Properties

Label 322.2.i.d.141.1
Level $322$
Weight $2$
Character 322.141
Analytic conductor $2.571$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.i (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(4\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 141.1
Character \(\chi\) \(=\) 322.141
Dual form 322.2.i.d.169.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.08968 + 2.38606i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.443664 - 0.512016i) q^{5} +(2.51685 + 0.739013i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-2.54129 - 2.93281i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.08968 + 2.38606i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.443664 - 0.512016i) q^{5} +(2.51685 + 0.739013i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-2.54129 - 2.93281i) q^{9} +(-0.569944 - 0.366281i) q^{10} +(-0.529744 + 3.68445i) q^{11} +(0.373306 - 2.59640i) q^{12} +(0.0806711 + 0.0518442i) q^{13} +(0.654861 + 0.755750i) q^{14} +(0.738248 + 1.61654i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-7.52455 - 2.20941i) q^{17} +(-2.54129 + 2.93281i) q^{18} +(-7.32649 + 2.15125i) q^{19} +(-0.281441 + 0.616270i) q^{20} +(-0.373306 - 2.59640i) q^{21} +3.72234 q^{22} +(4.07836 + 2.52329i) q^{23} -2.62310 q^{24} +(0.646252 + 4.49478i) q^{25} +(0.0398358 - 0.0872282i) q^{26} +(2.21648 - 0.650818i) q^{27} +(0.654861 - 0.755750i) q^{28} +(-3.73821 - 1.09764i) q^{29} +(1.49502 - 0.960791i) q^{30} +(-0.242071 - 0.530062i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-8.21406 - 5.27886i) q^{33} +(-1.11606 + 7.76239i) q^{34} +(-0.0964174 + 0.670598i) q^{35} +(3.26462 + 2.09804i) q^{36} +(4.26340 + 4.92023i) q^{37} +(3.17202 + 6.94576i) q^{38} +(-0.211608 + 0.135992i) q^{39} +(0.650051 + 0.190872i) q^{40} +(3.00717 - 3.47046i) q^{41} +(-2.51685 + 0.739013i) q^{42} +(0.547621 - 1.19912i) q^{43} +(-0.529744 - 3.68445i) q^{44} -2.62912 q^{45} +(1.91719 - 4.39595i) q^{46} +10.6453 q^{47} +(0.373306 + 2.59640i) q^{48} +(0.415415 - 0.909632i) q^{49} +(4.35706 - 1.27935i) q^{50} +(13.4711 - 15.5465i) q^{51} +(-0.0920095 - 0.0270164i) q^{52} +(4.71732 - 3.03164i) q^{53} +(-0.959632 - 2.10130i) q^{54} +(1.65147 + 1.90590i) q^{55} +(-0.841254 - 0.540641i) q^{56} +(2.85049 - 19.8256i) q^{57} +(-0.554463 + 3.85637i) q^{58} +(-0.235727 - 0.151492i) q^{59} +(-1.16378 - 1.34307i) q^{60} +(2.64493 + 5.79159i) q^{61} +(-0.490216 + 0.315043i) q^{62} +(3.72346 + 1.09331i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(0.0623359 - 0.0183035i) q^{65} +(-4.05614 + 8.88171i) q^{66} +(2.21596 + 15.4123i) q^{67} +7.84221 q^{68} +(-10.4648 + 6.98163i) q^{69} +0.677494 q^{70} +(-0.800042 - 5.56441i) q^{71} +(1.61208 - 3.52997i) q^{72} +(-4.11569 + 1.20848i) q^{73} +(4.26340 - 4.92023i) q^{74} +(-11.4290 - 3.35586i) q^{75} +(6.42364 - 4.12822i) q^{76} +(-1.54632 - 3.38596i) q^{77} +(0.164723 + 0.190101i) q^{78} +(-12.7745 - 8.20965i) q^{79} +(0.0964174 - 0.670598i) q^{80} +(0.794468 - 5.52565i) q^{81} +(-3.86310 - 2.48266i) q^{82} +(10.1788 + 11.7470i) q^{83} +(1.08968 + 2.38606i) q^{84} +(-4.46962 + 2.87245i) q^{85} +(-1.26485 - 0.371394i) q^{86} +(6.69246 - 7.72351i) q^{87} +(-3.57156 + 1.04870i) q^{88} +(0.279223 - 0.611413i) q^{89} +(0.374163 + 2.60236i) q^{90} -0.0958939 q^{91} +(-4.62405 - 1.27207i) q^{92} +1.52854 q^{93} +(-1.51498 - 10.5369i) q^{94} +(-2.14903 + 4.70571i) q^{95} +(2.51685 - 0.739013i) q^{96} +(-4.10798 + 4.74086i) q^{97} +(-0.959493 - 0.281733i) q^{98} +(12.1520 - 7.80963i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40 q - 4 q^{2} - 4 q^{4} + 9 q^{5} + 4 q^{7} - 4 q^{8} - 8 q^{9} + O(q^{10}) \) \( 40 q - 4 q^{2} - 4 q^{4} + 9 q^{5} + 4 q^{7} - 4 q^{8} - 8 q^{9} - 2 q^{10} + 6 q^{11} + 2 q^{13} + 4 q^{14} - 3 q^{15} - 4 q^{16} - 13 q^{17} - 8 q^{18} - 22 q^{19} - 2 q^{20} - 16 q^{22} - 9 q^{23} + 22 q^{24} - 15 q^{25} - 9 q^{26} + 21 q^{27} + 4 q^{28} - 10 q^{29} - 14 q^{30} - 2 q^{31} - 4 q^{32} + 8 q^{33} - 2 q^{34} + 13 q^{35} - 8 q^{36} - 45 q^{37} + 11 q^{38} - 22 q^{39} + 9 q^{40} + 21 q^{41} + 31 q^{43} + 6 q^{44} + 2 q^{45} - 9 q^{46} + 64 q^{47} - 4 q^{49} + 7 q^{50} + 65 q^{51} + 2 q^{52} + 69 q^{53} + 21 q^{54} - 74 q^{55} + 4 q^{56} - 68 q^{57} + 12 q^{58} + 48 q^{59} - 3 q^{60} + 6 q^{61} - 13 q^{62} + 8 q^{63} - 4 q^{64} - 64 q^{65} - 69 q^{66} + 31 q^{67} - 2 q^{68} - 62 q^{69} + 2 q^{70} - 57 q^{71} - 19 q^{72} + 70 q^{73} - 45 q^{74} - 11 q^{75} + 22 q^{76} - 6 q^{77} + 33 q^{78} + 34 q^{79} - 13 q^{80} + 30 q^{81} - 12 q^{82} - 56 q^{83} - 17 q^{85} + 42 q^{86} - 3 q^{87} + 6 q^{88} + 16 q^{89} + 46 q^{90} - 46 q^{91} + 24 q^{92} + 48 q^{93} + 9 q^{94} - 42 q^{95} - 36 q^{97} - 4 q^{98} + 112 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(1\) \(e\left(\frac{8}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −1.08968 + 2.38606i −0.629124 + 1.37759i 0.279569 + 0.960126i \(0.409809\pi\)
−0.908693 + 0.417465i \(0.862919\pi\)
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) 0.443664 0.512016i 0.198413 0.228980i −0.647821 0.761793i \(-0.724319\pi\)
0.846233 + 0.532812i \(0.178865\pi\)
\(6\) 2.51685 + 0.739013i 1.02750 + 0.301701i
\(7\) −0.841254 + 0.540641i −0.317964 + 0.204343i
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) −2.54129 2.93281i −0.847097 0.977602i
\(10\) −0.569944 0.366281i −0.180232 0.115828i
\(11\) −0.529744 + 3.68445i −0.159724 + 1.11090i 0.739418 + 0.673247i \(0.235101\pi\)
−0.899142 + 0.437657i \(0.855808\pi\)
\(12\) 0.373306 2.59640i 0.107764 0.749517i
\(13\) 0.0806711 + 0.0518442i 0.0223741 + 0.0143790i 0.551780 0.833990i \(-0.313949\pi\)
−0.529406 + 0.848369i \(0.677585\pi\)
\(14\) 0.654861 + 0.755750i 0.175019 + 0.201983i
\(15\) 0.738248 + 1.61654i 0.190615 + 0.417388i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −7.52455 2.20941i −1.82497 0.535860i −0.825383 0.564572i \(-0.809041\pi\)
−0.999588 + 0.0287126i \(0.990859\pi\)
\(18\) −2.54129 + 2.93281i −0.598988 + 0.691269i
\(19\) −7.32649 + 2.15125i −1.68081 + 0.493531i −0.976347 0.216208i \(-0.930631\pi\)
−0.704465 + 0.709739i \(0.748813\pi\)
\(20\) −0.281441 + 0.616270i −0.0629321 + 0.137802i
\(21\) −0.373306 2.59640i −0.0814621 0.566581i
\(22\) 3.72234 0.793606
\(23\) 4.07836 + 2.52329i 0.850397 + 0.526142i
\(24\) −2.62310 −0.535438
\(25\) 0.646252 + 4.49478i 0.129250 + 0.898956i
\(26\) 0.0398358 0.0872282i 0.00781244 0.0171069i
\(27\) 2.21648 0.650818i 0.426562 0.125250i
\(28\) 0.654861 0.755750i 0.123757 0.142823i
\(29\) −3.73821 1.09764i −0.694168 0.203826i −0.0844305 0.996429i \(-0.526907\pi\)
−0.609738 + 0.792603i \(0.708725\pi\)
\(30\) 1.49502 0.960791i 0.272952 0.175416i
\(31\) −0.242071 0.530062i −0.0434772 0.0952019i 0.886647 0.462447i \(-0.153028\pi\)
−0.930124 + 0.367245i \(0.880301\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) −8.21406 5.27886i −1.42988 0.918931i
\(34\) −1.11606 + 7.76239i −0.191403 + 1.33124i
\(35\) −0.0964174 + 0.670598i −0.0162975 + 0.113352i
\(36\) 3.26462 + 2.09804i 0.544103 + 0.349674i
\(37\) 4.26340 + 4.92023i 0.700899 + 0.808880i 0.988874 0.148757i \(-0.0475274\pi\)
−0.287975 + 0.957638i \(0.592982\pi\)
\(38\) 3.17202 + 6.94576i 0.514570 + 1.12675i
\(39\) −0.211608 + 0.135992i −0.0338845 + 0.0217762i
\(40\) 0.650051 + 0.190872i 0.102782 + 0.0301795i
\(41\) 3.00717 3.47046i 0.469641 0.541994i −0.470671 0.882309i \(-0.655988\pi\)
0.940312 + 0.340315i \(0.110534\pi\)
\(42\) −2.51685 + 0.739013i −0.388358 + 0.114032i
\(43\) 0.547621 1.19912i 0.0835114 0.182864i −0.863269 0.504743i \(-0.831587\pi\)
0.946781 + 0.321879i \(0.104314\pi\)
\(44\) −0.529744 3.68445i −0.0798620 0.555452i
\(45\) −2.62912 −0.391926
\(46\) 1.91719 4.39595i 0.282675 0.648147i
\(47\) 10.6453 1.55277 0.776386 0.630258i \(-0.217051\pi\)
0.776386 + 0.630258i \(0.217051\pi\)
\(48\) 0.373306 + 2.59640i 0.0538821 + 0.374758i
\(49\) 0.415415 0.909632i 0.0593450 0.129947i
\(50\) 4.35706 1.27935i 0.616181 0.180927i
\(51\) 13.4711 15.5465i 1.88633 2.17694i
\(52\) −0.0920095 0.0270164i −0.0127594 0.00374651i
\(53\) 4.71732 3.03164i 0.647973 0.416427i −0.174952 0.984577i \(-0.555977\pi\)
0.822925 + 0.568150i \(0.192341\pi\)
\(54\) −0.959632 2.10130i −0.130589 0.285951i
\(55\) 1.65147 + 1.90590i 0.222684 + 0.256991i
\(56\) −0.841254 0.540641i −0.112417 0.0722462i
\(57\) 2.85049 19.8256i 0.377556 2.62596i
\(58\) −0.554463 + 3.85637i −0.0728045 + 0.506366i
\(59\) −0.235727 0.151492i −0.0306890 0.0197226i 0.525206 0.850975i \(-0.323988\pi\)
−0.555895 + 0.831252i \(0.687624\pi\)
\(60\) −1.16378 1.34307i −0.150243 0.173389i
\(61\) 2.64493 + 5.79159i 0.338649 + 0.741537i 0.999963 0.00857161i \(-0.00272846\pi\)
−0.661315 + 0.750109i \(0.730001\pi\)
\(62\) −0.490216 + 0.315043i −0.0622575 + 0.0400105i
\(63\) 3.72346 + 1.09331i 0.469112 + 0.137744i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 0.0623359 0.0183035i 0.00773182 0.00227027i
\(66\) −4.05614 + 8.88171i −0.499277 + 1.09326i
\(67\) 2.21596 + 15.4123i 0.270722 + 1.88292i 0.440982 + 0.897516i \(0.354630\pi\)
−0.170259 + 0.985399i \(0.554461\pi\)
\(68\) 7.84221 0.951008
\(69\) −10.4648 + 6.98163i −1.25981 + 0.840490i
\(70\) 0.677494 0.0809760
\(71\) −0.800042 5.56441i −0.0949475 0.660374i −0.980599 0.196024i \(-0.937197\pi\)
0.885652 0.464350i \(-0.153712\pi\)
\(72\) 1.61208 3.52997i 0.189986 0.416011i
\(73\) −4.11569 + 1.20848i −0.481705 + 0.141441i −0.513565 0.858051i \(-0.671675\pi\)
0.0318593 + 0.999492i \(0.489857\pi\)
\(74\) 4.26340 4.92023i 0.495610 0.571965i
\(75\) −11.4290 3.35586i −1.31971 0.387501i
\(76\) 6.42364 4.12822i 0.736842 0.473539i
\(77\) −1.54632 3.38596i −0.176219 0.385866i
\(78\) 0.164723 + 0.190101i 0.0186512 + 0.0215247i
\(79\) −12.7745 8.20965i −1.43724 0.923658i −0.999701 0.0244591i \(-0.992214\pi\)
−0.437540 0.899199i \(-0.644150\pi\)
\(80\) 0.0964174 0.670598i 0.0107798 0.0749751i
\(81\) 0.794468 5.52565i 0.0882742 0.613961i
\(82\) −3.86310 2.48266i −0.426608 0.274164i
\(83\) 10.1788 + 11.7470i 1.11727 + 1.28940i 0.952994 + 0.302988i \(0.0979841\pi\)
0.164279 + 0.986414i \(0.447470\pi\)
\(84\) 1.08968 + 2.38606i 0.118893 + 0.260340i
\(85\) −4.46962 + 2.87245i −0.484799 + 0.311561i
\(86\) −1.26485 0.371394i −0.136392 0.0400484i
\(87\) 6.69246 7.72351i 0.717507 0.828048i
\(88\) −3.57156 + 1.04870i −0.380730 + 0.111792i
\(89\) 0.279223 0.611413i 0.0295976 0.0648096i −0.894256 0.447556i \(-0.852294\pi\)
0.923853 + 0.382747i \(0.125022\pi\)
\(90\) 0.374163 + 2.60236i 0.0394402 + 0.274313i
\(91\) −0.0958939 −0.0100524
\(92\) −4.62405 1.27207i −0.482091 0.132623i
\(93\) 1.52854 0.158502
\(94\) −1.51498 10.5369i −0.156258 1.08680i
\(95\) −2.14903 + 4.70571i −0.220485 + 0.482796i
\(96\) 2.51685 0.739013i 0.256875 0.0754252i
\(97\) −4.10798 + 4.74086i −0.417102 + 0.481362i −0.924952 0.380084i \(-0.875895\pi\)
0.507850 + 0.861446i \(0.330440\pi\)
\(98\) −0.959493 0.281733i −0.0969234 0.0284593i
\(99\) 12.1520 7.80963i 1.22132 0.784897i
\(100\) −1.88640 4.13064i −0.188640 0.413064i
\(101\) −4.77271 5.50800i −0.474902 0.548067i 0.466866 0.884328i \(-0.345383\pi\)
−0.941769 + 0.336261i \(0.890837\pi\)
\(102\) −17.3054 11.1215i −1.71349 1.10119i
\(103\) −0.0810879 + 0.563979i −0.00798983 + 0.0555705i −0.993426 0.114474i \(-0.963482\pi\)
0.985436 + 0.170044i \(0.0543910\pi\)
\(104\) −0.0136471 + 0.0949179i −0.00133821 + 0.00930746i
\(105\) −1.49502 0.960791i −0.145899 0.0937636i
\(106\) −3.67212 4.23785i −0.356668 0.411617i
\(107\) 2.45072 + 5.36634i 0.236920 + 0.518783i 0.990324 0.138775i \(-0.0443165\pi\)
−0.753404 + 0.657558i \(0.771589\pi\)
\(108\) −1.94334 + 1.24891i −0.186998 + 0.120176i
\(109\) 4.53904 + 1.33278i 0.434761 + 0.127657i 0.491787 0.870715i \(-0.336344\pi\)
−0.0570264 + 0.998373i \(0.518162\pi\)
\(110\) 1.65147 1.90590i 0.157461 0.181720i
\(111\) −16.3857 + 4.81127i −1.55526 + 0.456665i
\(112\) −0.415415 + 0.909632i −0.0392530 + 0.0859521i
\(113\) 0.453426 + 3.15365i 0.0426548 + 0.296670i 0.999971 + 0.00762749i \(0.00242793\pi\)
−0.957316 + 0.289043i \(0.906663\pi\)
\(114\) −20.0295 −1.87593
\(115\) 3.10138 0.968691i 0.289206 0.0903309i
\(116\) 3.89603 0.361737
\(117\) −0.0529598 0.368344i −0.00489614 0.0340534i
\(118\) −0.116403 + 0.254887i −0.0107158 + 0.0234643i
\(119\) 7.52455 2.20941i 0.689774 0.202536i
\(120\) −1.16378 + 1.34307i −0.106238 + 0.122605i
\(121\) −2.74014 0.804577i −0.249103 0.0731433i
\(122\) 5.35623 3.44224i 0.484930 0.311646i
\(123\) 5.00387 + 10.9569i 0.451183 + 0.987954i
\(124\) 0.381601 + 0.440391i 0.0342688 + 0.0395483i
\(125\) 5.43784 + 3.49469i 0.486375 + 0.312574i
\(126\) 0.552275 3.84116i 0.0492006 0.342198i
\(127\) −0.648257 + 4.50873i −0.0575235 + 0.400085i 0.940635 + 0.339421i \(0.110231\pi\)
−0.998158 + 0.0606643i \(0.980678\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 2.26445 + 2.61331i 0.199373 + 0.230089i
\(130\) −0.0269885 0.0590965i −0.00236705 0.00518311i
\(131\) 8.43297 5.41954i 0.736792 0.473508i −0.117649 0.993055i \(-0.537536\pi\)
0.854442 + 0.519547i \(0.173899\pi\)
\(132\) 9.36856 + 2.75086i 0.815429 + 0.239431i
\(133\) 5.00038 5.77075i 0.433588 0.500387i
\(134\) 14.9401 4.38681i 1.29063 0.378962i
\(135\) 0.650144 1.42362i 0.0559555 0.122526i
\(136\) −1.11606 7.76239i −0.0957016 0.665620i
\(137\) 14.2070 1.21379 0.606893 0.794783i \(-0.292416\pi\)
0.606893 + 0.794783i \(0.292416\pi\)
\(138\) 8.39986 + 9.36469i 0.715044 + 0.797175i
\(139\) −16.2309 −1.37669 −0.688344 0.725385i \(-0.741662\pi\)
−0.688344 + 0.725385i \(0.741662\pi\)
\(140\) −0.0964174 0.670598i −0.00814876 0.0566759i
\(141\) −11.5999 + 25.4002i −0.976886 + 2.13908i
\(142\) −5.39392 + 1.58380i −0.452647 + 0.132909i
\(143\) −0.233752 + 0.269765i −0.0195474 + 0.0225589i
\(144\) −3.72346 1.09331i −0.310289 0.0911090i
\(145\) −2.22052 + 1.42704i −0.184404 + 0.118509i
\(146\) 1.78190 + 3.90182i 0.147471 + 0.322917i
\(147\) 1.71777 + 1.98241i 0.141679 + 0.163506i
\(148\) −5.47689 3.51979i −0.450198 0.289325i
\(149\) −0.312315 + 2.17220i −0.0255858 + 0.177953i −0.998607 0.0527620i \(-0.983198\pi\)
0.973021 + 0.230715i \(0.0741066\pi\)
\(150\) −1.69518 + 11.7903i −0.138411 + 0.962671i
\(151\) 15.0888 + 9.69700i 1.22791 + 0.789131i 0.983565 0.180557i \(-0.0577900\pi\)
0.244347 + 0.969688i \(0.421426\pi\)
\(152\) −5.00038 5.77075i −0.405584 0.468069i
\(153\) 12.6423 + 27.6828i 1.02207 + 2.23802i
\(154\) −3.13143 + 2.01245i −0.252338 + 0.162168i
\(155\) −0.378798 0.111225i −0.0304258 0.00893382i
\(156\) 0.164723 0.190101i 0.0131884 0.0152202i
\(157\) 1.36000 0.399332i 0.108540 0.0318701i −0.227012 0.973892i \(-0.572896\pi\)
0.335551 + 0.942022i \(0.391077\pi\)
\(158\) −6.30810 + 13.8128i −0.501845 + 1.09889i
\(159\) 2.09331 + 14.5593i 0.166010 + 1.15463i
\(160\) −0.677494 −0.0535606
\(161\) −4.79513 + 0.0822024i −0.377909 + 0.00647845i
\(162\) −5.58247 −0.438600
\(163\) −1.03473 7.19674i −0.0810467 0.563692i −0.989370 0.145422i \(-0.953546\pi\)
0.908323 0.418269i \(-0.137363\pi\)
\(164\) −1.90762 + 4.17709i −0.148960 + 0.326176i
\(165\) −6.34714 + 1.86369i −0.494124 + 0.145088i
\(166\) 10.1788 11.7470i 0.790031 0.911745i
\(167\) −15.5619 4.56939i −1.20422 0.353590i −0.382753 0.923851i \(-0.625024\pi\)
−0.821464 + 0.570261i \(0.806842\pi\)
\(168\) 2.20669 1.41816i 0.170250 0.109413i
\(169\) −5.39658 11.8169i −0.415121 0.908989i
\(170\) 3.47931 + 4.01534i 0.266851 + 0.307962i
\(171\) 24.9279 + 16.0202i 1.90629 + 1.22510i
\(172\) −0.187607 + 1.30483i −0.0143049 + 0.0994925i
\(173\) −1.00482 + 6.98867i −0.0763950 + 0.531339i 0.915305 + 0.402762i \(0.131950\pi\)
−0.991700 + 0.128576i \(0.958959\pi\)
\(174\) −8.59734 5.52517i −0.651762 0.418862i
\(175\) −2.97372 3.43186i −0.224792 0.259424i
\(176\) 1.54632 + 3.38596i 0.116558 + 0.255226i
\(177\) 0.618335 0.397380i 0.0464769 0.0298689i
\(178\) −0.644927 0.189368i −0.0483393 0.0141937i
\(179\) 9.55574 11.0279i 0.714229 0.824265i −0.276371 0.961051i \(-0.589132\pi\)
0.990601 + 0.136786i \(0.0436773\pi\)
\(180\) 2.52262 0.740709i 0.188025 0.0552092i
\(181\) −5.11014 + 11.1896i −0.379834 + 0.831720i 0.619089 + 0.785321i \(0.287502\pi\)
−0.998923 + 0.0463991i \(0.985225\pi\)
\(182\) 0.0136471 + 0.0949179i 0.00101159 + 0.00703578i
\(183\) −16.7012 −1.23459
\(184\) −0.601052 + 4.75802i −0.0443101 + 0.350766i
\(185\) 4.41075 0.324285
\(186\) −0.217533 1.51298i −0.0159503 0.110937i
\(187\) 12.1265 26.5534i 0.886781 1.94178i
\(188\) −10.2141 + 2.99912i −0.744936 + 0.218733i
\(189\) −1.51276 + 1.74582i −0.110037 + 0.126990i
\(190\) 4.96365 + 1.45746i 0.360101 + 0.105735i
\(191\) −6.13848 + 3.94496i −0.444164 + 0.285447i −0.743544 0.668687i \(-0.766857\pi\)
0.299380 + 0.954134i \(0.403220\pi\)
\(192\) −1.08968 2.38606i −0.0786406 0.172199i
\(193\) −2.40661 2.77737i −0.173231 0.199920i 0.662494 0.749067i \(-0.269498\pi\)
−0.835725 + 0.549148i \(0.814953\pi\)
\(194\) 5.27723 + 3.39147i 0.378883 + 0.243493i
\(195\) −0.0242528 + 0.168682i −0.00173678 + 0.0120796i
\(196\) −0.142315 + 0.989821i −0.0101653 + 0.0707015i
\(197\) 9.14505 + 5.87717i 0.651558 + 0.418731i 0.824235 0.566247i \(-0.191605\pi\)
−0.172677 + 0.984978i \(0.555242\pi\)
\(198\) −9.45955 10.9169i −0.672261 0.775830i
\(199\) 9.19779 + 20.1404i 0.652014 + 1.42771i 0.889780 + 0.456389i \(0.150858\pi\)
−0.237766 + 0.971322i \(0.576415\pi\)
\(200\) −3.82013 + 2.45505i −0.270124 + 0.173598i
\(201\) −39.1894 11.5070i −2.76420 0.811644i
\(202\) −4.77271 + 5.50800i −0.335807 + 0.387542i
\(203\) 3.73821 1.09764i 0.262371 0.0770391i
\(204\) −8.54547 + 18.7120i −0.598302 + 1.31010i
\(205\) −0.442756 3.07943i −0.0309234 0.215077i
\(206\) 0.569778 0.0396983
\(207\) −2.96398 18.3734i −0.206011 1.27704i
\(208\) 0.0958939 0.00664905
\(209\) −4.04502 28.1337i −0.279800 1.94605i
\(210\) −0.738248 + 1.61654i −0.0509440 + 0.111552i
\(211\) −10.4232 + 3.06054i −0.717566 + 0.210696i −0.620078 0.784540i \(-0.712899\pi\)
−0.0974879 + 0.995237i \(0.531081\pi\)
\(212\) −3.67212 + 4.23785i −0.252202 + 0.291057i
\(213\) 14.1488 + 4.15446i 0.969459 + 0.284659i
\(214\) 4.96294 3.18949i 0.339260 0.218029i
\(215\) −0.371010 0.812398i −0.0253027 0.0554051i
\(216\) 1.51276 + 1.74582i 0.102931 + 0.118788i
\(217\) 0.490216 + 0.315043i 0.0332780 + 0.0213865i
\(218\) 0.673243 4.68251i 0.0455978 0.317140i
\(219\) 1.60128 11.1371i 0.108204 0.752577i
\(220\) −2.12153 1.36342i −0.143033 0.0919219i
\(221\) −0.492469 0.568339i −0.0331270 0.0382306i
\(222\) 7.09422 + 15.5342i 0.476133 + 1.04259i
\(223\) −12.7891 + 8.21903i −0.856419 + 0.550387i −0.893571 0.448923i \(-0.851808\pi\)
0.0371516 + 0.999310i \(0.488172\pi\)
\(224\) 0.959493 + 0.281733i 0.0641088 + 0.0188240i
\(225\) 11.5400 13.3179i 0.769334 0.887858i
\(226\) 3.05702 0.897622i 0.203350 0.0597089i
\(227\) 1.10175 2.41250i 0.0731260 0.160124i −0.869539 0.493865i \(-0.835584\pi\)
0.942665 + 0.333741i \(0.108311\pi\)
\(228\) 2.85049 + 19.8256i 0.188778 + 1.31298i
\(229\) −17.1599 −1.13396 −0.566980 0.823732i \(-0.691888\pi\)
−0.566980 + 0.823732i \(0.691888\pi\)
\(230\) −1.40020 2.93196i −0.0923268 0.193328i
\(231\) 9.76407 0.642429
\(232\) −0.554463 3.85637i −0.0364023 0.253183i
\(233\) −8.22403 + 18.0081i −0.538774 + 1.17975i 0.423056 + 0.906104i \(0.360957\pi\)
−0.961830 + 0.273647i \(0.911770\pi\)
\(234\) −0.357058 + 0.104842i −0.0233416 + 0.00685371i
\(235\) 4.72292 5.45054i 0.308089 0.355554i
\(236\) 0.268859 + 0.0789440i 0.0175012 + 0.00513882i
\(237\) 33.5087 21.5348i 2.17663 1.39883i
\(238\) −3.25777 7.13353i −0.211170 0.462398i
\(239\) −16.1714 18.6628i −1.04604 1.20720i −0.977802 0.209530i \(-0.932807\pi\)
−0.0682414 0.997669i \(-0.521739\pi\)
\(240\) 1.49502 + 0.960791i 0.0965032 + 0.0620188i
\(241\) −0.216450 + 1.50544i −0.0139428 + 0.0969741i −0.995605 0.0936569i \(-0.970144\pi\)
0.981662 + 0.190631i \(0.0610534\pi\)
\(242\) −0.406425 + 2.82675i −0.0261260 + 0.181710i
\(243\) 18.1488 + 11.6635i 1.16425 + 0.748216i
\(244\) −4.16947 4.81183i −0.266923 0.308046i
\(245\) −0.281441 0.616270i −0.0179806 0.0393720i
\(246\) 10.1333 6.51227i 0.646075 0.415207i
\(247\) −0.702566 0.206292i −0.0447032 0.0131260i
\(248\) 0.381601 0.440391i 0.0242317 0.0279649i
\(249\) −39.1207 + 11.4869i −2.47917 + 0.727950i
\(250\) 2.68523 5.87983i 0.169829 0.371873i
\(251\) −4.14745 28.8462i −0.261785 1.82075i −0.519428 0.854514i \(-0.673855\pi\)
0.257643 0.966240i \(-0.417054\pi\)
\(252\) −3.88066 −0.244458
\(253\) −11.4574 + 13.6898i −0.720322 + 0.860672i
\(254\) 4.55509 0.285812
\(255\) −1.98339 13.7948i −0.124205 0.863865i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 15.7856 4.63507i 0.984678 0.289128i 0.250524 0.968110i \(-0.419397\pi\)
0.734154 + 0.678983i \(0.237579\pi\)
\(258\) 2.26445 2.61331i 0.140978 0.162698i
\(259\) −6.24668 1.83419i −0.388150 0.113971i
\(260\) −0.0546542 + 0.0351241i −0.00338951 + 0.00217830i
\(261\) 6.28072 + 13.7529i 0.388767 + 0.851281i
\(262\) −6.56452 7.57586i −0.405557 0.468038i
\(263\) −12.1119 7.78382i −0.746850 0.479971i 0.111033 0.993817i \(-0.464584\pi\)
−0.857883 + 0.513846i \(0.828220\pi\)
\(264\) 1.38957 9.66469i 0.0855223 0.594821i
\(265\) 0.540659 3.76037i 0.0332124 0.230998i
\(266\) −6.42364 4.12822i −0.393858 0.253117i
\(267\) 1.15460 + 1.33248i 0.0706606 + 0.0815466i
\(268\) −6.46835 14.1637i −0.395117 0.865186i
\(269\) 16.9797 10.9122i 1.03527 0.665329i 0.0914593 0.995809i \(-0.470847\pi\)
0.943813 + 0.330480i \(0.107211\pi\)
\(270\) −1.50165 0.440925i −0.0913877 0.0268338i
\(271\) −5.02903 + 5.80381i −0.305492 + 0.352556i −0.887650 0.460520i \(-0.847663\pi\)
0.582158 + 0.813076i \(0.302209\pi\)
\(272\) −7.52455 + 2.20941i −0.456243 + 0.133965i
\(273\) 0.104493 0.228808i 0.00632422 0.0138481i
\(274\) −2.02187 14.0624i −0.122145 0.849540i
\(275\) −16.9032 −1.01930
\(276\) 8.07395 9.64710i 0.485994 0.580687i
\(277\) −13.8016 −0.829257 −0.414628 0.909991i \(-0.636088\pi\)
−0.414628 + 0.909991i \(0.636088\pi\)
\(278\) 2.30990 + 16.0657i 0.138539 + 0.963557i
\(279\) −0.939395 + 2.05699i −0.0562401 + 0.123149i
\(280\) −0.650051 + 0.190872i −0.0388479 + 0.0114068i
\(281\) −10.1452 + 11.7082i −0.605213 + 0.698453i −0.972829 0.231525i \(-0.925628\pi\)
0.367616 + 0.929978i \(0.380174\pi\)
\(282\) 26.7925 + 7.86699i 1.59547 + 0.468472i
\(283\) 3.95868 2.54409i 0.235319 0.151230i −0.417667 0.908600i \(-0.637152\pi\)
0.652986 + 0.757370i \(0.273516\pi\)
\(284\) 2.33531 + 5.11362i 0.138575 + 0.303437i
\(285\) −8.88635 10.2554i −0.526382 0.607477i
\(286\) 0.300285 + 0.192982i 0.0177562 + 0.0114112i
\(287\) −0.653520 + 4.54533i −0.0385761 + 0.268302i
\(288\) −0.552275 + 3.84116i −0.0325431 + 0.226342i
\(289\) 37.4360 + 24.0587i 2.20212 + 1.41522i
\(290\) 1.72853 + 1.99483i 0.101503 + 0.117140i
\(291\) −6.83560 14.9679i −0.400710 0.877432i
\(292\) 3.60851 2.31905i 0.211172 0.135712i
\(293\) 5.31182 + 1.55969i 0.310320 + 0.0911181i 0.433184 0.901305i \(-0.357390\pi\)
−0.122865 + 0.992423i \(0.539208\pi\)
\(294\) 1.71777 1.98241i 0.100182 0.115616i
\(295\) −0.182150 + 0.0534841i −0.0106052 + 0.00311396i
\(296\) −2.70452 + 5.92206i −0.157197 + 0.344213i
\(297\) 1.22374 + 8.51129i 0.0710085 + 0.493875i
\(298\) 2.19454 0.127126
\(299\) 0.198188 + 0.414996i 0.0114615 + 0.0239998i
\(300\) 11.9115 0.687711
\(301\) 0.187607 + 1.30483i 0.0108135 + 0.0752093i
\(302\) 7.45094 16.3153i 0.428753 0.938839i
\(303\) 18.3431 5.38602i 1.05378 0.309419i
\(304\) −5.00038 + 5.77075i −0.286792 + 0.330975i
\(305\) 4.13884 + 1.21527i 0.236990 + 0.0695864i
\(306\) 25.6018 16.4533i 1.46356 0.940572i
\(307\) 13.6767 + 29.9478i 0.780571 + 1.70921i 0.701861 + 0.712314i \(0.252353\pi\)
0.0787097 + 0.996898i \(0.474920\pi\)
\(308\) 2.43761 + 2.81316i 0.138896 + 0.160295i
\(309\) −1.25733 0.808034i −0.0715267 0.0459674i
\(310\) −0.0561845 + 0.390771i −0.00319106 + 0.0221943i
\(311\) −4.54620 + 31.6195i −0.257791 + 1.79298i 0.290691 + 0.956817i \(0.406115\pi\)
−0.548483 + 0.836162i \(0.684794\pi\)
\(312\) −0.211608 0.135992i −0.0119800 0.00769906i
\(313\) −4.36257 5.03468i −0.246587 0.284577i 0.618940 0.785438i \(-0.287562\pi\)
−0.865528 + 0.500861i \(0.833017\pi\)
\(314\) −0.588815 1.28933i −0.0332288 0.0727608i
\(315\) 2.21176 1.42141i 0.124618 0.0800874i
\(316\) 14.5699 + 4.27812i 0.819623 + 0.240663i
\(317\) 8.69588 10.0356i 0.488410 0.563655i −0.457030 0.889451i \(-0.651087\pi\)
0.945440 + 0.325796i \(0.105632\pi\)
\(318\) 14.1132 4.14400i 0.791428 0.232384i
\(319\) 6.02449 13.1918i 0.337307 0.738599i
\(320\) 0.0964174 + 0.670598i 0.00538990 + 0.0374876i
\(321\) −15.4749 −0.863723
\(322\) 0.763783 + 4.73462i 0.0425640 + 0.263850i
\(323\) 59.8815 3.33190
\(324\) 0.794468 + 5.52565i 0.0441371 + 0.306980i
\(325\) −0.180894 + 0.396103i −0.0100342 + 0.0219719i
\(326\) −6.97623 + 2.04840i −0.386377 + 0.113451i
\(327\) −8.12617 + 9.37810i −0.449378 + 0.518610i
\(328\) 4.40606 + 1.29374i 0.243284 + 0.0714346i
\(329\) −8.95536 + 5.75526i −0.493725 + 0.317298i
\(330\) 2.74801 + 6.01731i 0.151273 + 0.331242i
\(331\) −11.8402 13.6643i −0.650797 0.751059i 0.330448 0.943824i \(-0.392800\pi\)
−0.981245 + 0.192765i \(0.938255\pi\)
\(332\) −13.0760 8.40346i −0.717641 0.461200i
\(333\) 3.59553 25.0075i 0.197034 1.37040i
\(334\) −2.30819 + 16.0538i −0.126298 + 0.878425i
\(335\) 8.87449 + 5.70329i 0.484865 + 0.311604i
\(336\) −1.71777 1.98241i −0.0937118 0.108149i
\(337\) −10.6023 23.2159i −0.577545 1.26465i −0.942681 0.333694i \(-0.891705\pi\)
0.365136 0.930954i \(-0.381022\pi\)
\(338\) −10.9286 + 7.02336i −0.594435 + 0.382020i
\(339\) −8.01887 2.35455i −0.435525 0.127882i
\(340\) 3.47931 4.01534i 0.188692 0.217762i
\(341\) 2.08122 0.611102i 0.112705 0.0330930i
\(342\) 12.3095 26.9541i 0.665624 1.45751i
\(343\) 0.142315 + 0.989821i 0.00768428 + 0.0534453i
\(344\) 1.31825 0.0710753
\(345\) −1.06815 + 8.45564i −0.0575073 + 0.455236i
\(346\) 7.06054 0.379577
\(347\) 2.12682 + 14.7923i 0.114174 + 0.794094i 0.963784 + 0.266684i \(0.0859279\pi\)
−0.849611 + 0.527411i \(0.823163\pi\)
\(348\) −4.24541 + 9.29614i −0.227578 + 0.498326i
\(349\) 17.6952 5.19577i 0.947201 0.278123i 0.228580 0.973525i \(-0.426592\pi\)
0.718621 + 0.695402i \(0.244774\pi\)
\(350\) −2.97372 + 3.43186i −0.158952 + 0.183441i
\(351\) 0.212547 + 0.0624095i 0.0113449 + 0.00333117i
\(352\) 3.13143 2.01245i 0.166906 0.107264i
\(353\) −12.6734 27.7508i −0.674536 1.47703i −0.868331 0.495986i \(-0.834807\pi\)
0.193795 0.981042i \(-0.437920\pi\)
\(354\) −0.481334 0.555489i −0.0255826 0.0295239i
\(355\) −3.20402 2.05910i −0.170051 0.109285i
\(356\) −0.0956575 + 0.665312i −0.00506984 + 0.0352615i
\(357\) −2.92755 + 20.3615i −0.154942 + 1.07765i
\(358\) −12.2756 7.88904i −0.648785 0.416949i
\(359\) −3.67603 4.24236i −0.194013 0.223903i 0.650405 0.759588i \(-0.274599\pi\)
−0.844418 + 0.535684i \(0.820054\pi\)
\(360\) −1.09218 2.39153i −0.0575628 0.126045i
\(361\) 33.0657 21.2501i 1.74030 1.11842i
\(362\) 11.8030 + 3.46567i 0.620352 + 0.182152i
\(363\) 4.90563 5.66139i 0.257479 0.297146i
\(364\) 0.0920095 0.0270164i 0.00482261 0.00141605i
\(365\) −1.20723 + 2.64346i −0.0631891 + 0.138365i
\(366\) 2.37682 + 16.5312i 0.124239 + 0.864099i
\(367\) 1.98028 0.103370 0.0516848 0.998663i \(-0.483541\pi\)
0.0516848 + 0.998663i \(0.483541\pi\)
\(368\) 4.79513 0.0822024i 0.249963 0.00428509i
\(369\) −17.8203 −0.927686
\(370\) −0.627715 4.36586i −0.0326334 0.226970i
\(371\) −2.32943 + 5.10075i −0.120938 + 0.264818i
\(372\) −1.46662 + 0.430638i −0.0760407 + 0.0223276i
\(373\) 21.0828 24.3309i 1.09163 1.25981i 0.128226 0.991745i \(-0.459072\pi\)
0.963402 0.268061i \(-0.0863829\pi\)
\(374\) −28.0089 8.22416i −1.44831 0.425261i
\(375\) −14.2640 + 9.16691i −0.736590 + 0.473377i
\(376\) 4.42220 + 9.68327i 0.228058 + 0.499377i
\(377\) −0.244660 0.282352i −0.0126006 0.0145419i
\(378\) 1.94334 + 1.24891i 0.0999547 + 0.0642370i
\(379\) −2.47384 + 17.2060i −0.127073 + 0.883811i 0.822164 + 0.569250i \(0.192766\pi\)
−0.949237 + 0.314561i \(0.898143\pi\)
\(380\) 0.736223 5.12055i 0.0377675 0.262678i
\(381\) −10.0517 6.45983i −0.514964 0.330947i
\(382\) 4.77840 + 5.51457i 0.244484 + 0.282150i
\(383\) −9.11657 19.9625i −0.465835 1.02004i −0.986119 0.166043i \(-0.946901\pi\)
0.520284 0.853994i \(-0.325826\pi\)
\(384\) −2.20669 + 1.41816i −0.112610 + 0.0723699i
\(385\) −2.41971 0.710491i −0.123320 0.0362100i
\(386\) −2.40661 + 2.77737i −0.122493 + 0.141364i
\(387\) −4.90846 + 1.44125i −0.249511 + 0.0732630i
\(388\) 2.60592 5.70617i 0.132296 0.289687i
\(389\) 4.96169 + 34.5093i 0.251568 + 1.74969i 0.588807 + 0.808274i \(0.299598\pi\)
−0.337239 + 0.941419i \(0.609493\pi\)
\(390\) 0.170416 0.00862937
\(391\) −25.1128 27.9974i −1.27001 1.41589i
\(392\) 1.00000 0.0505076
\(393\) 3.74213 + 26.0271i 0.188766 + 1.31289i
\(394\) 4.51587 9.88838i 0.227506 0.498169i
\(395\) −9.87105 + 2.89840i −0.496666 + 0.145834i
\(396\) −9.45955 + 10.9169i −0.475360 + 0.548595i
\(397\) 14.2409 + 4.18152i 0.714732 + 0.209864i 0.618828 0.785526i \(-0.287608\pi\)
0.0959040 + 0.995391i \(0.469426\pi\)
\(398\) 18.6264 11.9704i 0.933656 0.600024i
\(399\) 8.32054 + 18.2194i 0.416548 + 0.912112i
\(400\) 2.97372 + 3.43186i 0.148686 + 0.171593i
\(401\) −1.86770 1.20030i −0.0932683 0.0599399i 0.493175 0.869930i \(-0.335836\pi\)
−0.586444 + 0.809990i \(0.699472\pi\)
\(402\) −5.81268 + 40.4281i −0.289910 + 2.01637i
\(403\) 0.00795247 0.0553106i 0.000396141 0.00275522i
\(404\) 6.13117 + 3.94026i 0.305037 + 0.196035i
\(405\) −2.47674 2.85831i −0.123070 0.142031i
\(406\) −1.61847 3.54395i −0.0803232 0.175883i
\(407\) −20.3869 + 13.1018i −1.01054 + 0.649434i
\(408\) 19.7377 + 5.79550i 0.977159 + 0.286920i
\(409\) −2.47652 + 2.85806i −0.122456 + 0.141322i −0.813667 0.581331i \(-0.802532\pi\)
0.691211 + 0.722653i \(0.257078\pi\)
\(410\) −2.98508 + 0.876498i −0.147422 + 0.0432871i
\(411\) −15.4810 + 33.8987i −0.763623 + 1.67210i
\(412\) −0.0810879 0.563979i −0.00399491 0.0277852i
\(413\) 0.280209 0.0137882
\(414\) −17.7646 + 5.54863i −0.873083 + 0.272700i
\(415\) 10.5306 0.516929
\(416\) −0.0136471 0.0949179i −0.000669106 0.00465373i
\(417\) 17.6864 38.7279i 0.866108 1.89651i
\(418\) −27.2717 + 8.00769i −1.33390 + 0.391669i
\(419\) −18.8992 + 21.8108i −0.923284 + 1.06553i 0.0743809 + 0.997230i \(0.476302\pi\)
−0.997665 + 0.0682968i \(0.978244\pi\)
\(420\) 1.70515 + 0.500677i 0.0832027 + 0.0244305i
\(421\) −6.77484 + 4.35393i −0.330186 + 0.212197i −0.695221 0.718796i \(-0.744693\pi\)
0.365035 + 0.930994i \(0.381057\pi\)
\(422\) 4.51277 + 9.88159i 0.219678 + 0.481028i
\(423\) −27.0527 31.2205i −1.31535 1.51799i
\(424\) 4.71732 + 3.03164i 0.229093 + 0.147229i
\(425\) 5.06805 35.2490i 0.245836 1.70983i
\(426\) 2.09859 14.5960i 0.101677 0.707179i
\(427\) −5.35623 3.44224i −0.259206 0.166582i
\(428\) −3.86332 4.45851i −0.186741 0.215510i
\(429\) −0.388959 0.851702i −0.0187791 0.0411206i
\(430\) −0.751329 + 0.482850i −0.0362323 + 0.0232851i
\(431\) −11.2648 3.30764i −0.542605 0.159323i −0.00106699 0.999999i \(-0.500340\pi\)
−0.541538 + 0.840676i \(0.682158\pi\)
\(432\) 1.51276 1.74582i 0.0727829 0.0839960i
\(433\) 35.6650 10.4722i 1.71395 0.503261i 0.730265 0.683164i \(-0.239396\pi\)
0.983684 + 0.179903i \(0.0575782\pi\)
\(434\) 0.242071 0.530062i 0.0116198 0.0254438i
\(435\) −0.985355 6.85329i −0.0472441 0.328590i
\(436\) −4.73066 −0.226558
\(437\) −35.3083 9.71327i −1.68902 0.464649i
\(438\) −11.2516 −0.537624
\(439\) 5.17070 + 35.9630i 0.246784 + 1.71642i 0.616566 + 0.787303i \(0.288523\pi\)
−0.369782 + 0.929118i \(0.620568\pi\)
\(440\) −1.04762 + 2.29397i −0.0499433 + 0.109361i
\(441\) −3.72346 + 1.09331i −0.177308 + 0.0520623i
\(442\) −0.492469 + 0.568339i −0.0234244 + 0.0270331i
\(443\) 5.50159 + 1.61541i 0.261389 + 0.0767506i 0.409801 0.912175i \(-0.365598\pi\)
−0.148412 + 0.988926i \(0.547416\pi\)
\(444\) 14.3664 9.23275i 0.681801 0.438167i
\(445\) −0.189172 0.414228i −0.00896760 0.0196363i
\(446\) 9.95545 + 11.4892i 0.471404 + 0.544029i
\(447\) −4.84267 3.11219i −0.229050 0.147202i
\(448\) 0.142315 0.989821i 0.00672374 0.0467647i
\(449\) 1.37224 9.54415i 0.0647601 0.450417i −0.931481 0.363791i \(-0.881482\pi\)
0.996241 0.0866260i \(-0.0276085\pi\)
\(450\) −14.8246 9.52721i −0.698840 0.449117i
\(451\) 11.1937 + 12.9182i 0.527091 + 0.608295i
\(452\) −1.32355 2.89816i −0.0622543 0.136318i
\(453\) −39.5795 + 25.4362i −1.85961 + 1.19510i
\(454\) −2.54474 0.747205i −0.119431 0.0350680i
\(455\) −0.0425447 + 0.0490992i −0.00199453 + 0.00230181i
\(456\) 19.2181 5.64295i 0.899971 0.264255i
\(457\) −9.63635 + 21.1007i −0.450770 + 0.987048i 0.538726 + 0.842481i \(0.318906\pi\)
−0.989495 + 0.144566i \(0.953821\pi\)
\(458\) 2.44211 + 16.9853i 0.114112 + 0.793669i
\(459\) −18.1159 −0.845580
\(460\) −2.70284 + 1.80321i −0.126021 + 0.0840753i
\(461\) 9.40459 0.438015 0.219008 0.975723i \(-0.429718\pi\)
0.219008 + 0.975723i \(0.429718\pi\)
\(462\) −1.38957 9.66469i −0.0646488 0.449642i
\(463\) 7.29551 15.9749i 0.339051 0.742419i −0.660916 0.750460i \(-0.729832\pi\)
0.999968 + 0.00804076i \(0.00255948\pi\)
\(464\) −3.73821 + 1.09764i −0.173542 + 0.0509566i
\(465\) 0.678157 0.782634i 0.0314488 0.0362938i
\(466\) 18.9952 + 5.57750i 0.879937 + 0.258373i
\(467\) −23.5268 + 15.1198i −1.08869 + 0.699660i −0.956549 0.291571i \(-0.905822\pi\)
−0.132143 + 0.991231i \(0.542186\pi\)
\(468\) 0.154589 + 0.338503i 0.00714588 + 0.0156473i
\(469\) −10.1967 11.7676i −0.470841 0.543379i
\(470\) −6.06720 3.89916i −0.279859 0.179855i
\(471\) −0.529129 + 3.68018i −0.0243810 + 0.169574i
\(472\) 0.0398779 0.277357i 0.00183553 0.0127664i
\(473\) 4.12801 + 2.65291i 0.189806 + 0.121981i
\(474\) −26.0843 30.1029i −1.19809 1.38267i
\(475\) −14.4042 31.5407i −0.660908 1.44719i
\(476\) −6.59729 + 4.23982i −0.302386 + 0.194332i
\(477\) −20.8793 6.13071i −0.955996 0.280706i
\(478\) −16.1714 + 18.6628i −0.739665 + 0.853618i
\(479\) −29.2423 + 8.58631i −1.33611 + 0.392318i −0.870281 0.492555i \(-0.836063\pi\)
−0.465832 + 0.884873i \(0.654245\pi\)
\(480\) 0.738248 1.61654i 0.0336963 0.0737845i
\(481\) 0.0888482 + 0.617953i 0.00405113 + 0.0281762i
\(482\) 1.52092 0.0692762
\(483\) 5.02899 11.5310i 0.228827 0.524679i
\(484\) 2.85582 0.129810
\(485\) 0.604832 + 4.20670i 0.0274640 + 0.191016i
\(486\) 8.96197 19.6240i 0.406523 0.890162i
\(487\) −20.8432 + 6.12013i −0.944497 + 0.277329i −0.717494 0.696565i \(-0.754711\pi\)
−0.227003 + 0.973894i \(0.572893\pi\)
\(488\) −4.16947 + 4.81183i −0.188743 + 0.217821i
\(489\) 18.2993 + 5.37317i 0.827525 + 0.242983i
\(490\) −0.569944 + 0.366281i −0.0257474 + 0.0165469i
\(491\) 14.5230 + 31.8009i 0.655413 + 1.43515i 0.886736 + 0.462276i \(0.152967\pi\)
−0.231323 + 0.972877i \(0.574306\pi\)
\(492\) −7.88810 9.10335i −0.355623 0.410411i
\(493\) 25.7032 + 16.5185i 1.15762 + 0.743954i
\(494\) −0.104207 + 0.724773i −0.00468848 + 0.0326091i
\(495\) 1.39276 9.68687i 0.0626000 0.435393i
\(496\) −0.490216 0.315043i −0.0220114 0.0141458i
\(497\) 3.68139 + 4.24855i 0.165133 + 0.190573i
\(498\) 16.9374 + 37.0877i 0.758983 + 1.66194i
\(499\) 32.5554 20.9221i 1.45738 0.936601i 0.458529 0.888680i \(-0.348377\pi\)
0.998851 0.0479214i \(-0.0152597\pi\)
\(500\) −6.20213 1.82111i −0.277368 0.0814425i
\(501\) 27.8602 32.1524i 1.24470 1.43647i
\(502\) −27.9623 + 8.21048i −1.24802 + 0.366452i
\(503\) 12.0522 26.3907i 0.537382 1.17670i −0.425047 0.905171i \(-0.639742\pi\)
0.962429 0.271532i \(-0.0875303\pi\)
\(504\) 0.552275 + 3.84116i 0.0246003 + 0.171099i
\(505\) −4.93766 −0.219723
\(506\) 15.1810 + 9.39254i 0.674880 + 0.417549i
\(507\) 34.0762 1.51338
\(508\) −0.648257 4.50873i −0.0287618 0.200042i
\(509\) 15.9407 34.9052i 0.706558 1.54715i −0.125277 0.992122i \(-0.539982\pi\)
0.831835 0.555024i \(-0.187291\pi\)
\(510\) −13.3721 + 3.92641i −0.592128 + 0.173865i
\(511\) 2.80899 3.24175i 0.124262 0.143406i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) −14.8390 + 9.53642i −0.655156 + 0.421043i
\(514\) −6.83441 14.9653i −0.301453 0.660090i
\(515\) 0.252790 + 0.291735i 0.0111393 + 0.0128554i
\(516\) −2.90897 1.86948i −0.128060 0.0822994i
\(517\) −5.63927 + 39.2220i −0.248015 + 1.72498i
\(518\) −0.926526 + 6.44413i −0.0407092 + 0.283139i
\(519\) −15.5804 10.0129i −0.683905 0.439519i
\(520\) 0.0425447 + 0.0490992i 0.00186571 + 0.00215314i
\(521\) 0.613092 + 1.34249i 0.0268601 + 0.0588153i 0.922587 0.385790i \(-0.126071\pi\)
−0.895726 + 0.444606i \(0.853344\pi\)
\(522\) 12.7190 8.17403i 0.556697 0.357768i
\(523\) −1.52806 0.448680i −0.0668175 0.0196194i 0.248153 0.968721i \(-0.420176\pi\)
−0.314970 + 0.949101i \(0.601995\pi\)
\(524\) −6.56452 + 7.57586i −0.286772 + 0.330953i
\(525\) 11.4290 3.35586i 0.498803 0.146462i
\(526\) −5.98090 + 13.0963i −0.260780 + 0.571028i
\(527\) 0.650354 + 4.52331i 0.0283298 + 0.197038i
\(528\) −9.76407 −0.424927
\(529\) 10.2660 + 20.5818i 0.446349 + 0.894859i
\(530\) −3.79904 −0.165020
\(531\) 0.154753 + 1.07633i 0.00671569 + 0.0467086i
\(532\) −3.17202 + 6.94576i −0.137525 + 0.301137i
\(533\) 0.422514 0.124061i 0.0183011 0.00537370i
\(534\) 1.15460 1.33248i 0.0499646 0.0576622i
\(535\) 3.83495 + 1.12604i 0.165799 + 0.0486830i
\(536\) −13.0990 + 8.41822i −0.565791 + 0.363612i
\(537\) 15.9006 + 34.8174i 0.686160 + 1.50248i
\(538\) −13.2176 15.2539i −0.569851 0.657644i
\(539\) 3.13143 + 2.01245i 0.134880 + 0.0866823i
\(540\) −0.222730 + 1.54912i −0.00958475 + 0.0666634i
\(541\) −3.51573 + 24.4525i −0.151153 + 1.05129i 0.763138 + 0.646236i \(0.223658\pi\)
−0.914291 + 0.405058i \(0.867251\pi\)
\(542\) 6.46044 + 4.15187i 0.277500 + 0.178338i
\(543\) −21.1307 24.3862i −0.906806 1.04651i
\(544\) 3.25777 + 7.13353i 0.139676 + 0.305848i
\(545\) 2.69621 1.73275i 0.115493 0.0742229i
\(546\) −0.241350 0.0708668i −0.0103288 0.00303282i
\(547\) −12.2208 + 14.1035i −0.522523 + 0.603023i −0.954261 0.298976i \(-0.903355\pi\)
0.431738 + 0.901999i \(0.357900\pi\)
\(548\) −13.6315 + 4.00258i −0.582310 + 0.170982i
\(549\) 10.2641 22.4752i 0.438060 0.959217i
\(550\) 2.40557 + 16.7311i 0.102574 + 0.713417i
\(551\) 29.7493 1.26736
\(552\) −10.6979 6.61884i −0.455335 0.281717i
\(553\) 15.1850 0.645734
\(554\) 1.96417 + 13.6611i 0.0834496 + 0.580405i
\(555\) −4.80629 + 10.5243i −0.204016 + 0.446732i
\(556\) 15.5734 4.57278i 0.660461 0.193929i
\(557\) −1.33791 + 1.54403i −0.0566892 + 0.0654228i −0.783386 0.621536i \(-0.786509\pi\)
0.726697 + 0.686958i \(0.241055\pi\)
\(558\) 2.16974 + 0.637093i 0.0918525 + 0.0269703i
\(559\) 0.106345 0.0683436i 0.00449790 0.00289063i
\(560\) 0.281441 + 0.616270i 0.0118931 + 0.0260422i
\(561\) 50.1440 + 57.8692i 2.11708 + 2.44324i
\(562\) 13.0328 + 8.37570i 0.549757 + 0.353307i
\(563\) −4.54106 + 31.5838i −0.191383 + 1.33110i 0.636969 + 0.770890i \(0.280188\pi\)
−0.828352 + 0.560209i \(0.810721\pi\)
\(564\) 3.97394 27.6394i 0.167333 1.16383i
\(565\) 1.81589 + 1.16700i 0.0763949 + 0.0490960i
\(566\) −3.08157 3.55633i −0.129528 0.149484i
\(567\) 2.31904 + 5.07799i 0.0973905 + 0.213256i
\(568\) 4.72922 3.03928i 0.198434 0.127526i
\(569\) 12.7568 + 3.74574i 0.534793 + 0.157029i 0.537968 0.842966i \(-0.319192\pi\)
−0.00317442 + 0.999995i \(0.501010\pi\)
\(570\) −8.88635 + 10.2554i −0.372208 + 0.429551i
\(571\) −7.08002 + 2.07888i −0.296290 + 0.0869985i −0.426499 0.904488i \(-0.640253\pi\)
0.130209 + 0.991487i \(0.458435\pi\)
\(572\) 0.148282 0.324693i 0.00619999 0.0135761i
\(573\) −2.72395 18.9455i −0.113795 0.791459i
\(574\) 4.59207 0.191669
\(575\) −8.70598 + 19.9620i −0.363065 + 0.832474i
\(576\) 3.88066 0.161694
\(577\) 0.408290 + 2.83972i 0.0169973 + 0.118219i 0.996554 0.0829513i \(-0.0264346\pi\)
−0.979556 + 0.201170i \(0.935526\pi\)
\(578\) 18.4861 40.4789i 0.768920 1.68370i
\(579\) 9.24939 2.71586i 0.384391 0.112867i
\(580\) 1.72853 1.99483i 0.0717732 0.0828307i
\(581\) −14.9139 4.37912i −0.618733 0.181676i
\(582\) −13.8427 + 8.89617i −0.573799 + 0.368758i
\(583\) 8.67094 + 18.9867i 0.359114 + 0.786350i
\(584\) −2.80899 3.24175i −0.116237 0.134144i
\(585\) −0.212094 0.136305i −0.00876901 0.00563550i
\(586\) 0.787864 5.47972i 0.0325464 0.226365i
\(587\) 0.595187 4.13962i 0.0245660 0.170860i −0.973845 0.227214i \(-0.927038\pi\)
0.998411 + 0.0563536i \(0.0179474\pi\)
\(588\) −2.20669 1.41816i −0.0910025 0.0584837i
\(589\) 2.91383 + 3.36274i 0.120062 + 0.138559i
\(590\) 0.0788624 + 0.172684i 0.00324671 + 0.00710931i
\(591\) −23.9884 + 15.4164i −0.986751 + 0.634146i
\(592\) 6.24668 + 1.83419i 0.256737 + 0.0753847i
\(593\) 7.67256 8.85461i 0.315074 0.363615i −0.576018 0.817437i \(-0.695394\pi\)
0.891092 + 0.453822i \(0.149940\pi\)
\(594\) 8.25050 2.42257i 0.338522 0.0993991i
\(595\) 2.20712 4.83292i 0.0904831 0.198130i
\(596\) −0.312315 2.17220i −0.0127929 0.0889767i
\(597\) −58.0786 −2.37700
\(598\) 0.382566 0.255231i 0.0156443 0.0104372i
\(599\) −39.6734 −1.62101 −0.810506 0.585731i \(-0.800808\pi\)
−0.810506 + 0.585731i \(0.800808\pi\)
\(600\) −1.69518 11.7903i −0.0692056 0.481336i
\(601\) 11.9173 26.0952i 0.486116 1.06445i −0.494620 0.869109i \(-0.664693\pi\)
0.980736 0.195336i \(-0.0625799\pi\)
\(602\) 1.26485 0.371394i 0.0515515 0.0151369i
\(603\) 39.5700 45.6662i 1.61141 1.85967i
\(604\) −17.2096 5.05319i −0.700248 0.205611i
\(605\) −1.62766 + 1.04603i −0.0661736 + 0.0425272i
\(606\) −7.94170 17.3899i −0.322609 0.706416i
\(607\) 6.36359 + 7.34397i 0.258290 + 0.298083i 0.870053 0.492959i \(-0.164085\pi\)
−0.611763 + 0.791041i \(0.709539\pi\)
\(608\) 6.42364 + 4.12822i 0.260513 + 0.167421i
\(609\) −1.45441 + 10.1157i −0.0589357 + 0.409907i
\(610\) 0.613886 4.26967i 0.0248555 0.172874i
\(611\) 0.858765 + 0.551895i 0.0347419 + 0.0223273i
\(612\) −19.9293 22.9997i −0.805596 0.929707i
\(613\) 9.68888 + 21.2157i 0.391330 + 0.856894i 0.998076 + 0.0619981i \(0.0197473\pi\)
−0.606746 + 0.794896i \(0.707525\pi\)
\(614\) 27.6966 17.7995i 1.11774 0.718330i
\(615\) 7.83016 + 2.29914i 0.315743 + 0.0927104i
\(616\) 2.43761 2.81316i 0.0982143 0.113345i
\(617\) −20.4005 + 5.99013i −0.821293 + 0.241153i −0.665273 0.746600i \(-0.731685\pi\)
−0.156020 + 0.987754i \(0.549867\pi\)
\(618\) −0.620873 + 1.35952i −0.0249752 + 0.0546880i
\(619\) −2.16219 15.0384i −0.0869059 0.604444i −0.986007 0.166703i \(-0.946688\pi\)
0.899101 0.437741i \(-0.144221\pi\)
\(620\) 0.394790 0.0158551
\(621\) 10.6818 + 2.93855i 0.428646 + 0.117920i
\(622\) 31.9447 1.28086
\(623\) 0.0956575 + 0.665312i 0.00383244 + 0.0266552i
\(624\) −0.104493 + 0.228808i −0.00418308 + 0.00915966i
\(625\) −17.5834 + 5.16295i −0.703336 + 0.206518i
\(626\) −4.36257 + 5.03468i −0.174364 + 0.201226i
\(627\) 71.5364 + 21.0050i 2.85689 + 0.838858i
\(628\) −1.19240 + 0.766312i −0.0475821 + 0.0305792i
\(629\) −21.2094 46.4421i −0.845674 1.85177i
\(630\) −1.72171 1.98696i −0.0685945 0.0791623i
\(631\) 18.1736 + 11.6795i 0.723479 + 0.464952i 0.849846 0.527032i \(-0.176695\pi\)
−0.126366 + 0.991984i \(0.540331\pi\)
\(632\) 2.16106 15.0305i 0.0859622 0.597880i
\(633\) 4.05533 28.2054i 0.161185 1.12107i
\(634\) −11.1710 7.17916i −0.443657 0.285121i
\(635\) 2.02093 + 2.33228i 0.0801982 + 0.0925536i
\(636\) −6.11034 13.3798i −0.242291 0.530543i
\(637\) 0.0806711 0.0518442i 0.00319631 0.00205414i
\(638\) −13.9149 4.08578i −0.550896 0.161758i
\(639\) −14.2862 + 16.4872i −0.565153 + 0.652222i
\(640\) 0.650051 0.190872i 0.0256955 0.00754488i
\(641\) −8.86023 + 19.4012i −0.349958 + 0.766301i 0.650022 + 0.759916i \(0.274760\pi\)
−0.999980 + 0.00638539i \(0.997967\pi\)
\(642\) 2.20230 + 15.3174i 0.0869180 + 0.604528i
\(643\) −1.47922 −0.0583348 −0.0291674 0.999575i \(-0.509286\pi\)
−0.0291674 + 0.999575i \(0.509286\pi\)
\(644\) 4.57773 1.42982i 0.180388 0.0563426i
\(645\) 2.34271 0.0922440
\(646\) −8.52203 59.2720i −0.335295 2.33203i
\(647\) 1.20529 2.63922i 0.0473849 0.103758i −0.884459 0.466618i \(-0.845472\pi\)
0.931844 + 0.362860i \(0.118200\pi\)
\(648\) 5.35634 1.57276i 0.210417 0.0617839i
\(649\) 0.683042 0.788272i 0.0268117 0.0309424i
\(650\) 0.417816 + 0.122682i 0.0163881 + 0.00481197i
\(651\) −1.28589 + 0.826389i −0.0503979 + 0.0323887i
\(652\) 3.02038 + 6.61370i 0.118287 + 0.259012i
\(653\) −11.7646 13.5771i −0.460386 0.531314i 0.477327 0.878726i \(-0.341606\pi\)
−0.937712 + 0.347412i \(0.887060\pi\)
\(654\) 10.4391 + 6.70881i 0.408202 + 0.262335i
\(655\) 0.966517 6.72227i 0.0377649 0.262661i
\(656\) 0.653520 4.54533i 0.0255157 0.177465i
\(657\) 14.0034 + 8.99944i 0.546324 + 0.351101i
\(658\) 6.97116 + 8.04515i 0.271764 + 0.313633i
\(659\) −4.03489 8.83518i −0.157177 0.344170i 0.814618 0.579998i \(-0.196947\pi\)
−0.971795 + 0.235829i \(0.924220\pi\)
\(660\) 5.56498 3.57639i 0.216616 0.139211i
\(661\) 18.6053 + 5.46301i 0.723663 + 0.212487i 0.622763 0.782410i \(-0.286010\pi\)
0.100899 + 0.994897i \(0.467828\pi\)
\(662\) −11.8402 + 13.6643i −0.460183 + 0.531079i
\(663\) 1.89272 0.555753i 0.0735072 0.0215837i
\(664\) −6.45701 + 14.1389i −0.250581 + 0.548695i
\(665\) −0.736223 5.12055i −0.0285495 0.198566i
\(666\) −25.2646 −0.978984
\(667\) −12.4761 13.9091i −0.483077 0.538564i
\(668\) 16.2189 0.627528
\(669\) −5.67515 39.4715i −0.219414 1.52606i
\(670\) 4.38227 9.59583i 0.169302 0.370719i
\(671\) −22.7400 + 6.67706i −0.877867 + 0.257765i
\(672\) −1.71777 + 1.98241i −0.0662643 + 0.0764730i
\(673\) 26.6567 + 7.82711i 1.02754 + 0.301713i 0.751710 0.659494i \(-0.229229\pi\)
0.275830 + 0.961207i \(0.411047\pi\)
\(674\) −21.4707 + 13.7984i −0.827020 + 0.531493i
\(675\) 4.35769 + 9.54201i 0.167728 + 0.367272i
\(676\) 8.50717 + 9.81779i 0.327199 + 0.377607i
\(677\) 34.6919 + 22.2951i 1.33332 + 0.856872i 0.996409 0.0846655i \(-0.0269822\pi\)
0.336909 + 0.941537i \(0.390619\pi\)
\(678\) −1.18938 + 8.27234i −0.0456780 + 0.317697i
\(679\) 0.892749 6.20921i 0.0342606 0.238288i
\(680\) −4.46962 2.87245i −0.171402 0.110154i
\(681\) 4.55582 + 5.25769i 0.174579 + 0.201475i
\(682\) −0.901071 1.97307i −0.0345038 0.0755528i
\(683\) 14.4220 9.26847i 0.551843 0.354648i −0.234812 0.972041i \(-0.575447\pi\)
0.786655 + 0.617393i \(0.211811\pi\)
\(684\) −28.4316 8.34827i −1.08711 0.319204i
\(685\) 6.30314 7.27421i 0.240830 0.277933i
\(686\) 0.959493 0.281733i 0.0366336 0.0107566i
\(687\) 18.6987 40.9445i 0.713402 1.56213i
\(688\) −0.187607 1.30483i −0.00715243 0.0497463i
\(689\) 0.537724 0.0204856
\(690\) 8.52159 0.146085i 0.324411 0.00556135i
\(691\) 3.70717 0.141027 0.0705137 0.997511i \(-0.477536\pi\)
0.0705137 + 0.997511i \(0.477536\pi\)
\(692\) −1.00482 6.98867i −0.0381975 0.265669i
\(693\) −6.00072 + 13.1398i −0.227949 + 0.499138i
\(694\) 14.3391 4.21034i 0.544305 0.159822i
\(695\) −7.20107 + 8.31048i −0.273152 + 0.315234i
\(696\) 9.80571 + 2.87921i 0.371684 + 0.109136i
\(697\) −30.2952 + 19.4696i −1.14751 + 0.737462i
\(698\) −7.66117 16.7756i −0.289980 0.634967i
\(699\) −34.0069 39.2460i −1.28626 1.48442i
\(700\) 3.82013 + 2.45505i 0.144387 + 0.0927922i
\(701\) −3.55462 + 24.7230i −0.134256 + 0.933773i 0.805662 + 0.592375i \(0.201810\pi\)
−0.939919 + 0.341398i \(0.889100\pi\)
\(702\) 0.0315256 0.219266i 0.00118986 0.00827564i
\(703\) −41.8204 26.8763i −1.57729 1.01366i
\(704\) −2.43761 2.81316i −0.0918711 0.106025i
\(705\) 7.85885 + 17.2085i 0.295981 + 0.648109i
\(706\) −25.6648 + 16.4937i −0.965906 + 0.620750i
\(707\) 6.99291 + 2.05330i 0.262995 + 0.0772224i
\(708\) −0.481334 + 0.555489i −0.0180896 + 0.0208765i
\(709\) −4.10506 + 1.20535i −0.154169 + 0.0452680i −0.357906 0.933758i \(-0.616509\pi\)
0.203738 + 0.979026i \(0.434691\pi\)
\(710\) −1.58216 + 3.46444i −0.0593773 + 0.130018i
\(711\) 8.38632 + 58.3282i 0.314512 + 2.18748i
\(712\) 0.672154 0.0251900
\(713\) 0.350246 2.77260i 0.0131168 0.103835i
\(714\) 20.5709 0.769847
\(715\) 0.0344162 + 0.239370i 0.00128709 + 0.00895192i
\(716\) −6.06174 + 13.2734i −0.226538 + 0.496049i
\(717\) 62.1522 18.2495i 2.32112 0.681541i
\(718\) −3.67603 + 4.24236i −0.137188 + 0.158324i
\(719\) 6.60181 + 1.93847i 0.246206 + 0.0722926i 0.402507 0.915417i \(-0.368139\pi\)
−0.156301 + 0.987709i \(0.549957\pi\)
\(720\) −2.21176 + 1.42141i −0.0824274 + 0.0529728i
\(721\) −0.236694 0.518288i −0.00881496 0.0193021i
\(722\) −25.7395 29.7050i −0.957926 1.10551i
\(723\) −3.35621 2.15691i −0.124819 0.0802162i
\(724\) 1.75066 12.1761i 0.0650626 0.452520i
\(725\) 2.51782 17.5118i 0.0935093 0.650372i
\(726\) −6.30191 4.04999i −0.233886 0.150309i
\(727\) 20.4951 + 23.6527i 0.760123 + 0.877229i 0.995508 0.0946736i \(-0.0301807\pi\)
−0.235386 + 0.971902i \(0.575635\pi\)
\(728\) −0.0398358 0.0872282i −0.00147641 0.00323289i
\(729\) −33.5174 + 21.5403i −1.24138 + 0.797789i
\(730\) 2.78836 + 0.818735i 0.103202 + 0.0303027i
\(731\) −6.76995 + 7.81294i −0.250396 + 0.288972i
\(732\) 16.0247 4.70526i 0.592288 0.173912i
\(733\) −20.1425 + 44.1059i −0.743979 + 1.62909i 0.0329163 + 0.999458i \(0.489521\pi\)
−0.776896 + 0.629629i \(0.783207\pi\)
\(734\) −0.281823 1.96012i −0.0104023 0.0723494i
\(735\) 1.77713 0.0655506
\(736\) −0.763783 4.73462i −0.0281534 0.174520i
\(737\) −57.9599 −2.13498
\(738\) 2.53609 + 17.6389i 0.0933547 + 0.649296i
\(739\) 9.21312 20.1739i 0.338910 0.742109i −0.661056 0.750336i \(-0.729892\pi\)
0.999966 + 0.00822706i \(0.00261878\pi\)
\(740\) −4.23209 + 1.24265i −0.155575 + 0.0456808i
\(741\) 1.25779 1.45157i 0.0462062 0.0533248i
\(742\) 5.38034 + 1.57981i 0.197519 + 0.0579967i
\(743\) 38.2405 24.5756i 1.40291 0.901593i 0.402999 0.915201i \(-0.367968\pi\)
0.999907 + 0.0136075i \(0.00433152\pi\)
\(744\) 0.634977 + 1.39041i 0.0232794 + 0.0509747i
\(745\) 0.973636 + 1.12364i 0.0356713 + 0.0411669i
\(746\) −27.0836 17.4056i −0.991603 0.637264i
\(747\) 8.58430 59.7051i 0.314083 2.18450i
\(748\) −4.15437 + 28.8943i −0.151899 + 1.05648i
\(749\) −4.96294 3.18949i −0.181342 0.116541i
\(750\) 11.1036 + 12.8142i 0.405446 + 0.467909i
\(751\) −14.8702 32.5611i −0.542620 1.18817i −0.960144 0.279506i \(-0.909829\pi\)
0.417524 0.908666i \(-0.362898\pi\)
\(752\) 8.95536 5.75526i 0.326569 0.209873i
\(753\) 73.3480 + 21.5369i 2.67295 + 0.784849i
\(754\) −0.244660 + 0.282352i −0.00890997 + 0.0102827i
\(755\) 11.6594 3.42351i 0.424329 0.124594i
\(756\) 0.959632 2.10130i 0.0349015 0.0764236i
\(757\) −5.47895 38.1069i −0.199136 1.38502i −0.806799 0.590825i \(-0.798802\pi\)
0.607664 0.794195i \(-0.292107\pi\)
\(758\) 17.3829 0.631375
\(759\) −20.1798 42.2555i −0.732481 1.53378i
\(760\) −5.17320 −0.187652
\(761\) −0.407868 2.83678i −0.0147852 0.102833i 0.981093 0.193539i \(-0.0619967\pi\)
−0.995878 + 0.0907061i \(0.971088\pi\)
\(762\) −4.96357 + 10.8687i −0.179811 + 0.393732i
\(763\) −4.53904 + 1.33278i −0.164324 + 0.0482499i
\(764\) 4.77840 5.51457i 0.172876 0.199510i
\(765\) 19.7830 + 5.80880i 0.715254 + 0.210018i
\(766\) −18.4619 + 11.8647i −0.667055 + 0.428690i
\(767\) −0.0111623 0.0244421i −0.000403049 0.000882554i
\(768\) 1.71777 + 1.98241i 0.0619845 + 0.0715340i
\(769\) 33.4193 + 21.4773i 1.20513 + 0.774491i 0.979837 0.199800i \(-0.0640292\pi\)
0.225295 + 0.974291i \(0.427666\pi\)
\(770\) −0.358898 + 2.49619i −0.0129338 + 0.0899566i
\(771\) −6.14164 + 42.7160i −0.221186 + 1.53838i
\(772\) 3.09160 + 1.98685i 0.111269 + 0.0715083i
\(773\) −18.0851 20.8713i −0.650475 0.750688i 0.330715 0.943731i \(-0.392710\pi\)