Properties

Label 392.2.z.a.109.23
Level $392$
Weight $2$
Character 392.109
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 109.23
Character \(\chi\) \(=\) 392.109
Dual form 392.2.z.a.205.23

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.569237 - 1.29459i) q^{2} +(-0.443070 - 2.93958i) q^{3} +(-1.35194 + 1.47386i) q^{4} +(3.67681 + 1.44304i) q^{5} +(-3.55334 + 2.24691i) q^{6} +(2.36353 - 1.18901i) q^{7} +(2.67762 + 0.911233i) q^{8} +(-5.57808 + 1.72061i) q^{9} +O(q^{10})\) \(q+(-0.569237 - 1.29459i) q^{2} +(-0.443070 - 2.93958i) q^{3} +(-1.35194 + 1.47386i) q^{4} +(3.67681 + 1.44304i) q^{5} +(-3.55334 + 2.24691i) q^{6} +(2.36353 - 1.18901i) q^{7} +(2.67762 + 0.911233i) q^{8} +(-5.57808 + 1.72061i) q^{9} +(-0.224826 - 5.58140i) q^{10} +(1.30921 - 4.24434i) q^{11} +(4.93153 + 3.32110i) q^{12} +(1.69877 - 0.387734i) q^{13} +(-2.88469 - 2.38297i) q^{14} +(2.61285 - 11.4476i) q^{15} +(-0.344526 - 3.98514i) q^{16} +(0.673781 - 0.459376i) q^{17} +(5.40274 + 6.24191i) q^{18} +(-5.68015 + 3.27944i) q^{19} +(-7.09766 + 3.46820i) q^{20} +(-4.54239 - 6.42095i) q^{21} +(-6.23994 + 0.721149i) q^{22} +(3.85873 + 2.63083i) q^{23} +(1.49227 - 8.27481i) q^{24} +(7.77129 + 7.21070i) q^{25} +(-1.46896 - 1.97851i) q^{26} +(3.65982 + 7.59970i) q^{27} +(-1.44291 + 5.09097i) q^{28} +(-2.32148 + 4.82061i) q^{29} +(-16.3073 + 3.13384i) q^{30} +(-0.0831407 + 0.144004i) q^{31} +(-4.96301 + 2.71451i) q^{32} +(-13.0566 - 1.96797i) q^{33} +(-0.978246 - 0.610778i) q^{34} +(10.4060 - 0.961098i) q^{35} +(5.00528 - 10.5475i) q^{36} +(-6.25284 + 0.468586i) q^{37} +(7.47888 + 5.48670i) q^{38} +(-1.89245 - 4.82188i) q^{39} +(8.53015 + 7.21435i) q^{40} +(-1.52526 - 1.91261i) q^{41} +(-5.72681 + 9.53559i) q^{42} +(-1.43122 - 1.14136i) q^{43} +(4.48560 + 7.66768i) q^{44} +(-22.9924 - 1.72305i) q^{45} +(1.20933 - 6.49305i) q^{46} +(-5.80666 + 5.38779i) q^{47} +(-11.5620 + 2.77845i) q^{48} +(4.17251 - 5.62051i) q^{49} +(4.91121 - 14.1653i) q^{50} +(-1.64890 - 1.77710i) q^{51} +(-1.72517 + 3.02794i) q^{52} +(-1.35741 - 0.101724i) q^{53} +(7.75520 - 9.06401i) q^{54} +(10.9385 - 13.7164i) q^{55} +(7.41209 - 1.03000i) q^{56} +(12.1569 + 15.2442i) q^{57} +(7.56220 + 0.261305i) q^{58} +(-5.50543 + 2.16072i) q^{59} +(13.3398 + 19.3275i) q^{60} +(7.34836 - 0.550684i) q^{61} +(0.233753 + 0.0256609i) q^{62} +(-11.1381 + 10.6991i) q^{63} +(6.33931 + 4.87987i) q^{64} +(6.80558 + 1.02578i) q^{65} +(4.88460 + 18.0233i) q^{66} +(1.43812 + 0.830299i) q^{67} +(-0.233854 + 1.61411i) q^{68} +(6.02385 - 12.5087i) q^{69} +(-7.16772 - 12.9245i) q^{70} +(-2.00718 + 0.966608i) q^{71} +(-16.5039 - 0.475790i) q^{72} +(-2.69940 - 2.50467i) q^{73} +(4.16598 + 7.82815i) q^{74} +(17.7532 - 26.0391i) q^{75} +(2.84578 - 12.8053i) q^{76} +(-1.95222 - 11.5883i) q^{77} +(-5.16512 + 5.19474i) q^{78} +(-1.37676 - 2.38462i) q^{79} +(4.48396 - 15.1497i) q^{80} +(6.24903 - 4.26051i) q^{81} +(-1.60782 + 3.06331i) q^{82} +(-5.52939 - 1.26205i) q^{83} +(15.6046 + 1.98588i) q^{84} +(3.14026 - 0.716744i) q^{85} +(-0.662892 + 2.50255i) q^{86} +(15.1991 + 4.68831i) q^{87} +(7.37314 - 10.1717i) q^{88} +(-3.20441 + 0.988430i) q^{89} +(10.8575 + 30.7467i) q^{90} +(3.55407 - 2.93628i) q^{91} +(-9.09424 + 2.13049i) q^{92} +(0.460147 + 0.180595i) q^{93} +(10.2804 + 4.45032i) q^{94} +(-25.6172 + 3.86117i) q^{95} +(10.1785 + 13.3864i) q^{96} +16.3381 q^{97} +(-9.65142 - 2.20229i) q^{98} +25.9279i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 13q^{2} - 13q^{4} - 6q^{6} - 24q^{7} - 16q^{8} - 76q^{9} + O(q^{10}) \) \( 648q - 13q^{2} - 13q^{4} - 6q^{6} - 24q^{7} - 16q^{8} - 76q^{9} - 6q^{10} - 47q^{12} - 33q^{14} - 8q^{15} - 17q^{16} - 26q^{17} - 8q^{18} - 22q^{20} - 18q^{22} - 26q^{23} - 74q^{24} - 72q^{25} - 12q^{26} + 2q^{28} - 11q^{30} + 60q^{31} - 13q^{32} - 14q^{33} - 18q^{34} + 8q^{36} - 46q^{38} - 32q^{39} + 32q^{40} - 20q^{41} - 36q^{42} + 38q^{44} - 22q^{46} - 58q^{47} + 28q^{48} - 16q^{49} - 132q^{50} + 18q^{52} - 37q^{54} - 32q^{55} + 96q^{56} - 66q^{57} + 100q^{60} + 28q^{62} - 72q^{63} - 28q^{64} - 36q^{65} - 4q^{66} - 11q^{68} - 36q^{70} + 60q^{71} - 130q^{72} - 18q^{73} - 12q^{74} + 11q^{76} - 132q^{78} - 12q^{79} - 64q^{80} - 58q^{81} + 152q^{82} - 224q^{84} + 55q^{86} - 8q^{87} - 169q^{88} - 18q^{89} + 144q^{90} - 54q^{92} + 154q^{94} - 64q^{95} - 142q^{96} - 96q^{97} + 151q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.569237 1.29459i −0.402511 0.915415i
\(3\) −0.443070 2.93958i −0.255807 1.69717i −0.635539 0.772069i \(-0.719222\pi\)
0.379732 0.925096i \(-0.376016\pi\)
\(4\) −1.35194 + 1.47386i −0.675969 + 0.736930i
\(5\) 3.67681 + 1.44304i 1.64432 + 0.645347i 0.993494 0.113881i \(-0.0363283\pi\)
0.650824 + 0.759229i \(0.274424\pi\)
\(6\) −3.55334 + 2.24691i −1.45065 + 0.917297i
\(7\) 2.36353 1.18901i 0.893329 0.449404i
\(8\) 2.67762 + 0.911233i 0.946682 + 0.322170i
\(9\) −5.57808 + 1.72061i −1.85936 + 0.573537i
\(10\) −0.224826 5.58140i −0.0710962 1.76499i
\(11\) 1.30921 4.24434i 0.394741 1.27972i −0.512348 0.858778i \(-0.671224\pi\)
0.907089 0.420940i \(-0.138300\pi\)
\(12\) 4.93153 + 3.32110i 1.42361 + 0.958720i
\(13\) 1.69877 0.387734i 0.471155 0.107538i 0.0196504 0.999807i \(-0.493745\pi\)
0.451504 + 0.892269i \(0.350888\pi\)
\(14\) −2.88469 2.38297i −0.770966 0.636876i
\(15\) 2.61285 11.4476i 0.674634 2.95576i
\(16\) −0.344526 3.98514i −0.0861315 0.996284i
\(17\) 0.673781 0.459376i 0.163416 0.111415i −0.478851 0.877896i \(-0.658947\pi\)
0.642267 + 0.766481i \(0.277994\pi\)
\(18\) 5.40274 + 6.24191i 1.27344 + 1.47123i
\(19\) −5.68015 + 3.27944i −1.30312 + 0.752354i −0.980937 0.194325i \(-0.937748\pi\)
−0.322179 + 0.946679i \(0.604415\pi\)
\(20\) −7.09766 + 3.46820i −1.58708 + 0.775513i
\(21\) −4.54239 6.42095i −0.991232 1.40117i
\(22\) −6.23994 + 0.721149i −1.33036 + 0.153749i
\(23\) 3.85873 + 2.63083i 0.804600 + 0.548567i 0.894335 0.447399i \(-0.147650\pi\)
−0.0897346 + 0.995966i \(0.528602\pi\)
\(24\) 1.49227 8.27481i 0.304608 1.68909i
\(25\) 7.77129 + 7.21070i 1.55426 + 1.44214i
\(26\) −1.46896 1.97851i −0.288087 0.388017i
\(27\) 3.65982 + 7.59970i 0.704333 + 1.46256i
\(28\) −1.44291 + 5.09097i −0.272684 + 0.962104i
\(29\) −2.32148 + 4.82061i −0.431089 + 0.895165i 0.566386 + 0.824140i \(0.308341\pi\)
−0.997475 + 0.0710250i \(0.977373\pi\)
\(30\) −16.3073 + 3.13384i −2.97730 + 0.572159i
\(31\) −0.0831407 + 0.144004i −0.0149325 + 0.0258639i −0.873395 0.487012i \(-0.838087\pi\)
0.858463 + 0.512876i \(0.171420\pi\)
\(32\) −4.96301 + 2.71451i −0.877344 + 0.479862i
\(33\) −13.0566 1.96797i −2.27287 0.342580i
\(34\) −0.978246 0.610778i −0.167768 0.104748i
\(35\) 10.4060 0.961098i 1.75894 0.162455i
\(36\) 5.00528 10.5475i 0.834214 1.75791i
\(37\) −6.25284 + 0.468586i −1.02796 + 0.0770350i −0.578019 0.816023i \(-0.696174\pi\)
−0.449942 + 0.893058i \(0.648555\pi\)
\(38\) 7.47888 + 5.48670i 1.21324 + 0.890061i
\(39\) −1.89245 4.82188i −0.303034 0.772119i
\(40\) 8.53015 + 7.21435i 1.34874 + 1.14069i
\(41\) −1.52526 1.91261i −0.238205 0.298699i 0.648332 0.761358i \(-0.275467\pi\)
−0.886537 + 0.462659i \(0.846896\pi\)
\(42\) −5.72681 + 9.53559i −0.883667 + 1.47137i
\(43\) −1.43122 1.14136i −0.218259 0.174056i 0.508257 0.861206i \(-0.330290\pi\)
−0.726516 + 0.687150i \(0.758862\pi\)
\(44\) 4.48560 + 7.66768i 0.676230 + 1.15595i
\(45\) −22.9924 1.72305i −3.42751 0.256856i
\(46\) 1.20933 6.49305i 0.178306 0.957347i
\(47\) −5.80666 + 5.38779i −0.846988 + 0.785890i −0.978678 0.205401i \(-0.934150\pi\)
0.131690 + 0.991291i \(0.457960\pi\)
\(48\) −11.5620 + 2.77845i −1.66883 + 0.401035i
\(49\) 4.17251 5.62051i 0.596073 0.802930i
\(50\) 4.91121 14.1653i 0.694551 2.00327i
\(51\) −1.64890 1.77710i −0.230893 0.248843i
\(52\) −1.72517 + 3.02794i −0.239238 + 0.419900i
\(53\) −1.35741 0.101724i −0.186454 0.0139728i −0.0188244 0.999823i \(-0.505992\pi\)
−0.167630 + 0.985850i \(0.553611\pi\)
\(54\) 7.75520 9.06401i 1.05535 1.23346i
\(55\) 10.9385 13.7164i 1.47494 1.84952i
\(56\) 7.41209 1.03000i 0.990482 0.137639i
\(57\) 12.1569 + 15.2442i 1.61022 + 2.01915i
\(58\) 7.56220 + 0.261305i 0.992966 + 0.0343110i
\(59\) −5.50543 + 2.16072i −0.716746 + 0.281302i −0.695555 0.718473i \(-0.744841\pi\)
−0.0211916 + 0.999775i \(0.506746\pi\)
\(60\) 13.3398 + 19.3275i 1.72216 + 2.49516i
\(61\) 7.34836 0.550684i 0.940861 0.0705078i 0.404539 0.914521i \(-0.367432\pi\)
0.536323 + 0.844013i \(0.319813\pi\)
\(62\) 0.233753 + 0.0256609i 0.0296867 + 0.00325894i
\(63\) −11.1381 + 10.6991i −1.40327 + 1.34796i
\(64\) 6.33931 + 4.87987i 0.792414 + 0.609984i
\(65\) 6.80558 + 1.02578i 0.844128 + 0.127232i
\(66\) 4.88460 + 18.0233i 0.601253 + 2.21851i
\(67\) 1.43812 + 0.830299i 0.175694 + 0.101437i 0.585268 0.810840i \(-0.300989\pi\)
−0.409574 + 0.912277i \(0.634323\pi\)
\(68\) −0.233854 + 1.61411i −0.0283590 + 0.195739i
\(69\) 6.02385 12.5087i 0.725187 1.50587i
\(70\) −7.16772 12.9245i −0.856707 1.54477i
\(71\) −2.00718 + 0.966608i −0.238209 + 0.114715i −0.549180 0.835704i \(-0.685060\pi\)
0.310971 + 0.950419i \(0.399346\pi\)
\(72\) −16.5039 0.475790i −1.94500 0.0560724i
\(73\) −2.69940 2.50467i −0.315940 0.293150i 0.506222 0.862403i \(-0.331042\pi\)
−0.822162 + 0.569254i \(0.807232\pi\)
\(74\) 4.16598 + 7.82815i 0.484285 + 0.910003i
\(75\) 17.7532 26.0391i 2.04996 3.00674i
\(76\) 2.84578 12.8053i 0.326434 1.46887i
\(77\) −1.95222 11.5883i −0.222477 1.32061i
\(78\) −5.16512 + 5.19474i −0.584834 + 0.588189i
\(79\) −1.37676 2.38462i −0.154898 0.268291i 0.778124 0.628111i \(-0.216172\pi\)
−0.933022 + 0.359820i \(0.882838\pi\)
\(80\) 4.48396 15.1497i 0.501322 1.69379i
\(81\) 6.24903 4.26051i 0.694336 0.473390i
\(82\) −1.60782 + 3.06331i −0.177554 + 0.338286i
\(83\) −5.52939 1.26205i −0.606929 0.138528i −0.0919981 0.995759i \(-0.529325\pi\)
−0.514931 + 0.857232i \(0.672183\pi\)
\(84\) 15.6046 + 1.98588i 1.70260 + 0.216677i
\(85\) 3.14026 0.716744i 0.340609 0.0777418i
\(86\) −0.662892 + 2.50255i −0.0714814 + 0.269857i
\(87\) 15.1991 + 4.68831i 1.62952 + 0.502640i
\(88\) 7.37314 10.1717i 0.785980 1.08431i
\(89\) −3.20441 + 0.988430i −0.339667 + 0.104773i −0.459896 0.887973i \(-0.652113\pi\)
0.120229 + 0.992746i \(0.461637\pi\)
\(90\) 10.8575 + 30.7467i 1.14448 + 3.24098i
\(91\) 3.55407 2.93628i 0.372568 0.307805i
\(92\) −9.09424 + 2.13049i −0.948140 + 0.222119i
\(93\) 0.460147 + 0.180595i 0.0477151 + 0.0187268i
\(94\) 10.2804 + 4.45032i 1.06034 + 0.459016i
\(95\) −25.6172 + 3.86117i −2.62827 + 0.396148i
\(96\) 10.1785 + 13.3864i 1.03883 + 1.36625i
\(97\) 16.3381 1.65889 0.829443 0.558592i \(-0.188658\pi\)
0.829443 + 0.558592i \(0.188658\pi\)
\(98\) −9.65142 2.20229i −0.974941 0.222465i
\(99\) 25.9279i 2.60585i
\(100\) −21.1339 + 1.70537i −2.11339 + 0.170537i
\(101\) −0.333350 2.21164i −0.0331696 0.220066i 0.966105 0.258150i \(-0.0831128\pi\)
−0.999275 + 0.0380837i \(0.987875\pi\)
\(102\) −1.36200 + 3.14625i −0.134858 + 0.311525i
\(103\) 3.47004 8.84151i 0.341913 0.871179i −0.651715 0.758464i \(-0.725950\pi\)
0.993627 0.112715i \(-0.0359548\pi\)
\(104\) 4.90198 + 0.509774i 0.480679 + 0.0499874i
\(105\) −7.43582 30.1635i −0.725661 2.94365i
\(106\) 0.640997 + 1.81520i 0.0622591 + 0.176307i
\(107\) 3.90003 + 12.6436i 0.377030 + 1.22230i 0.923099 + 0.384561i \(0.125647\pi\)
−0.546069 + 0.837740i \(0.683876\pi\)
\(108\) −16.1487 4.88026i −1.55391 0.469603i
\(109\) −4.46222 + 14.4662i −0.427403 + 1.38561i 0.444435 + 0.895811i \(0.353405\pi\)
−0.871838 + 0.489795i \(0.837072\pi\)
\(110\) −23.9837 6.35296i −2.28676 0.605731i
\(111\) 4.14789 + 18.1731i 0.393700 + 1.72491i
\(112\) −5.55266 9.00933i −0.524677 0.851301i
\(113\) −0.150265 + 0.658353i −0.0141357 + 0.0619327i −0.981504 0.191442i \(-0.938684\pi\)
0.967368 + 0.253375i \(0.0815407\pi\)
\(114\) 12.8149 24.4157i 1.20023 2.28674i
\(115\) 10.3914 + 15.2414i 0.969002 + 1.42127i
\(116\) −3.96640 9.93872i −0.368271 0.922787i
\(117\) −8.80875 + 5.08574i −0.814369 + 0.470176i
\(118\) 5.93115 + 5.89733i 0.546007 + 0.542893i
\(119\) 1.04630 1.88688i 0.0959138 0.172970i
\(120\) 17.4277 28.2715i 1.59092 2.58082i
\(121\) −7.21179 4.91692i −0.655618 0.446993i
\(122\) −4.89587 9.19966i −0.443251 0.832898i
\(123\) −4.94647 + 5.33103i −0.446008 + 0.480682i
\(124\) −0.0998404 0.317222i −0.00896594 0.0284874i
\(125\) 9.59933 + 19.9332i 0.858591 + 1.78288i
\(126\) 20.1912 + 8.32899i 1.79878 + 0.742006i
\(127\) 2.95041 + 1.42084i 0.261806 + 0.126079i 0.560183 0.828369i \(-0.310731\pi\)
−0.298377 + 0.954448i \(0.596445\pi\)
\(128\) 2.70888 10.9846i 0.239433 0.970913i
\(129\) −2.72098 + 4.71288i −0.239569 + 0.414946i
\(130\) −2.54603 9.39436i −0.223301 0.823939i
\(131\) −0.598958 + 3.97382i −0.0523312 + 0.347195i 0.947308 + 0.320325i \(0.103792\pi\)
−0.999639 + 0.0268698i \(0.991446\pi\)
\(132\) 20.5523 16.5831i 1.78885 1.44337i
\(133\) −9.52590 + 14.5048i −0.826000 + 1.25772i
\(134\) 0.256267 2.33442i 0.0221381 0.201663i
\(135\) 2.48979 + 33.2239i 0.214287 + 2.85946i
\(136\) 2.22273 0.616064i 0.190597 0.0528270i
\(137\) −1.72160 4.38658i −0.147087 0.374770i 0.838275 0.545248i \(-0.183564\pi\)
−0.985362 + 0.170477i \(0.945469\pi\)
\(138\) −19.6226 0.678041i −1.67039 0.0577187i
\(139\) 16.2894 12.9904i 1.38165 1.10183i 0.398879 0.917004i \(-0.369399\pi\)
0.982771 0.184826i \(-0.0591720\pi\)
\(140\) −12.6518 + 16.6364i −1.06927 + 1.40603i
\(141\) 18.4106 + 14.6819i 1.55045 + 1.23644i
\(142\) 2.39393 + 2.04825i 0.200894 + 0.171886i
\(143\) 0.578369 7.71780i 0.0483656 0.645394i
\(144\) 8.77866 + 21.6366i 0.731555 + 1.80305i
\(145\) −15.4920 + 14.3745i −1.28654 + 1.19373i
\(146\) −1.70593 + 4.92037i −0.141184 + 0.407213i
\(147\) −18.3706 9.77513i −1.51518 0.806239i
\(148\) 7.76283 9.84931i 0.638100 0.809609i
\(149\) −3.68145 3.96766i −0.301596 0.325043i 0.564011 0.825767i \(-0.309258\pi\)
−0.865607 + 0.500724i \(0.833067\pi\)
\(150\) −43.8159 8.16069i −3.57755 0.666318i
\(151\) 0.697663 9.30967i 0.0567750 0.757610i −0.894067 0.447933i \(-0.852160\pi\)
0.950842 0.309677i \(-0.100221\pi\)
\(152\) −18.1976 + 3.60515i −1.47602 + 0.292416i
\(153\) −2.96800 + 3.72175i −0.239948 + 0.300886i
\(154\) −13.8908 + 9.12381i −1.11935 + 0.735217i
\(155\) −0.513496 + 0.409499i −0.0412450 + 0.0328918i
\(156\) 9.66525 + 3.72968i 0.773839 + 0.298613i
\(157\) 15.2605 5.98932i 1.21792 0.478000i 0.332642 0.943053i \(-0.392060\pi\)
0.885283 + 0.465053i \(0.153965\pi\)
\(158\) −2.30341 + 3.13976i −0.183249 + 0.249786i
\(159\) 0.302402 + 4.03528i 0.0239821 + 0.320018i
\(160\) −22.1652 + 2.81890i −1.75231 + 0.222853i
\(161\) 12.2483 + 1.62998i 0.965300 + 0.128461i
\(162\) −9.07281 5.66470i −0.712827 0.445061i
\(163\) −1.74017 + 11.5452i −0.136300 + 0.904294i 0.811253 + 0.584696i \(0.198786\pi\)
−0.947553 + 0.319598i \(0.896452\pi\)
\(164\) 4.88097 + 0.337718i 0.381140 + 0.0263713i
\(165\) −45.1669 26.0771i −3.51624 2.03010i
\(166\) 1.51370 + 7.87671i 0.117486 + 0.611351i
\(167\) −9.86202 4.74930i −0.763146 0.367512i 0.0114779 0.999934i \(-0.496346\pi\)
−0.774624 + 0.632423i \(0.782061\pi\)
\(168\) −6.31183 21.3321i −0.486968 1.64580i
\(169\) −8.97710 + 4.32315i −0.690547 + 0.332550i
\(170\) −2.71545 3.65736i −0.208265 0.280507i
\(171\) 26.0417 28.0663i 1.99146 2.14628i
\(172\) 3.61712 0.566369i 0.275803 0.0431852i
\(173\) −7.12332 + 10.4480i −0.541576 + 0.794346i −0.995304 0.0967938i \(-0.969141\pi\)
0.453728 + 0.891140i \(0.350094\pi\)
\(174\) −2.58246 22.3455i −0.195776 1.69400i
\(175\) 26.9412 + 7.80254i 2.03657 + 0.589817i
\(176\) −17.3653 3.75508i −1.30896 0.283050i
\(177\) 8.79090 + 15.2263i 0.660764 + 1.14448i
\(178\) 3.10369 + 3.58576i 0.232631 + 0.268764i
\(179\) 14.6879 + 21.5432i 1.09783 + 1.61021i 0.734581 + 0.678521i \(0.237379\pi\)
0.363245 + 0.931694i \(0.381669\pi\)
\(180\) 33.6239 31.5582i 2.50618 2.35221i
\(181\) 12.2925 + 2.80567i 0.913691 + 0.208544i 0.653424 0.756992i \(-0.273332\pi\)
0.260268 + 0.965537i \(0.416189\pi\)
\(182\) −5.82439 2.92964i −0.431733 0.217159i
\(183\) −4.87461 21.3571i −0.360342 1.57876i
\(184\) 7.93490 + 10.5606i 0.584969 + 0.778536i
\(185\) −23.6667 7.30021i −1.74001 0.536722i
\(186\) −0.0281367 0.698504i −0.00206308 0.0512168i
\(187\) −1.06763 3.46118i −0.0780729 0.253106i
\(188\) −0.0906061 15.8422i −0.00660813 1.15541i
\(189\) 17.6862 + 13.6105i 1.28648 + 0.990019i
\(190\) 19.5809 + 30.9659i 1.42055 + 2.24650i
\(191\) 0.269592 0.686908i 0.0195070 0.0497029i −0.920788 0.390062i \(-0.872453\pi\)
0.940295 + 0.340359i \(0.110549\pi\)
\(192\) 11.5360 20.7970i 0.832540 1.50089i
\(193\) 7.90498 1.19148i 0.569013 0.0857649i 0.141766 0.989900i \(-0.454722\pi\)
0.427246 + 0.904135i \(0.359484\pi\)
\(194\) −9.30027 21.1512i −0.667720 1.51857i
\(195\) 20.4600i 1.46517i
\(196\) 2.64287 + 13.7483i 0.188777 + 0.982020i
\(197\) 13.8987i 0.990244i −0.868823 0.495122i \(-0.835123\pi\)
0.868823 0.495122i \(-0.164877\pi\)
\(198\) 33.5661 14.7591i 2.38544 1.04889i
\(199\) 22.4564 3.38475i 1.59189 0.239939i 0.707508 0.706705i \(-0.249819\pi\)
0.884380 + 0.466767i \(0.154581\pi\)
\(200\) 14.2379 + 26.3890i 1.00677 + 1.86598i
\(201\) 1.80354 4.59535i 0.127212 0.324131i
\(202\) −2.67341 + 1.69050i −0.188101 + 0.118943i
\(203\) 0.244869 + 14.1539i 0.0171864 + 0.993410i
\(204\) 4.84841 0.0277295i 0.339456 0.00194145i
\(205\) −2.84810 9.23331i −0.198920 0.644882i
\(206\) −13.4214 + 0.540632i −0.935114 + 0.0376676i
\(207\) −26.0509 8.03565i −1.81066 0.558516i
\(208\) −2.13044 6.63625i −0.147720 0.460141i
\(209\) 6.48256 + 28.4020i 0.448408 + 1.96460i
\(210\) −34.8166 + 26.7965i −2.40258 + 1.84913i
\(211\) −24.1109 5.50316i −1.65986 0.378853i −0.713170 0.700991i \(-0.752741\pi\)
−0.946693 + 0.322138i \(0.895598\pi\)
\(212\) 1.98506 1.86311i 0.136334 0.127959i
\(213\) 3.73074 + 5.47199i 0.255626 + 0.374935i
\(214\) 14.1482 12.2461i 0.967154 0.837129i
\(215\) −3.61529 6.26186i −0.246561 0.427056i
\(216\) 2.87452 + 23.6841i 0.195586 + 1.61150i
\(217\) −0.0252830 + 0.439212i −0.00171633 + 0.0298156i
\(218\) 21.2678 2.45792i 1.44044 0.166471i
\(219\) −6.16666 + 9.04482i −0.416704 + 0.611193i
\(220\) 5.42792 + 34.6655i 0.365950 + 2.33715i
\(221\) 0.966485 1.04162i 0.0650128 0.0700672i
\(222\) 21.1656 15.7146i 1.42054 1.05470i
\(223\) −9.49716 + 4.57359i −0.635977 + 0.306270i −0.723950 0.689852i \(-0.757675\pi\)
0.0879729 + 0.996123i \(0.471961\pi\)
\(224\) −8.50262 + 12.3169i −0.568105 + 0.822956i
\(225\) −55.7557 26.8505i −3.71705 1.79004i
\(226\) 0.937836 0.180227i 0.0623839 0.0119886i
\(227\) −10.4997 6.06203i −0.696893 0.402351i 0.109296 0.994009i \(-0.465140\pi\)
−0.806189 + 0.591658i \(0.798474\pi\)
\(228\) −38.9032 2.69174i −2.57642 0.178265i
\(229\) 4.08783 27.1210i 0.270131 1.79220i −0.283010 0.959117i \(-0.591333\pi\)
0.553142 0.833087i \(-0.313429\pi\)
\(230\) 13.8162 22.1286i 0.911013 1.45911i
\(231\) −33.1996 + 10.8731i −2.18438 + 0.715399i
\(232\) −10.6088 + 10.7924i −0.696499 + 0.708553i
\(233\) 0.832632 + 11.1107i 0.0545475 + 0.727886i 0.955692 + 0.294368i \(0.0951090\pi\)
−0.901145 + 0.433518i \(0.857272\pi\)
\(234\) 11.5982 + 8.50875i 0.758199 + 0.556235i
\(235\) −29.1248 + 11.4306i −1.89989 + 0.745652i
\(236\) 4.25840 11.0354i 0.277198 0.718343i
\(237\) −6.39978 + 5.10365i −0.415710 + 0.331518i
\(238\) −3.03833 0.280445i −0.196946 0.0181785i
\(239\) 15.6813 19.6637i 1.01434 1.27194i 0.0524141 0.998625i \(-0.483308\pi\)
0.961925 0.273315i \(-0.0881201\pi\)
\(240\) −46.5205 6.46854i −3.00289 0.417543i
\(241\) −0.170395 + 2.27377i −0.0109761 + 0.146466i −0.999999 0.00129525i \(-0.999588\pi\)
0.989023 + 0.147761i \(0.0472068\pi\)
\(242\) −2.26018 + 12.1352i −0.145290 + 0.780082i
\(243\) 1.91897 + 2.06816i 0.123102 + 0.132672i
\(244\) −9.12290 + 11.5749i −0.584034 + 0.741010i
\(245\) 23.4521 14.6444i 1.49830 0.935599i
\(246\) 9.71722 + 3.36904i 0.619547 + 0.214802i
\(247\) −8.37773 + 7.77340i −0.533063 + 0.494610i
\(248\) −0.353840 + 0.309827i −0.0224689 + 0.0196740i
\(249\) −1.25998 + 16.8132i −0.0798479 + 1.06550i
\(250\) 20.3411 23.7740i 1.28648 1.50360i
\(251\) −14.6286 11.6660i −0.923352 0.736348i 0.0415013 0.999138i \(-0.486786\pi\)
−0.964853 + 0.262790i \(0.915357\pi\)
\(252\) −0.710932 30.8805i −0.0447845 1.94529i
\(253\) 16.2180 12.9334i 1.01962 0.813119i
\(254\) 0.159929 4.62837i 0.0100348 0.290410i
\(255\) −3.49828 8.91347i −0.219071 0.558183i
\(256\) −15.7626 + 2.74596i −0.985163 + 0.171623i
\(257\) −0.777151 10.3704i −0.0484773 0.646885i −0.967531 0.252753i \(-0.918664\pi\)
0.919054 0.394133i \(-0.128955\pi\)
\(258\) 7.65014 + 0.839817i 0.476277 + 0.0522847i
\(259\) −14.2216 + 8.54221i −0.883687 + 0.530787i
\(260\) −10.7126 + 8.64368i −0.664365 + 0.536058i
\(261\) 4.65504 30.8841i 0.288139 1.91168i
\(262\) 5.48543 1.48664i 0.338891 0.0918451i
\(263\) −10.6534 + 18.4523i −0.656918 + 1.13781i 0.324492 + 0.945889i \(0.394807\pi\)
−0.981409 + 0.191926i \(0.938527\pi\)
\(264\) −33.1674 17.1671i −2.04132 1.05656i
\(265\) −4.84414 2.33281i −0.297573 0.143304i
\(266\) 24.2003 + 4.07549i 1.48381 + 0.249884i
\(267\) 4.32535 + 8.98167i 0.264707 + 0.549669i
\(268\) −3.16799 + 0.997075i −0.193516 + 0.0609060i
\(269\) 1.69601 1.82787i 0.103408 0.111447i −0.679227 0.733928i \(-0.737685\pi\)
0.782635 + 0.622481i \(0.213875\pi\)
\(270\) 41.5941 22.1355i 2.53134 1.34713i
\(271\) −3.41704 2.32970i −0.207570 0.141519i 0.455073 0.890454i \(-0.349613\pi\)
−0.662644 + 0.748935i \(0.730566\pi\)
\(272\) −2.06281 2.52684i −0.125076 0.153212i
\(273\) −10.2061 9.14649i −0.617702 0.553571i
\(274\) −4.69883 + 4.72578i −0.283866 + 0.285495i
\(275\) 40.7789 23.5437i 2.45906 1.41974i
\(276\) 10.2921 + 25.7893i 0.619514 + 1.55233i
\(277\) 16.5297 + 24.2445i 0.993171 + 1.45671i 0.886671 + 0.462401i \(0.153012\pi\)
0.106500 + 0.994313i \(0.466036\pi\)
\(278\) −26.0898 13.6935i −1.56476 0.821284i
\(279\) 0.215991 0.946318i 0.0129310 0.0566546i
\(280\) 28.7392 + 6.90885i 1.71749 + 0.412883i
\(281\) 4.10942 + 18.0045i 0.245147 + 1.07406i 0.936259 + 0.351312i \(0.114264\pi\)
−0.691111 + 0.722748i \(0.742879\pi\)
\(282\) 8.52715 32.1917i 0.507784 1.91699i
\(283\) 3.72364 12.0717i 0.221347 0.717591i −0.774982 0.631984i \(-0.782241\pi\)
0.996329 0.0856069i \(-0.0272829\pi\)
\(284\) 1.28894 4.26510i 0.0764846 0.253087i
\(285\) 22.7004 + 73.5929i 1.34466 + 4.35927i
\(286\) −10.3206 + 3.64450i −0.610271 + 0.215504i
\(287\) −5.87909 2.70696i −0.347032 0.159787i
\(288\) 23.0135 23.6811i 1.35608 1.39542i
\(289\) −5.96784 + 15.2058i −0.351050 + 0.894460i
\(290\) 27.4277 + 11.8733i 1.61061 + 0.697226i
\(291\) −7.23893 48.0272i −0.424354 2.81540i
\(292\) 7.34095 0.592367i 0.429597 0.0346657i
\(293\) 2.94898i 0.172282i −0.996283 0.0861408i \(-0.972547\pi\)
0.996283 0.0861408i \(-0.0274535\pi\)
\(294\) −2.19756 + 29.3469i −0.128164 + 1.71154i
\(295\) −23.3604 −1.36010
\(296\) −17.1697 4.44310i −0.997970 0.258250i
\(297\) 37.0472 5.58396i 2.14970 0.324014i
\(298\) −3.04088 + 7.02451i −0.176154 + 0.406919i
\(299\) 7.57516 + 2.97303i 0.438083 + 0.171935i
\(300\) 14.3768 + 61.3690i 0.830047 + 3.54314i
\(301\) −4.73981 0.995898i −0.273198 0.0574026i
\(302\) −12.4494 + 4.39622i −0.716380 + 0.252974i
\(303\) −6.35357 + 1.95982i −0.365003 + 0.112589i
\(304\) 15.0260 + 21.5063i 0.861798 + 1.23347i
\(305\) 27.8132 + 8.57923i 1.59258 + 0.491245i
\(306\) 6.50765 + 1.72379i 0.372017 + 0.0985424i
\(307\) −31.7435 + 7.24525i −1.81170 + 0.413508i −0.988119 0.153692i \(-0.950884\pi\)
−0.823580 + 0.567200i \(0.808027\pi\)
\(308\) 19.7188 + 12.7893i 1.12358 + 0.728739i
\(309\) −27.5278 6.28303i −1.56600 0.357429i
\(310\) 0.822435 + 0.431665i 0.0467112 + 0.0245169i
\(311\) 3.00266 2.04718i 0.170266 0.116085i −0.475189 0.879884i \(-0.657620\pi\)
0.645455 + 0.763799i \(0.276668\pi\)
\(312\) −0.673403 14.6356i −0.0381239 0.828579i
\(313\) −2.44313 4.23162i −0.138094 0.239185i 0.788681 0.614802i \(-0.210764\pi\)
−0.926775 + 0.375617i \(0.877431\pi\)
\(314\) −16.4406 16.3468i −0.927797 0.922506i
\(315\) −56.3920 + 23.2658i −3.17733 + 1.31088i
\(316\) 5.37590 + 1.19471i 0.302418 + 0.0672076i
\(317\) −11.8836 + 17.4300i −0.667447 + 0.978965i 0.331917 + 0.943309i \(0.392305\pi\)
−0.999364 + 0.0356562i \(0.988648\pi\)
\(318\) 5.05190 2.68852i 0.283297 0.150765i
\(319\) 17.4210 + 16.1644i 0.975390 + 0.905030i
\(320\) 16.2666 + 27.0902i 0.909328 + 1.51439i
\(321\) 35.4388 17.0664i 1.97800 0.952555i
\(322\) −4.86202 16.7844i −0.270950 0.935357i
\(323\) −2.32068 + 4.81895i −0.129126 + 0.268133i
\(324\) −2.16890 + 14.9701i −0.120494 + 0.831674i
\(325\) 15.9975 + 9.23615i 0.887381 + 0.512330i
\(326\) 15.9370 4.31918i 0.882666 0.239217i
\(327\) 44.5014 + 6.70751i 2.46094 + 0.370926i
\(328\) −2.34122 6.51111i −0.129272 0.359516i
\(329\) −7.31804 + 19.6384i −0.403457 + 1.08270i
\(330\) −8.04856 + 73.3168i −0.443059 + 4.03596i
\(331\) 16.2658 1.21895i 0.894047 0.0669996i 0.380223 0.924895i \(-0.375847\pi\)
0.513825 + 0.857895i \(0.328228\pi\)
\(332\) 9.33547 6.44334i 0.512351 0.353624i
\(333\) 34.0726 13.3725i 1.86717 0.732809i
\(334\) −0.534577 + 15.4708i −0.0292508 + 0.846523i
\(335\) 4.08954 + 5.12812i 0.223435 + 0.280179i
\(336\) −24.0234 + 20.3142i −1.31058 + 1.10823i
\(337\) 2.98493 3.74299i 0.162600 0.203893i −0.693857 0.720113i \(-0.744090\pi\)
0.856456 + 0.516220i \(0.172661\pi\)
\(338\) 10.7068 + 9.16080i 0.582374 + 0.498282i
\(339\) 2.00186 + 0.150019i 0.108726 + 0.00814789i
\(340\) −3.18906 + 5.59730i −0.172951 + 0.303556i
\(341\) 0.502353 + 0.541408i 0.0272040 + 0.0293189i
\(342\) −51.1583 17.7370i −2.76632 0.959108i
\(343\) 3.17899 18.2454i 0.171649 0.985158i
\(344\) −2.79222 4.36030i −0.150546 0.235092i
\(345\) 40.1991 37.2993i 2.16425 2.00813i
\(346\) 17.5808 + 3.27441i 0.945147 + 0.176033i
\(347\) 10.9521 + 0.820744i 0.587937 + 0.0440598i 0.365378 0.930859i \(-0.380940\pi\)
0.222560 + 0.974919i \(0.428559\pi\)
\(348\) −27.4582 + 16.0631i −1.47192 + 0.861072i
\(349\) −14.6065 11.6483i −0.781867 0.623518i 0.149016 0.988835i \(-0.452389\pi\)
−0.930883 + 0.365316i \(0.880961\pi\)
\(350\) −5.23485 39.3194i −0.279814 2.10171i
\(351\) 9.16386 + 11.4911i 0.489131 + 0.613351i
\(352\) 5.02370 + 24.6186i 0.267764 + 1.31217i
\(353\) 4.41040 + 11.2375i 0.234742 + 0.598112i 0.998899 0.0469180i \(-0.0149399\pi\)
−0.764157 + 0.645030i \(0.776845\pi\)
\(354\) 14.7077 20.0480i 0.781707 1.06554i
\(355\) −8.77488 + 0.657586i −0.465722 + 0.0349011i
\(356\) 2.87536 6.05915i 0.152394 0.321134i
\(357\) −6.01021 2.23965i −0.318094 0.118535i
\(358\) 19.5288 31.2780i 1.03213 1.65310i
\(359\) 12.3901 + 1.86751i 0.653926 + 0.0985634i 0.467622 0.883929i \(-0.345111\pi\)
0.186304 + 0.982492i \(0.440349\pi\)
\(360\) −59.9949 25.5651i −3.16201 1.34740i
\(361\) 12.0094 20.8009i 0.632074 1.09478i
\(362\) −3.36512 17.5108i −0.176867 0.920348i
\(363\) −11.2583 + 23.3782i −0.590909 + 1.22704i
\(364\) −0.477227 + 9.20787i −0.0250135 + 0.482624i
\(365\) −6.31081 13.1045i −0.330323 0.685923i
\(366\) −24.8739 + 18.4679i −1.30018 + 0.965331i
\(367\) −20.1609 18.7066i −1.05239 0.976475i −0.0526344 0.998614i \(-0.516762\pi\)
−0.999755 + 0.0221393i \(0.992952\pi\)
\(368\) 9.15480 16.2839i 0.477227 0.848859i
\(369\) 11.7989 + 8.04432i 0.614224 + 0.418771i
\(370\) 4.02117 + 34.7943i 0.209050 + 1.80887i
\(371\) −3.32922 + 1.37355i −0.172845 + 0.0713110i
\(372\) −0.888262 + 0.434040i −0.0460542 + 0.0225039i
\(373\) 14.1057 8.14394i 0.730366 0.421677i −0.0881900 0.996104i \(-0.528108\pi\)
0.818556 + 0.574427i \(0.194775\pi\)
\(374\) −3.87308 + 3.35238i −0.200272 + 0.173347i
\(375\) 54.3421 37.0498i 2.80621 1.91324i
\(376\) −20.4576 + 9.13524i −1.05502 + 0.471114i
\(377\) −2.07456 + 9.08924i −0.106845 + 0.468120i
\(378\) 7.55243 30.6440i 0.388455 1.57616i
\(379\) −11.6165 + 2.65138i −0.596698 + 0.136192i −0.510194 0.860059i \(-0.670427\pi\)
−0.0865035 + 0.996252i \(0.527569\pi\)
\(380\) 28.9420 42.9762i 1.48469 2.20463i
\(381\) 2.86943 9.30248i 0.147006 0.476580i
\(382\) −1.04273 + 0.0420024i −0.0533506 + 0.00214903i
\(383\) −13.9334 + 4.29787i −0.711962 + 0.219611i −0.629519 0.776985i \(-0.716748\pi\)
−0.0824423 + 0.996596i \(0.526272\pi\)
\(384\) −33.4904 3.09600i −1.70905 0.157992i
\(385\) 9.54440 45.4250i 0.486428 2.31507i
\(386\) −6.04229 9.55549i −0.307545 0.486362i
\(387\) 9.94729 + 3.90402i 0.505649 + 0.198453i
\(388\) −22.0881 + 24.0801i −1.12136 + 1.22248i
\(389\) 4.79284 + 31.7984i 0.243007 + 1.61224i 0.694176 + 0.719806i \(0.255769\pi\)
−0.451169 + 0.892439i \(0.648993\pi\)
\(390\) −26.4874 + 11.6466i −1.34124 + 0.589748i
\(391\) 3.80848 0.192603
\(392\) 16.2940 11.2475i 0.822971 0.568083i
\(393\) 11.9467 0.602633
\(394\) −17.9932 + 7.91168i −0.906484 + 0.398584i
\(395\) −1.62098 10.7545i −0.0815606 0.541119i
\(396\) −38.2141 35.0529i −1.92033 1.76148i
\(397\) −9.74630 3.82514i −0.489153 0.191978i 0.107929 0.994159i \(-0.465578\pi\)
−0.597082 + 0.802180i \(0.703673\pi\)
\(398\) −17.1649 27.1451i −0.860397 1.36066i
\(399\) 46.8586 + 21.5755i 2.34586 + 1.08012i
\(400\) 26.0582 33.4539i 1.30291 1.67270i
\(401\) −28.6476 + 8.83663i −1.43060 + 0.441280i −0.910742 0.412976i \(-0.864489\pi\)
−0.519853 + 0.854256i \(0.674013\pi\)
\(402\) −6.97574 + 0.280992i −0.347918 + 0.0140146i
\(403\) −0.0854019 + 0.276866i −0.00425417 + 0.0137917i
\(404\) 3.71031 + 2.49868i 0.184595 + 0.124314i
\(405\) 29.1246 6.64749i 1.44721 0.330317i
\(406\) 18.1842 8.37394i 0.902465 0.415592i
\(407\) −6.19742 + 27.1527i −0.307195 + 1.34591i
\(408\) −2.79579 6.26092i −0.138412 0.309962i
\(409\) −11.9192 + 8.12636i −0.589365 + 0.401823i −0.820957 0.570991i \(-0.806559\pi\)
0.231591 + 0.972813i \(0.425607\pi\)
\(410\) −10.3321 + 8.94306i −0.510267 + 0.441666i
\(411\) −12.1319 + 7.00435i −0.598422 + 0.345499i
\(412\) 8.33987 + 17.0675i 0.410876 + 0.840856i
\(413\) −10.4431 + 11.6529i −0.513872 + 0.573404i
\(414\) 4.42627 + 38.2995i 0.217539 + 1.88232i
\(415\) −18.5093 12.6194i −0.908587 0.619464i
\(416\) −7.37852 + 6.53566i −0.361762 + 0.320437i
\(417\) −45.4036 42.1283i −2.22342 2.06303i
\(418\) 33.0788 24.5597i 1.61794 1.20126i
\(419\) −2.67066 5.54569i −0.130471 0.270925i 0.825492 0.564414i \(-0.190898\pi\)
−0.955962 + 0.293489i \(0.905184\pi\)
\(420\) 54.5095 + 29.8198i 2.65979 + 1.45506i
\(421\) 7.45565 15.4818i 0.363366 0.754538i −0.636494 0.771282i \(-0.719616\pi\)
0.999860 + 0.0167444i \(0.00533015\pi\)
\(422\) 6.60048 + 34.3464i 0.321306 + 1.67196i
\(423\) 23.1197 40.0445i 1.12412 1.94703i
\(424\) −3.54193 1.50929i −0.172011 0.0732978i
\(425\) 8.54857 + 1.28849i 0.414667 + 0.0625010i
\(426\) 4.96032 7.94465i 0.240328 0.384919i
\(427\) 16.7133 10.0388i 0.808812 0.485813i
\(428\) −23.9075 11.3452i −1.15561 0.548393i
\(429\) −22.9433 + 1.71936i −1.10771 + 0.0830116i
\(430\) −6.04861 + 8.24481i −0.291690 + 0.397600i
\(431\) −1.82792 4.65746i −0.0880478 0.224342i 0.880067 0.474850i \(-0.157498\pi\)
−0.968115 + 0.250508i \(0.919402\pi\)
\(432\) 29.0249 17.2032i 1.39646 0.827688i
\(433\) −11.1906 14.0326i −0.537785 0.674361i 0.436493 0.899707i \(-0.356220\pi\)
−0.974279 + 0.225346i \(0.927649\pi\)
\(434\) 0.582992 0.217284i 0.0279845 0.0104300i
\(435\) 49.1189 + 39.1710i 2.35507 + 1.87811i
\(436\) −15.2884 26.1340i −0.732184 1.25159i
\(437\) −30.5458 2.28909i −1.46120 0.109502i
\(438\) 15.2196 + 2.83466i 0.727223 + 0.135445i
\(439\) −22.0379 + 20.4482i −1.05181 + 0.975940i −0.999742 0.0227034i \(-0.992773\pi\)
−0.0520709 + 0.998643i \(0.516582\pi\)
\(440\) 41.7879 26.7598i 1.99216 1.27572i
\(441\) −13.6039 + 38.5309i −0.647804 + 1.83481i
\(442\) −1.89864 0.658274i −0.0903089 0.0313109i
\(443\) 13.5412 + 14.5939i 0.643361 + 0.693378i 0.967569 0.252608i \(-0.0812882\pi\)
−0.324208 + 0.945986i \(0.605098\pi\)
\(444\) −32.3923 18.4555i −1.53727 0.875859i
\(445\) −13.2084 0.989829i −0.626136 0.0469224i
\(446\) 11.3271 + 9.69149i 0.536353 + 0.458906i
\(447\) −10.0321 + 12.5799i −0.474502 + 0.595007i
\(448\) 20.7853 + 3.99621i 0.982015 + 0.188803i
\(449\) −5.89290 7.38946i −0.278103 0.348730i 0.623088 0.782151i \(-0.285878\pi\)
−0.901191 + 0.433421i \(0.857306\pi\)
\(450\) −3.02228 + 87.4652i −0.142471 + 4.12315i
\(451\) −10.1146 + 3.96971i −0.476280 + 0.186926i
\(452\) −0.767172 1.11152i −0.0360847 0.0522816i
\(453\) −27.6756 + 2.07400i −1.30031 + 0.0974450i
\(454\) −1.87101 + 17.0436i −0.0878110 + 0.799897i
\(455\) 17.3048 5.66745i 0.811262 0.265694i
\(456\) 18.6604 + 51.8960i 0.873854 + 2.43025i
\(457\) 25.5861 + 3.85648i 1.19687 + 0.180398i 0.717082 0.696989i \(-0.245477\pi\)
0.479783 + 0.877387i \(0.340715\pi\)
\(458\) −37.4375 + 10.1462i −1.74934 + 0.474100i
\(459\) 5.95704 + 3.43930i 0.278051 + 0.160533i
\(460\) −36.5122 5.28994i −1.70239 0.246645i
\(461\) 3.65201 7.58348i 0.170091 0.353198i −0.798446 0.602066i \(-0.794344\pi\)
0.968537 + 0.248868i \(0.0800586\pi\)
\(462\) 32.9747 + 36.7906i 1.53412 + 1.71165i
\(463\) −12.6419 + 6.08800i −0.587517 + 0.282933i −0.703932 0.710267i \(-0.748574\pi\)
0.116415 + 0.993201i \(0.462860\pi\)
\(464\) 20.0106 + 7.59061i 0.928969 + 0.352385i
\(465\) 1.43127 + 1.32802i 0.0663735 + 0.0615856i
\(466\) 13.9099 7.40254i 0.644362 0.342916i
\(467\) −15.0460 + 22.0684i −0.696244 + 1.02120i 0.301460 + 0.953479i \(0.402526\pi\)
−0.997704 + 0.0677238i \(0.978426\pi\)
\(468\) 4.41323 19.8585i 0.204002 0.917958i
\(469\) 4.38627 + 0.252494i 0.202539 + 0.0116591i
\(470\) 31.3769 + 31.1979i 1.44731 + 1.43905i
\(471\) −24.3676 42.2059i −1.12280 1.94474i
\(472\) −16.7104 + 0.768865i −0.769158 + 0.0353899i
\(473\) −6.71808 + 4.58031i −0.308898 + 0.210603i
\(474\) 10.2501 + 5.37992i 0.470805 + 0.247108i
\(475\) −67.7891 15.4724i −3.11038 0.709924i
\(476\) 1.36647 + 4.09304i 0.0626320 + 0.187604i
\(477\) 7.74676 1.76815i 0.354700 0.0809579i
\(478\) −34.3829 9.10756i −1.57264 0.416570i
\(479\) 7.36720 + 2.27248i 0.336616 + 0.103832i 0.458455 0.888718i \(-0.348403\pi\)
−0.121839 + 0.992550i \(0.538879\pi\)
\(480\) 18.1071 + 63.9073i 0.826472 + 2.91695i
\(481\) −10.4405 + 3.22046i −0.476044 + 0.146840i
\(482\) 3.04059 1.07372i 0.138495 0.0489066i
\(483\) −0.635392 36.7270i −0.0289114 1.67114i
\(484\) 16.9967 3.98180i 0.772579 0.180991i
\(485\) 60.0721 + 23.5766i 2.72774 + 1.07056i
\(486\) 1.58507 3.66155i 0.0719002 0.166091i
\(487\) 13.5994 2.04978i 0.616248 0.0928844i 0.166502 0.986041i \(-0.446753\pi\)
0.449746 + 0.893157i \(0.351515\pi\)
\(488\) 20.1779 + 5.22155i 0.913412 + 0.236368i
\(489\) 34.7092 1.56960
\(490\) −32.3084 22.0248i −1.45955 0.994979i
\(491\) 32.0307i 1.44552i −0.691097 0.722762i \(-0.742872\pi\)
0.691097 0.722762i \(-0.257128\pi\)
\(492\) −1.16986 14.4976i −0.0527415 0.653603i
\(493\) 0.650302 + 4.31447i 0.0292881 + 0.194314i
\(494\) 14.8323 + 6.42084i 0.667337 + 0.288887i
\(495\) −37.4150 + 95.3320i −1.68168 + 4.28485i
\(496\) 0.602519 + 0.281714i 0.0270539 + 0.0126493i
\(497\) −3.59472 + 4.67116i −0.161245 + 0.209530i
\(498\) 22.4835 7.93956i 1.00751 0.355780i
\(499\) −10.4501 33.8785i −0.467813 1.51661i −0.815363 0.578950i \(-0.803462\pi\)
0.347550 0.937662i \(-0.387014\pi\)
\(500\) −42.3565 12.8004i −1.89424 0.572452i
\(501\) −9.59136 + 31.0944i −0.428510 + 1.38920i
\(502\) −6.77549 + 25.5788i −0.302405 + 1.14164i
\(503\) −0.817247 3.58059i −0.0364393 0.159651i 0.953435 0.301599i \(-0.0975204\pi\)
−0.989874 + 0.141948i \(0.954663\pi\)
\(504\) −39.5730 + 18.4987i −1.76272 + 0.823998i
\(505\) 1.96581 8.61280i 0.0874776 0.383264i
\(506\) −25.9754 13.6335i −1.15475 0.606085i
\(507\) 16.6857 + 24.4734i 0.741038 + 1.08690i
\(508\) −6.08289 + 2.42760i −0.269885 + 0.107707i
\(509\) 18.8572 10.8872i 0.835830 0.482567i −0.0200146 0.999800i \(-0.506371\pi\)
0.855845 + 0.517233i \(0.173038\pi\)
\(510\) −9.54796 + 9.60273i −0.422791 + 0.425216i
\(511\) −9.35817 2.71025i −0.413981 0.119894i
\(512\) 12.5276 + 18.8430i 0.553645 + 0.832753i
\(513\) −45.7111 31.1653i −2.01819 1.37598i
\(514\) −12.9830 + 6.90928i −0.572656 + 0.304755i
\(515\) 25.5173 27.5011i 1.12443 1.21184i
\(516\) −3.26752 10.3819i −0.143845 0.457036i
\(517\) 15.2655 + 31.6992i 0.671376 + 1.39413i
\(518\) 19.1541 + 13.5486i 0.841585 + 0.595293i
\(519\) 33.8688 + 16.3104i 1.48668 + 0.715945i
\(520\) 17.2880 + 8.94810i 0.758130 + 0.392400i
\(521\) 6.55582 11.3550i 0.287216 0.497472i −0.685928 0.727669i \(-0.740604\pi\)
0.973144 + 0.230197i \(0.0739370\pi\)
\(522\) −42.6322 + 11.5540i −1.86596 + 0.505706i
\(523\) 5.43322 36.0471i 0.237578 1.57623i −0.478423 0.878130i \(-0.658791\pi\)
0.716001 0.698099i \(-0.245971\pi\)
\(524\) −5.04711 6.25514i −0.220484 0.273257i
\(525\) 10.9993 82.6529i 0.480049 3.60727i
\(526\) 29.9525 + 3.28812i 1.30599 + 0.143369i
\(527\) 0.0101333 + 0.135220i 0.000441415 + 0.00589027i
\(528\) −3.34428 + 52.7105i −0.145541 + 2.29393i
\(529\) −0.434370 1.10676i −0.0188856 0.0481198i
\(530\) −0.262580 + 7.59911i −0.0114057 + 0.330084i
\(531\) 26.9920 21.5254i 1.17135 0.934122i
\(532\) −8.49960 33.6494i −0.368504 1.45889i
\(533\) −3.33265 2.65770i −0.144353 0.115118i
\(534\) 9.16546 10.7123i 0.396628 0.463565i
\(535\) −3.90555 + 52.1159i −0.168852 + 2.25317i
\(536\) 3.09415 + 3.53369i 0.133647 + 0.152632i
\(537\) 56.8201 52.7214i 2.45197 2.27510i
\(538\) −3.33178 1.15516i −0.143643 0.0498023i
\(539\) −18.3927 25.0680i −0.792230 1.07975i
\(540\) −52.3334 41.2471i −2.25207 1.77499i
\(541\) 3.53093 + 3.80544i 0.151807 + 0.163609i 0.804376 0.594120i \(-0.202500\pi\)
−0.652570 + 0.757729i \(0.726309\pi\)
\(542\) −1.07090 + 5.74983i −0.0459993 + 0.246976i
\(543\) 2.80107 37.3777i 0.120206 1.60403i
\(544\) −2.09700 + 4.10887i −0.0899082 + 0.176166i
\(545\) −37.2820 + 46.7501i −1.59698 + 2.00255i
\(546\) −6.03128 + 18.4193i −0.258115 + 0.788272i
\(547\) −26.1484 + 20.8526i −1.11802 + 0.891594i −0.994907 0.100798i \(-0.967860\pi\)
−0.123116 + 0.992392i \(0.539289\pi\)
\(548\) 8.79270 + 3.39298i 0.375606 + 0.144941i
\(549\) −40.0422 + 15.7154i −1.70896 + 0.670718i
\(550\) −53.6924 39.3901i −2.28945 1.67960i
\(551\) −2.62251 34.9950i −0.111723 1.49084i
\(552\) 27.5279 28.0043i 1.17167 1.19194i
\(553\) −6.08936 3.99913i −0.258946 0.170060i
\(554\) 21.9775 35.2001i 0.933735 1.49551i
\(555\) −10.9735 + 72.8045i −0.465800 + 3.09038i
\(556\) −2.87629 + 41.5705i −0.121982 + 1.76298i
\(557\) −20.0051 11.5500i −0.847645 0.489388i 0.0122106 0.999925i \(-0.496113\pi\)
−0.859856 + 0.510537i \(0.829446\pi\)
\(558\) −1.34805 + 0.259059i −0.0570673 + 0.0109668i
\(559\) −2.87386 1.38398i −0.121551 0.0585360i
\(560\) −7.41525 41.1383i −0.313351 1.73841i
\(561\) −9.70136 + 4.67193i −0.409592 + 0.197249i
\(562\) 20.9693 15.5689i 0.884536 0.656733i
\(563\) 18.7431 20.2003i 0.789928 0.851340i −0.201836 0.979419i \(-0.564691\pi\)
0.991764 + 0.128079i \(0.0408812\pi\)
\(564\) −46.5291 + 7.28552i −1.95923 + 0.306776i
\(565\) −1.50253 + 2.20380i −0.0632117 + 0.0927146i
\(566\) −17.7476 + 2.05109i −0.745988 + 0.0862137i
\(567\) 9.70394 17.5000i 0.407527 0.734931i
\(568\) −6.25528 + 0.759199i −0.262466 + 0.0318553i
\(569\) −17.5187 30.3432i −0.734421 1.27206i −0.954977 0.296681i \(-0.904120\pi\)
0.220555 0.975374i \(-0.429213\pi\)
\(570\) 82.3509 71.2796i 3.44930 2.98557i
\(571\) −7.59118 11.1342i −0.317681 0.465952i 0.633872 0.773438i \(-0.281465\pi\)
−0.951553 + 0.307486i \(0.900512\pi\)
\(572\) 10.5930 + 11.2864i 0.442917 + 0.471909i
\(573\) −2.13867 0.488137i −0.0893441 0.0203922i
\(574\) −0.157809 + 9.15193i −0.00658684 + 0.381994i
\(575\) 11.0171 + 48.2691i 0.459445 + 2.01296i
\(576\) −43.7575 16.3129i −1.82323 0.679702i
\(577\) 38.7236 + 11.9446i 1.61208 + 0.497262i 0.964356 0.264609i \(-0.0852429\pi\)
0.647728 + 0.761871i \(0.275719\pi\)
\(578\) 23.0824 0.929791i 0.960103 0.0386742i
\(579\) −7.00492 22.7094i −0.291114 0.943770i
\(580\) −0.241735 42.2664i −0.0100375 1.75502i
\(581\) −14.5694 + 3.59162i −0.604442 + 0.149005i
\(582\) −58.0549 + 36.7103i −2.40645 + 1.52169i
\(583\) −2.20888 + 5.62813i −0.0914824 + 0.233093i
\(584\) −4.94562 9.16634i −0.204651 0.379306i
\(585\) −39.7270 + 5.98788i −1.64251 + 0.247569i
\(586\) −3.81773 + 1.67867i −0.157709 + 0.0693453i
\(587\) 31.3163i 1.29256i 0.763099 + 0.646282i \(0.223677\pi\)
−0.763099 + 0.646282i \(0.776323\pi\)
\(588\) 39.2431 13.8604i 1.61836 0.571592i
\(589\) 1.09062i 0.0449381i
\(590\) 13.2976 + 30.2422i 0.547454 + 1.24505i
\(591\) −40.8564 + 6.15811i −1.68061 + 0.253311i
\(592\) 4.02164 + 24.7570i 0.165289 + 1.01751i
\(593\) 9.87342 25.1571i 0.405453 1.03308i −0.571686 0.820473i \(-0.693710\pi\)
0.977138 0.212604i \(-0.0681944\pi\)
\(594\) −28.3176 44.7824i −1.16188 1.83744i
\(595\) 6.56987 5.42785i 0.269339 0.222520i
\(596\) 10.8249 0.0619107i 0.443404 0.00253596i
\(597\) −19.8995 64.5125i −0.814431 2.64032i
\(598\) −0.463199 11.4991i −0.0189416 0.470233i
\(599\) −13.6947 4.22425i −0.559550 0.172598i 0.00206396 0.999998i \(-0.499343\pi\)
−0.561614 + 0.827400i \(0.689819\pi\)
\(600\) 71.2641 53.5457i 2.90934 2.18599i
\(601\) −8.19008 35.8831i −0.334080 1.46370i −0.811151 0.584837i \(-0.801159\pi\)
0.477071 0.878865i \(-0.341699\pi\)
\(602\) 1.40879 + 6.70302i 0.0574182 + 0.273195i
\(603\) −9.45057 2.15703i −0.384857 0.0878411i
\(604\) 12.7779 + 13.6144i 0.519927 + 0.553960i
\(605\) −19.4211 28.4855i −0.789579 1.15810i
\(606\) 6.15386 + 7.10969i 0.249983 + 0.288811i
\(607\) −13.3672 23.1527i −0.542559 0.939740i −0.998756 0.0498609i \(-0.984122\pi\)
0.456197 0.889879i \(-0.349211\pi\)
\(608\) 19.2886 31.6947i 0.782255 1.28539i
\(609\) 41.4980 6.99098i 1.68158 0.283289i
\(610\) −4.72569 40.8903i −0.191337 1.65560i
\(611\) −7.77516 + 11.4041i −0.314549 + 0.461359i
\(612\) −1.47279 9.40599i −0.0595340 0.380215i
\(613\) −7.96159 + 8.58056i −0.321566 + 0.346565i −0.873060 0.487614i \(-0.837868\pi\)
0.551494 + 0.834179i \(0.314058\pi\)
\(614\) 27.4492 + 36.9707i 1.10776 + 1.49201i
\(615\) −25.8801 + 12.4632i −1.04359 + 0.502565i
\(616\) 5.33230 32.8079i 0.214845 1.32187i
\(617\) −33.7631 16.2595i −1.35925 0.654582i −0.394783 0.918774i \(-0.629180\pi\)
−0.964470 + 0.264193i \(0.914894\pi\)
\(618\) 7.53586 + 39.2137i 0.303137 + 1.57741i
\(619\) 6.13161 + 3.54009i 0.246450 + 0.142288i 0.618138 0.786070i \(-0.287887\pi\)
−0.371688 + 0.928358i \(0.621221\pi\)
\(620\) 0.0906701 1.31044i 0.00364140 0.0526285i
\(621\) −5.87130 + 38.9535i −0.235607 + 1.56315i
\(622\) −4.35949 2.72189i −0.174800 0.109138i
\(623\) −6.39846 + 6.14626i −0.256349 + 0.246245i
\(624\) −18.5638 + 9.20292i −0.743148 + 0.368412i
\(625\) 2.56928 + 34.2847i 0.102771 + 1.37139i
\(626\) −4.08751 + 5.57165i −0.163370 + 0.222688i
\(627\) 80.6175 31.6400i 3.21955 1.26358i
\(628\) −11.8039 + 30.5891i −0.471027 + 1.22064i
\(629\) −3.99779 + 3.18813i −0.159402 + 0.127119i
\(630\) 62.2201 + 59.7608i 2.47891 + 2.38093i
\(631\) −25.4727 + 31.9417i −1.01405 + 1.27158i −0.0520194 + 0.998646i \(0.516566\pi\)
−0.962033 + 0.272935i \(0.912006\pi\)
\(632\) −1.51350 7.63967i −0.0602039 0.303890i
\(633\) −5.49413 + 73.3141i −0.218372 + 2.91397i
\(634\) 29.3293 + 5.46257i 1.16481 + 0.216946i
\(635\) 8.79775 + 9.48172i 0.349128 + 0.376271i
\(636\) −6.35626 5.00975i −0.252042 0.198649i
\(637\) 4.90888 11.1658i 0.194497 0.442405i
\(638\) 11.0096 31.7545i 0.435872 1.25717i
\(639\) 9.53307 8.84540i 0.377122 0.349918i
\(640\) 25.8113 36.4793i 1.02028 1.44197i
\(641\) 1.46392 19.5347i 0.0578214 0.771573i −0.890646 0.454698i \(-0.849747\pi\)
0.948467 0.316875i \(-0.102634\pi\)
\(642\) −42.2671 36.1640i −1.66815 1.42728i
\(643\) 33.7225 + 26.8928i 1.32989 + 1.06055i 0.992889 + 0.119043i \(0.0379826\pi\)
0.336997 + 0.941506i \(0.390589\pi\)
\(644\) −18.9613 + 15.8486i −0.747180 + 0.624523i
\(645\) −16.8054 + 13.4019i −0.661712 + 0.527698i
\(646\) 7.55959 + 0.261214i 0.297428 + 0.0102773i
\(647\) 3.89063 + 9.91316i 0.152956 + 0.389727i 0.986728 0.162383i \(-0.0519181\pi\)
−0.833771 + 0.552110i \(0.813823\pi\)
\(648\) 20.6148 5.71372i 0.809828 0.224456i
\(649\) 1.96310 + 26.1958i 0.0770585 + 1.02827i
\(650\) 2.85069 25.9678i 0.111813 1.01854i
\(651\) 1.30230 0.120280i 0.0510411 0.00471415i
\(652\) −14.6635 18.1732i −0.574266 0.711718i
\(653\) 1.51575 10.0564i 0.0593160 0.393536i −0.939398 0.342830i \(-0.888615\pi\)
0.998714 0.0507064i \(-0.0161473\pi\)
\(654\) −16.6484 61.4294i −0.651003 2.40208i
\(655\) −7.93664 + 13.7467i −0.310110 + 0.537127i
\(656\) −7.09652 + 6.73729i −0.277073 + 0.263047i
\(657\) 19.3670 + 9.32666i 0.755579 + 0.363868i
\(658\) 29.5894 1.70499i 1.15351 0.0664676i
\(659\) −14.5021 30.1140i −0.564923 1.17307i −0.966361 0.257189i \(-0.917204\pi\)
0.401438 0.915886i \(-0.368510\pi\)
\(660\) 99.4969 31.3150i 3.87291 1.21894i
\(661\) 29.7843 32.0998i 1.15847 1.24854i 0.194980 0.980807i \(-0.437536\pi\)
0.963494 0.267731i \(-0.0862737\pi\)
\(662\) −10.8371 20.3637i −0.421197 0.791456i
\(663\) −3.49015 2.37955i −0.135546 0.0924139i
\(664\) −13.6556 8.41785i −0.529940 0.326676i
\(665\) −55.9559 + 39.5851i −2.16988 + 1.53504i
\(666\) −36.7073 36.4980i −1.42238 1.41427i
\(667\) −21.6402 + 12.4940i −0.837912 + 0.483769i
\(668\) 20.3326 8.11447i 0.786693 0.313958i
\(669\) 17.6523 + 25.8912i 0.682479 + 1.00101i
\(670\) 4.31090 8.21340i 0.166545 0.317311i
\(671\) 7.28323 31.9099i 0.281166 1.23187i
\(672\) 39.9737 + 19.5369i 1.54202 + 0.753651i
\(673\) 0.480374 + 2.10466i 0.0185171 + 0.0811286i 0.983342 0.181764i \(-0.0581807\pi\)
−0.964825 + 0.262893i \(0.915324\pi\)
\(674\) −6.54478 1.73362i −0.252095 0.0667767i
\(675\) −26.3576 + 85.4494i −1.01451 + 3.28895i
\(676\) 5.76478 19.0756i 0.221722 0.733678i
\(677\) −1.87805 6.08848i −0.0721792 0.233999i 0.912294 0.409537i \(-0.134310\pi\)
−0.984473 + 0.175538i \(0.943834\pi\)
\(678\) −0.945319 2.67699i −0.0363048 0.102809i
\(679\) 38.6156 19.4262i 1.48193 0.745509i
\(680\) 9.06155 + 0.942341i 0.347495 + 0.0361371i
\(681\) −13.1677 + 33.5507i −0.504587 + 1.28567i
\(682\) 0.414945 0.958532i 0.0158891 0.0367041i
\(683\) 5.75572 + 38.1867i 0.220237 + 1.46117i 0.776473 + 0.630150i \(0.217007\pi\)
−0.556237 + 0.831024i \(0.687755\pi\)
\(684\) 6.15899 + 76.3257i 0.235495 + 2.91839i
\(685\) 18.6129i 0.711164i
\(686\) −25.4299 + 6.27046i −0.970919 + 0.239407i
\(687\) −81.5354 −3.11077
\(688\) −4.05538 + 6.09683i −0.154610 + 0.232439i
\(689\) −2.34537 + 0.353508i −0.0893515 + 0.0134676i
\(690\) −71.1702 30.8093i −2.70940 1.17289i
\(691\) −3.67386 1.44188i −0.139760 0.0548519i 0.294430 0.955673i \(-0.404870\pi\)
−0.434190 + 0.900821i \(0.642965\pi\)
\(692\) −5.76859 24.6238i −0.219289 0.936057i
\(693\) 30.8286 + 61.2813i 1.17108 + 2.32788i
\(694\) −5.17179 14.6457i −0.196319 0.555941i
\(695\) 78.6387 24.2568i 2.98294 0.920114i
\(696\) 36.4254 + 26.4035i 1.38070 + 1.00082i
\(697\) −1.90630 0.588014i −0.0722061 0.0222726i
\(698\) −6.76522 + 25.5401i −0.256068 + 0.966706i
\(699\) 32.2918 7.37040i 1.22139 0.278774i
\(700\) −47.9228 + 29.1591i −1.81131 + 1.10211i
\(701\) 28.1469 + 6.42436i 1.06310 + 0.242645i 0.718086 0.695955i \(-0.245019\pi\)
0.345009 + 0.938599i \(0.387876\pi\)
\(702\) 9.65991 18.4046i 0.364590 0.694638i
\(703\) 33.9804 23.1674i 1.28159 0.873776i
\(704\) 29.0113 20.5174i 1.09341 0.773280i
\(705\) 46.5055 + 80.5499i 1.75150 + 3.03368i
\(706\) 12.0374 12.1065i 0.453035 0.455633i
\(707\) −3.41754 4.83090i −0.128530 0.181685i
\(708\) −34.3262 7.62844i −1.29006 0.286694i
\(709\) 19.3733 28.4154i 0.727579 1.06716i −0.267053 0.963682i \(-0.586050\pi\)
0.994632 0.103480i \(-0.0329978\pi\)
\(710\) 5.84629 + 10.9856i 0.219407 + 0.412281i
\(711\) 11.7827 + 10.9327i 0.441886 + 0.410010i
\(712\) −9.48089 0.273325i −0.355312 0.0102433i
\(713\) −0.699667 + 0.336942i −0.0262027 + 0.0126186i
\(714\) 0.521804 + 9.05566i 0.0195280 + 0.338900i
\(715\) 13.2636 27.5422i 0.496032 1.03002i
\(716\) −51.6088 7.47716i −1.92871 0.279435i
\(717\) −64.7509 37.3840i −2.41817 1.39613i
\(718\) −4.63525 17.1032i −0.172986 0.638286i
\(719\) −17.2199 2.59548i −0.642194 0.0967951i −0.180131 0.983643i \(-0.557652\pi\)
−0.462062 + 0.886847i \(0.652890\pi\)
\(720\) 1.05492 + 92.2216i 0.0393146 + 3.43690i
\(721\) −2.31112 25.0230i −0.0860707 0.931907i
\(722\) −33.7649 3.70664i −1.25660 0.137947i
\(723\) 6.75940 0.506547i 0.251385 0.0188387i
\(724\) −20.7538 + 14.3243i −0.771310 + 0.532357i
\(725\) −52.8010 + 20.7228i −1.96098 + 0.769627i
\(726\) 36.6738 + 1.26723i 1.36109 + 0.0470313i
\(727\) 12.6690 + 15.8864i 0.469867 + 0.589195i 0.959139 0.282937i \(-0.0913087\pi\)
−0.489271 + 0.872132i \(0.662737\pi\)
\(728\) 12.1921 4.62365i 0.451869 0.171364i
\(729\) 19.3760 24.2968i 0.717631 0.899881i
\(730\) −13.3727 + 15.6295i −0.494945 + 0.578474i
\(731\) −1.48864 0.111558i −0.0550594 0.00412613i
\(732\) 38.0675 + 21.6890i 1.40702 + 0.801647i
\(733\) −8.94218 9.63737i −0.330287 0.355965i 0.545974 0.837802i \(-0.316160\pi\)
−0.876260 + 0.481838i \(0.839969\pi\)
\(734\) −12.7411 + 36.7486i −0.470281 + 1.35642i
\(735\) −53.4394 62.4509i −1.97114 2.30353i
\(736\) −26.2923 2.58232i −0.969147 0.0951854i
\(737\) 5.40687 5.01684i 0.199165 0.184798i
\(738\) 3.69777 19.8538i 0.136117 0.730830i
\(739\) 24.9378 + 1.86883i 0.917352 + 0.0687460i 0.525032 0.851083i \(-0.324053\pi\)
0.392320 + 0.919829i \(0.371672\pi\)
\(740\) 42.7554 25.0120i 1.57172 0.919458i
\(741\) 26.5624 + 21.1828i 0.975795 + 0.778171i
\(742\) 3.67330 + 3.52811i 0.134851 + 0.129521i
\(743\) 1.40082 + 1.75658i 0.0513913 + 0.0644426i 0.806863 0.590739i \(-0.201164\pi\)
−0.755472 + 0.655181i \(0.772592\pi\)
\(744\) 1.06754 + 0.902865i 0.0391378 + 0.0331006i
\(745\) −7.81049 19.9008i −0.286154 0.729109i
\(746\) −18.5726 13.6253i −0.679990 0.498858i
\(747\) 33.0149 2.47412i 1.20795 0.0905234i
\(748\) 6.54466 + 3.10576i 0.239296 + 0.113558i
\(749\) 24.2512 + 25.2463i 0.886119 + 0.922478i
\(750\) −78.8979 49.2607i −2.88094 1.79875i
\(751\) 8.47909 + 1.27802i 0.309406 + 0.0466355i 0.301910 0.953336i \(-0.402376\pi\)
0.00749627 + 0.999972i \(0.497614\pi\)
\(752\) 23.4716 + 21.2841i 0.855921 + 0.776150i
\(753\) −27.8115 + 48.1708i −1.01351 + 1.75544i
\(754\) 12.9478 2.48822i 0.471530 0.0906158i
\(755\) 15.9994 33.2231i 0.582278 1.20911i
\(756\) −43.9706 + 7.66640i −1.59920 + 0.278824i
\(757\) 2.91776 + 6.05878i 0.106048 + 0.220210i 0.947240 0.320527i \(-0.103860\pi\)
−0.841192 + 0.540737i \(0.818146\pi\)
\(758\) 10.0450 + 13.5293i 0.364850 + 0.491407i
\(759\) −45.2046 41.9437i −1.64082 1.52246i
\(760\) −72.1115 13.0045i −2.61576 0.471722i
\(761\) 22.5302 + 15.3608i 0.816719 + 0.556830i 0.898068 0.439856i \(-0.144971\pi\)
−0.0813492 + 0.996686i \(0.525923\pi\)
\(762\) −13.6763 + 1.58057i −0.495440 + 0.0572579i
\(763\) 6.65384 + 39.4967i 0.240885 + 1.42988i
\(764\) 0.647935 + 1.32600i 0.0234415 + 0.0479729i
\(765\) −16.2834 + 9.40122i −0.588728 + 0.339902i
\(766\) 13.4954 + 15.5915i 0.487608 + 0.563344i
\(767\) −8.51469 + 5.80522i −0.307448 + 0.209614i
\(768\) 15.0559 + 45.1187i 0.543283 + 1.62808i
\(769\) −1.60725 + 7.04182i −0.0579589 + 0.253934i −0.995604 0.0936586i \(-0.970144\pi\)
0.937645 + 0.347593i \(0.113001\pi\)
\(770\) −64.2399 + 13.5015i −2.31504 + 0.486560i
\(771\) −30.1401 + 6.87929i −1.08547 + 0.247751i
\(772\) −8.93096 + 13.2616i −0.321432 + 0.477297i
\(773\) −4.38225 +