Properties

Label 280.2.ba.b.19.4
Level $280$
Weight $2$
Character 280.19
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.4
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.36769 + 0.359747i) q^{2} +(-1.46528 - 2.53794i) q^{3} +(1.74116 - 0.984045i) q^{4} +(-1.36405 + 1.77183i) q^{5} +(2.91706 + 2.94399i) q^{6} +(1.45426 + 2.21023i) q^{7} +(-2.02737 + 1.97225i) q^{8} +(-2.79408 + 4.83948i) q^{9} +O(q^{10})\) \(q+(-1.36769 + 0.359747i) q^{2} +(-1.46528 - 2.53794i) q^{3} +(1.74116 - 0.984045i) q^{4} +(-1.36405 + 1.77183i) q^{5} +(2.91706 + 2.94399i) q^{6} +(1.45426 + 2.21023i) q^{7} +(-2.02737 + 1.97225i) q^{8} +(-2.79408 + 4.83948i) q^{9} +(1.22819 - 2.91403i) q^{10} +(-1.55174 - 2.68769i) q^{11} +(-5.04873 - 2.97706i) q^{12} +1.62644i q^{13} +(-2.78410 - 2.49975i) q^{14} +(6.49549 + 0.865643i) q^{15} +(2.06331 - 3.42677i) q^{16} +(2.52573 + 4.37469i) q^{17} +(2.08045 - 7.62408i) q^{18} +(6.55731 + 3.78587i) q^{19} +(-0.631472 + 4.42733i) q^{20} +(3.47853 - 6.92942i) q^{21} +(3.08919 + 3.11770i) q^{22} +(1.55633 - 2.69565i) q^{23} +(7.97610 + 2.25544i) q^{24} +(-1.27875 - 4.83371i) q^{25} +(-0.585108 - 2.22448i) q^{26} +7.58472 q^{27} +(4.70707 + 2.41732i) q^{28} +0.389298i q^{29} +(-9.19525 + 1.15280i) q^{30} +(3.31666 + 5.74462i) q^{31} +(-1.58920 + 5.42904i) q^{32} +(-4.54746 + 7.87643i) q^{33} +(-5.02820 - 5.07461i) q^{34} +(-5.89983 - 0.438163i) q^{35} +(-0.102678 + 11.1758i) q^{36} +(-0.553818 + 0.959241i) q^{37} +(-10.3303 - 2.81893i) q^{38} +(4.12781 - 2.38319i) q^{39} +(-0.729058 - 6.28239i) q^{40} -0.928523i q^{41} +(-2.26473 + 10.7287i) q^{42} -3.21202i q^{43} +(-5.34664 - 3.15273i) q^{44} +(-4.76348 - 11.5519i) q^{45} +(-1.15883 + 4.24670i) q^{46} +(2.82412 + 1.63050i) q^{47} +(-11.7202 - 0.215377i) q^{48} +(-2.77026 + 6.42850i) q^{49} +(3.48785 + 6.15101i) q^{50} +(7.40178 - 12.8203i) q^{51} +(1.60049 + 2.83191i) q^{52} +(5.44437 + 9.42993i) q^{53} +(-10.3736 + 2.72858i) q^{54} +(6.87877 + 0.916722i) q^{55} +(-7.30745 - 1.61280i) q^{56} -22.1894i q^{57} +(-0.140049 - 0.532440i) q^{58} +(-5.71232 + 3.29801i) q^{59} +(12.1616 - 4.88463i) q^{60} +(-3.21046 + 5.56068i) q^{61} +(-6.60277 - 6.66371i) q^{62} +(-14.7597 + 0.862304i) q^{63} +(0.220465 - 7.99696i) q^{64} +(-2.88178 - 2.21855i) q^{65} +(3.38600 - 12.4085i) q^{66} +(-2.80208 + 1.61778i) q^{67} +(8.70260 + 5.13162i) q^{68} -9.12183 q^{69} +(8.22678 - 1.52317i) q^{70} +7.22771i q^{71} +(-3.88004 - 15.3220i) q^{72} +(1.58632 + 2.74759i) q^{73} +(0.412369 - 1.51118i) q^{74} +(-10.3939 + 10.3281i) q^{75} +(15.1428 + 0.139124i) q^{76} +(3.68379 - 7.33831i) q^{77} +(-4.78823 + 4.74444i) q^{78} +(-6.81139 - 3.93256i) q^{79} +(3.25720 + 8.33011i) q^{80} +(-2.73150 - 4.73109i) q^{81} +(0.334033 + 1.26993i) q^{82} +10.3353 q^{83} +(-0.762164 - 15.4883i) q^{84} +(-11.1964 - 1.49213i) q^{85} +(1.15551 + 4.39306i) q^{86} +(0.988013 - 0.570429i) q^{87} +(8.44675 + 2.38853i) q^{88} +(-9.69972 - 5.60014i) q^{89} +(10.6707 + 14.0858i) q^{90} +(-3.59482 + 2.36527i) q^{91} +(0.0571926 - 6.22506i) q^{92} +(9.71964 - 16.8349i) q^{93} +(-4.44909 - 1.21406i) q^{94} +(-15.6524 + 6.45433i) q^{95} +(16.1072 - 3.92175i) q^{96} +10.5782 q^{97} +(1.47623 - 9.78881i) q^{98} +17.3427 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.36769 + 0.359747i −0.967105 + 0.254379i
\(3\) −1.46528 2.53794i −0.845978 1.46528i −0.884769 0.466030i \(-0.845684\pi\)
0.0387905 0.999247i \(-0.487650\pi\)
\(4\) 1.74116 0.984045i 0.870582 0.492023i
\(5\) −1.36405 + 1.77183i −0.610020 + 0.792386i
\(6\) 2.91706 + 2.94399i 1.19089 + 1.20188i
\(7\) 1.45426 + 2.21023i 0.549658 + 0.835389i
\(8\) −2.02737 + 1.97225i −0.716784 + 0.697295i
\(9\) −2.79408 + 4.83948i −0.931359 + 1.61316i
\(10\) 1.22819 2.91403i 0.388387 0.921496i
\(11\) −1.55174 2.68769i −0.467867 0.810369i 0.531459 0.847084i \(-0.321644\pi\)
−0.999326 + 0.0367148i \(0.988311\pi\)
\(12\) −5.04873 2.97706i −1.45744 0.859404i
\(13\) 1.62644i 0.451094i 0.974232 + 0.225547i \(0.0724170\pi\)
−0.974232 + 0.225547i \(0.927583\pi\)
\(14\) −2.78410 2.49975i −0.744083 0.668087i
\(15\) 6.49549 + 0.865643i 1.67713 + 0.223508i
\(16\) 2.06331 3.42677i 0.515827 0.856693i
\(17\) 2.52573 + 4.37469i 0.612579 + 1.06102i 0.990804 + 0.135304i \(0.0432011\pi\)
−0.378225 + 0.925714i \(0.623466\pi\)
\(18\) 2.08045 7.62408i 0.490367 1.79701i
\(19\) 6.55731 + 3.78587i 1.50435 + 0.868537i 0.999987 + 0.00504564i \(0.00160608\pi\)
0.504363 + 0.863492i \(0.331727\pi\)
\(20\) −0.631472 + 4.42733i −0.141201 + 0.989981i
\(21\) 3.47853 6.92942i 0.759078 1.51212i
\(22\) 3.08919 + 3.11770i 0.658617 + 0.664696i
\(23\) 1.55633 2.69565i 0.324518 0.562081i −0.656897 0.753980i \(-0.728131\pi\)
0.981415 + 0.191899i \(0.0614647\pi\)
\(24\) 7.97610 + 2.25544i 1.62811 + 0.460390i
\(25\) −1.27875 4.83371i −0.255750 0.966743i
\(26\) −0.585108 2.22448i −0.114749 0.436256i
\(27\) 7.58472 1.45968
\(28\) 4.70707 + 2.41732i 0.889554 + 0.456831i
\(29\) 0.389298i 0.0722908i 0.999347 + 0.0361454i \(0.0115079\pi\)
−0.999347 + 0.0361454i \(0.988492\pi\)
\(30\) −9.19525 + 1.15280i −1.67881 + 0.210471i
\(31\) 3.31666 + 5.74462i 0.595689 + 1.03176i 0.993449 + 0.114274i \(0.0364542\pi\)
−0.397760 + 0.917489i \(0.630212\pi\)
\(32\) −1.58920 + 5.42904i −0.280934 + 0.959727i
\(33\) −4.54746 + 7.87643i −0.791611 + 1.37111i
\(34\) −5.02820 5.07461i −0.862329 0.870288i
\(35\) −5.89983 0.438163i −0.997254 0.0740631i
\(36\) −0.102678 + 11.1758i −0.0171130 + 1.86264i
\(37\) −0.553818 + 0.959241i −0.0910471 + 0.157698i −0.907952 0.419074i \(-0.862355\pi\)
0.816905 + 0.576772i \(0.195688\pi\)
\(38\) −10.3303 2.81893i −1.67580 0.457291i
\(39\) 4.12781 2.38319i 0.660979 0.381616i
\(40\) −0.729058 6.28239i −0.115274 0.993334i
\(41\) 0.928523i 0.145011i −0.997368 0.0725055i \(-0.976901\pi\)
0.997368 0.0725055i \(-0.0230995\pi\)
\(42\) −2.26473 + 10.7287i −0.349455 + 1.65548i
\(43\) 3.21202i 0.489829i −0.969545 0.244914i \(-0.921240\pi\)
0.969545 0.244914i \(-0.0787598\pi\)
\(44\) −5.34664 3.15273i −0.806037 0.475292i
\(45\) −4.76348 11.5519i −0.710098 1.72206i
\(46\) −1.15883 + 4.24670i −0.170861 + 0.626142i
\(47\) 2.82412 + 1.63050i 0.411940 + 0.237833i 0.691623 0.722259i \(-0.256896\pi\)
−0.279683 + 0.960092i \(0.590229\pi\)
\(48\) −11.7202 0.215377i −1.69167 0.0310870i
\(49\) −2.77026 + 6.42850i −0.395751 + 0.918358i
\(50\) 3.48785 + 6.15101i 0.493256 + 0.869884i
\(51\) 7.40178 12.8203i 1.03646 1.79520i
\(52\) 1.60049 + 2.83191i 0.221949 + 0.392715i
\(53\) 5.44437 + 9.42993i 0.747842 + 1.29530i 0.948855 + 0.315712i \(0.102243\pi\)
−0.201013 + 0.979589i \(0.564423\pi\)
\(54\) −10.3736 + 2.72858i −1.41166 + 0.371313i
\(55\) 6.87877 + 0.916722i 0.927533 + 0.123611i
\(56\) −7.30745 1.61280i −0.976500 0.215519i
\(57\) 22.1894i 2.93905i
\(58\) −0.140049 0.532440i −0.0183893 0.0699128i
\(59\) −5.71232 + 3.29801i −0.743681 + 0.429364i −0.823406 0.567453i \(-0.807929\pi\)
0.0797253 + 0.996817i \(0.474596\pi\)
\(60\) 12.1616 4.88463i 1.57005 0.630603i
\(61\) −3.21046 + 5.56068i −0.411058 + 0.711973i −0.995006 0.0998183i \(-0.968174\pi\)
0.583948 + 0.811791i \(0.301507\pi\)
\(62\) −6.60277 6.66371i −0.838553 0.846292i
\(63\) −14.7597 + 0.862304i −1.85955 + 0.108640i
\(64\) 0.220465 7.99696i 0.0275582 0.999620i
\(65\) −2.88178 2.21855i −0.357441 0.275177i
\(66\) 3.38600 12.4085i 0.416788 1.52738i
\(67\) −2.80208 + 1.61778i −0.342329 + 0.197644i −0.661301 0.750120i \(-0.729996\pi\)
0.318973 + 0.947764i \(0.396662\pi\)
\(68\) 8.70260 + 5.13162i 1.05534 + 0.622301i
\(69\) −9.12183 −1.09814
\(70\) 8.22678 1.52317i 0.983289 0.182054i
\(71\) 7.22771i 0.857771i 0.903359 + 0.428886i \(0.141094\pi\)
−0.903359 + 0.428886i \(0.858906\pi\)
\(72\) −3.88004 15.3220i −0.457267 1.80572i
\(73\) 1.58632 + 2.74759i 0.185665 + 0.321581i 0.943800 0.330516i \(-0.107223\pi\)
−0.758136 + 0.652097i \(0.773890\pi\)
\(74\) 0.412369 1.51118i 0.0479369 0.175671i
\(75\) −10.3939 + 10.3281i −1.20019 + 1.19259i
\(76\) 15.1428 + 0.139124i 1.73700 + 0.0159587i
\(77\) 3.68379 7.33831i 0.419807 0.836278i
\(78\) −4.78823 + 4.74444i −0.542160 + 0.537202i
\(79\) −6.81139 3.93256i −0.766342 0.442448i 0.0652264 0.997870i \(-0.479223\pi\)
−0.831568 + 0.555423i \(0.812556\pi\)
\(80\) 3.25720 + 8.33011i 0.364166 + 0.931334i
\(81\) −2.73150 4.73109i −0.303500 0.525677i
\(82\) 0.334033 + 1.26993i 0.0368878 + 0.140241i
\(83\) 10.3353 1.13444 0.567221 0.823566i \(-0.308019\pi\)
0.567221 + 0.823566i \(0.308019\pi\)
\(84\) −0.762164 15.4883i −0.0831589 1.68991i
\(85\) −11.1964 1.49213i −1.21442 0.161844i
\(86\) 1.15551 + 4.39306i 0.124602 + 0.473716i
\(87\) 0.988013 0.570429i 0.105926 0.0611565i
\(88\) 8.44675 + 2.38853i 0.900426 + 0.254618i
\(89\) −9.69972 5.60014i −1.02817 0.593613i −0.111709 0.993741i \(-0.535632\pi\)
−0.916459 + 0.400128i \(0.868966\pi\)
\(90\) 10.6707 + 14.0858i 1.12479 + 1.48477i
\(91\) −3.59482 + 2.36527i −0.376840 + 0.247948i
\(92\) 0.0571926 6.22506i 0.00596275 0.649008i
\(93\) 9.71964 16.8349i 1.00788 1.74570i
\(94\) −4.44909 1.21406i −0.458888 0.125221i
\(95\) −15.6524 + 6.45433i −1.60590 + 0.662200i
\(96\) 16.1072 3.92175i 1.64393 0.400262i
\(97\) 10.5782 1.07405 0.537025 0.843566i \(-0.319548\pi\)
0.537025 + 0.843566i \(0.319548\pi\)
\(98\) 1.47623 9.78881i 0.149122 0.988819i
\(99\) 17.3427 1.74301
\(100\) −6.98311 7.15794i −0.698311 0.715794i
\(101\) 2.43704 + 4.22108i 0.242495 + 0.420013i 0.961424 0.275070i \(-0.0887009\pi\)
−0.718929 + 0.695083i \(0.755368\pi\)
\(102\) −5.51132 + 20.1969i −0.545702 + 1.99980i
\(103\) −10.9818 6.34034i −1.08207 0.624732i −0.150614 0.988593i \(-0.548125\pi\)
−0.931454 + 0.363860i \(0.881459\pi\)
\(104\) −3.20775 3.29741i −0.314546 0.323337i
\(105\) 7.53286 + 15.6154i 0.735132 + 1.52391i
\(106\) −10.8386 10.9386i −1.05274 1.06246i
\(107\) −7.60939 4.39329i −0.735628 0.424715i 0.0848496 0.996394i \(-0.472959\pi\)
−0.820477 + 0.571679i \(0.806292\pi\)
\(108\) 13.2063 7.46371i 1.27077 0.718196i
\(109\) −2.69246 + 1.55449i −0.257891 + 0.148893i −0.623372 0.781925i \(-0.714238\pi\)
0.365481 + 0.930819i \(0.380904\pi\)
\(110\) −9.73783 + 1.22082i −0.928466 + 0.116401i
\(111\) 3.24599 0.308095
\(112\) 10.5745 0.423018i 0.999201 0.0399715i
\(113\) 8.76776i 0.824801i 0.911003 + 0.412401i \(0.135310\pi\)
−0.911003 + 0.412401i \(0.864690\pi\)
\(114\) 7.98255 + 30.3482i 0.747635 + 2.84237i
\(115\) 2.65331 + 6.43454i 0.247423 + 0.600024i
\(116\) 0.383087 + 0.677832i 0.0355687 + 0.0629351i
\(117\) −7.87115 4.54441i −0.727688 0.420131i
\(118\) 6.62625 6.56565i 0.609996 0.604417i
\(119\) −5.99602 + 11.9444i −0.549654 + 1.09494i
\(120\) −14.8760 + 11.0558i −1.35799 + 1.00925i
\(121\) 0.684211 1.18509i 0.0622010 0.107735i
\(122\) 2.39049 8.76026i 0.216425 0.793117i
\(123\) −2.35653 + 1.36054i −0.212481 + 0.122676i
\(124\) 11.4278 + 6.73858i 1.02625 + 0.605143i
\(125\) 10.3088 + 4.32769i 0.922046 + 0.387080i
\(126\) 19.8765 6.48912i 1.77074 0.578096i
\(127\) −5.82575 −0.516952 −0.258476 0.966018i \(-0.583220\pi\)
−0.258476 + 0.966018i \(0.583220\pi\)
\(128\) 2.57535 + 11.0167i 0.227631 + 0.973747i
\(129\) −8.15190 + 4.70650i −0.717735 + 0.414384i
\(130\) 4.73950 + 1.99758i 0.415682 + 0.175199i
\(131\) 14.8997 + 8.60235i 1.30179 + 0.751591i 0.980711 0.195461i \(-0.0626203\pi\)
0.321082 + 0.947052i \(0.395954\pi\)
\(132\) −0.167112 + 18.1891i −0.0145452 + 1.58315i
\(133\) 1.16839 + 19.9988i 0.101312 + 1.73412i
\(134\) 3.25040 3.22067i 0.280791 0.278223i
\(135\) −10.3459 + 13.4388i −0.890435 + 1.15663i
\(136\) −13.7486 3.88775i −1.17893 0.333372i
\(137\) 4.01092 2.31571i 0.342676 0.197844i −0.318779 0.947829i \(-0.603273\pi\)
0.661455 + 0.749985i \(0.269939\pi\)
\(138\) 12.4759 3.28155i 1.06202 0.279344i
\(139\) 12.0576i 1.02271i −0.859368 0.511357i \(-0.829143\pi\)
0.859368 0.511357i \(-0.170857\pi\)
\(140\) −10.7038 + 5.04279i −0.904632 + 0.426193i
\(141\) 9.55656i 0.804808i
\(142\) −2.60014 9.88528i −0.218199 0.829554i
\(143\) 4.37138 2.52382i 0.365553 0.211052i
\(144\) 10.8187 + 19.5600i 0.901562 + 1.63000i
\(145\) −0.689769 0.531021i −0.0572822 0.0440989i
\(146\) −3.15803 3.18718i −0.261361 0.263773i
\(147\) 20.3743 2.38881i 1.68045 0.197026i
\(148\) −0.0203519 + 2.21518i −0.00167292 + 0.182087i
\(149\) 15.0162 + 8.66962i 1.23018 + 0.710243i 0.967067 0.254523i \(-0.0819184\pi\)
0.263110 + 0.964766i \(0.415252\pi\)
\(150\) 10.5002 17.8649i 0.857337 1.45866i
\(151\) 16.8208 9.71149i 1.36886 0.790310i 0.378075 0.925775i \(-0.376586\pi\)
0.990782 + 0.135465i \(0.0432529\pi\)
\(152\) −20.7608 + 5.25730i −1.68392 + 0.426423i
\(153\) −28.2283 −2.28212
\(154\) −2.39836 + 11.3618i −0.193266 + 0.915558i
\(155\) −14.7025 1.95938i −1.18094 0.157381i
\(156\) 4.84203 8.21148i 0.387673 0.657445i
\(157\) −15.5317 + 8.96725i −1.23957 + 0.715665i −0.969006 0.247038i \(-0.920543\pi\)
−0.270562 + 0.962703i \(0.587209\pi\)
\(158\) 10.7306 + 2.92816i 0.853682 + 0.232952i
\(159\) 15.9550 27.6349i 1.26532 2.19159i
\(160\) −7.45157 10.2213i −0.589098 0.808061i
\(161\) 8.22132 0.480313i 0.647930 0.0378540i
\(162\) 5.43784 + 5.48803i 0.427237 + 0.431180i
\(163\) −14.8747 8.58794i −1.16508 0.672659i −0.212564 0.977147i \(-0.568181\pi\)
−0.952516 + 0.304488i \(0.901515\pi\)
\(164\) −0.913709 1.61671i −0.0713487 0.126244i
\(165\) −7.75273 18.8011i −0.603549 1.46367i
\(166\) −14.1355 + 3.71807i −1.09712 + 0.288578i
\(167\) 23.1940i 1.79481i −0.441210 0.897404i \(-0.645451\pi\)
0.441210 0.897404i \(-0.354549\pi\)
\(168\) 6.61427 + 20.9090i 0.510302 + 1.61317i
\(169\) 10.3547 0.796514
\(170\) 15.8500 1.98710i 1.21564 0.152404i
\(171\) −36.6433 + 21.1560i −2.80218 + 1.61784i
\(172\) −3.16077 5.59266i −0.241007 0.426436i
\(173\) −13.5835 7.84243i −1.03273 0.596249i −0.114967 0.993369i \(-0.536676\pi\)
−0.917766 + 0.397121i \(0.870009\pi\)
\(174\) −1.14609 + 1.13561i −0.0868847 + 0.0860901i
\(175\) 8.82400 9.85581i 0.667032 0.745029i
\(176\) −12.4118 0.228086i −0.935576 0.0171926i
\(177\) 16.7403 + 9.66500i 1.25828 + 0.726466i
\(178\) 15.2809 + 4.16982i 1.14535 + 0.312541i
\(179\) −1.80380 3.12428i −0.134823 0.233520i 0.790707 0.612195i \(-0.209713\pi\)
−0.925530 + 0.378675i \(0.876380\pi\)
\(180\) −19.6616 15.4263i −1.46549 1.14981i
\(181\) −3.98490 −0.296195 −0.148098 0.988973i \(-0.547315\pi\)
−0.148098 + 0.988973i \(0.547315\pi\)
\(182\) 4.06571 4.52819i 0.301370 0.335652i
\(183\) 18.8169 1.39098
\(184\) 2.16122 + 8.53455i 0.159328 + 0.629175i
\(185\) −0.944176 2.28972i −0.0694172 0.168344i
\(186\) −7.23718 + 26.5216i −0.530656 + 1.94466i
\(187\) 7.83854 13.5767i 0.573211 0.992830i
\(188\) 6.52174 + 0.0599183i 0.475647 + 0.00436999i
\(189\) 11.0302 + 16.7640i 0.802326 + 1.21940i
\(190\) 19.0857 14.4584i 1.38462 1.04892i
\(191\) −8.00755 4.62316i −0.579406 0.334520i 0.181491 0.983393i \(-0.441908\pi\)
−0.760897 + 0.648872i \(0.775241\pi\)
\(192\) −20.6188 + 11.1582i −1.48803 + 0.805277i
\(193\) 10.5917 6.11514i 0.762410 0.440177i −0.0677506 0.997702i \(-0.521582\pi\)
0.830160 + 0.557525i \(0.188249\pi\)
\(194\) −14.4677 + 3.80546i −1.03872 + 0.273216i
\(195\) −1.40792 + 10.5646i −0.100823 + 0.756544i
\(196\) 1.50246 + 13.9191i 0.107319 + 0.994225i
\(197\) 7.38753 0.526340 0.263170 0.964750i \(-0.415232\pi\)
0.263170 + 0.964750i \(0.415232\pi\)
\(198\) −23.7195 + 6.23898i −1.68567 + 0.443385i
\(199\) −2.81699 4.87917i −0.199691 0.345875i 0.748737 0.662867i \(-0.230661\pi\)
−0.948428 + 0.316992i \(0.897327\pi\)
\(200\) 12.1258 + 7.27772i 0.857423 + 0.514612i
\(201\) 8.21166 + 4.74100i 0.579206 + 0.334405i
\(202\) −4.85164 4.89642i −0.341361 0.344511i
\(203\) −0.860439 + 0.566140i −0.0603910 + 0.0397353i
\(204\) 0.272003 29.6059i 0.0190440 2.07283i
\(205\) 1.64518 + 1.26655i 0.114905 + 0.0884597i
\(206\) 17.3006 + 4.72097i 1.20539 + 0.328926i
\(207\) 8.69702 + 15.0637i 0.604485 + 1.04700i
\(208\) 5.57345 + 3.35586i 0.386449 + 0.232687i
\(209\) 23.4987i 1.62544i
\(210\) −15.9202 18.6472i −1.09860 1.28678i
\(211\) 5.14042 0.353881 0.176940 0.984222i \(-0.443380\pi\)
0.176940 + 0.984222i \(0.443380\pi\)
\(212\) 18.7590 + 11.0616i 1.28838 + 0.759711i
\(213\) 18.3435 10.5906i 1.25687 0.725656i
\(214\) 11.9878 + 3.27121i 0.819468 + 0.223615i
\(215\) 5.69115 + 4.38135i 0.388133 + 0.298805i
\(216\) −15.3770 + 14.9590i −1.04628 + 1.01783i
\(217\) −7.87366 + 15.6847i −0.534499 + 1.06475i
\(218\) 3.12323 3.09467i 0.211532 0.209598i
\(219\) 4.64880 8.05195i 0.314137 0.544100i
\(220\) 12.8792 5.17286i 0.868314 0.348754i
\(221\) −7.11519 + 4.10795i −0.478619 + 0.276331i
\(222\) −4.43951 + 1.16773i −0.297961 + 0.0783731i
\(223\) 5.70766i 0.382213i 0.981569 + 0.191106i \(0.0612076\pi\)
−0.981569 + 0.191106i \(0.938792\pi\)
\(224\) −14.3105 + 4.38272i −0.956164 + 0.292833i
\(225\) 26.9656 + 7.31728i 1.79771 + 0.487818i
\(226\) −3.15417 11.9916i −0.209812 0.797669i
\(227\) −9.24524 16.0132i −0.613628 1.06283i −0.990624 0.136620i \(-0.956376\pi\)
0.376996 0.926215i \(-0.376957\pi\)
\(228\) −21.8354 38.6354i −1.44608 2.55869i
\(229\) −4.79008 + 8.29666i −0.316537 + 0.548258i −0.979763 0.200161i \(-0.935854\pi\)
0.663226 + 0.748419i \(0.269187\pi\)
\(230\) −5.94372 7.84595i −0.391917 0.517347i
\(231\) −24.0219 + 1.40343i −1.58053 + 0.0923389i
\(232\) −0.767792 0.789251i −0.0504080 0.0518169i
\(233\) 3.64278 + 2.10316i 0.238647 + 0.137783i 0.614555 0.788874i \(-0.289336\pi\)
−0.375908 + 0.926657i \(0.622669\pi\)
\(234\) 12.4001 + 3.38374i 0.810623 + 0.221202i
\(235\) −6.74120 + 2.77976i −0.439747 + 0.181332i
\(236\) −6.70070 + 11.3636i −0.436178 + 0.739705i
\(237\) 23.0492i 1.49720i
\(238\) 3.90376 18.4933i 0.253043 1.19874i
\(239\) 21.5399i 1.39330i −0.717410 0.696651i \(-0.754673\pi\)
0.717410 0.696651i \(-0.245327\pi\)
\(240\) 16.3686 20.4725i 1.05659 1.32149i
\(241\) 7.51995 4.34165i 0.484403 0.279670i −0.237847 0.971303i \(-0.576442\pi\)
0.722249 + 0.691633i \(0.243108\pi\)
\(242\) −0.509459 + 1.86698i −0.0327493 + 0.120014i
\(243\) 3.37228 5.84097i 0.216332 0.374698i
\(244\) −0.117979 + 12.8413i −0.00755285 + 0.822081i
\(245\) −7.61144 13.6772i −0.486277 0.873805i
\(246\) 2.73356 2.70856i 0.174285 0.172691i
\(247\) −6.15750 + 10.6651i −0.391792 + 0.678604i
\(248\) −18.0539 5.10520i −1.14642 0.324180i
\(249\) −15.1440 26.2302i −0.959713 1.66227i
\(250\) −15.6561 2.21039i −0.990180 0.139798i
\(251\) 11.2144i 0.707844i 0.935275 + 0.353922i \(0.115152\pi\)
−0.935275 + 0.353922i \(0.884848\pi\)
\(252\) −24.8505 + 16.0256i −1.56544 + 1.00952i
\(253\) −9.66008 −0.607324
\(254\) 7.96784 2.09579i 0.499947 0.131502i
\(255\) 12.6189 + 30.6021i 0.790228 + 1.91638i
\(256\) −7.48551 14.1410i −0.467844 0.883811i
\(257\) 5.68553 9.84763i 0.354654 0.614278i −0.632405 0.774638i \(-0.717932\pi\)
0.987059 + 0.160360i \(0.0512654\pi\)
\(258\) 9.45615 9.36967i 0.588714 0.583330i
\(259\) −2.92554 + 0.170919i −0.181784 + 0.0106204i
\(260\) −7.20080 1.02705i −0.446575 0.0636951i
\(261\) −1.88400 1.08773i −0.116617 0.0673287i
\(262\) −23.4729 6.40525i −1.45016 0.395718i
\(263\) 9.68088 + 16.7678i 0.596949 + 1.03395i 0.993269 + 0.115833i \(0.0369537\pi\)
−0.396320 + 0.918112i \(0.629713\pi\)
\(264\) −6.31490 24.9372i −0.388655 1.53478i
\(265\) −24.1346 3.21638i −1.48258 0.197580i
\(266\) −8.79250 26.9319i −0.539103 1.65130i
\(267\) 32.8230i 2.00874i
\(268\) −3.28692 + 5.57420i −0.200780 + 0.340499i
\(269\) 0.761782 + 1.31945i 0.0464467 + 0.0804480i 0.888314 0.459236i \(-0.151877\pi\)
−0.841867 + 0.539684i \(0.818544\pi\)
\(270\) 9.31546 22.1021i 0.566921 1.34509i
\(271\) −9.32172 + 16.1457i −0.566254 + 0.980781i 0.430677 + 0.902506i \(0.358275\pi\)
−0.996932 + 0.0782754i \(0.975059\pi\)
\(272\) 20.2024 + 0.371250i 1.22495 + 0.0225103i
\(273\) 11.2703 + 5.65764i 0.682111 + 0.342416i
\(274\) −4.65264 + 4.61009i −0.281076 + 0.278506i
\(275\) −11.0072 + 10.9376i −0.663762 + 0.659559i
\(276\) −15.8826 + 8.97630i −0.956021 + 0.540310i
\(277\) −4.74717 8.22234i −0.285230 0.494033i 0.687435 0.726246i \(-0.258737\pi\)
−0.972665 + 0.232213i \(0.925403\pi\)
\(278\) 4.33769 + 16.4911i 0.260157 + 0.989072i
\(279\) −37.0680 −2.21920
\(280\) 12.8253 10.7476i 0.766459 0.642293i
\(281\) −9.11431 −0.543714 −0.271857 0.962338i \(-0.587638\pi\)
−0.271857 + 0.962338i \(0.587638\pi\)
\(282\) 3.43794 + 13.0704i 0.204726 + 0.778333i
\(283\) 7.77457 + 13.4659i 0.462150 + 0.800467i 0.999068 0.0431671i \(-0.0137448\pi\)
−0.536918 + 0.843635i \(0.680411\pi\)
\(284\) 7.11239 + 12.5846i 0.422043 + 0.746760i
\(285\) 39.3158 + 30.2674i 2.32886 + 1.79288i
\(286\) −5.07077 + 5.02439i −0.299841 + 0.297099i
\(287\) 2.05225 1.35031i 0.121141 0.0797065i
\(288\) −21.8334 22.8601i −1.28654 1.34704i
\(289\) −4.25859 + 7.37610i −0.250506 + 0.433888i
\(290\) 1.13442 + 0.478131i 0.0666157 + 0.0280768i
\(291\) −15.4999 26.8467i −0.908623 1.57378i
\(292\) 5.46579 + 3.22299i 0.319861 + 0.188611i
\(293\) 8.72422i 0.509674i 0.966984 + 0.254837i \(0.0820219\pi\)
−0.966984 + 0.254837i \(0.917978\pi\)
\(294\) −27.0064 + 10.5967i −1.57505 + 0.618015i
\(295\) 1.94837 14.6199i 0.113438 0.851203i
\(296\) −0.769068 3.03700i −0.0447011 0.176522i
\(297\) −11.7695 20.3854i −0.682936 1.18288i
\(298\) −23.6564 6.45534i −1.37038 0.373948i
\(299\) 4.38432 + 2.53129i 0.253552 + 0.146388i
\(300\) −7.93421 + 28.2111i −0.458082 + 1.62877i
\(301\) 7.09932 4.67111i 0.409198 0.269238i
\(302\) −19.5120 + 19.3336i −1.12279 + 1.11252i
\(303\) 7.14189 12.3701i 0.410291 0.710644i
\(304\) 26.5031 14.6590i 1.52005 0.840751i
\(305\) −5.47336 13.2734i −0.313403 0.760034i
\(306\) 38.6076 10.1550i 2.20705 0.580525i
\(307\) −7.13157 −0.407020 −0.203510 0.979073i \(-0.565235\pi\)
−0.203510 + 0.979073i \(0.565235\pi\)
\(308\) −0.807137 16.4022i −0.0459909 0.934603i
\(309\) 37.1614i 2.11404i
\(310\) 20.8134 2.60936i 1.18212 0.148202i
\(311\) −15.8284 27.4155i −0.897545 1.55459i −0.830623 0.556835i \(-0.812016\pi\)
−0.0669214 0.997758i \(-0.521318\pi\)
\(312\) −3.66835 + 12.9727i −0.207680 + 0.734434i
\(313\) 11.5185 19.9506i 0.651063 1.12767i −0.331802 0.943349i \(-0.607657\pi\)
0.982865 0.184325i \(-0.0590101\pi\)
\(314\) 18.0167 17.8519i 1.01674 1.00744i
\(315\) 18.6051 27.3279i 1.04828 1.53975i
\(316\) −15.7296 0.144515i −0.884858 0.00812961i
\(317\) 8.93503 15.4759i 0.501841 0.869214i −0.498157 0.867087i \(-0.665990\pi\)
0.999998 0.00212719i \(-0.000677106\pi\)
\(318\) −11.8800 + 43.5359i −0.666198 + 2.44137i
\(319\) 1.04631 0.604089i 0.0585823 0.0338225i
\(320\) 13.8685 + 11.2989i 0.775274 + 0.631625i
\(321\) 25.7495i 1.43720i
\(322\) −11.0714 + 3.61451i −0.616987 + 0.201429i
\(323\) 38.2483i 2.12819i
\(324\) −9.41159 5.54969i −0.522866 0.308316i
\(325\) 7.86177 2.07982i 0.436092 0.115367i
\(326\) 23.4336 + 6.39452i 1.29786 + 0.354160i
\(327\) 7.89040 + 4.55553i 0.436340 + 0.251921i
\(328\) 1.83128 + 1.88246i 0.101115 + 0.103942i
\(329\) 0.503204 + 8.61313i 0.0277425 + 0.474857i
\(330\) 17.3670 + 22.9251i 0.956021 + 1.26199i
\(331\) 0.709904 1.22959i 0.0390199 0.0675844i −0.845856 0.533411i \(-0.820910\pi\)
0.884876 + 0.465827i \(0.154243\pi\)
\(332\) 17.9954 10.1704i 0.987625 0.558171i
\(333\) −3.09482 5.36038i −0.169595 0.293747i
\(334\) 8.34397 + 31.7223i 0.456562 + 1.73577i
\(335\) 0.955739 7.17154i 0.0522176 0.391823i
\(336\) −16.5682 26.2177i −0.903872 1.43029i
\(337\) 9.43095i 0.513737i 0.966446 + 0.256868i \(0.0826907\pi\)
−0.966446 + 0.256868i \(0.917309\pi\)
\(338\) −14.1620 + 3.72506i −0.770312 + 0.202617i
\(339\) 22.2520 12.8472i 1.20856 0.697764i
\(340\) −20.9631 + 8.41973i −1.13688 + 0.456624i
\(341\) 10.2932 17.8283i 0.557406 0.965456i
\(342\) 42.5059 42.1172i 2.29846 2.27744i
\(343\) −18.2372 + 3.22580i −0.984714 + 0.174177i
\(344\) 6.33491 + 6.51196i 0.341555 + 0.351101i
\(345\) 12.4426 16.1623i 0.669888 0.870150i
\(346\) 21.3993 + 5.83942i 1.15043 + 0.313929i
\(347\) 6.57622 3.79678i 0.353030 0.203822i −0.312989 0.949757i \(-0.601330\pi\)
0.666019 + 0.745935i \(0.267997\pi\)
\(348\) 1.15896 1.96546i 0.0621270 0.105360i
\(349\) −7.65991 −0.410026 −0.205013 0.978759i \(-0.565724\pi\)
−0.205013 + 0.978759i \(0.565724\pi\)
\(350\) −8.52292 + 16.6541i −0.455569 + 0.890200i
\(351\) 12.3361i 0.658454i
\(352\) 17.0576 4.15316i 0.909173 0.221364i
\(353\) −0.293236 0.507900i −0.0156074 0.0270328i 0.858116 0.513455i \(-0.171635\pi\)
−0.873724 + 0.486423i \(0.838302\pi\)
\(354\) −26.3725 7.19649i −1.40168 0.382489i
\(355\) −12.8063 9.85893i −0.679686 0.523258i
\(356\) −22.3996 0.205796i −1.18718 0.0109072i
\(357\) 39.0999 2.28433i 2.06938 0.120899i
\(358\) 3.59100 + 3.62414i 0.189790 + 0.191542i
\(359\) 10.9912 + 6.34574i 0.580091 + 0.334916i 0.761169 0.648553i \(-0.224626\pi\)
−0.181079 + 0.983469i \(0.557959\pi\)
\(360\) 32.4406 + 14.0252i 1.70977 + 0.739194i
\(361\) 19.1656 + 33.1957i 1.00871 + 1.74714i
\(362\) 5.45011 1.43355i 0.286452 0.0753459i
\(363\) −4.01024 −0.210483
\(364\) −3.93164 + 7.65580i −0.206074 + 0.401273i
\(365\) −7.03206 0.937151i −0.368075 0.0490527i
\(366\) −25.7357 + 6.76931i −1.34523 + 0.353837i
\(367\) −22.8707 + 13.2044i −1.19384 + 0.689264i −0.959175 0.282812i \(-0.908733\pi\)
−0.234665 + 0.972076i \(0.575399\pi\)
\(368\) −6.02616 10.8951i −0.314136 0.567949i
\(369\) 4.49357 + 2.59436i 0.233926 + 0.135057i
\(370\) 2.11506 + 2.79197i 0.109957 + 0.145147i
\(371\) −12.9248 + 25.7469i −0.671023 + 1.33671i
\(372\) 0.357181 38.8769i 0.0185190 2.01567i
\(373\) −5.88204 + 10.1880i −0.304561 + 0.527515i −0.977163 0.212489i \(-0.931843\pi\)
0.672603 + 0.740004i \(0.265176\pi\)
\(374\) −5.83652 + 21.3887i −0.301799 + 1.10598i
\(375\) −4.12185 32.5043i −0.212851 1.67851i
\(376\) −8.94129 + 2.26422i −0.461112 + 0.116768i
\(377\) −0.633171 −0.0326100
\(378\) −21.1167 18.9599i −1.08612 0.975194i
\(379\) 3.03621 0.155960 0.0779799 0.996955i \(-0.475153\pi\)
0.0779799 + 0.996955i \(0.475153\pi\)
\(380\) −20.9020 + 26.6407i −1.07225 + 1.36664i
\(381\) 8.53634 + 14.7854i 0.437330 + 0.757478i
\(382\) 12.6150 + 3.44238i 0.645441 + 0.176127i
\(383\) 10.8418 + 6.25951i 0.553989 + 0.319846i 0.750729 0.660610i \(-0.229702\pi\)
−0.196740 + 0.980456i \(0.563036\pi\)
\(384\) 24.1861 22.6786i 1.23424 1.15731i
\(385\) 7.97735 + 16.5368i 0.406563 + 0.842795i
\(386\) −12.2863 + 12.1740i −0.625358 + 0.619639i
\(387\) 15.5445 + 8.97463i 0.790172 + 0.456206i
\(388\) 18.4183 10.4094i 0.935049 0.528457i
\(389\) 21.3594 12.3319i 1.08297 0.625251i 0.151271 0.988492i \(-0.451663\pi\)
0.931695 + 0.363242i \(0.118330\pi\)
\(390\) −1.87496 14.9556i −0.0949424 0.757304i
\(391\) 15.7235 0.795170
\(392\) −7.06227 18.4966i −0.356699 0.934220i
\(393\) 50.4193i 2.54332i
\(394\) −10.1039 + 2.65764i −0.509026 + 0.133890i
\(395\) 16.2589 6.70442i 0.818073 0.337336i
\(396\) 30.1965 17.0660i 1.51743 0.857599i
\(397\) 19.5980 + 11.3149i 0.983597 + 0.567880i 0.903354 0.428895i \(-0.141097\pi\)
0.0802429 + 0.996775i \(0.474430\pi\)
\(398\) 5.60804 + 5.65980i 0.281106 + 0.283700i
\(399\) 49.0437 32.2691i 2.45526 1.61548i
\(400\) −19.2025 5.59146i −0.960124 0.279573i
\(401\) 11.9623 20.7194i 0.597371 1.03468i −0.395837 0.918321i \(-0.629546\pi\)
0.993208 0.116355i \(-0.0371212\pi\)
\(402\) −12.9366 3.53012i −0.645218 0.176066i
\(403\) −9.34330 + 5.39436i −0.465423 + 0.268712i
\(404\) 8.39703 + 4.95144i 0.417768 + 0.246343i
\(405\) 12.1086 + 1.61369i 0.601680 + 0.0801848i
\(406\) 0.973149 1.08385i 0.0482966 0.0537904i
\(407\) 3.43752 0.170392
\(408\) 10.2786 + 40.5896i 0.508866 + 2.00948i
\(409\) −25.1282 + 14.5078i −1.24251 + 0.717364i −0.969605 0.244676i \(-0.921318\pi\)
−0.272907 + 0.962040i \(0.587985\pi\)
\(410\) −2.70574 1.14040i −0.133627 0.0563204i
\(411\) −11.7542 6.78631i −0.579794 0.334744i
\(412\) −25.3603 0.232997i −1.24941 0.0114789i
\(413\) −15.5966 7.82940i −0.767457 0.385259i
\(414\) −17.3140 17.4738i −0.850935 0.858788i
\(415\) −14.0978 + 18.3123i −0.692033 + 0.898916i
\(416\) −8.83002 2.58475i −0.432928 0.126728i
\(417\) −30.6015 + 17.6678i −1.49856 + 0.865194i
\(418\) 8.45358 + 32.1390i 0.413478 + 1.57197i
\(419\) 18.1727i 0.887794i 0.896078 + 0.443897i \(0.146404\pi\)
−0.896078 + 0.443897i \(0.853596\pi\)
\(420\) 28.4822 + 19.7763i 1.38979 + 0.964987i
\(421\) 30.9941i 1.51056i −0.655403 0.755279i \(-0.727501\pi\)
0.655403 0.755279i \(-0.272499\pi\)
\(422\) −7.03051 + 1.84925i −0.342240 + 0.0900199i
\(423\) −15.7816 + 9.11150i −0.767327 + 0.443016i
\(424\) −29.6359 8.38031i −1.43925 0.406984i
\(425\) 17.9162 17.8028i 0.869064 0.863562i
\(426\) −21.2783 + 21.0837i −1.03094 + 1.02151i
\(427\) −16.9593 + 0.990809i −0.820716 + 0.0479486i
\(428\) −17.5724 0.161446i −0.849394 0.00780379i
\(429\) −12.8106 7.39619i −0.618500 0.357091i
\(430\) −9.35992 3.94497i −0.451375 0.190243i
\(431\) −17.6956 + 10.2166i −0.852369 + 0.492115i −0.861449 0.507843i \(-0.830443\pi\)
0.00908058 + 0.999959i \(0.497110\pi\)
\(432\) 15.6496 25.9911i 0.752943 1.25050i
\(433\) −2.57285 −0.123643 −0.0618216 0.998087i \(-0.519691\pi\)
−0.0618216 + 0.998087i \(0.519691\pi\)
\(434\) 5.12621 24.2844i 0.246066 1.16569i
\(435\) −0.336993 + 2.52868i −0.0161576 + 0.121241i
\(436\) −3.15833 + 5.35613i −0.151256 + 0.256512i
\(437\) 20.4107 11.7841i 0.976377 0.563711i
\(438\) −3.46146 + 12.6850i −0.165395 + 0.606112i
\(439\) −7.66013 + 13.2677i −0.365598 + 0.633234i −0.988872 0.148769i \(-0.952469\pi\)
0.623274 + 0.782003i \(0.285802\pi\)
\(440\) −15.7538 + 11.7081i −0.751034 + 0.558163i
\(441\) −23.3703 31.3683i −1.11287 1.49373i
\(442\) 8.25356 8.17808i 0.392582 0.388992i
\(443\) −5.24553 3.02851i −0.249223 0.143889i 0.370185 0.928958i \(-0.379294\pi\)
−0.619408 + 0.785069i \(0.712627\pi\)
\(444\) 5.65180 3.19420i 0.268223 0.151590i
\(445\) 23.1534 9.54739i 1.09757 0.452590i
\(446\) −2.05331 7.80632i −0.0972270 0.369640i
\(447\) 50.8136i 2.40340i
\(448\) 17.9958 11.1424i 0.850220 0.526428i
\(449\) −9.93819 −0.469012 −0.234506 0.972115i \(-0.575347\pi\)
−0.234506 + 0.972115i \(0.575347\pi\)
\(450\) −39.5130 0.306998i −1.86266 0.0144720i
\(451\) −2.49558 + 1.44083i −0.117512 + 0.0678458i
\(452\) 8.62787 + 15.2661i 0.405821 + 0.718058i
\(453\) −49.2943 28.4601i −2.31605 1.33717i
\(454\) 18.4053 + 18.5752i 0.863806 + 0.871778i
\(455\) 0.712648 9.59575i 0.0334095 0.449856i
\(456\) 43.7630 + 44.9861i 2.04939 + 2.10667i
\(457\) −15.9573 9.21295i −0.746451 0.430964i 0.0779590 0.996957i \(-0.475160\pi\)
−0.824410 + 0.565993i \(0.808493\pi\)
\(458\) 3.56666 13.0705i 0.166659 0.610744i
\(459\) 19.1569 + 33.1808i 0.894170 + 1.54875i
\(460\) 10.9517 + 8.59262i 0.510627 + 0.400633i
\(461\) 17.6061 0.819998 0.409999 0.912086i \(-0.365529\pi\)
0.409999 + 0.912086i \(0.365529\pi\)
\(462\) 32.3497 10.5613i 1.50505 0.491354i
\(463\) 28.5438 1.32654 0.663271 0.748379i \(-0.269168\pi\)
0.663271 + 0.748379i \(0.269168\pi\)
\(464\) 1.33403 + 0.803242i 0.0619310 + 0.0372896i
\(465\) 16.5705 + 40.1851i 0.768440 + 1.86354i
\(466\) −5.73881 1.56600i −0.265845 0.0725435i
\(467\) −3.09243 + 5.35625i −0.143101 + 0.247857i −0.928663 0.370925i \(-0.879041\pi\)
0.785562 + 0.618783i \(0.212374\pi\)
\(468\) −18.1769 0.167000i −0.840226 0.00771956i
\(469\) −7.65063 3.84058i −0.353273 0.177341i
\(470\) 8.21988 6.22698i 0.379155 0.287229i
\(471\) 45.5166 + 26.2790i 2.09729 + 1.21087i
\(472\) 5.07649 17.9524i 0.233665 0.826327i
\(473\) −8.63292 + 4.98422i −0.396942 + 0.229175i
\(474\) −8.29186 31.5242i −0.380858 1.44795i
\(475\) 9.91463 36.5374i 0.454914 1.67645i
\(476\) 1.31376 + 26.6975i 0.0602159 + 1.22368i
\(477\) −60.8480 −2.78604
\(478\) 7.74891 + 29.4600i 0.354427 + 1.34747i
\(479\) −6.58753 11.4099i −0.300992 0.521333i 0.675369 0.737480i \(-0.263984\pi\)
−0.976361 + 0.216147i \(0.930651\pi\)
\(480\) −15.0223 + 33.8886i −0.685670 + 1.54679i
\(481\) −1.56015 0.900754i −0.0711368 0.0410708i
\(482\) −8.72309 + 8.64331i −0.397326 + 0.393692i
\(483\) −13.2655 20.1614i −0.603602 0.917374i
\(484\) 0.0251436 2.73673i 0.00114289 0.124397i
\(485\) −14.4291 + 18.7427i −0.655192 + 0.851062i
\(486\) −2.51098 + 9.20182i −0.113900 + 0.417403i
\(487\) −0.665258 1.15226i −0.0301457 0.0522139i 0.850559 0.525880i \(-0.176264\pi\)
−0.880705 + 0.473666i \(0.842930\pi\)
\(488\) −4.45826 17.6054i −0.201816 0.796959i
\(489\) 50.3349i 2.27622i
\(490\) 15.3304 + 15.9680i 0.692559 + 0.721362i
\(491\) 43.7619 1.97495 0.987474 0.157779i \(-0.0504335\pi\)
0.987474 + 0.157779i \(0.0504335\pi\)
\(492\) −2.76427 + 4.68787i −0.124623 + 0.211345i
\(493\) −1.70306 + 0.983260i −0.0767018 + 0.0442838i
\(494\) 4.58483 16.8017i 0.206281 0.755945i
\(495\) −23.6563 + 30.7283i −1.06327 + 1.38113i
\(496\) 26.5288 + 0.487506i 1.19118 + 0.0218897i
\(497\) −15.9749 + 10.5110i −0.716573 + 0.471481i
\(498\) 30.1486 + 30.4269i 1.35099 + 1.36346i
\(499\) −15.2053 + 26.3363i −0.680681 + 1.17897i 0.294092 + 0.955777i \(0.404983\pi\)
−0.974773 + 0.223197i \(0.928351\pi\)
\(500\) 22.2079 2.60910i 0.993169 0.116682i
\(501\) −58.8649 + 33.9857i −2.62989 + 1.51837i
\(502\) −4.03433 15.3378i −0.180061 0.684559i
\(503\) 9.86442i 0.439833i 0.975519 + 0.219916i \(0.0705785\pi\)
−0.975519 + 0.219916i \(0.929422\pi\)
\(504\) 28.2227 30.8580i 1.25714 1.37452i
\(505\) −10.8033 1.43973i −0.480739 0.0640673i
\(506\) 13.2120 3.47518i 0.587346 0.154491i
\(507\) −15.1725 26.2795i −0.673833 1.16711i
\(508\) −10.1436 + 5.73280i −0.450049 + 0.254352i
\(509\) 7.69465 13.3275i 0.341059 0.590732i −0.643570 0.765387i \(-0.722548\pi\)
0.984630 + 0.174655i \(0.0558809\pi\)
\(510\) −28.2678 37.3147i −1.25172 1.65232i
\(511\) −3.76588 + 7.50184i −0.166593 + 0.331862i
\(512\) 15.3250 + 16.6476i 0.677277 + 0.735728i
\(513\) 49.7354 + 28.7147i 2.19587 + 1.26779i
\(514\) −4.23341 + 15.5139i −0.186728 + 0.684288i
\(515\) 26.2137 10.8093i 1.15511 0.476316i
\(516\) −9.56239 + 16.2166i −0.420961 + 0.713898i
\(517\) 10.1205i 0.445098i
\(518\) 3.93975 1.28622i 0.173103 0.0565131i
\(519\) 45.9653i 2.01765i
\(520\) 10.2180 1.18577i 0.448087 0.0519995i
\(521\) 11.5108 6.64575i 0.504296 0.291156i −0.226190 0.974083i \(-0.572627\pi\)
0.730486 + 0.682928i \(0.239294\pi\)
\(522\) 2.96804 + 0.809915i 0.129908 + 0.0354490i
\(523\) −3.96445 + 6.86663i −0.173353 + 0.300257i −0.939590 0.342301i \(-0.888794\pi\)
0.766237 + 0.642558i \(0.222127\pi\)
\(524\) 34.4079 + 0.316122i 1.50312 + 0.0138099i
\(525\) −37.9430 7.95323i −1.65597 0.347108i
\(526\) −19.2726 19.4505i −0.840326 0.848082i
\(527\) −16.7539 + 29.0187i −0.729813 + 1.26407i
\(528\) 17.6079 + 31.8346i 0.766285 + 1.38542i
\(529\) 6.65566 + 11.5279i 0.289377 + 0.501215i
\(530\) 34.1658 4.28333i 1.48407 0.186056i
\(531\) 36.8596i 1.59957i
\(532\) 21.7141 + 33.6715i 0.941426 + 1.45984i
\(533\) 1.51019 0.0654136
\(534\) −11.8080 44.8918i −0.510981 1.94266i
\(535\) 18.1637 7.48989i 0.785286 0.323816i
\(536\) 2.49019 8.80625i 0.107560 0.380372i
\(537\) −5.28615 + 9.15588i −0.228114 + 0.395105i
\(538\) −1.51655 1.53055i −0.0653831 0.0659865i
\(539\) 21.5766 2.52976i 0.929368 0.108965i
\(540\) −4.78954 + 33.5801i −0.206109 + 1.44506i
\(541\) −37.4487 21.6210i −1.61005 0.929561i −0.989358 0.145504i \(-0.953520\pi\)
−0.620689 0.784057i \(-0.713147\pi\)
\(542\) 6.94089 25.4358i 0.298137 1.09256i
\(543\) 5.83898 + 10.1134i 0.250575 + 0.434008i
\(544\) −27.7642 + 6.75999i −1.19038 + 0.289832i
\(545\) 0.918349 6.89098i 0.0393377 0.295177i
\(546\) −17.4496 3.68345i −0.746776 0.157637i
\(547\) 21.2017i 0.906519i −0.891379 0.453260i \(-0.850261\pi\)
0.891379 0.453260i \(-0.149739\pi\)
\(548\) 4.70492 7.97896i 0.200984 0.340844i
\(549\) −17.9406 31.0740i −0.765684 1.32620i
\(550\) 11.1198 18.9190i 0.474149 0.806710i
\(551\) −1.47383 + 2.55275i −0.0627873 + 0.108751i
\(552\) 18.4933 17.9905i 0.787129 0.765728i
\(553\) −1.21366 20.7737i −0.0516101 0.883389i
\(554\) 9.45063 + 9.53786i 0.401519 + 0.405225i
\(555\) −4.42768 + 5.75133i −0.187945 + 0.244130i
\(556\) −11.8653 20.9943i −0.503199 0.890357i
\(557\) 1.74567 + 3.02359i 0.0739663 + 0.128113i 0.900636 0.434574i \(-0.143101\pi\)
−0.826670 + 0.562687i \(0.809768\pi\)
\(558\) 50.6976 13.3351i 2.14620 0.564519i
\(559\) 5.22417 0.220959
\(560\) −13.6747 + 19.3133i −0.577860 + 0.816136i
\(561\) −45.9425 −1.93970
\(562\) 12.4656 3.27884i 0.525828 0.138310i
\(563\) 7.10505 + 12.3063i 0.299442 + 0.518649i 0.976008 0.217733i \(-0.0698661\pi\)
−0.676566 + 0.736382i \(0.736533\pi\)
\(564\) −9.40409 16.6395i −0.395984 0.700651i
\(565\) −15.5350 11.9596i −0.653561 0.503146i
\(566\) −15.4775 15.6204i −0.650570 0.656574i
\(567\) 6.48451 12.9175i 0.272324 0.542483i
\(568\) −14.2548 14.6532i −0.598120 0.614836i
\(569\) 15.5447 26.9242i 0.651666 1.12872i −0.331052 0.943613i \(-0.607404\pi\)
0.982718 0.185107i \(-0.0592631\pi\)
\(570\) −64.6604 27.2527i −2.70833 1.14149i
\(571\) −4.74777 8.22337i −0.198688 0.344137i 0.749415 0.662100i \(-0.230335\pi\)
−0.948103 + 0.317963i \(0.897001\pi\)
\(572\) 5.12774 8.69602i 0.214402 0.363599i
\(573\) 27.0969i 1.13199i
\(574\) −2.32108 + 2.58510i −0.0968800 + 0.107900i
\(575\) −15.0201 4.07580i −0.626383 0.169973i
\(576\) 38.0852 + 23.4111i 1.58688 + 0.975461i
\(577\) 16.2630 + 28.1683i 0.677037 + 1.17266i 0.975869 + 0.218356i \(0.0700695\pi\)
−0.298832 + 0.954306i \(0.596597\pi\)
\(578\) 3.17092 11.6203i 0.131893 0.483339i
\(579\) −31.0397 17.9208i −1.28996 0.744761i
\(580\) −1.72355 0.245831i −0.0715665 0.0102076i
\(581\) 15.0301 + 22.8433i 0.623556 + 0.947701i
\(582\) 30.8572 + 31.1420i 1.27907 + 1.29088i
\(583\) 16.8965 29.2656i 0.699781 1.21206i
\(584\) −8.63498 2.44176i −0.357318 0.101041i
\(585\) 18.7885 7.74753i 0.776810 0.320321i
\(586\) −3.13851 11.9321i −0.129651 0.492908i
\(587\) 18.4126 0.759968 0.379984 0.924993i \(-0.375929\pi\)
0.379984 + 0.924993i \(0.375929\pi\)
\(588\) 33.1244 24.2086i 1.36603 0.998344i
\(589\) 50.2256i 2.06951i
\(590\) 2.59469 + 20.6964i 0.106822 + 0.852059i
\(591\) −10.8248 18.7491i −0.445272 0.771234i
\(592\) 2.14440 + 3.87702i 0.0881343 + 0.159344i
\(593\) −16.2273 + 28.1066i −0.666377 + 1.15420i 0.312533 + 0.949907i \(0.398823\pi\)
−0.978910 + 0.204292i \(0.934511\pi\)
\(594\) 23.4307 + 23.6469i 0.961371 + 0.970244i
\(595\) −12.9845 26.9166i −0.532314 1.10347i
\(596\) 34.6770 + 0.318594i 1.42043 + 0.0130501i
\(597\) −8.25534 + 14.2987i −0.337869 + 0.585206i
\(598\) −6.90702 1.88478i −0.282449 0.0770743i
\(599\) −16.2697 + 9.39332i −0.664762 + 0.383801i −0.794089 0.607801i \(-0.792052\pi\)
0.129327 + 0.991602i \(0.458718\pi\)
\(600\) 0.702721 41.4383i 0.0286885 1.69171i
\(601\) 37.1087i 1.51369i −0.653592 0.756847i \(-0.726739\pi\)
0.653592 0.756847i \(-0.273261\pi\)
\(602\) −8.02926 + 8.94260i −0.327248 + 0.364473i
\(603\) 18.0808i 0.736309i
\(604\) 19.7312 33.4617i 0.802852 1.36154i
\(605\) 1.16648 + 2.82882i 0.0474240 + 0.115008i
\(606\) −5.31780 + 19.4878i −0.216021 + 0.791637i
\(607\) −3.49971 2.02056i −0.142049 0.0820119i 0.427291 0.904114i \(-0.359468\pi\)
−0.569340 + 0.822102i \(0.692801\pi\)
\(608\) −30.9745 + 29.5834i −1.25618 + 1.19976i
\(609\) 2.69761 + 1.35419i 0.109313 + 0.0548744i
\(610\) 12.2609 + 16.1849i 0.496431 + 0.655309i
\(611\) −2.65192 + 4.59327i −0.107285 + 0.185824i
\(612\) −49.1501 + 27.7779i −1.98678 + 1.12286i
\(613\) −15.5447 26.9242i −0.627844 1.08746i −0.987984 0.154559i \(-0.950604\pi\)
0.360140 0.932898i \(-0.382729\pi\)
\(614\) 9.75380 2.56556i 0.393631 0.103538i
\(615\) 0.803770 6.03122i 0.0324111 0.243202i
\(616\) 7.00456 + 22.1428i 0.282222 + 0.892160i
\(617\) 15.3302i 0.617170i 0.951197 + 0.308585i \(0.0998554\pi\)
−0.951197 + 0.308585i \(0.900145\pi\)
\(618\) −13.3687 50.8254i −0.537768 2.04450i
\(619\) 37.3373 21.5567i 1.50071 0.866438i 0.500715 0.865612i \(-0.333071\pi\)
1.00000 0.000825626i \(-0.000262805\pi\)
\(620\) −27.5277 + 11.0564i −1.10554 + 0.444034i
\(621\) 11.8043 20.4457i 0.473692 0.820459i
\(622\) 31.5110 + 31.8018i 1.26348 + 1.27514i
\(623\) −1.72831 29.5827i −0.0692431 1.18521i
\(624\) 0.350299 19.0623i 0.0140232 0.763104i
\(625\) −21.7296 + 12.3622i −0.869184 + 0.494489i
\(626\) −8.57658 + 31.4300i −0.342789 + 1.25620i
\(627\) −59.6382 + 34.4321i −2.38172 + 1.37509i
\(628\) −18.2191 + 30.8974i −0.727023 + 1.23294i
\(629\) −5.59517 −0.223094
\(630\) −15.6149 + 44.0692i −0.622112 + 1.75576i
\(631\) 23.9995i 0.955404i −0.878522 0.477702i \(-0.841470\pi\)
0.878522 0.477702i \(-0.158530\pi\)
\(632\) 21.5652 5.46101i 0.857818 0.217227i
\(633\) −7.53214 13.0460i −0.299376 0.518534i
\(634\) −6.65296 + 24.3806i −0.264223 + 0.968279i
\(635\) 7.94660 10.3222i 0.315351 0.409625i
\(636\) 0.586321 63.8174i 0.0232492 2.53053i
\(637\) −10.4556 4.50567i −0.414266 0.178521i
\(638\) −1.21371 + 1.20261i −0.0480514 + 0.0476120i
\(639\) −34.9784 20.1948i −1.38372 0.798893i
\(640\) −23.0326 10.4642i −0.910443 0.413634i
\(641\) 12.7941 + 22.1600i 0.505336 + 0.875267i 0.999981 + 0.00617237i \(0.00196474\pi\)
−0.494645 + 0.869095i \(0.664702\pi\)
\(642\) −9.26331 35.2174i −0.365593 1.38992i
\(643\) 48.1544 1.89902 0.949512 0.313731i \(-0.101579\pi\)
0.949512 + 0.313731i \(0.101579\pi\)
\(644\) 13.8420 8.92645i 0.545452 0.351751i
\(645\) 2.78046 20.8637i 0.109481 0.821506i
\(646\) −13.7597 52.3118i −0.541367 2.05818i
\(647\) −11.2431 + 6.49122i −0.442013 + 0.255196i −0.704451 0.709752i \(-0.748807\pi\)
0.262438 + 0.964949i \(0.415473\pi\)
\(648\) 14.8686 + 4.20448i 0.584096 + 0.165168i
\(649\) 17.7281 + 10.2353i 0.695887 + 0.401771i
\(650\) −10.0043 + 5.67279i −0.392400 + 0.222505i
\(651\) 51.3440 2.99966i 2.01233 0.117566i
\(652\) −34.3503 0.315593i −1.34526 0.0123596i
\(653\) 10.4539 18.1068i 0.409094 0.708572i −0.585694 0.810532i \(-0.699178\pi\)
0.994789 + 0.101960i \(0.0325113\pi\)
\(654\) −12.4305 3.39201i −0.486070 0.132638i
\(655\) −35.5658 + 14.6657i −1.38967 + 0.573037i
\(656\) −3.18184 1.91583i −0.124230 0.0748006i
\(657\) −17.7292 −0.691682
\(658\) −3.78677 11.5991i −0.147624 0.452179i
\(659\) −36.6633 −1.42820 −0.714099 0.700045i \(-0.753163\pi\)
−0.714099 + 0.700045i \(0.753163\pi\)
\(660\) −31.9999 25.1068i −1.24560 0.977282i
\(661\) 13.6519 + 23.6458i 0.530998 + 0.919715i 0.999346 + 0.0361712i \(0.0115162\pi\)
−0.468348 + 0.883544i \(0.655151\pi\)
\(662\) −0.528590 + 1.93709i −0.0205442 + 0.0752870i
\(663\) 20.8514 + 12.0386i 0.809803 + 0.467540i
\(664\) −20.9534 + 20.3837i −0.813150 + 0.791041i
\(665\) −37.0282 25.2091i −1.43589 0.977569i
\(666\) 6.16114 + 6.21801i 0.238739 + 0.240943i
\(667\) 1.04941 + 0.605877i 0.0406333 + 0.0234596i
\(668\) −22.8240 40.3846i −0.883086 1.56253i
\(669\) 14.4857 8.36330i 0.560048 0.323344i
\(670\) 1.27278 + 10.1523i 0.0491718 + 0.392217i
\(671\) 19.9272 0.769281
\(672\) 32.0920 + 29.8973i 1.23797 + 1.15332i
\(673\) 4.86055i 0.187360i −0.995602 0.0936802i \(-0.970137\pi\)
0.995602 0.0936802i \(-0.0298631\pi\)
\(674\) −3.39275 12.8986i −0.130684 0.496837i
\(675\) −9.69897 36.6624i −0.373314 1.41114i
\(676\) 18.0292 10.1895i 0.693431 0.391903i
\(677\) −3.37606 1.94917i −0.129753 0.0749128i 0.433719 0.901048i \(-0.357201\pi\)
−0.563471 + 0.826136i \(0.690534\pi\)
\(678\) −25.8122 + 25.5761i −0.991310 + 0.982244i
\(679\) 15.3834 + 23.3802i 0.590360 + 0.897250i
\(680\) 25.6421 19.0570i 0.983330 0.730803i
\(681\) −27.0937 + 46.9276i −1.03823 + 1.79827i
\(682\) −7.66422 + 28.0865i −0.293478 + 1.07549i
\(683\) 15.0819 8.70755i 0.577094 0.333185i −0.182884 0.983135i \(-0.558543\pi\)
0.759978 + 0.649949i \(0.225210\pi\)
\(684\) −42.9835 + 72.8947i −1.64352 + 2.78720i
\(685\) −1.36805 + 10.2654i −0.0522706 + 0.392221i
\(686\) 23.7824 10.9727i 0.908015 0.418938i
\(687\) 28.0752 1.07113
\(688\) −11.0069 6.62740i −0.419633 0.252667i
\(689\) −15.3373 + 8.85497i −0.584303 + 0.337347i
\(690\) −11.2033 + 26.5813i −0.426503 + 1.01193i
\(691\) 12.1565 + 7.01858i 0.462456 + 0.266999i 0.713076 0.701086i \(-0.247301\pi\)
−0.250620 + 0.968085i \(0.580635\pi\)
\(692\) −31.3684 0.288196i −1.19245 0.0109556i
\(693\) 25.2208 + 38.3314i 0.958059 + 1.45609i
\(694\) −7.62836 + 7.55860i −0.289569 + 0.286920i
\(695\) 21.3640 + 16.4472i 0.810384 + 0.623877i
\(696\) −0.878039 + 3.10508i −0.0332820 + 0.117698i
\(697\) 4.06200 2.34520i 0.153859 0.0888306i
\(698\) 10.4764 2.75563i 0.396538 0.104302i
\(699\) 12.3269i 0.466245i
\(700\) 5.66547 25.8438i 0.214135 0.976804i
\(701\) 21.7579i 0.821786i −0.911684 0.410893i \(-0.865217\pi\)
0.911684 0.410893i \(-0.134783\pi\)
\(702\) −4.43788 16.8720i −0.167497 0.636794i
\(703\) −7.26311 + 4.19336i −0.273933 + 0.158156i
\(704\) −21.8355 + 11.8167i −0.822955 + 0.445357i
\(705\) 16.9326 + 13.0356i 0.637718 + 0.490949i
\(706\) 0.583772 + 0.589160i 0.0219706 + 0.0221733i
\(707\) −5.78548 + 11.5250i −0.217585 + 0.433442i
\(708\) 38.6584 + 0.355173i 1.45287 + 0.0133482i
\(709\) −26.5841 15.3484i −0.998388 0.576420i −0.0906173 0.995886i \(-0.528884\pi\)
−0.907771 + 0.419466i \(0.862217\pi\)
\(710\) 21.0617 + 8.87698i 0.790433 + 0.333147i
\(711\) 38.0631 21.9757i 1.42748 0.824155i
\(712\) 30.7098 7.77671i 1.15090 0.291445i
\(713\) 20.6473 0.773246
\(714\) −52.6548 + 17.1903i −1.97056 + 0.643331i
\(715\) −1.49100 + 11.1879i −0.0557601 + 0.418405i
\(716\) −6.21516 3.66486i −0.232271 0.136962i
\(717\) −54.6669 + 31.5620i −2.04157 + 1.17870i
\(718\) −17.3154 4.72500i −0.646204 0.176335i
\(719\) 11.7603 20.3694i 0.438585 0.759652i −0.558995 0.829171i \(-0.688813\pi\)
0.997581 + 0.0695187i \(0.0221463\pi\)
\(720\) −49.4143 7.51181i −1.84156 0.279949i
\(721\) −1.95675 33.4928i −0.0728731 1.24734i
\(722\) −38.1546 38.5068i −1.41997 1.43307i
\(723\) −22.0376 12.7234i −0.819588 0.473189i
\(724\) −6.93836 + 3.92132i −0.257862 + 0.145735i
\(725\) 1.88175 0.497815i 0.0698866 0.0184884i
\(726\) 5.48477 1.44267i 0.203559 0.0535425i
\(727\) 29.2877i 1.08622i 0.839661 + 0.543110i \(0.182754\pi\)
−0.839661 + 0.543110i \(0.817246\pi\)
\(728\) 2.62313 11.8852i 0.0972196 0.440494i
\(729\) −36.1543 −1.33905
\(730\) 9.95484 1.24803i 0.368445 0.0461916i
\(731\) 14.0516 8.11269i 0.519717 0.300059i
\(732\) 32.7633 18.5167i 1.21097 0.684395i
\(733\) 39.4427 + 22.7723i 1.45685 + 0.841113i 0.998855 0.0478408i \(-0.0152340\pi\)
0.457996 + 0.888954i \(0.348567\pi\)
\(734\) 26.5298 26.2872i 0.979234 0.970278i
\(735\) −23.5590 + 39.3583i −0.868986 + 1.45175i
\(736\) 12.1614 + 12.7333i 0.448276 + 0.469356i
\(737\) 8.69620 + 5.02076i 0.320329 + 0.184942i
\(738\) −7.07914 1.93175i −0.260587 0.0711086i
\(739\) −6.91988 11.9856i −0.254552 0.440897i 0.710222 0.703978i \(-0.248595\pi\)
−0.964774 + 0.263081i \(0.915261\pi\)
\(740\) −3.89715 3.05767i −0.143262 0.112402i
\(741\) 36.0898 1.32579
\(742\) 8.41481 39.8635i 0.308917 1.46343i
\(743\) −36.5334 −1.34028 −0.670141 0.742234i \(-0.733766\pi\)
−0.670141 + 0.742234i \(0.733766\pi\)
\(744\) 13.4973 + 53.3002i 0.494836 + 1.95408i
\(745\) −35.8439 + 14.7804i −1.31322 + 0.541512i
\(746\) 4.37973 16.0501i 0.160353 0.587636i
\(747\) −28.8775 + 50.0173i −1.05657 + 1.83004i
\(748\) 0.288053 31.3528i 0.0105323 1.14637i
\(749\) −1.35585 23.2075i −0.0495417 0.847984i
\(750\) 17.3307 + 42.9731i 0.632829 + 1.56915i
\(751\) 29.3811 + 16.9632i 1.07213 + 0.618996i 0.928763 0.370673i \(-0.120873\pi\)
0.143369 + 0.989669i \(0.454206\pi\)
\(752\) 11.4144 6.31336i 0.416240 0.230225i
\(753\) 28.4613 16.4322i 1.03719 0.598821i
\(754\) 0.865984 0.227781i 0.0315373 0.00829530i
\(755\) −5.73726 + 43.0505i −0.208800 + 1.56677i
\(756\) 35.7019 + 18.3347i 1.29846 + 0.666827i
\(757\) 31.2178 1.13463 0.567315 0.823501i \(-0.307982\pi\)
0.567315 + 0.823501i \(0.307982\pi\)
\(758\) −4.15261 + 1.09227i −0.150829 + 0.0396729i
\(759\) 14.1547 + 24.5167i 0.513783 + 0.889899i
\(760\) 19.0036 43.9557i 0.689335 1.59444i
\(761\) −17.6688 10.2011i −0.640493 0.369789i 0.144312 0.989532i \(-0.453903\pi\)
−0.784804 + 0.619744i \(0.787237\pi\)
\(762\) −16.9941 17.1509i −0.615631 0.621313i
\(763\) −7.35133 3.69033i −0.266136 0.133599i
\(764\) −18.4919 0.169894i −0.669013 0.00614654i
\(765\) 38.5047 50.0157i 1.39214 1.80832i
\(766\) −17.0801 4.66078i −0.617128 0.168401i
\(767\) −5.36403 9.29077i −0.193684 0.335470i
\(768\) −24.9205 + 39.7182i −0.899242 + 1.43321i
\(769\) 5.57448i 0.201021i −0.994936 0.100510i \(-0.967952\pi\)
0.994936 0.100510i \(-0.0320476\pi\)
\(770\) −16.8596 19.7475i −0.607579 0.711650i
\(771\) −33.3235 −1.20012
\(772\) 12.4244 21.0702i 0.447163 0.758334i
\(773\) 32.8342 18.9569i 1.18097 0.681831i 0.224728 0.974422i \(-0.427851\pi\)
0.956238 + 0.292591i \(0.0945174\pi\)
\(774\) −24.4887 6.68245i −0.880229