Properties

Label 91.2.bc.a.20.6
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 20.6
Character \(\chi\) \(=\) 91.20
Dual form 91.2.bc.a.41.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.112775 + 0.0302180i) q^{2} +(2.25055 + 1.29935i) q^{3} +(-1.72025 + 0.993184i) q^{4} +(1.24841 - 1.24841i) q^{5} +(-0.293070 - 0.0785278i) q^{6} +(-2.63771 + 0.206123i) q^{7} +(0.329103 - 0.329103i) q^{8} +(1.87664 + 3.25044i) q^{9} +O(q^{10})\) \(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} +(-2.63771 + 0.206123i) 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} +(-6.20412 - 2.96343i) 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} +(4.33279 - 2.97431i) 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} +(-3.03563 + 3.55028i) 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} +(0.789220 + 0.146725i) 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} +(6.91503 - 1.08738i) 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} +(-0.800244 + 0.935915i) 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} +(-5.62002 - 8.18690i) 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} +(0.235061 - 0.492115i) 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} +(13.6158 - 1.06400i) 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} +(-4.26255 + 8.53409i) 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} +(-0.746985 + 0.331588i) 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 0.980292 0.197552i \(-0.0632990\pi\)
0.319062 + 0.947734i \(0.396632\pi\)
\(4\) −1.72025 + 0.993184i −0.860123 + 0.496592i
\(5\) 1.24841 1.24841i 0.558308 0.558308i −0.370518 0.928825i \(-0.620820\pi\)
0.928825 + 0.370518i \(0.120820\pi\)
\(6\) −0.293070 0.0785278i −0.119645 0.0320589i
\(7\) −2.63771 + 0.206123i −0.996961 + 0.0779070i
\(8\) 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 \(0.00695471\pi\)
−0.480960 + 0.876742i \(0.659712\pi\)
\(18\) −0.309861 0.309861i −0.0730348 0.0730348i
\(19\) −4.12248 1.10462i −0.945762 0.253416i −0.247199 0.968965i \(-0.579510\pi\)
−0.698563 + 0.715549i \(0.746177\pi\)
\(20\) −0.907674 + 3.38749i −0.202962 + 0.757465i
\(21\) −6.20412 2.96343i −1.35385 0.646673i
\(22\) 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
\(28\) 4.33279 2.97431i 0.818821 0.562092i
\(29\) −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 −0.381028 0.924563i \(-0.624430\pi\)
0.924563 + 0.381028i \(0.124430\pi\)
\(32\) −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
\(35\) −3.03563 + 3.55028i −0.513115 + 0.600107i
\(36\) −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 \(0.265774\pi\)
−0.210654 + 0.977561i \(0.567559\pi\)
\(42\) 0.789220 + 0.146725i 0.121779 + 0.0226402i
\(43\) −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 0.960814 0.277196i \(-0.0894050\pi\)
−0.277196 + 0.960814i \(0.589405\pi\)
\(48\) 8.81854 5.09139i 1.27285 0.734878i
\(49\) 6.91503 1.08738i 0.987861 0.155340i
\(50\) −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
\(56\) −0.800244 + 0.935915i −0.106937 + 0.125067i
\(57\) −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 −0.931655 0.363344i \(-0.881635\pi\)
0.988509 + 0.151162i \(0.0483015\pi\)
\(60\) −6.44431 + 6.44431i −0.831956 + 0.831956i
\(61\) −2.66960 + 1.54129i −0.341807 + 0.197342i −0.661071 0.750323i \(-0.729898\pi\)
0.319264 + 0.947666i \(0.396564\pi\)
\(62\) −0.249841 + 0.432737i −0.0317298 + 0.0549577i
\(63\) −5.62002 8.18690i −0.708057 1.03145i
\(64\) 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
\(70\) 0.235061 0.492115i 0.0280952 0.0588189i
\(71\) 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 0.665048 0.746800i \(-0.268411\pi\)
−0.746800 + 0.665048i \(0.768411\pi\)
\(74\) 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 \(0.528049\pi\)
−0.996120 + 0.0880033i \(0.971951\pi\)
\(84\) 13.6158 1.06400i 1.48561 0.116092i
\(85\) 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 0.177237 0.984168i \(-0.443284\pi\)
0.645576 + 0.763696i \(0.276617\pi\)
\(90\) −0.773669 −0.0815519
\(91\) −4.26255 + 8.53409i −0.446836 + 0.894616i
\(92\) 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 −0.553102 0.833113i \(-0.686556\pi\)
−0.895557 + 0.444946i \(0.853223\pi\)
\(98\) −0.746985 + 0.331588i −0.0754569 + 0.0334955i
\(99\) 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 \(-0.540012\pi\)
0.921878 0.387480i \(-0.126654\pi\)
\(102\) −0.335953 1.25379i −0.0332643 0.124144i
\(103\) 11.8151 1.16418 0.582088 0.813126i \(-0.302236\pi\)
0.582088 + 0.813126i \(0.302236\pi\)
\(104\) −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
\(112\) −4.46833 + 9.35472i −0.422218 + 0.883938i
\(113\) 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
\(119\) −6.40593 9.33175i −0.587230 0.855440i
\(120\) 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
\(126\) 0.881192 + 0.753453i 0.0785028 + 0.0671229i
\(127\) −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 \(-0.918972\pi\)
0.967775 0.251817i \(-0.0810280\pi\)
\(132\) 2.61557 + 9.76146i 0.227657 + 0.849626i
\(133\) 11.1016 + 2.06392i 0.962630 + 0.178964i
\(134\) 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 \(-0.318830\pi\)
0.998962 0.0455477i \(-0.0145033\pi\)
\(140\) 1.69594 9.12229i 0.143333 0.770975i
\(141\) 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
\(147\) 16.9755 + 6.53786i 1.40011 + 0.539234i
\(148\) 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
\(154\) −0.342256 0.498576i −0.0275797 0.0401764i
\(155\) 7.55609i 0.606920i
\(156\) −9.58835 + 15.9519i −0.767682 + 1.27718i
\(157\) 6.93064i 0.553125i −0.960996 0.276563i \(-0.910805\pi\)
0.960996 0.276563i \(-0.0891953\pi\)
\(158\) 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
\(161\) 15.2702 + 7.29389i 1.20346 + 0.574839i
\(162\) −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 −0.223810 0.974633i \(-0.571849\pi\)
0.293492 + 0.955962i \(0.405183\pi\)
\(168\) −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 0.875879 0.482531i \(-0.160283\pi\)
−0.855824 + 0.517267i \(0.826949\pi\)
\(174\) 1.53592 1.53592i 0.116438 0.116438i
\(175\) −0.388113 4.96660i −0.0293386 0.375440i
\(176\) −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 \(-0.687922\pi\)
−0.556672 + 0.830732i \(0.687922\pi\)
\(182\) 0.222826 1.09124i 0.0165170 0.0808881i
\(183\) −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
\(189\) −0.403498 5.16348i −0.0293502 0.375588i
\(190\) 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 \(0.0728362\pi\)
−0.290527 + 0.956867i \(0.593830\pi\)
\(200\) 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
\(203\) 8.16384 17.0915i 0.572989 1.19959i
\(204\) −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
\(210\) 1.16845 0.802099i 0.0806305 0.0553501i
\(211\) 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
\(217\) −7.35865 + 8.60622i −0.499538 + 0.584228i
\(218\) 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 0.917264 0.398279i \(-0.130392\pi\)
−0.993514 + 0.113712i \(0.963726\pi\)
\(224\) 0.671384 3.61130i 0.0448587 0.241290i
\(225\) −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 0.387803 0.921742i \(-0.373234\pi\)
−0.125024 + 0.992154i \(0.539901\pi\)
\(228\) 21.2802 + 5.70202i 1.40932 + 0.377625i
\(229\) −9.60039 9.60039i −0.634412 0.634412i 0.314760 0.949171i \(-0.398076\pi\)
−0.949171 + 0.314760i \(0.898076\pi\)
\(230\) 1.14182 0.659228i 0.0752892 0.0434682i
\(231\) −2.46030 + 13.2337i −0.161876 + 0.870714i
\(232\) 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
\(238\) 1.00442 + 0.858816i 0.0651067 + 0.0556688i
\(239\) 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 \(0.225734\pi\)
−0.982832 + 0.184501i \(0.940933\pi\)
\(242\) −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
\(245\) 7.27531 9.99032i 0.464803 0.638258i
\(246\) 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 0.915777 0.401686i \(-0.131576\pi\)
−0.805759 + 0.592243i \(0.798242\pi\)
\(252\) 17.7989 + 8.50175i 1.12123 + 0.535560i
\(253\) −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 −0.995882 0.0906578i \(-0.971103\pi\)
0.576453 + 0.817130i \(0.304436\pi\)
\(258\) 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
\(266\) −1.31435 + 0.102709i −0.0805881 + 0.00629752i
\(267\) 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 −0.188977 0.981981i \(-0.560517\pi\)
0.755932 + 0.654650i \(0.227184\pi\)
\(270\) −0.349454 0.201757i −0.0212671 0.0122786i
\(271\) 1.44767 0.387901i 0.0879396 0.0235633i −0.214581 0.976706i \(-0.568839\pi\)
0.302521 + 0.953143i \(0.402172\pi\)
\(272\) 16.7635 1.01643
\(273\) −20.6819 + 13.6678i −1.25172 + 0.827214i
\(274\) 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
\(280\) 0.169374 + 2.16745i 0.0101220 + 0.129530i
\(281\) 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 −0.724862 0.688894i \(-0.758096\pi\)
0.959031 + 0.283301i \(0.0914297\pi\)
\(284\) 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 \(0.199493\pi\)
−0.994687 + 0.102945i \(0.967173\pi\)
\(294\) −2.11198 0.224343i −0.123173 0.0130839i
\(295\) −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
\(301\) 3.90988 2.68400i 0.225362 0.154703i
\(302\) −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 0.897007 0.442017i \(-0.145737\pi\)
−0.442017 + 0.897007i \(0.645737\pi\)
\(308\) −7.81992 6.68634i −0.445581 0.380989i
\(309\) 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 \(-0.379428\pi\)
0.369794 + 0.929114i \(0.379428\pi\)
\(312\) 1.20270 4.19178i 0.0680894 0.237313i
\(313\) 3.57391i 0.202009i 0.994886 + 0.101005i \(0.0322057\pi\)
−0.994886 + 0.101005i \(0.967794\pi\)
\(314\) 0.209430 + 0.781604i 0.0118188 + 0.0441085i
\(315\) −17.2368 3.20452i −0.971181 0.180554i
\(316\) 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
\(322\) −1.94251 0.361135i −0.108252 0.0201253i
\(323\) −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
\(329\) −13.3280 11.3960i −0.734799 0.628282i
\(330\) 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
\(336\) −22.2113 + 15.2473i −1.21173 + 0.831808i
\(337\) 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
\(343\) −18.0157 + 4.29355i −0.972756 + 0.231830i
\(344\) −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 −0.631875 0.775071i \(-0.717714\pi\)
−0.159684 + 0.987168i \(0.551048\pi\)
\(350\) 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 \(0.0543398\pi\)
−0.768494 + 0.639857i \(0.778994\pi\)
\(354\) −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
\(357\) −2.29160 29.3251i −0.121284 1.55205i
\(358\) −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
\(364\) −1.14330 18.9142i −0.0599250 0.991375i
\(365\) −1.74402 −0.0912859
\(366\) 0.903414 0.242069i 0.0472222 0.0126531i
\(367\) −28.4547 16.4284i −1.48533 0.857553i −0.485465 0.874256i \(-0.661350\pi\)
−0.999860 + 0.0167033i \(0.994683\pi\)
\(368\) −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
\(371\) −11.2839 + 0.881778i −0.585833 + 0.0457796i
\(372\) −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 0.198840 0.980032i \(-0.436283\pi\)
−0.317816 + 0.948152i \(0.602949\pi\)
\(384\) 2.47025 9.21909i 0.126059 0.470460i
\(385\) 8.25182 + 3.94153i 0.420552 + 0.200879i
\(386\) −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
\(392\) 1.91790 2.63362i 0.0968685 0.133018i
\(393\) 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 \(-0.715659\pi\)
0.932441 0.361322i \(-0.117675\pi\)
\(398\) −1.59181 1.59181i −0.0797903 0.0797903i
\(399\) 22.3029 + 19.0698i 1.11654 + 0.954686i
\(400\) 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
\(406\) −0.404208 + 2.17419i −0.0200605 + 0.107903i
\(407\) −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 0.564982 0.825103i \(-0.308883\pi\)
0.0767375 + 0.997051i \(0.475550\pi\)
\(410\) −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
\(413\) −0.815960 + 4.38896i −0.0401508 + 0.215967i
\(414\) 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 0.820361 0.571846i \(-0.193773\pi\)
−0.0850532 + 0.996376i \(0.527106\pi\)
\(420\) 15.6699 18.3265i 0.764612 0.894243i
\(421\) −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
\(427\) 6.72393 4.61575i 0.325394 0.223372i
\(428\) 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 0.915426 0.402487i \(-0.131854\pi\)
−0.806277 + 0.591538i \(0.798521\pi\)
\(434\) 0.569811 1.19293i 0.0273518 0.0572626i
\(435\) −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 −0.994403 0.105657i \(-0.966306\pi\)
0.588703 + 0.808350i \(0.299639\pi\)
\(440\) −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
\(448\) −1.58193 20.2436i −0.0747392 0.956422i
\(449\) −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
\(455\) 5.33266 + 15.9755i 0.249999 + 0.748943i
\(456\) −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 0.780235 0.625486i \(-0.215099\pi\)
0.362961 + 0.931804i \(0.381766\pi\)
\(462\) −0.122435 1.56678i −0.00569621 0.0728932i
\(463\) −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 \(-0.415844\pi\)
0.261314 + 0.965254i \(0.415844\pi\)
\(468\) −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
\(476\) 20.2879 + 9.69063i 0.929895 + 0.444169i
\(477\) 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 −0.672610 0.739997i \(-0.734827\pi\)
−0.212499 + 0.977161i \(0.568160\pi\)
\(480\) 6.36978i 0.290739i
\(481\) −9.80456 2.81311i −0.447049 0.128267i
\(482\) 1.56814i 0.0714269i
\(483\) 24.8889 + 36.2566i 1.13249 + 1.64973i
\(484\) −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
\(490\) −0.518587 + 1.34651i −0.0234274 + 0.0608290i
\(491\) −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
\(497\) −2.30023 + 12.3727i −0.103179 + 0.554991i
\(498\) 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 −0.950687 0.310153i \(-0.899620\pi\)
−0.206743 + 0.978395i \(0.566287\pi\)
\(504\) −4.54391 0.844766i −0.202402 0.0376289i
\(505\) −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 \(0.0172525\pi\)
−0.837667 + 0.546182i \(0.816081\pi\)
\(510\) −1.98466 1.14585i −0.0878824 0.0507389i
\(511\) 1.98639 + 1.69844i 0.0878729 + 0.0751348i
\(512\) 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
\(518\) −0.494574 0.720464i −0.0217303 0.0316554i
\(519\) 1.37097i 0.0601791i
\(520\) −2.53932 1.52633i −0.111356 0.0669339i
\(521\) 0.875247i 0.0383452i −0.999816 0.0191726i \(-0.993897\pi\)
0.999816 0.0191726i \(-0.00610321\pi\)
\(522\) 3.03028 0.811961i 0.132632 0.0355386i
\(523\) 11.7198 + 6.76640i 0.512469 + 0.295874i 0.733848 0.679314i \(-0.237722\pi\)
−0.221379 + 0.975188i \(0.571056\pi\)
\(524\) 5.72506 + 9.91610i 0.250100 + 0.433187i
\(525\) 5.57991 11.6819i 0.243527 0.509839i
\(526\) 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
\(539\) −5.56010 12.5255i −0.239491 0.539512i
\(540\) −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
\(546\) 1.91939 2.16636i 0.0821422 0.0927115i
\(547\) 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
\(553\) 15.6606 1.22379i 0.665956 0.0520408i
\(554\) −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 \(-0.964507\pi\)
0.400528 0.916284i \(-0.368827\pi\)
\(564\) −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
\(567\) −7.03904 + 14.7366i −0.295612 + 0.618881i
\(568\) −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
\(574\) 1.99194 + 2.90174i 0.0831421 + 0.121116i
\(575\) 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 −0.481057 0.876689i \(-0.659747\pi\)
0.876689 + 0.481057i \(0.159747\pi\)
\(578\) 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
\(581\) 24.0164 28.0881i 0.996368 1.16529i
\(582\) 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 \(-0.800463\pi\)
0.408066 0.912952i \(-0.366203\pi\)
\(588\) −35.6953 + 5.61306i −1.47205 + 0.231479i
\(589\) −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 \(-0.979902\pi\)
−0.0630974 0.998007i \(-0.520098\pi\)
\(594\) −0.387498 + 0.223722i −0.0158992 + 0.00917944i
\(595\) −19.6471 3.65264i −0.805454 0.149744i
\(596\) 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 0.869081 0.494669i \(-0.164711\pi\)
0.00614424 + 0.999981i \(0.498044\pi\)
\(602\) −0.359833 + 0.420838i −0.0146657 + 0.0171521i
\(603\) −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 −0.841007 0.541024i \(-0.818037\pi\)
0.0480365 + 0.998846i \(0.484704\pi\)
\(608\) 2.96263 5.13143i 0.120151 0.208107i
\(609\) 40.5810 27.8575i 1.64443 1.12884i
\(610\) 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
\(616\) 2.17532 + 1.03905i 0.0876462 + 0.0418647i
\(617\) 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 0.538764 0.842457i \(-0.318891\pi\)
−0.842457 + 0.538764i \(0.818891\pi\)
\(620\) 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
\(630\) 2.04071 0.159471i 0.0813040 0.00635346i
\(631\) 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
\(637\) 9.48429 23.3891i 0.375781 0.926708i
\(638\) −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 0.846266 0.532761i \(-0.178845\pi\)
0.466507 + 0.884517i \(0.345512\pi\)
\(644\) −33.5127 + 2.61883i −1.32058 + 0.103196i
\(645\) −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 −0.919476 0.393145i \(-0.871387\pi\)
0.800212 + 0.599717i \(0.204720\pi\)
\(648\) −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
\(658\) 1.84744 + 0.882439i 0.0720206 + 0.0344010i
\(659\) 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 −0.579921 0.814673i \(-0.696917\pi\)
−0.0948903 + 0.995488i \(0.530250\pi\)
\(662\) 0.110698i 0.00430239i
\(663\) 34.3564 + 20.6509i 1.33429 + 0.802015i
\(664\) 6.50100i 0.252288i
\(665\) 16.4360 11.2828i 0.637361 0.437527i
\(666\) −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
\(672\) 6.20334 7.25504i 0.239299 0.279869i
\(673\) 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 \(-0.862039\pi\)
0.907537 0.419973i \(-0.137961\pi\)
\(678\) −0.670968 2.50409i −0.0257684 0.0961689i
\(679\) 38.4219 + 7.14309i 1.47450 + 0.274127i
\(680\) 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
\(686\) 1.90198 1.02860i 0.0726180 0.0392723i
\(687\) −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 \(0.0963227\pi\)
−0.677671 + 0.735365i \(0.737011\pi\)
\(692\) −0.907533 0.523964i −0.0344992 0.0199181i
\(693\) −12.6340 + 14.7759i −0.479925 + 0.561290i
\(694\) 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
\(700\) 5.60040 + 8.15831i 0.211675 + 0.308355i
\(701\) 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
\(707\) −18.2565 + 38.2210i −0.686606 + 1.43745i
\(708\) −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 \(-0.981307\pi\)
0.448308 0.893879i \(-0.352027\pi\)
\(720\) 18.3602 18.3602i 0.684246 0.684246i
\(721\) −31.1648 + 2.43536i −1.16064 + 0.0906975i
\(722\) 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 \(-0.482023\pi\)
0.0564455 + 0.998406i \(0.482023\pi\)
\(728\) 1.40578 + 4.21142i 0.0521017 + 0.156086i
\(729\) 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 −0.724043 0.689754i \(-0.757718\pi\)
0.689754 + 0.724043i \(0.257718\pi\)
\(734\) 3.70542 + 0.992865i 0.136770 + 0.0366473i
\(735\) 29.3544 13.0305i 1.08275 0.480637i
\(736\) 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
\(749\) 9.11265 19.0779i 0.332969 0.697090i
\(750\) −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
\(756\) 5.82241 + 8.48171i 0.211759 + 0.308477i
\(757\) −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 \(-0.685941\pi\)
0.894695 0.446677i \(-0.147393\pi\)
\(762\) 1.31170 + 1.31170i 0.0475178 + 0.0475178i
\(763\) 24.9019 + 21.2921i 0.901511 + 0.770827i
\(764\) −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 \(-0.898904\pi\)
0.666569 0.745443i \(-0.267762\pi\)
\(770\) −1.04971 0.195153i −0.0378288 0.00703282i
\(771\) −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 0.586359 0.810052i \(-0.300561\pi\)
0.102776 + 0.994705i \(0.467228\pi\)