Properties

Label 648.2.bb.b.155.46
Level $648$
Weight $2$
Character 648.155
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 155.46
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.46

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.286215 - 1.38495i) q^{2} +(-1.72723 + 0.129091i) q^{3} +(-1.83616 + 0.792785i) q^{4} +(1.37235 - 0.902608i) q^{5} +(0.673145 + 2.35518i) q^{6} +(-1.37945 - 1.30144i) q^{7} +(1.62350 + 2.31608i) q^{8} +(2.96667 - 0.445942i) q^{9} +O(q^{10})\) \(q+(-0.286215 - 1.38495i) q^{2} +(-1.72723 + 0.129091i) q^{3} +(-1.83616 + 0.792785i) q^{4} +(1.37235 - 0.902608i) q^{5} +(0.673145 + 2.35518i) q^{6} +(-1.37945 - 1.30144i) q^{7} +(1.62350 + 2.31608i) q^{8} +(2.96667 - 0.445942i) q^{9} +(-1.64285 - 1.64229i) q^{10} +(0.176324 + 0.351090i) q^{11} +(3.06914 - 1.60636i) q^{12} +(4.46566 - 1.92630i) q^{13} +(-1.40761 + 2.28295i) q^{14} +(-2.25385 + 1.73617i) q^{15} +(2.74298 - 2.91136i) q^{16} +(-2.12016 - 2.52671i) q^{17} +(-1.46671 - 3.98105i) q^{18} +(-1.51407 - 1.27046i) q^{19} +(-1.80428 + 2.74531i) q^{20} +(2.55063 + 2.06982i) q^{21} +(0.435774 - 0.344686i) q^{22} +(-0.553115 - 0.586268i) q^{23} +(-3.10316 - 3.79083i) q^{24} +(-0.911759 + 2.11370i) q^{25} +(-3.94596 - 5.63337i) q^{26} +(-5.06657 + 1.15322i) q^{27} +(3.56465 + 1.29605i) q^{28} +(-1.75252 + 0.204840i) q^{29} +(3.04959 + 2.62454i) q^{30} +(-2.11599 - 8.92807i) q^{31} +(-4.81717 - 2.96561i) q^{32} +(-0.349875 - 0.583652i) q^{33} +(-2.89254 + 3.65950i) q^{34} +(-3.06777 - 0.540931i) q^{35} +(-5.09375 + 3.17075i) q^{36} +(3.20621 - 0.565341i) q^{37} +(-1.32617 + 2.46054i) q^{38} +(-7.46457 + 3.90364i) q^{39} +(4.31853 + 1.71309i) q^{40} +(-8.88519 - 6.61478i) q^{41} +(2.13656 - 4.12490i) q^{42} +(-0.499838 + 8.58188i) q^{43} +(-0.602098 - 0.504871i) q^{44} +(3.66880 - 3.28973i) q^{45} +(-0.653641 + 0.933835i) q^{46} +(-3.79499 - 0.899430i) q^{47} +(-4.36194 + 5.38270i) q^{48} +(-0.197889 - 3.39763i) q^{49} +(3.18832 + 0.657768i) q^{50} +(3.98819 + 4.09052i) q^{51} +(-6.67253 + 7.07730i) q^{52} +(-1.14382 - 1.98115i) q^{53} +(3.04727 + 6.68686i) q^{54} +(0.558874 + 0.322666i) q^{55} +(0.774707 - 5.30780i) q^{56} +(2.77916 + 1.99892i) q^{57} +(0.785291 + 2.36852i) q^{58} +(2.78857 - 5.55250i) q^{59} +(2.76202 - 4.97471i) q^{60} +(-6.81283 + 2.03963i) q^{61} +(-11.7593 + 5.48589i) q^{62} +(-4.67273 - 3.24579i) q^{63} +(-2.72847 + 7.52033i) q^{64} +(4.38975 - 6.67429i) q^{65} +(-0.708188 + 0.651609i) q^{66} +(8.05630 + 0.941646i) q^{67} +(5.89610 + 2.95862i) q^{68} +(1.03104 + 0.941219i) q^{69} +(0.128881 + 4.40352i) q^{70} +(-12.9767 - 4.72312i) q^{71} +(5.84924 + 6.14707i) q^{72} +(-2.08493 + 0.758852i) q^{73} +(-1.70063 - 4.27862i) q^{74} +(1.30196 - 3.76855i) q^{75} +(3.78728 + 1.13243i) q^{76} +(0.213693 - 0.713784i) q^{77} +(7.54281 + 9.22076i) q^{78} +(-6.45050 + 4.80222i) q^{79} +(1.13651 - 6.47125i) q^{80} +(8.60227 - 2.64593i) q^{81} +(-6.61805 + 14.1988i) q^{82} +(10.1434 - 7.55148i) q^{83} +(-6.32429 - 1.77842i) q^{84} +(-5.19023 - 1.55385i) q^{85} +(12.0285 - 1.76401i) q^{86} +(3.00057 - 0.580043i) q^{87} +(-0.526890 + 0.978376i) q^{88} +(1.18769 + 3.26316i) q^{89} +(-5.60617 - 4.13952i) q^{90} +(-8.66709 - 3.15456i) q^{91} +(1.48039 + 0.637981i) q^{92} +(4.80735 + 15.1477i) q^{93} +(-0.159480 + 5.51330i) q^{94} +(-3.22456 - 0.376897i) q^{95} +(8.70321 + 4.50045i) q^{96} +(13.1090 + 8.62192i) q^{97} +(-4.64890 + 1.24652i) q^{98} +(0.679660 + 0.962937i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.286215 1.38495i −0.202384 0.979306i
\(3\) −1.72723 + 0.129091i −0.997219 + 0.0745309i
\(4\) −1.83616 + 0.792785i −0.918081 + 0.396393i
\(5\) 1.37235 0.902608i 0.613733 0.403658i −0.204235 0.978922i \(-0.565471\pi\)
0.817968 + 0.575263i \(0.195100\pi\)
\(6\) 0.673145 + 2.35518i 0.274810 + 0.961499i
\(7\) −1.37945 1.30144i −0.521381 0.491898i 0.379963 0.925002i \(-0.375937\pi\)
−0.901344 + 0.433104i \(0.857418\pi\)
\(8\) 1.62350 + 2.31608i 0.573995 + 0.818859i
\(9\) 2.96667 0.445942i 0.988890 0.148647i
\(10\) −1.64285 1.64229i −0.519515 0.519338i
\(11\) 0.176324 + 0.351090i 0.0531636 + 0.105858i 0.918646 0.395083i \(-0.129284\pi\)
−0.865482 + 0.500940i \(0.832988\pi\)
\(12\) 3.06914 1.60636i 0.885984 0.463716i
\(13\) 4.46566 1.92630i 1.23855 0.534259i 0.326836 0.945081i \(-0.394018\pi\)
0.911715 + 0.410823i \(0.134758\pi\)
\(14\) −1.40761 + 2.28295i −0.376199 + 0.610145i
\(15\) −2.25385 + 1.73617i −0.581941 + 0.448278i
\(16\) 2.74298 2.91136i 0.685746 0.727841i
\(17\) −2.12016 2.52671i −0.514215 0.612817i 0.444988 0.895537i \(-0.353208\pi\)
−0.959203 + 0.282719i \(0.908763\pi\)
\(18\) −1.46671 3.98105i −0.345707 0.938342i
\(19\) −1.51407 1.27046i −0.347352 0.291463i 0.452374 0.891829i \(-0.350577\pi\)
−0.799726 + 0.600365i \(0.795022\pi\)
\(20\) −1.80428 + 2.74531i −0.403449 + 0.613870i
\(21\) 2.55063 + 2.06982i 0.556593 + 0.451671i
\(22\) 0.435774 0.344686i 0.0929074 0.0734874i
\(23\) −0.553115 0.586268i −0.115333 0.122245i 0.667135 0.744937i \(-0.267521\pi\)
−0.782467 + 0.622692i \(0.786039\pi\)
\(24\) −3.10316 3.79083i −0.633429 0.773801i
\(25\) −0.911759 + 2.11370i −0.182352 + 0.422739i
\(26\) −3.94596 5.63337i −0.773866 1.10479i
\(27\) −5.06657 + 1.15322i −0.975061 + 0.221937i
\(28\) 3.56465 + 1.29605i 0.673655 + 0.244930i
\(29\) −1.75252 + 0.204840i −0.325435 + 0.0380379i −0.277242 0.960800i \(-0.589420\pi\)
−0.0481931 + 0.998838i \(0.515346\pi\)
\(30\) 3.04959 + 2.62454i 0.556777 + 0.479174i
\(31\) −2.11599 8.92807i −0.380043 1.60353i −0.741374 0.671092i \(-0.765826\pi\)
0.361331 0.932438i \(-0.382323\pi\)
\(32\) −4.81717 2.96561i −0.851564 0.524251i
\(33\) −0.349875 0.583652i −0.0609054 0.101601i
\(34\) −2.89254 + 3.65950i −0.496067 + 0.627598i
\(35\) −3.06777 0.540931i −0.518548 0.0914340i
\(36\) −5.09375 + 3.17075i −0.848959 + 0.528459i
\(37\) 3.20621 0.565341i 0.527097 0.0929415i 0.0962341 0.995359i \(-0.469320\pi\)
0.430863 + 0.902417i \(0.358209\pi\)
\(38\) −1.32617 + 2.46054i −0.215133 + 0.399152i
\(39\) −7.46457 + 3.90364i −1.19529 + 0.625083i
\(40\) 4.31853 + 1.71309i 0.682819 + 0.270863i
\(41\) −8.88519 6.61478i −1.38763 1.03305i −0.993480 0.114010i \(-0.963630\pi\)
−0.394153 0.919045i \(-0.628962\pi\)
\(42\) 2.13656 4.12490i 0.329678 0.636486i
\(43\) −0.499838 + 8.58188i −0.0762245 + 1.30872i 0.715830 + 0.698275i \(0.246049\pi\)
−0.792055 + 0.610450i \(0.790989\pi\)
\(44\) −0.602098 0.504871i −0.0907697 0.0761121i
\(45\) 3.66880 3.28973i 0.546912 0.490404i
\(46\) −0.653641 + 0.933835i −0.0963741 + 0.137686i
\(47\) −3.79499 0.899430i −0.553557 0.131195i −0.0556888 0.998448i \(-0.517735\pi\)
−0.497868 + 0.867253i \(0.665884\pi\)
\(48\) −4.36194 + 5.38270i −0.629592 + 0.776926i
\(49\) −0.197889 3.39763i −0.0282699 0.485375i
\(50\) 3.18832 + 0.657768i 0.450896 + 0.0930225i
\(51\) 3.98819 + 4.09052i 0.558458 + 0.572788i
\(52\) −6.67253 + 7.07730i −0.925314 + 0.981445i
\(53\) −1.14382 1.98115i −0.157116 0.272132i 0.776712 0.629856i \(-0.216886\pi\)
−0.933827 + 0.357724i \(0.883553\pi\)
\(54\) 3.04727 + 6.68686i 0.414681 + 0.909967i
\(55\) 0.558874 + 0.322666i 0.0753586 + 0.0435083i
\(56\) 0.774707 5.30780i 0.103525 0.709285i
\(57\) 2.77916 + 1.99892i 0.368109 + 0.264764i
\(58\) 0.785291 + 2.36852i 0.103114 + 0.311002i
\(59\) 2.78857 5.55250i 0.363041 0.722874i −0.635757 0.771889i \(-0.719312\pi\)
0.998798 + 0.0490152i \(0.0156083\pi\)
\(60\) 2.76202 4.97471i 0.356575 0.642233i
\(61\) −6.81283 + 2.03963i −0.872294 + 0.261148i −0.691503 0.722374i \(-0.743051\pi\)
−0.180791 + 0.983522i \(0.557866\pi\)
\(62\) −11.7593 + 5.48589i −1.49343 + 0.696708i
\(63\) −4.67273 3.24579i −0.588708 0.408931i
\(64\) −2.72847 + 7.52033i −0.341059 + 0.940042i
\(65\) 4.38975 6.67429i 0.544481 0.827844i
\(66\) −0.708188 + 0.651609i −0.0871719 + 0.0802075i
\(67\) 8.05630 + 0.941646i 0.984233 + 0.115040i 0.592958 0.805233i \(-0.297960\pi\)
0.391275 + 0.920274i \(0.372034\pi\)
\(68\) 5.89610 + 2.95862i 0.715007 + 0.358785i
\(69\) 1.03104 + 0.941219i 0.124123 + 0.113309i
\(70\) 0.128881 + 4.40352i 0.0154042 + 0.526322i
\(71\) −12.9767 4.72312i −1.54005 0.560531i −0.573989 0.818863i \(-0.694605\pi\)
−0.966056 + 0.258332i \(0.916827\pi\)
\(72\) 5.84924 + 6.14707i 0.689339 + 0.724439i
\(73\) −2.08493 + 0.758852i −0.244022 + 0.0888169i −0.461136 0.887329i \(-0.652558\pi\)
0.217114 + 0.976146i \(0.430336\pi\)
\(74\) −1.70063 4.27862i −0.197694 0.497380i
\(75\) 1.30196 3.76855i 0.150338 0.435154i
\(76\) 3.78728 + 1.13243i 0.434431 + 0.129899i
\(77\) 0.213693 0.713784i 0.0243526 0.0813432i
\(78\) 7.54281 + 9.22076i 0.854055 + 1.04405i
\(79\) −6.45050 + 4.80222i −0.725737 + 0.540292i −0.895428 0.445206i \(-0.853131\pi\)
0.169691 + 0.985497i \(0.445723\pi\)
\(80\) 1.13651 6.47125i 0.127065 0.723507i
\(81\) 8.60227 2.64593i 0.955808 0.293992i
\(82\) −6.61805 + 14.1988i −0.730841 + 1.56799i
\(83\) 10.1434 7.55148i 1.11338 0.828883i 0.126765 0.991933i \(-0.459540\pi\)
0.986618 + 0.163050i \(0.0521331\pi\)
\(84\) −6.32429 1.77842i −0.690037 0.194041i
\(85\) −5.19023 1.55385i −0.562959 0.168539i
\(86\) 12.0285 1.76401i 1.29707 0.190218i
\(87\) 3.00057 0.580043i 0.321695 0.0621871i
\(88\) −0.526890 + 0.978376i −0.0561667 + 0.104295i
\(89\) 1.18769 + 3.26316i 0.125895 + 0.345894i 0.986588 0.163231i \(-0.0521915\pi\)
−0.860693 + 0.509125i \(0.829969\pi\)
\(90\) −5.60617 4.13952i −0.590942 0.436344i
\(91\) −8.66709 3.15456i −0.908558 0.330688i
\(92\) 1.48039 + 0.637981i 0.154342 + 0.0665142i
\(93\) 4.80735 + 15.1477i 0.498499 + 1.57074i
\(94\) −0.159480 + 5.51330i −0.0164491 + 0.568653i
\(95\) −3.22456 0.376897i −0.330833 0.0386688i
\(96\) 8.70321 + 4.50045i 0.888268 + 0.459325i
\(97\) 13.1090 + 8.62192i 1.33102 + 0.875423i 0.997726 0.0674009i \(-0.0214706\pi\)
0.333290 + 0.942824i \(0.391841\pi\)
\(98\) −4.64890 + 1.24652i −0.469609 + 0.125917i
\(99\) 0.679660 + 0.962937i 0.0683084 + 0.0967788i
\(100\) −0.00156910 4.60392i −0.000156910 0.460392i
\(101\) −3.36678 11.2458i −0.335007 1.11900i −0.945130 0.326694i \(-0.894065\pi\)
0.610123 0.792307i \(-0.291120\pi\)
\(102\) 4.52368 6.69420i 0.447911 0.662825i
\(103\) 7.15801 14.2528i 0.705299 1.40437i −0.200087 0.979778i \(-0.564123\pi\)
0.905387 0.424588i \(-0.139581\pi\)
\(104\) 11.7115 + 7.21548i 1.14840 + 0.707536i
\(105\) 5.36858 + 0.538291i 0.523920 + 0.0525318i
\(106\) −2.41642 + 2.15116i −0.234703 + 0.208940i
\(107\) 4.66691 + 2.69444i 0.451168 + 0.260482i 0.708323 0.705888i \(-0.249452\pi\)
−0.257156 + 0.966370i \(0.582785\pi\)
\(108\) 8.38878 6.13419i 0.807211 0.590263i
\(109\) 7.82074 4.51530i 0.749091 0.432488i −0.0762745 0.997087i \(-0.524303\pi\)
0.825365 + 0.564599i \(0.190969\pi\)
\(110\) 0.286918 0.866363i 0.0273565 0.0826045i
\(111\) −5.46489 + 1.39037i −0.518704 + 0.131968i
\(112\) −7.57276 + 0.446243i −0.715559 + 0.0421660i
\(113\) −1.51322 + 0.0881351i −0.142352 + 0.00829105i −0.129173 0.991622i \(-0.541232\pi\)
−0.0131791 + 0.999913i \(0.504195\pi\)
\(114\) 1.97297 4.42112i 0.184785 0.414076i
\(115\) −1.28824 0.305318i −0.120129 0.0284710i
\(116\) 3.05552 1.76549i 0.283698 0.163922i
\(117\) 12.3891 7.70611i 1.14537 0.712430i
\(118\) −8.48806 2.27282i −0.781389 0.209230i
\(119\) −0.363714 + 6.24472i −0.0333416 + 0.572453i
\(120\) −7.68025 2.40141i −0.701107 0.219218i
\(121\) 6.47657 8.69954i 0.588779 0.790868i
\(122\) 4.77471 + 8.85164i 0.432282 + 0.801390i
\(123\) 16.2007 + 10.2783i 1.46077 + 0.926760i
\(124\) 10.9634 + 14.7159i 0.984538 + 1.32152i
\(125\) 2.08273 + 11.8118i 0.186285 + 1.05648i
\(126\) −3.15785 + 7.40048i −0.281323 + 0.659287i
\(127\) 4.66243 + 0.822112i 0.413723 + 0.0729506i 0.376636 0.926361i \(-0.377081\pi\)
0.0370877 + 0.999312i \(0.488192\pi\)
\(128\) 11.1962 + 1.62636i 0.989614 + 0.143751i
\(129\) −0.244510 14.8874i −0.0215279 1.31077i
\(130\) −10.5000 4.16929i −0.920907 0.365671i
\(131\) 0.239150 + 1.00905i 0.0208947 + 0.0881615i 0.982493 0.186298i \(-0.0596491\pi\)
−0.961599 + 0.274460i \(0.911501\pi\)
\(132\) 1.10514 + 0.794304i 0.0961899 + 0.0691353i
\(133\) 0.435157 + 3.72300i 0.0377329 + 0.322825i
\(134\) −1.00170 11.4271i −0.0865338 0.987148i
\(135\) −5.91219 + 6.15574i −0.508840 + 0.529802i
\(136\) 2.40998 9.01259i 0.206654 0.772823i
\(137\) −15.0380 6.48676i −1.28478 0.554201i −0.359382 0.933191i \(-0.617012\pi\)
−0.925401 + 0.378990i \(0.876272\pi\)
\(138\) 1.00844 1.69733i 0.0858442 0.144486i
\(139\) 6.99966 + 7.41920i 0.593703 + 0.629288i 0.952650 0.304070i \(-0.0983455\pi\)
−0.358947 + 0.933358i \(0.616864\pi\)
\(140\) 6.06177 1.43885i 0.512313 0.121605i
\(141\) 6.67095 + 1.06362i 0.561795 + 0.0895734i
\(142\) −2.82716 + 19.3238i −0.237250 + 1.62162i
\(143\) 1.46371 + 1.22819i 0.122401 + 0.102707i
\(144\) 6.83923 9.86027i 0.569936 0.821689i
\(145\) −2.22018 + 1.86295i −0.184376 + 0.154710i
\(146\) 1.64771 + 2.67032i 0.136365 + 0.220998i
\(147\) 0.780405 + 5.84295i 0.0643667 + 0.481918i
\(148\) −5.43892 + 3.57989i −0.447077 + 0.294265i
\(149\) 0.515874 + 1.19593i 0.0422621 + 0.0979745i 0.938039 0.346528i \(-0.112640\pi\)
−0.895777 + 0.444503i \(0.853380\pi\)
\(150\) −5.59188 0.724535i −0.456575 0.0591580i
\(151\) −4.87627 9.70946i −0.396825 0.790144i 0.603147 0.797630i \(-0.293913\pi\)
−0.999972 + 0.00748604i \(0.997617\pi\)
\(152\) 0.484383 5.56931i 0.0392886 0.451731i
\(153\) −7.41659 6.55045i −0.599595 0.529572i
\(154\) −1.04972 0.0916580i −0.0845885 0.00738601i
\(155\) −10.9624 10.3425i −0.880523 0.830731i
\(156\) 10.6114 13.0855i 0.849592 1.04768i
\(157\) −1.17555 1.78733i −0.0938189 0.142645i 0.785529 0.618825i \(-0.212391\pi\)
−0.879347 + 0.476181i \(0.842021\pi\)
\(158\) 8.49705 + 7.55914i 0.675989 + 0.601373i
\(159\) 2.23139 + 3.27426i 0.176961 + 0.259665i
\(160\) −9.28762 + 0.278163i −0.734251 + 0.0219907i
\(161\) 1.52857i 0.120468i
\(162\) −6.12657 11.1564i −0.481349 0.876529i
\(163\) 1.74990 0.137063 0.0685315 0.997649i \(-0.478169\pi\)
0.0685315 + 0.997649i \(0.478169\pi\)
\(164\) 21.5587 + 5.10176i 1.68345 + 0.398380i
\(165\) −1.00696 0.485174i −0.0783917 0.0377707i
\(166\) −13.3616 11.8867i −1.03706 0.922590i
\(167\) −4.19376 + 2.75828i −0.324523 + 0.213442i −0.701308 0.712859i \(-0.747400\pi\)
0.376785 + 0.926301i \(0.377030\pi\)
\(168\) −0.652908 + 9.26782i −0.0503730 + 0.715028i
\(169\) 7.31035 7.74851i 0.562334 0.596040i
\(170\) −0.666484 + 7.63293i −0.0511170 + 0.585419i
\(171\) −5.05831 3.09384i −0.386818 0.236592i
\(172\) −5.88581 16.1540i −0.448789 1.23173i
\(173\) −5.44314 + 2.73365i −0.413835 + 0.207836i −0.643520 0.765429i \(-0.722527\pi\)
0.229685 + 0.973265i \(0.426230\pi\)
\(174\) −1.66214 3.98962i −0.126006 0.302452i
\(175\) 4.00857 1.72913i 0.303019 0.130710i
\(176\) 1.50580 + 0.449690i 0.113504 + 0.0338966i
\(177\) −4.09973 + 9.95045i −0.308155 + 0.747921i
\(178\) 4.17937 2.57886i 0.313257 0.193293i
\(179\) −11.6603 13.8962i −0.871530 1.03865i −0.998905 0.0467948i \(-0.985099\pi\)
0.127374 0.991855i \(-0.459345\pi\)
\(180\) −4.12846 + 8.94904i −0.307717 + 0.667022i
\(181\) 0.316525 0.377220i 0.0235271 0.0280385i −0.754153 0.656699i \(-0.771952\pi\)
0.777680 + 0.628661i \(0.216397\pi\)
\(182\) −1.88826 + 12.9064i −0.139967 + 0.956683i
\(183\) 11.5041 4.40239i 0.850404 0.325434i
\(184\) 0.459860 2.23287i 0.0339013 0.164609i
\(185\) 3.88975 3.66979i 0.285980 0.269809i
\(186\) 19.6029 10.9934i 1.43735 0.806077i
\(187\) 0.513267 1.18989i 0.0375338 0.0870131i
\(188\) 7.68128 1.35712i 0.560215 0.0989779i
\(189\) 8.48990 + 5.00303i 0.617549 + 0.363917i
\(190\) 0.400934 + 4.57372i 0.0290868 + 0.331813i
\(191\) 9.32715 1.09019i 0.674889 0.0788832i 0.228257 0.973601i \(-0.426697\pi\)
0.446632 + 0.894718i \(0.352623\pi\)
\(192\) 3.74190 13.3416i 0.270048 0.962847i
\(193\) 12.4634 2.95387i 0.897134 0.212625i 0.243917 0.969796i \(-0.421567\pi\)
0.653216 + 0.757171i \(0.273419\pi\)
\(194\) 8.18892 20.6230i 0.587930 1.48064i
\(195\) −6.72053 + 12.0947i −0.481267 + 0.866122i
\(196\) 3.05694 + 6.08171i 0.218353 + 0.434408i
\(197\) 2.93839 16.6644i 0.209352 1.18729i −0.681091 0.732198i \(-0.738494\pi\)
0.890443 0.455094i \(-0.150395\pi\)
\(198\) 1.13909 1.21690i 0.0809515 0.0864814i
\(199\) −2.04331 + 0.360291i −0.144846 + 0.0255403i −0.245601 0.969371i \(-0.578985\pi\)
0.100755 + 0.994911i \(0.467874\pi\)
\(200\) −6.37574 + 1.31988i −0.450833 + 0.0933298i
\(201\) −14.0367 0.586444i −0.990070 0.0413646i
\(202\) −14.6113 + 7.88153i −1.02804 + 0.554543i
\(203\) 2.68410 + 1.99824i 0.188387 + 0.140249i
\(204\) −10.5659 4.34909i −0.739759 0.304497i
\(205\) −18.1641 1.05794i −1.26864 0.0738897i
\(206\) −21.7881 5.83411i −1.51805 0.406482i
\(207\) −1.90235 1.49261i −0.132223 0.103743i
\(208\) 6.64107 18.2850i 0.460475 1.26783i
\(209\) 0.179077 0.755587i 0.0123870 0.0522651i
\(210\) −0.791064 7.58928i −0.0545886 0.523710i
\(211\) 0.962278 + 16.5217i 0.0662460 + 1.13740i 0.853611 + 0.520912i \(0.174408\pi\)
−0.787365 + 0.616487i \(0.788555\pi\)
\(212\) 3.67087 + 2.73091i 0.252116 + 0.187560i
\(213\) 23.0234 + 6.48275i 1.57754 + 0.444191i
\(214\) 2.39592 7.23462i 0.163782 0.494549i
\(215\) 7.06012 + 12.2285i 0.481496 + 0.833976i
\(216\) −10.8965 9.86233i −0.741415 0.671047i
\(217\) −8.70046 + 15.0696i −0.590625 + 1.02299i
\(218\) −8.49187 9.53897i −0.575142 0.646060i
\(219\) 3.50320 1.57986i 0.236724 0.106757i
\(220\) −1.28199 0.149400i −0.0864316 0.0100726i
\(221\) −14.3351 7.19936i −0.964284 0.484282i
\(222\) 3.48972 + 7.17064i 0.234215 + 0.481262i
\(223\) 9.80938 2.93673i 0.656884 0.196658i 0.0590215 0.998257i \(-0.481202\pi\)
0.597863 + 0.801598i \(0.296017\pi\)
\(224\) 2.78546 + 10.3602i 0.186111 + 0.692217i
\(225\) −1.76230 + 6.67723i −0.117487 + 0.445149i
\(226\) 0.555169 + 2.07051i 0.0369293 + 0.137728i
\(227\) −6.44606 + 9.80076i −0.427840 + 0.650499i −0.983500 0.180911i \(-0.942095\pi\)
0.555659 + 0.831410i \(0.312466\pi\)
\(228\) −6.68771 1.46707i −0.442904 0.0971590i
\(229\) −2.67998 + 22.9287i −0.177098 + 1.51517i 0.553780 + 0.832663i \(0.313185\pi\)
−0.730878 + 0.682508i \(0.760889\pi\)
\(230\) −0.0541367 + 1.87153i −0.00356967 + 0.123405i
\(231\) −0.276954 + 1.26046i −0.0182222 + 0.0829320i
\(232\) −3.31965 3.72643i −0.217946 0.244652i
\(233\) −8.13748 + 22.3576i −0.533104 + 1.46469i 0.322253 + 0.946654i \(0.395560\pi\)
−0.855357 + 0.518038i \(0.826662\pi\)
\(234\) −14.2185 14.9527i −0.929494 0.977488i
\(235\) −6.01989 + 2.19106i −0.392694 + 0.142929i
\(236\) −0.718326 + 12.4060i −0.0467591 + 0.807564i
\(237\) 10.5216 9.12725i 0.683451 0.592879i
\(238\) 8.75271 1.28361i 0.567354 0.0832039i
\(239\) −6.92444 + 23.1293i −0.447905 + 1.49611i 0.374512 + 0.927222i \(0.377810\pi\)
−0.822417 + 0.568885i \(0.807375\pi\)
\(240\) −1.12763 + 11.3241i −0.0727883 + 0.730965i
\(241\) 10.2670 + 13.7910i 0.661359 + 0.888359i 0.998591 0.0530626i \(-0.0168983\pi\)
−0.337233 + 0.941421i \(0.609491\pi\)
\(242\) −13.9021 6.47978i −0.893661 0.416536i
\(243\) −14.5166 + 5.68061i −0.931238 + 0.364411i
\(244\) 10.8925 9.14620i 0.697319 0.585525i
\(245\) −3.33830 4.48411i −0.213276 0.286479i
\(246\) 9.59798 25.3789i 0.611945 1.61810i
\(247\) −9.20861 2.75688i −0.585930 0.175416i
\(248\) 17.2428 19.3956i 1.09492 1.23162i
\(249\) −16.5452 + 14.3526i −1.04851 + 0.909559i
\(250\) 15.7626 6.26518i 0.996913 0.396245i
\(251\) 4.08338 + 11.2190i 0.257741 + 0.708136i 0.999306 + 0.0372555i \(0.0118615\pi\)
−0.741565 + 0.670881i \(0.765916\pi\)
\(252\) 11.1531 + 2.25533i 0.702579 + 0.142072i
\(253\) 0.108305 0.297566i 0.00680909 0.0187078i
\(254\) −0.195874 6.69252i −0.0122902 0.419926i
\(255\) 9.16532 + 2.01385i 0.573955 + 0.126112i
\(256\) −0.952092 15.9716i −0.0595057 0.998228i
\(257\) 1.11133 9.50806i 0.0693231 0.593097i −0.913274 0.407346i \(-0.866454\pi\)
0.982597 0.185751i \(-0.0594717\pi\)
\(258\) −20.5483 + 4.59964i −1.27928 + 0.286361i
\(259\) −5.15855 3.39283i −0.320537 0.210820i
\(260\) −2.76901 + 15.7352i −0.171727 + 0.975856i
\(261\) −5.10781 + 1.38922i −0.316165 + 0.0859904i
\(262\) 1.32904 0.620017i 0.0821084 0.0383048i
\(263\) 6.37472 + 21.2930i 0.393082 + 1.31298i 0.894224 + 0.447620i \(0.147728\pi\)
−0.501142 + 0.865365i \(0.667087\pi\)
\(264\) 0.783762 1.75790i 0.0482372 0.108191i
\(265\) −3.35792 1.68641i −0.206275 0.103595i
\(266\) 5.03162 1.66825i 0.308508 0.102287i
\(267\) −2.47267 5.48291i −0.151325 0.335549i
\(268\) −15.5392 + 4.65790i −0.949207 + 0.284527i
\(269\) −6.27576 + 10.8699i −0.382640 + 0.662751i −0.991439 0.130573i \(-0.958318\pi\)
0.608799 + 0.793324i \(0.291652\pi\)
\(270\) 10.2175 + 6.42621i 0.621819 + 0.391087i
\(271\) 18.6459 10.7652i 1.13266 0.653941i 0.188057 0.982158i \(-0.439781\pi\)
0.944602 + 0.328217i \(0.106448\pi\)
\(272\) −13.1717 0.758158i −0.798654 0.0459701i
\(273\) 15.3773 + 4.32982i 0.930678 + 0.262053i
\(274\) −4.67973 + 22.6834i −0.282713 + 1.37036i
\(275\) −0.902862 + 0.0525857i −0.0544446 + 0.00317104i
\(276\) −2.63934 0.910837i −0.158870 0.0548259i
\(277\) −2.55446 + 10.7781i −0.153483 + 0.647594i 0.840849 + 0.541270i \(0.182056\pi\)
−0.994332 + 0.106324i \(0.966092\pi\)
\(278\) 8.27180 11.8176i 0.496110 0.708775i
\(279\) −10.2589 25.5430i −0.614182 1.52922i
\(280\) −3.72770 7.98341i −0.222772 0.477100i
\(281\) 19.3364 + 1.12622i 1.15351 + 0.0671845i 0.624216 0.781252i \(-0.285418\pi\)
0.529298 + 0.848436i \(0.322456\pi\)
\(282\) −0.436260 9.54334i −0.0259789 0.568298i
\(283\) 15.9678 21.4485i 0.949190 1.27498i −0.0122374 0.999925i \(-0.503895\pi\)
0.961428 0.275058i \(-0.0886972\pi\)
\(284\) 27.5717 1.61529i 1.63608 0.0958501i
\(285\) 5.61822 + 0.234726i 0.332795 + 0.0139040i
\(286\) 1.28205 2.37868i 0.0758093 0.140654i
\(287\) 3.64790 + 20.6883i 0.215329 + 1.22119i
\(288\) −15.6135 6.64982i −0.920032 0.391844i
\(289\) 1.06284 6.02767i 0.0625200 0.354569i
\(290\) 3.21554 + 2.54163i 0.188823 + 0.149250i
\(291\) −23.7553 13.1998i −1.39256 0.773787i
\(292\) 3.22666 3.04628i 0.188826 0.178270i
\(293\) 17.4442 4.13434i 1.01910 0.241531i 0.313082 0.949726i \(-0.398638\pi\)
0.706017 + 0.708195i \(0.250490\pi\)
\(294\) 7.86881 2.75316i 0.458919 0.160567i
\(295\) −1.18484 10.1370i −0.0689840 0.590196i
\(296\) 6.51467 + 6.50801i 0.378657 + 0.378270i
\(297\) −1.29824 1.57548i −0.0753315 0.0914186i
\(298\) 1.50865 1.05675i 0.0873939 0.0612160i
\(299\) −3.59935 1.55261i −0.208156 0.0897897i
\(300\) 0.597036 + 7.95184i 0.0344699 + 0.459100i
\(301\) 11.8583 11.1877i 0.683501 0.644850i
\(302\) −12.0514 + 9.53237i −0.693482 + 0.548526i
\(303\) 7.26695 + 18.9895i 0.417475 + 1.09092i
\(304\) −7.85184 + 0.923174i −0.450334 + 0.0529477i
\(305\) −7.50859 + 8.94839i −0.429941 + 0.512384i
\(306\) −6.94929 + 12.1464i −0.397265 + 0.694365i
\(307\) −8.88661 + 7.45675i −0.507186 + 0.425579i −0.860138 0.510062i \(-0.829622\pi\)
0.352952 + 0.935642i \(0.385178\pi\)
\(308\) 0.173503 + 1.48004i 0.00988623 + 0.0843329i
\(309\) −10.5236 + 25.5419i −0.598669 + 1.45303i
\(310\) −11.1862 + 18.1426i −0.635336 + 1.03043i
\(311\) 9.39538 + 21.7809i 0.532763 + 1.23508i 0.945913 + 0.324421i \(0.105169\pi\)
−0.413150 + 0.910663i \(0.635571\pi\)
\(312\) −21.1599 10.9510i −1.19794 0.619977i
\(313\) −23.1703 + 11.6366i −1.30967 + 0.657739i −0.960227 0.279221i \(-0.909924\pi\)
−0.349438 + 0.936959i \(0.613628\pi\)
\(314\) −2.13890 + 2.13963i −0.120705 + 0.120746i
\(315\) −9.34229 0.236716i −0.526378 0.0133374i
\(316\) 8.03703 13.9315i 0.452118 0.783708i
\(317\) −4.93081 + 5.22635i −0.276942 + 0.293541i −0.850883 0.525356i \(-0.823932\pi\)
0.573941 + 0.818897i \(0.305414\pi\)
\(318\) 3.89602 4.02750i 0.218478 0.225851i
\(319\) −0.380929 0.579174i −0.0213279 0.0324275i
\(320\) 3.04350 + 12.7833i 0.170137 + 0.714606i
\(321\) −8.40868 4.05148i −0.469327 0.226131i
\(322\) 2.11699 0.437500i 0.117975 0.0243809i
\(323\) 6.51920i 0.362738i
\(324\) −13.6975 + 11.6781i −0.760973 + 0.648784i
\(325\) 11.1954i 0.621007i
\(326\) −0.500848 2.42352i −0.0277394 0.134227i
\(327\) −12.9254 + 8.80857i −0.714774 + 0.487115i
\(328\) 0.895235 31.3179i 0.0494311 1.72924i
\(329\) 4.06443 + 6.17967i 0.224079 + 0.340696i
\(330\) −0.383734 + 1.53345i −0.0211239 + 0.0844137i
\(331\) 23.4095 24.8126i 1.28670 1.36382i 0.390234 0.920716i \(-0.372394\pi\)
0.896468 0.443108i \(-0.146124\pi\)
\(332\) −12.6382 + 21.9073i −0.693613 + 1.20232i
\(333\) 9.25965 3.10696i 0.507426 0.170261i
\(334\) 5.02039 + 5.01868i 0.274704 + 0.274610i
\(335\) 11.9060 5.97941i 0.650493 0.326690i
\(336\) 13.0223 1.74834i 0.710426 0.0953800i
\(337\) 12.4757 + 28.9220i 0.679596 + 1.57548i 0.811589 + 0.584229i \(0.198603\pi\)
−0.131993 + 0.991251i \(0.542138\pi\)
\(338\) −12.8236 7.90671i −0.697513 0.430068i
\(339\) 2.60231 0.347574i 0.141338 0.0188776i
\(340\) 10.7620 1.26161i 0.583650 0.0684205i
\(341\) 2.76145 2.31714i 0.149541 0.125480i
\(342\) −2.83705 + 7.89099i −0.153410 + 0.426696i
\(343\) −12.6820 + 15.1139i −0.684766 + 0.816072i
\(344\) −20.6878 + 12.7751i −1.11541 + 0.688785i
\(345\) 2.26450 + 0.361055i 0.121917 + 0.0194385i
\(346\) 5.34387 + 6.75606i 0.287288 + 0.363208i
\(347\) 17.1427 16.1733i 0.920269 0.868229i −0.0713467 0.997452i \(-0.522730\pi\)
0.991616 + 0.129223i \(0.0412482\pi\)
\(348\) −5.04969 + 3.44386i −0.270692 + 0.184610i
\(349\) −12.0705 5.20669i −0.646117 0.278708i 0.0476973 0.998862i \(-0.484812\pi\)
−0.693814 + 0.720154i \(0.744071\pi\)
\(350\) −3.54207 5.05676i −0.189331 0.270295i
\(351\) −20.4041 + 14.9096i −1.08909 + 0.795815i
\(352\) 0.191814 2.21417i 0.0102237 0.118016i
\(353\) −2.56093 21.9101i −0.136304 1.16616i −0.872230 0.489096i \(-0.837327\pi\)
0.735926 0.677062i \(-0.236747\pi\)
\(354\) 14.9543 + 2.82995i 0.794810 + 0.150410i
\(355\) −22.0716 + 5.23107i −1.17144 + 0.277636i
\(356\) −4.76778 5.05010i −0.252692 0.267655i
\(357\) −0.177921 10.8330i −0.00941659 0.573345i
\(358\) −15.9081 + 20.1262i −0.840772 + 1.06370i
\(359\) 4.31748 24.4856i 0.227868 1.29230i −0.629258 0.777196i \(-0.716641\pi\)
0.857126 0.515106i \(-0.172248\pi\)
\(360\) 13.5756 + 3.15635i 0.715496 + 0.166354i
\(361\) −2.62096 14.8642i −0.137945 0.782327i
\(362\) −0.613024 0.330405i −0.0322198 0.0173657i
\(363\) −10.0635 + 15.8622i −0.528197 + 0.832550i
\(364\) 18.4151 1.07885i 0.965213 0.0565473i
\(365\) −2.17630 + 2.92328i −0.113913 + 0.153012i
\(366\) −9.38971 14.6725i −0.490808 0.766943i
\(367\) 13.2676 + 0.772750i 0.692563 + 0.0403372i 0.400816 0.916158i \(-0.368727\pi\)
0.291747 + 0.956496i \(0.405764\pi\)
\(368\) −3.22403 + 0.00219761i −0.168064 + 0.000114558i
\(369\) −29.3092 15.6616i −1.52578 0.815310i
\(370\) −6.19578 4.33676i −0.322103 0.225457i
\(371\) −1.00051 + 4.22150i −0.0519441 + 0.219170i
\(372\) −20.8360 24.0025i −1.08029 1.24447i
\(373\) 16.9199 0.985470i 0.876077 0.0510257i 0.385790 0.922587i \(-0.373929\pi\)
0.490287 + 0.871561i \(0.336892\pi\)
\(374\) −1.79483 0.370285i −0.0928087 0.0191470i
\(375\) −5.12217 20.1328i −0.264508 1.03965i
\(376\) −4.07803 10.2497i −0.210308 0.528590i
\(377\) −7.43158 + 4.29062i −0.382746 + 0.220978i
\(378\) 4.49900 13.1900i 0.231404 0.678421i
\(379\) −2.41292 + 4.17930i −0.123943 + 0.214676i −0.921319 0.388807i \(-0.872887\pi\)
0.797376 + 0.603483i \(0.206221\pi\)
\(380\) 6.21962 1.86434i 0.319060 0.0956387i
\(381\) −8.15923 0.818100i −0.418010 0.0419125i
\(382\) −4.17942 12.6056i −0.213838 0.644958i
\(383\) −16.8173 8.44598i −0.859326 0.431570i −0.0361432 0.999347i \(-0.511507\pi\)
−0.823182 + 0.567777i \(0.807804\pi\)
\(384\) −19.5484 1.36377i −0.997575 0.0695948i
\(385\) −0.351006 1.17244i −0.0178889 0.0597531i
\(386\) −7.65817 16.4157i −0.389790 0.835537i
\(387\) 2.34417 + 25.6825i 0.119161 + 1.30552i
\(388\) −30.9056 5.43863i −1.56899 0.276104i
\(389\) −23.7289 15.6067i −1.20310 0.791293i −0.220206 0.975453i \(-0.570673\pi\)
−0.982896 + 0.184160i \(0.941043\pi\)
\(390\) 18.6741 + 5.84589i 0.945600 + 0.296018i
\(391\) −0.308635 + 2.64054i −0.0156084 + 0.133538i
\(392\) 7.54791 5.97438i 0.381227 0.301752i
\(393\) −0.543329 1.71200i −0.0274073 0.0863590i
\(394\) −23.9204 + 0.700093i −1.20509 + 0.0352702i
\(395\) −4.51781 + 12.4126i −0.227316 + 0.624545i
\(396\) −2.01137 1.22928i −0.101075 0.0617739i
\(397\) −0.331078 0.909629i −0.0166163 0.0456530i 0.931107 0.364746i \(-0.118844\pi\)
−0.947723 + 0.319093i \(0.896622\pi\)
\(398\) 1.08381 + 2.72676i 0.0543265 + 0.136680i
\(399\) −1.23222 6.37432i −0.0616884 0.319115i
\(400\) 3.65280 + 8.45229i 0.182640 + 0.422615i
\(401\) −1.75306 0.524832i −0.0875437 0.0262089i 0.242732 0.970093i \(-0.421956\pi\)
−0.330276 + 0.943885i \(0.607142\pi\)
\(402\) 3.20531 + 19.6079i 0.159866 + 0.977953i
\(403\) −26.6474 35.7937i −1.32740 1.78301i
\(404\) 15.0975 + 17.9800i 0.751127 + 0.894539i
\(405\) 9.41708 11.3956i 0.467939 0.566252i
\(406\) 1.99922 4.28926i 0.0992198 0.212872i
\(407\) 0.763816 + 1.02598i 0.0378610 + 0.0508561i
\(408\) −2.99915 + 15.8780i −0.148480 + 0.786076i
\(409\) 6.77199 22.6200i 0.334853 1.11849i −0.610384 0.792105i \(-0.708985\pi\)
0.945238 0.326383i \(-0.105830\pi\)
\(410\) 3.73365 + 25.4592i 0.184392 + 1.25734i
\(411\) 26.8115 + 9.26287i 1.32251 + 0.456904i
\(412\) −1.84388 + 31.8451i −0.0908414 + 1.56890i
\(413\) −11.0729 + 4.03022i −0.544863 + 0.198314i
\(414\) −1.52270 + 3.06187i −0.0748367 + 0.150482i
\(415\) 7.10426 19.5188i 0.348734 0.958139i
\(416\) −27.2245 3.96411i −1.33479 0.194356i
\(417\) −13.0478 11.9111i −0.638953 0.583289i
\(418\) −1.09770 0.0317527i −0.0536905 0.00155308i
\(419\) 0.0296287 0.253490i 0.00144746 0.0123838i −0.992495 0.122283i \(-0.960979\pi\)
0.993943 + 0.109899i \(0.0350527\pi\)
\(420\) −10.2843 + 3.26775i −0.501824 + 0.159450i
\(421\) −11.1411 + 16.9392i −0.542983 + 0.825566i −0.997887 0.0649747i \(-0.979303\pi\)
0.454904 + 0.890541i \(0.349674\pi\)
\(422\) 22.6062 6.06145i 1.10045 0.295067i
\(423\) −11.6596 0.975966i −0.566909 0.0474531i
\(424\) 2.73152 5.86559i 0.132654 0.284858i
\(425\) 7.27377 2.17762i 0.352830 0.105630i
\(426\) 2.38863 33.7417i 0.115729 1.63479i
\(427\) 12.0524 + 6.05293i 0.583256 + 0.292922i
\(428\) −10.7053 1.24757i −0.517461 0.0603038i
\(429\) −2.68671 1.93243i −0.129716 0.0932985i
\(430\) 14.9151 13.2779i 0.719271 0.640316i
\(431\) 12.4225 21.5164i 0.598370 1.03641i −0.394692 0.918813i \(-0.629149\pi\)
0.993062 0.117593i \(-0.0375179\pi\)
\(432\) −10.5401 + 17.9139i −0.507109 + 0.861882i
\(433\) 3.78722 + 6.55966i 0.182002 + 0.315237i 0.942562 0.334030i \(-0.108409\pi\)
−0.760560 + 0.649268i \(0.775075\pi\)
\(434\) 23.3609 + 7.73653i 1.12136 + 0.371365i
\(435\) 3.59428 3.50436i 0.172332 0.168021i
\(436\) −10.7805 + 14.4910i −0.516291 + 0.693993i
\(437\) 0.0926281 + 1.59036i 0.00443100 + 0.0760773i
\(438\) −3.19069 4.39957i −0.152457 0.210219i
\(439\) 5.05965 21.3483i 0.241484 1.01890i −0.708280 0.705932i \(-0.750528\pi\)
0.949764 0.312968i \(-0.101323\pi\)
\(440\) 0.160013 + 1.81825i 0.00762831 + 0.0866816i
\(441\) −2.10222 9.99139i −0.100106 0.475780i
\(442\) −5.86782 + 21.9139i −0.279104 + 1.04234i
\(443\) 29.7826 + 1.73464i 1.41501 + 0.0824151i 0.748528 0.663104i \(-0.230761\pi\)
0.666485 + 0.745519i \(0.267798\pi\)
\(444\) 8.93216 6.88543i 0.423901 0.326768i
\(445\) 4.57528 + 3.40617i 0.216889 + 0.161468i
\(446\) −6.87481 12.7449i −0.325532 0.603490i
\(447\) −1.04542 1.99906i −0.0494467 0.0945522i
\(448\) 13.5510 6.82295i 0.640227 0.322354i
\(449\) −2.91507 + 0.514006i −0.137571 + 0.0242574i −0.242010 0.970274i \(-0.577807\pi\)
0.104439 + 0.994531i \(0.466695\pi\)
\(450\) 9.75201 + 0.529577i 0.459714 + 0.0249645i
\(451\) 0.755709 4.28584i 0.0355850 0.201812i
\(452\) 2.70865 1.36149i 0.127404 0.0640391i
\(453\) 9.67587 + 16.1410i 0.454612 + 0.758371i
\(454\) 15.4185 + 6.12234i 0.723626 + 0.287335i
\(455\) −14.7416 + 3.49383i −0.691097 + 0.163793i
\(456\) −0.117692 + 9.68203i −0.00551144 + 0.453403i
\(457\) −24.5064 + 2.86438i −1.14636 + 0.133990i −0.667992 0.744169i \(-0.732846\pi\)
−0.478369 + 0.878159i \(0.658772\pi\)
\(458\) 32.5221 2.85090i 1.51966 0.133214i
\(459\) 13.6558 + 10.3567i 0.637397 + 0.483411i
\(460\) 2.60746 0.460683i 0.121574 0.0214794i
\(461\) 14.5125 33.6437i 0.675914 1.56695i −0.140887 0.990026i \(-0.544995\pi\)
0.816801 0.576920i \(-0.195745\pi\)
\(462\) 1.82494 + 0.0228055i 0.0849037 + 0.00106101i
\(463\) 30.1479 28.4430i 1.40109 1.32186i 0.515887 0.856657i \(-0.327463\pi\)
0.885204 0.465204i \(-0.154019\pi\)
\(464\) −4.21077 + 5.66410i −0.195480 + 0.262949i
\(465\) 20.2698 + 16.4488i 0.939990 + 0.762794i
\(466\) 33.2931 + 4.87093i 1.54227 + 0.225641i
\(467\) −13.3951 + 15.9637i −0.619853 + 0.738712i −0.981045 0.193780i \(-0.937925\pi\)
0.361192 + 0.932491i \(0.382370\pi\)
\(468\) −16.6391 + 23.9716i −0.769145 + 1.10809i
\(469\) −9.88773 11.7837i −0.456573 0.544122i
\(470\) 4.75748 + 7.71012i 0.219446 + 0.355641i
\(471\) 2.26117 + 2.93539i 0.104189 + 0.135256i
\(472\) 17.3873 2.55595i 0.800315 0.117647i
\(473\) −3.10114 + 1.33770i −0.142591 + 0.0615076i
\(474\) −15.6522 11.9595i −0.718930 0.549318i
\(475\) 4.06583 2.04194i 0.186553 0.0936905i
\(476\) −4.28289 11.7547i −0.196306 0.538774i
\(477\) −4.27681 5.36735i −0.195822 0.245754i
\(478\) 34.0147 + 2.97006i 1.55580 + 0.135847i
\(479\) 11.8369 12.5464i 0.540843 0.573260i −0.398096 0.917344i \(-0.630329\pi\)
0.938939 + 0.344084i \(0.111810\pi\)
\(480\) 16.0060 1.67940i 0.730570 0.0766539i
\(481\) 13.2288 8.70073i 0.603182 0.396719i
\(482\) 16.1613 18.1665i 0.736127 0.827463i
\(483\) −0.197325 2.64020i −0.00897861 0.120133i
\(484\) −4.99516 + 21.1083i −0.227053 + 0.959468i
\(485\) 25.7723 1.17026
\(486\) 12.0222 + 18.4788i 0.545338 + 0.838216i
\(487\) 24.3705i 1.10433i 0.833734 + 0.552166i \(0.186199\pi\)
−0.833734 + 0.552166i \(0.813801\pi\)
\(488\) −15.7846 12.4677i −0.714535 0.564388i
\(489\) −3.02249 + 0.225897i −0.136682 + 0.0102154i
\(490\) −5.25479 + 5.90679i −0.237387 + 0.266841i
\(491\) −1.73770 2.64205i −0.0784214 0.119234i 0.794147 0.607725i \(-0.207918\pi\)
−0.872569 + 0.488491i \(0.837547\pi\)
\(492\) −37.8956 6.02888i −1.70846 0.271803i
\(493\) 4.23320 + 3.99382i 0.190654 + 0.179873i
\(494\) −1.18249 + 13.5425i −0.0532028 + 0.609306i
\(495\) 1.80189 + 0.708019i 0.0809887 + 0.0318231i
\(496\) −31.7970 18.3291i −1.42773 0.823002i
\(497\) 11.7537 + 23.4036i 0.527227 + 1.04980i
\(498\) 24.6131 + 18.8063i 1.10294 + 0.842731i
\(499\) −11.7841 27.3187i −0.527529 1.22295i −0.948760 0.315997i \(-0.897661\pi\)
0.421231 0.906954i \(-0.361598\pi\)
\(500\) −13.1884 20.0372i −0.589805 0.896090i
\(501\) 6.88754 5.30557i 0.307712 0.237036i
\(502\) 14.3690 8.86631i 0.641319 0.395723i
\(503\) 2.04701 1.71764i 0.0912715 0.0765859i −0.596010 0.802977i \(-0.703248\pi\)
0.687282 + 0.726391i \(0.258804\pi\)
\(504\) −0.0686704 16.0920i −0.00305882 0.716794i
\(505\) −14.7710 12.3943i −0.657299 0.551539i
\(506\) −0.443112 0.0648292i −0.0196987 0.00288201i
\(507\) −11.6264 + 14.3272i −0.516347 + 0.636293i
\(508\) −9.21273 + 2.18677i −0.408749 + 0.0970224i
\(509\) −4.65600 4.93507i −0.206374 0.218743i 0.615917 0.787811i \(-0.288786\pi\)
−0.822291 + 0.569068i \(0.807304\pi\)
\(510\) 0.165828 13.2699i 0.00734301 0.587601i
\(511\) 3.86365 + 1.66661i 0.170918 + 0.0737267i
\(512\) −21.8474 + 5.88992i −0.965528 + 0.260300i
\(513\) 9.13626 + 4.69080i 0.403376 + 0.207104i
\(514\) −13.4863 + 1.18221i −0.594853 + 0.0521451i
\(515\) −3.04137 26.0206i −0.134019 1.14661i
\(516\) 12.2515 + 27.1419i 0.539342 + 1.19486i
\(517\) −0.353367 1.49097i −0.0155411 0.0655730i
\(518\) −3.22244 + 8.11540i −0.141586 + 0.356570i
\(519\) 9.04869 5.42431i 0.397193 0.238101i
\(520\) 22.5850 0.668712i 0.990417 0.0293249i
\(521\) −8.10996 1.43001i −0.355304 0.0626497i −0.00685252 0.999977i \(-0.502181\pi\)
−0.348451 + 0.937327i \(0.613292\pi\)
\(522\) 3.38592 + 6.67643i 0.148198 + 0.292220i
\(523\) −2.63348 14.9352i −0.115154 0.653072i −0.986674 0.162711i \(-0.947976\pi\)
0.871519 0.490361i \(-0.163135\pi\)
\(524\) −1.23908 1.66319i −0.0541296 0.0726569i
\(525\) −6.70052 + 3.50408i −0.292435 + 0.152931i
\(526\) 27.6652 14.9230i 1.20626 0.650675i
\(527\) −18.0724 + 24.2755i −0.787246 + 1.05746i
\(528\) −2.65893 0.582333i −0.115715 0.0253428i
\(529\) 1.29956 22.3125i 0.0565025 0.970110i
\(530\) −1.37451 + 5.13322i −0.0597047 + 0.222973i
\(531\) 5.79668 17.7160i 0.251554 0.768808i
\(532\) −3.75056 6.49105i −0.162607 0.281423i
\(533\) −52.4202 12.4238i −2.27057 0.538136i
\(534\) −6.88584 + 4.99381i −0.297979 + 0.216103i
\(535\) 8.83666 0.514677i 0.382042 0.0222514i
\(536\) 10.8985 + 20.1878i 0.470743 + 0.871981i
\(537\) 21.9339 + 22.4967i 0.946518 + 0.970805i
\(538\) 16.8505 + 5.58046i 0.726477 + 0.240591i
\(539\) 1.15798 0.668559i 0.0498777 0.0287969i
\(540\) 5.97556 15.9900i 0.257147 0.688101i
\(541\) 23.2343 + 13.4143i 0.998920 + 0.576727i 0.907929 0.419125i \(-0.137663\pi\)
0.0909916 + 0.995852i \(0.470996\pi\)
\(542\) −20.2460 22.7425i −0.869641 0.976873i
\(543\) −0.498017 + 0.692407i −0.0213719 + 0.0297140i
\(544\) 2.71994 + 18.4592i 0.116616 + 0.791430i
\(545\) 6.65723 13.2556i 0.285164 0.567809i
\(546\) 1.59536 22.5361i 0.0682751 0.964454i
\(547\) 6.47693 + 21.6345i 0.276934 + 0.925023i 0.977411 + 0.211348i \(0.0677854\pi\)
−0.700477 + 0.713675i \(0.747029\pi\)
\(548\) 32.7548 0.0111634i 1.39922 0.000476878i
\(549\) −19.3019 + 9.08903i −0.823784 + 0.387910i
\(550\) 0.331241 + 1.23537i 0.0141242 + 0.0526762i
\(551\) 2.91369 + 1.91636i 0.124127 + 0.0816398i
\(552\) −0.506042 + 3.91605i −0.0215386 + 0.166678i
\(553\) 15.1479 + 1.77054i 0.644154 + 0.0752909i
\(554\) 15.6582 + 0.452938i 0.665255 + 0.0192435i
\(555\) −6.24477 + 6.84072i −0.265076 + 0.290373i
\(556\) −18.7343 8.07363i −0.794513 0.342398i
\(557\) 9.80272 + 3.56790i 0.415355 + 0.151177i 0.541240 0.840868i \(-0.317955\pi\)
−0.125885 + 0.992045i \(0.540177\pi\)
\(558\) −32.4396 + 21.5188i −1.37328 + 0.910963i
\(559\) 14.2992 + 39.2866i 0.604790 + 1.66165i
\(560\) −9.98969 + 7.44764i −0.422141 + 0.314720i
\(561\) −0.732927 + 2.12147i −0.0309442 + 0.0895685i
\(562\) −3.97461 27.1023i −0.167659 1.14324i
\(563\) 27.3778 + 8.19636i 1.15383 + 0.345435i 0.805882 0.592077i \(-0.201692\pi\)
0.347953 + 0.937512i \(0.386877\pi\)
\(564\) −13.0922 + 3.33564i −0.551280 + 0.140456i
\(565\) −1.99712 + 1.48680i −0.0840193 + 0.0625500i
\(566\) −34.2754 15.9757i −1.44070 0.671511i
\(567\) −15.3099 7.54543i −0.642955 0.316878i
\(568\) −10.1285 37.7230i −0.424983 1.58282i
\(569\) −26.8711 + 20.0048i −1.12649 + 0.838643i −0.988415 0.151778i \(-0.951500\pi\)
−0.138079 + 0.990421i \(0.544093\pi\)
\(570\) −1.28294 7.84813i −0.0537362 0.328722i
\(571\) −0.699041 + 2.33496i −0.0292540 + 0.0977151i −0.971370 0.237572i \(-0.923648\pi\)
0.942116 + 0.335288i \(0.108833\pi\)
\(572\) −3.66129 1.09476i −0.153086 0.0457742i
\(573\) −15.9694 + 3.08706i −0.667133 + 0.128964i
\(574\) 27.6081 10.9734i 1.15234 0.458022i
\(575\) 1.74350 0.634582i 0.0727090 0.0264639i
\(576\) −4.74085 + 23.5271i −0.197535 + 0.980296i
\(577\) 5.13434 + 1.86875i 0.213745 + 0.0777969i 0.446674 0.894697i \(-0.352609\pi\)
−0.232928 + 0.972494i \(0.574831\pi\)
\(578\) −8.65221 + 0.253229i −0.359884 + 0.0105329i
\(579\) −21.1458 + 6.71095i −0.878791 + 0.278897i
\(580\) 2.59969 5.18081i 0.107946 0.215121i
\(581\) −23.8201 2.78417i −0.988223 0.115507i
\(582\) −11.4819 + 36.6778i −0.475941 + 1.52035i
\(583\) 0.493880 0.750907i 0.0204544 0.0310994i
\(584\) −5.14245 3.59687i −0.212796 0.148839i
\(585\) 10.0466 21.7580i 0.415376 0.899582i
\(586\) −10.7186 22.9760i −0.442783 0.949128i
\(587\) 27.5032 8.23393i 1.13518 0.339850i 0.336545 0.941667i \(-0.390741\pi\)
0.798634 + 0.601817i \(0.205556\pi\)
\(588\) −6.06515 10.1099i −0.250123 0.416925i
\(589\) −8.13898 + 16.2060i −0.335361 + 0.667758i
\(590\) −13.7000 + 4.54229i −0.564021 + 0.187003i
\(591\) −2.92405 + 29.1627i −0.120279 + 1.19959i
\(592\) 7.14866 10.8852i 0.293808 0.447377i
\(593\) 34.3819 + 19.8504i 1.41190 + 0.815159i 0.995567 0.0940554i \(-0.0299831\pi\)
0.416329 + 0.909214i \(0.363316\pi\)
\(594\) −1.81038 + 2.24892i −0.0742809 + 0.0922743i
\(595\) 5.13739 + 8.89823i 0.210613 + 0.364792i
\(596\) −1.89535 1.78695i −0.0776364 0.0731962i
\(597\) 3.48276 0.886080i 0.142540 0.0362648i
\(598\) −1.12009 + 5.42929i −0.0458041 + 0.222020i
\(599\) 1.46092 + 25.0831i 0.0596918 + 1.02487i 0.886602 + 0.462534i \(0.153060\pi\)
−0.826910 + 0.562334i \(0.809903\pi\)
\(600\) 10.8420 3.10280i 0.442623 0.126671i
\(601\) 36.4622 + 8.64171i 1.48733 + 0.352503i 0.892388 0.451269i \(-0.149029\pi\)
0.594938 + 0.803772i \(0.297177\pi\)
\(602\) −18.8885 13.2210i −0.769836 0.538849i
\(603\) 24.3203 0.799086i 0.990399 0.0325413i
\(604\) 16.6511 + 13.9623i 0.677525 + 0.568118i
\(605\) 1.03584 17.7846i 0.0421127 0.723047i
\(606\) 24.2196 15.4994i 0.983854 0.629621i
\(607\) −18.7572 13.9642i −0.761331 0.566790i 0.144964 0.989437i \(-0.453694\pi\)
−0.906294 + 0.422647i \(0.861101\pi\)
\(608\) 3.52586 + 10.6102i 0.142993 + 0.430299i
\(609\) −4.89402 3.10493i −0.198316 0.125818i
\(610\) 14.5421 + 7.83785i 0.588794 + 0.317345i
\(611\) −18.6797 + 3.29374i −0.755700 + 0.133250i
\(612\) 18.8112 + 6.14792i 0.760396 + 0.248515i
\(613\) −29.7509 5.24589i −1.20163 0.211879i −0.463226 0.886240i \(-0.653308\pi\)
−0.738402 + 0.674361i \(0.764419\pi\)
\(614\) 12.8707 + 10.1733i 0.519419 + 0.410560i
\(615\) 31.5102 0.517523i 1.27062 0.0208685i
\(616\) 2.00011 0.663900i 0.0805869 0.0267493i
\(617\) 3.93834 + 16.6172i 0.158552 + 0.668982i 0.993022 + 0.117929i \(0.0376257\pi\)
−0.834470 + 0.551053i \(0.814226\pi\)
\(618\) 38.3862 + 7.26423i 1.54412 + 0.292210i
\(619\) −7.96492 + 0.930966i −0.320137 + 0.0374187i −0.274644 0.961546i \(-0.588560\pi\)
−0.0454932 + 0.998965i \(0.514486\pi\)
\(620\) 28.3282 + 10.2997i 1.13769 + 0.413645i
\(621\) 3.47849 + 2.33250i 0.139587 + 0.0936001i
\(622\) 27.4764 19.2461i 1.10170 0.771700i
\(623\) 2.60845 6.04706i 0.104505 0.242270i
\(624\) −9.11025 + 32.4397i −0.364702 + 1.29863i
\(625\) 5.62114 + 5.95806i 0.224846 + 0.238322i
\(626\) 22.7478 + 28.7592i 0.909183 + 1.14945i
\(627\) −0.211769 + 1.32819i −0.00845723 + 0.0530429i
\(628\) 3.57547 + 2.34988i 0.142677 + 0.0937703i
\(629\) −8.22613 6.90254i −0.327997 0.275222i
\(630\) 2.34606 + 13.0063i 0.0934693 + 0.518185i
\(631\) 14.6241 + 17.4283i 0.582175 + 0.693809i 0.974082 0.226196i \(-0.0726289\pi\)
−0.391907 + 0.920005i \(0.628185\pi\)
\(632\) −21.5947 7.14346i −0.858992 0.284152i
\(633\) −3.79488 28.4126i −0.150833 1.12930i
\(634\) 8.64949 + 5.33305i 0.343515 + 0.211803i
\(635\) 7.14052 3.08012i 0.283363 0.122231i
\(636\) −6.69298 4.24305i −0.265394 0.168248i
\(637\) −7.42854 14.7914i −0.294330 0.586058i
\(638\) −0.693098 + 0.693335i −0.0274400 + 0.0274494i
\(639\) −40.6037 8.22510i −1.60626 0.325380i
\(640\) 16.8331 7.87384i 0.665385 0.311241i
\(641\) 2.66575 + 2.51501i 0.105291 + 0.0993368i 0.737087 0.675798i \(-0.236201\pi\)
−0.631796 + 0.775134i \(0.717682\pi\)
\(642\) −3.20439 + 12.8052i −0.126467 + 0.505380i
\(643\) −8.11628 + 5.33816i −0.320075 + 0.210516i −0.699371 0.714759i \(-0.746536\pi\)
0.379296 + 0.925275i \(0.376166\pi\)
\(644\) −1.21183 2.80670i −0.0477527 0.110600i
\(645\) −13.7731 20.2101i −0.542314 0.795770i
\(646\) 9.02875 1.86589i 0.355231 0.0734125i
\(647\) 38.4661 1.51226 0.756130 0.654422i \(-0.227088\pi\)
0.756130 + 0.654422i \(0.227088\pi\)
\(648\) 20.0940 + 15.6279i 0.789367 + 0.613922i
\(649\) 2.44112 0.0958222
\(650\) 15.5050 3.20428i 0.608156 0.125682i
\(651\) 13.0824 27.1519i 0.512738 1.06417i
\(652\) −3.21310 + 1.38730i −0.125835 + 0.0543307i
\(653\) −10.7746 + 7.08654i −0.421641 + 0.277318i −0.742548 0.669793i \(-0.766383\pi\)
0.320907 + 0.947111i \(0.396012\pi\)
\(654\) 15.8988 + 15.3798i 0.621694 + 0.601398i
\(655\) 1.23898 + 1.16892i 0.0484109 + 0.0456733i
\(656\) −43.6299 + 7.72380i −1.70346 + 0.301564i
\(657\) −5.84689 + 3.18102i −0.228109 + 0.124103i
\(658\) 7.39522 7.39774i 0.288296 0.288394i
\(659\) −0.835439 1.66349i −0.0325441 0.0648006i 0.876773 0.480904i \(-0.159692\pi\)
−0.909317 + 0.416104i \(0.863395\pi\)
\(660\) 2.23358 + 0.0925552i 0.0869420 + 0.00360271i
\(661\) −16.1285 + 6.95715i −0.627325 + 0.270602i −0.685916 0.727680i \(-0.740598\pi\)
0.0585913 + 0.998282i \(0.481339\pi\)
\(662\) −41.0643 25.3192i −1.59601 0.984058i
\(663\) 25.6895 + 10.5844i 0.997696 + 0.411066i
\(664\) 33.9577 + 11.2331i 1.31781 + 0.435929i
\(665\) 3.95760 + 4.71648i 0.153469 + 0.182897i
\(666\) −6.95323 11.9349i −0.269432 0.462467i
\(667\) 1.08944 + 0.914147i 0.0421832 + 0.0353959i
\(668\) 5.51370 8.38940i 0.213332 0.324596i
\(669\) −16.5640 + 6.33873i −0.640400 + 0.245070i
\(670\) −11.6888 14.7778i −0.451579 0.570915i
\(671\) −1.91736 2.03228i −0.0740187 0.0784553i
\(672\) −6.14855 17.5348i −0.237185 0.676421i
\(673\) 2.76668 6.41389i 0.106648 0.247237i −0.856533 0.516093i \(-0.827386\pi\)
0.963181 + 0.268855i \(0.0866453\pi\)
\(674\) 36.4847 25.5561i 1.40534 0.984385i
\(675\) 2.18194 11.7606i 0.0839828 0.452667i
\(676\) −7.28007 + 20.0231i −0.280003 + 0.770118i
\(677\) 4.49331 0.525192i 0.172692 0.0201848i −0.0293075 0.999570i \(-0.509330\pi\)
0.201999 + 0.979386i \(0.435256\pi\)
\(678\) −1.22619 3.50458i −0.0470916 0.134593i
\(679\) −6.86223 28.9540i −0.263348 1.11115i
\(680\) −4.82750 14.5437i −0.185126 0.557725i
\(681\) 9.86866 17.7603i 0.378168 0.680577i
\(682\) −3.99948 3.16127i −0.153148 0.121051i
\(683\) 35.6596 + 6.28774i 1.36448 + 0.240594i 0.807467 0.589913i \(-0.200838\pi\)
0.557009 + 0.830507i \(0.311949\pi\)
\(684\) 11.7406 + 1.67064i 0.448914 + 0.0638787i
\(685\) −26.4924 + 4.67132i −1.01222 + 0.178482i
\(686\) 24.5617 + 13.2382i 0.937770 + 0.505435i
\(687\) 1.66905 39.9492i 0.0636784 1.52416i
\(688\) 23.6139 + 24.9952i 0.900273 + 0.952932i
\(689\) −8.92419 6.64382i −0.339985 0.253109i
\(690\) −0.148091 3.23955i −0.00563774 0.123328i
\(691\) 1.94309 33.3616i 0.0739188 1.26914i −0.733717 0.679455i \(-0.762216\pi\)
0.807636 0.589681i \(-0.200747\pi\)
\(692\) 7.82730 9.33467i 0.297549 0.354851i
\(693\) 0.315650 2.21286i 0.0119906 0.0840595i
\(694\) −27.3057 19.1127i −1.03651 0.725509i
\(695\) 16.3026 + 3.86379i 0.618393 + 0.146562i
\(696\) 6.21486 + 6.00787i 0.235574 + 0.227728i
\(697\) 2.12441 + 36.4747i 0.0804677 + 1.38158i
\(698\) −3.75625 + 18.2072i −0.142176 + 0.689152i
\(699\) 11.1692 39.6672i 0.422457 1.50035i
\(700\) −5.98956 + 6.35290i −0.226384 + 0.240117i
\(701\) 17.4920 + 30.2971i 0.660665 + 1.14431i 0.980441 + 0.196812i \(0.0630589\pi\)
−0.319776 + 0.947493i \(0.603608\pi\)
\(702\) 26.4890 + 23.9913i 0.999761 + 0.905493i
\(703\) −5.57267 3.21738i −0.210177 0.121346i
\(704\) −3.12141 + 0.368076i −0.117642 + 0.0138724i
\(705\) 10.1149 4.56159i 0.380949 0.171799i
\(706\) −29.6114 + 9.81775i −1.11444 + 0.369496i
\(707\) −9.99147 + 19.8947i −0.375768 + 0.748215i
\(708\) −0.360794 21.5208i −0.0135595 0.808803i
\(709\) −42.9931 + 12.8713i −1.61464 + 0.483391i −0.961719 0.274036i \(-0.911641\pi\)
−0.652919 + 0.757427i \(0.726456\pi\)
\(710\) 13.5620 + 29.0708i 0.508972 + 1.09101i
\(711\) −16.9950 + 17.1231i −0.637362 + 0.642168i
\(712\) −5.62952 + 8.04854i −0.210975 + 0.301632i
\(713\) −4.06386 + 6.17879i −0.152193 + 0.231398i
\(714\) −14.9523 + 3.34699i −0.559575 + 0.125258i
\(715\) 3.11729 + 0.364359i 0.116580 + 0.0136263i
\(716\) 32.4269 + 16.2715i 1.21185 + 0.608096i
\(717\) 8.97434 40.8435i 0.335153 1.52533i
\(718\) −35.1471 + 1.02867i −1.31168 + 0.0383896i
\(719\) −7.92331 2.88385i −0.295489 0.107549i 0.190022 0.981780i \(-0.439144\pi\)
−0.485511 + 0.874231i \(0.661366\pi\)
\(720\) 0.485845 19.7049i 0.0181064 0.734357i
\(721\) −28.4232 + 10.3452i −1.05853 + 0.385275i
\(722\) −19.8360 + 7.88426i −0.738220 + 0.293422i
\(723\) −19.5139 22.4950i −0.725729 0.836596i
\(724\) −0.282137 + 0.943573i −0.0104855 + 0.0350676i
\(725\) 1.16491 3.89106i 0.0432636 0.144510i
\(726\) 24.8487 + 9.39744i 0.922221 + 0.348772i
\(727\) 6.93185 5.16057i 0.257088 0.191395i −0.460897 0.887454i \(-0.652472\pi\)
0.717985 + 0.696059i \(0.245065\pi\)
\(728\) −6.76483 25.1951i −0.250721 0.933794i
\(729\) 24.3402 11.6857i 0.901488 0.432804i
\(730\) 4.67149 + 2.17738i 0.172899 + 0.0805885i
\(731\) 22.7437 16.9320i 0.841205 0.626254i
\(732\) −17.6332 + 17.2037i −0.651740 + 0.635869i
\(733\) 31.1489 + 9.32535i 1.15051 + 0.344440i 0.804594 0.593826i \(-0.202383\pi\)
0.345915 + 0.938266i \(0.387568\pi\)
\(734\) −2.72717 18.5961i −0.100662 0.686395i
\(735\) 6.34488 + 7.31416i 0.234034 + 0.269787i
\(736\) 0.925808 + 4.46448i 0.0341257 + 0.164563i
\(737\) 1.08992 + 2.99452i 0.0401475 + 0.110304i
\(738\) −13.3017 + 45.0743i −0.489644 + 1.65921i
\(739\) −6.56714 2.39024i −0.241576 0.0879265i 0.218395 0.975861i \(-0.429918\pi\)
−0.459971 + 0.887934i \(0.652140\pi\)
\(740\) −4.23286 + 9.82207i −0.155603 + 0.361067i
\(741\) 16.2613 + 3.57302i 0.597374 + 0.131258i
\(742\) 6.13293 + 0.177404i 0.225147 + 0.00651270i
\(743\) 16.3302 + 1.90872i 0.599096 + 0.0700243i 0.410236 0.911980i \(-0.365446\pi\)
0.188861 + 0.982004i \(0.439521\pi\)
\(744\) −27.2786 + 35.7266i −1.00008 + 1.30980i
\(745\) 1.78742 + 1.17560i 0.0654859 + 0.0430707i
\(746\) −6.20754 23.1511i −0.227274 0.847621i
\(747\) 26.7246 26.9261i 0.977803 0.985176i
\(748\) 0.000883309 2.59173i 3.22970e−5 0.0947632i
\(749\) −2.93110 9.79055i −0.107100 0.357739i
\(750\) −26.4169 + 12.8562i −0.964608 + 0.469444i
\(751\) −18.2641 + 36.3669i −0.666468 + 1.32705i 0.265361 + 0.964149i \(0.414509\pi\)
−0.931829 + 0.362898i \(0.881787\pi\)
\(752\) −13.0282 + 8.58149i −0.475089 + 0.312935i
\(753\) −8.50122 18.8507i −0.309802 0.686957i
\(754\) 8.06932 + 9.06431i 0.293867 + 0.330103i
\(755\) −15.4558 8.92340i −0.562493 0.324756i
\(756\) −19.5552 2.45571i −0.711214 0.0893133i
\(757\) 32.7442 18.9049i 1.19011 0.687109i 0.231777 0.972769i \(-0.425546\pi\)
0.958331 + 0.285660i \(0.0922127\pi\)
\(758\) 6.47872 + 2.14559i 0.235318 + 0.0779313i
\(759\) −0.148655 + 0.527947i −0.00539584 + 0.0191633i
\(760\) −4.36216 8.08024i −0.158232 0.293101i
\(761\) −50.0751 + 2.91654i −1.81522 + 0.105725i −0.931826 0.362904i \(-0.881785\pi\)
−0.883395 + 0.468629i \(0.844748\pi\)
\(762\) 1.20227 + 11.5343i 0.0435535 + 0.417842i
\(763\) −16.6647 3.94960i −0.603302 0.142985i
\(764\) −16.2619 + 9.39619i −0.588334 + 0.339942i
\(765\) −16.0906 2.29523i −0.581758 0.0829842i
\(766\) −6.88388 + 25.7085i −0.248725 + 0.928886i
\(767\) 1.75704 30.1672i 0.0634430 1.08927i
\(768\) 3.70629 + 27.4639i 0.133739 + 0.991017i
\(769\) 14.6394 19.6642i 0.527912 0.709109i −0.455553 0.890209i \(-0.650558\pi\)
0.983465 + 0.181100i \(0.0579658\pi\)
\(770\) −1.52331 + 0.821695i −0.0548962 + 0.0296118i
\(771\) −0.692123 + 16.5661i −0.0249262 + 0.596614i
\(772\) −20.5430 + 15.3046i −0.739359 + 0.550824i
\(773\)