i −0.552907 0.833243i \(-0.686482\pi\)
0.724572 + 0.689199i \(0.242037\pi\)
\(212\) −4.90474 27.8162i −0.336859 1.91042i
\(213\) −5.97120 + 6.57745i −0.409140 + 0.450679i
\(214\) 10.1634 + 8.52812i 0.694757 + 0.582970i
\(215\) 14.9144 + 25.8326i 1.01716 + 1.76177i
\(216\) 6.97591 3.00398i 0.474650 0.204395i
\(217\) −2.36141 + 7.55678i −0.160303 + 0.512987i
\(218\) −5.88269 + 33.3624i −0.398426 + 2.25959i
\(219\) 3.04755 3.35696i 0.205934 0.226843i
\(220\) −31.8007 + 26.6839i −2.14400 + 1.79903i
\(221\) −2.27030 12.8755i −0.152717 0.866099i
\(222\) 29.2177 3.98462i 1.96096 0.267430i
\(223\) −15.2986 + 5.56824i −1.02447 + 0.372877i −0.798973 0.601367i \(-0.794623\pi\)
−0.225498 + 0.974244i \(0.572401\pi\)
\(224\) −13.7328 14.9099i −0.917558 0.996210i
\(225\) −18.8018 1.46923i −1.25346 0.0979484i
\(226\) −11.2847 + 19.5457i −0.750648 + 1.30016i
\(227\) −12.1842 + 4.43470i −0.808696 + 0.294341i −0.713085 0.701077i \(-0.752703\pi\)
−0.0956111 + 0.995419i \(0.530481\pi\)
\(228\) 3.28974 + 2.07439i 0.217868 + 0.137380i
\(229\) −2.56403 + 2.15148i −0.169436 + 0.142174i −0.723563 0.690259i \(-0.757497\pi\)
0.554127 + 0.832432i \(0.313052\pi\)
\(230\) −3.12681 17.7330i −0.206176 1.16928i
\(231\) −19.9363 7.09412i −1.31172 0.466759i
\(232\) −6.31971 5.30287i −0.414909 0.348150i
\(233\) −4.81070 + 8.33238i −0.315159 + 0.545872i −0.979471 0.201583i \(-0.935391\pi\)
0.664312 + 0.747455i \(0.268725\pi\)
\(234\) 26.1476 + 11.8986i 1.70932 + 0.777835i
\(235\) −2.29495 3.97497i −0.149706 0.259298i
\(236\) −16.5701 13.9039i −1.07862 0.905069i
\(237\) 9.54338 + 12.3184i 0.619909 + 0.800165i
\(238\) −10.2483 + 13.4268i −0.664296 + 0.870329i
\(239\) 22.0937 + 8.04146i 1.42913 + 0.520159i 0.936681 0.350185i \(-0.113881\pi\)
0.492444 + 0.870344i \(0.336103\pi\)
\(240\) 12.4605 + 2.70181i 0.804319 + 0.174401i
\(241\) 11.6680 + 9.79063i 0.751603 + 0.630670i 0.935926 0.352196i \(-0.114565\pi\)
−0.184323 + 0.982866i \(0.559009\pi\)
\(242\) 11.1613 19.3319i 0.717475 1.24270i
\(243\) −15.5852 0.318411i −0.999791 0.0204261i
\(244\) 19.8359 1.26986
\(245\) 16.5435 16.7136i 1.05692 1.06780i
\(246\) −6.66219 + 7.33859i −0.424766 + 0.467891i
\(247\) 0.645247 + 3.65938i 0.0410561 + 0.232841i
\(248\) −0.759534 4.30753i −0.0482305 0.273529i
\(249\) 13.5271 1.84479i 0.857245 0.116909i
\(250\) 7.15876 + 6.00692i 0.452760 + 0.379911i
\(251\) 14.5049 25.1232i 0.915540 1.58576i 0.109431 0.993994i \(-0.465097\pi\)
0.806109 0.591767i \(-0.201570\pi\)
\(252\) −6.62633 20.1797i −0.417419 1.27120i
\(253\) 5.72286 + 9.91229i 0.359793 + 0.623180i
\(254\) 0.0680139 0.385726i 0.00426757 0.0242026i
\(255\) 0.669692 17.1664i 0.0419377 1.07500i
\(256\) −0.496177 0.180594i −0.0310111 0.0112871i
\(257\) 13.7665 11.5515i 0.858733 0.720563i −0.102962 0.994685i \(-0.532832\pi\)
0.961695 + 0.274123i \(0.0883874\pi\)
\(258\) 1.29635 33.2296i 0.0807072 2.06879i
\(259\) −0.961851 20.8083i −0.0597665 1.29297i
\(260\) −19.9053 34.4770i −1.23448 2.13817i
\(261\) 7.29788 + 15.2785i 0.451727 + 0.945713i
\(262\) −15.0324 26.0369i −0.928705 1.60856i
\(263\) 3.79793 21.5391i 0.234190 1.32816i −0.610122 0.792308i \(-0.708879\pi\)
0.844312 0.535852i \(-0.180009\pi\)
\(264\) 11.5836 1.57973i 0.712918 0.0972257i
\(265\) 27.1642 22.7935i 1.66869 1.40019i
\(266\) 2.91269 3.81607i 0.178588 0.233978i
\(267\) 4.94822 + 15.4435i 0.302826 + 0.945125i
\(268\) −5.24752 + 1.90994i −0.320544 + 0.116668i
\(269\) 7.08887 12.2783i 0.432216 0.748621i −0.564848 0.825195i \(-0.691065\pi\)
0.997064 + 0.0765747i \(0.0243984\pi\)
\(270\) 30.2646 + 22.5604i 1.84185 + 1.37298i
\(271\) −8.14156 14.1016i −0.494565 0.856611i 0.505416 0.862876i \(-0.331339\pi\)
−0.999980 + 0.00626473i \(0.998006\pi\)
\(272\) −1.12334 + 6.37081i −0.0681128 + 0.386287i
\(273\) 10.0198 17.6471i 0.606428 1.06805i
\(274\) 0.333046 + 0.121219i 0.0201200 + 0.00732309i
\(275\) −27.2779 9.92836i −1.64492 0.598703i
\(276\) −4.34711 + 10.6342i −0.261665 + 0.640102i
\(277\) −4.98026 + 28.2444i −0.299235 + 1.69704i 0.350240 + 0.936660i \(0.386100\pi\)
−0.649474 + 0.760383i \(0.725011\pi\)
\(278\) 3.77097 0.226168
\(279\) −2.24288 + 8.69250i −0.134278 + 0.520406i
\(280\) −3.87513 + 12.4009i −0.231583 + 0.741094i
\(281\) −0.494621 0.415036i −0.0295066 0.0247590i 0.627915 0.778282i \(-0.283909\pi\)
−0.657422 + 0.753523i \(0.728353\pi\)
\(282\) −0.199475 + 5.11318i −0.0118785 + 0.304486i
\(283\) −10.5590 3.84316i −0.627667 0.228452i 0.00854867 0.999963i \(-0.497279\pi\)
−0.636215 + 0.771511i \(0.719501\pi\)
\(284\) −12.8971 4.69417i −0.765304 0.278548i
\(285\) −0.190335 + 4.87890i −0.0112745 + 0.289001i
\(286\) 33.8732 + 28.4230i 2.00296 + 1.68069i
\(287\) 4.74339 + 5.14999i 0.279994 + 0.303994i
\(288\) −16.4027 16.1010i −0.966540 0.948761i
\(289\) −8.28352 −0.487266
\(290\) 7.11981 40.3785i 0.418090 2.37110i
\(291\) −7.45426 + 18.2351i −0.436977 + 1.06896i
\(292\) 6.58237 + 2.39579i 0.385204 + 0.140203i
\(293\) −12.0370 4.38110i −0.703207 0.255947i −0.0344277 0.999407i \(-0.510961\pi\)
−0.668780 + 0.743461i \(0.733183\pi\)
\(294\) −25.5396 + 5.92403i −1.48950 + 0.345496i
\(295\) 4.71561 26.7436i 0.274553 1.55707i
\(296\) 5.75412 + 9.96643i 0.334452 + 0.579287i
\(297\) −22.9819 6.89589i −1.33355 0.400140i
\(298\) −11.4490 + 19.8303i −0.663224 + 1.14874i
\(299\) −10.3144 + 3.75415i −0.596500 + 0.217108i
\(300\) −8.89047 27.7473i −0.513292 1.60199i
\(301\) −23.2982 3.00665i −1.34289 0.173300i
\(302\) 39.5895 33.2196i 2.27812 1.91157i
\(303\) 15.9910 2.18080i 0.918656 0.125284i
\(304\) 0.319269 1.81067i 0.0183113 0.103849i
\(305\) 12.4514 + 21.5665i 0.712966 + 1.23489i
\(306\) −10.8394 + 15.7902i −0.619645 + 0.902664i
\(307\) −3.20676 5.55428i −0.183020 0.316999i 0.759888 0.650054i \(-0.225254\pi\)
−0.942907 + 0.333055i \(0.891921\pi\)
\(308\) −1.50960 32.6581i −0.0860173 1.86087i
\(309\) 0.451965 11.5853i 0.0257114 0.659066i
\(310\) 16.6528 13.9733i 0.945813 0.793632i
\(311\) 18.6443 + 6.78599i 1.05722 + 0.384798i 0.811385 0.584513i \(-0.198714\pi\)
0.245839 + 0.969311i \(0.420936\pi\)
\(312\) −0.437045 + 11.2029i −0.0247428 + 0.634238i
\(313\) −2.04149 + 11.5778i −0.115392 + 0.654418i 0.871164 + 0.490992i \(0.163366\pi\)
−0.986556 + 0.163426i \(0.947745\pi\)
\(314\) 21.2063 + 36.7304i 1.19674 + 2.07281i
\(315\) 17.7808 19.8717i 1.00184 1.11964i
\(316\) −12.0373 + 20.8493i −0.677153 + 1.17286i
\(317\) 1.81873 + 1.52610i 0.102150 + 0.0857141i 0.692432 0.721483i \(-0.256539\pi\)
−0.590282 + 0.807197i \(0.700984\pi\)
\(318\) −39.1706 + 5.34198i −2.19658 + 0.299563i
\(319\) 4.52564 + 25.6662i 0.253387 + 1.43703i
\(320\) 7.10841 + 40.3138i 0.397372 + 2.25361i
\(321\) 7.14306 7.86829i 0.398687 0.439165i
\(322\) 12.5953 + 6.51580i 0.701908 + 0.363111i
\(323\) −2.47734 −0.137843
\(324\) −8.65579 22.4744i −0.480877 1.24858i
\(325\) 13.9191 24.1087i 0.772095 1.33731i
\(326\) 12.9645 + 10.8785i 0.718038 + 0.602505i
\(327\) 26.5188 + 5.75009i 1.46649 + 0.317981i
\(328\) −3.63489 1.32299i −0.200703 0.0730499i
\(329\) 3.58499 + 0.462646i 0.197647 + 0.0255065i
\(330\) 35.5844 + 45.9315i 1.95886 + 2.52845i
\(331\) −4.06744 3.41298i −0.223567 0.187595i 0.524124 0.851642i \(-0.324393\pi\)
−0.747690 + 0.664047i \(0.768837\pi\)
\(332\) 10.5462 + 18.2665i 0.578797 + 1.00251i
\(333\) −2.27690 23.5096i −0.124773 1.28832i
\(334\) 18.3085 31.7112i 1.00179 1.73516i
\(335\) −5.37057 4.50644i −0.293425 0.246213i
\(336\) −7.64528 + 6.50952i −0.417084 + 0.355123i
\(337\) 3.26895 + 18.5391i 0.178071 + 1.00989i 0.934539 + 0.355860i \(0.115812\pi\)
−0.756468 + 0.654031i \(0.773077\pi\)
\(338\) −10.9498 + 9.18801i −0.595593 + 0.499762i
\(339\) 15.2916 + 9.64234i 0.830525 + 0.523700i
\(340\) 24.9410 9.07778i 1.35262 0.492312i
\(341\) −6.90899 + 11.9667i −0.374143 + 0.648034i
\(342\) 3.08069 4.48777i 0.166585 0.242671i
\(343\) 2.55823 + 18.3427i 0.138131 + 0.990414i
\(344\) 12.1956 4.43884i 0.657543 0.239326i
\(345\) −14.2907 + 1.94893i −0.769388 + 0.104927i
\(346\) −2.67815 15.1886i −0.143978 0.816542i
\(347\) 4.52329 3.79549i 0.242823 0.203753i −0.513252 0.858238i \(-0.671559\pi\)
0.756074 + 0.654486i \(0.227115\pi\)
\(348\) −17.5833 + 19.3685i −0.942562 + 1.03826i
\(349\) 1.98947 11.2829i 0.106494 0.603958i −0.884119 0.467262i \(-0.845240\pi\)
0.990613 0.136696i \(-0.0436484\pi\)
\(350\) −35.0929 + 7.87415i −1.87579 + 0.420891i
\(351\) 10.3398 20.5564i 0.551898 1.09722i
\(352\) −17.6893 30.6388i −0.942843 1.63305i
\(353\) −10.3800 8.70988i −0.552473 0.463580i 0.323304 0.946295i \(-0.395206\pi\)
−0.875778 + 0.482715i \(0.839651\pi\)
\(354\) −20.3498 + 22.4159i −1.08158 + 1.19139i
\(355\) −2.99209 16.9690i −0.158804 0.900621i
\(356\) −19.1928 + 16.1047i −1.01722 + 0.853547i
\(357\) 10.4265 + 8.62172i 0.551829 + 0.456310i
\(358\) 9.23197 3.36016i 0.487925 0.177590i
\(359\) −26.8362 −1.41636 −0.708181 0.706031i \(-0.750484\pi\)
−0.708181 + 0.706031i \(0.750484\pi\)
\(360\) −3.68063 + 14.2646i −0.193986 + 0.751812i
\(361\) −18.2959 −0.962943
\(362\) 3.39792 19.2705i 0.178591 1.01284i
\(363\) −15.1243 9.53687i −0.793822 0.500556i
\(364\) 31.0945 + 4.01277i 1.62980 + 0.210326i
\(365\) 1.52709 + 8.66055i 0.0799315 + 0.453314i
\(366\) 1.08227 27.7420i 0.0565710 1.45010i
\(367\) 2.46698 0.897909i 0.128776 0.0468705i −0.276829 0.960919i \(-0.589283\pi\)
0.405604 + 0.914049i \(0.367061\pi\)
\(368\) 5.43114 0.283118
\(369\) 5.66562 + 5.56141i 0.294941 + 0.289515i
\(370\) −28.5979 + 49.5330i −1.48673 + 2.57510i
\(371\) 1.28950 + 27.8966i 0.0669477 + 1.44832i
\(372\) −13.7423 + 1.87413i −0.712503 + 0.0971691i
\(373\) 5.42720 + 1.97534i 0.281010 + 0.102279i 0.478680 0.877989i \(-0.341115\pi\)
−0.197670 + 0.980269i \(0.563338\pi\)
\(374\) −22.5832 + 18.9495i −1.16775 + 0.979857i
\(375\) 5.03133 5.54215i 0.259817 0.286196i
\(376\) −1.87659 + 0.683022i −0.0967776 + 0.0352242i
\(377\) −24.9935 −1.28723
\(378\) −28.5844 + 8.16639i −1.47022 + 0.420034i
\(379\) −2.35232 −0.120830 −0.0604152 0.998173i \(-0.519242\pi\)
−0.0604152 + 0.998173i \(0.519242\pi\)
\(380\) −7.08855 + 2.58002i −0.363635 + 0.132352i
\(381\) −0.306603 0.0664807i −0.0157077 0.00340591i
\(382\) −5.45215 + 4.57490i −0.278956 + 0.234072i
\(383\) 19.9989 + 7.27901i 1.02190 + 0.371940i 0.797990 0.602670i \(-0.205897\pi\)
0.223907 + 0.974611i \(0.428119\pi\)
\(384\) 7.22617 17.6771i 0.368759 0.902082i
\(385\) 34.5598 22.1415i 1.76133 1.12844i
\(386\) 12.2099 21.1481i 0.621466 1.07641i
\(387\) −26.5558 2.07514i −1.34991 0.105485i
\(388\) −30.4357 −1.54514
\(389\) 13.9139 5.06425i 0.705464 0.256768i 0.0357219 0.999362i \(-0.488627\pi\)
0.669742 + 0.742594i \(0.266405\pi\)
\(390\) −49.3048 + 25.9580i −2.49664 + 1.31443i
\(391\) −1.27075 7.20676i −0.0642644 0.364462i
\(392\) −5.91158 8.35134i −0.298580 0.421806i
\(393\) −21.3087 + 11.2186i −1.07488 + 0.565904i
\(394\) −6.04049 + 34.2573i −0.304315 + 1.72586i
\(395\) −30.2244 −1.52075
\(396\) −3.57353 36.8977i −0.179577 1.85418i
\(397\) −37.9255 −1.90343 −0.951713 0.306991i \(-0.900678\pi\)
−0.951713 + 0.306991i \(0.900678\pi\)
\(398\) −10.3187 + 3.75572i −0.517232 + 0.188257i
\(399\) −2.96335 2.45041i −0.148353 0.122674i
\(400\) −10.5518 + 8.85403i −0.527591 + 0.442701i
\(401\) 1.52015 + 8.62118i 0.0759125 + 0.430521i 0.998950 + 0.0458115i \(0.0145874\pi\)
−0.923038 + 0.384710i \(0.874302\pi\)
\(402\) 2.38489 + 7.44327i 0.118947 + 0.371236i
\(403\) −10.1511 8.51782i −0.505665 0.424303i
\(404\) 12.4671 + 21.5936i 0.620261 + 1.07432i
\(405\) 19.0018 23.5187i 0.944208 1.16865i
\(406\) 21.8757 + 23.7509i 1.08567 + 1.17874i
\(407\) 6.31316 35.8037i 0.312931 1.77472i
\(408\) −7.30487 1.58392i −0.361645 0.0784156i
\(409\) 25.7459 21.6034i 1.27305 1.06822i 0.278890 0.960323i \(-0.410033\pi\)
0.994162 0.107895i \(-0.0344110\pi\)
\(410\) −3.33834 18.9327i −0.164869 0.935018i
\(411\) 0.107420 0.262777i 0.00529863 0.0129618i
\(412\) 16.8323 6.12646i 0.829268 0.301829i
\(413\) 14.4888 + 15.7308i 0.712947 + 0.774060i
\(414\) 14.6355 + 6.65997i 0.719296 + 0.327320i
\(415\) −13.2402 + 22.9326i −0.649934 + 1.12572i
\(416\) 31.8818 11.6040i 1.56314 0.568935i
\(417\) 0.117746 3.01820i 0.00576603 0.147802i
\(418\) 6.41843 5.38570i 0.313936 0.263423i
\(419\) −0.518619 2.94123i −0.0253362 0.143689i 0.969516 0.245030i \(-0.0787977\pi\)
−0.994852 + 0.101341i \(0.967687\pi\)
\(420\) 38.8131 + 13.8112i 1.89388 + 0.673917i
\(421\) −9.26236 7.77205i −0.451420 0.378786i 0.388542 0.921431i \(-0.372979\pi\)
−0.839963 + 0.542644i \(0.817423\pi\)
\(422\) 3.51945 6.09586i 0.171324 0.296742i
\(423\) 4.08625 + 0.319310i 0.198680 + 0.0155254i
\(424\) −7.71425 13.3615i −0.374637 0.648891i
\(425\) 14.2176 + 11.9300i 0.689654 + 0.578688i
\(426\) −7.26884 + 17.7815i −0.352176 + 0.861517i
\(427\) −19.4506 2.51012i −0.941283 0.121473i
\(428\) 15.4282 + 5.61542i 0.745752 + 0.271431i
\(429\) 23.8068 26.2239i 1.14940 1.26610i
\(430\) 49.4113 + 41.4610i 2.38283 + 1.99943i
\(431\) 12.5494 21.7362i 0.604484 1.04700i −0.387648 0.921807i \(-0.626712\pi\)
0.992133 0.125190i \(-0.0399542\pi\)
\(432\) −8.28640 + 7.80810i −0.398680 + 0.375667i
\(433\) 38.7840 1.86384 0.931919 0.362667i \(-0.118134\pi\)
0.931919 + 0.362667i \(0.118134\pi\)
\(434\) 0.790517 + 17.1017i 0.0379460 + 0.820910i
\(435\) −32.0957 6.95932i −1.53887 0.333674i
\(436\) 7.27982 + 41.2859i 0.348640 + 1.97724i
\(437\) 0.361163 + 2.04826i 0.0172768 + 0.0979814i
\(438\) 3.70983 9.07523i 0.177263 0.433631i
\(439\) 5.84735 + 4.90651i 0.279079 + 0.234175i 0.771573 0.636141i \(-0.219470\pi\)
−0.492494 + 0.870316i \(0.663915\pi\)
\(440\) −11.3378 + 19.6377i −0.540510 + 0.936191i
\(441\) 3.94400 + 20.6263i 0.187810 + 0.982205i
\(442\) −14.1357 24.4838i −0.672367 1.16457i
\(443\) 0.975535 5.53253i 0.0463490 0.262859i −0.952824 0.303524i \(-0.901837\pi\)
0.999173 + 0.0406656i \(0.0129478\pi\)
\(444\) 32.2898 17.0000i 1.53241 0.806782i
\(445\) −29.5576 10.7581i −1.40116 0.509981i
\(446\) −26.9684 + 22.6292i −1.27699 + 1.07152i
\(447\) 15.5142 + 9.78273i 0.733798 + 0.462707i
\(448\) −28.6338 14.8128i −1.35282 0.699841i
\(449\) −15.4853 26.8214i −0.730798 1.26578i −0.956542 0.291593i \(-0.905815\pi\)
0.225744 0.974187i \(-0.427519\pi\)
\(450\) −39.2917 + 10.9201i −1.85223 + 0.514777i
\(451\) 6.11001 + 10.5829i 0.287709 + 0.498327i
\(452\) −4.84993 + 27.5053i −0.228121 + 1.29374i
\(453\) −25.3520 32.7238i −1.19114 1.53750i
\(454\) −21.4784 + 18.0225i −1.00803 + 0.845839i
\(455\) 15.1559 + 36.3263i 0.710517 + 1.70300i
\(456\) 2.07614 + 0.450170i 0.0972241 + 0.0210811i
\(457\) 3.44394 1.25349i 0.161101 0.0586358i −0.260211 0.965552i \(-0.583792\pi\)
0.421312 + 0.906916i \(0.361570\pi\)
\(458\) −3.61888 + 6.26809i −0.169099 + 0.292889i
\(459\) 12.2996 + 9.16862i 0.574098 + 0.427955i
\(460\) −11.1416 19.2977i −0.519478 0.899762i
\(461\) −2.83706 + 16.0897i −0.132135 + 0.749374i 0.844677 + 0.535276i \(0.179792\pi\)
−0.976812 + 0.214098i \(0.931319\pi\)
\(462\) −45.7571 + 0.329429i −2.12881 + 0.0153264i
\(463\) 0.873706 + 0.318003i 0.0406046 + 0.0147789i 0.362243 0.932084i \(-0.382011\pi\)
−0.321638 + 0.946863i \(0.604233\pi\)
\(464\) 11.6210 + 4.22970i 0.539491 + 0.196359i
\(465\) −10.6640 13.7648i −0.494530 0.638327i
\(466\) −3.61280 + 20.4892i −0.167360 + 0.949144i
\(467\) 6.04307 0.279640 0.139820 0.990177i \(-0.455348\pi\)
0.139820 + 0.990177i \(0.455348\pi\)
\(468\) 35.4422 + 2.76955i 1.63832 + 0.128022i
\(469\) 5.38730 1.20880i 0.248763 0.0558174i
\(470\) −7.60313 6.37978i −0.350706 0.294277i
\(471\) 30.0603 15.8262i 1.38511 0.729231i
\(472\) −11.1028 4.04110i −0.511049 0.186007i
\(473\) −38.5275 14.0228i −1.77149 0.644771i
\(474\) 28.5025 + 17.9727i 1.30916 + 0.825512i
\(475\) −4.04082 3.39065i −0.185405 0.155574i
\(476\) −6.23450 + 19.9511i −0.285758 + 0.914459i
\(477\) 3.05252 + 31.5181i 0.139765 + 1.44311i
\(478\) 50.8416 2.32544
\(479\) −3.10382 + 17.6026i −0.141817 + 0.804285i 0.828051 + 0.560653i \(0.189450\pi\)
−0.969868 + 0.243632i \(0.921661\pi\)
\(480\) 44.1725 6.02412i 2.01619 0.274962i
\(481\) 32.7626 + 11.9246i 1.49385 + 0.543716i
\(482\) 30.9503 + 11.2650i 1.40975 + 0.513106i
\(483\) 5.60838 9.87754i 0.255190 0.449444i
\(484\) 4.79688 27.2045i 0.218040 1.23657i
\(485\) −19.1051 33.0911i −0.867520 1.50259i
\(486\) −31.9045 + 10.8796i −1.44722 + 0.493506i
\(487\) 10.5234 18.2271i 0.476861 0.825947i −0.522788 0.852463i \(-0.675108\pi\)
0.999648 + 0.0265160i \(0.00844128\pi\)
\(488\) 10.1816 3.70579i 0.460898 0.167753i
\(489\) 9.11172 10.0368i 0.412046 0.453881i
\(490\) 21.2550 46.1972i 0.960205 2.08698i
\(491\) −19.1658 + 16.0820i −0.864942 + 0.725773i −0.963027 0.269405i \(-0.913173\pi\)
0.0980847 + 0.995178i \(0.468728\pi\)
\(492\) −4.64119 + 11.3536i −0.209241 + 0.511859i
\(493\) 2.89352 16.4100i 0.130317 0.739067i
\(494\) 4.01755 + 6.95860i 0.180758 + 0.313082i
\(495\) 37.8737 27.0468i 1.70229 1.21566i
\(496\) 3.27840 + 5.67835i 0.147204 + 0.254966i
\(497\) 12.0526 + 6.23507i 0.540635 + 0.279681i
\(498\) 26.1225 13.7530i 1.17058 0.616287i
\(499\) −16.9122 + 14.1910i −0.757093 + 0.635276i −0.937368 0.348340i \(-0.886745\pi\)
0.180276 + 0.983616i \(0.442301\pi\)
\(500\) 10.8671 + 3.95531i 0.485992 + 0.176887i
\(501\) −24.8093 15.6438i −1.10840 0.698915i
\(502\) 10.8931 61.7776i 0.486181 2.75727i
\(503\) 15.6150 + 27.0460i 0.696238 + 1.20592i 0.969762 + 0.244054i \(0.0784775\pi\)
−0.273524 + 0.961865i \(0.588189\pi\)
\(504\) −7.17126 9.12011i −0.319433 0.406242i
\(505\) −15.6517 + 27.1096i −0.696493 + 1.20636i
\(506\) 18.9598 + 15.9091i 0.842864 + 0.707247i
\(507\) 7.01198 + 9.05090i 0.311413 + 0.401964i
\(508\) −0.0841670 0.477335i −0.00373431 0.0211783i
\(509\) −7.13189 40.4469i −0.316115 1.79278i −0.565896 0.824476i \(-0.691470\pi\)
0.249781 0.968302i \(-0.419641\pi\)
\(510\) −11.3352 35.3772i −0.501929 1.56653i
\(511\) −6.15136 3.18222i −0.272120 0.140773i
\(512\) −23.1932 −1.02500
\(513\) −3.49572 2.60584i −0.154340 0.115051i
\(514\) 19.4302 33.6540i 0.857027 1.48442i
\(515\) 17.2270 + 14.4552i 0.759111 + 0.636970i
\(516\) −12.5569 39.1903i −0.552788 1.72526i
\(517\) 5.92838 + 2.15775i 0.260730 + 0.0948979i
\(518\) −17.3440 41.5709i −0.762050 1.82652i
\(519\) −12.2402 + 1.66928i −0.537286 + 0.0732734i
\(520\) −16.6583 13.9780i −0.730515 0.612975i
\(521\) −8.41822 14.5808i −0.368809 0.638796i 0.620571 0.784151i \(-0.286901\pi\)
−0.989380 + 0.145355i \(0.953568\pi\)
\(522\) 26.1289 + 25.6483i 1.14363 + 1.12259i
\(523\) −15.2717 + 26.4514i −0.667786 + 1.15664i 0.310736 + 0.950496i \(0.399425\pi\)
−0.978522 + 0.206143i \(0.933909\pi\)
\(524\) −28.5008 23.9150i −1.24506 1.04473i
\(525\) 5.20654 + 28.3334i 0.227232 + 1.23657i
\(526\) −8.21263 46.5762i −0.358088 2.03082i
\(527\) 6.76774 5.67881i 0.294807 0.247373i
\(528\) −15.5071 + 8.16420i −0.674862 + 0.355301i
\(529\) 15.8397 5.76516i 0.688680 0.250659i
\(530\) 38.3397 66.4064i 1.66537 2.88451i
\(531\) 17.3058 + 16.9874i 0.751006 + 0.737192i
\(532\) 1.77193 5.67037i 0.0768227 0.245842i
\(533\) −11.0122 + 4.00812i −0.476992 + 0.173611i
\(534\) 21.4765 + 27.7213i 0.929377 + 1.19962i
\(535\) 3.57930 + 20.2992i 0.154747 + 0.877612i
\(536\) −2.33669 + 1.96071i −0.100929 + 0.0846899i
\(537\) −2.40114 7.49398i −0.103617 0.323389i
\(538\) 5.32369 30.1922i 0.229521 1.30168i
\(539\) −2.65242 + 32.2148i −0.114248 + 1.38759i
\(540\) 44.7424 + 13.4253i 1.92541 + 0.577732i
\(541\) 2.15170 + 3.72686i 0.0925089 + 0.160230i 0.908566 0.417741i \(-0.137178\pi\)
−0.816057 + 0.577971i \(0.803845\pi\)
\(542\) −26.9729 22.6329i −1.15858 0.972168i
\(543\) −15.3176 3.32132i −0.657342 0.142532i
\(544\) 3.92787 + 22.2760i 0.168406 + 0.955077i
\(545\) −40.3182 + 33.8310i −1.72704 + 1.44916i
\(546\) 7.30872 43.2691i 0.312784 1.85175i
\(547\) −28.9084 + 10.5218i −1.23603 + 0.449880i −0.875660 0.482928i \(-0.839573\pi\)
−0.360374 + 0.932808i \(0.617351\pi\)
\(548\) 0.438594 0.0187358
\(549\) −22.1703 1.73244i −0.946204 0.0739389i
\(550\) −62.7713 −2.67658
\(551\) −0.822375 + 4.66392i −0.0350344 + 0.198690i
\(552\) −0.244626 + 6.27056i −0.0104120 + 0.266893i
\(553\) 14.4419 18.9211i 0.614133 0.804607i
\(554\) 10.7693 + 61.0757i 0.457543 + 2.59486i
\(555\) 38.7522 + 24.4358i 1.64494 + 1.03724i
\(556\) 4.38514 1.59606i 0.185971 0.0676881i
\(557\) −31.5974 −1.33882 −0.669412 0.742892i \(-0.733454\pi\)
−0.669412 + 0.742892i \(0.733454\pi\)
\(558\) 1.87132 + 19.3219i 0.0792193 + 0.817959i
\(559\) 19.6594 34.0512i 0.831506 1.44021i
\(560\) −0.899303 19.4552i −0.0380025 0.822132i
\(561\) 14.4616 + 18.6667i 0.610571 + 0.788111i
\(562\) −1.31202 0.477535i −0.0553441 0.0201436i
\(563\) −1.86377 + 1.56389i −0.0785485 + 0.0659100i −0.681217 0.732082i \(-0.738549\pi\)
0.602668 + 0.797992i \(0.294104\pi\)
\(564\) 1.93219 + 6.03038i 0.0813598 + 0.253925i
\(565\) −32.9495 + 11.9926i −1.38619 + 0.504534i
\(566\) −24.2981 −1.02132
\(567\) 5.64367 + 23.1333i 0.237012 + 0.971507i
\(568\) −7.49696 −0.314566
\(569\) 17.5346 6.38206i 0.735087 0.267550i 0.0527708 0.998607i \(-0.483195\pi\)
0.682317 + 0.731057i \(0.260973\pi\)
\(570\) 3.22160 + 10.0546i 0.134938 + 0.421143i
\(571\) −15.6380 + 13.1218i −0.654428 + 0.549130i −0.908411 0.418078i \(-0.862704\pi\)
0.253983 + 0.967209i \(0.418259\pi\)
\(572\) 51.4200 + 18.7154i 2.14998 + 0.782528i
\(573\) 3.49141 + 4.50663i 0.145856 + 0.188267i
\(574\) 13.4474 + 6.95659i 0.561282 + 0.290362i
\(575\) 7.79093 13.4943i 0.324904 0.562751i
\(576\) −33.2720 15.1406i −1.38633 0.630859i
\(577\) 0.0811997 0.00338039 0.00169019 0.999999i \(-0.499462\pi\)
0.00169019 + 0.999999i \(0.499462\pi\)
\(578\) −16.8320 + 6.12636i −0.700120 + 0.254823i
\(579\) −16.5452 10.4328i −0.687597 0.433574i
\(580\) −8.81075 49.9683i −0.365847 2.07482i
\(581\) −8.02984 19.2463i −0.333134 0.798473i
\(582\) −1.66060 + 42.5666i −0.0688341 + 1.76444i
\(583\) −8.46372 + 48.0001i −0.350531 + 1.98796i
\(584\) 3.82626 0.158332
\(585\) 19.2367 + 40.2729i 0.795339 + 1.66508i
\(586\) −27.6992 −1.14424
\(587\) −4.39620 + 1.60009i −0.181451 + 0.0660426i −0.431148 0.902281i \(-0.641891\pi\)
0.249697 + 0.968324i \(0.419669\pi\)
\(588\) −27.1919 + 17.6985i −1.12137 + 0.729873i
\(589\) −1.92348 + 1.61399i −0.0792556 + 0.0665034i
\(590\) −10.1970 57.8302i −0.419805 2.38083i
\(591\) 27.2302 + 5.90433i 1.12010 + 0.242872i
\(592\) −13.2153 11.0890i −0.543146 0.455754i
\(593\) 4.66656 + 8.08272i 0.191633 + 0.331918i 0.945791 0.324775i \(-0.105288\pi\)
−0.754159 + 0.656692i \(0.771955\pi\)
\(594\) −51.7991 + 2.98468i −2.12534 + 0.122463i
\(595\) −25.6053 + 5.74533i −1.04972 + 0.235536i
\(596\) −4.92055 + 27.9058i −0.201553 + 1.14307i
\(597\) 2.68380 + 8.37616i 0.109840 + 0.342813i
\(598\) −18.1823 + 15.2568i −0.743531 + 0.623896i
\(599\) 4.12966 + 23.4205i 0.168733 + 0.956935i 0.945131 + 0.326691i \(0.105934\pi\)
−0.776398 + 0.630243i \(0.782955\pi\)
\(600\) −9.74722 12.5815i −0.397929 0.513637i
\(601\) −30.6186 + 11.1443i −1.24896 + 0.454584i −0.880050 0.474881i \(-0.842491\pi\)
−0.368910 + 0.929465i \(0.620269\pi\)
\(602\) −49.5653 + 11.1215i −2.02013 + 0.453277i
\(603\) 6.03189 1.67640i 0.245638 0.0682683i
\(604\) 31.9772 55.3862i 1.30114 2.25363i
\(605\) 32.5891 11.8615i 1.32493 0.482237i
\(606\) 30.8806 16.2580i 1.25444 0.660436i
\(607\) −0.808607 + 0.678502i −0.0328203 + 0.0275395i −0.659050 0.752099i \(-0.729042\pi\)
0.626230 + 0.779638i \(0.284597\pi\)
\(608\) −1.11635 6.33114i −0.0452740 0.256762i
\(609\) 19.6927 16.7672i 0.797990 0.679443i
\(610\) 41.2514 + 34.6140i 1.67022 + 1.40148i
\(611\) −3.02508 + 5.23959i −0.122382 + 0.211971i
\(612\) −5.92157 + 22.9496i −0.239365 + 0.927684i
\(613\) 0.576889 + 0.999202i 0.0233003 + 0.0403574i 0.877440 0.479686i \(-0.159249\pi\)
−0.854140 + 0.520043i \(0.825916\pi\)
\(614\) −10.6240 8.91456i −0.428748 0.359762i
\(615\) −15.2575 + 2.08077i −0.615242 + 0.0839049i
\(616\) −6.87613 16.4811i −0.277047 0.664041i
\(617\) −36.6671 13.3457i −1.47616 0.537278i −0.526395 0.850240i \(-0.676457\pi\)
−0.949766 + 0.312962i \(0.898679\pi\)
\(618\) −7.64992 23.8755i −0.307725 0.960414i
\(619\) 12.9710 + 10.8839i 0.521347 + 0.437462i 0.865101 0.501597i \(-0.167254\pi\)
−0.343754 + 0.939060i \(0.611699\pi\)
\(620\) 13.4508 23.2974i 0.540195 0.935646i
\(621\) 5.78747 11.5060i 0.232243 0.461719i
\(622\) 42.9039 1.72029
\(623\) 20.8580 13.3632i 0.835660 0.535385i
\(624\) −5.12812 16.0049i −0.205289 0.640710i
\(625\) −2.93696 16.6563i −0.117478 0.666253i
\(626\) 4.41450 + 25.0359i 0.176439 + 1.00064i
\(627\) −4.11018 5.30533i −0.164145 0.211874i
\(628\) 40.2062 + 33.7370i 1.60440 + 1.34625i
\(629\) −11.6223 + 20.1304i −0.463411 + 0.802652i
\(630\) 21.4337 53.5295i 0.853938 2.13267i
\(631\) −19.1743 33.2108i −0.763315 1.32210i −0.941133 0.338037i \(-0.890237\pi\)
0.177818 0.984063i \(-0.443096\pi\)
\(632\) −2.28354 + 12.9506i −0.0908343 + 0.515147i
\(633\) −4.76910 3.00723i −0.189555 0.119526i
\(634\) 4.82432 + 1.75591i 0.191598 + 0.0697360i
\(635\) 0.466147 0.391144i 0.0184985 0.0155221i
\(636\) −43.2893 + 22.7910i −1.71653 + 0.903720i
\(637\) −29.9828 7.86968i −1.18796 0.311808i
\(638\) 28.1784 + 48.8064i 1.11559 + 1.93226i
\(639\) 14.0050 + 6.37303i 0.554027 + 0.252113i
\(640\) 18.5205 + 32.0785i 0.732089 + 1.26801i
\(641\) 7.29587 41.3769i 0.288169 1.63429i −0.405570 0.914064i \(-0.632927\pi\)
0.693740 0.720226i \(-0.255962\pi\)
\(642\) 8.69537 21.2712i 0.343179 0.839506i
\(643\) −26.6672 + 22.3764i −1.05165 + 0.882441i −0.993266 0.115853i \(-0.963040\pi\)
−0.0583856 + 0.998294i \(0.518595\pi\)
\(644\) 17.4045 + 2.24606i 0.685832 + 0.0885072i
\(645\) 34.7273 38.2531i 1.36739 1.50622i
\(646\) −5.03392 + 1.83220i −0.198057 + 0.0720868i
\(647\) 8.24077 14.2734i 0.323978 0.561146i −0.657327 0.753605i \(-0.728313\pi\)
0.981305 + 0.192459i \(0.0616463\pi\)
\(648\) −8.64167 9.91882i −0.339477 0.389648i
\(649\) 18.6632 + 32.3255i 0.732593 + 1.26889i
\(650\) 10.4532 59.2829i 0.410007 2.32527i
\(651\) 13.7125 0.0987235i 0.537437 0.00386928i
\(652\) 19.6803 + 7.16305i 0.770741 + 0.280527i
\(653\) 27.2755 + 9.92746i 1.06737 + 0.388492i 0.815193 0.579189i \(-0.196631\pi\)
0.252179 + 0.967681i \(0.418853\pi\)
\(654\) 58.1386 7.92877i 2.27340 0.310040i
\(655\) 8.11093 45.9994i 0.316920 1.79734i
\(656\) 5.79855 0.226396
\(657\) −7.14777 3.25263i −0.278861 0.126897i
\(658\) 7.62682 1.71131i 0.297324 0.0667137i
\(659\) 7.69234 + 6.45464i 0.299651 + 0.251437i 0.780199 0.625531i \(-0.215118\pi\)
−0.480548 + 0.876968i \(0.659562\pi\)
\(660\) 60.8204 + 38.3512i 2.36743 + 1.49282i
\(661\) −34.1281 12.4216i −1.32743 0.483145i −0.421598 0.906783i \(-0.638531\pi\)
−0.905831 + 0.423638i \(0.860753\pi\)
\(662\) −10.7892 3.92694i −0.419333 0.152625i
\(663\) −20.0376 + 10.5494i −0.778197 + 0.409705i
\(664\) 8.82587 + 7.40578i 0.342510 + 0.287400i
\(665\) 7.27737 1.63290i 0.282204 0.0633211i
\(666\) −22.0140 46.0873i −0.853023 1.78585i
\(667\) −13.9896 −0.541678
\(668\) 7.86858 44.6250i 0.304445 1.72659i
\(669\) 17.2698 + 22.2915i 0.667690 + 0.861839i
\(670\) −14.2458 5.18505i −0.550364 0.200316i
\(671\) −32.1649 11.7071i −1.24171 0.451946i
\(672\) −17.3354 + 30.5314i −0.668729 + 1.17777i
\(673\) −0.279493 + 1.58508i −0.0107737 + 0.0611005i −0.989721 0.143014i \(-0.954320\pi\)
0.978947 + 0.204115i \(0.0654316\pi\)
\(674\) 20.3537 + 35.2536i 0.783995 + 1.35792i
\(675\) 7.51333 + 31.7892i 0.289188 + 1.22357i
\(676\) −8.84440 + 15.3190i −0.340169 + 0.589190i
\(677\) −26.9891 + 9.82324i −1.03728 + 0.377538i −0.803847 0.594836i \(-0.797217\pi\)
−0.233429 + 0.972374i \(0.574995\pi\)
\(678\) 38.2036 + 8.28371i 1.46720 + 0.318134i
\(679\) 29.8446 + 3.85146i 1.14533 + 0.147806i
\(680\) 11.1061 9.31908i 0.425898 0.357371i
\(681\) 13.7542 + 17.7536i 0.527061 + 0.680318i
\(682\) −5.18860 + 29.4260i −0.198682 + 1.12678i
\(683\) 16.0850 + 27.8600i 0.615475 + 1.06603i 0.990301 + 0.138939i \(0.0443692\pi\)
−0.374826 + 0.927095i \(0.622297\pi\)
\(684\) 1.68299 6.52258i 0.0643507 0.249397i
\(685\) 0.275315 + 0.476860i 0.0105192 + 0.0182199i
\(686\) 18.7643 + 35.3802i 0.716423 + 1.35082i
\(687\) 4.90384 + 3.09219i 0.187093 + 0.117974i
\(688\) −14.9034 + 12.5055i −0.568188 + 0.476766i
\(689\) −43.9232 15.9867i −1.67334 0.609046i
\(690\) −27.5972 + 14.5294i −1.05061 + 0.553125i
\(691\) 5.43752 30.8377i 0.206853 1.17312i −0.687644 0.726048i \(-0.741355\pi\)
0.894497 0.447074i \(-0.147534\pi\)
\(692\) −9.54289 16.5288i −0.362766 0.628329i
\(693\) −1.16506 + 36.6333i −0.0442571 + 1.39158i
\(694\) 6.38419 11.0577i 0.242341 0.419746i
\(695\) 4.48796 + 3.76585i 0.170238 + 0.142847i
\(696\) −5.40686 + 13.2266i −0.204946 + 0.501353i
\(697\) −1.35671 7.69430i −0.0513892 0.291442i
\(698\) −4.30203 24.3980i −0.162834 0.923480i
\(699\) 16.2863 + 3.53136i 0.616004 + 0.133568i
\(700\) −37.4757 + 24.0096i −1.41645 + 0.907479i
\(701\) 41.0228 1.54941 0.774705 0.632323i \(-0.217898\pi\)
0.774705 + 0.632323i \(0.217898\pi\)
\(702\) 5.80719 49.4175i 0.219178 1.86514i
\(703\) 3.30321 5.72132i 0.124583 0.215784i
\(704\) −43.1026 36.1674i −1.62449 1.36311i
\(705\) −5.34363 + 5.88617i −0.201253 + 0.221686i
\(706\) −27.5338 10.0215i −1.03625 0.377163i
\(707\) −9.49241 22.7519i −0.356999 0.855673i
\(708\) −14.1766 + 34.6797i −0.532789 + 1.30334i
\(709\) 12.2501 + 10.2790i 0.460062 + 0.386038i 0.843154 0.537672i \(-0.180696\pi\)
−0.383092 + 0.923710i \(0.625141\pi\)
\(710\) −18.6299 32.2679i −0.699168 1.21099i
\(711\) 15.2749 22.2516i 0.572853 0.834500i
\(712\) −6.84279 + 11.8521i −0.256444 + 0.444174i
\(713\) −5.68188 4.76766i −0.212788 0.178550i
\(714\) 27.5630 + 9.80798i 1.03152 + 0.367054i
\(715\) 11.9293 + 67.6543i 0.446130 + 2.53013i
\(716\) 9.31337 7.81485i 0.348057 0.292055i
\(717\) 1.58749 40.6924i 0.0592858 1.51969i
\(718\) −54.5309 + 19.8476i −2.03508 + 0.740707i
\(719\) 9.90454 17.1552i 0.369377 0.639779i −0.620091 0.784530i \(-0.712904\pi\)
0.989468 + 0.144750i \(0.0462378\pi\)
\(720\) −2.12884 21.9808i −0.0793371 0.819177i
\(721\) −17.2807 + 3.87744i −0.643566 + 0.144403i
\(722\) −37.1771 + 13.5314i −1.38359 + 0.503585i
\(723\) 9.98263 24.4202i 0.371258 0.908196i
\(724\) −4.20491 23.8473i −0.156274 0.886276i
\(725\) 27.1794 22.8062i 1.00942 0.847003i
\(726\) −37.7858 8.19311i −1.40236 0.304075i
\(727\) −3.88585 + 22.0377i −0.144118 + 0.817334i 0.823953 + 0.566658i \(0.191764\pi\)
−0.968071 + 0.250676i \(0.919347\pi\)
\(728\) 16.7102 3.74944i 0.619322 0.138964i
\(729\) 7.71156 + 25.8753i 0.285613 + 0.958345i
\(730\) 9.50823 + 16.4687i 0.351915 + 0.609535i
\(731\) 20.0809 + 16.8499i 0.742721 + 0.623217i
\(732\) −10.4832 32.7183i −0.387472 1.20930i
\(733\) 2.12104 + 12.0290i 0.0783424 + 0.444302i 0.998596 + 0.0529786i \(0.0168715\pi\)
−0.920253 + 0.391323i \(0.872017\pi\)
\(734\) 4.34881 3.64908i 0.160517 0.134690i
\(735\) −36.3116 18.4545i −1.33937 0.680706i
\(736\) 17.8451 6.49510i 0.657781 0.239413i
\(737\) 9.63637 0.354960
\(738\) 15.6256 + 7.11052i 0.575186 + 0.261742i
\(739\) 23.3271 0.858102 0.429051 0.903280i \(-0.358848\pi\)
0.429051 + 0.903280i \(0.358848\pi\)
\(740\) −12.2908 + 69.7044i −0.451818 + 2.56238i
\(741\) 5.69496 2.99828i 0.209209 0.110145i
\(742\) 23.2521 + 55.7319i 0.853613 + 2.04598i
\(743\) 4.94730 + 28.0575i 0.181499 + 1.02933i 0.930372 + 0.366617i \(0.119484\pi\)
−0.748873 + 0.662714i \(0.769405\pi\)
\(744\) −6.70365 + 3.52934i −0.245768 + 0.129392i
\(745\) −33.4292 + 12.1672i −1.22475 + 0.445773i
\(746\) 12.4889 0.457252
\(747\) −10.1919 21.3373i −0.372904 0.780692i
\(748\) −18.2409 + 31.5941i −0.666952 + 1.15519i
\(749\) −14.4180 7.45872i −0.526822 0.272536i
\(750\) 6.12472 14.9827i 0.223643 0.547090i
\(751\) 19.7354 + 7.18311i 0.720156 + 0.262115i 0.675992 0.736909i \(-0.263715\pi\)
0.0441639 + 0.999024i \(0.485938\pi\)
\(752\) 2.29325 1.92427i 0.0836263 0.0701708i
\(753\) −49.1053 10.6475i −1.78950 0.388017i
\(754\) −50.7865 + 18.4848i −1.84954 + 0.673176i
\(755\) 80.2913 2.92210
\(756\) −29.7834 + 21.5947i −1.08321 + 0.785393i
\(757\) 51.2608 1.86310 0.931552 0.363608i \(-0.118455\pi\)
0.931552 + 0.363608i \(0.118455\pi\)
\(758\) −4.77988 + 1.73974i −0.173613 + 0.0631900i
\(759\) 13.3253 14.6782i 0.483678 0.532785i
\(760\) −3.15648 + 2.64860i −0.114498 + 0.0960750i
\(761\) 6.33254 + 2.30486i 0.229555 + 0.0835510i 0.454237 0.890881i \(-0.349912\pi\)
−0.224682 + 0.974432i \(0.572134\pi\)
\(762\) −0.672181 + 0.0916700i −0.0243505 + 0.00332085i
\(763\) −1.91393 41.4053i −0.0692890 1.49897i
\(764\) −4.40381 + 7.62762i −0.159324 + 0.275958i
\(765\) −28.6690 + 7.96778i −1.03653 + 0.288076i
\(766\) 46.0210 1.66281
\(767\) −33.6370 + 12.2429i −1.21456 + 0.442065i
\(768\) −0.0356515 + 0.913864i −0.00128646 + 0.0329762