Properties

Label 224.2.bd.a.37.19
Level $224$
Weight $2$
Character 224.37
Analytic conductor $1.789$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 224.bd (of order \(24\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.78864900528\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 37.19
Character \(\chi\) \(=\) 224.37
Dual form 224.2.bd.a.109.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.674919 - 1.24277i) q^{2} +(-1.68352 + 2.19400i) q^{3} +(-1.08897 - 1.67754i) q^{4} +(-1.03656 + 0.795384i) q^{5} +(1.59041 + 3.57300i) q^{6} +(-2.17678 - 1.50387i) q^{7} +(-2.81977 + 0.221138i) q^{8} +(-1.20296 - 4.48951i) q^{9} +O(q^{10})\) \(q+(0.674919 - 1.24277i) q^{2} +(-1.68352 + 2.19400i) q^{3} +(-1.08897 - 1.67754i) q^{4} +(-1.03656 + 0.795384i) q^{5} +(1.59041 + 3.57300i) q^{6} +(-2.17678 - 1.50387i) q^{7} +(-2.81977 + 0.221138i) q^{8} +(-1.20296 - 4.48951i) q^{9} +(0.288885 + 1.82503i) q^{10} +(-4.26070 + 0.560932i) q^{11} +(5.51383 + 0.434969i) q^{12} +(-2.27797 + 0.943568i) q^{13} +(-3.33812 + 1.69026i) q^{14} -3.61327i q^{15} +(-1.62829 + 3.65358i) q^{16} +(3.88131 - 2.24088i) q^{17} +(-6.39134 - 1.53505i) q^{18} +(-0.511323 + 3.88389i) q^{19} +(2.46308 + 0.872731i) q^{20} +(6.96414 - 2.24407i) q^{21} +(-2.17852 + 5.67367i) q^{22} +(-0.0381893 - 0.142524i) q^{23} +(4.26195 - 6.55887i) q^{24} +(-0.852265 + 3.18070i) q^{25} +(-0.364807 + 3.46784i) q^{26} +(4.21029 + 1.74396i) q^{27} +(-0.152356 + 5.28931i) q^{28} +(-1.58979 - 3.83810i) q^{29} +(-4.49047 - 2.43866i) q^{30} +(0.922443 + 1.59772i) q^{31} +(3.44161 + 4.48947i) q^{32} +(5.94228 - 10.2923i) q^{33} +(-0.165331 - 6.33600i) q^{34} +(3.45253 - 0.172519i) q^{35} +(-6.22135 + 6.90695i) q^{36} +(8.33189 - 6.39328i) q^{37} +(4.48169 + 3.25677i) q^{38} +(1.76482 - 6.58639i) q^{39} +(2.74698 - 2.47202i) q^{40} +(-3.83132 + 3.83132i) q^{41} +(1.91136 - 10.1694i) q^{42} +(1.05197 - 2.53968i) q^{43} +(5.58076 + 6.53667i) q^{44} +(4.81783 + 3.69685i) q^{45} +(-0.202900 - 0.0487317i) q^{46} +(-7.48969 - 4.32417i) q^{47} +(-5.27471 - 9.72335i) q^{48} +(2.47675 + 6.54719i) q^{49} +(3.37767 + 3.20588i) q^{50} +(-1.61777 + 12.2882i) q^{51} +(4.06352 + 2.79388i) q^{52} +(-12.6474 + 1.66507i) q^{53} +(5.00895 - 4.05540i) q^{54} +(3.97034 - 3.97034i) q^{55} +(6.47058 + 3.75920i) q^{56} +(-7.66043 - 7.66043i) q^{57} +(-5.84287 - 0.614654i) q^{58} +(1.58571 + 12.0447i) q^{59} +(-6.06141 + 3.93474i) q^{60} +(1.42005 + 0.186953i) q^{61} +(2.60817 - 0.0680573i) q^{62} +(-4.13305 + 11.5818i) q^{63} +(7.90220 - 1.24711i) q^{64} +(1.61077 - 2.78993i) q^{65} +(-8.78048 - 14.3314i) q^{66} +(2.69528 - 3.51256i) q^{67} +(-7.98579 - 4.07082i) q^{68} +(0.376991 + 0.156155i) q^{69} +(2.11577 - 4.40714i) q^{70} +(-8.12432 - 8.12432i) q^{71} +(4.38487 + 12.3934i) q^{72} +(-14.1106 - 3.78093i) q^{73} +(-2.32205 - 14.6696i) q^{74} +(-5.54365 - 7.22463i) q^{75} +(7.07219 - 3.37167i) q^{76} +(10.1182 + 5.18652i) q^{77} +(-6.99428 - 6.63855i) q^{78} +(10.0474 + 5.80089i) q^{79} +(-1.21817 - 5.08229i) q^{80} +(1.16121 - 0.670423i) q^{81} +(2.17563 + 7.34730i) q^{82} +(-2.73278 + 1.13196i) q^{83} +(-11.3483 - 9.23891i) q^{84} +(-2.24087 + 5.40995i) q^{85} +(-2.44625 - 3.02143i) q^{86} +(11.0972 + 2.97350i) q^{87} +(11.8902 - 2.52390i) q^{88} +(-6.39177 + 1.71267i) q^{89} +(7.84599 - 3.49239i) q^{90} +(6.37765 + 1.37184i) q^{91} +(-0.197504 + 0.219269i) q^{92} +(-5.05835 - 0.665944i) q^{93} +(-10.4289 + 6.38952i) q^{94} +(-2.55916 - 4.43260i) q^{95} +(-15.6439 - 0.00719653i) q^{96} -11.6317 q^{97} +(9.80828 + 1.34078i) q^{98} +(7.64377 + 18.4537i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} + O(q^{10}) \) \( 240 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{8} - 4 q^{9} - 4 q^{10} - 4 q^{11} - 4 q^{12} - 16 q^{13} + 24 q^{14} - 24 q^{16} - 24 q^{18} - 4 q^{19} - 48 q^{20} - 8 q^{21} - 24 q^{22} - 12 q^{23} + 36 q^{24} - 4 q^{25} - 4 q^{26} - 16 q^{27} + 12 q^{28} - 16 q^{29} + 44 q^{30} - 56 q^{31} - 4 q^{32} - 8 q^{33} - 32 q^{34} - 32 q^{35} - 96 q^{36} - 4 q^{37} + 36 q^{38} - 4 q^{39} - 68 q^{40} - 16 q^{41} - 28 q^{42} + 44 q^{44} + 8 q^{45} - 4 q^{46} - 16 q^{48} + 8 q^{50} - 28 q^{51} - 28 q^{52} - 20 q^{53} - 92 q^{54} - 16 q^{55} - 48 q^{56} - 16 q^{57} + 28 q^{58} - 36 q^{59} + 60 q^{60} - 4 q^{61} - 16 q^{63} + 56 q^{64} - 8 q^{65} - 36 q^{66} + 36 q^{67} - 36 q^{68} - 16 q^{69} - 44 q^{70} + 48 q^{71} - 4 q^{72} - 4 q^{73} + 68 q^{74} + 16 q^{75} - 16 q^{76} - 8 q^{77} - 120 q^{78} - 16 q^{80} - 44 q^{82} - 96 q^{83} - 28 q^{84} - 56 q^{85} - 4 q^{86} - 4 q^{87} + 40 q^{88} - 4 q^{89} + 224 q^{90} - 56 q^{91} - 80 q^{92} + 20 q^{93} + 4 q^{94} - 8 q^{95} - 32 q^{96} - 32 q^{97} + 96 q^{98} + 8 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.674919 1.24277i 0.477240 0.878773i
\(3\) −1.68352 + 2.19400i −0.971979 + 1.26671i −0.00821140 + 0.999966i \(0.502614\pi\)
−0.963768 + 0.266742i \(0.914053\pi\)
\(4\) −1.08897 1.67754i −0.544485 0.838771i
\(5\) −1.03656 + 0.795384i −0.463566 + 0.355706i −0.813984 0.580887i \(-0.802706\pi\)
0.350419 + 0.936593i \(0.386039\pi\)
\(6\) 1.59041 + 3.57300i 0.649282 + 1.45867i
\(7\) −2.17678 1.50387i −0.822746 0.568409i
\(8\) −2.81977 + 0.221138i −0.996939 + 0.0781839i
\(9\) −1.20296 4.48951i −0.400987 1.49650i
\(10\) 0.288885 + 1.82503i 0.0913534 + 0.577126i
\(11\) −4.26070 + 0.560932i −1.28465 + 0.169127i −0.741754 0.670672i \(-0.766006\pi\)
−0.542897 + 0.839799i \(0.682673\pi\)
\(12\) 5.51383 + 0.434969i 1.59171 + 0.125565i
\(13\) −2.27797 + 0.943568i −0.631796 + 0.261699i −0.675516 0.737345i \(-0.736079\pi\)
0.0437199 + 0.999044i \(0.486079\pi\)
\(14\) −3.33812 + 1.69026i −0.892150 + 0.451740i
\(15\) 3.61327i 0.932942i
\(16\) −1.62829 + 3.65358i −0.407073 + 0.913396i
\(17\) 3.88131 2.24088i 0.941356 0.543492i 0.0509711 0.998700i \(-0.483768\pi\)
0.890385 + 0.455208i \(0.150435\pi\)
\(18\) −6.39134 1.53505i −1.50645 0.361814i
\(19\) −0.511323 + 3.88389i −0.117306 + 0.891024i 0.827057 + 0.562118i \(0.190013\pi\)
−0.944363 + 0.328906i \(0.893320\pi\)
\(20\) 2.46308 + 0.872731i 0.550761 + 0.195149i
\(21\) 6.96414 2.24407i 1.51970 0.489697i
\(22\) −2.17852 + 5.67367i −0.464462 + 1.20963i
\(23\) −0.0381893 0.142524i −0.00796302 0.0297184i 0.961830 0.273648i \(-0.0882302\pi\)
−0.969793 + 0.243929i \(0.921564\pi\)
\(24\) 4.26195 6.55887i 0.869968 1.33882i
\(25\) −0.852265 + 3.18070i −0.170453 + 0.636139i
\(26\) −0.364807 + 3.46784i −0.0715445 + 0.680098i
\(27\) 4.21029 + 1.74396i 0.810270 + 0.335625i
\(28\) −0.152356 + 5.28931i −0.0287925 + 0.999585i
\(29\) −1.58979 3.83810i −0.295217 0.712717i −0.999995 0.00328877i \(-0.998953\pi\)
0.704777 0.709428i \(-0.251047\pi\)
\(30\) −4.49047 2.43866i −0.819844 0.445237i
\(31\) 0.922443 + 1.59772i 0.165676 + 0.286959i 0.936895 0.349611i \(-0.113686\pi\)
−0.771219 + 0.636569i \(0.780353\pi\)
\(32\) 3.44161 + 4.48947i 0.608396 + 0.793633i
\(33\) 5.94228 10.2923i 1.03442 1.79167i
\(34\) −0.165331 6.33600i −0.0283540 1.08661i
\(35\) 3.45253 0.172519i 0.583584 0.0291610i
\(36\) −6.22135 + 6.90695i −1.03689 + 1.15116i
\(37\) 8.33189 6.39328i 1.36975 1.05105i 0.377608 0.925966i \(-0.376747\pi\)
0.992146 0.125084i \(-0.0399199\pi\)
\(38\) 4.48169 + 3.25677i 0.727026 + 0.528317i
\(39\) 1.76482 6.58639i 0.282597 1.05467i
\(40\) 2.74698 2.47202i 0.434336 0.390861i
\(41\) −3.83132 + 3.83132i −0.598352 + 0.598352i −0.939874 0.341522i \(-0.889058\pi\)
0.341522 + 0.939874i \(0.389058\pi\)
\(42\) 1.91136 10.1694i 0.294929 1.56918i
\(43\) 1.05197 2.53968i 0.160424 0.387297i −0.823145 0.567831i \(-0.807783\pi\)
0.983569 + 0.180534i \(0.0577826\pi\)
\(44\) 5.58076 + 6.53667i 0.841332 + 0.985440i
\(45\) 4.81783 + 3.69685i 0.718199 + 0.551094i
\(46\) −0.202900 0.0487317i −0.0299160 0.00718510i
\(47\) −7.48969 4.32417i −1.09248 0.630746i −0.158247 0.987400i \(-0.550584\pi\)
−0.934237 + 0.356654i \(0.883918\pi\)
\(48\) −5.27471 9.72335i −0.761339 1.40344i
\(49\) 2.47675 + 6.54719i 0.353822 + 0.935313i
\(50\) 3.37767 + 3.20588i 0.477675 + 0.453380i
\(51\) −1.61777 + 12.2882i −0.226533 + 1.72069i
\(52\) 4.06352 + 2.79388i 0.563508 + 0.387441i
\(53\) −12.6474 + 1.66507i −1.73726 + 0.228715i −0.931555 0.363602i \(-0.881547\pi\)
−0.805706 + 0.592316i \(0.798214\pi\)
\(54\) 5.00895 4.05540i 0.681631 0.551870i
\(55\) 3.97034 3.97034i 0.535360 0.535360i
\(56\) 6.47058 + 3.75920i 0.864668 + 0.502344i
\(57\) −7.66043 7.66043i −1.01465 1.01465i
\(58\) −5.84287 0.614654i −0.767206 0.0807080i
\(59\) 1.58571 + 12.0447i 0.206442 + 1.56808i 0.710050 + 0.704151i \(0.248672\pi\)
−0.503608 + 0.863932i \(0.667995\pi\)
\(60\) −6.06141 + 3.93474i −0.782524 + 0.507973i
\(61\) 1.42005 + 0.186953i 0.181818 + 0.0239368i 0.220886 0.975300i \(-0.429105\pi\)
−0.0390671 + 0.999237i \(0.512439\pi\)
\(62\) 2.60817 0.0680573i 0.331239 0.00864329i
\(63\) −4.13305 + 11.5818i −0.520716 + 1.45917i
\(64\) 7.90220 1.24711i 0.987775 0.155889i
\(65\) 1.61077 2.78993i 0.199791 0.346048i
\(66\) −8.78048 14.3314i −1.08080 1.76407i
\(67\) 2.69528 3.51256i 0.329281 0.429128i −0.599147 0.800639i \(-0.704494\pi\)
0.928429 + 0.371511i \(0.121160\pi\)
\(68\) −7.98579 4.07082i −0.968420 0.493659i
\(69\) 0.376991 + 0.156155i 0.0453844 + 0.0187988i
\(70\) 2.11577 4.40714i 0.252883 0.526754i
\(71\) −8.12432 8.12432i −0.964180 0.964180i 0.0352007 0.999380i \(-0.488793\pi\)
−0.999380 + 0.0352007i \(0.988793\pi\)
\(72\) 4.38487 + 12.3934i 0.516762 + 1.46057i
\(73\) −14.1106 3.78093i −1.65152 0.442524i −0.691484 0.722391i \(-0.743043\pi\)
−0.960039 + 0.279867i \(0.909710\pi\)
\(74\) −2.32205 14.6696i −0.269933 1.70531i
\(75\) −5.54365 7.22463i −0.640126 0.834228i
\(76\) 7.07219 3.37167i 0.811236 0.386757i
\(77\) 10.1182 + 5.18652i 1.15307 + 0.591058i
\(78\) −6.99428 6.63855i −0.791947 0.751668i
\(79\) 10.0474 + 5.80089i 1.13043 + 0.652651i 0.944042 0.329826i \(-0.106990\pi\)
0.186384 + 0.982477i \(0.440323\pi\)
\(80\) −1.21817 5.08229i −0.136196 0.568217i
\(81\) 1.16121 0.670423i 0.129023 0.0744914i
\(82\) 2.17563 + 7.34730i 0.240258 + 0.811373i
\(83\) −2.73278 + 1.13196i −0.299962 + 0.124248i −0.527588 0.849500i \(-0.676904\pi\)
0.227626 + 0.973749i \(0.426904\pi\)
\(84\) −11.3483 9.23891i −1.23820 1.00805i
\(85\) −2.24087 + 5.40995i −0.243057 + 0.586791i
\(86\) −2.44625 3.02143i −0.263786 0.325810i
\(87\) 11.0972 + 2.97350i 1.18975 + 0.318792i
\(88\) 11.8902 2.52390i 1.26750 0.269049i
\(89\) −6.39177 + 1.71267i −0.677526 + 0.181543i −0.581143 0.813802i \(-0.697394\pi\)
−0.0963834 + 0.995344i \(0.530727\pi\)
\(90\) 7.84599 3.49239i 0.827040 0.368131i
\(91\) 6.37765 + 1.37184i 0.668560 + 0.143807i
\(92\) −0.197504 + 0.219269i −0.0205912 + 0.0228604i
\(93\) −5.05835 0.665944i −0.524526 0.0690552i
\(94\) −10.4289 + 6.38952i −1.07566 + 0.659028i
\(95\) −2.55916 4.43260i −0.262564 0.454775i
\(96\) −15.6439 0.00719653i −1.59665 0.000734493i
\(97\) −11.6317 −1.18102 −0.590512 0.807029i \(-0.701074\pi\)
−0.590512 + 0.807029i \(0.701074\pi\)
\(98\) 9.80828 + 1.34078i 0.990786 + 0.135439i
\(99\) 7.64377 + 18.4537i 0.768228 + 1.85467i
\(100\) 6.26384 2.03397i 0.626384 0.203397i
\(101\) 0.732600 + 5.56465i 0.0728964 + 0.553703i 0.988455 + 0.151518i \(0.0484160\pi\)
−0.915558 + 0.402186i \(0.868251\pi\)
\(102\) 14.1795 + 10.3040i 1.40398 + 1.02025i
\(103\) 12.7133 3.40651i 1.25267 0.335653i 0.429305 0.903159i \(-0.358758\pi\)
0.823369 + 0.567506i \(0.192092\pi\)
\(104\) 6.21470 3.16439i 0.609402 0.310294i
\(105\) −5.43388 + 7.86529i −0.530293 + 0.767574i
\(106\) −6.46670 + 16.8417i −0.628101 + 1.63581i
\(107\) −8.17197 10.6499i −0.790014 1.02957i −0.998669 0.0515774i \(-0.983575\pi\)
0.208655 0.977989i \(-0.433092\pi\)
\(108\) −1.65931 8.96205i −0.159667 0.862374i
\(109\) 1.26328 + 0.969350i 0.121000 + 0.0928469i 0.667489 0.744620i \(-0.267369\pi\)
−0.546489 + 0.837467i \(0.684036\pi\)
\(110\) −2.25457 7.61389i −0.214965 0.725955i
\(111\) 29.0434i 2.75668i
\(112\) 9.03895 5.50431i 0.854100 0.520109i
\(113\) 19.2748i 1.81322i 0.421972 + 0.906609i \(0.361338\pi\)
−0.421972 + 0.906609i \(0.638662\pi\)
\(114\) −14.6904 + 4.35001i −1.37588 + 0.407416i
\(115\) 0.152947 + 0.117361i 0.0142624 + 0.0109439i
\(116\) −4.70734 + 6.84652i −0.437065 + 0.635683i
\(117\) 6.97647 + 9.09191i 0.644974 + 0.840547i
\(118\) 16.0390 + 6.15850i 1.47651 + 0.566936i
\(119\) −11.8188 0.959089i −1.08342 0.0879196i
\(120\) 0.799029 + 10.1886i 0.0729411 + 0.930086i
\(121\) 7.21378 1.93293i 0.655798 0.175720i
\(122\) 1.19076 1.63862i 0.107806 0.148354i
\(123\) −1.95583 14.8560i −0.176352 1.33952i
\(124\) 1.67573 3.28730i 0.150485 0.295208i
\(125\) −4.14644 10.0104i −0.370869 0.895357i
\(126\) 11.6040 + 12.9532i 1.03377 + 1.15396i
\(127\) 0.441727 0.0391969 0.0195985 0.999808i \(-0.493761\pi\)
0.0195985 + 0.999808i \(0.493761\pi\)
\(128\) 3.78346 10.6623i 0.334414 0.942426i
\(129\) 3.80105 + 6.58361i 0.334664 + 0.579655i
\(130\) −2.38011 3.88480i −0.208750 0.340719i
\(131\) −17.4744 2.30055i −1.52674 0.201000i −0.680084 0.733134i \(-0.738057\pi\)
−0.846660 + 0.532134i \(0.821390\pi\)
\(132\) −23.7368 + 1.23961i −2.06602 + 0.107894i
\(133\) 6.95390 7.68541i 0.602979 0.666409i
\(134\) −2.54622 5.72032i −0.219960 0.494161i
\(135\) −5.75135 + 1.54107i −0.494997 + 0.132634i
\(136\) −10.4489 + 7.17706i −0.895982 + 0.615428i
\(137\) 16.4922 + 4.41907i 1.40902 + 0.377546i 0.881576 0.472042i \(-0.156483\pi\)
0.527446 + 0.849589i \(0.323150\pi\)
\(138\) 0.448504 0.363123i 0.0381792 0.0309111i
\(139\) 0.644478 1.55591i 0.0546639 0.131970i −0.894188 0.447691i \(-0.852246\pi\)
0.948852 + 0.315721i \(0.102246\pi\)
\(140\) −4.04910 5.60389i −0.342212 0.473615i
\(141\) 22.0963 9.15258i 1.86084 0.770786i
\(142\) −15.5799 + 4.61343i −1.30744 + 0.387150i
\(143\) 9.17649 5.29805i 0.767377 0.443045i
\(144\) 18.3616 + 2.91511i 1.53013 + 0.242926i
\(145\) 4.70069 + 2.71394i 0.390371 + 0.225381i
\(146\) −14.2224 + 14.9845i −1.17705 + 1.24012i
\(147\) −18.5342 5.58831i −1.52868 0.460916i
\(148\) −19.7982 7.01500i −1.62740 0.576629i
\(149\) 4.28479 + 5.58405i 0.351024 + 0.457463i 0.935177 0.354180i \(-0.115240\pi\)
−0.584154 + 0.811643i \(0.698573\pi\)
\(150\) −12.7201 + 2.01346i −1.03859 + 0.164399i
\(151\) −6.84767 1.83483i −0.557255 0.149316i −0.0308102 0.999525i \(-0.509809\pi\)
−0.526445 + 0.850209i \(0.676475\pi\)
\(152\) 0.582941 11.0647i 0.0472827 0.897468i
\(153\) −14.7295 14.7295i −1.19081 1.19081i
\(154\) 13.2746 9.07414i 1.06970 0.731215i
\(155\) −2.22697 0.922442i −0.178875 0.0740923i
\(156\) −12.9708 + 4.21182i −1.03849 + 0.337216i
\(157\) 0.111356 0.145122i 0.00888721 0.0115820i −0.788889 0.614536i \(-0.789343\pi\)
0.797776 + 0.602954i \(0.206010\pi\)
\(158\) 13.9904 8.57156i 1.11302 0.681916i
\(159\) 17.6390 30.5517i 1.39887 2.42291i
\(160\) −7.13830 1.91622i −0.564332 0.151491i
\(161\) −0.131208 + 0.367676i −0.0103407 + 0.0289769i
\(162\) −0.0494634 1.89560i −0.00388622 0.148932i
\(163\) −4.90288 0.645476i −0.384023 0.0505576i −0.0639565 0.997953i \(-0.520372\pi\)
−0.320066 + 0.947395i \(0.603705\pi\)
\(164\) 10.5994 + 2.25501i 0.827674 + 0.176087i
\(165\) 2.02680 + 15.3951i 0.157786 + 1.19850i
\(166\) −0.437642 + 4.16020i −0.0339676 + 0.322895i
\(167\) −5.95251 5.95251i −0.460619 0.460619i 0.438240 0.898858i \(-0.355602\pi\)
−0.898858 + 0.438240i \(0.855602\pi\)
\(168\) −19.1410 + 7.86780i −1.47676 + 0.607014i
\(169\) −4.89354 + 4.89354i −0.376426 + 0.376426i
\(170\) 5.21093 + 6.43617i 0.399660 + 0.493632i
\(171\) 18.0518 2.37657i 1.38046 0.181741i
\(172\) −5.40598 + 1.00091i −0.412202 + 0.0763186i
\(173\) 1.96564 14.9305i 0.149445 1.13514i −0.738189 0.674594i \(-0.764319\pi\)
0.887634 0.460550i \(-0.152348\pi\)
\(174\) 11.1851 11.7845i 0.847942 0.893380i
\(175\) 6.63855 5.64198i 0.501827 0.426494i
\(176\) 4.88826 16.4802i 0.368466 1.24224i
\(177\) −29.0956 16.7984i −2.18696 1.26264i
\(178\) −2.18546 + 9.09943i −0.163808 + 0.682031i
\(179\) −3.86306 2.96423i −0.288739 0.221557i 0.454228 0.890886i \(-0.349915\pi\)
−0.742967 + 0.669329i \(0.766582\pi\)
\(180\) 0.955151 12.1079i 0.0711928 0.902467i
\(181\) −1.85145 + 4.46979i −0.137617 + 0.332237i −0.977631 0.210328i \(-0.932547\pi\)
0.840014 + 0.542565i \(0.182547\pi\)
\(182\) 6.00928 7.00010i 0.445437 0.518882i
\(183\) −2.80085 + 2.80085i −0.207045 + 0.207045i
\(184\) 0.139202 + 0.393441i 0.0102621 + 0.0290048i
\(185\) −3.55143 + 13.2541i −0.261106 + 0.974461i
\(186\) −4.24159 + 5.83692i −0.311009 + 0.427984i
\(187\) −15.2801 + 11.7249i −1.11739 + 0.857407i
\(188\) 0.902061 + 17.2732i 0.0657895 + 1.25977i
\(189\) −6.54219 10.1279i −0.475874 0.736699i
\(190\) −7.23594 + 0.188813i −0.524950 + 0.0136980i
\(191\) −2.36651 + 4.09892i −0.171235 + 0.296587i −0.938852 0.344322i \(-0.888109\pi\)
0.767617 + 0.640909i \(0.221442\pi\)
\(192\) −10.5673 + 19.4370i −0.762630 + 1.40274i
\(193\) 4.86971 + 8.43459i 0.350530 + 0.607135i 0.986342 0.164708i \(-0.0526682\pi\)
−0.635813 + 0.771843i \(0.719335\pi\)
\(194\) −7.85048 + 14.4556i −0.563631 + 1.03785i
\(195\) 3.40936 + 8.23093i 0.244150 + 0.589429i
\(196\) 8.28608 11.2845i 0.591863 0.806039i
\(197\) −1.98138 0.820712i −0.141167 0.0584733i 0.310981 0.950416i \(-0.399342\pi\)
−0.452149 + 0.891943i \(0.649342\pi\)
\(198\) 28.0927 + 2.95527i 1.99646 + 0.210022i
\(199\) −0.185187 + 0.691127i −0.0131276 + 0.0489927i −0.972179 0.234239i \(-0.924740\pi\)
0.959051 + 0.283232i \(0.0914067\pi\)
\(200\) 1.69982 9.15730i 0.120195 0.647519i
\(201\) 3.16902 + 11.8269i 0.223525 + 0.834207i
\(202\) 7.41004 + 2.84523i 0.521369 + 0.200190i
\(203\) −2.31137 + 10.7455i −0.162226 + 0.754189i
\(204\) 22.3756 10.6676i 1.56661 0.746879i
\(205\) 0.924041 7.01878i 0.0645378 0.490213i
\(206\) 4.34690 18.0988i 0.302863 1.26100i
\(207\) −0.593924 + 0.342902i −0.0412806 + 0.0238334i
\(208\) 0.261802 9.85917i 0.0181527 0.683610i
\(209\) 16.8349i 1.16449i
\(210\) 6.10735 + 12.0615i 0.421447 + 0.832324i
\(211\) 21.0923 8.73673i 1.45206 0.601462i 0.489369 0.872077i \(-0.337227\pi\)
0.962688 + 0.270615i \(0.0872271\pi\)
\(212\) 16.5659 + 19.4034i 1.13775 + 1.33263i
\(213\) 31.5022 4.14735i 2.15850 0.284171i
\(214\) −18.7509 + 2.96807i −1.28178 + 0.202893i
\(215\) 0.929585 + 3.46926i 0.0633972 + 0.236601i
\(216\) −12.2577 3.98651i −0.834030 0.271247i
\(217\) 0.394803 4.86512i 0.0268010 0.330266i
\(218\) 2.05729 0.915740i 0.139338 0.0620217i
\(219\) 32.0508 24.5935i 2.16580 1.66187i
\(220\) −10.9840 2.33683i −0.740540 0.157549i
\(221\) −6.72711 + 8.76694i −0.452514 + 0.589728i
\(222\) 36.0943 + 19.6019i 2.42249 + 1.31560i
\(223\) 16.2715 1.08962 0.544810 0.838560i \(-0.316602\pi\)
0.544810 + 0.838560i \(0.316602\pi\)
\(224\) −0.740057 14.9483i −0.0494472 0.998777i
\(225\) 15.3050 1.02033
\(226\) 23.9542 + 13.0089i 1.59341 + 0.865339i
\(227\) 12.6127 16.4371i 0.837131 1.09097i −0.157503 0.987518i \(-0.550344\pi\)
0.994634 0.103452i \(-0.0329889\pi\)
\(228\) −4.50872 + 21.1927i −0.298597 + 1.40352i
\(229\) −18.7477 + 14.3856i −1.23888 + 0.950628i −0.999793 0.0203699i \(-0.993516\pi\)
−0.239090 + 0.970998i \(0.576849\pi\)
\(230\) 0.249079 0.110870i 0.0164238 0.00731054i
\(231\) −28.4134 + 13.4677i −1.86946 + 0.886113i
\(232\) 5.33160 + 10.4710i 0.350037 + 0.687454i
\(233\) 1.35310 + 5.04982i 0.0886442 + 0.330825i 0.995979 0.0895834i \(-0.0285536\pi\)
−0.907335 + 0.420408i \(0.861887\pi\)
\(234\) 16.0077 2.53386i 1.04646 0.165644i
\(235\) 11.2029 1.47489i 0.730798 0.0962114i
\(236\) 18.4786 15.7764i 1.20286 1.02695i
\(237\) −29.6422 + 12.2782i −1.92547 + 0.797555i
\(238\) −9.16863 + 14.0407i −0.594314 + 0.910125i
\(239\) 11.9746i 0.774575i −0.921959 0.387287i \(-0.873412\pi\)
0.921959 0.387287i \(-0.126588\pi\)
\(240\) 13.2014 + 5.88345i 0.852145 + 0.379775i
\(241\) 9.43962 5.44997i 0.608060 0.351063i −0.164146 0.986436i \(-0.552487\pi\)
0.772206 + 0.635373i \(0.219154\pi\)
\(242\) 2.46652 10.2697i 0.158554 0.660158i
\(243\) −2.26850 + 17.2309i −0.145524 + 1.10537i
\(244\) −1.23277 2.58577i −0.0789198 0.165537i
\(245\) −7.77484 4.81662i −0.496716 0.307722i
\(246\) −19.7827 7.59596i −1.26130 0.484301i
\(247\) −2.49993 9.32986i −0.159067 0.593645i
\(248\) −2.95439 4.30121i −0.187604 0.273127i
\(249\) 2.11717 7.90140i 0.134170 0.500731i
\(250\) −15.2392 1.60312i −0.963809 0.101390i
\(251\) 6.96587 + 2.88536i 0.439682 + 0.182122i 0.591532 0.806281i \(-0.298523\pi\)
−0.151850 + 0.988403i \(0.548523\pi\)
\(252\) 23.9297 5.67883i 1.50743 0.357732i
\(253\) 0.242660 + 0.585833i 0.0152559 + 0.0368310i
\(254\) 0.298130 0.548966i 0.0187063 0.0344452i
\(255\) −8.09689 14.0242i −0.507047 0.878231i
\(256\) −10.6973 11.8982i −0.668583 0.743637i
\(257\) 4.74329 8.21562i 0.295878 0.512476i −0.679311 0.733851i \(-0.737721\pi\)
0.975189 + 0.221375i \(0.0710544\pi\)
\(258\) 10.7473 0.280439i 0.669100 0.0174594i
\(259\) −27.7514 + 1.38670i −1.72439 + 0.0861656i
\(260\) −6.43430 + 0.336020i −0.399039 + 0.0208391i
\(261\) −15.3187 + 11.7545i −0.948205 + 0.727583i
\(262\) −14.6528 + 20.1640i −0.905256 + 1.24574i
\(263\) −2.57835 + 9.62254i −0.158988 + 0.593351i 0.839743 + 0.542984i \(0.182706\pi\)
−0.998731 + 0.0503667i \(0.983961\pi\)
\(264\) −14.4798 + 30.3361i −0.891173 + 1.86706i
\(265\) 11.7855 11.7855i 0.723979 0.723979i
\(266\) −4.85790 13.8291i −0.297857 0.847919i
\(267\) 7.00305 16.9069i 0.428580 1.03468i
\(268\) −8.82755 0.696378i −0.539229 0.0425381i
\(269\) 0.796708 + 0.611336i 0.0485761 + 0.0372738i 0.632764 0.774345i \(-0.281920\pi\)
−0.584188 + 0.811618i \(0.698587\pi\)
\(270\) −1.96649 + 8.18772i −0.119677 + 0.498289i
\(271\) 17.9715 + 10.3759i 1.09169 + 0.630289i 0.934027 0.357203i \(-0.116270\pi\)
0.157666 + 0.987492i \(0.449603\pi\)
\(272\) 1.86732 + 17.8295i 0.113223 + 1.08107i
\(273\) −13.7467 + 11.6831i −0.831988 + 0.707092i
\(274\) 16.6228 17.5135i 1.00422 1.05803i
\(275\) 1.84709 14.0301i 0.111384 0.846045i
\(276\) −0.148576 0.802466i −0.00894320 0.0483028i
\(277\) −22.1497 + 2.91607i −1.33085 + 0.175210i −0.762184 0.647360i \(-0.775873\pi\)
−0.568664 + 0.822570i \(0.692540\pi\)
\(278\) −1.49867 1.85105i −0.0898842 0.111019i
\(279\) 6.06331 6.06331i 0.363001 0.363001i
\(280\) −9.69718 + 1.24995i −0.579517 + 0.0746986i
\(281\) −0.637379 0.637379i −0.0380229 0.0380229i 0.687840 0.725863i \(-0.258559\pi\)
−0.725863 + 0.687840i \(0.758559\pi\)
\(282\) 3.53862 33.6379i 0.210721 2.00311i
\(283\) 1.87845 + 14.2682i 0.111662 + 0.848159i 0.952000 + 0.306097i \(0.0990231\pi\)
−0.840338 + 0.542063i \(0.817644\pi\)
\(284\) −4.78175 + 22.4760i −0.283745 + 1.33371i
\(285\) 14.0335 + 1.84755i 0.831274 + 0.109439i
\(286\) −0.390887 14.9801i −0.0231137 0.885789i
\(287\) 14.1018 2.57814i 0.832401 0.152183i
\(288\) 16.0154 20.8518i 0.943716 1.22870i
\(289\) 1.54305 2.67265i 0.0907678 0.157215i
\(290\) 6.54539 4.01019i 0.384359 0.235487i
\(291\) 19.5822 25.5201i 1.14793 1.49601i
\(292\) 9.02337 + 27.7885i 0.528053 + 1.62620i
\(293\) −8.69072 3.59981i −0.507717 0.210303i 0.114095 0.993470i \(-0.463603\pi\)
−0.621812 + 0.783166i \(0.713603\pi\)
\(294\) −19.4541 + 19.2622i −1.13459 + 1.12339i
\(295\) −11.2238 11.2238i −0.653477 0.653477i
\(296\) −22.0802 + 19.8701i −1.28339 + 1.15492i
\(297\) −18.9170 5.06880i −1.09768 0.294122i
\(298\) 9.83159 1.55624i 0.569529 0.0901508i
\(299\) 0.221476 + 0.288633i 0.0128083 + 0.0166921i
\(300\) −6.08275 + 17.1671i −0.351188 + 0.991143i
\(301\) −6.10925 + 3.94630i −0.352131 + 0.227461i
\(302\) −6.90189 + 7.27174i −0.397159 + 0.418441i
\(303\) −13.4422 7.76086i −0.772234 0.445850i
\(304\) −13.3575 8.19226i −0.766106 0.469858i
\(305\) −1.62067 + 0.935694i −0.0927993 + 0.0535777i
\(306\) −28.2466 + 8.36421i −1.61475 + 0.478150i
\(307\) −12.2071 + 5.05635i −0.696696 + 0.288581i −0.702787 0.711401i \(-0.748061\pi\)
0.00609090 + 0.999981i \(0.498061\pi\)
\(308\) −2.31780 22.6216i −0.132069 1.28899i
\(309\) −13.9291 + 33.6278i −0.792399 + 1.91302i
\(310\) −2.64941 + 2.14505i −0.150476 + 0.121830i
\(311\) 6.90577 + 1.85039i 0.391590 + 0.104926i 0.449241 0.893411i \(-0.351694\pi\)
−0.0576511 + 0.998337i \(0.518361\pi\)
\(312\) −3.51988 + 18.9624i −0.199274 + 1.07353i
\(313\) 12.1951 3.26768i 0.689310 0.184700i 0.102872 0.994695i \(-0.467197\pi\)
0.586437 + 0.809995i \(0.300530\pi\)
\(314\) −0.105198 0.236337i −0.00593665 0.0133372i
\(315\) −4.92778 15.2926i −0.277649 0.861641i
\(316\) −1.21012 23.1720i −0.0680744 1.30353i
\(317\) −12.6043 1.65939i −0.707927 0.0932004i −0.232039 0.972706i \(-0.574540\pi\)
−0.475888 + 0.879506i \(0.657873\pi\)
\(318\) −26.0639 42.5412i −1.46159 2.38559i
\(319\) 8.92655 + 15.4612i 0.499791 + 0.865663i
\(320\) −7.19920 + 7.57799i −0.402448 + 0.423623i
\(321\) 37.1236 2.07204
\(322\) 0.368383 + 0.411214i 0.0205292 + 0.0229160i
\(323\) 6.71870 + 16.2204i 0.373839 + 0.902526i
\(324\) −2.38918 1.21790i −0.132732 0.0676612i
\(325\) −1.05976 8.04971i −0.0587852 0.446518i
\(326\) −4.11122 + 5.65752i −0.227700 + 0.313341i
\(327\) −4.25351 + 1.13973i −0.235220 + 0.0630270i
\(328\) 9.95620 11.6507i 0.549739 0.643302i
\(329\) 9.80042 + 20.6763i 0.540315 + 1.13992i
\(330\) 20.5005 + 7.87157i 1.12852 + 0.433316i
\(331\) 17.3087 + 22.5571i 0.951371 + 1.23985i 0.970763 + 0.240038i \(0.0771601\pi\)
−0.0193927 + 0.999812i \(0.506173\pi\)
\(332\) 4.87482 + 3.35169i 0.267540 + 0.183948i
\(333\) −38.7256 29.7152i −2.12215 1.62838i
\(334\) −11.4151 + 3.38016i −0.624605 + 0.184954i
\(335\) 5.78478i 0.316057i
\(336\) −3.14075 + 29.0981i −0.171342 + 1.58743i
\(337\) 1.62473i 0.0885049i 0.999020 + 0.0442524i \(0.0140906\pi\)
−0.999020 + 0.0442524i \(0.985909\pi\)
\(338\) 2.77882 + 9.38431i 0.151148 + 0.510439i
\(339\) −42.2889 32.4494i −2.29682 1.76241i
\(340\) 11.5157 2.13211i 0.624524 0.115630i
\(341\) −4.82647 6.28998i −0.261368 0.340621i
\(342\) 9.22999 24.0383i 0.499101 1.29984i
\(343\) 4.45477 17.9765i 0.240535 0.970640i
\(344\) −2.40469 + 7.39393i −0.129652 + 0.398654i
\(345\) −0.514979 + 0.137988i −0.0277255 + 0.00742903i
\(346\) −17.2286 12.5197i −0.926213 0.673064i
\(347\) 1.30940 + 9.94589i 0.0702924 + 0.533923i 0.989973 + 0.141256i \(0.0451142\pi\)
−0.919681 + 0.392667i \(0.871552\pi\)
\(348\) −7.09640 21.8541i −0.380407 1.17150i
\(349\) 0.363706 + 0.878063i 0.0194687 + 0.0470017i 0.933315 0.359059i \(-0.116902\pi\)
−0.913846 + 0.406060i \(0.866902\pi\)
\(350\) −2.53123 12.0581i −0.135300 0.644532i
\(351\) −11.2365 −0.599758
\(352\) −17.1820 17.1978i −0.915802 0.916645i
\(353\) 2.17787 + 3.77218i 0.115916 + 0.200773i 0.918146 0.396243i \(-0.129686\pi\)
−0.802229 + 0.597016i \(0.796353\pi\)
\(354\) −40.5137 + 24.8217i −2.15328 + 1.31926i
\(355\) 14.8833 + 1.95943i 0.789925 + 0.103996i
\(356\) 9.83351 + 8.85741i 0.521175 + 0.469442i
\(357\) 22.0013 24.3157i 1.16443 1.28693i
\(358\) −6.29112 + 2.80029i −0.332496 + 0.148000i
\(359\) 11.9149 3.19258i 0.628844 0.168498i 0.0696987 0.997568i \(-0.477796\pi\)
0.559145 + 0.829070i \(0.311130\pi\)
\(360\) −14.4027 9.35886i −0.759088 0.493255i
\(361\) 3.52948 + 0.945720i 0.185762 + 0.0497747i
\(362\) 4.30536 + 5.31767i 0.226285 + 0.279491i
\(363\) −7.90367 + 19.0812i −0.414835 + 1.00150i
\(364\) −4.64376 12.1927i −0.243399 0.639069i
\(365\) 17.6339 7.30418i 0.922998 0.382318i
\(366\) 1.59047 + 5.37116i 0.0831354 + 0.280755i
\(367\) −24.2057 + 13.9751i −1.26353 + 0.729497i −0.973755 0.227599i \(-0.926912\pi\)
−0.289771 + 0.957096i \(0.593579\pi\)
\(368\) 0.582908 + 0.0925435i 0.0303862 + 0.00482416i
\(369\) 21.8097 + 12.5918i 1.13537 + 0.655504i
\(370\) 14.0749 + 13.3591i 0.731720 + 0.694504i
\(371\) 30.0348 + 15.3956i 1.55933 + 0.799301i
\(372\) 4.39124 + 9.21078i 0.227675 + 0.477557i
\(373\) −0.417193 0.543697i −0.0216015 0.0281516i 0.782428 0.622741i \(-0.213981\pi\)
−0.804029 + 0.594590i \(0.797314\pi\)
\(374\) 4.25849 + 26.9031i 0.220201 + 1.39113i
\(375\) 28.9435 + 7.75537i 1.49463 + 0.400486i
\(376\) 22.0754 + 10.5369i 1.13845 + 0.543400i
\(377\) 7.24301 + 7.24301i 0.373034 + 0.373034i
\(378\) −17.0022 + 1.29492i −0.874497 + 0.0666035i
\(379\) 3.29781 + 1.36600i 0.169397 + 0.0701666i 0.465770 0.884906i \(-0.345777\pi\)
−0.296373 + 0.955072i \(0.595777\pi\)
\(380\) −4.64902 + 9.12006i −0.238490 + 0.467849i
\(381\) −0.743655 + 0.969150i −0.0380986 + 0.0496511i
\(382\) 3.49682 + 5.70747i 0.178913 + 0.292020i
\(383\) −11.8150 + 20.4642i −0.603720 + 1.04567i 0.388532 + 0.921435i \(0.372982\pi\)
−0.992252 + 0.124239i \(0.960351\pi\)
\(384\) 17.0237 + 26.2512i 0.868736 + 1.33962i
\(385\) −14.6134 + 2.67169i −0.744769 + 0.136162i
\(386\) 13.7689 0.359285i 0.700821 0.0182871i
\(387\) −12.6674 1.66769i −0.643919 0.0847735i
\(388\) 12.6666 + 19.5127i 0.643049 + 0.990608i
\(389\) 1.12506 + 8.54569i 0.0570429 + 0.433284i 0.996007 + 0.0892699i \(0.0284534\pi\)
−0.938965 + 0.344014i \(0.888213\pi\)
\(390\) 12.5302 + 1.31814i 0.634492 + 0.0667469i
\(391\) −0.467604 0.467604i −0.0236478 0.0236478i
\(392\) −8.43170 17.9139i −0.425865 0.904787i
\(393\) 34.4658 34.4658i 1.73857 1.73857i
\(394\) −2.35723 + 1.90849i −0.118755 + 0.0961481i
\(395\) −15.0288 + 1.97857i −0.756179 + 0.0995528i
\(396\) 22.6330 32.9182i 1.13735 1.65420i
\(397\) 1.45036 11.0165i 0.0727912 0.552904i −0.915727 0.401801i \(-0.868384\pi\)
0.988518 0.151103i \(-0.0482825\pi\)
\(398\) 0.733928 + 0.696600i 0.0367885 + 0.0349174i
\(399\) 5.15480 + 28.1954i 0.258063 + 1.41153i
\(400\) −10.2332 8.29292i −0.511660 0.414646i
\(401\) −7.74991 4.47441i −0.387012 0.223442i 0.293853 0.955851i \(-0.405062\pi\)
−0.680865 + 0.732409i \(0.738396\pi\)
\(402\) 16.8370 + 4.04385i 0.839754 + 0.201689i
\(403\) −3.60886 2.76917i −0.179770 0.137942i
\(404\) 8.53715 7.28870i 0.424739 0.362626i
\(405\) −0.670422 + 1.61854i −0.0333135 + 0.0804260i
\(406\) 11.7943 + 10.1249i 0.585341 + 0.502489i
\(407\) −31.9135 + 31.9135i −1.58189 + 1.58189i
\(408\) 1.84436 35.0075i 0.0913092 1.73313i
\(409\) −6.05030 + 22.5800i −0.299168 + 1.11651i 0.638682 + 0.769470i \(0.279480\pi\)
−0.937850 + 0.347040i \(0.887187\pi\)
\(410\) −8.09910 5.88548i −0.399986 0.290663i
\(411\) −37.4603 + 28.7443i −1.84778 + 1.41785i
\(412\) −19.5589 17.6174i −0.963598 0.867949i
\(413\) 14.6619 28.6033i 0.721464 1.40748i
\(414\) 0.0252991 + 0.969544i 0.00124338 + 0.0476505i
\(415\) 1.93237 3.34695i 0.0948561 0.164296i
\(416\) −12.0760 6.97950i −0.592075 0.342198i
\(417\) 2.32867 + 4.03338i 0.114036 + 0.197516i
\(418\) −20.9220 11.3622i −1.02333 0.555743i
\(419\) 0.761838 + 1.83924i 0.0372182 + 0.0898527i 0.941396 0.337304i \(-0.109515\pi\)
−0.904177 + 0.427157i \(0.859515\pi\)
\(420\) 19.1117 + 0.550502i 0.932555 + 0.0268617i
\(421\) −30.7141 12.7222i −1.49691 0.620041i −0.524104 0.851654i \(-0.675600\pi\)
−0.972808 + 0.231613i \(0.925600\pi\)
\(422\) 3.37784 32.1096i 0.164431 1.56307i
\(423\) −10.4036 + 38.8268i −0.505841 + 1.88783i
\(424\) 35.2947 7.49193i 1.71406 0.363840i
\(425\) 3.81964 + 14.2551i 0.185280 + 0.691474i
\(426\) 16.1072 41.9492i 0.780398 2.03245i
\(427\) −2.80998 2.54252i −0.135984 0.123041i
\(428\) −8.96666 + 25.3063i −0.433420 + 1.22322i
\(429\) −3.82485 + 29.0526i −0.184666 + 1.40267i
\(430\) 4.93889 + 1.18620i 0.238175 + 0.0572038i
\(431\) −19.8876 + 11.4821i −0.957952 + 0.553074i −0.895542 0.444977i \(-0.853212\pi\)
−0.0624100 + 0.998051i \(0.519879\pi\)
\(432\) −13.2273 + 12.5430i −0.636397 + 0.603473i
\(433\) 20.8480i 1.00189i −0.865479 0.500945i \(-0.832986\pi\)
0.865479 0.500945i \(-0.167014\pi\)
\(434\) −5.77978 3.77421i −0.277438 0.181168i
\(435\) −13.8681 + 5.74435i −0.664924 + 0.275420i
\(436\) 0.250450 3.17480i 0.0119944 0.152045i
\(437\) 0.573075 0.0754468i 0.0274139 0.00360911i
\(438\) −8.93240 56.4305i −0.426806 2.69635i
\(439\) −1.91791 7.15772i −0.0915366 0.341619i 0.904935 0.425550i \(-0.139919\pi\)
−0.996472 + 0.0839305i \(0.973253\pi\)
\(440\) −10.3174 + 12.0734i −0.491865 + 0.575578i
\(441\) 26.4142 18.9954i 1.25782 0.904543i
\(442\) 6.35506 + 14.2772i 0.302279 + 0.679099i
\(443\) 12.6839 9.73270i 0.602630 0.462415i −0.261831 0.965114i \(-0.584326\pi\)
0.864461 + 0.502699i \(0.167660\pi\)
\(444\) 48.7215 31.6274i 2.31222 1.50097i
\(445\) 5.26325 6.85920i 0.249502 0.325157i
\(446\) 10.9819 20.2218i 0.520009 0.957528i
\(447\) −19.4649 −0.920660
\(448\) −19.0768 9.16918i −0.901296 0.433203i
\(449\) −11.1501 −0.526206 −0.263103 0.964768i \(-0.584746\pi\)
−0.263103 + 0.964768i \(0.584746\pi\)
\(450\) 10.3296 19.0206i 0.486944 0.896642i
\(451\) 14.1750 18.4732i 0.667476 0.869871i
\(452\) 32.3342 20.9896i 1.52087 0.987269i
\(453\) 15.5538 11.9348i 0.730780 0.560748i
\(454\) −11.9151 26.7684i −0.559204 1.25630i
\(455\) −7.70198 + 3.65069i −0.361075 + 0.171147i
\(456\) 23.2947 + 19.9066i 1.09087 + 0.932214i
\(457\) 2.92960 + 10.9334i 0.137041 + 0.511444i 0.999981 + 0.00613797i \(0.00195379\pi\)
−0.862940 + 0.505306i \(0.831380\pi\)
\(458\) 5.22488 + 33.0082i 0.244143 + 1.54237i
\(459\) 20.2494 2.66589i 0.945162 0.124433i
\(460\) 0.0303223 0.384377i 0.00141379 0.0179217i
\(461\) 19.1556 7.93451i 0.892165 0.369547i 0.110963 0.993825i \(-0.464607\pi\)
0.781203 + 0.624278i \(0.214607\pi\)
\(462\) −2.43937 + 44.4010i −0.113490 + 2.06572i
\(463\) 23.0901i 1.07309i −0.843873 0.536543i \(-0.819730\pi\)
0.843873 0.536543i \(-0.180270\pi\)
\(464\) 16.6115 + 0.441104i 0.771168 + 0.0204777i
\(465\) 5.77298 3.33303i 0.267716 0.154566i
\(466\) 7.18901 + 1.72663i 0.333024 + 0.0799845i
\(467\) −1.98835 + 15.1030i −0.0920098 + 0.698884i 0.881817 + 0.471592i \(0.156320\pi\)
−0.973827 + 0.227292i \(0.927013\pi\)
\(468\) 7.65489 21.6041i 0.353848 0.998651i
\(469\) −11.1495 + 3.59273i −0.514835 + 0.165897i
\(470\) 5.72811 14.9181i 0.264218 0.688122i
\(471\) 0.130929 + 0.488632i 0.00603287 + 0.0225150i
\(472\) −7.13487 33.6125i −0.328409 1.54714i
\(473\) −3.05754 + 11.4109i −0.140586 + 0.524674i
\(474\) −4.74706 + 45.1253i −0.218040 + 2.07268i
\(475\) −11.9177 4.93646i −0.546820 0.226500i
\(476\) 11.2613 + 20.8709i 0.516163 + 0.956615i
\(477\) 22.6897 + 54.7778i 1.03889 + 2.50810i
\(478\) −14.8818 8.08191i −0.680676 0.369658i
\(479\) −7.99275 13.8439i −0.365198 0.632542i 0.623610 0.781736i \(-0.285665\pi\)
−0.988808 + 0.149194i \(0.952332\pi\)
\(480\) 16.2217 12.4355i 0.740414 0.567598i
\(481\) −12.9473 + 22.4254i −0.590347 + 1.02251i
\(482\) −0.402096 15.4096i −0.0183150 0.701888i
\(483\) −0.585791 0.906861i −0.0266544 0.0412636i
\(484\) −11.0981 9.99651i −0.504461 0.454387i
\(485\) 12.0570 9.25170i 0.547482 0.420098i
\(486\) 19.8831 + 14.4487i 0.901916 + 0.655407i
\(487\) 3.28547 12.2615i 0.148879 0.555623i −0.850673 0.525695i \(-0.823805\pi\)
0.999552 0.0299282i \(-0.00952788\pi\)
\(488\) −4.04555 0.213138i −0.183133 0.00964830i
\(489\) 9.67025 9.67025i 0.437304 0.437304i
\(490\) −11.2333 + 6.41154i −0.507471 + 0.289644i
\(491\) 6.36913 15.3764i 0.287435 0.693929i −0.712536 0.701636i \(-0.752453\pi\)
0.999970 + 0.00770731i \(0.00245334\pi\)
\(492\) −22.7918 + 19.4588i −1.02753 + 0.877268i
\(493\) −14.7712 11.3343i −0.665261 0.510473i
\(494\) −13.2821 3.19005i −0.597592 0.143527i
\(495\) −22.6010 13.0487i −1.01584 0.586496i
\(496\) −7.33940 + 0.768671i −0.329549 + 0.0345144i
\(497\) 5.46695 + 29.9028i 0.245226 + 1.34132i
\(498\) −8.39072 7.96397i −0.375997 0.356874i
\(499\) −4.58194 + 34.8033i −0.205116 + 1.55801i 0.510724 + 0.859745i \(0.329377\pi\)
−0.715840 + 0.698264i \(0.753956\pi\)
\(500\) −12.2775 + 17.8568i −0.549067 + 0.798582i
\(501\) 23.0810 3.03867i 1.03118 0.135758i
\(502\) 8.28724 6.70962i 0.369878 0.299465i
\(503\) −8.70134 + 8.70134i −0.387974 + 0.387974i −0.873964 0.485990i \(-0.838459\pi\)
0.485990 + 0.873964i \(0.338459\pi\)
\(504\) 9.09309 33.5719i 0.405039 1.49541i
\(505\) −5.18542 5.18542i −0.230748 0.230748i
\(506\) 0.891833 + 0.0938183i 0.0396468 + 0.00417073i
\(507\) −2.49808 18.9748i −0.110944 0.842701i
\(508\) −0.481027 0.741015i −0.0213421 0.0328772i
\(509\) −36.0870 4.75094i −1.59953 0.210582i −0.722622 0.691244i \(-0.757063\pi\)
−0.876906 + 0.480662i \(0.840396\pi\)
\(510\) −22.8937 + 0.597384i −1.01375 + 0.0264526i
\(511\) 25.0297 + 29.4508i 1.10725 + 1.30283i
\(512\) −22.0066 + 5.26405i −0.972563 + 0.232640i
\(513\) −8.92615 + 15.4605i −0.394099 + 0.682600i
\(514\) −7.00881 11.4397i −0.309146 0.504584i
\(515\) −10.4686 + 13.6430i −0.461303 + 0.601182i
\(516\) 6.90506 13.5458i 0.303978 0.596319i
\(517\) 34.3369 + 14.2228i 1.51014 + 0.625519i
\(518\) −17.0066 + 35.4246i −0.747225 + 1.55647i
\(519\) 29.4484 + 29.4484i 1.29264 + 1.29264i
\(520\) −3.92504 + 8.22317i −0.172124 + 0.360610i
\(521\) −20.8992 5.59993i −0.915611 0.245337i −0.229903 0.973214i \(-0.573841\pi\)
−0.685709 + 0.727876i \(0.740508\pi\)
\(522\) 4.26924 + 26.9710i 0.186860 + 1.18049i
\(523\) −7.85228 10.2333i −0.343356 0.447471i 0.589474 0.807788i \(-0.299335\pi\)
−0.932830 + 0.360317i \(0.882669\pi\)
\(524\) 15.1698 + 31.8192i 0.662696 + 1.39003i
\(525\) 1.20242 + 24.0634i 0.0524779 + 1.05021i
\(526\) 10.2185 + 9.69873i 0.445546 + 0.422885i
\(527\) 7.16058 + 4.13416i 0.311920 + 0.180087i
\(528\) 27.9281 + 38.4696i 1.21542 + 1.67417i
\(529\) 19.8997 11.4891i 0.865206 0.499527i
\(530\) −6.69246 22.6010i −0.290702 0.981725i
\(531\) 52.1671 21.6083i 2.26386 0.937721i
\(532\) −20.4652 3.29628i −0.887278 0.142912i
\(533\) 5.11254 12.3428i 0.221449 0.534624i
\(534\) −16.2849 20.1140i −0.704717 0.870416i
\(535\) 16.9416 + 4.53948i 0.732447 + 0.196259i
\(536\) −6.82332 + 10.5006i −0.294723 + 0.453559i
\(537\) 13.0071 3.48523i 0.561296 0.150399i
\(538\) 1.29746 0.577525i 0.0559377 0.0248989i
\(539\) −14.2252 26.5064i −0.612725 1.14171i
\(540\) 8.84825 + 7.96995i 0.380768 + 0.342972i
\(541\) 36.3096 + 4.78025i 1.56107 + 0.205519i 0.861020 0.508571i \(-0.169826\pi\)
0.700053 + 0.714091i \(0.253160\pi\)
\(542\) 25.0242 15.3317i 1.07488 0.658551i
\(543\) −6.68979 11.5871i −0.287086 0.497248i
\(544\) 23.4183 + 9.71280i 1.00405 + 0.416433i
\(545\) −2.08048 −0.0891179
\(546\) 5.24151 + 24.9692i 0.224316 + 1.06858i
\(547\) −7.19297 17.3654i −0.307549 0.742490i −0.999783 0.0208166i \(-0.993373\pi\)
0.692234 0.721673i \(-0.256627\pi\)
\(548\) −10.5463 32.4785i −0.450516 1.38741i
\(549\) −0.868934 6.60021i −0.0370852 0.281690i
\(550\) −16.1896 11.7647i −0.690325 0.501647i
\(551\) 15.7196 4.21206i 0.669679 0.179440i
\(552\) −1.09756 0.356954i −0.0467153 0.0151930i
\(553\) −13.1473 27.7373i −0.559080 1.17951i
\(554\) −11.3253 + 29.4952i −0.481164 + 1.25313i
\(555\) −23.1006 30.1053i −0.980568 1.27790i
\(556\) −3.31191 + 0.613197i −0.140456 + 0.0260053i
\(557\) 3.37464 + 2.58945i 0.142988 + 0.109719i 0.677779 0.735266i \(-0.262943\pi\)
−0.534790 + 0.844985i \(0.679609\pi\)
\(558\) −3.44307 11.6276i −0.145757 0.492234i
\(559\) 6.77792i 0.286675i
\(560\) −4.99141 + 12.8950i −0.210926 + 0.544913i
\(561\) 53.2637i 2.24880i
\(562\) −1.22230 + 0.361939i −0.0515595 + 0.0152675i
\(563\) −3.59441 2.75809i −0.151486 0.116240i 0.530238 0.847849i \(-0.322103\pi\)
−0.681724 + 0.731610i \(0.738769\pi\)
\(564\) −39.4160 27.1005i −1.65971 1.14114i
\(565\) −15.3308 19.9795i −0.644973 0.840546i
\(566\) 19.0000 + 7.29542i 0.798629 + 0.306649i
\(567\) −3.53592 0.286939i −0.148495 0.0120503i
\(568\) 24.7053 + 21.1121i 1.03661 + 0.885845i
\(569\) 8.40979 2.25340i 0.352557 0.0944673i −0.0781942 0.996938i \(-0.524915\pi\)
0.430751 + 0.902471i \(0.358249\pi\)
\(570\) 11.7676 16.1935i 0.492889 0.678273i
\(571\) 1.73055 + 13.1449i 0.0724215 + 0.550096i 0.988740 + 0.149645i \(0.0478131\pi\)
−0.916318 + 0.400451i \(0.868854\pi\)
\(572\) −18.8806 9.62454i −0.789439 0.402422i
\(573\) −5.00897 12.0927i −0.209253 0.505181i
\(574\) 6.31350 19.2653i 0.263520 0.804119i
\(575\) 0.485874 0.0202623
\(576\) −15.1050 33.9767i −0.629373 1.41570i
\(577\) −21.1783 36.6819i −0.881663 1.52709i −0.849491 0.527603i \(-0.823091\pi\)
−0.0321725 0.999482i \(-0.510243\pi\)
\(578\) −2.28006 3.72148i −0.0948379 0.154793i
\(579\) −26.7038 3.51562i −1.10977 0.146104i
\(580\) −0.566152 10.8410i −0.0235082 0.450148i
\(581\) 7.65098 + 1.64573i 0.317416 + 0.0682763i
\(582\) −18.4992 41.5602i −0.766818 1.72273i
\(583\) 52.9530 14.1887i 2.19309 0.587637i
\(584\) 40.6248 + 7.54096i 1.68107 + 0.312047i
\(585\) −14.4631 3.87538i −0.597976 0.160227i
\(586\) −10.3393 + 8.37101i −0.427112 + 0.345803i
\(587\) −2.75353 + 6.64762i −0.113650 + 0.274377i −0.970462 0.241253i \(-0.922442\pi\)
0.856812 + 0.515629i \(0.172442\pi\)
\(588\) 10.8086 + 37.1774i 0.445738 + 1.53317i
\(589\) −6.67702 + 2.76571i −0.275122 + 0.113959i
\(590\) −21.5238 + 6.37350i −0.886123 + 0.262393i
\(591\) 5.13633 2.96546i 0.211280 0.121983i
\(592\) 9.79165 + 40.8514i 0.402434 + 1.67898i
\(593\) 23.3385 + 13.4745i 0.958399 + 0.553332i 0.895680 0.444700i \(-0.146690\pi\)
0.0627188 + 0.998031i \(0.480023\pi\)
\(594\) −19.0668 + 20.0885i −0.782322 + 0.824243i
\(595\) 13.0137 8.40629i 0.533511 0.344624i
\(596\) 4.70147 13.2688i 0.192580 0.543510i
\(597\) −1.20457 1.56983i −0.0492998 0.0642487i
\(598\) 0.508183 0.0804403i 0.0207811 0.00328945i
\(599\) −17.6831 4.73818i −0.722513 0.193597i −0.121220 0.992626i \(-0.538681\pi\)
−0.601293 + 0.799029i \(0.705347\pi\)
\(600\) 17.2295 + 19.1459i 0.703390 + 0.781627i
\(601\) −20.0216 20.0216i −0.816699 0.816699i 0.168929 0.985628i \(-0.445969\pi\)
−0.985628 + 0.168929i \(0.945969\pi\)
\(602\) 0.781106 + 10.2558i 0.0318355 + 0.417997i
\(603\) −19.0120 7.87503i −0.774229 0.320696i
\(604\) 4.37890 + 13.4853i 0.178175 + 0.548710i
\(605\) −5.94013 + 7.74132i −0.241500 + 0.314729i
\(606\) −18.7174 + 11.4677i −0.760341 + 0.465842i
\(607\) −9.31676 + 16.1371i −0.378155 + 0.654985i −0.990794 0.135379i \(-0.956775\pi\)
0.612638 + 0.790363i \(0.290108\pi\)
\(608\) −19.1964 + 11.0712i −0.778515 + 0.448998i
\(609\) −19.6845 23.1615i −0.797657 0.938550i
\(610\) 0.0690350 + 2.64564i 0.00279514 + 0.107119i
\(611\) 21.1415 + 2.78333i 0.855292 + 0.112601i
\(612\) −8.66937 + 40.7493i −0.350439 + 1.64719i
\(613\) −1.75610 13.3389i −0.0709283 0.538754i −0.989612 0.143761i \(-0.954080\pi\)
0.918684 0.394993i \(-0.129253\pi\)
\(614\) −1.95491 + 18.5833i −0.0788937 + 0.749960i
\(615\) 13.8436 + 13.8436i 0.558228 + 0.558228i
\(616\) −29.6779 12.3873i −1.19576 0.499097i
\(617\) −15.6780 + 15.6780i −0.631171 + 0.631171i −0.948362 0.317191i \(-0.897260\pi\)
0.317191 + 0.948362i \(0.397260\pi\)
\(618\) 32.3908 + 40.0068i 1.30295 + 1.60931i
\(619\) 3.36698 0.443271i 0.135330 0.0178166i −0.0625567 0.998041i \(-0.519925\pi\)
0.197887 + 0.980225i \(0.436592\pi\)
\(620\) 0.877669 + 4.74035i 0.0352480 + 0.190377i
\(621\) 0.0877686 0.666669i 0.00352203 0.0267525i
\(622\) 6.96045 7.33343i 0.279089 0.294044i
\(623\) 16.4891 + 5.88428i 0.660622 + 0.235749i
\(624\) 21.1903 + 17.1725i 0.848291 + 0.687449i
\(625\) −1.99850 1.15384i −0.0799402 0.0461535i
\(626\) 4.16975 17.3612i 0.166657 0.693893i
\(627\) 36.9358 + 28.3419i 1.47508 + 1.13187i
\(628\) −0.364713 0.0287710i −0.0145536 0.00114809i
\(629\) 18.0121 43.4851i 0.718189 1.73386i
\(630\) −22.3311 4.19716i −0.889692 0.167219i
\(631\) −10.7990 + 10.7990i −0.429900 + 0.429900i −0.888594 0.458694i \(-0.848317\pi\)
0.458694 + 0.888594i \(0.348317\pi\)
\(632\) −29.6143 14.1353i −1.17799 0.562273i
\(633\) −16.3409 + 60.9851i −0.649493 + 2.42394i
\(634\) −10.5691 + 14.5443i −0.419753 + 0.577628i
\(635\) −0.457878 + 0.351342i −0.0181703 + 0.0139426i
\(636\) −70.4601 + 3.67966i −2.79393 + 0.145908i
\(637\) −11.8197 12.5773i −0.468313 0.498332i
\(638\) 25.2395 0.658596i 0.999242 0.0260741i
\(639\) −26.7010 + 46.2474i −1.05627 + 1.82952i
\(640\) 4.55885 + 14.0615i 0.180204 + 0.555830i
\(641\) −14.0025 24.2530i −0.553065 0.957936i −0.998051 0.0623990i \(-0.980125\pi\)
0.444987 0.895537i \(-0.353208\pi\)
\(642\) 25.0554 46.1362i 0.988859 1.82085i
\(643\) −9.24532 22.3202i −0.364600 0.880221i −0.994615 0.103639i \(-0.966951\pi\)
0.630015 0.776583i \(-0.283049\pi\)
\(644\) 0.759674 0.180281i 0.0299353 0.00710405i
\(645\) −9.17653 3.80104i −0.361326 0.149666i
\(646\) 24.6928 + 2.59762i 0.971526 + 0.102202i
\(647\) −0.517194 + 1.93019i −0.0203330 + 0.0758838i −0.975347 0.220677i \(-0.929173\pi\)
0.955014 + 0.296561i \(0.0958399\pi\)
\(648\) −3.12608 + 2.14722i −0.122804 + 0.0843510i
\(649\) −13.5125 50.4293i −0.530412 1.97952i
\(650\) −10.7192 4.11585i −0.420442 0.161437i
\(651\) 10.0094 + 9.05671i 0.392300 + 0.354960i
\(652\) 4.25627 + 8.92768i 0.166688 + 0.349635i
\(653\) 0.614189 4.66523i 0.0240351 0.182565i −0.975216 0.221254i \(-0.928985\pi\)
0.999251 + 0.0386895i \(0.0123183\pi\)
\(654\) −1.45436 + 6.05538i −0.0568698 + 0.236784i
\(655\) 19.9431 11.5142i 0.779243 0.449896i
\(656\) −7.75954 20.2366i −0.302959 0.790105i
\(657\) 67.8980i 2.64896i
\(658\) 32.3104 + 1.77512i 1.25959 + 0.0692015i
\(659\) 20.5217 8.50038i 0.799413 0.331128i 0.0546917 0.998503i \(-0.482582\pi\)
0.744721 + 0.667376i \(0.232582\pi\)
\(660\) 23.6187 20.1648i 0.919358 0.784914i
\(661\) −46.7909 + 6.16014i −1.81996 + 0.239602i −0.961793 0.273776i \(-0.911727\pi\)
−0.858163 + 0.513378i \(0.828394\pi\)
\(662\) 39.7153 6.28654i 1.54358 0.244333i
\(663\) −7.90948 29.5186i −0.307179 1.14641i
\(664\) 7.45550 3.79617i 0.289329 0.147320i
\(665\) −1.09531 + 13.4974i −0.0424744 + 0.523408i
\(666\) −63.0659 + 28.0718i −2.44375 + 1.08776i
\(667\) −0.486310 + 0.373159i −0.0188300 + 0.0144488i
\(668\) −3.50348 + 16.4677i −0.135554 + 0.637153i
\(669\) −27.3933 + 35.6997i −1.05909 + 1.38023i
\(670\) 7.18917 + 3.90426i 0.277742 + 0.150835i
\(671\) −6.15527 −0.237622
\(672\) 34.0426 + 23.5421i 1.31322 + 0.908155i
\(673\) 25.0361 0.965071 0.482536 0.875876i \(-0.339716\pi\)
0.482536 + 0.875876i \(0.339716\pi\)
\(674\) 2.01918 + 1.09656i 0.0777757 + 0.0422380i
\(675\) −9.13528 + 11.9053i −0.351617 + 0.458236i
\(676\) 13.5380 + 2.88020i 0.520694 + 0.110777i
\(677\) 26.8553 20.6068i 1.03213 0.791984i 0.0537024 0.998557i \(-0.482898\pi\)
0.978431 + 0.206573i \(0.0662311\pi\)
\(678\) −68.8688 + 30.6548i −2.64489 + 1.17729i
\(679\) 25.3197 + 17.4926i 0.971683 + 0.671305i
\(680\) 5.12240 15.7503i 0.196435 0.603998i
\(681\) 14.8295 + 55.3444i 0.568267 + 2.12080i
\(682\) −11.0745 + 1.75298i −0.424064 + 0.0671252i
\(683\) −41.3943 + 5.44966i −1.58391 + 0.208525i −0.870480 0.492203i \(-0.836192\pi\)
−0.713428 + 0.700729i \(0.752858\pi\)
\(684\) −23.6447 27.6947i −0.904077 1.05893i
\(685\) −20.6101 + 8.53697i −0.787470 + 0.326181i
\(686\) −19.3341 17.6690i −0.738180 0.674604i
\(687\) 65.3509i 2.49329i
\(688\) 7.56601 + 7.97879i 0.288451 + 0.304188i
\(689\) 27.2394 15.7267i 1.03774 0.599139i
\(690\) −0.176081 + 0.733133i −0.00670328 + 0.0279099i
\(691\) 3.69706 28.0819i 0.140643 1.06829i −0.764935 0.644107i \(-0.777229\pi\)
0.905578 0.424180i \(-0.139438\pi\)
\(692\) −27.1870 + 12.9614i −1.03350 + 0.492719i
\(693\) 11.1131 51.6649i 0.422153 1.96259i
\(694\) 13.2442 + 5.08538i 0.502744 + 0.193038i
\(695\) 0.569501 + 2.12540i 0.0216024 + 0.0806212i
\(696\) −31.9492 5.93056i −1.21103 0.224797i
\(697\) −6.28504 + 23.4561i −0.238063 + 0.888462i
\(698\) 1.33671 + 0.140618i 0.0505950 + 0.00532246i
\(699\) −13.3573 5.53277i −0.505219 0.209268i
\(700\) −16.6938 4.99249i −0.630968 0.188698i
\(701\) 7.55543 + 18.2404i 0.285365 + 0.688931i 0.999944 0.0106238i \(-0.00338173\pi\)
−0.714579 + 0.699555i \(0.753382\pi\)
\(702\) −7.58370 + 13.9644i −0.286228 + 0.527051i
\(703\) 20.5705 + 35.6291i 0.775831 + 1.34378i
\(704\) −32.9694 + 9.74618i −1.24258 + 0.367323i
\(705\) −15.6244 + 27.0623i −0.588449 + 1.01922i
\(706\) 6.15785 0.160682i 0.231754 0.00604735i
\(707\) 6.77379 13.2148i 0.254755 0.496992i
\(708\) 3.50429 + 67.1020i 0.131699 + 2.52185i
\(709\) −38.5136 + 29.5525i −1.44641 + 1.10987i −0.472926 + 0.881102i \(0.656802\pi\)
−0.973482 + 0.228766i \(0.926531\pi\)
\(710\) 12.4802 17.1742i 0.468372 0.644535i
\(711\) 13.9565 52.0863i 0.523409 1.95339i
\(712\) 17.6446 6.24279i 0.661258 0.233958i
\(713\) 0.192486 0.192486i 0.00720867 0.00720867i
\(714\) −15.3698 43.7538i −0.575202 1.63744i
\(715\) −5.29804 + 12.7906i −0.198136 + 0.478342i
\(716\) −0.765865 + 9.70840i −0.0286217 + 0.362820i
\(717\) 26.2724 + 20.1595i 0.981160 + 0.752871i
\(718\) 4.07392 16.9622i 0.152037 0.633025i
\(719\) −5.53533 3.19583i −0.206433 0.119184i 0.393220 0.919445i \(-0.371361\pi\)
−0.599653 + 0.800260i \(0.704695\pi\)
\(720\) −21.3516 + 11.5828i −0.795726 + 0.431665i
\(721\) −32.7969 11.7039i −1.22142 0.435875i
\(722\) 3.55742 3.74805i 0.132394 0.139488i
\(723\) −3.93452 + 29.8857i −0.146327 + 1.11146i
\(724\) 9.51443 1.76158i 0.353601 0.0654688i
\(725\) 13.5628 1.78557i 0.503708 0.0663144i
\(726\) 18.3792 + 22.7007i 0.682116 + 0.842502i
\(727\) −8.81027 + 8.81027i −0.326755 + 0.326755i −0.851351 0.524596i \(-0.824216\pi\)
0.524596 + 0.851351i \(0.324216\pi\)
\(728\) −18.2869 2.45792i −0.677757 0.0910966i
\(729\) −31.1413 31.1413i −1.15338 1.15338i
\(730\) 2.82398 26.8446i 0.104520 0.993564i
\(731\) −1.60808 12.2146i −0.0594771 0.451774i
\(732\) 7.74858 + 1.64850i 0.286396 + 0.0609304i
\(733\) 20.1676 + 2.65512i 0.744907 + 0.0980689i 0.493419 0.869792i \(-0.335747\pi\)
0.251488 + 0.967860i \(0.419080\pi\)
\(734\) 1.03108 + 39.5142i 0.0380578 + 1.45850i
\(735\) 23.6568 8.94917i 0.872593 0.330095i
\(736\) 0.508426 0.661963i 0.0187408 0.0244003i
\(737\) −9.51350 + 16.4779i −0.350434 + 0.606970i
\(738\) 30.3685 18.6060i 1.11788 0.684897i
\(739\) −7.51554 + 9.79444i −0.276464 + 0.360294i −0.910861 0.412712i \(-0.864581\pi\)
0.634398 + 0.773007i \(0.281248\pi\)
\(740\) 26.1017 8.47565i 0.959517 0.311571i
\(741\) 24.6784 + 10.2221i 0.906584 + 0.375519i
\(742\) 39.4043 26.9356i 1.44658 0.988837i
\(743\) −18.7385 18.7385i −0.687449 0.687449i 0.274218 0.961667i \(-0.411581\pi\)
−0.961667 + 0.274218i \(0.911581\pi\)
\(744\) 14.4106 + 0.759218i 0.528320 + 0.0278343i
\(745\) −8.88292 2.38017i −0.325445 0.0872027i
\(746\) −0.957264 + 0.151525i −0.0350479 + 0.00554774i
\(747\) 8.36935 + 10.9071i 0.306218 + 0.399072i
\(748\) 36.3086 + 12.8651i 1.32757 + 0.470393i
\(749\) 1.77250 + 35.4721i 0.0647658 + 1.29612i
\(750\) 29.1726 30.7359i 1.06523 1.12232i
\(751\) −46.5872 26.8972i −1.69999 0.981491i −0.945750 0.324895i \(-0.894671\pi\)
−0.754242 0.656596i \(-0.771996\pi\)
\(752\) 27.9941 20.3232i 1.02084 0.741110i
\(753\) −18.0577 + 10.4256i −0.658058 + 0.379930i
\(754\) 13.8899 4.11298i 0.505839 0.149786i
\(755\) 8.55744 3.54461i 0.311437 0.129001i
\(756\) −9.86579 + 22.0038i −0.358815 + 0.800271i
\(757\) −9.74510 + 23.5267i −0.354192 + 0.855094i 0.641902 + 0.766787i \(0.278146\pi\)
−0.996093 + 0.0883072i \(0.971854\pi\)
\(758\) 3.92338 3.17649i 0.142503 0.115375i
\(759\) −1.69384 0.453863i −0.0614825 0.0164742i
\(760\) 8.19646 + 11.9330i 0.297317 + 0.432854i
\(761\) 9.11027 2.44109i 0.330247 0.0884894i −0.0898858 0.995952i \(-0.528650\pi\)
0.420133 + 0.907463i \(0.361984\pi\)
\(762\) 0.702527 + 1.57829i 0.0254499 + 0.0571755i
\(763\) −1.29211 4.00987i −0.0467776 0.145167i
\(764\) 9.45316 0.493675i 0.342003 0.0178605i
\(765\) 26.9837 + 3.55247i 0.975597 + 0.128440i
\(766\) 17.4582 + 28.4951i 0.630791 + 1.02957i
\(767\) −14.9772 25.9412i −0.540794 0.936683i
\(768\) 44.1138 3.43916i 1.59182 0.124100i
\(769\) −40.4467 −1.45855 −0.729273 0.684223i \(-0.760142\pi\)
−0.729273 + 0.684223i \(0.760142\pi\)
\(770\) −6.54258 + 19.9643i −0.235778 + 0.719465i
\(771\) 10.0397 + 24.2379i 0.361570 + 0.872908i
\(772\) 8.84641 17.3542i 0.318389 0.624590i
\(773\)