Properties

Label 96.2.o.a.11.8
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 11.8
Character \(\chi\) = 96.11
Dual form 96.2.o.a.35.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.310967 - 1.37960i) q^{2} +(0.988287 - 1.42242i) q^{3} +(-1.80660 - 0.858022i) q^{4} +(2.70066 + 1.11865i) q^{5} +(-1.65505 - 1.80577i) q^{6} +(-3.28204 + 3.28204i) q^{7} +(-1.74552 + 2.22557i) q^{8} +(-1.04658 - 2.81152i) q^{9} +O(q^{10})\) \(q+(0.310967 - 1.37960i) q^{2} +(0.988287 - 1.42242i) q^{3} +(-1.80660 - 0.858022i) q^{4} +(2.70066 + 1.11865i) q^{5} +(-1.65505 - 1.80577i) q^{6} +(-3.28204 + 3.28204i) q^{7} +(-1.74552 + 2.22557i) q^{8} +(-1.04658 - 2.81152i) q^{9} +(2.38311 - 3.37797i) q^{10} +(-0.276697 - 0.114612i) q^{11} +(-3.00591 + 1.72178i) 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} +(-4.20423 + 0.569569i) q^{18} +(-2.51972 + 1.04370i) q^{19} +(-3.91918 - 4.33817i) q^{20} +(1.42485 + 7.91204i) q^{21} +(-0.244162 + 0.346091i) q^{22} +(3.30034 - 3.30034i) q^{23} +(1.44063 + 4.68237i) q^{24} +(2.50664 + 2.50664i) q^{25} +(-0.565473 + 0.0976497i) q^{26} +(-5.03350 - 1.28991i) q^{27} +(8.74538 - 3.11326i) q^{28} +(0.650676 + 1.57087i) q^{29} +(-2.44971 - 6.72819i) 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} +(-0.521602 + 5.97728i) q^{36} +(-2.82757 + 6.82635i) q^{37} +(0.656341 + 3.80076i) q^{38} +(-0.686701 - 0.149615i) q^{39} +(-7.20368 + 4.05787i) q^{40} +(-3.81949 - 3.81949i) q^{41} +(11.3585 + 0.494656i) q^{42} +(2.07136 - 5.00071i) q^{43} +(0.401541 + 0.444469i) q^{44} +(0.318658 - 8.76372i) q^{45} +(-3.52686 - 5.57945i) q^{46} +5.44085i q^{47} +(6.90779 - 0.531426i) q^{48} -14.5435i q^{49} +(4.23765 - 2.67868i) q^{50} +(1.40063 - 2.01590i) q^{51} +(-0.0411259 + 0.810493i) q^{52} +(1.85159 - 4.47012i) q^{53} +(-3.34482 + 6.54310i) q^{54} +(-0.619053 - 0.619053i) q^{55} +(-1.57553 - 13.0333i) q^{56} +(-1.00562 + 4.61558i) q^{57} +(2.36951 - 0.409184i) q^{58} +(1.37699 - 3.32434i) q^{59} +(-10.0440 + 1.28738i) 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} +(0.250986 + 0.689338i) q^{66} +(4.19888 + 10.1370i) q^{67} +(-2.56036 - 1.21601i) q^{68} +(-1.43280 - 7.95617i) q^{69} +(3.26517 + 18.9080i) q^{70} +(-3.77857 - 3.77857i) q^{71} +(8.08407 + 2.57834i) q^{72} +(-3.89137 + 3.89137i) q^{73} +(8.53836 + 6.02369i) q^{74} +(6.04279 - 1.08823i) q^{75} +(5.44763 + 0.276423i) q^{76} +(1.28429 - 0.531970i) q^{77} +(-0.419950 + 0.900848i) 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} +(4.21456 - 15.5164i) q^{84} +(3.82744 + 1.58538i) q^{85} +(-6.25486 - 4.41271i) q^{86} +(2.87750 + 0.626933i) q^{87} +(0.738056 - 0.415751i) q^{88} +(3.69926 - 3.69926i) q^{89} +(-11.9913 - 3.16485i) q^{90} +(1.74001 + 0.720735i) q^{91} +(-8.79416 + 3.13063i) q^{92} +(-5.92727 - 4.11821i) q^{93} +(7.50620 + 1.69193i) q^{94} -7.97242 q^{95} +(1.41494 - 9.69525i) q^{96} +10.9958 q^{97} +(-20.0643 - 4.52256i) q^{98} +(-0.0326483 + 0.897890i) 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
\(3\) 0.988287 1.42242i 0.570588 0.821237i
\(4\) −1.80660 0.858022i −0.903299 0.429011i
\(5\) 2.70066 + 1.11865i 1.20777 + 0.500275i 0.893502 0.449059i \(-0.148241\pi\)
0.314269 + 0.949334i \(0.398241\pi\)
\(6\) −1.65505 1.80577i −0.675672 0.737202i
\(7\) −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
\(9\) −1.04658 2.81152i −0.348860 0.937175i
\(10\) 2.38311 3.37797i 0.753604 1.06821i
\(11\) −0.276697 0.114612i −0.0834272 0.0345567i 0.340580 0.940216i \(-0.389377\pi\)
−0.424007 + 0.905659i \(0.639377\pi\)
\(12\) −3.00591 + 1.72178i −0.867731 + 0.497034i
\(13\) −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 \(-0.445021\pi\)
0.171864 + 0.985121i \(0.445021\pi\)
\(18\) −4.20423 + 0.569569i −0.990948 + 0.134249i
\(19\) −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
\(21\) 1.42485 + 7.91204i 0.310929 + 1.72655i
\(22\) −0.244162 + 0.346091i −0.0520555 + 0.0737868i
\(23\) 3.30034 3.30034i 0.688169 0.688169i −0.273658 0.961827i \(-0.588234\pi\)
0.961827 + 0.273658i \(0.0882337\pi\)
\(24\) 1.44063 + 4.68237i 0.294067 + 0.955785i
\(25\) 2.50664 + 2.50664i 0.501328 + 0.501328i
\(26\) −0.565473 + 0.0976497i −0.110898 + 0.0191507i
\(27\) −5.03350 1.28991i −0.968698 0.248244i
\(28\) 8.74538 3.11326i 1.65272 0.588352i
\(29\) 0.650676 + 1.57087i 0.120827 + 0.291703i 0.972708 0.232033i \(-0.0745377\pi\)
−0.851880 + 0.523736i \(0.824538\pi\)
\(30\) −2.44971 6.72819i −0.447254 1.22839i
\(31\) 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
\(36\) −0.521602 + 5.97728i −0.0869336 + 0.996214i
\(37\) −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
\(39\) −0.686701 0.149615i −0.109960 0.0239575i
\(40\) −7.20368 + 4.05787i −1.13900 + 0.641606i
\(41\) −3.81949 3.81949i −0.596504 0.596504i 0.342877 0.939380i \(-0.388599\pi\)
−0.939380 + 0.342877i \(0.888599\pi\)
\(42\) 11.3585 + 0.494656i 1.75266 + 0.0763271i
\(43\) 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
\(45\) 0.318658 8.76372i 0.0475028 1.30642i
\(46\) −3.52686 5.57945i −0.520007 0.822645i
\(47\) 5.44085i 0.793629i 0.917899 + 0.396815i \(0.129884\pi\)
−0.917899 + 0.396815i \(0.870116\pi\)
\(48\) 6.90779 0.531426i 0.997054 0.0767048i
\(49\) 14.5435i 2.07765i
\(50\) 4.23765 2.67868i 0.599294 0.378823i
\(51\) 1.40063 2.01590i 0.196127 0.282282i
\(52\) −0.0411259 + 0.810493i −0.00570314 + 0.112395i
\(53\) 1.85159 4.47012i 0.254335 0.614019i −0.744210 0.667946i \(-0.767174\pi\)
0.998545 + 0.0539269i \(0.0171738\pi\)
\(54\) −3.34482 + 6.54310i −0.455172 + 0.890403i
\(55\) −0.619053 0.619053i −0.0834731 0.0834731i
\(56\) −1.57553 13.0333i −0.210540 1.74164i
\(57\) −1.00562 + 4.61558i −0.133197 + 0.611348i
\(58\) 2.36951 0.409184i 0.311132 0.0537284i
\(59\) 1.37699 3.32434i 0.179268 0.432792i −0.808545 0.588434i \(-0.799745\pi\)
0.987814 + 0.155642i \(0.0497447\pi\)
\(60\) −10.0440 + 1.28738i −1.29667 + 0.166199i
\(61\) −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
\(66\) 0.250986 + 0.689338i 0.0308942 + 0.0848517i
\(67\) 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
\(69\) −1.43280 7.95617i −0.172489 0.957810i
\(70\) 3.26517 + 18.9080i 0.390263 + 2.25994i
\(71\) −3.77857 3.77857i −0.448434 0.448434i 0.446400 0.894834i \(-0.352706\pi\)
−0.894834 + 0.446400i \(0.852706\pi\)
\(72\) 8.08407 + 2.57834i 0.952717 + 0.303861i
\(73\) −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
\(75\) 6.04279 1.08823i 0.697761 0.125657i
\(76\) 5.44763 + 0.276423i 0.624886 + 0.0317079i
\(77\) 1.28429 0.531970i 0.146358 0.0606236i
\(78\) −0.419950 + 0.900848i −0.0475500 + 0.102001i
\(79\) 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 \(0.0479003\pi\)
−0.593109 + 0.805122i \(0.702100\pi\)
\(84\) 4.21456 15.5164i 0.459847 1.69298i
\(85\) 3.82744 + 1.58538i 0.415145 + 0.171959i
\(86\) −6.25486 4.41271i −0.674479 0.475835i
\(87\) 2.87750 + 0.626933i 0.308500 + 0.0672143i
\(88\) 0.738056 0.415751i 0.0786770 0.0443192i
\(89\) 3.69926 3.69926i 0.392121 0.392121i −0.483322 0.875443i \(-0.660570\pi\)
0.875443 + 0.483322i \(0.160570\pi\)
\(90\) −11.9913 3.16485i −1.26400 0.333605i
\(91\) 1.74001 + 0.720735i 0.182402 + 0.0755536i
\(92\) −8.79416 + 3.13063i −0.916854 + 0.326390i
\(93\) −5.92727 4.11821i −0.614629 0.427039i
\(94\) 7.50620 + 1.69193i 0.774206 + 0.174509i
\(95\) −7.97242 −0.817953
\(96\) 1.41494 9.69525i 0.144412 0.989518i
\(97\) 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
\(99\) −0.0326483 + 0.897890i −0.00328127 + 0.0902413i
\(100\) −2.37774 6.67925i −0.237774 0.667925i
\(101\) 2.51499 + 1.04174i 0.250251 + 0.103657i 0.504283 0.863538i \(-0.331757\pi\)
−0.254032 + 0.967196i \(0.581757\pi\)
\(102\) −2.34558 2.55918i −0.232248 0.253397i
\(103\) −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
\(105\) −5.00275 + 22.9616i −0.488219 + 2.24082i
\(106\) −5.59121 3.94451i −0.543066 0.383125i
\(107\) −0.394269 0.163312i −0.0381154 0.0157879i 0.363544 0.931577i \(-0.381567\pi\)
−0.401660 + 0.915789i \(0.631567\pi\)
\(108\) 7.98674 + 6.64921i 0.768524 + 0.639820i
\(109\) 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 \(-0.163026\pi\)
0.871687 + 0.490063i \(0.163026\pi\)
\(114\) 6.05494 + 2.82264i 0.567097 + 0.264365i
\(115\) 12.6050 5.22117i 1.17542 0.486876i
\(116\) 0.172331 3.39623i 0.0160005 0.315332i
\(117\) −0.891473 + 0.828917i −0.0824167 + 0.0766334i
\(118\) −4.15806 2.93345i −0.382781 0.270046i
\(119\) −4.65139 + 4.65139i −0.426392 + 0.426392i
\(120\) −1.34729 + 14.2570i −0.122990 + 1.30148i
\(121\) −7.71475 7.71475i −0.701341 0.701341i
\(122\) 2.85564 + 16.5365i 0.258538 + 1.49715i
\(123\) −9.20768 + 1.65818i −0.830229 + 0.149513i
\(124\) −3.57539 + 7.52813i −0.321080 + 0.676046i
\(125\) −1.62772 3.92966i −0.145587 0.351479i
\(126\) 11.9291 15.6678i 1.06273 1.39580i
\(127\) 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 \(-0.220093\pi\)
0.995589 0.0938185i \(-0.0299073\pi\)
\(132\) 1.02906 0.131898i 0.0895682 0.0114803i
\(133\) 4.84434 11.6953i 0.420057 1.01411i
\(134\) 15.2907 2.64050i 1.32092 0.228105i
\(135\) −12.1508 9.11434i −1.04577 0.784437i
\(136\) −2.47380 + 3.15414i −0.212127 + 0.270465i
\(137\) −12.7302 12.7302i −1.08762 1.08762i −0.995773 0.0918436i \(-0.970724\pi\)
−0.0918436 0.995773i \(1.47072\pi\)
\(138\) −11.4219 0.497415i −0.972296 0.0423428i
\(139\) 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
\(141\) 7.73919 + 5.37712i 0.651758 + 0.452835i
\(142\) −6.38793 + 4.03791i −0.536063 + 0.338854i
\(143\) 0.121525i 0.0101624i
\(144\) 6.07097 10.3510i 0.505914 0.862584i
\(145\) 4.97026i 0.412758i
\(146\) 4.15845 + 6.57862i 0.344156 + 0.544451i
\(147\) −20.6871 14.3732i −1.70624 1.18548i
\(148\) 10.9654 9.90636i 0.901353 0.814298i
\(149\) −4.31949 + 10.4282i −0.353866 + 0.854308i 0.642269 + 0.766479i \(0.277993\pi\)
−0.996136 + 0.0878294i \(0.972007\pi\)
\(150\) 0.377791 8.67504i 0.0308465 0.708314i
\(151\) −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
\(153\) −1.48324 3.98457i −0.119913 0.322133i
\(154\) −0.334534 1.93723i −0.0269575 0.156106i
\(155\) 4.66143 11.2537i 0.374415 0.903918i
\(156\) 1.11222 + 0.859498i 0.0890489 + 0.0688149i
\(157\) 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
\(162\) 6.00142 + 11.2242i 0.471516 + 0.881857i
\(163\) 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
\(165\) −1.49236 + 0.268754i −0.116180 + 0.0209225i
\(166\) 13.1244 2.26641i 1.01865 0.175907i
\(167\) 14.7585 + 14.7585i 1.14205 + 1.14205i 0.988076 + 0.153970i \(0.0492059\pi\)
0.153970 + 0.988076i \(0.450794\pi\)
\(168\) −20.0959 10.6395i −1.55043 0.820857i
\(169\) 9.07596 9.07596i 0.698151 0.698151i
\(170\) 3.37740 4.78734i 0.259035 0.367173i
\(171\) 5.57147 + 5.99193i 0.426061 + 0.458214i
\(172\) −8.03284 + 7.25701i −0.612499 + 0.553342i
\(173\) −7.60827 + 3.15145i −0.578446 + 0.239600i −0.652671 0.757641i \(-0.726352\pi\)
0.0742253 + 0.997241i \(0.476352\pi\)
\(174\) 1.75973 3.77484i 0.133404 0.286170i
\(175\) −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 0.967208 0.253987i \(-0.0817422\pi\)
−0.863515 + 0.504323i \(0.831742\pi\)
\(180\) −8.09515 + 15.5591i −0.603377 + 1.15971i
\(181\) 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
\(183\) −4.37529 + 20.0817i −0.323431 + 1.48448i
\(184\) 1.58432 + 13.1060i 0.116798 + 0.966184i
\(185\) −15.2726 + 15.2726i −1.12286 + 1.12286i
\(186\) −7.52467 + 6.89664i −0.551736 + 0.505686i
\(187\) −0.392142 0.162431i −0.0286763 0.0118781i
\(188\) 4.66837 9.82943i 0.340476 0.716885i
\(189\) 20.7537 12.2866i 1.50961 0.893718i
\(190\) −2.47916 + 10.9988i −0.179857 + 0.797934i
\(191\) −18.8097 −1.36102 −0.680511 0.732737i \(-0.738242\pi\)
−0.680511 + 0.732737i \(0.738242\pi\)
\(192\) −12.9356 4.96696i −0.933545 0.358460i
\(193\) −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
\(195\) −1.68718 1.17224i −0.120821 0.0839455i
\(196\) −12.4787 + 26.2743i −0.891333 + 1.87674i
\(197\) −14.7643 6.11558i −1.05191 0.435717i −0.211340 0.977413i \(-0.567783\pi\)
−0.840575 + 0.541696i \(0.817783\pi\)
\(198\) 1.22858 + 0.324256i 0.0873112 + 0.0230439i
\(199\) 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
\(201\) 18.5688 + 4.04566i 1.30974 + 0.285359i
\(202\) 2.21927 3.14574i 0.156147 0.221333i
\(203\) −7.29119 3.02011i −0.511742 0.211970i
\(204\) −4.26005 + 2.44015i −0.298263 + 0.170845i
\(205\) −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
\(210\) 30.1222 + 14.0421i 2.07863 + 0.968998i
\(211\) 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
\(213\) −9.10904 + 1.64042i −0.624141 + 0.112400i
\(214\) −0.347910 + 0.493149i −0.0237826 + 0.0337110i
\(215\) 11.1881 11.1881i 0.763021 0.763021i
\(216\) 11.6569 8.95083i 0.793150 0.609027i
\(217\) 13.6763 + 13.6763i 0.928409 + 0.928409i
\(218\) 6.61980 1.14315i 0.448349 0.0774240i
\(219\) 1.68939 + 9.38096i 0.114158 + 0.633907i
\(220\) 0.587219 + 1.64954i 0.0395903 + 0.111212i
\(221\) −0.220068 0.531291i −0.0148034 0.0357385i
\(222\) 17.0066 6.19204i 1.14141 0.415582i
\(223\) 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 −0.702336 0.711846i \(-0.747859\pi\)
0.00672494 + 0.999977i \(0.497859\pi\)
\(228\) 5.77701 7.47566i 0.382592 0.495087i
\(229\) −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
\(231\) 0.512559 2.35254i 0.0337239 0.154786i
\(232\) −4.63185 1.29386i −0.304096 0.0849463i
\(233\) 15.9703 + 15.9703i 1.04625 + 1.04625i 0.998877 + 0.0473714i \(0.0150844\pi\)
0.0473714 + 0.998877i \(0.484916\pi\)
\(234\) 0.866357 + 1.48764i 0.0566355 + 0.0972503i
\(235\) −6.08640 + 14.6939i −0.397033 + 0.958522i
\(236\) −5.34001 + 4.82426i −0.347605 + 0.314033i
\(237\) 4.76349 6.85601i 0.309422 0.445346i
\(238\) 4.97063 + 7.86349i 0.322198 + 0.509715i
\(239\) 22.5155i 1.45641i −0.685361 0.728204i \(-0.740355\pi\)
0.685361 0.728204i \(-0.259645\pi\)
\(240\) 19.2501 + 6.29219i 1.24259 + 0.406159i
\(241\) 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
\(243\) 1.64133 + 15.5018i 0.105291 + 0.994441i
\(244\) 23.7018 + 1.20268i 1.51735 + 0.0769934i
\(245\) 16.2691 39.2771i 1.03939 2.50932i
\(246\) −0.575659 + 13.2186i −0.0367027 + 0.842785i
\(247\) 0.782526 + 0.782526i 0.0497909 + 0.0497909i
\(248\) 9.27399 + 7.27362i 0.588899 + 0.461875i
\(249\) 15.9380 + 3.47249i 1.01003 + 0.220060i
\(250\) −5.92753 + 1.02361i −0.374890 + 0.0647385i
\(251\) 5.96821 14.4085i 0.376710 0.909458i −0.615868 0.787849i \(-0.711195\pi\)
0.992578 0.121609i \(-0.0388054\pi\)
\(252\) −17.9058 21.3296i −1.12796 1.34364i
\(253\) −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 \(0.120802\pi\)
−0.928846 + 0.370467i \(0.879198\pi\)
\(258\) −12.4583 + 4.53604i −0.775623 + 0.282402i
\(259\) −13.1242 31.6845i −0.815495 1.96878i
\(260\) −1.01772 + 2.14286i −0.0631166 + 0.132894i
\(261\) 3.73556 3.47343i 0.231225 0.215000i
\(262\) −5.26483 30.4877i −0.325262 1.88354i
\(263\) 3.29543 + 3.29543i 0.203205 + 0.203205i 0.801372 0.598167i \(-0.204104\pi\)
−0.598167 + 0.801372i \(0.704104\pi\)
\(264\) 0.138037 1.46071i 0.00849559 0.0899004i
\(265\) 10.0010 10.0010i 0.614357 0.614357i
\(266\) −14.6284 10.3201i −0.896923 0.632766i
\(267\) −1.60599 8.91786i −0.0982849 0.545764i
\(268\) 1.11207 21.9162i 0.0679304 1.33874i
\(269\) −26.9975 + 11.1827i −1.64607 + 0.681824i −0.996890 0.0788107i \(-0.974888\pi\)
−0.649180 + 0.760635i \(0.724888\pi\)
\(270\) −16.3526 + 13.9290i −0.995190 + 0.847692i
\(271\) 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
\(276\) −4.23807 + 15.6030i −0.255102 + 0.939189i
\(277\) −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
\(279\) −11.7157 + 4.36112i −0.701399 + 0.261093i
\(280\) 10.3247 36.9608i 0.617017 2.20883i
\(281\) 14.1081 14.1081i 0.841616 0.841616i −0.147453 0.989069i \(-0.547107\pi\)
0.989069 + 0.147453i \(0.0471074\pi\)
\(282\) 9.82492 9.00489i 0.585065 0.536234i
\(283\) 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
\(285\) −7.87904 + 11.3402i −0.466714 + 0.671733i
\(286\) 0.167656 + 0.0377904i 0.00991372 + 0.00223459i
\(287\) 25.0714 1.47992
\(288\) −12.3924 11.5943i −0.730229 0.683203i
\(289\) −14.9915 −0.881851
\(290\) 6.85698 + 1.54559i 0.402655 + 0.0907601i
\(291\) 10.8670 15.6407i 0.637037 0.916877i
\(292\) 10.3690 3.69126i 0.606801 0.216015i
\(293\) 21.6538 + 8.96928i 1.26503 + 0.523991i 0.911448 0.411414i \(-0.134965\pi\)
0.353577 + 0.935405i \(0.384965\pi\)
\(294\) −26.2622 + 24.0703i −1.53165 + 1.40381i
\(295\) 7.43753 7.43753i 0.433030 0.433030i
\(296\) −10.2569 18.2085i −0.596172 1.05835i
\(297\) 1.24491 + 0.933812i 0.0722372 + 0.0541853i
\(298\) 13.0435 + 9.20199i 0.755589 + 0.533057i
\(299\) −1.74971 0.724755i −0.101189 0.0419137i
\(300\) −11.8506 3.21885i −0.684195 0.185841i
\(301\) 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
\(306\) −5.95835 + 0.807208i −0.340616 + 0.0461450i
\(307\) −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
\(309\) 0.144518 + 0.802489i 0.00822132 + 0.0456520i
\(310\) −14.0761 9.93045i −0.799466 0.564012i
\(311\) 10.5699 10.5699i 0.599365 0.599365i −0.340779 0.940144i \(-0.610691\pi\)
0.940144 + 0.340779i \(0.110691\pi\)
\(312\) 1.53163 1.26714i 0.0867114 0.0717379i
\(313\) −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
\(315\) 27.7170 + 29.8087i 1.56168 + 1.67953i
\(316\) −8.70772 4.13562i −0.489847 0.232647i
\(317\) 8.93517 + 21.5714i 0.501849 + 1.21157i 0.948475 + 0.316851i \(0.102625\pi\)
−0.446626 + 0.894721i \(0.647375\pi\)
\(318\) −11.1365 + 4.05476i −0.624503 + 0.227379i
\(319\) 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
\(324\) 17.3512 4.78920i 0.963955 0.266067i
\(325\) 0.550458 1.32892i 0.0305339 0.0737154i
\(326\) 17.3935 3.00363i 0.963338 0.166356i
\(327\) 8.03897 + 1.75149i 0.444556 + 0.0968575i
\(328\) 15.1675 1.83354i 0.837487 0.101240i
\(329\) −17.8571 17.8571i −0.984492 0.984492i
\(330\) −0.0933013 + 2.14243i −0.00513607 + 0.117937i
\(331\) −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
\(333\) 22.1517 + 0.805461i 1.21391 + 0.0441390i
\(334\) 24.9502 15.7714i 1.36522 0.862973i
\(335\) 32.0736i 1.75237i
\(336\) −20.9275 + 24.4158i −1.14169 + 1.33199i
\(337\) 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
\(339\) 18.3152 26.3608i 0.994747 1.43172i
\(340\) −5.55437 6.14817i −0.301228 0.333432i
\(341\) −0.477589 + 1.15300i −0.0258629 + 0.0624385i
\(342\) 9.99902 5.82311i 0.540685 0.314878i
\(343\) 24.7581 + 24.7581i 1.33681 + 1.33681i
\(344\) 7.51382 + 13.3388i 0.405118 + 0.719181i
\(345\) 5.03065 23.0897i 0.270841 1.24311i
\(346\) 1.98182 + 11.4764i 0.106543 + 0.616973i
\(347\) −2.88801 + 6.97227i −0.155037 + 0.374291i −0.982245 0.187604i \(-0.939928\pi\)
0.827208 + 0.561896i \(0.189928\pi\)
\(348\) −4.66056 3.60157i −0.249832 0.193065i
\(349\) 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 \(-0.657982\pi\)
0.476189 0.879343i \(-0.342018\pi\)
\(354\) −8.28197 + 3.01544i −0.440182 + 0.160269i
\(355\) −5.97773 14.4315i −0.317265 0.765945i
\(356\) −9.85714 + 3.50904i −0.522427 + 0.185979i
\(357\) 2.01934 + 11.2132i 0.106875 + 0.593463i
\(358\) 5.05205 0.872422i 0.267009 0.0461090i
\(359\) 1.02805 + 1.02805i 0.0542584 + 0.0542584i 0.733715 0.679457i \(-0.237785\pi\)
−0.679457 + 0.733715i \(0.737785\pi\)
\(360\) 18.9480 + 16.0065i 0.998649 + 0.843614i
\(361\) −8.17537 + 8.17537i −0.430283 + 0.430283i
\(362\) 5.74863 8.14847i 0.302141 0.428274i
\(363\) −18.5980 + 3.34926i −0.976143 + 0.175791i
\(364\) −2.52509 2.79504i −0.132351 0.146500i
\(365\) −14.8623 + 6.15618i −0.777930 + 0.322229i
\(366\) 26.3441 + 12.2809i 1.37703 + 0.641933i
\(367\) 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
\(372\) 7.17468 + 12.5257i 0.371990 + 0.649426i
\(373\) −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
\(375\) −7.19829 1.56832i −0.371718 0.0809879i
\(376\) −12.1090 9.49712i −0.624473 0.489776i
\(377\) 0.487851 0.487851i 0.0251256 0.0251256i
\(378\) −10.4969 32.4525i −0.539901 1.66918i
\(379\) −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
\(381\) −6.82782 4.74390i −0.349800 0.243038i
\(382\) −5.84921 + 25.9499i −0.299271 + 1.32771i
\(383\) −28.9536 −1.47946 −0.739729 0.672905i \(-0.765046\pi\)
−0.739729 + 0.672905i \(0.765046\pi\)
\(384\) −10.8750 + 16.3014i −0.554961 + 0.831876i
\(385\) 4.06351 0.207096
\(386\) −3.46723 + 15.3823i −0.176477 + 0.782939i
\(387\) −16.2275 0.590049i −0.824889 0.0299939i
\(388\) −19.8651 9.43467i −1.00850 0.478973i
\(389\) −6.31149 2.61431i −0.320005 0.132551i 0.216898 0.976194i \(-0.430406\pi\)
−0.536903 + 0.843644i \(0.680406\pi\)
\(390\) −2.14187 + 1.96311i −0.108458 + 0.0994057i
\(391\) 4.67733 4.67733i 0.236543 0.236543i
\(392\) 32.3676 + 25.3860i 1.63481 + 1.28219i
\(393\) 8.06654 37.0238i 0.406903 1.86760i
\(394\) −13.0283 + 18.4671i −0.656356 + 0.930361i
\(395\) 13.0170 + 5.39183i 0.654958 + 0.271293i
\(396\) 0.829391 1.59411i 0.0416785 0.0801072i
\(397\) −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 \(-0.468648\pi\)
0.0983371 + 0.995153i \(0.468648\pi\)
\(402\) 11.3557 24.3594i 0.566370 1.21494i
\(403\) −1.56214 + 0.647058i −0.0778155 + 0.0322322i
\(404\) −3.64974 4.03993i −0.181581 0.200994i
\(405\) −24.9729 + 8.27601i −1.24091 + 0.411238i
\(406\) −6.43387 + 9.11978i −0.319308 + 0.452607i
\(407\) 1.56476 1.56476i 0.0775621 0.0775621i
\(408\) 2.04170 + 6.63598i 0.101079 + 0.328530i
\(409\) 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
\(411\) −30.6889 + 5.52667i −1.51377 + 0.272610i
\(412\) 0.887012 0.315767i 0.0436999 0.0155567i
\(413\) 6.39128 + 15.4299i 0.314494 + 0.759256i
\(414\) −11.9956 + 15.7552i −0.589553 + 0.774325i
\(415\) 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 −0.236163 0.971714i \(-0.575890\pi\)
0.520113 + 0.854097i \(0.325890\pi\)
\(420\) 28.7395 37.1900i 1.40235 1.81468i
\(421\) 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
\(423\) 15.2971 5.69428i 0.743770 0.276865i
\(424\) 6.71659 + 11.9235i 0.326186 + 0.579058i
\(425\) 3.55248 + 3.55248i 0.172321 + 0.172321i
\(426\) −0.569491 + 13.0770i −0.0275919 + 0.633580i
\(427\) 21.0770 50.8843i 1.01999 2.46246i
\(428\) 0.572161 + 0.633330i 0.0276564 + 0.0306132i
\(429\) 0.172860 + 0.120102i 0.00834578 + 0.00579857i
\(430\) −11.9560 18.9142i −0.576568 0.912125i
\(431\) 33.6809i 1.62235i −0.584801 0.811177i \(-0.698827\pi\)
0.584801 0.811177i \(-0.301173\pi\)
\(432\) −8.72367 18.8652i −0.419718 0.907655i
\(433\) 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
\(435\) 7.06982 + 4.91204i 0.338972 + 0.235514i
\(436\) 0.481447 9.48817i 0.0230572 0.454401i
\(437\) −4.87135 + 11.7605i −0.233028 + 0.562580i
\(438\) 13.4673 + 0.586492i 0.643494 + 0.0280237i
\(439\) 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
\(441\) −40.8895 + 15.2209i −1.94712 + 0.724807i
\(442\) −0.801403 + 0.138392i −0.0381189 + 0.00658263i
\(443\) −10.7190 + 25.8778i −0.509273 + 1.22949i 0.435030 + 0.900416i \(0.356738\pi\)
−0.944303 + 0.329077i \(0.893262\pi\)
\(444\) −3.25405 25.3878i −0.154430 1.20485i
\(445\) 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 \(-0.874788\pi\)
0.923625 0.383298i \(-0.125212\pi\)
\(450\) −11.9662 9.11080i −0.564093 0.429487i
\(451\) 0.619083 + 1.49460i 0.0291515 + 0.0703779i
\(452\) −33.4805 15.9011i −1.57479 0.747926i
\(453\) −33.1924 + 5.97751i −1.55952 + 0.280848i
\(454\) 2.72997 + 15.8088i 0.128124 + 0.741942i
\(455\) 3.89292 + 3.89292i 0.182503 + 0.182503i
\(456\) −8.51696 10.2947i −0.398843 0.482092i
\(457\) −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
\(459\) −7.13361 1.82810i −0.332968 0.0853284i
\(460\) −27.2521 1.38282i −1.27063 0.0644744i
\(461\) 20.8642 8.64224i 0.971743 0.402509i 0.160382 0.987055i \(-0.448727\pi\)
0.811361 + 0.584546i \(0.198727\pi\)
\(462\) −3.08618 1.43869i −0.143582 0.0669339i
\(463\) −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 0.819024 0.573760i \(-0.194516\pi\)
−0.984847 + 0.173428i \(0.944516\pi\)
\(468\) 2.32176 0.732618i 0.107324 0.0338653i
\(469\) −47.0508 19.4891i −2.17260 0.899922i
\(470\) 18.3790 + 12.9661i 0.847760 + 0.598082i
\(471\) 3.17148 14.5565i 0.146134 0.670726i
\(472\) 4.99498 + 8.86728i 0.229913 + 0.408149i
\(473\) −1.14628 + 1.14628i −0.0527060 + 0.0527060i
\(474\) −7.97727 8.70372i −0.366408 0.399775i
\(475\) −8.93220 3.69984i −0.409838 0.169760i
\(476\) 12.3942 4.41220i 0.568087 0.202233i
\(477\) −14.5057 0.527443i −0.664170 0.0241500i
\(478\) −31.0624 7.00159i −1.42076 0.320245i
\(479\) 1.51545 0.0692426 0.0346213 0.999401i \(-0.488977\pi\)
0.0346213 + 0.999401i \(0.488977\pi\)
\(480\) 14.6669 24.6007i 0.669447 1.12286i
\(481\) 2.99813 0.136703
\(482\) 30.0596 + 6.77555i 1.36918 + 0.308618i
\(483\) 30.8149 + 21.4099i 1.40213 + 0.974185i
\(484\) 7.31803 + 20.5569i 0.332638 + 0.934404i
\(485\) 29.6960 + 12.3005i 1.34843 + 0.558536i
\(486\) 21.8967 + 2.55618i 0.993255 + 0.115951i
\(487\) 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
\(489\) 21.1224 + 4.60203i 0.955188 + 0.208111i
\(490\) −49.1276 34.6588i −2.21936 1.56572i
\(491\) −20.2550 8.38989i −0.914095 0.378630i −0.124472 0.992223i \(-0.539724\pi\)
−0.789623 + 0.613593i \(0.789724\pi\)
\(492\) 18.0573 + 4.90472i 0.814088 + 0.221122i
\(493\) 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
\(498\) 9.74685 20.9083i 0.436767 0.936923i
\(499\) 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
\(501\) 35.5784 6.40720i 1.58953 0.286253i
\(502\) −18.0221 12.7143i −0.804366 0.567468i
\(503\) −14.9291 + 14.9291i −0.665655 + 0.665655i −0.956707 0.291052i \(-0.905995\pi\)
0.291052 + 0.956707i \(0.405995\pi\)
\(504\) −34.9944 + 18.0700i −1.55878 + 0.804901i
\(505\) 5.62678 + 5.62678i 0.250389 + 0.250389i
\(506\) 0.336400 + 1.94804i 0.0149548 + 0.0866007i
\(507\) −3.94021 21.8795i −0.174991 0.971704i
\(508\) −4.11862 + 8.67191i −0.182734 + 0.384754i
\(509\) −0.540947 1.30596i −0.0239770 0.0578857i 0.911438 0.411438i \(-0.134973\pi\)
−0.935415 + 0.353553i \(0.884973\pi\)
\(510\) −3.47179 9.53536i −0.153734 0.422233i
\(511\) 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
\(516\) 2.38379 + 18.5981i 0.104940 + 0.818736i
\(517\) 0.623584 1.50547i 0.0274252 0.0662103i
\(518\) −47.7932 + 8.25325i −2.09991 + 0.362627i
\(519\) −3.03645 + 13.9367i −0.133286 + 0.611754i
\(520\) 2.63981 + 2.07041i 0.115763 + 0.0907936i
\(521\) 4.02013 + 4.02013i 0.176125 + 0.176125i 0.789664 0.613539i \(-0.210255\pi\)
−0.613539 + 0.789664i \(0.710255\pi\)
\(522\) −3.63031 6.23370i −0.158894 0.272842i
\(523\) 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
\(525\) −16.2610 + 23.4042i −0.709690 + 1.02144i
\(526\) 5.57114 3.52160i 0.242913 0.153549i
\(527\) 5.90561i 0.257253i
\(528\) −1.97227 0.644669i −0.0858321 0.0280556i
\(529\) 1.21549i 0.0528475i
\(530\) −10.6874 16.9074i −0.464231 0.734410i
\(531\) −10.7876 0.392248i −0.468141 0.0170221i
\(532\) −18.7866 + 16.9721i −0.814501 + 0.735834i
\(533\) −0.838760 + 2.02495i −0.0363307 + 0.0877101i
\(534\) −12.8025 0.557539i −0.554018 0.0241271i
\(535\) −0.882097 0.882097i −0.0381364 0.0381364i
\(536\) −29.8898 8.34943i −1.29104 0.360640i
\(537\) 6.13513 + 1.33669i 0.264750 + 0.0576823i
\(538\) 7.03238 + 40.7233i 0.303187 + 1.75571i
\(539\) −1.66686 + 4.02415i −0.0717966 + 0.173332i
\(540\) 14.1313 + 26.8916i 0.608115 + 1.15723i
\(541\) 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
\(546\) −1.57832 4.33491i −0.0675461 0.185517i
\(547\) 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
\(549\) 24.2406 + 26.0700i 1.03456 + 1.11264i
\(550\) −1.47955 + 0.255499i −0.0630883 + 0.0108945i
\(551\) −3.27904 3.27904i −0.139692 0.139692i
\(552\) 20.2080 + 10.6989i 0.860109 + 0.455374i
\(553\) −15.8193 + 15.8193i −0.672703 + 0.672703i
\(554\) −8.99229 + 12.7462i −0.382046 + 0.541536i
\(555\) 6.63039 + 36.8178i 0.281445 + 1.56283i
\(556\) −0.750135 + 0.677685i −0.0318128 + 0.0287403i
\(557\) 33.6235 13.9273i 1.42467 0.590119i 0.468644 0.883387i \(-0.344743\pi\)
0.956030 + 0.293268i \(0.0947428\pi\)
\(558\) 2.37341 + 17.5191i 0.100474 + 0.741644i
\(559\) −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 \(-0.933103\pi\)
0.544031 0.839065i \(1.68310\pi\)
\(564\) −9.36793 16.3547i −0.394461 0.688657i
\(565\) 50.0494 + 20.7312i 2.10560 + 0.872166i
\(566\) 15.1952 21.5386i 0.638702 0.905337i
\(567\) 3.03385 41.6632i 0.127410 1.74969i
\(568\) 15.0050 1.81389i 0.629597 0.0761093i
\(569\) −5.01618 + 5.01618i −0.210289 + 0.210289i −0.804390 0.594101i \(-0.797508\pi\)
0.594101 + 0.804390i \(0.297508\pi\)
\(570\) 13.1948 + 14.3964i 0.552668 + 0.602997i
\(571\) −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
\(573\) −18.5894 + 26.7554i −0.776583 + 1.11772i
\(574\) 7.79639 34.5885i 0.325415 1.44370i
\(575\) 16.5455 0.689997
\(576\) −19.8492 + 13.4911i −0.827050 + 0.562129i
\(577\) 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
\(579\) −11.0192 + 15.8598i −0.457943 + 0.659109i
\(580\) 4.26459 8.97926i 0.177078 0.372844i
\(581\) −40.3848 16.7279i −1.67544 0.693992i
\(582\) −18.1987 19.8559i −0.754360 0.823055i
\(583\) −1.02466 + 1.02466i −0.0424369 + 0.0424369i
\(584\) −1.86804 15.4530i −0.0773002 0.639448i
\(585\) −3.33483 + 1.24138i −0.137878 + 0.0513246i
\(586\) 19.1076 27.0844i 0.789329 1.11885i
\(587\) −22.3129 9.24233i −0.920954 0.381472i −0.128714 0.991682i \(-0.541085\pi\)
−0.792240 + 0.610210i \(0.791085\pi\)
\(588\) 25.0407 + 43.7165i 1.03266 + 1.80284i
\(589\) 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 \(-0.485898\pi\)
0.0442868 + 0.999019i \(0.485898\pi\)
\(594\) 1.67542 1.42710i 0.0687432 0.0585546i
\(595\) −17.7651 + 7.35854i −0.728297 + 0.301671i
\(596\) 16.7512 15.1333i 0.686155 0.619884i
\(597\) −0.297902 1.65421i −0.0121923 0.0677025i
\(598\) −1.54398 + 2.18853i −0.0631379 + 0.0894957i
\(599\) −4.80949 + 4.80949i −0.196511 + 0.196511i −0.798502 0.601992i \(-0.794374\pi\)
0.601992 + 0.798502i \(0.294374\pi\)
\(600\) −8.12589 + 15.3482i −0.331738 + 0.626586i
\(601\) 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
\(603\) 24.1059 22.4144i 0.981669 0.912785i
\(604\) 13.0607 + 36.6884i 0.531432 + 1.49283i
\(605\) −12.2048 29.4650i −0.496196 1.19792i
\(606\) −2.28129 6.26563i −0.0926712 0.254524i
\(607\) 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
\(612\) −0.739228 + 8.47117i −0.0298815 + 0.342427i
\(613\) 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
\(615\) −26.7217 5.82198i −1.07752 0.234765i
\(616\) −1.05782 + 3.78684i −0.0426207 + 0.152576i
\(617\) 10.7968 + 10.7968i 0.434663 + 0.434663i 0.890211 0.455548i \(-0.150557\pi\)
−0.455548 + 0.890211i \(0.650557\pi\)
\(618\) 1.15205 + 0.0501711i 0.0463424 + 0.00201818i
\(619\) −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
\(621\) −20.8694 + 12.3551i −0.837461 + 0.495794i
\(622\) −11.2954 17.8692i −0.452903 0.716488i
\(623\) 24.2822i 0.972848i
\(624\) −1.27187 2.50708i −0.0509155 0.100363i
\(625\) 30.1581i 1.20633i
\(626\) −40.6733 + 25.7102i −1.62563 + 1.02759i
\(627\) 0.807250 1.16186i 0.0322384 0.0464002i
\(628\) −17.1806 0.871774i −0.685579 0.0347876i
\(629\) −4.00730 + 9.67449i −0.159782 + 0.385747i
\(630\) 49.7432 28.9689i 1.98182 1.15415i
\(631\) −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
\(633\) 0.901437 4.13741i 0.0358289 0.164447i
\(634\) 32.5385 5.61897i 1.29227 0.223158i
\(635\) 5.36966 12.9635i 0.213088 0.514441i
\(636\) 2.13086 + 16.6248i 0.0844942 + 0.659216i
\(637\) −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 \(0.247563\pi\)
−0.712500 + 0.701672i \(0.752437\pi\)
\(642\) 0.357633 + 0.982248i 0.0141146 + 0.0387662i
\(643\) 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
\(645\) −4.85716 26.9712i −0.191251 1.06199i
\(646\) 0.930184 + 5.38654i 0.0365976 + 0.211930i
\(647\) −9.34579 9.34579i −0.367421 0.367421i 0.499115 0.866536i \(-0.333659\pi\)
−0.866536 + 0.499115i \(0.833659\pi\)
\(648\) −1.21154 25.4270i −0.0475938 0.998867i
\(649\) −0.762015 + 0.762015i −0.0299117 + 0.0299117i
\(650\) −1.66221 1.17266i −0.0651973 0.0459957i
\(651\) 32.9696 5.93739i 1.29218 0.232705i
\(652\) 1.26500 24.9301i 0.0495413 0.976340i
\(653\) 3.13779 1.29972i 0.122791 0.0508618i −0.320442 0.947268i \(-0.603831\pi\)
0.443233 + 0.896406i \(0.353831\pi\)
\(654\) 4.91621 10.5459i 0.192239 0.412378i
\(655\) 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 \(0.0856653\pi\)
−0.493642 + 0.869665i \(0.664335\pi\)
\(660\) 2.92669 + 0.794945i 0.113921 + 0.0309432i
\(661\) 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
\(663\) −0.973211 0.212038i −0.0377964 0.00823487i
\(664\) −25.6551 7.16651i −0.995611 0.278115i
\(665\) 26.1658 26.1658i 1.01467 1.01467i
\(666\) 7.99968 30.3101i 0.309981 1.17449i
\(667\) 7.33186 + 3.03696i 0.283891 + 0.117591i
\(668\) −13.9996 39.3258i −0.541659 1.52156i
\(669\) 14.7181 + 10.2260i 0.569035 + 0.395360i
\(670\) 44.2488 + 9.97384i 1.70948 + 0.385323i
\(671\) 3.55385 0.137195
\(672\) 27.1763 + 36.4641i 1.04835 + 1.40663i
\(673\) −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
\(675\) −9.38383 15.8505i −0.361184 0.610087i
\(676\) −24.1840 + 8.60925i −0.930154 + 0.331125i
\(677\) −6.25960 2.59281i −0.240576 0.0996498i 0.259138 0.965840i \(-0.416562\pi\)
−0.499714 + 0.866191i \(0.666562\pi\)
\(678\) −30.6720 33.4651i −1.17795 1.28522i
\(679\) −36.0887 + 36.0887i −1.38496 + 1.38496i
\(680\) −10.2093 + 5.75093i −0.391507 + 0.220538i
\(681\) −4.18273 + 19.1979i −0.160283 + 0.735665i
\(682\) 1.44217 + 1.01743i 0.0552234 + 0.0389593i
\(683\) 26.2767 + 10.8842i 1.00545 + 0.416471i 0.823793 0.566891i \(-0.191854\pi\)
0.181657 + 0.983362i \(0.441854\pi\)
\(684\) −4.92421 15.6055i −0.188282 0.596689i
\(685\) −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
\(690\) −30.2902 14.1204i −1.15313 0.537556i
\(691\) −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
\(693\) −2.83975 3.05406i −0.107873 0.116014i
\(694\) 8.72088 + 6.15245i 0.331040 + 0.233544i
\(695\) 1.04478 1.04478i 0.0396309 0.0396309i
\(696\) −6.41802 + 5.30974i −0.243274 + 0.201265i
\(697\) −5.41308 5.41308i −0.205035 0.205035i
\(698\) −0.964929 5.58774i −0.0365231 0.211499i
\(699\) 38.4998 6.93330i 1.45619 0.262241i
\(700\) 29.7254 + 14.1177i 1.12351 + 0.533599i
\(701\) −15.7331 37.9830i −0.594230 1.43460i −0.879383 0.476116i \(-0.842044\pi\)
0.285153 0.958482i \(1.59204\pi\)
\(702\) 2.97227 + 0.237892i 0.112181 + 0.00897864i
\(703\) 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
\(708\) 1.58468 + 12.3635i 0.0595558 + 0.464649i
\(709\) 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
\(711\) −5.04446 13.5514i −0.189182 0.508218i
\(712\) 1.77582 + 14.6901i 0.0665518 + 0.550535i
\(713\) −13.7526 13.7526i −0.515039 0.515039i
\(714\) 16.0976 + 0.701040i 0.602439 + 0.0262357i
\(715\) −0.135944 + 0.328198i −0.00508402 + 0.0122739i
\(716\) 0.367428 7.24111i 0.0137314 0.270613i
\(717\) −32.0266 22.2518i −1.19606 0.831008i
\(718\) 1.73799 1.09861i 0.0648612 0.0409997i
\(719\) 6.72495i 0.250798i 0.992106 + 0.125399i \(0.0400211\pi\)
−0.992106 + 0.125399i \(0.959979\pi\)
\(720\) 27.9747 21.1632i 1.04256 0.788708i
\(721\) 2.18508i 0.0813766i
\(722\) 8.73648 + 13.8210i 0.325138 + 0.514365i
\(723\) 30.9927 + 21.5334i 1.15263 + 0.800836i
\(724\) −9.45401 10.4647i −0.351355 0.388918i
\(725\) −2.30660 + 5.56862i −0.0856649 + 0.206813i
\(726\) −1.16274 + 26.6994i −0.0431532 + 0.990907i
\(727\) −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
\(729\) 23.6722 + 12.9856i 0.876750 + 0.480947i
\(730\) 3.87137 + 22.4184i 0.143286 + 0.829744i
\(731\) 2.93559 7.08715i 0.108577 0.262128i
\(732\) 25.1349 32.5254i 0.929013 1.20218i
\(733\) −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
\(738\) 18.2335 + 13.8826i 0.671184 + 0.511024i
\(739\) −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
\(741\) 1.88644 0.339724i 0.0693002 0.0124801i
\(742\) 31.2966 5.40451i 1.14893 0.198406i
\(743\) −34.0574 34.0574i −1.24944 1.24944i −0.955966 0.293479i \(-0.905187\pi\)
−0.293479 0.955966i \(1.40519\pi\)
\(744\) 19.5115 6.00312i 0.715327 0.220085i
\(745\) −23.3309 + 23.3309i −0.854778 + 0.854778i
\(746\) −10.2497 + 14.5286i −0.375268 + 0.531929i
\(747\) 20.6907 19.2388i 0.757033 0.703911i
\(748\) 0.569074 + 0.629913i 0.0208074 + 0.0230319i
\(749\) 1.83000 0.758011i 0.0668667 0.0276971i
\(750\) −4.40209 + 9.44307i −0.160742 + 0.344812i
\(751\) −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
\(756\) −48.0357 + 4.38982i −1.74704 + 0.159656i
\(757\) 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
\(759\) −0.515417 + 2.36566i −0.0187085 + 0.0858681i
\(760\) 13.9160 17.7432i 0.504787 0.643613i