Properties

Label 280.2.ba.b.19.17
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 19.17
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.372297 - 1.36433i) q^{2} +(-1.46528 - 2.53794i) q^{3} +(-1.72279 + 1.01587i) q^{4} +(1.36405 - 1.77183i) q^{5} +(-2.91706 + 2.94399i) q^{6} +(-1.45426 - 2.21023i) q^{7} +(2.02737 + 1.97225i) q^{8} +(-2.79408 + 4.83948i) q^{9} +O(q^{10})\) \(q+(-0.372297 - 1.36433i) q^{2} +(-1.46528 - 2.53794i) q^{3} +(-1.72279 + 1.01587i) 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} +(-2.92519 - 1.20136i) q^{10} +(-1.55174 - 2.68769i) q^{11} +(5.10258 + 2.88380i) q^{12} -1.62644i q^{13} +(-2.47407 + 2.80695i) q^{14} +(-6.49549 - 0.865643i) q^{15} +(1.93602 - 3.50026i) q^{16} +(2.52573 + 4.37469i) q^{17} +(7.64287 + 2.01032i) q^{18} +(6.55731 + 3.78587i) q^{19} +(-0.550020 + 4.43818i) q^{20} +(-3.47853 + 6.92942i) q^{21} +(-3.08919 + 3.11770i) q^{22} +(-1.55633 + 2.69565i) q^{23} +(2.03478 - 8.03523i) q^{24} +(-1.27875 - 4.83371i) q^{25} +(-2.21901 + 0.605520i) q^{26} +7.58472 q^{27} +(4.75069 + 2.33043i) q^{28} -0.389298i q^{29} +(1.23723 + 9.18427i) q^{30} +(-3.31666 - 5.74462i) q^{31} +(-5.49629 - 1.33823i) 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} +(2.72390 - 10.3558i) q^{38} +(-4.12781 + 2.38319i) q^{39} +(6.25992 - 0.901912i) q^{40} -0.928523i q^{41} +(10.7491 + 2.16607i) q^{42} -3.21202i q^{43} +(5.40367 + 3.05396i) q^{44} +(4.76348 + 11.5519i) q^{45} +(4.25717 + 1.11977i) q^{46} +(-2.82412 - 1.63050i) q^{47} +(-11.7202 + 0.215377i) q^{48} +(-2.77026 + 6.42850i) q^{49} +(-6.11871 + 3.54421i) q^{50} +(7.40178 - 12.8203i) q^{51} +(1.65226 + 2.80202i) q^{52} +(-5.44437 - 9.42993i) q^{53} +(-2.82377 - 10.3481i) q^{54} +(-6.87877 - 0.916722i) q^{55} +(1.41081 - 7.34912i) q^{56} -22.1894i q^{57} +(-0.531131 + 0.144934i) q^{58} +(-5.71232 + 3.29801i) q^{59} +(12.0698 - 5.10726i) 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} +(12.4390 + 3.27186i) q^{66} +(-2.80208 + 1.61778i) q^{67} +(-8.79541 - 4.97086i) q^{68} +9.12183 q^{69} +(1.59869 + 8.21244i) q^{70} -7.22771i q^{71} +(-15.2093 + 4.30081i) q^{72} +(1.58632 + 2.74759i) q^{73} +(-1.51490 - 0.398468i) 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} +(-3.56105 - 8.20481i) q^{80} +(-2.73150 - 4.73109i) q^{81} +(-1.26681 + 0.345686i) q^{82} +10.3353 q^{83} +(-1.04661 - 15.4717i) q^{84} +(11.1964 + 1.49213i) q^{85} +(-4.38226 + 1.19582i) q^{86} +(-0.988013 + 0.570429i) q^{87} +(2.15485 - 8.50936i) q^{88} +(-9.69972 - 5.60014i) q^{89} +(13.9872 - 10.7997i) q^{90} +(-3.59482 + 2.36527i) q^{91} +(-0.0571926 - 6.22506i) q^{92} +(-9.71964 + 16.8349i) q^{93} +(-1.17314 + 4.46005i) q^{94} +(15.6524 - 6.45433i) q^{95} +(4.65725 + 15.9101i) q^{96} +10.5782 q^{97} +(9.80196 + 1.38624i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.372297 1.36433i −0.263253 0.964727i
\(3\) −1.46528 2.53794i −0.845978 1.46528i −0.884769 0.466030i \(-0.845684\pi\)
0.0387905 0.999247i \(-0.487650\pi\)
\(4\) −1.72279 + 1.01587i −0.861395 + 0.507935i
\(5\) 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
\(10\) −2.92519 1.20136i −0.925026 0.379905i
\(11\) −1.55174 2.68769i −0.467867 0.810369i 0.531459 0.847084i \(-0.321644\pi\)
−0.999326 + 0.0367148i \(0.988311\pi\)
\(12\) 5.10258 + 2.88380i 1.47299 + 0.832481i
\(13\) 1.62644i 0.451094i −0.974232 0.225547i \(-0.927583\pi\)
0.974232 0.225547i \(-0.0724170\pi\)
\(14\) −2.47407 + 2.80695i −0.661223 + 0.750189i
\(15\) −6.49549 0.865643i −1.67713 0.223508i
\(16\) 1.93602 3.50026i 0.484004 0.875066i
\(17\) 2.52573 + 4.37469i 0.612579 + 1.06102i 0.990804 + 0.135304i \(0.0432011\pi\)
−0.378225 + 0.925714i \(0.623466\pi\)
\(18\) 7.64287 + 2.01032i 1.80144 + 0.473837i
\(19\) 6.55731 + 3.78587i 1.50435 + 0.868537i 0.999987 + 0.00504564i \(0.00160608\pi\)
0.504363 + 0.863492i \(0.331727\pi\)
\(20\) −0.550020 + 4.43818i −0.122988 + 0.992408i
\(21\) −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 −0.981415 0.191899i \(-0.938535\pi\)
0.656897 + 0.753980i \(0.271869\pi\)
\(24\) 2.03478 8.03523i 0.415348 1.64018i
\(25\) −1.27875 4.83371i −0.255750 0.966743i
\(26\) −2.21901 + 0.605520i −0.435183 + 0.118752i
\(27\) 7.58472 1.45968
\(28\) 4.75069 + 2.33043i 0.897797 + 0.440410i
\(29\) 0.389298i 0.0722908i −0.999347 0.0361454i \(-0.988492\pi\)
0.999347 0.0361454i \(-0.0115079\pi\)
\(30\) 1.23723 + 9.18427i 0.225886 + 1.67681i
\(31\) −3.31666 5.74462i −0.595689 1.03176i −0.993449 0.114274i \(-0.963546\pi\)
0.397760 0.917489i \(-0.369788\pi\)
\(32\) −5.49629 1.33823i −0.971615 0.236567i
\(33\) −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 −0.816905 0.576772i \(-0.804312\pi\)
0.907952 + 0.419074i \(0.137645\pi\)
\(38\) 2.72390 10.3558i 0.441876 1.67993i
\(39\) −4.12781 + 2.38319i −0.660979 + 0.381616i
\(40\) 6.25992 0.901912i 0.989780 0.142605i
\(41\) 0.928523i 0.145011i −0.997368 0.0725055i \(-0.976901\pi\)
0.997368 0.0725055i \(-0.0230995\pi\)
\(42\) 10.7491 + 2.16607i 1.65862 + 0.334231i
\(43\) 3.21202i 0.489829i −0.969545 0.244914i \(-0.921240\pi\)
0.969545 0.244914i \(-0.0787598\pi\)
\(44\) 5.40367 + 3.05396i 0.814633 + 0.460402i
\(45\) 4.76348 + 11.5519i 0.710098 + 1.72206i
\(46\) 4.25717 + 1.11977i 0.627685 + 0.165101i
\(47\) −2.82412 1.63050i −0.411940 0.237833i 0.279683 0.960092i \(-0.409771\pi\)
−0.691623 + 0.722259i \(0.743104\pi\)
\(48\) −11.7202 + 0.215377i −1.69167 + 0.0310870i
\(49\) −2.77026 + 6.42850i −0.395751 + 0.918358i
\(50\) −6.11871 + 3.54421i −0.865316 + 0.501227i
\(51\) 7.40178 12.8203i 1.03646 1.79520i
\(52\) 1.65226 + 2.80202i 0.229127 + 0.388571i
\(53\) −5.44437 9.42993i −0.747842 1.29530i −0.948855 0.315712i \(-0.897757\pi\)
0.201013 0.979589i \(-0.435577\pi\)
\(54\) −2.82377 10.3481i −0.384266 1.40819i
\(55\) −6.87877 0.916722i −0.927533 0.123611i
\(56\) 1.41081 7.34912i 0.188527 0.982068i
\(57\) 22.1894i 2.93905i
\(58\) −0.531131 + 0.144934i −0.0697409 + 0.0190308i
\(59\) −5.71232 + 3.29801i −0.743681 + 0.429364i −0.823406 0.567453i \(-0.807929\pi\)
0.0797253 + 0.996817i \(0.474596\pi\)
\(60\) 12.0698 5.10726i 1.55820 0.659344i
\(61\) 3.21046 5.56068i 0.411058 0.711973i −0.583948 0.811791i \(-0.698493\pi\)
0.995006 + 0.0998183i \(0.0318262\pi\)
\(62\) −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
\(66\) 12.4390 + 3.27186i 1.53114 + 0.402739i
\(67\) −2.80208 + 1.61778i −0.342329 + 0.197644i −0.661301 0.750120i \(-0.729996\pi\)
0.318973 + 0.947764i \(0.396662\pi\)
\(68\) −8.79541 4.97086i −1.06660 0.602805i
\(69\) 9.12183 1.09814
\(70\) 1.59869 + 8.21244i 0.191080 + 0.981575i
\(71\) 7.22771i 0.857771i −0.903359 0.428886i \(-0.858906\pi\)
0.903359 0.428886i \(-0.141094\pi\)
\(72\) −15.2093 + 4.30081i −1.79243 + 0.506855i
\(73\) 1.58632 + 2.74759i 0.185665 + 0.321581i 0.943800 0.330516i \(-0.107223\pi\)
−0.758136 + 0.652097i \(0.773890\pi\)
\(74\) −1.51490 0.398468i −0.176104 0.0463210i
\(75\) −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 0.831568 0.555423i \(-0.187444\pi\)
−0.0652264 + 0.997870i \(0.520777\pi\)
\(80\) −3.56105 8.20481i −0.398138 0.917326i
\(81\) −2.73150 4.73109i −0.303500 0.525677i
\(82\) −1.26681 + 0.345686i −0.139896 + 0.0381746i
\(83\) 10.3353 1.13444 0.567221 0.823566i \(-0.308019\pi\)
0.567221 + 0.823566i \(0.308019\pi\)
\(84\) −1.04661 15.4717i −0.114194 1.68810i
\(85\) 11.1964 + 1.49213i 1.21442 + 0.161844i
\(86\) −4.38226 + 1.19582i −0.472551 + 0.128949i
\(87\) −0.988013 + 0.570429i −0.105926 + 0.0611565i
\(88\) 2.15485 8.50936i 0.229707 0.907101i
\(89\) −9.69972 5.60014i −1.02817 0.593613i −0.111709 0.993741i \(-0.535632\pi\)
−0.916459 + 0.400128i \(0.868966\pi\)
\(90\) 13.9872 10.7997i 1.47438 1.13839i
\(91\) −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
\(94\) −1.17314 + 4.46005i −0.121000 + 0.460020i
\(95\) 15.6524 6.45433i 1.60590 0.662200i
\(96\) 4.65725 + 15.9101i 0.475329 + 1.62382i
\(97\) 10.5782 1.07405 0.537025 0.843566i \(-0.319548\pi\)
0.537025 + 0.843566i \(0.319548\pi\)
\(98\) 9.80196 + 1.38624i 0.990147 + 0.140031i
\(99\) 17.3427 1.74301
\(100\) 7.11345 + 7.02843i 0.711345 + 0.702843i
\(101\) −2.43704 4.22108i −0.242495 0.420013i 0.718929 0.695083i \(-0.244632\pi\)
−0.961424 + 0.275070i \(0.911299\pi\)
\(102\) −20.2467 5.32553i −2.00472 0.527306i
\(103\) 10.9818 + 6.34034i 1.08207 + 0.624732i 0.931454 0.363860i \(-0.118541\pi\)
0.150614 + 0.988593i \(0.451875\pi\)
\(104\) 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 \(0.806292\pi\)
\(108\) −13.0669 + 7.70510i −1.25736 + 0.741423i
\(109\) 2.69246 1.55449i 0.257891 0.148893i −0.365481 0.930819i \(-0.619096\pi\)
0.623372 + 0.781925i \(0.285762\pi\)
\(110\) 1.31023 + 9.72621i 0.124926 + 0.927357i
\(111\) −3.24599 −0.308095
\(112\) −10.5519 + 0.811248i −0.997058 + 0.0766557i
\(113\) 8.76776i 0.824801i 0.911003 + 0.412401i \(0.135310\pi\)
−0.911003 + 0.412401i \(0.864690\pi\)
\(114\) −30.2736 + 8.26103i −2.83538 + 0.773716i
\(115\) 2.65331 + 6.43454i 0.247423 + 0.600024i
\(116\) 0.395476 + 0.670679i 0.0367190 + 0.0622710i
\(117\) 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
\(120\) −11.4615 14.5657i −1.04629 1.32966i
\(121\) 0.684211 1.18509i 0.0622010 0.107735i
\(122\) −8.78185 2.30991i −0.795071 0.209129i
\(123\) −2.35653 + 1.36054i −0.212481 + 0.122676i
\(124\) 11.5497 + 6.52748i 1.03719 + 0.586185i
\(125\) −10.3088 4.32769i −0.922046 0.387080i
\(126\) −6.67145 19.8161i −0.594340 1.76535i
\(127\) 5.82575 0.516952 0.258476 0.966018i \(-0.416780\pi\)
0.258476 + 0.966018i \(0.416780\pi\)
\(128\) 10.8284 3.27803i 0.957106 0.289740i
\(129\) −8.15190 + 4.70650i −0.717735 + 0.414384i
\(130\) −1.95395 + 4.75766i −0.171373 + 0.417274i
\(131\) 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
\(136\) −3.50739 + 13.8505i −0.300756 + 1.18767i
\(137\) 4.01092 2.31571i 0.342676 0.197844i −0.318779 0.947829i \(-0.603273\pi\)
0.661455 + 0.749985i \(0.269939\pi\)
\(138\) −3.39603 12.4452i −0.289089 1.05940i
\(139\) 12.0576i 1.02271i −0.859368 0.511357i \(-0.829143\pi\)
0.859368 0.511357i \(-0.170857\pi\)
\(140\) 10.6093 5.23860i 0.896649 0.442742i
\(141\) 9.55656i 0.804808i
\(142\) −9.86098 + 2.69085i −0.827515 + 0.225811i
\(143\) −4.37138 + 2.52382i −0.365553 + 0.211052i
\(144\) 11.5301 + 19.1493i 0.960841 + 1.59578i
\(145\) −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 −0.263110 0.964766i \(-0.584748\pi\)
−0.967067 + 0.254523i \(0.918082\pi\)
\(150\) 17.9606 + 10.3356i 1.46648 + 0.843900i
\(151\) −16.8208 + 9.71149i −1.36886 + 0.790310i −0.990782 0.135465i \(-0.956747\pi\)
−0.378075 + 0.925775i \(0.623414\pi\)
\(152\) 5.82743 + 20.6080i 0.472667 + 1.67153i
\(153\) −28.2283 −2.28212
\(154\) 11.3833 + 2.29388i 0.917295 + 0.184846i
\(155\) −14.7025 1.95938i −1.18094 0.157381i
\(156\) 4.69034 8.29906i 0.375528 0.664457i
\(157\) 15.5317 8.96725i 1.23957 0.715665i 0.270562 0.962703i \(-0.412791\pi\)
0.969006 + 0.247038i \(0.0794572\pi\)
\(158\) 2.82945 10.7571i 0.225099 0.855786i
\(159\) −15.9550 + 27.6349i −1.26532 + 2.19159i
\(160\) −9.86830 + 7.91307i −0.780158 + 0.625583i
\(161\) 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 \(0.901515\pi\)
\(164\) 0.943259 + 1.59965i 0.0736562 + 0.124912i
\(165\) 7.75273 + 18.8011i 0.603549 + 1.46367i
\(166\) −3.84778 14.1007i −0.298646 1.09443i
\(167\) 23.1940i 1.79481i 0.441210 + 0.897404i \(0.354549\pi\)
−0.441210 + 0.897404i \(0.645451\pi\)
\(168\) −20.7188 + 7.18797i −1.59849 + 0.554564i
\(169\) 10.3547 0.796514
\(170\) −2.13263 15.8311i −0.163565 1.21419i
\(171\) −36.6433 + 21.1560i −2.80218 + 1.61784i
\(172\) 3.26300 + 5.53364i 0.248801 + 0.421936i
\(173\) 13.5835 + 7.84243i 1.03273 + 0.596249i 0.917766 0.397121i \(-0.129991\pi\)
0.114967 + 0.993369i \(0.463324\pi\)
\(174\) 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
\(178\) −4.02926 + 15.3185i −0.302006 + 1.14817i
\(179\) −1.80380 3.12428i −0.134823 0.233520i 0.790707 0.612195i \(-0.209713\pi\)
−0.925530 + 0.378675i \(0.876380\pi\)
\(180\) −19.9417 15.0624i −1.48637 1.12269i
\(181\) 3.98490 0.296195 0.148098 0.988973i \(-0.452685\pi\)
0.148098 + 0.988973i \(0.452685\pi\)
\(182\) 4.56535 + 4.02394i 0.338406 + 0.298274i
\(183\) −18.8169 −1.39098
\(184\) −8.47175 + 2.39560i −0.624546 + 0.176606i
\(185\) −0.944176 2.28972i −0.0694172 0.168344i
\(186\) 26.5870 + 6.99322i 1.94945 + 0.512767i
\(187\) 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
\(190\) −14.6332 18.9521i −1.06160 1.37493i
\(191\) 8.00755 + 4.62316i 0.579406 + 0.334520i 0.760897 0.648872i \(-0.224759\pi\)
−0.181491 + 0.983393i \(0.558092\pi\)
\(192\) 19.9727 12.2773i 1.44141 0.886037i
\(193\) 10.5917 6.11514i 0.762410 0.440177i −0.0677506 0.997702i \(-0.521582\pi\)
0.830160 + 0.557525i \(0.188249\pi\)
\(194\) −3.93821 14.4321i −0.282747 1.03616i
\(195\) −1.40792 + 10.5646i −0.100823 + 0.756544i
\(196\) −1.75795 13.8892i −0.125568 0.992085i
\(197\) −7.38753 −0.526340 −0.263170 0.964750i \(-0.584768\pi\)
−0.263170 + 0.964750i \(0.584768\pi\)
\(198\) −6.45663 23.6612i −0.458853 1.68153i
\(199\) 2.81699 + 4.87917i 0.199691 + 0.345875i 0.948428 0.316992i \(-0.102673\pi\)
−0.748737 + 0.662867i \(0.769339\pi\)
\(200\) 6.94079 12.3217i 0.490788 0.871279i
\(201\) 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
\(206\) 4.56183 17.3433i 0.317838 1.20836i
\(207\) −8.69702 15.0637i −0.604485 1.04700i
\(208\) −5.69298 3.14882i −0.394737 0.218331i
\(209\) 23.4987i 1.62544i
\(210\) 18.5001 16.0909i 1.27663 1.11038i
\(211\) 5.14042 0.353881 0.176940 0.984222i \(-0.443380\pi\)
0.176940 + 0.984222i \(0.443380\pi\)
\(212\) 18.9591 + 10.7150i 1.30212 + 0.735911i
\(213\) −18.3435 + 10.5906i −1.25687 + 0.725656i
\(214\) −3.16094 + 12.0173i −0.216077 + 0.821487i
\(215\) −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
\(220\) 12.7820 5.40862i 0.861759 0.364649i
\(221\) 7.11519 4.10795i 0.478619 0.276331i
\(222\) 1.20847 + 4.42860i 0.0811072 + 0.297228i
\(223\) 5.70766i 0.382213i −0.981569 0.191106i \(-0.938792\pi\)
0.981569 0.191106i \(-0.0612076\pi\)
\(224\) 5.03523 + 14.0942i 0.336431 + 0.941708i
\(225\) 26.9656 + 7.31728i 1.79771 + 0.487818i
\(226\) 11.9621 3.26421i 0.795708 0.217132i
\(227\) −9.24524 16.0132i −0.613628 1.06283i −0.990624 0.136620i \(-0.956376\pi\)
0.376996 0.926215i \(-0.376957\pi\)
\(228\) 22.5415 + 38.2277i 1.49285 + 2.53169i
\(229\) 4.79008 8.29666i 0.316537 0.548258i −0.663226 0.748419i \(-0.730813\pi\)
0.979763 + 0.200161i \(0.0641465\pi\)
\(230\) 7.79102 6.01555i 0.513724 0.396654i
\(231\) 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 \(0.622669\pi\)
\(234\) 3.26967 12.4307i 0.213745 0.812621i
\(235\) −6.74120 + 2.77976i −0.439747 + 0.181332i
\(236\) 6.49078 11.4848i 0.422514 0.747594i
\(237\) 23.0492i 1.49720i
\(238\) −18.5284 3.73369i −1.20102 0.242019i
\(239\) 21.5399i 1.39330i 0.717410 + 0.696651i \(0.245327\pi\)
−0.717410 + 0.696651i \(0.754673\pi\)
\(240\) −15.6054 + 21.0600i −1.00732 + 1.35942i
\(241\) 7.51995 4.34165i 0.484403 0.279670i −0.237847 0.971303i \(-0.576442\pi\)
0.722249 + 0.691633i \(0.243108\pi\)
\(242\) −1.87158 0.492285i −0.120310 0.0316453i
\(243\) 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
\(248\) 4.60572 18.1877i 0.292464 1.15492i
\(249\) −15.1440 26.2302i −0.959713 1.66227i
\(250\) −2.06647 + 15.6758i −0.130695 + 0.991423i
\(251\) 11.2144i 0.707844i 0.935275 + 0.353922i \(0.115152\pi\)
−0.935275 + 0.353922i \(0.884848\pi\)
\(252\) −24.5519 + 16.4795i −1.54662 + 1.03811i
\(253\) 9.66008 0.607324
\(254\) −2.16891 7.94825i −0.136089 0.498717i
\(255\) −12.6189 30.6021i −0.790228 1.91638i
\(256\) −8.50369 13.5531i −0.531481 0.847070i
\(257\) 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
\(260\) 7.21846 + 0.894577i 0.447670 + 0.0554793i
\(261\) 1.88400 + 1.08773i 0.116617 + 0.0673287i
\(262\) 6.18933 23.5307i 0.382378 1.45373i
\(263\) −9.68088 16.7678i −0.596949 1.03395i −0.993269 0.115833i \(-0.963046\pi\)
0.396320 0.918112i \(-0.370287\pi\)
\(264\) −24.7537 + 6.99972i −1.52348 + 0.430803i
\(265\) −24.1346 3.21638i −1.48258 0.197580i
\(266\) −26.8500 + 9.03956i −1.64628 + 0.554251i
\(267\) 32.8230i 2.00874i
\(268\) 3.18394 5.63365i 0.194490 0.344130i
\(269\) −0.761782 1.31945i −0.0464467 0.0804480i 0.841867 0.539684i \(-0.181456\pi\)
−0.888314 + 0.459236i \(0.848123\pi\)
\(270\) −22.1867 9.11202i −1.35024 0.554540i
\(271\) 9.32172 16.1457i 0.566254 0.980781i −0.430677 0.902506i \(-0.641725\pi\)
0.996932 0.0782754i \(-0.0249414\pi\)
\(272\) 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
\(276\) −15.7150 + 9.26660i −0.945932 + 0.557784i
\(277\) 4.74717 + 8.22234i 0.285230 + 0.494033i 0.972665 0.232213i \(-0.0745967\pi\)
−0.687435 + 0.726246i \(0.741263\pi\)
\(278\) −16.4506 + 4.48901i −0.986640 + 0.269233i
\(279\) 37.0680 2.21920
\(280\) −11.0970 12.5243i −0.663171 0.748468i
\(281\) −9.11431 −0.543714 −0.271857 0.962338i \(-0.587638\pi\)
−0.271857 + 0.962338i \(0.587638\pi\)
\(282\) 13.0383 3.55787i 0.776419 0.211868i
\(283\) 7.77457 + 13.4659i 0.462150 + 0.800467i 0.999068 0.0431671i \(-0.0137448\pi\)
−0.536918 + 0.843635i \(0.680411\pi\)
\(284\) 7.34241 + 12.4518i 0.435692 + 0.738880i
\(285\) −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
\(290\) −0.467689 + 1.13877i −0.0274636 + 0.0668708i
\(291\) −15.4999 26.8467i −0.908623 1.57378i
\(292\) −5.52409 3.12202i −0.323273 0.182702i
\(293\) 8.72422i 0.509674i −0.966984 0.254837i \(-0.917978\pi\)
0.966984 0.254837i \(-0.0820219\pi\)
\(294\) −10.8444 26.9079i −0.632459 1.56930i
\(295\) −1.94837 + 14.6199i −0.113438 + 0.851203i
\(296\) 3.01466 0.852470i 0.175223 0.0495488i
\(297\) −11.7695 20.3854i −0.682936 1.18288i
\(298\) −6.23773 + 23.7147i −0.361342 + 1.37376i
\(299\) 4.38432 + 2.53129i 0.253552 + 0.146388i
\(300\) 7.41453 28.3521i 0.428078 1.63691i
\(301\) −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
\(304\) 25.9466 15.6228i 1.48814 0.896031i
\(305\) −5.47336 13.2734i −0.313403 0.760034i
\(306\) 10.5093 + 38.5127i 0.600776 + 2.20162i
\(307\) −7.13157 −0.407020 −0.203510 0.979073i \(-0.565235\pi\)
−0.203510 + 0.979073i \(0.565235\pi\)
\(308\) −1.10837 16.3846i −0.0631550 0.933600i
\(309\) 37.1614i 2.11404i
\(310\) 2.80046 + 20.7886i 0.159056 + 1.18071i
\(311\) 15.8284 + 27.4155i 0.897545 + 1.55459i 0.830623 + 0.556835i \(0.187984\pi\)
0.0669214 + 0.997758i \(0.478682\pi\)
\(312\) −13.0689 3.30946i −0.739878 0.187361i
\(313\) 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 \(0.334010\pi\)
−0.999998 + 0.00212719i \(0.999323\pi\)
\(318\) 43.6432 + 11.4795i 2.44739 + 0.643741i
\(319\) −1.04631 + 0.604089i −0.0585823 + 0.0338225i
\(320\) 14.4700 + 10.5176i 0.808896 + 0.587952i
\(321\) 25.7495i 1.43720i
\(322\) −3.71607 11.0378i −0.207089 0.615111i
\(323\) 38.2483i 2.12819i
\(324\) 9.51197 + 5.37583i 0.528443 + 0.298657i
\(325\) −7.86177 + 2.07982i −0.436092 + 0.115367i
\(326\) −6.17896 + 23.4913i −0.342221 + 1.30106i
\(327\) −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
\(330\) 22.7646 17.5769i 1.25315 0.967575i
\(331\) 0.709904 1.22959i 0.0390199 0.0675844i −0.845856 0.533411i \(-0.820910\pi\)
0.884876 + 0.465827i \(0.154243\pi\)
\(332\) −17.8055 + 10.4993i −0.977203 + 0.576223i
\(333\) 3.09482 + 5.36038i 0.169595 + 0.293747i
\(334\) 31.6443 8.63506i 1.73150 0.472489i
\(335\) −0.955739 + 7.17154i −0.0522176 + 0.391823i
\(336\) 17.5203 + 25.5912i 0.955811 + 1.39612i
\(337\) 9.43095i 0.513737i 0.966446 + 0.256868i \(0.0826907\pi\)
−0.966446 + 0.256868i \(0.917309\pi\)
\(338\) −3.85501 14.1272i −0.209685 0.768418i
\(339\) 22.2520 12.8472i 1.20856 0.697764i
\(340\) −20.8049 + 8.80348i −1.12830 + 0.477436i
\(341\) −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
\(346\) 5.64257 21.4521i 0.303347 1.15327i
\(347\) 6.57622 3.79678i 0.353030 0.203822i −0.312989 0.949757i \(-0.601330\pi\)
0.666019 + 0.745935i \(0.267997\pi\)
\(348\) 1.12266 1.98642i 0.0601807 0.106483i
\(349\) 7.65991 0.410026 0.205013 0.978759i \(-0.434276\pi\)
0.205013 + 0.978759i \(0.434276\pi\)
\(350\) 16.7317 + 8.36956i 0.894348 + 0.447372i
\(351\) 12.3361i 0.658454i
\(352\) 4.93206 + 16.8489i 0.262880 + 0.898049i
\(353\) −0.293236 0.507900i −0.0156074 0.0270328i 0.858116 0.513455i \(-0.171635\pi\)
−0.873724 + 0.486423i \(0.838302\pi\)
\(354\) 6.95390 26.4375i 0.369596 1.40514i
\(355\) −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 0.181079 0.983469i \(-0.442041\pi\)
−0.761169 + 0.648553i \(0.775374\pi\)
\(360\) −13.1259 + 32.8148i −0.691796 + 1.72949i
\(361\) 19.1656 + 33.1957i 1.00871 + 1.74714i
\(362\) −1.48356 5.43671i −0.0779744 0.285747i
\(363\) −4.01024 −0.210483
\(364\) 3.79031 7.72674i 0.198666 0.404991i
\(365\) 7.03206 + 0.937151i 0.368075 + 0.0490527i
\(366\) 7.00546 + 25.6724i 0.366181 + 1.34192i
\(367\) 22.8707 13.2044i 1.19384 0.689264i 0.234665 0.972076i \(-0.424601\pi\)
0.959175 + 0.282812i \(0.0912674\pi\)
\(368\) 6.42239 + 10.6664i 0.334790 + 0.556024i
\(369\) 4.49357 + 2.59436i 0.233926 + 0.135057i
\(370\) −2.77242 + 2.14062i −0.144131 + 0.111286i
\(371\) −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 −0.672603 0.740004i \(-0.734824\pi\)
0.977163 + 0.212489i \(0.0681570\pi\)
\(374\) −21.4414 5.63978i −1.10871 0.291626i
\(375\) 4.12185 + 32.5043i 0.212851 + 1.67851i
\(376\) −2.50977 8.87549i −0.129431 0.457719i
\(377\) −0.633171 −0.0326100
\(378\) −18.7651 + 21.2900i −0.965175 + 1.09504i
\(379\) 3.03621 0.155960 0.0779799 0.996955i \(-0.475153\pi\)
0.0779799 + 0.996955i \(0.475153\pi\)
\(380\) −20.4090 + 27.0203i −1.04696 + 1.38611i
\(381\) −8.53634 14.7854i −0.437330 0.757478i
\(382\) 3.32633 12.6461i 0.170190 0.647032i
\(383\) −10.8418 6.25951i −0.553989 0.319846i 0.196740 0.980456i \(-0.436964\pi\)
−0.750729 + 0.660610i \(0.770298\pi\)
\(384\) −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
\(388\) −18.2240 + 10.7460i −0.925181 + 0.545548i
\(389\) −21.3594 + 12.3319i −1.08297 + 0.625251i −0.931695 0.363242i \(-0.881670\pi\)
−0.151271 + 0.988492i \(0.548337\pi\)
\(390\) 14.9377 2.01228i 0.756400 0.101896i
\(391\) −15.7235 −0.795170
\(392\) −18.2950 + 7.56932i −0.924035 + 0.382309i
\(393\) 50.4193i 2.54332i
\(394\) 2.75035 + 10.0790i 0.138561 + 0.507774i
\(395\) 16.2589 6.70442i 0.818073 0.337336i
\(396\) −29.8779 + 17.6179i −1.50142 + 0.885335i
\(397\) −19.5980 11.3149i −0.983597 0.567880i −0.0802429 0.996775i \(-0.525570\pi\)
−0.903354 + 0.428895i \(0.858903\pi\)
\(398\) 5.60804 5.65980i 0.281106 0.283700i
\(399\) −49.0437 + 32.2691i −2.45526 + 1.61548i
\(400\) −19.3950 4.88218i −0.969748 0.244109i
\(401\) 11.9623 20.7194i 0.597371 1.03468i −0.395837 0.918321i \(-0.629546\pi\)
0.993208 0.116355i \(-0.0371212\pi\)
\(402\) 3.41112 12.9685i 0.170131 0.646808i
\(403\) −9.34330 + 5.39436i −0.465423 + 0.268712i
\(404\) 8.48659 + 4.79632i 0.422223 + 0.238626i
\(405\) −12.1086 1.61369i −0.601680 0.0801848i
\(406\) 1.09274 + 0.963150i 0.0542318 + 0.0478004i
\(407\) −3.43752 −0.170392
\(408\) 40.2909 11.3933i 1.99470 0.564051i
\(409\) −25.1282 + 14.5078i −1.24251 + 0.717364i −0.969605 0.244676i \(-0.921318\pi\)
−0.272907 + 0.962040i \(0.587985\pi\)
\(410\) −1.11549 + 2.71610i −0.0550904 + 0.134139i
\(411\) −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
\(416\) −2.17655 + 8.93940i −0.106714 + 0.438290i
\(417\) −30.6015 + 17.6678i −1.49856 + 0.865194i
\(418\) −32.0600 + 8.74849i −1.56810 + 0.427902i
\(419\) 18.1727i 0.887794i 0.896078 + 0.443897i \(0.146404\pi\)
−0.896078 + 0.443897i \(0.853596\pi\)
\(420\) −28.8408 19.2497i −1.40729 0.939289i
\(421\) 30.9941i 1.51056i 0.655403 + 0.755279i \(0.272499\pi\)
−0.655403 + 0.755279i \(0.727501\pi\)
\(422\) −1.91376 7.01322i −0.0931603 0.341398i
\(423\) 15.7816 9.11150i 0.767327 0.443016i
\(424\) 7.56041 29.8556i 0.367166 1.44992i
\(425\) 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
\(430\) −3.85881 + 9.39577i −0.186088 + 0.453104i
\(431\) 17.6956 10.2166i 0.852369 0.492115i −0.00908058 0.999959i \(-0.502890\pi\)
0.861449 + 0.507843i \(0.169557\pi\)
\(432\) 14.6841 26.5485i 0.706491 1.27732i
\(433\) −2.57285 −0.123643 −0.0618216 0.998087i \(-0.519691\pi\)
−0.0618216 + 0.998087i \(0.519691\pi\)
\(434\) 24.3305 + 4.90289i 1.16790 + 0.235346i
\(435\) −0.336993 + 2.52868i −0.0161576 + 0.121241i
\(436\) −3.05938 + 5.41326i −0.146518 + 0.259248i
\(437\) −20.4107 + 11.7841i −0.976377 + 0.563711i
\(438\) −12.7162 3.34478i −0.607606 0.159820i
\(439\) 7.66013 13.2677i 0.365598 0.633234i −0.623274 0.782003i \(-0.714198\pi\)
0.988872 + 0.148769i \(0.0475312\pi\)
\(440\) −12.1378 15.4252i −0.578648 0.735367i
\(441\) −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 \(0.712627\pi\)
\(444\) 5.59216 3.29750i 0.265392 0.156493i
\(445\) −23.1534 + 9.54739i −1.09757 + 0.452590i
\(446\) −7.78712 + 2.12494i −0.368731 + 0.100619i
\(447\) 50.8136i 2.40340i
\(448\) 17.3545 12.1169i 0.819925 0.572472i
\(449\) −9.93819 −0.469012 −0.234506 0.972115i \(-0.575347\pi\)
−0.234506 + 0.972115i \(0.575347\pi\)
\(450\) −0.0560247 39.5142i −0.00264103 1.86272i
\(451\) −2.49558 + 1.44083i −0.117512 + 0.0678458i
\(452\) −8.90691 15.1050i −0.418946 0.710480i
\(453\) 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 \(0.808493\pi\)
\(458\) −13.1027 3.44643i −0.612249 0.161041i
\(459\) 19.1569 + 33.1808i 0.894170 + 1.54875i
\(460\) −11.1078 8.38995i −0.517902 0.391183i
\(461\) −17.6061 −0.819998 −0.409999 0.912086i \(-0.634471\pi\)
−0.409999 + 0.912086i \(0.634471\pi\)
\(462\) −10.8580 32.2513i −0.505161 1.50047i
\(463\) −28.5438 −1.32654 −0.663271 0.748379i \(-0.730832\pi\)
−0.663271 + 0.748379i \(0.730832\pi\)
\(464\) −1.36265 0.753687i −0.0632592 0.0349890i
\(465\) 16.5705 + 40.1851i 0.768440 + 1.86354i
\(466\) 1.51321 5.75296i 0.0700981 0.266501i
\(467\) −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
\(470\) 6.30224 + 8.16232i 0.290701 + 0.376500i
\(471\) −45.5166 26.2790i −2.09729 1.21087i
\(472\) −18.0855 4.57983i −0.832452 0.210804i
\(473\) −8.63292 + 4.98422i −0.396942 + 0.229175i
\(474\) −31.4467 + 8.58112i −1.44439 + 0.394144i
\(475\) 9.91463 36.5374i 0.454914 1.67645i
\(476\) 1.80406 + 26.6688i 0.0826889 + 1.22236i
\(477\) 60.8480 2.78604
\(478\) 29.3876 8.01924i 1.34416 0.366791i
\(479\) 6.58753 + 11.4099i 0.300992 + 0.521333i 0.976361 0.216147i \(-0.0693490\pi\)
−0.675369 + 0.737480i \(0.736016\pi\)
\(480\) 34.5427 + 13.4503i 1.57665 + 0.613918i
\(481\) −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
\(486\) −9.22450 2.42634i −0.418432 0.110061i
\(487\) 0.665258 + 1.15226i 0.0301457 + 0.0522139i 0.880705 0.473666i \(-0.157070\pi\)
−0.850559 + 0.525880i \(0.823736\pi\)
\(488\) 17.4759 4.94174i 0.791095 0.223702i
\(489\) 50.3349i 2.27622i
\(490\) 15.8265 15.4765i 0.714968 0.699157i
\(491\) 43.7619 1.97495 0.987474 0.157779i \(-0.0504335\pi\)
0.987474 + 0.157779i \(0.0504335\pi\)
\(492\) 2.67767 4.73786i 0.120719 0.213599i
\(493\) 1.70306 0.983260i 0.0767018 0.0442838i
\(494\) −16.8431 4.43028i −0.757808 0.199328i
\(495\) 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 \(0.928351\pi\)
\(500\) 22.1563 3.01669i 0.990858 0.134911i
\(501\) 58.8649 33.9857i 2.62989 1.51837i
\(502\) 15.3001 4.17507i 0.682876 0.186342i
\(503\) 9.86442i 0.439833i −0.975519 0.219916i \(-0.929422\pi\)
0.975519 0.219916i \(-0.0705785\pi\)
\(504\) 31.6241 + 27.3616i 1.40865 + 1.21878i
\(505\) −10.8033 1.43973i −0.480739 0.0640673i
\(506\) −3.59642 13.1795i −0.159880 0.585902i
\(507\) −15.1725 26.2795i −0.673833 1.16711i
\(508\) −10.0366 + 5.91821i −0.445300 + 0.262578i
\(509\) −7.69465 + 13.3275i −0.341059 + 0.590732i −0.984630 0.174655i \(-0.944119\pi\)
0.643570 + 0.765387i \(0.277452\pi\)
\(510\) −37.0534 + 28.6094i −1.64075 + 1.26685i
\(511\) 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
\(514\) −15.5521 4.09070i −0.685974 0.180433i
\(515\) 26.2137 10.8093i 1.15511 0.476316i
\(516\) 9.26282 16.3896i 0.407773 0.721512i
\(517\) 10.1205i 0.445098i
\(518\) 1.32236 + 3.92777i 0.0581011 + 0.172576i
\(519\) 45.9653i 2.01765i
\(520\) −1.46691 10.1814i −0.0643282 0.446484i
\(521\) 11.5108 6.64575i 0.504296 0.291156i −0.226190 0.974083i \(-0.572627\pi\)
0.730486 + 0.682928i \(0.239294\pi\)
\(522\) 0.782613 2.97535i 0.0342540 0.130228i
\(523\) −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
\(528\) 18.7656 + 31.1662i 0.816669 + 1.35633i
\(529\) 6.65566 + 11.5279i 0.289377 + 0.501215i
\(530\) 4.59703 + 34.1250i 0.199682 + 1.48230i
\(531\) 36.8596i 1.59957i
\(532\) 22.3291 + 33.2668i 0.968089 + 1.44230i
\(533\) −1.51019 −0.0654136
\(534\) 44.7814 12.2199i 1.93788 0.528807i
\(535\) −18.1637 + 7.48989i −0.785286 + 0.323816i
\(536\) −8.87153 2.24656i −0.383192 0.0970366i
\(537\) −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
\(540\) −4.17175 + 33.6624i −0.179523 + 1.44860i
\(541\) 37.4487 + 21.6210i 1.61005 + 0.929561i 0.989358 + 0.145504i \(0.0464803\pi\)
0.620689 + 0.784057i \(0.286853\pi\)
\(542\) −25.4985 6.70692i −1.09525 0.288087i
\(543\) −5.83898 10.1134i −0.250575 0.434008i
\(544\) −8.02779 27.4245i −0.344189 1.17582i
\(545\) 0.918349 6.89098i 0.0393377 0.295177i
\(546\) 3.52299 17.4827i 0.150770 0.748193i
\(547\) 21.2017i 0.906519i −0.891379 0.453260i \(-0.850261\pi\)
0.891379 0.453260i \(-0.149739\pi\)
\(548\) −4.55752 + 8.06406i −0.194688 + 0.344480i
\(549\) 17.9406 + 31.0740i 0.765684 + 1.32620i
\(550\) 19.0204 + 10.9455i 0.811032 + 0.466718i
\(551\) 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
\(556\) 12.2490 + 20.7728i 0.519473 + 0.880961i
\(557\) −1.74567 3.02359i −0.0739663 0.128113i 0.826670 0.562687i \(-0.190232\pi\)
−0.900636 + 0.434574i \(0.856899\pi\)
\(558\) −13.8003 50.5729i −0.584212 2.14092i
\(559\) −5.22417 −0.220959
\(560\) −12.9559 + 19.8027i −0.547485 + 0.836816i
\(561\) −45.9425 −1.93970
\(562\) 3.39322 + 12.4349i 0.143135 + 0.524535i
\(563\) 7.10505 + 12.3063i 0.299442 + 0.518649i 0.976008 0.217733i \(-0.0698661\pi\)
−0.676566 + 0.736382i \(0.736533\pi\)
\(564\) −9.70823 16.4640i −0.408790 0.693258i
\(565\) 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 \(-0.0592631\pi\)
\(570\) −26.6575 + 64.9081i −1.11656 + 2.71870i
\(571\) −4.74777 8.22337i −0.198688 0.344137i 0.749415 0.662100i \(-0.230335\pi\)
−0.948103 + 0.317963i \(0.897001\pi\)
\(572\) 4.96710 8.78876i 0.207685 0.367477i
\(573\) 27.0969i 1.13199i
\(574\) 2.60632 + 2.29723i 0.108786 + 0.0958846i
\(575\) 15.0201 + 4.07580i 0.626383 + 0.169973i
\(576\) −39.3172 21.2772i −1.63821 0.886549i
\(577\) 16.2630 + 28.1683i 0.677037 + 1.17266i 0.975869 + 0.218356i \(0.0700695\pi\)
−0.298832 + 0.954306i \(0.596597\pi\)
\(578\) 11.6489 + 3.06403i 0.484530 + 0.127447i
\(579\) −31.0397 17.9208i −1.28996 0.744761i
\(580\) 1.72778 + 0.214122i 0.0717420 + 0.00889091i
\(581\) −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
\(584\) −2.20287 + 8.69899i −0.0911553 + 0.359967i
\(585\) 18.7885 7.74753i 0.776810 0.320321i
\(586\) −11.9027 + 3.24800i −0.491697 + 0.134174i
\(587\) 18.4126 0.759968 0.379984 0.924993i \(-0.375929\pi\)
0.379984 + 0.924993i \(0.375929\pi\)
\(588\) −32.6740 + 24.8131i −1.34745 + 1.02327i
\(589\) 50.2256i 2.06951i
\(590\) 20.6717 2.78472i 0.851041 0.114645i
\(591\) 10.8248 + 18.7491i 0.445272 + 0.771234i
\(592\) −2.28540 3.79561i −0.0939292 0.155999i
\(593\) −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
\(598\) 1.82124 6.92404i 0.0744762 0.283145i
\(599\) 16.2697 9.39332i 0.664762 0.383801i −0.129327 0.991602i \(-0.541282\pi\)
0.794089 + 0.607801i \(0.207948\pi\)
\(600\) −41.4420 + 0.439511i −1.69186 + 0.0179430i
\(601\) 37.1087i 1.51369i −0.653592 0.756847i \(-0.726739\pi\)
0.653592 0.756847i \(-0.273261\pi\)
\(602\) 9.01599 + 7.94677i 0.367464 + 0.323886i
\(603\) 18.0808i 0.736309i
\(604\) 19.1131 33.8186i 0.777701 1.37606i
\(605\) −1.16648 2.82882i −0.0474240 0.115008i
\(606\) 19.5358 + 5.13854i 0.793588 + 0.208739i
\(607\) 3.49971 + 2.02056i 0.142049 + 0.0820119i 0.569340 0.822102i \(-0.307199\pi\)
−0.427291 + 0.904114i \(0.640532\pi\)
\(608\) −30.9745 29.5834i −1.25618 1.19976i
\(609\) 2.69761 + 1.35419i 0.109313 + 0.0548744i
\(610\) −16.0716 + 12.4091i −0.650721 + 0.502430i
\(611\) −2.65192 + 4.59327i −0.107285 + 0.185824i
\(612\) 48.6314 28.6763i 1.96581 1.15917i
\(613\) 15.5447 + 26.9242i 0.627844 + 1.08746i 0.987984 + 0.154559i \(0.0493956\pi\)
−0.360140 + 0.932898i \(0.617271\pi\)
\(614\) 2.65506 + 9.72981i 0.107149 + 0.392663i
\(615\) −0.803770 + 6.03122i −0.0324111 + 0.243202i
\(616\) −21.9414 + 7.61211i −0.884043 + 0.306701i
\(617\) 15.3302i 0.617170i 0.951197 + 0.308585i \(0.0998554\pi\)
−0.951197 + 0.308585i \(0.900145\pi\)
\(618\) −50.7004 + 13.8351i −2.03947 + 0.556528i
\(619\) 37.3373 21.5567i 1.50071 0.866438i 0.500715 0.865612i \(-0.333071\pi\)
1.00000 0.000825626i \(-0.000262805\pi\)
\(620\) 27.3199 11.5603i 1.09719 0.464272i
\(621\) −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
\(626\) −31.5075 8.28747i −1.25929 0.331234i
\(627\) −59.6382 + 34.4321i −2.38172 + 1.37509i
\(628\) −17.6484 + 31.2269i −0.704247 + 1.24609i
\(629\) 5.59517 0.223094
\(630\) −44.2108 15.2094i −1.76140 0.605956i
\(631\) 23.9995i 0.955404i 0.878522 + 0.477702i \(0.158530\pi\)
−0.878522 + 0.477702i \(0.841470\pi\)
\(632\) 6.05323 + 21.4065i 0.240785 + 0.851506i
\(633\) −7.53214 13.0460i −0.299376 0.518534i
\(634\) 24.4407 + 6.42869i 0.970666 + 0.255316i
\(635\) 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
\(640\) 8.96236 23.6575i 0.354268 0.935144i
\(641\) 12.7941 + 22.1600i 0.505336 + 0.875267i 0.999981 + 0.00617237i \(0.00196474\pi\)
−0.494645 + 0.869095i \(0.664702\pi\)
\(642\) 35.1308 9.58646i 1.38650 0.378347i
\(643\) 48.1544 1.89902 0.949512 0.313731i \(-0.101579\pi\)
0.949512 + 0.313731i \(0.101579\pi\)
\(644\) −13.6757 + 9.17927i −0.538897 + 0.361714i
\(645\) −2.78046 + 20.8637i −0.109481 + 0.821506i
\(646\) 52.1832 14.2397i 2.05312 0.560253i
\(647\) 11.2431 6.49122i 0.442013 0.255196i −0.262438 0.964949i \(-0.584527\pi\)
0.704451 + 0.709752i \(0.251193\pi\)
\(648\) 3.79313 14.9789i 0.149008 0.588426i
\(649\) 17.7281 + 10.2353i 0.695887 + 0.401771i
\(650\) 5.76446 + 9.95173i 0.226101 + 0.390339i
\(651\) 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 −0.994789 0.101960i \(-0.967489\pi\)
0.585694 + 0.810532i \(0.300822\pi\)
\(654\) −3.27767 + 12.4611i −0.128167 + 0.487268i
\(655\) 35.5658 14.6657i 1.38967 0.573037i
\(656\) −3.25008 1.79763i −0.126894 0.0701859i
\(657\) −17.7292 −0.691682
\(658\) 11.5638 3.89317i 0.450804 0.151772i
\(659\) −36.6633 −1.42820 −0.714099 0.700045i \(-0.753163\pi\)
−0.714099 + 0.700045i \(0.753163\pi\)
\(660\) −32.4558 24.5146i −1.26334 0.954231i
\(661\) −13.6519 23.6458i −0.530998 0.919715i −0.999346 0.0361712i \(-0.988484\pi\)
0.468348 0.883544i \(-0.344849\pi\)
\(662\) −1.94186 0.510771i −0.0754726 0.0198517i
\(663\) −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
\(668\) −23.5621 39.9585i −0.911646 1.54604i
\(669\) −14.4857 + 8.36330i −0.560048 + 0.323344i
\(670\) 10.1402 1.36600i 0.391749 0.0527731i
\(671\) −19.9272 −0.769281
\(672\) 28.3921 33.4310i 1.09525 1.28963i
\(673\) 4.86055i 0.187360i −0.995602 0.0936802i \(-0.970137\pi\)
0.995602 0.0936802i \(-0.0298631\pi\)
\(674\) 12.8669 3.51111i 0.495616 0.135243i
\(675\) −9.69897 36.6624i −0.373314 1.41114i
\(676\) −17.8389 + 10.5190i −0.686113 + 0.404577i
\(677\) 3.37606 + 1.94917i 0.129753 + 0.0749128i 0.563471 0.826136i \(-0.309466\pi\)
−0.433719 + 0.901048i \(0.642799\pi\)
\(678\) −25.8122 25.5761i −0.991310 0.982244i
\(679\) −15.3834 23.3802i −0.590360 0.897250i
\(680\) 19.7564 + 25.1072i 0.757624 + 0.962817i
\(681\) −27.0937 + 46.9276i −1.03823 + 1.79827i
\(682\) 28.1558 + 7.40586i 1.07814 + 0.283585i
\(683\) 15.0819 8.70755i 0.577094 0.333185i −0.182884 0.983135i \(-0.558543\pi\)
0.759978 + 0.649949i \(0.225210\pi\)
\(684\) 41.6369 73.6722i 1.59203 2.81693i
\(685\) 1.36805 10.2654i 0.0522706 0.392221i
\(686\) −11.1907 23.6806i −0.427262 0.904128i
\(687\) −28.0752 −1.07113
\(688\) −11.2429 6.21852i −0.428632 0.237079i
\(689\) −15.3373 + 8.85497i −0.584303 + 0.337347i
\(690\) −26.6831 10.9586i −1.01581 0.417188i
\(691\) 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
\(696\) −3.12810 0.792135i −0.118570 0.0300258i
\(697\) 4.06200 2.34520i 0.153859 0.0888306i
\(698\) −2.85176 10.4506i −0.107941 0.395563i
\(699\) 12.3269i 0.466245i
\(700\) 5.18967 25.9435i 0.196151 0.980574i
\(701\) 21.7579i 0.821786i 0.911684 + 0.410893i \(0.134783\pi\)
−0.911684 + 0.410893i \(0.865217\pi\)
\(702\) −16.8306 + 4.59270i −0.635228 + 0.173340i
\(703\) 7.26311 4.19336i 0.273933 0.158156i
\(704\) 21.1513 13.0017i 0.797168 0.490022i
\(705\) 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 0.907771 0.419466i \(-0.137783\pi\)
0.0906173 + 0.995886i \(0.471116\pi\)
\(710\) −8.68311 + 21.1424i −0.325871 + 0.793460i
\(711\) −38.0631 + 21.9757i −1.42748 + 0.824155i
\(712\) −8.62007 30.4838i −0.323051 1.14243i
\(713\) 20.6473 0.773246
\(714\) 17.6733 + 52.4947i 0.661408 + 1.96456i
\(715\) −1.49100 + 11.1879i −0.0557601 + 0.418405i
\(716\) 6.28144 + 3.55005i 0.234749 + 0.132672i
\(717\) 54.6669 31.5620i 2.04157 1.17870i
\(718\) −4.56572 + 17.3581i −0.170391 + 0.647797i
\(719\) −11.7603 + 20.3694i −0.438585 + 0.759652i −0.997581 0.0695187i \(-0.977854\pi\)
0.558995 + 0.829171i \(0.311187\pi\)
\(720\) 49.6569 + 5.69123i 1.85060 + 0.212100i
\(721\) −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
\(724\) −6.86514 + 4.04814i −0.255141 + 0.150448i
\(725\) −1.88175 + 0.497815i −0.0698866 + 0.0184884i
\(726\) 1.49300 + 5.47128i 0.0554103 + 0.203058i
\(727\) 29.2877i 1.08622i −0.839661 0.543110i \(-0.817246\pi\)
0.839661 0.543110i \(-0.182754\pi\)
\(728\) −11.9529 2.29460i −0.443005 0.0850435i
\(729\) −36.1543 −1.33905
\(730\) −1.33943 9.94295i −0.0495745 0.368005i
\(731\) 14.0516 8.11269i 0.519717 0.300059i
\(732\) 32.4175 19.1155i 1.19819 0.706529i
\(733\) −39.4427 22.7723i −1.45685 0.841113i −0.457996 0.888954i \(-0.651433\pi\)
−0.998855 + 0.0478408i \(0.984766\pi\)
\(734\) −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
\(738\) 1.86663 7.09659i 0.0687115 0.261229i
\(739\) −6.91988 11.9856i −0.254552 0.440897i 0.710222 0.703978i \(-0.248595\pi\)
−0.964774 + 0.263081i \(0.915261\pi\)
\(740\) 3.95268 + 2.98555i 0.145303 + 0.109751i
\(741\) −36.0898 −1.32579
\(742\) 39.9391 + 8.04822i 1.46621 + 0.295459i
\(743\) 36.5334 1.34028 0.670141 0.742234i \(-0.266234\pi\)
0.670141 + 0.742234i \(0.266234\pi\)
\(744\) −52.9080 + 14.9611i −1.93970 + 0.548499i
\(745\) −35.8439 + 14.7804i −1.31322 + 0.541512i
\(746\) −16.0897 4.23209i −0.589084 0.154948i
\(747\) −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
\(750\) 42.8120 17.7248i 1.56327 0.647218i
\(751\) −29.3811 16.9632i −1.07213 0.618996i −0.143369 0.989669i \(-0.545794\pi\)
−0.928763 + 0.370673i \(0.879127\pi\)
\(752\) −11.1747 + 6.72847i −0.407500 + 0.245362i
\(753\) 28.4613 16.4322i 1.03719 0.598821i
\(754\) 0.235727 + 0.863854i 0.00858469 + 0.0314597i
\(755\) −5.73726 + 43.0505i −0.208800 + 1.56677i
\(756\) 36.0327 + 17.6757i 1.31050 + 0.642858i
\(757\) −31.2178 −1.13463 −0.567315 0.823501i \(-0.692018\pi\)
−0.567315 + 0.823501i \(0.692018\pi\)
\(758\) −1.13037 4.14240i −0.0410569 0.150459i
\(759\) −14.1547 24.5167i −0.513783 0.889899i
\(760\) 44.4627 + 17.7851i 1.61283 + 0.645133i
\(761\) −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
\(766\) −4.50367 + 17.1222i −0.162724 + 0.618649i
\(767\) 5.36403 + 9.29077i 0.193684 + 0.335470i
\(768\) −21.9367 + 41.4409i −0.791572 + 1.49537i
\(769\) 5.57448i 0.201021i −0.994936 0.100510i \(-0.967952\pi\)
0.994936 0.100510i \(-0.0320476\pi\)
\(770\) 19.5918 17.0403i 0.706038 0.614091i
\(771\) −33.3235 −1.20012
\(772\) −12.0352 + 21.2949i −0.433155 + 0.766421i
\(773\) −32.8342 + 18.9569i −1.18097 + 0.681831i −0.956238 0.292591i \(-0.905483\pi\)
−0.224728 + 0.974422i \(0.572149\pi\)
\(774\) 6.45719 24.5491i 0.232099