Properties

Label 690.2.m.g.121.3
Level $690$
Weight $2$
Character 690.121
Analytic conductor $5.510$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.m (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 121.3
Character \(\chi\) \(=\) 690.121
Dual form 690.2.m.g.211.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.415415 - 0.909632i) q^{2} +(-0.959493 - 0.281733i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(0.841254 - 0.540641i) q^{5} +(-0.654861 + 0.755750i) q^{6} +(0.743473 - 5.17097i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(0.841254 + 0.540641i) q^{9} +O(q^{10})\) \(q+(0.415415 - 0.909632i) q^{2} +(-0.959493 - 0.281733i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(0.841254 - 0.540641i) q^{5} +(-0.654861 + 0.755750i) q^{6} +(0.743473 - 5.17097i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(0.841254 + 0.540641i) q^{9} +(-0.142315 - 0.989821i) q^{10} +(1.65538 + 3.62478i) q^{11} +(0.415415 + 0.909632i) q^{12} +(-0.717955 - 4.99349i) q^{13} +(-4.39483 - 2.82439i) q^{14} +(-0.959493 + 0.281733i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-1.53793 + 1.77487i) q^{17} +(0.841254 - 0.540641i) q^{18} +(1.97472 + 2.27895i) q^{19} +(-0.959493 - 0.281733i) q^{20} +(-2.17019 + 4.75205i) q^{21} +3.98489 q^{22} +(-3.56624 - 3.20655i) q^{23} +1.00000 q^{24} +(0.415415 - 0.909632i) q^{25} +(-4.84049 - 1.42130i) q^{26} +(-0.654861 - 0.755750i) q^{27} +(-4.39483 + 2.82439i) q^{28} +(4.46963 - 5.15823i) q^{29} +(-0.142315 + 0.989821i) q^{30} +(-7.85431 + 2.30623i) q^{31} +(0.841254 + 0.540641i) q^{32} +(-0.567109 - 3.94433i) q^{33} +(0.975595 + 2.13626i) q^{34} +(-2.17019 - 4.75205i) q^{35} +(-0.142315 - 0.989821i) q^{36} +(-0.311508 - 0.200194i) q^{37} +(2.89333 - 0.849559i) q^{38} +(-0.717955 + 4.99349i) q^{39} +(-0.654861 + 0.755750i) q^{40} +(1.62078 - 1.04161i) q^{41} +(3.42109 + 3.94814i) q^{42} +(-10.6622 - 3.13069i) q^{43} +(1.65538 - 3.62478i) q^{44} +1.00000 q^{45} +(-4.39825 + 1.91192i) q^{46} +4.92653 q^{47} +(0.415415 - 0.909632i) q^{48} +(-19.4697 - 5.71683i) q^{49} +(-0.654861 - 0.755750i) q^{50} +(1.97567 - 1.26969i) q^{51} +(-3.30367 + 3.81263i) q^{52} +(-0.316357 + 2.20031i) q^{53} +(-0.959493 + 0.281733i) q^{54} +(3.35230 + 2.15439i) q^{55} +(0.743473 + 5.17097i) q^{56} +(-1.25268 - 2.74298i) q^{57} +(-2.83534 - 6.20852i) q^{58} +(0.310817 + 2.16178i) q^{59} +(0.841254 + 0.540641i) q^{60} +(12.6607 - 3.71752i) q^{61} +(-1.16497 + 8.10258i) q^{62} +(3.42109 - 3.94814i) q^{63} +(0.841254 - 0.540641i) q^{64} +(-3.30367 - 3.81263i) q^{65} +(-3.82347 - 1.12267i) q^{66} +(-0.852560 + 1.86685i) q^{67} +2.34848 q^{68} +(2.51839 + 4.08138i) q^{69} -5.22414 q^{70} +(3.15425 - 6.90685i) q^{71} +(-0.959493 - 0.281733i) q^{72} +(9.98981 + 11.5289i) q^{73} +(-0.311508 + 0.200194i) q^{74} +(-0.654861 + 0.755750i) q^{75} +(0.429148 - 2.98479i) q^{76} +(19.9744 - 5.86501i) q^{77} +(4.24399 + 2.72745i) q^{78} +(0.615851 + 4.28334i) q^{79} +(0.415415 + 0.909632i) q^{80} +(0.415415 + 0.909632i) q^{81} +(-0.274188 - 1.90702i) q^{82} +(-7.64258 - 4.91159i) q^{83} +(5.01253 - 1.47181i) q^{84} +(-0.334224 + 2.32458i) q^{85} +(-7.27700 + 8.39810i) q^{86} +(-5.74182 + 3.69004i) q^{87} +(-2.60955 - 3.01158i) q^{88} +(3.93784 + 1.15625i) q^{89} +(0.415415 - 0.909632i) q^{90} -26.3550 q^{91} +(-0.0879548 + 4.79502i) q^{92} +8.18590 q^{93} +(2.04655 - 4.48133i) q^{94} +(2.89333 + 0.849559i) q^{95} +(-0.654861 - 0.755750i) q^{96} +(6.57851 - 4.22775i) q^{97} +(-13.2882 + 15.3354i) q^{98} +(-0.567109 + 3.94433i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q - 3q^{2} - 3q^{3} - 3q^{4} - 3q^{5} - 3q^{6} - 8q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 30q - 3q^{2} - 3q^{3} - 3q^{4} - 3q^{5} - 3q^{6} - 8q^{7} - 3q^{8} - 3q^{9} - 3q^{10} + 8q^{11} - 3q^{12} - 5q^{13} - 8q^{14} - 3q^{15} - 3q^{16} + 4q^{17} - 3q^{18} + 6q^{19} - 3q^{20} + 3q^{21} + 8q^{22} + q^{23} + 30q^{24} - 3q^{25} - 5q^{26} - 3q^{27} - 8q^{28} - 10q^{29} - 3q^{30} - 10q^{31} - 3q^{32} - 14q^{33} - 7q^{34} + 3q^{35} - 3q^{36} - 12q^{37} - 5q^{38} - 5q^{39} - 3q^{40} + 5q^{41} + 3q^{42} + 2q^{43} + 8q^{44} + 30q^{45} - 21q^{46} + 96q^{47} - 3q^{48} - 43q^{49} - 3q^{50} + 15q^{51} - 16q^{52} + 12q^{53} - 3q^{54} + 8q^{55} - 8q^{56} + 17q^{57} + q^{58} - 9q^{59} - 3q^{60} + q^{61} - 32q^{62} + 3q^{63} - 3q^{64} - 16q^{65} - 3q^{66} - 28q^{67} + 4q^{68} + 23q^{69} + 14q^{70} + 3q^{71} - 3q^{72} - 27q^{73} - 12q^{74} - 3q^{75} - 16q^{76} + 47q^{77} + 6q^{78} + 2q^{79} - 3q^{80} - 3q^{81} + 27q^{82} + 11q^{83} + 3q^{84} - 7q^{85} + 2q^{86} - 32q^{87} - 3q^{88} + 25q^{89} - 3q^{90} - 90q^{91} - 10q^{92} + 56q^{93} - 25q^{94} - 5q^{95} - 3q^{96} - 7q^{97} - 32q^{98} - 14q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{9}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.415415 0.909632i 0.293743 0.643207i
\(3\) −0.959493 0.281733i −0.553964 0.162658i
\(4\) −0.654861 0.755750i −0.327430 0.377875i
\(5\) 0.841254 0.540641i 0.376220 0.241782i
\(6\) −0.654861 + 0.755750i −0.267346 + 0.308533i
\(7\) 0.743473 5.17097i 0.281006 1.95444i −0.0169292 0.999857i \(-0.505389\pi\)
0.297936 0.954586i \(-0.403702\pi\)
\(8\) −0.959493 + 0.281733i −0.339232 + 0.0996075i
\(9\) 0.841254 + 0.540641i 0.280418 + 0.180214i
\(10\) −0.142315 0.989821i −0.0450039 0.313009i
\(11\) 1.65538 + 3.62478i 0.499117 + 1.09291i 0.976755 + 0.214357i \(0.0687656\pi\)
−0.477639 + 0.878556i \(0.658507\pi\)
\(12\) 0.415415 + 0.909632i 0.119920 + 0.262588i
\(13\) −0.717955 4.99349i −0.199125 1.38494i −0.806831 0.590783i \(-0.798819\pi\)
0.607706 0.794162i \(-0.292090\pi\)
\(14\) −4.39483 2.82439i −1.17457 0.754849i
\(15\) −0.959493 + 0.281733i −0.247740 + 0.0727430i
\(16\) −0.142315 + 0.989821i −0.0355787 + 0.247455i
\(17\) −1.53793 + 1.77487i −0.373003 + 0.430468i −0.910954 0.412508i \(-0.864653\pi\)
0.537951 + 0.842976i \(0.319198\pi\)
\(18\) 0.841254 0.540641i 0.198285 0.127430i
\(19\) 1.97472 + 2.27895i 0.453032 + 0.522827i 0.935614 0.353024i \(-0.114847\pi\)
−0.482582 + 0.875851i \(0.660301\pi\)
\(20\) −0.959493 0.281733i −0.214549 0.0629973i
\(21\) −2.17019 + 4.75205i −0.473574 + 1.03698i
\(22\) 3.98489 0.849581
\(23\) −3.56624 3.20655i −0.743612 0.668611i
\(24\) 1.00000 0.204124
\(25\) 0.415415 0.909632i 0.0830830 0.181926i
\(26\) −4.84049 1.42130i −0.949298 0.278739i
\(27\) −0.654861 0.755750i −0.126028 0.145444i
\(28\) −4.39483 + 2.82439i −0.830545 + 0.533759i
\(29\) 4.46963 5.15823i 0.829989 0.957859i −0.169629 0.985508i \(-0.554257\pi\)
0.999618 + 0.0276495i \(0.00880224\pi\)
\(30\) −0.142315 + 0.989821i −0.0259830 + 0.180716i
\(31\) −7.85431 + 2.30623i −1.41068 + 0.414212i −0.896336 0.443375i \(-0.853781\pi\)
−0.514340 + 0.857587i \(0.671963\pi\)
\(32\) 0.841254 + 0.540641i 0.148714 + 0.0955727i
\(33\) −0.567109 3.94433i −0.0987210 0.686620i
\(34\) 0.975595 + 2.13626i 0.167313 + 0.366365i
\(35\) −2.17019 4.75205i −0.366829 0.803243i
\(36\) −0.142315 0.989821i −0.0237191 0.164970i
\(37\) −0.311508 0.200194i −0.0512117 0.0329117i 0.514784 0.857320i \(-0.327872\pi\)
−0.565996 + 0.824408i \(0.691508\pi\)
\(38\) 2.89333 0.849559i 0.469361 0.137817i
\(39\) −0.717955 + 4.99349i −0.114965 + 0.799598i
\(40\) −0.654861 + 0.755750i −0.103543 + 0.119494i
\(41\) 1.62078 1.04161i 0.253124 0.162673i −0.407926 0.913015i \(-0.633748\pi\)
0.661049 + 0.750342i \(0.270111\pi\)
\(42\) 3.42109 + 3.94814i 0.527885 + 0.609212i
\(43\) −10.6622 3.13069i −1.62596 0.477426i −0.663351 0.748308i \(-0.730866\pi\)
−0.962612 + 0.270883i \(0.912684\pi\)
\(44\) 1.65538 3.62478i 0.249558 0.546457i
\(45\) 1.00000 0.149071
\(46\) −4.39825 + 1.91192i −0.648486 + 0.281897i
\(47\) 4.92653 0.718608 0.359304 0.933221i \(-0.383014\pi\)
0.359304 + 0.933221i \(0.383014\pi\)
\(48\) 0.415415 0.909632i 0.0599600 0.131294i
\(49\) −19.4697 5.71683i −2.78139 0.816689i
\(50\) −0.654861 0.755750i −0.0926113 0.106879i
\(51\) 1.97567 1.26969i 0.276649 0.177792i
\(52\) −3.30367 + 3.81263i −0.458136 + 0.528717i
\(53\) −0.316357 + 2.20031i −0.0434550 + 0.302236i 0.956490 + 0.291764i \(0.0942423\pi\)
−0.999945 + 0.0104715i \(0.996667\pi\)
\(54\) −0.959493 + 0.281733i −0.130570 + 0.0383389i
\(55\) 3.35230 + 2.15439i 0.452024 + 0.290498i
\(56\) 0.743473 + 5.17097i 0.0993508 + 0.691000i
\(57\) −1.25268 2.74298i −0.165921 0.363316i
\(58\) −2.83534 6.20852i −0.372298 0.815219i
\(59\) 0.310817 + 2.16178i 0.0404650 + 0.281440i 1.00000 0.000149215i \(-4.74966e-5\pi\)
−0.959535 + 0.281589i \(0.909138\pi\)
\(60\) 0.841254 + 0.540641i 0.108605 + 0.0697964i
\(61\) 12.6607 3.71752i 1.62104 0.475980i 0.659740 0.751494i \(-0.270666\pi\)
0.961297 + 0.275514i \(0.0888481\pi\)
\(62\) −1.16497 + 8.10258i −0.147952 + 1.02903i
\(63\) 3.42109 3.94814i 0.431016 0.497419i
\(64\) 0.841254 0.540641i 0.105157 0.0675801i
\(65\) −3.30367 3.81263i −0.409769 0.472899i
\(66\) −3.82347 1.12267i −0.470637 0.138192i
\(67\) −0.852560 + 1.86685i −0.104157 + 0.228071i −0.954534 0.298102i \(-0.903646\pi\)
0.850377 + 0.526173i \(0.176374\pi\)
\(68\) 2.34848 0.284795
\(69\) 2.51839 + 4.08138i 0.303179 + 0.491341i
\(70\) −5.22414 −0.624405
\(71\) 3.15425 6.90685i 0.374341 0.819692i −0.624899 0.780706i \(-0.714860\pi\)
0.999240 0.0389866i \(-0.0124130\pi\)
\(72\) −0.959493 0.281733i −0.113077 0.0332025i
\(73\) 9.98981 + 11.5289i 1.16922 + 1.34935i 0.925154 + 0.379592i \(0.123936\pi\)
0.244065 + 0.969759i \(0.421519\pi\)
\(74\) −0.311508 + 0.200194i −0.0362121 + 0.0232721i
\(75\) −0.654861 + 0.755750i −0.0756168 + 0.0872664i
\(76\) 0.429148 2.98479i 0.0492266 0.342379i
\(77\) 19.9744 5.86501i 2.27629 0.668380i
\(78\) 4.24399 + 2.72745i 0.480537 + 0.308822i
\(79\) 0.615851 + 4.28334i 0.0692887 + 0.481913i 0.994689 + 0.102923i \(0.0328196\pi\)
−0.925401 + 0.378990i \(0.876271\pi\)
\(80\) 0.415415 + 0.909632i 0.0464448 + 0.101700i
\(81\) 0.415415 + 0.909632i 0.0461572 + 0.101070i
\(82\) −0.274188 1.90702i −0.0302790 0.210595i
\(83\) −7.64258 4.91159i −0.838882 0.539117i 0.0492068 0.998789i \(-0.484331\pi\)
−0.888089 + 0.459672i \(0.847967\pi\)
\(84\) 5.01253 1.47181i 0.546912 0.160588i
\(85\) −0.334224 + 2.32458i −0.0362517 + 0.252136i
\(86\) −7.27700 + 8.39810i −0.784699 + 0.905591i
\(87\) −5.74182 + 3.69004i −0.615587 + 0.395614i
\(88\) −2.60955 3.01158i −0.278179 0.321035i
\(89\) 3.93784 + 1.15625i 0.417410 + 0.122563i 0.483692 0.875238i \(-0.339295\pi\)
−0.0662817 + 0.997801i \(0.521114\pi\)
\(90\) 0.415415 0.909632i 0.0437886 0.0958836i
\(91\) −26.3550 −2.76275
\(92\) −0.0879548 + 4.79502i −0.00916992 + 0.499916i
\(93\) 8.18590 0.848838
\(94\) 2.04655 4.48133i 0.211086 0.462214i
\(95\) 2.89333 + 0.849559i 0.296850 + 0.0871629i
\(96\) −0.654861 0.755750i −0.0668364 0.0771334i
\(97\) 6.57851 4.22775i 0.667947 0.429263i −0.162238 0.986752i \(-0.551871\pi\)
0.830185 + 0.557488i \(0.188235\pi\)
\(98\) −13.2882 + 15.3354i −1.34231 + 1.54911i
\(99\) −0.567109 + 3.94433i −0.0569966 + 0.396420i
\(100\) −0.959493 + 0.281733i −0.0959493 + 0.0281733i
\(101\) 6.56202 + 4.21715i 0.652945 + 0.419622i 0.824741 0.565510i \(-0.191321\pi\)
−0.171796 + 0.985133i \(0.554957\pi\)
\(102\) −0.334224 2.32458i −0.0330931 0.230168i
\(103\) 4.74954 + 10.4000i 0.467986 + 1.02475i 0.985594 + 0.169129i \(0.0540954\pi\)
−0.517608 + 0.855618i \(0.673177\pi\)
\(104\) 2.09570 + 4.58895i 0.205500 + 0.449983i
\(105\) 0.743473 + 5.17097i 0.0725555 + 0.504635i
\(106\) 1.87005 + 1.20181i 0.181636 + 0.116730i
\(107\) 3.30926 0.971687i 0.319918 0.0939365i −0.117831 0.993034i \(-0.537594\pi\)
0.437749 + 0.899097i \(0.355776\pi\)
\(108\) −0.142315 + 0.989821i −0.0136943 + 0.0952456i
\(109\) 10.6664 12.3097i 1.02165 1.17905i 0.0379449 0.999280i \(-0.487919\pi\)
0.983708 0.179771i \(-0.0575357\pi\)
\(110\) 3.35230 2.15439i 0.319630 0.205413i
\(111\) 0.242489 + 0.279847i 0.0230160 + 0.0265619i
\(112\) 5.01253 + 1.47181i 0.473639 + 0.139073i
\(113\) −6.12379 + 13.4092i −0.576077 + 1.26143i 0.367420 + 0.930055i \(0.380241\pi\)
−0.943498 + 0.331379i \(0.892486\pi\)
\(114\) −3.01548 −0.282426
\(115\) −4.73370 0.769463i −0.441420 0.0717528i
\(116\) −6.82531 −0.633714
\(117\) 2.09570 4.58895i 0.193748 0.424248i
\(118\) 2.09555 + 0.615308i 0.192911 + 0.0566437i
\(119\) 8.03436 + 9.27215i 0.736509 + 0.849977i
\(120\) 0.841254 0.540641i 0.0767956 0.0493535i
\(121\) −3.19530 + 3.68757i −0.290481 + 0.335233i
\(122\) 1.87787 13.0609i 0.170015 1.18248i
\(123\) −1.84859 + 0.542794i −0.166681 + 0.0489421i
\(124\) 6.88641 + 4.42563i 0.618418 + 0.397433i
\(125\) −0.142315 0.989821i −0.0127290 0.0885323i
\(126\) −2.17019 4.75205i −0.193336 0.423346i
\(127\) −1.08832 2.38309i −0.0965727 0.211465i 0.855180 0.518332i \(-0.173447\pi\)
−0.951752 + 0.306867i \(0.900719\pi\)
\(128\) −0.142315 0.989821i −0.0125790 0.0874887i
\(129\) 9.34824 + 6.00775i 0.823067 + 0.528953i
\(130\) −4.84049 + 1.42130i −0.424539 + 0.124656i
\(131\) 0.681088 4.73707i 0.0595069 0.413880i −0.938194 0.346110i \(-0.887503\pi\)
0.997701 0.0677700i \(-0.0215884\pi\)
\(132\) −2.60955 + 3.01158i −0.227132 + 0.262124i
\(133\) 13.2525 8.51688i 1.14914 0.738507i
\(134\) 1.34398 + 1.55103i 0.116102 + 0.133989i
\(135\) −0.959493 0.281733i −0.0825800 0.0242477i
\(136\) 0.975595 2.13626i 0.0836566 0.183182i
\(137\) 20.3355 1.73737 0.868687 0.495361i \(-0.164964\pi\)
0.868687 + 0.495361i \(0.164964\pi\)
\(138\) 4.75874 0.595344i 0.405090 0.0506790i
\(139\) 12.9242 1.09622 0.548108 0.836407i \(-0.315348\pi\)
0.548108 + 0.836407i \(0.315348\pi\)
\(140\) −2.17019 + 4.75205i −0.183414 + 0.401621i
\(141\) −4.72697 1.38796i −0.398083 0.116888i
\(142\) −4.97237 5.73842i −0.417272 0.481557i
\(143\) 16.9118 10.8686i 1.41424 0.908876i
\(144\) −0.654861 + 0.755750i −0.0545717 + 0.0629791i
\(145\) 0.971343 6.75584i 0.0806657 0.561042i
\(146\) 14.6369 4.29779i 1.21136 0.355688i
\(147\) 17.0704 + 10.9705i 1.40795 + 0.904832i
\(148\) 0.0526979 + 0.366522i 0.00433174 + 0.0301279i
\(149\) 0.341269 + 0.747275i 0.0279578 + 0.0612191i 0.923096 0.384570i \(-0.125650\pi\)
−0.895138 + 0.445789i \(0.852923\pi\)
\(150\) 0.415415 + 0.909632i 0.0339185 + 0.0742711i
\(151\) −1.75744 12.2233i −0.143018 0.994714i −0.927303 0.374313i \(-0.877879\pi\)
0.784284 0.620402i \(-0.213030\pi\)
\(152\) −2.53678 1.63029i −0.205760 0.132234i
\(153\) −2.25335 + 0.661644i −0.182173 + 0.0534908i
\(154\) 2.96266 20.6057i 0.238738 1.66046i
\(155\) −5.36062 + 6.18649i −0.430576 + 0.496911i
\(156\) 4.24399 2.72745i 0.339791 0.218370i
\(157\) −6.51924 7.52360i −0.520292 0.600449i 0.433412 0.901196i \(-0.357309\pi\)
−0.953704 + 0.300747i \(0.902764\pi\)
\(158\) 4.15210 + 1.21917i 0.330323 + 0.0969916i
\(159\) 0.923441 2.02205i 0.0732337 0.160359i
\(160\) 1.00000 0.0790569
\(161\) −19.2324 + 16.0569i −1.51572 + 1.26546i
\(162\) 1.00000 0.0785674
\(163\) 2.48216 5.43516i 0.194417 0.425715i −0.787168 0.616739i \(-0.788454\pi\)
0.981585 + 0.191024i \(0.0611808\pi\)
\(164\) −1.84859 0.542794i −0.144350 0.0423851i
\(165\) −2.60955 3.01158i −0.203153 0.234451i
\(166\) −7.64258 + 4.91159i −0.593179 + 0.381213i
\(167\) 13.1985 15.2319i 1.02133 1.17868i 0.0375552 0.999295i \(-0.488043\pi\)
0.983779 0.179387i \(-0.0574116\pi\)
\(168\) 0.743473 5.17097i 0.0573602 0.398949i
\(169\) −11.9461 + 3.50768i −0.918928 + 0.269822i
\(170\) 1.97567 + 1.26969i 0.151527 + 0.0973805i
\(171\) 0.429148 + 2.98479i 0.0328177 + 0.228252i
\(172\) 4.61621 + 10.1081i 0.351983 + 0.770734i
\(173\) 7.50220 + 16.4275i 0.570382 + 1.24896i 0.946594 + 0.322428i \(0.104499\pi\)
−0.376212 + 0.926533i \(0.622774\pi\)
\(174\) 0.971343 + 6.75584i 0.0736373 + 0.512159i
\(175\) −4.39483 2.82439i −0.332218 0.213503i
\(176\) −3.82347 + 1.12267i −0.288205 + 0.0846247i
\(177\) 0.310817 2.16178i 0.0233625 0.162490i
\(178\) 2.68761 3.10166i 0.201445 0.232479i
\(179\) 0.999595 0.642401i 0.0747133 0.0480153i −0.502751 0.864431i \(-0.667679\pi\)
0.577464 + 0.816416i \(0.304042\pi\)
\(180\) −0.654861 0.755750i −0.0488104 0.0563302i
\(181\) −11.6144 3.41030i −0.863293 0.253486i −0.180032 0.983661i \(-0.557620\pi\)
−0.683260 + 0.730175i \(0.739438\pi\)
\(182\) −10.9482 + 23.9733i −0.811538 + 1.77702i
\(183\) −13.1952 −0.975418
\(184\) 4.32517 + 2.07193i 0.318856 + 0.152745i
\(185\) −0.370291 −0.0272243
\(186\) 3.40054 7.44615i 0.249340 0.545978i
\(187\) −8.97937 2.63658i −0.656636 0.192806i
\(188\) −3.22619 3.72322i −0.235294 0.271544i
\(189\) −4.39483 + 2.82439i −0.319677 + 0.205444i
\(190\) 1.97472 2.27895i 0.143261 0.165332i
\(191\) −2.08139 + 14.4764i −0.150604 + 1.04748i 0.764605 + 0.644499i \(0.222934\pi\)
−0.915210 + 0.402978i \(0.867975\pi\)
\(192\) −0.959493 + 0.281733i −0.0692454 + 0.0203323i
\(193\) 10.3420 + 6.64638i 0.744431 + 0.478417i 0.857058 0.515221i \(-0.172290\pi\)
−0.112627 + 0.993637i \(0.535926\pi\)
\(194\) −1.11289 7.74030i −0.0799006 0.555721i
\(195\) 2.09570 + 4.58895i 0.150076 + 0.328621i
\(196\) 8.42947 + 18.4580i 0.602105 + 1.31843i
\(197\) −2.87809 20.0175i −0.205055 1.42619i −0.788998 0.614395i \(-0.789400\pi\)
0.583943 0.811795i \(-0.301509\pi\)
\(198\) 3.35230 + 2.15439i 0.238238 + 0.153106i
\(199\) −21.2313 + 6.23408i −1.50505 + 0.441922i −0.927308 0.374298i \(-0.877884\pi\)
−0.577741 + 0.816220i \(0.696066\pi\)
\(200\) −0.142315 + 0.989821i −0.0100632 + 0.0699909i
\(201\) 1.34398 1.55103i 0.0947968 0.109401i
\(202\) 6.56202 4.21715i 0.461702 0.296718i
\(203\) −23.3500 26.9473i −1.63885 1.89133i
\(204\) −2.25335 0.661644i −0.157766 0.0463244i
\(205\) 0.800350 1.75252i 0.0558989 0.122401i
\(206\) 11.4332 0.796592
\(207\) −1.26652 4.62557i −0.0880294 0.321500i
\(208\) 5.04484 0.349797
\(209\) −4.99178 + 10.9305i −0.345288 + 0.756076i
\(210\) 5.01253 + 1.47181i 0.345897 + 0.101565i
\(211\) −3.88368 4.48201i −0.267364 0.308554i 0.606153 0.795348i \(-0.292712\pi\)
−0.873517 + 0.486794i \(0.838166\pi\)
\(212\) 1.87005 1.20181i 0.128436 0.0825407i
\(213\) −4.97237 + 5.73842i −0.340701 + 0.393190i
\(214\) 0.490840 3.41386i 0.0335531 0.233367i
\(215\) −10.6622 + 3.13069i −0.727153 + 0.213511i
\(216\) 0.841254 + 0.540641i 0.0572401 + 0.0367859i
\(217\) 6.08599 + 42.3290i 0.413144 + 2.87348i
\(218\) −6.76628 14.8161i −0.458270 1.00347i
\(219\) −6.33710 13.8763i −0.428221 0.937674i
\(220\) −0.567109 3.94433i −0.0382345 0.265927i
\(221\) 9.96693 + 6.40536i 0.670449 + 0.430871i
\(222\) 0.355291 0.104323i 0.0238456 0.00700170i
\(223\) 0.456862 3.17755i 0.0305938 0.212784i −0.968790 0.247883i \(-0.920265\pi\)
0.999384 + 0.0350982i \(0.0111744\pi\)
\(224\) 3.42109 3.94814i 0.228581 0.263796i
\(225\) 0.841254 0.540641i 0.0560836 0.0360427i
\(226\) 9.65355 + 11.1408i 0.642144 + 0.741074i
\(227\) 18.0178 + 5.29051i 1.19588 + 0.351143i 0.818278 0.574823i \(-0.194929\pi\)
0.377607 + 0.925966i \(0.376747\pi\)
\(228\) −1.25268 + 2.74298i −0.0829605 + 0.181658i
\(229\) 19.7756 1.30681 0.653403 0.757010i \(-0.273341\pi\)
0.653403 + 0.757010i \(0.273341\pi\)
\(230\) −2.66638 + 3.98628i −0.175816 + 0.262848i
\(231\) −20.8176 −1.36970
\(232\) −2.83534 + 6.20852i −0.186149 + 0.407609i
\(233\) −17.8773 5.24924i −1.17118 0.343889i −0.362412 0.932018i \(-0.618047\pi\)
−0.808767 + 0.588129i \(0.799865\pi\)
\(234\) −3.30367 3.81263i −0.215967 0.249240i
\(235\) 4.14446 2.66348i 0.270355 0.173746i
\(236\) 1.43022 1.65057i 0.0930997 0.107443i
\(237\) 0.615851 4.28334i 0.0400038 0.278233i
\(238\) 11.7718 3.45652i 0.763055 0.224053i
\(239\) 14.0980 + 9.06023i 0.911923 + 0.586058i 0.910304 0.413941i \(-0.135848\pi\)
0.00161968 + 0.999999i \(0.499484\pi\)
\(240\) −0.142315 0.989821i −0.00918638 0.0638927i
\(241\) −6.54823 14.3386i −0.421808 0.923632i −0.994586 0.103921i \(-0.966861\pi\)
0.572777 0.819711i \(-0.305866\pi\)
\(242\) 2.02696 + 4.43841i 0.130298 + 0.285312i
\(243\) −0.142315 0.989821i −0.00912950 0.0634971i
\(244\) −11.1005 7.13387i −0.710638 0.456699i
\(245\) −19.4697 + 5.71683i −1.24387 + 0.365235i
\(246\) −0.274188 + 1.90702i −0.0174816 + 0.121587i
\(247\) 9.96214 11.4969i 0.633876 0.731532i
\(248\) 6.88641 4.42563i 0.437288 0.281028i
\(249\) 5.94925 + 6.86580i 0.377018 + 0.435102i
\(250\) −0.959493 0.281733i −0.0606837 0.0178183i
\(251\) 1.57738 3.45399i 0.0995636 0.218014i −0.853295 0.521428i \(-0.825399\pi\)
0.952859 + 0.303414i \(0.0981267\pi\)
\(252\) −5.22414 −0.329090
\(253\) 5.71954 18.2349i 0.359584 1.14642i
\(254\) −2.61984 −0.164383
\(255\) 0.975595 2.13626i 0.0610941 0.133778i
\(256\) −0.959493 0.281733i −0.0599683 0.0176083i
\(257\) 7.27999 + 8.40156i 0.454113 + 0.524075i 0.935925 0.352200i \(-0.114566\pi\)
−0.481811 + 0.876275i \(0.660021\pi\)
\(258\) 9.34824 6.00775i 0.581996 0.374026i
\(259\) −1.26680 + 1.46196i −0.0787149 + 0.0908419i
\(260\) −0.717955 + 4.99349i −0.0445257 + 0.309683i
\(261\) 6.54884 1.92291i 0.405363 0.119025i
\(262\) −4.02606 2.58739i −0.248731 0.159849i
\(263\) −1.51364 10.5276i −0.0933350 0.649160i −0.981758 0.190134i \(-0.939108\pi\)
0.888423 0.459025i \(-0.151801\pi\)
\(264\) 1.65538 + 3.62478i 0.101882 + 0.223090i
\(265\) 0.923441 + 2.02205i 0.0567265 + 0.124214i
\(266\) −2.24193 15.5930i −0.137461 0.956066i
\(267\) −3.45258 2.21884i −0.211294 0.135791i
\(268\) 1.96918 0.578202i 0.120287 0.0353193i
\(269\) −3.59607 + 25.0112i −0.219256 + 1.52496i 0.521538 + 0.853228i \(0.325358\pi\)
−0.740794 + 0.671732i \(0.765551\pi\)
\(270\) −0.654861 + 0.755750i −0.0398536 + 0.0459935i
\(271\) −7.38832 + 4.74818i −0.448808 + 0.288432i −0.745455 0.666556i \(-0.767768\pi\)
0.296647 + 0.954987i \(0.404132\pi\)
\(272\) −1.53793 1.77487i −0.0932507 0.107617i
\(273\) 25.2874 + 7.42505i 1.53046 + 0.449384i
\(274\) 8.44765 18.4978i 0.510341 1.11749i
\(275\) 3.98489 0.240298
\(276\) 1.43531 4.57601i 0.0863953 0.275444i
\(277\) −22.8747 −1.37441 −0.687203 0.726465i \(-0.741162\pi\)
−0.687203 + 0.726465i \(0.741162\pi\)
\(278\) 5.36891 11.7563i 0.322006 0.705094i
\(279\) −7.85431 2.30623i −0.470225 0.138071i
\(280\) 3.42109 + 3.94814i 0.204449 + 0.235947i
\(281\) 14.4470 9.28454i 0.861837 0.553869i −0.0334087 0.999442i \(-0.510636\pi\)
0.895246 + 0.445573i \(0.147000\pi\)
\(282\) −3.22619 + 3.72322i −0.192117 + 0.221715i
\(283\) −0.922750 + 6.41786i −0.0548518 + 0.381502i 0.943842 + 0.330398i \(0.107183\pi\)
−0.998693 + 0.0511040i \(0.983726\pi\)
\(284\) −7.28545 + 2.13920i −0.432312 + 0.126938i
\(285\) −2.53678 1.63029i −0.150266 0.0965702i
\(286\) −2.86097 19.8985i −0.169173 1.17662i
\(287\) −4.18114 9.15543i −0.246805 0.540428i
\(288\) 0.415415 + 0.909632i 0.0244786 + 0.0536006i
\(289\) 1.63443 + 11.3677i 0.0961431 + 0.668690i
\(290\) −5.74182 3.69004i −0.337171 0.216687i
\(291\) −7.50313 + 2.20312i −0.439842 + 0.129149i
\(292\) 2.17099 15.0996i 0.127048 0.883637i
\(293\) −3.01541 + 3.47997i −0.176162 + 0.203302i −0.836963 0.547259i \(-0.815671\pi\)
0.660801 + 0.750561i \(0.270217\pi\)
\(294\) 17.0704 10.9705i 0.995568 0.639813i
\(295\) 1.43022 + 1.65057i 0.0832709 + 0.0960997i
\(296\) 0.355291 + 0.104323i 0.0206509 + 0.00606365i
\(297\) 1.65538 3.62478i 0.0960551 0.210331i
\(298\) 0.821513 0.0475890
\(299\) −13.4514 + 20.1101i −0.777917 + 1.16300i
\(300\) 1.00000 0.0577350
\(301\) −24.1157 + 52.8061i −1.39001 + 3.04369i
\(302\) −11.8487 3.47910i −0.681818 0.200200i
\(303\) −5.10810 5.89506i −0.293453 0.338663i
\(304\) −2.53678 + 1.63029i −0.145495 + 0.0935037i
\(305\) 8.64102 9.97227i 0.494783 0.571011i
\(306\) −0.334224 + 2.32458i −0.0191063 + 0.132887i
\(307\) −6.05704 + 1.77851i −0.345693 + 0.101505i −0.449970 0.893044i \(-0.648565\pi\)
0.104277 + 0.994548i \(0.466747\pi\)
\(308\) −17.5129 11.2549i −0.997891 0.641305i
\(309\) −1.62712 11.3169i −0.0925637 0.643794i
\(310\) 3.40054 + 7.44615i 0.193138 + 0.422913i
\(311\) 4.02332 + 8.80983i 0.228141 + 0.499560i 0.988737 0.149667i \(-0.0478200\pi\)
−0.760595 + 0.649226i \(0.775093\pi\)
\(312\) −0.717955 4.99349i −0.0406462 0.282701i
\(313\) 21.4214 + 13.7667i 1.21081 + 0.778140i 0.980794 0.195047i \(-0.0624859\pi\)
0.230016 + 0.973187i \(0.426122\pi\)
\(314\) −9.55190 + 2.80469i −0.539045 + 0.158278i
\(315\) 0.743473 5.17097i 0.0418900 0.291351i
\(316\) 2.83384 3.27042i 0.159416 0.183976i
\(317\) −18.9242 + 12.1618i −1.06289 + 0.683077i −0.950543 0.310592i \(-0.899473\pi\)
−0.112346 + 0.993669i \(0.535836\pi\)
\(318\) −1.45571 1.67998i −0.0816324 0.0942088i
\(319\) 26.0964 + 7.66259i 1.46112 + 0.429023i
\(320\) 0.415415 0.909632i 0.0232224 0.0508500i
\(321\) −3.44897 −0.192503
\(322\) 6.61650 + 24.1647i 0.368723 + 1.34664i
\(323\) −7.08181 −0.394042
\(324\) 0.415415 0.909632i 0.0230786 0.0505351i
\(325\) −4.84049 1.42130i −0.268502 0.0788393i
\(326\) −3.91287 4.51570i −0.216714 0.250101i
\(327\) −13.7023 + 8.80596i −0.757741 + 0.486971i
\(328\) −1.26167 + 1.45605i −0.0696642 + 0.0803968i
\(329\) 3.66274 25.4749i 0.201933 1.40448i
\(330\) −3.82347 + 1.12267i −0.210475 + 0.0618011i
\(331\) −0.395961 0.254469i −0.0217640 0.0139869i 0.529714 0.848177i \(-0.322299\pi\)
−0.551478 + 0.834190i \(0.685936\pi\)
\(332\) 1.29289 + 8.99228i 0.0709568 + 0.493516i
\(333\) −0.153824 0.336828i −0.00842952 0.0184581i
\(334\) −8.37258 18.3334i −0.458127 1.00316i
\(335\) 0.292074 + 2.03142i 0.0159577 + 0.110988i
\(336\) −4.39483 2.82439i −0.239758 0.154083i
\(337\) 12.2209 3.58838i 0.665714 0.195471i 0.0686204 0.997643i \(-0.478140\pi\)
0.597094 + 0.802172i \(0.296322\pi\)
\(338\) −1.77188 + 12.3237i −0.0963773 + 0.670319i
\(339\) 9.65355 11.1408i 0.524309 0.605084i
\(340\) 1.97567 1.26969i 0.107146 0.0688584i
\(341\) −21.3615 24.6525i −1.15679 1.33501i
\(342\) 2.89333 + 0.849559i 0.156454 + 0.0459389i
\(343\) −28.8454 + 63.1627i −1.55751 + 3.41046i
\(344\) 11.1123 0.599134
\(345\) 4.32517 + 2.07193i 0.232859 + 0.111549i
\(346\) 18.0595 0.970886
\(347\) −6.83353 + 14.9633i −0.366843 + 0.803274i 0.632739 + 0.774365i \(0.281931\pi\)
−0.999582 + 0.0289091i \(0.990797\pi\)
\(348\) 6.54884 + 1.92291i 0.351055 + 0.103079i
\(349\) −19.5775 22.5936i −1.04796 1.20941i −0.977290 0.211907i \(-0.932033\pi\)
−0.0706674 0.997500i \(-0.522513\pi\)
\(350\) −4.39483 + 2.82439i −0.234913 + 0.150970i
\(351\) −3.30367 + 3.81263i −0.176337 + 0.203503i
\(352\) −0.567109 + 3.94433i −0.0302270 + 0.210233i
\(353\) −1.77382 + 0.520840i −0.0944109 + 0.0277215i −0.328597 0.944470i \(-0.606576\pi\)
0.234186 + 0.972192i \(0.424758\pi\)
\(354\) −1.83731 1.18077i −0.0976519 0.0627570i
\(355\) −1.08060 7.51573i −0.0573522 0.398894i
\(356\) −1.70490 3.73321i −0.0903595 0.197860i
\(357\) −5.09665 11.1601i −0.269743 0.590655i
\(358\) −0.169102 1.17613i −0.00893729 0.0621602i
\(359\) 20.8344 + 13.3895i 1.09960 + 0.706669i 0.959003 0.283398i \(-0.0914616\pi\)
0.140597 + 0.990067i \(0.455098\pi\)
\(360\) −0.959493 + 0.281733i −0.0505697 + 0.0148486i
\(361\) 1.40990 9.80604i 0.0742050 0.516107i
\(362\) −7.92692 + 9.14815i −0.416630 + 0.480816i
\(363\) 4.10477 2.63798i 0.215445 0.138458i
\(364\) 17.2588 + 19.9177i 0.904608 + 1.04397i
\(365\) 14.6369 + 4.29779i 0.766132 + 0.224957i
\(366\) −5.48149 + 12.0028i −0.286522 + 0.627395i
\(367\) 2.44948 0.127862 0.0639310 0.997954i \(-0.479636\pi\)
0.0639310 + 0.997954i \(0.479636\pi\)
\(368\) 3.68144 3.07360i 0.191908 0.160223i
\(369\) 1.92663 0.100296
\(370\) −0.153824 + 0.336828i −0.00799695 + 0.0175109i
\(371\) 11.1425 + 3.27174i 0.578492 + 0.169860i
\(372\) −5.36062 6.18649i −0.277935 0.320754i
\(373\) −1.03596 + 0.665770i −0.0536399 + 0.0344722i −0.567186 0.823590i \(-0.691968\pi\)
0.513546 + 0.858062i \(0.328332\pi\)
\(374\) −6.12848 + 7.07264i −0.316896 + 0.365718i
\(375\) −0.142315 + 0.989821i −0.00734911 + 0.0511142i
\(376\) −4.72697 + 1.38796i −0.243775 + 0.0715787i
\(377\) −28.9665 18.6157i −1.49185 0.958755i
\(378\) 0.743473 + 5.17097i 0.0382401 + 0.265966i
\(379\) −8.74017 19.1383i −0.448952 0.983068i −0.989868 0.141991i \(-0.954649\pi\)
0.540916 0.841077i \(-0.318078\pi\)
\(380\) −1.25268 2.74298i −0.0642609 0.140712i
\(381\) 0.372842 + 2.59317i 0.0191013 + 0.132852i
\(382\) 12.3036 + 7.90702i 0.629505 + 0.404559i
\(383\) −18.0419 + 5.29758i −0.921898 + 0.270694i −0.708041 0.706171i \(-0.750421\pi\)
−0.213857 + 0.976865i \(0.568603\pi\)
\(384\) −0.142315 + 0.989821i −0.00726247 + 0.0505116i
\(385\) 13.6327 15.7329i 0.694784 0.801824i
\(386\) 10.3420 6.64638i 0.526392 0.338292i
\(387\) −7.27700 8.39810i −0.369910 0.426899i
\(388\) −7.50313 2.20312i −0.380914 0.111846i
\(389\) 8.13114 17.8047i 0.412265 0.902735i −0.583613 0.812032i \(-0.698361\pi\)
0.995878 0.0907030i \(-0.0289114\pi\)
\(390\) 5.04484 0.255455
\(391\) 11.1758 1.39815i 0.565185 0.0707077i
\(392\) 20.2917 1.02488
\(393\) −1.98809 + 4.35330i −0.100286 + 0.219595i
\(394\) −19.4042 5.69758i −0.977569 0.287040i
\(395\) 2.83384 + 3.27042i 0.142586 + 0.164553i
\(396\) 3.35230 2.15439i 0.168460 0.108262i
\(397\) 4.18618 4.83111i 0.210098 0.242466i −0.640913 0.767613i \(-0.721444\pi\)
0.851012 + 0.525147i \(0.175990\pi\)
\(398\) −3.14909 + 21.9024i −0.157850 + 1.09787i
\(399\) −15.1152 + 4.43822i −0.756706 + 0.222189i
\(400\) 0.841254 + 0.540641i 0.0420627 + 0.0270320i
\(401\) −2.23577 15.5501i −0.111649 0.776537i −0.966316 0.257360i \(-0.917147\pi\)
0.854667 0.519177i \(-0.173762\pi\)
\(402\) −0.852560 1.86685i −0.0425218 0.0931098i
\(403\) 17.1552 + 37.5646i 0.854561 + 1.87123i
\(404\) −1.11010 7.72089i −0.0552294 0.384129i
\(405\) 0.841254 + 0.540641i 0.0418022 + 0.0268647i
\(406\) −34.2121 + 10.0456i −1.69792 + 0.498553i
\(407\) 0.209995 1.46055i 0.0104091 0.0723967i
\(408\) −1.53793 + 1.77487i −0.0761389 + 0.0878689i
\(409\) −17.0729 + 10.9721i −0.844201 + 0.542535i −0.889761 0.456426i \(-0.849129\pi\)
0.0455598 + 0.998962i \(0.485493\pi\)
\(410\) −1.26167 1.45605i −0.0623096 0.0719091i
\(411\) −19.5117 5.72916i −0.962442 0.282599i
\(412\) 4.74954 10.4000i 0.233993 0.512374i
\(413\) 11.4096 0.561430
\(414\) −4.73370 0.769463i −0.232649 0.0378170i
\(415\) −9.08475 −0.445953
\(416\) 2.09570 4.58895i 0.102750 0.224992i
\(417\) −12.4007 3.64117i −0.607264 0.178309i
\(418\) 7.86904 + 9.08136i 0.384887 + 0.444184i
\(419\) −19.6823 + 12.6491i −0.961544 + 0.617947i −0.924425 0.381364i \(-0.875454\pi\)
−0.0371188 + 0.999311i \(0.511818\pi\)
\(420\) 3.42109 3.94814i 0.166932 0.192650i
\(421\) 3.84670 26.7544i 0.187477 1.30393i −0.651037 0.759046i \(-0.725666\pi\)
0.838513 0.544881i \(-0.183425\pi\)
\(422\) −5.69031 + 1.67083i −0.277000 + 0.0813346i
\(423\) 4.14446 + 2.66348i 0.201510 + 0.129503i
\(424\) −0.316357 2.20031i −0.0153636 0.106857i
\(425\) 0.975595 + 2.13626i 0.0473233 + 0.103624i
\(426\) 3.15425 + 6.90685i 0.152824 + 0.334638i
\(427\) −9.81028 68.2320i −0.474753 3.30198i
\(428\) −2.90146 1.86465i −0.140247 0.0901314i
\(429\) −19.2888 + 5.66371i −0.931272 + 0.273446i
\(430\) −1.58144 + 10.9992i −0.0762639 + 0.530427i
\(431\) 1.44038 1.66229i 0.0693807 0.0800696i −0.719998 0.693976i \(-0.755857\pi\)
0.789379 + 0.613906i \(0.210403\pi\)
\(432\) 0.841254 0.540641i 0.0404748 0.0260116i
\(433\) 0.390582 + 0.450756i 0.0187702 + 0.0216620i 0.765057 0.643963i \(-0.222711\pi\)
−0.746287 + 0.665624i \(0.768165\pi\)
\(434\) 41.0320 + 12.0481i 1.96960 + 0.578327i
\(435\) −2.83534 + 6.20852i −0.135944 + 0.297676i
\(436\) −16.2880 −0.780054
\(437\) 0.265226 14.4593i 0.0126875 0.691682i
\(438\) −15.2549 −0.728906
\(439\) −4.68102 + 10.2500i −0.223413 + 0.489206i −0.987834 0.155511i \(-0.950298\pi\)
0.764421 + 0.644717i \(0.223025\pi\)
\(440\) −3.82347 1.12267i −0.182277 0.0535214i
\(441\) −13.2882 15.3354i −0.632772 0.730258i
\(442\) 9.96693 6.40536i 0.474079 0.304672i
\(443\) −23.0562 + 26.6082i −1.09543 + 1.26420i −0.133458 + 0.991054i \(0.542608\pi\)
−0.961974 + 0.273141i \(0.911937\pi\)
\(444\) 0.0526979 0.366522i 0.00250093 0.0173944i
\(445\) 3.93784 1.15625i 0.186672 0.0548117i
\(446\) −2.70061 1.73558i −0.127878 0.0821820i
\(447\) −0.116914 0.813151i −0.00552982 0.0384607i
\(448\) −2.17019 4.75205i −0.102532 0.224513i
\(449\) −2.25009 4.92700i −0.106188 0.232520i 0.849078 0.528268i \(-0.177158\pi\)
−0.955266 + 0.295748i \(0.904431\pi\)
\(450\) −0.142315 0.989821i −0.00670879 0.0466606i
\(451\) 6.45864 + 4.15072i 0.304125 + 0.195450i
\(452\) 14.1442 4.15312i 0.665289 0.195347i
\(453\) −1.75744 + 12.2233i −0.0825717 + 0.574299i
\(454\) 12.2973 14.1918i 0.577140 0.666056i
\(455\) −22.1712 + 14.2486i −1.03940 + 0.667983i
\(456\) 1.97472 + 2.27895i 0.0924747 + 0.106722i
\(457\) 23.5774 + 6.92294i 1.10290 + 0.323842i 0.782005 0.623272i \(-0.214197\pi\)
0.320898 + 0.947114i \(0.396015\pi\)
\(458\) 8.21507 17.9885i 0.383865 0.840547i
\(459\) 2.34848 0.109618
\(460\) 2.51839 + 4.08138i 0.117421 + 0.190295i
\(461\) 21.0443 0.980130 0.490065 0.871686i \(-0.336973\pi\)
0.490065 + 0.871686i \(0.336973\pi\)
\(462\) −8.64796 + 18.9364i −0.402339 + 0.881001i
\(463\) −16.5129 4.84862i −0.767418 0.225334i −0.125486 0.992095i \(-0.540049\pi\)
−0.641933 + 0.766761i \(0.721867\pi\)
\(464\) 4.46963 + 5.15823i 0.207497 + 0.239465i
\(465\) 6.88641 4.42563i 0.319350 0.205234i
\(466\) −12.2014 + 14.0811i −0.565217 + 0.652295i
\(467\) −0.469603 + 3.26616i −0.0217306 + 0.151140i −0.997798 0.0663296i \(-0.978871\pi\)
0.976067 + 0.217469i \(0.0697802\pi\)
\(468\) −4.84049 + 1.42130i −0.223752 + 0.0656994i
\(469\) 9.01955 + 5.79651i 0.416484 + 0.267658i
\(470\) −0.701118 4.87638i −0.0323402 0.224931i
\(471\) 4.13552 + 9.05552i 0.190555 + 0.417256i
\(472\) −0.907272 1.98665i −0.0417606 0.0914429i
\(473\) −6.30187 43.8305i −0.289760 2.01533i
\(474\) −3.64043 2.33956i −0.167210 0.107460i
\(475\) 2.89333 0.849559i 0.132755 0.0389804i
\(476\) 1.74603 12.1439i 0.0800293 0.556616i
\(477\) −1.45571 + 1.67998i −0.0666526 + 0.0769212i
\(478\) 14.0980 9.06023i 0.644827 0.414405i
\(479\) 9.97618 + 11.5131i 0.455823 + 0.526048i 0.936414 0.350897i \(-0.114123\pi\)
−0.480591 + 0.876945i \(0.659578\pi\)
\(480\) −0.959493 0.281733i −0.0437947 0.0128593i
\(481\) −0.776019 + 1.69924i −0.0353834 + 0.0774789i
\(482\) −15.7631 −0.717989
\(483\) 22.9771 9.98814i 1.04549 0.454476i
\(484\) 4.87935 0.221789
\(485\) 3.24850 7.11323i 0.147507 0.322995i
\(486\) −0.959493 0.281733i −0.0435235 0.0127796i
\(487\) −7.78812 8.98797i −0.352914 0.407284i 0.551339 0.834281i \(-0.314117\pi\)
−0.904253 + 0.426997i \(0.859571\pi\)
\(488\) −11.1005 + 7.13387i −0.502497 + 0.322935i
\(489\) −3.91287 + 4.51570i −0.176946 + 0.204207i
\(490\) −2.88781 + 20.0851i −0.130458 + 0.907354i
\(491\) −8.67987 + 2.54864i −0.391717 + 0.115018i −0.471659 0.881781i \(-0.656345\pi\)
0.0799421 + 0.996800i \(0.474526\pi\)
\(492\) 1.62078 + 1.04161i 0.0730705 + 0.0469596i
\(493\) 2.28118 + 15.8660i 0.102739 + 0.714568i
\(494\) −6.31955 13.8379i −0.284330 0.622596i
\(495\) 1.65538 + 3.62478i 0.0744039 + 0.162922i
\(496\) −1.16497 8.10258i −0.0523089 0.363816i
\(497\) −33.3700 21.4456i −1.49685 0.961967i
\(498\) 8.71675 2.55947i 0.390607 0.114693i
\(499\) 4.57659 31.8309i 0.204876 1.42495i −0.584678 0.811265i \(-0.698779\pi\)
0.789555 0.613680i \(-0.210312\pi\)
\(500\) −0.654861 + 0.755750i −0.0292863 + 0.0337981i
\(501\) −16.9552 + 10.8965i −0.757504 + 0.486818i
\(502\) −2.48659 2.86968i −0.110982 0.128080i
\(503\) 14.1439 + 4.15304i 0.630647 + 0.185175i 0.581408 0.813612i \(-0.302502\pi\)
0.0492393 + 0.998787i \(0.484320\pi\)
\(504\) −2.17019 + 4.75205i −0.0966678 + 0.211673i
\(505\) 7.80029 0.347108
\(506\) −14.2111 12.7777i −0.631759 0.568039i
\(507\) 12.4504 0.552941
\(508\) −1.08832 + 2.38309i −0.0482864 + 0.105732i
\(509\) −8.28733 2.43338i −0.367330 0.107858i 0.0928581 0.995679i \(-0.470400\pi\)
−0.460188 + 0.887822i \(0.652218\pi\)
\(510\) −1.53793 1.77487i −0.0681007 0.0785924i
\(511\) 67.0425 43.0856i 2.96579 1.90600i
\(512\) −0.654861 + 0.755750i −0.0289410 + 0.0333997i
\(513\) 0.429148 2.98479i 0.0189473 0.131782i
\(514\) 10.6665 3.13198i 0.470481 0.138146i
\(515\) 9.61826 + 6.18128i 0.423831 + 0.272380i
\(516\) −1.58144 10.9992i −0.0696191 0.484212i
\(517\) 8.15529 + 17.8576i 0.358669 + 0.785376i
\(518\) 0.803601 + 1.75964i 0.0353082 + 0.0773141i
\(519\) −2.57014 17.8757i −0.112817 0.784656i
\(520\) 4.24399 + 2.72745i 0.186111 + 0.119606i
\(521\) 40.0350 11.7553i 1.75396 0.515011i 0.762683 0.646772i \(-0.223882\pi\)
0.991281 + 0.131762i \(0.0420633\pi\)
\(522\) 0.971343 6.75584i 0.0425145 0.295695i
\(523\) −1.58198 + 1.82571i −0.0691754 + 0.0798326i −0.789282 0.614030i \(-0.789547\pi\)
0.720107 + 0.693863i \(0.244093\pi\)
\(524\) −4.02606 + 2.58739i −0.175879 + 0.113031i
\(525\) 3.42109 + 3.94814i 0.149308 + 0.172311i
\(526\) −10.2050 2.99647i −0.444960 0.130652i
\(527\) 7.98612 17.4872i 0.347881 0.761753i
\(528\) 3.98489 0.173420
\(529\) 2.43613 + 22.8706i 0.105919 + 0.994375i
\(530\) 2.22294 0.0965582
\(531\) −0.907272 + 1.98665i −0.0393722 + 0.0862132i
\(532\) −15.1152 4.43822i −0.655326 0.192421i
\(533\) −6.36494 7.34553i −0.275696 0.318170i
\(534\) −3.45258 + 2.21884i −0.149408 + 0.0960185i
\(535\) 2.25859 2.60656i 0.0976476 0.112691i
\(536\) 0.292074 2.03142i 0.0126157 0.0877439i
\(537\) −1.14009 + 0.334761i −0.0491985 + 0.0144460i
\(538\) 21.2571 + 13.6611i 0.916460 + 0.588973i
\(539\) −11.5076 80.0371i −0.495667 3.44744i
\(540\) 0.415415 + 0.909632i 0.0178766 + 0.0391443i
\(541\) 2.66013 + 5.82487i 0.114368 + 0.250431i 0.958156 0.286245i \(-0.0924071\pi\)
−0.843789 + 0.536676i \(0.819680\pi\)
\(542\) 1.24988 + 8.69312i 0.0536870 + 0.373401i
\(543\) 10.1832 + 6.54432i 0.437001 + 0.280844i
\(544\) −2.25335 + 0.661644i −0.0966117 + 0.0283678i
\(545\) 2.31802 16.1222i 0.0992933 0.690600i
\(546\) 17.2588 19.9177i 0.738610 0.852401i
\(547\) −9.03781 + 5.80825i −0.386429 + 0.248343i −0.719402 0.694593i \(-0.755584\pi\)
0.332974 + 0.942936i \(0.391948\pi\)
\(548\) −13.3169 15.3685i −0.568869 0.656510i
\(549\) 12.6607 + 3.71752i 0.540346 + 0.158660i
\(550\) 1.65538 3.62478i 0.0705858 0.154561i
\(551\) 20.5816 0.876805
\(552\) −3.56624 3.20655i −0.151789 0.136480i
\(553\) 22.6069 0.961343
\(554\) −9.50249 + 20.8076i −0.403722 + 0.884028i
\(555\) 0.355291 + 0.104323i 0.0150813 + 0.00442826i
\(556\) −8.46355 9.76746i −0.358935 0.414233i
\(557\) 20.0948 12.9142i 0.851445 0.547190i −0.0405803 0.999176i \(-0.512921\pi\)
0.892025 + 0.451986i \(0.149284\pi\)
\(558\) −5.36062 + 6.18649i −0.226933 + 0.261895i
\(559\) −7.97812 + 55.4890i −0.337439 + 2.34694i
\(560\) 5.01253 1.47181i 0.211818 0.0621954i
\(561\) 7.87283 + 5.05956i 0.332391 + 0.213615i
\(562\) −2.44400 16.9984i −0.103094 0.717035i
\(563\) 10.2196 + 22.3778i 0.430705 + 0.943112i 0.993212 + 0.116320i \(0.0371097\pi\)
−0.562507 + 0.826793i \(0.690163\pi\)
\(564\) 2.04655 + 4.48133i 0.0861755 + 0.188698i
\(565\) 2.09792 + 14.5913i 0.0882600 + 0.613862i
\(566\) 5.45457 + 3.50544i 0.229273 + 0.147345i
\(567\) 5.01253 1.47181i 0.210506 0.0618103i
\(568\) −1.08060 + 7.51573i −0.0453409 + 0.315353i
\(569\) −4.94779 + 5.71006i −0.207422 + 0.239378i −0.849923 0.526907i \(-0.823352\pi\)
0.642501 + 0.766285i \(0.277897\pi\)
\(570\) −2.53678 + 1.63029i −0.106254 + 0.0682854i
\(571\) 20.1451 + 23.2487i 0.843048 + 0.972929i 0.999892 0.0146940i \(-0.00467742\pi\)
−0.156844 + 0.987623i \(0.550132\pi\)
\(572\) −19.2888 5.66371i −0.806506 0.236811i
\(573\) 6.07556 13.3036i 0.253810 0.555767i
\(574\) −10.0650 −0.420104
\(575\) −4.39825 + 1.91192i −0.183420 + 0.0797325i
\(576\) 1.00000 0.0416667
\(577\) −10.8543 + 23.7675i −0.451869 + 0.989454i 0.537397 + 0.843329i \(0.319408\pi\)
−0.989266 + 0.146125i \(0.953320\pi\)
\(578\) 11.0194 + 3.23559i 0.458347 + 0.134583i
\(579\) −8.05054 9.29082i −0.334569 0.386113i
\(580\) −5.74182 + 3.69004i −0.238416 + 0.153221i
\(581\) −31.0797 + 35.8679i −1.28940 + 1.48805i
\(582\) −1.11289 + 7.74030i −0.0461307 + 0.320846i
\(583\) −8.49934 + 2.49563i −0.352007 + 0.103359i
\(584\) −12.8332 8.24740i −0.531042 0.341280i
\(585\) −0.717955 4.99349i −0.0296838 0.206455i
\(586\) 1.91285 + 4.18855i 0.0790190 + 0.173027i
\(587\) 14.2151 + 31.1267i 0.586719 + 1.28474i 0.937405 + 0.348242i \(0.113221\pi\)
−0.350686 + 0.936493i \(0.614051\pi\)
\(588\) −2.88781 20.0851i −0.119091 0.828297i
\(589\) −20.7659 13.3454i −0.855642 0.549888i
\(590\) 2.09555 0.615308i 0.0862722 0.0253318i
\(591\) −2.87809 + 20.0175i −0.118389 + 0.823411i
\(592\) 0.242489 0.279847i 0.00996623 0.0115016i
\(593\) −23.2015 + 14.9107i −0.952770 + 0.612308i −0.921988 0.387218i \(-0.873436\pi\)
−0.0307820 + 0.999526i \(0.509800\pi\)
\(594\) −2.60955 3.01158i −0.107071 0.123567i
\(595\) 11.7718 + 3.45652i 0.482598 + 0.141704i
\(596\) 0.341269 0.747275i 0.0139789 0.0306096i
\(597\) 22.1277 0.905625
\(598\) 12.7049 + 20.5899i 0.519542 + 0.841984i
\(599\) −45.5746 −1.86213 −0.931063 0.364857i \(-0.881118\pi\)
−0.931063 + 0.364857i \(0.881118\pi\)
\(600\) 0.415415 0.909632i 0.0169592 0.0371356i
\(601\) 26.1618 + 7.68180i 1.06716 + 0.313347i 0.767732 0.640771i \(-0.221385\pi\)
0.299431 + 0.954118i \(0.403203\pi\)
\(602\) 38.0161 + 43.8729i 1.54942 + 1.78813i
\(603\) −1.72651 + 1.10956i −0.0703090 + 0.0451848i
\(604\) −8.08684 + 9.33271i −0.329049 + 0.379743i
\(605\) −0.694404 + 4.82969i −0.0282315 + 0.196355i
\(606\) −7.48432 + 2.19759i −0.304030 + 0.0892712i
\(607\) −6.91038 4.44103i −0.280484 0.180256i 0.392834 0.919610i \(-0.371495\pi\)
−0.673317 + 0.739354i \(0.735131\pi\)
\(608\) 0.429148 + 2.98479i 0.0174042 + 0.121049i
\(609\) 14.8122 + 32.4342i 0.600221 + 1.31430i
\(610\) −5.48149 12.0028i −0.221939 0.485978i
\(611\) −3.53703 24.6006i −0.143093 0.995232i
\(612\) 1.97567 + 1.26969i 0.0798617 + 0.0513240i
\(613\) 19.4964 5.72465i 0.787451 0.231217i 0.136806 0.990598i \(-0.456316\pi\)
0.650646 + 0.759381i \(0.274498\pi\)
\(614\) −0.898398 + 6.24849i −0.0362564 + 0.252169i
\(615\) −1.26167 + 1.45605i −0.0508756 + 0.0587135i
\(616\) −17.5129 + 11.2549i −0.705615 + 0.453471i
\(617\) 13.9754 + 16.1285i 0.562628 + 0.649308i 0.963778 0.266705i \(-0.0859348\pi\)
−0.401150 + 0.916012i \(0.631389\pi\)
\(618\) −10.9701 3.22112i −0.441283 0.129572i
\(619\) −1.13132 + 2.47725i −0.0454718 + 0.0995693i −0.931004 0.365008i \(-0.881066\pi\)
0.885533 + 0.464577i \(0.153794\pi\)
\(620\) 8.18590 0.328754
\(621\) −0.0879548 + 4.79502i −0.00352950 + 0.192418i
\(622\) 9.68505 0.388335
\(623\) 8.90664 19.5028i 0.356837 0.781364i
\(624\) −4.84049 1.42130i −0.193775 0.0568973i
\(625\) −0.654861 0.755750i −0.0261944 0.0302300i
\(626\) 21.4214 13.7667i 0.856172 0.550228i
\(627\) 7.86904 9.08136i 0.314259 0.362675i
\(628\) −1.41677 + 9.85382i −0.0565351 + 0.393210i
\(629\) 0.834396 0.245001i 0.0332695 0.00976882i
\(630\) −4.39483 2.82439i −0.175094 0.112526i
\(631\) −1.52965 10.6390i −0.0608945 0.423531i −0.997351 0.0727456i \(-0.976824\pi\)
0.936456 0.350785i \(-0.114085\pi\)
\(632\) −1.79766 3.93633i −0.0715071 0.156579i
\(633\) 2.46364 + 5.39461i 0.0979208 + 0.214417i
\(634\) 3.20141 + 22.2663i 0.127144 + 0.884307i
\(635\) −2.20395 1.41639i −0.0874609 0.0562077i
\(636\) −2.13289 + 0.626274i −0.0845747 + 0.0248334i
\(637\) −14.5685 + 101.326i −0.577226 + 4.01469i
\(638\) 17.8110 20.5550i 0.705143 0.813779i
\(639\) 6.38765 4.10509i 0.252692 0.162395i
\(640\) −0.654861 0.755750i −0.0258856 0.0298736i
\(641\) 8.35087 + 2.45204i 0.329839 + 0.0968496i 0.442459 0.896789i \(-0.354106\pi\)
−0.112620 + 0.993638i \(0.535924\pi\)
\(642\) −1.43275 + 3.13729i −0.0565463 + 0.123819i
\(643\) 15.1774 0.598538 0.299269 0.954169i \(-0.403257\pi\)
0.299269 + 0.954169i \(0.403257\pi\)
\(644\) 24.7295 + 4.01978i 0.974480 + 0.158402i
\(645\) 11.1123 0.437546
\(646\) −2.94189 + 6.44184i −0.115747 + 0.253451i
\(647\) 8.46551 + 2.48570i 0.332813 + 0.0977228i 0.443870 0.896091i \(-0.353605\pi\)
−0.111056 + 0.993814i \(0.535423\pi\)
\(648\) −0.654861 0.755750i −0.0257254 0.0296886i
\(649\) −7.32147 + 4.70523i −0.287393 + 0.184696i
\(650\) −3.30367 + 3.81263i −0.129580 + 0.149544i
\(651\) 6.08599 42.3290i 0.238529 1.65901i
\(652\) −5.73309 + 1.68339i −0.224525 + 0.0659265i
\(653\) −39.0772 25.1134i −1.52921 0.982762i −0.990075 0.140542i \(-0.955115\pi\)
−0.539133 0.842220i \(-0.681248\pi\)
\(654\) 2.31802 + 16.1222i 0.0906419 + 0.630429i
\(655\) −1.98809 4.35330i −0.0776809 0.170098i
\(656\) 0.800350 + 1.75252i 0.0312484 + 0.0684245i
\(657\) 2.17099 + 15.0996i 0.0846985 + 0.589091i
\(658\) −21.6512 13.9144i −0.844054 0.542440i
\(659\) −3.69138 + 1.08389i −0.143796 + 0.0422222i −0.352838 0.935684i \(-0.614783\pi\)
0.209043 + 0.977907i \(0.432965\pi\)
\(660\) −0.567109 + 3.94433i −0.0220747 + 0.153533i
\(661\) 4.92887 5.68822i 0.191711 0.221246i −0.651754 0.758430i \(-0.725967\pi\)
0.843465 + 0.537184i \(0.180512\pi\)
\(662\) −0.395961 + 0.254469i −0.0153895 + 0.00989020i
\(663\) −7.75861 8.95391i −0.301319 0.347741i
\(664\) 8.71675 + 2.55947i 0.338276 + 0.0993267i
\(665\) 6.54416 14.3297i 0.253772 0.555682i
\(666\) −0.370291 −0.0143485
\(667\) −32.4799 + 4.06341i −1.25762 + 0.157336i
\(668\) −20.1547 −0.779810
\(669\) −1.33358 + 2.92012i −0.0515590 + 0.112898i
\(670\) 1.96918 + 0.578202i 0.0760759 + 0.0223379i
\(671\) 34.4335 + 39.7384i 1.32929 + 1.53408i
\(672\) −4.39483 + 2.82439i −0.169534 + 0.108953i
\(673\) 15.2978 17.6546i 0.589687 0.680535i −0.379972 0.924998i \(-0.624066\pi\)
0.969659 + 0.244463i \(0.0786118\pi\)
\(674\) 1.81264 12.6072i 0.0698202 0.485610i
\(675\) −0.959493 + 0.281733i −0.0369309 + 0.0108439i
\(676\) 10.4739 + 6.73119i 0.402844 + 0.258892i
\(677\) −1.39345 9.69163i −0.0535545 0.372480i −0.998920 0.0464668i \(-0.985204\pi\)
0.945365 0.326013i \(-0.105705\pi\)
\(678\) −6.12379 13.4092i −0.235183 0.514978i
\(679\) −16.9706 37.1605i −0.651273 1.42609i
\(680\) −0.334224 2.32458i −0.0128169 0.0891435i
\(681\) −15.7975 10.1524i −0.605360 0.389041i
\(682\) −31.2986 + 9.19009i −1.19848 + 0.351907i
\(683\) −0.981028 + 6.82320i −0.0375380 + 0.261082i −0.999945 0.0105305i \(-0.996648\pi\)
0.962407 + 0.271613i \(0.0875571\pi\)
\(684\) 1.97472 2.27895i 0.0755053 0.0871378i
\(685\) 17.1073 10.9942i 0.653635 0.420066i
\(686\) 45.4720 + 52.4774i 1.73613 + 2.00360i
\(687\) −18.9745 5.57142i −0.723923 0.212563i
\(688\) 4.61621 10.1081i 0.175991 0.385367i
\(689\) 11.2144 0.427233
\(690\) 3.68144 3.07360i 0.140150 0.117010i
\(691\) −6.18352 −0.235232 −0.117616 0.993059i \(-0.537525\pi\)
−0.117616 + 0.993059i \(0.537525\pi\)
\(692\) 7.50220 16.4275i 0.285191 0.624481i
\(693\) 19.9744 + 5.86501i 0.758764 + 0.222793i
\(694\) 10.7724 + 12.4320i 0.408914 + 0.471912i
\(695\) 10.8725 6.98735i 0.412419 0.265045i
\(696\) 4.46963 5.15823i 0.169421 0.195522i
\(697\) −0.643925 + 4.47860i −0.0243904 + 0.169639i
\(698\) −28.6846 + 8.42256i −1.08573 + 0.318799i
\(699\) 15.6742 + 10.0732i 0.592854 + 0.381004i
\(700\) 0.743473 + 5.17097i 0.0281006 + 0.195444i
\(701\) −6.85596 15.0125i −0.258946 0.567013i 0.734850 0.678230i \(-0.237252\pi\)
−0.993796 + 0.111217i \(0.964525\pi\)
\(702\) 2.09570 + 4.58895i 0.0790972 + 0.173199i
\(703\) −0.158909 1.10524i −0.00599338 0.0416849i
\(704\) 3.35230 + 2.15439i 0.126345 + 0.0811968i
\(705\) −4.72697 + 1.38796i −0.178028 + 0.0522737i
\(706\) −0.263098 + 1.82989i −0.00990183 + 0.0688687i
\(707\) 26.6855 30.7967i 1.00361 1.15823i
\(708\) −1.83731 + 1.18077i −0.0690503 + 0.0443759i
\(709\) 22.7788 + 26.2881i 0.855476 + 0.987272i 0.999998 0.00222979i \(-0.000709766\pi\)
−0.144522 + 0.989502i \(0.546164\pi\)
\(710\) −7.28545 2.13920i −0.273418 0.0802827i
\(711\) −1.79766 + 3.93633i −0.0674176 + 0.147624i
\(712\) −4.10409 −0.153807
\(713\) 35.4054 + 16.9606i 1.32594 + 0.635180i
\(714\) −12.2688 −0.459149
\(715\) 8.35114 18.2864i 0.312315 0.683874i
\(716\) −1.14009 0.334761i −0.0426072 0.0125106i
\(717\) −10.9744 12.6651i −0.409845 0.472986i
\(718\) 20.8344 13.3895i 0.777534 0.499691i
\(719\) 28.7271 33.1528i 1.07134 1.23639i 0.100938 0.994893i \(-0.467816\pi\)
0.970401 0.241498i \(-0.0776389\pi\)
\(720\) −0.142315 + 0.989821i −0.00530376 + 0.0368885i
\(721\) 57.3095 16.8276i 2.13432 0.626692i
\(722\) −8.33419 5.35606i −0.310167 0.199332i
\(723\) 2.24332 + 15.6027i 0.0834301 + 0.580269i
\(724\) 5.02849 + 11.0109i 0.186882 + 0.409215i
\(725\) −2.83534 6.20852i −0.105302 0.230579i
\(726\) −0.694404 4.82969i −0.0257718 0.179246i
\(727\) 23.6408 + 15.1930i 0.876788 + 0.563478i 0.899822 0.436257i \(-0.143696\pi\)
−0.0230339 + 0.999735i \(0.507333\pi\)
\(728\) 25.2874 7.42505i 0.937213 0.275191i
\(729\) −0.142315 + 0.989821i −0.00527092 + 0.0366601i
\(730\) 9.98981 11.5289i 0.369740 0.426702i
\(731\) 21.9542 14.1091i 0.812005 0.521844i
\(732\) 8.64102 + 9.97227i 0.319381 + 0.368586i
\(733\) −33.4194 9.81281i −1.23437 0.362444i −0.401474 0.915870i \(-0.631502\pi\)
−0.832898 + 0.553426i \(0.813320\pi\)
\(734\) 1.01755 2.22813i 0.0375585 0.0822417i
\(735\) 20.2917 0.748470
\(736\) −1.26652 4.62557i −0.0466846 0.170501i
\(737\) −8.17822 −0.301249
\(738\) 0.800350 1.75252i 0.0294613 0.0645112i
\(739\) 34.3640 + 10.0902i 1.26410 + 0.371174i 0.844020 0.536312i \(-0.180183\pi\)
0.420082 + 0.907486i \(0.362001\pi\)
\(740\) 0.242489 + 0.279847i 0.00891407 + 0.0102874i
\(741\) −12.7977 + 8.22456i −0.470134 + 0.302137i
\(742\) 7.60486 8.77647i 0.279183 0.322195i
\(743\) −2.78611 + 19.3778i −0.102213 + 0.710904i 0.872690 + 0.488274i \(0.162373\pi\)
−0.974903 + 0.222630i \(0.928536\pi\)
\(744\) −7.85431 + 2.30623i −0.287953 + 0.0845506i
\(745\) 0.691101 + 0.444144i 0.0253200 + 0.0162722i
\(746\) 0.175253 + 1.21891i 0.00641647 + 0.0446275i
\(747\) −3.77394 8.26378i −0.138081 0.302356i
\(748\) 3.88764 + 8.51274i 0.142146 + 0.311257i
\(749\) −2.56422 17.8345i −0.0936944 0.651659i
\(750\) 0.841254 + 0.540641i 0.0307182 + 0.0197414i
\(751\) −15.3200 + 4.49836i −0.559035 + 0.164147i −0.549030 0.835802i \(-0.685003\pi\)
−0.0100047 + 0.999950i \(0.503185\pi\)
\(752\) −0.701118 + 4.87638i −0.0255671 + 0.177823i
\(753\) −2.48659 + 2.86968i −0.0906164 + 0.104577i
\(754\) −28.9665 + 18.6157i −1.05490 + 0.677943i
\(755\) −8.08684 9.33271i −0.294310 0.339652i
\(756\) 5.01253 + 1.47181i 0.182304 + 0.0535293i
\(757\) 7.42875 16.2667i 0.270003 0.591223i −0.725257 0.688478i \(-0.758279\pi\)
0.995259 + 0.0972552i \(0.0310063\pi\)
\(758\) −21.0396 −0.764193
\(759\) −10.6252 + 15.8849i −0.385671 + 0.576585i
\(760\) −3.01548 −0.109383
\(761\) −18.7709 + 41.1026i −0.680446 + 1.48997i 0.181723 + 0.983350i \(0.441832\pi\)
−0.862170 + 0.506620i \(0.830895\pi\)
\(762\) 2.51371 + 0.738093i 0.0910623 + 0.0267383i
\(763\) −55.7227 64.3074i −2.01730 2.32808i
\(764\) 12.3036 7.90702i 0.445128 0.286066i
\(765\) −1.53793 + 1.77487i −0.0556040 + 0.0641704i
\(766\) −2.67603 + 18.6122i −0.0966888 + 0.672486i
\(767\) 10.5717 3.10413i 0.381721 0.112084i
\(768\) 0.841254 + 0.540641i 0.0303561 + 0.0195087i
\(769\) 5.71042 + 39.7169i 0.205923 + 1.43223i 0.786283 + 0.617867i \(0.212003\pi\)
−0.580360 + 0.814360i \(0.697088\pi\)
\(770\) −8.64796 18.9364i −0.311651 0.682420i
\(771\) −4.61811 10.1122i −0.166317 0.364184i
\(772\) −1.74955 12.1684i −0.0629677 0.437950i
\(773\) −38.3117 24.6215i −1.37798 0.885572i −0.378775 0.925489i \(-0.623654\pi\)