Properties

Label 144.2.x.e.85.4
Level $144$
Weight $2$
Character 144.85
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 85.4
Character \(\chi\) \(=\) 144.85
Dual form 144.2.x.e.61.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.20757 + 0.736049i) q^{2} +(1.05287 + 1.37530i) q^{3} +(0.916464 - 1.77767i) q^{4} +(-4.10876 + 1.10094i) q^{5} +(-2.28371 - 0.885810i) q^{6} +(-1.63313 + 0.942891i) q^{7} +(0.201751 + 2.82122i) q^{8} +(-0.782911 + 2.89604i) q^{9} +O(q^{10})\) \(q+(-1.20757 + 0.736049i) q^{2} +(1.05287 + 1.37530i) q^{3} +(0.916464 - 1.77767i) q^{4} +(-4.10876 + 1.10094i) q^{5} +(-2.28371 - 0.885810i) q^{6} +(-1.63313 + 0.942891i) q^{7} +(0.201751 + 2.82122i) q^{8} +(-0.782911 + 2.89604i) q^{9} +(4.15129 - 4.35372i) q^{10} +(0.317223 - 1.18389i) q^{11} +(3.40975 - 0.611243i) q^{12} +(0.620109 + 2.31428i) q^{13} +(1.27812 - 2.34068i) q^{14} +(-5.84014 - 4.49164i) q^{15} +(-2.32019 - 3.25833i) q^{16} +3.44622 q^{17} +(-1.18621 - 4.07344i) q^{18} +(-4.17726 + 4.17726i) q^{19} +(-1.80843 + 8.31298i) q^{20} +(-3.01624 - 1.25331i) q^{21} +(0.488333 + 1.66313i) q^{22} +(1.34867 + 0.778655i) q^{23} +(-3.66761 + 3.24786i) q^{24} +(11.3397 - 6.54701i) q^{25} +(-2.45225 - 2.33823i) q^{26} +(-4.80724 + 1.97243i) q^{27} +(0.179434 + 3.76729i) q^{28} +(1.28135 + 0.343336i) q^{29} +(10.3585 + 1.12536i) q^{30} +(1.25840 - 2.17961i) q^{31} +(5.20009 + 2.22690i) q^{32} +(1.96221 - 0.810213i) q^{33} +(-4.16156 + 2.53659i) q^{34} +(5.67210 - 5.67210i) q^{35} +(4.43068 + 4.04587i) q^{36} +(5.77154 + 5.77154i) q^{37} +(1.96968 - 8.11900i) q^{38} +(-2.52993 + 3.28948i) q^{39} +(-3.93494 - 11.3696i) q^{40} +(3.43245 + 1.98173i) q^{41} +(4.56483 - 0.706643i) q^{42} +(0.793272 - 2.96053i) q^{43} +(-1.81384 - 1.64891i) q^{44} +(0.0284289 - 12.7611i) q^{45} +(-2.20175 + 0.0524044i) q^{46} +(0.230692 + 0.399570i) q^{47} +(2.03833 - 6.62157i) q^{48} +(-1.72191 + 2.98244i) q^{49} +(-8.87466 + 16.2526i) q^{50} +(3.62844 + 4.73959i) q^{51} +(4.68232 + 1.01861i) q^{52} +(5.61507 + 5.61507i) q^{53} +(4.35329 - 5.92021i) q^{54} +5.21358i q^{55} +(-2.98959 - 4.41721i) q^{56} +(-10.1431 - 1.34686i) q^{57} +(-1.80003 + 0.528530i) q^{58} +(-10.9262 + 2.92766i) q^{59} +(-13.3369 + 6.26538i) q^{60} +(-4.74261 - 1.27078i) q^{61} +(0.0846915 + 3.55828i) q^{62} +(-1.45205 - 5.46782i) q^{63} +(-7.91859 + 1.13837i) q^{64} +(-5.09576 - 8.82612i) q^{65} +(-1.77315 + 2.42267i) q^{66} +(-0.0767867 - 0.286572i) q^{67} +(3.15834 - 6.12622i) q^{68} +(0.349094 + 2.67465i) q^{69} +(-2.67453 + 11.0244i) q^{70} -13.9935i q^{71} +(-8.32833 - 1.62449i) q^{72} +0.0279090i q^{73} +(-11.2177 - 2.72142i) q^{74} +(20.9434 + 8.70240i) q^{75} +(3.59746 + 11.2541i) q^{76} +(0.598214 + 2.23256i) q^{77} +(0.633861 - 5.83444i) q^{78} +(2.19067 + 3.79435i) q^{79} +(13.1203 + 10.8333i) q^{80} +(-7.77410 - 4.53468i) q^{81} +(-5.60358 + 0.133372i) q^{82} +(3.41819 + 0.915902i) q^{83} +(-4.99224 + 4.21326i) q^{84} +(-14.1597 + 3.79408i) q^{85} +(1.22116 + 4.15894i) q^{86} +(0.876906 + 2.12373i) q^{87} +(3.40403 + 0.656106i) q^{88} -4.74894i q^{89} +(9.35845 + 15.4309i) q^{90} +(-3.19483 - 3.19483i) q^{91} +(2.62020 - 1.68387i) q^{92} +(4.32255 - 0.564177i) q^{93} +(-0.572680 - 0.312709i) q^{94} +(12.5645 - 21.7623i) q^{95} +(2.41237 + 9.49634i) q^{96} +(4.17352 + 7.22875i) q^{97} +(-0.115887 - 4.86893i) q^{98} +(3.18025 + 1.84557i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.20757 + 0.736049i −0.853883 + 0.520465i
\(3\) 1.05287 + 1.37530i 0.607877 + 0.794031i
\(4\) 0.916464 1.77767i 0.458232 0.888833i
\(5\) −4.10876 + 1.10094i −1.83750 + 0.492355i −0.998647 0.0520092i \(-0.983437\pi\)
−0.838849 + 0.544365i \(0.816771\pi\)
\(6\) −2.28371 0.885810i −0.932321 0.361631i
\(7\) −1.63313 + 0.942891i −0.617267 + 0.356379i −0.775804 0.630974i \(-0.782656\pi\)
0.158537 + 0.987353i \(0.449322\pi\)
\(8\) 0.201751 + 2.82122i 0.0713297 + 0.997453i
\(9\) −0.782911 + 2.89604i −0.260970 + 0.965347i
\(10\) 4.15129 4.35372i 1.31275 1.37677i
\(11\) 0.317223 1.18389i 0.0956464 0.356957i −0.901470 0.432841i \(-0.857511\pi\)
0.997117 + 0.0758838i \(0.0241778\pi\)
\(12\) 3.40975 0.611243i 0.984309 0.176451i
\(13\) 0.620109 + 2.31428i 0.171987 + 0.641865i 0.997045 + 0.0768171i \(0.0244757\pi\)
−0.825058 + 0.565048i \(0.808858\pi\)
\(14\) 1.27812 2.34068i 0.341591 0.625572i
\(15\) −5.84014 4.49164i −1.50792 1.15974i
\(16\) −2.32019 3.25833i −0.580047 0.814583i
\(17\) 3.44622 0.835831 0.417915 0.908486i \(-0.362761\pi\)
0.417915 + 0.908486i \(0.362761\pi\)
\(18\) −1.18621 4.07344i −0.279591 0.960119i
\(19\) −4.17726 + 4.17726i −0.958328 + 0.958328i −0.999166 0.0408377i \(-0.986997\pi\)
0.0408377 + 0.999166i \(0.486997\pi\)
\(20\) −1.80843 + 8.31298i −0.404378 + 1.85884i
\(21\) −3.01624 1.25331i −0.658199 0.273494i
\(22\) 0.488333 + 1.66313i 0.104113 + 0.354580i
\(23\) 1.34867 + 0.778655i 0.281217 + 0.162361i 0.633974 0.773354i \(-0.281422\pi\)
−0.352757 + 0.935715i \(0.614756\pi\)
\(24\) −3.66761 + 3.24786i −0.748649 + 0.662967i
\(25\) 11.3397 6.54701i 2.26795 1.30940i
\(26\) −2.45225 2.33823i −0.480925 0.458564i
\(27\) −4.80724 + 1.97243i −0.925153 + 0.379594i
\(28\) 0.179434 + 3.76729i 0.0339099 + 0.711951i
\(29\) 1.28135 + 0.343336i 0.237940 + 0.0637558i 0.375818 0.926693i \(-0.377362\pi\)
−0.137878 + 0.990449i \(0.544028\pi\)
\(30\) 10.3585 + 1.12536i 1.89119 + 0.205461i
\(31\) 1.25840 2.17961i 0.226015 0.391469i −0.730609 0.682796i \(-0.760764\pi\)
0.956623 + 0.291327i \(0.0940969\pi\)
\(32\) 5.20009 + 2.22690i 0.919254 + 0.393665i
\(33\) 1.96221 0.810213i 0.341576 0.141040i
\(34\) −4.16156 + 2.53659i −0.713702 + 0.435021i
\(35\) 5.67210 5.67210i 0.958760 0.958760i
\(36\) 4.43068 + 4.04587i 0.738447 + 0.674312i
\(37\) 5.77154 + 5.77154i 0.948836 + 0.948836i 0.998753 0.0499178i \(-0.0158959\pi\)
−0.0499178 + 0.998753i \(0.515896\pi\)
\(38\) 1.96968 8.11900i 0.319524 1.31708i
\(39\) −2.52993 + 3.28948i −0.405114 + 0.526739i
\(40\) −3.93494 11.3696i −0.622169 1.79770i
\(41\) 3.43245 + 1.98173i 0.536058 + 0.309493i 0.743480 0.668758i \(-0.233174\pi\)
−0.207422 + 0.978252i \(0.566507\pi\)
\(42\) 4.56483 0.706643i 0.704369 0.109037i
\(43\) 0.793272 2.96053i 0.120973 0.451477i −0.878691 0.477390i \(-0.841583\pi\)
0.999664 + 0.0259136i \(0.00824948\pi\)
\(44\) −1.81384 1.64891i −0.273447 0.248583i
\(45\) 0.0284289 12.7611i 0.00423794 1.90231i
\(46\) −2.20175 + 0.0524044i −0.324630 + 0.00772660i
\(47\) 0.230692 + 0.399570i 0.0336498 + 0.0582832i 0.882360 0.470575i \(-0.155954\pi\)
−0.848710 + 0.528858i \(0.822620\pi\)
\(48\) 2.03833 6.62157i 0.294207 0.955742i
\(49\) −1.72191 + 2.98244i −0.245988 + 0.426063i
\(50\) −8.87466 + 16.2526i −1.25507 + 2.29846i
\(51\) 3.62844 + 4.73959i 0.508083 + 0.663676i
\(52\) 4.68232 + 1.01861i 0.649321 + 0.141255i
\(53\) 5.61507 + 5.61507i 0.771289 + 0.771289i 0.978332 0.207043i \(-0.0663838\pi\)
−0.207043 + 0.978332i \(0.566384\pi\)
\(54\) 4.35329 5.92021i 0.592407 0.805639i
\(55\) 5.21358i 0.702999i
\(56\) −2.98959 4.41721i −0.399501 0.590274i
\(57\) −10.1431 1.34686i −1.34349 0.178396i
\(58\) −1.80003 + 0.528530i −0.236355 + 0.0693994i
\(59\) −10.9262 + 2.92766i −1.42247 + 0.381148i −0.886358 0.463001i \(-0.846773\pi\)
−0.536108 + 0.844150i \(0.680106\pi\)
\(60\) −13.3369 + 6.26538i −1.72179 + 0.808857i
\(61\) −4.74261 1.27078i −0.607229 0.162707i −0.0579138 0.998322i \(-0.518445\pi\)
−0.549316 + 0.835615i \(0.685112\pi\)
\(62\) 0.0846915 + 3.55828i 0.0107558 + 0.451902i
\(63\) −1.45205 5.46782i −0.182941 0.688881i
\(64\) −7.91859 + 1.13837i −0.989824 + 0.142296i
\(65\) −5.09576 8.82612i −0.632052 1.09475i
\(66\) −1.77315 + 2.42267i −0.218260 + 0.298210i
\(67\) −0.0767867 0.286572i −0.00938099 0.0350103i 0.961077 0.276282i \(-0.0891023\pi\)
−0.970458 + 0.241271i \(0.922436\pi\)
\(68\) 3.15834 6.12622i 0.383005 0.742914i
\(69\) 0.349094 + 2.67465i 0.0420260 + 0.321991i
\(70\) −2.67453 + 11.0244i −0.319668 + 1.31767i
\(71\) 13.9935i 1.66073i −0.557221 0.830364i \(-0.688133\pi\)
0.557221 0.830364i \(-0.311867\pi\)
\(72\) −8.32833 1.62449i −0.981503 0.191448i
\(73\) 0.0279090i 0.00326650i 0.999999 + 0.00163325i \(0.000519880\pi\)
−0.999999 + 0.00163325i \(0.999480\pi\)
\(74\) −11.2177 2.72142i −1.30403 0.316359i
\(75\) 20.9434 + 8.70240i 2.41834 + 1.00487i
\(76\) 3.59746 + 11.2541i 0.412656 + 1.29093i
\(77\) 0.598214 + 2.23256i 0.0681728 + 0.254424i
\(78\) 0.633861 5.83444i 0.0717706 0.660621i
\(79\) 2.19067 + 3.79435i 0.246470 + 0.426898i 0.962544 0.271126i \(-0.0873960\pi\)
−0.716074 + 0.698024i \(0.754063\pi\)
\(80\) 13.1203 + 10.8333i 1.46690 + 1.21120i
\(81\) −7.77410 4.53468i −0.863789 0.503854i
\(82\) −5.60358 + 0.133372i −0.618812 + 0.0147285i
\(83\) 3.41819 + 0.915902i 0.375195 + 0.100533i 0.441489 0.897267i \(-0.354451\pi\)
−0.0662931 + 0.997800i \(0.521117\pi\)
\(84\) −4.99224 + 4.21326i −0.544698 + 0.459705i
\(85\) −14.1597 + 3.79408i −1.53584 + 0.411526i
\(86\) 1.22116 + 4.15894i 0.131681 + 0.448470i
\(87\) 0.876906 + 2.12373i 0.0940142 + 0.227687i
\(88\) 3.40403 + 0.656106i 0.362871 + 0.0699411i
\(89\) 4.74894i 0.503386i −0.967807 0.251693i \(-0.919013\pi\)
0.967807 0.251693i \(-0.0809874\pi\)
\(90\) 9.35845 + 15.4309i 0.986468 + 1.62656i
\(91\) −3.19483 3.19483i −0.334909 0.334909i
\(92\) 2.62020 1.68387i 0.273174 0.175556i
\(93\) 4.32255 0.564177i 0.448228 0.0585025i
\(94\) −0.572680 0.312709i −0.0590674 0.0322535i
\(95\) 12.5645 21.7623i 1.28909 2.23276i
\(96\) 2.41237 + 9.49634i 0.246212 + 0.969216i
\(97\) 4.17352 + 7.22875i 0.423757 + 0.733968i 0.996303 0.0859041i \(-0.0273779\pi\)
−0.572547 + 0.819872i \(0.694045\pi\)
\(98\) −0.115887 4.86893i −0.0117063 0.491836i
\(99\) 3.18025 + 1.84557i 0.319627 + 0.185487i
\(100\) −1.24591 26.1584i −0.124591 2.61584i
\(101\) 1.93134 7.20785i 0.192175 0.717208i −0.800805 0.598926i \(-0.795594\pi\)
0.992980 0.118282i \(-0.0377388\pi\)
\(102\) −7.87017 3.05270i −0.779263 0.302262i
\(103\) −12.2204 7.05547i −1.20411 0.695196i −0.242647 0.970115i \(-0.578016\pi\)
−0.961468 + 0.274919i \(0.911349\pi\)
\(104\) −6.40399 + 2.21637i −0.627962 + 0.217333i
\(105\) 13.7729 + 1.82884i 1.34409 + 0.178477i
\(106\) −10.9136 2.64764i −1.06002 0.257162i
\(107\) −3.84992 3.84992i −0.372186 0.372186i 0.496087 0.868273i \(-0.334770\pi\)
−0.868273 + 0.496087i \(0.834770\pi\)
\(108\) −0.899344 + 10.3533i −0.0865394 + 0.996248i
\(109\) 2.08616 2.08616i 0.199818 0.199818i −0.600104 0.799922i \(-0.704874\pi\)
0.799922 + 0.600104i \(0.204874\pi\)
\(110\) −3.83745 6.29578i −0.365887 0.600279i
\(111\) −1.86090 + 14.0143i −0.176629 + 1.33018i
\(112\) 6.86143 + 3.13361i 0.648344 + 0.296099i
\(113\) −2.04799 + 3.54722i −0.192658 + 0.333694i −0.946130 0.323786i \(-0.895044\pi\)
0.753472 + 0.657480i \(0.228378\pi\)
\(114\) 13.2399 5.83939i 1.24003 0.546909i
\(115\) −6.39862 1.71451i −0.596674 0.159878i
\(116\) 1.78464 1.96315i 0.165700 0.182274i
\(117\) −7.18773 0.0160127i −0.664506 0.00148038i
\(118\) 11.0392 11.5775i 1.01624 1.06580i
\(119\) −5.62814 + 3.24941i −0.515931 + 0.297873i
\(120\) 11.4937 17.3825i 1.04922 1.58680i
\(121\) 8.22531 + 4.74888i 0.747755 + 0.431717i
\(122\) 6.66241 1.95624i 0.603186 0.177109i
\(123\) 0.888467 + 6.80716i 0.0801104 + 0.613781i
\(124\) −2.72134 4.23454i −0.244383 0.380273i
\(125\) −24.3454 + 24.3454i −2.17752 + 2.17752i
\(126\) 5.77804 + 5.53401i 0.514749 + 0.493009i
\(127\) 4.89832 0.434656 0.217328 0.976099i \(-0.430266\pi\)
0.217328 + 0.976099i \(0.430266\pi\)
\(128\) 8.72438 7.20313i 0.771134 0.636673i
\(129\) 4.90684 2.02608i 0.432023 0.178386i
\(130\) 12.6500 + 6.90745i 1.10947 + 0.605824i
\(131\) 4.76283 + 17.7751i 0.416130 + 1.55302i 0.782561 + 0.622574i \(0.213913\pi\)
−0.366430 + 0.930446i \(0.619420\pi\)
\(132\) 0.358005 4.23068i 0.0311603 0.368233i
\(133\) 2.88332 10.7607i 0.250016 0.933072i
\(134\) 0.303657 + 0.289538i 0.0262319 + 0.0250123i
\(135\) 17.5803 13.3967i 1.51307 1.15301i
\(136\) 0.695278 + 9.72255i 0.0596196 + 0.833702i
\(137\) −13.4198 + 7.74793i −1.14653 + 0.661950i −0.948040 0.318153i \(-0.896938\pi\)
−0.198492 + 0.980103i \(0.563604\pi\)
\(138\) −2.39023 2.97289i −0.203470 0.253069i
\(139\) 7.12209 1.90836i 0.604088 0.161865i 0.0562039 0.998419i \(-0.482100\pi\)
0.547884 + 0.836555i \(0.315434\pi\)
\(140\) −4.88482 15.2814i −0.412842 1.29151i
\(141\) −0.306640 + 0.737967i −0.0258237 + 0.0621480i
\(142\) 10.2999 + 16.8982i 0.864351 + 1.41807i
\(143\) 2.93657 0.245568
\(144\) 11.2528 4.16837i 0.937730 0.347364i
\(145\) −5.64274 −0.468604
\(146\) −0.0205424 0.0337022i −0.00170010 0.00278921i
\(147\) −5.91472 + 0.771986i −0.487838 + 0.0636723i
\(148\) 15.5493 4.97046i 1.27814 0.408569i
\(149\) 7.46026 1.99897i 0.611168 0.163762i 0.0600585 0.998195i \(-0.480871\pi\)
0.551110 + 0.834433i \(0.314205\pi\)
\(150\) −31.6961 + 4.90661i −2.58798 + 0.400623i
\(151\) −3.36540 + 1.94301i −0.273872 + 0.158120i −0.630646 0.776071i \(-0.717210\pi\)
0.356774 + 0.934191i \(0.383877\pi\)
\(152\) −12.6277 10.9422i −1.02424 0.887530i
\(153\) −2.69808 + 9.98039i −0.218127 + 0.806867i
\(154\) −2.36566 2.25567i −0.190631 0.181767i
\(155\) −2.77084 + 10.3409i −0.222559 + 0.830602i
\(156\) 3.52900 + 7.51207i 0.282546 + 0.601447i
\(157\) −1.67026 6.23351i −0.133302 0.497488i 0.866698 0.498834i \(-0.166238\pi\)
−0.999999 + 0.00134577i \(0.999572\pi\)
\(158\) −5.43823 2.96952i −0.432642 0.236242i
\(159\) −1.81045 + 13.6344i −0.143578 + 1.08128i
\(160\) −23.8176 3.42484i −1.88295 0.270757i
\(161\) −2.93675 −0.231448
\(162\) 12.7255 0.246158i 0.999813 0.0193400i
\(163\) 10.5783 10.5783i 0.828556 0.828556i −0.158761 0.987317i \(-0.550750\pi\)
0.987317 + 0.158761i \(0.0507499\pi\)
\(164\) 6.66856 4.28556i 0.520727 0.334646i
\(165\) −7.17025 + 5.48925i −0.558203 + 0.427337i
\(166\) −4.80187 + 1.40994i −0.372697 + 0.109432i
\(167\) 18.7147 + 10.8050i 1.44819 + 0.836112i 0.998374 0.0570092i \(-0.0181564\pi\)
0.449815 + 0.893122i \(0.351490\pi\)
\(168\) 2.92733 8.76235i 0.225848 0.676030i
\(169\) 6.28698 3.62979i 0.483614 0.279215i
\(170\) 14.3062 15.0039i 1.09724 1.15074i
\(171\) −8.82708 15.3679i −0.675024 1.17521i
\(172\) −4.53583 4.12339i −0.345854 0.314406i
\(173\) 18.6969 + 5.00981i 1.42150 + 0.380889i 0.886015 0.463657i \(-0.153463\pi\)
0.535483 + 0.844546i \(0.320130\pi\)
\(174\) −2.62209 1.91911i −0.198780 0.145487i
\(175\) −12.3462 + 21.3843i −0.933287 + 1.61650i
\(176\) −4.59354 + 1.71323i −0.346251 + 0.129140i
\(177\) −15.5303 11.9443i −1.16733 0.897790i
\(178\) 3.49545 + 5.73469i 0.261995 + 0.429833i
\(179\) −2.88152 + 2.88152i −0.215375 + 0.215375i −0.806546 0.591171i \(-0.798666\pi\)
0.591171 + 0.806546i \(0.298666\pi\)
\(180\) −22.6589 11.7456i −1.68889 0.875467i
\(181\) −9.50186 9.50186i −0.706268 0.706268i 0.259480 0.965748i \(-0.416449\pi\)
−0.965748 + 0.259480i \(0.916449\pi\)
\(182\) 6.20954 + 1.50644i 0.460282 + 0.111665i
\(183\) −3.24567 7.86050i −0.239927 0.581065i
\(184\) −1.92466 + 3.96199i −0.141888 + 0.292082i
\(185\) −30.0680 17.3598i −2.21065 1.27632i
\(186\) −4.80453 + 3.86289i −0.352286 + 0.283241i
\(187\) 1.09322 4.07996i 0.0799442 0.298356i
\(188\) 0.921721 0.0439012i 0.0672234 0.00320182i
\(189\) 5.99108 7.75394i 0.435787 0.564016i
\(190\) 0.845602 + 35.5276i 0.0613464 + 2.57744i
\(191\) 2.36417 + 4.09487i 0.171066 + 0.296294i 0.938793 0.344483i \(-0.111946\pi\)
−0.767727 + 0.640777i \(0.778612\pi\)
\(192\) −9.90289 9.69190i −0.714679 0.699452i
\(193\) 9.76542 16.9142i 0.702931 1.21751i −0.264503 0.964385i \(-0.585208\pi\)
0.967433 0.253127i \(-0.0814589\pi\)
\(194\) −10.3605 5.65732i −0.743843 0.406172i
\(195\) 6.77338 16.3010i 0.485052 1.16734i
\(196\) 3.72371 + 5.79429i 0.265979 + 0.413878i
\(197\) 6.89966 + 6.89966i 0.491581 + 0.491581i 0.908804 0.417223i \(-0.136997\pi\)
−0.417223 + 0.908804i \(0.636997\pi\)
\(198\) −5.19881 + 0.112151i −0.369463 + 0.00797020i
\(199\) 24.4752i 1.73500i 0.497438 + 0.867500i \(0.334274\pi\)
−0.497438 + 0.867500i \(0.665726\pi\)
\(200\) 20.7584 + 30.6711i 1.46784 + 2.16877i
\(201\) 0.313276 0.407329i 0.0220968 0.0287308i
\(202\) 2.97310 + 10.1256i 0.209187 + 0.712432i
\(203\) −2.41634 + 0.647456i −0.169594 + 0.0454425i
\(204\) 11.7507 2.10648i 0.822716 0.147483i
\(205\) −16.2849 4.36352i −1.13739 0.304762i
\(206\) 19.9502 0.474841i 1.39000 0.0330837i
\(207\) −3.31090 + 3.29619i −0.230124 + 0.229101i
\(208\) 6.10192 7.39008i 0.423092 0.512410i
\(209\) 3.62030 + 6.27055i 0.250422 + 0.433743i
\(210\) −17.9778 + 7.92904i −1.24059 + 0.547155i
\(211\) −5.67623 21.1840i −0.390768 1.45837i −0.828870 0.559441i \(-0.811016\pi\)
0.438102 0.898925i \(-0.355651\pi\)
\(212\) 15.1277 4.83570i 1.03898 0.332118i
\(213\) 19.2453 14.7334i 1.31867 1.00952i
\(214\) 7.48279 + 1.81533i 0.511513 + 0.124093i
\(215\) 13.0375i 0.889148i
\(216\) −6.53452 13.1643i −0.444618 0.895720i
\(217\) 4.74612i 0.322188i
\(218\) −0.983675 + 4.05471i −0.0666229 + 0.274619i
\(219\) −0.0383833 + 0.0293847i −0.00259370 + 0.00198563i
\(220\) 9.26801 + 4.77806i 0.624849 + 0.322137i
\(221\) 2.13703 + 7.97551i 0.143752 + 0.536491i
\(222\) −8.06805 18.2930i −0.541492 1.22775i
\(223\) −1.56986 2.71908i −0.105126 0.182083i 0.808664 0.588271i \(-0.200191\pi\)
−0.913790 + 0.406188i \(0.866858\pi\)
\(224\) −10.5922 + 1.26628i −0.707719 + 0.0846068i
\(225\) 10.0824 + 37.9661i 0.672159 + 2.53107i
\(226\) −0.137832 5.79094i −0.00916844 0.385208i
\(227\) −13.6026 3.64479i −0.902833 0.241913i −0.222601 0.974910i \(-0.571455\pi\)
−0.680233 + 0.732996i \(0.738121\pi\)
\(228\) −11.6901 + 16.7967i −0.774194 + 1.11239i
\(229\) 18.3325 4.91218i 1.21145 0.324606i 0.404117 0.914707i \(-0.367579\pi\)
0.807330 + 0.590101i \(0.200912\pi\)
\(230\) 8.98876 2.63931i 0.592701 0.174031i
\(231\) −2.44061 + 3.17333i −0.160580 + 0.208790i
\(232\) −0.710113 + 3.68423i −0.0466212 + 0.241881i
\(233\) 12.6802i 0.830708i 0.909660 + 0.415354i \(0.136342\pi\)
−0.909660 + 0.415354i \(0.863658\pi\)
\(234\) 8.69150 5.27119i 0.568181 0.344588i
\(235\) −1.38776 1.38776i −0.0905275 0.0905275i
\(236\) −4.80905 + 22.1062i −0.313042 + 1.43899i
\(237\) −2.91188 + 7.00781i −0.189147 + 0.455206i
\(238\) 4.40466 8.06648i 0.285512 0.522872i
\(239\) −3.69405 + 6.39829i −0.238948 + 0.413871i −0.960413 0.278581i \(-0.910136\pi\)
0.721464 + 0.692451i \(0.243469\pi\)
\(240\) −1.08505 + 29.4506i −0.0700396 + 1.90103i
\(241\) 11.1955 + 19.3912i 0.721167 + 1.24910i 0.960533 + 0.278168i \(0.0897271\pi\)
−0.239366 + 0.970929i \(0.576940\pi\)
\(242\) −13.4281 + 0.319605i −0.863189 + 0.0205450i
\(243\) −1.94859 15.4662i −0.125002 0.992156i
\(244\) −6.60546 + 7.26615i −0.422871 + 0.465168i
\(245\) 3.79145 14.1499i 0.242227 0.904003i
\(246\) −6.08329 7.56619i −0.387856 0.482402i
\(247\) −12.2577 7.07698i −0.779938 0.450297i
\(248\) 6.40304 + 3.11048i 0.406593 + 0.197516i
\(249\) 2.33929 + 5.66538i 0.148246 + 0.359029i
\(250\) 11.4794 47.3182i 0.726023 2.99267i
\(251\) −7.52339 7.52339i −0.474872 0.474872i 0.428615 0.903487i \(-0.359002\pi\)
−0.903487 + 0.428615i \(0.859002\pi\)
\(252\) −11.0507 2.42980i −0.696129 0.153063i
\(253\) 1.34967 1.34967i 0.0848533 0.0848533i
\(254\) −5.91508 + 3.60540i −0.371145 + 0.226223i
\(255\) −20.1264 15.4792i −1.26036 0.969343i
\(256\) −5.23347 + 15.1199i −0.327092 + 0.944993i
\(257\) 2.21664 3.83934i 0.138270 0.239491i −0.788572 0.614943i \(-0.789179\pi\)
0.926842 + 0.375452i \(0.122512\pi\)
\(258\) −4.43407 + 6.05831i −0.276053 + 0.377174i
\(259\) −14.8676 3.98377i −0.923830 0.247539i
\(260\) −20.3600 + 0.969736i −1.26267 + 0.0601405i
\(261\) −1.99749 + 3.44203i −0.123642 + 0.213056i
\(262\) −18.8348 17.9591i −1.16362 1.10952i
\(263\) −4.61948 + 2.66706i −0.284850 + 0.164458i −0.635617 0.772005i \(-0.719254\pi\)
0.350767 + 0.936463i \(0.385921\pi\)
\(264\) 2.68167 + 5.37236i 0.165045 + 0.330646i
\(265\) −29.2529 16.8891i −1.79699 1.03749i
\(266\) 4.43859 + 15.1166i 0.272147 + 0.926859i
\(267\) 6.53122 5.00004i 0.399704 0.305997i
\(268\) −0.579801 0.126132i −0.0354170 0.00770473i
\(269\) 20.6406 20.6406i 1.25848 1.25848i 0.306663 0.951818i \(-0.400788\pi\)
0.951818 0.306663i \(-0.0992124\pi\)
\(270\) −11.3688 + 29.1175i −0.691885 + 1.77203i
\(271\) 23.2339 1.41136 0.705680 0.708530i \(-0.250642\pi\)
0.705680 + 0.708530i \(0.250642\pi\)
\(272\) −7.99587 11.2289i −0.484821 0.680854i
\(273\) 1.03010 7.75762i 0.0623446 0.469512i
\(274\) 10.5025 19.2338i 0.634481 1.16196i
\(275\) −4.15373 15.5019i −0.250479 0.934801i
\(276\) 5.07457 + 1.83065i 0.305453 + 0.110192i
\(277\) −5.09351 + 19.0092i −0.306039 + 1.14215i 0.626007 + 0.779817i \(0.284688\pi\)
−0.932047 + 0.362338i \(0.881979\pi\)
\(278\) −7.19579 + 7.54668i −0.431575 + 0.452620i
\(279\) 5.32702 + 5.35081i 0.318920 + 0.320344i
\(280\) 17.1466 + 14.8579i 1.02471 + 0.887929i
\(281\) 16.3011 9.41146i 0.972444 0.561441i 0.0724633 0.997371i \(-0.476914\pi\)
0.899980 + 0.435930i \(0.143581\pi\)
\(282\) −0.172890 1.11685i −0.0102955 0.0665075i
\(283\) 12.8326 3.43848i 0.762819 0.204397i 0.143622 0.989633i \(-0.454125\pi\)
0.619197 + 0.785236i \(0.287458\pi\)
\(284\) −24.8758 12.8246i −1.47611 0.760999i
\(285\) 43.1585 5.63302i 2.55649 0.333671i
\(286\) −3.54612 + 2.16146i −0.209687 + 0.127810i
\(287\) −7.47420 −0.441188
\(288\) −10.5204 + 13.3162i −0.619921 + 0.784664i
\(289\) −5.12358 −0.301387
\(290\) 6.81402 4.15333i 0.400133 0.243892i
\(291\) −5.54752 + 13.3508i −0.325201 + 0.782638i
\(292\) 0.0496129 + 0.0255776i 0.00290337 + 0.00149682i
\(293\) −8.23584 + 2.20679i −0.481143 + 0.128922i −0.491235 0.871027i \(-0.663454\pi\)
0.0100919 + 0.999949i \(0.496788\pi\)
\(294\) 6.57424 5.28575i 0.383417 0.308271i
\(295\) 41.6699 24.0581i 2.42611 1.40072i
\(296\) −15.1184 + 17.4472i −0.878738 + 1.01410i
\(297\) 0.810177 + 6.31696i 0.0470113 + 0.366547i
\(298\) −7.53746 + 7.90502i −0.436634 + 0.457925i
\(299\) −0.965702 + 3.60405i −0.0558480 + 0.208427i
\(300\) 34.6639 29.2550i 2.00132 1.68904i
\(301\) 1.49594 + 5.58291i 0.0862244 + 0.321794i
\(302\) 2.63381 4.82343i 0.151559 0.277557i
\(303\) 11.9464 4.93279i 0.686304 0.283381i
\(304\) 23.3029 + 3.91888i 1.33651 + 0.224763i
\(305\) 20.8853 1.19589
\(306\) −4.08792 14.0380i −0.233691 0.802497i
\(307\) −7.13558 + 7.13558i −0.407249 + 0.407249i −0.880778 0.473529i \(-0.842980\pi\)
0.473529 + 0.880778i \(0.342980\pi\)
\(308\) 4.51699 + 0.982641i 0.257380 + 0.0559912i
\(309\) −3.16318 24.2353i −0.179947 1.37870i
\(310\) −4.26543 14.5269i −0.242260 0.825071i
\(311\) −10.0741 5.81630i −0.571252 0.329812i 0.186397 0.982474i \(-0.440319\pi\)
−0.757649 + 0.652662i \(0.773652\pi\)
\(312\) −9.79077 6.47385i −0.554293 0.366510i
\(313\) −5.76956 + 3.33106i −0.326115 + 0.188282i −0.654115 0.756395i \(-0.726959\pi\)
0.328000 + 0.944678i \(0.393625\pi\)
\(314\) 6.60513 + 6.29802i 0.372749 + 0.355418i
\(315\) 11.9859 + 20.8674i 0.675328 + 1.17574i
\(316\) 8.75276 0.416890i 0.492381 0.0234519i
\(317\) −2.64447 0.708583i −0.148528 0.0397980i 0.183789 0.982966i \(-0.441164\pi\)
−0.332317 + 0.943168i \(0.607830\pi\)
\(318\) −7.84932 17.7971i −0.440168 0.998012i
\(319\) 0.812945 1.40806i 0.0455162 0.0788364i
\(320\) 31.2824 13.3952i 1.74874 0.748814i
\(321\) 1.24132 9.34829i 0.0692837 0.521770i
\(322\) 3.54633 2.16159i 0.197630 0.120461i
\(323\) −14.3957 + 14.3957i −0.801000 + 0.801000i
\(324\) −15.1858 + 9.66387i −0.843657 + 0.536882i
\(325\) 22.1835 + 22.1835i 1.23052 + 1.23052i
\(326\) −4.98792 + 20.5602i −0.276255 + 1.13872i
\(327\) 5.06557 + 0.672636i 0.280126 + 0.0371968i
\(328\) −4.89839 + 10.0835i −0.270468 + 0.556769i
\(329\) −0.753501 0.435034i −0.0415418 0.0239842i
\(330\) 4.61825 11.9063i 0.254226 0.655422i
\(331\) 5.27295 19.6789i 0.289827 1.08165i −0.655412 0.755272i \(-0.727505\pi\)
0.945239 0.326379i \(-0.105829\pi\)
\(332\) 4.76082 5.23701i 0.261284 0.287418i
\(333\) −21.2332 + 12.1960i −1.16357 + 0.668337i
\(334\) −30.5524 + 0.727186i −1.67175 + 0.0397898i
\(335\) 0.630997 + 1.09292i 0.0344751 + 0.0597126i
\(336\) 2.91456 + 12.7358i 0.159002 + 0.694797i
\(337\) −0.514533 + 0.891197i −0.0280284 + 0.0485466i −0.879699 0.475530i \(-0.842256\pi\)
0.851671 + 0.524077i \(0.175590\pi\)
\(338\) −4.92029 + 9.01076i −0.267628 + 0.490121i
\(339\) −7.03477 + 0.918174i −0.382076 + 0.0498684i
\(340\) −6.23226 + 28.6483i −0.337991 + 1.55367i
\(341\) −2.18123 2.18123i −0.118120 0.118120i
\(342\) 21.9709 + 12.0607i 1.18805 + 0.652169i
\(343\) 19.6948i 1.06342i
\(344\) 8.51236 + 1.64071i 0.458956 + 0.0884610i
\(345\) −4.37898 10.6052i −0.235756 0.570964i
\(346\) −26.2653 + 7.71210i −1.41203 + 0.414605i
\(347\) 30.1559 8.08026i 1.61886 0.433771i 0.668191 0.743990i \(-0.267069\pi\)
0.950665 + 0.310219i \(0.100402\pi\)
\(348\) 4.57893 + 0.387474i 0.245456 + 0.0207708i
\(349\) −17.2540 4.62320i −0.923587 0.247474i −0.234469 0.972124i \(-0.575335\pi\)
−0.689118 + 0.724649i \(0.742002\pi\)
\(350\) −0.830915 34.9105i −0.0444143 1.86605i
\(351\) −7.54576 9.90216i −0.402763 0.528538i
\(352\) 4.28601 5.44992i 0.228445 0.290482i
\(353\) −1.02827 1.78101i −0.0547291 0.0947935i 0.837363 0.546647i \(-0.184096\pi\)
−0.892092 + 0.451854i \(0.850763\pi\)
\(354\) 27.5456 + 2.99258i 1.46403 + 0.159054i
\(355\) 15.4061 + 57.4962i 0.817668 + 3.05158i
\(356\) −8.44202 4.35223i −0.447426 0.230668i
\(357\) −10.3946 4.31917i −0.550143 0.228595i
\(358\) 1.35871 5.60059i 0.0718099 0.296000i
\(359\) 4.76579i 0.251529i 0.992060 + 0.125764i \(0.0401383\pi\)
−0.992060 + 0.125764i \(0.959862\pi\)
\(360\) 36.0076 2.49436i 1.89777 0.131464i
\(361\) 15.8989i 0.836785i
\(362\) 18.4680 + 4.48036i 0.970658 + 0.235482i
\(363\) 2.12907 + 16.3123i 0.111747 + 0.856171i
\(364\) −8.60729 + 2.75139i −0.451145 + 0.144212i
\(365\) −0.0307261 0.114672i −0.00160828 0.00600218i
\(366\) 9.70509 + 7.10315i 0.507293 + 0.371288i
\(367\) 8.61021 + 14.9133i 0.449449 + 0.778469i 0.998350 0.0574187i \(-0.0182870\pi\)
−0.548901 + 0.835887i \(0.684954\pi\)
\(368\) −0.592049 6.20104i −0.0308627 0.323252i
\(369\) −8.42646 + 8.38900i −0.438664 + 0.436714i
\(370\) 49.0870 1.16833i 2.55191 0.0607387i
\(371\) −14.4646 3.87577i −0.750963 0.201220i
\(372\) 2.95855 8.20110i 0.153393 0.425207i
\(373\) −16.0383 + 4.29744i −0.830430 + 0.222513i −0.648901 0.760872i \(-0.724771\pi\)
−0.181529 + 0.983386i \(0.558105\pi\)
\(374\) 1.68290 + 5.73151i 0.0870208 + 0.296369i
\(375\) −59.1149 7.84962i −3.05268 0.405353i
\(376\) −1.08073 + 0.731446i −0.0557345 + 0.0377214i
\(377\) 3.17830i 0.163691i
\(378\) −1.52739 + 13.7732i −0.0785603 + 0.708416i
\(379\) −22.5741 22.5741i −1.15955 1.15955i −0.984572 0.174981i \(-0.944013\pi\)
−0.174981 0.984572i \(-0.555987\pi\)
\(380\) −27.1712 42.2797i −1.39385 2.16890i
\(381\) 5.15731 + 6.73667i 0.264217 + 0.345130i
\(382\) −5.86894 3.20471i −0.300281 0.163967i
\(383\) −12.6153 + 21.8504i −0.644614 + 1.11650i 0.339777 + 0.940506i \(0.389648\pi\)
−0.984391 + 0.175997i \(0.943685\pi\)
\(384\) 19.0922 + 4.41466i 0.974293 + 0.225285i
\(385\) −4.91584 8.51448i −0.250534 0.433938i
\(386\) 0.657224 + 27.6130i 0.0334518 + 1.40546i
\(387\) 7.95276 + 4.61518i 0.404261 + 0.234603i
\(388\) 16.6752 0.794231i 0.846554 0.0403210i
\(389\) −1.90129 + 7.09570i −0.0963991 + 0.359766i −0.997228 0.0744082i \(-0.976293\pi\)
0.900829 + 0.434175i \(0.142960\pi\)
\(390\) 3.81899 + 24.6702i 0.193382 + 1.24922i
\(391\) 4.64781 + 2.68342i 0.235050 + 0.135706i
\(392\) −8.76154 4.25619i −0.442524 0.214970i
\(393\) −19.4315 + 25.2653i −0.980190 + 1.27447i
\(394\) −13.4103 3.25336i −0.675603 0.163902i
\(395\) −13.1783 13.1783i −0.663073 0.663073i
\(396\) 6.19540 3.96201i 0.311330 0.199098i
\(397\) −2.23236 + 2.23236i −0.112039 + 0.112039i −0.760904 0.648865i \(-0.775244\pi\)
0.648865 + 0.760904i \(0.275244\pi\)
\(398\) −18.0149 29.5556i −0.903007 1.48149i
\(399\) 17.8350 7.36424i 0.892867 0.368673i
\(400\) −47.6427 21.7584i −2.38213 1.08792i
\(401\) 9.10949 15.7781i 0.454906 0.787921i −0.543777 0.839230i \(-0.683006\pi\)
0.998683 + 0.0513094i \(0.0163395\pi\)
\(402\) −0.0784896 + 0.722466i −0.00391471 + 0.0360334i
\(403\) 5.82456 + 1.56069i 0.290142 + 0.0777433i
\(404\) −11.0431 10.0390i −0.549417 0.499460i
\(405\) 36.9344 + 10.0731i 1.83528 + 0.500538i
\(406\) 2.44134 2.56039i 0.121162 0.127070i
\(407\) 8.66376 5.00202i 0.429447 0.247941i
\(408\) −12.6394 + 11.1928i −0.625744 + 0.554128i
\(409\) 22.6986 + 13.1050i 1.12237 + 0.648002i 0.942006 0.335597i \(-0.108938\pi\)
0.180368 + 0.983599i \(0.442271\pi\)
\(410\) 22.8769 6.71720i 1.12981 0.331739i
\(411\) −24.7851 10.2987i −1.22256 0.507997i
\(412\) −23.7419 + 15.2577i −1.16968 + 0.751695i
\(413\) 15.0834 15.0834i 0.742207 0.742207i
\(414\) 1.57201 6.41737i 0.0772598 0.315397i
\(415\) −15.0529 −0.738918
\(416\) −1.92905 + 13.4154i −0.0945797 + 0.657743i
\(417\) 10.1232 + 7.78576i 0.495737 + 0.381270i
\(418\) −8.98721 4.90742i −0.439579 0.240030i
\(419\) −3.00645 11.2202i −0.146875 0.548144i −0.999665 0.0258901i \(-0.991758\pi\)
0.852790 0.522254i \(-0.174909\pi\)
\(420\) 15.8734 22.8075i 0.774542 1.11289i
\(421\) 2.61129 9.74548i 0.127267 0.474966i −0.872644 0.488358i \(-0.837596\pi\)
0.999910 + 0.0133918i \(0.00426287\pi\)
\(422\) 22.4469 + 21.4032i 1.09270 + 1.04189i
\(423\) −1.33778 + 0.355265i −0.0650451 + 0.0172736i
\(424\) −14.7085 + 16.9742i −0.714309 + 0.824341i
\(425\) 39.0793 22.5624i 1.89562 1.09444i
\(426\) −12.3956 + 31.9572i −0.600570 + 1.54833i
\(427\) 8.94353 2.39641i 0.432808 0.115970i
\(428\) −10.3722 + 3.31555i −0.501358 + 0.160263i
\(429\) 3.09184 + 4.03867i 0.149276 + 0.194989i
\(430\) −9.59621 15.7437i −0.462770 0.759228i
\(431\) −4.07825 −0.196442 −0.0982211 0.995165i \(-0.531315\pi\)
−0.0982211 + 0.995165i \(0.531315\pi\)
\(432\) 17.5805 + 11.0872i 0.845843 + 0.533432i
\(433\) −25.1331 −1.20782 −0.603910 0.797052i \(-0.706392\pi\)
−0.603910 + 0.797052i \(0.706392\pi\)
\(434\) −3.49338 5.73129i −0.167687 0.275111i
\(435\) −5.94110 7.76047i −0.284854 0.372086i
\(436\) −1.79660 5.62039i −0.0860417 0.269168i
\(437\) −8.88638 + 2.38110i −0.425093 + 0.113903i
\(438\) 0.0247221 0.0637361i 0.00118127 0.00304543i
\(439\) −13.5272 + 7.80991i −0.645616 + 0.372747i −0.786775 0.617240i \(-0.788251\pi\)
0.141158 + 0.989987i \(0.454917\pi\)
\(440\) −14.7087 + 1.05185i −0.701209 + 0.0501448i
\(441\) −7.28917 7.32172i −0.347103 0.348653i
\(442\) −8.45098 8.05805i −0.401972 0.383282i
\(443\) −8.75415 + 32.6709i −0.415922 + 1.55224i 0.367060 + 0.930197i \(0.380364\pi\)
−0.782982 + 0.622045i \(0.786302\pi\)
\(444\) 23.2073 + 16.1517i 1.10137 + 0.766525i
\(445\) 5.22830 + 19.5123i 0.247845 + 0.924970i
\(446\) 3.89710 + 2.12799i 0.184533 + 0.100763i
\(447\) 10.6039 + 8.15544i 0.501547 + 0.385739i
\(448\) 11.8588 9.32548i 0.560274 0.440587i
\(449\) −28.0284 −1.32274 −0.661370 0.750060i \(-0.730025\pi\)
−0.661370 + 0.750060i \(0.730025\pi\)
\(450\) −40.1201 38.4257i −1.89128 1.81140i
\(451\) 3.43500 3.43500i 0.161748 0.161748i
\(452\) 4.42886 + 6.89153i 0.208316 + 0.324150i
\(453\) −6.21557 2.58269i −0.292033 0.121345i
\(454\) 19.1088 5.61079i 0.896821 0.263327i
\(455\) 16.6441 + 9.60949i 0.780289 + 0.450500i
\(456\) 1.75341 28.8877i 0.0821111 1.35279i
\(457\) −14.8363 + 8.56574i −0.694012 + 0.400688i −0.805113 0.593121i \(-0.797896\pi\)
0.111101 + 0.993809i \(0.464562\pi\)
\(458\) −18.5222 + 19.4254i −0.865488 + 0.907692i
\(459\) −16.5668 + 6.79742i −0.773272 + 0.317276i
\(460\) −8.91192 + 9.80332i −0.415521 + 0.457082i
\(461\) −9.09603 2.43727i −0.423644 0.113515i 0.0406970 0.999172i \(-0.487042\pi\)
−0.464341 + 0.885656i \(0.653709\pi\)
\(462\) 0.611480 5.62844i 0.0284486 0.261859i
\(463\) −0.777204 + 1.34616i −0.0361197 + 0.0625612i −0.883520 0.468393i \(-0.844833\pi\)
0.847400 + 0.530954i \(0.178166\pi\)
\(464\) −1.85426 4.97165i −0.0860818 0.230803i
\(465\) −17.1392 + 7.07694i −0.794812 + 0.328185i
\(466\) −9.33326 15.3123i −0.432355 0.709328i
\(467\) 9.81211 9.81211i 0.454050 0.454050i −0.442646 0.896696i \(-0.645960\pi\)
0.896696 + 0.442646i \(0.145960\pi\)
\(468\) −6.61577 + 12.7627i −0.305814 + 0.589956i
\(469\) 0.395609 + 0.395609i 0.0182675 + 0.0182675i
\(470\) 2.69728 + 0.654362i 0.124416 + 0.0301835i
\(471\) 6.81438 8.86022i 0.313990 0.408257i
\(472\) −10.4639 30.2345i −0.481642 1.39165i
\(473\) −3.25331 1.87830i −0.149587 0.0863643i
\(474\) −1.64178 10.6057i −0.0754097 0.487137i
\(475\) −20.0205 + 74.7175i −0.918604 + 3.42828i
\(476\) 0.618370 + 12.9829i 0.0283429 + 0.595071i
\(477\) −20.6576 + 11.8654i −0.945845 + 0.543278i
\(478\) −0.248614 10.4454i −0.0113713 0.477761i
\(479\) −11.7030 20.2702i −0.534724 0.926169i −0.999177 0.0405710i \(-0.987082\pi\)
0.464453 0.885598i \(-0.346251\pi\)
\(480\) −20.3668 36.3623i −0.929612 1.65971i
\(481\) −9.77797 + 16.9359i −0.445837 + 0.772212i
\(482\) −27.7923 15.1758i −1.26590 0.691241i
\(483\) −3.09202 4.03891i −0.140692 0.183777i
\(484\) 15.9801 10.2697i 0.726369 0.466803i
\(485\) −25.1064 25.1064i −1.14002 1.14002i
\(486\) 13.7369 + 17.2423i 0.623120 + 0.782126i
\(487\) 21.0301i 0.952967i 0.879183 + 0.476483i \(0.158089\pi\)
−0.879183 + 0.476483i \(0.841911\pi\)
\(488\) 2.62832 13.6363i 0.118979 0.617288i
\(489\) 25.6860 + 3.41073i 1.16156 + 0.154239i
\(490\) 5.83655 + 19.8777i 0.263669 + 0.897983i
\(491\) 25.4606 6.82214i 1.14902 0.307879i 0.366447 0.930439i \(-0.380574\pi\)
0.782572 + 0.622560i \(0.213907\pi\)
\(492\) 12.9151 + 4.65912i 0.582258 + 0.210049i
\(493\) 4.41580 + 1.18321i 0.198877 + 0.0532891i
\(494\) 20.0110 0.476289i 0.900339 0.0214292i
\(495\) −15.0987 4.08177i −0.678638 0.183462i
\(496\) −10.0216 + 0.956819i −0.449983 + 0.0429625i
\(497\) 13.1944 + 22.8533i 0.591849 + 1.02511i
\(498\) −6.99485 5.11953i −0.313447 0.229412i
\(499\) −3.44223 12.8466i −0.154095 0.575092i −0.999181 0.0404610i \(-0.987117\pi\)
0.845086 0.534631i \(-0.179549\pi\)
\(500\) 20.9663 + 65.5896i 0.937640 + 2.93326i
\(501\) 4.84419 + 37.1147i 0.216422 + 1.65816i
\(502\) 14.6226 + 3.54746i 0.652640 + 0.158331i
\(503\) 7.97796i 0.355720i −0.984056 0.177860i \(-0.943083\pi\)
0.984056 0.177860i \(-0.0569174\pi\)
\(504\) 15.1330 5.19970i 0.674077 0.231613i
\(505\) 31.7417i 1.41249i
\(506\) −0.636404 + 2.62326i −0.0282916 + 0.116618i
\(507\) 11.6115 + 4.82479i 0.515683 + 0.214276i
\(508\) 4.48913 8.70757i 0.199173 0.386336i
\(509\) −8.92371 33.3037i −0.395536 1.47616i −0.820865 0.571123i \(-0.806508\pi\)
0.425328 0.905039i \(-0.360159\pi\)
\(510\) 35.6975 + 3.87822i 1.58071 + 0.171731i
\(511\) −0.0263151 0.0455792i −0.00116411 0.00201630i
\(512\) −4.80918 22.1104i −0.212538 0.977153i
\(513\) 11.8417 28.3204i 0.522825 1.25038i
\(514\) 0.149183 + 6.26784i 0.00658016 + 0.276463i
\(515\) 57.9785 + 15.5353i 2.55484 + 0.684567i
\(516\) 0.895253 10.5795i 0.0394113 0.465739i
\(517\) 0.546229 0.146362i 0.0240231 0.00643697i
\(518\) 20.8860 6.13261i 0.917678 0.269451i
\(519\) 12.7955 + 30.9886i 0.561658 + 1.36025i
\(520\) 23.8724 16.1570i 1.04687 0.708530i
\(521\) 20.0111i 0.876703i −0.898804 0.438352i \(-0.855562\pi\)
0.898804 0.438352i \(-0.144438\pi\)
\(522\) −0.121382 5.62675i −0.00531276 0.246276i
\(523\) −11.2432 11.2432i −0.491633 0.491633i 0.417188 0.908820i \(-0.363016\pi\)
−0.908820 + 0.417188i \(0.863016\pi\)
\(524\) 35.9632 + 7.82355i 1.57106 + 0.341773i
\(525\) −42.4089 + 5.53518i −1.85087 + 0.241575i
\(526\) 3.61528 6.62083i 0.157634 0.288682i
\(527\) 4.33671 7.51140i 0.188910 0.327202i
\(528\) −7.19263 4.51368i −0.313019 0.196433i
\(529\) −10.2874 17.8183i −0.447278 0.774708i
\(530\) 47.7562 1.13666i 2.07440 0.0493733i
\(531\) 0.0755992 33.9347i 0.00328072 1.47264i
\(532\) −16.4865 14.9874i −0.714780 0.649786i
\(533\) −2.45777 + 9.17253i −0.106458 + 0.397306i
\(534\) −4.20666 + 10.8452i −0.182040 + 0.469318i
\(535\) 20.0569 + 11.5799i 0.867137 + 0.500642i
\(536\) 0.792992 0.274449i 0.0342520 0.0118544i
\(537\) −6.99685 0.929082i −0.301936 0.0400929i
\(538\) −9.73255 + 40.1176i −0.419600 + 1.72959i
\(539\) 2.98466 + 2.98466i 0.128559 + 0.128559i
\(540\) −7.70319 43.5295i −0.331493 1.87321i
\(541\) 9.38252 9.38252i 0.403386 0.403386i −0.476038 0.879424i \(-0.657928\pi\)
0.879424 + 0.476038i \(0.157928\pi\)
\(542\) −28.0567 + 17.1013i −1.20514 + 0.734564i
\(543\) 3.06366 23.0722i 0.131474 0.990123i
\(544\) 17.9206 + 7.67440i 0.768341 + 0.329037i
\(545\) −6.27481 + 10.8683i −0.268783 + 0.465546i
\(546\) 4.46606 + 10.1261i 0.191130 + 0.433357i
\(547\) 36.2034 + 9.70067i 1.54794 + 0.414770i 0.928823 0.370524i \(-0.120822\pi\)
0.619122 + 0.785295i \(0.287489\pi\)
\(548\) 1.47445 + 30.9566i 0.0629854 + 1.32240i
\(549\) 7.39327 12.7399i 0.315537 0.543725i
\(550\) 16.4261 + 15.6624i 0.700411 + 0.667845i
\(551\) −6.78671 + 3.91831i −0.289123 + 0.166926i
\(552\) −7.47537 + 1.52449i −0.318173 + 0.0648865i
\(553\) −7.15532 4.13113i −0.304275 0.175673i
\(554\) −7.84095 26.7041i −0.333130 1.13455i
\(555\) −7.78291 59.6303i −0.330366 2.53116i
\(556\) 3.13472 14.4096i 0.132942 0.611104i
\(557\) 9.01169 9.01169i 0.381838 0.381838i −0.489926 0.871764i \(-0.662976\pi\)
0.871764 + 0.489926i \(0.162976\pi\)
\(558\) −10.3712 2.54054i −0.439049 0.107550i
\(559\) 7.34341 0.310593
\(560\) −31.6419 5.32126i −1.33711 0.224864i
\(561\) 6.76220 2.79217i 0.285500 0.117886i
\(562\) −12.7575 + 23.3634i −0.538143 + 0.985528i
\(563\) 4.39477 + 16.4015i 0.185218 + 0.691241i 0.994584 + 0.103937i \(0.0331441\pi\)
−0.809366 + 0.587304i \(0.800189\pi\)
\(564\) 1.03083 + 1.22142i 0.0434060 + 0.0514312i
\(565\) 4.50942 16.8294i 0.189713 0.708018i
\(566\) −12.9654 + 13.5976i −0.544976 + 0.571551i
\(567\) 16.9719 + 0.0756196i 0.712751 + 0.00317573i
\(568\) 39.4789 2.82321i 1.65650 0.118459i
\(569\) −14.1855 + 8.19001i −0.594688 + 0.343343i −0.766949 0.641708i \(-0.778226\pi\)
0.172261 + 0.985051i \(0.444893\pi\)
\(570\) −47.9708 + 38.5690i −2.00928 + 1.61548i
\(571\) 35.7827 9.58794i 1.49746 0.401243i 0.585211 0.810881i \(-0.301012\pi\)
0.912248 + 0.409638i \(0.134345\pi\)
\(572\) 2.69126 5.22024i 0.112527 0.218269i
\(573\) −3.14250 + 7.56284i −0.131280 + 0.315942i
\(574\) 9.02564 5.50138i 0.376723 0.229623i
\(575\) 20.3914 0.850382
\(576\) 2.90279 23.8238i 0.120950 0.992659i
\(577\) −2.14863 −0.0894487 −0.0447243 0.998999i \(-0.514241\pi\)
−0.0447243 + 0.998999i \(0.514241\pi\)
\(578\) 6.18709 3.77120i 0.257349 0.156861i
\(579\) 33.5439 4.37813i 1.39404 0.181949i
\(580\) −5.17137 + 10.0309i −0.214729 + 0.416510i
\(581\) −6.44597 + 1.72719i −0.267424 + 0.0716560i
\(582\) −3.12782 20.2053i −0.129652 0.837537i
\(583\) 8.42888 4.86642i 0.349088 0.201546i
\(584\) −0.0787375 + 0.00563067i −0.00325818 + 0.000232999i
\(585\) 29.5503 7.84747i 1.22176 0.324453i
\(586\) 8.32107 8.72684i 0.343740 0.360502i
\(587\) 5.78807 21.6014i 0.238899 0.891585i −0.737453 0.675399i \(-0.763972\pi\)
0.976352 0.216186i \(-0.0693618\pi\)
\(588\) −4.04830 + 11.2219i −0.166949 + 0.462783i
\(589\) 3.84813 + 14.3614i 0.158559 + 0.591752i
\(590\) −32.6114 + 59.7230i −1.34259 + 2.45876i
\(591\) −2.22464 + 16.7536i −0.0915095 + 0.689151i
\(592\) 5.41455 32.1967i 0.222537 1.32327i
\(593\) 10.7128 0.439921 0.219960 0.975509i \(-0.429407\pi\)
0.219960 + 0.975509i \(0.429407\pi\)
\(594\) −5.62794 7.03186i −0.230917 0.288521i
\(595\) 19.5473 19.5473i 0.801361 0.801361i
\(596\) 3.28356 15.0938i 0.134500 0.618267i
\(597\) −33.6608 + 25.7693i −1.37764 + 1.05467i
\(598\) −1.48660 5.06295i −0.0607916 0.207040i
\(599\) −23.8944 13.7955i −0.976300 0.563667i −0.0751489 0.997172i \(-0.523943\pi\)
−0.901151 + 0.433505i \(0.857277\pi\)
\(600\) −20.3261 + 60.8418i −0.829808 + 2.48386i
\(601\) 9.37490 5.41260i 0.382410 0.220785i −0.296456 0.955046i \(-0.595805\pi\)
0.678866 + 0.734262i \(0.262472\pi\)
\(602\) −5.91575 5.64069i −0.241108 0.229897i
\(603\) 0.890041 + 0.00198282i 0.0362453 + 8.07466e-5i
\(604\) 0.369760 + 7.76325i 0.0150453 + 0.315882i
\(605\) −39.0241 10.4565i −1.58655 0.425116i
\(606\) −10.7954 + 14.7499i −0.438534 + 0.599172i
\(607\) 19.0270 32.9557i 0.772282 1.33763i −0.164028 0.986456i \(-0.552449\pi\)
0.936310 0.351175i \(-0.114218\pi\)
\(608\) −31.0244 + 12.4197i −1.25821 + 0.503687i
\(609\) −3.43455 2.64150i −0.139175 0.107039i
\(610\) −25.2206 + 15.3726i −1.02115 + 0.622419i
\(611\) −0.781661 + 0.781661i −0.0316226 + 0.0316226i
\(612\) 15.2691 + 13.9430i 0.617217 + 0.563611i
\(613\) −34.9758 34.9758i −1.41266 1.41266i −0.739489 0.673168i \(-0.764933\pi\)
−0.673168 0.739489i \(-0.735067\pi\)
\(614\) 3.36460 13.8689i 0.135784 0.559702i
\(615\) −11.1448 26.9909i −0.449401 1.08838i
\(616\) −6.17787 + 2.13812i −0.248913 + 0.0861472i
\(617\) 11.9478 + 6.89807i 0.481001 + 0.277706i 0.720834 0.693108i \(-0.243759\pi\)
−0.239833 + 0.970814i \(0.577093\pi\)
\(618\) 21.6581 + 26.9376i 0.871218 + 1.08359i
\(619\) −8.82171 + 32.9231i −0.354574 + 1.32329i 0.526445 + 0.850209i \(0.323525\pi\)
−0.881019 + 0.473080i \(0.843142\pi\)
\(620\) 15.8433 + 14.4027i 0.636282 + 0.578426i
\(621\) −8.01922 1.08302i −0.321800 0.0434603i
\(622\) 16.4463 0.391444i 0.659438 0.0156955i
\(623\) 4.47773 + 7.75565i 0.179396 + 0.310724i
\(624\) 16.5881 + 0.611158i 0.664057 + 0.0244659i
\(625\) 40.4916 70.1335i 1.61966 2.80534i
\(626\) 4.51534 8.26917i 0.180469 0.330503i
\(627\) −4.81217 + 11.5811i −0.192180 + 0.462505i
\(628\) −12.6118 2.74362i −0.503267 0.109482i
\(629\) 19.8900 + 19.8900i 0.793066 + 0.793066i
\(630\) −29.8332 16.3767i −1.18858 0.652463i
\(631\) 7.97657i 0.317542i −0.987315 0.158771i \(-0.949247\pi\)
0.987315 0.158771i \(-0.0507532\pi\)
\(632\) −10.2627 + 6.94589i −0.408230 + 0.276293i
\(633\) 23.1580 30.1106i 0.920449 1.19679i
\(634\) 3.71494 1.09079i 0.147539 0.0433209i
\(635\) −20.1260 + 5.39276i −0.798677 + 0.214005i
\(636\) 22.5782 + 15.7138i 0.895282 + 0.623093i
\(637\) −7.96998 2.13555i −0.315782 0.0846135i
\(638\) 0.0547121 + 2.29871i 0.00216607 + 0.0910066i
\(639\) 40.5259 + 10.9557i 1.60318 + 0.433401i
\(640\) −27.9162 + 39.2010i −1.10349 + 1.54956i
\(641\) −18.6956 32.3818i −0.738434 1.27900i −0.953200 0.302339i \(-0.902232\pi\)
0.214767 0.976665i \(-0.431101\pi\)
\(642\) 5.38181 + 12.2024i 0.212403 + 0.481591i
\(643\) −3.34308 12.4765i −0.131838 0.492026i 0.868153 0.496297i \(-0.165307\pi\)
−0.999991 + 0.00427070i \(0.998641\pi\)
\(644\) −2.69142 + 5.22055i −0.106057 + 0.205719i
\(645\) −17.9305 + 13.7268i −0.706011 + 0.540493i
\(646\) 6.78793 27.9799i 0.267068 1.10085i
\(647\) 4.85394i 0.190828i −0.995438 0.0954140i \(-0.969582\pi\)
0.995438 0.0954140i \(-0.0304175\pi\)
\(648\) 11.2249 22.8473i 0.440956 0.897529i
\(649\) 13.8641i 0.544215i
\(650\) −43.1163 10.4600i −1.69116 0.410277i
\(651\) −6.52735 + 4.99707i −0.255827 + 0.195851i
\(652\) −9.11004 28.4993i −0.356777 1.11612i
\(653\) 10.0280 + 37.4249i 0.392425 + 1.46455i 0.826121 + 0.563492i \(0.190542\pi\)
−0.433696 + 0.901059i \(0.642791\pi\)
\(654\) −6.61213 + 2.91625i −0.258555 + 0.114034i
\(655\) −39.1387 67.7902i −1.52928 2.64878i
\(656\) −1.50680 15.7820i −0.0588307 0.616185i
\(657\) −0.0808256 0.0218503i −0.00315331 0.000852460i
\(658\) 1.23011 0.0292783i 0.0479548 0.00114139i
\(659\) −36.7794 9.85502i −1.43272 0.383897i −0.542744 0.839898i \(-0.682615\pi\)
−0.889979 + 0.456001i \(0.849281\pi\)
\(660\) 3.18677 + 17.7770i 0.124045 + 0.691969i
\(661\) −11.5820 + 3.10339i −0.450488 + 0.120708i −0.476927 0.878943i \(-0.658250\pi\)
0.0264400 + 0.999650i \(0.491583\pi\)
\(662\) 8.11717 + 27.6449i 0.315483 + 1.07445i
\(663\) −8.71871 + 11.3363i −0.338606 + 0.440264i
\(664\) −1.89434 + 9.82827i −0.0735146 + 0.381411i
\(665\) 47.3876i 1.83761i
\(666\) 16.6638 30.3563i 0.645709 1.17628i
\(667\) 1.46077 + 1.46077i 0.0565613 + 0.0565613i
\(668\) 36.3590 23.3662i 1.40677 0.904064i
\(669\) 2.08669 5.02188i 0.0806760 0.194157i
\(670\) −1.56642 0.855335i −0.0605160 0.0330445i
\(671\) −3.00893 + 5.21163i −0.116159 + 0.201193i
\(672\) −12.8937 13.2342i −0.497387 0.510520i
\(673\) 14.9076 + 25.8207i 0.574645 + 0.995314i 0.996080 + 0.0884554i \(0.0281931\pi\)
−0.421435 + 0.906858i \(0.638474\pi\)
\(674\) −0.0346286 1.45491i −0.00133385 0.0560409i
\(675\) −41.5994 + 53.8399i −1.60116 + 2.07230i
\(676\) −0.690758 14.5027i −0.0265676 0.557797i
\(677\) −7.34993 + 27.4303i −0.282481 + 1.05423i 0.668180 + 0.744000i \(0.267074\pi\)
−0.950661 + 0.310233i \(0.899593\pi\)
\(678\) 7.81917 6.28669i 0.300294 0.241439i
\(679\) −13.6318 7.87034i −0.523142 0.302036i
\(680\) −13.5607 39.1822i −0.520028 1.50257i
\(681\) −9.30909 22.5451i −0.356725 0.863931i
\(682\) 4.23949 + 1.02850i 0.162338 + 0.0393834i
\(683\) 34.9639 + 34.9639i 1.33786 + 1.33786i 0.898134 + 0.439721i \(0.144923\pi\)
0.439721 + 0.898134i \(0.355077\pi\)
\(684\) −35.4087 + 1.60745i −1.35389 + 0.0614623i
\(685\) 46.6088 46.6088i 1.78083 1.78083i
\(686\) 14.4963 + 23.7829i 0.553472 + 0.908034i
\(687\) 26.0576 + 20.0408i 0.994159 + 0.764606i
\(688\) −11.4869 + 4.28424i −0.437935 + 0.163335i
\(689\) −9.51288 + 16.4768i −0.362412 + 0.627716i
\(690\) 13.0939 + 9.58340i 0.498475 + 0.364834i
\(691\) 12.5989 + 3.37585i 0.479283 + 0.128424i 0.490369 0.871515i \(-0.336862\pi\)
−0.0110856 + 0.999939i \(0.503529\pi\)
\(692\) 26.0408 28.6455i 0.989922 1.08894i
\(693\) −6.93394 0.0154473i −0.263399 0.000586795i
\(694\) −30.4680 + 31.9538i −1.15655 + 1.21295i
\(695\) −27.1620 + 15.6820i −1.03031 + 0.594851i
\(696\) −5.81459 + 2.90241i −0.220401 + 0.110016i
\(697\) 11.8290 + 6.82946i 0.448054 + 0.258684i
\(698\) 24.2384 7.11695i 0.917437 0.269381i
\(699\) −17.4391 + 13.3507i −0.659608 + 0.504969i
\(700\) 26.6992 + 41.5454i 1.00914 + 1.57027i
\(701\) −1.18582 + 1.18582i −0.0447879 + 0.0447879i −0.729146 0.684358i \(-0.760083\pi\)
0.684358 + 0.729146i \(0.260083\pi\)
\(702\) 16.4005 + 6.40354i 0.618998 + 0.241686i
\(703\) −48.2184 −1.81859
\(704\) −1.16425 + 9.73589i −0.0438795 + 0.366935i
\(705\) 0.447452 3.36973i 0.0168520 0.126911i
\(706\) 2.55261 + 1.39384i 0.0960689 + 0.0524580i
\(707\) 3.64208 + 13.5924i 0.136975 + 0.511196i
\(708\) −35.4660 + 16.6611i −1.33289 + 0.626163i
\(709\) −3.58808 + 13.3909i −0.134753 + 0.502906i 0.865245 + 0.501349i \(0.167163\pi\)
−0.999999 + 0.00155784i \(0.999504\pi\)
\(710\) −60.9239 58.0912i −2.28643 2.18012i
\(711\) −12.7037 + 3.37363i −0.476426 + 0.126521i
\(712\) 13.3978 0.958103i 0.502104 0.0359064i
\(713\) 3.39432 1.95971i 0.127118 0.0733919i
\(714\) 15.7314 2.43525i 0.588733 0.0911368i
\(715\) −12.0657 + 3.23299i −0.451231 + 0.120907i
\(716\) 2.48157 + 7.76320i 0.0927406 + 0.290124i
\(717\) −12.6889 + 1.65615i −0.473877 + 0.0618502i
\(718\) −3.50785 5.75504i −0.130912 0.214776i
\(719\) 22.9314 0.855198 0.427599 0.903968i \(-0.359359\pi\)
0.427599 + 0.903968i \(0.359359\pi\)
\(720\) −41.6458 + 29.5155i −1.55205 + 1.09998i
\(721\) 26.6101 0.991013
\(722\) 11.7024 + 19.1991i 0.435518 + 0.714517i
\(723\) −14.8813 + 35.8137i −0.553441 + 1.33193i
\(724\) −25.5992 + 8.18301i −0.951389 + 0.304119i
\(725\) 16.7780 4.49564i 0.623118 0.166964i
\(726\) −14.5776 18.1311i −0.541026 0.672910i
\(727\) −14.6244 + 8.44338i −0.542387 + 0.313147i −0.746046 0.665894i \(-0.768050\pi\)
0.203659 + 0.979042i \(0.434717\pi\)
\(728\) 8.36877 9.65789i 0.310167 0.357945i
\(729\) 19.2191 18.9639i 0.711817 0.702365i
\(730\) 0.121508 + 0.115858i 0.00449721 + 0.00428811i
\(731\) 2.73379 10.2026i 0.101113 0.377358i
\(732\) −16.9479 1.43415i −0.626411 0.0530076i
\(733\) 10.4817 + 39.1181i 0.387149 + 1.44486i 0.834752 + 0.550626i \(0.185611\pi\)
−0.447603 + 0.894232i \(0.647722\pi\)
\(734\) −21.3744 11.6714i −0.788943 0.430799i
\(735\) 23.4523 9.68366i 0.865051 0.357187i
\(736\) 5.27921 + 7.05243i 0.194594 + 0.259956i
\(737\) −0.363629 −0.0133945
\(738\) 4.00085 16.3326i 0.147273 0.601212i
\(739\) 20.2719 20.2719i 0.745713 0.745713i −0.227958 0.973671i \(-0.573205\pi\)
0.973671 + 0.227958i \(0.0732050\pi\)
\(740\) −58.4161 + 37.5413i −2.14742 + 1.38004i
\(741\) −3.17282 24.3092i −0.116557 0.893020i
\(742\) 20.3198 5.96635i 0.745962 0.219032i
\(743\) −33.3722 19.2674i −1.22431 0.706853i −0.258473 0.966019i \(-0.583219\pi\)
−0.965833 + 0.259165i \(0.916553\pi\)
\(744\) 2.46375 + 12.0811i 0.0903254 + 0.442913i
\(745\) −28.4517 + 16.4266i −1.04239 + 0.601824i
\(746\) 16.2043 16.9944i 0.593280 0.622210i
\(747\) −5.32863 + 9.18216i −0.194964 + 0.335958i
\(748\) −6.25090 5.68251i −0.228555 0.207773i
\(749\) 9.91749 + 2.65738i 0.362377 + 0.0970987i
\(750\) 77.1632 34.0324i 2.81760 1.24269i
\(751\) −2.59701 + 4.49815i −0.0947663 + 0.164140i −0.909511 0.415680i \(-0.863544\pi\)
0.814745 + 0.579820i \(0.196877\pi\)
\(752\) 0.766683 1.67875i 0.0279581 0.0612176i
\(753\) 2.42575 18.2681i 0.0883991 0.665727i
\(754\) −2.33938 3.83802i −0.0851952 0.139773i
\(755\) 11.6885 11.6885i 0.425388 0.425388i
\(756\) −8.29330 17.7563i −0.301624 0.645792i
\(757\) 16.3310 + 16.3310i 0.593562 + 0.593562i 0.938592 0.345030i \(-0.112131\pi\)
−0.345030 + 0.938592i \(0.612131\pi\)
\(758\) 43.8755 + 10.6442i 1.59363 + 0.386616i
\(759\) 3.27725 + 0.435172i 0.118957 + 0.0157957i
\(760\) 63.9311 + 31.0566i 2.31902 + 1.12654i
\(761\) 30.2706 + 17.4767i 1.09731 + 0.633530i 0.935512 0.353294i \(-0.114939\pi\)
0.161794 + 0.986824i \(0.448272\pi\)
\(762\) −11.1863 4.33898i −0.405239 0.157185i
\(763\) −1.43996 + 5.37400i −0.0521300 + 0.194552i
\(764\) 9.44599 0.449908i 0.341744 0.0162771i
\(765\) 0.0979723 43.9775i 0.00354220 1.59001i
\(766\) −0.849026 35.6715i −0.0306766 1.28886i
\(767\) −13.5508 23.4707i −0.489292 0.847478i
\(768\) −26.3046 + 8.72174i −0.949185 + 0.314719i
\(769\) −11.5439 + 19.9946i −0.416284 + 0.721024i −0.995562 0.0941052i \(-0.970001\pi\)
0.579279 + 0.815130i \(0.303334\pi\)
\(770\) 12.2033 + 6.66356i 0.439777 + 0.240138i
\(771\) 7.61410 0.993788i 0.274215 0.0357904i
\(772\) −21.1181 32.8609i −0.760059 1.18269i