Properties

Label 648.2.bb.b.155.64
Level $648$
Weight $2$
Character 648.155
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 155.64
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.64

$q$-expansion

\(f(q)\) \(=\) \(q+(0.392266 + 1.35872i) q^{2} +(1.07702 + 1.35648i) q^{3} +(-1.69225 + 1.06596i) q^{4} +(0.219193 - 0.144165i) q^{5} +(-1.42060 + 1.99547i) q^{6} +(1.89423 + 1.78711i) q^{7} +(-2.11216 - 1.88116i) q^{8} +(-0.680059 + 2.92190i) q^{9} +O(q^{10})\) \(q+(0.392266 + 1.35872i) q^{2} +(1.07702 + 1.35648i) q^{3} +(-1.69225 + 1.06596i) q^{4} +(0.219193 - 0.144165i) q^{5} +(-1.42060 + 1.99547i) q^{6} +(1.89423 + 1.78711i) q^{7} +(-2.11216 - 1.88116i) q^{8} +(-0.680059 + 2.92190i) q^{9} +(0.281862 + 0.241271i) q^{10} +(1.21248 + 2.41424i) q^{11} +(-3.26854 - 1.14744i) q^{12} +(2.54356 - 1.09718i) q^{13} +(-1.68515 + 3.27476i) q^{14} +(0.431631 + 0.142061i) q^{15} +(1.72745 - 3.60776i) q^{16} +(2.50193 + 2.98168i) q^{17} +(-4.23682 + 0.222152i) q^{18} +(-3.00835 - 2.52431i) q^{19} +(-0.217255 + 0.477615i) q^{20} +(-0.384057 + 4.49424i) q^{21} +(-2.80467 + 2.59445i) q^{22} +(-6.25199 - 6.62672i) q^{23} +(0.276916 - 4.89115i) q^{24} +(-1.95314 + 4.52788i) q^{25} +(2.48852 + 3.02560i) q^{26} +(-4.69593 + 2.22446i) q^{27} +(-5.11052 - 1.00507i) q^{28} +(-0.0984331 + 0.0115052i) q^{29} +(-0.0237070 + 0.642193i) q^{30} +(-0.666983 - 2.81422i) q^{31} +(5.57956 + 0.931922i) q^{32} +(-1.96900 + 4.24488i) q^{33} +(-3.06985 + 4.56904i) q^{34} +(0.672841 + 0.118640i) q^{35} +(-1.96381 - 5.66952i) q^{36} +(7.49128 - 1.32092i) q^{37} +(2.24976 - 5.07772i) q^{38} +(4.22776 + 2.26859i) q^{39} +(-0.734168 - 0.107837i) q^{40} +(-5.60350 - 4.17165i) q^{41} +(-6.25707 + 1.24111i) q^{42} +(-0.165527 + 2.84199i) q^{43} +(-4.62531 - 2.79305i) q^{44} +(0.272173 + 0.738500i) q^{45} +(6.55143 - 11.0942i) q^{46} +(5.56214 + 1.31825i) q^{47} +(6.75434 - 1.54238i) q^{48} +(-0.0126823 - 0.217746i) q^{49} +(-6.91828 - 0.877636i) q^{50} +(-1.34996 + 6.60513i) q^{51} +(-3.13479 + 4.56805i) q^{52} +(0.163912 + 0.283904i) q^{53} +(-4.86448 - 5.50789i) q^{54} +(0.613815 + 0.354386i) q^{55} +(-0.639067 - 7.33803i) q^{56} +(0.184112 - 6.79949i) q^{57} +(-0.0542444 - 0.129230i) q^{58} +(-4.24481 + 8.45211i) q^{59} +(-0.881862 + 0.219700i) q^{60} +(7.91328 - 2.36908i) q^{61} +(3.56211 - 2.01017i) q^{62} +(-6.50996 + 4.31941i) q^{63} +(0.922452 + 7.94664i) q^{64} +(0.399353 - 0.607187i) q^{65} +(-6.53999 - 1.01020i) q^{66} +(14.7551 + 1.72462i) q^{67} +(-7.41225 - 2.37880i) q^{68} +(2.25548 - 15.6178i) q^{69} +(0.102734 + 0.960743i) q^{70} +(-13.5514 - 4.93229i) q^{71} +(6.93297 - 4.89223i) q^{72} +(9.95339 - 3.62274i) q^{73} +(4.73334 + 9.66042i) q^{74} +(-8.24553 + 2.22723i) q^{75} +(7.78171 + 1.06498i) q^{76} +(-2.01781 + 6.73996i) q^{77} +(-1.42397 + 6.63425i) q^{78} +(4.64778 - 3.46014i) q^{79} +(-0.141469 - 1.03983i) q^{80} +(-8.07504 - 3.97414i) q^{81} +(3.47005 - 9.25001i) q^{82} +(8.44511 - 6.28715i) q^{83} +(-4.14076 - 8.01478i) q^{84} +(0.978258 + 0.292871i) q^{85} +(-3.92640 + 0.889911i) q^{86} +(-0.121621 - 0.121131i) q^{87} +(1.98063 - 7.38013i) q^{88} +(2.43048 + 6.67770i) q^{89} +(-0.896653 + 0.659496i) q^{90} +(6.77888 + 2.46731i) q^{91} +(17.6438 + 4.54971i) q^{92} +(3.09908 - 3.93572i) q^{93} +(0.390703 + 8.07452i) q^{94} +(-1.02333 - 0.119610i) q^{95} +(4.74517 + 8.57225i) q^{96} +(-3.34293 - 2.19868i) q^{97} +(0.290882 - 0.102646i) q^{98} +(-7.87873 + 1.90091i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.392266 + 1.35872i 0.277374 + 0.960762i
\(3\) 1.07702 + 1.35648i 0.621817 + 0.783162i
\(4\) −1.69225 + 1.06596i −0.846127 + 0.532981i
\(5\) 0.219193 0.144165i 0.0980259 0.0644726i −0.499550 0.866285i \(-0.666501\pi\)
0.597576 + 0.801813i \(0.296131\pi\)
\(6\) −1.42060 + 1.99547i −0.579957 + 0.814647i
\(7\) 1.89423 + 1.78711i 0.715952 + 0.675466i 0.955357 0.295454i \(-0.0954709\pi\)
−0.239405 + 0.970920i \(0.576952\pi\)
\(8\) −2.11216 1.88116i −0.746762 0.665092i
\(9\) −0.680059 + 2.92190i −0.226686 + 0.973968i
\(10\) 0.281862 + 0.241271i 0.0891327 + 0.0762965i
\(11\) 1.21248 + 2.41424i 0.365576 + 0.727921i 0.998945 0.0459290i \(-0.0146248\pi\)
−0.633369 + 0.773850i \(0.718328\pi\)
\(12\) −3.26854 1.14744i −0.943547 0.331238i
\(13\) 2.54356 1.09718i 0.705456 0.304304i −0.0129618 0.999916i \(-0.504126\pi\)
0.718418 + 0.695612i \(0.244867\pi\)
\(14\) −1.68515 + 3.27476i −0.450375 + 0.875216i
\(15\) 0.431631 + 0.142061i 0.111447 + 0.0366800i
\(16\) 1.72745 3.60776i 0.431862 0.901940i
\(17\) 2.50193 + 2.98168i 0.606806 + 0.723164i 0.978742 0.205095i \(-0.0657503\pi\)
−0.371936 + 0.928258i \(0.621306\pi\)
\(18\) −4.23682 + 0.222152i −0.998628 + 0.0523618i
\(19\) −3.00835 2.52431i −0.690163 0.579116i 0.228793 0.973475i \(-0.426522\pi\)
−0.918956 + 0.394359i \(0.870967\pi\)
\(20\) −0.217255 + 0.477615i −0.0485797 + 0.106798i
\(21\) −0.384057 + 4.49424i −0.0838081 + 0.980723i
\(22\) −2.80467 + 2.59445i −0.597957 + 0.553138i
\(23\) −6.25199 6.62672i −1.30363 1.38177i −0.879307 0.476255i \(-0.841994\pi\)
−0.424322 0.905511i \(-0.639488\pi\)
\(24\) 0.276916 4.89115i 0.0565252 0.998401i
\(25\) −1.95314 + 4.52788i −0.390627 + 0.905576i
\(26\) 2.48852 + 3.02560i 0.488039 + 0.593369i
\(27\) −4.69593 + 2.22446i −0.903732 + 0.428098i
\(28\) −5.11052 1.00507i −0.965797 0.189941i
\(29\) −0.0984331 + 0.0115052i −0.0182786 + 0.00213646i −0.125227 0.992128i \(-0.539966\pi\)
0.106949 + 0.994265i \(0.465892\pi\)
\(30\) −0.0237070 + 0.642193i −0.00432828 + 0.117248i
\(31\) −0.666983 2.81422i −0.119794 0.505449i −0.999549 0.0300230i \(-0.990442\pi\)
0.879756 0.475426i \(-0.157706\pi\)
\(32\) 5.57956 + 0.931922i 0.986337 + 0.164742i
\(33\) −1.96900 + 4.24488i −0.342759 + 0.738939i
\(34\) −3.06985 + 4.56904i −0.526476 + 0.783583i
\(35\) 0.672841 + 0.118640i 0.113731 + 0.0200538i
\(36\) −1.96381 5.66952i −0.327301 0.944920i
\(37\) 7.49128 1.32092i 1.23156 0.217157i 0.480264 0.877124i \(-0.340541\pi\)
0.751295 + 0.659967i \(0.229430\pi\)
\(38\) 2.24976 5.07772i 0.364959 0.823714i
\(39\) 4.22776 + 2.26859i 0.676984 + 0.363265i
\(40\) −0.734168 0.107837i −0.116082 0.0170505i
\(41\) −5.60350 4.17165i −0.875120 0.651503i 0.0629241 0.998018i \(-0.479957\pi\)
−0.938044 + 0.346515i \(0.887365\pi\)
\(42\) −6.25707 + 1.24111i −0.965487 + 0.191508i
\(43\) −0.165527 + 2.84199i −0.0252426 + 0.433399i 0.961884 + 0.273458i \(0.0881675\pi\)
−0.987127 + 0.159941i \(0.948870\pi\)
\(44\) −4.62531 2.79305i −0.697292 0.421069i
\(45\) 0.272173 + 0.738500i 0.0405731 + 0.110089i
\(46\) 6.55143 11.0942i 0.965955 1.63574i
\(47\) 5.56214 + 1.31825i 0.811322 + 0.192287i 0.615280 0.788309i \(-0.289043\pi\)
0.196042 + 0.980595i \(0.437191\pi\)
\(48\) 6.75434 1.54238i 0.974905 0.222623i
\(49\) −0.0126823 0.217746i −0.00181175 0.0311066i
\(50\) −6.91828 0.877636i −0.978393 0.124117i
\(51\) −1.34996 + 6.60513i −0.189032 + 0.924903i
\(52\) −3.13479 + 4.56805i −0.434717 + 0.633475i
\(53\) 0.163912 + 0.283904i 0.0225151 + 0.0389973i 0.877063 0.480375i \(-0.159499\pi\)
−0.854548 + 0.519372i \(0.826166\pi\)
\(54\) −4.86448 5.50789i −0.661972 0.749529i
\(55\) 0.613815 + 0.354386i 0.0827669 + 0.0477855i
\(56\) −0.639067 7.33803i −0.0853990 0.980585i
\(57\) 0.184112 6.79949i 0.0243862 0.900614i
\(58\) −0.0542444 0.129230i −0.00712263 0.0169688i
\(59\) −4.24481 + 8.45211i −0.552627 + 1.10037i 0.427870 + 0.903840i \(0.359264\pi\)
−0.980498 + 0.196531i \(0.937032\pi\)
\(60\) −0.881862 + 0.219700i −0.113848 + 0.0283631i
\(61\) 7.91328 2.36908i 1.01319 0.303330i 0.263175 0.964748i \(-0.415230\pi\)
0.750017 + 0.661418i \(0.230045\pi\)
\(62\) 3.56211 2.01017i 0.452389 0.255292i
\(63\) −6.50996 + 4.31941i −0.820178 + 0.544195i
\(64\) 0.922452 + 7.94664i 0.115306 + 0.993330i
\(65\) 0.399353 0.607187i 0.0495337 0.0753123i
\(66\) −6.53999 1.01020i −0.805017 0.124347i
\(67\) 14.7551 + 1.72462i 1.80262 + 0.210696i 0.950088 0.311983i \(-0.100993\pi\)
0.852530 + 0.522679i \(0.175067\pi\)
\(68\) −7.41225 2.37880i −0.898868 0.288472i
\(69\) 2.25548 15.6178i 0.271528 1.88016i
\(70\) 0.102734 + 0.960743i 0.0122791 + 0.114831i
\(71\) −13.5514 4.93229i −1.60825 0.585355i −0.627157 0.778893i \(-0.715782\pi\)
−0.981093 + 0.193538i \(0.938004\pi\)
\(72\) 6.93297 4.89223i 0.817059 0.576555i
\(73\) 9.95339 3.62274i 1.16496 0.424009i 0.314091 0.949393i \(-0.398300\pi\)
0.850866 + 0.525383i \(0.176078\pi\)
\(74\) 4.73334 + 9.66042i 0.550239 + 1.12300i
\(75\) −8.24553 + 2.22723i −0.952112 + 0.257178i
\(76\) 7.78171 + 1.06498i 0.892624 + 0.122162i
\(77\) −2.01781 + 6.73996i −0.229951 + 0.768090i
\(78\) −1.42397 + 6.63425i −0.161233 + 0.751181i
\(79\) 4.64778 3.46014i 0.522916 0.389297i −0.303086 0.952963i \(-0.598017\pi\)
0.826003 + 0.563666i \(0.190610\pi\)
\(80\) −0.141469 1.03983i −0.0158168 0.116257i
\(81\) −8.07504 3.97414i −0.897226 0.441571i
\(82\) 3.47005 9.25001i 0.383203 1.02149i
\(83\) 8.44511 6.28715i 0.926971 0.690104i −0.0238925 0.999715i \(-0.507606\pi\)
0.950864 + 0.309610i \(0.100199\pi\)
\(84\) −4.14076 8.01478i −0.451794 0.874484i
\(85\) 0.978258 + 0.292871i 0.106107 + 0.0317663i
\(86\) −3.92640 + 0.889911i −0.423395 + 0.0959616i
\(87\) −0.121621 0.121131i −0.0130391 0.0129866i
\(88\) 1.98063 7.38013i 0.211136 0.786725i
\(89\) 2.43048 + 6.67770i 0.257631 + 0.707835i 0.999312 + 0.0370825i \(0.0118064\pi\)
−0.741681 + 0.670752i \(0.765971\pi\)
\(90\) −0.896653 + 0.659496i −0.0945155 + 0.0695170i
\(91\) 6.77888 + 2.46731i 0.710619 + 0.258644i
\(92\) 17.6438 + 4.54971i 1.83949 + 0.474340i
\(93\) 3.09908 3.93572i 0.321359 0.408115i
\(94\) 0.390703 + 8.07452i 0.0402979 + 0.832823i
\(95\) −1.02333 0.119610i −0.104991 0.0122717i
\(96\) 4.74517 + 8.57225i 0.484301 + 0.874901i
\(97\) −3.34293 2.19868i −0.339423 0.223242i 0.368341 0.929691i \(-0.379926\pi\)
−0.707765 + 0.706448i \(0.750296\pi\)
\(98\) 0.290882 0.102646i 0.0293835 0.0103688i
\(99\) −7.87873 + 1.90091i −0.791843 + 0.191049i
\(100\) −1.52135 9.74430i −0.152135 0.974430i
\(101\) 1.25723 + 4.19943i 0.125099 + 0.417859i 0.997478 0.0709700i \(-0.0226095\pi\)
−0.872380 + 0.488829i \(0.837424\pi\)
\(102\) −9.50408 + 0.756753i −0.941045 + 0.0749298i
\(103\) −5.16124 + 10.2769i −0.508552 + 1.01261i 0.482089 + 0.876122i \(0.339878\pi\)
−0.990642 + 0.136489i \(0.956418\pi\)
\(104\) −7.43638 2.46742i −0.729198 0.241950i
\(105\) 0.563730 + 1.04047i 0.0550144 + 0.101540i
\(106\) −0.321450 + 0.334078i −0.0312220 + 0.0324485i
\(107\) −5.74721 3.31815i −0.555603 0.320778i 0.195775 0.980649i \(-0.437278\pi\)
−0.751379 + 0.659871i \(0.770611\pi\)
\(108\) 5.57552 8.77004i 0.536505 0.843897i
\(109\) 6.37583 3.68109i 0.610694 0.352584i −0.162543 0.986701i \(-0.551970\pi\)
0.773237 + 0.634117i \(0.218636\pi\)
\(110\) −0.240734 + 0.973019i −0.0229531 + 0.0927737i
\(111\) 9.86005 + 8.73910i 0.935874 + 0.829479i
\(112\) 9.71966 3.74678i 0.918422 0.354037i
\(113\) 14.1583 0.824626i 1.33190 0.0775743i 0.622632 0.782514i \(-0.286063\pi\)
0.709267 + 0.704940i \(0.249026\pi\)
\(114\) 9.31084 2.41705i 0.872040 0.226378i
\(115\) −2.32573 0.551208i −0.216876 0.0514004i
\(116\) 0.154310 0.124396i 0.0143273 0.0115498i
\(117\) 1.47609 + 8.17818i 0.136465 + 0.756073i
\(118\) −13.1492 2.45204i −1.21048 0.225729i
\(119\) −0.589377 + 10.1192i −0.0540281 + 0.927627i
\(120\) −0.644435 1.11202i −0.0588286 0.101513i
\(121\) 2.21029 2.96893i 0.200935 0.269903i
\(122\) 6.32304 + 9.82265i 0.572461 + 0.889301i
\(123\) −0.376328 12.0940i −0.0339324 1.09048i
\(124\) 4.12856 + 4.05140i 0.370756 + 0.363827i
\(125\) 0.452435 + 2.56589i 0.0404670 + 0.229500i
\(126\) −8.42253 7.15087i −0.750338 0.637051i
\(127\) −16.1262 2.84349i −1.43097 0.252319i −0.596164 0.802863i \(-0.703309\pi\)
−0.834806 + 0.550544i \(0.814420\pi\)
\(128\) −10.4354 + 4.37056i −0.922371 + 0.386306i
\(129\) −4.03337 + 2.83634i −0.355118 + 0.249726i
\(130\) 0.981651 + 0.304431i 0.0860965 + 0.0267004i
\(131\) 2.47856 + 10.4579i 0.216553 + 0.913708i 0.967404 + 0.253237i \(0.0814952\pi\)
−0.750852 + 0.660471i \(0.770357\pi\)
\(132\) −1.19283 9.28230i −0.103823 0.807920i
\(133\) −1.18729 10.1579i −0.102951 0.880800i
\(134\) 3.44463 + 20.7245i 0.297571 + 1.79033i
\(135\) −0.708623 + 1.16458i −0.0609886 + 0.100231i
\(136\) 0.324553 11.0043i 0.0278302 0.943613i
\(137\) −10.4693 4.51603i −0.894455 0.385830i −0.101304 0.994856i \(-0.532301\pi\)
−0.793151 + 0.609025i \(0.791561\pi\)
\(138\) 22.1050 3.06175i 1.88170 0.260634i
\(139\) −0.338682 0.358982i −0.0287266 0.0304484i 0.712851 0.701316i \(-0.247404\pi\)
−0.741578 + 0.670867i \(0.765922\pi\)
\(140\) −1.26508 + 0.516454i −0.106919 + 0.0436483i
\(141\) 4.20236 + 8.96470i 0.353902 + 0.754964i
\(142\) 1.38587 20.3473i 0.116300 1.70751i
\(143\) 5.73287 + 4.81045i 0.479407 + 0.402270i
\(144\) 9.36675 + 7.50093i 0.780563 + 0.625077i
\(145\) −0.0199172 + 0.0167125i −0.00165403 + 0.00138790i
\(146\) 8.82668 + 12.1028i 0.730501 + 1.00164i
\(147\) 0.281708 0.251720i 0.0232349 0.0207615i
\(148\) −11.2691 + 10.2207i −0.926315 + 0.840140i
\(149\) −0.212021 0.491519i −0.0173694 0.0402668i 0.909311 0.416118i \(-0.136610\pi\)
−0.926680 + 0.375851i \(0.877350\pi\)
\(150\) −6.26063 10.3297i −0.511178 0.843418i
\(151\) 6.09313 + 12.1324i 0.495852 + 0.987322i 0.992827 + 0.119558i \(0.0381476\pi\)
−0.496975 + 0.867765i \(0.665556\pi\)
\(152\) 1.60549 + 10.9909i 0.130223 + 0.891483i
\(153\) −10.4136 + 5.28267i −0.841893 + 0.427078i
\(154\) −9.94926 0.0977868i −0.801734 0.00787988i
\(155\) −0.551911 0.520701i −0.0443305 0.0418237i
\(156\) −9.57268 + 0.667608i −0.766428 + 0.0534514i
\(157\) 0.570136 + 0.866849i 0.0455018 + 0.0691821i 0.857522 0.514447i \(-0.172003\pi\)
−0.812021 + 0.583629i \(0.801632\pi\)
\(158\) 6.52454 + 4.95775i 0.519065 + 0.394417i
\(159\) −0.208573 + 0.528114i −0.0165409 + 0.0418822i
\(160\) 1.35735 0.600109i 0.107308 0.0474427i
\(161\) 23.7255i 1.86983i
\(162\) 2.23218 12.5307i 0.175377 0.984501i
\(163\) 20.7405 1.62452 0.812262 0.583292i \(-0.198236\pi\)
0.812262 + 0.583292i \(0.198236\pi\)
\(164\) 13.9294 + 1.08638i 1.08770 + 0.0848317i
\(165\) 0.180374 + 1.21431i 0.0140421 + 0.0945337i
\(166\) 11.8552 + 9.00832i 0.920144 + 0.699181i
\(167\) −1.14653 + 0.754086i −0.0887214 + 0.0583530i −0.593095 0.805133i \(-0.702094\pi\)
0.504373 + 0.863486i \(0.331724\pi\)
\(168\) 9.26558 8.77008i 0.714855 0.676626i
\(169\) −3.65527 + 3.87436i −0.281175 + 0.298028i
\(170\) −0.0141931 + 1.44406i −0.00108856 + 0.110755i
\(171\) 9.42164 7.07343i 0.720491 0.540919i
\(172\) −2.74934 4.98581i −0.209635 0.380165i
\(173\) 2.33076 1.17055i 0.177204 0.0889953i −0.357986 0.933727i \(-0.616536\pi\)
0.535190 + 0.844732i \(0.320240\pi\)
\(174\) 0.116876 0.212765i 0.00886032 0.0161296i
\(175\) −11.7915 + 5.08637i −0.891356 + 0.384493i
\(176\) 10.8045 0.203848i 0.814419 0.0153656i
\(177\) −16.0368 + 3.34510i −1.20540 + 0.251433i
\(178\) −8.11975 + 5.92179i −0.608601 + 0.443857i
\(179\) −6.00151 7.15232i −0.448574 0.534589i 0.493611 0.869683i \(-0.335677\pi\)
−0.942185 + 0.335093i \(0.891232\pi\)
\(180\) −1.24780 0.959604i −0.0930055 0.0715247i
\(181\) 14.9916 17.8663i 1.11432 1.32799i 0.175146 0.984543i \(-0.443960\pi\)
0.939171 0.343449i \(-0.111595\pi\)
\(182\) −0.693264 + 10.1785i −0.0513881 + 0.754477i
\(183\) 11.7364 + 8.18264i 0.867577 + 0.604878i
\(184\) 0.739267 + 25.7577i 0.0544995 + 1.89888i
\(185\) 1.45160 1.36952i 0.106724 0.100689i
\(186\) 6.56321 + 2.66693i 0.481238 + 0.195549i
\(187\) −4.16496 + 9.65547i −0.304572 + 0.706078i
\(188\) −10.8178 + 3.69822i −0.788967 + 0.269720i
\(189\) −12.8705 4.17852i −0.936194 0.303943i
\(190\) −0.238900 1.43733i −0.0173316 0.104275i
\(191\) −23.1054 + 2.70063i −1.67185 + 0.195411i −0.898623 0.438722i \(-0.855431\pi\)
−0.773224 + 0.634133i \(0.781357\pi\)
\(192\) −9.78594 + 9.80997i −0.706239 + 0.707973i
\(193\) 12.2156 2.89516i 0.879300 0.208398i 0.233916 0.972257i \(-0.424846\pi\)
0.645383 + 0.763859i \(0.276698\pi\)
\(194\) 1.67608 5.40459i 0.120335 0.388027i
\(195\) 1.25375 0.112239i 0.0897826 0.00803758i
\(196\) 0.253571 + 0.354963i 0.0181122 + 0.0253545i
\(197\) 1.87256 10.6198i 0.133415 0.756631i −0.842536 0.538640i \(-0.818938\pi\)
0.975951 0.217992i \(-0.0699505\pi\)
\(198\) −5.67338 9.95935i −0.403189 0.707780i
\(199\) 3.61043 0.636617i 0.255937 0.0451286i −0.0442075 0.999022i \(-0.514076\pi\)
0.300144 + 0.953894i \(0.402965\pi\)
\(200\) 12.6430 5.88945i 0.893997 0.416447i
\(201\) 13.5521 + 21.8723i 0.955890 + 1.54276i
\(202\) −5.21269 + 3.35552i −0.366764 + 0.236093i
\(203\) −0.207016 0.154118i −0.0145297 0.0108169i
\(204\) −4.75635 12.6166i −0.333011 0.883336i
\(205\) −1.82965 0.106565i −0.127789 0.00744283i
\(206\) −15.9880 2.98142i −1.11394 0.207726i
\(207\) 23.6144 13.7611i 1.64131 0.956465i
\(208\) 0.435492 11.0719i 0.0301959 0.767696i
\(209\) 2.44673 10.3235i 0.169244 0.714095i
\(210\) −1.19258 + 1.17409i −0.0822957 + 0.0810202i
\(211\) −0.767225 13.1727i −0.0528179 0.906849i −0.915805 0.401623i \(-0.868446\pi\)
0.862987 0.505226i \(-0.168591\pi\)
\(212\) −0.580013 0.305714i −0.0398354 0.0209965i
\(213\) −7.90453 23.6943i −0.541609 1.62350i
\(214\) 2.25401 9.11046i 0.154081 0.622778i
\(215\) 0.373434 + 0.646806i 0.0254680 + 0.0441118i
\(216\) 14.1031 + 4.13539i 0.959597 + 0.281378i
\(217\) 3.76592 6.52276i 0.255647 0.442794i
\(218\) 7.50260 + 7.21902i 0.508141 + 0.488934i
\(219\) 15.6342 + 9.59979i 1.05646 + 0.648694i
\(220\) −1.41649 + 0.0545920i −0.0955000 + 0.00368059i
\(221\) 9.63524 + 4.83900i 0.648137 + 0.325506i
\(222\) −8.00625 + 16.8251i −0.537344 + 1.12923i
\(223\) −13.8003 + 4.13153i −0.924136 + 0.276668i −0.713304 0.700854i \(-0.752802\pi\)
−0.210831 + 0.977522i \(0.567617\pi\)
\(224\) 8.90353 + 11.7366i 0.594892 + 0.784184i
\(225\) −11.9018 8.78611i −0.793452 0.585740i
\(226\) 6.67426 + 18.9137i 0.443965 + 1.25812i
\(227\) 14.3719 21.8514i 0.953898 1.45033i 0.0620091 0.998076i \(-0.480249\pi\)
0.891889 0.452255i \(-0.149380\pi\)
\(228\) 6.93643 + 11.7027i 0.459376 + 0.775031i
\(229\) 0.267969 2.29262i 0.0177079 0.151501i −0.981492 0.191505i \(-0.938663\pi\)
0.999199 + 0.0400045i \(0.0127372\pi\)
\(230\) −0.163367 3.37624i −0.0107721 0.222623i
\(231\) −11.3158 + 4.52195i −0.744527 + 0.297523i
\(232\) 0.229550 + 0.160868i 0.0150707 + 0.0105615i
\(233\) −3.32370 + 9.13179i −0.217743 + 0.598243i −0.999685 0.0251080i \(-0.992007\pi\)
0.781942 + 0.623351i \(0.214229\pi\)
\(234\) −10.5329 + 5.21363i −0.688554 + 0.340825i
\(235\) 1.40923 0.512917i 0.0919278 0.0334590i
\(236\) −1.82633 18.8279i −0.118884 1.22559i
\(237\) 9.69936 + 2.57797i 0.630041 + 0.167457i
\(238\) −13.9804 + 3.16863i −0.906215 + 0.205392i
\(239\) −3.96866 + 13.2563i −0.256711 + 0.857476i 0.728340 + 0.685216i \(0.240292\pi\)
−0.985052 + 0.172260i \(0.944893\pi\)
\(240\) 1.25814 1.31182i 0.0812128 0.0846775i
\(241\) −14.0444 18.8649i −0.904681 1.21520i −0.976006 0.217744i \(-0.930130\pi\)
0.0713252 0.997453i \(-0.477277\pi\)
\(242\) 4.90098 + 1.83856i 0.315047 + 0.118187i
\(243\) −3.30615 15.2338i −0.212089 0.977250i
\(244\) −10.8659 + 12.4444i −0.695620 + 0.796668i
\(245\) −0.0341713 0.0459000i −0.00218312 0.00293244i
\(246\) 16.2847 5.25538i 1.03828 0.335071i
\(247\) −10.4215 3.12001i −0.663107 0.198521i
\(248\) −3.88524 + 7.19880i −0.246713 + 0.457124i
\(249\) 17.6239 + 4.68421i 1.11687 + 0.296850i
\(250\) −3.30885 + 1.62125i −0.209270 + 0.102537i
\(251\) −0.339725 0.933386i −0.0214432 0.0589148i 0.928509 0.371309i \(-0.121091\pi\)
−0.949952 + 0.312395i \(0.898869\pi\)
\(252\) 6.41218 14.2489i 0.403929 0.897598i
\(253\) 8.41810 23.1285i 0.529241 1.45408i
\(254\) −2.46226 23.0264i −0.154496 1.44481i
\(255\) 0.656330 + 1.64241i 0.0411010 + 0.102852i
\(256\) −10.0318 12.4644i −0.626990 0.779027i
\(257\) −1.05386 + 9.01637i −0.0657382 + 0.562426i 0.919728 + 0.392556i \(0.128409\pi\)
−0.985466 + 0.169870i \(0.945665\pi\)
\(258\) −5.43596 4.36763i −0.338428 0.271916i
\(259\) 16.5508 + 10.8857i 1.02842 + 0.676402i
\(260\) −0.0285687 + 1.45321i −0.00177175 + 0.0901243i
\(261\) 0.0333233 0.295436i 0.00206266 0.0182870i
\(262\) −13.2371 + 7.46994i −0.817790 + 0.461495i
\(263\) −6.17730 20.6336i −0.380908 1.27232i −0.906724 0.421724i \(-0.861425\pi\)
0.525816 0.850599i \(-0.323760\pi\)
\(264\) 12.1442 5.26186i 0.747421 0.323845i
\(265\) 0.0768575 + 0.0385993i 0.00472132 + 0.00237114i
\(266\) 13.3360 5.59779i 0.817684 0.343223i
\(267\) −6.44047 + 10.4889i −0.394150 + 0.641911i
\(268\) −26.8077 + 12.8098i −1.63754 + 0.782486i
\(269\) −11.9297 + 20.6629i −0.727369 + 1.25984i 0.230623 + 0.973043i \(0.425924\pi\)
−0.957991 + 0.286797i \(0.907410\pi\)
\(270\) −1.86030 0.505999i −0.113214 0.0307941i
\(271\) −7.85567 + 4.53547i −0.477198 + 0.275510i −0.719248 0.694753i \(-0.755514\pi\)
0.242050 + 0.970264i \(0.422180\pi\)
\(272\) 15.0791 3.87565i 0.914306 0.234996i
\(273\) 3.95413 + 11.8527i 0.239315 + 0.717360i
\(274\) 2.02926 15.9964i 0.122592 0.966377i
\(275\) −13.2995 + 0.774609i −0.801992 + 0.0467107i
\(276\) 12.8311 + 28.8335i 0.772342 + 1.73557i
\(277\) 1.00589 4.24419i 0.0604382 0.255009i −0.934436 0.356132i \(-0.884095\pi\)
0.994874 + 0.101123i \(0.0322435\pi\)
\(278\) 0.354903 0.600991i 0.0212857 0.0360450i
\(279\) 8.67648 0.0350213i 0.519447 0.00209667i
\(280\) −1.19797 1.51631i −0.0715922 0.0906169i
\(281\) 17.5895 + 1.02447i 1.04930 + 0.0611149i 0.574119 0.818772i \(-0.305345\pi\)
0.475184 + 0.879887i \(0.342382\pi\)
\(282\) −10.5321 + 9.22639i −0.627177 + 0.549423i
\(283\) −3.46956 + 4.66043i −0.206244 + 0.277034i −0.893195 0.449670i \(-0.851541\pi\)
0.686951 + 0.726704i \(0.258949\pi\)
\(284\) 28.1900 6.09854i 1.67277 0.361882i
\(285\) −0.939894 1.51694i −0.0556745 0.0898557i
\(286\) −4.28725 + 9.67636i −0.253511 + 0.572175i
\(287\) −3.15910 17.9162i −0.186476 1.05756i
\(288\) −6.51742 + 15.6692i −0.384043 + 0.923315i
\(289\) 0.321241 1.82185i 0.0188965 0.107167i
\(290\) −0.0305205 0.0205062i −0.00179222 0.00120416i
\(291\) −0.617942 6.90263i −0.0362244 0.404640i
\(292\) −12.9820 + 16.7405i −0.759712 + 0.979666i
\(293\) −8.75152 + 2.07415i −0.511269 + 0.121173i −0.478150 0.878278i \(-0.658692\pi\)
−0.0331196 + 0.999451i \(0.510544\pi\)
\(294\) 0.452522 + 0.284022i 0.0263916 + 0.0165645i
\(295\) 0.288070 + 2.46459i 0.0167721 + 0.143494i
\(296\) −18.3077 11.3023i −1.06411 0.656935i
\(297\) −11.0641 8.64000i −0.642004 0.501344i
\(298\) 0.584669 0.480883i 0.0338690 0.0278568i
\(299\) −23.1730 9.99586i −1.34013 0.578076i
\(300\) 11.5794 12.5585i 0.668537 0.725063i
\(301\) −5.39250 + 5.08756i −0.310819 + 0.293242i
\(302\) −14.0945 + 13.0380i −0.811045 + 0.750253i
\(303\) −4.34237 + 6.22826i −0.249463 + 0.357804i
\(304\) −14.3039 + 6.49280i −0.820383 + 0.372387i
\(305\) 1.39299 1.66011i 0.0797626 0.0950574i
\(306\) −11.2626 12.0770i −0.643840 0.690398i
\(307\) −23.1976 + 19.4651i −1.32396 + 1.11093i −0.338509 + 0.940963i \(0.609922\pi\)
−0.985449 + 0.169969i \(0.945633\pi\)
\(308\) −3.76989 13.5566i −0.214810 0.772461i
\(309\) −19.4991 + 4.06729i −1.10927 + 0.231380i
\(310\) 0.490992 0.954147i 0.0278865 0.0541919i
\(311\) −7.79849 18.0789i −0.442212 1.02516i −0.982934 0.183961i \(-0.941108\pi\)
0.540722 0.841202i \(-0.318151\pi\)
\(312\) −4.66213 12.7447i −0.263941 0.721529i
\(313\) −3.54505 + 1.78039i −0.200378 + 0.100634i −0.546159 0.837682i \(-0.683910\pi\)
0.345781 + 0.938315i \(0.387614\pi\)
\(314\) −0.954162 + 1.11469i −0.0538465 + 0.0629057i
\(315\) −0.804226 + 1.88529i −0.0453130 + 0.106224i
\(316\) −4.17684 + 10.8098i −0.234966 + 0.608099i
\(317\) −11.0481 + 11.7103i −0.620521 + 0.657713i −0.959048 0.283243i \(-0.908590\pi\)
0.338528 + 0.940956i \(0.390071\pi\)
\(318\) −0.799377 0.0762318i −0.0448268 0.00427487i
\(319\) −0.147124 0.223691i −0.00823737 0.0125243i
\(320\) 1.34782 + 1.60886i 0.0753456 + 0.0899379i
\(321\) −1.68886 11.3697i −0.0942628 0.634593i
\(322\) 32.2364 9.30673i 1.79647 0.518644i
\(323\) 15.2856i 0.850512i
\(324\) 17.9013 1.88244i 0.994516 0.104580i
\(325\) 13.6599i 0.757713i
\(326\) 8.13582 + 28.1806i 0.450601 + 1.56078i
\(327\) 11.8602 + 4.68407i 0.655871 + 0.259030i
\(328\) 3.98794 + 19.3523i 0.220197 + 1.06855i
\(329\) 8.18011 + 12.4373i 0.450984 + 0.685688i
\(330\) −1.57915 + 0.721410i −0.0869295 + 0.0397123i
\(331\) −15.8240 + 16.7724i −0.869764 + 0.921896i −0.997554 0.0699051i \(-0.977730\pi\)
0.127789 + 0.991801i \(0.459212\pi\)
\(332\) −7.58941 + 19.6416i −0.416523 + 1.07797i
\(333\) −1.23493 + 22.7871i −0.0676738 + 1.24873i
\(334\) −1.47434 1.26202i −0.0806723 0.0690545i
\(335\) 3.48283 1.74914i 0.190287 0.0955659i
\(336\) 15.5507 + 9.14915i 0.848359 + 0.499127i
\(337\) −1.25464 2.90859i −0.0683447 0.158441i 0.880620 0.473823i \(-0.157126\pi\)
−0.948965 + 0.315382i \(0.897867\pi\)
\(338\) −6.69802 3.44672i −0.364324 0.187477i
\(339\) 16.3673 + 18.3172i 0.888951 + 0.994856i
\(340\) −1.96765 + 0.547174i −0.106711 + 0.0296747i
\(341\) 5.98551 5.02244i 0.324133 0.271980i
\(342\) 13.3066 + 10.0267i 0.719540 + 0.542183i
\(343\) 12.0828 14.3997i 0.652408 0.777510i
\(344\) 5.69586 5.69135i 0.307100 0.306857i
\(345\) −1.75716 3.74846i −0.0946021 0.201810i
\(346\) 2.50473 + 2.70769i 0.134655 + 0.145566i
\(347\) −8.60442 + 8.11785i −0.461909 + 0.435789i −0.881685 0.471839i \(-0.843590\pi\)
0.419775 + 0.907628i \(0.362109\pi\)
\(348\) 0.334934 + 0.0753411i 0.0179544 + 0.00403871i
\(349\) −1.29495 0.558587i −0.0693171 0.0299005i 0.361139 0.932512i \(-0.382388\pi\)
−0.430456 + 0.902612i \(0.641647\pi\)
\(350\) −11.5364 14.0262i −0.616646 0.749732i
\(351\) −9.50373 + 10.8103i −0.507272 + 0.577013i
\(352\) 4.51521 + 14.6003i 0.240661 + 0.778201i
\(353\) −2.62244 22.4364i −0.139578 1.19417i −0.863522 0.504311i \(-0.831747\pi\)
0.723944 0.689859i \(-0.242327\pi\)
\(354\) −10.8358 20.4774i −0.575915 1.08836i
\(355\) −3.68142 + 0.872513i −0.195389 + 0.0463082i
\(356\) −11.2312 8.70956i −0.595251 0.461606i
\(357\) −14.3613 + 10.0991i −0.760078 + 0.534502i
\(358\) 7.36383 10.9600i 0.389190 0.579254i
\(359\) 3.60749 20.4591i 0.190396 1.07979i −0.728428 0.685122i \(-0.759749\pi\)
0.918824 0.394667i \(-0.129140\pi\)
\(360\) 0.814367 2.07183i 0.0429209 0.109195i
\(361\) −0.621260 3.52334i −0.0326979 0.185439i
\(362\) 30.1560 + 13.3611i 1.58497 + 0.702243i
\(363\) 6.40781 0.199392i 0.336323 0.0104654i
\(364\) −14.1016 + 3.05071i −0.739127 + 0.159901i
\(365\) 1.65944 2.22901i 0.0868589 0.116672i
\(366\) −6.51416 + 19.1562i −0.340501 + 1.00131i
\(367\) −2.96818 0.172877i −0.154938 0.00902409i −0.0194994 0.999810i \(-0.506207\pi\)
−0.135438 + 0.990786i \(0.543244\pi\)
\(368\) −34.7076 + 11.1083i −1.80926 + 0.579062i
\(369\) 15.9999 13.5359i 0.832921 0.704652i
\(370\) 2.43021 + 1.43511i 0.126341 + 0.0746079i
\(371\) −0.196882 + 0.830711i −0.0102216 + 0.0431283i
\(372\) −1.04909 + 9.96373i −0.0543930 + 0.516596i
\(373\) −33.0837 + 1.92690i −1.71301 + 0.0997713i −0.886374 0.462970i \(-0.846784\pi\)
−0.826633 + 0.562741i \(0.809747\pi\)
\(374\) −14.7529 1.87151i −0.762853 0.0967737i
\(375\) −2.99329 + 3.37723i −0.154573 + 0.174399i
\(376\) −9.26830 13.2477i −0.477976 0.683196i
\(377\) −0.237747 + 0.137263i −0.0122446 + 0.00706942i
\(378\) 0.628775 19.1266i 0.0323407 0.983766i
\(379\) 3.08983 5.35174i 0.158714 0.274901i −0.775691 0.631113i \(-0.782599\pi\)
0.934405 + 0.356212i \(0.115932\pi\)
\(380\) 1.85923 0.888417i 0.0953763 0.0455748i
\(381\) −13.5111 24.9373i −0.692195 1.27758i
\(382\) −12.7329 30.3344i −0.651470 1.55204i
\(383\) −11.2243 5.63707i −0.573536 0.288041i 0.138295 0.990391i \(-0.455838\pi\)
−0.711831 + 0.702350i \(0.752134\pi\)
\(384\) −17.1677 9.44825i −0.876086 0.482154i
\(385\) 0.529379 + 1.76825i 0.0269796 + 0.0901183i
\(386\) 8.72549 + 15.4620i 0.444116 + 0.786994i
\(387\) −8.19145 2.41637i −0.416395 0.122831i
\(388\) 8.00080 + 0.157288i 0.406179 + 0.00798508i
\(389\) 13.9544 + 9.17799i 0.707519 + 0.465342i 0.851579 0.524227i \(-0.175646\pi\)
−0.144060 + 0.989569i \(0.546016\pi\)
\(390\) 0.644304 + 1.65947i 0.0326256 + 0.0840303i
\(391\) 4.11674 35.2210i 0.208193 1.78120i
\(392\) −0.382829 + 0.483772i −0.0193358 + 0.0244342i
\(393\) −11.5164 + 14.6254i −0.580925 + 0.737755i
\(394\) 15.1639 1.62151i 0.763948 0.0816904i
\(395\) 0.519926 1.42849i 0.0261603 0.0718749i
\(396\) 11.3065 11.6153i 0.568174 0.583689i
\(397\) −12.4658 34.2496i −0.625643 1.71894i −0.692734 0.721193i \(-0.743594\pi\)
0.0670914 0.997747i \(-0.478628\pi\)
\(398\) 2.28124 + 4.65585i 0.114348 + 0.233377i
\(399\) 12.5002 12.5508i 0.625793 0.628324i
\(400\) 12.9616 + 14.8681i 0.648078 + 0.743406i
\(401\) −10.9747 3.28562i −0.548052 0.164076i 0.000793431 1.00000i \(-0.499747\pi\)
−0.548846 + 0.835924i \(0.684933\pi\)
\(402\) −24.4024 + 26.9933i −1.21708 + 1.34630i
\(403\) −4.78423 6.42633i −0.238319 0.320119i
\(404\) −6.60398 5.76635i −0.328560 0.286886i
\(405\) −2.34292 + 0.293039i −0.116421 + 0.0145612i
\(406\) 0.128198 0.341733i 0.00636235 0.0169599i
\(407\) 12.2720 + 16.4842i 0.608301 + 0.817090i
\(408\) 15.2767 11.4116i 0.756307 0.564959i
\(409\) −7.79729 + 26.0448i −0.385551 + 1.28783i 0.516531 + 0.856268i \(0.327223\pi\)
−0.902083 + 0.431563i \(0.857962\pi\)
\(410\) −0.572919 2.52779i −0.0282945 0.124839i
\(411\) −5.14978 19.0652i −0.254020 0.940419i
\(412\) −2.22063 22.8928i −0.109403 1.12785i
\(413\) −23.1455 + 8.42429i −1.13892 + 0.414532i
\(414\) 27.9607 + 26.6873i 1.37419 + 1.31161i
\(415\) 0.944717 2.59559i 0.0463743 0.127412i
\(416\) 15.2144 3.75141i 0.745949 0.183928i
\(417\) 0.122184 0.846044i 0.00598336 0.0414309i
\(418\) 14.9866 0.725159i 0.733019 0.0354687i
\(419\) 1.14405 9.78801i 0.0558907 0.478176i −0.936088 0.351767i \(-0.885581\pi\)
0.991978 0.126409i \(-0.0403450\pi\)
\(420\) −2.06308 1.15983i −0.100668 0.0565937i
\(421\) 2.77353 4.21695i 0.135174 0.205522i −0.761557 0.648097i \(-0.775565\pi\)
0.896731 + 0.442576i \(0.145935\pi\)
\(422\) 17.5971 6.20967i 0.856615 0.302282i
\(423\) −7.63439 + 15.3556i −0.371197 + 0.746613i
\(424\) 0.187861 0.907998i 0.00912335 0.0440963i
\(425\) −18.3873 + 5.50479i −0.891915 + 0.267022i
\(426\) 29.0933 20.0345i 1.40957 0.970676i
\(427\) 19.2234 + 9.65436i 0.930286 + 0.467207i
\(428\) 13.2628 0.511150i 0.641080 0.0247074i
\(429\) −0.350852 + 12.9575i −0.0169393 + 0.625592i
\(430\) −0.732344 + 0.761113i −0.0353168 + 0.0367041i
\(431\) 15.1884 26.3071i 0.731601 1.26717i −0.224597 0.974452i \(-0.572107\pi\)
0.956199 0.292719i \(-0.0945600\pi\)
\(432\) −0.0866635 + 20.7844i −0.00416960 + 0.999991i
\(433\) 1.18328 + 2.04951i 0.0568650 + 0.0984931i 0.893057 0.449944i \(-0.148556\pi\)
−0.836192 + 0.548438i \(0.815223\pi\)
\(434\) 10.3399 + 2.55818i 0.496329 + 0.122796i
\(435\) −0.0441213 0.00901751i −0.00211545 0.000432356i
\(436\) −6.86563 + 13.0257i −0.328804 + 0.623820i
\(437\) 2.08030 + 35.7174i 0.0995144 + 1.70860i
\(438\) −6.91070 + 25.0082i −0.330206 + 1.19494i
\(439\) −4.32773 + 18.2601i −0.206551 + 0.871509i 0.766744 + 0.641953i \(0.221875\pi\)
−0.973295 + 0.229556i \(0.926273\pi\)
\(440\) −0.629819 1.90321i −0.0300254 0.0907319i
\(441\) 0.644857 + 0.111024i 0.0307075 + 0.00528685i
\(442\) −2.79528 + 14.9898i −0.132958 + 0.712992i
\(443\) −27.6881 1.61265i −1.31550 0.0766193i −0.614011 0.789297i \(-0.710445\pi\)
−0.701491 + 0.712678i \(0.747482\pi\)
\(444\) −26.0013 4.27834i −1.23396 0.203041i
\(445\) 1.49544 + 1.11331i 0.0708905 + 0.0527760i
\(446\) −11.0270 17.1301i −0.522143 0.811134i
\(447\) 0.438384 0.816976i 0.0207348 0.0386417i
\(448\) −12.4542 + 16.7013i −0.588406 + 0.789062i
\(449\) 2.32644 0.410214i 0.109791 0.0193592i −0.118482 0.992956i \(-0.537803\pi\)
0.228274 + 0.973597i \(0.426692\pi\)
\(450\) 7.26921 19.6177i 0.342674 0.924788i
\(451\) 3.27726 18.5862i 0.154320 0.875192i
\(452\) −23.0804 + 16.4877i −1.08561 + 0.775515i
\(453\) −9.89493 + 21.3320i −0.464904 + 1.00227i
\(454\) 35.3277 + 10.9559i 1.65801 + 0.514184i
\(455\) 1.84158 0.436462i 0.0863346 0.0204617i
\(456\) −13.1798 + 14.0153i −0.617201 + 0.656325i
\(457\) −15.8820 + 1.85634i −0.742930 + 0.0868361i −0.479133 0.877742i \(-0.659049\pi\)
−0.263797 + 0.964578i \(0.584975\pi\)
\(458\) 3.22015 0.535222i 0.150468 0.0250093i
\(459\) −18.3815 8.43633i −0.857975 0.393774i
\(460\) 4.52330 1.54636i 0.210900 0.0720993i
\(461\) 6.19085 14.3520i 0.288337 0.668440i −0.711061 0.703130i \(-0.751785\pi\)
0.999398 + 0.0346901i \(0.0110444\pi\)
\(462\) −10.5829 13.6013i −0.492361 0.632788i
\(463\) −3.28015 + 3.09466i −0.152441 + 0.143821i −0.758684 0.651459i \(-0.774157\pi\)
0.606243 + 0.795280i \(0.292676\pi\)
\(464\) −0.128530 + 0.374998i −0.00596687 + 0.0174088i
\(465\) 0.111900 1.30946i 0.00518926 0.0607247i
\(466\) −13.7113 0.933892i −0.635166 0.0432617i
\(467\) −4.92692 + 5.87167i −0.227990 + 0.271708i −0.867897 0.496744i \(-0.834529\pi\)
0.639906 + 0.768453i \(0.278973\pi\)
\(468\) −11.2156 12.2661i −0.518439 0.567001i
\(469\) 24.8674 + 29.6358i 1.14827 + 1.36845i
\(470\) 1.24970 + 1.71355i 0.0576445 + 0.0790401i
\(471\) −0.561814 + 1.70699i −0.0258870 + 0.0786539i
\(472\) 24.8655 9.86704i 1.14453 0.454168i
\(473\) −7.06194 + 3.04622i −0.324708 + 0.140066i
\(474\) 0.301991 + 14.1900i 0.0138709 + 0.651767i
\(475\) 17.3055 8.69114i 0.794030 0.398777i
\(476\) −9.78933 17.7525i −0.448693 0.813686i
\(477\) −0.941012 + 0.285864i −0.0430860 + 0.0130888i
\(478\) −19.5683 0.192328i −0.895035 0.00879690i
\(479\) −8.20539 + 8.69720i −0.374914 + 0.397385i −0.887167 0.461449i \(-0.847330\pi\)
0.512253 + 0.858835i \(0.328811\pi\)
\(480\) 2.27592 + 1.19488i 0.103881 + 0.0545388i
\(481\) 17.6052 11.5791i 0.802729 0.527963i
\(482\) 20.1231 26.4826i 0.916580 1.20625i
\(483\) 32.1832 25.5529i 1.46438 1.16270i
\(484\) −0.575600 + 7.38027i −0.0261636 + 0.335467i
\(485\) −1.04972 −0.0476653
\(486\) 19.4017 10.4679i 0.880077 0.474831i
\(487\) 33.8979i 1.53606i 0.640412 + 0.768031i \(0.278763\pi\)
−0.640412 + 0.768031i \(0.721237\pi\)
\(488\) −21.1708 9.88229i −0.958355 0.447350i
\(489\) 22.3380 + 28.1341i 1.01016 + 1.27227i
\(490\) 0.0489611 0.0644343i 0.00221184 0.00291084i
\(491\) 14.8740 + 22.6147i 0.671252 + 1.02059i 0.997169 + 0.0751908i \(0.0239566\pi\)
−0.325917 + 0.945398i \(0.605673\pi\)
\(492\) 13.5286 + 20.0649i 0.609915 + 0.904597i
\(493\) −0.280577 0.264711i −0.0126366 0.0119220i
\(494\) 0.151201 15.3839i 0.00680286 0.692153i
\(495\) −1.45291 + 1.55251i −0.0653036 + 0.0697799i
\(496\) −11.3052 2.45511i −0.507619 0.110238i
\(497\) −16.8548 33.5607i −0.756042 1.50540i
\(498\) 0.548723 + 25.7835i 0.0245889 + 1.15539i
\(499\) −12.5482 29.0899i −0.561733 1.30224i −0.928293 0.371850i \(-0.878724\pi\)
0.366560 0.930395i \(-0.380536\pi\)
\(500\) −3.50077 3.85985i −0.156559 0.172618i
\(501\) −2.25774 0.743080i −0.100868 0.0331983i
\(502\) 1.13495 0.827728i 0.0506553 0.0369433i
\(503\) 32.5108 27.2798i 1.44958 1.21634i 0.516699 0.856167i \(-0.327161\pi\)
0.932884 0.360178i \(-0.117284\pi\)
\(504\) 21.8756 + 3.12300i 0.974417 + 0.139110i
\(505\) 0.880986 + 0.739235i 0.0392034 + 0.0328955i
\(506\) 34.7274 + 2.36532i 1.54382 + 0.105151i
\(507\) −9.19227 0.785529i −0.408243 0.0348866i
\(508\) 30.3207 12.3780i 1.34526 0.549186i
\(509\) 26.9167 + 28.5300i 1.19306 + 1.26457i 0.956096 + 0.293054i \(0.0946715\pi\)
0.236966 + 0.971518i \(0.423847\pi\)
\(510\) −1.97413 + 1.53603i −0.0874158 + 0.0680167i
\(511\) 25.3283 + 10.9255i 1.12046 + 0.483318i
\(512\) 13.0006 18.5199i 0.574549 0.818470i
\(513\) 19.7422 + 5.16201i 0.871641 + 0.227908i
\(514\) −12.6641 + 2.10491i −0.558591 + 0.0928437i
\(515\) 0.350262 + 2.99669i 0.0154344 + 0.132050i
\(516\) 3.80205 9.09923i 0.167376 0.400571i
\(517\) 3.56139 + 15.0267i 0.156630 + 0.660874i
\(518\) −8.29825 + 26.7581i −0.364604 + 1.17568i
\(519\) 4.09810 + 1.90091i 0.179887 + 0.0834409i
\(520\) −1.98572 + 0.531229i −0.0870794 + 0.0232959i
\(521\) 37.8276 + 6.67003i 1.65726 + 0.292219i 0.922467 0.386076i \(-0.126170\pi\)
0.734790 + 0.678295i \(0.237281\pi\)
\(522\) 0.414488 0.0706125i 0.0181416 0.00309063i
\(523\) 5.72680 + 32.4783i 0.250416 + 1.42018i 0.807571 + 0.589770i \(0.200782\pi\)
−0.557156 + 0.830408i \(0.688107\pi\)
\(524\) −15.3420 15.0553i −0.670220 0.657694i
\(525\) −19.5992 10.5168i −0.855381 0.458992i
\(526\) 25.6122 16.4871i 1.11675 0.718872i
\(527\) 6.72237 9.02971i 0.292831 0.393340i
\(528\) 11.9132 + 14.4365i 0.518454 + 0.628268i
\(529\) −3.48873 + 59.8992i −0.151684 + 2.60431i
\(530\) −0.0222971 + 0.119569i −0.000968525 + 0.00519376i
\(531\) −21.8095 18.1509i −0.946453 0.787680i
\(532\) 12.8371 + 15.9241i 0.556560 + 0.690398i
\(533\) −18.8299 4.46277i −0.815614 0.193304i
\(534\) −16.7779 4.63637i −0.726051 0.200635i
\(535\) −1.73811 + 0.101233i −0.0751449 + 0.00437669i
\(536\) −27.9208 31.3993i −1.20599 1.35625i
\(537\) 3.23822 15.8441i 0.139739 0.683723i
\(538\) −32.7548 8.10384i −1.41216 0.349381i
\(539\) 0.510314 0.294630i 0.0219808 0.0126906i
\(540\) −0.0422224 2.72612i −0.00181696 0.117314i
\(541\) 19.6105 + 11.3222i 0.843123 + 0.486777i 0.858325 0.513107i \(-0.171506\pi\)
−0.0152015 + 0.999884i \(0.504839\pi\)
\(542\) −9.24397 8.89456i −0.397062 0.382054i
\(543\) 40.3815 + 1.09342i 1.73293 + 0.0469231i
\(544\) 11.1810 + 18.9681i 0.479380 + 0.813249i
\(545\) 0.866850 1.72604i 0.0371318 0.0739355i
\(546\) −14.5535 + 10.0220i −0.622832 + 0.428902i
\(547\) −8.03570 26.8411i −0.343582 1.14764i −0.938911 0.344161i \(-0.888164\pi\)
0.595329 0.803482i \(-0.297022\pi\)
\(548\) 22.5307 3.51764i 0.962462 0.150266i
\(549\) 1.54072 + 24.7330i 0.0657565 + 1.05558i
\(550\) −6.26944 17.7665i −0.267330 0.757567i
\(551\) 0.325164 + 0.213864i 0.0138525 + 0.00911090i
\(552\) −34.1435 + 28.7443i −1.45325 + 1.22344i
\(553\) 14.9876 + 1.75180i 0.637339 + 0.0744943i
\(554\) 6.16126 0.298126i 0.261767 0.0126661i
\(555\) 3.42112 + 0.494070i 0.145219 + 0.0209721i
\(556\) 0.955796 + 0.246466i 0.0405348 + 0.0104525i
\(557\) −28.1709 10.2534i −1.19364 0.434449i −0.332640 0.943054i \(-0.607939\pi\)
−0.861000 + 0.508605i \(0.830162\pi\)
\(558\) 3.45107 + 11.7752i 0.146096 + 0.498483i
\(559\) 2.69716 + 7.41037i 0.114078 + 0.313425i
\(560\) 1.59032 2.22250i 0.0672034 0.0939179i
\(561\) −17.5832 + 4.74945i −0.742362 + 0.200522i
\(562\) 5.50780 + 24.3011i 0.232333 + 1.02508i
\(563\) 13.4479 + 4.02604i 0.566761 + 0.169677i 0.557349 0.830279i \(-0.311819\pi\)
0.00941250 + 0.999956i \(0.497004\pi\)
\(564\) −16.6675 10.6910i −0.701828 0.450172i
\(565\) 2.98451 2.22188i 0.125559 0.0934753i
\(566\) −7.69322 2.88604i −0.323370 0.121309i
\(567\) −8.19375 21.9589i −0.344105 0.922189i
\(568\) 19.3442 + 35.9101i 0.811665 + 1.50675i
\(569\) 13.6317 10.1485i 0.571472 0.425445i −0.272249 0.962227i \(-0.587767\pi\)
0.843721 + 0.536782i \(0.180360\pi\)
\(570\) 1.69241 1.87210i 0.0708873 0.0784136i
\(571\) −4.87439 + 16.2816i −0.203987 + 0.681364i 0.793372 + 0.608737i \(0.208323\pi\)
−0.997359 + 0.0726270i \(0.976862\pi\)
\(572\) −14.8292 2.02948i −0.620041 0.0848568i
\(573\) −28.5483 28.4333i −1.19262 1.18782i
\(574\) 23.1039 11.3203i 0.964338 0.472498i
\(575\) 42.2160 15.3654i 1.76053 0.640780i
\(576\) −23.8466 2.70887i −0.993610 0.112870i
\(577\) 13.9438 + 5.07514i 0.580489 + 0.211281i 0.615541 0.788105i \(-0.288937\pi\)
−0.0350518 + 0.999385i \(0.511160\pi\)
\(578\) 2.60140 0.278172i 0.108204 0.0115704i
\(579\) 17.0837 + 13.4521i 0.709973 + 0.559049i
\(580\) 0.0158900 0.0495127i 0.000659797 0.00205590i
\(581\) 27.2328 + 3.18306i 1.12981 + 0.132056i
\(582\) 9.13637 3.54728i 0.378715 0.147040i
\(583\) −0.486674 + 0.739951i −0.0201560 + 0.0306457i
\(584\) −27.8381 11.0721i −1.15195 0.458169i
\(585\) 1.50256 + 1.57979i 0.0621231 + 0.0653165i
\(586\) −6.25112 11.0773i −0.258231 0.457598i
\(587\) 11.8176 3.53795i 0.487764 0.146027i −0.0334719 0.999440i \(-0.510656\pi\)
0.521236 + 0.853413i \(0.325471\pi\)
\(588\) −0.208398 + 0.726264i −0.00859420 + 0.0299506i
\(589\) −5.09744 + 10.1498i −0.210036 + 0.418217i
\(590\) −3.23570 + 1.35818i −0.133212 + 0.0559155i
\(591\) 16.4223 8.89767i 0.675525 0.366001i
\(592\) 8.17526 29.3085i 0.336001 1.20457i
\(593\) −11.9111 6.87685i −0.489129 0.282399i 0.235084 0.971975i \(-0.424463\pi\)
−0.724213 + 0.689576i \(0.757797\pi\)
\(594\) 7.39929 18.4222i 0.303597 0.755873i
\(595\) 1.32965 + 2.30302i 0.0545104 + 0.0944148i
\(596\) 0.882733 + 0.605769i 0.0361582 + 0.0248133i
\(597\) 4.75206 + 4.21182i 0.194489 + 0.172378i
\(598\) 4.49161 35.4067i 0.183676 1.44789i
\(599\) −1.88446 32.3549i −0.0769968 1.32198i −0.786635 0.617418i \(-0.788179\pi\)
0.709639 0.704566i \(-0.248858\pi\)
\(600\) 21.6057 + 10.8069i 0.882048 + 0.441191i
\(601\) −14.0519 3.33037i −0.573190 0.135849i −0.0662093 0.997806i \(-0.521090\pi\)
−0.506981 + 0.861957i \(0.669239\pi\)
\(602\) −9.02789 5.33124i −0.367949 0.217285i
\(603\) −15.0735 + 41.9400i −0.613840 + 1.70793i
\(604\) −23.2438 14.0361i −0.945778 0.571120i
\(605\) 0.0564620 0.969415i 0.00229551 0.0394123i
\(606\) −10.1659 3.45694i −0.412959 0.140429i
\(607\) −4.15870 3.09603i −0.168796 0.125664i 0.509446 0.860503i \(-0.329850\pi\)
−0.678242 + 0.734839i \(0.737258\pi\)
\(608\) −14.4328 16.8881i −0.585329 0.684902i
\(609\) −0.0139031 0.446800i −0.000563382 0.0181053i
\(610\) 2.80205 + 1.24149i 0.113452 + 0.0502664i
\(611\) 15.5940 2.74964i 0.630866 0.111239i
\(612\) 11.9914 20.0402i 0.484724 0.810076i
\(613\) 11.0425 + 1.94709i 0.446002 + 0.0786423i 0.392139 0.919906i \(-0.371735\pi\)
0.0538636 + 0.998548i \(0.482846\pi\)
\(614\) −35.5473 23.8836i −1.43457 0.963864i
\(615\) −1.82602 2.59666i −0.0736322 0.104707i
\(616\) 16.9409 10.4401i 0.682569 0.420642i
\(617\) 4.31477 + 18.2055i 0.173706 + 0.732924i 0.988253 + 0.152826i \(0.0488376\pi\)
−0.814547 + 0.580098i \(0.803014\pi\)
\(618\) −13.1752 24.8984i −0.529983 1.00156i
\(619\) −32.1138 + 3.75357i −1.29076 + 0.150869i −0.733627 0.679552i \(-0.762174\pi\)
−0.557137 + 0.830421i \(0.688100\pi\)
\(620\) 1.48902 + 0.292842i 0.0598005 + 0.0117608i
\(621\) 44.0998 + 17.2113i 1.76966 + 0.690666i
\(622\) 21.5052 17.6877i 0.862279 0.709214i
\(623\) −7.32992 + 16.9927i −0.293667 + 0.680796i
\(624\) 15.4878 11.3339i 0.620007 0.453718i
\(625\) −16.4508 17.4368i −0.658032 0.697473i
\(626\) −3.80966 4.11835i −0.152265 0.164602i
\(627\) 16.6388 7.79973i 0.664491 0.311491i
\(628\) −1.88884 0.859186i −0.0753730 0.0342853i
\(629\) 22.6812 + 19.0318i 0.904358 + 0.758846i
\(630\) −2.87706 0.353183i −0.114625 0.0140712i
\(631\) −14.6140 17.4163i −0.581775 0.693332i 0.392228 0.919868i \(-0.371704\pi\)
−0.974003 + 0.226536i \(0.927260\pi\)
\(632\) −16.3260 1.43485i −0.649412 0.0570752i
\(633\) 17.0422 15.2280i 0.677367 0.605259i
\(634\) −20.2448 10.4177i −0.804022 0.413740i
\(635\) −3.94468 + 1.70157i −0.156540 + 0.0675246i
\(636\) −0.209991 1.11603i −0.00832667 0.0442536i
\(637\) −0.271165 0.539935i −0.0107440 0.0213930i
\(638\) 0.246223 0.287648i 0.00974805 0.0113881i
\(639\) 23.6274 36.2415i 0.934685 1.43369i
\(640\) −1.65729 + 2.46242i −0.0655100 + 0.0973357i
\(641\) 27.5233 + 25.9669i 1.08711 + 1.02563i 0.999566 + 0.0294696i \(0.00938183\pi\)
0.0875393 + 0.996161i \(0.472100\pi\)
\(642\) 14.7857 6.75462i 0.583547 0.266584i
\(643\) −13.4115 + 8.82091i −0.528899 + 0.347863i −0.785706 0.618600i \(-0.787700\pi\)
0.256806 + 0.966463i \(0.417330\pi\)
\(644\) 25.2905 + 40.1497i 0.996587 + 1.58212i
\(645\) −0.475182 + 1.20318i −0.0187103 + 0.0473750i
\(646\) 20.7689 5.99601i 0.817139 0.235910i
\(647\) −10.3241 −0.405882 −0.202941 0.979191i \(-0.565050\pi\)
−0.202941 + 0.979191i \(0.565050\pi\)
\(648\) 9.57979 + 23.5845i 0.376330 + 0.926486i
\(649\) −25.5522 −1.00301
\(650\) −18.5600 + 5.35831i −0.727982 + 0.210170i
\(651\) 12.9039 1.91676i 0.505745 0.0751237i
\(652\) −35.0983 + 22.1086i −1.37455 + 0.865841i
\(653\) 37.6089 24.7357i 1.47175 0.967984i 0.475659 0.879630i \(-0.342210\pi\)
0.996089 0.0883541i \(-0.0281607\pi\)
\(654\) −1.71199 + 17.9521i −0.0669440 + 0.701984i
\(655\) 2.05094 + 1.93496i 0.0801369 + 0.0756053i
\(656\) −24.7301 + 13.0098i −0.965548 + 0.507946i
\(657\) 3.81639 + 31.5465i 0.148892 + 1.23075i
\(658\) −13.6900 + 15.9932i −0.533692 + 0.623481i
\(659\) −0.369807 0.736347i −0.0144056 0.0286840i 0.886315 0.463083i \(-0.153257\pi\)
−0.900720 + 0.434399i \(0.856961\pi\)
\(660\) −1.59964 1.86265i −0.0622661 0.0725034i
\(661\) −5.28030 + 2.27770i −0.205380 + 0.0885923i −0.496285 0.868160i \(-0.665303\pi\)
0.290905 + 0.956752i \(0.406044\pi\)
\(662\) −28.9963 14.9211i −1.12697 0.579926i
\(663\) 3.81335 + 18.2817i 0.148098 + 0.710002i
\(664\) −29.6646 2.60715i −1.15121 0.101177i
\(665\) −1.72466 2.05537i −0.0668794 0.0797037i
\(666\) −31.4458 + 7.26069i −1.21850 + 0.281346i
\(667\) 0.691644 + 0.580358i 0.0267806 + 0.0224716i
\(668\) 1.13640 2.49827i 0.0439685 0.0966608i
\(669\) −20.4675 14.2700i −0.791319 0.551711i
\(670\) 3.74280 + 4.04607i 0.144597 + 0.156313i
\(671\) 15.3142 + 16.2321i 0.591198 + 0.626634i
\(672\) −6.33114 + 24.7180i −0.244229 + 0.953516i
\(673\) −8.78999 + 20.3775i −0.338829 + 0.785494i 0.660568 + 0.750766i \(0.270316\pi\)
−0.999397 + 0.0347277i \(0.988944\pi\)
\(674\) 3.45981 2.84565i 0.133267 0.109610i
\(675\) −0.900296 25.6073i −0.0346524 0.985625i
\(676\) 2.05572 10.4528i 0.0790663 0.402030i
\(677\) −39.0386 + 4.56295i −1.50037 + 0.175369i −0.826273 0.563270i \(-0.809543\pi\)
−0.674101 + 0.738639i \(0.735469\pi\)
\(678\) −18.4677 + 29.4239i −0.709248 + 1.13002i
\(679\) −2.40299 10.1390i −0.0922183 0.389100i
\(680\) −1.51530 2.45885i −0.0581091 0.0942928i
\(681\) 45.1198 4.03924i 1.72899 0.154784i
\(682\) 9.17201 + 6.16251i 0.351215 + 0.235975i
\(683\) 6.18970 + 1.09141i 0.236842 + 0.0417617i 0.290809 0.956781i \(-0.406075\pi\)
−0.0539670 + 0.998543i \(0.517187\pi\)
\(684\) −8.40379 + 22.0132i −0.321327 + 0.841694i
\(685\) −2.94585 + 0.519433i −0.112555 + 0.0198465i
\(686\) 24.3048 + 10.7686i 0.927963 + 0.411148i
\(687\) 3.39849 2.10570i 0.129661 0.0803375i
\(688\) 9.96727 + 5.50657i 0.379999 + 0.209936i
\(689\) 0.728416 + 0.542285i 0.0277504 + 0.0206594i
\(690\) 4.40385 3.85788i 0.167652 0.146867i
\(691\) 0.359202 6.16726i 0.0136647 0.234614i −0.984560 0.175049i \(-0.943992\pi\)
0.998224 0.0595648i \(-0.0189713\pi\)
\(692\) −2.69647 + 4.46537i −0.102505 + 0.169748i
\(693\) −18.3213 10.4794i −0.695968 0.398081i
\(694\) −14.4051 8.50666i −0.546811 0.322908i
\(695\) −0.125989 0.0298600i −0.00477904 0.00113265i
\(696\) 0.0290158 + 0.484637i 0.00109984 + 0.0183701i
\(697\) −1.58102 27.1450i −0.0598853 1.02819i
\(698\) 0.251000 1.97859i 0.00950047 0.0748909i
\(699\) −15.9667 + 5.32659i −0.603918 + 0.201470i
\(700\) 14.5324 21.1768i 0.549273 0.800406i
\(701\) 0.621728 + 1.07686i 0.0234823 + 0.0406726i 0.877528 0.479526i \(-0.159191\pi\)
−0.854045 + 0.520198i \(0.825858\pi\)
\(702\) −18.4163 8.67240i −0.695077 0.327319i
\(703\) −25.8708 14.9365i −0.975736 0.563341i
\(704\) −18.0666 + 11.8621i −0.680912 + 0.447071i
\(705\) 2.21352 + 1.35916i 0.0833661 + 0.0511890i
\(706\) 29.4562 12.3642i 1.10860 0.465333i
\(707\) −5.12338 + 10.2015i −0.192685 + 0.383667i
\(708\) 23.5727 22.7554i 0.885915 0.855201i
\(709\) −7.66581 + 2.29499i −0.287896 + 0.0861903i −0.427495 0.904018i \(-0.640604\pi\)
0.139599 + 0.990208i \(0.455419\pi\)
\(710\) −2.62960 4.65977i −0.0986871 0.174878i
\(711\) 6.94944 + 15.9335i 0.260624 + 0.597552i
\(712\) 7.42827 18.6765i 0.278386 0.699932i
\(713\) −14.4791 + 22.0144i −0.542246 + 0.824446i
\(714\) −19.3553 15.5514i −0.724355 0.581997i
\(715\) 1.95010 + 0.227934i 0.0729297 + 0.00852426i
\(716\) 17.7802 + 5.70616i 0.664477 + 0.213249i
\(717\) −22.2561 + 8.89384i −0.831170 + 0.332147i
\(718\) 29.2133 3.12384i 1.09023 0.116581i
\(719\) −36.8062 13.3964i −1.37264 0.499600i −0.452701 0.891662i \(-0.649540\pi\)
−0.919939 + 0.392062i \(0.871762\pi\)
\(720\) 3.13450 + 0.293788i 0.116816 + 0.0109488i
\(721\) −28.1425 + 10.2430i −1.04808 + 0.381471i
\(722\) 4.54354 2.22621i 0.169093 0.0828509i
\(723\) 10.4637 39.3688i 0.389150 1.46414i
\(724\) −6.32481 + 46.2148i −0.235060 + 1.71756i
\(725\) 0.140159 0.468165i 0.00520539 0.0173872i
\(726\) 2.78449 + 8.62822i 0.103342 + 0.320223i
\(727\) −27.1684 + 20.2262i −1.00762 + 0.750147i −0.968481 0.249087i \(-0.919869\pi\)
−0.0391407 + 0.999234i \(0.512462\pi\)
\(728\) −9.67667 17.9635i −0.358641 0.665773i
\(729\) 17.1035 20.8918i 0.633465 0.773772i
\(730\) 3.67955 + 1.38035i 0.136186 + 0.0510890i
\(731\) −8.88803 + 6.61690i −0.328736 + 0.244735i
\(732\) −28.5833 1.33659i −1.05647 0.0494017i
\(733\) 30.7666 + 9.21092i 1.13639 + 0.340213i 0.799106 0.601190i \(-0.205306\pi\)
0.337284 + 0.941403i \(0.390492\pi\)
\(734\) −0.929425 4.10075i −0.0343057 0.151361i
\(735\) 0.0254591 0.0957876i 0.000939075 0.00353318i
\(736\) −28.7078 42.8006i −1.05818 1.57765i
\(737\) 13.7265 + 37.7133i 0.505623 + 1.38919i
\(738\) 24.6678 + 16.4297i 0.908034 + 0.604786i
\(739\) 33.4067 + 12.1591i 1.22889 + 0.447278i 0.873216 0.487334i \(-0.162030\pi\)
0.355670 + 0.934612i \(0.384253\pi\)
\(740\) −0.996628 + 3.86493i −0.0366368 + 0.142077i
\(741\) −6.99199 17.4969i −0.256857 0.642764i
\(742\) −1.20594 + 0.0583517i −0.0442713 + 0.00214216i
\(743\) 18.8512 + 2.20339i 0.691584 + 0.0808345i 0.454622 0.890684i \(-0.349774\pi\)
0.236962 + 0.971519i \(0.423848\pi\)
\(744\) −13.9495 + 2.48301i −0.511413 + 0.0910315i
\(745\) −0.117333 0.0771713i −0.00429876 0.00282734i
\(746\) −15.5957 44.1957i −0.571001 1.61812i
\(747\) 12.6273 + 28.9514i 0.462008 + 1.05928i
\(748\) −3.24419 20.7792i −0.118619 0.759763i
\(749\) −4.95662 16.5563i −0.181111 0.604953i
\(750\) −5.76288 2.74227i −0.210431 0.100134i
\(751\) 0.421850 0.839972i 0.0153935 0.0306510i −0.885804 0.464059i \(-0.846393\pi\)
0.901198 + 0.433408i \(0.142689\pi\)
\(752\) 14.3643 17.7897i 0.523810 0.648722i
\(753\) 0.900226 1.46610i 0.0328061 0.0534278i
\(754\) −0.279763 0.269188i −0.0101884 0.00980327i
\(755\) 3.08464 + 1.78092i 0.112262 + 0.0648143i
\(756\) 26.2344 6.64839i 0.954135 0.241799i
\(757\) 26.4280 15.2582i 0.960543 0.554570i 0.0642028 0.997937i \(-0.479550\pi\)
0.896340 + 0.443367i \(0.146216\pi\)
\(758\) 8.48357 + 2.09891i 0.308137 + 0.0762360i
\(759\) 40.4398 13.4909i 1.46787 0.489690i
\(760\) 1.93642 + 2.17768i 0.0702415 + 0.0789926i
\(761\) −21.4491 + 1.24927i −0.777528 + 0.0452858i −0.442319 0.896858i \(-0.645844\pi\)
−0.335209 + 0.942144i \(0.608807\pi\)
\(762\) 28.5829 28.1399i 1.03545 1.01940i
\(763\) 18.6558 + 4.42151i 0.675386 + 0.160069i
\(764\) 36.2214 29.1996i 1.31044 1.05641i
\(765\) −1.52102 + 2.65921i −0.0549924 + 0.0961438i
\(766\) 3.25629 17.4620i 0.117654 0.630927i
\(767\) −1.52340 + 26.1558i −0.0550068 + 0.944430i
\(768\) 6.10323 27.0324i 0.220232 0.975448i
\(769\) 23.3921 31.4211i 0.843542 1.13307i −0.146065 0.989275i \(-0.546661\pi\)
0.989607 0.143799i \(-0.0459318\pi\)
\(770\) −2.19490 + 1.41290i −0.0790987 + 0.0509175i
\(771\) −13.3655 + 8.28127i −0.481348 + 0.298243i
\(772\) −17.5858 + 17.9207i −0.632927 +