Properties

Label 546.2.bv.a.473.18
Level $546$
Weight $2$
Character 546.473
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 473.18
Character \(\chi\) \(=\) 546.473
Dual form 546.2.bv.a.359.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +(1.72288 + 0.178019i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.250746 - 0.935798i) q^{5} +(-0.617867 + 1.61810i) q^{6} +(0.932449 + 2.47599i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.93662 + 0.613411i) q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +(1.72288 + 0.178019i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.250746 - 0.935798i) q^{5} +(-0.617867 + 1.61810i) q^{6} +(0.932449 + 2.47599i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.93662 + 0.613411i) q^{9} +(0.839013 + 0.484404i) q^{10} +(-0.265234 - 0.989868i) q^{11} +(-1.40305 - 1.01561i) q^{12} +(1.28292 + 3.36959i) q^{13} +(-2.63296 + 0.259843i) q^{14} +(0.598595 - 1.56763i) q^{15} +(0.500000 + 0.866025i) q^{16} +(2.05787 - 3.56434i) q^{17} +(-1.35256 + 2.67779i) q^{18} +(-2.67167 - 0.715871i) q^{19} +(-0.685051 + 0.685051i) q^{20} +(1.16572 + 4.43183i) q^{21} +1.02479 q^{22} +(-0.318592 - 0.551817i) q^{23} +(1.34414 - 1.09238i) q^{24} +(3.51728 + 2.03070i) q^{25} +(-3.58682 + 0.367090i) q^{26} +(4.95024 + 1.57961i) q^{27} +(0.430471 - 2.61050i) q^{28} +3.48270i q^{29} +(1.35928 + 0.983930i) q^{30} +(0.646325 + 2.41212i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-0.280751 - 1.75264i) q^{33} +(2.91027 + 2.91027i) q^{34} +(2.55084 - 0.251738i) q^{35} +(-2.23648 - 1.99954i) q^{36} +(-0.748834 + 2.79469i) q^{37} +(1.38296 - 2.39535i) q^{38} +(1.61046 + 6.03377i) q^{39} +(-0.484404 - 0.839013i) q^{40} +(-0.0484181 - 0.0484181i) q^{41} +(-4.58253 - 0.0210399i) q^{42} -8.67865i q^{43} +(-0.265234 + 0.989868i) q^{44} +(1.31037 - 2.59427i) q^{45} +(0.615472 - 0.164915i) q^{46} +(3.23906 + 0.867903i) q^{47} +(0.707270 + 1.58107i) q^{48} +(-5.26108 + 4.61748i) q^{49} +(-2.87185 + 2.87185i) q^{50} +(4.17998 - 5.77458i) q^{51} +(0.573754 - 3.55961i) q^{52} +(-6.87259 - 3.96789i) q^{53} +(-2.80700 + 4.37273i) q^{54} -0.992823 q^{55} +(2.41013 + 1.09145i) q^{56} +(-4.47551 - 1.70897i) q^{57} +(-3.36403 - 0.901389i) q^{58} +(-1.50208 - 5.60584i) q^{59} +(-1.30221 + 1.05831i) q^{60} +(0.594016 + 1.02887i) q^{61} -2.49721 q^{62} +(1.21945 + 7.84302i) q^{63} -1.00000i q^{64} +(3.47494 - 0.355640i) q^{65} +(1.76558 + 0.182432i) q^{66} +(-0.436237 - 1.62806i) q^{67} +(-3.56434 + 2.05787i) q^{68} +(-0.450660 - 1.00743i) q^{69} +(-0.417044 + 2.52907i) q^{70} +(-8.55610 - 8.55610i) q^{71} +(2.51025 - 1.64276i) q^{72} +(-12.7721 + 3.42226i) q^{73} +(-2.50565 - 1.44664i) q^{74} +(5.69835 + 4.12480i) q^{75} +(1.95579 + 1.95579i) q^{76} +(2.20359 - 1.57972i) q^{77} +(-6.24500 - 0.00607038i) q^{78} +(-0.0157356 - 0.0272549i) q^{79} +(0.935798 - 0.250746i) q^{80} +(8.24745 + 3.60271i) q^{81} +(0.0592998 - 0.0342367i) q^{82} +(-6.06316 - 6.06316i) q^{83} +(1.20637 - 4.42094i) q^{84} +(-2.81950 - 2.81950i) q^{85} +(8.38293 + 2.24620i) q^{86} +(-0.619988 + 6.00027i) q^{87} +(-0.887491 - 0.512393i) q^{88} +(6.23472 + 1.67059i) q^{89} +(2.16672 + 1.93717i) q^{90} +(-7.14682 + 6.31847i) q^{91} +0.637183i q^{92} +(0.684135 + 4.27084i) q^{93} +(-1.67666 + 2.90406i) q^{94} +(-1.33982 + 2.32064i) q^{95} +(-1.71025 + 0.273960i) q^{96} +(-8.64212 + 8.64212i) q^{97} +(-3.09847 - 6.27690i) q^{98} +(-0.171696 - 3.06956i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144q - 16q^{7} + O(q^{10}) \) \( 144q - 16q^{7} + 72q^{16} + 16q^{18} + 8q^{19} + 8q^{21} + 24q^{27} - 8q^{28} - 8q^{31} + 12q^{33} - 8q^{37} + 16q^{39} - 40q^{45} + 8q^{46} + 8q^{52} - 12q^{54} - 32q^{55} + 16q^{57} + 8q^{58} - 32q^{61} - 40q^{63} - 32q^{66} - 8q^{67} + 16q^{72} + 80q^{73} - 16q^{76} + 16q^{78} - 112q^{79} - 48q^{81} + 16q^{84} - 80q^{85} + 96q^{87} - 32q^{91} + 36q^{93} - 64q^{94} - 144q^{97} - 32q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) 1.72288 + 0.178019i 0.994704 + 0.102779i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) 0.250746 0.935798i 0.112137 0.418501i −0.886920 0.461924i \(-0.847159\pi\)
0.999057 + 0.0434222i \(0.0138261\pi\)
\(6\) −0.617867 + 1.61810i −0.252243 + 0.660586i
\(7\) 0.932449 + 2.47599i 0.352433 + 0.935837i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 2.93662 + 0.613411i 0.978873 + 0.204470i
\(10\) 0.839013 + 0.484404i 0.265319 + 0.153182i
\(11\) −0.265234 0.989868i −0.0799712 0.298456i 0.914343 0.404940i \(-0.132708\pi\)
−0.994314 + 0.106483i \(0.966041\pi\)
\(12\) −1.40305 1.01561i −0.405025 0.293181i
\(13\) 1.28292 + 3.36959i 0.355817 + 0.934555i
\(14\) −2.63296 + 0.259843i −0.703688 + 0.0694460i
\(15\) 0.598595 1.56763i 0.154557 0.404760i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 2.05787 3.56434i 0.499107 0.864479i −0.500892 0.865510i \(-0.666995\pi\)
0.999999 + 0.00103068i \(0.000328075\pi\)
\(18\) −1.35256 + 2.67779i −0.318802 + 0.631162i
\(19\) −2.67167 0.715871i −0.612922 0.164232i −0.0610140 0.998137i \(-0.519433\pi\)
−0.551908 + 0.833905i \(0.686100\pi\)
\(20\) −0.685051 + 0.685051i −0.153182 + 0.153182i
\(21\) 1.16572 + 4.43183i 0.254381 + 0.967104i
\(22\) 1.02479 0.218485
\(23\) −0.318592 0.551817i −0.0664309 0.115062i 0.830897 0.556426i \(-0.187828\pi\)
−0.897328 + 0.441365i \(0.854495\pi\)
\(24\) 1.34414 1.09238i 0.274371 0.222981i
\(25\) 3.51728 + 2.03070i 0.703457 + 0.406141i
\(26\) −3.58682 + 0.367090i −0.703432 + 0.0719923i
\(27\) 4.95024 + 1.57961i 0.952673 + 0.303996i
\(28\) 0.430471 2.61050i 0.0813514 0.493338i
\(29\) 3.48270i 0.646721i 0.946276 + 0.323361i \(0.104813\pi\)
−0.946276 + 0.323361i \(0.895187\pi\)
\(30\) 1.35928 + 0.983930i 0.248170 + 0.179640i
\(31\) 0.646325 + 2.41212i 0.116083 + 0.433229i 0.999366 0.0356126i \(-0.0113382\pi\)
−0.883282 + 0.468841i \(0.844672\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) −0.280751 1.75264i −0.0488724 0.305095i
\(34\) 2.91027 + 2.91027i 0.499107 + 0.499107i
\(35\) 2.55084 0.251738i 0.431170 0.0425515i
\(36\) −2.23648 1.99954i −0.372747 0.333256i
\(37\) −0.748834 + 2.79469i −0.123107 + 0.459443i −0.999765 0.0216713i \(-0.993101\pi\)
0.876658 + 0.481115i \(0.159768\pi\)
\(38\) 1.38296 2.39535i 0.224345 0.388577i
\(39\) 1.61046 + 6.03377i 0.257880 + 0.966177i
\(40\) −0.484404 0.839013i −0.0765911 0.132660i
\(41\) −0.0484181 0.0484181i −0.00756163 0.00756163i 0.703316 0.710877i \(-0.251702\pi\)
−0.710877 + 0.703316i \(0.751702\pi\)
\(42\) −4.58253 0.0210399i −0.707099 0.00324653i
\(43\) 8.67865i 1.32348i −0.749733 0.661741i \(-0.769818\pi\)
0.749733 0.661741i \(-0.230182\pi\)
\(44\) −0.265234 + 0.989868i −0.0399856 + 0.149228i
\(45\) 1.31037 2.59427i 0.195339 0.386731i
\(46\) 0.615472 0.164915i 0.0907463 0.0243154i
\(47\) 3.23906 + 0.867903i 0.472465 + 0.126597i 0.487192 0.873295i \(-0.338021\pi\)
−0.0147269 + 0.999892i \(0.504688\pi\)
\(48\) 0.707270 + 1.58107i 0.102086 + 0.228207i
\(49\) −5.26108 + 4.61748i −0.751582 + 0.659639i
\(50\) −2.87185 + 2.87185i −0.406141 + 0.406141i
\(51\) 4.17998 5.77458i 0.585315 0.808603i
\(52\) 0.573754 3.55961i 0.0795654 0.493629i
\(53\) −6.87259 3.96789i −0.944023 0.545032i −0.0528037 0.998605i \(-0.516816\pi\)
−0.891219 + 0.453573i \(0.850149\pi\)
\(54\) −2.80700 + 4.37273i −0.381984 + 0.595053i
\(55\) −0.992823 −0.133872
\(56\) 2.41013 + 1.09145i 0.322067 + 0.145851i
\(57\) −4.47551 1.70897i −0.592796 0.226358i
\(58\) −3.36403 0.901389i −0.441719 0.118358i
\(59\) −1.50208 5.60584i −0.195554 0.729818i −0.992123 0.125270i \(-0.960020\pi\)
0.796568 0.604548i \(-0.206646\pi\)
\(60\) −1.30221 + 1.05831i −0.168115 + 0.136627i
\(61\) 0.594016 + 1.02887i 0.0760560 + 0.131733i 0.901545 0.432685i \(-0.142434\pi\)
−0.825489 + 0.564418i \(0.809101\pi\)
\(62\) −2.49721 −0.317146
\(63\) 1.21945 + 7.84302i 0.153636 + 0.988128i
\(64\) 1.00000i 0.125000i
\(65\) 3.47494 0.355640i 0.431013 0.0441118i
\(66\) 1.76558 + 0.182432i 0.217328 + 0.0224558i
\(67\) −0.436237 1.62806i −0.0532948 0.198899i 0.934145 0.356893i \(-0.116164\pi\)
−0.987440 + 0.157994i \(0.949497\pi\)
\(68\) −3.56434 + 2.05787i −0.432239 + 0.249554i
\(69\) −0.450660 1.00743i −0.0542531 0.121280i
\(70\) −0.417044 + 2.52907i −0.0498463 + 0.302282i
\(71\) −8.55610 8.55610i −1.01542 1.01542i −0.999879 0.0155429i \(-0.995052\pi\)
−0.0155429 0.999879i \(-0.504948\pi\)
\(72\) 2.51025 1.64276i 0.295836 0.193601i
\(73\) −12.7721 + 3.42226i −1.49486 + 0.400545i −0.911373 0.411581i \(-0.864977\pi\)
−0.583482 + 0.812126i \(0.698310\pi\)
\(74\) −2.50565 1.44664i −0.291275 0.168168i
\(75\) 5.69835 + 4.12480i 0.657988 + 0.476291i
\(76\) 1.95579 + 1.95579i 0.224345 + 0.224345i
\(77\) 2.20359 1.57972i 0.251122 0.180026i
\(78\) −6.24500 0.00607038i −0.707106 0.000687335i
\(79\) −0.0157356 0.0272549i −0.00177039 0.00306641i 0.865139 0.501532i \(-0.167230\pi\)
−0.866909 + 0.498466i \(0.833897\pi\)
\(80\) 0.935798 0.250746i 0.104625 0.0280343i
\(81\) 8.24745 + 3.60271i 0.916384 + 0.400301i
\(82\) 0.0592998 0.0342367i 0.00654856 0.00378082i
\(83\) −6.06316 6.06316i −0.665518 0.665518i 0.291157 0.956675i \(-0.405960\pi\)
−0.956675 + 0.291157i \(0.905960\pi\)
\(84\) 1.20637 4.42094i 0.131626 0.482364i
\(85\) −2.81950 2.81950i −0.305817 0.305817i
\(86\) 8.38293 + 2.24620i 0.903955 + 0.242214i
\(87\) −0.619988 + 6.00027i −0.0664697 + 0.643296i
\(88\) −0.887491 0.512393i −0.0946069 0.0546213i
\(89\) 6.23472 + 1.67059i 0.660879 + 0.177082i 0.573643 0.819106i \(-0.305530\pi\)
0.0872363 + 0.996188i \(0.472196\pi\)
\(90\) 2.16672 + 1.93717i 0.228393 + 0.204196i
\(91\) −7.14682 + 6.31847i −0.749190 + 0.662355i
\(92\) 0.637183i 0.0664309i
\(93\) 0.684135 + 4.27084i 0.0709415 + 0.442866i
\(94\) −1.67666 + 2.90406i −0.172934 + 0.299531i
\(95\) −1.33982 + 2.32064i −0.137463 + 0.238092i
\(96\) −1.71025 + 0.273960i −0.174551 + 0.0279610i
\(97\) −8.64212 + 8.64212i −0.877475 + 0.877475i −0.993273 0.115798i \(-0.963057\pi\)
0.115798 + 0.993273i \(0.463057\pi\)
\(98\) −3.09847 6.27690i −0.312993 0.634063i
\(99\) −0.171696 3.06956i −0.0172561 0.308503i
\(100\) −2.03070 3.51728i −0.203070 0.351728i
\(101\) 5.68164 9.84089i 0.565344 0.979205i −0.431673 0.902030i \(-0.642077\pi\)
0.997018 0.0771748i \(-0.0245900\pi\)
\(102\) 4.49596 + 5.53212i 0.445166 + 0.547762i
\(103\) 12.5991 7.27409i 1.24143 0.716738i 0.272042 0.962285i \(-0.412301\pi\)
0.969385 + 0.245548i \(0.0789678\pi\)
\(104\) 3.28982 + 1.47550i 0.322593 + 0.144685i
\(105\) 4.43959 + 0.0203837i 0.433260 + 0.00198924i
\(106\) 5.61145 5.61145i 0.545032 0.545032i
\(107\) −7.41867 + 4.28317i −0.717189 + 0.414070i −0.813717 0.581261i \(-0.802560\pi\)
0.0965279 + 0.995330i \(0.469226\pi\)
\(108\) −3.49723 3.84310i −0.336521 0.369802i
\(109\) −0.251389 0.938198i −0.0240787 0.0898631i 0.952841 0.303470i \(-0.0981454\pi\)
−0.976920 + 0.213607i \(0.931479\pi\)
\(110\) 0.256961 0.958993i 0.0245003 0.0914364i
\(111\) −1.78766 + 4.68160i −0.169677 + 0.444357i
\(112\) −1.67805 + 2.04552i −0.158561 + 0.193284i
\(113\) 8.13853i 0.765608i −0.923829 0.382804i \(-0.874958\pi\)
0.923829 0.382804i \(-0.125042\pi\)
\(114\) 2.80908 3.88070i 0.263095 0.363461i
\(115\) −0.596274 + 0.159771i −0.0556029 + 0.0148987i
\(116\) 1.74135 3.01611i 0.161680 0.280039i
\(117\) 1.70050 + 10.6821i 0.157211 + 0.987565i
\(118\) 5.80359 0.534264
\(119\) 10.7441 + 1.77171i 0.984913 + 0.162412i
\(120\) −0.685209 1.53175i −0.0625508 0.139829i
\(121\) 8.61679 4.97491i 0.783345 0.452264i
\(122\) −1.14755 + 0.307485i −0.103894 + 0.0278384i
\(123\) −0.0747991 0.0920378i −0.00674440 0.00829877i
\(124\) 0.646325 2.41212i 0.0580417 0.216614i
\(125\) 6.20753 6.20753i 0.555218 0.555218i
\(126\) −7.89139 0.852027i −0.703021 0.0759046i
\(127\) 20.2101i 1.79335i −0.442687 0.896676i \(-0.645975\pi\)
0.442687 0.896676i \(-0.354025\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) 1.54497 14.9523i 0.136027 1.31647i
\(130\) −0.555858 + 3.44858i −0.0487520 + 0.302460i
\(131\) −3.53443 + 2.04060i −0.308805 + 0.178288i −0.646391 0.763006i \(-0.723723\pi\)
0.337587 + 0.941294i \(0.390389\pi\)
\(132\) −0.633182 + 1.65820i −0.0551114 + 0.144328i
\(133\) −0.718703 7.28254i −0.0623194 0.631476i
\(134\) 1.68549 0.145604
\(135\) 2.71945 4.23634i 0.234053 0.364606i
\(136\) −1.06523 3.97550i −0.0913429 0.340897i
\(137\) −4.66924 17.4258i −0.398920 1.48879i −0.814999 0.579462i \(-0.803263\pi\)
0.416079 0.909328i \(-0.363404\pi\)
\(138\) 1.08974 0.174563i 0.0927649 0.0148598i
\(139\) −19.1544 −1.62465 −0.812326 0.583204i \(-0.801799\pi\)
−0.812326 + 0.583204i \(0.801799\pi\)
\(140\) −2.33496 1.05741i −0.197340 0.0893671i
\(141\) 5.42600 + 2.07190i 0.456951 + 0.174486i
\(142\) 10.4790 6.05008i 0.879381 0.507711i
\(143\) 2.99517 2.16365i 0.250469 0.180933i
\(144\) 0.937080 + 2.84989i 0.0780900 + 0.237491i
\(145\) 3.25910 + 0.873274i 0.270654 + 0.0725215i
\(146\) 13.2226i 1.09431i
\(147\) −9.88619 + 7.01877i −0.815399 + 0.578899i
\(148\) 2.04585 2.04585i 0.168168 0.168168i
\(149\) −5.29060 + 19.7448i −0.433423 + 1.61756i 0.311389 + 0.950282i \(0.399206\pi\)
−0.744812 + 0.667274i \(0.767461\pi\)
\(150\) −5.45909 + 4.43660i −0.445733 + 0.362247i
\(151\) −0.159445 + 0.0427232i −0.0129755 + 0.00347676i −0.265301 0.964166i \(-0.585471\pi\)
0.252325 + 0.967642i \(0.418805\pi\)
\(152\) −2.39535 + 1.38296i −0.194289 + 0.112173i
\(153\) 8.22959 9.20478i 0.665323 0.744162i
\(154\) 0.955562 + 2.53736i 0.0770014 + 0.204467i
\(155\) 2.41932 0.194324
\(156\) 1.62219 6.03063i 0.129879 0.482837i
\(157\) 2.07855 3.60015i 0.165886 0.287323i −0.771083 0.636734i \(-0.780285\pi\)
0.936970 + 0.349411i \(0.113618\pi\)
\(158\) 0.0303989 0.00814535i 0.00241840 0.000648009i
\(159\) −11.1343 8.05965i −0.883005 0.639172i
\(160\) 0.968809i 0.0765911i
\(161\) 1.06922 1.30337i 0.0842666 0.102720i
\(162\) −5.61455 + 7.03398i −0.441120 + 0.552642i
\(163\) 2.64096 9.85619i 0.206856 0.771997i −0.782020 0.623253i \(-0.785811\pi\)
0.988876 0.148743i \(-0.0475228\pi\)
\(164\) 0.0177222 + 0.0661403i 0.00138387 + 0.00516469i
\(165\) −1.71051 0.176742i −0.133163 0.0137593i
\(166\) 7.42583 4.28730i 0.576356 0.332759i
\(167\) −18.0695 + 18.0695i −1.39826 + 1.39826i −0.593220 + 0.805040i \(0.702144\pi\)
−0.805040 + 0.593220i \(0.797856\pi\)
\(168\) 3.95807 + 2.30948i 0.305371 + 0.178181i
\(169\) −9.70824 + 8.64581i −0.746788 + 0.665062i
\(170\) 3.45316 1.99368i 0.264845 0.152909i
\(171\) −7.40654 3.74107i −0.566392 0.286087i
\(172\) −4.33933 + 7.51593i −0.330870 + 0.573084i
\(173\) 2.51736 + 4.36020i 0.191392 + 0.331500i 0.945712 0.325007i \(-0.105367\pi\)
−0.754320 + 0.656507i \(0.772033\pi\)
\(174\) −5.63535 2.15185i −0.427215 0.163131i
\(175\) −1.74832 + 10.6023i −0.132161 + 0.801458i
\(176\) 0.724634 0.724634i 0.0546213 0.0546213i
\(177\) −1.58995 9.92558i −0.119508 0.746052i
\(178\) −3.22733 + 5.58990i −0.241898 + 0.418980i
\(179\) −1.24867 + 2.16277i −0.0933302 + 0.161653i −0.908910 0.416991i \(-0.863085\pi\)
0.815580 + 0.578644i \(0.196418\pi\)
\(180\) −2.43195 + 1.59152i −0.181267 + 0.118625i
\(181\) 0.778086i 0.0578347i −0.999582 0.0289173i \(-0.990794\pi\)
0.999582 0.0289173i \(-0.00920596\pi\)
\(182\) −4.25344 8.53863i −0.315286 0.632926i
\(183\) 0.840259 + 1.87836i 0.0621138 + 0.138852i
\(184\) −0.615472 0.164915i −0.0453732 0.0121577i
\(185\) 2.42749 + 1.40151i 0.178473 + 0.103041i
\(186\) −4.30238 0.444551i −0.315466 0.0325961i
\(187\) −4.07404 1.09164i −0.297923 0.0798283i
\(188\) −2.37115 2.37115i −0.172934 0.172934i
\(189\) 0.704750 + 13.7297i 0.0512630 + 0.998685i
\(190\) −1.89479 1.89479i −0.137463 0.137463i
\(191\) 18.0065 10.3961i 1.30291 0.752234i 0.322006 0.946738i \(-0.395643\pi\)
0.980902 + 0.194503i \(0.0623095\pi\)
\(192\) 0.178019 1.72288i 0.0128474 0.124338i
\(193\) 20.4978 5.49236i 1.47546 0.395349i 0.570662 0.821185i \(-0.306687\pi\)
0.904800 + 0.425837i \(0.140020\pi\)
\(194\) −6.11090 10.5844i −0.438737 0.759915i
\(195\) 6.05021 + 0.00588104i 0.433264 + 0.000421150i
\(196\) 6.86496 1.36831i 0.490355 0.0977366i
\(197\) 2.00709 + 2.00709i 0.142999 + 0.142999i 0.774982 0.631983i \(-0.217759\pi\)
−0.631983 + 0.774982i \(0.717759\pi\)
\(198\) 3.00941 + 0.628615i 0.213869 + 0.0446738i
\(199\) −11.4097 6.58738i −0.808811 0.466967i 0.0377317 0.999288i \(-0.487987\pi\)
−0.846543 + 0.532321i \(0.821320\pi\)
\(200\) 3.92302 1.05117i 0.277399 0.0743289i
\(201\) −0.461757 2.88260i −0.0325698 0.203323i
\(202\) 8.03505 + 8.03505i 0.565344 + 0.565344i
\(203\) −8.62314 + 3.24744i −0.605226 + 0.227926i
\(204\) −6.50726 + 2.91094i −0.455599 + 0.203807i
\(205\) −0.0574501 + 0.0331689i −0.00401249 + 0.00231661i
\(206\) 3.76535 + 14.0525i 0.262344 + 0.979082i
\(207\) −0.597091 1.81590i −0.0415007 0.126214i
\(208\) −2.27669 + 2.79583i −0.157860 + 0.193856i
\(209\) 2.83447i 0.196064i
\(210\) −1.16874 + 4.28304i −0.0806508 + 0.295558i
\(211\) 14.0500 0.967244 0.483622 0.875277i \(-0.339321\pi\)
0.483622 + 0.875277i \(0.339321\pi\)
\(212\) 3.96789 + 6.87259i 0.272516 + 0.472011i
\(213\) −13.2180 16.2643i −0.905680 1.11441i
\(214\) −2.21713 8.27445i −0.151560 0.565629i
\(215\) −8.12146 2.17614i −0.553879 0.148411i
\(216\) 4.61730 2.38340i 0.314167 0.162169i
\(217\) −5.36972 + 3.84947i −0.364520 + 0.261319i
\(218\) 0.971294 0.0657843
\(219\) −22.6139 + 3.62247i −1.52811 + 0.244784i
\(220\) 0.859810 + 0.496411i 0.0579683 + 0.0334680i
\(221\) 14.6504 + 2.36142i 0.985495 + 0.158847i
\(222\) −4.05939 2.93843i −0.272449 0.197215i
\(223\) 3.20158 3.20158i 0.214394 0.214394i −0.591737 0.806131i \(-0.701558\pi\)
0.806131 + 0.591737i \(0.201558\pi\)
\(224\) −1.54151 2.15029i −0.102997 0.143672i
\(225\) 9.08326 + 8.12094i 0.605551 + 0.541396i
\(226\) 7.86122 + 2.10641i 0.522920 + 0.140116i
\(227\) −21.4347 + 5.74340i −1.42267 + 0.381203i −0.886430 0.462863i \(-0.846822\pi\)
−0.536239 + 0.844066i \(0.680155\pi\)
\(228\) 3.02143 + 3.71777i 0.200099 + 0.246215i
\(229\) −0.0552409 + 0.206162i −0.00365042 + 0.0136236i −0.967727 0.252001i \(-0.918911\pi\)
0.964077 + 0.265624i \(0.0855781\pi\)
\(230\) 0.617309i 0.0407041i
\(231\) 4.07773 2.32938i 0.268295 0.153262i
\(232\) 2.46264 + 2.46264i 0.161680 + 0.161680i
\(233\) 2.96602 + 5.13730i 0.194310 + 0.336556i 0.946674 0.322192i \(-0.104420\pi\)
−0.752364 + 0.658748i \(0.771086\pi\)
\(234\) −10.7583 1.12219i −0.703291 0.0733597i
\(235\) 1.62436 2.81348i 0.105962 0.183531i
\(236\) −1.50208 + 5.60584i −0.0977771 + 0.364909i
\(237\) −0.0222586 0.0497581i −0.00144585 0.00323213i
\(238\) −4.49213 + 9.91948i −0.291181 + 0.642985i
\(239\) 16.2577 + 16.2577i 1.05162 + 1.05162i 0.998593 + 0.0530291i \(0.0168876\pi\)
0.0530291 + 0.998593i \(0.483112\pi\)
\(240\) 1.65690 0.265415i 0.106953 0.0171325i
\(241\) 3.82763 1.02561i 0.246559 0.0660653i −0.133423 0.991059i \(-0.542597\pi\)
0.379982 + 0.924994i \(0.375930\pi\)
\(242\) 2.57520 + 9.61078i 0.165540 + 0.617804i
\(243\) 13.5680 + 7.67523i 0.870388 + 0.492366i
\(244\) 1.18803i 0.0760560i
\(245\) 3.00183 + 6.08112i 0.191780 + 0.388508i
\(246\) 0.108261 0.0484292i 0.00690247 0.00308773i
\(247\) −1.01534 9.92081i −0.0646045 0.631246i
\(248\) 2.16264 + 1.24860i 0.137328 + 0.0792864i
\(249\) −9.36673 11.5254i −0.593592 0.730395i
\(250\) 4.38939 + 7.60264i 0.277609 + 0.480833i
\(251\) −25.5203 −1.61082 −0.805412 0.592715i \(-0.798056\pi\)
−0.805412 + 0.592715i \(0.798056\pi\)
\(252\) 2.86544 7.40198i 0.180506 0.466281i
\(253\) −0.461724 + 0.461724i −0.0290284 + 0.0290284i
\(254\) 19.5214 + 5.23075i 1.22488 + 0.328206i
\(255\) −4.35572 5.35957i −0.272766 0.335629i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 5.41632 + 9.38134i 0.337861 + 0.585192i 0.984030 0.178002i \(-0.0569634\pi\)
−0.646169 + 0.763194i \(0.723630\pi\)
\(258\) 14.0429 + 5.36225i 0.874273 + 0.333839i
\(259\) −7.61787 + 0.751796i −0.473351 + 0.0467143i
\(260\) −3.18721 1.42948i −0.197662 0.0886523i
\(261\) −2.13633 + 10.2274i −0.132235 + 0.633058i
\(262\) −1.05629 3.94215i −0.0652581 0.243547i
\(263\) 1.97029 + 1.13755i 0.121493 + 0.0701440i 0.559515 0.828820i \(-0.310987\pi\)
−0.438022 + 0.898964i \(0.644321\pi\)
\(264\) −1.43782 1.04078i −0.0884919 0.0640557i
\(265\) −5.43642 + 5.43642i −0.333957 + 0.333957i
\(266\) 7.22040 + 1.19065i 0.442711 + 0.0730032i
\(267\) 10.4443 + 3.98812i 0.639179 + 0.244069i
\(268\) −0.436237 + 1.62806i −0.0266474 + 0.0994494i
\(269\) 14.0370 + 8.10427i 0.855852 + 0.494126i 0.862621 0.505851i \(-0.168821\pi\)
−0.00676921 + 0.999977i \(0.502155\pi\)
\(270\) 3.38815 + 3.72323i 0.206196 + 0.226588i
\(271\) −8.39621 + 31.3351i −0.510033 + 1.90347i −0.0900530 + 0.995937i \(0.528704\pi\)
−0.419980 + 0.907533i \(0.637963\pi\)
\(272\) 4.11574 0.249554
\(273\) −13.4379 + 9.61367i −0.813299 + 0.581846i
\(274\) 18.0406 1.08987
\(275\) 1.07723 4.02026i 0.0649591 0.242431i
\(276\) −0.113431 + 1.09779i −0.00682774 + 0.0660791i
\(277\) 24.4046 + 14.0900i 1.46633 + 0.846585i 0.999291 0.0376525i \(-0.0119880\pi\)
0.467037 + 0.884238i \(0.345321\pi\)
\(278\) 4.95751 18.5017i 0.297332 1.10966i
\(279\) 0.418390 + 7.47993i 0.0250484 + 0.447812i
\(280\) 1.62571 1.98172i 0.0971546 0.118430i
\(281\) 13.0253 13.0253i 0.777021 0.777021i −0.202302 0.979323i \(-0.564842\pi\)
0.979323 + 0.202302i \(0.0648422\pi\)
\(282\) −3.40566 + 4.70486i −0.202804 + 0.280170i
\(283\) −17.8732 10.3191i −1.06245 0.613408i −0.136344 0.990662i \(-0.543535\pi\)
−0.926110 + 0.377254i \(0.876868\pi\)
\(284\) 3.13175 + 11.6878i 0.185835 + 0.693546i
\(285\) −2.72146 + 3.75966i −0.161206 + 0.222703i
\(286\) 1.31472 + 3.45311i 0.0777409 + 0.204187i
\(287\) 0.0747354 0.165030i 0.00441149 0.00974142i
\(288\) −2.99532 + 0.167543i −0.176501 + 0.00987258i
\(289\) 0.0303301 + 0.0525333i 0.00178413 + 0.00309020i
\(290\) −1.68704 + 2.92203i −0.0990662 + 0.171588i
\(291\) −16.4278 + 13.3509i −0.963014 + 0.782641i
\(292\) 12.7721 + 3.42226i 0.747428 + 0.200273i
\(293\) −21.8967 + 21.8967i −1.27922 + 1.27922i −0.338117 + 0.941104i \(0.609790\pi\)
−0.941104 + 0.338117i \(0.890210\pi\)
\(294\) −4.22088 11.3659i −0.246167 0.662874i
\(295\) −5.62257 −0.327359
\(296\) 1.44664 + 2.50565i 0.0840840 + 0.145638i
\(297\) 0.250630 5.31905i 0.0145430 0.308642i
\(298\) −17.7027 10.2207i −1.02549 0.592067i
\(299\) 1.45067 1.78146i 0.0838943 0.103024i
\(300\) −2.87251 6.42136i −0.165845 0.370737i
\(301\) 21.4883 8.09240i 1.23856 0.466438i
\(302\) 0.165070i 0.00949869i
\(303\) 11.5406 15.9432i 0.662992 0.915913i
\(304\) −0.715871 2.67167i −0.0410580 0.153231i
\(305\) 1.11176 0.297895i 0.0636591 0.0170574i
\(306\) 6.76116 + 10.3315i 0.386510 + 0.590615i
\(307\) 11.4023 + 11.4023i 0.650764 + 0.650764i 0.953177 0.302413i \(-0.0977921\pi\)
−0.302413 + 0.953177i \(0.597792\pi\)
\(308\) −2.69822 + 0.266284i −0.153746 + 0.0151729i
\(309\) 23.0016 10.2895i 1.30852 0.585349i
\(310\) −0.626165 + 2.33688i −0.0355638 + 0.132726i
\(311\) −8.76323 + 15.1784i −0.496917 + 0.860686i −0.999994 0.00355622i \(-0.998868\pi\)
0.503077 + 0.864242i \(0.332201\pi\)
\(312\) 5.40529 + 3.12775i 0.306014 + 0.177074i
\(313\) 2.56506 + 4.44282i 0.144986 + 0.251123i 0.929368 0.369155i \(-0.120353\pi\)
−0.784382 + 0.620278i \(0.787020\pi\)
\(314\) 2.93951 + 2.93951i 0.165886 + 0.165886i
\(315\) 7.64525 + 0.825452i 0.430761 + 0.0465089i
\(316\) 0.0314712i 0.00177039i
\(317\) −6.96668 + 26.0000i −0.391288 + 1.46031i 0.436724 + 0.899596i \(0.356139\pi\)
−0.828012 + 0.560711i \(0.810528\pi\)
\(318\) 10.6668 8.66889i 0.598163 0.486127i
\(319\) 3.44741 0.923732i 0.193018 0.0517191i
\(320\) −0.935798 0.250746i −0.0523127 0.0140171i
\(321\) −13.5439 + 6.05871i −0.755949 + 0.338164i
\(322\) 0.982225 + 1.37013i 0.0547372 + 0.0763542i
\(323\) −8.04955 + 8.04955i −0.447889 + 0.447889i
\(324\) −5.34115 7.24376i −0.296731 0.402431i
\(325\) −2.33025 + 14.4570i −0.129259 + 0.801931i
\(326\) 8.83682 + 5.10194i 0.489426 + 0.282570i
\(327\) −0.266096 1.66115i −0.0147151 0.0918620i
\(328\) −0.0684735 −0.00378082
\(329\) 0.871336 + 8.82915i 0.0480383 + 0.486767i
\(330\) 0.613432 1.60648i 0.0337683 0.0884340i
\(331\) −5.21409 1.39711i −0.286592 0.0767922i 0.112659 0.993634i \(-0.464063\pi\)
−0.399251 + 0.916841i \(0.630730\pi\)
\(332\) 2.21927 + 8.28243i 0.121798 + 0.454557i
\(333\) −3.91333 + 7.74758i −0.214449 + 0.424565i
\(334\) −12.7771 22.1305i −0.699130 1.21093i
\(335\) −1.63292 −0.0892158
\(336\) −3.25521 + 3.22546i −0.177586 + 0.175963i
\(337\) 24.6635i 1.34350i 0.740776 + 0.671752i \(0.234458\pi\)
−0.740776 + 0.671752i \(0.765542\pi\)
\(338\) −5.83853 11.6151i −0.317574 0.631780i
\(339\) 1.44881 14.0217i 0.0786888 0.761554i
\(340\) 1.03201 + 3.85150i 0.0559684 + 0.208877i
\(341\) 2.21625 1.27955i 0.120017 0.0692916i
\(342\) 5.53055 6.18591i 0.299058 0.334496i
\(343\) −16.3385 8.72082i −0.882197 0.470880i
\(344\) −6.13673 6.13673i −0.330870 0.330870i
\(345\) −1.05575 + 0.169118i −0.0568397 + 0.00910501i
\(346\) −4.86317 + 1.30308i −0.261446 + 0.0700542i
\(347\) −22.4958 12.9880i −1.20764 0.697230i −0.245395 0.969423i \(-0.578918\pi\)
−0.962243 + 0.272193i \(0.912251\pi\)
\(348\) 3.53706 4.88639i 0.189606 0.261938i
\(349\) 20.0901 + 20.0901i 1.07540 + 1.07540i 0.996916 + 0.0784823i \(0.0250074\pi\)
0.0784823 + 0.996916i \(0.474993\pi\)
\(350\) −9.78853 4.43282i −0.523219 0.236944i
\(351\) 1.02812 + 18.7068i 0.0548772 + 0.998493i
\(352\) 0.512393 + 0.887491i 0.0273107 + 0.0473034i
\(353\) −12.7338 + 3.41201i −0.677752 + 0.181603i −0.581244 0.813729i \(-0.697434\pi\)
−0.0965075 + 0.995332i \(0.530767\pi\)
\(354\) 9.99889 + 1.03315i 0.531435 + 0.0549114i
\(355\) −10.1522 + 5.86137i −0.538822 + 0.311089i
\(356\) −4.56413 4.56413i −0.241898 0.241898i
\(357\) 18.1954 + 4.96510i 0.963005 + 0.262781i
\(358\) −1.76589 1.76589i −0.0933302 0.0933302i
\(359\) −8.86671 2.37583i −0.467967 0.125391i 0.0171272 0.999853i \(-0.494548\pi\)
−0.485094 + 0.874462i \(0.661215\pi\)
\(360\) −0.907851 2.76100i −0.0478480 0.145518i
\(361\) −9.82916 5.67487i −0.517324 0.298677i
\(362\) 0.751574 + 0.201384i 0.0395018 + 0.0105845i
\(363\) 15.7313 7.03720i 0.825680 0.369357i
\(364\) 9.34856 1.89854i 0.489998 0.0995107i
\(365\) 12.8102i 0.670515i
\(366\) −2.03183 + 0.325474i −0.106205 + 0.0170128i
\(367\) −7.46508 + 12.9299i −0.389674 + 0.674935i −0.992406 0.123009i \(-0.960746\pi\)
0.602732 + 0.797944i \(0.294079\pi\)
\(368\) 0.318592 0.551817i 0.0166077 0.0287654i
\(369\) −0.112485 0.171886i −0.00585574 0.00894800i
\(370\) −1.98204 + 1.98204i −0.103041 + 0.103041i
\(371\) 3.41613 20.7163i 0.177356 1.07554i
\(372\) 1.54294 4.04072i 0.0799978 0.209502i
\(373\) −10.8093 18.7223i −0.559686 0.969404i −0.997522 0.0703493i \(-0.977589\pi\)
0.437837 0.899054i \(-0.355745\pi\)
\(374\) 2.10888 3.65269i 0.109048 0.188876i
\(375\) 11.7999 9.58976i 0.609343 0.495213i
\(376\) 2.90406 1.67666i 0.149765 0.0864671i
\(377\) −11.7353 + 4.46802i −0.604397 + 0.230115i
\(378\) −13.4442 2.87276i −0.691496 0.147759i
\(379\) 14.4640 14.4640i 0.742967 0.742967i −0.230181 0.973148i \(-0.573932\pi\)
0.973148 + 0.230181i \(0.0739318\pi\)
\(380\) 2.32064 1.33982i 0.119046 0.0687313i
\(381\) 3.59778 34.8195i 0.184320 1.78386i
\(382\) 5.38141 + 20.0837i 0.275337 + 1.02757i
\(383\) 7.44941 27.8016i 0.380647 1.42059i −0.464268 0.885695i \(-0.653683\pi\)
0.844915 0.534900i \(-0.179651\pi\)
\(384\) 1.61810 + 0.617867i 0.0825732 + 0.0315304i
\(385\) −0.925757 2.45822i −0.0471809 0.125283i
\(386\) 21.2209i 1.08011i
\(387\) 5.32358 25.4859i 0.270613 1.29552i
\(388\) 11.8054 3.16324i 0.599326 0.160589i
\(389\) 2.90415 5.03013i 0.147246 0.255038i −0.782963 0.622069i \(-0.786292\pi\)
0.930209 + 0.367031i \(0.119626\pi\)
\(390\) −1.57159 + 5.84253i −0.0795805 + 0.295848i
\(391\) −2.62248 −0.132625
\(392\) −0.455095 + 6.98519i −0.0229858 + 0.352805i
\(393\) −6.45266 + 2.88652i −0.325494 + 0.145605i
\(394\) −2.45817 + 1.41923i −0.123841 + 0.0714997i
\(395\) −0.0294507 + 0.00789129i −0.00148183 + 0.000397054i
\(396\) −1.38609 + 2.74417i −0.0696535 + 0.137900i
\(397\) 5.51587 20.5855i 0.276834 1.03316i −0.677769 0.735275i \(-0.737053\pi\)
0.954603 0.297882i \(-0.0962803\pi\)
\(398\) 9.31597 9.31597i 0.466967 0.466967i
\(399\) 0.0581946 12.6749i 0.00291337 0.634537i
\(400\) 4.06141i 0.203070i
\(401\) −5.68116 1.52226i −0.283703 0.0760181i 0.114161 0.993462i \(-0.463582\pi\)
−0.397865 + 0.917444i \(0.630249\pi\)
\(402\) 2.90389 + 0.300049i 0.144833 + 0.0149651i
\(403\) −7.29866 + 5.27240i −0.363572 + 0.262637i
\(404\) −9.84089 + 5.68164i −0.489602 + 0.282672i
\(405\) 5.43942 6.81458i 0.270287 0.338619i
\(406\) −0.904955 9.16981i −0.0449122 0.455090i
\(407\) 2.96499 0.146969
\(408\) −1.12755 7.03894i −0.0558220 0.348479i
\(409\) −0.0937626 0.349927i −0.00463626 0.0173028i 0.963569 0.267460i \(-0.0861843\pi\)
−0.968205 + 0.250157i \(0.919518\pi\)
\(410\) −0.0171695 0.0640773i −0.000847939 0.00316455i
\(411\) −4.94240 30.8538i −0.243790 1.52191i
\(412\) −14.5482 −0.716738
\(413\) 12.4794 8.94630i 0.614071 0.440219i
\(414\) 1.90857 0.106756i 0.0938009 0.00524676i
\(415\) −7.19421 + 4.15358i −0.353150 + 0.203891i
\(416\) −2.11132 2.92273i −0.103516 0.143299i
\(417\) −33.0006 3.40985i −1.61605 0.166981i
\(418\) −2.73789 0.733615i −0.133914 0.0358823i
\(419\) 4.19355i 0.204869i 0.994740 + 0.102434i \(0.0326631\pi\)
−0.994740 + 0.102434i \(0.967337\pi\)
\(420\) −3.83461 2.23745i −0.187110 0.109176i
\(421\) −1.34291 + 1.34291i −0.0654495 + 0.0654495i −0.739074 0.673624i \(-0.764737\pi\)
0.673624 + 0.739074i \(0.264737\pi\)
\(422\) −3.63642 + 13.5713i −0.177018 + 0.660640i
\(423\) 8.97949 + 4.53557i 0.436598 + 0.220527i
\(424\) −7.66538 + 2.05393i −0.372264 + 0.0997477i
\(425\) 14.4762 8.35786i 0.702201 0.405416i
\(426\) 19.1311 8.55807i 0.926907 0.414640i
\(427\) −1.99357 + 2.43015i −0.0964758 + 0.117603i
\(428\) 8.56634 0.414070
\(429\) 5.54549 3.19451i 0.267739 0.154232i
\(430\) 4.20398 7.28150i 0.202734 0.351145i
\(431\) 31.4848 8.43634i 1.51657 0.406364i 0.597960 0.801526i \(-0.295978\pi\)
0.918611 + 0.395162i \(0.129312\pi\)
\(432\) 1.10714 + 5.07683i 0.0532672 + 0.244259i
\(433\) 21.9098i 1.05292i −0.850201 0.526458i \(-0.823520\pi\)
0.850201 0.526458i \(-0.176480\pi\)
\(434\) −2.32852 6.18306i −0.111772 0.296797i
\(435\) 5.45958 + 2.08473i 0.261767 + 0.0999551i
\(436\) −0.251389 + 0.938198i −0.0120394 + 0.0449315i
\(437\) 0.456141 + 1.70234i 0.0218202 + 0.0814340i
\(438\) 2.35388 22.7809i 0.112473 1.08852i
\(439\) 5.86906 3.38851i 0.280115 0.161725i −0.353360 0.935487i \(-0.614961\pi\)
0.633476 + 0.773763i \(0.281628\pi\)
\(440\) −0.702032 + 0.702032i −0.0334680 + 0.0334680i
\(441\) −18.2822 + 10.3326i −0.870580 + 0.492027i
\(442\) −6.07277 + 13.5400i −0.288852 + 0.644034i
\(443\) 30.3397 17.5166i 1.44148 0.832240i 0.443533 0.896258i \(-0.353725\pi\)
0.997949 + 0.0640182i \(0.0203916\pi\)
\(444\) 3.88895 3.16055i 0.184562 0.149993i
\(445\) 3.12666 5.41554i 0.148218 0.256721i
\(446\) 2.26386 + 3.92112i 0.107197 + 0.185671i
\(447\) −12.6300 + 33.0760i −0.597379 + 1.56444i
\(448\) 2.47599 0.932449i 0.116980 0.0440541i
\(449\) −2.14151 + 2.14151i −0.101064 + 0.101064i −0.755831 0.654767i \(-0.772767\pi\)
0.654767 + 0.755831i \(0.272767\pi\)
\(450\) −10.1952 + 6.67190i −0.480604 + 0.314517i
\(451\) −0.0350854 + 0.0607696i −0.00165210 + 0.00286153i
\(452\) −4.06926 + 7.04817i −0.191402 + 0.331518i
\(453\) −0.282310 + 0.0452225i −0.0132641 + 0.00212474i
\(454\) 22.1908i 1.04147i
\(455\) 4.12077 + 8.27231i 0.193185 + 0.387812i
\(456\) −4.37309 + 1.95625i −0.204789 + 0.0916096i
\(457\) 30.6514 + 8.21302i 1.43381 + 0.384189i 0.890363 0.455252i \(-0.150451\pi\)
0.543451 + 0.839441i \(0.317118\pi\)
\(458\) −0.184840 0.106717i −0.00863698 0.00498657i
\(459\) 15.8172 14.3937i 0.738284 0.671840i
\(460\) 0.596274 + 0.159771i 0.0278014 + 0.00744937i
\(461\) −11.2027 11.2027i −0.521764 0.521764i 0.396340 0.918104i \(-0.370280\pi\)
−0.918104 + 0.396340i \(0.870280\pi\)
\(462\) 1.19462 + 4.54168i 0.0555786 + 0.211298i
\(463\) −17.5213 17.5213i −0.814284 0.814284i 0.170989 0.985273i \(-0.445304\pi\)
−0.985273 + 0.170989i \(0.945304\pi\)
\(464\) −3.01611 + 1.74135i −0.140019 + 0.0808402i
\(465\) 4.16819 + 0.430685i 0.193295 + 0.0199725i
\(466\) −5.72991 + 1.53533i −0.265433 + 0.0711226i
\(467\) 17.3288 + 30.0144i 0.801882 + 1.38890i 0.918376 + 0.395708i \(0.129501\pi\)
−0.116495 + 0.993191i \(0.537166\pi\)
\(468\) 3.86840 10.1013i 0.178817 0.466931i
\(469\) 3.62429 2.59820i 0.167354 0.119974i
\(470\) 2.29720 + 2.29720i 0.105962 + 0.105962i
\(471\) 4.22198 5.83260i 0.194539 0.268752i
\(472\) −5.02606 2.90180i −0.231343 0.133566i
\(473\) −8.59072 + 2.30188i −0.395002 + 0.105840i
\(474\) 0.0538236 0.00862186i 0.00247220 0.000396015i
\(475\) −7.94328 7.94328i −0.364463 0.364463i
\(476\) −8.41884 6.90641i −0.385877 0.316555i
\(477\) −17.7482 15.8679i −0.812635 0.726541i
\(478\) −19.9115 + 11.4959i −0.910731 + 0.525811i
\(479\) −1.42097 5.30314i −0.0649259 0.242307i 0.925835 0.377929i \(-0.123363\pi\)
−0.990761 + 0.135622i \(0.956697\pi\)
\(480\) −0.172467 + 1.66914i −0.00787199 + 0.0761855i
\(481\) −10.3776 + 1.06209i −0.473179 + 0.0484272i
\(482\) 3.96265i 0.180494i
\(483\) 2.07417 2.05521i 0.0943779 0.0935152i
\(484\) −9.94981 −0.452264
\(485\) 5.92030 + 10.2543i 0.268827 + 0.465622i
\(486\) −10.9254 + 11.1192i −0.495585 + 0.504377i
\(487\) 6.42991 + 23.9967i 0.291367 + 1.08740i 0.944060 + 0.329774i \(0.106972\pi\)
−0.652693 + 0.757622i \(0.726361\pi\)
\(488\) 1.14755 + 0.307485i 0.0519472 + 0.0139192i
\(489\) 6.30464 16.5109i 0.285106 0.746648i
\(490\) −6.65084 + 1.32563i −0.300454 + 0.0598860i
\(491\) −13.7326 −0.619744 −0.309872 0.950778i \(-0.600286\pi\)
−0.309872 + 0.950778i \(0.600286\pi\)
\(492\) 0.0187590 + 0.117107i 0.000845722 + 0.00527957i
\(493\) 12.4135 + 7.16695i 0.559077 + 0.322783i
\(494\) 9.84556 + 1.58695i 0.442973 + 0.0714004i
\(495\) −2.91554 0.609008i −0.131044 0.0273729i
\(496\) −1.76579 + 1.76579i −0.0792864 + 0.0792864i
\(497\) 13.2067 29.1630i 0.592402 1.30814i
\(498\) 13.5570 6.06456i 0.607504 0.271759i
\(499\) −24.9838 6.69439i −1.11843 0.299682i −0.348181 0.937427i \(-0.613201\pi\)
−0.770247 + 0.637745i \(0.779867\pi\)
\(500\) −8.47965 + 2.27211i −0.379221 + 0.101612i
\(501\) −34.3483 + 27.9148i −1.53457 + 1.24714i
\(502\) 6.60513 24.6507i 0.294801 1.10021i
\(503\) 23.5158i 1.04852i 0.851559 + 0.524260i \(0.175658\pi\)
−0.851559 + 0.524260i \(0.824342\pi\)
\(504\) 6.40813 + 4.68357i 0.285441 + 0.208623i
\(505\) −7.78443 7.78443i −0.346403 0.346403i
\(506\) −0.326488 0.565494i −0.0145142 0.0251393i
\(507\) −18.2652 + 13.1674i −0.811188 + 0.584786i
\(508\) −10.1050 + 17.5024i −0.448338 + 0.776544i
\(509\) 9.72802 36.3055i 0.431187 1.60921i −0.318843 0.947808i \(-0.603294\pi\)
0.750030 0.661404i \(-0.230039\pi\)
\(510\) 6.30429 2.82015i 0.279159 0.124878i
\(511\) −20.3828 28.4324i −0.901681 1.25778i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −12.0946 7.76391i −0.533989 0.342785i
\(514\) −10.4635 + 2.80369i −0.461526 + 0.123666i
\(515\) −3.64790 13.6142i −0.160746 0.599912i
\(516\) −8.81411 + 12.1766i −0.388020 + 0.536043i
\(517\) 3.43644i 0.151134i
\(518\) 1.24547 7.55288i 0.0547228 0.331854i
\(519\) 3.56091 + 7.96024i 0.156307 + 0.349416i
\(520\) 2.20568 2.70863i 0.0967253 0.118781i
\(521\) 35.6395 + 20.5765i 1.56139 + 0.901472i 0.997116 + 0.0758870i \(0.0241788\pi\)
0.564278 + 0.825585i \(0.309155\pi\)
\(522\) −9.32595 4.71057i −0.408186 0.206176i
\(523\) 14.4894 + 25.0964i 0.633578 + 1.09739i 0.986814 + 0.161855i \(0.0517478\pi\)
−0.353236 + 0.935534i \(0.614919\pi\)
\(524\) 4.08121 0.178288
\(525\) −4.89956 + 17.9552i −0.213834 + 0.783630i
\(526\) −1.60873 + 1.60873i −0.0701440 + 0.0701440i
\(527\) 9.92765 + 2.66011i 0.432455 + 0.115876i
\(528\) 1.37745 1.11946i 0.0599460 0.0487181i
\(529\) 11.2970 19.5670i 0.491174 0.850738i
\(530\) −3.84413 6.65823i −0.166978 0.289215i
\(531\) −0.972353 17.3836i −0.0421965 0.754384i
\(532\) −3.01885 + 6.66621i −0.130884 + 0.289017i
\(533\) 0.101032 0.225265i 0.00437620 0.00975732i
\(534\) −6.55540 + 9.05618i −0.283680 + 0.391899i
\(535\) 2.14798 + 8.01636i 0.0928651 + 0.346577i
\(536\) −1.45968 0.842744i −0.0630484 0.0364010i
\(537\) −2.53633 + 3.50389i −0.109451 + 0.151204i
\(538\) −11.4612 + 11.4612i −0.494126 + 0.494126i
\(539\) 5.96611 + 3.98306i 0.256978 + 0.171562i
\(540\) −4.47328 + 2.30905i −0.192499 + 0.0993659i
\(541\) −1.85695 + 6.93022i −0.0798364 + 0.297953i −0.994286 0.106745i \(-0.965957\pi\)
0.914450 + 0.404699i \(0.132624\pi\)
\(542\) −28.0943 16.2202i −1.20675 0.696718i
\(543\) 0.138514 1.34055i 0.00594422 0.0575284i
\(544\) −1.06523 + 3.97550i −0.0456715 + 0.170448i
\(545\) −0.940998 −0.0403079
\(546\) −5.80811 15.4682i −0.248564 0.661979i
\(547\) 3.41524 0.146025 0.0730126 0.997331i \(-0.476739\pi\)
0.0730126 + 0.997331i \(0.476739\pi\)
\(548\) −4.66924 + 17.4258i −0.199460 + 0.744395i
\(549\) 1.11328 + 3.38576i 0.0475137 + 0.144501i
\(550\) 3.60447 + 2.08104i 0.153695 + 0.0887358i
\(551\) 2.49316 9.30461i 0.106212 0.396390i
\(552\) −1.03102 0.393694i −0.0438833 0.0167567i
\(553\) 0.0528102 0.0643750i 0.00224572 0.00273751i
\(554\) −19.9262 + 19.9262i −0.846585 + 0.846585i
\(555\) 3.93278 + 2.84678i 0.166937 + 0.120839i
\(556\) 16.5882 + 9.57718i 0.703495 + 0.406163i
\(557\) −1.14902 4.28820i −0.0486855 0.181697i 0.937301 0.348520i \(-0.113316\pi\)
−0.985987 + 0.166823i \(0.946649\pi\)
\(558\) −7.33334 1.53181i −0.310445 0.0648469i
\(559\) 29.2435 11.1340i 1.23687 0.470918i
\(560\) 1.49343 + 2.08322i 0.0631089 + 0.0880321i
\(561\) −6.82475 2.60601i −0.288141 0.110026i
\(562\) 9.21024 + 15.9526i 0.388511 + 0.672920i
\(563\) −11.0361 + 19.1151i −0.465116 + 0.805605i −0.999207 0.0398220i \(-0.987321\pi\)
0.534090 + 0.845427i \(0.320654\pi\)
\(564\) −3.66310 4.50732i −0.154244 0.189792i
\(565\) −7.61602 2.04071i −0.320408 0.0858531i
\(566\) 14.5934 14.5934i 0.613408 0.613408i
\(567\) −1.22994 + 23.7800i −0.0516528 + 0.998665i
\(568\) −12.1002 −0.507711
\(569\) 21.7766 + 37.7183i 0.912925 + 1.58123i 0.809912 + 0.586552i \(0.199515\pi\)
0.103013 + 0.994680i \(0.467152\pi\)
\(570\) −2.92719 3.60180i −0.122606 0.150863i
\(571\) −29.0000 16.7431i −1.21361 0.700678i −0.250067 0.968229i \(-0.580452\pi\)
−0.963544 + 0.267550i \(0.913786\pi\)
\(572\) −3.67572 + 0.376189i −0.153690 + 0.0157293i
\(573\) 32.8738 14.7057i 1.37332 0.614338i
\(574\) 0.140064 + 0.114902i 0.00584616 + 0.00479591i
\(575\) 2.58786i 0.107921i
\(576\) 0.613411 2.93662i 0.0255588 0.122359i
\(577\) 3.61803 + 13.5027i 0.150621 + 0.562124i 0.999441 + 0.0334420i \(0.0106469\pi\)
−0.848820 + 0.528682i \(0.822686\pi\)
\(578\) −0.0585933 + 0.0157000i −0.00243716 + 0.000653035i
\(579\) 36.2929 5.81367i 1.50828 0.241608i
\(580\) −2.38583 2.38583i −0.0990662 0.0990662i
\(581\) 9.35875 20.6659i 0.388266 0.857367i
\(582\) −8.64412 19.3235i −0.358310 0.800984i
\(583\) −2.10484 + 7.85538i −0.0871736 + 0.325336i
\(584\) −6.61130 + 11.4511i −0.273578 + 0.473850i
\(585\) 10.4227 + 1.08719i 0.430927 + 0.0449496i
\(586\) −15.4833 26.8179i −0.639610 1.10784i
\(587\) 16.7060 + 16.7060i 0.689531 + 0.689531i 0.962128 0.272597i \(-0.0878826\pi\)
−0.272597 + 0.962128i \(0.587883\pi\)
\(588\) 12.0711 1.13534i 0.497803 0.0468206i
\(589\) 6.90705i 0.284600i
\(590\) 1.45523 5.43099i 0.0599108 0.223590i
\(591\) 3.10067 + 3.81527i 0.127545 + 0.156939i
\(592\) −2.79469 + 0.748834i −0.114861 + 0.0307769i
\(593\) −25.6377 6.86959i −1.05281 0.282100i −0.309399 0.950932i \(-0.600128\pi\)
−0.743413 + 0.668832i \(0.766795\pi\)
\(594\) 5.07294 + 1.61876i 0.208145 + 0.0664185i
\(595\) 4.35201 9.61009i 0.178415 0.393975i
\(596\) 14.4542 14.4542i 0.592067 0.592067i
\(597\) −18.4848 13.3804i −0.756533 0.547623i
\(598\) 1.34530 + 1.86231i 0.0550132 + 0.0761556i
\(599\) 32.0100 + 18.4810i 1.30789 + 0.755112i 0.981744 0.190206i \(-0.0609157\pi\)
0.326148 + 0.945319i \(0.394249\pi\)
\(600\) 6.94601 1.11266i 0.283570 0.0454244i
\(601\) 10.4935 0.428041 0.214020 0.976829i \(-0.431344\pi\)
0.214020 + 0.976829i \(0.431344\pi\)
\(602\) 2.25509 + 22.8505i 0.0919105 + 0.931319i
\(603\) −0.282392 5.04857i −0.0114999 0.205594i
\(604\) 0.159445 + 0.0427232i 0.00648773 + 0.00173838i
\(605\) −2.49488 9.31101i −0.101431 0.378546i
\(606\) 12.4130 + 15.2738i 0.504244 + 0.620456i
\(607\) 13.3739 + 23.1642i 0.542829 + 0.940207i 0.998740 + 0.0501821i \(0.0159802\pi\)
−0.455911 + 0.890025i \(0.650686\pi\)
\(608\) 2.76591 0.112173
\(609\) −15.4347 + 4.05986i −0.625447 + 0.164514i
\(610\) 1.15098i 0.0466017i
\(611\) 1.23097 + 12.0277i 0.0497997 + 0.486590i
\(612\) −11.7294 + 3.85678i −0.474134 + 0.155901i
\(613\) −1.55387 5.79912i −0.0627602 0.234224i 0.927420 0.374022i \(-0.122021\pi\)
−0.990180 + 0.139798i \(0.955355\pi\)
\(614\) −13.9649 + 8.06265i −0.563578 + 0.325382i
\(615\) −0.104884 + 0.0469187i −0.00422934 + 0.00189194i
\(616\) 0.441141 2.67520i 0.0177741 0.107787i
\(617\) −18.6670 18.6670i −0.751503 0.751503i 0.223257 0.974760i \(-0.428331\pi\)
−0.974760 + 0.223257i \(0.928331\pi\)
\(618\) 3.98563 + 24.8810i 0.160325 + 1.00086i
\(619\) 22.2321 5.95707i 0.893583 0.239435i 0.217324 0.976099i \(-0.430267\pi\)
0.676258 + 0.736665i \(0.263600\pi\)
\(620\) −2.09519 1.20966i −0.0841448 0.0485810i
\(621\) −0.705450 3.23487i −0.0283087 0.129811i
\(622\) −12.3931 12.3931i −0.496917 0.496917i
\(623\) 1.67720 + 16.9949i 0.0671955 + 0.680885i
\(624\) −4.42017 + 4.41159i −0.176948 + 0.176605i
\(625\) 5.90105 + 10.2209i 0.236042 + 0.408836i
\(626\) −4.95532 + 1.32777i −0.198055 + 0.0530686i
\(627\) −0.504590 + 4.88344i −0.0201514 + 0.195026i
\(628\) −3.60015 + 2.07855i −0.143662 + 0.0829431i
\(629\) 8.42020 + 8.42020i 0.335735 + 0.335735i
\(630\) −2.77606 + 7.17110i −0.110601 + 0.285704i
\(631\) 1.85070 + 1.85070i 0.0736750 + 0.0736750i 0.742984 0.669309i \(-0.233410\pi\)
−0.669309 + 0.742984i \(0.733410\pi\)
\(632\) −0.0303989 0.00814535i −0.00120920 0.000324005i
\(633\) 24.2065 + 2.50118i 0.962122 + 0.0994128i
\(634\) −23.3110 13.4586i −0.925797 0.534509i
\(635\) −18.9125 5.06760i −0.750521 0.201101i
\(636\) 5.61274 + 12.5470i 0.222560 + 0.497521i
\(637\) −22.3085 11.8038i −0.883896 0.467684i
\(638\) 3.56903i 0.141299i
\(639\) −19.8776 30.3744i −0.786345 1.20159i
\(640\) 0.484404 0.839013i 0.0191478 0.0331649i
\(641\) 16.8365 29.1616i 0.665001 1.15181i −0.314285 0.949329i \(-0.601765\pi\)
0.979285 0.202486i \(-0.0649021\pi\)
\(642\) −2.34684 14.6506i −0.0926222 0.578211i
\(643\) −2.15687 + 2.15687i −0.0850587 + 0.0850587i −0.748356 0.663297i \(-0.769157\pi\)
0.663297 + 0.748356i \(0.269157\pi\)
\(644\) −1.57766 + 0.594141i −0.0621685 + 0.0234124i
\(645\) −13.6049 5.19500i −0.535692 0.204553i
\(646\) −5.69189 9.85864i −0.223944 0.387883i
\(647\) −20.9209 + 36.2361i −0.822487 + 1.42459i 0.0813383 + 0.996687i \(0.474081\pi\)
−0.903825 + 0.427902i \(0.859253\pi\)
\(648\) 8.37933 3.28433i 0.329171 0.129021i
\(649\) −5.15064 + 2.97372i −0.202180 + 0.116729i
\(650\) −13.3613 5.99260i −0.524073 0.235049i
\(651\) −9.93665 + 5.67626i −0.389448 + 0.222470i
\(652\) −7.21523 + 7.21523i −0.282570 + 0.282570i
\(653\) −11.1683 + 6.44801i −0.437049 + 0.252330i −0.702345 0.711837i \(-0.747864\pi\)
0.265296 + 0.964167i \(0.414530\pi\)
\(654\) 1.67342 + 0.172909i 0.0654359 + 0.00676128i
\(655\) 1.02335 + 3.81919i 0.0399855 + 0.149228i
\(656\) 0.0177222 0.0661403i 0.000691937 0.00258234i
\(657\) −39.6059 + 2.21536i −1.54517 + 0.0864293i
\(658\) −8.75383 1.44351i −0.341260 0.0562738i
\(659\) 39.5546i 1.54083i −0.637543 0.770415i \(-0.720049\pi\)
0.637543 0.770415i \(-0.279951\pi\)
\(660\) 1.39298 + 1.00832i 0.0542215 + 0.0392488i
\(661\) 41.4429 11.1046i 1.61194 0.431919i 0.663323 0.748333i \(-0.269146\pi\)
0.948621 + 0.316414i \(0.102479\pi\)
\(662\) 2.69901 4.67483i 0.104900 0.181692i
\(663\) 24.8205 + 6.67651i 0.963949 + 0.259294i
\(664\) −8.57460 −0.332759
\(665\) −6.99519 1.15351i −0.271262 0.0447311i
\(666\) −6.47074 5.78521i −0.250736 0.224172i
\(667\) 1.92181 1.10956i 0.0744129 0.0429623i
\(668\) 24.6834 6.61390i 0.955030 0.255899i
\(669\) 6.08588 4.94599i 0.235294 0.191223i
\(670\) 0.422630 1.57728i 0.0163276 0.0609355i
\(671\) 0.860888 0.860888i 0.0332342 0.0332342i
\(672\) −2.27304 3.97911i −0.0876845 0.153497i
\(673\) 17.9661i 0.692541i 0.938135 + 0.346271i \(0.112552\pi\)
−0.938135 + 0.346271i \(0.887448\pi\)
\(674\) −23.8231 6.38338i −0.917631 0.245878i
\(675\) 14.2037 + 15.6084i 0.546700 + 0.600767i
\(676\) 12.7305 2.63337i 0.489634 0.101283i
\(677\) −4.04856 + 2.33744i −0.155599 + 0.0898350i −0.575778 0.817606i \(-0.695301\pi\)
0.420179 + 0.907441i \(0.361967\pi\)
\(678\) 13.1689 + 5.02853i 0.505750 + 0.193119i
\(679\) −29.4562 13.3395i −1.13042 0.511923i
\(680\) −3.98737 −0.152909
\(681\) −37.9518 + 6.07940i −1.45431 + 0.232963i
\(682\) 0.662345 + 2.47190i 0.0253625 + 0.0946541i
\(683\) −13.2214 49.3429i −0.505902 1.88805i −0.457466 0.889227i \(-0.651243\pi\)
−0.0484369 0.998826i \(-0.515424\pi\)
\(684\) 4.54372 + 6.94313i 0.173733 + 0.265477i
\(685\) −17.4779 −0.667795
\(686\) 12.6524 13.5247i 0.483070 0.516375i
\(687\) −0.131874 + 0.345358i −0.00503131 + 0.0131762i
\(688\) 7.51593 4.33933i 0.286542 0.165435i
\(689\) 4.55319 28.2483i 0.173463 1.07617i
\(690\) 0.109893 1.06355i 0.00418355 0.0404886i
\(691\) 12.5372 + 3.35934i 0.476938 + 0.127795i 0.489277 0.872129i \(-0.337261\pi\)
−0.0123385 + 0.999924i \(0.503928\pi\)
\(692\) 5.03473i 0.191392i
\(693\) 7.44011 3.28733i 0.282627 0.124875i
\(694\) 18.3677 18.3677i 0.697230 0.697230i
\(695\) −4.80288 + 17.9246i −0.182184 + 0.679919i
\(696\) 3.80443 + 4.68123i 0.144207 + 0.177442i
\(697\) −0.272216 + 0.0729402i −0.0103109 + 0.00276281i
\(698\) −24.6052 + 14.2058i −0.931322 + 0.537699i
\(699\) 4.19555 + 9.37895i 0.158690 + 0.354744i
\(700\) 6.81524 8.30770i 0.257592 0.314001i
\(701\) −34.1302 −1.28908 −0.644541 0.764570i \(-0.722951\pi\)
−0.644541 + 0.764570i \(0.722951\pi\)
\(702\) −18.3354 3.84857i −0.692027 0.145255i
\(703\) 4.00127 6.93040i 0.150911 0.261385i
\(704\) −0.989868 + 0.265234i −0.0373071 + 0.00999639i
\(705\) 3.29943 4.55811i 0.124264 0.171668i
\(706\) 13.1830i 0.496149i
\(707\) 29.6638 + 4.89156i 1.11562 + 0.183966i
\(708\) −3.58585 + 9.39078i −0.134764 + 0.352927i
\(709\) −6.98166 + 26.0559i −0.262202 + 0.978550i 0.701739 + 0.712434i \(0.252407\pi\)
−0.963941 + 0.266116i \(0.914259\pi\)
\(710\) −3.03407 11.3233i −0.113867 0.424956i
\(711\) −0.0294910 0.0896896i −0.00110600 0.00336362i
\(712\) 5.58990 3.22733i 0.209490 0.120949i
\(713\) 1.12513 1.12513i 0.0421365 0.0421365i
\(714\) −9.50525 + 16.2904i −0.355725 + 0.609652i
\(715\) −1.27371 3.34540i −0.0476341 0.125111i
\(716\) 2.16277 1.24867i 0.0808263 0.0466651i
\(717\) 25.1158 + 30.9042i 0.937968 + 1.15414i
\(718\) 4.58974 7.94967i 0.171288 0.296679i
\(719\) 0.115201 + 0.199534i 0.00429627 + 0.00744135i 0.868166 0.496275i \(-0.165299\pi\)
−0.863869 + 0.503716i \(0.831966\pi\)
\(720\) 2.90189 0.162317i 0.108147 0.00604921i
\(721\) 29.7586 + 24.4126i 1.10827 + 0.909171i
\(722\) 8.02547 8.02547i 0.298677 0.298677i
\(723\) 6.77712 1.08561i 0.252044 0.0403743i
\(724\) −0.389043 + 0.673842i −0.0144587 + 0.0250432i
\(725\) −7.07234 + 12.2496i −0.262660 + 0.454940i
\(726\) 2.72585 + 17.0166i 0.101166 + 0.631547i
\(727\) 19.6490i 0.728740i −0.931254 0.364370i \(-0.881284\pi\)
0.931254 0.364370i \(-0.118716\pi\)
\(728\) −0.585733 + 9.52139i −0.0217087 + 0.352886i
\(729\) 22.0097 + 15.6389i 0.815173 + 0.579217i
\(730\) −12.3737 3.31552i −0.457970 0.122713i
\(731\) −30.9336 17.8595i −1.14412 0.660559i
\(732\) 0.211493 2.04683i 0.00781699 0.0756532i
\(733\) 9.84548 + 2.63809i 0.363651 + 0.0974401i 0.436018 0.899938i \(-0.356388\pi\)
−0.0723665 + 0.997378i \(0.523055\pi\)
\(734\) −10.5572 10.5572i −0.389674 0.389674i
\(735\) 4.08923 + 11.0114i 0.150833 + 0.406162i
\(736\) 0.450556 + 0.450556i 0.0166077 + 0.0166077i
\(737\) −1.49586 + 0.863633i −0.0551006 + 0.0318123i
\(738\) 0.195142 0.0641651i 0.00718328 0.00236195i
\(739\) 26.1139 6.99720i 0.960616 0.257396i 0.255755 0.966742i \(-0.417676\pi\)
0.704861 + 0.709345i \(0.251009\pi\)
\(740\) −1.40151 2.42749i −0.0515207 0.0892364i
\(741\) 0.0167901 17.2731i 0.000616801 0.634543i
\(742\) 19.1263 + 8.66151i 0.702148 + 0.317974i
\(743\) 19.6477 + 19.6477i 0.720804 + 0.720804i 0.968769 0.247965i \(-0.0797618\pi\)
−0.247965 + 0.968769i \(0.579762\pi\)
\(744\) 3.50370 + 2.53618i 0.128452 + 0.0929810i
\(745\) 17.1505 + 9.90187i 0.628347 + 0.362776i
\(746\) 20.8820 5.59532i 0.764545 0.204859i
\(747\) −14.0860 21.5244i −0.515379 0.787537i
\(748\) 2.98241 + 2.98241i 0.109048 + 0.109048i
\(749\) −17.5226 14.3747i −0.640263 0.525241i
\(750\) 6.20896 + 13.8798i 0.226719 + 0.506819i
\(751\) −29.8497 + 17.2337i −1.08923 + 0.628867i −0.933371 0.358912i \(-0.883148\pi\)
−0.155859 + 0.987779i \(0.549815\pi\)
\(752\) 0.867903 + 3.23906i 0.0316492 + 0.118116i
\(753\) −43.9683 4.54310i −1.60229 0.165560i
\(754\) −1.27847 12.4918i −0.0465590 0.454925i
\(755\) 0.159921i 0.00582012i
\(756\) 6.25449 12.2426i 0.227474 0.445259i
\(757\) 17.4476 0.634144 0.317072 0.948401i \(-0.397300\pi\)
0.317072 + 0.948401i \(0.397300\pi\)
\(758\) 10.2276 + 17.7147i 0.371483 + 0.643428i
\(759\) −0.877690 + 0.713299i −0.0318581 + 0.0258911i
\(760\) 0.693542 + 2.58833i 0.0251574 + 0.0938887i
\(761\) −47.8027 12.8087i −1.73284 0.464314i −0.752009 0.659152i \(-0.770915\pi\)
−0.980835 + 0.194838i \(0.937582\pi\)
\(762\) 32.7018 + 12.4871i 1.18466 + 0.452361i
\(763\) 2.08856 1.49726i 0.0756111 0.0542045i
\(764\) −20.7922 −0.752234
\(765\) −6.55027 10.0093i −0.236826 0.361887i
\(766\) 24.9262 + 14.3912i 0.900621 + 0.519974i
\(767\) 16.9623 12.2532i 0.612474 0.442438i
\(768\) −1.01561 + 1.40305i −0.0366476 + 0.0506281i
\(769\) 16.7245 16.7245i 0.603100 0.603100i −0.338034 0.941134i \(-0.609762\pi\)
0.941134 + 0.338034i \(0.109762\pi\)
\(770\) 2.61406 0.257978i 0.0942043 0.00929688i
\(771\) 7.66160 + 17.1271i 0.275926 + 0.616818i
\(772\) −20.4978 5.49236i −0.737731 0.197674i
\(773\) 9.89355 2.65097i 0.355846 0.0953487i −0.0764673 0.997072i \(-0.524364\pi\)
0.432313 + 0.901723i \(0.357697\pi\)