Properties

Label 96.2.o.a.11.7
Level 96
Weight 2
Character 96.11
Analytic conductor 0.767
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 96 = 2^{5} \cdot 3 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 96.o (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.766563859404\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{8})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 11.7
Character \(\chi\) = 96.11
Dual form 96.2.o.a.35.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.310967 + 1.37960i) q^{2} +(-1.70463 - 0.306981i) q^{3} +(-1.80660 - 0.858022i) q^{4} +(-2.70066 - 1.11865i) q^{5} +(0.953596 - 2.25625i) q^{6} +(-3.28204 + 3.28204i) q^{7} +(1.74552 - 2.22557i) q^{8} +(2.81152 + 1.04658i) q^{9} +O(q^{10})\) \(q+(-0.310967 + 1.37960i) q^{2} +(-1.70463 - 0.306981i) q^{3} +(-1.80660 - 0.858022i) q^{4} +(-2.70066 - 1.11865i) q^{5} +(0.953596 - 2.25625i) q^{6} +(-3.28204 + 3.28204i) q^{7} +(1.74552 - 2.22557i) q^{8} +(2.81152 + 1.04658i) q^{9} +(2.38311 - 3.37797i) q^{10} +(0.276697 + 0.114612i) q^{11} +(2.81619 + 2.01720i) q^{12} +(-0.155281 - 0.374881i) q^{13} +(-3.50730 - 5.54851i) q^{14} +(4.26022 + 2.73593i) q^{15} +(2.52760 + 3.10020i) q^{16} -1.41723 q^{17} +(-2.31815 + 3.55333i) q^{18} +(-2.51972 + 1.04370i) q^{19} +(3.91918 + 4.33817i) q^{20} +(6.60218 - 4.58713i) q^{21} +(-0.244162 + 0.346091i) q^{22} +(-3.30034 + 3.30034i) q^{23} +(-3.65867 + 3.25793i) q^{24} +(2.50664 + 2.50664i) q^{25} +(0.565473 - 0.0976497i) q^{26} +(-4.47133 - 2.64711i) q^{27} +(8.74538 - 3.11326i) q^{28} +(-0.650676 - 1.57087i) q^{29} +(-5.09929 + 5.02661i) q^{30} -4.16702i q^{31} +(-5.06304 + 2.52301i) q^{32} +(-0.436482 - 0.280311i) q^{33} +(0.440711 - 1.95521i) q^{34} +(12.5351 - 5.19221i) q^{35} +(-4.18131 - 4.30310i) q^{36} +(-2.82757 + 6.82635i) q^{37} +(-0.656341 - 3.80076i) q^{38} +(0.149615 + 0.686701i) q^{39} +(-7.20368 + 4.05787i) q^{40} +(3.81949 + 3.81949i) q^{41} +(4.27535 + 10.5348i) q^{42} +(2.07136 - 5.00071i) q^{43} +(-0.401541 - 0.444469i) q^{44} +(-6.42221 - 5.97156i) q^{45} +(-3.52686 - 5.57945i) q^{46} -5.44085i q^{47} +(-3.35691 - 6.06062i) q^{48} -14.5435i q^{49} +(-4.23765 + 2.67868i) q^{50} +(2.41585 + 0.435062i) q^{51} +(-0.0411259 + 0.810493i) q^{52} +(-1.85159 + 4.47012i) q^{53} +(5.04240 - 5.34548i) q^{54} +(-0.619053 - 0.619053i) q^{55} +(1.57553 + 13.0333i) q^{56} +(4.61558 - 1.00562i) q^{57} +(2.36951 - 0.409184i) q^{58} +(-1.37699 + 3.32434i) q^{59} +(-5.34901 - 8.59809i) q^{60} +(-10.9629 + 4.54098i) q^{61} +(5.74883 + 1.29581i) q^{62} +(-12.6624 + 5.79262i) q^{63} +(-1.90631 - 7.76955i) q^{64} +1.18613i q^{65} +(0.522449 - 0.515003i) q^{66} +(4.19888 + 10.1370i) q^{67} +(2.56036 + 1.21601i) q^{68} +(6.63900 - 4.61272i) q^{69} +(3.26517 + 18.9080i) q^{70} +(3.77857 + 3.77857i) q^{71} +(7.23681 - 4.43042i) q^{72} +(-3.89137 + 3.89137i) q^{73} +(-8.53836 - 6.02369i) q^{74} +(-3.50340 - 5.04239i) q^{75} +(5.44763 + 0.276423i) q^{76} +(-1.28429 + 0.531970i) q^{77} +(-0.993899 - 0.00713300i) q^{78} +4.81995 q^{79} +(-3.35814 - 11.2001i) q^{80} +(6.80935 + 5.88497i) q^{81} +(-6.45711 + 4.08164i) q^{82} +(-3.60399 - 8.70081i) q^{83} +(-15.8634 + 2.62229i) q^{84} +(3.82744 + 1.58538i) q^{85} +(6.25486 + 4.41271i) q^{86} +(0.626933 + 2.87750i) q^{87} +(0.738056 - 0.415751i) q^{88} +(-3.69926 + 3.69926i) q^{89} +(10.2355 - 7.00313i) q^{90} +(1.74001 + 0.720735i) q^{91} +(8.79416 - 3.13063i) q^{92} +(-1.27920 + 7.10323i) q^{93} +(7.50620 + 1.69193i) q^{94} +7.97242 q^{95} +(9.40513 - 2.74655i) q^{96} +10.9958 q^{97} +(20.0643 + 4.52256i) q^{98} +(0.657990 + 0.611818i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} + O(q^{10}) \) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} - 16q^{10} - 4q^{12} - 8q^{13} - 8q^{15} - 40q^{16} - 4q^{18} - 8q^{19} - 4q^{21} - 24q^{22} + 16q^{24} - 8q^{25} - 28q^{27} - 8q^{28} + 44q^{30} - 8q^{33} - 24q^{34} + 48q^{36} - 8q^{37} - 28q^{39} + 24q^{40} + 56q^{42} - 8q^{43} - 4q^{45} + 24q^{46} + 48q^{48} - 16q^{51} + 48q^{52} + 40q^{54} + 24q^{55} - 4q^{57} + 96q^{58} + 8q^{60} - 40q^{61} + 40q^{64} - 28q^{66} + 56q^{67} - 4q^{69} + 40q^{70} - 64q^{72} - 8q^{73} + 16q^{75} + 48q^{76} - 92q^{78} + 16q^{79} - 48q^{82} - 136q^{84} - 48q^{85} + 52q^{87} - 48q^{88} - 136q^{90} + 40q^{91} + 8q^{93} - 64q^{94} - 104q^{96} - 16q^{97} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{8}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.310967 + 1.37960i −0.219887 + 0.975525i
\(3\) −1.70463 0.306981i −0.984168 0.177236i
\(4\) −1.80660 0.858022i −0.903299 0.429011i
\(5\) −2.70066 1.11865i −1.20777 0.500275i −0.314269 0.949334i \(-0.601759\pi\)
−0.893502 + 0.449059i \(0.851759\pi\)
\(6\) 0.953596 2.25625i 0.389304 0.921109i
\(7\) −3.28204 + 3.28204i −1.24049 + 1.24049i −0.280697 + 0.959797i \(0.590565\pi\)
−0.959797 + 0.280697i \(0.909435\pi\)
\(8\) 1.74552 2.22557i 0.617135 0.786857i
\(9\) 2.81152 + 1.04658i 0.937175 + 0.348860i
\(10\) 2.38311 3.37797i 0.753604 1.06821i
\(11\) 0.276697 + 0.114612i 0.0834272 + 0.0345567i 0.424007 0.905659i \(-0.360623\pi\)
−0.340580 + 0.940216i \(0.610623\pi\)
\(12\) 2.81619 + 2.01720i 0.812963 + 0.582316i
\(13\) −0.155281 0.374881i −0.0430671 0.103973i 0.900882 0.434064i \(-0.142921\pi\)
−0.943949 + 0.330091i \(0.892921\pi\)
\(14\) −3.50730 5.54851i −0.937364 1.48290i
\(15\) 4.26022 + 2.73593i 1.09998 + 0.706415i
\(16\) 2.52760 + 3.10020i 0.631899 + 0.775050i
\(17\) −1.41723 −0.343728 −0.171864 0.985121i \(-0.554979\pi\)
−0.171864 + 0.985121i \(0.554979\pi\)
\(18\) −2.31815 + 3.55333i −0.546394 + 0.837528i
\(19\) −2.51972 + 1.04370i −0.578062 + 0.239441i −0.652506 0.757784i \(-0.726282\pi\)
0.0744431 + 0.997225i \(0.476282\pi\)
\(20\) 3.91918 + 4.33817i 0.876355 + 0.970045i
\(21\) 6.60218 4.58713i 1.44071 1.00099i
\(22\) −0.244162 + 0.346091i −0.0520555 + 0.0737868i
\(23\) −3.30034 + 3.30034i −0.688169 + 0.688169i −0.961827 0.273658i \(-0.911766\pi\)
0.273658 + 0.961827i \(0.411766\pi\)
\(24\) −3.65867 + 3.25793i −0.746824 + 0.665022i
\(25\) 2.50664 + 2.50664i 0.501328 + 0.501328i
\(26\) 0.565473 0.0976497i 0.110898 0.0191507i
\(27\) −4.47133 2.64711i −0.860508 0.509438i
\(28\) 8.74538 3.11326i 1.65272 0.588352i
\(29\) −0.650676 1.57087i −0.120827 0.291703i 0.851880 0.523736i \(-0.175462\pi\)
−0.972708 + 0.232033i \(0.925462\pi\)
\(30\) −5.09929 + 5.02661i −0.930998 + 0.917730i
\(31\) 4.16702i 0.748419i −0.927344 0.374209i \(-0.877914\pi\)
0.927344 0.374209i \(-0.122086\pi\)
\(32\) −5.06304 + 2.52301i −0.895028 + 0.446010i
\(33\) −0.436482 0.280311i −0.0759817 0.0487959i
\(34\) 0.440711 1.95521i 0.0755814 0.335315i
\(35\) 12.5351 5.19221i 2.11882 0.877644i
\(36\) −4.18131 4.30310i −0.696885 0.717183i
\(37\) −2.82757 + 6.82635i −0.464849 + 1.12225i 0.501534 + 0.865138i \(0.332769\pi\)
−0.966383 + 0.257107i \(0.917231\pi\)
\(38\) −0.656341 3.80076i −0.106473 0.616565i
\(39\) 0.149615 + 0.686701i 0.0239575 + 0.109960i
\(40\) −7.20368 + 4.05787i −1.13900 + 0.641606i
\(41\) 3.81949 + 3.81949i 0.596504 + 0.596504i 0.939380 0.342877i \(-0.111401\pi\)
−0.342877 + 0.939380i \(0.611401\pi\)
\(42\) 4.27535 + 10.5348i 0.659701 + 1.62556i
\(43\) 2.07136 5.00071i 0.315880 0.762602i −0.683584 0.729872i \(-0.739580\pi\)
0.999464 0.0327301i \(-0.0104202\pi\)
\(44\) −0.401541 0.444469i −0.0605345 0.0670062i
\(45\) −6.42221 5.97156i −0.957367 0.890188i
\(46\) −3.52686 5.57945i −0.520007 0.822645i
\(47\) 5.44085i 0.793629i −0.917899 0.396815i \(-0.870116\pi\)
0.917899 0.396815i \(-0.129884\pi\)
\(48\) −3.35691 6.06062i −0.484529 0.874775i
\(49\) 14.5435i 2.07765i
\(50\) −4.23765 + 2.67868i −0.599294 + 0.378823i
\(51\) 2.41585 + 0.435062i 0.338286 + 0.0609209i
\(52\) −0.0411259 + 0.810493i −0.00570314 + 0.112395i
\(53\) −1.85159 + 4.47012i −0.254335 + 0.614019i −0.998545 0.0539269i \(-0.982826\pi\)
0.744210 + 0.667946i \(0.232826\pi\)
\(54\) 5.04240 5.34548i 0.686184 0.727428i
\(55\) −0.619053 0.619053i −0.0834731 0.0834731i
\(56\) 1.57553 + 13.0333i 0.210540 + 1.74164i
\(57\) 4.61558 1.00562i 0.611348 0.133197i
\(58\) 2.36951 0.409184i 0.311132 0.0537284i
\(59\) −1.37699 + 3.32434i −0.179268 + 0.432792i −0.987814 0.155642i \(-0.950255\pi\)
0.808545 + 0.588434i \(0.200255\pi\)
\(60\) −5.34901 8.59809i −0.690554 1.11001i
\(61\) −10.9629 + 4.54098i −1.40366 + 0.581413i −0.950698 0.310119i \(-0.899631\pi\)
−0.452958 + 0.891532i \(0.649631\pi\)
\(62\) 5.74883 + 1.29581i 0.730102 + 0.164568i
\(63\) −12.6624 + 5.79262i −1.59532 + 0.729801i
\(64\) −1.90631 7.76955i −0.238289 0.971194i
\(65\) 1.18613i 0.147121i
\(66\) 0.522449 0.515003i 0.0643090 0.0633925i
\(67\) 4.19888 + 10.1370i 0.512974 + 1.23843i 0.942145 + 0.335206i \(0.108806\pi\)
−0.429170 + 0.903224i \(0.641194\pi\)
\(68\) 2.56036 + 1.21601i 0.310489 + 0.147463i
\(69\) 6.63900 4.61272i 0.799242 0.555306i
\(70\) 3.26517 + 18.9080i 0.390263 + 2.25994i
\(71\) 3.77857 + 3.77857i 0.448434 + 0.448434i 0.894834 0.446400i \(-0.147294\pi\)
−0.446400 + 0.894834i \(0.647294\pi\)
\(72\) 7.23681 4.43042i 0.852866 0.522130i
\(73\) −3.89137 + 3.89137i −0.455450 + 0.455450i −0.897159 0.441708i \(-0.854373\pi\)
0.441708 + 0.897159i \(0.354373\pi\)
\(74\) −8.53836 6.02369i −0.992564 0.700239i
\(75\) −3.50340 5.04239i −0.404538 0.582245i
\(76\) 5.44763 + 0.276423i 0.624886 + 0.0317079i
\(77\) −1.28429 + 0.531970i −0.146358 + 0.0606236i
\(78\) −0.993899 0.00713300i −0.112537 0.000807653i
\(79\) 4.81995 0.542287 0.271143 0.962539i \(-0.412598\pi\)
0.271143 + 0.962539i \(0.412598\pi\)
\(80\) −3.35814 11.2001i −0.375451 1.25221i
\(81\) 6.80935 + 5.88497i 0.756594 + 0.653885i
\(82\) −6.45711 + 4.08164i −0.713068 + 0.450741i
\(83\) −3.60399 8.70081i −0.395590 0.955038i −0.988699 0.149916i \(-0.952100\pi\)
0.593109 0.805122i \(1.70210\pi\)
\(84\) −15.8634 + 2.62229i −1.73083 + 0.286116i
\(85\) 3.82744 + 1.58538i 0.415145 + 0.171959i
\(86\) 6.25486 + 4.41271i 0.674479 + 0.475835i
\(87\) 0.626933 + 2.87750i 0.0672143 + 0.308500i
\(88\) 0.738056 0.415751i 0.0786770 0.0443192i
\(89\) −3.69926 + 3.69926i −0.392121 + 0.392121i −0.875443 0.483322i \(-0.839430\pi\)
0.483322 + 0.875443i \(0.339430\pi\)
\(90\) 10.2355 7.00313i 1.07891 0.738195i
\(91\) 1.74001 + 0.720735i 0.182402 + 0.0755536i
\(92\) 8.79416 3.13063i 0.916854 0.326390i
\(93\) −1.27920 + 7.10323i −0.132647 + 0.736570i
\(94\) 7.50620 + 1.69193i 0.774206 + 0.174509i
\(95\) 7.97242 0.817953
\(96\) 9.40513 2.74655i 0.959907 0.280318i
\(97\) 10.9958 1.11646 0.558229 0.829687i \(-0.311481\pi\)
0.558229 + 0.829687i \(0.311481\pi\)
\(98\) 20.0643 + 4.52256i 2.02680 + 0.456848i
\(99\) 0.657990 + 0.611818i 0.0661305 + 0.0614900i
\(100\) −2.37774 6.67925i −0.237774 0.667925i
\(101\) −2.51499 1.04174i −0.250251 0.103657i 0.254032 0.967196i \(-0.418243\pi\)
−0.504283 + 0.863538i \(0.668243\pi\)
\(102\) −1.35146 + 3.19762i −0.133815 + 0.316611i
\(103\) −0.332885 + 0.332885i −0.0328001 + 0.0328001i −0.723317 0.690517i \(-0.757383\pi\)
0.690517 + 0.723317i \(0.257383\pi\)
\(104\) −1.10537 0.308774i −0.108390 0.0302778i
\(105\) −22.9616 + 5.00275i −2.24082 + 0.488219i
\(106\) −5.59121 3.94451i −0.543066 0.383125i
\(107\) 0.394269 + 0.163312i 0.0381154 + 0.0157879i 0.401660 0.915789i \(-0.368433\pi\)
−0.363544 + 0.931577i \(0.618433\pi\)
\(108\) 5.80661 + 8.61877i 0.558742 + 0.829342i
\(109\) 1.81782 + 4.38860i 0.174115 + 0.420352i 0.986713 0.162474i \(-0.0519472\pi\)
−0.812598 + 0.582825i \(0.801947\pi\)
\(110\) 1.04655 0.661541i 0.0997848 0.0630755i
\(111\) 6.91552 10.7684i 0.656392 1.02209i
\(112\) −18.4706 1.87931i −1.74531 0.177578i
\(113\) −18.5323 −1.74337 −0.871687 0.490063i \(-0.836974\pi\)
−0.871687 + 0.490063i \(0.836974\pi\)
\(114\) −0.0479436 + 6.68037i −0.00449033 + 0.625674i
\(115\) 12.6050 5.22117i 1.17542 0.486876i
\(116\) −0.172331 + 3.39623i −0.0160005 + 0.315332i
\(117\) −0.0442333 1.21650i −0.00408937 0.112465i
\(118\) −4.15806 2.93345i −0.382781 0.270046i
\(119\) 4.65139 4.65139i 0.426392 0.426392i
\(120\) 13.5253 4.70578i 1.23469 0.429577i
\(121\) −7.71475 7.71475i −0.701341 0.701341i
\(122\) −2.85564 16.5365i −0.258538 1.49715i
\(123\) −5.33830 7.68333i −0.481339 0.692782i
\(124\) −3.57539 + 7.52813i −0.321080 + 0.676046i
\(125\) 1.62772 + 3.92966i 0.145587 + 0.351479i
\(126\) −4.05390 19.2704i −0.361150 1.71675i
\(127\) 4.80013i 0.425943i −0.977058 0.212971i \(-0.931686\pi\)
0.977058 0.212971i \(-0.0683141\pi\)
\(128\) 11.3117 0.213874i 0.999821 0.0189040i
\(129\) −5.06603 + 7.88850i −0.446039 + 0.694543i
\(130\) −1.63638 0.368847i −0.143520 0.0323500i
\(131\) −20.2118 + 8.37202i −1.76592 + 0.731467i −0.770328 + 0.637648i \(0.779907\pi\)
−0.995589 + 0.0938185i \(0.970093\pi\)
\(132\) 0.548035 + 0.880920i 0.0477003 + 0.0766743i
\(133\) 4.84434 11.6953i 0.420057 1.01411i
\(134\) −15.2907 + 2.64050i −1.32092 + 0.228105i
\(135\) 9.11434 + 12.1508i 0.784437 + 1.04577i
\(136\) −2.47380 + 3.15414i −0.212127 + 0.270465i
\(137\) 12.7302 + 12.7302i 1.08762 + 1.08762i 0.995773 + 0.0918436i \(0.0292760\pi\)
0.0918436 + 0.995773i \(0.470724\pi\)
\(138\) 4.29920 + 10.5936i 0.365972 + 0.901785i
\(139\) 0.193431 0.466984i 0.0164066 0.0396091i −0.915464 0.402400i \(-0.868176\pi\)
0.931871 + 0.362791i \(0.118176\pi\)
\(140\) −27.1009 1.37515i −2.29045 0.116222i
\(141\) −1.67024 + 9.27463i −0.140660 + 0.781065i
\(142\) −6.38793 + 4.03791i −0.536063 + 0.338854i
\(143\) 0.121525i 0.0101624i
\(144\) 3.86180 + 11.3616i 0.321816 + 0.946802i
\(145\) 4.97026i 0.412758i
\(146\) −4.15845 6.57862i −0.344156 0.544451i
\(147\) −4.46459 + 24.7913i −0.368233 + 2.04475i
\(148\) 10.9654 9.90636i 0.901353 0.814298i
\(149\) 4.31949 10.4282i 0.353866 0.854308i −0.642269 0.766479i \(-0.722007\pi\)
0.996136 0.0878294i \(-0.0279930\pi\)
\(150\) 8.04593 3.26528i 0.656947 0.266609i
\(151\) −13.7687 13.7687i −1.12048 1.12048i −0.991669 0.128814i \(-0.958883\pi\)
−0.128814 0.991669i \(-0.541117\pi\)
\(152\) −2.07539 + 7.42960i −0.168336 + 0.602620i
\(153\) −3.98457 1.48324i −0.322133 0.119913i
\(154\) −0.334534 1.93723i −0.0269575 0.156106i
\(155\) −4.66143 + 11.2537i −0.374415 + 0.903918i
\(156\) 0.318911 1.36897i 0.0255333 0.109605i
\(157\) 7.94660 3.29159i 0.634208 0.262697i −0.0423321 0.999104i \(-0.513479\pi\)
0.676540 + 0.736406i \(0.263479\pi\)
\(158\) −1.49885 + 6.64961i −0.119242 + 0.529015i
\(159\) 4.52851 7.05151i 0.359135 0.559221i
\(160\) 16.4959 1.15003i 1.30412 0.0909180i
\(161\) 21.6637i 1.70734i
\(162\) −10.2364 + 7.56415i −0.804247 + 0.594296i
\(163\) 4.77631 + 11.5310i 0.374110 + 0.903181i 0.993045 + 0.117739i \(0.0375645\pi\)
−0.618935 + 0.785442i \(0.712435\pi\)
\(164\) −3.62308 10.1775i −0.282915 0.794728i
\(165\) 0.865219 + 1.24529i 0.0673572 + 0.0969460i
\(166\) 13.1244 2.26641i 1.01865 0.175907i
\(167\) −14.7585 14.7585i −1.14205 1.14205i −0.988076 0.153970i \(-0.950794\pi\)
−0.153970 0.988076i \(1.45079\pi\)
\(168\) 1.31526 22.7005i 0.101475 1.75139i
\(169\) 9.07596 9.07596i 0.698151 0.698151i
\(170\) −3.37740 + 4.78734i −0.259035 + 0.367173i
\(171\) −8.17656 + 0.297309i −0.625277 + 0.0227358i
\(172\) −8.03284 + 7.25701i −0.612499 + 0.553342i
\(173\) 7.60827 3.15145i 0.578446 0.239600i −0.0742253 0.997241i \(-0.523648\pi\)
0.652671 + 0.757641i \(0.273648\pi\)
\(174\) −4.16475 0.0298895i −0.315729 0.00226592i
\(175\) −16.4538 −1.24379
\(176\) 0.344059 + 1.14751i 0.0259344 + 0.0864966i
\(177\) 3.36776 5.24406i 0.253136 0.394167i
\(178\) −3.95316 6.25386i −0.296302 0.468747i
\(179\) −1.38731 3.34926i −0.103692 0.250335i 0.863515 0.504323i \(-0.168258\pi\)
−0.967208 + 0.253987i \(0.918258\pi\)
\(180\) 6.47863 + 16.2986i 0.482889 + 1.21483i
\(181\) 6.51464 + 2.69845i 0.484229 + 0.200574i 0.611424 0.791303i \(-0.290597\pi\)
−0.127194 + 0.991878i \(0.540597\pi\)
\(182\) −1.53541 + 2.17639i −0.113812 + 0.161325i
\(183\) 20.0817 4.37529i 1.48448 0.323431i
\(184\) 1.58432 + 13.1060i 0.116798 + 0.966184i
\(185\) 15.2726 15.2726i 1.12286 1.12286i
\(186\) −9.40183 3.97365i −0.689376 0.291362i
\(187\) −0.392142 0.162431i −0.0286763 0.0118781i
\(188\) −4.66837 + 9.82943i −0.340476 + 0.716885i
\(189\) 23.3630 5.98714i 1.69941 0.435500i
\(190\) −2.47916 + 10.9988i −0.179857 + 0.797934i
\(191\) 18.8097 1.36102 0.680511 0.732737i \(-0.261758\pi\)
0.680511 + 0.732737i \(0.261758\pi\)
\(192\) 0.864450 + 13.8294i 0.0623863 + 0.998052i
\(193\) −11.1498 −0.802582 −0.401291 0.915951i \(-0.631438\pi\)
−0.401291 + 0.915951i \(0.631438\pi\)
\(194\) −3.41935 + 15.1699i −0.245495 + 1.08913i
\(195\) 0.364119 2.02191i 0.0260751 0.144792i
\(196\) −12.4787 + 26.2743i −0.891333 + 1.87674i
\(197\) 14.7643 + 6.11558i 1.05191 + 0.435717i 0.840575 0.541696i \(-0.182217\pi\)
0.211340 + 0.977413i \(0.432217\pi\)
\(198\) −1.04868 + 0.717508i −0.0745263 + 0.0509911i
\(199\) 0.686194 0.686194i 0.0486430 0.0486430i −0.682367 0.731010i \(-0.739049\pi\)
0.731010 + 0.682367i \(0.239049\pi\)
\(200\) 9.95410 1.20331i 0.703861 0.0850867i
\(201\) −4.04566 18.5688i −0.285359 1.30974i
\(202\) 2.21927 3.14574i 0.156147 0.221333i
\(203\) 7.29119 + 3.02011i 0.511742 + 0.211970i
\(204\) −3.99117 2.85883i −0.279438 0.200158i
\(205\) −6.04246 14.5878i −0.422024 1.01886i
\(206\) −0.355732 0.562765i −0.0247850 0.0392097i
\(207\) −12.7331 + 5.82492i −0.885009 + 0.404860i
\(208\) 0.769719 1.42895i 0.0533704 0.0990798i
\(209\) −0.816817 −0.0565004
\(210\) 0.238510 33.2336i 0.0164588 2.29333i
\(211\) 2.25868 0.935575i 0.155494 0.0644076i −0.303579 0.952806i \(-0.598182\pi\)
0.459073 + 0.888399i \(0.348182\pi\)
\(212\) 7.18054 6.48702i 0.493161 0.445530i
\(213\) −5.28111 7.60101i −0.361856 0.520813i
\(214\) −0.347910 + 0.493149i −0.0237826 + 0.0337110i
\(215\) −11.1881 + 11.1881i −0.763021 + 0.763021i
\(216\) −13.6961 + 5.33066i −0.931904 + 0.362705i
\(217\) 13.6763 + 13.6763i 0.928409 + 0.928409i
\(218\) −6.61980 + 1.14315i −0.448349 + 0.0774240i
\(219\) 7.82792 5.43876i 0.528962 0.367518i
\(220\) 0.587219 + 1.64954i 0.0395903 + 0.111212i
\(221\) 0.220068 + 0.531291i 0.0148034 + 0.0357385i
\(222\) 12.7056 + 12.8893i 0.852743 + 0.865071i
\(223\) 10.3472i 0.692900i 0.938068 + 0.346450i \(0.112613\pi\)
−0.938068 + 0.346450i \(0.887387\pi\)
\(224\) 8.33646 24.8977i 0.557003 1.66355i
\(225\) 4.42409 + 9.67088i 0.294939 + 0.644725i
\(226\) 5.76294 25.5672i 0.383345 1.70071i
\(227\) 10.4804 4.34114i 0.695611 0.288131i −0.00672494 0.999977i \(-0.502141\pi\)
0.702336 + 0.711846i \(0.252141\pi\)
\(228\) −9.20134 2.14352i −0.609374 0.141958i
\(229\) −7.39471 + 17.8524i −0.488656 + 1.17972i 0.466740 + 0.884395i \(0.345428\pi\)
−0.955396 + 0.295326i \(0.904572\pi\)
\(230\) 3.28338 + 19.0135i 0.216500 + 1.25371i
\(231\) 2.35254 0.512559i 0.154786 0.0337239i
\(232\) −4.63185 1.29386i −0.304096 0.0849463i
\(233\) −15.9703 15.9703i −1.04625 1.04625i −0.998877 0.0473714i \(-0.984916\pi\)
−0.0473714 0.998877i \(1.48492\pi\)
\(234\) 1.69204 + 0.317267i 0.110612 + 0.0207404i
\(235\) −6.08640 + 14.6939i −0.397033 + 0.958522i
\(236\) 5.34001 4.82426i 0.347605 0.314033i
\(237\) −8.21623 1.47963i −0.533702 0.0961126i
\(238\) 4.97063 + 7.86349i 0.322198 + 0.509715i
\(239\) 22.5155i 1.45641i 0.685361 + 0.728204i \(0.259645\pi\)
−0.685361 + 0.728204i \(0.740355\pi\)
\(240\) 2.28617 + 20.1229i 0.147571 + 1.29893i
\(241\) 21.7886i 1.40353i 0.712409 + 0.701765i \(0.247604\pi\)
−0.712409 + 0.701765i \(0.752396\pi\)
\(242\) 13.0423 8.24424i 0.838392 0.529960i
\(243\) −9.80084 12.1220i −0.628724 0.777628i
\(244\) 23.7018 + 1.20268i 1.51735 + 0.0769934i
\(245\) −16.2691 + 39.2771i −1.03939 + 2.50932i
\(246\) 12.2600 4.97547i 0.781667 0.317224i
\(247\) 0.782526 + 0.782526i 0.0497909 + 0.0497909i
\(248\) −9.27399 7.27362i −0.588899 0.461875i
\(249\) 3.47249 + 15.9380i 0.220060 + 1.01003i
\(250\) −5.92753 + 1.02361i −0.374890 + 0.0647385i
\(251\) −5.96821 + 14.4085i −0.376710 + 0.909458i 0.615868 + 0.787849i \(0.288805\pi\)
−0.992578 + 0.121609i \(0.961195\pi\)
\(252\) 27.8461 + 0.399712i 1.75414 + 0.0251795i
\(253\) −1.29145 + 0.534937i −0.0811928 + 0.0336312i
\(254\) 6.62226 + 1.49268i 0.415518 + 0.0936593i
\(255\) −6.03769 3.87744i −0.378095 0.242815i
\(256\) −3.22250 + 15.6721i −0.201406 + 0.979508i
\(257\) 11.8781i 0.740934i −0.928846 0.370467i \(-0.879198\pi\)
0.928846 0.370467i \(-0.120802\pi\)
\(258\) −9.30761 9.44217i −0.579466 0.587844i
\(259\) −13.1242 31.6845i −0.815495 1.96878i
\(260\) 1.01772 2.14286i 0.0631166 0.132894i
\(261\) −0.185352 5.09752i −0.0114730 0.315529i
\(262\) −5.26483 30.4877i −0.325262 1.88354i
\(263\) −3.29543 3.29543i −0.203205 0.203205i 0.598167 0.801372i \(-0.295896\pi\)
−0.801372 + 0.598167i \(0.795896\pi\)
\(264\) −1.38574 + 0.482132i −0.0852864 + 0.0296732i
\(265\) 10.0010 10.0010i 0.614357 0.614357i
\(266\) 14.6284 + 10.3201i 0.896923 + 0.632766i
\(267\) 7.44148 5.17027i 0.455411 0.316415i
\(268\) 1.11207 21.9162i 0.0679304 1.33874i
\(269\) 26.9975 11.1827i 1.64607 0.681824i 0.649180 0.760635i \(-0.275112\pi\)
0.996890 + 0.0788107i \(0.0251123\pi\)
\(270\) −19.5975 + 8.79565i −1.19267 + 0.535286i
\(271\) 3.49827 0.212505 0.106252 0.994339i \(-0.466115\pi\)
0.106252 + 0.994339i \(0.466115\pi\)
\(272\) −3.58218 4.39369i −0.217201 0.266407i
\(273\) −2.74482 1.76274i −0.166124 0.106686i
\(274\) −21.5213 + 13.6040i −1.30015 + 0.821845i
\(275\) 0.406289 + 0.980869i 0.0245002 + 0.0591486i
\(276\) −15.9518 + 2.63692i −0.960187 + 0.158724i
\(277\) −10.1905 4.22105i −0.612289 0.253619i 0.0549177 0.998491i \(-0.482510\pi\)
−0.667207 + 0.744872i \(0.732510\pi\)
\(278\) 0.584101 + 0.412075i 0.0350321 + 0.0247146i
\(279\) 4.36112 11.7157i 0.261093 0.701399i
\(280\) 10.3247 36.9608i 0.617017 2.20883i
\(281\) −14.1081 + 14.1081i −0.841616 + 0.841616i −0.989069 0.147453i \(-0.952893\pi\)
0.147453 + 0.989069i \(0.452893\pi\)
\(282\) −12.2759 5.18837i −0.731020 0.308963i
\(283\) 17.2200 + 7.13275i 1.02362 + 0.423998i 0.830406 0.557159i \(-0.188108\pi\)
0.193215 + 0.981156i \(0.438108\pi\)
\(284\) −3.58426 10.0685i −0.212687 0.597453i
\(285\) −13.5900 2.44738i −0.805004 0.144971i
\(286\) 0.167656 + 0.0377904i 0.00991372 + 0.00223459i
\(287\) −25.0714 −1.47992
\(288\) −16.8754 + 1.79465i −0.994393 + 0.105751i
\(289\) −14.9915 −0.881851
\(290\) −6.85698 1.54559i −0.402655 0.0907601i
\(291\) −18.7438 3.37552i −1.09878 0.197876i
\(292\) 10.3690 3.69126i 0.606801 0.216015i
\(293\) −21.6538 8.96928i −1.26503 0.523991i −0.353577 0.935405i \(-0.615035\pi\)
−0.911448 + 0.411414i \(0.865035\pi\)
\(294\) −32.8138 13.8686i −1.91374 0.808836i
\(295\) 7.43753 7.43753i 0.433030 0.433030i
\(296\) 10.2569 + 18.2085i 0.596172 + 1.05835i
\(297\) −0.933812 1.24491i −0.0541853 0.0722372i
\(298\) 13.0435 + 9.20199i 0.755589 + 0.533057i
\(299\) 1.74971 + 0.724755i 0.101189 + 0.0419137i
\(300\) 2.00277 + 12.1156i 0.115630 + 0.699492i
\(301\) 9.61423 + 23.2108i 0.554155 + 1.33785i
\(302\) 23.2770 14.7137i 1.33944 0.846680i
\(303\) 3.96733 + 2.54784i 0.227917 + 0.146370i
\(304\) −9.60451 5.17357i −0.550856 0.296725i
\(305\) 34.6868 1.98616
\(306\) 3.28535 5.03588i 0.187811 0.287882i
\(307\) −19.7154 + 8.16639i −1.12522 + 0.466081i −0.866153 0.499779i \(-0.833415\pi\)
−0.259065 + 0.965860i \(0.583415\pi\)
\(308\) 2.77663 + 0.140892i 0.158213 + 0.00802805i
\(309\) 0.669635 0.465256i 0.0380942 0.0264675i
\(310\) −14.0761 9.93045i −0.799466 0.564012i
\(311\) −10.5699 + 10.5699i −0.599365 + 0.599365i −0.940144 0.340779i \(-0.889309\pi\)
0.340779 + 0.940144i \(0.389309\pi\)
\(312\) 1.78946 + 0.865673i 0.101308 + 0.0490091i
\(313\) −24.0589 24.0589i −1.35989 1.35989i −0.874044 0.485846i \(-0.838511\pi\)
−0.485846 0.874044i \(-0.661489\pi\)
\(314\) 2.06995 + 11.9867i 0.116814 + 0.676449i
\(315\) 40.6768 1.47905i 2.29188 0.0833352i
\(316\) −8.70772 4.13562i −0.489847 0.232647i
\(317\) −8.93517 21.5714i −0.501849 1.21157i −0.948475 0.316851i \(-0.897375\pi\)
0.446626 0.894721i \(1.64737\pi\)
\(318\) 8.32005 + 8.44033i 0.466565 + 0.473310i
\(319\) 0.509230i 0.0285114i
\(320\) −3.54310 + 23.1154i −0.198066 + 1.29219i
\(321\) −0.621949 0.399419i −0.0347138 0.0222934i
\(322\) 29.8872 + 6.73670i 1.66555 + 0.375421i
\(323\) 3.57101 1.47916i 0.198696 0.0823027i
\(324\) −7.25233 16.4743i −0.402907 0.915241i
\(325\) 0.550458 1.32892i 0.0305339 0.0737154i
\(326\) −17.3935 + 3.00363i −0.963338 + 0.166356i
\(327\) −1.75149 8.03897i −0.0968575 0.444556i
\(328\) 15.1675 1.83354i 0.837487 0.101240i
\(329\) 17.8571 + 17.8571i 0.984492 + 0.984492i
\(330\) −1.98706 + 0.806411i −0.109384 + 0.0443914i
\(331\) −10.6785 + 25.7802i −0.586943 + 1.41701i 0.299467 + 0.954107i \(0.403191\pi\)
−0.886411 + 0.462900i \(0.846809\pi\)
\(332\) −0.954515 + 18.8112i −0.0523858 + 1.03240i
\(333\) −15.0941 + 16.2332i −0.827151 + 0.889573i
\(334\) 24.9502 15.7714i 1.36522 0.862973i
\(335\) 32.0736i 1.75237i
\(336\) 30.9087 + 8.87367i 1.68621 + 0.484098i
\(337\) 7.72298i 0.420698i −0.977626 0.210349i \(-0.932540\pi\)
0.977626 0.210349i \(-0.0674600\pi\)
\(338\) 9.69888 + 15.3435i 0.527550 + 0.834579i
\(339\) 31.5907 + 5.68907i 1.71577 + 0.308988i
\(340\) −5.55437 6.14817i −0.301228 0.333432i
\(341\) 0.477589 1.15300i 0.0258629 0.0624385i
\(342\) 2.13248 11.3728i 0.115311 0.614973i
\(343\) 24.7581 + 24.7581i 1.33681 + 1.33681i
\(344\) −7.51382 13.3388i −0.405118 0.719181i
\(345\) −23.0897 + 5.03065i −1.24311 + 0.270841i
\(346\) 1.98182 + 11.4764i 0.106543 + 0.616973i
\(347\) 2.88801 6.97227i 0.155037 0.374291i −0.827208 0.561896i \(-0.810072\pi\)
0.982245 + 0.187604i \(0.0600723\pi\)
\(348\) 1.33634 5.73641i 0.0716352 0.307504i
\(349\) 3.70439 1.53441i 0.198292 0.0821351i −0.281328 0.959612i \(-0.590775\pi\)
0.479619 + 0.877477i \(0.340775\pi\)
\(350\) 5.11659 22.6996i 0.273493 1.21335i
\(351\) −0.298041 + 2.08726i −0.0159083 + 0.111410i
\(352\) −1.69009 + 0.117827i −0.0900823 + 0.00628019i
\(353\) 33.0427i 1.75869i 0.476189 + 0.879343i \(0.342018\pi\)
−0.476189 + 0.879343i \(0.657982\pi\)
\(354\) 6.18744 + 6.27690i 0.328859 + 0.333613i
\(355\) −5.97773 14.4315i −0.317265 0.765945i
\(356\) 9.85714 3.50904i 0.522427 0.185979i
\(357\) −9.35679 + 6.50101i −0.495214 + 0.344070i
\(358\) 5.05205 0.872422i 0.267009 0.0461090i
\(359\) −1.02805 1.02805i −0.0542584 0.0542584i 0.679457 0.733715i \(-0.262215\pi\)
−0.733715 + 0.679457i \(0.762215\pi\)
\(360\) −24.5002 + 3.86959i −1.29128 + 0.203945i
\(361\) −8.17537 + 8.17537i −0.430283 + 0.430283i
\(362\) −5.74863 + 8.14847i −0.302141 + 0.428274i
\(363\) 10.7825 + 15.5191i 0.565935 + 0.814540i
\(364\) −2.52509 2.79504i −0.132351 0.146500i
\(365\) 14.8623 6.15618i 0.777930 0.322229i
\(366\) −0.208595 + 29.0653i −0.0109034 + 1.51927i
\(367\) 11.6801 0.609694 0.304847 0.952401i \(-0.401395\pi\)
0.304847 + 0.952401i \(0.401395\pi\)
\(368\) −18.5737 1.88979i −0.968219 0.0985121i
\(369\) 6.74119 + 14.7360i 0.350932 + 0.767125i
\(370\) 16.3208 + 25.8193i 0.848478 + 1.34228i
\(371\) −8.59414 20.7481i −0.446185 1.07719i
\(372\) 8.40572 11.7351i 0.435816 0.608437i
\(373\) −11.6155 4.81129i −0.601427 0.249119i 0.0611312 0.998130i \(-0.480529\pi\)
−0.662558 + 0.749011i \(0.730529\pi\)
\(374\) 0.346033 0.490489i 0.0178929 0.0253626i
\(375\) −1.56832 7.19829i −0.0809879 0.371718i
\(376\) −12.1090 9.49712i −0.624473 0.489776i
\(377\) −0.487851 + 0.487851i −0.0251256 + 0.0251256i
\(378\) 0.994733 + 34.0934i 0.0511636 + 1.75358i
\(379\) −15.2623 6.32186i −0.783972 0.324732i −0.0454550 0.998966i \(-0.514474\pi\)
−0.738517 + 0.674234i \(0.764474\pi\)
\(380\) −14.4030 6.84051i −0.738857 0.350911i
\(381\) −1.47355 + 8.18244i −0.0754923 + 0.419199i
\(382\) −5.84921 + 25.9499i −0.299271 + 1.32771i
\(383\) 28.9536 1.47946 0.739729 0.672905i \(-0.234954\pi\)
0.739729 + 0.672905i \(0.234954\pi\)
\(384\) −19.3479 3.10790i −0.987343 0.158599i
\(385\) 4.06351 0.207096
\(386\) 3.46723 15.3823i 0.176477 0.782939i
\(387\) 11.0573 11.8918i 0.562076 0.604493i
\(388\) −19.8651 9.43467i −1.00850 0.478973i
\(389\) 6.31149 + 2.61431i 0.320005 + 0.132551i 0.536903 0.843644i \(-0.319594\pi\)
−0.216898 + 0.976194i \(0.569594\pi\)
\(390\) 2.67620 + 1.13109i 0.135515 + 0.0572748i
\(391\) 4.67733 4.67733i 0.236543 0.236543i
\(392\) −32.3676 25.3860i −1.63481 1.28219i
\(393\) 37.0238 8.06654i 1.86760 0.406903i
\(394\) −13.0283 + 18.4671i −0.656356 + 0.930361i
\(395\) −13.0170 5.39183i −0.654958 0.271293i
\(396\) −0.663770 1.66988i −0.0333557 0.0839146i
\(397\) −1.66407 4.01741i −0.0835171 0.201628i 0.876604 0.481212i \(-0.159803\pi\)
−0.960121 + 0.279584i \(0.909803\pi\)
\(398\) 0.733290 + 1.16006i 0.0367565 + 0.0581484i
\(399\) −11.8480 + 18.4490i −0.593143 + 0.923604i
\(400\) −1.43531 + 14.1069i −0.0717657 + 0.705344i
\(401\) −3.93840 −0.196674 −0.0983371 0.995153i \(-0.531352\pi\)
−0.0983371 + 0.995153i \(0.531352\pi\)
\(402\) 26.8756 + 0.192880i 1.34043 + 0.00961999i
\(403\) −1.56214 + 0.647058i −0.0778155 + 0.0322322i
\(404\) 3.64974 + 4.03993i 0.181581 + 0.200994i
\(405\) −11.8065 23.5105i −0.586670 1.16825i
\(406\) −6.43387 + 9.11978i −0.319308 + 0.452607i
\(407\) −1.56476 + 1.56476i −0.0775621 + 0.0775621i
\(408\) 5.18517 4.61722i 0.256704 0.228587i
\(409\) 12.8960 + 12.8960i 0.637664 + 0.637664i 0.949979 0.312314i \(-0.101104\pi\)
−0.312314 + 0.949979i \(0.601104\pi\)
\(410\) 22.0044 3.79986i 1.08672 0.187662i
\(411\) −17.7924 25.6083i −0.877634 1.26316i
\(412\) 0.887012 0.315767i 0.0436999 0.0155567i
\(413\) −6.39128 15.4299i −0.314494 0.759256i
\(414\) −4.07651 19.3779i −0.200349 0.952372i
\(415\) 27.5295i 1.35137i
\(416\) 1.73202 + 1.50626i 0.0849193 + 0.0738505i
\(417\) −0.473084 + 0.736656i −0.0231670 + 0.0360742i
\(418\) 0.254003 1.12688i 0.0124237 0.0551176i
\(419\) −5.81232 + 2.40754i −0.283951 + 0.117616i −0.520113 0.854097i \(-0.674110\pi\)
0.236163 + 0.971714i \(0.424110\pi\)
\(420\) 45.7749 + 10.6636i 2.23359 + 0.520331i
\(421\) 7.88620 19.0390i 0.384350 0.927903i −0.606763 0.794883i \(-0.707532\pi\)
0.991113 0.133020i \(-0.0424676\pi\)
\(422\) 0.588345 + 3.40701i 0.0286402 + 0.165850i
\(423\) 5.69428 15.2971i 0.276865 0.743770i
\(424\) 6.71659 + 11.9235i 0.326186 + 0.579058i
\(425\) −3.55248 3.55248i −0.172321 0.172321i
\(426\) 12.1286 4.92216i 0.587633 0.238479i
\(427\) 21.0770 50.8843i 1.01999 2.46246i
\(428\) −0.572161 0.633330i −0.0276564 0.0306132i
\(429\) −0.0373060 + 0.207155i −0.00180115 + 0.0100016i
\(430\) −11.9560 18.9142i −0.576568 0.912125i
\(431\) 33.6809i 1.62235i 0.584801 + 0.811177i \(0.301173\pi\)
−0.584801 + 0.811177i \(0.698827\pi\)
\(432\) −3.09513 20.5529i −0.148914 0.988850i
\(433\) 20.3471i 0.977819i 0.872335 + 0.488909i \(0.162605\pi\)
−0.872335 + 0.488909i \(0.837395\pi\)
\(434\) −23.1207 + 14.6150i −1.10983 + 0.701541i
\(435\) 1.52578 8.47245i 0.0731554 0.406223i
\(436\) 0.481447 9.48817i 0.0230572 0.454401i
\(437\) 4.87135 11.7605i 0.233028 0.562580i
\(438\) 5.06910 + 12.4907i 0.242211 + 0.596828i
\(439\) 12.4753 + 12.4753i 0.595414 + 0.595414i 0.939089 0.343675i \(-0.111672\pi\)
−0.343675 + 0.939089i \(0.611672\pi\)
\(440\) −2.45832 + 0.297175i −0.117196 + 0.0141673i
\(441\) 15.2209 40.8895i 0.724807 1.94712i
\(442\) −0.801403 + 0.138392i −0.0381189 + 0.00658263i
\(443\) 10.7190 25.8778i 0.509273 1.22949i −0.435030 0.900416i \(-0.643262\pi\)
0.944303 0.329077i \(-0.106738\pi\)
\(444\) −21.7331 + 13.5205i −1.03141 + 0.641654i
\(445\) 14.1286 5.85227i 0.669761 0.277424i
\(446\) −14.2750 3.21764i −0.675942 0.152360i
\(447\) −10.5644 + 16.4502i −0.499678 + 0.778066i
\(448\) 31.7565 + 19.2434i 1.50036 + 0.909164i
\(449\) 16.2439i 0.766596i 0.923625 + 0.383298i \(0.125212\pi\)
−0.923625 + 0.383298i \(0.874788\pi\)
\(450\) −14.7177 + 3.09615i −0.693799 + 0.145954i
\(451\) 0.619083 + 1.49460i 0.0291515 + 0.0703779i
\(452\) 33.4805 + 15.9011i 1.57479 + 0.747926i
\(453\) 19.2438 + 27.6973i 0.904154 + 1.30133i
\(454\) 2.72997 + 15.8088i 0.128124 + 0.741942i
\(455\) −3.89292 3.89292i −0.182503 0.182503i
\(456\) 5.81852 12.0276i 0.272477 0.563245i
\(457\) −2.84177 + 2.84177i −0.132932 + 0.132932i −0.770442 0.637510i \(-0.779965\pi\)
0.637510 + 0.770442i \(0.279965\pi\)
\(458\) −22.3297 15.7533i −1.04340 0.736102i
\(459\) 6.33689 + 3.75156i 0.295781 + 0.175108i
\(460\) −27.2521 1.38282i −1.27063 0.0644744i
\(461\) −20.8642 + 8.64224i −0.971743 + 0.402509i −0.811361 0.584546i \(-0.801273\pi\)
−0.160382 + 0.987055i \(0.551273\pi\)
\(462\) −0.0244366 + 3.40496i −0.00113690 + 0.158413i
\(463\) −22.3599 −1.03915 −0.519576 0.854424i \(-0.673910\pi\)
−0.519576 + 0.854424i \(0.673910\pi\)
\(464\) 3.22537 5.98775i 0.149734 0.277974i
\(465\) 11.4007 17.7524i 0.528694 0.823248i
\(466\) 26.9989 17.0664i 1.25070 0.790586i
\(467\) 3.58346 + 8.65124i 0.165823 + 0.400332i 0.984847 0.173428i \(-0.0554844\pi\)
−0.819024 + 0.573760i \(0.805484\pi\)
\(468\) −0.963871 + 2.23568i −0.0445550 + 0.103344i
\(469\) −47.0508 19.4891i −2.17260 0.899922i
\(470\) −18.3790 12.9661i −0.847760 0.598082i
\(471\) −14.5565 + 3.17148i −0.670726 + 0.146134i
\(472\) 4.99498 + 8.86728i 0.229913 + 0.408149i
\(473\) 1.14628 1.14628i 0.0527060 0.0527060i
\(474\) 4.59629 10.8750i 0.211114 0.499505i
\(475\) −8.93220 3.69984i −0.409838 0.169760i
\(476\) −12.3942 + 4.41220i −0.568087 + 0.202233i
\(477\) −9.88412 + 10.6300i −0.452563 + 0.486716i
\(478\) −31.0624 7.00159i −1.42076 0.320245i
\(479\) −1.51545 −0.0692426 −0.0346213 0.999401i \(-0.511023\pi\)
−0.0346213 + 0.999401i \(0.511023\pi\)
\(480\) −28.4725 3.10356i −1.29958 0.141657i
\(481\) 2.99813 0.136703
\(482\) −30.0596 6.77555i −1.36918 0.308618i
\(483\) −6.65035 + 36.9286i −0.302601 + 1.68031i
\(484\) 7.31803 + 20.5569i 0.332638 + 0.934404i
\(485\) −29.6960 12.3005i −1.34843 0.558536i
\(486\) 19.7713 9.75169i 0.896845 0.442346i
\(487\) 10.7114 10.7114i 0.485378 0.485378i −0.421466 0.906844i \(-0.638484\pi\)
0.906844 + 0.421466i \(0.138484\pi\)
\(488\) −9.02970 + 32.3251i −0.408756 + 1.46329i
\(489\) −4.60203 21.1224i −0.208111 0.955188i
\(490\) −49.1276 34.6588i −2.21936 1.56572i
\(491\) 20.2550 + 8.38989i 0.914095 + 0.378630i 0.789623 0.613593i \(-0.210276\pi\)
0.124472 + 0.992223i \(0.460276\pi\)
\(492\) 3.05171 + 18.4611i 0.137582 + 0.832289i
\(493\) 0.922155 + 2.22628i 0.0415318 + 0.100267i
\(494\) −1.32291 + 0.836234i −0.0595207 + 0.0376239i
\(495\) −1.09260 2.38837i −0.0491085 0.107349i
\(496\) 12.9186 10.5325i 0.580062 0.472925i
\(497\) −24.8028 −1.11256
\(498\) −23.0679 0.165554i −1.03370 0.00741864i
\(499\) 10.2527 4.24681i 0.458974 0.190113i −0.141203 0.989981i \(-0.545097\pi\)
0.600177 + 0.799867i \(0.295097\pi\)
\(500\) 0.431100 8.49593i 0.0192794 0.379950i
\(501\) 20.6272 + 29.6883i 0.921554 + 1.32638i
\(502\) −18.0221 12.7143i −0.804366 0.567468i
\(503\) 14.9291 14.9291i 0.665655 0.665655i −0.291052 0.956707i \(-0.594005\pi\)
0.956707 + 0.291052i \(0.0940054\pi\)
\(504\) −9.21068 + 38.2923i −0.410276 + 1.70567i
\(505\) 5.62678 + 5.62678i 0.250389 + 0.250389i
\(506\) −0.336400 1.94804i −0.0149548 0.0866007i
\(507\) −18.2573 + 12.6850i −0.810836 + 0.563361i
\(508\) −4.11862 + 8.67191i −0.182734 + 0.384754i
\(509\) 0.540947 + 1.30596i 0.0239770 + 0.0578857i 0.935415 0.353553i \(-0.115027\pi\)
−0.911438 + 0.411438i \(0.865027\pi\)
\(510\) 7.22684 7.12385i 0.320010 0.315449i
\(511\) 25.5432i 1.12997i
\(512\) −20.6192 9.31929i −0.911248 0.411858i
\(513\) 14.0293 + 2.00325i 0.619407 + 0.0884456i
\(514\) 16.3870 + 3.69369i 0.722800 + 0.162922i
\(515\) 1.27139 0.526627i 0.0560241 0.0232059i
\(516\) 15.9208 9.90458i 0.700874 0.436025i
\(517\) 0.623584 1.50547i 0.0274252 0.0662103i
\(518\) 47.7932 8.25325i 2.09991 0.362627i
\(519\) −13.9367 + 3.03645i −0.611754 + 0.133286i
\(520\) 2.63981 + 2.07041i 0.115763 + 0.0907936i
\(521\) −4.02013 4.02013i −0.176125 0.176125i 0.613539 0.789664i \(-0.289745\pi\)
−0.789664 + 0.613539i \(0.789745\pi\)
\(522\) 7.09019 + 1.32945i 0.310329 + 0.0581885i
\(523\) 2.35502 5.68552i 0.102978 0.248610i −0.863990 0.503509i \(-0.832042\pi\)
0.966968 + 0.254899i \(0.0820421\pi\)
\(524\) 43.6981 + 2.21732i 1.90896 + 0.0968642i
\(525\) 28.0476 + 5.05100i 1.22410 + 0.220444i
\(526\) 5.57114 3.52160i 0.242913 0.153549i
\(527\) 5.90561i 0.257253i
\(528\) −0.234230 2.06170i −0.0101935 0.0897238i
\(529\) 1.21549i 0.0528475i
\(530\) 10.6874 + 16.9074i 0.464231 + 0.734410i
\(531\) −7.35061 + 7.90533i −0.318989 + 0.343062i
\(532\) −18.7866 + 16.9721i −0.814501 + 0.735834i
\(533\) 0.838760 2.02495i 0.0363307 0.0877101i
\(534\) 4.81886 + 11.8741i 0.208532 + 0.513841i
\(535\) −0.882097 0.882097i −0.0381364 0.0381364i
\(536\) 29.8898 + 8.34943i 1.29104 + 0.360640i
\(537\) 1.33669 + 6.13513i 0.0576823 + 0.264750i
\(538\) 7.03238 + 40.7233i 0.303187 + 1.75571i
\(539\) 1.66686 4.02415i 0.0717966 0.173332i
\(540\) −6.04030 29.7719i −0.259933 1.28118i
\(541\) 27.0891 11.2207i 1.16465 0.482414i 0.285230 0.958459i \(-0.407930\pi\)
0.879421 + 0.476045i \(0.157930\pi\)
\(542\) −1.08785 + 4.82622i −0.0467271 + 0.207304i
\(543\) −10.2767 6.59973i −0.441014 0.283222i
\(544\) 7.17548 3.57568i 0.307646 0.153306i
\(545\) 13.8856i 0.594794i
\(546\) 3.28542 3.23860i 0.140603 0.138599i
\(547\) 2.18960 + 5.28616i 0.0936205 + 0.226020i 0.963752 0.266800i \(-0.0859662\pi\)
−0.870132 + 0.492820i \(0.835966\pi\)
\(548\) −12.0756 33.9212i −0.515844 1.44904i
\(549\) −35.5750 + 1.29354i −1.51830 + 0.0552071i
\(550\) −1.47955 + 0.255499i −0.0630883 + 0.0108945i
\(551\) 3.27904 + 3.27904i 0.139692 + 0.139692i
\(552\) 1.32260 22.8272i 0.0562936 0.971588i
\(553\) −15.8193 + 15.8193i −0.672703 + 0.672703i
\(554\) 8.99229 12.7462i 0.382046 0.541536i
\(555\) −30.7225 + 21.3457i −1.30410 + 0.906074i
\(556\) −0.750135 + 0.677685i −0.0318128 + 0.0287403i
\(557\) −33.6235 + 13.9273i −1.42467 + 0.590119i −0.956030 0.293268i \(-0.905257\pi\)
−0.468644 + 0.883387i \(0.655257\pi\)
\(558\) 14.8068 + 9.65979i 0.626822 + 0.408932i
\(559\) −2.19631 −0.0928941
\(560\) 47.7806 + 25.7375i 2.01910 + 1.08761i
\(561\) 0.618594 + 0.397264i 0.0261171 + 0.0167725i
\(562\) −15.0764 23.8506i −0.635958 1.00608i
\(563\) 10.2970 + 24.8591i 0.433965 + 1.04768i 0.977997 + 0.208620i \(0.0668972\pi\)
−0.544031 + 0.839065i \(0.683103\pi\)
\(564\) 10.9753 15.3224i 0.462143 0.645191i
\(565\) 50.0494 + 20.7312i 2.10560 + 0.872166i
\(566\) −15.1952 + 21.5386i −0.638702 + 0.905337i
\(567\) −41.6632 + 3.03385i −1.74969 + 0.127410i
\(568\) 15.0050 1.81389i 0.629597 0.0761093i
\(569\) 5.01618 5.01618i 0.210289 0.210289i −0.594101 0.804390i \(-0.702492\pi\)
0.804390 + 0.594101i \(0.202492\pi\)
\(570\) 7.60247 17.9878i 0.318432 0.753424i
\(571\) −8.20928 3.40040i −0.343548 0.142302i 0.204237 0.978921i \(-0.434529\pi\)
−0.547785 + 0.836619i \(0.684529\pi\)
\(572\) −0.104271 + 0.219547i −0.00435980 + 0.00917973i
\(573\) −32.0636 5.77423i −1.33948 0.241222i
\(574\) 7.79639 34.5885i 0.325415 1.44370i
\(575\) −16.5455 −0.689997
\(576\) 2.77180 23.8394i 0.115492 0.993308i
\(577\) 36.7704 1.53077 0.765386 0.643571i \(-0.222548\pi\)
0.765386 + 0.643571i \(0.222548\pi\)
\(578\) 4.66186 20.6822i 0.193908 0.860268i
\(579\) 19.0063 + 3.42279i 0.789875 + 0.142246i
\(580\) 4.26459 8.97926i 0.177078 0.372844i
\(581\) 40.3848 + 16.7279i 1.67544 + 0.693992i
\(582\) 10.4856 24.8093i 0.434642 1.02838i
\(583\) −1.02466 + 1.02466i −0.0424369 + 0.0424369i
\(584\) 1.86804 + 15.4530i 0.0773002 + 0.639448i
\(585\) −1.24138 + 3.33483i −0.0513246 + 0.137878i
\(586\) 19.1076 27.0844i 0.789329 1.11885i
\(587\) 22.3129 + 9.24233i 0.920954 + 0.381472i 0.792240 0.610210i \(-0.208915\pi\)
0.128714 + 0.991682i \(0.458915\pi\)
\(588\) 29.3372 40.9573i 1.20985 1.68905i
\(589\) 4.34912 + 10.4997i 0.179202 + 0.432633i
\(590\) 7.94800 + 12.5737i 0.327214 + 0.517649i
\(591\) −23.2903 14.9572i −0.958036 0.615256i
\(592\) −28.3100 + 8.48824i −1.16353 + 0.348864i
\(593\) −2.15691 −0.0885737 −0.0442868 0.999019i \(-0.514102\pi\)
−0.0442868 + 0.999019i \(0.514102\pi\)
\(594\) 2.00787 0.901161i 0.0823839 0.0369751i
\(595\) −17.7651 + 7.35854i −0.728297 + 0.301671i
\(596\) −16.7512 + 15.1333i −0.686155 + 0.619884i
\(597\) −1.38035 + 0.959057i −0.0564942 + 0.0392516i
\(598\) −1.54398 + 2.18853i −0.0631379 + 0.0894957i
\(599\) 4.80949 4.80949i 0.196511 0.196511i −0.601992 0.798502i \(-0.705626\pi\)
0.798502 + 0.601992i \(0.205626\pi\)
\(600\) −17.3374 1.00453i −0.707798 0.0410097i
\(601\) 5.18282 + 5.18282i 0.211411 + 0.211411i 0.804867 0.593455i \(-0.202237\pi\)
−0.593455 + 0.804867i \(0.702237\pi\)
\(602\) −35.0114 + 6.04600i −1.42696 + 0.246417i
\(603\) 1.19609 + 32.8948i 0.0487086 + 1.33958i
\(604\) 13.0607 + 36.6884i 0.531432 + 1.49283i
\(605\) 12.2048 + 29.4650i 0.496196 + 1.19792i
\(606\) −4.74872 + 4.68104i −0.192903 + 0.190154i
\(607\) 5.19779i 0.210972i 0.994421 + 0.105486i \(0.0336398\pi\)
−0.994421 + 0.105486i \(0.966360\pi\)
\(608\) 10.1242 11.6416i 0.410589 0.472128i
\(609\) −11.5017 7.38643i −0.466071 0.299313i
\(610\) −10.7865 + 47.8540i −0.436731 + 1.93755i
\(611\) −2.03967 + 0.844859i −0.0825162 + 0.0341793i
\(612\) 5.92586 + 6.09847i 0.239539 + 0.246516i
\(613\) 12.1586 29.3536i 0.491083 1.18558i −0.463087 0.886313i \(-0.653258\pi\)
0.954170 0.299266i \(-0.0967419\pi\)
\(614\) −5.13552 29.7389i −0.207253 1.20016i
\(615\) 5.82198 + 26.7217i 0.234765 + 1.07752i
\(616\) −1.05782 + 3.78684i −0.0426207 + 0.152576i
\(617\) −10.7968 10.7968i −0.434663 0.434663i 0.455548 0.890211i \(-0.349443\pi\)
−0.890211 + 0.455548i \(0.849443\pi\)
\(618\) 0.433633 + 1.06851i 0.0174433 + 0.0429817i
\(619\) −11.7667 + 28.4074i −0.472944 + 1.14179i 0.489912 + 0.871772i \(0.337029\pi\)
−0.962856 + 0.270016i \(0.912971\pi\)
\(620\) 18.0773 16.3313i 0.726000 0.655881i
\(621\) 23.4933 6.02053i 0.942753 0.241595i
\(622\) −11.2954 17.8692i −0.452903 0.716488i
\(623\) 24.2822i 0.972848i
\(624\) −1.75075 + 2.19954i −0.0700859 + 0.0880520i
\(625\) 30.1581i 1.20633i
\(626\) 40.6733 25.7102i 1.62563 1.02759i
\(627\) 1.39237 + 0.250748i 0.0556059 + 0.0100139i
\(628\) −17.1806 0.871774i −0.685579 0.0347876i
\(629\) 4.00730 9.67449i 0.159782 0.385747i
\(630\) −10.6087 + 56.5777i −0.422659 + 2.25411i
\(631\) −5.17311 5.17311i −0.205938 0.205938i 0.596600 0.802539i \(-0.296518\pi\)
−0.802539 + 0.596600i \(0.796518\pi\)
\(632\) 8.41333 10.7271i 0.334664 0.426702i
\(633\) −4.13741 + 0.901437i −0.164447 + 0.0358289i
\(634\) 32.5385 5.61897i 1.29227 0.223158i
\(635\) −5.36966 + 12.9635i −0.213088 + 0.514441i
\(636\) −14.2316 + 8.85368i −0.564318 + 0.351071i
\(637\) −5.45209 + 2.25833i −0.216020 + 0.0894782i
\(638\) 0.702534 + 0.158354i 0.0278136 + 0.00626929i
\(639\) 6.66897 + 14.5781i 0.263820 + 0.576701i
\(640\) −30.7882 12.0762i −1.21701 0.477354i
\(641\) 35.5298i 1.40334i −0.712500 0.701672i \(-0.752437\pi\)
0.712500 0.701672i \(-0.247563\pi\)
\(642\) 0.744445 0.733835i 0.0293809 0.0289622i
\(643\) 3.04889 + 7.36067i 0.120237 + 0.290277i 0.972526 0.232793i \(-0.0747866\pi\)
−0.852290 + 0.523070i \(0.824787\pi\)
\(644\) −18.5879 + 39.1376i −0.732466 + 1.54224i
\(645\) 22.5061 15.6370i 0.886176 0.615707i
\(646\) 0.930184 + 5.38654i 0.0365976 + 0.211930i
\(647\) 9.34579 + 9.34579i 0.367421 + 0.367421i 0.866536 0.499115i \(-0.166341\pi\)
−0.499115 + 0.866536i \(0.666341\pi\)
\(648\) 24.9833 4.88234i 0.981435 0.191796i
\(649\) −0.762015 + 0.762015i −0.0299117 + 0.0299117i
\(650\) 1.66221 + 1.17266i 0.0651973 + 0.0459957i
\(651\) −19.1147 27.5114i −0.749163 1.07826i
\(652\) 1.26500 24.9301i 0.0495413 0.976340i
\(653\) −3.13779 + 1.29972i −0.122791 + 0.0508618i −0.443233 0.896406i \(-0.646169\pi\)
0.320442 + 0.947268i \(0.396169\pi\)
\(654\) 11.6352 + 0.0835036i 0.454974 + 0.00326525i
\(655\) 63.9506 2.49876
\(656\) −2.18706 + 21.4953i −0.0853902 + 0.839251i
\(657\) −15.0133 + 6.86805i −0.585725 + 0.267948i
\(658\) −30.1886 + 19.0827i −1.17687 + 0.743920i
\(659\) −12.0747 29.1508i −0.470362 1.13555i −0.964004 0.265889i \(-0.914335\pi\)
0.493642 0.869665i \(1.66433\pi\)
\(660\) −0.494613 2.99212i −0.0192528 0.116468i
\(661\) 21.5134 + 8.91114i 0.836774 + 0.346603i 0.759581 0.650413i \(-0.225404\pi\)
0.0771932 + 0.997016i \(0.475404\pi\)
\(662\) −32.2457 22.7489i −1.25326 0.884159i
\(663\) −0.212038 0.973211i −0.00823487 0.0377964i
\(664\) −25.6551 7.16651i −0.995611 0.278115i
\(665\) −26.1658 + 26.1658i −1.01467 + 1.01467i
\(666\) −17.7015 25.8718i −0.685921 1.00251i
\(667\) 7.33186 + 3.03696i 0.283891 + 0.117591i
\(668\) 13.9996 + 39.3258i 0.541659 + 1.52156i
\(669\) 3.17640 17.6382i 0.122807 0.681931i
\(670\) 44.2488 + 9.97384i 1.70948 + 0.385323i
\(671\) −3.55385 −0.137195
\(672\) −21.8537 + 39.8822i −0.843025 + 1.53849i
\(673\) −27.9251 −1.07643 −0.538216 0.842807i \(-0.680902\pi\)
−0.538216 + 0.842807i \(0.680902\pi\)
\(674\) 10.6546 + 2.40160i 0.410401 + 0.0925060i
\(675\) −4.57265 17.8434i −0.176001 0.686792i
\(676\) −24.1840 + 8.60925i −0.930154 + 0.331125i
\(677\) 6.25960 + 2.59281i 0.240576 + 0.0996498i 0.499714 0.866191i \(-0.333438\pi\)
−0.259138 + 0.965840i \(0.583438\pi\)
\(678\) −17.6723 + 41.8135i −0.678702 + 1.60584i
\(679\) −36.0887 + 36.0887i −1.38496 + 1.38496i
\(680\) 10.2093 5.75093i 0.391507 0.220538i
\(681\) −19.1979 + 4.18273i −0.735665 + 0.160283i
\(682\) 1.44217 + 1.01743i 0.0552234 + 0.0389593i
\(683\) −26.2767 10.8842i −1.00545 0.416471i −0.181657 0.983362i \(-0.558146\pi\)
−0.823793 + 0.566891i \(0.808146\pi\)
\(684\) 15.0269 + 6.47855i 0.574566 + 0.247713i
\(685\) −20.1393 48.6207i −0.769484 1.85770i
\(686\) −41.8553 + 26.4574i −1.59804 + 1.01015i
\(687\) 18.0856 28.1617i 0.690009 1.07444i
\(688\) 20.7388 6.21815i 0.790659 0.237065i
\(689\) 1.96328 0.0747950
\(690\) 0.239840 33.4189i 0.00913057 1.27224i
\(691\) −26.2910 + 10.8901i −1.00016 + 0.414279i −0.821855 0.569697i \(-0.807061\pi\)
−0.178303 + 0.983976i \(0.557061\pi\)
\(692\) −16.4491 0.834658i −0.625301 0.0317289i
\(693\) −4.16756 + 0.151537i −0.158312 + 0.00575641i
\(694\) 8.72088 + 6.15245i 0.331040 + 0.233544i
\(695\) −1.04478 + 1.04478i −0.0396309 + 0.0396309i
\(696\) 7.49839 + 3.62745i 0.284226 + 0.137498i
\(697\) −5.41308 5.41308i −0.205035 0.205035i
\(698\) 0.964929 + 5.58774i 0.0365231 + 0.211499i
\(699\) 22.3209 + 32.1260i 0.844252 + 1.21512i
\(700\) 29.7254 + 14.1177i 1.12351 + 0.533599i
\(701\) 15.7331 + 37.9830i 0.594230 + 1.43460i 0.879383 + 0.476116i \(0.157956\pi\)
−0.285153 + 0.958482i \(0.592044\pi\)
\(702\) −2.78691 1.06025i −0.105185 0.0400165i
\(703\) 20.1516i 0.760032i
\(704\) 0.363010 2.36830i 0.0136815 0.0892585i
\(705\) 14.8858 23.1792i 0.560632 0.872979i
\(706\) −45.5858 10.2752i −1.71564 0.386712i
\(707\) 11.6733 4.83525i 0.439021 0.181848i
\(708\) −10.5837 + 6.58429i −0.397760 + 0.247453i
\(709\) 3.26185 7.87481i 0.122501 0.295745i −0.850718 0.525622i \(-0.823833\pi\)
0.973220 + 0.229877i \(0.0738325\pi\)
\(710\) 21.7686 3.75915i 0.816961 0.141078i
\(711\) 13.5514 + 5.04446i 0.508218 + 0.189182i
\(712\) 1.77582 + 14.6901i 0.0665518 + 0.550535i
\(713\) 13.7526 + 13.7526i 0.515039 + 0.515039i
\(714\) −6.05914 14.9302i −0.226758 0.558750i
\(715\) −0.135944 + 0.328198i −0.00508402 + 0.0122739i
\(716\) −0.367428 + 7.24111i −0.0137314 + 0.270613i
\(717\) 6.91184 38.3806i 0.258127 1.43335i
\(718\) 1.73799 1.09861i 0.0648612 0.0409997i
\(719\) 6.72495i 0.250798i −0.992106 0.125399i \(-0.959979\pi\)
0.992106 0.125399i \(-0.0400211\pi\)
\(720\) 2.28028 35.0039i 0.0849810 1.30452i
\(721\) 2.18508i 0.0813766i
\(722\) −8.73648 13.8210i −0.325138 0.514365i
\(723\) 6.68870 37.1415i 0.248756 1.38131i
\(724\) −9.45401 10.4647i −0.351355 0.388918i
\(725\) 2.30660 5.56862i 0.0856649 0.206813i
\(726\) −24.7631 + 10.0496i −0.919046 + 0.372977i
\(727\) −11.8994 11.8994i −0.441326 0.441326i 0.451132 0.892457i \(-0.351021\pi\)
−0.892457 + 0.451132i \(0.851021\pi\)
\(728\) 4.64127 2.61445i 0.172017 0.0968980i
\(729\) 12.9856 + 23.6722i 0.480947 + 0.876750i
\(730\) 3.87137 + 22.4184i 0.143286 + 0.829744i
\(731\) −2.93559 + 7.08715i −0.108577 + 0.262128i
\(732\) −40.0336 9.32613i −1.47969 0.344704i
\(733\) −27.8224 + 11.5244i −1.02764 + 0.425664i −0.831861 0.554984i \(-0.812724\pi\)
−0.195782 + 0.980647i \(0.562724\pi\)
\(734\) −3.63212 + 16.1138i −0.134064 + 0.594772i
\(735\) 39.7901 61.9586i 1.46768 2.28538i
\(736\) 8.38296 25.0366i 0.309000 0.922861i
\(737\) 3.28611i 0.121045i
\(738\) −22.4261 + 4.71775i −0.825515 + 0.173663i
\(739\) −9.46555 22.8519i −0.348196 0.840619i −0.996833 0.0795214i \(-0.974661\pi\)
0.648637 0.761098i \(-0.275339\pi\)
\(740\) −40.6956 + 14.4872i −1.49600 + 0.532561i
\(741\) −1.09370 1.57414i −0.0401779 0.0578274i
\(742\) 31.2966 5.40451i 1.14893 0.198406i
\(743\) 34.0574 + 34.0574i 1.24944 + 1.24944i 0.955966 + 0.293479i \(0.0948130\pi\)
0.293479 + 0.955966i \(0.405187\pi\)
\(744\) 13.5759 + 15.2458i 0.497715 + 0.558937i
\(745\) −23.3309 + 23.3309i −0.854778 + 0.854778i
\(746\) 10.2497 14.5286i 0.375268 0.531929i
\(747\) −1.02663 28.2344i −0.0375626 1.03304i
\(748\) 0.569074 + 0.629913i 0.0208074 + 0.0230319i
\(749\) −1.83000 + 0.758011i −0.0668667 + 0.0276971i
\(750\) 10.4185 + 0.0747711i 0.380429 + 0.00273025i
\(751\) −28.4849 −1.03943 −0.519714 0.854341i \(-0.673961\pi\)
−0.519714 + 0.854341i \(0.673961\pi\)
\(752\) 16.8677 13.7523i 0.615103 0.501494i
\(753\) 14.5967 22.7291i 0.531935 0.828294i
\(754\) −0.521335 0.824746i −0.0189859 0.0300355i
\(755\) 21.7822 + 52.5870i 0.792737 + 1.91384i
\(756\) −47.3446 9.22960i −1.72191 0.335677i
\(757\) 25.6728 + 10.6340i 0.933093 + 0.386500i 0.796851 0.604176i \(-0.206498\pi\)
0.136242 + 0.990676i \(0.456498\pi\)
\(758\) 13.4677 19.0900i 0.489170 0.693381i
\(759\) 2.36566 0.515417i 0.0858681 0.0187085i
\(760\) 13.9160 17.7432i 0.504787 0.643613i