Properties

Label 441.2.y.a.151.5
Level $441$
Weight $2$
Character 441.151
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 151.5
Character \(\chi\) \(=\) 441.151
Dual form 441.2.y.a.184.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.24153 + 1.07946i) q^{2} +(1.53042 - 0.811056i) q^{3} +(2.61224 - 3.27565i) q^{4} +(0.419571 + 0.389305i) q^{5} +(-2.55498 + 3.47004i) q^{6} +(1.54580 - 2.14721i) q^{7} +(-1.21225 + 5.31121i) q^{8} +(1.68438 - 2.48251i) q^{9} +O(q^{10})\) \(q+(-2.24153 + 1.07946i) q^{2} +(1.53042 - 0.811056i) q^{3} +(2.61224 - 3.27565i) q^{4} +(0.419571 + 0.389305i) q^{5} +(-2.55498 + 3.47004i) q^{6} +(1.54580 - 2.14721i) q^{7} +(-1.21225 + 5.31121i) q^{8} +(1.68438 - 2.48251i) q^{9} +(-1.36072 - 0.419728i) q^{10} +(3.73601 + 2.54717i) q^{11} +(1.34110 - 7.13179i) q^{12} +(-4.93555 - 3.36500i) q^{13} +(-1.14713 + 6.48167i) q^{14} +(0.957869 + 0.255505i) q^{15} +(-1.15138 - 5.04450i) q^{16} +(1.91146 - 0.288107i) q^{17} +(-1.09580 + 7.38286i) q^{18} +(2.20619 + 3.82124i) q^{19} +(2.37125 - 0.357408i) q^{20} +(0.624221 - 4.53986i) q^{21} +(-11.1240 - 1.67667i) q^{22} +(-1.88123 - 4.79329i) q^{23} +(2.45244 + 9.11159i) q^{24} +(-0.349169 - 4.65934i) q^{25} +(14.6956 + 2.21500i) q^{26} +(0.564351 - 5.16541i) q^{27} +(-2.99549 - 10.6725i) q^{28} +(-9.79717 + 1.47669i) q^{29} +(-2.42290 + 0.461263i) q^{30} +4.16985 q^{31} +(1.23291 + 1.54602i) q^{32} +(7.78357 + 0.868129i) q^{33} +(-3.97360 + 2.70916i) q^{34} +(1.48449 - 0.299119i) q^{35} +(-3.73183 - 12.0023i) q^{36} +(0.224889 - 0.573007i) q^{37} +(-9.07015 - 6.18392i) q^{38} +(-10.2827 - 1.14686i) q^{39} +(-2.57631 + 1.75650i) q^{40} +(0.993197 - 0.306361i) q^{41} +(3.50141 + 10.8501i) q^{42} +(11.2865 + 3.48143i) q^{43} +(18.1030 - 5.58403i) q^{44} +(1.67317 - 0.385854i) q^{45} +(9.39101 + 8.71359i) q^{46} +(3.09459 - 1.49028i) q^{47} +(-5.85346 - 6.78639i) q^{48} +(-2.22100 - 6.63831i) q^{49} +(5.81226 + 10.0671i) q^{50} +(2.69167 - 1.99123i) q^{51} +(-23.9154 + 7.37692i) q^{52} +(3.39372 + 8.64705i) q^{53} +(4.31087 + 12.1876i) q^{54} +(0.575897 + 2.52317i) q^{55} +(9.53038 + 10.8130i) q^{56} +(6.47564 + 4.05876i) q^{57} +(20.3666 - 13.8857i) q^{58} +(0.182579 + 0.799930i) q^{59} +(3.33913 - 2.47020i) q^{60} +(5.54825 + 6.95728i) q^{61} +(-9.34684 + 4.50120i) q^{62} +(-2.72676 - 7.45418i) q^{63} +(4.89116 + 2.35546i) q^{64} +(-0.760803 - 3.33329i) q^{65} +(-18.3842 + 6.45615i) q^{66} +4.43677 q^{67} +(4.04946 - 7.01387i) q^{68} +(-6.76669 - 5.80997i) q^{69} +(-3.00465 + 2.27294i) q^{70} +(-4.84322 + 6.07321i) q^{71} +(11.1433 + 11.9555i) q^{72} +(5.43945 - 3.70855i) q^{73} +(0.114446 + 1.52717i) q^{74} +(-4.31336 - 6.84755i) q^{75} +(18.2801 + 2.75529i) q^{76} +(11.2444 - 4.08458i) q^{77} +(24.2869 - 8.52905i) q^{78} -12.7716 q^{79} +(1.48077 - 2.56477i) q^{80} +(-3.32574 - 8.36298i) q^{81} +(-1.89558 + 1.75884i) q^{82} +(2.38490 - 1.62599i) q^{83} +(-13.2404 - 13.9039i) q^{84} +(0.914156 + 0.623261i) q^{85} +(-29.0572 + 4.37967i) q^{86} +(-13.7961 + 10.2060i) q^{87} +(-18.0575 + 16.7549i) q^{88} +(-0.899651 - 12.0050i) q^{89} +(-3.33395 + 2.67104i) q^{90} +(-14.8547 + 5.39603i) q^{91} +(-20.6153 - 6.35898i) q^{92} +(6.38162 - 3.38198i) q^{93} +(-5.32792 + 6.68100i) q^{94} +(-0.561973 + 2.46217i) q^{95} +(3.14079 + 1.36611i) q^{96} +(-4.39447 + 7.61144i) q^{97} +(12.1443 + 12.4825i) q^{98} +(12.6162 - 4.98430i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} + O(q^{10}) \) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.24153 + 1.07946i −1.58500 + 0.763297i −0.998898 0.0469388i \(-0.985053\pi\)
−0.586104 + 0.810236i \(0.699339\pi\)
\(3\) 1.53042 0.811056i 0.883589 0.468263i
\(4\) 2.61224 3.27565i 1.30612 1.63782i
\(5\) 0.419571 + 0.389305i 0.187638 + 0.174103i 0.768398 0.639972i \(-0.221054\pi\)
−0.580760 + 0.814075i \(0.697245\pi\)
\(6\) −2.55498 + 3.47004i −1.04307 + 1.41664i
\(7\) 1.54580 2.14721i 0.584258 0.811568i
\(8\) −1.21225 + 5.31121i −0.428595 + 1.87780i
\(9\) 1.68438 2.48251i 0.561459 0.827504i
\(10\) −1.36072 0.419728i −0.430299 0.132730i
\(11\) 3.73601 + 2.54717i 1.12645 + 0.768000i 0.975382 0.220523i \(-0.0707764\pi\)
0.151068 + 0.988523i \(0.451729\pi\)
\(12\) 1.34110 7.13179i 0.387141 2.05877i
\(13\) −4.93555 3.36500i −1.36888 0.933283i −0.999993 0.00380730i \(-0.998788\pi\)
−0.368882 0.929476i \(-0.620260\pi\)
\(14\) −1.14713 + 6.48167i −0.306582 + 1.73230i
\(15\) 0.957869 + 0.255505i 0.247321 + 0.0659712i
\(16\) −1.15138 5.04450i −0.287844 1.26113i
\(17\) 1.91146 0.288107i 0.463598 0.0698761i 0.0869094 0.996216i \(-0.472301\pi\)
0.376688 + 0.926340i \(0.377063\pi\)
\(18\) −1.09580 + 7.38286i −0.258283 + 1.74016i
\(19\) 2.20619 + 3.82124i 0.506136 + 0.876652i 0.999975 + 0.00709927i \(0.00225979\pi\)
−0.493839 + 0.869553i \(0.664407\pi\)
\(20\) 2.37125 0.357408i 0.530227 0.0799189i
\(21\) 0.624221 4.53986i 0.136216 0.990679i
\(22\) −11.1240 1.67667i −2.37164 0.357467i
\(23\) −1.88123 4.79329i −0.392263 0.999469i −0.981492 0.191503i \(-0.938664\pi\)
0.589229 0.807966i \(-0.299432\pi\)
\(24\) 2.45244 + 9.11159i 0.500601 + 1.85990i
\(25\) −0.349169 4.65934i −0.0698338 0.931867i
\(26\) 14.6956 + 2.21500i 2.88204 + 0.434398i
\(27\) 0.564351 5.16541i 0.108609 0.994085i
\(28\) −2.99549 10.6725i −0.566094 2.01692i
\(29\) −9.79717 + 1.47669i −1.81929 + 0.274214i −0.968085 0.250622i \(-0.919365\pi\)
−0.851204 + 0.524835i \(0.824127\pi\)
\(30\) −2.42290 + 0.461263i −0.442360 + 0.0842146i
\(31\) 4.16985 0.748926 0.374463 0.927242i \(-0.377827\pi\)
0.374463 + 0.927242i \(0.377827\pi\)
\(32\) 1.23291 + 1.54602i 0.217950 + 0.273301i
\(33\) 7.78357 + 0.868129i 1.35494 + 0.151122i
\(34\) −3.97360 + 2.70916i −0.681467 + 0.464616i
\(35\) 1.48449 0.299119i 0.250925 0.0505603i
\(36\) −3.73183 12.0023i −0.621972 2.00039i
\(37\) 0.224889 0.573007i 0.0369714 0.0942017i −0.911196 0.411974i \(-0.864839\pi\)
0.948167 + 0.317772i \(0.102935\pi\)
\(38\) −9.07015 6.18392i −1.47137 1.00316i
\(39\) −10.2827 1.14686i −1.64655 0.183645i
\(40\) −2.57631 + 1.75650i −0.407350 + 0.277727i
\(41\) 0.993197 0.306361i 0.155111 0.0478455i −0.216227 0.976343i \(-0.569375\pi\)
0.371338 + 0.928498i \(0.378899\pi\)
\(42\) 3.50141 + 10.8501i 0.540279 + 1.67420i
\(43\) 11.2865 + 3.48143i 1.72118 + 0.530913i 0.988704 0.149881i \(-0.0478891\pi\)
0.732475 + 0.680794i \(0.238365\pi\)
\(44\) 18.1030 5.58403i 2.72913 0.841824i
\(45\) 1.67317 0.385854i 0.249422 0.0575198i
\(46\) 9.39101 + 8.71359i 1.38463 + 1.28475i
\(47\) 3.09459 1.49028i 0.451392 0.217379i −0.194354 0.980932i \(-0.562261\pi\)
0.645746 + 0.763553i \(0.276547\pi\)
\(48\) −5.85346 6.78639i −0.844875 0.979530i
\(49\) −2.22100 6.63831i −0.317286 0.948330i
\(50\) 5.81226 + 10.0671i 0.821978 + 1.42371i
\(51\) 2.69167 1.99123i 0.376909 0.278827i
\(52\) −23.9154 + 7.37692i −3.31647 + 1.02299i
\(53\) 3.39372 + 8.64705i 0.466163 + 1.18776i 0.949901 + 0.312551i \(0.101183\pi\)
−0.483738 + 0.875213i \(0.660721\pi\)
\(54\) 4.31087 + 12.1876i 0.586636 + 1.65853i
\(55\) 0.575897 + 2.52317i 0.0776539 + 0.340224i
\(56\) 9.53038 + 10.8130i 1.27355 + 1.44495i
\(57\) 6.47564 + 4.05876i 0.857720 + 0.537596i
\(58\) 20.3666 13.8857i 2.67427 1.82329i
\(59\) 0.182579 + 0.799930i 0.0237697 + 0.104142i 0.985421 0.170132i \(-0.0544195\pi\)
−0.961651 + 0.274274i \(0.911562\pi\)
\(60\) 3.33913 2.47020i 0.431080 0.318901i
\(61\) 5.54825 + 6.95728i 0.710380 + 0.890789i 0.997751 0.0670307i \(-0.0213525\pi\)
−0.287371 + 0.957819i \(0.592781\pi\)
\(62\) −9.34684 + 4.50120i −1.18705 + 0.571653i
\(63\) −2.72676 7.45418i −0.343540 0.939138i
\(64\) 4.89116 + 2.35546i 0.611394 + 0.294432i
\(65\) −0.760803 3.33329i −0.0943660 0.413444i
\(66\) −18.3842 + 6.45615i −2.26294 + 0.794697i
\(67\) 4.43677 0.542038 0.271019 0.962574i \(-0.412639\pi\)
0.271019 + 0.962574i \(0.412639\pi\)
\(68\) 4.04946 7.01387i 0.491069 0.850557i
\(69\) −6.76669 5.80997i −0.814614 0.699438i
\(70\) −3.00465 + 2.27294i −0.359124 + 0.271668i
\(71\) −4.84322 + 6.07321i −0.574785 + 0.720757i −0.981213 0.192925i \(-0.938203\pi\)
0.406429 + 0.913683i \(0.366774\pi\)
\(72\) 11.1433 + 11.9555i 1.31325 + 1.40897i
\(73\) 5.43945 3.70855i 0.636639 0.434053i −0.201516 0.979485i \(-0.564587\pi\)
0.838155 + 0.545432i \(0.183634\pi\)
\(74\) 0.114446 + 1.52717i 0.0133040 + 0.177530i
\(75\) −4.31336 6.84755i −0.498063 0.790687i
\(76\) 18.2801 + 2.75529i 2.09687 + 0.316053i
\(77\) 11.2444 4.08458i 1.28142 0.465481i
\(78\) 24.2869 8.52905i 2.74995 0.965725i
\(79\) −12.7716 −1.43692 −0.718460 0.695569i \(-0.755152\pi\)
−0.718460 + 0.695569i \(0.755152\pi\)
\(80\) 1.48077 2.56477i 0.165555 0.286750i
\(81\) −3.32574 8.36298i −0.369527 0.929220i
\(82\) −1.89558 + 1.75884i −0.209332 + 0.194231i
\(83\) 2.38490 1.62599i 0.261776 0.178476i −0.425319 0.905044i \(-0.639838\pi\)
0.687095 + 0.726568i \(0.258886\pi\)
\(84\) −13.2404 13.9039i −1.44464 1.51704i
\(85\) 0.914156 + 0.623261i 0.0991542 + 0.0676022i
\(86\) −29.0572 + 4.37967i −3.13332 + 0.472271i
\(87\) −13.7961 + 10.2060i −1.47910 + 1.09420i
\(88\) −18.0575 + 16.7549i −1.92494 + 1.78608i
\(89\) −0.899651 12.0050i −0.0953628 1.27253i −0.815525 0.578722i \(-0.803551\pi\)
0.720162 0.693806i \(-0.244068\pi\)
\(90\) −3.33395 + 2.67104i −0.351429 + 0.281552i
\(91\) −14.8547 + 5.39603i −1.55720 + 0.565658i
\(92\) −20.6153 6.35898i −2.14930 0.662970i
\(93\) 6.38162 3.38198i 0.661743 0.350695i
\(94\) −5.32792 + 6.68100i −0.549533 + 0.689092i
\(95\) −0.561973 + 2.46217i −0.0576572 + 0.252613i
\(96\) 3.14079 + 1.36611i 0.320555 + 0.139428i
\(97\) −4.39447 + 7.61144i −0.446191 + 0.772825i −0.998134 0.0610566i \(-0.980553\pi\)
0.551944 + 0.833881i \(0.313886\pi\)
\(98\) 12.1443 + 12.4825i 1.22676 + 1.26092i
\(99\) 12.6162 4.98430i 1.26798 0.500941i
\(100\) −16.1744 11.0275i −1.61744 1.10275i
\(101\) −3.67911 + 1.13485i −0.366085 + 0.112922i −0.472339 0.881417i \(-0.656590\pi\)
0.106255 + 0.994339i \(0.466114\pi\)
\(102\) −3.88401 + 7.36896i −0.384574 + 0.729636i
\(103\) −4.14170 3.84293i −0.408094 0.378656i 0.449245 0.893409i \(-0.351693\pi\)
−0.857338 + 0.514753i \(0.827884\pi\)
\(104\) 23.8554 22.1345i 2.33921 2.17047i
\(105\) 2.02930 1.66178i 0.198039 0.162174i
\(106\) −16.9413 15.7192i −1.64549 1.52679i
\(107\) 0.218205 + 2.91174i 0.0210946 + 0.281488i 0.997769 + 0.0667622i \(0.0212669\pi\)
−0.976674 + 0.214726i \(0.931114\pi\)
\(108\) −15.4458 15.3419i −1.48628 1.47628i
\(109\) −0.660321 + 8.81137i −0.0632472 + 0.843976i 0.871893 + 0.489697i \(0.162893\pi\)
−0.935140 + 0.354279i \(0.884726\pi\)
\(110\) −4.01456 5.03410i −0.382773 0.479983i
\(111\) −0.120566 1.05934i −0.0114436 0.100548i
\(112\) −12.6114 5.32555i −1.19166 0.503218i
\(113\) 0.150536 + 2.00877i 0.0141613 + 0.188969i 0.999798 + 0.0200905i \(0.00639543\pi\)
−0.985637 + 0.168878i \(0.945986\pi\)
\(114\) −18.8966 2.10761i −1.76983 0.197396i
\(115\) 1.07674 2.74350i 0.100407 0.255832i
\(116\) −20.7555 + 35.9495i −1.92710 + 3.33783i
\(117\) −16.6670 + 6.58464i −1.54086 + 0.608750i
\(118\) −1.27275 1.59598i −0.117166 0.146922i
\(119\) 2.33611 4.54966i 0.214151 0.417067i
\(120\) −2.51822 + 4.77771i −0.229881 + 0.436143i
\(121\) 3.45096 + 8.79289i 0.313723 + 0.799354i
\(122\) −19.9467 9.60583i −1.80589 0.869671i
\(123\) 1.27153 1.27440i 0.114650 0.114909i
\(124\) 10.8926 13.6589i 0.978188 1.22661i
\(125\) 3.45171 4.32831i 0.308731 0.387136i
\(126\) 14.1586 + 13.7653i 1.26135 + 1.22631i
\(127\) −0.869742 1.09062i −0.0771771 0.0967770i 0.741744 0.670683i \(-0.233999\pi\)
−0.818921 + 0.573906i \(0.805427\pi\)
\(128\) −17.4612 −1.54337
\(129\) 20.0968 3.82594i 1.76942 0.336855i
\(130\) 5.30354 + 6.65042i 0.465151 + 0.583281i
\(131\) −2.83716 0.875148i −0.247884 0.0764620i 0.168323 0.985732i \(-0.446165\pi\)
−0.416207 + 0.909270i \(0.636641\pi\)
\(132\) 23.1762 23.2284i 2.01723 2.02178i
\(133\) 11.6153 + 1.16972i 1.00718 + 0.101427i
\(134\) −9.94516 + 4.78934i −0.859131 + 0.413736i
\(135\) 2.24771 1.94756i 0.193452 0.167619i
\(136\) −0.786974 + 10.5014i −0.0674825 + 0.900491i
\(137\) −0.154902 + 0.143729i −0.0132342 + 0.0122796i −0.686762 0.726882i \(-0.740969\pi\)
0.673528 + 0.739162i \(0.264778\pi\)
\(138\) 21.4394 + 5.71882i 1.82504 + 0.486819i
\(139\) −11.3015 + 3.48604i −0.958579 + 0.295682i −0.734287 0.678840i \(-0.762483\pi\)
−0.224292 + 0.974522i \(0.572007\pi\)
\(140\) 2.89805 5.64404i 0.244930 0.477009i
\(141\) 3.52733 4.79063i 0.297055 0.403444i
\(142\) 4.30042 18.8414i 0.360883 1.58113i
\(143\) −9.86804 25.1434i −0.825207 2.10259i
\(144\) −14.4624 5.63855i −1.20520 0.469879i
\(145\) −4.68549 3.19452i −0.389109 0.265290i
\(146\) −8.18944 + 14.1845i −0.677763 + 1.17392i
\(147\) −8.78311 8.35805i −0.724418 0.689361i
\(148\) −1.28950 2.23349i −0.105997 0.183591i
\(149\) −0.530285 + 7.07616i −0.0434426 + 0.579701i 0.932429 + 0.361354i \(0.117686\pi\)
−0.975871 + 0.218347i \(0.929934\pi\)
\(150\) 17.0602 + 10.6929i 1.39296 + 0.873070i
\(151\) −3.53276 0.532477i −0.287492 0.0433324i 0.00371324 0.999993i \(-0.498818\pi\)
−0.291205 + 0.956661i \(0.594056\pi\)
\(152\) −22.9699 + 7.08527i −1.86310 + 0.574691i
\(153\) 2.50440 5.23051i 0.202468 0.422862i
\(154\) −20.7956 + 21.2937i −1.67576 + 1.71589i
\(155\) 1.74955 + 1.62334i 0.140527 + 0.130390i
\(156\) −30.6175 + 30.6865i −2.45136 + 2.45689i
\(157\) 1.37954 + 6.04416i 0.110099 + 0.482376i 0.999673 + 0.0255840i \(0.00814453\pi\)
−0.889573 + 0.456792i \(0.848998\pi\)
\(158\) 28.6280 13.7865i 2.27752 1.09680i
\(159\) 12.2071 + 10.4811i 0.968082 + 0.831208i
\(160\) −0.0845804 + 1.12865i −0.00668667 + 0.0892274i
\(161\) −13.2002 3.37008i −1.04032 0.265600i
\(162\) 16.4823 + 15.1559i 1.29497 + 1.19076i
\(163\) −2.42705 + 2.25197i −0.190101 + 0.176388i −0.769481 0.638669i \(-0.779485\pi\)
0.579380 + 0.815058i \(0.303295\pi\)
\(164\) 1.59094 4.05365i 0.124232 0.316537i
\(165\) 2.92779 + 3.39443i 0.227928 + 0.264256i
\(166\) −3.59062 + 6.21913i −0.278686 + 0.482698i
\(167\) −8.01911 + 20.4324i −0.620538 + 1.58110i 0.181212 + 0.983444i \(0.441998\pi\)
−0.801749 + 0.597660i \(0.796097\pi\)
\(168\) 23.3555 + 8.81881i 1.80191 + 0.680386i
\(169\) 8.28699 + 21.1149i 0.637461 + 1.62422i
\(170\) −2.72190 0.410260i −0.208760 0.0314655i
\(171\) 13.2023 + 0.959505i 1.00961 + 0.0733752i
\(172\) 40.8870 27.8763i 3.11761 2.12555i
\(173\) 2.07981 2.60801i 0.158125 0.198283i −0.696457 0.717598i \(-0.745241\pi\)
0.854583 + 0.519315i \(0.173813\pi\)
\(174\) 19.9074 37.7695i 1.50918 2.86330i
\(175\) −10.5443 6.45267i −0.797075 0.487776i
\(176\) 8.54765 21.7791i 0.644304 1.64166i
\(177\) 0.928211 + 1.07615i 0.0697686 + 0.0808883i
\(178\) 14.9756 + 25.9385i 1.12247 + 1.94417i
\(179\) −3.02315 + 0.455667i −0.225961 + 0.0340582i −0.261047 0.965326i \(-0.584068\pi\)
0.0350857 + 0.999384i \(0.488830\pi\)
\(180\) 3.10681 6.48866i 0.231568 0.483636i
\(181\) 19.3567 + 9.32167i 1.43877 + 0.692874i 0.980605 0.195994i \(-0.0627932\pi\)
0.458163 + 0.888868i \(0.348507\pi\)
\(182\) 27.4725 28.1305i 2.03640 2.08517i
\(183\) 14.1339 + 6.14764i 1.04481 + 0.454446i
\(184\) 27.7387 4.18093i 2.04492 0.308222i
\(185\) 0.317431 0.152867i 0.0233380 0.0112390i
\(186\) −10.6539 + 14.4695i −0.781180 + 1.06096i
\(187\) 7.87510 + 3.79245i 0.575884 + 0.277331i
\(188\) 3.20219 14.0297i 0.233544 1.02322i
\(189\) −10.2188 9.19648i −0.743312 0.668945i
\(190\) −1.39814 6.12565i −0.101432 0.444402i
\(191\) −2.04579 + 8.96319i −0.148028 + 0.648554i 0.845404 + 0.534128i \(0.179360\pi\)
−0.993432 + 0.114426i \(0.963497\pi\)
\(192\) 9.39593 0.362159i 0.678093 0.0261366i
\(193\) −2.39589 + 10.4971i −0.172460 + 0.755595i 0.812521 + 0.582931i \(0.198094\pi\)
−0.984981 + 0.172663i \(0.944763\pi\)
\(194\) 1.63406 21.8050i 0.117318 1.56550i
\(195\) −3.86784 4.48429i −0.276981 0.321127i
\(196\) −27.5465 10.0656i −1.96761 0.718974i
\(197\) −8.41542 −0.599574 −0.299787 0.954006i \(-0.596916\pi\)
−0.299787 + 0.954006i \(0.596916\pi\)
\(198\) −22.8993 + 24.7912i −1.62738 + 1.76184i
\(199\) 5.75768 + 5.34235i 0.408151 + 0.378709i 0.857359 0.514718i \(-0.172103\pi\)
−0.449208 + 0.893427i \(0.648294\pi\)
\(200\) 25.1700 + 3.79377i 1.77979 + 0.268260i
\(201\) 6.79013 3.59847i 0.478939 0.253816i
\(202\) 7.02180 6.51528i 0.494052 0.458413i
\(203\) −11.9737 + 23.3192i −0.840390 + 1.63669i
\(204\) 0.508740 14.0185i 0.0356189 0.981493i
\(205\) 0.535985 + 0.258117i 0.0374348 + 0.0180277i
\(206\) 13.4321 + 4.14324i 0.935856 + 0.288673i
\(207\) −15.0681 3.40354i −1.04730 0.236562i
\(208\) −11.2921 + 28.7718i −0.782966 + 1.99496i
\(209\) −1.49098 + 19.8957i −0.103133 + 1.37622i
\(210\) −2.75490 + 5.91550i −0.190106 + 0.408208i
\(211\) 1.20247 + 16.0459i 0.0827818 + 1.10465i 0.871665 + 0.490103i \(0.163041\pi\)
−0.788883 + 0.614543i \(0.789340\pi\)
\(212\) 37.1899 + 11.4716i 2.55421 + 0.787870i
\(213\) −2.48646 + 13.2227i −0.170369 + 0.906004i
\(214\) −3.63223 6.29121i −0.248294 0.430058i
\(215\) 3.38016 + 5.85461i 0.230525 + 0.399281i
\(216\) 26.7505 + 9.25916i 1.82014 + 0.630006i
\(217\) 6.44575 8.95353i 0.437566 0.607805i
\(218\) −8.03143 20.4637i −0.543957 1.38598i
\(219\) 5.31680 10.0873i 0.359276 0.681639i
\(220\) 9.76938 + 4.70469i 0.658652 + 0.317190i
\(221\) −10.4036 5.01011i −0.699821 0.337016i
\(222\) 1.41377 + 2.24439i 0.0948861 + 0.150634i
\(223\) −3.77503 9.61861i −0.252794 0.644110i 0.746991 0.664834i \(-0.231498\pi\)
−0.999785 + 0.0207247i \(0.993403\pi\)
\(224\) 5.22547 0.257476i 0.349141 0.0172033i
\(225\) −12.1550 6.98126i −0.810333 0.465418i
\(226\) −2.50582 4.34021i −0.166685 0.288707i
\(227\) −7.66204 13.2710i −0.508548 0.880830i −0.999951 0.00989810i \(-0.996849\pi\)
0.491403 0.870932i \(-0.336484\pi\)
\(228\) 30.2110 10.6095i 2.00077 0.702628i
\(229\) −27.8137 8.57938i −1.83798 0.566941i −0.999767 0.0215955i \(-0.993125\pi\)
−0.838211 0.545346i \(-0.816398\pi\)
\(230\) 0.547954 + 7.31194i 0.0361310 + 0.482135i
\(231\) 13.8959 15.3710i 0.914283 1.01134i
\(232\) 4.03362 53.8250i 0.264820 3.53378i
\(233\) −9.65982 + 24.6128i −0.632836 + 1.61244i 0.148916 + 0.988850i \(0.452422\pi\)
−0.781752 + 0.623589i \(0.785674\pi\)
\(234\) 30.2517 32.7511i 1.97762 2.14101i
\(235\) 1.87857 + 0.579463i 0.122545 + 0.0378000i
\(236\) 3.09723 + 1.49155i 0.201612 + 0.0970914i
\(237\) −19.5460 + 10.3585i −1.26965 + 0.672856i
\(238\) −0.325275 + 12.7200i −0.0210844 + 0.824513i
\(239\) 7.75784 7.19822i 0.501813 0.465614i −0.388183 0.921582i \(-0.626897\pi\)
0.889996 + 0.455968i \(0.150707\pi\)
\(240\) 0.186031 5.12616i 0.0120083 0.330892i
\(241\) −3.45434 0.520658i −0.222514 0.0335385i 0.0368391 0.999321i \(-0.488271\pi\)
−0.259353 + 0.965783i \(0.583509\pi\)
\(242\) −17.2270 15.9844i −1.10740 1.02751i
\(243\) −11.8726 10.1015i −0.761630 0.648013i
\(244\) 37.2829 2.38680
\(245\) 1.65246 3.64989i 0.105572 0.233183i
\(246\) −1.47452 + 4.22918i −0.0940117 + 0.269643i
\(247\) 1.96970 26.2838i 0.125329 1.67240i
\(248\) −5.05489 + 22.1469i −0.320986 + 1.40633i
\(249\) 2.33112 4.42274i 0.147729 0.280280i
\(250\) −3.06487 + 13.4281i −0.193839 + 0.849265i
\(251\) −0.522967 2.29127i −0.0330094 0.144624i 0.955738 0.294220i \(-0.0950598\pi\)
−0.988747 + 0.149596i \(0.952203\pi\)
\(252\) −31.5402 10.5402i −1.98685 0.663970i
\(253\) 5.18103 22.6996i 0.325729 1.42711i
\(254\) 3.12684 + 1.50581i 0.196195 + 0.0944827i
\(255\) 1.90454 + 0.212420i 0.119267 + 0.0133023i
\(256\) 29.3575 14.1378i 1.83484 0.883614i
\(257\) 20.7012 3.12020i 1.29130 0.194633i 0.532767 0.846262i \(-0.321152\pi\)
0.758538 + 0.651629i \(0.225914\pi\)
\(258\) −40.9176 + 30.2697i −2.54742 + 1.88451i
\(259\) −0.882731 1.36864i −0.0548503 0.0850429i
\(260\) −12.9061 6.21524i −0.800402 0.385453i
\(261\) −12.8362 + 26.8089i −0.794543 + 1.65943i
\(262\) 7.30427 1.10094i 0.451259 0.0680164i
\(263\) −6.63331 11.4892i −0.409027 0.708456i 0.585754 0.810489i \(-0.300799\pi\)
−0.994781 + 0.102033i \(0.967465\pi\)
\(264\) −14.0464 + 40.2878i −0.864499 + 2.47954i
\(265\) −1.94244 + 4.94925i −0.119323 + 0.304030i
\(266\) −27.2988 + 9.91638i −1.67380 + 0.608012i
\(267\) −11.1136 17.6431i −0.680140 1.07974i
\(268\) 11.5899 14.5333i 0.707966 0.887762i
\(269\) 13.7572 9.37951i 0.838792 0.571879i −0.0659578 0.997822i \(-0.521010\pi\)
0.904750 + 0.425944i \(0.140058\pi\)
\(270\) −2.93599 + 6.79183i −0.178679 + 0.413338i
\(271\) 20.4127 + 3.07672i 1.23998 + 0.186898i 0.736100 0.676873i \(-0.236665\pi\)
0.503885 + 0.863771i \(0.331903\pi\)
\(272\) −3.65416 9.31066i −0.221566 0.564542i
\(273\) −18.3575 + 20.3062i −1.11105 + 1.22899i
\(274\) 0.192069 0.489384i 0.0116033 0.0295648i
\(275\) 10.5636 18.2967i 0.637010 1.10333i
\(276\) −36.7076 + 6.98825i −2.20954 + 0.420643i
\(277\) −9.98265 + 25.4354i −0.599799 + 1.52826i 0.231728 + 0.972781i \(0.425562\pi\)
−0.831528 + 0.555484i \(0.812533\pi\)
\(278\) 21.5696 20.0136i 1.29366 1.20034i
\(279\) 7.02360 10.3517i 0.420492 0.619740i
\(280\) −0.210894 + 8.24706i −0.0126033 + 0.492856i
\(281\) 0.337542 4.50419i 0.0201361 0.268697i −0.978044 0.208397i \(-0.933175\pi\)
0.998180 0.0602999i \(-0.0192057\pi\)
\(282\) −2.73530 + 14.5460i −0.162885 + 0.866200i
\(283\) −17.8924 + 8.61652i −1.06359 + 0.512199i −0.882036 0.471182i \(-0.843828\pi\)
−0.181556 + 0.983381i \(0.558113\pi\)
\(284\) 7.24202 + 31.7294i 0.429735 + 1.88279i
\(285\) 1.13690 + 4.22394i 0.0673440 + 0.250205i
\(286\) 49.2609 + 45.7074i 2.91286 + 2.70274i
\(287\) 0.877465 2.60617i 0.0517951 0.153838i
\(288\) 5.91471 0.456635i 0.348528 0.0269075i
\(289\) −12.6741 + 3.90943i −0.745533 + 0.229966i
\(290\) 13.9511 + 2.10278i 0.819234 + 0.123480i
\(291\) −0.552084 + 15.2129i −0.0323637 + 0.891794i
\(292\) 2.06124 27.5053i 0.120625 1.60963i
\(293\) −2.62525 4.54707i −0.153369 0.265643i 0.779095 0.626906i \(-0.215679\pi\)
−0.932464 + 0.361263i \(0.882346\pi\)
\(294\) 28.7098 + 9.25378i 1.67439 + 0.539692i
\(295\) −0.234812 + 0.406707i −0.0136713 + 0.0236794i
\(296\) 2.77074 + 1.88906i 0.161046 + 0.109799i
\(297\) 15.2656 17.8605i 0.885800 1.03637i
\(298\) −6.44981 16.4339i −0.373628 0.951988i
\(299\) −6.84453 + 29.9878i −0.395829 + 1.73424i
\(300\) −33.6977 3.75842i −1.94554 0.216993i
\(301\) 24.9221 18.8529i 1.43648 1.08666i
\(302\) 8.49357 2.61992i 0.488750 0.150760i
\(303\) −4.71015 + 4.72077i −0.270591 + 0.271201i
\(304\) 16.7361 15.5288i 0.959881 0.890640i
\(305\) −0.380621 + 5.07904i −0.0217943 + 0.290825i
\(306\) 0.0324697 + 14.4278i 0.00185617 + 0.824780i
\(307\) 14.4343 6.95121i 0.823811 0.396726i 0.0260205 0.999661i \(-0.491716\pi\)
0.797790 + 0.602935i \(0.206002\pi\)
\(308\) 15.9935 47.5026i 0.911315 2.70671i
\(309\) −9.45538 2.52216i −0.537897 0.143481i
\(310\) −5.67401 1.75020i −0.322262 0.0994047i
\(311\) 21.8000 + 27.3363i 1.23616 + 1.55010i 0.720841 + 0.693101i \(0.243756\pi\)
0.515321 + 0.856997i \(0.327673\pi\)
\(312\) 18.5564 53.2232i 1.05055 3.01317i
\(313\) −13.9742 −0.789870 −0.394935 0.918709i \(-0.629233\pi\)
−0.394935 + 0.918709i \(0.629233\pi\)
\(314\) −9.61673 12.0590i −0.542704 0.680529i
\(315\) 1.75788 4.18910i 0.0990454 0.236029i
\(316\) −33.3625 + 41.8353i −1.87679 + 2.35342i
\(317\) 6.25786 7.84711i 0.351477 0.440738i −0.574394 0.818579i \(-0.694762\pi\)
0.925870 + 0.377841i \(0.123334\pi\)
\(318\) −38.6765 10.3167i −2.16887 0.578532i
\(319\) −40.3637 19.4381i −2.25993 1.08833i
\(320\) 1.13520 + 2.89244i 0.0634595 + 0.161692i
\(321\) 2.69553 + 4.27921i 0.150450 + 0.238842i
\(322\) 33.2265 6.69499i 1.85164 0.373097i
\(323\) 5.31798 + 6.66853i 0.295900 + 0.371047i
\(324\) −36.0818 10.9521i −2.00454 0.608453i
\(325\) −13.9553 + 24.1713i −0.774102 + 1.34078i
\(326\) 3.00939 7.66779i 0.166674 0.424680i
\(327\) 6.13594 + 14.0207i 0.339318 + 0.775344i
\(328\) 0.423144 + 5.64647i 0.0233642 + 0.311774i
\(329\) 1.58369 8.94839i 0.0873114 0.493341i
\(330\) −10.2269 4.44826i −0.562973 0.244869i
\(331\) 15.9870 + 20.0471i 0.878727 + 1.10189i 0.994089 + 0.108566i \(0.0346258\pi\)
−0.115362 + 0.993324i \(0.536803\pi\)
\(332\) 0.903739 12.0596i 0.0495991 0.661854i
\(333\) −1.04370 1.52345i −0.0571944 0.0834844i
\(334\) −4.08092 54.4562i −0.223298 2.97971i
\(335\) 1.86154 + 1.72726i 0.101707 + 0.0943702i
\(336\) −23.6201 + 2.07820i −1.28858 + 0.113375i
\(337\) −22.0285 + 20.4394i −1.19997 + 1.11341i −0.209195 + 0.977874i \(0.567084\pi\)
−0.990773 + 0.135534i \(0.956725\pi\)
\(338\) −41.3683 38.3842i −2.25014 2.08783i
\(339\) 1.85960 + 2.95216i 0.101000 + 0.160340i
\(340\) 4.42958 1.36634i 0.240228 0.0741004i
\(341\) 15.5786 + 10.6213i 0.843628 + 0.575176i
\(342\) −30.6292 + 12.1007i −1.65624 + 0.654331i
\(343\) −17.6871 5.49255i −0.955011 0.296570i
\(344\) −32.1727 + 55.7248i −1.73464 + 3.00448i
\(345\) −0.577258 5.07201i −0.0310785 0.273068i
\(346\) −1.84672 + 8.09101i −0.0992803 + 0.434976i
\(347\) 4.89412 6.13704i 0.262730 0.329453i −0.632916 0.774221i \(-0.718142\pi\)
0.895646 + 0.444767i \(0.146714\pi\)
\(348\) −2.60754 + 71.8517i −0.139779 + 3.85166i
\(349\) 23.6291 + 7.28860i 1.26484 + 0.390150i 0.853384 0.521282i \(-0.174546\pi\)
0.411451 + 0.911432i \(0.365022\pi\)
\(350\) 30.6008 + 3.08164i 1.63568 + 0.164721i
\(351\) −20.1670 + 23.5951i −1.07644 + 1.25941i
\(352\) 0.668192 + 8.91640i 0.0356147 + 0.475246i
\(353\) 16.7677 15.5582i 0.892456 0.828078i −0.0934078 0.995628i \(-0.529776\pi\)
0.985864 + 0.167550i \(0.0535856\pi\)
\(354\) −3.24228 1.41025i −0.172325 0.0749540i
\(355\) −4.39641 + 0.662652i −0.233337 + 0.0351699i
\(356\) −41.6743 28.4130i −2.20873 1.50589i
\(357\) −0.114790 8.85762i −0.00607533 0.468795i
\(358\) 6.28462 4.28478i 0.332152 0.226458i
\(359\) 8.64636 8.02265i 0.456337 0.423419i −0.418217 0.908347i \(-0.637345\pi\)
0.874554 + 0.484928i \(0.161154\pi\)
\(360\) 0.0210520 + 9.35433i 0.00110954 + 0.493016i
\(361\) −0.234581 + 0.406307i −0.0123464 + 0.0213846i
\(362\) −53.4510 −2.80932
\(363\) 12.4129 + 10.6579i 0.651510 + 0.559395i
\(364\) −21.1286 + 62.7546i −1.10744 + 3.28923i
\(365\) 3.72600 + 0.561603i 0.195027 + 0.0293957i
\(366\) −38.3177 + 1.47693i −2.00290 + 0.0772003i
\(367\) −1.71233 22.8495i −0.0893830 1.19273i −0.843918 0.536473i \(-0.819756\pi\)
0.754535 0.656260i \(-0.227863\pi\)
\(368\) −22.0138 + 15.0087i −1.14755 + 0.782384i
\(369\) 0.912375 2.98165i 0.0474963 0.155219i
\(370\) −0.546518 + 0.685312i −0.0284121 + 0.0356277i
\(371\) 23.8130 + 6.07960i 1.23631 + 0.315637i
\(372\) 5.59217 29.7385i 0.289940 1.54187i
\(373\) −3.65883 + 6.33728i −0.189447 + 0.328132i −0.945066 0.326880i \(-0.894003\pi\)
0.755619 + 0.655011i \(0.227336\pi\)
\(374\) −21.7461 −1.12446
\(375\) 1.77207 9.42367i 0.0915095 0.486636i
\(376\) 4.16375 + 18.2426i 0.214729 + 0.940790i
\(377\) 53.3235 + 25.6792i 2.74630 + 1.32255i
\(378\) 32.8331 + 9.58331i 1.68875 + 0.492912i
\(379\) −0.467659 + 0.225213i −0.0240220 + 0.0115684i −0.445856 0.895105i \(-0.647101\pi\)
0.421834 + 0.906673i \(0.361386\pi\)
\(380\) 6.59717 + 8.27259i 0.338428 + 0.424375i
\(381\) −2.21563 0.963701i −0.113510 0.0493719i
\(382\) −5.08975 22.2996i −0.260414 1.14095i
\(383\) −8.57470 + 5.84613i −0.438147 + 0.298723i −0.762231 0.647305i \(-0.775896\pi\)
0.324085 + 0.946028i \(0.394944\pi\)
\(384\) −26.7230 + 14.1620i −1.36370 + 0.722701i
\(385\) 6.30799 + 2.66374i 0.321485 + 0.135757i
\(386\) −5.96075 26.1158i −0.303394 1.32926i
\(387\) 27.6535 22.1549i 1.40570 1.12620i
\(388\) 13.4530 + 34.2776i 0.682971 + 1.74018i
\(389\) −9.94983 + 3.06912i −0.504476 + 0.155610i −0.536539 0.843876i \(-0.680269\pi\)
0.0320627 + 0.999486i \(0.489792\pi\)
\(390\) 13.5105 + 5.87649i 0.684131 + 0.297567i
\(391\) −4.97687 8.62019i −0.251691 0.435942i
\(392\) 37.9499 3.74893i 1.91676 0.189349i
\(393\) −5.05184 + 0.961749i −0.254832 + 0.0485138i
\(394\) 18.8634 9.08415i 0.950326 0.457653i
\(395\) −5.35861 4.97206i −0.269621 0.250171i
\(396\) 16.6298 54.3465i 0.835680 2.73101i
\(397\) −11.1122 + 3.42766i −0.557706 + 0.172029i −0.560778 0.827966i \(-0.689498\pi\)
0.00307290 + 0.999995i \(0.499022\pi\)
\(398\) −18.6729 5.75982i −0.935988 0.288714i
\(399\) 18.7251 7.63052i 0.937425 0.382004i
\(400\) −23.1020 + 7.12603i −1.15510 + 0.356301i
\(401\) 14.4975 9.88423i 0.723971 0.493595i −0.144395 0.989520i \(-0.546123\pi\)
0.868365 + 0.495925i \(0.165171\pi\)
\(402\) −11.3359 + 15.3958i −0.565382 + 0.767872i
\(403\) −20.5805 14.0315i −1.02519 0.698961i
\(404\) −5.89333 + 15.0160i −0.293204 + 0.747072i
\(405\) 1.86037 4.80360i 0.0924423 0.238693i
\(406\) 1.66719 65.1960i 0.0827413 3.23562i
\(407\) 2.29973 1.56793i 0.113993 0.0777194i
\(408\) 7.31285 + 16.7099i 0.362040 + 0.827263i
\(409\) 13.4437 + 16.8579i 0.664750 + 0.833570i 0.993851 0.110725i \(-0.0353172\pi\)
−0.329101 + 0.944295i \(0.606746\pi\)
\(410\) −1.48006 −0.0730947
\(411\) −0.120494 + 0.345600i −0.00594354 + 0.0170472i
\(412\) −23.4072 + 3.52807i −1.15319 + 0.173815i
\(413\) 1.99985 + 0.844498i 0.0984060 + 0.0415550i
\(414\) 37.4496 8.63634i 1.84055 0.424453i
\(415\) 1.63364 + 0.246232i 0.0801924 + 0.0120871i
\(416\) −0.882731 11.7792i −0.0432794 0.577524i
\(417\) −14.4686 + 14.5012i −0.708532 + 0.710129i
\(418\) −18.1347 46.2064i −0.886996 2.26003i
\(419\) −25.5087 3.84481i −1.24618 0.187831i −0.507360 0.861734i \(-0.669379\pi\)
−0.738820 + 0.673903i \(0.764617\pi\)
\(420\) −0.142402 10.9882i −0.00694849 0.536171i
\(421\) 1.20261 0.181264i 0.0586116 0.00883428i −0.119671 0.992814i \(-0.538184\pi\)
0.178283 + 0.983979i \(0.442946\pi\)
\(422\) −20.0164 34.6694i −0.974382 1.68768i
\(423\) 1.51283 10.1925i 0.0735562 0.495578i
\(424\) −50.0403 + 7.54237i −2.43017 + 0.366290i
\(425\) −2.00981 8.80555i −0.0974900 0.427132i
\(426\) −8.69995 32.3231i −0.421514 1.56606i
\(427\) 23.5152 1.15867i 1.13798 0.0560720i
\(428\) 10.1078 + 6.89140i 0.488580 + 0.333108i
\(429\) −35.4949 30.4764i −1.71371 1.47141i
\(430\) −13.8966 9.47453i −0.670153 0.456903i
\(431\) −37.2197 11.4808i −1.79281 0.553009i −0.794298 0.607529i \(-0.792161\pi\)
−0.998513 + 0.0545198i \(0.982637\pi\)
\(432\) −26.7067 + 3.10046i −1.28493 + 0.149171i
\(433\) 2.30239 10.0874i 0.110646 0.484771i −0.888994 0.457920i \(-0.848595\pi\)
0.999639 0.0268514i \(-0.00854808\pi\)
\(434\) −4.78334 + 27.0276i −0.229607 + 1.29736i
\(435\) −9.76171 1.08876i −0.468038 0.0522020i
\(436\) 27.1380 + 25.1804i 1.29967 + 1.20592i
\(437\) 14.1659 17.7635i 0.677649 0.849745i
\(438\) −1.02885 + 28.3504i −0.0491604 + 1.35463i
\(439\) 22.4816 10.8266i 1.07299 0.516724i 0.187919 0.982184i \(-0.439826\pi\)
0.885069 + 0.465461i \(0.154111\pi\)
\(440\) −14.0992 −0.672154
\(441\) −20.2207 5.66775i −0.962890 0.269893i
\(442\) 28.7282 1.36646
\(443\) 11.5501 5.56223i 0.548762 0.264270i −0.138893 0.990307i \(-0.544354\pi\)
0.687655 + 0.726038i \(0.258640\pi\)
\(444\) −3.78496 2.37231i −0.179626 0.112585i
\(445\) 4.29615 5.38720i 0.203657 0.255378i
\(446\) 18.8448 + 17.4854i 0.892327 + 0.827958i
\(447\) 4.92760 + 11.2596i 0.233067 + 0.532560i
\(448\) 12.6184 6.86126i 0.596164 0.324164i
\(449\) −8.62805 + 37.8019i −0.407183 + 1.78398i 0.189899 + 0.981804i \(0.439184\pi\)
−0.597082 + 0.802180i \(0.703673\pi\)
\(450\) 34.7818 + 2.52784i 1.63963 + 0.119163i
\(451\) 4.49095 + 1.38527i 0.211471 + 0.0652300i
\(452\) 6.97324 + 4.75427i 0.327994 + 0.223622i
\(453\) −5.83847 + 2.05035i −0.274315 + 0.0963337i
\(454\) 31.5003 + 21.4766i 1.47838 + 1.00794i
\(455\) −8.33332 3.51901i −0.390672 0.164974i
\(456\) −29.4070 + 29.4733i −1.37711 + 1.38021i
\(457\) −1.38471 6.06681i −0.0647740 0.283794i 0.932159 0.362048i \(-0.117922\pi\)
−0.996933 + 0.0782546i \(0.975065\pi\)
\(458\) 71.6063 10.7929i 3.34594 0.504320i
\(459\) −0.409455 10.0361i −0.0191117 0.468444i
\(460\) −6.17401 10.6937i −0.287865 0.498597i
\(461\) 7.13835 1.07593i 0.332466 0.0501112i 0.0193119 0.999814i \(-0.493852\pi\)
0.313154 + 0.949702i \(0.398614\pi\)
\(462\) −14.5556 + 49.4547i −0.677190 + 2.30084i
\(463\) 13.2752 + 2.00092i 0.616953 + 0.0929907i 0.450081 0.892988i \(-0.351395\pi\)
0.166872 + 0.985979i \(0.446633\pi\)
\(464\) 18.7294 + 47.7216i 0.869489 + 2.21542i
\(465\) 3.99417 + 1.06542i 0.185225 + 0.0494076i
\(466\) −4.91588 65.5978i −0.227724 3.03876i
\(467\) −13.2477 1.99677i −0.613031 0.0923996i −0.164815 0.986325i \(-0.552703\pi\)
−0.448217 + 0.893925i \(0.647941\pi\)
\(468\) −21.9692 + 71.7958i −1.01553 + 3.31876i
\(469\) 6.85836 9.52667i 0.316690 0.439901i
\(470\) −4.83639 + 0.728969i −0.223086 + 0.0336248i
\(471\) 7.01342 + 8.13122i 0.323161 + 0.374667i
\(472\) −4.46993 −0.205745
\(473\) 33.2988 + 41.7553i 1.53108 + 1.91991i
\(474\) 32.6312 44.3180i 1.49880 2.03560i
\(475\) 17.0341 11.6137i 0.781578 0.532871i
\(476\) −8.80058 19.5371i −0.403374 0.895481i
\(477\) 27.1827 + 6.13995i 1.24461 + 0.281129i
\(478\) −9.61921 + 24.5094i −0.439973 + 1.12103i
\(479\) 23.7508 + 16.1931i 1.08520 + 0.739879i 0.967424 0.253160i \(-0.0814700\pi\)
0.117779 + 0.993040i \(0.462422\pi\)
\(480\) 0.785952 + 1.79590i 0.0358736 + 0.0819714i
\(481\) −3.03812 + 2.07135i −0.138526 + 0.0944455i
\(482\) 8.30504 2.56177i 0.378284 0.116685i
\(483\) −22.9352 + 5.54844i −1.04359 + 0.252463i
\(484\) 37.8171 + 11.6650i 1.71896 + 0.530229i
\(485\) −4.80697 + 1.48275i −0.218273 + 0.0673284i
\(486\) 37.5171 + 9.82678i 1.70181 + 0.445752i
\(487\) −11.1211 10.3188i −0.503944 0.467591i 0.386757 0.922182i \(-0.373595\pi\)
−0.890701 + 0.454590i \(0.849786\pi\)
\(488\) −43.6775 + 21.0340i −1.97719 + 0.952163i
\(489\) −1.88793 + 5.41494i −0.0853753 + 0.244872i
\(490\) 0.235888 + 9.96512i 0.0106563 + 0.450178i
\(491\) −8.76564 15.1825i −0.395588 0.685178i 0.597588 0.801803i \(-0.296126\pi\)
−0.993176 + 0.116625i \(0.962792\pi\)
\(492\) −0.852927 7.49413i −0.0384529 0.337862i
\(493\) −18.3015 + 5.64526i −0.824257 + 0.254250i
\(494\) 23.9573 + 61.0421i 1.07789 + 2.74641i
\(495\) 7.23383 + 2.82030i 0.325136 + 0.126763i
\(496\) −4.80106 21.0348i −0.215574 0.944491i
\(497\) 5.55379 + 19.7874i 0.249121 + 0.887585i
\(498\) −0.451095 + 12.4301i −0.0202140 + 0.557005i
\(499\) −22.2917 + 15.1982i −0.997915 + 0.680367i −0.947962 0.318385i \(-0.896860\pi\)
−0.0499533 + 0.998752i \(0.515907\pi\)
\(500\) −5.16131 22.6132i −0.230821 1.01129i
\(501\) 4.29917 + 37.7741i 0.192073 + 1.68762i
\(502\) 3.64559 + 4.57143i 0.162711 + 0.204033i
\(503\) −31.9878 + 15.4045i −1.42626 + 0.686853i −0.978299 0.207199i \(-0.933565\pi\)
−0.447965 + 0.894051i \(0.647851\pi\)
\(504\) 42.8962 5.44608i 1.91075 0.242588i
\(505\) −1.98545 0.956144i −0.0883515 0.0425479i
\(506\) 12.8899 + 56.4745i 0.573028 + 2.51060i
\(507\) 29.8079 + 25.5935i 1.32382 + 1.13665i
\(508\) −5.84446 −0.259306
\(509\) 18.1387 31.4172i 0.803986 1.39254i −0.112988 0.993596i \(-0.536042\pi\)
0.916974 0.398948i \(-0.130624\pi\)
\(510\) −4.49839 + 1.57974i −0.199192 + 0.0699521i
\(511\) 0.445267 17.4123i 0.0196975 0.770275i
\(512\) −28.7707 + 36.0773i −1.27150 + 1.59441i
\(513\) 20.9834 9.23939i 0.926438 0.407929i
\(514\) −43.0342 + 29.3402i −1.89816 + 1.29414i
\(515\) −0.241663 3.22477i −0.0106490 0.142100i
\(516\) 39.9651 75.8242i 1.75937 3.33797i
\(517\) 15.3574 + 2.31476i 0.675418 + 0.101803i
\(518\) 3.45606 + 2.11496i 0.151851 + 0.0929262i
\(519\) 1.06776 5.67819i 0.0468692 0.249245i
\(520\) 18.6261 0.816809
\(521\) −15.4356 + 26.7352i −0.676245 + 1.17129i 0.299858 + 0.953984i \(0.403061\pi\)
−0.976103 + 0.217307i \(0.930273\pi\)
\(522\) −0.166423 73.9493i −0.00728415 3.23667i
\(523\) 6.53146 6.06031i 0.285601 0.264999i −0.524342 0.851508i \(-0.675689\pi\)
0.809943 + 0.586509i \(0.199498\pi\)
\(524\) −10.2780 + 7.00743i −0.448997 + 0.306121i
\(525\) −21.3707 1.32327i −0.932694 0.0577525i
\(526\) 27.2710 + 18.5930i 1.18907 + 0.810695i
\(527\) 7.97050 1.20136i 0.347201 0.0523321i
\(528\) −4.58253 40.2638i −0.199429 1.75226i
\(529\) −2.57639 + 2.39054i −0.112017 + 0.103937i
\(530\) −0.988505 13.1907i −0.0429379 0.572967i
\(531\) 2.29337 + 0.894130i 0.0995238 + 0.0388019i
\(532\) 34.1736 34.9921i 1.48161 1.51710i
\(533\) −5.93288 1.83005i −0.256982 0.0792683i
\(534\) 43.9565 + 27.5507i 1.90218 + 1.19224i
\(535\) −1.04200 + 1.30663i −0.0450497 + 0.0564906i
\(536\) −5.37847 + 23.5646i −0.232315 + 1.01784i
\(537\) −4.25713 + 3.14931i −0.183709 + 0.135903i
\(538\) −20.7124 + 35.8749i −0.892974 + 1.54668i
\(539\) 8.61121 30.4581i 0.370911 1.31192i
\(540\) −0.507946 12.4502i −0.0218585 0.535770i
\(541\) 2.36728 + 1.61399i 0.101778 + 0.0693907i 0.613139 0.789975i \(-0.289906\pi\)
−0.511362 + 0.859366i \(0.670859\pi\)
\(542\) −49.0770 + 15.1382i −2.10804 + 0.650243i
\(543\) 37.1842 1.43324i 1.59573 0.0615061i
\(544\) 2.80208 + 2.59995i 0.120138 + 0.111472i
\(545\) −3.70736 + 3.43993i −0.158806 + 0.147350i
\(546\) 19.2291 65.3333i 0.822930 2.79601i
\(547\) −28.2532 26.2151i −1.20802 1.12088i −0.989423 0.145062i \(-0.953662\pi\)
−0.218596 0.975816i \(-0.570148\pi\)
\(548\) 0.0661611 + 0.882859i 0.00282626 + 0.0377139i
\(549\) 26.6169 2.05491i 1.13598 0.0877014i
\(550\) −3.92802 + 52.4157i −0.167491 + 2.23501i
\(551\) −27.2572 34.1795i −1.16120 1.45609i
\(552\) 39.0609 28.8962i 1.66254 1.22990i
\(553\) −19.7424 + 27.4233i −0.839531 + 1.16616i
\(554\) −5.08017 67.7901i −0.215836 2.88013i
\(555\) 0.361820 0.491405i 0.0153584 0.0208590i
\(556\) −18.1031 + 46.1260i −0.767743 + 1.95618i
\(557\) 10.9883 19.0323i 0.465590 0.806426i −0.533638 0.845713i \(-0.679175\pi\)
0.999228 + 0.0392871i \(0.0125087\pi\)
\(558\) −4.56932 + 30.7854i −0.193435 + 1.30325i
\(559\) −43.9902 55.1619i −1.86059 2.33310i
\(560\) −3.21811 7.14413i −0.135990 0.301895i
\(561\) 15.1281 0.583101i 0.638709 0.0246185i
\(562\) 4.10550 + 10.4606i 0.173180 + 0.441256i
\(563\) −0.350640 0.168859i −0.0147777 0.00711657i 0.426480 0.904497i \(-0.359753\pi\)
−0.441258 + 0.897380i \(0.645468\pi\)
\(564\) −6.47819 24.0686i −0.272781 1.01347i
\(565\) −0.718863 + 0.901425i −0.0302428 + 0.0379232i
\(566\) 30.8051 38.6284i 1.29484 1.62367i
\(567\) −23.0980 5.78643i −0.970024 0.243007i
\(568\) −26.3849 33.0856i −1.10709 1.38824i
\(569\) 11.9925 0.502750 0.251375 0.967890i \(-0.419117\pi\)
0.251375 + 0.967890i \(0.419117\pi\)
\(570\) −7.10799 8.24086i −0.297721 0.345172i
\(571\) −11.0203 13.8190i −0.461183 0.578306i 0.495804 0.868434i \(-0.334873\pi\)
−0.956988 + 0.290129i \(0.906302\pi\)
\(572\) −108.138 33.3563i −4.52149 1.39470i
\(573\) 4.13873 + 15.3767i 0.172898 + 0.642371i
\(574\) 0.846408 + 6.78901i 0.0353284 + 0.283368i
\(575\) −21.6767 + 10.4389i −0.903980 + 0.435334i
\(576\) 14.0860 8.17488i 0.586917 0.340620i
\(577\) 2.55725 34.1241i 0.106460 1.42061i −0.646688 0.762755i \(-0.723846\pi\)
0.753147 0.657852i \(-0.228535\pi\)
\(578\) 24.1892 22.4443i 1.00614 0.933560i
\(579\) 4.84699 + 18.0081i 0.201434 + 0.748392i
\(580\) −22.7037 + 7.00318i −0.942721 + 0.290791i
\(581\) 0.195225 7.63433i 0.00809930 0.316725i
\(582\) −15.1842 34.6961i −0.629407 1.43820i
\(583\) −9.34653 + 40.9498i −0.387094 + 1.69597i
\(584\) 13.1029 + 33.3857i 0.542203 + 1.38151i
\(585\) −9.55643 3.72582i −0.395110 0.154044i
\(586\) 10.7930 + 7.35854i 0.445855 + 0.303979i
\(587\) 7.56840 13.1088i 0.312381 0.541060i −0.666496 0.745508i \(-0.732207\pi\)
0.978877 + 0.204448i \(0.0655400\pi\)
\(588\) −50.3216 + 6.93710i −2.07523 + 0.286081i
\(589\) 9.19949 + 15.9340i 0.379058 + 0.656548i
\(590\) 0.0873135 1.16512i 0.00359464 0.0479671i
\(591\) −12.8791 + 6.82537i −0.529777 + 0.280758i
\(592\) −3.14947 0.474706i −0.129442 0.0195103i
\(593\) 24.9036 7.68175i 1.02267 0.315452i 0.262331 0.964978i \(-0.415509\pi\)
0.760339 + 0.649526i \(0.225033\pi\)
\(594\) −14.9385 + 56.5137i −0.612934 + 2.31878i
\(595\) 2.75137 0.999446i 0.112795 0.0409733i
\(596\) 21.7938 + 20.2216i 0.892707 + 0.828311i
\(597\) 13.1446 + 3.50624i 0.537973 + 0.143501i
\(598\) −17.0286 74.6071i −0.696351 3.05091i
\(599\) 29.5802 14.2451i 1.20862 0.582039i 0.282496 0.959268i \(-0.408837\pi\)
0.926120 + 0.377229i \(0.123123\pi\)
\(600\) 41.5977 14.6082i 1.69822 0.596378i
\(601\) 1.87457 25.0145i 0.0764655 1.02036i −0.818582 0.574390i \(-0.805239\pi\)
0.895047 0.445971i \(-0.147142\pi\)
\(602\) −35.5125 + 69.1619i −1.44738 + 2.81883i
\(603\) 7.47320 11.0143i 0.304332 0.448539i
\(604\) −10.9726 + 10.1811i −0.446469 + 0.414263i
\(605\) −1.97520 + 5.03272i −0.0803032 + 0.204609i
\(606\) 5.46206 15.6662i 0.221881 0.636396i
\(607\) 15.3728 26.6265i 0.623964 1.08074i −0.364777 0.931095i \(-0.618855\pi\)
0.988740 0.149642i \(-0.0478120\pi\)
\(608\) −3.18768 + 8.12208i −0.129278 + 0.329394i
\(609\) 0.588354 + 45.3996i 0.0238413 + 1.83968i
\(610\) −4.62947 11.7957i −0.187442 0.477594i
\(611\) −20.2883 3.05796i −0.820776 0.123712i
\(612\) −10.5912 21.8669i −0.428124 0.883915i
\(613\) 10.0093 6.82425i 0.404273 0.275629i −0.344066 0.938946i \(-0.611804\pi\)
0.748339 + 0.663317i \(0.230852\pi\)
\(614\) −24.8514 + 31.1627i −1.00292 + 1.25762i
\(615\) 1.02963 0.0396863i 0.0415187 0.00160031i
\(616\) 8.06300 + 64.6731i 0.324867 + 2.60575i
\(617\) −10.0137 + 25.5144i −0.403135 + 1.02717i 0.574806 + 0.818290i \(0.305078\pi\)
−0.977941 + 0.208882i \(0.933018\pi\)
\(618\) 23.9171 4.55324i 0.962087 0.183158i
\(619\) −4.28767 7.42646i −0.172336 0.298495i 0.766900 0.641766i \(-0.221798\pi\)
−0.939236 + 0.343272i \(0.888465\pi\)
\(620\) 9.88774 1.49034i 0.397101 0.0598534i
\(621\) −25.8210 + 7.01222i −1.03616 + 0.281391i
\(622\) −78.3738 37.7428i −3.14250 1.51335i
\(623\) −27.1679 16.6256i −1.08846 0.666091i
\(624\) 6.05386 + 53.1915i 0.242348 + 2.12936i
\(625\) −19.9678 + 3.00966i −0.798712 + 0.120386i
\(626\) 31.3237 15.0847i 1.25195 0.602905i
\(627\) 13.8547 + 31.6581i 0.553304 + 1.26430i
\(628\) 23.4022 + 11.2699i 0.933849 + 0.449718i
\(629\) 0.264779 1.16007i 0.0105574 0.0462551i
\(630\) 0.581642 + 11.2876i 0.0231732 + 0.449708i
\(631\) 7.65109 + 33.5216i 0.304585 + 1.33447i 0.863122 + 0.504995i \(0.168506\pi\)
−0.558537 + 0.829480i \(0.688637\pi\)
\(632\) 15.4824 67.8328i 0.615856 2.69824i
\(633\) 14.8544 + 23.5817i 0.590410 + 0.937289i
\(634\) −5.55652 + 24.3447i −0.220677 + 0.966851i
\(635\) 0.0596661 0.796189i 0.00236778 0.0315958i
\(636\) 66.2202 12.6067i 2.62580 0.499890i
\(637\) −11.3760 + 40.2374i −0.450736 + 1.59426i
\(638\) 111.459 4.41272
\(639\) 6.91901 + 22.2529i 0.273712 + 0.880313i
\(640\) −7.32622 6.79773i −0.289594 0.268704i
\(641\) −9.09660 1.37109i −0.359294 0.0541549i −0.0330852 0.999453i \(-0.510533\pi\)
−0.326209 + 0.945298i \(0.605771\pi\)
\(642\) −10.6614 6.68226i −0.420771 0.263728i
\(643\) −15.4000 + 14.2891i −0.607317 + 0.563508i −0.922730 0.385446i \(-0.874047\pi\)
0.315413 + 0.948955i \(0.397857\pi\)
\(644\) −45.5212 + 34.4357i −1.79379 + 1.35695i
\(645\) 9.92149 + 6.21852i 0.390658 + 0.244854i
\(646\) −19.1189 9.20716i −0.752222 0.362251i
\(647\) −41.6914 12.8601i −1.63906 0.505582i −0.667946 0.744210i \(-0.732826\pi\)
−0.971111 + 0.238628i \(0.923302\pi\)
\(648\) 48.4492 7.52572i 1.90326 0.295638i
\(649\) −1.35544 + 3.45361i −0.0532057 + 0.135566i
\(650\) 5.18920 69.2451i 0.203537 2.71602i
\(651\) 2.60290 18.9305i 0.102016 0.741946i
\(652\) 1.03663 + 13.8329i 0.0405975 + 0.541737i
\(653\) −27.0957 8.35792i −1.06034 0.327071i −0.284940 0.958545i \(-0.591974\pi\)
−0.775396 + 0.631475i \(0.782450\pi\)
\(654\) −28.8887 24.8042i −1.12964 0.969922i
\(655\) −0.849691 1.47171i −0.0332002 0.0575044i
\(656\) −2.68898 4.65745i −0.104987 0.181843i
\(657\) −0.0444477 19.7501i −0.00173407 0.770525i
\(658\) 6.10959 + 21.7676i 0.238177 + 0.848591i
\(659\) −2.66653 6.79420i −0.103873 0.264664i 0.869483 0.493963i \(-0.164452\pi\)
−0.973356 + 0.229298i \(0.926357\pi\)
\(660\) 18.7670 0.723361i 0.730506 0.0281568i
\(661\) 15.7951 + 7.60651i 0.614358 + 0.295859i 0.715066 0.699057i \(-0.246397\pi\)
−0.100708 + 0.994916i \(0.532111\pi\)
\(662\) −57.4756 27.6788i −2.23385 1.07577i
\(663\) −19.9854 + 0.770320i −0.776167 + 0.0299168i
\(664\) 5.74491 + 14.6378i 0.222946 + 0.568057i
\(665\) 4.41808 + 5.01269i 0.171326 + 0.194384i
\(666\) 3.98399 + 2.28822i 0.154377 + 0.0886667i
\(667\) 25.5089 + 44.1827i 0.987708 + 1.71076i
\(668\) 45.9813 + 79.6420i 1.77907 + 3.08144i
\(669\) −13.5786 11.6588i −0.524979 0.450754i
\(670\) −6.03722 1.86224i −0.233238 0.0719445i
\(671\) 3.00694 + 40.1248i 0.116082 + 1.54900i
\(672\) 7.78834 4.63219i 0.300442 0.178691i
\(673\) −0.515853 + 6.88358i −0.0198847 + 0.265343i 0.978397 + 0.206737i \(0.0662845\pi\)
−0.998281 + 0.0586055i \(0.981335\pi\)
\(674\) 27.3139 69.5946i 1.05209 2.68069i
\(675\) −24.2645 0.825896i −0.933939 0.0317888i
\(676\) 90.8125 + 28.0120i 3.49279 + 1.07738i
\(677\) 37.0963 + 17.8647i 1.42573 + 0.686595i 0.978198 0.207674i \(-0.0665893\pi\)
0.447530 + 0.894269i \(0.352304\pi\)
\(678\) −7.35512 4.60999i −0.282472 0.177046i
\(679\) 9.55038 + 21.2016i 0.366510 + 0.813643i
\(680\) −4.41846 + 4.09973i −0.169440 + 0.157217i
\(681\) −22.4897 14.0959i −0.861807 0.540158i
\(682\) −46.3852 6.99145i −1.77618 0.267716i
\(683\) −3.96590 3.67982i −0.151751 0.140804i 0.600644 0.799517i \(-0.294911\pi\)
−0.752395 + 0.658712i \(0.771101\pi\)
\(684\) 37.6307 40.7397i 1.43884 1.55772i
\(685\) −0.120947 −0.00462114
\(686\) 45.5751 6.78083i 1.74007 0.258893i
\(687\) −49.5250 + 9.42836i −1.88949 + 0.359714i
\(688\) 4.56707 60.9433i 0.174118 2.32344i
\(689\) 12.3475 54.0978i 0.470401 2.06096i
\(690\) 6.76899 + 10.7459i 0.257691 + 0.409091i
\(691\) 4.66847 20.4539i 0.177597 0.778104i −0.805138 0.593087i \(-0.797909\pi\)
0.982735 0.185017i \(-0.0592339\pi\)
\(692\) −3.10992 13.6255i −0.118222 0.517963i
\(693\) 8.79985 34.7944i 0.334279 1.32173i
\(694\) −4.34562 + 19.0394i −0.164957 + 0.722726i
\(695\) −6.09891 2.93708i −0.231345 0.111410i
\(696\) −37.4819 85.6463i −1.42075 3.24642i
\(697\) 1.81019 0.871744i 0.0685660 0.0330196i
\(698\) −60.8331 + 9.16911i −2.30257 + 0.347056i
\(699\) 5.17877 + 45.5026i 0.195879 + 1.72107i
\(700\) −48.6809 + 17.6835i −1.83997 + 0.668374i
\(701\) −31.7743 15.3017i −1.20010 0.577937i −0.276395 0.961044i \(-0.589140\pi\)
−0.923704 + 0.383107i \(0.874854\pi\)
\(702\) 19.7349 74.6588i 0.744845 2.81781i
\(703\) 2.68574 0.404811i 0.101295 0.0152677i
\(704\) 12.2737 + 21.2586i 0.462581 + 0.801214i
\(705\) 3.34498 0.636805i 0.125979 0.0239835i
\(706\) −20.7909 + 52.9743i −0.782475 + 1.99371i
\(707\) −3.25040 + 9.65407i −0.122244 + 0.363079i
\(708\) 5.94979 0.229330i 0.223607 0.00861875i
\(709\) 0.249685 0.313095i 0.00937711 0.0117585i −0.777121 0.629351i \(-0.783321\pi\)
0.786498 + 0.617593i \(0.211892\pi\)
\(710\) 9.13939 6.23113i 0.342995 0.233850i
\(711\) −21.5122 + 31.7057i −0.806771 + 1.18906i
\(712\) 64.8518 + 9.77483i 2.43042 + 0.366327i
\(713\) −7.84443 19.9873i −0.293776 0.748529i
\(714\) 9.81879 + 19.7307i 0.367459 + 0.738403i
\(715\) 5.64810 14.3911i 0.211227 0.538197i
\(716\) −6.40460 + 11.0931i −0.239351 + 0.414568i
\(717\) 6.03460 17.3084i 0.225366 0.646392i
\(718\) −10.7209 + 27.3165i −0.400101 + 1.01944i
\(719\) 15.5911 14.4665i 0.581452 0.539508i −0.333668 0.942691i \(-0.608286\pi\)
0.915120 + 0.403182i \(0.132096\pi\)
\(720\) −3.87289 7.99606i −0.144334 0.297996i
\(721\) −14.6538 + 2.95268i −0.545737 + 0.109963i
\(722\) 0.0872276 1.16397i 0.00324628 0.0433185i
\(723\) −5.70888 + 2.00484i −0.212315 + 0.0745607i
\(724\) 81.0987 39.0551i 3.01401 1.45147i
\(725\) 10.3012 + 45.1327i 0.382579 + 1.67619i
\(726\) −39.3288 10.4907i −1.45963 0.389347i
\(727\) 22.7187 + 21.0798i 0.842588 + 0.781808i 0.977917 0.208993i \(-0.0670186\pi\)
−0.135329 + 0.990801i \(0.543209\pi\)
\(728\) −10.6518 85.4380i −0.394783 3.16654i
\(729\) −26.3630 5.83021i −0.976408 0.215934i
\(730\) −8.95817 + 2.76323i −0.331557 + 0.102272i
\(731\) 22.5768 + 3.40290i 0.835032 + 0.125861i
\(732\) 57.0586 30.2385i 2.10895 1.11765i
\(733\) 0.949979 12.6766i 0.0350883 0.468221i −0.951790 0.306752i \(-0.900758\pi\)
0.986878 0.161469i \(-0.0516231\pi\)
\(734\) 28.5035 + 49.3694i 1.05208 + 1.82226i
\(735\) −0.431306 6.92611i −0.0159090 0.255473i
\(736\) 5.09115 8.81812i 0.187662 0.325040i
\(737\) 16.5758 + 11.3012i 0.610578 + 0.416285i
\(738\) 1.17347 + 7.66835i 0.0431961 + 0.282276i
\(739\) −9.58382 24.4192i −0.352547 0.898274i −0.991627 0.129134i \(-0.958780\pi\)
0.639080 0.769140i \(-0.279315\pi\)
\(740\) 0.328469 1.43912i 0.0120748 0.0529030i
\(741\) −18.3031 41.8228i −0.672382 1.53640i
\(742\) −59.9403 + 12.0777i −2.20048 + 0.443386i
\(743\) 8.96218 2.76447i 0.328790 0.101418i −0.125965 0.992035i \(-0.540203\pi\)
0.454756 + 0.890616i \(0.349727\pi\)
\(744\) 10.2263 + 37.9939i 0.374914 + 1.39293i
\(745\) −2.97728 + 2.76251i −0.109079 + 0.101211i
\(746\) 1.36051 18.1548i 0.0498119 0.664694i
\(747\) −0.0194879 8.65932i −0.000713023 0.316828i
\(748\) 32.9944 15.8892i 1.20639 0.580968i
\(749\) 6.58941 + 4.03244i 0.240772 + 0.147342i
\(750\) 6.20036 + 23.0364i 0.226405 + 0.841169i
\(751\) 14.1335 + 4.35961i 0.515739 + 0.159084i 0.541689 0.840579i \(-0.317785\pi\)
−0.0259501 + 0.999663i \(0.508261\pi\)
\(752\) −11.0807 13.8948i −0.404073 0.506691i
\(753\) −2.65871 3.08245i −0.0968887 0.112331i
\(754\) −147.246 −5.36239
\(755\) −1.27495 1.59873i −0.0464001 0.0581839i
\(756\) −56.8185 + 9.44990i −2.06647 + 0.343690i
\(757\) −12.4731 + 15.6407i −0.453341 + 0.568471i −0.955005 0.296591i \(-0.904150\pi\)
0.501664 + 0.865063i \(0.332722\pi\)
\(758\) 0.805164 1.00964i 0.0292449 0.0366719i
\(759\) −10.4815 38.9420i −0.380453 1.41351i
\(760\) −12.3958 5.96952i −0.449644 0.216537i
\(761\) 14.5860 + 37.1645i 0.528741 + 1.34721i 0.906851 + 0.421451i \(0.138479\pi\)
−0.378110 + 0.925761i \(0.623426\pi\)
\(762\) 6.00668 0.231523i 0.217599 0.00838718i
\(763\) 17.8991 + 15.0385i 0.647991 + 0.544429i
\(764\) 24.0161 + 30.1153i 0.868873 + 1.08953i
\(765\) 3.08704 1.21960i 0.111612 0.0440947i
\(766\) 12.9098 22.3604i 0.466449 0.807913i
\(767\) 1.79064 4.56247i 0.0646562 0.164741i
\(768\) 33.4628 45.4474i 1.20748 1.63994i
\(769\) −1.70466 22.7472i −0.0614718 0.820284i −0.939691 0.342025i \(-0.888887\pi\)
0.878219 0.478259i \(-0.158732\pi\)
\(770\) −17.0150 + 0.838382i −0.613177 + 0.0302132i
\(771\) 29.1509 21.5650i 1.04984 0.776646i
\(772\) 28.1260 + 35.2689i 1.01228 + 1.26936i
\(773\) 2.00536