Properties

Label 84.2.o.a.19.4
Level $84$
Weight $2$
Character 84.19
Analytic conductor $0.671$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 84 = 2^{2} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 84.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.670743376979\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{6})\)
Coefficient field: 8.0.562828176.1
Defining polynomial: \(x^{8} - 2 x^{7} + x^{6} + 2 x^{5} - 6 x^{4} + 4 x^{3} + 4 x^{2} - 16 x + 16\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.4
Root \(0.0777157 - 1.41208i\) of defining polynomial
Character \(\chi\) \(=\) 84.19
Dual form 84.2.o.a.31.4

$q$-expansion

\(f(q)\) \(=\) \(q+(1.26175 + 0.638735i) q^{2} +(-0.500000 - 0.866025i) q^{3} +(1.18404 + 1.61185i) q^{4} +(0.380152 + 0.219481i) q^{5} +(-0.0777157 - 1.41208i) q^{6} +(-2.02350 - 1.70453i) q^{7} +(0.464416 + 2.79004i) q^{8} +(-0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(1.26175 + 0.638735i) q^{2} +(-0.500000 - 0.866025i) q^{3} +(1.18404 + 1.61185i) q^{4} +(0.380152 + 0.219481i) q^{5} +(-0.0777157 - 1.41208i) q^{6} +(-2.02350 - 1.70453i) q^{7} +(0.464416 + 2.79004i) q^{8} +(-0.500000 + 0.866025i) q^{9} +(0.339468 + 0.519747i) q^{10} +(-1.83249 + 1.05799i) q^{11} +(0.803884 - 1.83133i) q^{12} -3.84803i q^{13} +(-1.46442 - 3.44318i) q^{14} -0.438962i q^{15} +(-1.19612 + 3.81698i) q^{16} +(-4.89158 + 2.82415i) q^{17} +(-1.18404 + 0.773342i) q^{18} +(1.48792 - 2.57715i) q^{19} +(0.0963438 + 0.872621i) q^{20} +(-0.464416 + 2.60467i) q^{21} +(-2.98792 + 0.164445i) q^{22} +(4.13127 + 2.38519i) q^{23} +(2.18404 - 1.79722i) q^{24} +(-2.40366 - 4.16325i) q^{25} +(2.45787 - 4.85526i) q^{26} +1.00000 q^{27} +(0.351547 - 5.27981i) q^{28} +7.02285 q^{29} +(0.280380 - 0.553861i) q^{30} +(3.71264 + 6.43048i) q^{31} +(-3.94724 + 4.05208i) q^{32} +(1.83249 + 1.05799i) q^{33} +(-7.97584 + 0.438962i) q^{34} +(-0.395127 - 1.09210i) q^{35} +(-1.98792 + 0.219481i) q^{36} +(2.64335 - 4.57842i) q^{37} +(3.52350 - 2.30134i) q^{38} +(-3.33249 + 1.92401i) q^{39} +(-0.435811 + 1.16257i) q^{40} +6.81813i q^{41} +(-2.24967 + 2.98981i) q^{42} +4.38646i q^{43} +(-3.87505 - 1.70100i) q^{44} +(-0.380152 + 0.219481i) q^{45} +(3.68914 + 5.64831i) q^{46} +(0.844569 - 1.46284i) q^{47} +(3.90366 - 0.872621i) q^{48} +(1.18914 + 6.89826i) q^{49} +(-0.373604 - 6.78829i) q^{50} +(4.89158 + 2.82415i) q^{51} +(6.20244 - 4.55620i) q^{52} +(-5.35599 - 9.27685i) q^{53} +(1.26175 + 0.638735i) q^{54} -0.928833 q^{55} +(3.81596 - 6.43727i) q^{56} -2.97584 q^{57} +(8.86109 + 4.48574i) q^{58} +(-4.05909 - 7.03055i) q^{59} +(0.707540 - 0.519747i) q^{60} +(5.35787 + 3.09337i) q^{61} +(0.577061 + 10.4851i) q^{62} +(2.48792 - 0.900140i) q^{63} +(-7.56863 + 2.59148i) q^{64} +(0.844569 - 1.46284i) q^{65} +(1.63637 + 2.50539i) q^{66} +(6.79878 - 3.92528i) q^{67} +(-10.3439 - 4.54058i) q^{68} -4.77038i q^{69} +(0.199011 - 1.63034i) q^{70} -1.16982i q^{71} +(-2.64845 - 0.992823i) q^{72} +(-8.69036 + 5.01738i) q^{73} +(6.25965 - 4.08843i) q^{74} +(-2.40366 + 4.16325i) q^{75} +(5.91574 - 0.653140i) q^{76} +(5.51142 + 0.982694i) q^{77} +(-5.43371 + 0.299052i) q^{78} +(-13.4958 - 7.79180i) q^{79} +(-1.29246 + 1.18851i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-4.35498 + 8.60279i) q^{82} -5.49645 q^{83} +(-4.74822 + 2.33546i) q^{84} -2.47939 q^{85} +(-2.80178 + 5.53462i) q^{86} +(-3.51142 - 6.08197i) q^{87} +(-3.80287 - 4.62137i) q^{88} +(-9.02285 - 5.20934i) q^{89} +(-0.619848 + 0.0341142i) q^{90} +(-6.55909 + 7.78650i) q^{91} +(1.04701 + 9.48314i) q^{92} +(3.71264 - 6.43048i) q^{93} +(2.00000 - 1.30628i) q^{94} +(1.13127 - 0.653140i) q^{95} +(5.48282 + 1.39237i) q^{96} +2.22605i q^{97} +(-2.90576 + 9.46343i) q^{98} -2.11598i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8 q + q^{2} - 4 q^{3} - q^{4} - 2 q^{6} + 2 q^{7} + 4 q^{8} - 4 q^{9} + O(q^{10}) \) \( 8 q + q^{2} - 4 q^{3} - q^{4} - 2 q^{6} + 2 q^{7} + 4 q^{8} - 4 q^{9} - 5 q^{10} + 6 q^{11} - q^{12} - 12 q^{14} - 17 q^{16} + q^{18} - 6 q^{19} + 22 q^{20} - 4 q^{21} - 6 q^{22} + 7 q^{24} + 2 q^{25} + 18 q^{26} + 8 q^{27} + 13 q^{28} - 16 q^{29} + 13 q^{30} + 6 q^{31} - 9 q^{32} - 6 q^{33} - 28 q^{34} - 12 q^{35} + 2 q^{36} + 6 q^{37} + 10 q^{38} - 6 q^{39} - 17 q^{40} + 9 q^{42} - 23 q^{44} + 24 q^{46} + 4 q^{47} + 10 q^{48} + 4 q^{49} + 2 q^{50} + 16 q^{52} - 4 q^{53} + q^{54} - 8 q^{55} + 41 q^{56} + 12 q^{57} + 37 q^{58} - 14 q^{59} - 23 q^{60} + 12 q^{61} - 48 q^{62} + 2 q^{63} + 2 q^{64} + 4 q^{65} - 15 q^{66} + 42 q^{67} - 26 q^{68} + 3 q^{70} - 11 q^{72} - 18 q^{73} - 10 q^{74} + 2 q^{75} + 44 q^{76} + 8 q^{77} - 6 q^{78} - 6 q^{79} - 39 q^{80} - 4 q^{81} - 10 q^{82} + 4 q^{83} - 14 q^{84} - 32 q^{85} + 36 q^{86} + 8 q^{87} - 37 q^{88} - 8 q^{90} - 34 q^{91} - 28 q^{92} + 6 q^{93} + 16 q^{94} - 24 q^{95} + 21 q^{96} - 53 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/84\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(43\) \(73\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.26175 + 0.638735i 0.892193 + 0.451654i
\(3\) −0.500000 0.866025i −0.288675 0.500000i
\(4\) 1.18404 + 1.61185i 0.592018 + 0.805925i
\(5\) 0.380152 + 0.219481i 0.170009 + 0.0981549i 0.582590 0.812766i \(-0.302039\pi\)
−0.412581 + 0.910921i \(0.635373\pi\)
\(6\) −0.0777157 1.41208i −0.0317273 0.576478i
\(7\) −2.02350 1.70453i −0.764813 0.644253i
\(8\) 0.464416 + 2.79004i 0.164196 + 0.986428i
\(9\) −0.500000 + 0.866025i −0.166667 + 0.288675i
\(10\) 0.339468 + 0.519747i 0.107349 + 0.164358i
\(11\) −1.83249 + 1.05799i −0.552516 + 0.318995i −0.750136 0.661283i \(-0.770012\pi\)
0.197620 + 0.980279i \(0.436679\pi\)
\(12\) 0.803884 1.83133i 0.232061 0.528659i
\(13\) 3.84803i 1.06725i −0.845721 0.533625i \(-0.820829\pi\)
0.845721 0.533625i \(-0.179171\pi\)
\(14\) −1.46442 3.44318i −0.391382 0.920228i
\(15\) 0.438962i 0.113339i
\(16\) −1.19612 + 3.81698i −0.299029 + 0.954244i
\(17\) −4.89158 + 2.82415i −1.18638 + 0.684958i −0.957482 0.288492i \(-0.906846\pi\)
−0.228899 + 0.973450i \(0.573513\pi\)
\(18\) −1.18404 + 0.773342i −0.279080 + 0.182278i
\(19\) 1.48792 2.57715i 0.341352 0.591240i −0.643332 0.765588i \(-0.722448\pi\)
0.984684 + 0.174348i \(0.0557817\pi\)
\(20\) 0.0963438 + 0.872621i 0.0215431 + 0.195124i
\(21\) −0.464416 + 2.60467i −0.101344 + 0.568386i
\(22\) −2.98792 + 0.164445i −0.637027 + 0.0350597i
\(23\) 4.13127 + 2.38519i 0.861430 + 0.497347i 0.864491 0.502649i \(-0.167641\pi\)
−0.00306100 + 0.999995i \(0.500974\pi\)
\(24\) 2.18404 1.79722i 0.445815 0.366855i
\(25\) −2.40366 4.16325i −0.480731 0.832651i
\(26\) 2.45787 4.85526i 0.482028 0.952194i
\(27\) 1.00000 0.192450
\(28\) 0.351547 5.27981i 0.0664362 0.997791i
\(29\) 7.02285 1.30411 0.652055 0.758172i \(-0.273907\pi\)
0.652055 + 0.758172i \(0.273907\pi\)
\(30\) 0.280380 0.553861i 0.0511902 0.101121i
\(31\) 3.71264 + 6.43048i 0.666810 + 1.15495i 0.978791 + 0.204861i \(0.0656741\pi\)
−0.311981 + 0.950088i \(0.600993\pi\)
\(32\) −3.94724 + 4.05208i −0.697779 + 0.716313i
\(33\) 1.83249 + 1.05799i 0.318995 + 0.184172i
\(34\) −7.97584 + 0.438962i −1.36785 + 0.0752813i
\(35\) −0.395127 1.09210i −0.0667887 0.184599i
\(36\) −1.98792 + 0.219481i −0.331320 + 0.0365802i
\(37\) 2.64335 4.57842i 0.434564 0.752688i −0.562696 0.826664i \(-0.690236\pi\)
0.997260 + 0.0739766i \(0.0235690\pi\)
\(38\) 3.52350 2.30134i 0.571588 0.373327i
\(39\) −3.33249 + 1.92401i −0.533625 + 0.308089i
\(40\) −0.435811 + 1.16257i −0.0689078 + 0.183818i
\(41\) 6.81813i 1.06481i 0.846489 + 0.532407i \(0.178712\pi\)
−0.846489 + 0.532407i \(0.821288\pi\)
\(42\) −2.24967 + 2.98981i −0.347132 + 0.461338i
\(43\) 4.38646i 0.668928i 0.942408 + 0.334464i \(0.108555\pi\)
−0.942408 + 0.334464i \(0.891445\pi\)
\(44\) −3.87505 1.70100i −0.584186 0.256435i
\(45\) −0.380152 + 0.219481i −0.0566697 + 0.0327183i
\(46\) 3.68914 + 5.64831i 0.543934 + 0.832797i
\(47\) 0.844569 1.46284i 0.123193 0.213377i −0.797832 0.602880i \(-0.794020\pi\)
0.921025 + 0.389503i \(0.127353\pi\)
\(48\) 3.90366 0.872621i 0.563444 0.125952i
\(49\) 1.18914 + 6.89826i 0.169877 + 0.985465i
\(50\) −0.373604 6.78829i −0.0528355 0.960010i
\(51\) 4.89158 + 2.82415i 0.684958 + 0.395461i
\(52\) 6.20244 4.55620i 0.860124 0.631832i
\(53\) −5.35599 9.27685i −0.735702 1.27427i −0.954415 0.298484i \(-0.903519\pi\)
0.218712 0.975789i \(-0.429814\pi\)
\(54\) 1.26175 + 0.638735i 0.171703 + 0.0869208i
\(55\) −0.928833 −0.125244
\(56\) 3.81596 6.43727i 0.509930 0.860216i
\(57\) −2.97584 −0.394160
\(58\) 8.86109 + 4.48574i 1.16352 + 0.589006i
\(59\) −4.05909 7.03055i −0.528448 0.915299i −0.999450 0.0331668i \(-0.989441\pi\)
0.471002 0.882132i \(-0.343893\pi\)
\(60\) 0.707540 0.519747i 0.0913431 0.0670990i
\(61\) 5.35787 + 3.09337i 0.686005 + 0.396065i 0.802114 0.597171i \(-0.203709\pi\)
−0.116109 + 0.993237i \(0.537042\pi\)
\(62\) 0.577061 + 10.4851i 0.0732868 + 1.33160i
\(63\) 2.48792 0.900140i 0.313449 0.113407i
\(64\) −7.56863 + 2.59148i −0.946079 + 0.323935i
\(65\) 0.844569 1.46284i 0.104756 0.181442i
\(66\) 1.63637 + 2.50539i 0.201424 + 0.308393i
\(67\) 6.79878 3.92528i 0.830604 0.479549i −0.0234557 0.999725i \(-0.507467\pi\)
0.854059 + 0.520176i \(0.174134\pi\)
\(68\) −10.3439 4.54058i −1.25438 0.550627i
\(69\) 4.77038i 0.574287i
\(70\) 0.199011 1.63034i 0.0237864 0.194863i
\(71\) 1.16982i 0.138833i −0.997588 0.0694163i \(-0.977886\pi\)
0.997588 0.0694163i \(-0.0221137\pi\)
\(72\) −2.64845 0.992823i −0.312123 0.117005i
\(73\) −8.69036 + 5.01738i −1.01713 + 0.587240i −0.913271 0.407352i \(-0.866452\pi\)
−0.103858 + 0.994592i \(0.533119\pi\)
\(74\) 6.25965 4.08843i 0.727669 0.475270i
\(75\) −2.40366 + 4.16325i −0.277550 + 0.480731i
\(76\) 5.91574 0.653140i 0.678581 0.0749203i
\(77\) 5.51142 + 0.982694i 0.628085 + 0.111988i
\(78\) −5.43371 + 0.299052i −0.615246 + 0.0338610i
\(79\) −13.4958 7.79180i −1.51840 0.876646i −0.999766 0.0216472i \(-0.993109\pi\)
−0.518630 0.854999i \(-0.673558\pi\)
\(80\) −1.29246 + 1.18851i −0.144501 + 0.132879i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −4.35498 + 8.60279i −0.480927 + 0.950019i
\(83\) −5.49645 −0.603314 −0.301657 0.953417i \(-0.597540\pi\)
−0.301657 + 0.953417i \(0.597540\pi\)
\(84\) −4.74822 + 2.33546i −0.518074 + 0.254819i
\(85\) −2.47939 −0.268928
\(86\) −2.80178 + 5.53462i −0.302124 + 0.596814i
\(87\) −3.51142 6.08197i −0.376464 0.652055i
\(88\) −3.80287 4.62137i −0.405387 0.492640i
\(89\) −9.02285 5.20934i −0.956420 0.552189i −0.0613507 0.998116i \(-0.519541\pi\)
−0.895069 + 0.445927i \(0.852874\pi\)
\(90\) −0.619848 + 0.0341142i −0.0653377 + 0.00359595i
\(91\) −6.55909 + 7.78650i −0.687579 + 0.816247i
\(92\) 1.04701 + 9.48314i 0.109158 + 0.988686i
\(93\) 3.71264 6.43048i 0.384983 0.666810i
\(94\) 2.00000 1.30628i 0.206284 0.134733i
\(95\) 1.13127 0.653140i 0.116066 0.0670108i
\(96\) 5.48282 + 1.39237i 0.559588 + 0.142108i
\(97\) 2.22605i 0.226021i 0.993594 + 0.113011i \(0.0360494\pi\)
−0.993594 + 0.113011i \(0.963951\pi\)
\(98\) −2.90576 + 9.46343i −0.293526 + 0.955951i
\(99\) 2.11598i 0.212664i
\(100\) 3.86452 8.80378i 0.386452 0.880378i
\(101\) −0.664978 + 0.383925i −0.0661678 + 0.0382020i −0.532719 0.846292i \(-0.678830\pi\)
0.466551 + 0.884494i \(0.345496\pi\)
\(102\) 4.36807 + 6.68780i 0.432504 + 0.662191i
\(103\) 4.31939 7.48141i 0.425602 0.737165i −0.570874 0.821038i \(-0.693396\pi\)
0.996476 + 0.0838727i \(0.0267289\pi\)
\(104\) 10.7361 1.78709i 1.05277 0.175238i
\(105\) −0.748225 + 0.888241i −0.0730193 + 0.0866835i
\(106\) −0.832489 15.1261i −0.0808585 1.46918i
\(107\) −2.20346 1.27217i −0.213016 0.122985i 0.389696 0.920943i \(-0.372580\pi\)
−0.602712 + 0.797959i \(0.705913\pi\)
\(108\) 1.18404 + 1.61185i 0.113934 + 0.155100i
\(109\) 3.40366 + 5.89531i 0.326011 + 0.564668i 0.981716 0.190349i \(-0.0609620\pi\)
−0.655705 + 0.755017i \(0.727629\pi\)
\(110\) −1.17196 0.593278i −0.111742 0.0565668i
\(111\) −5.28670 −0.501792
\(112\) 8.92651 5.68485i 0.843475 0.537168i
\(113\) 13.6408 1.28322 0.641610 0.767031i \(-0.278267\pi\)
0.641610 + 0.767031i \(0.278267\pi\)
\(114\) −3.75477 1.90077i −0.351667 0.178024i
\(115\) 1.04701 + 1.81347i 0.0976340 + 0.169107i
\(116\) 8.31531 + 11.3198i 0.772057 + 1.05101i
\(117\) 3.33249 + 1.92401i 0.308089 + 0.177875i
\(118\) −0.630909 11.4635i −0.0580799 1.05530i
\(119\) 14.7120 + 2.62317i 1.34865 + 0.240465i
\(120\) 1.22472 0.203861i 0.111801 0.0186099i
\(121\) −3.26132 + 5.64878i −0.296484 + 0.513525i
\(122\) 4.78446 + 7.32532i 0.433165 + 0.663203i
\(123\) 5.90467 3.40907i 0.532407 0.307385i
\(124\) −5.96907 + 13.5981i −0.536038 + 1.22115i
\(125\) 4.30504i 0.385054i
\(126\) 3.71409 + 0.453368i 0.330877 + 0.0403892i
\(127\) 3.51914i 0.312273i −0.987735 0.156137i \(-0.950096\pi\)
0.987735 0.156137i \(-0.0499040\pi\)
\(128\) −11.2050 1.56454i −0.990392 0.138287i
\(129\) 3.79878 2.19323i 0.334464 0.193103i
\(130\) 2.00000 1.30628i 0.175412 0.114568i
\(131\) −9.80833 + 16.9885i −0.856958 + 1.48429i 0.0178590 + 0.999841i \(0.494315\pi\)
−0.874817 + 0.484454i \(0.839018\pi\)
\(132\) 0.464416 + 4.20639i 0.0404223 + 0.366119i
\(133\) −7.40366 + 2.67867i −0.641978 + 0.232270i
\(134\) 11.0856 0.610111i 0.957649 0.0527056i
\(135\) 0.380152 + 0.219481i 0.0327183 + 0.0188899i
\(136\) −10.1512 12.3361i −0.870460 1.05781i
\(137\) 1.68914 + 2.92567i 0.144313 + 0.249957i 0.929116 0.369788i \(-0.120570\pi\)
−0.784804 + 0.619745i \(0.787236\pi\)
\(138\) 3.04701 6.01904i 0.259379 0.512375i
\(139\) 16.4481 1.39511 0.697556 0.716530i \(-0.254271\pi\)
0.697556 + 0.716530i \(0.254271\pi\)
\(140\) 1.29246 1.92997i 0.109233 0.163113i
\(141\) −1.68914 −0.142251
\(142\) 0.747207 1.47603i 0.0627042 0.123866i
\(143\) 4.07117 + 7.05147i 0.340448 + 0.589673i
\(144\) −2.70754 2.94435i −0.225628 0.245363i
\(145\) 2.66975 + 1.54138i 0.221711 + 0.128005i
\(146\) −14.1699 + 0.779858i −1.17271 + 0.0645415i
\(147\) 5.37950 4.47895i 0.443693 0.369418i
\(148\) 10.5095 1.16033i 0.863879 0.0953786i
\(149\) −3.23970 + 5.61132i −0.265406 + 0.459697i −0.967670 0.252220i \(-0.918839\pi\)
0.702264 + 0.711917i \(0.252173\pi\)
\(150\) −5.69203 + 3.71770i −0.464753 + 0.303549i
\(151\) −6.72827 + 3.88457i −0.547539 + 0.316122i −0.748129 0.663554i \(-0.769047\pi\)
0.200590 + 0.979675i \(0.435714\pi\)
\(152\) 7.88137 + 2.95448i 0.639264 + 0.239640i
\(153\) 5.64831i 0.456639i
\(154\) 6.32637 + 4.76025i 0.509793 + 0.383592i
\(155\) 3.25942i 0.261803i
\(156\) −7.04701 3.09337i −0.564212 0.247668i
\(157\) 7.32996 4.23195i 0.584994 0.337747i −0.178121 0.984009i \(-0.557002\pi\)
0.763116 + 0.646262i \(0.223669\pi\)
\(158\) −12.0515 18.4516i −0.958762 1.46793i
\(159\) −5.35599 + 9.27685i −0.424758 + 0.735702i
\(160\) −2.38990 + 0.674063i −0.188939 + 0.0532893i
\(161\) −4.29401 11.8683i −0.338415 0.935356i
\(162\) −0.0777157 1.41208i −0.00610592 0.110943i
\(163\) −6.02285 3.47729i −0.471746 0.272363i 0.245224 0.969466i \(-0.421138\pi\)
−0.716970 + 0.697104i \(0.754472\pi\)
\(164\) −10.9898 + 8.07291i −0.858159 + 0.630389i
\(165\) 0.464416 + 0.804393i 0.0361548 + 0.0626219i
\(166\) −6.93516 3.51077i −0.538273 0.272489i
\(167\) 8.12021 0.628361 0.314180 0.949363i \(-0.398270\pi\)
0.314180 + 0.949363i \(0.398270\pi\)
\(168\) −7.48282 0.0860874i −0.577312 0.00664178i
\(169\) −1.80731 −0.139024
\(170\) −3.12838 1.58367i −0.239936 0.121462i
\(171\) 1.48792 + 2.57715i 0.113784 + 0.197080i
\(172\) −7.07031 + 5.19372i −0.539106 + 0.396018i
\(173\) −1.22660 0.708177i −0.0932565 0.0538417i 0.452646 0.891690i \(-0.350480\pi\)
−0.545903 + 0.837848i \(0.683813\pi\)
\(174\) −0.545785 9.91680i −0.0413759 0.751791i
\(175\) −2.23260 + 12.5215i −0.168768 + 0.946534i
\(176\) −1.84645 8.26004i −0.139181 0.622624i
\(177\) −4.05909 + 7.03055i −0.305100 + 0.528448i
\(178\) −8.05721 12.3361i −0.603913 0.924630i
\(179\) 9.29401 5.36590i 0.694667 0.401066i −0.110691 0.993855i \(-0.535306\pi\)
0.805358 + 0.592789i \(0.201973\pi\)
\(180\) −0.803884 0.352875i −0.0599180 0.0263017i
\(181\) 1.21426i 0.0902549i 0.998981 + 0.0451275i \(0.0143694\pi\)
−0.998981 + 0.0451275i \(0.985631\pi\)
\(182\) −13.2494 + 5.63511i −0.982114 + 0.417702i
\(183\) 6.18674i 0.457337i
\(184\) −4.73615 + 12.6341i −0.349153 + 0.931401i
\(185\) 2.00975 1.16033i 0.147760 0.0853092i
\(186\) 8.79180 5.74228i 0.644646 0.421045i
\(187\) 5.97584 10.3505i 0.436997 0.756901i
\(188\) 3.35787 0.370733i 0.244898 0.0270385i
\(189\) −2.02350 1.70453i −0.147188 0.123987i
\(190\) 1.84457 0.101518i 0.133819 0.00736493i
\(191\) 5.67473 + 3.27631i 0.410609 + 0.237065i 0.691051 0.722806i \(-0.257148\pi\)
−0.280442 + 0.959871i \(0.590481\pi\)
\(192\) 6.02861 + 5.25889i 0.435077 + 0.379528i
\(193\) 1.61818 + 2.80276i 0.116479 + 0.201747i 0.918370 0.395723i \(-0.129506\pi\)
−0.801891 + 0.597470i \(0.796173\pi\)
\(194\) −1.42185 + 2.80872i −0.102083 + 0.201654i
\(195\) −1.68914 −0.120962
\(196\) −9.71097 + 10.0845i −0.693641 + 0.720321i
\(197\) −19.2554 −1.37189 −0.685947 0.727652i \(-0.740612\pi\)
−0.685947 + 0.727652i \(0.740612\pi\)
\(198\) 1.35155 2.66984i 0.0960503 0.189737i
\(199\) 4.31086 + 7.46663i 0.305589 + 0.529296i 0.977392 0.211434i \(-0.0678133\pi\)
−0.671803 + 0.740730i \(0.734480\pi\)
\(200\) 10.4993 8.63978i 0.742416 0.610925i
\(201\) −6.79878 3.92528i −0.479549 0.276868i
\(202\) −1.08426 + 0.0596741i −0.0762886 + 0.00419865i
\(203\) −14.2108 11.9707i −0.997400 0.840177i
\(204\) 1.23970 + 11.2284i 0.0867961 + 0.786144i
\(205\) −1.49645 + 2.59193i −0.104517 + 0.181028i
\(206\) 10.2286 6.68073i 0.712663 0.465469i
\(207\) −4.13127 + 2.38519i −0.287143 + 0.165782i
\(208\) 14.6878 + 4.60269i 1.01842 + 0.319139i
\(209\) 6.29681i 0.435559i
\(210\) −1.51142 + 0.642823i −0.104298 + 0.0443590i
\(211\) 6.09787i 0.419795i 0.977723 + 0.209897i \(0.0673130\pi\)
−0.977723 + 0.209897i \(0.932687\pi\)
\(212\) 8.61120 19.6172i 0.591419 1.34731i
\(213\) −1.01310 + 0.584912i −0.0694163 + 0.0400775i
\(214\) −1.96764 3.01258i −0.134505 0.205936i
\(215\) −0.962744 + 1.66752i −0.0656586 + 0.113724i
\(216\) 0.464416 + 2.79004i 0.0315995 + 0.189838i
\(217\) 3.44842 19.3404i 0.234094 1.31291i
\(218\) 0.529035 + 9.61245i 0.0358308 + 0.651037i
\(219\) 8.69036 + 5.01738i 0.587240 + 0.339043i
\(220\) −1.09977 1.49714i −0.0741466 0.100937i
\(221\) 10.8674 + 18.8229i 0.731022 + 1.26617i
\(222\) −6.67051 3.37680i −0.447695 0.226636i
\(223\) 2.44944 0.164027 0.0820134 0.996631i \(-0.473865\pi\)
0.0820134 + 0.996631i \(0.473865\pi\)
\(224\) 14.8941 1.47120i 0.995157 0.0982988i
\(225\) 4.80731 0.320487
\(226\) 17.2113 + 8.71286i 1.14488 + 0.579571i
\(227\) −11.6398 20.1607i −0.772561 1.33811i −0.936155 0.351587i \(-0.885642\pi\)
0.163595 0.986528i \(-0.447691\pi\)
\(228\) −3.52350 4.79661i −0.233350 0.317663i
\(229\) −10.1385 5.85346i −0.669970 0.386808i 0.126095 0.992018i \(-0.459756\pi\)
−0.796065 + 0.605211i \(0.793089\pi\)
\(230\) 0.162738 + 2.95691i 0.0107306 + 0.194973i
\(231\) −1.90467 5.26438i −0.125318 0.346371i
\(232\) 3.26153 + 19.5940i 0.214130 + 1.28641i
\(233\) 4.08426 7.07415i 0.267569 0.463443i −0.700664 0.713491i \(-0.747113\pi\)
0.968234 + 0.250048i \(0.0804463\pi\)
\(234\) 2.97584 + 4.55620i 0.194537 + 0.297848i
\(235\) 0.642129 0.370733i 0.0418879 0.0241840i
\(236\) 6.52607 14.8671i 0.424811 0.967763i
\(237\) 15.5836i 1.01226i
\(238\) 16.8874 + 12.7068i 1.09465 + 0.823662i
\(239\) 18.1984i 1.17716i −0.808439 0.588579i \(-0.799687\pi\)
0.808439 0.588579i \(-0.200313\pi\)
\(240\) 1.67551 + 0.525049i 0.108154 + 0.0338918i
\(241\) 25.0409 14.4574i 1.61303 0.931282i 0.624364 0.781133i \(-0.285358\pi\)
0.988663 0.150149i \(-0.0479753\pi\)
\(242\) −7.72305 + 5.04424i −0.496456 + 0.324256i
\(243\) −0.500000 + 0.866025i −0.0320750 + 0.0555556i
\(244\) 1.35787 + 12.2987i 0.0869288 + 0.787346i
\(245\) −1.06198 + 2.88338i −0.0678476 + 0.184212i
\(246\) 9.62772 0.529876i 0.613841 0.0337836i
\(247\) −9.91696 5.72556i −0.631001 0.364309i
\(248\) −16.2171 + 13.3448i −1.02979 + 0.847398i
\(249\) 2.74822 + 4.76007i 0.174162 + 0.301657i
\(250\) 2.74978 5.43189i 0.173911 0.343543i
\(251\) −20.3586 −1.28502 −0.642512 0.766276i \(-0.722108\pi\)
−0.642512 + 0.766276i \(0.722108\pi\)
\(252\) 4.39668 + 2.94435i 0.276965 + 0.185477i
\(253\) −10.0940 −0.634605
\(254\) 2.24780 4.44028i 0.141039 0.278608i
\(255\) 1.23970 + 2.14722i 0.0776328 + 0.134464i
\(256\) −13.1386 9.13109i −0.821163 0.570693i
\(257\) 18.4350 + 10.6435i 1.14995 + 0.663922i 0.948874 0.315655i \(-0.102224\pi\)
0.201072 + 0.979577i \(0.435558\pi\)
\(258\) 6.19401 0.340896i 0.385622 0.0212233i
\(259\) −13.1529 + 4.75877i −0.817281 + 0.295696i
\(260\) 3.35787 0.370733i 0.208246 0.0229919i
\(261\) −3.51142 + 6.08197i −0.217352 + 0.376464i
\(262\) −23.2268 + 15.1704i −1.43496 + 0.937230i
\(263\) −17.4760 + 10.0898i −1.07762 + 0.622164i −0.930253 0.366918i \(-0.880413\pi\)
−0.147366 + 0.989082i \(0.547080\pi\)
\(264\) −2.10079 + 5.60406i −0.129295 + 0.344906i
\(265\) 4.70215i 0.288851i
\(266\) −11.0525 1.34915i −0.677675 0.0827217i
\(267\) 10.4187i 0.637613i
\(268\) 14.3770 + 6.31094i 0.878213 + 0.385502i
\(269\) 14.1764 8.18475i 0.864351 0.499033i −0.00111621 0.999999i \(-0.500355\pi\)
0.865467 + 0.500966i \(0.167022\pi\)
\(270\) 0.339468 + 0.519747i 0.0206593 + 0.0316308i
\(271\) 6.72696 11.6514i 0.408634 0.707775i −0.586103 0.810236i \(-0.699339\pi\)
0.994737 + 0.102462i \(0.0326720\pi\)
\(272\) −4.92883 22.0490i −0.298854 1.33692i
\(273\) 10.0228 + 1.78709i 0.606610 + 0.108159i
\(274\) 0.262545 + 4.77038i 0.0158609 + 0.288189i
\(275\) 8.80935 + 5.08608i 0.531224 + 0.306702i
\(276\) 7.68914 5.64831i 0.462832 0.339988i
\(277\) −1.40366 2.43120i −0.0843375 0.146077i 0.820771 0.571257i \(-0.193544\pi\)
−0.905109 + 0.425180i \(0.860211\pi\)
\(278\) 20.7535 + 10.5060i 1.24471 + 0.630107i
\(279\) −7.42528 −0.444540
\(280\) 2.86350 1.60961i 0.171127 0.0961926i
\(281\) −25.4502 −1.51823 −0.759115 0.650957i \(-0.774368\pi\)
−0.759115 + 0.650957i \(0.774368\pi\)
\(282\) −2.13127 1.07891i −0.126915 0.0642482i
\(283\) −2.36975 4.10452i −0.140867 0.243988i 0.786957 0.617008i \(-0.211656\pi\)
−0.927823 + 0.373020i \(0.878322\pi\)
\(284\) 1.88558 1.38511i 0.111889 0.0821914i
\(285\) −1.13127 0.653140i −0.0670108 0.0386887i
\(286\) 0.632787 + 11.4976i 0.0374175 + 0.679867i
\(287\) 11.6217 13.7965i 0.686009 0.814382i
\(288\) −1.53558 5.44445i −0.0904851 0.320817i
\(289\) 7.45168 12.9067i 0.438334 0.759217i
\(290\) 2.38403 + 3.65010i 0.139995 + 0.214341i
\(291\) 1.92782 1.11302i 0.113011 0.0652467i
\(292\) −18.3770 8.06679i −1.07543 0.472073i
\(293\) 3.22818i 0.188592i 0.995544 + 0.0942960i \(0.0300600\pi\)
−0.995544 + 0.0942960i \(0.969940\pi\)
\(294\) 9.64845 2.21526i 0.562709 0.129196i
\(295\) 3.56357i 0.207479i
\(296\) 14.0016 + 5.24876i 0.813826 + 0.305078i
\(297\) −1.83249 + 1.05799i −0.106332 + 0.0613907i
\(298\) −7.67183 + 5.01079i −0.444417 + 0.290267i
\(299\) 9.17828 15.8972i 0.530794 0.919362i
\(300\) −9.55656 + 1.05511i −0.551748 + 0.0609170i
\(301\) 7.47686 8.87601i 0.430959 0.511605i
\(302\) −10.9706 + 0.603784i −0.631288 + 0.0347439i
\(303\) 0.664978 + 0.383925i 0.0382020 + 0.0220559i
\(304\) 8.05721 + 8.76193i 0.462113 + 0.502531i
\(305\) 1.35787 + 2.35190i 0.0777515 + 0.134669i
\(306\) 3.60777 7.12676i 0.206242 0.407410i
\(307\) 5.45523 0.311347 0.155673 0.987809i \(-0.450245\pi\)
0.155673 + 0.987809i \(0.450245\pi\)
\(308\) 4.94177 + 10.0471i 0.281584 + 0.572488i
\(309\) −8.63878 −0.491443
\(310\) −2.08190 + 4.11258i −0.118244 + 0.233579i
\(311\) 15.2625 + 26.4355i 0.865460 + 1.49902i 0.866590 + 0.499020i \(0.166307\pi\)
−0.00113066 + 0.999999i \(0.500360\pi\)
\(312\) −6.91574 8.40423i −0.391526 0.475796i
\(313\) −16.3093 9.41621i −0.921859 0.532235i −0.0376312 0.999292i \(-0.511981\pi\)
−0.884228 + 0.467056i \(0.845315\pi\)
\(314\) 11.9517 0.657778i 0.674472 0.0371206i
\(315\) 1.14335 + 0.203861i 0.0644206 + 0.0114863i
\(316\) −3.42030 30.9790i −0.192407 1.74270i
\(317\) −8.58259 + 14.8655i −0.482046 + 0.834929i −0.999788 0.0206085i \(-0.993440\pi\)
0.517741 + 0.855537i \(0.326773\pi\)
\(318\) −12.6834 + 8.28403i −0.711249 + 0.464545i
\(319\) −12.8693 + 7.43009i −0.720542 + 0.416005i
\(320\) −3.44601 0.676014i −0.192638 0.0377904i
\(321\) 2.54433i 0.142011i
\(322\) 2.16274 17.7176i 0.120525 0.987365i
\(323\) 16.8085i 0.935248i
\(324\) 0.803884 1.83133i 0.0446602 0.101741i
\(325\) −16.0203 + 9.24933i −0.888647 + 0.513061i
\(326\) −5.37827 8.23448i −0.297875 0.456066i
\(327\) 3.40366 5.89531i 0.188223 0.326011i
\(328\) −19.0228 + 3.16645i −1.05036 + 0.174838i
\(329\) −4.20244 + 1.52046i −0.231688 + 0.0838256i
\(330\) 0.0721849 + 1.31158i 0.00397365 + 0.0722003i
\(331\) 18.6081 + 10.7434i 1.02280 + 0.590511i 0.914912 0.403652i \(-0.132259\pi\)
0.107883 + 0.994164i \(0.465593\pi\)
\(332\) −6.50800 8.85945i −0.357173 0.486225i
\(333\) 2.64335 + 4.57842i 0.144855 + 0.250896i
\(334\) 10.2457 + 5.18666i 0.560619 + 0.283801i
\(335\) 3.44610 0.188280
\(336\) −9.38648 4.88816i −0.512074 0.266671i
\(337\) 5.91046 0.321964 0.160982 0.986957i \(-0.448534\pi\)
0.160982 + 0.986957i \(0.448534\pi\)
\(338\) −2.28038 1.15439i −0.124036 0.0627907i
\(339\) −6.82041 11.8133i −0.370434 0.641610i
\(340\) −2.93569 3.99640i −0.159210 0.216735i
\(341\) −13.6068 7.85586i −0.736847 0.425419i
\(342\) 0.231269 + 4.20212i 0.0125056 + 0.227224i
\(343\) 9.35208 15.9856i 0.504965 0.863140i
\(344\) −12.2384 + 2.03714i −0.659850 + 0.109835i
\(345\) 1.04701 1.81347i 0.0563690 0.0976340i
\(346\) −1.09533 1.67701i −0.0588851 0.0901569i
\(347\) −2.43838 + 1.40780i −0.130899 + 0.0755746i −0.564020 0.825761i \(-0.690746\pi\)
0.433121 + 0.901336i \(0.357412\pi\)
\(348\) 5.64556 12.8612i 0.302634 0.689430i
\(349\) 9.54077i 0.510705i 0.966848 + 0.255353i \(0.0821916\pi\)
−0.966848 + 0.255353i \(0.917808\pi\)
\(350\) −10.8149 + 14.3730i −0.578080 + 0.768267i
\(351\) 3.84803i 0.205392i
\(352\) 2.94622 11.6015i 0.157034 0.618363i
\(353\) 8.63351 4.98456i 0.459516 0.265301i −0.252325 0.967643i \(-0.581195\pi\)
0.711841 + 0.702341i \(0.247862\pi\)
\(354\) −9.61221 + 6.27813i −0.510883 + 0.333679i
\(355\) 0.256754 0.444711i 0.0136271 0.0236028i
\(356\) −2.28670 20.7115i −0.121195 1.09771i
\(357\) −5.08426 14.0525i −0.269088 0.743739i
\(358\) 15.1541 0.834029i 0.800920 0.0440798i
\(359\) 6.00000 + 3.46410i 0.316668 + 0.182828i 0.649906 0.760014i \(-0.274808\pi\)
−0.333238 + 0.942843i \(0.608141\pi\)
\(360\) −0.788909 0.958709i −0.0415792 0.0505284i
\(361\) 5.07218 + 8.78528i 0.266957 + 0.462383i
\(362\) −0.775587 + 1.53209i −0.0407639 + 0.0805248i
\(363\) 6.52264 0.342350
\(364\) −20.3169 1.35276i −1.06489 0.0709040i
\(365\) −4.40488 −0.230562
\(366\) 3.95168 7.80613i 0.206558 0.408033i
\(367\) 8.95234 + 15.5059i 0.467308 + 0.809402i 0.999302 0.0373465i \(-0.0118905\pi\)
−0.531994 + 0.846748i \(0.678557\pi\)
\(368\) −14.0457 + 12.9160i −0.732183 + 0.673293i
\(369\) −5.90467 3.40907i −0.307385 0.177469i
\(370\) 3.27695 0.180352i 0.170361 0.00937604i
\(371\) −4.97482 + 27.9012i −0.258280 + 1.44856i
\(372\) 14.7609 1.62971i 0.765316 0.0844964i
\(373\) −7.23716 + 12.5351i −0.374726 + 0.649045i −0.990286 0.139045i \(-0.955597\pi\)
0.615560 + 0.788090i \(0.288930\pi\)
\(374\) 14.1512 9.24274i 0.731742 0.477931i
\(375\) −3.72827 + 2.15252i −0.192527 + 0.111156i
\(376\) 4.47360 + 1.67701i 0.230708 + 0.0864854i
\(377\) 27.0241i 1.39181i
\(378\) −1.46442 3.44318i −0.0753215 0.177098i
\(379\) 21.5969i 1.10936i 0.832064 + 0.554679i \(0.187159\pi\)
−0.832064 + 0.554679i \(0.812841\pi\)
\(380\) 2.39223 + 1.05010i 0.122719 + 0.0538689i
\(381\) −3.04766 + 1.75957i −0.156137 + 0.0901455i
\(382\) 5.06741 + 7.75853i 0.259271 + 0.396961i
\(383\) −0.318169 + 0.551085i −0.0162577 + 0.0281591i −0.874040 0.485854i \(-0.838509\pi\)
0.857782 + 0.514013i \(0.171842\pi\)
\(384\) 4.24757 + 10.4861i 0.216758 + 0.535116i
\(385\) 1.87950 + 1.58323i 0.0957881 + 0.0806887i
\(386\) 0.251515 + 4.56997i 0.0128018 + 0.232606i
\(387\) −3.79878 2.19323i −0.193103 0.111488i
\(388\) −3.58806 + 2.63572i −0.182156 + 0.133809i
\(389\) 0.509547 + 0.882561i 0.0258351 + 0.0447476i 0.878654 0.477459i \(-0.158442\pi\)
−0.852819 + 0.522207i \(0.825109\pi\)
\(390\) −2.13127 1.07891i −0.107921 0.0546327i
\(391\) −26.9446 −1.36265
\(392\) −18.6942 + 6.52140i −0.944197 + 0.329381i
\(393\) 19.6167 0.989530
\(394\) −24.2956 12.2991i −1.22399 0.619621i
\(395\) −3.42030 5.92414i −0.172094 0.298076i
\(396\) 3.41063 2.50539i 0.171391 0.125901i
\(397\) 25.8035 + 14.8976i 1.29504 + 0.747691i 0.979543 0.201236i \(-0.0644957\pi\)
0.315496 + 0.948927i \(0.397829\pi\)
\(398\) 0.670043 + 12.1745i 0.0335862 + 0.610254i
\(399\) 6.02163 + 5.07242i 0.301458 + 0.253939i
\(400\) 18.7661 4.19496i 0.938305 0.209748i
\(401\) 3.39513 5.88053i 0.169545 0.293660i −0.768715 0.639591i \(-0.779104\pi\)
0.938260 + 0.345931i \(0.112437\pi\)
\(402\) −6.07117 9.29535i −0.302802 0.463610i
\(403\) 24.7447 14.2863i 1.23262 0.711654i
\(404\) −1.40619 0.617263i −0.0699605 0.0307100i
\(405\) 0.438962i 0.0218122i
\(406\) −10.2844 24.1809i −0.510405 1.20008i
\(407\) 11.1865i 0.554496i
\(408\) −5.60777 + 14.9593i −0.277626 + 0.740594i
\(409\) 3.21574 1.85661i 0.159008 0.0918034i −0.418384 0.908270i \(-0.637404\pi\)
0.577393 + 0.816467i \(0.304070\pi\)
\(410\) −3.54370 + 2.31454i −0.175011 + 0.114307i
\(411\) 1.68914 2.92567i 0.0833190 0.144313i
\(412\) 17.1732 1.89605i 0.846064 0.0934116i
\(413\) −3.77021 + 21.1452i −0.185520 + 1.04049i
\(414\) −6.73615 + 0.370733i −0.331063 + 0.0182206i
\(415\) −2.08949 1.20637i −0.102569 0.0592182i
\(416\) 15.5925 + 15.1891i 0.764485 + 0.744705i
\(417\) −8.22407 14.2445i −0.402734 0.697556i
\(418\) −4.02199 + 7.94501i −0.196722 + 0.388603i
\(419\) 20.7082 1.01166 0.505832 0.862632i \(-0.331186\pi\)
0.505832 + 0.862632i \(0.331186\pi\)
\(420\) −2.31764 0.154316i −0.113089 0.00752984i
\(421\) 15.6579 0.763118 0.381559 0.924344i \(-0.375387\pi\)
0.381559 + 0.924344i \(0.375387\pi\)
\(422\) −3.89492 + 7.69400i −0.189602 + 0.374538i
\(423\) 0.844569 + 1.46284i 0.0410643 + 0.0711255i
\(424\) 23.3954 19.2518i 1.13618 0.934948i
\(425\) 23.5153 + 13.5766i 1.14066 + 0.658561i
\(426\) −1.65188 + 0.0909137i −0.0800339 + 0.00440478i
\(427\) −5.56893 15.3921i −0.269499 0.744876i
\(428\) −0.558433 5.05793i −0.0269929 0.244484i
\(429\) 4.07117 7.05147i 0.196558 0.340448i
\(430\) −2.27985 + 1.48906i −0.109944 + 0.0718089i
\(431\) 10.2723 5.93071i 0.494799 0.285672i −0.231764 0.972772i \(-0.574450\pi\)
0.726563 + 0.687100i \(0.241116\pi\)
\(432\) −1.19612 + 3.81698i −0.0575481 + 0.183644i
\(433\) 16.9269i 0.813454i 0.913550 + 0.406727i \(0.133330\pi\)
−0.913550 + 0.406727i \(0.866670\pi\)
\(434\) 16.7045 22.2002i 0.801839 1.06564i
\(435\) 3.08276i 0.147807i
\(436\) −5.47229 + 12.4664i −0.262075 + 0.597034i
\(437\) 12.2940 7.09795i 0.588102 0.339541i
\(438\) 7.76030 + 11.8815i 0.370802 + 0.567721i
\(439\) −1.17640 + 2.03759i −0.0561467 + 0.0972489i −0.892733 0.450587i \(-0.851215\pi\)
0.836586 + 0.547836i \(0.184548\pi\)
\(440\) −0.431365 2.59148i −0.0205645 0.123544i
\(441\) −6.56863 2.41931i −0.312792 0.115205i
\(442\) 1.68914 + 30.6913i 0.0803441 + 1.45983i
\(443\) −1.38904 0.801965i −0.0659955 0.0381025i 0.466639 0.884448i \(-0.345465\pi\)
−0.532635 + 0.846345i \(0.678798\pi\)
\(444\) −6.25965 8.52137i −0.297070 0.404406i
\(445\) −2.28670 3.96069i −0.108400 0.187755i
\(446\) 3.09059 + 1.56454i 0.146344 + 0.0740833i
\(447\) 6.47939 0.306465
\(448\) 19.7324 + 7.65711i 0.932269 + 0.361765i
\(449\) 1.35208 0.0638086 0.0319043 0.999491i \(-0.489843\pi\)
0.0319043 + 0.999491i \(0.489843\pi\)
\(450\) 6.06564 + 3.07060i 0.285937 + 0.144749i
\(451\) −7.21350 12.4942i −0.339670 0.588327i
\(452\) 16.1512 + 21.9869i 0.759690 + 1.03418i
\(453\) 6.72827 + 3.88457i 0.316122 + 0.182513i
\(454\) −1.80919 32.8726i −0.0849095 1.54279i
\(455\) −4.20244 + 1.52046i −0.197013 + 0.0712802i
\(456\) −1.38203 8.30271i −0.0647195 0.388810i
\(457\) −11.0734 + 19.1797i −0.517992 + 0.897189i 0.481789 + 0.876287i \(0.339987\pi\)
−0.999782 + 0.0209017i \(0.993346\pi\)
\(458\) −9.05345 13.8614i −0.423040 0.647702i
\(459\) −4.89158 + 2.82415i −0.228319 + 0.131820i
\(460\) −1.68335 + 3.83484i −0.0784864 + 0.178800i
\(461\) 30.7842i 1.43376i −0.697195 0.716882i \(-0.745569\pi\)
0.697195 0.716882i \(-0.254431\pi\)
\(462\) 0.959316 7.85892i 0.0446314 0.365630i
\(463\) 13.8120i 0.641897i −0.947097 0.320948i \(-0.895998\pi\)
0.947097 0.320948i \(-0.104002\pi\)
\(464\) −8.40014 + 26.8060i −0.389967 + 1.24444i
\(465\) 2.82274 1.62971i 0.130901 0.0755759i
\(466\) 9.67183 6.31707i 0.448039 0.292632i
\(467\) −8.51330 + 14.7455i −0.393949 + 0.682339i −0.992966 0.118397i \(-0.962225\pi\)
0.599018 + 0.800736i \(0.295558\pi\)
\(468\) 0.844569 + 7.64957i 0.0390402 + 0.353602i
\(469\) −20.4481 3.64593i −0.944207 0.168353i
\(470\) 1.04701 0.0576236i 0.0482949 0.00265798i
\(471\) −7.32996 4.23195i −0.337747 0.194998i
\(472\) 17.7304 14.5901i 0.816107 0.671564i
\(473\) −4.64082 8.03814i −0.213385 0.369594i
\(474\) −9.95378 + 19.6626i −0.457192 + 0.903135i
\(475\) −14.3058 −0.656395
\(476\) 13.1914 + 26.8194i 0.604626 + 1.22927i
\(477\) 10.7120 0.490468
\(478\) 11.6240 22.9619i 0.531668 1.05025i
\(479\) −15.8903 27.5227i −0.726045 1.25755i −0.958543 0.284950i \(-0.908023\pi\)
0.232498 0.972597i \(-0.425310\pi\)
\(480\) 1.77871 + 1.73269i 0.0811865 + 0.0790859i
\(481\) −17.6179 10.1717i −0.803306 0.463789i
\(482\) 40.8299 2.24713i 1.85975 0.102354i
\(483\) −8.13127 + 9.65289i −0.369986 + 0.439222i
\(484\) −12.9665 + 1.43160i −0.589386 + 0.0650726i
\(485\) −0.488575 + 0.846237i −0.0221851 + 0.0384257i
\(486\) −1.18404 + 0.773342i −0.0537090 + 0.0350795i
\(487\) −4.99690 + 2.88496i −0.226431 + 0.130730i −0.608925 0.793228i \(-0.708399\pi\)
0.382493 + 0.923958i \(0.375065\pi\)
\(488\) −6.14233 + 16.3853i −0.278050 + 0.741727i
\(489\) 6.95459i 0.314497i
\(490\) −3.18167 + 2.95979i −0.143733 + 0.133709i
\(491\) 22.6443i 1.02192i −0.859603 0.510962i \(-0.829289\pi\)
0.859603 0.510962i \(-0.170711\pi\)
\(492\) 12.4862 + 5.48099i 0.562924 + 0.247102i
\(493\) −34.3528 + 19.8336i −1.54717 + 0.893261i
\(494\) −8.85563 13.5585i −0.398434 0.610028i
\(495\) 0.464416 0.804393i 0.0208740 0.0361548i
\(496\) −28.9858 + 6.47946i −1.30150 + 0.290936i
\(497\) −1.99400 + 2.36714i −0.0894433 + 0.106181i
\(498\) 0.427160 + 7.76141i 0.0191415 + 0.347797i
\(499\) −16.8383 9.72159i −0.753785 0.435198i 0.0732749 0.997312i \(-0.476655\pi\)
−0.827060 + 0.562114i \(0.809988\pi\)
\(500\) 6.93907 5.09732i 0.310325 0.227959i
\(501\) −4.06011 7.03231i −0.181392 0.314180i
\(502\) −25.6875 13.0037i −1.14649 0.580385i
\(503\) −11.7570 −0.524217 −0.262108 0.965038i \(-0.584418\pi\)
−0.262108 + 0.965038i \(0.584418\pi\)
\(504\) 3.66686 + 6.52336i 0.163335 + 0.290573i
\(505\) −0.337057 −0.0149989
\(506\) −12.7361 6.44740i −0.566191 0.286622i
\(507\) 0.903656 + 1.56518i 0.0401328 + 0.0695120i
\(508\) 5.67232 4.16679i 0.251669 0.184871i
\(509\) −17.4476 10.0734i −0.773350 0.446494i 0.0607186 0.998155i \(-0.480661\pi\)
−0.834068 + 0.551661i \(0.813994\pi\)
\(510\) 0.192688 + 3.50109i 0.00853235 + 0.155031i
\(511\) 26.1373 + 4.66031i 1.15624 + 0.206160i
\(512\) −10.7453 19.9133i −0.474881 0.880050i
\(513\) 1.48792 2.57715i 0.0656933 0.113784i
\(514\) 16.4621 + 25.2045i 0.726112 + 1.11172i
\(515\) 3.28405 1.89605i 0.144713 0.0835499i
\(516\) 8.03305 + 3.52620i 0.353635 + 0.155232i
\(517\) 3.57417i 0.157192i
\(518\) −19.6353 2.39682i −0.862725 0.105310i
\(519\) 1.41635i 0.0621710i
\(520\) 4.47360 + 1.67701i 0.196180 + 0.0735419i
\(521\) −31.0965 + 17.9536i −1.36236 + 0.786559i −0.989938 0.141504i \(-0.954806\pi\)
−0.372423 + 0.928063i \(0.621473\pi\)
\(522\) −8.31531 + 5.43106i −0.363951 + 0.237711i
\(523\) −22.6480 + 39.2276i −0.990330 + 1.71530i −0.375017 + 0.927018i \(0.622363\pi\)
−0.615312 + 0.788283i \(0.710970\pi\)
\(524\) −38.9964 + 4.30548i −1.70356 + 0.188086i
\(525\) 11.9602 4.32725i 0.521986 0.188857i
\(526\) −28.4951 + 1.56827i −1.24245 + 0.0683799i
\(527\) −36.3213 20.9701i −1.58218 0.913473i
\(528\) −6.23018 + 5.72909i −0.271134 + 0.249327i
\(529\) −0.121725 0.210835i −0.00529241 0.00916672i
\(530\) 3.00343 5.93295i 0.130461 0.257711i
\(531\) 8.11818 0.352299
\(532\) −13.0838 8.76193i −0.567255 0.379878i
\(533\) 26.2364 1.13642
\(534\) −6.65478 + 13.1458i −0.287980 + 0.568874i
\(535\) −0.558433 0.967234i −0.0241432 0.0418172i
\(536\) 14.1091 + 17.1459i 0.609422 + 0.740590i
\(537\) −9.29401 5.36590i −0.401066 0.231556i
\(538\) 23.1150 1.27217i 0.996558 0.0548470i
\(539\) −9.47736 11.3829i −0.408219 0.490296i
\(540\) 0.0963438 + 0.872621i 0.00414598 + 0.0375516i
\(541\) 16.9491 29.3568i 0.728701 1.26215i −0.228732 0.973490i \(-0.573458\pi\)
0.957432 0.288657i \(-0.0932089\pi\)
\(542\) 15.9299 10.4045i 0.684249 0.446911i
\(543\) 1.05158 0.607128i 0.0451275 0.0260543i
\(544\) 7.86452 30.9686i 0.337189 1.32777i
\(545\) 2.98815i 0.127998i
\(546\) 11.5049 + 8.65680i 0.492363 + 0.370477i
\(547\) 7.83251i 0.334894i −0.985881 0.167447i \(-0.946448\pi\)
0.985881 0.167447i \(-0.0535523\pi\)
\(548\) −2.71574 + 6.18674i −0.116011 + 0.264284i
\(549\) −5.35787 + 3.09337i −0.228668 + 0.132022i
\(550\) 7.86656 + 12.0442i 0.335431 + 0.513567i
\(551\) 10.4494 18.0990i 0.445161 0.771042i
\(552\) 13.3096 2.21544i 0.566492 0.0942956i
\(553\) 14.0274 + 38.7708i 0.596506 + 1.64870i
\(554\) −0.218172 3.96414i −0.00926925 0.168420i
\(555\) −2.00975 1.16033i −0.0853092 0.0492533i
\(556\) 19.4752 + 26.5119i 0.825932 + 1.12436i
\(557\) −7.69701 13.3316i −0.326133 0.564879i 0.655608 0.755101i \(-0.272412\pi\)
−0.981741 + 0.190223i \(0.939079\pi\)
\(558\) −9.36887 4.74278i −0.396616 0.200778i
\(559\) 16.8792 0.713914
\(560\) 4.64115 0.201909i 0.196124 0.00853223i
\(561\) −11.9517 −0.504600
\(562\) −32.1118 16.2559i −1.35455 0.685714i
\(563\) 8.22052 + 14.2384i 0.346453 + 0.600075i 0.985617 0.168996i \(-0.0540525\pi\)
−0.639163 + 0.769071i \(0.720719\pi\)
\(564\) −2.00000 2.72263i −0.0842152 0.114644i
\(565\) 5.18559 + 2.99390i 0.218159 + 0.125954i
\(566\) −0.368333 6.69252i −0.0154822 0.281308i
\(567\) −0.464416 + 2.60467i −0.0195037 + 0.109386i
\(568\) 3.26385 0.543286i 0.136948 0.0227958i
\(569\) 18.6146 32.2415i 0.780366 1.35163i −0.151363 0.988478i \(-0.548366\pi\)
0.931729 0.363155i \(-0.118300\pi\)
\(570\) −1.01020 1.54668i −0.0423127 0.0647835i
\(571\) 17.9660 10.3727i 0.751854 0.434083i −0.0745095 0.997220i \(-0.523739\pi\)
0.826363 + 0.563137i \(0.190406\pi\)
\(572\) −6.54549 + 14.9113i −0.273681 + 0.623473i
\(573\) 6.55261i 0.273739i
\(574\) 23.4760 9.98458i 0.979871 0.416748i
\(575\) 22.9327i 0.956361i
\(576\) 1.54003 7.85037i 0.0641679 0.327099i
\(577\) −13.3550 + 7.71054i −0.555978 + 0.320994i −0.751530 0.659699i \(-0.770684\pi\)
0.195552 + 0.980693i \(0.437350\pi\)
\(578\) 17.6461 11.5254i 0.733982 0.479393i
\(579\) 1.61818 2.80276i 0.0672491 0.116479i
\(580\) 0.676608 + 6.12829i 0.0280946 + 0.254463i
\(581\) 11.1221 + 9.36888i 0.461422 + 0.388687i
\(582\) 3.14335 0.172999i 0.130296 0.00717104i
\(583\) 19.6296 + 11.3332i 0.812975 + 0.469371i
\(584\) −18.0346 21.9163i −0.746279 0.906902i
\(585\) 0.844569 + 1.46284i 0.0349186 + 0.0604808i
\(586\) −2.06195 + 4.07316i −0.0851783 + 0.168261i
\(587\) 34.0410 1.40502 0.702512 0.711672i \(-0.252062\pi\)
0.702512 + 0.711672i \(0.252062\pi\)
\(588\) 13.5889 + 3.36770i 0.560397 + 0.138881i
\(589\) 22.0965 0.910469
\(590\) 2.27618 4.49634i 0.0937086 0.185111i
\(591\) 9.62772 + 16.6757i 0.396032 + 0.685947i
\(592\) 14.3140 + 15.5659i 0.588300 + 0.639756i
\(593\) 27.5697 + 15.9173i 1.13215 + 0.653647i 0.944475 0.328584i \(-0.106571\pi\)
0.187675 + 0.982231i \(0.439905\pi\)
\(594\) −2.98792 + 0.164445i −0.122596 + 0.00674724i
\(595\) 5.01706 + 4.22620i 0.205679 + 0.173257i
\(596\) −12.8805 + 1.42210i −0.527606 + 0.0582516i
\(597\) 4.31086 7.46663i 0.176432 0.305589i
\(598\) 21.7348 14.1959i 0.888804 0.580514i
\(599\) −18.0000 + 10.3923i −0.735460 + 0.424618i −0.820416 0.571767i \(-0.806258\pi\)
0.0849563 + 0.996385i \(0.472925\pi\)
\(600\) −12.7319 4.77281i −0.519779 0.194849i
\(601\) 15.8614i 0.646999i −0.946228 0.323499i \(-0.895141\pi\)
0.946228 0.323499i \(-0.104859\pi\)
\(602\) 15.1034 6.42360i 0.615567 0.261806i
\(603\) 7.85056i 0.319699i
\(604\) −14.2279 6.24549i −0.578923 0.254125i
\(605\) −2.47960 + 1.43160i −0.100810 + 0.0582027i
\(606\) 0.593811 + 0.909163i 0.0241219 + 0.0369322i
\(607\) −21.7151 + 37.6116i −0.881388 + 1.52661i −0.0315900 + 0.999501i \(0.510057\pi\)
−0.849798 + 0.527108i \(0.823276\pi\)
\(608\) 4.56965 + 16.2018i 0.185324 + 0.657070i
\(609\) −3.26153 + 18.2922i −0.132164 + 0.741238i
\(610\) 0.211056 + 3.83484i 0.00854539 + 0.155268i
\(611\) −5.62903 3.24992i −0.227726 0.131478i
\(612\) 9.10422 6.68780i 0.368016 0.270338i
\(613\) −7.76030 13.4412i −0.313436 0.542887i 0.665668 0.746248i \(-0.268147\pi\)
−0.979104 + 0.203361i \(0.934813\pi\)
\(614\) 6.88315 + 3.48445i 0.277781 + 0.140621i
\(615\) 2.99290 0.120685
\(616\) −0.182159 + 15.8335i −0.00733939 + 0.637949i
\(617\) −19.8053 −0.797330 −0.398665 0.917097i \(-0.630526\pi\)
−0.398665 + 0.917097i \(0.630526\pi\)
\(618\) −10.9000 5.51789i −0.438462 0.221962i
\(619\) −8.15665 14.1277i −0.327844 0.567842i 0.654240 0.756287i \(-0.272989\pi\)
−0.982084 + 0.188445i \(0.939655\pi\)
\(620\) −5.25369 + 3.85927i −0.210993 + 0.154992i
\(621\) 4.13127 + 2.38519i 0.165782 + 0.0957144i
\(622\) 2.37228 + 43.1038i 0.0951197 + 1.72830i
\(623\) 9.37827 + 25.9209i 0.375733 + 1.03850i
\(624\) −3.35787 15.0214i −0.134422 0.601336i
\(625\) −11.0734 + 19.1797i −0.442936 + 0.767188i
\(626\) −14.5639 22.2983i −0.582090 0.891218i
\(627\) 5.45320 3.14840i 0.217780 0.125735i
\(628\) 15.5002 + 6.80400i 0.618526 + 0.271509i
\(629\) 29.8609i 1.19063i
\(630\) 1.31241 + 0.987521i 0.0522878 + 0.0393438i
\(631\) 27.3095i 1.08717i −0.839353 0.543587i \(-0.817066\pi\)
0.839353 0.543587i \(-0.182934\pi\)
\(632\) 15.4718 41.2724i 0.615433 1.64173i
\(633\) 5.28091 3.04894i 0.209897 0.121184i
\(634\) −20.3242 + 13.2746i −0.807177 + 0.527200i
\(635\) 0.772384 1.33781i 0.0306511 0.0530893i
\(636\) −21.2946 + 2.35108i −0.844385 + 0.0932263i
\(637\) 26.5447 4.57583i 1.05174 0.181301i
\(638\) −20.9837 + 1.15487i −0.830753 + 0.0457217i
\(639\) 1.01310 + 0.584912i 0.0400775 + 0.0231388i
\(640\) −3.91622 3.05405i −0.154802 0.120722i
\(641\) −4.89533 8.47896i −0.193354 0.334899i 0.753006 0.658014i \(-0.228603\pi\)
−0.946360 + 0.323115i \(0.895270\pi\)
\(642\) −1.62515 + 3.21032i −0.0641397 + 0.126701i
\(643\) −7.26458 −0.286487 −0.143244 0.989687i \(-0.545753\pi\)
−0.143244 + 0.989687i \(0.545753\pi\)
\(644\) 14.0457 20.9738i 0.553478 0.826485i
\(645\) 1.92549 0.0758160
\(646\) −10.7361 + 21.2081i −0.422408 + 0.834422i
\(647\) 23.0419 + 39.9098i 0.905872 + 1.56902i 0.819742 + 0.572733i \(0.194117\pi\)
0.0861302 + 0.996284i \(0.472550\pi\)
\(648\) 2.18404 1.79722i 0.0857971 0.0706013i
\(649\) 14.8765 + 8.58893i 0.583952 + 0.337145i
\(650\) −26.1215 + 1.43764i −1.02457 + 0.0563887i
\(651\) −18.4735 + 6.68379i −0.724034 + 0.261958i
\(652\) −1.52640 13.8252i −0.0597784 0.541435i
\(653\) 3.38990 5.87149i 0.132657 0.229769i −0.792043 0.610465i \(-0.790982\pi\)
0.924700 + 0.380696i \(0.124316\pi\)
\(654\) 8.06011 5.26438i 0.315175 0.205854i
\(655\) −7.45732 + 4.30548i −0.291381 + 0.168229i
\(656\) −26.0246 8.15527i −1.01609 0.318410i
\(657\) 10.0348i 0.391493i
\(658\) −6.27361 0.765800i −0.244571 0.0298540i
\(659\) 29.3184i 1.14208i 0.820921 + 0.571041i \(0.193460\pi\)
−0.820921 + 0.571041i \(0.806540\pi\)
\(660\) −0.746674 + 1.70100i −0.0290643 + 0.0662113i
\(661\) 26.4813 15.2890i 1.03000 0.594674i 0.113019 0.993593i \(-0.463948\pi\)
0.916986 + 0.398919i \(0.130615\pi\)
\(662\) 16.6167 + 25.4412i 0.645825 + 0.988799i
\(663\) 10.8674 18.8229i 0.422056 0.731022i
\(664\) −2.55264 15.3353i −0.0990617 0.595125i
\(665\) −3.40243 0.606658i −0.131941 0.0235252i
\(666\) 0.410860 + 7.46523i 0.0159205 + 0.289272i
\(667\) 29.0133 + 16.7508i 1.12340 + 0.648595i
\(668\) 9.61462 + 13.0886i 0.372001 + 0.506411i
\(669\) −1.22472 2.12128i −0.0473504 0.0820134i
\(670\) 4.34812 + 2.20114i 0.167982 + 0.0850375i
\(671\) −13.0910 −0.505372
\(672\) −8.72117 12.1631i −0.336426 0.469202i
\(673\) −6.37827 −0.245864 −0.122932 0.992415i \(-0.539230\pi\)
−0.122932 + 0.992415i \(0.539230\pi\)
\(674\) 7.45754 + 3.77522i 0.287254 + 0.145416i
\(675\) −2.40366 4.16325i −0.0925168 0.160244i
\(676\) −2.13992 2.91312i −0.0823048 0.112043i
\(677\) −10.8219 6.24801i −0.415919 0.240131i 0.277411 0.960751i \(-0.410524\pi\)
−0.693330 + 0.720621i \(0.743857\pi\)
\(678\) −1.06011 19.2619i −0.0407131 0.739748i
\(679\) 3.79437 4.50442i 0.145615 0.172864i
\(680\) −1.15147 6.91760i −0.0441569 0.265278i
\(681\) −11.6398 + 20.1607i −0.446038 + 0.772561i
\(682\) −12.1505 18.6033i −0.465268 0.712355i
\(683\) 39.1917 22.6273i 1.49963 0.865811i 0.499629 0.866240i \(-0.333470\pi\)
1.00000 0.000428478i \(0.000136389\pi\)
\(684\) −2.39223 + 5.44975i −0.0914693 + 0.208376i
\(685\) 1.48293i 0.0566600i
\(686\) 22.0105 14.1963i 0.840367 0.542019i
\(687\) 11.7069i 0.446647i
\(688\) −16.7430 5.24671i −0.638321 0.200029i
\(689\) −35.6976 + 20.6100i −1.35997 + 0.785179i
\(690\) 2.47939 1.61939i 0.0943888 0.0616492i
\(691\) −5.29654 + 9.17388i −0.201490 + 0.348991i −0.949009 0.315250i \(-0.897912\pi\)
0.747519 + 0.664241i \(0.231245\pi\)
\(692\) −0.310863 2.81560i −0.0118172 0.107033i
\(693\) −3.60675 + 4.28169i −0.137009 + 0.162648i
\(694\) −3.97584 + 0.218816i −0.150921 + 0.00830615i
\(695\) 6.25279 + 3.61005i 0.237182 + 0.136937i
\(696\) 15.3382 12.6216i 0.581391 0.478420i
\(697\) −19.2554 33.3514i −0.729352 1.26327i
\(698\) −6.09402 + 12.0381i −0.230662 + 0.455648i
\(699\) −8.16853 −0.308962
\(700\) −22.8262 + 11.2273i −0.862749 + 0.424351i
\(701\) 29.6566 1.12011 0.560057 0.828454i \(-0.310779\pi\)
0.560057 + 0.828454i \(0.310779\pi\)
\(702\) 2.45787 4.85526i 0.0927662 0.183250i
\(703\) −7.86620 13.6246i −0.296679 0.513863i
\(704\) 11.1277 12.7564i 0.419390 0.480774i
\(705\) −0.642129 0.370733i −0.0241840 0.0139626i
\(706\) 14.0772 0.774757i 0.529801 0.0291584i
\(707\) 2.00000 + 0.356603i 0.0752177 + 0.0134114i
\(708\) −16.1383 + 1.78178i −0.606514 + 0.0669636i
\(709\) 17.8506 30.9181i 0.670392 1.16115i −0.307401 0.951580i \(-0.599459\pi\)
0.977793 0.209573i \(-0.0672074\pi\)
\(710\) 0.608012 0.397117i 0.0228183 0.0149036i
\(711\) 13.4958 7.79180i 0.506132 0.292215i
\(712\) 10.3439 27.5934i 0.387655 1.03411i
\(713\) 35.4214i 1.32654i
\(714\) 2.56076 20.9783i 0.0958340 0.785094i
\(715\) 3.57417i 0.133667i
\(716\) 19.6535 + 8.62712i 0.734485 + 0.322411i
\(717\) −15.7603 + 9.09922i −0.588579 + 0.339816i
\(718\) 5.35787 + 8.20324i 0.199954 + 0.306142i
\(719\) −6.40447 + 11.0929i −0.238846 + 0.413694i −0.960384 0.278682i \(-0.910103\pi\)
0.721537 + 0.692376i \(0.243436\pi\)
\(720\) −0.383048 1.71356i −0.0142753 0.0638605i
\(721\) −21.4926 + 7.77611i −0.800427 + 0.289598i
\(722\) 0.788376 + 14.3246i 0.0293403 + 0.533107i
\(723\) −25.0409 14.4574i −0.931282 0.537676i
\(724\) −1.95720 + 1.43772i −0.0727387 + 0.0534325i
\(725\) −16.8805 29.2379i −0.626927 1.08587i
\(726\) 8.22996 + 4.16624i 0.305442 + 0.154624i
\(727\) 19.3286 0.716860 0.358430 0.933557i \(-0.383312\pi\)
0.358430 + 0.933557i \(0.383312\pi\)
\(728\) −24.7708 14.6839i −0.918066 0.544223i
\(729\) 1.00000 0.0370370
\(730\) −5.55786 2.81355i −0.205706 0.104134i
\(731\) −12.3880 21.4567i −0.458188 0.793604i
\(732\) 9.97209 7.32532i 0.368579 0.270752i
\(733\) −32.6407 18.8451i −1.20561 0.696061i −0.243815 0.969822i \(-0.578399\pi\)
−0.961798 + 0.273761i \(0.911732\pi\)
\(734\) 1.39147 + 25.2828i 0.0513602 + 0.933204i
\(735\) 3.02807 0.521986i 0.111692 0.0192537i
\(736\) −25.9721 + 7.32532i −0.957344 + 0.270015i
\(737\) −8.30580 + 14.3861i −0.305948 + 0.529917i
\(738\) −5.27275 8.07291i −0.194092 0.297168i
\(739\) −12.0072 + 6.93237i −0.441693 + 0.255011i −0.704315 0.709887i \(-0.748746\pi\)
0.262623 + 0.964899i \(0.415413\pi\)
\(740\) 4.24990 + 1.86554i 0.156229 + 0.0685787i
\(741\) 11.4511i 0.420667i
\(742\) −24.0985 + 32.0268i −0.884682 + 1.17574i
\(743\) 18.9927i 0.696773i 0.937351 + 0.348387i \(0.113270\pi\)
−0.937351 + 0.348387i \(0.886730\pi\)
\(744\) 19.6655 + 7.37199i 0.720973 + 0.270270i
\(745\) −2.46315 + 1.42210i −0.0902430 + 0.0521018i
\(746\) −17.1381 + 11.1936i −0.627471 + 0.409827i
\(747\) 2.74822 4.76007i 0.100552 0.174162i
\(748\) 23.7590 2.62317i 0.868715 0.0959125i
\(749\) 2.29026 + 6.33010i 0.0836841 + 0.231297i
\(750\) −6.07904 + 0.334569i −0.221975 + 0.0122167i
\(751\) 25.2868 + 14.5993i 0.922728 + 0.532737i 0.884504 0.466532i \(-0.154497\pi\)
0.0382233 + 0.999269i \(0.487830\pi\)
\(752\) 4.57341 + 4.97342i 0.166775 + 0.181362i
\(753\) 10.1793 + 17.6311i 0.370954 + 0.642512i
\(754\) 17.2612 34.0977i 0.628617 1.24177i
\(755\) −3.41036 −0.124116
\(756\) 0.351547 5.27981i 0.0127856 0.192025i
\(757\) −10.8022 −0.392614 −0.196307 0.980542i \(-0.562895\pi\)
−0.196307 + 0.980542i \(0.562895\pi\)
\(758\) −13.7947 + 27.2499i −0.501045 + 0.989762i
\(759\) 5.04701 + 8.74167i 0.183195 + 0.317303i
\(760\) 2.34767 + 2.85296i 0.0851589 + 0.103488i
\(761\) −0.203165 0.117298i −0.00736474 0.00425204i 0.496313 0.868144i \(-0.334687\pi\)
−0.503678 + 0.863892i \(0.668020\pi\)
\(762\) −4.96929 + 0.273492i −0.180018 + 0.00990758i
\(763\) 3.16143 17.7308i 0.114451 0.641899i
\(764\) 1.43817 + 13.0261i 0.0520313 + 0.471267i
\(765\) 1.23970 2.14722i 0.0448213 0.0776328i
\(766\) −0.753448 + 0.492107i −0.0272232 + 0.0177806i
\(767\) −27.0537 + 15.6195i −0.976854 + 0.563987i
\(768\) −1.33845 + 15.9439i −0.0482971 + 0.575327i
\(769\) 34.8540i 1.25687i −0.777863 0.628434i \(-0.783696\pi\)
0.777863 0.628434i \(-0.216304\pi\)
\(770\) 1.36020 + 3.19814i 0.0490181 + 0.115253i
\(771\) 21.2869i 0.766631i
\(772\) −2.60165 + 5.92683<