Properties

Label 224.2.u.c.29.9
Level $224$
Weight $2$
Character 224.29
Analytic conductor $1.789$
Analytic rank $0$
Dimension $52$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.u (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(52\)
Relative dimension: \(13\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 29.9
Character \(\chi\) \(=\) 224.29
Dual form 224.2.u.c.85.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.631975 - 1.26515i) q^{2} +(2.91760 + 1.20851i) q^{3} +(-1.20122 - 1.59909i) q^{4} +(-0.629460 - 1.51965i) q^{5} +(3.37279 - 2.92745i) q^{6} +(0.707107 - 0.707107i) q^{7} +(-2.78223 + 0.509137i) q^{8} +(4.93055 + 4.93055i) q^{9} +O(q^{10})\) \(q+(0.631975 - 1.26515i) q^{2} +(2.91760 + 1.20851i) q^{3} +(-1.20122 - 1.59909i) q^{4} +(-0.629460 - 1.51965i) q^{5} +(3.37279 - 2.92745i) q^{6} +(0.707107 - 0.707107i) q^{7} +(-2.78223 + 0.509137i) q^{8} +(4.93055 + 4.93055i) q^{9} +(-2.32039 - 0.164019i) q^{10} +(-5.75610 + 2.38425i) q^{11} +(-1.57215 - 6.11717i) q^{12} +(0.0753604 - 0.181936i) q^{13} +(-0.447724 - 1.34147i) q^{14} -5.19444i q^{15} +(-1.11416 + 3.84170i) q^{16} +3.98721i q^{17} +(9.35388 - 3.12191i) q^{18} +(1.18647 - 2.86440i) q^{19} +(-1.67394 + 2.83199i) q^{20} +(2.91760 - 1.20851i) q^{21} +(-0.621266 + 8.78912i) q^{22} +(0.860956 + 0.860956i) q^{23} +(-8.73271 - 1.87688i) q^{24} +(1.62241 - 1.62241i) q^{25} +(-0.182551 - 0.210321i) q^{26} +(4.80123 + 11.5912i) q^{27} +(-1.98011 - 0.281338i) q^{28} +(5.85615 + 2.42570i) q^{29} +(-6.57175 - 3.28275i) q^{30} -5.52776 q^{31} +(4.15621 + 3.83744i) q^{32} -19.6754 q^{33} +(5.04443 + 2.51982i) q^{34} +(-1.51965 - 0.629460i) q^{35} +(1.96173 - 13.8070i) q^{36} +(-4.25158 - 10.2642i) q^{37} +(-2.87408 - 3.31130i) q^{38} +(0.439742 - 0.439742i) q^{39} +(2.52501 + 3.90753i) q^{40} +(-2.48800 - 2.48800i) q^{41} +(0.314901 - 4.45495i) q^{42} +(-1.99108 + 0.824733i) q^{43} +(10.7269 + 6.34050i) q^{44} +(4.38913 - 10.5963i) q^{45} +(1.63334 - 0.545137i) q^{46} +7.41348i q^{47} +(-7.89339 + 9.86205i) q^{48} -1.00000i q^{49} +(-1.02727 - 3.07792i) q^{50} +(-4.81857 + 11.6331i) q^{51} +(-0.381456 + 0.0980367i) q^{52} +(1.28857 - 0.533743i) q^{53} +(17.6989 + 1.25106i) q^{54} +(7.24647 + 7.24647i) q^{55} +(-1.60732 + 2.32735i) q^{56} +(6.92330 - 6.92330i) q^{57} +(6.76981 - 5.87594i) q^{58} +(0.0193914 + 0.0468150i) q^{59} +(-8.30636 + 6.23964i) q^{60} +(-11.0396 - 4.57274i) q^{61} +(-3.49340 + 6.99345i) q^{62} +6.97285 q^{63} +(7.48156 - 2.83307i) q^{64} -0.323916 q^{65} +(-12.4343 + 24.8923i) q^{66} +(3.63165 + 1.50428i) q^{67} +(6.37590 - 4.78950i) q^{68} +(1.47145 + 3.55239i) q^{69} +(-1.75674 + 1.52479i) q^{70} +(-0.181485 + 0.181485i) q^{71} +(-16.2282 - 11.2076i) q^{72} +(2.49063 + 2.49063i) q^{73} +(-15.6727 - 1.10784i) q^{74} +(6.69425 - 2.77285i) q^{75} +(-6.00564 + 1.54349i) q^{76} +(-2.38425 + 5.75610i) q^{77} +(-0.278435 - 0.834247i) q^{78} -4.65759i q^{79} +(6.53936 - 0.725061i) q^{80} +18.7021i q^{81} +(-4.72006 + 1.57535i) q^{82} +(2.03104 - 4.90335i) q^{83} +(-5.43717 - 3.21381i) q^{84} +(6.05917 - 2.50979i) q^{85} +(-0.214901 + 3.04023i) q^{86} +(14.1544 + 14.1544i) q^{87} +(14.8009 - 9.56418i) q^{88} +(5.52373 - 5.52373i) q^{89} +(-10.6321 - 12.2495i) q^{90} +(-0.0753604 - 0.181936i) q^{91} +(0.342550 - 2.41094i) q^{92} +(-16.1278 - 6.68033i) q^{93} +(9.37917 + 4.68513i) q^{94} -5.09973 q^{95} +(7.48856 + 16.2189i) q^{96} +14.4758 q^{97} +(-1.26515 - 0.631975i) q^{98} +(-40.1364 - 16.6251i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 52 q - 20 q^{6} + O(q^{10}) \) \( 52 q - 20 q^{6} - 8 q^{10} + 12 q^{12} - 12 q^{16} - 20 q^{18} + 20 q^{22} - 20 q^{23} - 8 q^{24} + 20 q^{26} - 24 q^{27} - 8 q^{28} + 20 q^{30} + 60 q^{32} - 48 q^{33} + 48 q^{34} + 8 q^{36} - 60 q^{38} - 24 q^{39} + 20 q^{40} - 44 q^{43} + 32 q^{44} + 40 q^{45} - 32 q^{46} - 84 q^{48} - 124 q^{50} + 16 q^{51} - 32 q^{52} - 36 q^{53} + 96 q^{54} + 32 q^{55} + 16 q^{56} + 4 q^{58} - 92 q^{60} - 32 q^{61} + 12 q^{62} + 68 q^{63} + 48 q^{64} + 80 q^{65} + 16 q^{66} + 28 q^{67} - 4 q^{68} - 32 q^{69} + 8 q^{70} - 88 q^{72} + 36 q^{74} + 32 q^{75} + 96 q^{76} - 12 q^{77} + 12 q^{78} - 108 q^{80} - 96 q^{82} + 64 q^{85} + 76 q^{86} - 56 q^{87} + 104 q^{88} - 132 q^{90} + 32 q^{92} - 4 q^{94} - 64 q^{95} + 8 q^{96} - 72 q^{97} - 64 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{3}{8}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.631975 1.26515i 0.446874 0.894597i
\(3\) 2.91760 + 1.20851i 1.68447 + 0.697732i 0.999524 0.0308571i \(-0.00982368\pi\)
0.684951 + 0.728589i \(0.259824\pi\)
\(4\) −1.20122 1.59909i −0.600608 0.799544i
\(5\) −0.629460 1.51965i −0.281503 0.679609i 0.718368 0.695663i \(-0.244889\pi\)
−0.999871 + 0.0160546i \(0.994889\pi\)
\(6\) 3.37279 2.92745i 1.37694 1.19513i
\(7\) 0.707107 0.707107i 0.267261 0.267261i
\(8\) −2.78223 + 0.509137i −0.983665 + 0.180007i
\(9\) 4.93055 + 4.93055i 1.64352 + 1.64352i
\(10\) −2.32039 0.164019i −0.733772 0.0518673i
\(11\) −5.75610 + 2.38425i −1.73553 + 0.718880i −0.736426 + 0.676518i \(0.763488\pi\)
−0.999102 + 0.0423620i \(0.986512\pi\)
\(12\) −1.57215 6.11717i −0.453842 1.76587i
\(13\) 0.0753604 0.181936i 0.0209012 0.0504600i −0.913084 0.407771i \(-0.866306\pi\)
0.933986 + 0.357311i \(0.116306\pi\)
\(14\) −0.447724 1.34147i −0.119659 0.358523i
\(15\) 5.19444i 1.34120i
\(16\) −1.11416 + 3.84170i −0.278540 + 0.960425i
\(17\) 3.98721i 0.967041i 0.875333 + 0.483520i \(0.160642\pi\)
−0.875333 + 0.483520i \(0.839358\pi\)
\(18\) 9.35388 3.12191i 2.20473 0.735841i
\(19\) 1.18647 2.86440i 0.272196 0.657139i −0.727381 0.686234i \(-0.759263\pi\)
0.999577 + 0.0290951i \(0.00926257\pi\)
\(20\) −1.67394 + 2.83199i −0.374304 + 0.633252i
\(21\) 2.91760 1.20851i 0.636672 0.263718i
\(22\) −0.621266 + 8.78912i −0.132454 + 1.87385i
\(23\) 0.860956 + 0.860956i 0.179522 + 0.179522i 0.791147 0.611626i \(-0.209484\pi\)
−0.611626 + 0.791147i \(0.709484\pi\)
\(24\) −8.73271 1.87688i −1.78256 0.383117i
\(25\) 1.62241 1.62241i 0.324483 0.324483i
\(26\) −0.182551 0.210321i −0.0358012 0.0412474i
\(27\) 4.80123 + 11.5912i 0.923996 + 2.23072i
\(28\) −1.98011 0.281338i −0.374206 0.0531678i
\(29\) 5.85615 + 2.42570i 1.08746 + 0.450441i 0.853120 0.521714i \(-0.174707\pi\)
0.234340 + 0.972155i \(0.424707\pi\)
\(30\) −6.57175 3.28275i −1.19983 0.599346i
\(31\) −5.52776 −0.992814 −0.496407 0.868090i \(-0.665348\pi\)
−0.496407 + 0.868090i \(0.665348\pi\)
\(32\) 4.15621 + 3.83744i 0.734721 + 0.678370i
\(33\) −19.6754 −3.42504
\(34\) 5.04443 + 2.51982i 0.865112 + 0.432145i
\(35\) −1.51965 0.629460i −0.256868 0.106398i
\(36\) 1.96173 13.8070i 0.326954 2.30117i
\(37\) −4.25158 10.2642i −0.698955 1.68743i −0.725909 0.687790i \(-0.758581\pi\)
0.0269541 0.999637i \(-0.491419\pi\)
\(38\) −2.87408 3.31130i −0.466237 0.537164i
\(39\) 0.439742 0.439742i 0.0704152 0.0704152i
\(40\) 2.52501 + 3.90753i 0.399239 + 0.617835i
\(41\) −2.48800 2.48800i −0.388561 0.388561i 0.485613 0.874174i \(-0.338596\pi\)
−0.874174 + 0.485613i \(0.838596\pi\)
\(42\) 0.314901 4.45495i 0.0485904 0.687413i
\(43\) −1.99108 + 0.824733i −0.303637 + 0.125771i −0.529300 0.848435i \(-0.677545\pi\)
0.225663 + 0.974206i \(0.427545\pi\)
\(44\) 10.7269 + 6.34050i 1.61715 + 0.955866i
\(45\) 4.38913 10.5963i 0.654293 1.57960i
\(46\) 1.63334 0.545137i 0.240823 0.0803761i
\(47\) 7.41348i 1.08137i 0.841226 + 0.540684i \(0.181834\pi\)
−0.841226 + 0.540684i \(0.818166\pi\)
\(48\) −7.89339 + 9.86205i −1.13931 + 1.42346i
\(49\) 1.00000i 0.142857i
\(50\) −1.02727 3.07792i −0.145279 0.435284i
\(51\) −4.81857 + 11.6331i −0.674735 + 1.62896i
\(52\) −0.381456 + 0.0980367i −0.0528984 + 0.0135952i
\(53\) 1.28857 0.533743i 0.176999 0.0733152i −0.292424 0.956289i \(-0.594462\pi\)
0.469423 + 0.882973i \(0.344462\pi\)
\(54\) 17.6989 + 1.25106i 2.40851 + 0.170247i
\(55\) 7.24647 + 7.24647i 0.977114 + 0.977114i
\(56\) −1.60732 + 2.32735i −0.214787 + 0.311005i
\(57\) 6.92330 6.92330i 0.917014 0.917014i
\(58\) 6.76981 5.87594i 0.888920 0.771549i
\(59\) 0.0193914 + 0.0468150i 0.00252455 + 0.00609480i 0.925137 0.379634i \(-0.123950\pi\)
−0.922612 + 0.385729i \(0.873950\pi\)
\(60\) −8.30636 + 6.23964i −1.07235 + 0.805534i
\(61\) −11.0396 4.57274i −1.41347 0.585479i −0.460261 0.887784i \(-0.652244\pi\)
−0.953211 + 0.302305i \(0.902244\pi\)
\(62\) −3.49340 + 6.99345i −0.443662 + 0.888169i
\(63\) 6.97285 0.878497
\(64\) 7.48156 2.83307i 0.935195 0.354134i
\(65\) −0.323916 −0.0401768
\(66\) −12.4343 + 24.8923i −1.53056 + 3.06403i
\(67\) 3.63165 + 1.50428i 0.443677 + 0.183777i 0.593326 0.804962i \(-0.297814\pi\)
−0.149649 + 0.988739i \(0.547814\pi\)
\(68\) 6.37590 4.78950i 0.773191 0.580812i
\(69\) 1.47145 + 3.55239i 0.177142 + 0.427658i
\(70\) −1.75674 + 1.52479i −0.209971 + 0.182247i
\(71\) −0.181485 + 0.181485i −0.0215383 + 0.0215383i −0.717794 0.696256i \(-0.754848\pi\)
0.696256 + 0.717794i \(0.254848\pi\)
\(72\) −16.2282 11.2076i −1.91252 1.32083i
\(73\) 2.49063 + 2.49063i 0.291506 + 0.291506i 0.837675 0.546169i \(-0.183914\pi\)
−0.546169 + 0.837675i \(0.683914\pi\)
\(74\) −15.6727 1.10784i −1.82191 0.128783i
\(75\) 6.69425 2.77285i 0.772985 0.320181i
\(76\) −6.00564 + 1.54349i −0.688894 + 0.177050i
\(77\) −2.38425 + 5.75610i −0.271711 + 0.655968i
\(78\) −0.278435 0.834247i −0.0315265 0.0944599i
\(79\) 4.65759i 0.524020i −0.965065 0.262010i \(-0.915615\pi\)
0.965065 0.262010i \(-0.0843854\pi\)
\(80\) 6.53936 0.725061i 0.731123 0.0810643i
\(81\) 18.7021i 2.07802i
\(82\) −4.72006 + 1.57535i −0.521243 + 0.173968i
\(83\) 2.03104 4.90335i 0.222935 0.538213i −0.772351 0.635196i \(-0.780919\pi\)
0.995286 + 0.0969831i \(0.0309193\pi\)
\(84\) −5.43717 3.21381i −0.593244 0.350656i
\(85\) 6.05917 2.50979i 0.657209 0.272225i
\(86\) −0.214901 + 3.04023i −0.0231734 + 0.327836i
\(87\) 14.1544 + 14.1544i 1.51751 + 1.51751i
\(88\) 14.8009 9.56418i 1.57778 1.01954i
\(89\) 5.52373 5.52373i 0.585514 0.585514i −0.350899 0.936413i \(-0.614124\pi\)
0.936413 + 0.350899i \(0.114124\pi\)
\(90\) −10.6321 12.2495i −1.12072 1.29121i
\(91\) −0.0753604 0.181936i −0.00789992 0.0190721i
\(92\) 0.342550 2.41094i 0.0357133 0.251358i
\(93\) −16.1278 6.68033i −1.67237 0.692718i
\(94\) 9.37917 + 4.68513i 0.967388 + 0.483234i
\(95\) −5.09973 −0.523221
\(96\) 7.48856 + 16.2189i 0.764298 + 1.65533i
\(97\) 14.4758 1.46980 0.734898 0.678178i \(-0.237230\pi\)
0.734898 + 0.678178i \(0.237230\pi\)
\(98\) −1.26515 0.631975i −0.127800 0.0638391i
\(99\) −40.1364 16.6251i −4.03386 1.67088i
\(100\) −4.54325 0.645512i −0.454325 0.0645512i
\(101\) −0.393131 0.949102i −0.0391180 0.0944392i 0.903113 0.429403i \(-0.141276\pi\)
−0.942231 + 0.334964i \(0.891276\pi\)
\(102\) 11.6724 + 13.4480i 1.15574 + 1.33155i
\(103\) −5.11797 + 5.11797i −0.504288 + 0.504288i −0.912768 0.408479i \(-0.866059\pi\)
0.408479 + 0.912768i \(0.366059\pi\)
\(104\) −0.117039 + 0.544556i −0.0114766 + 0.0533981i
\(105\) −3.67302 3.67302i −0.358450 0.358450i
\(106\) 0.139078 1.96755i 0.0135084 0.191105i
\(107\) 2.14692 0.889284i 0.207551 0.0859703i −0.276486 0.961018i \(-0.589170\pi\)
0.484037 + 0.875048i \(0.339170\pi\)
\(108\) 12.7680 21.6011i 1.22860 2.07857i
\(109\) 4.70861 11.3676i 0.451003 1.08882i −0.520939 0.853594i \(-0.674418\pi\)
0.971941 0.235223i \(-0.0755821\pi\)
\(110\) 13.7475 4.58829i 1.31077 0.437477i
\(111\) 35.0849i 3.33011i
\(112\) 1.92866 + 3.50432i 0.182241 + 0.331127i
\(113\) 2.11397i 0.198865i 0.995044 + 0.0994327i \(0.0317028\pi\)
−0.995044 + 0.0994327i \(0.968297\pi\)
\(114\) −4.38367 13.1344i −0.410569 1.23015i
\(115\) 0.766415 1.85029i 0.0714686 0.172540i
\(116\) −3.15560 12.2783i −0.292990 1.14001i
\(117\) 1.26861 0.525477i 0.117283 0.0485804i
\(118\) 0.0714830 + 0.00505283i 0.00658054 + 0.000465151i
\(119\) 2.81938 + 2.81938i 0.258452 + 0.258452i
\(120\) 2.64468 + 14.4521i 0.241425 + 1.31929i
\(121\) 19.6698 19.6698i 1.78817 1.78817i
\(122\) −12.7619 + 11.0769i −1.15541 + 1.00285i
\(123\) −4.25222 10.2658i −0.383410 0.925633i
\(124\) 6.64003 + 8.83936i 0.596292 + 0.793798i
\(125\) −11.0850 4.59156i −0.991473 0.410682i
\(126\) 4.40667 8.82172i 0.392577 0.785901i
\(127\) 3.19723 0.283708 0.141854 0.989888i \(-0.454694\pi\)
0.141854 + 0.989888i \(0.454694\pi\)
\(128\) 1.14389 11.2557i 0.101107 0.994876i
\(129\) −6.80587 −0.599223
\(130\) −0.204707 + 0.409803i −0.0179540 + 0.0359421i
\(131\) −9.81263 4.06453i −0.857334 0.355119i −0.0896695 0.995972i \(-0.528581\pi\)
−0.767664 + 0.640852i \(0.778581\pi\)
\(132\) 23.6344 + 31.4626i 2.05711 + 2.73847i
\(133\) −1.18647 2.86440i −0.102880 0.248375i
\(134\) 4.19825 3.64392i 0.362674 0.314787i
\(135\) 14.5924 14.5924i 1.25591 1.25591i
\(136\) −2.03004 11.0933i −0.174074 0.951244i
\(137\) 3.70378 + 3.70378i 0.316436 + 0.316436i 0.847396 0.530961i \(-0.178169\pi\)
−0.530961 + 0.847396i \(0.678169\pi\)
\(138\) 5.42423 + 0.383416i 0.461741 + 0.0326386i
\(139\) −16.6880 + 6.91241i −1.41546 + 0.586303i −0.953715 0.300711i \(-0.902776\pi\)
−0.461744 + 0.887013i \(0.652776\pi\)
\(140\) 0.818868 + 3.18617i 0.0692069 + 0.269281i
\(141\) −8.95925 + 21.6295i −0.754505 + 1.82154i
\(142\) 0.114912 + 0.344301i 0.00964322 + 0.0288931i
\(143\) 1.22692i 0.102600i
\(144\) −24.4351 + 13.4483i −2.03626 + 1.12069i
\(145\) 10.4262i 0.865848i
\(146\) 4.72503 1.57701i 0.391046 0.130514i
\(147\) 1.20851 2.91760i 0.0996760 0.240639i
\(148\) −11.3063 + 19.1282i −0.929374 + 1.57233i
\(149\) −17.6053 + 7.29236i −1.44228 + 0.597413i −0.960351 0.278795i \(-0.910065\pi\)
−0.481933 + 0.876208i \(0.660065\pi\)
\(150\) 0.722523 10.2216i 0.0589937 0.834591i
\(151\) 5.85547 + 5.85547i 0.476512 + 0.476512i 0.904014 0.427502i \(-0.140606\pi\)
−0.427502 + 0.904014i \(0.640606\pi\)
\(152\) −1.84267 + 8.57349i −0.149460 + 0.695402i
\(153\) −19.6592 + 19.6592i −1.58935 + 1.58935i
\(154\) 5.77555 + 6.65415i 0.465407 + 0.536207i
\(155\) 3.47950 + 8.40026i 0.279480 + 0.674725i
\(156\) −1.23141 0.174961i −0.0985919 0.0140081i
\(157\) 10.2112 + 4.22962i 0.814943 + 0.337560i 0.750924 0.660388i \(-0.229608\pi\)
0.0640187 + 0.997949i \(0.479608\pi\)
\(158\) −5.89256 2.94348i −0.468787 0.234171i
\(159\) 4.40455 0.349304
\(160\) 3.21540 8.73150i 0.254200 0.690286i
\(161\) 1.21758 0.0959584
\(162\) 23.6610 + 11.8193i 1.85899 + 0.928610i
\(163\) 18.8888 + 7.82400i 1.47949 + 0.612823i 0.969000 0.247062i \(-0.0794653\pi\)
0.510487 + 0.859886i \(0.329465\pi\)
\(164\) −0.989906 + 6.96717i −0.0772986 + 0.544044i
\(165\) 12.3849 + 29.8997i 0.964159 + 2.32769i
\(166\) −4.91992 5.66836i −0.381860 0.439950i
\(167\) −13.8476 + 13.8476i −1.07156 + 1.07156i −0.0743233 + 0.997234i \(0.523680\pi\)
−0.997234 + 0.0743233i \(0.976320\pi\)
\(168\) −7.50211 + 4.84780i −0.578801 + 0.374016i
\(169\) 9.16497 + 9.16497i 0.704997 + 0.704997i
\(170\) 0.653977 9.25189i 0.0501578 0.709588i
\(171\) 19.9731 8.27311i 1.52738 0.632661i
\(172\) 3.71054 + 2.19323i 0.282926 + 0.167232i
\(173\) 2.31711 5.59399i 0.176166 0.425303i −0.810990 0.585060i \(-0.801071\pi\)
0.987156 + 0.159757i \(0.0510710\pi\)
\(174\) 26.8527 8.96224i 2.03570 0.679426i
\(175\) 2.29444i 0.173443i
\(176\) −2.74637 24.7696i −0.207015 1.86708i
\(177\) 0.160022i 0.0120280i
\(178\) −3.49750 10.4792i −0.262149 0.785450i
\(179\) 7.14012 17.2378i 0.533677 1.28841i −0.395394 0.918511i \(-0.629392\pi\)
0.929072 0.369900i \(-0.120608\pi\)
\(180\) −22.2167 + 5.70984i −1.65594 + 0.425587i
\(181\) 1.10021 0.455724i 0.0817783 0.0338737i −0.341419 0.939911i \(-0.610908\pi\)
0.423198 + 0.906037i \(0.360908\pi\)
\(182\) −0.277803 0.0196367i −0.0205921 0.00145557i
\(183\) −26.6828 26.6828i −1.97245 1.97245i
\(184\) −2.83372 1.95703i −0.208904 0.144274i
\(185\) −12.9218 + 12.9218i −0.950032 + 0.950032i
\(186\) −18.6440 + 16.1822i −1.36704 + 1.18654i
\(187\) −9.50652 22.9508i −0.695186 1.67833i
\(188\) 11.8548 8.90519i 0.864600 0.649478i
\(189\) 11.5912 + 4.80123i 0.843135 + 0.349238i
\(190\) −3.22290 + 6.45193i −0.233814 + 0.468072i
\(191\) 24.8929 1.80119 0.900594 0.434661i \(-0.143132\pi\)
0.900594 + 0.434661i \(0.143132\pi\)
\(192\) 25.2519 + 0.775769i 1.82240 + 0.0559863i
\(193\) −0.323836 −0.0233102 −0.0116551 0.999932i \(-0.503710\pi\)
−0.0116551 + 0.999932i \(0.503710\pi\)
\(194\) 9.14834 18.3141i 0.656813 1.31487i
\(195\) −0.945056 0.391455i −0.0676768 0.0280327i
\(196\) −1.59909 + 1.20122i −0.114221 + 0.0858011i
\(197\) −0.677417 1.63543i −0.0482639 0.116519i 0.897909 0.440182i \(-0.145086\pi\)
−0.946173 + 0.323662i \(0.895086\pi\)
\(198\) −46.3984 + 40.2721i −3.29739 + 2.86201i
\(199\) −8.39216 + 8.39216i −0.594904 + 0.594904i −0.938952 0.344048i \(-0.888202\pi\)
0.344048 + 0.938952i \(0.388202\pi\)
\(200\) −3.68789 + 5.33995i −0.260773 + 0.377592i
\(201\) 8.77776 + 8.77776i 0.619136 + 0.619136i
\(202\) −1.44921 0.102438i −0.101966 0.00720754i
\(203\) 5.85615 2.42570i 0.411021 0.170251i
\(204\) 24.3904 6.26851i 1.70767 0.438883i
\(205\) −2.21480 + 5.34700i −0.154688 + 0.373451i
\(206\) 3.24058 + 9.70943i 0.225782 + 0.676488i
\(207\) 8.48997i 0.590094i
\(208\) 0.614980 + 0.492218i 0.0426412 + 0.0341292i
\(209\) 19.3166i 1.33616i
\(210\) −6.96818 + 2.32567i −0.480850 + 0.160487i
\(211\) −5.70616 + 13.7759i −0.392828 + 0.948371i 0.596493 + 0.802618i \(0.296560\pi\)
−0.989321 + 0.145753i \(0.953440\pi\)
\(212\) −2.40135 1.41939i −0.164925 0.0974844i
\(213\) −0.748827 + 0.310174i −0.0513088 + 0.0212528i
\(214\) 0.231721 3.27819i 0.0158401 0.224092i
\(215\) 2.50661 + 2.50661i 0.170950 + 0.170950i
\(216\) −19.2596 29.8048i −1.31045 2.02796i
\(217\) −3.90871 + 3.90871i −0.265341 + 0.265341i
\(218\) −11.4060 13.1411i −0.772511 0.890030i
\(219\) 4.25670 + 10.2766i 0.287641 + 0.694427i
\(220\) 2.88316 20.2923i 0.194383 1.36811i
\(221\) 0.725418 + 0.300478i 0.0487969 + 0.0202123i
\(222\) −44.3877 22.1728i −2.97911 1.48814i
\(223\) −0.469193 −0.0314195 −0.0157097 0.999877i \(-0.505001\pi\)
−0.0157097 + 0.999877i \(0.505001\pi\)
\(224\) 5.65236 0.225405i 0.377664 0.0150605i
\(225\) 15.9988 1.06659
\(226\) 2.67449 + 1.33597i 0.177904 + 0.0888677i
\(227\) −16.8893 6.99577i −1.12098 0.464326i −0.256275 0.966604i \(-0.582495\pi\)
−0.864706 + 0.502278i \(0.832495\pi\)
\(228\) −19.3874 2.75458i −1.28396 0.182427i
\(229\) 4.60075 + 11.1072i 0.304026 + 0.733984i 0.999875 + 0.0157961i \(0.00502825\pi\)
−0.695849 + 0.718188i \(0.744972\pi\)
\(230\) −1.85654 2.13897i −0.122417 0.141039i
\(231\) −13.9126 + 13.9126i −0.915380 + 0.915380i
\(232\) −17.5281 3.76725i −1.15078 0.247332i
\(233\) 6.25804 + 6.25804i 0.409978 + 0.409978i 0.881731 0.471753i \(-0.156379\pi\)
−0.471753 + 0.881731i \(0.656379\pi\)
\(234\) 0.136924 1.93708i 0.00895100 0.126631i
\(235\) 11.2659 4.66649i 0.734906 0.304408i
\(236\) 0.0515680 0.0872435i 0.00335679 0.00567907i
\(237\) 5.62874 13.5890i 0.365626 0.882699i
\(238\) 5.34873 1.78517i 0.346706 0.115715i
\(239\) 4.46457i 0.288789i 0.989520 + 0.144395i \(0.0461235\pi\)
−0.989520 + 0.144395i \(0.953877\pi\)
\(240\) 19.9555 + 5.78743i 1.28812 + 0.373577i
\(241\) 20.7152i 1.33438i −0.744885 0.667192i \(-0.767496\pi\)
0.744885 0.667192i \(-0.232504\pi\)
\(242\) −12.4545 37.3161i −0.800604 2.39877i
\(243\) −8.19800 + 19.7917i −0.525902 + 1.26964i
\(244\) 5.94870 + 23.1461i 0.380826 + 1.48178i
\(245\) −1.51965 + 0.629460i −0.0970870 + 0.0402147i
\(246\) −15.6750 1.10800i −0.999404 0.0706437i
\(247\) −0.431725 0.431725i −0.0274700 0.0274700i
\(248\) 15.3795 2.81439i 0.976597 0.178714i
\(249\) 11.8515 11.8515i 0.751057 0.751057i
\(250\) −12.8145 + 11.1225i −0.810458 + 0.703446i
\(251\) 5.88475 + 14.2071i 0.371442 + 0.896741i 0.993507 + 0.113775i \(0.0362943\pi\)
−0.622064 + 0.782966i \(0.713706\pi\)
\(252\) −8.37590 11.1502i −0.527632 0.702397i
\(253\) −7.00848 2.90301i −0.440619 0.182511i
\(254\) 2.02057 4.04498i 0.126782 0.253805i
\(255\) 20.7113 1.29699
\(256\) −13.5173 8.56054i −0.844831 0.535034i
\(257\) −16.7204 −1.04299 −0.521495 0.853254i \(-0.674626\pi\)
−0.521495 + 0.853254i \(0.674626\pi\)
\(258\) −4.30114 + 8.61045i −0.267777 + 0.536063i
\(259\) −10.2642 4.25158i −0.637788 0.264180i
\(260\) 0.389093 + 0.517970i 0.0241305 + 0.0321231i
\(261\) 16.9140 + 40.8341i 1.04695 + 2.52757i
\(262\) −11.3436 + 9.84579i −0.700808 + 0.608275i
\(263\) 1.06306 1.06306i 0.0655513 0.0655513i −0.673571 0.739122i \(-0.735240\pi\)
0.739122 + 0.673571i \(0.235240\pi\)
\(264\) 54.7413 10.0175i 3.36909 0.616532i
\(265\) −1.62221 1.62221i −0.0996513 0.0996513i
\(266\) −4.37372 0.309160i −0.268170 0.0189558i
\(267\) 22.7915 9.44054i 1.39482 0.577752i
\(268\) −1.95692 7.61430i −0.119538 0.465117i
\(269\) 0.585066 1.41247i 0.0356721 0.0861200i −0.905039 0.425328i \(-0.860159\pi\)
0.940712 + 0.339208i \(0.110159\pi\)
\(270\) −9.23955 27.6836i −0.562301 1.68477i
\(271\) 16.2629i 0.987900i 0.869490 + 0.493950i \(0.164447\pi\)
−0.869490 + 0.493950i \(0.835553\pi\)
\(272\) −15.3177 4.44239i −0.928770 0.269360i
\(273\) 0.621890i 0.0376385i
\(274\) 7.02655 2.34515i 0.424489 0.141676i
\(275\) −5.47053 + 13.2070i −0.329885 + 0.796413i
\(276\) 3.91306 6.62016i 0.235538 0.398487i
\(277\) 15.9466 6.60532i 0.958141 0.396875i 0.151856 0.988403i \(-0.451475\pi\)
0.806285 + 0.591527i \(0.201475\pi\)
\(278\) −1.80117 + 25.4813i −0.108027 + 1.52827i
\(279\) −27.2549 27.2549i −1.63171 1.63171i
\(280\) 4.54849 + 0.977589i 0.271825 + 0.0584221i
\(281\) −3.53270 + 3.53270i −0.210743 + 0.210743i −0.804583 0.593840i \(-0.797611\pi\)
0.593840 + 0.804583i \(0.297611\pi\)
\(282\) 21.7026 + 25.0041i 1.29237 + 1.48897i
\(283\) 8.09216 + 19.5362i 0.481029 + 1.16131i 0.959121 + 0.282997i \(0.0913287\pi\)
−0.478092 + 0.878310i \(0.658671\pi\)
\(284\) 0.508214 + 0.0722078i 0.0301570 + 0.00428475i
\(285\) −14.8790 6.16306i −0.881353 0.365068i
\(286\) 1.55224 + 0.775383i 0.0917859 + 0.0458494i
\(287\) −3.51857 −0.207695
\(288\) 1.57172 + 39.4131i 0.0926143 + 2.32244i
\(289\) 1.10215 0.0648323
\(290\) −13.1907 6.58909i −0.774585 0.386925i
\(291\) 42.2346 + 17.4941i 2.47583 + 1.02552i
\(292\) 0.990949 6.97451i 0.0579909 0.408152i
\(293\) −10.6347 25.6745i −0.621286 1.49992i −0.850194 0.526470i \(-0.823515\pi\)
0.228907 0.973448i \(-0.426485\pi\)
\(294\) −2.92745 3.37279i −0.170733 0.196705i
\(295\) 0.0589364 0.0589364i 0.00343141 0.00343141i
\(296\) 17.0547 + 26.3927i 0.991287 + 1.53405i
\(297\) −55.2726 55.2726i −3.20724 3.20724i
\(298\) −1.90017 + 26.8820i −0.110074 + 1.55723i
\(299\) 0.221521 0.0917570i 0.0128109 0.00530644i
\(300\) −12.4753 7.37390i −0.720260 0.425732i
\(301\) −0.824733 + 1.99108i −0.0475368 + 0.114764i
\(302\) 11.1086 3.70755i 0.639227 0.213346i
\(303\) 3.24420i 0.186374i
\(304\) 9.68225 + 7.74948i 0.555315 + 0.444463i
\(305\) 19.6547i 1.12542i
\(306\) 12.4477 + 37.2959i 0.711589 + 2.13206i
\(307\) −5.57127 + 13.4502i −0.317969 + 0.767646i 0.681392 + 0.731918i \(0.261375\pi\)
−0.999362 + 0.0357274i \(0.988625\pi\)
\(308\) 12.0685 3.10169i 0.687667 0.176735i
\(309\) −21.1173 + 8.74706i −1.20132 + 0.497603i
\(310\) 12.8266 + 0.906656i 0.728500 + 0.0514946i
\(311\) 4.27224 + 4.27224i 0.242257 + 0.242257i 0.817783 0.575527i \(-0.195203\pi\)
−0.575527 + 0.817783i \(0.695203\pi\)
\(312\) −0.999574 + 1.44735i −0.0565897 + 0.0819402i
\(313\) −11.3681 + 11.3681i −0.642563 + 0.642563i −0.951185 0.308622i \(-0.900132\pi\)
0.308622 + 0.951185i \(0.400132\pi\)
\(314\) 11.8043 10.2457i 0.666157 0.578199i
\(315\) −4.38913 10.5963i −0.247300 0.597034i
\(316\) −7.44790 + 5.59477i −0.418977 + 0.314731i
\(317\) −8.38560 3.47343i −0.470982 0.195087i 0.134552 0.990907i \(-0.457040\pi\)
−0.605534 + 0.795819i \(0.707040\pi\)
\(318\) 2.78357 5.57243i 0.156095 0.312486i
\(319\) −39.4921 −2.21113
\(320\) −9.01462 9.58605i −0.503933 0.535877i
\(321\) 7.33856 0.409598
\(322\) 0.769477 1.54042i 0.0428813 0.0858441i
\(323\) 11.4210 + 4.73072i 0.635480 + 0.263224i
\(324\) 29.9064 22.4653i 1.66146 1.24807i
\(325\) −0.172910 0.417442i −0.00959132 0.0231555i
\(326\) 21.8358 18.9526i 1.20937 1.04969i
\(327\) 27.4756 27.4756i 1.51941 1.51941i
\(328\) 8.18892 + 5.65545i 0.452158 + 0.312270i
\(329\) 5.24212 + 5.24212i 0.289008 + 0.289008i
\(330\) 45.6545 + 3.22713i 2.51320 + 0.177648i
\(331\) −15.5741 + 6.45099i −0.856028 + 0.354579i −0.767153 0.641464i \(-0.778327\pi\)
−0.0888754 + 0.996043i \(0.528327\pi\)
\(332\) −10.2806 + 2.64218i −0.564221 + 0.145009i
\(333\) 29.6456 71.5709i 1.62457 3.92206i
\(334\) 8.76796 + 26.2706i 0.479762 + 1.43746i
\(335\) 6.46573i 0.353261i
\(336\) 1.39205 + 12.5550i 0.0759427 + 0.684931i
\(337\) 18.7902i 1.02357i 0.859114 + 0.511784i \(0.171015\pi\)
−0.859114 + 0.511784i \(0.828985\pi\)
\(338\) 17.3871 5.80304i 0.945733 0.315644i
\(339\) −2.55475 + 6.16770i −0.138755 + 0.334984i
\(340\) −11.2917 6.67434i −0.612381 0.361967i
\(341\) 31.8183 13.1796i 1.72306 0.713714i
\(342\) 2.15573 30.4973i 0.116568 1.64911i
\(343\) −0.707107 0.707107i −0.0381802 0.0381802i
\(344\) 5.11974 3.30833i 0.276038 0.178373i
\(345\) 4.47218 4.47218i 0.240774 0.240774i
\(346\) −5.61289 6.46675i −0.301751 0.347655i
\(347\) −8.53942 20.6160i −0.458420 1.10672i −0.969037 0.246916i \(-0.920583\pi\)
0.510617 0.859808i \(-0.329417\pi\)
\(348\) 5.63163 39.6366i 0.301887 2.12475i
\(349\) 2.92644 + 1.21217i 0.156649 + 0.0648861i 0.459630 0.888110i \(-0.347982\pi\)
−0.302981 + 0.952997i \(0.597982\pi\)
\(350\) −2.90281 1.45003i −0.155162 0.0775073i
\(351\) 2.47068 0.131875
\(352\) −33.0730 12.1792i −1.76280 0.649154i
\(353\) −0.929161 −0.0494542 −0.0247271 0.999694i \(-0.507872\pi\)
−0.0247271 + 0.999694i \(0.507872\pi\)
\(354\) 0.202452 + 0.101130i 0.0107602 + 0.00537499i
\(355\) 0.390032 + 0.161557i 0.0207008 + 0.00857454i
\(356\) −15.4681 2.19773i −0.819809 0.116480i
\(357\) 4.81857 + 11.6331i 0.255026 + 0.615687i
\(358\) −17.2960 19.9272i −0.914122 1.05318i
\(359\) −17.9614 + 17.9614i −0.947968 + 0.947968i −0.998712 0.0507435i \(-0.983841\pi\)
0.0507435 + 0.998712i \(0.483841\pi\)
\(360\) −6.81659 + 31.7160i −0.359266 + 1.67158i
\(361\) 6.63795 + 6.63795i 0.349366 + 0.349366i
\(362\) 0.118748 1.67994i 0.00624127 0.0882959i
\(363\) 81.1597 33.6175i 4.25978 1.76446i
\(364\) −0.200408 + 0.339053i −0.0105042 + 0.0177712i
\(365\) 2.21713 5.35263i 0.116050 0.280170i
\(366\) −50.6207 + 16.8949i −2.64598 + 0.883112i
\(367\) 10.8302i 0.565330i −0.959219 0.282665i \(-0.908782\pi\)
0.959219 0.282665i \(-0.0912184\pi\)
\(368\) −4.26677 + 2.34829i −0.222421 + 0.122413i
\(369\) 24.5345i 1.27721i
\(370\) 8.18180 + 24.5143i 0.425352 + 1.27444i
\(371\) 0.533743 1.28857i 0.0277105 0.0668992i
\(372\) 8.69048 + 33.8142i 0.450580 + 1.75319i
\(373\) −7.44891 + 3.08544i −0.385690 + 0.159758i −0.567099 0.823650i \(-0.691934\pi\)
0.181409 + 0.983408i \(0.441934\pi\)
\(374\) −35.0441 2.47712i −1.81209 0.128089i
\(375\) −26.7926 26.7926i −1.38357 1.38357i
\(376\) −3.77448 20.6260i −0.194654 1.06370i
\(377\) 0.882644 0.882644i 0.0454585 0.0454585i
\(378\) 13.3996 11.6303i 0.689202 0.598201i
\(379\) −3.80670 9.19018i −0.195537 0.472068i 0.795451 0.606018i \(-0.207234\pi\)
−0.990988 + 0.133950i \(0.957234\pi\)
\(380\) 6.12588 + 8.15491i 0.314251 + 0.418338i
\(381\) 9.32823 + 3.86388i 0.477900 + 0.197953i
\(382\) 15.7317 31.4933i 0.804903 1.61134i
\(383\) −11.7333 −0.599542 −0.299771 0.954011i \(-0.596910\pi\)
−0.299771 + 0.954011i \(0.596910\pi\)
\(384\) 16.9401 31.4573i 0.864469 1.60530i
\(385\) 10.2481 0.522289
\(386\) −0.204656 + 0.409702i −0.0104167 + 0.0208533i
\(387\) −13.8835 5.75074i −0.705739 0.292327i
\(388\) −17.3886 23.1481i −0.882771 1.17517i
\(389\) 13.5884 + 32.8053i 0.688960 + 1.66330i 0.746866 + 0.664974i \(0.231557\pi\)
−0.0579065 + 0.998322i \(0.518443\pi\)
\(390\) −1.09250 + 0.948249i −0.0553209 + 0.0480164i
\(391\) −3.43281 + 3.43281i −0.173605 + 0.173605i
\(392\) 0.509137 + 2.78223i 0.0257153 + 0.140524i
\(393\) −23.7173 23.7173i −1.19638 1.19638i
\(394\) −2.49717 0.176515i −0.125806 0.00889269i
\(395\) −7.07792 + 2.93177i −0.356129 + 0.147513i
\(396\) 21.6276 + 84.1519i 1.08683 + 4.22879i
\(397\) −15.0713 + 36.3853i −0.756406 + 1.82613i −0.237244 + 0.971450i \(0.576244\pi\)
−0.519162 + 0.854676i \(0.673756\pi\)
\(398\) 5.31372 + 15.9210i 0.266353 + 0.798047i
\(399\) 9.79103i 0.490165i
\(400\) 4.42520 + 8.04046i 0.221260 + 0.402023i
\(401\) 20.5271i 1.02507i −0.858665 0.512537i \(-0.828706\pi\)
0.858665 0.512537i \(-0.171294\pi\)
\(402\) 16.6525 5.55787i 0.830552 0.277202i
\(403\) −0.416574 + 1.00570i −0.0207510 + 0.0500974i
\(404\) −1.04546 + 1.76873i −0.0520137 + 0.0879975i
\(405\) 28.4207 11.7723i 1.41224 0.584968i
\(406\) 0.632065 8.94190i 0.0313689 0.443779i
\(407\) 48.9450 + 48.9450i 2.42611 + 2.42611i
\(408\) 7.48353 34.8191i 0.370490 1.72380i
\(409\) 11.0718 11.0718i 0.547467 0.547467i −0.378240 0.925707i \(-0.623471\pi\)
0.925707 + 0.378240i \(0.123471\pi\)
\(410\) 5.36506 + 6.18122i 0.264962 + 0.305269i
\(411\) 6.33009 + 15.2822i 0.312241 + 0.753815i
\(412\) 14.3319 + 2.03629i 0.706080 + 0.100321i
\(413\) 0.0468150 + 0.0193914i 0.00230362 + 0.000954190i
\(414\) 10.7411 + 5.36545i 0.527896 + 0.263697i
\(415\) −8.72984 −0.428531
\(416\) 1.01138 0.466974i 0.0495871 0.0228953i
\(417\) −57.0426 −2.79339
\(418\) 24.4385 + 12.2076i 1.19532 + 0.597094i
\(419\) −8.28075 3.43000i −0.404541 0.167566i 0.171129 0.985249i \(-0.445259\pi\)
−0.575670 + 0.817682i \(0.695259\pi\)
\(420\) −1.46139 + 10.2856i −0.0713085 + 0.501884i
\(421\) −2.04223 4.93038i −0.0995323 0.240292i 0.866268 0.499580i \(-0.166512\pi\)
−0.965800 + 0.259288i \(0.916512\pi\)
\(422\) 13.8224 + 15.9252i 0.672865 + 0.775225i
\(423\) −36.5526 + 36.5526i −1.77725 + 1.77725i
\(424\) −3.31334 + 2.14105i −0.160910 + 0.103979i
\(425\) 6.46891 + 6.46891i 0.313788 + 0.313788i
\(426\) −0.0808223 + 1.14340i −0.00391585 + 0.0553980i
\(427\) −11.0396 + 4.57274i −0.534242 + 0.221290i
\(428\) −4.00096 2.36489i −0.193394 0.114311i
\(429\) −1.48274 + 3.57966i −0.0715875 + 0.172828i
\(430\) 4.75536 1.58713i 0.229324 0.0765381i
\(431\) 5.26383i 0.253550i 0.991932 + 0.126775i \(0.0404625\pi\)
−0.991932 + 0.126775i \(0.959537\pi\)
\(432\) −49.8792 + 5.53042i −2.39981 + 0.266083i
\(433\) 27.8109i 1.33651i −0.743933 0.668254i \(-0.767042\pi\)
0.743933 0.668254i \(-0.232958\pi\)
\(434\) 2.47491 + 7.41532i 0.118799 + 0.355947i
\(435\) 12.6001 30.4194i 0.604130 1.45850i
\(436\) −23.8338 + 6.12545i −1.14143 + 0.293356i
\(437\) 3.48763 1.44462i 0.166836 0.0691056i
\(438\) 15.6916 + 1.10917i 0.749771 + 0.0529982i
\(439\) −8.37999 8.37999i −0.399955 0.399955i 0.478262 0.878217i \(-0.341267\pi\)
−0.878217 + 0.478262i \(0.841267\pi\)
\(440\) −23.8508 16.4719i −1.13704 0.785265i
\(441\) 4.93055 4.93055i 0.234788 0.234788i
\(442\) 0.838596 0.727869i 0.0398879 0.0346212i
\(443\) −9.51351 22.9676i −0.452000 1.09123i −0.971560 0.236792i \(-0.923904\pi\)
0.519560 0.854434i \(-0.326096\pi\)
\(444\) −56.1038 + 42.1445i −2.66257 + 2.00009i
\(445\) −11.8711 4.91718i −0.562745 0.233097i
\(446\) −0.296518 + 0.593600i −0.0140405 + 0.0281078i
\(447\) −60.1780 −2.84632
\(448\) 3.28698 7.29354i 0.155295 0.344588i
\(449\) −0.323826 −0.0152823 −0.00764115 0.999971i \(-0.502432\pi\)
−0.00764115 + 0.999971i \(0.502432\pi\)
\(450\) 10.1108 20.2409i 0.476629 0.954165i
\(451\) 20.2532 + 8.38916i 0.953687 + 0.395030i
\(452\) 3.38042 2.53933i 0.159001 0.119440i
\(453\) 10.0075 + 24.1603i 0.470194 + 1.13515i
\(454\) −19.5243 + 16.9464i −0.916321 + 0.795332i
\(455\) −0.229043 + 0.229043i −0.0107377 + 0.0107377i
\(456\) −15.7373 + 22.7871i −0.736966 + 1.06710i
\(457\) −24.7992 24.7992i −1.16006 1.16006i −0.984462 0.175595i \(-0.943815\pi\)
−0.175595 0.984462i \(-0.556185\pi\)
\(458\) 16.9598 + 1.19882i 0.792481 + 0.0560172i
\(459\) −46.2165 + 19.1435i −2.15720 + 0.893542i
\(460\) −3.87940 + 0.997033i −0.180878 + 0.0464869i
\(461\) −15.3222 + 36.9910i −0.713624 + 1.72284i −0.0228829 + 0.999738i \(0.507284\pi\)
−0.690741 + 0.723102i \(0.742716\pi\)
\(462\) 8.80912 + 26.3939i 0.409837 + 1.22796i
\(463\) 5.19844i 0.241592i 0.992677 + 0.120796i \(0.0385447\pi\)
−0.992677 + 0.120796i \(0.961455\pi\)
\(464\) −15.8435 + 19.7950i −0.735516 + 0.918958i
\(465\) 28.7136i 1.33156i
\(466\) 11.8723 3.96245i 0.549974 0.183557i
\(467\) 8.05999 19.4585i 0.372972 0.900433i −0.620272 0.784387i \(-0.712978\pi\)
0.993244 0.116047i \(-0.0370222\pi\)
\(468\) −2.36416 1.39741i −0.109284 0.0645955i
\(469\) 3.63165 1.50428i 0.167694 0.0694612i
\(470\) 1.21595 17.2022i 0.0560876 0.793477i
\(471\) 24.6806 + 24.6806i 1.13722 + 1.13722i
\(472\) −0.0777866 0.120377i −0.00358042 0.00554080i
\(473\) 9.49449 9.49449i 0.436557 0.436557i
\(474\) −13.6349 15.7091i −0.626271 0.721542i
\(475\) −2.72229 6.57220i −0.124907 0.301553i
\(476\) 1.12175 7.89513i 0.0514154 0.361873i
\(477\) 8.98500 + 3.72171i 0.411395 + 0.170405i
\(478\) 5.64836 + 2.82150i 0.258350 + 0.129052i
\(479\) 38.5055 1.75936 0.879681 0.475565i \(-0.157756\pi\)
0.879681 + 0.475565i \(0.157756\pi\)
\(480\) 19.9333 21.5892i 0.909827 0.985406i
\(481\) −2.18783 −0.0997566
\(482\) −26.2079 13.0915i −1.19374 0.596301i
\(483\) 3.55239 + 1.47145i 0.161639 + 0.0669532i
\(484\) −55.0815 7.82606i −2.50370 0.355730i
\(485\) −9.11194 21.9982i −0.413752 0.998886i
\(486\) 19.8586 + 22.8796i 0.900804 + 1.03784i
\(487\) 19.8099 19.8099i 0.897674 0.897674i −0.0975559 0.995230i \(-0.531102\pi\)
0.995230 + 0.0975559i \(0.0311025\pi\)
\(488\) 33.0427 + 7.10174i 1.49577 + 0.321480i
\(489\) 45.6546 + 45.6546i 2.06457 + 2.06457i
\(490\) −0.164019 + 2.32039i −0.00740961 + 0.104825i
\(491\) −4.05018 + 1.67764i −0.182782 + 0.0757108i −0.472197 0.881493i \(-0.656539\pi\)
0.289416 + 0.957204i \(0.406539\pi\)
\(492\) −11.3080 + 19.1311i −0.509805 + 0.862495i
\(493\) −9.67177 + 23.3497i −0.435595 + 1.05162i
\(494\) −0.819037 + 0.273358i −0.0368502 + 0.0122990i
\(495\) 71.4582i 3.21181i
\(496\) 6.15881 21.2360i 0.276539 0.953523i
\(497\) 0.256659i 0.0115127i
\(498\) −7.50408 22.4838i −0.336266 1.00752i
\(499\) 8.21812 19.8403i 0.367893 0.888173i −0.626202 0.779661i \(-0.715391\pi\)
0.994095 0.108512i \(-0.0346086\pi\)
\(500\) 5.97318 + 23.2413i 0.267129 + 1.03938i
\(501\) −57.1365 + 23.6667i −2.55267 + 1.05735i
\(502\) 21.6931 + 1.53339i 0.968210 + 0.0684387i
\(503\) −23.7800 23.7800i −1.06030 1.06030i −0.998062 0.0622340i \(-0.980177\pi\)
−0.0622340 0.998062i \(-0.519823\pi\)
\(504\) −19.4001 + 3.55014i −0.864147 + 0.158136i
\(505\) −1.19484 + 1.19484i −0.0531699 + 0.0531699i
\(506\) −8.10193 + 7.03216i −0.360175 + 0.312618i
\(507\) 15.6637 + 37.8156i 0.695651 + 1.67945i
\(508\) −3.84057 5.11265i −0.170398 0.226837i
\(509\) 7.80811 + 3.23423i 0.346089 + 0.143355i 0.548955 0.835852i \(-0.315026\pi\)
−0.202867 + 0.979206i \(0.565026\pi\)
\(510\) 13.0890 26.2029i 0.579592 1.16029i
\(511\) 3.52228 0.155816
\(512\) −19.3730 + 11.6914i −0.856172 + 0.516691i
\(513\) 38.8983 1.71740
\(514\) −10.5669 + 21.1539i −0.466085 + 0.933057i
\(515\) 10.9991 + 4.55597i 0.484677 + 0.200760i
\(516\) 8.17532 + 10.8832i 0.359898 + 0.479105i
\(517\) −17.6756 42.6727i −0.777373 1.87674i
\(518\) −11.8656 + 10.2989i −0.521345 + 0.452508i
\(519\) 13.5208 13.5208i 0.593495 0.593495i
\(520\) 0.901207 0.164918i 0.0395205 0.00723212i
\(521\) 14.9711 + 14.9711i 0.655895 + 0.655895i 0.954406 0.298511i \(-0.0964899\pi\)
−0.298511 + 0.954406i \(0.596490\pi\)
\(522\) 62.3506 + 4.40730i 2.72901 + 0.192902i
\(523\) −22.9292 + 9.49757i −1.00262 + 0.415300i −0.822758 0.568392i \(-0.807566\pi\)
−0.179864 + 0.983691i \(0.557566\pi\)
\(524\) 5.28756 + 20.5736i 0.230988 + 0.898763i
\(525\) 2.77285 6.69425i 0.121017 0.292161i
\(526\) −0.673107 2.01677i −0.0293489 0.0879352i
\(527\) 22.0403i 0.960092i
\(528\) 21.9215 75.5868i 0.954011 3.28949i
\(529\) 21.5175i 0.935544i
\(530\) −3.07753 + 1.02714i −0.133679 + 0.0446162i
\(531\) −0.135214 + 0.326434i −0.00586777 + 0.0141660i
\(532\) −3.15522 + 5.33804i −0.136796 + 0.231433i
\(533\) −0.640155 + 0.265161i −0.0277282 + 0.0114854i
\(534\) 2.45993 34.8009i 0.106451 1.50598i
\(535\) −2.70280 2.70280i −0.116852 0.116852i
\(536\) −10.8700 2.33624i −0.469511 0.100910i
\(537\) 41.6639 41.6639i 1.79793 1.79793i
\(538\) −1.41725 1.63284i −0.0611018 0.0703969i
\(539\) 2.38425 + 5.75610i 0.102697 + 0.247933i
\(540\) −40.8631 5.80589i −1.75847 0.249846i
\(541\) 12.9919 + 5.38144i 0.558567 + 0.231366i 0.644063 0.764973i \(-0.277247\pi\)
−0.0854960 + 0.996339i \(0.527247\pi\)
\(542\) 20.5750 + 10.2777i 0.883773 + 0.441467i
\(543\) 3.76073 0.161388
\(544\) −15.3007 + 16.5717i −0.656011 + 0.710505i
\(545\) −20.2386 −0.866928
\(546\) −0.786785 0.393019i −0.0336713 0.0168196i
\(547\) 4.33631 + 1.79616i 0.185407 + 0.0767983i 0.473456 0.880818i \(-0.343006\pi\)
−0.288048 + 0.957616i \(0.593006\pi\)
\(548\) 1.47363 10.3717i 0.0629504 0.443058i
\(549\) −31.8850 76.9773i −1.36082 3.28531i
\(550\) 13.2516 + 15.2675i 0.565052 + 0.651010i
\(551\) 13.8963 13.8963i 0.592004 0.592004i
\(552\) −5.90256 9.13439i −0.251230 0.388785i
\(553\) −3.29342 3.29342i −0.140050 0.140050i
\(554\) 1.72115 24.3493i 0.0731247 1.03450i
\(555\) −53.3168 + 22.0845i −2.26317 + 0.937437i
\(556\) 31.0995 + 18.3823i 1.31891 + 0.779584i
\(557\) −17.1893 + 41.4987i −0.728334 + 1.75835i −0.0802647 + 0.996774i \(0.525577\pi\)
−0.648070 + 0.761581i \(0.724423\pi\)
\(558\) −51.7060 + 17.2572i −2.18889 + 0.730554i
\(559\) 0.424402i 0.0179503i
\(560\) 4.11133 5.13672i 0.173735 0.217066i
\(561\) 78.4498i 3.31215i
\(562\) 2.23682 + 6.70197i 0.0943546 + 0.282706i
\(563\) 16.6307 40.1500i 0.700900 1.69212i −0.0206760 0.999786i \(-0.506582\pi\)
0.721576 0.692335i \(-0.243418\pi\)
\(564\) 45.3495 11.6551i 1.90956 0.490769i
\(565\) 3.21249 1.33066i 0.135151 0.0559812i
\(566\) 29.8303 + 2.10858i 1.25386 + 0.0886302i
\(567\) 13.2244 + 13.2244i 0.555373 + 0.555373i
\(568\) 0.412532 0.597334i 0.0173095 0.0250636i
\(569\) −10.1679 + 10.1679i −0.426259 + 0.426259i −0.887352 0.461093i \(-0.847458\pi\)
0.461093 + 0.887352i \(0.347458\pi\)
\(570\) −17.2003 + 14.9292i −0.720443 + 0.625316i
\(571\) −9.05090 21.8508i −0.378769 0.914428i −0.992197 0.124678i \(-0.960210\pi\)
0.613429 0.789750i \(-0.289790\pi\)
\(572\) 1.96195 1.47380i 0.0820334 0.0616225i
\(573\) 72.6275 + 30.0833i 3.03406 + 1.25675i
\(574\) −2.22365 + 4.45152i −0.0928132 + 0.185803i
\(575\) 2.79365 0.116503
\(576\) 50.8568 + 22.9196i 2.11903 + 0.954984i
\(577\) 23.0941 0.961418 0.480709 0.876880i \(-0.340379\pi\)
0.480709 + 0.876880i \(0.340379\pi\)
\(578\) 0.696531 1.39439i 0.0289719 0.0579988i
\(579\) −0.944823 0.391359i −0.0392655 0.0162643i
\(580\) −16.6724 + 12.5241i −0.692283 + 0.520035i
\(581\) −2.03104 4.90335i −0.0842616 0.203425i
\(582\) 48.8239 42.3773i 2.02382 1.75659i
\(583\) −6.14455 + 6.14455i −0.254481 + 0.254481i
\(584\) −8.19755 5.66141i −0.339217 0.234271i
\(585\) −1.59708 1.59708i −0.0660313 0.0660313i
\(586\) −39.2030 2.77109i −1.61946 0.114473i
\(587\) −19.9230 + 8.25238i −0.822310 + 0.340612i −0.753854 0.657042i \(-0.771807\pi\)
−0.0684564 + 0.997654i \(0.521807\pi\)
\(588\) −6.11717 + 1.57215i −0.252268 + 0.0648345i
\(589\) −6.55854 + 15.8337i −0.270240 + 0.652417i
\(590\) −0.0373172 0.111810i −0.00153632 0.00460314i
\(591\) 5.59018i 0.229949i
\(592\) 44.1690 4.89730i 1.81533 0.201278i
\(593\) 6.86424i 0.281880i −0.990018 0.140940i \(-0.954987\pi\)
0.990018 0.140940i \(-0.0450125\pi\)
\(594\) −104.859 + 34.9974i −4.30242 + 1.43596i
\(595\) 2.50979 6.05917i 0.102891 0.248402i
\(596\) 32.8089 + 19.3927i 1.34390 + 0.794357i
\(597\) −34.6269 + 14.3429i −1.41719 + 0.587017i
\(598\) 0.0239092 0.338246i 0.000977718 0.0138319i
\(599\) 1.28148 + 1.28148i 0.0523600 + 0.0523600i 0.732802 0.680442i \(-0.238212\pi\)
−0.680442 + 0.732802i \(0.738212\pi\)
\(600\) −17.2131 + 11.1230i −0.702724 + 0.454094i
\(601\) −7.61024 + 7.61024i −0.310428 + 0.310428i −0.845075 0.534647i \(-0.820445\pi\)
0.534647 + 0.845075i \(0.320445\pi\)
\(602\) 1.99781 + 2.30173i 0.0814246 + 0.0938113i
\(603\) 10.4891 + 25.3230i 0.427150 + 1.03123i
\(604\) 2.32973 16.3971i 0.0947952 0.667189i
\(605\) −42.2726 17.5099i −1.71863 0.711879i
\(606\) −4.10440 2.05025i −0.166730 0.0832857i
\(607\) −22.7630 −0.923922 −0.461961 0.886900i \(-0.652854\pi\)
−0.461961 + 0.886900i \(0.652854\pi\)
\(608\) 15.9232 7.35203i 0.645771 0.298164i
\(609\) 20.0174 0.811144
\(610\) 24.8661 + 12.4212i 1.00680 + 0.502921i
\(611\) 1.34878 + 0.558683i 0.0545658 + 0.0226019i
\(612\) 55.0516 + 7.82181i 2.22533 + 0.316178i
\(613\) −7.16049 17.2869i −0.289209 0.698213i 0.710777 0.703417i \(-0.248343\pi\)
−0.999986 + 0.00520419i \(0.998343\pi\)
\(614\) 13.4957 + 15.5487i 0.544642 + 0.627495i
\(615\) −12.9238 + 12.9238i −0.521137 + 0.521137i
\(616\) 3.70289 17.2287i 0.149194 0.694163i
\(617\) 23.7607 + 23.7607i 0.956570 + 0.956570i 0.999095 0.0425258i \(-0.0135405\pi\)
−0.0425258 + 0.999095i \(0.513540\pi\)
\(618\) −2.27923 + 32.2445i −0.0916839 + 1.29706i
\(619\) 23.1416 9.58555i 0.930138 0.385276i 0.134407 0.990926i \(-0.457087\pi\)
0.795731 + 0.605650i \(0.207087\pi\)
\(620\) 9.25312 15.6546i 0.371614 0.628702i
\(621\) −5.84585 + 14.1131i −0.234586 + 0.566341i
\(622\) 8.10498 2.70508i 0.324980 0.108464i
\(623\) 7.81174i 0.312971i
\(624\) 1.19941 + 2.17930i 0.0480150 + 0.0872419i
\(625\) 8.26334i 0.330534i
\(626\) 7.19802 + 21.5667i 0.287691 + 0.861980i
\(627\) −23.3443 + 56.3581i −0.932282 + 2.25073i
\(628\) −5.50233 21.4093i −0.219567 0.854324i
\(629\) 40.9256 16.9519i 1.63181 0.675918i
\(630\) −16.1798 1.14368i −0.644617 0.0455653i
\(631\) 9.75860 + 9.75860i 0.388484 + 0.388484i 0.874146 0.485663i \(-0.161422\pi\)
−0.485663 + 0.874146i \(0.661422\pi\)
\(632\) 2.37135 + 12.9585i 0.0943274 + 0.515460i
\(633\) −33.2965 + 33.2965i −1.32342 + 1.32342i
\(634\) −9.69390 + 8.41393i −0.384994 + 0.334160i
\(635\) −2.01253 4.85868i −0.0798648 0.192811i
\(636\) −5.29082 7.04327i −0.209795 0.279284i
\(637\) −0.181936 0.0753604i −0.00720857 0.00298589i
\(638\) −24.9580 + 49.9634i −0.988096 + 1.97807i
\(639\) −1.78965 −0.0707973
\(640\) −17.8248 + 5.34672i −0.704588 + 0.211347i
\(641\) −16.9429 −0.669206 −0.334603 0.942359i \(-0.608602\pi\)
−0.334603 + 0.942359i \(0.608602\pi\)
\(642\) 4.63778 9.28438i 0.183039 0.366425i
\(643\) 1.94579 + 0.805973i 0.0767345 + 0.0317845i 0.420721 0.907190i \(-0.361777\pi\)
−0.343986 + 0.938975i \(0.611777\pi\)
\(644\) −1.46257 1.94701i −0.0576334 0.0767229i
\(645\) 4.28402 + 10.3425i 0.168683 + 0.407237i
\(646\) 13.2028 11.4596i 0.519459 0.450871i
\(647\) 17.8656 17.8656i 0.702368 0.702368i −0.262550 0.964918i \(-0.584564\pi\)
0.964918 + 0.262550i \(0.0845636\pi\)
\(648\) −9.52196 52.0336i −0.374058 2.04407i
\(649\) −0.223238 0.223238i −0.00876285 0.00876285i
\(650\) −0.637402 0.0450552i −0.0250009 0.00176721i
\(651\) −16.1278 + 6.68033i −0.632097 + 0.261823i
\(652\) −10.1783 39.6032i −0.398612 1.55098i
\(653\) 17.2420 41.6258i 0.674730 1.62894i −0.0987430 0.995113i \(-0.531482\pi\)
0.773473 0.633829i \(-0.218518\pi\)
\(654\) −17.3969 52.1247i −0.680274 2.03824i
\(655\) 17.4702i 0.682619i
\(656\) 12.3302 6.78613i 0.481413 0.264954i
\(657\) 24.5603i 0.958189i
\(658\) 9.94497 3.31919i 0.387695 0.129395i
\(659\) −6.11881 + 14.7721i −0.238355 + 0.575440i −0.997113 0.0759327i \(-0.975807\pi\)
0.758758 + 0.651373i \(0.225807\pi\)
\(660\) 32.9353 55.7204i 1.28201 2.16891i
\(661\) −16.1894 + 6.70585i −0.629693 + 0.260828i −0.674623 0.738163i \(-0.735694\pi\)
0.0449295 + 0.998990i \(0.485694\pi\)
\(662\) −1.68094 + 23.7804i −0.0653315 + 0.924252i
\(663\) 1.75335 + 1.75335i 0.0680943 + 0.0680943i
\(664\) −3.15432 + 14.6763i −0.122411 + 0.569551i
\(665\) −3.60605 + 3.60605i −0.139837 + 0.139837i
\(666\) −71.8127 82.7372i −2.78269 3.20600i
\(667\) 2.95347 + 7.13031i 0.114359 + 0.276087i
\(668\) 38.7774 + 5.50955i 1.50034 + 0.213171i
\(669\) −1.36892 0.567023i −0.0529253 0.0219224i
\(670\) −8.18013 4.08618i −0.316026 0.157863i
\(671\) 74.4474 2.87401
\(672\) 16.7637 + 6.17328i 0.646674 + 0.238140i
\(673\) 2.01887 0.0778215 0.0389108 0.999243i \(-0.487611\pi\)
0.0389108 + 0.999243i \(0.487611\pi\)
\(674\) 23.7725 + 11.8749i 0.915681 + 0.457405i
\(675\) 26.5953 + 11.0161i 1.02365 + 0.424011i
\(676\) 3.64648 25.6647i 0.140249 0.987103i
\(677\) −5.13139 12.3883i −0.197215 0.476120i 0.794074 0.607821i \(-0.207956\pi\)
−0.991289 + 0.131701i \(0.957956\pi\)
\(678\) 6.18854 + 7.12997i 0.237669 + 0.273825i
\(679\) 10.2359 10.2359i 0.392819 0.392819i
\(680\) −15.5801 + 10.0678i −0.597471 + 0.386081i
\(681\) −40.8217 40.8217i −1.56429 1.56429i
\(682\) 3.43421 48.5841i 0.131503 1.86038i
\(683\) −19.3002 + 7.99442i −0.738503 + 0.305898i −0.720041 0.693932i \(-0.755877\pi\)
−0.0184619 + 0.999830i \(0.505877\pi\)
\(684\) −37.2214 22.0009i −1.42320 0.841224i
\(685\) 3.29708 7.95985i 0.125975 0.304130i
\(686\) −1.34147 + 0.447724i −0.0512176 + 0.0170942i
\(687\) 37.9663i 1.44851i
\(688\) −0.949991 8.56802i −0.0362181 0.326653i
\(689\) 0.274660i 0.0104637i
\(690\) −2.83168 8.48429i −0.107800 0.322991i
\(691\) 7.63037 18.4213i 0.290273 0.700781i −0.709720 0.704484i \(-0.751179\pi\)
0.999993 + 0.00370270i \(0.00117861\pi\)
\(692\) −11.7286 + 3.01433i −0.445855 + 0.114588i
\(693\) −40.1364 + 16.6251i −1.52466 + 0.631534i
\(694\) −31.4790 2.22512i −1.19493 0.0844645i
\(695\) 21.0089 + 21.0089i 0.796913 + 0.796913i
\(696\) −46.5873 32.1742i −1.76589 1.21956i
\(697\) 9.92020 9.92020i 0.375754 0.375754i
\(698\) 3.38302 2.93633i 0.128049 0.111142i
\(699\) 10.6955 + 25.8213i 0.404543 + 0.976652i
\(700\) −3.66901 + 2.75612i −0.138676 + 0.104171i
\(701\) 20.1097 + 8.32971i 0.759533 + 0.314609i 0.728625 0.684913i \(-0.240160\pi\)
0.0309085 + 0.999522i \(0.490160\pi\)
\(702\) 1.56141 3.12578i 0.0589315 0.117975i
\(703\) −34.4452 −1.29913
\(704\) −36.3098 + 34.1454i −1.36848 + 1.28690i
\(705\) 38.5088 1.45033
\(706\) −0.587206 + 1.17553i −0.0220998 + 0.0442416i
\(707\) −0.949102 0.393131i −0.0356947 0.0147852i
\(708\) 0.255889 0.192221i 0.00961690 0.00722411i
\(709\) 6.82463 + 16.4761i 0.256304 + 0.618773i 0.998688 0.0512014i \(-0.0163050\pi\)
−0.742384 + 0.669974i \(0.766305\pi\)
\(710\) 0.450884 0.391350i 0.0169214 0.0146871i
\(711\) 22.9645 22.9645i 0.861236 0.861236i
\(712\) −12.5559 + 18.1806i −0.470553 + 0.681347i
\(713\) −4.75915 4.75915i −0.178232 0.178232i
\(714\) 17.7628 + 1.25558i 0.664756 + 0.0469888i
\(715\) 1.86449 0.772298i 0.0697280 0.0288823i
\(716\) −36.1415 + 9.28861i −1.35067 + 0.347132i
\(717\) −5.39547 + 13.0258i −0.201498 + 0.486458i
\(718\) 11.3728 + 34.0751i 0.424428 + 1.27167i
\(719\) 46.5403i 1.73566i −0.496861 0.867830i \(-0.665514\pi\)
0.496861 0.867830i \(-0.334486\pi\)
\(720\) 35.8176 + 28.6677i 1.33484 + 1.06838i
\(721\) 7.23790i 0.269553i
\(722\) 12.5930 4.20299i 0.468664 0.156419i
\(723\) 25.0345 60.4386i 0.931043 2.24774i
\(724\) −2.05034 1.21192i −0.0762002 0.0450405i
\(725\) 13.4366 5.56562i 0.499022 0.206702i
\(726\) 8.75972 123.925i 0.325104 4.59928i
\(727\) 10.4198 + 10.4198i 0.386448 + 0.386448i 0.873418 0.486970i \(-0.161898\pi\)
−0.486970 + 0.873418i \(0.661898\pi\)
\(728\) 0.302300 + 0.467819i 0.0112040 + 0.0173385i
\(729\) −8.16368 + 8.16368i −0.302359 + 0.302359i
\(730\) −5.37072 6.18774i −0.198779 0.229018i
\(731\) −3.28838 7.93886i −0.121625 0.293629i
\(732\) −10.6163 + 74.7200i −0.392391 + 2.76173i
\(733\) 33.3482 + 13.8133i 1.23175 + 0.510206i 0.901126 0.433558i \(-0.142742\pi\)
0.330620 + 0.943764i \(0.392742\pi\)
\(734\) −13.7018 6.84438i −0.505742 0.252631i
\(735\) −5.19444 −0.191600
\(736\) 0.274448 + 6.88217i 0.0101163 + 0.253680i
\(737\) −24.4907 −0.902128
\(738\) −31.0398 15.5052i −1.14259 0.570753i
\(739\) 31.7629 + 13.1566i 1.16842 + 0.483974i 0.880669 0.473733i \(-0.157094\pi\)
0.287747 + 0.957706i \(0.407094\pi\)
\(740\) 36.1851 + 5.14123i 1.33019 + 0.188995i
\(741\) −0.737856 1.78134i −0.0271058 0.0654393i
\(742\) −1.29292 1.48961i −0.0474647 0.0546852i
\(743\) 9.90027 9.90027i 0.363206 0.363206i −0.501786 0.864992i \(-0.667324\pi\)
0.864992 + 0.501786i \(0.167324\pi\)
\(744\) 48.2723 + 10.3750i 1.76975 + 0.380364i
\(745\) 22.1637 + 22.1637i 0.812015 + 0.812015i
\(746\) −0.803975 + 11.3739i −0.0294356 + 0.416429i
\(747\) 34.1904 14.1621i 1.25096 0.518165i
\(748\) −25.2809 + 42.7706i −0.924362 + 1.56385i
\(749\) 0.889284 2.14692i 0.0324937 0.0784468i
\(750\) −50.8290 + 16.9645i −1.85601 + 0.619455i
\(751\) 38.4024i 1.40132i 0.713493 + 0.700662i \(0.247112\pi\)
−0.713493 + 0.700662i \(0.752888\pi\)
\(752\) −28.4804 8.25981i −1.03857 0.301204i
\(753\) 48.5622i 1.76971i
\(754\) −0.558870 1.67449i −0.0203528 0.0609812i
\(755\) 5.21249 12.5841i 0.189702 0.457981i
\(756\) −6.24594 24.3026i −0.227162 0.883878i
\(757\) 5.15489 2.13523i 0.187358 0.0776061i −0.287032 0.957921i \(-0.592669\pi\)
0.474390 + 0.880315i \(0.342669\pi\)
\(758\) −14.0327 0.991913i −0.509691 0.0360279i
\(759\) −16.9396 16.9396i −0.614869 0.614869i
\(760\) 14.1886 2.59646i 0.514675 0.0941836i
\(761\) −19.2892 + 19.2892i −0.699232 + 0.699232i −0.964245 0.265012i \(-0.914624\pi\)
0.265012 + 0.964245i \(0.414624\pi\)
\(762\) 10.7836 9.35975i 0.390648 0.339068i
\(763\) −4.70861 11.3676i −0.170463 0.411534i
\(764\) −29.9018 39.8059i −1.08181 1.44013i
\(765\) 42.2497 + 17.5004i 1.52754 + 0.632728i
\(766\) −7.41513 + 14.8444i −0.267920 + 0.536349i
\(767\) 0.00997869 0.000360310
\(768\) −29.0925 41.3119i −1.04979 1.49072i
\(769\) −17.8703 −0.644420 −0.322210 0.946668i \(-0.604426\pi\)
−0.322210 + 0.946668i \(0.604426\pi\)
\(770\) 6.47651 12.9653i 0.233397 0.467238i
\(771\) −48.7834 20.2067i −1.75689 0.727728i
\(772\) 0.388997 + 0.517843i 0.0140003 + 0.0186376i
\(773\) −7.59136 18.3272i −0.273042 0.659182i 0.726568 0.687094i \(-0.241114\pi\)
−0.999610 + 0.0279122i \(0.991114\pi\)
\(774\) −16.0496