Properties

Label 930.2.o.e.491.14
Level $930$
Weight $2$
Character 930.491
Analytic conductor $7.426$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(20\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 491.14
Character \(\chi\) \(=\) 930.491
Dual form 930.2.o.e.161.4

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000i q^{2} +(-0.474351 + 1.66583i) q^{3} -1.00000 q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.66583 - 0.474351i) q^{6} +(1.75266 - 3.03570i) q^{7} -1.00000i q^{8} +(-2.54998 - 1.58038i) q^{9} +O(q^{10})\) \(q+1.00000i q^{2} +(-0.474351 + 1.66583i) q^{3} -1.00000 q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.66583 - 0.474351i) q^{6} +(1.75266 - 3.03570i) q^{7} -1.00000i q^{8} +(-2.54998 - 1.58038i) q^{9} +(0.500000 + 0.866025i) q^{10} +(0.508798 + 0.881264i) q^{11} +(0.474351 - 1.66583i) q^{12} +(-0.482279 + 0.278444i) q^{13} +(3.03570 + 1.75266i) q^{14} +(0.422115 + 1.67983i) q^{15} +1.00000 q^{16} +(0.748115 - 1.29577i) q^{17} +(1.58038 - 2.54998i) q^{18} +(2.58309 - 4.47405i) q^{19} +(-0.866025 + 0.500000i) q^{20} +(4.22558 + 4.35962i) q^{21} +(-0.881264 + 0.508798i) q^{22} +3.21814 q^{23} +(1.66583 + 0.474351i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-0.278444 - 0.482279i) q^{26} +(3.84223 - 3.49818i) q^{27} +(-1.75266 + 3.03570i) q^{28} +2.64442 q^{29} +(-1.67983 + 0.422115i) q^{30} +(5.39138 + 1.39033i) q^{31} +1.00000i q^{32} +(-1.70939 + 0.429543i) q^{33} +(1.29577 + 0.748115i) q^{34} -3.50532i q^{35} +(2.54998 + 1.58038i) q^{36} +(2.08724 + 1.20507i) q^{37} +(4.47405 + 2.58309i) q^{38} +(-0.235071 - 0.935475i) q^{39} +(-0.500000 - 0.866025i) q^{40} +(7.86397 - 4.54027i) q^{41} +(-4.35962 + 4.22558i) q^{42} +(-5.69715 - 3.28925i) q^{43} +(-0.508798 - 0.881264i) q^{44} +(-2.99854 - 0.0936563i) q^{45} +3.21814i q^{46} +8.95636i q^{47} +(-0.474351 + 1.66583i) q^{48} +(-2.64364 - 4.57892i) q^{49} +(0.866025 + 0.500000i) q^{50} +(1.80367 + 1.86088i) q^{51} +(0.482279 - 0.278444i) q^{52} +(1.80684 + 3.12954i) q^{53} +(3.49818 + 3.84223i) q^{54} +(0.881264 + 0.508798i) q^{55} +(-3.03570 - 1.75266i) q^{56} +(6.22771 + 6.42526i) q^{57} +2.64442i q^{58} +(-8.22333 - 4.74774i) q^{59} +(-0.422115 - 1.67983i) q^{60} -0.662787i q^{61} +(-1.39033 + 5.39138i) q^{62} +(-9.26680 + 4.97111i) q^{63} -1.00000 q^{64} +(-0.278444 + 0.482279i) q^{65} +(-0.429543 - 1.70939i) q^{66} +(0.768714 + 1.33145i) q^{67} +(-0.748115 + 1.29577i) q^{68} +(-1.52653 + 5.36088i) q^{69} +3.50532 q^{70} +(-9.71728 + 5.61027i) q^{71} +(-1.58038 + 2.54998i) q^{72} +(-5.23937 + 3.02495i) q^{73} +(-1.20507 + 2.08724i) q^{74} +(1.20548 + 1.24372i) q^{75} +(-2.58309 + 4.47405i) q^{76} +3.56700 q^{77} +(0.935475 - 0.235071i) q^{78} +(0.184595 + 0.106576i) q^{79} +(0.866025 - 0.500000i) q^{80} +(4.00481 + 8.05987i) q^{81} +(4.54027 + 7.86397i) q^{82} +(1.71612 + 2.97241i) q^{83} +(-4.22558 - 4.35962i) q^{84} -1.49623i q^{85} +(3.28925 - 5.69715i) q^{86} +(-1.25438 + 4.40515i) q^{87} +(0.881264 - 0.508798i) q^{88} -0.779533 q^{89} +(0.0936563 - 2.99854i) q^{90} +1.95207i q^{91} -3.21814 q^{92} +(-4.87346 + 8.32162i) q^{93} -8.95636 q^{94} -5.16618i q^{95} +(-1.66583 - 0.474351i) q^{96} +13.2793 q^{97} +(4.57892 - 2.64364i) q^{98} +(0.0953043 - 3.05130i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + O(q^{10}) \) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + 20q^{10} - 6q^{12} - 12q^{13} + 40q^{16} - 12q^{18} - 12q^{19} + 12q^{21} - 24q^{22} + 20q^{25} + 12q^{28} + 8q^{31} + 52q^{33} + 24q^{34} + 2q^{36} + 60q^{37} - 8q^{39} - 20q^{40} + 12q^{42} + 24q^{43} - 12q^{45} + 6q^{48} - 4q^{49} + 14q^{51} + 12q^{52} + 24q^{55} - 12q^{57} - 40q^{64} + 8q^{66} + 64q^{67} - 26q^{69} - 24q^{70} + 12q^{72} + 6q^{75} + 12q^{76} - 68q^{78} - 48q^{79} + 2q^{81} + 4q^{82} - 12q^{84} + 36q^{87} + 24q^{88} + 2q^{90} - 22q^{93} - 40q^{94} + 8q^{97} - 90q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) −0.474351 + 1.66583i −0.273867 + 0.961768i
\(4\) −1.00000 −0.500000
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −1.66583 0.474351i −0.680072 0.193653i
\(7\) 1.75266 3.03570i 0.662443 1.14739i −0.317528 0.948249i \(-0.602853\pi\)
0.979972 0.199137i \(-0.0638138\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −2.54998 1.58038i −0.849994 0.526793i
\(10\) 0.500000 + 0.866025i 0.158114 + 0.273861i
\(11\) 0.508798 + 0.881264i 0.153408 + 0.265711i 0.932478 0.361226i \(-0.117642\pi\)
−0.779070 + 0.626937i \(0.784308\pi\)
\(12\) 0.474351 1.66583i 0.136933 0.480884i
\(13\) −0.482279 + 0.278444i −0.133760 + 0.0772264i −0.565387 0.824826i \(-0.691273\pi\)
0.431627 + 0.902052i \(0.357940\pi\)
\(14\) 3.03570 + 1.75266i 0.811324 + 0.468418i
\(15\) 0.422115 + 1.67983i 0.108990 + 0.433729i
\(16\) 1.00000 0.250000
\(17\) 0.748115 1.29577i 0.181445 0.314271i −0.760928 0.648836i \(-0.775256\pi\)
0.942373 + 0.334565i \(0.108589\pi\)
\(18\) 1.58038 2.54998i 0.372499 0.601036i
\(19\) 2.58309 4.47405i 0.592602 1.02642i −0.401278 0.915956i \(-0.631434\pi\)
0.993880 0.110461i \(-0.0352326\pi\)
\(20\) −0.866025 + 0.500000i −0.193649 + 0.111803i
\(21\) 4.22558 + 4.35962i 0.922097 + 0.951348i
\(22\) −0.881264 + 0.508798i −0.187886 + 0.108476i
\(23\) 3.21814 0.671029 0.335515 0.942035i \(-0.391090\pi\)
0.335515 + 0.942035i \(0.391090\pi\)
\(24\) 1.66583 + 0.474351i 0.340036 + 0.0968266i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −0.278444 0.482279i −0.0546073 0.0945827i
\(27\) 3.84223 3.49818i 0.739437 0.673226i
\(28\) −1.75266 + 3.03570i −0.331222 + 0.573693i
\(29\) 2.64442 0.491056 0.245528 0.969389i \(-0.421039\pi\)
0.245528 + 0.969389i \(0.421039\pi\)
\(30\) −1.67983 + 0.422115i −0.306693 + 0.0770673i
\(31\) 5.39138 + 1.39033i 0.968320 + 0.249711i
\(32\) 1.00000i 0.176777i
\(33\) −1.70939 + 0.429543i −0.297566 + 0.0747738i
\(34\) 1.29577 + 0.748115i 0.222223 + 0.128301i
\(35\) 3.50532i 0.592507i
\(36\) 2.54998 + 1.58038i 0.424997 + 0.263396i
\(37\) 2.08724 + 1.20507i 0.343140 + 0.198112i 0.661660 0.749804i \(-0.269852\pi\)
−0.318520 + 0.947916i \(0.603186\pi\)
\(38\) 4.47405 + 2.58309i 0.725786 + 0.419033i
\(39\) −0.235071 0.935475i −0.0376414 0.149796i
\(40\) −0.500000 0.866025i −0.0790569 0.136931i
\(41\) 7.86397 4.54027i 1.22815 0.709070i 0.261504 0.965202i \(-0.415781\pi\)
0.966642 + 0.256132i \(0.0824481\pi\)
\(42\) −4.35962 + 4.22558i −0.672704 + 0.652021i
\(43\) −5.69715 3.28925i −0.868807 0.501606i −0.00185547 0.999998i \(-0.500591\pi\)
−0.866952 + 0.498392i \(0.833924\pi\)
\(44\) −0.508798 0.881264i −0.0767042 0.132856i
\(45\) −2.99854 0.0936563i −0.446996 0.0139615i
\(46\) 3.21814i 0.474489i
\(47\) 8.95636i 1.30642i 0.757177 + 0.653210i \(0.226578\pi\)
−0.757177 + 0.653210i \(0.773422\pi\)
\(48\) −0.474351 + 1.66583i −0.0684667 + 0.240442i
\(49\) −2.64364 4.57892i −0.377663 0.654131i
\(50\) 0.866025 + 0.500000i 0.122474 + 0.0707107i
\(51\) 1.80367 + 1.86088i 0.252564 + 0.260576i
\(52\) 0.482279 0.278444i 0.0668800 0.0386132i
\(53\) 1.80684 + 3.12954i 0.248189 + 0.429876i 0.963023 0.269418i \(-0.0868313\pi\)
−0.714834 + 0.699294i \(0.753498\pi\)
\(54\) 3.49818 + 3.84223i 0.476042 + 0.522861i
\(55\) 0.881264 + 0.508798i 0.118830 + 0.0686063i
\(56\) −3.03570 1.75266i −0.405662 0.234209i
\(57\) 6.22771 + 6.42526i 0.824880 + 0.851047i
\(58\) 2.64442i 0.347229i
\(59\) −8.22333 4.74774i −1.07059 0.618103i −0.142245 0.989832i \(-0.545432\pi\)
−0.928342 + 0.371728i \(0.878765\pi\)
\(60\) −0.422115 1.67983i −0.0544948 0.216865i
\(61\) 0.662787i 0.0848612i −0.999099 0.0424306i \(-0.986490\pi\)
0.999099 0.0424306i \(-0.0135101\pi\)
\(62\) −1.39033 + 5.39138i −0.176572 + 0.684706i
\(63\) −9.26680 + 4.97111i −1.16751 + 0.626301i
\(64\) −1.00000 −0.125000
\(65\) −0.278444 + 0.482279i −0.0345367 + 0.0598193i
\(66\) −0.429543 1.70939i −0.0528730 0.210411i
\(67\) 0.768714 + 1.33145i 0.0939133 + 0.162663i 0.909155 0.416459i \(-0.136729\pi\)
−0.815241 + 0.579122i \(0.803396\pi\)
\(68\) −0.748115 + 1.29577i −0.0907223 + 0.157136i
\(69\) −1.52653 + 5.36088i −0.183773 + 0.645374i
\(70\) 3.50532 0.418966
\(71\) −9.71728 + 5.61027i −1.15323 + 0.665817i −0.949672 0.313246i \(-0.898584\pi\)
−0.203557 + 0.979063i \(0.565250\pi\)
\(72\) −1.58038 + 2.54998i −0.186249 + 0.300518i
\(73\) −5.23937 + 3.02495i −0.613222 + 0.354044i −0.774225 0.632910i \(-0.781860\pi\)
0.161003 + 0.986954i \(0.448527\pi\)
\(74\) −1.20507 + 2.08724i −0.140086 + 0.242637i
\(75\) 1.20548 + 1.24372i 0.139196 + 0.143612i
\(76\) −2.58309 + 4.47405i −0.296301 + 0.513208i
\(77\) 3.56700 0.406498
\(78\) 0.935475 0.235071i 0.105922 0.0266165i
\(79\) 0.184595 + 0.106576i 0.0207686 + 0.0119907i 0.510348 0.859968i \(-0.329516\pi\)
−0.489580 + 0.871959i \(0.662850\pi\)
\(80\) 0.866025 0.500000i 0.0968246 0.0559017i
\(81\) 4.00481 + 8.05987i 0.444979 + 0.895541i
\(82\) 4.54027 + 7.86397i 0.501389 + 0.868430i
\(83\) 1.71612 + 2.97241i 0.188369 + 0.326264i 0.944707 0.327917i \(-0.106347\pi\)
−0.756338 + 0.654181i \(0.773013\pi\)
\(84\) −4.22558 4.35962i −0.461049 0.475674i
\(85\) 1.49623i 0.162289i
\(86\) 3.28925 5.69715i 0.354689 0.614339i
\(87\) −1.25438 + 4.40515i −0.134484 + 0.472282i
\(88\) 0.881264 0.508798i 0.0939431 0.0542381i
\(89\) −0.779533 −0.0826303 −0.0413152 0.999146i \(-0.513155\pi\)
−0.0413152 + 0.999146i \(0.513155\pi\)
\(90\) 0.0936563 2.99854i 0.00987224 0.316074i
\(91\) 1.95207i 0.204633i
\(92\) −3.21814 −0.335515
\(93\) −4.87346 + 8.32162i −0.505355 + 0.862912i
\(94\) −8.95636 −0.923778
\(95\) 5.16618i 0.530039i
\(96\) −1.66583 0.474351i −0.170018 0.0484133i
\(97\) 13.2793 1.34831 0.674155 0.738590i \(-0.264508\pi\)
0.674155 + 0.738590i \(0.264508\pi\)
\(98\) 4.57892 2.64364i 0.462540 0.267048i
\(99\) 0.0953043 3.05130i 0.00957845 0.306667i
\(100\) −0.500000 + 0.866025i −0.0500000 + 0.0866025i
\(101\) 17.5078i 1.74209i −0.491200 0.871047i \(-0.663442\pi\)
0.491200 0.871047i \(-0.336558\pi\)
\(102\) −1.86088 + 1.80367i −0.184255 + 0.178590i
\(103\) −0.217920 0.377449i −0.0214723 0.0371911i 0.855090 0.518480i \(-0.173502\pi\)
−0.876562 + 0.481289i \(0.840169\pi\)
\(104\) 0.278444 + 0.482279i 0.0273037 + 0.0472913i
\(105\) 5.83927 + 1.66275i 0.569854 + 0.162268i
\(106\) −3.12954 + 1.80684i −0.303968 + 0.175496i
\(107\) −15.5778 8.99386i −1.50596 0.869469i −0.999976 0.00692852i \(-0.997795\pi\)
−0.505988 0.862540i \(-0.668872\pi\)
\(108\) −3.84223 + 3.49818i −0.369719 + 0.336613i
\(109\) 7.55577 0.723711 0.361856 0.932234i \(-0.382143\pi\)
0.361856 + 0.932234i \(0.382143\pi\)
\(110\) −0.508798 + 0.881264i −0.0485120 + 0.0840252i
\(111\) −2.99752 + 2.90536i −0.284512 + 0.275765i
\(112\) 1.75266 3.03570i 0.165611 0.286846i
\(113\) 4.18028 2.41348i 0.393247 0.227041i −0.290319 0.956930i \(-0.593761\pi\)
0.683566 + 0.729889i \(0.260428\pi\)
\(114\) −6.42526 + 6.22771i −0.601781 + 0.583279i
\(115\) 2.78699 1.60907i 0.259888 0.150047i
\(116\) −2.64442 −0.245528
\(117\) 1.66985 + 0.0521560i 0.154378 + 0.00482183i
\(118\) 4.74774 8.22333i 0.437065 0.757019i
\(119\) −2.62238 4.54210i −0.240394 0.416374i
\(120\) 1.67983 0.422115i 0.153347 0.0385336i
\(121\) 4.98225 8.62951i 0.452932 0.784501i
\(122\) 0.662787 0.0600059
\(123\) 3.83303 + 15.2537i 0.345613 + 1.37538i
\(124\) −5.39138 1.39033i −0.484160 0.124855i
\(125\) 1.00000i 0.0894427i
\(126\) −4.97111 9.26680i −0.442861 0.825552i
\(127\) 16.3303 + 9.42828i 1.44908 + 0.836624i 0.998426 0.0560764i \(-0.0178590\pi\)
0.450650 + 0.892701i \(0.351192\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) 8.18178 7.93022i 0.720366 0.698217i
\(130\) −0.482279 0.278444i −0.0422987 0.0244211i
\(131\) −0.711541 0.410808i −0.0621676 0.0358925i 0.468594 0.883414i \(-0.344761\pi\)
−0.530762 + 0.847521i \(0.678094\pi\)
\(132\) 1.70939 0.429543i 0.148783 0.0373869i
\(133\) −9.05457 15.6830i −0.785131 1.35989i
\(134\) −1.33145 + 0.768714i −0.115020 + 0.0664067i
\(135\) 1.57838 4.95063i 0.135845 0.426082i
\(136\) −1.29577 0.748115i −0.111112 0.0641503i
\(137\) 9.97643 + 17.2797i 0.852344 + 1.47630i 0.879087 + 0.476660i \(0.158153\pi\)
−0.0267437 + 0.999642i \(0.508514\pi\)
\(138\) −5.36088 1.52653i −0.456348 0.129947i
\(139\) 1.22089i 0.103555i 0.998659 + 0.0517773i \(0.0164886\pi\)
−0.998659 + 0.0517773i \(0.983511\pi\)
\(140\) 3.50532i 0.296254i
\(141\) −14.9198 4.24846i −1.25647 0.357785i
\(142\) −5.61027 9.71728i −0.470804 0.815456i
\(143\) −0.490765 0.283343i −0.0410398 0.0236944i
\(144\) −2.54998 1.58038i −0.212498 0.131698i
\(145\) 2.29013 1.32221i 0.190185 0.109804i
\(146\) −3.02495 5.23937i −0.250347 0.433614i
\(147\) 8.88171 2.23184i 0.732551 0.184079i
\(148\) −2.08724 1.20507i −0.171570 0.0990560i
\(149\) −16.6142 9.59220i −1.36109 0.785823i −0.371317 0.928506i \(-0.621094\pi\)
−0.989768 + 0.142683i \(0.954427\pi\)
\(150\) −1.24372 + 1.20548i −0.101549 + 0.0984267i
\(151\) 23.3009i 1.89620i −0.317971 0.948100i \(-0.603002\pi\)
0.317971 0.948100i \(-0.396998\pi\)
\(152\) −4.47405 2.58309i −0.362893 0.209516i
\(153\) −3.95549 + 2.12189i −0.319783 + 0.171545i
\(154\) 3.56700i 0.287437i
\(155\) 5.36424 1.49163i 0.430866 0.119810i
\(156\) 0.235071 + 0.935475i 0.0188207 + 0.0748979i
\(157\) 10.7418 0.857290 0.428645 0.903473i \(-0.358991\pi\)
0.428645 + 0.903473i \(0.358991\pi\)
\(158\) −0.106576 + 0.184595i −0.00847874 + 0.0146856i
\(159\) −6.07037 + 1.52539i −0.481411 + 0.120971i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 5.64031 9.76931i 0.444519 0.769929i
\(162\) −8.05987 + 4.00481i −0.633243 + 0.314648i
\(163\) −3.56174 −0.278977 −0.139488 0.990224i \(-0.544546\pi\)
−0.139488 + 0.990224i \(0.544546\pi\)
\(164\) −7.86397 + 4.54027i −0.614073 + 0.354535i
\(165\) −1.26560 + 1.22669i −0.0985268 + 0.0954975i
\(166\) −2.97241 + 1.71612i −0.230704 + 0.133197i
\(167\) −5.75062 + 9.96036i −0.444996 + 0.770756i −0.998052 0.0623883i \(-0.980128\pi\)
0.553056 + 0.833144i \(0.313462\pi\)
\(168\) 4.35962 4.22558i 0.336352 0.326011i
\(169\) −6.34494 + 10.9898i −0.488072 + 0.845366i
\(170\) 1.49623 0.114756
\(171\) −13.6575 + 7.32648i −1.04442 + 0.560270i
\(172\) 5.69715 + 3.28925i 0.434404 + 0.250803i
\(173\) 2.03876 1.17708i 0.155004 0.0894917i −0.420492 0.907296i \(-0.638142\pi\)
0.575496 + 0.817805i \(0.304809\pi\)
\(174\) −4.40515 1.25438i −0.333954 0.0950946i
\(175\) −1.75266 3.03570i −0.132489 0.229477i
\(176\) 0.508798 + 0.881264i 0.0383521 + 0.0664278i
\(177\) 11.8097 11.4466i 0.887670 0.860377i
\(178\) 0.779533i 0.0584285i
\(179\) 1.49415 2.58794i 0.111678 0.193432i −0.804769 0.593588i \(-0.797711\pi\)
0.916447 + 0.400156i \(0.131044\pi\)
\(180\) 2.99854 + 0.0936563i 0.223498 + 0.00698073i
\(181\) 18.9344 10.9318i 1.40738 0.812552i 0.412246 0.911073i \(-0.364744\pi\)
0.995135 + 0.0985208i \(0.0314111\pi\)
\(182\) −1.95207 −0.144697
\(183\) 1.10409 + 0.314394i 0.0816167 + 0.0232407i
\(184\) 3.21814i 0.237245i
\(185\) 2.41014 0.177197
\(186\) −8.32162 4.87346i −0.610171 0.357340i
\(187\) 1.52256 0.111340
\(188\) 8.95636i 0.653210i
\(189\) −3.88530 17.7950i −0.282614 1.29439i
\(190\) 5.16618 0.374794
\(191\) −8.08961 + 4.67054i −0.585343 + 0.337948i −0.763254 0.646099i \(-0.776400\pi\)
0.177911 + 0.984047i \(0.443066\pi\)
\(192\) 0.474351 1.66583i 0.0342334 0.120221i
\(193\) −0.846405 + 1.46602i −0.0609256 + 0.105526i −0.894879 0.446308i \(-0.852739\pi\)
0.833954 + 0.551834i \(0.186072\pi\)
\(194\) 13.2793i 0.953400i
\(195\) −0.671315 0.692610i −0.0480738 0.0495988i
\(196\) 2.64364 + 4.57892i 0.188831 + 0.327065i
\(197\) 7.92946 + 13.7342i 0.564951 + 0.978524i 0.997054 + 0.0766996i \(0.0244383\pi\)
−0.432103 + 0.901824i \(0.642228\pi\)
\(198\) 3.05130 + 0.0953043i 0.216847 + 0.00677298i
\(199\) −11.7826 + 6.80268i −0.835246 + 0.482229i −0.855645 0.517562i \(-0.826840\pi\)
0.0203995 + 0.999792i \(0.493506\pi\)
\(200\) −0.866025 0.500000i −0.0612372 0.0353553i
\(201\) −2.58261 + 0.648971i −0.182163 + 0.0457749i
\(202\) 17.5078 1.23185
\(203\) 4.63477 8.02765i 0.325297 0.563431i
\(204\) −1.80367 1.86088i −0.126282 0.130288i
\(205\) 4.54027 7.86397i 0.317106 0.549244i
\(206\) 0.377449 0.217920i 0.0262981 0.0151832i
\(207\) −8.20621 5.08588i −0.570371 0.353493i
\(208\) −0.482279 + 0.278444i −0.0334400 + 0.0193066i
\(209\) 5.25709 0.363641
\(210\) −1.66275 + 5.83927i −0.114741 + 0.402948i
\(211\) −4.46360 + 7.73118i −0.307287 + 0.532236i −0.977768 0.209690i \(-0.932754\pi\)
0.670481 + 0.741927i \(0.266088\pi\)
\(212\) −1.80684 3.12954i −0.124094 0.214938i
\(213\) −4.73636 18.8486i −0.324530 1.29148i
\(214\) 8.99386 15.5778i 0.614807 1.06488i
\(215\) −6.57850 −0.448650
\(216\) −3.49818 3.84223i −0.238021 0.261431i
\(217\) 13.6699 13.9298i 0.927972 0.945618i
\(218\) 7.55577i 0.511741i
\(219\) −2.55376 10.1628i −0.172567 0.686738i
\(220\) −0.881264 0.508798i −0.0594148 0.0343032i
\(221\) 0.833232i 0.0560493i
\(222\) −2.90536 2.99752i −0.194995 0.201181i
\(223\) 6.97582 + 4.02749i 0.467136 + 0.269701i 0.715040 0.699084i \(-0.246408\pi\)
−0.247904 + 0.968785i \(0.579742\pi\)
\(224\) 3.03570 + 1.75266i 0.202831 + 0.117105i
\(225\) −2.64364 + 1.41816i −0.176243 + 0.0945440i
\(226\) 2.41348 + 4.18028i 0.160543 + 0.278068i
\(227\) −15.0890 + 8.71161i −1.00149 + 0.578210i −0.908689 0.417475i \(-0.862915\pi\)
−0.0928007 + 0.995685i \(0.529582\pi\)
\(228\) −6.22771 6.42526i −0.412440 0.425524i
\(229\) −12.2125 7.05087i −0.807023 0.465935i 0.0388982 0.999243i \(-0.487615\pi\)
−0.845921 + 0.533308i \(0.820949\pi\)
\(230\) 1.60907 + 2.78699i 0.106099 + 0.183769i
\(231\) −1.69201 + 5.94202i −0.111326 + 0.390956i
\(232\) 2.64442i 0.173615i
\(233\) 2.39244i 0.156734i 0.996925 + 0.0783669i \(0.0249706\pi\)
−0.996925 + 0.0783669i \(0.975029\pi\)
\(234\) −0.0521560 + 1.66985i −0.00340955 + 0.109161i
\(235\) 4.47818 + 7.75644i 0.292124 + 0.505974i
\(236\) 8.22333 + 4.74774i 0.535293 + 0.309052i
\(237\) −0.265101 + 0.256950i −0.0172201 + 0.0166907i
\(238\) 4.54210 2.62238i 0.294421 0.169984i
\(239\) −5.50979 9.54323i −0.356398 0.617300i 0.630958 0.775817i \(-0.282662\pi\)
−0.987356 + 0.158517i \(0.949329\pi\)
\(240\) 0.422115 + 1.67983i 0.0272474 + 0.108432i
\(241\) 21.5818 + 12.4602i 1.39020 + 0.802634i 0.993337 0.115243i \(-0.0367646\pi\)
0.396866 + 0.917877i \(0.370098\pi\)
\(242\) 8.62951 + 4.98225i 0.554726 + 0.320271i
\(243\) −15.3261 + 2.84813i −0.983167 + 0.182708i
\(244\) 0.662787i 0.0424306i
\(245\) −4.57892 2.64364i −0.292536 0.168896i
\(246\) −15.2537 + 3.83303i −0.972542 + 0.244385i
\(247\) 2.87698i 0.183058i
\(248\) 1.39033 5.39138i 0.0882861 0.342353i
\(249\) −5.76557 + 1.44880i −0.365378 + 0.0918140i
\(250\) 1.00000 0.0632456
\(251\) 6.60787 11.4452i 0.417085 0.722413i −0.578560 0.815640i \(-0.696385\pi\)
0.995645 + 0.0932274i \(0.0297183\pi\)
\(252\) 9.26680 4.97111i 0.583754 0.313150i
\(253\) 1.63739 + 2.83603i 0.102942 + 0.178300i
\(254\) −9.42828 + 16.3303i −0.591583 + 1.02465i
\(255\) 2.49247 + 0.709739i 0.156084 + 0.0444456i
\(256\) 1.00000 0.0625000
\(257\) −22.1051 + 12.7624i −1.37888 + 0.796096i −0.992025 0.126044i \(-0.959772\pi\)
−0.386855 + 0.922141i \(0.626439\pi\)
\(258\) 7.93022 + 8.18178i 0.493714 + 0.509376i
\(259\) 7.31644 4.22415i 0.454622 0.262476i
\(260\) 0.278444 0.482279i 0.0172684 0.0299097i
\(261\) −6.74322 4.17918i −0.417395 0.258685i
\(262\) 0.410808 0.711541i 0.0253798 0.0439591i
\(263\) −17.3755 −1.07142 −0.535709 0.844403i \(-0.679956\pi\)
−0.535709 + 0.844403i \(0.679956\pi\)
\(264\) 0.429543 + 1.70939i 0.0264365 + 0.105205i
\(265\) 3.12954 + 1.80684i 0.192246 + 0.110993i
\(266\) 15.6830 9.05457i 0.961585 0.555171i
\(267\) 0.369773 1.29857i 0.0226297 0.0794712i
\(268\) −0.768714 1.33145i −0.0469567 0.0813313i
\(269\) 5.43030 + 9.40555i 0.331091 + 0.573466i 0.982726 0.185066i \(-0.0592499\pi\)
−0.651635 + 0.758533i \(0.725917\pi\)
\(270\) 4.95063 + 1.57838i 0.301286 + 0.0960569i
\(271\) 0.444297i 0.0269891i −0.999909 0.0134945i \(-0.995704\pi\)
0.999909 0.0134945i \(-0.00429558\pi\)
\(272\) 0.748115 1.29577i 0.0453611 0.0785678i
\(273\) −3.25182 0.925967i −0.196809 0.0560421i
\(274\) −17.2797 + 9.97643i −1.04390 + 0.602698i
\(275\) 1.01760 0.0613634
\(276\) 1.52653 5.36088i 0.0918863 0.322687i
\(277\) 8.03697i 0.482895i −0.970414 0.241447i \(-0.922378\pi\)
0.970414 0.241447i \(-0.0776221\pi\)
\(278\) −1.22089 −0.0732242
\(279\) −11.5507 12.0657i −0.691521 0.722357i
\(280\) −3.50532 −0.209483
\(281\) 13.9273i 0.830831i −0.909632 0.415415i \(-0.863636\pi\)
0.909632 0.415415i \(-0.136364\pi\)
\(282\) 4.24846 14.9198i 0.252992 0.888460i
\(283\) −28.1351 −1.67246 −0.836230 0.548379i \(-0.815245\pi\)
−0.836230 + 0.548379i \(0.815245\pi\)
\(284\) 9.71728 5.61027i 0.576614 0.332909i
\(285\) 8.60599 + 2.45059i 0.509775 + 0.145160i
\(286\) 0.283343 0.490765i 0.0167544 0.0290195i
\(287\) 31.8302i 1.87888i
\(288\) 1.58038 2.54998i 0.0931246 0.150259i
\(289\) 7.38065 + 12.7837i 0.434156 + 0.751980i
\(290\) 1.32221 + 2.29013i 0.0776428 + 0.134481i
\(291\) −6.29906 + 22.1211i −0.369258 + 1.29676i
\(292\) 5.23937 3.02495i 0.306611 0.177022i
\(293\) −19.0627 11.0058i −1.11365 0.642968i −0.173880 0.984767i \(-0.555630\pi\)
−0.939773 + 0.341799i \(0.888964\pi\)
\(294\) 2.23184 + 8.88171i 0.130163 + 0.517992i
\(295\) −9.49548 −0.552848
\(296\) 1.20507 2.08724i 0.0700431 0.121318i
\(297\) 5.03774 + 1.60615i 0.292319 + 0.0931982i
\(298\) 9.59220 16.6142i 0.555661 0.962433i
\(299\) −1.55204 + 0.896072i −0.0897569 + 0.0518212i
\(300\) −1.20548 1.24372i −0.0695982 0.0718059i
\(301\) −19.9703 + 11.5299i −1.15107 + 0.664571i
\(302\) 23.3009 1.34082
\(303\) 29.1651 + 8.30486i 1.67549 + 0.477102i
\(304\) 2.58309 4.47405i 0.148151 0.256604i
\(305\) −0.331394 0.573990i −0.0189755 0.0328666i
\(306\) −2.12189 3.95549i −0.121301 0.226120i
\(307\) −2.89082 + 5.00704i −0.164988 + 0.285767i −0.936651 0.350264i \(-0.886092\pi\)
0.771663 + 0.636031i \(0.219425\pi\)
\(308\) −3.56700 −0.203249
\(309\) 0.732136 0.183975i 0.0416498 0.0104660i
\(310\) 1.49163 + 5.36424i 0.0847188 + 0.304668i
\(311\) 0.448742i 0.0254458i −0.999919 0.0127229i \(-0.995950\pi\)
0.999919 0.0127229i \(-0.00404994\pi\)
\(312\) −0.935475 + 0.235071i −0.0529608 + 0.0133082i
\(313\) 15.1343 + 8.73777i 0.855439 + 0.493888i 0.862482 0.506087i \(-0.168909\pi\)
−0.00704303 + 0.999975i \(0.502242\pi\)
\(314\) 10.7418i 0.606196i
\(315\) −5.53973 + 8.93850i −0.312128 + 0.503628i
\(316\) −0.184595 0.106576i −0.0103843 0.00599537i
\(317\) 1.12178 + 0.647660i 0.0630055 + 0.0363762i 0.531172 0.847264i \(-0.321752\pi\)
−0.468166 + 0.883640i \(0.655085\pi\)
\(318\) −1.52539 6.07037i −0.0855397 0.340409i
\(319\) 1.34548 + 2.33043i 0.0753322 + 0.130479i
\(320\) −0.866025 + 0.500000i −0.0484123 + 0.0279508i
\(321\) 22.3716 21.6838i 1.24866 1.21027i
\(322\) 9.76931 + 5.64031i 0.544422 + 0.314322i
\(323\) −3.86490 6.69421i −0.215049 0.372476i
\(324\) −4.00481 8.05987i −0.222490 0.447770i
\(325\) 0.556888i 0.0308906i
\(326\) 3.56174i 0.197266i
\(327\) −3.58409 + 12.5866i −0.198201 + 0.696042i
\(328\) −4.54027 7.86397i −0.250694 0.434215i
\(329\) 27.1888 + 15.6975i 1.49897 + 0.865429i
\(330\) −1.22669 1.26560i −0.0675269 0.0696690i
\(331\) −17.5084 + 10.1085i −0.962351 + 0.555614i −0.896896 0.442242i \(-0.854183\pi\)
−0.0654553 + 0.997856i \(0.520850\pi\)
\(332\) −1.71612 2.97241i −0.0941844 0.163132i
\(333\) −3.41796 6.37153i −0.187303 0.349158i
\(334\) −9.96036 5.75062i −0.545007 0.314660i
\(335\) 1.33145 + 0.768714i 0.0727449 + 0.0419993i
\(336\) 4.22558 + 4.35962i 0.230524 + 0.237837i
\(337\) 11.8084i 0.643243i −0.946868 0.321622i \(-0.895772\pi\)
0.946868 0.321622i \(-0.104228\pi\)
\(338\) −10.9898 6.34494i −0.597764 0.345119i
\(339\) 2.03753 + 8.10847i 0.110664 + 0.440392i
\(340\) 1.49623i 0.0811445i
\(341\) 1.51788 + 5.45863i 0.0821976 + 0.295601i
\(342\) −7.32648 13.6575i −0.396171 0.738514i
\(343\) 6.00365 0.324166
\(344\) −3.28925 + 5.69715i −0.177345 + 0.307170i
\(345\) 1.35843 + 5.40592i 0.0731352 + 0.291045i
\(346\) 1.17708 + 2.03876i 0.0632802 + 0.109605i
\(347\) 2.75581 4.77321i 0.147940 0.256239i −0.782526 0.622618i \(-0.786069\pi\)
0.930466 + 0.366379i \(0.119402\pi\)
\(348\) 1.25438 4.40515i 0.0672420 0.236141i
\(349\) −21.0390 −1.12619 −0.563095 0.826392i \(-0.690390\pi\)
−0.563095 + 0.826392i \(0.690390\pi\)
\(350\) 3.03570 1.75266i 0.162265 0.0936836i
\(351\) −0.878978 + 2.75694i −0.0469164 + 0.147155i
\(352\) −0.881264 + 0.508798i −0.0469715 + 0.0271190i
\(353\) −12.9487 + 22.4278i −0.689189 + 1.19371i 0.282912 + 0.959146i \(0.408700\pi\)
−0.972101 + 0.234564i \(0.924634\pi\)
\(354\) 11.4466 + 11.8097i 0.608379 + 0.627677i
\(355\) −5.61027 + 9.71728i −0.297762 + 0.515740i
\(356\) 0.779533 0.0413152
\(357\) 8.81030 2.21389i 0.466291 0.117172i
\(358\) 2.58794 + 1.49415i 0.136777 + 0.0789683i
\(359\) 7.88537 4.55262i 0.416174 0.240278i −0.277265 0.960793i \(-0.589428\pi\)
0.693439 + 0.720515i \(0.256095\pi\)
\(360\) −0.0936563 + 2.99854i −0.00493612 + 0.158037i
\(361\) −3.84473 6.65927i −0.202354 0.350488i
\(362\) 10.9318 + 18.9344i 0.574561 + 0.995169i
\(363\) 12.0120 + 12.3930i 0.630464 + 0.650464i
\(364\) 1.95207i 0.102316i
\(365\) −3.02495 + 5.23937i −0.158333 + 0.274241i
\(366\) −0.314394 + 1.10409i −0.0164336 + 0.0577117i
\(367\) −29.0390 + 16.7657i −1.51582 + 0.875162i −0.515997 + 0.856590i \(0.672579\pi\)
−0.999828 + 0.0185717i \(0.994088\pi\)
\(368\) 3.21814 0.167757
\(369\) −27.2283 0.850449i −1.41745 0.0442726i
\(370\) 2.41014i 0.125297i
\(371\) 12.6671 0.657645
\(372\) 4.87346 8.32162i 0.252677 0.431456i
\(373\) −23.3875 −1.21096 −0.605479 0.795862i \(-0.707018\pi\)
−0.605479 + 0.795862i \(0.707018\pi\)
\(374\) 1.52256i 0.0787296i
\(375\) 1.66583 + 0.474351i 0.0860231 + 0.0244954i
\(376\) 8.95636 0.461889
\(377\) −1.27535 + 0.736322i −0.0656837 + 0.0379225i
\(378\) 17.7950 3.88530i 0.915274 0.199838i
\(379\) −5.80353 + 10.0520i −0.298107 + 0.516337i −0.975703 0.219098i \(-0.929689\pi\)
0.677596 + 0.735435i \(0.263022\pi\)
\(380\) 5.16618i 0.265020i
\(381\) −23.4522 + 22.7311i −1.20149 + 1.16455i
\(382\) −4.67054 8.08961i −0.238965 0.413900i
\(383\) 1.14352 + 1.98063i 0.0584311 + 0.101206i 0.893761 0.448543i \(-0.148057\pi\)
−0.835330 + 0.549749i \(0.814724\pi\)
\(384\) 1.66583 + 0.474351i 0.0850091 + 0.0242066i
\(385\) 3.08911 1.78350i 0.157436 0.0908956i
\(386\) −1.46602 0.846405i −0.0746183 0.0430809i
\(387\) 9.32937 + 17.3912i 0.474238 + 0.884043i
\(388\) −13.2793 −0.674155
\(389\) 1.40760 2.43804i 0.0713684 0.123614i −0.828133 0.560532i \(-0.810597\pi\)
0.899501 + 0.436918i \(0.143930\pi\)
\(390\) 0.692610 0.671315i 0.0350717 0.0339933i
\(391\) 2.40754 4.16998i 0.121755 0.210885i
\(392\) −4.57892 + 2.64364i −0.231270 + 0.133524i
\(393\) 1.02186 0.990439i 0.0515459 0.0499610i
\(394\) −13.7342 + 7.92946i −0.691921 + 0.399481i
\(395\) 0.213152 0.0107248
\(396\) −0.0953043 + 3.05130i −0.00478922 + 0.153334i
\(397\) −2.67976 + 4.64148i −0.134493 + 0.232949i −0.925404 0.378983i \(-0.876274\pi\)
0.790910 + 0.611932i \(0.209607\pi\)
\(398\) −6.80268 11.7826i −0.340988 0.590608i
\(399\) 30.4202 7.64414i 1.52292 0.382685i
\(400\) 0.500000 0.866025i 0.0250000 0.0433013i
\(401\) 11.7824 0.588384 0.294192 0.955746i \(-0.404950\pi\)
0.294192 + 0.955746i \(0.404950\pi\)
\(402\) −0.648971 2.58261i −0.0323677 0.128809i
\(403\) −2.98728 + 0.830669i −0.148807 + 0.0413786i
\(404\) 17.5078i 0.871047i
\(405\) 7.49820 + 4.97764i 0.372589 + 0.247341i
\(406\) 8.02765 + 4.63477i 0.398406 + 0.230020i
\(407\) 2.45255i 0.121568i
\(408\) 1.86088 1.80367i 0.0921275 0.0892949i
\(409\) −0.573155 0.330911i −0.0283407 0.0163625i 0.485763 0.874091i \(-0.338542\pi\)
−0.514103 + 0.857728i \(0.671875\pi\)
\(410\) 7.86397 + 4.54027i 0.388374 + 0.224228i
\(411\) −33.5173 + 8.42240i −1.65329 + 0.415446i
\(412\) 0.217920 + 0.377449i 0.0107362 + 0.0185956i
\(413\) −28.8254 + 16.6424i −1.41841 + 0.818917i
\(414\) 5.08588 8.20621i 0.249957 0.403313i
\(415\) 2.97241 + 1.71612i 0.145910 + 0.0842411i
\(416\) −0.278444 0.482279i −0.0136518 0.0236457i
\(417\) −2.03380 0.579131i −0.0995955 0.0283602i
\(418\) 5.25709i 0.257133i
\(419\) 4.45152i 0.217471i −0.994071 0.108736i \(-0.965320\pi\)
0.994071 0.108736i \(-0.0346802\pi\)
\(420\) −5.83927 1.66275i −0.284927 0.0811341i
\(421\) 5.24985 + 9.09301i 0.255862 + 0.443166i 0.965129 0.261774i \(-0.0843073\pi\)
−0.709267 + 0.704940i \(0.750974\pi\)
\(422\) −7.73118 4.46360i −0.376348 0.217285i
\(423\) 14.1544 22.8386i 0.688212 1.11045i
\(424\) 3.12954 1.80684i 0.151984 0.0877480i
\(425\) −0.748115 1.29577i −0.0362889 0.0628542i
\(426\) 18.8486 4.73636i 0.913217 0.229477i
\(427\) −2.01202 1.16164i −0.0973685 0.0562157i
\(428\) 15.5778 + 8.99386i 0.752982 + 0.434734i
\(429\) 0.704797 0.683127i 0.0340279 0.0329817i
\(430\) 6.57850i 0.317244i
\(431\) 10.1716 + 5.87257i 0.489948 + 0.282872i 0.724553 0.689219i \(-0.242046\pi\)
−0.234605 + 0.972091i \(0.575380\pi\)
\(432\) 3.84223 3.49818i 0.184859 0.168306i
\(433\) 0.986441i 0.0474053i 0.999719 + 0.0237027i \(0.00754550\pi\)
−0.999719 + 0.0237027i \(0.992455\pi\)
\(434\) 13.9298 + 13.6699i 0.668653 + 0.656175i
\(435\) 1.11625 + 4.44217i 0.0535200 + 0.212986i
\(436\) −7.55577 −0.361856
\(437\) 8.31276 14.3981i 0.397653 0.688756i
\(438\) 10.1628 2.55376i 0.485597 0.122023i
\(439\) −0.755941 1.30933i −0.0360791 0.0624909i 0.847422 0.530920i \(-0.178153\pi\)
−0.883501 + 0.468429i \(0.844820\pi\)
\(440\) 0.508798 0.881264i 0.0242560 0.0420126i
\(441\) −0.495187 + 15.8541i −0.0235803 + 0.754957i
\(442\) −0.833232 −0.0396328
\(443\) 32.6594 18.8559i 1.55169 0.895871i 0.553690 0.832723i \(-0.313219\pi\)
0.998004 0.0631476i \(-0.0201139\pi\)
\(444\) 2.99752 2.90536i 0.142256 0.137882i
\(445\) −0.675095 + 0.389767i −0.0320026 + 0.0184767i
\(446\) −4.02749 + 6.97582i −0.190707 + 0.330315i
\(447\) 23.8599 23.1263i 1.12854 1.09384i
\(448\) −1.75266 + 3.03570i −0.0828054 + 0.143423i
\(449\) 19.1329 0.902938 0.451469 0.892287i \(-0.350900\pi\)
0.451469 + 0.892287i \(0.350900\pi\)
\(450\) −1.41816 2.64364i −0.0668527 0.124622i
\(451\) 8.00235 + 4.62016i 0.376816 + 0.217555i
\(452\) −4.18028 + 2.41348i −0.196624 + 0.113521i
\(453\) 38.8154 + 11.0528i 1.82370 + 0.519307i
\(454\) −8.71161 15.0890i −0.408856 0.708160i
\(455\) 0.976035 + 1.69054i 0.0457572 + 0.0792538i
\(456\) 6.42526 6.22771i 0.300891 0.291639i
\(457\) 33.8765i 1.58468i −0.610082 0.792338i \(-0.708864\pi\)
0.610082 0.792338i \(-0.291136\pi\)
\(458\) 7.05087 12.2125i 0.329466 0.570651i
\(459\) −1.65842 7.59570i −0.0774086 0.354537i
\(460\) −2.78699 + 1.60907i −0.129944 + 0.0750233i
\(461\) −20.2187 −0.941678 −0.470839 0.882219i \(-0.656049\pi\)
−0.470839 + 0.882219i \(0.656049\pi\)
\(462\) −5.94202 1.69201i −0.276448 0.0787195i
\(463\) 4.75152i 0.220822i −0.993886 0.110411i \(-0.964783\pi\)
0.993886 0.110411i \(-0.0352167\pi\)
\(464\) 2.64442 0.122764
\(465\) −0.0597329 + 9.64347i −0.00277005 + 0.447205i
\(466\) −2.39244 −0.110828
\(467\) 4.46882i 0.206792i −0.994640 0.103396i \(-0.967029\pi\)
0.994640 0.103396i \(-0.0329709\pi\)
\(468\) −1.66985 0.0521560i −0.0771888 0.00241091i
\(469\) 5.38918 0.248849
\(470\) −7.75644 + 4.47818i −0.357778 + 0.206563i
\(471\) −5.09539 + 17.8940i −0.234783 + 0.824514i
\(472\) −4.74774 + 8.22333i −0.218533 + 0.378509i
\(473\) 6.69426i 0.307802i
\(474\) −0.256950 0.265101i −0.0118021 0.0121765i
\(475\) −2.58309 4.47405i −0.118520 0.205283i
\(476\) 2.62238 + 4.54210i 0.120197 + 0.208187i
\(477\) 0.338445 10.8358i 0.0154963 0.496136i
\(478\) 9.54323 5.50979i 0.436497 0.252012i
\(479\) −7.32007 4.22624i −0.334463 0.193102i 0.323358 0.946277i \(-0.395188\pi\)
−0.657821 + 0.753175i \(0.728522\pi\)
\(480\) −1.67983 + 0.422115i −0.0766733 + 0.0192668i
\(481\) −1.34217 −0.0611979
\(482\) −12.4602 + 21.5818i −0.567548 + 0.983022i
\(483\) 13.5985 + 14.0299i 0.618754 + 0.638382i
\(484\) −4.98225 + 8.62951i −0.226466 + 0.392250i
\(485\) 11.5002 6.63966i 0.522198 0.301491i
\(486\) −2.84813 15.3261i −0.129194 0.695204i
\(487\) −29.2380 + 16.8806i −1.32490 + 0.764931i −0.984506 0.175352i \(-0.943894\pi\)
−0.340394 + 0.940283i \(0.610560\pi\)
\(488\) −0.662787 −0.0300030
\(489\) 1.68952 5.93325i 0.0764025 0.268311i
\(490\) 2.64364 4.57892i 0.119427 0.206854i
\(491\) 3.86335 + 6.69152i 0.174351 + 0.301984i 0.939936 0.341350i \(-0.110884\pi\)
−0.765586 + 0.643334i \(0.777551\pi\)
\(492\) −3.83303 15.2537i −0.172806 0.687691i
\(493\) 1.97833 3.42657i 0.0890995 0.154325i
\(494\) −2.87698 −0.129442
\(495\) −1.44311 2.69016i −0.0648632 0.120914i
\(496\) 5.39138 + 1.39033i 0.242080 + 0.0624277i
\(497\) 39.3316i 1.76426i
\(498\) −1.44880 5.76557i −0.0649223 0.258362i
\(499\) 28.3347 + 16.3590i 1.26843 + 0.732330i 0.974691 0.223554i \(-0.0717660\pi\)
0.293742 + 0.955885i \(0.405099\pi\)
\(500\) 1.00000i 0.0447214i
\(501\) −13.8645 14.3043i −0.619418 0.639067i
\(502\) 11.4452 + 6.60787i 0.510823 + 0.294924i
\(503\) 25.7137 + 14.8458i 1.14652 + 0.661942i 0.948036 0.318162i \(-0.103066\pi\)
0.198482 + 0.980105i \(0.436399\pi\)
\(504\) 4.97111 + 9.26680i 0.221431 + 0.412776i
\(505\) −8.75391 15.1622i −0.389544 0.674710i
\(506\) −2.83603 + 1.63739i −0.126077 + 0.0727906i
\(507\) −15.2973 15.7826i −0.679379 0.700930i
\(508\) −16.3303 9.42828i −0.724538 0.418312i
\(509\) −13.1355 22.7513i −0.582219 1.00843i −0.995216 0.0977008i \(-0.968851\pi\)
0.412997 0.910733i \(-0.364482\pi\)
\(510\) −0.709739 + 2.49247i −0.0314278 + 0.110368i
\(511\) 21.2069i 0.938137i
\(512\) 1.00000i 0.0441942i
\(513\) −5.72620 26.2264i −0.252818 1.15793i
\(514\) −12.7624 22.1051i −0.562925 0.975015i
\(515\) −0.377449 0.217920i −0.0166324 0.00960271i
\(516\) −8.18178 + 7.93022i −0.360183 + 0.349109i
\(517\) −7.89292 + 4.55698i −0.347130 + 0.200416i
\(518\) 4.22415 + 7.31644i 0.185598 + 0.321466i
\(519\) 0.993726 + 3.95458i 0.0436197 + 0.173587i
\(520\) 0.482279 + 0.278444i 0.0211493 + 0.0122106i
\(521\) 33.3101 + 19.2316i 1.45934 + 0.842552i 0.998979 0.0451783i \(-0.0143856\pi\)
0.460364 + 0.887730i \(0.347719\pi\)
\(522\) 4.17918 6.74322i 0.182918 0.295143i
\(523\) 7.33956i 0.320937i 0.987041 + 0.160468i \(0.0513004\pi\)
−0.987041 + 0.160468i \(0.948700\pi\)
\(524\) 0.711541 + 0.410808i 0.0310838 + 0.0179462i
\(525\) 5.88833 1.47965i 0.256988 0.0645771i
\(526\) 17.3755i 0.757607i
\(527\) 5.83493 5.94588i 0.254173 0.259007i
\(528\) −1.70939 + 0.429543i −0.0743915 + 0.0186934i
\(529\) −12.6436 −0.549720
\(530\) −1.80684 + 3.12954i −0.0784842 + 0.135939i
\(531\) 13.4661 + 25.1026i 0.584380 + 1.08936i
\(532\) 9.05457 + 15.6830i 0.392565 + 0.679943i
\(533\) −2.52842 + 4.37935i −0.109518 + 0.189691i
\(534\) 1.29857 + 0.369773i 0.0561946 + 0.0160016i
\(535\) −17.9877 −0.777677
\(536\) 1.33145 0.768714i 0.0575099 0.0332034i
\(537\) 3.60232 + 3.71659i 0.155452 + 0.160383i
\(538\) −9.40555 + 5.43030i −0.405502 + 0.234117i
\(539\) 2.69016 4.65949i 0.115873 0.200698i
\(540\) −1.57838 + 4.95063i −0.0679225 + 0.213041i
\(541\) −13.7846 + 23.8755i −0.592644 + 1.02649i 0.401231 + 0.915977i \(0.368583\pi\)
−0.993875 + 0.110513i \(0.964751\pi\)
\(542\) 0.444297 0.0190842
\(543\) 9.22892 + 36.7270i 0.396051 + 1.57610i
\(544\) 1.29577 + 0.748115i 0.0555558 + 0.0320752i
\(545\) 6.54349 3.77788i 0.280292 0.161827i
\(546\) 0.925967 3.25182i 0.0396277 0.139165i
\(547\) 17.8437 + 30.9062i 0.762941 + 1.32145i 0.941328 + 0.337493i \(0.109579\pi\)
−0.178387 + 0.983960i \(0.557088\pi\)
\(548\) −9.97643 17.2797i −0.426172 0.738151i
\(549\) −1.04745 + 1.69009i −0.0447042 + 0.0721315i
\(550\) 1.01760i 0.0433905i
\(551\) 6.83078 11.8313i 0.291001 0.504028i
\(552\) 5.36088 + 1.52653i 0.228174 + 0.0649734i
\(553\) 0.647065 0.373583i 0.0275160 0.0158864i
\(554\) 8.03697 0.341458
\(555\) −1.14325 + 4.01488i −0.0485283 + 0.170422i
\(556\) 1.22089i 0.0517773i
\(557\) −7.54761 −0.319803 −0.159901 0.987133i \(-0.551118\pi\)
−0.159901 + 0.987133i \(0.551118\pi\)
\(558\) 12.0657 11.5507i 0.510783 0.488979i
\(559\) 3.66349 0.154949
\(560\) 3.50532i 0.148127i
\(561\) −0.722228 + 2.53632i −0.0304925 + 0.107084i
\(562\) 13.9273 0.587486
\(563\) −14.7599 + 8.52162i −0.622054 + 0.359143i −0.777668 0.628675i \(-0.783598\pi\)
0.155614 + 0.987818i \(0.450264\pi\)
\(564\) 14.9198 + 4.24846i 0.628236 + 0.178892i
\(565\) 2.41348 4.18028i 0.101536 0.175866i
\(566\) 28.1351i 1.18261i
\(567\) 31.4864 + 1.96881i 1.32230 + 0.0826824i
\(568\) 5.61027 + 9.71728i 0.235402 + 0.407728i
\(569\) −16.3440 28.3087i −0.685178 1.18676i −0.973381 0.229194i \(-0.926391\pi\)
0.288203 0.957569i \(-0.406942\pi\)
\(570\) −2.45059 + 8.60599i −0.102644 + 0.360465i
\(571\) −36.0942 + 20.8390i −1.51049 + 0.872084i −0.510569 + 0.859837i \(0.670565\pi\)
−0.999925 + 0.0122468i \(0.996102\pi\)
\(572\) 0.490765 + 0.283343i 0.0205199 + 0.0118472i
\(573\) −3.94301 15.6914i −0.164721 0.655517i
\(574\) 31.8302 1.32857
\(575\) 1.60907 2.78699i 0.0671029 0.116226i
\(576\) 2.54998 + 1.58038i 0.106249 + 0.0658491i
\(577\) −18.9525 + 32.8266i −0.789002 + 1.36659i 0.137577 + 0.990491i \(0.456069\pi\)
−0.926579 + 0.376100i \(0.877265\pi\)
\(578\) −12.7837 + 7.38065i −0.531730 + 0.306994i
\(579\) −2.04064 2.10537i −0.0848061 0.0874963i
\(580\) −2.29013 + 1.32221i −0.0950926 + 0.0549018i
\(581\) 12.0311 0.499135
\(582\) −22.1211 6.29906i −0.916949 0.261105i
\(583\) −1.83864 + 3.18461i −0.0761485 + 0.131893i
\(584\) 3.02495 + 5.23937i 0.125173 + 0.216807i
\(585\) 1.47221 0.789756i 0.0608684 0.0326524i
\(586\) 11.0058 19.0627i 0.454647 0.787471i
\(587\) 26.0324 1.07447 0.537237 0.843431i \(-0.319468\pi\)
0.537237 + 0.843431i \(0.319468\pi\)
\(588\) −8.88171 + 2.23184i −0.366276 + 0.0920394i
\(589\) 20.1468 20.5299i 0.830136 0.845921i
\(590\) 9.49548i 0.390923i
\(591\) −26.6403 + 6.69429i −1.09583 + 0.275366i
\(592\) 2.08724 + 1.20507i 0.0857850 + 0.0495280i
\(593\) 16.4572i 0.675817i 0.941179 + 0.337908i \(0.109719\pi\)
−0.941179 + 0.337908i \(0.890281\pi\)
\(594\) −1.60615 + 5.03774i −0.0659011 + 0.206701i
\(595\) −4.54210 2.62238i −0.186208 0.107507i
\(596\) 16.6142 + 9.59220i 0.680543 + 0.392912i
\(597\) −5.74303 22.8547i −0.235047 0.935379i
\(598\) −0.896072 1.55204i −0.0366431 0.0634677i
\(599\) −17.7128 + 10.2265i −0.723724 + 0.417842i −0.816122 0.577880i \(-0.803880\pi\)
0.0923976 + 0.995722i \(0.470547\pi\)
\(600\) 1.24372 1.20548i 0.0507745 0.0492133i
\(601\) −10.8743 6.27830i −0.443573 0.256097i 0.261539 0.965193i \(-0.415770\pi\)
−0.705112 + 0.709096i \(0.749103\pi\)
\(602\) −11.5299 19.9703i −0.469923 0.813930i
\(603\) 0.143990 4.61003i 0.00586372 0.187735i
\(604\) 23.3009i 0.948100i
\(605\) 9.96450i 0.405114i
\(606\) −8.30486 + 29.1651i −0.337362 + 1.18475i
\(607\) −8.27295 14.3292i −0.335789 0.581603i 0.647847 0.761770i \(-0.275669\pi\)
−0.983636 + 0.180167i \(0.942336\pi\)
\(608\) 4.47405 + 2.58309i 0.181447 + 0.104758i
\(609\) 11.1742 + 11.5287i 0.452802 + 0.467165i
\(610\) 0.573990 0.331394i 0.0232402 0.0134177i
\(611\) −2.49384 4.31946i −0.100890 0.174747i
\(612\) 3.95549 2.12189i 0.159891 0.0857725i
\(613\) 28.1131 + 16.2311i 1.13548 + 0.655568i 0.945307 0.326183i \(-0.105763\pi\)
0.190171 + 0.981751i \(0.439096\pi\)
\(614\) −5.00704 2.89082i −0.202068 0.116664i
\(615\) 10.9464 + 11.2936i 0.441400 + 0.455402i
\(616\) 3.56700i 0.143719i
\(617\) −0.546152 0.315321i −0.0219873 0.0126943i 0.488966 0.872303i \(-0.337374\pi\)
−0.510953 + 0.859608i \(0.670708\pi\)
\(618\) 0.183975 + 0.732136i 0.00740055 + 0.0294508i
\(619\) 45.8973i 1.84477i 0.386274 + 0.922384i \(0.373762\pi\)
−0.386274 + 0.922384i \(0.626238\pi\)
\(620\) −5.36424 + 1.49163i −0.215433 + 0.0599052i
\(621\) 12.3648 11.2577i 0.496184 0.451754i
\(622\) 0.448742 0.0179929
\(623\) −1.36626 + 2.36643i −0.0547379 + 0.0948089i
\(624\) −0.235071 0.935475i −0.00941035 0.0374490i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −8.73777 + 15.1343i −0.349232 + 0.604887i
\(627\) −2.49371 + 8.75742i −0.0995891 + 0.349738i
\(628\) −10.7418 −0.428645
\(629\) 3.12299 1.80306i 0.124522 0.0718927i
\(630\) −8.93850 5.53973i −0.356119 0.220708i
\(631\) 16.2083 9.35789i 0.645244 0.372532i −0.141388 0.989954i \(-0.545156\pi\)
0.786632 + 0.617423i \(0.211823\pi\)
\(632\) 0.106576 0.184595i 0.00423937 0.00734280i
\(633\) −10.7615 11.1029i −0.427732 0.441300i
\(634\) −0.647660 + 1.12178i −0.0257219 + 0.0445516i
\(635\) 18.8566 0.748300
\(636\) 6.07037 1.52539i 0.240706 0.0604857i
\(637\) 2.54994 + 1.47221i 0.101032 + 0.0583311i
\(638\) −2.33043 + 1.34548i −0.0922627 + 0.0532679i
\(639\) 33.6452 + 1.05088i 1.33098 + 0.0415720i
\(640\) −0.500000 0.866025i −0.0197642 0.0342327i
\(641\) 3.71167 + 6.42881i 0.146602 + 0.253923i 0.929970 0.367636i \(-0.119833\pi\)
−0.783367 + 0.621559i \(0.786500\pi\)
\(642\) 21.6838 + 22.3716i 0.855789 + 0.882936i
\(643\) 17.2741i 0.681222i −0.940204 0.340611i \(-0.889366\pi\)
0.940204 0.340611i \(-0.110634\pi\)
\(644\) −5.64031 + 9.76931i −0.222259 + 0.384965i
\(645\) 3.12052 10.9587i 0.122870 0.431497i
\(646\) 6.69421 3.86490i 0.263380 0.152062i
\(647\) −8.93872 −0.351418 −0.175709 0.984442i \(-0.556222\pi\)
−0.175709 + 0.984442i \(0.556222\pi\)
\(648\) 8.05987 4.00481i 0.316622 0.157324i
\(649\) 9.66257i 0.379289i
\(650\) −0.556888 −0.0218429
\(651\) 16.7204 + 29.3793i 0.655324 + 1.15147i
\(652\) 3.56174 0.139488
\(653\) 22.3040i 0.872823i 0.899747 + 0.436411i \(0.143751\pi\)
−0.899747 + 0.436411i \(0.856249\pi\)
\(654\) −12.5866 3.58409i −0.492176 0.140149i
\(655\) −0.821617 −0.0321032
\(656\) 7.86397 4.54027i 0.307037 0.177268i
\(657\) 18.1409 + 0.566612i 0.707743 + 0.0221056i
\(658\) −15.6975 + 27.1888i −0.611951 + 1.05993i
\(659\) 23.8067i 0.927377i −0.885998 0.463688i \(-0.846526\pi\)
0.885998 0.463688i \(-0.153474\pi\)
\(660\) 1.26560 1.22669i 0.0492634 0.0477488i
\(661\) −20.5693 35.6271i −0.800054 1.38573i −0.919580 0.392902i \(-0.871471\pi\)
0.119527 0.992831i \(-0.461862\pi\)
\(662\) −10.1085 17.5084i −0.392878 0.680485i
\(663\) −1.38802 0.395245i −0.0539064 0.0153500i
\(664\) 2.97241 1.71612i 0.115352 0.0665984i
\(665\) −15.6830 9.05457i −0.608160 0.351121i
\(666\) 6.37153 3.41796i 0.246892 0.132443i
\(667\) 8.51012 0.329513
\(668\) 5.75062 9.96036i 0.222498 0.385378i
\(669\) −10.0181 + 9.71009i −0.387323 + 0.375414i
\(670\) −0.768714 + 1.33145i −0.0296980 + 0.0514384i
\(671\) 0.584090 0.337225i 0.0225486 0.0130184i
\(672\) −4.35962 + 4.22558i −0.168176 + 0.163005i
\(673\) −40.8232 + 23.5693i −1.57362 + 0.908529i −0.577899 + 0.816109i \(0.696127\pi\)
−0.995720 + 0.0924207i \(0.970540\pi\)
\(674\) 11.8084 0.454842
\(675\) −1.10840 5.07656i −0.0426624 0.195397i
\(676\) 6.34494 10.9898i 0.244036 0.422683i
\(677\) 9.59632 + 16.6213i 0.368816 + 0.638809i 0.989381 0.145347i \(-0.0464298\pi\)
−0.620564 + 0.784155i \(0.713096\pi\)
\(678\) −8.10847 + 2.03753i −0.311404 + 0.0782511i
\(679\) 23.2741 40.3120i 0.893179 1.54703i
\(680\) −1.49623 −0.0573778
\(681\) −7.35460 29.2680i −0.281829 1.12155i
\(682\) −5.45863 + 1.51788i −0.209022 + 0.0581225i
\(683\) 28.8541i 1.10407i 0.833821 + 0.552035i \(0.186148\pi\)
−0.833821 + 0.552035i \(0.813852\pi\)
\(684\) 13.6575 7.32648i 0.522208 0.280135i
\(685\) 17.2797 + 9.97643i 0.660223 + 0.381180i
\(686\) 6.00365i 0.229220i
\(687\) 17.5386 16.9993i 0.669138 0.648564i
\(688\) −5.69715 3.28925i −0.217202 0.125402i
\(689\) −1.74280 1.00621i −0.0663955 0.0383335i
\(690\) −5.40592 + 1.35843i −0.205800 + 0.0517144i
\(691\) 20.3713 + 35.2841i 0.774959 + 1.34227i 0.934817 + 0.355129i \(0.115563\pi\)
−0.159858 + 0.987140i \(0.551104\pi\)
\(692\) −2.03876 + 1.17708i −0.0775021 + 0.0447459i
\(693\) −9.09579 5.63721i −0.345520 0.214140i
\(694\) 4.77321 + 2.75581i 0.181188 + 0.104609i
\(695\) 0.610446 + 1.05732i 0.0231555 + 0.0401065i
\(696\) 4.40515 + 1.25438i 0.166977 + 0.0475473i
\(697\) 13.5866i 0.514628i
\(698\) 21.0390i 0.796337i
\(699\) −3.98539 1.13486i −0.150741 0.0429242i
\(700\) 1.75266 + 3.03570i 0.0662443 + 0.114739i
\(701\) −6.09463 3.51874i −0.230191 0.132901i 0.380469 0.924794i \(-0.375763\pi\)
−0.610660 + 0.791893i \(0.709096\pi\)
\(702\) −2.75694 0.878978i −0.104054 0.0331749i
\(703\) 10.7831 6.22560i 0.406691 0.234803i
\(704\) −0.508798 0.881264i −0.0191761 0.0332139i
\(705\) −15.0451 + 3.78061i −0.566633 + 0.142386i
\(706\) −22.4278 12.9487i −0.844081 0.487330i
\(707\) −53.1485 30.6853i −1.99885 1.15404i
\(708\) −11.8097 + 11.4466i −0.443835 + 0.430189i
\(709\) 22.0251i 0.827169i 0.910466 + 0.413585i \(0.135723\pi\)
−0.910466 + 0.413585i \(0.864277\pi\)
\(710\) −9.71728 5.61027i −0.364683 0.210550i
\(711\) −0.302284 0.563497i −0.0113365 0.0211328i
\(712\) 0.779533i 0.0292142i
\(713\) 17.3502 + 4.47428i 0.649771 + 0.167563i
\(714\) 2.21389 + 8.81030i 0.0828529 + 0.329717i
\(715\) −0.566687 −0.0211929
\(716\) −1.49415 + 2.58794i −0.0558390 + 0.0967160i
\(717\) 18.5110 4.65153i 0.691305 0.173714i
\(718\) 4.55262 + 7.88537i 0.169902 + 0.294279i
\(719\) −18.1976 + 31.5191i −0.678656 + 1.17547i 0.296730 + 0.954961i \(0.404104\pi\)
−0.975386 + 0.220505i \(0.929230\pi\)
\(720\) −2.99854 0.0936563i −0.111749 0.00349037i
\(721\) −1.52776 −0.0568968
\(722\) 6.65927 3.84473i 0.247832 0.143086i
\(723\) −30.9940 + 30.0410i −1.15268 + 1.11724i
\(724\) −18.9344 + 10.9318i −0.703690 + 0.406276i
\(725\) 1.32221 2.29013i 0.0491056 0.0850534i
\(726\) −12.3930 + 12.0120i −0.459947 + 0.445806i
\(727\) 3.84543 6.66048i 0.142619 0.247024i −0.785863 0.618401i \(-0.787781\pi\)
0.928482 + 0.371377i \(0.121114\pi\)
\(728\) 1.95207 0.0723485
\(729\) 2.52543 26.8816i 0.0935346 0.995616i
\(730\) −5.23937 3.02495i −0.193918 0.111959i
\(731\) −8.52425 + 4.92148i −0.315281 + 0.182027i
\(732\) −1.10409 0.314394i −0.0408084 0.0116203i
\(733\) 2.30501 + 3.99239i 0.0851374 + 0.147462i 0.905450 0.424454i \(-0.139534\pi\)
−0.820312 + 0.571916i \(0.806200\pi\)
\(734\) −16.7657 29.0390i −0.618833 1.07185i
\(735\) 6.57587 6.37368i 0.242555 0.235097i
\(736\) 3.21814i 0.118622i
\(737\) −0.782240 + 1.35488i −0.0288142 + 0.0499076i
\(738\) 0.850449 27.2283i 0.0313055 1.00229i
\(739\) 2.74609 1.58546i 0.101017 0.0583220i −0.448641 0.893712i \(-0.648092\pi\)
0.549657 + 0.835390i \(0.314758\pi\)
\(740\) −2.41014 −0.0885984
\(741\) −4.79257 1.36470i −0.176059 0.0501336i
\(742\) 12.6671i 0.465025i
\(743\) −30.5226 −1.11977 −0.559883 0.828571i \(-0.689154\pi\)
−0.559883 + 0.828571i \(0.689154\pi\)
\(744\) 8.32162 + 4.87346i 0.305085 + 0.178670i
\(745\) −19.1844 −0.702862
\(746\) 23.3875i 0.856276i
\(747\) 0.321451 10.2917i 0.0117613 0.376554i
\(748\) −1.52256 −0.0556702
\(749\) −54.6052 + 31.5264i −1.99523 + 1.15195i
\(750\) −0.474351 + 1.66583i −0.0173209 + 0.0608275i
\(751\) 19.5846 33.9216i 0.714654 1.23782i −0.248439 0.968647i \(-0.579918\pi\)
0.963093 0.269169i \(-0.0867490\pi\)
\(752\) 8.95636i 0.326605i
\(753\) 15.9313 + 16.4366i 0.580567 + 0.598984i
\(754\) −0.736322 1.27535i −0.0268153 0.0464454i
\(755\) −11.6505 20.1792i −0.424003 0.734395i
\(756\) 3.88530 + 17.7950i 0.141307 + 0.647197i
\(757\) 37.5703 21.6912i 1.36552 0.788382i 0.375165 0.926958i \(-0.377586\pi\)
0.990352 + 0.138576i \(0.0442526\pi\)
\(758\) −10.0520 5.80353i −0.365105 0.210794i
\(759\) −5.50105 + 1.38233i −0.199675 + 0.0501754i
\(760\) −5.16618 −0.187397
\(761\) 20.1815 34.9553i 0.731577 1.26713i −0.224632 0.974444i \(-0.572118\pi\)
0.956209 0.292685i \(-0.0945488\pi\)
\(762\) −22.7311 23.4522i −0.823462 0.849583i
\(763\) 13.2427 22.9370i 0.479418 0.830376i
\(764\) 8.08961 4.67054i 0.292672 0.168974i
\(765\) −2.36461 + 3.81536i −0.0854926 + 0.137945i
\(766\) −1.98063 + 1.14352i −0.0715632 + 0.0413170i
\(767\) 5.28792 0.190936
\(768\) −0.474351 + 1.66583i −0.0171167 + 0.0601105i
\(769\) 7.20267 12.4754i 0.259735 0.449874i −0.706436 0.707777i \(-0.749698\pi\)
0.966171 + 0.257903i \(0.0830315\pi\)
\(770\) 1.78350 + 3.08911i 0.0642729 + 0.111324i
\(771\) −10.7744 42.8772i −0.388030 1.54419i
\(772\) 0.846405 1.46602i 0.0304628 0.0527631i
\(773\) 0.596764 0.0214641 0.0107321 0.999942i \(-0.496584\pi\)
0.0107321 + 0.999942i \(0.496584\pi\)
\(774\) −17.3912 + 9.32937i −0.625113 + 0.335337i
\(775\) 3.89975 3.97391i 0.140083 0.142747i