Properties

Label 43.2.g.a.15.1
Level $43$
Weight $2$
Character 43.15
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 15.1
Character \(\chi\) \(=\) 43.15
Dual form 43.2.g.a.23.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.72039 + 2.15730i) q^{2} +(-0.528255 + 1.34597i) q^{3} +(-1.24917 - 5.47296i) q^{4} +(0.0684907 + 0.913945i) q^{5} +(-1.99486 - 3.45520i) q^{6} +(-0.971539 + 1.68276i) q^{7} +(8.98382 + 4.32638i) q^{8} +(0.666571 + 0.618487i) q^{9} +O(q^{10})\) \(q+(-1.72039 + 2.15730i) q^{2} +(-0.528255 + 1.34597i) q^{3} +(-1.24917 - 5.47296i) q^{4} +(0.0684907 + 0.913945i) q^{5} +(-1.99486 - 3.45520i) q^{6} +(-0.971539 + 1.68276i) q^{7} +(8.98382 + 4.32638i) q^{8} +(0.666571 + 0.618487i) q^{9} +(-2.08949 - 1.42459i) q^{10} +(-0.100377 + 0.439781i) q^{11} +(8.02633 + 1.20977i) q^{12} +(2.90116 - 1.97798i) q^{13} +(-1.95879 - 4.99091i) q^{14} +(-1.26632 - 0.390609i) q^{15} +(-14.6735 + 7.06637i) q^{16} +(0.142476 - 1.90121i) q^{17} +(-2.48103 + 0.373955i) q^{18} +(2.97713 - 2.76237i) q^{19} +(4.91643 - 1.51652i) q^{20} +(-1.75172 - 2.19659i) q^{21} +(-0.776053 - 0.973140i) q^{22} +(-1.77211 + 0.546623i) q^{23} +(-10.5689 + 9.80653i) q^{24} +(4.11355 - 0.620018i) q^{25} +(-0.724035 + 9.66157i) q^{26} +(-5.09278 + 2.45255i) q^{27} +(10.4233 + 3.21515i) q^{28} +(-1.90792 - 4.86129i) q^{29} +(3.02124 - 2.05984i) q^{30} +(0.920034 + 0.138673i) q^{31} +(5.56217 - 24.3695i) q^{32} +(-0.538908 - 0.367421i) q^{33} +(3.85637 + 3.57819i) q^{34} +(-1.60449 - 0.772681i) q^{35} +(2.55230 - 4.42071i) q^{36} +(0.277212 + 0.480145i) q^{37} +(0.837445 + 11.1749i) q^{38} +(1.12975 + 4.94975i) q^{39} +(-3.33877 + 8.50704i) q^{40} +(0.111290 - 0.139553i) q^{41} +7.75235 q^{42} +(-6.30773 - 1.79236i) q^{43} +2.53229 q^{44} +(-0.519610 + 0.651570i) q^{45} +(1.86949 - 4.76338i) q^{46} +(1.72810 + 7.57131i) q^{47} +(-1.75980 - 23.4829i) q^{48} +(1.61222 + 2.79245i) q^{49} +(-5.73935 + 9.94085i) q^{50} +(2.48371 + 1.19609i) q^{51} +(-14.4494 - 13.4071i) q^{52} +(-8.52328 - 5.81107i) q^{53} +(3.47068 - 15.2060i) q^{54} +(-0.408811 - 0.0616183i) q^{55} +(-16.0084 + 10.9143i) q^{56} +(2.14539 + 5.46636i) q^{57} +(13.7696 + 4.24737i) q^{58} +(9.19536 - 4.42825i) q^{59} +(-0.555938 + 7.41848i) q^{60} +(-5.55516 + 0.837306i) q^{61} +(-1.88198 + 1.74622i) q^{62} +(-1.68836 + 0.520791i) q^{63} +(22.6945 + 28.4580i) q^{64} +(2.00646 + 2.51603i) q^{65} +(1.71977 - 0.530479i) q^{66} +(-0.807046 + 0.748830i) q^{67} +(-10.5832 + 1.59516i) q^{68} +(0.200386 - 2.67396i) q^{69} +(4.42726 - 2.13205i) q^{70} +(-5.41606 - 1.67063i) q^{71} +(3.31254 + 8.44022i) q^{72} +(11.7207 - 7.99101i) q^{73} +(-1.51273 - 0.228008i) q^{74} +(-1.33848 + 5.86425i) q^{75} +(-18.8373 - 12.8430i) q^{76} +(-0.642524 - 0.596175i) q^{77} +(-12.6217 - 6.07830i) q^{78} +(1.13115 - 1.95921i) q^{79} +(-7.46327 - 12.9268i) q^{80} +(-0.406922 - 5.43000i) q^{81} +(0.109596 + 0.480173i) q^{82} +(5.11608 - 13.0356i) q^{83} +(-9.83365 + 12.3310i) q^{84} +1.74736 q^{85} +(14.7184 - 10.5241i) q^{86} +7.55102 q^{87} +(-2.80443 + 3.51664i) q^{88} +(0.143414 - 0.365414i) q^{89} +(-0.511702 - 2.24191i) q^{90} +(0.509861 + 6.80362i) q^{91} +(5.20531 + 9.01586i) q^{92} +(-0.672662 + 1.16508i) q^{93} +(-19.3066 - 9.29758i) q^{94} +(2.72856 + 2.53173i) q^{95} +(29.8623 + 20.3598i) q^{96} +(-3.76302 + 16.4869i) q^{97} +(-8.79782 - 1.32606i) q^{98} +(-0.338908 + 0.231063i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{13}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.72039 + 2.15730i −1.21650 + 1.52544i −0.436450 + 0.899729i \(0.643764\pi\)
−0.780051 + 0.625716i \(0.784807\pi\)
\(3\) −0.528255 + 1.34597i −0.304988 + 0.777097i 0.693412 + 0.720542i \(0.256107\pi\)
−0.998399 + 0.0565549i \(0.981988\pi\)
\(4\) −1.24917 5.47296i −0.624584 2.73648i
\(5\) 0.0684907 + 0.913945i 0.0306300 + 0.408729i 0.991353 + 0.131220i \(0.0418895\pi\)
−0.960723 + 0.277508i \(0.910491\pi\)
\(6\) −1.99486 3.45520i −0.814399 1.41058i
\(7\) −0.971539 + 1.68276i −0.367207 + 0.636022i −0.989128 0.147059i \(-0.953019\pi\)
0.621920 + 0.783080i \(0.286353\pi\)
\(8\) 8.98382 + 4.32638i 3.17626 + 1.52961i
\(9\) 0.666571 + 0.618487i 0.222190 + 0.206162i
\(10\) −2.08949 1.42459i −0.660754 0.450495i
\(11\) −0.100377 + 0.439781i −0.0302648 + 0.132599i −0.987803 0.155706i \(-0.950235\pi\)
0.957539 + 0.288305i \(0.0930918\pi\)
\(12\) 8.02633 + 1.20977i 2.31700 + 0.349232i
\(13\) 2.90116 1.97798i 0.804637 0.548592i −0.0897094 0.995968i \(-0.528594\pi\)
0.894346 + 0.447376i \(0.147641\pi\)
\(14\) −1.95879 4.99091i −0.523508 1.33388i
\(15\) −1.26632 0.390609i −0.326963 0.100855i
\(16\) −14.6735 + 7.06637i −3.66837 + 1.76659i
\(17\) 0.142476 1.90121i 0.0345555 0.461111i −0.952908 0.303261i \(-0.901925\pi\)
0.987463 0.157850i \(-0.0504563\pi\)
\(18\) −2.48103 + 0.373955i −0.584784 + 0.0881420i
\(19\) 2.97713 2.76237i 0.683000 0.633731i −0.260357 0.965513i \(-0.583840\pi\)
0.943356 + 0.331781i \(0.107650\pi\)
\(20\) 4.91643 1.51652i 1.09935 0.339104i
\(21\) −1.75172 2.19659i −0.382257 0.479335i
\(22\) −0.776053 0.973140i −0.165455 0.207474i
\(23\) −1.77211 + 0.546623i −0.369510 + 0.113979i −0.473949 0.880553i \(-0.657172\pi\)
0.104438 + 0.994531i \(0.466696\pi\)
\(24\) −10.5689 + 9.80653i −2.15737 + 2.00175i
\(25\) 4.11355 0.620018i 0.822710 0.124004i
\(26\) −0.724035 + 9.66157i −0.141995 + 1.89479i
\(27\) −5.09278 + 2.45255i −0.980106 + 0.471994i
\(28\) 10.4233 + 3.21515i 1.96981 + 0.607607i
\(29\) −1.90792 4.86129i −0.354291 0.902719i −0.991271 0.131839i \(-0.957912\pi\)
0.636980 0.770880i \(-0.280183\pi\)
\(30\) 3.02124 2.05984i 0.551600 0.376074i
\(31\) 0.920034 + 0.138673i 0.165243 + 0.0249064i 0.231143 0.972920i \(-0.425754\pi\)
−0.0658996 + 0.997826i \(0.520992\pi\)
\(32\) 5.56217 24.3695i 0.983262 4.30795i
\(33\) −0.538908 0.367421i −0.0938118 0.0639598i
\(34\) 3.85637 + 3.57819i 0.661362 + 0.613654i
\(35\) −1.60449 0.772681i −0.271208 0.130607i
\(36\) 2.55230 4.42071i 0.425383 0.736785i
\(37\) 0.277212 + 0.480145i 0.0455734 + 0.0789354i 0.887912 0.460013i \(-0.152155\pi\)
−0.842339 + 0.538948i \(0.818822\pi\)
\(38\) 0.837445 + 11.1749i 0.135852 + 1.81281i
\(39\) 1.12975 + 4.94975i 0.180904 + 0.792594i
\(40\) −3.33877 + 8.50704i −0.527905 + 1.34508i
\(41\) 0.111290 0.139553i 0.0173806 0.0217945i −0.773065 0.634327i \(-0.781277\pi\)
0.790446 + 0.612532i \(0.209849\pi\)
\(42\) 7.75235 1.19621
\(43\) −6.30773 1.79236i −0.961920 0.273333i
\(44\) 2.53229 0.381757
\(45\) −0.519610 + 0.651570i −0.0774588 + 0.0971303i
\(46\) 1.86949 4.76338i 0.275641 0.702323i
\(47\) 1.72810 + 7.57131i 0.252069 + 1.10439i 0.929506 + 0.368807i \(0.120234\pi\)
−0.677436 + 0.735581i \(0.736909\pi\)
\(48\) −1.75980 23.4829i −0.254005 3.38946i
\(49\) 1.61222 + 2.79245i 0.230317 + 0.398922i
\(50\) −5.73935 + 9.94085i −0.811667 + 1.40585i
\(51\) 2.48371 + 1.19609i 0.347789 + 0.167486i
\(52\) −14.4494 13.4071i −2.00377 1.85923i
\(53\) −8.52328 5.81107i −1.17076 0.798212i −0.187834 0.982201i \(-0.560147\pi\)
−0.982928 + 0.183989i \(0.941099\pi\)
\(54\) 3.47068 15.2060i 0.472299 2.06928i
\(55\) −0.408811 0.0616183i −0.0551240 0.00830861i
\(56\) −16.0084 + 10.9143i −2.13921 + 1.45849i
\(57\) 2.14539 + 5.46636i 0.284164 + 0.724037i
\(58\) 13.7696 + 4.24737i 1.80804 + 0.557707i
\(59\) 9.19536 4.42825i 1.19713 0.576509i 0.274276 0.961651i \(-0.411562\pi\)
0.922857 + 0.385142i \(0.125848\pi\)
\(60\) −0.555938 + 7.41848i −0.0717713 + 0.957722i
\(61\) −5.55516 + 0.837306i −0.711266 + 0.107206i −0.494702 0.869063i \(-0.664723\pi\)
−0.216563 + 0.976269i \(0.569485\pi\)
\(62\) −1.88198 + 1.74622i −0.239012 + 0.221770i
\(63\) −1.68836 + 0.520791i −0.212714 + 0.0656135i
\(64\) 22.6945 + 28.4580i 2.83681 + 3.55725i
\(65\) 2.00646 + 2.51603i 0.248871 + 0.312075i
\(66\) 1.71977 0.530479i 0.211689 0.0652975i
\(67\) −0.807046 + 0.748830i −0.0985964 + 0.0914841i −0.727931 0.685650i \(-0.759518\pi\)
0.629335 + 0.777134i \(0.283327\pi\)
\(68\) −10.5832 + 1.59516i −1.28340 + 0.193442i
\(69\) 0.200386 2.67396i 0.0241236 0.321907i
\(70\) 4.42726 2.13205i 0.529158 0.254829i
\(71\) −5.41606 1.67063i −0.642768 0.198268i −0.0437996 0.999040i \(-0.513946\pi\)
−0.598968 + 0.800773i \(0.704422\pi\)
\(72\) 3.31254 + 8.44022i 0.390387 + 0.994690i
\(73\) 11.7207 7.99101i 1.37180 0.935277i 0.371823 0.928304i \(-0.378733\pi\)
0.999976 0.00697295i \(-0.00221958\pi\)
\(74\) −1.51273 0.228008i −0.175852 0.0265054i
\(75\) −1.33848 + 5.86425i −0.154554 + 0.677145i
\(76\) −18.8373 12.8430i −2.16078 1.47320i
\(77\) −0.642524 0.596175i −0.0732224 0.0679404i
\(78\) −12.6217 6.07830i −1.42913 0.688232i
\(79\) 1.13115 1.95921i 0.127264 0.220429i −0.795351 0.606149i \(-0.792714\pi\)
0.922616 + 0.385720i \(0.126047\pi\)
\(80\) −7.46327 12.9268i −0.834419 1.44526i
\(81\) −0.406922 5.43000i −0.0452136 0.603334i
\(82\) 0.109596 + 0.480173i 0.0121029 + 0.0530262i
\(83\) 5.11608 13.0356i 0.561563 1.43084i −0.314786 0.949163i \(-0.601933\pi\)
0.876349 0.481676i \(-0.159972\pi\)
\(84\) −9.83365 + 12.3310i −1.07294 + 1.34542i
\(85\) 1.74736 0.189528
\(86\) 14.7184 10.5241i 1.58713 1.13484i
\(87\) 7.55102 0.809554
\(88\) −2.80443 + 3.51664i −0.298953 + 0.374876i
\(89\) 0.143414 0.365414i 0.0152019 0.0387338i −0.923071 0.384629i \(-0.874329\pi\)
0.938273 + 0.345895i \(0.112425\pi\)
\(90\) −0.511702 2.24191i −0.0539381 0.236318i
\(91\) 0.509861 + 6.80362i 0.0534480 + 0.713213i
\(92\) 5.20531 + 9.01586i 0.542691 + 0.939969i
\(93\) −0.672662 + 1.16508i −0.0697518 + 0.120814i
\(94\) −19.3066 9.29758i −1.99133 0.958972i
\(95\) 2.72856 + 2.53173i 0.279944 + 0.259750i
\(96\) 29.8623 + 20.3598i 3.04781 + 2.07796i
\(97\) −3.76302 + 16.4869i −0.382077 + 1.67399i 0.308885 + 0.951099i \(0.400044\pi\)
−0.690963 + 0.722891i \(0.742813\pi\)
\(98\) −8.79782 1.32606i −0.888714 0.133952i
\(99\) −0.338908 + 0.231063i −0.0340615 + 0.0232227i
\(100\) −8.53185 21.7388i −0.853185 2.17388i
\(101\) 5.90279 + 1.82077i 0.587349 + 0.181173i 0.574165 0.818740i \(-0.305327\pi\)
0.0131846 + 0.999913i \(0.495803\pi\)
\(102\) −6.85328 + 3.30037i −0.678576 + 0.326785i
\(103\) 0.712752 9.51101i 0.0702295 0.937148i −0.845143 0.534540i \(-0.820485\pi\)
0.915373 0.402608i \(-0.131896\pi\)
\(104\) 34.6210 5.21827i 3.39487 0.511694i
\(105\) 1.88758 1.75142i 0.184209 0.170921i
\(106\) 27.1996 8.38997i 2.64186 0.814906i
\(107\) −2.82868 3.54705i −0.273459 0.342906i 0.626071 0.779766i \(-0.284662\pi\)
−0.899530 + 0.436860i \(0.856091\pi\)
\(108\) 19.7845 + 24.8089i 1.90376 + 2.38724i
\(109\) −15.3056 + 4.72117i −1.46601 + 0.452206i −0.922106 0.386939i \(-0.873533\pi\)
−0.543909 + 0.839144i \(0.683056\pi\)
\(110\) 0.836244 0.775921i 0.0797327 0.0739812i
\(111\) −0.792700 + 0.119480i −0.0752398 + 0.0113406i
\(112\) 2.36488 31.5571i 0.223460 2.98187i
\(113\) −11.7135 + 5.64091i −1.10191 + 0.530652i −0.894258 0.447551i \(-0.852296\pi\)
−0.207652 + 0.978203i \(0.566582\pi\)
\(114\) −15.4835 4.77603i −1.45016 0.447316i
\(115\) −0.620957 1.58217i −0.0579045 0.147538i
\(116\) −24.2223 + 16.5145i −2.24899 + 1.53333i
\(117\) 3.15718 + 0.475869i 0.291882 + 0.0439941i
\(118\) −6.26654 + 27.4555i −0.576882 + 2.52748i
\(119\) 3.06085 + 2.08685i 0.280588 + 0.191301i
\(120\) −9.68651 8.98776i −0.884253 0.820467i
\(121\) 9.72733 + 4.68443i 0.884302 + 0.425858i
\(122\) 7.75074 13.4247i 0.701719 1.21541i
\(123\) 0.129045 + 0.223513i 0.0116356 + 0.0201535i
\(124\) −0.390326 5.20854i −0.0350523 0.467741i
\(125\) 1.86811 + 8.18474i 0.167089 + 0.732065i
\(126\) 1.78114 4.53828i 0.158677 0.404302i
\(127\) −8.20396 + 10.2874i −0.727983 + 0.912862i −0.998760 0.0497798i \(-0.984148\pi\)
0.270777 + 0.962642i \(0.412719\pi\)
\(128\) −50.4437 −4.45864
\(129\) 5.74456 7.54319i 0.505780 0.664141i
\(130\) −8.87974 −0.778805
\(131\) 1.89745 2.37933i 0.165781 0.207883i −0.692001 0.721897i \(-0.743271\pi\)
0.857782 + 0.514014i \(0.171842\pi\)
\(132\) −1.33770 + 3.40839i −0.116431 + 0.296662i
\(133\) 1.75600 + 7.69353i 0.152264 + 0.667113i
\(134\) −0.227017 3.02933i −0.0196112 0.261694i
\(135\) −2.59031 4.48654i −0.222938 0.386140i
\(136\) 9.50533 16.4637i 0.815075 1.41175i
\(137\) 10.9381 + 5.26750i 0.934503 + 0.450033i 0.838227 0.545322i \(-0.183593\pi\)
0.0962759 + 0.995355i \(0.469307\pi\)
\(138\) 5.42381 + 5.03256i 0.461705 + 0.428400i
\(139\) −3.71295 2.53144i −0.314928 0.214714i 0.395531 0.918452i \(-0.370560\pi\)
−0.710459 + 0.703738i \(0.751513\pi\)
\(140\) −2.22458 + 9.74651i −0.188011 + 0.823730i
\(141\) −11.1036 1.67360i −0.935095 0.140943i
\(142\) 12.9218 8.80994i 1.08437 0.739314i
\(143\) 0.578666 + 1.47442i 0.0483905 + 0.123297i
\(144\) −14.1514 4.36512i −1.17928 0.363760i
\(145\) 4.31228 2.07668i 0.358115 0.172459i
\(146\) −2.92509 + 39.0327i −0.242083 + 3.23037i
\(147\) −4.61022 + 0.694879i −0.380245 + 0.0573127i
\(148\) 2.28153 2.11695i 0.187541 0.174012i
\(149\) −8.97878 + 2.76959i −0.735571 + 0.226893i −0.639834 0.768513i \(-0.720997\pi\)
−0.0957367 + 0.995407i \(0.530521\pi\)
\(150\) −10.3483 12.9763i −0.844931 1.05951i
\(151\) −5.17636 6.49094i −0.421246 0.528226i 0.525247 0.850950i \(-0.323973\pi\)
−0.946493 + 0.322724i \(0.895401\pi\)
\(152\) 38.6970 11.9365i 3.13874 0.968174i
\(153\) 1.27084 1.17917i 0.102742 0.0953303i
\(154\) 2.39152 0.360464i 0.192714 0.0290470i
\(155\) −0.0637256 + 0.850359i −0.00511856 + 0.0683025i
\(156\) 25.6785 12.3661i 2.05593 0.990083i
\(157\) −9.31783 2.87417i −0.743644 0.229384i −0.100296 0.994958i \(-0.531979\pi\)
−0.643348 + 0.765574i \(0.722455\pi\)
\(158\) 2.28059 + 5.81085i 0.181434 + 0.462286i
\(159\) 12.3240 8.40236i 0.977356 0.666350i
\(160\) 22.6533 + 3.41444i 1.79090 + 0.269935i
\(161\) 0.801841 3.51309i 0.0631939 0.276871i
\(162\) 12.4142 + 8.46388i 0.975354 + 0.664985i
\(163\) −1.63792 1.51977i −0.128292 0.119037i 0.613418 0.789759i \(-0.289794\pi\)
−0.741709 + 0.670721i \(0.765985\pi\)
\(164\) −0.902789 0.434760i −0.0704960 0.0339491i
\(165\) 0.298893 0.517697i 0.0232687 0.0403027i
\(166\) 19.3200 + 33.4632i 1.49952 + 2.59725i
\(167\) −1.74279 23.2559i −0.134861 1.79959i −0.497292 0.867583i \(-0.665672\pi\)
0.362431 0.932011i \(-0.381947\pi\)
\(168\) −6.23387 27.3124i −0.480953 2.10719i
\(169\) −0.245104 + 0.624515i −0.0188542 + 0.0480396i
\(170\) −3.00614 + 3.76958i −0.230561 + 0.289114i
\(171\) 3.69296 0.282407
\(172\) −1.93013 + 36.7609i −0.147171 + 2.80299i
\(173\) −1.53451 −0.116666 −0.0583332 0.998297i \(-0.518579\pi\)
−0.0583332 + 0.998297i \(0.518579\pi\)
\(174\) −12.9907 + 16.2898i −0.984824 + 1.23493i
\(175\) −2.95314 + 7.52447i −0.223236 + 0.568797i
\(176\) −1.63477 7.16241i −0.123226 0.539887i
\(177\) 1.10281 + 14.7159i 0.0828920 + 1.10612i
\(178\) 0.541580 + 0.938044i 0.0405931 + 0.0703094i
\(179\) 3.26451 5.65429i 0.244001 0.422621i −0.717850 0.696198i \(-0.754873\pi\)
0.961850 + 0.273577i \(0.0882068\pi\)
\(180\) 4.21510 + 2.02988i 0.314175 + 0.151299i
\(181\) −13.9680 12.9604i −1.03823 0.963336i −0.0388746 0.999244i \(-0.512377\pi\)
−0.999355 + 0.0359077i \(0.988568\pi\)
\(182\) −15.5546 10.6050i −1.15299 0.786093i
\(183\) 1.80755 7.91940i 0.133618 0.585419i
\(184\) −18.2852 2.75605i −1.34800 0.203179i
\(185\) −0.419840 + 0.286242i −0.0308672 + 0.0210449i
\(186\) −1.35620 3.45554i −0.0994414 0.253372i
\(187\) 0.821814 + 0.253496i 0.0600970 + 0.0185375i
\(188\) 39.2788 18.9157i 2.86470 1.37957i
\(189\) 0.820788 10.9527i 0.0597035 0.796688i
\(190\) −10.1559 + 1.53076i −0.736787 + 0.111053i
\(191\) 11.7580 10.9099i 0.850781 0.789410i −0.128544 0.991704i \(-0.541030\pi\)
0.979325 + 0.202294i \(0.0648397\pi\)
\(192\) −50.2922 + 15.5131i −3.62952 + 1.11956i
\(193\) −3.90963 4.90253i −0.281422 0.352892i 0.620950 0.783850i \(-0.286747\pi\)
−0.902372 + 0.430959i \(0.858176\pi\)
\(194\) −29.0933 36.4819i −2.08878 2.61925i
\(195\) −4.44642 + 1.37154i −0.318415 + 0.0982180i
\(196\) 13.2690 12.3119i 0.947789 0.879419i
\(197\) −10.7637 + 1.62237i −0.766884 + 0.115589i −0.520822 0.853665i \(-0.674375\pi\)
−0.246062 + 0.969254i \(0.579137\pi\)
\(198\) 0.0845803 1.12865i 0.00601086 0.0802094i
\(199\) 4.32905 2.08476i 0.306878 0.147785i −0.274106 0.961699i \(-0.588382\pi\)
0.580984 + 0.813915i \(0.302668\pi\)
\(200\) 39.6378 + 12.2267i 2.80282 + 0.864555i
\(201\) −0.581577 1.48183i −0.0410213 0.104520i
\(202\) −14.0831 + 9.60167i −0.990881 + 0.675571i
\(203\) 10.0340 + 1.51238i 0.704247 + 0.106148i
\(204\) 3.44359 15.0874i 0.241100 1.05633i
\(205\) 0.135166 + 0.0921548i 0.00944042 + 0.00643637i
\(206\) 19.2919 + 17.9003i 1.34413 + 1.24717i
\(207\) −1.51932 0.731664i −0.105600 0.0508542i
\(208\) −28.5929 + 49.5244i −1.98256 + 3.43390i
\(209\) 0.916002 + 1.58656i 0.0633612 + 0.109745i
\(210\) 0.530964 + 7.08522i 0.0366400 + 0.488927i
\(211\) 4.43696 + 19.4396i 0.305453 + 1.33828i 0.861766 + 0.507305i \(0.169358\pi\)
−0.556313 + 0.830973i \(0.687785\pi\)
\(212\) −21.1568 + 53.9066i −1.45305 + 3.70232i
\(213\) 5.10968 6.40734i 0.350110 0.439024i
\(214\) 12.5185 0.855747
\(215\) 1.20610 5.88768i 0.0822554 0.401536i
\(216\) −56.3633 −3.83504
\(217\) −1.12720 + 1.41347i −0.0765195 + 0.0959524i
\(218\) 16.1467 41.1412i 1.09359 2.78643i
\(219\) 4.56417 + 19.9969i 0.308418 + 1.35127i
\(220\) 0.173439 + 2.31438i 0.0116932 + 0.156035i
\(221\) −3.34720 5.79752i −0.225157 0.389983i
\(222\) 1.10600 1.91565i 0.0742298 0.128570i
\(223\) 1.34141 + 0.645989i 0.0898274 + 0.0432586i 0.478258 0.878219i \(-0.341268\pi\)
−0.388431 + 0.921478i \(0.626983\pi\)
\(224\) 35.6040 + 33.0357i 2.37889 + 2.20729i
\(225\) 3.12545 + 2.13089i 0.208363 + 0.142060i
\(226\) 7.98261 34.9741i 0.530995 2.32644i
\(227\) 24.3967 + 3.67721i 1.61927 + 0.244065i 0.895200 0.445665i \(-0.147033\pi\)
0.724067 + 0.689730i \(0.242271\pi\)
\(228\) 27.2372 18.5700i 1.80383 1.22983i
\(229\) 5.63673 + 14.3622i 0.372486 + 0.949078i 0.987079 + 0.160234i \(0.0512248\pi\)
−0.614594 + 0.788844i \(0.710680\pi\)
\(230\) 4.48151 + 1.38236i 0.295502 + 0.0911504i
\(231\) 1.14185 0.549886i 0.0751282 0.0361798i
\(232\) 3.89142 51.9273i 0.255484 3.40920i
\(233\) −20.2723 + 3.05556i −1.32808 + 0.200176i −0.774476 0.632603i \(-0.781987\pi\)
−0.553606 + 0.832779i \(0.686749\pi\)
\(234\) −6.45818 + 5.99232i −0.422185 + 0.391730i
\(235\) −6.80140 + 2.09795i −0.443674 + 0.136855i
\(236\) −35.7222 44.7942i −2.32532 2.91585i
\(237\) 2.03951 + 2.55746i 0.132480 + 0.166125i
\(238\) −9.76783 + 3.01298i −0.633155 + 0.195302i
\(239\) −9.45056 + 8.76884i −0.611306 + 0.567209i −0.923879 0.382685i \(-0.875000\pi\)
0.312573 + 0.949894i \(0.398809\pi\)
\(240\) 21.3415 3.21672i 1.37759 0.207638i
\(241\) −0.568011 + 7.57957i −0.0365888 + 0.488243i 0.948567 + 0.316578i \(0.102534\pi\)
−0.985155 + 0.171665i \(0.945085\pi\)
\(242\) −26.8406 + 12.9257i −1.72538 + 0.830898i
\(243\) −8.68070 2.67764i −0.556867 0.171771i
\(244\) 11.5219 + 29.3573i 0.737612 + 1.87941i
\(245\) −2.44172 + 1.66474i −0.155996 + 0.106356i
\(246\) −0.704193 0.106140i −0.0448977 0.00676724i
\(247\) 3.17321 13.9028i 0.201907 0.884611i
\(248\) 7.66547 + 5.22623i 0.486758 + 0.331866i
\(249\) 14.8429 + 13.7722i 0.940630 + 0.872777i
\(250\) −20.8709 10.0509i −1.31999 0.635673i
\(251\) −7.99653 + 13.8504i −0.504736 + 0.874229i 0.495249 + 0.868751i \(0.335077\pi\)
−0.999985 + 0.00547772i \(0.998256\pi\)
\(252\) 4.95932 + 8.58979i 0.312408 + 0.541106i
\(253\) −0.0625153 0.834208i −0.00393030 0.0524462i
\(254\) −8.07910 35.3969i −0.506928 2.22100i
\(255\) −0.923050 + 2.35189i −0.0578036 + 0.147281i
\(256\) 41.3940 51.9064i 2.58712 3.24415i
\(257\) −2.70015 −0.168431 −0.0842154 0.996448i \(-0.526838\pi\)
−0.0842154 + 0.996448i \(0.526838\pi\)
\(258\) 6.39007 + 25.3700i 0.397828 + 1.57947i
\(259\) −1.07729 −0.0669395
\(260\) 11.2637 14.1242i 0.698545 0.875948i
\(261\) 1.73489 4.42042i 0.107387 0.273617i
\(262\) 1.86857 + 8.18675i 0.115441 + 0.505779i
\(263\) 1.38065 + 18.4235i 0.0851345 + 1.13604i 0.862182 + 0.506599i \(0.169097\pi\)
−0.777048 + 0.629442i \(0.783284\pi\)
\(264\) −3.25185 5.63237i −0.200137 0.346648i
\(265\) 4.72723 8.18781i 0.290392 0.502973i
\(266\) −19.6183 9.44767i −1.20287 0.579274i
\(267\) 0.416077 + 0.386063i 0.0254635 + 0.0236267i
\(268\) 5.10645 + 3.48152i 0.311926 + 0.212668i
\(269\) −2.87587 + 12.6000i −0.175345 + 0.768236i 0.808395 + 0.588640i \(0.200336\pi\)
−0.983740 + 0.179596i \(0.942521\pi\)
\(270\) 14.1352 + 2.13054i 0.860239 + 0.129660i
\(271\) −12.7456 + 8.68981i −0.774240 + 0.527868i −0.884783 0.466003i \(-0.845694\pi\)
0.110543 + 0.993871i \(0.464741\pi\)
\(272\) 11.3440 + 28.9041i 0.687832 + 1.75257i
\(273\) −9.42681 2.90779i −0.570537 0.175987i
\(274\) −30.1814 + 14.5346i −1.82332 + 0.878066i
\(275\) −0.140234 + 1.87130i −0.00845645 + 0.112843i
\(276\) −14.8848 + 2.24353i −0.895961 + 0.135044i
\(277\) 17.5390 16.2738i 1.05382 0.977798i 0.0540310 0.998539i \(-0.482793\pi\)
0.999785 + 0.0207410i \(0.00660253\pi\)
\(278\) 11.8488 3.65488i 0.710645 0.219205i
\(279\) 0.527501 + 0.661465i 0.0315806 + 0.0396009i
\(280\) −11.0715 13.8833i −0.661650 0.829683i
\(281\) 9.50488 2.93187i 0.567013 0.174900i 0.00202302 0.999998i \(-0.499356\pi\)
0.564990 + 0.825097i \(0.308880\pi\)
\(282\) 22.7131 21.0747i 1.35254 1.25498i
\(283\) 13.7960 2.07941i 0.820084 0.123608i 0.274418 0.961610i \(-0.411515\pi\)
0.545666 + 0.838003i \(0.316277\pi\)
\(284\) −2.37774 + 31.7288i −0.141093 + 1.88276i
\(285\) −4.84901 + 2.33516i −0.287231 + 0.138323i
\(286\) −4.17630 1.28822i −0.246950 0.0761739i
\(287\) 0.126711 + 0.322855i 0.00747953 + 0.0190575i
\(288\) 18.7798 12.8038i 1.10661 0.754474i
\(289\) 13.2158 + 1.99197i 0.777402 + 0.117174i
\(290\) −2.93877 + 12.8756i −0.172571 + 0.756081i
\(291\) −20.2030 13.7742i −1.18432 0.807458i
\(292\) −58.3755 54.1646i −3.41617 3.16974i
\(293\) 15.4513 + 7.44096i 0.902676 + 0.434706i 0.826855 0.562416i \(-0.190128\pi\)
0.0758211 + 0.997121i \(0.475842\pi\)
\(294\) 6.43232 11.1411i 0.375141 0.649763i
\(295\) 4.67697 + 8.10076i 0.272304 + 0.471644i
\(296\) 0.413132 + 5.51286i 0.0240128 + 0.320429i
\(297\) −0.567388 2.48589i −0.0329232 0.144246i
\(298\) 9.47219 24.1347i 0.548709 1.39809i
\(299\) −4.05996 + 5.09103i −0.234794 + 0.294422i
\(300\) 33.7668 1.94953
\(301\) 9.14432 8.87301i 0.527070 0.511432i
\(302\) 22.9083 1.31822
\(303\) −5.56888 + 6.98315i −0.319924 + 0.401172i
\(304\) −24.1648 + 61.5710i −1.38595 + 3.53134i
\(305\) −1.14573 5.01977i −0.0656042 0.287431i
\(306\) 0.357480 + 4.77023i 0.0204357 + 0.272696i
\(307\) −10.5428 18.2606i −0.601707 1.04219i −0.992563 0.121736i \(-0.961154\pi\)
0.390855 0.920452i \(-0.372179\pi\)
\(308\) −2.46022 + 4.26123i −0.140184 + 0.242806i
\(309\) 12.4250 + 5.98358i 0.706835 + 0.340394i
\(310\) −1.72485 1.60043i −0.0979648 0.0908981i
\(311\) 5.32355 + 3.62953i 0.301871 + 0.205812i 0.704776 0.709430i \(-0.251047\pi\)
−0.402906 + 0.915242i \(0.632000\pi\)
\(312\) −11.2650 + 49.3554i −0.637758 + 2.79420i
\(313\) −6.81682 1.02747i −0.385310 0.0580761i −0.0464687 0.998920i \(-0.514797\pi\)
−0.338841 + 0.940844i \(0.610035\pi\)
\(314\) 22.2308 15.1567i 1.25456 0.855341i
\(315\) −0.591612 1.50740i −0.0333335 0.0849325i
\(316\) −12.1357 3.74336i −0.682686 0.210581i
\(317\) −1.03153 + 0.496760i −0.0579367 + 0.0279008i −0.462628 0.886553i \(-0.653093\pi\)
0.404691 + 0.914453i \(0.367379\pi\)
\(318\) −3.07567 + 41.0419i −0.172475 + 2.30152i
\(319\) 2.32941 0.351103i 0.130422 0.0196580i
\(320\) −24.4547 + 22.6907i −1.36706 + 1.26845i
\(321\) 6.26849 1.93357i 0.349873 0.107922i
\(322\) 6.19933 + 7.77371i 0.345475 + 0.433212i
\(323\) −4.82767 6.05371i −0.268619 0.336837i
\(324\) −29.2099 + 9.01006i −1.62277 + 0.500559i
\(325\) 10.7077 9.93527i 0.593955 0.551110i
\(326\) 6.09646 0.918893i 0.337652 0.0508928i
\(327\) 1.73073 23.0949i 0.0957093 1.27715i
\(328\) 1.60357 0.772238i 0.0885423 0.0426397i
\(329\) −14.4196 4.44785i −0.794977 0.245218i
\(330\) 0.602617 + 1.53544i 0.0331730 + 0.0845234i
\(331\) −8.16250 + 5.56510i −0.448651 + 0.305885i −0.766486 0.642261i \(-0.777997\pi\)
0.317835 + 0.948146i \(0.397044\pi\)
\(332\) −77.7340 11.7165i −4.26621 0.643027i
\(333\) −0.112182 + 0.491503i −0.00614755 + 0.0269342i
\(334\) 53.1683 + 36.2495i 2.90924 + 1.98349i
\(335\) −0.739664 0.686308i −0.0404122 0.0374970i
\(336\) 41.2257 + 19.8532i 2.24905 + 1.08308i
\(337\) 11.5821 20.0608i 0.630919 1.09278i −0.356445 0.934316i \(-0.616011\pi\)
0.987364 0.158468i \(-0.0506554\pi\)
\(338\) −0.925594 1.60318i −0.0503457 0.0872012i
\(339\) −1.40480 18.7458i −0.0762985 1.01813i
\(340\) −2.18274 9.56323i −0.118376 0.518639i
\(341\) −0.153336 + 0.390694i −0.00830362 + 0.0211573i
\(342\) −6.35333 + 7.96683i −0.343549 + 0.430797i
\(343\) −19.8669 −1.07271
\(344\) −48.9131 43.3919i −2.63722 2.33954i
\(345\) 2.45758 0.132312
\(346\) 2.63996 3.31040i 0.141925 0.177968i
\(347\) −6.10329 + 15.5509i −0.327642 + 0.834818i 0.668222 + 0.743962i \(0.267056\pi\)
−0.995864 + 0.0908560i \(0.971040\pi\)
\(348\) −9.43249 41.3264i −0.505635 2.21533i
\(349\) −1.53538 20.4883i −0.0821871 1.09671i −0.873993 0.485938i \(-0.838478\pi\)
0.791806 0.610773i \(-0.209141\pi\)
\(350\) −11.1520 19.3159i −0.596100 1.03248i
\(351\) −9.92386 + 17.1886i −0.529697 + 0.917461i
\(352\) 10.1589 + 4.89227i 0.541472 + 0.260759i
\(353\) −7.38749 6.85459i −0.393196 0.364833i 0.458657 0.888613i \(-0.348331\pi\)
−0.851853 + 0.523781i \(0.824521\pi\)
\(354\) −33.6440 22.9381i −1.78816 1.21915i
\(355\) 1.15592 5.06440i 0.0613497 0.268791i
\(356\) −2.17905 0.328438i −0.115489 0.0174072i
\(357\) −4.42575 + 3.01742i −0.234235 + 0.159699i
\(358\) 6.58179 + 16.7701i 0.347858 + 0.886329i
\(359\) 14.5648 + 4.49265i 0.768701 + 0.237113i 0.654211 0.756312i \(-0.273001\pi\)
0.114489 + 0.993424i \(0.463477\pi\)
\(360\) −7.48702 + 3.60556i −0.394601 + 0.190030i
\(361\) −0.187276 + 2.49903i −0.00985663 + 0.131528i
\(362\) 51.9898 7.83620i 2.73252 0.411862i
\(363\) −11.4436 + 10.6181i −0.600634 + 0.557307i
\(364\) 36.5991 11.2893i 1.91831 0.591721i
\(365\) 8.10610 + 10.1647i 0.424292 + 0.532046i
\(366\) 13.9749 + 17.5239i 0.730477 + 0.915989i
\(367\) −11.2654 + 3.47491i −0.588047 + 0.181389i −0.574479 0.818519i \(-0.694795\pi\)
−0.0135684 + 0.999908i \(0.504319\pi\)
\(368\) 22.1403 20.5432i 1.15415 1.07089i
\(369\) 0.160495 0.0241907i 0.00835501 0.00125932i
\(370\) 0.104778 1.39817i 0.00544717 0.0726874i
\(371\) 18.0593 8.69691i 0.937593 0.451521i
\(372\) 7.21673 + 2.22607i 0.374170 + 0.115416i
\(373\) −4.44434 11.3240i −0.230119 0.586335i 0.768444 0.639917i \(-0.221031\pi\)
−0.998563 + 0.0535823i \(0.982936\pi\)
\(374\) −1.96071 + 1.33679i −0.101386 + 0.0691238i
\(375\) −12.0033 1.80920i −0.619846 0.0934267i
\(376\) −17.2314 + 75.4957i −0.888642 + 3.89339i
\(377\) −15.1507 10.3296i −0.780300 0.531999i
\(378\) 22.2161 + 20.6135i 1.14267 + 1.06025i
\(379\) 7.27433 + 3.50313i 0.373657 + 0.179944i 0.611281 0.791413i \(-0.290654\pi\)
−0.237624 + 0.971357i \(0.576369\pi\)
\(380\) 10.4477 18.0959i 0.535953 0.928298i
\(381\) −9.51281 16.4767i −0.487356 0.844125i
\(382\) 3.30745 + 44.1349i 0.169224 + 2.25814i
\(383\) 5.78751 + 25.3567i 0.295728 + 1.29567i 0.876421 + 0.481546i \(0.159925\pi\)
−0.580693 + 0.814123i \(0.697218\pi\)
\(384\) 26.6471 67.8958i 1.35983 3.46479i
\(385\) 0.500864 0.628064i 0.0255264 0.0320091i
\(386\) 17.3023 0.880666
\(387\) −3.09599 5.09599i −0.157378 0.259044i
\(388\) 94.9328 4.81948
\(389\) −2.28337 + 2.86325i −0.115771 + 0.145173i −0.836340 0.548211i \(-0.815309\pi\)
0.720569 + 0.693383i \(0.243881\pi\)
\(390\) 4.69076 11.9519i 0.237526 0.605206i
\(391\) 0.786762 + 3.44703i 0.0397883 + 0.174324i
\(392\) 2.40271 + 32.0620i 0.121355 + 1.61937i
\(393\) 2.20017 + 3.81080i 0.110984 + 0.192230i
\(394\) 15.0179 26.0117i 0.756590 1.31045i
\(395\) 1.86809 + 0.899623i 0.0939936 + 0.0452649i
\(396\) 1.68795 + 1.56619i 0.0848228 + 0.0787041i
\(397\) 21.5184 + 14.6710i 1.07998 + 0.736315i 0.966356 0.257209i \(-0.0828028\pi\)
0.113620 + 0.993524i \(0.463755\pi\)
\(398\) −2.95020 + 12.9257i −0.147880 + 0.647905i
\(399\) −11.2829 1.70062i −0.564850 0.0851375i
\(400\) −55.9787 + 38.1657i −2.79894 + 1.90828i
\(401\) −5.05268 12.8740i −0.252319 0.642897i 0.747452 0.664316i \(-0.231277\pi\)
−0.999771 + 0.0214185i \(0.993182\pi\)
\(402\) 4.19731 + 1.29470i 0.209343 + 0.0645736i
\(403\) 2.94346 1.41749i 0.146624 0.0706104i
\(404\) 2.59143 34.5802i 0.128928 1.72043i
\(405\) 4.93485 0.743809i 0.245215 0.0369602i
\(406\) −20.5250 + 19.0445i −1.01864 + 0.945160i
\(407\) −0.238984 + 0.0737170i −0.0118460 + 0.00365401i
\(408\) 17.1384 + 21.4909i 0.848480 + 1.06396i
\(409\) 4.23419 + 5.30951i 0.209367 + 0.262538i 0.875416 0.483370i \(-0.160587\pi\)
−0.666049 + 0.745908i \(0.732016\pi\)
\(410\) −0.431345 + 0.133052i −0.0213026 + 0.00657099i
\(411\) −12.8680 + 11.9397i −0.634731 + 0.588944i
\(412\) −52.9438 + 7.97999i −2.60835 + 0.393146i
\(413\) −1.48199 + 19.7758i −0.0729239 + 0.973101i
\(414\) 4.19224 2.01888i 0.206037 0.0992224i
\(415\) 12.2642 + 3.78300i 0.602026 + 0.185700i
\(416\) −32.0655 81.7015i −1.57214 4.00575i
\(417\) 5.36863 3.66027i 0.262903 0.179244i
\(418\) −4.99858 0.753415i −0.244489 0.0368507i
\(419\) 2.65456 11.6304i 0.129684 0.568181i −0.867776 0.496955i \(-0.834451\pi\)
0.997460 0.0712267i \(-0.0226914\pi\)
\(420\) −11.9434 8.14285i −0.582777 0.397331i
\(421\) −5.95716 5.52743i −0.290334 0.269391i 0.521535 0.853230i \(-0.325359\pi\)
−0.811869 + 0.583839i \(0.801550\pi\)
\(422\) −49.5705 23.8719i −2.41305 1.16206i
\(423\) −3.53086 + 6.11562i −0.171676 + 0.297352i
\(424\) −51.4307 89.0806i −2.49770 4.32613i
\(425\) −0.592702 7.90905i −0.0287502 0.383645i
\(426\) 5.03192 + 22.0463i 0.243797 + 1.06815i
\(427\) 3.98808 10.1615i 0.192997 0.491747i
\(428\) −15.8794 + 19.9121i −0.767559 + 0.962488i
\(429\) −2.29021 −0.110572
\(430\) 10.6265 + 12.7310i 0.512457 + 0.613945i
\(431\) −13.4125 −0.646056 −0.323028 0.946389i \(-0.604701\pi\)
−0.323028 + 0.946389i \(0.604701\pi\)
\(432\) 57.3981 71.9749i 2.76157 3.46289i
\(433\) 3.83290 9.76607i 0.184197 0.469327i −0.808711 0.588206i \(-0.799835\pi\)
0.992909 + 0.118878i \(0.0379298\pi\)
\(434\) −1.11005 4.86344i −0.0532840 0.233452i
\(435\) 0.517175 + 6.90122i 0.0247966 + 0.330888i
\(436\) 44.9581 + 77.8697i 2.15310 + 3.72928i
\(437\) −3.76582 + 6.52259i −0.180143 + 0.312018i
\(438\) −50.9917 24.5563i −2.43648 1.17334i
\(439\) 17.6465 + 16.3735i 0.842220 + 0.781466i 0.977853 0.209293i \(-0.0671163\pi\)
−0.135633 + 0.990759i \(0.543307\pi\)
\(440\) −3.40610 2.32224i −0.162379 0.110708i
\(441\) −0.652435 + 2.85851i −0.0310683 + 0.136119i
\(442\) 18.2655 + 2.75308i 0.868802 + 0.130951i
\(443\) −14.5647 + 9.93004i −0.691990 + 0.471791i −0.857544 0.514410i \(-0.828011\pi\)
0.165555 + 0.986201i \(0.447059\pi\)
\(444\) 1.64413 + 4.18917i 0.0780268 + 0.198809i
\(445\) 0.343791 + 0.106045i 0.0162972 + 0.00502704i
\(446\) −3.70134 + 1.78247i −0.175264 + 0.0844025i
\(447\) 1.01530 13.5482i 0.0480220 0.640809i
\(448\) −69.9365 + 10.5412i −3.30419 + 0.498027i
\(449\) −16.9841 + 15.7590i −0.801531 + 0.743712i −0.970290 0.241945i \(-0.922214\pi\)
0.168759 + 0.985657i \(0.446024\pi\)
\(450\) −9.97398 + 3.07656i −0.470178 + 0.145031i
\(451\) 0.0502019 + 0.0629512i 0.00236391 + 0.00296425i
\(452\) 45.5046 + 57.0609i 2.14035 + 2.68392i
\(453\) 11.4711 3.53835i 0.538957 0.166246i
\(454\) −49.9048 + 46.3049i −2.34215 + 2.17319i
\(455\) −6.18322 + 0.931970i −0.289874 + 0.0436914i
\(456\) −4.37577 + 58.3906i −0.204914 + 2.73439i
\(457\) −20.4097 + 9.82881i −0.954727 + 0.459772i −0.845341 0.534227i \(-0.820603\pi\)
−0.109386 + 0.993999i \(0.534889\pi\)
\(458\) −40.6809 12.5484i −1.90089 0.586348i
\(459\) 3.93722 + 10.0319i 0.183773 + 0.468247i
\(460\) −7.88349 + 5.37487i −0.367570 + 0.250605i
\(461\) 27.2692 + 4.11018i 1.27006 + 0.191430i 0.749274 0.662260i \(-0.230403\pi\)
0.520781 + 0.853690i \(0.325641\pi\)
\(462\) −0.778159 + 3.40934i −0.0362032 + 0.158617i
\(463\) 8.81026 + 6.00673i 0.409447 + 0.279156i 0.750478 0.660896i \(-0.229823\pi\)
−0.341030 + 0.940052i \(0.610776\pi\)
\(464\) 62.3474 + 57.8499i 2.89440 + 2.68561i
\(465\) −1.11089 0.534979i −0.0515165 0.0248090i
\(466\) 28.2845 48.9903i 1.31026 2.26943i
\(467\) −2.52919 4.38068i −0.117037 0.202714i 0.801555 0.597921i \(-0.204006\pi\)
−0.918592 + 0.395207i \(0.870673\pi\)
\(468\) −1.33944 17.8736i −0.0619156 0.826206i
\(469\) −0.476020 2.08558i −0.0219806 0.0963031i
\(470\) 7.17515 18.2820i 0.330965 0.843285i
\(471\) 8.79074 11.0232i 0.405056 0.507924i
\(472\) 101.768 4.68424
\(473\) 1.42140 2.59411i 0.0653560 0.119277i
\(474\) −9.02597 −0.414576
\(475\) 10.5338 13.2090i 0.483326 0.606071i
\(476\) 7.59774 19.3587i 0.348242 0.887306i
\(477\) −2.08729 9.14503i −0.0955706 0.418722i
\(478\) −2.65838 35.4736i −0.121591 1.62252i
\(479\) 17.3338 + 30.0230i 0.792001 + 1.37179i 0.924726 + 0.380633i \(0.124294\pi\)
−0.132726 + 0.991153i \(0.542373\pi\)
\(480\) −16.5624 + 28.6870i −0.755969 + 1.30938i
\(481\) 1.75395 + 0.844659i 0.0799733 + 0.0385131i
\(482\) −15.3742 14.2652i −0.700278 0.649763i
\(483\) 4.30495 + 2.93506i 0.195882 + 0.133550i
\(484\) 13.4867 59.0889i 0.613030 2.68586i
\(485\) −15.3258 2.31000i −0.695911 0.104892i
\(486\) 20.7107 14.1203i 0.939457 0.640511i
\(487\) −8.75751 22.3138i −0.396841 1.01113i −0.980039 0.198804i \(-0.936294\pi\)
0.583199 0.812330i \(-0.301801\pi\)
\(488\) −53.5291 16.5115i −2.42315 0.747442i
\(489\) 2.91080 1.40177i 0.131631 0.0633901i
\(490\) 0.609375 8.13155i 0.0275288 0.367346i
\(491\) 2.48484 0.374530i 0.112139 0.0169023i −0.0927327 0.995691i \(-0.529560\pi\)
0.204872 + 0.978789i \(0.434322\pi\)
\(492\) 1.06208 0.985464i 0.0478821 0.0444281i
\(493\) −9.51415 + 2.93473i −0.428496 + 0.132174i
\(494\) 24.5333 + 30.7638i 1.10381 + 1.38413i
\(495\) −0.234391 0.293917i −0.0105351 0.0132106i
\(496\) −14.4800 + 4.46649i −0.650171 + 0.200551i
\(497\) 8.07318 7.49082i 0.362132 0.336009i
\(498\) −55.2464 + 8.32706i −2.47565 + 0.373144i
\(499\) 1.13941 15.2043i 0.0510068 0.680638i −0.911832 0.410563i \(-0.865332\pi\)
0.962839 0.270076i \(-0.0870487\pi\)
\(500\) 42.4612 20.4482i 1.89892 0.914472i
\(501\) 32.2224 + 9.93928i 1.43959 + 0.444054i
\(502\) −16.1223 41.0790i −0.719575 1.83345i
\(503\) 1.84862 1.26037i 0.0824261 0.0561971i −0.521406 0.853309i \(-0.674592\pi\)
0.603832 + 0.797112i \(0.293640\pi\)
\(504\) −17.4211 2.62581i −0.775997 0.116963i
\(505\) −1.25980 + 5.51953i −0.0560602 + 0.245616i
\(506\) 1.90719 + 1.30030i 0.0847850 + 0.0578055i
\(507\) −0.711102 0.659806i −0.0315811 0.0293030i
\(508\) 66.5509 + 32.0492i 2.95272 + 1.42195i
\(509\) −17.6153 + 30.5107i −0.780786 + 1.35236i 0.150698 + 0.988580i \(0.451848\pi\)
−0.931484 + 0.363782i \(0.881485\pi\)
\(510\) −3.48574 6.03748i −0.154351 0.267344i
\(511\) 2.05983 + 27.4866i 0.0911217 + 1.21593i
\(512\) 18.3144 + 80.2408i 0.809391 + 3.54618i
\(513\) −8.38699 + 21.3697i −0.370294 + 0.943495i
\(514\) 4.64532 5.82505i 0.204896 0.256932i
\(515\) 8.74136 0.385190
\(516\) −48.4595 22.0170i −2.13331 0.969245i
\(517\) −3.50318 −0.154070
\(518\) 1.85336 2.32404i 0.0814320 0.102112i
\(519\) 0.810611 2.06540i 0.0355819 0.0906611i
\(520\) 7.14043 + 31.2843i 0.313129 + 1.37191i
\(521\) −3.20580 42.7785i −0.140449 1.87416i −0.411247 0.911524i \(-0.634907\pi\)
0.270799 0.962636i \(-0.412712\pi\)
\(522\) 6.55150 + 11.3475i 0.286751 + 0.496668i
\(523\) 7.69902 13.3351i 0.336655 0.583103i −0.647147 0.762366i \(-0.724038\pi\)
0.983801 + 0.179263i \(0.0573712\pi\)
\(524\) −15.3922 7.41250i −0.672412 0.323816i
\(525\) −8.56771 7.94967i −0.373926 0.346952i
\(526\) −42.1203 28.7171i −1.83653 1.25213i
\(527\) 0.394729 1.72942i 0.0171947 0.0753347i
\(528\) 10.5040 + 1.58322i 0.457127 + 0.0689008i
\(529\) −16.1619 + 11.0190i −0.702692 + 0.479087i
\(530\) 9.53090 + 24.2843i 0.413996 + 1.05484i
\(531\) 8.86817 + 2.73547i 0.384846 + 0.118709i
\(532\) 39.9129 19.2210i 1.73044 0.833337i
\(533\) 0.0468369 0.624995i 0.00202873 0.0270715i
\(534\) −1.54867 + 0.233425i −0.0670176 + 0.0101013i
\(535\) 3.04807 2.82820i 0.131780 0.122274i
\(536\) −10.4901 + 3.23576i −0.453103 + 0.139764i
\(537\) 5.88602 + 7.38083i 0.254000 + 0.318507i
\(538\) −22.2344 27.8811i −0.958594 1.20204i
\(539\) −1.38990 + 0.428726i −0.0598671 + 0.0184666i
\(540\) −21.3189 + 19.7811i −0.917421 + 0.851243i
\(541\) 32.2484 4.86067i 1.38647 0.208976i 0.586952 0.809622i \(-0.300328\pi\)
0.799516 + 0.600645i \(0.205090\pi\)
\(542\) 3.18089 42.4460i 0.136631 1.82321i
\(543\) 24.8229 11.9541i 1.06525 0.512999i
\(544\) −45.5390 14.0469i −1.95247 0.602256i
\(545\) −5.36318 13.6652i −0.229733 0.585351i
\(546\) 22.4908 15.3340i 0.962517 0.656233i
\(547\) −4.56008 0.687322i −0.194975 0.0293878i 0.0508287 0.998707i \(-0.483814\pi\)
−0.245804 + 0.969320i \(0.579052\pi\)
\(548\) 15.1653 66.4436i 0.647831 2.83833i
\(549\) −4.22077 2.87767i −0.180138 0.122816i
\(550\) −3.79570 3.52189i −0.161849 0.150174i
\(551\) −19.1088 9.20230i −0.814061 0.392031i
\(552\) 13.3688 23.1555i 0.569015 0.985562i
\(553\) 2.19792 + 3.80690i 0.0934649 + 0.161886i
\(554\) 4.93360 + 65.8343i 0.209608 + 2.79703i
\(555\) −0.163491 0.716301i −0.00693981 0.0304053i
\(556\) −9.21640 + 23.4830i −0.390863 + 0.995902i
\(557\) 2.71786 3.40809i 0.115159 0.144405i −0.720911 0.693028i \(-0.756276\pi\)
0.836070 + 0.548623i \(0.184848\pi\)
\(558\) −2.33449 −0.0988268
\(559\) −21.8450 + 7.27661i −0.923944 + 0.307768i
\(560\) 29.0034 1.22562
\(561\) −0.775325 + 0.972227i −0.0327343 + 0.0410475i
\(562\) −10.0272 + 25.5489i −0.422972 + 1.07771i
\(563\) −6.19136 27.1261i −0.260935 1.14323i −0.920240 0.391354i \(-0.872007\pi\)
0.659306 0.751875i \(-0.270850\pi\)
\(564\) 4.71073 + 62.8604i 0.198358 + 2.64690i
\(565\) −5.95774 10.3191i −0.250644 0.434128i
\(566\) −19.2485 + 33.3395i −0.809077 + 1.40136i
\(567\) 9.53271 + 4.59071i 0.400336 + 0.192792i
\(568\) −41.4291 38.4406i −1.73833 1.61293i
\(569\) 1.04489 + 0.712395i 0.0438042 + 0.0298652i 0.585024 0.811016i \(-0.301085\pi\)
−0.541220 + 0.840881i \(0.682037\pi\)
\(570\) 3.30455 14.4782i 0.138412 0.606425i
\(571\) −20.4623 3.08420i −0.856322 0.129070i −0.293815 0.955862i \(-0.594925\pi\)
−0.562507 + 0.826792i \(0.690163\pi\)
\(572\) 7.34658 5.00881i 0.307176 0.209429i
\(573\) 8.47312 + 21.5891i 0.353970 + 0.901900i
\(574\) −0.914490 0.282083i −0.0381701 0.0117739i
\(575\) −6.95074 + 3.34730i −0.289866 + 0.139592i
\(576\) −2.47343 + 33.0056i −0.103059 + 1.37523i
\(577\) −11.3836 + 1.71580i −0.473905 + 0.0714297i −0.381653 0.924306i \(-0.624645\pi\)
−0.0922528 + 0.995736i \(0.529407\pi\)
\(578\) −27.0337 + 25.0836i −1.12445 + 1.04334i
\(579\) 8.66394 2.67247i 0.360061 0.111064i
\(580\) −16.7524 21.0068i −0.695604 0.872260i
\(581\) 16.9652 + 21.2737i 0.703835 + 0.882581i
\(582\) 64.4723 19.8871i 2.67246 0.824345i
\(583\) 3.41114 3.16508i 0.141275 0.131084i
\(584\) 139.868 21.0818i 5.78780 0.872370i
\(585\) −0.218680 + 2.91808i −0.00904131 + 0.120648i
\(586\) −42.6348 + 20.5318i −1.76123 + 0.848161i
\(587\) 29.3343 + 9.04842i 1.21075 + 0.373468i 0.833437 0.552615i \(-0.186370\pi\)
0.377318 + 0.926084i \(0.376846\pi\)
\(588\) 9.56199 + 24.3635i 0.394330 + 1.00474i
\(589\) 3.12212 2.12863i 0.128645 0.0877086i
\(590\) −25.5220 3.84683i −1.05073 0.158371i
\(591\) 3.50233 15.3447i 0.144066 0.631196i
\(592\) −7.46054 5.08651i −0.306626 0.209054i
\(593\) −2.70312 2.50813i −0.111004 0.102997i 0.622718 0.782446i \(-0.286028\pi\)
−0.733722 + 0.679449i \(0.762219\pi\)
\(594\) 6.33894 + 3.05267i 0.260090 + 0.125253i
\(595\) −1.69763 + 2.94038i −0.0695959 + 0.120544i
\(596\) 26.3739 + 45.6809i 1.08032 + 1.87116i
\(597\) 0.519186 + 6.92805i 0.0212489 + 0.283546i
\(598\) −3.99817 17.5171i −0.163497 0.716329i
\(599\) 11.9286 30.3935i 0.487388 1.24184i −0.449834 0.893112i \(-0.648517\pi\)
0.937222 0.348732i \(-0.113388\pi\)
\(600\) −37.3956 + 46.8926i −1.52667 + 1.91438i
\(601\) −33.8084 −1.37907 −0.689536 0.724251i \(-0.742186\pi\)
−0.689536 + 0.724251i \(0.742186\pi\)
\(602\) 3.40997 + 34.9921i 0.138980 + 1.42617i
\(603\) −1.00110 −0.0407678
\(604\) −29.0586 + 36.4383i −1.18238 + 1.48265i
\(605\) −3.61508 + 9.21108i −0.146974 + 0.374484i
\(606\) −5.48412 24.0275i −0.222777 0.976051i
\(607\) −1.39787 18.6532i −0.0567376 0.757111i −0.950926 0.309419i \(-0.899865\pi\)
0.894188 0.447691i \(-0.147754\pi\)
\(608\) −50.7582 87.9157i −2.05852 3.56545i
\(609\) −7.33611 + 12.7065i −0.297274 + 0.514894i
\(610\) 12.8003 + 6.16428i 0.518267 + 0.249584i
\(611\) 19.9894 + 18.5474i 0.808683 + 0.750348i
\(612\) −8.04105 5.48230i −0.325040 0.221609i
\(613\) −4.20791 + 18.4361i −0.169956 + 0.744626i 0.816059 + 0.577969i \(0.196154\pi\)
−0.986015 + 0.166657i \(0.946703\pi\)
\(614\) 57.5314 + 8.67146i 2.32178 + 0.349952i
\(615\) −0.195440 + 0.133249i −0.00788090 + 0.00537311i
\(616\) −3.19304 8.13573i −0.128651 0.327798i
\(617\) −24.4540 7.54305i −0.984479 0.303672i −0.239601 0.970872i \(-0.577017\pi\)
−0.744879 + 0.667200i \(0.767493\pi\)
\(618\) −34.2843 + 16.5105i −1.37912 + 0.664148i
\(619\) −3.08108 + 41.1142i −0.123839 + 1.65252i 0.496392 + 0.868099i \(0.334658\pi\)
−0.620231 + 0.784419i \(0.712961\pi\)
\(620\) 4.73358 0.713473i 0.190105 0.0286538i
\(621\) 7.68434 7.13002i 0.308362 0.286118i
\(622\) −16.9886 + 5.24029i −0.681181 + 0.210116i
\(623\) 0.475570 + 0.596346i 0.0190533 + 0.0238921i
\(624\) −51.5541 64.6468i −2.06381 2.58794i
\(625\) 12.5235 3.86300i 0.500941 0.154520i
\(626\) 13.9442 12.9383i 0.557321 0.517119i
\(627\) −2.61935 + 0.394803i −0.104607 + 0.0157669i
\(628\) −4.09069 + 54.5864i −0.163236 + 2.17824i
\(629\) 0.952352 0.458629i 0.0379728 0.0182867i
\(630\) 4.26973 + 1.31704i 0.170110 + 0.0524720i
\(631\) 8.41507 + 21.4412i 0.334998 + 0.853562i 0.994774 + 0.102100i \(0.0325560\pi\)
−0.659776 + 0.751463i \(0.729349\pi\)
\(632\) 18.6384 12.7074i 0.741394 0.505474i
\(633\) −28.5090 4.29704i −1.13313 0.170792i
\(634\) 0.702979 3.07995i 0.0279189 0.122321i
\(635\) −9.96405 6.79337i −0.395411 0.269587i
\(636\) −61.3805 56.9528i −2.43390 2.25832i
\(637\) 10.2007 + 4.91240i 0.404167 + 0.194637i
\(638\) −3.25007 + 5.62929i −0.128672 + 0.222866i
\(639\) −2.57692 4.46336i −0.101941 0.176568i
\(640\) −3.45493 46.1028i −0.136568 1.82237i
\(641\) −7.22296 31.6459i −0.285290 1.24994i −0.890909 0.454182i \(-0.849932\pi\)
0.605619 0.795755i \(-0.292926\pi\)
\(642\) −6.61296 + 16.8495i −0.260993 + 0.664998i
\(643\) 25.0195 31.3734i 0.986671 1.23725i 0.0152498 0.999884i \(-0.495146\pi\)
0.971421 0.237362i \(-0.0762829\pi\)
\(644\) −20.2287 −0.797121
\(645\) 7.28751 + 4.73357i 0.286946 + 0.186384i
\(646\) 21.3652 0.840602
\(647\) 0.798384 1.00114i 0.0313877 0.0393590i −0.765890 0.642972i \(-0.777701\pi\)
0.797278 + 0.603613i \(0.206273\pi\)
\(648\) 19.8365 50.5427i 0.779253 1.98550i
\(649\) 1.02446 + 4.48844i 0.0402134 + 0.176187i
\(650\) 3.01200 + 40.1923i 0.118140 + 1.57647i
\(651\) −1.30704 2.26385i −0.0512268 0.0887274i
\(652\) −6.27159 + 10.8627i −0.245614 + 0.425416i
\(653\) 15.6506 + 7.53694i 0.612456 + 0.294943i 0.714281 0.699859i \(-0.246754\pi\)
−0.101825 + 0.994802i \(0.532468\pi\)
\(654\) 46.8452 + 43.4660i 1.83179 + 1.69966i
\(655\) 2.30453 + 1.57120i 0.0900455 + 0.0613920i
\(656\) −0.646875 + 2.83414i −0.0252562 + 0.110655i
\(657\) 12.7550 + 1.92250i 0.497619 + 0.0750040i
\(658\) 34.4027 23.4554i 1.34116 0.914385i
\(659\) −14.1869 36.1477i −0.552645 1.40812i −0.885279 0.465060i \(-0.846033\pi\)
0.332635 0.943056i \(-0.392062\pi\)
\(660\) −3.20670 0.989137i −0.124821 0.0385021i
\(661\) −31.3625 + 15.1034i −1.21986 + 0.587454i −0.929273 0.369395i \(-0.879565\pi\)
−0.290587 + 0.956848i \(0.593851\pi\)
\(662\) 2.03709 27.1831i 0.0791739 1.05650i
\(663\) 9.57147 1.44267i 0.371725 0.0560285i
\(664\) 102.359 94.9751i 3.97229 3.68575i
\(665\) −6.91119 + 2.13182i −0.268005 + 0.0826685i
\(666\) −0.867324 1.08759i −0.0336081 0.0421432i
\(667\) 6.03833 + 7.57182i 0.233805 + 0.293182i
\(668\) −125.102 + 38.5887i −4.84032 + 1.49304i
\(669\) −1.57809 + 1.46425i −0.0610124 + 0.0566112i
\(670\) 2.75309 0.414961i 0.106361 0.0160314i
\(671\) 0.189380 2.52710i 0.00731094 0.0975577i
\(672\) −63.2730 + 30.4707i −2.44081 + 1.17543i
\(673\) 20.4975 + 6.32264i 0.790120 + 0.243720i 0.663446 0.748225i \(-0.269093\pi\)
0.126675 + 0.991944i \(0.459570\pi\)
\(674\) 23.3515 + 59.4987i 0.899467 + 2.29181i
\(675\) −19.4288 + 13.2463i −0.747814 + 0.509851i
\(676\) 3.72412 + 0.561321i 0.143236 + 0.0215893i
\(677\) −8.90216 + 39.0029i −0.342138 + 1.49900i 0.452414 + 0.891808i \(0.350563\pi\)
−0.794552 + 0.607196i \(0.792294\pi\)
\(678\) 42.8572 + 29.2196i 1.64592 + 1.12217i
\(679\) −24.0875 22.3499i −0.924393 0.857711i
\(680\) 15.6980 + 7.55974i 0.601989 + 0.289903i
\(681\) −17.8371 + 30.8948i −0.683519 + 1.18389i
\(682\) −0.579047 1.00294i −0.0221729 0.0384045i
\(683\) 0.0581079 + 0.775395i 0.00222344 + 0.0296697i 0.998205 0.0598870i \(-0.0190740\pi\)
−0.995982 + 0.0895567i \(0.971455\pi\)
\(684\) −4.61312 20.2114i −0.176387 0.772803i
\(685\) −4.06505 + 10.3576i −0.155317 + 0.395742i
\(686\) 34.1789 42.8589i 1.30496 1.63636i
\(687\) −22.3087 −0.851129
\(688\) 105.222 18.2725i 4.01154 0.696634i
\(689\) −36.2215 −1.37993
\(690\) −4.22800 + 5.30175i −0.160957 + 0.201834i
\(691\) −13.6014 + 34.6557i −0.517420 + 1.31836i 0.398561 + 0.917142i \(0.369510\pi\)
−0.915981 + 0.401223i \(0.868585\pi\)
\(692\) 1.91686 + 8.39830i 0.0728680 + 0.319256i
\(693\) −0.0595610 0.794786i −0.00226253 0.0301914i
\(694\) −23.0480 39.9204i −0.874891 1.51536i
\(695\) 2.05930 3.56681i 0.0781136 0.135297i
\(696\) 67.8370 + 32.6686i 2.57136 + 1.23830i
\(697\) −0.249464 0.231468i −0.00944911 0.00876749i
\(698\) 46.8408 + 31.9356i 1.77295 + 1.20878i
\(699\) 6.59624 28.9000i 0.249493 1.09310i
\(700\) 44.8701 + 6.76308i 1.69593 + 0.255620i
\(701\) 32.1515 21.9205i 1.21434 0.827926i 0.225119 0.974331i \(-0.427723\pi\)
0.989225 + 0.146405i \(0.0467704\pi\)
\(702\) −20.0082 50.9800i −0.755160 1.92412i
\(703\) 2.15163 + 0.663691i 0.0811504 + 0.0250316i
\(704\) −14.7933 + 7.12408i −0.557544 + 0.268499i
\(705\) 0.769086 10.2627i 0.0289655 0.386517i
\(706\) 27.4968 4.14448i 1.03486 0.155979i
\(707\) −8.79870 + 8.16400i −0.330909 + 0.307039i
\(708\) 79.1621 24.4183i 2.97509 0.917695i
\(709\) 4.24430 + 5.32218i 0.159398 + 0.199879i 0.855117 0.518436i \(-0.173485\pi\)
−0.695719 + 0.718314i \(0.744914\pi\)
\(710\) 8.93682 + 11.2064i 0.335393 + 0.420570i
\(711\) 1.96574 0.606351i 0.0737210 0.0227399i
\(712\) 2.86933 2.66235i 0.107533 0.0997758i
\(713\) −1.70620 + 0.257169i −0.0638978 + 0.00963105i
\(714\) 1.10452 14.7388i 0.0413357 0.551587i
\(715\) −1.30790 + 0.629853i −0.0489128 + 0.0235552i
\(716\) −35.0236 10.8034i −1.30889 0.403740i
\(717\) −6.81030 17.3524i −0.254335 0.648036i
\(718\) −34.7492 + 23.6916i −1.29683 + 0.884162i
\(719\) −9.10645 1.37258i −0.339613 0.0511885i −0.0229784 0.999736i \(-0.507315\pi\)
−0.316635 + 0.948547i \(0.602553\pi\)
\(720\) 3.02024 13.2325i 0.112558 0.493148i
\(721\) 15.3122 + 10.4397i 0.570258 + 0.388795i
\(722\) −5.06897 4.70332i −0.188647 0.175039i
\(723\) −9.90183 4.76847i −0.368253 0.177341i
\(724\) −53.4833 + 92.6357i −1.98769 + 3.44278i
\(725\) −10.8624 18.8142i −0.403419 0.698742i
\(726\) −3.21901 42.9547i −0.119469 1.59420i
\(727\) −4.20129 18.4071i −0.155817 0.682680i −0.991129 0.132904i \(-0.957570\pi\)
0.835312 0.549777i \(-0.185287\pi\)
\(728\) −24.8546 + 63.3284i −0.921171 + 2.34711i
\(729\) 18.3748 23.0413i 0.680548 0.853380i
\(730\) −35.8741 −1.32776
\(731\) −4.30636 + 11.7369i −0.159276 + 0.434106i
\(732\) −45.6005 −1.68544
\(733\) 14.2106 17.8195i 0.524880 0.658178i −0.446757 0.894655i \(-0.647421\pi\)
0.971637 + 0.236477i \(0.0759927\pi\)
\(734\) 11.8844 30.2810i 0.438662 1.11769i
\(735\) −0.950839 4.16590i −0.0350722 0.153661i
\(736\) 3.46414 + 46.2258i 0.127690 + 1.70390i
\(737\) −0.248312 0.430089i −0.00914669 0.0158425i
\(738\) −0.223927 + 0.387853i −0.00824287 + 0.0142771i
\(739\) −21.1790 10.1993i −0.779083 0.375187i 0.00169199 0.999999i \(-0.499461\pi\)
−0.780775 + 0.624812i \(0.785176\pi\)
\(740\) 2.09104 + 1.94020i 0.0768682 + 0.0713233i
\(741\) 17.0364 + 11.6152i 0.625849 + 0.426697i
\(742\) −12.3072 + 53.9215i −0.451813 + 1.97952i
\(743\) 27.3290 + 4.11919i 1.00260 + 0.151118i 0.629772 0.776780i \(-0.283148\pi\)
0.372833 + 0.927899i \(0.378387\pi\)
\(744\) −11.0837 + 7.55672i −0.406347 + 0.277043i
\(745\) −3.14621 8.01642i −0.115268 0.293699i
\(746\) 32.0753 + 9.89393i 1.17436 + 0.362242i
\(747\) 11.4726 5.52490i 0.419759 0.202145i
\(748\) 0.360791 4.81442i 0.0131918 0.176032i
\(749\) 8.71699 1.31388i 0.318512 0.0480079i
\(750\) 24.5533 22.7821i 0.896560 0.831886i
\(751\) −19.8284 + 6.11625i −0.723549 + 0.223185i −0.634589 0.772850i \(-0.718831\pi\)
−0.0889600 + 0.996035i \(0.528354\pi\)
\(752\) −78.8589 98.8859i −2.87569 3.60600i
\(753\) −14.4180 18.0796i −0.525422 0.658858i
\(754\) 48.3491 14.9137i 1.76077 0.543126i
\(755\) 5.57783 5.17547i 0.202998 0.188355i
\(756\) −60.9688 + 9.18956i −2.21741 + 0.334221i
\(757\) −1.60398 + 21.4036i −0.0582975 + 0.777926i 0.889069 + 0.457774i \(0.151353\pi\)
−0.947366 + 0.320152i \(0.896266\pi\)
\(758\) −20.0720 + 9.66618i −0.729049 + 0.351091i
\(759\) 1.15584 + 0.356531i 0.0419545 + 0.0129412i
\(760\) 13.5597 + 34.5494i 0.491860 + 1.25324i
\(761\) 9.83792 6.70738i 0.356624 0.243142i −0.371733 0.928340i \(-0.621236\pi\)
0.728357 + 0.685197i \(0.240284\pi\)
\(762\) 51.9110 + 7.82432i 1.88054 + 0.283445i
\(763\) 6.92547 30.3425i 0.250719 1.09847i
\(764\) −74.3970 50.7230i −2.69159 1.83509i
\(765\) 1.16474 + 1.08072i 0.0421112 + 0.0390735i
\(766\) −64.6590 31.1381i −2.33622 1.12507i
\(767\) 17.9182 31.0353i 0.646989 1.12062i
\(768\) 47.9980 + 83.1349i 1.73198 + 2.99987i
\(769\) 2.45417 + 32.7486i 0.0884996 + 1.18094i 0.847840 + 0.530252i \(0.177903\pi\)
−0.759341 + 0.650693i \(0.774478\pi\)
\(770\) 0.493242 + 2.16103i 0.0177752 + 0.0778782i
\(771\) 1.42637 3.63433i 0.0513694 0.130887i
\(772\) −21.9476 +