Properties

Label 400.2.bd.a.163.52
Level $400$
Weight $2$
Character 400.163
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bd (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 163.52
Character \(\chi\) \(=\) 400.163
Dual form 400.2.bd.a.27.52

$q$-expansion

\(f(q)\) \(=\) \(q+(1.27353 + 0.614921i) q^{2} +(0.306781 + 0.944173i) q^{3} +(1.24374 + 1.56624i) q^{4} +(-0.152971 - 2.23083i) q^{5} +(-0.189899 + 1.39108i) q^{6} +(1.38601 - 1.38601i) q^{7} +(0.620829 + 2.75945i) q^{8} +(1.62970 - 1.18405i) q^{9} +O(q^{10})\) \(q+(1.27353 + 0.614921i) q^{2} +(0.306781 + 0.944173i) q^{3} +(1.24374 + 1.56624i) q^{4} +(-0.152971 - 2.23083i) q^{5} +(-0.189899 + 1.39108i) q^{6} +(1.38601 - 1.38601i) q^{7} +(0.620829 + 2.75945i) q^{8} +(1.62970 - 1.18405i) q^{9} +(1.17697 - 2.93509i) q^{10} +(0.734974 + 4.64044i) q^{11} +(-1.09724 + 1.65480i) q^{12} +(-0.701591 - 0.965657i) q^{13} +(2.61740 - 0.912832i) q^{14} +(2.05936 - 0.828806i) q^{15} +(-0.906203 + 3.89600i) q^{16} +(-0.145513 - 0.285585i) q^{17} +(2.80357 - 0.505779i) q^{18} +(-3.33209 + 1.69779i) q^{19} +(3.30375 - 3.01417i) q^{20} +(1.73383 + 0.883430i) q^{21} +(-1.91750 + 6.36168i) q^{22} +(-0.610038 - 3.85163i) q^{23} +(-2.41494 + 1.43272i) q^{24} +(-4.95320 + 0.682506i) q^{25} +(-0.299692 - 1.66121i) q^{26} +(4.02739 + 2.92607i) q^{27} +(3.89465 + 0.446979i) q^{28} +(-4.20843 - 2.14430i) q^{29} +(3.13230 + 0.210837i) q^{30} +(-2.48302 - 0.806783i) q^{31} +(-3.54981 + 4.40442i) q^{32} +(-4.15591 + 2.11754i) q^{33} +(-0.00970230 - 0.453180i) q^{34} +(-3.30396 - 2.87992i) q^{35} +(3.88143 + 1.07985i) q^{36} +(2.84768 + 3.91950i) q^{37} +(-5.28751 + 0.113202i) q^{38} +(0.696513 - 0.958668i) q^{39} +(6.06090 - 1.80708i) q^{40} +(-5.63784 - 7.75983i) q^{41} +(1.66484 + 2.19124i) q^{42} -1.81149i q^{43} +(-6.35392 + 6.92267i) q^{44} +(-2.89071 - 3.45446i) q^{45} +(1.59155 - 5.28028i) q^{46} +(0.411115 - 0.806858i) q^{47} +(-3.95650 + 0.339604i) q^{48} +3.15798i q^{49} +(-6.72772 - 2.17664i) q^{50} +(0.225002 - 0.225002i) q^{51} +(0.639849 - 2.29989i) q^{52} +(-0.895851 - 2.75715i) q^{53} +(3.32969 + 6.20296i) q^{54} +(10.2396 - 2.34946i) q^{55} +(4.68509 + 2.96414i) q^{56} +(-2.62522 - 2.62522i) q^{57} +(-4.04097 - 5.31868i) q^{58} +(0.704125 - 4.44567i) q^{59} +(3.85943 + 2.19463i) q^{60} +(-1.08808 - 6.86989i) q^{61} +(-2.66609 - 2.55432i) q^{62} +(0.617679 - 3.89987i) q^{63} +(-7.22914 + 3.42629i) q^{64} +(-2.04689 + 1.71285i) q^{65} +(-6.59478 + 0.141190i) q^{66} +(10.3502 + 3.36299i) q^{67} +(0.266314 - 0.583103i) q^{68} +(3.44946 - 1.75759i) q^{69} +(-2.43676 - 5.69934i) q^{70} +(3.37752 + 10.3949i) q^{71} +(4.27909 + 3.76199i) q^{72} +(0.821295 - 0.130080i) q^{73} +(1.21642 + 6.74269i) q^{74} +(-2.16395 - 4.46730i) q^{75} +(-6.80340 - 3.10724i) q^{76} +(7.45036 + 5.41300i) q^{77} +(1.47653 - 0.792590i) q^{78} +(-3.64746 - 11.2257i) q^{79} +(8.82993 + 1.42561i) q^{80} +(0.340278 - 1.04727i) q^{81} +(-2.40827 - 13.3492i) q^{82} +(-1.49341 + 4.59623i) q^{83} +(0.772777 + 3.81435i) q^{84} +(-0.614833 + 0.368301i) q^{85} +(1.11392 - 2.30698i) q^{86} +(0.733528 - 4.63131i) q^{87} +(-12.3488 + 4.90905i) q^{88} +(-11.0464 - 8.02567i) q^{89} +(-1.55717 - 6.17691i) q^{90} +(-2.31082 - 0.365997i) q^{91} +(5.27383 - 5.74590i) q^{92} -2.59191i q^{93} +(1.01972 - 0.774753i) q^{94} +(4.29718 + 7.17361i) q^{95} +(-5.24754 - 2.00044i) q^{96} +(10.0216 + 5.10626i) q^{97} +(-1.94191 + 4.02177i) q^{98} +(6.69229 + 6.69229i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 8q^{2} - 6q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} - 108q^{9} + O(q^{10}) \) \( 464q - 8q^{2} - 6q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} - 108q^{9} - 12q^{10} - 6q^{11} - 10q^{12} - 10q^{13} - 10q^{14} + 12q^{15} - 46q^{16} - 16q^{17} + 16q^{18} - 10q^{19} - 2q^{20} + 24q^{21} + 28q^{22} - 16q^{23} + 12q^{24} - 16q^{26} + 6q^{27} - 38q^{28} - 10q^{29} + 34q^{30} - 38q^{32} - 16q^{33} - 10q^{34} + 20q^{35} + 10q^{36} - 10q^{37} - 34q^{38} - 20q^{39} + 8q^{40} + 6q^{42} - 80q^{44} + 8q^{45} - 6q^{46} - 24q^{47} + 100q^{48} - 74q^{50} - 16q^{51} - 16q^{52} - 6q^{53} - 20q^{54} - 16q^{55} - 6q^{56} + 12q^{57} + 62q^{58} - 10q^{59} - 110q^{60} - 6q^{61} + 26q^{62} + 12q^{63} + 20q^{64} - 16q^{65} - 6q^{66} - 70q^{67} + 46q^{68} + 2q^{69} + 42q^{70} - 12q^{71} - 96q^{72} + 8q^{73} - 8q^{74} - 14q^{75} - 16q^{76} - 48q^{77} + 148q^{78} - 124q^{80} - 96q^{81} - 10q^{82} - 46q^{83} + 2q^{84} - 18q^{85} + 114q^{86} - 72q^{87} + 6q^{88} - 54q^{90} - 76q^{91} - 6q^{92} - 10q^{94} + 160q^{95} + 24q^{96} - 16q^{97} + 88q^{98} + 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{19}{20}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.27353 + 0.614921i 0.900520 + 0.434815i
\(3\) 0.306781 + 0.944173i 0.177120 + 0.545119i 0.999724 0.0234957i \(-0.00747962\pi\)
−0.822604 + 0.568615i \(0.807480\pi\)
\(4\) 1.24374 + 1.56624i 0.621872 + 0.783119i
\(5\) −0.152971 2.23083i −0.0684108 0.997657i
\(6\) −0.189899 + 1.39108i −0.0775259 + 0.567905i
\(7\) 1.38601 1.38601i 0.523861 0.523861i −0.394874 0.918735i \(-0.629212\pi\)
0.918735 + 0.394874i \(0.129212\pi\)
\(8\) 0.620829 + 2.75945i 0.219496 + 0.975613i
\(9\) 1.62970 1.18405i 0.543234 0.394683i
\(10\) 1.17697 2.93509i 0.372191 0.928156i
\(11\) 0.734974 + 4.64044i 0.221603 + 1.39915i 0.808029 + 0.589143i \(0.200535\pi\)
−0.586426 + 0.810003i \(0.699465\pi\)
\(12\) −1.09724 + 1.65480i −0.316747 + 0.477700i
\(13\) −0.701591 0.965657i −0.194586 0.267825i 0.700564 0.713590i \(-0.252932\pi\)
−0.895150 + 0.445765i \(0.852932\pi\)
\(14\) 2.61740 0.912832i 0.699530 0.243965i
\(15\) 2.05936 0.828806i 0.531725 0.213997i
\(16\) −0.906203 + 3.89600i −0.226551 + 0.973999i
\(17\) −0.145513 0.285585i −0.0352921 0.0692646i 0.872687 0.488280i \(-0.162375\pi\)
−0.907979 + 0.419015i \(0.862375\pi\)
\(18\) 2.80357 0.505779i 0.660807 0.119213i
\(19\) −3.33209 + 1.69779i −0.764434 + 0.389499i −0.792315 0.610113i \(-0.791124\pi\)
0.0278806 + 0.999611i \(0.491124\pi\)
\(20\) 3.30375 3.01417i 0.738742 0.673989i
\(21\) 1.73383 + 0.883430i 0.378353 + 0.192780i
\(22\) −1.91750 + 6.36168i −0.408812 + 1.35632i
\(23\) −0.610038 3.85163i −0.127202 0.803120i −0.965974 0.258638i \(-0.916726\pi\)
0.838773 0.544482i \(-0.183274\pi\)
\(24\) −2.41494 + 1.43272i −0.492948 + 0.292452i
\(25\) −4.95320 + 0.682506i −0.990640 + 0.136501i
\(26\) −0.299692 1.66121i −0.0587745 0.325791i
\(27\) 4.02739 + 2.92607i 0.775072 + 0.563123i
\(28\) 3.89465 + 0.446979i 0.736020 + 0.0844710i
\(29\) −4.20843 2.14430i −0.781485 0.398187i 0.0172638 0.999851i \(-0.494504\pi\)
−0.798749 + 0.601664i \(0.794504\pi\)
\(30\) 3.13230 + 0.210837i 0.571878 + 0.0384934i
\(31\) −2.48302 0.806783i −0.445964 0.144902i 0.0774217 0.996998i \(-0.475331\pi\)
−0.523386 + 0.852096i \(0.675331\pi\)
\(32\) −3.54981 + 4.40442i −0.627523 + 0.778598i
\(33\) −4.15591 + 2.11754i −0.723451 + 0.368616i
\(34\) −0.00970230 0.453180i −0.00166393 0.0777197i
\(35\) −3.30396 2.87992i −0.558471 0.486796i
\(36\) 3.88143 + 1.07985i 0.646905 + 0.179975i
\(37\) 2.84768 + 3.91950i 0.468156 + 0.644361i 0.976175 0.216984i \(-0.0696221\pi\)
−0.508019 + 0.861346i \(0.669622\pi\)
\(38\) −5.28751 + 0.113202i −0.857748 + 0.0183639i
\(39\) 0.696513 0.958668i 0.111531 0.153510i
\(40\) 6.06090 1.80708i 0.958312 0.285724i
\(41\) −5.63784 7.75983i −0.880483 1.21188i −0.976287 0.216481i \(-0.930542\pi\)
0.0958036 0.995400i \(-0.469458\pi\)
\(42\) 1.66484 + 2.19124i 0.256890 + 0.338116i
\(43\) 1.81149i 0.276250i −0.990415 0.138125i \(-0.955892\pi\)
0.990415 0.138125i \(-0.0441075\pi\)
\(44\) −6.35392 + 6.92267i −0.957889 + 1.04363i
\(45\) −2.89071 3.45446i −0.430921 0.514961i
\(46\) 1.59155 5.28028i 0.234661 0.778534i
\(47\) 0.411115 0.806858i 0.0599673 0.117692i −0.859078 0.511845i \(-0.828962\pi\)
0.919045 + 0.394153i \(0.128962\pi\)
\(48\) −3.95650 + 0.339604i −0.571072 + 0.0490176i
\(49\) 3.15798i 0.451140i
\(50\) −6.72772 2.17664i −0.951444 0.307823i
\(51\) 0.225002 0.225002i 0.0315065 0.0315065i
\(52\) 0.639849 2.29989i 0.0887312 0.318937i
\(53\) −0.895851 2.75715i −0.123055 0.378723i 0.870487 0.492191i \(-0.163804\pi\)
−0.993542 + 0.113468i \(0.963804\pi\)
\(54\) 3.32969 + 6.20296i 0.453114 + 0.844116i
\(55\) 10.2396 2.34946i 1.38071 0.316801i
\(56\) 4.68509 + 2.96414i 0.626071 + 0.396100i
\(57\) −2.62522 2.62522i −0.347719 0.347719i
\(58\) −4.04097 5.31868i −0.530605 0.698376i
\(59\) 0.704125 4.44567i 0.0916692 0.578777i −0.898508 0.438957i \(-0.855348\pi\)
0.990177 0.139819i \(-0.0446521\pi\)
\(60\) 3.85943 + 2.19463i 0.498250 + 0.283325i
\(61\) −1.08808 6.86989i −0.139315 0.879600i −0.954024 0.299730i \(-0.903103\pi\)
0.814709 0.579870i \(-0.196897\pi\)
\(62\) −2.66609 2.55432i −0.338594 0.324399i
\(63\) 0.617679 3.89987i 0.0778202 0.491338i
\(64\) −7.22914 + 3.42629i −0.903643 + 0.428287i
\(65\) −2.04689 + 1.71285i −0.253886 + 0.212453i
\(66\) −6.59478 + 0.141190i −0.811762 + 0.0173793i
\(67\) 10.3502 + 3.36299i 1.26448 + 0.410854i 0.863089 0.505052i \(-0.168527\pi\)
0.401391 + 0.915907i \(0.368527\pi\)
\(68\) 0.266314 0.583103i 0.0322953 0.0707116i
\(69\) 3.44946 1.75759i 0.415266 0.211588i
\(70\) −2.43676 5.69934i −0.291248 0.681201i
\(71\) 3.37752 + 10.3949i 0.400838 + 1.23365i 0.924321 + 0.381616i \(0.124632\pi\)
−0.523483 + 0.852036i \(0.675368\pi\)
\(72\) 4.27909 + 3.76199i 0.504295 + 0.443355i
\(73\) 0.821295 0.130080i 0.0961253 0.0152247i −0.108187 0.994131i \(-0.534504\pi\)
0.204312 + 0.978906i \(0.434504\pi\)
\(74\) 1.21642 + 6.74269i 0.141406 + 0.783821i
\(75\) −2.16395 4.46730i −0.249871 0.515839i
\(76\) −6.80340 3.10724i −0.780404 0.356425i
\(77\) 7.45036 + 5.41300i 0.849047 + 0.616869i
\(78\) 1.47653 0.792590i 0.167185 0.0897431i
\(79\) −3.64746 11.2257i −0.410372 1.26299i −0.916326 0.400434i \(-0.868859\pi\)
0.505954 0.862561i \(-0.331141\pi\)
\(80\) 8.82993 + 1.42561i 0.987216 + 0.159388i
\(81\) 0.340278 1.04727i 0.0378087 0.116363i
\(82\) −2.40827 13.3492i −0.265949 1.47417i
\(83\) −1.49341 + 4.59623i −0.163923 + 0.504502i −0.998955 0.0456984i \(-0.985449\pi\)
0.835033 + 0.550200i \(0.185449\pi\)
\(84\) 0.772777 + 3.81435i 0.0843169 + 0.416180i
\(85\) −0.614833 + 0.368301i −0.0666880 + 0.0399479i
\(86\) 1.11392 2.30698i 0.120118 0.248768i
\(87\) 0.733528 4.63131i 0.0786425 0.496529i
\(88\) −12.3488 + 4.90905i −1.31638 + 0.523306i
\(89\) −11.0464 8.02567i −1.17091 0.850719i −0.179797 0.983704i \(-0.557544\pi\)
−0.991118 + 0.132984i \(0.957544\pi\)
\(90\) −1.55717 6.17691i −0.164140 0.651103i
\(91\) −2.31082 0.365997i −0.242239 0.0383669i
\(92\) 5.27383 5.74590i 0.549835 0.599052i
\(93\) 2.59191i 0.268768i
\(94\) 1.01972 0.774753i 0.105176 0.0799096i
\(95\) 4.29718 + 7.17361i 0.440882 + 0.735997i
\(96\) −5.24754 2.00044i −0.535575 0.204169i
\(97\) 10.0216 + 5.10626i 1.01754 + 0.518462i 0.881471 0.472238i \(-0.156554\pi\)
0.136067 + 0.990700i \(0.456554\pi\)
\(98\) −1.94191 + 4.02177i −0.196162 + 0.406260i
\(99\) 6.69229 + 6.69229i 0.672601 + 0.672601i
\(100\) −7.22948 6.90903i −0.722948 0.690903i
\(101\) −11.7977 + 11.7977i −1.17391 + 1.17391i −0.192645 + 0.981268i \(0.561707\pi\)
−0.981268 + 0.192645i \(0.938293\pi\)
\(102\) 0.424904 0.148187i 0.0420717 0.0146727i
\(103\) 7.42019 14.5629i 0.731133 1.43493i −0.162767 0.986664i \(-0.552042\pi\)
0.893901 0.448265i \(-0.147958\pi\)
\(104\) 2.22912 2.53551i 0.218583 0.248628i
\(105\) 1.70556 4.00302i 0.166445 0.390654i
\(106\) 0.554537 4.06218i 0.0538614 0.394554i
\(107\) −5.53294 −0.534890 −0.267445 0.963573i \(-0.586179\pi\)
−0.267445 + 0.963573i \(0.586179\pi\)
\(108\) 0.426120 + 9.94714i 0.0410034 + 0.957164i
\(109\) −1.43622 + 9.06791i −0.137564 + 0.868548i 0.818311 + 0.574776i \(0.194911\pi\)
−0.955875 + 0.293772i \(0.905089\pi\)
\(110\) 14.4851 + 3.30445i 1.38110 + 0.315067i
\(111\) −2.82707 + 3.89113i −0.268334 + 0.369330i
\(112\) 4.14387 + 6.65588i 0.391559 + 0.628921i
\(113\) −18.4693 2.92525i −1.73745 0.275185i −0.794292 0.607536i \(-0.792158\pi\)
−0.943156 + 0.332351i \(0.892158\pi\)
\(114\) −1.72899 4.95760i −0.161935 0.464322i
\(115\) −8.49900 + 1.95008i −0.792536 + 0.181846i
\(116\) −1.87572 9.25836i −0.174156 0.859617i
\(117\) −2.28677 0.743016i −0.211412 0.0686919i
\(118\) 3.63046 5.22870i 0.334211 0.481341i
\(119\) −0.597505 0.194141i −0.0547732 0.0177969i
\(120\) 3.56556 + 5.16816i 0.325490 + 0.471786i
\(121\) −10.5319 + 3.42202i −0.957446 + 0.311093i
\(122\) 2.83874 9.41808i 0.257007 0.852673i
\(123\) 5.59704 7.70367i 0.504668 0.694616i
\(124\) −1.82463 4.89243i −0.163857 0.439354i
\(125\) 2.28025 + 10.9453i 0.203952 + 0.978981i
\(126\) 3.18475 4.58677i 0.283720 0.408622i
\(127\) 3.23940 + 20.4528i 0.287450 + 1.81489i 0.533690 + 0.845680i \(0.320805\pi\)
−0.246240 + 0.969209i \(0.579195\pi\)
\(128\) −11.3134 0.0818748i −0.999974 0.00723678i
\(129\) 1.71036 0.555730i 0.150589 0.0489293i
\(130\) −3.66004 + 0.922680i −0.321007 + 0.0809244i
\(131\) 0.842336 + 1.65318i 0.0735952 + 0.144439i 0.924872 0.380277i \(-0.124171\pi\)
−0.851277 + 0.524716i \(0.824171\pi\)
\(132\) −8.48546 3.87546i −0.738564 0.337316i
\(133\) −2.26516 + 6.97144i −0.196414 + 0.604500i
\(134\) 11.1133 + 10.6474i 0.960043 + 0.919797i
\(135\) 5.91149 9.43203i 0.508780 0.811780i
\(136\) 0.697720 0.578836i 0.0598290 0.0496347i
\(137\) 7.58886 + 1.20196i 0.648360 + 0.102690i 0.471948 0.881626i \(-0.343551\pi\)
0.176412 + 0.984316i \(0.443551\pi\)
\(138\) 5.47375 0.117190i 0.465957 0.00997585i
\(139\) −7.39015 + 1.17049i −0.626825 + 0.0992793i −0.461762 0.887004i \(-0.652783\pi\)
−0.165063 + 0.986283i \(0.552783\pi\)
\(140\) 0.401364 8.75667i 0.0339214 0.740074i
\(141\) 0.887936 + 0.140635i 0.0747777 + 0.0118436i
\(142\) −2.09070 + 15.3151i −0.175448 + 1.28522i
\(143\) 3.96543 3.96543i 0.331606 0.331606i
\(144\) 3.13621 + 7.42230i 0.261351 + 0.618525i
\(145\) −4.13980 + 9.71630i −0.343792 + 0.806895i
\(146\) 1.12593 + 0.339371i 0.0931827 + 0.0280865i
\(147\) −2.98168 + 0.968806i −0.245925 + 0.0799058i
\(148\) −2.59708 + 9.33500i −0.213479 + 0.767332i
\(149\) −1.96997 1.96997i −0.161386 0.161386i 0.621795 0.783180i \(-0.286404\pi\)
−0.783180 + 0.621795i \(0.786404\pi\)
\(150\) −0.00881067 7.01989i −0.000719388 0.573171i
\(151\) 10.8968 0.886768 0.443384 0.896332i \(-0.353778\pi\)
0.443384 + 0.896332i \(0.353778\pi\)
\(152\) −6.75361 8.14071i −0.547790 0.660299i
\(153\) −0.575289 0.293125i −0.0465094 0.0236977i
\(154\) 6.15966 + 11.4750i 0.496360 + 0.924681i
\(155\) −1.41996 + 5.66261i −0.114054 + 0.454832i
\(156\) 2.36779 0.101432i 0.189575 0.00812108i
\(157\) 16.2281 1.29515 0.647573 0.762003i \(-0.275784\pi\)
0.647573 + 0.762003i \(0.275784\pi\)
\(158\) 2.25780 16.5392i 0.179621 1.31579i
\(159\) 2.32839 1.69168i 0.184654 0.134159i
\(160\) 10.3685 + 7.24526i 0.819703 + 0.572788i
\(161\) −6.18389 4.49286i −0.487359 0.354087i
\(162\) 1.07734 1.12448i 0.0846439 0.0883476i
\(163\) −2.04368 + 1.48482i −0.160073 + 0.116300i −0.664938 0.746898i \(-0.731542\pi\)
0.504865 + 0.863198i \(0.331542\pi\)
\(164\) 5.14170 18.4814i 0.401499 1.44316i
\(165\) 5.35961 + 8.94720i 0.417245 + 0.696538i
\(166\) −4.72821 + 4.93510i −0.366981 + 0.383038i
\(167\) −9.45016 18.5470i −0.731275 1.43521i −0.893782 0.448501i \(-0.851958\pi\)
0.162507 0.986707i \(-0.448042\pi\)
\(168\) −1.36137 + 5.33288i −0.105032 + 0.411440i
\(169\) 3.57696 11.0087i 0.275151 0.846826i
\(170\) −1.00948 + 0.0909677i −0.0774238 + 0.00697690i
\(171\) −3.42006 + 6.71224i −0.261538 + 0.513298i
\(172\) 2.83723 2.25303i 0.216336 0.171792i
\(173\) 11.7371 16.1548i 0.892358 1.22823i −0.0804843 0.996756i \(-0.525647\pi\)
0.972842 0.231469i \(-0.0743533\pi\)
\(174\) 3.78206 5.44704i 0.286717 0.412939i
\(175\) −5.91921 + 7.81112i −0.447450 + 0.590465i
\(176\) −18.7452 1.34173i −1.41297 0.101136i
\(177\) 4.41349 0.699029i 0.331738 0.0525422i
\(178\) −9.13272 17.0136i −0.684527 1.27522i
\(179\) −11.1548 + 21.8925i −0.833748 + 1.63632i −0.0640227 + 0.997948i \(0.520393\pi\)
−0.769726 + 0.638375i \(0.779607\pi\)
\(180\) 1.81521 8.82400i 0.135298 0.657702i
\(181\) 1.25473 + 2.46254i 0.0932633 + 0.183040i 0.932925 0.360070i \(-0.117247\pi\)
−0.839662 + 0.543109i \(0.817247\pi\)
\(182\) −2.71783 1.88708i −0.201459 0.139879i
\(183\) 6.15257 3.13489i 0.454811 0.231738i
\(184\) 10.2496 4.07457i 0.755614 0.300381i
\(185\) 8.30812 6.95226i 0.610825 0.511140i
\(186\) 1.59382 3.30087i 0.116865 0.242031i
\(187\) 1.21829 0.885143i 0.0890905 0.0647280i
\(188\) 1.77505 0.359621i 0.129459 0.0262281i
\(189\) 9.63754 1.52644i 0.701028 0.111032i
\(190\) 1.06137 + 11.7782i 0.0770001 + 0.854482i
\(191\) 8.63786 + 11.8890i 0.625014 + 0.860258i 0.997706 0.0676972i \(-0.0215652\pi\)
−0.372692 + 0.927955i \(0.621565\pi\)
\(192\) −5.45278 5.77444i −0.393520 0.416735i
\(193\) 12.1864 + 12.1864i 0.877197 + 0.877197i 0.993244 0.116047i \(-0.0370222\pi\)
−0.116047 + 0.993244i \(0.537022\pi\)
\(194\) 9.62283 + 12.6654i 0.690879 + 0.909326i
\(195\) −2.24517 1.40715i −0.160780 0.100768i
\(196\) −4.94614 + 3.92772i −0.353296 + 0.280551i
\(197\) 5.65127 1.83621i 0.402636 0.130824i −0.100696 0.994917i \(-0.532107\pi\)
0.503332 + 0.864093i \(0.332107\pi\)
\(198\) 4.40759 + 12.6381i 0.313233 + 0.898147i
\(199\) 20.5875i 1.45941i 0.683761 + 0.729706i \(0.260343\pi\)
−0.683761 + 0.729706i \(0.739657\pi\)
\(200\) −4.95843 13.2444i −0.350614 0.936520i
\(201\) 10.8041i 0.762062i
\(202\) −22.2793 + 7.77003i −1.56757 + 0.546697i
\(203\) −8.80491 + 2.86089i −0.617984 + 0.200795i
\(204\) 0.632250 + 0.0725617i 0.0442664 + 0.00508033i
\(205\) −16.4484 + 13.7641i −1.14881 + 0.961326i
\(206\) 18.4049 13.9835i 1.28233 0.974275i
\(207\) −5.55469 5.55469i −0.386078 0.386078i
\(208\) 4.39798 1.85832i 0.304945 0.128851i
\(209\) −10.3275 14.2146i −0.714366 0.983241i
\(210\) 4.63361 4.04917i 0.319750 0.279419i
\(211\) 12.2417 1.93889i 0.842753 0.133479i 0.279893 0.960031i \(-0.409701\pi\)
0.562860 + 0.826552i \(0.309701\pi\)
\(212\) 3.20414 4.83230i 0.220061 0.331884i
\(213\) −8.77847 + 6.37793i −0.601491 + 0.437009i
\(214\) −7.04635 3.40232i −0.481679 0.232578i
\(215\) −4.04113 + 0.277106i −0.275603 + 0.0188985i
\(216\) −5.57403 + 12.9300i −0.379265 + 0.879774i
\(217\) −4.55969 + 2.32328i −0.309532 + 0.157714i
\(218\) −7.40511 + 10.6651i −0.501537 + 0.722330i
\(219\) 0.374776 + 0.735539i 0.0253250 + 0.0497031i
\(220\) 16.4153 + 13.1155i 1.10672 + 0.884249i
\(221\) −0.173687 + 0.340880i −0.0116834 + 0.0229301i
\(222\) −5.99309 + 3.21703i −0.402230 + 0.215913i
\(223\) 8.52940 1.35092i 0.571171 0.0904646i 0.135833 0.990732i \(-0.456629\pi\)
0.435338 + 0.900267i \(0.356629\pi\)
\(224\) 1.18450 + 11.0246i 0.0791424 + 0.736612i
\(225\) −7.26412 + 6.97711i −0.484275 + 0.465140i
\(226\) −21.7224 15.0826i −1.44495 1.00328i
\(227\) −7.96641 + 10.9648i −0.528749 + 0.727760i −0.986939 0.161094i \(-0.948498\pi\)
0.458190 + 0.888854i \(0.348498\pi\)
\(228\) 0.846620 7.37683i 0.0560687 0.488543i
\(229\) −7.89114 + 15.4872i −0.521461 + 1.02343i 0.468682 + 0.883367i \(0.344729\pi\)
−0.990143 + 0.140058i \(0.955271\pi\)
\(230\) −12.0229 2.74274i −0.792764 0.180851i
\(231\) −2.82519 + 8.69503i −0.185884 + 0.572091i
\(232\) 3.30438 12.9442i 0.216943 0.849828i
\(233\) −6.90598 13.5537i −0.452426 0.887936i −0.998732 0.0503498i \(-0.983966\pi\)
0.546306 0.837586i \(-0.316034\pi\)
\(234\) −2.45537 2.35243i −0.160512 0.153783i
\(235\) −1.86285 0.793701i −0.121519 0.0517753i
\(236\) 7.83872 4.42645i 0.510258 0.288137i
\(237\) 9.48008 6.88768i 0.615797 0.447403i
\(238\) −0.641557 0.614662i −0.0415860 0.0398426i
\(239\) −3.48534 2.53225i −0.225448 0.163798i 0.469328 0.883024i \(-0.344496\pi\)
−0.694776 + 0.719227i \(0.744496\pi\)
\(240\) 1.36283 + 8.77433i 0.0879702 + 0.566381i
\(241\) 16.0692 11.6750i 1.03511 0.752052i 0.0657853 0.997834i \(-0.479045\pi\)
0.969325 + 0.245782i \(0.0790447\pi\)
\(242\) −15.5169 2.11825i −0.997467 0.136166i
\(243\) 16.0276 1.02817
\(244\) 9.40659 10.2486i 0.602195 0.656098i
\(245\) 7.04491 0.483080i 0.450083 0.0308628i
\(246\) 11.8651 6.36909i 0.756493 0.406078i
\(247\) 3.97724 + 2.02651i 0.253066 + 0.128944i
\(248\) 0.684746 7.35265i 0.0434814 0.466894i
\(249\) −4.79779 −0.304047
\(250\) −3.82656 + 15.3414i −0.242013 + 0.970273i
\(251\) 11.1560 + 11.1560i 0.704160 + 0.704160i 0.965301 0.261140i \(-0.0840986\pi\)
−0.261140 + 0.965301i \(0.584099\pi\)
\(252\) 6.87636 3.88301i 0.433170 0.244607i
\(253\) 17.4249 5.66169i 1.09549 0.355947i
\(254\) −8.45137 + 28.0391i −0.530286 + 1.75933i
\(255\) −0.536359 0.467521i −0.0335881 0.0292773i
\(256\) −14.3576 7.06113i −0.897350 0.441320i
\(257\) 15.5816 15.5816i 0.971953 0.971953i −0.0276639 0.999617i \(-0.508807\pi\)
0.999617 + 0.0276639i \(0.00880682\pi\)
\(258\) 2.51992 + 0.344000i 0.156884 + 0.0214165i
\(259\) 9.37935 + 1.48554i 0.582804 + 0.0923071i
\(260\) −5.22854 1.07558i −0.324260 0.0667045i
\(261\) −9.39743 + 1.48841i −0.581687 + 0.0921301i
\(262\) 0.0561640 + 2.62334i 0.00346982 + 0.162070i
\(263\) 4.69486 + 0.743593i 0.289498 + 0.0458519i 0.299494 0.954098i \(-0.403182\pi\)
−0.00999660 + 0.999950i \(0.503182\pi\)
\(264\) −8.42336 10.1534i −0.518422 0.624898i
\(265\) −6.01368 + 2.42026i −0.369418 + 0.148675i
\(266\) −7.17162 + 7.48542i −0.439720 + 0.458961i
\(267\) 4.18881 12.8918i 0.256351 0.788967i
\(268\) 7.60577 + 20.3936i 0.464597 + 1.24574i
\(269\) 10.1536 + 19.9276i 0.619076 + 1.21500i 0.961330 + 0.275398i \(0.0888095\pi\)
−0.342254 + 0.939607i \(0.611190\pi\)
\(270\) 13.3284 8.37685i 0.811141 0.509799i
\(271\) −6.16425 + 2.00289i −0.374451 + 0.121667i −0.490196 0.871612i \(-0.663075\pi\)
0.115744 + 0.993279i \(0.463075\pi\)
\(272\) 1.24450 0.308120i 0.0754591 0.0186825i
\(273\) −0.363348 2.29409i −0.0219908 0.138845i
\(274\) 8.92552 + 6.19728i 0.539210 + 0.374391i
\(275\) −6.80760 22.4834i −0.410514 1.35580i
\(276\) 7.04304 + 3.21668i 0.423941 + 0.193622i
\(277\) 10.7275 14.7652i 0.644556 0.887155i −0.354292 0.935135i \(-0.615278\pi\)
0.998848 + 0.0479796i \(0.0152782\pi\)
\(278\) −10.1313 3.05372i −0.607636 0.183150i
\(279\) −5.00185 + 1.62520i −0.299453 + 0.0972982i
\(280\) 5.89581 10.9051i 0.352342 0.651702i
\(281\) 26.7654 + 8.69660i 1.59669 + 0.518796i 0.966286 0.257472i \(-0.0828894\pi\)
0.630404 + 0.776268i \(0.282889\pi\)
\(282\) 1.04433 + 0.725114i 0.0621890 + 0.0431799i
\(283\) 19.8757 + 6.45799i 1.18149 + 0.383888i 0.832918 0.553396i \(-0.186668\pi\)
0.348567 + 0.937284i \(0.386668\pi\)
\(284\) −12.0802 + 18.2186i −0.716827 + 1.08108i
\(285\) −5.45484 + 6.25801i −0.323117 + 0.370693i
\(286\) 7.48850 2.61165i 0.442804 0.154430i
\(287\) −18.5692 2.94108i −1.09611 0.173606i
\(288\) −0.570086 + 11.3810i −0.0335926 + 0.670633i
\(289\) 9.93196 13.6702i 0.584233 0.804128i
\(290\) −11.2469 + 9.82832i −0.660441 + 0.577139i
\(291\) −1.74676 + 11.0286i −0.102397 + 0.646509i
\(292\) 1.22522 + 1.12456i 0.0717004 + 0.0658097i
\(293\) 16.1402 0.942922 0.471461 0.881887i \(-0.343727\pi\)
0.471461 + 0.881887i \(0.343727\pi\)
\(294\) −4.39299 0.599696i −0.256204 0.0349750i
\(295\) −10.0252 0.890722i −0.583692 0.0518599i
\(296\) −9.04774 + 10.2914i −0.525889 + 0.598174i
\(297\) −10.6182 + 20.8395i −0.616133 + 1.20923i
\(298\) −1.29743 3.72018i −0.0751582 0.215504i
\(299\) −3.29135 + 3.29135i −0.190344 + 0.190344i
\(300\) 4.30546 8.94544i 0.248576 0.516465i
\(301\) −2.51074 2.51074i −0.144716 0.144716i
\(302\) 13.8774 + 6.70066i 0.798552 + 0.385580i
\(303\) −14.7584 7.51976i −0.847846 0.431999i
\(304\) −3.59502 14.5204i −0.206188 0.832800i
\(305\) −15.1591 + 3.47823i −0.868008 + 0.199163i
\(306\) −0.552398 0.727060i −0.0315785 0.0415632i
\(307\) 1.97972i 0.112988i 0.998403 + 0.0564942i \(0.0179923\pi\)
−0.998403 + 0.0564942i \(0.982008\pi\)
\(308\) 0.788287 + 18.4014i 0.0449168 + 1.04852i
\(309\) 16.0263 + 2.53832i 0.911705 + 0.144400i
\(310\) −5.29042 + 6.33833i −0.300476 + 0.359993i
\(311\) −15.8156 11.4907i −0.896822 0.651580i 0.0408255 0.999166i \(-0.487001\pi\)
−0.937648 + 0.347587i \(0.887001\pi\)
\(312\) 3.07781 + 1.32683i 0.174247 + 0.0751167i
\(313\) 0.128085 0.808694i 0.00723977 0.0457101i −0.983804 0.179248i \(-0.942634\pi\)
0.991044 + 0.133538i \(0.0426337\pi\)
\(314\) 20.6670 + 9.97902i 1.16630 + 0.563149i
\(315\) −8.79444 0.781368i −0.495510 0.0440251i
\(316\) 13.0457 19.6747i 0.733876 1.10679i
\(317\) −2.87444 + 8.84661i −0.161444 + 0.496875i −0.998757 0.0498501i \(-0.984126\pi\)
0.837312 + 0.546725i \(0.184126\pi\)
\(318\) 4.00552 0.722619i 0.224619 0.0405224i
\(319\) 6.85742 21.1050i 0.383942 1.18165i
\(320\) 8.74933 + 15.6029i 0.489102 + 0.872226i
\(321\) −1.69740 5.22406i −0.0947395 0.291578i
\(322\) −5.11260 9.52439i −0.284914 0.530773i
\(323\) 0.969725 + 0.704547i 0.0539569 + 0.0392020i
\(324\) 2.06349 0.769577i 0.114638 0.0427543i
\(325\) 4.13419 + 4.30425i 0.229323 + 0.238757i
\(326\) −3.51572 + 0.634256i −0.194718 + 0.0351282i
\(327\) −9.00228 + 1.42582i −0.497827 + 0.0788481i
\(328\) 17.9127 20.3749i 0.989065 1.12501i
\(329\) −0.548502 1.68812i −0.0302399 0.0930689i
\(330\) 1.32378 + 14.6902i 0.0728719 + 0.808671i
\(331\) −21.4639 + 10.9364i −1.17976 + 0.601119i −0.930133 0.367222i \(-0.880309\pi\)
−0.249629 + 0.968341i \(0.580309\pi\)
\(332\) −9.05621 + 3.37750i −0.497024 + 0.185365i
\(333\) 9.28174 + 3.01582i 0.508636 + 0.165266i
\(334\) −0.630104 29.4312i −0.0344777 1.61040i
\(335\) 5.91897 23.6040i 0.323388 1.28962i
\(336\) −5.01304 + 5.95443i −0.273484 + 0.324841i
\(337\) −5.44593 + 34.3842i −0.296659 + 1.87303i 0.165468 + 0.986215i \(0.447087\pi\)
−0.462126 + 0.886814i \(0.652913\pi\)
\(338\) 11.3249 11.8204i 0.615991 0.642944i
\(339\) −2.90408 18.3357i −0.157728 0.995856i
\(340\) −1.34154 0.504902i −0.0727553 0.0273822i
\(341\) 1.91887 12.1153i 0.103913 0.656079i
\(342\) −8.48303 + 6.44515i −0.458710 + 0.348514i
\(343\) 14.0790 + 14.0790i 0.760195 + 0.760195i
\(344\) 4.99872 1.12463i 0.269513 0.0606357i
\(345\) −4.44854 7.42629i −0.239501 0.399818i
\(346\) 24.8815 13.3561i 1.33764 0.718031i
\(347\) −11.0465 33.9976i −0.593007 1.82509i −0.564409 0.825496i \(-0.690896\pi\)
−0.0285979 0.999591i \(-0.509104\pi\)
\(348\) 8.16606 4.61129i 0.437747 0.247191i
\(349\) 19.5195 19.5195i 1.04486 1.04486i 0.0459107 0.998946i \(-0.485381\pi\)
0.998946 0.0459107i \(-0.0146190\pi\)
\(350\) −12.3415 + 6.30783i −0.659680 + 0.337168i
\(351\) 5.94199i 0.317160i
\(352\) −23.0475 13.2355i −1.22843 0.705457i
\(353\) −11.0213 + 21.6306i −0.586607 + 1.15128i 0.386793 + 0.922167i \(0.373583\pi\)
−0.973400 + 0.229114i \(0.926417\pi\)
\(354\) 6.05055 + 1.82372i 0.321583 + 0.0969295i
\(355\) 22.6727 9.12480i 1.20334 0.484294i
\(356\) −1.16877 27.2832i −0.0619445 1.44600i
\(357\) 0.623707i 0.0330101i
\(358\) −27.6681 + 21.0214i −1.46230 + 1.11102i
\(359\) −15.1507 20.8531i −0.799621 1.10058i −0.992843 0.119429i \(-0.961894\pi\)
0.193222 0.981155i \(-0.438106\pi\)
\(360\) 7.73778 10.1214i 0.407817 0.533444i
\(361\) −2.94756 + 4.05697i −0.155135 + 0.213525i
\(362\) 0.0836610 + 3.90768i 0.00439712 + 0.205383i
\(363\) −6.46197 8.89413i −0.339165 0.466821i
\(364\) −2.30082 4.07449i −0.120596 0.213561i
\(365\) −0.415821 1.81227i −0.0217651 0.0948585i
\(366\) 9.76317 0.209023i 0.510329 0.0109258i
\(367\) −17.7776 + 9.05815i −0.927984 + 0.472831i −0.851568 0.524245i \(-0.824348\pi\)
−0.0764162 + 0.997076i \(0.524348\pi\)
\(368\) 15.5587 + 1.11365i 0.811056 + 0.0580530i
\(369\) −18.3760 5.97073i −0.956617 0.310824i
\(370\) 14.8557 3.74506i 0.772311 0.194696i
\(371\) −5.06307 2.57977i −0.262862 0.133935i
\(372\) 4.05955 3.22367i 0.210478 0.167140i
\(373\) −23.5726 17.1265i −1.22054 0.886778i −0.224400 0.974497i \(-0.572042\pi\)
−0.996145 + 0.0877195i \(0.972042\pi\)
\(374\) 2.09582 0.378098i 0.108372 0.0195510i
\(375\) −9.63476 + 5.51077i −0.497537 + 0.284575i
\(376\) 2.48172 + 0.633530i 0.127985 + 0.0326718i
\(377\) 0.881935 + 5.56832i 0.0454220 + 0.286783i
\(378\) 13.2123 + 3.98237i 0.679568 + 0.204831i
\(379\) −9.05712 4.61483i −0.465233 0.237048i 0.205629 0.978630i \(-0.434076\pi\)
−0.670862 + 0.741582i \(0.734076\pi\)
\(380\) −5.89099 + 15.6525i −0.302201 + 0.802959i
\(381\) −18.3172 + 9.33306i −0.938417 + 0.478147i
\(382\) 3.68976 + 20.4526i 0.188784 + 1.04644i
\(383\) −1.59565 3.13165i −0.0815341 0.160020i 0.846640 0.532166i \(-0.178622\pi\)
−0.928174 + 0.372147i \(0.878622\pi\)
\(384\) −3.39343 10.7069i −0.173170 0.546386i
\(385\) 10.9358 17.4485i 0.557340 0.889258i
\(386\) 8.02605 + 23.0134i 0.408515 + 1.17135i
\(387\) −2.14489 2.95219i −0.109031 0.150068i
\(388\) 4.46668 + 22.0471i 0.226761 + 1.11927i
\(389\) −4.53896 28.6579i −0.230135 1.45301i −0.784184 0.620528i \(-0.786918\pi\)
0.554049 0.832484i \(-0.313082\pi\)
\(390\) −1.99400 3.17265i −0.100970 0.160654i
\(391\) −1.01120 + 0.734680i −0.0511386 + 0.0371543i
\(392\) −8.71429 + 1.96056i −0.440138 + 0.0990234i
\(393\) −1.30247 + 1.30247i −0.0657011 + 0.0657011i
\(394\) 8.32616 + 1.13662i 0.419466 + 0.0572622i
\(395\) −24.4848 + 9.85409i −1.23196 + 0.495813i
\(396\) −2.15823 + 18.8052i −0.108455 + 0.944998i
\(397\) −7.90375 24.3252i −0.396678 1.22085i −0.927647 0.373458i \(-0.878172\pi\)
0.530970 0.847391i \(-0.321828\pi\)
\(398\) −12.6597 + 26.2188i −0.634574 + 1.31423i
\(399\) −7.27715 −0.364313
\(400\) 1.82956 19.9161i 0.0914781 0.995807i
\(401\) 32.6649 1.63121 0.815603 0.578612i \(-0.196406\pi\)
0.815603 + 0.578612i \(0.196406\pi\)
\(402\) −6.64367 + 13.7593i −0.331356 + 0.686252i
\(403\) 0.962990 + 2.96378i 0.0479700 + 0.147636i
\(404\) −33.1513 3.80469i −1.64934 0.189290i
\(405\) −2.38833 0.598901i −0.118677 0.0297596i
\(406\) −12.9725 1.77091i −0.643815 0.0878886i
\(407\) −16.0952 + 16.0952i −0.797811 + 0.797811i
\(408\) 0.760568 + 0.481193i 0.0376537 + 0.0238226i
\(409\) 16.6756 12.1155i 0.824554 0.599073i −0.0934596 0.995623i \(-0.529793\pi\)
0.918013 + 0.396550i \(0.129793\pi\)
\(410\) −29.4113 + 7.41447i −1.45252 + 0.366175i
\(411\) 1.19326 + 7.53394i 0.0588591 + 0.371622i
\(412\) 32.0379 6.49079i 1.57839 0.319778i
\(413\) −5.18580 7.13764i −0.255177 0.351220i
\(414\) −3.65835 10.4897i −0.179798 0.515543i
\(415\) 10.4819 + 2.62844i 0.514534 + 0.129025i
\(416\) 6.74367 + 0.337796i 0.330636 + 0.0165618i
\(417\) −3.37230 6.61851i −0.165142 0.324110i
\(418\) −4.41149 24.4532i −0.215773 1.19605i
\(419\) −28.9741 + 14.7631i −1.41548 + 0.721223i −0.983542 0.180680i \(-0.942170\pi\)
−0.431938 + 0.901903i \(0.642170\pi\)
\(420\) 8.39095 2.30742i 0.409436 0.112591i
\(421\) −22.3551 11.3905i −1.08952 0.555139i −0.185509 0.982643i \(-0.559393\pi\)
−0.904014 + 0.427503i \(0.859393\pi\)
\(422\) 16.7824 + 5.05845i 0.816955 + 0.246241i
\(423\) −0.285364 1.80172i −0.0138749 0.0876025i
\(424\) 7.05204 4.18377i 0.342477 0.203182i
\(425\) 0.915669 + 1.31525i 0.0444164 + 0.0637989i
\(426\) −15.1015 + 2.72440i −0.731672 + 0.131998i
\(427\) −11.0298 8.01362i −0.533769 0.387806i
\(428\) −6.88156 8.66590i −0.332633 0.418882i
\(429\) 4.96057 + 2.52753i 0.239498 + 0.122031i
\(430\) −5.31688 2.13207i −0.256403 0.102818i
\(431\) 6.30072 + 2.04723i 0.303495 + 0.0986115i 0.456806 0.889567i \(-0.348994\pi\)
−0.153311 + 0.988178i \(0.548994\pi\)
\(432\) −15.0496 + 13.0391i −0.724074 + 0.627344i
\(433\) −7.65197 + 3.89888i −0.367730 + 0.187368i −0.628084 0.778145i \(-0.716161\pi\)
0.260354 + 0.965513i \(0.416161\pi\)
\(434\) −7.23552 + 0.154908i −0.347316 + 0.00743582i
\(435\) −10.4439 0.927918i −0.500746 0.0444903i
\(436\) −15.9888 + 9.02870i −0.765724 + 0.432396i
\(437\) 8.57194 + 11.7983i 0.410051 + 0.564387i
\(438\) 0.0249887 + 1.16719i 0.00119401 + 0.0557703i
\(439\) −6.36776 + 8.76448i −0.303917 + 0.418306i −0.933472 0.358650i \(-0.883237\pi\)
0.629555 + 0.776956i \(0.283237\pi\)
\(440\) 12.8403 + 26.7971i 0.612135 + 1.27750i
\(441\) 3.73920 + 5.14656i 0.178057 + 0.245074i
\(442\) −0.430809 + 0.327316i −0.0204915 + 0.0155688i
\(443\) 17.9298i 0.851869i 0.904754 + 0.425935i \(0.140055\pi\)
−0.904754 + 0.425935i \(0.859945\pi\)
\(444\) −9.61059 + 0.411702i −0.456098 + 0.0195385i
\(445\) −16.2141 + 25.8703i −0.768623 + 1.22637i
\(446\) 11.6931 + 3.52447i 0.553686 + 0.166888i
\(447\) 1.25564 2.46434i 0.0593898 0.116559i
\(448\) −5.27077 + 14.7685i −0.249020 + 0.697746i
\(449\) 18.8538i 0.889764i −0.895589 0.444882i \(-0.853246\pi\)
0.895589 0.444882i \(-0.146754\pi\)
\(450\) −13.5414 + 4.41867i −0.638349 + 0.208298i
\(451\) 31.8654 31.8654i 1.50048 1.50048i
\(452\) −18.3895 32.5656i −0.864968 1.53176i
\(453\) 3.34292 + 10.2885i 0.157064 + 0.483394i
\(454\) −16.8879 + 9.06528i −0.792590 + 0.425455i
\(455\) −0.462989 + 5.21102i −0.0217053 + 0.244296i
\(456\) 5.61436 8.87399i 0.262917 0.415563i
\(457\) −2.55999 2.55999i −0.119751 0.119751i 0.644692 0.764443i \(-0.276986\pi\)
−0.764443 + 0.644692i \(0.776986\pi\)
\(458\) −19.5730 + 14.8710i −0.914587 + 0.694876i
\(459\) 0.249605 1.57595i 0.0116506 0.0735589i
\(460\) −13.6249 10.8861i −0.635263 0.507565i
\(461\) −4.73563 29.8996i −0.220560 1.39256i −0.810794 0.585331i \(-0.800964\pi\)
0.590234 0.807232i \(-0.299036\pi\)
\(462\) −8.94471 + 9.33609i −0.416146 + 0.434354i
\(463\) 0.381536 2.40893i 0.0177315 0.111952i −0.977235 0.212159i \(-0.931950\pi\)
0.994967 + 0.100207i \(0.0319505\pi\)
\(464\) 12.1679 14.4528i 0.564880 0.670957i
\(465\) −5.78211 + 0.396488i −0.268139 + 0.0183867i
\(466\) −0.460467 21.5077i −0.0213307 0.996325i
\(467\) 11.8949 + 3.86489i 0.550430 + 0.178846i 0.571011 0.820943i \(-0.306551\pi\)
−0.0205806 + 0.999788i \(0.506551\pi\)
\(468\) −1.68041 4.50574i −0.0776772 0.208278i
\(469\) 19.0066 9.68433i 0.877642 0.447181i
\(470\) −1.88433 2.15631i −0.0869176 0.0994630i
\(471\) 4.97848 + 15.3222i 0.229396 + 0.706008i
\(472\) 12.7047 0.817001i 0.584783 0.0376055i
\(473\) 8.40612 1.33140i 0.386514 0.0612178i
\(474\) 16.3085 2.94215i 0.749075 0.135137i
\(475\) 15.3458 10.6836i 0.704112 0.490199i
\(476\) −0.439072 1.17730i −0.0201248 0.0539613i
\(477\) −4.72456 3.43260i −0.216323 0.157168i
\(478\) −2.88154 5.36810i −0.131799 0.245531i
\(479\) −0.395747 1.21798i −0.0180821 0.0556511i 0.941608 0.336710i \(-0.109314\pi\)
−0.959690 + 0.281059i \(0.909314\pi\)
\(480\) −3.65992 + 12.0124i −0.167052 + 0.548288i
\(481\) 1.78698 5.49977i 0.0814794 0.250768i
\(482\) 27.6438 4.98710i 1.25914 0.227156i
\(483\) 2.34494 7.21699i 0.106699 0.328384i
\(484\) −18.4587 12.2393i −0.839031 0.556334i
\(485\) 9.85817 23.1376i 0.447637 1.05062i
\(486\) 20.4116 + 9.85570i 0.925888 + 0.447064i
\(487\) 1.62331 10.2491i 0.0735590 0.464433i −0.923222 0.384266i \(-0.874455\pi\)
0.996781 0.0801673i \(-0.0255455\pi\)
\(488\) 18.2816 7.26754i 0.827570 0.328986i
\(489\) −2.02889 1.47407i −0.0917494 0.0666598i
\(490\) 9.26894 + 3.71685i 0.418728 + 0.167910i
\(491\) 9.73651 + 1.54211i 0.439403 + 0.0695946i 0.372217 0.928146i \(-0.378598\pi\)
0.0671861 + 0.997740i \(0.478598\pi\)
\(492\) 19.0271 0.815089i 0.857806 0.0367470i
\(493\) 1.51389i 0.0681821i
\(494\) 3.81899 + 5.02650i 0.171824 + 0.226153i
\(495\) 13.9056 15.9531i 0.625012 0.717038i
\(496\) 5.39334 8.94274i 0.242168 0.401541i
\(497\) 19.0887 + 9.72618i 0.856245 + 0.436279i
\(498\) −6.11011 2.95026i −0.273801 0.132204i
\(499\) 0.723475 + 0.723475i 0.0323872 + 0.0323872i 0.723115 0.690728i \(-0.242710\pi\)
−0.690728 + 0.723115i \(0.742710\pi\)
\(500\) −14.3070 + 17.1846i −0.639827 + 0.768519i
\(501\) 14.6124 14.6124i 0.652836 0.652836i
\(502\) 7.34741 + 21.0675i 0.327931 + 0.940290i
\(503\) 4.94794 9.71089i 0.220618 0.432987i −0.753996 0.656879i \(-0.771876\pi\)
0.974614 + 0.223892i \(0.0718762\pi\)
\(504\) 11.1450 0.716698i 0.496437 0.0319242i
\(505\) 28.1233 + 24.5139i 1.25147 + 1.09086i
\(506\) 25.6726 + 3.50462i 1.14129 + 0.155799i
\(507\) 11.4915 0.510356
\(508\) −28.0049 + 30.5117i −1.24252 + 1.35374i
\(509\) −2.48096 + 15.6641i −0.109966 + 0.694301i 0.869687 + 0.493604i \(0.164321\pi\)
−0.979653 + 0.200697i \(0.935679\pi\)
\(510\) −0.395579 0.925220i −0.0175165 0.0409694i
\(511\) 0.958027 1.31861i 0.0423806 0.0583319i
\(512\) −13.9428 17.8213i −0.616188 0.787599i
\(513\) −18.3875 2.91229i −0.811827 0.128581i
\(514\) 29.4250 10.2621i 1.29788 0.452643i
\(515\) −33.6225 14.3255i −1.48159 0.631256i
\(516\) 2.99766 + 1.98765i 0.131964 + 0.0875013i
\(517\) 4.04634 + 1.31473i 0.177958 + 0.0578220i
\(518\) 11.0314 + 7.65944i 0.484690 + 0.336536i
\(519\) 18.8536 + 6.12592i 0.827583 + 0.268898i
\(520\) −5.99729 4.58492i −0.262999 0.201062i
\(521\) 12.3800 4.02250i 0.542377 0.176229i −0.0249997 0.999687i \(-0.507958\pi\)
0.567376 + 0.823459i \(0.307958\pi\)
\(522\) −12.8831 3.88315i −0.563880 0.169961i
\(523\) −12.2440 + 16.8524i −0.535391 + 0.736903i −0.987940 0.154837i \(-0.950515\pi\)
0.452549 + 0.891740i \(0.350515\pi\)
\(524\) −1.54162 + 3.37543i −0.0673459 + 0.147456i
\(525\) −9.19095 3.19246i −0.401126 0.139330i
\(526\) 5.52178 + 3.83396i 0.240761 + 0.167168i
\(527\) 0.130907 + 0.826512i 0.00570238 + 0.0360034i
\(528\) −4.48384 18.1103i −0.195134 0.788151i
\(529\) 7.41142 2.40811i 0.322235 0.104701i
\(530\) −9.14686 0.615680i −0.397314 0.0267434i
\(531\) −4.11637 8.07883i −0.178635 0.350591i
\(532\) −13.7362 + 5.12291i −0.595540 + 0.222106i
\(533\) −3.53787 + 10.8884i −0.153242 + 0.471631i
\(534\) 13.2620 13.8423i 0.573904 0.599015i
\(535\) 0.846381 + 12.3430i 0.0365922 + 0.533636i
\(536\) −2.85429 + 30.6487i −0.123287 + 1.32382i
\(537\) −24.0924 3.81586i −1.03966 0.164667i
\(538\) 0.677007 + 31.6220i 0.0291878 + 1.36332i
\(539\) −14.6544 + 2.32103i −0.631210 + 0.0999739i
\(540\) 22.1252 2.47223i 0.952116 0.106388i
\(541\) −1.02616 0.162528i −0.0441181 0.00698762i 0.134336 0.990936i \(-0.457110\pi\)
−0.178455 + 0.983948i \(0.557110\pi\)
\(542\) −9.08196 1.23980i −0.390103 0.0532539i
\(543\) −1.94014 + 1.94014i −0.0832595 + 0.0832595i
\(544\) 1.77438 + 0.372873i 0.0760759 + 0.0159868i
\(545\) 20.4487 + 1.81682i 0.875924 + 0.0778241i
\(546\) 0.947951 3.14502i 0.0405686 0.134594i
\(547\) 23.3275 7.57956i 0.997411 0.324078i 0.235580 0.971855i \(-0.424301\pi\)
0.761830 + 0.647776i \(0.224301\pi\)
\(548\) 7.55605 + 13.3809i 0.322778 + 0.571604i
\(549\) −9.90753 9.90753i −0.422843 0.422843i
\(550\) 5.15586 32.8194i 0.219847 1.39942i
\(551\) 17.6634 0.752487
\(552\) 6.99149 + 8.42745i 0.297578 + 0.358696i
\(553\) −20.6143 10.5035i −0.876611 0.446656i
\(554\) 22.7413 12.2073i 0.966184 0.518638i
\(555\) 9.11291 + 5.71148i 0.386821 + 0.242439i
\(556\) −11.0247 10.1190i −0.467552 0.429139i
\(557\) −33.5383 −1.42106 −0.710532 0.703665i \(-0.751546\pi\)
−0.710532 + 0.703665i \(0.751546\pi\)
\(558\) −7.36937 1.00601i −0.311970 0.0425877i
\(559\) −1.74928 + 1.27093i −0.0739866 + 0.0537544i
\(560\) 14.2142 10.2624i 0.600661 0.433667i
\(561\) 1.20948 + 0.878737i 0.0510642 + 0.0371003i
\(562\) 28.7387 + 27.5340i 1.21227 + 1.16145i
\(563\) −19.4057 + 14.0990i −0.817851 + 0.594203i −0.916096 0.400959i \(-0.868677\pi\)
0.0982454 + 0.995162i \(0.468677\pi\)
\(564\) 0.884097 + 1.56563i 0.0372272 + 0.0659251i
\(565\) −3.70047 + 41.6494i −0.155680 + 1.75220i
\(566\) 21.3410 + 20.4464i 0.897031 + 0.859426i
\(567\) −0.979893 1.92315i −0.0411516 0.0807646i
\(568\) −26.5875 + 15.7736i −1.11559 + 0.661845i
\(569\) −5.82619 + 17.9312i −0.244247 + 0.751714i 0.751513 + 0.659719i \(0.229325\pi\)
−0.995759 + 0.0919954i \(0.970675\pi\)
\(570\) −10.7951 + 4.61545i −0.452156 + 0.193320i
\(571\) 8.10626 15.9094i 0.339236 0.665789i −0.656865 0.754008i \(-0.728118\pi\)
0.996101 + 0.0882198i \(0.0281178\pi\)
\(572\) 11.1428 + 1.27883i 0.465903 + 0.0534704i
\(573\) −8.57535 + 11.8030i −0.358240 + 0.493076i
\(574\) −21.8399 15.1642i −0.911580 0.632940i
\(575\) 5.65040 + 18.6615i 0.235638 + 0.778239i
\(576\) −7.72445 + 14.1435i −0.321852 + 0.589312i
\(577\) 8.38025 1.32730i 0.348874 0.0552562i 0.0204617 0.999791i \(-0.493486\pi\)
0.328413 + 0.944534i \(0.393486\pi\)
\(578\) 21.0547 11.3020i 0.875760 0.470100i
\(579\) −7.76753 + 15.2446i −0.322808 + 0.633546i
\(580\) −20.3669 + 5.60067i −0.845689 + 0.232555i
\(581\) 4.30053 + 8.44027i 0.178416 + 0.350161i
\(582\) −9.00628 + 12.9711i −0.373322 + 0.537671i
\(583\) 12.1360 6.18358i 0.502620 0.256098i
\(584\) 0.868834 + 2.18557i 0.0359526 + 0.0904393i
\(585\) −1.30773 + 5.21505i −0.0540681 + 0.215616i
\(586\) 20.5550 + 9.92496i 0.849120 + 0.409996i
\(587\) 14.3278 10.4098i 0.591373 0.429658i −0.251433 0.967875i \(-0.580902\pi\)
0.842806 + 0.538217i \(0.180902\pi\)
\(588\) −5.22583 3.46507i −0.215509 0.142897i
\(589\) 9.64340 1.52736i 0.397349 0.0629339i
\(590\) −12.2197 7.29909i −0.503077 0.300499i
\(591\) 3.46740 + 4.77246i 0.142630 + 0.196313i
\(592\) −17.8509 + 7.54270i −0.733669 + 0.310003i
\(593\) 1.31909 + 1.31909i 0.0541685 + 0.0541685i 0.733672 0.679504i \(-0.237805\pi\)
−0.679504 + 0.733672i \(0.737805\pi\)
\(594\) −26.3373 + 20.0103i −1.08063 + 0.821031i
\(595\) −0.341694 + 1.36263i −0.0140081 + 0.0558623i
\(596\) 0.635302 5.53557i 0.0260230 0.226746i
\(597\) −19.4382 + 6.31586i −0.795553 + 0.258491i
\(598\) −6.21555 + 2.16771i −0.254173 + 0.0886441i
\(599\) 29.2304i 1.19432i 0.802122 + 0.597160i \(0.203704\pi\)
−0.802122 + 0.597160i \(0.796296\pi\)
\(600\) 10.9839 8.74474i 0.448414 0.357003i
\(601\) 32.0400i 1.30694i 0.756954 + 0.653468i \(0.226687\pi\)
−0.756954 + 0.653468i \(0.773313\pi\)
\(602\) −1.65359 4.74140i −0.0673951 0.193245i
\(603\) 20.8497 6.77448i 0.849065 0.275878i
\(604\) 13.5528 + 17.0670i 0.551456 + 0.694445i
\(605\) 9.24503 + 22.9714i 0.375864 + 0.933920i
\(606\) −14.1711 18.6519i −0.575662 0.757680i
\(607\) 26.5782 + 26.5782i 1.07878 + 1.07878i 0.996619 + 0.0821564i \(0.0261807\pi\)
0.0821564 + 0.996619i \(0.473819\pi\)
\(608\) 4.35052 20.7027i 0.176437 0.839606i
\(609\) −5.40235 7.43570i −0.218914 0.301310i
\(610\) −21.4444 4.89204i −0.868258 0.198073i
\(611\) −1.06758 + 0.169088i −0.0431898 + 0.00684059i
\(612\) −0.256410 1.26561i −0.0103648 0.0511593i
\(613\) −19.6715 + 14.2922i −0.794524 + 0.577256i −0.909303 0.416135i \(-0.863384\pi\)
0.114778 + 0.993391i \(0.463384\pi\)
\(614\) −1.21737 + 2.52123i −0.0491291 + 0.101748i
\(615\) −18.0418 11.3076i −0.727514 0.455967i
\(616\) −10.3115 + 23.9194i −0.415463 + 0.963742i
\(617\) 22.6212 11.5261i 0.910695 0.464022i 0.0651194 0.997877i \(-0.479257\pi\)
0.845576 + 0.533855i \(0.179257\pi\)
\(618\) 18.8491 + 13.0875i 0.758221 + 0.526458i
\(619\) 0.396732 + 0.778630i 0.0159460 + 0.0312958i 0.898842 0.438273i \(-0.144410\pi\)
−0.882896 + 0.469568i \(0.844410\pi\)
\(620\) −10.6351 + 4.81884i −0.427115 + 0.193529i
\(621\) 8.81328 17.2970i 0.353665 0.694106i
\(622\) −13.0757 24.3591i −0.524290 0.976712i
\(623\) −26.4340 + 4.18673i −1.05906 + 0.167738i
\(624\) 3.10379 + 3.58236i 0.124251 + 0.143409i
\(625\) 24.0684 6.76117i 0.962735 0.270447i
\(626\) 0.660402 0.951132i 0.0263950 0.0380149i
\(627\) 10.2527 14.1117i 0.409455 0.563566i
\(628\) 20.1836 + 25.4171i 0.805415 + 1.01425i
\(629\) 0.704976 1.38359i 0.0281092 0.0551675i
\(630\) −10.7195 6.40298i −0.427074 0.255101i
\(631\) −9.41719 + 28.9831i −0.374892 + 1.15380i 0.568659 + 0.822573i \(0.307462\pi\)
−0.943551 + 0.331226i \(0.892538\pi\)
\(632\) 28.7124 17.0343i 1.14212 0.677587i
\(633\) 5.58617 + 10.9635i 0.222030 + 0.435759i
\(634\) −9.10064 + 9.49884i −0.361433 + 0.377247i
\(635\) 45.1311 10.3552i 1.79097 0.410935i
\(636\) 5.54550 + 1.54281i 0.219893 + 0.0611762i
\(637\) 3.04952 2.21561i 0.120827 0.0877856i
\(638\) 21.7110 22.6610i 0.859547 0.897157i
\(639\) 17.8125 + 12.9415i 0.704650 + 0.511958i
\(640\) 1.54798 + 25.2508i 0.0611892 + 0.998126i
\(641\) 13.8729 10.0792i 0.547945 0.398106i −0.279082 0.960267i \(-0.590030\pi\)
0.827027 + 0.562162i \(0.190030\pi\)
\(642\) 1.05070 7.69674i 0.0414678 0.303766i
\(643\) 20.0410 0.790339 0.395169 0.918608i \(-0.370686\pi\)
0.395169 + 0.918608i \(0.370686\pi\)
\(644\) −0.654289 15.2734i −0.0257826 0.601857i
\(645\) −1.50138 3.73051i −0.0591166 0.146889i
\(646\) 0.801731 + 1.49356i 0.0315437 + 0.0587635i
\(647\) −19.6798 10.0274i −0.773695 0.394217i 0.0221217 0.999755i \(-0.492958\pi\)
−0.795816 + 0.605538i \(0.792958\pi\)
\(648\) 3.10114 + 0.288807i 0.121824 + 0.0113454i
\(649\) 21.1474 0.830107
\(650\) 2.61822 + 8.02378i 0.102695 + 0.314719i
\(651\) −3.59240 3.59240i −0.140797 0.140797i
\(652\) −4.86739 1.35415i −0.190622 0.0530326i
\(653\) −8.31974 + 2.70325i −0.325577 + 0.105786i −0.467245 0.884128i \(-0.654753\pi\)
0.141668 + 0.989914i \(0.454753\pi\)
\(654\) −12.3414 3.71987i −0.482588 0.145458i
\(655\) 3.55910 2.13200i 0.139066 0.0833040i
\(656\) 35.3413 14.9330i 1.37985 0.583038i
\(657\) 1.18444 1.18444i 0.0462096 0.0462096i
\(658\) 0.339526 2.48715i 0.0132361 0.0969592i
\(659\) −31.1771 4.93797i −1.21449 0.192356i −0.483868 0.875141i \(-0.660768\pi\)
−0.730619 + 0.682785i \(0.760768\pi\)
\(660\) −7.34746 + 19.5224i −0.286000 + 0.759910i
\(661\) −27.6981 + 4.38695i −1.07733 + 0.170633i −0.669787 0.742553i \(-0.733615\pi\)
−0.407544 + 0.913185i \(0.633615\pi\)
\(662\) −34.0599 + 0.729201i −1.32378 + 0.0283412i
\(663\) −0.375133 0.0594153i −0.0145690 0.00230750i
\(664\) −13.6102 1.26751i −0.528179 0.0491889i
\(665\) 15.8986 + 3.98675i 0.616521 + 0.154599i
\(666\) 9.96606 + 9.54827i 0.386177 + 0.369988i
\(667\) −5.69175 + 17.5174i −0.220385 + 0.678276i
\(668\) 17.2954 37.8689i 0.669179 1.46519i
\(669\) 3.89216 + 7.63879i 0.150480 + 0.295333i
\(670\) 22.0526 26.4206i 0.851965 1.02072i
\(671\) 31.0796 10.0984i 1.19982 0.389844i
\(672\) −10.0457 + 4.50050i −0.387523 + 0.173611i
\(673\) 5.82866 + 36.8007i 0.224678 + 1.41856i 0.799687 + 0.600417i \(0.204999\pi\)
−0.575009 + 0.818147i \(0.695001\pi\)
\(674\) −28.0791 + 40.4405i −1.08157 + 1.55771i
\(675\) −21.9455 11.7447i −0.844684 0.452054i
\(676\) 21.6911 8.08969i 0.834274 0.311142i
\(677\) 4.60407 6.33696i 0.176949 0.243549i −0.711325 0.702863i \(-0.751905\pi\)
0.888274 + 0.459314i \(0.151905\pi\)
\(678\) 7.57655 25.1367i 0.290976 0.965371i
\(679\) 20.9673 6.81268i 0.804650 0.261447i
\(680\) −1.39801 1.46795i −0.0536114 0.0562933i
\(681\) −12.7966 4.15788i −0.490368 0.159330i
\(682\) 9.89368 14.2492i 0.378849 0.545630i
\(683\) 28.1183 + 9.13619i 1.07592 + 0.349586i 0.792789 0.609496i \(-0.208628\pi\)
0.283127 + 0.959082i \(0.408628\pi\)
\(684\) −14.7666 + 2.99168i −0.564616 + 0.114390i
\(685\) 1.52049 17.1133i 0.0580947 0.653867i
\(686\) 9.27252 + 26.5875i 0.354027 + 1.01512i
\(687\) −17.0435 2.69942i −0.650250 0.102989i
\(688\) 7.05756 + 1.64158i 0.269067 + 0.0625846i
\(689\) −2.03394 + 2.79947i −0.0774868 + 0.106651i
\(690\) −1.09876 12.1931i −0.0418290 0.464183i
\(691\) 7.04572 44.4849i 0.268032 1.69229i −0.375464 0.926837i \(-0.622517\pi\)
0.643496 0.765450i \(-0.277483\pi\)
\(692\) 39.9002 1.70926i 1.51678 0.0649764i
\(693\) 18.5511 0.704698
\(694\) 6.83784 50.0896i 0.259561 1.90137i
\(695\) 3.74164 + 16.3071i 0.141928 + 0.618564i
\(696\) 13.2353 0.851118i 0.501682 0.0322615i
\(697\) −1.39571 + 2.73924i −0.0528664 + 0.103756i
\(698\) 36.8616 12.8557i 1.39523 0.486595i
\(699\) 10.6785 10.6785i 0.403897 0.403897i
\(700\) −19.5960 + 0.444146i −0.740661 + 0.0167871i
\(701\) −14.4831 14.4831i −0.547020 0.547020i 0.378558 0.925578i \(-0.376420\pi\)
−0.925578 + 0.378558i \(0.876420\pi\)
\(702\) 3.65385 7.56728i 0.137906 0.285609i
\(703\) −16.1432 8.22537i −0.608852 0.310226i
\(704\) −21.2128 31.0282i −0.799486 1.16942i
\(705\) 0.177905 2.00235i 0.00670027 0.0754127i
\(706\) −27.3371 + 20.7699i −1.02885 + 0.781686i
\(707\) 32.7033i 1.22993i
\(708\) 6.58410 + 6.04317i 0.247446 + 0.227116i
\(709\) −29.5849 4.68580i −1.11109 0.175979i −0.426200 0.904629i \(-0.640148\pi\)
−0.684886 + 0.728650i \(0.740148\pi\)
\(710\) 34.4853 + 2.32123i 1.29421 + 0.0871141i
\(711\) −19.2361 13.9758i −0.721410 0.524135i
\(712\) 15.2885 35.4645i 0.572962 1.32909i
\(713\) −1.59269 + 10.0558i −0.0596467 + 0.376594i
\(714\) 0.383530 0.794308i 0.0143533 0.0297262i
\(715\) −9.45278 8.23959i −0.353514 0.308143i
\(716\) −48.1626 + 9.75762i −1.79992 + 0.364659i
\(717\) 1.32165 4.06761i 0.0493578 0.151908i
\(718\) −6.47177 35.8734i −0.241524 1.33878i
\(719\) 5.61459 17.2799i 0.209389 0.644432i −0.790116 0.612958i \(-0.789980\pi\)
0.999505 0.0314748i \(-0.0100204\pi\)
\(720\) 16.0781 8.13174i 0.599197 0.303052i
\(721\) −9.89990 30.4687i −0.368691 1.13472i
\(722\) −6.24852 + 3.35415i −0.232546 + 0.124828i
\(723\) 15.9529 + 11.5905i 0.593296 + 0.431055i
\(724\) −2.29637 + 5.02798i −0.0853439 + 0.186863i
\(725\) 22.3087 + 7.74887i 0.828523 + 0.287786i
\(726\) −2.76030 15.3005i −0.102444 0.567856i
\(727\) −22.1162 + 3.50286i −0.820244 + 0.129914i −0.552433 0.833557i \(-0.686300\pi\)
−0.267811 + 0.963471i \(0.586300\pi\)
\(728\) −0.424669 6.60380i −0.0157393 0.244753i
\(729\) 3.89612 + 11.9910i 0.144301 + 0.444112i
\(730\) 0.584843 2.56367i 0.0216460 0.0948858i
\(731\) −0.517335 + 0.263595i −0.0191343 + 0.00974943i
\(732\) 12.5622 + 5.73738i 0.464312 + 0.212060i
\(733\) −8.39511 2.72774i −0.310081 0.100751i 0.149843 0.988710i \(-0.452123\pi\)
−0.459924 + 0.887959i \(0.652123\pi\)
\(734\) −28.2103 + 0.603966i −1.04126 + 0.0222928i
\(735\) 2.61735 + 6.50342i 0.0965425 + 0.239882i
\(736\) 19.1297 + 10.9857i 0.705129 + 0.404937i
\(737\) −7.99862 + 50.5013i −0.294633 + 1.86024i
\(738\) −19.7308 18.9037i −0.726302 0.695854i
\(739\) 5.43042 + 34.2863i 0.199761 + 1.26124i 0.860042 + 0.510224i \(0.170437\pi\)
−0.660280 + 0.751019i \(0.729563\pi\)
\(740\) 21.2221 + 4.36565i 0.780139 + 0.160485i
\(741\) −0.693233 + 4.37690i −0.0254665 + 0.160789i
\(742\) −4.86161 6.39879i −0.178475 0.234907i
\(743\) 4.23284 + 4.23284i 0.155288 + 0.155288i 0.780475 0.625187i \(-0.214977\pi\)
−0.625187 + 0.780475i \(0.714977\pi\)
\(744\) 7.15225 1.60913i 0.262214 0.0589936i
\(745\) −4.09331 + 4.69600i −0.149967 + 0.172048i
\(746\) −19.4889 36.3064i −0.713541 1.32927i
\(747\) 3.00835 + 9.25875i 0.110070 + 0.338760i
\(748\) 2.90159 + 0.807248i 0.106093 + 0.0295159i
\(749\) −7.66869 + 7.66869i −0.280208 + 0.280208i
\(750\) −15.6588 + 1.09350i −0.571779 + 0.0399288i
\(751\) 37.3559i 1.36314i 0.731754 + 0.681569i \(0.238702\pi\)
−0.731754 + 0.681569i \(0.761298\pi\)
\(752\) 2.77096 + 2.33288i 0.101047 + 0.0850713i
\(753\) −7.11075 + 13.9556i −0.259130 + 0.508572i
\(754\) −2.30091 + 7.63373i −0.0837942 + 0.278004i
\(755\) −1.66689 24.3089i −0.0606645 0.884690i
\(756\) 14.3774 + 13.1962i 0.522901 + 0.479941i
\(757\) 12.0844i 0.439214i −0.975588 0.219607i \(-0.929523\pi\)
0.975588 0.219607i \(-0.0704775\pi\)
\(758\) −8.69673 11.4465i −0.315880 0.415757i
\(759\) 10.6912 + 14.7152i 0.388067 + 0.534129i
\(760\) −17.1274 + 16.3115i −0.621277 + 0.591679i
\(761\) 9.36705 12.8926i 0.339555 0.467358i −0.604756 0.796411i \(-0.706729\pi\)
0.944311 + 0.329053i \(0.106729\pi\)
\(762\) −29.0665 + 0.622296i −1.05297 + 0.0225434i
\(763\) 10.5776 + 14.5588i 0.382934 + 0.527063i
\(764\) −7.87771 + 28.3158i −0.285006 + 1.02443i
\(765\) −0.565908 + 1.32821i −0.0204605 + 0.0480216i
\(766\) −0.106393 4.96944i −0.00384412 0.179553i
\(767\) −4.78700 + 2.43910i −0.172849 + 0.0880707i
\(768\) 2.26230 15.7223i 0.0816337 0.567329i
\(769\) 0.555140 + 0.180376i 0.0200188 + 0.00650452i 0.319009 0.947752i \(-0.396650\pi\)
−0.298990 + 0.954256i \(0.596650\pi\)
\(770\) 24.6565 15.4965i 0.888558 0.558455i
\(771\) 19.4919 + 9.93160i 0.701982 + 0.357678i
\(772\) −3.93005 + 34.2436i −0.141445 + 1.23245i
\(773\) −5.69371