Properties

Label 144.2.x.e.133.15
Level $144$
Weight $2$
Character 144.133
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 133.15
Character \(\chi\) \(=\) 144.133
Dual form 144.2.x.e.13.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.24122 + 0.677764i) q^{2} +(-1.37530 - 1.05287i) q^{3} +(1.08127 + 1.68251i) q^{4} +(1.10094 - 4.10876i) q^{5} +(-0.993456 - 2.23898i) q^{6} +(1.63313 + 0.942891i) q^{7} +(0.201751 + 2.82122i) q^{8} +(0.782911 + 2.89604i) q^{9} +O(q^{10})\) \(q+(1.24122 + 0.677764i) q^{2} +(-1.37530 - 1.05287i) q^{3} +(1.08127 + 1.68251i) q^{4} +(1.10094 - 4.10876i) q^{5} +(-0.993456 - 2.23898i) 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} +(-1.18389 + 0.317223i) q^{11} +(0.284402 - 3.45241i) q^{12} +(-2.31428 - 0.620109i) q^{13} +(1.38803 + 2.27722i) q^{14} +(-5.84014 + 4.49164i) q^{15} +(-1.66171 + 3.63851i) q^{16} +3.44622 q^{17} +(-0.991066 + 4.12526i) q^{18} +(-4.17726 + 4.17726i) q^{19} +(8.10347 - 2.59034i) q^{20} +(-1.25331 - 3.01624i) q^{21} +(-1.68448 - 0.408656i) q^{22} +(-1.34867 + 0.778655i) q^{23} +(2.69292 - 4.09245i) q^{24} +(-11.3397 - 6.54701i) q^{25} +(-2.45225 - 2.33823i) q^{26} +(1.97243 - 4.80724i) q^{27} +(0.179434 + 3.76729i) q^{28} +(-0.343336 - 1.28135i) q^{29} +(-10.2932 + 1.61689i) q^{30} +(1.25840 + 2.17961i) q^{31} +(-4.52860 + 3.38996i) q^{32} +(1.96221 + 0.810213i) q^{33} +(4.27753 + 2.33572i) q^{34} +(5.67210 - 5.67210i) q^{35} +(-4.02609 + 4.44866i) q^{36} +(5.77154 + 5.77154i) q^{37} +(-8.01610 + 2.35371i) q^{38} +(2.52993 + 3.28948i) q^{39} +(11.8139 + 2.27705i) q^{40} +(-3.43245 + 1.98173i) q^{41} +(0.488668 - 4.59328i) q^{42} +(-2.96053 + 0.793272i) q^{43} +(-1.81384 - 1.64891i) q^{44} +(12.7611 - 0.0284289i) q^{45} +(-2.20175 + 0.0524044i) q^{46} +(0.230692 - 0.399570i) q^{47} +(6.11624 - 3.25448i) q^{48} +(-1.72191 - 2.98244i) q^{49} +(-9.63783 - 15.8120i) q^{50} +(-4.73959 - 3.62844i) q^{51} +(-1.45902 - 4.56431i) q^{52} +(5.61507 + 5.61507i) q^{53} +(5.70640 - 4.63001i) q^{54} +5.21358i q^{55} +(-2.33062 + 4.79766i) q^{56} +(10.1431 - 1.34686i) q^{57} +(0.442294 - 1.82314i) q^{58} +(2.92766 - 10.9262i) q^{59} +(-13.8720 - 4.96943i) q^{60} +(1.27078 + 4.74261i) 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} +(1.88640 + 2.33557i) q^{66} +(0.286572 + 0.0767867i) q^{67} +(3.72630 + 5.79831i) q^{68} +(2.67465 + 0.349094i) q^{69} +(10.8847 - 3.19600i) q^{70} -13.9935i q^{71} +(-8.01242 + 2.79304i) q^{72} +0.0279090i q^{73} +(3.25203 + 11.0755i) q^{74} +(8.70240 + 20.9434i) q^{75} +(-11.5450 - 2.51154i) q^{76} +(-2.23256 - 0.598214i) q^{77} +(0.910720 + 5.79768i) 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} +(-0.915902 - 3.41819i) q^{83} +(3.71971 - 5.37009i) q^{84} +(3.79408 - 14.1597i) q^{85} +(-4.21233 - 1.02191i) q^{86} +(-0.876906 + 2.12373i) q^{87} +(-1.13381 - 3.27603i) q^{88} -4.74894i q^{89} +(15.8586 + 8.61372i) q^{90} +(-3.19483 - 3.19483i) q^{91} +(-2.76838 - 1.42722i) q^{92} +(0.564177 - 4.32255i) q^{93} +(0.557154 - 0.339601i) q^{94} +(12.5645 + 21.7623i) q^{95} +(9.79739 + 0.105834i) q^{96} +(4.17352 - 7.22875i) q^{97} +(-0.115887 - 4.86893i) q^{98} +(-1.84557 - 3.18025i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 4 q^{2} + 2 q^{3} - 2 q^{4} + 4 q^{5} - 28 q^{6} - 8 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 72 q + 4 q^{2} + 2 q^{3} - 2 q^{4} + 4 q^{5} - 28 q^{6} - 8 q^{8} - 20 q^{10} - 2 q^{11} + 8 q^{12} - 16 q^{13} - 4 q^{14} - 20 q^{15} - 10 q^{16} - 16 q^{17} + 28 q^{19} + 12 q^{20} - 16 q^{21} - 8 q^{22} - 40 q^{24} - 4 q^{26} + 8 q^{27} - 16 q^{28} + 4 q^{29} + 18 q^{30} + 28 q^{31} - 46 q^{32} - 32 q^{33} - 14 q^{34} - 16 q^{35} + 14 q^{36} + 16 q^{37} + 2 q^{38} - 10 q^{40} + 26 q^{42} - 10 q^{43} + 60 q^{44} + 40 q^{45} + 20 q^{46} - 56 q^{47} + 2 q^{48} + 4 q^{49} - 36 q^{50} - 54 q^{51} + 6 q^{52} - 8 q^{53} + 92 q^{54} + 52 q^{56} - 14 q^{58} - 14 q^{59} + 18 q^{60} - 32 q^{61} + 16 q^{62} - 108 q^{63} - 44 q^{64} - 64 q^{65} + 26 q^{66} - 18 q^{67} + 16 q^{68} + 32 q^{69} + 14 q^{70} + 114 q^{72} + 38 q^{74} + 86 q^{75} + 10 q^{76} - 36 q^{77} + 16 q^{78} + 44 q^{79} + 144 q^{80} - 44 q^{81} - 88 q^{82} + 20 q^{83} - 58 q^{84} - 8 q^{85} + 76 q^{86} - 42 q^{88} - 80 q^{91} - 68 q^{92} - 4 q^{93} + 20 q^{94} + 48 q^{95} + 94 q^{96} + 40 q^{97} + 88 q^{98} + 28 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.24122 + 0.677764i 0.877677 + 0.479252i
\(3\) −1.37530 1.05287i −0.794031 0.607877i
\(4\) 1.08127 + 1.68251i 0.540636 + 0.841257i
\(5\) 1.10094 4.10876i 0.492355 1.83750i −0.0520092 0.998647i \(-0.516563\pi\)
0.544365 0.838849i \(-0.316771\pi\)
\(6\) −0.993456 2.23898i −0.405577 0.914061i
\(7\) 1.63313 + 0.942891i 0.617267 + 0.356379i 0.775804 0.630974i \(-0.217344\pi\)
−0.158537 + 0.987353i \(0.550678\pi\)
\(8\) 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
\(11\) −1.18389 + 0.317223i −0.356957 + 0.0956464i −0.432841 0.901470i \(-0.642489\pi\)
0.0758838 + 0.997117i \(0.475822\pi\)
\(12\) 0.284402 3.45241i 0.0820997 0.996624i
\(13\) −2.31428 0.620109i −0.641865 0.171987i −0.0768171 0.997045i \(-0.524476\pi\)
−0.565048 + 0.825058i \(0.691142\pi\)
\(14\) 1.38803 + 2.27722i 0.370966 + 0.608612i
\(15\) −5.84014 + 4.49164i −1.50792 + 1.15974i
\(16\) −1.66171 + 3.63851i −0.415426 + 0.909627i
\(17\) 3.44622 0.835831 0.417915 0.908486i \(-0.362761\pi\)
0.417915 + 0.908486i \(0.362761\pi\)
\(18\) −0.991066 + 4.12526i −0.233596 + 0.972334i
\(19\) −4.17726 + 4.17726i −0.958328 + 0.958328i −0.999166 0.0408377i \(-0.986997\pi\)
0.0408377 + 0.999166i \(0.486997\pi\)
\(20\) 8.10347 2.59034i 1.81199 0.579218i
\(21\) −1.25331 3.01624i −0.273494 0.658199i
\(22\) −1.68448 0.408656i −0.359132 0.0871257i
\(23\) −1.34867 + 0.778655i −0.281217 + 0.162361i −0.633974 0.773354i \(-0.718578\pi\)
0.352757 + 0.935715i \(0.385244\pi\)
\(24\) 2.69292 4.09245i 0.549691 0.835368i
\(25\) −11.3397 6.54701i −2.26795 1.30940i
\(26\) −2.45225 2.33823i −0.480925 0.458564i
\(27\) 1.97243 4.80724i 0.379594 0.925153i
\(28\) 0.179434 + 3.76729i 0.0339099 + 0.711951i
\(29\) −0.343336 1.28135i −0.0637558 0.237940i 0.926693 0.375818i \(-0.122638\pi\)
−0.990449 + 0.137878i \(0.955972\pi\)
\(30\) −10.2932 + 1.61689i −1.87927 + 0.295203i
\(31\) 1.25840 + 2.17961i 0.226015 + 0.391469i 0.956623 0.291327i \(-0.0940969\pi\)
−0.730609 + 0.682796i \(0.760764\pi\)
\(32\) −4.52860 + 3.38996i −0.800551 + 0.599265i
\(33\) 1.96221 + 0.810213i 0.341576 + 0.141040i
\(34\) 4.27753 + 2.33572i 0.733590 + 0.400573i
\(35\) 5.67210 5.67210i 0.958760 0.958760i
\(36\) −4.02609 + 4.44866i −0.671015 + 0.741444i
\(37\) 5.77154 + 5.77154i 0.948836 + 0.948836i 0.998753 0.0499178i \(-0.0158959\pi\)
−0.0499178 + 0.998753i \(0.515896\pi\)
\(38\) −8.01610 + 2.35371i −1.30038 + 0.381823i
\(39\) 2.52993 + 3.28948i 0.405114 + 0.526739i
\(40\) 11.8139 + 2.27705i 1.86793 + 0.360033i
\(41\) −3.43245 + 1.98173i −0.536058 + 0.309493i −0.743480 0.668758i \(-0.766826\pi\)
0.207422 + 0.978252i \(0.433493\pi\)
\(42\) 0.488668 4.59328i 0.0754032 0.708759i
\(43\) −2.96053 + 0.793272i −0.451477 + 0.120973i −0.477390 0.878691i \(-0.658417\pi\)
0.0259136 + 0.999664i \(0.491751\pi\)
\(44\) −1.81384 1.64891i −0.273447 0.248583i
\(45\) 12.7611 0.0284289i 1.90231 0.00423794i
\(46\) −2.20175 + 0.0524044i −0.324630 + 0.00772660i
\(47\) 0.230692 0.399570i 0.0336498 0.0582832i −0.848710 0.528858i \(-0.822620\pi\)
0.882360 + 0.470575i \(0.155954\pi\)
\(48\) 6.11624 3.25448i 0.882803 0.469743i
\(49\) −1.72191 2.98244i −0.245988 0.426063i
\(50\) −9.63783 15.8120i −1.36300 2.23615i
\(51\) −4.73959 3.62844i −0.663676 0.508083i
\(52\) −1.45902 4.56431i −0.202330 0.632956i
\(53\) 5.61507 + 5.61507i 0.771289 + 0.771289i 0.978332 0.207043i \(-0.0663838\pi\)
−0.207043 + 0.978332i \(0.566384\pi\)
\(54\) 5.70640 4.63001i 0.776542 0.630065i
\(55\) 5.21358i 0.702999i
\(56\) −2.33062 + 4.79766i −0.311442 + 0.641115i
\(57\) 10.1431 1.34686i 1.34349 0.178396i
\(58\) 0.442294 1.82314i 0.0580761 0.239390i
\(59\) 2.92766 10.9262i 0.381148 1.42247i −0.463001 0.886358i \(-0.653227\pi\)
0.844150 0.536108i \(-0.180106\pi\)
\(60\) −13.8720 4.96943i −1.79087 0.641551i
\(61\) 1.27078 + 4.74261i 0.162707 + 0.607229i 0.998322 + 0.0579138i \(0.0184448\pi\)
−0.835615 + 0.549316i \(0.814888\pi\)
\(62\) 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
\(66\) 1.88640 + 2.33557i 0.232200 + 0.287489i
\(67\) 0.286572 + 0.0767867i 0.0350103 + 0.00938099i 0.276282 0.961077i \(-0.410898\pi\)
−0.241271 + 0.970458i \(0.577564\pi\)
\(68\) 3.72630 + 5.79831i 0.451880 + 0.703148i
\(69\) 2.67465 + 0.349094i 0.321991 + 0.0420260i
\(70\) 10.8847 3.19600i 1.30097 0.381995i
\(71\) 13.9935i 1.66073i −0.557221 0.830364i \(-0.688133\pi\)
0.557221 0.830364i \(-0.311867\pi\)
\(72\) −8.01242 + 2.79304i −0.944273 + 0.329163i
\(73\) 0.0279090i 0.00326650i 0.999999 + 0.00163325i \(0.000519880\pi\)
−0.999999 + 0.00163325i \(0.999480\pi\)
\(74\) 3.25203 + 11.0755i 0.378040 + 1.28750i
\(75\) 8.70240 + 20.9434i 1.00487 + 2.41834i
\(76\) −11.5450 2.51154i −1.32431 0.288094i
\(77\) −2.23256 0.598214i −0.254424 0.0681728i
\(78\) 0.910720 + 5.79768i 0.103119 + 0.656458i
\(79\) 2.19067 3.79435i 0.246470 0.426898i −0.716074 0.698024i \(-0.754063\pi\)
0.962544 + 0.271126i \(0.0873960\pi\)
\(80\) 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
\(83\) −0.915902 3.41819i −0.100533 0.375195i 0.897267 0.441489i \(-0.145549\pi\)
−0.997800 + 0.0662931i \(0.978883\pi\)
\(84\) 3.71971 5.37009i 0.405853 0.585924i
\(85\) 3.79408 14.1597i 0.411526 1.53584i
\(86\) −4.21233 1.02191i −0.454227 0.110196i
\(87\) −0.876906 + 2.12373i −0.0940142 + 0.227687i
\(88\) −1.13381 3.27603i −0.120864 0.349226i
\(89\) 4.74894i 0.503386i −0.967807 0.251693i \(-0.919013\pi\)
0.967807 0.251693i \(-0.0809874\pi\)
\(90\) 15.8586 + 8.61372i 1.67165 + 0.907966i
\(91\) −3.19483 3.19483i −0.334909 0.334909i
\(92\) −2.76838 1.42722i −0.288623 0.148798i
\(93\) 0.564177 4.32255i 0.0585025 0.448228i
\(94\) 0.557154 0.339601i 0.0574660 0.0350271i
\(95\) 12.5645 + 21.7623i 1.28909 + 2.23276i
\(96\) 9.79739 + 0.105834i 0.999942 + 0.0108016i
\(97\) 4.17352 7.22875i 0.423757 0.733968i −0.572547 0.819872i \(-0.694045\pi\)
0.996303 + 0.0859041i \(0.0273779\pi\)
\(98\) −0.115887 4.86893i −0.0117063 0.491836i
\(99\) −1.84557 3.18025i −0.185487 0.319627i
\(100\) −1.24591 26.1584i −0.124591 2.61584i
\(101\) −7.20785 + 1.93134i −0.717208 + 0.192175i −0.598926 0.800805i \(-0.704406\pi\)
−0.118282 + 0.992980i \(0.537739\pi\)
\(102\) −3.42367 7.71602i −0.338994 0.764000i
\(103\) 12.2204 7.05547i 1.20411 0.695196i 0.242647 0.970115i \(-0.421984\pi\)
0.961468 + 0.274919i \(0.0886509\pi\)
\(104\) 1.28256 6.65420i 0.125765 0.652498i
\(105\) −13.7729 + 1.82884i −1.34409 + 0.178477i
\(106\) 3.16386 + 10.7753i 0.307302 + 1.04659i
\(107\) −3.84992 3.84992i −0.372186 0.372186i 0.496087 0.868273i \(-0.334770\pi\)
−0.868273 + 0.496087i \(0.834770\pi\)
\(108\) 10.2210 1.87929i 0.983514 0.180835i
\(109\) 2.08616 2.08616i 0.199818 0.199818i −0.600104 0.799922i \(-0.704874\pi\)
0.799922 + 0.600104i \(0.204874\pi\)
\(110\) −3.53358 + 6.47122i −0.336914 + 0.617007i
\(111\) −1.86090 14.0143i −0.176629 1.33018i
\(112\) −6.14450 + 4.37536i −0.580601 + 0.413433i
\(113\) −2.04799 3.54722i −0.192658 0.333694i 0.753472 0.657480i \(-0.228378\pi\)
−0.946130 + 0.323786i \(0.895044\pi\)
\(114\) 13.5027 + 5.20288i 1.26465 + 0.487295i
\(115\) 1.71451 + 6.39862i 0.159878 + 0.596674i
\(116\) 1.78464 1.96315i 0.165700 0.182274i
\(117\) −0.0160127 7.18773i −0.00148038 0.664506i
\(118\) 11.0392 11.5775i 1.01624 1.06580i
\(119\) 5.62814 + 3.24941i 0.515931 + 0.297873i
\(120\) −13.8502 15.5701i −1.26434 1.42135i
\(121\) −8.22531 + 4.74888i −0.747755 + 0.431717i
\(122\) −1.63705 + 6.74793i −0.148212 + 0.610929i
\(123\) 6.80716 + 0.888467i 0.613781 + 0.0801104i
\(124\) −2.30655 + 4.47402i −0.207134 + 0.401779i
\(125\) −24.3454 + 24.3454i −2.17752 + 2.17752i
\(126\) −5.50821 + 5.80264i −0.490711 + 0.516940i
\(127\) 4.89832 0.434656 0.217328 0.976099i \(-0.430266\pi\)
0.217328 + 0.976099i \(0.430266\pi\)
\(128\) −10.6003 3.95397i −0.936942 0.349485i
\(129\) 4.90684 + 2.02608i 0.432023 + 0.178386i
\(130\) −12.3070 + 7.50146i −1.07940 + 0.657922i
\(131\) −17.7751 4.76283i −1.55302 0.416130i −0.622574 0.782561i \(-0.713913\pi\)
−0.930446 + 0.366430i \(0.880580\pi\)
\(132\) 0.758483 + 4.17750i 0.0660174 + 0.363605i
\(133\) −10.7607 + 2.88332i −0.933072 + 0.250016i
\(134\) 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 \(-0.103062\pi\)
0.198492 + 0.980103i \(0.436396\pi\)
\(138\) 3.08324 + 2.24609i 0.262463 + 0.191200i
\(139\) −1.90836 + 7.12209i −0.161865 + 0.604088i 0.836555 + 0.547884i \(0.184566\pi\)
−0.998419 + 0.0562039i \(0.982100\pi\)
\(140\) 15.6765 + 3.41031i 1.32490 + 0.288224i
\(141\) −0.737967 + 0.306640i −0.0621480 + 0.0258237i
\(142\) 9.48432 17.3691i 0.795907 1.45758i
\(143\) 2.93657 0.245568
\(144\) −11.8382 1.96374i −0.986519 0.163645i
\(145\) −5.64274 −0.468604
\(146\) −0.0189157 + 0.0346413i −0.00156548 + 0.00286694i
\(147\) −0.771986 + 5.91472i −0.0636723 + 0.487838i
\(148\) −3.47010 + 15.9513i −0.285240 + 1.31119i
\(149\) −1.99897 + 7.46026i −0.163762 + 0.611168i 0.834433 + 0.551110i \(0.185795\pi\)
−0.998195 + 0.0600585i \(0.980871\pi\)
\(150\) −3.39309 + 31.8937i −0.277045 + 2.60411i
\(151\) 3.36540 + 1.94301i 0.273872 + 0.158120i 0.630646 0.776071i \(-0.282790\pi\)
−0.356774 + 0.934191i \(0.616123\pi\)
\(152\) −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
\(155\) 10.3409 2.77084i 0.830602 0.222559i
\(156\) −2.79905 + 7.81347i −0.224104 + 0.625578i
\(157\) 6.23351 + 1.67026i 0.497488 + 0.133302i 0.498834 0.866698i \(-0.333762\pi\)
−0.00134577 + 0.999999i \(0.500428\pi\)
\(158\) 5.29079 3.22488i 0.420913 0.256558i
\(159\) −1.81045 13.6344i −0.143578 1.08128i
\(160\) 8.94281 + 22.3391i 0.706991 + 1.76606i
\(161\) −2.93675 −0.231448
\(162\) −12.7228 + 0.359546i −0.999601 + 0.0282486i
\(163\) 10.5783 10.5783i 0.828556 0.828556i −0.158761 0.987317i \(-0.550750\pi\)
0.987317 + 0.158761i \(0.0507499\pi\)
\(164\) −7.04569 3.63236i −0.550176 0.283640i
\(165\) 5.48925 7.17025i 0.427337 0.558203i
\(166\) 1.17989 4.86351i 0.0915773 0.377481i
\(167\) −18.7147 + 10.8050i −1.44819 + 0.836112i −0.998374 0.0570092i \(-0.981844\pi\)
−0.449815 + 0.893122i \(0.648510\pi\)
\(168\) 8.25664 4.14439i 0.637014 0.319747i
\(169\) −6.28698 3.62979i −0.483614 0.279215i
\(170\) 14.3062 15.0039i 1.09724 1.15074i
\(171\) −15.3679 8.82708i −1.17521 0.675024i
\(172\) −4.53583 4.12339i −0.345854 0.314406i
\(173\) −5.00981 18.6969i −0.380889 1.42150i −0.844546 0.535483i \(-0.820130\pi\)
0.463657 0.886015i \(-0.346537\pi\)
\(174\) −2.52782 + 2.04168i −0.191634 + 0.154780i
\(175\) −12.3462 21.3843i −0.933287 1.61650i
\(176\) 0.813064 4.83474i 0.0612870 0.364432i
\(177\) −15.5303 + 11.9443i −1.16733 + 0.897790i
\(178\) 3.21866 5.89449i 0.241249 0.441811i
\(179\) −2.88152 + 2.88152i −0.215375 + 0.215375i −0.806546 0.591171i \(-0.798666\pi\)
0.591171 + 0.806546i \(0.298666\pi\)
\(180\) 13.8460 + 21.4400i 1.03202 + 1.59804i
\(181\) −9.50186 9.50186i −0.706268 0.706268i 0.259480 0.965748i \(-0.416449\pi\)
−0.965748 + 0.259480i \(0.916449\pi\)
\(182\) −1.80016 6.13084i −0.133437 0.454448i
\(183\) 3.24567 7.86050i 0.239927 0.581065i
\(184\) −2.46885 3.64780i −0.182006 0.268920i
\(185\) 30.0680 17.3598i 2.21065 1.27632i
\(186\) 3.62994 4.98287i 0.266160 0.365362i
\(187\) −4.07996 + 1.09322i −0.298356 + 0.0799442i
\(188\) 0.921721 0.0439012i 0.0672234 0.00320182i
\(189\) 7.75394 5.99108i 0.564016 0.435787i
\(190\) 0.845602 + 35.5276i 0.0613464 + 2.57744i
\(191\) 2.36417 4.09487i 0.171066 0.296294i −0.767727 0.640777i \(-0.778612\pi\)
0.938793 + 0.344483i \(0.111946\pi\)
\(192\) 12.0890 + 6.77168i 0.872450 + 0.488704i
\(193\) 9.76542 + 16.9142i 0.702931 + 1.21751i 0.967433 + 0.253127i \(0.0814589\pi\)
−0.264503 + 0.964385i \(0.585208\pi\)
\(194\) 10.0797 6.14383i 0.723677 0.441101i
\(195\) 16.3010 6.77338i 1.16734 0.485052i
\(196\) 3.15615 6.12198i 0.225439 0.437284i
\(197\) 6.89966 + 6.89966i 0.491581 + 0.491581i 0.908804 0.417223i \(-0.136997\pi\)
−0.417223 + 0.908804i \(0.636997\pi\)
\(198\) −0.135313 5.19826i −0.00961628 0.369424i
\(199\) 24.4752i 1.73500i 0.497438 + 0.867500i \(0.334274\pi\)
−0.497438 + 0.867500i \(0.665726\pi\)
\(200\) 16.1828 33.3128i 1.14429 2.35557i
\(201\) −0.313276 0.407329i −0.0220968 0.0287308i
\(202\) −10.2555 2.48800i −0.721578 0.175055i
\(203\) 0.647456 2.41634i 0.0454425 0.169594i
\(204\) 0.980111 11.8978i 0.0686215 0.833009i
\(205\) 4.36352 + 16.2849i 0.304762 + 1.13739i
\(206\) 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
\(210\) −18.3347 7.06475i −1.26522 0.487514i
\(211\) 21.1840 + 5.67623i 1.45837 + 0.390768i 0.898925 0.438102i \(-0.144349\pi\)
0.559441 + 0.828870i \(0.311016\pi\)
\(212\) −3.37602 + 15.5189i −0.231866 + 1.06584i
\(213\) −14.7334 + 19.2453i −1.00952 + 1.31867i
\(214\) −2.16927 7.38795i −0.148288 0.505030i
\(215\) 13.0375i 0.889148i
\(216\) 13.9602 + 4.59479i 0.949873 + 0.312636i
\(217\) 4.74612i 0.322188i
\(218\) 4.00332 1.17547i 0.271139 0.0796126i
\(219\) 0.0293847 0.0383833i 0.00198563 0.00259370i
\(220\) −8.77193 + 5.63730i −0.591403 + 0.380066i
\(221\) −7.97551 2.13703i −0.536491 0.143752i
\(222\) 7.18861 18.6562i 0.482468 1.25212i
\(223\) −1.56986 + 2.71908i −0.105126 + 0.182083i −0.913790 0.406188i \(-0.866858\pi\)
0.808664 + 0.588271i \(0.200191\pi\)
\(224\) −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
\(227\) 3.64479 + 13.6026i 0.241913 + 0.902833i 0.974910 + 0.222601i \(0.0714546\pi\)
−0.732996 + 0.680233i \(0.761879\pi\)
\(228\) 13.2336 + 15.6096i 0.876414 + 1.03377i
\(229\) −4.91218 + 18.3325i −0.324606 + 1.21145i 0.590101 + 0.807330i \(0.299088\pi\)
−0.914707 + 0.404117i \(0.867579\pi\)
\(230\) −2.20867 + 9.10415i −0.145636 + 0.600310i
\(231\) 2.44061 + 3.17333i 0.160580 + 0.208790i
\(232\) 3.54569 1.22714i 0.232786 0.0805656i
\(233\) 12.6802i 0.830708i 0.909660 + 0.415354i \(0.136342\pi\)
−0.909660 + 0.415354i \(0.863658\pi\)
\(234\) 4.85171 8.93243i 0.317166 0.583932i
\(235\) −1.38776 1.38776i −0.0905275 0.0905275i
\(236\) 21.5490 6.88832i 1.40272 0.448391i
\(237\) −7.00781 + 2.91188i −0.455206 + 0.189147i
\(238\) 4.78344 + 7.84779i 0.310065 + 0.508697i
\(239\) −3.69405 6.39829i −0.238948 0.413871i 0.721464 0.692451i \(-0.243469\pi\)
−0.960413 + 0.278581i \(0.910136\pi\)
\(240\) −6.63827 28.7132i −0.428499 1.85343i
\(241\) 11.1955 19.3912i 0.721167 1.24910i −0.239366 0.970929i \(-0.576940\pi\)
0.960533 0.278168i \(-0.0897271\pi\)
\(242\) −13.4281 + 0.319605i −0.863189 + 0.0205450i
\(243\) 15.4662 + 1.94859i 0.992156 + 0.125002i
\(244\) −6.60546 + 7.26615i −0.422871 + 0.465168i
\(245\) −14.1499 + 3.79145i −0.904003 + 0.242227i
\(246\) 7.84704 + 5.71644i 0.500309 + 0.364467i
\(247\) 12.2577 7.07698i 0.779938 0.450297i
\(248\) −5.89527 + 3.98996i −0.374350 + 0.253362i
\(249\) −2.33929 + 5.66538i −0.148246 + 0.359029i
\(250\) −46.7185 + 13.7176i −2.95474 + 0.867579i
\(251\) −7.52339 7.52339i −0.474872 0.474872i 0.428615 0.903487i \(-0.359002\pi\)
−0.903487 + 0.428615i \(0.859002\pi\)
\(252\) −10.7697 + 3.46910i −0.678430 + 0.218533i
\(253\) 1.34967 1.34967i 0.0848533 0.0848533i
\(254\) 6.07991 + 3.31991i 0.381487 + 0.208309i
\(255\) −20.1264 + 15.4792i −1.26036 + 0.969343i
\(256\) −10.4775 12.0923i −0.654842 0.755766i
\(257\) 2.21664 + 3.83934i 0.138270 + 0.239491i 0.926842 0.375452i \(-0.122512\pi\)
−0.788572 + 0.614943i \(0.789179\pi\)
\(258\) 4.71728 + 5.84050i 0.293685 + 0.363613i
\(259\) 3.98377 + 14.8676i 0.247539 + 0.923830i
\(260\) −20.3600 + 0.969736i −1.26267 + 0.0601405i
\(261\) 3.44203 1.99749i 0.213056 0.123642i
\(262\) −18.8348 17.9591i −1.16362 1.10952i
\(263\) 4.61948 + 2.66706i 0.284850 + 0.164458i 0.635617 0.772005i \(-0.280746\pi\)
−0.350767 + 0.936463i \(0.614079\pi\)
\(264\) −1.88992 + 5.69928i −0.116316 + 0.350767i
\(265\) 29.2529 16.8891i 1.79699 1.03749i
\(266\) −15.3107 3.71438i −0.938757 0.227743i
\(267\) −5.00004 + 6.53122i −0.305997 + 0.399704i
\(268\) 0.180667 + 0.565189i 0.0110360 + 0.0345244i
\(269\) 20.6406 20.6406i 1.25848 1.25848i 0.306663 0.951818i \(-0.400788\pi\)
0.951818 0.306663i \(-0.0992124\pi\)
\(270\) −12.7412 28.5436i −0.775407 1.73711i
\(271\) 23.2339 1.41136 0.705680 0.708530i \(-0.250642\pi\)
0.705680 + 0.708530i \(0.250642\pi\)
\(272\) −5.72660 + 12.5391i −0.347226 + 0.760294i
\(273\) 1.03010 + 7.75762i 0.0623446 + 0.469512i
\(274\) 11.4057 + 18.7124i 0.689044 + 1.13046i
\(275\) 15.5019 + 4.15373i 0.934801 + 0.250479i
\(276\) 2.30467 + 4.87761i 0.138725 + 0.293598i
\(277\) 19.0092 5.09351i 1.14215 0.306039i 0.362338 0.932047i \(-0.381979\pi\)
0.779817 + 0.626007i \(0.215312\pi\)
\(278\) −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 \(-0.523086\pi\)
−0.899980 + 0.435930i \(0.856419\pi\)
\(282\) −1.12381 0.119560i −0.0669220 0.00711968i
\(283\) −3.43848 + 12.8326i −0.204397 + 0.762819i 0.785236 + 0.619197i \(0.212542\pi\)
−0.989633 + 0.143622i \(0.954125\pi\)
\(284\) 23.5443 15.1308i 1.39710 0.897848i
\(285\) 5.63302 43.1585i 0.333671 2.55649i
\(286\) 3.64494 + 1.99030i 0.215530 + 0.117689i
\(287\) −7.47420 −0.441188
\(288\) −13.3629 10.4610i −0.787419 0.616419i
\(289\) −5.12358 −0.301387
\(290\) −7.00390 3.82445i −0.411283 0.224579i
\(291\) −13.3508 + 5.54752i −0.782638 + 0.325201i
\(292\) −0.0469573 + 0.0301772i −0.00274797 + 0.00176599i
\(293\) 2.20679 8.23584i 0.128922 0.481143i −0.871027 0.491235i \(-0.836546\pi\)
0.999949 + 0.0100919i \(0.00321239\pi\)
\(294\) −4.96699 + 6.81826i −0.289681 + 0.397649i
\(295\) −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
\(299\) 3.60405 0.965702i 0.208427 0.0558480i
\(300\) −25.8280 + 37.2875i −1.49118 + 2.15279i
\(301\) −5.58291 1.49594i −0.321794 0.0862244i
\(302\) 2.86031 + 4.69266i 0.164592 + 0.270032i
\(303\) 11.9464 + 4.93279i 0.686304 + 0.283381i
\(304\) −8.25760 22.1403i −0.473606 1.26984i
\(305\) 20.8853 1.19589
\(306\) −3.41543 + 14.2166i −0.195247 + 0.812706i
\(307\) −7.13558 + 7.13558i −0.407249 + 0.407249i −0.880778 0.473529i \(-0.842980\pi\)
0.473529 + 0.880778i \(0.342980\pi\)
\(308\) −1.40750 4.40315i −0.0802000 0.250893i
\(309\) −24.2353 3.16318i −1.37870 0.179947i
\(310\) 14.7134 + 3.56947i 0.835663 + 0.202732i
\(311\) 10.0741 5.81630i 0.571252 0.329812i −0.186397 0.982474i \(-0.559681\pi\)
0.757649 + 0.652662i \(0.226348\pi\)
\(312\) −8.76994 + 7.80116i −0.496500 + 0.441654i
\(313\) 5.76956 + 3.33106i 0.326115 + 0.188282i 0.654115 0.756395i \(-0.273041\pi\)
−0.328000 + 0.944678i \(0.606375\pi\)
\(314\) 6.60513 + 6.29802i 0.372749 + 0.355418i
\(315\) 20.8674 + 11.9859i 1.17574 + 0.675328i
\(316\) 8.75276 0.416890i 0.492381 0.0234519i
\(317\) 0.708583 + 2.64447i 0.0397980 + 0.148528i 0.982966 0.183789i \(-0.0588363\pi\)
−0.943168 + 0.332317i \(0.892170\pi\)
\(318\) 6.99372 18.1504i 0.392188 1.01782i
\(319\) 0.812945 + 1.40806i 0.0455162 + 0.0788364i
\(320\) −4.04061 + 33.7889i −0.225877 + 1.88886i
\(321\) 1.24132 + 9.34829i 0.0692837 + 0.521770i
\(322\) −3.64516 1.99042i −0.203137 0.110922i
\(323\) −14.3957 + 14.3957i −0.801000 + 0.801000i
\(324\) −16.0356 8.17681i −0.890865 0.454267i
\(325\) 22.1835 + 22.1835i 1.23052 + 1.23052i
\(326\) 20.2996 5.96044i 1.12429 0.330118i
\(327\) −5.06557 + 0.672636i −0.280126 + 0.0371968i
\(328\) −6.28339 9.28389i −0.346942 0.512617i
\(329\) 0.753501 0.435034i 0.0415418 0.0239842i
\(330\) 11.6731 5.17947i 0.642584 0.285120i
\(331\) −19.6789 + 5.27295i −1.08165 + 0.289827i −0.755272 0.655412i \(-0.772495\pi\)
−0.326379 + 0.945239i \(0.605829\pi\)
\(332\) 4.76082 5.23701i 0.261284 0.287418i
\(333\) −12.1960 + 21.2332i −0.668337 + 1.16357i
\(334\) −30.5524 + 0.727186i −1.67175 + 0.0397898i
\(335\) 0.630997 1.09292i 0.0344751 0.0597126i
\(336\) 13.0573 + 0.451944i 0.712332 + 0.0246555i
\(337\) −0.514533 0.891197i −0.0280284 0.0485466i 0.851671 0.524077i \(-0.175590\pi\)
−0.879699 + 0.475530i \(0.842256\pi\)
\(338\) −5.34341 8.76647i −0.290643 0.476833i
\(339\) −0.918174 + 7.03477i −0.0498684 + 0.382076i
\(340\) 27.9263 8.92688i 1.51452 0.484128i
\(341\) −2.18123 2.18123i −0.118120 0.118120i
\(342\) −13.0923 21.3722i −0.707953 1.15568i
\(343\) 19.6948i 1.06342i
\(344\) −2.83529 8.19227i −0.152868 0.441698i
\(345\) 4.37898 10.6052i 0.235756 0.570964i
\(346\) 6.45378 26.6025i 0.346957 1.43016i
\(347\) −8.08026 + 30.1559i −0.433771 + 1.61886i 0.310219 + 0.950665i \(0.399598\pi\)
−0.743990 + 0.668191i \(0.767069\pi\)
\(348\) −4.52137 + 0.820917i −0.242371 + 0.0440058i
\(349\) 4.62320 + 17.2540i 0.247474 + 0.923587i 0.972124 + 0.234469i \(0.0753352\pi\)
−0.724649 + 0.689118i \(0.757998\pi\)
\(350\) −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 −0.892092 0.451854i \(-0.850763\pi\)
0.837363 + 0.546647i \(0.184096\pi\)
\(354\) −27.3720 + 4.29969i −1.45480 + 0.228526i
\(355\) −57.4962 15.4061i −3.05158 0.817668i
\(356\) 7.99015 5.13489i 0.423477 0.272149i
\(357\) −4.31917 10.3946i −0.228595 0.550143i
\(358\) −5.52961 + 1.62362i −0.292249 + 0.0858110i
\(359\) 4.76579i 0.251529i 0.992060 + 0.125764i \(0.0401383\pi\)
−0.992060 + 0.125764i \(0.959862\pi\)
\(360\) 2.65477 + 35.9961i 0.139918 + 1.89716i
\(361\) 15.8989i 0.836785i
\(362\) −5.35391 18.2340i −0.281395 0.958356i
\(363\) 16.3123 + 2.12907i 0.856171 + 0.111747i
\(364\) 1.92087 8.82983i 0.100681 0.462809i
\(365\) 0.114672 + 0.0307261i 0.00600218 + 0.00160828i
\(366\) 9.35617 7.55683i 0.489055 0.395002i
\(367\) 8.61021 14.9133i 0.449449 0.778469i −0.548901 0.835887i \(-0.684954\pi\)
0.998350 + 0.0574187i \(0.0182870\pi\)
\(368\) −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
\(371\) 3.87577 + 14.4646i 0.201220 + 0.750963i
\(372\) 7.88278 3.72461i 0.408703 0.193112i
\(373\) 4.29744 16.0383i 0.222513 0.830430i −0.760872 0.648901i \(-0.775229\pi\)
0.983386 0.181529i \(-0.0581046\pi\)
\(374\) −5.80508 1.40832i −0.300174 0.0728224i
\(375\) 59.1149 7.84962i 3.05268 0.405353i
\(376\) 1.17382 + 0.570219i 0.0605350 + 0.0294068i
\(377\) 3.17830i 0.163691i
\(378\) 13.6849 2.18093i 0.703876 0.112175i
\(379\) −22.5741 22.5741i −1.15955 1.15955i −0.984572 0.174981i \(-0.944013\pi\)
−0.174981 0.984572i \(-0.555987\pi\)
\(380\) −23.0297 + 44.6708i −1.18140 + 2.29156i
\(381\) −6.73667 5.15731i −0.345130 0.264217i
\(382\) 5.70983 3.48030i 0.292140 0.178067i
\(383\) −12.6153 21.8504i −0.644614 1.11650i −0.984391 0.175997i \(-0.943685\pi\)
0.339777 0.940506i \(-0.389648\pi\)
\(384\) 10.4156 + 16.5987i 0.531517 + 0.847048i
\(385\) −4.91584 + 8.51448i −0.250534 + 0.433938i
\(386\) 0.657224 + 27.6130i 0.0334518 + 1.40546i
\(387\) −4.61518 7.95276i −0.234603 0.404261i
\(388\) 16.6752 0.794231i 0.846554 0.0403210i
\(389\) 7.09570 1.90129i 0.359766 0.0963991i −0.0744082 0.997228i \(-0.523707\pi\)
0.434175 + 0.900829i \(0.357040\pi\)
\(390\) 24.8239 + 2.64096i 1.25701 + 0.133730i
\(391\) −4.64781 + 2.68342i −0.235050 + 0.135706i
\(392\) 8.06674 5.45962i 0.407432 0.275752i
\(393\) 19.4315 + 25.2653i 0.980190 + 1.27447i
\(394\) 3.88768 + 13.2404i 0.195858 + 0.667040i
\(395\) −13.1783 13.1783i −0.663073 0.663073i
\(396\) 3.35524 6.54391i 0.168607 0.328844i
\(397\) −2.23236 + 2.23236i −0.112039 + 0.112039i −0.760904 0.648865i \(-0.775244\pi\)
0.648865 + 0.760904i \(0.275244\pi\)
\(398\) −16.5884 + 30.3792i −0.831501 + 1.52277i
\(399\) 17.8350 + 7.36424i 0.892867 + 0.368673i
\(400\) 42.6647 30.3806i 2.13323 1.51903i
\(401\) 9.10949 + 15.7781i 0.454906 + 0.787921i 0.998683 0.0513094i \(-0.0163395\pi\)
−0.543777 + 0.839230i \(0.683006\pi\)
\(402\) −0.112773 0.717914i −0.00562458 0.0358063i
\(403\) −1.56069 5.82456i −0.0777433 0.290142i
\(404\) −11.0431 10.0390i −0.549417 0.499460i
\(405\) 10.0731 + 36.9344i 0.500538 + 1.83528i
\(406\) 2.44134 2.56039i 0.121162 0.127070i
\(407\) −8.66376 5.00202i −0.429447 0.247941i
\(408\) 9.28041 14.1035i 0.459449 0.698226i
\(409\) −22.6986 + 13.1050i −1.12237 + 0.648002i −0.942006 0.335597i \(-0.891062\pi\)
−0.180368 + 0.983599i \(0.557729\pi\)
\(410\) −5.62121 + 23.1706i −0.277612 + 1.14432i
\(411\) −10.2987 24.7851i −0.507997 1.22256i
\(412\) 25.0845 + 12.9322i 1.23583 + 0.637122i
\(413\) 15.0834 15.0834i 0.742207 0.742207i
\(414\) −1.87554 6.33532i −0.0921775 0.311364i
\(415\) −15.0529 −0.738918
\(416\) 12.5826 5.03707i 0.616912 0.246963i
\(417\) 10.1232 7.78576i 0.495737 0.381270i
\(418\) 8.74356 5.32944i 0.427661 0.260671i
\(419\) 11.2202 + 3.00645i 0.548144 + 0.146875i 0.522254 0.852790i \(-0.325091\pi\)
0.0258901 + 0.999665i \(0.491758\pi\)
\(420\) −17.9692 21.1955i −0.876809 1.03424i
\(421\) −9.74548 + 2.61129i −0.474966 + 0.127267i −0.488358 0.872644i \(-0.662404\pi\)
0.0133918 + 0.999910i \(0.495737\pi\)
\(422\) 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
\(426\) −31.3313 + 13.9020i −1.51801 + 0.673553i
\(427\) −2.39641 + 8.94353i −0.115970 + 0.432808i
\(428\) 2.31474 10.6404i 0.111887 0.514321i
\(429\) −4.03867 3.09184i −0.194989 0.149276i
\(430\) −8.83633 + 16.1824i −0.426126 + 0.780385i
\(431\) −4.07825 −0.196442 −0.0982211 0.995165i \(-0.531315\pi\)
−0.0982211 + 0.995165i \(0.531315\pi\)
\(432\) 14.2136 + 15.1649i 0.683851 + 0.729622i
\(433\) −25.1331 −1.20782 −0.603910 0.797052i \(-0.706392\pi\)
−0.603910 + 0.797052i \(0.706392\pi\)
\(434\) −3.21675 + 5.89100i −0.154409 + 0.282777i
\(435\) 7.76047 + 5.94110i 0.372086 + 0.284854i
\(436\) 5.76570 + 1.25429i 0.276127 + 0.0600696i
\(437\) 2.38110 8.88638i 0.113903 0.425093i
\(438\) 0.0624878 0.0277264i 0.00298578 0.00132482i
\(439\) 13.5272 + 7.80991i 0.645616 + 0.372747i 0.786775 0.617240i \(-0.211749\pi\)
−0.141158 + 0.989987i \(0.545083\pi\)
\(440\) −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
\(443\) 32.6709 8.75415i 1.55224 0.415922i 0.622045 0.782982i \(-0.286302\pi\)
0.930197 + 0.367060i \(0.119636\pi\)
\(444\) 21.5671 18.2843i 1.02353 0.867733i
\(445\) −19.5123 5.22830i −0.924970 0.247845i
\(446\) −3.79144 + 2.31099i −0.179530 + 0.109428i
\(447\) 10.6039 8.15544i 0.501547 0.385739i
\(448\) −14.0055 5.60726i −0.661697 0.264918i
\(449\) −28.0284 −1.32274 −0.661370 0.750060i \(-0.730025\pi\)
−0.661370 + 0.750060i \(0.730025\pi\)
\(450\) 38.2466 40.2909i 1.80296 1.89933i
\(451\) 3.43500 3.43500i 0.161748 0.161748i
\(452\) 3.75381 7.28127i 0.176565 0.342482i
\(453\) −2.58269 6.21557i −0.121345 0.292033i
\(454\) −4.69532 + 19.3541i −0.220362 + 0.908334i
\(455\) −16.6441 + 9.60949i −0.780289 + 0.450500i
\(456\) 5.84618 + 28.3442i 0.273772 + 1.32734i
\(457\) 14.8363 + 8.56574i 0.694012 + 0.400688i 0.805113 0.593121i \(-0.202104\pi\)
−0.111101 + 0.993809i \(0.535438\pi\)
\(458\) −18.5222 + 19.4254i −0.865488 + 0.907692i
\(459\) 6.79742 16.5668i 0.317276 0.773272i
\(460\) −8.91192 + 9.80332i −0.415521 + 0.457082i
\(461\) 2.43727 + 9.09603i 0.113515 + 0.423644i 0.999172 0.0406970i \(-0.0129578\pi\)
−0.885656 + 0.464341i \(0.846291\pi\)
\(462\) 0.878564 + 5.59297i 0.0408745 + 0.260209i
\(463\) −0.777204 1.34616i −0.0361197 0.0625612i 0.847400 0.530954i \(-0.178166\pi\)
−0.883520 + 0.468393i \(0.844833\pi\)
\(464\) 5.23271 + 0.879991i 0.242922 + 0.0408526i
\(465\) −17.1392 7.07694i −0.794812 0.328185i
\(466\) −8.59420 + 15.7390i −0.398118 + 0.729094i
\(467\) 9.81211 9.81211i 0.454050 0.454050i −0.442646 0.896696i \(-0.645960\pi\)
0.896696 + 0.442646i \(0.145960\pi\)
\(468\) 12.0761 7.79883i 0.558220 0.360501i
\(469\) 0.395609 + 0.395609i 0.0182675 + 0.0182675i
\(470\) −0.781946 2.66309i −0.0360685 0.122839i
\(471\) −6.81438 8.86022i −0.313990 0.408257i
\(472\) 31.4158 + 6.05521i 1.44603 + 0.278713i
\(473\) 3.25331 1.87830i 0.149587 0.0863643i
\(474\) −10.6718 1.13535i −0.490173 0.0521484i
\(475\) 74.7175 20.0205i 3.42828 0.918604i
\(476\) 0.618370 + 12.9829i 0.0283429 + 0.595071i
\(477\) −11.8654 + 20.6576i −0.543278 + 0.945845i
\(478\) −0.248614 10.4454i −0.0113713 0.477761i
\(479\) −11.7030 + 20.2702i −0.534724 + 0.926169i 0.464453 + 0.885598i \(0.346251\pi\)
−0.999177 + 0.0405710i \(0.987082\pi\)
\(480\) 11.2212 40.1386i 0.512175 1.83207i
\(481\) −9.77797 16.9359i −0.445837 0.772212i
\(482\) 27.0388 16.4809i 1.23158 0.750684i
\(483\) 4.03891 + 3.09202i 0.183777 + 0.140692i
\(484\) −16.8838 8.70436i −0.767448 0.395653i
\(485\) −25.1064 25.1064i −1.14002 1.14002i
\(486\) 17.8763 + 12.9011i 0.810886 + 0.585205i
\(487\) 21.0301i 0.952967i 0.879183 + 0.476483i \(0.158089\pi\)
−0.879183 + 0.476483i \(0.841911\pi\)
\(488\) −13.1236 + 4.54198i −0.594077 + 0.205606i
\(489\) −25.6860 + 3.41073i −1.16156 + 0.154239i
\(490\) −20.1329 4.88425i −0.909511 0.220648i
\(491\) −6.82214 + 25.4606i −0.307879 + 1.14902i 0.622560 + 0.782572i \(0.286093\pi\)
−0.930439 + 0.366447i \(0.880574\pi\)
\(492\) 5.86553 + 12.4138i 0.264438 + 0.559658i
\(493\) −1.18321 4.41580i −0.0532891 0.198877i
\(494\) 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
\(498\) −6.74337 + 5.44652i −0.302178 + 0.244064i
\(499\) 12.8466 + 3.44223i 0.575092 + 0.154095i 0.534631 0.845086i \(-0.320451\pi\)
0.0404610 + 0.999181i \(0.487117\pi\)
\(500\) −67.2854 14.6375i −3.00909 0.654608i
\(501\) 37.1147 + 4.84419i 1.65816 + 0.216422i
\(502\) −4.23912 14.4373i −0.189201 0.644368i
\(503\) 7.97796i 0.355720i −0.984056 0.177860i \(-0.943083\pi\)
0.984056 0.177860i \(-0.0569174\pi\)
\(504\) −15.7189 2.99342i −0.700175 0.133338i
\(505\) 31.7417i 1.41249i
\(506\) 2.59001 0.760486i 0.115140 0.0338077i
\(507\) 4.82479 + 11.6115i 0.214276 + 0.515683i
\(508\) 5.29641 + 8.24149i 0.234990 + 0.365657i
\(509\) 33.3037 + 8.92371i 1.47616 + 0.395536i 0.905039 0.425328i \(-0.139841\pi\)
0.571123 + 0.820865i \(0.306508\pi\)
\(510\) −35.4726 + 5.57216i −1.57075 + 0.246739i
\(511\) −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
\(515\) −15.5353 57.9785i −0.684567 2.55484i
\(516\) 1.89672 + 10.4466i 0.0834983 + 0.459884i
\(517\) −0.146362 + 0.546229i −0.00643697 + 0.0240231i
\(518\) −5.13200 + 21.1541i −0.225487 + 0.929458i
\(519\) −12.7955 + 30.9886i −0.561658 + 1.36025i
\(520\) −25.9285 12.5956i −1.13704 0.552354i
\(521\) 20.0111i 0.876703i −0.898804 0.438352i \(-0.855562\pi\)
0.898804 0.438352i \(-0.144438\pi\)
\(522\) 5.62615 0.146451i 0.246250 0.00641000i
\(523\) −11.2432 11.2432i −0.491633 0.491633i 0.417188 0.908820i \(-0.363016\pi\)
−0.908820 + 0.417188i \(0.863016\pi\)
\(524\) −11.2062 35.0568i −0.489545 1.53146i
\(525\) −5.53518 + 42.4089i −0.241575 + 1.85087i
\(526\) 3.92617 + 6.44134i 0.171189 + 0.280856i
\(527\) 4.33671 + 7.51140i 0.188910 + 0.327202i
\(528\) −6.20858 + 5.79317i −0.270194 + 0.252115i
\(529\) −10.2874 + 17.8183i −0.447278 + 0.774708i
\(530\) 47.7562 1.13666i 2.07440 0.0493733i
\(531\) 33.9347 0.0755992i 1.47264 0.00328072i
\(532\) −16.4865 14.9874i −0.714780 0.649786i
\(533\) 9.17253 2.45777i 0.397306 0.106458i
\(534\) −10.6328 + 4.71786i −0.460126 + 0.204162i
\(535\) −20.0569 + 11.5799i −0.867137 + 0.500642i
\(536\) −0.158816 + 0.823975i −0.00685982 + 0.0355903i
\(537\) 6.99685 0.929082i 0.301936 0.0400929i
\(538\) 39.6091 11.6301i 1.70767 0.501411i
\(539\) 2.98466 + 2.98466i 0.128559 + 0.128559i
\(540\) 3.53113 44.0646i 0.151956 1.89624i
\(541\) 9.38252 9.38252i 0.403386 0.403386i −0.476038 0.879424i \(-0.657928\pi\)
0.879424 + 0.476038i \(0.157928\pi\)
\(542\) 28.8385 + 15.7471i 1.23872 + 0.676397i
\(543\) 3.06366 + 23.0722i 0.131474 + 0.990123i
\(544\) −15.6065 + 11.6825i −0.669125 + 0.500884i
\(545\) −6.27481 10.8683i −0.268783 0.465546i
\(546\) −3.97925 + 10.3271i −0.170296 + 0.441959i
\(547\) −9.70067 36.2034i −0.414770 1.54794i −0.785295 0.619122i \(-0.787489\pi\)
0.370524 0.928823i \(-0.379178\pi\)
\(548\) 1.47445 + 30.9566i 0.0629854 + 1.32240i
\(549\) −12.7399 + 7.39327i −0.543725 + 0.315537i
\(550\) 16.4261 + 15.6624i 0.700411 + 0.667845i
\(551\) 6.78671 + 3.91831i 0.289123 + 0.166926i
\(552\) −0.445259 + 7.61623i −0.0189515 + 0.324168i
\(553\) 7.15532 4.13113i 0.304275 0.175673i
\(554\) 27.0469 + 6.56160i 1.14911 + 0.278776i
\(555\) −59.6303 7.78291i −2.53116 0.330366i
\(556\) −14.0465 + 4.49007i −0.595703 + 0.190421i
\(557\) 9.01169 9.01169i 0.381838 0.381838i −0.489926 0.871764i \(-0.662976\pi\)
0.871764 + 0.489926i \(0.162976\pi\)
\(558\) −10.2386 + 3.03108i −0.433435 + 0.128316i
\(559\) 7.34341 0.310593
\(560\) 11.2126 + 30.0633i 0.473819 + 1.27041i
\(561\) 6.76220 + 2.79217i 0.285500 + 0.117886i
\(562\) −13.8546 22.7300i −0.584420 0.958809i
\(563\) −16.4015 4.39477i −0.691241 0.185218i −0.103937 0.994584i \(-0.533144\pi\)
−0.587304 + 0.809366i \(0.699811\pi\)
\(564\) −1.31387 0.910080i −0.0553238 0.0383213i
\(565\) −16.8294 + 4.50942i −0.708018 + 0.189713i
\(566\) −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 \(-0.221774\pi\)
−0.172261 + 0.985051i \(0.555107\pi\)
\(570\) 36.2431 49.7514i 1.51806 2.08386i
\(571\) −9.58794 + 35.7827i −0.401243 + 1.49746i 0.409638 + 0.912248i \(0.365655\pi\)
−0.810881 + 0.585211i \(0.801012\pi\)
\(572\) 3.17523 + 4.94082i 0.132763 + 0.206586i
\(573\) −7.56284 + 3.14250i −0.315942 + 0.131280i
\(574\) −9.27715 5.06575i −0.387221 0.211440i
\(575\) 20.3914 0.850382
\(576\) −9.49631 22.0413i −0.395680 0.918389i
\(577\) −2.14863 −0.0894487 −0.0447243 0.998999i \(-0.514241\pi\)
−0.0447243 + 0.998999i \(0.514241\pi\)
\(578\) −6.35950 3.47258i −0.264520 0.144440i
\(579\) 4.37813 33.5439i 0.181949 1.39404i
\(580\) −6.10133 9.49399i −0.253344 0.394216i
\(581\) 1.72719 6.44597i 0.0716560 0.267424i
\(582\) −20.3312 2.16299i −0.842757 0.0896590i
\(583\) −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
\(587\) −21.6014 + 5.78807i −0.891585 + 0.238899i −0.675399 0.737453i \(-0.736028\pi\)
−0.216186 + 0.976352i \(0.569362\pi\)
\(588\) −10.7863 + 5.09654i −0.444821 + 0.210178i
\(589\) −14.3614 3.84813i −0.591752 0.158559i
\(590\) −35.4159 58.1038i −1.45805 2.39210i
\(591\) −2.22464 16.7536i −0.0915095 0.689151i
\(592\) −30.5904 + 11.4092i −1.25726 + 0.468915i
\(593\) 10.7128 0.439921 0.219960 0.975509i \(-0.429407\pi\)
0.219960 + 0.975509i \(0.429407\pi\)
\(594\) −5.28702 + 7.29165i −0.216929 + 0.299180i
\(595\) 19.5473 19.5473i 0.801361 0.801361i
\(596\) −14.7134 + 4.70327i −0.602685 + 0.192653i
\(597\) 25.7693 33.6608i 1.05467 1.37764i
\(598\) 5.12795 + 1.24404i 0.209697 + 0.0508727i
\(599\) 23.8944 13.7955i 0.976300 0.563667i 0.0751489 0.997172i \(-0.476057\pi\)
0.901151 + 0.433505i \(0.142723\pi\)
\(600\) −57.3304 + 28.7768i −2.34050 + 1.17481i
\(601\) −9.37490 5.41260i −0.382410 0.220785i 0.296456 0.955046i \(-0.404195\pi\)
−0.678866 + 0.734262i \(0.737528\pi\)
\(602\) −5.91575 5.64069i −0.241108 0.229897i
\(603\) 0.00198282 + 0.890041i 8.07466e−5 + 0.0362453i
\(604\) 0.369760 + 7.76325i 0.0150453 + 0.315882i
\(605\) 10.4565 + 39.0241i 0.425116 + 1.58655i
\(606\) 11.4849 + 14.2196i 0.466543 + 0.577630i
\(607\) 19.0270 + 32.9557i 0.772282 + 1.33763i 0.936310 + 0.351175i \(0.114218\pi\)
−0.164028 + 0.986456i \(0.552449\pi\)
\(608\) 4.75640 33.0778i 0.192898 1.34148i
\(609\) −3.43455 + 2.64150i −0.139175 + 0.107039i
\(610\) 25.9234 + 14.1553i 1.04961 + 0.573133i
\(611\) −0.781661 + 0.781661i −0.0316226 + 0.0316226i
\(612\) −13.8748 + 15.3311i −0.560855 + 0.619722i
\(613\) −34.9758 34.9758i −1.41266 1.41266i −0.739489 0.673168i \(-0.764933\pi\)
−0.673168 0.739489i \(-0.735067\pi\)
\(614\) −13.6931 + 4.02061i −0.552608 + 0.162259i
\(615\) 11.1448 26.9909i 0.449401 1.08838i
\(616\) 1.23727 6.41925i 0.0498511 0.258639i
\(617\) −11.9478 + 6.89807i −0.481001 + 0.277706i −0.720834 0.693108i \(-0.756241\pi\)
0.239833 + 0.970814i \(0.422907\pi\)
\(618\) −27.9375 20.3520i −1.12381 0.818679i
\(619\) 32.9231 8.82171i 1.32329 0.354574i 0.473080 0.881019i \(-0.343142\pi\)
0.850209 + 0.526445i \(0.176475\pi\)
\(620\) 15.8433 + 14.4027i 0.636282 + 0.578426i
\(621\) 1.08302 + 8.01922i 0.0434603 + 0.321800i
\(622\) 16.4463 0.391444i 0.659438 0.0156955i
\(623\) 4.47773 7.75565i 0.179396 0.310724i
\(624\) −16.1728 + 3.73903i −0.647430 + 0.149681i
\(625\) 40.4916 + 70.1335i 1.61966 + 2.80534i
\(626\) 4.90364 + 8.04499i 0.195989 + 0.321542i
\(627\) −11.5811 + 4.81217i −0.462505 + 0.192180i
\(628\) 3.92987 + 12.2940i 0.156819 + 0.490583i
\(629\) 19.8900 + 19.8900i 0.793066 + 0.793066i
\(630\) 17.7775 + 29.0203i 0.708271 + 1.15620i
\(631\) 7.97657i 0.317542i −0.987315 0.158771i \(-0.949247\pi\)
0.987315 0.158771i \(-0.0507532\pi\)
\(632\) 11.1467 + 5.41486i 0.443392 + 0.215391i
\(633\) −23.1580 30.1106i −0.920449 1.19679i
\(634\) −0.912816 + 3.76263i −0.0362526 + 0.149433i
\(635\) 5.39276 20.1260i 0.214005 0.798677i
\(636\) 20.9825 17.7886i 0.832008 0.705363i
\(637\) 2.13555 + 7.96998i 0.0846135 + 0.315782i
\(638\) 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 0.214767 + 0.976665i \(0.431101\pi\)
−0.953200 + 0.302339i \(0.902232\pi\)
\(642\) −4.79518 + 12.4446i −0.189251 + 0.491150i
\(643\) 12.4765 + 3.34308i 0.492026 + 0.131838i 0.496297 0.868153i \(-0.334693\pi\)
−0.00427070 + 0.999991i \(0.501359\pi\)
\(644\) −3.17542 4.94112i −0.125129 0.194707i
\(645\) 13.7268 17.9305i 0.540493 0.706011i
\(646\) −27.6252 + 8.11141i −1.08690 + 0.319139i
\(647\) 4.85394i 0.190828i −0.995438 0.0954140i \(-0.969582\pi\)
0.995438 0.0954140i \(-0.0304175\pi\)
\(648\) −14.3618 21.0176i −0.564184 0.825649i
\(649\) 13.8641i 0.544215i
\(650\) 12.4995 + 42.5698i 0.490270 + 1.66973i
\(651\) 4.99707 6.52735i 0.195851 0.255827i
\(652\) 29.2361 + 6.36013i 1.14498 + 0.249082i
\(653\) −37.4249 10.0280i −1.46455 0.392425i −0.563492 0.826121i \(-0.690542\pi\)
−0.901059 + 0.433696i \(0.857209\pi\)
\(654\) −6.74339 2.59837i −0.263687 0.101604i
\(655\) −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
\(659\) 9.85502 + 36.7794i 0.383897 + 1.43272i 0.839898 + 0.542744i \(0.182615\pi\)
−0.456001 + 0.889979i \(0.650719\pi\)
\(660\) 17.9994 + 1.48275i 0.700626 + 0.0577161i
\(661\) 3.10339 11.5820i 0.120708 0.450488i −0.878943 0.476927i \(-0.841750\pi\)
0.999650 + 0.0264400i \(0.00841709\pi\)
\(662\) −27.9997 6.79276i −1.08824 0.264008i
\(663\) 8.71871 + 11.3363i 0.338606 + 0.440264i
\(664\) 9.45870 3.27359i 0.367069 0.127040i
\(665\) 47.3876i 1.83761i
\(666\) −29.5291 + 18.0891i −1.14423 + 0.700940i
\(667\) 1.46077 + 1.46077i 0.0565613 + 0.0565613i
\(668\) −38.4152 19.8047i −1.48633 0.766267i
\(669\) 5.02188 2.08669i 0.194157 0.0806760i
\(670\) 1.52395 0.928890i 0.0588753 0.0358861i
\(671\) −3.00893 5.21163i −0.116159 0.201193i
\(672\) 15.9007 + 9.41071i 0.613381 + 0.363026i
\(673\) 14.9076 25.8207i 0.574645 0.995314i −0.421435 0.906858i \(-0.638474\pi\)
0.996080 0.0884554i \(-0.0281931\pi\)
\(674\) −0.0346286 1.45491i −0.00133385 0.0560409i
\(675\) −53.8399 + 41.5994i −2.07230 + 1.60116i
\(676\) −0.690758 14.5027i −0.0265676 0.557797i
\(677\) 27.4303 7.34993i 1.05423 0.282481i 0.310233 0.950661i \(-0.399593\pi\)
0.744000 + 0.668180i \(0.232926\pi\)
\(678\) −5.90757 + 8.10941i −0.226879 + 0.311440i
\(679\) 13.6318 7.87034i 0.523142 0.302036i
\(680\) 40.7131 + 7.84721i 1.56128 + 0.300927i
\(681\) 9.30909 22.5451i 0.356725 0.863931i
\(682\) −1.22903 4.18575i −0.0470621 0.160281i
\(683\) 34.9639 + 34.9639i 1.33786 + 1.33786i 0.898134 + 0.439721i \(0.144923\pi\)
0.439721 + 0.898134i \(0.355077\pi\)
\(684\) −1.76520 35.4012i −0.0674940 1.35360i
\(685\) 46.6088 46.6088i 1.78083 1.78083i
\(686\) 13.3484 24.4456i 0.509645 0.933338i
\(687\) 26.0576 20.0408i 0.994159 0.764606i
\(688\) 2.03321 12.0901i 0.0775153 0.460931i
\(689\) −9.51288 16.4768i −0.362412 0.627716i
\(690\) 12.6231 10.1955i 0.480554 0.388136i
\(691\) −3.37585 12.5989i −0.128424 0.479283i 0.871515 0.490369i \(-0.163138\pi\)
−0.999939 + 0.0110856i \(0.996471\pi\)
\(692\) 26.0408 28.6455i 0.989922 1.08894i
\(693\) −0.0154473 6.93394i −0.000586795 0.263399i
\(694\) −30.4680 + 31.9538i −1.15655 + 1.21295i
\(695\) 27.1620 + 15.6820i 1.03031 + 0.594851i
\(696\) −6.16842 2.04548i −0.233813 0.0775338i
\(697\) −11.8290 + 6.82946i −0.448054 + 0.258684i
\(698\) −5.95574 + 24.5495i −0.225428 + 0.929214i
\(699\) 13.3507 17.4391i 0.504969 0.659608i
\(700\) 22.6297 43.8949i 0.855324 1.65907i
\(701\) −1.18582 + 1.18582i −0.0447879 + 0.0447879i −0.729146 0.684358i \(-0.760083\pi\)
0.684358 + 0.729146i \(0.260083\pi\)
\(702\) −16.0773 + 7.17655i −0.606799 + 0.270861i
\(703\) −48.2184 −1.81859
\(704\) 9.01365 3.85967i 0.339715 0.145467i
\(705\) 0.447452 + 3.36973i 0.0168520 + 0.126911i
\(706\) −2.48341 + 1.51371i −0.0934644 + 0.0569691i
\(707\) −13.5924 3.64208i −0.511196 0.136975i
\(708\) −36.8889 13.2149i −1.38637 0.496646i
\(709\) 13.3909 3.58808i 0.502906 0.134753i 0.00155784 0.999999i \(-0.499504\pi\)
0.501349 + 0.865245i \(0.332837\pi\)
\(710\) −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
\(714\) 1.68406 15.8294i 0.0630243 0.592402i
\(715\) 3.23299 12.0657i 0.120907 0.451231i
\(716\) −7.96391 1.73250i −0.297625 0.0647464i
\(717\) −1.65615 + 12.6889i −0.0618502 + 0.473877i
\(718\) −3.23008 + 5.91541i −0.120546 + 0.220761i
\(719\) 22.9314 0.855198 0.427599 0.903968i \(-0.359359\pi\)
0.427599 + 0.903968i \(0.359359\pi\)
\(720\) −21.1017 + 46.4785i −0.786415 + 1.73215i
\(721\) 26.6101 0.991013
\(722\) 10.7757 19.7341i 0.401031 0.734428i
\(723\) −35.8137 + 14.8813i −1.33193 + 0.553441i
\(724\) 5.71293 26.2611i 0.212319 0.975986i
\(725\) −4.49564 + 16.7780i −0.166964 + 0.623118i
\(726\) 18.8041 + 13.6985i 0.697887 + 0.508400i
\(727\) 14.6244 + 8.44338i 0.542387 + 0.313147i 0.746046 0.665894i \(-0.231950\pi\)
−0.203659 + 0.979042i \(0.565283\pi\)
\(728\) 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
\(731\) −10.2026 + 2.73379i −0.377358 + 0.101113i
\(732\) 16.7348 3.03844i 0.618538 0.112304i
\(733\) −39.1181 10.4817i −1.44486 0.387149i −0.550626 0.834752i \(-0.685611\pi\)
−0.894232 + 0.447603i \(0.852278\pi\)
\(734\) 20.7949 12.6751i 0.767554 0.467845i
\(735\) 23.4523 + 9.68366i 0.865051 + 0.357187i
\(736\) 3.46798 8.09815i 0.127831 0.298502i
\(737\) −0.363629 −0.0133945
\(738\) −4.77335 16.1238i −0.175710 0.593524i
\(739\) 20.2719 20.2719i 0.745713 0.745713i −0.227958 0.973671i \(-0.573205\pi\)
0.973671 + 0.227958i \(0.0732050\pi\)
\(740\) 61.7198 + 31.8192i 2.26886 + 1.16970i
\(741\) −24.3092 3.17282i −0.893020 0.116557i
\(742\) −4.99287 + 20.5806i −0.183294 + 0.755538i
\(743\) 33.3722 19.2674i 1.22431 0.706853i 0.258473 0.966019i \(-0.416781\pi\)
0.965833 + 0.259165i \(0.0834474\pi\)
\(744\) 12.3087 + 0.719590i 0.451259 + 0.0263815i
\(745\) 28.4517 + 16.4266i 1.04239 + 0.601824i
\(746\) 16.2043 16.9944i 0.593280 0.622210i
\(747\) 9.18216 5.32863i 0.335958 0.194964i
\(748\) −6.25090 5.68251i −0.228555 0.207773i
\(749\) −2.65738 9.91749i −0.0970987 0.362377i
\(750\) 78.6949 + 30.3228i 2.87353 + 1.10723i
\(751\) −2.59701 4.49815i −0.0947663 0.164140i 0.814745 0.579820i \(-0.196877\pi\)
−0.909511 + 0.415680i \(0.863544\pi\)
\(752\) 1.07050 + 1.50334i 0.0390369 + 0.0548212i
\(753\) 2.42575 + 18.2681i 0.0883991 + 0.665727i
\(754\) −2.15414 + 3.94497i −0.0784490 + 0.143667i
\(755\) 11.6885 11.6885i 0.425388 0.425388i
\(756\) 18.4642 + 6.56813i 0.671536 + 0.238881i
\(757\) 16.3310 + 16.3310i 0.593562 + 0.593562i 0.938592 0.345030i \(-0.112131\pi\)
−0.345030 + 0.938592i \(0.612131\pi\)
\(758\) −12.7196 43.3194i −0.461996 1.57343i
\(759\) −3.27725 + 0.435172i −0.118957 + 0.0157957i
\(760\) −58.8613 + 39.8377i −2.13512 + 1.44506i
\(761\) −30.2706 + 17.4767i −1.09731 + 0.633530i −0.935512 0.353294i \(-0.885061\pi\)
−0.161794 + 0.986824i \(0.551728\pi\)
\(762\) −4.86627 10.9673i −0.176286 0.397302i
\(763\) 5.37400 1.43996i 0.194552 0.0521300i
\(764\) 9.44599 0.449908i 0.341744 0.0162771i
\(765\) 43.9775 0.0979723i 1.59001 0.00354220i
\(766\) −0.849026 35.6715i −0.0306766 1.28886i
\(767\) −13.5508 + 23.4707i −0.489292 + 0.847478i
\(768\) 1.67805 + 27.6620i 0.0605515 + 0.998165i
\(769\) −11.5439 19.9946i −0.416284 0.721024i 0.579279 0.815130i \(-0.303334\pi\)
−0.995562 + 0.0941052i \(0.970001\pi\)
\(770\) −11.8725 + 7.23659i −0.427854 + 0.260789i
\(771\) 0.993788