Properties

Label 43.2.g.a.23.1
Level $43$
Weight $2$
Character 43.23
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 23.1
Character \(\chi\) \(=\) 43.23
Dual form 43.2.g.a.15.1

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36 q - 10 q^{2} - 16 q^{3} - 18 q^{4} - 17 q^{5} - 4 q^{6} + 6 q^{7} + 18 q^{8} - q^{9} + O(q^{10}) \) \( 36 q - 10 q^{2} - 16 q^{3} - 18 q^{4} - 17 q^{5} - 4 q^{6} + 6 q^{7} + 18 q^{8} - q^{9} - 7 q^{10} - 4 q^{11} + 2 q^{12} + 18 q^{14} - 3 q^{15} - 10 q^{16} - 10 q^{17} + 11 q^{18} + 10 q^{19} - 3 q^{20} - 21 q^{21} - 3 q^{22} + 4 q^{23} + 31 q^{24} - 2 q^{25} - 15 q^{26} - 4 q^{27} + 20 q^{28} + 9 q^{29} + 88 q^{30} + 40 q^{31} + 48 q^{32} - 11 q^{33} - 42 q^{34} + 11 q^{35} - 47 q^{36} - 19 q^{37} - 21 q^{38} - q^{39} - 97 q^{40} - 28 q^{41} + 2 q^{42} - 8 q^{43} + 14 q^{44} - 46 q^{45} - 61 q^{46} - 30 q^{47} - 97 q^{48} + 6 q^{49} - 3 q^{50} + 57 q^{51} - 8 q^{52} - 24 q^{53} + 6 q^{54} + 14 q^{55} + 39 q^{56} + 52 q^{57} + 64 q^{58} - q^{59} + 111 q^{60} - 14 q^{61} + 33 q^{62} + 47 q^{63} + 48 q^{64} + 38 q^{65} + 79 q^{66} + 66 q^{67} + 66 q^{68} - 7 q^{69} + 47 q^{70} - 33 q^{71} + 26 q^{72} + 29 q^{73} - 40 q^{74} - 55 q^{75} - 39 q^{76} - 27 q^{77} - 126 q^{78} - 17 q^{79} + 8 q^{80} + 38 q^{81} - 54 q^{82} - 23 q^{83} - 155 q^{84} - 56 q^{85} - 45 q^{86} - 86 q^{87} - 17 q^{88} - 19 q^{89} - 127 q^{90} - 13 q^{91} - 18 q^{92} - 30 q^{93} + 44 q^{94} + q^{95} - 36 q^{96} - 31 q^{97} - 5 q^{98} - 31 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\)

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 −0.780051 0.625716i \(-0.784807\pi\)
−0.436450 0.899729i \(-0.643764\pi\)
\(3\) −0.528255 1.34597i −0.304988 0.777097i −0.998399 0.0565549i \(-0.981988\pi\)
0.693412 0.720542i \(-0.256107\pi\)
\(4\) −1.24917 + 5.47296i −0.624584 + 2.73648i
\(5\) 0.0684907 0.913945i 0.0306300 0.408729i −0.960723 0.277508i \(-0.910491\pi\)
0.991353 0.131220i \(-0.0418895\pi\)
\(6\) −1.99486 + 3.45520i −0.814399 + 1.41058i
\(7\) −0.971539 1.68276i −0.367207 0.636022i 0.621920 0.783080i \(-0.286353\pi\)
−0.989128 + 0.147059i \(0.953019\pi\)
\(8\) 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 0.957539 0.288305i \(-0.0930918\pi\)
−0.987803 + 0.155706i \(0.950235\pi\)
\(12\) 8.02633 1.20977i 2.31700 0.349232i
\(13\) 2.90116 + 1.97798i 0.804637 + 0.548592i 0.894346 0.447376i \(-0.147641\pi\)
−0.0897094 + 0.995968i \(0.528594\pi\)
\(14\) −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 0.987463 + 0.157850i \(0.0504563\pi\)
−0.952908 + 0.303261i \(0.901925\pi\)
\(18\) −2.48103 0.373955i −0.584784 0.0881420i
\(19\) 2.97713 + 2.76237i 0.683000 + 0.633731i 0.943356 0.331781i \(-0.107650\pi\)
−0.260357 + 0.965513i \(0.583840\pi\)
\(20\) 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 0.104438 0.994531i \(-0.466696\pi\)
−0.473949 + 0.880553i \(0.657172\pi\)
\(24\) −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 0.636980 + 0.770880i \(0.280183\pi\)
−0.991271 + 0.131839i \(0.957912\pi\)
\(30\) 3.02124 + 2.05984i 0.551600 + 0.376074i
\(31\) 0.920034 0.138673i 0.165243 0.0249064i −0.0658996 0.997826i \(-0.520992\pi\)
0.231143 + 0.972920i \(0.425754\pi\)
\(32\) 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 −0.842339 0.538948i \(-0.818822\pi\)
0.887912 + 0.460013i \(0.152155\pi\)
\(38\) 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 0.790446 0.612532i \(-0.209849\pi\)
−0.773065 + 0.634327i \(0.781277\pi\)
\(42\) 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 −0.677436 0.735581i \(-0.736909\pi\)
0.929506 0.368807i \(-0.120234\pi\)
\(48\) −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 −0.982928 0.183989i \(-0.941099\pi\)
−0.187834 + 0.982201i \(0.560147\pi\)
\(54\) 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 0.922857 0.385142i \(-0.125848\pi\)
0.274276 + 0.961651i \(0.411562\pi\)
\(60\) −0.555938 7.41848i −0.0717713 0.957722i
\(61\) −5.55516 0.837306i −0.711266 0.107206i −0.216563 0.976269i \(-0.569485\pi\)
−0.494702 + 0.869063i \(0.664723\pi\)
\(62\) −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 0.629335 0.777134i \(-0.283327\pi\)
−0.727931 + 0.685650i \(0.759518\pi\)
\(68\) −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 −0.598968 0.800773i \(-0.704422\pi\)
−0.0437996 + 0.999040i \(0.513946\pi\)
\(72\) 3.31254 8.44022i 0.390387 0.994690i
\(73\) 11.7207 + 7.99101i 1.37180 + 0.935277i 0.999976 + 0.00697295i \(0.00221958\pi\)
0.371823 + 0.928304i \(0.378733\pi\)
\(74\) −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 0.922616 0.385720i \(-0.126047\pi\)
−0.795351 + 0.606149i \(0.792714\pi\)
\(80\) −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 0.876349 + 0.481676i \(0.159972\pi\)
−0.314786 + 0.949163i \(0.601933\pi\)
\(84\) −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 0.938273 0.345895i \(-0.112425\pi\)
−0.923071 + 0.384629i \(0.874329\pi\)
\(90\) −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 −0.690963 0.722891i \(-0.742813\pi\)
0.308885 0.951099i \(-0.400044\pi\)
\(98\) −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 0.0131846 0.999913i \(-0.495803\pi\)
0.574165 + 0.818740i \(0.305327\pi\)
\(102\) −6.85328 3.30037i −0.678576 0.326785i
\(103\) 0.712752 + 9.51101i 0.0702295 + 0.937148i 0.915373 + 0.402608i \(0.131896\pi\)
−0.845143 + 0.534540i \(0.820485\pi\)
\(104\) 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 −0.899530 0.436860i \(-0.856091\pi\)
0.626071 + 0.779766i \(0.284662\pi\)
\(108\) 19.7845 24.8089i 1.90376 2.38724i
\(109\) −15.3056 4.72117i −1.46601 0.452206i −0.543909 0.839144i \(-0.683056\pi\)
−0.922106 + 0.386939i \(0.873533\pi\)
\(110\) 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 −0.207652 0.978203i \(-0.566582\pi\)
−0.894258 + 0.447551i \(0.852296\pi\)
\(114\) −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 0.270777 0.962642i \(-0.412719\pi\)
−0.998760 + 0.0497798i \(0.984148\pi\)
\(128\) −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 0.857782 0.514014i \(-0.171842\pi\)
−0.692001 + 0.721897i \(0.743271\pi\)
\(132\) −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 0.0962759 0.995355i \(-0.469307\pi\)
0.838227 + 0.545322i \(0.183593\pi\)
\(138\) 5.42381 5.03256i 0.461705 0.428400i
\(139\) −3.71295 + 2.53144i −0.314928 + 0.214714i −0.710459 0.703738i \(-0.751513\pi\)
0.395531 + 0.918452i \(0.370560\pi\)
\(140\) −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 −0.0957367 0.995407i \(-0.530521\pi\)
−0.639834 + 0.768513i \(0.720997\pi\)
\(150\) −10.3483 + 12.9763i −0.844931 + 1.05951i
\(151\) −5.17636 + 6.49094i −0.421246 + 0.528226i −0.946493 0.322724i \(-0.895401\pi\)
0.525247 + 0.850950i \(0.323973\pi\)
\(152\) 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 −0.643348 0.765574i \(-0.722455\pi\)
−0.100296 + 0.994958i \(0.531979\pi\)
\(158\) 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 −0.741709 0.670721i \(-0.765985\pi\)
0.613418 + 0.789759i \(0.289794\pi\)
\(164\) −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 0.362431 + 0.932011i \(0.381947\pi\)
−0.497292 + 0.867583i \(0.665672\pi\)
\(168\) −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 0.961850 0.273577i \(-0.0882068\pi\)
−0.717850 + 0.696198i \(0.754873\pi\)
\(180\) 4.21510 2.02988i 0.314175 0.151299i
\(181\) −13.9680 + 12.9604i −1.03823 + 0.963336i −0.999355 0.0359077i \(-0.988568\pi\)
−0.0388746 + 0.999244i \(0.512377\pi\)
\(182\) −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 0.979325 0.202294i \(-0.0648397\pi\)
−0.128544 + 0.991704i \(0.541030\pi\)
\(192\) −50.2922 15.5131i −3.62952 1.11956i
\(193\) −3.90963 + 4.90253i −0.281422 + 0.352892i −0.902372 0.430959i \(-0.858176\pi\)
0.620950 + 0.783850i \(0.286747\pi\)
\(194\) −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 −0.246062 0.969254i \(-0.579137\pi\)
−0.520822 + 0.853665i \(0.674375\pi\)
\(198\) 0.0845803 + 1.12865i 0.00601086 + 0.0802094i
\(199\) 4.32905 + 2.08476i 0.306878 + 0.147785i 0.580984 0.813915i \(-0.302668\pi\)
−0.274106 + 0.961699i \(0.588382\pi\)
\(200\) 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 −0.556313 0.830973i \(-0.687785\pi\)
0.861766 0.507305i \(-0.169358\pi\)
\(212\) −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 −0.388431 0.921478i \(-0.626983\pi\)
0.478258 + 0.878219i \(0.341268\pi\)
\(224\) 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 0.724067 0.689730i \(-0.242271\pi\)
0.895200 + 0.445665i \(0.147033\pi\)
\(228\) 27.2372 + 18.5700i 1.80383 + 1.22983i
\(229\) 5.63673 14.3622i 0.372486 0.949078i −0.614594 0.788844i \(-0.710680\pi\)
0.987079 0.160234i \(-0.0512248\pi\)
\(230\) 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 −0.553606 0.832779i \(-0.686749\pi\)
−0.774476 + 0.632603i \(0.781987\pi\)
\(234\) −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 0.312573 0.949894i \(-0.398809\pi\)
−0.923879 + 0.382685i \(0.875000\pi\)
\(240\) 21.3415 + 3.21672i 1.37759 + 0.207638i
\(241\) −0.568011 7.57957i −0.0365888 0.488243i −0.985155 0.171665i \(-0.945085\pi\)
0.948567 0.316578i \(-0.102534\pi\)
\(242\) −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 −0.999985 0.00547772i \(-0.998256\pi\)
0.495249 0.868751i \(-0.335077\pi\)
\(252\) 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 −0.777048 0.629442i \(-0.783284\pi\)
0.862182 0.506599i \(-0.169097\pi\)
\(264\) −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 −0.983740 0.179596i \(-0.942521\pi\)
0.808395 0.588640i \(-0.200336\pi\)
\(270\) 14.1352 2.13054i 0.860239 0.129660i
\(271\) −12.7456 8.68981i −0.774240 0.527868i 0.110543 0.993871i \(-0.464741\pi\)
−0.884783 + 0.466003i \(0.845694\pi\)
\(272\) 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 0.999785 0.0207410i \(-0.00660253\pi\)
0.0540310 + 0.998539i \(0.482793\pi\)
\(278\) 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 0.564990 0.825097i \(-0.308880\pi\)
0.00202302 + 0.999998i \(0.499356\pi\)
\(282\) 22.7131 + 21.0747i 1.35254 + 1.25498i
\(283\) 13.7960 + 2.07941i 0.820084 + 0.123608i 0.545666 0.838003i \(-0.316277\pi\)
0.274418 + 0.961610i \(0.411515\pi\)
\(284\) −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 0.0758211 0.997121i \(-0.475842\pi\)
0.826855 + 0.562416i \(0.190128\pi\)
\(294\) 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 0.390855 + 0.920452i \(0.372179\pi\)
−0.992563 + 0.121736i \(0.961154\pi\)
\(308\) −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 −0.402906 0.915242i \(-0.632000\pi\)
0.704776 + 0.709430i \(0.251047\pi\)
\(312\) −11.2650 49.3554i −0.637758 2.79420i
\(313\) −6.81682 + 1.02747i −0.385310 + 0.0580761i −0.338841 0.940844i \(-0.610035\pi\)
−0.0464687 + 0.998920i \(0.514797\pi\)
\(314\) 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 0.404691 0.914453i \(-0.367379\pi\)
−0.462628 + 0.886553i \(0.653093\pi\)
\(318\) −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 0.317835 0.948146i \(-0.397044\pi\)
−0.766486 + 0.642261i \(0.777997\pi\)
\(332\) −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 0.987364 + 0.158468i \(0.0506554\pi\)
−0.356445 + 0.934316i \(0.616011\pi\)
\(338\) −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 −0.995864 0.0908560i \(-0.971040\pi\)
0.668222 0.743962i \(-0.267056\pi\)
\(348\) −9.43249 + 41.3264i −0.505635 + 2.21533i
\(349\) −1.53538 + 20.4883i −0.0821871 + 1.09671i 0.791806 + 0.610773i \(0.209141\pi\)
−0.873993 + 0.485938i \(0.838478\pi\)
\(350\) −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 −0.851853 0.523781i \(-0.824521\pi\)
0.458657 + 0.888613i \(0.348331\pi\)
\(354\) −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 0.114489 0.993424i \(-0.463477\pi\)
0.654211 + 0.756312i \(0.273001\pi\)
\(360\) −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 −0.0135684 0.999908i \(-0.504319\pi\)
−0.574479 + 0.818519i \(0.694795\pi\)
\(368\) 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 −0.998563 0.0535823i \(-0.982936\pi\)
0.768444 + 0.639917i \(0.221031\pi\)
\(374\) −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 −0.237624 0.971357i \(-0.576369\pi\)
0.611281 + 0.791413i \(0.290654\pi\)
\(380\) 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 −0.580693 0.814123i \(-0.697218\pi\)
0.876421 0.481546i \(-0.159925\pi\)
\(384\) 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 0.720569 0.693383i \(-0.243881\pi\)
−0.836340 + 0.548211i \(0.815309\pi\)
\(390\) 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 0.113620 0.993524i \(-0.463755\pi\)
0.966356 + 0.257209i \(0.0828028\pi\)
\(398\) −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 −0.999771 0.0214185i \(-0.993182\pi\)
0.747452 + 0.664316i \(0.231277\pi\)
\(402\) 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 −0.666049 0.745908i \(-0.732016\pi\)
0.875416 + 0.483370i \(0.160587\pi\)
\(410\) −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 0.997460 + 0.0712267i \(0.0226914\pi\)
−0.867776 + 0.496955i \(0.834451\pi\)
\(420\) −11.9434 + 8.14285i −0.582777 + 0.397331i
\(421\) −5.95716 + 5.52743i −0.290334 + 0.269391i −0.811869 0.583839i \(-0.801550\pi\)
0.521535 + 0.853230i \(0.325359\pi\)
\(422\) −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 0.992909 0.118878i \(-0.0379298\pi\)
−0.808711 + 0.588206i \(0.799835\pi\)
\(434\) −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 −0.135633 0.990759i \(-0.543307\pi\)
0.977853 + 0.209293i \(0.0671163\pi\)
\(440\) −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 0.165555 0.986201i \(-0.447059\pi\)
−0.857544 + 0.514410i \(0.828011\pi\)
\(444\) 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 0.168759 0.985657i \(-0.446024\pi\)
−0.970290 + 0.241945i \(0.922214\pi\)
\(450\) −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 −0.109386 0.993999i \(-0.534889\pi\)
−0.845341 + 0.534227i \(0.820603\pi\)
\(458\) −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 0.520781 0.853690i \(-0.325641\pi\)
0.749274 + 0.662260i \(0.230403\pi\)
\(462\) −0.778159 3.40934i −0.0362032 0.158617i
\(463\) 8.81026 6.00673i 0.409447 0.279156i −0.341030 0.940052i \(-0.610776\pi\)
0.750478 + 0.660896i \(0.229823\pi\)
\(464\) 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 −0.918592 0.395207i \(-0.870673\pi\)
0.801555 + 0.597921i \(0.204006\pi\)
\(468\) −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 −0.132726 0.991153i \(-0.542373\pi\)
0.924726 0.380633i \(-0.124294\pi\)
\(480\) −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 0.583199 + 0.812330i \(0.301801\pi\)
−0.980039 + 0.198804i \(0.936294\pi\)
\(488\) −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 0.204872 0.978789i \(-0.434322\pi\)
−0.0927327 + 0.995691i \(0.529560\pi\)
\(492\) 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 0.962839 + 0.270076i \(0.0870487\pi\)
−0.911832 + 0.410563i \(0.865332\pi\)
\(500\) 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 0.603832 0.797112i \(-0.293640\pi\)
−0.521406 + 0.853309i \(0.674592\pi\)
\(504\) −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 −0.931484 0.363782i \(-0.881485\pi\)
0.150698 0.988580i \(-0.451848\pi\)
\(510\) −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 0.270799 + 0.962636i \(0.412712\pi\)
−0.411247 + 0.911524i \(0.634907\pi\)
\(522\) 6.55150 11.3475i 0.286751 0.496668i
\(523\) 7.69902 + 13.3351i 0.336655 + 0.583103i 0.983801 0.179263i \(-0.0573712\pi\)
−0.647147 + 0.762366i \(0.724038\pi\)
\(524\) −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 0.799516 0.600645i \(-0.205090\pi\)
0.586952 + 0.809622i \(0.300328\pi\)
\(542\) 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 −0.245804 0.969320i \(-0.579052\pi\)
0.0508287 + 0.998707i \(0.483814\pi\)
\(548\) 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 0.836070 0.548623i \(-0.184848\pi\)
−0.720911 + 0.693028i \(0.756276\pi\)
\(558\) −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 0.659306 + 0.751875i \(0.270850\pi\)
−0.920240 + 0.391354i \(0.872007\pi\)
\(564\) 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 −0.541220 0.840881i \(-0.682037\pi\)
0.585024 + 0.811016i \(0.301085\pi\)
\(570\) 3.30455 + 14.4782i 0.138412 + 0.606425i
\(571\) −20.4623 + 3.08420i −0.856322 + 0.129070i −0.562507 0.826792i \(-0.690163\pi\)
−0.293815 + 0.955862i \(0.594925\pi\)
\(572\) 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 −0.0922528 0.995736i \(-0.529407\pi\)
−0.381653 + 0.924306i \(0.624645\pi\)
\(578\) −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 0.377318 0.926084i \(-0.376846\pi\)
0.833437 + 0.552615i \(0.186370\pi\)
\(588\) 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 −0.733722 0.679449i \(-0.762219\pi\)
0.622718 + 0.782446i \(0.286028\pi\)
\(594\) 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 0.937222 + 0.348732i \(0.113388\pi\)
−0.449834 + 0.893112i \(0.648517\pi\)
\(600\) −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 0.894188 + 0.447691i \(0.147754\pi\)
−0.950926 + 0.309419i \(0.899865\pi\)
\(608\) −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 −0.986015 0.166657i \(-0.946703\pi\)
0.816059 0.577969i \(-0.196154\pi\)
\(614\) 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 −0.744879 0.667200i \(-0.767493\pi\)
−0.239601 + 0.970872i \(0.577017\pi\)
\(618\) −34.2843 16.5105i −1.37912 0.664148i
\(619\) −3.08108 41.1142i −0.123839 1.65252i −0.620231 0.784419i \(-0.712961\pi\)
0.496392 0.868099i \(-0.334658\pi\)
\(620\) 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 −0.659776 0.751463i \(-0.729349\pi\)
0.994774 0.102100i \(-0.0325560\pi\)
\(632\) 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 0.605619 + 0.795755i \(0.292926\pi\)
−0.890909 + 0.454182i \(0.849932\pi\)
\(642\) −6.61296 16.8495i −0.260993 0.664998i
\(643\) 25.0195 + 31.3734i 0.986671 + 1.23725i 0.971421 + 0.237362i \(0.0762829\pi\)
0.0152498 + 0.999884i \(0.495146\pi\)
\(644\) −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 0.797278 0.603613i \(-0.206273\pi\)
−0.765890 + 0.642972i \(0.777701\pi\)
\(648\) 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 −0.101825 0.994802i \(-0.532468\pi\)
0.714281 + 0.699859i \(0.246754\pi\)
\(654\) 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 0.332635 + 0.943056i \(0.392062\pi\)
−0.885279 + 0.465060i \(0.846033\pi\)
\(660\) −3.20670 + 0.989137i −0.124821 + 0.0385021i
\(661\) −31.3625 15.1034i −1.21986 0.587454i −0.290587 0.956848i \(-0.593851\pi\)
−0.929273 + 0.369395i \(0.879565\pi\)
\(662\) 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 0.126675 0.991944i \(-0.459570\pi\)
0.663446 + 0.748225i \(0.269093\pi\)
\(674\) 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 −0.794552 0.607196i \(-0.792294\pi\)
0.452414 0.891808i \(-0.350563\pi\)
\(678\) 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 −0.995982 0.0895567i \(-0.971455\pi\)
0.998205 + 0.0598870i \(0.0190740\pi\)
\(684\) −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 −0.915981 0.401223i \(-0.868585\pi\)
0.398561 0.917142i \(-0.369510\pi\)
\(692\) 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 0.989225 0.146405i \(-0.0467704\pi\)
0.225119 + 0.974331i \(0.427723\pi\)
\(702\) −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 −0.695719 0.718314i \(-0.744914\pi\)
0.855117 + 0.518436i \(0.173485\pi\)
\(710\) 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 −0.316635 0.948547i \(-0.602553\pi\)
−0.0229784 + 0.999736i \(0.507315\pi\)
\(720\) 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 0.835312 + 0.549777i \(0.185287\pi\)
−0.991129 + 0.132904i \(0.957570\pi\)
\(728\) −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 0.971637 0.236477i \(-0.0759927\pi\)
−0.446757 + 0.894655i \(0.647421\pi\)
\(734\) 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 −0.780775 0.624812i \(-0.785176\pi\)
0.00169199 + 0.999999i \(0.499461\pi\)
\(740\) 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 0.372833 0.927899i \(-0.378387\pi\)
0.629772 + 0.776780i \(0.283148\pi\)
\(744\) −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 −0.0889600 0.996035i \(-0.528354\pi\)
−0.634589 + 0.772850i \(0.718831\pi\)
\(752\) −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 −0.947366 0.320152i \(-0.896266\pi\)
0.889069 0.457774i \(-0.151353\pi\)
\(758\) −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 0.728357 0.685197i \(-0.240284\pi\)
−0.371733 + 0.928340i \(0.621236\pi\)
\(762\) 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 −0.759341 0.650693i \(-0.774478\pi\)
0.847840 0.530252i \(-0.177903\pi\)
\(770\) 0.493242 2.16103i 0.0177752 0.0778782i
\(771\) 1.42637 + 3.63433i 0.0513694 + 0.130887i