Properties

Label 144.2.u.a.59.10
Level $144$
Weight $2$
Character 144.59
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 59.10
Character \(\chi\) \(=\) 144.59
Dual form 144.2.u.a.83.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.503111 + 1.32170i) q^{2} +(1.05993 - 1.36987i) q^{3} +(-1.49376 - 1.32992i) q^{4} +(-0.746784 - 2.78704i) q^{5} +(1.27729 + 2.09010i) q^{6} +(1.16672 + 2.02082i) q^{7} +(2.50928 - 1.30520i) q^{8} +(-0.753089 - 2.90394i) q^{9} +O(q^{10})\) \(q+(-0.503111 + 1.32170i) q^{2} +(1.05993 - 1.36987i) q^{3} +(-1.49376 - 1.32992i) q^{4} +(-0.746784 - 2.78704i) q^{5} +(1.27729 + 2.09010i) q^{6} +(1.16672 + 2.02082i) q^{7} +(2.50928 - 1.30520i) q^{8} +(-0.753089 - 2.90394i) q^{9} +(4.05933 + 0.415168i) q^{10} +(1.48439 - 5.53982i) q^{11} +(-3.40510 + 0.636631i) q^{12} +(1.04654 + 3.90572i) q^{13} +(-3.25790 + 0.525353i) q^{14} +(-4.60942 - 1.93107i) q^{15} +(0.462627 + 3.97316i) q^{16} +6.45489i q^{17} +(4.21701 + 0.465650i) q^{18} +(-1.50499 - 1.50499i) q^{19} +(-2.59102 + 5.15632i) q^{20} +(4.00491 + 0.543676i) q^{21} +(6.57514 + 4.74905i) q^{22} +(-0.0418190 - 0.0241442i) q^{23} +(0.871712 - 4.82080i) q^{24} +(-2.87976 + 1.66263i) q^{25} +(-5.68870 - 0.581812i) q^{26} +(-4.77624 - 2.04634i) q^{27} +(0.944730 - 4.57027i) q^{28} +(-1.36254 + 5.08507i) q^{29} +(4.87134 - 5.12071i) q^{30} +(1.65029 + 0.952797i) q^{31} +(-5.48406 - 1.38749i) q^{32} +(-6.01548 - 7.90525i) q^{33} +(-8.53140 - 3.24753i) q^{34} +(4.76082 - 4.76082i) q^{35} +(-2.73707 + 5.33933i) q^{36} +(0.489763 + 0.489763i) q^{37} +(2.74631 - 1.23196i) q^{38} +(6.45959 + 2.70618i) q^{39} +(-5.51152 - 6.01874i) q^{40} +(-0.0155357 + 0.0269087i) q^{41} +(-2.73349 + 5.01974i) q^{42} +(3.80267 + 1.01892i) q^{43} +(-9.58483 + 6.30103i) q^{44} +(-7.53099 + 4.26750i) q^{45} +(0.0529509 - 0.0431248i) q^{46} +(-0.0913288 - 0.158186i) q^{47} +(5.93306 + 3.57754i) q^{48} +(0.777520 - 1.34670i) q^{49} +(-0.748652 - 4.64266i) q^{50} +(8.84237 + 6.84175i) q^{51} +(3.63103 - 7.22601i) q^{52} +(-6.62061 + 6.62061i) q^{53} +(5.10762 - 5.28320i) q^{54} -16.5482 q^{55} +(5.56520 + 3.54800i) q^{56} +(-3.65682 + 0.466453i) q^{57} +(-6.03541 - 4.35922i) q^{58} +(4.15614 - 1.11363i) q^{59} +(4.31719 + 9.01471i) q^{60} +(6.39775 + 1.71427i) q^{61} +(-2.08959 + 1.70182i) q^{62} +(4.98970 - 4.90995i) q^{63} +(4.59293 - 6.55019i) q^{64} +(10.1039 - 5.83347i) q^{65} +(13.4748 - 3.97341i) q^{66} +(-0.808279 + 0.216578i) q^{67} +(8.58449 - 9.64205i) q^{68} +(-0.0773998 + 0.0316954i) q^{69} +(3.89713 + 8.68757i) q^{70} +1.04372i q^{71} +(-5.67992 - 6.30385i) q^{72} +4.74654i q^{73} +(-0.893723 + 0.400912i) q^{74} +(-0.774762 + 5.70717i) q^{75} +(0.246575 + 4.24960i) q^{76} +(12.9269 - 3.46374i) q^{77} +(-6.82664 + 7.17610i) q^{78} +(-7.29908 + 4.21413i) q^{79} +(10.7279 - 4.25645i) q^{80} +(-7.86571 + 4.37385i) q^{81} +(-0.0277489 - 0.0340716i) q^{82} +(11.9789 + 3.20973i) q^{83} +(-5.25932 - 6.13833i) q^{84} +(17.9900 - 4.82041i) q^{85} +(-3.25987 + 4.51334i) q^{86} +(5.52169 + 7.25633i) q^{87} +(-3.50580 - 15.8383i) q^{88} -2.85193 q^{89} +(-1.85141 - 12.1007i) q^{90} +(-6.67175 + 6.67175i) q^{91} +(0.0303576 + 0.0916816i) q^{92} +(3.05441 - 1.25079i) q^{93} +(0.255023 - 0.0411237i) q^{94} +(-3.07055 + 5.31835i) q^{95} +(-7.71340 + 6.04180i) q^{96} +(3.29818 + 5.71262i) q^{97} +(1.38875 + 1.70519i) q^{98} +(-17.2052 - 0.138600i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} + O(q^{10}) \) \( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} - 8 q^{10} - 6 q^{11} - 16 q^{12} - 2 q^{13} - 6 q^{14} - 2 q^{16} - 10 q^{18} - 8 q^{19} - 48 q^{20} + 2 q^{21} - 2 q^{22} - 12 q^{23} - 16 q^{27} + 8 q^{28} - 6 q^{29} - 34 q^{30} - 6 q^{32} - 8 q^{33} + 2 q^{34} - 26 q^{36} - 8 q^{37} - 6 q^{38} - 32 q^{39} - 2 q^{40} + 48 q^{42} - 2 q^{43} + 6 q^{45} - 40 q^{46} + 42 q^{48} - 24 q^{49} + 72 q^{50} - 12 q^{51} - 2 q^{52} - 38 q^{54} - 16 q^{55} + 36 q^{56} + 16 q^{58} - 42 q^{59} + 70 q^{60} - 2 q^{61} - 44 q^{64} - 12 q^{65} + 104 q^{66} - 2 q^{67} + 96 q^{68} - 10 q^{69} - 16 q^{70} - 10 q^{72} + 78 q^{74} - 56 q^{75} - 14 q^{76} - 6 q^{77} + 12 q^{78} - 8 q^{81} - 36 q^{82} + 54 q^{83} + 158 q^{84} + 8 q^{85} + 54 q^{86} + 48 q^{87} + 22 q^{88} + 64 q^{90} + 20 q^{91} + 108 q^{92} - 34 q^{93} + 6 q^{94} - 58 q^{96} - 4 q^{97} + 46 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.503111 + 1.32170i −0.355753 + 0.934580i
\(3\) 1.05993 1.36987i 0.611952 0.790895i
\(4\) −1.49376 1.32992i −0.746879 0.664960i
\(5\) −0.746784 2.78704i −0.333972 1.24640i −0.904979 0.425456i \(-0.860114\pi\)
0.571007 0.820945i \(-0.306553\pi\)
\(6\) 1.27729 + 2.09010i 0.521451 + 0.853282i
\(7\) 1.16672 + 2.02082i 0.440979 + 0.763799i 0.997762 0.0668592i \(-0.0212978\pi\)
−0.556783 + 0.830658i \(0.687964\pi\)
\(8\) 2.50928 1.30520i 0.887163 0.461456i
\(9\) −0.753089 2.90394i −0.251030 0.967979i
\(10\) 4.05933 + 0.415168i 1.28367 + 0.131288i
\(11\) 1.48439 5.53982i 0.447560 1.67032i −0.261527 0.965196i \(-0.584226\pi\)
0.709087 0.705121i \(-0.249107\pi\)
\(12\) −3.40510 + 0.636631i −0.982968 + 0.183779i
\(13\) 1.04654 + 3.90572i 0.290257 + 1.08325i 0.944912 + 0.327325i \(0.106147\pi\)
−0.654655 + 0.755928i \(0.727186\pi\)
\(14\) −3.25790 + 0.525353i −0.870711 + 0.140407i
\(15\) −4.60942 1.93107i −1.19015 0.498601i
\(16\) 0.462627 + 3.97316i 0.115657 + 0.993289i
\(17\) 6.45489i 1.56554i 0.622310 + 0.782771i \(0.286194\pi\)
−0.622310 + 0.782771i \(0.713806\pi\)
\(18\) 4.21701 + 0.465650i 0.993959 + 0.109755i
\(19\) −1.50499 1.50499i −0.345267 0.345267i 0.513076 0.858343i \(-0.328506\pi\)
−0.858343 + 0.513076i \(0.828506\pi\)
\(20\) −2.59102 + 5.15632i −0.579370 + 1.15299i
\(21\) 4.00491 + 0.543676i 0.873943 + 0.118640i
\(22\) 6.57514 + 4.74905i 1.40182 + 1.01250i
\(23\) −0.0418190 0.0241442i −0.00871987 0.00503442i 0.495634 0.868532i \(-0.334936\pi\)
−0.504354 + 0.863497i \(0.668269\pi\)
\(24\) 0.871712 4.82080i 0.177937 0.984042i
\(25\) −2.87976 + 1.66263i −0.575952 + 0.332526i
\(26\) −5.68870 0.581812i −1.11565 0.114103i
\(27\) −4.77624 2.04634i −0.919188 0.393819i
\(28\) 0.944730 4.57027i 0.178537 0.863699i
\(29\) −1.36254 + 5.08507i −0.253018 + 0.944274i 0.716165 + 0.697931i \(0.245896\pi\)
−0.969183 + 0.246343i \(0.920771\pi\)
\(30\) 4.87134 5.12071i 0.889381 0.934909i
\(31\) 1.65029 + 0.952797i 0.296401 + 0.171127i 0.640825 0.767687i \(-0.278592\pi\)
−0.344424 + 0.938814i \(0.611926\pi\)
\(32\) −5.48406 1.38749i −0.969453 0.245276i
\(33\) −6.01548 7.90525i −1.04716 1.37613i
\(34\) −8.53140 3.24753i −1.46312 0.556947i
\(35\) 4.76082 4.76082i 0.804725 0.804725i
\(36\) −2.73707 + 5.33933i −0.456179 + 0.889888i
\(37\) 0.489763 + 0.489763i 0.0805165 + 0.0805165i 0.746218 0.665702i \(-0.231868\pi\)
−0.665702 + 0.746218i \(0.731868\pi\)
\(38\) 2.74631 1.23196i 0.445510 0.199850i
\(39\) 6.45959 + 2.70618i 1.03436 + 0.433336i
\(40\) −5.51152 6.01874i −0.871447 0.951647i
\(41\) −0.0155357 + 0.0269087i −0.00242628 + 0.00420243i −0.867236 0.497897i \(-0.834106\pi\)
0.864810 + 0.502100i \(0.167439\pi\)
\(42\) −2.73349 + 5.01974i −0.421786 + 0.774563i
\(43\) 3.80267 + 1.01892i 0.579901 + 0.155384i 0.536834 0.843688i \(-0.319620\pi\)
0.0430675 + 0.999072i \(0.486287\pi\)
\(44\) −9.58483 + 6.30103i −1.44497 + 0.949916i
\(45\) −7.53099 + 4.26750i −1.12265 + 0.636162i
\(46\) 0.0529509 0.0431248i 0.00780719 0.00635840i
\(47\) −0.0913288 0.158186i −0.0133217 0.0230738i 0.859288 0.511493i \(-0.170907\pi\)
−0.872609 + 0.488419i \(0.837574\pi\)
\(48\) 5.93306 + 3.57754i 0.856364 + 0.516373i
\(49\) 0.777520 1.34670i 0.111074 0.192386i
\(50\) −0.748652 4.64266i −0.105875 0.656571i
\(51\) 8.84237 + 6.84175i 1.23818 + 0.958036i
\(52\) 3.63103 7.22601i 0.503533 1.00207i
\(53\) −6.62061 + 6.62061i −0.909411 + 0.909411i −0.996225 0.0868136i \(-0.972332\pi\)
0.0868136 + 0.996225i \(0.472332\pi\)
\(54\) 5.10762 5.28320i 0.695059 0.718952i
\(55\) −16.5482 −2.23136
\(56\) 5.56520 + 3.54800i 0.743680 + 0.474121i
\(57\) −3.65682 + 0.466453i −0.484357 + 0.0617832i
\(58\) −6.03541 4.35922i −0.792488 0.572394i
\(59\) 4.15614 1.11363i 0.541083 0.144983i 0.0220815 0.999756i \(-0.492971\pi\)
0.519001 + 0.854773i \(0.326304\pi\)
\(60\) 4.31719 + 9.01471i 0.557347 + 1.16379i
\(61\) 6.39775 + 1.71427i 0.819148 + 0.219490i 0.643974 0.765047i \(-0.277284\pi\)
0.175174 + 0.984537i \(0.443951\pi\)
\(62\) −2.08959 + 1.70182i −0.265378 + 0.216132i
\(63\) 4.98970 4.90995i 0.628643 0.618595i
\(64\) 4.59293 6.55019i 0.574116 0.818774i
\(65\) 10.1039 5.83347i 1.25323 0.723552i
\(66\) 13.4748 3.97341i 1.65863 0.489093i
\(67\) −0.808279 + 0.216578i −0.0987470 + 0.0264592i −0.307854 0.951434i \(-0.599611\pi\)
0.209107 + 0.977893i \(0.432944\pi\)
\(68\) 8.58449 9.64205i 1.04102 1.16927i
\(69\) −0.0773998 + 0.0316954i −0.00931784 + 0.00381568i
\(70\) 3.89713 + 8.68757i 0.465796 + 1.03836i
\(71\) 1.04372i 0.123867i 0.998080 + 0.0619333i \(0.0197266\pi\)
−0.998080 + 0.0619333i \(0.980273\pi\)
\(72\) −5.67992 6.30385i −0.669385 0.742916i
\(73\) 4.74654i 0.555540i 0.960648 + 0.277770i \(0.0895953\pi\)
−0.960648 + 0.277770i \(0.910405\pi\)
\(74\) −0.893723 + 0.400912i −0.103893 + 0.0466051i
\(75\) −0.774762 + 5.70717i −0.0894618 + 0.659008i
\(76\) 0.246575 + 4.24960i 0.0282840 + 0.487462i
\(77\) 12.9269 3.46374i 1.47315 0.394730i
\(78\) −6.82664 + 7.17610i −0.772965 + 0.812533i
\(79\) −7.29908 + 4.21413i −0.821211 + 0.474126i −0.850834 0.525435i \(-0.823903\pi\)
0.0296228 + 0.999561i \(0.490569\pi\)
\(80\) 10.7279 4.25645i 1.19941 0.475886i
\(81\) −7.86571 + 4.37385i −0.873968 + 0.485983i
\(82\) −0.0277489 0.0340716i −0.00306435 0.00376258i
\(83\) 11.9789 + 3.20973i 1.31485 + 0.352313i 0.847047 0.531519i \(-0.178378\pi\)
0.467805 + 0.883832i \(0.345045\pi\)
\(84\) −5.25932 6.13833i −0.573839 0.669746i
\(85\) 17.9900 4.82041i 1.95129 0.522847i
\(86\) −3.25987 + 4.51334i −0.351521 + 0.486685i
\(87\) 5.52169 + 7.25633i 0.591987 + 0.777961i
\(88\) −3.50580 15.8383i −0.373720 1.68837i
\(89\) −2.85193 −0.302304 −0.151152 0.988511i \(-0.548298\pi\)
−0.151152 + 0.988511i \(0.548298\pi\)
\(90\) −1.85141 12.1007i −0.195156 1.27553i
\(91\) −6.67175 + 6.67175i −0.699390 + 0.699390i
\(92\) 0.0303576 + 0.0916816i 0.00316500 + 0.00955846i
\(93\) 3.05441 1.25079i 0.316727 0.129701i
\(94\) 0.255023 0.0411237i 0.0263036 0.00424158i
\(95\) −3.07055 + 5.31835i −0.315032 + 0.545651i
\(96\) −7.71340 + 6.04180i −0.787246 + 0.616639i
\(97\) 3.29818 + 5.71262i 0.334880 + 0.580028i 0.983462 0.181116i \(-0.0579710\pi\)
−0.648582 + 0.761145i \(0.724638\pi\)
\(98\) 1.38875 + 1.70519i 0.140285 + 0.172250i
\(99\) −17.2052 0.138600i −1.72918 0.0139299i
\(100\) 6.51283 + 1.34628i 0.651283 + 0.134628i
\(101\) −8.02745 2.15095i −0.798761 0.214027i −0.163721 0.986507i \(-0.552350\pi\)
−0.635040 + 0.772479i \(0.719016\pi\)
\(102\) −13.4914 + 8.24476i −1.33585 + 0.816353i
\(103\) 3.39607 5.88217i 0.334625 0.579588i −0.648788 0.760970i \(-0.724724\pi\)
0.983413 + 0.181382i \(0.0580570\pi\)
\(104\) 7.72378 + 8.43460i 0.757379 + 0.827081i
\(105\) −1.47556 11.5678i −0.144000 1.12891i
\(106\) −5.41953 12.0813i −0.526391 1.17344i
\(107\) −11.9162 11.9162i −1.15198 1.15198i −0.986155 0.165828i \(-0.946970\pi\)
−0.165828 0.986155i \(-0.553030\pi\)
\(108\) 4.41308 + 9.40876i 0.424649 + 0.905358i
\(109\) −0.518803 + 0.518803i −0.0496923 + 0.0496923i −0.731516 0.681824i \(-0.761187\pi\)
0.681824 + 0.731516i \(0.261187\pi\)
\(110\) 8.32558 21.8717i 0.793813 2.08538i
\(111\) 1.19003 0.151796i 0.112952 0.0144079i
\(112\) −7.48928 + 5.57046i −0.707671 + 0.526359i
\(113\) −9.60012 5.54263i −0.903103 0.521407i −0.0248974 0.999690i \(-0.507926\pi\)
−0.878206 + 0.478283i \(0.841259\pi\)
\(114\) 1.22328 5.06788i 0.114570 0.474650i
\(115\) −0.0360611 + 0.134582i −0.00336271 + 0.0125498i
\(116\) 8.79804 5.78380i 0.816878 0.537012i
\(117\) 10.5538 5.98043i 0.975703 0.552891i
\(118\) −0.619114 + 6.05343i −0.0569941 + 0.557263i
\(119\) −13.0442 + 7.53107i −1.19576 + 0.690372i
\(120\) −14.0867 + 1.17060i −1.28594 + 0.106861i
\(121\) −18.9599 10.9465i −1.72362 0.995135i
\(122\) −5.48453 + 7.59341i −0.496546 + 0.687475i
\(123\) 0.0203946 + 0.0498033i 0.00183892 + 0.00449062i
\(124\) −1.19800 3.61801i −0.107583 0.324907i
\(125\) −3.41689 3.41689i −0.305616 0.305616i
\(126\) 3.97908 + 9.06511i 0.354485 + 0.807584i
\(127\) 12.0823i 1.07213i −0.844176 0.536067i \(-0.819910\pi\)
0.844176 0.536067i \(-0.180090\pi\)
\(128\) 6.34661 + 9.36593i 0.560966 + 0.827839i
\(129\) 5.42636 4.12917i 0.477764 0.363553i
\(130\) 2.62670 + 16.2891i 0.230377 + 1.42865i
\(131\) −0.702002 2.61991i −0.0613342 0.228902i 0.928454 0.371447i \(-0.121138\pi\)
−0.989788 + 0.142545i \(0.954472\pi\)
\(132\) −1.52768 + 19.8086i −0.132967 + 1.72412i
\(133\) 1.28541 4.79721i 0.111459 0.415971i
\(134\) 0.120404 1.17726i 0.0104014 0.101700i
\(135\) −2.13641 + 14.8397i −0.183873 + 1.27720i
\(136\) 8.42490 + 16.1971i 0.722429 + 1.38889i
\(137\) 7.51859 + 13.0226i 0.642356 + 1.11259i 0.984905 + 0.173094i \(0.0553765\pi\)
−0.342549 + 0.939500i \(0.611290\pi\)
\(138\) −0.00295098 0.118245i −0.000251204 0.0100657i
\(139\) 2.22117 + 8.28951i 0.188397 + 0.703107i 0.993878 + 0.110485i \(0.0352405\pi\)
−0.805481 + 0.592622i \(0.798093\pi\)
\(140\) −13.4430 + 0.780005i −1.13614 + 0.0659224i
\(141\) −0.313497 0.0425579i −0.0264012 0.00358402i
\(142\) −1.37948 0.525106i −0.115763 0.0440659i
\(143\) 23.1905 1.93928
\(144\) 11.1894 4.33558i 0.932450 0.361298i
\(145\) 15.1898 1.26144
\(146\) −6.27347 2.38804i −0.519196 0.197635i
\(147\) −1.02069 2.49251i −0.0841852 0.205579i
\(148\) −0.0802420 1.38293i −0.00659585 0.113676i
\(149\) −0.261866 0.977298i −0.0214529 0.0800634i 0.954369 0.298628i \(-0.0965291\pi\)
−0.975822 + 0.218565i \(0.929862\pi\)
\(150\) −7.15335 3.89534i −0.584069 0.318053i
\(151\) −8.29411 14.3658i −0.674965 1.16907i −0.976479 0.215612i \(-0.930825\pi\)
0.301514 0.953462i \(-0.402508\pi\)
\(152\) −5.74073 1.81212i −0.465634 0.146983i
\(153\) 18.7446 4.86111i 1.51541 0.392997i
\(154\) −1.92564 + 18.8280i −0.155172 + 1.51720i
\(155\) 1.42307 5.31096i 0.114304 0.426587i
\(156\) −6.05006 12.6331i −0.484392 1.01146i
\(157\) −5.68871 21.2306i −0.454009 1.69438i −0.690986 0.722868i \(-0.742823\pi\)
0.236977 0.971515i \(-0.423843\pi\)
\(158\) −1.89754 11.7673i −0.150960 0.936160i
\(159\) 2.05198 + 16.0868i 0.162733 + 1.27576i
\(160\) 0.228428 + 16.3204i 0.0180588 + 1.29024i
\(161\) 0.112678i 0.00888030i
\(162\) −1.82357 12.5966i −0.143273 0.989683i
\(163\) 0.153221 + 0.153221i 0.0120012 + 0.0120012i 0.713082 0.701081i \(-0.247299\pi\)
−0.701081 + 0.713082i \(0.747299\pi\)
\(164\) 0.0589931 0.0195338i 0.00460658 0.00152533i
\(165\) −17.5400 + 22.6689i −1.36548 + 1.76477i
\(166\) −10.2690 + 14.2176i −0.797028 + 1.10350i
\(167\) 1.83025 + 1.05669i 0.141629 + 0.0817694i 0.569140 0.822241i \(-0.307276\pi\)
−0.427511 + 0.904010i \(0.640610\pi\)
\(168\) 10.7590 3.86296i 0.830077 0.298034i
\(169\) −2.90111 + 1.67495i −0.223162 + 0.128843i
\(170\) −2.67987 + 26.2025i −0.205536 + 2.00964i
\(171\) −3.23700 + 5.50377i −0.247539 + 0.420884i
\(172\) −4.32518 6.57926i −0.329792 0.501664i
\(173\) 0.582108 2.17246i 0.0442568 0.165169i −0.940261 0.340456i \(-0.889419\pi\)
0.984517 + 0.175287i \(0.0560853\pi\)
\(174\) −12.3687 + 3.64725i −0.937668 + 0.276497i
\(175\) −6.71976 3.87966i −0.507966 0.293274i
\(176\) 22.6973 + 3.33484i 1.71087 + 0.251373i
\(177\) 2.87969 6.87374i 0.216451 0.516662i
\(178\) 1.43484 3.76938i 0.107546 0.282527i
\(179\) −4.33235 + 4.33235i −0.323815 + 0.323815i −0.850229 0.526413i \(-0.823536\pi\)
0.526413 + 0.850229i \(0.323536\pi\)
\(180\) 16.9249 + 3.64099i 1.26151 + 0.271384i
\(181\) −13.9507 13.9507i −1.03695 1.03695i −0.999291 0.0376558i \(-0.988011\pi\)
−0.0376558 0.999291i \(-0.511989\pi\)
\(182\) −5.46139 12.1747i −0.404825 0.902446i
\(183\) 9.12951 6.94708i 0.674873 0.513543i
\(184\) −0.136448 0.00600249i −0.0100591 0.000442509i
\(185\) 0.999240 1.73073i 0.0734656 0.127246i
\(186\) 0.116454 + 4.66628i 0.00853880 + 0.342148i
\(187\) 35.7589 + 9.58157i 2.61495 + 0.700674i
\(188\) −0.0739517 + 0.357752i −0.00539348 + 0.0260917i
\(189\) −1.43725 12.0394i −0.104545 0.875741i
\(190\) −5.48441 6.73406i −0.397881 0.488540i
\(191\) −3.83161 6.63654i −0.277246 0.480203i 0.693454 0.720501i \(-0.256088\pi\)
−0.970699 + 0.240298i \(0.922755\pi\)
\(192\) −4.10472 13.2345i −0.296233 0.955116i
\(193\) −3.79037 + 6.56511i −0.272836 + 0.472567i −0.969587 0.244747i \(-0.921295\pi\)
0.696751 + 0.717314i \(0.254628\pi\)
\(194\) −9.20969 + 1.48511i −0.661217 + 0.106625i
\(195\) 2.71831 20.0240i 0.194662 1.43395i
\(196\) −2.95243 + 0.977611i −0.210888 + 0.0698293i
\(197\) −12.6000 + 12.6000i −0.897715 + 0.897715i −0.995234 0.0975188i \(-0.968909\pi\)
0.0975188 + 0.995234i \(0.468909\pi\)
\(198\) 8.83930 22.6703i 0.628181 1.61110i
\(199\) 23.1095 1.63819 0.819096 0.573656i \(-0.194476\pi\)
0.819096 + 0.573656i \(0.194476\pi\)
\(200\) −5.05605 + 7.93065i −0.357517 + 0.560782i
\(201\) −0.560037 + 1.33679i −0.0395020 + 0.0942902i
\(202\) 6.88160 9.52767i 0.484187 0.670365i
\(203\) −11.8657 + 3.17941i −0.832811 + 0.223151i
\(204\) −4.10938 21.9796i −0.287714 1.53888i
\(205\) 0.0865974 + 0.0232037i 0.00604822 + 0.00162062i
\(206\) 6.06584 + 7.44796i 0.422627 + 0.518924i
\(207\) −0.0386199 + 0.139623i −0.00268427 + 0.00970444i
\(208\) −15.0339 + 5.96494i −1.04241 + 0.413594i
\(209\) −10.5713 + 6.10336i −0.731234 + 0.422178i
\(210\) 16.0315 + 3.86967i 1.10628 + 0.267033i
\(211\) −12.7862 + 3.42605i −0.880238 + 0.235859i −0.670510 0.741901i \(-0.733925\pi\)
−0.209728 + 0.977760i \(0.567258\pi\)
\(212\) 18.6945 1.08471i 1.28394 0.0744982i
\(213\) 1.42976 + 1.10627i 0.0979654 + 0.0758004i
\(214\) 21.7448 9.75441i 1.48644 0.666798i
\(215\) 11.3591i 0.774683i
\(216\) −14.6558 + 1.09909i −0.997200 + 0.0747839i
\(217\) 4.44660i 0.301855i
\(218\) −0.424684 0.946716i −0.0287632 0.0641197i
\(219\) 6.50214 + 5.03100i 0.439374 + 0.339964i
\(220\) 24.7190 + 22.0078i 1.66655 + 1.48376i
\(221\) −25.2110 + 6.75527i −1.69588 + 0.454409i
\(222\) −0.398087 + 1.64922i −0.0267179 + 0.110689i
\(223\) −14.1219 + 8.15328i −0.945672 + 0.545984i −0.891734 0.452561i \(-0.850511\pi\)
−0.0539380 + 0.998544i \(0.517177\pi\)
\(224\) −3.59450 12.7011i −0.240168 0.848629i
\(225\) 6.99689 + 7.11054i 0.466460 + 0.474036i
\(226\) 12.1556 9.89987i 0.808578 0.658530i
\(227\) −22.2456 5.96068i −1.47649 0.395624i −0.571339 0.820714i \(-0.693576\pi\)
−0.905151 + 0.425090i \(0.860242\pi\)
\(228\) 6.08275 + 4.16651i 0.402840 + 0.275934i
\(229\) 18.8781 5.05838i 1.24750 0.334267i 0.426131 0.904661i \(-0.359876\pi\)
0.821371 + 0.570394i \(0.193209\pi\)
\(230\) −0.159733 0.115371i −0.0105325 0.00760736i
\(231\) 8.95671 21.3794i 0.589308 1.40666i
\(232\) 3.21802 + 14.5382i 0.211274 + 0.954482i
\(233\) 18.4018 1.20554 0.602771 0.797914i \(-0.294063\pi\)
0.602771 + 0.797914i \(0.294063\pi\)
\(234\) 2.59455 + 16.9578i 0.169611 + 1.10857i
\(235\) −0.372668 + 0.372668i −0.0243102 + 0.0243102i
\(236\) −7.68930 3.86383i −0.500531 0.251514i
\(237\) −1.96372 + 14.4655i −0.127558 + 0.939634i
\(238\) −3.39110 21.0294i −0.219812 1.36313i
\(239\) −12.4328 + 21.5343i −0.804212 + 1.39294i 0.112609 + 0.993639i \(0.464079\pi\)
−0.916821 + 0.399298i \(0.869254\pi\)
\(240\) 5.54001 19.2073i 0.357606 1.23983i
\(241\) 0.256221 + 0.443788i 0.0165047 + 0.0285869i 0.874160 0.485638i \(-0.161413\pi\)
−0.857655 + 0.514225i \(0.828079\pi\)
\(242\) 24.0068 19.5519i 1.54322 1.25684i
\(243\) −2.34552 + 15.4110i −0.150465 + 0.988615i
\(244\) −7.27685 11.0692i −0.465853 0.708633i
\(245\) −4.33395 1.16128i −0.276886 0.0741914i
\(246\) −0.0760856 + 0.00189883i −0.00485104 + 0.000121065i
\(247\) 4.30304 7.45308i 0.273796 0.474228i
\(248\) 5.38463 + 0.236875i 0.341924 + 0.0150416i
\(249\) 17.0937 13.0074i 1.08327 0.824310i
\(250\) 6.23516 2.79701i 0.394346 0.176899i
\(251\) 7.88443 + 7.88443i 0.497661 + 0.497661i 0.910709 0.413048i \(-0.135536\pi\)
−0.413048 + 0.910709i \(0.635536\pi\)
\(252\) −13.9832 + 0.698378i −0.880861 + 0.0439937i
\(253\) −0.195830 + 0.195830i −0.0123117 + 0.0123117i
\(254\) 15.9692 + 6.07875i 1.00199 + 0.381415i
\(255\) 12.4649 29.7533i 0.780580 1.86322i
\(256\) −15.5720 + 3.67618i −0.973247 + 0.229761i
\(257\) 10.6490 + 6.14820i 0.664266 + 0.383514i 0.793900 0.608048i \(-0.208047\pi\)
−0.129635 + 0.991562i \(0.541380\pi\)
\(258\) 2.72745 + 9.24942i 0.169803 + 0.575844i
\(259\) −0.418306 + 1.56114i −0.0259923 + 0.0970046i
\(260\) −22.8508 4.72353i −1.41714 0.292941i
\(261\) 15.7928 + 0.127223i 0.977553 + 0.00787492i
\(262\) 3.81590 + 0.390272i 0.235747 + 0.0241111i
\(263\) −8.46535 + 4.88747i −0.521996 + 0.301375i −0.737751 0.675073i \(-0.764112\pi\)
0.215755 + 0.976448i \(0.430779\pi\)
\(264\) −25.4124 11.9851i −1.56402 0.737630i
\(265\) 23.3961 + 13.5077i 1.43721 + 0.829773i
\(266\) 5.69375 + 4.11245i 0.349106 + 0.252150i
\(267\) −3.02285 + 3.90677i −0.184995 + 0.239091i
\(268\) 1.49540 + 0.751431i 0.0913463 + 0.0459010i
\(269\) −5.64229 5.64229i −0.344016 0.344016i 0.513859 0.857875i \(-0.328216\pi\)
−0.857875 + 0.513859i \(0.828216\pi\)
\(270\) −18.5388 10.2897i −1.12823 0.626213i
\(271\) 11.0524i 0.671386i 0.941971 + 0.335693i \(0.108971\pi\)
−0.941971 + 0.335693i \(0.891029\pi\)
\(272\) −25.6463 + 2.98621i −1.55504 + 0.181065i
\(273\) 2.06783 + 16.2110i 0.125151 + 0.981137i
\(274\) −20.9946 + 3.38548i −1.26833 + 0.204524i
\(275\) 4.93598 + 18.4213i 0.297651 + 1.11085i
\(276\) 0.157769 + 0.0555902i 0.00949657 + 0.00334614i
\(277\) −6.77180 + 25.2727i −0.406878 + 1.51849i 0.393687 + 0.919245i \(0.371199\pi\)
−0.800565 + 0.599246i \(0.795467\pi\)
\(278\) −12.0737 1.23484i −0.724133 0.0740607i
\(279\) 1.52405 5.50989i 0.0912423 0.329869i
\(280\) 5.73240 18.1600i 0.342576 1.08527i
\(281\) 12.8442 + 22.2468i 0.766219 + 1.32713i 0.939600 + 0.342275i \(0.111198\pi\)
−0.173381 + 0.984855i \(0.555469\pi\)
\(282\) 0.213972 0.392936i 0.0127419 0.0233990i
\(283\) −8.40360 31.3627i −0.499542 1.86432i −0.502937 0.864323i \(-0.667747\pi\)
0.00339463 0.999994i \(-0.498919\pi\)
\(284\) 1.38806 1.55906i 0.0823663 0.0925133i
\(285\) 4.03088 + 9.84335i 0.238768 + 0.583070i
\(286\) −11.6674 + 30.6507i −0.689906 + 1.81241i
\(287\) −0.0725036 −0.00427975
\(288\) 0.100803 + 16.9703i 0.00593990 + 0.999982i
\(289\) −24.6657 −1.45092
\(290\) −7.64216 + 20.0763i −0.448763 + 1.17892i
\(291\) 11.3214 + 1.53690i 0.663672 + 0.0900950i
\(292\) 6.31251 7.09018i 0.369412 0.414921i
\(293\) −5.91051 22.0583i −0.345296 1.28866i −0.892266 0.451510i \(-0.850886\pi\)
0.546971 0.837152i \(-0.315781\pi\)
\(294\) 3.80787 0.0950308i 0.222079 0.00554231i
\(295\) −6.20747 10.7517i −0.361413 0.625986i
\(296\) 1.86819 + 0.589713i 0.108586 + 0.0342764i
\(297\) −18.4262 + 23.4219i −1.06919 + 1.35908i
\(298\) 1.42344 + 0.145582i 0.0824576 + 0.00843335i
\(299\) 0.0505356 0.188601i 0.00292255 0.0109071i
\(300\) 8.74739 7.49477i 0.505031 0.432711i
\(301\) 2.37760 + 8.87331i 0.137042 + 0.511449i
\(302\) 23.1601 3.73468i 1.33271 0.214907i
\(303\) −11.4551 + 8.71670i −0.658076 + 0.500761i
\(304\) 5.28330 6.67579i 0.303018 0.382883i
\(305\) 19.1110i 1.09429i
\(306\) −3.00572 + 27.2203i −0.171826 + 1.55608i
\(307\) 10.3124 + 10.3124i 0.588560 + 0.588560i 0.937241 0.348681i \(-0.113370\pi\)
−0.348681 + 0.937241i \(0.613370\pi\)
\(308\) −23.9161 12.0177i −1.36275 0.684771i
\(309\) −4.45821 10.8869i −0.253619 0.619333i
\(310\) 6.30351 + 4.55287i 0.358015 + 0.258585i
\(311\) −0.887812 0.512578i −0.0503432 0.0290656i 0.474617 0.880192i \(-0.342587\pi\)
−0.524960 + 0.851127i \(0.675920\pi\)
\(312\) 19.7410 1.64047i 1.11761 0.0928735i
\(313\) −9.53399 + 5.50445i −0.538893 + 0.311130i −0.744630 0.667477i \(-0.767374\pi\)
0.205737 + 0.978607i \(0.434041\pi\)
\(314\) 30.9224 + 3.16259i 1.74505 + 0.178475i
\(315\) −17.4104 10.2398i −0.980967 0.576947i
\(316\) 16.5075 + 3.41231i 0.928621 + 0.191957i
\(317\) 4.91593 18.3465i 0.276106 1.03044i −0.678990 0.734147i \(-0.737582\pi\)
0.955096 0.296295i \(-0.0957512\pi\)
\(318\) −22.2942 5.38134i −1.25020 0.301771i
\(319\) 26.1478 + 15.0965i 1.46400 + 0.845239i
\(320\) −21.6856 7.90908i −1.21226 0.442131i
\(321\) −28.9540 + 3.69329i −1.61605 + 0.206139i
\(322\) 0.148927 + 0.0566898i 0.00829935 + 0.00315920i
\(323\) 9.71452 9.71452i 0.540531 0.540531i
\(324\) 17.5663 + 3.92730i 0.975908 + 0.218183i
\(325\) −9.50755 9.50755i −0.527384 0.527384i
\(326\) −0.279598 + 0.125424i −0.0154855 + 0.00694660i
\(327\) 0.160797 + 1.26059i 0.00889210 + 0.0697107i
\(328\) −0.00386234 + 0.0877985i −0.000213262 + 0.00484786i
\(329\) 0.213111 0.369119i 0.0117492 0.0203502i
\(330\) −21.1368 34.5874i −1.16354 1.90398i
\(331\) −18.4486 4.94329i −1.01403 0.271708i −0.286716 0.958015i \(-0.592564\pi\)
−0.727312 + 0.686307i \(0.759230\pi\)
\(332\) −13.6248 20.7255i −0.747761 1.13746i
\(333\) 1.05341 1.79108i 0.0577263 0.0981504i
\(334\) −2.31744 + 1.88739i −0.126805 + 0.103274i
\(335\) 1.20722 + 2.09097i 0.0659575 + 0.114242i
\(336\) −0.307329 + 16.1637i −0.0167662 + 0.881800i
\(337\) −14.6805 + 25.4274i −0.799699 + 1.38512i 0.120113 + 0.992760i \(0.461674\pi\)
−0.919812 + 0.392359i \(0.871659\pi\)
\(338\) −0.754201 4.67707i −0.0410231 0.254399i
\(339\) −17.7682 + 7.27610i −0.965034 + 0.395184i
\(340\) −33.2835 16.7248i −1.80505 0.907027i
\(341\) 7.72800 7.72800i 0.418495 0.418495i
\(342\) −5.64574 7.04734i −0.305287 0.381076i
\(343\) 19.9627 1.07788
\(344\) 10.8718 2.40647i 0.586170 0.129748i
\(345\) 0.146137 + 0.192046i 0.00786776 + 0.0103394i
\(346\) 2.57846 + 1.86236i 0.138619 + 0.100121i
\(347\) 20.5081 5.49514i 1.10093 0.294995i 0.337789 0.941222i \(-0.390321\pi\)
0.763145 + 0.646227i \(0.223654\pi\)
\(348\) 1.40227 18.1826i 0.0751698 0.974690i
\(349\) 24.7859 + 6.64137i 1.32676 + 0.355504i 0.851506 0.524345i \(-0.175690\pi\)
0.475254 + 0.879849i \(0.342356\pi\)
\(350\) 8.50851 6.92958i 0.454799 0.370402i
\(351\) 2.99394 20.7962i 0.159805 1.11002i
\(352\) −15.8269 + 28.3211i −0.843577 + 1.50952i
\(353\) 19.1119 11.0343i 1.01723 0.587296i 0.103927 0.994585i \(-0.466859\pi\)
0.913299 + 0.407289i \(0.133526\pi\)
\(354\) 7.63619 + 7.26433i 0.405859 + 0.386095i
\(355\) 2.90888 0.779432i 0.154387 0.0413680i
\(356\) 4.26009 + 3.79284i 0.225784 + 0.201020i
\(357\) −3.50937 + 25.8513i −0.185735 + 1.36819i
\(358\) −3.54640 7.90571i −0.187433 0.417830i
\(359\) 13.1522i 0.694145i 0.937838 + 0.347073i \(0.112824\pi\)
−0.937838 + 0.347073i \(0.887176\pi\)
\(360\) −13.3274 + 20.5378i −0.702415 + 1.08243i
\(361\) 14.4700i 0.761581i
\(362\) 25.4573 11.4198i 1.33801 0.600212i
\(363\) −35.0914 + 14.3700i −1.84182 + 0.754231i
\(364\) 18.8389 1.09309i 0.987426 0.0572935i
\(365\) 13.2288 3.54464i 0.692425 0.185535i
\(366\) 4.58876 + 15.5616i 0.239858 + 0.813417i
\(367\) 5.13483 2.96459i 0.268036 0.154751i −0.359959 0.932968i \(-0.617209\pi\)
0.627995 + 0.778218i \(0.283876\pi\)
\(368\) 0.0765822 0.177323i 0.00399212 0.00924362i
\(369\) 0.0898410 + 0.0248502i 0.00467694 + 0.00129365i
\(370\) 1.78478 + 2.19144i 0.0927860 + 0.113928i
\(371\) −21.1035 5.65466i −1.09564 0.293575i
\(372\) −6.22599 2.19374i −0.322803 0.113740i
\(373\) −34.7509 + 9.31148i −1.79933 + 0.482130i −0.993874 0.110520i \(-0.964748\pi\)
−0.805460 + 0.592650i \(0.798082\pi\)
\(374\) −30.6546 + 42.4418i −1.58511 + 2.19461i
\(375\) −8.30237 + 1.05903i −0.428732 + 0.0546878i
\(376\) −0.435633 0.277731i −0.0224661 0.0143229i
\(377\) −21.2868 −1.09633
\(378\) 16.6356 + 4.15757i 0.855642 + 0.213842i
\(379\) 4.54655 4.54655i 0.233540 0.233540i −0.580628 0.814169i \(-0.697193\pi\)
0.814169 + 0.580628i \(0.197193\pi\)
\(380\) 11.6596 3.86074i 0.598127 0.198052i
\(381\) −16.5512 12.8064i −0.847945 0.656094i
\(382\) 10.6992 1.72530i 0.547420 0.0882742i
\(383\) 16.4216 28.4430i 0.839104 1.45337i −0.0515410 0.998671i \(-0.516413\pi\)
0.890645 0.454700i \(-0.150253\pi\)
\(384\) 19.5571 + 1.23322i 0.998018 + 0.0629323i
\(385\) −19.3071 33.4409i −0.983983 1.70431i
\(386\) −6.77010 8.31269i −0.344589 0.423105i
\(387\) 0.0951387 11.8100i 0.00483617 0.600338i
\(388\) 2.67064 12.9196i 0.135581 0.655893i
\(389\) 31.5961 + 8.46615i 1.60199 + 0.429251i 0.945641 0.325211i \(-0.105435\pi\)
0.656344 + 0.754462i \(0.272102\pi\)
\(390\) 25.0981 + 13.6671i 1.27089 + 0.692061i
\(391\) 0.155848 0.269937i 0.00788159 0.0136513i
\(392\) 0.193299 4.39407i 0.00976307 0.221934i
\(393\) −4.33301 1.81527i −0.218571 0.0915683i
\(394\) −10.3142 22.9926i −0.519621 1.15835i
\(395\) 17.1958 + 17.1958i 0.865213 + 0.865213i
\(396\) 25.5160 + 23.0885i 1.28223 + 1.16024i
\(397\) −26.7370 + 26.7370i −1.34189 + 1.34189i −0.447720 + 0.894174i \(0.647764\pi\)
−0.894174 + 0.447720i \(0.852236\pi\)
\(398\) −11.6267 + 30.5438i −0.582792 + 1.53102i
\(399\) −5.20911 6.84556i −0.260782 0.342706i
\(400\) −7.93815 10.6726i −0.396907 0.533628i
\(401\) 2.15088 + 1.24181i 0.107410 + 0.0620130i 0.552743 0.833352i \(-0.313581\pi\)
−0.445333 + 0.895365i \(0.646915\pi\)
\(402\) −1.48507 1.41276i −0.0740688 0.0704618i
\(403\) −1.99427 + 7.44272i −0.0993418 + 0.370748i
\(404\) 9.13047 + 13.8889i 0.454258 + 0.690996i
\(405\) 18.0641 + 18.6557i 0.897611 + 0.927010i
\(406\) 1.76757 17.2825i 0.0877229 0.857715i
\(407\) 3.44020 1.98620i 0.170524 0.0984522i
\(408\) 31.1178 + 5.62681i 1.54056 + 0.278568i
\(409\) −6.04923 3.49252i −0.299115 0.172694i 0.342930 0.939361i \(-0.388581\pi\)
−0.642045 + 0.766667i \(0.721914\pi\)
\(410\) −0.0742363 + 0.102781i −0.00366627 + 0.00507601i
\(411\) 25.8084 + 3.50355i 1.27304 + 0.172818i
\(412\) −12.8957 + 4.27004i −0.635327 + 0.210370i
\(413\) 7.09951 + 7.09951i 0.349344 + 0.349344i
\(414\) −0.165108 0.121289i −0.00811464 0.00596105i
\(415\) 35.7825i 1.75649i
\(416\) −0.320116 22.8713i −0.0156950 1.12136i
\(417\) 13.7098 + 5.74361i 0.671374 + 0.281266i
\(418\) −2.74823 17.0427i −0.134420 0.833588i
\(419\) 7.82032 + 29.1858i 0.382048 + 1.42582i 0.842768 + 0.538276i \(0.180924\pi\)
−0.460721 + 0.887545i \(0.652409\pi\)
\(420\) −13.1802 + 19.2419i −0.643126 + 0.938910i
\(421\) 8.37195 31.2445i 0.408024 1.52277i −0.390386 0.920651i \(-0.627659\pi\)
0.798410 0.602114i \(-0.205675\pi\)
\(422\) 1.90468 18.6231i 0.0927185 0.906560i
\(423\) −0.390584 + 0.384342i −0.0189909 + 0.0186873i
\(424\) −7.97174 + 25.2541i −0.387142 + 1.22645i
\(425\) −10.7321 18.5885i −0.520584 0.901677i
\(426\) −2.18148 + 1.33313i −0.105693 + 0.0645903i
\(427\) 4.00016 + 14.9288i 0.193581 + 0.722455i
\(428\) 1.95233 + 33.6475i 0.0943695 + 1.62641i
\(429\) 24.5803 31.7679i 1.18675 1.53377i
\(430\) 15.0133 + 5.71488i 0.724003 + 0.275596i
\(431\) −30.2342 −1.45633 −0.728164 0.685403i \(-0.759626\pi\)
−0.728164 + 0.685403i \(0.759626\pi\)
\(432\) 5.92082 19.9235i 0.284866 0.958567i
\(433\) 34.5522 1.66047 0.830237 0.557410i \(-0.188205\pi\)
0.830237 + 0.557410i \(0.188205\pi\)
\(434\) −5.87705 2.23713i −0.282107 0.107386i
\(435\) 16.1002 20.8081i 0.771944 0.997670i
\(436\) 1.46493 0.0849999i 0.0701576 0.00407076i
\(437\) 0.0266003 + 0.0992738i 0.00127247 + 0.00474891i
\(438\) −9.92075 + 6.06269i −0.474032 + 0.289687i
\(439\) 1.65747 + 2.87082i 0.0791066 + 0.137017i 0.902865 0.429925i \(-0.141460\pi\)
−0.823758 + 0.566941i \(0.808127\pi\)
\(440\) −41.5240 + 21.5986i −1.97958 + 1.02967i
\(441\) −4.49629 1.24368i −0.214109 0.0592229i
\(442\) 3.75553 36.7200i 0.178633 1.74659i
\(443\) 4.14656 15.4752i 0.197009 0.735248i −0.794729 0.606965i \(-0.792387\pi\)
0.991738 0.128283i \(-0.0409466\pi\)
\(444\) −1.97949 1.35589i −0.0939424 0.0643478i
\(445\) 2.12977 + 7.94843i 0.100961 + 0.376792i
\(446\) −3.67127 22.7668i −0.173840 1.07804i
\(447\) −1.61633 0.677147i −0.0764499 0.0320279i
\(448\) 18.5954 + 1.63923i 0.878552 + 0.0774465i
\(449\) 11.1511i 0.526253i 0.964761 + 0.263126i \(0.0847536\pi\)
−0.964761 + 0.263126i \(0.915246\pi\)
\(450\) −12.9182 + 5.67037i −0.608969 + 0.267304i
\(451\) 0.126008 + 0.126008i 0.00593349 + 0.00593349i
\(452\) 6.96900 + 21.0467i 0.327794 + 0.989955i
\(453\) −28.4705 3.86494i −1.33766 0.181591i
\(454\) 19.0702 26.4030i 0.895009 1.23915i
\(455\) 23.5768 + 13.6121i 1.10530 + 0.638143i
\(456\) −8.56715 + 5.94332i −0.401194 + 0.278322i
\(457\) 20.6193 11.9046i 0.964530 0.556872i 0.0669658 0.997755i \(-0.478668\pi\)
0.897564 + 0.440884i \(0.145335\pi\)
\(458\) −2.81216 + 27.4961i −0.131404 + 1.28481i
\(459\) 13.2089 30.8301i 0.616540 1.43903i
\(460\) 0.232849 0.153074i 0.0108567 0.00713712i
\(461\) 3.10783 11.5986i 0.144746 0.540199i −0.855021 0.518594i \(-0.826456\pi\)
0.999767 0.0216051i \(-0.00687764\pi\)
\(462\) 23.7509 + 22.5943i 1.10499 + 1.05118i
\(463\) 11.7247 + 6.76924i 0.544892 + 0.314593i 0.747059 0.664758i \(-0.231465\pi\)
−0.202168 + 0.979351i \(0.564799\pi\)
\(464\) −20.8341 3.06110i −0.967201 0.142108i
\(465\) −5.76697 7.57868i −0.267437 0.351453i
\(466\) −9.25816 + 24.3216i −0.428876 + 1.12668i
\(467\) 11.6000 11.6000i 0.536784 0.536784i −0.385799 0.922583i \(-0.626074\pi\)
0.922583 + 0.385799i \(0.126074\pi\)
\(468\) −23.7184 5.10245i −1.09638 0.235861i
\(469\) −1.38070 1.38070i −0.0637549 0.0637549i
\(470\) −0.305060 0.680047i −0.0140714 0.0313682i
\(471\) −35.1128 14.7102i −1.61791 0.677808i
\(472\) 8.97538 8.21898i 0.413125 0.378309i
\(473\) 11.2893 19.5536i 0.519081 0.899075i
\(474\) −18.1310 9.87319i −0.832784 0.453491i
\(475\) 6.83624 + 1.83176i 0.313668 + 0.0840471i
\(476\) 29.5006 + 6.09813i 1.35216 + 0.279507i
\(477\) 24.2118 + 14.2399i 1.10858 + 0.652002i
\(478\) −22.2067 27.2665i −1.01571 1.24714i
\(479\) 2.09571 + 3.62988i 0.0957555 + 0.165853i 0.909924 0.414776i \(-0.136140\pi\)
−0.814168 + 0.580629i \(0.802807\pi\)
\(480\) 22.5990 + 16.9856i 1.03150 + 0.775284i
\(481\) −1.40032 + 2.42543i −0.0638493 + 0.110590i
\(482\) −0.715461 + 0.115372i −0.0325884 + 0.00525504i
\(483\) −0.154355 0.119431i −0.00702338 0.00543432i
\(484\) 13.7635 + 41.5665i 0.625614 + 1.88939i
\(485\) 13.4582 13.4582i 0.611107 0.611107i
\(486\) −19.1886 10.8535i −0.870412 0.492325i
\(487\) −26.7152 −1.21058 −0.605291 0.796004i \(-0.706943\pi\)
−0.605291 + 0.796004i \(0.706943\pi\)
\(488\) 18.2912 4.04874i 0.828003 0.183278i
\(489\) 0.372296 0.0474890i 0.0168358 0.00214753i
\(490\) 3.71532 5.14391i 0.167841 0.232378i
\(491\) −2.54253 + 0.681269i −0.114743 + 0.0307452i −0.315733 0.948848i \(-0.602251\pi\)
0.200991 + 0.979593i \(0.435584\pi\)
\(492\) 0.0357699 0.101517i 0.00161263 0.00457675i
\(493\) −32.8236 8.79506i −1.47830 0.396109i
\(494\) 7.68580 + 9.43703i 0.345800 + 0.424592i
\(495\) 12.4623 + 48.0549i 0.560137 + 2.15991i
\(496\) −3.02214 + 6.99766i −0.135698 + 0.314204i
\(497\) −2.10917 + 1.21773i −0.0946091 + 0.0546226i
\(498\) 8.59179 + 29.1368i 0.385007 + 1.30565i
\(499\) 9.20074 2.46533i 0.411882 0.110363i −0.0469272 0.998898i \(-0.514943\pi\)
0.458809 + 0.888535i \(0.348276\pi\)
\(500\) 0.559818 + 9.64820i 0.0250358 + 0.431480i
\(501\) 3.38747 1.38718i 0.151341 0.0619745i
\(502\) −14.3876 + 6.45407i −0.642148 + 0.288059i
\(503\) 11.5953i 0.517010i 0.966010 + 0.258505i \(0.0832299\pi\)
−0.966010 + 0.258505i \(0.916770\pi\)
\(504\) 6.11208 18.8329i 0.272254 0.838886i
\(505\) 23.9791i 1.06706i
\(506\) −0.160304 0.357352i −0.00712636 0.0158863i
\(507\) −0.780505 + 5.74948i −0.0346634 + 0.255343i
\(508\) −16.0685 + 18.0481i −0.712925 + 0.800754i
\(509\) 11.1171 2.97882i 0.492757 0.132034i −0.00387934 0.999992i \(-0.501235\pi\)
0.496637 + 0.867959i \(0.334568\pi\)
\(510\) 33.0536 + 31.4440i 1.46364 + 1.39236i
\(511\) −9.59190 + 5.53789i −0.424321 + 0.244982i
\(512\) 2.97563 22.4309i 0.131506 0.991315i
\(513\) 4.10846 + 10.2679i 0.181393 + 0.453339i
\(514\) −13.4837 + 10.9815i −0.594739 + 0.484373i
\(515\) −18.9300 5.07227i −0.834154 0.223511i
\(516\) −13.5971 1.04863i −0.598580 0.0461636i
\(517\) −1.01189 + 0.271135i −0.0445029 + 0.0119245i
\(518\) −1.85290 1.33830i −0.0814117 0.0588016i
\(519\) −2.35899 3.10007i −0.103548 0.136078i
\(520\) 17.7395 27.8253i 0.777931 1.22022i
\(521\) −12.7808 −0.559939 −0.279969 0.960009i \(-0.590324\pi\)
−0.279969 + 0.960009i \(0.590324\pi\)
\(522\) −8.11371 + 20.8093i −0.355127 + 0.910800i
\(523\) −22.1010 + 22.1010i −0.966409 + 0.966409i −0.999454 0.0330445i \(-0.989480\pi\)
0.0330445 + 0.999454i \(0.489480\pi\)
\(524\) −2.43565 + 4.84711i −0.106402 + 0.211747i
\(525\) −12.4371 + 5.09303i −0.542800 + 0.222278i
\(526\) −2.20074 13.6476i −0.0959567 0.595062i
\(527\) −6.15020 + 10.6525i −0.267907 + 0.464029i
\(528\) 28.6259 27.5576i 1.24578 1.19929i
\(529\) −11.4988 19.9166i −0.499949 0.865938i
\(530\) −29.6239 + 24.1266i −1.28678 + 1.04799i
\(531\) −6.36386 11.2305i −0.276168 0.487362i
\(532\) −8.29999 + 5.45638i −0.359850 + 0.236564i
\(533\) −0.121357 0.0325174i −0.00525654 0.00140849i
\(534\) −3.64273 5.96083i −0.157636 0.257950i
\(535\) −24.3121 + 42.1097i −1.05110 + 1.82056i
\(536\) −1.74552 + 1.59842i −0.0753949 + 0.0690410i
\(537\) 1.34276 + 10.5268i 0.0579445 + 0.454263i
\(538\) 10.2961 4.61869i 0.443896 0.199126i
\(539\) −6.30635 6.30635i −0.271634 0.271634i
\(540\) 22.9269 19.3257i 0.986618 0.831647i
\(541\) 4.90029 4.90029i 0.210680 0.210680i −0.593876 0.804556i \(-0.702403\pi\)
0.804556 + 0.593876i \(0.202403\pi\)
\(542\) −14.6079 5.56059i −0.627464 0.238848i
\(543\) −33.8974 + 4.32385i −1.45468 + 0.185554i
\(544\) 8.95609 35.3990i 0.383989 1.51772i
\(545\) 1.83336 + 1.05849i 0.0785324 + 0.0453407i
\(546\) −22.4664 5.42291i −0.961474 0.232079i
\(547\) 7.82071 29.1873i 0.334390 1.24796i −0.570140 0.821548i \(-0.693111\pi\)
0.904529 0.426411i \(-0.140222\pi\)
\(548\) 6.08803 29.4517i 0.260068 1.25811i
\(549\) 0.160065 19.8697i 0.00683141 0.848017i
\(550\) −26.8307 2.74412i −1.14407 0.117009i
\(551\) 9.70357 5.60236i 0.413386 0.238668i
\(552\) −0.152849 + 0.180554i −0.00650567 + 0.00768490i
\(553\) −17.0320 9.83343i −0.724275 0.418160i
\(554\) −29.9959 21.6653i −1.27440 0.920468i
\(555\) −1.31176 3.20329i −0.0556809 0.135972i
\(556\) 7.70650 15.3365i 0.326828 0.650412i
\(557\) −5.23259 5.23259i −0.221712 0.221712i 0.587507 0.809219i \(-0.300109\pi\)
−0.809219 + 0.587507i \(0.800109\pi\)
\(558\) 6.51563 + 4.78641i 0.275829 + 0.202625i
\(559\) 15.9185i 0.673281i
\(560\) 21.1179 + 16.7130i 0.892396 + 0.706252i
\(561\) 51.0275 38.8293i 2.15438 1.63937i
\(562\) −35.8655 + 5.78349i −1.51289 + 0.243962i
\(563\) −6.70709 25.0312i −0.282670 1.05494i −0.950525 0.310648i \(-0.899454\pi\)
0.667855 0.744291i \(-0.267213\pi\)
\(564\) 0.411690 + 0.480497i 0.0173353 + 0.0202326i
\(565\) −8.27830 + 30.8950i −0.348271 + 1.29976i
\(566\) 45.6799 + 4.67191i 1.92007 + 0.196375i
\(567\) −18.0159 10.7921i −0.756595 0.453227i
\(568\) 1.36226 + 2.61898i 0.0571590 + 0.109890i
\(569\) −12.2193 21.1644i −0.512259 0.887259i −0.999899 0.0142138i \(-0.995475\pi\)
0.487640 0.873045i \(-0.337858\pi\)
\(570\) −15.0379 + 0.375292i −0.629868 + 0.0157193i
\(571\) −1.41760 5.29056i −0.0593248 0.221403i 0.929899 0.367815i \(-0.119894\pi\)
−0.989224 + 0.146412i \(0.953227\pi\)
\(572\) −34.6409 30.8414i −1.44841 1.28955i
\(573\) −13.1525 1.78548i −0.549452 0.0745893i
\(574\) 0.0364774 0.0958277i 0.00152254 0.00399977i
\(575\) 0.160572 0.00669630
\(576\) −22.4802 8.40470i −0.936677 0.350196i
\(577\) 18.8956 0.786634 0.393317 0.919403i \(-0.371327\pi\)
0.393317 + 0.919403i \(0.371327\pi\)
\(578\) 12.4096 32.6005i 0.516170 1.35600i
\(579\) 4.97581 + 12.1509i 0.206788 + 0.504973i
\(580\) −22.6899 20.2012i −0.942147 0.838810i
\(581\) 7.48972 + 27.9520i 0.310726 + 1.15964i
\(582\) −7.72724 + 14.1902i −0.320304 + 0.588203i
\(583\) 26.8494 + 46.5045i 1.11199 + 1.92602i
\(584\) 6.19516 + 11.9104i 0.256358 + 0.492854i
\(585\) −24.5491 24.9479i −1.01498 1.03147i
\(586\) 32.1280 + 3.28590i 1.32720 + 0.135739i
\(587\) −10.8169 + 40.3694i −0.446463 + 1.66622i 0.265583 + 0.964088i \(0.414436\pi\)
−0.712045 + 0.702133i \(0.752231\pi\)
\(588\) −1.79018 + 5.08065i −0.0738257 + 0.209523i
\(589\) −1.04972 3.91761i −0.0432530 0.161422i
\(590\) 17.3335 2.79511i 0.713608 0.115073i
\(591\) 3.90523 + 30.6156i 0.160640 + 1.25936i
\(592\) −1.71933 + 2.17248i −0.0706639 + 0.0892885i
\(593\) 8.51816i 0.349799i −0.984586 0.174899i \(-0.944040\pi\)
0.984586 0.174899i \(-0.0559600\pi\)
\(594\) −21.6863 36.1376i −0.889798 1.48274i
\(595\) 30.7306 + 30.7306i 1.25983 + 1.25983i
\(596\) −0.908563 + 1.80811i −0.0372162 + 0.0740630i
\(597\) 24.4945 31.6571i 1.00249 1.29564i
\(598\) 0.223848 + 0.161680i 0.00915385 + 0.00661159i
\(599\) −30.1886 17.4294i −1.23347 0.712145i −0.265719 0.964051i \(-0.585609\pi\)
−0.967752 + 0.251906i \(0.918943\pi\)
\(600\) 5.50489 + 15.3321i 0.224736 + 0.625930i
\(601\) 17.4933 10.0997i 0.713565 0.411977i −0.0988146 0.995106i \(-0.531505\pi\)
0.812380 + 0.583129i \(0.198172\pi\)
\(602\) −12.9240 1.32180i −0.526743 0.0538727i
\(603\) 1.23763 + 2.18409i 0.0504004 + 0.0889430i
\(604\) −6.71599 + 32.4896i −0.273270 + 1.32198i
\(605\) −16.3493 + 61.0165i −0.664695 + 2.48067i
\(606\) −5.75765 19.5256i −0.233889 0.793172i
\(607\) −0.0948018 0.0547339i −0.00384789 0.00222158i 0.498075 0.867134i \(-0.334040\pi\)
−0.501923 + 0.864912i \(0.667374\pi\)
\(608\) 6.16528 + 10.3416i 0.250035 + 0.419406i
\(609\) −8.22148 + 19.6245i −0.333151 + 0.795224i
\(610\) 25.2589 + 9.61494i 1.02270 + 0.389298i
\(611\) 0.522253 0.522253i 0.0211281 0.0211281i
\(612\) −34.4648 17.6675i −1.39316 0.714167i
\(613\) 13.4094 + 13.4094i 0.541603 + 0.541603i 0.923999 0.382396i \(-0.124901\pi\)
−0.382396 + 0.923999i \(0.624901\pi\)
\(614\) −18.8181 + 8.44157i −0.759438 + 0.340674i
\(615\) 0.123573 0.0940328i 0.00498296 0.00379177i
\(616\) 27.9162 25.5635i 1.12477 1.02998i
\(617\) −1.92944 + 3.34190i −0.0776765 + 0.134540i −0.902247 0.431219i \(-0.858083\pi\)
0.824571 + 0.565759i \(0.191417\pi\)
\(618\) 16.6321 0.415078i 0.669042 0.0166969i
\(619\) −4.87142 1.30529i −0.195799 0.0524642i 0.159587 0.987184i \(-0.448984\pi\)
−0.355386 + 0.934720i \(0.615650\pi\)
\(620\) −9.18887 + 6.04073i −0.369034 + 0.242601i
\(621\) 0.150330 + 0.200895i 0.00603255 + 0.00806163i
\(622\) 1.12414 0.915533i 0.0450739 0.0367095i
\(623\) −3.32741 5.76324i −0.133310 0.230899i
\(624\) −7.76371 + 26.9169i −0.310797 + 1.07754i
\(625\) −15.2845 + 26.4735i −0.611379 + 1.05894i
\(626\) −2.47855 15.3704i −0.0990628 0.614324i
\(627\) −2.84408 + 20.9505i −0.113582 + 0.836682i
\(628\) −19.7374 + 39.2789i −0.787608 + 1.56740i
\(629\) −3.16137 + 3.16137i −0.126052 + 0.126052i
\(630\) 22.2933 17.8595i 0.888185 0.711541i
\(631\) 33.0513 1.31575 0.657876 0.753127i \(-0.271455\pi\)
0.657876 + 0.753127i \(0.271455\pi\)
\(632\) −12.8152 + 20.1011i −0.509759 + 0.799581i
\(633\) −8.85925 + 21.1468i −0.352123 + 0.840510i
\(634\) 21.7752 + 15.7277i 0.864805 + 0.624627i
\(635\) −33.6739 + 9.02289i −1.33631 + 0.358063i
\(636\) 18.3290 26.7587i 0.726790 1.06105i
\(637\) 6.07355 + 1.62740i 0.240643 + 0.0644801i
\(638\) −33.1082 + 26.9643i −1.31077 + 1.06753i
\(639\) 3.03089 0.786012i 0.119900 0.0310942i
\(640\) 21.3636 24.6826i 0.844472 0.975664i
\(641\) 3.03668 1.75323i 0.119942 0.0692483i −0.438829 0.898571i \(-0.644607\pi\)
0.558770 + 0.829322i \(0.311273\pi\)
\(642\) 9.68568 40.1265i 0.382263 1.58367i
\(643\) −1.39293 + 0.373234i −0.0549318 + 0.0147189i −0.286180 0.958176i \(-0.592386\pi\)
0.231248 + 0.972895i \(0.425719\pi\)
\(644\) −0.149853 + 0.168314i −0.00590504 + 0.00663251i
\(645\) −15.5605 12.0399i −0.612693 0.474069i
\(646\) 7.95216 + 17.7271i 0.312873 + 0.697465i
\(647\) 17.3282i 0.681241i 0.940201 + 0.340621i \(0.110637\pi\)
−0.940201 + 0.340621i \(0.889363\pi\)
\(648\) −14.0285 + 21.2415i −0.551092 + 0.834444i
\(649\) 24.6773i 0.968668i
\(650\) 17.3494 7.78273i 0.680501 0.305264i
\(651\) 6.09126 + 4.71309i 0.238735 + 0.184721i
\(652\) −0.0251035 0.432646i −0.000983127 0.0169437i
\(653\) −4.06026 + 1.08794i −0.158890 + 0.0425745i −0.337387 0.941366i \(-0.609543\pi\)
0.178497 + 0.983940i \(0.442877\pi\)
\(654\) −1.74701 0.421692i −0.0683136 0.0164895i
\(655\) −6.77753 + 3.91301i −0.264820 + 0.152894i
\(656\) −0.114100 0.0492773i −0.00445485 0.00192395i
\(657\) 13.7836 3.57456i 0.537751 0.139457i
\(658\) 0.380644 + 0.467375i 0.0148390 + 0.0182202i
\(659\) 45.3085 + 12.1404i 1.76497 + 0.472922i 0.987715 0.156265i \(-0.0499452\pi\)
0.777254 + 0.629187i \(0.216612\pi\)
\(660\) 56.3482 10.5351i 2.19335 0.410078i
\(661\) 31.6766 8.48771i 1.23208 0.330134i 0.416689 0.909049i \(-0.363191\pi\)
0.815388 + 0.578915i \(0.196524\pi\)
\(662\) 15.8152 21.8964i 0.614677 0.851029i
\(663\) −17.4681 + 41.6960i −0.678406 + 1.61934i
\(664\) 34.2476 7.58068i 1.32906 0.294187i
\(665\) −14.3299 −0.555690
\(666\) 1.83728 + 2.29339i 0.0711930 + 0.0888672i
\(667\) 0.179755 0.179755i 0.00696015 0.00696015i
\(668\) −1.32863 4.01252i −0.0514062 0.155249i
\(669\) −3.79931 + 27.9871i −0.146890 + 1.08204i
\(670\) −3.37099 + 0.543589i −0.130233 + 0.0210007i
\(671\) 18.9935 32.8977i 0.733236 1.27000i
\(672\) −21.2088 8.53831i −0.818147 0.329372i
\(673\) −1.37128 2.37512i −0.0528588 0.0915541i 0.838385 0.545078i \(-0.183500\pi\)
−0.891244 + 0.453524i \(0.850167\pi\)
\(674\) −26.2214 32.1960i −1.01001 1.24014i
\(675\) 17.1567 2.04815i 0.660363 0.0788333i
\(676\) 6.56111 + 1.35626i 0.252350 + 0.0521639i
\(677\) 34.2273 + 9.17117i 1.31546 + 0.352477i 0.847276 0.531154i \(-0.178241\pi\)
0.468185 + 0.883630i \(0.344908\pi\)
\(678\) −0.677437 27.1448i −0.0260168 1.04249i
\(679\) −7.69612 + 13.3301i −0.295350 + 0.511561i
\(680\) 38.8503 35.5763i 1.48984 1.36429i
\(681\) −31.7441 + 24.1556i −1.21644 + 0.925645i
\(682\) 6.32602 + 14.1021i 0.242236 + 0.539998i
\(683\) 0.646566 + 0.646566i 0.0247402 + 0.0247402i 0.719369 0.694628i \(-0.244431\pi\)
−0.694628 + 0.719369i \(0.744431\pi\)
\(684\) 12.1549 3.91636i 0.464753 0.149746i
\(685\) 30.6796 30.6796i 1.17221 1.17221i
\(686\) −10.0435 + 26.3846i −0.383461 + 1.00737i
\(687\) 13.0802 31.2221i 0.499041 1.19120i
\(688\) −2.28912 + 15.5800i −0.0872718 + 0.593981i
\(689\) −32.7870 18.9296i −1.24908 0.721159i
\(690\) −0.327350 + 0.0965282i −0.0124620 + 0.00367476i
\(691\) 9.25241 34.5305i 0.351978 1.31360i −0.532266 0.846577i \(-0.678659\pi\)
0.884245 0.467024i \(-0.154674\pi\)
\(692\) −3.75872 + 2.47097i −0.142885 + 0.0939321i
\(693\) −19.7936 34.9303i −0.751895 1.32689i
\(694\) −3.05497 + 29.8702i −0.115965 + 1.13386i
\(695\) 21.4444 12.3810i 0.813434 0.469636i
\(696\) 23.3264 + 11.0013i 0.884184 + 0.417002i
\(697\) −0.173693 0.100282i −0.00657908 0.00379844i
\(698\) −21.2479 + 29.4181i −0.804246 + 1.11349i
\(699\) 19.5047 25.2081i 0.737734 0.953458i
\(700\) 4.87807 + 14.7320i 0.184374 + 0.556818i
\(701\) 25.7079 + 25.7079i 0.970975 + 0.970975i 0.999590 0.0286153i \(-0.00910977\pi\)
−0.0286153 + 0.999590i \(0.509110\pi\)
\(702\) 25.9800 + 14.4199i 0.980553 + 0.544244i
\(703\) 1.47417i 0.0555995i
\(704\) −29.4692 35.1670i −1.11066 1.32541i
\(705\) 0.115504 + 0.905509i 0.00435013 + 0.0341034i
\(706\) 4.96853 + 30.8116i 0.186993 + 1.15961i
\(707\) −5.01912 18.7316i −0.188763 0.704474i
\(708\) −13.4431 + 6.43795i −0.505222 + 0.241953i
\(709\) −6.43610 + 24.0199i −0.241713 + 0.902085i 0.733294 + 0.679911i \(0.237982\pi\)
−0.975007 + 0.222173i \(0.928685\pi\)
\(710\) −0.433318 + 4.23680i −0.0162622 + 0.159004i
\(711\) 17.7344 + 18.0225i 0.665093 + 0.675896i
\(712\) −7.15627 + 3.72232i −0.268193 + 0.139500i
\(713\) −0.0460091 0.0796901i −0.00172305 0.00298442i
\(714\) −32.4019 17.6444i −1.21261 0.660324i
\(715\) −17.3183 64.6326i −0.647666 2.41712i
\(716\) 12.2332 0.709806i 0.457175 0.0265267i
\(717\) 16.3212 + 39.8562i 0.609527 + 1.48846i
\(718\) −17.3832 6.61700i −0.648734 0.246944i
\(719\) −3.00765 −0.112167 −0.0560833 0.998426i \(-0.517861\pi\)
−0.0560833 + 0.998426i \(0.517861\pi\)
\(720\) −20.4395 27.9475i −0.761735 1.04154i
\(721\) 15.8491 0.590251
\(722\) 19.1250 + 7.28004i 0.711758 + 0.270935i
\(723\) 0.879510 + 0.119395i 0.0327093 + 0.00444036i
\(724\) 2.28566 + 39.3923i 0.0849459 + 1.46400i
\(725\) −4.53080 16.9092i −0.168270 0.627992i
\(726\) −1.33791 53.6099i −0.0496546 1.98965i
\(727\) −19.1265 33.1281i −0.709363 1.22865i −0.965094 0.261905i \(-0.915649\pi\)
0.255730 0.966748i \(-0.417684\pi\)
\(728\) −8.03332 + 25.4492i −0.297735 + 0.943211i
\(729\) 18.6250 + 19.5477i 0.689814 + 0.723987i
\(730\) −1.97061 + 19.2678i −0.0729356 + 0.713132i
\(731\) −6.57703 + 24.5458i −0.243260 + 0.907859i
\(732\) −22.8763 1.76426i −0.845534 0.0652091i
\(733\) 3.07838 + 11.4887i 0.113702 + 0.424343i 0.999187 0.0403263i \(-0.0128397\pi\)
−0.885484 + 0.464670i \(0.846173\pi\)
\(734\) 1.33490 + 8.27820i 0.0492721 + 0.305554i
\(735\) −6.18449 + 4.70608i −0.228119 + 0.173586i
\(736\) 0.195838 + 0.190432i 0.00721869 + 0.00701940i
\(737\) 4.79920i 0.176781i
\(738\) −0.0780444 + 0.106240i −0.00287285 + 0.00391075i
\(739\) −30.0692 30.0692i −1.10611 1.10611i −0.993657 0.112457i \(-0.964128\pi\)
−0.112457 0.993657i \(-0.535872\pi\)
\(740\) −3.79436 + 1.25639i −0.139483 + 0.0461858i
\(741\) −5.64883 13.7944i −0.207515 0.506748i
\(742\) 18.0911 25.0475i 0.664147 0.919521i
\(743\) −4.00273 2.31098i −0.146846 0.0847815i 0.424777 0.905298i \(-0.360353\pi\)
−0.571623 + 0.820517i \(0.693686\pi\)
\(744\) 6.03183 7.12517i 0.221137 0.261221i
\(745\) −2.52821 + 1.45966i −0.0926264 + 0.0534779i
\(746\) 5.17663 50.6148i 0.189530 1.85314i
\(747\) 0.299699 37.2031i 0.0109654 1.36119i
\(748\) −40.6725 61.8691i −1.48713 2.26216i
\(749\) 10.1776 37.9834i 0.371882 1.38788i
\(750\) 2.77730 11.5060i 0.101413 0.420140i
\(751\) −10.7097 6.18323i −0.390801 0.225629i 0.291706 0.956508i \(-0.405777\pi\)
−0.682507 + 0.730879i \(0.739110\pi\)
\(752\) 0.586247 0.436045i 0.0213782 0.0159009i
\(753\) 19.1576 2.44369i 0.698142 0.0890529i
\(754\) 10.7096 28.1347i 0.390022 1.02461i
\(755\) −33.8442 + 33.8442i −1.23172 + 1.23172i
\(756\) −13.8646 + 19.8955i −0.504250 + 0.723591i
\(757\) 15.8033 + 15.8033i 0.574380 + 0.574380i 0.933349 0.358969i \(-0.116872\pi\)
−0.358969 + 0.933349i \(0.616872\pi\)
\(758\) 3.72173 + 8.29657i 0.135179 + 0.301345i
\(759\) 0.0606953 + 0.475829i 0.00220310 + 0.0172715i
\(760\) −0.763369 + 17.3529i −0.0276903 + 0.629455i
\(761\) 3.67823 6.37089i 0.133336 0.230944i −0.791625 0.611008i \(-0.790764\pi\)
0.924961 + 0.380063i \(0.124098\pi\)
\(762\) 25.2533 15.4326i 0.914831 0.559064i
\(763\) −1.65371 0.443110i −0.0598682 0.0160416i
\(764\) −3.10257 + 15.0091i −0.112247 + 0.543011i
\(765\) −27.5463 48.6117i −0.995938 1.75756i
\(766\) 29.3311 + 36.0143i 1.05978 + 1.30125i
\(767\) 8.69908 + 15.0673i 0.314106 + 0.544047i
\(768\) −11.4693 + 25.2281i −0.413863 + 0.910339i
\(769\) 0.792301 1.37231i 0.0285711 0.0494866i −0.851386 0.524539i \(-0.824238\pi\)
0.879957 + 0.475053i \(0.157571\pi\)
\(770\) 53.9124 8.69364i 1.94287 0.313297i
\(771\) 19.7094 8.07107i 0.709818 0.290672i
\(772\) 14.3930 4.76580i 0.518014 0.171525i