Properties

Label 546.2.bv.a.317.18
Level $546$
Weight $2$
Character 546.317
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

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 317.18
Character \(\chi\) \(=\) 546.317
Dual form 546.2.bv.a.515.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(1.72288 - 0.178019i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.935798 - 0.250746i) q^{5} +(-1.61810 + 0.617867i) q^{6} +(2.47599 + 0.932449i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.93662 - 0.613411i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(1.72288 - 0.178019i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.935798 - 0.250746i) q^{5} +(-1.61810 + 0.617867i) q^{6} +(2.47599 + 0.932449i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.93662 - 0.613411i) q^{9} +(-0.839013 + 0.484404i) q^{10} +(-0.989868 - 0.265234i) q^{11} +(1.40305 - 1.01561i) q^{12} +(1.28292 + 3.36959i) q^{13} +(-2.63296 - 0.259843i) q^{14} +(1.56763 - 0.598595i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-2.05787 - 3.56434i) q^{17} +(-2.67779 + 1.35256i) q^{18} +(0.715871 + 2.67167i) q^{19} +(0.685051 - 0.685051i) q^{20} +(4.43183 + 1.16572i) q^{21} +1.02479 q^{22} +(0.318592 - 0.551817i) q^{23} +(-1.09238 + 1.34414i) q^{24} +(-3.51728 + 2.03070i) q^{25} +(-2.11132 - 2.92273i) q^{26} +(4.95024 - 1.57961i) q^{27} +(2.61050 - 0.430471i) q^{28} -3.48270i q^{29} +(-1.35928 + 0.983930i) q^{30} +(-2.41212 - 0.646325i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-1.75264 - 0.280751i) q^{33} +(2.91027 + 2.91027i) q^{34} +(2.55084 + 0.251738i) q^{35} +(2.23648 - 1.99954i) q^{36} +(2.79469 - 0.748834i) q^{37} +(-1.38296 - 2.39535i) q^{38} +(2.81016 + 5.57700i) q^{39} +(-0.484404 + 0.839013i) q^{40} +(0.0484181 + 0.0484181i) q^{41} +(-4.58253 + 0.0210399i) q^{42} -8.67865i q^{43} +(-0.989868 + 0.265234i) q^{44} +(2.59427 - 1.31037i) q^{45} +(-0.164915 + 0.615472i) q^{46} +(0.867903 + 3.23906i) 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} +(2.79583 + 2.27669i) q^{52} +(-6.87259 + 3.96789i) q^{53} +(-4.37273 + 2.80700i) q^{54} -0.992823 q^{55} +(-2.41013 + 1.09145i) q^{56} +(1.70897 + 4.47551i) q^{57} +(0.901389 + 3.36403i) q^{58} +(-5.60584 - 1.50208i) q^{59} +(1.05831 - 1.30221i) q^{60} +(0.594016 - 1.02887i) q^{61} +2.49721 q^{62} +(7.84302 + 1.21945i) q^{63} -1.00000i q^{64} +(2.04546 + 2.83157i) q^{65} +(1.76558 - 0.182432i) q^{66} +(1.62806 + 0.436237i) q^{67} +(-3.56434 - 2.05787i) q^{68} +(0.450660 - 1.00743i) q^{69} +(-2.52907 + 0.417044i) q^{70} +(8.55610 + 8.55610i) q^{71} +(-1.64276 + 2.51025i) q^{72} +(3.42226 - 12.7721i) 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} +(-4.15784 - 4.65965i) q^{78} +(-0.0157356 + 0.0272549i) q^{79} +(0.250746 - 0.935798i) q^{80} +(8.24745 - 3.60271i) q^{81} +(-0.0592998 - 0.0342367i) q^{82} +(6.06316 + 6.06316i) q^{83} +(4.42094 - 1.20637i) q^{84} +(-2.81950 - 2.81950i) q^{85} +(2.24620 + 8.38293i) q^{86} +(-0.619988 - 6.00027i) q^{87} +(0.887491 - 0.512393i) q^{88} +(1.67059 + 6.23472i) q^{89} +(-2.16672 + 1.93717i) q^{90} +(0.0345255 + 9.53933i) q^{91} -0.637183i q^{92} +(-4.27084 - 0.684135i) q^{93} +(-1.67666 - 2.90406i) q^{94} +(1.33982 + 2.32064i) q^{95} +(-0.273960 + 1.71025i) q^{96} +(-8.64212 + 8.64212i) q^{97} +(-6.27690 - 3.09847i) q^{98} +(-3.06956 - 0.171696i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 16 q^{7} + O(q^{10}) \) \( 144 q - 16 q^{7} + 72 q^{16} + 16 q^{18} + 8 q^{19} + 8 q^{21} + 24 q^{27} - 8 q^{28} - 8 q^{31} + 12 q^{33} - 8 q^{37} + 16 q^{39} - 40 q^{45} + 8 q^{46} + 8 q^{52} - 12 q^{54} - 32 q^{55} + 16 q^{57} + 8 q^{58} - 32 q^{61} - 40 q^{63} - 32 q^{66} - 8 q^{67} + 16 q^{72} + 80 q^{73} - 16 q^{76} + 16 q^{78} - 112 q^{79} - 48 q^{81} + 16 q^{84} - 80 q^{85} + 96 q^{87} - 32 q^{91} + 36 q^{93} - 64 q^{94} - 144 q^{97} - 32 q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) 1.72288 0.178019i 0.994704 0.102779i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 0.935798 0.250746i 0.418501 0.112137i −0.0434222 0.999057i \(-0.513826\pi\)
0.461924 + 0.886920i \(0.347159\pi\)
\(6\) −1.61810 + 0.617867i −0.660586 + 0.252243i
\(7\) 2.47599 + 0.932449i 0.935837 + 0.352433i
\(8\) −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
\(11\) −0.989868 0.265234i −0.298456 0.0799712i 0.106483 0.994314i \(-0.466041\pi\)
−0.404940 + 0.914343i \(0.632708\pi\)
\(12\) 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
\(15\) 1.56763 0.598595i 0.404760 0.154557i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −2.05787 3.56434i −0.499107 0.864479i 0.500892 0.865510i \(-0.333005\pi\)
−0.999999 + 0.00103068i \(0.999672\pi\)
\(18\) −2.67779 + 1.35256i −0.631162 + 0.318802i
\(19\) 0.715871 + 2.67167i 0.164232 + 0.612922i 0.998137 + 0.0610140i \(0.0194334\pi\)
−0.833905 + 0.551908i \(0.813900\pi\)
\(20\) 0.685051 0.685051i 0.153182 0.153182i
\(21\) 4.43183 + 1.16572i 0.967104 + 0.254381i
\(22\) 1.02479 0.218485
\(23\) 0.318592 0.551817i 0.0664309 0.115062i −0.830897 0.556426i \(-0.812172\pi\)
0.897328 + 0.441365i \(0.145505\pi\)
\(24\) −1.09238 + 1.34414i −0.222981 + 0.274371i
\(25\) −3.51728 + 2.03070i −0.703457 + 0.406141i
\(26\) −2.11132 2.92273i −0.414063 0.573194i
\(27\) 4.95024 1.57961i 0.952673 0.303996i
\(28\) 2.61050 0.430471i 0.493338 0.0813514i
\(29\) 3.48270i 0.646721i −0.946276 0.323361i \(-0.895187\pi\)
0.946276 0.323361i \(-0.104813\pi\)
\(30\) −1.35928 + 0.983930i −0.248170 + 0.179640i
\(31\) −2.41212 0.646325i −0.433229 0.116083i 0.0356126 0.999366i \(-0.488662\pi\)
−0.468841 + 0.883282i \(0.655328\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) −1.75264 0.280751i −0.305095 0.0488724i
\(34\) 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
\(37\) 2.79469 0.748834i 0.459443 0.123107i −0.0216713 0.999765i \(-0.506899\pi\)
0.481115 + 0.876658i \(0.340232\pi\)
\(38\) −1.38296 2.39535i −0.224345 0.388577i
\(39\) 2.81016 + 5.57700i 0.449986 + 0.893035i
\(40\) −0.484404 + 0.839013i −0.0765911 + 0.132660i
\(41\) 0.0484181 + 0.0484181i 0.00756163 + 0.00756163i 0.710877 0.703316i \(-0.248298\pi\)
−0.703316 + 0.710877i \(0.748298\pi\)
\(42\) −4.58253 + 0.0210399i −0.707099 + 0.00324653i
\(43\) 8.67865i 1.32348i −0.749733 0.661741i \(-0.769818\pi\)
0.749733 0.661741i \(-0.230182\pi\)
\(44\) −0.989868 + 0.265234i −0.149228 + 0.0399856i
\(45\) 2.59427 1.31037i 0.386731 0.195339i
\(46\) −0.164915 + 0.615472i −0.0243154 + 0.0907463i
\(47\) 0.867903 + 3.23906i 0.126597 + 0.472465i 0.999892 0.0147269i \(-0.00468790\pi\)
−0.873295 + 0.487192i \(0.838021\pi\)
\(48\) 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
\(52\) 2.79583 + 2.27669i 0.387712 + 0.315720i
\(53\) −6.87259 + 3.96789i −0.944023 + 0.545032i −0.891219 0.453573i \(-0.850149\pi\)
−0.0528037 + 0.998605i \(0.516816\pi\)
\(54\) −4.37273 + 2.80700i −0.595053 + 0.381984i
\(55\) −0.992823 −0.133872
\(56\) −2.41013 + 1.09145i −0.322067 + 0.145851i
\(57\) 1.70897 + 4.47551i 0.226358 + 0.592796i
\(58\) 0.901389 + 3.36403i 0.118358 + 0.441719i
\(59\) −5.60584 1.50208i −0.729818 0.195554i −0.125270 0.992123i \(-0.539980\pi\)
−0.604548 + 0.796568i \(0.706646\pi\)
\(60\) 1.05831 1.30221i 0.136627 0.168115i
\(61\) 0.594016 1.02887i 0.0760560 0.131733i −0.825489 0.564418i \(-0.809101\pi\)
0.901545 + 0.432685i \(0.142434\pi\)
\(62\) 2.49721 0.317146
\(63\) 7.84302 + 1.21945i 0.988128 + 0.153636i
\(64\) 1.00000i 0.125000i
\(65\) 2.04546 + 2.83157i 0.253708 + 0.351212i
\(66\) 1.76558 0.182432i 0.217328 0.0224558i
\(67\) 1.62806 + 0.436237i 0.198899 + 0.0532948i 0.356893 0.934145i \(-0.383836\pi\)
−0.157994 + 0.987440i \(0.550503\pi\)
\(68\) −3.56434 2.05787i −0.432239 0.249554i
\(69\) 0.450660 1.00743i 0.0542531 0.121280i
\(70\) −2.52907 + 0.417044i −0.302282 + 0.0498463i
\(71\) 8.55610 + 8.55610i 1.01542 + 1.01542i 0.999879 + 0.0155429i \(0.00494767\pi\)
0.0155429 + 0.999879i \(0.495052\pi\)
\(72\) −1.64276 + 2.51025i −0.193601 + 0.295836i
\(73\) 3.42226 12.7721i 0.400545 1.49486i −0.411581 0.911373i \(-0.635023\pi\)
0.812126 0.583482i \(-0.198310\pi\)
\(74\) −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
\(78\) −4.15784 4.65965i −0.470783 0.527601i
\(79\) −0.0157356 + 0.0272549i −0.00177039 + 0.00306641i −0.866909 0.498466i \(-0.833897\pi\)
0.865139 + 0.501532i \(0.167230\pi\)
\(80\) 0.250746 0.935798i 0.0280343 0.104625i
\(81\) 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 0.956675 0.291157i \(-0.0940402\pi\)
−0.291157 + 0.956675i \(0.594040\pi\)
\(84\) 4.42094 1.20637i 0.482364 0.131626i
\(85\) −2.81950 2.81950i −0.305817 0.305817i
\(86\) 2.24620 + 8.38293i 0.242214 + 0.903955i
\(87\) −0.619988 6.00027i −0.0664697 0.643296i
\(88\) 0.887491 0.512393i 0.0946069 0.0546213i
\(89\) 1.67059 + 6.23472i 0.177082 + 0.660879i 0.996188 + 0.0872363i \(0.0278035\pi\)
−0.819106 + 0.573643i \(0.805530\pi\)
\(90\) −2.16672 + 1.93717i −0.228393 + 0.204196i
\(91\) 0.0345255 + 9.53933i 0.00361926 + 0.999993i
\(92\) 0.637183i 0.0664309i
\(93\) −4.27084 0.684135i −0.442866 0.0709415i
\(94\) −1.67666 2.90406i −0.172934 0.299531i
\(95\) 1.33982 + 2.32064i 0.137463 + 0.238092i
\(96\) −0.273960 + 1.71025i −0.0279610 + 0.174551i
\(97\) −8.64212 + 8.64212i −0.877475 + 0.877475i −0.993273 0.115798i \(-0.963057\pi\)
0.115798 + 0.993273i \(0.463057\pi\)
\(98\) −6.27690 3.09847i −0.634063 0.312993i
\(99\) −3.06956 0.171696i −0.308503 0.0172561i
\(100\) −2.03070 + 3.51728i −0.203070 + 0.351728i
\(101\) −5.68164 9.84089i −0.565344 0.979205i −0.997018 0.0771748i \(-0.975410\pi\)
0.431673 0.902030i \(-0.357923\pi\)
\(102\) 5.53212 + 4.49596i 0.547762 + 0.445166i
\(103\) −12.5991 7.27409i −1.24143 0.716738i −0.272042 0.962285i \(-0.587699\pi\)
−0.969385 + 0.245548i \(0.921032\pi\)
\(104\) −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 0.0965279 0.995330i \(-0.469226\pi\)
−0.813717 + 0.581261i \(0.802560\pi\)
\(108\) 3.49723 3.84310i 0.336521 0.369802i
\(109\) 0.938198 + 0.251389i 0.0898631 + 0.0240787i 0.303470 0.952841i \(-0.401855\pi\)
−0.213607 + 0.976920i \(0.568521\pi\)
\(110\) 0.958993 0.256961i 0.0914364 0.0245003i
\(111\) 4.68160 1.78766i 0.444357 0.169677i
\(112\) 2.04552 1.67805i 0.193284 0.158561i
\(113\) 8.13853i 0.765608i 0.923829 + 0.382804i \(0.125042\pi\)
−0.923829 + 0.382804i \(0.874958\pi\)
\(114\) −2.80908 3.88070i −0.263095 0.363461i
\(115\) 0.159771 0.596274i 0.0148987 0.0556029i
\(116\) −1.74135 3.01611i −0.161680 0.280039i
\(117\) 5.83438 + 9.10824i 0.539389 + 0.842057i
\(118\) 5.80359 0.534264
\(119\) −1.77171 10.7441i −0.162412 0.984913i
\(120\) −0.685209 + 1.53175i −0.0625508 + 0.139829i
\(121\) −8.61679 4.97491i −0.783345 0.452264i
\(122\) −0.307485 + 1.14755i −0.0278384 + 0.103894i
\(123\) 0.0920378 + 0.0747991i 0.00829877 + 0.00674440i
\(124\) −2.41212 + 0.646325i −0.216614 + 0.0580417i
\(125\) −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 \(-0.354025\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) −1.54497 14.9523i −0.136027 1.31647i
\(130\) −2.70863 2.20568i −0.237562 0.193451i
\(131\) −3.53443 2.04060i −0.308805 0.178288i 0.337587 0.941294i \(-0.390389\pi\)
−0.646391 + 0.763006i \(0.723723\pi\)
\(132\) −1.65820 + 0.633182i −0.144328 + 0.0551114i
\(133\) −0.718703 + 7.28254i −0.0623194 + 0.631476i
\(134\) −1.68549 −0.145604
\(135\) 4.23634 2.71945i 0.364606 0.234053i
\(136\) 3.97550 + 1.06523i 0.340897 + 0.0913429i
\(137\) −17.4258 4.66924i −1.48879 0.398920i −0.579462 0.814999i \(-0.696737\pi\)
−0.909328 + 0.416079i \(0.863404\pi\)
\(138\) −0.174563 + 1.08974i −0.0148598 + 0.0927649i
\(139\) −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
\(141\) 2.07190 + 5.42600i 0.174486 + 0.456951i
\(142\) −10.4790 6.05008i −0.879381 0.507711i
\(143\) −0.376189 3.67572i −0.0314585 0.307379i
\(144\) 0.937080 2.84989i 0.0780900 0.237491i
\(145\) −0.873274 3.25910i −0.0725215 0.270654i
\(146\) 13.2226i 1.09431i
\(147\) 9.88619 + 7.01877i 0.815399 + 0.578899i
\(148\) 2.04585 2.04585i 0.168168 0.168168i
\(149\) −19.7448 + 5.29060i −1.61756 + 0.433423i −0.950282 0.311389i \(-0.899206\pi\)
−0.667274 + 0.744812i \(0.732539\pi\)
\(150\) 4.43660 5.45909i 0.362247 0.445733i
\(151\) 0.0427232 0.159445i 0.00347676 0.0129755i −0.964166 0.265301i \(-0.914529\pi\)
0.967642 + 0.252325i \(0.0811954\pi\)
\(152\) −2.39535 1.38296i −0.194289 0.112173i
\(153\) −8.22959 9.20478i −0.665323 0.744162i
\(154\) 2.53736 + 0.955562i 0.204467 + 0.0770014i
\(155\) −2.41932 −0.194324
\(156\) 5.22218 + 3.42475i 0.418109 + 0.274199i
\(157\) 2.07855 + 3.60015i 0.165886 + 0.287323i 0.936970 0.349411i \(-0.113618\pi\)
−0.771083 + 0.636734i \(0.780285\pi\)
\(158\) 0.00814535 0.0303989i 0.000648009 0.00241840i
\(159\) −11.1343 + 8.05965i −0.883005 + 0.639172i
\(160\) 0.968809i 0.0765911i
\(161\) 1.30337 1.06922i 0.102720 0.0842666i
\(162\) −7.03398 + 5.61455i −0.552642 + 0.441120i
\(163\) −9.85619 + 2.64096i −0.771997 + 0.206856i −0.623253 0.782020i \(-0.714189\pi\)
−0.148743 + 0.988876i \(0.547523\pi\)
\(164\) 0.0661403 + 0.0177222i 0.00516469 + 0.00138387i
\(165\) −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 \(-0.297856\pi\)
0.805040 0.593220i \(-0.202144\pi\)
\(168\) −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
\(171\) 3.74107 + 7.40654i 0.286087 + 0.566392i
\(172\) −4.33933 7.51593i −0.330870 0.573084i
\(173\) −2.51736 + 4.36020i −0.191392 + 0.331500i −0.945712 0.325007i \(-0.894633\pi\)
0.754320 + 0.656507i \(0.227967\pi\)
\(174\) 2.15185 + 5.63535i 0.163131 + 0.427215i
\(175\) −10.6023 + 1.74832i −0.801458 + 0.132161i
\(176\) −0.724634 + 0.724634i −0.0546213 + 0.0546213i
\(177\) −9.92558 1.58995i −0.746052 0.119508i
\(178\) −3.22733 5.58990i −0.241898 0.418980i
\(179\) 1.24867 + 2.16277i 0.0933302 + 0.161653i 0.908910 0.416991i \(-0.136915\pi\)
−0.815580 + 0.578644i \(0.803582\pi\)
\(180\) 1.59152 2.43195i 0.118625 0.181267i
\(181\) 0.778086i 0.0578347i −0.999582 0.0289173i \(-0.990794\pi\)
0.999582 0.0289173i \(-0.00920596\pi\)
\(182\) −2.50231 9.20535i −0.185484 0.682346i
\(183\) 0.840259 1.87836i 0.0621138 0.138852i
\(184\) 0.164915 + 0.615472i 0.0121577 + 0.0453732i
\(185\) 2.42749 1.40151i 0.178473 0.103041i
\(186\) 4.30238 0.444551i 0.315466 0.0325961i
\(187\) 1.09164 + 4.07404i 0.0798283 + 0.297923i
\(188\) 2.37115 + 2.37115i 0.172934 + 0.172934i
\(189\) 13.7297 + 0.704750i 0.998685 + 0.0512630i
\(190\) −1.89479 1.89479i −0.137463 0.137463i
\(191\) 18.0065 + 10.3961i 1.30291 + 0.752234i 0.980902 0.194503i \(-0.0623095\pi\)
0.322006 + 0.946738i \(0.395643\pi\)
\(192\) −0.178019 1.72288i −0.0128474 0.124338i
\(193\) −5.49236 + 20.4978i −0.395349 + 1.47546i 0.425837 + 0.904800i \(0.359980\pi\)
−0.821185 + 0.570662i \(0.806687\pi\)
\(194\) 6.11090 10.5844i 0.438737 0.759915i
\(195\) 4.02816 + 4.51431i 0.288462 + 0.323276i
\(196\) 6.86496 + 1.36831i 0.490355 + 0.0977366i
\(197\) −2.00709 2.00709i −0.142999 0.142999i 0.631983 0.774982i \(-0.282241\pi\)
−0.774982 + 0.631983i \(0.782241\pi\)
\(198\) 3.00941 0.628615i 0.213869 0.0446738i
\(199\) 11.4097 6.58738i 0.808811 0.466967i −0.0377317 0.999288i \(-0.512013\pi\)
0.846543 + 0.532321i \(0.178680\pi\)
\(200\) 1.05117 3.92302i 0.0743289 0.277399i
\(201\) 2.88260 + 0.461757i 0.203323 + 0.0325698i
\(202\) 8.03505 + 8.03505i 0.565344 + 0.565344i
\(203\) 3.24744 8.62314i 0.227926 0.605226i
\(204\) −6.50726 2.91094i −0.455599 0.203807i
\(205\) 0.0574501 + 0.0331689i 0.00401249 + 0.00231661i
\(206\) 14.0525 + 3.76535i 0.979082 + 0.262344i
\(207\) 0.597091 1.81590i 0.0415007 0.126214i
\(208\) 3.55961 + 0.573754i 0.246814 + 0.0397827i
\(209\) 2.83447i 0.196064i
\(210\) −4.28304 + 1.16874i −0.295558 + 0.0806508i
\(211\) 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
\(213\) 16.2643 + 13.2180i 1.11441 + 0.905680i
\(214\) 8.27445 + 2.21713i 0.565629 + 0.151560i
\(215\) −2.17614 8.12146i −0.148411 0.553879i
\(216\) −2.38340 + 4.61730i −0.162169 + 0.314167i
\(217\) −5.36972 3.84947i −0.364520 0.261319i
\(218\) −0.971294 −0.0657843
\(219\) 3.62247 22.6139i 0.244784 1.52811i
\(220\) −0.859810 + 0.496411i −0.0579683 + 0.0334680i
\(221\) 9.37027 11.5069i 0.630312 0.774040i
\(222\) −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
\(226\) −2.10641 7.86122i −0.140116 0.522920i
\(227\) −5.74340 + 21.4347i −0.381203 + 1.42267i 0.462863 + 0.886430i \(0.346822\pi\)
−0.844066 + 0.536239i \(0.819845\pi\)
\(228\) 3.71777 + 3.02143i 0.246215 + 0.200099i
\(229\) 0.206162 0.0552409i 0.0136236 0.00365042i −0.252001 0.967727i \(-0.581089\pi\)
0.265624 + 0.964077i \(0.414422\pi\)
\(230\) 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 \(-0.895580\pi\)
0.752364 + 0.658748i \(0.228914\pi\)
\(234\) −7.99297 7.28783i −0.522517 0.476420i
\(235\) 1.62436 + 2.81348i 0.105962 + 0.183531i
\(236\) −5.60584 + 1.50208i −0.364909 + 0.0977771i
\(237\) −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 \(-0.983112\pi\)
−0.0530291 0.998593i \(-0.516888\pi\)
\(240\) 0.265415 1.65690i 0.0171325 0.106953i
\(241\) −1.02561 + 3.82763i −0.0660653 + 0.246559i −0.991059 0.133423i \(-0.957403\pi\)
0.924994 + 0.379982i \(0.124070\pi\)
\(242\) 9.61078 + 2.57520i 0.617804 + 0.165540i
\(243\) 13.5680 7.67523i 0.870388 0.492366i
\(244\) 1.18803i 0.0760560i
\(245\) 6.08112 + 3.00183i 0.388508 + 0.191780i
\(246\) −0.108261 0.0484292i −0.00690247 0.00308773i
\(247\) −8.08401 + 5.83972i −0.514373 + 0.371572i
\(248\) 2.16264 1.24860i 0.137328 0.0792864i
\(249\) 11.5254 + 9.36673i 0.730395 + 0.593592i
\(250\) 4.38939 7.60264i 0.277609 0.480833i
\(251\) 25.5203 1.61082 0.805412 0.592715i \(-0.201944\pi\)
0.805412 + 0.592715i \(0.201944\pi\)
\(252\) 7.40198 2.86544i 0.466281 0.180506i
\(253\) −0.461724 + 0.461724i −0.0290284 + 0.0290284i
\(254\) 5.23075 + 19.5214i 0.328206 + 1.22488i
\(255\) −5.35957 4.35572i −0.335629 0.272766i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −5.41632 + 9.38134i −0.337861 + 0.585192i −0.984030 0.178002i \(-0.943037\pi\)
0.646169 + 0.763194i \(0.276370\pi\)
\(258\) 5.36225 + 14.0429i 0.333839 + 0.874273i
\(259\) 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
\(262\) 3.94215 + 1.05629i 0.243547 + 0.0652581i
\(263\) 1.97029 1.13755i 0.121493 0.0701440i −0.438022 0.898964i \(-0.644321\pi\)
0.559515 + 0.828820i \(0.310987\pi\)
\(264\) 1.43782 1.04078i 0.0884919 0.0640557i
\(265\) −5.43642 + 5.43642i −0.333957 + 0.333957i
\(266\) −1.19065 7.22040i −0.0730032 0.442711i
\(267\) 3.98812 + 10.4443i 0.244069 + 0.639179i
\(268\) 1.62806 0.436237i 0.0994494 0.0266474i
\(269\) 14.0370 8.10427i 0.855852 0.494126i −0.00676921 0.999977i \(-0.502155\pi\)
0.862621 + 0.505851i \(0.168821\pi\)
\(270\) −3.38815 + 3.72323i −0.206196 + 0.226588i
\(271\) 31.3351 8.39621i 1.90347 0.510033i 0.907533 0.419980i \(-0.137963\pi\)
0.995937 0.0900530i \(-0.0287036\pi\)
\(272\) −4.11574 −0.249554
\(273\) 1.75767 + 16.4290i 0.106379 + 0.994326i
\(274\) 18.0406 1.08987
\(275\) 4.02026 1.07723i 0.242431 0.0649591i
\(276\) −0.113431 1.09779i −0.00682774 0.0660791i
\(277\) −24.4046 + 14.0900i −1.46633 + 0.846585i −0.999291 0.0376525i \(-0.988012\pi\)
−0.467037 + 0.884238i \(0.654679\pi\)
\(278\) 18.5017 4.95751i 1.10966 0.297332i
\(279\) −7.47993 0.418390i −0.447812 0.0250484i
\(280\) −1.98172 + 1.62571i −0.118430 + 0.0971546i
\(281\) −13.0253 + 13.0253i −0.777021 + 0.777021i −0.979323 0.202302i \(-0.935158\pi\)
0.202302 + 0.979323i \(0.435158\pi\)
\(282\) −3.40566 4.70486i −0.202804 0.280170i
\(283\) 17.8732 10.3191i 1.06245 0.613408i 0.136344 0.990662i \(-0.456465\pi\)
0.926110 + 0.377254i \(0.123132\pi\)
\(284\) 11.6878 + 3.13175i 0.693546 + 0.185835i
\(285\) 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
\(288\) −0.167543 + 2.99532i −0.00987258 + 0.176501i
\(289\) 0.0303301 0.0525333i 0.00178413 0.00309020i
\(290\) 1.68704 + 2.92203i 0.0990662 + 0.171588i
\(291\) −13.3509 + 16.4278i −0.782641 + 0.963014i
\(292\) −3.42226 12.7721i −0.200273 0.747428i
\(293\) 21.8967 21.8967i 1.27922 1.27922i 0.338117 0.941104i \(-0.390210\pi\)
0.941104 0.338117i \(-0.109790\pi\)
\(294\) −11.3659 4.22088i −0.662874 0.246167i
\(295\) −5.62257 −0.327359
\(296\) −1.44664 + 2.50565i −0.0840840 + 0.145638i
\(297\) −5.31905 + 0.250630i −0.308642 + 0.0145430i
\(298\) 17.7027 10.2207i 1.02549 0.592067i
\(299\) 2.26812 + 0.365586i 0.131169 + 0.0211424i
\(300\) −2.87251 + 6.42136i −0.165845 + 0.370737i
\(301\) 8.09240 21.4883i 0.466438 1.23856i
\(302\) 0.165070i 0.00949869i
\(303\) −11.5406 15.9432i −0.662992 0.915913i
\(304\) 2.67167 + 0.715871i 0.153231 + 0.0410580i
\(305\) 0.297895 1.11176i 0.0170574 0.0636591i
\(306\) 10.3315 + 6.76116i 0.590615 + 0.386510i
\(307\) 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
\(310\) 2.33688 0.626165i 0.132726 0.0355638i
\(311\) 8.76323 + 15.1784i 0.496917 + 0.860686i 0.999994 0.00355622i \(-0.00113198\pi\)
−0.503077 + 0.864242i \(0.667799\pi\)
\(312\) −5.93062 1.95645i −0.335755 0.110762i
\(313\) 2.56506 4.44282i 0.144986 0.251123i −0.784382 0.620278i \(-0.787020\pi\)
0.929368 + 0.369155i \(0.120353\pi\)
\(314\) −2.93951 2.93951i −0.165886 0.165886i
\(315\) 7.64525 0.825452i 0.430761 0.0465089i
\(316\) 0.0314712i 0.00177039i
\(317\) −26.0000 + 6.96668i −1.46031 + 0.391288i −0.899596 0.436724i \(-0.856139\pi\)
−0.560711 + 0.828012i \(0.689472\pi\)
\(318\) 8.66889 10.6668i 0.486127 0.598163i
\(319\) −0.923732 + 3.44741i −0.0517191 + 0.193018i
\(320\) −0.250746 0.935798i −0.0140171 0.0523127i
\(321\) −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
\(325\) −11.3550 9.24657i −0.629863 0.512907i
\(326\) 8.83682 5.10194i 0.489426 0.282570i
\(327\) 1.66115 + 0.266096i 0.0918620 + 0.0147151i
\(328\) −0.0684735 −0.00378082
\(329\) −0.871336 + 8.82915i −0.0480383 + 0.486767i
\(330\) 1.60648 0.613432i 0.0884340 0.0337683i
\(331\) 1.39711 + 5.21409i 0.0767922 + 0.286592i 0.993634 0.112659i \(-0.0359367\pi\)
−0.916841 + 0.399251i \(0.869270\pi\)
\(332\) 8.28243 + 2.21927i 0.454557 + 0.121798i
\(333\) 7.74758 3.91333i 0.424565 0.214449i
\(334\) −12.7771 + 22.1305i −0.699130 + 1.21093i
\(335\) 1.63292 0.0892158
\(336\) 3.22546 3.25521i 0.175963 0.177586i
\(337\) 24.6635i 1.34350i 0.740776 + 0.671752i \(0.234458\pi\)
−0.740776 + 0.671752i \(0.765542\pi\)
\(338\) 7.13974 10.8639i 0.388351 0.590918i
\(339\) 1.44881 + 14.0217i 0.0786888 + 0.761554i
\(340\) −3.85150 1.03201i −0.208877 0.0559684i
\(341\) 2.21625 + 1.27955i 0.120017 + 0.0692916i
\(342\) −5.53055 6.18591i −0.299058 0.334496i
\(343\) 8.72082 + 16.3385i 0.470880 + 0.882197i
\(344\) 6.13673 + 6.13673i 0.330870 + 0.330870i
\(345\) 0.169118 1.05575i 0.00910501 0.0568397i
\(346\) 1.30308 4.86317i 0.0700542 0.261446i
\(347\) −22.4958 + 12.9880i −1.20764 + 0.697230i −0.962243 0.272193i \(-0.912251\pi\)
−0.245395 + 0.969423i \(0.578918\pi\)
\(348\) −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
\(351\) 11.6734 + 14.6537i 0.623079 + 0.782159i
\(352\) 0.512393 0.887491i 0.0273107 0.0473034i
\(353\) −3.41201 + 12.7338i −0.181603 + 0.677752i 0.813729 + 0.581244i \(0.197434\pi\)
−0.995332 + 0.0965075i \(0.969233\pi\)
\(354\) 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
\(357\) −4.96510 18.1954i −0.262781 0.963005i
\(358\) −1.76589 1.76589i −0.0933302 0.0933302i
\(359\) −2.37583 8.86671i −0.125391 0.467967i 0.874462 0.485094i \(-0.161215\pi\)
−0.999853 + 0.0171272i \(0.994548\pi\)
\(360\) −0.907851 + 2.76100i −0.0478480 + 0.145518i
\(361\) 9.82916 5.67487i 0.517324 0.298677i
\(362\) 0.201384 + 0.751574i 0.0105845 + 0.0395018i
\(363\) −15.7313 7.03720i −0.825680 0.369357i
\(364\) 4.79956 + 8.24404i 0.251566 + 0.432105i
\(365\) 12.8102i 0.670515i
\(366\) −0.325474 + 2.03183i −0.0170128 + 0.106205i
\(367\) −7.46508 12.9299i −0.389674 0.674935i 0.602732 0.797944i \(-0.294079\pi\)
−0.992406 + 0.123009i \(0.960746\pi\)
\(368\) −0.318592 0.551817i −0.0166077 0.0287654i
\(369\) 0.171886 + 0.112485i 0.00894800 + 0.00585574i
\(370\) −1.98204 + 1.98204i −0.103041 + 0.103041i
\(371\) −20.7163 + 3.41613i −1.07554 + 0.177356i
\(372\) −4.04072 + 1.54294i −0.209502 + 0.0799978i
\(373\) −10.8093 + 18.7223i −0.559686 + 0.969404i 0.437837 + 0.899054i \(0.355745\pi\)
−0.997522 + 0.0703493i \(0.977589\pi\)
\(374\) −2.10888 3.65269i −0.109048 0.188876i
\(375\) −9.58976 + 11.7999i −0.495213 + 0.609343i
\(376\) −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
\(382\) −20.0837 5.38141i −1.02757 0.275337i
\(383\) 27.8016 7.44941i 1.42059 0.380647i 0.534900 0.844915i \(-0.320349\pi\)
0.885695 + 0.464268i \(0.153683\pi\)
\(384\) 0.617867 + 1.61810i 0.0315304 + 0.0825732i
\(385\) −2.45822 0.925757i −0.125283 0.0471809i
\(386\) 21.2209i 1.08011i
\(387\) −5.32358 25.4859i −0.270613 1.29552i
\(388\) −3.16324 + 11.8054i −0.160589 + 0.599326i
\(389\) −2.90415 5.03013i −0.147246 0.255038i 0.782963 0.622069i \(-0.213708\pi\)
−0.930209 + 0.367031i \(0.880374\pi\)
\(390\) −5.05929 3.31793i −0.256187 0.168010i
\(391\) −2.62248 −0.132625
\(392\) −6.98519 + 0.455095i −0.352805 + 0.0229858i
\(393\) −6.45266 2.88652i −0.325494 0.145605i
\(394\) 2.45817 + 1.41923i 0.123841 + 0.0714997i
\(395\) −0.00789129 + 0.0294507i −0.000397054 + 0.00148183i
\(396\) −2.74417 + 1.38609i −0.137900 + 0.0696535i
\(397\) −20.5855 + 5.51587i −1.03316 + 0.276834i −0.735275 0.677769i \(-0.762947\pi\)
−0.297882 + 0.954603i \(0.596280\pi\)
\(398\) −9.31597 + 9.31597i −0.466967 + 0.466967i
\(399\) 0.0581946 + 12.6749i 0.00291337 + 0.634537i
\(400\) 4.06141i 0.203070i
\(401\) −1.52226 5.68116i −0.0760181 0.283703i 0.917444 0.397865i \(-0.130249\pi\)
−0.993462 + 0.114161i \(0.963582\pi\)
\(402\) −2.90389 + 0.300049i −0.144833 + 0.0149651i
\(403\) −0.916700 8.95702i −0.0456641 0.446181i
\(404\) −9.84089 5.68164i −0.489602 0.282672i
\(405\) 6.81458 5.43942i 0.338619 0.270287i
\(406\) −0.904955 + 9.16981i −0.0449122 + 0.455090i
\(407\) −2.96499 −0.146969
\(408\) 7.03894 + 1.12755i 0.348479 + 0.0558220i
\(409\) 0.349927 + 0.0937626i 0.0173028 + 0.00463626i 0.267460 0.963569i \(-0.413816\pi\)
−0.250157 + 0.968205i \(0.580482\pi\)
\(410\) −0.0640773 0.0171695i −0.00316455 0.000847939i
\(411\) −30.8538 4.94240i −1.52191 0.243790i
\(412\) −14.5482 −0.716738
\(413\) −12.4794 8.94630i −0.614071 0.440219i
\(414\) −0.106756 + 1.90857i −0.00524676 + 0.0938009i
\(415\) 7.19421 + 4.15358i 0.353150 + 0.203891i
\(416\) −3.58682 + 0.367090i −0.175858 + 0.0179981i
\(417\) −33.0006 + 3.40985i −1.61605 + 0.166981i
\(418\) 0.733615 + 2.73789i 0.0358823 + 0.133914i
\(419\) 4.19355i 0.204869i −0.994740 0.102434i \(-0.967337\pi\)
0.994740 0.102434i \(-0.0326631\pi\)
\(420\) 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 \(0.264737\pi\)
\(422\) −13.5713 + 3.63642i −0.660640 + 0.177018i
\(423\) 4.53557 + 8.97949i 0.220527 + 0.436598i
\(424\) 2.05393 7.66538i 0.0997477 0.372264i
\(425\) 14.4762 + 8.35786i 0.702201 + 0.405416i
\(426\) −19.1311 8.55807i −0.926907 0.414640i
\(427\) 2.43015 1.99357i 0.117603 0.0964758i
\(428\) −8.56634 −0.414070
\(429\) −1.30248 6.26585i −0.0628842 0.302518i
\(430\) 4.20398 + 7.28150i 0.202734 + 0.351145i
\(431\) 8.43634 31.4848i 0.406364 1.51657i −0.395162 0.918611i \(-0.629312\pi\)
0.801526 0.597960i \(-0.204022\pi\)
\(432\) 1.10714 5.07683i 0.0532672 0.244259i
\(433\) 21.9098i 1.05292i −0.850201 0.526458i \(-0.823520\pi\)
0.850201 0.526458i \(-0.176480\pi\)
\(434\) 6.18306 + 2.32852i 0.296797 + 0.111772i
\(435\) −2.08473 5.45958i −0.0999551 0.261767i
\(436\) 0.938198 0.251389i 0.0449315 0.0120394i
\(437\) 1.70234 + 0.456141i 0.0814340 + 0.0218202i
\(438\) 2.35388 + 22.7809i 0.112473 + 1.08852i
\(439\) −5.86906 3.38851i −0.280115 0.161725i 0.353360 0.935487i \(-0.385039\pi\)
−0.633476 + 0.773763i \(0.718372\pi\)
\(440\) 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 0.997949 0.0640182i \(-0.0203916\pi\)
0.443533 + 0.896258i \(0.353725\pi\)
\(444\) 3.16055 3.88895i 0.149993 0.184562i
\(445\) 3.12666 + 5.41554i 0.148218 + 0.256721i
\(446\) −2.26386 + 3.92112i −0.107197 + 0.185671i
\(447\) −33.0760 + 12.6300i −1.56444 + 0.597379i
\(448\) 0.932449 2.47599i 0.0440541 0.116980i
\(449\) 2.14151 2.14151i 0.101064 0.101064i −0.654767 0.755831i \(-0.727233\pi\)
0.755831 + 0.654767i \(0.227233\pi\)
\(450\) 6.67190 10.1952i 0.314517 0.480604i
\(451\) −0.0350854 0.0607696i −0.00165210 0.00286153i
\(452\) 4.06926 + 7.04817i 0.191402 + 0.331518i
\(453\) 0.0452225 0.282310i 0.00212474 0.0132641i
\(454\) 22.1908i 1.04147i
\(455\) 2.42426 + 8.91822i 0.113651 + 0.418093i
\(456\) −4.37309 1.95625i −0.204789 0.0916096i
\(457\) −8.21302 30.6514i −0.384189 1.43381i −0.839441 0.543451i \(-0.817118\pi\)
0.455252 0.890363i \(-0.349549\pi\)
\(458\) −0.184840 + 0.106717i −0.00863698 + 0.00498657i
\(459\) −15.8172 14.3937i −0.738284 0.671840i
\(460\) −0.159771 0.596274i −0.00744937 0.0278014i
\(461\) 11.2027 + 11.2027i 0.521764 + 0.521764i 0.918104 0.396340i \(-0.129720\pi\)
−0.396340 + 0.918104i \(0.629720\pi\)
\(462\) 4.54168 + 1.19462i 0.211298 + 0.0555786i
\(463\) −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
\(466\) 1.53533 5.72991i 0.0711226 0.265433i
\(467\) −17.3288 + 30.0144i −0.801882 + 1.38890i 0.116495 + 0.993191i \(0.462834\pi\)
−0.918376 + 0.395708i \(0.870499\pi\)
\(468\) 9.60684 + 4.97077i 0.444076 + 0.229774i
\(469\) 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
\(473\) −2.30188 + 8.59072i −0.105840 + 0.395002i
\(474\) 0.00862186 0.0538236i 0.000396015 0.00247220i
\(475\) −7.94328 7.94328i −0.364463 0.364463i
\(476\) −6.90641 8.41884i −0.316555 0.385877i
\(477\) −17.7482 + 15.8679i −0.812635 + 0.726541i
\(478\) 19.9115 + 11.4959i 0.910731 + 0.525811i
\(479\) −5.30314 1.42097i −0.242307 0.0649259i 0.135622 0.990761i \(-0.456697\pi\)
−0.377929 + 0.925835i \(0.623363\pi\)
\(480\) 0.172467 + 1.66914i 0.00787199 + 0.0761855i
\(481\) 6.10861 + 8.45624i 0.278529 + 0.385572i
\(482\) 3.96265i 0.180494i
\(483\) 2.05521 2.07417i 0.0935152 0.0943779i
\(484\) −9.94981 −0.452264
\(485\) −5.92030 + 10.2543i −0.268827 + 0.465622i
\(486\) −11.1192 + 10.9254i −0.504377 + 0.495585i
\(487\) −23.9967 6.42991i −1.08740 0.291367i −0.329774 0.944060i \(-0.606972\pi\)
−0.757622 + 0.652693i \(0.773639\pi\)
\(488\) 0.307485 + 1.14755i 0.0139192 + 0.0519472i
\(489\) −16.5109 + 6.30464i −0.746648 + 0.285106i
\(490\) −6.65084 1.32563i −0.300454 0.0598860i
\(491\) 13.7326 0.619744 0.309872 0.950778i \(-0.399714\pi\)
0.309872 + 0.950778i \(0.399714\pi\)
\(492\) 0.117107 + 0.0187590i 0.00527957 + 0.000845722i
\(493\) −12.4135 + 7.16695i −0.559077 + 0.322783i
\(494\) 6.29712 7.73303i 0.283321 0.347925i
\(495\) −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
\(499\) 6.69439 + 24.9838i 0.299682 + 1.11843i 0.937427 + 0.348181i \(0.113201\pi\)
−0.637745 + 0.770247i \(0.720133\pi\)
\(500\) −2.27211 + 8.47965i −0.101612 + 0.379221i
\(501\) 27.9148 34.3483i 1.24714 1.53457i
\(502\) −24.6507 + 6.60513i −1.10021 + 0.294801i
\(503\) 23.5158i 1.04852i −0.851559 0.524260i \(-0.824342\pi\)
0.851559 0.524260i \(-0.175658\pi\)
\(504\) −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
\(507\) −15.1870 + 16.6239i −0.674478 + 0.738295i
\(508\) −10.1050 17.5024i −0.448338 0.776544i
\(509\) 36.3055 9.72802i 1.60921 0.431187i 0.661404 0.750030i \(-0.269961\pi\)
0.947808 + 0.318843i \(0.103294\pi\)
\(510\) 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
\(513\) 7.76391 + 12.0946i 0.342785 + 0.533989i
\(514\) 2.80369 10.4635i 0.123666 0.461526i
\(515\) −13.6142 3.64790i −0.599912 0.160746i
\(516\) −8.81411 12.1766i −0.388020 0.536043i
\(517\) 3.43644i 0.151134i
\(518\) −7.55288 + 1.24547i −0.331854 + 0.0547228i
\(519\) −3.56091 + 7.96024i −0.156307 + 0.349416i
\(520\) −3.44858 0.555858i −0.151230 0.0243760i
\(521\) 35.6395 20.5765i 1.56139 0.901472i 0.564278 0.825585i \(-0.309155\pi\)
0.997116 0.0758870i \(-0.0241788\pi\)
\(522\) 4.71057 + 9.32595i 0.206176 + 0.408186i
\(523\) 14.4894 25.0964i 0.633578 1.09739i −0.353236 0.935534i \(-0.614919\pi\)
0.986814 0.161855i \(-0.0517478\pi\)
\(524\) −4.08121 −0.178288
\(525\) −17.9552 + 4.89956i −0.783630 + 0.213834i
\(526\) −1.60873 + 1.60873i −0.0701440 + 0.0701440i
\(527\) 2.66011 + 9.92765i 0.115876 + 0.432455i
\(528\) −1.11946 + 1.37745i −0.0487181 + 0.0599460i
\(529\) 11.2970 + 19.5670i 0.491174 + 0.850738i
\(530\) 3.84413 6.65823i 0.166978 0.289215i
\(531\) −17.3836 0.972353i −0.754384 0.0421965i
\(532\) 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
\(535\) −8.01636 2.14798i −0.346577 0.0928651i
\(536\) −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
\(539\) −3.98306 5.96611i −0.171562 0.256978i
\(540\) 2.30905 4.47328i 0.0993659 0.192499i
\(541\) 6.93022 1.85695i 0.297953 0.0798364i −0.106745 0.994286i \(-0.534043\pi\)
0.404699 + 0.914450i \(0.367376\pi\)
\(542\) −28.0943 + 16.2202i −1.20675 + 0.696718i
\(543\) −0.138514 1.34055i −0.00594422 0.0575284i
\(544\) 3.97550 1.06523i 0.170448 0.0456715i
\(545\) 0.940998 0.0403079
\(546\) −5.94990 15.4142i −0.254632 0.659668i
\(547\) 3.41524 0.146025 0.0730126 0.997331i \(-0.476739\pi\)
0.0730126 + 0.997331i \(0.476739\pi\)
\(548\) −17.4258 + 4.66924i −0.744395 + 0.199460i
\(549\) 1.11328 3.38576i 0.0475137 0.144501i
\(550\) −3.60447 + 2.08104i −0.153695 + 0.0887358i
\(551\) 9.30461 2.49316i 0.396390 0.106212i
\(552\) 0.393694 + 1.03102i 0.0167567 + 0.0438833i
\(553\) −0.0643750 + 0.0528102i −0.00273751 + 0.00224572i
\(554\) 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
\(557\) −4.28820 1.14902i −0.181697 0.0486855i 0.166823 0.985987i \(-0.446649\pi\)
−0.348520 + 0.937301i \(0.613316\pi\)
\(558\) 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
\(561\) 2.60601 + 6.82475i 0.110026 + 0.288141i
\(562\) 9.21024 15.9526i 0.388511 0.672920i
\(563\) 11.0361 + 19.1151i 0.465116 + 0.805605i 0.999207 0.0398220i \(-0.0126791\pi\)
−0.534090 + 0.845427i \(0.679346\pi\)
\(564\) 4.50732 + 3.66310i 0.189792 + 0.154244i
\(565\) 2.04071 + 7.61602i 0.0858531 + 0.320408i
\(566\) −14.5934 + 14.5934i −0.613408 + 0.613408i
\(567\) 23.7800 1.22994i 0.998665 0.0516528i
\(568\) −12.1002 −0.507711
\(569\) −21.7766 + 37.7183i −0.912925 + 1.58123i −0.103013 + 0.994680i \(0.532848\pi\)
−0.809912 + 0.586552i \(0.800485\pi\)
\(570\) −3.60180 2.92719i −0.150863 0.122606i
\(571\) 29.0000 16.7431i 1.21361 0.700678i 0.250067 0.968229i \(-0.419548\pi\)
0.963544 + 0.267550i \(0.0862142\pi\)
\(572\) −2.16365 2.99517i −0.0904667 0.125234i
\(573\) 32.8738 + 14.7057i 1.37332 + 0.614338i
\(574\) −0.114902 0.140064i −0.00479591 0.00584616i
\(575\) 2.58786i 0.107921i
\(576\) −0.613411 2.93662i −0.0255588 0.122359i
\(577\) −13.5027 3.61803i −0.562124 0.150621i −0.0334420 0.999441i \(-0.510647\pi\)
−0.528682 + 0.848820i \(0.677314\pi\)
\(578\) −0.0157000 + 0.0585933i −0.000653035 + 0.00243716i
\(579\) −5.81367 + 36.2929i −0.241608 + 1.50828i
\(580\) −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
\(583\) 7.85538 2.10484i 0.325336 0.0871736i
\(584\) 6.61130 + 11.4511i 0.273578 + 0.473850i
\(585\) 7.74366 + 7.06052i 0.320161 + 0.291916i
\(586\) −15.4833 + 26.8179i −0.639610 + 1.10784i
\(587\) −16.7060 16.7060i −0.689531 0.689531i 0.272597 0.962128i \(-0.412117\pi\)
−0.962128 + 0.272597i \(0.912117\pi\)
\(588\) 12.0711 + 1.13534i 0.497803 + 0.0468206i
\(589\) 6.90705i 0.284600i
\(590\) 5.43099 1.45523i 0.223590 0.0599108i
\(591\) −3.81527 3.10067i −0.156939 0.127545i
\(592\) 0.748834 2.79469i 0.0307769 0.114861i
\(593\) −6.86959 25.6377i −0.282100 1.05281i −0.950932 0.309399i \(-0.899872\pi\)
0.668832 0.743413i \(-0.266795\pi\)
\(594\) 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
\(598\) −2.28546 + 0.233904i −0.0934593 + 0.00956503i
\(599\) 32.0100 18.4810i 1.30789 0.755112i 0.326148 0.945319i \(-0.394249\pi\)
0.981744 + 0.190206i \(0.0609157\pi\)
\(600\) 1.11266 6.94601i 0.0454244 0.283570i
\(601\) 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
\(603\) 5.04857 + 0.282392i 0.205594 + 0.0114999i
\(604\) −0.0427232 0.159445i −0.00173838 0.00648773i
\(605\) −9.31101 2.49488i −0.378546 0.101431i
\(606\) 15.2738 + 12.4130i 0.620456 + 0.504244i
\(607\) 13.3739 23.1642i 0.542829 0.940207i −0.455911 0.890025i \(-0.650686\pi\)
0.998740 0.0501821i \(-0.0159802\pi\)
\(608\) −2.76591 −0.112173
\(609\) 4.05986 15.4347i 0.164514 0.625447i
\(610\) 1.15098i 0.0466017i
\(611\) −9.80084 + 7.07992i −0.396499 + 0.286423i
\(612\) −11.7294 3.85678i −0.474134 0.155901i
\(613\) 5.79912 + 1.55387i 0.234224 + 0.0627602i 0.374022 0.927420i \(-0.377979\pi\)
−0.139798 + 0.990180i \(0.544645\pi\)
\(614\) −13.9649 8.06265i −0.563578 0.325382i
\(615\) 0.104884 + 0.0469187i 0.00422934 + 0.00189194i
\(616\) 2.67520 0.441141i 0.107787 0.0177741i
\(617\) 18.6670 + 18.6670i 0.751503 + 0.751503i 0.974760 0.223257i \(-0.0716688\pi\)
−0.223257 + 0.974760i \(0.571669\pi\)
\(618\) 24.8810 + 3.98563i 1.00086 + 0.160325i
\(619\) −5.95707 + 22.2321i −0.239435 + 0.893583i 0.736665 + 0.676258i \(0.236400\pi\)
−0.976099 + 0.217324i \(0.930267\pi\)
\(620\) −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
\(624\) 6.23491 + 0.354830i 0.249596 + 0.0142046i
\(625\) 5.90105 10.2209i 0.236042 0.408836i
\(626\) −1.32777 + 4.95532i −0.0530686 + 0.198055i
\(627\) −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
\(630\) −7.17110 + 2.77606i −0.285704 + 0.110601i
\(631\) 1.85070 + 1.85070i 0.0736750 + 0.0736750i 0.742984 0.669309i \(-0.233410\pi\)
−0.669309 + 0.742984i \(0.733410\pi\)
\(632\) −0.00814535 0.0303989i −0.000324005 0.00120920i
\(633\) 24.2065 2.50118i 0.962122 0.0994128i
\(634\) 23.3110 13.4586i 0.925797 0.534509i
\(635\) −5.06760 18.9125i −0.201101 0.750521i
\(636\) −5.61274 + 12.5470i −0.222560 + 0.497521i
\(637\) −8.80946 + 23.6515i −0.349043 + 0.937107i
\(638\) 3.56903i 0.141299i
\(639\) 30.3744 + 19.8776i 1.20159 + 0.786345i
\(640\) 0.484404 + 0.839013i 0.0191478 + 0.0331649i
\(641\) −16.8365 29.1616i −0.665001 1.15181i −0.979285 0.202486i \(-0.935098\pi\)
0.314285 0.949329i \(-0.398235\pi\)
\(642\) 14.6506 + 2.34684i 0.578211 + 0.0926222i
\(643\) −2.15687 + 2.15687i −0.0850587 + 0.0850587i −0.748356 0.663297i \(-0.769157\pi\)
0.663297 + 0.748356i \(0.269157\pi\)
\(644\) 0.594141 1.57766i 0.0234124 0.0621685i
\(645\) −5.19500 13.6049i −0.204553 0.535692i
\(646\) −5.69189 + 9.85864i −0.223944 + 0.387883i
\(647\) 20.9209 + 36.2361i 0.822487 + 1.42459i 0.903825 + 0.427902i \(0.140747\pi\)
−0.0813383 + 0.996687i \(0.525919\pi\)
\(648\) −3.28433 + 8.37933i −0.129021 + 0.329171i
\(649\) 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 0.265296 0.964167i \(-0.414530\pi\)
−0.702345 + 0.711837i \(0.747864\pi\)
\(654\) −1.67342 + 0.172909i −0.0654359 + 0.00676128i
\(655\) −3.81919 1.02335i −0.149228 0.0399855i
\(656\) 0.0661403 0.0177222i 0.00258234 0.000691937i
\(657\) 2.21536 39.6059i 0.0864293 1.54517i
\(658\) −1.44351 8.75383i −0.0562738 0.341260i
\(659\) 39.5546i 1.54083i 0.637543 + 0.770415i \(0.279951\pi\)
−0.637543 + 0.770415i \(0.720049\pi\)
\(660\) −1.39298 + 1.00832i −0.0542215 + 0.0392488i
\(661\) −11.1046 + 41.4429i −0.431919 + 1.61194i 0.316414 + 0.948621i \(0.397521\pi\)
−0.748333 + 0.663323i \(0.769146\pi\)
\(662\) −2.69901 4.67483i −0.104900 0.181692i
\(663\) 14.0954 21.4931i 0.547419 0.834724i
\(664\) −8.57460 −0.332759
\(665\) 1.15351 + 6.99519i 0.0447311 + 0.271262i
\(666\) −6.47074 + 5.78521i −0.250736 + 0.224172i
\(667\) −1.92181 1.10956i −0.0744129 0.0429623i
\(668\) 6.61390 24.6834i 0.255899 0.955030i
\(669\) 4.94599 6.08588i 0.191223 0.235294i
\(670\) −1.57728 + 0.422630i −0.0609355 + 0.0163276i
\(671\) −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 \(0.887448\pi\)
\(674\) −6.38338 23.8231i −0.245878 0.917631i
\(675\) −14.2037 + 15.6084i −0.546700 + 0.600767i
\(676\) −4.08468 + 12.3416i −0.157103 + 0.474677i
\(677\) −4.04856 2.33744i −0.155599 0.0898350i 0.420179 0.907441i \(-0.361967\pi\)
−0.575778 + 0.817606i \(0.695301\pi\)
\(678\) −5.02853 13.1689i −0.193119 0.505750i
\(679\) −29.4562 + 13.3395i −1.13042 + 0.511923i
\(680\) 3.98737 0.152909
\(681\) −6.07940 + 37.9518i −0.232963 + 1.45431i
\(682\) −2.47190 0.662345i −0.0946541 0.0253625i
\(683\) −49.3429 13.2214i −1.88805 0.505902i −0.998826 0.0484369i \(-0.984576\pi\)
−0.889227 0.457466i \(-0.848757\pi\)
\(684\) 6.94313 + 4.54372i 0.265477 + 0.173733i
\(685\) −17.4779 −0.667795
\(686\) −12.6524 13.5247i −0.483070 0.516375i
\(687\) 0.345358 0.131874i 0.0131762 0.00503131i
\(688\) −7.51593 4.33933i −0.286542 0.165435i
\(689\) −22.1871 18.0673i −0.845262 0.688310i
\(690\) 0.109893 + 1.06355i 0.00418355 + 0.0404886i
\(691\) −3.35934 12.5372i −0.127795 0.476938i 0.872129 0.489277i \(-0.162739\pi\)
−0.999924 + 0.0123385i \(0.996072\pi\)
\(692\) 5.03473i 0.191392i
\(693\) −7.44011 3.28733i −0.282627 0.124875i
\(694\) 18.3677 18.3677i 0.697230 0.697230i
\(695\) −17.9246 + 4.80288i −0.679919 + 0.182184i
\(696\) 4.68123 + 3.80443i 0.177442 + 0.144207i
\(697\) 0.0729402 0.272216i 0.00276281 0.0103109i
\(698\) −24.6052 14.2058i −0.931322 0.537699i
\(699\) −4.19555 + 9.37895i −0.158690 + 0.354744i
\(700\) −8.30770 + 6.81524i −0.314001 + 0.257592i
\(701\) 34.1302 1.28908 0.644541 0.764570i \(-0.277049\pi\)
0.644541 + 0.764570i \(0.277049\pi\)
\(702\) −15.0683 11.1331i −0.568716 0.420193i
\(703\) 4.00127 + 6.93040i 0.150911 + 0.261385i
\(704\) −0.265234 + 0.989868i −0.00999639 + 0.0373071i
\(705\) 3.29943 + 4.55811i 0.124264 + 0.171668i
\(706\) 13.1830i 0.496149i
\(707\) −4.89156 29.6638i −0.183966 1.11562i
\(708\) −9.39078 + 3.58585i −0.352927 + 0.134764i
\(709\) 26.0559 6.98166i 0.978550 0.262202i 0.266116 0.963941i \(-0.414259\pi\)
0.712434 + 0.701739i \(0.247593\pi\)
\(710\) −11.3233 3.03407i −0.424956 0.113867i
\(711\) −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
\(717\) −30.9042 25.1158i −1.15414 0.937968i
\(718\) 4.58974 + 7.94967i 0.171288 + 0.296679i
\(719\) −0.115201 + 0.199534i −0.00429627 + 0.00744135i −0.868166 0.496275i \(-0.834701\pi\)
0.863869 + 0.503716i \(0.168034\pi\)
\(720\) 0.162317 2.90189i 0.00604921 0.108147i
\(721\) −24.4126 29.7586i −0.909171 1.10827i
\(722\) −8.02547 + 8.02547i −0.298677 + 0.298677i
\(723\) −1.08561 + 6.77712i −0.0403743 + 0.252044i
\(724\) −0.389043 0.673842i −0.0144587 0.0250432i
\(725\) 7.07234 + 12.2496i 0.262660 + 0.454940i
\(726\) 17.0166 + 2.72585i 0.631547 + 0.101166i
\(727\) 19.6490i 0.728740i −0.931254 0.364370i \(-0.881284\pi\)
0.931254 0.364370i \(-0.118716\pi\)
\(728\) −6.76974 6.72091i −0.250903 0.249094i
\(729\) 22.0097 15.6389i 0.815173 0.579217i
\(730\) 3.31552 + 12.3737i 0.122713 + 0.457970i
\(731\) −30.9336 + 17.8595i −1.14412 + 0.660559i
\(732\) −0.211493 2.04683i −0.00781699 0.0756532i
\(733\) −2.63809 9.84548i −0.0974401 0.363651i 0.899938 0.436018i \(-0.143612\pi\)
−0.997378 + 0.0723665i \(0.976945\pi\)
\(734\) 10.5572 + 10.5572i 0.389674 + 0.389674i
\(735\) 11.0114 + 4.08923i 0.406162 + 0.150833i
\(736\) 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
\(739\) −6.99720 + 26.1139i −0.257396 + 0.960616i 0.709345 + 0.704861i \(0.248991\pi\)
−0.966742 + 0.255755i \(0.917676\pi\)
\(740\) 1.40151 2.42749i 0.0515207 0.0892364i
\(741\) −12.8882 + 11.5002i −0.473459 + 0.422471i
\(742\) 19.1263 8.66151i 0.702148 0.317974i
\(743\) −19.6477 19.6477i −0.720804 0.720804i 0.247965 0.968769i \(-0.420238\pi\)
−0.968769 + 0.247965i \(0.920238\pi\)
\(744\) 3.50370 2.53618i 0.128452 0.0929810i
\(745\) −17.1505 + 9.90187i −0.628347 + 0.362776i
\(746\) 5.59532 20.8820i 0.204859 0.764545i
\(747\) 21.5244 + 14.0860i 0.787537 + 0.515379i
\(748\) 2.98241 + 2.98241i 0.109048 + 0.109048i
\(749\) −14.3747 17.5226i −0.525241 0.640263i
\(750\) 6.20896 13.8798i 0.226719 0.506819i
\(751\) 29.8497 + 17.2337i 1.08923 + 0.628867i 0.933371 0.358912i \(-0.116852\pi\)
0.155859 + 0.987779i \(0.450185\pi\)
\(752\) 3.23906 + 0.867903i 0.118116 + 0.0316492i
\(753\) 43.9683 4.54310i 1.60229 0.165560i
\(754\) −10.1790 + 7.35309i −0.370697 + 0.267784i
\(755\) 0.159921i 0.00582012i
\(756\) 12.2426 6.25449i 0.445259 0.227474i
\(757\) 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
\(759\) −0.713299 + 0.877690i −0.0258911 + 0.0318581i
\(760\) −2.58833 0.693542i −0.0938887 0.0251574i
\(761\) −12.8087 47.8027i −0.464314 1.73284i −0.659152 0.752009i \(-0.729085\pi\)
0.194838 0.980835i \(-0.437582\pi\)
\(762\) 12.4871 + 32.7018i 0.452361 + 1.18466i
\(763\) 2.08856 + 1.49726i 0.0756111 + 0.0542045i
\(764\) 20.7922 0.752234
\(765\) −10.0093 6.55027i −0.361887 0.236826i
\(766\) −24.9262 + 14.3912i −0.900621 + 0.519974i
\(767\) −2.13044 20.8164i −0.0769258 0.751637i
\(768\) −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
\(772\) 5.49236 + 20.4978i 0.197674 + 0.737731i
\(773\) 2.65097 9.89355i 0.0953487 0.355846i −0.901723 0.432313i \(-0.857697\pi\)
0.997072 + 0.0764673i