Properties

Label 91.2.bc.a.20.5
Level $91$
Weight $2$
Character 91.20
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bc (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 20.5
Character \(\chi\) \(=\) 91.20
Dual form 91.2.bc.a.41.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.112775 + 0.0302180i) q^{2} +(-2.25055 - 1.29935i) q^{3} +(-1.72025 + 0.993184i) q^{4} +(-1.24841 + 1.24841i) q^{5} +(0.293070 + 0.0785278i) q^{6} +(-2.18126 - 1.49736i) q^{7} +(0.329103 - 0.329103i) q^{8} +(1.87664 + 3.25044i) q^{9} +O(q^{10})\) \(q+(-0.112775 + 0.0302180i) q^{2} +(-2.25055 - 1.29935i) q^{3} +(-1.72025 + 0.993184i) q^{4} +(-1.24841 + 1.24841i) q^{5} +(0.293070 + 0.0785278i) q^{6} +(-2.18126 - 1.49736i) q^{7} +(0.329103 - 0.329103i) q^{8} +(1.87664 + 3.25044i) q^{9} +(0.103066 - 0.178515i) q^{10} +(-0.506699 - 1.89103i) q^{11} +5.16199 q^{12} +(-1.85749 + 3.09026i) q^{13} +(0.291240 + 0.102952i) q^{14} +(4.43175 - 1.18748i) q^{15} +(1.95920 - 3.39343i) q^{16} +(-2.13907 - 3.70498i) q^{17} +(-0.309861 - 0.309861i) q^{18} +(4.12248 + 1.10462i) q^{19} +(0.907674 - 3.38749i) q^{20} +(2.96343 + 6.20412i) q^{21} +(0.114286 + 0.197949i) q^{22} +(-5.53927 - 3.19810i) q^{23} +(-1.16828 + 0.313041i) q^{24} +1.88292i q^{25} +(0.116097 - 0.404635i) q^{26} -1.95756i q^{27} +(5.23946 + 0.409435i) q^{28} +(-3.57954 + 6.19995i) q^{29} +(-0.463908 + 0.267837i) q^{30} +(-3.02628 + 3.02628i) q^{31} +(-0.359327 + 1.34103i) q^{32} +(-1.31676 + 4.91422i) q^{33} +(0.353191 + 0.353191i) q^{34} +(4.59245 - 0.853791i) q^{35} +(-6.45657 - 3.72770i) q^{36} +(-0.732202 - 2.73261i) q^{37} -0.498293 q^{38} +(8.19572 - 4.54125i) q^{39} +0.821715i q^{40} +(-2.94901 - 11.0059i) q^{41} +(-0.521678 - 0.610122i) q^{42} +(-1.55234 + 0.896243i) q^{43} +(2.74978 + 2.74978i) q^{44} +(-6.40072 - 1.71507i) q^{45} +(0.721333 + 0.193281i) q^{46} +(-4.68665 - 4.68665i) q^{47} +(-8.81854 + 5.09139i) q^{48} +(2.51581 + 6.53228i) q^{49} +(-0.0568982 - 0.212347i) q^{50} +11.1176i q^{51} +(0.126138 - 7.16084i) q^{52} +4.27793 q^{53} +(0.0591537 + 0.220765i) q^{54} +(2.99335 + 1.72821i) q^{55} +(-1.21065 + 0.225074i) q^{56} +(-7.84255 - 7.84255i) q^{57} +(0.216333 - 0.807367i) q^{58} +(-0.436704 + 1.62980i) q^{59} +(-6.44431 + 6.44431i) q^{60} +(2.66960 - 1.54129i) q^{61} +(0.249841 - 0.432737i) q^{62} +(0.773637 - 9.90007i) q^{63} +7.67470i q^{64} +(-1.53901 - 6.17685i) q^{65} -0.593993i q^{66} +(-0.0190380 + 0.00510122i) q^{67} +(7.35945 + 4.24898i) q^{68} +(8.31093 + 14.3949i) q^{69} +(-0.492115 + 0.235061i) q^{70} +(1.23109 - 4.59449i) q^{71} +(1.68734 + 0.452121i) q^{72} +(0.698492 + 0.698492i) q^{73} +(0.165148 + 0.286046i) q^{74} +(2.44658 - 4.23761i) q^{75} +(-8.18877 + 2.19417i) q^{76} +(-1.72631 + 4.88353i) q^{77} +(-0.787046 + 0.759799i) q^{78} -5.93719 q^{79} +(1.79052 + 6.68230i) q^{80} +(3.08636 - 5.34573i) q^{81} +(0.665151 + 1.15208i) q^{82} +(9.87683 - 9.87683i) q^{83} +(-11.2597 - 7.72937i) q^{84} +(7.29580 + 1.95490i) q^{85} +(0.147983 - 0.147983i) q^{86} +(16.1119 - 9.30218i) q^{87} +(-0.789099 - 0.455587i) q^{88} +(-7.76240 + 2.07993i) q^{89} +0.773669 q^{90} +(8.67892 - 3.95934i) q^{91} +12.7052 q^{92} +(10.7430 - 2.87857i) q^{93} +(0.670159 + 0.386917i) q^{94} +(-6.52558 + 3.76755i) q^{95} +(2.55115 - 2.55115i) q^{96} +(14.2676 + 3.82300i) q^{97} +(-0.481114 - 0.660657i) q^{98} +(5.19577 - 5.19577i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} - 4q^{11} - 32q^{14} - 8q^{15} + 12q^{16} - 4q^{18} + 16q^{21} + 4q^{22} - 12q^{23} + 24q^{28} + 4q^{29} + 12q^{30} + 4q^{32} - 20q^{35} + 4q^{37} - 36q^{39} - 28q^{42} - 48q^{43} + 24q^{44} + 84q^{46} + 24q^{49} - 44q^{50} + 72q^{53} + 60q^{56} - 92q^{57} - 16q^{58} + 76q^{60} + 48q^{63} + 4q^{65} - 56q^{67} + 56q^{70} + 84q^{71} - 128q^{72} - 24q^{74} + 148q^{78} - 80q^{79} + 28q^{81} - 64q^{84} + 36q^{85} - 48q^{86} - 228q^{88} - 48q^{91} + 24q^{92} + 108q^{93} - 84q^{95} - 32q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{11}{12}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.112775 + 0.0302180i −0.0797441 + 0.0213674i −0.298471 0.954419i \(-0.596476\pi\)
0.218726 + 0.975786i \(0.429810\pi\)
\(3\) −2.25055 1.29935i −1.29935 0.750182i −0.319062 0.947734i \(-0.603368\pi\)
−0.980292 + 0.197552i \(0.936701\pi\)
\(4\) −1.72025 + 0.993184i −0.860123 + 0.496592i
\(5\) −1.24841 + 1.24841i −0.558308 + 0.558308i −0.928825 0.370518i \(-0.879180\pi\)
0.370518 + 0.928825i \(0.379180\pi\)
\(6\) 0.293070 + 0.0785278i 0.119645 + 0.0320589i
\(7\) −2.18126 1.49736i −0.824440 0.565950i
\(8\) 0.329103 0.329103i 0.116356 0.116356i
\(9\) 1.87664 + 3.25044i 0.625547 + 1.08348i
\(10\) 0.103066 0.178515i 0.0325922 0.0564514i
\(11\) −0.506699 1.89103i −0.152775 0.570166i −0.999286 0.0377930i \(-0.987967\pi\)
0.846510 0.532373i \(-0.178699\pi\)
\(12\) 5.16199 1.49014
\(13\) −1.85749 + 3.09026i −0.515175 + 0.857085i
\(14\) 0.291240 + 0.102952i 0.0778371 + 0.0275151i
\(15\) 4.43175 1.18748i 1.14427 0.306607i
\(16\) 1.95920 3.39343i 0.489800 0.848358i
\(17\) −2.13907 3.70498i −0.518801 0.898589i −0.999761 0.0218471i \(-0.993045\pi\)
0.480960 0.876742i \(-0.340288\pi\)
\(18\) −0.309861 0.309861i −0.0730348 0.0730348i
\(19\) 4.12248 + 1.10462i 0.945762 + 0.253416i 0.698563 0.715549i \(-0.253823\pi\)
0.247199 + 0.968965i \(0.420490\pi\)
\(20\) 0.907674 3.38749i 0.202962 0.757465i
\(21\) 2.96343 + 6.20412i 0.646673 + 1.35385i
\(22\) 0.114286 + 0.197949i 0.0243659 + 0.0422030i
\(23\) −5.53927 3.19810i −1.15502 0.666850i −0.204913 0.978780i \(-0.565691\pi\)
−0.950105 + 0.311930i \(0.899024\pi\)
\(24\) −1.16828 + 0.313041i −0.238475 + 0.0638992i
\(25\) 1.88292i 0.376585i
\(26\) 0.116097 0.404635i 0.0227685 0.0793554i
\(27\) 1.95756i 0.376733i
\(28\) 5.23946 + 0.409435i 0.990166 + 0.0773760i
\(29\) −3.57954 + 6.19995i −0.664704 + 1.15130i 0.314661 + 0.949204i \(0.398109\pi\)
−0.979365 + 0.202097i \(0.935224\pi\)
\(30\) −0.463908 + 0.267837i −0.0846976 + 0.0489002i
\(31\) −3.02628 + 3.02628i −0.543535 + 0.543535i −0.924563 0.381028i \(-0.875570\pi\)
0.381028 + 0.924563i \(0.375570\pi\)
\(32\) −0.359327 + 1.34103i −0.0635206 + 0.237062i
\(33\) −1.31676 + 4.91422i −0.229219 + 0.855456i
\(34\) 0.353191 + 0.353191i 0.0605718 + 0.0605718i
\(35\) 4.59245 0.853791i 0.776265 0.144317i
\(36\) −6.45657 3.72770i −1.07609 0.621284i
\(37\) −0.732202 2.73261i −0.120373 0.449239i 0.879259 0.476343i \(-0.158038\pi\)
−0.999633 + 0.0271042i \(0.991371\pi\)
\(38\) −0.498293 −0.0808338
\(39\) 8.19572 4.54125i 1.31236 0.727181i
\(40\) 0.821715i 0.129925i
\(41\) −2.94901 11.0059i −0.460558 1.71883i −0.671212 0.741266i \(-0.734226\pi\)
0.210654 0.977561i \(-0.432441\pi\)
\(42\) −0.521678 0.610122i −0.0804966 0.0941438i
\(43\) −1.55234 + 0.896243i −0.236730 + 0.136676i −0.613673 0.789561i \(-0.710309\pi\)
0.376943 + 0.926236i \(0.376975\pi\)
\(44\) 2.74978 + 2.74978i 0.414545 + 0.414545i
\(45\) −6.40072 1.71507i −0.954163 0.255667i
\(46\) 0.721333 + 0.193281i 0.106355 + 0.0284977i
\(47\) −4.68665 4.68665i −0.683618 0.683618i 0.277196 0.960814i \(-0.410595\pi\)
−0.960814 + 0.277196i \(0.910595\pi\)
\(48\) −8.81854 + 5.09139i −1.27285 + 0.734878i
\(49\) 2.51581 + 6.53228i 0.359402 + 0.933183i
\(50\) −0.0568982 0.212347i −0.00804663 0.0300304i
\(51\) 11.1176i 1.55678i
\(52\) 0.126138 7.16084i 0.0174922 0.993030i
\(53\) 4.27793 0.587619 0.293809 0.955864i \(-0.405077\pi\)
0.293809 + 0.955864i \(0.405077\pi\)
\(54\) 0.0591537 + 0.220765i 0.00804980 + 0.0300423i
\(55\) 2.99335 + 1.72821i 0.403624 + 0.233032i
\(56\) −1.21065 + 0.225074i −0.161780 + 0.0300768i
\(57\) −7.84255 7.84255i −1.03877 1.03877i
\(58\) 0.216333 0.807367i 0.0284060 0.106013i
\(59\) −0.436704 + 1.62980i −0.0568541 + 0.212182i −0.988509 0.151162i \(-0.951698\pi\)
0.931655 + 0.363344i \(0.118365\pi\)
\(60\) −6.44431 + 6.44431i −0.831956 + 0.831956i
\(61\) 2.66960 1.54129i 0.341807 0.197342i −0.319264 0.947666i \(-0.603436\pi\)
0.661071 + 0.750323i \(0.270102\pi\)
\(62\) 0.249841 0.432737i 0.0317298 0.0549577i
\(63\) 0.773637 9.90007i 0.0974690 1.24729i
\(64\) 7.67470i 0.959338i
\(65\) −1.53901 6.17685i −0.190891 0.766144i
\(66\) 0.593993i 0.0731154i
\(67\) −0.0190380 + 0.00510122i −0.00232586 + 0.000623213i −0.259982 0.965614i \(-0.583717\pi\)
0.257656 + 0.966237i \(0.417050\pi\)
\(68\) 7.35945 + 4.24898i 0.892465 + 0.515265i
\(69\) 8.31093 + 14.3949i 1.00052 + 1.73295i
\(70\) −0.492115 + 0.235061i −0.0588189 + 0.0280952i
\(71\) 1.23109 4.59449i 0.146104 0.545266i −0.853600 0.520929i \(-0.825586\pi\)
0.999704 0.0243373i \(-0.00774758\pi\)
\(72\) 1.68734 + 0.452121i 0.198855 + 0.0532830i
\(73\) 0.698492 + 0.698492i 0.0817523 + 0.0817523i 0.746800 0.665048i \(-0.231589\pi\)
−0.665048 + 0.746800i \(0.731589\pi\)
\(74\) 0.165148 + 0.286046i 0.0191981 + 0.0332521i
\(75\) 2.44658 4.23761i 0.282507 0.489317i
\(76\) −8.18877 + 2.19417i −0.939316 + 0.251689i
\(77\) −1.72631 + 4.88353i −0.196731 + 0.556530i
\(78\) −0.787046 + 0.759799i −0.0891154 + 0.0860303i
\(79\) −5.93719 −0.667987 −0.333993 0.942575i \(-0.608396\pi\)
−0.333993 + 0.942575i \(0.608396\pi\)
\(80\) 1.79052 + 6.68230i 0.200186 + 0.747104i
\(81\) 3.08636 5.34573i 0.342929 0.593970i
\(82\) 0.665151 + 1.15208i 0.0734536 + 0.127225i
\(83\) 9.87683 9.87683i 1.08412 1.08412i 0.0880033 0.996120i \(-0.471951\pi\)
0.996120 0.0880033i \(-0.0280486\pi\)
\(84\) −11.2597 7.72937i −1.22853 0.843344i
\(85\) 7.29580 + 1.95490i 0.791340 + 0.212039i
\(86\) 0.147983 0.147983i 0.0159574 0.0159574i
\(87\) 16.1119 9.30218i 1.72737 0.997299i
\(88\) −0.789099 0.455587i −0.0841183 0.0485657i
\(89\) −7.76240 + 2.07993i −0.822813 + 0.220472i −0.645576 0.763696i \(-0.723383\pi\)
−0.177237 + 0.984168i \(0.556716\pi\)
\(90\) 0.773669 0.0815519
\(91\) 8.67892 3.95934i 0.909798 0.415052i
\(92\) 12.7052 1.32461
\(93\) 10.7430 2.87857i 1.11400 0.298494i
\(94\) 0.670159 + 0.386917i 0.0691216 + 0.0399074i
\(95\) −6.52558 + 3.76755i −0.669511 + 0.386542i
\(96\) 2.55115 2.55115i 0.260376 0.260376i
\(97\) 14.2676 + 3.82300i 1.44866 + 0.388167i 0.895557 0.444946i \(-0.146777\pi\)
0.553102 + 0.833113i \(0.313444\pi\)
\(98\) −0.481114 0.660657i −0.0485999 0.0667364i
\(99\) 5.19577 5.19577i 0.522194 0.522194i
\(100\) −1.87009 3.23909i −0.187009 0.323909i
\(101\) −8.00479 + 13.8647i −0.796506 + 1.37959i 0.125372 + 0.992110i \(0.459988\pi\)
−0.921878 + 0.387480i \(0.873346\pi\)
\(102\) −0.335953 1.25379i −0.0332643 0.124144i
\(103\) −11.8151 −1.16418 −0.582088 0.813126i \(-0.697764\pi\)
−0.582088 + 0.813126i \(0.697764\pi\)
\(104\) 0.405710 + 1.62832i 0.0397831 + 0.159670i
\(105\) −11.4449 4.04572i −1.11691 0.394822i
\(106\) −0.482444 + 0.129271i −0.0468591 + 0.0125559i
\(107\) −3.99556 + 6.92051i −0.386265 + 0.669031i −0.991944 0.126678i \(-0.959568\pi\)
0.605679 + 0.795709i \(0.292902\pi\)
\(108\) 1.94422 + 3.36749i 0.187083 + 0.324037i
\(109\) −8.75647 8.75647i −0.838718 0.838718i 0.149972 0.988690i \(-0.452082\pi\)
−0.988690 + 0.149972i \(0.952082\pi\)
\(110\) −0.389799 0.104446i −0.0371659 0.00995857i
\(111\) −1.90278 + 7.10127i −0.180604 + 0.674022i
\(112\) −9.35472 + 4.46833i −0.883938 + 0.422218i
\(113\) 4.27217 + 7.39961i 0.401892 + 0.696097i 0.993954 0.109795i \(-0.0350195\pi\)
−0.592063 + 0.805892i \(0.701686\pi\)
\(114\) 1.12143 + 0.647459i 0.105032 + 0.0606401i
\(115\) 10.9079 2.92275i 1.01716 0.272548i
\(116\) 14.2206i 1.32035i
\(117\) −13.5306 0.238340i −1.25090 0.0220346i
\(118\) 0.196998i 0.0181351i
\(119\) −0.881822 + 11.2845i −0.0808365 + 1.03445i
\(120\) 1.06770 1.84931i 0.0974671 0.168818i
\(121\) 6.20705 3.58364i 0.564277 0.325785i
\(122\) −0.254490 + 0.254490i −0.0230404 + 0.0230404i
\(123\) −7.66362 + 28.6010i −0.691005 + 2.57887i
\(124\) 2.20029 8.21159i 0.197592 0.737422i
\(125\) −8.59274 8.59274i −0.768558 0.768558i
\(126\) 0.211914 + 1.13986i 0.0188788 + 0.101547i
\(127\) −5.29483 3.05697i −0.469840 0.271262i 0.246333 0.969185i \(-0.420774\pi\)
−0.716173 + 0.697923i \(0.754108\pi\)
\(128\) −0.950568 3.54757i −0.0840191 0.313564i
\(129\) 4.65815 0.410127
\(130\) 0.360215 + 0.650090i 0.0315929 + 0.0570166i
\(131\) 5.76435i 0.503634i 0.967775 + 0.251817i \(0.0810280\pi\)
−0.967775 + 0.251817i \(0.918972\pi\)
\(132\) −2.61557 9.76146i −0.227657 0.849626i
\(133\) −7.33820 8.58230i −0.636303 0.744180i
\(134\) 0.00199287 0.00115058i 0.000172157 9.93951e-5i
\(135\) 2.44385 + 2.44385i 0.210333 + 0.210333i
\(136\) −1.92330 0.515346i −0.164921 0.0441905i
\(137\) −6.06188 1.62427i −0.517901 0.138771i −0.00960548 0.999954i \(-0.503058\pi\)
−0.508296 + 0.861183i \(0.669724\pi\)
\(138\) −1.37225 1.37225i −0.116814 0.116814i
\(139\) −18.1314 + 10.4682i −1.53789 + 0.887900i −0.538927 + 0.842353i \(0.681170\pi\)
−0.998962 + 0.0455477i \(0.985497\pi\)
\(140\) −7.05217 + 6.02988i −0.596017 + 0.509618i
\(141\) 4.45791 + 16.6371i 0.375424 + 1.40110i
\(142\) 0.555346i 0.0466036i
\(143\) 6.78495 + 1.94673i 0.567386 + 0.162794i
\(144\) 14.7069 1.22557
\(145\) −3.27135 12.2089i −0.271671 1.01389i
\(146\) −0.0998797 0.0576656i −0.00826610 0.00477244i
\(147\) 2.82579 17.9701i 0.233067 1.48215i
\(148\) 3.97356 + 3.97356i 0.326624 + 0.326624i
\(149\) 4.00070 14.9308i 0.327750 1.22318i −0.583768 0.811921i \(-0.698422\pi\)
0.911518 0.411260i \(-0.134911\pi\)
\(150\) −0.147862 + 0.551828i −0.0120729 + 0.0450566i
\(151\) 3.12599 3.12599i 0.254390 0.254390i −0.568378 0.822768i \(-0.692429\pi\)
0.822768 + 0.568378i \(0.192429\pi\)
\(152\) 1.72026 0.993190i 0.139531 0.0805583i
\(153\) 8.02854 13.9058i 0.649069 1.12422i
\(154\) 0.0471139 0.602907i 0.00379655 0.0485837i
\(155\) 7.55609i 0.606920i
\(156\) −9.58835 + 15.9519i −0.767682 + 1.27718i
\(157\) 6.93064i 0.553125i 0.960996 + 0.276563i \(0.0891953\pi\)
−0.960996 + 0.276563i \(0.910805\pi\)
\(158\) 0.669569 0.179410i 0.0532680 0.0142731i
\(159\) −9.62768 5.55854i −0.763525 0.440821i
\(160\) −1.22557 2.12274i −0.0968896 0.167818i
\(161\) 7.29389 + 15.2702i 0.574839 + 1.20346i
\(162\) −0.186527 + 0.696129i −0.0146550 + 0.0546931i
\(163\) −12.4944 3.34785i −0.978634 0.262224i −0.266165 0.963928i \(-0.585757\pi\)
−0.712469 + 0.701703i \(0.752423\pi\)
\(164\) 16.0039 + 16.0039i 1.24969 + 1.24969i
\(165\) −4.49112 7.77885i −0.349633 0.605583i
\(166\) −0.815404 + 1.41232i −0.0632876 + 0.109617i
\(167\) −0.900490 + 0.241286i −0.0696820 + 0.0186712i −0.293492 0.955962i \(-0.594817\pi\)
0.223810 + 0.974633i \(0.428151\pi\)
\(168\) 3.01707 + 1.06652i 0.232772 + 0.0822839i
\(169\) −6.09946 11.4803i −0.469189 0.883098i
\(170\) −0.881858 −0.0676355
\(171\) 4.14593 + 15.4728i 0.317047 + 1.18324i
\(172\) 1.78027 3.08352i 0.135744 0.235116i
\(173\) −0.263780 0.456880i −0.0200548 0.0347360i 0.855824 0.517267i \(-0.173051\pi\)
−0.875879 + 0.482531i \(0.839717\pi\)
\(174\) −1.53592 + 1.53592i −0.116438 + 0.116438i
\(175\) 2.81942 4.10715i 0.213128 0.310471i
\(176\) −7.40979 1.98545i −0.558534 0.149659i
\(177\) 3.10051 3.10051i 0.233049 0.233049i
\(178\) 0.812555 0.469129i 0.0609036 0.0351627i
\(179\) 7.16206 + 4.13502i 0.535317 + 0.309066i 0.743179 0.669093i \(-0.233317\pi\)
−0.207862 + 0.978158i \(0.566650\pi\)
\(180\) 12.7142 3.40676i 0.947660 0.253925i
\(181\) 14.9785 1.11334 0.556672 0.830732i \(-0.312078\pi\)
0.556672 + 0.830732i \(0.312078\pi\)
\(182\) −0.859124 + 0.708775i −0.0636825 + 0.0525379i
\(183\) −8.01075 −0.592171
\(184\) −2.87550 + 0.770488i −0.211985 + 0.0568011i
\(185\) 4.32553 + 2.49734i 0.318019 + 0.183608i
\(186\) −1.12456 + 0.649263i −0.0824565 + 0.0476063i
\(187\) −5.92234 + 5.92234i −0.433085 + 0.433085i
\(188\) 12.7169 + 3.40748i 0.927475 + 0.248516i
\(189\) −2.93118 + 4.26996i −0.213212 + 0.310594i
\(190\) 0.622076 0.622076i 0.0451301 0.0451301i
\(191\) 7.26461 + 12.5827i 0.525649 + 0.910450i 0.999554 + 0.0298741i \(0.00951063\pi\)
−0.473905 + 0.880576i \(0.657156\pi\)
\(192\) 9.97216 17.2723i 0.719678 1.24652i
\(193\) 5.06711 + 18.9107i 0.364738 + 1.36122i 0.867775 + 0.496957i \(0.165549\pi\)
−0.503037 + 0.864265i \(0.667784\pi\)
\(194\) −1.72456 −0.123816
\(195\) −4.56229 + 15.9010i −0.326712 + 1.13869i
\(196\) −10.8156 8.73846i −0.772541 0.624176i
\(197\) −21.0175 + 5.63163i −1.49744 + 0.401237i −0.912240 0.409655i \(-0.865649\pi\)
−0.585196 + 0.810892i \(0.698982\pi\)
\(198\) −0.428948 + 0.742960i −0.0304840 + 0.0527999i
\(199\) −9.64065 16.6981i −0.683408 1.18370i −0.973934 0.226830i \(-0.927164\pi\)
0.290527 0.956867i \(-0.406170\pi\)
\(200\) 0.619676 + 0.619676i 0.0438177 + 0.0438177i
\(201\) 0.0494742 + 0.0132566i 0.00348964 + 0.000935047i
\(202\) 0.483778 1.80548i 0.0340385 0.127033i
\(203\) 17.0915 8.16384i 1.19959 0.572989i
\(204\) −11.0419 19.1251i −0.773085 1.33902i
\(205\) 17.4215 + 10.0583i 1.21677 + 0.702501i
\(206\) 1.33245 0.357029i 0.0928363 0.0248754i
\(207\) 24.0067i 1.66858i
\(208\) 6.84741 + 12.3577i 0.474782 + 0.856853i
\(209\) 8.35542i 0.577957i
\(210\) 1.41295 + 0.110415i 0.0975031 + 0.00761934i
\(211\) 1.51130 2.61764i 0.104042 0.180206i −0.809304 0.587389i \(-0.800156\pi\)
0.913346 + 0.407184i \(0.133489\pi\)
\(212\) −7.35909 + 4.24877i −0.505424 + 0.291807i
\(213\) −8.74050 + 8.74050i −0.598889 + 0.598889i
\(214\) 0.241476 0.901200i 0.0165070 0.0616048i
\(215\) 0.819079 3.05685i 0.0558607 0.208475i
\(216\) −0.644241 0.644241i −0.0438350 0.0438350i
\(217\) 11.1325 2.06967i 0.755726 0.140498i
\(218\) 1.25212 + 0.722910i 0.0848040 + 0.0489616i
\(219\) −0.664401 2.47958i −0.0448961 0.167554i
\(220\) −6.86574 −0.462888
\(221\) 15.4227 + 0.271670i 1.03744 + 0.0182745i
\(222\) 0.858345i 0.0576084i
\(223\) 1.13865 + 4.24949i 0.0762495 + 0.284567i 0.993514 0.113712i \(-0.0362742\pi\)
−0.917264 + 0.398279i \(0.869608\pi\)
\(224\) 2.79179 2.38709i 0.186534 0.159494i
\(225\) −6.12033 + 3.53357i −0.408022 + 0.235571i
\(226\) −0.705396 0.705396i −0.0469223 0.0469223i
\(227\) −3.95917 1.06086i −0.262780 0.0704116i 0.125024 0.992154i \(-0.460099\pi\)
−0.387803 + 0.921742i \(0.626766\pi\)
\(228\) 21.2802 + 5.70202i 1.40932 + 0.377625i
\(229\) 9.60039 + 9.60039i 0.634412 + 0.634412i 0.949171 0.314760i \(-0.101924\pi\)
−0.314760 + 0.949171i \(0.601924\pi\)
\(230\) −1.14182 + 0.659228i −0.0752892 + 0.0434682i
\(231\) 10.2306 8.74754i 0.673122 0.575546i
\(232\) 0.862385 + 3.21846i 0.0566183 + 0.211303i
\(233\) 16.3500i 1.07113i −0.844495 0.535563i \(-0.820100\pi\)
0.844495 0.535563i \(-0.179900\pi\)
\(234\) 1.53311 0.381988i 0.100223 0.0249713i
\(235\) 11.7018 0.763339
\(236\) −0.867456 3.23739i −0.0564666 0.210736i
\(237\) 13.3619 + 7.71452i 0.867951 + 0.501112i
\(238\) −0.241548 1.29926i −0.0156572 0.0842184i
\(239\) 6.11495 + 6.11495i 0.395543 + 0.395543i 0.876658 0.481115i \(-0.159768\pi\)
−0.481115 + 0.876658i \(0.659768\pi\)
\(240\) 4.65303 17.3653i 0.300352 1.12093i
\(241\) 3.47625 12.9736i 0.223925 0.835700i −0.758907 0.651199i \(-0.774266\pi\)
0.982832 0.184501i \(-0.0590670\pi\)
\(242\) −0.591711 + 0.591711i −0.0380366 + 0.0380366i
\(243\) −18.9779 + 10.9569i −1.21743 + 0.702885i
\(244\) −3.06158 + 5.30281i −0.195997 + 0.339478i
\(245\) −11.2958 5.01422i −0.721660 0.320347i
\(246\) 3.45707i 0.220414i
\(247\) −11.0710 + 10.6877i −0.704432 + 0.680045i
\(248\) 1.99192i 0.126487i
\(249\) −35.0618 + 9.39478i −2.22195 + 0.595370i
\(250\) 1.22870 + 0.709393i 0.0777101 + 0.0448659i
\(251\) −1.74301 3.01899i −0.110018 0.190557i 0.805759 0.592243i \(-0.201758\pi\)
−0.915777 + 0.401686i \(0.868424\pi\)
\(252\) 8.50175 + 17.7989i 0.535560 + 1.12123i
\(253\) −3.24095 + 12.0954i −0.203756 + 0.760430i
\(254\) 0.689501 + 0.184751i 0.0432631 + 0.0115923i
\(255\) −13.8794 13.8794i −0.869163 0.869163i
\(256\) −7.46030 12.9216i −0.466269 0.807601i
\(257\) 6.72396 11.6462i 0.419429 0.726472i −0.576453 0.817130i \(-0.695564\pi\)
0.995882 + 0.0906578i \(0.0288970\pi\)
\(258\) −0.525324 + 0.140760i −0.0327052 + 0.00876334i
\(259\) −2.49459 + 7.05692i −0.155006 + 0.438496i
\(260\) 8.78223 + 9.09717i 0.544651 + 0.564183i
\(261\) −26.8701 −1.66322
\(262\) −0.174187 0.650076i −0.0107613 0.0401618i
\(263\) −10.2679 + 17.7846i −0.633147 + 1.09664i 0.353757 + 0.935337i \(0.384904\pi\)
−0.986904 + 0.161306i \(0.948430\pi\)
\(264\) 1.18394 + 2.05064i 0.0728663 + 0.126208i
\(265\) −5.34063 + 5.34063i −0.328072 + 0.328072i
\(266\) 1.08691 + 0.746125i 0.0666426 + 0.0457479i
\(267\) 20.1722 + 5.40513i 1.23452 + 0.330788i
\(268\) 0.0276836 0.0276836i 0.00169104 0.00169104i
\(269\) −9.29875 + 5.36864i −0.566955 + 0.327332i −0.755932 0.654650i \(-0.772816\pi\)
0.188977 + 0.981981i \(0.439483\pi\)
\(270\) −0.349454 0.201757i −0.0212671 0.0122786i
\(271\) −1.44767 + 0.387901i −0.0879396 + 0.0235633i −0.302521 0.953143i \(-0.597828\pi\)
0.214581 + 0.976706i \(0.431161\pi\)
\(272\) −16.7635 −1.01643
\(273\) −24.6769 2.36630i −1.49351 0.143215i
\(274\) 0.732712 0.0442647
\(275\) 3.56065 0.954075i 0.214716 0.0575329i
\(276\) −28.5937 16.5086i −1.72114 0.993699i
\(277\) 4.07919 2.35512i 0.245095 0.141506i −0.372421 0.928064i \(-0.621472\pi\)
0.617516 + 0.786558i \(0.288139\pi\)
\(278\) 1.72845 1.72845i 0.103666 0.103666i
\(279\) −15.5160 4.15749i −0.928916 0.248902i
\(280\) 1.23041 1.79238i 0.0735308 0.107115i
\(281\) 8.01227 8.01227i 0.477972 0.477972i −0.426511 0.904483i \(-0.640257\pi\)
0.904483 + 0.426511i \(0.140257\pi\)
\(282\) −1.00548 1.74155i −0.0598757 0.103708i
\(283\) −3.93934 + 6.82313i −0.234169 + 0.405593i −0.959031 0.283301i \(-0.908570\pi\)
0.724862 + 0.688894i \(0.241904\pi\)
\(284\) 2.44540 + 9.12636i 0.145108 + 0.541550i
\(285\) 19.5815 1.15991
\(286\) −0.824001 0.0145147i −0.0487242 0.000858275i
\(287\) −10.0472 + 28.4224i −0.593067 + 1.67772i
\(288\) −5.03325 + 1.34865i −0.296587 + 0.0794703i
\(289\) −0.651246 + 1.12799i −0.0383086 + 0.0663525i
\(290\) 0.737855 + 1.27800i 0.0433284 + 0.0750469i
\(291\) −27.1426 27.1426i −1.59113 1.59113i
\(292\) −1.89531 0.507847i −0.110915 0.0297195i
\(293\) 3.16216 11.8013i 0.184735 0.689442i −0.809952 0.586497i \(-0.800507\pi\)
0.994687 0.102945i \(-0.0328267\pi\)
\(294\) 0.224343 + 2.11198i 0.0130839 + 0.123173i
\(295\) −1.48948 2.57986i −0.0867210 0.150205i
\(296\) −1.14028 0.658343i −0.0662776 0.0382654i
\(297\) −3.70180 + 0.991894i −0.214800 + 0.0575556i
\(298\) 1.80472i 0.104545i
\(299\) 20.1721 11.1774i 1.16658 0.646404i
\(300\) 9.71963i 0.561163i
\(301\) 4.72806 + 0.369472i 0.272521 + 0.0212960i
\(302\) −0.258073 + 0.446996i −0.0148504 + 0.0257217i
\(303\) 36.0303 20.8021i 2.06989 1.19505i
\(304\) 11.8252 11.8252i 0.678221 0.678221i
\(305\) −1.40859 + 5.25694i −0.0806558 + 0.301011i
\(306\) −0.485213 + 1.81084i −0.0277378 + 0.103519i
\(307\) −7.97207 7.97207i −0.454990 0.454990i 0.442017 0.897007i \(-0.354263\pi\)
−0.897007 + 0.442017i \(0.854263\pi\)
\(308\) −1.88058 10.1154i −0.107156 0.576380i
\(309\) 26.5904 + 15.3520i 1.51268 + 0.873345i
\(310\) 0.228330 + 0.852140i 0.0129683 + 0.0483983i
\(311\) −13.0428 −0.739588 −0.369794 0.929114i \(-0.620572\pi\)
−0.369794 + 0.929114i \(0.620572\pi\)
\(312\) 1.20270 4.19178i 0.0680894 0.237313i
\(313\) 3.57391i 0.202009i −0.994886 0.101005i \(-0.967794\pi\)
0.994886 0.101005i \(-0.0322057\pi\)
\(314\) −0.209430 0.781604i −0.0118188 0.0441085i
\(315\) 11.3936 + 13.3252i 0.641955 + 0.750791i
\(316\) 10.2134 5.89673i 0.574551 0.331717i
\(317\) 23.4565 + 23.4565i 1.31745 + 1.31745i 0.915788 + 0.401662i \(0.131567\pi\)
0.401662 + 0.915788i \(0.368433\pi\)
\(318\) 1.25373 + 0.335936i 0.0703058 + 0.0188384i
\(319\) 13.5380 + 3.62750i 0.757983 + 0.203101i
\(320\) −9.58121 9.58121i −0.535606 0.535606i
\(321\) 17.9844 10.3833i 1.00379 0.579539i
\(322\) −1.28401 1.50169i −0.0715548 0.0836860i
\(323\) −4.72570 17.6366i −0.262945 0.981324i
\(324\) 12.2613i 0.681183i
\(325\) −5.81873 3.49751i −0.322765 0.194007i
\(326\) 1.51022 0.0836434
\(327\) 8.32910 + 31.0846i 0.460600 + 1.71898i
\(328\) −4.59260 2.65154i −0.253584 0.146407i
\(329\) 3.20520 + 17.2404i 0.176708 + 0.950495i
\(330\) 0.741549 + 0.741549i 0.0408209 + 0.0408209i
\(331\) −0.245395 + 0.915826i −0.0134881 + 0.0503383i −0.972342 0.233562i \(-0.924962\pi\)
0.958854 + 0.283900i \(0.0916285\pi\)
\(332\) −7.18106 + 26.8001i −0.394112 + 1.47085i
\(333\) 7.50812 7.50812i 0.411442 0.411442i
\(334\) 0.0942618 0.0544221i 0.00515778 0.00297784i
\(335\) 0.0173989 0.0301357i 0.000950602 0.00164649i
\(336\) 26.8592 + 2.09890i 1.46529 + 0.114504i
\(337\) 14.1901i 0.772982i −0.922293 0.386491i \(-0.873687\pi\)
0.922293 0.386491i \(-0.126313\pi\)
\(338\) 1.03478 + 1.11038i 0.0562846 + 0.0603965i
\(339\) 22.2042i 1.20597i
\(340\) −14.4921 + 3.88316i −0.785947 + 0.210594i
\(341\) 7.25617 + 4.18935i 0.392944 + 0.226866i
\(342\) −0.935117 1.61967i −0.0505654 0.0875818i
\(343\) 4.29355 18.0157i 0.231830 0.972756i
\(344\) −0.215923 + 0.805837i −0.0116418 + 0.0434478i
\(345\) −28.3463 7.59538i −1.52612 0.408921i
\(346\) 0.0435539 + 0.0435539i 0.00234147 + 0.00234147i
\(347\) −6.92103 11.9876i −0.371540 0.643527i 0.618262 0.785972i \(-0.287837\pi\)
−0.989803 + 0.142445i \(0.954504\pi\)
\(348\) −18.4776 + 32.0041i −0.990502 + 1.71560i
\(349\) 14.7875 3.96231i 0.791559 0.212098i 0.159684 0.987168i \(-0.448952\pi\)
0.631875 + 0.775071i \(0.282286\pi\)
\(350\) −0.193851 + 0.548382i −0.0103617 + 0.0293123i
\(351\) 6.04939 + 3.63615i 0.322892 + 0.194084i
\(352\) 2.71798 0.144869
\(353\) −4.07649 15.2137i −0.216970 0.809742i −0.985464 0.169885i \(-0.945660\pi\)
0.768494 0.639857i \(-0.221006\pi\)
\(354\) −0.255970 + 0.443353i −0.0136046 + 0.0235639i
\(355\) 4.19892 + 7.27274i 0.222856 + 0.385997i
\(356\) 11.2875 11.2875i 0.598235 0.598235i
\(357\) 16.6471 24.2505i 0.881060 1.28347i
\(358\) −0.932655 0.249904i −0.0492924 0.0132078i
\(359\) −4.68787 + 4.68787i −0.247416 + 0.247416i −0.819910 0.572493i \(-0.805976\pi\)
0.572493 + 0.819910i \(0.305976\pi\)
\(360\) −2.67093 + 1.54206i −0.140771 + 0.0812739i
\(361\) −0.679814 0.392491i −0.0357797 0.0206574i
\(362\) −1.68920 + 0.452621i −0.0887826 + 0.0237892i
\(363\) −18.6257 −0.977594
\(364\) −10.9975 + 15.4308i −0.576427 + 0.808794i
\(365\) −1.74402 −0.0912859
\(366\) 0.903414 0.242069i 0.0472222 0.0126531i
\(367\) 28.4547 + 16.4284i 1.48533 + 0.857553i 0.999860 0.0167033i \(-0.00531706\pi\)
0.485465 + 0.874256i \(0.338650\pi\)
\(368\) −21.7051 + 12.5314i −1.13145 + 0.653246i
\(369\) 30.2396 30.2396i 1.57421 1.57421i
\(370\) −0.563277 0.150930i −0.0292834 0.00784646i
\(371\) −9.33128 6.40561i −0.484456 0.332563i
\(372\) −15.6216 + 15.6216i −0.809943 + 0.809943i
\(373\) −3.93986 6.82405i −0.203998 0.353336i 0.745815 0.666153i \(-0.232060\pi\)
−0.949813 + 0.312818i \(0.898727\pi\)
\(374\) 0.488932 0.846855i 0.0252821 0.0437899i
\(375\) 8.17336 + 30.5034i 0.422070 + 1.57519i
\(376\) −3.08478 −0.159086
\(377\) −12.5105 22.5781i −0.644324 1.16283i
\(378\) 0.201535 0.570120i 0.0103658 0.0293238i
\(379\) 10.8095 2.89639i 0.555245 0.148778i 0.0297243 0.999558i \(-0.490537\pi\)
0.525521 + 0.850781i \(0.323870\pi\)
\(380\) 7.48374 12.9622i 0.383908 0.664947i
\(381\) 7.94417 + 13.7597i 0.406992 + 0.704931i
\(382\) −1.19949 1.19949i −0.0613713 0.0613713i
\(383\) 2.32841 + 0.623897i 0.118976 + 0.0318796i 0.317816 0.948152i \(-0.397051\pi\)
−0.198840 + 0.980032i \(0.563717\pi\)
\(384\) −2.47025 + 9.21909i −0.126059 + 0.470460i
\(385\) −3.94153 8.25182i −0.200879 0.420552i
\(386\) −1.14289 1.97954i −0.0581715 0.100756i
\(387\) −5.82637 3.36386i −0.296171 0.170994i
\(388\) −28.3408 + 7.59389i −1.43879 + 0.385522i
\(389\) 16.8210i 0.852858i −0.904521 0.426429i \(-0.859771\pi\)
0.904521 0.426429i \(-0.140229\pi\)
\(390\) 0.0340163 1.93110i 0.00172248 0.0977852i
\(391\) 27.3638i 1.38385i
\(392\) 2.97776 + 1.32183i 0.150400 + 0.0667627i
\(393\) 7.48993 12.9729i 0.377817 0.654398i
\(394\) 2.20008 1.27022i 0.110838 0.0639926i
\(395\) 7.41208 7.41208i 0.372942 0.372942i
\(396\) −3.77764 + 14.0984i −0.189834 + 0.708469i
\(397\) −6.08873 + 22.7234i −0.305585 + 1.14046i 0.626856 + 0.779135i \(0.284341\pi\)
−0.932441 + 0.361322i \(0.882325\pi\)
\(398\) 1.59181 + 1.59181i 0.0797903 + 0.0797903i
\(399\) 5.36352 + 28.8498i 0.268512 + 1.44430i
\(400\) 6.38957 + 3.68902i 0.319479 + 0.184451i
\(401\) 2.23318 + 8.33434i 0.111520 + 0.416197i 0.999003 0.0446427i \(-0.0142149\pi\)
−0.887483 + 0.460840i \(0.847548\pi\)
\(402\) −0.00598005 −0.000298258
\(403\) −3.73071 14.9733i −0.185840 0.745872i
\(404\) 31.8009i 1.58216i
\(405\) 2.82063 + 10.5267i 0.140158 + 0.523078i
\(406\) −1.68080 + 1.43715i −0.0834168 + 0.0713246i
\(407\) −4.79644 + 2.76922i −0.237751 + 0.137265i
\(408\) 3.65885 + 3.65885i 0.181140 + 0.181140i
\(409\) −12.9780 3.47744i −0.641720 0.171948i −0.0767375 0.997051i \(-0.524450\pi\)
−0.564982 + 0.825103i \(0.691117\pi\)
\(410\) −2.26865 0.607883i −0.112041 0.0300212i
\(411\) 11.5320 + 11.5320i 0.568833 + 0.568833i
\(412\) 20.3249 11.7346i 1.00133 0.578121i
\(413\) 3.39297 2.90112i 0.166957 0.142755i
\(414\) 0.725437 + 2.70737i 0.0356533 + 0.133060i
\(415\) 24.6608i 1.21055i
\(416\) −3.47668 3.60136i −0.170458 0.176571i
\(417\) 54.4075 2.66435
\(418\) 0.252484 + 0.942285i 0.0123494 + 0.0460886i
\(419\) −15.0514 8.68991i −0.735308 0.424530i 0.0850532 0.996376i \(-0.472894\pi\)
−0.820361 + 0.571846i \(0.806227\pi\)
\(420\) 23.7062 4.40726i 1.15674 0.215052i
\(421\) −21.2490 21.2490i −1.03561 1.03561i −0.999342 0.0362722i \(-0.988452\pi\)
−0.0362722 0.999342i \(-0.511548\pi\)
\(422\) −0.0913368 + 0.340874i −0.00444621 + 0.0165935i
\(423\) 6.43850 24.0288i 0.313051 1.16832i
\(424\) 1.40788 1.40788i 0.0683727 0.0683727i
\(425\) 6.97619 4.02771i 0.338395 0.195372i
\(426\) 0.721591 1.24983i 0.0349612 0.0605546i
\(427\) −8.13097 0.635391i −0.393485 0.0307487i
\(428\) 15.8733i 0.767265i
\(429\) −12.7404 13.1973i −0.615111 0.637170i
\(430\) 0.369487i 0.0178183i
\(431\) 23.3087 6.24554i 1.12274 0.300837i 0.350748 0.936470i \(-0.385927\pi\)
0.771991 + 0.635633i \(0.219261\pi\)
\(432\) −6.64286 3.83525i −0.319605 0.184524i
\(433\) −2.27124 3.93391i −0.109149 0.189051i 0.806277 0.591538i \(-0.201479\pi\)
−0.915426 + 0.402487i \(0.868146\pi\)
\(434\) −1.19293 + 0.569811i −0.0572626 + 0.0273518i
\(435\) −8.50129 + 31.7273i −0.407606 + 1.52121i
\(436\) 23.7601 + 6.36649i 1.13790 + 0.304900i
\(437\) −19.3029 19.3029i −0.923381 0.923381i
\(438\) 0.149856 + 0.259558i 0.00716039 + 0.0124022i
\(439\) 8.50036 14.7231i 0.405700 0.702693i −0.588703 0.808350i \(-0.700361\pi\)
0.994403 + 0.105657i \(0.0336944\pi\)
\(440\) 1.55388 0.416362i 0.0740785 0.0198493i
\(441\) −16.5115 + 20.4362i −0.786262 + 0.973154i
\(442\) −1.74750 + 0.435405i −0.0831203 + 0.0207101i
\(443\) −36.6165 −1.73970 −0.869851 0.493315i \(-0.835785\pi\)
−0.869851 + 0.493315i \(0.835785\pi\)
\(444\) −3.77962 14.1057i −0.179373 0.669429i
\(445\) 7.09408 12.2873i 0.336292 0.582474i
\(446\) −0.256823 0.444830i −0.0121609 0.0210633i
\(447\) −28.4042 + 28.4042i −1.34347 + 1.34347i
\(448\) 11.4918 16.7405i 0.542937 0.790916i
\(449\) −32.7480 8.77481i −1.54547 0.414109i −0.617445 0.786614i \(-0.711832\pi\)
−0.928030 + 0.372505i \(0.878499\pi\)
\(450\) 0.583444 0.583444i 0.0275038 0.0275038i
\(451\) −19.3181 + 11.1533i −0.909654 + 0.525189i
\(452\) −14.6984 8.48610i −0.691353 0.399153i
\(453\) −11.0970 + 2.97342i −0.521381 + 0.139704i
\(454\) 0.478554 0.0224596
\(455\) −5.89199 + 15.7778i −0.276221 + 0.739674i
\(456\) −5.16202 −0.241734
\(457\) −2.18565 + 0.585644i −0.102241 + 0.0273953i −0.309577 0.950874i \(-0.600187\pi\)
0.207336 + 0.978270i \(0.433521\pi\)
\(458\) −1.37279 0.792582i −0.0641463 0.0370349i
\(459\) −7.25273 + 4.18737i −0.338528 + 0.195449i
\(460\) −15.8614 + 15.8614i −0.739540 + 0.739540i
\(461\) −24.5455 6.57694i −1.14320 0.306319i −0.362961 0.931804i \(-0.618234\pi\)
−0.780235 + 0.625486i \(0.784901\pi\)
\(462\) −0.889422 + 1.29565i −0.0413797 + 0.0602793i
\(463\) −22.6265 + 22.6265i −1.05154 + 1.05154i −0.0529442 + 0.998597i \(0.516861\pi\)
−0.998597 + 0.0529442i \(0.983139\pi\)
\(464\) 14.0261 + 24.2939i 0.651144 + 1.12781i
\(465\) −9.81804 + 17.0053i −0.455301 + 0.788604i
\(466\) 0.494066 + 1.84388i 0.0228871 + 0.0854160i
\(467\) −11.2941 −0.522627 −0.261314 0.965254i \(-0.584156\pi\)
−0.261314 + 0.965254i \(0.584156\pi\)
\(468\) 23.5126 13.0283i 1.08687 0.602235i
\(469\) 0.0491652 + 0.0173797i 0.00227024 + 0.000802520i
\(470\) −1.31967 + 0.353604i −0.0608718 + 0.0163105i
\(471\) 9.00535 15.5977i 0.414945 0.718705i
\(472\) 0.392653 + 0.680095i 0.0180733 + 0.0313039i
\(473\) 2.48139 + 2.48139i 0.114094 + 0.114094i
\(474\) −1.74001 0.466235i −0.0799215 0.0214149i
\(475\) −2.07991 + 7.76231i −0.0954326 + 0.356159i
\(476\) −9.69063 20.2879i −0.444169 0.929895i
\(477\) 8.02814 + 13.9051i 0.367583 + 0.636673i
\(478\) −0.874396 0.504833i −0.0399939 0.0230905i
\(479\) 19.3716 5.19059i 0.885109 0.237164i 0.212499 0.977161i \(-0.431840\pi\)
0.672610 + 0.739997i \(0.265173\pi\)
\(480\) 6.36978i 0.290739i
\(481\) 9.80456 + 2.81311i 0.447049 + 0.128267i
\(482\) 1.56814i 0.0714269i
\(483\) 3.42614 43.8436i 0.155895 1.99495i
\(484\) −7.11843 + 12.3295i −0.323565 + 0.560431i
\(485\) −22.5846 + 13.0392i −1.02551 + 0.592081i
\(486\) 1.80914 1.80914i 0.0820643 0.0820643i
\(487\) −8.13109 + 30.3456i −0.368455 + 1.37509i 0.494221 + 0.869336i \(0.335453\pi\)
−0.862676 + 0.505756i \(0.831213\pi\)
\(488\) 0.371329 1.38582i 0.0168093 0.0627331i
\(489\) 23.7691 + 23.7691i 1.07488 + 1.07488i
\(490\) 1.42540 + 0.224144i 0.0643931 + 0.0101258i
\(491\) −16.8341 9.71919i −0.759714 0.438621i 0.0694792 0.997583i \(-0.477866\pi\)
−0.829193 + 0.558962i \(0.811200\pi\)
\(492\) −15.2228 56.8122i −0.686296 2.56129i
\(493\) 30.6276 1.37940
\(494\) 0.925574 1.53986i 0.0416436 0.0692814i
\(495\) 12.9729i 0.583091i
\(496\) 4.34038 + 16.1985i 0.194889 + 0.727336i
\(497\) −9.56495 + 8.17841i −0.429047 + 0.366852i
\(498\) 3.67021 2.11900i 0.164466 0.0949545i
\(499\) 11.8051 + 11.8051i 0.528471 + 0.528471i 0.920116 0.391645i \(-0.128094\pi\)
−0.391645 + 0.920116i \(0.628094\pi\)
\(500\) 23.3158 + 6.24745i 1.04271 + 0.279394i
\(501\) 2.34011 + 0.627031i 0.104548 + 0.0280137i
\(502\) 0.287797 + 0.287797i 0.0128450 + 0.0128450i
\(503\) 25.9585 14.9871i 1.15743 0.668243i 0.206743 0.978395i \(-0.433713\pi\)
0.950687 + 0.310153i \(0.100380\pi\)
\(504\) −3.00354 3.51275i −0.133788 0.156471i
\(505\) −7.31560 27.3022i −0.325540 1.21493i
\(506\) 1.46199i 0.0649935i
\(507\) −1.18981 + 33.7622i −0.0528413 + 1.49943i
\(508\) 12.1445 0.538827
\(509\) −3.62928 13.5446i −0.160865 0.600356i −0.998532 0.0541739i \(-0.982747\pi\)
0.837667 0.546182i \(-0.183919\pi\)
\(510\) 1.98466 + 1.14585i 0.0878824 + 0.0507389i
\(511\) −0.477699 2.56949i −0.0211322 0.113668i
\(512\) 6.42580 + 6.42580i 0.283983 + 0.283983i
\(513\) 2.16235 8.07001i 0.0954702 0.356300i
\(514\) −0.406370 + 1.51659i −0.0179242 + 0.0668940i
\(515\) 14.7501 14.7501i 0.649969 0.649969i
\(516\) −8.01316 + 4.62640i −0.352760 + 0.203666i
\(517\) −6.48785 + 11.2373i −0.285335 + 0.494215i
\(518\) 0.0680817 0.871228i 0.00299134 0.0382795i
\(519\) 1.37097i 0.0601791i
\(520\) −2.53932 1.52633i −0.111356 0.0669339i
\(521\) 0.875247i 0.0383452i 0.999816 + 0.0191726i \(0.00610321\pi\)
−0.999816 + 0.0191726i \(0.993897\pi\)
\(522\) 3.03028 0.811961i 0.132632 0.0355386i
\(523\) −11.7198 6.76640i −0.512469 0.295874i 0.221379 0.975188i \(-0.428944\pi\)
−0.733848 + 0.679314i \(0.762278\pi\)
\(524\) −5.72506 9.91610i −0.250100 0.433187i
\(525\) −11.6819 + 5.57991i −0.509839 + 0.243527i
\(526\) 0.620553 2.31593i 0.0270574 0.100980i
\(527\) 17.6857 + 4.73887i 0.770401 + 0.206428i
\(528\) 14.0963 + 14.0963i 0.613462 + 0.613462i
\(529\) 8.95568 + 15.5117i 0.389377 + 0.674421i
\(530\) 0.440907 0.763674i 0.0191518 0.0331719i
\(531\) −6.11711 + 1.63908i −0.265460 + 0.0711298i
\(532\) 21.1473 + 7.47548i 0.916853 + 0.324103i
\(533\) 39.4888 + 11.3301i 1.71045 + 0.490759i
\(534\) −2.43826 −0.105514
\(535\) −3.65155 13.6278i −0.157870 0.589180i
\(536\) −0.00458664 + 0.00794430i −0.000198113 + 0.000343141i
\(537\) −10.7457 18.6121i −0.463711 0.803171i
\(538\) 0.886440 0.886440i 0.0382171 0.0382171i
\(539\) 11.0779 8.06736i 0.477161 0.347486i
\(540\) −6.63121 1.77683i −0.285362 0.0764625i
\(541\) 8.68791 8.68791i 0.373522 0.373522i −0.495236 0.868758i \(-0.664918\pi\)
0.868758 + 0.495236i \(0.164918\pi\)
\(542\) 0.151539 0.0874914i 0.00650918 0.00375808i
\(543\) −33.7098 19.4624i −1.44663 0.835211i
\(544\) 5.73710 1.53725i 0.245976 0.0659091i
\(545\) 21.8634 0.936526
\(546\) 2.85445 0.478827i 0.122159 0.0204919i
\(547\) 16.2786 0.696022 0.348011 0.937490i \(-0.386857\pi\)
0.348011 + 0.937490i \(0.386857\pi\)
\(548\) 12.0411 3.22641i 0.514371 0.137825i
\(549\) 10.0198 + 5.78491i 0.427633 + 0.246894i
\(550\) −0.372723 + 0.215192i −0.0158930 + 0.00917582i
\(551\) −21.6051 + 21.6051i −0.920410 + 0.920410i
\(552\) 7.47258 + 2.00227i 0.318054 + 0.0852224i
\(553\) 12.9506 + 8.89013i 0.550715 + 0.378047i
\(554\) −0.388865 + 0.388865i −0.0165213 + 0.0165213i
\(555\) −6.48987 11.2408i −0.275480 0.477145i
\(556\) 20.7937 36.0157i 0.881849 1.52741i
\(557\) 2.13873 + 7.98185i 0.0906210 + 0.338202i 0.996319 0.0857210i \(-0.0273194\pi\)
−0.905698 + 0.423923i \(0.860653\pi\)
\(558\) 1.87545 0.0793940
\(559\) 0.113826 6.46190i 0.00481433 0.273309i
\(560\) 6.10024 17.2569i 0.257782 0.729237i
\(561\) 21.0237 5.63329i 0.887623 0.237838i
\(562\) −0.661470 + 1.14570i −0.0279024 + 0.0483285i
\(563\) 14.0767 + 24.3815i 0.593261 + 1.02756i 0.993790 + 0.111274i \(0.0354932\pi\)
−0.400528 + 0.916284i \(0.631173\pi\)
\(564\) −24.1924 24.1924i −1.01869 1.01869i
\(565\) −14.5712 3.90435i −0.613016 0.164257i
\(566\) 0.238078 0.888519i 0.0100072 0.0373472i
\(567\) −14.7366 + 7.03904i −0.618881 + 0.295612i
\(568\) −1.10691 1.91722i −0.0464448 0.0804447i
\(569\) −8.62645 4.98048i −0.361640 0.208793i 0.308160 0.951335i \(-0.400287\pi\)
−0.669800 + 0.742542i \(0.733620\pi\)
\(570\) −2.20831 + 0.591715i −0.0924959 + 0.0247842i
\(571\) 5.15214i 0.215610i −0.994172 0.107805i \(-0.965618\pi\)
0.994172 0.107805i \(-0.0343823\pi\)
\(572\) −13.6052 + 3.38986i −0.568864 + 0.141737i
\(573\) 37.7572i 1.57733i
\(574\) 0.274205 3.50895i 0.0114451 0.146461i
\(575\) 6.02177 10.4300i 0.251125 0.434962i
\(576\) −24.9461 + 14.4027i −1.03942 + 0.600111i
\(577\) −9.50342 + 9.50342i −0.395633 + 0.395633i −0.876689 0.481057i \(-0.840253\pi\)
0.481057 + 0.876689i \(0.340253\pi\)
\(578\) 0.0393588 0.146889i 0.00163711 0.00610978i
\(579\) 13.1679 49.1434i 0.547240 2.04233i
\(580\) 17.7532 + 17.7532i 0.737161 + 0.737161i
\(581\) −36.3332 + 6.75477i −1.50735 + 0.280235i
\(582\) 3.88120 + 2.24081i 0.160881 + 0.0928847i
\(583\) −2.16762 8.08967i −0.0897737 0.335040i
\(584\) 0.459752 0.0190247
\(585\) 17.1893 16.5942i 0.710690 0.686085i
\(586\) 1.42645i 0.0589263i
\(587\) 9.73498 + 36.3314i 0.401806 + 1.49956i 0.809872 + 0.586607i \(0.199537\pi\)
−0.408066 + 0.912952i \(0.633797\pi\)
\(588\) 12.9866 + 33.7196i 0.535558 + 1.39057i
\(589\) −15.8186 + 9.13289i −0.651795 + 0.376314i
\(590\) 0.245935 + 0.245935i 0.0101250 + 0.0101250i
\(591\) 54.6184 + 14.6350i 2.24670 + 0.602001i
\(592\) −10.7075 2.86906i −0.440074 0.117918i
\(593\) 25.8396 + 25.8396i 1.06110 + 1.06110i 0.998007 + 0.0630974i \(0.0200979\pi\)
0.0630974 + 0.998007i \(0.479902\pi\)
\(594\) 0.387498 0.223722i 0.0158992 0.00917944i
\(595\) −12.9868 15.1886i −0.532409 0.622672i
\(596\) 7.94687 + 29.6581i 0.325517 + 1.21484i
\(597\) 50.1065i 2.05072i
\(598\) −1.93716 + 1.87009i −0.0792162 + 0.0764738i
\(599\) 5.32027 0.217381 0.108690 0.994076i \(-0.465334\pi\)
0.108690 + 0.994076i \(0.465334\pi\)
\(600\) −0.589432 2.19979i −0.0240635 0.0898061i
\(601\) −21.4564 12.3879i −0.875225 0.505312i −0.00614424 0.999981i \(-0.501956\pi\)
−0.869081 + 0.494669i \(0.835289\pi\)
\(602\) −0.544373 + 0.101205i −0.0221870 + 0.00412482i
\(603\) −0.0523087 0.0523087i −0.00213017 0.00213017i
\(604\) −2.27279 + 8.48216i −0.0924785 + 0.345134i
\(605\) −3.27510 + 12.2228i −0.133152 + 0.496929i
\(606\) −3.43473 + 3.43473i −0.139526 + 0.139526i
\(607\) 19.5367 11.2795i 0.792971 0.457822i −0.0480365 0.998846i \(-0.515296\pi\)
0.841007 + 0.541024i \(0.181963\pi\)
\(608\) −2.96263 + 5.13143i −0.120151 + 0.208107i
\(609\) −49.0729 3.83478i −1.98854 0.155393i
\(610\) 0.635418i 0.0257273i
\(611\) 23.1884 5.77758i 0.938102 0.233736i
\(612\) 31.8953i 1.28929i
\(613\) −22.2201 + 5.95385i −0.897459 + 0.240474i −0.677925 0.735131i \(-0.737121\pi\)
−0.219535 + 0.975605i \(0.570454\pi\)
\(614\) 1.13995 + 0.658151i 0.0460047 + 0.0265608i
\(615\) −26.1385 45.2733i −1.05401 1.82560i
\(616\) 1.03905 + 2.17532i 0.0418647 + 0.0876462i
\(617\) 7.79350 29.0858i 0.313755 1.17095i −0.611389 0.791330i \(-0.709389\pi\)
0.925143 0.379618i \(-0.123945\pi\)
\(618\) −3.46265 0.927815i −0.139288 0.0373222i
\(619\) 7.55579 + 7.55579i 0.303693 + 0.303693i 0.842457 0.538764i \(-0.181109\pi\)
−0.538764 + 0.842457i \(0.681109\pi\)
\(620\) 7.50459 + 12.9983i 0.301392 + 0.522026i
\(621\) −6.26048 + 10.8435i −0.251224 + 0.435133i
\(622\) 1.47090 0.394127i 0.0589778 0.0158031i
\(623\) 20.0462 + 7.08625i 0.803135 + 0.283905i
\(624\) 0.646624 36.7088i 0.0258857 1.46953i
\(625\) 12.0400 0.481599
\(626\) 0.107997 + 0.403049i 0.00431641 + 0.0161091i
\(627\) −10.8566 + 18.8043i −0.433573 + 0.750970i
\(628\) −6.88340 11.9224i −0.274678 0.475755i
\(629\) −8.55805 + 8.55805i −0.341232 + 0.341232i
\(630\) −1.68757 1.15846i −0.0672346 0.0461543i
\(631\) 13.6759 + 3.66444i 0.544428 + 0.145879i 0.520543 0.853836i \(-0.325730\pi\)
0.0238855 + 0.999715i \(0.492396\pi\)
\(632\) −1.95395 + 1.95395i −0.0777240 + 0.0777240i
\(633\) −6.80249 + 3.92742i −0.270375 + 0.156101i
\(634\) −3.35413 1.93651i −0.133209 0.0769085i
\(635\) 10.4265 2.79377i 0.413763 0.110867i
\(636\) 22.0826 0.875633
\(637\) −24.8596 4.35912i −0.984972 0.172715i
\(638\) −1.63637 −0.0647844
\(639\) 17.2444 4.62063i 0.682179 0.182789i
\(640\) 5.61554 + 3.24213i 0.221974 + 0.128157i
\(641\) −32.0667 + 18.5137i −1.26656 + 0.731248i −0.974335 0.225102i \(-0.927729\pi\)
−0.292224 + 0.956350i \(0.594395\pi\)
\(642\) −1.71443 + 1.71443i −0.0676632 + 0.0676632i
\(643\) −33.2886 8.91965i −1.31277 0.351757i −0.466507 0.884517i \(-0.654488\pi\)
−0.846266 + 0.532761i \(0.821155\pi\)
\(644\) −27.7134 19.0243i −1.09206 0.749662i
\(645\) −5.81530 + 5.81530i −0.228977 + 0.228977i
\(646\) 1.06588 + 1.84617i 0.0419366 + 0.0726364i
\(647\) 3.03363 5.25440i 0.119264 0.206572i −0.800212 0.599717i \(-0.795280\pi\)
0.919476 + 0.393145i \(0.128613\pi\)
\(648\) −0.743567 2.77503i −0.0292101 0.109013i
\(649\) 3.30328 0.129665
\(650\) 0.761896 + 0.218602i 0.0298840 + 0.00857428i
\(651\) −27.7435 9.80721i −1.08735 0.384375i
\(652\) 24.8184 6.65007i 0.971964 0.260437i
\(653\) −15.1009 + 26.1555i −0.590943 + 1.02354i 0.403162 + 0.915129i \(0.367911\pi\)
−0.994106 + 0.108416i \(0.965422\pi\)
\(654\) −1.87863 3.25389i −0.0734603 0.127237i
\(655\) −7.19630 7.19630i −0.281183 0.281183i
\(656\) −43.1253 11.5554i −1.68376 0.451162i
\(657\) −0.959586 + 3.58123i −0.0374370 + 0.139717i
\(658\) −0.882439 1.84744i −0.0344010 0.0720206i
\(659\) 4.37179 + 7.57216i 0.170301 + 0.294969i 0.938525 0.345211i \(-0.112193\pi\)
−0.768224 + 0.640181i \(0.778859\pi\)
\(660\) 15.4517 + 8.92102i 0.601455 + 0.347250i
\(661\) 17.3494 4.64874i 0.674812 0.180815i 0.0948903 0.995488i \(-0.469750\pi\)
0.579921 + 0.814673i \(0.303083\pi\)
\(662\) 0.110698i 0.00430239i
\(663\) −34.3564 20.6509i −1.33429 0.802015i
\(664\) 6.50100i 0.252288i
\(665\) 19.8754 + 1.55315i 0.770734 + 0.0602287i
\(666\) −0.619849 + 1.07361i −0.0240187 + 0.0416015i
\(667\) 39.6561 22.8955i 1.53549 0.886516i
\(668\) 1.30942 1.30942i 0.0506631 0.0506631i
\(669\) 2.95901 11.0432i 0.114402 0.426954i
\(670\) −0.00105152 + 0.00392433i −4.06238e−5 + 0.000151610i
\(671\) −4.26731 4.26731i −0.164738 0.164738i
\(672\) −9.38472 + 1.74473i −0.362023 + 0.0673045i
\(673\) 22.0524 + 12.7319i 0.850057 + 0.490780i 0.860670 0.509163i \(-0.170045\pi\)
−0.0106133 + 0.999944i \(0.503378\pi\)
\(674\) 0.428796 + 1.60029i 0.0165166 + 0.0616408i
\(675\) 3.68594 0.141872
\(676\) 21.8946 + 13.6910i 0.842100 + 0.526577i
\(677\) 21.8547i 0.839946i 0.907537 + 0.419973i \(0.137961\pi\)
−0.907537 + 0.419973i \(0.862039\pi\)
\(678\) 0.670968 + 2.50409i 0.0257684 + 0.0961689i
\(679\) −25.3970 29.7028i −0.974649 1.13989i
\(680\) 3.04444 1.75771i 0.116749 0.0674050i
\(681\) 7.53188 + 7.53188i 0.288622 + 0.288622i
\(682\) −0.944911 0.253188i −0.0361825 0.00969507i
\(683\) 30.9579 + 8.29515i 1.18457 + 0.317405i 0.796738 0.604324i \(-0.206557\pi\)
0.387833 + 0.921729i \(0.373224\pi\)
\(684\) −22.4994 22.4994i −0.860286 0.860286i
\(685\) 9.59550 5.53997i 0.366625 0.211671i
\(686\) 0.0601935 + 2.16147i 0.00229820 + 0.0825252i
\(687\) −9.13183 34.0804i −0.348401 1.30025i
\(688\) 7.02368i 0.267775i
\(689\) −7.94621 + 13.2199i −0.302726 + 0.503639i
\(690\) 3.42628 0.130436
\(691\) −7.27863 27.1642i −0.276892 1.03337i −0.954563 0.298010i \(-0.903677\pi\)
0.677671 0.735365i \(-0.262989\pi\)
\(692\) 0.907533 + 0.523964i 0.0344992 + 0.0199181i
\(693\) −19.1133 + 3.55339i −0.726054 + 0.134982i
\(694\) 1.14276 + 1.14276i 0.0433786 + 0.0433786i
\(695\) 9.56691 35.7042i 0.362894 1.35434i
\(696\) 2.24109 8.36385i 0.0849482 0.317031i
\(697\) −34.4683 + 34.4683i −1.30558 + 1.30558i
\(698\) −1.54794 + 0.893701i −0.0585902 + 0.0338271i
\(699\) −21.2445 + 36.7965i −0.803540 + 1.39177i
\(700\) −0.770936 + 9.86551i −0.0291386 + 0.372881i
\(701\) 41.8411i 1.58032i 0.612904 + 0.790158i \(0.290001\pi\)
−0.612904 + 0.790158i \(0.709999\pi\)
\(702\) −0.792098 0.227268i −0.0298958 0.00857766i
\(703\) 12.0740i 0.455378i
\(704\) 14.5131 3.88876i 0.546981 0.146563i
\(705\) −26.3354 15.2047i −0.991847 0.572643i
\(706\) 0.919455 + 1.59254i 0.0346041 + 0.0599361i
\(707\) 38.2210 18.2565i 1.43745 0.686606i
\(708\) −2.25426 + 8.41303i −0.0847204 + 0.316181i
\(709\) −36.1012 9.67328i −1.35581 0.363288i −0.493532 0.869727i \(-0.664295\pi\)
−0.862275 + 0.506440i \(0.830961\pi\)
\(710\) −0.693302 0.693302i −0.0260192 0.0260192i
\(711\) −11.1420 19.2985i −0.417857 0.723750i
\(712\) −1.87012 + 3.23914i −0.0700857 + 0.121392i
\(713\) 26.4417 7.08503i 0.990249 0.265336i
\(714\) −1.14458 + 3.23790i −0.0428349 + 0.121175i
\(715\) −10.9008 + 6.04011i −0.407665 + 0.225887i
\(716\) −16.4273 −0.613918
\(717\) −5.81649 21.7075i −0.217221 0.810680i
\(718\) 0.387018 0.670334i 0.0144434 0.0250166i
\(719\) 14.7469 + 25.5425i 0.549968 + 0.952573i 0.998276 + 0.0586936i \(0.0186935\pi\)
−0.448308 + 0.893879i \(0.647973\pi\)
\(720\) −18.3602 + 18.3602i −0.684246 + 0.684246i
\(721\) 25.7718 + 17.6915i 0.959794 + 0.658866i
\(722\) 0.0885265 + 0.0237206i 0.00329461 + 0.000882789i
\(723\) −24.6807 + 24.6807i −0.917886 + 0.917886i
\(724\) −25.7667 + 14.8764i −0.957612 + 0.552878i
\(725\) −11.6740 6.74000i −0.433562 0.250317i
\(726\) 2.10051 0.562831i 0.0779574 0.0208886i
\(727\) −3.04387 −0.112891 −0.0564455 0.998406i \(-0.517977\pi\)
−0.0564455 + 0.998406i \(0.517977\pi\)
\(728\) 1.55323 4.15929i 0.0575665 0.154154i
\(729\) 38.4293 1.42331
\(730\) 0.196682 0.0527007i 0.00727952 0.00195054i
\(731\) 6.64113 + 3.83426i 0.245631 + 0.141815i
\(732\) 13.7805 7.95615i 0.509340 0.294068i
\(733\) 0.928339 0.928339i 0.0342890 0.0342890i −0.689754 0.724043i \(-0.742282\pi\)
0.724043 + 0.689754i \(0.242282\pi\)
\(734\) −3.70542 0.992865i −0.136770 0.0366473i
\(735\) 18.9064 + 25.9619i 0.697374 + 0.957620i
\(736\) 6.27914 6.27914i 0.231452 0.231452i
\(737\) 0.0192931 + 0.0334166i 0.000710669 + 0.00123091i
\(738\) −2.49650 + 4.32406i −0.0918974 + 0.159171i
\(739\) −7.76649 28.9849i −0.285695 1.06623i −0.948330 0.317285i \(-0.897229\pi\)
0.662635 0.748942i \(-0.269438\pi\)
\(740\) −9.92129 −0.364714
\(741\) 38.8030 9.66809i 1.42546 0.355166i
\(742\) 1.24590 + 0.440421i 0.0457385 + 0.0161684i
\(743\) −39.4397 + 10.5678i −1.44690 + 0.387697i −0.894946 0.446175i \(-0.852786\pi\)
−0.551958 + 0.833872i \(0.686119\pi\)
\(744\) 2.58820 4.48290i 0.0948881 0.164351i
\(745\) 13.6453 + 23.6344i 0.499926 + 0.865897i
\(746\) 0.650528 + 0.650528i 0.0238175 + 0.0238175i
\(747\) 50.6393 + 13.5688i 1.85280 + 0.496455i
\(748\) 4.30591 16.0699i 0.157440 0.587573i
\(749\) 19.0779 9.11265i 0.697090 0.332969i
\(750\) −1.84350 3.19304i −0.0673153 0.116593i
\(751\) −31.0690 17.9377i −1.13372 0.654556i −0.188856 0.982005i \(-0.560478\pi\)
−0.944869 + 0.327448i \(0.893811\pi\)
\(752\) −25.0859 + 6.72175i −0.914789 + 0.245117i
\(753\) 9.05917i 0.330135i
\(754\) 2.09314 + 2.16820i 0.0762277 + 0.0789614i
\(755\) 7.80507i 0.284056i
\(756\) 0.801496 10.2566i 0.0291501 0.373028i
\(757\) −0.439138 + 0.760610i −0.0159607 + 0.0276448i −0.873895 0.486114i \(-0.838414\pi\)
0.857935 + 0.513759i \(0.171747\pi\)
\(758\) −1.13152 + 0.653282i −0.0410986 + 0.0237283i
\(759\) 23.0101 23.0101i 0.835213 0.835213i
\(760\) −0.907679 + 3.38750i −0.0329250 + 0.122878i
\(761\) −9.46773 + 35.3341i −0.343205 + 1.28086i 0.551490 + 0.834181i \(0.314059\pi\)
−0.894695 + 0.446677i \(0.852607\pi\)
\(762\) −1.31170 1.31170i −0.0475178 0.0475178i
\(763\) 5.98855 + 32.2118i 0.216800 + 1.16614i
\(764\) −24.9938 14.4302i −0.904245 0.522066i
\(765\) 7.33730 + 27.3832i 0.265281 + 0.990041i
\(766\) −0.281440 −0.0101689
\(767\) −4.22535 4.37687i −0.152568 0.158040i
\(768\) 38.7743i 1.39915i
\(769\) 7.85943 + 29.3318i 0.283418 + 1.05773i 0.949987 + 0.312288i \(0.101096\pi\)
−0.666569 + 0.745443i \(0.732238\pi\)
\(770\) 0.693860 + 0.811496i 0.0250050 + 0.0292443i
\(771\) −30.2652 + 17.4736i −1.08997 + 0.629297i
\(772\) −27.4985 27.4985i −0.989692 0.989692i
\(773\) −19.1599 5.13389i −0.689134 0.184653i −0.102776 0.994705i \(-0.532772\pi\)
−0.586359 + 0.810052i \(0.699439\pi\)