Properties

Label 224.2.u.c.29.2
Level $224$
Weight $2$
Character 224.29
Analytic conductor $1.789$
Analytic rank $0$
Dimension $52$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.u (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(52\)
Relative dimension: \(13\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 29.2
Character \(\chi\) \(=\) 224.29
Dual form 224.2.u.c.85.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.24749 - 0.666168i) q^{2} +(2.18713 + 0.905938i) q^{3} +(1.11244 + 1.66207i) q^{4} +(0.797931 + 1.92638i) q^{5} +(-2.12490 - 2.58714i) q^{6} +(0.707107 - 0.707107i) q^{7} +(-0.280536 - 2.81448i) q^{8} +(1.84149 + 1.84149i) q^{9} +O(q^{10})\) \(q+(-1.24749 - 0.666168i) q^{2} +(2.18713 + 0.905938i) q^{3} +(1.11244 + 1.66207i) q^{4} +(0.797931 + 1.92638i) q^{5} +(-2.12490 - 2.58714i) q^{6} +(0.707107 - 0.707107i) q^{7} +(-0.280536 - 2.81448i) q^{8} +(1.84149 + 1.84149i) q^{9} +(0.287882 - 2.93468i) q^{10} +(-1.24061 + 0.513879i) q^{11} +(0.927318 + 4.64296i) q^{12} +(-1.97504 + 4.76818i) q^{13} +(-1.35316 + 0.411054i) q^{14} +4.93611i q^{15} +(-1.52495 + 3.69791i) q^{16} -6.56615i q^{17} +(-1.07049 - 3.52397i) q^{18} +(0.246004 - 0.593907i) q^{19} +(-2.31412 + 3.46920i) q^{20} +(2.18713 - 0.905938i) q^{21} +(1.88998 + 0.185400i) q^{22} +(1.33754 + 1.33754i) q^{23} +(1.93618 - 6.40978i) q^{24} +(0.461303 - 0.461303i) q^{25} +(5.64025 - 4.63252i) q^{26} +(-0.358520 - 0.865544i) q^{27} +(1.96188 + 0.388646i) q^{28} +(-3.76520 - 1.55960i) q^{29} +(3.28828 - 6.15772i) q^{30} +10.2099 q^{31} +(4.36578 - 3.59721i) q^{32} -3.17892 q^{33} +(-4.37416 + 8.19118i) q^{34} +(1.92638 + 0.797931i) q^{35} +(-1.01213 + 5.10922i) q^{36} +(0.633332 + 1.52900i) q^{37} +(-0.702529 + 0.577010i) q^{38} +(-8.63935 + 8.63935i) q^{39} +(5.19790 - 2.78618i) q^{40} +(-2.76376 - 2.76376i) q^{41} +(-3.33192 - 0.326850i) q^{42} +(0.855100 - 0.354194i) q^{43} +(-2.23421 - 1.49033i) q^{44} +(-2.07802 + 5.01678i) q^{45} +(-0.777538 - 2.55959i) q^{46} -10.6321i q^{47} +(-6.68534 + 6.70629i) q^{48} -1.00000i q^{49} +(-0.882774 + 0.268164i) q^{50} +(5.94853 - 14.3610i) q^{51} +(-10.1222 + 2.02166i) q^{52} +(-11.1286 + 4.60960i) q^{53} +(-0.129349 + 1.31859i) q^{54} +(-1.97985 - 1.97985i) q^{55} +(-2.18851 - 1.79177i) q^{56} +(1.07609 - 1.07609i) q^{57} +(3.65808 + 4.45383i) q^{58} +(1.04141 + 2.51418i) q^{59} +(-8.20416 + 5.49113i) q^{60} +(-9.47718 - 3.92558i) q^{61} +(-12.7367 - 6.80151i) q^{62} +2.60426 q^{63} +(-7.84260 + 1.57913i) q^{64} -10.7613 q^{65} +(3.96566 + 2.11770i) q^{66} +(9.85128 + 4.08053i) q^{67} +(10.9134 - 7.30445i) q^{68} +(1.71365 + 4.13711i) q^{69} +(-1.87157 - 2.27870i) q^{70} +(-6.76319 + 6.76319i) q^{71} +(4.66622 - 5.69943i) q^{72} +(0.141933 + 0.141933i) q^{73} +(0.228497 - 2.32931i) q^{74} +(1.42684 - 0.591017i) q^{75} +(1.26078 - 0.251810i) q^{76} +(-0.513879 + 1.24061i) q^{77} +(16.5327 - 5.02221i) q^{78} +1.65401i q^{79} +(-8.34037 + 0.0130460i) q^{80} -10.0306i q^{81} +(1.60662 + 5.28888i) q^{82} +(4.10243 - 9.90415i) q^{83} +(3.93878 + 2.62736i) q^{84} +(12.6489 - 5.23934i) q^{85} +(-1.30268 - 0.127788i) q^{86} +(-6.82208 - 6.82208i) q^{87} +(1.79434 + 3.34752i) q^{88} +(-6.54438 + 6.54438i) q^{89} +(5.93431 - 4.87405i) q^{90} +(1.97504 + 4.76818i) q^{91} +(-0.735153 + 3.71103i) q^{92} +(22.3304 + 9.24954i) q^{93} +(-7.08277 + 13.2634i) q^{94} +1.34038 q^{95} +(12.8074 - 3.91244i) q^{96} -14.6079 q^{97} +(-0.666168 + 1.24749i) q^{98} +(-3.23087 - 1.33827i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 52 q - 20 q^{6} + O(q^{10}) \) \( 52 q - 20 q^{6} - 8 q^{10} + 12 q^{12} - 12 q^{16} - 20 q^{18} + 20 q^{22} - 20 q^{23} - 8 q^{24} + 20 q^{26} - 24 q^{27} - 8 q^{28} + 20 q^{30} + 60 q^{32} - 48 q^{33} + 48 q^{34} + 8 q^{36} - 60 q^{38} - 24 q^{39} + 20 q^{40} - 44 q^{43} + 32 q^{44} + 40 q^{45} - 32 q^{46} - 84 q^{48} - 124 q^{50} + 16 q^{51} - 32 q^{52} - 36 q^{53} + 96 q^{54} + 32 q^{55} + 16 q^{56} + 4 q^{58} - 92 q^{60} - 32 q^{61} + 12 q^{62} + 68 q^{63} + 48 q^{64} + 80 q^{65} + 16 q^{66} + 28 q^{67} - 4 q^{68} - 32 q^{69} + 8 q^{70} - 88 q^{72} + 36 q^{74} + 32 q^{75} + 96 q^{76} - 12 q^{77} + 12 q^{78} - 108 q^{80} - 96 q^{82} + 64 q^{85} + 76 q^{86} - 56 q^{87} + 104 q^{88} - 132 q^{90} + 32 q^{92} - 4 q^{94} - 64 q^{95} + 8 q^{96} - 72 q^{97} - 64 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{3}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.24749 0.666168i −0.882106 0.471052i
\(3\) 2.18713 + 0.905938i 1.26274 + 0.523044i 0.910749 0.412960i \(-0.135505\pi\)
0.351990 + 0.936004i \(0.385505\pi\)
\(4\) 1.11244 + 1.66207i 0.556220 + 0.831035i
\(5\) 0.797931 + 1.92638i 0.356846 + 0.861502i 0.995740 + 0.0922070i \(0.0293922\pi\)
−0.638894 + 0.769295i \(0.720608\pi\)
\(6\) −2.12490 2.58714i −0.867489 1.05620i
\(7\) 0.707107 0.707107i 0.267261 0.267261i
\(8\) −0.280536 2.81448i −0.0991846 0.995069i
\(9\) 1.84149 + 1.84149i 0.613829 + 0.613829i
\(10\) 0.287882 2.93468i 0.0910364 0.928028i
\(11\) −1.24061 + 0.513879i −0.374059 + 0.154940i −0.561789 0.827280i \(-0.689887\pi\)
0.187731 + 0.982221i \(0.439887\pi\)
\(12\) 0.927318 + 4.64296i 0.267694 + 1.34031i
\(13\) −1.97504 + 4.76818i −0.547779 + 1.32245i 0.371348 + 0.928494i \(0.378896\pi\)
−0.919127 + 0.393961i \(0.871104\pi\)
\(14\) −1.35316 + 0.411054i −0.361647 + 0.109859i
\(15\) 4.93611i 1.27450i
\(16\) −1.52495 + 3.69791i −0.381238 + 0.924477i
\(17\) 6.56615i 1.59253i −0.604951 0.796263i \(-0.706807\pi\)
0.604951 0.796263i \(-0.293193\pi\)
\(18\) −1.07049 3.52397i −0.252317 0.830607i
\(19\) 0.246004 0.593907i 0.0564373 0.136252i −0.893146 0.449767i \(-0.851507\pi\)
0.949583 + 0.313516i \(0.101507\pi\)
\(20\) −2.31412 + 3.46920i −0.517453 + 0.775736i
\(21\) 2.18713 0.905938i 0.477271 0.197692i
\(22\) 1.88998 + 0.185400i 0.402944 + 0.0395274i
\(23\) 1.33754 + 1.33754i 0.278897 + 0.278897i 0.832669 0.553772i \(-0.186812\pi\)
−0.553772 + 0.832669i \(0.686812\pi\)
\(24\) 1.93618 6.40978i 0.395220 1.30839i
\(25\) 0.461303 0.461303i 0.0922606 0.0922606i
\(26\) 5.64025 4.63252i 1.10614 0.908513i
\(27\) −0.358520 0.865544i −0.0689972 0.166574i
\(28\) 1.96188 + 0.388646i 0.370760 + 0.0734473i
\(29\) −3.76520 1.55960i −0.699181 0.289610i 0.00463850 0.999989i \(-0.498524\pi\)
−0.703819 + 0.710379i \(0.748524\pi\)
\(30\) 3.28828 6.15772i 0.600355 1.12424i
\(31\) 10.2099 1.83375 0.916876 0.399171i \(-0.130702\pi\)
0.916876 + 0.399171i \(0.130702\pi\)
\(32\) 4.36578 3.59721i 0.771769 0.635903i
\(33\) −3.17892 −0.553379
\(34\) −4.37416 + 8.19118i −0.750162 + 1.40478i
\(35\) 1.92638 + 0.797931i 0.325617 + 0.134875i
\(36\) −1.01213 + 5.10922i −0.168689 + 0.851537i
\(37\) 0.633332 + 1.52900i 0.104119 + 0.251366i 0.967350 0.253443i \(-0.0815630\pi\)
−0.863231 + 0.504809i \(0.831563\pi\)
\(38\) −0.702529 + 0.577010i −0.113965 + 0.0936034i
\(39\) −8.63935 + 8.63935i −1.38340 + 1.38340i
\(40\) 5.19790 2.78618i 0.821860 0.440534i
\(41\) −2.76376 2.76376i −0.431627 0.431627i 0.457555 0.889181i \(-0.348725\pi\)
−0.889181 + 0.457555i \(0.848725\pi\)
\(42\) −3.33192 0.326850i −0.514126 0.0504340i
\(43\) 0.855100 0.354194i 0.130402 0.0540141i −0.316528 0.948583i \(-0.602517\pi\)
0.446930 + 0.894569i \(0.352517\pi\)
\(44\) −2.23421 1.49033i −0.336820 0.224675i
\(45\) −2.07802 + 5.01678i −0.309772 + 0.747857i
\(46\) −0.777538 2.55959i −0.114642 0.377392i
\(47\) 10.6321i 1.55085i −0.631438 0.775427i \(-0.717535\pi\)
0.631438 0.775427i \(-0.282465\pi\)
\(48\) −6.68534 + 6.70629i −0.964946 + 0.967969i
\(49\) 1.00000i 0.142857i
\(50\) −0.882774 + 0.268164i −0.124843 + 0.0379240i
\(51\) 5.94853 14.3610i 0.832961 2.01094i
\(52\) −10.1222 + 2.02166i −1.40369 + 0.280353i
\(53\) −11.1286 + 4.60960i −1.52863 + 0.633178i −0.979297 0.202428i \(-0.935117\pi\)
−0.549329 + 0.835606i \(0.685117\pi\)
\(54\) −0.129349 + 1.31859i −0.0176022 + 0.179437i
\(55\) −1.97985 1.97985i −0.266962 0.266962i
\(56\) −2.18851 1.79177i −0.292452 0.239435i
\(57\) 1.07609 1.07609i 0.142531 0.142531i
\(58\) 3.65808 + 4.45383i 0.480330 + 0.584817i
\(59\) 1.04141 + 2.51418i 0.135579 + 0.327318i 0.977058 0.212972i \(-0.0683144\pi\)
−0.841479 + 0.540290i \(0.818314\pi\)
\(60\) −8.20416 + 5.49113i −1.05915 + 0.708902i
\(61\) −9.47718 3.92558i −1.21343 0.502619i −0.318114 0.948052i \(-0.603050\pi\)
−0.895315 + 0.445434i \(0.853050\pi\)
\(62\) −12.7367 6.80151i −1.61756 0.863793i
\(63\) 2.60426 0.328105
\(64\) −7.84260 + 1.57913i −0.980325 + 0.197391i
\(65\) −10.7613 −1.33477
\(66\) 3.96566 + 2.11770i 0.488139 + 0.260670i
\(67\) 9.85128 + 4.08053i 1.20353 + 0.498517i 0.892137 0.451766i \(-0.149206\pi\)
0.311389 + 0.950282i \(0.399206\pi\)
\(68\) 10.9134 7.30445i 1.32344 0.885795i
\(69\) 1.71365 + 4.13711i 0.206299 + 0.498050i
\(70\) −1.87157 2.27870i −0.223695 0.272356i
\(71\) −6.76319 + 6.76319i −0.802643 + 0.802643i −0.983508 0.180865i \(-0.942110\pi\)
0.180865 + 0.983508i \(0.442110\pi\)
\(72\) 4.66622 5.69943i 0.549920 0.671685i
\(73\) 0.141933 + 0.141933i 0.0166120 + 0.0166120i 0.715364 0.698752i \(-0.246261\pi\)
−0.698752 + 0.715364i \(0.746261\pi\)
\(74\) 0.228497 2.32931i 0.0265623 0.270777i
\(75\) 1.42684 0.591017i 0.164757 0.0682447i
\(76\) 1.26078 0.251810i 0.144621 0.0288846i
\(77\) −0.513879 + 1.24061i −0.0585619 + 0.141381i
\(78\) 16.5327 5.02221i 1.87196 0.568653i
\(79\) 1.65401i 0.186091i 0.995662 + 0.0930454i \(0.0296602\pi\)
−0.995662 + 0.0930454i \(0.970340\pi\)
\(80\) −8.34037 + 0.0130460i −0.932481 + 0.00145859i
\(81\) 10.0306i 1.11451i
\(82\) 1.60662 + 5.28888i 0.177422 + 0.584059i
\(83\) 4.10243 9.90415i 0.450301 1.08712i −0.521907 0.853002i \(-0.674779\pi\)
0.972208 0.234120i \(-0.0752207\pi\)
\(84\) 3.93878 + 2.62736i 0.429757 + 0.286668i
\(85\) 12.6489 5.23934i 1.37196 0.568286i
\(86\) −1.30268 0.127788i −0.140471 0.0137798i
\(87\) −6.82208 6.82208i −0.731404 0.731404i
\(88\) 1.79434 + 3.34752i 0.191277 + 0.356847i
\(89\) −6.54438 + 6.54438i −0.693702 + 0.693702i −0.963045 0.269342i \(-0.913194\pi\)
0.269342 + 0.963045i \(0.413194\pi\)
\(90\) 5.93431 4.87405i 0.625531 0.513770i
\(91\) 1.97504 + 4.76818i 0.207041 + 0.499841i
\(92\) −0.735153 + 3.71103i −0.0766450 + 0.386901i
\(93\) 22.3304 + 9.24954i 2.31555 + 0.959133i
\(94\) −7.08277 + 13.2634i −0.730532 + 1.36802i
\(95\) 1.34038 0.137520
\(96\) 12.8074 3.91244i 1.30715 0.399312i
\(97\) −14.6079 −1.48320 −0.741601 0.670841i \(-0.765933\pi\)
−0.741601 + 0.670841i \(0.765933\pi\)
\(98\) −0.666168 + 1.24749i −0.0672931 + 0.126015i
\(99\) −3.23087 1.33827i −0.324715 0.134501i
\(100\) 1.27989 + 0.253545i 0.127989 + 0.0253545i
\(101\) 3.14443 + 7.59133i 0.312883 + 0.755366i 0.999596 + 0.0284369i \(0.00905297\pi\)
−0.686713 + 0.726929i \(0.740947\pi\)
\(102\) −16.9876 + 13.9524i −1.68202 + 1.38150i
\(103\) −1.16285 + 1.16285i −0.114579 + 0.114579i −0.762072 0.647493i \(-0.775818\pi\)
0.647493 + 0.762072i \(0.275818\pi\)
\(104\) 13.9740 + 4.22108i 1.37027 + 0.413911i
\(105\) 3.49036 + 3.49036i 0.340624 + 0.340624i
\(106\) 16.9535 + 1.66308i 1.64667 + 0.161533i
\(107\) 12.3031 5.09612i 1.18939 0.492660i 0.301832 0.953361i \(-0.402402\pi\)
0.887556 + 0.460701i \(0.152402\pi\)
\(108\) 1.03976 1.55875i 0.100051 0.149991i
\(109\) 5.89338 14.2279i 0.564484 1.36278i −0.341664 0.939822i \(-0.610990\pi\)
0.906147 0.422962i \(-0.139010\pi\)
\(110\) 1.15092 + 3.78874i 0.109736 + 0.361242i
\(111\) 3.91788i 0.371868i
\(112\) 1.53651 + 3.69312i 0.145187 + 0.348967i
\(113\) 14.6821i 1.38117i −0.723250 0.690586i \(-0.757352\pi\)
0.723250 0.690586i \(-0.242648\pi\)
\(114\) −2.05926 + 0.625548i −0.192867 + 0.0585879i
\(115\) −1.50934 + 3.64388i −0.140747 + 0.339793i
\(116\) −1.59640 7.99299i −0.148222 0.742131i
\(117\) −12.4176 + 5.14352i −1.14800 + 0.475519i
\(118\) 0.375725 3.83015i 0.0345882 0.352594i
\(119\) −4.64297 4.64297i −0.425620 0.425620i
\(120\) 13.8926 1.38476i 1.26821 0.126411i
\(121\) −6.50313 + 6.50313i −0.591193 + 0.591193i
\(122\) 9.20756 + 11.2105i 0.833613 + 1.01495i
\(123\) −3.54090 8.54850i −0.319272 0.770792i
\(124\) 11.3579 + 16.9696i 1.01997 + 1.52391i
\(125\) 10.8886 + 4.51021i 0.973907 + 0.403405i
\(126\) −3.24877 1.73487i −0.289424 0.154555i
\(127\) −3.75030 −0.332786 −0.166393 0.986060i \(-0.553212\pi\)
−0.166393 + 0.986060i \(0.553212\pi\)
\(128\) 10.8355 + 3.25455i 0.957731 + 0.287664i
\(129\) 2.19109 0.192915
\(130\) 13.4245 + 7.16880i 1.17741 + 0.628746i
\(131\) 0.344003 + 0.142491i 0.0300556 + 0.0124495i 0.397661 0.917533i \(-0.369822\pi\)
−0.367605 + 0.929982i \(0.619822\pi\)
\(132\) −3.53636 5.28359i −0.307801 0.459877i
\(133\) −0.246004 0.593907i −0.0213313 0.0514983i
\(134\) −9.57101 11.6530i −0.826809 1.00667i
\(135\) 1.38129 1.38129i 0.118882 0.118882i
\(136\) −18.4803 + 1.84204i −1.58467 + 0.157954i
\(137\) 14.0332 + 14.0332i 1.19893 + 1.19893i 0.974486 + 0.224447i \(0.0720576\pi\)
0.224447 + 0.974486i \(0.427942\pi\)
\(138\) 0.618260 6.30256i 0.0526298 0.536510i
\(139\) −21.0352 + 8.71308i −1.78419 + 0.739034i −0.792576 + 0.609774i \(0.791260\pi\)
−0.991611 + 0.129260i \(0.958740\pi\)
\(140\) 0.816762 + 4.08942i 0.0690290 + 0.345619i
\(141\) 9.63204 23.2538i 0.811164 1.95832i
\(142\) 12.9424 3.93156i 1.08610 0.329929i
\(143\) 6.93040i 0.579549i
\(144\) −9.61783 + 4.00147i −0.801486 + 0.333456i
\(145\) 8.49765i 0.705691i
\(146\) −0.0825083 0.271611i −0.00682844 0.0224787i
\(147\) 0.905938 2.18713i 0.0747205 0.180391i
\(148\) −1.83676 + 2.75356i −0.150981 + 0.226341i
\(149\) 1.51778 0.628685i 0.124341 0.0515038i −0.319645 0.947537i \(-0.603564\pi\)
0.443987 + 0.896033i \(0.353564\pi\)
\(150\) −2.17368 0.213230i −0.177480 0.0174102i
\(151\) 2.52338 + 2.52338i 0.205350 + 0.205350i 0.802288 0.596938i \(-0.203616\pi\)
−0.596938 + 0.802288i \(0.703616\pi\)
\(152\) −1.74055 0.525762i −0.141177 0.0426449i
\(153\) 12.0915 12.0915i 0.977538 0.977538i
\(154\) 1.46751 1.20532i 0.118256 0.0971272i
\(155\) 8.14680 + 19.6681i 0.654367 + 1.57978i
\(156\) −23.9700 4.74844i −1.91913 0.380179i
\(157\) −5.90004 2.44388i −0.470875 0.195043i 0.134612 0.990898i \(-0.457021\pi\)
−0.605486 + 0.795856i \(0.707021\pi\)
\(158\) 1.10185 2.06335i 0.0876584 0.164152i
\(159\) −28.5156 −2.26144
\(160\) 10.4132 + 5.53981i 0.823234 + 0.437960i
\(161\) 1.89157 0.149077
\(162\) −6.68208 + 12.5131i −0.524994 + 0.983118i
\(163\) 3.02368 + 1.25245i 0.236833 + 0.0980995i 0.497944 0.867209i \(-0.334089\pi\)
−0.261110 + 0.965309i \(0.584089\pi\)
\(164\) 1.51904 7.66808i 0.118617 0.598777i
\(165\) −2.53656 6.12380i −0.197471 0.476737i
\(166\) −11.7156 + 9.62238i −0.909303 + 0.746841i
\(167\) −8.58278 + 8.58278i −0.664156 + 0.664156i −0.956357 0.292201i \(-0.905612\pi\)
0.292201 + 0.956357i \(0.405612\pi\)
\(168\) −3.16331 5.90148i −0.244055 0.455309i
\(169\) −9.64234 9.64234i −0.741719 0.741719i
\(170\) −19.2696 1.89028i −1.47791 0.144978i
\(171\) 1.54669 0.640658i 0.118278 0.0489924i
\(172\) 1.53994 + 1.02722i 0.117420 + 0.0783245i
\(173\) −0.457854 + 1.10536i −0.0348100 + 0.0840388i −0.940328 0.340268i \(-0.889482\pi\)
0.905518 + 0.424307i \(0.139482\pi\)
\(174\) 3.96580 + 13.0551i 0.300646 + 0.989705i
\(175\) 0.652381i 0.0493153i
\(176\) −0.00840179 5.37131i −0.000633309 0.404878i
\(177\) 6.44228i 0.484231i
\(178\) 12.5237 3.80436i 0.938689 0.285149i
\(179\) −8.36981 + 20.2065i −0.625589 + 1.51031i 0.219462 + 0.975621i \(0.429570\pi\)
−0.845051 + 0.534685i \(0.820430\pi\)
\(180\) −10.6499 + 2.12706i −0.793797 + 0.158541i
\(181\) −4.05792 + 1.68084i −0.301622 + 0.124936i −0.528362 0.849019i \(-0.677193\pi\)
0.226739 + 0.973956i \(0.427193\pi\)
\(182\) 0.712568 7.26395i 0.0528191 0.538440i
\(183\) −17.1715 17.1715i −1.26935 1.26935i
\(184\) 3.38926 4.13972i 0.249860 0.305184i
\(185\) −2.44007 + 2.44007i −0.179398 + 0.179398i
\(186\) −21.6951 26.4144i −1.59076 1.93680i
\(187\) 3.37420 + 8.14605i 0.246746 + 0.595698i
\(188\) 17.6713 11.8276i 1.28881 0.862616i
\(189\) −0.865544 0.358520i −0.0629590 0.0260785i
\(190\) −1.67211 0.892920i −0.121307 0.0647792i
\(191\) −6.12672 −0.443314 −0.221657 0.975125i \(-0.571147\pi\)
−0.221657 + 0.975125i \(0.571147\pi\)
\(192\) −18.5834 3.65115i −1.34114 0.263499i
\(193\) 19.3732 1.39451 0.697257 0.716822i \(-0.254404\pi\)
0.697257 + 0.716822i \(0.254404\pi\)
\(194\) 18.2231 + 9.73128i 1.30834 + 0.698665i
\(195\) −23.5363 9.74903i −1.68547 0.698143i
\(196\) 1.66207 1.11244i 0.118719 0.0794601i
\(197\) 5.45295 + 13.1646i 0.388506 + 0.937937i 0.990257 + 0.139253i \(0.0444702\pi\)
−0.601751 + 0.798684i \(0.705530\pi\)
\(198\) 3.13895 + 3.82178i 0.223076 + 0.271602i
\(199\) 2.51502 2.51502i 0.178285 0.178285i −0.612323 0.790608i \(-0.709765\pi\)
0.790608 + 0.612323i \(0.209765\pi\)
\(200\) −1.42774 1.16892i −0.100956 0.0826548i
\(201\) 17.8493 + 17.8493i 1.25899 + 1.25899i
\(202\) 1.13447 11.5648i 0.0798208 0.813696i
\(203\) −3.76520 + 1.55960i −0.264265 + 0.109462i
\(204\) 30.4864 6.08891i 2.13447 0.426309i
\(205\) 3.11875 7.52933i 0.217823 0.525871i
\(206\) 2.22529 0.675983i 0.155043 0.0470980i
\(207\) 4.92614i 0.342390i
\(208\) −14.6204 14.5748i −1.01375 1.01058i
\(209\) 0.863225i 0.0597105i
\(210\) −2.02901 6.67933i −0.140015 0.460918i
\(211\) −2.01957 + 4.87567i −0.139033 + 0.335655i −0.978025 0.208489i \(-0.933145\pi\)
0.838992 + 0.544144i \(0.183145\pi\)
\(212\) −20.0414 13.3685i −1.37645 0.918155i
\(213\) −20.9190 + 8.66493i −1.43335 + 0.593711i
\(214\) −18.7428 1.83861i −1.28123 0.125685i
\(215\) 1.36462 + 1.36462i 0.0930665 + 0.0930665i
\(216\) −2.33548 + 1.25186i −0.158909 + 0.0851785i
\(217\) 7.21949 7.21949i 0.490091 0.490091i
\(218\) −16.8301 + 13.8231i −1.13988 + 0.936218i
\(219\) 0.181844 + 0.439009i 0.0122878 + 0.0296655i
\(220\) 1.08818 5.49311i 0.0733652 0.370345i
\(221\) 31.3086 + 12.9684i 2.10604 + 0.872352i
\(222\) 2.60996 4.88749i 0.175169 0.328027i
\(223\) 26.5415 1.77735 0.888675 0.458537i \(-0.151626\pi\)
0.888675 + 0.458537i \(0.151626\pi\)
\(224\) 0.543460 5.63069i 0.0363115 0.376216i
\(225\) 1.69897 0.113264
\(226\) −9.78072 + 18.3157i −0.650604 + 1.21834i
\(227\) −0.0142692 0.00591051i −0.000947082 0.000392294i 0.382210 0.924076i \(-0.375163\pi\)
−0.383157 + 0.923683i \(0.625163\pi\)
\(228\) 2.98561 + 0.591448i 0.197727 + 0.0391696i
\(229\) −2.97206 7.17519i −0.196399 0.474150i 0.794744 0.606945i \(-0.207605\pi\)
−0.991144 + 0.132794i \(0.957605\pi\)
\(230\) 4.31032 3.54021i 0.284214 0.233435i
\(231\) −2.24784 + 2.24784i −0.147897 + 0.147897i
\(232\) −3.33318 + 11.0346i −0.218834 + 0.724458i
\(233\) 5.96875 + 5.96875i 0.391026 + 0.391026i 0.875053 0.484027i \(-0.160826\pi\)
−0.484027 + 0.875053i \(0.660826\pi\)
\(234\) 18.9172 + 1.85571i 1.23665 + 0.121312i
\(235\) 20.4814 8.48369i 1.33606 0.553415i
\(236\) −3.02023 + 4.52776i −0.196600 + 0.294732i
\(237\) −1.49843 + 3.61753i −0.0973336 + 0.234984i
\(238\) 2.69904 + 8.88504i 0.174953 + 0.575931i
\(239\) 17.7307i 1.14690i 0.819239 + 0.573452i \(0.194396\pi\)
−0.819239 + 0.573452i \(0.805604\pi\)
\(240\) −18.2533 7.52733i −1.17824 0.485887i
\(241\) 26.5591i 1.71082i 0.517951 + 0.855410i \(0.326695\pi\)
−0.517951 + 0.855410i \(0.673305\pi\)
\(242\) 12.4447 3.78038i 0.799978 0.243012i
\(243\) 8.01156 19.3416i 0.513942 1.24077i
\(244\) −4.01822 20.1187i −0.257240 1.28797i
\(245\) 1.92638 0.797931i 0.123072 0.0509780i
\(246\) −1.27751 + 13.0230i −0.0814509 + 0.830314i
\(247\) 2.34599 + 2.34599i 0.149271 + 0.149271i
\(248\) −2.86425 28.7356i −0.181880 1.82471i
\(249\) 17.9451 17.9451i 1.13722 1.13722i
\(250\) −10.5788 12.8801i −0.669064 0.814607i
\(251\) 1.12068 + 2.70556i 0.0707367 + 0.170773i 0.955294 0.295659i \(-0.0955391\pi\)
−0.884557 + 0.466432i \(0.845539\pi\)
\(252\) 2.89708 + 4.32845i 0.182499 + 0.272667i
\(253\) −2.34671 0.972038i −0.147536 0.0611115i
\(254\) 4.67845 + 2.49833i 0.293552 + 0.156759i
\(255\) 32.4112 2.02967
\(256\) −11.3490 11.2783i −0.709315 0.704891i
\(257\) 4.51796 0.281823 0.140911 0.990022i \(-0.454997\pi\)
0.140911 + 0.990022i \(0.454997\pi\)
\(258\) −2.73336 1.45964i −0.170171 0.0908729i
\(259\) 1.52900 + 0.633332i 0.0950073 + 0.0393533i
\(260\) −11.9713 17.8860i −0.742426 1.10924i
\(261\) −4.06159 9.80555i −0.251406 0.606948i
\(262\) −0.334216 0.406918i −0.0206479 0.0251395i
\(263\) 18.6783 18.6783i 1.15176 1.15176i 0.165555 0.986201i \(-0.447058\pi\)
0.986201 0.165555i \(-0.0529415\pi\)
\(264\) 0.891803 + 8.94701i 0.0548867 + 0.550650i
\(265\) −17.7597 17.7597i −1.09097 1.09097i
\(266\) −0.0887549 + 0.904771i −0.00544191 + 0.0554750i
\(267\) −20.2422 + 8.38459i −1.23880 + 0.513129i
\(268\) 4.17683 + 20.9129i 0.255141 + 1.27746i
\(269\) −3.40283 + 8.21516i −0.207474 + 0.500887i −0.993024 0.117911i \(-0.962380\pi\)
0.785550 + 0.618798i \(0.212380\pi\)
\(270\) −2.64331 + 0.802968i −0.160867 + 0.0488670i
\(271\) 2.34539i 0.142472i −0.997459 0.0712361i \(-0.977306\pi\)
0.997459 0.0712361i \(-0.0226944\pi\)
\(272\) 24.2810 + 10.0131i 1.47225 + 0.607131i
\(273\) 12.2179i 0.739460i
\(274\) −8.15772 26.8546i −0.492826 1.62235i
\(275\) −0.335244 + 0.809352i −0.0202160 + 0.0488057i
\(276\) −4.96984 + 7.45049i −0.299149 + 0.448467i
\(277\) −9.44890 + 3.91386i −0.567729 + 0.235161i −0.648037 0.761609i \(-0.724410\pi\)
0.0803076 + 0.996770i \(0.474410\pi\)
\(278\) 32.0455 + 3.14356i 1.92196 + 0.188538i
\(279\) 18.8014 + 18.8014i 1.12561 + 1.12561i
\(280\) 1.70534 5.64560i 0.101914 0.337389i
\(281\) −19.5383 + 19.5383i −1.16555 + 1.16555i −0.182315 + 0.983240i \(0.558359\pi\)
−0.983240 + 0.182315i \(0.941641\pi\)
\(282\) −27.5068 + 22.5922i −1.63800 + 1.34535i
\(283\) 1.95857 + 4.72840i 0.116425 + 0.281074i 0.971340 0.237693i \(-0.0763912\pi\)
−0.854916 + 0.518767i \(0.826391\pi\)
\(284\) −18.7645 3.71724i −1.11347 0.220578i
\(285\) 2.93159 + 1.21430i 0.173652 + 0.0719292i
\(286\) −4.61681 + 8.64557i −0.272998 + 0.511223i
\(287\) −3.90855 −0.230714
\(288\) 14.6638 + 1.41531i 0.864070 + 0.0833979i
\(289\) −26.1143 −1.53614
\(290\) −5.66086 + 10.6007i −0.332417 + 0.622494i
\(291\) −31.9493 13.2338i −1.87290 0.775780i
\(292\) −0.0780107 + 0.393795i −0.00456523 + 0.0230451i
\(293\) 2.15342 + 5.19882i 0.125804 + 0.303718i 0.974216 0.225619i \(-0.0724405\pi\)
−0.848411 + 0.529337i \(0.822441\pi\)
\(294\) −2.58714 + 2.12490i −0.150885 + 0.123927i
\(295\) −4.01228 + 4.01228i −0.233604 + 0.233604i
\(296\) 4.12566 2.21144i 0.239799 0.128537i
\(297\) 0.889569 + 0.889569i 0.0516180 + 0.0516180i
\(298\) −2.31222 0.226821i −0.133943 0.0131394i
\(299\) −9.01935 + 3.73594i −0.521603 + 0.216055i
\(300\) 2.56959 + 1.71404i 0.148355 + 0.0989600i
\(301\) 0.354194 0.855100i 0.0204154 0.0492872i
\(302\) −1.46689 4.82887i −0.0844098 0.277871i
\(303\) 19.4519i 1.11748i
\(304\) 1.82107 + 1.81538i 0.104445 + 0.104119i
\(305\) 21.3890i 1.22473i
\(306\) −23.1389 + 7.02899i −1.32276 + 0.401821i
\(307\) 8.21013 19.8210i 0.468577 1.13124i −0.496208 0.868204i \(-0.665275\pi\)
0.964785 0.263041i \(-0.0847254\pi\)
\(308\) −2.63364 + 0.526006i −0.150066 + 0.0299720i
\(309\) −3.59676 + 1.48983i −0.204613 + 0.0847533i
\(310\) 2.93925 29.9628i 0.166938 1.70177i
\(311\) −19.7529 19.7529i −1.12008 1.12008i −0.991728 0.128354i \(-0.959031\pi\)
−0.128354 0.991728i \(-0.540969\pi\)
\(312\) 26.7389 + 21.8916i 1.51379 + 1.23937i
\(313\) −7.28724 + 7.28724i −0.411899 + 0.411899i −0.882400 0.470501i \(-0.844073\pi\)
0.470501 + 0.882400i \(0.344073\pi\)
\(314\) 5.73218 + 6.97912i 0.323486 + 0.393855i
\(315\) 2.07802 + 5.01678i 0.117083 + 0.282663i
\(316\) −2.74908 + 1.83999i −0.154648 + 0.103507i
\(317\) −11.8568 4.91125i −0.665944 0.275843i 0.0239934 0.999712i \(-0.492362\pi\)
−0.689937 + 0.723869i \(0.742362\pi\)
\(318\) 35.5728 + 18.9962i 1.99483 + 1.06525i
\(319\) 5.47260 0.306407
\(320\) −9.29985 13.8478i −0.519877 0.774113i
\(321\) 31.5253 1.75957
\(322\) −2.35971 1.26010i −0.131501 0.0702229i
\(323\) −3.89968 1.61530i −0.216984 0.0898778i
\(324\) 16.6716 11.1585i 0.926199 0.619915i
\(325\) 1.28848 + 3.11067i 0.0714721 + 0.172549i
\(326\) −2.93766 3.57669i −0.162702 0.198095i
\(327\) 25.7792 25.7792i 1.42559 1.42559i
\(328\) −7.00321 + 8.55388i −0.386688 + 0.472309i
\(329\) −7.51804 7.51804i −0.414483 0.414483i
\(330\) −0.915155 + 9.32913i −0.0503776 + 0.513551i
\(331\) 17.0405 7.05841i 0.936631 0.387965i 0.138441 0.990371i \(-0.455791\pi\)
0.798190 + 0.602406i \(0.205791\pi\)
\(332\) 21.0251 4.19925i 1.15390 0.230464i
\(333\) −1.64936 + 3.98190i −0.0903843 + 0.218207i
\(334\) 16.4245 4.98932i 0.898707 0.273004i
\(335\) 22.2333i 1.21473i
\(336\) 0.0148119 + 9.46931i 0.000808054 + 0.516593i
\(337\) 24.1423i 1.31511i 0.753405 + 0.657556i \(0.228410\pi\)
−0.753405 + 0.657556i \(0.771590\pi\)
\(338\) 5.60527 + 18.4521i 0.304886 + 1.00366i
\(339\) 13.3010 32.1116i 0.722414 1.74406i
\(340\) 22.7793 + 15.1949i 1.23538 + 0.824057i
\(341\) −12.6665 + 5.24665i −0.685931 + 0.284122i
\(342\) −2.35625 0.231140i −0.127412 0.0124986i
\(343\) −0.707107 0.707107i −0.0381802 0.0381802i
\(344\) −1.23676 2.30730i −0.0666816 0.124401i
\(345\) −6.60226 + 6.60226i −0.355454 + 0.355454i
\(346\) 1.30752 1.07391i 0.0702927 0.0577338i
\(347\) −0.804952 1.94333i −0.0432121 0.104323i 0.900800 0.434235i \(-0.142981\pi\)
−0.944012 + 0.329911i \(0.892981\pi\)
\(348\) 3.74962 18.9279i 0.201000 1.01464i
\(349\) −19.6991 8.15963i −1.05447 0.436775i −0.212983 0.977056i \(-0.568318\pi\)
−0.841485 + 0.540281i \(0.818318\pi\)
\(350\) −0.434595 + 0.813836i −0.0232301 + 0.0435013i
\(351\) 4.83516 0.258082
\(352\) −3.56771 + 6.70623i −0.190160 + 0.357443i
\(353\) 6.41869 0.341633 0.170816 0.985303i \(-0.445360\pi\)
0.170816 + 0.985303i \(0.445360\pi\)
\(354\) 4.29164 8.03665i 0.228098 0.427143i
\(355\) −18.4250 7.63189i −0.977898 0.405059i
\(356\) −18.1574 3.59698i −0.962342 0.190640i
\(357\) −5.94853 14.3610i −0.314830 0.760066i
\(358\) 23.9022 19.6316i 1.26327 1.03756i
\(359\) −20.8887 + 20.8887i −1.10246 + 1.10246i −0.108349 + 0.994113i \(0.534556\pi\)
−0.994113 + 0.108349i \(0.965444\pi\)
\(360\) 14.7026 + 4.44115i 0.774894 + 0.234069i
\(361\) 13.1428 + 13.1428i 0.691727 + 0.691727i
\(362\) 6.18192 + 0.606425i 0.324914 + 0.0318730i
\(363\) −20.1146 + 8.33174i −1.05574 + 0.437303i
\(364\) −5.72793 + 8.58698i −0.300225 + 0.450080i
\(365\) −0.160164 + 0.386670i −0.00838336 + 0.0202392i
\(366\) 9.98209 + 32.8603i 0.521772 + 1.71763i
\(367\) 12.3497i 0.644650i −0.946629 0.322325i \(-0.895536\pi\)
0.946629 0.322325i \(-0.104464\pi\)
\(368\) −6.98580 + 2.90642i −0.364160 + 0.151508i
\(369\) 10.1789i 0.529890i
\(370\) 4.66945 1.41846i 0.242753 0.0737420i
\(371\) −4.60960 + 11.1286i −0.239319 + 0.577766i
\(372\) 9.46783 + 47.4042i 0.490884 + 2.45779i
\(373\) 4.88869 2.02496i 0.253127 0.104848i −0.252512 0.967594i \(-0.581257\pi\)
0.505639 + 0.862745i \(0.331257\pi\)
\(374\) 1.21737 12.4099i 0.0629485 0.641699i
\(375\) 19.7288 + 19.7288i 1.01879 + 1.01879i
\(376\) −29.9239 + 2.98269i −1.54321 + 0.153821i
\(377\) 14.8729 14.8729i 0.765993 0.765993i
\(378\) 0.840919 + 1.02385i 0.0432522 + 0.0526610i
\(379\) −7.74540 18.6990i −0.397854 0.960505i −0.988174 0.153336i \(-0.950998\pi\)
0.590320 0.807169i \(-0.299002\pi\)
\(380\) 1.49110 + 2.22781i 0.0764916 + 0.114284i
\(381\) −8.20240 3.39754i −0.420222 0.174061i
\(382\) 7.64299 + 4.08142i 0.391050 + 0.208824i
\(383\) −7.18276 −0.367022 −0.183511 0.983018i \(-0.558746\pi\)
−0.183511 + 0.983018i \(0.558746\pi\)
\(384\) 20.7502 + 16.9344i 1.05890 + 0.864180i
\(385\) −2.79993 −0.142697
\(386\) −24.1678 12.9058i −1.23011 0.656888i
\(387\) 2.22690 + 0.922412i 0.113200 + 0.0468888i
\(388\) −16.2504 24.2793i −0.824988 1.23259i
\(389\) 0.994237 + 2.40030i 0.0504098 + 0.121700i 0.947078 0.321002i \(-0.104020\pi\)
−0.896669 + 0.442703i \(0.854020\pi\)
\(390\) 22.8666 + 27.8409i 1.15790 + 1.40978i
\(391\) 8.78251 8.78251i 0.444151 0.444151i
\(392\) −2.81448 + 0.280536i −0.142153 + 0.0141692i
\(393\) 0.623290 + 0.623290i 0.0314408 + 0.0314408i
\(394\) 1.96735 20.0552i 0.0991135 1.01037i
\(395\) −3.18625 + 1.31979i −0.160317 + 0.0664057i
\(396\) −1.36985 6.85868i −0.0688377 0.344662i
\(397\) 14.1878 34.2523i 0.712064 1.71907i 0.0172845 0.999851i \(-0.494498\pi\)
0.694779 0.719223i \(-0.255502\pi\)
\(398\) −4.81287 + 1.46202i −0.241248 + 0.0732847i
\(399\) 1.52182i 0.0761861i
\(400\) 1.00239 + 2.40932i 0.0501196 + 0.120466i
\(401\) 11.6214i 0.580345i 0.956974 + 0.290173i \(0.0937127\pi\)
−0.956974 + 0.290173i \(0.906287\pi\)
\(402\) −10.3761 34.1574i −0.517514 1.70362i
\(403\) −20.1650 + 48.6827i −1.00449 + 2.42506i
\(404\) −9.11933 + 13.6712i −0.453703 + 0.680166i
\(405\) 19.3227 8.00374i 0.960155 0.397709i
\(406\) 5.73599 + 0.562681i 0.284672 + 0.0279254i
\(407\) −1.57144 1.57144i −0.0778933 0.0778933i
\(408\) −42.0876 12.7132i −2.08365 0.629399i
\(409\) 15.9136 15.9136i 0.786879 0.786879i −0.194102 0.980981i \(-0.562179\pi\)
0.980981 + 0.194102i \(0.0621794\pi\)
\(410\) −8.90640 + 7.31512i −0.439856 + 0.361268i
\(411\) 17.9791 + 43.4055i 0.886846 + 2.14103i
\(412\) −3.22633 0.639134i −0.158950 0.0314879i
\(413\) 2.51418 + 1.04141i 0.123715 + 0.0512442i
\(414\) 3.28163 6.14529i 0.161284 0.302024i
\(415\) 22.3526 1.09725
\(416\) 8.52954 + 27.9215i 0.418195 + 1.36896i
\(417\) −53.9003 −2.63951
\(418\) 0.575053 1.07686i 0.0281267 0.0526710i
\(419\) 16.7940 + 6.95632i 0.820442 + 0.339838i 0.753112 0.657892i \(-0.228552\pi\)
0.0673304 + 0.997731i \(0.478552\pi\)
\(420\) −1.91840 + 9.68403i −0.0936084 + 0.472532i
\(421\) −3.70195 8.93730i −0.180422 0.435577i 0.807632 0.589687i \(-0.200749\pi\)
−0.988054 + 0.154110i \(0.950749\pi\)
\(422\) 5.76739 4.73695i 0.280752 0.230591i
\(423\) 19.5789 19.5789i 0.951959 0.951959i
\(424\) 16.0956 + 30.0280i 0.781672 + 1.45829i
\(425\) −3.02898 3.02898i −0.146927 0.146927i
\(426\) 31.8684 + 3.12619i 1.54403 + 0.151464i
\(427\) −9.47718 + 3.92558i −0.458633 + 0.189972i
\(428\) 22.1566 + 14.7795i 1.07098 + 0.714395i
\(429\) 6.27851 15.1577i 0.303129 0.731819i
\(430\) −0.793279 2.61141i −0.0382553 0.125934i
\(431\) 19.9665i 0.961754i −0.876788 0.480877i \(-0.840318\pi\)
0.876788 0.480877i \(-0.159682\pi\)
\(432\) 3.74743 0.00586171i 0.180298 0.000282022i
\(433\) 33.2683i 1.59877i −0.600816 0.799387i \(-0.705158\pi\)
0.600816 0.799387i \(-0.294842\pi\)
\(434\) −13.8156 + 4.19682i −0.663170 + 0.201454i
\(435\) 7.69835 18.5855i 0.369108 0.891104i
\(436\) 30.2038 6.03247i 1.44650 0.288903i
\(437\) 1.12342 0.465335i 0.0537404 0.0222600i
\(438\) 0.0656066 0.668796i 0.00313480 0.0319563i
\(439\) 5.79889 + 5.79889i 0.276766 + 0.276766i 0.831817 0.555051i \(-0.187301\pi\)
−0.555051 + 0.831817i \(0.687301\pi\)
\(440\) −5.01682 + 6.12766i −0.239168 + 0.292125i
\(441\) 1.84149 1.84149i 0.0876898 0.0876898i
\(442\) −30.4179 37.0347i −1.44683 1.76156i
\(443\) −10.9596 26.4588i −0.520706 1.25709i −0.937466 0.348078i \(-0.886835\pi\)
0.416760 0.909016i \(-0.363165\pi\)
\(444\) −6.51178 + 4.35840i −0.309035 + 0.206841i
\(445\) −17.8289 7.38497i −0.845171 0.350081i
\(446\) −33.1101 17.6811i −1.56781 0.837224i
\(447\) 3.88913 0.183949
\(448\) −4.42894 + 6.66217i −0.209248 + 0.314758i
\(449\) 29.2072 1.37837 0.689186 0.724584i \(-0.257968\pi\)
0.689186 + 0.724584i \(0.257968\pi\)
\(450\) −2.11944 1.13180i −0.0999112 0.0533534i
\(451\) 4.84899 + 2.00852i 0.228330 + 0.0945774i
\(452\) 24.4026 16.3329i 1.14780 0.768237i
\(453\) 3.23293 + 7.80498i 0.151896 + 0.366710i
\(454\) 0.0138633 + 0.0168790i 0.000650636 + 0.000792170i
\(455\) −7.60936 + 7.60936i −0.356732 + 0.356732i
\(456\) −3.33050 2.72674i −0.155965 0.127691i
\(457\) 1.48938 + 1.48938i 0.0696702 + 0.0696702i 0.741083 0.671413i \(-0.234312\pi\)
−0.671413 + 0.741083i \(0.734312\pi\)
\(458\) −1.07228 + 10.9308i −0.0501043 + 0.510765i
\(459\) −5.68329 + 2.35410i −0.265273 + 0.109880i
\(460\) −7.73544 + 1.54496i −0.360667 + 0.0720343i
\(461\) −4.07104 + 9.82835i −0.189607 + 0.457752i −0.989884 0.141879i \(-0.954686\pi\)
0.800277 + 0.599630i \(0.204686\pi\)
\(462\) 4.30158 1.30671i 0.200128 0.0607935i
\(463\) 21.5685i 1.00237i −0.865340 0.501186i \(-0.832897\pi\)
0.865340 0.501186i \(-0.167103\pi\)
\(464\) 11.5090 11.5451i 0.534292 0.535966i
\(465\) 50.3972i 2.33711i
\(466\) −3.46974 11.4221i −0.160733 0.529119i
\(467\) −1.70754 + 4.12236i −0.0790154 + 0.190760i −0.958451 0.285259i \(-0.907921\pi\)
0.879435 + 0.476019i \(0.157921\pi\)
\(468\) −22.3627 14.9170i −1.03372 0.689538i
\(469\) 9.85128 4.08053i 0.454890 0.188422i
\(470\) −31.2019 3.06080i −1.43924 0.141184i
\(471\) −10.6901 10.6901i −0.492576 0.492576i
\(472\) 6.78395 3.63633i 0.312256 0.167376i
\(473\) −0.878835 + 0.878835i −0.0404089 + 0.0404089i
\(474\) 4.27916 3.51461i 0.196548 0.161432i
\(475\) −0.160488 0.387453i −0.00736372 0.0177776i
\(476\) 2.55191 12.8820i 0.116967 0.590444i
\(477\) −28.9816 12.0046i −1.32698 0.549652i
\(478\) 11.8116 22.1188i 0.540251 1.01169i
\(479\) 1.00696 0.0460092 0.0230046 0.999735i \(-0.492677\pi\)
0.0230046 + 0.999735i \(0.492677\pi\)
\(480\) 17.7562 + 21.5500i 0.810458 + 0.983617i
\(481\) −8.54140 −0.389454
\(482\) 17.6928 33.1321i 0.805885 1.50912i
\(483\) 4.13711 + 1.71365i 0.188245 + 0.0779737i
\(484\) −18.0430 3.57431i −0.820136 0.162468i
\(485\) −11.6561 28.1402i −0.529275 1.27778i
\(486\) −22.8791 + 18.7914i −1.03782 + 0.852393i
\(487\) −9.42615 + 9.42615i −0.427139 + 0.427139i −0.887653 0.460513i \(-0.847665\pi\)
0.460513 + 0.887653i \(0.347665\pi\)
\(488\) −8.38977 + 27.7746i −0.379787 + 1.25730i
\(489\) 5.47854 + 5.47854i 0.247748 + 0.247748i
\(490\) −2.93468 0.287882i −0.132575 0.0130052i
\(491\) 23.9603 9.92468i 1.08131 0.447895i 0.230343 0.973109i \(-0.426015\pi\)
0.850970 + 0.525215i \(0.176015\pi\)
\(492\) 10.2692 15.3949i 0.462969 0.694057i
\(493\) −10.2406 + 24.7229i −0.461212 + 1.11346i
\(494\) −1.36376 4.48940i −0.0613586 0.201988i
\(495\) 7.29172i 0.327739i
\(496\) −15.5696 + 37.7553i −0.699096 + 1.69526i
\(497\) 9.56459i 0.429031i
\(498\) −34.3407 + 10.4318i −1.53884 + 0.467460i
\(499\) −15.3246 + 36.9968i −0.686023 + 1.65621i 0.0666215 + 0.997778i \(0.478778\pi\)
−0.752644 + 0.658427i \(0.771222\pi\)
\(500\) 4.61665 + 23.1150i 0.206463 + 1.03373i
\(501\) −26.5471 + 10.9962i −1.18604 + 0.491273i
\(502\) 0.404325 4.12171i 0.0180459 0.183961i
\(503\) −8.75118 8.75118i −0.390196 0.390196i 0.484561 0.874757i \(-0.338979\pi\)
−0.874757 + 0.484561i \(0.838979\pi\)
\(504\) −0.730588 7.32963i −0.0325430 0.326488i
\(505\) −12.1147 + 12.1147i −0.539098 + 0.539098i
\(506\) 2.27994 + 2.77591i 0.101356 + 0.123404i
\(507\) −12.3537 29.8244i −0.548646 1.32455i
\(508\) −4.17199 6.23327i −0.185102 0.276557i
\(509\) 6.48869 + 2.68770i 0.287606 + 0.119130i 0.521822 0.853054i \(-0.325252\pi\)
−0.234216 + 0.972185i \(0.575252\pi\)
\(510\) −40.4326 21.5913i −1.79038 0.956080i
\(511\) 0.200724 0.00887951
\(512\) 6.64456 + 21.6298i 0.293651 + 0.955913i
\(513\) −0.602250 −0.0265900
\(514\) −5.63609 3.00972i −0.248597 0.132753i
\(515\) −3.16795 1.31221i −0.139597 0.0578228i
\(516\) 2.43746 + 3.64175i 0.107303 + 0.160319i
\(517\) 5.46361 + 13.1903i 0.240289 + 0.580110i
\(518\) −1.48550 1.80864i −0.0652690 0.0794672i
\(519\) −2.00277 + 2.00277i −0.0879119 + 0.0879119i
\(520\) 3.01892 + 30.2873i 0.132389 + 1.32819i
\(521\) −16.3470 16.3470i −0.716173 0.716173i 0.251646 0.967819i \(-0.419028\pi\)
−0.967819 + 0.251646i \(0.919028\pi\)
\(522\) −1.46537 + 14.9380i −0.0641373 + 0.653818i
\(523\) −10.2334 + 4.23880i −0.447474 + 0.185350i −0.595029 0.803704i \(-0.702860\pi\)
0.147555 + 0.989054i \(0.452860\pi\)
\(524\) 0.145853 + 0.730268i 0.00637163 + 0.0319019i
\(525\) 0.591017 1.42684i 0.0257941 0.0622724i
\(526\) −35.7439 + 10.8580i −1.55851 + 0.473433i
\(527\) 67.0398i 2.92030i
\(528\) 4.84770 11.7554i 0.210969 0.511586i
\(529\) 19.4220i 0.844433i
\(530\) 10.3240 + 33.9858i 0.448446 + 1.47625i
\(531\) −2.71209 + 6.54756i −0.117695 + 0.284140i
\(532\) 0.713450 1.06956i 0.0309320 0.0463714i
\(533\) 18.6367 7.71955i 0.807243 0.334371i
\(534\) 30.8374 + 3.02504i 1.33446 + 0.130906i
\(535\) 19.6341 + 19.6341i 0.848855 + 0.848855i
\(536\) 8.72094 28.8710i 0.376687 1.24704i
\(537\) −36.6117 + 36.6117i −1.57991 + 1.57991i
\(538\) 9.71766 7.98144i 0.418958 0.344104i
\(539\) 0.513879 + 1.24061i 0.0221343 + 0.0534370i
\(540\) 3.83240 + 0.759196i 0.164920 + 0.0326706i
\(541\) −6.07288 2.51547i −0.261093 0.108148i 0.248297 0.968684i \(-0.420129\pi\)
−0.509390 + 0.860536i \(0.670129\pi\)
\(542\) −1.56242 + 2.92584i −0.0671118 + 0.125676i
\(543\) −10.3979 −0.446218
\(544\) −23.6198 28.6664i −1.01269 1.22906i
\(545\) 32.1108 1.37547
\(546\) 8.13917 15.2416i 0.348324 0.652282i
\(547\) 29.3224 + 12.1457i 1.25374 + 0.519314i 0.907981 0.419011i \(-0.137623\pi\)
0.345755 + 0.938325i \(0.387623\pi\)
\(548\) −7.71303 + 38.9351i −0.329484 + 1.66323i
\(549\) −10.2232 24.6810i −0.436316 1.05336i
\(550\) 0.957377 0.786325i 0.0408227 0.0335290i
\(551\) −1.85251 + 1.85251i −0.0789197 + 0.0789197i
\(552\) 11.1631 5.98364i 0.475132 0.254681i
\(553\) 1.16956 + 1.16956i 0.0497348 + 0.0497348i
\(554\) 14.3947 + 1.41207i 0.611570 + 0.0599929i
\(555\) −7.54730 + 3.12619i −0.320365 + 0.132700i
\(556\) −37.8822 25.2693i −1.60656 1.07166i
\(557\) −9.72719 + 23.4835i −0.412154 + 0.995028i 0.572404 + 0.819972i \(0.306011\pi\)
−0.984558 + 0.175057i \(0.943989\pi\)
\(558\) −10.9296 35.9794i −0.462686 1.52313i
\(559\) 4.77682i 0.202038i
\(560\) −5.88831 + 5.90676i −0.248826 + 0.249606i
\(561\) 20.8733i 0.881271i
\(562\) 37.3895 11.3579i 1.57718 0.479106i
\(563\) −2.76493 + 6.67513i −0.116528 + 0.281323i −0.971373 0.237560i \(-0.923652\pi\)
0.854845 + 0.518884i \(0.173652\pi\)
\(564\) 49.3645 9.85935i 2.07862 0.415154i
\(565\) 28.2832 11.7153i 1.18988 0.492866i
\(566\) 0.706624 7.20335i 0.0297016 0.302779i
\(567\) −7.09272 7.09272i −0.297866 0.297866i
\(568\) 20.9322 + 17.1375i 0.878295 + 0.719075i
\(569\) −8.85720 + 8.85720i −0.371313 + 0.371313i −0.867955 0.496642i \(-0.834566\pi\)
0.496642 + 0.867955i \(0.334566\pi\)
\(570\) −2.84819 3.46776i −0.119297 0.145248i
\(571\) −15.5860 37.6279i −0.652253 1.57468i −0.809501 0.587118i \(-0.800262\pi\)
0.157249 0.987559i \(-0.449738\pi\)
\(572\) 11.5188 7.70965i 0.481625 0.322357i
\(573\) −13.3999 5.55043i −0.559790 0.231873i
\(574\) 4.87586 + 2.60375i 0.203514 + 0.108678i
\(575\) 1.23403 0.0514624
\(576\) −17.3500 11.5341i −0.722916 0.480587i
\(577\) −19.4322 −0.808973 −0.404487 0.914544i \(-0.632550\pi\)
−0.404487 + 0.914544i \(0.632550\pi\)
\(578\) 32.5773 + 17.3965i 1.35504 + 0.723601i
\(579\) 42.3717 + 17.5509i 1.76091 + 0.729391i
\(580\) 14.1237 9.45313i 0.586454 0.392520i
\(581\) −4.10243 9.90415i −0.170198 0.410893i
\(582\) 31.0403 + 37.7926i 1.28666 + 1.56655i
\(583\) 11.4375 11.4375i 0.473691 0.473691i
\(584\) 0.359651 0.439286i 0.0148825 0.0181778i
\(585\) −19.8167 19.8167i −0.819320 0.819320i
\(586\) 0.776924 7.91999i 0.0320944 0.327172i
\(587\) −15.4268 + 6.38998i −0.636731 + 0.263743i −0.677610 0.735421i \(-0.736984\pi\)
0.0408789 + 0.999164i \(0.486984\pi\)
\(588\) 4.64296 0.927318i 0.191473 0.0382420i
\(589\) 2.51168 6.06373i 0.103492 0.249852i
\(590\) 7.67811 2.33241i 0.316103 0.0960238i
\(591\) 33.7327i 1.38758i
\(592\) −6.61989 + 0.0103548i −0.272076 + 0.000425581i
\(593\) 8.33506i 0.342280i −0.985247 0.171140i \(-0.945255\pi\)
0.985247 0.171140i \(-0.0547450\pi\)
\(594\) −0.517122 1.70233i −0.0212178 0.0698473i
\(595\) 5.23934 12.6489i 0.214792 0.518553i
\(596\) 2.73336 + 1.82328i 0.111963 + 0.0746845i
\(597\) 7.77912 3.22222i 0.318378 0.131877i
\(598\) 13.7403 + 1.34787i 0.561882 + 0.0551187i
\(599\) −5.05427 5.05427i −0.206512 0.206512i 0.596271 0.802783i \(-0.296648\pi\)
−0.802783 + 0.596271i \(0.796648\pi\)
\(600\) −2.06369 3.85001i −0.0842496 0.157176i
\(601\) −3.80362 + 3.80362i −0.155153 + 0.155153i −0.780415 0.625262i \(-0.784992\pi\)
0.625262 + 0.780415i \(0.284992\pi\)
\(602\) −1.01149 + 0.830772i −0.0412254 + 0.0338598i
\(603\) 10.6268 + 25.6553i 0.432755 + 1.04476i
\(604\) −1.38692 + 7.00114i −0.0564331 + 0.284872i
\(605\) −17.7165 7.33842i −0.720279 0.298349i
\(606\) 12.9582 24.2659i 0.526392 0.985736i
\(607\) −30.9804 −1.25746 −0.628729 0.777625i \(-0.716424\pi\)
−0.628729 + 0.777625i \(0.716424\pi\)
\(608\) −1.06241 3.47780i −0.0430864 0.141043i
\(609\) −9.64788 −0.390952
\(610\) −14.2486 + 26.6824i −0.576911 + 1.08034i
\(611\) 50.6958 + 20.9989i 2.05093 + 0.849524i
\(612\) 33.5479 + 6.64583i 1.35610 + 0.268642i
\(613\) −6.78488 16.3802i −0.274039 0.661588i 0.725609 0.688107i \(-0.241558\pi\)
−0.999648 + 0.0265184i \(0.991558\pi\)
\(614\) −23.4461 + 19.2571i −0.946209 + 0.777153i
\(615\) 13.6422 13.6422i 0.550107 0.550107i
\(616\) 3.63584 + 1.09826i 0.146492 + 0.0442503i
\(617\) 23.2881 + 23.2881i 0.937545 + 0.937545i 0.998161 0.0606166i \(-0.0193067\pi\)
−0.0606166 + 0.998161i \(0.519307\pi\)
\(618\) 5.47938 + 0.537509i 0.220413 + 0.0216218i
\(619\) 29.5955 12.2588i 1.18954 0.492724i 0.301936 0.953328i \(-0.402367\pi\)
0.887606 + 0.460604i \(0.152367\pi\)
\(620\) −23.6269 + 35.4202i −0.948881 + 1.42251i
\(621\) 0.678166 1.63724i 0.0272139 0.0657001i
\(622\) 11.4827 + 37.8002i 0.460414 + 1.51565i
\(623\) 9.25515i 0.370800i
\(624\) −18.7729 45.1221i −0.751519 1.80633i
\(625\) 21.3125i 0.852500i
\(626\) 13.9452 4.23620i 0.557364 0.169313i
\(627\) −0.782028 + 1.88798i −0.0312312 + 0.0753988i
\(628\) −2.50155 12.5249i −0.0998228 0.499800i
\(629\) 10.0396 4.15855i 0.400306 0.165812i
\(630\) 0.749719 7.64266i 0.0298695 0.304491i
\(631\) 10.5101 + 10.5101i 0.418399 + 0.418399i 0.884652 0.466253i \(-0.154396\pi\)
−0.466253 + 0.884652i \(0.654396\pi\)
\(632\) 4.65518 0.464010i 0.185173 0.0184573i
\(633\) −8.83411 + 8.83411i −0.351124 + 0.351124i
\(634\) 11.5195 + 14.0253i 0.457496 + 0.557017i
\(635\) −2.99248 7.22450i −0.118753 0.286695i
\(636\) −31.7219 47.3950i −1.25786 1.87933i
\(637\) 4.76818 + 1.97504i 0.188922 + 0.0782541i
\(638\) −6.82699 3.64567i −0.270283 0.144334i
\(639\) −24.9086 −0.985371
\(640\) 2.37649 + 23.4701i 0.0939392 + 0.927739i
\(641\) 11.8514 0.468102 0.234051 0.972224i \(-0.424802\pi\)
0.234051 + 0.972224i \(0.424802\pi\)
\(642\) −39.3273 21.0011i −1.55213 0.828848i
\(643\) −29.1304 12.0662i −1.14879 0.475845i −0.274664 0.961540i \(-0.588567\pi\)
−0.874128 + 0.485695i \(0.838567\pi\)
\(644\) 2.10426 + 3.14392i 0.0829195 + 0.123888i
\(645\) 1.74834 + 4.22087i 0.0688408 + 0.166197i
\(646\) 3.78874 + 4.61291i 0.149066 + 0.181492i
\(647\) −13.4421 + 13.4421i −0.528463 + 0.528463i −0.920114 0.391651i \(-0.871904\pi\)
0.391651 + 0.920114i \(0.371904\pi\)
\(648\) −28.2310 + 2.81395i −1.10902 + 0.110543i
\(649\) −2.58396 2.58396i −0.101429 0.101429i
\(650\) 0.464866 4.73886i 0.0182335 0.185873i
\(651\) 22.3304 9.24954i 0.875196 0.362518i
\(652\) 1.28201 + 6.41885i 0.0502073 + 0.251381i
\(653\) −11.6652 + 28.1624i −0.456496 + 1.10208i 0.513310 + 0.858203i \(0.328419\pi\)
−0.969806 + 0.243876i \(0.921581\pi\)
\(654\) −49.3324 + 14.9859i −1.92905 + 0.585995i
\(655\) 0.776376i 0.0303355i
\(656\) 14.4347 6.00553i 0.563582 0.234477i
\(657\) 0.522737i 0.0203939i
\(658\) 4.37037 + 14.3869i 0.170375 + 0.560861i
\(659\) 6.54885 15.8103i 0.255107 0.615883i −0.743495 0.668742i \(-0.766833\pi\)
0.998602 + 0.0528586i \(0.0168333\pi\)
\(660\) 7.35641 11.0283i 0.286348 0.429276i
\(661\) 37.6737 15.6050i 1.46534 0.606963i 0.499547 0.866287i \(-0.333500\pi\)
0.965790 + 0.259324i \(0.0834997\pi\)
\(662\) −25.9599 2.54657i −1.00896 0.0989754i
\(663\) 56.7273 + 56.7273i 2.20311 + 2.20311i
\(664\) −29.0259 8.76775i −1.12642 0.340255i
\(665\) 0.947794 0.947794i 0.0367539 0.0367539i
\(666\) 4.71017 3.86862i 0.182515 0.149906i
\(667\) −2.95009 7.12215i −0.114228 0.275771i
\(668\) −23.8130 4.71735i −0.921353 0.182520i
\(669\) 58.0497 + 24.0450i 2.24433 + 0.929632i
\(670\) 14.8111 27.7357i 0.572202 1.07152i
\(671\) 13.7748 0.531770
\(672\) 6.28967 11.8227i 0.242629 0.456070i
\(673\) 9.56376 0.368656 0.184328 0.982865i \(-0.440989\pi\)
0.184328 + 0.982865i \(0.440989\pi\)
\(674\) 16.0828 30.1171i 0.619486 1.16007i
\(675\) −0.564664 0.233891i −0.0217339 0.00900249i
\(676\) 5.29971 26.7528i 0.203835 1.02895i
\(677\) 7.96920 + 19.2394i 0.306281 + 0.739428i 0.999819 + 0.0190084i \(0.00605092\pi\)
−0.693538 + 0.720420i \(0.743949\pi\)
\(678\) −37.9846 + 31.1980i −1.45879 + 1.19815i
\(679\) −10.3293 + 10.3293i −0.396403 + 0.396403i
\(680\) −18.2945 34.1302i −0.701561 1.30883i
\(681\) −0.0258541 0.0258541i −0.000990731 0.000990731i
\(682\) 19.2965 + 1.89292i 0.738900 + 0.0724836i
\(683\) −7.40302 + 3.06643i −0.283269 + 0.117334i −0.519794 0.854292i \(-0.673991\pi\)
0.236525 + 0.971625i \(0.423991\pi\)
\(684\) 2.78541 + 1.85801i 0.106503 + 0.0710426i
\(685\) −15.8356 + 38.2306i −0.605049 + 1.46072i
\(686\) 0.411054 + 1.35316i 0.0156941 + 0.0516638i
\(687\) 18.3856i 0.701453i
\(688\) 0.00579099 + 3.70221i 0.000220779 + 0.141145i
\(689\) 62.1672i 2.36838i
\(690\) 12.6344 3.83801i 0.480985 0.146111i
\(691\) −5.54288 + 13.3817i −0.210861 + 0.509064i −0.993556 0.113342i \(-0.963845\pi\)
0.782695 + 0.622406i \(0.213845\pi\)
\(692\) −2.34652 + 0.468659i −0.0892012 + 0.0178158i
\(693\) −3.23087 + 1.33827i −0.122731 + 0.0508367i
\(694\) −0.290415 + 2.96051i −0.0110240 + 0.112379i
\(695\) −33.5694 33.5694i −1.27336 1.27336i
\(696\) −17.2868 + 21.1145i −0.655254 + 0.800342i
\(697\) −18.1473 + 18.1473i −0.687377 + 0.687377i
\(698\) 19.1386 + 23.3019i 0.724409 + 0.881991i
\(699\) 7.64710 + 18.4617i 0.289240 + 0.698287i
\(700\) 1.08430 0.725735i 0.0409828 0.0274302i
\(701\) 13.2322 + 5.48095i 0.499772 + 0.207012i 0.618306 0.785938i \(-0.287819\pi\)
−0.118534 + 0.992950i \(0.537819\pi\)
\(702\) −6.03179 3.22103i −0.227655 0.121570i
\(703\) 1.06389 0.0401252
\(704\) 8.91815 5.98923i 0.336115 0.225728i
\(705\) 52.4813 1.97656
\(706\) −8.00723 4.27593i −0.301356 0.160927i
\(707\) 7.59133 + 3.14443i 0.285501 + 0.118259i
\(708\) −10.7075 + 7.16665i −0.402413 + 0.269339i
\(709\) 9.17480 + 22.1499i 0.344567 + 0.831858i 0.997242 + 0.0742201i \(0.0236467\pi\)
−0.652675 + 0.757638i \(0.726353\pi\)
\(710\) 17.9008 + 21.7948i 0.671805 + 0.817945i
\(711\) −3.04584 + 3.04584i −0.114228 + 0.114228i
\(712\) 20.2550 + 16.5831i 0.759086 + 0.621477i
\(713\) 13.6562 + 13.6562i 0.511428 + 0.511428i
\(714\) −2.14615 + 21.8779i −0.0803175 + 0.818759i
\(715\) 13.3505 5.52998i 0.499282 0.206809i
\(716\) −42.8956 + 8.56734i −1.60308 + 0.320176i
\(717\) −16.0629 + 38.7793i −0.599881 + 1.44824i
\(718\) 39.9737 12.1430i 1.49180 0.453171i
\(719\) 1.35702i 0.0506084i 0.999680 + 0.0253042i \(0.00805543\pi\)
−0.999680 + 0.0253042i \(0.991945\pi\)
\(720\) −15.3827 15.3347i −0.573279 0.571489i
\(721\) 1.64451i 0.0612449i
\(722\) −7.64016 25.1508i −0.284337 0.936016i
\(723\) −24.0609 + 58.0881i −0.894834 + 2.16032i
\(724\) −7.30787 4.87470i −0.271595 0.181167i
\(725\) −2.45635 + 1.01745i −0.0912264 + 0.0377872i
\(726\) 30.6430 + 3.00598i 1.13727 + 0.111562i
\(727\) 33.5777 + 33.5777i 1.24533 + 1.24533i 0.957761 + 0.287566i \(0.0928460\pi\)
0.287566 + 0.957761i \(0.407154\pi\)
\(728\) 12.8659 6.89637i 0.476841 0.255597i
\(729\) 13.7665 13.7665i 0.509870 0.509870i
\(730\) 0.457389 0.375669i 0.0169287 0.0139041i
\(731\) −2.32569 5.61472i −0.0860188 0.207668i
\(732\) 9.43795 47.6425i 0.348837 1.76092i
\(733\) −34.1779 14.1570i −1.26239 0.522900i −0.351749 0.936095i \(-0.614413\pi\)
−0.910643 + 0.413195i \(0.864413\pi\)
\(734\) −8.22699 + 15.4061i −0.303664 + 0.568649i
\(735\) 4.93611 0.182071
\(736\) 10.6509 + 1.02799i 0.392596 + 0.0378924i
\(737\) −14.3185 −0.527430
\(738\) −6.78083 + 12.6980i −0.249606 + 0.467419i
\(739\) −1.08042 0.447523i −0.0397438 0.0164624i 0.362723 0.931897i \(-0.381847\pi\)
−0.402467 + 0.915435i \(0.631847\pi\)
\(740\) −6.77000 1.34113i −0.248870 0.0493010i
\(741\) 3.00565 + 7.25629i 0.110415 + 0.266566i
\(742\) 13.1639 10.8120i 0.483262 0.396919i
\(743\) 23.5373 23.5373i 0.863500 0.863500i −0.128243 0.991743i \(-0.540934\pi\)
0.991743 + 0.128243i \(0.0409338\pi\)
\(744\) 19.7682 65.4432i 0.724736 2.39927i
\(745\) 2.42217 + 2.42217i 0.0887413 + 0.0887413i
\(746\) −7.44753 0.730577i −0.272673 0.0267483i
\(747\) 25.7929 10.6838i 0.943715 0.390899i
\(748\) −9.78570 + 14.6702i −0.357801 + 0.536394i
\(749\) 5.09612 12.3031i 0.186208 0.449546i
\(750\) −11.4687 37.7541i −0.418778 1.37859i
\(751\) 7.55039i 0.275517i 0.990466 + 0.137759i \(0.0439899\pi\)
−0.990466 + 0.137759i \(0.956010\pi\)
\(752\) 39.3166 + 16.2135i 1.43373 + 0.591244i
\(753\) 6.93268i 0.252641i
\(754\) −28.4616 + 8.64587i −1.03651 + 0.314864i
\(755\) −2.84750 + 6.87446i −0.103631 + 0.250187i
\(756\) −0.366981 1.83743i −0.0133470 0.0668265i
\(757\) 22.2943 9.23462i 0.810302 0.335638i 0.0612272 0.998124i \(-0.480499\pi\)
0.749074 + 0.662486i \(0.230499\pi\)
\(758\) −2.79443 + 28.4865i −0.101498 + 1.03468i
\(759\) −4.25195 4.25195i −0.154336 0.154336i
\(760\) −0.376026 3.77248i −0.0136399 0.136842i
\(761\) 18.4084 18.4084i 0.667303 0.667303i −0.289788 0.957091i \(-0.593585\pi\)
0.957091 + 0.289788i \(0.0935847\pi\)
\(762\) 7.96904 + 9.70256i 0.288688 + 0.351487i
\(763\) −5.89338 14.2279i −0.213355 0.515084i
\(764\) −6.81561 10.1830i −0.246580 0.368409i
\(765\) 32.9409 + 13.6446i 1.19098 + 0.493321i
\(766\) 8.96040 + 4.78493i 0.323752 + 0.172886i
\(767\) −14.0449 −0.507131
\(768\) −14.6044 34.9485i −0.526992 1.26110i
\(769\) −17.6323 −0.635835 −0.317918 0.948118i \(-0.602984\pi\)
−0.317918 + 0.948118i \(0.602984\pi\)
\(770\) 3.49287 + 1.86522i 0.125874 + 0.0672179i
\(771\) 9.88137 + 4.09300i 0.355869 + 0.147406i
\(772\) 21.5515 + 32.1996i 0.775657 + 1.15889i
\(773\) 11.4582 + 27.6625i 0.412122 + 0.994951i 0.984567 + 0.175008i \(0.0559950\pi\)
−0.572445 + 0.819943i \(0.694005\pi\)
\(774\) −2.16354 2.63418i −0.0777670