Properties

Label 45.2.l.a.32.2
Level $45$
Weight $2$
Character 45.32
Analytic conductor $0.359$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 45 = 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 45.l (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.359326809096\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 6 x^{15} + 18 x^{14} - 36 x^{13} + 34 x^{12} + 18 x^{11} - 72 x^{10} + 132 x^{9} - 93 x^{8} - 102 x^{7} + 144 x^{6} - 432 x^{5} + 502 x^{4} + 288 x^{3} + 72 x^{2} + 12 x + 1\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 32.2
Root \(1.60599 - 0.430324i\) of defining polynomial
Character \(\chi\) \(=\) 45.32
Dual form 45.2.l.a.38.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.60599 - 0.430324i) q^{2} +(-1.08121 - 1.35314i) q^{3} +(0.661975 + 0.382191i) q^{4} +(-1.24906 - 1.85468i) q^{5} +(1.15412 + 2.63840i) q^{6} +(0.465559 - 1.73749i) q^{7} +(1.45267 + 1.45267i) q^{8} +(-0.661975 + 2.92605i) q^{9} +O(q^{10})\) \(q+(-1.60599 - 0.430324i) q^{2} +(-1.08121 - 1.35314i) q^{3} +(0.661975 + 0.382191i) q^{4} +(-1.24906 - 1.85468i) q^{5} +(1.15412 + 2.63840i) q^{6} +(0.465559 - 1.73749i) q^{7} +(1.45267 + 1.45267i) q^{8} +(-0.661975 + 2.92605i) q^{9} +(1.20786 + 3.51610i) q^{10} +(3.12636 - 1.80501i) q^{11} +(-0.198575 - 1.30897i) q^{12} +(0.342574 + 1.27850i) q^{13} +(-1.49537 + 2.59005i) q^{14} +(-1.15916 + 3.69545i) q^{15} +(-2.47224 - 4.28205i) q^{16} +(-0.277007 + 0.277007i) q^{17} +(2.32228 - 4.41435i) q^{18} -6.25273i q^{19} +(-0.118000 - 1.70513i) q^{20} +(-2.85443 + 1.24862i) q^{21} +(-5.79765 + 1.55348i) q^{22} +(2.16347 - 0.579699i) q^{23} +(0.395027 - 3.53631i) q^{24} +(-1.87971 + 4.63322i) q^{25} -2.20068i q^{26} +(4.67509 - 2.26793i) q^{27} +(0.972242 - 0.972242i) q^{28} +(1.56832 + 2.71642i) q^{29} +(3.45183 - 5.43605i) q^{30} +(-2.42605 + 4.20205i) q^{31} +(1.06430 + 3.97202i) q^{32} +(-5.82268 - 2.27882i) q^{33} +(0.564074 - 0.325668i) q^{34} +(-3.80401 + 1.30676i) q^{35} +(-1.55652 + 1.68397i) q^{36} +(5.55242 + 5.55242i) q^{37} +(-2.69070 + 10.0418i) q^{38} +(1.35960 - 1.84588i) q^{39} +(0.879778 - 4.50872i) q^{40} +(1.29036 + 0.744991i) q^{41} +(5.12150 - 0.776946i) q^{42} +(4.10976 + 1.10121i) q^{43} +2.75943 q^{44} +(6.25375 - 2.42705i) q^{45} -3.72396 q^{46} +(-3.82042 - 1.02368i) q^{47} +(-3.12120 + 7.97508i) q^{48} +(3.26005 + 1.88219i) q^{49} +(5.01258 - 6.63202i) q^{50} +(0.674332 + 0.0753268i) q^{51} +(-0.261857 + 0.977265i) q^{52} +(-7.48222 - 7.48222i) q^{53} +(-8.48410 + 1.63047i) q^{54} +(-7.25273 - 3.54386i) q^{55} +(3.20031 - 1.84770i) q^{56} +(-8.46082 + 6.76051i) q^{57} +(-1.34977 - 5.03742i) q^{58} +(-0.279377 + 0.483896i) q^{59} +(-2.17970 + 2.00328i) q^{60} +(-2.96237 - 5.13097i) q^{61} +(5.70446 - 5.70446i) q^{62} +(4.77580 + 2.51243i) q^{63} +3.05196i q^{64} +(1.94332 - 2.23229i) q^{65} +(8.37054 + 6.16540i) q^{66} +(10.8351 - 2.90325i) q^{67} +(-0.289242 + 0.0775020i) q^{68} +(-3.12357 - 2.30070i) q^{69} +(6.67153 - 0.461690i) q^{70} +8.01611i q^{71} +(-5.21223 + 3.28897i) q^{72} +(-1.29315 + 1.29315i) q^{73} +(-6.52779 - 11.3065i) q^{74} +(8.30175 - 2.46596i) q^{75} +(2.38974 - 4.13915i) q^{76} +(-1.68068 - 6.27237i) q^{77} +(-2.97783 + 2.37939i) q^{78} +(-6.96917 + 4.02365i) q^{79} +(-4.85388 + 9.93376i) q^{80} +(-8.12358 - 3.87395i) q^{81} +(-1.75172 - 1.75172i) q^{82} +(-0.150243 + 0.560714i) q^{83} +(-2.36678 - 0.264383i) q^{84} +(0.859759 + 0.167763i) q^{85} +(-6.12636 - 3.53706i) q^{86} +(1.98001 - 5.05917i) q^{87} +(7.16367 + 1.91950i) q^{88} +16.4343 q^{89} +(-11.0879 + 1.20669i) q^{90} +2.38087 q^{91} +(1.65372 + 0.443112i) q^{92} +(8.30903 - 1.26050i) q^{93} +(5.69504 + 3.28804i) q^{94} +(-11.5968 + 7.81002i) q^{95} +(4.22396 - 5.73472i) q^{96} +(-1.37786 + 5.14224i) q^{97} +(-4.42566 - 4.42566i) q^{98} +(3.21197 + 10.3428i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 6 q^{2} - 6 q^{3} - 6 q^{5} - 2 q^{7} + O(q^{10}) \) \( 16 q - 6 q^{2} - 6 q^{3} - 6 q^{5} - 2 q^{7} - 8 q^{10} - 6 q^{12} - 2 q^{13} - 6 q^{15} - 8 q^{16} + 36 q^{18} + 18 q^{20} - 12 q^{21} - 10 q^{22} + 18 q^{23} + 4 q^{25} + 18 q^{27} - 16 q^{28} + 30 q^{30} - 4 q^{31} + 30 q^{32} - 12 q^{33} - 48 q^{36} + 4 q^{37} - 30 q^{38} + 6 q^{40} - 24 q^{41} + 6 q^{42} - 2 q^{43} - 36 q^{45} + 32 q^{46} - 12 q^{47} - 30 q^{48} - 54 q^{50} + 36 q^{51} - 14 q^{52} - 16 q^{55} + 36 q^{56} - 6 q^{57} - 6 q^{58} + 18 q^{60} + 8 q^{61} + 36 q^{63} + 66 q^{65} + 36 q^{66} + 4 q^{67} + 42 q^{68} + 18 q^{70} + 18 q^{72} - 8 q^{73} + 42 q^{75} + 24 q^{76} - 6 q^{77} - 42 q^{78} - 48 q^{81} + 32 q^{82} - 66 q^{83} + 22 q^{85} - 48 q^{86} - 18 q^{87} + 18 q^{88} - 66 q^{90} - 40 q^{91} - 60 q^{92} - 18 q^{93} - 36 q^{95} - 24 q^{96} + 28 q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).

\(n\) \(11\) \(37\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.60599 0.430324i −1.13561 0.304285i −0.358423 0.933559i \(-0.616686\pi\)
−0.777183 + 0.629274i \(0.783352\pi\)
\(3\) −1.08121 1.35314i −0.624236 0.781236i
\(4\) 0.661975 + 0.382191i 0.330987 + 0.191096i
\(5\) −1.24906 1.85468i −0.558596 0.829440i
\(6\) 1.15412 + 2.63840i 0.471169 + 1.07712i
\(7\) 0.465559 1.73749i 0.175965 0.656710i −0.820421 0.571761i \(-0.806261\pi\)
0.996385 0.0849489i \(-0.0270727\pi\)
\(8\) 1.45267 + 1.45267i 0.513598 + 0.513598i
\(9\) −0.661975 + 2.92605i −0.220658 + 0.975351i
\(10\) 1.20786 + 3.51610i 0.381959 + 1.11189i
\(11\) 3.12636 1.80501i 0.942634 0.544230i 0.0518493 0.998655i \(-0.483488\pi\)
0.890785 + 0.454425i \(0.150155\pi\)
\(12\) −0.198575 1.30897i −0.0573236 0.377868i
\(13\) 0.342574 + 1.27850i 0.0950128 + 0.354593i 0.997021 0.0771255i \(-0.0245742\pi\)
−0.902009 + 0.431718i \(0.857908\pi\)
\(14\) −1.49537 + 2.59005i −0.399654 + 0.692220i
\(15\) −1.15916 + 3.69545i −0.299293 + 0.954161i
\(16\) −2.47224 4.28205i −0.618061 1.07051i
\(17\) −0.277007 + 0.277007i −0.0671841 + 0.0671841i −0.739900 0.672716i \(-0.765127\pi\)
0.672716 + 0.739900i \(0.265127\pi\)
\(18\) 2.32228 4.41435i 0.547366 1.04047i
\(19\) 6.25273i 1.43447i −0.696829 0.717237i \(-0.745406\pi\)
0.696829 0.717237i \(-0.254594\pi\)
\(20\) −0.118000 1.70513i −0.0263857 0.381280i
\(21\) −2.85443 + 1.24862i −0.622889 + 0.272472i
\(22\) −5.79765 + 1.55348i −1.23606 + 0.331202i
\(23\) 2.16347 0.579699i 0.451114 0.120876i −0.0261067 0.999659i \(-0.508311\pi\)
0.477221 + 0.878784i \(0.341644\pi\)
\(24\) 0.395027 3.53631i 0.0806346 0.721847i
\(25\) −1.87971 + 4.63322i −0.375942 + 0.926643i
\(26\) 2.20068i 0.431589i
\(27\) 4.67509 2.26793i 0.899722 0.436463i
\(28\) 0.972242 0.972242i 0.183737 0.183737i
\(29\) 1.56832 + 2.71642i 0.291230 + 0.504426i 0.974101 0.226114i \(-0.0726021\pi\)
−0.682871 + 0.730539i \(0.739269\pi\)
\(30\) 3.45183 5.43605i 0.630216 0.992482i
\(31\) −2.42605 + 4.20205i −0.435732 + 0.754710i −0.997355 0.0726832i \(-0.976844\pi\)
0.561623 + 0.827393i \(0.310177\pi\)
\(32\) 1.06430 + 3.97202i 0.188143 + 0.702160i
\(33\) −5.82268 2.27882i −1.01360 0.396691i
\(34\) 0.564074 0.325668i 0.0967378 0.0558516i
\(35\) −3.80401 + 1.30676i −0.642994 + 0.220883i
\(36\) −1.55652 + 1.68397i −0.259421 + 0.280662i
\(37\) 5.55242 + 5.55242i 0.912812 + 0.912812i 0.996493 0.0836807i \(-0.0266676\pi\)
−0.0836807 + 0.996493i \(0.526668\pi\)
\(38\) −2.69070 + 10.0418i −0.436489 + 1.62900i
\(39\) 1.35960 1.84588i 0.217710 0.295577i
\(40\) 0.879778 4.50872i 0.139105 0.712892i
\(41\) 1.29036 + 0.744991i 0.201521 + 0.116348i 0.597365 0.801970i \(-0.296215\pi\)
−0.395844 + 0.918318i \(0.629548\pi\)
\(42\) 5.12150 0.776946i 0.790265 0.119885i
\(43\) 4.10976 + 1.10121i 0.626733 + 0.167933i 0.558187 0.829715i \(-0.311497\pi\)
0.0685463 + 0.997648i \(0.478164\pi\)
\(44\) 2.75943 0.416000
\(45\) 6.25375 2.42705i 0.932254 0.361804i
\(46\) −3.72396 −0.549069
\(47\) −3.82042 1.02368i −0.557266 0.149319i −0.0308158 0.999525i \(-0.509811\pi\)
−0.526450 + 0.850206i \(0.676477\pi\)
\(48\) −3.12120 + 7.97508i −0.450507 + 1.15110i
\(49\) 3.26005 + 1.88219i 0.465722 + 0.268884i
\(50\) 5.01258 6.63202i 0.708886 0.937909i
\(51\) 0.674332 + 0.0753268i 0.0944254 + 0.0105479i
\(52\) −0.261857 + 0.977265i −0.0363131 + 0.135522i
\(53\) −7.48222 7.48222i −1.02776 1.02776i −0.999603 0.0281581i \(-0.991036\pi\)
−0.0281581 0.999603i \(-0.508964\pi\)
\(54\) −8.48410 + 1.63047i −1.15454 + 0.221879i
\(55\) −7.25273 3.54386i −0.977958 0.477854i
\(56\) 3.20031 1.84770i 0.427660 0.246909i
\(57\) −8.46082 + 6.76051i −1.12066 + 0.895451i
\(58\) −1.34977 5.03742i −0.177234 0.661446i
\(59\) −0.279377 + 0.483896i −0.0363718 + 0.0629978i −0.883638 0.468170i \(-0.844913\pi\)
0.847266 + 0.531168i \(0.178247\pi\)
\(60\) −2.17970 + 2.00328i −0.281398 + 0.258622i
\(61\) −2.96237 5.13097i −0.379292 0.656953i 0.611667 0.791115i \(-0.290499\pi\)
−0.990959 + 0.134162i \(0.957166\pi\)
\(62\) 5.70446 5.70446i 0.724467 0.724467i
\(63\) 4.77580 + 2.51243i 0.601694 + 0.316536i
\(64\) 3.05196i 0.381495i
\(65\) 1.94332 2.23229i 0.241040 0.276881i
\(66\) 8.37054 + 6.16540i 1.03034 + 0.758908i
\(67\) 10.8351 2.90325i 1.32371 0.354688i 0.473346 0.880876i \(-0.343046\pi\)
0.850368 + 0.526188i \(0.176379\pi\)
\(68\) −0.289242 + 0.0775020i −0.0350757 + 0.00939850i
\(69\) −3.12357 2.30070i −0.376034 0.276971i
\(70\) 6.67153 0.461690i 0.797400 0.0551825i
\(71\) 8.01611i 0.951338i 0.879624 + 0.475669i \(0.157794\pi\)
−0.879624 + 0.475669i \(0.842206\pi\)
\(72\) −5.21223 + 3.28897i −0.614268 + 0.387608i
\(73\) −1.29315 + 1.29315i −0.151352 + 0.151352i −0.778721 0.627370i \(-0.784131\pi\)
0.627370 + 0.778721i \(0.284131\pi\)
\(74\) −6.52779 11.3065i −0.758840 1.31435i
\(75\) 8.30175 2.46596i 0.958603 0.284745i
\(76\) 2.38974 4.13915i 0.274122 0.474793i
\(77\) −1.68068 6.27237i −0.191531 0.714802i
\(78\) −2.97783 + 2.37939i −0.337172 + 0.269413i
\(79\) −6.96917 + 4.02365i −0.784093 + 0.452696i −0.837879 0.545856i \(-0.816204\pi\)
0.0537859 + 0.998552i \(0.482871\pi\)
\(80\) −4.85388 + 9.93376i −0.542680 + 1.11063i
\(81\) −8.12358 3.87395i −0.902620 0.430439i
\(82\) −1.75172 1.75172i −0.193445 0.193445i
\(83\) −0.150243 + 0.560714i −0.0164913 + 0.0615463i −0.973681 0.227914i \(-0.926809\pi\)
0.957190 + 0.289461i \(0.0934760\pi\)
\(84\) −2.36678 0.264383i −0.258237 0.0288465i
\(85\) 0.859759 + 0.167763i 0.0932539 + 0.0181965i
\(86\) −6.12636 3.53706i −0.660623 0.381411i
\(87\) 1.98001 5.05917i 0.212279 0.542400i
\(88\) 7.16367 + 1.91950i 0.763650 + 0.204619i
\(89\) 16.4343 1.74203 0.871016 0.491255i \(-0.163462\pi\)
0.871016 + 0.491255i \(0.163462\pi\)
\(90\) −11.0879 + 1.20669i −1.16877 + 0.127196i
\(91\) 2.38087 0.249583
\(92\) 1.65372 + 0.443112i 0.172412 + 0.0461976i
\(93\) 8.30903 1.26050i 0.861606 0.130708i
\(94\) 5.69504 + 3.28804i 0.587399 + 0.339135i
\(95\) −11.5968 + 7.81002i −1.18981 + 0.801291i
\(96\) 4.22396 5.73472i 0.431106 0.585298i
\(97\) −1.37786 + 5.14224i −0.139900 + 0.522116i 0.860029 + 0.510245i \(0.170445\pi\)
−0.999930 + 0.0118706i \(0.996221\pi\)
\(98\) −4.42566 4.42566i −0.447059 0.447059i
\(99\) 3.21197 + 10.3428i 0.322815 + 1.03949i
\(100\) −3.01510 + 2.34866i −0.301510 + 0.234866i
\(101\) −4.73008 + 2.73092i −0.470661 + 0.271736i −0.716516 0.697570i \(-0.754265\pi\)
0.245855 + 0.969307i \(0.420931\pi\)
\(102\) −1.05056 0.411155i −0.104021 0.0407104i
\(103\) −1.34888 5.03410i −0.132909 0.496024i 0.867088 0.498154i \(-0.165989\pi\)
−0.999998 + 0.00212995i \(0.999322\pi\)
\(104\) −1.35960 + 2.35489i −0.133320 + 0.230916i
\(105\) 5.88115 + 3.73447i 0.573942 + 0.364447i
\(106\) 8.79659 + 15.2361i 0.854401 + 1.47987i
\(107\) −4.07498 + 4.07498i −0.393944 + 0.393944i −0.876090 0.482147i \(-0.839857\pi\)
0.482147 + 0.876090i \(0.339857\pi\)
\(108\) 3.96158 + 0.285467i 0.381203 + 0.0274691i
\(109\) 1.10747i 0.106077i −0.998592 0.0530384i \(-0.983109\pi\)
0.998592 0.0530384i \(-0.0168906\pi\)
\(110\) 10.1228 + 8.81243i 0.965171 + 0.840232i
\(111\) 1.50987 13.5165i 0.143311 1.28293i
\(112\) −8.59099 + 2.30195i −0.811773 + 0.217514i
\(113\) 8.06067 2.15985i 0.758284 0.203182i 0.141095 0.989996i \(-0.454938\pi\)
0.617190 + 0.786815i \(0.288271\pi\)
\(114\) 16.4972 7.21642i 1.54510 0.675879i
\(115\) −3.77745 3.28847i −0.352249 0.306651i
\(116\) 2.39760i 0.222611i
\(117\) −3.96774 + 0.156052i −0.366818 + 0.0144270i
\(118\) 0.656909 0.656909i 0.0604734 0.0604734i
\(119\) 0.352334 + 0.610260i 0.0322984 + 0.0559425i
\(120\) −7.05216 + 3.68441i −0.643771 + 0.336339i
\(121\) 1.01610 1.75994i 0.0923731 0.159995i
\(122\) 2.54955 + 9.51507i 0.230826 + 0.861454i
\(123\) −0.387074 2.55153i −0.0349013 0.230064i
\(124\) −3.21197 + 1.85443i −0.288444 + 0.166533i
\(125\) 10.9410 2.30088i 0.978595 0.205797i
\(126\) −6.58873 6.09007i −0.586971 0.542547i
\(127\) −11.5887 11.5887i −1.02833 1.02833i −0.999587 0.0287470i \(-0.990848\pi\)
−0.0287470 0.999587i \(-0.509152\pi\)
\(128\) 3.44193 12.8454i 0.304226 1.13539i
\(129\) −2.95342 6.75172i −0.260035 0.594456i
\(130\) −4.08157 + 2.74878i −0.357977 + 0.241084i
\(131\) 4.34401 + 2.50802i 0.379538 + 0.219126i 0.677617 0.735415i \(-0.263013\pi\)
−0.298079 + 0.954541i \(0.596346\pi\)
\(132\) −2.98352 3.73390i −0.259682 0.324994i
\(133\) −10.8641 2.91101i −0.942033 0.252417i
\(134\) −18.6504 −1.61115
\(135\) −10.0458 5.83805i −0.864601 0.502459i
\(136\) −0.804802 −0.0690112
\(137\) −0.440837 0.118122i −0.0376632 0.0100918i 0.239938 0.970788i \(-0.422873\pi\)
−0.277601 + 0.960696i \(0.589539\pi\)
\(138\) 4.02638 + 5.03904i 0.342748 + 0.428952i
\(139\) −13.8860 8.01711i −1.17780 0.680003i −0.222295 0.974980i \(-0.571355\pi\)
−0.955504 + 0.294977i \(0.904688\pi\)
\(140\) −3.01759 0.588816i −0.255033 0.0497640i
\(141\) 2.74549 + 6.27637i 0.231212 + 0.528566i
\(142\) 3.44952 12.8738i 0.289478 1.08035i
\(143\) 3.37872 + 3.37872i 0.282542 + 0.282542i
\(144\) 14.1661 4.39930i 1.18051 0.366609i
\(145\) 3.07917 6.30170i 0.255711 0.523328i
\(146\) 2.63326 1.52031i 0.217930 0.125822i
\(147\) −0.977928 6.44635i −0.0806581 0.531686i
\(148\) 1.55348 + 5.79765i 0.127695 + 0.476564i
\(149\) −3.44153 + 5.96090i −0.281941 + 0.488336i −0.971863 0.235548i \(-0.924312\pi\)
0.689922 + 0.723884i \(0.257645\pi\)
\(150\) −14.3937 + 0.387874i −1.17524 + 0.0316698i
\(151\) 4.30647 + 7.45902i 0.350455 + 0.607006i 0.986329 0.164787i \(-0.0526935\pi\)
−0.635874 + 0.771793i \(0.719360\pi\)
\(152\) 9.08317 9.08317i 0.736743 0.736743i
\(153\) −0.627166 0.993910i −0.0507034 0.0803528i
\(154\) 10.7966i 0.870014i
\(155\) 10.8238 0.749036i 0.869385 0.0601640i
\(156\) 1.60550 0.702298i 0.128543 0.0562288i
\(157\) −1.60930 + 0.431209i −0.128436 + 0.0344142i −0.322464 0.946582i \(-0.604511\pi\)
0.194029 + 0.980996i \(0.437845\pi\)
\(158\) 12.9239 3.46295i 1.02817 0.275497i
\(159\) −2.03465 + 18.2143i −0.161358 + 1.44449i
\(160\) 6.03747 6.93521i 0.477304 0.548277i
\(161\) 4.02889i 0.317521i
\(162\) 11.3793 + 9.71729i 0.894045 + 0.763463i
\(163\) −10.5120 + 10.5120i −0.823363 + 0.823363i −0.986589 0.163225i \(-0.947810\pi\)
0.163225 + 0.986589i \(0.447810\pi\)
\(164\) 0.569458 + 0.986331i 0.0444672 + 0.0770195i
\(165\) 3.04637 + 13.6456i 0.237160 + 1.06231i
\(166\) 0.482577 0.835848i 0.0374552 0.0648744i
\(167\) 2.51657 + 9.39195i 0.194738 + 0.726771i 0.992335 + 0.123580i \(0.0394376\pi\)
−0.797597 + 0.603191i \(0.793896\pi\)
\(168\) −5.96040 2.33272i −0.459855 0.179973i
\(169\) 9.74112 5.62404i 0.749317 0.432618i
\(170\) −1.30857 0.639400i −0.100363 0.0490398i
\(171\) 18.2958 + 4.13915i 1.39912 + 0.316529i
\(172\) 2.29969 + 2.29969i 0.175350 + 0.175350i
\(173\) −3.88335 + 14.4929i −0.295246 + 1.10187i 0.645776 + 0.763527i \(0.276534\pi\)
−0.941022 + 0.338346i \(0.890133\pi\)
\(174\) −5.35695 + 7.27294i −0.406109 + 0.551360i
\(175\) 7.17505 + 5.42301i 0.542383 + 0.409941i
\(176\) −15.4583 8.92483i −1.16521 0.672735i
\(177\) 0.956844 0.145156i 0.0719208 0.0109106i
\(178\) −26.3933 7.07207i −1.97826 0.530074i
\(179\) −4.21995 −0.315414 −0.157707 0.987486i \(-0.550410\pi\)
−0.157707 + 0.987486i \(0.550410\pi\)
\(180\) 5.06743 + 0.783481i 0.377704 + 0.0583972i
\(181\) 23.7930 1.76852 0.884261 0.466993i \(-0.154663\pi\)
0.884261 + 0.466993i \(0.154663\pi\)
\(182\) −3.82366 1.02455i −0.283428 0.0759444i
\(183\) −3.73998 + 9.55615i −0.276468 + 0.706411i
\(184\) 3.98492 + 2.30070i 0.293772 + 0.169610i
\(185\) 3.36269 17.2333i 0.247230 1.26702i
\(186\) −13.8866 1.55122i −1.01822 0.113741i
\(187\) −0.366025 + 1.36603i −0.0267664 + 0.0998937i
\(188\) −2.13778 2.13778i −0.155914 0.155914i
\(189\) −1.76397 9.17878i −0.128310 0.667658i
\(190\) 21.9852 7.55242i 1.59498 0.547910i
\(191\) −20.1545 + 11.6362i −1.45833 + 0.841965i −0.998929 0.0462661i \(-0.985268\pi\)
−0.459397 + 0.888231i \(0.651934\pi\)
\(192\) 4.12973 3.29980i 0.298037 0.238143i
\(193\) 5.36663 + 20.0285i 0.386299 + 1.44169i 0.836110 + 0.548562i \(0.184825\pi\)
−0.449811 + 0.893124i \(0.648509\pi\)
\(194\) 4.42566 7.66547i 0.317744 0.550348i
\(195\) −5.12174 0.216019i −0.366775 0.0154694i
\(196\) 1.43871 + 2.49193i 0.102765 + 0.177995i
\(197\) −6.52613 + 6.52613i −0.464968 + 0.464968i −0.900280 0.435312i \(-0.856638\pi\)
0.435312 + 0.900280i \(0.356638\pi\)
\(198\) −0.707653 17.9926i −0.0502907 1.27868i
\(199\) 4.03778i 0.286231i 0.989706 + 0.143115i \(0.0457120\pi\)
−0.989706 + 0.143115i \(0.954288\pi\)
\(200\) −9.46116 + 3.99995i −0.669005 + 0.282839i
\(201\) −15.6435 11.5223i −1.10341 0.812724i
\(202\) 8.77165 2.35036i 0.617171 0.165370i
\(203\) 5.44989 1.46029i 0.382507 0.102493i
\(204\) 0.417602 + 0.307588i 0.0292380 + 0.0215355i
\(205\) −0.230013 3.32375i −0.0160648 0.232141i
\(206\) 8.66517i 0.603731i
\(207\) 0.264070 + 6.71416i 0.0183541 + 0.466667i
\(208\) 4.62768 4.62768i 0.320872 0.320872i
\(209\) −11.2862 19.5483i −0.780684 1.35219i
\(210\) −7.83804 8.52833i −0.540876 0.588510i
\(211\) 0.653114 1.13123i 0.0449623 0.0778769i −0.842668 0.538433i \(-0.819017\pi\)
0.887631 + 0.460556i \(0.152350\pi\)
\(212\) −2.09340 7.81268i −0.143775 0.536577i
\(213\) 10.8469 8.66709i 0.743219 0.593859i
\(214\) 8.29795 4.79082i 0.567236 0.327494i
\(215\) −3.09094 8.99779i −0.210800 0.613644i
\(216\) 10.0859 + 3.49682i 0.686262 + 0.237929i
\(217\) 6.17155 + 6.17155i 0.418952 + 0.418952i
\(218\) −0.476572 + 1.77859i −0.0322776 + 0.120461i
\(219\) 3.14797 + 0.351647i 0.212720 + 0.0237621i
\(220\) −3.44669 5.11788i −0.232376 0.345047i
\(221\) −0.449050 0.259259i −0.0302063 0.0174396i
\(222\) −8.24132 + 21.0577i −0.553122 + 1.41330i
\(223\) 8.01142 + 2.14665i 0.536485 + 0.143751i 0.516881 0.856057i \(-0.327093\pi\)
0.0196035 + 0.999808i \(0.493760\pi\)
\(224\) 7.39683 0.494222
\(225\) −12.3127 8.56720i −0.820848 0.571147i
\(226\) −13.8748 −0.922937
\(227\) 8.90739 + 2.38673i 0.591204 + 0.158413i 0.542003 0.840376i \(-0.317666\pi\)
0.0492007 + 0.998789i \(0.484333\pi\)
\(228\) −8.18466 + 1.24163i −0.542042 + 0.0822292i
\(229\) −17.2032 9.93228i −1.13682 0.656344i −0.191179 0.981555i \(-0.561231\pi\)
−0.945641 + 0.325211i \(0.894565\pi\)
\(230\) 4.65145 + 6.90678i 0.306707 + 0.455419i
\(231\) −6.67023 + 9.05593i −0.438869 + 0.595836i
\(232\) −1.66780 + 6.22433i −0.109497 + 0.408647i
\(233\) −5.45304 5.45304i −0.357241 0.357241i 0.505554 0.862795i \(-0.331288\pi\)
−0.862795 + 0.505554i \(0.831288\pi\)
\(234\) 6.43930 + 1.45679i 0.420951 + 0.0952336i
\(235\) 2.87332 + 8.36431i 0.187435 + 0.545627i
\(236\) −0.369882 + 0.213551i −0.0240772 + 0.0139010i
\(237\) 12.9797 + 5.07985i 0.843122 + 0.329972i
\(238\) −0.303235 1.13169i −0.0196558 0.0733566i
\(239\) 3.48185 6.03074i 0.225222 0.390096i −0.731164 0.682202i \(-0.761023\pi\)
0.956386 + 0.292106i \(0.0943559\pi\)
\(240\) 18.6898 4.17249i 1.20642 0.269333i
\(241\) −11.7660 20.3794i −0.757918 1.31275i −0.943911 0.330201i \(-0.892883\pi\)
0.185993 0.982551i \(-0.440450\pi\)
\(242\) −2.38920 + 2.38920i −0.153584 + 0.153584i
\(243\) 3.54129 + 15.1809i 0.227174 + 0.973854i
\(244\) 4.52877i 0.289925i
\(245\) −0.581120 8.39733i −0.0371264 0.536486i
\(246\) −0.476347 + 4.26430i −0.0303708 + 0.271882i
\(247\) 7.99413 2.14202i 0.508654 0.136293i
\(248\) −9.62847 + 2.57994i −0.611408 + 0.163826i
\(249\) 0.921168 0.402949i 0.0583767 0.0255359i
\(250\) −18.5613 1.01298i −1.17392 0.0640667i
\(251\) 20.7941i 1.31251i −0.754537 0.656257i \(-0.772139\pi\)
0.754537 0.656257i \(-0.227861\pi\)
\(252\) 2.20123 + 3.48843i 0.138665 + 0.219751i
\(253\) 5.71742 5.71742i 0.359451 0.359451i
\(254\) 13.6245 + 23.5983i 0.854876 + 1.48069i
\(255\) −0.702572 1.34476i −0.0439968 0.0842122i
\(256\) −8.00344 + 13.8624i −0.500215 + 0.866398i
\(257\) 2.72001 + 10.1512i 0.169670 + 0.633216i 0.997398 + 0.0720873i \(0.0229660\pi\)
−0.827729 + 0.561129i \(0.810367\pi\)
\(258\) 1.83774 + 12.1141i 0.114413 + 0.754193i
\(259\) 12.2323 7.06229i 0.760075 0.438830i
\(260\) 2.13959 0.734997i 0.132692 0.0455826i
\(261\) −8.98657 + 2.79080i −0.556255 + 0.172746i
\(262\) −5.89718 5.89718i −0.364329 0.364329i
\(263\) 3.86662 14.4304i 0.238426 0.889818i −0.738148 0.674638i \(-0.764300\pi\)
0.976574 0.215180i \(-0.0690338\pi\)
\(264\) −5.14807 11.7688i −0.316842 0.724322i
\(265\) −4.53143 + 23.2229i −0.278364 + 1.42657i
\(266\) 16.1949 + 9.35012i 0.992972 + 0.573293i
\(267\) −17.7689 22.2379i −1.08744 1.36094i
\(268\) 8.28214 + 2.21919i 0.505912 + 0.135559i
\(269\) 0.781994 0.0476790 0.0238395 0.999716i \(-0.492411\pi\)
0.0238395 + 0.999716i \(0.492411\pi\)
\(270\) 13.6211 + 13.6988i 0.828956 + 0.833681i
\(271\) −12.4677 −0.757357 −0.378679 0.925528i \(-0.623621\pi\)
−0.378679 + 0.925528i \(0.623621\pi\)
\(272\) 1.87099 + 0.501329i 0.113445 + 0.0303976i
\(273\) −2.57422 3.22165i −0.155799 0.194983i
\(274\) 0.657149 + 0.379405i 0.0396998 + 0.0229207i
\(275\) 2.48633 + 17.8780i 0.149931 + 1.07808i
\(276\) −1.18842 2.71681i −0.0715345 0.163533i
\(277\) −2.43120 + 9.07336i −0.146077 + 0.545165i 0.853629 + 0.520882i \(0.174397\pi\)
−0.999705 + 0.0242830i \(0.992270\pi\)
\(278\) 18.8509 + 18.8509i 1.13060 + 1.13060i
\(279\) −10.6894 9.88041i −0.639959 0.591525i
\(280\) −7.42428 3.62768i −0.443685 0.216796i
\(281\) 26.6024 15.3589i 1.58697 0.916237i 0.593165 0.805081i \(-0.297878\pi\)
0.993803 0.111156i \(-0.0354553\pi\)
\(282\) −1.70836 11.2612i −0.101731 0.670597i
\(283\) −4.86835 18.1689i −0.289393 1.08003i −0.945569 0.325423i \(-0.894493\pi\)
0.656175 0.754609i \(-0.272173\pi\)
\(284\) −3.06369 + 5.30647i −0.181797 + 0.314881i
\(285\) 23.1067 + 7.24789i 1.36872 + 0.429328i
\(286\) −3.97224 6.88013i −0.234884 0.406830i
\(287\) 1.89515 1.89515i 0.111867 0.111867i
\(288\) −12.3269 + 0.484819i −0.726368 + 0.0285682i
\(289\) 16.8465i 0.990973i
\(290\) −7.65689 + 8.79544i −0.449628 + 0.516486i
\(291\) 8.44793 3.69540i 0.495226 0.216628i
\(292\) −1.35026 + 0.361802i −0.0790181 + 0.0211728i
\(293\) −32.6486 + 8.74817i −1.90735 + 0.511074i −0.912588 + 0.408880i \(0.865919\pi\)
−0.994765 + 0.102194i \(0.967414\pi\)
\(294\) −1.20347 + 10.7736i −0.0701880 + 0.628329i
\(295\) 1.24643 0.0862568i 0.0725701 0.00502207i
\(296\) 16.1317i 0.937636i
\(297\) 10.5224 15.5290i 0.610572 0.901081i
\(298\) 8.09218 8.09218i 0.468767 0.468767i
\(299\) 1.48229 + 2.56741i 0.0857232 + 0.148477i
\(300\) 6.43802 + 1.54045i 0.371699 + 0.0889380i
\(301\) 3.82668 6.62800i 0.220566 0.382031i
\(302\) −3.70635 13.8323i −0.213276 0.795959i
\(303\) 8.80952 + 3.44778i 0.506094 + 0.198070i
\(304\) −26.7745 + 15.4583i −1.53562 + 0.886592i
\(305\) −5.81616 + 11.9031i −0.333033 + 0.681572i
\(306\) 0.579519 + 1.86609i 0.0331289 + 0.106677i
\(307\) −2.26728 2.26728i −0.129400 0.129400i 0.639440 0.768841i \(-0.279166\pi\)
−0.768841 + 0.639440i \(0.779166\pi\)
\(308\) 1.28468 4.79449i 0.0732014 0.273191i
\(309\) −5.35341 + 7.26814i −0.304545 + 0.413470i
\(310\) −17.7052 3.45477i −1.00559 0.196218i
\(311\) −1.86689 1.07785i −0.105862 0.0611193i 0.446134 0.894966i \(-0.352800\pi\)
−0.551996 + 0.833847i \(0.686134\pi\)
\(312\) 4.65651 0.706405i 0.263623 0.0399923i
\(313\) 20.9905 + 5.62439i 1.18645 + 0.317909i 0.797483 0.603341i \(-0.206164\pi\)
0.388971 + 0.921250i \(0.372831\pi\)
\(314\) 2.77007 0.156324
\(315\) −1.30549 11.9958i −0.0735562 0.675885i
\(316\) −6.15122 −0.346033
\(317\) 4.47853 + 1.20002i 0.251539 + 0.0673997i 0.382385 0.924003i \(-0.375103\pi\)
−0.130846 + 0.991403i \(0.541769\pi\)
\(318\) 11.1057 28.3765i 0.622776 1.59127i
\(319\) 9.80630 + 5.66167i 0.549047 + 0.316993i
\(320\) 5.66042 3.81207i 0.316427 0.213101i
\(321\) 9.91993 + 1.10811i 0.553677 + 0.0618489i
\(322\) −1.73373 + 6.47035i −0.0966167 + 0.360579i
\(323\) 1.73205 + 1.73205i 0.0963739 + 0.0963739i
\(324\) −3.89702 5.66922i −0.216501 0.314957i
\(325\) −6.56751 0.815995i −0.364300 0.0452633i
\(326\) 21.4057 12.3586i 1.18555 0.684480i
\(327\) −1.49857 + 1.19741i −0.0828709 + 0.0662170i
\(328\) 0.792246 + 2.95670i 0.0437445 + 0.163257i
\(329\) −3.55726 + 6.16136i −0.196118 + 0.339687i
\(330\) 0.979585 23.2256i 0.0539244 1.27853i
\(331\) 14.5549 + 25.2097i 0.800007 + 1.38565i 0.919611 + 0.392831i \(0.128504\pi\)
−0.119604 + 0.992822i \(0.538162\pi\)
\(332\) −0.313757 + 0.313757i −0.0172197 + 0.0172197i
\(333\) −19.9222 + 12.5711i −1.09173 + 0.688893i
\(334\) 16.1663i 0.884582i
\(335\) −18.9182 16.4693i −1.03361 0.899815i
\(336\) 12.4035 + 9.13593i 0.676667 + 0.498406i
\(337\) −24.1823 + 6.47963i −1.31729 + 0.352968i −0.847963 0.530055i \(-0.822171\pi\)
−0.469330 + 0.883023i \(0.655505\pi\)
\(338\) −18.0643 + 4.84031i −0.982568 + 0.263278i
\(339\) −11.6378 8.57197i −0.632081 0.465565i
\(340\) 0.505021 + 0.439647i 0.0273886 + 0.0238432i
\(341\) 17.5162i 0.948554i
\(342\) −27.6017 14.5206i −1.49253 0.785182i
\(343\) 13.6916 13.6916i 0.739274 0.739274i
\(344\) 4.37045 + 7.56984i 0.235639 + 0.408138i
\(345\) −0.365544 + 8.66695i −0.0196802 + 0.466613i
\(346\) 12.4733 21.6043i 0.670566 1.16145i
\(347\) −9.05260 33.7848i −0.485969 1.81366i −0.575657 0.817691i \(-0.695254\pi\)
0.0896885 0.995970i \(-0.471413\pi\)
\(348\) 3.24429 2.59231i 0.173912 0.138962i
\(349\) 17.0932 9.86876i 0.914978 0.528263i 0.0329483 0.999457i \(-0.489510\pi\)
0.882029 + 0.471194i \(0.156177\pi\)
\(350\) −9.18941 11.7969i −0.491195 0.630571i
\(351\) 4.50112 + 5.20018i 0.240252 + 0.277565i
\(352\) 10.4969 + 10.4969i 0.559487 + 0.559487i
\(353\) −1.95875 + 7.31017i −0.104254 + 0.389081i −0.998259 0.0589749i \(-0.981217\pi\)
0.894006 + 0.448056i \(0.147883\pi\)
\(354\) −1.59915 0.178634i −0.0849936 0.00949429i
\(355\) 14.8674 10.0126i 0.789078 0.531413i
\(356\) 10.8791 + 6.28105i 0.576591 + 0.332895i
\(357\) 0.444821 1.13658i 0.0235424 0.0601540i
\(358\) 6.77720 + 1.81594i 0.358186 + 0.0959756i
\(359\) 8.47760 0.447430 0.223715 0.974655i \(-0.428181\pi\)
0.223715 + 0.974655i \(0.428181\pi\)
\(360\) 12.6104 + 5.55894i 0.664625 + 0.292982i
\(361\) −20.0966 −1.05772
\(362\) −38.2114 10.2387i −2.00835 0.538135i
\(363\) −3.48007 + 0.527936i −0.182656 + 0.0277095i
\(364\) 1.57608 + 0.909949i 0.0826089 + 0.0476943i
\(365\) 4.01360 + 0.783166i 0.210081 + 0.0409928i
\(366\) 10.1186 13.7377i 0.528908 0.718080i
\(367\) −2.12506 + 7.93083i −0.110927 + 0.413986i −0.998950 0.0458135i \(-0.985412\pi\)
0.888023 + 0.459799i \(0.152079\pi\)
\(368\) −7.83091 7.83091i −0.408215 0.408215i
\(369\) −3.03407 + 3.28250i −0.157947 + 0.170880i
\(370\) −12.8163 + 26.2294i −0.666290 + 1.36360i
\(371\) −16.4837 + 9.51686i −0.855791 + 0.494091i
\(372\) 5.98212 + 2.34122i 0.310159 + 0.121387i
\(373\) −5.56939 20.7853i −0.288372 1.07622i −0.946340 0.323174i \(-0.895250\pi\)
0.657967 0.753046i \(-0.271416\pi\)
\(374\) 1.17567 2.03631i 0.0607923 0.105295i
\(375\) −14.9429 12.3170i −0.771650 0.636047i
\(376\) −4.06275 7.03689i −0.209520 0.362900i
\(377\) −2.93568 + 2.93568i −0.151195 + 0.151195i
\(378\) −1.11692 + 15.5001i −0.0574483 + 0.797240i
\(379\) 11.1614i 0.573325i 0.958032 + 0.286663i \(0.0925458\pi\)
−0.958032 + 0.286663i \(0.907454\pi\)
\(380\) −10.6617 + 0.737824i −0.546936 + 0.0378496i
\(381\) −3.15134 + 28.2110i −0.161448 + 1.44529i
\(382\) 37.3752 10.0147i 1.91228 0.512394i
\(383\) 14.6977 3.93824i 0.751018 0.201235i 0.137049 0.990564i \(-0.456238\pi\)
0.613970 + 0.789330i \(0.289572\pi\)
\(384\) −21.1031 + 9.23120i −1.07691 + 0.471078i
\(385\) −9.53400 + 10.9517i −0.485898 + 0.558149i
\(386\) 34.4750i 1.75473i
\(387\) −5.94275 + 11.2964i −0.302087 + 0.574229i
\(388\) −2.87743 + 2.87743i −0.146079 + 0.146079i
\(389\) 12.7395 + 22.0655i 0.645920 + 1.11877i 0.984088 + 0.177681i \(0.0568596\pi\)
−0.338168 + 0.941086i \(0.609807\pi\)
\(390\) 8.13250 + 2.55093i 0.411805 + 0.129171i
\(391\) −0.438715 + 0.759876i −0.0221868 + 0.0384286i
\(392\) 2.00158 + 7.47000i 0.101095 + 0.377292i
\(393\) −1.30309 8.58974i −0.0657320 0.433295i
\(394\) 13.2893 7.67255i 0.669503 0.386538i
\(395\) 16.1675 + 7.89984i 0.813475 + 0.397484i
\(396\) −1.82668 + 8.07425i −0.0917939 + 0.405746i
\(397\) −5.96779 5.96779i −0.299515 0.299515i 0.541309 0.840824i \(-0.317929\pi\)
−0.840824 + 0.541309i \(0.817929\pi\)
\(398\) 1.73755 6.48464i 0.0870957 0.325046i
\(399\) 7.80730 + 17.8480i 0.390854 + 0.893518i
\(400\) 24.4868 3.40542i 1.22434 0.170271i
\(401\) 23.6805 + 13.6719i 1.18255 + 0.682744i 0.956602 0.291396i \(-0.0941198\pi\)
0.225945 + 0.974140i \(0.427453\pi\)
\(402\) 20.1649 + 25.2365i 1.00574 + 1.25868i
\(403\) −6.20343 1.66220i −0.309015 0.0828003i
\(404\) −4.17493 −0.207711
\(405\) 2.96187 + 19.9055i 0.147176 + 0.989110i
\(406\) −9.38087 −0.465565
\(407\) 27.3810 + 7.33673i 1.35723 + 0.363668i
\(408\) 0.870159 + 1.08901i 0.0430793 + 0.0539140i
\(409\) 23.5441 + 13.5932i 1.16418 + 0.672140i 0.952302 0.305157i \(-0.0987088\pi\)
0.211878 + 0.977296i \(0.432042\pi\)
\(410\) −1.06089 + 5.43689i −0.0523936 + 0.268509i
\(411\) 0.316801 + 0.724228i 0.0156266 + 0.0357235i
\(412\) 1.03106 3.84798i 0.0507968 0.189576i
\(413\) 0.710697 + 0.710697i 0.0349711 + 0.0349711i
\(414\) 2.46517 10.8965i 0.121157 0.535535i
\(415\) 1.22761 0.421711i 0.0602610 0.0207010i
\(416\) −4.71363 + 2.72142i −0.231105 + 0.133428i
\(417\) 4.16544 + 27.4579i 0.203983 + 1.34462i
\(418\) 9.71346 + 36.2511i 0.475101 + 1.77310i
\(419\) 15.7018 27.1964i 0.767084 1.32863i −0.172053 0.985088i \(-0.555040\pi\)
0.939138 0.343541i \(-0.111627\pi\)
\(420\) 2.46589 + 4.71985i 0.120323 + 0.230305i
\(421\) −15.4328 26.7304i −0.752150 1.30276i −0.946779 0.321885i \(-0.895683\pi\)
0.194629 0.980877i \(-0.437650\pi\)
\(422\) −1.53569 + 1.53569i −0.0747562 + 0.0747562i
\(423\) 5.52436 10.5011i 0.268604 0.510581i
\(424\) 21.7384i 1.05571i
\(425\) −0.762741 1.80413i −0.0369984 0.0875130i
\(426\) −21.1497 + 9.25158i −1.02471 + 0.448240i
\(427\) −10.2942 + 2.75831i −0.498170 + 0.133484i
\(428\) −4.25496 + 1.14011i −0.205671 + 0.0551095i
\(429\) 0.918778 8.22497i 0.0443590 0.397105i
\(430\) 1.09206 + 15.7805i 0.0526636 + 0.761002i
\(431\) 32.6869i 1.57447i −0.616652 0.787236i \(-0.711511\pi\)
0.616652 0.787236i \(-0.288489\pi\)
\(432\) −21.2694 14.4121i −1.02332 0.693403i
\(433\) −7.25927 + 7.25927i −0.348858 + 0.348858i −0.859684 0.510826i \(-0.829340\pi\)
0.510826 + 0.859684i \(0.329340\pi\)
\(434\) −7.25568 12.5672i −0.348284 0.603245i
\(435\) −11.8563 + 2.64691i −0.568467 + 0.126910i
\(436\) 0.423267 0.733120i 0.0202708 0.0351101i
\(437\) −3.62470 13.5276i −0.173393 0.647111i
\(438\) −4.90429 1.91939i −0.234336 0.0917120i
\(439\) −19.4684 + 11.2401i −0.929175 + 0.536459i −0.886550 0.462632i \(-0.846905\pi\)
−0.0426241 + 0.999091i \(0.513572\pi\)
\(440\) −5.38777 15.6839i −0.256852 0.747702i
\(441\) −7.66547 + 8.29312i −0.365022 + 0.394911i
\(442\) 0.609604 + 0.609604i 0.0289959 + 0.0289959i
\(443\) −2.00030 + 7.46524i −0.0950373 + 0.354684i −0.997025 0.0770774i \(-0.975441\pi\)
0.901988 + 0.431762i \(0.142108\pi\)
\(444\) 6.16540 8.37054i 0.292597 0.397248i
\(445\) −20.5274 30.4804i −0.973091 1.44491i
\(446\) −11.9425 6.89501i −0.565494 0.326488i
\(447\) 11.7869 1.78811i 0.557503 0.0845747i
\(448\) 5.30275 + 1.42087i 0.250531 + 0.0671297i
\(449\) −38.1502 −1.80042 −0.900209 0.435458i \(-0.856586\pi\)
−0.900209 + 0.435458i \(0.856586\pi\)
\(450\) 16.0874 + 19.0573i 0.758369 + 0.898370i
\(451\) 5.37886 0.253280
\(452\) 6.16144 + 1.65095i 0.289810 + 0.0776543i
\(453\) 5.43691 13.8920i 0.255448 0.652703i
\(454\) −13.2781 7.66612i −0.623173 0.359789i
\(455\) −2.97385 4.41577i −0.139416 0.207014i
\(456\) −22.1116 2.47000i −1.03547 0.115668i
\(457\) 7.20855 26.9027i 0.337202 1.25845i −0.564261 0.825596i \(-0.690839\pi\)
0.901463 0.432857i \(-0.142495\pi\)
\(458\) 23.3541 + 23.3541i 1.09127 + 1.09127i
\(459\) −0.666801 + 1.92327i −0.0311236 + 0.0897704i
\(460\) −1.24375 3.62060i −0.0579903 0.168811i
\(461\) −21.2301 + 12.2572i −0.988784 + 0.570874i −0.904910 0.425602i \(-0.860062\pi\)
−0.0838731 + 0.996476i \(0.526729\pi\)
\(462\) 14.6093 11.6734i 0.679686 0.543094i
\(463\) −4.62735 17.2695i −0.215051 0.802582i −0.986149 0.165865i \(-0.946958\pi\)
0.771097 0.636717i \(-0.219708\pi\)
\(464\) 7.75455 13.4313i 0.359996 0.623531i
\(465\) −12.7163 13.8362i −0.589704 0.641638i
\(466\) 6.41096 + 11.1041i 0.296982 + 0.514388i
\(467\) −22.2894 + 22.2894i −1.03143 + 1.03143i −0.0319412 + 0.999490i \(0.510169\pi\)
−0.999490 + 0.0319412i \(0.989831\pi\)
\(468\) −2.68619 1.41313i −0.124169 0.0653221i
\(469\) 20.1775i 0.931709i
\(470\) −1.01517 14.6695i −0.0468263 0.676652i
\(471\) 2.32347 + 1.71137i 0.107060 + 0.0788559i
\(472\) −1.10879 + 0.297098i −0.0510360 + 0.0136751i
\(473\) 14.8363 3.97538i 0.682174 0.182788i
\(474\) −18.6593 13.7437i −0.857049 0.631267i
\(475\) 28.9702 + 11.7533i 1.32925 + 0.539279i
\(476\) 0.538636i 0.0246883i
\(477\) 26.8464 16.9403i 1.22921 0.775644i
\(478\) −8.18699 + 8.18699i −0.374464 + 0.374464i
\(479\) 6.76273 + 11.7134i 0.308997 + 0.535199i 0.978143 0.207932i \(-0.0666734\pi\)
−0.669146 + 0.743131i \(0.733340\pi\)
\(480\) −15.9121 0.671121i −0.726284 0.0306324i
\(481\) −5.19667 + 9.00089i −0.236948 + 0.410405i
\(482\) 10.1264 + 37.7923i 0.461246 + 1.72139i
\(483\) −5.45165 + 4.35607i −0.248058 + 0.198208i
\(484\) 1.34527 0.776693i 0.0611487 0.0353042i
\(485\) 11.2583 3.86746i 0.511211 0.175612i
\(486\) 0.845418 25.9043i 0.0383489 1.17504i
\(487\) 17.7890 + 17.7890i 0.806094 + 0.806094i 0.984040 0.177946i \(-0.0569452\pi\)
−0.177946 + 0.984040i \(0.556945\pi\)
\(488\) 3.15027 11.7570i 0.142606 0.532213i
\(489\) 25.5899 + 2.85854i 1.15721 + 0.129268i
\(490\) −2.68030 + 13.7361i −0.121084 + 0.620534i
\(491\) −17.9785 10.3799i −0.811359 0.468438i 0.0360688 0.999349i \(-0.488516\pi\)
−0.847427 + 0.530911i \(0.821850\pi\)
\(492\) 0.718940 1.83699i 0.0324123 0.0828177i
\(493\) −1.18690 0.318030i −0.0534554 0.0143233i
\(494\) −13.7603 −0.619103
\(495\) 15.1707 18.8759i 0.681870 0.848410i
\(496\) 23.9912 1.07724
\(497\) 13.9279 + 3.73197i 0.624752 + 0.167402i
\(498\) −1.65279 + 0.250732i −0.0740631 + 0.0112356i
\(499\) −8.56156 4.94302i −0.383268 0.221280i 0.295971 0.955197i \(-0.404357\pi\)
−0.679239 + 0.733917i \(0.737690\pi\)
\(500\) 8.12206 + 2.65844i 0.363230 + 0.118889i
\(501\) 9.98769 13.5599i 0.446217 0.605813i
\(502\) −8.94821 + 33.3952i −0.399378 + 1.49050i
\(503\) 16.8084 + 16.8084i 0.749450 + 0.749450i 0.974376 0.224926i \(-0.0722140\pi\)
−0.224926 + 0.974376i \(0.572214\pi\)
\(504\) 3.28794 + 10.5874i 0.146457 + 0.471601i
\(505\) 10.9731 + 5.36174i 0.488298 + 0.238594i
\(506\) −11.6425 + 6.72178i −0.517571 + 0.298820i
\(507\) −18.1423 7.10034i −0.805728 0.315337i
\(508\) −3.24234 12.1006i −0.143855 0.536876i
\(509\) −20.1795 + 34.9520i −0.894442 + 1.54922i −0.0599475 + 0.998202i \(0.519093\pi\)
−0.834494 + 0.551017i \(0.814240\pi\)
\(510\) 0.549641 + 2.46201i 0.0243385 + 0.109019i
\(511\) 1.64480 + 2.84887i 0.0727615 + 0.126027i
\(512\) 0.0117190 0.0117190i 0.000517913 0.000517913i
\(513\) −14.1808 29.2321i −0.626096 1.29063i
\(514\) 17.4733i 0.770712i
\(515\) −7.65183 + 8.78963i −0.337180 + 0.387317i
\(516\) 0.625357 5.59824i 0.0275298 0.246449i
\(517\) −13.7918 + 3.69550i −0.606562 + 0.162528i
\(518\) −22.6839 + 6.07815i −0.996675 + 0.267058i
\(519\) 23.8096 10.4151i 1.04513 0.457172i
\(520\) 6.06580 0.419772i 0.266003 0.0184082i
\(521\) 11.5144i 0.504456i 0.967668 + 0.252228i \(0.0811633\pi\)
−0.967668 + 0.252228i \(0.918837\pi\)
\(522\) 15.6333 0.614861i 0.684250 0.0269118i
\(523\) −29.5457 + 29.5457i −1.29194 + 1.29194i −0.358358 + 0.933584i \(0.616663\pi\)
−0.933584 + 0.358358i \(0.883337\pi\)
\(524\) 1.91708 + 3.32049i 0.0837482 + 0.145056i
\(525\) −0.419633 15.5723i −0.0183143 0.679629i
\(526\) −12.4195 + 21.5112i −0.541517 + 0.937934i
\(527\) −0.491963 1.83603i −0.0214303 0.0799788i
\(528\) 4.63706 + 30.5668i 0.201802 + 1.33025i
\(529\) −15.5740 + 8.99168i −0.677133 + 0.390943i
\(530\) 17.2708 35.3457i 0.750195 1.53532i
\(531\) −1.23096 1.13780i −0.0534193 0.0493763i
\(532\) −6.07917 6.07917i −0.263565 0.263565i
\(533\) −0.510428 + 1.90494i −0.0221091 + 0.0825123i
\(534\) 18.9672 + 43.3602i 0.820791 + 1.87638i
\(535\) 12.6477 + 2.46792i 0.546808 + 0.106697i
\(536\) 19.9573 + 11.5223i 0.862024 + 0.497690i
\(537\) 4.56265 + 5.71018i 0.196893 + 0.246412i
\(538\) −1.25587 0.336511i −0.0541446 0.0145080i
\(539\) 13.5895 0.585340
\(540\) −4.41879 7.70404i −0.190154 0.331529i
\(541\) 6.30670 0.271146 0.135573 0.990767i \(-0.456712\pi\)
0.135573 + 0.990767i \(0.456712\pi\)
\(542\) 20.0230 + 5.36514i 0.860060 + 0.230452i
\(543\) −25.7252 32.1953i −1.10398 1.38163i
\(544\) −1.39509 0.805458i −0.0598142 0.0345337i
\(545\) −2.05401 + 1.38330i −0.0879843 + 0.0592540i
\(546\) 2.74782 + 6.28169i 0.117596 + 0.268832i
\(547\) 7.99863 29.8513i 0.341997 1.27635i −0.554085 0.832460i \(-0.686932\pi\)
0.896082 0.443889i \(-0.146401\pi\)
\(548\) −0.246678 0.246678i −0.0105375 0.0105375i
\(549\) 16.9745 5.27147i 0.724454 0.224981i
\(550\) 3.70031 29.7818i 0.157782 1.26990i
\(551\) 16.9850 9.80630i 0.723586 0.417762i
\(552\) −1.19537 7.87969i −0.0508783 0.335382i
\(553\) 3.74650 + 13.9821i 0.159317 + 0.594580i
\(554\) 7.80896 13.5255i 0.331771 0.574644i
\(555\) −26.9548 + 14.0826i −1.14417 + 0.597772i
\(556\) −6.12814 10.6143i −0.259891 0.450145i
\(557\) 6.63181 6.63181i 0.280999 0.280999i −0.552509 0.833507i \(-0.686329\pi\)
0.833507 + 0.552509i \(0.186329\pi\)
\(558\) 12.9153 + 20.4678i 0.546750 + 0.866469i
\(559\) 5.63159i 0.238191i
\(560\) 15.0000 + 13.0583i 0.633867 + 0.551815i
\(561\) 2.24417 0.981675i 0.0947491 0.0414464i
\(562\) −49.3326 + 13.2186i −2.08097 + 0.557594i
\(563\) −18.2031 + 4.87751i −0.767170 + 0.205563i −0.621121 0.783715i \(-0.713322\pi\)
−0.146049 + 0.989277i \(0.546656\pi\)
\(564\) −0.581329 + 5.20411i −0.0244784 + 0.219132i
\(565\) −14.0741 12.2522i −0.592101 0.515455i
\(566\) 31.2741i 1.31455i
\(567\) −10.5130 + 12.3111i −0.441503 + 0.517017i
\(568\) −11.6448 + 11.6448i −0.488605 + 0.488605i
\(569\) −10.4878 18.1654i −0.439670 0.761531i 0.557994 0.829845i \(-0.311571\pi\)
−0.997664 + 0.0683141i \(0.978238\pi\)
\(570\) −33.9901 21.5834i −1.42369 0.904028i
\(571\) −12.2406 + 21.2014i −0.512254 + 0.887250i 0.487645 + 0.873042i \(0.337856\pi\)
−0.999899 + 0.0142078i \(0.995477\pi\)
\(572\) 0.945309 + 3.52794i 0.0395254 + 0.147511i
\(573\) 37.5366 + 14.6907i 1.56811 + 0.613711i
\(574\) −3.85913 + 2.22807i −0.161077 + 0.0929978i
\(575\) −1.38082 + 11.1135i −0.0575841 + 0.463464i
\(576\) −8.93019 2.02032i −0.372091 0.0841800i
\(577\) −12.4198 12.4198i −0.517041 0.517041i 0.399634 0.916675i \(-0.369137\pi\)
−0.916675 + 0.399634i \(0.869137\pi\)
\(578\) 7.24946 27.0554i 0.301538 1.12535i
\(579\) 21.2990 28.9168i 0.885155 1.20174i
\(580\) 4.44679 2.99474i 0.184643 0.124350i
\(581\) 0.904288 + 0.522091i 0.0375162 + 0.0216600i
\(582\) −15.1575 + 2.29943i −0.628299 + 0.0953146i
\(583\) −36.8976 9.88668i −1.52814 0.409465i
\(584\) −3.75705 −0.155468
\(585\) 5.24536 + 7.16399i 0.216869 + 0.296194i
\(586\) 56.1979 2.32151
\(587\) 14.6173 + 3.91669i 0.603320 + 0.161659i 0.547534 0.836784i \(-0.315567\pi\)
0.0557861 + 0.998443i \(0.482234\pi\)
\(588\) 1.81637 4.64108i 0.0749060 0.191395i
\(589\) 26.2743 + 15.1695i 1.08261 + 0.625047i
\(590\) −2.03888 0.397842i −0.0839392 0.0163789i
\(591\) 15.8869 + 1.77466i 0.653499 + 0.0729997i
\(592\) 10.0488 37.5027i 0.413003 1.54135i
\(593\) −12.8270 12.8270i −0.526744 0.526744i 0.392856 0.919600i \(-0.371487\pi\)
−0.919600 + 0.392856i \(0.871487\pi\)
\(594\) −23.5814 + 20.4113i −0.967555 + 0.837486i
\(595\) 0.691755 1.41572i 0.0283592 0.0580388i
\(596\) −4.55641 + 2.63064i −0.186638 + 0.107755i
\(597\) 5.46368 4.36569i 0.223614 0.178676i
\(598\) −1.27573 4.76109i −0.0521685 0.194696i
\(599\) −3.45057 + 5.97656i −0.140987 + 0.244196i −0.927868 0.372908i \(-0.878361\pi\)
0.786882 + 0.617104i \(0.211694\pi\)
\(600\) 15.6420 + 8.47749i 0.638581 + 0.346092i
\(601\) 6.29969 + 10.9114i 0.256970 + 0.445085i 0.965429 0.260667i \(-0.0839426\pi\)
−0.708459 + 0.705752i \(0.750609\pi\)
\(602\) −8.99779 + 8.99779i −0.366722 + 0.366722i
\(603\) 1.32251 + 33.6259i 0.0538570 + 1.36935i
\(604\) 6.58358i 0.267882i
\(605\) −4.53331 + 0.313719i −0.184305 + 0.0127545i
\(606\) −12.6643 9.32804i −0.514454 0.378926i
\(607\) 35.9453 9.63152i 1.45898 0.390931i 0.559839 0.828601i \(-0.310863\pi\)
0.899136 + 0.437670i \(0.144196\pi\)
\(608\) 24.8359 6.65477i 1.00723 0.269887i
\(609\) −7.86845 5.79558i −0.318846 0.234849i
\(610\) 14.4629 16.6135i 0.585586 0.672660i
\(611\) 5.23510i 0.211789i
\(612\) −0.0353045 0.897641i −0.00142710 0.0362850i
\(613\) 12.4072 12.4072i 0.501121 0.501121i −0.410665 0.911786i \(-0.634704\pi\)
0.911786 + 0.410665i \(0.134704\pi\)
\(614\) 2.66556 + 4.61689i 0.107573 + 0.186322i
\(615\) −4.24881 + 3.90491i −0.171328 + 0.157461i
\(616\) 6.67023 11.5532i 0.268751 0.465491i
\(617\) −2.65843 9.92141i −0.107025 0.399421i 0.891542 0.452937i \(-0.149624\pi\)
−0.998567 + 0.0535162i \(0.982957\pi\)
\(618\) 11.7252 9.36885i 0.471656 0.376871i
\(619\) −19.1639 + 11.0643i −0.770264 + 0.444712i −0.832969 0.553320i \(-0.813361\pi\)
0.0627048 + 0.998032i \(0.480027\pi\)
\(620\) 7.45133 + 3.64090i 0.299253 + 0.146222i
\(621\) 8.79969 7.61674i 0.353119 0.305649i
\(622\) 2.53439 + 2.53439i 0.101620 + 0.101620i
\(623\) 7.65114 28.5544i 0.306536 1.14401i
\(624\) −11.2654 1.25841i −0.450977 0.0503767i
\(625\) −17.9334 17.4182i −0.717335 0.696728i
\(626\) −31.2902 18.0654i −1.25061 0.722040i
\(627\) −14.2488 + 36.4076i −0.569044 + 1.45398i
\(628\) −1.23012 0.329609i −0.0490870 0.0131528i
\(629\) −3.07612 −0.122653
\(630\) −3.06546 + 19.8269i −0.122131 + 0.789921i
\(631\) 8.15013 0.324451 0.162226 0.986754i \(-0.448133\pi\)
0.162226 + 0.986754i \(0.448133\pi\)
\(632\) −15.9690 4.27888i −0.635212 0.170205i
\(633\) −2.23686 + 0.339338i −0.0889073 + 0.0134875i
\(634\) −6.67608 3.85443i −0.265141 0.153079i
\(635\) −7.01845 + 35.9684i −0.278519 + 1.42736i
\(636\) −8.30824 + 11.2798i −0.329443 + 0.447273i
\(637\) −1.28958 + 4.81277i −0.0510949 + 0.190689i
\(638\) −13.3125 13.3125i −0.527046 0.527046i
\(639\) −23.4556 5.30647i −0.927888 0.209921i
\(640\) −28.1234 + 9.66101i −1.11168 + 0.381885i
\(641\) −2.49058 + 1.43794i −0.0983722 + 0.0567952i −0.548379 0.836230i \(-0.684755\pi\)
0.450007 + 0.893025i \(0.351422\pi\)
\(642\) −15.4545 6.04840i −0.609939 0.238711i
\(643\) 2.54626 + 9.50279i 0.100415 + 0.374753i 0.997785 0.0665259i \(-0.0211915\pi\)
−0.897370 + 0.441279i \(0.854525\pi\)
\(644\) 1.53981 2.66702i 0.0606768 0.105095i
\(645\) −8.83332 + 13.9110i −0.347811 + 0.547744i
\(646\) −2.03631 3.52700i −0.0801177 0.138768i
\(647\) 14.2662 14.2662i 0.560862 0.560862i −0.368691 0.929552i \(-0.620194\pi\)
0.929552 + 0.368691i \(0.120194\pi\)
\(648\) −6.17332 17.4285i −0.242511 0.684656i
\(649\) 2.01711i 0.0791786i
\(650\) 10.1962 + 4.13664i 0.399929 + 0.162252i
\(651\) 1.67823 15.0237i 0.0657752 0.588825i
\(652\) −10.9763 + 2.94108i −0.429864 + 0.115182i
\(653\) 38.3580 10.2780i 1.50106 0.402209i 0.587607 0.809146i \(-0.300070\pi\)
0.913456 + 0.406937i \(0.133403\pi\)
\(654\) 2.92196 1.27816i 0.114258 0.0499800i
\(655\) −0.774342 11.1894i −0.0302560 0.437207i
\(656\) 7.36719i 0.287641i
\(657\) −2.92779 4.63985i −0.114224 0.181018i
\(658\) 8.36431 8.36431i 0.326075 0.326075i
\(659\) −23.3689 40.4762i −0.910324 1.57673i −0.813607 0.581415i \(-0.802499\pi\)
−0.0967171 0.995312i \(-0.530834\pi\)
\(660\) −3.19861 + 10.1974i −0.124506 + 0.396931i
\(661\) −2.81433 + 4.87455i −0.109465 + 0.189598i −0.915553 0.402196i \(-0.868247\pi\)
0.806089 + 0.591794i \(0.201580\pi\)
\(662\) −12.5266 46.7499i −0.486860 1.81699i
\(663\) 0.134703 + 0.887940i 0.00523142 + 0.0344847i
\(664\) −1.03279 + 0.596280i −0.0400799 + 0.0231402i
\(665\) 8.17082 + 23.7854i 0.316851 + 0.922359i
\(666\) 37.4046 11.6161i 1.44940 0.450114i
\(667\) 4.96772 + 4.96772i 0.192351 + 0.192351i
\(668\) −1.92362 + 7.17905i −0.0744271 + 0.277766i
\(669\) −5.75730 13.1616i −0.222590 0.508855i
\(670\) 23.2954 + 34.5905i 0.899979 + 1.33635i
\(671\) −18.5229 10.6942i −0.715068 0.412845i
\(672\) −7.99752 10.0089i −0.308511 0.386104i
\(673\) 28.7938 + 7.71528i 1.10992 + 0.297402i 0.766798 0.641888i \(-0.221849\pi\)
0.343122 + 0.939291i \(0.388515\pi\)
\(674\) 41.6249 1.60333
\(675\) 1.71999 + 25.9238i 0.0662025 + 0.997806i
\(676\) 8.59784 0.330686
\(677\) −48.2839 12.9376i −1.85570 0.497234i −0.855900 0.517141i \(-0.826996\pi\)
−0.999802 + 0.0199076i \(0.993663\pi\)
\(678\) 15.0015 + 18.7745i 0.576131 + 0.721032i
\(679\) 8.29312 + 4.78804i 0.318261 + 0.183748i
\(680\) 1.00524 + 1.49265i 0.0385493 + 0.0572407i
\(681\) −6.40117 14.6335i −0.245293 0.560757i
\(682\) 7.53763 28.1308i 0.288631 1.07718i
\(683\) 4.38271 + 4.38271i 0.167700 + 0.167700i 0.785968 0.618268i \(-0.212165\pi\)
−0.618268 + 0.785968i \(0.712165\pi\)
\(684\) 10.5294 + 9.73252i 0.402603 + 0.372132i
\(685\) 0.331552 + 0.965154i 0.0126679 + 0.0368766i
\(686\) −27.8803 + 16.0967i −1.06447 + 0.614575i
\(687\) 5.16050 + 34.0172i 0.196886 + 1.29784i
\(688\) −5.44491 20.3207i −0.207585 0.774718i
\(689\) 7.00282 12.1292i 0.266786 0.462087i
\(690\) 4.31665 13.7617i 0.164332 0.523900i
\(691\) −0.346648 0.600412i −0.0131871 0.0228407i 0.859357 0.511377i \(-0.170864\pi\)
−0.872544 + 0.488536i \(0.837531\pi\)
\(692\) −8.10973 + 8.10973i −0.308286 + 0.308286i
\(693\) 19.4658 0.765597i 0.739446 0.0290826i
\(694\) 58.1535i 2.20748i
\(695\) 2.47526 + 35.7681i 0.0938919 + 1.35676i
\(696\) 10.2256 4.47303i 0.387601 0.169550i
\(697\) −0.563807 + 0.151072i −0.0213557 + 0.00572225i
\(698\) −31.6983 + 8.49352i −1.19980 + 0.321485i
\(699\) −1.48285 + 13.2746i −0.0560866 + 0.502092i
\(700\) 2.67708 + 6.33214i 0.101184 + 0.239332i
\(701\) 8.36037i 0.315767i 0.987458 + 0.157883i \(0.0504670\pi\)
−0.987458 + 0.157883i \(0.949533\pi\)
\(702\) −4.99099 10.2884i −0.188373 0.388310i
\(703\) 34.7178 34.7178i 1.30941 1.30941i
\(704\) 5.50881 + 9.54154i 0.207621 + 0.359610i
\(705\) 8.21142 12.9316i 0.309260 0.487031i
\(706\) 6.29148 10.8972i 0.236783 0.410120i
\(707\) 2.54281 + 9.48988i 0.0956320 + 0.356904i
\(708\) 0.688884 + 0.269608i 0.0258898 + 0.0101325i
\(709\) 4.59399 2.65234i 0.172531 0.0996109i −0.411248 0.911524i \(-0.634907\pi\)
0.583779 + 0.811913i \(0.301574\pi\)
\(710\) −28.1855 + 9.68234i −1.05778 + 0.363372i
\(711\) −7.16001 23.0557i −0.268521 0.864657i
\(712\) 23.8737 + 23.8737i 0.894704 + 0.894704i
\(713\) −2.81276 + 10.4974i −0.105339 + 0.393130i
\(714\) −1.20347 + 1.63391i −0.0450389 + 0.0611477i
\(715\) 2.04624 10.4867i 0.0765251 0.392179i
\(716\) −2.79350 1.61283i −0.104398 0.0602742i
\(717\) −11.9250 + 1.80906i −0.445349 + 0.0675606i
\(718\) −13.6149 3.64811i −0.508105 0.136146i
\(719\) −28.3121 −1.05586 −0.527932 0.849286i \(-0.677033\pi\)
−0.527932 + 0.849286i \(0.677033\pi\)
\(720\) −25.8536 20.7786i −0.963505 0.774373i
\(721\) −9.37468 −0.349131
\(722\) 32.2750 + 8.64806i 1.20115 + 0.321847i
\(723\) −14.8546 + 37.9555i −0.552449 + 1.41158i
\(724\) 15.7504 + 9.09349i 0.585359 + 0.337957i
\(725\) −15.5337 + 2.16031i −0.576908 + 0.0802318i
\(726\) 5.81614 + 0.649697i 0.215857 + 0.0241125i
\(727\) −11.6483 + 43.4720i −0.432011 + 1.61229i 0.316108 + 0.948723i \(0.397624\pi\)
−0.748119 + 0.663565i \(0.769043\pi\)
\(728\) 3.45863 + 3.45863i 0.128185 + 0.128185i
\(729\) 16.7130 21.2056i 0.618999 0.785391i
\(730\) −6.10879 2.98490i −0.226096 0.110476i
\(731\) −1.44348 + 0.833392i −0.0533889 + 0.0308241i
\(732\) −6.12805 + 4.89654i −0.226499 + 0.180981i
\(733\) 6.25836 + 23.3565i 0.231158 + 0.862693i 0.979843 + 0.199768i \(0.0640187\pi\)
−0.748685 + 0.662926i \(0.769315\pi\)
\(734\) 6.82565 11.8224i 0.251939 0.436372i
\(735\) −10.7345 + 9.86561i −0.395946 + 0.363898i
\(736\) 4.60515 + 7.97635i 0.169748 + 0.294012i
\(737\) 28.6340 28.6340i 1.05475 1.05475i
\(738\) 6.28523 3.96604i 0.231362 0.145992i
\(739\) 5.60736i 0.206270i 0.994667 + 0.103135i \(0.0328874\pi\)
−0.994667 + 0.103135i \(0.967113\pi\)
\(740\) 8.81243 10.1228i 0.323951 0.372122i
\(741\) −11.5418 8.50120i −0.423998 0.312299i
\(742\) 30.5680 8.19067i 1.12219 0.300689i
\(743\) −8.24852 + 2.21018i −0.302609 + 0.0810838i −0.406928 0.913460i \(-0.633400\pi\)
0.104320 + 0.994544i \(0.466733\pi\)
\(744\) 13.9014 + 10.2392i 0.509650 + 0.375388i
\(745\) 15.3543 1.06256i 0.562536 0.0389292i
\(746\) 35.7776i 1.30991i
\(747\) −1.54122 0.810797i −0.0563903 0.0296655i
\(748\) −0.764383 + 0.764383i −0.0279486 + 0.0279486i
\(749\) 5.18310 + 8.97739i 0.189386 + 0.328027i
\(750\) 18.6979 + 26.2113i 0.682752 + 0.957100i
\(751\) 2.32268 4.02301i 0.0847560 0.146802i −0.820531 0.571602i \(-0.806322\pi\)
0.905287 + 0.424800i \(0.139656\pi\)
\(752\) 5.06156 + 18.8900i 0.184576 + 0.688848i
\(753\) −28.1374 + 22.4828i −1.02538 + 0.819319i
\(754\) 5.97796 3.45138i 0.217704 0.125692i
\(755\) 8.45510 17.3039i 0.307713 0.629753i
\(756\) 2.34035 6.75030i 0.0851175 0.245506i
\(757\) −3.09830 3.09830i −0.112609 0.112609i 0.648557 0.761166i \(-0.275373\pi\)
−0.761166 + 0.648557i \(0.775373\pi\)
\(758\) 4.80304 17.9252i 0.174454 0.651072i
\(759\) −13.9182 1.55474i −0.505199 0.0564337i
\(760\) −28.1918 5.50102i −1.02263 0.199543i
\(761\) 38.9876 + 22.5095i 1.41330 + 0.815968i 0.995698 0.0926625i \(-0.0295377\pi\)
0.417601 + 0.908631i \(0.362871\pi\)
\(762\) 17.2009 43.9505i 0.623122 1.59216i
\(763\) −1.92422 0.515595i −0.0696616 0.0186658i
\(764\) −17.7890 −0.643584
\(765\) −1.06002 + 2.40465i −0.0383252 + 0.0869401i
\(766\) −25.2991 −0.914094
\(767\) −0.714369 0.191415i −0.0257944 0.00691158i
\(768\) 27.4111 4.15834i 0.989114 0.150051i
\(769\) −5.40503 3.12060i −0.194910 0.112532i 0.399369 0.916790i \(-0.369229\pi\)
−0.594279 + 0.804259i \(0.702563\pi\)
\(770\) 20.0243 13.4856i 0.721625 0.485986i
\(771\) 10.7951