Properties

Label 273.2.bt.a.145.2
Level $273$
Weight $2$
Character 273.145
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bt (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 145.2
Character \(\chi\) \(=\) 273.145
Dual form 273.2.bt.a.241.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30773 + 1.30773i) q^{2} +(-0.866025 - 0.500000i) q^{3} -1.42031i q^{4} +(-0.0744995 + 0.0199621i) q^{5} +(1.78639 - 0.478662i) q^{6} +(2.55141 + 0.700217i) q^{7} +(-0.758075 - 0.758075i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(-1.30773 + 1.30773i) q^{2} +(-0.866025 - 0.500000i) q^{3} -1.42031i q^{4} +(-0.0744995 + 0.0199621i) q^{5} +(1.78639 - 0.478662i) q^{6} +(2.55141 + 0.700217i) q^{7} +(-0.758075 - 0.758075i) q^{8} +(0.500000 + 0.866025i) q^{9} +(0.0713202 - 0.123530i) q^{10} +(0.672618 - 0.180227i) q^{11} +(-0.710156 + 1.23003i) q^{12} +(2.39818 + 2.69235i) q^{13} +(-4.25225 + 2.42086i) q^{14} +(0.0744995 + 0.0199621i) q^{15} +4.82334 q^{16} -1.23731 q^{17} +(-1.78639 - 0.478662i) q^{18} +(-1.45771 + 5.44023i) q^{19} +(0.0283524 + 0.105813i) q^{20} +(-1.85948 - 1.88211i) q^{21} +(-0.643914 + 1.11529i) q^{22} +7.37027i q^{23} +(0.277475 + 1.03555i) q^{24} +(-4.32498 + 2.49703i) q^{25} +(-6.65703 - 0.384694i) q^{26} -1.00000i q^{27} +(0.994527 - 3.62380i) q^{28} +(1.84462 + 3.19498i) q^{29} +(-0.123530 + 0.0713202i) q^{30} +(2.34941 - 8.76813i) q^{31} +(-4.79147 + 4.79147i) q^{32} +(-0.672618 - 0.180227i) q^{33} +(1.61806 - 1.61806i) q^{34} +(-0.204057 - 0.00123434i) q^{35} +(1.23003 - 0.710156i) q^{36} +(3.25640 + 3.25640i) q^{37} +(-5.20806 - 9.02063i) q^{38} +(-0.730710 - 3.53073i) q^{39} +(0.0716090 + 0.0413434i) q^{40} +(-0.231836 + 0.865225i) q^{41} +(4.89299 + 0.0295978i) q^{42} +(-2.14988 - 1.24124i) q^{43} +(-0.255979 - 0.955327i) q^{44} +(-0.0545374 - 0.0545374i) q^{45} +(-9.63832 - 9.63832i) q^{46} +(0.108435 + 0.404685i) q^{47} +(-4.17713 - 2.41167i) q^{48} +(6.01939 + 3.57308i) q^{49} +(2.39046 - 8.92133i) q^{50} +(1.07154 + 0.618653i) q^{51} +(3.82397 - 3.40616i) q^{52} +(5.75319 + 9.96481i) q^{53} +(1.30773 + 1.30773i) q^{54} +(-0.0465120 + 0.0268537i) q^{55} +(-1.40334 - 2.46498i) q^{56} +(3.98252 - 3.98252i) q^{57} +(-6.59044 - 1.76590i) q^{58} +(9.90380 - 9.90380i) q^{59} +(0.0283524 - 0.105813i) q^{60} +(5.63177 - 3.25150i) q^{61} +(8.39395 + 14.5387i) q^{62} +(0.669300 + 2.55969i) q^{63} -2.88522i q^{64} +(-0.232408 - 0.152706i) q^{65} +(1.11529 - 0.643914i) q^{66} +(-0.540059 - 2.01553i) q^{67} +1.75736i q^{68} +(3.68514 - 6.38284i) q^{69} +(0.268465 - 0.265237i) q^{70} +(0.119329 + 0.445340i) q^{71} +(0.277475 - 1.03555i) q^{72} +(-4.91231 - 1.31625i) q^{73} -8.51697 q^{74} +4.99405 q^{75} +(7.72682 + 2.07040i) q^{76} +(1.84232 + 0.0111443i) q^{77} +(5.57281 + 3.66167i) q^{78} +(3.26395 - 5.65332i) q^{79} +(-0.359336 + 0.0962839i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-0.828301 - 1.43466i) q^{82} +(-9.54235 - 9.54235i) q^{83} +(-2.67319 + 2.64104i) q^{84} +(0.0921787 - 0.0246992i) q^{85} +(4.43466 - 1.18826i) q^{86} -3.68925i q^{87} +(-0.646521 - 0.373269i) q^{88} +(3.14679 - 3.14679i) q^{89} +0.142640 q^{90} +(4.23351 + 8.54853i) q^{91} +10.4681 q^{92} +(-6.41872 + 6.41872i) q^{93} +(-0.671022 - 0.387414i) q^{94} -0.434393i q^{95} +(6.54527 - 1.75380i) q^{96} +(-15.6536 + 4.19437i) q^{97} +(-12.5444 + 3.19911i) q^{98} +(0.492391 + 0.492391i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 6q^{7} + 18q^{9} + O(q^{10}) \) \( 36q + 6q^{7} + 18q^{9} - 8q^{11} - 16q^{12} + 42q^{14} - 24q^{16} - 8q^{17} - 18q^{19} + 14q^{20} - 4q^{21} + 4q^{22} + 18q^{24} + 24q^{25} - 50q^{26} + 34q^{28} + 8q^{29} + 6q^{31} - 50q^{32} + 8q^{33} - 24q^{34} + 14q^{35} - 14q^{37} - 8q^{38} - 2q^{39} - 30q^{40} + 34q^{41} - 18q^{42} + 30q^{43} + 28q^{44} - 32q^{46} - 10q^{47} + 24q^{48} + 6q^{49} - 20q^{50} - 24q^{51} + 4q^{52} - 8q^{53} - 30q^{55} - 92q^{56} - 24q^{57} + 72q^{58} - 70q^{59} + 14q^{60} - 60q^{61} - 48q^{62} + 6q^{63} - 44q^{65} + 18q^{66} - 46q^{67} + 4q^{69} + 80q^{70} + 42q^{71} + 18q^{72} - 56q^{73} + 40q^{74} - 20q^{75} + 12q^{76} + 24q^{77} - 16q^{78} + 170q^{80} - 18q^{81} + 24q^{82} - 60q^{83} + 2q^{85} + 12q^{86} + 84q^{88} + 64q^{89} - 86q^{91} - 100q^{92} + 12q^{93} - 66q^{94} + 46q^{96} + 36q^{97} - 22q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30773 + 1.30773i −0.924704 + 0.924704i −0.997357 0.0726530i \(-0.976853\pi\)
0.0726530 + 0.997357i \(0.476853\pi\)
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) 1.42031i 0.710156i
\(5\) −0.0744995 + 0.0199621i −0.0333172 + 0.00892732i −0.275439 0.961319i \(-0.588823\pi\)
0.242122 + 0.970246i \(0.422157\pi\)
\(6\) 1.78639 0.478662i 0.729291 0.195413i
\(7\) 2.55141 + 0.700217i 0.964343 + 0.264657i
\(8\) −0.758075 0.758075i −0.268020 0.268020i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) 0.0713202 0.123530i 0.0225534 0.0390637i
\(11\) 0.672618 0.180227i 0.202802 0.0543406i −0.155988 0.987759i \(-0.549856\pi\)
0.358790 + 0.933418i \(0.383189\pi\)
\(12\) −0.710156 + 1.23003i −0.205004 + 0.355078i
\(13\) 2.39818 + 2.69235i 0.665135 + 0.746723i
\(14\) −4.25225 + 2.42086i −1.13646 + 0.647002i
\(15\) 0.0744995 + 0.0199621i 0.0192357 + 0.00515419i
\(16\) 4.82334 1.20583
\(17\) −1.23731 −0.300091 −0.150045 0.988679i \(-0.547942\pi\)
−0.150045 + 0.988679i \(0.547942\pi\)
\(18\) −1.78639 0.478662i −0.421057 0.112822i
\(19\) −1.45771 + 5.44023i −0.334420 + 1.24807i 0.570076 + 0.821592i \(0.306914\pi\)
−0.904496 + 0.426482i \(0.859753\pi\)
\(20\) 0.0283524 + 0.105813i 0.00633979 + 0.0236604i
\(21\) −1.85948 1.88211i −0.405771 0.410710i
\(22\) −0.643914 + 1.11529i −0.137283 + 0.237781i
\(23\) 7.37027i 1.53681i 0.639965 + 0.768404i \(0.278949\pi\)
−0.639965 + 0.768404i \(0.721051\pi\)
\(24\) 0.277475 + 1.03555i 0.0566393 + 0.211381i
\(25\) −4.32498 + 2.49703i −0.864995 + 0.499405i
\(26\) −6.65703 0.384694i −1.30555 0.0754446i
\(27\) 1.00000i 0.192450i
\(28\) 0.994527 3.62380i 0.187948 0.684834i
\(29\) 1.84462 + 3.19498i 0.342538 + 0.593293i 0.984903 0.173105i \(-0.0553801\pi\)
−0.642365 + 0.766399i \(0.722047\pi\)
\(30\) −0.123530 + 0.0713202i −0.0225534 + 0.0130212i
\(31\) 2.34941 8.76813i 0.421967 1.57480i −0.348491 0.937312i \(-0.613306\pi\)
0.770458 0.637491i \(-0.220028\pi\)
\(32\) −4.79147 + 4.79147i −0.847020 + 0.847020i
\(33\) −0.672618 0.180227i −0.117088 0.0313736i
\(34\) 1.61806 1.61806i 0.277495 0.277495i
\(35\) −0.204057 0.00123434i −0.0344919 0.000208642i
\(36\) 1.23003 0.710156i 0.205004 0.118359i
\(37\) 3.25640 + 3.25640i 0.535348 + 0.535348i 0.922159 0.386811i \(-0.126423\pi\)
−0.386811 + 0.922159i \(0.626423\pi\)
\(38\) −5.20806 9.02063i −0.844860 1.46334i
\(39\) −0.730710 3.53073i −0.117007 0.565369i
\(40\) 0.0716090 + 0.0413434i 0.0113224 + 0.00653697i
\(41\) −0.231836 + 0.865225i −0.0362067 + 0.135125i −0.981663 0.190622i \(-0.938949\pi\)
0.945457 + 0.325748i \(0.105616\pi\)
\(42\) 4.89299 + 0.0295978i 0.755004 + 0.00456704i
\(43\) −2.14988 1.24124i −0.327854 0.189287i 0.327034 0.945013i \(-0.393951\pi\)
−0.654888 + 0.755726i \(0.727284\pi\)
\(44\) −0.255979 0.955327i −0.0385903 0.144021i
\(45\) −0.0545374 0.0545374i −0.00812996 0.00812996i
\(46\) −9.63832 9.63832i −1.42109 1.42109i
\(47\) 0.108435 + 0.404685i 0.0158169 + 0.0590293i 0.973383 0.229184i \(-0.0736056\pi\)
−0.957566 + 0.288213i \(0.906939\pi\)
\(48\) −4.17713 2.41167i −0.602917 0.348094i
\(49\) 6.01939 + 3.57308i 0.859913 + 0.510440i
\(50\) 2.39046 8.92133i 0.338063 1.26167i
\(51\) 1.07154 + 0.618653i 0.150045 + 0.0866287i
\(52\) 3.82397 3.40616i 0.530290 0.472350i
\(53\) 5.75319 + 9.96481i 0.790261 + 1.36877i 0.925805 + 0.378001i \(0.123388\pi\)
−0.135544 + 0.990771i \(0.543278\pi\)
\(54\) 1.30773 + 1.30773i 0.177959 + 0.177959i
\(55\) −0.0465120 + 0.0268537i −0.00627168 + 0.00362095i
\(56\) −1.40334 2.46498i −0.187530 0.329396i
\(57\) 3.98252 3.98252i 0.527498 0.527498i
\(58\) −6.59044 1.76590i −0.865367 0.231875i
\(59\) 9.90380 9.90380i 1.28937 1.28937i 0.354193 0.935172i \(-0.384756\pi\)
0.935172 0.354193i \(-0.115244\pi\)
\(60\) 0.0283524 0.105813i 0.00366028 0.0136603i
\(61\) 5.63177 3.25150i 0.721074 0.416312i −0.0940739 0.995565i \(-0.529989\pi\)
0.815148 + 0.579253i \(0.196656\pi\)
\(62\) 8.39395 + 14.5387i 1.06603 + 1.84642i
\(63\) 0.669300 + 2.55969i 0.0843238 + 0.322491i
\(64\) 2.88522i 0.360652i
\(65\) −0.232408 0.152706i −0.0288267 0.0189408i
\(66\) 1.11529 0.643914i 0.137283 0.0792603i
\(67\) −0.540059 2.01553i −0.0659787 0.246236i 0.925058 0.379826i \(-0.124016\pi\)
−0.991037 + 0.133590i \(0.957349\pi\)
\(68\) 1.75736i 0.213111i
\(69\) 3.68514 6.38284i 0.443638 0.768404i
\(70\) 0.268465 0.265237i 0.0320877 0.0317018i
\(71\) 0.119329 + 0.445340i 0.0141617 + 0.0528522i 0.972645 0.232296i \(-0.0746238\pi\)
−0.958483 + 0.285148i \(0.907957\pi\)
\(72\) 0.277475 1.03555i 0.0327007 0.122041i
\(73\) −4.91231 1.31625i −0.574942 0.154055i −0.0403800 0.999184i \(-0.512857\pi\)
−0.534562 + 0.845129i \(0.679524\pi\)
\(74\) −8.51697 −0.990078
\(75\) 4.99405 0.576663
\(76\) 7.72682 + 2.07040i 0.886328 + 0.237491i
\(77\) 1.84232 + 0.0111443i 0.209952 + 0.00127001i
\(78\) 5.57281 + 3.66167i 0.630997 + 0.414603i
\(79\) 3.26395 5.65332i 0.367223 0.636048i −0.621908 0.783091i \(-0.713642\pi\)
0.989130 + 0.147043i \(0.0469754\pi\)
\(80\) −0.359336 + 0.0962839i −0.0401750 + 0.0107649i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) −0.828301 1.43466i −0.0914705 0.158432i
\(83\) −9.54235 9.54235i −1.04741 1.04741i −0.998819 0.0485904i \(-0.984527\pi\)
−0.0485904 0.998819i \(-0.515473\pi\)
\(84\) −2.67319 + 2.64104i −0.291668 + 0.288161i
\(85\) 0.0921787 0.0246992i 0.00999818 0.00267900i
\(86\) 4.43466 1.18826i 0.478202 0.128134i
\(87\) 3.68925i 0.395529i
\(88\) −0.646521 0.373269i −0.0689193 0.0397906i
\(89\) 3.14679 3.14679i 0.333559 0.333559i −0.520378 0.853936i \(-0.674209\pi\)
0.853936 + 0.520378i \(0.174209\pi\)
\(90\) 0.142640 0.0150356
\(91\) 4.23351 + 8.54853i 0.443793 + 0.896130i
\(92\) 10.4681 1.09137
\(93\) −6.41872 + 6.41872i −0.665590 + 0.665590i
\(94\) −0.671022 0.387414i −0.0692106 0.0399588i
\(95\) 0.434393i 0.0445678i
\(96\) 6.54527 1.75380i 0.668024 0.178996i
\(97\) −15.6536 + 4.19437i −1.58938 + 0.425874i −0.941815 0.336132i \(-0.890881\pi\)
−0.647569 + 0.762007i \(0.724214\pi\)
\(98\) −12.5444 + 3.19911i −1.26717 + 0.323159i
\(99\) 0.492391 + 0.492391i 0.0494871 + 0.0494871i
\(100\) 3.54656 + 6.14282i 0.354656 + 0.614282i
\(101\) 5.06369 8.77056i 0.503856 0.872704i −0.496134 0.868246i \(-0.665248\pi\)
0.999990 0.00445781i \(-0.00141897\pi\)
\(102\) −2.21031 + 0.592251i −0.218854 + 0.0586416i
\(103\) 1.47339 2.55198i 0.145177 0.251454i −0.784262 0.620430i \(-0.786958\pi\)
0.929439 + 0.368976i \(0.120291\pi\)
\(104\) 0.223002 3.85900i 0.0218672 0.378406i
\(105\) 0.176101 + 0.103097i 0.0171857 + 0.0100613i
\(106\) −20.5549 5.50767i −1.99647 0.534952i
\(107\) 16.8417 1.62815 0.814075 0.580760i \(-0.197245\pi\)
0.814075 + 0.580760i \(0.197245\pi\)
\(108\) −1.42031 −0.136670
\(109\) −10.8967 2.91975i −1.04371 0.279662i −0.304061 0.952653i \(-0.598343\pi\)
−0.739651 + 0.672991i \(0.765009\pi\)
\(110\) 0.0257077 0.0959425i 0.00245113 0.00914776i
\(111\) −1.19192 4.44832i −0.113132 0.422216i
\(112\) 12.3063 + 3.37738i 1.16284 + 0.319133i
\(113\) −5.69946 + 9.87175i −0.536160 + 0.928656i 0.462946 + 0.886386i \(0.346792\pi\)
−0.999106 + 0.0422699i \(0.986541\pi\)
\(114\) 10.4161i 0.975560i
\(115\) −0.147126 0.549082i −0.0137196 0.0512021i
\(116\) 4.53787 2.61994i 0.421331 0.243256i
\(117\) −1.13255 + 3.42306i −0.104705 + 0.316462i
\(118\) 25.9030i 2.38456i
\(119\) −3.15688 0.866382i −0.289390 0.0794211i
\(120\) −0.0413434 0.0716090i −0.00377412 0.00653697i
\(121\) −9.10635 + 5.25755i −0.827850 + 0.477959i
\(122\) −3.11274 + 11.6169i −0.281814 + 1.05175i
\(123\) 0.633388 0.633388i 0.0571107 0.0571107i
\(124\) −12.4535 3.33690i −1.11836 0.299663i
\(125\) 0.545050 0.545050i 0.0487507 0.0487507i
\(126\) −4.22265 2.47213i −0.376184 0.220234i
\(127\) −11.9564 + 6.90305i −1.06096 + 0.612547i −0.925698 0.378263i \(-0.876522\pi\)
−0.135264 + 0.990810i \(0.543188\pi\)
\(128\) −5.80986 5.80986i −0.513524 0.513524i
\(129\) 1.24124 + 2.14988i 0.109285 + 0.189287i
\(130\) 0.503625 0.104229i 0.0441708 0.00914147i
\(131\) −12.3717 7.14282i −1.08092 0.624071i −0.149778 0.988720i \(-0.547856\pi\)
−0.931145 + 0.364648i \(0.881189\pi\)
\(132\) −0.255979 + 0.955327i −0.0222801 + 0.0831506i
\(133\) −7.52855 + 12.8596i −0.652808 + 1.11506i
\(134\) 3.34201 + 1.92951i 0.288706 + 0.166685i
\(135\) 0.0199621 + 0.0744995i 0.00171806 + 0.00641190i
\(136\) 0.937970 + 0.937970i 0.0804303 + 0.0804303i
\(137\) −2.98739 2.98739i −0.255230 0.255230i 0.567881 0.823111i \(-0.307764\pi\)
−0.823111 + 0.567881i \(0.807764\pi\)
\(138\) 3.52787 + 13.1662i 0.300312 + 1.12078i
\(139\) 8.52594 + 4.92246i 0.723161 + 0.417517i 0.815915 0.578172i \(-0.196234\pi\)
−0.0927539 + 0.995689i \(0.529567\pi\)
\(140\) −0.00175315 + 0.289824i −0.000148169 + 0.0244946i
\(141\) 0.108435 0.404685i 0.00913187 0.0340806i
\(142\) −0.738434 0.426335i −0.0619680 0.0357772i
\(143\) 2.09829 + 1.37870i 0.175468 + 0.115293i
\(144\) 2.41167 + 4.17713i 0.200972 + 0.348094i
\(145\) −0.201202 0.201202i −0.0167089 0.0167089i
\(146\) 8.14527 4.70267i 0.674107 0.389196i
\(147\) −3.42641 6.10408i −0.282605 0.503456i
\(148\) 4.62510 4.62510i 0.380181 0.380181i
\(149\) 3.39107 + 0.908635i 0.277807 + 0.0744383i 0.395033 0.918667i \(-0.370733\pi\)
−0.117225 + 0.993105i \(0.537400\pi\)
\(150\) −6.53087 + 6.53087i −0.533243 + 0.533243i
\(151\) 5.00350 18.6733i 0.407179 1.51961i −0.392821 0.919615i \(-0.628501\pi\)
0.800001 0.599999i \(-0.204832\pi\)
\(152\) 5.22915 3.01905i 0.424140 0.244877i
\(153\) −0.618653 1.07154i −0.0500151 0.0866287i
\(154\) −2.42383 + 2.39469i −0.195318 + 0.192969i
\(155\) 0.700121i 0.0562351i
\(156\) −5.01474 + 1.03784i −0.401501 + 0.0830934i
\(157\) 2.19466 1.26709i 0.175153 0.101125i −0.409860 0.912148i \(-0.634423\pi\)
0.585013 + 0.811024i \(0.301089\pi\)
\(158\) 3.12465 + 11.6614i 0.248584 + 0.927729i
\(159\) 11.5064i 0.912515i
\(160\) 0.261314 0.452610i 0.0206587 0.0357820i
\(161\) −5.16079 + 18.8046i −0.406727 + 1.48201i
\(162\) −0.478662 1.78639i −0.0376073 0.140352i
\(163\) 3.66969 13.6955i 0.287432 1.07271i −0.659611 0.751607i \(-0.729279\pi\)
0.947044 0.321105i \(-0.104054\pi\)
\(164\) 1.22889 + 0.329280i 0.0959601 + 0.0257124i
\(165\) 0.0537074 0.00418112
\(166\) 24.9576 1.93709
\(167\) −3.12094 0.836254i −0.241506 0.0647113i 0.136036 0.990704i \(-0.456564\pi\)
−0.377542 + 0.925993i \(0.623230\pi\)
\(168\) −0.0171575 + 2.83640i −0.00132373 + 0.218833i
\(169\) −1.49748 + 12.9135i −0.115190 + 0.993343i
\(170\) −0.0882449 + 0.152845i −0.00676807 + 0.0117226i
\(171\) −5.44023 + 1.45771i −0.416025 + 0.111473i
\(172\) −1.76294 + 3.05350i −0.134423 + 0.232828i
\(173\) −0.319180 0.552836i −0.0242668 0.0420314i 0.853637 0.520868i \(-0.174392\pi\)
−0.877904 + 0.478837i \(0.841058\pi\)
\(174\) 4.82454 + 4.82454i 0.365747 + 0.365747i
\(175\) −12.7832 + 3.34252i −0.966323 + 0.252671i
\(176\) 3.24426 0.869298i 0.244546 0.0655258i
\(177\) −13.5288 + 3.62504i −1.01689 + 0.272475i
\(178\) 8.23029i 0.616886i
\(179\) 6.77885 + 3.91377i 0.506675 + 0.292529i 0.731466 0.681878i \(-0.238837\pi\)
−0.224791 + 0.974407i \(0.572170\pi\)
\(180\) −0.0774602 + 0.0774602i −0.00577354 + 0.00577354i
\(181\) 7.74072 0.575363 0.287682 0.957726i \(-0.407115\pi\)
0.287682 + 0.957726i \(0.407115\pi\)
\(182\) −16.7155 5.64288i −1.23903 0.418278i
\(183\) −6.50300 −0.480716
\(184\) 5.58722 5.58722i 0.411895 0.411895i
\(185\) −0.307604 0.177595i −0.0226155 0.0130571i
\(186\) 16.7879i 1.23095i
\(187\) −0.832234 + 0.222996i −0.0608590 + 0.0163071i
\(188\) 0.574779 0.154011i 0.0419200 0.0112324i
\(189\) 0.700217 2.55141i 0.0509333 0.185588i
\(190\) 0.568069 + 0.568069i 0.0412120 + 0.0412120i
\(191\) −6.77349 11.7320i −0.490112 0.848899i 0.509823 0.860279i \(-0.329711\pi\)
−0.999935 + 0.0113800i \(0.996378\pi\)
\(192\) −1.44261 + 2.49867i −0.104111 + 0.180326i
\(193\) 15.0008 4.01944i 1.07978 0.289326i 0.325273 0.945620i \(-0.394544\pi\)
0.754505 + 0.656295i \(0.227877\pi\)
\(194\) 14.9856 25.9558i 1.07590 1.86352i
\(195\) 0.124918 + 0.248451i 0.00894558 + 0.0177920i
\(196\) 5.07489 8.54942i 0.362492 0.610673i
\(197\) 12.9524 + 3.47059i 0.922822 + 0.247269i 0.688791 0.724960i \(-0.258142\pi\)
0.234031 + 0.972229i \(0.424808\pi\)
\(198\) −1.28783 −0.0915219
\(199\) −3.28625 −0.232956 −0.116478 0.993193i \(-0.537160\pi\)
−0.116478 + 0.993193i \(0.537160\pi\)
\(200\) 5.17159 + 1.38572i 0.365686 + 0.0979854i
\(201\) −0.540059 + 2.01553i −0.0380928 + 0.142164i
\(202\) 4.84759 + 18.0915i 0.341075 + 1.27291i
\(203\) 2.46921 + 9.44335i 0.173305 + 0.662793i
\(204\) 0.878680 1.52192i 0.0615199 0.106556i
\(205\) 0.0690867i 0.00482523i
\(206\) 1.41051 + 5.26409i 0.0982748 + 0.366767i
\(207\) −6.38284 + 3.68514i −0.443638 + 0.256135i
\(208\) 11.5672 + 12.9861i 0.802043 + 0.900424i
\(209\) 3.92191i 0.271285i
\(210\) −0.365116 + 0.0954692i −0.0251954 + 0.00658800i
\(211\) −6.31298 10.9344i −0.434604 0.752756i 0.562660 0.826689i \(-0.309778\pi\)
−0.997263 + 0.0739331i \(0.976445\pi\)
\(212\) 14.1531 8.17132i 0.972042 0.561209i
\(213\) 0.119329 0.445340i 0.00817626 0.0305142i
\(214\) −22.0244 + 22.0244i −1.50556 + 1.50556i
\(215\) 0.184943 + 0.0495553i 0.0126130 + 0.00337964i
\(216\) −0.758075 + 0.758075i −0.0515805 + 0.0515805i
\(217\) 12.1339 20.7260i 0.823704 1.40697i
\(218\) 18.0681 10.4316i 1.22373 0.706520i
\(219\) 3.59606 + 3.59606i 0.242999 + 0.242999i
\(220\) 0.0381407 + 0.0660616i 0.00257144 + 0.00445387i
\(221\) −2.96728 3.33126i −0.199601 0.224085i
\(222\) 7.37591 + 4.25848i 0.495039 + 0.285811i
\(223\) 5.22617 19.5043i 0.349971 1.30611i −0.536726 0.843756i \(-0.680339\pi\)
0.886697 0.462351i \(-0.152994\pi\)
\(224\) −15.5801 + 8.86994i −1.04099 + 0.592648i
\(225\) −4.32498 2.49703i −0.288332 0.166468i
\(226\) −5.45623 20.3629i −0.362943 1.35452i
\(227\) 9.03303 + 9.03303i 0.599543 + 0.599543i 0.940191 0.340648i \(-0.110646\pi\)
−0.340648 + 0.940191i \(0.610646\pi\)
\(228\) −5.65643 5.65643i −0.374606 0.374606i
\(229\) 3.18409 + 11.8832i 0.210410 + 0.785262i 0.987732 + 0.156159i \(0.0499112\pi\)
−0.777322 + 0.629104i \(0.783422\pi\)
\(230\) 0.910452 + 0.525649i 0.0600334 + 0.0346603i
\(231\) −1.58993 0.930813i −0.104609 0.0612430i
\(232\) 1.02367 3.82040i 0.0672074 0.250821i
\(233\) −0.0361142 0.0208505i −0.00236592 0.00136596i 0.498817 0.866708i \(-0.333768\pi\)
−0.501182 + 0.865342i \(0.667101\pi\)
\(234\) −2.99536 5.95751i −0.195813 0.389454i
\(235\) −0.0161567 0.0279842i −0.00105395 0.00182549i
\(236\) −14.0665 14.0665i −0.915651 0.915651i
\(237\) −5.65332 + 3.26395i −0.367223 + 0.212016i
\(238\) 5.26133 2.99534i 0.341042 0.194159i
\(239\) 1.45212 1.45212i 0.0939296 0.0939296i −0.658581 0.752510i \(-0.728843\pi\)
0.752510 + 0.658581i \(0.228843\pi\)
\(240\) 0.359336 + 0.0962839i 0.0231951 + 0.00621510i
\(241\) −1.95322 + 1.95322i −0.125818 + 0.125818i −0.767212 0.641394i \(-0.778356\pi\)
0.641394 + 0.767212i \(0.278356\pi\)
\(242\) 5.03318 18.7841i 0.323545 1.20749i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) −4.61815 7.99887i −0.295647 0.512075i
\(245\) −0.519768 0.146033i −0.0332068 0.00932972i
\(246\) 1.65660i 0.105621i
\(247\) −18.1428 + 9.12199i −1.15440 + 0.580419i
\(248\) −8.42793 + 4.86587i −0.535174 + 0.308983i
\(249\) 3.49274 + 13.0351i 0.221344 + 0.826066i
\(250\) 1.42556i 0.0901600i
\(251\) 11.9299 20.6631i 0.753006 1.30424i −0.193353 0.981129i \(-0.561936\pi\)
0.946359 0.323116i \(-0.104730\pi\)
\(252\) 3.63557 0.950615i 0.229019 0.0598831i
\(253\) 1.32833 + 4.95738i 0.0835111 + 0.311668i
\(254\) 6.60846 24.6631i 0.414652 1.54750i
\(255\) −0.0921787 0.0246992i −0.00577245 0.00154672i
\(256\) 20.9659 1.31037
\(257\) 6.71724 0.419010 0.209505 0.977808i \(-0.432815\pi\)
0.209505 + 0.977808i \(0.432815\pi\)
\(258\) −4.43466 1.18826i −0.276090 0.0739781i
\(259\) 6.02822 + 10.5886i 0.374575 + 0.657943i
\(260\) −0.216890 + 0.330092i −0.0134510 + 0.0204714i
\(261\) −1.84462 + 3.19498i −0.114179 + 0.197764i
\(262\) 25.5198 6.83800i 1.57662 0.422453i
\(263\) −7.73235 + 13.3928i −0.476797 + 0.825836i −0.999646 0.0265886i \(-0.991536\pi\)
0.522850 + 0.852425i \(0.324869\pi\)
\(264\) 0.373269 + 0.646521i 0.0229731 + 0.0397906i
\(265\) −0.627528 0.627528i −0.0385487 0.0385487i
\(266\) −6.97151 26.6621i −0.427451 1.63476i
\(267\) −4.29859 + 1.15180i −0.263069 + 0.0704892i
\(268\) −2.86268 + 0.767052i −0.174866 + 0.0468552i
\(269\) 0.350892i 0.0213943i 0.999943 + 0.0106971i \(0.00340507\pi\)
−0.999943 + 0.0106971i \(0.996595\pi\)
\(270\) −0.123530 0.0713202i −0.00751781 0.00434041i
\(271\) 7.06051 7.06051i 0.428895 0.428895i −0.459357 0.888252i \(-0.651920\pi\)
0.888252 + 0.459357i \(0.151920\pi\)
\(272\) −5.96794 −0.361860
\(273\) 0.607937 9.52000i 0.0367940 0.576177i
\(274\) 7.81340 0.472025
\(275\) −2.45902 + 2.45902i −0.148285 + 0.148285i
\(276\) −9.06563 5.23405i −0.545687 0.315053i
\(277\) 9.69499i 0.582516i −0.956645 0.291258i \(-0.905926\pi\)
0.956645 0.291258i \(-0.0940738\pi\)
\(278\) −17.5869 + 4.71239i −1.05479 + 0.282630i
\(279\) 8.76813 2.34941i 0.524934 0.140656i
\(280\) 0.153754 + 0.155626i 0.00918859 + 0.00930043i
\(281\) −22.0548 22.0548i −1.31568 1.31568i −0.917161 0.398518i \(-0.869525\pi\)
−0.398518 0.917161i \(-0.630475\pi\)
\(282\) 0.387414 + 0.671022i 0.0230702 + 0.0399588i
\(283\) 2.07530 3.59453i 0.123364 0.213673i −0.797728 0.603017i \(-0.793965\pi\)
0.921092 + 0.389344i \(0.127298\pi\)
\(284\) 0.632522 0.169484i 0.0375333 0.0100570i
\(285\) −0.217197 + 0.376196i −0.0128656 + 0.0222839i
\(286\) −4.54697 + 0.941028i −0.268868 + 0.0556441i
\(287\) −1.19735 + 2.04521i −0.0706776 + 0.120725i
\(288\) −6.54527 1.75380i −0.385684 0.103344i
\(289\) −15.4691 −0.909946
\(290\) 0.526236 0.0309016
\(291\) 15.6536 + 4.19437i 0.917631 + 0.245879i
\(292\) −1.86949 + 6.97701i −0.109403 + 0.408299i
\(293\) 4.12495 + 15.3945i 0.240982 + 0.899357i 0.975361 + 0.220617i \(0.0708070\pi\)
−0.734379 + 0.678740i \(0.762526\pi\)
\(294\) 12.4633 + 3.50167i 0.726874 + 0.204221i
\(295\) −0.540128 + 0.935529i −0.0314475 + 0.0544686i
\(296\) 4.93718i 0.286968i
\(297\) −0.180227 0.672618i −0.0104579 0.0390293i
\(298\) −5.62285 + 3.24635i −0.325723 + 0.188056i
\(299\) −19.8433 + 17.6752i −1.14757 + 1.02219i
\(300\) 7.09311i 0.409521i
\(301\) −4.61610 4.67228i −0.266068 0.269306i
\(302\) 17.8764 + 30.9629i 1.02867 + 1.78171i
\(303\) −8.77056 + 5.06369i −0.503856 + 0.290901i
\(304\) −7.03100 + 26.2401i −0.403256 + 1.50497i
\(305\) −0.354657 + 0.354657i −0.0203076 + 0.0203076i
\(306\) 2.21031 + 0.592251i 0.126355 + 0.0338568i
\(307\) 5.87701 5.87701i 0.335419 0.335419i −0.519221 0.854640i \(-0.673778\pi\)
0.854640 + 0.519221i \(0.173778\pi\)
\(308\) 0.0158283 2.61667i 0.000901902 0.149099i
\(309\) −2.55198 + 1.47339i −0.145177 + 0.0838180i
\(310\) −0.915569 0.915569i −0.0520008 0.0520008i
\(311\) 12.8619 + 22.2775i 0.729331 + 1.26324i 0.957166 + 0.289539i \(0.0935020\pi\)
−0.227835 + 0.973700i \(0.573165\pi\)
\(312\) −2.12263 + 3.23049i −0.120170 + 0.182891i
\(313\) −19.5449 11.2842i −1.10474 0.637823i −0.167280 0.985909i \(-0.553498\pi\)
−0.937463 + 0.348086i \(0.886832\pi\)
\(314\) −1.21301 + 4.52703i −0.0684543 + 0.255475i
\(315\) −0.100959 0.177335i −0.00568841 0.00999172i
\(316\) −8.02948 4.63582i −0.451693 0.260785i
\(317\) −2.81372 10.5010i −0.158034 0.589792i −0.998826 0.0484339i \(-0.984577\pi\)
0.840792 0.541358i \(-0.182090\pi\)
\(318\) 15.0472 + 15.0472i 0.843806 + 0.843806i
\(319\) 1.81655 + 1.81655i 0.101707 + 0.101707i
\(320\) 0.0575950 + 0.214947i 0.00321966 + 0.0120159i
\(321\) −14.5853 8.42085i −0.814075 0.470006i
\(322\) −17.8424 31.3402i −0.994318 1.74652i
\(323\) 1.80363 6.73123i 0.100356 0.374536i
\(324\) 1.23003 + 0.710156i 0.0683348 + 0.0394531i
\(325\) −17.0949 5.65602i −0.948256 0.313740i
\(326\) 13.1110 + 22.7089i 0.726152 + 1.25773i
\(327\) 7.97692 + 7.97692i 0.441124 + 0.441124i
\(328\) 0.831654 0.480156i 0.0459204 0.0265122i
\(329\) −0.00670501 + 1.10844i −0.000369659 + 0.0611105i
\(330\) −0.0702348 + 0.0702348i −0.00386630 + 0.00386630i
\(331\) 20.9107 + 5.60302i 1.14936 + 0.307970i 0.782708 0.622389i \(-0.213838\pi\)
0.366650 + 0.930359i \(0.380505\pi\)
\(332\) −13.5531 + 13.5531i −0.743824 + 0.743824i
\(333\) −1.19192 + 4.44832i −0.0653170 + 0.243766i
\(334\) 5.17494 2.98775i 0.283160 0.163483i
\(335\) 0.0804682 + 0.139375i 0.00439645 + 0.00761487i
\(336\) −8.96889 9.07806i −0.489293 0.495249i
\(337\) 15.6989i 0.855172i 0.903975 + 0.427586i \(0.140636\pi\)
−0.903975 + 0.427586i \(0.859364\pi\)
\(338\) −14.9290 18.8456i −0.812032 1.02507i
\(339\) 9.87175 5.69946i 0.536160 0.309552i
\(340\) −0.0350806 0.130923i −0.00190251 0.00710027i
\(341\) 6.32103i 0.342303i
\(342\) 5.20806 9.02063i 0.281620 0.487780i
\(343\) 12.8560 + 13.3313i 0.694159 + 0.719821i
\(344\) 0.688822 + 2.57072i 0.0371388 + 0.138604i
\(345\) −0.147126 + 0.549082i −0.00792100 + 0.0295616i
\(346\) 1.14036 + 0.305559i 0.0613062 + 0.0164270i
\(347\) −20.2272 −1.08585 −0.542927 0.839780i \(-0.682684\pi\)
−0.542927 + 0.839780i \(0.682684\pi\)
\(348\) −5.23988 −0.280887
\(349\) −22.3749 5.99533i −1.19770 0.320923i −0.395775 0.918348i \(-0.629524\pi\)
−0.801925 + 0.597425i \(0.796191\pi\)
\(350\) 12.3459 21.0881i 0.659917 1.12721i
\(351\) 2.69235 2.39818i 0.143707 0.128005i
\(352\) −2.35927 + 4.08638i −0.125750 + 0.217805i
\(353\) 12.3710 3.31480i 0.658442 0.176429i 0.0858994 0.996304i \(-0.472624\pi\)
0.572543 + 0.819875i \(0.305957\pi\)
\(354\) 12.9515 22.4326i 0.688364 1.19228i
\(355\) −0.0177798 0.0307956i −0.000943656 0.00163446i
\(356\) −4.46942 4.46942i −0.236879 0.236879i
\(357\) 2.30074 + 2.32875i 0.121768 + 0.123250i
\(358\) −13.9830 + 3.74675i −0.739027 + 0.198022i
\(359\) −26.0068 + 6.96850i −1.37259 + 0.367783i −0.868423 0.495825i \(-0.834866\pi\)
−0.504163 + 0.863608i \(0.668199\pi\)
\(360\) 0.0826869i 0.00435798i
\(361\) −11.0167 6.36050i −0.579827 0.334763i
\(362\) −10.1228 + 10.1228i −0.532041 + 0.532041i
\(363\) 10.5151 0.551900
\(364\) 12.1416 6.01291i 0.636392 0.315162i
\(365\) 0.392240 0.0205308
\(366\) 8.50417 8.50417i 0.444520 0.444520i
\(367\) −21.5194 12.4242i −1.12330 0.648540i −0.181062 0.983472i \(-0.557953\pi\)
−0.942242 + 0.334932i \(0.891287\pi\)
\(368\) 35.5493i 1.85314i
\(369\) −0.865225 + 0.231836i −0.0450418 + 0.0120689i
\(370\) 0.634510 0.170016i 0.0329866 0.00883874i
\(371\) 7.70121 + 29.4528i 0.399827 + 1.52911i
\(372\) 9.11658 + 9.11658i 0.472673 + 0.472673i
\(373\) 16.7470 + 29.0067i 0.867129 + 1.50191i 0.864918 + 0.501914i \(0.167371\pi\)
0.00221133 + 0.999998i \(0.499296\pi\)
\(374\) 0.796718 1.37996i 0.0411973 0.0713558i
\(375\) −0.744552 + 0.199502i −0.0384485 + 0.0103022i
\(376\) 0.224579 0.388983i 0.0115818 0.0200603i
\(377\) −4.17827 + 12.6285i −0.215192 + 0.650401i
\(378\) 2.42086 + 4.25225i 0.124516 + 0.218712i
\(379\) 2.63846 + 0.706973i 0.135529 + 0.0363148i 0.325946 0.945389i \(-0.394317\pi\)
−0.190417 + 0.981703i \(0.560984\pi\)
\(380\) −0.616974 −0.0316501
\(381\) 13.8061 0.707308
\(382\) 24.2002 + 6.48442i 1.23819 + 0.331772i
\(383\) 5.37033 20.0424i 0.274411 1.02412i −0.681824 0.731516i \(-0.738813\pi\)
0.956235 0.292600i \(-0.0945204\pi\)
\(384\) 2.12655 + 7.93641i 0.108520 + 0.405003i
\(385\) −0.137475 + 0.0359464i −0.00700636 + 0.00183200i
\(386\) −14.3606 + 24.8733i −0.730935 + 1.26602i
\(387\) 2.48247i 0.126191i
\(388\) 5.95732 + 22.2330i 0.302437 + 1.12871i
\(389\) 29.3050 16.9193i 1.48582 0.857841i 0.485955 0.873984i \(-0.338472\pi\)
0.999870 + 0.0161427i \(0.00513862\pi\)
\(390\) −0.488266 0.161548i −0.0247243 0.00818029i
\(391\) 9.11928i 0.461182i
\(392\) −1.85449 7.27181i −0.0936657 0.367282i
\(393\) 7.14282 + 12.3717i 0.360308 + 0.624071i
\(394\) −21.4769 + 12.3997i −1.08199 + 0.624686i
\(395\) −0.130310 + 0.486325i −0.00655662 + 0.0244697i
\(396\) 0.699348 0.699348i 0.0351436 0.0351436i
\(397\) −4.02654 1.07891i −0.202086 0.0541488i 0.156356 0.987701i \(-0.450025\pi\)
−0.358442 + 0.933552i \(0.616692\pi\)
\(398\) 4.29752 4.29752i 0.215415 0.215415i
\(399\) 12.9497 7.37242i 0.648295 0.369083i
\(400\) −20.8608 + 12.0440i −1.04304 + 0.602200i
\(401\) 26.9224 + 26.9224i 1.34444 + 1.34444i 0.891584 + 0.452856i \(0.149595\pi\)
0.452856 + 0.891584i \(0.350405\pi\)
\(402\) −1.92951 3.34201i −0.0962354 0.166685i
\(403\) 29.2412 14.7021i 1.45661 0.732364i
\(404\) −12.4569 7.19202i −0.619756 0.357816i
\(405\) 0.0199621 0.0744995i 0.000991924 0.00370191i
\(406\) −15.5784 9.12028i −0.773143 0.452632i
\(407\) 2.77720 + 1.60342i 0.137661 + 0.0794785i
\(408\) −0.343321 1.28129i −0.0169969 0.0634334i
\(409\) 13.5134 + 13.5134i 0.668194 + 0.668194i 0.957298 0.289104i \(-0.0933573\pi\)
−0.289104 + 0.957298i \(0.593357\pi\)
\(410\) 0.0903468 + 0.0903468i 0.00446191 + 0.00446191i
\(411\) 1.09346 + 4.08086i 0.0539365 + 0.201294i
\(412\) −3.62461 2.09267i −0.178572 0.103098i
\(413\) 32.2035 18.3339i 1.58463 0.902150i
\(414\) 3.52787 13.1662i 0.173385 0.647083i
\(415\) 0.901386 + 0.520415i 0.0442473 + 0.0255462i
\(416\) −24.3911 1.40950i −1.19587 0.0691066i
\(417\) −4.92246 8.52594i −0.241054 0.417517i
\(418\) −5.12880 5.12880i −0.250858 0.250858i
\(419\) −29.2306 + 16.8763i −1.42801 + 0.824460i −0.996963 0.0778716i \(-0.975188\pi\)
−0.431043 + 0.902331i \(0.641854\pi\)
\(420\) 0.146430 0.250118i 0.00714507 0.0122045i
\(421\) 20.2556 20.2556i 0.987197 0.987197i −0.0127222 0.999919i \(-0.504050\pi\)
0.999919 + 0.0127222i \(0.00404970\pi\)
\(422\) 22.5549 + 6.04357i 1.09796 + 0.294196i
\(423\) −0.296250 + 0.296250i −0.0144042 + 0.0144042i
\(424\) 3.19273 11.9154i 0.155053 0.578664i
\(425\) 5.35132 3.08958i 0.259577 0.149867i
\(426\) 0.426335 + 0.738434i 0.0206560 + 0.0357772i
\(427\) 16.6457 4.35246i 0.805542 0.210630i
\(428\) 23.9205i 1.15624i
\(429\) −1.12782 2.24314i −0.0544518 0.108300i
\(430\) −0.306660 + 0.177050i −0.0147885 + 0.00853812i
\(431\) 4.52853 + 16.9007i 0.218132 + 0.814079i 0.985041 + 0.172323i \(0.0551272\pi\)
−0.766909 + 0.641756i \(0.778206\pi\)
\(432\) 4.82334i 0.232063i
\(433\) 6.74582 11.6841i 0.324184 0.561502i −0.657163 0.753748i \(-0.728244\pi\)
0.981347 + 0.192246i \(0.0615771\pi\)
\(434\) 11.2361 + 42.9719i 0.539352 + 2.06272i
\(435\) 0.0736451 + 0.274847i 0.00353101 + 0.0131779i
\(436\) −4.14696 + 15.4767i −0.198603 + 0.741198i
\(437\) −40.0960 10.7437i −1.91805 0.513940i
\(438\) −9.40535 −0.449405
\(439\) −23.7377 −1.13294 −0.566470 0.824082i \(-0.691691\pi\)
−0.566470 + 0.824082i \(0.691691\pi\)
\(440\) 0.0556167 + 0.0149024i 0.00265142 + 0.000710446i
\(441\) −0.0846832 + 6.99949i −0.00403254 + 0.333309i
\(442\) 8.23678 + 0.475984i 0.391784 + 0.0226402i
\(443\) 17.9783 31.1393i 0.854173 1.47947i −0.0232374 0.999730i \(-0.507397\pi\)
0.877410 0.479741i \(-0.159269\pi\)
\(444\) −6.31800 + 1.69290i −0.299839 + 0.0803417i
\(445\) −0.171618 + 0.297250i −0.00813545 + 0.0140910i
\(446\) 18.6720 + 32.3408i 0.884144 + 1.53138i
\(447\) −2.48244 2.48244i −0.117415 0.117415i
\(448\) 2.02028 7.36138i 0.0954492 0.347792i
\(449\) 27.2216 7.29399i 1.28466 0.344225i 0.449033 0.893515i \(-0.351769\pi\)
0.835632 + 0.549290i \(0.185102\pi\)
\(450\) 8.92133 2.39046i 0.420556 0.112688i
\(451\) 0.623749i 0.0293712i
\(452\) 14.0210 + 8.09501i 0.659491 + 0.380757i
\(453\) −13.6698 + 13.6698i −0.642264 + 0.642264i
\(454\) −23.6255 −1.10880
\(455\) −0.486041 0.552352i −0.0227860 0.0258946i
\(456\) −6.03810 −0.282760
\(457\) 0.0883512 0.0883512i 0.00413290 0.00413290i −0.705037 0.709170i \(-0.749070\pi\)
0.709170 + 0.705037i \(0.249070\pi\)
\(458\) −19.7039 11.3761i −0.920703 0.531568i
\(459\) 1.23731i 0.0577525i
\(460\) −0.779868 + 0.208965i −0.0363615 + 0.00974304i
\(461\) −16.8148 + 4.50551i −0.783143 + 0.209843i −0.628170 0.778076i \(-0.716196\pi\)
−0.154973 + 0.987919i \(0.549529\pi\)
\(462\) 3.29644 0.861942i 0.153364 0.0401012i
\(463\) −1.07038 1.07038i −0.0497447 0.0497447i 0.681797 0.731542i \(-0.261199\pi\)
−0.731542 + 0.681797i \(0.761199\pi\)
\(464\) 8.89725 + 15.4105i 0.413044 + 0.715414i
\(465\) 0.350060 0.606322i 0.0162337 0.0281175i
\(466\) 0.0744944 0.0199607i 0.00345089 0.000924663i
\(467\) −14.6317 + 25.3429i −0.677075 + 1.17273i 0.298782 + 0.954321i \(0.403420\pi\)
−0.975858 + 0.218408i \(0.929914\pi\)
\(468\) 4.86181 + 1.60858i 0.224737 + 0.0743565i
\(469\) 0.0333942 5.52059i 0.00154200 0.254917i
\(470\) 0.0577244 + 0.0154672i 0.00266263 + 0.000713449i
\(471\) −2.53417 −0.116769
\(472\) −15.0156 −0.691151
\(473\) −1.66975 0.447409i −0.0767754 0.0205719i
\(474\) 3.12465 11.6614i 0.143520 0.535624i
\(475\) −7.27985 27.1688i −0.334023 1.24659i
\(476\) −1.23053 + 4.48375i −0.0564014 + 0.205512i
\(477\) −5.75319 + 9.96481i −0.263420 + 0.456257i
\(478\) 3.79795i 0.173714i
\(479\) −0.884245 3.30005i −0.0404022 0.150783i 0.942778 0.333421i \(-0.108203\pi\)
−0.983180 + 0.182638i \(0.941536\pi\)
\(480\) −0.452610 + 0.261314i −0.0206587 + 0.0119273i
\(481\) −0.957931 + 16.5768i −0.0436779 + 0.755836i
\(482\) 5.10857i 0.232689i
\(483\) 13.8717 13.7049i 0.631183 0.623593i
\(484\) 7.46736 + 12.9339i 0.339426 + 0.587903i
\(485\) 1.08246 0.624958i 0.0491519 0.0283779i
\(486\) −0.478662 + 1.78639i −0.0217126 + 0.0810324i
\(487\) −4.37510 + 4.37510i −0.198255 + 0.198255i −0.799251 0.600997i \(-0.794770\pi\)
0.600997 + 0.799251i \(0.294770\pi\)
\(488\) −6.73418 1.80442i −0.304842 0.0816822i
\(489\) −10.0258 + 10.0258i −0.453382 + 0.453382i
\(490\) 0.870688 0.488744i 0.0393337 0.0220792i
\(491\) −33.1219 + 19.1229i −1.49477 + 0.863006i −0.999982 0.00600745i \(-0.998088\pi\)
−0.494788 + 0.869014i \(0.664754\pi\)
\(492\) −0.899609 0.899609i −0.0405575 0.0405575i
\(493\) −2.28236 3.95317i −0.102793 0.178042i
\(494\) 11.7968 35.6550i 0.530764 1.60419i
\(495\) −0.0465120 0.0268537i −0.00209056 0.00120698i
\(496\) 11.3320 42.2917i 0.508823 1.89895i
\(497\) −0.00737861 + 1.21980i −0.000330976 + 0.0547156i
\(498\) −21.6139 12.4788i −0.968544 0.559189i
\(499\) −1.07153 3.99901i −0.0479684 0.179020i 0.937785 0.347216i \(-0.112873\pi\)
−0.985754 + 0.168195i \(0.946206\pi\)
\(500\) −0.774141 0.774141i −0.0346206 0.0346206i
\(501\) 2.28469 + 2.28469i 0.102072 + 0.102072i
\(502\) 11.4207 + 42.6228i 0.509733 + 1.90235i
\(503\) −20.9643 12.1038i −0.934752 0.539680i −0.0464410 0.998921i \(-0.514788\pi\)
−0.888311 + 0.459241i \(0.848121\pi\)
\(504\) 1.43306 2.44782i 0.0638336 0.109035i
\(505\) −0.202163 + 0.754484i −0.00899616 + 0.0335741i
\(506\) −8.22000 4.74582i −0.365424 0.210977i
\(507\) 7.75358 10.4347i 0.344349 0.463419i
\(508\) 9.80449 + 16.9819i 0.435004 + 0.753449i
\(509\) −16.4577 16.4577i −0.729476 0.729476i 0.241039 0.970515i \(-0.422512\pi\)
−0.970515 + 0.241039i \(0.922512\pi\)
\(510\) 0.152845 0.0882449i 0.00676807 0.00390755i
\(511\) −11.6117 6.79797i −0.513670 0.300725i
\(512\) −15.7980 + 15.7980i −0.698179 + 0.698179i
\(513\) 5.44023 + 1.45771i 0.240192 + 0.0643593i
\(514\) −8.78434 + 8.78434i −0.387460 + 0.387460i
\(515\) −0.0588237 + 0.219533i −0.00259208 + 0.00967379i
\(516\) 3.05350 1.76294i 0.134423 0.0776092i
\(517\) 0.145871 + 0.252655i 0.00641538 + 0.0111118i
\(518\) −21.7303 5.96373i −0.954774 0.262031i
\(519\) 0.638361i 0.0280209i
\(520\) 0.0604201 + 0.291945i 0.00264960 + 0.0128026i
\(521\) 29.3950 16.9712i 1.28782 0.743522i 0.309553 0.950882i \(-0.399821\pi\)
0.978265 + 0.207360i \(0.0664872\pi\)
\(522\) −1.76590 6.59044i −0.0772915 0.288456i
\(523\) 7.59842i 0.332256i 0.986104 + 0.166128i \(0.0531264\pi\)
−0.986104 + 0.166128i \(0.946874\pi\)
\(524\) −10.1450 + 17.5717i −0.443188 + 0.767624i
\(525\) 12.7419 + 3.49692i 0.556101 + 0.152618i
\(526\) −7.40236 27.6260i −0.322758 1.20455i
\(527\) −2.90694 + 10.8489i −0.126628 + 0.472584i
\(528\) −3.24426 0.869298i −0.141188 0.0378313i
\(529\) −31.3209 −1.36178
\(530\) 1.64127 0.0712924
\(531\) 13.5288 + 3.62504i 0.587102 + 0.157313i
\(532\) 18.2646 + 10.6929i 0.791870 + 0.463595i
\(533\) −2.88547 + 1.45078i −0.124984 + 0.0628402i
\(534\) 4.11514 7.12764i 0.178080 0.308443i
\(535\) −1.25470 + 0.336196i −0.0542454 + 0.0145350i
\(536\) −1.11851 + 1.93732i −0.0483125 + 0.0836797i
\(537\) −3.91377 6.77885i −0.168892 0.292529i
\(538\) −0.458872 0.458872i −0.0197834 0.0197834i
\(539\) 4.69272 + 1.31846i 0.202130 + 0.0567901i
\(540\) 0.105813 0.0283524i 0.00455345 0.00122009i
\(541\) −22.5943 + 6.05411i −0.971403 + 0.260287i −0.709420 0.704786i \(-0.751043\pi\)
−0.261983 + 0.965073i \(0.584376\pi\)
\(542\) 18.4665i 0.793203i
\(543\) −6.70366 3.87036i −0.287682 0.166093i
\(544\) 5.92851 5.92851i 0.254183 0.254183i
\(545\) 0.870081 0.0372702
\(546\) 11.6546 + 13.2446i 0.498769 + 0.566817i
\(547\) 39.6600 1.69574 0.847870 0.530204i \(-0.177885\pi\)
0.847870 + 0.530204i \(0.177885\pi\)
\(548\) −4.24303 + 4.24303i −0.181253 + 0.181253i
\(549\) 5.63177 + 3.25150i 0.240358 + 0.138771i
\(550\) 6.43147i 0.274239i
\(551\) −20.0704 + 5.37784i −0.855026 + 0.229104i
\(552\) −7.63228 + 2.04506i −0.324852 + 0.0870437i
\(553\) 12.2862 12.1385i 0.522463 0.516180i
\(554\) 12.6784 + 12.6784i 0.538655 + 0.538655i
\(555\) 0.177595 + 0.307604i 0.00753851 + 0.0130571i
\(556\) 6.99142 12.1095i 0.296502 0.513557i
\(557\) −11.3970 + 3.05383i −0.482908 + 0.129395i −0.492056 0.870563i \(-0.663755\pi\)
0.00914829 + 0.999958i \(0.497088\pi\)
\(558\) −8.39395 + 14.5387i −0.355344 + 0.615474i
\(559\) −1.81397 8.76494i −0.0767226 0.370717i
\(560\) −0.984234 0.00595366i −0.0415915 0.000251588i
\(561\) 0.832234 + 0.222996i 0.0351370 + 0.00941492i
\(562\) 57.6834 2.43323
\(563\) 18.3834 0.774770 0.387385 0.921918i \(-0.373378\pi\)
0.387385 + 0.921918i \(0.373378\pi\)
\(564\) −0.574779 0.154011i −0.0242025 0.00648505i
\(565\) 0.227546 0.849214i 0.00957294 0.0357267i
\(566\) 1.98674 + 7.41460i 0.0835088 + 0.311659i
\(567\) −1.88211 + 1.85948i −0.0790412 + 0.0780907i
\(568\) 0.247141 0.428061i 0.0103698 0.0179610i
\(569\) 13.5278i 0.567116i 0.958955 + 0.283558i \(0.0915149\pi\)
−0.958955 + 0.283558i \(0.908485\pi\)
\(570\) −0.207928 0.775997i −0.00870913 0.0325029i
\(571\) −12.8299 + 7.40732i −0.536913 + 0.309987i −0.743827 0.668372i \(-0.766991\pi\)
0.206914 + 0.978359i \(0.433658\pi\)
\(572\) 1.95819 2.98023i 0.0818760 0.124610i
\(573\) 13.5470i 0.565933i
\(574\) −1.10876 4.24039i −0.0462789 0.176991i
\(575\) −18.4038 31.8763i −0.767490 1.32933i
\(576\) 2.49867 1.44261i 0.104111 0.0601087i
\(577\) −5.26970 + 19.6668i −0.219381 + 0.818740i 0.765198 + 0.643795i \(0.222641\pi\)
−0.984578 + 0.174944i \(0.944025\pi\)
\(578\) 20.2294 20.2294i 0.841431 0.841431i
\(579\) −15.0008 4.01944i −0.623410 0.167042i
\(580\) −0.285770 + 0.285770i −0.0118659 + 0.0118659i
\(581\) −17.6647 31.0282i −0.732857 1.28727i
\(582\) −25.9558 + 14.9856i −1.07590 + 0.621173i
\(583\) 5.66563 + 5.66563i 0.234646 + 0.234646i
\(584\) 2.72608 + 4.72171i 0.112806 + 0.195386i
\(585\) 0.0160432 0.277624i 0.000663306 0.0114784i
\(586\) −25.5262 14.7375i −1.05448 0.608802i
\(587\) −7.64015 + 28.5134i −0.315343 + 1.17688i 0.608327 + 0.793686i \(0.291841\pi\)
−0.923670 + 0.383189i \(0.874826\pi\)
\(588\) −8.66969 + 4.86657i −0.357532 + 0.200694i
\(589\) 44.2759 + 25.5627i 1.82436 + 1.05329i
\(590\) −0.517078 1.92976i −0.0212877 0.0794470i
\(591\) −9.48183 9.48183i −0.390030 0.390030i
\(592\) 15.7067 + 15.7067i 0.645541 + 0.645541i
\(593\) −9.26744 34.5866i −0.380568 1.42030i −0.845036 0.534710i \(-0.820421\pi\)
0.464467 0.885590i \(-0.346246\pi\)
\(594\) 1.11529 + 0.643914i 0.0457609 + 0.0264201i
\(595\) 0.252480 + 0.00152726i 0.0103507 + 6.26116e-5i
\(596\) 1.29055 4.81638i 0.0528628 0.197287i
\(597\) 2.84597 + 1.64312i 0.116478 + 0.0672485i
\(598\) 2.83530 49.0641i 0.115944 2.00638i
\(599\) 3.11170 + 5.38963i 0.127141 + 0.220214i 0.922568 0.385835i \(-0.126087\pi\)
−0.795427 + 0.606049i \(0.792753\pi\)
\(600\) −3.78586 3.78586i −0.154557 0.154557i
\(601\) 0.0256568 0.0148129i 0.00104656 0.000604232i −0.499477 0.866327i \(-0.666474\pi\)
0.500523 + 0.865723i \(0.333141\pi\)
\(602\) 12.1467 + 0.0734756i 0.495062 + 0.00299464i
\(603\) 1.47547 1.47547i 0.0600857 0.0600857i
\(604\) −26.5220 7.10654i −1.07916 0.289161i
\(605\) 0.573467 0.573467i 0.0233147 0.0233147i
\(606\) 4.84759 18.0915i 0.196920 0.734915i
\(607\) 22.7071 13.1100i 0.921653 0.532117i 0.0374913 0.999297i \(-0.488063\pi\)
0.884162 + 0.467180i \(0.154730\pi\)
\(608\) −19.0822 33.0513i −0.773883 1.34041i
\(609\) 2.58327 9.41279i 0.104680 0.381425i
\(610\) 0.927591i 0.0375571i
\(611\) −0.829506 + 1.26245i −0.0335582 + 0.0510733i
\(612\) −1.52192 + 0.878680i −0.0615199 + 0.0355185i
\(613\) 7.02053 + 26.2010i 0.283556 + 1.05825i 0.949888 + 0.312591i \(0.101197\pi\)
−0.666331 + 0.745656i \(0.732136\pi\)
\(614\) 15.3711i 0.620326i
\(615\) −0.0345434 + 0.0598309i −0.00139292 + 0.00241261i
\(616\) −1.38817 1.40507i −0.0559310 0.0566117i
\(617\) −10.0810 37.6229i −0.405847 1.51464i −0.802488 0.596668i \(-0.796491\pi\)
0.396641 0.917974i \(-0.370176\pi\)
\(618\) 1.41051 5.26409i 0.0567390 0.211753i
\(619\) 28.5176 + 7.64126i 1.14622 + 0.307128i 0.781448 0.623970i \(-0.214481\pi\)
0.364769 + 0.931098i \(0.381148\pi\)
\(620\) 0.994390 0.0399357
\(621\) 7.37027 0.295759
\(622\) −45.9528 12.3130i −1.84254 0.493707i
\(623\) 10.2322 5.82531i 0.409943 0.233386i
\(624\) −3.52446 17.0299i −0.141091 0.681742i
\(625\) 12.4554 21.5734i 0.498216 0.862936i
\(626\) 40.3162 10.8027i 1.61136 0.431762i
\(627\) 1.96096 3.39648i 0.0783131 0.135642i
\(628\) −1.79966 3.11710i −0.0718142 0.124386i
\(629\) −4.02916 4.02916i −0.160653 0.160653i
\(630\) 0.363934 + 0.0998792i 0.0144995 + 0.00397928i
\(631\) 36.5172 9.78475i 1.45373 0.389525i 0.556408 0.830909i \(-0.312179\pi\)
0.897318 + 0.441384i \(0.145512\pi\)
\(632\) −6.75995 + 1.81132i −0.268896 + 0.0720506i
\(633\) 12.6260i 0.501837i
\(634\) 17.4120 + 10.0528i 0.691518 + 0.399248i
\(635\) 0.752949 0.752949i 0.0298799 0.0298799i
\(636\) −16.3426 −0.648028
\(637\) 4.81560 + 24.7752i 0.190801 + 0.981629i
\(638\) −4.75111 −0.188098
\(639\) −0.326012 + 0.326012i −0.0128968 + 0.0128968i
\(640\) 0.548808 + 0.316855i 0.0216936 + 0.0125248i
\(641\) 4.14733i 0.163810i 0.996640 + 0.0819049i \(0.0261004\pi\)
−0.996640 + 0.0819049i \(0.973900\pi\)
\(642\) 30.0859 8.06149i 1.18740 0.318162i
\(643\) 39.3048 10.5317i 1.55003 0.415330i 0.620541 0.784174i \(-0.286913\pi\)
0.929491 + 0.368845i \(0.120247\pi\)
\(644\) 26.7084 + 7.32993i 1.05246 + 0.288840i
\(645\) −0.135388 0.135388i −0.00533088 0.00533088i
\(646\) 6.44397 + 11.1613i 0.253535 + 0.439135i
\(647\) 17.8485 30.9146i 0.701698 1.21538i −0.266172 0.963926i \(-0.585759\pi\)
0.967870 0.251451i \(-0.0809078\pi\)
\(648\) 1.03555 0.277475i 0.0406802 0.0109002i
\(649\) 4.87654 8.44641i 0.191421 0.331551i
\(650\) 29.7521 14.9590i 1.16697 0.586740i
\(651\) −20.8713 + 11.8823i −0.818010 + 0.465704i
\(652\) −19.4518 5.21211i −0.761793 0.204122i
\(653\) 35.3648 1.38393 0.691966 0.721930i \(-0.256745\pi\)
0.691966 + 0.721930i \(0.256745\pi\)
\(654\) −20.8633 −0.815819
\(655\) 1.06427 + 0.285171i 0.0415846 + 0.0111426i
\(656\) −1.11822 + 4.17327i −0.0436593 + 0.162939i
\(657\) −1.31625 4.91231i −0.0513518 0.191647i
\(658\) −1.44078 1.45831i −0.0561674 0.0568510i
\(659\) −1.02268 + 1.77133i −0.0398378 + 0.0690011i −0.885257 0.465103i \(-0.846017\pi\)
0.845419 + 0.534104i \(0.179351\pi\)
\(660\) 0.0762813i 0.00296925i
\(661\) −5.33936 19.9268i −0.207677 0.775061i −0.988617 0.150455i \(-0.951926\pi\)
0.780940 0.624606i \(-0.214740\pi\)
\(662\) −34.6728 + 20.0184i −1.34760 + 0.778036i
\(663\) 0.904112 + 4.36859i 0.0351128 + 0.169662i
\(664\) 14.4676i 0.561453i
\(665\) 0.304170 1.10832i 0.0117952 0.0429786i
\(666\) −4.25848 7.37591i −0.165013 0.285811i
\(667\) −23.5479 + 13.5954i −0.911778 + 0.526415i
\(668\) −1.18774 + 4.43271i −0.0459551 + 0.171507i
\(669\) −14.2782 + 14.2782i −0.552026 + 0.552026i
\(670\) −0.287496 0.0770342i −0.0111069 0.00297609i
\(671\) 3.20202 3.20202i 0.123613 0.123613i
\(672\) 17.9277 + 0.108445i 0.691577 + 0.00418336i
\(673\) 17.7096 10.2246i 0.682655 0.394131i −0.118199 0.992990i \(-0.537712\pi\)
0.800855 + 0.598859i \(0.204379\pi\)
\(674\) −20.5299 20.5299i −0.790781 0.790781i
\(675\) 2.49703 + 4.32498i 0.0961106 + 0.166468i
\(676\) 18.3412 + 2.12688i 0.705429 + 0.0818032i
\(677\) −38.1123 22.0042i −1.46478 0.845689i −0.465549 0.885022i \(-0.654143\pi\)
−0.999226 + 0.0393333i \(0.987477\pi\)
\(678\) −5.45623 + 20.3629i −0.209545 + 0.782034i
\(679\) −42.8758 0.259357i −1.64542 0.00995319i
\(680\) −0.0886022 0.0511545i −0.00339774 0.00196169i
\(681\) −3.30632 12.3394i −0.126698 0.472845i
\(682\) 8.26620 + 8.26620i 0.316529 + 0.316529i
\(683\) −3.43053 3.43053i −0.131265 0.131265i 0.638422 0.769687i \(-0.279588\pi\)
−0.769687 + 0.638422i \(0.779588\pi\)
\(684\) 2.07040 + 7.72682i 0.0791636 + 0.295443i
\(685\) 0.282194 + 0.162925i 0.0107821 + 0.00622504i
\(686\) −34.2459 0.621523i −1.30751 0.0237299i
\(687\) 3.18409 11.8832i 0.121481 0.453371i
\(688\) −10.3696 5.98690i −0.395338 0.228248i
\(689\) −13.0316 + 39.3870i −0.496463 + 1.50052i
\(690\) −0.525649 0.910452i −0.0200111 0.0346603i
\(691\) 32.7898 + 32.7898i 1.24738 + 1.24738i 0.956872 + 0.290511i \(0.0938254\pi\)
0.290511 + 0.956872i \(0.406175\pi\)
\(692\) −0.785200 + 0.453336i −0.0298488 + 0.0172332i
\(693\) 0.911510 + 1.60107i 0.0346254 + 0.0608196i
\(694\) 26.4517 26.4517i 1.00409 1.00409i
\(695\) −0.733441 0.196525i −0.0278210 0.00745462i
\(696\) −2.79673 + 2.79673i −0.106010 + 0.106010i
\(697\) 0.286852 1.07055i 0.0108653 0.0405499i
\(698\) 37.1006 21.4200i 1.40428 0.810760i
\(699\) 0.0208505 + 0.0361142i 0.000788640 + 0.00136596i
\(700\) 4.74742 + 18.1562i 0.179436 + 0.686240i
\(701\) 16.7923i 0.634236i −0.948386 0.317118i \(-0.897285\pi\)
0.948386 0.317118i \(-0.102715\pi\)
\(702\) −0.384694 + 6.65703i −0.0145193 + 0.251253i
\(703\) −22.4624 + 12.9687i −0.847186 + 0.489123i
\(704\) −0.519996 1.94065i −0.0195981 0.0731410i
\(705\) 0.0323134i 0.00121699i
\(706\) −11.8431 + 20.5128i −0.445720 + 0.772009i
\(707\) 19.0608 18.8316i 0.716857 0.708236i
\(708\) 5.14869 + 19.2152i 0.193500 + 0.722151i
\(709\) −1.77899 + 6.63927i −0.0668113 + 0.249343i −0.991252 0.131983i \(-0.957866\pi\)
0.924441 + 0.381326i \(0.124532\pi\)
\(710\) 0.0635235 + 0.0170211i 0.00238399 + 0.000638789i
\(711\) 6.52789 0.244815
\(712\) −4.77100 −0.178801
\(713\) 64.6235 + 17.3158i 2.42017 + 0.648483i
\(714\) −6.05412 0.0366215i −0.226570 0.00137053i
\(715\) −0.183844 0.0608265i −0.00687536 0.00227478i
\(716\) 5.55877 9.62808i 0.207741 0.359818i
\(717\) −1.98363 + 0.531511i −0.0740799 + 0.0198497i
\(718\) 24.8969 43.1228i 0.929145 1.60933i
\(719\) 18.7721 + 32.5143i 0.700082 + 1.21258i 0.968437 + 0.249258i \(0.0801867\pi\)
−0.268355 + 0.963320i \(0.586480\pi\)
\(720\) −0.263052 0.263052i −0.00980339 0.00980339i
\(721\) 5.54615 5.47946i 0.206550 0.204066i
\(722\) 22.7247 6.08906i 0.845725 0.226611i
\(723\) 2.66815 0.714928i 0.0992295 0.0265885i
\(724\) 10.9942i 0.408598i
\(725\) −15.9559 9.21215i −0.592588 0.342131i
\(726\) −13.7509 + 13.7509i −0.510344 + 0.510344i
\(727\) −23.0678 −0.855536 −0.427768 0.903888i \(-0.640700\pi\)
−0.427768 + 0.903888i \(0.640700\pi\)
\(728\) 3.27111 9.68974i 0.121235 0.359126i
\(729\) −1.00000 −0.0370370
\(730\) −0.512943 + 0.512943i −0.0189849 + 0.0189849i
\(731\) 2.66006 + 1.53579i 0.0983859 + 0.0568032i
\(732\) 9.23630i 0.341383i
\(733\) −17.5240 + 4.69555i −0.647265 + 0.173434i −0.567492 0.823379i \(-0.692086\pi\)
−0.0797732 + 0.996813i \(0.525420\pi\)
\(734\) 44.3891 11.8940i 1.63843 0.439017i
\(735\) 0.377116 + 0.386352i 0.0139101 + 0.0142508i
\(736\) −35.3145 35.3145i −1.30171 1.30171i
\(737\) −0.726506 1.25835i −0.0267612 0.0463518i
\(738\) 0.828301 1.43466i 0.0304902 0.0528105i
\(739\) −9.95216 + 2.66667i −0.366096 + 0.0980952i −0.437177 0.899375i \(-0.644022\pi\)
0.0710811 + 0.997471i \(0.477355\pi\)
\(740\) −0.252241 + 0.436894i −0.00927256 + 0.0160606i
\(741\) 20.2731 + 1.17154i 0.744753 + 0.0430374i
\(742\) −48.5874 28.4452i −1.78370 1.04426i
\(743\) −37.7291 10.1095i −1.38415 0.370881i −0.511520 0.859271i \(-0.670918\pi\)
−0.872625 + 0.488390i \(0.837584\pi\)
\(744\) 9.73174 0.356783
\(745\) −0.270771 −0.00992030
\(746\) −59.8335 16.0324i −2.19066 0.586986i
\(747\) 3.49274 13.0351i 0.127793 0.476929i
\(748\) 0.316725 + 1.18203i 0.0115806 + 0.0432194i
\(749\) 42.9701 + 11.7928i 1.57009 + 0.430901i
\(750\) 0.712778 1.23457i 0.0260270 0.0450800i
\(751\) 32.0282i 1.16872i 0.811493 + 0.584362i \(0.198655\pi\)
−0.811493 + 0.584362i \(0.801345\pi\)
\(752\) 0.523018 + 1.95193i 0.0190725 + 0.0711796i
\(753\) −20.6631 + 11.9299i −0.753006 + 0.434748i
\(754\) −11.0506 21.9787i −0.402440 0.800418i
\(755\) 1.49103i 0.0542643i
\(756\) −3.62380 0.994527i −0.131796 0.0361706i
\(757\) 3.10808 + 5.38335i 0.112965 + 0.195661i 0.916964 0.398969i \(-0.130632\pi\)
−0.803999 + 0.594630i \(0.797299\pi\)
\(758\) −4.37492 + 2.52586i −0.158904 + 0.0917435i
\(759\) 1.32833 4.95738i 0.0482152 0.179941i
\(760\) −0.329303 + 0.329303i −0.0119451 + 0.0119451i
\(761\) 27.0118 + 7.23779i 0.979177 + 0.262370i 0.712698 0.701471i \(-0.247473\pi\)
0.266479 + 0.963841i \(0.414140\pi\)
\(762\) −18.0546 + 18.0546i −0.654051 + 0.654051i
\(763\) −25.7574 15.0795i −0.932481 0.545915i
\(764\) −16.6631 + 9.62047i −0.602851 + 0.348056i
\(765\) 0.0674795 + 0.0674795i 0.00243973 + 0.00243973i
\(766\) 19.1870 + 33.2329i 0.693256 + 1.20075i
\(767\) 50.4156 + 2.91339i 1.82040 + 0.105197i
\(768\) −18.1570 10.4829i −0.655184 0.378270i
\(769\) −7.77893 + 29.0314i −0.280515 + 1.04690i 0.671539 + 0.740969i \(0.265634\pi\)
−0.952054 + 0.305929i \(0.901033\pi\)
\(770\) 0.132771 0.226788i 0.00478475 0.00817286i
\(771\) −5.81730 3.35862i −0.209505 0.120958i
\(772\) −5.70886 21.3058i −0.205466 0.766811i
\(773\) −9.36696 9.36696i −0.336906 0.336906i 0.518295