Properties

Label 74.2.f.a.71.1
Level $74$
Weight $2$
Character 74.71
Analytic conductor $0.591$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.590892974957\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 71.1
Root \(0.939693 - 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 74.71
Dual form 74.2.f.a.49.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.766044 - 0.642788i) q^{2} +(-1.43969 + 1.20805i) q^{3} +(0.173648 + 0.984808i) q^{4} +(3.31908 + 1.20805i) q^{5} +1.87939 q^{6} +(0.826352 + 0.300767i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.0923963 - 0.524005i) q^{9} +O(q^{10})\) \(q+(-0.766044 - 0.642788i) q^{2} +(-1.43969 + 1.20805i) q^{3} +(0.173648 + 0.984808i) q^{4} +(3.31908 + 1.20805i) q^{5} +1.87939 q^{6} +(0.826352 + 0.300767i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.0923963 - 0.524005i) q^{9} +(-1.76604 - 3.05888i) q^{10} +(-1.67365 + 2.89884i) q^{11} +(-1.43969 - 1.20805i) q^{12} +(-1.11334 - 6.31407i) q^{13} +(-0.439693 - 0.761570i) q^{14} +(-6.23783 + 2.27038i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-0.520945 + 2.95442i) q^{17} +(-0.407604 + 0.342020i) q^{18} +(3.55303 - 2.98135i) q^{19} +(-0.613341 + 3.47843i) q^{20} +(-1.55303 + 0.565258i) q^{21} +(3.14543 - 1.14484i) q^{22} +(-2.91875 - 5.05542i) q^{23} +(0.326352 + 1.85083i) q^{24} +(5.72668 + 4.80526i) q^{25} +(-3.20574 + 5.55250i) q^{26} +(-2.31908 - 4.01676i) q^{27} +(-0.152704 + 0.866025i) q^{28} +(1.63429 - 2.83067i) q^{29} +(6.23783 + 2.27038i) q^{30} -1.12061 q^{31} +(0.939693 + 0.342020i) q^{32} +(-1.09240 - 6.19529i) q^{33} +(2.29813 - 1.92836i) q^{34} +(2.37939 + 1.99654i) q^{35} +0.532089 q^{36} +(-3.44356 - 5.01417i) q^{37} -4.63816 q^{38} +(9.23055 + 7.74535i) q^{39} +(2.70574 - 2.27038i) q^{40} +(1.49020 + 8.45134i) q^{41} +(1.55303 + 0.565258i) q^{42} +5.61587 q^{43} +(-3.14543 - 1.14484i) q^{44} +(0.939693 - 1.62760i) q^{45} +(-1.01367 + 5.74881i) q^{46} +(2.56418 + 4.44129i) q^{47} +(0.939693 - 1.62760i) q^{48} +(-4.76991 - 4.00243i) q^{49} +(-1.29813 - 7.36208i) q^{50} +(-2.81908 - 4.88279i) q^{51} +(6.02481 - 2.19285i) q^{52} +(-0.252374 + 0.0918566i) q^{53} +(-0.805407 + 4.56769i) q^{54} +(-9.05690 + 7.59964i) q^{55} +(0.673648 - 0.565258i) q^{56} +(-1.51367 + 8.58445i) q^{57} +(-3.07145 + 1.11792i) q^{58} +(-7.15910 + 2.60570i) q^{59} +(-3.31908 - 5.74881i) q^{60} +(0.369585 + 2.09602i) q^{61} +(0.858441 + 0.720317i) q^{62} +(0.233956 - 0.405223i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(3.93242 - 22.3019i) q^{65} +(-3.14543 + 5.44804i) q^{66} +(-8.01754 - 2.91815i) q^{67} -3.00000 q^{68} +(10.3093 + 3.75227i) q^{69} +(-0.539363 - 3.05888i) q^{70} +(10.0719 - 8.45134i) q^{71} +(-0.407604 - 0.342020i) q^{72} -8.57398 q^{73} +(-0.585122 + 6.05455i) q^{74} -14.0496 q^{75} +(3.55303 + 2.98135i) q^{76} +(-2.25490 + 1.89209i) q^{77} +(-2.09240 - 11.8666i) q^{78} +(10.8833 + 3.96118i) q^{79} -3.53209 q^{80} +(9.69119 + 3.52730i) q^{81} +(4.29086 - 7.43199i) q^{82} +(0.724155 - 4.10689i) q^{83} +(-0.826352 - 1.43128i) q^{84} +(-5.29813 + 9.17664i) q^{85} +(-4.30200 - 3.60981i) q^{86} +(1.06670 + 6.04958i) q^{87} +(1.67365 + 2.89884i) q^{88} +(-7.86959 + 2.86429i) q^{89} +(-1.76604 + 0.642788i) q^{90} +(0.979055 - 5.55250i) q^{91} +(4.47178 - 3.75227i) q^{92} +(1.61334 - 1.35375i) q^{93} +(0.890530 - 5.05044i) q^{94} +(15.3944 - 5.60310i) q^{95} +(-1.76604 + 0.642788i) q^{96} +(8.53209 + 14.7780i) q^{97} +(1.08125 + 6.13208i) q^{98} +(1.36437 + 1.14484i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 3q^{3} + 3q^{5} + 6q^{7} + 3q^{8} - 3q^{9} + O(q^{10}) \) \( 6q - 3q^{3} + 3q^{5} + 6q^{7} + 3q^{8} - 3q^{9} - 6q^{10} - 9q^{11} - 3q^{12} + 3q^{14} - 18q^{15} - 6q^{18} + 9q^{19} + 3q^{20} + 3q^{21} + 3q^{22} - 15q^{23} + 3q^{24} + 21q^{25} - 9q^{26} + 3q^{27} - 3q^{28} + 18q^{30} - 18q^{31} - 3q^{33} + 3q^{35} - 6q^{36} + 9q^{37} + 6q^{38} + 18q^{39} + 6q^{40} + 6q^{41} - 3q^{42} + 12q^{43} - 3q^{44} + 15q^{46} - 3q^{47} + 6q^{50} + 9q^{52} - 18q^{53} - 9q^{54} - 18q^{55} + 3q^{56} + 12q^{57} - 18q^{58} - 6q^{59} - 3q^{60} - 12q^{61} - 3q^{62} + 6q^{63} - 3q^{64} - 3q^{66} - 3q^{67} - 18q^{68} + 42q^{69} - 12q^{70} - 6q^{71} - 6q^{72} - 36q^{73} + 18q^{74} - 30q^{75} + 9q^{76} - 15q^{77} - 9q^{78} + 30q^{79} - 12q^{80} + 12q^{81} - 6q^{82} + 6q^{83} - 6q^{84} - 18q^{85} + 12q^{86} - 27q^{87} + 9q^{88} - 33q^{89} - 6q^{90} + 9q^{91} + 12q^{92} + 3q^{93} - 12q^{94} + 51q^{95} - 6q^{96} + 42q^{97} + 9q^{98} + 27q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.766044 0.642788i −0.541675 0.454519i
\(3\) −1.43969 + 1.20805i −0.831207 + 0.697465i −0.955568 0.294772i \(-0.904756\pi\)
0.124361 + 0.992237i \(0.460312\pi\)
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) 3.31908 + 1.20805i 1.48434 + 0.540254i 0.951952 0.306248i \(-0.0990737\pi\)
0.532385 + 0.846502i \(0.321296\pi\)
\(6\) 1.87939 0.767256
\(7\) 0.826352 + 0.300767i 0.312332 + 0.113679i 0.493430 0.869786i \(-0.335743\pi\)
−0.181098 + 0.983465i \(0.557965\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) 0.0923963 0.524005i 0.0307988 0.174668i
\(10\) −1.76604 3.05888i −0.558472 0.967302i
\(11\) −1.67365 + 2.89884i −0.504624 + 0.874034i 0.495362 + 0.868687i \(0.335036\pi\)
−0.999986 + 0.00534749i \(0.998298\pi\)
\(12\) −1.43969 1.20805i −0.415603 0.348733i
\(13\) −1.11334 6.31407i −0.308785 1.75121i −0.605130 0.796127i \(-0.706879\pi\)
0.296345 0.955081i \(-0.404232\pi\)
\(14\) −0.439693 0.761570i −0.117513 0.203538i
\(15\) −6.23783 + 2.27038i −1.61060 + 0.586210i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) −0.520945 + 2.95442i −0.126348 + 0.716553i 0.854151 + 0.520026i \(0.174078\pi\)
−0.980498 + 0.196527i \(0.937034\pi\)
\(18\) −0.407604 + 0.342020i −0.0960731 + 0.0806149i
\(19\) 3.55303 2.98135i 0.815122 0.683968i −0.136703 0.990612i \(-0.543650\pi\)
0.951824 + 0.306644i \(0.0992060\pi\)
\(20\) −0.613341 + 3.47843i −0.137147 + 0.777800i
\(21\) −1.55303 + 0.565258i −0.338900 + 0.123349i
\(22\) 3.14543 1.14484i 0.670608 0.244081i
\(23\) −2.91875 5.05542i −0.608601 1.05413i −0.991471 0.130326i \(-0.958398\pi\)
0.382870 0.923802i \(-0.374936\pi\)
\(24\) 0.326352 + 1.85083i 0.0666163 + 0.377800i
\(25\) 5.72668 + 4.80526i 1.14534 + 0.961051i
\(26\) −3.20574 + 5.55250i −0.628697 + 1.08893i
\(27\) −2.31908 4.01676i −0.446307 0.773026i
\(28\) −0.152704 + 0.866025i −0.0288583 + 0.163663i
\(29\) 1.63429 2.83067i 0.303479 0.525641i −0.673442 0.739240i \(-0.735185\pi\)
0.976922 + 0.213598i \(0.0685184\pi\)
\(30\) 6.23783 + 2.27038i 1.13887 + 0.414513i
\(31\) −1.12061 −0.201268 −0.100634 0.994923i \(-0.532087\pi\)
−0.100634 + 0.994923i \(0.532087\pi\)
\(32\) 0.939693 + 0.342020i 0.166116 + 0.0604612i
\(33\) −1.09240 6.19529i −0.190162 1.07846i
\(34\) 2.29813 1.92836i 0.394127 0.330711i
\(35\) 2.37939 + 1.99654i 0.402190 + 0.337477i
\(36\) 0.532089 0.0886815
\(37\) −3.44356 5.01417i −0.566118 0.824324i
\(38\) −4.63816 −0.752408
\(39\) 9.23055 + 7.74535i 1.47807 + 1.24025i
\(40\) 2.70574 2.27038i 0.427815 0.358979i
\(41\) 1.49020 + 8.45134i 0.232730 + 1.31988i 0.847342 + 0.531048i \(0.178202\pi\)
−0.614612 + 0.788830i \(0.710687\pi\)
\(42\) 1.55303 + 0.565258i 0.239638 + 0.0872212i
\(43\) 5.61587 0.856412 0.428206 0.903681i \(-0.359146\pi\)
0.428206 + 0.903681i \(0.359146\pi\)
\(44\) −3.14543 1.14484i −0.474191 0.172592i
\(45\) 0.939693 1.62760i 0.140081 0.242628i
\(46\) −1.01367 + 5.74881i −0.149458 + 0.847616i
\(47\) 2.56418 + 4.44129i 0.374024 + 0.647828i 0.990180 0.139795i \(-0.0446445\pi\)
−0.616157 + 0.787624i \(0.711311\pi\)
\(48\) 0.939693 1.62760i 0.135633 0.234923i
\(49\) −4.76991 4.00243i −0.681416 0.571776i
\(50\) −1.29813 7.36208i −0.183584 1.04116i
\(51\) −2.81908 4.88279i −0.394750 0.683727i
\(52\) 6.02481 2.19285i 0.835492 0.304094i
\(53\) −0.252374 + 0.0918566i −0.0346662 + 0.0126175i −0.359295 0.933224i \(-0.616983\pi\)
0.324629 + 0.945841i \(0.394761\pi\)
\(54\) −0.805407 + 4.56769i −0.109602 + 0.621584i
\(55\) −9.05690 + 7.59964i −1.22123 + 1.02474i
\(56\) 0.673648 0.565258i 0.0900200 0.0755358i
\(57\) −1.51367 + 8.58445i −0.200491 + 1.13704i
\(58\) −3.07145 + 1.11792i −0.403301 + 0.146790i
\(59\) −7.15910 + 2.60570i −0.932035 + 0.339233i −0.763016 0.646380i \(-0.776282\pi\)
−0.169019 + 0.985613i \(0.554060\pi\)
\(60\) −3.31908 5.74881i −0.428491 0.742168i
\(61\) 0.369585 + 2.09602i 0.0473205 + 0.268368i 0.999284 0.0378447i \(-0.0120492\pi\)
−0.951963 + 0.306213i \(0.900938\pi\)
\(62\) 0.858441 + 0.720317i 0.109022 + 0.0914804i
\(63\) 0.233956 0.405223i 0.0294756 0.0510533i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 3.93242 22.3019i 0.487757 2.76620i
\(66\) −3.14543 + 5.44804i −0.387176 + 0.670608i
\(67\) −8.01754 2.91815i −0.979499 0.356508i −0.197853 0.980232i \(-0.563397\pi\)
−0.781645 + 0.623723i \(0.785619\pi\)
\(68\) −3.00000 −0.363803
\(69\) 10.3093 + 3.75227i 1.24109 + 0.451720i
\(70\) −0.539363 3.05888i −0.0644662 0.365606i
\(71\) 10.0719 8.45134i 1.19532 1.00299i 0.195565 0.980691i \(-0.437346\pi\)
0.999751 0.0222993i \(-0.00709866\pi\)
\(72\) −0.407604 0.342020i −0.0480366 0.0403075i
\(73\) −8.57398 −1.00351 −0.501754 0.865010i \(-0.667312\pi\)
−0.501754 + 0.865010i \(0.667312\pi\)
\(74\) −0.585122 + 6.05455i −0.0680191 + 0.703828i
\(75\) −14.0496 −1.62231
\(76\) 3.55303 + 2.98135i 0.407561 + 0.341984i
\(77\) −2.25490 + 1.89209i −0.256970 + 0.215623i
\(78\) −2.09240 11.8666i −0.236917 1.34362i
\(79\) 10.8833 + 3.96118i 1.22446 + 0.445668i 0.871697 0.490044i \(-0.163019\pi\)
0.352764 + 0.935712i \(0.385242\pi\)
\(80\) −3.53209 −0.394900
\(81\) 9.69119 + 3.52730i 1.07680 + 0.391923i
\(82\) 4.29086 7.43199i 0.473846 0.820726i
\(83\) 0.724155 4.10689i 0.0794864 0.450790i −0.918924 0.394434i \(-0.870941\pi\)
0.998411 0.0563559i \(-0.0179481\pi\)
\(84\) −0.826352 1.43128i −0.0901624 0.156166i
\(85\) −5.29813 + 9.17664i −0.574663 + 0.995346i
\(86\) −4.30200 3.60981i −0.463897 0.389256i
\(87\) 1.06670 + 6.04958i 0.114363 + 0.648583i
\(88\) 1.67365 + 2.89884i 0.178411 + 0.309018i
\(89\) −7.86959 + 2.86429i −0.834174 + 0.303615i −0.723571 0.690250i \(-0.757501\pi\)
−0.110603 + 0.993865i \(0.535278\pi\)
\(90\) −1.76604 + 0.642788i −0.186157 + 0.0677558i
\(91\) 0.979055 5.55250i 0.102633 0.582060i
\(92\) 4.47178 3.75227i 0.466215 0.391201i
\(93\) 1.61334 1.35375i 0.167296 0.140378i
\(94\) 0.890530 5.05044i 0.0918511 0.520914i
\(95\) 15.3944 5.60310i 1.57943 0.574866i
\(96\) −1.76604 + 0.642788i −0.180246 + 0.0656042i
\(97\) 8.53209 + 14.7780i 0.866302 + 1.50048i 0.865748 + 0.500480i \(0.166843\pi\)
0.000554205 1.00000i \(0.499824\pi\)
\(98\) 1.08125 + 6.13208i 0.109223 + 0.619434i
\(99\) 1.36437 + 1.14484i 0.137124 + 0.115061i
\(100\) −3.73783 + 6.47410i −0.373783 + 0.647410i
\(101\) −0.543233 0.940908i −0.0540537 0.0936238i 0.837732 0.546081i \(-0.183881\pi\)
−0.891786 + 0.452457i \(0.850548\pi\)
\(102\) −0.979055 + 5.55250i −0.0969409 + 0.549779i
\(103\) −5.60741 + 9.71232i −0.552515 + 0.956983i 0.445578 + 0.895243i \(0.352998\pi\)
−0.998092 + 0.0617401i \(0.980335\pi\)
\(104\) −6.02481 2.19285i −0.590782 0.215027i
\(105\) −5.83750 −0.569681
\(106\) 0.252374 + 0.0918566i 0.0245127 + 0.00892190i
\(107\) 1.66637 + 9.45048i 0.161094 + 0.913612i 0.953000 + 0.302969i \(0.0979779\pi\)
−0.791906 + 0.610643i \(0.790911\pi\)
\(108\) 3.55303 2.98135i 0.341891 0.286880i
\(109\) −1.70187 1.42804i −0.163009 0.136781i 0.557634 0.830087i \(-0.311709\pi\)
−0.720644 + 0.693306i \(0.756154\pi\)
\(110\) 11.8229 1.12727
\(111\) 11.0150 + 3.05888i 1.04550 + 0.290336i
\(112\) −0.879385 −0.0830941
\(113\) −3.54710 2.97637i −0.333683 0.279994i 0.460515 0.887652i \(-0.347665\pi\)
−0.794199 + 0.607658i \(0.792109\pi\)
\(114\) 6.67752 5.60310i 0.625407 0.524779i
\(115\) −3.58037 20.3053i −0.333872 1.89348i
\(116\) 3.07145 + 1.11792i 0.285177 + 0.103796i
\(117\) −3.41147 −0.315391
\(118\) 7.15910 + 2.60570i 0.659049 + 0.239874i
\(119\) −1.31908 + 2.28471i −0.120920 + 0.209439i
\(120\) −1.15270 + 6.53731i −0.105227 + 0.596772i
\(121\) −0.102196 0.177009i −0.00929059 0.0160918i
\(122\) 1.06418 1.84321i 0.0963461 0.166876i
\(123\) −12.3550 10.3671i −1.11402 0.934771i
\(124\) −0.194593 1.10359i −0.0174749 0.0991053i
\(125\) 4.37211 + 7.57272i 0.391054 + 0.677325i
\(126\) −0.439693 + 0.160035i −0.0391709 + 0.0142571i
\(127\) 4.77972 1.73967i 0.424131 0.154371i −0.121131 0.992636i \(-0.538652\pi\)
0.545262 + 0.838265i \(0.316430\pi\)
\(128\) −0.173648 + 0.984808i −0.0153485 + 0.0870455i
\(129\) −8.08512 + 6.78422i −0.711855 + 0.597318i
\(130\) −17.3478 + 14.5565i −1.52150 + 1.27669i
\(131\) 0.566237 3.21129i 0.0494724 0.280572i −0.950028 0.312163i \(-0.898946\pi\)
0.999501 + 0.0315914i \(0.0100575\pi\)
\(132\) 5.91147 2.15160i 0.514528 0.187273i
\(133\) 3.83275 1.39501i 0.332341 0.120962i
\(134\) 4.26604 + 7.38901i 0.368530 + 0.638313i
\(135\) −2.84477 16.1335i −0.244839 1.38855i
\(136\) 2.29813 + 1.92836i 0.197063 + 0.165356i
\(137\) 0.798133 1.38241i 0.0681891 0.118107i −0.829915 0.557890i \(-0.811611\pi\)
0.898104 + 0.439783i \(0.144945\pi\)
\(138\) −5.48545 9.50108i −0.466953 0.808786i
\(139\) 2.04963 11.6240i 0.173847 0.985937i −0.765619 0.643295i \(-0.777567\pi\)
0.939466 0.342642i \(-0.111322\pi\)
\(140\) −1.55303 + 2.68993i −0.131255 + 0.227341i
\(141\) −9.05690 3.29644i −0.762729 0.277611i
\(142\) −13.1480 −1.10335
\(143\) 20.1668 + 7.34013i 1.68644 + 0.613812i
\(144\) 0.0923963 + 0.524005i 0.00769969 + 0.0436671i
\(145\) 8.84389 7.42091i 0.734445 0.616273i
\(146\) 6.56805 + 5.51125i 0.543576 + 0.456114i
\(147\) 11.7023 0.965192
\(148\) 4.34002 4.26195i 0.356748 0.350330i
\(149\) −12.6604 −1.03718 −0.518592 0.855022i \(-0.673544\pi\)
−0.518592 + 0.855022i \(0.673544\pi\)
\(150\) 10.7626 + 9.03093i 0.878766 + 0.737372i
\(151\) −3.47771 + 2.91815i −0.283012 + 0.237475i −0.773232 0.634124i \(-0.781361\pi\)
0.490220 + 0.871599i \(0.336917\pi\)
\(152\) −0.805407 4.56769i −0.0653272 0.370489i
\(153\) 1.50000 + 0.545955i 0.121268 + 0.0441379i
\(154\) 2.94356 0.237199
\(155\) −3.71941 1.35375i −0.298750 0.108736i
\(156\) −6.02481 + 10.4353i −0.482371 + 0.835492i
\(157\) −3.10472 + 17.6078i −0.247784 + 1.40525i 0.566154 + 0.824300i \(0.308431\pi\)
−0.813938 + 0.580952i \(0.802680\pi\)
\(158\) −5.79086 10.0301i −0.460696 0.797949i
\(159\) 0.252374 0.437124i 0.0200145 0.0346662i
\(160\) 2.70574 + 2.27038i 0.213907 + 0.179490i
\(161\) −0.891407 5.05542i −0.0702527 0.398423i
\(162\) −5.15657 8.93145i −0.405139 0.701721i
\(163\) 2.13176 0.775897i 0.166972 0.0607729i −0.257182 0.966363i \(-0.582794\pi\)
0.424154 + 0.905590i \(0.360572\pi\)
\(164\) −8.06418 + 2.93512i −0.629706 + 0.229194i
\(165\) 3.85844 21.8823i 0.300379 1.70354i
\(166\) −3.19459 + 2.68058i −0.247948 + 0.208053i
\(167\) −16.4290 + 13.7856i −1.27132 + 1.06676i −0.276936 + 0.960888i \(0.589319\pi\)
−0.994380 + 0.105872i \(0.966237\pi\)
\(168\) −0.286989 + 1.62760i −0.0221417 + 0.125572i
\(169\) −26.4119 + 9.61316i −2.03169 + 0.739474i
\(170\) 9.95723 3.62414i 0.763685 0.277959i
\(171\) −1.23396 2.13727i −0.0943629 0.163441i
\(172\) 0.975185 + 5.53055i 0.0743572 + 0.421700i
\(173\) −8.63223 7.24330i −0.656296 0.550698i 0.252678 0.967550i \(-0.418689\pi\)
−0.908974 + 0.416853i \(0.863133\pi\)
\(174\) 3.07145 5.31991i 0.232846 0.403301i
\(175\) 3.28699 + 5.69323i 0.248473 + 0.430368i
\(176\) 0.581252 3.29644i 0.0438135 0.248479i
\(177\) 7.15910 12.3999i 0.538111 0.932035i
\(178\) 7.86959 + 2.86429i 0.589850 + 0.214688i
\(179\) −6.43107 −0.480681 −0.240341 0.970689i \(-0.577259\pi\)
−0.240341 + 0.970689i \(0.577259\pi\)
\(180\) 1.76604 + 0.642788i 0.131633 + 0.0479106i
\(181\) 0.608288 + 3.44977i 0.0452137 + 0.256420i 0.999033 0.0439605i \(-0.0139976\pi\)
−0.953820 + 0.300380i \(0.902886\pi\)
\(182\) −4.31908 + 3.62414i −0.320151 + 0.268639i
\(183\) −3.06418 2.57115i −0.226511 0.190065i
\(184\) −5.83750 −0.430346
\(185\) −5.37211 20.8024i −0.394965 1.52942i
\(186\) −2.10607 −0.154424
\(187\) −7.69253 6.45480i −0.562534 0.472022i
\(188\) −3.92855 + 3.29644i −0.286519 + 0.240418i
\(189\) −0.708263 4.01676i −0.0515186 0.292176i
\(190\) −15.3944 5.60310i −1.11683 0.406492i
\(191\) −13.9240 −1.00750 −0.503751 0.863849i \(-0.668047\pi\)
−0.503751 + 0.863849i \(0.668047\pi\)
\(192\) 1.76604 + 0.642788i 0.127453 + 0.0463892i
\(193\) 5.78833 10.0257i 0.416653 0.721665i −0.578947 0.815365i \(-0.696536\pi\)
0.995600 + 0.0937004i \(0.0298696\pi\)
\(194\) 2.96316 16.8049i 0.212743 1.20652i
\(195\) 21.2802 + 36.8584i 1.52391 + 2.63948i
\(196\) 3.11334 5.39246i 0.222381 0.385176i
\(197\) 11.0740 + 9.29217i 0.788988 + 0.662040i 0.945495 0.325637i \(-0.105579\pi\)
−0.156507 + 0.987677i \(0.550023\pi\)
\(198\) −0.309278 1.75400i −0.0219794 0.124651i
\(199\) 2.85844 + 4.95096i 0.202629 + 0.350965i 0.949375 0.314145i \(-0.101718\pi\)
−0.746745 + 0.665110i \(0.768385\pi\)
\(200\) 7.02481 2.55682i 0.496729 0.180795i
\(201\) 15.0680 5.48432i 1.06282 0.386834i
\(202\) −0.188663 + 1.06996i −0.0132743 + 0.0752822i
\(203\) 2.20187 1.84759i 0.154541 0.129675i
\(204\) 4.31908 3.62414i 0.302396 0.253740i
\(205\) −5.26352 + 29.8509i −0.367620 + 2.08488i
\(206\) 10.5385 3.83570i 0.734251 0.267246i
\(207\) −2.91875 + 1.06234i −0.202867 + 0.0738376i
\(208\) 3.20574 + 5.55250i 0.222278 + 0.384997i
\(209\) 2.69594 + 15.2894i 0.186482 + 1.05759i
\(210\) 4.47178 + 3.75227i 0.308582 + 0.258931i
\(211\) 3.83275 6.63852i 0.263857 0.457014i −0.703406 0.710788i \(-0.748339\pi\)
0.967264 + 0.253774i \(0.0816719\pi\)
\(212\) −0.134285 0.232589i −0.00922275 0.0159743i
\(213\) −4.29086 + 24.3347i −0.294005 + 1.66738i
\(214\) 4.79813 8.31061i 0.327994 0.568102i
\(215\) 18.6395 + 6.78422i 1.27120 + 0.462680i
\(216\) −4.63816 −0.315587
\(217\) −0.926022 0.337044i −0.0628625 0.0228801i
\(218\) 0.385782 + 2.18788i 0.0261284 + 0.148182i
\(219\) 12.3439 10.3578i 0.834123 0.699912i
\(220\) −9.05690 7.59964i −0.610616 0.512368i
\(221\) 19.2344 1.29385
\(222\) −6.47178 9.42355i −0.434358 0.632467i
\(223\) −1.99226 −0.133412 −0.0667058 0.997773i \(-0.521249\pi\)
−0.0667058 + 0.997773i \(0.521249\pi\)
\(224\) 0.673648 + 0.565258i 0.0450100 + 0.0377679i
\(225\) 3.04710 2.55682i 0.203140 0.170455i
\(226\) 0.804063 + 4.56007i 0.0534855 + 0.303331i
\(227\) 18.3084 + 6.66371i 1.21517 + 0.442286i 0.868495 0.495699i \(-0.165088\pi\)
0.346677 + 0.937985i \(0.387310\pi\)
\(228\) −8.71688 −0.577290
\(229\) 12.0424 + 4.38306i 0.795781 + 0.289641i 0.707737 0.706476i \(-0.249716\pi\)
0.0880442 + 0.996117i \(0.471938\pi\)
\(230\) −10.3093 + 17.8562i −0.679774 + 1.17740i
\(231\) 0.960637 5.44804i 0.0632053 0.358455i
\(232\) −1.63429 2.83067i −0.107296 0.185842i
\(233\) −1.45811 + 2.52552i −0.0955240 + 0.165452i −0.909827 0.414987i \(-0.863786\pi\)
0.814303 + 0.580440i \(0.197119\pi\)
\(234\) 2.61334 + 2.19285i 0.170839 + 0.143351i
\(235\) 3.14543 + 17.8386i 0.205185 + 1.16366i
\(236\) −3.80928 6.59786i −0.247963 0.429484i
\(237\) −20.4538 + 7.44459i −1.32862 + 0.483578i
\(238\) 2.47906 0.902302i 0.160693 0.0584876i
\(239\) 2.78059 15.7695i 0.179862 1.02005i −0.752520 0.658570i \(-0.771162\pi\)
0.932381 0.361476i \(-0.117727\pi\)
\(240\) 5.08512 4.26692i 0.328243 0.275429i
\(241\) 7.49866 6.29212i 0.483031 0.405311i −0.368490 0.929632i \(-0.620125\pi\)
0.851521 + 0.524321i \(0.175681\pi\)
\(242\) −0.0354925 + 0.201288i −0.00228154 + 0.0129393i
\(243\) −5.13816 + 1.87014i −0.329613 + 0.119969i
\(244\) −2.00000 + 0.727940i −0.128037 + 0.0466016i
\(245\) −10.9966 19.0467i −0.702547 1.21685i
\(246\) 2.80066 + 15.8833i 0.178564 + 1.01268i
\(247\) −22.7802 19.1148i −1.44947 1.21625i
\(248\) −0.560307 + 0.970481i −0.0355796 + 0.0616256i
\(249\) 3.91875 + 6.78747i 0.248341 + 0.430138i
\(250\) 1.51842 8.61138i 0.0960332 0.544631i
\(251\) −8.37211 + 14.5009i −0.528443 + 0.915290i 0.471007 + 0.882129i \(0.343891\pi\)
−0.999450 + 0.0331606i \(0.989443\pi\)
\(252\) 0.439693 + 0.160035i 0.0276980 + 0.0100813i
\(253\) 19.5398 1.22846
\(254\) −4.77972 1.73967i −0.299906 0.109157i
\(255\) −3.45811 19.6119i −0.216555 1.22815i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −16.6780 13.9945i −1.04034 0.872952i −0.0482987 0.998833i \(-0.515380\pi\)
−0.992045 + 0.125881i \(0.959824\pi\)
\(258\) 10.5544 0.657087
\(259\) −1.33750 5.17918i −0.0831080 0.321818i
\(260\) 22.6459 1.40444
\(261\) −1.33228 1.11792i −0.0824662 0.0691973i
\(262\) −2.49794 + 2.09602i −0.154323 + 0.129493i
\(263\) 3.67886 + 20.8639i 0.226848 + 1.28652i 0.859120 + 0.511774i \(0.171012\pi\)
−0.632272 + 0.774747i \(0.717877\pi\)
\(264\) −5.91147 2.15160i −0.363826 0.132422i
\(265\) −0.948615 −0.0582730
\(266\) −3.83275 1.39501i −0.235001 0.0855333i
\(267\) 7.86959 13.6305i 0.481611 0.834174i
\(268\) 1.48158 8.40247i 0.0905020 0.513262i
\(269\) −10.1159 17.5212i −0.616775 1.06829i −0.990070 0.140573i \(-0.955105\pi\)
0.373295 0.927713i \(-0.378228\pi\)
\(270\) −8.19119 + 14.1876i −0.498500 + 0.863427i
\(271\) −10.2194 8.57510i −0.620785 0.520900i 0.277265 0.960793i \(-0.410572\pi\)
−0.898050 + 0.439893i \(0.855016\pi\)
\(272\) −0.520945 2.95442i −0.0315869 0.179138i
\(273\) 5.29813 + 9.17664i 0.320658 + 0.555395i
\(274\) −1.50000 + 0.545955i −0.0906183 + 0.0329824i
\(275\) −23.5141 + 8.55845i −1.41796 + 0.516094i
\(276\) −1.90508 + 10.8042i −0.114672 + 0.650338i
\(277\) 24.7147 20.7381i 1.48496 1.24603i 0.584276 0.811555i \(-0.301379\pi\)
0.900684 0.434474i \(-0.143066\pi\)
\(278\) −9.04189 + 7.58705i −0.542296 + 0.455041i
\(279\) −0.103541 + 0.587208i −0.00619881 + 0.0351552i
\(280\) 2.91875 1.06234i 0.174429 0.0634868i
\(281\) −4.05690 + 1.47659i −0.242015 + 0.0880861i −0.460180 0.887826i \(-0.652215\pi\)
0.218165 + 0.975912i \(0.429993\pi\)
\(282\) 4.81908 + 8.34689i 0.286972 + 0.497050i
\(283\) 0.233078 + 1.32185i 0.0138551 + 0.0785760i 0.990951 0.134222i \(-0.0428535\pi\)
−0.977096 + 0.212798i \(0.931742\pi\)
\(284\) 10.0719 + 8.45134i 0.597658 + 0.501495i
\(285\) −15.3944 + 26.6639i −0.911886 + 1.57943i
\(286\) −10.7306 18.5859i −0.634511 1.09901i
\(287\) −1.31046 + 7.43199i −0.0773540 + 0.438696i
\(288\) 0.266044 0.460802i 0.0156768 0.0271530i
\(289\) 7.51754 + 2.73616i 0.442208 + 0.160951i
\(290\) −11.5449 −0.677939
\(291\) −30.1361 10.9686i −1.76661 0.642993i
\(292\) −1.48886 8.44372i −0.0871287 0.494131i
\(293\) 2.11334 1.77330i 0.123463 0.103597i −0.578966 0.815352i \(-0.696544\pi\)
0.702428 + 0.711754i \(0.252099\pi\)
\(294\) −8.96451 7.52211i −0.522821 0.438699i
\(295\) −26.9094 −1.56673
\(296\) −6.06418 + 0.475129i −0.352473 + 0.0276163i
\(297\) 15.5253 0.900868
\(298\) 9.69846 + 8.13798i 0.561817 + 0.471420i
\(299\) −28.6707 + 24.0576i −1.65807 + 1.39129i
\(300\) −2.43969 13.8362i −0.140856 0.798832i
\(301\) 4.64068 + 1.68907i 0.267484 + 0.0973564i
\(302\) 4.53983 0.261238
\(303\) 1.91875 + 0.698367i 0.110229 + 0.0401201i
\(304\) −2.31908 + 4.01676i −0.133008 + 0.230377i
\(305\) −1.30541 + 7.40333i −0.0747474 + 0.423914i
\(306\) −0.798133 1.38241i −0.0456262 0.0790270i
\(307\) 3.29426 5.70583i 0.188014 0.325649i −0.756574 0.653908i \(-0.773128\pi\)
0.944588 + 0.328259i \(0.106462\pi\)
\(308\) −2.25490 1.89209i −0.128485 0.107812i
\(309\) −3.65998 20.7568i −0.208209 1.18081i
\(310\) 1.97906 + 3.42782i 0.112403 + 0.194687i
\(311\) 17.8871 6.51038i 1.01429 0.369170i 0.219209 0.975678i \(-0.429652\pi\)
0.795077 + 0.606508i \(0.207430\pi\)
\(312\) 11.3229 4.12122i 0.641036 0.233318i
\(313\) −2.22534 + 12.6205i −0.125784 + 0.713354i 0.855056 + 0.518536i \(0.173523\pi\)
−0.980839 + 0.194818i \(0.937588\pi\)
\(314\) 13.6964 11.4926i 0.772933 0.648568i
\(315\) 1.26604 1.06234i 0.0713335 0.0598559i
\(316\) −2.01114 + 11.4058i −0.113136 + 0.641624i
\(317\) 18.3662 6.68474i 1.03155 0.375453i 0.229878 0.973220i \(-0.426167\pi\)
0.801670 + 0.597767i \(0.203945\pi\)
\(318\) −0.474308 + 0.172634i −0.0265979 + 0.00968083i
\(319\) 5.47044 + 9.47508i 0.306286 + 0.530502i
\(320\) −0.613341 3.47843i −0.0342868 0.194450i
\(321\) −13.8157 11.5927i −0.771116 0.647043i
\(322\) −2.56670 + 4.44566i −0.143037 + 0.247747i
\(323\) 6.95723 + 12.0503i 0.387111 + 0.670496i
\(324\) −1.79086 + 10.1565i −0.0994922 + 0.564248i
\(325\) 23.9650 41.5086i 1.32934 2.30248i
\(326\) −2.13176 0.775897i −0.118067 0.0429730i
\(327\) 4.17530 0.230894
\(328\) 8.06418 + 2.93512i 0.445270 + 0.162065i
\(329\) 0.783119 + 4.44129i 0.0431747 + 0.244856i
\(330\) −17.0214 + 14.2827i −0.936998 + 0.786235i
\(331\) 10.4927 + 8.80444i 0.576732 + 0.483936i 0.883872 0.467728i \(-0.154927\pi\)
−0.307140 + 0.951664i \(0.599372\pi\)
\(332\) 4.17024 0.228872
\(333\) −2.94562 + 1.34115i −0.161419 + 0.0734948i
\(334\) 21.4466 1.17350
\(335\) −23.0856 19.3711i −1.26130 1.05836i
\(336\) 1.26604 1.06234i 0.0690684 0.0579553i
\(337\) −0.888003 5.03612i −0.0483726 0.274335i 0.951022 0.309123i \(-0.100035\pi\)
−0.999395 + 0.0347882i \(0.988924\pi\)
\(338\) 26.4119 + 9.61316i 1.43662 + 0.522887i
\(339\) 8.70233 0.472646
\(340\) −9.95723 3.62414i −0.540007 0.196546i
\(341\) 1.87551 3.24849i 0.101565 0.175915i
\(342\) −0.428548 + 2.43042i −0.0231732 + 0.131422i
\(343\) −5.81567 10.0730i −0.314017 0.543893i
\(344\) 2.80793 4.86348i 0.151394 0.262221i
\(345\) 29.6844 + 24.9082i 1.59815 + 1.34101i
\(346\) 1.95677 + 11.0974i 0.105196 + 0.596599i
\(347\) −7.48158 12.9585i −0.401632 0.695648i 0.592291 0.805724i \(-0.298224\pi\)
−0.993923 + 0.110077i \(0.964890\pi\)
\(348\) −5.77244 + 2.10100i −0.309435 + 0.112625i
\(349\) 12.5569 4.57034i 0.672156 0.244645i 0.0166799 0.999861i \(-0.494690\pi\)
0.655476 + 0.755216i \(0.272468\pi\)
\(350\) 1.14156 6.47410i 0.0610189 0.346055i
\(351\) −22.7802 + 19.1148i −1.21592 + 1.02027i
\(352\) −2.56418 + 2.15160i −0.136671 + 0.114681i
\(353\) 1.41576 8.02915i 0.0753530 0.427348i −0.923671 0.383186i \(-0.874827\pi\)
0.999024 0.0441626i \(-0.0140620\pi\)
\(354\) −13.4547 + 4.89711i −0.715110 + 0.260279i
\(355\) 43.6391 15.8833i 2.31612 0.843000i
\(356\) −4.18732 7.25265i −0.221927 0.384390i
\(357\) −0.860967 4.88279i −0.0455672 0.258424i
\(358\) 4.92649 + 4.13381i 0.260373 + 0.218479i
\(359\) −0.543233 + 0.940908i −0.0286708 + 0.0496592i −0.880005 0.474965i \(-0.842461\pi\)
0.851334 + 0.524624i \(0.175794\pi\)
\(360\) −0.939693 1.62760i −0.0495261 0.0857818i
\(361\) 0.436289 2.47432i 0.0229626 0.130227i
\(362\) 1.75150 3.03368i 0.0920566 0.159447i
\(363\) 0.360967 + 0.131381i 0.0189459 + 0.00689573i
\(364\) 5.63816 0.295520
\(365\) −28.4577 10.3578i −1.48954 0.542150i
\(366\) 0.694593 + 3.93923i 0.0363069 + 0.205907i
\(367\) −24.2931 + 20.3844i −1.26809 + 1.06406i −0.273321 + 0.961923i \(0.588122\pi\)
−0.994771 + 0.102132i \(0.967434\pi\)
\(368\) 4.47178 + 3.75227i 0.233108 + 0.195601i
\(369\) 4.56624 0.237709
\(370\) −9.25624 + 19.3887i −0.481209 + 1.00797i
\(371\) −0.236177 −0.0122617
\(372\) 1.61334 + 1.35375i 0.0836478 + 0.0701889i
\(373\) 2.69665 2.26276i 0.139627 0.117161i −0.570299 0.821437i \(-0.693173\pi\)
0.709926 + 0.704276i \(0.248728\pi\)
\(374\) 1.74376 + 9.88933i 0.0901675 + 0.511365i
\(375\) −15.4427 5.62068i −0.797457 0.290251i
\(376\) 5.12836 0.264475
\(377\) −19.6925 7.16750i −1.01422 0.369145i
\(378\) −2.03936 + 3.53228i −0.104894 + 0.181681i
\(379\) −2.14068 + 12.1404i −0.109959 + 0.623611i 0.879164 + 0.476520i \(0.158102\pi\)
−0.989123 + 0.147091i \(0.953009\pi\)
\(380\) 8.19119 + 14.1876i 0.420199 + 0.727806i
\(381\) −4.77972 + 8.27871i −0.244872 + 0.424131i
\(382\) 10.6664 + 8.95015i 0.545739 + 0.457930i
\(383\) 4.24732 + 24.0878i 0.217028 + 1.23083i 0.877352 + 0.479846i \(0.159308\pi\)
−0.660324 + 0.750980i \(0.729581\pi\)
\(384\) −0.939693 1.62760i −0.0479535 0.0830579i
\(385\) −9.76991 + 3.55596i −0.497921 + 0.181228i
\(386\) −10.8785 + 3.95945i −0.553701 + 0.201531i
\(387\) 0.518885 2.94274i 0.0263764 0.149588i
\(388\) −13.0719 + 10.9686i −0.663626 + 0.556848i
\(389\) 10.7909 9.05461i 0.547118 0.459087i −0.326846 0.945078i \(-0.605986\pi\)
0.873964 + 0.485991i \(0.161541\pi\)
\(390\) 7.39053 41.9138i 0.374234 2.12239i
\(391\) 16.4564 5.98962i 0.832234 0.302908i
\(392\) −5.85117 + 2.12965i −0.295529 + 0.107564i
\(393\) 3.06418 + 5.30731i 0.154567 + 0.267718i
\(394\) −2.51027 14.2364i −0.126465 0.717221i
\(395\) 31.3371 + 26.2949i 1.57674 + 1.32304i
\(396\) −0.890530 + 1.54244i −0.0447508 + 0.0775107i
\(397\) 8.17412 + 14.1580i 0.410247 + 0.710569i 0.994917 0.100703i \(-0.0321091\pi\)
−0.584669 + 0.811272i \(0.698776\pi\)
\(398\) 0.992726 5.63003i 0.0497609 0.282208i
\(399\) −3.83275 + 6.63852i −0.191877 + 0.332341i
\(400\) −7.02481 2.55682i −0.351241 0.127841i
\(401\) 32.2763 1.61180 0.805901 0.592050i \(-0.201681\pi\)
0.805901 + 0.592050i \(0.201681\pi\)
\(402\) −15.0680 5.48432i −0.751526 0.273533i
\(403\) 1.24763 + 7.07564i 0.0621487 + 0.352463i
\(404\) 0.832282 0.698367i 0.0414076 0.0347451i
\(405\) 27.9047 + 23.4148i 1.38659 + 1.16349i
\(406\) −2.87433 −0.142651
\(407\) 20.2986 1.59040i 1.00616 0.0788331i
\(408\) −5.63816 −0.279130
\(409\) −11.4855 9.63744i −0.567919 0.476541i 0.313036 0.949741i \(-0.398654\pi\)
−0.880955 + 0.473201i \(0.843099\pi\)
\(410\) 23.2199 19.4838i 1.14675 0.962236i
\(411\) 0.520945 + 2.95442i 0.0256963 + 0.145731i
\(412\) −10.5385 3.83570i −0.519194 0.188971i
\(413\) −6.69965 −0.329668
\(414\) 2.91875 + 1.06234i 0.143449 + 0.0522110i
\(415\) 7.36484 12.7563i 0.361526 0.626181i
\(416\) 1.11334 6.31407i 0.0545860 0.309573i
\(417\) 11.0915 + 19.2111i 0.543154 + 0.940770i
\(418\) 7.76264 13.4453i 0.379683 0.657631i
\(419\) −26.6125 22.3305i −1.30010 1.09092i −0.990127 0.140173i \(-0.955234\pi\)
−0.309977 0.950744i \(-0.600321\pi\)
\(420\) −1.01367 5.74881i −0.0494621 0.280513i
\(421\) −7.92262 13.7224i −0.386125 0.668788i 0.605800 0.795617i \(-0.292853\pi\)
−0.991925 + 0.126829i \(0.959520\pi\)
\(422\) −7.20321 + 2.62175i −0.350647 + 0.127625i
\(423\) 2.56418 0.933284i 0.124675 0.0453778i
\(424\) −0.0466368 + 0.264490i −0.00226488 + 0.0128448i
\(425\) −17.1800 + 14.4158i −0.833355 + 0.699268i
\(426\) 18.9290 15.8833i 0.917114 0.769550i
\(427\) −0.325008 + 1.84321i −0.0157282 + 0.0891992i
\(428\) −9.01754 + 3.28212i −0.435879 + 0.158647i
\(429\) −37.9013 + 13.7949i −1.82989 + 0.666026i
\(430\) −9.91787 17.1783i −0.478282 0.828409i
\(431\) −3.90167 22.1275i −0.187937 1.06584i −0.922123 0.386896i \(-0.873547\pi\)
0.734186 0.678948i \(-0.237564\pi\)
\(432\) 3.55303 + 2.98135i 0.170945 + 0.143440i
\(433\) 2.43124 4.21103i 0.116838 0.202369i −0.801675 0.597760i \(-0.796058\pi\)
0.918513 + 0.395391i \(0.129391\pi\)
\(434\) 0.492726 + 0.853427i 0.0236516 + 0.0409658i
\(435\) −3.76769 + 21.3677i −0.180647 + 1.02450i
\(436\) 1.11081 1.92399i 0.0531984 0.0921423i
\(437\) −25.4424 9.26027i −1.21707 0.442979i
\(438\) −16.1138 −0.769948
\(439\) 30.4136 + 11.0696i 1.45156 + 0.528325i 0.943027 0.332716i \(-0.107965\pi\)
0.508535 + 0.861042i \(0.330187\pi\)
\(440\) 2.05303 + 11.6433i 0.0978745 + 0.555074i
\(441\) −2.53802 + 2.12965i −0.120858 + 0.101412i
\(442\) −14.7344 12.3636i −0.700845 0.588079i
\(443\) −19.8844 −0.944738 −0.472369 0.881401i \(-0.656601\pi\)
−0.472369 + 0.881401i \(0.656601\pi\)
\(444\) −1.09967 + 11.3788i −0.0521880 + 0.540016i
\(445\) −29.5800 −1.40222
\(446\) 1.52616 + 1.28060i 0.0722657 + 0.0606381i
\(447\) 18.2271 15.2944i 0.862115 0.723400i
\(448\) −0.152704 0.866025i −0.00721457 0.0409159i
\(449\) −14.3503 5.22308i −0.677232 0.246492i −0.0195734 0.999808i \(-0.506231\pi\)
−0.657659 + 0.753316i \(0.728453\pi\)
\(450\) −3.97771 −0.187511
\(451\) −26.9932 9.82472i −1.27106 0.462628i
\(452\) 2.31521 4.01006i 0.108898 0.188617i
\(453\) 1.48158 8.40247i 0.0696108 0.394782i
\(454\) −9.74170 16.8731i −0.457200 0.791894i
\(455\) 9.95723 17.2464i 0.466802 0.808525i
\(456\) 6.67752 + 5.60310i 0.312703 + 0.262389i
\(457\) −2.33733 13.2557i −0.109336 0.620075i −0.989400 0.145219i \(-0.953611\pi\)
0.880064 0.474856i \(-0.157500\pi\)
\(458\) −6.40760 11.0983i −0.299408 0.518589i
\(459\) 13.0753 4.75903i 0.610304 0.222132i
\(460\) 19.3751 7.05196i 0.903369 0.328799i
\(461\) −2.29948 + 13.0410i −0.107097 + 0.607379i 0.883265 + 0.468875i \(0.155341\pi\)
−0.990362 + 0.138504i \(0.955771\pi\)
\(462\) −4.23783 + 3.55596i −0.197162 + 0.165438i
\(463\) 8.20162 6.88197i 0.381162 0.319832i −0.431997 0.901875i \(-0.642191\pi\)
0.813158 + 0.582043i \(0.197746\pi\)
\(464\) −0.567581 + 3.21891i −0.0263493 + 0.149434i
\(465\) 6.99020 2.54422i 0.324163 0.117986i
\(466\) 2.74035 0.997407i 0.126944 0.0462040i
\(467\) 7.86143 + 13.6164i 0.363784 + 0.630092i 0.988580 0.150696i \(-0.0481514\pi\)
−0.624796 + 0.780788i \(0.714818\pi\)
\(468\) −0.592396 3.35965i −0.0273835 0.155300i
\(469\) −5.74763 4.82283i −0.265401 0.222698i
\(470\) 9.05690 15.6870i 0.417764 0.723588i
\(471\) −16.8011 29.1004i −0.774155 1.34088i
\(472\) −1.32295 + 7.50281i −0.0608936 + 0.345345i
\(473\) −9.39899 + 16.2795i −0.432166 + 0.748533i
\(474\) 20.4538 + 7.44459i 0.939476 + 0.341941i
\(475\) 34.6732 1.59092
\(476\) −2.47906 0.902302i −0.113627 0.0413570i
\(477\) 0.0248149 + 0.140732i 0.00113620 + 0.00644370i
\(478\) −12.2665 + 10.2928i −0.561057 + 0.470783i
\(479\) 22.8353 + 19.1611i 1.04337 + 0.875492i 0.992381 0.123208i \(-0.0393181\pi\)
0.0509894 + 0.998699i \(0.483763\pi\)
\(480\) −6.63816 −0.302989
\(481\) −27.8259 + 27.3254i −1.26875 + 1.24593i
\(482\) −9.78880 −0.445868
\(483\) 7.39053 + 6.20139i 0.336281 + 0.282173i
\(484\) 0.156574 0.131381i 0.00711700 0.00597187i
\(485\) 10.4662 + 59.3565i 0.475244 + 2.69524i
\(486\) 5.13816 + 1.87014i 0.233071 + 0.0848311i
\(487\) −11.2550 −0.510011 −0.255005 0.966940i \(-0.582077\pi\)
−0.255005 + 0.966940i \(0.582077\pi\)
\(488\) 2.00000 + 0.727940i 0.0905357 + 0.0329523i
\(489\) −2.13176 + 3.69232i −0.0964015 + 0.166972i
\(490\) −3.81908 + 21.6591i −0.172528 + 0.978457i
\(491\) −0.519762 0.900255i −0.0234566 0.0406279i 0.854059 0.520176i \(-0.174134\pi\)
−0.877515 + 0.479548i \(0.840800\pi\)
\(492\) 8.06418 13.9676i 0.363561 0.629706i
\(493\) 7.51161 + 6.30299i 0.338306 + 0.283872i
\(494\) 5.16385 + 29.2856i 0.232333 + 1.31762i
\(495\) 3.14543 + 5.44804i 0.141377 + 0.244871i
\(496\) 1.05303 0.383273i 0.0472826 0.0172095i
\(497\) 10.8648 3.95448i 0.487355 0.177383i
\(498\) 1.36097 7.71843i 0.0609864 0.345871i
\(499\) 27.3332 22.9353i 1.22360 1.02672i 0.224974 0.974365i \(-0.427770\pi\)
0.998628 0.0523600i \(-0.0166743\pi\)
\(500\) −6.69846 + 5.62068i −0.299564 + 0.251364i
\(501\) 6.99912 39.6940i 0.312698 1.77340i
\(502\) 15.7344 5.72686i 0.702262 0.255602i
\(503\) −23.8926 + 8.69621i −1.06532 + 0.387745i −0.814425 0.580269i \(-0.802947\pi\)
−0.250896 + 0.968014i \(0.580725\pi\)
\(504\) −0.233956 0.405223i −0.0104212 0.0180501i
\(505\) −0.666374 3.77920i −0.0296533 0.168172i
\(506\) −14.9684 12.5600i −0.665426 0.558358i
\(507\) 26.4119 45.7468i 1.17300 2.03169i
\(508\) 2.54323 + 4.40501i 0.112838 + 0.195441i
\(509\) 0.00118205 0.00670372i 5.23933e−5 0.000297137i −0.984782 0.173797i \(-0.944396\pi\)
0.984834 + 0.173500i \(0.0555075\pi\)
\(510\) −9.95723 + 17.2464i −0.440914 + 0.763685i
\(511\) −7.08512 2.57877i −0.313427 0.114078i
\(512\) −1.00000 −0.0441942
\(513\) −20.2151 7.35770i −0.892520 0.324851i
\(514\) 3.78059 + 21.4408i 0.166755 + 0.945713i
\(515\) −30.3444 + 25.4619i −1.33713 + 1.12199i
\(516\) −8.08512 6.78422i −0.355928 0.298659i
\(517\) −17.1661 −0.754965
\(518\) −2.30453 + 4.82721i −0.101255 + 0.212095i
\(519\) 21.1780 0.929610
\(520\) −17.3478 14.5565i −0.760750 0.638345i
\(521\) 5.34595 4.48579i 0.234210 0.196526i −0.518127 0.855304i \(-0.673371\pi\)
0.752338 + 0.658778i \(0.228926\pi\)
\(522\) 0.302004 + 1.71275i 0.0132183 + 0.0749650i
\(523\) −37.1562 13.5237i −1.62473 0.591352i −0.640451 0.767999i \(-0.721253\pi\)
−0.984274 + 0.176647i \(0.943475\pi\)
\(524\) 3.26083 0.142450
\(525\) −11.6099 4.22567i −0.506699 0.184423i
\(526\) 10.5929 18.3474i 0.461871 0.799984i
\(527\) 0.583778 3.31077i 0.0254298 0.144219i
\(528\) 3.14543 + 5.44804i 0.136887 + 0.237096i
\(529\) −5.53818 + 9.59241i −0.240790 + 0.417061i
\(530\) 0.726682 + 0.609758i 0.0315650 + 0.0264862i
\(531\) 0.703926 + 3.99216i 0.0305478 + 0.173245i
\(532\) 2.03936 + 3.53228i 0.0884176 + 0.153144i
\(533\) 51.7033 18.8185i 2.23952 0.815118i
\(534\) −14.7900 + 5.38311i −0.640025 + 0.232950i
\(535\) −5.88578 + 33.3799i −0.254465 + 1.44314i
\(536\) −6.53596 + 5.48432i −0.282310 + 0.236887i
\(537\) 9.25877 7.76903i 0.399545 0.335258i
\(538\) −3.51320 + 19.9244i −0.151465 + 0.859001i
\(539\) 19.5856 7.12857i 0.843611 0.307049i
\(540\) 15.3944 5.60310i 0.662469 0.241119i
\(541\) 5.90554 + 10.2287i 0.253899 + 0.439766i 0.964596 0.263732i \(-0.0849535\pi\)
−0.710697 + 0.703498i \(0.751620\pi\)
\(542\) 2.31655 + 13.1378i 0.0995044 + 0.564318i
\(543\) −5.04323 4.23178i −0.216426 0.181603i
\(544\) −1.50000 + 2.59808i −0.0643120 + 0.111392i
\(545\) −3.92350 6.79569i −0.168064 0.291096i
\(546\) 1.84002 10.4353i 0.0787457 0.446589i
\(547\) −21.0582 + 36.4740i −0.900386 + 1.55951i −0.0733915 + 0.997303i \(0.523382\pi\)
−0.826994 + 0.562211i \(0.809951\pi\)
\(548\) 1.50000 + 0.545955i 0.0640768 + 0.0233221i
\(549\) 1.13247 0.0483328
\(550\) 23.5141 + 8.55845i 1.00265 + 0.364933i
\(551\) −2.63253 14.9298i −0.112150 0.636032i
\(552\) 8.40420 7.05196i 0.357707 0.300151i
\(553\) 7.80200 + 6.54666i 0.331775 + 0.278392i
\(554\) −32.2627 −1.37071
\(555\) 32.8644 + 23.4593i 1.39502 + 0.995792i
\(556\) 11.8033 0.500573
\(557\) 9.44537 + 7.92561i 0.400213 + 0.335819i 0.820576 0.571537i \(-0.193653\pi\)
−0.420363 + 0.907356i \(0.638097\pi\)
\(558\) 0.456767 0.383273i 0.0193365 0.0162252i
\(559\) −6.25237 35.4590i −0.264447 1.49975i
\(560\) −2.91875 1.06234i −0.123340 0.0448919i
\(561\) 18.8726 0.796801
\(562\) 4.05690 + 1.47659i 0.171130 + 0.0622863i
\(563\) −4.18866 + 7.25498i −0.176531 + 0.305761i −0.940690 0.339267i \(-0.889821\pi\)
0.764159 + 0.645028i \(0.223154\pi\)
\(564\) 1.67365 9.49173i 0.0704733 0.399674i
\(565\) −8.17752 14.1639i −0.344031 0.595879i
\(566\) 0.671122 1.16242i 0.0282094 0.0488600i
\(567\) 6.94743 + 5.82959i 0.291765 + 0.244820i
\(568\) −2.28312 12.9482i −0.0957975 0.543295i
\(569\) 4.14543 + 7.18009i 0.173785 + 0.301005i 0.939740 0.341889i \(-0.111067\pi\)
−0.765955 + 0.642894i \(0.777733\pi\)
\(570\) 28.9320 10.5304i 1.21183 0.441069i
\(571\) −0.0184183 + 0.00670372i −0.000770782 + 0.000280542i −0.342406 0.939552i \(-0.611242\pi\)
0.341635 + 0.939833i \(0.389019\pi\)
\(572\) −3.72668 + 21.1351i −0.155820 + 0.883701i
\(573\) 20.0462 16.8208i 0.837443 0.702698i
\(574\) 5.78106 4.85088i 0.241297 0.202472i
\(575\) 7.57785 42.9761i 0.316018 1.79223i
\(576\) −0.500000 + 0.181985i −0.0208333 + 0.00758271i
\(577\) −5.45811 + 1.98659i −0.227224 + 0.0827028i −0.453123 0.891448i \(-0.649690\pi\)
0.225899 + 0.974151i \(0.427468\pi\)
\(578\) −4.00000 6.92820i −0.166378 0.288175i
\(579\) 3.77807 + 21.4265i 0.157011 + 0.890454i
\(580\) 8.84389 + 7.42091i 0.367223 + 0.308136i
\(581\) 1.83363 3.17593i 0.0760716 0.131760i
\(582\) 16.0351 + 27.7736i 0.664676 + 1.15125i
\(583\) 0.156107 0.885328i 0.00646530 0.0366665i
\(584\) −4.28699 + 7.42528i −0.177397 + 0.307260i
\(585\) −11.3229 4.12122i −0.468146 0.170391i
\(586\) −2.75877 −0.113964
\(587\) 1.50640 + 0.548284i 0.0621756 + 0.0226301i 0.372921 0.927863i \(-0.378356\pi\)
−0.310745 + 0.950493i \(0.600579\pi\)
\(588\) 2.03209 + 11.5245i 0.0838019 + 0.475264i
\(589\) −3.98158 + 3.34094i −0.164058 + 0.137661i
\(590\) 20.6138 + 17.2970i 0.848657 + 0.712108i
\(591\) −27.1685 −1.11756
\(592\) 4.95084 + 3.53401i 0.203478 + 0.145247i
\(593\) 26.7543 1.09867 0.549334 0.835603i \(-0.314881\pi\)
0.549334 + 0.835603i \(0.314881\pi\)
\(594\) −11.8931 9.97946i −0.487978 0.409462i
\(595\) −7.13816 + 5.98962i −0.292636 + 0.245551i
\(596\) −2.19846 12.4681i −0.0900526 0.510713i
\(597\) −10.0963 3.67474i −0.413213 0.150397i
\(598\) 37.4270 1.53050
\(599\) 13.5077 + 4.91642i 0.551911 + 0.200879i 0.602895 0.797820i \(-0.294014\pi\)
−0.0509842 + 0.998699i \(0.516236\pi\)
\(600\) −7.02481 + 12.1673i −0.286787 + 0.496729i
\(601\) 0.333930 1.89381i 0.0136213 0.0772503i −0.977239 0.212140i \(-0.931957\pi\)
0.990861 + 0.134889i \(0.0430679\pi\)
\(602\) −2.46926 4.27688i −0.100639 0.174312i
\(603\) −2.26991 + 3.93161i −0.0924381 + 0.160107i
\(604\) −3.47771 2.91815i −0.141506 0.118738i
\(605\) −0.125362 0.710966i −0.00509671 0.0289049i
\(606\) −1.02094 1.76833i −0.0414730 0.0718334i
\(607\) −25.4354 + 9.25773i −1.03239 + 0.375760i −0.801991 0.597336i \(-0.796226\pi\)
−0.230401 + 0.973096i \(0.574004\pi\)
\(608\) 4.35844 1.58634i 0.176758 0.0643347i
\(609\) −0.938044 + 5.31991i −0.0380115 + 0.215574i
\(610\) 5.75877 4.83218i 0.233166 0.195649i
\(611\) 25.1878 21.1351i 1.01899 0.855033i
\(612\) −0.277189 + 1.57202i −0.0112047 + 0.0635450i
\(613\) −28.3332 + 10.3124i −1.14437 + 0.416516i −0.843489 0.537147i \(-0.819502\pi\)
−0.300879 + 0.953662i \(0.597280\pi\)
\(614\) −6.19119 + 2.25341i −0.249856 + 0.0909402i
\(615\) −28.4834 49.3347i −1.14856 1.98937i
\(616\) 0.511144 + 2.89884i 0.0205946 + 0.116798i
\(617\) −14.3289 12.0234i −0.576859 0.484042i 0.307055 0.951692i \(-0.400656\pi\)
−0.883914 + 0.467650i \(0.845101\pi\)
\(618\) −10.5385 + 18.2532i −0.423920 + 0.734251i
\(619\) 11.6891 + 20.2462i 0.469826 + 0.813762i 0.999405 0.0344985i \(-0.0109834\pi\)
−0.529579 + 0.848261i \(0.677650\pi\)
\(620\) 0.687319 3.89798i 0.0276034 0.156547i
\(621\) −13.5376 + 23.4478i −0.543246 + 0.940929i
\(622\) −17.8871 6.51038i −0.717208 0.261043i
\(623\) −7.36453 −0.295054
\(624\) −11.3229 4.12122i −0.453281 0.164981i
\(625\) −1.12748 6.39425i −0.0450991 0.255770i
\(626\) 9.81702 8.23746i 0.392367 0.329235i
\(627\) −22.3516 18.7552i −0.892638 0.749012i
\(628\) −17.8794 −0.713465
\(629\) 16.6079 7.56164i 0.662199 0.301502i
\(630\) −1.65270 −0.0658453
\(631\) 16.5077 + 13.8516i 0.657163 + 0.551425i 0.909235 0.416283i \(-0.136668\pi\)
−0.252072 + 0.967708i \(0.581112\pi\)
\(632\) 8.87211 7.44459i 0.352914 0.296130i
\(633\) 2.50165 + 14.1876i 0.0994316 + 0.563905i
\(634\) −18.3662 6.68474i −0.729414 0.265485i
\(635\) 17.9659 0.712953
\(636\) 0.474308 + 0.172634i 0.0188075 + 0.00684538i
\(637\) −19.9611 + 34.5736i −0.790888 + 1.36986i
\(638\) 1.89986 10.7747i 0.0752163 0.426573i
\(639\) −3.49794 6.05861i −0.138376 0.239675i
\(640\) −1.76604 + 3.05888i −0.0698090 + 0.120913i
\(641\) −4.34595 3.64669i −0.171655 0.144035i 0.552913 0.833239i \(-0.313516\pi\)
−0.724568 + 0.689203i \(0.757961\pi\)
\(642\) 3.13176 + 17.7611i 0.123601 + 0.700974i
\(643\) 12.9479 + 22.4264i 0.510615 + 0.884412i 0.999924 + 0.0123012i \(0.00391570\pi\)
−0.489309 + 0.872110i \(0.662751\pi\)
\(644\) 4.82383 1.75573i 0.190085 0.0691854i
\(645\) −35.0308 + 12.7502i −1.37934 + 0.502037i
\(646\) 2.41622 13.7031i 0.0950650 0.539140i
\(647\) 7.85638 6.59229i 0.308866 0.259170i −0.475157 0.879901i \(-0.657609\pi\)
0.784023 + 0.620732i \(0.213164\pi\)
\(648\) 7.90033 6.62916i 0.310354 0.260418i
\(649\) 4.42830 25.1141i 0.173826 0.985816i
\(650\) −45.0394 + 16.3930i −1.76659 + 0.642987i
\(651\) 1.74035 0.633436i 0.0682098 0.0248263i
\(652\) 1.13429 + 1.96464i 0.0444220 + 0.0769412i
\(653\) −5.75743 32.6520i −0.225306 1.27777i −0.862100 0.506738i \(-0.830851\pi\)
0.636795 0.771033i \(-0.280260\pi\)
\(654\) −3.19846 2.68383i −0.125070 0.104946i
\(655\) 5.75877 9.97448i 0.225014 0.389735i
\(656\) −4.29086 7.43199i −0.167530 0.290170i
\(657\) −0.792204 + 4.49281i −0.0309068 + 0.175281i
\(658\) 2.25490 3.90560i 0.0879052 0.152256i
\(659\) −11.4957 4.18410i −0.447810 0.162989i 0.108264 0.994122i \(-0.465471\pi\)
−0.556074 + 0.831133i \(0.687693\pi\)
\(660\) 22.2199 0.864907
\(661\) −15.5141 5.64668i −0.603430 0.219631i 0.0221961 0.999754i \(-0.492934\pi\)
−0.625626 + 0.780123i \(0.715156\pi\)
\(662\) −2.37851 13.4892i −0.0924433 0.524272i
\(663\) −27.6917 + 23.2361i −1.07545 + 0.902414i
\(664\) −3.19459 2.68058i −0.123974 0.104027i
\(665\) 14.4064 0.558657
\(666\) 3.11856 + 0.866025i 0.120842 + 0.0335578i
\(667\) −19.0803 −0.738791
\(668\) −16.4290 13.7856i −0.635658 0.533380i
\(669\) 2.86824 2.40674i 0.110893 0.0930499i
\(670\) 5.23308 + 29.6783i 0.202171 + 1.14657i
\(671\) −6.69459 2.43663i −0.258442 0.0940652i
\(672\) −1.65270 −0.0637544
\(673\) 44.5861 + 16.2280i 1.71867 + 0.625543i 0.997723 0.0674505i \(-0.0214865\pi\)
0.720944 + 0.692994i \(0.243709\pi\)
\(674\) −2.55690 + 4.42869i −0.0984883 + 0.170587i
\(675\) 6.02094 34.1465i 0.231746 1.31430i
\(676\) −14.0535 24.3414i −0.540519 0.936207i
\(677\) 4.41622 7.64912i 0.169729 0.293980i −0.768595 0.639735i \(-0.779044\pi\)
0.938325 + 0.345756i \(0.112377\pi\)
\(678\) −6.66637 5.59375i −0.256021 0.214827i
\(679\) 2.60576 + 14.7780i 0.100000 + 0.567128i
\(680\) 5.29813 + 9.17664i 0.203174 + 0.351908i
\(681\) −34.4085 + 12.5237i −1.31854 + 0.479909i
\(682\) −3.52481 + 1.28293i −0.134972 + 0.0491258i
\(683\) 7.12092 40.3847i 0.272474 1.54528i −0.474397 0.880311i \(-0.657334\pi\)
0.746872 0.664968i \(-0.231555\pi\)
\(684\) 1.89053 1.58634i 0.0722862 0.0606553i
\(685\) 4.31908 3.62414i 0.165023 0.138471i
\(686\) −2.01976 + 11.4546i −0.0771149 + 0.437340i
\(687\) −22.6322 + 8.23746i −0.863473 + 0.314279i
\(688\) −5.27719 + 1.92074i −0.201191 + 0.0732275i
\(689\) 0.860967 + 1.49124i 0.0328002 + 0.0568117i
\(690\) −6.72890 38.1615i −0.256165 1.45278i
\(691\) 35.5276 + 29.8112i 1.35153 + 1.13407i 0.978499 + 0.206252i \(0.0661267\pi\)
0.373033 + 0.927818i \(0.378318\pi\)
\(692\) 5.63429 9.75887i 0.214183 0.370977i
\(693\) 0.783119 + 1.35640i 0.0297482 + 0.0515254i
\(694\) −2.59833 + 14.7358i −0.0986311 + 0.559365i
\(695\) 20.8452 36.1050i 0.790705 1.36954i
\(696\) 5.77244 + 2.10100i 0.218804 + 0.0796381i
\(697\) −25.7452 −0.975167
\(698\) −12.5569 4.57034i −0.475286 0.172990i
\(699\) −0.951714 5.39744i −0.0359971 0.204150i
\(700\) −5.03596 + 4.22567i −0.190341 + 0.159715i
\(701\) 5.03390 + 4.22394i 0.190128 + 0.159536i 0.732883 0.680355i \(-0.238174\pi\)
−0.542755 + 0.839891i \(0.682619\pi\)
\(702\) 29.7374 1.12237
\(703\) −27.1841 7.54904i −1.02527 0.284717i
\(704\) 3.34730 0.126156
\(705\) −26.0783 21.8823i −0.982166 0.824135i
\(706\) −6.24557 + 5.24065i −0.235055 + 0.197235i
\(707\) −0.165907 0.940908i −0.00623959 0.0353865i
\(708\) 13.4547 + 4.89711i 0.505659 + 0.184045i
\(709\) −13.3105 −0.499885 −0.249942 0.968261i \(-0.580412\pi\)
−0.249942 + 0.968261i \(0.580412\pi\)
\(710\) −43.6391 15.8833i −1.63775 0.596091i
\(711\) 3.08125 5.33688i 0.115556 0.200149i
\(712\) −1.45424 + 8.24741i −0.0545000 + 0.309085i
\(713\) 3.27079 + 5.66518i 0.122492 + 0.212163i
\(714\) −2.47906 + 4.29385i −0.0927763 + 0.160693i
\(715\) 58.0681 + 48.7249i 2.17162 + 1.82221i
\(716\) −1.11674 6.33337i −0.0417347 0.236689i
\(717\) 15.0471 + 26.0623i 0.561944 + 0.973316i
\(718\) 1.02094 0.371593i 0.0381013 0.0138677i
\(719\) −17.4106 + 6.33694i −0.649306 + 0.236328i −0.645612 0.763665i \(-0.723398\pi\)
−0.00369326 + 0.999993i \(0.501176\pi\)
\(720\) −0.326352 + 1.85083i −0.0121624 + 0.0689765i
\(721\) −7.55484 + 6.33927i −0.281357 + 0.236087i
\(722\) −1.92468 + 1.61500i −0.0716291 + 0.0601039i
\(723\) −3.19459 + 18.1174i −0.118808 + 0.673795i
\(724\) −3.29174 + 1.19809i −0.122336 + 0.0445268i
\(725\) 22.9611 8.35716i 0.852754 0.310377i
\(726\) −0.192066 0.332669i −0.00712826 0.0123465i
\(727\) −3.89456 22.0872i −0.144441 0.819167i −0.967814 0.251666i \(-0.919021\pi\)
0.823373 0.567501i \(-0.192090\pi\)
\(728\) −4.31908 3.62414i −0.160076 0.134319i
\(729\) −10.3316 + 17.8948i −0.382651 + 0.662770i
\(730\) 15.1420 + 26.2268i 0.560432 + 0.970696i
\(731\) −2.92556 + 16.5916i −0.108206 + 0.613664i
\(732\) 2.00000 3.46410i 0.0739221 0.128037i
\(733\) 23.5205 + 8.56077i 0.868751 + 0.316199i 0.737661 0.675171i \(-0.235930\pi\)
0.131090 + 0.991371i \(0.458152\pi\)
\(734\) 31.7124 1.17053
\(735\) 38.8410 + 14.1370i 1.43267 + 0.521449i
\(736\) −1.01367 5.74881i −0.0373644 0.211904i
\(737\) 21.8778 18.3576i 0.805879 0.676213i
\(738\) −3.49794 2.93512i −0.128761 0.108043i
\(739\) 27.2327 1.00177 0.500885 0.865514i \(-0.333008\pi\)
0.500885 + 0.865514i \(0.333008\pi\)
\(740\) 19.5535 8.90279i 0.718801 0.327273i
\(741\) 55.8881 2.05310
\(742\) 0.180922 + 0.151812i 0.00664186 + 0.00557318i
\(743\) −1.71095 + 1.43566i −0.0627687 + 0.0526692i −0.673632 0.739067i \(-0.735267\pi\)
0.610864 + 0.791736i \(0.290822\pi\)
\(744\) −0.365715 2.07407i −0.0134078 0.0760391i
\(745\) −42.0210 15.2944i −1.53953 0.560343i
\(746\) −3.52023 −0.128885
\(747\) −2.08512 0.758922i −0.0762906 0.0277675i
\(748\) 5.02094 8.69653i 0.183584 0.317977i
\(749\) −1.46538 + 8.31061i −0.0535440 + 0.303663i
\(750\) 8.21688 + 14.2321i 0.300038 + 0.519681i
\(751\) 0.0839403 0.145389i 0.00306302 0.00530531i −0.864490 0.502650i \(-0.832358\pi\)
0.867553 + 0.497345i \(0.165692\pi\)
\(752\) −3.92855 3.29644i −0.143259 0.120209i
\(753\) −5.46451 30.9908i −0.199138 1.12937i
\(754\) 10.4782 + 18.1487i 0.381593 + 0.660938i
\(755\) −15.0680 + 5.48432i −0.548382 + 0.199595i
\(756\) 3.83275 1.39501i 0.139396 0.0507359i
\(757\) −6.06371 + 34.3890i −0.220389 + 1.24989i 0.650916 + 0.759149i \(0.274385\pi\)
−0.871306 + 0.490741i \(0.836726\pi\)
\(758\) 9.44356 7.92409i 0.343006 0.287816i
\(759\) −28.1313 + 23.6050i −1.02110 + 0.856807i
\(760\) 2.84477 16.1335i 0.103191 0.585223i
\(761\) 2.08347 0.758322i 0.0755259 0.0274892i −0.303981 0.952678i \(-0.598316\pi\)
0.379507 + 0.925189i \(0.376094\pi\)
\(762\) 8.98293 3.26952i 0.325417 0.118442i
\(763\) −0.976834 1.69193i −0.0353638 0.0612518i
\(764\) −2.41787 13.7124i −0.0874755 0.496098i
\(765\) 4.31908 + 3.62414i 0.156157 + 0.131031i
\(766\) 12.2297 21.1824i 0.441876 0.765352i
\(767\) 24.4231 + 42.3020i 0.881866 + 1.52744i
\(768\) −0.326352 + 1.85083i −0.0117762 + 0.0667862i
\(769\) 26.0710 45.1564i 0.940146 1.62838i 0.174955 0.984576i \(-0.444022\pi\)
0.765191 0.643804i \(-0.222645\pi\)
\(770\) 9.76991 + 3.55596i 0.352083 + 0.128148i
\(771\) 40.9172 1.47360