Properties

Label 171.2.x.a.110.12
Level $171$
Weight $2$
Character 171.110
Analytic conductor $1.365$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.x (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 110.12
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.469442 - 0.393909i) q^{2} +(1.72885 - 0.105209i) q^{3} +(-0.282084 + 1.59978i) q^{4} +(-0.821139 + 2.25606i) q^{5} +(0.770154 - 0.730400i) q^{6} +(-0.676894 - 1.17241i) q^{7} +(1.11056 + 1.92354i) q^{8} +(2.97786 - 0.363781i) q^{9} +O(q^{10})\) \(q+(0.469442 - 0.393909i) q^{2} +(1.72885 - 0.105209i) q^{3} +(-0.282084 + 1.59978i) q^{4} +(-0.821139 + 2.25606i) q^{5} +(0.770154 - 0.730400i) q^{6} +(-0.676894 - 1.17241i) q^{7} +(1.11056 + 1.92354i) q^{8} +(2.97786 - 0.363781i) q^{9} +(0.503205 + 1.38254i) q^{10} +0.212949i q^{11} +(-0.319372 + 2.79546i) q^{12} +(-2.01801 - 5.54444i) q^{13} +(-0.779587 - 0.283747i) q^{14} +(-1.18227 + 3.98679i) q^{15} +(-1.77394 - 0.645662i) q^{16} +(0.897444 - 2.46571i) q^{17} +(1.25464 - 1.34378i) q^{18} +(-0.154798 - 4.35615i) q^{19} +(-3.37757 - 1.95004i) q^{20} +(-1.29360 - 1.95572i) q^{21} +(0.0838824 + 0.0999672i) q^{22} +(1.61574 + 0.284898i) q^{23} +(2.12237 + 3.20868i) q^{24} +(-0.585319 - 0.491141i) q^{25} +(-3.13134 - 1.80788i) q^{26} +(5.11001 - 0.942220i) q^{27} +(2.06655 - 0.752162i) q^{28} +(-0.914202 + 5.18470i) q^{29} +(1.01542 + 2.33727i) q^{30} -3.57339i q^{31} +(-5.26143 + 1.91500i) q^{32} +(0.0224041 + 0.368157i) q^{33} +(-0.549965 - 1.51102i) q^{34} +(3.20086 - 0.564398i) q^{35} +(-0.258040 + 4.86654i) q^{36} +8.01979i q^{37} +(-1.78859 - 1.98398i) q^{38} +(-4.07217 - 9.37321i) q^{39} +(-5.25156 + 0.925991i) q^{40} +(-6.91883 + 5.80559i) q^{41} +(-1.37764 - 0.408537i) q^{42} +(-0.233045 - 1.32166i) q^{43} +(-0.340671 - 0.0600696i) q^{44} +(-1.62453 + 7.01695i) q^{45} +(0.870720 - 0.502711i) q^{46} +(2.80328 + 0.494293i) q^{47} +(-3.13481 - 0.929620i) q^{48} +(2.58363 - 4.47498i) q^{49} -0.468238 q^{50} +(1.29213 - 4.35726i) q^{51} +(9.43914 - 1.66438i) q^{52} +(-7.65410 - 6.42256i) q^{53} +(2.02771 - 2.45520i) q^{54} +(-0.480426 - 0.174861i) q^{55} +(1.50346 - 2.60407i) q^{56} +(-0.725928 - 7.51485i) q^{57} +(1.61313 + 2.79403i) q^{58} +(1.30385 + 7.39448i) q^{59} +(-6.04448 - 3.01599i) q^{60} +(-4.70028 + 1.71076i) q^{61} +(-1.40759 - 1.67750i) q^{62} +(-2.44220 - 3.24505i) q^{63} +(0.172188 - 0.298239i) q^{64} +14.1657 q^{65} +(0.155538 + 0.164003i) q^{66} +(-6.37567 + 7.59823i) q^{67} +(3.69143 + 2.13125i) q^{68} +(2.82335 + 0.322558i) q^{69} +(1.28030 - 1.52580i) q^{70} +(-7.93377 + 6.65722i) q^{71} +(4.00684 + 5.32405i) q^{72} +(-1.33247 - 7.55679i) q^{73} +(3.15906 + 3.76483i) q^{74} +(-1.06360 - 0.787530i) q^{75} +(7.01255 + 0.981159i) q^{76} +(0.249664 - 0.144144i) q^{77} +(-5.60384 - 2.79612i) q^{78} +(-1.92202 + 5.28069i) q^{79} +(2.91331 - 3.47194i) q^{80} +(8.73533 - 2.16658i) q^{81} +(-0.961119 + 5.45078i) q^{82} +(14.1234 - 8.15413i) q^{83} +(3.49362 - 1.51780i) q^{84} +(4.82586 + 4.04937i) q^{85} +(-0.630016 - 0.528646i) q^{86} +(-1.03505 + 9.05976i) q^{87} +(-0.409617 + 0.236492i) q^{88} +(-0.680140 + 3.85727i) q^{89} +(2.00142 + 3.93397i) q^{90} +(-5.13440 + 6.11895i) q^{91} +(-0.911550 + 2.50446i) q^{92} +(-0.375951 - 6.17786i) q^{93} +(1.51068 - 0.872193i) q^{94} +(9.95485 + 3.22777i) q^{95} +(-8.89476 + 3.86431i) q^{96} +(4.16363 + 4.96202i) q^{97} +(-0.549868 - 3.11846i) q^{98} +(0.0774666 + 0.634132i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 36 q^{15} - 9 q^{16} + 27 q^{17} + 36 q^{18} - 15 q^{19} - 18 q^{20} + 3 q^{21} + 30 q^{22} - 45 q^{23} - 21 q^{24} - 3 q^{25} - 72 q^{26} - 36 q^{28} - 9 q^{29} - 21 q^{30} - 9 q^{32} - 6 q^{33} + 33 q^{34} + 45 q^{35} + 18 q^{36} - 9 q^{38} - 18 q^{39} + 15 q^{40} - 9 q^{41} + 15 q^{42} + 9 q^{43} - 63 q^{44} + 33 q^{45} - 18 q^{46} - 9 q^{47} + 3 q^{48} - 15 q^{49} + 126 q^{50} + 39 q^{51} - 39 q^{52} - 51 q^{54} + 3 q^{55} + 63 q^{56} - 78 q^{57} - 6 q^{58} + 36 q^{59} - 75 q^{60} - 24 q^{61} + 18 q^{62} - 9 q^{63} - 18 q^{65} + 159 q^{66} - 63 q^{67} + 54 q^{68} - 9 q^{69} + 39 q^{70} + 141 q^{72} - 45 q^{73} - 117 q^{74} - 3 q^{76} - 18 q^{77} + 27 q^{78} + 3 q^{79} + 126 q^{80} - 60 q^{81} - 3 q^{82} + 27 q^{83} - 117 q^{84} - 3 q^{85} - 171 q^{86} + 15 q^{87} - 9 q^{88} + 54 q^{89} - 21 q^{90} - 9 q^{91} - 27 q^{92} + 42 q^{93} + 99 q^{95} + 207 q^{96} - 57 q^{97} - 27 q^{98} + 39 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.469442 0.393909i 0.331946 0.278536i −0.461546 0.887116i \(-0.652705\pi\)
0.793492 + 0.608580i \(0.208261\pi\)
\(3\) 1.72885 0.105209i 0.998153 0.0607422i
\(4\) −0.282084 + 1.59978i −0.141042 + 0.799890i
\(5\) −0.821139 + 2.25606i −0.367225 + 1.00894i 0.609188 + 0.793026i \(0.291496\pi\)
−0.976412 + 0.215915i \(0.930727\pi\)
\(6\) 0.770154 0.730400i 0.314414 0.298184i
\(7\) −0.676894 1.17241i −0.255842 0.443131i 0.709282 0.704925i \(-0.249019\pi\)
−0.965124 + 0.261794i \(0.915686\pi\)
\(8\) 1.11056 + 1.92354i 0.392642 + 0.680076i
\(9\) 2.97786 0.363781i 0.992621 0.121260i
\(10\) 0.503205 + 1.38254i 0.159127 + 0.437199i
\(11\) 0.212949i 0.0642065i 0.999485 + 0.0321032i \(0.0102205\pi\)
−0.999485 + 0.0321032i \(0.989779\pi\)
\(12\) −0.319372 + 2.79546i −0.0921947 + 0.806980i
\(13\) −2.01801 5.54444i −0.559696 1.53775i −0.820081 0.572247i \(-0.806072\pi\)
0.260386 0.965505i \(-0.416150\pi\)
\(14\) −0.779587 0.283747i −0.208353 0.0758344i
\(15\) −1.18227 + 3.98679i −0.305261 + 1.02938i
\(16\) −1.77394 0.645662i −0.443485 0.161415i
\(17\) 0.897444 2.46571i 0.217662 0.598022i −0.782020 0.623254i \(-0.785810\pi\)
0.999682 + 0.0252323i \(0.00803255\pi\)
\(18\) 1.25464 1.34378i 0.295721 0.316732i
\(19\) −0.154798 4.35615i −0.0355132 0.999369i
\(20\) −3.37757 1.95004i −0.755248 0.436043i
\(21\) −1.29360 1.95572i −0.282286 0.426772i
\(22\) 0.0838824 + 0.0999672i 0.0178838 + 0.0213131i
\(23\) 1.61574 + 0.284898i 0.336905 + 0.0594054i 0.339541 0.940591i \(-0.389728\pi\)
−0.00263654 + 0.999997i \(0.500839\pi\)
\(24\) 2.12237 + 3.20868i 0.433226 + 0.654970i
\(25\) −0.585319 0.491141i −0.117064 0.0982282i
\(26\) −3.13134 1.80788i −0.614107 0.354555i
\(27\) 5.11001 0.942220i 0.983422 0.181330i
\(28\) 2.06655 0.752162i 0.390541 0.142145i
\(29\) −0.914202 + 5.18470i −0.169763 + 0.962774i 0.774253 + 0.632876i \(0.218126\pi\)
−0.944016 + 0.329899i \(0.892985\pi\)
\(30\) 1.01542 + 2.33727i 0.185390 + 0.426726i
\(31\) 3.57339i 0.641800i −0.947113 0.320900i \(-0.896015\pi\)
0.947113 0.320900i \(-0.103985\pi\)
\(32\) −5.26143 + 1.91500i −0.930098 + 0.338528i
\(33\) 0.0224041 + 0.368157i 0.00390005 + 0.0640879i
\(34\) −0.549965 1.51102i −0.0943183 0.259137i
\(35\) 3.20086 0.564398i 0.541045 0.0954008i
\(36\) −0.258040 + 4.86654i −0.0430066 + 0.811091i
\(37\) 8.01979i 1.31844i 0.751948 + 0.659222i \(0.229114\pi\)
−0.751948 + 0.659222i \(0.770886\pi\)
\(38\) −1.78859 1.98398i −0.290148 0.321845i
\(39\) −4.07217 9.37321i −0.652069 1.50091i
\(40\) −5.25156 + 0.925991i −0.830344 + 0.146412i
\(41\) −6.91883 + 5.80559i −1.08054 + 0.906681i −0.995966 0.0897363i \(-0.971398\pi\)
−0.0845746 + 0.996417i \(0.526953\pi\)
\(42\) −1.37764 0.408537i −0.212575 0.0630386i
\(43\) −0.233045 1.32166i −0.0355390 0.201552i 0.961868 0.273512i \(-0.0881855\pi\)
−0.997407 + 0.0719608i \(0.977074\pi\)
\(44\) −0.340671 0.0600696i −0.0513582 0.00905583i
\(45\) −1.62453 + 7.01695i −0.242170 + 1.04603i
\(46\) 0.870720 0.502711i 0.128381 0.0741206i
\(47\) 2.80328 + 0.494293i 0.408900 + 0.0721000i 0.374315 0.927302i \(-0.377878\pi\)
0.0345849 + 0.999402i \(0.488989\pi\)
\(48\) −3.13481 0.929620i −0.452471 0.134179i
\(49\) 2.58363 4.47498i 0.369090 0.639282i
\(50\) −0.468238 −0.0662189
\(51\) 1.29213 4.35726i 0.180935 0.610139i
\(52\) 9.43914 1.66438i 1.30897 0.230807i
\(53\) −7.65410 6.42256i −1.05137 0.882206i −0.0581349 0.998309i \(-0.518515\pi\)
−0.993237 + 0.116103i \(0.962960\pi\)
\(54\) 2.02771 2.45520i 0.275936 0.334110i
\(55\) −0.480426 0.174861i −0.0647806 0.0235782i
\(56\) 1.50346 2.60407i 0.200908 0.347984i
\(57\) −0.725928 7.51485i −0.0961515 0.995367i
\(58\) 1.61313 + 2.79403i 0.211815 + 0.366874i
\(59\) 1.30385 + 7.39448i 0.169746 + 0.962679i 0.944035 + 0.329846i \(0.106997\pi\)
−0.774288 + 0.632833i \(0.781892\pi\)
\(60\) −6.04448 3.01599i −0.780340 0.389362i
\(61\) −4.70028 + 1.71076i −0.601810 + 0.219041i −0.624916 0.780692i \(-0.714867\pi\)
0.0231061 + 0.999733i \(0.492644\pi\)
\(62\) −1.40759 1.67750i −0.178764 0.213043i
\(63\) −2.44220 3.24505i −0.307688 0.408838i
\(64\) 0.172188 0.298239i 0.0215235 0.0372798i
\(65\) 14.1657 1.75703
\(66\) 0.155538 + 0.164003i 0.0191454 + 0.0201874i
\(67\) −6.37567 + 7.59823i −0.778912 + 0.928271i −0.998884 0.0472352i \(-0.984959\pi\)
0.219972 + 0.975506i \(0.429403\pi\)
\(68\) 3.69143 + 2.13125i 0.447652 + 0.258452i
\(69\) 2.82335 + 0.322558i 0.339891 + 0.0388314i
\(70\) 1.28030 1.52580i 0.153025 0.182368i
\(71\) −7.93377 + 6.65722i −0.941565 + 0.790067i −0.977857 0.209274i \(-0.932890\pi\)
0.0362918 + 0.999341i \(0.488445\pi\)
\(72\) 4.00684 + 5.32405i 0.472210 + 0.627445i
\(73\) −1.33247 7.55679i −0.155953 0.884455i −0.957909 0.287072i \(-0.907318\pi\)
0.801956 0.597383i \(-0.203793\pi\)
\(74\) 3.15906 + 3.76483i 0.367234 + 0.437652i
\(75\) −1.06360 0.787530i −0.122814 0.0909361i
\(76\) 7.01255 + 0.981159i 0.804395 + 0.112547i
\(77\) 0.249664 0.144144i 0.0284519 0.0164267i
\(78\) −5.60384 2.79612i −0.634510 0.316598i
\(79\) −1.92202 + 5.28069i −0.216244 + 0.594125i −0.999624 0.0274180i \(-0.991271\pi\)
0.783380 + 0.621543i \(0.213494\pi\)
\(80\) 2.91331 3.47194i 0.325717 0.388175i
\(81\) 8.73533 2.16658i 0.970592 0.240731i
\(82\) −0.961119 + 5.45078i −0.106138 + 0.601938i
\(83\) 14.1234 8.15413i 1.55024 0.895032i 0.552119 0.833765i \(-0.313819\pi\)
0.998121 0.0612667i \(-0.0195140\pi\)
\(84\) 3.49362 1.51780i 0.381185 0.165605i
\(85\) 4.82586 + 4.04937i 0.523438 + 0.439216i
\(86\) −0.630016 0.528646i −0.0679363 0.0570054i
\(87\) −1.03505 + 9.05976i −0.110969 + 0.971308i
\(88\) −0.409617 + 0.236492i −0.0436653 + 0.0252102i
\(89\) −0.680140 + 3.85727i −0.0720947 + 0.408869i 0.927308 + 0.374300i \(0.122117\pi\)
−0.999402 + 0.0345692i \(0.988994\pi\)
\(90\) 2.00142 + 3.93397i 0.210968 + 0.414677i
\(91\) −5.13440 + 6.11895i −0.538232 + 0.641440i
\(92\) −0.911550 + 2.50446i −0.0950356 + 0.261108i
\(93\) −0.375951 6.17786i −0.0389844 0.640615i
\(94\) 1.51068 0.872193i 0.155815 0.0899598i
\(95\) 9.95485 + 3.22777i 1.02135 + 0.331162i
\(96\) −8.89476 + 3.86431i −0.907818 + 0.394399i
\(97\) 4.16363 + 4.96202i 0.422753 + 0.503817i 0.934817 0.355130i \(-0.115563\pi\)
−0.512064 + 0.858947i \(0.671119\pi\)
\(98\) −0.549868 3.11846i −0.0555451 0.315012i
\(99\) 0.0774666 + 0.634132i 0.00778569 + 0.0637327i
\(100\) 0.950827 0.797839i 0.0950827 0.0797839i
\(101\) 0.214724 0.255898i 0.0213659 0.0254628i −0.755256 0.655430i \(-0.772487\pi\)
0.776622 + 0.629967i \(0.216932\pi\)
\(102\) −1.10978 2.55447i −0.109885 0.252930i
\(103\) 10.2900 + 5.94094i 1.01390 + 0.585378i 0.912333 0.409450i \(-0.134279\pi\)
0.101572 + 0.994828i \(0.467613\pi\)
\(104\) 8.42386 10.0392i 0.826027 0.984421i
\(105\) 5.47444 1.31252i 0.534251 0.128089i
\(106\) −6.12306 −0.594724
\(107\) 9.58046 16.5938i 0.926178 1.60419i 0.136522 0.990637i \(-0.456408\pi\)
0.789656 0.613550i \(-0.210259\pi\)
\(108\) 0.0658898 + 8.44068i 0.00634025 + 0.812205i
\(109\) −8.42729 10.0433i −0.807188 0.961970i 0.192625 0.981272i \(-0.438300\pi\)
−0.999814 + 0.0193028i \(0.993855\pi\)
\(110\) −0.294411 + 0.107157i −0.0280710 + 0.0102170i
\(111\) 0.843751 + 13.8650i 0.0800853 + 1.31601i
\(112\) 0.443787 + 2.51684i 0.0419339 + 0.237819i
\(113\) −8.50021 14.7228i −0.799632 1.38500i −0.919856 0.392257i \(-0.871694\pi\)
0.120223 0.992747i \(-0.461639\pi\)
\(114\) −3.30095 3.24184i −0.309162 0.303626i
\(115\) −1.96949 + 3.41126i −0.183656 + 0.318102i
\(116\) −8.03650 2.92505i −0.746170 0.271584i
\(117\) −8.02632 15.7765i −0.742034 1.45854i
\(118\) 3.52483 + 2.95769i 0.324487 + 0.272277i
\(119\) −3.49830 + 0.616845i −0.320689 + 0.0565461i
\(120\) −8.98174 + 2.15341i −0.819917 + 0.196579i
\(121\) 10.9547 0.995878
\(122\) −1.53263 + 2.65459i −0.138758 + 0.240335i
\(123\) −11.3508 + 10.7649i −1.02347 + 0.970641i
\(124\) 5.71664 + 1.00800i 0.513369 + 0.0905209i
\(125\) −8.80731 + 5.08490i −0.787750 + 0.454808i
\(126\) −2.42472 0.561359i −0.216012 0.0500099i
\(127\) 3.40423 + 0.600258i 0.302077 + 0.0532643i 0.322632 0.946524i \(-0.395432\pi\)
−0.0205553 + 0.999789i \(0.506543\pi\)
\(128\) −1.98119 11.2359i −0.175114 0.993123i
\(129\) −0.541950 2.26044i −0.0477161 0.199021i
\(130\) 6.64996 5.57998i 0.583240 0.489397i
\(131\) 9.62379 1.69693i 0.840835 0.148262i 0.263388 0.964690i \(-0.415160\pi\)
0.577447 + 0.816428i \(0.304049\pi\)
\(132\) −0.595291 0.0680098i −0.0518134 0.00591950i
\(133\) −5.00243 + 3.13014i −0.433766 + 0.271417i
\(134\) 6.07836i 0.525090i
\(135\) −2.07032 + 12.3022i −0.178185 + 1.05880i
\(136\) 5.73956 1.01204i 0.492163 0.0867816i
\(137\) 5.77948 + 15.8790i 0.493774 + 1.35663i 0.897201 + 0.441622i \(0.145597\pi\)
−0.403427 + 0.915012i \(0.632181\pi\)
\(138\) 1.45246 0.960720i 0.123641 0.0817819i
\(139\) −19.5422 + 7.11276i −1.65754 + 0.603297i −0.989974 0.141250i \(-0.954888\pi\)
−0.667570 + 0.744547i \(0.732666\pi\)
\(140\) 5.27989i 0.446232i
\(141\) 4.89845 + 0.559631i 0.412524 + 0.0471294i
\(142\) −1.10211 + 6.25036i −0.0924868 + 0.524519i
\(143\) 1.18068 0.429733i 0.0987336 0.0359361i
\(144\) −5.51743 1.27737i −0.459786 0.106447i
\(145\) −10.9463 6.31985i −0.909042 0.524835i
\(146\) −3.60220 3.02261i −0.298120 0.250153i
\(147\) 3.99591 8.00840i 0.329577 0.660521i
\(148\) −12.8299 2.26226i −1.05461 0.185956i
\(149\) −7.27209 8.66654i −0.595753 0.709991i 0.380948 0.924597i \(-0.375598\pi\)
−0.976701 + 0.214606i \(0.931153\pi\)
\(150\) −0.809515 + 0.0492627i −0.0660966 + 0.00402229i
\(151\) 10.6353 + 6.14027i 0.865485 + 0.499688i 0.865845 0.500312i \(-0.166781\pi\)
−0.000360371 1.00000i \(0.500115\pi\)
\(152\) 8.20733 5.13552i 0.665703 0.416546i
\(153\) 1.77549 7.66901i 0.143540 0.620002i
\(154\) 0.0604235 0.166012i 0.00486906 0.0133776i
\(155\) 8.06178 + 2.93425i 0.647538 + 0.235685i
\(156\) 16.1438 3.87054i 1.29254 0.309891i
\(157\) −4.54760 1.65519i −0.362938 0.132098i 0.154113 0.988053i \(-0.450748\pi\)
−0.517051 + 0.855955i \(0.672970\pi\)
\(158\) 1.17784 + 3.23608i 0.0937037 + 0.257449i
\(159\) −13.9085 10.2984i −1.10302 0.816714i
\(160\) 13.4426i 1.06273i
\(161\) −0.759665 2.08716i −0.0598700 0.164491i
\(162\) 3.24730 4.45801i 0.255132 0.350254i
\(163\) 5.44633 + 9.43332i 0.426589 + 0.738874i 0.996567 0.0827855i \(-0.0263816\pi\)
−0.569978 + 0.821660i \(0.693048\pi\)
\(164\) −7.33597 12.7063i −0.572843 0.992194i
\(165\) −0.848982 0.251763i −0.0660931 0.0195997i
\(166\) 3.41812 9.39121i 0.265298 0.728899i
\(167\) −3.48347 + 19.7558i −0.269559 + 1.52875i 0.486171 + 0.873864i \(0.338393\pi\)
−0.755730 + 0.654883i \(0.772718\pi\)
\(168\) 2.32529 4.66023i 0.179400 0.359545i
\(169\) −16.7099 + 14.0213i −1.28538 + 1.07856i
\(170\) 3.86055 0.296090
\(171\) −2.04565 12.9157i −0.156435 0.987688i
\(172\) 2.18011 0.166232
\(173\) −5.47511 + 4.59417i −0.416265 + 0.349288i −0.826740 0.562584i \(-0.809807\pi\)
0.410475 + 0.911872i \(0.365363\pi\)
\(174\) 3.08283 + 4.66075i 0.233708 + 0.353330i
\(175\) −0.179622 + 1.01869i −0.0135781 + 0.0770055i
\(176\) 0.137493 0.377759i 0.0103639 0.0284746i
\(177\) 3.03212 + 12.6468i 0.227908 + 0.950591i
\(178\) 1.20012 + 2.07868i 0.0899531 + 0.155803i
\(179\) 0.552620 + 0.957166i 0.0413048 + 0.0715419i 0.885939 0.463802i \(-0.153515\pi\)
−0.844634 + 0.535344i \(0.820182\pi\)
\(180\) −10.7673 4.57826i −0.802549 0.341243i
\(181\) −1.96608 5.40177i −0.146138 0.401510i 0.844929 0.534879i \(-0.179643\pi\)
−0.991066 + 0.133369i \(0.957421\pi\)
\(182\) 4.89498i 0.362840i
\(183\) −7.94611 + 3.45217i −0.587393 + 0.255192i
\(184\) 1.24636 + 3.42434i 0.0918828 + 0.252446i
\(185\) −18.0931 6.58536i −1.33023 0.484165i
\(186\) −2.61000 2.75206i −0.191375 0.201791i
\(187\) 0.525069 + 0.191110i 0.0383969 + 0.0139753i
\(188\) −1.58152 + 4.34519i −0.115344 + 0.316906i
\(189\) −4.56361 5.35327i −0.331954 0.389393i
\(190\) 5.94467 2.40605i 0.431272 0.174553i
\(191\) −6.92801 3.99989i −0.501293 0.289422i 0.227954 0.973672i \(-0.426796\pi\)
−0.729247 + 0.684250i \(0.760130\pi\)
\(192\) 0.266311 0.533726i 0.0192193 0.0385184i
\(193\) −5.85776 6.98100i −0.421651 0.502504i 0.512844 0.858482i \(-0.328592\pi\)
−0.934494 + 0.355978i \(0.884148\pi\)
\(194\) 3.90917 + 0.689292i 0.280662 + 0.0494883i
\(195\) 24.4903 1.49035i 1.75379 0.106726i
\(196\) 6.43018 + 5.39556i 0.459299 + 0.385397i
\(197\) −2.20914 1.27545i −0.157394 0.0908717i 0.419234 0.907878i \(-0.362299\pi\)
−0.576629 + 0.817006i \(0.695632\pi\)
\(198\) 0.286156 + 0.267174i 0.0203363 + 0.0189872i
\(199\) 2.04453 0.744147i 0.144933 0.0527512i −0.268535 0.963270i \(-0.586540\pi\)
0.413468 + 0.910519i \(0.364317\pi\)
\(200\) 0.294700 1.67133i 0.0208385 0.118181i
\(201\) −10.2232 + 13.8070i −0.721088 + 0.973870i
\(202\) 0.204711i 0.0144034i
\(203\) 6.69744 2.43767i 0.470068 0.171091i
\(204\) 6.60617 + 3.29625i 0.462524 + 0.230783i
\(205\) −7.41644 20.3765i −0.517987 1.42316i
\(206\) 7.17075 1.26440i 0.499610 0.0880947i
\(207\) 4.91509 + 0.260614i 0.341622 + 0.0181139i
\(208\) 11.1385i 0.772314i
\(209\) 0.927637 0.0329641i 0.0641660 0.00228018i
\(210\) 2.05292 2.77258i 0.141665 0.191326i
\(211\) 5.67921 1.00140i 0.390973 0.0689391i 0.0252939 0.999680i \(-0.491948\pi\)
0.365679 + 0.930741i \(0.380837\pi\)
\(212\) 12.4338 10.4332i 0.853956 0.716554i
\(213\) −13.0159 + 12.3441i −0.891836 + 0.845801i
\(214\) −2.03899 11.5637i −0.139382 0.790477i
\(215\) 3.17311 + 0.559505i 0.216405 + 0.0381580i
\(216\) 7.48737 + 8.78294i 0.509451 + 0.597604i
\(217\) −4.18949 + 2.41881i −0.284401 + 0.164199i
\(218\) −7.91226 1.39514i −0.535886 0.0944911i
\(219\) −3.09868 12.9244i −0.209389 0.873349i
\(220\) 0.415259 0.719250i 0.0279968 0.0484918i
\(221\) −15.4820 −1.04143
\(222\) 5.85765 + 6.17647i 0.393140 + 0.414538i
\(223\) 20.6749 3.64555i 1.38449 0.244124i 0.568738 0.822519i \(-0.307432\pi\)
0.815757 + 0.578395i \(0.196321\pi\)
\(224\) 5.80661 + 4.87232i 0.387970 + 0.325546i
\(225\) −1.92167 1.24962i −0.128111 0.0833082i
\(226\) −9.78980 3.56319i −0.651208 0.237020i
\(227\) −8.24758 + 14.2852i −0.547411 + 0.948144i 0.451040 + 0.892504i \(0.351053\pi\)
−0.998451 + 0.0556402i \(0.982280\pi\)
\(228\) 12.2269 + 0.958498i 0.809746 + 0.0634781i
\(229\) −2.42135 4.19390i −0.160007 0.277140i 0.774864 0.632128i \(-0.217818\pi\)
−0.934871 + 0.354988i \(0.884485\pi\)
\(230\) 0.419163 + 2.37719i 0.0276388 + 0.156747i
\(231\) 0.416468 0.275470i 0.0274016 0.0181246i
\(232\) −10.9883 + 3.99940i −0.721415 + 0.262574i
\(233\) 10.7581 + 12.8210i 0.704786 + 0.839932i 0.993059 0.117617i \(-0.0375254\pi\)
−0.288273 + 0.957548i \(0.593081\pi\)
\(234\) −9.98239 4.24450i −0.652569 0.277472i
\(235\) −3.41703 + 5.91848i −0.222903 + 0.386079i
\(236\) −12.1973 −0.793979
\(237\) −2.76731 + 9.33175i −0.179756 + 0.606163i
\(238\) −1.39927 + 1.66759i −0.0907013 + 0.108094i
\(239\) −1.63304 0.942835i −0.105632 0.0609870i 0.446253 0.894907i \(-0.352758\pi\)
−0.551886 + 0.833920i \(0.686091\pi\)
\(240\) 4.67140 6.30898i 0.301537 0.407243i
\(241\) 13.8818 16.5437i 0.894206 1.06567i −0.103268 0.994654i \(-0.532930\pi\)
0.997475 0.0710202i \(-0.0226255\pi\)
\(242\) 5.14258 4.31513i 0.330577 0.277387i
\(243\) 14.8742 4.66472i 0.954177 0.299242i
\(244\) −1.41097 8.00200i −0.0903280 0.512276i
\(245\) 7.97430 + 9.50340i 0.509459 + 0.607150i
\(246\) −1.08816 + 9.52471i −0.0693788 + 0.607273i
\(247\) −23.8400 + 9.64903i −1.51690 + 0.613953i
\(248\) 6.87357 3.96846i 0.436472 0.251997i
\(249\) 23.5593 15.5832i 1.49301 0.987544i
\(250\) −2.13154 + 5.85635i −0.134810 + 0.370388i
\(251\) −2.14692 + 2.55860i −0.135512 + 0.161497i −0.829533 0.558458i \(-0.811393\pi\)
0.694020 + 0.719955i \(0.255838\pi\)
\(252\) 5.88027 2.99160i 0.370422 0.188453i
\(253\) −0.0606688 + 0.344070i −0.00381421 + 0.0216315i
\(254\) 1.83454 1.05917i 0.115109 0.0664583i
\(255\) 8.76922 + 6.49305i 0.549150 + 0.406611i
\(256\) −4.82836 4.05148i −0.301773 0.253217i
\(257\) 5.04333 + 4.23186i 0.314594 + 0.263976i 0.786388 0.617733i \(-0.211949\pi\)
−0.471793 + 0.881709i \(0.656393\pi\)
\(258\) −1.14482 0.847668i −0.0712735 0.0527735i
\(259\) 9.40252 5.42855i 0.584244 0.337313i
\(260\) −3.99591 + 22.6620i −0.247816 + 1.40543i
\(261\) −0.836276 + 15.7719i −0.0517642 + 0.976255i
\(262\) 3.84938 4.58751i 0.237815 0.283417i
\(263\) −1.92918 + 5.30037i −0.118958 + 0.326835i −0.984853 0.173391i \(-0.944528\pi\)
0.865895 + 0.500226i \(0.166750\pi\)
\(264\) −0.683286 + 0.451955i −0.0420533 + 0.0278159i
\(265\) 20.7748 11.9943i 1.27618 0.736805i
\(266\) −1.11536 + 3.43992i −0.0683873 + 0.210915i
\(267\) −0.770044 + 6.74020i −0.0471259 + 0.412494i
\(268\) −10.3570 12.3430i −0.632655 0.753969i
\(269\) 0.178129 + 1.01022i 0.0108607 + 0.0615942i 0.989756 0.142766i \(-0.0455997\pi\)
−0.978896 + 0.204360i \(0.934489\pi\)
\(270\) 3.87404 + 6.59069i 0.235767 + 0.401097i
\(271\) 21.3831 17.9426i 1.29893 1.08993i 0.308604 0.951191i \(-0.400138\pi\)
0.990328 0.138743i \(-0.0443062\pi\)
\(272\) −3.18402 + 3.79457i −0.193060 + 0.230080i
\(273\) −8.23286 + 11.1189i −0.498276 + 0.672949i
\(274\) 8.96801 + 5.17768i 0.541777 + 0.312795i
\(275\) 0.104588 0.124643i 0.00630689 0.00751626i
\(276\) −1.31244 + 4.42575i −0.0789999 + 0.266399i
\(277\) 24.0100 1.44262 0.721312 0.692610i \(-0.243539\pi\)
0.721312 + 0.692610i \(0.243539\pi\)
\(278\) −6.37213 + 11.0369i −0.382175 + 0.661947i
\(279\) −1.29993 10.6411i −0.0778247 0.637064i
\(280\) 4.64039 + 5.53020i 0.277316 + 0.330493i
\(281\) −9.92863 + 3.61372i −0.592292 + 0.215577i −0.620737 0.784019i \(-0.713167\pi\)
0.0284451 + 0.999595i \(0.490944\pi\)
\(282\) 2.51998 1.66683i 0.150063 0.0992583i
\(283\) 4.38438 + 24.8650i 0.260624 + 1.47807i 0.781212 + 0.624266i \(0.214602\pi\)
−0.520588 + 0.853808i \(0.674287\pi\)
\(284\) −8.41210 14.5702i −0.499166 0.864582i
\(285\) 17.5501 + 4.53300i 1.03958 + 0.268512i
\(286\) 0.384987 0.666816i 0.0227647 0.0394297i
\(287\) 11.4899 + 4.18197i 0.678226 + 0.246854i
\(288\) −14.9712 + 7.61662i −0.882185 + 0.448814i
\(289\) 7.74845 + 6.50173i 0.455791 + 0.382454i
\(290\) −7.62811 + 1.34504i −0.447938 + 0.0789835i
\(291\) 7.72035 + 8.14056i 0.452575 + 0.477208i
\(292\) 12.4651 0.729463
\(293\) −4.14145 + 7.17321i −0.241946 + 0.419063i −0.961269 0.275613i \(-0.911119\pi\)
0.719322 + 0.694676i \(0.244452\pi\)
\(294\) −1.27873 5.33350i −0.0745770 0.311056i
\(295\) −17.7530 3.13034i −1.03362 0.182255i
\(296\) −15.4264 + 8.90644i −0.896642 + 0.517677i
\(297\) 0.200645 + 1.08817i 0.0116426 + 0.0631421i
\(298\) −6.82766 1.20390i −0.395516 0.0697401i
\(299\) −1.68098 9.53330i −0.0972135 0.551325i
\(300\) 1.55990 1.47938i 0.0900609 0.0854121i
\(301\) −1.39179 + 1.16785i −0.0802214 + 0.0673138i
\(302\) 7.41134 1.30682i 0.426475 0.0751990i
\(303\) 0.344304 0.465001i 0.0197797 0.0267136i
\(304\) −2.53800 + 7.82750i −0.145564 + 0.448938i
\(305\) 12.0089i 0.687628i
\(306\) −2.18740 4.29954i −0.125045 0.245788i
\(307\) 2.56320 0.451961i 0.146290 0.0257948i −0.100024 0.994985i \(-0.531892\pi\)
0.246313 + 0.969190i \(0.420781\pi\)
\(308\) 0.160172 + 0.440069i 0.00912665 + 0.0250753i
\(309\) 18.4149 + 9.18841i 1.04759 + 0.522710i
\(310\) 4.94037 1.79815i 0.280594 0.102128i
\(311\) 14.3781i 0.815309i −0.913136 0.407655i \(-0.866347\pi\)
0.913136 0.407655i \(-0.133653\pi\)
\(312\) 13.5074 18.2425i 0.764706 1.03278i
\(313\) 3.18914 18.0865i 0.180261 1.02231i −0.751634 0.659580i \(-0.770734\pi\)
0.931895 0.362729i \(-0.118155\pi\)
\(314\) −2.78683 + 1.01432i −0.157270 + 0.0572415i
\(315\) 9.32641 2.84511i 0.525484 0.160304i
\(316\) −7.90578 4.56440i −0.444735 0.256768i
\(317\) −20.0836 16.8521i −1.12801 0.946510i −0.129026 0.991641i \(-0.541185\pi\)
−0.998981 + 0.0451313i \(0.985629\pi\)
\(318\) −10.5859 + 0.644199i −0.593626 + 0.0361249i
\(319\) −1.10408 0.194678i −0.0618164 0.0108999i
\(320\) 0.531454 + 0.633363i 0.0297092 + 0.0354060i
\(321\) 14.8174 29.6962i 0.827026 1.65748i
\(322\) −1.17877 0.680563i −0.0656903 0.0379263i
\(323\) −10.8799 3.52771i −0.605374 0.196287i
\(324\) 1.00195 + 14.5858i 0.0556637 + 0.810320i
\(325\) −1.54192 + 4.23640i −0.0855305 + 0.234993i
\(326\) 6.27260 + 2.28304i 0.347407 + 0.126446i
\(327\) −15.6262 16.4767i −0.864130 0.911163i
\(328\) −18.8511 6.86123i −1.04088 0.378848i
\(329\) −1.31800 3.62118i −0.0726639 0.199642i
\(330\) −0.497720 + 0.216233i −0.0273986 + 0.0119032i
\(331\) 3.89688i 0.214192i −0.994249 0.107096i \(-0.965845\pi\)
0.994249 0.107096i \(-0.0341552\pi\)
\(332\) 9.06083 + 24.8944i 0.497278 + 1.36626i
\(333\) 2.91744 + 23.8818i 0.159875 + 1.30872i
\(334\) 6.14668 + 10.6464i 0.336331 + 0.582543i
\(335\) −11.9067 20.6231i −0.650535 1.12676i
\(336\) 1.03204 + 4.30455i 0.0563021 + 0.234833i
\(337\) −2.57105 + 7.06390i −0.140054 + 0.384795i −0.989813 0.142377i \(-0.954526\pi\)
0.849758 + 0.527172i \(0.176748\pi\)
\(338\) −2.32123 + 13.1643i −0.126258 + 0.716046i
\(339\) −16.2446 24.5592i −0.882284 1.33388i
\(340\) −7.83941 + 6.57805i −0.425152 + 0.356745i
\(341\) 0.760949 0.0412077
\(342\) −6.04792 5.25738i −0.327034 0.284286i
\(343\) −16.4719 −0.889398
\(344\) 2.28347 1.91606i 0.123116 0.103307i
\(345\) −3.04607 + 6.10478i −0.163995 + 0.328670i
\(346\) −0.760567 + 4.31339i −0.0408884 + 0.231889i
\(347\) −12.3808 + 34.0160i −0.664636 + 1.82607i −0.110089 + 0.993922i \(0.535113\pi\)
−0.554548 + 0.832152i \(0.687109\pi\)
\(348\) −14.2017 4.21146i −0.761289 0.225758i
\(349\) −4.15719 7.20046i −0.222529 0.385432i 0.733046 0.680179i \(-0.238098\pi\)
−0.955575 + 0.294747i \(0.904765\pi\)
\(350\) 0.316948 + 0.548970i 0.0169416 + 0.0293437i
\(351\) −15.5361 26.4308i −0.829258 1.41077i
\(352\) −0.407798 1.12042i −0.0217357 0.0597183i
\(353\) 21.4379i 1.14102i −0.821290 0.570512i \(-0.806745\pi\)
0.821290 0.570512i \(-0.193255\pi\)
\(354\) 6.40509 + 4.74256i 0.340427 + 0.252064i
\(355\) −8.50437 23.3656i −0.451365 1.24012i
\(356\) −5.97892 2.17615i −0.316882 0.115336i
\(357\) −5.98315 + 1.43449i −0.316662 + 0.0759211i
\(358\) 0.636459 + 0.231652i 0.0336379 + 0.0122432i
\(359\) 11.3838 31.2766i 0.600812 1.65072i −0.148822 0.988864i \(-0.547548\pi\)
0.749634 0.661853i \(-0.230230\pi\)
\(360\) −15.3016 + 4.66789i −0.806463 + 0.246019i
\(361\) −18.9521 + 1.34865i −0.997478 + 0.0709816i
\(362\) −3.05077 1.76136i −0.160345 0.0925751i
\(363\) 18.9390 1.15252i 0.994039 0.0604918i
\(364\) −8.34063 9.93998i −0.437168 0.520997i
\(365\) 18.1427 + 3.19905i 0.949633 + 0.167446i
\(366\) −2.37040 + 4.75064i −0.123903 + 0.248320i
\(367\) 6.22477 + 5.22321i 0.324931 + 0.272649i 0.790631 0.612294i \(-0.209753\pi\)
−0.465700 + 0.884943i \(0.654197\pi\)
\(368\) −2.68228 1.54861i −0.139823 0.0807271i
\(369\) −18.4914 + 19.8052i −0.962622 + 1.03102i
\(370\) −11.0877 + 4.03560i −0.576423 + 0.209801i
\(371\) −2.34888 + 13.3212i −0.121948 + 0.691601i
\(372\) 9.98928 + 1.14124i 0.517920 + 0.0591705i
\(373\) 12.8929i 0.667571i −0.942649 0.333786i \(-0.891674\pi\)
0.942649 0.333786i \(-0.108326\pi\)
\(374\) 0.321769 0.117115i 0.0166383 0.00605585i
\(375\) −14.6916 + 9.71765i −0.758669 + 0.501818i
\(376\) 2.16241 + 5.94116i 0.111518 + 0.306392i
\(377\) 30.5911 5.39404i 1.57552 0.277807i
\(378\) −4.25105 0.715406i −0.218650 0.0367965i
\(379\) 8.14641i 0.418453i −0.977867 0.209226i \(-0.932905\pi\)
0.977867 0.209226i \(-0.0670946\pi\)
\(380\) −7.97183 + 15.0151i −0.408946 + 0.770257i
\(381\) 5.94857 + 0.679603i 0.304755 + 0.0348171i
\(382\) −4.82789 + 0.851288i −0.247016 + 0.0435557i
\(383\) 12.3997 10.4046i 0.633593 0.531648i −0.268450 0.963294i \(-0.586511\pi\)
0.902043 + 0.431646i \(0.142067\pi\)
\(384\) −4.60730 19.2168i −0.235115 0.980652i
\(385\) 0.120188 + 0.681620i 0.00612535 + 0.0347386i
\(386\) −5.49976 0.969756i −0.279930 0.0493593i
\(387\) −1.17477 3.85095i −0.0597169 0.195755i
\(388\) −9.11264 + 5.26119i −0.462624 + 0.267096i
\(389\) 3.70389 + 0.653095i 0.187794 + 0.0331132i 0.266754 0.963765i \(-0.414049\pi\)
−0.0789598 + 0.996878i \(0.525160\pi\)
\(390\) 10.9097 10.3466i 0.552436 0.523920i
\(391\) 2.15251 3.72826i 0.108857 0.188546i
\(392\) 11.4771 0.579680
\(393\) 16.4596 3.94626i 0.830276 0.199062i
\(394\) −1.53947 + 0.271450i −0.0775575 + 0.0136755i
\(395\) −10.3353 8.67237i −0.520027 0.436354i
\(396\) −1.03632 0.0549493i −0.0520773 0.00276130i
\(397\) 17.7014 + 6.44279i 0.888408 + 0.323354i 0.745598 0.666396i \(-0.232164\pi\)
0.142810 + 0.989750i \(0.454386\pi\)
\(398\) 0.666661 1.15469i 0.0334167 0.0578794i
\(399\) −8.31915 + 5.93785i −0.416478 + 0.297264i
\(400\) 0.721211 + 1.24917i 0.0360605 + 0.0624587i
\(401\) −4.99660 28.3371i −0.249518 1.41509i −0.809761 0.586760i \(-0.800403\pi\)
0.560242 0.828329i \(-0.310708\pi\)
\(402\) 0.639496 + 10.5086i 0.0318952 + 0.524121i
\(403\) −19.8124 + 7.21114i −0.986928 + 0.359213i
\(404\) 0.348811 + 0.415697i 0.0173540 + 0.0206817i
\(405\) −2.28499 + 21.4865i −0.113542 + 1.06767i
\(406\) 2.18384 3.78252i 0.108382 0.187723i
\(407\) −1.70780 −0.0846527
\(408\) 9.81637 2.35352i 0.485983 0.116516i
\(409\) −8.01624 + 9.55338i −0.396377 + 0.472384i −0.926912 0.375279i \(-0.877547\pi\)
0.530534 + 0.847663i \(0.321991\pi\)
\(410\) −11.5081 6.64419i −0.568343 0.328133i
\(411\) 11.6625 + 26.8444i 0.575268 + 1.32414i
\(412\) −12.4069 + 14.7859i −0.611242 + 0.728449i
\(413\) 7.78683 6.53393i 0.383165 0.321514i
\(414\) 2.41001 1.81375i 0.118445 0.0891411i
\(415\) 6.79896 + 38.5588i 0.333748 + 1.89278i
\(416\) 21.2353 + 25.3072i 1.04114 + 1.24079i
\(417\) −33.0372 + 14.3529i −1.61784 + 0.702866i
\(418\) 0.422487 0.380879i 0.0206645 0.0186294i
\(419\) 21.1781 12.2272i 1.03462 0.597336i 0.116312 0.993213i \(-0.462893\pi\)
0.918304 + 0.395877i \(0.129559\pi\)
\(420\) 0.555490 + 9.12814i 0.0271051 + 0.445408i
\(421\) −12.2078 + 33.5405i −0.594969 + 1.63466i 0.166185 + 0.986095i \(0.446855\pi\)
−0.761155 + 0.648570i \(0.775367\pi\)
\(422\) 2.27160 2.70719i 0.110580 0.131784i
\(423\) 8.52758 + 0.452160i 0.414625 + 0.0219848i
\(424\) 3.85374 21.8556i 0.187154 1.06140i
\(425\) −1.73630 + 1.00245i −0.0842229 + 0.0486261i
\(426\) −1.24779 + 10.9219i −0.0604556 + 0.529168i
\(427\) 5.18732 + 4.35268i 0.251032 + 0.210641i
\(428\) 23.8440 + 20.0075i 1.15254 + 0.967099i
\(429\) 1.99601 0.867164i 0.0963685 0.0418670i
\(430\) 1.70999 0.987262i 0.0824629 0.0476100i
\(431\) −2.41299 + 13.6847i −0.116230 + 0.659170i 0.869905 + 0.493220i \(0.164180\pi\)
−0.986134 + 0.165950i \(0.946931\pi\)
\(432\) −9.67322 1.62790i −0.465403 0.0783222i
\(433\) 22.9078 27.3004i 1.10088 1.31197i 0.154830 0.987941i \(-0.450517\pi\)
0.946046 0.324032i \(-0.105039\pi\)
\(434\) −1.01394 + 2.78577i −0.0486705 + 0.133721i
\(435\) −19.5895 9.77445i −0.939243 0.468649i
\(436\) 18.4442 10.6488i 0.883318 0.509984i
\(437\) 0.990946 7.08250i 0.0474034 0.338802i
\(438\) −6.54568 4.84666i −0.312765 0.231582i
\(439\) 1.12626 + 1.34223i 0.0537536 + 0.0640610i 0.792251 0.610195i \(-0.208909\pi\)
−0.738498 + 0.674256i \(0.764464\pi\)
\(440\) −0.197189 1.11831i −0.00940060 0.0533135i
\(441\) 6.06578 14.2657i 0.288847 0.679321i
\(442\) −7.26791 + 6.09850i −0.345699 + 0.290076i
\(443\) 16.4881 19.6498i 0.783375 0.933590i −0.215705 0.976458i \(-0.569205\pi\)
0.999081 + 0.0428681i \(0.0136495\pi\)
\(444\) −22.4190 2.56129i −1.06396 0.121554i
\(445\) −8.14374 4.70179i −0.386050 0.222886i
\(446\) 8.26967 9.85540i 0.391580 0.466667i
\(447\) −13.4842 14.2181i −0.637780 0.672493i
\(448\) −0.466213 −0.0220265
\(449\) −17.1648 + 29.7304i −0.810059 + 1.40306i 0.102763 + 0.994706i \(0.467232\pi\)
−0.912822 + 0.408358i \(0.866102\pi\)
\(450\) −1.39435 + 0.170336i −0.0657303 + 0.00802972i
\(451\) −1.23629 1.47336i −0.0582148 0.0693777i
\(452\) 25.9510 9.44540i 1.22063 0.444274i
\(453\) 19.0328 + 9.49670i 0.894239 + 0.446194i
\(454\) 1.75532 + 9.95489i 0.0823810 + 0.467206i
\(455\) −9.58865 16.6080i −0.449523 0.778597i
\(456\) 13.6490 9.74204i 0.639171 0.456213i
\(457\) −5.00753 + 8.67330i −0.234242 + 0.405720i −0.959052 0.283229i \(-0.908594\pi\)
0.724810 + 0.688949i \(0.241928\pi\)
\(458\) −2.78870 1.01500i −0.130307 0.0474279i
\(459\) 2.26271 13.4454i 0.105614 0.627576i
\(460\) −4.90171 4.11302i −0.228543 0.191771i
\(461\) −30.0961 + 5.30675i −1.40171 + 0.247160i −0.822847 0.568263i \(-0.807616\pi\)
−0.578866 + 0.815423i \(0.696505\pi\)
\(462\) 0.0869974 0.293368i 0.00404749 0.0136487i
\(463\) 8.47540 0.393885 0.196943 0.980415i \(-0.436899\pi\)
0.196943 + 0.980415i \(0.436899\pi\)
\(464\) 4.96930 8.60709i 0.230694 0.399574i
\(465\) 14.2463 + 4.22471i 0.660658 + 0.195916i
\(466\) 10.1006 + 1.78101i 0.467902 + 0.0825037i
\(467\) 16.4095 9.47405i 0.759343 0.438407i −0.0697170 0.997567i \(-0.522210\pi\)
0.829060 + 0.559160i \(0.188876\pi\)
\(468\) 27.5030 8.39005i 1.27133 0.387830i
\(469\) 13.2239 + 2.33173i 0.610624 + 0.107669i
\(470\) 0.727240 + 4.12438i 0.0335451 + 0.190244i
\(471\) −8.03626 2.38313i −0.370291 0.109809i
\(472\) −12.7756 + 10.7200i −0.588045 + 0.493429i
\(473\) 0.281447 0.0496266i 0.0129409 0.00228183i
\(474\) 2.37677 + 5.47079i 0.109169 + 0.251282i
\(475\) −2.04888 + 2.62577i −0.0940089 + 0.120478i
\(476\) 5.77052i 0.264491i
\(477\) −25.1293 16.3411i −1.15059 0.748206i
\(478\) −1.13801 + 0.200662i −0.0520513 + 0.00917805i
\(479\) −5.21255 14.3213i −0.238167 0.654359i −0.999978 0.00656008i \(-0.997912\pi\)
0.761811 0.647799i \(-0.224310\pi\)
\(480\) −1.41428 23.2403i −0.0645526 1.06077i
\(481\) 44.4652 16.1840i 2.02744 0.737928i
\(482\) 13.2345i 0.602814i
\(483\) −1.53294 3.52847i −0.0697510 0.160551i
\(484\) −3.09014 + 17.5250i −0.140461 + 0.796593i
\(485\) −14.6135 + 5.31890i −0.663567 + 0.241519i
\(486\) 5.14508 8.04888i 0.233386 0.365105i
\(487\) 27.1431 + 15.6711i 1.22997 + 0.710124i 0.967024 0.254686i \(-0.0819721\pi\)
0.262947 + 0.964810i \(0.415305\pi\)
\(488\) −8.51067 7.14130i −0.385260 0.323271i
\(489\) 10.4084 + 15.7358i 0.470683 + 0.711598i
\(490\) 7.48695 + 1.32015i 0.338226 + 0.0596383i
\(491\) −8.20427 9.77747i −0.370253 0.441251i 0.548459 0.836177i \(-0.315215\pi\)
−0.918713 + 0.394926i \(0.870770\pi\)
\(492\) −14.0196 21.1955i −0.632054 0.955566i
\(493\) 11.9635 + 6.90713i 0.538809 + 0.311081i
\(494\) −7.39068 + 13.9205i −0.332522 + 0.626311i
\(495\) −1.49425 0.345941i −0.0671616 0.0155489i
\(496\) −2.30720 + 6.33898i −0.103596 + 0.284629i
\(497\) 13.1753 + 4.79543i 0.590995 + 0.215105i
\(498\) 4.92139 16.5956i 0.220533 0.743668i
\(499\) −14.6783 5.34245i −0.657089 0.239161i −0.00810997 0.999967i \(-0.502582\pi\)
−0.648979 + 0.760806i \(0.724804\pi\)
\(500\) −5.65032 15.5241i −0.252690 0.694261i
\(501\) −3.94394 + 34.5213i −0.176202 + 1.54230i
\(502\) 2.04681i 0.0913534i
\(503\) 5.95501 + 16.3613i 0.265521 + 0.729513i 0.998771 + 0.0495542i \(0.0157801\pi\)
−0.733250 + 0.679959i \(0.761998\pi\)
\(504\) 3.52979 8.30149i 0.157229 0.369778i
\(505\) 0.401004 + 0.694559i 0.0178444 + 0.0309075i
\(506\) 0.107052 + 0.185419i 0.00475903 + 0.00824287i
\(507\) −27.4138 + 25.9987i −1.21749 + 1.15464i
\(508\) −1.92056 + 5.27670i −0.0852112 + 0.234116i
\(509\) −6.02951 + 34.1951i −0.267253 + 1.51567i 0.495288 + 0.868729i \(0.335063\pi\)
−0.762541 + 0.646940i \(0.776048\pi\)
\(510\) 6.67431 0.406163i 0.295544 0.0179852i
\(511\) −7.95775 + 6.67735i −0.352030 + 0.295388i
\(512\) 18.9559 0.837741
\(513\) −4.89547 22.1141i −0.216140 0.976362i
\(514\) 4.03452 0.177955
\(515\) −21.8526 + 18.3365i −0.962943 + 0.808005i
\(516\) 3.76909 0.229366i 0.165925 0.0100973i
\(517\) −0.105259 + 0.596954i −0.00462929 + 0.0262540i
\(518\) 2.27559 6.25212i 0.0999835 0.274703i
\(519\) −8.98232 + 8.51867i −0.394280 + 0.373928i
\(520\) 15.7318 + 27.2483i 0.689885 + 1.19492i
\(521\) −11.4232 19.7856i −0.500460 0.866823i −1.00000 0.000531511i \(-0.999831\pi\)
0.499540 0.866291i \(-0.333503\pi\)
\(522\) 5.82010 + 7.73341i 0.254739 + 0.338482i
\(523\) −4.04599 11.1163i −0.176919 0.486080i 0.819260 0.573423i \(-0.194385\pi\)
−0.996178 + 0.0873428i \(0.972162\pi\)
\(524\) 15.8746i 0.693487i
\(525\) −0.203365 + 1.78006i −0.00887559 + 0.0776881i
\(526\) 1.18223 + 3.24814i 0.0515475 + 0.141626i
\(527\) −8.81093 3.20692i −0.383810 0.139695i
\(528\) 0.197962 0.667555i 0.00861517 0.0290516i
\(529\) −19.0835 6.94582i −0.829717 0.301992i
\(530\) 5.02788 13.8140i 0.218397 0.600042i
\(531\) 6.57264 + 21.5454i 0.285228 + 0.934992i
\(532\) −3.59643 8.88576i −0.155925 0.385246i
\(533\) 46.1510 + 26.6453i 1.99902 + 1.15414i
\(534\) 2.29353 + 3.46746i 0.0992509 + 0.150052i
\(535\) 29.5698 + 35.2399i 1.27841 + 1.52356i
\(536\) −21.6961 3.82560i −0.937128 0.165241i
\(537\) 1.05610 + 1.59666i 0.0455741 + 0.0689009i
\(538\) 0.481556 + 0.404073i 0.0207614 + 0.0174208i
\(539\) 0.952941 + 0.550181i 0.0410461 + 0.0236980i
\(540\) −19.0968 6.78232i −0.821795 0.291865i
\(541\) 29.2199 10.6352i 1.25626 0.457242i 0.373750 0.927530i \(-0.378072\pi\)
0.882513 + 0.470287i \(0.155850\pi\)
\(542\) 2.97041 16.8460i 0.127590 0.723598i
\(543\) −3.96738 9.13201i −0.170257 0.391892i
\(544\) 14.6917i 0.629904i
\(545\) 29.5782 10.7656i 1.26699 0.461147i
\(546\) 0.514994 + 8.46270i 0.0220397 + 0.362170i
\(547\) −2.95216 8.11099i −0.126225 0.346801i 0.860443 0.509547i \(-0.170187\pi\)
−0.986668 + 0.162746i \(0.947965\pi\)
\(548\) −27.0332 + 4.76668i −1.15480 + 0.203623i
\(549\) −13.3745 + 6.80429i −0.570808 + 0.290400i
\(550\) 0.0997108i 0.00425168i
\(551\) 22.7268 + 3.17982i 0.968196 + 0.135465i
\(552\) 2.51504 + 5.78905i 0.107047 + 0.246399i
\(553\) 7.49216 1.32107i 0.318599 0.0561776i
\(554\) 11.2713 9.45777i 0.478873 0.401822i
\(555\) −31.9732 9.48156i −1.35719 0.402470i
\(556\) −5.86632 33.2696i −0.248787 1.41094i
\(557\) −13.9869 2.46627i −0.592644 0.104499i −0.130721 0.991419i \(-0.541729\pi\)
−0.461923 + 0.886920i \(0.652840\pi\)
\(558\) −4.80185 4.48331i −0.203279 0.189794i
\(559\) −6.85759 + 3.95923i −0.290045 + 0.167458i
\(560\) −6.04255 1.06547i −0.255345 0.0450241i
\(561\) 0.927874 + 0.275158i 0.0391749 + 0.0116172i
\(562\) −3.23744 + 5.60741i −0.136563 + 0.236534i
\(563\) 1.37069 0.0577678 0.0288839 0.999583i \(-0.490805\pi\)
0.0288839 + 0.999583i \(0.490805\pi\)
\(564\) −2.27706 + 7.67859i −0.0958817 + 0.323327i
\(565\) 40.1954 7.08753i 1.69103 0.298175i
\(566\) 11.8528 + 9.94566i 0.498209 + 0.418047i
\(567\) −8.45302 8.77488i −0.354993 0.368510i
\(568\) −21.6164 7.86772i −0.907003 0.330122i
\(569\) 4.06382 7.03874i 0.170364 0.295079i −0.768183 0.640230i \(-0.778839\pi\)
0.938547 + 0.345151i \(0.112172\pi\)
\(570\) 10.0243 4.78514i 0.419873 0.200427i
\(571\) 4.97865 + 8.62328i 0.208350 + 0.360873i 0.951195 0.308591i \(-0.0998573\pi\)
−0.742845 + 0.669464i \(0.766524\pi\)
\(572\) 0.354427 + 2.01005i 0.0148193 + 0.0840446i
\(573\) −12.3983 6.18633i −0.517948 0.258438i
\(574\) 7.04115 2.56277i 0.293892 0.106968i
\(575\) −0.805798 0.960312i −0.0336041 0.0400478i
\(576\) 0.404259 0.950753i 0.0168441 0.0396147i
\(577\) −16.9104 + 29.2897i −0.703989 + 1.21934i 0.263066 + 0.964778i \(0.415266\pi\)
−0.967055 + 0.254567i \(0.918067\pi\)
\(578\) 6.19854 0.257825
\(579\) −10.8617 11.4528i −0.451395 0.475964i
\(580\) 13.1982 15.7290i 0.548024 0.653110i
\(581\) −19.1200 11.0390i −0.793233 0.457973i
\(582\) 6.83090 + 0.780406i 0.283150 + 0.0323489i
\(583\) 1.36768 1.62993i 0.0566434 0.0675049i
\(584\) 13.0560 10.9553i 0.540263 0.453334i
\(585\) 42.1834 5.15319i 1.74407 0.213058i
\(586\) 0.881416 + 4.99876i 0.0364110 + 0.206497i
\(587\) −5.32697 6.34844i −0.219868 0.262028i 0.644824 0.764331i \(-0.276931\pi\)
−0.864692 + 0.502303i \(0.832486\pi\)
\(588\) 11.6845 + 8.65162i 0.481860 + 0.356787i
\(589\) −15.5662 + 0.553155i −0.641395 + 0.0227924i
\(590\) −9.56710 + 5.52356i −0.393871 + 0.227402i
\(591\) −3.95346 1.97264i −0.162624 0.0811435i
\(592\) 5.17807 14.2266i 0.212817 0.584711i
\(593\) 11.1484 13.2861i 0.457810 0.545597i −0.486920 0.873447i \(-0.661880\pi\)
0.944730 + 0.327850i \(0.106324\pi\)
\(594\) 0.522831 + 0.431798i 0.0214520 + 0.0177169i
\(595\) 1.48095 8.39890i 0.0607132 0.344321i
\(596\) 15.9159 9.18906i 0.651941 0.376398i
\(597\) 3.45639 1.50162i 0.141461 0.0614573i
\(598\) −4.54437 3.81318i −0.185833 0.155933i
\(599\) 10.7279 + 9.00179i 0.438331 + 0.367803i 0.835084 0.550122i \(-0.185419\pi\)
−0.396753 + 0.917925i \(0.629863\pi\)
\(600\) 0.333655 2.92049i 0.0136214 0.119228i
\(601\) 6.29360 3.63361i 0.256721 0.148218i −0.366117 0.930569i \(-0.619313\pi\)
0.622838 + 0.782351i \(0.285980\pi\)
\(602\) −0.193338 + 1.09648i −0.00787989 + 0.0446891i
\(603\) −16.2218 + 24.9458i −0.660602 + 1.01587i
\(604\) −12.8231 + 15.2820i −0.521765 + 0.621816i
\(605\) −8.99529 + 24.7144i −0.365711 + 1.00478i
\(606\) −0.0215374 0.353916i −0.000874897 0.0143768i
\(607\) 6.15466 3.55340i 0.249810 0.144228i −0.369867 0.929085i \(-0.620597\pi\)
0.619677 + 0.784857i \(0.287263\pi\)
\(608\) 9.15650 + 22.6231i 0.371345 + 0.917489i
\(609\) 11.3224 4.91900i 0.458807 0.199328i
\(610\) −4.73041 5.63748i −0.191529 0.228255i
\(611\) −2.91646 16.5401i −0.117987 0.669140i
\(612\) 11.7679 + 5.00370i 0.475689 + 0.202262i
\(613\) −20.3676 + 17.0904i −0.822640 + 0.690277i −0.953589 0.301112i \(-0.902642\pi\)
0.130949 + 0.991389i \(0.458198\pi\)
\(614\) 1.02524 1.22184i 0.0413755 0.0493093i
\(615\) −14.9657 34.4477i −0.603476 1.38907i
\(616\) 0.554534 + 0.320160i 0.0223428 + 0.0128996i
\(617\) −4.45163 + 5.30524i −0.179216 + 0.213581i −0.848172 0.529721i \(-0.822297\pi\)
0.668956 + 0.743302i \(0.266741\pi\)
\(618\) 12.2641 2.94038i 0.493336 0.118280i
\(619\) 6.66725 0.267979 0.133990 0.990983i \(-0.457221\pi\)
0.133990 + 0.990983i \(0.457221\pi\)
\(620\) −6.96826 + 12.0694i −0.279852 + 0.484718i
\(621\) 8.52488 0.0665471i 0.342092 0.00267044i
\(622\) −5.66367 6.74970i −0.227093 0.270638i
\(623\) 4.98270 1.81355i 0.199628 0.0726585i
\(624\) 1.17186 + 19.2568i 0.0469121 + 0.770888i
\(625\) −4.90323 27.8076i −0.196129 1.11230i
\(626\) −5.62732 9.74680i −0.224913 0.389560i
\(627\) 1.60028 0.154586i 0.0639090 0.00617355i
\(628\) 3.93075 6.80825i 0.156854 0.271679i
\(629\) 19.7744 + 7.19731i 0.788458 + 0.286975i
\(630\) 3.25750 5.00937i 0.129782 0.199578i
\(631\) −28.4771 23.8951i −1.13365 0.951248i −0.134441 0.990922i \(-0.542924\pi\)
−0.999213 + 0.0396733i \(0.987368\pi\)
\(632\) −12.2922 + 2.16744i −0.488956 + 0.0862161i
\(633\) 9.71317 2.32877i 0.386064 0.0925604i
\(634\) −16.0663 −0.638074
\(635\) −4.14957 + 7.18727i −0.164671 + 0.285218i
\(636\) 20.3985 19.3456i 0.808854 0.767102i
\(637\) −30.0250 5.29423i −1.18964 0.209765i
\(638\) −0.594985 + 0.343515i −0.0235557 + 0.0135999i
\(639\) −21.2039 + 22.7104i −0.838814 + 0.898411i
\(640\) 26.9757 + 4.75655i 1.06631 + 0.188019i
\(641\) 5.77012 + 32.7240i 0.227906 + 1.29252i 0.857051 + 0.515232i \(0.172294\pi\)
−0.629145 + 0.777288i \(0.716595\pi\)
\(642\) −4.74171 19.7774i −0.187140 0.780551i
\(643\) −13.9016 + 11.6648i −0.548224 + 0.460015i −0.874339 0.485316i \(-0.838705\pi\)
0.326115 + 0.945330i \(0.394260\pi\)
\(644\) 3.55329 0.626541i 0.140019 0.0246892i
\(645\) 5.54471 + 0.633463i 0.218323 + 0.0249426i
\(646\) −6.49708 + 2.62963i −0.255624 + 0.103462i
\(647\) 4.03472i 0.158621i −0.996850 0.0793107i \(-0.974728\pi\)
0.996850 0.0793107i \(-0.0252719\pi\)
\(648\) 13.8686 + 14.3967i 0.544810 + 0.565555i
\(649\) −1.57465 + 0.277653i −0.0618103 + 0.0108988i
\(650\) 0.944911 + 2.59612i 0.0370624 + 0.101828i
\(651\) −6.98854 + 4.62253i −0.273902 + 0.181171i
\(652\) −16.6276 + 6.05194i −0.651186 + 0.237012i
\(653\) 23.1593i 0.906294i 0.891436 + 0.453147i \(0.149699\pi\)
−0.891436 + 0.453147i \(0.850301\pi\)
\(654\) −13.8259 1.57956i −0.540636 0.0617657i
\(655\) −4.07409 + 23.1053i −0.159188 + 0.902798i
\(656\) 16.0221 5.83155i 0.625556 0.227684i
\(657\) −6.71691 22.0183i −0.262052 0.859018i
\(658\) −2.04514 1.18076i −0.0797280 0.0460310i
\(659\) −26.1518 21.9440i −1.01873 0.854816i −0.0292625 0.999572i \(-0.509316\pi\)
−0.989467 + 0.144756i \(0.953760\pi\)
\(660\) 0.642251 1.28717i 0.0249996 0.0501029i
\(661\) −28.8821 5.09269i −1.12338 0.198083i −0.419057 0.907960i \(-0.637639\pi\)
−0.704325 + 0.709877i \(0.748750\pi\)
\(662\) −1.53502 1.82936i −0.0596601 0.0711001i
\(663\) −26.7661 + 1.62884i −1.03951 + 0.0632590i
\(664\) 31.3697 + 18.1113i 1.21738 + 0.702854i
\(665\) −2.95409 13.8561i −0.114555 0.537315i
\(666\) 10.7768 + 10.0619i 0.417594 + 0.389892i
\(667\) −2.95422 + 8.11667i −0.114388 + 0.314279i
\(668\) −30.6223 11.1456i −1.18481 0.431236i
\(669\) 35.3603 8.47779i 1.36711 0.327770i
\(670\) −13.7132 4.99118i −0.529785 0.192826i
\(671\) −0.364305 1.00092i −0.0140638 0.0386401i
\(672\) 10.5514 + 7.81262i 0.407028 + 0.301378i
\(673\) 15.3248i 0.590728i −0.955385 0.295364i \(-0.904559\pi\)
0.955385 0.295364i \(-0.0954410\pi\)
\(674\) 1.57557 + 4.32885i 0.0606889 + 0.166741i
\(675\) −3.45375 1.95824i −0.132935 0.0753726i
\(676\) −17.7173 30.6873i −0.681436 1.18028i
\(677\) 3.60132 + 6.23768i 0.138410 + 0.239733i 0.926895 0.375321i \(-0.122467\pi\)
−0.788485 + 0.615054i \(0.789134\pi\)
\(678\) −17.3000 5.13027i −0.664402 0.197027i
\(679\) 2.99921 8.24027i 0.115099 0.316232i
\(680\) −2.42975 + 13.7798i −0.0931768 + 0.528432i
\(681\) −12.7559 + 25.5648i −0.488808 + 0.979644i
\(682\) 0.357222 0.299745i 0.0136787 0.0114778i
\(683\) −26.7216 −1.02247 −0.511236 0.859440i \(-0.670812\pi\)
−0.511236 + 0.859440i \(0.670812\pi\)
\(684\) 21.2393 + 0.370727i 0.812106 + 0.0141751i
\(685\) −40.5697 −1.55009
\(686\) −7.73260 + 6.48842i −0.295232 + 0.247729i
\(687\) −4.62739 6.99588i −0.176546 0.266909i
\(688\) −0.439939 + 2.49502i −0.0167725 + 0.0951217i
\(689\) −20.1634 + 55.3985i −0.768165 + 2.11052i
\(690\) 0.974773 + 4.06572i 0.0371090 + 0.154779i
\(691\) −14.8317 25.6893i −0.564224 0.977265i −0.997121 0.0758219i \(-0.975842\pi\)
0.432897 0.901443i \(-0.357491\pi\)
\(692\) −5.80521 10.0549i −0.220681 0.382231i
\(693\) 0.691029 0.520063i 0.0262500 0.0197556i
\(694\) 7.58712 + 20.8454i 0.288003 + 0.791282i
\(695\) 49.9289i 1.89391i
\(696\) −18.5763 + 8.07044i −0.704134 + 0.305909i
\(697\) 8.10562 + 22.2700i 0.307022 + 0.843536i
\(698\) −4.78789 1.74265i −0.181224 0.0659602i
\(699\) 19.9480 + 21.0338i 0.754504 + 0.795570i
\(700\) −1.57901 0.574712i −0.0596809 0.0217221i
\(701\) −3.28213 + 9.01757i −0.123964 + 0.340589i −0.986115 0.166062i \(-0.946895\pi\)
0.862151 + 0.506651i \(0.169117\pi\)
\(702\) −17.7046 6.28789i −0.668218 0.237321i
\(703\) 34.9354 1.24145i 1.31761 0.0468222i
\(704\) 0.0635096 + 0.0366673i 0.00239361 + 0.00138195i
\(705\) −5.28487 + 10.5917i −0.199040 + 0.398906i
\(706\) −8.44457 10.0638i −0.317816 0.378758i
\(707\) −0.445365 0.0785298i −0.0167497 0.00295342i
\(708\) −21.0874 + 1.28327i −0.792513 + 0.0482281i
\(709\) 18.4100 + 15.4478i 0.691402 + 0.580155i 0.919313 0.393527i \(-0.128745\pi\)
−0.227911 + 0.973682i \(0.573190\pi\)
\(710\) −13.1962 7.61884i −0.495245 0.285930i
\(711\) −3.80248 + 16.4244i −0.142604 + 0.615962i
\(712\) −8.17496 + 2.97544i −0.306369 + 0.111509i
\(713\) 1.01805 5.77366i 0.0381264 0.216225i
\(714\) −2.24369 + 3.03023i −0.0839679 + 0.113403i
\(715\) 3.01656i 0.112813i
\(716\) −1.68714 + 0.614069i −0.0630514 + 0.0229488i
\(717\) −2.92248 1.45821i −0.109142 0.0544580i
\(718\) −6.97612 19.1667i −0.260346 0.715296i
\(719\) 21.3021 3.75613i 0.794434 0.140080i 0.238320 0.971187i \(-0.423403\pi\)
0.556113 + 0.831107i \(0.312292\pi\)
\(720\) 7.41240 11.3988i 0.276244 0.424807i
\(721\) 16.0855i 0.599057i
\(722\) −8.36566 + 8.09850i −0.311338 + 0.301395i
\(723\) 22.2591 30.0621i 0.827824 1.11802i
\(724\) 9.19625 1.62155i 0.341776 0.0602643i
\(725\) 3.08152 2.58570i 0.114445 0.0960305i
\(726\) 8.43677 8.00128i 0.313118 0.296955i
\(727\) −8.01126 45.4341i −0.297121 1.68506i −0.658453 0.752622i \(-0.728789\pi\)
0.361332 0.932437i \(-0.382322\pi\)
\(728\) −17.4721 3.08081i −0.647560 0.114182i
\(729\) 25.2244 9.62951i 0.934239 0.356648i
\(730\) 9.77709 5.64481i 0.361866 0.208924i
\(731\) −3.46798 0.611498i −0.128268 0.0226171i
\(732\) −3.28124 13.6858i −0.121278 0.505843i
\(733\) 1.24814 2.16184i 0.0461010 0.0798493i −0.842054 0.539393i \(-0.818654\pi\)
0.888155 + 0.459544i \(0.151987\pi\)
\(734\) 4.97964 0.183802
\(735\) 14.7862 + 15.5910i 0.545398 + 0.575083i
\(736\) −9.04668 + 1.59517i −0.333465 + 0.0587989i
\(737\) −1.61803 1.35769i −0.0596010 0.0500112i
\(738\) −0.879194 + 16.5813i −0.0323636 + 0.610366i
\(739\) 21.6651 + 7.88546i 0.796965 + 0.290071i 0.708228 0.705984i \(-0.249495\pi\)
0.0887366 + 0.996055i \(0.471717\pi\)
\(740\) 15.6389 27.0874i 0.574898 0.995753i
\(741\) −40.2007 + 19.1899i −1.47681 + 0.704960i
\(742\) 4.14466 + 7.17877i 0.152155 + 0.263541i
\(743\) −0.425244 2.41168i −0.0156007 0.0884760i 0.976013 0.217711i \(-0.0698590\pi\)
−0.991614 + 0.129235i \(0.958748\pi\)
\(744\) 11.4659 7.58404i 0.420359 0.278044i
\(745\) 25.5237 9.28985i 0.935114 0.340354i
\(746\) −5.07864 6.05249i −0.185942 0.221597i
\(747\) 39.0911 29.4197i 1.43027 1.07641i
\(748\) −0.453847 + 0.786087i −0.0165943 + 0.0287422i
\(749\) −25.9398 −0.947820
\(750\) −3.06897 + 10.3490i −0.112063 + 0.377893i
\(751\) 12.5354 14.9392i 0.457425 0.545138i −0.487200 0.873291i \(-0.661982\pi\)
0.944625 + 0.328153i \(0.106426\pi\)
\(752\) −4.65370 2.68681i −0.169703 0.0979781i
\(753\) −3.44252 + 4.64932i −0.125452 + 0.169431i
\(754\) 12.2360 14.5823i 0.445609 0.531056i
\(755\) −22.5858 + 18.9518i −0.821983 + 0.689726i
\(756\) 9.85138 5.79070i 0.358291 0.210606i
\(757\) −6.48157 36.7588i −0.235577 1.33602i −0.841396 0.540420i \(-0.818266\pi\)
0.605819 0.795603i \(-0.292846\pi\)
\(758\) −3.20894 3.82427i −0.116554 0.138904i
\(759\) −0.0686883 + 0.601229i −0.00249323 + 0.0218232i
\(760\) 4.84669 + 22.7332i 0.175808 + 0.824621i
\(761\) −45.1859 + 26.0881i −1.63799 + 0.945694i −0.656465 + 0.754357i \(0.727949\pi\)
−0.981524 + 0.191337i \(0.938718\pi\)
\(762\) 3.06021 2.02416i 0.110860 0.0733276i
\(763\) −6.07048 + 16.6785i −0.219766 + 0.603802i
\(764\) 8.35323 9.95499i 0.302209 0.360159i
\(765\) 15.8438 + 10.3029i 0.572835 + 0.372503i
\(766\) 1.72248 9.76867i 0.0622358 0.352957i
\(767\) 38.3671 22.1512i 1.38536 0.799835i
\(768\) −8.77377 6.49642i −0.316596 0.234419i
\(769\) 1.32416 + 1.11110i 0.0477503 + 0.0400672i 0.666350 0.745639i \(-0.267855\pi\)
−0.618600 + 0.785706i \(0.712300\pi\)
\(770\) 0.324918 + 0.272638i 0.0117092 + 0.00982520i
\(