Properties

Label 400.2.be.a.21.51
Level $400$
Weight $2$
Character 400.21
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.be (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 21.51
Character \(\chi\) \(=\) 400.21
Dual form 400.2.be.a.381.51

$q$-expansion

\(f(q)\) \(=\) \(q+(1.31042 + 0.531786i) q^{2} +(1.11563 - 0.176699i) q^{3} +(1.43441 + 1.39373i) q^{4} +(-2.17773 + 0.507439i) q^{5} +(1.55591 + 0.361728i) q^{6} +4.59337i q^{7} +(1.13851 + 2.58917i) q^{8} +(-1.63976 + 0.532790i) q^{9} +O(q^{10})\) \(q+(1.31042 + 0.531786i) q^{2} +(1.11563 - 0.176699i) q^{3} +(1.43441 + 1.39373i) q^{4} +(-2.17773 + 0.507439i) q^{5} +(1.55591 + 0.361728i) q^{6} +4.59337i q^{7} +(1.13851 + 2.58917i) q^{8} +(-1.63976 + 0.532790i) q^{9} +(-3.12359 - 0.493127i) q^{10} +(5.03525 - 2.56559i) q^{11} +(1.84654 + 1.30143i) q^{12} +(-3.07508 - 1.56683i) q^{13} +(-2.44269 + 6.01926i) q^{14} +(-2.33988 + 0.950917i) q^{15} +(0.115048 + 3.99835i) q^{16} +(0.981966 - 0.713440i) q^{17} +(-2.43210 - 0.173822i) q^{18} +(1.06190 - 6.70459i) q^{19} +(-3.83098 - 2.30729i) q^{20} +(0.811643 + 5.12451i) q^{21} +(7.96264 - 0.684325i) q^{22} +(1.41375 + 0.459354i) q^{23} +(1.72766 + 2.68738i) q^{24} +(4.48501 - 2.21013i) q^{25} +(-3.19643 - 3.68849i) q^{26} +(-4.75450 + 2.42254i) q^{27} +(-6.40191 + 6.58877i) q^{28} +(6.83601 - 1.08272i) q^{29} +(-3.57191 + 0.00178616i) q^{30} +(1.40171 - 1.01840i) q^{31} +(-1.97550 + 5.30070i) q^{32} +(5.16415 - 3.75197i) q^{33} +(1.66619 - 0.412711i) q^{34} +(-2.33086 - 10.0031i) q^{35} +(-3.09464 - 1.52114i) q^{36} +(2.06313 - 4.04911i) q^{37} +(4.95695 - 8.22114i) q^{38} +(-3.70751 - 1.20464i) q^{39} +(-3.79322 - 5.06078i) q^{40} +(1.56322 - 0.507919i) q^{41} +(-1.66155 + 7.14689i) q^{42} +(1.39763 + 1.39763i) q^{43} +(10.7983 + 3.33767i) q^{44} +(3.30059 - 1.99235i) q^{45} +(1.60832 + 1.35376i) q^{46} +(-6.49783 - 4.72095i) q^{47} +(0.834853 + 4.44035i) q^{48} -14.0991 q^{49} +(7.05257 - 0.511135i) q^{50} +(0.969449 - 0.969449i) q^{51} +(-2.22718 - 6.53329i) q^{52} +(0.580891 + 3.66760i) q^{53} +(-7.51867 + 0.646169i) q^{54} +(-9.66353 + 8.14224i) q^{55} +(-11.8930 + 5.22961i) q^{56} -7.66749i q^{57} +(9.53383 + 2.21648i) q^{58} +(-6.12515 + 12.0213i) q^{59} +(-4.68166 - 1.89715i) q^{60} +(-0.782928 - 1.53658i) q^{61} +(2.37840 - 0.589125i) q^{62} +(-2.44730 - 7.53202i) q^{63} +(-5.40758 + 5.89560i) q^{64} +(7.49176 + 1.85172i) q^{65} +(8.76245 - 2.17044i) q^{66} +(0.287696 - 1.81644i) q^{67} +(2.40288 + 0.345230i) q^{68} +(1.65839 + 0.262663i) q^{69} +(2.26512 - 14.3478i) q^{70} +(2.40796 - 3.31427i) q^{71} +(-3.24637 - 3.63902i) q^{72} +(-8.13655 - 2.64373i) q^{73} +(4.85682 - 4.20890i) q^{74} +(4.61309 - 3.25819i) q^{75} +(10.8676 - 8.13711i) q^{76} +(11.7847 + 23.1288i) q^{77} +(-4.21779 - 3.55019i) q^{78} +(-9.12238 - 6.62780i) q^{79} +(-2.27946 - 8.64893i) q^{80} +(-0.691625 + 0.502495i) q^{81} +(2.31857 + 0.165708i) q^{82} +(-0.505003 + 3.18846i) q^{83} +(-5.97795 + 8.48185i) q^{84} +(-1.77643 + 2.05197i) q^{85} +(1.08824 + 2.57472i) q^{86} +(7.43515 - 2.41583i) q^{87} +(12.3754 + 10.1162i) q^{88} +(4.23039 + 1.37454i) q^{89} +(5.38467 - 0.855608i) q^{90} +(7.19704 - 14.1250i) q^{91} +(1.38767 + 2.62928i) q^{92} +(1.38384 - 1.38384i) q^{93} +(-6.00436 - 9.64189i) q^{94} +(1.08963 + 15.1396i) q^{95} +(-1.26731 + 6.26269i) q^{96} +(3.31506 + 2.40853i) q^{97} +(-18.4757 - 7.49770i) q^{98} +(-6.88967 + 6.88967i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 6q^{2} - 6q^{3} - 6q^{4} - 8q^{5} - 6q^{6} + 12q^{8} + O(q^{10}) \) \( 464q - 6q^{2} - 6q^{3} - 6q^{4} - 8q^{5} - 6q^{6} + 12q^{8} - 14q^{10} - 6q^{11} + 10q^{12} - 6q^{13} + 6q^{14} - 16q^{15} - 6q^{16} - 12q^{17} - 24q^{18} - 6q^{19} - 22q^{20} + 12q^{21} + 10q^{22} - 16q^{24} + 4q^{26} - 18q^{27} + 18q^{28} - 6q^{29} - 6q^{30} + 12q^{31} - 36q^{32} - 12q^{33} - 30q^{34} + 44q^{35} - 82q^{36} - 6q^{37} - 76q^{38} - 52q^{40} - 10q^{42} - 48q^{43} + 36q^{44} - 12q^{45} - 14q^{46} - 12q^{47} - 116q^{48} - 400q^{49} + 10q^{50} - 4q^{51} + 32q^{52} - 6q^{53} - 30q^{54} + 36q^{56} + 26q^{58} - 6q^{59} + 48q^{60} - 6q^{61} - 34q^{62} + 72q^{63} - 24q^{64} + 16q^{65} + 92q^{66} + 30q^{67} + 28q^{68} - 18q^{69} + 60q^{70} + 22q^{72} + 28q^{74} - 26q^{75} - 76q^{76} + 36q^{77} + 14q^{78} - 52q^{79} - 34q^{80} + 72q^{81} + 56q^{82} - 46q^{83} + 112q^{84} + 2q^{85} - 46q^{86} - 136q^{88} - 42q^{90} + 36q^{91} - 4q^{93} + 50q^{94} - 40q^{95} - 66q^{96} - 12q^{97} - 8q^{98} - 40q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{3}{5}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.31042 + 0.531786i 0.926608 + 0.376030i
\(3\) 1.11563 0.176699i 0.644110 0.102017i 0.174170 0.984716i \(-0.444276\pi\)
0.469940 + 0.882699i \(0.344276\pi\)
\(4\) 1.43441 + 1.39373i 0.717204 + 0.696864i
\(5\) −2.17773 + 0.507439i −0.973910 + 0.226934i
\(6\) 1.55591 + 0.361728i 0.635199 + 0.147675i
\(7\) 4.59337i 1.73613i 0.496448 + 0.868066i \(0.334637\pi\)
−0.496448 + 0.868066i \(0.665363\pi\)
\(8\) 1.13851 + 2.58917i 0.402525 + 0.915409i
\(9\) −1.63976 + 0.532790i −0.546586 + 0.177597i
\(10\) −3.12359 0.493127i −0.987766 0.155941i
\(11\) 5.03525 2.56559i 1.51818 0.773554i 0.521372 0.853330i \(-0.325420\pi\)
0.996813 + 0.0797758i \(0.0254205\pi\)
\(12\) 1.84654 + 1.30143i 0.533050 + 0.375690i
\(13\) −3.07508 1.56683i −0.852873 0.434561i −0.0278181 0.999613i \(-0.508856\pi\)
−0.825055 + 0.565052i \(0.808856\pi\)
\(14\) −2.44269 + 6.01926i −0.652837 + 1.60871i
\(15\) −2.33988 + 0.950917i −0.604154 + 0.245526i
\(16\) 0.115048 + 3.99835i 0.0287619 + 0.999586i
\(17\) 0.981966 0.713440i 0.238162 0.173035i −0.462302 0.886722i \(-0.652976\pi\)
0.700464 + 0.713688i \(0.252976\pi\)
\(18\) −2.43210 0.173822i −0.573252 0.0409702i
\(19\) 1.06190 6.70459i 0.243617 1.53814i −0.497917 0.867225i \(-0.665902\pi\)
0.741535 0.670915i \(-0.234098\pi\)
\(20\) −3.83098 2.30729i −0.856634 0.515925i
\(21\) 0.811643 + 5.12451i 0.177115 + 1.11826i
\(22\) 7.96264 0.684325i 1.69764 0.145899i
\(23\) 1.41375 + 0.459354i 0.294786 + 0.0957819i 0.452677 0.891675i \(-0.350469\pi\)
−0.157890 + 0.987457i \(0.550469\pi\)
\(24\) 1.72766 + 2.68738i 0.352658 + 0.548560i
\(25\) 4.48501 2.21013i 0.897002 0.442026i
\(26\) −3.19643 3.68849i −0.626871 0.723373i
\(27\) −4.75450 + 2.42254i −0.915004 + 0.466218i
\(28\) −6.40191 + 6.58877i −1.20985 + 1.24516i
\(29\) 6.83601 1.08272i 1.26942 0.201056i 0.514850 0.857280i \(-0.327848\pi\)
0.754566 + 0.656225i \(0.227848\pi\)
\(30\) −3.57191 + 0.00178616i −0.652139 + 0.000326107i
\(31\) 1.40171 1.01840i 0.251754 0.182910i −0.454750 0.890619i \(-0.650271\pi\)
0.706504 + 0.707709i \(0.250271\pi\)
\(32\) −1.97550 + 5.30070i −0.349223 + 0.937040i
\(33\) 5.16415 3.75197i 0.898962 0.653134i
\(34\) 1.66619 0.412711i 0.285749 0.0707794i
\(35\) −2.33086 10.0031i −0.393987 1.69084i
\(36\) −3.09464 1.52114i −0.515774 0.253523i
\(37\) 2.06313 4.04911i 0.339176 0.665670i −0.656919 0.753961i \(-0.728141\pi\)
0.996095 + 0.0882914i \(0.0281407\pi\)
\(38\) 4.95695 8.22114i 0.804123 1.33364i
\(39\) −3.70751 1.20464i −0.593677 0.192897i
\(40\) −3.79322 5.06078i −0.599760 0.800180i
\(41\) 1.56322 0.507919i 0.244133 0.0793237i −0.184395 0.982852i \(-0.559032\pi\)
0.428528 + 0.903529i \(0.359032\pi\)
\(42\) −1.66155 + 7.14689i −0.256383 + 1.10279i
\(43\) 1.39763 + 1.39763i 0.213137 + 0.213137i 0.805598 0.592462i \(-0.201844\pi\)
−0.592462 + 0.805598i \(0.701844\pi\)
\(44\) 10.7983 + 3.33767i 1.62791 + 0.503172i
\(45\) 3.30059 1.99235i 0.492023 0.297002i
\(46\) 1.60832 + 1.35376i 0.237134 + 0.199601i
\(47\) −6.49783 4.72095i −0.947806 0.688621i 0.00248086 0.999997i \(-0.499210\pi\)
−0.950287 + 0.311375i \(0.899210\pi\)
\(48\) 0.834853 + 4.44035i 0.120501 + 0.640909i
\(49\) −14.0991 −2.01416
\(50\) 7.05257 0.511135i 0.997384 0.0722854i
\(51\) 0.969449 0.969449i 0.135750 0.135750i
\(52\) −2.22718 6.53329i −0.308854 0.906005i
\(53\) 0.580891 + 3.66760i 0.0797915 + 0.503784i 0.994924 + 0.100630i \(0.0320859\pi\)
−0.915132 + 0.403153i \(0.867914\pi\)
\(54\) −7.51867 + 0.646169i −1.02316 + 0.0879325i
\(55\) −9.66353 + 8.14224i −1.30303 + 1.09790i
\(56\) −11.8930 + 5.22961i −1.58927 + 0.698837i
\(57\) 7.66749i 1.01558i
\(58\) 9.53383 + 2.21648i 1.25185 + 0.291038i
\(59\) −6.12515 + 12.0213i −0.797427 + 1.56504i 0.0273809 + 0.999625i \(0.491283\pi\)
−0.824808 + 0.565413i \(0.808717\pi\)
\(60\) −4.68166 1.89715i −0.604400 0.244921i
\(61\) −0.782928 1.53658i −0.100244 0.196739i 0.835438 0.549585i \(-0.185214\pi\)
−0.935682 + 0.352846i \(0.885214\pi\)
\(62\) 2.37840 0.589125i 0.302057 0.0748189i
\(63\) −2.44730 7.53202i −0.308331 0.948946i
\(64\) −5.40758 + 5.89560i −0.675947 + 0.736950i
\(65\) 7.49176 + 1.85172i 0.929238 + 0.229677i
\(66\) 8.76245 2.17044i 1.07858 0.267163i
\(67\) 0.287696 1.81644i 0.0351477 0.221914i −0.963862 0.266401i \(-0.914165\pi\)
0.999010 + 0.0444873i \(0.0141654\pi\)
\(68\) 2.40288 + 0.345230i 0.291392 + 0.0418652i
\(69\) 1.65839 + 0.262663i 0.199646 + 0.0316209i
\(70\) 2.26512 14.3478i 0.270733 1.71489i
\(71\) 2.40796 3.31427i 0.285772 0.393332i −0.641863 0.766819i \(-0.721838\pi\)
0.927635 + 0.373488i \(0.121838\pi\)
\(72\) −3.24637 3.63902i −0.382588 0.428863i
\(73\) −8.13655 2.64373i −0.952312 0.309425i −0.208657 0.977989i \(-0.566909\pi\)
−0.743655 + 0.668564i \(0.766909\pi\)
\(74\) 4.85682 4.20890i 0.564594 0.489275i
\(75\) 4.61309 3.25819i 0.532674 0.376223i
\(76\) 10.8676 8.13711i 1.24660 0.933391i
\(77\) 11.7847 + 23.1288i 1.34299 + 2.63577i
\(78\) −4.21779 3.55019i −0.477570 0.401980i
\(79\) −9.12238 6.62780i −1.02635 0.745685i −0.0587734 0.998271i \(-0.518719\pi\)
−0.967574 + 0.252586i \(0.918719\pi\)
\(80\) −2.27946 8.64893i −0.254851 0.966980i
\(81\) −0.691625 + 0.502495i −0.0768472 + 0.0558328i
\(82\) 2.31857 + 0.165708i 0.256044 + 0.0182994i
\(83\) −0.505003 + 3.18846i −0.0554313 + 0.349979i 0.944348 + 0.328949i \(0.106695\pi\)
−0.999779 + 0.0210299i \(0.993305\pi\)
\(84\) −5.97795 + 8.48185i −0.652248 + 0.925446i
\(85\) −1.77643 + 2.05197i −0.192681 + 0.222567i
\(86\) 1.08824 + 2.57472i 0.117348 + 0.277640i
\(87\) 7.43515 2.41583i 0.797132 0.259004i
\(88\) 12.3754 + 10.1162i 1.31923 + 1.07839i
\(89\) 4.23039 + 1.37454i 0.448421 + 0.145701i 0.524517 0.851400i \(-0.324246\pi\)
−0.0760967 + 0.997100i \(0.524246\pi\)
\(90\) 5.38467 0.855608i 0.567594 0.0901890i
\(91\) 7.19704 14.1250i 0.754455 1.48070i
\(92\) 1.38767 + 2.62928i 0.144675 + 0.274121i
\(93\) 1.38384 1.38384i 0.143498 0.143498i
\(94\) −6.00436 9.64189i −0.619302 0.994485i
\(95\) 1.08963 + 15.1396i 0.111794 + 1.55329i
\(96\) −1.26731 + 6.26269i −0.129344 + 0.639183i
\(97\) 3.31506 + 2.40853i 0.336593 + 0.244549i 0.743223 0.669044i \(-0.233296\pi\)
−0.406630 + 0.913593i \(0.633296\pi\)
\(98\) −18.4757 7.49770i −1.86633 0.757382i
\(99\) −6.88967 + 6.88967i −0.692438 + 0.692438i
\(100\) 9.51365 + 3.08066i 0.951365 + 0.308066i
\(101\) 3.20647 + 3.20647i 0.319055 + 0.319055i 0.848404 0.529349i \(-0.177564\pi\)
−0.529349 + 0.848404i \(0.677564\pi\)
\(102\) 1.78593 0.754847i 0.176833 0.0747410i
\(103\) −0.801640 + 1.10336i −0.0789879 + 0.108718i −0.846683 0.532098i \(-0.821404\pi\)
0.767695 + 0.640816i \(0.221404\pi\)
\(104\) 0.555772 9.74575i 0.0544979 0.955649i
\(105\) −4.36792 10.7479i −0.426265 1.04889i
\(106\) −1.18917 + 5.11501i −0.115502 + 0.496814i
\(107\) −10.4805 10.4805i −1.01319 1.01319i −0.999912 0.0132739i \(-0.995775\pi\)
−0.0132739 0.999912i \(-0.504225\pi\)
\(108\) −10.1962 3.15157i −0.981134 0.303260i
\(109\) −7.62146 3.88333i −0.730004 0.371955i 0.0491475 0.998792i \(-0.484350\pi\)
−0.779151 + 0.626836i \(0.784350\pi\)
\(110\) −16.9932 + 5.53083i −1.62024 + 0.527344i
\(111\) 1.58621 4.88187i 0.150557 0.463366i
\(112\) −18.3659 + 0.528457i −1.73541 + 0.0499345i
\(113\) 4.24003 + 13.0495i 0.398868 + 1.22759i 0.925908 + 0.377749i \(0.123302\pi\)
−0.527040 + 0.849840i \(0.676698\pi\)
\(114\) 4.07747 10.0476i 0.381890 0.941048i
\(115\) −3.31185 0.282959i −0.308832 0.0263860i
\(116\) 11.3146 + 7.97448i 1.05054 + 0.740412i
\(117\) 5.87718 + 0.930853i 0.543345 + 0.0860574i
\(118\) −14.4193 + 12.4957i −1.32740 + 1.15032i
\(119\) 3.27710 + 4.51054i 0.300411 + 0.413480i
\(120\) −5.12607 4.97571i −0.467944 0.454218i
\(121\) 12.3059 16.9376i 1.11871 1.53978i
\(122\) −0.208832 2.42992i −0.0189068 0.219995i
\(123\) 1.65422 0.842869i 0.149156 0.0759989i
\(124\) 3.42999 + 0.492798i 0.308022 + 0.0442546i
\(125\) −8.64563 + 7.08894i −0.773289 + 0.634054i
\(126\) 0.798428 11.1716i 0.0711296 0.995242i
\(127\) −0.845418 + 2.60193i −0.0750187 + 0.230884i −0.981534 0.191290i \(-0.938733\pi\)
0.906515 + 0.422174i \(0.138733\pi\)
\(128\) −10.2214 + 4.85004i −0.903453 + 0.428687i
\(129\) 1.80620 + 1.31228i 0.159027 + 0.115540i
\(130\) 8.83264 + 6.41054i 0.774674 + 0.562242i
\(131\) 2.99314 18.8979i 0.261512 1.65112i −0.411442 0.911436i \(-0.634975\pi\)
0.672954 0.739685i \(-0.265025\pi\)
\(132\) 12.6367 + 1.81556i 1.09988 + 0.158024i
\(133\) 30.7967 + 4.87772i 2.67041 + 0.422952i
\(134\) 1.34296 2.22731i 0.116014 0.192410i
\(135\) 9.12472 7.68825i 0.785331 0.661699i
\(136\) 2.96520 + 1.73021i 0.254264 + 0.148365i
\(137\) −7.85978 + 2.55380i −0.671507 + 0.218186i −0.624873 0.780726i \(-0.714849\pi\)
−0.0466336 + 0.998912i \(0.514849\pi\)
\(138\) 2.03350 + 1.22611i 0.173103 + 0.104373i
\(139\) 8.20111 4.17867i 0.695609 0.354430i −0.0701693 0.997535i \(-0.522354\pi\)
0.765778 + 0.643105i \(0.222354\pi\)
\(140\) 10.5982 17.5971i 0.895714 1.48723i
\(141\) −8.08337 4.11868i −0.680743 0.346856i
\(142\) 4.91793 3.06257i 0.412703 0.257005i
\(143\) −19.5036 −1.63097
\(144\) −2.31893 6.49502i −0.193244 0.541252i
\(145\) −14.3376 + 5.82673i −1.19067 + 0.483883i
\(146\) −9.25642 7.79130i −0.766066 0.644813i
\(147\) −15.7294 + 2.49129i −1.29734 + 0.205478i
\(148\) 8.60272 2.93264i 0.707139 0.241062i
\(149\) 2.65506 + 2.65506i 0.217511 + 0.217511i 0.807449 0.589938i \(-0.200848\pi\)
−0.589938 + 0.807449i \(0.700848\pi\)
\(150\) 7.77775 1.81642i 0.635051 0.148310i
\(151\) 2.12369i 0.172823i 0.996260 + 0.0864116i \(0.0275400\pi\)
−0.996260 + 0.0864116i \(0.972460\pi\)
\(152\) 18.5683 4.88382i 1.50609 0.396130i
\(153\) −1.23007 + 1.69305i −0.0994456 + 0.136875i
\(154\) 3.14336 + 36.5754i 0.253299 + 2.94733i
\(155\) −2.53577 + 2.92908i −0.203678 + 0.235270i
\(156\) −3.63914 6.89521i −0.291364 0.552058i
\(157\) 6.45088 6.45088i 0.514837 0.514837i −0.401168 0.916005i \(-0.631396\pi\)
0.916005 + 0.401168i \(0.131396\pi\)
\(158\) −8.42959 13.5364i −0.670622 1.07689i
\(159\) 1.29612 + 3.98905i 0.102789 + 0.316352i
\(160\) 1.61233 12.5459i 0.127466 0.991843i
\(161\) −2.10998 + 6.49386i −0.166290 + 0.511788i
\(162\) −1.17354 + 0.290683i −0.0922020 + 0.0228382i
\(163\) 13.0625 + 6.65568i 1.02313 + 0.521313i 0.883273 0.468858i \(-0.155335\pi\)
0.139861 + 0.990171i \(0.455335\pi\)
\(164\) 2.95019 + 1.45013i 0.230371 + 0.113236i
\(165\) −9.34222 + 10.7913i −0.727291 + 0.840099i
\(166\) −2.35735 + 3.90968i −0.182966 + 0.303450i
\(167\) −0.799638 1.10061i −0.0618779 0.0851676i 0.776957 0.629554i \(-0.216762\pi\)
−0.838834 + 0.544387i \(0.816762\pi\)
\(168\) −12.3442 + 7.93580i −0.952373 + 0.612261i
\(169\) −0.640062 0.880970i −0.0492355 0.0677669i
\(170\) −3.41908 + 1.74426i −0.262231 + 0.133779i
\(171\) 1.83087 + 11.5597i 0.140010 + 0.883991i
\(172\) 0.0568552 + 3.95269i 0.00433516 + 0.301390i
\(173\) 9.89103 + 19.4122i 0.752001 + 1.47589i 0.875333 + 0.483520i \(0.160642\pi\)
−0.123332 + 0.992365i \(0.539358\pi\)
\(174\) 11.0279 + 0.788159i 0.836022 + 0.0597502i
\(175\) 10.1520 + 20.6013i 0.767416 + 1.55731i
\(176\) 10.8374 + 19.8375i 0.816900 + 1.49531i
\(177\) −4.70927 + 14.4936i −0.353970 + 1.08941i
\(178\) 4.81264 + 4.05089i 0.360722 + 0.303627i
\(179\) −7.50302 + 1.18836i −0.560802 + 0.0888224i −0.430399 0.902639i \(-0.641627\pi\)
−0.130403 + 0.991461i \(0.541627\pi\)
\(180\) 7.51118 + 1.74228i 0.559851 + 0.129862i
\(181\) −16.3740 2.59339i −1.21707 0.192765i −0.485319 0.874337i \(-0.661297\pi\)
−0.731751 + 0.681572i \(0.761297\pi\)
\(182\) 16.9426 14.6824i 1.25587 1.08833i
\(183\) −1.14497 1.57592i −0.0846387 0.116495i
\(184\) 0.420223 + 4.18340i 0.0309793 + 0.308405i
\(185\) −2.43825 + 9.86478i −0.179264 + 0.725273i
\(186\) 2.54932 1.07751i 0.186925 0.0790066i
\(187\) 3.11405 6.11167i 0.227722 0.446930i
\(188\) −2.74082 15.8280i −0.199895 1.15437i
\(189\) −11.1276 21.8392i −0.809416 1.58857i
\(190\) −6.62317 + 20.4188i −0.480495 + 1.48133i
\(191\) −5.14159 15.8242i −0.372033 1.14500i −0.945459 0.325741i \(-0.894386\pi\)
0.573426 0.819257i \(-0.305614\pi\)
\(192\) −4.99112 + 7.53283i −0.360203 + 0.543635i
\(193\) 10.7726 0.775428 0.387714 0.921780i \(-0.373265\pi\)
0.387714 + 0.921780i \(0.373265\pi\)
\(194\) 3.06330 + 4.91909i 0.219932 + 0.353170i
\(195\) 8.68524 + 0.742051i 0.621963 + 0.0531394i
\(196\) −20.2238 19.6503i −1.44456 1.40359i
\(197\) 0.357446 + 2.25683i 0.0254670 + 0.160792i 0.997144 0.0755192i \(-0.0240614\pi\)
−0.971677 + 0.236312i \(0.924061\pi\)
\(198\) −12.6922 + 5.36454i −0.901996 + 0.381241i
\(199\) 4.42641i 0.313780i 0.987616 + 0.156890i \(0.0501468\pi\)
−0.987616 + 0.156890i \(0.949853\pi\)
\(200\) 10.8286 + 9.09618i 0.765700 + 0.643197i
\(201\) 2.07732i 0.146523i
\(202\) 2.49667 + 5.90698i 0.175665 + 0.415614i
\(203\) 4.97333 + 31.4004i 0.349059 + 2.20387i
\(204\) 2.74173 0.0394369i 0.191960 0.00276113i
\(205\) −3.14652 + 1.89935i −0.219763 + 0.132656i
\(206\) −1.63724 + 1.01957i −0.114072 + 0.0710367i
\(207\) −2.56294 −0.178137
\(208\) 5.91095 12.4755i 0.409851 0.865019i
\(209\) −11.8543 36.4837i −0.819977 2.52363i
\(210\) −0.00820452 16.4071i −0.000566166 1.13220i
\(211\) −0.0937456 0.183986i −0.00645372 0.0126661i 0.887757 0.460312i \(-0.152262\pi\)
−0.894211 + 0.447646i \(0.852262\pi\)
\(212\) −4.27840 + 6.07044i −0.293842 + 0.416919i
\(213\) 2.10077 4.12299i 0.143942 0.282503i
\(214\) −8.16047 19.3072i −0.557838 1.31981i
\(215\) −3.75287 2.33445i −0.255944 0.159208i
\(216\) −11.6854 9.55211i −0.795092 0.649939i
\(217\) 4.67790 + 6.43857i 0.317556 + 0.437079i
\(218\) −7.92222 9.14178i −0.536561 0.619160i
\(219\) −9.54454 1.51171i −0.644960 0.102152i
\(220\) −25.2095 1.78904i −1.69962 0.120617i
\(221\) −4.13746 + 0.655310i −0.278316 + 0.0440809i
\(222\) 4.67472 5.55378i 0.313747 0.372745i
\(223\) −1.19353 + 3.67330i −0.0799245 + 0.245982i −0.983033 0.183431i \(-0.941280\pi\)
0.903108 + 0.429413i \(0.141280\pi\)
\(224\) −24.3481 9.07423i −1.62683 0.606297i
\(225\) −6.17680 + 6.01365i −0.411787 + 0.400910i
\(226\) −1.38330 + 19.3551i −0.0920158 + 1.28748i
\(227\) 9.04448 + 17.7508i 0.600303 + 1.17816i 0.968640 + 0.248468i \(0.0799272\pi\)
−0.368337 + 0.929692i \(0.620073\pi\)
\(228\) 10.6864 10.9983i 0.707724 0.728381i
\(229\) −4.40261 27.7970i −0.290933 1.83688i −0.508782 0.860895i \(-0.669904\pi\)
0.217849 0.975982i \(-0.430096\pi\)
\(230\) −4.18944 2.13199i −0.276244 0.140579i
\(231\) 17.2342 + 23.7209i 1.13393 + 1.56072i
\(232\) 10.5862 + 16.4669i 0.695020 + 1.08110i
\(233\) −4.63428 6.37854i −0.303602 0.417872i 0.629771 0.776781i \(-0.283149\pi\)
−0.933373 + 0.358909i \(0.883149\pi\)
\(234\) 7.20656 + 4.34521i 0.471108 + 0.284055i
\(235\) 16.5461 + 6.98370i 1.07935 + 0.455566i
\(236\) −25.5404 + 8.70663i −1.66254 + 0.566753i
\(237\) −11.3483 5.78227i −0.737154 0.375599i
\(238\) 1.89574 + 7.65342i 0.122882 + 0.496098i
\(239\) −7.20617 + 22.1783i −0.466128 + 1.43460i 0.391430 + 0.920208i \(0.371981\pi\)
−0.857558 + 0.514387i \(0.828019\pi\)
\(240\) −4.07129 9.24625i −0.262801 0.596843i
\(241\) 3.87064 + 11.9126i 0.249330 + 0.767358i 0.994894 + 0.100924i \(0.0321800\pi\)
−0.745564 + 0.666434i \(0.767820\pi\)
\(242\) 25.1330 15.6512i 1.61561 1.00610i
\(243\) 10.6368 10.6368i 0.682349 0.682349i
\(244\) 1.01854 3.29527i 0.0652053 0.210958i
\(245\) 30.7040 7.15443i 1.96161 0.457080i
\(246\) 2.61596 0.224820i 0.166787 0.0143340i
\(247\) −13.7704 + 18.9533i −0.876189 + 1.20597i
\(248\) 4.23267 + 2.46980i 0.268775 + 0.156832i
\(249\) 3.64638i 0.231080i
\(250\) −15.0992 + 4.69186i −0.954958 + 0.296739i
\(251\) 11.7462 + 11.7462i 0.741411 + 0.741411i 0.972850 0.231439i \(-0.0743432\pi\)
−0.231439 + 0.972850i \(0.574343\pi\)
\(252\) 6.98716 14.2149i 0.440150 0.895452i
\(253\) 8.29707 1.31413i 0.521633 0.0826185i
\(254\) −2.49152 + 2.96004i −0.156332 + 0.185729i
\(255\) −1.61926 + 2.60313i −0.101402 + 0.163014i
\(256\) −15.9735 + 0.920000i −0.998346 + 0.0575000i
\(257\) −8.75293 −0.545993 −0.272996 0.962015i \(-0.588015\pi\)
−0.272996 + 0.962015i \(0.588015\pi\)
\(258\) 1.66903 + 2.68015i 0.103909 + 0.166859i
\(259\) 18.5991 + 9.47671i 1.15569 + 0.588854i
\(260\) 8.16544 + 13.0976i 0.506399 + 0.812278i
\(261\) −10.6325 + 5.41755i −0.658138 + 0.335338i
\(262\) 13.9719 23.1725i 0.863189 1.43160i
\(263\) −12.8025 + 4.15978i −0.789434 + 0.256503i −0.675863 0.737027i \(-0.736229\pi\)
−0.113571 + 0.993530i \(0.536229\pi\)
\(264\) 15.5939 + 9.09917i 0.959740 + 0.560015i
\(265\) −3.12611 7.69227i −0.192035 0.472533i
\(266\) 37.7628 + 22.7691i 2.31538 + 1.39606i
\(267\) 4.96244 + 0.785973i 0.303696 + 0.0481008i
\(268\) 2.94430 2.20455i 0.179852 0.134664i
\(269\) −1.67976 + 10.6056i −0.102417 + 0.646635i 0.882062 + 0.471133i \(0.156155\pi\)
−0.984479 + 0.175502i \(0.943845\pi\)
\(270\) 16.0457 5.22245i 0.976512 0.317828i
\(271\) −23.2370 16.8827i −1.41155 1.02555i −0.993095 0.117313i \(-0.962572\pi\)
−0.418454 0.908238i \(-0.637428\pi\)
\(272\) 2.96555 + 3.84416i 0.179813 + 0.233086i
\(273\) 5.53338 17.0300i 0.334895 1.03070i
\(274\) −11.6577 0.833172i −0.704268 0.0503338i
\(275\) 16.9129 22.6352i 1.01988 1.36496i
\(276\) 2.01272 + 2.68810i 0.121152 + 0.161805i
\(277\) −11.1668 + 5.68976i −0.670947 + 0.341865i −0.756056 0.654507i \(-0.772876\pi\)
0.0851087 + 0.996372i \(0.472876\pi\)
\(278\) 12.9691 1.11459i 0.777833 0.0668485i
\(279\) −1.75587 + 2.41675i −0.105121 + 0.144687i
\(280\) 23.2461 17.4237i 1.38922 1.04126i
\(281\) 13.4969 + 18.5769i 0.805157 + 1.10820i 0.992053 + 0.125824i \(0.0401575\pi\)
−0.186895 + 0.982380i \(0.559842\pi\)
\(282\) −8.40236 9.69583i −0.500353 0.577378i
\(283\) −27.7370 4.39310i −1.64879 0.261143i −0.738240 0.674539i \(-0.764343\pi\)
−0.910551 + 0.413396i \(0.864343\pi\)
\(284\) 8.07319 1.39798i 0.479056 0.0829546i
\(285\) 3.89079 + 16.6977i 0.230470 + 0.989088i
\(286\) −25.5580 10.3718i −1.51127 0.613295i
\(287\) 2.33306 + 7.18043i 0.137716 + 0.423848i
\(288\) 0.415191 9.74439i 0.0244654 0.574194i
\(289\) −4.79803 + 14.7668i −0.282237 + 0.868636i
\(290\) −21.8868 + 0.0109447i −1.28524 + 0.000642694i
\(291\) 4.12397 + 2.10127i 0.241751 + 0.123178i
\(292\) −7.98650 15.1323i −0.467374 0.885552i
\(293\) 16.6210 + 16.6210i 0.971009 + 0.971009i 0.999591 0.0285825i \(-0.00909933\pi\)
−0.0285825 + 0.999591i \(0.509099\pi\)
\(294\) −21.9370 5.10003i −1.27939 0.297440i
\(295\) 7.23885 29.2873i 0.421462 1.70517i
\(296\) 12.8327 + 0.731813i 0.745887 + 0.0425358i
\(297\) −17.7249 + 24.3962i −1.02850 + 1.41561i
\(298\) 2.06732 + 4.89116i 0.119757 + 0.283338i
\(299\) −3.62765 3.62765i −0.209792 0.209792i
\(300\) 11.1581 + 1.75583i 0.644212 + 0.101373i
\(301\) −6.41984 + 6.41984i −0.370033 + 0.370033i
\(302\) −1.12935 + 2.78292i −0.0649866 + 0.160139i
\(303\) 4.14381 + 3.01066i 0.238056 + 0.172958i
\(304\) 26.9294 + 3.47451i 1.54451 + 0.199277i
\(305\) 2.48473 + 2.94897i 0.142275 + 0.168858i
\(306\) −2.51226 + 1.56447i −0.143616 + 0.0894350i
\(307\) 21.1597 21.1597i 1.20765 1.20765i 0.235860 0.971787i \(-0.424209\pi\)
0.971787 0.235860i \(-0.0757905\pi\)
\(308\) −15.3312 + 49.6008i −0.873574 + 2.82627i
\(309\) −0.699372 + 1.37259i −0.0397859 + 0.0780842i
\(310\) −4.88057 + 2.48985i −0.277198 + 0.141414i
\(311\) −0.893948 0.290461i −0.0506911 0.0164705i 0.283562 0.958954i \(-0.408484\pi\)
−0.334253 + 0.942483i \(0.608484\pi\)
\(312\) −1.10202 10.9709i −0.0623898 0.621103i
\(313\) −1.52495 + 0.495486i −0.0861953 + 0.0280065i −0.351797 0.936076i \(-0.614429\pi\)
0.265602 + 0.964083i \(0.414429\pi\)
\(314\) 11.8839 5.02288i 0.670645 0.283458i
\(315\) 9.15161 + 15.1609i 0.515635 + 0.854217i
\(316\) −3.84786 22.2211i −0.216459 1.25003i
\(317\) 4.59779 29.0293i 0.258238 1.63045i −0.428499 0.903542i \(-0.640958\pi\)
0.686737 0.726906i \(-0.259042\pi\)
\(318\) −0.422857 + 5.91659i −0.0237126 + 0.331786i
\(319\) 31.6432 22.9901i 1.77168 1.28720i
\(320\) 8.78458 15.5830i 0.491073 0.871118i
\(321\) −13.5442 9.84046i −0.755965 0.549241i
\(322\) −6.21831 + 7.38764i −0.346533 + 0.411697i
\(323\) −3.74057 7.34129i −0.208131 0.408480i
\(324\) −1.69241 0.243154i −0.0940229 0.0135086i
\(325\) −17.2547 0.230930i −0.957116 0.0128097i
\(326\) 13.5780 + 15.6682i 0.752015 + 0.867781i
\(327\) −9.18892 2.98566i −0.508149 0.165107i
\(328\) 3.09483 + 3.46915i 0.170883 + 0.191552i
\(329\) 21.6851 29.8470i 1.19554 1.64552i
\(330\) −17.9809 + 9.17305i −0.989815 + 0.504960i
\(331\) −16.0495 2.54199i −0.882161 0.139721i −0.301112 0.953589i \(-0.597358\pi\)
−0.581050 + 0.813868i \(0.697358\pi\)
\(332\) −5.16823 + 3.86972i −0.283643 + 0.212378i
\(333\) −1.22570 + 7.73878i −0.0671680 + 0.424082i
\(334\) −0.462575 1.86750i −0.0253110 0.102185i
\(335\) 0.295209 + 4.10171i 0.0161290 + 0.224100i
\(336\) −20.3962 + 3.83479i −1.11270 + 0.209205i
\(337\) −0.545359 1.67844i −0.0297076 0.0914305i 0.935103 0.354375i \(-0.115306\pi\)
−0.964811 + 0.262945i \(0.915306\pi\)
\(338\) −0.370263 1.49482i −0.0201397 0.0813074i
\(339\) 7.03613 + 13.8092i 0.382150 + 0.750012i
\(340\) −5.40801 + 0.467499i −0.293290 + 0.0253537i
\(341\) 4.44515 8.72411i 0.240719 0.472437i
\(342\) −3.74806 + 16.1217i −0.202672 + 0.871761i
\(343\) 32.6088i 1.76071i
\(344\) −2.02748 + 5.20992i −0.109314 + 0.280900i
\(345\) −3.74480 + 0.269522i −0.201613 + 0.0145106i
\(346\) 2.63826 + 30.6981i 0.141834 + 1.65034i
\(347\) −4.84855 30.6126i −0.260284 1.64337i −0.678196 0.734881i \(-0.737238\pi\)
0.417912 0.908487i \(-0.362762\pi\)
\(348\) 14.0320 + 6.89730i 0.752197 + 0.369734i
\(349\) −0.0652599 + 0.0652599i −0.00349328 + 0.00349328i −0.708851 0.705358i \(-0.750786\pi\)
0.705358 + 0.708851i \(0.250786\pi\)
\(350\) 2.34783 + 32.3951i 0.125497 + 1.73159i
\(351\) 18.4162 0.982982
\(352\) 3.65225 + 31.7587i 0.194666 + 1.69274i
\(353\) −22.5667 16.3957i −1.20111 0.872655i −0.206714 0.978401i \(-0.566277\pi\)
−0.994393 + 0.105746i \(0.966277\pi\)
\(354\) −13.8786 + 16.4884i −0.737641 + 0.876351i
\(355\) −3.56209 + 8.43948i −0.189056 + 0.447921i
\(356\) 4.15237 + 7.86766i 0.220075 + 0.416985i
\(357\) 4.45304 + 4.45304i 0.235680 + 0.235680i
\(358\) −10.4641 2.43275i −0.553044 0.128575i
\(359\) 15.4610 5.02357i 0.815998 0.265134i 0.128862 0.991663i \(-0.458868\pi\)
0.687136 + 0.726529i \(0.258868\pi\)
\(360\) 8.91629 + 6.27747i 0.469930 + 0.330852i
\(361\) −25.7539 8.36794i −1.35547 0.440418i
\(362\) −20.0777 12.1059i −1.05526 0.636272i
\(363\) 10.7360 21.0705i 0.563492 1.10591i
\(364\) 30.0099 10.2303i 1.57294 0.536212i
\(365\) 19.0607 + 1.62852i 0.997685 + 0.0852404i
\(366\) −0.662343 2.67399i −0.0346212 0.139772i
\(367\) −16.4040 + 11.9182i −0.856280 + 0.622124i −0.926870 0.375382i \(-0.877512\pi\)
0.0705904 + 0.997505i \(0.477512\pi\)
\(368\) −1.67401 + 5.70549i −0.0872637 + 0.297419i
\(369\) −2.29268 + 1.66573i −0.119352 + 0.0867144i
\(370\) −8.44109 + 11.6304i −0.438831 + 0.604635i
\(371\) −16.8467 + 2.66825i −0.874635 + 0.138529i
\(372\) 3.91369 0.0562942i 0.202915 0.00291872i
\(373\) −5.46962 + 2.78691i −0.283206 + 0.144301i −0.589824 0.807532i \(-0.700803\pi\)
0.306617 + 0.951833i \(0.400803\pi\)
\(374\) 7.33082 6.35285i 0.379068 0.328498i
\(375\) −8.39274 + 9.43631i −0.433399 + 0.487289i
\(376\) 4.82547 22.1988i 0.248855 1.14482i
\(377\) −22.7177 7.38143i −1.17002 0.380163i
\(378\) −2.96810 34.5361i −0.152662 1.77634i
\(379\) −4.69558 29.6467i −0.241196 1.52285i −0.749693 0.661786i \(-0.769799\pi\)
0.508498 0.861063i \(-0.330201\pi\)
\(380\) −19.5376 + 23.2351i −1.00226 + 1.19193i
\(381\) −0.483417 + 3.05218i −0.0247662 + 0.156368i
\(382\) 1.67743 23.4706i 0.0858250 1.20086i
\(383\) −6.11802 + 4.44500i −0.312616 + 0.227129i −0.733018 0.680209i \(-0.761889\pi\)
0.420402 + 0.907338i \(0.361889\pi\)
\(384\) −10.5463 + 7.21697i −0.538190 + 0.368289i
\(385\) −37.4003 44.3882i −1.90610 2.26223i
\(386\) 14.1166 + 5.72872i 0.718518 + 0.291584i
\(387\) −3.03642 1.54713i −0.154350 0.0786452i
\(388\) 1.39831 + 8.07510i 0.0709883 + 0.409951i
\(389\) 10.5423 5.37155i 0.534514 0.272348i −0.165830 0.986154i \(-0.553030\pi\)
0.700343 + 0.713806i \(0.253030\pi\)
\(390\) 10.9867 + 5.59109i 0.556334 + 0.283116i
\(391\) 1.71597 0.557553i 0.0867804 0.0281967i
\(392\) −16.0520 36.5049i −0.810748 1.84378i
\(393\) 21.6120i 1.09018i
\(394\) −0.731744 + 3.14748i −0.0368647 + 0.158568i
\(395\) 23.2293 + 9.80450i 1.16879 + 0.493318i
\(396\) −19.4849 + 0.280270i −0.979154 + 0.0140841i
\(397\) 18.3636 2.90851i 0.921642 0.145974i 0.322457 0.946584i \(-0.395491\pi\)
0.599185 + 0.800610i \(0.295491\pi\)
\(398\) −2.35390 + 5.80046i −0.117990 + 0.290751i
\(399\) 35.2197 1.76319
\(400\) 9.35285 + 17.6784i 0.467643 + 0.883918i
\(401\) 24.5425 1.22559 0.612797 0.790241i \(-0.290044\pi\)
0.612797 + 0.790241i \(0.290044\pi\)
\(402\) 1.10469 2.72216i 0.0550968 0.135769i
\(403\) −5.90602 + 0.935422i −0.294200 + 0.0465967i
\(404\) 0.130438 + 9.06832i 0.00648954 + 0.451166i
\(405\) 1.25119 1.44526i 0.0621720 0.0718153i
\(406\) −10.1811 + 43.7924i −0.505281 + 2.17338i
\(407\) 25.6814i 1.27298i
\(408\) 3.61379 + 1.40634i 0.178909 + 0.0696240i
\(409\) −9.63674 + 3.13117i −0.476506 + 0.154826i −0.537416 0.843317i \(-0.680600\pi\)
0.0609103 + 0.998143i \(0.480600\pi\)
\(410\) −5.13331 + 0.815669i −0.253516 + 0.0402830i
\(411\) −8.31737 + 4.23791i −0.410266 + 0.209041i
\(412\) −2.68766 + 0.465404i −0.132412 + 0.0229288i
\(413\) −55.2183 28.1351i −2.71711 1.38444i
\(414\) −3.35853 1.36294i −0.165063 0.0669847i
\(415\) −0.518191 7.19987i −0.0254370 0.353428i
\(416\) 14.3801 13.2048i 0.705043 0.647417i
\(417\) 8.41105 6.11099i 0.411891 0.299256i
\(418\) 3.86743 54.1130i 0.189162 2.64675i
\(419\) −1.05419 + 6.65591i −0.0515007 + 0.325162i 0.948465 + 0.316882i \(0.102636\pi\)
−0.999966 + 0.00828067i \(0.997364\pi\)
\(420\) 8.71433 21.5046i 0.425216 1.04932i
\(421\) 2.30454 + 14.5503i 0.112316 + 0.709137i 0.978009 + 0.208561i \(0.0668781\pi\)
−0.865693 + 0.500575i \(0.833122\pi\)
\(422\) −0.0250050 0.290952i −0.00121722 0.0141633i
\(423\) 13.1701 + 4.27924i 0.640354 + 0.208064i
\(424\) −8.83468 + 5.67963i −0.429050 + 0.275827i
\(425\) 2.82733 5.37006i 0.137146 0.260486i
\(426\) 4.94544 4.28569i 0.239607 0.207643i
\(427\) 7.05810 3.59628i 0.341565 0.174036i
\(428\) −0.426342 29.6402i −0.0206080 1.43271i
\(429\) −21.7589 + 3.44626i −1.05053 + 0.166387i
\(430\) −3.67642 5.05484i −0.177293 0.243766i
\(431\) 0.0294902 0.0214259i 0.00142049 0.00103205i −0.587075 0.809533i \(-0.699721\pi\)
0.588495 + 0.808501i \(0.299721\pi\)
\(432\) −10.2331 18.7314i −0.492342 0.901216i
\(433\) 30.6121 22.2410i 1.47112 1.06883i 0.490836 0.871252i \(-0.336691\pi\)
0.980287 0.197581i \(-0.0633086\pi\)
\(434\) 2.70607 + 10.9249i 0.129896 + 0.524411i
\(435\) −14.9659 + 9.03391i −0.717558 + 0.433143i
\(436\) −5.51998 16.1925i −0.264359 0.775481i
\(437\) 4.58104 8.99080i 0.219141 0.430088i
\(438\) −11.7035 7.05663i −0.559213 0.337179i
\(439\) −18.1160 5.88624i −0.864629 0.280935i −0.157069 0.987588i \(-0.550204\pi\)
−0.707561 + 0.706653i \(0.750204\pi\)
\(440\) −32.0837 15.7505i −1.52953 0.750874i
\(441\) 23.1191 7.51185i 1.10091 0.357707i
\(442\) −5.77030 1.34151i −0.274465 0.0638093i
\(443\) 14.7856 + 14.7856i 0.702487 + 0.702487i 0.964944 0.262457i \(-0.0845327\pi\)
−0.262457 + 0.964944i \(0.584533\pi\)
\(444\) 9.07927 4.79183i 0.430883 0.227410i
\(445\) −9.91015 0.846705i −0.469786 0.0401377i
\(446\) −3.51743 + 4.17887i −0.166555 + 0.197875i
\(447\) 3.43121 + 2.49292i 0.162291 + 0.117911i
\(448\) −27.0807 24.8390i −1.27944 1.17353i
\(449\) 29.5798 1.39596 0.697978 0.716119i \(-0.254083\pi\)
0.697978 + 0.716119i \(0.254083\pi\)
\(450\) −11.2922 + 4.59567i −0.532319 + 0.216642i
\(451\) 6.56807 6.56807i 0.309278 0.309278i
\(452\) −12.1055 + 24.6277i −0.569393 + 1.15839i
\(453\) 0.375253 + 2.36925i 0.0176309 + 0.111317i
\(454\) 2.41245 + 28.0707i 0.113222 + 1.31742i
\(455\) −8.50564 + 34.4125i −0.398750 + 1.61328i
\(456\) 19.8524 8.72954i 0.929675 0.408798i
\(457\) 27.2348i 1.27399i 0.770867 + 0.636996i \(0.219823\pi\)
−0.770867 + 0.636996i \(0.780177\pi\)
\(458\) 9.01278 38.7670i 0.421140 1.81146i
\(459\) −2.94042 + 5.77090i −0.137247 + 0.269363i
\(460\) −4.35617 5.02169i −0.203108 0.234138i
\(461\) −16.1284 31.6538i −0.751176 1.47427i −0.876116 0.482101i \(-0.839874\pi\)
0.124940 0.992164i \(-0.460126\pi\)
\(462\) 9.96965 + 40.2492i 0.463830 + 1.87256i
\(463\) 6.40316 + 19.7069i 0.297580 + 0.915857i 0.982343 + 0.187091i \(0.0599059\pi\)
−0.684763 + 0.728766i \(0.740094\pi\)
\(464\) 5.11555 + 27.2082i 0.237483 + 1.26311i
\(465\) −2.31141 + 3.71584i −0.107189 + 0.172318i
\(466\) −2.68084 10.8230i −0.124188 0.501367i
\(467\) −2.73493 + 17.2677i −0.126557 + 0.799052i 0.839997 + 0.542591i \(0.182557\pi\)
−0.966555 + 0.256461i \(0.917443\pi\)
\(468\) 7.13291 + 9.52640i 0.329719 + 0.440358i
\(469\) 8.34360 + 1.32150i 0.385272 + 0.0610210i
\(470\) 17.9685 + 17.9506i 0.828827 + 0.827999i
\(471\) 6.05695 8.33667i 0.279089 0.384134i
\(472\) −38.0987 2.17266i −1.75363 0.100005i
\(473\) 10.6232 + 3.45167i 0.488453 + 0.158708i
\(474\) −11.7962 13.6121i −0.541816 0.625224i
\(475\) −10.0554 32.4171i −0.461372 1.48740i
\(476\) −1.58577 + 11.0373i −0.0726836 + 0.505895i
\(477\) −2.90658 5.70449i −0.133083 0.261190i
\(478\) −21.2372 + 25.2308i −0.971368 + 1.15403i
\(479\) 20.4306 + 14.8437i 0.933499 + 0.678227i 0.946847 0.321684i \(-0.104249\pi\)
−0.0133477 + 0.999911i \(0.504249\pi\)
\(480\) −0.418082 14.2815i −0.0190827 0.651860i
\(481\) −12.6885 + 9.21876i −0.578548 + 0.420339i
\(482\) −1.26279 + 17.6689i −0.0575184 + 0.804795i
\(483\) −1.20651 + 7.61759i −0.0548980 + 0.346612i
\(484\) 41.2579 7.14434i 1.87536 0.324743i
\(485\) −8.44148 3.56294i −0.383308 0.161785i
\(486\) 19.5951 8.28216i 0.888853 0.375686i
\(487\) −8.12154 + 2.63885i −0.368022 + 0.119578i −0.487189 0.873297i \(-0.661978\pi\)
0.119167 + 0.992874i \(0.461978\pi\)
\(488\) 3.08709 3.77655i 0.139746 0.170956i
\(489\) 15.7490 + 5.11716i 0.712194 + 0.231406i
\(490\) 44.0398 + 6.95265i 1.98952 + 0.314089i
\(491\) −6.85077 + 13.4454i −0.309171 + 0.606782i −0.992348 0.123471i \(-0.960598\pi\)
0.683177 + 0.730252i \(0.260598\pi\)
\(492\) 3.54756 + 1.09652i 0.159936 + 0.0494349i
\(493\) 5.94028 5.94028i 0.267537 0.267537i
\(494\) −28.1241 + 17.5139i −1.26536 + 0.787989i
\(495\) 11.5078 18.4999i 0.517235 0.831510i
\(496\) 4.23318 + 5.48735i 0.190075 + 0.246389i
\(497\) 15.2237 + 11.0607i 0.682876 + 0.496139i
\(498\) −1.93910 + 4.77830i −0.0868929 + 0.214121i
\(499\) −16.1116 + 16.1116i −0.721254 + 0.721254i −0.968861 0.247607i \(-0.920356\pi\)
0.247607 + 0.968861i \(0.420356\pi\)
\(500\) −22.2814 1.88124i −0.996455 0.0841315i
\(501\) −1.08658 1.08658i −0.0485447 0.0485447i
\(502\) 9.14597 + 21.6389i 0.408205 + 0.965790i
\(503\) 0.330658 0.455111i 0.0147433 0.0202924i −0.801582 0.597885i \(-0.796008\pi\)
0.816325 + 0.577593i \(0.196008\pi\)
\(504\) 16.7154 14.9118i 0.744563 0.664224i
\(505\) −8.60991 5.35573i −0.383136 0.238327i
\(506\) 11.5715 + 2.69021i 0.514416 + 0.119594i
\(507\) −0.869740 0.869740i −0.0386265 0.0386265i
\(508\) −4.83905 + 2.55394i −0.214698 + 0.113313i
\(509\) 1.86717 + 0.951371i 0.0827609 + 0.0421688i 0.494881 0.868961i \(-0.335212\pi\)
−0.412120 + 0.911129i \(0.635212\pi\)
\(510\) −3.50622 + 2.55010i −0.155258 + 0.112920i
\(511\) 12.1436 37.3742i 0.537203 1.65334i
\(512\) −21.4213 7.28891i −0.946696 0.322127i
\(513\) 11.1933 + 34.4495i 0.494197 + 1.52098i
\(514\) −11.4700 4.65469i −0.505921 0.205309i
\(515\) 1.18587 2.80961i 0.0522555 0.123806i
\(516\) 0.761864 + 4.39970i 0.0335392 + 0.193686i
\(517\) −44.8302 7.10041i −1.97163 0.312276i
\(518\) 19.3331 + 22.3092i 0.849446 + 0.980211i
\(519\) 14.4649 + 19.9092i 0.634937 + 0.873916i
\(520\) 3.73505 + 21.5056i 0.163793 + 0.943084i
\(521\) −20.1684 + 27.7595i −0.883595 + 1.21616i 0.0918168 + 0.995776i \(0.470733\pi\)
−0.975412 + 0.220389i \(0.929267\pi\)
\(522\) −16.8141 + 1.44504i −0.735933 + 0.0632475i
\(523\) 0.551454 0.280980i 0.0241134 0.0122864i −0.441892 0.897068i \(-0.645693\pi\)
0.466006 + 0.884782i \(0.345693\pi\)
\(524\) 30.6320 22.9357i 1.33816 1.00195i
\(525\) 14.9661 + 21.1897i 0.653173 + 0.924793i
\(526\) −18.9887 1.35712i −0.827949 0.0591732i
\(527\) 0.649862 2.00007i 0.0283084 0.0871244i
\(528\) 15.5958 + 20.2164i 0.678720 + 0.879805i
\(529\) −16.8197 12.2202i −0.731292 0.531315i
\(530\) −0.00587195 11.7425i −0.000255061 0.510063i
\(531\) 3.63895 22.9754i 0.157917 0.997049i
\(532\) 37.3768 + 49.9189i 1.62049 + 2.16426i
\(533\) −5.60283 0.887401i −0.242686 0.0384376i
\(534\) 6.08492 + 3.66891i 0.263320 + 0.158769i
\(535\) 28.1418 + 17.5054i 1.21668 + 0.756826i
\(536\) 5.03062 1.32315i 0.217290 0.0571513i
\(537\) −8.16063 + 2.65155i −0.352157 + 0.114423i
\(538\) −7.84111 + 13.0045i −0.338054 + 0.560665i
\(539\) −70.9924 + 36.1725i −3.05786 + 1.55806i
\(540\) 23.8039 + 1.68929i 1.02436 + 0.0726956i
\(541\) 28.8160 + 14.6825i 1.23890 + 0.631250i 0.945774 0.324824i \(-0.105305\pi\)
0.293124 + 0.956074i \(0.405305\pi\)
\(542\) −21.4723 34.4806i −0.922315 1.48107i
\(543\) −18.7256 −0.803592
\(544\) 1.84185 + 6.61451i 0.0789688 + 0.283595i
\(545\) 18.5680 + 4.58941i 0.795367 + 0.196589i
\(546\) 16.3074 19.3739i 0.697891 0.829126i
\(547\) −32.2138 + 5.10217i −1.37736 + 0.218153i −0.800816 0.598911i \(-0.795600\pi\)
−0.576547 + 0.817064i \(0.695600\pi\)
\(548\) −14.8334 7.29121i −0.633653 0.311465i
\(549\) 2.10249 + 2.10249i 0.0897320 + 0.0897320i
\(550\) 34.2001 20.6677i 1.45830 0.881273i
\(551\) 46.9824i 2.00152i
\(552\) 1.20802 + 4.59289i 0.0514166 + 0.195486i
\(553\) 30.4440 41.9025i 1.29461 1.78188i
\(554\) −17.6589 + 1.51764i −0.750256 + 0.0644785i
\(555\) −0.977096 + 11.4363i −0.0414754 + 0.485444i
\(556\) 17.5877 + 5.43619i 0.745883 + 0.230546i
\(557\) 21.3956 21.3956i 0.906563 0.906563i −0.0894305 0.995993i \(-0.528505\pi\)
0.995993 + 0.0894305i \(0.0285047\pi\)
\(558\) −3.58612 + 2.23321i −0.151813 + 0.0945393i
\(559\) −2.10797 6.48767i −0.0891577 0.274399i
\(560\) 39.7278 10.4704i 1.67881 0.442456i
\(561\) 2.39421 7.36862i 0.101084 0.311103i
\(562\) 7.80769 + 31.5210i 0.329348 + 1.32963i
\(563\) 5.66590 + 2.88692i 0.238789 + 0.121669i 0.569291 0.822136i \(-0.307218\pi\)
−0.330502 + 0.943805i \(0.607218\pi\)
\(564\) −5.85452 17.1739i −0.246520 0.723151i
\(565\) −15.8554 26.2666i −0.667043 1.10505i
\(566\) −34.0109 20.5069i −1.42959 0.861971i
\(567\) −2.30815 3.17689i −0.0969331 0.133417i
\(568\) 11.3227 + 2.46127i 0.475090 + 0.103273i
\(569\) 17.9787 + 24.7455i 0.753705 + 1.03739i 0.997712 + 0.0676129i \(0.0215383\pi\)
−0.244006 + 0.969774i \(0.578462\pi\)
\(570\) −3.78105 + 23.9501i −0.158371 + 1.00316i
\(571\) 5.58864 + 35.2853i 0.233877 + 1.47664i 0.772995 + 0.634412i \(0.218758\pi\)
−0.539118 + 0.842231i \(0.681242\pi\)
\(572\) −27.9761 27.1827i −1.16974 1.13657i
\(573\) −8.53224 16.7455i −0.356439 0.699551i
\(574\) −0.761158 + 10.6501i −0.0317701 + 0.444526i
\(575\) 7.35590 1.06435i 0.306762 0.0443867i
\(576\) 5.72601 12.5485i 0.238584 0.522853i
\(577\) 0.0433591 0.133446i 0.00180506 0.00555542i −0.950150 0.311793i \(-0.899070\pi\)
0.951955 + 0.306238i \(0.0990703\pi\)
\(578\) −14.1402 + 16.7992i −0.588156 + 0.698755i
\(579\) 12.0182 1.90350i 0.499461 0.0791069i
\(580\) −28.6868 11.6248i −1.19115 0.482692i
\(581\) −14.6458 2.31967i −0.607610 0.0962360i
\(582\) 4.28671 + 4.94661i 0.177690 + 0.205044i
\(583\) 12.3345 + 16.9770i 0.510842 + 0.703114i
\(584\) −2.41852 24.0768i −0.100079 0.996306i
\(585\) −13.2713 + 0.955162i −0.548699 + 0.0394911i
\(586\) 12.9417 + 30.6193i 0.534616 + 1.26487i
\(587\) 11.4899 22.5501i 0.474238 0.930744i −0.522698 0.852518i \(-0.675074\pi\)
0.996936 0.0782259i \(-0.0249256\pi\)
\(588\) −26.0345 18.3490i −1.07365 0.756698i
\(589\) −5.33948 10.4793i −0.220010 0.431793i
\(590\) 25.0605 34.5291i 1.03172 1.42154i
\(591\) 0.797557 + 2.45463i 0.0328071 + 0.100970i
\(592\) 16.4271 + 7.78325i 0.675150 + 0.319889i
\(593\) −2.87828 −0.118197 −0.0590985 0.998252i \(-0.518823\pi\)
−0.0590985 + 0.998252i \(0.518823\pi\)
\(594\) −36.2006 + 22.5434i −1.48533 + 0.924968i
\(595\) −9.42546 8.15981i −0.386406 0.334519i
\(596\) 0.108007 + 7.50886i 0.00442413 + 0.307575i
\(597\) 0.782140 + 4.93824i 0.0320109 + 0.202109i
\(598\) −2.82461 6.68288i −0.115507 0.273283i
\(599\) 36.3714i 1.48609i −0.669239 0.743047i \(-0.733380\pi\)
0.669239 0.743047i \(-0.266620\pi\)
\(600\) 13.6881 + 8.23458i 0.558812 + 0.336175i
\(601\) 15.5801i 0.635527i 0.948170 + 0.317764i \(0.102932\pi\)
−0.948170 + 0.317764i \(0.897068\pi\)
\(602\) −11.8267 + 4.99871i −0.482019 + 0.203732i
\(603\) 0.496030 + 3.13181i 0.0201999 + 0.127537i
\(604\) −2.95984 + 3.04623i −0.120434 + 0.123949i
\(605\) −18.2040 + 43.1299i −0.740100 + 1.75348i
\(606\) 3.82912 + 6.14885i 0.155547 + 0.249780i
\(607\) −1.33418 −0.0541526 −0.0270763 0.999633i \(-0.508620\pi\)
−0.0270763 + 0.999633i \(0.508620\pi\)
\(608\) 33.4412 + 18.8738i 1.35622 + 0.765433i
\(609\) 11.0968 + 34.1525i 0.449665 + 1.38393i
\(610\) 1.68782 + 5.18574i 0.0683377 + 0.209964i
\(611\) 12.5844 + 24.6983i 0.509111 + 0.999186i
\(612\) −4.12408 + 0.714137i −0.166706 + 0.0288673i
\(613\) 5.48016 10.7554i 0.221341 0.434407i −0.753456 0.657498i \(-0.771615\pi\)
0.974798 + 0.223091i \(0.0716147\pi\)
\(614\) 38.9805 16.4757i 1.57313 0.664904i
\(615\) −3.17475 + 2.67496i −0.128018 + 0.107865i
\(616\) −46.4673 + 56.8450i −1.87222 + 2.29035i
\(617\) 25.9257 + 35.6836i 1.04373 + 1.43657i 0.894122 + 0.447823i \(0.147801\pi\)
0.149606 + 0.988746i \(0.452199\pi\)
\(618\) −1.64640 + 1.42676i −0.0662279 + 0.0573927i
\(619\) −6.78331 1.07437i −0.272644 0.0431826i 0.0186151 0.999827i \(-0.494074\pi\)
−0.291259 + 0.956644i \(0.594074\pi\)
\(620\) −7.71966 + 0.667332i −0.310029 + 0.0268007i
\(621\) −7.83446 + 1.24086i −0.314386 + 0.0497938i
\(622\) −1.01698 0.856015i −0.0407774 0.0343231i
\(623\) −6.31377 + 19.4318i −0.252956 + 0.778518i
\(624\) 4.39004 14.9625i 0.175742 0.598979i
\(625\) 15.2306 19.8249i 0.609226 0.792997i
\(626\) −2.26182 0.161652i −0.0904005 0.00646089i
\(627\) −19.6716 38.6077i −0.785609 1.54184i
\(628\) 18.2440 0.262420i 0.728013 0.0104717i
\(629\) −0.862880 5.44801i −0.0344053 0.217226i
\(630\) 3.93013 + 24.7338i 0.156580 + 0.985418i
\(631\) 4.46197 + 6.14137i 0.177628 + 0.244484i 0.888542 0.458795i \(-0.151719\pi\)
−0.710914 + 0.703279i \(0.751719\pi\)
\(632\) 6.77453 31.1652i 0.269476 1.23969i
\(633\) −0.137096 0.188696i −0.00544906 0.00749999i
\(634\) 21.4624 35.5956i 0.852382 1.41368i
\(635\) 0.520771 6.09529i 0.0206662 0.241884i
\(636\) −3.70048 + 7.52836i −0.146734 + 0.298519i
\(637\) 43.3558 + 22.0909i 1.71782 + 0.875273i
\(638\) 53.6918 13.2993i 2.12568 0.526526i
\(639\) −2.18266 + 6.71754i −0.0863448 + 0.265742i
\(640\) 19.7983 15.7488i 0.782598 0.622527i
\(641\) 9.97655 + 30.7047i 0.394050 + 1.21276i 0.929699 + 0.368320i \(0.120067\pi\)
−0.535649 + 0.844441i \(0.679933\pi\)
\(642\) −12.5156 20.0978i −0.493953 0.793196i
\(643\) −5.40446 + 5.40446i −0.213131 + 0.213131i −0.805596 0.592465i \(-0.798155\pi\)
0.592465 + 0.805596i \(0.298155\pi\)
\(644\) −12.0773 + 6.37410i −0.475910 + 0.251175i
\(645\) −4.59932 1.94126i −0.181098 0.0764369i
\(646\) −0.997731 11.6094i −0.0392552 0.456764i
\(647\) 6.62453 9.11788i 0.260437 0.358461i −0.658695 0.752410i \(-0.728891\pi\)
0.919132 + 0.393949i \(0.128891\pi\)
\(648\) −2.08847 1.21864i −0.0820427 0.0478725i
\(649\) 76.2448i 2.99287i
\(650\) −22.4881 9.47840i −0.882054 0.371774i
\(651\) 6.35650 + 6.35650i 0.249131 + 0.249131i
\(652\) 9.46074 + 27.7525i 0.370511 + 1.08687i
\(653\) 23.7115 3.75554i 0.927903 0.146965i 0.325850 0.945421i \(-0.394349\pi\)
0.602053 + 0.798456i \(0.294349\pi\)
\(654\) −10.4536 8.79902i −0.408769 0.344069i
\(655\) 3.07130 + 42.6734i 0.120006 + 1.66739i
\(656\) 2.21068 + 6.19184i 0.0863126 + 0.241751i
\(657\) 14.7505 0.575473
\(658\) 44.2888 27.5803i 1.72656 1.07519i
\(659\) −7.09464 3.61490i −0.276368 0.140816i 0.310314 0.950634i \(-0.399566\pi\)
−0.586682 + 0.809818i \(0.699566\pi\)
\(660\) −28.4406 + 2.45857i −1.10705 + 0.0956997i
\(661\) −20.4246 + 10.4069i −0.794425 + 0.404780i −0.803594 0.595178i \(-0.797082\pi\)
0.00916859 + 0.999958i \(0.497082\pi\)
\(662\) −19.6798 11.8660i −0.764879 0.461185i
\(663\) −4.50009 + 1.46217i −0.174769 + 0.0567859i
\(664\) −8.83042 + 2.32257i −0.342687 + 0.0901331i
\(665\) −69.5421 + 5.00510i −2.69673 + 0.194089i
\(666\) −5.72156 + 9.48924i −0.221706 + 0.367701i
\(667\) 10.1617 + 1.60946i 0.393464 + 0.0623186i
\(668\) 0.386940 2.69320i 0.0149712 0.104203i
\(669\) −0.682469 + 4.30894i −0.0263858 + 0.166593i
\(670\) −1.79438 + 5.53195i −0.0693231 + 0.213718i
\(671\) −7.88447 5.72840i −0.304377 0.221143i
\(672\) −28.7669 5.82122i −1.10971 0.224558i
\(673\) −0.516000 + 1.58808i −0.0198903 + 0.0612161i −0.960509 0.278249i \(-0.910246\pi\)
0.940619 + 0.339465i \(0.110246\pi\)
\(674\) 0.177922 2.48948i 0.00685331 0.0958911i
\(675\) −15.9699 + 21.3732i −0.614680 + 0.822654i
\(676\) 0.309722 2.15574i 0.0119124 0.0829131i
\(677\) 6.69974 3.41369i 0.257492 0.131199i −0.320480 0.947255i \(-0.603844\pi\)
0.577972 + 0.816056i \(0.303844\pi\)
\(678\) 1.87676 + 21.8376i 0.0720766 + 0.838666i
\(679\) −11.0633 + 15.2273i −0.424570 + 0.584370i
\(680\) −7.33538 2.26328i −0.281299 0.0867929i
\(681\) 13.2268 + 18.2052i 0.506854 + 0.697624i
\(682\) 10.4644 9.06838i 0.400702 0.347246i
\(683\) −12.0668 1.91119i −0.461723 0.0731297i −0.0787601 0.996894i \(-0.525096\pi\)
−0.382962 + 0.923764i \(0.625096\pi\)
\(684\) −13.4848 + 19.1330i −0.515605 + 0.731570i
\(685\) 15.8206 9.54985i 0.604474 0.364881i
\(686\) 17.3409 42.7313i 0.662079 1.63149i
\(687\) −9.82339 30.2333i −0.374786 1.15347i
\(688\) −5.42741 + 5.74900i −0.206918 + 0.219179i
\(689\) 3.96022 12.1883i 0.150872 0.464338i
\(690\) −5.05060 1.63825i −0.192273 0.0623670i
\(691\) 28.5578 + 14.5509i 1.08639 + 0.553543i 0.903063 0.429509i \(-0.141313\pi\)
0.183327 + 0.983052i \(0.441313\pi\)
\(692\) −12.8676 + 41.6305i −0.489153 + 1.58255i
\(693\) −31.6469 31.6469i −1.20216 1.20216i
\(694\) 9.92569 42.6937i 0.376774 1.62063i
\(695\) −15.7394 + 13.2616i −0.597029 + 0.503041i
\(696\) 14.7200 + 16.5004i 0.557960 + 0.625446i
\(697\) 1.17265 1.61402i 0.0444175 0.0611354i
\(698\) −0.120222 + 0.0508137i −0.00455048 + 0.00192333i
\(699\) −6.29723 6.29723i −0.238183 0.238183i
\(700\) −14.1506 + 43.6998i −0.534843 + 1.65170i
\(701\) −21.8069 + 21.8069i −0.823635 + 0.823635i −0.986627 0.162992i \(-0.947886\pi\)
0.162992 + 0.986627i \(0.447886\pi\)
\(702\) 24.1329 + 9.79346i 0.910839 + 0.369630i
\(703\) −24.9568 18.1322i −0.941264 0.683868i
\(704\) −12.1028 + 43.5594i −0.456142 + 1.64171i
\(705\) 19.6934 + 4.86756i 0.741695 + 0.183323i
\(706\) −20.8529 33.4860i −0.784811 1.26026i
\(707\) −14.7285 + 14.7285i −0.553923 + 0.553923i
\(708\) −26.9552 + 14.2263i −1.01304 + 0.534658i
\(709\) −14.6036 + 28.6612i −0.548450 + 1.07639i 0.435871 + 0.900009i \(0.356440\pi\)
−0.984321 + 0.176385i \(0.943560\pi\)
\(710\) −9.15584 + 9.16500i −0.343613 + 0.343956i
\(711\) 18.4897 + 6.00767i 0.693419 + 0.225305i
\(712\) 1.25745 + 12.5181i 0.0471248 + 0.469137i
\(713\) 2.44947 0.795880i 0.0917332 0.0298059i
\(714\) 3.46729 + 8.20342i 0.129760 + 0.307005i
\(715\) 42.4736 9.89690i 1.58842 0.370123i
\(716\) −12.4186 8.75257i −0.464106 0.327099i
\(717\) −4.12055 + 26.0161i −0.153885 + 0.971590i
\(718\) 22.9318 + 1.63893i 0.855808 + 0.0611643i
\(719\) 16.4640 11.9618i 0.614002 0.446098i −0.236819 0.971554i \(-0.576105\pi\)
0.850821 + 0.525455i \(0.176105\pi\)
\(720\) 8.34583 + 12.9677i 0.311031 + 0.483277i
\(721\) −5.06816 3.68223i −0.188748 0.137134i
\(722\) −29.2985 24.6611i −1.09038 0.917790i
\(723\) 6.42314 + 12.6061i 0.238879 + 0.468827i
\(724\) −19.8725 26.5409i −0.738556 0.986384i
\(725\) 28.2666 19.9645i 1.04980 0.741462i
\(726\) 25.2736 21.9020i 0.937992 0.812859i
\(727\) 25.0902 + 8.15231i 0.930545 + 0.302352i 0.734786 0.678299i \(-0.237283\pi\)
0.195760 + 0.980652i \(0.437283\pi\)
\(728\) 44.7659 + 2.55287i 1.65913 + 0.0946156i
\(729\) 11.4947 15.8211i 0.425729 0.585966i
\(730\) 24.1116 + 12.2703i 0.892410 + 0.454143i
\(731\) 2.36955 + 0.375300i 0.0876410 + 0.0138810i
\(732\) 0.554045 3.85628i 0.0204781 0.142532i
\(733\) −6.69882 + 42.2947i −0.247426 + 1.56219i 0.480786 + 0.876838i \(0.340351\pi\)
−0.728213 + 0.685351i \(0.759649\pi\)
\(734\) −27.8340 + 6.89443i −1.02737 + 0.254478i
\(735\) 32.9902 13.4071i 1.21686 0.494527i
\(736\) −5.22776 + 6.58638i −0.192698 + 0.242777i
\(737\) −3.21162 9.88435i −0.118302 0.364095i
\(738\) −3.89019 + 0.963592i −0.143200 + 0.0354703i
\(739\) −5.28378 10.3700i −0.194367 0.381467i 0.773169 0.634200i \(-0.218670\pi\)
−0.967536 + 0.252733i \(0.918670\pi\)
\(740\) −17.2463 + 10.7519i −0.633985 + 0.395246i
\(741\) −12.0137 + 23.5781i −0.441333 + 0.866164i
\(742\) −23.4952 5.46229i −0.862535 0.200527i
\(743\) 20.7713i 0.762025i −0.924570 0.381013i \(-0.875575\pi\)
0.924570 0.381013i \(-0.124425\pi\)
\(744\) 5.15851 + 2.00747i 0.189120 + 0.0735976i
\(745\) −7.12927 4.43472i −0.261196 0.162475i
\(746\) −8.64955 + 0.743359i −0.316682 + 0.0272163i
\(747\) −0.870698 5.49737i −0.0318572 0.201138i
\(748\) 12.9848 4.42648i 0.474772 0.161848i
\(749\) 48.1408 48.1408i 1.75902 1.75902i
\(750\) −16.0161 + 7.90240i −0.584826 + 0.288555i
\(751\) −28.6410 −1.04513 −0.522563 0.852601i \(-0.675024\pi\)
−0.522563 + 0.852601i \(0.675024\pi\)
\(752\) 18.1284 26.5237i 0.661076 0.967220i
\(753\) 15.1799 + 11.0289i 0.553187 + 0.401914i
\(754\) −25.8444 21.7537i −0.941198 0.792224i
\(755\) −1.07764 4.62482i −0.0392194 0.168314i
\(756\) 14.4763 46.8352i 0.526500 1.70338i
\(757\) −19.4633 19.4633i −0.707404 0.707404i 0.258584 0.965989i \(-0.416744\pi\)
−0.965989 + 0.258584i \(0.916744\pi\)
\(758\) 9.61252 41.3467i 0.349143 1.50178i
\(759\) 9.02427 2.93216i 0.327560 0.106431i
\(760\) −37.9585 + 20.0579i −1.37690 + 0.727577i
\(761\) 42.6758 + 13.8662i 1.54699 + 0.502649i 0.953296 0.302038i \(-0.0976670\pi\)
0.593699 + 0.804687i \(0.297667\pi\)
\(762\) −2.25659 + 3.74256i −0.0817475 + 0.135579i
\(763\) 17.8376 35.0082i 0.645764 1.26738i
\(764\) 14.6795 29.8643i 0.531085 1.08045i
\(765\) 1.81965 4.31120i 0.0657895 0.155872i
\(766\) −10.3810 + 2.57135i −0.375080 + 0.0929065i
\(767\) 37.6706 27.3693i 1.36021 0.988249i
\(768\) −17.6580 + 3.84888i −0.637178 + 0.138885i
\(769\) 15.4030 11.1909i 0.555446 0.403555i −0.274344 0.961632i \(-0.588461\pi\)
0.829789 + 0.558077i \(0.188461\pi\)
\(770\) −25.4052 78.0562i −0.915539 2.81295i
\(771\) −9.76505 + 1.54663i −0.351680 + 0.0557006i
\(772\) 15.4523 + 15.0141i 0.556140 + 0.540368i
\(773\) 5.92590 3.01940i 0.213140 0.108600i −0.344162 0.938910i \(-0.611837\pi\)