Properties

Label 546.2.bv.a.515.25
Level $546$
Weight $2$
Character 546.515
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 515.25
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.25

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.01561 - 1.40305i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.935798 - 0.250746i) q^{5} +(-0.617867 - 1.61810i) q^{6} +(2.47599 - 0.932449i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-0.937080 + 2.84989i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.01561 - 1.40305i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.935798 - 0.250746i) q^{5} +(-0.617867 - 1.61810i) q^{6} +(2.47599 - 0.932449i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-0.937080 + 2.84989i) q^{9} +(-0.839013 - 0.484404i) q^{10} +(0.989868 - 0.265234i) q^{11} +(-0.178019 - 1.72288i) 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} +(-1.64276 + 2.51025i) q^{18} +(0.715871 - 2.67167i) q^{19} +(-0.685051 - 0.685051i) q^{20} +(-3.82291 - 2.52693i) q^{21} +1.02479 q^{22} +(-0.318592 - 0.551817i) q^{23} +(0.273960 - 1.71025i) 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} +(0.172467 + 1.66914i) q^{30} +(-2.41212 + 0.646325i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-1.37745 - 1.11946i) 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} +(-6.03063 + 1.62219i) q^{39} +(-0.484404 - 0.839013i) q^{40} +(-0.0484181 + 0.0484181i) q^{41} +(-3.03863 - 3.43027i) q^{42} +8.67865i q^{43} +(0.989868 + 0.265234i) q^{44} +(1.59152 - 2.43195i) 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} +(-7.09092 + 0.732681i) q^{51} +(2.79583 - 2.27669i) q^{52} +(6.87259 + 3.96789i) q^{53} +(5.19039 - 0.244568i) q^{54} -0.992823 q^{55} +(2.41013 + 1.09145i) q^{56} +(-4.47551 + 1.70897i) q^{57} +(0.901389 - 3.36403i) q^{58} +(5.60584 - 1.50208i) q^{59} +(-0.265415 + 1.65690i) q^{60} +(0.594016 + 1.02887i) q^{61} -2.49721 q^{62} +(0.337178 + 7.93009i) q^{63} +1.00000i q^{64} +(-2.04546 + 2.83157i) q^{65} +(-1.04078 - 1.43782i) 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} +(-2.67779 + 1.35256i) q^{72} +(3.42226 + 12.7721i) q^{73} +(2.50565 + 1.44664i) q^{74} +(0.723009 + 6.99731i) 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} +(-0.250746 - 0.935798i) q^{80} +(-7.24376 - 5.34115i) q^{81} +(-0.0592998 + 0.0342367i) q^{82} +(-6.06316 + 6.06316i) q^{83} +(-2.04727 - 4.09984i) q^{84} +(-2.81950 + 2.81950i) q^{85} +(-2.24620 + 8.38293i) q^{86} +(-4.88639 + 3.53706i) 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} +(3.35659 + 2.72790i) q^{93} +(-1.67666 + 2.90406i) q^{94} +(-1.33982 + 2.32064i) q^{95} +(1.09238 - 1.34414i) q^{96} +(-8.64212 - 8.64212i) q^{97} +(6.27690 - 3.09847i) q^{98} +(-0.171696 + 3.06956i) 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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

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

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
\(3\) −1.01561 1.40305i −0.586362 0.810049i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −0.935798 0.250746i −0.418501 0.112137i 0.0434222 0.999057i \(-0.486174\pi\)
−0.461924 + 0.886920i \(0.652841\pi\)
\(6\) −0.617867 1.61810i −0.252243 0.660586i
\(7\) 2.47599 0.932449i 0.935837 0.352433i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −0.937080 + 2.84989i −0.312360 + 0.949964i
\(10\) −0.839013 0.484404i −0.265319 0.153182i
\(11\) 0.989868 0.265234i 0.298456 0.0799712i −0.106483 0.994314i \(-0.533959\pi\)
0.404940 + 0.914343i \(0.367292\pi\)
\(12\) −0.178019 1.72288i −0.0513897 0.497352i
\(13\) 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 \(0.000328075\pi\)
\(18\) −1.64276 + 2.51025i −0.387201 + 0.591672i
\(19\) 0.715871 2.67167i 0.164232 0.612922i −0.833905 0.551908i \(-0.813900\pi\)
0.998137 0.0610140i \(-0.0194334\pi\)
\(20\) −0.685051 0.685051i −0.153182 0.153182i
\(21\) −3.82291 2.52693i −0.834227 0.551421i
\(22\) 1.02479 0.218485
\(23\) −0.318592 0.551817i −0.0664309 0.115062i 0.830897 0.556426i \(-0.187828\pi\)
−0.897328 + 0.441365i \(0.854495\pi\)
\(24\) 0.273960 1.71025i 0.0559219 0.349103i
\(25\) −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 \(-0.104813\pi\)
\(30\) 0.172467 + 1.66914i 0.0314880 + 0.304742i
\(31\) −2.41212 + 0.646325i −0.433229 + 0.116083i −0.468841 0.883282i \(-0.655328\pi\)
0.0356126 + 0.999366i \(0.488662\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) −1.37745 1.11946i −0.239784 0.194872i
\(34\) 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 0.481115 0.876658i \(-0.340232\pi\)
−0.0216713 + 0.999765i \(0.506899\pi\)
\(38\) 1.38296 2.39535i 0.224345 0.388577i
\(39\) −6.03063 + 1.62219i −0.965674 + 0.259758i
\(40\) −0.484404 0.839013i −0.0765911 0.132660i
\(41\) −0.0484181 + 0.0484181i −0.00756163 + 0.00756163i −0.710877 0.703316i \(-0.751702\pi\)
0.703316 + 0.710877i \(0.251702\pi\)
\(42\) −3.03863 3.43027i −0.468871 0.529302i
\(43\) 8.67865i 1.32348i 0.749733 + 0.661741i \(0.230182\pi\)
−0.749733 + 0.661741i \(0.769818\pi\)
\(44\) 0.989868 + 0.265234i 0.149228 + 0.0399856i
\(45\) 1.59152 2.43195i 0.237249 0.362534i
\(46\) −0.164915 0.615472i −0.0243154 0.0907463i
\(47\) −0.867903 + 3.23906i −0.126597 + 0.472465i −0.999892 0.0147269i \(-0.995312\pi\)
0.873295 + 0.487192i \(0.161979\pi\)
\(48\) 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
\(51\) −7.09092 + 0.732681i −0.992928 + 0.102596i
\(52\) 2.79583 2.27669i 0.387712 0.315720i
\(53\) 6.87259 + 3.96789i 0.944023 + 0.545032i 0.891219 0.453573i \(-0.149851\pi\)
0.0528037 + 0.998605i \(0.483184\pi\)
\(54\) 5.19039 0.244568i 0.706323 0.0332814i
\(55\) −0.992823 −0.133872
\(56\) 2.41013 + 1.09145i 0.322067 + 0.145851i
\(57\) −4.47551 + 1.70897i −0.592796 + 0.226358i
\(58\) 0.901389 3.36403i 0.118358 0.441719i
\(59\) 5.60584 1.50208i 0.729818 0.195554i 0.125270 0.992123i \(-0.460020\pi\)
0.604548 + 0.796568i \(0.293354\pi\)
\(60\) −0.265415 + 1.65690i −0.0342650 + 0.213905i
\(61\) 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
\(63\) 0.337178 + 7.93009i 0.0424804 + 0.999097i
\(64\) 1.00000i 0.125000i
\(65\) −2.04546 + 2.83157i −0.253708 + 0.351212i
\(66\) −1.04078 1.43782i −0.128111 0.176984i
\(67\) 1.62806 0.436237i 0.198899 0.0532948i −0.157994 0.987440i \(-0.550503\pi\)
0.356893 + 0.934145i \(0.383836\pi\)
\(68\) 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 −0.0155429 + 0.999879i \(0.504948\pi\)
−0.999879 + 0.0155429i \(0.995052\pi\)
\(72\) −2.67779 + 1.35256i −0.315581 + 0.159401i
\(73\) 3.42226 + 12.7721i 0.400545 + 1.49486i 0.812126 + 0.583482i \(0.198310\pi\)
−0.411581 + 0.911373i \(0.635023\pi\)
\(74\) 2.50565 + 1.44664i 0.291275 + 0.168168i
\(75\) 0.723009 + 6.99731i 0.0834859 + 0.807980i
\(76\) 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 \(0.833897\pi\)
\(80\) −0.250746 0.935798i −0.0280343 0.104625i
\(81\) −7.24376 5.34115i −0.804863 0.593461i
\(82\) −0.0592998 + 0.0342367i −0.00654856 + 0.00378082i
\(83\) −6.06316 + 6.06316i −0.665518 + 0.665518i −0.956675 0.291157i \(-0.905960\pi\)
0.291157 + 0.956675i \(0.405960\pi\)
\(84\) −2.04727 4.09984i −0.223376 0.447329i
\(85\) −2.81950 + 2.81950i −0.305817 + 0.305817i
\(86\) −2.24620 + 8.38293i −0.242214 + 0.903955i
\(87\) −4.88639 + 3.53706i −0.523876 + 0.379213i
\(88\) 0.887491 + 0.512393i 0.0946069 + 0.0546213i
\(89\) −1.67059 + 6.23472i −0.177082 + 0.660879i 0.819106 + 0.573643i \(0.194470\pi\)
−0.996188 + 0.0872363i \(0.972196\pi\)
\(90\) 2.16672 1.93717i 0.228393 0.204196i
\(91\) 0.0345255 9.53933i 0.00361926 0.999993i
\(92\) 0.637183i 0.0664309i
\(93\) 3.35659 + 2.72790i 0.348062 + 0.282870i
\(94\) −1.67666 + 2.90406i −0.172934 + 0.299531i
\(95\) −1.33982 + 2.32064i −0.137463 + 0.238092i
\(96\) 1.09238 1.34414i 0.111491 0.137185i
\(97\) −8.64212 8.64212i −0.877475 0.877475i 0.115798 0.993273i \(-0.463057\pi\)
−0.993273 + 0.115798i \(0.963057\pi\)
\(98\) 6.27690 3.09847i 0.634063 0.312993i
\(99\) −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 \(-0.0245900\pi\)
\(102\) −7.03894 1.12755i −0.696959 0.111644i
\(103\) −12.5991 + 7.27409i −1.24143 + 0.716738i −0.969385 0.245548i \(-0.921032\pi\)
−0.272042 + 0.962285i \(0.587699\pi\)
\(104\) 3.28982 1.47550i 0.322593 0.144685i
\(105\) 2.94385 + 3.32327i 0.287290 + 0.324318i
\(106\) 5.61145 + 5.61145i 0.545032 + 0.545032i
\(107\) 7.41867 4.28317i 0.717189 0.414070i −0.0965279 0.995330i \(-0.530774\pi\)
0.813717 + 0.581261i \(0.197440\pi\)
\(108\) 5.07683 + 1.10714i 0.488519 + 0.106534i
\(109\) 0.938198 0.251389i 0.0898631 0.0240787i −0.213607 0.976920i \(-0.568521\pi\)
0.303470 + 0.952841i \(0.401855\pi\)
\(110\) −0.958993 0.256961i −0.0914364 0.0245003i
\(111\) −1.78766 4.68160i −0.169677 0.444357i
\(112\) 2.04552 + 1.67805i 0.193284 + 0.158561i
\(113\) 8.13853i 0.765608i 0.923829 + 0.382804i \(0.125042\pi\)
−0.923829 + 0.382804i \(0.874958\pi\)
\(114\) −4.76533 + 0.492385i −0.446314 + 0.0461161i
\(115\) 0.159771 + 0.596274i 0.0148987 + 0.0556029i
\(116\) 1.74135 3.01611i 0.161680 0.280039i
\(117\) 8.40076 + 6.81375i 0.776651 + 0.629931i
\(118\) 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
\(123\) 0.117107 + 0.0187590i 0.0105591 + 0.00169144i
\(124\) −2.41212 0.646325i −0.216614 0.0580417i
\(125\) 6.20753 + 6.20753i 0.555218 + 0.555218i
\(126\) −1.72677 + 7.74715i −0.153833 + 0.690171i
\(127\) 20.2101i 1.79335i 0.442687 + 0.896676i \(0.354025\pi\)
−0.442687 + 0.896676i \(0.645975\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) 12.1766 8.81411i 1.07209 0.776039i
\(130\) −2.70863 + 2.20568i −0.237562 + 0.193451i
\(131\) 3.53443 2.04060i 0.308805 0.178288i −0.337587 0.941294i \(-0.609611\pi\)
0.646391 + 0.763006i \(0.276277\pi\)
\(132\) −0.633182 1.65820i −0.0551114 0.144328i
\(133\) −0.718703 7.28254i −0.0623194 0.631476i
\(134\) 1.68549 0.145604
\(135\) −5.02850 + 0.236939i −0.432784 + 0.0203925i
\(136\) 3.97550 1.06523i 0.340897 0.0913429i
\(137\) 17.4258 4.66924i 1.48879 0.398920i 0.579462 0.814999i \(-0.303263\pi\)
0.909328 + 0.416079i \(0.136596\pi\)
\(138\) −0.696046 + 0.856462i −0.0592514 + 0.0729069i
\(139\) −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
\(143\) 0.376189 3.67572i 0.0314585 0.307379i
\(144\) −2.93662 + 0.613411i −0.244718 + 0.0511176i
\(145\) −0.873274 + 3.25910i −0.0725215 + 0.270654i
\(146\) 13.2226i 1.09431i
\(147\) −11.8217 2.69199i −0.975039 0.222032i
\(148\) 2.04585 + 2.04585i 0.168168 + 0.168168i
\(149\) 19.7448 + 5.29060i 1.61756 + 0.433423i 0.950282 0.311389i \(-0.100794\pi\)
0.667274 + 0.744812i \(0.267461\pi\)
\(150\) −1.11266 + 6.94601i −0.0908487 + 0.567140i
\(151\) 0.0427232 + 0.159445i 0.00347676 + 0.0129755i 0.967642 0.252325i \(-0.0811954\pi\)
−0.964166 + 0.265301i \(0.914529\pi\)
\(152\) 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
\(156\) −6.03377 1.61046i −0.483088 0.128940i
\(157\) 2.07855 3.60015i 0.165886 0.287323i −0.771083 0.636734i \(-0.780285\pi\)
0.936970 + 0.349411i \(0.113618\pi\)
\(158\) −0.00814535 0.0303989i −0.000648009 0.00241840i
\(159\) −1.41272 13.6724i −0.112036 1.08429i
\(160\) 0.968809i 0.0765911i
\(161\) −1.30337 1.06922i −0.102720 0.0842666i
\(162\) −5.61455 7.03398i −0.441120 0.552642i
\(163\) −9.85619 2.64096i −0.771997 0.206856i −0.148743 0.988876i \(-0.547523\pi\)
−0.623253 + 0.782020i \(0.714189\pi\)
\(164\) −0.0661403 + 0.0177222i −0.00516469 + 0.00138387i
\(165\) 1.00832 + 1.39298i 0.0784975 + 0.108443i
\(166\) −7.42583 + 4.28730i −0.576356 + 0.332759i
\(167\) −18.0695 18.0695i −1.39826 1.39826i −0.805040 0.593220i \(-0.797856\pi\)
−0.593220 0.805040i \(-0.702144\pi\)
\(168\) −0.916395 4.49001i −0.0707014 0.346412i
\(169\) −9.70824 8.64581i −0.746788 0.665062i
\(170\) −3.45316 + 1.99368i −0.264845 + 0.152909i
\(171\) 6.94313 + 4.54372i 0.530954 + 0.347467i
\(172\) −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
\(175\) −10.6023 1.74832i −0.801458 0.132161i
\(176\) 0.724634 + 0.724634i 0.0546213 + 0.0546213i
\(177\) −7.80083 6.33973i −0.586346 0.476523i
\(178\) −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 \(0.196418\pi\)
\(180\) 2.59427 1.31037i 0.193365 0.0976695i
\(181\) 0.778086i 0.0578347i 0.999582 + 0.0289173i \(0.00920596\pi\)
−0.999582 + 0.0289173i \(0.990794\pi\)
\(182\) 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
\(186\) 2.53618 + 3.50370i 0.185962 + 0.256904i
\(187\) 1.09164 4.07404i 0.0798283 0.297923i
\(188\) −2.37115 + 2.37115i −0.172934 + 0.172934i
\(189\) 10.7838 8.52694i 0.784409 0.620244i
\(190\) −1.89479 + 1.89479i −0.137463 + 0.137463i
\(191\) −18.0065 + 10.3961i −1.30291 + 0.752234i −0.980902 0.194503i \(-0.937690\pi\)
−0.322006 + 0.946738i \(0.604357\pi\)
\(192\) 1.40305 1.01561i 0.101256 0.0732952i
\(193\) −5.49236 20.4978i −0.395349 1.47546i −0.821185 0.570662i \(-0.806687\pi\)
0.425837 0.904800i \(-0.359980\pi\)
\(194\) −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 −0.631983 0.774982i \(-0.717759\pi\)
0.774982 + 0.631983i \(0.217759\pi\)
\(198\) −0.960307 + 2.92053i −0.0682460 + 0.207553i
\(199\) 11.4097 + 6.58738i 0.808811 + 0.466967i 0.846543 0.532321i \(-0.178680\pi\)
−0.0377317 + 0.999288i \(0.512013\pi\)
\(200\) −1.05117 3.92302i −0.0743289 0.277399i
\(201\) −2.26553 1.84119i −0.159798 0.129868i
\(202\) 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
\(207\) 1.87116 0.390855i 0.130055 0.0271663i
\(208\) 3.55961 0.573754i 0.246814 0.0397827i
\(209\) 2.83447i 0.196064i
\(210\) 1.98341 + 3.97196i 0.136869 + 0.274091i
\(211\) 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
\(213\) 20.6943 + 3.31496i 1.41795 + 0.227137i
\(214\) 8.27445 2.21713i 0.565629 0.151560i
\(215\) 2.17614 8.12146i 0.148411 0.553879i
\(216\) 4.61730 + 2.38340i 0.314167 + 0.162169i
\(217\) −5.36972 + 3.84947i −0.364520 + 0.261319i
\(218\) 0.971294 0.0657843
\(219\) 14.4441 17.7730i 0.976042 1.20099i
\(220\) −0.859810 0.496411i −0.0579683 0.0334680i
\(221\) −9.37027 11.5069i −0.630312 0.774040i
\(222\) −0.515058 4.98475i −0.0345684 0.334555i
\(223\) 3.20158 + 3.20158i 0.214394 + 0.214394i 0.806131 0.591737i \(-0.201558\pi\)
−0.591737 + 0.806131i \(0.701558\pi\)
\(224\) 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 0.844066 + 0.536239i \(0.180155\pi\)
−0.462863 + 0.886430i \(0.653178\pi\)
\(228\) −4.73039 0.757750i −0.313278 0.0501832i
\(229\) 0.206162 + 0.0552409i 0.0136236 + 0.00365042i 0.265624 0.964077i \(-0.414422\pi\)
−0.252001 + 0.967727i \(0.581089\pi\)
\(230\) 0.617309i 0.0407041i
\(231\) −4.45440 1.48736i −0.293078 0.0978611i
\(232\) 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 \(0.771086\pi\)
\(234\) 6.35099 + 8.75585i 0.415177 + 0.572388i
\(235\) 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 0.0530291 0.998593i \(-0.483112\pi\)
0.998593 0.0530291i \(-0.0168876\pi\)
\(240\) −1.05831 + 1.30221i −0.0683135 + 0.0840575i
\(241\) −1.02561 3.82763i −0.0660653 0.246559i 0.924994 0.379982i \(-0.124070\pi\)
−0.991059 + 0.133423i \(0.957403\pi\)
\(242\) −9.61078 + 2.57520i −0.617804 + 0.165540i
\(243\) −0.137057 + 15.5879i −0.00879224 + 0.999961i
\(244\) 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
\(249\) 14.6647 + 2.34910i 0.929337 + 0.148868i
\(250\) 4.38939 + 7.60264i 0.277609 + 0.480833i
\(251\) −25.5203 −1.61082 −0.805412 0.592715i \(-0.798056\pi\)
−0.805412 + 0.592715i \(0.798056\pi\)
\(252\) −3.67304 + 7.03625i −0.231380 + 0.443242i
\(253\) −0.461724 0.461724i −0.0290284 0.0290284i
\(254\) −5.23075 + 19.5214i −0.328206 + 1.22488i
\(255\) 6.81939 + 1.09238i 0.427047 + 0.0684075i
\(256\) −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
\(261\) 9.92532 + 3.26357i 0.614362 + 0.202010i
\(262\) 3.94215 1.05629i 0.243547 0.0652581i
\(263\) −1.97029 1.13755i −0.121493 0.0701440i 0.438022 0.898964i \(-0.355679\pi\)
−0.559515 + 0.828820i \(0.689013\pi\)
\(264\) −0.182432 1.76558i −0.0112279 0.108664i
\(265\) −5.43642 5.43642i −0.333957 0.333957i
\(266\) 1.19065 7.22040i 0.0730032 0.442711i
\(267\) 10.4443 3.98812i 0.639179 0.244069i
\(268\) 1.62806 + 0.436237i 0.0994494 + 0.0266474i
\(269\) −14.0370 8.10427i −0.855852 0.494126i 0.00676921 0.999977i \(-0.497845\pi\)
−0.862621 + 0.505851i \(0.831179\pi\)
\(270\) −4.91848 1.07261i −0.299329 0.0652767i
\(271\) 31.3351 + 8.39621i 1.90347 + 0.510033i 0.995937 + 0.0900530i \(0.0287036\pi\)
0.907533 + 0.419980i \(0.137963\pi\)
\(272\) 4.11574 0.249554
\(273\) −13.4192 + 9.63978i −0.812166 + 0.583426i
\(274\) 18.0406 1.08987
\(275\) −4.02026 1.07723i −0.242431 0.0649591i
\(276\) −0.893998 + 0.647128i −0.0538123 + 0.0389526i
\(277\) −24.4046 14.0900i −1.46633 0.846585i −0.467037 0.884238i \(-0.654679\pi\)
−0.999291 + 0.0376525i \(0.988012\pi\)
\(278\) −18.5017 4.95751i −1.10966 0.297332i
\(279\) 0.418390 7.47993i 0.0250484 0.447812i
\(280\) −1.98172 1.62571i −0.118430 0.0971546i
\(281\) 13.0253 + 13.0253i 0.777021 + 0.777021i 0.979323 0.202302i \(-0.0648422\pi\)
−0.202302 + 0.979323i \(0.564842\pi\)
\(282\) 5.77736 0.596955i 0.344037 0.0355482i
\(283\) 17.8732 + 10.3191i 1.06245 + 0.613408i 0.926110 0.377254i \(-0.123132\pi\)
0.136344 + 0.990662i \(0.456465\pi\)
\(284\) −11.6878 + 3.13175i −0.693546 + 0.185835i
\(285\) 4.61669 0.477027i 0.273469 0.0282567i
\(286\) 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
\(291\) −3.34829 + 20.9023i −0.196280 + 1.22532i
\(292\) −3.42226 + 12.7721i −0.200273 + 0.747428i
\(293\) −21.8967 21.8967i −1.27922 1.27922i −0.941104 0.338117i \(-0.890210\pi\)
−0.338117 0.941104i \(-0.609790\pi\)
\(294\) −10.7222 5.65995i −0.625330 0.330095i
\(295\) −5.62257 −0.327359
\(296\) 1.44664 + 2.50565i 0.0840840 + 0.145638i
\(297\) 4.48111 2.87657i 0.260021 0.166916i
\(298\) 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
\(303\) −19.5775 + 2.02288i −1.12470 + 0.116212i
\(304\) 2.67167 0.715871i 0.153231 0.0410580i
\(305\) −0.297895 1.11176i −0.0170574 0.0636591i
\(306\) 5.56680 + 11.0211i 0.318233 + 0.630035i
\(307\) 11.4023 11.4023i 0.650764 0.650764i −0.302413 0.953177i \(-0.597792\pi\)
0.953177 + 0.302413i \(0.0977921\pi\)
\(308\) 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 \(-0.998868\pi\)
0.503077 + 0.864242i \(0.332201\pi\)
\(312\) −5.41136 3.11724i −0.306358 0.176479i
\(313\) 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
\(315\) 1.67291 7.50550i 0.0942578 0.422887i
\(316\) 0.0314712i 0.00177039i
\(317\) 26.0000 + 6.96668i 1.46031 + 0.391288i 0.899596 0.436724i \(-0.143861\pi\)
0.560711 + 0.828012i \(0.310528\pi\)
\(318\) 2.17409 13.5722i 0.121917 0.761088i
\(319\) −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
\(324\) −3.60271 8.24745i −0.200150 0.458192i
\(325\) −11.3550 + 9.24657i −0.629863 + 0.512907i
\(326\) −8.83682 5.10194i −0.489426 0.282570i
\(327\) −1.30555 1.06102i −0.0721972 0.0586747i
\(328\) −0.0684735 −0.00378082
\(329\) 0.871336 + 8.82915i 0.0480383 + 0.486767i
\(330\) 0.613432 + 1.60648i 0.0337683 + 0.0884340i
\(331\) 1.39711 5.21409i 0.0767922 0.286592i −0.916841 0.399251i \(-0.869270\pi\)
0.993634 + 0.112659i \(0.0359367\pi\)
\(332\) −8.28243 + 2.21927i −0.454557 + 0.121798i
\(333\) −4.75294 + 7.26283i −0.260459 + 0.398001i
\(334\) −12.7771 22.1305i −0.699130 1.21093i
\(335\) −1.63292 −0.0892158
\(336\) 0.276931 4.57420i 0.0151078 0.249543i
\(337\) 24.6635i 1.34350i −0.740776 0.671752i \(-0.765542\pi\)
0.740776 0.671752i \(-0.234458\pi\)
\(338\) −7.13974 10.8639i −0.388351 0.590918i
\(339\) 11.4187 8.26556i 0.620181 0.448923i
\(340\) −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
\(345\) 0.674336 0.829748i 0.0363050 0.0446721i
\(346\) 1.30308 + 4.86317i 0.0700542 + 0.261446i
\(347\) 22.4958 + 12.9880i 1.20764 + 0.697230i 0.962243 0.272193i \(-0.0877489\pi\)
0.245395 + 0.969423i \(0.421082\pi\)
\(348\) −6.00027 + 0.619988i −0.321648 + 0.0332348i
\(349\) 20.0901 20.0901i 1.07540 1.07540i 0.0784823 0.996916i \(-0.474993\pi\)
0.996916 0.0784823i \(-0.0250074\pi\)
\(350\) −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
\(353\) 3.41201 + 12.7338i 0.181603 + 0.677752i 0.995332 + 0.0965075i \(0.0307672\pi\)
−0.813729 + 0.581244i \(0.802566\pi\)
\(354\) −5.89418 8.14271i −0.313272 0.432780i
\(355\) 10.1522 5.86137i 0.538822 0.311089i
\(356\) −4.56413 + 4.56413i −0.241898 + 0.241898i
\(357\) −16.8739 + 8.42604i −0.893061 + 0.445953i
\(358\) −1.76589 + 1.76589i −0.0933302 + 0.0933302i
\(359\) 2.37583 8.86671i 0.125391 0.467967i −0.874462 0.485094i \(-0.838785\pi\)
0.999853 + 0.0171272i \(0.00545203\pi\)
\(360\) 2.84502 0.594278i 0.149946 0.0313212i
\(361\) 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
\(366\) 1.29778 1.59688i 0.0678362 0.0834702i
\(367\) −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
\(369\) −0.0926146 0.183358i −0.00482133 0.00954523i
\(370\) −1.98204 1.98204i −0.103041 0.103041i
\(371\) 20.7163 + 3.41613i 1.07554 + 0.177356i
\(372\) 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
\(375\) 2.40504 15.0139i 0.124196 0.775313i
\(376\) −2.90406 + 1.67666i −0.149765 + 0.0864671i
\(377\) −11.7353 4.46802i −0.604397 0.230115i
\(378\) 12.6233 5.44533i 0.649274 0.280077i
\(379\) 14.4640 + 14.4640i 0.742967 + 0.742967i 0.973148 0.230181i \(-0.0739318\pi\)
−0.230181 + 0.973148i \(0.573932\pi\)
\(380\) −2.32064 + 1.33982i −0.119046 + 0.0687313i
\(381\) 28.3557 20.5255i 1.45270 1.05155i
\(382\) −20.0837 + 5.38141i −1.02757 + 0.275337i
\(383\) −27.8016 7.44941i −1.42059 0.380647i −0.534900 0.844915i \(-0.679651\pi\)
−0.885695 + 0.464268i \(0.846317\pi\)
\(384\) 1.61810 0.617867i 0.0825732 0.0315304i
\(385\) −2.45822 + 0.925757i −0.125283 + 0.0471809i
\(386\) 21.2209i 1.08011i
\(387\) −24.7332 8.13259i −1.25726 0.413403i
\(388\) −3.16324 11.8054i −0.160589 0.599326i
\(389\) 2.90415 5.03013i 0.147246 0.255038i −0.782963 0.622069i \(-0.786292\pi\)
0.930209 + 0.367031i \(0.119626\pi\)
\(390\) 5.84557 + 1.56023i 0.296002 + 0.0790052i
\(391\) −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
\(396\) −1.68347 + 2.57247i −0.0845978 + 0.129272i
\(397\) −20.5855 5.51587i −1.03316 0.276834i −0.297882 0.954603i \(-0.596280\pi\)
−0.735275 + 0.677769i \(0.762947\pi\)
\(398\) 9.31597 + 9.31597i 0.466967 + 0.466967i
\(399\) −9.48782 + 8.40458i −0.474985 + 0.420755i
\(400\) 4.06141i 0.203070i
\(401\) 1.52226 5.68116i 0.0760181 0.283703i −0.917444 0.397865i \(-0.869751\pi\)
0.993462 + 0.114161i \(0.0364180\pi\)
\(402\) −1.71180 2.36482i −0.0853766 0.117946i
\(403\) −0.916700 + 8.95702i −0.0456641 + 0.446181i
\(404\) 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
\(408\) −5.53212 4.49596i −0.273881 0.222583i
\(409\) 0.349927 0.0937626i 0.0173028 0.00463626i −0.250157 0.968205i \(-0.580482\pi\)
0.267460 + 0.963569i \(0.413816\pi\)
\(410\) 0.0640773 0.0171695i 0.00316455 0.000847939i
\(411\) −24.2490 19.7072i −1.19611 0.972082i
\(412\) −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
\(416\) 3.58682 + 0.367090i 0.175858 + 0.0179981i
\(417\) 19.4533 + 26.8745i 0.952634 + 1.31605i
\(418\) 0.733615 2.73789i 0.0358823 0.133914i
\(419\) 4.19355i 0.204869i −0.994740 0.102434i \(-0.967337\pi\)
0.994740 0.102434i \(-0.0326631\pi\)
\(420\) 0.887812 + 4.34997i 0.0433208 + 0.212257i
\(421\) −1.34291 1.34291i −0.0654495 0.0654495i 0.673624 0.739074i \(-0.264737\pi\)
−0.739074 + 0.673624i \(0.764737\pi\)
\(422\) 13.5713 + 3.63642i 0.660640 + 0.177018i
\(423\) −8.41767 5.50868i −0.409281 0.267841i
\(424\) 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
\(429\) −5.53927 + 3.20528i −0.267438 + 0.154752i
\(430\) 4.20398 7.28150i 0.202734 0.351145i
\(431\) −8.43634 31.4848i −0.406364 1.51657i −0.801526 0.597960i \(-0.795978\pi\)
0.395162 0.918611i \(-0.370688\pi\)
\(432\) 3.84310 + 3.49723i 0.184901 + 0.168260i
\(433\) 21.9098i 1.05292i 0.850201 + 0.526458i \(0.176480\pi\)
−0.850201 + 0.526458i \(0.823520\pi\)
\(434\) −6.18306 + 2.32852i −0.296797 + 0.111772i
\(435\) 5.45958 2.08473i 0.261767 0.0999551i
\(436\) 0.938198 + 0.251389i 0.0449315 + 0.0120394i
\(437\) −1.70234 + 0.456141i −0.0814340 + 0.0218202i
\(438\) 18.5519 13.4290i 0.886445 0.641662i
\(439\) −5.86906 + 3.38851i −0.280115 + 0.161725i −0.633476 0.773763i \(-0.718372\pi\)
0.353360 + 0.935487i \(0.385039\pi\)
\(440\) −0.702032 0.702032i −0.0334680 0.0334680i
\(441\) 8.22926 + 19.3204i 0.391869 + 0.920021i
\(442\) −6.07277 13.5400i −0.288852 0.644034i
\(443\) −30.3397 + 17.5166i −1.44148 + 0.832240i −0.997949 0.0640182i \(-0.979608\pi\)
−0.443533 + 0.896258i \(0.646275\pi\)
\(444\) 0.792641 4.94821i 0.0376171 0.234832i
\(445\) 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
\(448\) 0.932449 + 2.47599i 0.0440541 + 0.116980i
\(449\) −2.14151 2.14151i −0.101064 0.101064i 0.654767 0.755831i \(-0.272767\pi\)
−0.755831 + 0.654767i \(0.772767\pi\)
\(450\) 10.8756 5.49331i 0.512681 0.258957i
\(451\) −0.0350854 + 0.0607696i −0.00165210 + 0.00286153i
\(452\) −4.06926 + 7.04817i −0.191402 + 0.331518i
\(453\) 0.180319 0.221876i 0.00847212 0.0104247i
\(454\) 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 0.455252 + 0.890363i \(0.349549\pi\)
−0.839441 + 0.543451i \(0.817118\pi\)
\(458\) 0.184840 + 0.106717i 0.00863698 + 0.00498657i
\(459\) 4.55670 20.8949i 0.212688 0.975292i
\(460\) −0.159771 + 0.596274i −0.00744937 + 0.0278014i
\(461\) −11.2027 + 11.2027i −0.521764 + 0.521764i −0.918104 0.396340i \(-0.870280\pi\)
0.396340 + 0.918104i \(0.370280\pi\)
\(462\) −3.91767 2.58956i −0.182266 0.120477i
\(463\) −17.5213 + 17.5213i −0.814284 + 0.814284i −0.985273 0.170989i \(-0.945304\pi\)
0.170989 + 0.985273i \(0.445304\pi\)
\(464\) 3.01611 1.74135i 0.140019 0.0808402i
\(465\) −2.45708 3.39441i −0.113944 0.157412i
\(466\) 1.53533 + 5.72991i 0.0711226 + 0.265433i
\(467\) 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
\(471\) −7.16217 + 0.740043i −0.330015 + 0.0340994i
\(472\) 5.02606 + 2.90180i 0.231343 + 0.133566i
\(473\) 2.30188 + 8.59072i 0.105840 + 0.395002i
\(474\) −0.0343785 + 0.0423016i −0.00157906 + 0.00194298i
\(475\) −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 \(-0.543303\pi\)
0.377929 + 0.925835i \(0.376637\pi\)
\(480\) −1.35928 + 0.983930i −0.0620425 + 0.0449101i
\(481\) 6.10861 8.45624i 0.278529 0.385572i
\(482\) 3.96265i 0.180494i
\(483\) −0.176456 + 2.91460i −0.00802901 + 0.132619i
\(484\) −9.94981 −0.452264
\(485\) 5.92030 + 10.2543i 0.268827 + 0.465622i
\(486\) −4.16682 + 15.0212i −0.189011 + 0.681377i
\(487\) −23.9967 + 6.42991i −1.08740 + 0.291367i −0.757622 0.652693i \(-0.773639\pi\)
−0.329774 + 0.944060i \(0.606972\pi\)
\(488\) −0.307485 + 1.14755i −0.0139192 + 0.0519472i
\(489\) 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 \(0.600286\pi\)
\(492\) 0.0920378 + 0.0747991i 0.00414938 + 0.00337220i
\(493\) −12.4135 7.16695i −0.559077 0.322783i
\(494\) −6.29712 7.73303i −0.283321 0.347925i
\(495\) 0.930354 2.82944i 0.0418163 0.127174i
\(496\) −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 −0.637745 0.770247i \(-0.720133\pi\)
0.937427 0.348181i \(-0.113201\pi\)
\(500\) 2.27211 + 8.47965i 0.101612 + 0.379221i
\(501\) −7.00082 + 43.7039i −0.312774 + 1.95255i
\(502\) −24.6507 6.60513i −1.10021 0.294801i
\(503\) 23.5158i 1.04852i −0.851559 0.524260i \(-0.824342\pi\)
0.851559 0.524260i \(-0.175658\pi\)
\(504\) −5.36900 + 5.84584i −0.239154 + 0.260394i
\(505\) −7.78443 + 7.78443i −0.346403 + 0.346403i
\(506\) −0.326488 0.565494i −0.0145142 0.0251393i
\(507\) −2.27070 + 22.4019i −0.100845 + 0.994902i
\(508\) −10.1050 + 17.5024i −0.448338 + 0.776544i
\(509\) −36.3055 9.72802i −1.60921 0.431187i −0.661404 0.750030i \(-0.730039\pi\)
−0.947808 + 0.318843i \(0.896706\pi\)
\(510\) 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
\(513\) −0.676453 14.3562i −0.0298661 0.633840i
\(514\) 2.80369 + 10.4635i 0.123666 + 0.461526i
\(515\) 13.6142 3.64790i 0.599912 0.160746i
\(516\) 14.9523 1.54497i 0.658236 0.0680134i
\(517\) 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 −0.997116 0.0758870i \(-0.975821\pi\)
−0.564278 0.825585i \(-0.690845\pi\)
\(522\) 8.74245 + 5.72123i 0.382647 + 0.250411i
\(523\) 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
\(525\) 8.31481 + 16.6511i 0.362888 + 0.726715i
\(526\) −1.60873 1.60873i −0.0701440 0.0701440i
\(527\) −2.66011 + 9.92765i −0.115876 + 0.432455i
\(528\) 0.280751 1.75264i 0.0122181 0.0762738i
\(529\) 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
\(534\) 11.1206 1.14905i 0.481235 0.0497244i
\(535\) −8.01636 + 2.14798i −0.346577 + 0.0928651i
\(536\) 1.45968 + 0.842744i 0.0630484 + 0.0364010i
\(537\) 4.30262 0.444576i 0.185672 0.0191849i
\(538\) −11.4612 11.4612i −0.494126 0.494126i
\(539\) 3.98306 5.96611i 0.171562 0.256978i
\(540\) −4.47328 2.30905i −0.192499 0.0993659i
\(541\) 6.93022 + 1.85695i 0.297953 + 0.0798364i 0.404699 0.914450i \(-0.367376\pi\)
−0.106745 + 0.994286i \(0.534043\pi\)
\(542\) 28.0943 + 16.2202i 1.20675 + 0.696718i
\(543\) 1.09169 0.790231i 0.0468490 0.0339121i
\(544\) 3.97550 + 1.06523i 0.170448 + 0.0456715i
\(545\) −0.940998 −0.0403079
\(546\) −15.4569 + 5.83817i −0.661494 + 0.249851i
\(547\) 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
\(549\) −3.48880 + 0.728752i −0.148898 + 0.0311024i
\(550\) −3.60447 2.08104i −0.153695 0.0887358i
\(551\) −9.30461 2.49316i −0.396390 0.106212i
\(552\) −1.03102 + 0.393694i −0.0438833 + 0.0167567i
\(553\) −0.0643750 0.0528102i −0.00273751 0.00224572i
\(554\) −19.9262 19.9262i −0.846585 0.846585i
\(555\) 0.498993 + 4.82927i 0.0211811 + 0.204991i
\(556\) −16.5882 9.57718i −0.703495 0.406163i
\(557\) 4.28820 1.14902i 0.181697 0.0486855i −0.166823 0.985987i \(-0.553351\pi\)
0.348520 + 0.937301i \(0.386684\pi\)
\(558\) 2.34008 7.11677i 0.0990636 0.301277i
\(559\) 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 \(0.320654\pi\)
\(564\) 5.73500 + 0.918676i 0.241487 + 0.0386832i
\(565\) 2.04071 7.61602i 0.0858531 0.320408i
\(566\) 14.5934 + 14.5934i 0.613408 + 0.613408i
\(567\) −22.9159 6.47021i −0.962375 0.271723i
\(568\) −12.1002 −0.507711
\(569\) 21.7766 + 37.7183i 0.912925 + 1.58123i 0.809912 + 0.586552i \(0.199515\pi\)
0.103013 + 0.994680i \(0.467152\pi\)
\(570\) 4.58285 + 0.734115i 0.191954 + 0.0307487i
\(571\) 29.0000 + 16.7431i 1.21361 + 0.700678i 0.963544 0.267550i \(-0.0862142\pi\)
0.250067 + 0.968229i \(0.419548\pi\)
\(572\) 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
\(576\) −2.84989 0.937080i −0.118745 0.0390450i
\(577\) −13.5027 + 3.61803i −0.562124 + 0.150621i −0.528682 0.848820i \(-0.677314\pi\)
−0.0334420 + 0.999441i \(0.510647\pi\)
\(578\) 0.0157000 + 0.0585933i 0.000653035 + 0.00243716i
\(579\) −23.1812 + 28.5237i −0.963379 + 1.18541i
\(580\) −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
\(585\) −6.15289 8.48275i −0.254391 0.350719i
\(586\) −15.4833 26.8179i −0.639610 1.10784i
\(587\) 16.7060 16.7060i 0.689531 0.689531i −0.272597 0.962128i \(-0.587883\pi\)
0.962128 + 0.272597i \(0.0878826\pi\)
\(588\) −8.89192 8.24219i −0.366697 0.339902i
\(589\) 6.90705i 0.284600i
\(590\) −5.43099 1.45523i −0.223590 0.0599108i
\(591\) −4.85446 0.777624i −0.199686 0.0319872i
\(592\) 0.748834 + 2.79469i 0.0307769 + 0.114861i
\(593\) 6.86959 25.6377i 0.282100 1.05281i −0.668832 0.743413i \(-0.733205\pi\)
0.950932 0.309399i \(-0.100128\pi\)
\(594\) 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
\(597\) −2.34536 22.6985i −0.0959893 0.928989i
\(598\) −2.28546 0.233904i −0.0934593 0.00956503i
\(599\) −32.0100 18.4810i −1.30789 0.755112i −0.326148 0.945319i \(-0.605751\pi\)
−0.981744 + 0.190206i \(0.939084\pi\)
\(600\) −4.43660 + 5.45909i −0.181124 + 0.222867i
\(601\) 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
\(604\) −0.0427232 + 0.159445i −0.00173838 + 0.00648773i
\(605\) 9.31101 2.49488i 0.378546 0.101431i
\(606\) −19.4340 3.11309i −0.789453 0.126460i
\(607\) 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
\(609\) −8.80054 + 13.3140i −0.356616 + 0.539512i
\(610\) 1.15098i 0.0466017i
\(611\) 9.80084 + 7.07992i 0.396499 + 0.286423i
\(612\) 2.52464 + 12.0864i 0.102053 + 0.488562i
\(613\) 5.79912 1.55387i 0.234224 0.0627602i −0.139798 0.990180i \(-0.544645\pi\)
0.374022 + 0.927420i \(0.377979\pi\)
\(614\) 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 \(-0.928331\pi\)
0.223257 + 0.974760i \(0.428331\pi\)
\(618\) 19.5548 + 15.8922i 0.786608 + 0.639276i
\(619\) −5.95707 22.2321i −0.239435 0.893583i −0.976099 0.217324i \(-0.930267\pi\)
0.736665 0.676258i \(-0.236400\pi\)
\(620\) 2.09519 + 1.20966i 0.0841448 + 0.0485810i
\(621\) −2.44876 2.22837i −0.0982652 0.0894216i
\(622\) −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
\(626\) 1.32777 + 4.95532i 0.0530686 + 0.198055i
\(627\) −3.97689 + 2.87871i −0.158822 + 0.114965i
\(628\) 3.60015 2.07855i 0.143662 0.0829431i
\(629\) 8.42020 8.42020i 0.335735 0.335735i
\(630\) 3.55847 6.81678i 0.141773 0.271587i
\(631\) 1.85070 1.85070i 0.0736750 0.0736750i −0.669309 0.742984i \(-0.733410\pi\)
0.742984 + 0.669309i \(0.233410\pi\)
\(632\) 0.00814535 0.0303989i 0.000324005 0.00120920i
\(633\) −14.2693 19.7128i −0.567155 0.783515i
\(634\) 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
\(639\) −16.3662 32.4017i −0.647437 1.28179i
\(640\) 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 \(-0.0649021\pi\)
\(642\) −11.5143 9.35770i −0.454435 0.369319i
\(643\) −2.15687 2.15687i −0.0850587 0.0850587i 0.663297 0.748356i \(-0.269157\pi\)
−0.748356 + 0.663297i \(0.769157\pi\)
\(644\) −0.594141 1.57766i −0.0234124 0.0621685i
\(645\) −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 \(0.859253\pi\)
\(648\) −1.34535 8.89888i −0.0528504 0.349581i
\(649\) 5.15064 2.97372i 0.202180 0.116729i
\(650\) −13.3613 + 5.99260i −0.524073 + 0.235049i
\(651\) 10.8545 + 3.62441i 0.425422 + 0.142052i
\(652\) −7.21523 7.21523i −0.282570 0.282570i
\(653\) 11.1683 6.44801i 0.437049 0.252330i −0.265296 0.964167i \(-0.585470\pi\)
0.702345 + 0.711837i \(0.252136\pi\)
\(654\) −0.986454 1.36277i −0.0385734 0.0532886i
\(655\) −3.81919 + 1.02335i −0.149228 + 0.0399855i
\(656\) −0.0661403 0.0177222i −0.00258234 0.000691937i
\(657\) −39.6059 2.21536i −1.54517 0.0864293i
\(658\) −1.44351 + 8.75383i −0.0562738 + 0.341260i
\(659\) 39.5546i 1.54083i 0.637543 + 0.770415i \(0.279951\pi\)
−0.637543 + 0.770415i \(0.720049\pi\)
\(660\) 0.176742 + 1.71051i 0.00687965 + 0.0665816i
\(661\) −11.1046 41.4429i −0.431919 1.61194i −0.748333 0.663323i \(-0.769146\pi\)
0.316414 0.948621i \(-0.397521\pi\)
\(662\) 2.69901 4.67483i 0.104900 0.181692i
\(663\) −6.62824 + 24.8335i −0.257420 + 0.964452i
\(664\) −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
\(669\) 1.24042 7.74353i 0.0479573 0.299382i
\(670\) −1.57728 0.422630i −0.0609355 0.0163276i
\(671\) 0.860888 + 0.860888i 0.0332342 + 0.0332342i
\(672\) 1.45138 4.34666i 0.0559884 0.167676i
\(673\) 17.9661i 0.692541i −0.938135 0.346271i \(-0.887448\pi\)
0.938135 0.346271i \(-0.112552\pi\)
\(674\) 6.38338 23.8231i 0.245878 0.917631i
\(675\) −20.6191 4.49654i −0.793630 0.173072i
\(676\) −4.08468 12.3416i −0.157103 0.474677i
\(677\) 4.04856 2.33744i 0.155599 0.0898350i −0.420179 0.907441i \(-0.638033\pi\)
0.575778 + 0.817606i \(0.304699\pi\)
\(678\) 13.1689 5.02853i 0.505750 0.193119i
\(679\) −29.4562 13.3395i −1.13042 0.511923i
\(680\) −3.98737 −0.152909
\(681\) 24.2408 29.8275i 0.928909 1.14299i
\(682\) −2.47190 + 0.662345i −0.0946541 + 0.0253625i
\(683\) 49.3429 13.2214i 1.88805 0.505902i 0.889227 0.457466i \(-0.151243\pi\)
0.998826 0.0484369i \(-0.0154240\pi\)
\(684\) 3.74107 + 7.40654i 0.143043 + 0.283196i
\(685\) −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
\(689\) 22.1871 18.0673i 0.845262 0.688310i
\(690\) 0.866113 0.626944i 0.0329724 0.0238673i
\(691\) −3.35934 + 12.5372i −0.127795 + 0.476938i −0.999924 0.0123385i \(-0.996072\pi\)
0.872129 + 0.489277i \(0.162739\pi\)
\(692\) 5.03473i 0.191392i
\(693\) 2.43709 + 7.76031i 0.0925775 + 0.294790i
\(694\) 18.3677 + 18.3677i 0.697230 + 0.697230i
\(695\) 17.9246 + 4.80288i 0.679919 + 0.182184i
\(696\) −5.95628 0.954122i −0.225772 0.0361659i
\(697\) 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 \(-0.722951\pi\)
−0.644541 + 0.764570i \(0.722951\pi\)
\(702\) 5.83476 17.8032i 0.220219 0.671940i
\(703\) 4.00127 6.93040i 0.150911 0.261385i
\(704\) 0.265234 + 0.989868i 0.00999639 + 0.0373071i
\(705\) −5.59716 + 0.578336i −0.210801 + 0.0217814i
\(706\) 13.1830i 0.496149i
\(707\) 4.89156 29.6638i 0.183966 1.11562i
\(708\) −3.58585 9.39078i −0.134764 0.352927i
\(709\) 26.0559 + 6.98166i 0.978550 + 0.262202i 0.712434 0.701739i \(-0.247593\pi\)
0.266116 + 0.963941i \(0.414259\pi\)
\(710\) 11.3233 3.03407i 0.424956 0.113867i
\(711\) 0.0924190 0.0193048i 0.00346598 0.000723986i
\(712\) −5.58990 + 3.22733i −0.209490 + 0.120949i
\(713\) 1.12513 + 1.12513i 0.0421365 + 0.0421365i
\(714\) −18.4797 + 3.77165i −0.691587 + 0.141150i
\(715\) −1.27371 + 3.34540i −0.0476341 + 0.125111i
\(716\) −2.16277 + 1.24867i −0.0808263 + 0.0466651i
\(717\) −39.3217 6.29885i −1.46850 0.235235i
\(718\) 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
\(721\) −24.4126 + 29.7586i −0.909171 + 1.10827i
\(722\) 8.02547 + 8.02547i 0.298677 + 0.298677i
\(723\) −4.32872 + 5.32635i −0.160987 + 0.198089i
\(724\) −0.389043 + 0.673842i −0.0144587 + 0.0250432i
\(725\) −7.07234 + 12.2496i −0.262660 + 0.454940i
\(726\) 13.3739 + 10.8690i 0.496353 + 0.403386i
\(727\) 19.6490i 0.728740i 0.931254 + 0.364370i \(0.118716\pi\)
−0.931254 + 0.364370i \(0.881284\pi\)
\(728\) 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
\(732\) 1.66686 1.20658i 0.0616091 0.0445963i
\(733\) −2.63809 + 9.84548i −0.0974401 + 0.363651i −0.997378 0.0723665i \(-0.976945\pi\)
0.899938 + 0.436018i \(0.143612\pi\)
\(734\) −10.5572 + 10.5572i −0.389674 + 0.389674i
\(735\) 10.3877 + 5.48341i 0.383157 + 0.202259i
\(736\) 0.450556 0.450556i 0.0166077 0.0166077i
\(737\) 1.49586 0.863633i 0.0551006 0.0318123i
\(738\) −0.0420024 0.201080i −0.00154613 0.00740187i
\(739\) −6.99720 26.1139i −0.257396 0.960616i −0.966742 0.255755i \(-0.917676\pi\)
0.709345 0.704861i \(-0.248991\pi\)
\(740\) −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 −0.247965 0.968769i \(-0.579762\pi\)
0.968769 + 0.247965i \(0.0797618\pi\)
\(744\) 0.444551 + 4.30238i 0.0162980 + 0.157733i
\(745\) −17.1505 9.90187i −0.628347 0.362776i
\(746\) −5.59532 20.8820i −0.204859 0.764545i
\(747\) −11.5977 22.9610i −0.424337 0.840100i
\(748\) 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 0.155859 0.987779i \(-0.450185\pi\)
0.933371 + 0.358912i \(0.116852\pi\)
\(752\) −3.23906 + 0.867903i −0.118116 + 0.0316492i
\(753\) 25.9186 + 35.8061i 0.944526 + 1.30485i
\(754\) −10.1790 7.35309i −0.370697 0.267784i
\(755\) 0.159921i 0.00582012i
\(756\) 13.6026 1.99262i 0.494720 0.0724710i
\(757\) 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
\(759\) −0.178890 + 1.11675i −0.00649328 + 0.0405355i
\(760\) −2.58833 + 0.693542i −0.0938887 + 0.0251574i
\(761\) 12.8087 47.8027i 0.464314 1.73284i −0.194838 0.980835i \(-0.562418\pi\)
0.659152 0.752009i \(-0.270915\pi\)
\(762\) 32.7018 12.4871i 1.18466 0.452361i
\(763\) 2.08856 1.49726i 0.0756111 0.0542045i
\(764\) −20.7922 −0.752234
\(765\) −5.39316 10.6773i −0.194990 0.386040i
\(766\) −24.9262 14.3912i −0.900621 0.519974i
\(767\) 2.13044 20.8164i 0.0769258 0.751637i
\(768\) 1.72288 0.178019i 0.0621690 0.00642372i
\(769\) 16.7245 + 16.7245i 0.603100 + 0.603100i 0.941134 0.338034i \(-0.109762\pi\)
−0.338034 + 0.941134i \(0.609762\pi\)
\(770\) −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 \(-0.142303\pi\)
−0.997072 +