Properties

Label 300.2.r.a.59.12
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 59.12
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.12183 + 0.861108i) q^{2} +(1.64941 - 0.528616i) q^{3} +(0.516985 - 1.93203i) q^{4} +(1.99646 - 1.00704i) q^{5} +(-1.39516 + 2.01334i) q^{6} -3.00727 q^{7} +(1.08372 + 2.61258i) q^{8} +(2.44113 - 1.74381i) q^{9} +O(q^{10})\) \(q+(-1.12183 + 0.861108i) q^{2} +(1.64941 - 0.528616i) q^{3} +(0.516985 - 1.93203i) q^{4} +(1.99646 - 1.00704i) q^{5} +(-1.39516 + 2.01334i) q^{6} -3.00727 q^{7} +(1.08372 + 2.61258i) q^{8} +(2.44113 - 1.74381i) q^{9} +(-1.37251 + 2.84890i) q^{10} +(3.97261 + 2.88627i) q^{11} +(-0.168579 - 3.46000i) q^{12} +(-1.00041 - 1.37694i) q^{13} +(3.37363 - 2.58958i) q^{14} +(2.76065 - 2.71639i) q^{15} +(-3.46545 - 1.99766i) q^{16} +(1.60705 - 4.94599i) q^{17} +(-1.23691 + 4.05833i) q^{18} +(-0.378551 - 0.122999i) q^{19} +(-0.913494 - 4.37785i) q^{20} +(-4.96022 + 1.58969i) q^{21} +(-6.94196 + 0.182957i) q^{22} +(-0.680361 + 0.936437i) q^{23} +(3.16855 + 3.73635i) q^{24} +(2.97173 - 4.02105i) q^{25} +(2.30798 + 0.683229i) q^{26} +(3.10462 - 4.16669i) q^{27} +(-1.55471 + 5.81012i) q^{28} +(-4.13192 + 1.34254i) q^{29} +(-0.757862 + 5.42454i) q^{30} +(5.06826 + 1.64678i) q^{31} +(5.60783 - 0.743110i) q^{32} +(8.07820 + 2.66067i) q^{33} +(2.45620 + 6.93238i) q^{34} +(-6.00389 + 3.02845i) q^{35} +(-2.10707 - 5.61785i) q^{36} +(2.06350 + 2.84016i) q^{37} +(0.530583 - 0.187990i) q^{38} +(-2.37796 - 1.74231i) q^{39} +(4.79458 + 4.12456i) q^{40} +(6.11829 + 8.42111i) q^{41} +(4.19561 - 6.05465i) q^{42} -10.9664 q^{43} +(7.63012 - 6.18303i) q^{44} +(3.11753 - 5.93978i) q^{45} +(-0.0431272 - 1.63638i) q^{46} +(-10.9627 + 3.56200i) q^{47} +(-6.77196 - 1.46307i) q^{48} +2.04365 q^{49} +(0.128800 + 7.06989i) q^{50} +(0.0361586 - 9.00749i) q^{51} +(-3.17748 + 1.22095i) q^{52} +(2.93358 + 9.02864i) q^{53} +(0.105126 + 7.34772i) q^{54} +(10.8378 + 1.76174i) q^{55} +(-3.25903 - 7.85671i) q^{56} +(-0.689406 - 0.00276747i) q^{57} +(3.47922 - 5.06413i) q^{58} +(0.303011 - 0.220150i) q^{59} +(-3.82093 - 6.73799i) q^{60} +(-6.49243 - 4.71703i) q^{61} +(-7.10375 + 2.51692i) q^{62} +(-7.34113 + 5.24411i) q^{63} +(-5.65111 + 5.66259i) q^{64} +(-3.38391 - 1.74156i) q^{65} +(-11.3535 + 3.97141i) q^{66} +(0.185360 - 0.570480i) q^{67} +(-8.72496 - 5.66186i) q^{68} +(-0.627181 + 1.90422i) q^{69} +(4.12750 - 8.56739i) q^{70} +(-2.83271 - 8.71817i) q^{71} +(7.20134 + 4.48784i) q^{72} +(-6.41908 + 8.83511i) q^{73} +(-4.76057 - 1.40927i) q^{74} +(2.77602 - 8.20328i) q^{75} +(-0.433342 + 0.667782i) q^{76} +(-11.9467 - 8.67978i) q^{77} +(4.16797 - 0.0931064i) q^{78} +(2.30660 - 0.749460i) q^{79} +(-8.93038 - 0.498384i) q^{80} +(2.91823 - 8.51375i) q^{81} +(-14.1151 - 4.17850i) q^{82} +(0.583515 + 0.189595i) q^{83} +(0.506963 + 10.4051i) q^{84} +(-1.77241 - 11.4928i) q^{85} +(12.3024 - 9.44326i) q^{86} +(-6.10555 + 4.39860i) q^{87} +(-3.23541 + 13.5066i) q^{88} +(-2.36033 + 3.24871i) q^{89} +(1.61747 + 9.34793i) q^{90} +(3.00849 + 4.14083i) q^{91} +(1.45748 + 1.79860i) q^{92} +(9.23017 + 0.0370524i) q^{93} +(9.23096 - 13.4360i) q^{94} +(-0.879628 + 0.135655i) q^{95} +(8.85681 - 4.19009i) q^{96} +(-3.41159 + 1.10849i) q^{97} +(-2.29262 + 1.75980i) q^{98} +(14.7308 + 0.118269i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.12183 + 0.861108i −0.793250 + 0.608896i
\(3\) 1.64941 0.528616i 0.952289 0.305197i
\(4\) 0.516985 1.93203i 0.258492 0.966013i
\(5\) 1.99646 1.00704i 0.892845 0.450363i
\(6\) −1.39516 + 2.01334i −0.569571 + 0.821942i
\(7\) −3.00727 −1.13664 −0.568320 0.822808i \(-0.692406\pi\)
−0.568320 + 0.822808i \(0.692406\pi\)
\(8\) 1.08372 + 2.61258i 0.383152 + 0.923685i
\(9\) 2.44113 1.74381i 0.813710 0.581271i
\(10\) −1.37251 + 2.84890i −0.434026 + 0.900901i
\(11\) 3.97261 + 2.88627i 1.19779 + 0.870243i 0.994065 0.108786i \(-0.0346964\pi\)
0.203721 + 0.979029i \(0.434696\pi\)
\(12\) −0.168579 3.46000i −0.0486647 0.998815i
\(13\) −1.00041 1.37694i −0.277463 0.381895i 0.647429 0.762126i \(-0.275844\pi\)
−0.924891 + 0.380231i \(0.875844\pi\)
\(14\) 3.37363 2.58958i 0.901640 0.692095i
\(15\) 2.76065 2.71639i 0.712798 0.701370i
\(16\) −3.46545 1.99766i −0.866363 0.499414i
\(17\) 1.60705 4.94599i 0.389767 1.19958i −0.543196 0.839606i \(-0.682786\pi\)
0.932963 0.359972i \(-0.117214\pi\)
\(18\) −1.23691 + 4.05833i −0.291542 + 0.956558i
\(19\) −0.378551 0.122999i −0.0868455 0.0282178i 0.265272 0.964174i \(-0.414538\pi\)
−0.352117 + 0.935956i \(0.614538\pi\)
\(20\) −0.913494 4.37785i −0.204263 0.978916i
\(21\) −4.96022 + 1.58969i −1.08241 + 0.346899i
\(22\) −6.94196 + 0.182957i −1.48003 + 0.0390065i
\(23\) −0.680361 + 0.936437i −0.141865 + 0.195261i −0.874037 0.485859i \(-0.838507\pi\)
0.732172 + 0.681120i \(0.238507\pi\)
\(24\) 3.16855 + 3.73635i 0.646777 + 0.762679i
\(25\) 2.97173 4.02105i 0.594346 0.804210i
\(26\) 2.30798 + 0.683229i 0.452631 + 0.133992i
\(27\) 3.10462 4.16669i 0.597485 0.801880i
\(28\) −1.55471 + 5.81012i −0.293813 + 1.09801i
\(29\) −4.13192 + 1.34254i −0.767278 + 0.249304i −0.666399 0.745595i \(-0.732165\pi\)
−0.100878 + 0.994899i \(0.532165\pi\)
\(30\) −0.757862 + 5.42454i −0.138366 + 0.990381i
\(31\) 5.06826 + 1.64678i 0.910286 + 0.295770i 0.726476 0.687192i \(-0.241157\pi\)
0.183810 + 0.982962i \(0.441157\pi\)
\(32\) 5.60783 0.743110i 0.991334 0.131365i
\(33\) 8.07820 + 2.66067i 1.40623 + 0.463162i
\(34\) 2.45620 + 6.93238i 0.421235 + 1.18889i
\(35\) −6.00389 + 3.02845i −1.01484 + 0.511901i
\(36\) −2.10707 5.61785i −0.351178 0.936309i
\(37\) 2.06350 + 2.84016i 0.339237 + 0.466919i 0.944218 0.329320i \(-0.106819\pi\)
−0.604981 + 0.796240i \(0.706819\pi\)
\(38\) 0.530583 0.187990i 0.0860719 0.0304961i
\(39\) −2.37796 1.74231i −0.380778 0.278993i
\(40\) 4.79458 + 4.12456i 0.758090 + 0.652150i
\(41\) 6.11829 + 8.42111i 0.955517 + 1.31516i 0.949033 + 0.315177i \(0.102064\pi\)
0.00648421 + 0.999979i \(0.497936\pi\)
\(42\) 4.19561 6.05465i 0.647397 0.934252i
\(43\) −10.9664 −1.67236 −0.836181 0.548454i \(-0.815217\pi\)
−0.836181 + 0.548454i \(0.815217\pi\)
\(44\) 7.63012 6.18303i 1.15028 0.932127i
\(45\) 3.11753 5.93978i 0.464734 0.885450i
\(46\) −0.0431272 1.63638i −0.00635875 0.241272i
\(47\) −10.9627 + 3.56200i −1.59907 + 0.519570i −0.966878 0.255239i \(-0.917846\pi\)
−0.632195 + 0.774809i \(0.717846\pi\)
\(48\) −6.77196 1.46307i −0.977448 0.211175i
\(49\) 2.04365 0.291950
\(50\) 0.128800 + 7.06989i 0.0182150 + 0.999834i
\(51\) 0.0361586 9.00749i 0.00506321 1.26130i
\(52\) −3.17748 + 1.22095i −0.440637 + 0.169316i
\(53\) 2.93358 + 9.02864i 0.402959 + 1.24018i 0.922588 + 0.385788i \(0.126070\pi\)
−0.519629 + 0.854392i \(0.673930\pi\)
\(54\) 0.105126 + 7.34772i 0.0143058 + 0.999898i
\(55\) 10.8378 + 1.76174i 1.46136 + 0.237553i
\(56\) −3.25903 7.85671i −0.435506 1.04990i
\(57\) −0.689406 0.00276747i −0.0913140 0.000366560i
\(58\) 3.47922 5.06413i 0.456843 0.664952i
\(59\) 0.303011 0.220150i 0.0394487 0.0286611i −0.567886 0.823107i \(-0.692239\pi\)
0.607335 + 0.794446i \(0.292239\pi\)
\(60\) −3.82093 6.73799i −0.493280 0.869871i
\(61\) −6.49243 4.71703i −0.831270 0.603953i 0.0886481 0.996063i \(-0.471745\pi\)
−0.919918 + 0.392110i \(0.871745\pi\)
\(62\) −7.10375 + 2.51692i −0.902178 + 0.319650i
\(63\) −7.34113 + 5.24411i −0.924895 + 0.660696i
\(64\) −5.65111 + 5.66259i −0.706389 + 0.707824i
\(65\) −3.38391 1.74156i −0.419723 0.216014i
\(66\) −11.3535 + 3.97141i −1.39751 + 0.488846i
\(67\) 0.185360 0.570480i 0.0226453 0.0696952i −0.939095 0.343657i \(-0.888334\pi\)
0.961741 + 0.273962i \(0.0883342\pi\)
\(68\) −8.72496 5.66186i −1.05806 0.686601i
\(69\) −0.627181 + 1.90422i −0.0755037 + 0.229241i
\(70\) 4.12750 8.56739i 0.493331 1.02400i
\(71\) −2.83271 8.71817i −0.336180 1.03466i −0.966138 0.258027i \(-0.916928\pi\)
0.629957 0.776630i \(-0.283072\pi\)
\(72\) 7.20134 + 4.48784i 0.848686 + 0.528897i
\(73\) −6.41908 + 8.83511i −0.751297 + 1.03407i 0.246592 + 0.969120i \(0.420689\pi\)
−0.997888 + 0.0649519i \(0.979311\pi\)
\(74\) −4.76057 1.40927i −0.553405 0.163824i
\(75\) 2.77602 8.20328i 0.320547 0.947233i
\(76\) −0.433342 + 0.667782i −0.0497077 + 0.0765998i
\(77\) −11.9467 8.67978i −1.36145 0.989152i
\(78\) 4.16797 0.0931064i 0.471930 0.0105422i
\(79\) 2.30660 0.749460i 0.259513 0.0843208i −0.176371 0.984324i \(-0.556436\pi\)
0.435884 + 0.900003i \(0.356436\pi\)
\(80\) −8.93038 0.498384i −0.998446 0.0557210i
\(81\) 2.91823 8.51375i 0.324248 0.945972i
\(82\) −14.1151 4.17850i −1.55876 0.461438i
\(83\) 0.583515 + 0.189595i 0.0640491 + 0.0208108i 0.340866 0.940112i \(-0.389280\pi\)
−0.276817 + 0.960923i \(0.589280\pi\)
\(84\) 0.506963 + 10.4051i 0.0553142 + 1.13529i
\(85\) −1.77241 11.4928i −0.192245 1.24657i
\(86\) 12.3024 9.44326i 1.32660 1.01829i
\(87\) −6.10555 + 4.39860i −0.654584 + 0.471580i
\(88\) −3.23541 + 13.5066i −0.344896 + 1.43981i
\(89\) −2.36033 + 3.24871i −0.250194 + 0.344363i −0.915579 0.402137i \(-0.868267\pi\)
0.665385 + 0.746500i \(0.268267\pi\)
\(90\) 1.61747 + 9.34793i 0.170497 + 0.985358i
\(91\) 3.00849 + 4.14083i 0.315375 + 0.434076i
\(92\) 1.45748 + 1.79860i 0.151953 + 0.187517i
\(93\) 9.23017 + 0.0370524i 0.957124 + 0.00384216i
\(94\) 9.23096 13.4360i 0.952101 1.38582i
\(95\) −0.879628 + 0.135655i −0.0902479 + 0.0139179i
\(96\) 8.85681 4.19009i 0.903945 0.427649i
\(97\) −3.41159 + 1.10849i −0.346395 + 0.112550i −0.477047 0.878878i \(-0.658293\pi\)
0.130652 + 0.991428i \(0.458293\pi\)
\(98\) −2.29262 + 1.75980i −0.231589 + 0.177767i
\(99\) 14.7308 + 0.118269i 1.48050 + 0.0118864i
\(100\) −6.23244 7.82028i −0.623244 0.782028i
\(101\) 10.6388i 1.05860i 0.848435 + 0.529299i \(0.177545\pi\)
−0.848435 + 0.529299i \(0.822455\pi\)
\(102\) 7.71586 + 10.1360i 0.763984 + 1.00361i
\(103\) −1.21074 3.72627i −0.119297 0.367160i 0.873522 0.486785i \(-0.161831\pi\)
−0.992819 + 0.119625i \(0.961831\pi\)
\(104\) 2.51320 4.10585i 0.246440 0.402612i
\(105\) −8.30202 + 8.16892i −0.810194 + 0.797205i
\(106\) −11.0656 7.60243i −1.07479 0.738413i
\(107\) 8.18685i 0.791453i 0.918369 + 0.395726i \(0.129507\pi\)
−0.918369 + 0.395726i \(0.870493\pi\)
\(108\) −6.44511 8.15233i −0.620181 0.784458i
\(109\) −4.70187 + 3.41611i −0.450358 + 0.327204i −0.789737 0.613445i \(-0.789783\pi\)
0.339379 + 0.940650i \(0.389783\pi\)
\(110\) −13.6751 + 7.35612i −1.30387 + 0.701379i
\(111\) 4.90492 + 3.59380i 0.465554 + 0.341108i
\(112\) 10.4215 + 6.00748i 0.984743 + 0.567654i
\(113\) 10.1280 7.35842i 0.952762 0.692222i 0.00130374 0.999999i \(-0.499585\pi\)
0.951459 + 0.307777i \(0.0995850\pi\)
\(114\) 0.775776 0.590549i 0.0726581 0.0553099i
\(115\) −0.415283 + 2.55471i −0.0387254 + 0.238228i
\(116\) 0.457688 + 8.67705i 0.0424953 + 0.805644i
\(117\) −4.84325 1.61677i −0.447758 0.149470i
\(118\) −0.150352 + 0.507896i −0.0138410 + 0.0467556i
\(119\) −4.83282 + 14.8739i −0.443024 + 1.36349i
\(120\) 10.0886 + 4.26861i 0.920955 + 0.389669i
\(121\) 4.05188 + 12.4704i 0.368353 + 1.13367i
\(122\) 11.3452 0.299006i 1.02715 0.0270707i
\(123\) 14.5431 + 10.6557i 1.31131 + 0.960789i
\(124\) 5.80183 8.94065i 0.521020 0.802894i
\(125\) 1.88357 11.0205i 0.168472 0.985706i
\(126\) 3.71971 12.2045i 0.331378 1.08726i
\(127\) −6.51733 4.73512i −0.578319 0.420174i 0.259799 0.965663i \(-0.416344\pi\)
−0.838118 + 0.545489i \(0.816344\pi\)
\(128\) 1.46345 11.2187i 0.129352 0.991599i
\(129\) −18.0881 + 5.79702i −1.59257 + 0.510399i
\(130\) 5.29583 0.960190i 0.464475 0.0842142i
\(131\) 1.23161 3.79050i 0.107606 0.331178i −0.882727 0.469886i \(-0.844295\pi\)
0.990333 + 0.138708i \(0.0442950\pi\)
\(132\) 9.31678 14.2318i 0.810922 1.23872i
\(133\) 1.13840 + 0.369890i 0.0987121 + 0.0320735i
\(134\) 0.283303 + 0.799594i 0.0244737 + 0.0690744i
\(135\) 2.00223 11.4451i 0.172324 0.985040i
\(136\) 14.6634 1.16152i 1.25737 0.0995993i
\(137\) −5.45028 + 3.95986i −0.465649 + 0.338314i −0.795743 0.605634i \(-0.792919\pi\)
0.330094 + 0.943948i \(0.392919\pi\)
\(138\) −0.936153 2.67628i −0.0796907 0.227820i
\(139\) −6.84697 + 9.42404i −0.580752 + 0.799337i −0.993778 0.111383i \(-0.964472\pi\)
0.413025 + 0.910720i \(0.364472\pi\)
\(140\) 2.74712 + 13.1653i 0.232174 + 1.11267i
\(141\) −16.1991 + 11.6703i −1.36421 + 0.982813i
\(142\) 10.6851 + 7.34100i 0.896673 + 0.616043i
\(143\) 8.35748i 0.698888i
\(144\) −11.9432 + 1.16657i −0.995264 + 0.0972140i
\(145\) −6.89722 + 6.84135i −0.572783 + 0.568143i
\(146\) −0.406897 15.4390i −0.0336750 1.27774i
\(147\) 3.37082 1.08031i 0.278021 0.0891021i
\(148\) 6.55406 2.51841i 0.538741 0.207012i
\(149\) 8.04254i 0.658871i −0.944178 0.329435i \(-0.893142\pi\)
0.944178 0.329435i \(-0.106858\pi\)
\(150\) 3.94970 + 11.5931i 0.322492 + 0.946572i
\(151\) 5.58358i 0.454386i −0.973850 0.227193i \(-0.927045\pi\)
0.973850 0.227193i \(-0.0729548\pi\)
\(152\) −0.0888991 1.12229i −0.00721067 0.0910296i
\(153\) −4.70187 14.8762i −0.380123 1.20267i
\(154\) 20.8763 0.550199i 1.68226 0.0443363i
\(155\) 11.7770 1.81623i 0.945949 0.145883i
\(156\) −4.59556 + 3.69352i −0.367939 + 0.295719i
\(157\) 10.5661i 0.843264i 0.906767 + 0.421632i \(0.138543\pi\)
−0.906767 + 0.421632i \(0.861457\pi\)
\(158\) −1.94224 + 2.82700i −0.154516 + 0.224904i
\(159\) 9.61138 + 13.3412i 0.762232 + 1.05803i
\(160\) 10.4475 7.13092i 0.825946 0.563749i
\(161\) 2.04603 2.81611i 0.161250 0.221941i
\(162\) 4.05752 + 12.0639i 0.318789 + 0.947826i
\(163\) 11.6419 8.45837i 0.911867 0.662510i −0.0296191 0.999561i \(-0.509429\pi\)
0.941486 + 0.337051i \(0.109429\pi\)
\(164\) 19.4329 7.46712i 1.51745 0.583084i
\(165\) 18.8072 2.82318i 1.46414 0.219784i
\(166\) −0.817864 + 0.289776i −0.0634785 + 0.0224910i
\(167\) 10.3176 + 3.35241i 0.798403 + 0.259417i 0.679678 0.733510i \(-0.262119\pi\)
0.118725 + 0.992927i \(0.462119\pi\)
\(168\) −9.52867 11.2362i −0.735153 0.866891i
\(169\) 3.12207 9.60874i 0.240159 0.739134i
\(170\) 11.8849 + 11.3667i 0.911532 + 0.871788i
\(171\) −1.13858 + 0.359866i −0.0870693 + 0.0275197i
\(172\) −5.66946 + 21.1874i −0.432292 + 1.61552i
\(173\) 20.7313 + 15.0622i 1.57617 + 1.14515i 0.920926 + 0.389738i \(0.127434\pi\)
0.655245 + 0.755417i \(0.272566\pi\)
\(174\) 3.06169 10.1920i 0.232106 0.772654i
\(175\) −8.93677 + 12.0924i −0.675557 + 0.914097i
\(176\) −8.00112 17.9381i −0.603107 1.35214i
\(177\) 0.383415 0.523296i 0.0288193 0.0393333i
\(178\) −0.149618 5.67699i −0.0112143 0.425508i
\(179\) −1.83074 5.63445i −0.136836 0.421138i 0.859035 0.511917i \(-0.171064\pi\)
−0.995871 + 0.0907786i \(0.971064\pi\)
\(180\) −9.86410 9.09392i −0.735227 0.677821i
\(181\) 2.15169 6.62223i 0.159934 0.492226i −0.838693 0.544604i \(-0.816680\pi\)
0.998627 + 0.0523777i \(0.0166800\pi\)
\(182\) −6.94070 2.05465i −0.514479 0.152301i
\(183\) −13.2022 4.34832i −0.975934 0.321437i
\(184\) −3.18383 0.762662i −0.234715 0.0562242i
\(185\) 6.97986 + 3.59224i 0.513170 + 0.264107i
\(186\) −10.3865 + 7.90661i −0.761578 + 0.579741i
\(187\) 20.6596 15.0101i 1.51078 1.09765i
\(188\) 1.21433 + 23.0217i 0.0885638 + 1.67903i
\(189\) −9.33643 + 12.5303i −0.679125 + 0.911449i
\(190\) 0.869975 0.909636i 0.0631146 0.0659919i
\(191\) −17.2162 + 12.5083i −1.24572 + 0.905070i −0.997966 0.0637519i \(-0.979693\pi\)
−0.247757 + 0.968822i \(0.579693\pi\)
\(192\) −6.32768 + 12.3272i −0.456661 + 0.889641i
\(193\) 11.8846i 0.855470i −0.903904 0.427735i \(-0.859312\pi\)
0.903904 0.427735i \(-0.140688\pi\)
\(194\) 2.87268 4.18129i 0.206246 0.300199i
\(195\) −6.50209 1.08376i −0.465624 0.0776096i
\(196\) 1.05653 3.94838i 0.0754667 0.282027i
\(197\) −3.89079 11.9746i −0.277207 0.853156i −0.988627 0.150388i \(-0.951948\pi\)
0.711420 0.702767i \(-0.248052\pi\)
\(198\) −16.6272 + 12.5521i −1.18164 + 0.892040i
\(199\) 5.65748i 0.401048i −0.979689 0.200524i \(-0.935735\pi\)
0.979689 0.200524i \(-0.0642645\pi\)
\(200\) 13.7258 + 3.40618i 0.970561 + 0.240853i
\(201\) 0.00417060 1.03894i 0.000294171 0.0732813i
\(202\) −9.16114 11.9348i −0.644576 0.839733i
\(203\) 12.4258 4.03738i 0.872118 0.283368i
\(204\) −17.3840 4.72659i −1.21712 0.330928i
\(205\) 20.6954 + 10.6510i 1.44543 + 0.743901i
\(206\) 4.56696 + 3.13764i 0.318195 + 0.218610i
\(207\) −0.0278787 + 3.47239i −0.00193770 + 0.241348i
\(208\) 0.716207 + 6.77019i 0.0496600 + 0.469428i
\(209\) −1.14883 1.58122i −0.0794660 0.109376i
\(210\) 2.27909 16.3130i 0.157272 1.12571i
\(211\) −7.55596 + 10.3999i −0.520174 + 0.715958i −0.985593 0.169132i \(-0.945903\pi\)
0.465420 + 0.885090i \(0.345903\pi\)
\(212\) 18.9602 1.00009i 1.30219 0.0686867i
\(213\) −9.28087 12.8825i −0.635915 0.882691i
\(214\) −7.04976 9.18422i −0.481912 0.627820i
\(215\) −21.8940 + 11.0436i −1.49316 + 0.753170i
\(216\) 14.2503 + 3.59555i 0.969612 + 0.244646i
\(217\) −15.2416 4.95230i −1.03467 0.336184i
\(218\) 2.33304 7.88110i 0.158013 0.533776i
\(219\) −5.91734 + 17.9660i −0.399857 + 1.21403i
\(220\) 9.00668 20.0281i 0.607230 1.35029i
\(221\) −8.41803 + 2.73518i −0.566258 + 0.183988i
\(222\) −8.59711 + 0.192047i −0.577000 + 0.0128893i
\(223\) −2.79547 2.03103i −0.187199 0.136008i 0.490239 0.871588i \(-0.336910\pi\)
−0.677438 + 0.735580i \(0.736910\pi\)
\(224\) −16.8642 + 2.23473i −1.12679 + 0.149314i
\(225\) 0.242413 14.9980i 0.0161609 0.999869i
\(226\) −5.02545 + 16.9762i −0.334288 + 1.12924i
\(227\) 0.351048 0.483176i 0.0232999 0.0320695i −0.797208 0.603705i \(-0.793691\pi\)
0.820508 + 0.571635i \(0.193691\pi\)
\(228\) −0.361759 + 1.33052i −0.0239581 + 0.0881158i
\(229\) 3.04992 + 9.38669i 0.201544 + 0.620290i 0.999838 + 0.0180210i \(0.00573658\pi\)
−0.798293 + 0.602269i \(0.794263\pi\)
\(230\) −1.73401 3.22355i −0.114337 0.212554i
\(231\) −24.2933 8.00133i −1.59838 0.526449i
\(232\) −7.98532 9.34001i −0.524262 0.613202i
\(233\) −4.44821 + 13.6902i −0.291412 + 0.896874i 0.692991 + 0.720946i \(0.256293\pi\)
−0.984403 + 0.175928i \(0.943707\pi\)
\(234\) 6.82549 2.35683i 0.446196 0.154071i
\(235\) −18.2995 + 18.1513i −1.19373 + 1.18406i
\(236\) −0.268684 0.699240i −0.0174899 0.0455166i
\(237\) 3.40836 2.45547i 0.221397 0.159500i
\(238\) −7.38646 20.8475i −0.478793 1.35134i
\(239\) −14.8081 10.7587i −0.957854 0.695921i −0.00520227 0.999986i \(-0.501656\pi\)
−0.952651 + 0.304065i \(0.901656\pi\)
\(240\) −14.9933 + 3.89870i −0.967816 + 0.251660i
\(241\) 6.23479 4.52984i 0.401618 0.291793i −0.368582 0.929595i \(-0.620156\pi\)
0.770200 + 0.637803i \(0.220156\pi\)
\(242\) −15.2839 10.5005i −0.982484 0.674998i
\(243\) 0.312859 15.5853i 0.0200699 0.999799i
\(244\) −12.4699 + 10.1049i −0.798304 + 0.646901i
\(245\) 4.08007 2.05804i 0.260666 0.131483i
\(246\) −25.4905 + 0.569421i −1.62522 + 0.0363050i
\(247\) 0.209343 + 0.644290i 0.0133202 + 0.0409952i
\(248\) 1.19023 + 15.0259i 0.0755798 + 0.954143i
\(249\) 1.06268 + 0.00426589i 0.0673446 + 0.000270340i
\(250\) 7.37683 + 13.9851i 0.466552 + 0.884494i
\(251\) 28.3191 1.78749 0.893743 0.448579i \(-0.148070\pi\)
0.893743 + 0.448579i \(0.148070\pi\)
\(252\) 6.33651 + 16.8944i 0.399163 + 1.06425i
\(253\) −5.40562 + 1.75639i −0.339848 + 0.110423i
\(254\) 11.3888 0.300153i 0.714594 0.0188332i
\(255\) −8.99874 18.0195i −0.563523 1.12843i
\(256\) 8.01874 + 13.8456i 0.501171 + 0.865348i
\(257\) −3.39445 −0.211740 −0.105870 0.994380i \(-0.533763\pi\)
−0.105870 + 0.994380i \(0.533763\pi\)
\(258\) 15.2999 22.0791i 0.952528 1.37458i
\(259\) −6.20549 8.54112i −0.385590 0.530719i
\(260\) −5.11417 + 5.63745i −0.317167 + 0.349620i
\(261\) −7.74540 + 10.4826i −0.479428 + 0.648857i
\(262\) 1.88238 + 5.31283i 0.116294 + 0.328228i
\(263\) 7.03234 + 9.67919i 0.433633 + 0.596844i 0.968782 0.247913i \(-0.0797447\pi\)
−0.535150 + 0.844757i \(0.679745\pi\)
\(264\) 1.80330 + 23.9883i 0.110986 + 1.47638i
\(265\) 14.9490 + 15.0711i 0.918311 + 0.925811i
\(266\) −1.59560 + 0.565337i −0.0978328 + 0.0346630i
\(267\) −2.17584 + 6.60618i −0.133159 + 0.404292i
\(268\) −1.00635 0.653050i −0.0614728 0.0398914i
\(269\) −21.2551 6.90619i −1.29594 0.421078i −0.421775 0.906700i \(-0.638593\pi\)
−0.874169 + 0.485623i \(0.838593\pi\)
\(270\) 7.60935 + 14.5636i 0.463090 + 0.886311i
\(271\) 3.48491 1.13232i 0.211693 0.0687833i −0.201251 0.979540i \(-0.564501\pi\)
0.412944 + 0.910756i \(0.364501\pi\)
\(272\) −15.4495 + 13.9298i −0.936766 + 0.844616i
\(273\) 7.15115 + 5.23960i 0.432807 + 0.317115i
\(274\) 2.70439 9.13556i 0.163378 0.551899i
\(275\) 23.4113 7.39685i 1.41176 0.446047i
\(276\) 3.35476 + 2.19618i 0.201933 + 0.132195i
\(277\) 15.1007 20.7843i 0.907313 1.24881i −0.0607623 0.998152i \(-0.519353\pi\)
0.968076 0.250658i \(-0.0806468\pi\)
\(278\) −0.434020 16.4681i −0.0260308 0.987692i
\(279\) 15.2439 4.81810i 0.912631 0.288452i
\(280\) −14.4186 12.4037i −0.861675 0.741260i
\(281\) 5.60466 + 1.82106i 0.334346 + 0.108636i 0.471379 0.881931i \(-0.343757\pi\)
−0.137033 + 0.990567i \(0.543757\pi\)
\(282\) 8.12319 27.0412i 0.483729 1.61028i
\(283\) 8.34697 25.6893i 0.496176 1.52707i −0.318941 0.947775i \(-0.603327\pi\)
0.815116 0.579297i \(-0.196673\pi\)
\(284\) −18.3082 + 0.965703i −1.08639 + 0.0573039i
\(285\) −1.37916 + 0.688736i −0.0816944 + 0.0407972i
\(286\) 7.19670 + 9.37564i 0.425550 + 0.554393i
\(287\) −18.3993 25.3245i −1.08608 1.49486i
\(288\) 12.3936 11.5930i 0.730300 0.683127i
\(289\) −8.12690 5.90454i −0.478053 0.347326i
\(290\) 1.84633 13.6141i 0.108420 0.799445i
\(291\) −5.04116 + 3.63179i −0.295518 + 0.212899i
\(292\) 13.7511 + 16.9695i 0.804722 + 0.993062i
\(293\) −19.0913 −1.11533 −0.557663 0.830068i \(-0.688302\pi\)
−0.557663 + 0.830068i \(0.688302\pi\)
\(294\) −2.85121 + 4.11456i −0.166286 + 0.239966i
\(295\) 0.383249 0.744667i 0.0223136 0.0433562i
\(296\) −5.18389 + 8.46898i −0.301307 + 0.492249i
\(297\) 24.3596 7.59185i 1.41349 0.440524i
\(298\) 6.92550 + 9.02233i 0.401183 + 0.522649i
\(299\) 1.97005 0.113931
\(300\) −14.4138 9.60430i −0.832181 0.554505i
\(301\) 32.9789 1.90087
\(302\) 4.80807 + 6.26381i 0.276673 + 0.360442i
\(303\) 5.62383 + 17.5477i 0.323081 + 1.00809i
\(304\) 1.06614 + 1.18246i 0.0611474 + 0.0678188i
\(305\) −17.7121 2.87921i −1.01419 0.164863i
\(306\) 18.0847 + 12.6397i 1.03383 + 0.722562i
\(307\) 25.6193 1.46217 0.731085 0.682286i \(-0.239014\pi\)
0.731085 + 0.682286i \(0.239014\pi\)
\(308\) −22.9458 + 18.5940i −1.30746 + 1.05949i
\(309\) −3.96677 5.50614i −0.225662 0.313233i
\(310\) −11.6477 + 12.1787i −0.661547 + 0.691706i
\(311\) 8.18942 + 5.94996i 0.464380 + 0.337391i 0.795247 0.606286i \(-0.207341\pi\)
−0.330867 + 0.943677i \(0.607341\pi\)
\(312\) 1.97489 8.10077i 0.111806 0.458616i
\(313\) 12.1594 + 16.7359i 0.687287 + 0.945970i 0.999992 0.00388029i \(-0.00123514\pi\)
−0.312705 + 0.949850i \(0.601235\pi\)
\(314\) −9.09853 11.8533i −0.513460 0.668919i
\(315\) −9.37524 + 17.8625i −0.528235 + 1.00644i
\(316\) −0.255500 4.84387i −0.0143730 0.272489i
\(317\) 5.85309 18.0140i 0.328742 1.01177i −0.640980 0.767557i \(-0.721472\pi\)
0.969723 0.244208i \(-0.0785279\pi\)
\(318\) −22.2705 6.69009i −1.24887 0.375161i
\(319\) −20.2894 6.59243i −1.13599 0.369105i
\(320\) −5.57976 + 16.9961i −0.311918 + 0.950109i
\(321\) 4.32770 + 13.5035i 0.241549 + 0.753692i
\(322\) 0.129695 + 4.92104i 0.00722761 + 0.274239i
\(323\) −1.21670 + 1.67464i −0.0676990 + 0.0931796i
\(324\) −14.9401 10.0396i −0.830006 0.557754i
\(325\) −8.50968 0.0692112i −0.472032 0.00383915i
\(326\) −5.77666 + 19.5138i −0.319939 + 1.08077i
\(327\) −5.94952 + 8.12007i −0.329009 + 0.449041i
\(328\) −15.3703 + 25.1106i −0.848682 + 1.38650i
\(329\) 32.9677 10.7119i 1.81757 0.590564i
\(330\) −18.6674 + 19.3622i −1.02760 + 1.06585i
\(331\) 13.6393 + 4.43167i 0.749683 + 0.243587i 0.658845 0.752279i \(-0.271045\pi\)
0.0908381 + 0.995866i \(0.471045\pi\)
\(332\) 0.667971 1.02935i 0.0366597 0.0564928i
\(333\) 9.98997 + 3.33485i 0.547447 + 0.182748i
\(334\) −14.4614 + 5.12380i −0.791291 + 0.280362i
\(335\) −0.204433 1.32561i −0.0111694 0.0724257i
\(336\) 20.3651 + 4.39983i 1.11101 + 0.240030i
\(337\) −12.8844 17.7338i −0.701857 0.966023i −0.999934 0.0114815i \(-0.996345\pi\)
0.298077 0.954542i \(-0.403655\pi\)
\(338\) 4.77175 + 13.4678i 0.259549 + 0.732550i
\(339\) 12.8155 17.4909i 0.696041 0.949976i
\(340\) −23.1208 2.51728i −1.25390 0.136519i
\(341\) 15.3812 + 21.1704i 0.832937 + 1.14644i
\(342\) 0.967402 1.38415i 0.0523111 0.0748461i
\(343\) 14.9051 0.804798
\(344\) −11.8845 28.6506i −0.640769 1.54474i
\(345\) 0.665490 + 4.43331i 0.0358288 + 0.238681i
\(346\) −36.2270 + 0.954770i −1.94758 + 0.0513287i
\(347\) 0.270348 0.0878413i 0.0145130 0.00471557i −0.301751 0.953387i \(-0.597571\pi\)
0.316265 + 0.948671i \(0.397571\pi\)
\(348\) 5.34174 + 14.0701i 0.286348 + 0.754236i
\(349\) 9.93726 0.531930 0.265965 0.963983i \(-0.414310\pi\)
0.265965 + 0.963983i \(0.414310\pi\)
\(350\) −0.387335 21.2611i −0.0207039 1.13645i
\(351\) −8.84317 0.106501i −0.472013 0.00568462i
\(352\) 24.4225 + 13.2336i 1.30173 + 0.705355i
\(353\) −0.0254850 0.0784348i −0.00135643 0.00417466i 0.950376 0.311104i \(-0.100699\pi\)
−0.951732 + 0.306929i \(0.900699\pi\)
\(354\) 0.0204891 + 0.917208i 0.00108898 + 0.0487491i
\(355\) −14.4350 14.5528i −0.766128 0.772385i
\(356\) 5.05635 + 6.23975i 0.267986 + 0.330706i
\(357\) −0.108738 + 27.0879i −0.00575505 + 1.43364i
\(358\) 6.90564 + 4.74440i 0.364975 + 0.250749i
\(359\) 19.1281 13.8973i 1.00954 0.733474i 0.0454277 0.998968i \(-0.485535\pi\)
0.964113 + 0.265494i \(0.0855349\pi\)
\(360\) 18.8967 + 1.70773i 0.995941 + 0.0900055i
\(361\) −15.2432 11.0748i −0.802271 0.582884i
\(362\) 3.28863 + 9.28182i 0.172847 + 0.487842i
\(363\) 13.2753 + 18.4270i 0.696772 + 0.967165i
\(364\) 9.55553 3.67173i 0.500846 0.192451i
\(365\) −3.91812 + 24.1033i −0.205084 + 1.26162i
\(366\) 18.5549 6.49046i 0.969882 0.339262i
\(367\) −1.36280 + 4.19427i −0.0711377 + 0.218939i −0.980304 0.197493i \(-0.936720\pi\)
0.909167 + 0.416433i \(0.136720\pi\)
\(368\) 4.22844 1.88605i 0.220423 0.0983172i
\(369\) 29.6204 + 9.88786i 1.54198 + 0.514741i
\(370\) −10.9235 + 1.98055i −0.567886 + 0.102964i
\(371\) −8.82207 27.1515i −0.458019 1.40964i
\(372\) 4.84344 17.8138i 0.251121 0.923601i
\(373\) 16.9613 23.3452i 0.878220 1.20877i −0.0986904 0.995118i \(-0.531465\pi\)
0.976911 0.213648i \(-0.0685347\pi\)
\(374\) −10.2512 + 34.6289i −0.530075 + 1.79062i
\(375\) −2.71884 19.1731i −0.140400 0.990095i
\(376\) −21.1865 24.7807i −1.09261 1.27797i
\(377\) 5.98219 + 4.34632i 0.308099 + 0.223847i
\(378\) −0.316142 22.0965i −0.0162606 1.13652i
\(379\) −18.1541 + 5.89862i −0.932512 + 0.302992i −0.735590 0.677427i \(-0.763095\pi\)
−0.196923 + 0.980419i \(0.563095\pi\)
\(380\) −0.192665 + 1.76960i −0.00988351 + 0.0907783i
\(381\) −13.2528 4.36500i −0.678963 0.223626i
\(382\) 8.54258 28.8572i 0.437076 1.47646i
\(383\) −7.10706 2.30922i −0.363154 0.117996i 0.121756 0.992560i \(-0.461148\pi\)
−0.484910 + 0.874564i \(0.661148\pi\)
\(384\) −3.51652 19.2778i −0.179452 0.983767i
\(385\) −32.5920 5.29802i −1.66104 0.270012i
\(386\) 10.2339 + 13.3324i 0.520892 + 0.678602i
\(387\) −26.7704 + 19.1234i −1.36082 + 0.972095i
\(388\) 0.377898 + 7.16436i 0.0191849 + 0.363715i
\(389\) 0.230063 0.316654i 0.0116647 0.0160550i −0.803145 0.595784i \(-0.796842\pi\)
0.814809 + 0.579729i \(0.196842\pi\)
\(390\) 8.22744 4.38321i 0.416613 0.221953i
\(391\) 3.53823 + 4.86996i 0.178936 + 0.246284i
\(392\) 2.21474 + 5.33919i 0.111861 + 0.269670i
\(393\) 0.0277112 6.90316i 0.00139784 0.348218i
\(394\) 14.6762 + 10.0830i 0.739377 + 0.507976i
\(395\) 3.85030 3.81911i 0.193730 0.192160i
\(396\) 7.84408 28.3991i 0.394180 1.42711i
\(397\) 35.6241 11.5750i 1.78792 0.580932i 0.788506 0.615027i \(-0.210855\pi\)
0.999419 + 0.0340956i \(0.0108551\pi\)
\(398\) 4.87171 + 6.34671i 0.244197 + 0.318132i
\(399\) 2.07323 + 0.00832250i 0.103791 + 0.000416646i
\(400\) −18.3311 + 7.99827i −0.916553 + 0.399914i
\(401\) 29.1823i 1.45729i −0.684890 0.728647i \(-0.740150\pi\)
0.684890 0.728647i \(-0.259850\pi\)
\(402\) 0.889963 + 1.16910i 0.0443873 + 0.0583095i
\(403\) −2.80280 8.62613i −0.139617 0.429698i
\(404\) 20.5544 + 5.50008i 1.02262 + 0.273639i
\(405\) −2.74758 19.9362i −0.136528 0.990636i
\(406\) −10.4629 + 15.2292i −0.519266 + 0.755811i
\(407\) 17.2387i 0.854488i
\(408\) 23.5719 9.66711i 1.16699 0.478593i
\(409\) −20.6984 + 15.0382i −1.02347 + 0.743593i −0.966991 0.254810i \(-0.917987\pi\)
−0.0564775 + 0.998404i \(0.517987\pi\)
\(410\) −32.3883 + 5.87234i −1.59954 + 0.290014i
\(411\) −6.89652 + 9.41256i −0.340180 + 0.464287i
\(412\) −7.82518 + 0.412755i −0.385519 + 0.0203350i
\(413\) −0.911235 + 0.662051i −0.0448389 + 0.0325774i
\(414\) −2.95883 3.91942i −0.145418 0.192629i
\(415\) 1.35590 0.209104i 0.0665583 0.0102645i
\(416\) −6.63333 6.97824i −0.325226 0.342136i
\(417\) −6.31178 + 19.1636i −0.309089 + 0.938444i
\(418\) 2.65039 + 0.784593i 0.129635 + 0.0383757i
\(419\) 7.39741 22.7669i 0.361387 1.11223i −0.590826 0.806799i \(-0.701198\pi\)
0.952213 0.305435i \(-0.0988020\pi\)
\(420\) 11.4906 + 20.2629i 0.560681 + 0.988729i
\(421\) −1.91960 5.90793i −0.0935557 0.287935i 0.893319 0.449423i \(-0.148371\pi\)
−0.986875 + 0.161489i \(0.948371\pi\)
\(422\) −0.478962 18.1734i −0.0233155 0.884665i
\(423\) −20.5499 + 27.8122i −0.999170 + 1.35227i
\(424\) −20.4088 + 17.4487i −0.991141 + 0.847385i
\(425\) −15.1123 21.1601i −0.733056 1.02642i
\(426\) 21.5047 + 6.46003i 1.04191 + 0.312989i
\(427\) 19.5245 + 14.1854i 0.944855 + 0.686477i
\(428\) 15.8172 + 4.23247i 0.764554 + 0.204584i
\(429\) −4.41790 13.7849i −0.213298 0.665543i
\(430\) 15.0515 31.2422i 0.725848 1.50663i
\(431\) 5.29439 16.2945i 0.255022 0.784876i −0.738804 0.673921i \(-0.764609\pi\)
0.993825 0.110955i \(-0.0353911\pi\)
\(432\) −19.0825 + 8.23750i −0.918109 + 0.396327i
\(433\) −35.1128 11.4089i −1.68742 0.548274i −0.701088 0.713074i \(-0.747302\pi\)
−0.986327 + 0.164800i \(0.947302\pi\)
\(434\) 21.3629 7.56906i 1.02545 0.363326i
\(435\) −7.75992 + 14.9302i −0.372060 + 0.715848i
\(436\) 4.16922 + 10.8502i 0.199670 + 0.519631i
\(437\) 0.372732 0.270805i 0.0178302 0.0129544i
\(438\) −8.83244 25.2502i −0.422030 1.20650i
\(439\) −7.31138 + 10.0632i −0.348953 + 0.480293i −0.947030 0.321146i \(-0.895932\pi\)
0.598077 + 0.801439i \(0.295932\pi\)
\(440\) 7.14240 + 30.2237i 0.340500 + 1.44086i
\(441\) 4.98881 3.56374i 0.237562 0.169702i
\(442\) 7.08827 10.3172i 0.337155 0.490741i
\(443\) 17.8513i 0.848143i 0.905629 + 0.424071i \(0.139399\pi\)
−0.905629 + 0.424071i \(0.860601\pi\)
\(444\) 9.47908 7.61849i 0.449857 0.361557i
\(445\) −1.44071 + 8.86289i −0.0682964 + 0.420141i
\(446\) 4.88497 0.128744i 0.231310 0.00609622i
\(447\) −4.25142 13.2655i −0.201085 0.627435i
\(448\) 16.9944 17.0289i 0.802910 0.804541i
\(449\) 26.5322i 1.25213i 0.779770 + 0.626066i \(0.215336\pi\)
−0.779770 + 0.626066i \(0.784664\pi\)
\(450\) 12.6430 + 17.0339i 0.595996 + 0.802987i
\(451\) 51.1128i 2.40681i
\(452\) −8.98065 23.3718i −0.422414 1.09932i
\(453\) −2.95157 9.20964i −0.138677 0.432707i
\(454\) 0.0222525 + 0.844330i 0.00104436 + 0.0396264i
\(455\) 10.1763 + 5.23733i 0.477073 + 0.245530i
\(456\) −0.739891 1.80412i −0.0346486 0.0844859i
\(457\) 33.2379i 1.55480i 0.629005 + 0.777401i \(0.283463\pi\)
−0.629005 + 0.777401i \(0.716537\pi\)
\(458\) −11.5044 7.90392i −0.537567 0.369326i
\(459\) −15.6191 22.0515i −0.729038 1.02928i
\(460\) 4.72108 + 2.12309i 0.220122 + 0.0989894i
\(461\) 12.4042 17.0729i 0.577719 0.795162i −0.415724 0.909491i \(-0.636472\pi\)
0.993443 + 0.114329i \(0.0364717\pi\)
\(462\) 34.1429 11.9431i 1.58847 0.555642i
\(463\) −10.6594 + 7.74450i −0.495384 + 0.359918i −0.807251 0.590208i \(-0.799046\pi\)
0.311867 + 0.950126i \(0.399046\pi\)
\(464\) 17.0009 + 3.60163i 0.789247 + 0.167202i
\(465\) 18.4650 9.22120i 0.856294 0.427623i
\(466\) −6.79862 19.1884i −0.314940 0.888885i
\(467\) 0.805747 + 0.261803i 0.0372855 + 0.0121148i 0.327600 0.944816i \(-0.393760\pi\)
−0.290315 + 0.956931i \(0.593760\pi\)
\(468\) −5.62752 + 8.52144i −0.260132 + 0.393904i
\(469\) −0.557427 + 1.71558i −0.0257396 + 0.0792183i
\(470\) 4.89864 36.1205i 0.225957 1.66611i
\(471\) 5.58539 + 17.4278i 0.257361 + 0.803031i
\(472\) 0.903538 + 0.553058i 0.0415887 + 0.0254566i
\(473\) −43.5652 31.6520i −2.00313 1.45536i
\(474\) −1.70915 + 5.68958i −0.0785041 + 0.261331i
\(475\) −1.61953 + 1.15665i −0.0743093 + 0.0530709i
\(476\) 26.2383 + 17.0267i 1.20263 + 0.780418i
\(477\) 22.9055 + 16.9245i 1.04877 + 0.774918i
\(478\) 25.8764 0.681978i 1.18356 0.0311930i
\(479\) 6.52146 + 20.0710i 0.297973 + 0.917068i 0.982206 + 0.187804i \(0.0601371\pi\)
−0.684233 + 0.729263i \(0.739863\pi\)
\(480\) 13.4627 17.2846i 0.614485 0.788928i
\(481\) 1.84640 5.68263i 0.0841885 0.259105i
\(482\) −3.09366 + 10.4505i −0.140912 + 0.476008i
\(483\) 1.88610 5.72650i 0.0858206 0.260565i
\(484\) 26.1879 1.38133i 1.19036 0.0627879i
\(485\) −5.69481 + 5.64868i −0.258588 + 0.256494i
\(486\) 13.0697 + 17.7534i 0.592852 + 0.805311i
\(487\) −7.83412 + 5.69182i −0.354998 + 0.257921i −0.750963 0.660345i \(-0.770410\pi\)
0.395965 + 0.918266i \(0.370410\pi\)
\(488\) 5.28763 22.0739i 0.239360 0.999238i
\(489\) 14.7311 20.1055i 0.666165 0.909200i
\(490\) −2.80493 + 5.82214i −0.126714 + 0.263018i
\(491\) −13.8232 + 10.0432i −0.623833 + 0.453241i −0.854258 0.519849i \(-0.825988\pi\)
0.230425 + 0.973090i \(0.425988\pi\)
\(492\) 28.1056 22.5889i 1.26710 1.01839i
\(493\) 22.5939i 1.01758i
\(494\) −0.789650 0.542515i −0.0355280 0.0244089i
\(495\) 29.5285 14.5984i 1.32721 0.656149i
\(496\) −14.2741 15.8315i −0.640927 0.710854i
\(497\) 8.51870 + 26.2179i 0.382116 + 1.17603i
\(498\) −1.19582 + 0.910297i −0.0535858 + 0.0407914i
\(499\) 24.6712i 1.10443i −0.833701 0.552217i \(-0.813782\pi\)
0.833701 0.552217i \(-0.186218\pi\)
\(500\) −20.3182 9.33656i −0.908657 0.417544i
\(501\) 18.7902 + 0.0754290i 0.839484 + 0.00336992i
\(502\) −31.7691 + 24.3858i −1.41792 + 1.08839i
\(503\) 12.9329 4.20217i 0.576652 0.187365i −0.00614836 0.999981i \(-0.501957\pi\)
0.582800 + 0.812616i \(0.301957\pi\)
\(504\) −21.6564 13.4961i −0.964651 0.601165i
\(505\) 10.7137 + 21.2399i 0.476754 + 0.945164i
\(506\) 4.55171 6.62519i 0.202348 0.294525i
\(507\) 0.0702464 17.4992i 0.00311975 0.777165i
\(508\) −12.5177 + 10.1437i −0.555384 + 0.450052i
\(509\) −1.63205 2.24632i −0.0723392 0.0995663i 0.771314 0.636455i \(-0.219600\pi\)
−0.843653 + 0.536888i \(0.819600\pi\)
\(510\) 25.6118 + 12.4659i 1.13411 + 0.551998i
\(511\) 19.3039 26.5695i 0.853954 1.17537i
\(512\) −20.9182 8.62731i −0.924461 0.381277i
\(513\) −1.68776 + 1.19544i −0.0745162 + 0.0527799i
\(514\) 3.80798 2.92299i 0.167963 0.128927i
\(515\) −6.16970 6.22009i −0.271870 0.274090i
\(516\) 1.84871 + 37.9437i 0.0813849 + 1.67038i
\(517\) −53.8314 17.4909i −2.36750 0.769248i
\(518\) 14.3163 + 4.23805i 0.629022 + 0.186209i
\(519\) 42.1566 + 13.8848i 1.85047 + 0.609477i
\(520\) 0.882749 10.7281i 0.0387111 0.470458i
\(521\) −15.5872 + 5.06459i −0.682888 + 0.221884i −0.629859 0.776709i \(-0.716887\pi\)
−0.0530285 + 0.998593i \(0.516887\pi\)
\(522\) −0.337673 18.4293i −0.0147795 0.806628i
\(523\) −32.1619 23.3670i −1.40634 1.02177i −0.993842 0.110808i \(-0.964656\pi\)
−0.412498 0.910958i \(-0.635344\pi\)
\(524\) −6.68663 4.33914i −0.292107 0.189556i
\(525\) −8.34822 + 24.6694i −0.364346 + 1.07666i
\(526\) −16.2239 4.80275i −0.707395 0.209410i
\(527\) 16.2899 22.4211i 0.709598 0.976678i
\(528\) −22.6795 25.3579i −0.987000 1.10356i
\(529\) 6.69337 + 20.6001i 0.291016 + 0.895655i
\(530\) −29.7481 4.03442i −1.29217 0.175244i
\(531\) 0.355788 1.06581i 0.0154399 0.0462522i
\(532\) 1.30317 2.00820i 0.0564997 0.0870664i
\(533\) 5.47459 16.8491i 0.237131 0.729813i
\(534\) −3.24773 9.28461i −0.140543 0.401785i
\(535\) 8.24451 + 16.3447i 0.356441 + 0.706645i
\(536\) 1.69130 0.133972i 0.0730530 0.00578670i
\(537\) −5.99811 8.32577i −0.258838 0.359284i
\(538\) 29.7914 10.5554i 1.28440 0.455075i
\(539\) 8.11861 + 5.89852i 0.349693 + 0.254067i
\(540\) −21.0772 9.78532i −0.907017 0.421093i
\(541\) −30.3629 + 22.0600i −1.30540 + 0.948432i −0.999993 0.00378834i \(-0.998794\pi\)
−0.305412 + 0.952220i \(0.598794\pi\)
\(542\) −2.93442 + 4.27115i −0.126044 + 0.183462i
\(543\) 0.0484130 12.0602i 0.00207760 0.517553i
\(544\) 5.33665 28.9305i 0.228807 1.24038i
\(545\) −5.94695 + 11.5551i −0.254739 + 0.494967i
\(546\) −12.5342 + 0.279996i −0.536414 + 0.0119827i
\(547\) −3.40666 10.4846i −0.145658 0.448291i 0.851437 0.524458i \(-0.175732\pi\)
−0.997095 + 0.0761668i \(0.975732\pi\)
\(548\) 4.83285 + 12.5773i 0.206449 + 0.537275i
\(549\) −24.0745 0.193286i −1.02747 0.00824926i
\(550\) −19.8939 + 28.4577i −0.848281 + 1.21344i
\(551\) 1.72927 0.0736694
\(552\) −5.65461 + 0.425080i −0.240676 + 0.0180926i
\(553\) −6.93656 + 2.25382i −0.294972 + 0.0958424i
\(554\) 0.957213 + 36.3197i 0.0406681 + 1.54308i
\(555\) 13.4116 + 2.23543i 0.569290 + 0.0948886i
\(556\) 14.6677 + 18.1006i 0.622050 + 0.767637i
\(557\) 13.5504 0.574151 0.287075 0.957908i \(-0.407317\pi\)
0.287075 + 0.957908i \(0.407317\pi\)
\(558\) −12.9521 + 18.5318i −0.548308 + 0.784512i
\(559\) 10.9709 + 15.1001i 0.464018 + 0.638666i
\(560\) 26.8560 + 1.49877i 1.13487 + 0.0633347i
\(561\) 26.1417 35.6789i 1.10370 1.50636i
\(562\) −7.85558 + 2.78330i −0.331368 + 0.117407i
\(563\) −17.9779 24.7444i −0.757676 1.04285i −0.997404 0.0720118i \(-0.977058\pi\)
0.239727 0.970840i \(-0.422942\pi\)
\(564\) 14.1726 + 37.3304i 0.596773 + 1.57189i
\(565\) 12.8099 24.8902i 0.538918 1.04714i
\(566\) 12.7575 + 36.0066i 0.536236 + 1.51347i
\(567\) −8.77589 + 25.6031i −0.368553 + 1.07523i
\(568\) 19.7070 16.8487i 0.826889 0.706956i
\(569\) 12.2734 + 3.98786i 0.514527 + 0.167180i 0.554760 0.832010i \(-0.312810\pi\)
−0.0402330 + 0.999190i \(0.512810\pi\)
\(570\) 0.954100 1.96025i 0.0399629 0.0821058i
\(571\) 28.2274 9.17165i 1.18128 0.383822i 0.348439 0.937332i \(-0.386712\pi\)
0.832843 + 0.553510i \(0.186712\pi\)
\(572\) −16.1469 4.32069i −0.675135 0.180657i
\(573\) −21.7846 + 29.7322i −0.910064 + 1.24208i
\(574\) 42.4480 + 12.5659i 1.77175 + 0.524489i
\(575\) 1.74361 + 5.51860i 0.0727136 + 0.230142i
\(576\) −3.92059 + 23.6776i −0.163358 + 0.986567i
\(577\) −6.13811 + 8.44839i −0.255533 + 0.351711i −0.917439 0.397876i \(-0.869748\pi\)
0.661906 + 0.749586i \(0.269748\pi\)
\(578\) 14.2014 0.374281i 0.590701 0.0155680i
\(579\) −6.28238 19.6026i −0.261087 0.814655i
\(580\) 9.65192 + 16.8625i 0.400774 + 0.700177i
\(581\) −1.75478 0.570164i −0.0728007 0.0236544i
\(582\) 2.52794 8.41521i 0.104786 0.348822i
\(583\) −14.4051 + 44.3344i −0.596599 + 1.83614i
\(584\) −30.0389 7.19558i −1.24302 0.297755i
\(585\) −11.2975 + 1.64954i −0.467095 + 0.0682001i
\(586\) 21.4171 16.4397i 0.884732 0.679117i
\(587\) 21.2796 + 29.2889i 0.878304 + 1.20888i 0.976888 + 0.213754i \(0.0685689\pi\)
−0.0985832 + 0.995129i \(0.531431\pi\)
\(588\) −0.344517 7.07102i −0.0142076 0.291604i
\(589\) −1.71604 1.24678i −0.0707083 0.0513726i
\(590\) 0.211301 + 1.16541i 0.00869910 + 0.0479790i
\(591\) −12.7475 17.6943i −0.524362 0.727848i
\(592\) −1.47729 13.9646i −0.0607163 0.573942i
\(593\) 1.00854 0.0414158 0.0207079 0.999786i \(-0.493408\pi\)
0.0207079 + 0.999786i \(0.493408\pi\)
\(594\) −20.7899 + 29.4930i −0.853018 + 1.21011i
\(595\) 5.33011 + 34.5620i 0.218513 + 1.41691i
\(596\) −15.5384 4.15787i −0.636478 0.170313i
\(597\) −2.99064 9.33153i −0.122399 0.381914i
\(598\) −2.21006 + 1.69643i −0.0903760 + 0.0693722i
\(599\) −15.0708 −0.615778 −0.307889 0.951422i \(-0.599622\pi\)
−0.307889 + 0.951422i \(0.599622\pi\)
\(600\) 24.4401 1.63748i 0.997763 0.0668500i
\(601\) −31.2130 −1.27321 −0.636603 0.771191i \(-0.719661\pi\)
−0.636603 + 0.771191i \(0.719661\pi\)
\(602\) −36.9966 + 28.3984i −1.50787 + 1.15743i
\(603\) −0.542322 1.71585i −0.0220851 0.0698748i
\(604\) −10.7876 2.88663i −0.438943 0.117455i
\(605\) 20.6477 + 20.8163i 0.839447 + 0.846302i
\(606\) −21.4195 14.8428i −0.870106 0.602946i
\(607\) 19.4194 0.788208 0.394104 0.919066i \(-0.371055\pi\)
0.394104 + 0.919066i \(0.371055\pi\)
\(608\) −2.21425 0.408451i −0.0897997 0.0165649i
\(609\) 18.3610 13.2278i 0.744026 0.536016i
\(610\) 22.3492 12.0221i 0.904894 0.486761i
\(611\) 15.8718 + 11.5315i 0.642104 + 0.466516i
\(612\) −31.1720 + 1.39337i −1.26005 + 0.0563236i
\(613\) 5.20312 + 7.16149i 0.210152 + 0.289250i 0.901061 0.433692i \(-0.142789\pi\)
−0.690909 + 0.722942i \(0.742789\pi\)
\(614\) −28.7404 + 22.0610i −1.15987 + 0.890309i
\(615\) 39.7655 + 6.62807i 1.60350 + 0.267270i
\(616\) 9.72974 40.6181i 0.392022 1.63655i
\(617\) −10.4713 + 32.2272i −0.421557 + 1.29742i 0.484695 + 0.874683i \(0.338930\pi\)
−0.906253 + 0.422737i \(0.861070\pi\)
\(618\) 9.19141 + 2.76111i 0.369733 + 0.111068i
\(619\) −32.6143 10.5970i −1.31088 0.425931i −0.431527 0.902100i \(-0.642025\pi\)
−0.879354 + 0.476169i \(0.842025\pi\)
\(620\) 2.57951 23.6924i 0.103596 0.951509i
\(621\) 1.78958 + 5.74214i 0.0718132 + 0.230424i
\(622\) −14.3107 + 0.377160i −0.573805 + 0.0151227i
\(623\) 7.09814 9.76975i 0.284381 0.391417i
\(624\) 4.76015 + 10.7882i 0.190559 + 0.431875i
\(625\) −7.33767 23.8989i −0.293507 0.955957i
\(626\) −28.0521 8.30425i −1.12119 0.331905i
\(627\) −2.73075 2.00080i −0.109056 0.0799044i
\(628\) 20.4139 + 5.46249i 0.814604 + 0.217977i
\(629\) 17.3635 5.64176i 0.692330 0.224952i
\(630\) −4.86417 28.1117i −0.193793 1.12000i
\(631\) −17.5658 5.70746i −0.699282 0.227211i −0.0622644 0.998060i \(-0.519832\pi\)
−0.637018 + 0.770849i \(0.719832\pi\)
\(632\) 4.45772 + 5.21396i 0.177319 + 0.207400i
\(633\) −6.96535 + 21.1479i −0.276848 + 0.840554i
\(634\) 8.94583 + 25.2487i 0.355284 + 1.00275i
\(635\) −17.7801 2.89025i −0.705580 0.114696i
\(636\) 30.7445 11.6722i 1.21910 0.462834i
\(637\) −2.04448 2.81398i −0.0810051 0.111494i
\(638\) 28.4380 10.0758i 1.12587 0.398906i
\(639\) −22.1179 16.3425i −0.874969 0.646498i
\(640\) −8.37594 23.8714i −0.331088 0.943600i
\(641\) −18.1246 24.9464i −0.715879 0.985323i −0.999651 0.0264310i \(-0.991586\pi\)
0.283772 0.958892i \(-0.408414\pi\)
\(642\) −16.4829 11.4219i −0.650528 0.450788i
\(643\) 5.59711 0.220728 0.110364 0.993891i \(-0.464798\pi\)
0.110364 + 0.993891i \(0.464798\pi\)
\(644\) −4.38304 5.40887i −0.172716 0.213139i
\(645\) −30.2744 + 29.7891i −1.19206 + 1.17294i
\(646\) −0.0771249 2.92637i −0.00303444 0.115136i
\(647\) 4.41127 1.43331i 0.173425 0.0563492i −0.221017 0.975270i \(-0.570938\pi\)
0.394442 + 0.918921i \(0.370938\pi\)
\(648\) 25.4054 1.60241i 0.998017 0.0629486i
\(649\) 1.83916 0.0721932
\(650\) 9.60597 7.25011i 0.376777 0.284373i
\(651\) −27.7576 0.111427i −1.08790 0.00436715i
\(652\) −10.3231 26.8654i −0.404283 1.05213i
\(653\) 1.39770 + 4.30168i 0.0546962 + 0.168338i 0.974673 0.223636i \(-0.0717926\pi\)
−0.919977 + 0.391973i \(0.871793\pi\)
\(654\) −0.317933 14.2325i −0.0124322 0.556534i
\(655\) −1.35834 8.80789i −0.0530747 0.344153i
\(656\) −4.38019 41.4052i −0.171018 1.61660i
\(657\) −0.263030 + 32.7613i −0.0102618 + 1.27814i
\(658\) −27.7600 + 40.4056i −1.08220 + 1.57518i
\(659\) −25.9972 + 18.8881i −1.01271 + 0.735775i −0.964775 0.263076i \(-0.915263\pi\)
−0.0479319 + 0.998851i \(0.515263\pi\)
\(660\) 4.26859 37.7956i 0.166155 1.47119i
\(661\) 0.111125 + 0.0807368i 0.00432225 + 0.00314030i 0.589944 0.807444i \(-0.299150\pi\)
−0.585622 + 0.810584i \(0.699150\pi\)
\(662\) −19.1170 + 6.77334i −0.743005 + 0.263253i
\(663\) −12.4390 + 8.96136i −0.483089 + 0.348030i
\(664\) 0.137033 + 1.72994i 0.00531791 + 0.0671349i
\(665\) 2.64527 0.407950i 0.102579 0.0158196i
\(666\) −14.0787 + 4.86134i −0.545537 + 0.188373i
\(667\) 1.55399 4.78269i 0.0601708 0.185187i
\(668\) 11.8110 18.2008i 0.456981 0.704211i
\(669\) −5.68453 1.87228i −0.219777 0.0723864i
\(670\) 1.37083 + 1.31106i 0.0529598 + 0.0506507i
\(671\) −12.1773 37.4778i −0.470098 1.44681i
\(672\) −26.6348 + 12.6007i −1.02746 + 0.486083i
\(673\) 10.6134 14.6081i 0.409116 0.563099i −0.553887 0.832592i \(-0.686856\pi\)
0.963002 + 0.269493i \(0.0868560\pi\)
\(674\) 29.7248 + 8.79941i 1.14496 + 0.338941i
\(675\) −7.52837 24.8661i −0.289767 0.957097i
\(676\) −16.9503 10.9995i −0.651934 0.423057i
\(677\) −2.10285 1.52781i −0.0808192 0.0587186i 0.546642 0.837366i \(-0.315906\pi\)
−0.627461 + 0.778648i \(0.715906\pi\)
\(678\) 0.684838 + 30.6573i 0.0263011 + 1.17739i
\(679\) 10.2596 3.33353i 0.393726 0.127929i
\(680\) 28.1051 17.0856i 1.07778 0.655201i
\(681\) 0.323609 0.982527i 0.0124007 0.0376505i
\(682\) −35.4849 10.5046i −1.35879 0.402242i
\(683\) 2.85334 + 0.927107i 0.109180 + 0.0354748i 0.363098 0.931751i \(-0.381719\pi\)
−0.253917 + 0.967226i \(0.581719\pi\)
\(684\) 0.106644 + 2.38581i 0.00407764 + 0.0912237i
\(685\) −6.89353 + 13.3944i −0.263388 + 0.511773i
\(686\) −16.7209 + 12.8349i −0.638406 + 0.490038i
\(687\) 9.99254 + 13.8703i 0.381239 + 0.529185i
\(688\) 38.0036 + 21.9071i 1.44887 + 0.835201i
\(689\) 9.49713 13.0717i 0.361812 0.497991i
\(690\) −4.56412 4.40034i −0.173753 0.167518i
\(691\) 15.2850 + 21.0380i 0.581468 + 0.800322i 0.993855 0.110687i \(-0.0353051\pi\)
−0.412388 + 0.911008i \(0.635305\pi\)
\(692\) 39.8182 32.2665i 1.51366 1.22659i
\(693\) −44.2993 0.355665i −1.68279 0.0135106i
\(694\) −0.227642 + 0.331341i −0.00864118 + 0.0125776i
\(695\) −4.17930 + 25.7099i −0.158530 + 0.975234i
\(696\) −18.1084 11.1844i −0.686396 0.423942i
\(697\) 51.4831 16.7279i 1.95006 0.633613i
\(698\) −11.1479 + 8.55706i −0.421953 + 0.323890i
\(699\) −0.100085 + 24.9322i −0.00378555 + 0.943022i
\(700\) 18.7426 + 23.5177i 0.708403 + 0.888884i
\(701\) 28.1849i 1.06453i −0.846578 0.532265i \(-0.821341\pi\)
0.846578 0.532265i \(-0.178659\pi\)
\(702\) 10.0122 7.49545i 0.377886 0.282898i
\(703\) −0.431803 1.32895i −0.0162858 0.0501224i
\(704\) −38.7934 + 6.18463i −1.46208 + 0.233092i
\(705\) −20.5884 + 39.6124i −0.775405 + 1.49189i
\(706\) 0.0961305 + 0.0660448i 0.00361792 + 0.00248563i
\(707\) 31.9936i 1.20324i
\(708\) −0.812801 1.01130i −0.0305469 0.0380071i
\(709\) 29.0197 21.0841i 1.08986 0.791829i 0.110484 0.993878i \(-0.464760\pi\)
0.979376 + 0.202049i \(0.0647599\pi\)
\(710\) 28.7251 + 3.89568i 1.07803 + 0.146202i
\(711\) 4.32379 5.85181i 0.162155 0.219460i
\(712\) −11.0454 2.64585i −0.413946 0.0991574i
\(713\) −4.99035 + 3.62570i −0.186890 + 0.135784i
\(714\) −23.2036 30.4816i −0.868375 1.14074i
\(715\) −8.41635 16.6854i −0.314754 0.623999i
\(716\) −11.8324 + 0.624122i −0.442196 + 0.0233245i
\(717\) −30.1118 9.91774i −1.12455 0.370385i
\(718\) −9.49122 + 32.0617i −0.354209 + 1.19653i
\(719\) 2.63761 8.11773i 0.0983662 0.302740i −0.889750 0.456448i \(-0.849121\pi\)
0.988116 + 0.153708i \(0.0491215\pi\)
\(720\) −22.6693 + 14.3563i −0.844835 + 0.535027i
\(721\) 3.64101 + 11.2059i 0.135598 + 0.417329i
\(722\) 26.6368 0.702016i 0.991317 0.0261263i
\(723\) 7.88920 10.7674i 0.293403 0.400444i
\(724\) −11.6819 7.58072i −0.434155 0.281735i
\(725\) −6.88051 + 20.6043i −0.255536 + 0.765225i
\(726\) −30.7602 9.24038i −1.14162 0.342943i
\(727\) −33.0273 23.9957i −1.22491 0.889953i −0.228416 0.973564i \(-0.573355\pi\)
−0.996498 + 0.0836109i \(0.973355\pi\)
\(728\) −7.55787 + 12.3474i −0.280113 + 0.457625i
\(729\) −7.72262 25.8720i −0.286023 0.958223i
\(730\) −16.3601 30.4136i −0.605514 1.12566i
\(731\) −17.6235 + 54.2397i −0.651831 + 2.00613i
\(732\) −15.2264 + 23.2590i −0.562784 + 0.859677i
\(733\) 4.90294 + 1.59306i 0.181094 + 0.0588411i 0.398160 0.917316i \(-0.369649\pi\)
−0.217066 + 0.976157i \(0.569649\pi\)
\(734\) −2.08290 5.87876i −0.0768812 0.216989i
\(735\) 5.64180 5.55135i 0.208101 0.204765i
\(736\) −3.11948 + 5.75696i −0.114985 + 0.212205i
\(737\) 2.38292 1.73129i 0.0877760 0.0637730i
\(738\) −41.7434 + 14.4139i −1.53660 + 0.530584i
\(739\) 4.70878 6.48108i 0.173215 0.238410i −0.713579 0.700575i \(-0.752927\pi\)
0.886794 + 0.462164i \(0.152927\pi\)
\(740\) 10.5488 11.6281i 0.387781 0.427459i
\(741\) 0.685875 + 0.952039i 0.0251962 + 0.0349740i
\(742\) 33.2772 + 22.8625i 1.22165 + 0.839310i
\(743\) 3.90420i 0.143231i 0.997432 + 0.0716156i \(0.0228155\pi\)
−0.997432 + 0.0716156i \(0.977185\pi\)
\(744\) 9.90610 + 24.1547i 0.363175 + 0.885553i
\(745\) −8.09919 16.0566i −0.296731 0.588269i
\(746\) 1.07515 + 40.7947i 0.0393641 + 1.49360i
\(747\) 1.75505 0.554714i 0.0642141 0.0202959i
\(748\) −18.3192 47.6749i −0.669816 1.74317i
\(749\) 24.6200i 0.899596i
\(750\) 19.5602 + 19.1677i 0.714237 + 0.699904i
\(751\) 49.8220i 1.81803i −0.416764 0.909015i \(-0.636836\pi\)
0.416764 0.909015i \(-0.363164\pi\)
\(752\) 45.1064 + 9.55576i 1.64486 + 0.348463i
\(753\) 46.7099 14.9699i 1.70220 0.545535i
\(754\) −10.4536 + 0.275507i −0.380699 + 0.0100334i
\(755\) −5.62291 11.1474i −0.204639 0.405696i
\(756\) 19.3822 + 24.5162i 0.704923 + 0.891647i
\(757\) 37.4895i 1.36258i 0.732013 + 0.681290i \(0.238581\pi\)
−0.732013 + 0.681290i \(0.761419\pi\)
\(758\) 15.2864 22.2499i 0.555226 0.808151i
\(759\) −7.98764 + 5.75451i −0.289933 + 0.208876i
\(760\) −1.30768 2.15108i −0.0474344 0.0780280i
\(761\) 1.51389 2.08368i 0.0548783 0.0755335i −0.780696 0.624911i \(-0.785135\pi\)
0.835574 + 0.549378i \(0.185135\pi\)
\(762\) 18.6261 6.51535i 0.674752 0.236026i
\(763\) 14.1398 10.2732i 0.511895 0.371913i
\(764\) 15.2659 + 39.7288i 0.552300 + 1.43734i
\(765\) −24.3681 24.9648i −0.881029 0.902603i
\(766\) 9.96138 3.52940i 0.359919 0.127523i
\(767\) −0.606268 0.196988i −0.0218911 0.00711284i
\(768\) 20.5452 + 18.5982i 0.741362 + 0.671106i
\(769\) −11.0275 + 33.9392i −0.397662 + 1.22388i 0.529207 + 0.848493i \(0.322490\pi\)
−0.926869 + 0.375385i \(0.877510\pi\)
\(770\) 41.1247 22.1218i 1.48203 0.797215i
\(771\) −5.59885 + 1.79436i −0.201637 + 0.0646223i
\(772\) −22.9613 6.14414i −0.826395 0.221132i
\(773\) 12.9150 + 9.38328i 0.464519 + 0.337493i 0.795302 0.606214i \(-0.207313\pi\)
−0.330782 + 0.943707i \(0.607313\pi\)
\(774\)