Properties

Label 930.2.o.e.161.16
Level $930$
Weight $2$
Character 930.161
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 161.16
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.6

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000i q^{2} +(1.20548 + 1.24372i) q^{3} -1.00000 q^{4} +(-0.866025 - 0.500000i) q^{5} +(-1.24372 + 1.20548i) q^{6} +(1.75266 + 3.03570i) q^{7} -1.00000i q^{8} +(-0.0936563 + 2.99854i) q^{9} +O(q^{10})\) \(q+1.00000i q^{2} +(1.20548 + 1.24372i) q^{3} -1.00000 q^{4} +(-0.866025 - 0.500000i) q^{5} +(-1.24372 + 1.20548i) q^{6} +(1.75266 + 3.03570i) q^{7} -1.00000i q^{8} +(-0.0936563 + 2.99854i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-0.508798 + 0.881264i) q^{11} +(-1.20548 - 1.24372i) 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} +(-2.99854 - 0.0936563i) q^{18} +(2.58309 + 4.47405i) q^{19} +(0.866025 + 0.500000i) q^{20} +(-1.66275 + 5.83927i) q^{21} +(-0.881264 - 0.508798i) q^{22} -3.21814 q^{23} +(1.24372 - 1.20548i) 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} +(0.0936563 - 2.99854i) 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} +(-5.83927 - 1.66275i) q^{42} +(-5.69715 + 3.28925i) q^{43} +(0.508798 - 0.881264i) q^{44} +(1.58038 - 2.54998i) q^{45} -3.21814i q^{46} +8.95636i q^{47} +(1.20548 + 1.24372i) q^{48} +(-2.64364 + 4.57892i) q^{49} +(-0.866025 + 0.500000i) q^{50} +(0.709739 - 2.49247i) 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} +(-2.45059 + 8.60599i) 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} +(-3.87939 - 4.00245i) q^{69} +3.50532 q^{70} +(9.71728 + 5.61027i) q^{71} +(2.99854 + 0.0936563i) q^{72} +(-5.23937 - 3.02495i) q^{73} +(1.20507 + 2.08724i) q^{74} +(-0.474351 + 1.66583i) 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} +(-8.98246 - 0.561664i) q^{81} +(4.54027 - 7.86397i) q^{82} +(-1.71612 + 2.97241i) q^{83} +(1.66275 - 5.83927i) q^{84} +1.49623i q^{85} +(-3.28925 - 5.69715i) q^{86} +(-3.18778 - 3.28890i) q^{87} +(0.881264 + 0.508798i) q^{88} +0.779533 q^{89} +(2.54998 + 1.58038i) q^{90} -1.95207i q^{91} +3.21814 q^{92} +(8.22835 + 5.02933i) q^{93} -8.95636 q^{94} -5.16618i q^{95} +(-1.24372 + 1.20548i) q^{96} +13.2793 q^{97} +(-4.57892 - 2.64364i) q^{98} +(-2.59485 - 1.60819i) 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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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
\(3\) 1.20548 + 1.24372i 0.695982 + 0.718059i
\(4\) −1.00000 −0.500000
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) −1.24372 + 1.20548i −0.507745 + 0.492133i
\(7\) 1.75266 + 3.03570i 0.662443 + 1.14739i 0.979972 + 0.199137i \(0.0638138\pi\)
−0.317528 + 0.948249i \(0.602853\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −0.0936563 + 2.99854i −0.0312188 + 0.999513i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) −0.508798 + 0.881264i −0.153408 + 0.265711i −0.932478 0.361226i \(-0.882358\pi\)
0.779070 + 0.626937i \(0.215692\pi\)
\(12\) −1.20548 1.24372i −0.347991 0.359030i
\(13\) −0.482279 0.278444i −0.133760 0.0772264i 0.431627 0.902052i \(-0.357940\pi\)
−0.565387 + 0.824826i \(0.691273\pi\)
\(14\) −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 \(-0.224744\pi\)
−0.942373 + 0.334565i \(0.891411\pi\)
\(18\) −2.99854 0.0936563i −0.706762 0.0220750i
\(19\) 2.58309 + 4.47405i 0.592602 + 1.02642i 0.993880 + 0.110461i \(0.0352326\pi\)
−0.401278 + 0.915956i \(0.631434\pi\)
\(20\) 0.866025 + 0.500000i 0.193649 + 0.111803i
\(21\) −1.66275 + 5.83927i −0.362843 + 1.27423i
\(22\) −0.881264 0.508798i −0.187886 0.108476i
\(23\) −3.21814 −0.671029 −0.335515 0.942035i \(-0.608910\pi\)
−0.335515 + 0.942035i \(0.608910\pi\)
\(24\) 1.24372 1.20548i 0.253872 0.246067i
\(25\) 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 \(-0.578961\pi\)
−0.245528 + 0.969389i \(0.578961\pi\)
\(30\) 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
\(36\) 0.0936563 2.99854i 0.0156094 0.499756i
\(37\) 2.08724 1.20507i 0.343140 0.198112i −0.318520 0.947916i \(-0.603186\pi\)
0.661660 + 0.749804i \(0.269852\pi\)
\(38\) −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 \(-0.584219\pi\)
−0.966642 + 0.256132i \(0.917552\pi\)
\(42\) −5.83927 1.66275i −0.901019 0.256568i
\(43\) −5.69715 + 3.28925i −0.868807 + 0.501606i −0.866952 0.498392i \(-0.833924\pi\)
−0.00185547 + 0.999998i \(0.500591\pi\)
\(44\) 0.508798 0.881264i 0.0767042 0.132856i
\(45\) 1.58038 2.54998i 0.235589 0.380129i
\(46\) 3.21814i 0.474489i
\(47\) 8.95636i 1.30642i 0.757177 + 0.653210i \(0.226578\pi\)
−0.757177 + 0.653210i \(0.773422\pi\)
\(48\) 1.20548 + 1.24372i 0.173995 + 0.179515i
\(49\) −2.64364 + 4.57892i −0.377663 + 0.654131i
\(50\) −0.866025 + 0.500000i −0.122474 + 0.0707107i
\(51\) 0.709739 2.49247i 0.0993833 0.349015i
\(52\) 0.482279 + 0.278444i 0.0668800 + 0.0386132i
\(53\) −1.80684 + 3.12954i −0.248189 + 0.429876i −0.963023 0.269418i \(-0.913169\pi\)
0.714834 + 0.699294i \(0.246502\pi\)
\(54\) −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
\(57\) −2.45059 + 8.60599i −0.324588 + 1.13989i
\(58\) 2.64442i 0.347229i
\(59\) 8.22333 4.74774i 1.07059 0.618103i 0.142245 0.989832i \(-0.454568\pi\)
0.928342 + 0.371728i \(0.121235\pi\)
\(60\) 0.422115 + 1.67983i 0.0544948 + 0.216865i
\(61\) 0.662787i 0.0848612i 0.999099 + 0.0424306i \(0.0135101\pi\)
−0.999099 + 0.0424306i \(0.986490\pi\)
\(62\) 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 −0.815241 0.579122i \(-0.803396\pi\)
0.909155 + 0.416459i \(0.136729\pi\)
\(68\) 0.748115 + 1.29577i 0.0907223 + 0.157136i
\(69\) −3.87939 4.00245i −0.467024 0.481839i
\(70\) 3.50532 0.418966
\(71\) 9.71728 + 5.61027i 1.15323 + 0.665817i 0.949672 0.313246i \(-0.101416\pi\)
0.203557 + 0.979063i \(0.434750\pi\)
\(72\) 2.99854 + 0.0936563i 0.353381 + 0.0110375i
\(73\) −5.23937 3.02495i −0.613222 0.354044i 0.161003 0.986954i \(-0.448527\pi\)
−0.774225 + 0.632910i \(0.781860\pi\)
\(74\) 1.20507 + 2.08724i 0.140086 + 0.242637i
\(75\) −0.474351 + 1.66583i −0.0547734 + 0.192354i
\(76\) −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 −0.489580 0.871959i \(-0.662850\pi\)
0.510348 + 0.859968i \(0.329516\pi\)
\(80\) −0.866025 0.500000i −0.0968246 0.0559017i
\(81\) −8.98246 0.561664i −0.998051 0.0624071i
\(82\) 4.54027 7.86397i 0.501389 0.868430i
\(83\) −1.71612 + 2.97241i −0.188369 + 0.326264i −0.944707 0.327917i \(-0.893653\pi\)
0.756338 + 0.654181i \(0.226987\pi\)
\(84\) 1.66275 5.83927i 0.181421 0.637117i
\(85\) 1.49623i 0.162289i
\(86\) −3.28925 5.69715i −0.354689 0.614339i
\(87\) −3.18778 3.28890i −0.341766 0.352608i
\(88\) 0.881264 + 0.508798i 0.0939431 + 0.0542381i
\(89\) 0.779533 0.0826303 0.0413152 0.999146i \(-0.486845\pi\)
0.0413152 + 0.999146i \(0.486845\pi\)
\(90\) 2.54998 + 1.58038i 0.268792 + 0.166586i
\(91\) 1.95207i 0.204633i
\(92\) 3.21814 0.335515
\(93\) 8.22835 + 5.02933i 0.853241 + 0.521518i
\(94\) −8.95636 −0.923778
\(95\) 5.16618i 0.530039i
\(96\) −1.24372 + 1.20548i −0.126936 + 0.123033i
\(97\) 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
\(99\) −2.59485 1.60819i −0.260792 0.161629i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 17.5078i 1.74209i −0.491200 0.871047i \(-0.663442\pi\)
0.491200 0.871047i \(-0.336558\pi\)
\(102\) 2.49247 + 0.709739i 0.246791 + 0.0702746i
\(103\) −0.217920 + 0.377449i −0.0214723 + 0.0371911i −0.876562 0.481289i \(-0.840169\pi\)
0.855090 + 0.518480i \(0.173502\pi\)
\(104\) −0.278444 + 0.482279i −0.0273037 + 0.0472913i
\(105\) 4.35962 4.22558i 0.425456 0.412374i
\(106\) −3.12954 1.80684i −0.303968 0.175496i
\(107\) 15.5778 8.99386i 1.50596 0.869469i 0.505988 0.862540i \(-0.331128\pi\)
0.999976 0.00692852i \(-0.00220543\pi\)
\(108\) 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
\(111\) 4.01488 + 1.14325i 0.381075 + 0.108513i
\(112\) 1.75266 + 3.03570i 0.165611 + 0.286846i
\(113\) −4.18028 2.41348i −0.393247 0.227041i 0.290319 0.956930i \(-0.406239\pi\)
−0.683566 + 0.729889i \(0.739572\pi\)
\(114\) −8.60599 2.45059i −0.806025 0.229518i
\(115\) 2.78699 + 1.60907i 0.259888 + 0.150047i
\(116\) 2.64442 0.245528
\(117\) 0.880093 1.42005i 0.0813646 0.131284i
\(118\) 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 0.450650 0.892701i \(-0.351192\pi\)
0.998426 + 0.0560764i \(0.0178590\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) −10.9587 3.12052i −0.964857 0.274747i
\(130\) −0.482279 + 0.278444i −0.0422987 + 0.0244211i
\(131\) 0.711541 0.410808i 0.0621676 0.0358925i −0.468594 0.883414i \(-0.655239\pi\)
0.530762 + 0.847521i \(0.321906\pi\)
\(132\) 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
\(135\) 5.07656 1.10840i 0.436921 0.0953960i
\(136\) −1.29577 + 0.748115i −0.111112 + 0.0641503i
\(137\) −9.97643 + 17.2797i −0.852344 + 1.47630i 0.0267437 + 0.999642i \(0.491486\pi\)
−0.879087 + 0.476660i \(0.841847\pi\)
\(138\) 4.00245 3.87939i 0.340712 0.330236i
\(139\) 1.22089i 0.103555i −0.998659 0.0517773i \(-0.983511\pi\)
0.998659 0.0517773i \(-0.0164886\pi\)
\(140\) 3.50532i 0.296254i
\(141\) −11.1392 + 10.7967i −0.938087 + 0.909244i
\(142\) −5.61027 + 9.71728i −0.470804 + 0.815456i
\(143\) 0.490765 0.283343i 0.0410398 0.0236944i
\(144\) −0.0936563 + 2.99854i −0.00780469 + 0.249878i
\(145\) 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 \(-0.378906\pi\)
0.989768 + 0.142683i \(0.0455728\pi\)
\(150\) −1.66583 0.474351i −0.136014 0.0387306i
\(151\) 23.3009i 1.89620i 0.317971 + 0.948100i \(0.396998\pi\)
−0.317971 + 0.948100i \(0.603002\pi\)
\(152\) 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
\(162\) 0.561664 8.98246i 0.0441285 0.705728i
\(163\) −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
\(165\) 1.69514 + 0.482698i 0.131967 + 0.0375780i
\(166\) −2.97241 1.71612i −0.230704 0.133197i
\(167\) 5.75062 + 9.96036i 0.444996 + 0.770756i 0.998052 0.0623883i \(-0.0198717\pi\)
−0.553056 + 0.833144i \(0.686538\pi\)
\(168\) 5.83927 + 1.66275i 0.450509 + 0.128284i
\(169\) −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 \(-0.361858\pi\)
−0.575496 + 0.817805i \(0.695191\pi\)
\(174\) 3.28890 3.18778i 0.249331 0.241665i
\(175\) −1.75266 + 3.03570i −0.132489 + 0.229477i
\(176\) −0.508798 + 0.881264i −0.0383521 + 0.0664278i
\(177\) 15.8179 + 4.50419i 1.18894 + 0.338556i
\(178\) 0.779533i 0.0584285i
\(179\) −1.49415 2.58794i −0.111678 0.193432i 0.804769 0.593588i \(-0.202289\pi\)
−0.916447 + 0.400156i \(0.868956\pi\)
\(180\) −1.58038 + 2.54998i −0.117794 + 0.190064i
\(181\) 18.9344 + 10.9318i 1.40738 + 0.812552i 0.995135 0.0985208i \(-0.0314111\pi\)
0.412246 + 0.911073i \(0.364744\pi\)
\(182\) 1.95207 0.144697
\(183\) −0.824318 + 0.798974i −0.0609354 + 0.0590618i
\(184\) 3.21814i 0.237245i
\(185\) −2.41014 −0.177197
\(186\) −5.02933 + 8.22835i −0.368769 + 0.603332i
\(187\) 1.52256 0.111340
\(188\) 8.95636i 0.653210i
\(189\) −17.3535 5.53271i −1.26228 0.402446i
\(190\) 5.16618 0.374794
\(191\) 8.08961 + 4.67054i 0.585343 + 0.337948i 0.763254 0.646099i \(-0.223600\pi\)
−0.177911 + 0.984047i \(0.556934\pi\)
\(192\) −1.20548 1.24372i −0.0869977 0.0897574i
\(193\) −0.846405 1.46602i −0.0609256 0.105526i 0.833954 0.551834i \(-0.186072\pi\)
−0.894879 + 0.446308i \(0.852739\pi\)
\(194\) 13.2793i 0.953400i
\(195\) −0.264160 + 0.927680i −0.0189169 + 0.0664326i
\(196\) 2.64364 4.57892i 0.188831 0.327065i
\(197\) −7.92946 + 13.7342i −0.564951 + 0.978524i 0.432103 + 0.901824i \(0.357772\pi\)
−0.997054 + 0.0766996i \(0.975562\pi\)
\(198\) 1.60819 2.59485i 0.114289 0.184408i
\(199\) −11.7826 6.80268i −0.835246 0.482229i 0.0203995 0.999792i \(-0.493506\pi\)
−0.855645 + 0.517562i \(0.826840\pi\)
\(200\) 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
\(204\) −0.709739 + 2.49247i −0.0496917 + 0.174508i
\(205\) 4.54027 + 7.86397i 0.317106 + 0.549244i
\(206\) −0.377449 0.217920i −0.0262981 0.0151832i
\(207\) 0.301399 9.64972i 0.0209487 0.670702i
\(208\) −0.482279 0.278444i −0.0334400 0.0193066i
\(209\) −5.25709 −0.363641
\(210\) 4.22558 + 4.35962i 0.291593 + 0.300843i
\(211\) −4.46360 7.73118i −0.307287 0.532236i 0.670481 0.741927i \(-0.266088\pi\)
−0.977768 + 0.209690i \(0.932754\pi\)
\(212\) 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
\(222\) −1.14325 + 4.01488i −0.0767300 + 0.269461i
\(223\) 6.97582 4.02749i 0.467136 0.269701i −0.247904 0.968785i \(-0.579742\pi\)
0.715040 + 0.699084i \(0.246408\pi\)
\(224\) −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 \(-0.137085\pi\)
0.0928007 + 0.995685i \(0.470418\pi\)
\(228\) 2.45059 8.60599i 0.162294 0.569945i
\(229\) −12.2125 + 7.05087i −0.807023 + 0.465935i −0.845921 0.533308i \(-0.820949\pi\)
0.0388982 + 0.999243i \(0.487615\pi\)
\(230\) −1.60907 + 2.78699i −0.106099 + 0.183769i
\(231\) −4.29993 4.43634i −0.282915 0.291889i
\(232\) 2.64442i 0.173615i
\(233\) 2.39244i 0.156734i 0.996925 + 0.0783669i \(0.0249706\pi\)
−0.996925 + 0.0783669i \(0.975029\pi\)
\(234\) 1.42005 + 0.880093i 0.0928318 + 0.0575335i
\(235\) 4.47818 7.75644i 0.292124 0.505974i
\(236\) −8.22333 + 4.74774i −0.535293 + 0.309052i
\(237\) 0.355075 + 0.101109i 0.0230646 + 0.00656774i
\(238\) 4.54210 + 2.62238i 0.294421 + 0.169984i
\(239\) 5.50979 9.54323i 0.356398 0.617300i −0.630958 0.775817i \(-0.717338\pi\)
0.987356 + 0.158517i \(0.0506712\pi\)
\(240\) −0.422115 1.67983i −0.0272474 0.108432i
\(241\) 21.5818 12.4602i 1.39020 0.802634i 0.396866 0.917877i \(-0.370098\pi\)
0.993337 + 0.115243i \(0.0367646\pi\)
\(242\) −8.62951 + 4.98225i −0.554726 + 0.320271i
\(243\) −10.1296 11.8487i −0.649813 0.760094i
\(244\) 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 \(-0.303615\pi\)
−0.995645 + 0.0932274i \(0.970282\pi\)
\(252\) 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
\(255\) −1.86088 + 1.80367i −0.116533 + 0.112950i
\(256\) 1.00000 0.0625000
\(257\) 22.1051 + 12.7624i 1.37888 + 0.796096i 0.992025 0.126044i \(-0.0402281\pi\)
0.386855 + 0.922141i \(0.373561\pi\)
\(258\) 3.12052 10.9587i 0.194275 0.682257i
\(259\) 7.31644 + 4.22415i 0.454622 + 0.262476i
\(260\) −0.278444 0.482279i −0.0172684 0.0299097i
\(261\) 0.247667 7.92939i 0.0153302 0.490817i
\(262\) 0.410808 + 0.711541i 0.0253798 + 0.0439591i
\(263\) 17.3755 1.07142 0.535709 0.844403i \(-0.320044\pi\)
0.535709 + 0.844403i \(0.320044\pi\)
\(264\) 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
\(267\) 0.939708 + 0.969517i 0.0575092 + 0.0593335i
\(268\) −0.768714 + 1.33145i −0.0469567 + 0.0813313i
\(269\) −5.43030 + 9.40555i −0.331091 + 0.573466i −0.982726 0.185066i \(-0.940750\pi\)
0.651635 + 0.758533i \(0.274083\pi\)
\(270\) 1.10840 + 5.07656i 0.0674551 + 0.308950i
\(271\) 0.444297i 0.0269891i 0.999909 + 0.0134945i \(0.00429558\pi\)
−0.999909 + 0.0134945i \(0.995704\pi\)
\(272\) −0.748115 1.29577i −0.0453611 0.0785678i
\(273\) 2.42782 2.35317i 0.146938 0.142421i
\(274\) −17.2797 9.97643i −1.04390 0.602698i
\(275\) −1.01760 −0.0613634
\(276\) 3.87939 + 4.00245i 0.233512 + 0.240919i
\(277\) 8.03697i 0.482895i 0.970414 + 0.241447i \(0.0776221\pi\)
−0.970414 + 0.241447i \(0.922378\pi\)
\(278\) 1.22089 0.0732242
\(279\) 3.66402 + 16.2965i 0.219359 + 0.975644i
\(280\) −3.50532 −0.209483
\(281\) 13.9273i 0.830831i −0.909632 0.415415i \(-0.863636\pi\)
0.909632 0.415415i \(-0.136364\pi\)
\(282\) −10.7967 11.1392i −0.642933 0.663328i
\(283\) −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
\(285\) 6.42526 6.22771i 0.380600 0.368898i
\(286\) 0.283343 + 0.490765i 0.0167544 + 0.0290195i
\(287\) 31.8302i 1.87888i
\(288\) −2.99854 0.0936563i −0.176691 0.00551875i
\(289\) 7.38065 12.7837i 0.434156 0.751980i
\(290\) −1.32221 + 2.29013i −0.0776428 + 0.134481i
\(291\) 16.0079 + 16.5157i 0.938400 + 0.968167i
\(292\) 5.23937 + 3.02495i 0.306611 + 0.177022i
\(293\) 19.0627 11.0058i 1.11365 0.642968i 0.173880 0.984767i \(-0.444370\pi\)
0.939773 + 0.341799i \(0.111036\pi\)
\(294\) −2.23184 8.88171i −0.130163 0.517992i
\(295\) −9.49548 −0.552848
\(296\) −1.20507 2.08724i −0.0700431 0.121318i
\(297\) −1.12790 5.16589i −0.0654477 0.299755i
\(298\) 9.59220 + 16.6142i 0.555661 + 0.962433i
\(299\) 1.55204 + 0.896072i 0.0897569 + 0.0518212i
\(300\) 0.474351 1.66583i 0.0273867 0.0961768i
\(301\) −19.9703 11.5299i −1.15107 0.664571i
\(302\) −23.3009 −1.34082
\(303\) 21.7748 21.1053i 1.25093 1.21247i
\(304\) 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 0.771663 0.636031i \(-0.219425\pi\)
−0.936651 + 0.350264i \(0.886092\pi\)
\(308\) 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 −0.00704303 0.999975i \(-0.502242\pi\)
0.862482 + 0.506087i \(0.168909\pi\)
\(314\) 10.7418i 0.606196i
\(315\) 10.5108 + 0.328295i 0.592219 + 0.0184974i
\(316\) −0.184595 + 0.106576i −0.0103843 + 0.00599537i
\(317\) −1.12178 + 0.647660i −0.0630055 + 0.0363762i −0.531172 0.847264i \(-0.678248\pi\)
0.468166 + 0.883640i \(0.344915\pi\)
\(318\) −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
\(321\) 29.9645 + 8.53249i 1.67245 + 0.476237i
\(322\) 9.76931 5.64031i 0.544422 0.314322i
\(323\) 3.86490 6.69421i 0.215049 0.372476i
\(324\) 8.98246 + 0.561664i 0.499025 + 0.0312036i
\(325\) 0.556888i 0.0308906i
\(326\) 3.56174i 0.197266i
\(327\) 9.10829 + 9.39723i 0.503690 + 0.519668i
\(328\) −4.54027 + 7.86397i −0.250694 + 0.434215i
\(329\) −27.1888 + 15.6975i −1.49897 + 0.865429i
\(330\) −0.482698 + 1.69514i −0.0265717 + 0.0933145i
\(331\) −17.5084 10.1085i −0.962351 0.555614i −0.0654553 0.997856i \(-0.520850\pi\)
−0.896896 + 0.442242i \(0.854183\pi\)
\(332\) 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
\(336\) −1.66275 + 5.83927i −0.0907106 + 0.318558i
\(337\) 11.8084i 0.643243i 0.946868 + 0.321622i \(0.104228\pi\)
−0.946868 + 0.321622i \(0.895772\pi\)
\(338\) 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 \(-0.213931\pi\)
−0.930466 + 0.366379i \(0.880598\pi\)
\(348\) 3.18778 + 3.28890i 0.170883 + 0.176304i
\(349\) −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
\(351\) 2.82707 0.617255i 0.150898 0.0329466i
\(352\) −0.881264 0.508798i −0.0469715 0.0271190i
\(353\) 12.9487 + 22.4278i 0.689189 + 1.19371i 0.972101 + 0.234564i \(0.0753664\pi\)
−0.282912 + 0.959146i \(0.591300\pi\)
\(354\) −4.50419 + 15.8179i −0.239395 + 0.840710i
\(355\) −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 \(-0.410572\pi\)
−0.693439 + 0.720515i \(0.743905\pi\)
\(360\) −2.54998 1.58038i −0.134396 0.0832932i
\(361\) −3.84473 + 6.65927i −0.202354 + 0.350488i
\(362\) −10.9318 + 18.9344i −0.574561 + 0.995169i
\(363\) −4.72667 + 16.5992i −0.248086 + 0.871230i
\(364\) 1.95207i 0.102316i
\(365\) 3.02495 + 5.23937i 0.158333 + 0.274241i
\(366\) −0.798974 0.824318i −0.0417630 0.0430878i
\(367\) −29.0390 16.7657i −1.51582 0.875162i −0.999828 0.0185717i \(-0.994088\pi\)
−0.515997 0.856590i \(-0.672579\pi\)
\(368\) −3.21814 −0.167757
\(369\) 14.3507 23.1552i 0.747066 1.20541i
\(370\) 2.41014i 0.125297i
\(371\) −12.6671 −0.657645
\(372\) −8.22835 5.02933i −0.426620 0.260759i
\(373\) −23.3875 −1.21096 −0.605479 0.795862i \(-0.707018\pi\)
−0.605479 + 0.795862i \(0.707018\pi\)
\(374\) 1.52256i 0.0787296i
\(375\) 1.24372 1.20548i 0.0642252 0.0622505i
\(376\) 8.95636 0.461889
\(377\) 1.27535 + 0.736322i 0.0656837 + 0.0379225i
\(378\) 5.53271 17.3535i 0.284572 0.892570i
\(379\) −5.80353 10.0520i −0.298107 0.516337i 0.677596 0.735435i \(-0.263022\pi\)
−0.975703 + 0.219098i \(0.929689\pi\)
\(380\) 5.16618i 0.265020i
\(381\) 31.4118 + 8.94463i 1.60928 + 0.458247i
\(382\) −4.67054 + 8.08961i −0.238965 + 0.413900i
\(383\) −1.14352 + 1.98063i −0.0584311 + 0.101206i −0.893761 0.448543i \(-0.851943\pi\)
0.835330 + 0.549749i \(0.185276\pi\)
\(384\) 1.24372 1.20548i 0.0634681 0.0615167i
\(385\) 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 \(-0.189403\pi\)
−0.899501 + 0.436918i \(0.856070\pi\)
\(390\) −0.927680 0.264160i −0.0469749 0.0133763i
\(391\) 2.40754 + 4.16998i 0.121755 + 0.210885i
\(392\) 4.57892 + 2.64364i 0.231270 + 0.133524i
\(393\) 1.36867 + 0.389735i 0.0690405 + 0.0196595i
\(394\) −13.7342 7.92946i −0.691921 0.399481i
\(395\) −0.213152 −0.0107248
\(396\) 2.59485 + 1.60819i 0.130396 + 0.0808144i
\(397\) −2.67976 4.64148i −0.134493 0.232949i 0.790910 0.611932i \(-0.209607\pi\)
−0.925404 + 0.378983i \(0.876274\pi\)
\(398\) 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 \(-0.595050\pi\)
−0.294192 + 0.955746i \(0.595050\pi\)
\(402\) 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
\(408\) −2.49247 0.709739i −0.123395 0.0351373i
\(409\) −0.573155 + 0.330911i −0.0283407 + 0.0163625i −0.514103 0.857728i \(-0.671875\pi\)
0.485763 + 0.874091i \(0.338542\pi\)
\(410\) −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
\(414\) 9.64972 + 0.301399i 0.474258 + 0.0148130i
\(415\) 2.97241 1.71612i 0.145910 0.0842411i
\(416\) 0.278444 0.482279i 0.0136518 0.0236457i
\(417\) 1.51844 1.47176i 0.0743584 0.0720722i
\(418\) 5.25709i 0.257133i
\(419\) 4.45152i 0.217471i −0.994071 0.108736i \(-0.965320\pi\)
0.994071 0.108736i \(-0.0346802\pi\)
\(420\) −4.35962 + 4.22558i −0.212728 + 0.206187i
\(421\) 5.24985 9.09301i 0.255862 0.443166i −0.709267 0.704940i \(-0.750974\pi\)
0.965129 + 0.261774i \(0.0843073\pi\)
\(422\) 7.73118 4.46360i 0.376348 0.217285i
\(423\) −26.8560 0.838820i −1.30578 0.0407848i
\(424\) 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
\(429\) 0.944004 + 0.268809i 0.0455769 + 0.0129782i
\(430\) 6.57850i 0.317244i
\(431\) −10.1716 + 5.87257i −0.489948 + 0.282872i −0.724553 0.689219i \(-0.757954\pi\)
0.234605 + 0.972091i \(0.424620\pi\)
\(432\) −3.84223 + 3.49818i −0.184859 + 0.168306i
\(433\) 0.986441i 0.0474053i −0.999719 0.0237027i \(-0.992455\pi\)
0.999719 0.0237027i \(-0.00754550\pi\)
\(434\) −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 −0.883501 0.468429i \(-0.844820\pi\)
0.847422 + 0.530920i \(0.178153\pi\)
\(440\) −0.508798 0.881264i −0.0242560 0.0420126i
\(441\) −13.4825 8.35589i −0.642022 0.397900i
\(442\) −0.833232 −0.0396328
\(443\) −32.6594 18.8559i −1.55169 0.895871i −0.998004 0.0631476i \(-0.979886\pi\)
−0.553690 0.832723i \(-0.686781\pi\)
\(444\) −4.01488 1.14325i −0.190538 0.0542563i
\(445\) −0.675095 0.389767i −0.0320026 0.0184767i
\(446\) 4.02749 + 6.97582i 0.190707 + 0.330315i
\(447\) 31.9579 + 9.10014i 1.51156 + 0.430422i
\(448\) −1.75266 3.03570i −0.0828054 0.143423i
\(449\) −19.1329 −0.902938 −0.451469 0.892287i \(-0.649100\pi\)
−0.451469 + 0.892287i \(0.649100\pi\)
\(450\) −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
\(453\) −28.9797 + 28.0887i −1.36158 + 1.31972i
\(454\) −8.71161 + 15.0890i −0.408856 + 0.708160i
\(455\) −0.976035 + 1.69054i −0.0457572 + 0.0792538i
\(456\) 8.60599 + 2.45059i 0.403012 + 0.114759i
\(457\) 33.8765i 1.58468i 0.610082 + 0.792338i \(0.291136\pi\)
−0.610082 + 0.792338i \(0.708864\pi\)
\(458\) −7.05087 12.2125i −0.329466 0.570651i
\(459\) 7.40728 + 2.36161i 0.345742 + 0.110231i
\(460\) −2.78699 1.60907i −0.129944 0.0750233i
\(461\) 20.2187 0.941678 0.470839 0.882219i \(-0.343951\pi\)
0.470839 + 0.882219i \(0.343951\pi\)
\(462\) 4.43634 4.29993i 0.206397 0.200051i
\(463\) 4.75152i 0.220822i 0.993886 + 0.110411i \(0.0352167\pi\)
−0.993886 + 0.110411i \(0.964783\pi\)
\(464\) −2.64442 −0.122764
\(465\) −4.61130 8.46971i −0.213844 0.392773i
\(466\) −2.39244 −0.110828
\(467\) 4.46882i 0.206792i −0.994640 0.103396i \(-0.967029\pi\)
0.994640 0.103396i \(-0.0329709\pi\)
\(468\) −0.880093 + 1.42005i −0.0406823 + 0.0656420i
\(469\) 5.38918 0.248849
\(470\) 7.75644 + 4.47818i 0.357778 + 0.206563i
\(471\) 12.9490 + 13.3598i 0.596658 + 0.615585i
\(472\) −4.74774 8.22333i −0.218533 0.378509i
\(473\) 6.69426i 0.307802i
\(474\) −0.101109 + 0.355075i −0.00464409 + 0.0163092i
\(475\) −2.58309 + 4.47405i −0.118520 + 0.205283i
\(476\) −2.62238 + 4.54210i −0.120197 + 0.208187i
\(477\) −9.21483 5.71099i −0.421918 0.261488i
\(478\) 9.54323 + 5.50979i 0.436497 + 0.252012i
\(479\) 7.32007 4.22624i 0.334463 0.193102i −0.323358 0.946277i \(-0.604812\pi\)
0.657821 + 0.753175i \(0.271478\pi\)
\(480\) 1.67983 0.422115i 0.0766733 0.0192668i
\(481\) −1.34217 −0.0611979
\(482\) 12.4602 + 21.5818i 0.567548 + 0.983022i
\(483\) 5.35098 18.7916i 0.243478 0.855048i
\(484\) −4.98225 8.62951i −0.226466 0.392250i
\(485\) −11.5002 6.63966i −0.522198 0.301491i
\(486\) 11.8487 10.1296i 0.537468 0.459487i
\(487\) −29.2380 16.8806i −1.32490 0.764931i −0.340394 0.940283i \(-0.610560\pi\)
−0.984506 + 0.175352i \(0.943894\pi\)
\(488\) 0.662787 0.0300030
\(489\) −4.29359 4.42979i −0.194163 0.200322i
\(490\) 2.64364 + 4.57892i 0.119427 + 0.206854i
\(491\) −3.86335 + 6.69152i −0.174351 + 0.301984i −0.939936 0.341350i \(-0.889116\pi\)
0.765586 + 0.643334i \(0.222449\pi\)
\(492\) 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 0.293742 0.955885i \(-0.405099\pi\)
0.974691 + 0.223554i \(0.0717660\pi\)
\(500\) 1.00000i 0.0447214i
\(501\) −5.45563 + 19.1591i −0.243739 + 0.855966i
\(502\) 11.4452 6.60787i 0.510823 0.294924i
\(503\) −25.7137 + 14.8458i −1.14652 + 0.661942i −0.948036 0.318162i \(-0.896934\pi\)
−0.198482 + 0.980105i \(0.563601\pi\)
\(504\) 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
\(507\) 6.01946 21.1392i 0.267334 0.938824i
\(508\) −16.3303 + 9.42828i −0.724538 + 0.418312i
\(509\) 13.1355 22.7513i 0.582219 1.00843i −0.412997 0.910733i \(-0.635518\pi\)
0.995216 0.0977008i \(-0.0311488\pi\)
\(510\) −1.80367 1.86088i −0.0798678 0.0824014i
\(511\) 21.2069i 0.938137i
\(512\) 1.00000i 0.0441942i
\(513\) −25.5759 8.15418i −1.12920 0.360016i
\(514\) −12.7624 + 22.1051i −0.562925 + 0.975015i
\(515\) 0.377449 0.217920i 0.0166324 0.00960271i
\(516\) 10.9587 + 3.12052i 0.482428 + 0.137373i
\(517\) −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 \(-0.985614\pi\)
−0.460364 + 0.887730i \(0.652281\pi\)
\(522\) 7.92939 + 0.247667i 0.347060 + 0.0108401i
\(523\) 7.33956i 0.320937i −0.987041 0.160468i \(-0.948700\pi\)
0.987041 0.160468i \(-0.0513004\pi\)
\(524\) −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
\(534\) −0.969517 + 0.939708i −0.0419551 + 0.0406651i
\(535\) −17.9877 −0.777677
\(536\) −1.33145 0.768714i −0.0575099 0.0332034i
\(537\) 1.41750 4.97800i 0.0611698 0.214817i
\(538\) −9.40555 5.43030i −0.405502 0.234117i
\(539\) −2.69016 4.65949i −0.115873 0.200698i
\(540\) −5.07656 + 1.10840i −0.218460 + 0.0476980i
\(541\) −13.7846 23.8755i −0.592644 1.02649i −0.993875 0.110513i \(-0.964751\pi\)
0.401231 0.915977i \(-0.368583\pi\)
\(542\) −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
\(546\) 2.35317 + 2.42782i 0.100707 + 0.103901i
\(547\) 17.8437 30.9062i 0.762941 1.32145i −0.178387 0.983960i \(-0.557088\pi\)
0.941328 0.337493i \(-0.109579\pi\)
\(548\) 9.97643 17.2797i 0.426172 0.738151i
\(549\) −1.98739 0.0620742i −0.0848198 0.00264926i
\(550\) 1.01760i 0.0433905i
\(551\) −6.83078 11.8313i −0.291001 0.504028i
\(552\) −4.00245 + 3.87939i −0.170356 + 0.165118i
\(553\) 0.647065 + 0.373583i 0.0275160 + 0.0158864i
\(554\) −8.03697 −0.341458
\(555\) −2.90536 2.99752i −0.123326 0.127238i
\(556\) 1.22089i 0.0517773i
\(557\) 7.54761 0.319803 0.159901 0.987133i \(-0.448882\pi\)
0.159901 + 0.987133i \(0.448882\pi\)
\(558\) −16.2965 + 3.66402i −0.689885 + 0.155110i
\(559\) 3.66349 0.154949
\(560\) 3.50532i 0.148127i
\(561\) 1.83541 + 1.89363i 0.0774910 + 0.0799491i
\(562\) 13.9273 0.587486
\(563\) 14.7599 + 8.52162i 0.622054 + 0.359143i 0.777668 0.628675i \(-0.216402\pi\)
−0.155614 + 0.987818i \(0.549736\pi\)
\(564\) 11.1392 10.7967i 0.469043 0.454622i
\(565\) 2.41348 + 4.18028i 0.101536 + 0.175866i
\(566\) 28.1351i 1.18261i
\(567\) −14.0382 28.2524i −0.589547 1.18649i
\(568\) 5.61027 9.71728i 0.235402 0.407728i
\(569\) 16.3440 28.3087i 0.685178 1.18676i −0.288203 0.957569i \(-0.593058\pi\)
0.973381 0.229194i \(-0.0736090\pi\)
\(570\) 6.22771 + 6.42526i 0.260850 + 0.269125i
\(571\) −36.0942 20.8390i −1.51049 0.872084i −0.999925 0.0122468i \(-0.996102\pi\)
−0.510569 0.859837i \(-0.670565\pi\)
\(572\) −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
\(576\) 0.0936563 2.99854i 0.00390235 0.124939i
\(577\) −18.9525 32.8266i −0.789002 1.36659i −0.926579 0.376100i \(-0.877265\pi\)
0.137577 0.990491i \(-0.456069\pi\)
\(578\) 12.7837 + 7.38065i 0.531730 + 0.306994i
\(579\) 0.802986 2.81993i 0.0333710 0.117192i
\(580\) −2.29013 1.32221i −0.0950926 0.0549018i
\(581\) −12.0311 −0.499135
\(582\) −16.5157 + 16.0079i −0.684598 + 0.663549i
\(583\) −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 \(-0.680532\pi\)
−0.537237 + 0.843431i \(0.680532\pi\)
\(588\) 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 \(0.890281\pi\)
\(594\) 5.16589 1.12790i 0.211959 0.0462785i
\(595\) −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 \(-0.196120\pi\)
−0.0923976 + 0.995722i \(0.529453\pi\)
\(600\) 1.66583 + 0.474351i 0.0680072 + 0.0193653i
\(601\) −10.8743 + 6.27830i −0.443573 + 0.256097i −0.705112 0.709096i \(-0.749103\pi\)
0.261539 + 0.965193i \(0.415770\pi\)
\(602\) 11.5299 19.9703i 0.469923 0.813930i
\(603\) 3.92041 + 2.42972i 0.159651 + 0.0989457i
\(604\) 23.3009i 0.948100i
\(605\) 9.96450i 0.405114i
\(606\) 21.1053 + 21.7748i 0.857343 + 0.884539i
\(607\) −8.27295 + 14.3292i −0.335789 + 0.581603i −0.983636 0.180167i \(-0.942336\pi\)
0.647847 + 0.761770i \(0.275669\pi\)
\(608\) −4.47405 + 2.58309i −0.181447 + 0.104758i
\(609\) 4.39702 15.4415i 0.178176 0.625720i
\(610\) 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 0.190171 0.981751i \(-0.439096\pi\)
0.945307 + 0.326183i \(0.105763\pi\)
\(614\) 5.00704 2.89082i 0.202068 0.116664i
\(615\) −4.30736 + 15.1266i −0.173690 + 0.609964i
\(616\) 3.56700i 0.143719i
\(617\) 0.546152 0.315321i 0.0219873 0.0126943i −0.488966 0.872303i \(-0.662626\pi\)
0.510953 + 0.859608i \(0.329292\pi\)
\(618\) −0.183975 0.732136i −0.00740055 0.0294508i
\(619\) 45.8973i 1.84477i −0.386274 0.922384i \(-0.626238\pi\)
0.386274 0.922384i \(-0.373762\pi\)
\(620\) 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
\(627\) −6.33730 6.53832i −0.253087 0.261116i
\(628\) −10.7418 −0.428645
\(629\) −3.12299 1.80306i −0.124522 0.0718927i
\(630\) −0.328295 + 10.5108i −0.0130796 + 0.418762i
\(631\) 16.2083 + 9.35789i 0.645244 + 0.372532i 0.786632 0.617423i \(-0.211823\pi\)
−0.141388 + 0.989954i \(0.545156\pi\)
\(632\) −0.106576 0.184595i −0.00423937 0.00734280i
\(633\) 4.23463 14.8712i 0.168311 0.591077i
\(634\) −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
\(639\) −17.7327 + 28.6122i −0.701495 + 1.13188i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) −3.71167 + 6.42881i −0.146602 + 0.253923i −0.929970 0.367636i \(-0.880167\pi\)
0.783367 + 0.621559i \(0.213500\pi\)
\(642\) −8.53249 + 29.9645i −0.336751 + 1.18260i
\(643\) 17.2741i 0.681222i 0.940204 + 0.340611i \(0.110634\pi\)
−0.940204 + 0.340611i \(0.889366\pi\)
\(644\) 5.64031 + 9.76931i 0.222259 + 0.384965i
\(645\) 7.93022 + 8.18178i 0.312252 + 0.322157i
\(646\) 6.69421 + 3.86490i 0.263380 + 0.152062i
\(647\) 8.93872 0.351418 0.175709 0.984442i \(-0.443778\pi\)
0.175709 + 0.984442i \(0.443778\pi\)
\(648\) −0.561664 + 8.98246i −0.0220642 + 0.352864i
\(649\) 9.66257i 0.379289i
\(650\) 0.556888 0.0218429
\(651\) −0.846021 + 33.7935i −0.0331582 + 1.32447i
\(652\) 3.56174 0.139488
\(653\) 22.3040i 0.872823i 0.899747 + 0.436411i \(0.143751\pi\)
−0.899747 + 0.436411i \(0.856249\pi\)
\(654\) −9.39723 + 9.10829i −0.367461 + 0.356163i
\(655\) −0.821617 −0.0321032
\(656\) −7.86397 4.54027i −0.307037 0.177268i
\(657\) 9.56114 15.4272i 0.373016 0.601871i
\(658\) −15.6975 27.1888i −0.611951 1.05993i
\(659\) 23.8067i 0.927377i −0.885998 0.463688i \(-0.846526\pi\)
0.885998 0.463688i \(-0.153474\pi\)
\(660\) −1.69514 0.482698i −0.0659833 0.0187890i
\(661\) −20.5693 + 35.6271i −0.800054 + 1.38573i 0.119527 + 0.992831i \(0.461862\pi\)
−0.919580 + 0.392902i \(0.871471\pi\)
\(662\) 10.1085 17.5084i 0.392878 0.680485i
\(663\) −1.03630 + 1.00444i −0.0402467 + 0.0390093i
\(664\) 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
\(669\) 13.4182 + 3.82089i 0.518779 + 0.147724i
\(670\) −0.768714 1.33145i −0.0296980 0.0514384i
\(671\) −0.584090 0.337225i −0.0225486 0.0130184i
\(672\) −5.83927 1.66275i −0.225255 0.0641421i
\(673\) −40.8232 23.5693i −1.57362 0.908529i −0.995720 0.0924207i \(-0.970540\pi\)
−0.577899 0.816109i \(-0.696127\pi\)
\(674\) −11.8084 −0.454842
\(675\) −4.95063 1.57838i −0.190550 0.0607517i
\(676\) 6.34494 + 10.9898i 0.244036 + 0.422683i
\(677\) −9.59632 + 16.6213i −0.368816 + 0.638809i −0.989381 0.145347i \(-0.953570\pi\)
0.620564 + 0.784155i \(0.286904\pi\)
\(678\) 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
\(687\) −23.4911 6.68918i −0.896242 0.255208i
\(688\) −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 −0.159858 0.987140i \(-0.551104\pi\)
0.934817 0.355129i \(-0.115563\pi\)
\(692\) 2.03876 + 1.17708i 0.0775021 + 0.0447459i
\(693\) 0.334072 10.6958i 0.0126904 0.406299i
\(694\) 4.77321 2.75581i 0.181188 0.104609i
\(695\) −0.610446 + 1.05732i −0.0231555 + 0.0401065i
\(696\) −3.28890 + 3.18778i −0.124666 + 0.120833i
\(697\) 13.5866i 0.514628i
\(698\) 21.0390i 0.796337i
\(699\) −2.97551 + 2.88403i −0.112544 + 0.109084i
\(700\) 1.75266 3.03570i 0.0662443 0.114739i
\(701\) 6.09463 3.51874i 0.230191 0.132901i −0.380469 0.924794i \(-0.624237\pi\)
0.610660 + 0.791893i \(0.290904\pi\)
\(702\) 0.617255 + 2.82707i 0.0232968 + 0.106701i
\(703\) 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
\(708\) −15.8179 4.50419i −0.594472 0.169278i
\(709\) 22.0251i 0.827169i −0.910466 0.413585i \(-0.864277\pi\)
0.910466 0.413585i \(-0.135723\pi\)
\(710\) 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 0.975386 + 0.220505i \(0.0707704\pi\)
−0.296730 + 0.954961i \(0.595896\pi\)
\(720\) 1.58038 2.54998i 0.0588972 0.0950322i
\(721\) −1.52776 −0.0568968
\(722\) −6.65927 3.84473i −0.247832 0.143086i
\(723\) 41.5133 + 11.8211i 1.54389 + 0.439630i
\(724\) −18.9344 10.9318i −0.703690 0.406276i
\(725\) −1.32221 2.29013i −0.0491056 0.0850534i
\(726\) −16.5992 4.72667i −0.616053 0.175423i
\(727\) 3.84543 + 6.66048i 0.142619 + 0.247024i 0.928482 0.371377i \(-0.121114\pi\)
−0.785863 + 0.618401i \(0.787781\pi\)
\(728\) −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
\(732\) 0.824318 0.798974i 0.0304677 0.0295309i
\(733\) 2.30501 3.99239i 0.0851374 0.147462i −0.820312 0.571916i \(-0.806200\pi\)
0.905450 + 0.424454i \(0.139534\pi\)
\(734\) 16.7657 29.0390i 0.618833 1.07185i
\(735\) 8.80770 + 2.50803i 0.324877 + 0.0925099i
\(736\) 3.21814i 0.118622i
\(737\) 0.782240 + 1.35488i 0.0288142 + 0.0499076i
\(738\) 23.1552 + 14.3507i 0.852354 + 0.528255i
\(739\) 2.74609 + 1.58546i 0.101017 + 0.0583220i 0.549657 0.835390i \(-0.314758\pi\)
−0.448641 + 0.893712i \(0.648092\pi\)
\(740\) 2.41014 0.0885984
\(741\) 3.57815 3.46813i 0.131447 0.127405i
\(742\) 12.6671i 0.465025i
\(743\) 30.5226 1.11977 0.559883 0.828571i \(-0.310846\pi\)
0.559883 + 0.828571i \(0.310846\pi\)
\(744\) 5.02933 8.22835i 0.184384 0.301666i
\(745\) −19.1844 −0.702862
\(746\) 23.3875i 0.856276i
\(747\) −8.75216 5.42424i −0.320225 0.198463i
\(748\) −1.52256 −0.0556702
\(749\) 54.6052 + 31.5264i 1.99523 + 1.15195i
\(750\) 1.20548 + 1.24372i 0.0440178 + 0.0454141i
\(751\) 19.5846 + 33.9216i 0.714654 + 1.23782i 0.963093 + 0.269169i \(0.0867490\pi\)
−0.248439 + 0.968647i \(0.579918\pi\)
\(752\) 8.95636i 0.326605i
\(753\) 6.26890 22.0152i 0.228452 0.802278i
\(754\) −0.736322 + 1.27535i −0.0268153 + 0.0464454i
\(755\) 11.6505 20.1792i 0.424003 0.734395i
\(756\) 17.3535 + 5.53271i 0.631142 + 0.201223i
\(757\) 37.5703 + 21.6912i 1.36552 + 0.788382i 0.990352 0.138576i \(-0.0442526\pi\)
0.375165 + 0.926958i \(0.377586\pi\)
\(758\) 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 −0.956209 0.292685i \(-0.905451\pi\)
0.224632 0.974444i \(-0.427882\pi\)
\(762\) −8.94463 + 31.4118i −0.324030 + 1.13793i
\(763\) 13.2427 + 22.9370i 0.479418 + 0.830376i
\(764\) −8.08961 4.67054i −0.292672 0.168974i
\(765\) −4.48650 0.140131i −0.162210 0.00506646i
\(766\) −1.98063 1.14352i −0.0715632 0.0413170i
\(767\) −5.28792 −0.190936
\(768\) 1.20548 + 1.24372i 0.0434989 + 0.0448787i
\(769\) 7.20267 + 12.4754i 0.259735 + 0.449874i 0.966171 0.257903i \(-0.0830315\pi\)
−0.706436 + 0.707777i \(0.749698\pi\)
\(770\) −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 \(-0.503416\pi\)
−0.0107321 + 0.999942i \(0.503416\pi\)
\(774\) 17.3912 9.32937i 0.625113 0.335337i
\(775\) 3.89975 + 3.97391i 0.140083 + 0.142747i
\(776\)