Properties

Label 96.2.o.a.35.5
Level 96
Weight 2
Character 96.35
Analytic conductor 0.767
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 96 = 2^{5} \cdot 3 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 96.o (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.766563859404\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{8})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 35.5
Character \(\chi\) = 96.35
Dual form 96.2.o.a.11.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.816393 + 1.15477i) q^{2} +(-0.266294 + 1.71146i) q^{3} +(-0.667005 - 1.88550i) q^{4} +(-3.14689 + 1.30348i) q^{5} +(-1.75895 - 1.70473i) q^{6} +(0.663471 + 0.663471i) q^{7} +(2.72186 + 0.769068i) q^{8} +(-2.85817 - 0.911503i) q^{9} +O(q^{10})\) \(q+(-0.816393 + 1.15477i) q^{2} +(-0.266294 + 1.71146i) q^{3} +(-0.667005 - 1.88550i) q^{4} +(-3.14689 + 1.30348i) q^{5} +(-1.75895 - 1.70473i) q^{6} +(0.663471 + 0.663471i) q^{7} +(2.72186 + 0.769068i) q^{8} +(-2.85817 - 0.911503i) q^{9} +(1.06387 - 4.69810i) q^{10} +(1.91929 - 0.794997i) q^{11} +(3.40457 - 0.639453i) q^{12} +(-2.31672 + 5.59306i) q^{13} +(-1.30781 + 0.224506i) q^{14} +(-1.39286 - 5.73287i) q^{15} +(-3.11021 + 2.51527i) q^{16} +2.24987 q^{17} +(3.38597 - 2.55640i) q^{18} +(3.08841 + 1.27926i) q^{19} +(4.55670 + 5.06402i) q^{20} +(-1.31218 + 0.958824i) q^{21} +(-0.648856 + 2.86538i) q^{22} +(4.32171 + 4.32171i) q^{23} +(-2.04104 + 4.45355i) q^{24} +(4.66830 - 4.66830i) q^{25} +(-4.56736 - 7.24142i) q^{26} +(2.32111 - 4.64892i) q^{27} +(0.808436 - 1.69351i) q^{28} +(0.546766 - 1.32001i) q^{29} +(7.75729 + 3.07184i) q^{30} -2.34273i q^{31} +(-0.365418 - 5.64504i) q^{32} +(0.849507 + 3.49649i) q^{33} +(-1.83678 + 2.59809i) q^{34} +(-2.95269 - 1.22305i) q^{35} +(0.187778 + 5.99706i) q^{36} +(-0.324682 - 0.783851i) q^{37} +(-3.99861 + 2.52203i) q^{38} +(-8.95535 - 5.45437i) q^{39} +(-9.56786 + 1.12773i) q^{40} +(-4.73908 + 4.73908i) q^{41} +(-0.0359692 - 2.29805i) q^{42} +(0.951664 + 2.29752i) q^{43} +(-2.77914 - 3.08856i) q^{44} +(10.1825 - 0.857185i) q^{45} +(-8.51882 + 1.46238i) q^{46} -3.02812i q^{47} +(-3.47655 - 5.99279i) q^{48} -6.11961i q^{49} +(1.57966 + 9.20199i) q^{50} +(-0.599128 + 3.85056i) q^{51} +(12.0910 + 0.637576i) q^{52} +(-3.49549 - 8.43885i) q^{53} +(3.47350 + 6.47571i) q^{54} +(-5.00353 + 5.00353i) q^{55} +(1.29562 + 2.31613i) q^{56} +(-3.01183 + 4.94502i) q^{57} +(1.07794 + 1.70904i) q^{58} +(3.11165 + 7.51220i) q^{59} +(-9.88028 + 6.45009i) q^{60} +(-1.01639 - 0.421005i) q^{61} +(2.70533 + 1.91259i) q^{62} +(-1.29156 - 2.50107i) q^{63} +(6.81707 + 4.18660i) q^{64} -20.6205i q^{65} +(-4.73119 - 1.87352i) q^{66} +(3.46052 - 8.35443i) q^{67} +(-1.50067 - 4.24213i) q^{68} +(-8.54728 + 6.24558i) q^{69} +(3.82290 - 2.41121i) q^{70} +(0.167408 - 0.167408i) q^{71} +(-7.07855 - 4.67912i) q^{72} +(3.86922 + 3.86922i) q^{73} +(1.17024 + 0.264997i) q^{74} +(6.74645 + 9.23273i) q^{75} +(0.352061 - 6.67646i) q^{76} +(1.80085 + 0.745938i) q^{77} +(13.6096 - 5.88850i) q^{78} +2.44740 q^{79} +(6.50886 - 11.9694i) q^{80} +(7.33832 + 5.21047i) q^{81} +(-1.60361 - 9.34152i) q^{82} +(-5.17660 + 12.4974i) q^{83} +(2.68309 + 1.83458i) q^{84} +(-7.08008 + 2.93267i) q^{85} +(-3.43005 - 0.776723i) q^{86} +(2.11354 + 1.28728i) q^{87} +(5.83546 - 0.687806i) q^{88} +(6.63254 + 6.63254i) q^{89} +(-7.32305 + 12.4583i) q^{90} +(-5.24791 + 2.17376i) q^{91} +(5.26598 - 11.0312i) q^{92} +(4.00949 + 0.623856i) q^{93} +(3.49679 + 2.47213i) q^{94} -11.3864 q^{95} +(9.75855 + 0.877844i) q^{96} +4.48787 q^{97} +(7.06677 + 4.99601i) q^{98} +(-6.21032 + 0.522799i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} + O(q^{10}) \) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} - 16q^{10} - 4q^{12} - 8q^{13} - 8q^{15} - 40q^{16} - 4q^{18} - 8q^{19} - 4q^{21} - 24q^{22} + 16q^{24} - 8q^{25} - 28q^{27} - 8q^{28} + 44q^{30} - 8q^{33} - 24q^{34} + 48q^{36} - 8q^{37} - 28q^{39} + 24q^{40} + 56q^{42} - 8q^{43} - 4q^{45} + 24q^{46} + 48q^{48} - 16q^{51} + 48q^{52} + 40q^{54} + 24q^{55} - 4q^{57} + 96q^{58} + 8q^{60} - 40q^{61} + 40q^{64} - 28q^{66} + 56q^{67} - 4q^{69} + 40q^{70} - 64q^{72} - 8q^{73} + 16q^{75} + 48q^{76} - 92q^{78} + 16q^{79} - 48q^{82} - 136q^{84} - 48q^{85} + 52q^{87} - 48q^{88} - 136q^{90} + 40q^{91} + 8q^{93} - 64q^{94} - 104q^{96} - 16q^{97} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{8}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.816393 + 1.15477i −0.577277 + 0.816548i
\(3\) −0.266294 + 1.71146i −0.153745 + 0.988111i
\(4\) −0.667005 1.88550i −0.333502 0.942749i
\(5\) −3.14689 + 1.30348i −1.40733 + 0.582935i −0.951644 0.307205i \(-0.900606\pi\)
−0.455687 + 0.890140i \(0.650606\pi\)
\(6\) −1.75895 1.70473i −0.718086 0.695954i
\(7\) 0.663471 + 0.663471i 0.250769 + 0.250769i 0.821286 0.570517i \(-0.193257\pi\)
−0.570517 + 0.821286i \(0.693257\pi\)
\(8\) 2.72186 + 0.769068i 0.962324 + 0.271907i
\(9\) −2.85817 0.911503i −0.952725 0.303834i
\(10\) 1.06387 4.69810i 0.336425 1.48567i
\(11\) 1.91929 0.794997i 0.578689 0.239701i −0.0740873 0.997252i \(-0.523604\pi\)
0.652776 + 0.757551i \(0.273604\pi\)
\(12\) 3.40457 0.639453i 0.982815 0.184594i
\(13\) −2.31672 + 5.59306i −0.642543 + 1.55123i 0.180696 + 0.983539i \(0.442165\pi\)
−0.823238 + 0.567696i \(0.807835\pi\)
\(14\) −1.30781 + 0.224506i −0.349528 + 0.0600017i
\(15\) −1.39286 5.73287i −0.359634 1.48022i
\(16\) −3.11021 + 2.51527i −0.777552 + 0.628818i
\(17\) 2.24987 0.545673 0.272837 0.962060i \(-0.412038\pi\)
0.272837 + 0.962060i \(0.412038\pi\)
\(18\) 3.38597 2.55640i 0.798082 0.602549i
\(19\) 3.08841 + 1.27926i 0.708530 + 0.293483i 0.707696 0.706517i \(-0.249735\pi\)
0.000833646 1.00000i \(0.499735\pi\)
\(20\) 4.55670 + 5.06402i 1.01891 + 1.13235i
\(21\) −1.31218 + 0.958824i −0.286342 + 0.209233i
\(22\) −0.648856 + 2.86538i −0.138336 + 0.610901i
\(23\) 4.32171 + 4.32171i 0.901140 + 0.901140i 0.995535 0.0943951i \(-0.0300917\pi\)
−0.0943951 + 0.995535i \(0.530092\pi\)
\(24\) −2.04104 + 4.45355i −0.416626 + 0.909078i
\(25\) 4.66830 4.66830i 0.933659 0.933659i
\(26\) −4.56736 7.24142i −0.895733 1.42016i
\(27\) 2.32111 4.64892i 0.446699 0.894684i
\(28\) 0.808436 1.69351i 0.152780 0.320044i
\(29\) 0.546766 1.32001i 0.101532 0.245120i −0.864948 0.501861i \(-0.832649\pi\)
0.966480 + 0.256741i \(0.0826489\pi\)
\(30\) 7.75729 + 3.07184i 1.41628 + 0.560839i
\(31\) 2.34273i 0.420767i −0.977619 0.210384i \(-0.932529\pi\)
0.977619 0.210384i \(-0.0674713\pi\)
\(32\) −0.365418 5.64504i −0.0645974 0.997911i
\(33\) 0.849507 + 3.49649i 0.147880 + 0.608661i
\(34\) −1.83678 + 2.59809i −0.315005 + 0.445569i
\(35\) −2.95269 1.22305i −0.499096 0.206732i
\(36\) 0.187778 + 5.99706i 0.0312964 + 0.999510i
\(37\) −0.324682 0.783851i −0.0533774 0.128864i 0.894941 0.446184i \(-0.147217\pi\)
−0.948319 + 0.317319i \(0.897217\pi\)
\(38\) −3.99861 + 2.52203i −0.648661 + 0.409128i
\(39\) −8.95535 5.45437i −1.43400 0.873398i
\(40\) −9.56786 + 1.12773i −1.51281 + 0.178310i
\(41\) −4.73908 + 4.73908i −0.740120 + 0.740120i −0.972601 0.232481i \(-0.925316\pi\)
0.232481 + 0.972601i \(0.425316\pi\)
\(42\) −0.0359692 2.29805i −0.00555016 0.354597i
\(43\) 0.951664 + 2.29752i 0.145127 + 0.350369i 0.979682 0.200556i \(-0.0642750\pi\)
−0.834555 + 0.550925i \(0.814275\pi\)
\(44\) −2.77914 3.08856i −0.418972 0.465617i
\(45\) 10.1825 0.857185i 1.51791 0.127782i
\(46\) −8.51882 + 1.46238i −1.25603 + 0.215617i
\(47\) 3.02812i 0.441696i −0.975308 0.220848i \(-0.929117\pi\)
0.975308 0.220848i \(-0.0708825\pi\)
\(48\) −3.47655 5.99279i −0.501797 0.864985i
\(49\) 6.11961i 0.874230i
\(50\) 1.57966 + 9.20199i 0.223398 + 1.30136i
\(51\) −0.599128 + 3.85056i −0.0838946 + 0.539186i
\(52\) 12.0910 + 0.637576i 1.67671 + 0.0884159i
\(53\) −3.49549 8.43885i −0.480142 1.15916i −0.959541 0.281568i \(-0.909145\pi\)
0.479399 0.877597i \(1.65915\pi\)
\(54\) 3.47350 + 6.47571i 0.472684 + 0.881232i
\(55\) −5.00353 + 5.00353i −0.674676 + 0.674676i
\(56\) 1.29562 + 2.31613i 0.173135 + 0.309506i
\(57\) −3.01183 + 4.94502i −0.398926 + 0.654984i
\(58\) 1.07794 + 1.70904i 0.141540 + 0.224408i
\(59\) 3.11165 + 7.51220i 0.405103 + 0.978005i 0.986407 + 0.164318i \(0.0525425\pi\)
−0.581305 + 0.813686i \(0.697458\pi\)
\(60\) −9.88028 + 6.45009i −1.27554 + 0.832703i
\(61\) −1.01639 0.421005i −0.130136 0.0539041i 0.316665 0.948537i \(-0.397437\pi\)
−0.446801 + 0.894633i \(0.647437\pi\)
\(62\) 2.70533 + 1.91259i 0.343577 + 0.242899i
\(63\) −1.29156 2.50107i −0.162721 0.315106i
\(64\) 6.81707 + 4.18660i 0.852134 + 0.523324i
\(65\) 20.6205i 2.55766i
\(66\) −4.73119 1.87352i −0.582369 0.230615i
\(67\) 3.46052 8.35443i 0.422770 1.02066i −0.558757 0.829331i \(-0.688722\pi\)
0.981527 0.191325i \(-0.0612784\pi\)
\(68\) −1.50067 4.24213i −0.181983 0.514433i
\(69\) −8.54728 + 6.24558i −1.02897 + 0.751880i
\(70\) 3.82290 2.41121i 0.456924 0.288194i
\(71\) 0.167408 0.167408i 0.0198677 0.0198677i −0.697103 0.716971i \(-0.745528\pi\)
0.716971 + 0.697103i \(0.245528\pi\)
\(72\) −7.07855 4.67912i −0.834215 0.551439i
\(73\) 3.86922 + 3.86922i 0.452858 + 0.452858i 0.896302 0.443444i \(-0.146244\pi\)
−0.443444 + 0.896302i \(0.646244\pi\)
\(74\) 1.17024 + 0.264997i 0.136037 + 0.0308052i
\(75\) 6.74645 + 9.23273i 0.779013 + 1.06610i
\(76\) 0.352061 6.67646i 0.0403841 0.765843i
\(77\) 1.80085 + 0.745938i 0.205226 + 0.0850075i
\(78\) 13.6096 5.88850i 1.54099 0.666741i
\(79\) 2.44740 0.275354 0.137677 0.990477i \(-0.456036\pi\)
0.137677 + 0.990477i \(0.456036\pi\)
\(80\) 6.50886 11.9694i 0.727713 1.33822i
\(81\) 7.33832 + 5.21047i 0.815369 + 0.578941i
\(82\) −1.60361 9.34152i −0.177090 1.03160i
\(83\) −5.17660 + 12.4974i −0.568206 + 1.37177i 0.334860 + 0.942268i \(0.391311\pi\)
−0.903066 + 0.429502i \(0.858689\pi\)
\(84\) 2.68309 + 1.83458i 0.292749 + 0.200169i
\(85\) −7.08008 + 2.93267i −0.767943 + 0.318092i
\(86\) −3.43005 0.776723i −0.369872 0.0837562i
\(87\) 2.11354 + 1.28728i 0.226595 + 0.138011i
\(88\) 5.83546 0.687806i 0.622062 0.0733203i
\(89\) 6.63254 + 6.63254i 0.703048 + 0.703048i 0.965064 0.262016i \(-0.0843872\pi\)
−0.262016 + 0.965064i \(0.584387\pi\)
\(90\) −7.32305 + 12.4583i −0.771917 + 1.31322i
\(91\) −5.24791 + 2.17376i −0.550130 + 0.227871i
\(92\) 5.26598 11.0312i 0.549017 1.15008i
\(93\) 4.00949 + 0.623856i 0.415764 + 0.0646909i
\(94\) 3.49679 + 2.47213i 0.360666 + 0.254981i
\(95\) −11.3864 −1.16822
\(96\) 9.75855 + 0.877844i 0.995978 + 0.0895946i
\(97\) 4.48787 0.455674 0.227837 0.973699i \(-0.426835\pi\)
0.227837 + 0.973699i \(0.426835\pi\)
\(98\) 7.06677 + 4.99601i 0.713851 + 0.504673i
\(99\) −6.21032 + 0.522799i −0.624160 + 0.0525433i
\(100\) −11.9158 5.68829i −1.19158 0.568829i
\(101\) 12.6091 5.22285i 1.25465 0.519693i 0.346386 0.938092i \(-0.387409\pi\)
0.908263 + 0.418399i \(0.137409\pi\)
\(102\) −3.95740 3.83542i −0.391841 0.379764i
\(103\) 5.37192 + 5.37192i 0.529311 + 0.529311i 0.920367 0.391056i \(-0.127890\pi\)
−0.391056 + 0.920367i \(0.627890\pi\)
\(104\) −10.6072 + 13.4418i −1.04012 + 1.31808i
\(105\) 2.87948 4.72772i 0.281008 0.461378i
\(106\) 12.5986 + 2.85292i 1.22369 + 0.277100i
\(107\) 13.4838 5.58517i 1.30353 0.539939i 0.380538 0.924765i \(-0.375739\pi\)
0.922989 + 0.384826i \(0.125739\pi\)
\(108\) −10.3137 1.27561i −0.992438 0.122746i
\(109\) −1.82205 + 4.39883i −0.174521 + 0.421331i −0.986801 0.161936i \(-0.948226\pi\)
0.812280 + 0.583268i \(0.198226\pi\)
\(110\) −1.69310 9.86280i −0.161431 0.940381i
\(111\) 1.42799 0.346944i 0.135539 0.0329305i
\(112\) −3.73235 0.394723i −0.352674 0.0372978i
\(113\) −5.85162 −0.550475 −0.275237 0.961376i \(-0.588756\pi\)
−0.275237 + 0.961376i \(0.588756\pi\)
\(114\) −3.25155 7.51506i −0.304535 0.703850i
\(115\) −19.2332 7.96666i −1.79351 0.742895i
\(116\) −2.85357 0.150473i −0.264947 0.0139711i
\(117\) 11.7197 13.8742i 1.08348 1.28267i
\(118\) −11.2152 2.53965i −1.03244 0.233794i
\(119\) 1.49272 + 1.49272i 0.136838 + 0.136838i
\(120\) 0.617803 16.6753i 0.0563975 1.52224i
\(121\) −4.72651 + 4.72651i −0.429683 + 0.429683i
\(122\) 1.31594 0.830001i 0.119140 0.0751448i
\(123\) −6.84875 9.37273i −0.617531 0.845110i
\(124\) −4.41722 + 1.56261i −0.396678 + 0.140327i
\(125\) −2.08814 + 5.04121i −0.186769 + 0.450899i
\(126\) 3.94259 + 0.550398i 0.351234 + 0.0490334i
\(127\) 10.2914i 0.913216i 0.889668 + 0.456608i \(0.150936\pi\)
−0.889668 + 0.456608i \(0.849064\pi\)
\(128\) −10.4000 + 4.45426i −0.919237 + 0.393705i
\(129\) −4.18553 + 1.01692i −0.368516 + 0.0895345i
\(130\) 23.8120 + 16.8345i 2.08845 + 1.47648i
\(131\) −16.3968 6.79177i −1.43259 0.593400i −0.474603 0.880200i \(-0.657408\pi\)
−0.957990 + 0.286800i \(0.907408\pi\)
\(132\) 6.02600 3.93392i 0.524496 0.342404i
\(133\) 1.20032 + 2.89782i 0.104081 + 0.251273i
\(134\) 6.82233 + 10.8166i 0.589360 + 0.934413i
\(135\) −1.24450 + 17.6551i −0.107110 + 1.51951i
\(136\) 6.12383 + 1.73030i 0.525114 + 0.148372i
\(137\) −8.43673 + 8.43673i −0.720799 + 0.720799i −0.968768 0.247969i \(-0.920237\pi\)
0.247969 + 0.968768i \(0.420237\pi\)
\(138\) −0.234296 14.9690i −0.0199446 1.27425i
\(139\) −7.74040 18.6870i −0.656532 1.58501i −0.803124 0.595812i \(-0.796831\pi\)
0.146592 0.989197i \(-0.453169\pi\)
\(140\) −0.336590 + 6.38308i −0.0284470 + 0.539468i
\(141\) 5.18249 + 0.806371i 0.436445 + 0.0679086i
\(142\) 0.0566477 + 0.329990i 0.00475377 + 0.0276921i
\(143\) 12.5765i 1.05170i
\(144\) 11.1822 4.35412i 0.931850 0.362844i
\(145\) 4.86662i 0.404151i
\(146\) −7.62688 + 1.30927i −0.631205 + 0.108356i
\(147\) 10.4735 + 1.62962i 0.863836 + 0.134409i
\(148\) −1.26139 + 1.13502i −0.103685 + 0.0932980i
\(149\) 4.26837 + 10.3048i 0.349678 + 0.844198i 0.996658 + 0.0816908i \(0.0260320\pi\)
−0.646979 + 0.762508i \(0.723968\pi\)
\(150\) −16.1695 + 0.253085i −1.32023 + 0.0206643i
\(151\) 12.1716 12.1716i 0.990514 0.990514i −0.00944142 0.999955i \(-0.503005\pi\)
0.999955 + 0.00944142i \(0.00300534\pi\)
\(152\) 7.42239 + 5.85717i 0.602035 + 0.475079i
\(153\) −6.43052 2.05076i −0.519877 0.165794i
\(154\) −2.33159 + 1.47060i −0.187885 + 0.118504i
\(155\) 3.05371 + 7.37231i 0.245280 + 0.592159i
\(156\) −4.31094 + 20.5234i −0.345151 + 1.64319i
\(157\) −10.1467 4.20290i −0.809795 0.335428i −0.0609231 0.998142i \(-0.519404\pi\)
−0.748872 + 0.662714i \(0.769404\pi\)
\(158\) −1.99804 + 2.82620i −0.158956 + 0.224840i
\(159\) 15.3736 3.73516i 1.21920 0.296217i
\(160\) 8.50814 + 17.2880i 0.672628 + 1.36674i
\(161\) 5.73467i 0.451955i
\(162\) −12.0079 + 4.22031i −0.943427 + 0.331579i
\(163\) −4.03936 + 9.75187i −0.316387 + 0.763826i 0.683053 + 0.730369i \(0.260652\pi\)
−0.999440 + 0.0334571i \(0.989348\pi\)
\(164\) 12.0965 + 5.77454i 0.944580 + 0.450916i
\(165\) −7.23092 9.89575i −0.562926 0.770383i
\(166\) −10.2055 16.1806i −0.792104 1.25586i
\(167\) 12.8761 12.8761i 0.996385 0.996385i −0.00360853 0.999993i \(-0.501149\pi\)
0.999993 + 0.00360853i \(0.00114863\pi\)
\(168\) −4.30898 + 1.60063i −0.332445 + 0.123491i
\(169\) −16.7227 16.7227i −1.28636 1.28636i
\(170\) 2.39356 10.5701i 0.183578 0.810690i
\(171\) −7.66116 6.47145i −0.585864 0.494884i
\(172\) 3.69721 3.32682i 0.281909 0.253668i
\(173\) −9.91155 4.10550i −0.753561 0.312135i −0.0273673 0.999625i \(-0.508712\pi\)
−0.726194 + 0.687490i \(0.758712\pi\)
\(174\) −3.21199 + 1.38974i −0.243501 + 0.105356i
\(175\) 6.19456 0.468265
\(176\) −3.96977 + 7.30015i −0.299232 + 0.550270i
\(177\) −13.6854 + 3.32501i −1.02866 + 0.249923i
\(178\) −13.0738 + 2.24432i −0.979926 + 0.168219i
\(179\) 9.52280 22.9901i 0.711768 1.71836i 0.0162316 0.999868i \(-0.494833\pi\)
0.695536 0.718491i \(-0.255167\pi\)
\(180\) −8.40799 18.6273i −0.626694 1.38840i
\(181\) 11.0607 4.58151i 0.822139 0.340541i 0.0683528 0.997661i \(-0.478226\pi\)
0.753786 + 0.657120i \(0.228226\pi\)
\(182\) 1.77416 7.83479i 0.131510 0.580753i
\(183\) 0.991192 1.62741i 0.0732710 0.120301i
\(184\) 8.43942 + 15.0868i 0.622162 + 1.11221i
\(185\) 2.04347 + 2.04347i 0.150239 + 0.150239i
\(186\) −3.99373 + 4.12074i −0.292835 + 0.302147i
\(187\) 4.31816 1.78864i 0.315775 0.130798i
\(188\) −5.70951 + 2.01977i −0.416409 + 0.147307i
\(189\) 4.62442 1.54443i 0.336377 0.112341i
\(190\) 9.29575 13.1487i 0.674385 0.953906i
\(191\) 0.133706 0.00967461 0.00483731 0.999988i \(-0.498460\pi\)
0.00483731 + 0.999988i \(0.498460\pi\)
\(192\) −8.98053 + 10.5523i −0.648114 + 0.761544i
\(193\) 7.48776 0.538981 0.269490 0.963003i \(-0.413145\pi\)
0.269490 + 0.963003i \(0.413145\pi\)
\(194\) −3.66387 + 5.18248i −0.263050 + 0.372080i
\(195\) 35.2912 + 5.49113i 2.52725 + 0.393228i
\(196\) −11.5385 + 4.08181i −0.824180 + 0.291558i
\(197\) −4.23540 + 1.75436i −0.301759 + 0.124993i −0.528425 0.848980i \(-0.677217\pi\)
0.226666 + 0.973973i \(0.427217\pi\)
\(198\) 4.46634 7.59832i 0.317409 0.539989i
\(199\) 3.74082 + 3.74082i 0.265179 + 0.265179i 0.827154 0.561975i \(-0.189958\pi\)
−0.561975 + 0.827154i \(0.689958\pi\)
\(200\) 16.2967 9.11622i 1.15235 0.644614i
\(201\) 13.3767 + 8.14727i 0.943522 + 0.574664i
\(202\) −4.26275 + 18.8245i −0.299926 + 1.32449i
\(203\) 1.23855 0.513025i 0.0869293 0.0360073i
\(204\) 7.65984 1.43869i 0.536296 0.100728i
\(205\) 8.73604 21.0907i 0.610152 1.47304i
\(206\) −10.5889 + 1.81775i −0.737767 + 0.126649i
\(207\) −8.41296 16.2915i −0.584741 1.13234i
\(208\) −6.86258 23.2228i −0.475834 1.61021i
\(209\) 6.94457 0.480366
\(210\) 3.10866 + 7.18482i 0.214518 + 0.495800i
\(211\) 0.564367 + 0.233768i 0.0388526 + 0.0160933i 0.402025 0.915629i \(-0.368306\pi\)
−0.363173 + 0.931722i \(0.618306\pi\)
\(212\) −13.5799 + 12.2195i −0.932673 + 0.839238i
\(213\) 0.241932 + 0.331092i 0.0165769 + 0.0226861i
\(214\) −4.55847 + 20.1304i −0.311610 + 1.37609i
\(215\) −5.98956 5.98956i −0.408485 0.408485i
\(216\) 9.89309 10.8686i 0.673139 0.739516i
\(217\) 1.55434 1.55434i 0.105515 0.105515i
\(218\) −3.59214 5.69523i −0.243290 0.385730i
\(219\) −7.65236 + 5.59165i −0.517098 + 0.377849i
\(220\) 12.7715 + 6.09677i 0.861057 + 0.411044i
\(221\) −5.21232 + 12.5836i −0.350618 + 0.846468i
\(222\) −0.765158 + 1.93225i −0.0513541 + 0.129684i
\(223\) 10.6887i 0.715768i 0.933766 + 0.357884i \(0.116502\pi\)
−0.933766 + 0.357884i \(0.883498\pi\)
\(224\) 3.50288 3.98777i 0.234046 0.266444i
\(225\) −17.5980 + 9.08764i −1.17320 + 0.605842i
\(226\) 4.77723 6.75730i 0.317776 0.449489i
\(227\) 1.76729 + 0.732035i 0.117299 + 0.0485869i 0.440561 0.897723i \(-0.354780\pi\)
−0.323262 + 0.946309i \(0.604780\pi\)
\(228\) 11.3327 + 2.38044i 0.750529 + 0.157649i
\(229\) −4.83167 11.6647i −0.319286 0.770824i −0.999292 0.0376176i \(-0.988023\pi\)
0.680007 0.733206i \(-0.261977\pi\)
\(230\) 24.9016 15.7061i 1.64196 1.03563i
\(231\) −1.75620 + 2.88345i −0.115549 + 0.189717i
\(232\) 2.50340 3.17238i 0.164356 0.208277i
\(233\) 6.98725 6.98725i 0.457750 0.457750i −0.440166 0.897916i \(-0.645080\pi\)
0.897916 + 0.440166i \(0.145080\pi\)
\(234\) 6.45374 + 24.8604i 0.421894 + 1.62518i
\(235\) 3.94710 + 9.52914i 0.257480 + 0.621613i
\(236\) 12.0887 10.8777i 0.786910 0.708077i
\(237\) −0.651729 + 4.18862i −0.0423344 + 0.272080i
\(238\) −2.94241 + 0.505109i −0.190728 + 0.0327413i
\(239\) 6.60970i 0.427546i −0.976883 0.213773i \(-0.931425\pi\)
0.976883 0.213773i \(-0.0685752\pi\)
\(240\) 18.7518 + 14.3270i 1.21043 + 0.924805i
\(241\) 13.3092i 0.857322i 0.903466 + 0.428661i \(0.141014\pi\)
−0.903466 + 0.428661i \(0.858986\pi\)
\(242\) −1.59936 9.31674i −0.102811 0.598903i
\(243\) −10.8717 + 11.1717i −0.697417 + 0.716666i
\(244\) −0.115863 + 2.19722i −0.00741738 + 0.140663i
\(245\) 7.97681 + 19.2577i 0.509620 + 1.23033i
\(246\) 16.4146 0.256923i 1.04656 0.0163808i
\(247\) −14.3100 + 14.3100i −0.910521 + 0.910521i
\(248\) 1.80172 6.37659i 0.114409 0.404914i
\(249\) −20.0103 12.1875i −1.26810 0.772353i
\(250\) −4.11671 6.52693i −0.260364 0.412800i
\(251\) −5.55430 13.4093i −0.350584 0.846385i −0.996548 0.0830174i \(-0.973544\pi\)
0.645964 0.763368i \(1.72354\pi\)
\(252\) −3.85429 + 4.10346i −0.242798 + 0.258494i
\(253\) 11.7304 + 4.85889i 0.737483 + 0.305476i
\(254\) −11.8843 8.40185i −0.745685 0.527179i
\(255\) −3.13375 12.8982i −0.196243 0.807718i
\(256\) 3.34680 15.6461i 0.209175 0.977878i
\(257\) 12.0491i 0.751605i 0.926700 + 0.375803i \(0.122633\pi\)
−0.926700 + 0.375803i \(0.877367\pi\)
\(258\) 2.24273 5.66355i 0.139626 0.352597i
\(259\) 0.304646 0.735480i 0.0189298 0.0457005i
\(260\) −38.8800 + 13.7540i −2.41123 + 0.852986i
\(261\) −2.76595 + 3.27444i −0.171208 + 0.202683i
\(262\) 21.2292 13.3898i 1.31154 0.827226i
\(263\) 2.42769 2.42769i 0.149698 0.149698i −0.628285 0.777983i \(-0.716243\pi\)
0.777983 + 0.628285i \(0.216243\pi\)
\(264\) −0.376800 + 10.1703i −0.0231904 + 0.625939i
\(265\) 21.9998 + 21.9998i 1.35144 + 1.35144i
\(266\) −4.32626 0.979668i −0.265260 0.0600673i
\(267\) −13.1175 + 9.58511i −0.802780 + 0.586599i
\(268\) −18.0604 0.952357i −1.10322 0.0581745i
\(269\) −11.0872 4.59246i −0.675997 0.280007i 0.0181552 0.999835i \(-0.494221\pi\)
−0.694153 + 0.719828i \(0.744221\pi\)
\(270\) −19.3717 15.8507i −1.17892 0.964640i
\(271\) 16.6609 1.01208 0.506038 0.862511i \(-0.331109\pi\)
0.506038 + 0.862511i \(0.331109\pi\)
\(272\) −6.99756 + 5.65904i −0.424290 + 0.343129i
\(273\) −2.32280 9.56043i −0.140582 0.578624i
\(274\) −2.85483 16.6302i −0.172466 1.00467i
\(275\) 5.24854 12.6711i 0.316499 0.764097i
\(276\) 17.4771 + 11.9500i 1.05200 + 0.719308i
\(277\) −26.2888 + 10.8892i −1.57954 + 0.654267i −0.988341 0.152259i \(-0.951345\pi\)
−0.591199 + 0.806526i \(0.701345\pi\)
\(278\) 27.8984 + 6.31751i 1.67324 + 0.378899i
\(279\) −2.13541 + 6.69594i −0.127844 + 0.400875i
\(280\) −7.09622 5.59978i −0.424080 0.334651i
\(281\) −0.109141 0.109141i −0.00651081 0.00651081i 0.703844 0.710355i \(-0.251465\pi\)
−0.710355 + 0.703844i \(0.751465\pi\)
\(282\) −5.16213 + 5.32629i −0.307400 + 0.317176i
\(283\) 11.5159 4.77003i 0.684547 0.283549i −0.0131791 0.999913i \(-0.504195\pi\)
0.697726 + 0.716364i \(0.254195\pi\)
\(284\) −0.427310 0.203986i −0.0253562 0.0121043i
\(285\) 3.03213 19.4873i 0.179608 1.15433i
\(286\) −14.5230 10.2674i −0.858764 0.607122i
\(287\) −6.28849 −0.371198
\(288\) −4.10104 + 16.4676i −0.241656 + 0.970362i
\(289\) −11.9381 −0.702240
\(290\) −5.61985 3.97308i −0.330009 0.233307i
\(291\) −1.19510 + 7.68080i −0.0700577 + 0.450257i
\(292\) 4.71462 9.87620i 0.275902 0.577961i
\(293\) 14.6551 6.07035i 0.856161 0.354634i 0.0889561 0.996036i \(-0.471647\pi\)
0.767205 + 0.641402i \(0.221647\pi\)
\(294\) −10.4323 + 10.7641i −0.608424 + 0.627773i
\(295\) −19.5840 19.5840i −1.14023 1.14023i
\(296\) −0.280904 2.38324i −0.0163272 0.138523i
\(297\) 0.759024 10.7679i 0.0440430 0.624818i
\(298\) −15.3843 3.48373i −0.891190 0.201807i
\(299\) −34.1838 + 14.1594i −1.97690 + 0.818859i
\(300\) 12.9084 18.8787i 0.745266 1.08996i
\(301\) −0.892937 + 2.15574i −0.0514680 + 0.124255i
\(302\) 4.11865 + 23.9923i 0.237002 + 1.38060i
\(303\) 5.58096 + 22.9707i 0.320618 + 1.31963i
\(304\) −12.8233 + 3.78942i −0.735466 + 0.217338i
\(305\) 3.74725 0.214567
\(306\) 7.61800 5.75157i 0.435492 0.328795i
\(307\) 17.9759 + 7.44586i 1.02594 + 0.424958i 0.831245 0.555906i \(-0.187629\pi\)
0.194694 + 0.980864i \(0.437629\pi\)
\(308\) 0.205287 3.89305i 0.0116973 0.221827i
\(309\) −10.6243 + 7.76330i −0.604397 + 0.441639i
\(310\) −11.0064 2.49236i −0.625121 0.141556i
\(311\) −14.7567 14.7567i −0.836776 0.836776i 0.151657 0.988433i \(-0.451539\pi\)
−0.988433 + 0.151657i \(0.951539\pi\)
\(312\) −20.1804 21.7333i −1.14249 1.23041i
\(313\) −3.76309 + 3.76309i −0.212703 + 0.212703i −0.805415 0.592712i \(-0.798057\pi\)
0.592712 + 0.805415i \(0.298057\pi\)
\(314\) 13.1371 8.28593i 0.741370 0.467602i
\(315\) 7.32450 + 6.18707i 0.412689 + 0.348602i
\(316\) −1.63243 4.61457i −0.0918313 0.259590i
\(317\) 5.65481 13.6519i 0.317606 0.766768i −0.681774 0.731562i \(-0.738791\pi\)
0.999380 0.0352055i \(-0.0112086\pi\)
\(318\) −8.23761 + 20.8023i −0.461942 + 1.16654i
\(319\) 2.96816i 0.166185i
\(320\) −26.9097 4.28881i −1.50430 0.239752i
\(321\) 5.96812 + 24.5642i 0.333108 + 1.37104i
\(322\) −6.62224 4.68174i −0.369043 0.260903i
\(323\) 6.94852 + 2.87817i 0.386626 + 0.160146i
\(324\) 4.92964 17.3118i 0.273869 0.961767i
\(325\) 15.2949 + 36.9252i 0.848409 + 2.04824i
\(326\) −7.96350 12.6259i −0.441058 0.699284i
\(327\) −7.04321 4.28975i −0.389490 0.237224i
\(328\) −16.5438 + 9.25445i −0.913479 + 0.510992i
\(329\) 2.00907 2.00907i 0.110764 0.110764i
\(330\) 17.3306 0.271259i 0.954019 0.0149323i
\(331\) 3.87845 + 9.36340i 0.213179 + 0.514659i 0.993908 0.110210i \(-0.0351523\pi\)
−0.780730 + 0.624869i \(0.785152\pi\)
\(332\) 27.0167 + 1.42463i 1.48273 + 0.0781869i
\(333\) 0.213514 + 2.53633i 0.0117005 + 0.138990i
\(334\) 4.35703 + 25.3810i 0.238406 + 1.38879i
\(335\) 30.8012i 1.68285i
\(336\) 1.66945 6.28264i 0.0910762 0.342746i
\(337\) 18.4557i 1.00535i −0.864476 0.502674i \(-0.832350\pi\)
0.864476 0.502674i \(-0.167650\pi\)
\(338\) 32.9632 5.65864i 1.79296 0.307789i
\(339\) 1.55825 10.0148i 0.0846328 0.543930i
\(340\) 10.2520 + 11.3934i 0.555992 + 0.617893i
\(341\) −1.86247 4.49639i −0.100858 0.243493i
\(342\) 13.7276 3.56367i 0.742302 0.192701i
\(343\) 8.70449 8.70449i 0.469998 0.469998i
\(344\) 0.823349 + 6.98543i 0.0443920 + 0.376629i
\(345\) 18.7563 30.7954i 1.00981 1.65797i
\(346\) 12.8326 8.09389i 0.689887 0.435130i
\(347\) 2.01715 + 4.86983i 0.108286 + 0.261426i 0.968729 0.248121i \(-0.0798130\pi\)
−0.860443 + 0.509547i \(0.829813\pi\)
\(348\) 1.01742 4.84370i 0.0545394 0.259649i
\(349\) 19.0402 + 7.88672i 1.01920 + 0.422166i 0.828803 0.559541i \(-0.189023\pi\)
0.190397 + 0.981707i \(0.439023\pi\)
\(350\) −5.05720 + 7.15332i −0.270318 + 0.382361i
\(351\) 20.6243 + 23.7524i 1.10084 + 1.26781i
\(352\) −5.18914 10.5440i −0.276582 0.561996i
\(353\) 13.3595i 0.711053i −0.934666 0.355527i \(-0.884301\pi\)
0.934666 0.355527i \(-0.115699\pi\)
\(354\) 7.33305 18.5181i 0.389747 0.984225i
\(355\) −0.308601 + 0.745029i −0.0163788 + 0.0395420i
\(356\) 8.08171 16.9296i 0.428330 0.897266i
\(357\) −2.95224 + 2.15723i −0.156249 + 0.114173i
\(358\) 18.7740 + 29.7656i 0.992236 + 1.57316i
\(359\) −0.514805 + 0.514805i −0.0271704 + 0.0271704i −0.720561 0.693391i \(-0.756116\pi\)
0.693391 + 0.720561i \(0.256116\pi\)
\(360\) 28.3745 + 5.49788i 1.49547 + 0.289764i
\(361\) −5.53327 5.53327i −0.291225 0.291225i
\(362\) −3.73931 + 16.5130i −0.196534 + 0.867902i
\(363\) −6.83058 9.34786i −0.358512 0.490636i
\(364\) 7.59899 + 8.44502i 0.398296 + 0.442639i
\(365\) −17.2195 7.13254i −0.901308 0.373334i
\(366\) 1.07008 + 2.47320i 0.0559341 + 0.129276i
\(367\) −37.5921 −1.96229 −0.981145 0.193271i \(-0.938090\pi\)
−0.981145 + 0.193271i \(0.938090\pi\)
\(368\) −24.3117 2.57114i −1.26734 0.134030i
\(369\) 17.8648 9.22543i 0.930005 0.480257i
\(370\) −4.02803 + 0.691472i −0.209407 + 0.0359479i
\(371\) 3.27978 7.91809i 0.170278 0.411087i
\(372\) −1.49807 7.97600i −0.0776711 0.413536i
\(373\) 22.6229 9.37070i 1.17137 0.485196i 0.289723 0.957111i \(-0.406437\pi\)
0.881644 + 0.471914i \(0.156437\pi\)
\(374\) −1.45984 + 6.44673i −0.0754865 + 0.333352i
\(375\) −8.07176 4.91620i −0.416824 0.253872i
\(376\) 2.32883 8.24212i 0.120100 0.425055i
\(377\) 6.11619 + 6.11619i 0.315000 + 0.315000i
\(378\) −1.99187 + 6.60102i −0.102451 + 0.339520i
\(379\) −14.1576 + 5.86429i −0.727229 + 0.301228i −0.715413 0.698702i \(-0.753761\pi\)
−0.0118165 + 0.999930i \(0.503761\pi\)
\(380\) 7.59476 + 21.4690i 0.389603 + 1.10134i
\(381\) −17.6133 2.74055i −0.902359 0.140403i
\(382\) −0.109157 + 0.154400i −0.00558493 + 0.00789979i
\(383\) 16.0682 0.821048 0.410524 0.911850i \(-0.365346\pi\)
0.410524 + 0.911850i \(0.365346\pi\)
\(384\) −4.85383 18.9853i −0.247696 0.968838i
\(385\) −6.63940 −0.338375
\(386\) −6.11296 + 8.64667i −0.311141 + 0.440104i
\(387\) −0.625825 7.43416i −0.0318125 0.377900i
\(388\) −2.99343 8.46188i −0.151968 0.429587i
\(389\) 31.0923 12.8788i 1.57644 0.652983i 0.588596 0.808427i \(-0.299681\pi\)
0.987845 + 0.155444i \(0.0496807\pi\)
\(390\) −35.1525 + 36.2704i −1.78001 + 1.83662i
\(391\) 9.72329 + 9.72329i 0.491728 + 0.491728i
\(392\) 4.70640 16.6567i 0.237709 0.841292i
\(393\) 15.9902 26.2538i 0.806599 1.32433i
\(394\) 1.43186 6.32317i 0.0721361 0.318557i
\(395\) −7.70170 + 3.19015i −0.387514 + 0.160514i
\(396\) 5.12805 + 11.3608i 0.257694 + 0.570903i
\(397\) −8.21223 + 19.8261i −0.412160 + 0.995042i 0.572397 + 0.819977i \(0.306014\pi\)
−0.984557 + 0.175065i \(0.943986\pi\)
\(398\) −7.37377 + 1.26582i −0.369614 + 0.0634498i
\(399\) −5.27914 + 1.28262i −0.264288 + 0.0642113i
\(400\) −2.77734 + 26.2614i −0.138867 + 1.31307i
\(401\) −15.2053 −0.759315 −0.379657 0.925127i \(-0.623958\pi\)
−0.379657 + 0.925127i \(0.623958\pi\)
\(402\) −20.3289 + 8.79573i −1.01391 + 0.438691i
\(403\) 13.1030 + 5.42745i 0.652709 + 0.270361i
\(404\) −18.2580 20.2907i −0.908369 1.00950i
\(405\) −29.8846 6.83138i −1.48498 0.339454i
\(406\) −0.418717 + 1.84908i −0.0207806 + 0.0917682i
\(407\) −1.24632 1.24632i −0.0617777 0.0617777i
\(408\) −4.59208 + 10.0199i −0.227342 + 0.496060i
\(409\) 23.0147 23.0147i 1.13800 1.13800i 0.149193 0.988808i \(-0.452332\pi\)
0.988808 0.149193i \(-0.0476677\pi\)
\(410\) 17.2229 + 27.3064i 0.850579 + 1.34857i
\(411\) −12.1925 16.6858i −0.601410 0.823048i
\(412\) 6.54565 13.7118i 0.322481 0.675534i
\(413\) −2.91963 + 7.04862i −0.143666 + 0.346840i
\(414\) 25.6812 + 3.58518i 1.26216 + 0.176202i
\(415\) 46.0756i 2.26176i
\(416\) 32.4196 + 11.0342i 1.58950 + 0.540995i
\(417\) 34.0432 8.27113i 1.66710 0.405039i
\(418\) −5.66950 + 8.01941i −0.277304 + 0.392242i
\(419\) 10.8187 + 4.48124i 0.528527 + 0.218923i 0.630958 0.775817i \(-0.282662\pi\)
−0.102431 + 0.994740i \(0.532662\pi\)
\(420\) −10.8347 2.27584i −0.528681 0.111049i
\(421\) −11.0208 26.6066i −0.537121 1.29673i −0.926724 0.375742i \(-0.877388\pi\)
0.389603 0.920983i \(-0.372612\pi\)
\(422\) −0.730695 + 0.460869i −0.0355697 + 0.0224348i
\(423\) −2.76014 + 8.65489i −0.134203 + 0.420815i
\(424\) −3.02418 25.6576i −0.146867 1.24605i
\(425\) 10.5031 10.5031i 0.509473 0.509473i
\(426\) −0.579848 + 0.00907580i −0.0280937 + 0.000439724i
\(427\) −0.395024 0.953673i −0.0191166 0.0461515i
\(428\) −19.5246 21.6983i −0.943756 1.04883i
\(429\) −21.5241 3.34905i −1.03920 0.161694i
\(430\) 11.8064 2.02675i 0.569356 0.0977386i
\(431\) 0.278342i 0.0134073i 0.999978 + 0.00670363i \(0.00213385\pi\)
−0.999978 + 0.00670363i \(0.997866\pi\)
\(432\) 4.47414 + 20.2973i 0.215262 + 0.976556i
\(433\) 11.0862i 0.532769i −0.963867 0.266385i \(-0.914171\pi\)
0.963867 0.266385i \(-0.0858292\pi\)
\(434\) 0.525957 + 3.06385i 0.0252468 + 0.147070i
\(435\) −8.32902 1.29595i −0.399346 0.0621362i
\(436\) 9.50930 + 0.501441i 0.455413 + 0.0240147i
\(437\) 7.81862 + 18.8758i 0.374015 + 0.902953i
\(438\) −0.209764 13.4017i −0.0100229 0.640359i
\(439\) 18.4802 18.4802i 0.882011 0.882011i −0.111728 0.993739i \(-0.535639\pi\)
0.993739 + 0.111728i \(0.0356386\pi\)
\(440\) −17.4670 + 9.77087i −0.832706 + 0.465808i
\(441\) −5.57805 + 17.4909i −0.265621 + 0.832901i
\(442\) −10.2760 16.2922i −0.488778 0.774943i
\(443\) 15.7855 + 38.1095i 0.749991 + 1.81064i 0.559251 + 0.828998i \(0.311089\pi\)
0.190740 + 0.981641i \(0.438911\pi\)
\(444\) −1.60664 2.46106i −0.0762477 0.116797i
\(445\) −29.5173 12.2265i −1.39925 0.579590i
\(446\) −12.3430 8.72618i −0.584460 0.413197i
\(447\) −18.7728 + 4.56103i −0.887923 + 0.215730i
\(448\) 1.74524 + 7.30062i 0.0824550 + 0.344922i
\(449\) 23.9532i 1.13042i 0.824946 + 0.565211i \(0.191205\pi\)
−0.824946 + 0.565211i \(0.808795\pi\)
\(450\) 3.87269 27.7408i 0.182561 1.30771i
\(451\) −5.32813 + 12.8632i −0.250892 + 0.605706i
\(452\) 3.90306 + 11.0332i 0.183585 + 0.518959i
\(453\) 17.5900 + 24.0725i 0.826451 + 1.13102i
\(454\) −2.28814 + 1.44319i −0.107388 + 0.0677323i
\(455\) 13.6811 13.6811i 0.641381 0.641381i
\(456\) −12.0008 + 11.1434i −0.561991 + 0.521836i
\(457\) −3.61836 3.61836i −0.169260 0.169260i 0.617394 0.786654i \(-0.288188\pi\)
−0.786654 + 0.617394i \(0.788188\pi\)
\(458\) 17.4146 + 3.94348i 0.813731 + 0.184267i
\(459\) 5.22221 10.4595i 0.243752 0.488206i
\(460\) −2.19248 + 41.5780i −0.102225 + 1.93859i
\(461\) −11.0476 4.57608i −0.514539 0.213129i 0.110277 0.993901i \(-0.464826\pi\)
−0.624816 + 0.780772i \(0.714826\pi\)
\(462\) −1.89598 4.38204i −0.0882089 0.203871i
\(463\) −27.8395 −1.29381 −0.646906 0.762569i \(-0.723938\pi\)
−0.646906 + 0.762569i \(0.723938\pi\)
\(464\) 1.61963 + 5.48077i 0.0751894 + 0.254438i
\(465\) −13.4306 + 3.26309i −0.622829 + 0.151322i
\(466\) 2.36435 + 13.7730i 0.109526 + 0.638024i
\(467\) −15.3748 + 37.1181i −0.711462 + 1.71762i −0.0151469 + 0.999885i \(0.504822\pi\)
−0.696315 + 0.717736i \(0.745178\pi\)
\(468\) −33.9769 12.8433i −1.57058 0.593680i
\(469\) 7.83888 3.24697i 0.361966 0.149931i
\(470\) −14.2264 3.22152i −0.656214 0.148598i
\(471\) 9.89510 16.2465i 0.455942 0.748597i
\(472\) 2.69210 + 22.8402i 0.123914 + 1.05131i
\(473\) 3.65304 + 3.65304i 0.167967 + 0.167967i
\(474\) −4.30485 4.17216i −0.197728 0.191634i
\(475\) 20.3896 8.44564i 0.935538 0.387512i
\(476\) 1.81887 3.81018i 0.0833680 0.174639i
\(477\) 2.29867 + 27.3058i 0.105249 + 1.25025i
\(478\) 7.63270 + 5.39611i 0.349112 + 0.246812i
\(479\) −23.6720 −1.08160 −0.540800 0.841151i \(-0.681878\pi\)
−0.540800 + 0.841151i \(0.681878\pi\)
\(480\) −31.8533 + 9.95764i −1.45390 + 0.454502i
\(481\) 5.13632 0.234196
\(482\) −15.3691 10.8655i −0.700044 0.494912i
\(483\) −9.81464 1.52711i −0.446582 0.0694859i
\(484\) 12.0644 + 5.75922i 0.548383 + 0.261783i
\(485\) −14.1228 + 5.84987i −0.641284 + 0.265629i
\(486\) −4.02526 21.6748i −0.182589 0.983189i
\(487\) −1.06704 1.06704i −0.0483522 0.0483522i 0.682517 0.730869i \(-0.260885\pi\)
−0.730869 + 0.682517i \(0.760885\pi\)
\(488\) −2.44271 1.92759i −0.110576 0.0872580i
\(489\) −15.6143 9.51006i −0.706101 0.430060i
\(490\) −28.7505 6.51046i −1.29882 0.294113i
\(491\) 24.4454 10.1256i 1.10321 0.456964i 0.244614 0.969621i \(-0.421339\pi\)
0.858594 + 0.512657i \(0.171339\pi\)
\(492\) −13.1041 + 19.1650i −0.590779 + 0.864023i
\(493\) 1.23015 2.96985i 0.0554033 0.133755i
\(494\) −4.84221 28.2073i −0.217862 1.26911i
\(495\) 18.8617 9.74023i 0.847771 0.437791i
\(496\) 5.89261 + 7.28639i 0.264586 + 0.327168i
\(497\) 0.222141 0.00996439
\(498\) 30.4101 13.1576i 1.36271 0.589604i
\(499\) 23.7276 + 9.82828i 1.06219 + 0.439974i 0.844229 0.535983i \(-0.180059\pi\)
0.217963 + 0.975957i \(0.430059\pi\)
\(500\) 10.8980 + 0.574669i 0.487373 + 0.0257000i
\(501\) 18.6081 + 25.4658i 0.831349 + 1.13773i
\(502\) 20.0192 + 4.53327i 0.893499 + 0.202330i
\(503\) −8.35178 8.35178i −0.372387 0.372387i 0.495959 0.868346i \(-0.334817\pi\)
−0.868346 + 0.495959i \(0.834817\pi\)
\(504\) −1.59195 7.80087i −0.0709113 0.347479i
\(505\) −32.8714 + 32.8714i −1.46276 + 1.46276i
\(506\) −15.1875 + 9.57918i −0.675168 + 0.425847i
\(507\) 33.0734 24.1670i 1.46884 1.07330i
\(508\) 19.4045 6.86443i 0.860934 0.304560i
\(509\) −2.98703 + 7.21134i −0.132398 + 0.319637i −0.976150 0.217096i \(-0.930342\pi\)
0.843752 + 0.536733i \(0.180342\pi\)
\(510\) 17.4529 + 6.91124i 0.772827 + 0.306035i
\(511\) 5.13423i 0.227125i
\(512\) 15.3353 + 16.6381i 0.677733 + 0.735308i
\(513\) 13.1157 11.3884i 0.579074 0.502812i
\(514\) −13.9140 9.83684i −0.613722 0.433884i
\(515\) −23.9070 9.90262i −1.05347 0.436361i
\(516\) 4.70916 + 7.21353i 0.207309 + 0.317558i
\(517\) −2.40734 5.81184i −0.105875 0.255605i
\(518\) 0.600602 + 0.952237i 0.0263889 + 0.0418389i
\(519\) 9.66577 15.8699i 0.424280 0.696612i
\(520\) 15.8586 56.1262i 0.695445 2.46130i
\(521\) −5.48494 + 5.48494i −0.240299 + 0.240299i −0.816974 0.576675i \(-0.804350\pi\)
0.576675 + 0.816974i \(0.304350\pi\)
\(522\) −1.52314 5.86727i −0.0666659 0.256803i
\(523\) 6.43166 + 15.5274i 0.281237 + 0.678966i 0.999865 0.0164288i \(-0.00522969\pi\)
−0.718628 + 0.695394i \(0.755230\pi\)
\(524\) −1.86914 + 35.4463i −0.0816537 + 1.54848i
\(525\) −1.64958 + 10.6017i −0.0719934 + 0.462697i
\(526\) 0.821485 + 4.78539i 0.0358185 + 0.208653i
\(527\) 5.27084i 0.229601i
\(528\) −11.4368 8.73808i −0.497722 0.380276i
\(529\) 14.3544i 0.624106i
\(530\) −43.3653 + 7.44431i −1.88367 + 0.323360i
\(531\) −2.04626 24.3074i −0.0888000 1.05485i
\(532\) 4.66322 4.19606i 0.202176 0.181922i
\(533\) −15.5268 37.4851i −0.672542 1.62366i
\(534\) −0.359574 22.9730i −0.0155603 0.994138i
\(535\) −35.1518 + 35.1518i −1.51974 + 1.51974i
\(536\) 15.8442 20.0782i 0.684364 0.867248i
\(537\) 36.8107 + 22.4200i 1.58850 + 0.967495i
\(538\) 14.3548 9.05393i 0.618877 0.390343i
\(539\) −4.86507 11.7453i −0.209554 0.505907i
\(540\) 34.1188 9.42956i 1.46824 0.405784i
\(541\) −3.57097 1.47914i −0.153528 0.0635934i 0.304596 0.952482i \(-0.401478\pi\)
−0.458124 + 0.888888i \(0.651478\pi\)
\(542\) −13.6018 + 19.2396i −0.584249 + 0.826409i
\(543\) 4.89565 + 20.1500i 0.210092 + 0.864720i
\(544\) −0.822143 12.7006i −0.0352491 0.544534i
\(545\) 16.2176i 0.694687i
\(546\) 12.9365 + 5.12276i 0.553629 + 0.219234i
\(547\) 1.97916 4.77812i 0.0846228 0.204298i −0.875904 0.482486i \(-0.839734\pi\)
0.960527 + 0.278188i \(0.0897339\pi\)
\(548\) 21.5348 + 10.2801i 0.919921 + 0.439144i
\(549\) 2.52129 + 2.12975i 0.107606 + 0.0908956i
\(550\) 10.3474 + 16.4055i 0.441214 + 0.699532i
\(551\) 3.37727 3.37727i 0.143877 0.143877i
\(552\) −28.0678 + 10.4262i −1.19464 + 0.443768i
\(553\) 1.62378 + 1.62378i 0.0690502 + 0.0690502i
\(554\) 8.88745 39.2474i 0.377592 1.66746i
\(555\) −4.04148 + 2.95315i −0.171551 + 0.125354i
\(556\) −30.0714 + 27.0588i −1.27531 + 1.14755i
\(557\) 30.8826 + 12.7920i 1.30854 + 0.542014i 0.924457 0.381286i \(-0.124519\pi\)
0.384080 + 0.923300i \(0.374519\pi\)
\(558\) −5.98896 7.93243i −0.253533 0.335807i
\(559\) −15.0549 −0.636755
\(560\) 12.2598 3.62290i 0.518071 0.153096i
\(561\) 1.91128 + 7.86665i 0.0806943 + 0.332130i
\(562\) 0.215135 0.0369312i 0.00907493 0.00155785i
\(563\) 6.06412 14.6401i 0.255572 0.617005i −0.743064 0.669221i \(-0.766628\pi\)
0.998636 + 0.0522151i \(0.0166281\pi\)
\(564\) −1.93634 10.3094i −0.0815345 0.434106i
\(565\) 18.4144 7.62750i 0.774700 0.320891i
\(566\) −3.89317 + 17.1924i −0.163642 + 0.722652i
\(567\) 1.41177 + 8.32577i 0.0592888 + 0.349649i
\(568\) 0.584411 0.326914i 0.0245213 0.0137170i
\(569\) −24.5419 24.5419i −1.02885 1.02885i −0.999571 0.0292808i \(-0.990678\pi\)
−0.0292808 0.999571i \(1.49068\pi\)
\(570\) 20.0280 + 19.4107i 0.838881 + 0.813025i
\(571\) −37.5798 + 15.5661i −1.57266 + 0.651419i −0.987230 0.159301i \(-0.949076\pi\)
−0.585435 + 0.810720i \(0.699076\pi\)
\(572\) 23.7130 8.38859i 0.991489 0.350744i
\(573\) −0.0356051 + 0.228832i −0.00148743 + 0.00955959i
\(574\) 5.13388 7.26178i 0.214284 0.303101i
\(575\) 40.3501 1.68271
\(576\) −15.6683 18.1798i −0.652845 0.757492i
\(577\) −37.6825 −1.56874 −0.784371 0.620292i \(-0.787014\pi\)
−0.784371 + 0.620292i \(0.787014\pi\)
\(578\) 9.74617 13.7858i 0.405387 0.573413i
\(579\) −1.99395 + 12.8150i −0.0828657 + 0.532573i
\(580\) 9.17601 3.24606i 0.381013 0.134785i
\(581\) −11.7262 + 4.85715i −0.486485 + 0.201509i
\(582\) −7.89392 7.65062i −0.327214 0.317128i
\(583\) −13.4177 13.4177i −0.555705 0.555705i
\(584\) 7.55579 + 13.5072i 0.312661 + 0.558931i
\(585\) −18.7957 + 58.9371i −0.777105 + 2.43675i
\(586\) −4.95446 + 21.8791i −0.204667 + 0.903819i
\(587\) 16.1148 6.67499i 0.665131 0.275506i −0.0244651 0.999701i \(-0.507788\pi\)
0.689596 + 0.724195i \(0.257788\pi\)
\(588\) −3.91320 20.8346i −0.161378 0.859206i
\(589\) 2.99697 7.23532i 0.123488 0.298126i
\(590\) 38.6034 6.62686i 1.58928 0.272824i
\(591\) −1.87465 7.71588i −0.0771127 0.317389i
\(592\) 2.98143 + 1.62128i 0.122536 + 0.0666341i
\(593\) −35.2533 −1.44768 −0.723839 0.689969i \(-0.757624\pi\)
−0.723839 + 0.689969i \(0.757624\pi\)
\(594\) 11.8148 + 9.66735i 0.484769 + 0.396656i
\(595\) −6.64317 2.75169i −0.272344 0.112808i
\(596\) 16.5826 14.9213i 0.679249 0.611201i
\(597\) −7.39841 + 5.40609i −0.302797 + 0.221257i
\(598\) 11.5565 51.0342i 0.472581 2.08694i
\(599\) 12.1323 + 12.1323i 0.495712 + 0.495712i 0.910100 0.414388i \(-0.136004\pi\)
−0.414388 + 0.910100i \(0.636004\pi\)
\(600\) 11.2623 + 30.3187i 0.459782 + 1.23776i
\(601\) 0.0132863 0.0132863i 0.000541959 0.000541959i −0.706836 0.707378i \(-0.749878\pi\)
0.707378 + 0.706836i \(0.249878\pi\)
\(602\) −1.76041 2.79107i −0.0717488 0.113756i
\(603\) −17.5059 + 20.7241i −0.712894 + 0.843953i
\(604\) −31.0682 14.8311i −1.26415 0.603468i
\(605\) 8.71287 21.0347i 0.354228 0.855183i
\(606\) −31.0822 12.3084i −1.26263 0.499994i
\(607\) 5.69469i 0.231140i 0.993299 + 0.115570i \(0.0368695\pi\)
−0.993299 + 0.115570i \(0.963130\pi\)
\(608\) 6.09292 17.9017i 0.247100 0.726008i
\(609\) 0.548201 + 2.25635i 0.0222142 + 0.0914317i
\(610\) −3.05923 + 4.32723i −0.123865 + 0.175204i
\(611\) 16.9364 + 7.01530i 0.685175 + 0.283809i
\(612\) 0.422477 + 13.4926i 0.0170776 + 0.545406i
\(613\) −12.0221 29.0239i −0.485567 1.17226i −0.956929 0.290322i \(-0.906237\pi\)
0.471362 0.881940i \(-0.343763\pi\)
\(614\) −23.2737 + 14.6793i −0.939249 + 0.592410i
\(615\) 33.7694 + 20.5677i 1.36171 + 0.829369i
\(616\) 4.32800 + 3.41532i 0.174380 + 0.137607i
\(617\) −12.5126 + 12.5126i −0.503739 + 0.503739i −0.912598 0.408859i \(-0.865927\pi\)
0.408859 + 0.912598i \(0.365927\pi\)
\(618\) −0.291231 18.6066i −0.0117150 0.748467i
\(619\) 9.64869 + 23.2940i 0.387814 + 0.936265i 0.990402 + 0.138213i \(0.0441359\pi\)
−0.602589 + 0.798052i \(0.705864\pi\)
\(620\) 11.8636 10.6751i 0.476455 0.428724i
\(621\) 30.1225 10.0601i 1.20877 0.403698i
\(622\) 29.0879 4.99339i 1.16632 0.200217i
\(623\) 8.80100i 0.352605i
\(624\) 41.5722 5.56093i 1.66422 0.222615i
\(625\) 14.4239i 0.576955i
\(626\) −1.27336 7.41768i −0.0508936 0.296470i
\(627\) −1.84930 + 11.8853i −0.0738539 + 0.474655i
\(628\) −1.15667 + 21.9350i −0.0461560 + 0.875300i
\(629\) −0.730492 1.76356i −0.0291266 0.0703178i
\(630\) −13.1243 + 3.40707i −0.522886 + 0.135741i
\(631\) 14.0643 14.0643i 0.559893 0.559893i −0.369384 0.929277i \(-0.620431\pi\)
0.929277 + 0.369384i \(0.120431\pi\)
\(632\) 6.66149 + 1.88222i 0.264980 + 0.0748706i
\(633\) −0.550373 + 0.903639i −0.0218753 + 0.0359164i
\(634\) 11.1483 + 17.6754i 0.442757 + 0.701978i
\(635\) −13.4147 32.3860i −0.532346 1.28520i
\(636\) −17.2969 26.4955i −0.685866 1.05061i
\(637\) 34.2273 + 14.1774i 1.35614 + 0.561730i
\(638\) 3.42756 + 2.42319i 0.135698 + 0.0959349i
\(639\) −0.631075 + 0.325889i −0.0249649 + 0.0128920i
\(640\) 26.9215 27.5733i 1.06417 1.08993i
\(641\) 2.18451i 0.0862828i −0.999069 0.0431414i \(-0.986263\pi\)
0.999069 0.0431414i \(-0.0137366\pi\)
\(642\) −33.2385 13.1622i −1.31182 0.519472i
\(643\) 10.9947 26.5434i 0.433587 1.04677i −0.544535 0.838738i \(-0.683294\pi\)
0.978122 0.208033i \(-0.0667062\pi\)
\(644\) 10.8127 3.82505i 0.426080 0.150728i
\(645\) 11.8459 8.65589i 0.466430 0.340825i
\(646\) −8.99636 + 5.67425i −0.353957 + 0.223250i
\(647\) −18.0436 + 18.0436i −0.709366 + 0.709366i −0.966402 0.257036i \(-0.917254\pi\)
0.257036 + 0.966402i \(0.417254\pi\)
\(648\) 15.9667 + 19.8259i 0.627231 + 0.778833i
\(649\) 11.9443 + 11.9443i 0.468857 + 0.468857i
\(650\) −55.1269 12.4833i −2.16225 0.489635i
\(651\) 2.24627 + 3.07409i 0.0880382 + 0.120483i
\(652\) 21.0814 + 1.11166i 0.825612 + 0.0435359i
\(653\) −9.04305 3.74575i −0.353882 0.146583i 0.198659 0.980069i \(-0.436342\pi\)
−0.552540 + 0.833486i \(0.686342\pi\)
\(654\) 10.7037 4.63118i 0.418548 0.181094i
\(655\) 60.4518 2.36205
\(656\) 2.81945 26.6596i 0.110081 1.04088i
\(657\) −7.53210 14.5857i −0.293855 0.569043i
\(658\) 0.679830 + 3.96021i 0.0265025 + 0.154385i
\(659\) 6.74648 16.2874i 0.262805 0.634468i −0.736305 0.676650i \(-0.763431\pi\)
0.999110 + 0.0421820i \(0.0134309\pi\)
\(660\) −13.8354 + 20.2344i −0.538541 + 0.787623i
\(661\) −20.2135 + 8.37271i −0.786215 + 0.325661i −0.739421 0.673244i \(-0.764900\pi\)
−0.0467942 + 0.998905i \(0.514900\pi\)
\(662\) −13.9789 3.16549i −0.543307 0.123030i
\(663\) −20.1484 12.2716i −0.782498 0.476590i
\(664\) −23.7014 + 30.0351i −0.919791 + 1.16559i
\(665\) −7.55453 7.55453i −0.292952 0.292952i
\(666\) −3.10320 1.82408i −0.120247 0.0706818i
\(667\) 8.06767 3.34174i 0.312381 0.129393i
\(668\) −32.8664 15.6895i −1.27164 0.607044i
\(669\) −18.2933 2.84634i −0.707258 0.110046i
\(670\) −35.5684 25.1459i −1.37413 0.971470i
\(671\) −2.28546 −0.0882291
\(672\) 5.89210 + 7.05695i 0.227293 + 0.272228i
\(673\) −12.4887 −0.481404 −0.240702 0.970599i \(-0.577378\pi\)
−0.240702 + 0.970599i \(0.577378\pi\)
\(674\) 21.3122 + 15.0671i 0.820915 + 0.580364i
\(675\) −10.8669 32.5382i −0.418266 1.25239i
\(676\) −20.3765 + 42.6848i −0.783712 + 1.64172i
\(677\) −40.9040 + 16.9430i −1.57207 + 0.651173i −0.987132 0.159906i \(-0.948881\pi\)
−0.584937 + 0.811078i \(0.698881\pi\)
\(678\) 10.2927 + 9.97545i 0.395288 + 0.383105i
\(679\) 2.97757 + 2.97757i 0.114269 + 0.114269i
\(680\) −21.5264 + 2.53725i −0.825501 + 0.0972990i
\(681\) −1.72347 + 2.82970i −0.0660433 + 0.108434i
\(682\) 6.71282 + 1.52009i 0.257047 + 0.0582074i
\(683\) 8.56803 3.54899i 0.327846 0.135798i −0.212688 0.977120i \(-0.568222\pi\)
0.540535 + 0.841322i \(0.318222\pi\)
\(684\) −7.09187 + 18.7616i −0.271164 + 0.717368i
\(685\) 15.5523 37.5466i 0.594223 1.43458i
\(686\) 2.94543 + 17.1580i 0.112457 + 0.655095i
\(687\) 21.2502 5.16296i 0.810748 0.196979i
\(688\) −8.73877 4.75207i −0.333162 0.181171i
\(689\) 55.2970 2.10665
\(690\) 20.2492 + 46.8004i 0.770873 + 1.78166i
\(691\) −32.2776 13.3698i −1.22790 0.508611i −0.327984 0.944683i \(-0.606369\pi\)
−0.899912 + 0.436072i \(0.856369\pi\)
\(692\) −1.12986 + 21.4266i −0.0429508 + 0.814517i
\(693\) −4.46723 3.77350i −0.169696 0.143344i
\(694\) −7.27033 1.64634i −0.275978 0.0624943i
\(695\) 48.7163 + 48.7163i 1.84792 + 1.84792i
\(696\) 4.76276 + 5.12925i 0.180532 + 0.194424i
\(697\) −10.6623 + 10.6623i −0.403864 + 0.403864i
\(698\) −24.6517 + 15.5485i −0.933080 + 0.588519i
\(699\) 10.0977 + 13.8191i 0.381931 + 0.522685i
\(700\) −4.13180 11.6798i −0.156167 0.441456i
\(701\) −7.31376 + 17.6570i −0.276237 + 0.666895i −0.999725 0.0234415i \(-0.992538\pi\)
0.723488 + 0.690337i \(0.242538\pi\)
\(702\) −44.2661 + 4.42511i −1.67072 + 0.167015i
\(703\) 2.83621i 0.106970i
\(704\) 16.4123 + 2.61575i 0.618561 + 0.0985849i
\(705\) −17.3598 + 4.21774i −0.653808 + 0.158849i
\(706\) 15.4272 + 10.9066i 0.580610 + 0.410475i
\(707\) 11.8310 + 4.90055i 0.444949 + 0.184304i
\(708\) 15.3975 + 23.5860i 0.578675 + 0.886418i
\(709\) 17.1483 + 41.3997i 0.644019 + 1.55480i 0.821212 + 0.570624i \(0.193299\pi\)
−0.177192 + 0.984176i \(0.556701\pi\)
\(710\) −0.608400 0.964601i −0.0228328 0.0362008i
\(711\) −6.99510 2.23081i −0.262337 0.0836621i
\(712\) 12.9520 + 23.1537i 0.485396 + 0.867723i
\(713\) 10.1246 10.1246i 0.379170 0.379170i
\(714\) −0.0809259 5.17031i −0.00302858 0.193494i
\(715\) −16.3933 39.5768i −0.613073 1.48009i
\(716\) −49.6995 2.62074i −1.85736 0.0979415i
\(717\) 11.3122 + 1.76013i 0.422462 + 0.0657331i
\(718\) −0.174200 1.01477i −0.00650109 0.0378708i
\(719\) 41.1609i 1.53504i −0.641023 0.767522i \(-0.721490\pi\)
0.641023 0.767522i \(-0.278510\pi\)
\(720\) −29.5136 + 28.2777i −1.09991 + 1.05385i
\(721\) 7.12823i 0.265469i
\(722\) 10.9070 1.87235i 0.405916 0.0696817i
\(723\) −22.7781 3.54417i −0.847128 0.131809i
\(724\) −16.0160 17.7991i −0.595230 0.661499i
\(725\) −3.60973 8.71466i −0.134062 0.323654i
\(726\) 16.3711 0.256241i 0.607589 0.00951000i
\(727\) −2.53270 + 2.53270i −0.0939328 + 0.0939328i −0.752512 0.658579i \(-0.771158\pi\)
0.658579 + 0.752512i \(0.271158\pi\)
\(728\) −15.9559 + 1.88066i −0.591363 + 0.0697020i
\(729\) −16.2249 21.5813i −0.600920 0.799309i
\(730\) 22.2943 14.0616i 0.825150 0.520444i
\(731\) 2.14112 + 5.16912i 0.0791922 + 0.191187i
\(732\) −3.72960 0.783403i −0.137850 0.0289554i
\(733\) −12.2518 5.07484i −0.452529 0.187444i 0.144765 0.989466i \(-0.453757\pi\)
−0.597294 + 0.802023i \(0.703757\pi\)
\(734\) 30.6899 43.4104i 1.13279 1.60231i
\(735\) −35.0830 + 8.52375i −1.29405 + 0.314403i
\(736\) 22.8170 25.9755i 0.841046 0.957469i
\(737\) 18.7857i 0.691980i
\(738\) −3.93142 + 28.1614i −0.144717 + 1.03664i
\(739\) 0.871699 2.10447i 0.0320659 0.0774141i −0.907035 0.421054i \(-0.861660\pi\)
0.939101 + 0.343640i \(0.111660\pi\)
\(740\) 2.48996 5.21597i 0.0915327 0.191743i
\(741\) −20.6802 28.3015i −0.759707 1.03968i
\(742\) 6.46601 + 10.2517i 0.237375 + 0.376351i
\(743\) −37.5946 + 37.5946i −1.37921 + 1.37921i −0.533262 + 0.845950i \(0.679034\pi\)
−0.845950 + 0.533262i \(0.820966\pi\)
\(744\) 10.4335 + 4.78162i 0.382510 + 0.175303i
\(745\) −26.8642 26.8642i −0.984226 0.984226i
\(746\) −7.64811 + 33.7745i −0.280017 + 1.23657i
\(747\) 26.1871 31.0013i 0.958134 1.13428i
\(748\) −6.25271 6.94885i −0.228622 0.254075i
\(749\) 12.6517 + 5.24051i 0.462283 + 0.191484i
\(750\) 12.2668 5.30750i 0.447921 0.193802i
\(751\) 33.5914 1.22577 0.612885 0.790172i \(-0.290009\pi\)
0.612885 + 0.790172i \(0.290009\pi\)
\(752\) 7.61654 + 9.41808i 0.277747 + 0.343442i
\(753\) 24.4285 5.93514i 0.890223 0.216288i
\(754\) −12.0560 + 2.06960i −0.439054 + 0.0753704i
\(755\) −22.4372 + 54.1683i −0.816575 + 1.97139i
\(756\) −5.99653 7.68919i −0.218092 0.279653i
\(757\) 30.7254 12.7269i 1.11673 0.462567i 0.253483 0.967340i \(-0.418424\pi\)
0.863252 + 0.504773i \(0.168424\pi\)
\(758\) 4.78628 21.1364i 0.173845 0.767710i
\(759\) −11.4395 + 18.7822i −0.415228 + 0.681749i
\(760\) −30.9921 8.75690i −1.12420 0.317646i