Properties

Label 546.2.bu.b.197.4
Level $546$
Weight $2$
Character 546.197
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 197.4
Character \(\chi\) \(=\) 546.197
Dual form 546.2.bu.b.449.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(-0.413071 - 1.68207i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-2.27299 - 2.27299i) q^{5} +(1.73167 + 0.0363565i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.65874 + 1.38963i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(-0.413071 - 1.68207i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-2.27299 - 2.27299i) q^{5} +(1.73167 + 0.0363565i) q^{6} +(-0.965926 + 0.258819i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.65874 + 1.38963i) q^{9} +(2.78383 - 1.60724i) q^{10} +(-1.90819 - 0.511298i) q^{11} +(-0.483307 + 1.66325i) q^{12} +(1.84108 + 3.10007i) q^{13} -1.00000i q^{14} +(-2.88442 + 4.76223i) q^{15} +(0.500000 + 0.866025i) q^{16} +(0.403373 - 0.698663i) q^{17} +(-0.654149 - 2.92781i) q^{18} +(1.40284 + 5.23546i) q^{19} +(0.831970 + 3.10496i) q^{20} +(0.834349 + 1.51785i) q^{21} +(0.987752 - 1.71084i) q^{22} +(0.417009 + 0.722281i) q^{23} +(-1.48149 - 0.897320i) q^{24} +5.33293i q^{25} +(-3.47094 + 0.975992i) q^{26} +(3.43572 + 3.89819i) q^{27} +(0.965926 + 0.258819i) q^{28} +(-5.40739 + 3.12196i) q^{29} +(-3.85342 - 4.01870i) q^{30} +(2.93164 - 2.93164i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-0.0718224 + 3.42092i) q^{33} +(0.570456 + 0.570456i) q^{34} +(2.78383 + 1.60724i) q^{35} +(2.99736 + 0.125915i) q^{36} +(-1.64609 + 6.14328i) q^{37} -5.42014 q^{38} +(4.45404 - 4.37738i) q^{39} -3.21449 q^{40} +(-0.963357 + 3.59530i) q^{41} +(-1.68207 + 0.413071i) q^{42} +(-10.1613 - 5.86664i) q^{43} +(1.39689 + 1.39689i) q^{44} +(9.20190 + 2.88467i) q^{45} +(-0.805599 + 0.215860i) q^{46} +(-3.93071 + 3.93071i) q^{47} +(1.25018 - 1.19877i) q^{48} +(0.866025 - 0.500000i) q^{49} +(-5.15121 - 1.38026i) q^{50} +(-1.34182 - 0.389906i) q^{51} +(-0.0443903 - 3.60528i) q^{52} -8.62427i q^{53} +(-4.65459 + 2.30972i) q^{54} +(3.17512 + 5.49946i) q^{55} +(-0.500000 + 0.866025i) q^{56} +(8.22695 - 4.52229i) q^{57} +(-1.61604 - 6.03115i) q^{58} +(0.382012 + 1.42569i) q^{59} +(4.87910 - 2.68200i) q^{60} +(0.166796 - 0.288899i) q^{61} +(2.07298 + 3.59051i) q^{62} +(2.20849 - 2.03042i) q^{63} -1.00000i q^{64} +(2.86165 - 11.2312i) q^{65} +(-3.28577 - 0.954774i) q^{66} +(-5.60684 - 1.50235i) q^{67} +(-0.698663 + 0.403373i) q^{68} +(1.04267 - 0.999793i) q^{69} +(-2.27299 + 2.27299i) q^{70} +(-12.3810 + 3.31747i) q^{71} +(-0.897397 + 2.86263i) q^{72} +(2.04963 + 2.04963i) q^{73} +(-5.50791 - 3.18000i) q^{74} +(8.97038 - 2.20288i) q^{75} +(1.40284 - 5.23546i) q^{76} +1.97550 q^{77} +(3.07544 + 5.43523i) q^{78} -1.02275 q^{79} +(0.831970 - 3.10496i) q^{80} +(5.13784 - 7.38936i) q^{81} +(-3.22346 - 1.86106i) q^{82} +(-10.6974 - 10.6974i) q^{83} +(0.0363565 - 1.73167i) q^{84} +(-2.50491 + 0.671189i) q^{85} +(8.29668 - 8.29668i) q^{86} +(7.48499 + 7.80603i) q^{87} +(-1.71084 + 0.987752i) q^{88} +(-2.34981 - 0.629629i) q^{89} +(-5.16801 + 8.14175i) q^{90} +(-2.58071 - 2.51793i) q^{91} -0.834018i q^{92} +(-6.14220 - 3.72025i) q^{93} +(-2.77943 - 4.81412i) q^{94} +(8.71149 - 15.0887i) q^{95} +(0.834349 + 1.51785i) q^{96} +(3.61919 + 13.5070i) q^{97} +(0.258819 + 0.965926i) q^{98} +(5.78391 - 1.29227i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) −0.413071 1.68207i −0.238487 0.971146i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) −2.27299 2.27299i −1.01651 1.01651i −0.999861 0.0166486i \(-0.994700\pi\)
−0.0166486 0.999861i \(-0.505300\pi\)
\(6\) 1.73167 + 0.0363565i 0.706951 + 0.0148425i
\(7\) −0.965926 + 0.258819i −0.365086 + 0.0978244i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −2.65874 + 1.38963i −0.886248 + 0.463211i
\(10\) 2.78383 1.60724i 0.880324 0.508255i
\(11\) −1.90819 0.511298i −0.575341 0.154162i −0.0405961 0.999176i \(-0.512926\pi\)
−0.534745 + 0.845013i \(0.679592\pi\)
\(12\) −0.483307 + 1.66325i −0.139519 + 0.480140i
\(13\) 1.84108 + 3.10007i 0.510624 + 0.859804i
\(14\) 1.00000i 0.267261i
\(15\) −2.88442 + 4.76223i −0.744755 + 1.22960i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 0.403373 0.698663i 0.0978323 0.169451i −0.812955 0.582327i \(-0.802142\pi\)
0.910787 + 0.412876i \(0.135476\pi\)
\(18\) −0.654149 2.92781i −0.154184 0.690092i
\(19\) 1.40284 + 5.23546i 0.321833 + 1.20110i 0.917458 + 0.397833i \(0.130238\pi\)
−0.595625 + 0.803263i \(0.703096\pi\)
\(20\) 0.831970 + 3.10496i 0.186034 + 0.694289i
\(21\) 0.834349 + 1.51785i 0.182070 + 0.331222i
\(22\) 0.987752 1.71084i 0.210589 0.364752i
\(23\) 0.417009 + 0.722281i 0.0869524 + 0.150606i 0.906221 0.422803i \(-0.138954\pi\)
−0.819269 + 0.573409i \(0.805621\pi\)
\(24\) −1.48149 0.897320i −0.302408 0.183165i
\(25\) 5.33293i 1.06659i
\(26\) −3.47094 + 0.975992i −0.680708 + 0.191408i
\(27\) 3.43572 + 3.89819i 0.661204 + 0.750206i
\(28\) 0.965926 + 0.258819i 0.182543 + 0.0489122i
\(29\) −5.40739 + 3.12196i −1.00413 + 0.579733i −0.909467 0.415777i \(-0.863510\pi\)
−0.0946597 + 0.995510i \(0.530176\pi\)
\(30\) −3.85342 4.01870i −0.703535 0.733710i
\(31\) 2.93164 2.93164i 0.526537 0.526537i −0.393001 0.919538i \(-0.628563\pi\)
0.919538 + 0.393001i \(0.128563\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) −0.0718224 + 3.42092i −0.0125027 + 0.595506i
\(34\) 0.570456 + 0.570456i 0.0978323 + 0.0978323i
\(35\) 2.78383 + 1.60724i 0.470553 + 0.271674i
\(36\) 2.99736 + 0.125915i 0.499559 + 0.0209858i
\(37\) −1.64609 + 6.14328i −0.270615 + 1.00995i 0.688108 + 0.725608i \(0.258441\pi\)
−0.958723 + 0.284341i \(0.908225\pi\)
\(38\) −5.42014 −0.879263
\(39\) 4.45404 4.37738i 0.713218 0.700943i
\(40\) −3.21449 −0.508255
\(41\) −0.963357 + 3.59530i −0.150451 + 0.561491i 0.849001 + 0.528391i \(0.177205\pi\)
−0.999452 + 0.0330999i \(0.989462\pi\)
\(42\) −1.68207 + 0.413071i −0.259550 + 0.0637383i
\(43\) −10.1613 5.86664i −1.54959 0.894655i −0.998173 0.0604229i \(-0.980755\pi\)
−0.551414 0.834232i \(-0.685912\pi\)
\(44\) 1.39689 + 1.39689i 0.210589 + 0.210589i
\(45\) 9.20190 + 2.88467i 1.37174 + 0.430021i
\(46\) −0.805599 + 0.215860i −0.118779 + 0.0318268i
\(47\) −3.93071 + 3.93071i −0.573353 + 0.573353i −0.933064 0.359711i \(-0.882875\pi\)
0.359711 + 0.933064i \(0.382875\pi\)
\(48\) 1.25018 1.19877i 0.180448 0.173027i
\(49\) 0.866025 0.500000i 0.123718 0.0714286i
\(50\) −5.15121 1.38026i −0.728491 0.195199i
\(51\) −1.34182 0.389906i −0.187893 0.0545977i
\(52\) −0.0443903 3.60528i −0.00615582 0.499962i
\(53\) 8.62427i 1.18464i −0.805705 0.592318i \(-0.798213\pi\)
0.805705 0.592318i \(-0.201787\pi\)
\(54\) −4.65459 + 2.30972i −0.633409 + 0.314313i
\(55\) 3.17512 + 5.49946i 0.428133 + 0.741548i
\(56\) −0.500000 + 0.866025i −0.0668153 + 0.115728i
\(57\) 8.22695 4.52229i 1.08969 0.598992i
\(58\) −1.61604 6.03115i −0.212197 0.791929i
\(59\) 0.382012 + 1.42569i 0.0497337 + 0.185609i 0.986324 0.164817i \(-0.0527034\pi\)
−0.936590 + 0.350426i \(0.886037\pi\)
\(60\) 4.87910 2.68200i 0.629889 0.346245i
\(61\) 0.166796 0.288899i 0.0213560 0.0369897i −0.855150 0.518381i \(-0.826535\pi\)
0.876506 + 0.481391i \(0.159868\pi\)
\(62\) 2.07298 + 3.59051i 0.263269 + 0.455995i
\(63\) 2.20849 2.03042i 0.278243 0.255808i
\(64\) 1.00000i 0.125000i
\(65\) 2.86165 11.2312i 0.354945 1.39305i
\(66\) −3.28577 0.954774i −0.404450 0.117525i
\(67\) −5.60684 1.50235i −0.684984 0.183541i −0.100489 0.994938i \(-0.532041\pi\)
−0.584495 + 0.811397i \(0.698707\pi\)
\(68\) −0.698663 + 0.403373i −0.0847253 + 0.0489162i
\(69\) 1.04267 0.999793i 0.125523 0.120361i
\(70\) −2.27299 + 2.27299i −0.271674 + 0.271674i
\(71\) −12.3810 + 3.31747i −1.46935 + 0.393711i −0.902708 0.430254i \(-0.858424\pi\)
−0.566641 + 0.823965i \(0.691757\pi\)
\(72\) −0.897397 + 2.86263i −0.105759 + 0.337365i
\(73\) 2.04963 + 2.04963i 0.239891 + 0.239891i 0.816805 0.576914i \(-0.195743\pi\)
−0.576914 + 0.816805i \(0.695743\pi\)
\(74\) −5.50791 3.18000i −0.640282 0.369667i
\(75\) 8.97038 2.20288i 1.03581 0.254367i
\(76\) 1.40284 5.23546i 0.160916 0.600548i
\(77\) 1.97550 0.225130
\(78\) 3.07544 + 5.43523i 0.348225 + 0.615418i
\(79\) −1.02275 −0.115069 −0.0575343 0.998344i \(-0.518324\pi\)
−0.0575343 + 0.998344i \(0.518324\pi\)
\(80\) 0.831970 3.10496i 0.0930171 0.347145i
\(81\) 5.13784 7.38936i 0.570871 0.821040i
\(82\) −3.22346 1.86106i −0.355971 0.205520i
\(83\) −10.6974 10.6974i −1.17419 1.17419i −0.981200 0.192993i \(-0.938180\pi\)
−0.192993 0.981200i \(-0.561820\pi\)
\(84\) 0.0363565 1.73167i 0.00396682 0.188941i
\(85\) −2.50491 + 0.671189i −0.271696 + 0.0728007i
\(86\) 8.29668 8.29668i 0.894655 0.894655i
\(87\) 7.48499 + 7.80603i 0.802476 + 0.836894i
\(88\) −1.71084 + 0.987752i −0.182376 + 0.105295i
\(89\) −2.34981 0.629629i −0.249079 0.0667406i 0.132119 0.991234i \(-0.457822\pi\)
−0.381198 + 0.924493i \(0.624489\pi\)
\(90\) −5.16801 + 8.14175i −0.544756 + 0.858216i
\(91\) −2.58071 2.51793i −0.270531 0.263951i
\(92\) 0.834018i 0.0869524i
\(93\) −6.14220 3.72025i −0.636917 0.385772i
\(94\) −2.77943 4.81412i −0.286677 0.496539i
\(95\) 8.71149 15.0887i 0.893780 1.54807i
\(96\) 0.834349 + 1.51785i 0.0851554 + 0.154915i
\(97\) 3.61919 + 13.5070i 0.367474 + 1.37143i 0.864037 + 0.503429i \(0.167929\pi\)
−0.496563 + 0.868001i \(0.665405\pi\)
\(98\) 0.258819 + 0.965926i 0.0261447 + 0.0975732i
\(99\) 5.78391 1.29227i 0.581305 0.129878i
\(100\) 2.66646 4.61845i 0.266646 0.461845i
\(101\) 0.130884 + 0.226697i 0.0130234 + 0.0225572i 0.872464 0.488679i \(-0.162521\pi\)
−0.859440 + 0.511236i \(0.829188\pi\)
\(102\) 0.723910 1.19519i 0.0716777 0.118341i
\(103\) 2.90239i 0.285981i 0.989724 + 0.142991i \(0.0456718\pi\)
−0.989724 + 0.142991i \(0.954328\pi\)
\(104\) 3.49392 + 0.890237i 0.342607 + 0.0872949i
\(105\) 1.55358 5.34651i 0.151614 0.521766i
\(106\) 8.33041 + 2.23213i 0.809121 + 0.216803i
\(107\) 9.68689 5.59273i 0.936467 0.540669i 0.0476158 0.998866i \(-0.484838\pi\)
0.888851 + 0.458196i \(0.151504\pi\)
\(108\) −1.02632 5.09379i −0.0987581 0.490150i
\(109\) −9.64348 + 9.64348i −0.923678 + 0.923678i −0.997287 0.0736093i \(-0.976548\pi\)
0.0736093 + 0.997287i \(0.476548\pi\)
\(110\) −6.13385 + 1.64356i −0.584840 + 0.156707i
\(111\) 11.0134 + 0.231227i 1.04535 + 0.0219471i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) 11.8951 + 6.86764i 1.11900 + 0.646053i 0.941145 0.338004i \(-0.109752\pi\)
0.177852 + 0.984057i \(0.443085\pi\)
\(114\) 2.23891 + 9.11708i 0.209693 + 0.853893i
\(115\) 0.693878 2.58959i 0.0647045 0.241480i
\(116\) 6.24391 0.579733
\(117\) −9.20292 5.68386i −0.850810 0.525473i
\(118\) −1.47598 −0.135875
\(119\) −0.208801 + 0.779257i −0.0191408 + 0.0714344i
\(120\) 1.32781 + 5.40700i 0.121212 + 0.493590i
\(121\) −6.14651 3.54869i −0.558774 0.322608i
\(122\) 0.235885 + 0.235885i 0.0213560 + 0.0213560i
\(123\) 6.44549 + 0.135323i 0.581171 + 0.0122017i
\(124\) −4.00469 + 1.07305i −0.359632 + 0.0963630i
\(125\) 0.756738 0.756738i 0.0676847 0.0676847i
\(126\) 1.38963 + 2.65874i 0.123798 + 0.236860i
\(127\) −10.2393 + 5.91164i −0.908587 + 0.524573i −0.879976 0.475018i \(-0.842442\pi\)
−0.0286108 + 0.999591i \(0.509108\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) −5.67077 + 19.5154i −0.499284 + 1.71824i
\(130\) 10.1078 + 5.67098i 0.886514 + 0.497378i
\(131\) 0.458774i 0.0400833i 0.999799 + 0.0200416i \(0.00637988\pi\)
−0.999799 + 0.0200416i \(0.993620\pi\)
\(132\) 1.77266 2.92669i 0.154290 0.254736i
\(133\) −2.71007 4.69398i −0.234993 0.407020i
\(134\) 2.90231 5.02695i 0.250722 0.434263i
\(135\) 1.05119 16.6699i 0.0904719 1.43471i
\(136\) −0.208801 0.779257i −0.0179046 0.0668207i
\(137\) 5.42398 + 20.2426i 0.463402 + 1.72944i 0.662133 + 0.749387i \(0.269652\pi\)
−0.198730 + 0.980054i \(0.563682\pi\)
\(138\) 0.695862 + 1.26591i 0.0592357 + 0.107762i
\(139\) 9.45727 16.3805i 0.802155 1.38937i −0.116040 0.993245i \(-0.537020\pi\)
0.918195 0.396129i \(-0.129647\pi\)
\(140\) −1.60724 2.78383i −0.135837 0.235276i
\(141\) 8.23541 + 4.98808i 0.693547 + 0.420073i
\(142\) 12.8177i 1.07564i
\(143\) −1.92808 6.85686i −0.161234 0.573400i
\(144\) −2.53283 1.60772i −0.211069 0.133977i
\(145\) 19.3871 + 5.19475i 1.61001 + 0.431400i
\(146\) −2.51027 + 1.44931i −0.207752 + 0.119946i
\(147\) −1.19877 1.25018i −0.0988726 0.103113i
\(148\) 4.49719 4.49719i 0.369667 0.369667i
\(149\) −12.3313 + 3.30416i −1.01022 + 0.270687i −0.725721 0.687989i \(-0.758494\pi\)
−0.284498 + 0.958677i \(0.591827\pi\)
\(150\) −0.193886 + 9.23487i −0.0158308 + 0.754024i
\(151\) −10.6021 10.6021i −0.862785 0.862785i 0.128876 0.991661i \(-0.458863\pi\)
−0.991661 + 0.128876i \(0.958863\pi\)
\(152\) 4.69398 + 2.71007i 0.380732 + 0.219816i
\(153\) −0.101581 + 2.41811i −0.00821236 + 0.195492i
\(154\) −0.511298 + 1.90819i −0.0412016 + 0.153766i
\(155\) −13.3271 −1.07046
\(156\) −6.04601 + 1.56390i −0.484068 + 0.125213i
\(157\) 15.6148 1.24620 0.623098 0.782143i \(-0.285874\pi\)
0.623098 + 0.782143i \(0.285874\pi\)
\(158\) 0.264708 0.987903i 0.0210590 0.0785933i
\(159\) −14.5067 + 3.56244i −1.15045 + 0.282520i
\(160\) 2.78383 + 1.60724i 0.220081 + 0.127064i
\(161\) −0.589740 0.589740i −0.0464780 0.0464780i
\(162\) 5.80780 + 6.87528i 0.456304 + 0.540173i
\(163\) 8.59318 2.30254i 0.673070 0.180349i 0.0939327 0.995579i \(-0.470056\pi\)
0.579137 + 0.815230i \(0.303389\pi\)
\(164\) 2.63194 2.63194i 0.205520 0.205520i
\(165\) 7.93895 7.61245i 0.618047 0.592629i
\(166\) 13.1016 7.56421i 1.01688 0.587097i
\(167\) 17.6556 + 4.73079i 1.36623 + 0.366080i 0.866099 0.499872i \(-0.166619\pi\)
0.500128 + 0.865951i \(0.333286\pi\)
\(168\) 1.66325 + 0.483307i 0.128323 + 0.0372879i
\(169\) −6.22083 + 11.4150i −0.478526 + 0.878074i
\(170\) 2.59328i 0.198895i
\(171\) −11.0051 11.9703i −0.841584 0.915393i
\(172\) 5.86664 + 10.1613i 0.447327 + 0.774794i
\(173\) −9.16378 + 15.8721i −0.696710 + 1.20674i 0.272891 + 0.962045i \(0.412020\pi\)
−0.969601 + 0.244691i \(0.921313\pi\)
\(174\) −9.47731 + 5.20960i −0.718473 + 0.394939i
\(175\) −1.38026 5.15121i −0.104338 0.389395i
\(176\) −0.511298 1.90819i −0.0385406 0.143835i
\(177\) 2.24031 1.23148i 0.168392 0.0925640i
\(178\) 1.21635 2.10678i 0.0911693 0.157910i
\(179\) −11.9622 20.7192i −0.894100 1.54863i −0.834915 0.550379i \(-0.814483\pi\)
−0.0591851 0.998247i \(-0.518850\pi\)
\(180\) −6.52675 7.09915i −0.486475 0.529139i
\(181\) 24.3916i 1.81301i −0.422194 0.906505i \(-0.638740\pi\)
0.422194 0.906505i \(-0.361260\pi\)
\(182\) 3.10007 1.84108i 0.229792 0.136470i
\(183\) −0.554848 0.161227i −0.0410155 0.0119182i
\(184\) 0.805599 + 0.215860i 0.0593896 + 0.0159134i
\(185\) 17.7051 10.2221i 1.30171 0.751540i
\(186\) 5.18321 4.97004i 0.380051 0.364421i
\(187\) −1.12694 + 1.12694i −0.0824099 + 0.0824099i
\(188\) 5.36945 1.43874i 0.391608 0.104931i
\(189\) −4.32757 2.87613i −0.314785 0.209208i
\(190\) 12.3199 + 12.3199i 0.893780 + 0.893780i
\(191\) 20.4753 + 11.8214i 1.48154 + 0.855369i 0.999781 0.0209324i \(-0.00666349\pi\)
0.481762 + 0.876302i \(0.339997\pi\)
\(192\) −1.68207 + 0.413071i −0.121393 + 0.0298109i
\(193\) 0.469522 1.75228i 0.0337969 0.126132i −0.946966 0.321333i \(-0.895869\pi\)
0.980763 + 0.195201i \(0.0625359\pi\)
\(194\) −13.9835 −1.00396
\(195\) −20.0737 0.174244i −1.43751 0.0124779i
\(196\) −1.00000 −0.0714286
\(197\) −4.83196 + 18.0331i −0.344263 + 1.28481i 0.549209 + 0.835685i \(0.314929\pi\)
−0.893471 + 0.449120i \(0.851737\pi\)
\(198\) −0.248745 + 5.92129i −0.0176775 + 0.420808i
\(199\) 0.661653 + 0.382006i 0.0469033 + 0.0270797i 0.523268 0.852168i \(-0.324713\pi\)
−0.476365 + 0.879248i \(0.658046\pi\)
\(200\) 3.77095 + 3.77095i 0.266646 + 0.266646i
\(201\) −0.211036 + 10.0517i −0.0148853 + 0.708992i
\(202\) −0.252848 + 0.0677504i −0.0177903 + 0.00476690i
\(203\) 4.41511 4.41511i 0.309880 0.309880i
\(204\) 0.967101 + 1.00858i 0.0677106 + 0.0706147i
\(205\) 10.3618 5.98236i 0.723697 0.417826i
\(206\) −2.80349 0.751194i −0.195329 0.0523382i
\(207\) −2.11242 1.34087i −0.146824 0.0931969i
\(208\) −1.76420 + 3.14446i −0.122325 + 0.218029i
\(209\) 10.7075i 0.740654i
\(210\) 4.76223 + 2.88442i 0.328625 + 0.199044i
\(211\) −1.58651 2.74791i −0.109220 0.189174i 0.806235 0.591596i \(-0.201502\pi\)
−0.915454 + 0.402422i \(0.868168\pi\)
\(212\) −4.31214 + 7.46884i −0.296159 + 0.512962i
\(213\) 10.6944 + 19.4553i 0.732771 + 1.33306i
\(214\) 2.89501 + 10.8043i 0.197899 + 0.738568i
\(215\) 9.76175 + 36.4313i 0.665746 + 2.48460i
\(216\) 5.18585 + 0.327016i 0.352853 + 0.0222506i
\(217\) −2.07298 + 3.59051i −0.140723 + 0.243739i
\(218\) −6.81897 11.8108i −0.461839 0.799929i
\(219\) 2.60099 4.29427i 0.175758 0.290180i
\(220\) 6.35023i 0.428133i
\(221\) 2.90854 0.0358117i 0.195650 0.00240895i
\(222\) −3.07383 + 10.5783i −0.206302 + 0.709968i
\(223\) −18.1578 4.86537i −1.21594 0.325810i −0.406849 0.913496i \(-0.633372\pi\)
−0.809089 + 0.587686i \(0.800039\pi\)
\(224\) 0.866025 0.500000i 0.0578638 0.0334077i
\(225\) −7.41081 14.1789i −0.494054 0.945259i
\(226\) −9.71230 + 9.71230i −0.646053 + 0.646053i
\(227\) −9.86449 + 2.64318i −0.654729 + 0.175434i −0.570866 0.821043i \(-0.693393\pi\)
−0.0838631 + 0.996477i \(0.526726\pi\)
\(228\) −9.38589 0.197057i −0.621596 0.0130504i
\(229\) −16.7199 16.7199i −1.10488 1.10488i −0.993812 0.111073i \(-0.964571\pi\)
−0.111073 0.993812i \(-0.535429\pi\)
\(230\) 2.32176 + 1.34047i 0.153092 + 0.0883879i
\(231\) −0.816024 3.32294i −0.0536905 0.218634i
\(232\) −1.61604 + 6.03115i −0.106098 + 0.395965i
\(233\) −2.38801 −0.156444 −0.0782219 0.996936i \(-0.524924\pi\)
−0.0782219 + 0.996936i \(0.524924\pi\)
\(234\) 7.87208 7.41825i 0.514614 0.484946i
\(235\) 17.8689 1.16564
\(236\) 0.382012 1.42569i 0.0248669 0.0928044i
\(237\) 0.422470 + 1.72034i 0.0274423 + 0.111748i
\(238\) −0.698663 0.403373i −0.0452876 0.0261468i
\(239\) −18.0519 18.0519i −1.16768 1.16768i −0.982752 0.184928i \(-0.940795\pi\)
−0.184928 0.982752i \(-0.559205\pi\)
\(240\) −5.56643 0.116867i −0.359311 0.00754376i
\(241\) 0.553255 0.148244i 0.0356383 0.00954924i −0.240956 0.970536i \(-0.577461\pi\)
0.276594 + 0.960987i \(0.410794\pi\)
\(242\) 5.01861 5.01861i 0.322608 0.322608i
\(243\) −14.5517 5.58990i −0.933494 0.358592i
\(244\) −0.288899 + 0.166796i −0.0184948 + 0.0106780i
\(245\) −3.10496 0.831970i −0.198368 0.0531526i
\(246\) −1.79893 + 6.19084i −0.114696 + 0.394714i
\(247\) −13.6475 + 13.9878i −0.868372 + 0.890022i
\(248\) 4.14596i 0.263269i
\(249\) −13.5750 + 22.4126i −0.860283 + 1.42034i
\(250\) 0.535095 + 0.926811i 0.0338423 + 0.0586167i
\(251\) 4.21956 7.30848i 0.266336 0.461307i −0.701577 0.712594i \(-0.747520\pi\)
0.967913 + 0.251286i \(0.0808536\pi\)
\(252\) −2.92781 + 0.654149i −0.184435 + 0.0412075i
\(253\) −0.426432 1.59147i −0.0268095 0.100055i
\(254\) −3.06009 11.4204i −0.192007 0.716580i
\(255\) 2.16370 + 3.93620i 0.135496 + 0.246494i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −1.19640 2.07222i −0.0746293 0.129262i 0.826296 0.563237i \(-0.190444\pi\)
−0.900925 + 0.433975i \(0.857111\pi\)
\(258\) −17.3828 10.5285i −1.08220 0.655477i
\(259\) 6.35999i 0.395191i
\(260\) −8.09385 + 8.29564i −0.501959 + 0.514474i
\(261\) 10.0385 15.8148i 0.621366 0.978909i
\(262\) −0.443142 0.118740i −0.0273774 0.00733575i
\(263\) −3.90412 + 2.25405i −0.240739 + 0.138990i −0.615516 0.788124i \(-0.711052\pi\)
0.374778 + 0.927115i \(0.377719\pi\)
\(264\) 2.36817 + 2.46974i 0.145751 + 0.152002i
\(265\) −19.6029 + 19.6029i −1.20419 + 1.20419i
\(266\) 5.23546 1.40284i 0.321006 0.0860134i
\(267\) −0.0884444 + 4.21263i −0.00541271 + 0.257809i
\(268\) 4.10449 + 4.10449i 0.250722 + 0.250722i
\(269\) −4.06585 2.34742i −0.247899 0.143125i 0.370903 0.928672i \(-0.379048\pi\)
−0.618802 + 0.785547i \(0.712382\pi\)
\(270\) 15.8298 + 5.32985i 0.963369 + 0.324364i
\(271\) −3.16884 + 11.8263i −0.192493 + 0.718394i 0.800409 + 0.599455i \(0.204616\pi\)
−0.992902 + 0.118939i \(0.962051\pi\)
\(272\) 0.806746 0.0489162
\(273\) −3.16933 + 5.38102i −0.191816 + 0.325674i
\(274\) −20.9567 −1.26604
\(275\) 2.72672 10.1762i 0.164427 0.613650i
\(276\) −1.40288 + 0.344509i −0.0844434 + 0.0207370i
\(277\) −8.54213 4.93180i −0.513247 0.296323i 0.220921 0.975292i \(-0.429094\pi\)
−0.734167 + 0.678969i \(0.762427\pi\)
\(278\) 13.3746 + 13.3746i 0.802155 + 0.802155i
\(279\) −3.72057 + 11.8684i −0.222745 + 0.710541i
\(280\) 3.10496 0.831970i 0.185557 0.0497197i
\(281\) −14.2624 + 14.2624i −0.850826 + 0.850826i −0.990235 0.139409i \(-0.955480\pi\)
0.139409 + 0.990235i \(0.455480\pi\)
\(282\) −6.94960 + 6.66379i −0.413843 + 0.396823i
\(283\) −2.71968 + 1.57021i −0.161668 + 0.0933391i −0.578651 0.815575i \(-0.696421\pi\)
0.416983 + 0.908914i \(0.363087\pi\)
\(284\) 12.3810 + 3.31747i 0.734674 + 0.196855i
\(285\) −28.9788 8.42064i −1.71656 0.498796i
\(286\) 7.12224 0.0876932i 0.421147 0.00518541i
\(287\) 3.72213i 0.219710i
\(288\) 2.20849 2.03042i 0.130136 0.119643i
\(289\) 8.17458 + 14.1588i 0.480858 + 0.832870i
\(290\) −10.0355 + 17.3820i −0.589304 + 1.02070i
\(291\) 21.2248 11.6671i 1.24422 0.683938i
\(292\) −0.750217 2.79985i −0.0439031 0.163849i
\(293\) 2.76614 + 10.3234i 0.161600 + 0.603098i 0.998449 + 0.0556657i \(0.0177281\pi\)
−0.836850 + 0.547433i \(0.815605\pi\)
\(294\) 1.51785 0.834349i 0.0885227 0.0486602i
\(295\) 2.37226 4.10888i 0.138118 0.239228i
\(296\) 3.18000 + 5.50791i 0.184833 + 0.320141i
\(297\) −4.56287 9.19516i −0.264764 0.533557i
\(298\) 12.7663i 0.739532i
\(299\) −1.47137 + 2.62253i −0.0850916 + 0.151665i
\(300\) −8.87001 2.57744i −0.512110 0.148808i
\(301\) 11.3335 + 3.03680i 0.653251 + 0.175038i
\(302\) 12.9848 7.49680i 0.747193 0.431392i
\(303\) 0.327257 0.313798i 0.0188004 0.0180272i
\(304\) −3.83262 + 3.83262i −0.219816 + 0.219816i
\(305\) −1.03579 + 0.277538i −0.0593090 + 0.0158918i
\(306\) −2.30942 0.723972i −0.132021 0.0413867i
\(307\) −23.8752 23.8752i −1.36263 1.36263i −0.870548 0.492083i \(-0.836235\pi\)
−0.492083 0.870548i \(-0.663765\pi\)
\(308\) −1.71084 0.987752i −0.0974840 0.0562824i
\(309\) 4.88203 1.19889i 0.277729 0.0682027i
\(310\) 3.44932 12.8730i 0.195908 0.731139i
\(311\) −35.0970 −1.99017 −0.995084 0.0990298i \(-0.968426\pi\)
−0.995084 + 0.0990298i \(0.968426\pi\)
\(312\) 0.0542059 6.24476i 0.00306880 0.353540i
\(313\) 9.08067 0.513270 0.256635 0.966508i \(-0.417386\pi\)
0.256635 + 0.966508i \(0.417386\pi\)
\(314\) −4.04141 + 15.0827i −0.228070 + 0.851168i
\(315\) −9.63496 0.404751i −0.542869 0.0228052i
\(316\) 0.885729 + 0.511376i 0.0498262 + 0.0287671i
\(317\) 17.6223 + 17.6223i 0.989765 + 0.989765i 0.999948 0.0101830i \(-0.00324140\pi\)
−0.0101830 + 0.999948i \(0.503241\pi\)
\(318\) 0.313548 14.9344i 0.0175829 0.837479i
\(319\) 11.9146 3.19250i 0.667088 0.178746i
\(320\) −2.27299 + 2.27299i −0.127064 + 0.127064i
\(321\) −13.4088 13.9839i −0.748404 0.780503i
\(322\) 0.722281 0.417009i 0.0402511 0.0232390i
\(323\) 4.22368 + 1.13173i 0.235012 + 0.0629713i
\(324\) −8.14418 + 3.83045i −0.452454 + 0.212803i
\(325\) −16.5324 + 9.81836i −0.917054 + 0.544624i
\(326\) 8.89632i 0.492721i
\(327\) 20.2045 + 12.2376i 1.11731 + 0.676741i
\(328\) 1.86106 + 3.22346i 0.102760 + 0.177986i
\(329\) 2.77943 4.81412i 0.153235 0.265411i
\(330\) 5.29831 + 9.63869i 0.291662 + 0.530592i
\(331\) −6.25531 23.3451i −0.343823 1.28316i −0.893981 0.448104i \(-0.852099\pi\)
0.550159 0.835060i \(-0.314567\pi\)
\(332\) 3.91552 + 14.6129i 0.214892 + 0.801989i
\(333\) −4.16038 18.6209i −0.227987 1.02042i
\(334\) −9.13919 + 15.8295i −0.500074 + 0.866154i
\(335\) 9.32945 + 16.1591i 0.509722 + 0.882865i
\(336\) −0.897320 + 1.48149i −0.0489528 + 0.0808220i
\(337\) 30.3885i 1.65536i −0.561197 0.827682i \(-0.689659\pi\)
0.561197 0.827682i \(-0.310341\pi\)
\(338\) −9.41593 8.96327i −0.512159 0.487538i
\(339\) 6.63835 22.8452i 0.360546 1.24078i
\(340\) 2.50491 + 0.671189i 0.135848 + 0.0364003i
\(341\) −7.09306 + 4.09518i −0.384111 + 0.221767i
\(342\) 14.4108 7.53201i 0.779245 0.407284i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) −11.3335 + 3.03680i −0.611060 + 0.163733i
\(345\) −4.64250 0.0974695i −0.249944 0.00524758i
\(346\) −12.9595 12.9595i −0.696710 0.696710i
\(347\) −1.62331 0.937218i −0.0871438 0.0503125i 0.455795 0.890085i \(-0.349355\pi\)
−0.542939 + 0.839772i \(0.682688\pi\)
\(348\) −2.57918 10.5027i −0.138259 0.563005i
\(349\) −1.40481 + 5.24282i −0.0751977 + 0.280642i −0.993278 0.115753i \(-0.963072\pi\)
0.918080 + 0.396394i \(0.129739\pi\)
\(350\) 5.33293 0.285057
\(351\) −5.75920 + 17.8278i −0.307404 + 0.951579i
\(352\) 1.97550 0.105295
\(353\) 6.21785 23.2053i 0.330943 1.23510i −0.577258 0.816562i \(-0.695877\pi\)
0.908201 0.418534i \(-0.137456\pi\)
\(354\) 0.609686 + 2.48271i 0.0324044 + 0.131955i
\(355\) 35.6823 + 20.6012i 1.89382 + 1.09340i
\(356\) 1.72018 + 1.72018i 0.0911693 + 0.0911693i
\(357\) 1.39702 + 0.0293304i 0.0739380 + 0.00155233i
\(358\) 23.1093 6.19211i 1.22136 0.327263i
\(359\) 5.86558 5.86558i 0.309573 0.309573i −0.535171 0.844744i \(-0.679753\pi\)
0.844744 + 0.535171i \(0.179753\pi\)
\(360\) 8.54650 4.46696i 0.450440 0.235429i
\(361\) −8.98757 + 5.18898i −0.473030 + 0.273104i
\(362\) 23.5604 + 6.31300i 1.23831 + 0.331804i
\(363\) −3.43021 + 11.8048i −0.180039 + 0.619589i
\(364\) 0.975992 + 3.47094i 0.0511559 + 0.181927i
\(365\) 9.31756i 0.487703i
\(366\) 0.299338 0.494213i 0.0156467 0.0258329i
\(367\) 2.89279 + 5.01046i 0.151002 + 0.261544i 0.931596 0.363495i \(-0.118417\pi\)
−0.780594 + 0.625039i \(0.785083\pi\)
\(368\) −0.417009 + 0.722281i −0.0217381 + 0.0376515i
\(369\) −2.43482 10.8977i −0.126752 0.567311i
\(370\) 5.29132 + 19.7475i 0.275083 + 1.02662i
\(371\) 2.23213 + 8.33041i 0.115886 + 0.432493i
\(372\) 3.45918 + 6.29294i 0.179350 + 0.326274i
\(373\) −18.8032 + 32.5681i −0.973594 + 1.68631i −0.289095 + 0.957301i \(0.593354\pi\)
−0.684499 + 0.729014i \(0.739979\pi\)
\(374\) −0.796865 1.38021i −0.0412049 0.0713690i
\(375\) −1.58548 0.960302i −0.0818736 0.0495898i
\(376\) 5.55887i 0.286677i
\(377\) −19.6337 11.0155i −1.01119 0.567326i
\(378\) 3.89819 3.43572i 0.200501 0.176714i
\(379\) 15.8931 + 4.25855i 0.816374 + 0.218747i 0.642761 0.766067i \(-0.277789\pi\)
0.173614 + 0.984814i \(0.444456\pi\)
\(380\) −15.0887 + 8.71149i −0.774036 + 0.446890i
\(381\) 14.1734 + 14.7813i 0.726123 + 0.757267i
\(382\) −16.7180 + 16.7180i −0.855369 + 0.855369i
\(383\) 32.2825 8.65006i 1.64956 0.441997i 0.690068 0.723745i \(-0.257581\pi\)
0.959489 + 0.281747i \(0.0909140\pi\)
\(384\) 0.0363565 1.73167i 0.00185531 0.0883689i
\(385\) −4.49029 4.49029i −0.228847 0.228847i
\(386\) 1.57105 + 0.907046i 0.0799644 + 0.0461674i
\(387\) 35.1688 + 1.47739i 1.78773 + 0.0751001i
\(388\) 3.61919 13.5070i 0.183737 0.685715i
\(389\) −9.68139 −0.490866 −0.245433 0.969414i \(-0.578930\pi\)
−0.245433 + 0.969414i \(0.578930\pi\)
\(390\) 5.36377 19.3446i 0.271605 0.979553i
\(391\) 0.672841 0.0340270
\(392\) 0.258819 0.965926i 0.0130723 0.0487866i
\(393\) 0.771692 0.189506i 0.0389267 0.00955934i
\(394\) −16.1680 9.33462i −0.814534 0.470272i
\(395\) 2.32470 + 2.32470i 0.116968 + 0.116968i
\(396\) −5.65515 1.77281i −0.284182 0.0890872i
\(397\) 8.59799 2.30383i 0.431521 0.115626i −0.0365191 0.999333i \(-0.511627\pi\)
0.468040 + 0.883707i \(0.344960\pi\)
\(398\) −0.540237 + 0.540237i −0.0270797 + 0.0270797i
\(399\) −6.77617 + 6.49749i −0.339233 + 0.325281i
\(400\) −4.61845 + 2.66646i −0.230923 + 0.133323i
\(401\) 38.5315 + 10.3245i 1.92417 + 0.515580i 0.985144 + 0.171733i \(0.0549366\pi\)
0.939026 + 0.343847i \(0.111730\pi\)
\(402\) −9.65457 2.80541i −0.481526 0.139921i
\(403\) 14.4857 + 3.69089i 0.721582 + 0.183856i
\(404\) 0.261768i 0.0130234i
\(405\) −28.4741 + 5.11766i −1.41489 + 0.254299i
\(406\) 3.12196 + 5.40739i 0.154940 + 0.268364i
\(407\) 6.28210 10.8809i 0.311392 0.539347i
\(408\) −1.22452 + 0.673108i −0.0606227 + 0.0333238i
\(409\) 3.78807 + 14.1373i 0.187308 + 0.699043i 0.994125 + 0.108241i \(0.0345219\pi\)
−0.806817 + 0.590802i \(0.798811\pi\)
\(410\) 3.09670 + 11.5570i 0.152935 + 0.570762i
\(411\) 31.8090 17.4852i 1.56902 0.862480i
\(412\) 1.45120 2.51354i 0.0714953 0.123833i
\(413\) −0.737991 1.27824i −0.0363141 0.0628979i
\(414\) 1.84192 1.69340i 0.0905253 0.0832262i
\(415\) 48.6301i 2.38716i
\(416\) −2.58071 2.51793i −0.126529 0.123452i
\(417\) −31.4597 9.14152i −1.54059 0.447662i
\(418\) 10.3427 + 2.77131i 0.505876 + 0.135549i
\(419\) 6.46800 3.73430i 0.315982 0.182433i −0.333618 0.942708i \(-0.608270\pi\)
0.649600 + 0.760276i \(0.274936\pi\)
\(420\) −4.01870 + 3.85342i −0.196092 + 0.188028i
\(421\) 25.9751 25.9751i 1.26595 1.26595i 0.317789 0.948162i \(-0.397060\pi\)
0.948162 0.317789i \(-0.102940\pi\)
\(422\) 3.06489 0.821236i 0.149197 0.0399771i
\(423\) 4.98851 15.9130i 0.242550 0.773717i
\(424\) −6.09828 6.09828i −0.296159 0.296159i
\(425\) 3.72592 + 2.15116i 0.180734 + 0.104347i
\(426\) −21.5603 + 5.29463i −1.04460 + 0.256526i
\(427\) −0.0863399 + 0.322225i −0.00417828 + 0.0155935i
\(428\) −11.1855 −0.540669
\(429\) −10.7373 + 6.07554i −0.518402 + 0.293330i
\(430\) −37.7165 −1.81885
\(431\) −5.80211 + 21.6538i −0.279478 + 1.04302i 0.673303 + 0.739366i \(0.264875\pi\)
−0.952781 + 0.303658i \(0.901792\pi\)
\(432\) −1.65807 + 4.92451i −0.0797739 + 0.236931i
\(433\) 27.7210 + 16.0048i 1.33219 + 0.769139i 0.985635 0.168891i \(-0.0540186\pi\)
0.346554 + 0.938030i \(0.387352\pi\)
\(434\) −2.93164 2.93164i −0.140723 0.140723i
\(435\) 0.729709 34.7563i 0.0349869 1.66644i
\(436\) 13.1732 3.52976i 0.630884 0.169045i
\(437\) −3.19647 + 3.19647i −0.152908 + 0.152908i
\(438\) 3.47476 + 3.62380i 0.166031 + 0.173152i
\(439\) −12.6436 + 7.29979i −0.603446 + 0.348400i −0.770396 0.637565i \(-0.779942\pi\)
0.166950 + 0.985965i \(0.446608\pi\)
\(440\) 6.13385 + 1.64356i 0.292420 + 0.0783537i
\(441\) −1.60772 + 2.53283i −0.0765583 + 0.120611i
\(442\) −0.718195 + 2.81871i −0.0341611 + 0.134072i
\(443\) 32.5416i 1.54610i 0.634347 + 0.773048i \(0.281269\pi\)
−0.634347 + 0.773048i \(0.718731\pi\)
\(444\) −9.42227 5.70695i −0.447161 0.270840i
\(445\) 3.90994 + 6.77222i 0.185349 + 0.321034i
\(446\) 9.39918 16.2799i 0.445064 0.770874i
\(447\) 10.6515 + 19.3773i 0.503801 + 0.916515i
\(448\) 0.258819 + 0.965926i 0.0122281 + 0.0456357i
\(449\) −3.73921 13.9549i −0.176464 0.658574i −0.996298 0.0859717i \(-0.972601\pi\)
0.819833 0.572602i \(-0.194066\pi\)
\(450\) 15.6138 3.48853i 0.736042 0.164451i
\(451\) 3.67654 6.36795i 0.173121 0.299855i
\(452\) −6.86764 11.8951i −0.323026 0.559498i
\(453\) −13.4541 + 22.2129i −0.632127 + 1.04365i
\(454\) 10.2125i 0.479295i
\(455\) 0.142692 + 11.5891i 0.00668950 + 0.543306i
\(456\) 2.61959 9.01508i 0.122674 0.422170i
\(457\) 20.7063 + 5.54824i 0.968601 + 0.259536i 0.708237 0.705975i \(-0.249491\pi\)
0.260364 + 0.965511i \(0.416158\pi\)
\(458\) 20.4777 11.8228i 0.956858 0.552442i
\(459\) 4.10939 0.827983i 0.191810 0.0386469i
\(460\) −1.89571 + 1.89571i −0.0883879 + 0.0883879i
\(461\) −9.03646 + 2.42131i −0.420870 + 0.112772i −0.463037 0.886339i \(-0.653240\pi\)
0.0421675 + 0.999111i \(0.486574\pi\)
\(462\) 3.42092 + 0.0718224i 0.159156 + 0.00334148i
\(463\) −2.03534 2.03534i −0.0945902 0.0945902i 0.658228 0.752818i \(-0.271306\pi\)
−0.752818 + 0.658228i \(0.771306\pi\)
\(464\) −5.40739 3.12196i −0.251032 0.144933i
\(465\) 5.50506 + 22.4172i 0.255291 + 1.03957i
\(466\) 0.618063 2.30664i 0.0286312 0.106853i
\(467\) 18.9918 0.878836 0.439418 0.898283i \(-0.355185\pi\)
0.439418 + 0.898283i \(0.355185\pi\)
\(468\) 5.12804 + 9.52383i 0.237044 + 0.440239i
\(469\) 5.80463 0.268033
\(470\) −4.62481 + 17.2600i −0.213327 + 0.796146i
\(471\) −6.45003 26.2652i −0.297202 1.21024i
\(472\) 1.27824 + 0.737991i 0.0588356 + 0.0339688i
\(473\) 16.3901 + 16.3901i 0.753619 + 0.753619i
\(474\) −1.77107 0.0371836i −0.0813479 0.00170790i
\(475\) −27.9203 + 7.48122i −1.28107 + 0.343262i
\(476\) 0.570456 0.570456i 0.0261468 0.0261468i
\(477\) 11.9846 + 22.9297i 0.548736 + 1.04988i
\(478\) 22.1090 12.7646i 1.01124 0.583840i
\(479\) 18.5881 + 4.98066i 0.849311 + 0.227572i 0.657121 0.753785i \(-0.271774\pi\)
0.192191 + 0.981358i \(0.438441\pi\)
\(480\) 1.55358 5.34651i 0.0709110 0.244034i
\(481\) −22.0752 + 6.20730i −1.00654 + 0.283029i
\(482\) 0.572771i 0.0260890i
\(483\) −0.748381 + 1.23559i −0.0340525 + 0.0562213i
\(484\) 3.54869 + 6.14651i 0.161304 + 0.279387i
\(485\) 22.4749 38.9276i 1.02053 1.76761i
\(486\) 9.16569 12.6091i 0.415764 0.571962i
\(487\) −6.93975 25.8995i −0.314470 1.17362i −0.924482 0.381226i \(-0.875502\pi\)
0.610012 0.792392i \(-0.291165\pi\)
\(488\) −0.0863399 0.322225i −0.00390842 0.0145864i
\(489\) −7.42263 13.5033i −0.335663 0.610638i
\(490\) 1.60724 2.78383i 0.0726079 0.125761i
\(491\) −7.40878 12.8324i −0.334353 0.579117i 0.649007 0.760782i \(-0.275185\pi\)
−0.983360 + 0.181665i \(0.941851\pi\)
\(492\) −5.51430 3.33994i −0.248604 0.150576i
\(493\) 5.03725i 0.226866i
\(494\) −9.97893 16.8028i −0.448973 0.755994i
\(495\) −16.0841 10.2094i −0.722925 0.458879i
\(496\) 4.00469 + 1.07305i 0.179816 + 0.0481815i
\(497\) 11.1005 6.40885i 0.497924 0.287476i
\(498\) −18.1355 18.9133i −0.812669 0.847525i
\(499\) 2.18202 2.18202i 0.0976806 0.0976806i −0.656578 0.754258i \(-0.727997\pi\)
0.754258 + 0.656578i \(0.227997\pi\)
\(500\) −1.03372 + 0.276985i −0.0462295 + 0.0123872i
\(501\) 0.664537 31.6521i 0.0296893 1.41411i
\(502\) 5.96735 + 5.96735i 0.266336 + 0.266336i
\(503\) 11.1019 + 6.40966i 0.495007 + 0.285792i 0.726649 0.687009i \(-0.241077\pi\)
−0.231642 + 0.972801i \(0.574410\pi\)
\(504\) 0.125915 2.99736i 0.00560869 0.133513i
\(505\) 0.217783 0.812777i 0.00969121 0.0361681i
\(506\) 1.64761 0.0732450
\(507\) 21.7704 + 5.74871i 0.966859 + 0.255309i
\(508\) 11.8233 0.524573
\(509\) 3.11993 11.6437i 0.138288 0.516100i −0.861674 0.507462i \(-0.830584\pi\)
0.999963 0.00863772i \(-0.00274951\pi\)
\(510\) −4.36208 + 1.07121i −0.193156 + 0.0474339i
\(511\) −2.51027 1.44931i −0.111048 0.0641136i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −15.5890 + 23.4561i −0.688273 + 1.03561i
\(514\) 2.31126 0.619302i 0.101946 0.0273162i
\(515\) 6.59709 6.59709i 0.290703 0.290703i
\(516\) 14.6688 14.0655i 0.645756 0.619198i
\(517\) 9.51032 5.49078i 0.418263 0.241484i
\(518\) 6.14328 + 1.64609i 0.269920 + 0.0723249i
\(519\) 30.4834 + 8.85783i 1.33807 + 0.388816i
\(520\) −5.91813 9.96513i −0.259527 0.437000i
\(521\) 29.2174i 1.28004i −0.768359 0.640019i \(-0.778926\pi\)
0.768359 0.640019i \(-0.221074\pi\)
\(522\) 12.6777 + 13.7896i 0.554889 + 0.603554i
\(523\) −8.57887 14.8590i −0.375128 0.649741i 0.615218 0.788357i \(-0.289068\pi\)
−0.990346 + 0.138616i \(0.955735\pi\)
\(524\) 0.229387 0.397310i 0.0100208 0.0173566i
\(525\) −8.09457 + 4.44952i −0.353276 + 0.194193i
\(526\) −1.16678 4.35448i −0.0508740 0.189864i
\(527\) −0.865682 3.23077i −0.0377097 0.140734i
\(528\) −2.99852 + 1.64826i −0.130494 + 0.0717313i
\(529\) 11.1522 19.3162i 0.484879 0.839834i
\(530\) −13.8613 24.0085i −0.602097 1.04286i
\(531\) −2.99686 3.25968i −0.130052 0.141458i
\(532\) 5.42014i 0.234993i
\(533\) −12.9193 + 3.63277i −0.559596 + 0.157353i
\(534\) −4.04620 1.17574i −0.175096 0.0508793i
\(535\) −34.7303 9.30597i −1.50152 0.402332i
\(536\) −5.02695 + 2.90231i −0.217131 + 0.125361i
\(537\) −29.9100 + 28.6799i −1.29071 + 1.23763i
\(538\) 3.31976 3.31976i 0.143125 0.143125i
\(539\) −1.90819 + 0.511298i −0.0821916 + 0.0220232i
\(540\) −9.24528 + 13.9109i −0.397854 + 0.598631i
\(541\) −6.80439 6.80439i −0.292544 0.292544i 0.545541 0.838084i \(-0.316324\pi\)
−0.838084 + 0.545541i \(0.816324\pi\)
\(542\) −10.6031 6.12172i −0.455443 0.262950i
\(543\) −41.0284 + 10.0755i −1.76070 + 0.432379i
\(544\) −0.208801 + 0.779257i −0.00895228 + 0.0334104i
\(545\) 43.8390 1.87786
\(546\) −4.37738 4.45404i −0.187335 0.190615i
\(547\) 6.48386 0.277230 0.138615 0.990346i \(-0.455735\pi\)
0.138615 + 0.990346i \(0.455735\pi\)
\(548\) 5.42398 20.2426i 0.231701 0.864720i
\(549\) −0.0420041 + 0.999893i −0.00179269 + 0.0426744i
\(550\) 9.12377 + 5.26761i 0.389039 + 0.224612i
\(551\) −23.9305 23.9305i −1.01948 1.01948i
\(552\) 0.0303219 1.44424i 0.00129059 0.0614711i
\(553\) 0.987903 0.264708i 0.0420099 0.0112565i
\(554\) 6.97462 6.97462i 0.296323 0.296323i
\(555\) −24.5077 25.5589i −1.04030 1.08491i
\(556\) −16.3805 + 9.45727i −0.694687 + 0.401077i
\(557\) −15.6091 4.18244i −0.661378 0.177216i −0.0875103 0.996164i \(-0.527891\pi\)
−0.573868 + 0.818948i \(0.694558\pi\)
\(558\) −10.5010 6.66556i −0.444543 0.282176i
\(559\) −0.520844 42.3018i −0.0220293 1.78917i
\(560\) 3.21449i 0.135837i
\(561\) 2.36110 + 1.43009i 0.0996856 + 0.0603783i
\(562\) −10.0851 17.4679i −0.425413 0.736837i
\(563\) −9.19607 + 15.9281i −0.387568 + 0.671288i −0.992122 0.125277i \(-0.960018\pi\)
0.604554 + 0.796564i \(0.293352\pi\)
\(564\) −4.63804 8.43752i −0.195297 0.355283i
\(565\) −11.4273 42.6474i −0.480752 1.79419i
\(566\) −0.812799 3.03341i −0.0341645 0.127504i
\(567\) −3.05027 + 8.46734i −0.128099 + 0.355595i
\(568\) −6.40885 + 11.1005i −0.268910 + 0.465765i
\(569\) −10.0485 17.4045i −0.421254 0.729633i 0.574808 0.818288i \(-0.305077\pi\)
−0.996062 + 0.0886546i \(0.971743\pi\)
\(570\) 15.6340 25.8120i 0.654836 1.08115i
\(571\) 34.0518i 1.42502i 0.701661 + 0.712511i \(0.252442\pi\)
−0.701661 + 0.712511i \(0.747558\pi\)
\(572\) −1.75867 + 6.90226i −0.0735336 + 0.288598i
\(573\) 11.4268 39.3241i 0.477360 1.64279i
\(574\) 3.59530 + 0.963357i 0.150065 + 0.0402098i
\(575\) −3.85187 + 2.22388i −0.160634 + 0.0927421i
\(576\) 1.38963 + 2.65874i 0.0579014 + 0.110781i
\(577\) 22.9358 22.9358i 0.954829 0.954829i −0.0441943 0.999023i \(-0.514072\pi\)
0.999023 + 0.0441943i \(0.0140721\pi\)
\(578\) −15.7921 + 4.23147i −0.656864 + 0.176006i
\(579\) −3.14141 0.0659540i −0.130552 0.00274095i
\(580\) −14.1923 14.1923i −0.589304 0.589304i
\(581\) 13.1016 + 7.56421i 0.543546 + 0.313816i
\(582\) 5.77618 + 23.5213i 0.239430 + 0.974988i
\(583\) −4.40958 + 16.4568i −0.182626 + 0.681569i
\(584\) 2.89861 0.119946
\(585\) 7.99878 + 33.8374i 0.330709 + 1.39901i
\(586\) −10.6876 −0.441499
\(587\) −7.31735 + 27.3087i −0.302019 + 1.12715i 0.633462 + 0.773774i \(0.281633\pi\)
−0.935481 + 0.353377i \(0.885033\pi\)
\(588\) 0.413071 + 1.68207i 0.0170348 + 0.0693676i
\(589\) 19.4611 + 11.2358i 0.801879 + 0.462965i
\(590\) 3.35488 + 3.35488i 0.138118 + 0.138118i
\(591\) 32.3290 + 0.678748i 1.32984 + 0.0279200i
\(592\) −6.14328 + 1.64609i −0.252487 + 0.0676538i
\(593\) 20.4507 20.4507i 0.839809 0.839809i −0.149024 0.988834i \(-0.547613\pi\)
0.988834 + 0.149024i \(0.0476132\pi\)
\(594\) 10.0628 2.02751i 0.412882 0.0831897i
\(595\) 2.24584 1.29664i 0.0920705 0.0531570i
\(596\) 12.3313 + 3.30416i 0.505110 + 0.135344i
\(597\) 0.369252 1.27074i 0.0151125 0.0520081i
\(598\) −2.15235 2.10000i −0.0880163 0.0858752i
\(599\) 4.44002i 0.181414i −0.995878 0.0907071i \(-0.971087\pi\)
0.995878 0.0907071i \(-0.0289127\pi\)
\(600\) 4.78534 7.90068i 0.195361 0.322544i
\(601\) −3.92618 6.80034i −0.160152 0.277392i 0.774771 0.632242i \(-0.217865\pi\)
−0.934923 + 0.354850i \(0.884532\pi\)
\(602\) −5.86664 + 10.1613i −0.239106 + 0.414145i
\(603\) 16.9949 3.79709i 0.692084 0.154629i
\(604\) 3.88063 + 14.4827i 0.157901 + 0.589293i
\(605\) 5.90481 + 22.0371i 0.240065 + 0.895934i
\(606\) 0.218405 + 0.397323i 0.00887212 + 0.0161402i
\(607\) −15.8724 + 27.4918i −0.644240 + 1.11586i 0.340236 + 0.940340i \(0.389493\pi\)
−0.984476 + 0.175517i \(0.943840\pi\)
\(608\) −2.71007 4.69398i −0.109908 0.190366i
\(609\) −9.25030 5.60279i −0.374841 0.227036i
\(610\) 1.07233i 0.0434172i
\(611\) −19.4222 4.94871i −0.785740 0.200203i
\(612\) 1.29702 2.04335i 0.0524291 0.0825975i
\(613\) −29.5200 7.90985i −1.19230 0.319476i −0.392506 0.919750i \(-0.628392\pi\)
−0.799795 + 0.600274i \(0.795058\pi\)
\(614\) 29.2411 16.8823i 1.18007 0.681316i
\(615\) −14.3429 14.9581i −0.578363 0.603169i
\(616\) 1.39689 1.39689i 0.0562824 0.0562824i
\(617\) −5.52873 + 1.48142i −0.222578 + 0.0596397i −0.368385 0.929673i \(-0.620089\pi\)
0.145806 + 0.989313i \(0.453422\pi\)
\(618\) −0.105521 + 5.02598i −0.00424466 + 0.202175i
\(619\) 31.3461 + 31.3461i 1.25991 + 1.25991i 0.951136 + 0.308772i \(0.0999179\pi\)
0.308772 + 0.951136i \(0.400082\pi\)
\(620\) 11.5416 + 6.66357i 0.463523 + 0.267615i
\(621\) −1.38286 + 4.10713i −0.0554923 + 0.164813i
\(622\) 9.08377 33.9011i 0.364226 1.35931i
\(623\) 2.43270 0.0974641
\(624\) 6.01795 + 1.66862i 0.240911 + 0.0667984i
\(625\) 23.2245 0.928981
\(626\) −2.35025 + 8.77125i −0.0939349 + 0.350570i
\(627\) −18.0108 + 4.42297i −0.719283 + 0.176636i
\(628\) −13.5228 7.80740i −0.539619 0.311549i
\(629\) 3.62809 + 3.62809i 0.144662 + 0.144662i
\(630\) 2.88467 9.20190i 0.114928 0.366613i
\(631\) −9.16796 + 2.45655i −0.364971 + 0.0977936i −0.436644 0.899635i \(-0.643833\pi\)
0.0716729 + 0.997428i \(0.477166\pi\)
\(632\) −0.723195 + 0.723195i −0.0287671 + 0.0287671i
\(633\) −3.96684 + 3.80370i −0.157668 + 0.151184i
\(634\) −21.5828 + 12.4608i −0.857162 + 0.494883i
\(635\) 36.7107 + 9.83662i 1.45682 + 0.390354i
\(636\) 14.3444 + 4.16817i 0.568791 + 0.165279i
\(637\) 3.14446 + 1.76420i 0.124588 + 0.0699000i
\(638\) 12.3349i 0.488342i
\(639\) 28.3077 26.0253i 1.11984 1.02954i
\(640\) −1.60724 2.78383i −0.0635319 0.110040i
\(641\) −20.1937 + 34.9766i −0.797604 + 1.38149i 0.123568 + 0.992336i \(0.460566\pi\)
−0.921172 + 0.389155i \(0.872767\pi\)
\(642\) 16.9778 9.33257i 0.670061 0.368327i
\(643\) 8.16642 + 30.4775i 0.322052 + 1.20192i 0.917242 + 0.398330i \(0.130410\pi\)
−0.595190 + 0.803585i \(0.702923\pi\)
\(644\) 0.215860 + 0.805599i 0.00850606 + 0.0317451i
\(645\) 57.2479 31.4687i 2.25413 1.23908i
\(646\) −2.18634 + 3.78685i −0.0860204 + 0.148992i
\(647\) 13.8364 + 23.9654i 0.543967 + 0.942178i 0.998671 + 0.0515355i \(0.0164115\pi\)
−0.454705 + 0.890642i \(0.650255\pi\)
\(648\) −1.59206 8.85807i −0.0625421 0.347978i
\(649\) 2.91581i 0.114455i
\(650\) −5.20490 18.5103i −0.204153 0.726033i
\(651\) 6.89579 + 2.00377i 0.270267 + 0.0785339i
\(652\) −8.59318 2.30254i −0.336535 0.0901743i
\(653\) −43.1637 + 24.9206i −1.68913 + 0.975218i −0.733941 + 0.679213i \(0.762321\pi\)
−0.955186 + 0.296006i \(0.904345\pi\)
\(654\) −17.0499 + 16.3487i −0.666705 + 0.639285i
\(655\) 1.04279 1.04279i 0.0407451 0.0407451i
\(656\) −3.59530 + 0.963357i −0.140373 + 0.0376128i
\(657\) −8.29767 2.60121i −0.323723 0.101483i
\(658\) 3.93071 + 3.93071i 0.153235 + 0.153235i
\(659\) −10.8662 6.27359i −0.423286 0.244384i 0.273196 0.961958i \(-0.411919\pi\)
−0.696482 + 0.717574i \(0.745252\pi\)
\(660\) −10.6816 + 2.62310i −0.415779 + 0.102104i
\(661\) −2.82265 + 10.5343i −0.109788 + 0.409736i −0.998844 0.0480627i \(-0.984695\pi\)
0.889056 + 0.457799i \(0.151362\pi\)
\(662\) 24.1687 0.939341
\(663\) −1.26167 4.87759i −0.0489994 0.189430i
\(664\) −15.1284 −0.587097
\(665\) −4.50940 + 16.8293i −0.174867 + 0.652613i
\(666\) 19.0632 + 0.800817i 0.738682 + 0.0310310i
\(667\) −4.50986 2.60377i −0.174622 0.100818i
\(668\) −12.9248 12.9248i −0.500074 0.500074i
\(669\) −0.683442 + 32.5526i −0.0264234 + 1.25855i
\(670\) −18.0231 + 4.82928i −0.696293 + 0.186571i
\(671\) −0.465992 + 0.465992i −0.0179894 + 0.0179894i
\(672\) −1.19877 1.25018i −0.0462434 0.0482269i
\(673\) −3.52986 + 2.03796i −0.136066 + 0.0785577i −0.566488 0.824070i \(-0.691698\pi\)
0.430422 + 0.902628i \(0.358365\pi\)
\(674\) 29.3530 + 7.86511i 1.13064 + 0.302953i
\(675\) −20.7887 + 18.3224i −0.800159 + 0.705230i
\(676\) 11.0949 6.77523i 0.426726 0.260586i
\(677\) 21.6400i 0.831694i −0.909435 0.415847i \(-0.863485\pi\)
0.909435 0.415847i \(-0.136515\pi\)
\(678\) 20.3487 + 12.3249i 0.781487 + 0.473336i
\(679\) −6.99175 12.1101i −0.268319 0.464741i
\(680\) −1.29664 + 2.24584i −0.0497238 + 0.0861241i
\(681\) 8.52077 + 15.5010i 0.326517 + 0.593999i
\(682\) −2.11982 7.91128i −0.0811722 0.302939i
\(683\) −2.22255 8.29468i −0.0850436 0.317387i 0.910279 0.413996i \(-0.135867\pi\)
−0.995322 + 0.0966086i \(0.969201\pi\)
\(684\) 3.54558 + 15.8692i 0.135569 + 0.606773i
\(685\) 33.6825 58.3397i 1.28694 2.22905i
\(686\) −0.500000 0.866025i −0.0190901 0.0330650i
\(687\) −21.2176 + 35.0307i −0.809504 + 1.33650i
\(688\) 11.7333i 0.447327i
\(689\) 26.7358 15.8780i 1.01855 0.604904i
\(690\) 1.29572 4.45908i 0.0493271 0.169754i
\(691\) −9.52639 2.55259i −0.362401 0.0971051i 0.0730237 0.997330i \(-0.476735\pi\)
−0.435425 + 0.900225i \(0.643402\pi\)
\(692\) 15.8721 9.16378i 0.603368 0.348355i
\(693\) −5.25236 + 2.74523i −0.199521 + 0.104283i
\(694\) 1.32543 1.32543i 0.0503125 0.0503125i
\(695\) −58.7288 + 15.7363i −2.22771 + 0.596913i
\(696\) 10.8124 + 0.227006i 0.409842 + 0.00860466i
\(697\) 2.12331 + 2.12331i 0.0804260 + 0.0804260i
\(698\) −4.70058 2.71388i −0.177920 0.102722i
\(699\) 0.986419 + 4.01681i 0.0373098 + 0.151930i
\(700\) −1.38026 + 5.15121i −0.0521690 + 0.194698i
\(701\) −10.0189 −0.378410 −0.189205 0.981938i \(-0.560591\pi\)
−0.189205 + 0.981938i \(0.560591\pi\)
\(702\) −15.7298 10.1771i −0.593682 0.384112i
\(703\) −34.4721 −1.30014
\(704\) −0.511298 + 1.90819i −0.0192703 + 0.0719176i
\(705\) −7.38113 30.0568i −0.277990 1.13201i
\(706\) 20.8053 + 12.0120i 0.783020 + 0.452077i
\(707\) −0.185098 0.185098i −0.00696131 0.00696131i
\(708\) −2.55591 0.0536615i −0.0960570 0.00201672i
\(709\) −31.5448 + 8.45239i −1.18469 + 0.317436i −0.796784 0.604264i \(-0.793467\pi\)
−0.387904 + 0.921700i \(0.626801\pi\)
\(710\) −29.1345 + 29.1345i −1.09340 + 1.09340i
\(711\) 2.71924 1.42125i 0.101979 0.0533010i
\(712\) −2.10678 + 1.21635i −0.0789549 + 0.0455847i
\(713\) 3.33998 + 0.894946i 0.125083 + 0.0335160i
\(714\) −0.389906 + 1.34182i −0.0145919 + 0.0502165i
\(715\) −11.2031 + 19.9680i −0.418971 + 0.746762i
\(716\) 23.9245i 0.894100i
\(717\) −22.9079 + 37.8213i −0.855511 + 1.41246i
\(718\) 4.14759 + 7.18384i 0.154787 + 0.268098i
\(719\) 11.8380 20.5041i 0.441484 0.764672i −0.556316 0.830971i \(-0.687786\pi\)
0.997800 + 0.0662986i \(0.0211190\pi\)
\(720\) 2.10275 + 9.41142i 0.0783650 + 0.350743i
\(721\) −0.751194 2.80349i −0.0279759 0.104408i
\(722\) −2.68601 10.0243i −0.0999630 0.373067i
\(723\) −0.477891 0.869380i −0.0177730 0.0323326i
\(724\) −12.1958 + 21.1237i −0.453253 + 0.785057i
\(725\) −16.6492 28.8372i −0.618334 1.07099i
\(726\) −10.5147 6.36862i −0.390237 0.236362i
\(727\) 34.8435i 1.29227i 0.763222 + 0.646136i \(0.223616\pi\)
−0.763222 + 0.646136i \(0.776384\pi\)
\(728\) −3.60528 + 0.0443903i −0.133620 + 0.00164521i
\(729\) −3.39171 + 26.7861i −0.125619 + 0.992079i
\(730\) 9.00007 + 2.41156i 0.333108 + 0.0892559i
\(731\) −8.19761 + 4.73289i −0.303199 + 0.175052i
\(732\) 0.399899 + 0.417050i 0.0147807 + 0.0154146i
\(733\) 4.06240 4.06240i 0.150048 0.150048i −0.628091 0.778140i \(-0.716164\pi\)
0.778140 + 0.628091i \(0.216164\pi\)
\(734\) −5.58844 + 1.49742i −0.206273 + 0.0552707i
\(735\) −0.116867 + 5.56643i −0.00431072 + 0.205321i
\(736\) −0.589740 0.589740i −0.0217381 0.0217381i
\(737\) 9.93077 + 5.73353i 0.365805 + 0.211197i
\(738\) 11.1565 + 0.468671i 0.410678 + 0.0172520i
\(739\) 5.85651 21.8568i 0.215435 0.804015i −0.770578 0.637346i \(-0.780032\pi\)
0.986013 0.166669i \(-0.0533012\pi\)
\(740\) −20.4441 −0.751540
\(741\) 29.1659 + 17.1782i 1.07144 + 0.631057i
\(742\) −8.62427 −0.316607
\(743\) 3.24612 12.1147i 0.119089 0.444444i −0.880472 0.474099i \(-0.842774\pi\)
0.999560 + 0.0296543i \(0.00944064\pi\)
\(744\) −6.97381 + 1.71258i −0.255672 + 0.0627861i
\(745\) 35.5392 + 20.5185i 1.30205 + 0.751741i
\(746\) −26.5918 26.5918i −0.973594 0.973594i
\(747\) 43.3071 + 13.5762i 1.58453 + 0.496727i
\(748\) 1.53943 0.412488i 0.0562870 0.0150820i
\(749\) −7.90931 + 7.90931i −0.289000 + 0.289000i
\(750\) 1.33793 1.28291i 0.0488544 0.0468452i
\(751\) 13.9581 8.05870i 0.509337 0.294066i −0.223224 0.974767i \(-0.571658\pi\)
0.732561 + 0.680701i \(0.238325\pi\)
\(752\) −5.36945 1.43874i −0.195804 0.0524655i
\(753\) −14.0364 4.07868i −0.511514 0.148635i
\(754\) 15.7217 16.1137i 0.572551 0.586826i
\(755\) 48.1967i 1.75406i
\(756\) 2.30972 + 4.65459i 0.0840038 + 0.169286i
\(757\) 11.7925 + 20.4253i 0.428607 + 0.742369i 0.996750 0.0805613i \(-0.0256713\pi\)
−0.568143 + 0.822930i \(0.692338\pi\)
\(758\) −8.22688 + 14.2494i −0.298814 + 0.517560i
\(759\) −2.50081 + 1.37468i −0.0907738 + 0.0498977i
\(760\) −4.50940 16.8293i −0.163573 0.610463i
\(761\) 3.36919 + 12.5740i 0.122133 + 0.455807i 0.999721 0.0236084i \(-0.00751549\pi\)
−0.877588 + 0.479415i \(0.840849\pi\)
\(762\) −17.9459 + 9.86474i −0.650112 + 0.357362i
\(763\) 6.81897 11.8108i 0.246863 0.427580i
\(764\) −11.8214 20.4753i −0.427685 0.740772i
\(765\) 5.72721 5.26543i 0.207068 0.190372i
\(766\) 33.4213i 1.20756i
\(767\) −3.71641 + 3.80907i −0.134192 + 0.137538i
\(768\) 1.66325 + 0.483307i 0.0600175 + 0.0174398i
\(769\) 3.86673 + 1.03609i 0.139438 + 0.0373623i 0.327863 0.944725i \(-0.393672\pi\)
−0.188425 + 0.982088i \(0.560338\pi\)
\(770\) 5.49946 3.17512i 0.198187 0.114423i
\(771\) −2.99143 + 2.86841i −0.107734 + 0.103303i
\(772\) −1.28276 + 1.28276i −0.0461674 + 0.0461674i
\(773\) 1.12750 0.302113i 0.0405534 0.0108662i −0.238485 0.971146i \(-0.576651\pi\)
0.279039 + 0.960280i