Properties

Label 400.2.bm.a.203.25
Level $400$
Weight $2$
Character 400.203
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bm (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 203.25
Character \(\chi\) \(=\) 400.203
Dual form 400.2.bm.a.67.25

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.337370 + 1.37338i) q^{2} +(-1.50268 + 2.06827i) q^{3} +(-1.77236 - 0.926677i) q^{4} +(0.470031 - 2.18611i) q^{5} +(-2.33356 - 2.76153i) q^{6} +(2.52238 - 2.52238i) q^{7} +(1.87063 - 2.12150i) q^{8} +(-1.09262 - 3.36273i) q^{9} +O(q^{10})\) \(q+(-0.337370 + 1.37338i) q^{2} +(-1.50268 + 2.06827i) q^{3} +(-1.77236 - 0.926677i) q^{4} +(0.470031 - 2.18611i) q^{5} +(-2.33356 - 2.76153i) q^{6} +(2.52238 - 2.52238i) q^{7} +(1.87063 - 2.12150i) q^{8} +(-1.09262 - 3.36273i) q^{9} +(2.84379 + 1.38306i) q^{10} +(2.45771 + 4.82352i) q^{11} +(4.57992 - 2.27322i) q^{12} +(-0.583088 - 1.79456i) q^{13} +(2.61322 + 4.31517i) q^{14} +(3.81515 + 4.25718i) q^{15} +(2.28254 + 3.28482i) q^{16} +(0.781964 - 4.93713i) q^{17} +(4.98693 - 0.366097i) q^{18} +(0.781517 - 4.93430i) q^{19} +(-2.85888 + 3.43901i) q^{20} +(1.42661 + 9.00729i) q^{21} +(-7.45370 + 1.74806i) q^{22} +(3.24767 - 1.65477i) q^{23} +(1.57687 + 7.05689i) q^{24} +(-4.55814 - 2.05508i) q^{25} +(2.66133 - 0.195372i) q^{26} +(1.30270 + 0.423273i) q^{27} +(-6.80800 + 2.13314i) q^{28} +(0.977218 + 6.16991i) q^{29} +(-7.13385 + 3.80341i) q^{30} +(1.65481 + 2.27766i) q^{31} +(-5.28137 + 2.02660i) q^{32} +(-13.6695 - 2.16503i) q^{33} +(6.51675 + 2.73958i) q^{34} +(-4.32860 - 6.69979i) q^{35} +(-1.17965 + 6.97248i) q^{36} +(2.09728 + 6.45477i) q^{37} +(6.51303 + 2.73801i) q^{38} +(4.58782 + 1.49067i) q^{39} +(-3.75858 - 5.08656i) q^{40} +(1.70913 - 0.555331i) q^{41} +(-12.8518 - 1.07950i) q^{42} +6.56785 q^{43} +(0.113900 - 10.8265i) q^{44} +(-7.86486 + 0.807991i) q^{45} +(1.17697 + 5.01857i) q^{46} +(-0.206806 - 1.30572i) q^{47} +(-10.2238 - 0.215142i) q^{48} -5.72479i q^{49} +(4.36019 - 5.56675i) q^{50} +(9.03625 + 9.03625i) q^{51} +(-0.629535 + 3.72094i) q^{52} +(7.84013 - 10.7910i) q^{53} +(-1.02081 + 1.64631i) q^{54} +(11.6999 - 3.10561i) q^{55} +(-0.632799 - 10.0697i) q^{56} +(9.03108 + 9.03108i) q^{57} +(-8.80334 - 0.739450i) q^{58} +(-2.90307 + 5.69760i) q^{59} +(-2.81679 - 11.0807i) q^{60} +(-3.13709 - 6.15689i) q^{61} +(-3.68638 + 1.50428i) q^{62} +(-11.2381 - 5.72608i) q^{63} +(-1.00152 - 7.93706i) q^{64} +(-4.19717 + 0.431194i) q^{65} +(7.58510 - 18.0430i) q^{66} +(-1.24782 + 0.906596i) q^{67} +(-5.96105 + 8.02575i) q^{68} +(-1.45772 + 9.20366i) q^{69} +(10.6617 - 3.68451i) q^{70} +(12.4266 + 9.02846i) q^{71} +(-9.17791 - 3.97242i) q^{72} +(-3.00168 - 5.89113i) q^{73} +(-9.57244 + 0.702724i) q^{74} +(11.0999 - 6.33932i) q^{75} +(-5.95764 + 8.02116i) q^{76} +(18.3660 + 5.96748i) q^{77} +(-3.59506 + 5.79793i) q^{78} +(-4.66811 - 3.39158i) q^{79} +(8.25383 - 3.44591i) q^{80} +(5.74854 - 4.17656i) q^{81} +(0.186071 + 2.53465i) q^{82} +(4.81168 + 6.62271i) q^{83} +(5.81837 - 17.2862i) q^{84} +(-10.4255 - 4.03006i) q^{85} +(-2.21580 + 9.02018i) q^{86} +(-14.2295 - 7.25028i) q^{87} +(14.8306 + 3.80898i) q^{88} +(3.48906 - 10.7382i) q^{89} +(1.54369 - 11.0741i) q^{90} +(-5.99733 - 3.05579i) q^{91} +(-7.28950 - 0.0766889i) q^{92} -7.19746 q^{93} +(1.86303 + 0.156488i) q^{94} +(-10.4196 - 4.02776i) q^{95} +(3.74468 - 13.9686i) q^{96} +(-13.9913 + 2.21600i) q^{97} +(7.86233 + 1.93137i) q^{98} +(13.5349 - 13.5349i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} + O(q^{10}) \) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} - 4q^{10} - 6q^{11} - 22q^{12} - 6q^{13} - 10q^{14} - 12q^{15} + 34q^{16} - 16q^{17} - 24q^{18} - 10q^{19} - 14q^{20} - 36q^{21} - 60q^{22} - 16q^{23} - 12q^{24} - 16q^{26} - 10q^{27} + 6q^{28} - 10q^{29} - 106q^{30} + 2q^{32} - 16q^{33} - 10q^{34} - 60q^{35} + 10q^{36} - 6q^{37} - 38q^{38} - 20q^{39} + 16q^{40} - 38q^{42} + 16q^{43} - 80q^{44} - 4q^{45} - 6q^{46} + 24q^{47} + 60q^{48} + 38q^{50} - 16q^{51} - 160q^{52} - 10q^{53} - 16q^{55} - 6q^{56} - 12q^{57} - 110q^{58} - 10q^{59} - 50q^{60} - 6q^{61} - 14q^{62} - 12q^{63} + 20q^{64} - 16q^{65} - 6q^{66} + 30q^{67} - 50q^{68} - 22q^{69} + 38q^{70} - 12q^{71} + 172q^{72} - 8q^{73} + 8q^{74} - 58q^{75} - 16q^{76} + 60q^{77} - 48q^{78} + 208q^{80} - 96q^{81} - 14q^{82} - 10q^{83} - 22q^{84} + 2q^{85} - 126q^{86} - 72q^{87} + 86q^{88} + 110q^{90} + 64q^{91} - 66q^{92} - 28q^{93} - 10q^{94} - 160q^{95} - 36q^{96} - 16q^{97} - 44q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{7}{20}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.337370 + 1.37338i −0.238557 + 0.971129i
\(3\) −1.50268 + 2.06827i −0.867575 + 1.19411i 0.112135 + 0.993693i \(0.464231\pi\)
−0.979710 + 0.200421i \(0.935769\pi\)
\(4\) −1.77236 0.926677i −0.886181 0.463339i
\(5\) 0.470031 2.18611i 0.210204 0.977657i
\(6\) −2.33356 2.76153i −0.952672 1.12739i
\(7\) 2.52238 2.52238i 0.953370 0.953370i −0.0455906 0.998960i \(-0.514517\pi\)
0.998960 + 0.0455906i \(0.0145170\pi\)
\(8\) 1.87063 2.12150i 0.661366 0.750063i
\(9\) −1.09262 3.36273i −0.364206 1.12091i
\(10\) 2.84379 + 1.38306i 0.899285 + 0.437362i
\(11\) 2.45771 + 4.82352i 0.741027 + 1.45435i 0.885403 + 0.464824i \(0.153883\pi\)
−0.144376 + 0.989523i \(0.546117\pi\)
\(12\) 4.57992 2.27322i 1.32211 0.656221i
\(13\) −0.583088 1.79456i −0.161719 0.497721i 0.837060 0.547111i \(-0.184272\pi\)
−0.998780 + 0.0493896i \(0.984272\pi\)
\(14\) 2.61322 + 4.31517i 0.698412 + 1.15328i
\(15\) 3.81515 + 4.25718i 0.985067 + 1.09920i
\(16\) 2.28254 + 3.28482i 0.570635 + 0.821204i
\(17\) 0.781964 4.93713i 0.189654 1.19743i −0.690710 0.723131i \(-0.742702\pi\)
0.880365 0.474298i \(-0.157298\pi\)
\(18\) 4.98693 0.366097i 1.17543 0.0862899i
\(19\) 0.781517 4.93430i 0.179292 1.13201i −0.719779 0.694204i \(-0.755757\pi\)
0.899071 0.437803i \(-0.144243\pi\)
\(20\) −2.85888 + 3.43901i −0.639266 + 0.768986i
\(21\) 1.42661 + 9.00729i 0.311313 + 1.96555i
\(22\) −7.45370 + 1.74806i −1.58914 + 0.372688i
\(23\) 3.24767 1.65477i 0.677187 0.345044i −0.0813393 0.996686i \(-0.525920\pi\)
0.758526 + 0.651642i \(0.225920\pi\)
\(24\) 1.57687 + 7.05689i 0.321877 + 1.44048i
\(25\) −4.55814 2.05508i −0.911628 0.411016i
\(26\) 2.66133 0.195372i 0.521931 0.0383156i
\(27\) 1.30270 + 0.423273i 0.250705 + 0.0814589i
\(28\) −6.80800 + 2.13314i −1.28659 + 0.403125i
\(29\) 0.977218 + 6.16991i 0.181465 + 1.14572i 0.895318 + 0.445428i \(0.146949\pi\)
−0.713853 + 0.700296i \(0.753051\pi\)
\(30\) −7.13385 + 3.80341i −1.30246 + 0.694405i
\(31\) 1.65481 + 2.27766i 0.297213 + 0.409079i 0.931340 0.364150i \(-0.118640\pi\)
−0.634127 + 0.773229i \(0.718640\pi\)
\(32\) −5.28137 + 2.02660i −0.933624 + 0.358256i
\(33\) −13.6695 2.16503i −2.37955 0.376884i
\(34\) 6.51675 + 2.73958i 1.11761 + 0.469833i
\(35\) −4.32860 6.69979i −0.731666 1.13247i
\(36\) −1.17965 + 6.97248i −0.196609 + 1.16208i
\(37\) 2.09728 + 6.45477i 0.344791 + 1.06116i 0.961695 + 0.274120i \(0.0883866\pi\)
−0.616904 + 0.787038i \(0.711613\pi\)
\(38\) 6.51303 + 2.73801i 1.05655 + 0.444164i
\(39\) 4.58782 + 1.49067i 0.734640 + 0.238699i
\(40\) −3.75858 5.08656i −0.594283 0.804256i
\(41\) 1.70913 0.555331i 0.266922 0.0867281i −0.172498 0.985010i \(-0.555184\pi\)
0.439420 + 0.898282i \(0.355184\pi\)
\(42\) −12.8518 1.07950i −1.98307 0.166571i
\(43\) 6.56785 1.00159 0.500794 0.865566i \(-0.333041\pi\)
0.500794 + 0.865566i \(0.333041\pi\)
\(44\) 0.113900 10.8265i 0.0171711 1.63216i
\(45\) −7.86486 + 0.807991i −1.17242 + 0.120448i
\(46\) 1.17697 + 5.01857i 0.173535 + 0.739948i
\(47\) −0.206806 1.30572i −0.0301658 0.190460i 0.968004 0.250935i \(-0.0807382\pi\)
−0.998170 + 0.0604759i \(0.980738\pi\)
\(48\) −10.2238 0.215142i −1.47568 0.0310531i
\(49\) 5.72479i 0.817827i
\(50\) 4.36019 5.56675i 0.616624 0.787258i
\(51\) 9.03625 + 9.03625i 1.26533 + 1.26533i
\(52\) −0.629535 + 3.72094i −0.0873008 + 0.516002i
\(53\) 7.84013 10.7910i 1.07693 1.48226i 0.214064 0.976820i \(-0.431330\pi\)
0.862861 0.505441i \(-0.168670\pi\)
\(54\) −1.02081 + 1.64631i −0.138914 + 0.224034i
\(55\) 11.6999 3.10561i 1.57762 0.418760i
\(56\) −0.632799 10.0697i −0.0845614 1.34561i
\(57\) 9.03108 + 9.03108i 1.19620 + 1.19620i
\(58\) −8.80334 0.739450i −1.15593 0.0970945i
\(59\) −2.90307 + 5.69760i −0.377948 + 0.741764i −0.999121 0.0419086i \(-0.986656\pi\)
0.621174 + 0.783673i \(0.286656\pi\)
\(60\) −2.81679 11.0807i −0.363646 1.43051i
\(61\) −3.13709 6.15689i −0.401663 0.788309i 0.598252 0.801308i \(-0.295862\pi\)
−0.999916 + 0.0129993i \(0.995862\pi\)
\(62\) −3.68638 + 1.50428i −0.468170 + 0.191044i
\(63\) −11.2381 5.72608i −1.41586 0.721419i
\(64\) −1.00152 7.93706i −0.125190 0.992133i
\(65\) −4.19717 + 0.431194i −0.520595 + 0.0534830i
\(66\) 7.58510 18.0430i 0.933662 2.22094i
\(67\) −1.24782 + 0.906596i −0.152446 + 0.110758i −0.661394 0.750039i \(-0.730035\pi\)
0.508948 + 0.860797i \(0.330035\pi\)
\(68\) −5.96105 + 8.02575i −0.722883 + 0.973265i
\(69\) −1.45772 + 9.20366i −0.175488 + 1.10799i
\(70\) 10.6617 3.68451i 1.27432 0.440383i
\(71\) 12.4266 + 9.02846i 1.47477 + 1.07148i 0.979197 + 0.202913i \(0.0650409\pi\)
0.495570 + 0.868568i \(0.334959\pi\)
\(72\) −9.17791 3.97242i −1.08163 0.468154i
\(73\) −3.00168 5.89113i −0.351320 0.689505i 0.645947 0.763382i \(-0.276463\pi\)
−0.997267 + 0.0738773i \(0.976463\pi\)
\(74\) −9.57244 + 0.702724i −1.11277 + 0.0816901i
\(75\) 11.0999 6.33932i 1.28171 0.732001i
\(76\) −5.95764 + 8.02116i −0.683388 + 0.920090i
\(77\) 18.3660 + 5.96748i 2.09300 + 0.680058i
\(78\) −3.59506 + 5.79793i −0.407061 + 0.656486i
\(79\) −4.66811 3.39158i −0.525203 0.381583i 0.293357 0.956003i \(-0.405228\pi\)
−0.818561 + 0.574420i \(0.805228\pi\)
\(80\) 8.25383 3.44591i 0.922806 0.385264i
\(81\) 5.74854 4.17656i 0.638727 0.464062i
\(82\) 0.186071 + 2.53465i 0.0205482 + 0.279905i
\(83\) 4.81168 + 6.62271i 0.528150 + 0.726937i 0.986847 0.161656i \(-0.0516836\pi\)
−0.458697 + 0.888593i \(0.651684\pi\)
\(84\) 5.81837 17.2862i 0.634836 1.88608i
\(85\) −10.4255 4.03006i −1.13081 0.437122i
\(86\) −2.21580 + 9.02018i −0.238936 + 0.972671i
\(87\) −14.2295 7.25028i −1.52556 0.777311i
\(88\) 14.8306 + 3.80898i 1.58094 + 0.406039i
\(89\) 3.48906 10.7382i 0.369839 1.13825i −0.577056 0.816705i \(-0.695798\pi\)
0.946895 0.321543i \(-0.104202\pi\)
\(90\) 1.54369 11.0741i 0.162719 1.16731i
\(91\) −5.99733 3.05579i −0.628691 0.320334i
\(92\) −7.28950 0.0766889i −0.759983 0.00799537i
\(93\) −7.19746 −0.746342
\(94\) 1.86303 + 0.156488i 0.192157 + 0.0161405i
\(95\) −10.4196 4.02776i −1.06903 0.413239i
\(96\) 3.74468 13.9686i 0.382190 1.42567i
\(97\) −13.9913 + 2.21600i −1.42060 + 0.225001i −0.818998 0.573796i \(-0.805470\pi\)
−0.601601 + 0.798797i \(0.705470\pi\)
\(98\) 7.86233 + 1.93137i 0.794215 + 0.195098i
\(99\) 13.5349 13.5349i 1.36031 1.36031i
\(100\) 6.17428 + 7.86627i 0.617428 + 0.786627i
\(101\) 3.83266 + 3.83266i 0.381364 + 0.381364i 0.871593 0.490230i \(-0.163087\pi\)
−0.490230 + 0.871593i \(0.663087\pi\)
\(102\) −15.4588 + 9.36167i −1.53065 + 0.926943i
\(103\) 0.191983 + 1.21213i 0.0189167 + 0.119435i 0.995340 0.0964307i \(-0.0307426\pi\)
−0.976423 + 0.215866i \(0.930743\pi\)
\(104\) −4.89790 2.11993i −0.480278 0.207876i
\(105\) 20.3615 + 1.11497i 1.98708 + 0.108810i
\(106\) 12.1752 + 14.4081i 1.18256 + 1.39944i
\(107\) 4.25657i 0.411498i −0.978605 0.205749i \(-0.934037\pi\)
0.978605 0.205749i \(-0.0659630\pi\)
\(108\) −1.91662 1.95737i −0.184427 0.188348i
\(109\) −6.98810 + 13.7149i −0.669339 + 1.31365i 0.267388 + 0.963589i \(0.413839\pi\)
−0.936727 + 0.350062i \(0.886161\pi\)
\(110\) 0.317978 + 17.1163i 0.0303180 + 1.63197i
\(111\) −16.5017 5.36174i −1.56628 0.508914i
\(112\) 14.0430 + 2.52813i 1.32694 + 0.238885i
\(113\) 1.48526 2.91498i 0.139721 0.274219i −0.810533 0.585692i \(-0.800823\pi\)
0.950255 + 0.311474i \(0.100823\pi\)
\(114\) −15.4499 + 9.35631i −1.44702 + 0.876299i
\(115\) −2.09100 7.87756i −0.194987 0.734587i
\(116\) 3.98553 11.8409i 0.370047 1.09940i
\(117\) −5.39753 + 3.92153i −0.499002 + 0.362546i
\(118\) −6.84558 5.90923i −0.630187 0.543989i
\(119\) −10.4809 14.4257i −0.960782 1.32240i
\(120\) 16.1683 0.130244i 1.47596 0.0118896i
\(121\) −10.7604 + 14.8104i −0.978220 + 1.34640i
\(122\) 9.51413 2.23128i 0.861368 0.202010i
\(123\) −1.41971 + 4.36943i −0.128011 + 0.393978i
\(124\) −0.822278 5.57031i −0.0738427 0.500228i
\(125\) −6.63509 + 8.99864i −0.593461 + 0.804863i
\(126\) 11.6555 13.5024i 1.03835 1.20289i
\(127\) −0.888106 + 0.452512i −0.0788066 + 0.0401540i −0.492950 0.870058i \(-0.664081\pi\)
0.414143 + 0.910212i \(0.364081\pi\)
\(128\) 11.2385 + 1.30226i 0.993353 + 0.115104i
\(129\) −9.86940 + 13.5841i −0.868953 + 1.19601i
\(130\) 0.823807 5.90980i 0.0722526 0.518324i
\(131\) −7.39726 1.17161i −0.646301 0.102364i −0.175326 0.984510i \(-0.556098\pi\)
−0.470975 + 0.882146i \(0.656098\pi\)
\(132\) 22.2210 + 16.5044i 1.93409 + 1.43653i
\(133\) −10.4749 14.4175i −0.908289 1.25015i
\(134\) −0.824126 2.01960i −0.0711936 0.174467i
\(135\) 1.53763 2.64889i 0.132338 0.227980i
\(136\) −9.01135 10.8945i −0.772717 0.934191i
\(137\) 2.83222 5.55854i 0.241973 0.474898i −0.737798 0.675021i \(-0.764134\pi\)
0.979771 + 0.200124i \(0.0641344\pi\)
\(138\) −12.1484 5.10704i −1.03414 0.434740i
\(139\) 1.14236 0.582061i 0.0968936 0.0493698i −0.404872 0.914373i \(-0.632684\pi\)
0.501766 + 0.865004i \(0.332684\pi\)
\(140\) 1.46330 + 15.8857i 0.123671 + 1.34258i
\(141\) 3.01135 + 1.53436i 0.253602 + 0.129216i
\(142\) −16.5919 + 14.0206i −1.39236 + 1.17658i
\(143\) 7.22304 7.22304i 0.604021 0.604021i
\(144\) 8.55201 11.2646i 0.712667 0.938717i
\(145\) 13.9474 + 0.763747i 1.15827 + 0.0634257i
\(146\) 9.10346 2.13497i 0.753408 0.176691i
\(147\) 11.8404 + 8.60255i 0.976579 + 0.709526i
\(148\) 2.26435 13.3837i 0.186128 1.10013i
\(149\) 0.324719 0.324719i 0.0266020 0.0266020i −0.693681 0.720283i \(-0.744012\pi\)
0.720283 + 0.693681i \(0.244012\pi\)
\(150\) 4.96154 + 17.3831i 0.405108 + 1.41932i
\(151\) −20.9572 −1.70547 −0.852735 0.522344i \(-0.825058\pi\)
−0.852735 + 0.522344i \(0.825058\pi\)
\(152\) −9.00620 10.8882i −0.730499 0.883151i
\(153\) −17.4566 + 2.76486i −1.41128 + 0.223525i
\(154\) −14.3918 + 23.2103i −1.15972 + 1.87034i
\(155\) 5.75702 2.54703i 0.462415 0.204583i
\(156\) −6.74991 6.89345i −0.540426 0.551918i
\(157\) 9.12921i 0.728590i −0.931284 0.364295i \(-0.881310\pi\)
0.931284 0.364295i \(-0.118690\pi\)
\(158\) 6.23282 5.26689i 0.495857 0.419011i
\(159\) 10.5375 + 32.4310i 0.835675 + 2.57194i
\(160\) 1.94796 + 12.4982i 0.154000 + 0.988071i
\(161\) 4.01790 12.3658i 0.316655 0.974564i
\(162\) 3.79663 + 9.30400i 0.298291 + 0.730991i
\(163\) −16.9669 + 5.51289i −1.32895 + 0.431803i −0.885560 0.464525i \(-0.846225\pi\)
−0.443392 + 0.896328i \(0.646225\pi\)
\(164\) −3.54382 0.599567i −0.276725 0.0468183i
\(165\) −11.1581 + 28.8654i −0.868656 + 2.24716i
\(166\) −10.7188 + 4.37397i −0.831943 + 0.339486i
\(167\) −1.31340 + 8.29247i −0.101634 + 0.641691i 0.883306 + 0.468796i \(0.155312\pi\)
−0.984940 + 0.172895i \(0.944688\pi\)
\(168\) 21.7776 + 13.8227i 1.68018 + 1.06644i
\(169\) 7.63677 5.54844i 0.587444 0.426803i
\(170\) 9.05209 12.9586i 0.694264 0.993883i
\(171\) −17.4466 + 2.76327i −1.33418 + 0.211313i
\(172\) −11.6406 6.08628i −0.887589 0.464075i
\(173\) 1.75865 5.41256i 0.133708 0.411509i −0.861679 0.507453i \(-0.830587\pi\)
0.995387 + 0.0959439i \(0.0305869\pi\)
\(174\) 14.7580 17.0965i 1.11880 1.29608i
\(175\) −16.6810 + 6.31367i −1.26097 + 0.477269i
\(176\) −10.2346 + 19.0830i −0.771460 + 1.43844i
\(177\) −7.42176 14.5660i −0.557853 1.09485i
\(178\) 13.5706 + 8.41457i 1.01716 + 0.630698i
\(179\) −19.3838 + 3.07009i −1.44881 + 0.229469i −0.830743 0.556656i \(-0.812084\pi\)
−0.618067 + 0.786125i \(0.712084\pi\)
\(180\) 14.6881 + 5.85613i 1.09479 + 0.436490i
\(181\) 1.80337 + 0.285626i 0.134044 + 0.0212304i 0.223096 0.974797i \(-0.428384\pi\)
−0.0890521 + 0.996027i \(0.528384\pi\)
\(182\) 6.22009 7.20570i 0.461064 0.534122i
\(183\) 17.4481 + 2.76351i 1.28980 + 0.204285i
\(184\) 2.56458 9.98540i 0.189064 0.736133i
\(185\) 15.0966 1.55094i 1.10993 0.114028i
\(186\) 2.42821 9.88487i 0.178045 0.724794i
\(187\) 25.7362 8.36219i 1.88202 0.611504i
\(188\) −0.843449 + 2.50586i −0.0615149 + 0.182759i
\(189\) 4.35356 2.21825i 0.316675 0.161354i
\(190\) 9.04691 12.9512i 0.656332 0.939581i
\(191\) 18.2938 5.94403i 1.32370 0.430095i 0.439933 0.898030i \(-0.355002\pi\)
0.883763 + 0.467935i \(0.155002\pi\)
\(192\) 17.9209 + 9.85548i 1.29333 + 0.711258i
\(193\) −6.28035 6.28035i −0.452070 0.452070i 0.443971 0.896041i \(-0.353569\pi\)
−0.896041 + 0.443971i \(0.853569\pi\)
\(194\) 1.67682 19.9630i 0.120389 1.43326i
\(195\) 5.41520 9.32882i 0.387790 0.668051i
\(196\) −5.30503 + 10.1464i −0.378931 + 0.724743i
\(197\) −9.61060 6.98251i −0.684727 0.497483i 0.190195 0.981746i \(-0.439088\pi\)
−0.874923 + 0.484263i \(0.839088\pi\)
\(198\) 14.0223 + 23.1548i 0.996522 + 1.64554i
\(199\) 2.03702i 0.144400i −0.997390 0.0722002i \(-0.976998\pi\)
0.997390 0.0722002i \(-0.0230021\pi\)
\(200\) −12.8864 + 5.82581i −0.911208 + 0.411947i
\(201\) 3.94316i 0.278129i
\(202\) −6.55673 + 3.97068i −0.461330 + 0.279376i
\(203\) 18.0278 + 13.0979i 1.26530 + 0.919295i
\(204\) −7.64182 24.3892i −0.535035 1.70759i
\(205\) −0.410668 3.99737i −0.0286823 0.279189i
\(206\) −1.72949 0.145272i −0.120500 0.0101216i
\(207\) −9.11302 9.11302i −0.633399 0.633399i
\(208\) 4.56388 6.01149i 0.316448 0.416822i
\(209\) 25.7215 8.35741i 1.77919 0.578094i
\(210\) −8.40064 + 27.5879i −0.579699 + 1.90375i
\(211\) −9.19571 + 4.68545i −0.633059 + 0.322560i −0.740907 0.671608i \(-0.765604\pi\)
0.107848 + 0.994167i \(0.465604\pi\)
\(212\) −23.8954 + 11.8603i −1.64114 + 0.814570i
\(213\) −37.3465 + 12.1346i −2.55894 + 0.831450i
\(214\) 5.84590 + 1.43604i 0.399617 + 0.0981656i
\(215\) 3.08710 14.3580i 0.210538 0.979210i
\(216\) 3.33484 1.97189i 0.226907 0.134170i
\(217\) 9.91918 + 1.57104i 0.673357 + 0.106649i
\(218\) −16.4783 14.2243i −1.11605 0.963394i
\(219\) 16.6950 + 2.64423i 1.12814 + 0.178680i
\(220\) −23.6144 5.33781i −1.59209 0.359875i
\(221\) −9.31592 + 1.47550i −0.626657 + 0.0992527i
\(222\) 12.9309 20.8543i 0.867867 1.39965i
\(223\) 2.69107 + 5.28152i 0.180207 + 0.353677i 0.963385 0.268121i \(-0.0864026\pi\)
−0.783178 + 0.621798i \(0.786403\pi\)
\(224\) −8.20977 + 18.4335i −0.548538 + 1.23164i
\(225\) −1.93037 + 17.5732i −0.128691 + 1.17155i
\(226\) 3.50231 + 3.02326i 0.232970 + 0.201104i
\(227\) −8.17319 + 25.1545i −0.542474 + 1.66956i 0.184448 + 0.982842i \(0.440950\pi\)
−0.726922 + 0.686721i \(0.759050\pi\)
\(228\) −7.63745 24.3752i −0.505803 1.61429i
\(229\) 18.0301 2.85569i 1.19146 0.188709i 0.470955 0.882157i \(-0.343909\pi\)
0.720507 + 0.693448i \(0.243909\pi\)
\(230\) 11.5244 0.214094i 0.759894 0.0141170i
\(231\) −39.9407 + 29.0186i −2.62790 + 1.90928i
\(232\) 14.9175 + 9.46843i 0.979380 + 0.621633i
\(233\) −3.81386 + 24.0798i −0.249854 + 1.57752i 0.469537 + 0.882913i \(0.344421\pi\)
−0.719391 + 0.694605i \(0.755579\pi\)
\(234\) −3.56480 8.73588i −0.233038 0.571083i
\(235\) −2.95166 0.161630i −0.192545 0.0105436i
\(236\) 10.4251 7.40800i 0.678618 0.482220i
\(237\) 14.0294 4.55842i 0.911306 0.296101i
\(238\) 23.3480 9.52748i 1.51342 0.617575i
\(239\) −0.0572342 + 0.176149i −0.00370217 + 0.0113941i −0.952891 0.303314i \(-0.901907\pi\)
0.949188 + 0.314709i \(0.101907\pi\)
\(240\) −5.27583 + 22.2492i −0.340554 + 1.43618i
\(241\) 3.84557 + 11.8354i 0.247715 + 0.762387i 0.995178 + 0.0980844i \(0.0312715\pi\)
−0.747463 + 0.664303i \(0.768728\pi\)
\(242\) −16.7102 19.7748i −1.07417 1.27117i
\(243\) 22.2748i 1.42893i
\(244\) −0.145386 + 13.8193i −0.00930736 + 0.884690i
\(245\) −12.5150 2.69083i −0.799555 0.171911i
\(246\) −5.52193 3.42393i −0.352065 0.218302i
\(247\) −9.31059 + 1.47465i −0.592419 + 0.0938299i
\(248\) 7.92758 + 0.749954i 0.503402 + 0.0476221i
\(249\) −20.9280 −1.32626
\(250\) −10.1201 12.1484i −0.640051 0.768332i
\(251\) 12.9890 12.9890i 0.819860 0.819860i −0.166228 0.986087i \(-0.553159\pi\)
0.986087 + 0.166228i \(0.0531587\pi\)
\(252\) 14.6117 + 20.5628i 0.920451 + 1.29533i
\(253\) 15.9637 + 11.5983i 1.00363 + 0.729178i
\(254\) −0.321852 1.37237i −0.0201948 0.0861104i
\(255\) 24.0015 15.5069i 1.50303 0.971080i
\(256\) −5.58004 + 14.9954i −0.348752 + 0.937215i
\(257\) 2.36073 2.36073i 0.147258 0.147258i −0.629634 0.776892i \(-0.716795\pi\)
0.776892 + 0.629634i \(0.216795\pi\)
\(258\) −15.3265 18.1373i −0.954185 1.12918i
\(259\) 21.5715 + 10.9912i 1.34039 + 0.682963i
\(260\) 7.83849 + 3.12519i 0.486122 + 0.193816i
\(261\) 19.6800 10.0275i 1.21816 0.620685i
\(262\) 4.10468 9.76400i 0.253588 0.603222i
\(263\) −0.247162 + 0.485082i −0.0152406 + 0.0299114i −0.898501 0.438971i \(-0.855343\pi\)
0.883261 + 0.468882i \(0.155343\pi\)
\(264\) −30.1636 + 24.9498i −1.85644 + 1.53556i
\(265\) −19.9052 22.2115i −1.22277 1.36444i
\(266\) 23.3346 9.52203i 1.43074 0.583833i
\(267\) 16.9665 + 23.3524i 1.03834 + 1.42915i
\(268\) 3.05172 0.450488i 0.186413 0.0275180i
\(269\) −2.27877 0.360922i −0.138939 0.0220058i 0.0865775 0.996245i \(-0.472407\pi\)
−0.225517 + 0.974239i \(0.572407\pi\)
\(270\) 3.11919 + 3.00541i 0.189828 + 0.182904i
\(271\) −14.9335 + 20.5542i −0.907144 + 1.24858i 0.0609889 + 0.998138i \(0.480575\pi\)
−0.968133 + 0.250438i \(0.919425\pi\)
\(272\) 18.0024 8.70057i 1.09156 0.527550i
\(273\) 15.3323 7.81219i 0.927952 0.472815i
\(274\) 6.67849 + 5.76500i 0.403463 + 0.348277i
\(275\) −1.28986 27.0371i −0.0777814 1.63040i
\(276\) 11.1124 14.9614i 0.668889 0.900569i
\(277\) 1.58060 4.86460i 0.0949692 0.292285i −0.892276 0.451490i \(-0.850893\pi\)
0.987246 + 0.159204i \(0.0508928\pi\)
\(278\) 0.413995 + 1.76527i 0.0248298 + 0.105874i
\(279\) 5.85106 8.05329i 0.350294 0.482138i
\(280\) −22.3108 3.34968i −1.33332 0.200182i
\(281\) 17.3067 + 23.8206i 1.03243 + 1.42102i 0.903106 + 0.429418i \(0.141281\pi\)
0.129325 + 0.991602i \(0.458719\pi\)
\(282\) −3.12320 + 3.61809i −0.185984 + 0.215454i
\(283\) −21.7160 + 15.7776i −1.29088 + 0.937883i −0.999823 0.0188214i \(-0.994009\pi\)
−0.291062 + 0.956704i \(0.594009\pi\)
\(284\) −13.6580 27.5172i −0.810452 1.63284i
\(285\) 23.9878 15.4980i 1.42092 0.918024i
\(286\) 7.48317 + 12.3568i 0.442489 + 0.730676i
\(287\) 2.91033 5.71184i 0.171791 0.337159i
\(288\) 12.5854 + 15.5455i 0.741603 + 0.916029i
\(289\) −7.59579 2.46802i −0.446811 0.145178i
\(290\) −5.75436 + 18.8975i −0.337908 + 1.10970i
\(291\) 16.4412 32.2676i 0.963800 1.89156i
\(292\) −0.139110 + 13.2228i −0.00814081 + 0.773807i
\(293\) 5.01190i 0.292798i 0.989226 + 0.146399i \(0.0467684\pi\)
−0.989226 + 0.146399i \(0.953232\pi\)
\(294\) −15.8092 + 13.3592i −0.922011 + 0.779121i
\(295\) 11.0910 + 9.02448i 0.645745 + 0.525426i
\(296\) 17.6170 + 7.62508i 1.02397 + 0.443199i
\(297\) 1.15999 + 7.32388i 0.0673094 + 0.424975i
\(298\) 0.336413 + 0.555514i 0.0194879 + 0.0321801i
\(299\) −4.86327 4.86327i −0.281250 0.281250i
\(300\) −25.5475 + 0.949549i −1.47499 + 0.0548222i
\(301\) 16.5666 16.5666i 0.954884 0.954884i
\(302\) 7.07032 28.7822i 0.406851 1.65623i
\(303\) −13.6862 + 2.16769i −0.786253 + 0.124530i
\(304\) 17.9921 8.69560i 1.03192 0.498727i
\(305\) −14.9342 + 3.96409i −0.855127 + 0.226983i
\(306\) 2.09214 24.9074i 0.119599 1.42386i
\(307\) 17.0472 0.972934 0.486467 0.873699i \(-0.338285\pi\)
0.486467 + 0.873699i \(0.338285\pi\)
\(308\) −27.0213 27.5959i −1.53968 1.57242i
\(309\) −2.79551 1.42438i −0.159031 0.0810303i
\(310\) 1.55581 + 8.76588i 0.0883638 + 0.497869i
\(311\) −5.21806 + 16.0596i −0.295889 + 0.910654i 0.687032 + 0.726627i \(0.258913\pi\)
−0.982921 + 0.184026i \(0.941087\pi\)
\(312\) 11.7446 6.94457i 0.664905 0.393159i
\(313\) −17.2377 8.78304i −0.974331 0.496447i −0.107044 0.994254i \(-0.534139\pi\)
−0.867287 + 0.497808i \(0.834139\pi\)
\(314\) 12.5379 + 3.07992i 0.707554 + 0.173810i
\(315\) −17.8001 + 21.8762i −1.00292 + 1.23258i
\(316\) 5.13068 + 10.3369i 0.288623 + 0.581498i
\(317\) −9.74864 13.4179i −0.547538 0.753622i 0.442137 0.896947i \(-0.354220\pi\)
−0.989676 + 0.143326i \(0.954220\pi\)
\(318\) −48.0952 + 3.53073i −2.69704 + 0.197993i
\(319\) −27.3590 + 19.8775i −1.53181 + 1.11293i
\(320\) −17.8220 1.54124i −0.996282 0.0861577i
\(321\) 8.80371 + 6.39627i 0.491375 + 0.357005i
\(322\) 15.6275 + 9.68998i 0.870887 + 0.540002i
\(323\) −23.7502 7.71689i −1.32149 0.429379i
\(324\) −14.0588 + 2.07534i −0.781046 + 0.115296i
\(325\) −1.03017 + 9.37815i −0.0571433 + 0.520206i
\(326\) −1.84717 25.1620i −0.102305 1.39359i
\(327\) −17.8652 35.0624i −0.987948 1.93896i
\(328\) 2.01901 4.66474i 0.111481 0.257567i
\(329\) −3.81518 2.77189i −0.210337 0.152819i
\(330\) −35.8788 25.0626i −1.97506 1.37965i
\(331\) 3.02227 19.0819i 0.166119 1.04884i −0.753908 0.656980i \(-0.771833\pi\)
0.920027 0.391855i \(-0.128167\pi\)
\(332\) −2.39093 16.1967i −0.131219 0.888910i
\(333\) 19.4141 14.1052i 1.06389 0.772960i
\(334\) −10.9456 4.60143i −0.598919 0.251779i
\(335\) 1.39540 + 3.15400i 0.0762390 + 0.172322i
\(336\) −26.3310 + 25.2456i −1.43647 + 1.37726i
\(337\) 1.30579 + 0.665332i 0.0711308 + 0.0362429i 0.489194 0.872175i \(-0.337291\pi\)
−0.418063 + 0.908418i \(0.637291\pi\)
\(338\) 5.04371 + 12.3601i 0.274342 + 0.672300i
\(339\) 3.79709 + 7.45221i 0.206230 + 0.404748i
\(340\) 14.7433 + 16.8038i 0.799567 + 0.911317i
\(341\) −6.91928 + 13.5798i −0.374700 + 0.735390i
\(342\) 2.09094 24.8931i 0.113065 1.34607i
\(343\) 3.21656 + 3.21656i 0.173678 + 0.173678i
\(344\) 12.2860 13.9337i 0.662416 0.751255i
\(345\) 19.4350 + 7.51273i 1.04635 + 0.404472i
\(346\) 6.84021 + 4.24134i 0.367732 + 0.228016i
\(347\) −5.33416 + 7.34184i −0.286353 + 0.394130i −0.927825 0.373016i \(-0.878324\pi\)
0.641473 + 0.767146i \(0.278324\pi\)
\(348\) 18.5011 + 26.0362i 0.991764 + 1.39569i
\(349\) −5.73424 5.73424i −0.306947 0.306947i 0.536777 0.843724i \(-0.319642\pi\)
−0.843724 + 0.536777i \(0.819642\pi\)
\(350\) −3.04340 25.0395i −0.162677 1.33842i
\(351\) 2.58458i 0.137955i
\(352\) −22.7554 20.4940i −1.21287 1.09234i
\(353\) −1.77560 11.2107i −0.0945058 0.596686i −0.988805 0.149216i \(-0.952325\pi\)
0.894299 0.447470i \(-0.147675\pi\)
\(354\) 22.5086 5.27877i 1.19632 0.280564i
\(355\) 25.5781 22.9223i 1.35754 1.21659i
\(356\) −16.1347 + 15.7988i −0.855139 + 0.837334i
\(357\) 45.5857 2.41265
\(358\) 2.32310 27.6571i 0.122780 1.46172i
\(359\) 14.4807 4.70507i 0.764263 0.248324i 0.0991555 0.995072i \(-0.468386\pi\)
0.665107 + 0.746748i \(0.268386\pi\)
\(360\) −12.9980 + 18.1967i −0.685057 + 0.959052i
\(361\) −5.66650 1.84116i −0.298237 0.0969030i
\(362\) −1.00068 + 2.38036i −0.0525945 + 0.125109i
\(363\) −14.4624 44.5108i −0.759081 2.33621i
\(364\) 7.79771 + 10.9736i 0.408711 + 0.575171i
\(365\) −14.2895 + 3.79299i −0.747949 + 0.198534i
\(366\) −9.68184 + 23.0306i −0.506078 + 1.20383i
\(367\) −11.0889 1.75632i −0.578838 0.0916790i −0.139851 0.990172i \(-0.544663\pi\)
−0.438987 + 0.898494i \(0.644663\pi\)
\(368\) 12.8486 + 6.89093i 0.669778 + 0.359215i
\(369\) −3.73486 5.14059i −0.194429 0.267608i
\(370\) −2.96311 + 21.2567i −0.154045 + 1.10508i
\(371\) −7.44325 46.9948i −0.386434 2.43985i
\(372\) 12.7565 + 6.66972i 0.661394 + 0.345809i
\(373\) 16.0468 + 5.21391i 0.830869 + 0.269966i 0.693412 0.720542i \(-0.256107\pi\)
0.137458 + 0.990508i \(0.456107\pi\)
\(374\) 2.80187 + 38.1668i 0.144881 + 1.97356i
\(375\) −8.64114 27.2452i −0.446226 1.40694i
\(376\) −3.15695 2.00378i −0.162807 0.103337i
\(377\) 10.5025 5.35128i 0.540905 0.275605i
\(378\) 1.57774 + 6.72747i 0.0811504 + 0.346024i
\(379\) −2.25437 14.2335i −0.115799 0.731126i −0.975446 0.220238i \(-0.929317\pi\)
0.859647 0.510888i \(-0.170683\pi\)
\(380\) 14.7348 + 16.7942i 0.755882 + 0.861526i
\(381\) 0.398625 2.51682i 0.0204222 0.128941i
\(382\) 1.99163 + 27.1298i 0.101901 + 1.38808i
\(383\) −2.95097 + 18.6317i −0.150787 + 0.952034i 0.790017 + 0.613085i \(0.210072\pi\)
−0.940805 + 0.338950i \(0.889928\pi\)
\(384\) −19.5813 + 21.2874i −0.999256 + 1.08632i
\(385\) 21.6782 37.3452i 1.10482 1.90329i
\(386\) 10.7441 6.50652i 0.546862 0.331173i
\(387\) −7.17615 22.0859i −0.364784 1.12269i
\(388\) 26.8511 + 9.03785i 1.36316 + 0.458827i
\(389\) 8.68735 + 17.0499i 0.440466 + 0.864463i 0.999379 + 0.0352367i \(0.0112185\pi\)
−0.558913 + 0.829226i \(0.688781\pi\)
\(390\) 10.9851 + 10.5844i 0.556253 + 0.535962i
\(391\) −5.63026 17.3282i −0.284734 0.876322i
\(392\) −12.1451 10.7089i −0.613422 0.540883i
\(393\) 13.5389 13.5389i 0.682949 0.682949i
\(394\) 12.8320 10.8433i 0.646467 0.546280i
\(395\) −9.60852 + 8.61085i −0.483457 + 0.433259i
\(396\) −36.5312 + 11.4462i −1.83576 + 0.575195i
\(397\) −9.37117 + 12.8983i −0.470326 + 0.647348i −0.976610 0.215019i \(-0.931019\pi\)
0.506284 + 0.862367i \(0.331019\pi\)
\(398\) 2.79761 + 0.687230i 0.140231 + 0.0344477i
\(399\) 45.5596 2.28083
\(400\) −3.65357 19.6635i −0.182679 0.983173i
\(401\) −15.7042 −0.784230 −0.392115 0.919916i \(-0.628256\pi\)
−0.392115 + 0.919916i \(0.628256\pi\)
\(402\) 5.41547 + 1.33030i 0.270099 + 0.0663495i
\(403\) 3.12249 4.29773i 0.155542 0.214085i
\(404\) −3.24122 10.3445i −0.161257 0.514658i
\(405\) −6.42842 14.5300i −0.319431 0.722004i
\(406\) −24.0705 + 20.3402i −1.19460 + 1.00947i
\(407\) −25.9802 + 25.9802i −1.28779 + 1.28779i
\(408\) 36.0738 2.26696i 1.78592 0.112231i
\(409\) −2.69006 8.27917i −0.133015 0.409378i 0.862261 0.506464i \(-0.169048\pi\)
−0.995276 + 0.0970860i \(0.969048\pi\)
\(410\) 5.62847 + 0.784591i 0.277970 + 0.0387482i
\(411\) 7.24061 + 14.2105i 0.357153 + 0.700952i
\(412\) 0.782994 2.32625i 0.0385753 0.114606i
\(413\) 7.04886 + 21.6942i 0.346852 + 1.06750i
\(414\) 15.5901 9.44120i 0.766213 0.464010i
\(415\) 16.7396 7.40597i 0.821715 0.363545i
\(416\) 6.71636 + 8.29605i 0.329297 + 0.406747i
\(417\) −0.512747 + 3.23736i −0.0251093 + 0.158534i
\(418\) 2.80027 + 38.1450i 0.136966 + 1.86573i
\(419\) −2.43440 + 15.3702i −0.118928 + 0.750884i 0.854085 + 0.520134i \(0.174118\pi\)
−0.973013 + 0.230750i \(0.925882\pi\)
\(420\) −35.0547 20.8446i −1.71049 1.01711i
\(421\) −0.948114 5.98615i −0.0462082 0.291747i 0.953753 0.300593i \(-0.0971844\pi\)
−0.999961 + 0.00884526i \(0.997184\pi\)
\(422\) −3.33256 14.2100i −0.162226 0.691730i
\(423\) −4.16484 + 2.12209i −0.202501 + 0.103180i
\(424\) −8.22719 36.8188i −0.399547 1.78808i
\(425\) −13.7105 + 20.8971i −0.665056 + 1.01366i
\(426\) −4.06588 55.3849i −0.196992 2.68341i
\(427\) −23.4429 7.61707i −1.13448 0.368616i
\(428\) −3.94446 + 7.54418i −0.190663 + 0.364662i
\(429\) 4.08523 + 25.7931i 0.197237 + 1.24530i
\(430\) 18.6776 + 9.08374i 0.900714 + 0.438057i
\(431\) −3.93095 5.41049i −0.189347 0.260614i 0.703780 0.710418i \(-0.251494\pi\)
−0.893127 + 0.449804i \(0.851494\pi\)
\(432\) 1.58309 + 5.24526i 0.0761664 + 0.252363i
\(433\) −6.94292 1.09965i −0.333655 0.0528458i −0.0126409 0.999920i \(-0.504024\pi\)
−0.321014 + 0.947074i \(0.604024\pi\)
\(434\) −5.50408 + 13.0928i −0.264204 + 0.628475i
\(435\) −22.5382 + 27.6993i −1.08062 + 1.32808i
\(436\) 25.0947 17.8321i 1.20182 0.854002i
\(437\) −5.62704 17.3182i −0.269178 0.828444i
\(438\) −9.26394 + 22.0366i −0.442648 + 1.05295i
\(439\) 12.4104 + 4.03239i 0.592317 + 0.192456i 0.589811 0.807541i \(-0.299202\pi\)
0.00250636 + 0.999997i \(0.499202\pi\)
\(440\) 15.2977 30.6309i 0.729288 1.46027i
\(441\) −19.2509 + 6.25500i −0.916711 + 0.297857i
\(442\) 1.11649 13.2921i 0.0531061 0.632242i
\(443\) −17.1887 −0.816661 −0.408330 0.912834i \(-0.633889\pi\)
−0.408330 + 0.912834i \(0.633889\pi\)
\(444\) 24.2785 + 24.7947i 1.15221 + 1.17671i
\(445\) −21.8349 12.6748i −1.03508 0.600841i
\(446\) −8.16144 + 1.91404i −0.386455 + 0.0906325i
\(447\) 0.183656 + 1.15956i 0.00868661 + 0.0548451i
\(448\) −22.5465 17.4941i −1.06522 0.826517i
\(449\) 32.8074i 1.54828i 0.633017 + 0.774138i \(0.281816\pi\)
−0.633017 + 0.774138i \(0.718184\pi\)
\(450\) −23.4835 8.57982i −1.10702 0.404457i
\(451\) 6.87920 + 6.87920i 0.323929 + 0.323929i
\(452\) −5.33367 + 3.79005i −0.250875 + 0.178269i
\(453\) 31.4920 43.3450i 1.47962 2.03653i
\(454\) −31.7894 19.7113i −1.49195 0.925097i
\(455\) −9.49922 + 11.6745i −0.445330 + 0.547309i
\(456\) 36.0532 2.26566i 1.68835 0.106099i
\(457\) 5.34454 + 5.34454i 0.250007 + 0.250007i 0.820973 0.570966i \(-0.193431\pi\)
−0.570966 + 0.820973i \(0.693431\pi\)
\(458\) −2.16087 + 25.7257i −0.100971 + 1.20208i
\(459\) 3.10841 6.10061i 0.145088 0.284752i
\(460\) −3.59394 + 15.8996i −0.167568 + 0.741322i
\(461\) −11.8845 23.3246i −0.553515 1.08633i −0.983059 0.183288i \(-0.941326\pi\)
0.429544 0.903046i \(-0.358674\pi\)
\(462\) −26.3789 64.6439i −1.22726 3.00750i
\(463\) 32.9097 + 16.7683i 1.52944 + 0.779290i 0.997711 0.0676221i \(-0.0215412\pi\)
0.531732 + 0.846912i \(0.321541\pi\)
\(464\) −18.0365 + 17.2930i −0.837323 + 0.802809i
\(465\) −3.38303 + 15.7344i −0.156884 + 0.729666i
\(466\) −31.7841 13.3617i −1.47237 0.618968i
\(467\) −25.1037 + 18.2389i −1.16166 + 0.843995i −0.989987 0.141159i \(-0.954917\pi\)
−0.171673 + 0.985154i \(0.554917\pi\)
\(468\) 13.2004 1.94861i 0.610187 0.0900746i
\(469\) −0.860702 + 5.43426i −0.0397435 + 0.250931i
\(470\) 1.21778 3.99923i 0.0561721 0.184471i
\(471\) 18.8816 + 13.7183i 0.870019 + 0.632106i
\(472\) 6.65689 + 16.8169i 0.306408 + 0.774063i
\(473\) 16.1419 + 31.6802i 0.742204 + 1.45666i
\(474\) 1.52736 + 20.8056i 0.0701542 + 0.955633i
\(475\) −13.7026 + 20.8852i −0.628720 + 0.958277i
\(476\) 5.20796 + 35.2800i 0.238707 + 1.61706i
\(477\) −44.8535 14.5738i −2.05370 0.667288i
\(478\) −0.222611 0.138032i −0.0101820 0.00631343i
\(479\) 15.5166 + 11.2735i 0.708971 + 0.515098i 0.882842 0.469671i \(-0.155627\pi\)
−0.173870 + 0.984769i \(0.555627\pi\)
\(480\) −28.7768 14.7520i −1.31348 0.673332i
\(481\) 10.3606 7.52740i 0.472402 0.343220i
\(482\) −17.5520 + 1.28851i −0.799470 + 0.0586901i
\(483\) 19.5382 + 26.8920i 0.889019 + 1.22363i
\(484\) 32.7959 16.2780i 1.49072 0.739911i
\(485\) −1.73192 + 31.6281i −0.0786425 + 1.43616i
\(486\) −30.5918 7.51485i −1.38767 0.340880i
\(487\) 16.5121 + 8.41333i 0.748234 + 0.381244i 0.786149 0.618037i \(-0.212072\pi\)
−0.0379150 + 0.999281i \(0.512072\pi\)
\(488\) −18.9302 4.86189i −0.856928 0.220088i
\(489\) 14.0938 43.3763i 0.637344 1.96154i
\(490\) 7.91774 16.2801i 0.357687 0.735460i
\(491\) −35.0080 17.8375i −1.57989 0.804995i −0.579938 0.814661i \(-0.696923\pi\)
−0.999953 + 0.00966614i \(0.996923\pi\)
\(492\) 6.56530 6.42860i 0.295986 0.289823i
\(493\) 31.2258 1.40634
\(494\) 1.11585 13.2845i 0.0502046 0.597699i
\(495\) −23.2269 35.9505i −1.04397 1.61586i
\(496\) −3.70450 + 10.6346i −0.166337 + 0.477507i
\(497\) 54.1178 8.57142i 2.42752 0.384481i
\(498\) 7.06047 28.7421i 0.316387 1.28796i
\(499\) −9.92047 + 9.92047i −0.444101 + 0.444101i −0.893388 0.449287i \(-0.851678\pi\)
0.449287 + 0.893388i \(0.351678\pi\)
\(500\) 20.0986 9.80026i 0.898838 0.438281i
\(501\) −15.1774 15.1774i −0.678077 0.678077i
\(502\) 13.4568 + 22.2210i 0.600606 + 0.991772i
\(503\) −3.14783 19.8746i −0.140355 0.886166i −0.952904 0.303273i \(-0.901921\pi\)
0.812549 0.582893i \(-0.198079\pi\)
\(504\) −33.1701 + 13.1302i −1.47751 + 0.584866i
\(505\) 10.1801 6.57714i 0.453008 0.292679i
\(506\) −21.3146 + 18.0113i −0.947548 + 0.800701i
\(507\) 24.1324i 1.07176i
\(508\) 1.99338 + 0.0209713i 0.0884418 + 0.000930450i
\(509\) −18.8888 + 37.0714i −0.837232 + 1.64316i −0.0737986 + 0.997273i \(0.523512\pi\)
−0.763433 + 0.645887i \(0.776488\pi\)
\(510\) 13.1995 + 38.1949i 0.584484 + 1.69130i
\(511\) −22.4310 7.28829i −0.992291 0.322415i
\(512\) −18.7119 12.7225i −0.826959 0.562262i
\(513\) 3.10664 6.09712i 0.137161 0.269194i
\(514\) 2.44575 + 4.03863i 0.107877 + 0.178136i
\(515\) 2.74010 + 0.150045i 0.120743 + 0.00661177i
\(516\) 30.0802 14.9301i 1.32421 0.657263i
\(517\) 5.78992 4.20663i 0.254641 0.185007i
\(518\) −22.3728 + 25.9179i −0.983003 + 1.13877i
\(519\) 8.55193 + 11.7707i 0.375388 + 0.516677i
\(520\) −6.93656 + 9.71090i −0.304188 + 0.425851i
\(521\) 16.5121 22.7270i 0.723410 0.995688i −0.275994 0.961159i \(-0.589007\pi\)
0.999404 0.0345288i \(-0.0109930\pi\)
\(522\) 7.13211 + 30.4112i 0.312164 + 1.33106i
\(523\) 1.87432 5.76857i 0.0819584 0.252242i −0.901678 0.432409i \(-0.857664\pi\)
0.983636 + 0.180167i \(0.0576637\pi\)
\(524\) 12.0249 + 8.93139i 0.525311 + 0.390170i
\(525\) 12.0080 43.9883i 0.524071 1.91981i
\(526\) −0.582818 0.503100i −0.0254121 0.0219362i
\(527\) 12.5391 6.38898i 0.546211 0.278308i
\(528\) −24.0894 49.8435i −1.04836 2.16916i
\(529\) −5.70994 + 7.85906i −0.248258 + 0.341698i
\(530\) 37.2203 19.8440i 1.61675 0.861969i
\(531\) 22.3314 + 3.53695i 0.969102 + 0.153491i
\(532\) 5.20498 + 35.2598i 0.225665 + 1.52871i
\(533\) −1.99315 2.74333i −0.0863329 0.118827i
\(534\) −37.7958 + 15.4231i −1.63559 + 0.667424i
\(535\) −9.30532 2.00072i −0.402304 0.0864986i
\(536\) −0.410865 + 4.34316i −0.0177467 + 0.187596i
\(537\) 22.7779 44.7041i 0.982939 1.92913i
\(538\) 1.26447 3.00786i 0.0545153 0.129678i
\(539\) 27.6137 14.0699i 1.18940 0.606032i
\(540\) −5.17990 + 3.26991i −0.222908 + 0.140714i
\(541\) 23.3116 + 11.8779i 1.00224 + 0.510669i 0.876504 0.481394i \(-0.159869\pi\)
0.125741 + 0.992063i \(0.459869\pi\)
\(542\) −23.1906 27.4437i −0.996123 1.17881i
\(543\) −3.30065 + 3.30065i −0.141644 + 0.141644i
\(544\) 5.87574 + 27.6595i 0.251920 + 1.18589i
\(545\) 26.6977 + 21.7232i 1.14360 + 0.930519i
\(546\) 5.55647 + 23.6927i 0.237795 + 1.01395i
\(547\) −23.2974 16.9266i −0.996127 0.723728i −0.0348724 0.999392i \(-0.511102\pi\)
−0.961254 + 0.275663i \(0.911102\pi\)
\(548\) −10.1707 + 7.22719i −0.434470 + 0.308730i
\(549\) −17.2763 + 17.2763i −0.737335 + 0.737335i
\(550\) 37.5674 + 7.35004i 1.60188 + 0.313407i
\(551\) 31.2079 1.32950
\(552\) 16.7987 + 20.3091i 0.715001 + 0.864414i
\(553\) −20.3296 + 3.21989i −0.864502 + 0.136924i
\(554\) 6.14771 + 3.81194i 0.261191 + 0.161954i
\(555\) −19.4777 + 33.5544i −0.826782 + 1.42431i
\(556\) −2.56406 0.0269751i −0.108740 0.00114400i
\(557\) 9.74199i 0.412781i −0.978470 0.206391i \(-0.933828\pi\)
0.978470 0.206391i \(-0.0661718\pi\)
\(558\) 9.08628 + 10.7527i 0.384653 + 0.455198i
\(559\) −3.82964 11.7864i −0.161976 0.498512i
\(560\) 12.1274 29.5112i 0.512476 1.24707i
\(561\) −21.3781 + 65.7950i −0.902584 + 2.77787i
\(562\) −38.5536 + 15.7324i −1.62629 + 0.663630i
\(563\) 23.9741 7.78966i 1.01039 0.328295i 0.243379 0.969931i \(-0.421744\pi\)
0.767009 + 0.641636i \(0.221744\pi\)
\(564\) −3.91535 5.50999i −0.164866 0.232013i
\(565\) −5.67435 4.61707i −0.238722 0.194242i
\(566\) −14.3424 35.1474i −0.602855 1.47735i
\(567\) 3.96513 25.0349i 0.166520 1.05137i
\(568\) 42.3994 9.47418i 1.77904 0.397528i
\(569\) −21.5389 + 15.6489i −0.902957 + 0.656037i −0.939224 0.343306i \(-0.888453\pi\)
0.0362669 + 0.999342i \(0.488453\pi\)
\(570\) 13.1920 + 38.1730i 0.552550 + 1.59889i
\(571\) −13.1961 + 2.09006i −0.552241 + 0.0874664i −0.426317 0.904574i \(-0.640189\pi\)
−0.125923 + 0.992040i \(0.540189\pi\)
\(572\) −19.4953 + 6.10842i −0.815139 + 0.255406i
\(573\) −15.1960 + 46.7685i −0.634823 + 1.95378i
\(574\) 6.86268 + 5.92400i 0.286443 + 0.247263i
\(575\) −18.2040 + 0.868461i −0.759161 + 0.0362173i
\(576\) −25.5959 + 12.0400i −1.06650 + 0.501667i
\(577\) −17.0278 33.4190i −0.708877 1.39125i −0.911214 0.411934i \(-0.864853\pi\)
0.202336 0.979316i \(-0.435147\pi\)
\(578\) 5.95213 9.59929i 0.247576 0.399278i
\(579\) 22.4268 3.55206i 0.932027 0.147619i
\(580\) −24.0121 14.2784i −0.997050 0.592878i
\(581\) 28.8419 + 4.56810i 1.19656 + 0.189517i
\(582\) 38.7691 + 33.4662i 1.60703 + 1.38722i
\(583\) 71.3195 + 11.2959i 2.95375 + 0.467828i
\(584\) −18.1131 4.65204i −0.749524 0.192503i
\(585\) 6.03589 + 13.6428i 0.249553 + 0.564061i
\(586\) −6.88326 1.69087i −0.284345 0.0698490i
\(587\) 38.9538 12.6569i 1.60780 0.522405i 0.638778 0.769391i \(-0.279440\pi\)
0.969019 + 0.246986i \(0.0794403\pi\)
\(588\) −13.0137 26.2191i −0.536675 1.08126i
\(589\) 12.5319 6.38532i 0.516368 0.263103i
\(590\) −16.1359 + 12.1877i −0.664303 + 0.501758i
\(591\) 28.8834 9.38478i 1.18810 0.386038i
\(592\) −16.4156 + 21.6225i −0.674678 + 0.888677i
\(593\) 14.5376 + 14.5376i 0.596988 + 0.596988i 0.939510 0.342522i \(-0.111281\pi\)
−0.342522 + 0.939510i \(0.611281\pi\)
\(594\) −10.4498 0.877751i −0.428762 0.0360146i
\(595\) −36.4625 + 16.1318i −1.49482 + 0.661341i
\(596\) −0.876430 + 0.274610i −0.0359000 + 0.0112485i
\(597\) 4.21310 + 3.06099i 0.172431 + 0.125278i
\(598\) 8.31985 5.03841i 0.340224 0.206036i
\(599\) 14.1843i 0.579557i −0.957094 0.289778i \(-0.906418\pi\)
0.957094 0.289778i \(-0.0935816\pi\)
\(600\) 7.31489 35.4069i 0.298629 1.44548i
\(601\) 30.4286i 1.24121i 0.784125 + 0.620603i \(0.213112\pi\)
−0.784125 + 0.620603i \(0.786888\pi\)
\(602\) 17.1632 + 28.3414i 0.699521 + 1.15511i
\(603\) 4.41203 + 3.20553i 0.179672 + 0.130539i
\(604\) 37.1437 + 19.4205i 1.51136 + 0.790210i
\(605\) 27.3195 + 30.4848i 1.11070 + 1.23938i
\(606\) 1.64026 19.5278i 0.0666312 0.793261i
\(607\) −1.63044 1.63044i −0.0661776 0.0661776i 0.673243 0.739421i \(-0.264901\pi\)
−0.739421 + 0.673243i \(0.764901\pi\)
\(608\) 5.87238 + 27.6437i 0.238156 + 1.12110i
\(609\) −54.1801 + 17.6042i −2.19549 + 0.713357i
\(610\) −0.405876 21.8477i −0.0164334 0.884587i
\(611\) −2.22261 + 1.13248i −0.0899174 + 0.0458152i
\(612\) 33.5016 + 11.2763i 1.35422 + 0.455818i
\(613\) −10.5518 + 3.42849i −0.426183 + 0.138475i −0.514252 0.857639i \(-0.671930\pi\)
0.0880688 + 0.996114i \(0.471930\pi\)
\(614\) −5.75121 + 23.4123i −0.232100 + 0.944844i
\(615\) 8.88473 + 5.15742i 0.358267 + 0.207967i
\(616\) 47.0160 27.8006i 1.89433 1.12012i
\(617\) 22.5060 + 3.56460i 0.906058 + 0.143505i 0.592037 0.805911i \(-0.298324\pi\)
0.314021 + 0.949416i \(0.398324\pi\)
\(618\) 2.89934 3.35876i 0.116629 0.135109i
\(619\) −8.91437 1.41190i −0.358299 0.0567489i −0.0253097 0.999680i \(-0.508057\pi\)
−0.332989 + 0.942931i \(0.608057\pi\)
\(620\) −12.5638 0.820631i −0.504574 0.0329573i
\(621\) 4.93116 0.781020i 0.197881 0.0313412i
\(622\) −20.2955 12.5844i −0.813775 0.504589i
\(623\) −18.2851 35.8866i −0.732578 1.43776i
\(624\) 5.57529 + 18.4727i 0.223190 + 0.739499i
\(625\) 16.5533 + 18.7347i 0.662132 + 0.749387i
\(626\) 17.8780 20.7108i 0.714547 0.827770i
\(627\) −21.3659 + 65.7574i −0.853271 + 2.62610i
\(628\) −8.45983 + 16.1803i −0.337584 + 0.645663i
\(629\) 33.5080 5.30715i 1.33605 0.211610i
\(630\) −24.0392 31.8267i −0.957744 1.26801i
\(631\) 6.71806 4.88096i 0.267442 0.194308i −0.445979 0.895043i \(-0.647145\pi\)
0.713421 + 0.700735i \(0.247145\pi\)
\(632\) −15.9275 + 3.55902i −0.633563 + 0.141570i
\(633\) 4.12749 26.0599i 0.164053 1.03579i
\(634\) 21.7168 8.86183i 0.862483 0.351948i
\(635\) 0.571804 + 2.15419i 0.0226913 + 0.0854864i
\(636\) 11.3768 67.2443i 0.451121 2.66641i
\(637\) −10.2735 + 3.33806i −0.407050 + 0.132259i
\(638\) −18.0693 44.2805i −0.715370 1.75308i
\(639\) 16.7827 51.6520i 0.663915 2.04332i
\(640\) 8.12933 23.9565i 0.321340 0.946964i
\(641\) 8.27858 + 25.4789i 0.326984 + 1.00635i 0.970537 + 0.240952i \(0.0774598\pi\)
−0.643553 + 0.765402i \(0.722540\pi\)
\(642\) −11.7546 + 9.93296i −0.463919 + 0.392023i
\(643\) 41.3740i 1.63163i −0.578312 0.815816i \(-0.696288\pi\)
0.578312 0.815816i \(-0.303712\pi\)
\(644\) −18.5803 + 18.1934i −0.732167 + 0.716922i
\(645\) 25.0573 + 27.9605i 0.986631 + 1.10094i
\(646\) 18.6108 30.0146i 0.732234 1.18091i
\(647\) −6.68889 + 1.05942i −0.262968 + 0.0416500i −0.286526 0.958073i \(-0.592500\pi\)
0.0235584 + 0.999722i \(0.492500\pi\)
\(648\) 1.89280 20.0083i 0.0743561 0.786000i
\(649\) −34.6174 −1.35885
\(650\) −12.5322 4.57872i −0.491555 0.179592i
\(651\) −18.1547 + 18.1547i −0.711539 + 0.711539i
\(652\) 35.1802 + 5.95203i 1.37776 + 0.233099i
\(653\) −26.3421 19.1387i −1.03085 0.748954i −0.0623693 0.998053i \(-0.519866\pi\)
−0.968478 + 0.249099i \(0.919866\pi\)
\(654\) 54.1813 12.7067i 2.11866 0.496873i
\(655\) −6.03821 + 15.6205i −0.235932 + 0.610344i
\(656\) 5.72532 + 4.34662i 0.223536 + 0.169707i
\(657\) −16.5306 + 16.5306i −0.644920 + 0.644920i
\(658\) 5.09399 4.30455i 0.198584 0.167809i
\(659\) 2.21346 + 1.12782i 0.0862243 + 0.0439335i 0.496571 0.867996i \(-0.334592\pi\)
−0.410347 + 0.911930i \(0.634592\pi\)
\(660\) 46.5251 40.8199i 1.81099 1.58891i
\(661\) 40.4287 20.5994i 1.57249 0.801225i 0.572665 0.819789i \(-0.305910\pi\)
0.999828 + 0.0185643i \(0.00590955\pi\)
\(662\) 25.1871 + 10.5884i 0.978925 + 0.411530i
\(663\) 10.9472 21.4850i 0.425153 0.834409i
\(664\) 23.0509 + 2.18063i 0.894549 + 0.0846249i
\(665\) −36.4417 + 16.1226i −1.41315 + 0.625208i
\(666\) 12.8221 + 31.4217i 0.496846 + 1.21757i
\(667\) 13.3835 + 18.4208i 0.518211 + 0.713256i
\(668\) 10.0123 13.4802i 0.387386 0.521563i
\(669\) −14.9674 2.37061i −0.578674 0.0916529i
\(670\) −4.80242 + 0.852354i −0.185534 + 0.0329293i
\(671\) 21.9878 30.2637i 0.848831 1.16832i
\(672\) −25.7887 44.6797i −0.994819 1.72356i
\(673\) 30.4494 15.5148i 1.17374 0.598050i 0.245269 0.969455i \(-0.421124\pi\)
0.928471 + 0.371405i \(0.121124\pi\)
\(674\) −1.35429 + 1.56888i −0.0521653 + 0.0604311i
\(675\) −5.06803 4.60649i −0.195069 0.177304i
\(676\) −18.6767 + 2.75702i −0.718336 + 0.106039i
\(677\) −15.0007 + 46.1673i −0.576522 + 1.77435i 0.0544132 + 0.998519i \(0.482671\pi\)
−0.630936 + 0.775835i \(0.717329\pi\)
\(678\) −11.5158 + 2.70071i −0.442260 + 0.103720i
\(679\) −29.7017 + 40.8809i −1.13985 + 1.56887i
\(680\) −28.0521 + 14.5791i −1.07575 + 0.559081i
\(681\) −39.7445 54.7036i −1.52301 2.09625i
\(682\) −16.3160 14.0843i −0.624771 0.539314i
\(683\) −30.0456 + 21.8294i −1.14966 + 0.835278i −0.988436 0.151639i \(-0.951545\pi\)
−0.161226 + 0.986917i \(0.551545\pi\)
\(684\) 33.4824 + 11.2699i 1.28023 + 0.430914i
\(685\) −10.8203 8.80422i −0.413424 0.336392i
\(686\) −5.50274 + 3.33240i −0.210096 + 0.127232i
\(687\) −21.1872 + 41.5822i −0.808342 + 1.58646i
\(688\) 14.9914 + 21.5742i 0.571541 + 0.822508i
\(689\) −23.9366 7.77748i −0.911912 0.296298i
\(690\) −16.8747 + 24.1572i −0.642407 + 0.919647i
\(691\) −10.5193 + 20.6453i −0.400173 + 0.785384i −0.999890 0.0148283i \(-0.995280\pi\)
0.599717 + 0.800212i \(0.295280\pi\)
\(692\) −8.13266 + 7.96332i −0.309157 + 0.302720i
\(693\) 68.2802i 2.59375i
\(694\) −8.28357 9.80276i −0.314440 0.372108i
\(695\) −0.735504 2.77091i −0.0278993 0.105107i
\(696\) −41.9995 + 16.6253i −1.59199 + 0.630179i
\(697\) −1.40526 8.87245i −0.0532280 0.336068i
\(698\) 9.80986 5.94074i 0.371309 0.224860i
\(699\) −44.0723 44.0723i −1.66697 1.66697i
\(700\) 35.4156 + 4.26783i 1.33858 + 0.161309i
\(701\) −10.1806 + 10.1806i −0.384516 + 0.384516i −0.872726 0.488210i \(-0.837650\pi\)
0.488210 + 0.872726i \(0.337650\pi\)
\(702\) 3.54961 + 0.871960i 0.133972 + 0.0329100i
\(703\) 33.4889 5.30412i 1.26306 0.200048i
\(704\) 35.8232 24.3378i 1.35014 0.917267i
\(705\) 4.76971 5.86194i 0.179638 0.220774i
\(706\) 15.9956 + 1.34358i 0.602004 + 0.0505663i
\(707\) 19.3348 0.727161
\(708\) −0.343954 + 32.6938i −0.0129266 + 1.22871i
\(709\) −39.8769 20.3183i −1.49761 0.763070i −0.502759 0.864427i \(-0.667682\pi\)
−0.994850 + 0.101357i \(0.967682\pi\)
\(710\) 22.8518 + 42.8618i 0.857611 + 1.60857i
\(711\) −6.30451 + 19.4033i −0.236438 + 0.727680i
\(712\) −16.2544 27.4892i −0.609159 1.03020i
\(713\) 9.14330 + 4.65874i 0.342419 + 0.174471i
\(714\) −15.3793 + 62.6066i −0.575554 + 2.34299i
\(715\) −12.3953 19.1854i −0.463558 0.717494i
\(716\) 37.2000 + 12.5212i 1.39023 + 0.467939i
\(717\) −0.278318 0.383071i −0.0103940 0.0143061i
\(718\) 1.57650 + 21.4749i 0.0588344 + 0.801437i
\(719\) 3.64810 2.65050i 0.136051 0.0988470i −0.517678 0.855575i \(-0.673204\pi\)
0.653729 + 0.756728i \(0.273204\pi\)
\(720\) −20.6059 23.9903i −0.767938 0.894067i
\(721\) 3.54172 + 2.57321i 0.131900 + 0.0958313i
\(722\) 4.44032 7.16112i 0.165252 0.266509i
\(723\) −30.2575 9.83126i −1.12529 0.365628i
\(724\) −2.93155 2.17738i −0.108950 0.0809216i
\(725\) 8.22536 30.1316i 0.305482 1.11906i
\(726\) 66.0096 4.84585i 2.44985 0.179846i
\(727\) 18.0021 + 35.3311i 0.667660 + 1.31036i 0.937679 + 0.347502i \(0.112970\pi\)
−0.270019 + 0.962855i \(0.587030\pi\)
\(728\) −17.7016 + 7.00709i −0.656066 + 0.259700i
\(729\) −28.8245 20.9423i −1.06758 0.775639i
\(730\) −0.388357 20.9047i −0.0143737 0.773716i
\(731\) 5.13582 32.4263i 0.189955 1.19933i
\(732\) −28.3635 21.0667i −1.04835 0.778649i
\(733\) 6.88605 5.00301i 0.254342 0.184790i −0.453307 0.891354i \(-0.649756\pi\)
0.707649 + 0.706564i \(0.249756\pi\)
\(734\) 6.15318 14.6368i 0.227118 0.540256i
\(735\) 24.3715 21.8409i 0.898955 0.805614i
\(736\) −13.7986 + 15.3212i −0.508624 + 0.564747i
\(737\) −7.43977 3.79075i −0.274048 0.139634i
\(738\) 8.32003 3.39511i 0.306264 0.124976i
\(739\) −9.71069 19.0583i −0.357214 0.701071i 0.640550 0.767917i \(-0.278707\pi\)
−0.997763 + 0.0668456i \(0.978707\pi\)
\(740\) −28.1939 11.2409i −1.03643 0.413222i
\(741\) 10.9409 21.4727i 0.401924 0.788820i
\(742\) 67.0530 + 5.63222i 2.46159 + 0.206765i
\(743\) 8.14942 + 8.14942i 0.298973 + 0.298973i 0.840612 0.541638i \(-0.182196\pi\)
−0.541638 + 0.840612i \(0.682196\pi\)
\(744\) −13.4637 + 15.2694i −0.493605 + 0.559803i
\(745\) −0.557243 0.862499i −0.0204158 0.0315995i
\(746\) −12.5744 + 20.2793i −0.460381 + 0.742479i
\(747\) 17.0131 23.4165i 0.622475 0.856763i
\(748\) −53.3629 9.02830i −1.95114 0.330107i
\(749\) −10.7367 10.7367i −0.392309 0.392309i
\(750\) 40.3334 2.67586i 1.47277 0.0977084i
\(751\) 24.3397i 0.888170i −0.895985 0.444085i \(-0.853529\pi\)
0.895985 0.444085i \(-0.146471\pi\)
\(752\) 3.81702 3.65969i 0.139192 0.133455i
\(753\) 7.34637 + 46.3831i 0.267716 + 1.69030i
\(754\) 3.80613 + 16.2293i 0.138611 + 0.591035i
\(755\) −9.85052 + 45.8146i −0.358497 + 1.66736i
\(756\) −9.77168 0.102803i −0.355393 0.00373890i
\(757\) −3.98470 −0.144826 −0.0724132 0.997375i \(-0.523070\pi\)
−0.0724132 + 0.997375i \(0.523070\pi\)
\(758\) 20.3086 + 1.70585i 0.737642 + 0.0619594i
\(759\) −47.9767 + 15.5886i −1.74144 + 0.565829i
\(760\) −28.0360 + 14.5707i −1.01697 + 0.528535i
\(761\) −12.4238 4.03675i −0.450363 0.146332i 0.0750487 0.997180i \(-0.476089\pi\)
−0.525412 + 0.850848i \(0.676089\pi\)
\(762\) 3.32208 + 1.39657i 0.120346 + 0.0505923i
\(763\) 16.9676 + 52.2209i 0.614268 + 1.89052i
\(764\) −37.9315 6.41751i −1.37231 0.232178i
\(765\) −2.16088 + 39.4616i −0.0781267 + 1.42674i
\(766\) −24.5929 10.3386i −0.888576 0.373548i
\(767\) 11.9174 + 1.88754i 0.430313 + 0.0681550i
\(768\) −22.6295 34.0744i −0.816573 1.22955i
\(769\) −4.33395 5.96516i −0.156286 0.215109i 0.723693 0.690122i \(-0.242443\pi\)
−0.879979 + 0.475013i \(0.842443\pi\)
\(770\) 43.9757 + 42.3716i 1.58478 + 1.52697i
\(771\) 1.33519 + 8.43006i 0.0480857 + 0.303601i
\(772\) 5.31120 + 16.9509i 0.191154 + 0.610077i
\(773\) −23.5292 7.64510i −0.846286 0.274975i −0.146396