Properties

Label 690.2.w.b.37.2
Level $690$
Weight $2$
Character 690.37
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 37.2
Character \(\chi\) \(=\) 690.37
Dual form 690.2.w.b.373.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.877679 - 0.479249i) q^{2} +(0.997452 + 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(-1.79792 - 1.32947i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(-1.02771 - 2.75539i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +O(q^{10})\) \(q+(-0.877679 - 0.479249i) q^{2} +(0.997452 + 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(-1.79792 - 1.32947i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(-1.02771 - 2.75539i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +(0.940853 + 2.02850i) q^{10} +(-1.17675 + 4.00765i) q^{11} +(0.479249 + 0.877679i) q^{12} +(-4.57156 - 1.70510i) q^{13} +(-0.418521 + 2.91087i) q^{14} +(-1.69850 - 1.45434i) q^{15} +(-0.415415 + 0.909632i) q^{16} +(-1.91967 + 0.417599i) q^{17} +(-0.800541 - 0.599278i) q^{18} +(0.950931 - 0.611126i) q^{19} +(0.146387 - 2.23127i) q^{20} +(-0.828521 - 2.82168i) q^{21} +(2.95347 - 2.95347i) q^{22} +(-2.58957 + 4.03660i) q^{23} -1.00000i q^{24} +(1.46504 + 4.78055i) q^{25} +(3.19519 + 3.68745i) q^{26} +(0.977147 + 0.212565i) q^{27} +(1.76236 - 2.35424i) q^{28} +(-4.99066 + 7.76561i) q^{29} +(0.793745 + 2.09045i) q^{30} +(2.20533 - 2.54509i) q^{31} +(0.800541 - 0.599278i) q^{32} +(-1.45966 + 3.91349i) q^{33} +(1.88499 + 0.553483i) q^{34} +(-1.81546 + 6.32027i) q^{35} +(0.415415 + 0.909632i) q^{36} +(-3.32516 - 4.44190i) q^{37} +(-1.12749 + 0.0806399i) q^{38} +(-4.43827 - 2.02689i) q^{39} +(-1.19782 + 1.88818i) q^{40} +(-0.269866 - 1.87696i) q^{41} +(-0.625114 + 2.87360i) q^{42} +(-0.294497 + 4.11761i) q^{43} +(-4.00765 + 1.17675i) q^{44} +(-1.59042 - 1.57180i) q^{45} +(4.20734 - 2.30179i) q^{46} +(-8.11925 - 8.11925i) q^{47} +(-0.479249 + 0.877679i) q^{48} +(-1.24574 + 1.07944i) q^{49} +(1.00523 - 4.89791i) q^{50} +(-1.94457 + 0.279587i) q^{51} +(-1.03715 - 4.76769i) q^{52} +(4.17430 - 1.55693i) q^{53} +(-0.755750 - 0.654861i) q^{54} +(7.44373 - 5.64099i) q^{55} +(-2.67505 + 1.22166i) q^{56} +(0.992105 - 0.541730i) q^{57} +(8.10186 - 4.42395i) q^{58} +(-7.54255 + 3.44457i) q^{59} +(0.305191 - 2.21514i) q^{60} +(-10.3951 - 9.00741i) q^{61} +(-3.15530 + 1.17687i) q^{62} +(-0.625114 - 2.87360i) q^{63} +(-0.989821 + 0.142315i) q^{64} +(5.95243 + 9.14337i) q^{65} +(3.15664 - 2.73525i) q^{66} +(0.147025 - 0.269256i) q^{67} +(-1.38916 - 1.38916i) q^{68} +(-2.87094 + 3.84158i) q^{69} +(4.62237 - 4.67712i) q^{70} +(6.05430 - 1.77770i) q^{71} +(0.0713392 - 0.997452i) q^{72} +(-1.99970 + 9.19248i) q^{73} +(0.789651 + 5.49214i) q^{74} +(1.12027 + 4.87288i) q^{75} +(1.02822 + 0.469574i) q^{76} +(12.2520 - 0.876279i) q^{77} +(2.92399 + 3.90600i) q^{78} +(0.0175589 + 0.0384486i) q^{79} +(1.95621 - 1.08317i) q^{80} +(0.959493 + 0.281733i) q^{81} +(-0.662674 + 1.77670i) q^{82} +(-2.25806 + 1.69037i) q^{83} +(1.92582 - 2.22251i) q^{84} +(4.00661 + 1.80133i) q^{85} +(2.23183 - 3.47280i) q^{86} +(-5.53193 + 7.38980i) q^{87} +(4.08138 + 0.887851i) q^{88} +(-10.1062 - 11.6632i) q^{89} +(0.642592 + 2.14175i) q^{90} +14.3488i q^{91} +(-4.79583 + 0.00386944i) q^{92} +(2.38128 - 2.38128i) q^{93} +(3.23495 + 11.0172i) q^{94} +(-2.52217 - 0.165472i) q^{95} +(0.841254 - 0.540641i) q^{96} +(-0.531048 - 0.397538i) q^{97} +(1.61068 - 0.350381i) q^{98} +(-1.73512 + 3.79939i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{21}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.877679 0.479249i −0.620613 0.338880i
\(3\) 0.997452 + 0.0713392i 0.575879 + 0.0411877i
\(4\) 0.540641 + 0.841254i 0.270320 + 0.420627i
\(5\) −1.79792 1.32947i −0.804055 0.594555i
\(6\) −0.841254 0.540641i −0.343440 0.220716i
\(7\) −1.02771 2.75539i −0.388437 1.04144i −0.973145 0.230195i \(-0.926064\pi\)
0.584708 0.811244i \(-0.301209\pi\)
\(8\) −0.0713392 0.997452i −0.0252222 0.352653i
\(9\) 0.989821 + 0.142315i 0.329940 + 0.0474383i
\(10\) 0.940853 + 2.02850i 0.297524 + 0.641467i
\(11\) −1.17675 + 4.00765i −0.354804 + 1.20835i 0.567983 + 0.823040i \(0.307724\pi\)
−0.922787 + 0.385311i \(0.874094\pi\)
\(12\) 0.479249 + 0.877679i 0.138347 + 0.253364i
\(13\) −4.57156 1.70510i −1.26792 0.472911i −0.376641 0.926360i \(-0.622921\pi\)
−0.891282 + 0.453449i \(0.850194\pi\)
\(14\) −0.418521 + 2.91087i −0.111854 + 0.777964i
\(15\) −1.69850 1.45434i −0.438550 0.375509i
\(16\) −0.415415 + 0.909632i −0.103854 + 0.227408i
\(17\) −1.91967 + 0.417599i −0.465589 + 0.101283i −0.439239 0.898370i \(-0.644752\pi\)
−0.0263498 + 0.999653i \(0.508388\pi\)
\(18\) −0.800541 0.599278i −0.188689 0.141251i
\(19\) 0.950931 0.611126i 0.218158 0.140202i −0.426998 0.904253i \(-0.640429\pi\)
0.645156 + 0.764051i \(0.276792\pi\)
\(20\) 0.146387 2.23127i 0.0327332 0.498927i
\(21\) −0.828521 2.82168i −0.180798 0.615742i
\(22\) 2.95347 2.95347i 0.629682 0.629682i
\(23\) −2.58957 + 4.03660i −0.539962 + 0.841689i
\(24\) 1.00000i 0.204124i
\(25\) 1.46504 + 4.78055i 0.293009 + 0.956110i
\(26\) 3.19519 + 3.68745i 0.626629 + 0.723168i
\(27\) 0.977147 + 0.212565i 0.188052 + 0.0409082i
\(28\) 1.76236 2.35424i 0.333055 0.444909i
\(29\) −4.99066 + 7.76561i −0.926742 + 1.44204i −0.0299668 + 0.999551i \(0.509540\pi\)
−0.896775 + 0.442487i \(0.854096\pi\)
\(30\) 0.793745 + 2.09045i 0.144917 + 0.381662i
\(31\) 2.20533 2.54509i 0.396089 0.457111i −0.522316 0.852752i \(-0.674932\pi\)
0.918405 + 0.395641i \(0.129477\pi\)
\(32\) 0.800541 0.599278i 0.141517 0.105938i
\(33\) −1.45966 + 3.91349i −0.254093 + 0.681251i
\(34\) 1.88499 + 0.553483i 0.323273 + 0.0949216i
\(35\) −1.81546 + 6.32027i −0.306868 + 1.06832i
\(36\) 0.415415 + 0.909632i 0.0692358 + 0.151605i
\(37\) −3.32516 4.44190i −0.546654 0.730244i 0.439100 0.898438i \(-0.355297\pi\)
−0.985754 + 0.168194i \(0.946206\pi\)
\(38\) −1.12749 + 0.0806399i −0.182904 + 0.0130815i
\(39\) −4.43827 2.02689i −0.710692 0.324562i
\(40\) −1.19782 + 1.88818i −0.189391 + 0.298548i
\(41\) −0.269866 1.87696i −0.0421459 0.293131i −0.999983 0.00581961i \(-0.998148\pi\)
0.957837 0.287312i \(-0.0927615\pi\)
\(42\) −0.625114 + 2.87360i −0.0964571 + 0.443406i
\(43\) −0.294497 + 4.11761i −0.0449104 + 0.627929i 0.924296 + 0.381677i \(0.124653\pi\)
−0.969206 + 0.246252i \(0.920801\pi\)
\(44\) −4.00765 + 1.17675i −0.604175 + 0.177402i
\(45\) −1.59042 1.57180i −0.237086 0.234311i
\(46\) 4.20734 2.30179i 0.620339 0.339381i
\(47\) −8.11925 8.11925i −1.18432 1.18432i −0.978615 0.205700i \(-0.934053\pi\)
−0.205700 0.978615i \(-0.565947\pi\)
\(48\) −0.479249 + 0.877679i −0.0691736 + 0.126682i
\(49\) −1.24574 + 1.07944i −0.177963 + 0.154205i
\(50\) 1.00523 4.89791i 0.142162 0.692669i
\(51\) −1.94457 + 0.279587i −0.272295 + 0.0391501i
\(52\) −1.03715 4.76769i −0.143826 0.661160i
\(53\) 4.17430 1.55693i 0.573384 0.213861i −0.0460107 0.998941i \(-0.514651\pi\)
0.619395 + 0.785080i \(0.287378\pi\)
\(54\) −0.755750 0.654861i −0.102844 0.0891153i
\(55\) 7.44373 5.64099i 1.00371 0.760630i
\(56\) −2.67505 + 1.22166i −0.357469 + 0.163251i
\(57\) 0.992105 0.541730i 0.131408 0.0717539i
\(58\) 8.10186 4.42395i 1.06383 0.580893i
\(59\) −7.54255 + 3.44457i −0.981957 + 0.448445i −0.840684 0.541526i \(-0.817847\pi\)
−0.141273 + 0.989971i \(0.545119\pi\)
\(60\) 0.305191 2.21514i 0.0394000 0.285974i
\(61\) −10.3951 9.00741i −1.33096 1.15328i −0.975847 0.218456i \(-0.929898\pi\)
−0.355110 0.934824i \(-0.615557\pi\)
\(62\) −3.15530 + 1.17687i −0.400724 + 0.149462i
\(63\) −0.625114 2.87360i −0.0787569 0.362040i
\(64\) −0.989821 + 0.142315i −0.123728 + 0.0177894i
\(65\) 5.95243 + 9.14337i 0.738308 + 1.13410i
\(66\) 3.15664 2.73525i 0.388556 0.336686i
\(67\) 0.147025 0.269256i 0.0179619 0.0328948i −0.868544 0.495612i \(-0.834944\pi\)
0.886506 + 0.462717i \(0.153126\pi\)
\(68\) −1.38916 1.38916i −0.168460 0.168460i
\(69\) −2.87094 + 3.84158i −0.345620 + 0.462472i
\(70\) 4.62237 4.67712i 0.552479 0.559022i
\(71\) 6.05430 1.77770i 0.718513 0.210974i 0.0980177 0.995185i \(-0.468750\pi\)
0.620495 + 0.784210i \(0.286932\pi\)
\(72\) 0.0713392 0.997452i 0.00840740 0.117551i
\(73\) −1.99970 + 9.19248i −0.234047 + 1.07590i 0.698713 + 0.715402i \(0.253756\pi\)
−0.932760 + 0.360497i \(0.882607\pi\)
\(74\) 0.789651 + 5.49214i 0.0917951 + 0.638449i
\(75\) 1.12027 + 4.87288i 0.129358 + 0.562672i
\(76\) 1.02822 + 0.469574i 0.117945 + 0.0538639i
\(77\) 12.2520 0.876279i 1.39624 0.0998612i
\(78\) 2.92399 + 3.90600i 0.331077 + 0.442267i
\(79\) 0.0175589 + 0.0384486i 0.00197553 + 0.00432581i 0.910617 0.413251i \(-0.135607\pi\)
−0.908642 + 0.417577i \(0.862879\pi\)
\(80\) 1.95621 1.08317i 0.218711 0.121102i
\(81\) 0.959493 + 0.281733i 0.106610 + 0.0313036i
\(82\) −0.662674 + 1.77670i −0.0731801 + 0.196203i
\(83\) −2.25806 + 1.69037i −0.247855 + 0.185542i −0.715981 0.698120i \(-0.754020\pi\)
0.468126 + 0.883662i \(0.344929\pi\)
\(84\) 1.92582 2.22251i 0.210124 0.242496i
\(85\) 4.00661 + 1.80133i 0.434577 + 0.195381i
\(86\) 2.23183 3.47280i 0.240665 0.374481i
\(87\) −5.53193 + 7.38980i −0.593085 + 0.792269i
\(88\) 4.08138 + 0.887851i 0.435077 + 0.0946452i
\(89\) −10.1062 11.6632i −1.07125 1.23629i −0.970429 0.241388i \(-0.922397\pi\)
−0.100824 0.994904i \(-0.532148\pi\)
\(90\) 0.642592 + 2.14175i 0.0677351 + 0.225760i
\(91\) 14.3488i 1.50416i
\(92\) −4.79583 + 0.00386944i −0.500000 + 0.000403417i
\(93\) 2.38128 2.38128i 0.246927 0.246927i
\(94\) 3.23495 + 11.0172i 0.333660 + 1.13634i
\(95\) −2.52217 0.165472i −0.258769 0.0169771i
\(96\) 0.841254 0.540641i 0.0858601 0.0551789i
\(97\) −0.531048 0.397538i −0.0539198 0.0403638i 0.571978 0.820269i \(-0.306176\pi\)
−0.625898 + 0.779905i \(0.715267\pi\)
\(98\) 1.61068 0.350381i 0.162703 0.0353939i
\(99\) −1.73512 + 3.79939i −0.174386 + 0.381853i
\(100\) −3.22959 + 3.81703i −0.322959 + 0.381703i
\(101\) −1.16365 + 8.09333i −0.115787 + 0.805316i 0.846326 + 0.532665i \(0.178810\pi\)
−0.962113 + 0.272651i \(0.912100\pi\)
\(102\) 1.84070 + 0.686547i 0.182257 + 0.0679783i
\(103\) −1.02696 1.88073i −0.101189 0.185314i 0.822180 0.569228i \(-0.192758\pi\)
−0.923369 + 0.383914i \(0.874576\pi\)
\(104\) −1.37463 + 4.68155i −0.134793 + 0.459064i
\(105\) −2.26171 + 6.17466i −0.220721 + 0.602585i
\(106\) −4.40985 0.634041i −0.428323 0.0615835i
\(107\) −1.45688 20.3698i −0.140842 1.96922i −0.229957 0.973201i \(-0.573859\pi\)
0.0891159 0.996021i \(-0.471596\pi\)
\(108\) 0.349464 + 0.936950i 0.0336272 + 0.0901580i
\(109\) 6.00915 + 3.86185i 0.575573 + 0.369898i 0.795808 0.605549i \(-0.207046\pi\)
−0.220236 + 0.975447i \(0.570683\pi\)
\(110\) −9.23664 + 1.38357i −0.880680 + 0.131918i
\(111\) −2.99981 4.66780i −0.284729 0.443048i
\(112\) 2.93331 + 0.209795i 0.277172 + 0.0198237i
\(113\) 5.81183 + 3.17350i 0.546731 + 0.298538i 0.728776 0.684753i \(-0.240090\pi\)
−0.182045 + 0.983290i \(0.558272\pi\)
\(114\) −1.13037 −0.105869
\(115\) 10.0224 3.81475i 0.934590 0.355728i
\(116\) −9.23100 −0.857077
\(117\) −4.28237 2.33835i −0.395905 0.216180i
\(118\) 8.27075 + 0.591535i 0.761384 + 0.0544552i
\(119\) 3.12351 + 4.86028i 0.286332 + 0.445541i
\(120\) −1.32947 + 1.79792i −0.121363 + 0.164127i
\(121\) −5.42270 3.48496i −0.492973 0.316814i
\(122\) 4.80677 + 12.8875i 0.435185 + 1.16678i
\(123\) −0.135277 1.89143i −0.0121976 0.170544i
\(124\) 3.33336 + 0.479264i 0.299344 + 0.0430392i
\(125\) 3.72154 10.5428i 0.332864 0.942975i
\(126\) −0.828521 + 2.82168i −0.0738105 + 0.251376i
\(127\) 0.339447 + 0.621652i 0.0301211 + 0.0551627i 0.892306 0.451431i \(-0.149086\pi\)
−0.862185 + 0.506594i \(0.830904\pi\)
\(128\) 0.936950 + 0.349464i 0.0828154 + 0.0308886i
\(129\) −0.587493 + 4.08610i −0.0517259 + 0.359761i
\(130\) −0.842372 10.8776i −0.0738809 0.954033i
\(131\) −6.95284 + 15.2246i −0.607473 + 1.33018i 0.316816 + 0.948487i \(0.397386\pi\)
−0.924289 + 0.381693i \(0.875341\pi\)
\(132\) −4.08138 + 0.887851i −0.355239 + 0.0772775i
\(133\) −2.66117 1.99213i −0.230753 0.172739i
\(134\) −0.258081 + 0.165859i −0.0222948 + 0.0143280i
\(135\) −1.47424 1.68126i −0.126882 0.144700i
\(136\) 0.553483 + 1.88499i 0.0474608 + 0.161637i
\(137\) 11.1412 11.1412i 0.951854 0.951854i −0.0470390 0.998893i \(-0.514978\pi\)
0.998893 + 0.0470390i \(0.0149785\pi\)
\(138\) 4.36083 1.99578i 0.371219 0.169892i
\(139\) 8.61901i 0.731055i −0.930801 0.365527i \(-0.880889\pi\)
0.930801 0.365527i \(-0.119111\pi\)
\(140\) −6.29846 + 1.88974i −0.532317 + 0.159712i
\(141\) −7.51935 8.67779i −0.633243 0.730802i
\(142\) −6.16569 1.34126i −0.517413 0.112556i
\(143\) 12.2130 16.3147i 1.02131 1.36431i
\(144\) −0.540641 + 0.841254i −0.0450534 + 0.0701045i
\(145\) 19.2969 7.32706i 1.60252 0.608479i
\(146\) 6.16058 7.10969i 0.509854 0.588402i
\(147\) −1.31957 + 0.987818i −0.108836 + 0.0814738i
\(148\) 1.93904 5.19878i 0.159388 0.427337i
\(149\) 8.27578 + 2.42999i 0.677978 + 0.199072i 0.602553 0.798079i \(-0.294150\pi\)
0.0754254 + 0.997151i \(0.475969\pi\)
\(150\) 1.35209 4.81372i 0.110397 0.393038i
\(151\) 2.62546 + 5.74895i 0.213657 + 0.467843i 0.985868 0.167523i \(-0.0535767\pi\)
−0.772211 + 0.635366i \(0.780849\pi\)
\(152\) −0.677408 0.904911i −0.0549450 0.0733979i
\(153\) −1.95956 + 0.140151i −0.158421 + 0.0113305i
\(154\) −11.1733 5.10266i −0.900367 0.411184i
\(155\) −7.34862 + 1.64396i −0.590255 + 0.132046i
\(156\) −0.694382 4.82953i −0.0555950 0.386672i
\(157\) 1.63007 7.49330i 0.130094 0.598030i −0.865225 0.501383i \(-0.832825\pi\)
0.995319 0.0966469i \(-0.0308118\pi\)
\(158\) 0.00301539 0.0421606i 0.000239891 0.00335412i
\(159\) 4.27473 1.25517i 0.339008 0.0995418i
\(160\) −2.23603 + 0.0131626i −0.176774 + 0.00104060i
\(161\) 13.7837 + 2.98682i 1.08631 + 0.235394i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) 8.77805 16.0758i 0.687550 1.25915i −0.267742 0.963491i \(-0.586277\pi\)
0.955292 0.295663i \(-0.0955407\pi\)
\(164\) 1.43310 1.24178i 0.111906 0.0969671i
\(165\) 7.82719 5.09558i 0.609346 0.396691i
\(166\) 2.79196 0.401423i 0.216698 0.0311565i
\(167\) −3.42387 15.7393i −0.264947 1.21794i −0.896653 0.442733i \(-0.854009\pi\)
0.631706 0.775208i \(-0.282355\pi\)
\(168\) −2.75539 + 1.02771i −0.212583 + 0.0792893i
\(169\) 8.16705 + 7.07678i 0.628234 + 0.544368i
\(170\) −2.65323 3.50115i −0.203493 0.268526i
\(171\) 1.02822 0.469574i 0.0786303 0.0359092i
\(172\) −3.62317 + 1.97840i −0.276264 + 0.150851i
\(173\) −13.0676 + 7.13546i −0.993512 + 0.542499i −0.891855 0.452321i \(-0.850596\pi\)
−0.101657 + 0.994820i \(0.532414\pi\)
\(174\) 8.39681 3.83470i 0.636561 0.290708i
\(175\) 11.6666 8.94977i 0.881914 0.676539i
\(176\) −3.15664 2.73525i −0.237941 0.206177i
\(177\) −7.76907 + 2.89771i −0.583959 + 0.217805i
\(178\) 3.28043 + 15.0799i 0.245878 + 1.13028i
\(179\) 22.3125 3.20805i 1.66771 0.239781i 0.757178 0.653209i \(-0.226578\pi\)
0.910537 + 0.413428i \(0.135669\pi\)
\(180\) 0.462440 2.18773i 0.0344683 0.163064i
\(181\) −2.75976 + 2.39134i −0.205131 + 0.177747i −0.751368 0.659884i \(-0.770605\pi\)
0.546236 + 0.837631i \(0.316060\pi\)
\(182\) 6.87664 12.5936i 0.509730 0.933501i
\(183\) −9.72604 9.72604i −0.718969 0.718969i
\(184\) 4.21105 + 2.29500i 0.310443 + 0.169190i
\(185\) 0.0730345 + 12.4069i 0.00536960 + 0.912172i
\(186\) −3.23122 + 0.948772i −0.236925 + 0.0695673i
\(187\) 0.585387 8.18478i 0.0428078 0.598531i
\(188\) 2.44075 11.2200i 0.178010 0.818299i
\(189\) −0.418521 2.91087i −0.0304429 0.211735i
\(190\) 2.13435 + 1.35398i 0.154842 + 0.0982280i
\(191\) −6.69034 3.05538i −0.484096 0.221079i 0.158390 0.987377i \(-0.449370\pi\)
−0.642486 + 0.766297i \(0.722097\pi\)
\(192\) −0.997452 + 0.0713392i −0.0719849 + 0.00514846i
\(193\) 10.5340 + 14.0717i 0.758251 + 1.01290i 0.999103 + 0.0423431i \(0.0134822\pi\)
−0.240852 + 0.970562i \(0.577427\pi\)
\(194\) 0.275570 + 0.603415i 0.0197848 + 0.0433226i
\(195\) 5.28499 + 9.54472i 0.378466 + 0.683512i
\(196\) −1.58158 0.464393i −0.112970 0.0331709i
\(197\) −5.95498 + 15.9659i −0.424275 + 1.13752i 0.532433 + 0.846472i \(0.321278\pi\)
−0.956707 + 0.291052i \(0.905995\pi\)
\(198\) 3.34373 2.50309i 0.237629 0.177887i
\(199\) 9.96179 11.4965i 0.706173 0.814967i −0.283400 0.959002i \(-0.591462\pi\)
0.989573 + 0.144035i \(0.0460079\pi\)
\(200\) 4.66385 1.80235i 0.329784 0.127446i
\(201\) 0.165859 0.258081i 0.0116988 0.0182036i
\(202\) 4.90003 6.54567i 0.344765 0.460552i
\(203\) 26.5262 + 5.77042i 1.86178 + 0.405004i
\(204\) −1.28652 1.48472i −0.0900744 0.103951i
\(205\) −2.01015 + 3.73340i −0.140395 + 0.260752i
\(206\) 2.14285i 0.149299i
\(207\) −3.13768 + 3.62698i −0.218084 + 0.252093i
\(208\) 3.45011 3.45011i 0.239222 0.239222i
\(209\) 1.33017 + 4.53014i 0.0920097 + 0.313356i
\(210\) 4.94426 4.33544i 0.341186 0.299174i
\(211\) −15.3518 + 9.86601i −1.05686 + 0.679204i −0.949101 0.314973i \(-0.898005\pi\)
−0.107761 + 0.994177i \(0.534368\pi\)
\(212\) 3.56657 + 2.66990i 0.244953 + 0.183370i
\(213\) 6.16569 1.34126i 0.422466 0.0919019i
\(214\) −8.48353 + 18.5763i −0.579922 + 1.26985i
\(215\) 6.00370 7.01161i 0.409449 0.478188i
\(216\) 0.142315 0.989821i 0.00968330 0.0673488i
\(217\) −9.27914 3.46094i −0.629909 0.234944i
\(218\) −3.42332 6.26934i −0.231857 0.424614i
\(219\) −2.65039 + 9.02640i −0.179097 + 0.609948i
\(220\) 8.76988 + 3.21232i 0.591265 + 0.216575i
\(221\) 9.48795 + 1.36416i 0.638229 + 0.0917635i
\(222\) 0.395834 + 5.53448i 0.0265666 + 0.371450i
\(223\) −5.05509 13.5532i −0.338514 0.907592i −0.988979 0.148055i \(-0.952699\pi\)
0.650465 0.759536i \(-0.274574\pi\)
\(224\) −2.47396 1.58992i −0.165299 0.106231i
\(225\) 0.769790 + 4.94039i 0.0513193 + 0.329359i
\(226\) −3.58002 5.57062i −0.238140 0.370552i
\(227\) −19.5042 1.39497i −1.29454 0.0925873i −0.592991 0.805209i \(-0.702053\pi\)
−0.701549 + 0.712622i \(0.747508\pi\)
\(228\) 0.992105 + 0.541730i 0.0657038 + 0.0358770i
\(229\) −14.2367 −0.940787 −0.470394 0.882457i \(-0.655888\pi\)
−0.470394 + 0.882457i \(0.655888\pi\)
\(230\) −10.6246 1.45508i −0.700567 0.0959448i
\(231\) 12.2833 0.808180
\(232\) 8.10186 + 4.42395i 0.531913 + 0.290446i
\(233\) 14.4386 + 1.03267i 0.945903 + 0.0676523i 0.535761 0.844370i \(-0.320025\pi\)
0.410142 + 0.912022i \(0.365479\pi\)
\(234\) 2.63789 + 4.10464i 0.172444 + 0.268329i
\(235\) 3.80352 + 25.3921i 0.248114 + 1.65639i
\(236\) −6.97557 4.48292i −0.454071 0.291814i
\(237\) 0.0147713 + 0.0396033i 0.000959497 + 0.00257251i
\(238\) −0.412157 5.76270i −0.0267161 0.373540i
\(239\) −19.8725 2.85723i −1.28544 0.184819i −0.534491 0.845174i \(-0.679497\pi\)
−0.750954 + 0.660355i \(0.770406\pi\)
\(240\) 2.02850 0.940853i 0.130939 0.0607318i
\(241\) 8.08122 27.5221i 0.520557 1.77285i −0.106973 0.994262i \(-0.534116\pi\)
0.627530 0.778592i \(-0.284066\pi\)
\(242\) 3.08923 + 5.65750i 0.198583 + 0.363678i
\(243\) 0.936950 + 0.349464i 0.0601054 + 0.0224181i
\(244\) 1.95750 13.6147i 0.125316 0.871591i
\(245\) 3.67481 0.284580i 0.234775 0.0181811i
\(246\) −0.787734 + 1.72490i −0.0502241 + 0.109975i
\(247\) −5.38927 + 1.17236i −0.342911 + 0.0745958i
\(248\) −2.69593 2.01815i −0.171192 0.128152i
\(249\) −2.37290 + 1.52497i −0.150376 + 0.0966411i
\(250\) −8.31893 + 7.46963i −0.526135 + 0.472421i
\(251\) −7.60012 25.8836i −0.479716 1.63376i −0.743180 0.669092i \(-0.766683\pi\)
0.263464 0.964669i \(-0.415135\pi\)
\(252\) 2.07946 2.07946i 0.130994 0.130994i
\(253\) −13.1300 15.1281i −0.825476 0.951098i
\(254\) 0.708290i 0.0444421i
\(255\) 3.86789 + 2.08257i 0.242217 + 0.130415i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 15.1402 + 3.29355i 0.944420 + 0.205446i 0.658307 0.752750i \(-0.271273\pi\)
0.286114 + 0.958196i \(0.407637\pi\)
\(258\) 2.47389 3.30473i 0.154018 0.205744i
\(259\) −8.82186 + 13.7271i −0.548164 + 0.852960i
\(260\) −4.47377 + 9.95079i −0.277451 + 0.617122i
\(261\) −6.04502 + 6.97633i −0.374177 + 0.431824i
\(262\) 13.3987 10.0302i 0.827777 0.619666i
\(263\) 3.71154 9.95103i 0.228864 0.613607i −0.770863 0.637001i \(-0.780175\pi\)
0.999726 + 0.0233944i \(0.00744734\pi\)
\(264\) 4.00765 + 1.17675i 0.246654 + 0.0724240i
\(265\) −9.57495 2.75034i −0.588185 0.168952i
\(266\) 1.38093 + 3.02381i 0.0846701 + 0.185402i
\(267\) −9.24839 12.3544i −0.565992 0.756077i
\(268\) 0.306000 0.0218856i 0.0186919 0.00133687i
\(269\) 0.941270 + 0.429863i 0.0573902 + 0.0262092i 0.443903 0.896075i \(-0.353593\pi\)
−0.386513 + 0.922284i \(0.626321\pi\)
\(270\) 0.488164 + 2.18213i 0.0297087 + 0.132800i
\(271\) 1.67158 + 11.6261i 0.101541 + 0.706235i 0.975462 + 0.220167i \(0.0706602\pi\)
−0.873921 + 0.486068i \(0.838431\pi\)
\(272\) 0.417599 1.91967i 0.0253207 0.116397i
\(273\) −1.02363 + 14.3122i −0.0619529 + 0.866215i
\(274\) −15.1178 + 4.43898i −0.913297 + 0.268168i
\(275\) −20.8827 + 0.245866i −1.25928 + 0.0148263i
\(276\) −4.78389 0.338271i −0.287956 0.0203615i
\(277\) 16.3457 + 16.3457i 0.982119 + 0.982119i 0.999843 0.0177239i \(-0.00564199\pi\)
−0.0177239 + 0.999843i \(0.505642\pi\)
\(278\) −4.13065 + 7.56472i −0.247740 + 0.453702i
\(279\) 2.54509 2.20533i 0.152370 0.132030i
\(280\) 6.43368 + 1.35995i 0.384486 + 0.0812724i
\(281\) 9.15255 1.31594i 0.545995 0.0785022i 0.136203 0.990681i \(-0.456510\pi\)
0.409793 + 0.912179i \(0.365601\pi\)
\(282\) 2.44075 + 11.2200i 0.145345 + 0.668138i
\(283\) −22.0328 + 8.21782i −1.30972 + 0.488499i −0.904793 0.425852i \(-0.859974\pi\)
−0.404923 + 0.914351i \(0.632702\pi\)
\(284\) 4.76870 + 4.13210i 0.282970 + 0.245195i
\(285\) −2.50394 0.344980i −0.148321 0.0204349i
\(286\) −18.5379 + 8.46600i −1.09617 + 0.500605i
\(287\) −4.89440 + 2.67254i −0.288907 + 0.157755i
\(288\) 0.877679 0.479249i 0.0517177 0.0282400i
\(289\) −11.9530 + 5.45875i −0.703117 + 0.321103i
\(290\) −20.4480 2.81722i −1.20075 0.165433i
\(291\) −0.501335 0.434409i −0.0293888 0.0254655i
\(292\) −8.81433 + 3.28757i −0.515820 + 0.192391i
\(293\) 3.63437 + 16.7069i 0.212322 + 0.976030i 0.952717 + 0.303858i \(0.0982748\pi\)
−0.740395 + 0.672172i \(0.765362\pi\)
\(294\) 1.63157 0.234584i 0.0951551 0.0136812i
\(295\) 18.1404 + 3.83450i 1.05617 + 0.223253i
\(296\) −4.19337 + 3.63357i −0.243735 + 0.211197i
\(297\) −2.00175 + 3.66592i −0.116153 + 0.212718i
\(298\) −6.09891 6.09891i −0.353300 0.353300i
\(299\) 18.7212 14.0381i 1.08267 0.811844i
\(300\) −3.49367 + 3.57691i −0.201707 + 0.206513i
\(301\) 11.6483 3.42024i 0.671394 0.197139i
\(302\) 0.450870 6.30398i 0.0259446 0.362753i
\(303\) −1.73805 + 7.98969i −0.0998485 + 0.458996i
\(304\) 0.160869 + 1.11887i 0.00922647 + 0.0641715i
\(305\) 6.71455 + 30.0145i 0.384474 + 1.71863i
\(306\) 1.78704 + 0.816112i 0.102158 + 0.0466540i
\(307\) 11.3045 0.808513i 0.645181 0.0461443i 0.255085 0.966919i \(-0.417896\pi\)
0.390096 + 0.920774i \(0.372442\pi\)
\(308\) 7.36109 + 9.83327i 0.419437 + 0.560302i
\(309\) −0.890171 1.94920i −0.0506401 0.110886i
\(310\) 7.23759 + 2.07895i 0.411068 + 0.118076i
\(311\) −0.966571 0.283811i −0.0548092 0.0160934i 0.254213 0.967148i \(-0.418184\pi\)
−0.309022 + 0.951055i \(0.600002\pi\)
\(312\) −1.70510 + 4.57156i −0.0965325 + 0.258814i
\(313\) −11.5735 + 8.66383i −0.654174 + 0.489709i −0.874061 0.485817i \(-0.838522\pi\)
0.219887 + 0.975525i \(0.429431\pi\)
\(314\) −5.02183 + 5.79550i −0.283398 + 0.327059i
\(315\) −2.69645 + 5.99758i −0.151928 + 0.337925i
\(316\) −0.0228520 + 0.0355584i −0.00128552 + 0.00200032i
\(317\) 4.75034 6.34571i 0.266806 0.356411i −0.647052 0.762446i \(-0.723998\pi\)
0.913857 + 0.406036i \(0.133089\pi\)
\(318\) −4.35338 0.947021i −0.244126 0.0531063i
\(319\) −25.2491 29.1390i −1.41368 1.63147i
\(320\) 1.96882 + 1.06006i 0.110061 + 0.0592593i
\(321\) 20.4218i 1.13984i
\(322\) −10.6663 9.22730i −0.594407 0.514217i
\(323\) −1.57027 + 1.57027i −0.0873722 + 0.0873722i
\(324\) 0.281733 + 0.959493i 0.0156518 + 0.0533052i
\(325\) 1.45379 24.3526i 0.0806418 1.35084i
\(326\) −15.4086 + 9.90252i −0.853405 + 0.548450i
\(327\) 5.71834 + 4.28070i 0.316225 + 0.236723i
\(328\) −1.85292 + 0.403078i −0.102310 + 0.0222563i
\(329\) −14.0275 + 30.7159i −0.773360 + 1.69342i
\(330\) −9.31181 + 0.721113i −0.512598 + 0.0396959i
\(331\) −0.552413 + 3.84211i −0.0303633 + 0.211182i −0.999355 0.0359119i \(-0.988566\pi\)
0.968992 + 0.247094i \(0.0794755\pi\)
\(332\) −2.64283 0.985724i −0.145044 0.0540986i
\(333\) −2.65917 4.86991i −0.145722 0.266869i
\(334\) −4.53797 + 15.4549i −0.248307 + 0.845655i
\(335\) −0.622305 + 0.288637i −0.0340002 + 0.0157699i
\(336\) 2.91087 + 0.418521i 0.158801 + 0.0228322i
\(337\) 1.78694 + 24.9847i 0.0973409 + 1.36100i 0.777936 + 0.628344i \(0.216267\pi\)
−0.680595 + 0.732660i \(0.738278\pi\)
\(338\) −3.77650 10.1252i −0.205415 0.550738i
\(339\) 5.57062 + 3.58002i 0.302555 + 0.194440i
\(340\) 0.650761 + 4.34444i 0.0352925 + 0.235610i
\(341\) 7.60468 + 11.8331i 0.411817 + 0.640799i
\(342\) −1.12749 0.0806399i −0.0609679 0.00436051i
\(343\) −13.8131 7.54251i −0.745836 0.407257i
\(344\) 4.12812 0.222573
\(345\) 10.2690 3.09005i 0.552862 0.166363i
\(346\) 14.8888 0.800428
\(347\) −27.6067 15.0744i −1.48200 0.809235i −0.484167 0.874976i \(-0.660877\pi\)
−0.997837 + 0.0657402i \(0.979059\pi\)
\(348\) −9.20748 0.658532i −0.493573 0.0353010i
\(349\) 13.7531 + 21.4003i 0.736188 + 1.14553i 0.984249 + 0.176787i \(0.0565704\pi\)
−0.248061 + 0.968744i \(0.579793\pi\)
\(350\) −14.5287 + 2.26380i −0.776593 + 0.121005i
\(351\) −4.10464 2.63789i −0.219090 0.140800i
\(352\) 1.45966 + 3.91349i 0.0777999 + 0.208590i
\(353\) 1.42626 + 19.9418i 0.0759123 + 1.06139i 0.882510 + 0.470293i \(0.155852\pi\)
−0.806598 + 0.591100i \(0.798694\pi\)
\(354\) 8.20747 + 1.18006i 0.436222 + 0.0627193i
\(355\) −13.2485 4.85281i −0.703160 0.257560i
\(356\) 4.34786 14.8074i 0.230436 0.784793i
\(357\) 2.76882 + 5.07072i 0.146542 + 0.268371i
\(358\) −21.1207 7.87760i −1.11626 0.416344i
\(359\) −4.31376 + 30.0029i −0.227672 + 1.58349i 0.480206 + 0.877156i \(0.340562\pi\)
−0.707878 + 0.706335i \(0.750347\pi\)
\(360\) −1.45434 + 1.69850i −0.0766505 + 0.0895187i
\(361\) −7.36209 + 16.1207i −0.387478 + 0.848460i
\(362\) 3.56823 0.776221i 0.187542 0.0407973i
\(363\) −5.16027 3.86293i −0.270844 0.202751i
\(364\) −12.0710 + 7.75753i −0.632690 + 0.406605i
\(365\) 15.8164 13.8688i 0.827868 0.725928i
\(366\) 3.87515 + 13.1975i 0.202557 + 0.689846i
\(367\) −21.5218 + 21.5218i −1.12343 + 1.12343i −0.132205 + 0.991222i \(0.542206\pi\)
−0.991222 + 0.132205i \(0.957794\pi\)
\(368\) −2.59608 4.03242i −0.135330 0.210204i
\(369\) 1.89626i 0.0987152i
\(370\) 5.88188 10.9243i 0.305784 0.567925i
\(371\) −8.57991 9.90174i −0.445447 0.514073i
\(372\) 3.29067 + 0.715842i 0.170613 + 0.0371147i
\(373\) 0.971049 1.29717i 0.0502790 0.0671649i −0.774697 0.632333i \(-0.782098\pi\)
0.824976 + 0.565168i \(0.191189\pi\)
\(374\) −4.43633 + 6.90307i −0.229397 + 0.356949i
\(375\) 4.46417 10.2504i 0.230529 0.529330i
\(376\) −7.51935 + 8.67779i −0.387781 + 0.447523i
\(377\) 36.0563 26.9914i 1.85699 1.39013i
\(378\) −1.02771 + 2.75539i −0.0528595 + 0.141722i
\(379\) −4.08087 1.19825i −0.209620 0.0615500i 0.175237 0.984526i \(-0.443931\pi\)
−0.384857 + 0.922976i \(0.625749\pi\)
\(380\) −1.22438 2.21125i −0.0628096 0.113435i
\(381\) 0.294234 + 0.644284i 0.0150741 + 0.0330076i
\(382\) 4.40768 + 5.88798i 0.225517 + 0.301255i
\(383\) 1.66525 0.119101i 0.0850904 0.00608579i −0.0287290 0.999587i \(-0.509146\pi\)
0.113819 + 0.993501i \(0.463691\pi\)
\(384\) 0.909632 + 0.415415i 0.0464195 + 0.0211991i
\(385\) −23.1931 14.7131i −1.18203 0.749849i
\(386\) −2.50158 17.3988i −0.127327 0.885578i
\(387\) −0.877496 + 4.03378i −0.0446056 + 0.205049i
\(388\) 0.0473236 0.661671i 0.00240249 0.0335913i
\(389\) 7.07764 2.07818i 0.358851 0.105368i −0.0973375 0.995251i \(-0.531033\pi\)
0.456188 + 0.889883i \(0.349214\pi\)
\(390\) −0.0642231 10.9100i −0.00325206 0.552451i
\(391\) 3.28544 8.83036i 0.166152 0.446570i
\(392\) 1.16556 + 1.16556i 0.0588695 + 0.0588695i
\(393\) −8.02124 + 14.6898i −0.404618 + 0.741003i
\(394\) 12.8782 11.1590i 0.648795 0.562184i
\(395\) 0.0195466 0.0924716i 0.000983495 0.00465275i
\(396\) −4.13432 + 0.594426i −0.207758 + 0.0298710i
\(397\) 4.60543 + 21.1708i 0.231140 + 1.06253i 0.935675 + 0.352864i \(0.114792\pi\)
−0.704534 + 0.709670i \(0.748844\pi\)
\(398\) −14.2529 + 5.31607i −0.714436 + 0.266471i
\(399\) −2.51227 2.17690i −0.125771 0.108981i
\(400\) −4.95714 0.653260i −0.247857 0.0326630i
\(401\) −17.2820 + 7.89242i −0.863021 + 0.394129i −0.797209 0.603703i \(-0.793691\pi\)
−0.0658124 + 0.997832i \(0.520964\pi\)
\(402\) −0.269256 + 0.147025i −0.0134293 + 0.00733293i
\(403\) −14.4214 + 7.87470i −0.718383 + 0.392267i
\(404\) −7.43766 + 3.39666i −0.370037 + 0.168990i
\(405\) −1.35054 1.78215i −0.0671089 0.0885555i
\(406\) −20.5160 17.7772i −1.01819 0.882270i
\(407\) 21.7145 8.09907i 1.07635 0.401456i
\(408\) 0.417599 + 1.91967i 0.0206742 + 0.0950380i
\(409\) 16.6432 2.39293i 0.822954 0.118323i 0.282042 0.959402i \(-0.408988\pi\)
0.540912 + 0.841079i \(0.318079\pi\)
\(410\) 3.55349 2.31336i 0.175495 0.114249i
\(411\) 11.9076 10.3180i 0.587358 0.508948i
\(412\) 1.02696 1.88073i 0.0505946 0.0926571i
\(413\) 17.2427 + 17.2427i 0.848456 + 0.848456i
\(414\) 4.49210 1.67960i 0.220775 0.0825477i
\(415\) 6.30710 0.0371275i 0.309604 0.00182252i
\(416\) −4.68155 + 1.37463i −0.229532 + 0.0673967i
\(417\) 0.614873 8.59705i 0.0301105 0.420999i
\(418\) 1.00360 4.61349i 0.0490878 0.225653i
\(419\) −3.19623 22.2303i −0.156146 1.08602i −0.905652 0.424022i \(-0.860618\pi\)
0.749506 0.661998i \(-0.230291\pi\)
\(420\) −6.41723 + 1.43560i −0.313129 + 0.0700499i
\(421\) 10.3462 + 4.72496i 0.504244 + 0.230280i 0.651261 0.758854i \(-0.274240\pi\)
−0.147018 + 0.989134i \(0.546967\pi\)
\(422\) 18.2022 1.30185i 0.886071 0.0633730i
\(423\) −6.88112 9.19210i −0.334572 0.446935i
\(424\) −1.85076 4.05259i −0.0898807 0.196811i
\(425\) −4.80876 8.56529i −0.233259 0.415478i
\(426\) −6.05430 1.77770i −0.293332 0.0861299i
\(427\) −14.1358 + 37.8995i −0.684079 + 1.83409i
\(428\) 16.3485 12.2383i 0.790235 0.591563i
\(429\) 13.3458 15.4019i 0.644342 0.743610i
\(430\) −8.62962 + 3.27668i −0.416157 + 0.158015i
\(431\) 8.55585 13.3132i 0.412121 0.641273i −0.571693 0.820468i \(-0.693713\pi\)
0.983814 + 0.179195i \(0.0573494\pi\)
\(432\) −0.599278 + 0.800541i −0.0288328 + 0.0385161i
\(433\) −31.5157 6.85582i −1.51455 0.329470i −0.622937 0.782272i \(-0.714061\pi\)
−0.891611 + 0.452802i \(0.850424\pi\)
\(434\) 6.48545 + 7.48461i 0.311312 + 0.359273i
\(435\) 19.7705 5.93177i 0.947921 0.284406i
\(436\) 7.14309i 0.342092i
\(437\) 0.00437391 + 5.42108i 0.000209233 + 0.259325i
\(438\) 6.65209 6.65209i 0.317849 0.317849i
\(439\) −0.188218 0.641010i −0.00898314 0.0305938i 0.954879 0.296994i \(-0.0959840\pi\)
−0.963863 + 0.266400i \(0.914166\pi\)
\(440\) −6.15764 7.02234i −0.293554 0.334777i
\(441\) −1.38668 + 0.891164i −0.0660323 + 0.0424364i
\(442\) −7.67360 5.74439i −0.364996 0.273233i
\(443\) −4.19362 + 0.912265i −0.199245 + 0.0433430i −0.311080 0.950384i \(-0.600691\pi\)
0.111835 + 0.993727i \(0.464327\pi\)
\(444\) 2.30498 5.04720i 0.109390 0.239530i
\(445\) 2.66436 + 34.4053i 0.126303 + 1.63097i
\(446\) −2.05862 + 14.3180i −0.0974786 + 0.677979i
\(447\) 8.08134 + 3.01418i 0.382234 + 0.142566i
\(448\) 1.40938 + 2.58108i 0.0665869 + 0.121945i
\(449\) 9.26593 31.5569i 0.437286 1.48926i −0.386462 0.922305i \(-0.626303\pi\)
0.823749 0.566955i \(-0.191879\pi\)
\(450\) 1.69205 4.70499i 0.0797639 0.221796i
\(451\) 7.83974 + 1.12718i 0.369159 + 0.0530770i
\(452\) 0.472395 + 6.60494i 0.0222196 + 0.310670i
\(453\) 2.20864 + 5.92160i 0.103771 + 0.278221i
\(454\) 16.4499 + 10.5717i 0.772032 + 0.496155i
\(455\) 19.0762 25.7980i 0.894306 1.20943i
\(456\) −0.611126 0.950931i −0.0286186 0.0445314i
\(457\) −7.45946 0.533511i −0.348939 0.0249566i −0.104230 0.994553i \(-0.533238\pi\)
−0.244709 + 0.969597i \(0.578692\pi\)
\(458\) 12.4952 + 6.82292i 0.583865 + 0.318814i
\(459\) −1.96457 −0.0916983
\(460\) 8.62767 + 6.36893i 0.402267 + 0.296953i
\(461\) −39.8167 −1.85445 −0.927224 0.374506i \(-0.877812\pi\)
−0.927224 + 0.374506i \(0.877812\pi\)
\(462\) −10.7808 5.88675i −0.501567 0.273876i
\(463\) −18.1404 1.29742i −0.843054 0.0602964i −0.356871 0.934153i \(-0.616157\pi\)
−0.486183 + 0.873857i \(0.661611\pi\)
\(464\) −4.99066 7.76561i −0.231685 0.360510i
\(465\) −7.44717 + 1.11552i −0.345354 + 0.0517312i
\(466\) −12.1775 7.82603i −0.564113 0.362534i
\(467\) 7.43623 + 19.9373i 0.344108 + 0.922589i 0.987580 + 0.157119i \(0.0502206\pi\)
−0.643472 + 0.765470i \(0.722507\pi\)
\(468\) −0.348078 4.86676i −0.0160899 0.224966i
\(469\) −0.893003 0.128394i −0.0412350 0.00592870i
\(470\) 8.83085 24.1089i 0.407337 1.11206i
\(471\) 2.16048 7.35792i 0.0995497 0.339035i
\(472\) 3.97387 + 7.27760i 0.182912 + 0.334979i
\(473\) −16.1554 6.02564i −0.742824 0.277059i
\(474\) 0.00601541 0.0418381i 0.000276297 0.00192169i
\(475\) 4.31467 + 3.65064i 0.197971 + 0.167503i
\(476\) −2.40003 + 5.25533i −0.110005 + 0.240878i
\(477\) 4.35338 0.947021i 0.199328 0.0433611i
\(478\) 16.0723 + 12.0316i 0.735132 + 0.550313i
\(479\) 1.10188 0.708132i 0.0503460 0.0323554i −0.515226 0.857055i \(-0.672292\pi\)
0.565572 + 0.824699i \(0.308656\pi\)
\(480\) −2.23127 0.146387i −0.101843 0.00668164i
\(481\) 7.62729 + 25.9762i 0.347774 + 1.18441i
\(482\) −20.2827 + 20.2827i −0.923850 + 0.923850i
\(483\) 13.5355 + 3.96253i 0.615888 + 0.180301i
\(484\) 6.44598i 0.292999i
\(485\) 0.426270 + 1.42075i 0.0193559 + 0.0645130i
\(486\) −0.654861 0.755750i −0.0297051 0.0342815i
\(487\) −24.9696 5.43181i −1.13148 0.246139i −0.392426 0.919784i \(-0.628364\pi\)
−0.739055 + 0.673645i \(0.764728\pi\)
\(488\) −8.24288 + 11.0112i −0.373138 + 0.498454i
\(489\) 9.90252 15.4086i 0.447808 0.696802i
\(490\) −3.36169 1.51138i −0.151866 0.0682772i
\(491\) 2.90906 3.35724i 0.131284 0.151510i −0.686301 0.727317i \(-0.740767\pi\)
0.817585 + 0.575808i \(0.195312\pi\)
\(492\) 1.51803 1.13638i 0.0684382 0.0512322i
\(493\) 6.33751 16.9915i 0.285427 0.765260i
\(494\) 5.29190 + 1.55384i 0.238094 + 0.0699107i
\(495\) 8.17076 4.52421i 0.367248 0.203348i
\(496\) 1.39897 + 3.06331i 0.0628154 + 0.137547i
\(497\) −11.1203 14.8550i −0.498814 0.666337i
\(498\) 2.81349 0.201224i 0.126075 0.00901708i
\(499\) 4.26686 + 1.94861i 0.191011 + 0.0872317i 0.508624 0.860989i \(-0.330154\pi\)
−0.317614 + 0.948220i \(0.602881\pi\)
\(500\) 10.8812 2.56910i 0.486620 0.114894i
\(501\) −2.29232 15.9434i −0.102413 0.712300i
\(502\) −5.73424 + 26.3599i −0.255932 + 1.17650i
\(503\) 1.39695 19.5319i 0.0622869 0.870884i −0.866242 0.499624i \(-0.833471\pi\)
0.928529 0.371260i \(-0.121074\pi\)
\(504\) −2.82168 + 0.828521i −0.125688 + 0.0369053i
\(505\) 12.8519 13.0041i 0.571904 0.578677i
\(506\) 4.27377 + 19.5702i 0.189992 + 0.870001i
\(507\) 7.64138 + 7.64138i 0.339366 + 0.339366i
\(508\) −0.339447 + 0.621652i −0.0150605 + 0.0275813i
\(509\) 4.62803 4.01021i 0.205134 0.177749i −0.546235 0.837632i \(-0.683939\pi\)
0.751369 + 0.659883i \(0.229394\pi\)
\(510\) −2.39670 3.68151i −0.106128 0.163020i
\(511\) 27.3840 3.93722i 1.21140 0.174172i
\(512\) 0.212565 + 0.977147i 0.00939415 + 0.0431842i
\(513\) 1.05910 0.395025i 0.0467605 0.0174408i
\(514\) −11.7098 10.1466i −0.516498 0.447548i
\(515\) −0.653979 + 4.74672i −0.0288178 + 0.209165i
\(516\) −3.75507 + 1.71488i −0.165308 + 0.0754936i
\(517\) 42.0934 22.9848i 1.85127 1.01087i
\(518\) 14.3215 7.82011i 0.629249 0.343596i
\(519\) −13.5434 + 6.18504i −0.594487 + 0.271493i
\(520\) 8.69544 6.58955i 0.381320 0.288971i
\(521\) 27.3145 + 23.6681i 1.19667 + 1.03692i 0.998387 + 0.0567754i \(0.0180819\pi\)
0.198283 + 0.980145i \(0.436464\pi\)
\(522\) 8.64898 3.22590i 0.378556 0.141194i
\(523\) −0.521821 2.39877i −0.0228177 0.104891i 0.964330 0.264704i \(-0.0852744\pi\)
−0.987147 + 0.159813i \(0.948911\pi\)
\(524\) −16.5667 + 2.38194i −0.723722 + 0.104055i
\(525\) 12.2754 8.09468i 0.535741 0.353281i
\(526\) −8.02656 + 6.95506i −0.349975 + 0.303255i
\(527\) −3.17069 + 5.80668i −0.138117 + 0.252943i
\(528\) −2.95347 2.95347i −0.128533 0.128533i
\(529\) −9.58829 20.9061i −0.416882 0.908960i
\(530\) 7.08563 + 7.00270i 0.307780 + 0.304178i
\(531\) −7.95599 + 2.33609i −0.345261 + 0.101378i
\(532\) 0.237146 3.31574i 0.0102816 0.143756i
\(533\) −1.96670 + 9.04077i −0.0851872 + 0.391599i
\(534\) 2.19628 + 15.2755i 0.0950425 + 0.661035i
\(535\) −24.4616 + 38.5602i −1.05757 + 1.66710i
\(536\) −0.279058 0.127442i −0.0120535 0.00550464i
\(537\) 22.4845 1.60812i 0.970278 0.0693957i
\(538\) −0.620121 0.828385i −0.0267353 0.0357142i
\(539\) −2.86008 6.26271i −0.123192 0.269754i
\(540\) 0.617333 2.14916i 0.0265658 0.0924852i
\(541\) 35.2383 + 10.3469i 1.51501 + 0.444848i 0.930425 0.366482i \(-0.119438\pi\)
0.584588 + 0.811330i \(0.301256\pi\)
\(542\) 4.10468 11.0051i 0.176311 0.472709i
\(543\) −2.92332 + 2.18837i −0.125452 + 0.0939120i
\(544\) −1.28652 + 1.48472i −0.0551591 + 0.0636570i
\(545\) −5.66979 14.9323i −0.242867 0.639628i
\(546\) 7.75753 12.0710i 0.331992 0.516589i
\(547\) −21.4273 + 28.6235i −0.916164 + 1.22385i 0.0580698 + 0.998313i \(0.481505\pi\)
−0.974234 + 0.225540i \(0.927585\pi\)
\(548\) 15.3959 + 3.34918i 0.657681 + 0.143070i
\(549\) −9.00741 10.3951i −0.384427 0.443652i
\(550\) 18.4462 + 9.79224i 0.786548 + 0.417543i
\(551\) 10.4345i 0.444524i
\(552\) 4.03660 + 2.58957i 0.171809 + 0.110219i
\(553\) 0.0878955 0.0878955i 0.00373770 0.00373770i
\(554\) −6.51262 22.1800i −0.276695 0.942336i
\(555\) −0.812248 + 12.3805i −0.0344780 + 0.525522i
\(556\) 7.25077 4.65979i 0.307501 0.197619i
\(557\) 3.62401 + 2.71290i 0.153554 + 0.114949i 0.673292 0.739376i \(-0.264880\pi\)
−0.519738 + 0.854326i \(0.673970\pi\)
\(558\) −3.29067 + 0.715842i −0.139305 + 0.0303040i
\(559\) 8.36726 18.3217i 0.353897 0.774927i
\(560\) −4.99495 4.27693i −0.211075 0.180733i
\(561\) 1.16779 8.12217i 0.0493042 0.342918i
\(562\) −8.66366 3.23138i −0.365454 0.136307i
\(563\) 19.2554 + 35.2636i 0.811518 + 1.48618i 0.872808 + 0.488064i \(0.162297\pi\)
−0.0612897 + 0.998120i \(0.519521\pi\)
\(564\) 3.23495 11.0172i 0.136216 0.463910i
\(565\) −6.23016 13.4323i −0.262105 0.565102i
\(566\) 23.2761 + 3.34660i 0.978369 + 0.140668i
\(567\) −0.209795 2.93331i −0.00881055 0.123188i
\(568\) −2.20508 5.91205i −0.0925232 0.248064i
\(569\) −24.3262 15.6335i −1.01981 0.655390i −0.0798934 0.996803i \(-0.525458\pi\)
−0.939913 + 0.341414i \(0.889094\pi\)
\(570\) 2.03232 + 1.50279i 0.0851247 + 0.0629450i
\(571\) −19.4960 30.3363i −0.815882 1.26954i −0.960007 0.279977i \(-0.909673\pi\)
0.144125 0.989559i \(-0.453963\pi\)
\(572\) 20.3277 + 1.45386i 0.849943 + 0.0607891i
\(573\) −6.45533 3.52487i −0.269675 0.147254i
\(574\) 5.57653 0.232760
\(575\) −23.0910 6.46575i −0.962961 0.269640i
\(576\) −1.00000 −0.0416667
\(577\) −37.4676 20.4589i −1.55980 0.851714i −0.999729 0.0232671i \(-0.992593\pi\)
−0.560068 0.828447i \(-0.689225\pi\)
\(578\) 13.1070 + 0.937430i 0.545179 + 0.0389919i
\(579\) 9.50326 + 14.7874i 0.394942 + 0.614542i
\(580\) 16.5966 + 12.2723i 0.689137 + 0.509579i
\(581\) 6.97824 + 4.48464i 0.289506 + 0.186054i
\(582\) 0.231821 + 0.621536i 0.00960929 + 0.0257635i
\(583\) 1.32753 + 18.5612i 0.0549805 + 0.768728i
\(584\) 9.31172 + 1.33882i 0.385322 + 0.0554009i
\(585\) 4.59061 + 9.89743i 0.189798 + 0.409208i
\(586\) 4.81697 16.4051i 0.198987 0.677688i
\(587\) −14.0678 25.7632i −0.580640 1.06336i −0.988629 0.150376i \(-0.951952\pi\)
0.407989 0.912987i \(-0.366230\pi\)
\(588\) −1.54442 0.576038i −0.0636907 0.0237554i
\(589\) 0.541748 3.76794i 0.0223223 0.155255i
\(590\) −14.0837 12.0592i −0.579818 0.496469i
\(591\) −7.07880 + 15.5004i −0.291183 + 0.637602i
\(592\) 5.42182 1.17944i 0.222835 0.0484748i
\(593\) −25.0137 18.7250i −1.02719 0.768945i −0.0539059 0.998546i \(-0.517167\pi\)
−0.973285 + 0.229601i \(0.926258\pi\)
\(594\) 3.51378 2.25817i 0.144172 0.0926538i
\(595\) 0.845742 12.8910i 0.0346720 0.528479i
\(596\) 2.42999 + 8.27578i 0.0995362 + 0.338989i
\(597\) 10.7566 10.7566i 0.440237 0.440237i
\(598\) −23.1589 + 3.34883i −0.947039 + 0.136944i
\(599\) 29.5757i 1.20843i −0.796821 0.604215i \(-0.793487\pi\)
0.796821 0.604215i \(-0.206513\pi\)
\(600\) 4.78055 1.46504i 0.195165 0.0598102i
\(601\) −14.8029 17.0834i −0.603822 0.696848i 0.368729 0.929537i \(-0.379793\pi\)
−0.972551 + 0.232689i \(0.925248\pi\)
\(602\) −11.8626 2.58055i −0.483483 0.105175i
\(603\) 0.183847 0.245591i 0.00748685 0.0100013i
\(604\) −3.41690 + 5.31679i −0.139032 + 0.216337i
\(605\) 5.11646 + 13.4750i 0.208014 + 0.547835i
\(606\) 5.35450 6.17943i 0.217512 0.251022i
\(607\) 20.8409 15.6013i 0.845906 0.633238i −0.0858555 0.996308i \(-0.527362\pi\)
0.931762 + 0.363070i \(0.118271\pi\)
\(608\) 0.395025 1.05910i 0.0160204 0.0429523i
\(609\) 26.0470 + 7.64808i 1.05548 + 0.309916i
\(610\) 8.49122 29.5611i 0.343800 1.19689i
\(611\) 23.2735 + 50.9618i 0.941545 + 2.06170i
\(612\) −1.17732 1.57272i −0.0475905 0.0635734i
\(613\) −7.07221 + 0.505814i −0.285644 + 0.0204297i −0.213426 0.976959i \(-0.568462\pi\)
−0.0722179 + 0.997389i \(0.523008\pi\)
\(614\) −10.3092 4.70805i −0.416045 0.190001i
\(615\) −2.27137 + 3.58048i −0.0915903 + 0.144379i
\(616\) −1.74809 12.1582i −0.0704326 0.489870i
\(617\) −6.14359 + 28.2416i −0.247332 + 1.13697i 0.671094 + 0.741372i \(0.265825\pi\)
−0.918426 + 0.395594i \(0.870539\pi\)
\(618\) −0.152869 + 2.13739i −0.00614930 + 0.0859784i
\(619\) 30.0118 8.81225i 1.20627 0.354194i 0.384026 0.923322i \(-0.374537\pi\)
0.822249 + 0.569128i \(0.192719\pi\)
\(620\) −5.35595 5.29326i −0.215100 0.212582i
\(621\) −3.38843 + 3.39390i −0.135973 + 0.136193i
\(622\) 0.712323 + 0.712323i 0.0285615 + 0.0285615i
\(623\) −21.7503 + 39.8328i −0.871409 + 1.59587i
\(624\) 3.68745 3.19519i 0.147616 0.127910i
\(625\) −20.7073 + 14.0074i −0.828291 + 0.560297i
\(626\) 14.3100 2.05746i 0.571941 0.0822327i
\(627\) 1.00360 + 4.61349i 0.0400800 + 0.184245i
\(628\) 7.18505 2.67988i 0.286715 0.106939i
\(629\) 8.23816 + 7.13841i 0.328477 + 0.284627i
\(630\) 5.24095 3.97168i 0.208804 0.158235i
\(631\) 39.6649 18.1143i 1.57903 0.721120i 0.583201 0.812328i \(-0.301800\pi\)
0.995832 + 0.0912073i \(0.0290726\pi\)
\(632\) 0.0370980 0.0202571i 0.00147568 0.000805782i
\(633\) −16.0165 + 8.74569i −0.636600 + 0.347610i
\(634\) −7.21045 + 3.29290i −0.286364 + 0.130778i
\(635\) 0.216164 1.56896i 0.00857821 0.0622625i
\(636\) 3.36702 + 2.91754i 0.133511 + 0.115688i
\(637\) 7.53552 2.81060i 0.298568 0.111360i
\(638\) 8.19575 + 37.6753i 0.324473 + 1.49158i
\(639\) 6.24567 0.897991i 0.247075 0.0355240i
\(640\) −1.21996 1.87395i −0.0482232 0.0740744i
\(641\) −26.0004 + 22.5295i −1.02696 + 0.889862i −0.993976 0.109594i \(-0.965045\pi\)
−0.0329795 + 0.999456i \(0.510500\pi\)
\(642\) −9.78714 + 17.9238i −0.386268 + 0.707396i
\(643\) 13.9539 + 13.9539i 0.550288 + 0.550288i 0.926524 0.376236i \(-0.122782\pi\)
−0.376236 + 0.926524i \(0.622782\pi\)
\(644\) 4.93937 + 13.2104i 0.194638 + 0.520563i
\(645\) 6.48860 6.56544i 0.255488 0.258514i
\(646\) 2.13074 0.625643i 0.0838330 0.0246156i
\(647\) 0.612820 8.56834i 0.0240924 0.336856i −0.971083 0.238743i \(-0.923265\pi\)
0.995175 0.0981133i \(-0.0312808\pi\)
\(648\) 0.212565 0.977147i 0.00835035 0.0383860i
\(649\) −4.92890 34.2813i −0.193476 1.34566i
\(650\) −12.9469 + 20.6771i −0.507820 + 0.811021i
\(651\) −9.00859 4.11409i −0.353075 0.161244i
\(652\) 18.2696 1.30667i 0.715493 0.0511731i
\(653\) 5.07903 + 6.78479i 0.198758 + 0.265509i 0.888836 0.458226i \(-0.151515\pi\)
−0.690078 + 0.723735i \(0.742424\pi\)
\(654\) −2.96735 6.49759i −0.116033 0.254076i
\(655\) 32.7413 18.1291i 1.27931 0.708362i
\(656\) 1.81945 + 0.534237i 0.0710374 + 0.0208585i
\(657\) −3.28757 + 8.81433i −0.128261 + 0.343880i
\(658\) 27.0322 20.2361i 1.05382 0.788883i
\(659\) 8.17213 9.43114i 0.318341 0.367385i −0.573915 0.818915i \(-0.694576\pi\)
0.892256 + 0.451530i \(0.149122\pi\)
\(660\) 8.51838 + 3.82977i 0.331577 + 0.149074i
\(661\) −14.9083 + 23.1978i −0.579866 + 0.902289i −0.999987 0.00517936i \(-0.998351\pi\)
0.420121 + 0.907468i \(0.361988\pi\)
\(662\) 2.32617 3.10740i 0.0904092 0.120772i
\(663\) 9.36646 + 2.03755i 0.363763 + 0.0791318i
\(664\) 1.84715 + 2.13172i 0.0716832 + 0.0827268i
\(665\) 2.13611 + 7.11962i 0.0828348 + 0.276087i
\(666\) 5.54862i 0.215005i
\(667\) −18.4230 40.2549i −0.713343 1.55867i
\(668\) 11.3896 11.3896i 0.440678 0.440678i
\(669\) −4.07534 13.8793i −0.157562 0.536606i
\(670\) 0.684513 + 0.0449090i 0.0264450 + 0.00173498i
\(671\) 48.3310 31.0604i 1.86580 1.19907i
\(672\) −2.35424 1.76236i −0.0908167 0.0679845i
\(673\) 16.4176 3.57143i 0.632853 0.137669i 0.115315 0.993329i \(-0.463212\pi\)
0.517538 + 0.855660i \(0.326849\pi\)
\(674\) 10.4055 22.7849i 0.400806 0.877643i
\(675\) 0.415385 + 4.98272i 0.0159882 + 0.191785i
\(676\) −1.53793 + 10.6966i −0.0591512 + 0.411406i
\(677\) −33.2702 12.4091i −1.27868 0.476922i −0.383875 0.923385i \(-0.625411\pi\)
−0.894802 + 0.446463i \(0.852683\pi\)
\(678\) −3.17350 5.81183i −0.121877 0.223202i
\(679\) −0.549609 + 1.87180i −0.0210920 + 0.0718329i
\(680\) 1.51091 4.12490i 0.0579408 0.158183i
\(681\) −19.3550 2.78283i −0.741685 0.106638i
\(682\) −1.00346 14.0302i −0.0384245 0.537245i
\(683\) −3.16567 8.48750i −0.121131 0.324765i 0.862206 0.506558i \(-0.169083\pi\)
−0.983337 + 0.181793i \(0.941810\pi\)
\(684\) 0.950931 + 0.611126i 0.0363597 + 0.0233670i
\(685\) −34.8427 + 5.21915i −1.33127 + 0.199414i
\(686\) 8.50870 + 13.2398i 0.324864 + 0.505498i
\(687\) −14.2004 1.01563i −0.541780 0.0387489i
\(688\) −3.62317 1.97840i −0.138132 0.0754257i
\(689\) −21.7378 −0.828144
\(690\) −10.4938 2.20932i −0.399490 0.0841074i
\(691\) −11.9313 −0.453889 −0.226944 0.973908i \(-0.572874\pi\)
−0.226944 + 0.973908i \(0.572874\pi\)
\(692\) −13.0676 7.13546i −0.496756 0.271249i
\(693\) 12.2520 + 0.876279i 0.465414 + 0.0332871i
\(694\) 17.0054 + 26.4609i 0.645517 + 1.00444i
\(695\) −11.4587 + 15.4963i −0.434652 + 0.587808i
\(696\) 7.76561 + 4.99066i 0.294355 + 0.189170i
\(697\) 1.30187 + 3.49045i 0.0493118 + 0.132210i
\(698\) −1.81477 25.3738i −0.0686900 0.960411i
\(699\) 14.3281 + 2.06007i 0.541939 + 0.0779191i
\(700\) 13.8365 + 4.97598i 0.522970 + 0.188075i
\(701\) 3.31204 11.2798i 0.125094 0.426031i −0.873002 0.487717i \(-0.837830\pi\)
0.998096 + 0.0616864i \(0.0196479\pi\)
\(702\) 2.33835 + 4.28237i 0.0882553 + 0.161628i
\(703\) −5.87656 2.19184i −0.221639 0.0826670i
\(704\) 0.594426 4.13432i 0.0224033 0.155818i
\(705\) 1.98238 + 25.5987i 0.0746607 + 0.964103i
\(706\) 8.30527 18.1860i 0.312573 0.684439i
\(707\) 23.4962 5.11127i 0.883664 0.192229i
\(708\) −6.63799 4.96913i −0.249471 0.186751i
\(709\) 30.6740 19.7130i 1.15199 0.740336i 0.181952 0.983307i \(-0.441758\pi\)
0.970034 + 0.242971i \(0.0781220\pi\)
\(710\) 9.30227 + 10.6086i 0.349108 + 0.398132i
\(711\) 0.0119084 + 0.0405562i 0.000446599 + 0.00152097i
\(712\) −10.9125 + 10.9125i −0.408962 + 0.408962i
\(713\) 4.56265 + 15.4927i 0.170873 + 0.580207i
\(714\) 5.77742i 0.216215i
\(715\) −43.6479 + 13.0958i −1.63234 + 0.489754i
\(716\) 14.7618 + 17.0361i 0.551676 + 0.636668i
\(717\) −19.6180 4.26764i −0.732649 0.159378i
\(718\) 18.1649 24.2655i 0.677910 0.905581i
\(719\) −18.4260 + 28.6714i −0.687173 + 1.06926i 0.305934 + 0.952053i \(0.401031\pi\)
−0.993107 + 0.117210i \(0.962605\pi\)
\(720\) 2.09045 0.793745i 0.0779064 0.0295811i
\(721\) −4.12674 + 4.76251i −0.153688 + 0.177365i
\(722\) 14.1874 10.6206i 0.528000 0.395256i
\(723\) 10.0240 26.8755i 0.372798 0.999509i
\(724\) −3.50376 1.02880i −0.130216 0.0382350i
\(725\) −44.4354 12.4811i −1.65029 0.463537i
\(726\) 2.67775 + 5.86347i 0.0993808 + 0.217614i
\(727\) 11.9448 + 15.9564i 0.443009 + 0.591791i 0.965354 0.260943i \(-0.0840336\pi\)
−0.522345 + 0.852734i \(0.674943\pi\)
\(728\) 14.3122 1.02363i 0.530446 0.0379382i
\(729\) 0.909632 + 0.415415i 0.0336901 + 0.0153857i
\(730\) −20.5283 + 4.59239i −0.759788 + 0.169972i
\(731\) −1.15417 8.02744i −0.0426886 0.296906i
\(732\) 2.92377 13.4404i 0.108066 0.496770i
\(733\) −0.0548473 + 0.766865i −0.00202583 + 0.0283248i −0.998364 0.0571696i \(-0.981792\pi\)
0.996339 + 0.0854944i \(0.0272470\pi\)
\(734\) 29.2035 8.57492i 1.07792 0.316506i
\(735\) 3.68575 0.0216966i 0.135951 0.000800291i
\(736\) 0.345990 + 4.78333i 0.0127534 + 0.176316i
\(737\) 0.906071 + 0.906071i 0.0333755 + 0.0333755i
\(738\) −0.908779 + 1.66431i −0.0334526 + 0.0612639i
\(739\) 9.04099 7.83406i 0.332578 0.288181i −0.472523 0.881318i \(-0.656657\pi\)
0.805101 + 0.593138i \(0.202111\pi\)
\(740\) −10.3978 + 6.76910i −0.382232 + 0.248837i
\(741\) −5.45918 + 0.784911i −0.200548 + 0.0288344i
\(742\) 2.78501 + 12.8025i 0.102241 + 0.469993i
\(743\) 17.0609 6.36340i 0.625905 0.233451i −0.0164414 0.999865i \(-0.505234\pi\)
0.642347 + 0.766414i \(0.277961\pi\)
\(744\) −2.54509 2.20533i −0.0933074 0.0808513i
\(745\) −11.6486 15.3713i −0.426772 0.563160i
\(746\) −1.47394 + 0.673124i −0.0539646 + 0.0246448i
\(747\) −2.47564 + 1.35180i −0.0905791 + 0.0494599i
\(748\) 7.20196 3.93257i 0.263330 0.143789i
\(749\) −54.6294 + 24.9484i −1.99612 + 0.911596i
\(750\) −8.83061 + 6.85713i −0.322448 + 0.250387i
\(751\) −15.7348 13.6343i −0.574172 0.497523i 0.318686 0.947860i \(-0.396758\pi\)
−0.892859 + 0.450337i \(0.851304\pi\)
\(752\) 10.7584 4.01267i 0.392318 0.146327i
\(753\) −5.73424 26.3599i −0.208967 0.960608i
\(754\) −44.5814 + 6.40984i −1.62356 + 0.233433i
\(755\) 2.92266 13.8266i 0.106367 0.503202i
\(756\) 2.22251 1.92582i 0.0808320 0.0700414i
\(757\) −12.3660 + 22.6466i −0.449449 + 0.823104i −0.999931 0.0117429i \(-0.996262\pi\)
0.550482 + 0.834847i \(0.314444\pi\)
\(758\) 3.00743 + 3.00743i 0.109235 + 0.109235i
\(759\) −12.0173 16.0263i −0.436201 0.581717i
\(760\) 0.0148787 + 2.52755i 0.000539707 + 0.0916838i
\(761\) 35.0956 10.3050i 1.27221 0.373555i 0.425186 0.905106i \(-0.360209\pi\)
0.847027 + 0.531550i \(0.178390\pi\)
\(762\) 0.0505289 0.706486i 0.00183047 0.0255933i
\(763\) 4.46525 20.5264i 0.161653 0.743106i
\(764\) −1.04673 7.28013i −0.0378692 0.263386i
\(765\) 3.70947 + 2.35319i 0.134116 + 0.0850798i
\(766\) −1.51864 0.693538i −0.0548706 0.0250585i
\(767\) 40.3546 2.88622i 1.45712 0.104215i
\(768\) −0.599278 0.800541i −0.0216246 0.0288870i
\(769\) −0.116265 0.254584i −0.00419261 0.00918054i 0.907524 0.420000i \(-0.137970\pi\)
−0.911717 + 0.410819i \(0.865243\pi\)
\(770\) 13.3048 + 24.0286i 0.479473 + 0.865932i
\(771\) 14.8667 + 4.36525i 0.535410 + 0.157211i
\(772\) −6.14280 + 16.4695i −0.221084 + 0.592750i
\(773\) −9.72929 + 7.28325i −0.349938 + 0.261960i