Properties

Label 91.2.ba.a.89.1
Level $91$
Weight $2$
Character 91.89
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.ba (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 89.1
Character \(\chi\) \(=\) 91.89
Dual form 91.2.ba.a.45.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.56744 - 1.56744i) q^{2} +(0.959879 + 0.554186i) q^{3} +2.91373i q^{4} +(-0.784926 - 2.92938i) q^{5} +(-0.635898 - 2.37321i) q^{6} +(2.25305 - 1.38700i) q^{7} +(1.43221 - 1.43221i) q^{8} +(-0.885755 - 1.53417i) q^{9} +O(q^{10})\) \(q+(-1.56744 - 1.56744i) q^{2} +(0.959879 + 0.554186i) q^{3} +2.91373i q^{4} +(-0.784926 - 2.92938i) q^{5} +(-0.635898 - 2.37321i) q^{6} +(2.25305 - 1.38700i) q^{7} +(1.43221 - 1.43221i) q^{8} +(-0.885755 - 1.53417i) q^{9} +(-3.36131 + 5.82195i) q^{10} +(-0.188977 - 0.705270i) q^{11} +(-1.61475 + 2.79683i) q^{12} +(-2.65012 + 2.44476i) q^{13} +(-5.70555 - 1.35749i) q^{14} +(0.869990 - 3.24685i) q^{15} +1.33764 q^{16} +3.24611 q^{17} +(-1.01635 + 3.79309i) q^{18} +(3.85949 + 1.03415i) q^{19} +(8.53543 - 2.28706i) q^{20} +(2.93131 - 0.0827377i) q^{21} +(-0.809258 + 1.40168i) q^{22} +5.96750i q^{23} +(2.16847 - 0.581039i) q^{24} +(-3.63505 + 2.09870i) q^{25} +(7.98592 + 0.321882i) q^{26} -5.28861i q^{27} +(4.04133 + 6.56478i) q^{28} +(2.78094 + 4.81672i) q^{29} +(-6.45289 + 3.72558i) q^{30} +(3.99535 + 1.07055i) q^{31} +(-4.96110 - 4.96110i) q^{32} +(0.209456 - 0.781702i) q^{33} +(-5.08807 - 5.08807i) q^{34} +(-5.83152 - 5.51136i) q^{35} +(4.47016 - 2.58085i) q^{36} +(-6.97285 + 6.97285i) q^{37} +(-4.42855 - 7.67048i) q^{38} +(-3.89865 + 0.878018i) q^{39} +(-5.31969 - 3.07132i) q^{40} +(2.46389 + 0.660198i) q^{41} +(-4.72434 - 4.46497i) q^{42} +(-5.73009 - 3.30827i) q^{43} +(2.05497 - 0.550626i) q^{44} +(-3.79893 + 3.79893i) q^{45} +(9.35370 - 9.35370i) q^{46} +(-1.69510 + 0.454201i) q^{47} +(1.28397 + 0.741302i) q^{48} +(3.15248 - 6.24995i) q^{49} +(8.98729 + 2.40814i) q^{50} +(3.11587 + 1.79895i) q^{51} +(-7.12338 - 7.72173i) q^{52} +(3.37073 + 5.83828i) q^{53} +(-8.28958 + 8.28958i) q^{54} +(-1.91767 + 1.10717i) q^{55} +(1.24038 - 5.21333i) q^{56} +(3.13153 + 3.13153i) q^{57} +(3.19097 - 11.9089i) q^{58} +(-2.33153 - 2.33153i) q^{59} +(9.46044 + 2.53492i) q^{60} +(6.30371 - 3.63945i) q^{61} +(-4.58444 - 7.94048i) q^{62} +(-4.12354 - 2.22803i) q^{63} +12.8772i q^{64} +(9.24179 + 5.84425i) q^{65} +(-1.55358 + 0.896960i) q^{66} +(-6.27534 + 1.68147i) q^{67} +9.45827i q^{68} +(-3.30711 + 5.72808i) q^{69} +(0.501828 + 17.7793i) q^{70} +(-8.06938 + 2.16218i) q^{71} +(-3.46586 - 0.928673i) q^{72} +(1.62921 - 6.08031i) q^{73} +21.8590 q^{74} -4.65227 q^{75} +(-3.01323 + 11.2455i) q^{76} +(-1.40398 - 1.32690i) q^{77} +(7.48713 + 4.73465i) q^{78} +(7.87501 - 13.6399i) q^{79} +(-1.04995 - 3.91846i) q^{80} +(0.273613 - 0.473911i) q^{81} +(-2.82718 - 4.89682i) q^{82} +(10.4223 - 10.4223i) q^{83} +(0.241075 + 8.54105i) q^{84} +(-2.54795 - 9.50909i) q^{85} +(3.79606 + 14.1671i) q^{86} +6.16463i q^{87} +(-1.28075 - 0.739443i) q^{88} +(-6.62546 - 6.62546i) q^{89} +11.9092 q^{90} +(-2.57998 + 9.18388i) q^{91} -17.3877 q^{92} +(3.24176 + 3.24176i) q^{93} +(3.36890 + 1.94504i) q^{94} -12.1177i q^{95} +(-2.01268 - 7.51143i) q^{96} +(2.37570 + 8.86623i) q^{97} +(-14.7377 + 4.85508i) q^{98} +(-0.914619 + 0.914619i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9} - 6 q^{10} + 2 q^{11} - 8 q^{12} - 20 q^{14} + 10 q^{15} + 4 q^{16} - 12 q^{17} + 2 q^{18} + 14 q^{19} + 36 q^{20} - 6 q^{21} - 8 q^{22} - 18 q^{24} + 24 q^{26} + 2 q^{28} - 8 q^{29} - 30 q^{30} - 4 q^{31} + 10 q^{32} - 12 q^{33} - 12 q^{34} - 20 q^{35} + 54 q^{36} - 10 q^{37} - 20 q^{39} + 48 q^{40} - 18 q^{41} - 10 q^{42} + 48 q^{43} - 6 q^{44} - 6 q^{45} + 24 q^{46} - 6 q^{47} - 12 q^{48} - 50 q^{49} + 10 q^{50} - 12 q^{51} - 26 q^{52} + 12 q^{53} - 30 q^{54} + 6 q^{55} + 54 q^{56} + 12 q^{57} - 46 q^{58} + 42 q^{59} + 10 q^{60} + 30 q^{61} + 36 q^{62} + 54 q^{63} + 28 q^{65} + 66 q^{66} - 10 q^{67} - 42 q^{69} - 88 q^{70} - 42 q^{71} + 46 q^{72} + 40 q^{73} + 12 q^{74} - 40 q^{75} - 52 q^{76} - 62 q^{78} + 4 q^{79} + 30 q^{80} - 6 q^{81} - 54 q^{82} + 66 q^{83} + 104 q^{84} - 54 q^{85} - 18 q^{86} - 6 q^{88} + 72 q^{90} + 26 q^{91} - 156 q^{92} + 20 q^{93} - 18 q^{94} - 66 q^{96} - 62 q^{97} - 56 q^{98} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.56744 1.56744i −1.10835 1.10835i −0.993368 0.114979i \(-0.963320\pi\)
−0.114979 0.993368i \(-0.536680\pi\)
\(3\) 0.959879 + 0.554186i 0.554186 + 0.319960i 0.750809 0.660520i \(-0.229664\pi\)
−0.196622 + 0.980479i \(0.562997\pi\)
\(4\) 2.91373i 1.45686i
\(5\) −0.784926 2.92938i −0.351029 1.31006i −0.885408 0.464815i \(-0.846121\pi\)
0.534379 0.845245i \(-0.320546\pi\)
\(6\) −0.635898 2.37321i −0.259604 0.968857i
\(7\) 2.25305 1.38700i 0.851574 0.524235i
\(8\) 1.43221 1.43221i 0.506364 0.506364i
\(9\) −0.885755 1.53417i −0.295252 0.511391i
\(10\) −3.36131 + 5.82195i −1.06294 + 1.84106i
\(11\) −0.188977 0.705270i −0.0569786 0.212647i 0.931567 0.363570i \(-0.118442\pi\)
−0.988546 + 0.150923i \(0.951775\pi\)
\(12\) −1.61475 + 2.79683i −0.466138 + 0.807375i
\(13\) −2.65012 + 2.44476i −0.735011 + 0.678055i
\(14\) −5.70555 1.35749i −1.52487 0.362804i
\(15\) 0.869990 3.24685i 0.224631 0.838333i
\(16\) 1.33764 0.334410
\(17\) 3.24611 0.787296 0.393648 0.919261i \(-0.371213\pi\)
0.393648 + 0.919261i \(0.371213\pi\)
\(18\) −1.01635 + 3.79309i −0.239557 + 0.894039i
\(19\) 3.85949 + 1.03415i 0.885428 + 0.237250i 0.672747 0.739872i \(-0.265114\pi\)
0.212680 + 0.977122i \(0.431781\pi\)
\(20\) 8.53543 2.28706i 1.90858 0.511402i
\(21\) 2.93131 0.0827377i 0.639665 0.0180548i
\(22\) −0.809258 + 1.40168i −0.172534 + 0.298839i
\(23\) 5.96750i 1.24431i 0.782894 + 0.622155i \(0.213743\pi\)
−0.782894 + 0.622155i \(0.786257\pi\)
\(24\) 2.16847 0.581039i 0.442636 0.118604i
\(25\) −3.63505 + 2.09870i −0.727009 + 0.419739i
\(26\) 7.98592 + 0.321882i 1.56617 + 0.0631262i
\(27\) 5.28861i 1.01779i
\(28\) 4.04133 + 6.56478i 0.763740 + 1.24063i
\(29\) 2.78094 + 4.81672i 0.516407 + 0.894443i 0.999819 + 0.0190499i \(0.00606412\pi\)
−0.483412 + 0.875393i \(0.660603\pi\)
\(30\) −6.45289 + 3.72558i −1.17813 + 0.680195i
\(31\) 3.99535 + 1.07055i 0.717585 + 0.192276i 0.599094 0.800679i \(-0.295528\pi\)
0.118491 + 0.992955i \(0.462194\pi\)
\(32\) −4.96110 4.96110i −0.877007 0.877007i
\(33\) 0.209456 0.781702i 0.0364617 0.136077i
\(34\) −5.08807 5.08807i −0.872597 0.872597i
\(35\) −5.83152 5.51136i −0.985707 0.931590i
\(36\) 4.47016 2.58085i 0.745027 0.430142i
\(37\) −6.97285 + 6.97285i −1.14633 + 1.14633i −0.159061 + 0.987269i \(0.550847\pi\)
−0.987269 + 0.159061i \(0.949153\pi\)
\(38\) −4.42855 7.67048i −0.718406 1.24432i
\(39\) −3.89865 + 0.878018i −0.624283 + 0.140595i
\(40\) −5.31969 3.07132i −0.841116 0.485619i
\(41\) 2.46389 + 0.660198i 0.384795 + 0.103106i 0.446031 0.895018i \(-0.352837\pi\)
−0.0612351 + 0.998123i \(0.519504\pi\)
\(42\) −4.72434 4.46497i −0.728981 0.688959i
\(43\) −5.73009 3.30827i −0.873831 0.504507i −0.00521150 0.999986i \(-0.501659\pi\)
−0.868619 + 0.495480i \(0.834992\pi\)
\(44\) 2.05497 0.550626i 0.309798 0.0830101i
\(45\) −3.79893 + 3.79893i −0.566310 + 0.566310i
\(46\) 9.35370 9.35370i 1.37913 1.37913i
\(47\) −1.69510 + 0.454201i −0.247256 + 0.0662521i −0.380318 0.924856i \(-0.624186\pi\)
0.133062 + 0.991108i \(0.457519\pi\)
\(48\) 1.28397 + 0.741302i 0.185326 + 0.106998i
\(49\) 3.15248 6.24995i 0.450355 0.892850i
\(50\) 8.98729 + 2.40814i 1.27099 + 0.340562i
\(51\) 3.11587 + 1.79895i 0.436309 + 0.251903i
\(52\) −7.12338 7.72173i −0.987835 1.07081i
\(53\) 3.37073 + 5.83828i 0.463005 + 0.801949i 0.999109 0.0422032i \(-0.0134377\pi\)
−0.536104 + 0.844152i \(0.680104\pi\)
\(54\) −8.28958 + 8.28958i −1.12807 + 1.12807i
\(55\) −1.91767 + 1.10717i −0.258579 + 0.149291i
\(56\) 1.24038 5.21333i 0.165752 0.696661i
\(57\) 3.13153 + 3.13153i 0.414782 + 0.414782i
\(58\) 3.19097 11.9089i 0.418995 1.56371i
\(59\) −2.33153 2.33153i −0.303540 0.303540i 0.538857 0.842397i \(-0.318856\pi\)
−0.842397 + 0.538857i \(0.818856\pi\)
\(60\) 9.46044 + 2.53492i 1.22134 + 0.327256i
\(61\) 6.30371 3.63945i 0.807108 0.465984i −0.0388426 0.999245i \(-0.512367\pi\)
0.845951 + 0.533261i \(0.179034\pi\)
\(62\) −4.58444 7.94048i −0.582224 1.00844i
\(63\) −4.12354 2.22803i −0.519517 0.280706i
\(64\) 12.8772i 1.60964i
\(65\) 9.24179 + 5.84425i 1.14630 + 0.724891i
\(66\) −1.55358 + 0.896960i −0.191233 + 0.110408i
\(67\) −6.27534 + 1.68147i −0.766655 + 0.205424i −0.620893 0.783895i \(-0.713230\pi\)
−0.145762 + 0.989320i \(0.546563\pi\)
\(68\) 9.45827i 1.14698i
\(69\) −3.30711 + 5.72808i −0.398129 + 0.689580i
\(70\) 0.501828 + 17.7793i 0.0599800 + 2.12503i
\(71\) −8.06938 + 2.16218i −0.957659 + 0.256604i −0.703609 0.710587i \(-0.748429\pi\)
−0.254050 + 0.967191i \(0.581763\pi\)
\(72\) −3.46586 0.928673i −0.408455 0.109445i
\(73\) 1.62921 6.08031i 0.190685 0.711646i −0.802657 0.596441i \(-0.796581\pi\)
0.993342 0.115205i \(-0.0367525\pi\)
\(74\) 21.8590 2.54106
\(75\) −4.65227 −0.537198
\(76\) −3.01323 + 11.2455i −0.345641 + 1.28995i
\(77\) −1.40398 1.32690i −0.159998 0.151214i
\(78\) 7.48713 + 4.73465i 0.847751 + 0.536094i
\(79\) 7.87501 13.6399i 0.886008 1.53461i 0.0414546 0.999140i \(-0.486801\pi\)
0.844554 0.535471i \(-0.179866\pi\)
\(80\) −1.04995 3.91846i −0.117388 0.438097i
\(81\) 0.273613 0.473911i 0.0304014 0.0526568i
\(82\) −2.82718 4.89682i −0.312210 0.540763i
\(83\) 10.4223 10.4223i 1.14399 1.14399i 0.156277 0.987713i \(-0.450051\pi\)
0.987713 0.156277i \(-0.0499494\pi\)
\(84\) 0.241075 + 8.54105i 0.0263035 + 0.931905i
\(85\) −2.54795 9.50909i −0.276364 1.03141i
\(86\) 3.79606 + 14.1671i 0.409339 + 1.52768i
\(87\) 6.16463i 0.660918i
\(88\) −1.28075 0.739443i −0.136529 0.0788249i
\(89\) −6.62546 6.62546i −0.702297 0.702297i 0.262606 0.964903i \(-0.415418\pi\)
−0.964903 + 0.262606i \(0.915418\pi\)
\(90\) 11.9092 1.25534
\(91\) −2.57998 + 9.18388i −0.270455 + 0.962733i
\(92\) −17.3877 −1.81279
\(93\) 3.24176 + 3.24176i 0.336155 + 0.336155i
\(94\) 3.36890 + 1.94504i 0.347476 + 0.200615i
\(95\) 12.1177i 1.24324i
\(96\) −2.01268 7.51143i −0.205418 0.766632i
\(97\) 2.37570 + 8.86623i 0.241216 + 0.900230i 0.975248 + 0.221115i \(0.0709695\pi\)
−0.734032 + 0.679115i \(0.762364\pi\)
\(98\) −14.7377 + 4.85508i −1.48874 + 0.490438i
\(99\) −0.914619 + 0.914619i −0.0919227 + 0.0919227i
\(100\) −6.11503 10.5915i −0.611503 1.05915i
\(101\) −6.10920 + 10.5814i −0.607888 + 1.05289i 0.383700 + 0.923458i \(0.374650\pi\)
−0.991588 + 0.129435i \(0.958684\pi\)
\(102\) −2.06419 7.70367i −0.204386 0.762777i
\(103\) 0.347680 0.602200i 0.0342580 0.0593366i −0.848388 0.529375i \(-0.822427\pi\)
0.882646 + 0.470038i \(0.155760\pi\)
\(104\) −0.294113 + 7.29697i −0.0288401 + 0.715526i
\(105\) −2.54323 8.52199i −0.248194 0.831661i
\(106\) 3.86773 14.4346i 0.375667 1.40201i
\(107\) −13.7976 −1.33386 −0.666930 0.745120i \(-0.732392\pi\)
−0.666930 + 0.745120i \(0.732392\pi\)
\(108\) 15.4096 1.48279
\(109\) −3.39308 + 12.6631i −0.324998 + 1.21291i 0.589316 + 0.807903i \(0.299397\pi\)
−0.914314 + 0.405006i \(0.867269\pi\)
\(110\) 4.74126 + 1.27042i 0.452061 + 0.121129i
\(111\) −10.5574 + 2.82883i −1.00206 + 0.268501i
\(112\) 3.01377 1.85530i 0.284775 0.175310i
\(113\) −5.92811 + 10.2678i −0.557670 + 0.965912i 0.440021 + 0.897988i \(0.354971\pi\)
−0.997690 + 0.0679248i \(0.978362\pi\)
\(114\) 9.81697i 0.919444i
\(115\) 17.4811 4.68405i 1.63012 0.436790i
\(116\) −14.0346 + 8.10290i −1.30308 + 0.752335i
\(117\) 6.09804 + 1.90028i 0.563764 + 0.175681i
\(118\) 7.30907i 0.672855i
\(119\) 7.31364 4.50234i 0.670441 0.412728i
\(120\) −3.40417 5.89620i −0.310757 0.538247i
\(121\) 9.06459 5.23344i 0.824053 0.475767i
\(122\) −15.5853 4.17607i −1.41103 0.378084i
\(123\) 1.99917 + 1.99917i 0.180259 + 0.180259i
\(124\) −3.11929 + 11.6414i −0.280121 + 1.04542i
\(125\) −1.72116 1.72116i −0.153945 0.153945i
\(126\) 2.97110 + 9.95570i 0.264686 + 0.886925i
\(127\) −3.91434 + 2.25995i −0.347342 + 0.200538i −0.663514 0.748164i \(-0.730936\pi\)
0.316172 + 0.948702i \(0.397602\pi\)
\(128\) 10.2620 10.2620i 0.907038 0.907038i
\(129\) −3.66680 6.35108i −0.322843 0.559181i
\(130\) −5.32544 23.6465i −0.467072 2.07393i
\(131\) 10.9818 + 6.34037i 0.959488 + 0.553960i 0.896015 0.444023i \(-0.146449\pi\)
0.0634723 + 0.997984i \(0.479783\pi\)
\(132\) 2.27767 + 0.610299i 0.198246 + 0.0531197i
\(133\) 10.1300 3.02311i 0.878381 0.262137i
\(134\) 12.4718 + 7.20061i 1.07740 + 0.622038i
\(135\) −15.4924 + 4.15117i −1.33337 + 0.357276i
\(136\) 4.64912 4.64912i 0.398659 0.398659i
\(137\) −7.16928 + 7.16928i −0.612513 + 0.612513i −0.943600 0.331087i \(-0.892585\pi\)
0.331087 + 0.943600i \(0.392585\pi\)
\(138\) 14.1621 3.79473i 1.20556 0.323029i
\(139\) 0.0630104 + 0.0363791i 0.00534447 + 0.00308563i 0.502670 0.864478i \(-0.332351\pi\)
−0.497325 + 0.867564i \(0.665684\pi\)
\(140\) 16.0586 16.9915i 1.35720 1.43604i
\(141\) −1.87881 0.503424i −0.158224 0.0423960i
\(142\) 16.0374 + 9.25917i 1.34582 + 0.777012i
\(143\) 2.22503 + 1.40705i 0.186066 + 0.117663i
\(144\) −1.18482 2.05217i −0.0987351 0.171014i
\(145\) 11.9272 11.9272i 0.990500 0.990500i
\(146\) −12.0842 + 6.97682i −1.00010 + 0.577406i
\(147\) 6.48964 4.25213i 0.535256 0.350710i
\(148\) −20.3170 20.3170i −1.67005 1.67005i
\(149\) −0.322028 + 1.20183i −0.0263816 + 0.0984574i −0.977861 0.209254i \(-0.932896\pi\)
0.951480 + 0.307711i \(0.0995631\pi\)
\(150\) 7.29216 + 7.29216i 0.595402 + 0.595402i
\(151\) −0.716844 0.192078i −0.0583359 0.0156311i 0.229533 0.973301i \(-0.426280\pi\)
−0.287869 + 0.957670i \(0.592947\pi\)
\(152\) 7.00874 4.04650i 0.568484 0.328214i
\(153\) −2.87525 4.98009i −0.232450 0.402616i
\(154\) 0.120819 + 4.28049i 0.00973586 + 0.344932i
\(155\) 12.5442i 1.00757i
\(156\) −2.55831 11.3596i −0.204828 0.909496i
\(157\) −7.82322 + 4.51674i −0.624361 + 0.360475i −0.778565 0.627564i \(-0.784052\pi\)
0.154204 + 0.988039i \(0.450719\pi\)
\(158\) −33.7233 + 9.03614i −2.68289 + 0.718877i
\(159\) 7.47205i 0.592572i
\(160\) −10.6389 + 18.4271i −0.841076 + 1.45679i
\(161\) 8.27690 + 13.4451i 0.652311 + 1.05962i
\(162\) −1.17170 + 0.313955i −0.0920572 + 0.0246667i
\(163\) −2.20381 0.590509i −0.172616 0.0462523i 0.171476 0.985188i \(-0.445146\pi\)
−0.344092 + 0.938936i \(0.611813\pi\)
\(164\) −1.92364 + 7.17912i −0.150211 + 0.560595i
\(165\) −2.45431 −0.191068
\(166\) −32.6725 −2.53588
\(167\) −0.729973 + 2.72430i −0.0564870 + 0.210812i −0.988401 0.151867i \(-0.951471\pi\)
0.931914 + 0.362680i \(0.118138\pi\)
\(168\) 4.07977 4.31677i 0.314761 0.333046i
\(169\) 1.04626 12.9578i 0.0804816 0.996756i
\(170\) −10.9112 + 18.8987i −0.836847 + 1.44946i
\(171\) −1.83200 6.83712i −0.140097 0.522848i
\(172\) 9.63940 16.6959i 0.734998 1.27305i
\(173\) −2.31972 4.01787i −0.176365 0.305473i 0.764268 0.644899i \(-0.223101\pi\)
−0.940633 + 0.339426i \(0.889767\pi\)
\(174\) 9.66268 9.66268i 0.732526 0.732526i
\(175\) −5.27907 + 9.77027i −0.399060 + 0.738563i
\(176\) −0.252783 0.943397i −0.0190542 0.0711113i
\(177\) −0.945886 3.53010i −0.0710972 0.265338i
\(178\) 20.7700i 1.55678i
\(179\) 12.1991 + 7.04316i 0.911804 + 0.526430i 0.881011 0.473096i \(-0.156863\pi\)
0.0307928 + 0.999526i \(0.490197\pi\)
\(180\) −11.0690 11.0690i −0.825038 0.825038i
\(181\) −19.3214 −1.43615 −0.718075 0.695966i \(-0.754976\pi\)
−0.718075 + 0.695966i \(0.754976\pi\)
\(182\) 18.4391 10.3512i 1.36680 0.767283i
\(183\) 8.06774 0.596384
\(184\) 8.54675 + 8.54675i 0.630075 + 0.630075i
\(185\) 25.8993 + 14.9530i 1.90416 + 1.09936i
\(186\) 10.1625i 0.745153i
\(187\) −0.613438 2.28938i −0.0448590 0.167416i
\(188\) −1.32342 4.93907i −0.0965203 0.360219i
\(189\) −7.33528 11.9155i −0.533563 0.866726i
\(190\) −18.9937 + 18.9937i −1.37795 + 1.37795i
\(191\) −3.84651 6.66236i −0.278324 0.482071i 0.692644 0.721279i \(-0.256446\pi\)
−0.970968 + 0.239208i \(0.923112\pi\)
\(192\) −7.13635 + 12.3605i −0.515021 + 0.892043i
\(193\) 2.07797 + 7.75507i 0.149575 + 0.558222i 0.999509 + 0.0313328i \(0.00997516\pi\)
−0.849934 + 0.526889i \(0.823358\pi\)
\(194\) 10.1735 17.6210i 0.730416 1.26512i
\(195\) 5.63220 + 10.7315i 0.403330 + 0.768495i
\(196\) 18.2107 + 9.18549i 1.30076 + 0.656106i
\(197\) −1.52597 + 5.69500i −0.108721 + 0.405752i −0.998741 0.0501699i \(-0.984024\pi\)
0.890020 + 0.455922i \(0.150690\pi\)
\(198\) 2.86722 0.203764
\(199\) 8.74035 0.619587 0.309794 0.950804i \(-0.399740\pi\)
0.309794 + 0.950804i \(0.399740\pi\)
\(200\) −2.20039 + 8.21195i −0.155591 + 0.580673i
\(201\) −6.95542 1.86370i −0.490597 0.131455i
\(202\) 26.1616 7.00997i 1.84072 0.493220i
\(203\) 12.9464 + 6.99518i 0.908657 + 0.490965i
\(204\) −5.24165 + 9.07880i −0.366989 + 0.635643i
\(205\) 7.73589i 0.540298i
\(206\) −1.48888 + 0.398944i −0.103735 + 0.0277958i
\(207\) 9.15518 5.28575i 0.636329 0.367385i
\(208\) −3.54491 + 3.27021i −0.245795 + 0.226749i
\(209\) 2.91741i 0.201802i
\(210\) −9.37134 + 17.3441i −0.646684 + 1.19685i
\(211\) −10.0859 17.4692i −0.694340 1.20263i −0.970403 0.241492i \(-0.922363\pi\)
0.276063 0.961140i \(-0.410970\pi\)
\(212\) −17.0112 + 9.82140i −1.16833 + 0.674536i
\(213\) −8.94388 2.39651i −0.612825 0.164206i
\(214\) 21.6268 + 21.6268i 1.47838 + 1.47838i
\(215\) −5.19349 + 19.3824i −0.354193 + 1.32187i
\(216\) −7.57443 7.57443i −0.515375 0.515375i
\(217\) 10.4866 3.12952i 0.711875 0.212446i
\(218\) 25.1671 14.5303i 1.70453 0.984113i
\(219\) 4.93347 4.93347i 0.333373 0.333373i
\(220\) −3.22599 5.58758i −0.217496 0.376715i
\(221\) −8.60257 + 7.93596i −0.578671 + 0.533831i
\(222\) 20.9820 + 12.1140i 1.40822 + 0.813037i
\(223\) 12.7683 + 3.42126i 0.855031 + 0.229105i 0.659604 0.751613i \(-0.270724\pi\)
0.195427 + 0.980718i \(0.437391\pi\)
\(224\) −18.0586 4.29659i −1.20659 0.287078i
\(225\) 6.43952 + 3.71786i 0.429301 + 0.247857i
\(226\) 25.3861 6.80218i 1.68866 0.452474i
\(227\) 5.38732 5.38732i 0.357569 0.357569i −0.505347 0.862916i \(-0.668636\pi\)
0.862916 + 0.505347i \(0.168636\pi\)
\(228\) −9.12444 + 9.12444i −0.604281 + 0.604281i
\(229\) −28.2478 + 7.56897i −1.86667 + 0.500171i −0.866666 + 0.498889i \(0.833742\pi\)
−0.999999 + 0.00128230i \(0.999592\pi\)
\(230\) −34.7425 20.0586i −2.29085 1.32263i
\(231\) −0.612301 2.05173i −0.0402865 0.134994i
\(232\) 10.8815 + 2.91568i 0.714404 + 0.191424i
\(233\) −0.786647 0.454171i −0.0515350 0.0297537i 0.474011 0.880519i \(-0.342806\pi\)
−0.525546 + 0.850765i \(0.676139\pi\)
\(234\) −6.57974 12.5369i −0.430131 0.819562i
\(235\) 2.66106 + 4.60909i 0.173588 + 0.300664i
\(236\) 6.79346 6.79346i 0.442216 0.442216i
\(237\) 15.1181 8.72845i 0.982027 0.566974i
\(238\) −18.5208 4.40655i −1.20053 0.285635i
\(239\) 7.05491 + 7.05491i 0.456344 + 0.456344i 0.897453 0.441109i \(-0.145415\pi\)
−0.441109 + 0.897453i \(0.645415\pi\)
\(240\) 1.16373 4.34311i 0.0751187 0.280347i
\(241\) 5.10472 + 5.10472i 0.328824 + 0.328824i 0.852139 0.523315i \(-0.175305\pi\)
−0.523315 + 0.852139i \(0.675305\pi\)
\(242\) −22.4113 6.00509i −1.44065 0.386021i
\(243\) −13.2149 + 7.62965i −0.847739 + 0.489442i
\(244\) 10.6044 + 18.3673i 0.678876 + 1.17585i
\(245\) −20.7830 4.32909i −1.32777 0.276575i
\(246\) 6.26714i 0.399578i
\(247\) −12.7564 + 6.69493i −0.811667 + 0.425988i
\(248\) 7.25545 4.18894i 0.460722 0.265998i
\(249\) 15.7800 4.22823i 1.00001 0.267953i
\(250\) 5.39563i 0.341249i
\(251\) −2.92724 + 5.07013i −0.184766 + 0.320023i −0.943498 0.331380i \(-0.892486\pi\)
0.758732 + 0.651403i \(0.225819\pi\)
\(252\) 6.49188 12.0149i 0.408950 0.756867i
\(253\) 4.20870 1.12772i 0.264599 0.0708990i
\(254\) 9.67782 + 2.59316i 0.607240 + 0.162710i
\(255\) 2.82408 10.5396i 0.176851 0.660016i
\(256\) −6.41568 −0.400980
\(257\) 15.9760 0.996558 0.498279 0.867017i \(-0.333966\pi\)
0.498279 + 0.867017i \(0.333966\pi\)
\(258\) −4.20745 + 15.7024i −0.261944 + 0.977589i
\(259\) −6.03888 + 25.3815i −0.375238 + 1.57713i
\(260\) −17.0286 + 26.9281i −1.05607 + 1.67001i
\(261\) 4.92646 8.53287i 0.304940 0.528171i
\(262\) −7.27522 27.1515i −0.449465 1.67743i
\(263\) 12.0727 20.9106i 0.744437 1.28940i −0.206020 0.978548i \(-0.566051\pi\)
0.950457 0.310856i \(-0.100616\pi\)
\(264\) −0.819579 1.41955i −0.0504416 0.0873674i
\(265\) 14.4568 14.4568i 0.888073 0.888073i
\(266\) −20.6167 11.1396i −1.26409 0.683013i
\(267\) −2.68790 10.0314i −0.164497 0.613910i
\(268\) −4.89935 18.2846i −0.299276 1.11691i
\(269\) 29.4878i 1.79790i −0.438047 0.898952i \(-0.644330\pi\)
0.438047 0.898952i \(-0.355670\pi\)
\(270\) 30.7900 + 17.7766i 1.87382 + 1.08185i
\(271\) 0.604773 + 0.604773i 0.0367374 + 0.0367374i 0.725237 0.688499i \(-0.241730\pi\)
−0.688499 + 0.725237i \(0.741730\pi\)
\(272\) 4.34212 0.263280
\(273\) −7.56605 + 7.38563i −0.457918 + 0.446999i
\(274\) 22.4748 1.35775
\(275\) 2.16709 + 2.16709i 0.130680 + 0.130680i
\(276\) −16.6901 9.63602i −1.00462 0.580020i
\(277\) 14.2038i 0.853426i −0.904387 0.426713i \(-0.859671\pi\)
0.904387 0.426713i \(-0.140329\pi\)
\(278\) −0.0417430 0.155787i −0.00250358 0.00934348i
\(279\) −1.89649 7.07779i −0.113540 0.423736i
\(280\) −16.2454 + 0.458535i −0.970851 + 0.0274027i
\(281\) 1.82178 1.82178i 0.108679 0.108679i −0.650676 0.759355i \(-0.725515\pi\)
0.759355 + 0.650676i \(0.225515\pi\)
\(282\) 2.15583 + 3.73400i 0.128378 + 0.222356i
\(283\) −9.55836 + 16.5556i −0.568185 + 0.984126i 0.428560 + 0.903513i \(0.359021\pi\)
−0.996746 + 0.0806125i \(0.974312\pi\)
\(284\) −6.30002 23.5120i −0.373837 1.39518i
\(285\) 6.71544 11.6315i 0.397788 0.688989i
\(286\) −1.28214 5.69306i −0.0758144 0.336637i
\(287\) 6.46697 1.92995i 0.381733 0.113921i
\(288\) −3.21686 + 12.0055i −0.189555 + 0.707431i
\(289\) −6.46280 −0.380165
\(290\) −37.3903 −2.19563
\(291\) −2.63316 + 9.82709i −0.154359 + 0.576074i
\(292\) 17.7164 + 4.74709i 1.03677 + 0.277802i
\(293\) 0.0611926 0.0163965i 0.00357491 0.000957894i −0.257031 0.966403i \(-0.582744\pi\)
0.260606 + 0.965445i \(0.416078\pi\)
\(294\) −16.8371 3.50716i −0.981958 0.204542i
\(295\) −4.99987 + 8.66004i −0.291104 + 0.504207i
\(296\) 19.9732i 1.16092i
\(297\) −3.72990 + 0.999424i −0.216431 + 0.0579924i
\(298\) 2.38855 1.37903i 0.138365 0.0798850i
\(299\) −14.5891 15.8146i −0.843712 0.914582i
\(300\) 13.5555i 0.782625i
\(301\) −17.4988 + 0.493911i −1.00861 + 0.0284685i
\(302\) 0.822539 + 1.42468i 0.0473318 + 0.0819810i
\(303\) −11.7282 + 6.77127i −0.673766 + 0.388999i
\(304\) 5.16261 + 1.38332i 0.296096 + 0.0793387i
\(305\) −15.6093 15.6093i −0.893785 0.893785i
\(306\) −3.29920 + 12.3128i −0.188602 + 0.703874i
\(307\) −4.12063 4.12063i −0.235177 0.235177i 0.579673 0.814849i \(-0.303180\pi\)
−0.814849 + 0.579673i \(0.803180\pi\)
\(308\) 3.86623 4.09082i 0.220299 0.233096i
\(309\) 0.667462 0.385360i 0.0379706 0.0219223i
\(310\) −19.6623 + 19.6623i −1.11674 + 1.11674i
\(311\) 2.60731 + 4.51600i 0.147847 + 0.256079i 0.930432 0.366466i \(-0.119432\pi\)
−0.782584 + 0.622544i \(0.786099\pi\)
\(312\) −4.32619 + 6.84121i −0.244922 + 0.387307i
\(313\) −14.7297 8.50419i −0.832571 0.480685i 0.0221612 0.999754i \(-0.492945\pi\)
−0.854732 + 0.519069i \(0.826279\pi\)
\(314\) 19.3421 + 5.18271i 1.09154 + 0.292477i
\(315\) −3.29008 + 13.8283i −0.185375 + 0.779135i
\(316\) 39.7430 + 22.9457i 2.23572 + 1.29079i
\(317\) 3.82263 1.02427i 0.214700 0.0575288i −0.149866 0.988706i \(-0.547884\pi\)
0.364566 + 0.931178i \(0.381217\pi\)
\(318\) 11.7120 11.7120i 0.656776 0.656776i
\(319\) 2.87156 2.87156i 0.160776 0.160776i
\(320\) 37.7221 10.1076i 2.10873 0.565033i
\(321\) −13.2440 7.64642i −0.739208 0.426782i
\(322\) 8.10083 34.0479i 0.451441 1.89742i
\(323\) 12.5283 + 3.35695i 0.697094 + 0.186786i
\(324\) 1.38085 + 0.797233i 0.0767138 + 0.0442907i
\(325\) 4.50249 14.4486i 0.249753 0.801465i
\(326\) 2.52875 + 4.37993i 0.140055 + 0.242582i
\(327\) −10.2747 + 10.2747i −0.568191 + 0.568191i
\(328\) 4.47437 2.58328i 0.247056 0.142638i
\(329\) −3.18918 + 3.37444i −0.175825 + 0.186039i
\(330\) 3.84698 + 3.84698i 0.211770 + 0.211770i
\(331\) −3.47024 + 12.9511i −0.190742 + 0.711858i 0.802586 + 0.596536i \(0.203457\pi\)
−0.993328 + 0.115322i \(0.963210\pi\)
\(332\) 30.3676 + 30.3676i 1.66664 + 1.66664i
\(333\) 16.8738 + 4.52132i 0.924678 + 0.247767i
\(334\) 5.41436 3.12598i 0.296260 0.171046i
\(335\) 9.85135 + 17.0630i 0.538237 + 0.932253i
\(336\) 3.92104 0.110673i 0.213910 0.00603772i
\(337\) 15.2503i 0.830737i 0.909653 + 0.415368i \(0.136347\pi\)
−0.909653 + 0.415368i \(0.863653\pi\)
\(338\) −21.9506 + 18.6707i −1.19395 + 1.01555i
\(339\) −11.3805 + 6.57056i −0.618106 + 0.356864i
\(340\) 27.7069 7.42404i 1.50262 0.402625i
\(341\) 3.02011i 0.163548i
\(342\) −7.84522 + 13.5883i −0.424221 + 0.734772i
\(343\) −1.56594 18.4539i −0.0845529 0.996419i
\(344\) −12.9449 + 3.46857i −0.697941 + 0.187013i
\(345\) 19.3756 + 5.19167i 1.04315 + 0.279510i
\(346\) −2.66175 + 9.93378i −0.143096 + 0.534043i
\(347\) 9.79224 0.525675 0.262838 0.964840i \(-0.415342\pi\)
0.262838 + 0.964840i \(0.415342\pi\)
\(348\) −17.9621 −0.962867
\(349\) −1.16556 + 4.34994i −0.0623911 + 0.232847i −0.990079 0.140509i \(-0.955126\pi\)
0.927688 + 0.373356i \(0.121793\pi\)
\(350\) 23.5889 7.03968i 1.26088 0.376287i
\(351\) 12.9294 + 14.0155i 0.690121 + 0.748089i
\(352\) −2.56138 + 4.43645i −0.136522 + 0.236463i
\(353\) 4.38567 + 16.3675i 0.233425 + 0.871156i 0.978852 + 0.204568i \(0.0655790\pi\)
−0.745427 + 0.666587i \(0.767754\pi\)
\(354\) −4.05059 + 7.01583i −0.215286 + 0.372887i
\(355\) 12.6677 + 21.9412i 0.672333 + 1.16452i
\(356\) 19.3048 19.3048i 1.02315 1.02315i
\(357\) 9.51535 0.268575i 0.503606 0.0142145i
\(358\) −8.08163 30.1611i −0.427128 1.59406i
\(359\) −4.12643 15.4000i −0.217784 0.812782i −0.985168 0.171594i \(-0.945108\pi\)
0.767383 0.641189i \(-0.221558\pi\)
\(360\) 10.8818i 0.573519i
\(361\) −2.62828 1.51744i −0.138330 0.0798651i
\(362\) 30.2851 + 30.2851i 1.59175 + 1.59175i
\(363\) 11.6012 0.608906
\(364\) −26.7594 7.51736i −1.40257 0.394017i
\(365\) −19.0904 −0.999235
\(366\) −12.6457 12.6457i −0.661001 0.661001i
\(367\) −20.7903 12.0033i −1.08524 0.626565i −0.152937 0.988236i \(-0.548873\pi\)
−0.932306 + 0.361671i \(0.882207\pi\)
\(368\) 7.98237i 0.416110i
\(369\) −1.16955 4.36481i −0.0608842 0.227223i
\(370\) −17.1577 64.0335i −0.891987 3.32894i
\(371\) 15.6921 + 8.47875i 0.814693 + 0.440195i
\(372\) −9.44563 + 9.44563i −0.489733 + 0.489733i
\(373\) 7.17404 + 12.4258i 0.371458 + 0.643384i 0.989790 0.142533i \(-0.0455247\pi\)
−0.618332 + 0.785917i \(0.712191\pi\)
\(374\) −2.62694 + 4.54999i −0.135836 + 0.235274i
\(375\) −0.698262 2.60595i −0.0360581 0.134571i
\(376\) −1.77724 + 3.07826i −0.0916540 + 0.158749i
\(377\) −19.1456 5.96616i −0.986047 0.307273i
\(378\) −7.17924 + 30.1745i −0.369260 + 1.55201i
\(379\) −2.18843 + 8.16732i −0.112412 + 0.419527i −0.999080 0.0428788i \(-0.986347\pi\)
0.886668 + 0.462406i \(0.153014\pi\)
\(380\) 35.3076 1.81124
\(381\) −5.00973 −0.256656
\(382\) −4.41366 + 16.4720i −0.225823 + 0.842781i
\(383\) 18.9731 + 5.08381i 0.969478 + 0.259771i 0.708607 0.705603i \(-0.249324\pi\)
0.260870 + 0.965374i \(0.415990\pi\)
\(384\) 15.5373 4.16320i 0.792884 0.212453i
\(385\) −2.78498 + 5.15431i −0.141936 + 0.262688i
\(386\) 8.89852 15.4127i 0.452923 0.784485i
\(387\) 11.7213i 0.595825i
\(388\) −25.8338 + 6.92215i −1.31151 + 0.351419i
\(389\) −4.88185 + 2.81854i −0.247520 + 0.142906i −0.618628 0.785684i \(-0.712311\pi\)
0.371108 + 0.928590i \(0.378978\pi\)
\(390\) 7.99277 25.6490i 0.404730 1.29879i
\(391\) 19.3712i 0.979641i
\(392\) −4.43623 13.4663i −0.224064 0.680151i
\(393\) 7.02749 + 12.1720i 0.354490 + 0.613995i
\(394\) 11.3184 6.53470i 0.570214 0.329213i
\(395\) −46.1379 12.3626i −2.32145 0.622030i
\(396\) −2.66495 2.66495i −0.133919 0.133919i
\(397\) −3.51692 + 13.1253i −0.176509 + 0.658740i 0.819781 + 0.572678i \(0.194095\pi\)
−0.996290 + 0.0860629i \(0.972571\pi\)
\(398\) −13.7000 13.7000i −0.686717 0.686717i
\(399\) 11.3989 + 2.71208i 0.570660 + 0.135774i
\(400\) −4.86238 + 2.80730i −0.243119 + 0.140365i
\(401\) 5.57129 5.57129i 0.278217 0.278217i −0.554180 0.832397i \(-0.686968\pi\)
0.832397 + 0.554180i \(0.186968\pi\)
\(402\) 7.98096 + 13.8234i 0.398054 + 0.689450i
\(403\) −13.2054 + 6.93059i −0.657807 + 0.345237i
\(404\) −30.8315 17.8005i −1.53392 0.885610i
\(405\) −1.60303 0.429531i −0.0796553 0.0213436i
\(406\) −9.32813 31.2572i −0.462947 1.55127i
\(407\) 6.23545 + 3.60004i 0.309080 + 0.178447i
\(408\) 7.03907 1.88611i 0.348486 0.0933766i
\(409\) 2.68114 2.68114i 0.132574 0.132574i −0.637706 0.770280i \(-0.720117\pi\)
0.770280 + 0.637706i \(0.220117\pi\)
\(410\) −12.1255 + 12.1255i −0.598838 + 0.598838i
\(411\) −10.8548 + 2.90852i −0.535426 + 0.143467i
\(412\) 1.75465 + 1.01305i 0.0864453 + 0.0499092i
\(413\) −8.48689 2.01924i −0.417613 0.0993602i
\(414\) −22.6353 6.06510i −1.11246 0.298084i
\(415\) −38.7115 22.3501i −1.90027 1.09712i
\(416\) 25.2762 + 1.01879i 1.23927 + 0.0499502i
\(417\) 0.0403216 + 0.0698390i 0.00197456 + 0.00342003i
\(418\) −4.57287 + 4.57287i −0.223666 + 0.223666i
\(419\) −3.07221 + 1.77374i −0.150087 + 0.0866528i −0.573163 0.819441i \(-0.694284\pi\)
0.423076 + 0.906094i \(0.360950\pi\)
\(420\) 24.8308 7.41029i 1.21162 0.361585i
\(421\) −21.1170 21.1170i −1.02918 1.02918i −0.999561 0.0296199i \(-0.990570\pi\)
−0.0296199 0.999561i \(-0.509430\pi\)
\(422\) −11.5730 + 43.1910i −0.563364 + 2.10250i
\(423\) 2.19827 + 2.19827i 0.106883 + 0.106883i
\(424\) 13.1893 + 3.53406i 0.640528 + 0.171629i
\(425\) −11.7997 + 6.81259i −0.572372 + 0.330459i
\(426\) 10.2626 + 17.7754i 0.497225 + 0.861219i
\(427\) 9.15469 16.9431i 0.443027 0.819934i
\(428\) 40.2024i 1.94325i
\(429\) 1.35599 + 2.58368i 0.0654679 + 0.124741i
\(430\) 38.5212 22.2402i 1.85766 1.07252i
\(431\) 15.5793 4.17446i 0.750428 0.201077i 0.136720 0.990610i \(-0.456344\pi\)
0.613708 + 0.789533i \(0.289677\pi\)
\(432\) 7.07426i 0.340360i
\(433\) 14.9794 25.9452i 0.719866 1.24684i −0.241186 0.970479i \(-0.577537\pi\)
0.961052 0.276366i \(-0.0891302\pi\)
\(434\) −21.3424 11.5317i −1.02447 0.553540i
\(435\) 18.0586 4.83878i 0.865842 0.232002i
\(436\) −36.8970 9.88651i −1.76704 0.473478i
\(437\) −6.17128 + 23.0315i −0.295212 + 1.10175i
\(438\) −15.4658 −0.738986
\(439\) 4.51920 0.215690 0.107845 0.994168i \(-0.465605\pi\)
0.107845 + 0.994168i \(0.465605\pi\)
\(440\) −1.16082 + 4.33222i −0.0553397 + 0.206531i
\(441\) −12.3808 + 0.699467i −0.589563 + 0.0333079i
\(442\) 25.9231 + 1.04486i 1.23304 + 0.0496990i
\(443\) 16.8631 29.2078i 0.801191 1.38770i −0.117641 0.993056i \(-0.537533\pi\)
0.918833 0.394648i \(-0.129133\pi\)
\(444\) −8.24246 30.7613i −0.391170 1.45987i
\(445\) −14.2080 + 24.6090i −0.673524 + 1.16658i
\(446\) −14.6510 25.3762i −0.693743 1.20160i
\(447\) −0.975144 + 0.975144i −0.0461227 + 0.0461227i
\(448\) 17.8606 + 29.0129i 0.843832 + 1.37073i
\(449\) −0.999901 3.73168i −0.0471882 0.176109i 0.938310 0.345796i \(-0.112391\pi\)
−0.985498 + 0.169687i \(0.945724\pi\)
\(450\) −4.26604 15.9211i −0.201103 0.750527i
\(451\) 1.86247i 0.0877004i
\(452\) −29.9176 17.2729i −1.40720 0.812449i
\(453\) −0.581636 0.581636i −0.0273277 0.0273277i
\(454\) −16.8886 −0.792620
\(455\) 28.9282 + 0.349075i 1.35617 + 0.0163649i
\(456\) 8.97006 0.420061
\(457\) 0.367380 + 0.367380i 0.0171853 + 0.0171853i 0.715647 0.698462i \(-0.246132\pi\)
−0.698462 + 0.715647i \(0.746132\pi\)
\(458\) 56.1405 + 32.4128i 2.62328 + 1.51455i
\(459\) 17.1674i 0.801305i
\(460\) 13.6480 + 50.9352i 0.636343 + 2.37487i
\(461\) 7.57790 + 28.2811i 0.352938 + 1.31718i 0.883060 + 0.469261i \(0.155480\pi\)
−0.530122 + 0.847922i \(0.677854\pi\)
\(462\) −2.25622 + 4.17571i −0.104969 + 0.194272i
\(463\) 15.0661 15.0661i 0.700181 0.700181i −0.264268 0.964449i \(-0.585130\pi\)
0.964449 + 0.264268i \(0.0851303\pi\)
\(464\) 3.71989 + 6.44304i 0.172692 + 0.299111i
\(465\) 6.95182 12.0409i 0.322383 0.558384i
\(466\) 0.521136 + 1.94491i 0.0241412 + 0.0900961i
\(467\) 2.14169 3.70951i 0.0991054 0.171656i −0.812209 0.583366i \(-0.801735\pi\)
0.911315 + 0.411711i \(0.135069\pi\)
\(468\) −5.53690 + 17.7681i −0.255943 + 0.821328i
\(469\) −11.8065 + 12.4923i −0.545172 + 0.576841i
\(470\) 3.05342 11.3955i 0.140844 0.525636i
\(471\) −10.0125 −0.461350
\(472\) −6.67851 −0.307404
\(473\) −1.25037 + 4.66645i −0.0574921 + 0.214564i
\(474\) −37.3780 10.0154i −1.71683 0.460023i
\(475\) −16.1998 + 4.34072i −0.743297 + 0.199166i
\(476\) 13.1186 + 21.3100i 0.601289 + 0.976741i
\(477\) 5.97128 10.3426i 0.273406 0.473553i
\(478\) 22.1163i 1.01158i
\(479\) 10.8652 2.91131i 0.496442 0.133021i −0.00190599 0.999998i \(-0.500607\pi\)
0.498348 + 0.866977i \(0.333940\pi\)
\(480\) −20.4240 + 11.7918i −0.932226 + 0.538221i
\(481\) 1.43191 35.5259i 0.0652895 1.61984i
\(482\) 16.0027i 0.728902i
\(483\) 0.493737 + 17.4926i 0.0224658 + 0.795942i
\(484\) 15.2488 + 26.4117i 0.693129 + 1.20053i
\(485\) 24.1078 13.9187i 1.09468 0.632014i
\(486\) 32.6726 + 8.75461i 1.48206 + 0.397117i
\(487\) 4.97171 + 4.97171i 0.225290 + 0.225290i 0.810722 0.585432i \(-0.199075\pi\)
−0.585432 + 0.810722i \(0.699075\pi\)
\(488\) 3.81580 14.2407i 0.172733 0.644648i
\(489\) −1.78814 1.78814i −0.0808625 0.0808625i
\(490\) 25.7904 + 39.3616i 1.16509 + 1.77818i
\(491\) −0.343800 + 0.198493i −0.0155155 + 0.00895787i −0.507738 0.861512i \(-0.669518\pi\)
0.492222 + 0.870470i \(0.336185\pi\)
\(492\) −5.82503 + 5.82503i −0.262613 + 0.262613i
\(493\) 9.02721 + 15.6356i 0.406565 + 0.704192i
\(494\) 30.4887 + 9.50091i 1.37175 + 0.427466i
\(495\) 3.39718 + 1.96136i 0.152692 + 0.0881566i
\(496\) 5.34434 + 1.43201i 0.239968 + 0.0642992i
\(497\) −15.1818 + 16.0637i −0.680997 + 0.720556i
\(498\) −31.3616 18.1066i −1.40535 0.811378i
\(499\) 1.91022 0.511843i 0.0855133 0.0229132i −0.215809 0.976436i \(-0.569239\pi\)
0.301322 + 0.953522i \(0.402572\pi\)
\(500\) 5.01500 5.01500i 0.224277 0.224277i
\(501\) −2.21045 + 2.21045i −0.0987558 + 0.0987558i
\(502\) 12.5354 3.35884i 0.559481 0.149913i
\(503\) −4.35557 2.51469i −0.194205 0.112124i 0.399745 0.916627i \(-0.369099\pi\)
−0.593950 + 0.804502i \(0.702432\pi\)
\(504\) −9.09682 + 2.71478i −0.405204 + 0.120926i
\(505\) 35.7924 + 9.59053i 1.59274 + 0.426773i
\(506\) −8.36451 4.82925i −0.371848 0.214687i
\(507\) 8.18534 11.8581i 0.363524 0.526638i
\(508\) −6.58487 11.4053i −0.292156 0.506030i
\(509\) 4.21429 4.21429i 0.186795 0.186795i −0.607514 0.794309i \(-0.707833\pi\)
0.794309 + 0.607514i \(0.207833\pi\)
\(510\) −20.9468 + 12.0936i −0.927539 + 0.535515i
\(511\) −4.76266 15.9590i −0.210688 0.705983i
\(512\) −10.4677 10.4677i −0.462613 0.462613i
\(513\) 5.46920 20.4113i 0.241471 0.901183i
\(514\) −25.0415 25.0415i −1.10453 1.10453i
\(515\) −2.03698 0.545807i −0.0897600 0.0240511i
\(516\) 18.5053 10.6841i 0.814651 0.470339i
\(517\) 0.640669 + 1.10967i 0.0281766 + 0.0488033i
\(518\) 49.2495 30.3184i 2.16390 1.33211i
\(519\) 5.14222i 0.225719i
\(520\) 21.6065 4.86601i 0.947506 0.213389i
\(521\) −17.6087 + 10.1664i −0.771453 + 0.445399i −0.833393 0.552681i \(-0.813605\pi\)
0.0619398 + 0.998080i \(0.480271\pi\)
\(522\) −21.0967 + 5.65284i −0.923376 + 0.247418i
\(523\) 27.0854i 1.18436i −0.805806 0.592180i \(-0.798267\pi\)
0.805806 0.592180i \(-0.201733\pi\)
\(524\) −18.4741 + 31.9981i −0.807045 + 1.39784i
\(525\) −10.4818 + 6.45269i −0.457464 + 0.281618i
\(526\) −51.6994 + 13.8528i −2.25420 + 0.604011i
\(527\) 12.9693 + 3.47512i 0.564952 + 0.151379i
\(528\) 0.280177 1.04564i 0.0121932 0.0455055i
\(529\) −12.6111 −0.548309
\(530\) −45.3202 −1.96858
\(531\) −1.51181 + 5.64214i −0.0656069 + 0.244848i
\(532\) 8.80852 + 29.5160i 0.381898 + 1.27968i
\(533\) −8.14364 + 4.27403i −0.352740 + 0.185129i
\(534\) −11.5105 + 19.9367i −0.498106 + 0.862745i
\(535\) 10.8301 + 40.4183i 0.468224 + 1.74744i
\(536\) −6.57940 + 11.3959i −0.284187 + 0.492226i
\(537\) 7.80644 + 13.5212i 0.336873 + 0.583481i
\(538\) −46.2204 + 46.2204i −1.99270 + 1.99270i
\(539\) −5.00365 1.04226i −0.215522 0.0448933i
\(540\) −12.0954 45.1406i −0.520502 1.94254i
\(541\) 8.82915 + 32.9508i 0.379595 + 1.41667i 0.846513 + 0.532367i \(0.178697\pi\)
−0.466919 + 0.884300i \(0.654636\pi\)
\(542\) 1.89589i 0.0814355i
\(543\) −18.5462 10.7077i −0.795894 0.459510i
\(544\) −16.1043 16.1043i −0.690464 0.690464i
\(545\) 39.7585 1.70307
\(546\) 23.4358 + 0.282799i 1.00296 + 0.0121027i
\(547\) −12.5750 −0.537669 −0.268834 0.963186i \(-0.586638\pi\)
−0.268834 + 0.963186i \(0.586638\pi\)
\(548\) −20.8893 20.8893i −0.892348 0.892348i
\(549\) −11.1671 6.44732i −0.476600 0.275165i
\(550\) 6.79355i 0.289678i
\(551\) 5.75180 + 21.4660i 0.245035 + 0.914482i
\(552\) 3.46735 + 12.9403i 0.147580 + 0.550777i
\(553\) −1.17571 41.6541i −0.0499961 1.77131i
\(554\) −22.2637 + 22.2637i −0.945892 + 0.945892i
\(555\) 16.5735 + 28.7061i 0.703505 + 1.21851i
\(556\) −0.105999 + 0.183595i −0.00449535 + 0.00778617i
\(557\) −7.89194 29.4531i −0.334392 1.24797i −0.904527 0.426417i \(-0.859776\pi\)
0.570134 0.821551i \(-0.306891\pi\)
\(558\) −8.12138 + 14.0666i −0.343805 + 0.595488i
\(559\) 23.2734 5.24141i 0.984358 0.221688i
\(560\) −7.80048 7.37222i −0.329630 0.311533i
\(561\) 0.679918 2.53749i 0.0287062 0.107133i
\(562\) −5.71107 −0.240907
\(563\) −32.2270 −1.35821 −0.679104 0.734042i \(-0.737631\pi\)
−0.679104 + 0.734042i \(0.737631\pi\)
\(564\) 1.46684 5.47433i 0.0617652 0.230511i
\(565\) 34.7314 + 9.30625i 1.46116 + 0.391517i
\(566\) 40.9320 10.9677i 1.72050 0.461006i
\(567\) −0.0408492 1.44724i −0.00171550 0.0607786i
\(568\) −8.46038 + 14.6538i −0.354989 + 0.614860i
\(569\) 8.01324i 0.335932i −0.985793 0.167966i \(-0.946280\pi\)
0.985793 0.167966i \(-0.0537199\pi\)
\(570\) −28.7577 + 7.70560i −1.20453 + 0.322752i
\(571\) 20.5058 11.8390i 0.858139 0.495447i −0.00524963 0.999986i \(-0.501671\pi\)
0.863389 + 0.504539i \(0.168338\pi\)
\(572\) −4.09975 + 6.48313i −0.171419 + 0.271073i
\(573\) 8.52674i 0.356210i
\(574\) −13.1617 7.11150i −0.549357 0.296828i
\(575\) −12.5240 21.6922i −0.522286 0.904626i
\(576\) 19.7558 11.4060i 0.823157 0.475250i
\(577\) 41.4172 + 11.0977i 1.72422 + 0.462004i 0.978839 0.204634i \(-0.0656004\pi\)
0.745382 + 0.666638i \(0.232267\pi\)
\(578\) 10.1300 + 10.1300i 0.421354 + 0.421354i
\(579\) −2.30316 + 8.59551i −0.0957161 + 0.357217i
\(580\) 34.7526 + 34.7526i 1.44302 + 1.44302i
\(581\) 9.02625 37.9375i 0.374472 1.57391i
\(582\) 19.5307 11.2760i 0.809573 0.467407i
\(583\) 3.48057 3.48057i 0.144151 0.144151i
\(584\) −6.37492 11.0417i −0.263796 0.456908i
\(585\) 0.780129 19.3551i 0.0322544 0.800234i
\(586\) −0.121616 0.0702151i −0.00502392 0.00290056i
\(587\) −31.0661 8.32414i −1.28224 0.343574i −0.447530 0.894269i \(-0.647696\pi\)
−0.834707 + 0.550695i \(0.814363\pi\)
\(588\) 12.3896 + 18.9091i 0.510937 + 0.779796i
\(589\) 14.3129 + 8.26355i 0.589752 + 0.340494i
\(590\) 21.4111 5.73708i 0.881480 0.236192i
\(591\) −4.62084 + 4.62084i −0.190076 + 0.190076i
\(592\) −9.32716 + 9.32716i −0.383344 + 0.383344i
\(593\) 33.1918 8.89371i 1.36302 0.365221i 0.498097 0.867121i \(-0.334032\pi\)
0.864926 + 0.501900i \(0.167366\pi\)
\(594\) 7.41292 + 4.27985i 0.304156 + 0.175605i
\(595\) −18.9297 17.8905i −0.776043 0.733438i
\(596\) −3.50180 0.938303i −0.143439 0.0384344i
\(597\) 8.38968 + 4.84379i 0.343367 + 0.198243i
\(598\) −1.92083 + 47.6560i −0.0785486 + 1.94880i
\(599\) −2.36262 4.09217i −0.0965339 0.167202i 0.813714 0.581266i \(-0.197442\pi\)
−0.910248 + 0.414064i \(0.864109\pi\)
\(600\) −6.66306 + 6.66306i −0.272018 + 0.272018i
\(601\) 2.81859 1.62731i 0.114973 0.0663794i −0.441411 0.897305i \(-0.645522\pi\)
0.556383 + 0.830926i \(0.312189\pi\)
\(602\) 28.2024 + 26.6540i 1.14944 + 1.08634i
\(603\) 8.13808 + 8.13808i 0.331408 + 0.331408i
\(604\) 0.559662 2.08869i 0.0227723 0.0849875i
\(605\) −22.4458 22.4458i −0.912551 0.912551i
\(606\) 28.9968 + 7.76966i 1.17791 + 0.315621i
\(607\) −13.6571 + 7.88495i −0.554326 + 0.320040i −0.750865 0.660456i \(-0.770363\pi\)
0.196539 + 0.980496i \(0.437030\pi\)
\(608\) −14.0168 24.2778i −0.568457 0.984596i
\(609\) 8.55032 + 13.8892i 0.346476 + 0.562820i
\(610\) 48.9332i 1.98125i
\(611\) 3.38181 5.34781i 0.136813 0.216349i
\(612\) 14.5106 8.37771i 0.586557 0.338649i
\(613\) −12.8002 + 3.42979i −0.516993 + 0.138528i −0.507876 0.861430i \(-0.669569\pi\)
−0.00911789 + 0.999958i \(0.502902\pi\)
\(614\) 12.9177i 0.521314i
\(615\) 4.28713 7.42552i 0.172874 0.299426i
\(616\) −3.91121 + 0.110396i −0.157587 + 0.00444797i
\(617\) −36.8780 + 9.88144i −1.48465 + 0.397812i −0.907928 0.419126i \(-0.862337\pi\)
−0.576726 + 0.816938i \(0.695670\pi\)
\(618\) −1.65023 0.442179i −0.0663822 0.0177870i
\(619\) 4.73495 17.6711i 0.190314 0.710261i −0.803117 0.595822i \(-0.796826\pi\)
0.993430 0.114439i \(-0.0365070\pi\)
\(620\) 36.5504 1.46790
\(621\) 31.5598 1.26645
\(622\) 2.99175 11.1653i 0.119958 0.447690i
\(623\) −24.1170 5.73802i −0.966226 0.229889i
\(624\) −5.21499 + 1.17447i −0.208767 + 0.0470165i
\(625\) −14.1844 + 24.5682i −0.567377 + 0.982726i
\(626\) 9.75809 + 36.4177i 0.390012 + 1.45554i
\(627\) 1.61679 2.80036i 0.0645684 0.111836i
\(628\) −13.1606 22.7948i −0.525163 0.909610i
\(629\) −22.6346 + 22.6346i −0.902501 + 0.902501i
\(630\) 26.8320 16.5180i 1.06901 0.658092i
\(631\) 8.97429 + 33.4925i 0.357261 + 1.33332i 0.877615 + 0.479366i \(0.159133\pi\)
−0.520354 + 0.853950i \(0.674200\pi\)
\(632\) −8.25659 30.8140i −0.328430 1.22572i
\(633\) 22.3578i 0.888643i
\(634\) −7.59722 4.38626i −0.301724 0.174201i
\(635\) 9.69271 + 9.69271i 0.384644 + 0.384644i
\(636\) −21.7715 −0.863298
\(637\) 6.92519 + 24.2702i 0.274386 + 0.961620i
\(638\) −9.00199 −0.356392
\(639\) 10.4647 + 10.4647i 0.413975 + 0.413975i
\(640\) −38.1161 22.0063i −1.50667 0.869877i
\(641\) 15.7583i 0.622414i 0.950342 + 0.311207i \(0.100733\pi\)
−0.950342 + 0.311207i \(0.899267\pi\)
\(642\) 8.77385 + 32.7444i 0.346276 + 1.29232i
\(643\) −7.83090 29.2253i −0.308821 1.15253i −0.929606 0.368554i \(-0.879853\pi\)
0.620786 0.783980i \(-0.286814\pi\)
\(644\) −39.1754 + 24.1167i −1.54373 + 0.950330i
\(645\) −15.7266 + 15.7266i −0.619233 + 0.619233i
\(646\) −14.3755 24.8992i −0.565598 0.979645i
\(647\) 22.4737 38.9255i 0.883531 1.53032i 0.0361431 0.999347i \(-0.488493\pi\)
0.847388 0.530974i \(-0.178174\pi\)
\(648\) −0.286870 1.07061i −0.0112693 0.0420577i
\(649\) −1.20376 + 2.08497i −0.0472515 + 0.0818421i
\(650\) −29.7047 + 15.5900i −1.16511 + 0.611488i
\(651\) 11.8002 + 2.80755i 0.462485 + 0.110037i
\(652\) 1.72058 6.42131i 0.0673833 0.251478i
\(653\) −4.80782 −0.188145 −0.0940723 0.995565i \(-0.529988\pi\)
−0.0940723 + 0.995565i \(0.529988\pi\)
\(654\) 32.2099 1.25951
\(655\) 9.95343 37.1467i 0.388913 1.45144i
\(656\) 3.29580 + 0.883107i 0.128679 + 0.0344796i
\(657\) −10.7713 + 2.88617i −0.420229 + 0.112600i
\(658\) 10.2881 0.290386i 0.401071 0.0113204i
\(659\) −1.29400 + 2.24128i −0.0504072 + 0.0873078i −0.890128 0.455710i \(-0.849385\pi\)
0.839721 + 0.543018i \(0.182719\pi\)
\(660\) 7.15120i 0.278360i
\(661\) −1.14316 + 0.306308i −0.0444637 + 0.0119140i −0.280982 0.959713i \(-0.590660\pi\)
0.236519 + 0.971627i \(0.423994\pi\)
\(662\) 25.7395 14.8607i 1.00039 0.577577i
\(663\) −12.6554 + 2.85014i −0.491496 + 0.110690i
\(664\) 29.8538i 1.15855i
\(665\) −16.8071 27.3017i −0.651753 1.05871i
\(666\) −19.3617 33.5355i −0.750252 1.29948i
\(667\) −28.7438 + 16.5953i −1.11297 + 0.642571i
\(668\) −7.93786 2.12694i −0.307125 0.0822939i
\(669\) 10.3600 + 10.3600i 0.400542 + 0.400542i
\(670\) 11.3039 42.1867i 0.436707 1.62981i
\(671\) −3.75805 3.75805i −0.145078 0.145078i
\(672\) −14.9530 14.1321i −0.576824 0.545156i
\(673\) 28.3877 16.3896i 1.09426 0.631774i 0.159556 0.987189i \(-0.448994\pi\)
0.934709 + 0.355415i \(0.115660\pi\)
\(674\) 23.9039 23.9039i 0.920744 0.920744i
\(675\) 11.0992 + 19.2244i 0.427208 + 0.739946i
\(676\) 37.7556 + 3.04852i 1.45214 + 0.117251i
\(677\) 6.57450 + 3.79579i 0.252678 + 0.145884i 0.620990 0.783818i \(-0.286731\pi\)
−0.368312 + 0.929702i \(0.620064\pi\)
\(678\) 28.1373 + 7.53935i 1.08060 + 0.289547i
\(679\) 17.6500 + 16.6810i 0.677345 + 0.640158i
\(680\) −17.2683 9.96984i −0.662208 0.382326i
\(681\) 8.15675 2.18560i 0.312567 0.0837522i
\(682\) −4.73383 + 4.73383i −0.181268 + 0.181268i
\(683\) 16.7687 16.7687i 0.641635 0.641635i −0.309322 0.950957i \(-0.600102\pi\)
0.950957 + 0.309322i \(0.100102\pi\)
\(684\) 19.9215 5.33796i 0.761719 0.204102i
\(685\) 26.6289 + 15.3742i 1.01744 + 0.587418i
\(686\) −26.4709 + 31.3799i −1.01066 + 1.19809i
\(687\) −31.3091 8.38924i −1.19452 0.320069i
\(688\) −7.66480 4.42528i −0.292218 0.168712i
\(689\) −23.2060 7.23149i −0.884080 0.275498i
\(690\) −22.2324 38.5077i −0.846373 1.46596i
\(691\) 2.45150 2.45150i 0.0932596 0.0932596i −0.658938 0.752197i \(-0.728994\pi\)
0.752197 + 0.658938i \(0.228994\pi\)
\(692\) 11.7070 6.75903i 0.445033 0.256940i
\(693\) −0.792111 + 3.32926i −0.0300898 + 0.126468i
\(694\) −15.3487 15.3487i −0.582630 0.582630i
\(695\) 0.0571097 0.213136i 0.00216630 0.00808473i
\(696\) 8.82907 + 8.82907i 0.334665 + 0.334665i
\(697\) 7.99806 + 2.14307i 0.302948 + 0.0811747i
\(698\) 8.64521 4.99131i 0.327226 0.188924i
\(699\) −0.503391 0.871899i −0.0190400 0.0329782i
\(700\) −28.4679 15.3818i −1.07599 0.581376i
\(701\) 40.4604i 1.52817i 0.645116 + 0.764085i \(0.276809\pi\)
−0.645116 + 0.764085i \(0.723191\pi\)
\(702\) 1.70231 42.2344i 0.0642494 1.59404i
\(703\) −34.1226 + 19.7007i −1.28696 + 0.743026i
\(704\) 9.08187 2.43348i 0.342286 0.0917153i
\(705\) 5.89889i 0.222165i
\(706\) 18.7808 32.5294i 0.706826 1.22426i
\(707\) 0.912077 + 32.3140i 0.0343022 + 1.21529i
\(708\) 10.2857 2.75606i 0.386562 0.103579i
\(709\) 37.1048 + 9.94221i 1.39350 + 0.373388i 0.876007 0.482299i \(-0.160198\pi\)
0.517495 + 0.855686i \(0.326865\pi\)
\(710\) 14.5355 54.2473i 0.545508 2.03587i
\(711\) −27.9013 −1.04638
\(712\) −18.9782 −0.711237
\(713\) −6.38851 + 23.8422i −0.239252 + 0.892899i
\(714\) −15.3357 14.4938i −0.573924 0.542415i
\(715\) 2.37530 7.62239i 0.0888310 0.285061i
\(716\) −20.5219 + 35.5449i −0.766938 + 1.32837i
\(717\) 2.86213 + 10.6816i 0.106888 + 0.398912i
\(718\) −17.6707 + 30.6065i −0.659464 + 1.14223i
\(719\) −21.3049 36.9012i −0.794540 1.37618i −0.923131 0.384486i \(-0.874379\pi\)
0.128591 0.991698i \(-0.458955\pi\)
\(720\) −5.08160 + 5.08160i −0.189380 + 0.189380i
\(721\) −0.0519072 1.83902i −0.00193313 0.0684887i
\(722\) 1.74118 + 6.49816i 0.0647999 + 0.241836i
\(723\) 2.07095 + 7.72888i 0.0770193 + 0.287440i
\(724\) 56.2974i 2.09227i
\(725\) −20.2177 11.6727i −0.750865 0.433512i
\(726\) −18.1842 18.1842i −0.674878 0.674878i
\(727\) −23.6095 −0.875628 −0.437814 0.899066i \(-0.644247\pi\)
−0.437814 + 0.899066i \(0.644247\pi\)
\(728\) 9.45821 + 16.8484i 0.350545 + 0.624442i
\(729\) −18.5547 −0.687210
\(730\) 29.9230 + 29.9230i 1.10750 + 1.10750i
\(731\) −18.6005 10.7390i −0.687964 0.397196i
\(732\) 23.5072i 0.868851i
\(733\) −6.59668 24.6192i −0.243654 0.909329i −0.974055 0.226311i \(-0.927334\pi\)
0.730401 0.683018i \(-0.239333\pi\)
\(734\) 13.7731 + 51.4019i 0.508374 + 1.89728i
\(735\) −17.5500 15.6730i −0.647341 0.578109i
\(736\) 29.6054 29.6054i 1.09127 1.09127i
\(737\) 2.37178 + 4.10805i 0.0873658 + 0.151322i
\(738\) −5.00838 + 8.67477i −0.184361 + 0.319323i
\(739\) 7.03335 + 26.2488i 0.258726 + 0.965579i 0.965979 + 0.258619i \(0.0832673\pi\)
−0.707253 + 0.706960i \(0.750066\pi\)
\(740\) −43.5689 + 75.4636i −1.60163 + 2.77410i
\(741\) −15.9548 0.643077i −0.586114 0.0236240i
\(742\) −11.3065 37.8863i −0.415074 1.39085i
\(743\) −7.41429 + 27.6705i −0.272004 + 1.01513i 0.685818 + 0.727773i \(0.259444\pi\)
−0.957823 + 0.287360i \(0.907222\pi\)
\(744\) 9.28581 0.340434
\(745\) 3.77338 0.138246
\(746\) 8.23182 30.7216i 0.301388 1.12480i
\(747\) −25.2211 6.75797i −0.922791 0.247261i
\(748\) 6.67064 1.78739i 0.243903 0.0653535i
\(749\) −31.0866 + 19.1372i −1.13588 + 0.699257i
\(750\) −2.99018 + 5.17915i −0.109186 + 0.189116i
\(751\) 19.8037i 0.722648i −0.932440 0.361324i \(-0.882325\pi\)
0.932440 0.361324i \(-0.117675\pi\)
\(752\) −2.26744 + 0.607558i −0.0826849 + 0.0221554i
\(753\) −5.61959 + 3.24447i −0.204789 + 0.118235i
\(754\) 20.6579 + 39.3611i 0.752317 + 1.43345i
\(755\) 2.25068i 0.0819105i
\(756\) 34.7186 21.3730i 1.26270 0.777330i
\(757\) 16.3218 + 28.2703i 0.593228 + 1.02750i 0.993794 + 0.111233i \(0.0354799\pi\)
−0.400567 + 0.916268i \(0.631187\pi\)
\(758\) 16.2320 9.37155i 0.589573 0.340390i
\(759\) 4.66481 + 1.24993i 0.169322 + 0.0453697i
\(760\) −17.3551 17.3551i −0.629535 0.629535i
\(761\) −6.44626 + 24.0578i −0.233677 + 0.872094i 0.745064 + 0.666993i \(0.232419\pi\)
−0.978741 + 0.205101i \(0.934248\pi\)
\(762\) 7.85244 + 7.85244i 0.284464 + 0.284464i
\(763\) 9.91894 + 33.2369i 0.359090 + 1.20326i
\(764\) 19.4123 11.2077i 0.702312 0.405480i
\(765\) −12.3317 + 12.3317i −0.445854 + 0.445854i
\(766\) −21.7705 37.7077i −0.786601 1.36243i
\(767\) 11.8789 + 0.478793i 0.428922 + 0.0172882i
\(768\) −6.15827 3.55548i −0.222218 0.128297i
\(769\) −52.0116 13.9365i −1.87559 0.502562i −0.999803 0.0198562i \(-0.993679\pi\)
−0.875783 0.482705i \(-0.839654\pi\)
\(770\) 12.4444 3.71379i 0.448463 0.133836i
\(771\) 15.3351 + 8.85370i 0.552279 + 0.318858i
\(772\) −22.5962 +