Properties

Label 189.2.v.a.43.8
Level $189$
Weight $2$
Character 189.43
Analytic conductor $1.509$
Analytic rank $0$
Dimension $54$
CM no
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(22,189)]
 
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([14, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.22");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.v (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: \(54\)
Relative dimension: \(9\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 43.8
Character \(\chi\) \(=\) 189.43
Dual form 189.2.v.a.22.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.89179 + 1.58740i) q^{2} +(-1.45321 - 0.942429i) q^{3} +(0.711733 + 4.03644i) q^{4} +(2.16637 + 0.788496i) q^{5} +(-1.25316 - 4.08971i) q^{6} +(0.173648 - 0.984808i) q^{7} +(-2.59144 + 4.48850i) q^{8} +(1.22366 + 2.73910i) q^{9} +O(q^{10})\) \(q+(1.89179 + 1.58740i) q^{2} +(-1.45321 - 0.942429i) q^{3} +(0.711733 + 4.03644i) q^{4} +(2.16637 + 0.788496i) q^{5} +(-1.25316 - 4.08971i) q^{6} +(0.173648 - 0.984808i) q^{7} +(-2.59144 + 4.48850i) q^{8} +(1.22366 + 2.73910i) q^{9} +(2.84667 + 4.93057i) q^{10} +(-4.00133 + 1.45636i) q^{11} +(2.76976 - 6.53656i) q^{12} +(1.41582 - 1.18802i) q^{13} +(1.89179 - 1.58740i) q^{14} +(-2.40510 - 3.18751i) q^{15} +(-4.32446 + 1.57397i) q^{16} +(-2.58369 - 4.47509i) q^{17} +(-2.03315 + 7.12423i) q^{18} +(0.742518 - 1.28608i) q^{19} +(-1.64083 + 9.30564i) q^{20} +(-1.18046 + 1.26748i) q^{21} +(-9.88150 - 3.59657i) q^{22} +(-0.717017 - 4.06640i) q^{23} +(7.99601 - 4.08051i) q^{24} +(0.241230 + 0.202416i) q^{25} +4.56430 q^{26} +(0.803173 - 5.13370i) q^{27} +4.09871 q^{28} +(7.51467 + 6.30555i) q^{29} +(0.509899 - 9.84795i) q^{30} +(-0.813311 - 4.61252i) q^{31} +(-0.938868 - 0.341720i) q^{32} +(7.18730 + 1.65456i) q^{33} +(2.21595 - 12.5673i) q^{34} +(1.15270 - 1.99654i) q^{35} +(-10.1853 + 6.88872i) q^{36} +(-3.72208 - 6.44683i) q^{37} +(3.44621 - 1.25432i) q^{38} +(-3.17712 + 0.392129i) q^{39} +(-9.15319 + 7.68044i) q^{40} +(-6.88748 + 5.77928i) q^{41} +(-4.24519 + 0.523953i) q^{42} +(-5.92841 + 2.15777i) q^{43} +(-8.72640 - 15.1146i) q^{44} +(0.491129 + 6.89876i) q^{45} +(5.09857 - 8.83097i) q^{46} +(-1.69114 + 9.59096i) q^{47} +(7.76772 + 1.78817i) q^{48} +(-0.939693 - 0.342020i) q^{49} +(0.135041 + 0.765857i) q^{50} +(-0.462795 + 8.93820i) q^{51} +(5.80305 + 4.86934i) q^{52} +10.2060 q^{53} +(9.66868 - 8.43693i) q^{54} -9.81671 q^{55} +(3.97031 + 3.33149i) q^{56} +(-2.29108 + 1.16918i) q^{57} +(4.20673 + 23.8576i) q^{58} +(-8.33107 - 3.03226i) q^{59} +(11.1544 - 11.9767i) q^{60} +(0.844910 - 4.79172i) q^{61} +(5.78329 - 10.0170i) q^{62} +(2.90997 - 0.729426i) q^{63} +(3.36830 + 5.83406i) q^{64} +(4.00395 - 1.45732i) q^{65} +(10.9704 + 14.5392i) q^{66} +(0.364723 - 0.306039i) q^{67} +(16.2245 - 13.6140i) q^{68} +(-2.79032 + 6.58509i) q^{69} +(5.34998 - 1.94723i) q^{70} +(4.51932 + 7.82770i) q^{71} +(-15.4655 - 1.60582i) q^{72} +(-5.54738 + 9.60834i) q^{73} +(3.19231 - 18.1045i) q^{74} +(-0.159796 - 0.521496i) q^{75} +(5.71966 + 2.08179i) q^{76} +(0.739415 + 4.19343i) q^{77} +(-6.63290 - 4.30153i) q^{78} +(3.28295 + 2.75472i) q^{79} -10.6095 q^{80} +(-6.00533 + 6.70343i) q^{81} -22.2037 q^{82} +(4.66403 + 3.91358i) q^{83} +(-5.95630 - 3.86274i) q^{84} +(-2.06866 - 11.7319i) q^{85} +(-14.6405 - 5.32872i) q^{86} +(-4.97788 - 16.2454i) q^{87} +(3.83230 - 21.7340i) q^{88} +(-5.05976 + 8.76376i) q^{89} +(-10.0220 + 13.8306i) q^{90} +(-0.924114 - 1.60061i) q^{91} +(15.9035 - 5.78839i) q^{92} +(-3.16505 + 7.46946i) q^{93} +(-18.4240 + 15.4596i) q^{94} +(2.62264 - 2.20066i) q^{95} +(1.04233 + 1.38141i) q^{96} +(3.34126 - 1.21612i) q^{97} +(-1.23478 - 2.13870i) q^{98} +(-8.88537 - 9.17794i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54 q - 3 q^{3} - 3 q^{5} - 27 q^{8} - 9 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 54 q - 3 q^{3} - 3 q^{5} - 27 q^{8} - 9 q^{9} - 6 q^{11} + 24 q^{12} - 9 q^{13} - 9 q^{15} - 30 q^{17} - 27 q^{18} - 12 q^{20} - 3 q^{21} - 9 q^{22} - 12 q^{23} + 36 q^{24} + 27 q^{25} + 18 q^{26} + 63 q^{27} + 54 q^{28} + 6 q^{29} - 72 q^{30} - 9 q^{31} - 9 q^{32} - 36 q^{33} - 9 q^{34} - 12 q^{35} + 54 q^{38} + 12 q^{39} - 45 q^{40} - 15 q^{41} - 18 q^{42} - 9 q^{43} - 42 q^{44} - 9 q^{45} - 45 q^{47} - 93 q^{48} + 18 q^{50} + 72 q^{51} - 63 q^{52} + 132 q^{53} + 54 q^{54} - 9 q^{56} + 3 q^{57} - 27 q^{58} - 9 q^{60} - 36 q^{62} - 9 q^{63} - 27 q^{64} + 66 q^{65} + 153 q^{66} + 45 q^{67} + 87 q^{68} - 72 q^{71} - 45 q^{72} - 72 q^{74} - 39 q^{75} + 54 q^{76} + 3 q^{77} - 54 q^{78} - 36 q^{79} + 42 q^{80} + 27 q^{81} + 24 q^{83} - 12 q^{84} + 18 q^{85} - 90 q^{86} - 99 q^{87} + 54 q^{88} - 42 q^{89} - 9 q^{90} + 87 q^{92} + 93 q^{93} - 90 q^{94} + 12 q^{95} + 108 q^{96} - 18 q^{97} - 9 q^{98} - 117 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.89179 + 1.58740i 1.33770 + 1.12246i 0.982211 + 0.187780i \(0.0601292\pi\)
0.355486 + 0.934681i \(0.384315\pi\)
\(3\) −1.45321 0.942429i −0.839013 0.544112i
\(4\) 0.711733 + 4.03644i 0.355867 + 2.01822i
\(5\) 2.16637 + 0.788496i 0.968832 + 0.352626i 0.777489 0.628897i \(-0.216493\pi\)
0.191344 + 0.981523i \(0.438716\pi\)
\(6\) −1.25316 4.08971i −0.511601 1.66962i
\(7\) 0.173648 0.984808i 0.0656328 0.372222i
\(8\) −2.59144 + 4.48850i −0.916212 + 1.58693i
\(9\) 1.22366 + 2.73910i 0.407885 + 0.913033i
\(10\) 2.84667 + 4.93057i 0.900195 + 1.55918i
\(11\) −4.00133 + 1.45636i −1.20645 + 0.439110i −0.865469 0.500962i \(-0.832980\pi\)
−0.340976 + 0.940072i \(0.610757\pi\)
\(12\) 2.76976 6.53656i 0.799560 1.88694i
\(13\) 1.41582 1.18802i 0.392679 0.329497i −0.424977 0.905204i \(-0.639718\pi\)
0.817656 + 0.575707i \(0.195273\pi\)
\(14\) 1.89179 1.58740i 0.505602 0.424251i
\(15\) −2.40510 3.18751i −0.620995 0.823010i
\(16\) −4.32446 + 1.57397i −1.08111 + 0.393493i
\(17\) −2.58369 4.47509i −0.626638 1.08537i −0.988222 0.153029i \(-0.951097\pi\)
0.361584 0.932339i \(-0.382236\pi\)
\(18\) −2.03315 + 7.12423i −0.479217 + 1.67920i
\(19\) 0.742518 1.28608i 0.170345 0.295047i −0.768195 0.640216i \(-0.778845\pi\)
0.938541 + 0.345169i \(0.112178\pi\)
\(20\) −1.64083 + 9.30564i −0.366902 + 2.08080i
\(21\) −1.18046 + 1.26748i −0.257597 + 0.276588i
\(22\) −9.88150 3.59657i −2.10674 0.766792i
\(23\) −0.717017 4.06640i −0.149508 0.847904i −0.963636 0.267218i \(-0.913896\pi\)
0.814128 0.580686i \(-0.197216\pi\)
\(24\) 7.99601 4.08051i 1.63218 0.832930i
\(25\) 0.241230 + 0.202416i 0.0482460 + 0.0404832i
\(26\) 4.56430 0.895133
\(27\) 0.803173 5.13370i 0.154571 0.987982i
\(28\) 4.09871 0.774583
\(29\) 7.51467 + 6.30555i 1.39544 + 1.17091i 0.963082 + 0.269209i \(0.0867624\pi\)
0.432357 + 0.901703i \(0.357682\pi\)
\(30\) 0.509899 9.84795i 0.0930944 1.79798i
\(31\) −0.813311 4.61252i −0.146075 0.828432i −0.966498 0.256675i \(-0.917373\pi\)
0.820423 0.571757i \(-0.193738\pi\)
\(32\) −0.938868 0.341720i −0.165970 0.0604081i
\(33\) 7.18730 + 1.65456i 1.25115 + 0.288022i
\(34\) 2.21595 12.5673i 0.380032 2.15527i
\(35\) 1.15270 1.99654i 0.194842 0.337477i
\(36\) −10.1853 + 6.88872i −1.69755 + 1.14812i
\(37\) −3.72208 6.44683i −0.611906 1.05985i −0.990919 0.134461i \(-0.957070\pi\)
0.379013 0.925391i \(-0.376263\pi\)
\(38\) 3.44621 1.25432i 0.559049 0.203477i
\(39\) −3.17712 + 0.392129i −0.508746 + 0.0627909i
\(40\) −9.15319 + 7.68044i −1.44725 + 1.21438i
\(41\) −6.88748 + 5.77928i −1.07564 + 0.902572i −0.995552 0.0942152i \(-0.969966\pi\)
−0.0800919 + 0.996787i \(0.525521\pi\)
\(42\) −4.24519 + 0.523953i −0.655046 + 0.0808478i
\(43\) −5.92841 + 2.15777i −0.904074 + 0.329056i −0.751884 0.659295i \(-0.770855\pi\)
−0.152190 + 0.988351i \(0.548633\pi\)
\(44\) −8.72640 15.1146i −1.31555 2.27861i
\(45\) 0.491129 + 6.89876i 0.0732131 + 1.02841i
\(46\) 5.09857 8.83097i 0.751742 1.30206i
\(47\) −1.69114 + 9.59096i −0.246679 + 1.39899i 0.569882 + 0.821726i \(0.306989\pi\)
−0.816561 + 0.577259i \(0.804122\pi\)
\(48\) 7.76772 + 1.78817i 1.12117 + 0.258101i
\(49\) −0.939693 0.342020i −0.134242 0.0488600i
\(50\) 0.135041 + 0.765857i 0.0190977 + 0.108309i
\(51\) −0.462795 + 8.93820i −0.0648043 + 1.25160i
\(52\) 5.80305 + 4.86934i 0.804739 + 0.675256i
\(53\) 10.2060 1.40190 0.700951 0.713209i \(-0.252759\pi\)
0.700951 + 0.713209i \(0.252759\pi\)
\(54\) 9.66868 8.43693i 1.31574 1.14812i
\(55\) −9.81671 −1.32368
\(56\) 3.97031 + 3.33149i 0.530556 + 0.445189i
\(57\) −2.29108 + 1.16918i −0.303460 + 0.154861i
\(58\) 4.20673 + 23.8576i 0.552371 + 3.13265i
\(59\) −8.33107 3.03226i −1.08461 0.394767i −0.262990 0.964798i \(-0.584709\pi\)
−0.821623 + 0.570031i \(0.806931\pi\)
\(60\) 11.1544 11.9767i 1.44002 1.54619i
\(61\) 0.844910 4.79172i 0.108180 0.613517i −0.881723 0.471768i \(-0.843616\pi\)
0.989903 0.141750i \(-0.0452728\pi\)
\(62\) 5.78329 10.0170i 0.734479 1.27216i
\(63\) 2.90997 0.729426i 0.366622 0.0918991i
\(64\) 3.36830 + 5.83406i 0.421037 + 0.729258i
\(65\) 4.00395 1.45732i 0.496629 0.180758i
\(66\) 10.9704 + 14.5392i 1.35036 + 1.78965i
\(67\) 0.364723 0.306039i 0.0445581 0.0373886i −0.620237 0.784415i \(-0.712963\pi\)
0.664795 + 0.747026i \(0.268519\pi\)
\(68\) 16.2245 13.6140i 1.96751 1.65094i
\(69\) −2.79032 + 6.58509i −0.335915 + 0.792751i
\(70\) 5.34998 1.94723i 0.639445 0.232739i
\(71\) 4.51932 + 7.82770i 0.536345 + 0.928976i 0.999097 + 0.0424888i \(0.0135287\pi\)
−0.462752 + 0.886488i \(0.653138\pi\)
\(72\) −15.4655 1.60582i −1.82263 0.189248i
\(73\) −5.54738 + 9.60834i −0.649272 + 1.12457i 0.334026 + 0.942564i \(0.391593\pi\)
−0.983297 + 0.182007i \(0.941741\pi\)
\(74\) 3.19231 18.1045i 0.371098 2.10460i
\(75\) −0.159796 0.521496i −0.0184516 0.0602171i
\(76\) 5.71966 + 2.08179i 0.656090 + 0.238797i
\(77\) 0.739415 + 4.19343i 0.0842642 + 0.477886i
\(78\) −6.63290 4.30153i −0.751028 0.487052i
\(79\) 3.28295 + 2.75472i 0.369360 + 0.309930i 0.808508 0.588485i \(-0.200275\pi\)
−0.439148 + 0.898415i \(0.644720\pi\)
\(80\) −10.6095 −1.18617
\(81\) −6.00533 + 6.70343i −0.667259 + 0.744826i
\(82\) −22.2037 −2.45199
\(83\) 4.66403 + 3.91358i 0.511943 + 0.429572i 0.861812 0.507227i \(-0.169329\pi\)
−0.349869 + 0.936799i \(0.613774\pi\)
\(84\) −5.95630 3.86274i −0.649885 0.421460i
\(85\) −2.06866 11.7319i −0.224378 1.27251i
\(86\) −14.6405 5.32872i −1.57873 0.574611i
\(87\) −4.97788 16.2454i −0.533684 1.74168i
\(88\) 3.83230 21.7340i 0.408524 2.31686i
\(89\) −5.05976 + 8.76376i −0.536334 + 0.928957i 0.462764 + 0.886482i \(0.346858\pi\)
−0.999098 + 0.0424756i \(0.986476\pi\)
\(90\) −10.0220 + 13.8306i −1.05641 + 1.45788i
\(91\) −0.924114 1.60061i −0.0968735 0.167790i
\(92\) 15.9035 5.78839i 1.65805 0.603481i
\(93\) −3.16505 + 7.46946i −0.328201 + 0.774546i
\(94\) −18.4240 + 15.4596i −1.90029 + 1.59453i
\(95\) 2.62264 2.20066i 0.269077 0.225783i
\(96\) 1.04233 + 1.38141i 0.106382 + 0.140989i
\(97\) 3.34126 1.21612i 0.339254 0.123478i −0.166775 0.985995i \(-0.553335\pi\)
0.506029 + 0.862517i \(0.331113\pi\)
\(98\) −1.23478 2.13870i −0.124731 0.216041i
\(99\) −8.88537 9.17794i −0.893013 0.922418i
\(100\) −0.645349 + 1.11778i −0.0645349 + 0.111778i
\(101\) 0.550590 3.12255i 0.0547857 0.310705i −0.945084 0.326827i \(-0.894021\pi\)
0.999870 + 0.0161213i \(0.00513179\pi\)
\(102\) −15.0640 + 16.1746i −1.49156 + 1.60152i
\(103\) 8.94161 + 3.25448i 0.881043 + 0.320673i 0.742631 0.669701i \(-0.233578\pi\)
0.138412 + 0.990375i \(0.455800\pi\)
\(104\) 1.66340 + 9.43361i 0.163110 + 0.925042i
\(105\) −3.55672 + 1.81506i −0.347101 + 0.177132i
\(106\) 19.3076 + 16.2010i 1.87532 + 1.57358i
\(107\) 3.46942 0.335402 0.167701 0.985838i \(-0.446366\pi\)
0.167701 + 0.985838i \(0.446366\pi\)
\(108\) 21.2935 0.411867i 2.04897 0.0396319i
\(109\) 5.23503 0.501425 0.250712 0.968062i \(-0.419335\pi\)
0.250712 + 0.968062i \(0.419335\pi\)
\(110\) −18.5711 15.5830i −1.77069 1.48578i
\(111\) −0.666704 + 12.8764i −0.0632808 + 1.22217i
\(112\) 0.799128 + 4.53208i 0.0755105 + 0.428241i
\(113\) −15.1040 5.49742i −1.42087 0.517154i −0.486568 0.873643i \(-0.661752\pi\)
−0.934300 + 0.356489i \(0.883974\pi\)
\(114\) −6.19019 1.42502i −0.579764 0.133465i
\(115\) 1.65302 9.37472i 0.154145 0.874197i
\(116\) −20.1036 + 34.8204i −1.86657 + 3.23299i
\(117\) 4.98658 + 2.42436i 0.461010 + 0.224132i
\(118\) −10.9472 18.9612i −1.00777 1.74552i
\(119\) −4.85575 + 1.76735i −0.445126 + 0.162013i
\(120\) 20.5398 2.53508i 1.87502 0.231420i
\(121\) 5.46313 4.58411i 0.496648 0.416737i
\(122\) 9.20478 7.72372i 0.833361 0.699273i
\(123\) 15.4555 1.90757i 1.39358 0.172000i
\(124\) 18.0393 6.56576i 1.61998 0.589623i
\(125\) −5.40053 9.35399i −0.483038 0.836646i
\(126\) 6.66295 + 3.23937i 0.593582 + 0.288586i
\(127\) 8.88379 15.3872i 0.788309 1.36539i −0.138693 0.990335i \(-0.544290\pi\)
0.927002 0.375056i \(-0.122377\pi\)
\(128\) −3.23587 + 18.3515i −0.286013 + 1.62206i
\(129\) 10.6488 + 2.45141i 0.937573 + 0.215835i
\(130\) 9.88799 + 3.59893i 0.867234 + 0.315647i
\(131\) 0.212585 + 1.20563i 0.0185736 + 0.105336i 0.992685 0.120731i \(-0.0385240\pi\)
−0.974112 + 0.226068i \(0.927413\pi\)
\(132\) −1.56309 + 30.1887i −0.136049 + 2.62759i
\(133\) −1.13760 0.954563i −0.0986428 0.0827711i
\(134\) 1.17579 0.101573
\(135\) 5.78788 10.4882i 0.498141 0.902683i
\(136\) 26.7819 2.29653
\(137\) 11.2460 + 9.43653i 0.960813 + 0.806217i 0.981085 0.193577i \(-0.0620089\pi\)
−0.0202725 + 0.999794i \(0.506453\pi\)
\(138\) −15.7319 + 8.02825i −1.33919 + 0.683410i
\(139\) −2.31501 13.1291i −0.196356 1.11359i −0.910474 0.413566i \(-0.864283\pi\)
0.714118 0.700026i \(-0.246828\pi\)
\(140\) 8.87934 + 3.23181i 0.750441 + 0.273138i
\(141\) 11.4964 12.3439i 0.968171 1.03955i
\(142\) −3.87608 + 21.9823i −0.325273 + 1.84472i
\(143\) −3.93499 + 6.81560i −0.329060 + 0.569949i
\(144\) −9.60292 9.91912i −0.800243 0.826593i
\(145\) 11.3077 + 19.5855i 0.939052 + 1.62649i
\(146\) −25.7468 + 9.37105i −2.13082 + 0.775554i
\(147\) 1.04324 + 1.38262i 0.0860453 + 0.114037i
\(148\) 23.3731 19.6124i 1.92126 1.61213i
\(149\) −0.678834 + 0.569609i −0.0556122 + 0.0466642i −0.670170 0.742208i \(-0.733779\pi\)
0.614558 + 0.788872i \(0.289334\pi\)
\(150\) 0.525522 1.24022i 0.0429087 0.101264i
\(151\) −2.66322 + 0.969332i −0.216730 + 0.0788831i −0.448103 0.893982i \(-0.647900\pi\)
0.231374 + 0.972865i \(0.425678\pi\)
\(152\) 3.84838 + 6.66559i 0.312145 + 0.540651i
\(153\) 9.09616 12.5530i 0.735381 1.01485i
\(154\) −5.25784 + 9.10684i −0.423689 + 0.733850i
\(155\) 1.87501 10.6337i 0.150605 0.854122i
\(156\) −3.84407 12.5452i −0.307772 1.00442i
\(157\) 0.665378 + 0.242178i 0.0531029 + 0.0193279i 0.368435 0.929653i \(-0.379894\pi\)
−0.315332 + 0.948981i \(0.602116\pi\)
\(158\) 1.83780 + 10.4227i 0.146208 + 0.829186i
\(159\) −14.8315 9.61843i −1.17621 0.762791i
\(160\) −1.76450 1.48059i −0.139496 0.117051i
\(161\) −4.12913 −0.325421
\(162\) −22.0019 + 3.14862i −1.72863 + 0.247379i
\(163\) −15.0892 −1.18187 −0.590937 0.806717i \(-0.701242\pi\)
−0.590937 + 0.806717i \(0.701242\pi\)
\(164\) −28.2298 23.6876i −2.20437 1.84969i
\(165\) 14.2658 + 9.25155i 1.11059 + 0.720232i
\(166\) 2.61094 + 14.8074i 0.202648 + 1.14927i
\(167\) 7.22202 + 2.62860i 0.558857 + 0.203407i 0.605977 0.795482i \(-0.292782\pi\)
−0.0471205 + 0.998889i \(0.515004\pi\)
\(168\) −2.63002 8.58310i −0.202911 0.662201i
\(169\) −1.66425 + 9.43845i −0.128019 + 0.726035i
\(170\) 14.7098 25.4782i 1.12819 1.95409i
\(171\) 4.43129 + 0.460113i 0.338869 + 0.0351857i
\(172\) −12.9291 22.3939i −0.985837 1.70752i
\(173\) −11.6080 + 4.22498i −0.882542 + 0.321219i −0.743235 0.669030i \(-0.766710\pi\)
−0.139307 + 0.990249i \(0.544487\pi\)
\(174\) 16.3708 38.6347i 1.24107 2.92889i
\(175\) 0.241230 0.202416i 0.0182353 0.0153012i
\(176\) 15.0113 12.5960i 1.13152 0.949457i
\(177\) 9.24913 + 12.2580i 0.695207 + 0.921365i
\(178\) −23.4836 + 8.54733i −1.76017 + 0.640650i
\(179\) 0.519986 + 0.900643i 0.0388656 + 0.0673172i 0.884804 0.465964i \(-0.154292\pi\)
−0.845938 + 0.533281i \(0.820959\pi\)
\(180\) −27.4969 + 6.89249i −2.04950 + 0.513736i
\(181\) 4.50940 7.81050i 0.335181 0.580550i −0.648339 0.761352i \(-0.724536\pi\)
0.983520 + 0.180802i \(0.0578693\pi\)
\(182\) 0.792583 4.49496i 0.0587502 0.333189i
\(183\) −5.74369 + 6.16713i −0.424586 + 0.455887i
\(184\) 20.1102 + 7.31950i 1.48254 + 0.539601i
\(185\) −2.98012 16.9011i −0.219103 1.24259i
\(186\) −17.8446 + 9.10643i −1.30843 + 0.667716i
\(187\) 16.8556 + 14.1435i 1.23260 + 1.03427i
\(188\) −39.9170 −2.91124
\(189\) −4.91624 1.68243i −0.357604 0.122379i
\(190\) 8.45481 0.613376
\(191\) 3.35136 + 2.81213i 0.242496 + 0.203478i 0.755933 0.654649i \(-0.227184\pi\)
−0.513437 + 0.858127i \(0.671628\pi\)
\(192\) 0.603335 11.6525i 0.0435419 0.840948i
\(193\) −2.38109 13.5038i −0.171395 0.972028i −0.942223 0.334985i \(-0.891269\pi\)
0.770829 0.637043i \(-0.219843\pi\)
\(194\) 8.25144 + 3.00328i 0.592419 + 0.215623i
\(195\) −7.19202 1.65564i −0.515031 0.118563i
\(196\) 0.711733 4.03644i 0.0508381 0.288317i
\(197\) 8.02620 13.9018i 0.571843 0.990461i −0.424534 0.905412i \(-0.639562\pi\)
0.996377 0.0850492i \(-0.0271047\pi\)
\(198\) −2.24019 31.4674i −0.159203 2.23629i
\(199\) 0.866270 + 1.50042i 0.0614083 + 0.106362i 0.895095 0.445875i \(-0.147108\pi\)
−0.833687 + 0.552237i \(0.813774\pi\)
\(200\) −1.53368 + 0.558213i −0.108447 + 0.0394716i
\(201\) −0.818441 + 0.101014i −0.0577284 + 0.00712501i
\(202\) 5.99834 5.03320i 0.422041 0.354135i
\(203\) 7.51467 6.30555i 0.527426 0.442563i
\(204\) −36.4079 + 4.49357i −2.54906 + 0.314613i
\(205\) −19.4778 + 7.08934i −1.36039 + 0.495141i
\(206\) 11.7495 + 20.3507i 0.818625 + 1.41790i
\(207\) 10.2609 6.93986i 0.713182 0.482354i
\(208\) −4.25277 + 7.36601i −0.294876 + 0.510741i
\(209\) −1.09806 + 6.22740i −0.0759543 + 0.430758i
\(210\) −9.60980 2.21223i −0.663139 0.152658i
\(211\) −6.11404 2.22533i −0.420908 0.153198i 0.122878 0.992422i \(-0.460788\pi\)
−0.543786 + 0.839224i \(0.683010\pi\)
\(212\) 7.26395 + 41.1959i 0.498890 + 2.82935i
\(213\) 0.809508 15.6344i 0.0554666 1.07125i
\(214\) 6.56341 + 5.50736i 0.448666 + 0.376475i
\(215\) −14.5445 −0.991930
\(216\) 20.9613 + 16.9087i 1.42623 + 1.15049i
\(217\) −4.68367 −0.317948
\(218\) 9.90357 + 8.31009i 0.670755 + 0.562830i
\(219\) 17.1167 8.73496i 1.15664 0.590254i
\(220\) −6.98688 39.6245i −0.471055 2.67149i
\(221\) −8.97454 3.26647i −0.603693 0.219726i
\(222\) −21.7013 + 23.3011i −1.45649 + 1.56387i
\(223\) −4.26418 + 24.1834i −0.285551 + 1.61944i 0.417760 + 0.908557i \(0.362815\pi\)
−0.703311 + 0.710882i \(0.748296\pi\)
\(224\) −0.499561 + 0.865266i −0.0333783 + 0.0578130i
\(225\) −0.259255 + 0.908440i −0.0172837 + 0.0605627i
\(226\) −19.8471 34.3761i −1.32021 2.28666i
\(227\) 19.7657 7.19411i 1.31189 0.477490i 0.411041 0.911617i \(-0.365165\pi\)
0.900852 + 0.434127i \(0.142943\pi\)
\(228\) −6.34995 8.41565i −0.420535 0.557340i
\(229\) 13.3188 11.1758i 0.880131 0.738518i −0.0860749 0.996289i \(-0.527432\pi\)
0.966206 + 0.257771i \(0.0829880\pi\)
\(230\) 18.0086 15.1110i 1.18745 0.996390i
\(231\) 2.87748 6.79080i 0.189324 0.446802i
\(232\) −47.7763 + 17.3892i −3.13667 + 1.14165i
\(233\) −0.973667 1.68644i −0.0637870 0.110482i 0.832368 0.554223i \(-0.186985\pi\)
−0.896155 + 0.443741i \(0.853651\pi\)
\(234\) 5.58514 + 12.5021i 0.365112 + 0.817286i
\(235\) −11.2261 + 19.4441i −0.732309 + 1.26840i
\(236\) 6.31004 35.7860i 0.410749 2.32947i
\(237\) −2.17469 7.09714i −0.141262 0.461009i
\(238\) −11.9916 4.36457i −0.777297 0.282913i
\(239\) −1.21595 6.89600i −0.0786533 0.446065i −0.998547 0.0538963i \(-0.982836\pi\)
0.919893 0.392169i \(-0.128275\pi\)
\(240\) 15.4178 + 9.99867i 0.995216 + 0.645411i
\(241\) 0.526166 + 0.441506i 0.0338934 + 0.0284399i 0.659577 0.751637i \(-0.270735\pi\)
−0.625684 + 0.780077i \(0.715180\pi\)
\(242\) 17.6119 1.13214
\(243\) 15.0445 4.08192i 0.965107 0.261855i
\(244\) 19.9429 1.27671
\(245\) −1.76604 1.48189i −0.112828 0.0946743i
\(246\) 32.2667 + 20.9254i 2.05725 + 1.33416i
\(247\) −0.476610 2.70299i −0.0303260 0.171987i
\(248\) 22.8109 + 8.30250i 1.44850 + 0.527209i
\(249\) −3.08955 10.0828i −0.195792 0.638970i
\(250\) 4.63186 26.2686i 0.292945 1.66137i
\(251\) −2.95629 + 5.12045i −0.186600 + 0.323200i −0.944114 0.329618i \(-0.893080\pi\)
0.757515 + 0.652818i \(0.226413\pi\)
\(252\) 5.01541 + 11.2268i 0.315941 + 0.707220i
\(253\) 8.79118 + 15.2268i 0.552697 + 0.957299i
\(254\) 41.2319 15.0072i 2.58712 0.941634i
\(255\) −8.05032 + 18.9986i −0.504131 + 1.18974i
\(256\) −24.9318 + 20.9202i −1.55824 + 1.30751i
\(257\) 4.67780 3.92514i 0.291793 0.244843i −0.485126 0.874444i \(-0.661226\pi\)
0.776919 + 0.629601i \(0.216782\pi\)
\(258\) 16.2539 + 21.5414i 1.01192 + 1.34111i
\(259\) −6.99522 + 2.54605i −0.434662 + 0.158204i
\(260\) 8.73213 + 15.1245i 0.541544 + 0.937981i
\(261\) −8.07617 + 28.2992i −0.499903 + 1.75168i
\(262\) −1.51165 + 2.61826i −0.0933901 + 0.161756i
\(263\) 0.140115 0.794630i 0.00863984 0.0489990i −0.980183 0.198094i \(-0.936525\pi\)
0.988823 + 0.149095i \(0.0476360\pi\)
\(264\) −26.0519 + 27.9725i −1.60339 + 1.72159i
\(265\) 22.1100 + 8.04739i 1.35821 + 0.494347i
\(266\) −0.636834 3.61167i −0.0390468 0.221445i
\(267\) 15.6121 7.96715i 0.955447 0.487582i
\(268\) 1.49489 + 1.25437i 0.0913152 + 0.0766226i
\(269\) −21.1169 −1.28752 −0.643761 0.765226i \(-0.722627\pi\)
−0.643761 + 0.765226i \(0.722627\pi\)
\(270\) 27.5985 10.6538i 1.67959 0.648372i
\(271\) −19.9724 −1.21324 −0.606620 0.794992i \(-0.707475\pi\)
−0.606620 + 0.794992i \(0.707475\pi\)
\(272\) 18.2167 + 15.2857i 1.10455 + 0.926829i
\(273\) −0.165529 + 3.19694i −0.0100183 + 0.193488i
\(274\) 6.29556 + 35.7039i 0.380329 + 2.15695i
\(275\) −1.26003 0.458614i −0.0759827 0.0276555i
\(276\) −28.5663 6.57612i −1.71949 0.395836i
\(277\) 1.28890 7.30974i 0.0774427 0.439199i −0.921290 0.388876i \(-0.872864\pi\)
0.998733 0.0503238i \(-0.0160253\pi\)
\(278\) 16.4616 28.5123i 0.987299 1.71005i
\(279\) 11.6389 7.87187i 0.696804 0.471277i
\(280\) 5.97432 + 10.3478i 0.357034 + 0.618401i
\(281\) −31.1604 + 11.3415i −1.85887 + 0.676574i −0.879042 + 0.476744i \(0.841817\pi\)
−0.979831 + 0.199830i \(0.935961\pi\)
\(282\) 41.3435 5.10274i 2.46197 0.303864i
\(283\) 3.21218 2.69534i 0.190944 0.160221i −0.542304 0.840183i \(-0.682448\pi\)
0.733248 + 0.679961i \(0.238003\pi\)
\(284\) −28.3795 + 23.8132i −1.68401 + 1.41305i
\(285\) −5.88522 + 0.726371i −0.348610 + 0.0430265i
\(286\) −18.2633 + 6.64728i −1.07993 + 0.393062i
\(287\) 4.49548 + 7.78641i 0.265360 + 0.459617i
\(288\) −0.212846 2.98980i −0.0125421 0.176176i
\(289\) −4.85094 + 8.40207i −0.285349 + 0.494239i
\(290\) −9.69823 + 55.0014i −0.569500 + 3.22979i
\(291\) −6.00167 1.38162i −0.351824 0.0809920i
\(292\) −42.7317 15.5531i −2.50069 0.910175i
\(293\) −0.0506096 0.287021i −0.00295665 0.0167680i 0.983294 0.182026i \(-0.0582655\pi\)
−0.986250 + 0.165258i \(0.947154\pi\)
\(294\) −0.221175 + 4.27167i −0.0128992 + 0.249129i
\(295\) −15.6573 13.1380i −0.911603 0.764926i
\(296\) 38.5821 2.24254
\(297\) 4.26278 + 21.7113i 0.247352 + 1.25982i
\(298\) −2.18841 −0.126771
\(299\) −5.84613 4.90549i −0.338090 0.283692i
\(300\) 1.99125 1.01617i 0.114965 0.0586687i
\(301\) 1.09553 + 6.21304i 0.0631451 + 0.358114i
\(302\) −6.57697 2.39382i −0.378462 0.137749i
\(303\) −3.74291 + 4.01884i −0.215024 + 0.230876i
\(304\) −1.18673 + 6.73030i −0.0680638 + 0.386009i
\(305\) 5.60865 9.71446i 0.321150 0.556248i
\(306\) 37.1346 9.30832i 2.12284 0.532121i
\(307\) 9.34124 + 16.1795i 0.533133 + 0.923413i 0.999251 + 0.0386907i \(0.0123187\pi\)
−0.466118 + 0.884722i \(0.654348\pi\)
\(308\) −16.4003 + 5.96921i −0.934492 + 0.340127i
\(309\) −9.92695 13.1563i −0.564724 0.748435i
\(310\) 20.4271 17.1404i 1.16018 0.973508i
\(311\) 9.19094 7.71211i 0.521170 0.437314i −0.343869 0.939018i \(-0.611738\pi\)
0.865040 + 0.501704i \(0.167293\pi\)
\(312\) 6.47323 15.2767i 0.366475 0.864872i
\(313\) 28.3852 10.3314i 1.60442 0.583963i 0.624098 0.781346i \(-0.285467\pi\)
0.980326 + 0.197384i \(0.0632445\pi\)
\(314\) 0.874322 + 1.51437i 0.0493408 + 0.0854608i
\(315\) 6.87924 + 0.714290i 0.387601 + 0.0402457i
\(316\) −8.78268 + 15.2120i −0.494064 + 0.855744i
\(317\) −0.146198 + 0.829129i −0.00821129 + 0.0465685i −0.988638 0.150315i \(-0.951971\pi\)
0.980427 + 0.196884i \(0.0630822\pi\)
\(318\) −12.7898 41.7396i −0.717215 2.34064i
\(319\) −39.2518 14.2865i −2.19768 0.799890i
\(320\) 2.69686 + 15.2947i 0.150759 + 0.854997i
\(321\) −5.04181 3.26968i −0.281406 0.182496i
\(322\) −7.81145 6.55459i −0.435315 0.365273i
\(323\) −7.67376 −0.426979
\(324\) −31.3322 19.4691i −1.74068 1.08162i
\(325\) 0.582013 0.0322843
\(326\) −28.5455 23.9525i −1.58099 1.32661i
\(327\) −7.60761 4.93364i −0.420702 0.272831i
\(328\) −8.09185 45.8911i −0.446797 2.53391i
\(329\) 9.15159 + 3.33091i 0.504543 + 0.183639i
\(330\) 12.3019 + 40.1475i 0.677199 + 2.21004i
\(331\) 0.771267 4.37407i 0.0423927 0.240421i −0.956247 0.292560i \(-0.905493\pi\)
0.998640 + 0.0521392i \(0.0166040\pi\)
\(332\) −12.4774 + 21.6115i −0.684786 + 1.18608i
\(333\) 13.1040 18.0838i 0.718092 0.990988i
\(334\) 9.48991 + 16.4370i 0.519264 + 0.899392i
\(335\) 1.03144 0.375413i 0.0563535 0.0205110i
\(336\) 3.10986 7.33919i 0.169657 0.400386i
\(337\) −0.678252 + 0.569121i −0.0369467 + 0.0310020i −0.661074 0.750321i \(-0.729899\pi\)
0.624127 + 0.781323i \(0.285455\pi\)
\(338\) −18.1310 + 15.2137i −0.986197 + 0.827518i
\(339\) 16.7685 + 22.2234i 0.910737 + 1.20701i
\(340\) 45.8830 16.7000i 2.48835 0.905686i
\(341\) 9.97182 + 17.2717i 0.540004 + 0.935315i
\(342\) 7.65268 + 7.90466i 0.413810 + 0.427435i
\(343\) −0.500000 + 0.866025i −0.0269975 + 0.0467610i
\(344\) 5.67798 32.2014i 0.306136 1.73618i
\(345\) −11.2372 + 12.0656i −0.604990 + 0.649591i
\(346\) −28.6667 10.4338i −1.54113 0.560925i
\(347\) −0.272248 1.54399i −0.0146150 0.0828859i 0.976628 0.214937i \(-0.0689547\pi\)
−0.991243 + 0.132051i \(0.957844\pi\)
\(348\) 62.0305 31.6553i 3.32518 1.69690i
\(349\) −9.94045 8.34103i −0.532100 0.446485i 0.336726 0.941603i \(-0.390680\pi\)
−0.868826 + 0.495118i \(0.835125\pi\)
\(350\) 0.777672 0.0415683
\(351\) −4.96178 8.22261i −0.264840 0.438890i
\(352\) 4.25439 0.226760
\(353\) −10.9864 9.21870i −0.584748 0.490662i 0.301755 0.953386i \(-0.402428\pi\)
−0.886502 + 0.462724i \(0.846872\pi\)
\(354\) −1.96088 + 37.8716i −0.104220 + 2.01285i
\(355\) 3.61844 + 20.5212i 0.192047 + 1.08915i
\(356\) −38.9756 14.1860i −2.06570 0.751854i
\(357\) 8.72205 + 2.00787i 0.461620 + 0.106268i
\(358\) −0.445976 + 2.52925i −0.0235705 + 0.133675i
\(359\) 6.74707 11.6863i 0.356096 0.616777i −0.631209 0.775613i \(-0.717441\pi\)
0.987305 + 0.158836i \(0.0507741\pi\)
\(360\) −32.2379 15.6733i −1.69908 0.826055i
\(361\) 8.39733 + 14.5446i 0.441965 + 0.765506i
\(362\) 20.9292 7.61762i 1.10002 0.400373i
\(363\) −12.2593 + 1.51308i −0.643445 + 0.0794159i
\(364\) 5.80305 4.86934i 0.304163 0.255223i
\(365\) −19.5938 + 16.4412i −1.02559 + 0.860571i
\(366\) −20.6556 + 2.54937i −1.07968 + 0.133258i
\(367\) 8.27396 3.01148i 0.431897 0.157198i −0.116918 0.993142i \(-0.537301\pi\)
0.548815 + 0.835944i \(0.315079\pi\)
\(368\) 9.50112 + 16.4564i 0.495280 + 0.857851i
\(369\) −24.2579 11.7936i −1.26282 0.613952i
\(370\) 21.1910 36.7039i 1.10167 1.90815i
\(371\) 1.77225 10.0509i 0.0920108 0.521819i
\(372\) −32.4027 7.45929i −1.68000 0.386746i
\(373\) 31.3184 + 11.3990i 1.62161 + 0.590217i 0.983687 0.179887i \(-0.0575731\pi\)
0.637919 + 0.770103i \(0.279795\pi\)
\(374\) 9.43579 + 53.5130i 0.487913 + 2.76709i
\(375\) −0.967351 + 18.6830i −0.0499538 + 0.964783i
\(376\) −38.6666 32.4451i −1.99408 1.67323i
\(377\) 18.1306 0.933771
\(378\) −6.62981 10.9868i −0.341000 0.565102i
\(379\) 9.41165 0.483444 0.241722 0.970346i \(-0.422288\pi\)
0.241722 + 0.970346i \(0.422288\pi\)
\(380\) 10.7494 + 9.01985i 0.551435 + 0.462709i
\(381\) −27.4114 + 13.9885i −1.40433 + 0.716653i
\(382\) 1.87610 + 10.6399i 0.0959897 + 0.544385i
\(383\) −9.67096 3.51994i −0.494163 0.179861i 0.0829039 0.996558i \(-0.473581\pi\)
−0.577067 + 0.816697i \(0.695803\pi\)
\(384\) 21.9974 23.6191i 1.12255 1.20531i
\(385\) −1.70465 + 9.66757i −0.0868772 + 0.492705i
\(386\) 16.9315 29.3262i 0.861790 1.49266i
\(387\) −13.1647 13.5981i −0.669198 0.691233i
\(388\) 7.28688 + 12.6213i 0.369935 + 0.640747i
\(389\) 0.920349 0.334980i 0.0466635 0.0169841i −0.318583 0.947895i \(-0.603207\pi\)
0.365246 + 0.930911i \(0.380985\pi\)
\(390\) −10.9776 14.5487i −0.555873 0.736704i
\(391\) −16.3450 + 13.7150i −0.826600 + 0.693600i
\(392\) 3.97031 3.33149i 0.200531 0.168266i
\(393\) 0.827289 1.95238i 0.0417312 0.0984847i
\(394\) 37.2516 13.5585i 1.87671 0.683066i
\(395\) 4.94001 + 8.55634i 0.248559 + 0.430516i
\(396\) 30.7222 42.3975i 1.54385 2.13055i
\(397\) 8.29004 14.3588i 0.416065 0.720646i −0.579474 0.814990i \(-0.696742\pi\)
0.995540 + 0.0943443i \(0.0300754\pi\)
\(398\) −0.742972 + 4.21360i −0.0372418 + 0.211209i
\(399\) 0.753573 + 2.45929i 0.0377259 + 0.123119i
\(400\) −1.36179 0.495650i −0.0680893 0.0247825i
\(401\) −3.92159 22.2404i −0.195835 1.11063i −0.911225 0.411909i \(-0.864862\pi\)
0.715390 0.698725i \(-0.246249\pi\)
\(402\) −1.70867 1.10810i −0.0852207 0.0552668i
\(403\) −6.63126 5.56429i −0.330326 0.277177i
\(404\) 12.9959 0.646568
\(405\) −18.2954 + 9.78696i −0.909107 + 0.486318i
\(406\) 24.2256 1.20230
\(407\) 24.2822 + 20.3752i 1.20362 + 1.00996i
\(408\) −38.9198 25.2401i −1.92682 1.24957i
\(409\) 2.19453 + 12.4458i 0.108512 + 0.615404i 0.989759 + 0.142748i \(0.0455937\pi\)
−0.881247 + 0.472656i \(0.843295\pi\)
\(410\) −48.1015 17.5075i −2.37557 0.864635i
\(411\) −7.44961 24.3119i −0.367462 1.19922i
\(412\) −6.77247 + 38.4086i −0.333656 + 1.89226i
\(413\) −4.43287 + 7.67796i −0.218127 + 0.377808i
\(414\) 30.4278 + 3.15940i 1.49545 + 0.155276i
\(415\) 7.01818 + 12.1559i 0.344509 + 0.596707i
\(416\) −1.73524 + 0.631577i −0.0850773 + 0.0309656i
\(417\) −9.00900 + 21.2610i −0.441173 + 1.04116i
\(418\) −11.9627 + 10.0379i −0.585113 + 0.490968i
\(419\) −5.44354 + 4.56767i −0.265934 + 0.223145i −0.765998 0.642843i \(-0.777755\pi\)
0.500063 + 0.865989i \(0.333310\pi\)
\(420\) −9.85781 13.0647i −0.481012 0.637490i
\(421\) 2.70353 0.984003i 0.131762 0.0479574i −0.275298 0.961359i \(-0.588776\pi\)
0.407059 + 0.913402i \(0.366554\pi\)
\(422\) −8.03399 13.9153i −0.391089 0.677385i
\(423\) −28.3400 + 7.10382i −1.37794 + 0.345400i
\(424\) −26.4482 + 45.8097i −1.28444 + 2.22471i
\(425\) 0.282565 1.60251i 0.0137064 0.0777330i
\(426\) 26.3495 28.2921i 1.27664 1.37076i
\(427\) −4.57221 1.66415i −0.221265 0.0805338i
\(428\) 2.46930 + 14.0041i 0.119358 + 0.676914i
\(429\) 12.1416 6.19607i 0.586202 0.299149i
\(430\) −27.5152 23.0880i −1.32690 1.11340i
\(431\) −2.08942 −0.100644 −0.0503218 0.998733i \(-0.516025\pi\)
−0.0503218 + 0.998733i \(0.516025\pi\)
\(432\) 4.60703 + 23.4647i 0.221656 + 1.12894i
\(433\) −21.1971 −1.01867 −0.509334 0.860569i \(-0.670108\pi\)
−0.509334 + 0.860569i \(0.670108\pi\)
\(434\) −8.86052 7.43486i −0.425319 0.356885i
\(435\) 2.02545 39.1185i 0.0971128 1.87559i
\(436\) 3.72594 + 21.1309i 0.178440 + 1.01199i
\(437\) −5.76212 2.09724i −0.275639 0.100325i
\(438\) 46.2471 + 10.6463i 2.20977 + 0.508702i
\(439\) −5.75682 + 32.6486i −0.274758 + 1.55823i 0.464971 + 0.885326i \(0.346065\pi\)
−0.739729 + 0.672905i \(0.765046\pi\)
\(440\) 25.4394 44.0623i 1.21278 2.10059i
\(441\) −0.213033 2.99243i −0.0101444 0.142497i
\(442\) −11.7928 20.4257i −0.560924 0.971549i
\(443\) 18.9401 6.89363i 0.899871 0.327526i 0.149670 0.988736i \(-0.452179\pi\)
0.750201 + 0.661210i \(0.229957\pi\)
\(444\) −52.4493 + 6.47345i −2.48914 + 0.307217i
\(445\) −17.8715 + 14.9960i −0.847192 + 0.710878i
\(446\) −46.4556 + 38.9809i −2.19974 + 1.84580i
\(447\) 1.52331 0.188011i 0.0720499 0.00889261i
\(448\) 6.33033 2.30405i 0.299080 0.108856i
\(449\) −9.86185 17.0812i −0.465410 0.806113i 0.533810 0.845604i \(-0.320760\pi\)
−0.999220 + 0.0394912i \(0.987426\pi\)
\(450\) −1.93251 + 1.30704i −0.0910996 + 0.0616143i
\(451\) 19.1423 33.1555i 0.901377 1.56123i
\(452\) 11.4400 64.8792i 0.538090 3.05166i
\(453\) 4.78375 + 1.10125i 0.224760 + 0.0517411i
\(454\) 48.8124 + 17.7663i 2.29088 + 0.833812i
\(455\) −0.739901 4.19619i −0.0346871 0.196720i
\(456\) 0.689328 13.3134i 0.0322807 0.623455i
\(457\) −5.28992 4.43877i −0.247452 0.207637i 0.510622 0.859805i \(-0.329415\pi\)
−0.758074 + 0.652168i \(0.773860\pi\)
\(458\) 42.9368 2.00631
\(459\) −25.0489 + 9.66964i −1.16918 + 0.451340i
\(460\) 39.0170 1.81918
\(461\) 10.3407 + 8.67688i 0.481615 + 0.404123i 0.851010 0.525150i \(-0.175991\pi\)
−0.369395 + 0.929272i \(0.620435\pi\)
\(462\) 16.2233 8.27904i 0.754776 0.385176i
\(463\) 5.03003 + 28.5267i 0.233766 + 1.32575i 0.845198 + 0.534453i \(0.179483\pi\)
−0.611432 + 0.791297i \(0.709406\pi\)
\(464\) −42.4216 15.4402i −1.96938 0.716794i
\(465\) −12.7463 + 13.6860i −0.591097 + 0.634673i
\(466\) 0.835083 4.73599i 0.0386845 0.219390i
\(467\) −16.4666 + 28.5210i −0.761984 + 1.31980i 0.179842 + 0.983695i \(0.442441\pi\)
−0.941826 + 0.336100i \(0.890892\pi\)
\(468\) −6.23666 + 21.8535i −0.288290 + 1.01018i
\(469\) −0.238056 0.412326i −0.0109924 0.0190394i
\(470\) −52.1030 + 18.9640i −2.40333 + 0.874742i
\(471\) −0.738700 0.979007i −0.0340375 0.0451102i
\(472\) 35.1998 29.5361i 1.62020 1.35951i
\(473\) 20.5790 17.2678i 0.946224 0.793976i
\(474\) 7.15193 16.8784i 0.328499 0.775251i
\(475\) 0.439441 0.159943i 0.0201629 0.00733870i
\(476\) −10.5898 18.3421i −0.485383 0.840708i
\(477\) 12.4886 + 27.9553i 0.571815 + 1.27998i
\(478\) 8.64639 14.9760i 0.395477 0.684986i
\(479\) −3.93413 + 22.3116i −0.179755 + 1.01944i 0.752756 + 0.658300i \(0.228724\pi\)
−0.932511 + 0.361142i \(0.882387\pi\)
\(480\) 1.16884 + 3.81452i 0.0533500 + 0.174108i
\(481\) −12.9288 4.70568i −0.589500 0.214561i
\(482\) 0.294550 + 1.67047i 0.0134164 + 0.0760880i
\(483\) 6.00051 + 3.89142i 0.273033 + 0.177066i
\(484\) 22.3918 + 18.7889i 1.01781 + 0.854042i
\(485\) 8.19733 0.372222
\(486\) 34.9407 + 16.1596i 1.58494 + 0.733013i
\(487\) −17.0293 −0.771672 −0.385836 0.922567i \(-0.626087\pi\)
−0.385836 + 0.922567i \(0.626087\pi\)
\(488\) 19.3181 + 16.2098i 0.874491 + 0.733785i
\(489\) 21.9278 + 14.2205i 0.991608 + 0.643072i
\(490\) −0.988637 5.60684i −0.0446621 0.253291i
\(491\) 21.8486 + 7.95225i 0.986015 + 0.358880i 0.784176 0.620539i \(-0.213086\pi\)
0.201839 + 0.979419i \(0.435308\pi\)
\(492\) 18.7000 + 61.0277i 0.843061 + 2.75134i
\(493\) 8.80231 49.9204i 0.396436 2.24830i
\(494\) 3.38908 5.87006i 0.152482 0.264106i
\(495\) −12.0123 26.8889i −0.539911 1.20857i
\(496\) 10.7771 + 18.6665i 0.483906 + 0.838151i
\(497\) 8.49355 3.09140i 0.380988 0.138668i
\(498\) 10.1606 23.9789i 0.455309 1.07452i
\(499\) 16.8669 14.1530i 0.755064 0.633574i −0.181773 0.983341i \(-0.558183\pi\)
0.936837 + 0.349766i \(0.113739\pi\)
\(500\) 33.9131 28.4565i 1.51664 1.27261i
\(501\) −8.01787 10.6262i −0.358212 0.474742i
\(502\) −13.7209 + 4.99400i −0.612394 + 0.222893i
\(503\) 0.888647 + 1.53918i 0.0396228 + 0.0686287i 0.885157 0.465293i \(-0.154051\pi\)
−0.845534 + 0.533922i \(0.820718\pi\)
\(504\) −4.26698 + 14.9517i −0.190066 + 0.666001i
\(505\) 3.65490 6.33047i 0.162641 0.281702i
\(506\) −7.53991 + 42.7610i −0.335190 + 1.90096i
\(507\) 11.3136 12.1476i 0.502454 0.539496i
\(508\) 68.4323 + 24.9073i 3.03619 + 1.10508i
\(509\) 1.48161 + 8.40263i 0.0656712 + 0.372440i 0.999877 + 0.0157045i \(0.00499911\pi\)
−0.934205 + 0.356735i \(0.883890\pi\)
\(510\) −45.3879 + 23.1622i −2.00981 + 1.02564i
\(511\) 8.49908 + 7.13157i 0.375977 + 0.315482i
\(512\) −43.1052 −1.90500
\(513\) −6.00598 4.84481i −0.265171 0.213904i
\(514\) 15.0802 0.665158
\(515\) 16.8047 + 14.1008i 0.740505 + 0.621357i
\(516\) −2.31589 + 44.7279i −0.101951 + 1.96904i
\(517\) −7.20110 40.8395i −0.316704 1.79612i
\(518\) −17.2751 6.28762i −0.759024 0.276262i
\(519\) 20.8507 + 4.79995i 0.915243 + 0.210694i
\(520\) −3.83481 + 21.7483i −0.168168 + 0.953727i
\(521\) 11.7032 20.2705i 0.512726 0.888067i −0.487165 0.873310i \(-0.661969\pi\)
0.999891 0.0147572i \(-0.00469754\pi\)
\(522\) −60.2007 + 40.7161i −2.63491 + 1.78210i
\(523\) −8.71910 15.1019i −0.381260 0.660361i 0.609983 0.792415i \(-0.291176\pi\)
−0.991243 + 0.132053i \(0.957843\pi\)
\(524\) −4.71515 + 1.71617i −0.205982 + 0.0749714i
\(525\) −0.541321 + 0.0668115i −0.0236252 + 0.00291589i
\(526\) 1.52646 1.28085i 0.0665570 0.0558479i
\(527\) −18.5401 + 15.5570i −0.807618 + 0.677672i
\(528\) −33.6854 + 4.15755i −1.46597 + 0.180934i
\(529\) 5.59140 2.03510i 0.243104 0.0884828i
\(530\) 29.0531 + 50.3214i 1.26199 + 2.18582i
\(531\) −1.88870 26.5301i −0.0819625 1.15131i
\(532\) 3.04337 5.27126i 0.131947 0.228538i
\(533\) −2.88557 + 16.3649i −0.124988 + 0.708843i
\(534\) 42.1819 + 9.71053i 1.82539 + 0.420216i
\(535\) 7.51606 + 2.73562i 0.324948 + 0.118271i
\(536\) 0.428500 + 2.43014i 0.0185084 + 0.104966i
\(537\) 0.0931408 1.79888i 0.00401932 0.0776272i
\(538\) −39.9488 33.5210i −1.72232 1.44519i
\(539\) 4.25812 0.183410
\(540\) 46.4545 + 15.8976i 1.99908 + 0.684124i
\(541\) 32.8652 1.41298 0.706492 0.707721i \(-0.250277\pi\)
0.706492 + 0.707721i \(0.250277\pi\)
\(542\) −37.7837 31.7043i −1.62295 1.36181i
\(543\) −13.9140 + 7.10054i −0.597105 + 0.304713i
\(544\) 0.896520 + 5.08442i 0.0384380 + 0.217993i
\(545\) 11.3410 + 4.12780i 0.485796 + 0.176815i
\(546\) −5.38797 + 5.78518i −0.230584 + 0.247583i
\(547\) 4.41613 25.0451i 0.188820 1.07085i −0.732128 0.681167i \(-0.761473\pi\)
0.920948 0.389685i \(-0.127416\pi\)
\(548\) −30.0858 + 52.1102i −1.28520 + 2.22604i
\(549\) 14.1589 3.54913i 0.604287 0.151473i
\(550\) −1.65571 2.86777i −0.0705997 0.122282i
\(551\) 13.6892 4.98247i 0.583180 0.212260i
\(552\) −22.3263 29.5892i −0.950268 1.25940i
\(553\) 3.28295 2.75472i 0.139605 0.117143i
\(554\) 14.0418 11.7825i 0.596579 0.500589i
\(555\) −11.5973 + 27.3694i −0.492279 + 1.16177i
\(556\) 51.3470 18.6888i 2.17760 0.792580i
\(557\) −16.9050 29.2804i −0.716289 1.24065i −0.962460 0.271423i \(-0.912506\pi\)
0.246171 0.969226i \(-0.420827\pi\)
\(558\) 34.5142 + 3.58371i 1.46110 + 0.151710i
\(559\) −5.83013 + 10.0981i −0.246588 + 0.427103i
\(560\) −1.84231 + 10.4483i −0.0778520 + 0.441521i
\(561\) −11.1655 36.4387i −0.471407 1.53844i
\(562\) −76.9523 28.0084i −3.24604 1.18146i
\(563\) −2.03505 11.5413i −0.0857671 0.486410i −0.997188 0.0749351i \(-0.976125\pi\)
0.911421 0.411474i \(-0.134986\pi\)
\(564\) 58.0079 + 37.6189i 2.44257 + 1.58404i
\(565\) −28.3863 23.8189i −1.19422 1.00207i
\(566\) 10.3554 0.435268
\(567\) 5.55878 + 7.07814i 0.233447 + 0.297254i
\(568\) −46.8462 −1.96562
\(569\) −28.8259 24.1878i −1.20844 1.01400i −0.999348 0.0361092i \(-0.988504\pi\)
−0.209096 0.977895i \(-0.567052\pi\)
\(570\) −12.2866 7.96806i −0.514631 0.333745i
\(571\) 1.37286 + 7.78588i 0.0574525 + 0.325829i 0.999965 0.00834107i \(-0.00265508\pi\)
−0.942513 + 0.334170i \(0.891544\pi\)
\(572\) −30.3114 11.0325i −1.26738 0.461290i
\(573\) −2.22001 7.24504i −0.0927424 0.302666i
\(574\) −3.85563 + 21.8664i −0.160931 + 0.912685i
\(575\) 0.650139 1.12607i 0.0271127 0.0469605i
\(576\) −11.8584 + 16.3650i −0.494102 + 0.681874i
\(577\) 15.5650 + 26.9593i 0.647978 + 1.12233i 0.983605 + 0.180336i \(0.0577184\pi\)
−0.335627 + 0.941995i \(0.608948\pi\)
\(578\) −22.5144 + 8.19457i −0.936475 + 0.340849i
\(579\) −9.26618 + 21.8680i −0.385089 + 0.908802i
\(580\) −71.0075 + 59.5824i −2.94843 + 2.47402i
\(581\) 4.66403 3.91358i 0.193496 0.162363i
\(582\) −9.16072 12.1408i −0.379724 0.503252i
\(583\) −40.8375 + 14.8636i −1.69132 + 0.615589i
\(584\) −28.7514 49.7989i −1.18974 2.06069i
\(585\) 8.89121 + 9.18397i 0.367606 + 0.379710i
\(586\) 0.359875 0.623322i 0.0148663 0.0257492i
\(587\) 7.01467 39.7822i 0.289526 1.64199i −0.399128 0.916895i \(-0.630687\pi\)
0.688654 0.725090i \(-0.258202\pi\)
\(588\) −4.83836 + 5.19505i −0.199530 + 0.214240i
\(589\) −6.53596 2.37890i −0.269310 0.0980207i
\(590\) −8.76500 49.7088i −0.360849 2.04648i
\(591\) −24.7652 + 12.6381i −1.01871 + 0.519863i
\(592\) 26.2431 + 22.0206i 1.07858 + 0.905040i
\(593\) −27.0218 −1.10965 −0.554826 0.831966i \(-0.687215\pi\)
−0.554826 + 0.831966i \(0.687215\pi\)
\(594\) −26.4003 + 47.8400i −1.08322 + 1.96290i
\(595\) −11.9129 −0.488382
\(596\) −2.78234 2.33466i −0.113969 0.0956315i
\(597\) 0.155168 2.99683i 0.00635059 0.122652i
\(598\) −3.27268 18.5603i −0.133830 0.758987i
\(599\) 1.90984 + 0.695125i 0.0780340 + 0.0284020i 0.380742 0.924681i \(-0.375669\pi\)
−0.302708 + 0.953083i \(0.597891\pi\)
\(600\) 2.75484 + 0.634180i 0.112466 + 0.0258903i
\(601\) −3.25966 + 18.4865i −0.132964 + 0.754078i 0.843291 + 0.537457i \(0.180615\pi\)
−0.976256 + 0.216622i \(0.930496\pi\)
\(602\) −7.79007 + 13.4928i −0.317500 + 0.549925i
\(603\) 1.28457 + 0.624527i 0.0523117 + 0.0254327i
\(604\) −5.80815 10.0600i −0.236330 0.409336i
\(605\) 15.4497 5.62324i 0.628121 0.228617i
\(606\) −13.4603 + 1.66131i −0.546787 + 0.0674861i
\(607\) 15.1305 12.6960i 0.614128 0.515315i −0.281824 0.959466i \(-0.590939\pi\)
0.895952 + 0.444152i \(0.146495\pi\)
\(608\) −1.13661 + 0.953726i −0.0460955 + 0.0386787i
\(609\) −16.8629 + 2.08128i −0.683321 + 0.0843375i
\(610\) 26.0311 9.47455i 1.05397 0.383613i
\(611\) 8.99987 + 15.5882i 0.364096 + 0.630632i
\(612\) 57.1433 + 27.7817i 2.30988 + 1.12301i
\(613\) 13.3707 23.1587i 0.540036 0.935370i −0.458865 0.888506i \(-0.651744\pi\)
0.998901 0.0468643i \(-0.0149228\pi\)
\(614\) −8.01168 + 45.4365i −0.323325 + 1.83367i
\(615\) 34.9866 + 8.05412i 1.41080 + 0.324773i
\(616\) −20.7384 7.54815i −0.835573 0.304124i
\(617\) 2.62537 + 14.8892i 0.105693 + 0.599416i 0.990941 + 0.134297i \(0.0428775\pi\)
−0.885248 + 0.465119i \(0.846011\pi\)
\(618\) 2.10459 40.6470i 0.0846588 1.63506i
\(619\) 14.6021 + 12.2526i 0.586907 + 0.492473i 0.887207 0.461372i \(-0.152643\pi\)
−0.300300 + 0.953845i \(0.597087\pi\)
\(620\) 44.2569 1.77740
\(621\) −21.4516 + 0.414924i −0.860823 + 0.0166503i
\(622\) 29.6295 1.18804
\(623\) 7.75200 + 6.50470i 0.310578 + 0.260605i
\(624\) 13.1221 6.69645i 0.525305 0.268072i
\(625\) −4.59740 26.0731i −0.183896 1.04293i
\(626\) 70.0987 + 25.5139i 2.80171 + 1.01974i
\(627\) 7.46459 8.01490i 0.298107 0.320084i
\(628\) −0.503964 + 2.85812i −0.0201104 + 0.114051i
\(629\) −19.2334 + 33.3132i −0.766886 + 1.32829i
\(630\) 11.8802 + 12.2714i 0.473319 + 0.488904i
\(631\) 20.9950 + 36.3645i 0.835799 + 1.44765i 0.893378 + 0.449306i \(0.148329\pi\)
−0.0575785 + 0.998341i \(0.518338\pi\)
\(632\) −20.8721 + 7.59683i −0.830249 + 0.302186i
\(633\) 6.78779 + 8.99592i 0.269790 + 0.357556i
\(634\) −1.59274 + 1.33646i −0.0632556 + 0.0530778i
\(635\) 31.3784 26.3296i 1.24521 1.04486i
\(636\) 28.2681 66.7122i 1.12090 2.64531i
\(637\) −1.73677 + 0.632131i −0.0688132 + 0.0250459i
\(638\) −51.5778 89.3354i −2.04198 3.53682i
\(639\) −15.9107 + 21.9573i −0.629419 + 0.868617i
\(640\) −21.4802 + 37.2048i −0.849080 + 1.47065i
\(641\) 6.91815 39.2348i 0.273250 1.54968i −0.471215 0.882019i \(-0.656184\pi\)
0.744465 0.667662i \(-0.232705\pi\)
\(642\) −4.34775 14.1889i −0.171592 0.559992i
\(643\) 12.0097 + 4.37117i 0.473616 + 0.172382i 0.567790 0.823174i \(-0.307799\pi\)
−0.0941737 + 0.995556i \(0.530021\pi\)
\(644\) −2.93884 16.6670i −0.115807 0.656772i
\(645\) 21.1363 + 13.7072i 0.832242 + 0.539720i
\(646\) −14.5171 12.1813i −0.571169 0.479268i
\(647\) 20.4715 0.804816 0.402408 0.915460i \(-0.368173\pi\)
0.402408 + 0.915460i \(0.368173\pi\)
\(648\) −14.5259 44.3265i −0.570632 1.74131i
\(649\) 37.7514 1.48187
\(650\) 1.10105 + 0.923888i 0.0431866 + 0.0362379i
\(651\) 6.80637 + 4.41403i 0.266763 + 0.172999i
\(652\) −10.7395 60.9065i −0.420590 2.38528i
\(653\) 34.6720 + 12.6196i 1.35682 + 0.493843i 0.915070 0.403295i \(-0.132135\pi\)
0.441752 + 0.897137i \(0.354357\pi\)
\(654\) −6.56034 21.4097i −0.256530 0.837187i
\(655\) −0.490095 + 2.77947i −0.0191496 + 0.108603i
\(656\) 20.6882 35.8330i 0.807738 1.39904i
\(657\) −33.1063 3.43752i −1.29160 0.134110i
\(658\) 12.0254 + 20.8286i 0.468799 + 0.811983i
\(659\) 30.1670 10.9799i 1.17514 0.427715i 0.320656 0.947196i \(-0.396097\pi\)
0.854482 + 0.519481i \(0.173875\pi\)
\(660\) −27.1899 + 64.1675i −1.05837 + 2.49772i
\(661\) −22.3881 + 18.7859i −0.870798 + 0.730686i −0.964266 0.264936i \(-0.914649\pi\)
0.0934683 + 0.995622i \(0.470205\pi\)
\(662\) 8.40248 7.05052i 0.326572 0.274026i
\(663\) 9.96351 + 13.2047i 0.386951 + 0.512829i
\(664\) −29.6527 + 10.7927i −1.15075 + 0.418838i
\(665\) −1.71181 2.96494i −0.0663810 0.114975i
\(666\) 53.4962 13.4096i 2.07294 0.519611i
\(667\) 20.2528 35.0789i 0.784191 1.35826i
\(668\) −5.47004 + 31.0221i −0.211642 + 1.20028i
\(669\) 28.9879 31.1249i 1.12074 1.20336i
\(670\) 2.54719 + 0.927103i 0.0984067 + 0.0358171i
\(671\) 3.59773 + 20.4037i 0.138889 + 0.787678i
\(672\) 1.54142 0.786614i 0.0594616 0.0303443i
\(673\) −28.0872 23.5680i −1.08268 0.908479i −0.0865426 0.996248i \(-0.527582\pi\)
−0.996141 + 0.0877689i \(0.972026\pi\)
\(674\) −2.18653 −0.0842221
\(675\) 1.23289 1.07583i 0.0474541 0.0414086i
\(676\) −39.2822 −1.51086
\(677\) −3.50587 2.94177i −0.134741 0.113061i 0.572926 0.819607i \(-0.305808\pi\)
−0.707668 + 0.706545i \(0.750253\pi\)
\(678\) −3.55503 + 68.6602i −0.136530 + 2.63688i
\(679\) −0.617440 3.50168i −0.0236952 0.134382i
\(680\) 58.0197 + 21.1174i 2.22495 + 0.809817i
\(681\) −35.5036 8.17315i −1.36050 0.313196i
\(682\) −8.55251 + 48.5037i −0.327493 + 1.85730i
\(683\) −8.88306 + 15.3859i −0.339901 + 0.588726i −0.984414 0.175868i \(-0.943727\pi\)
0.644513 + 0.764594i \(0.277060\pi\)
\(684\) 1.29668 + 18.2141i 0.0495797 + 0.696433i
\(685\) 16.9224 + 29.3105i 0.646573 + 1.11990i
\(686\) −2.32062 + 0.844638i −0.0886018 + 0.0322484i
\(687\) −29.8875 + 3.68880i −1.14028 + 0.140736i
\(688\) 22.2409 18.6623i 0.847926 0.711495i
\(689\) 14.4499 12.1249i 0.550498 0.461922i
\(690\) −40.4114 + 4.98769i −1.53843 + 0.189878i
\(691\) −22.0512 + 8.02596i −0.838865 + 0.305322i −0.725492 0.688230i \(-0.758388\pi\)
−0.113373 + 0.993552i \(0.536166\pi\)
\(692\) −25.3157 43.8480i −0.962358 1.66685i
\(693\) −10.5814 + 7.15665i −0.401956 + 0.271859i
\(694\) 1.93590 3.35308i 0.0734858 0.127281i
\(695\) 5.33703 30.2678i 0.202445 1.14812i
\(696\) 85.8172 + 19.7556i 3.25289 + 0.748835i
\(697\) 43.6579 + 15.8902i 1.65366 + 0.601884i
\(698\) −5.56469 31.5589i −0.210627 1.19452i
\(699\) −0.174405 + 3.36837i −0.00659659 + 0.127403i
\(700\) 0.988731 + 0.829644i 0.0373705 + 0.0313576i
\(701\) 31.1815 1.17771 0.588855 0.808239i \(-0.299579\pi\)
0.588855 + 0.808239i \(0.299579\pi\)
\(702\) 3.66593 23.4318i 0.138361 0.884375i
\(703\) −11.0548 −0.416941
\(704\) −21.9742 18.4385i −0.828183 0.694928i
\(705\) 34.6386 17.6767i 1.30457 0.665743i
\(706\) −6.15023 34.8797i −0.231467 1.31271i
\(707\) −2.97950 1.08445i −0.112056 0.0407849i
\(708\) −42.8956 + 46.0580i −1.61212 + 1.73096i
\(709\) −6.38759 + 36.2258i −0.239891 + 1.36049i 0.592174 + 0.805810i \(0.298270\pi\)
−0.832065 + 0.554679i \(0.812841\pi\)
\(710\) −25.7300 + 44.5657i −0.965630 + 1.67252i
\(711\) −3.52825 + 12.3631i −0.132320 + 0.463654i
\(712\) −26.2241 45.4215i −0.982791 1.70224i
\(713\) −18.1732 + 6.61450i −0.680591 + 0.247715i
\(714\) 13.3130 + 17.6438i 0.498226 + 0.660304i
\(715\) −13.8987 + 11.6624i −0.519783 + 0.436150i
\(716\) −3.26530 + 2.73991i −0.122030 + 0.102395i
\(717\) −4.73195 + 11.1673i −0.176718 + 0.417051i
\(718\) 31.3148 11.3977i 1.16866 0.425357i
\(719\) 1.96034 + 3.39541i 0.0731084 + 0.126627i 0.900262 0.435348i \(-0.143375\pi\)
−0.827154 + 0.561976i \(0.810041\pi\)
\(720\) −12.9823 29.0604i −0.483823 1.08302i
\(721\) 4.75773 8.24063i 0.177187 0.306897i
\(722\) −7.20212 + 40.8453i −0.268035 + 1.52010i
\(723\) −0.348544 1.13748i −0.0129625 0.0423032i
\(724\) 34.7361 + 12.6429i 1.29096 + 0.469870i
\(725\) 0.536418 + 3.04218i 0.0199221 + 0.112984i
\(726\) −25.5938 16.5980i −0.949876 0.616008i
\(727\) 27.0901 + 22.7313i 1.00472 + 0.843059i 0.987631 0.156795i \(-0.0501164\pi\)
0.0170869 + 0.999854i \(0.494561\pi\)
\(728\) 9.57914 0.355027
\(729\) −25.7098 8.24651i −0.952216 0.305426i
\(730\) −63.1661 −2.33788
\(731\) 24.9734 + 20.9552i 0.923674 + 0.775054i
\(732\) −28.9812 18.7947i −1.07118 0.694673i
\(733\) −1.46966 8.33484i −0.0542830 0.307854i 0.945562 0.325441i \(-0.105513\pi\)
−0.999845 + 0.0175867i \(0.994402\pi\)
\(734\) 20.4330 + 7.43701i 0.754196 + 0.274505i
\(735\) 1.16987 + 3.81787i 0.0431511 + 0.140824i
\(736\) −0.716388 + 4.06284i −0.0264064 + 0.149758i
\(737\) −1.01367 + 1.75573i −0.0373391 + 0.0646732i
\(738\) −27.1697 60.8181i −1.00013 2.23875i
\(739\) −23.4339 40.5887i −0.862030 1.49308i −0.869966 0.493111i \(-0.835860\pi\)
0.00793649 0.999969i \(-0.497474\pi\)
\(740\) 66.0991 24.0581i 2.42985 0.884394i
\(741\) −1.85476 + 4.37719i −0.0681363 + 0.160800i
\(742\) 19.3076 16.2010i 0.708805 0.594758i
\(743\) 5.94333 4.98705i 0.218040 0.182957i −0.527225 0.849726i \(-0.676768\pi\)
0.745265 + 0.666769i \(0.232323\pi\)
\(744\) −25.3246 33.5630i −0.928446 1.23048i
\(745\) −1.91974 + 0.698729i −0.0703339 + 0.0255995i
\(746\) 41.1531 + 71.2793i 1.50672 + 2.60972i
\(747\) −5.01253 + 17.5641i −0.183399 + 0.642637i
\(748\) −45.0927 + 78.1028i −1.64875 + 2.85572i
\(749\) 0.602459 3.41671i 0.0220134 0.124844i
\(750\) −31.4873 + 33.8086i −1.14976 + 1.23452i
\(751\) −36.7987 13.3936i −1.34280 0.488740i −0.432109 0.901821i \(-0.642230\pi\)
−0.910694 + 0.413081i \(0.864453\pi\)
\(752\) −7.78264 44.1375i −0.283804 1.60953i
\(753\) 9.12179 4.65501i 0.332416 0.169638i
\(754\) 34.2992 + 28.7805i 1.24910 + 1.04812i
\(755\) −6.53384 −0.237791
\(756\) 3.29197 21.0416i 0.119728 0.765274i
\(757\) −25.8155 −0.938280 −0.469140 0.883124i \(-0.655436\pi\)
−0.469140 + 0.883124i \(0.655436\pi\)
\(758\) 17.8049 + 14.9401i 0.646702 + 0.542647i
\(759\) 1.57469 30.4128i 0.0571576 1.10391i
\(760\) 3.08124 + 17.4746i 0.111768 + 0.633870i
\(761\) 0.464634 + 0.169113i 0.0168430 + 0.00613034i 0.350428 0.936590i \(-0.386036\pi\)
−0.333585 + 0.942720i \(0.608258\pi\)
\(762\) −74.0619 17.0495i −2.68298 0.617638i
\(763\) 0.909053 5.15550i 0.0329099 0.186642i
\(764\) −8.96570 + 15.5291i −0.324368 + 0.561821i
\(765\) 29.6036 20.0221i 1.07032 0.723901i
\(766\) −12.7079 22.0107i −0.459154 0.795278i
\(767\) −15.3977 + 5.60431i −0.555980 + 0.202360i
\(768\) 55.9470