Properties

Label 96.2.o.a.11.5
Level 96
Weight 2
Character 96.11
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 11.5
Character \(\chi\) = 96.11
Dual form 96.2.o.a.35.5

$q$-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 \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{8}\right)\) \(-1\)

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 −0.455687 0.890140i \(-0.650606\pi\)
−0.951644 + 0.307205i \(0.900606\pi\)
\(6\) −1.75895 + 1.70473i −0.718086 + 0.695954i
\(7\) 0.663471 0.663471i 0.250769 0.250769i −0.570517 0.821286i \(-0.693257\pi\)
0.821286 + 0.570517i \(0.193257\pi\)
\(8\) 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 0.652776 0.757551i \(-0.273604\pi\)
−0.0740873 + 0.997252i \(0.523604\pi\)
\(12\) 3.40457 + 0.639453i 0.982815 + 0.184594i
\(13\) −2.31672 5.59306i −0.642543 1.55123i −0.823238 0.567696i \(-0.807835\pi\)
0.180696 0.983539i \(-0.442165\pi\)
\(14\) −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 0.000833646 1.00000i \(-0.499735\pi\)
0.707696 + 0.706517i \(0.249735\pi\)
\(20\) 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 −0.0943951 0.995535i \(-0.530092\pi\)
0.995535 + 0.0943951i \(0.0300917\pi\)
\(24\) −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 0.966480 0.256741i \(-0.0826489\pi\)
−0.864948 + 0.501861i \(0.832649\pi\)
\(30\) 7.75729 3.07184i 1.41628 0.560839i
\(31\) 2.34273i 0.420767i 0.977619 + 0.210384i \(0.0674713\pi\)
−0.977619 + 0.210384i \(0.932529\pi\)
\(32\) −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 −0.948319 0.317319i \(-0.897217\pi\)
0.894941 + 0.446184i \(0.147217\pi\)
\(38\) −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 0.232481 0.972601i \(-0.425316\pi\)
−0.972601 + 0.232481i \(0.925316\pi\)
\(42\) −0.0359692 + 2.29805i −0.00555016 + 0.354597i
\(43\) 0.951664 2.29752i 0.145127 0.350369i −0.834555 0.550925i \(-0.814275\pi\)
0.979682 + 0.200556i \(0.0642750\pi\)
\(44\) −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 \(0.0708825\pi\)
−0.975308 + 0.220848i \(0.929117\pi\)
\(48\) −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 0.479399 + 0.877597i \(0.340855\pi\)
−0.959541 + 0.281568i \(0.909145\pi\)
\(54\) 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 −0.581305 0.813686i \(-0.697458\pi\)
0.986407 0.164318i \(-0.0525425\pi\)
\(60\) −9.88028 6.45009i −1.27554 0.832703i
\(61\) −1.01639 + 0.421005i −0.130136 + 0.0539041i −0.446801 0.894633i \(-0.647437\pi\)
0.316665 + 0.948537i \(0.397437\pi\)
\(62\) 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 0.981527 + 0.191325i \(0.0612784\pi\)
−0.558757 + 0.829331i \(0.688722\pi\)
\(68\) −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 0.716971 0.697103i \(-0.245528\pi\)
−0.697103 + 0.716971i \(0.745528\pi\)
\(72\) −7.07855 + 4.67912i −0.834215 + 0.551439i
\(73\) 3.86922 3.86922i 0.452858 0.452858i −0.443444 0.896302i \(-0.646244\pi\)
0.896302 + 0.443444i \(0.146244\pi\)
\(74\) 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 −0.903066 0.429502i \(-0.858689\pi\)
0.334860 0.942268i \(1.60869\pi\)
\(84\) 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 −0.262016 0.965064i \(-0.584387\pi\)
0.965064 + 0.262016i \(0.0843872\pi\)
\(90\) −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 0.908263 0.418399i \(-0.137409\pi\)
0.346386 + 0.938092i \(0.387409\pi\)
\(102\) −3.95740 + 3.83542i −0.391841 + 0.379764i
\(103\) 5.37192 5.37192i 0.529311 0.529311i −0.391056 0.920367i \(-0.627890\pi\)
0.920367 + 0.391056i \(0.127890\pi\)
\(104\) −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 0.922989 0.384826i \(-0.125739\pi\)
0.380538 + 0.924765i \(0.375739\pi\)
\(108\) −10.3137 + 1.27561i −0.992438 + 0.122746i
\(109\) −1.82205 4.39883i −0.174521 0.421331i 0.812280 0.583268i \(-0.198226\pi\)
−0.986801 + 0.161936i \(0.948226\pi\)
\(110\) −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 \(-0.849064\pi\)
0.889668 0.456608i \(-0.150936\pi\)
\(128\) −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 −0.957990 0.286800i \(-0.907408\pi\)
−0.474603 + 0.880200i \(0.657408\pi\)
\(132\) 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 0.247969 0.968768i \(-0.420237\pi\)
−0.968768 + 0.247969i \(0.920237\pi\)
\(138\) −0.234296 + 14.9690i −0.0199446 + 1.27425i
\(139\) −7.74040 + 18.6870i −0.656532 + 1.58501i 0.146592 + 0.989197i \(0.453169\pi\)
−0.803124 + 0.595812i \(0.796831\pi\)
\(140\) −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 −0.646979 0.762508i \(-0.723968\pi\)
0.996658 0.0816908i \(-0.0260320\pi\)
\(150\) −16.1695 0.253085i −1.32023 0.0206643i
\(151\) 12.1716 + 12.1716i 0.990514 + 0.990514i 0.999955 0.00944142i \(-0.00300534\pi\)
−0.00944142 + 0.999955i \(0.503005\pi\)
\(152\) 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 −0.748872 0.662714i \(-0.769404\pi\)
−0.0609231 + 0.998142i \(0.519404\pi\)
\(158\) −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 −0.999440 0.0334571i \(-0.989348\pi\)
0.683053 0.730369i \(-0.260652\pi\)
\(164\) 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 0.999993 0.00360853i \(-0.00114863\pi\)
−0.00360853 + 0.999993i \(0.501149\pi\)
\(168\) −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 −0.726194 0.687490i \(-0.758712\pi\)
−0.0273673 + 0.999625i \(0.508712\pi\)
\(174\) −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 0.695536 + 0.718491i \(0.255167\pi\)
0.0162316 + 0.999868i \(0.494833\pi\)
\(180\) −8.40799 + 18.6273i −0.626694 + 1.38840i
\(181\) 11.0607 + 4.58151i 0.822139 + 0.340541i 0.753786 0.657120i \(-0.228226\pi\)
0.0683528 + 0.997661i \(0.478226\pi\)
\(182\) 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 0.226666 0.973973i \(-0.427217\pi\)
−0.528425 + 0.848980i \(0.677217\pi\)
\(198\) 4.46634 + 7.59832i 0.317409 + 0.539989i
\(199\) 3.74082 3.74082i 0.265179 0.265179i −0.561975 0.827154i \(-0.689958\pi\)
0.827154 + 0.561975i \(0.189958\pi\)
\(200\) 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 −0.363173 0.931722i \(-0.618306\pi\)
0.402025 + 0.915629i \(0.368306\pi\)
\(212\) −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 \(-0.883498\pi\)
0.933766 0.357884i \(-0.116502\pi\)
\(224\) 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 −0.323262 0.946309i \(-0.604780\pi\)
0.440561 + 0.897723i \(0.354780\pi\)
\(228\) 11.3327 2.38044i 0.750529 0.157649i
\(229\) −4.83167 + 11.6647i −0.319286 + 0.770824i 0.680007 + 0.733206i \(0.261977\pi\)
−0.999292 + 0.0376176i \(0.988023\pi\)
\(230\) 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 0.897916 0.440166i \(-0.145080\pi\)
−0.440166 + 0.897916i \(0.645080\pi\)
\(234\) 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 \(0.0685752\pi\)
−0.976883 + 0.213773i \(0.931425\pi\)
\(240\) 18.7518 14.3270i 1.21043 0.924805i
\(241\) 13.3092i 0.857322i −0.903466 0.428661i \(-0.858986\pi\)
0.903466 0.428661i \(-0.141014\pi\)
\(242\) −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 0.645964 + 0.763368i \(0.276456\pi\)
−0.996548 + 0.0830174i \(0.973544\pi\)
\(252\) −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 \(-0.877367\pi\)
0.926700 0.375803i \(-0.122633\pi\)
\(258\) 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 0.777983 0.628285i \(-0.216243\pi\)
−0.628285 + 0.777983i \(0.716243\pi\)
\(264\) −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 −0.694153 0.719828i \(-0.744221\pi\)
0.0181552 + 0.999835i \(0.494221\pi\)
\(270\) −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 −0.591199 0.806526i \(-0.701345\pi\)
−0.988341 + 0.152259i \(0.951345\pi\)
\(278\) 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 −0.710355 0.703844i \(-0.751465\pi\)
0.703844 + 0.710355i \(0.251465\pi\)
\(282\) −5.16213 5.32629i −0.307400 0.317176i
\(283\) 11.5159 + 4.77003i 0.684547 + 0.283549i 0.697726 0.716364i \(-0.254195\pi\)
−0.0131791 + 0.999913i \(0.504195\pi\)
\(284\) −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 0.767205 0.641402i \(-0.221647\pi\)
0.0889561 + 0.996036i \(0.471647\pi\)
\(294\) −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 0.194694 0.980864i \(-0.437629\pi\)
0.831245 + 0.555906i \(0.187629\pi\)
\(308\) 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 −0.988433 0.151657i \(-0.951539\pi\)
0.151657 + 0.988433i \(0.451539\pi\)
\(312\) −20.1804 + 21.7333i −1.14249 + 1.23041i
\(313\) −3.76309 3.76309i −0.212703 0.212703i 0.592712 0.805415i \(-0.298057\pi\)
−0.805415 + 0.592712i \(0.798057\pi\)
\(314\) 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 0.999380 + 0.0352055i \(0.0112086\pi\)
−0.681774 + 0.731562i \(0.738791\pi\)
\(318\) −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 −0.780730 0.624869i \(-0.785152\pi\)
0.993908 + 0.110210i \(0.0351523\pi\)
\(332\) 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 \(0.167650\pi\)
−0.864476 + 0.502674i \(0.832350\pi\)
\(338\) 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 −0.860443 0.509547i \(-0.829813\pi\)
0.968729 + 0.248121i \(0.0798130\pi\)
\(348\) 1.01742 + 4.84370i 0.0545394 + 0.259649i
\(349\) 19.0402 7.88672i 1.01920 0.422166i 0.190397 0.981707i \(-0.439023\pi\)
0.828803 + 0.559541i \(0.189023\pi\)
\(350\) −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 \(0.115699\pi\)
−0.934666 + 0.355527i \(0.884301\pi\)
\(354\) 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 0.693391 0.720561i \(-0.256116\pi\)
−0.720561 + 0.693391i \(0.756116\pi\)
\(360\) 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 0.881644 0.471914i \(-0.156437\pi\)
0.289723 + 0.957111i \(0.406437\pi\)
\(374\) −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 −0.0118165 0.999930i \(-0.503761\pi\)
−0.715413 + 0.698702i \(0.753761\pi\)
\(380\) 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 0.987845 0.155444i \(-0.0496807\pi\)
0.588596 + 0.808427i \(0.299681\pi\)
\(390\) −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 −0.984557 0.175065i \(-0.943986\pi\)
0.572397 0.819977i \(-0.306014\pi\)
\(398\) −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 0.988808 + 0.149193i \(0.0476677\pi\)
0.149193 + 0.988808i \(0.452332\pi\)
\(410\) 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 −0.102431 0.994740i \(-0.532662\pi\)
0.630958 + 0.775817i \(0.282662\pi\)
\(420\) −10.8347 + 2.27584i −0.528681 + 0.111049i
\(421\) −11.0208 + 26.6066i −0.537121 + 1.29673i 0.389603 + 0.920983i \(0.372612\pi\)
−0.926724 + 0.375742i \(0.877388\pi\)
\(422\) −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 \(-0.997866\pi\)
0.999978 0.00670363i \(-0.00213385\pi\)
\(432\) 4.47414 20.2973i 0.215262 0.976556i
\(433\) 11.0862i 0.532769i 0.963867 + 0.266385i \(0.0858292\pi\)
−0.963867 + 0.266385i \(0.914171\pi\)
\(434\) 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 0.993739 0.111728i \(-0.0356386\pi\)
−0.111728 + 0.993739i \(0.535639\pi\)
\(440\) −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 0.190740 0.981641i \(-0.438911\pi\)
0.559251 0.828998i \(-0.311089\pi\)
\(444\) −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 \(-0.808795\pi\)
0.824946 0.565211i \(-0.191205\pi\)
\(450\) 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 −0.786654 0.617394i \(-0.788188\pi\)
0.617394 + 0.786654i \(0.288188\pi\)
\(458\) 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 −0.624816 0.780772i \(-0.714826\pi\)
0.110277 + 0.993901i \(0.464826\pi\)
\(462\) −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 −0.696315 0.717736i \(-0.745178\pi\)
−0.0151469 0.999885i \(1.49518\pi\)
\(468\) −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 −0.730869 0.682517i \(-0.760885\pi\)
0.682517 + 0.730869i \(0.260885\pi\)
\(488\) −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 0.858594 0.512657i \(-0.171339\pi\)
0.244614 + 0.969621i \(0.421339\pi\)
\(492\) −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 0.217963 0.975957i \(-0.430059\pi\)
0.844229 + 0.535983i \(0.180059\pi\)
\(500\) 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 −0.868346 0.495959i \(-0.834817\pi\)
0.495959 + 0.868346i \(0.334817\pi\)
\(504\) −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 0.843752 0.536733i \(-0.180342\pi\)
−0.976150 + 0.217096i \(0.930342\pi\)
\(510\) 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 0.576675 0.816974i \(-0.304350\pi\)
−0.816974 + 0.576675i \(0.804350\pi\)
\(522\) −1.52314 + 5.86727i −0.0666659 + 0.256803i
\(523\) 6.43166 15.5274i 0.281237 0.678966i −0.718628 0.695394i \(-0.755230\pi\)
0.999865 + 0.0164288i \(0.00522969\pi\)
\(524\) −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 −0.458124 0.888888i \(-0.651478\pi\)
0.304596 + 0.952482i \(0.401478\pi\)
\(542\) −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 0.960527 0.278188i \(-0.0897339\pi\)
−0.875904 + 0.482486i \(0.839734\pi\)
\(548\) 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 0.384080 0.923300i \(-0.374519\pi\)
0.924457 + 0.381286i \(0.124519\pi\)
\(558\) −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 0.998636 0.0522151i \(-0.0166281\pi\)
−0.743064 + 0.669221i \(0.766628\pi\)
\(564\) −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 −0.0292808 + 0.999571i \(0.509322\pi\)
−0.999571 + 0.0292808i \(0.990678\pi\)
\(570\) 20.0280 19.4107i 0.838881 0.813025i
\(571\) −37.5798 15.5661i −1.57266 0.651419i −0.585435 0.810720i \(-0.699076\pi\)
−0.987230 + 0.159301i \(0.949076\pi\)
\(572\) 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 0.689596 0.724195i \(-0.257788\pi\)
−0.0244651 + 0.999701i \(0.507788\pi\)
\(588\) −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 −0.414388 0.910100i \(-0.636004\pi\)
0.910100 + 0.414388i \(0.136004\pi\)
\(600\) 11.2623 30.3187i 0.459782 1.23776i
\(601\) 0.0132863 + 0.0132863i 0.000541959 + 0.000541959i 0.707378 0.706836i \(-0.249878\pi\)
−0.706836 + 0.707378i \(0.749878\pi\)
\(602\) −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 \(-0.963130\pi\)
0.993299 0.115570i \(-0.0368695\pi\)
\(608\) 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 0.471362 + 0.881940i \(0.343763\pi\)
−0.956929 + 0.290322i \(0.906237\pi\)
\(614\) −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 0.408859 0.912598i \(-0.365927\pi\)
−0.912598 + 0.408859i \(0.865927\pi\)
\(618\) −0.291231 + 18.6066i −0.0117150 + 0.748467i
\(619\) 9.64869 23.2940i 0.387814 0.936265i −0.602589 0.798052i \(-0.705864\pi\)
0.990402 0.138213i \(-0.0441359\pi\)
\(620\) 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 0.929277 0.369384i \(-0.120431\pi\)
−0.369384 + 0.929277i \(0.620431\pi\)
\(632\) 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 \(0.0137366\pi\)
−0.999069 + 0.0431414i \(0.986263\pi\)
\(642\) −33.2385 + 13.1622i −1.31182 + 0.519472i
\(643\) 10.9947 + 26.5434i 0.433587 + 1.04677i 0.978122 + 0.208033i \(0.0667062\pi\)
−0.544535 + 0.838738i \(0.683294\pi\)
\(644\) 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 0.257036 0.966402i \(-0.417254\pi\)
−0.966402 + 0.257036i \(0.917254\pi\)
\(648\) 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 −0.552540 0.833486i \(-0.686342\pi\)
0.198659 + 0.980069i \(0.436342\pi\)
\(654\) 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 0.999110 0.0421820i \(-0.0134309\pi\)
−0.736305 + 0.676650i \(0.763431\pi\)
\(660\) −13.8354 20.2344i −0.538541 0.787623i
\(661\) −20.2135 8.37271i −0.786215 0.325661i −0.0467942 0.998905i \(-0.514900\pi\)
−0.739421 + 0.673244i \(0.764900\pi\)
\(662\) −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 −0.584937 0.811078i \(-0.698881\pi\)
−0.987132 + 0.159906i \(0.948881\pi\)
\(678\) 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 0.540535 0.841322i \(-0.318222\pi\)
−0.212688 + 0.977120i \(0.568222\pi\)
\(684\) −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 −0.899912 0.436072i \(-0.856369\pi\)
−0.327984 + 0.944683i \(0.606369\pi\)
\(692\) −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 0.723488 0.690337i \(-0.242538\pi\)
−0.999725 + 0.0234415i \(0.992538\pi\)
\(702\) −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 −0.177192 0.984176i \(-0.556701\pi\)
0.821212 0.570624i \(-0.193299\pi\)
\(710\) −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 \(0.278510\pi\)
−0.641023 + 0.767522i \(0.721490\pi\)
\(720\) −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 0.658579 0.752512i \(-0.271158\pi\)
−0.752512 + 0.658579i \(0.771158\pi\)
\(728\) −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 −0.597294 0.802023i \(-0.703757\pi\)
0.144765 + 0.989466i \(0.453757\pi\)
\(734\) 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 0.939101 0.343640i \(-0.111660\pi\)
−0.907035 + 0.421054i \(0.861660\pi\)
\(740\) 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 −0.845950 0.533262i \(-0.820966\pi\)
−0.533262 0.845950i \(1.32097\pi\)
\(744\) 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 0.863252 0.504773i \(-0.168424\pi\)
0.253483 + 0.967340i \(0.418424\pi\)
\(758\) 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