Properties

Label 588.2.x.a.223.11
Level $588$
Weight $2$
Character 588.223
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 223.11
Character \(\chi\) \(=\) 588.223
Dual form 588.2.x.a.559.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.714341 - 1.22054i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-0.979434 + 1.74376i) q^{4} +(-0.481364 - 0.109868i) q^{5} +(1.34889 - 0.424835i) q^{6} +(2.64383 + 0.100845i) q^{7} +(2.82798 - 0.0502026i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\) \(q+(-0.714341 - 1.22054i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-0.979434 + 1.74376i) q^{4} +(-0.481364 - 0.109868i) q^{5} +(1.34889 - 0.424835i) q^{6} +(2.64383 + 0.100845i) q^{7} +(2.82798 - 0.0502026i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(0.209759 + 0.666007i) q^{10} +(-1.67567 - 3.47956i) q^{11} +(-1.48210 - 1.34290i) q^{12} +(2.14429 + 4.45265i) q^{13} +(-1.76551 - 3.29894i) q^{14} +(0.214227 - 0.444847i) q^{15} +(-2.08142 - 3.41580i) q^{16} +(-4.80460 + 3.83154i) q^{17} +(0.114027 + 1.40961i) q^{18} +4.39068 q^{19} +(0.663048 - 0.731775i) q^{20} +(-0.686624 + 2.55510i) q^{21} +(-3.04994 + 4.53081i) q^{22} +(4.21504 + 3.36138i) q^{23} +(-0.580341 + 2.76825i) q^{24} +(-4.28520 - 2.06365i) q^{25} +(3.90289 - 5.79790i) q^{26} +(0.623490 - 0.781831i) q^{27} +(-2.76531 + 4.51144i) q^{28} +(2.16863 + 2.71938i) q^{29} +(-0.695984 + 0.0562998i) q^{30} +7.28223 q^{31} +(-2.68228 + 4.98050i) q^{32} +(3.76519 - 0.859380i) q^{33} +(8.10868 + 3.12718i) q^{34} +(-1.26156 - 0.339015i) q^{35} +(1.63903 - 1.14612i) q^{36} +(5.96419 + 7.47886i) q^{37} +(-3.13644 - 5.35900i) q^{38} +(-4.81817 + 1.09971i) q^{39} +(-1.36680 - 0.286539i) q^{40} +(7.01981 + 1.60223i) q^{41} +(3.60909 - 0.987163i) q^{42} +(-1.75321 + 0.400160i) q^{43} +(7.70873 + 0.486033i) q^{44} +(0.386024 + 0.307844i) q^{45} +(1.09173 - 7.54580i) q^{46} +(0.0243075 - 0.0117059i) q^{47} +(3.79332 - 1.26914i) q^{48} +(6.97966 + 0.533232i) q^{49} +(0.542335 + 6.70441i) q^{50} +(-2.66635 - 5.53674i) q^{51} +(-9.86456 - 0.621957i) q^{52} +(5.85961 - 7.34772i) q^{53} +(-1.39964 - 0.202500i) q^{54} +(0.424313 + 1.85904i) q^{55} +(7.48176 + 0.152460i) q^{56} +(-0.977018 + 4.28060i) q^{57} +(1.76997 - 4.58947i) q^{58} +(1.17297 + 5.13913i) q^{59} +(0.565886 + 0.809259i) q^{60} +(-10.6765 + 8.51419i) q^{61} +(-5.20199 - 8.88825i) q^{62} +(-2.33825 - 1.23797i) q^{63} +(7.99496 - 0.283944i) q^{64} +(-0.542976 - 2.37893i) q^{65} +(-3.73854 - 3.98167i) q^{66} +9.84894i q^{67} +(-1.97551 - 12.1308i) q^{68} +(-4.21504 + 3.36138i) q^{69} +(0.487404 + 1.78196i) q^{70} +(-10.4933 - 8.36816i) q^{71} +(-2.56971 - 1.18178i) q^{72} +(-3.24450 + 6.73728i) q^{73} +(4.86778 - 12.6220i) q^{74} +(2.96545 - 3.71856i) q^{75} +(-4.30038 + 7.65630i) q^{76} +(-4.07928 - 9.36834i) q^{77} +(4.78406 + 5.09519i) q^{78} -6.48716i q^{79} +(0.626631 + 1.87292i) q^{80} +(0.623490 + 0.781831i) q^{81} +(-3.05896 - 9.71250i) q^{82} +(0.367717 + 0.177083i) q^{83} +(-3.78299 - 3.69986i) q^{84} +(2.73373 - 1.31649i) q^{85} +(1.74080 + 1.85402i) q^{86} +(-3.13377 + 1.50914i) q^{87} +(-4.91344 - 9.75601i) q^{88} +(5.31138 - 11.0292i) q^{89} +(0.0999829 - 0.691062i) q^{90} +(5.22010 + 11.9883i) q^{91} +(-9.98981 + 4.05778i) q^{92} +(-1.62045 + 7.09965i) q^{93} +(-0.0316514 - 0.0213063i) q^{94} +(-2.11351 - 0.482396i) q^{95} +(-4.25876 - 3.72330i) q^{96} -9.83181i q^{97} +(-4.33503 - 8.89986i) q^{98} +3.86202i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + O(q^{10}) \) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.714341 1.22054i −0.505115 0.863052i
\(3\) −0.222521 + 0.974928i −0.128473 + 0.562875i
\(4\) −0.979434 + 1.74376i −0.489717 + 0.871881i
\(5\) −0.481364 0.109868i −0.215272 0.0491345i 0.113524 0.993535i \(-0.463786\pi\)
−0.328797 + 0.944401i \(0.606643\pi\)
\(6\) 1.34889 0.424835i 0.550684 0.173438i
\(7\) 2.64383 + 0.100845i 0.999273 + 0.0381157i
\(8\) 2.82798 0.0502026i 0.999842 0.0177493i
\(9\) −0.900969 0.433884i −0.300323 0.144628i
\(10\) 0.209759 + 0.666007i 0.0663317 + 0.210610i
\(11\) −1.67567 3.47956i −0.505233 1.04913i −0.985131 0.171803i \(-0.945041\pi\)
0.479899 0.877324i \(-0.340673\pi\)
\(12\) −1.48210 1.34290i −0.427845 0.387662i
\(13\) 2.14429 + 4.45265i 0.594718 + 1.23494i 0.953463 + 0.301509i \(0.0974903\pi\)
−0.358746 + 0.933435i \(0.616795\pi\)
\(14\) −1.76551 3.29894i −0.471852 0.881678i
\(15\) 0.214227 0.444847i 0.0553132 0.114859i
\(16\) −2.08142 3.41580i −0.520354 0.853950i
\(17\) −4.80460 + 3.83154i −1.16529 + 0.929286i −0.998392 0.0566888i \(-0.981946\pi\)
−0.166896 + 0.985975i \(0.553374\pi\)
\(18\) 0.114027 + 1.40961i 0.0268763 + 0.332248i
\(19\) 4.39068 1.00729 0.503645 0.863910i \(-0.331992\pi\)
0.503645 + 0.863910i \(0.331992\pi\)
\(20\) 0.663048 0.731775i 0.148262 0.163630i
\(21\) −0.686624 + 2.55510i −0.149834 + 0.557569i
\(22\) −3.04994 + 4.53081i −0.650250 + 0.965972i
\(23\) 4.21504 + 3.36138i 0.878897 + 0.700897i 0.955128 0.296193i \(-0.0957173\pi\)
−0.0762311 + 0.997090i \(0.524289\pi\)
\(24\) −0.580341 + 2.76825i −0.118462 + 0.565067i
\(25\) −4.28520 2.06365i −0.857041 0.412729i
\(26\) 3.90289 5.79790i 0.765420 1.13706i
\(27\) 0.623490 0.781831i 0.119991 0.150464i
\(28\) −2.76531 + 4.51144i −0.522594 + 0.852582i
\(29\) 2.16863 + 2.71938i 0.402705 + 0.504976i 0.941292 0.337594i \(-0.109613\pi\)
−0.538587 + 0.842570i \(0.681042\pi\)
\(30\) −0.695984 + 0.0562998i −0.127069 + 0.0102789i
\(31\) 7.28223 1.30793 0.653963 0.756526i \(-0.273105\pi\)
0.653963 + 0.756526i \(0.273105\pi\)
\(32\) −2.68228 + 4.98050i −0.474165 + 0.880436i
\(33\) 3.76519 0.859380i 0.655436 0.149599i
\(34\) 8.10868 + 3.12718i 1.39063 + 0.536307i
\(35\) −1.26156 0.339015i −0.213243 0.0573041i
\(36\) 1.63903 1.14612i 0.273172 0.191019i
\(37\) 5.96419 + 7.47886i 0.980507 + 1.22952i 0.973298 + 0.229543i \(0.0737232\pi\)
0.00720888 + 0.999974i \(0.497705\pi\)
\(38\) −3.13644 5.35900i −0.508798 0.869344i
\(39\) −4.81817 + 1.09971i −0.771524 + 0.176095i
\(40\) −1.36680 0.286539i −0.216111 0.0453058i
\(41\) 7.01981 + 1.60223i 1.09631 + 0.250226i 0.732173 0.681119i \(-0.238506\pi\)
0.364138 + 0.931345i \(0.381364\pi\)
\(42\) 3.60909 0.987163i 0.556894 0.152323i
\(43\) −1.75321 + 0.400160i −0.267363 + 0.0610238i −0.354100 0.935207i \(-0.615213\pi\)
0.0867378 + 0.996231i \(0.472356\pi\)
\(44\) 7.70873 + 0.486033i 1.16214 + 0.0732723i
\(45\) 0.386024 + 0.307844i 0.0575450 + 0.0458906i
\(46\) 1.09173 7.54580i 0.160966 1.11257i
\(47\) 0.0243075 0.0117059i 0.00354562 0.00170748i −0.432110 0.901821i \(-0.642231\pi\)
0.435656 + 0.900113i \(0.356517\pi\)
\(48\) 3.79332 1.26914i 0.547519 0.183185i
\(49\) 6.97966 + 0.533232i 0.997094 + 0.0761761i
\(50\) 0.542335 + 6.70441i 0.0766978 + 0.948147i
\(51\) −2.66635 5.53674i −0.373364 0.775299i
\(52\) −9.86456 0.621957i −1.36797 0.0862500i
\(53\) 5.85961 7.34772i 0.804880 1.00929i −0.194716 0.980860i \(-0.562379\pi\)
0.999596 0.0284278i \(-0.00905007\pi\)
\(54\) −1.39964 0.202500i −0.190467 0.0275567i
\(55\) 0.424313 + 1.85904i 0.0572143 + 0.250672i
\(56\) 7.48176 + 0.152460i 0.999792 + 0.0203733i
\(57\) −0.977018 + 4.28060i −0.129409 + 0.566979i
\(58\) 1.76997 4.58947i 0.232408 0.602627i
\(59\) 1.17297 + 5.13913i 0.152708 + 0.669058i 0.992091 + 0.125518i \(0.0400592\pi\)
−0.839383 + 0.543540i \(0.817084\pi\)
\(60\) 0.565886 + 0.809259i 0.0730556 + 0.104475i
\(61\) −10.6765 + 8.51419i −1.36698 + 1.09013i −0.380763 + 0.924673i \(0.624339\pi\)
−0.986217 + 0.165457i \(0.947090\pi\)
\(62\) −5.20199 8.88825i −0.660654 1.12881i
\(63\) −2.33825 1.23797i −0.294592 0.155970i
\(64\) 7.99496 0.283944i 0.999370 0.0354930i
\(65\) −0.542976 2.37893i −0.0673479 0.295071i
\(66\) −3.73854 3.98167i −0.460182 0.490110i
\(67\) 9.84894i 1.20324i 0.798783 + 0.601620i \(0.205478\pi\)
−0.798783 + 0.601620i \(0.794522\pi\)
\(68\) −1.97551 12.1308i −0.239566 1.47108i
\(69\) −4.21504 + 3.36138i −0.507431 + 0.404663i
\(70\) 0.487404 + 1.78196i 0.0582560 + 0.212985i
\(71\) −10.4933 8.36816i −1.24533 0.993118i −0.999718 0.0237498i \(-0.992440\pi\)
−0.245612 0.969368i \(-0.578989\pi\)
\(72\) −2.56971 1.18178i −0.302843 0.139275i
\(73\) −3.24450 + 6.73728i −0.379740 + 0.788538i 0.620251 + 0.784403i \(0.287031\pi\)
−0.999991 + 0.00413532i \(0.998684\pi\)
\(74\) 4.86778 12.6220i 0.565868 1.46728i
\(75\) 2.96545 3.71856i 0.342421 0.429382i
\(76\) −4.30038 + 7.65630i −0.493288 + 0.878238i
\(77\) −4.07928 9.36834i −0.464877 1.06762i
\(78\) 4.78406 + 5.09519i 0.541688 + 0.576917i
\(79\) 6.48716i 0.729862i −0.931035 0.364931i \(-0.881093\pi\)
0.931035 0.364931i \(-0.118907\pi\)
\(80\) 0.626631 + 1.87292i 0.0700595 + 0.209399i
\(81\) 0.623490 + 0.781831i 0.0692766 + 0.0868702i
\(82\) −3.05896 9.71250i −0.337806 1.07257i
\(83\) 0.367717 + 0.177083i 0.0403622 + 0.0194374i 0.453956 0.891024i \(-0.350012\pi\)
−0.413594 + 0.910462i \(0.635727\pi\)
\(84\) −3.78299 3.69986i −0.412758 0.403688i
\(85\) 2.73373 1.31649i 0.296514 0.142794i
\(86\) 1.74080 + 1.85402i 0.187716 + 0.199924i
\(87\) −3.13377 + 1.50914i −0.335975 + 0.161797i
\(88\) −4.91344 9.75601i −0.523774 1.03999i
\(89\) 5.31138 11.0292i 0.563006 1.16909i −0.404099 0.914715i \(-0.632415\pi\)
0.967105 0.254378i \(-0.0818707\pi\)
\(90\) 0.0999829 0.691062i 0.0105391 0.0728444i
\(91\) 5.22010 + 11.9883i 0.547215 + 1.25672i
\(92\) −9.98981 + 4.05778i −1.04151 + 0.423053i
\(93\) −1.62045 + 7.09965i −0.168033 + 0.736199i
\(94\) −0.0316514 0.0213063i −0.00326459 0.00219758i
\(95\) −2.11351 0.482396i −0.216842 0.0494927i
\(96\) −4.25876 3.72330i −0.434658 0.380007i
\(97\) 9.83181i 0.998269i −0.866525 0.499134i \(-0.833651\pi\)
0.866525 0.499134i \(-0.166349\pi\)
\(98\) −4.33503 8.89986i −0.437904 0.899022i
\(99\) 3.86202i 0.388148i
\(100\) 7.79558 5.45117i 0.779558 0.545117i
\(101\) 11.0899 + 2.53120i 1.10349 + 0.251863i 0.735201 0.677850i \(-0.237088\pi\)
0.368285 + 0.929713i \(0.379945\pi\)
\(102\) −4.85313 + 7.20951i −0.480531 + 0.713848i
\(103\) 2.26827 9.93796i 0.223500 0.979216i −0.731321 0.682033i \(-0.761096\pi\)
0.954821 0.297183i \(-0.0960470\pi\)
\(104\) 6.28754 + 12.4844i 0.616544 + 1.22419i
\(105\) 0.611240 1.15450i 0.0596509 0.112667i
\(106\) −13.1540 1.90311i −1.27762 0.184847i
\(107\) −6.30596 + 13.0945i −0.609620 + 1.26589i 0.336382 + 0.941726i \(0.390797\pi\)
−0.946001 + 0.324163i \(0.894918\pi\)
\(108\) 0.752661 + 1.85297i 0.0724249 + 0.178302i
\(109\) −7.43618 + 3.58108i −0.712257 + 0.343005i −0.754678 0.656095i \(-0.772207\pi\)
0.0424214 + 0.999100i \(0.486493\pi\)
\(110\) 1.96592 1.84588i 0.187443 0.175997i
\(111\) −8.61851 + 4.15046i −0.818033 + 0.393944i
\(112\) −5.15844 9.24070i −0.487427 0.873164i
\(113\) 0.825872 + 0.397719i 0.0776915 + 0.0374142i 0.472326 0.881424i \(-0.343415\pi\)
−0.394635 + 0.918838i \(0.629129\pi\)
\(114\) 5.92256 1.86532i 0.554699 0.174703i
\(115\) −1.65966 2.08115i −0.154764 0.194068i
\(116\) −6.86599 + 1.11813i −0.637491 + 0.103816i
\(117\) 4.94207i 0.456895i
\(118\) 5.43461 5.10275i 0.500296 0.469746i
\(119\) −13.0889 + 9.64543i −1.19986 + 0.884195i
\(120\) 0.583497 1.26877i 0.0532658 0.115823i
\(121\) −2.44108 + 3.06102i −0.221917 + 0.278275i
\(122\) 18.0185 + 6.94900i 1.63132 + 0.629133i
\(123\) −3.12411 + 6.48728i −0.281692 + 0.584939i
\(124\) −7.13246 + 12.6985i −0.640514 + 1.14036i
\(125\) 3.76613 + 3.00339i 0.336853 + 0.268631i
\(126\) 0.159315 + 3.73826i 0.0141929 + 0.333031i
\(127\) 14.0865 11.2336i 1.24997 0.996821i 0.250385 0.968146i \(-0.419443\pi\)
0.999589 0.0286748i \(-0.00912872\pi\)
\(128\) −6.05769 9.55533i −0.535429 0.844580i
\(129\) 1.79830i 0.158332i
\(130\) −2.51571 + 2.36209i −0.220643 + 0.207169i
\(131\) −1.47699 6.47111i −0.129045 0.565384i −0.997566 0.0697309i \(-0.977786\pi\)
0.868521 0.495653i \(-0.165071\pi\)
\(132\) −2.18920 + 7.40731i −0.190546 + 0.644723i
\(133\) 11.6082 + 0.442777i 1.00656 + 0.0383936i
\(134\) 12.0210 7.03550i 1.03846 0.607775i
\(135\) −0.386024 + 0.307844i −0.0332236 + 0.0264950i
\(136\) −13.3950 + 11.0767i −1.14861 + 0.949822i
\(137\) 0.387691 + 1.69859i 0.0331227 + 0.145120i 0.988785 0.149344i \(-0.0477161\pi\)
−0.955663 + 0.294464i \(0.904859\pi\)
\(138\) 7.11368 + 2.74345i 0.605557 + 0.233538i
\(139\) 1.84449 8.08122i 0.156447 0.685440i −0.834480 0.551039i \(-0.814232\pi\)
0.990927 0.134401i \(-0.0429112\pi\)
\(140\) 1.82678 1.86782i 0.154391 0.157860i
\(141\) 0.00600346 + 0.0263029i 0.000505583 + 0.00221510i
\(142\) −2.71785 + 18.7853i −0.228077 + 1.57642i
\(143\) 11.9002 14.9223i 0.995142 1.24787i
\(144\) 0.393231 + 3.98062i 0.0327693 + 0.331719i
\(145\) −0.745128 1.54727i −0.0618795 0.128494i
\(146\) 10.5408 0.852669i 0.872362 0.0705674i
\(147\) −2.07298 + 6.68601i −0.170977 + 0.551453i
\(148\) −18.8829 + 3.07508i −1.55216 + 0.252770i
\(149\) −21.1678 + 10.1939i −1.73413 + 0.835115i −0.749165 + 0.662384i \(0.769545\pi\)
−0.984969 + 0.172731i \(0.944741\pi\)
\(150\) −6.65700 0.963134i −0.543541 0.0786395i
\(151\) −14.1545 11.2879i −1.15188 0.918594i −0.154294 0.988025i \(-0.549310\pi\)
−0.997587 + 0.0694306i \(0.977882\pi\)
\(152\) 12.4168 0.220424i 1.00713 0.0178787i
\(153\) 5.99124 1.36746i 0.484363 0.110553i
\(154\) −8.52043 + 11.6711i −0.686596 + 0.940485i
\(155\) −3.50540 0.800085i −0.281560 0.0642643i
\(156\) 2.80143 9.47884i 0.224294 0.758914i
\(157\) −17.8366 + 4.07108i −1.42351 + 0.324907i −0.863823 0.503796i \(-0.831936\pi\)
−0.559689 + 0.828703i \(0.689079\pi\)
\(158\) −7.91783 + 4.63404i −0.629909 + 0.368664i
\(159\) 5.85961 + 7.34772i 0.464698 + 0.582712i
\(160\) 1.83835 2.10273i 0.145334 0.166236i
\(161\) 10.8049 + 9.31199i 0.851543 + 0.733887i
\(162\) 0.508872 1.31949i 0.0399808 0.103669i
\(163\) −11.0684 + 2.52629i −0.866944 + 0.197874i −0.632788 0.774325i \(-0.718090\pi\)
−0.234156 + 0.972199i \(0.575233\pi\)
\(164\) −9.66935 + 10.6716i −0.755049 + 0.833313i
\(165\) −1.90684 −0.148448
\(166\) −0.0465382 0.575311i −0.00361207 0.0446528i
\(167\) 1.67324 + 2.09818i 0.129479 + 0.162362i 0.842345 0.538939i \(-0.181174\pi\)
−0.712866 + 0.701301i \(0.752603\pi\)
\(168\) −1.81349 + 7.26025i −0.139913 + 0.560141i
\(169\) −7.12281 + 8.93172i −0.547908 + 0.687055i
\(170\) −3.55964 2.39620i −0.273012 0.183780i
\(171\) −3.95587 1.90504i −0.302513 0.145682i
\(172\) 1.01937 3.44912i 0.0777266 0.262993i
\(173\) −8.29000 6.61105i −0.630277 0.502629i 0.255458 0.966820i \(-0.417774\pi\)
−0.885735 + 0.464191i \(0.846345\pi\)
\(174\) 4.08055 + 2.74684i 0.309345 + 0.208238i
\(175\) −11.1212 5.88807i −0.840687 0.445096i
\(176\) −8.39772 + 12.9662i −0.633002 + 0.977361i
\(177\) −5.27129 −0.396215
\(178\) −17.2557 + 1.39585i −1.29337 + 0.104624i
\(179\) −7.53295 + 6.00733i −0.563039 + 0.449009i −0.863187 0.504884i \(-0.831535\pi\)
0.300148 + 0.953893i \(0.402964\pi\)
\(180\) −0.914891 + 0.371621i −0.0681919 + 0.0276990i
\(181\) 5.02799 10.4407i 0.373728 0.776053i −0.626266 0.779609i \(-0.715418\pi\)
0.999994 + 0.00355604i \(0.00113193\pi\)
\(182\) 10.9033 14.9351i 0.808204 1.10706i
\(183\) −5.92498 12.3034i −0.437987 0.909490i
\(184\) 12.0888 + 9.29432i 0.891199 + 0.685187i
\(185\) −2.04926 4.25533i −0.150664 0.312858i
\(186\) 9.82295 3.09375i 0.720254 0.226845i
\(187\) 21.3830 + 10.2975i 1.56368 + 0.753029i
\(188\) −0.00339533 + 0.0538517i −0.000247630 + 0.00392754i
\(189\) 1.72724 2.00415i 0.125639 0.145781i
\(190\) 0.920986 + 2.92422i 0.0668153 + 0.212145i
\(191\) −1.83457 0.418729i −0.132745 0.0302982i 0.155632 0.987815i \(-0.450259\pi\)
−0.288377 + 0.957517i \(0.593116\pi\)
\(192\) −1.50222 + 7.85769i −0.108413 + 0.567080i
\(193\) 3.76693 16.5040i 0.271149 1.18798i −0.637509 0.770443i \(-0.720035\pi\)
0.908658 0.417540i \(-0.137108\pi\)
\(194\) −12.0001 + 7.02326i −0.861558 + 0.504241i
\(195\) 2.44011 0.174740
\(196\) −7.76595 + 11.6486i −0.554711 + 0.832043i
\(197\) −0.643130 −0.0458211 −0.0229106 0.999738i \(-0.507293\pi\)
−0.0229106 + 0.999738i \(0.507293\pi\)
\(198\) 4.71375 2.75880i 0.334992 0.196059i
\(199\) −0.969032 + 4.24561i −0.0686928 + 0.300963i −0.997591 0.0693727i \(-0.977900\pi\)
0.928898 + 0.370336i \(0.120757\pi\)
\(200\) −12.2221 5.62082i −0.864232 0.397452i
\(201\) −9.60201 2.19160i −0.677273 0.154583i
\(202\) −4.83254 15.3438i −0.340016 1.07959i
\(203\) 5.45926 + 7.40827i 0.383165 + 0.519959i
\(204\) 12.2663 + 0.773385i 0.858811 + 0.0541478i
\(205\) −3.20305 1.54251i −0.223711 0.107733i
\(206\) −13.7500 + 4.33057i −0.958007 + 0.301725i
\(207\) −2.33917 4.85734i −0.162584 0.337608i
\(208\) 10.7462 16.5923i 0.745117 1.15047i
\(209\) −7.35732 15.2776i −0.508916 1.05678i
\(210\) −1.84574 + 0.0786606i −0.127368 + 0.00542810i
\(211\) 5.66608 11.7657i 0.390069 0.809986i −0.609779 0.792571i \(-0.708742\pi\)
0.999848 0.0174153i \(-0.00554373\pi\)
\(212\) 7.07358 + 17.4144i 0.485815 + 1.19603i
\(213\) 10.4933 8.36816i 0.718992 0.573377i
\(214\) 20.4869 1.65723i 1.40046 0.113286i
\(215\) 0.887898 0.0605542
\(216\) 1.72397 2.24231i 0.117301 0.152570i
\(217\) 19.2530 + 0.734374i 1.30698 + 0.0498526i
\(218\) 9.68281 + 6.51805i 0.655803 + 0.441458i
\(219\) −5.84639 4.66234i −0.395062 0.315052i
\(220\) −3.65730 1.08090i −0.246575 0.0728744i
\(221\) −27.3630 13.1773i −1.84063 0.886402i
\(222\) 11.2223 + 7.55439i 0.753195 + 0.507018i
\(223\) 6.88689 8.63589i 0.461180 0.578302i −0.495807 0.868433i \(-0.665128\pi\)
0.956987 + 0.290131i \(0.0936989\pi\)
\(224\) −7.59375 + 12.8971i −0.507379 + 0.861723i
\(225\) 2.96545 + 3.71856i 0.197697 + 0.247904i
\(226\) −0.104522 1.29212i −0.00695272 0.0859503i
\(227\) 19.1965 1.27411 0.637057 0.770816i \(-0.280151\pi\)
0.637057 + 0.770816i \(0.280151\pi\)
\(228\) −6.50742 5.89625i −0.430964 0.390489i
\(229\) 10.7701 2.45820i 0.711705 0.162442i 0.148684 0.988885i \(-0.452496\pi\)
0.563021 + 0.826443i \(0.309639\pi\)
\(230\) −1.35456 + 3.51233i −0.0893170 + 0.231596i
\(231\) 10.0412 1.89235i 0.660661 0.124508i
\(232\) 6.26938 + 7.58149i 0.411605 + 0.497749i
\(233\) 13.9460 + 17.4877i 0.913632 + 1.14566i 0.988913 + 0.148496i \(0.0474433\pi\)
−0.0752808 + 0.997162i \(0.523985\pi\)
\(234\) −6.03200 + 3.53033i −0.394324 + 0.230785i
\(235\) −0.0129869 + 0.00296417i −0.000847170 + 0.000193361i
\(236\) −10.1103 2.98805i −0.658123 0.194506i
\(237\) 6.32451 + 1.44353i 0.410821 + 0.0937672i
\(238\) 21.1226 + 9.08545i 1.36917 + 0.588922i
\(239\) 0.639879 0.146048i 0.0413903 0.00944707i −0.201776 0.979432i \(-0.564671\pi\)
0.243166 + 0.969985i \(0.421814\pi\)
\(240\) −1.96540 + 0.194155i −0.126866 + 0.0125327i
\(241\) 0.365903 + 0.291798i 0.0235699 + 0.0187964i 0.635204 0.772344i \(-0.280916\pi\)
−0.611634 + 0.791141i \(0.709487\pi\)
\(242\) 5.47987 + 0.792827i 0.352259 + 0.0509648i
\(243\) −0.900969 + 0.433884i −0.0577972 + 0.0278337i
\(244\) −4.38984 26.9563i −0.281031 1.72570i
\(245\) −3.30117 1.02352i −0.210904 0.0653903i
\(246\) 10.1497 0.821030i 0.647119 0.0523470i
\(247\) 9.41487 + 19.5502i 0.599054 + 1.24395i
\(248\) 20.5940 0.365587i 1.30772 0.0232148i
\(249\) −0.254468 + 0.319093i −0.0161263 + 0.0202217i
\(250\) 0.975454 6.74216i 0.0616932 0.426411i
\(251\) −5.09394 22.3180i −0.321527 1.40870i −0.834837 0.550497i \(-0.814438\pi\)
0.513310 0.858203i \(-0.328419\pi\)
\(252\) 4.44889 2.86485i 0.280254 0.180468i
\(253\) 4.63313 20.2990i 0.291282 1.27619i
\(254\) −23.7736 9.16850i −1.49169 0.575283i
\(255\) 0.675175 + 2.95813i 0.0422811 + 0.185245i
\(256\) −7.33541 + 14.2194i −0.458463 + 0.888714i
\(257\) 2.98641 2.38158i 0.186287 0.148559i −0.525906 0.850543i \(-0.676274\pi\)
0.712193 + 0.701984i \(0.247702\pi\)
\(258\) −2.19490 + 1.28460i −0.136648 + 0.0799757i
\(259\) 15.0141 + 20.3743i 0.932931 + 1.26600i
\(260\) 4.68011 + 1.38319i 0.290248 + 0.0857817i
\(261\) −0.773977 3.39101i −0.0479079 0.209898i
\(262\) −6.84318 + 6.42530i −0.422773 + 0.396957i
\(263\) 14.3522i 0.884996i −0.896770 0.442498i \(-0.854092\pi\)
0.896770 0.442498i \(-0.145908\pi\)
\(264\) 10.6047 2.61933i 0.652677 0.161209i
\(265\) −3.62789 + 2.89314i −0.222859 + 0.177724i
\(266\) −7.75179 14.4846i −0.475293 0.888106i
\(267\) 9.57078 + 7.63244i 0.585722 + 0.467098i
\(268\) −17.1742 9.64639i −1.04908 0.589247i
\(269\) 2.71412 5.63594i 0.165483 0.343629i −0.801693 0.597736i \(-0.796067\pi\)
0.967176 + 0.254107i \(0.0817814\pi\)
\(270\) 0.651488 + 0.251252i 0.0396483 + 0.0152907i
\(271\) −4.02349 + 5.04530i −0.244410 + 0.306480i −0.888872 0.458156i \(-0.848510\pi\)
0.644462 + 0.764636i \(0.277081\pi\)
\(272\) 23.0882 + 8.43653i 1.39993 + 0.511540i
\(273\) −12.8493 + 2.42157i −0.777675 + 0.146560i
\(274\) 1.79625 1.68656i 0.108515 0.101889i
\(275\) 18.3686i 1.10767i
\(276\) −1.73310 10.6423i −0.104320 0.640590i
\(277\) −4.02882 5.05198i −0.242068 0.303544i 0.645925 0.763401i \(-0.276472\pi\)
−0.887993 + 0.459857i \(0.847901\pi\)
\(278\) −11.1810 + 3.52148i −0.670594 + 0.211204i
\(279\) −6.56106 3.15964i −0.392800 0.189163i
\(280\) −3.58470 0.895396i −0.214227 0.0535101i
\(281\) 0.145915 0.0702690i 0.00870456 0.00419190i −0.429526 0.903054i \(-0.641319\pi\)
0.438231 + 0.898862i \(0.355605\pi\)
\(282\) 0.0278152 0.0261167i 0.00165637 0.00155523i
\(283\) 17.8314 8.58713i 1.05996 0.510452i 0.179105 0.983830i \(-0.442680\pi\)
0.880860 + 0.473378i \(0.156965\pi\)
\(284\) 24.8696 10.1018i 1.47574 0.599434i
\(285\) 0.940602 1.95318i 0.0557164 0.115696i
\(286\) −26.7141 3.86499i −1.57964 0.228542i
\(287\) 18.3976 + 4.94393i 1.08598 + 0.291831i
\(288\) 4.57761 3.32348i 0.269738 0.195838i
\(289\) 4.62063 20.2443i 0.271802 1.19084i
\(290\) −1.35623 + 2.01474i −0.0796409 + 0.118310i
\(291\) 9.58530 + 2.18778i 0.561901 + 0.128250i
\(292\) −8.57043 12.2564i −0.501547 0.717249i
\(293\) 1.62379i 0.0948628i 0.998874 + 0.0474314i \(0.0151036\pi\)
−0.998874 + 0.0474314i \(0.984896\pi\)
\(294\) 9.64136 2.24593i 0.562295 0.130985i
\(295\) 2.60266i 0.151533i
\(296\) 17.2421 + 20.8507i 1.00218 + 1.21192i
\(297\) −3.76519 0.859380i −0.218479 0.0498663i
\(298\) 27.5631 + 18.5542i 1.59668 + 1.07482i
\(299\) −5.92883 + 25.9759i −0.342873 + 1.50222i
\(300\) 3.57982 + 8.81313i 0.206681 + 0.508826i
\(301\) −4.67555 + 0.881151i −0.269494 + 0.0507887i
\(302\) −3.66613 + 25.3396i −0.210962 + 1.45813i
\(303\) −4.93547 + 10.2486i −0.283535 + 0.588767i
\(304\) −9.13883 14.9977i −0.524148 0.860177i
\(305\) 6.07469 2.92542i 0.347836 0.167509i
\(306\) −5.94883 6.33572i −0.340072 0.362189i
\(307\) −0.327334 + 0.157636i −0.0186819 + 0.00899673i −0.443201 0.896422i \(-0.646157\pi\)
0.424519 + 0.905419i \(0.360443\pi\)
\(308\) 20.3316 + 2.06237i 1.15850 + 0.117515i
\(309\) 9.18405 + 4.42281i 0.522463 + 0.251605i
\(310\) 1.52752 + 4.85001i 0.0867570 + 0.275462i
\(311\) −6.72469 8.43250i −0.381322 0.478163i 0.553718 0.832704i \(-0.313209\pi\)
−0.935040 + 0.354541i \(0.884637\pi\)
\(312\) −13.5705 + 3.35186i −0.768277 + 0.189762i
\(313\) 11.6413i 0.658003i 0.944329 + 0.329001i \(0.106712\pi\)
−0.944329 + 0.329001i \(0.893288\pi\)
\(314\) 17.7103 + 18.8621i 0.999449 + 1.06445i
\(315\) 0.989536 + 0.852814i 0.0557540 + 0.0480506i
\(316\) 11.3121 + 6.35374i 0.636353 + 0.357426i
\(317\) −4.39503 + 5.51119i −0.246849 + 0.309539i −0.889784 0.456382i \(-0.849145\pi\)
0.642935 + 0.765921i \(0.277717\pi\)
\(318\) 4.78243 12.4007i 0.268185 0.695395i
\(319\) 5.82834 12.1027i 0.326324 0.677619i
\(320\) −3.87968 0.741711i −0.216881 0.0414629i
\(321\) −11.3629 9.06164i −0.634217 0.505771i
\(322\) 3.64729 19.8397i 0.203255 1.10562i
\(323\) −21.0955 + 16.8231i −1.17378 + 0.936061i
\(324\) −1.97400 + 0.321466i −0.109666 + 0.0178592i
\(325\) 23.5056i 1.30386i
\(326\) 10.9900 + 11.7048i 0.608682 + 0.648268i
\(327\) −1.83659 8.04661i −0.101563 0.444978i
\(328\) 19.9323 + 4.17866i 1.10058 + 0.230728i
\(329\) 0.0654454 0.0284971i 0.00360812 0.00157109i
\(330\) 1.36214 + 2.32738i 0.0749832 + 0.128118i
\(331\) 8.71846 6.95274i 0.479210 0.382157i −0.353883 0.935290i \(-0.615139\pi\)
0.833093 + 0.553132i \(0.186568\pi\)
\(332\) −0.668945 + 0.467770i −0.0367131 + 0.0256722i
\(333\) −2.12860 9.32599i −0.116646 0.511061i
\(334\) 1.36565 3.54108i 0.0747249 0.193759i
\(335\) 1.08208 4.74092i 0.0591206 0.259024i
\(336\) 10.1569 2.97286i 0.554103 0.162183i
\(337\) −0.0356281 0.156097i −0.00194078 0.00850313i 0.973948 0.226770i \(-0.0728167\pi\)
−0.975889 + 0.218267i \(0.929960\pi\)
\(338\) 15.9896 + 2.31338i 0.869721 + 0.125831i
\(339\) −0.571521 + 0.716665i −0.0310408 + 0.0389239i
\(340\) −0.381853 + 6.05639i −0.0207089 + 0.328454i
\(341\) −12.2026 25.3389i −0.660808 1.37218i
\(342\) 0.500654 + 6.18914i 0.0270723 + 0.334670i
\(343\) 18.3993 + 2.11364i 0.993466 + 0.114126i
\(344\) −4.93797 + 1.21966i −0.266237 + 0.0657597i
\(345\) 2.39828 1.15495i 0.129119 0.0621804i
\(346\) −2.14717 + 14.8408i −0.115432 + 0.797847i
\(347\) −21.9332 17.4911i −1.17743 0.938972i −0.178446 0.983950i \(-0.557107\pi\)
−0.998988 + 0.0449775i \(0.985678\pi\)
\(348\) 0.437732 6.94265i 0.0234649 0.372165i
\(349\) 9.81076 2.23924i 0.525158 0.119864i 0.0482807 0.998834i \(-0.484626\pi\)
0.476877 + 0.878970i \(0.341769\pi\)
\(350\) 0.757737 + 17.7800i 0.0405027 + 0.950381i
\(351\) 4.81817 + 1.09971i 0.257175 + 0.0586984i
\(352\) 21.8246 + 0.987494i 1.16325 + 0.0526336i
\(353\) −14.0677 + 3.21087i −0.748750 + 0.170897i −0.579835 0.814734i \(-0.696883\pi\)
−0.168914 + 0.985631i \(0.554026\pi\)
\(354\) 3.76550 + 6.43382i 0.200134 + 0.341954i
\(355\) 4.13172 + 5.18101i 0.219289 + 0.274980i
\(356\) 14.0302 + 20.0642i 0.743597 + 1.06340i
\(357\) −6.49103 14.9071i −0.343542 0.788966i
\(358\) 12.7133 + 4.90299i 0.671918 + 0.259131i
\(359\) −9.30350 + 2.12346i −0.491020 + 0.112072i −0.460860 0.887473i \(-0.652459\pi\)
−0.0301602 + 0.999545i \(0.509602\pi\)
\(360\) 1.10712 + 0.851197i 0.0583505 + 0.0448620i
\(361\) 0.278065 0.0146350
\(362\) −16.3350 + 1.32138i −0.858550 + 0.0694501i
\(363\) −2.44108 3.06102i −0.128124 0.160662i
\(364\) −26.0175 2.63914i −1.36369 0.138328i
\(365\) 2.30200 2.88661i 0.120492 0.151092i
\(366\) −10.7843 + 16.0205i −0.563703 + 0.837403i
\(367\) −18.1918 8.76070i −0.949603 0.457305i −0.106056 0.994360i \(-0.533822\pi\)
−0.843547 + 0.537055i \(0.819537\pi\)
\(368\) 2.70856 21.3942i 0.141193 1.11525i
\(369\) −5.62945 4.48934i −0.293058 0.233706i
\(370\) −3.72993 + 5.54095i −0.193910 + 0.288060i
\(371\) 16.2328 18.8352i 0.842765 0.977875i
\(372\) −10.7930 9.77932i −0.559590 0.507034i
\(373\) −16.0971 −0.833475 −0.416738 0.909027i \(-0.636827\pi\)
−0.416738 + 0.909027i \(0.636827\pi\)
\(374\) −2.70623 33.4547i −0.139936 1.72990i
\(375\) −3.76613 + 3.00339i −0.194482 + 0.155094i
\(376\) 0.0681536 0.0343243i 0.00351475 0.00177014i
\(377\) −7.45830 + 15.4873i −0.384122 + 0.797637i
\(378\) −3.67999 0.676521i −0.189278 0.0347965i
\(379\) −6.53439 13.5688i −0.335649 0.696983i 0.663018 0.748604i \(-0.269275\pi\)
−0.998667 + 0.0516212i \(0.983561\pi\)
\(380\) 2.91123 3.21299i 0.149343 0.164823i
\(381\) 7.81741 + 16.2330i 0.400498 + 0.831643i
\(382\) 0.799434 + 2.53828i 0.0409026 + 0.129870i
\(383\) 25.3846 + 12.2246i 1.29709 + 0.624646i 0.949725 0.313084i \(-0.101362\pi\)
0.347365 + 0.937730i \(0.387077\pi\)
\(384\) 10.6637 3.77955i 0.544181 0.192874i
\(385\) 0.934336 + 4.95776i 0.0476182 + 0.252671i
\(386\) −22.8346 + 7.19179i −1.16225 + 0.366052i
\(387\) 1.75321 + 0.400160i 0.0891209 + 0.0203413i
\(388\) 17.1443 + 9.62961i 0.870372 + 0.488869i
\(389\) −7.46419 + 32.7027i −0.378449 + 1.65809i 0.323771 + 0.946135i \(0.395049\pi\)
−0.702221 + 0.711959i \(0.747808\pi\)
\(390\) −1.74307 2.97826i −0.0882639 0.150810i
\(391\) −33.1309 −1.67550
\(392\) 19.7651 + 1.15757i 0.998289 + 0.0584663i
\(393\) 6.63753 0.334819
\(394\) 0.459414 + 0.784966i 0.0231449 + 0.0395460i
\(395\) −0.712732 + 3.12268i −0.0358614 + 0.157119i
\(396\) −6.73445 3.78259i −0.338419 0.190083i
\(397\) 8.26006 + 1.88531i 0.414561 + 0.0946207i 0.424714 0.905328i \(-0.360375\pi\)
−0.0101531 + 0.999948i \(0.503232\pi\)
\(398\) 5.87415 1.85007i 0.294445 0.0927355i
\(399\) −3.01474 + 11.2186i −0.150926 + 0.561634i
\(400\) 1.87029 + 18.9327i 0.0935146 + 0.946636i
\(401\) 7.78618 + 3.74963i 0.388823 + 0.187247i 0.618074 0.786120i \(-0.287913\pi\)
−0.229251 + 0.973367i \(0.573628\pi\)
\(402\) 4.18418 + 13.2852i 0.208688 + 0.662604i
\(403\) 15.6152 + 32.4253i 0.777847 + 1.61522i
\(404\) −15.2756 + 16.8590i −0.759991 + 0.838767i
\(405\) −0.214227 0.444847i −0.0106450 0.0221046i
\(406\) 5.14232 11.9553i 0.255209 0.593331i
\(407\) 16.0291 33.2849i 0.794535 1.64987i
\(408\) −7.81836 15.5239i −0.387066 0.768550i
\(409\) −30.6978 + 24.4807i −1.51791 + 1.21049i −0.609233 + 0.792991i \(0.708523\pi\)
−0.908676 + 0.417501i \(0.862906\pi\)
\(410\) 0.405378 + 5.01133i 0.0200202 + 0.247492i
\(411\) −1.74227 −0.0859398
\(412\) 15.1078 + 13.6889i 0.744309 + 0.674404i
\(413\) 2.58288 + 13.7053i 0.127095 + 0.674392i
\(414\) −4.25761 + 6.32485i −0.209250 + 0.310849i
\(415\) −0.157550 0.125642i −0.00773381 0.00616751i
\(416\) −27.9280 1.26366i −1.36928 0.0619559i
\(417\) 7.46817 + 3.59648i 0.365718 + 0.176120i
\(418\) −13.3913 + 19.8933i −0.654991 + 0.973015i
\(419\) −13.6727 + 17.1450i −0.667953 + 0.837586i −0.994183 0.107704i \(-0.965650\pi\)
0.326230 + 0.945290i \(0.394222\pi\)
\(420\) 1.41450 + 2.19661i 0.0690204 + 0.107184i
\(421\) −2.40990 3.02192i −0.117451 0.147279i 0.719630 0.694358i \(-0.244311\pi\)
−0.837081 + 0.547078i \(0.815740\pi\)
\(422\) −18.4081 + 1.48907i −0.896090 + 0.0724868i
\(423\) −0.0269793 −0.00131178
\(424\) 16.2020 21.0734i 0.786839 1.02341i
\(425\) 28.4957 6.50395i 1.38224 0.315488i
\(426\) −17.7095 6.82982i −0.858028 0.330906i
\(427\) −29.0853 + 21.4334i −1.40754 + 1.03723i
\(428\) −16.6573 23.8212i −0.805163 1.15144i
\(429\) 11.9002 + 14.9223i 0.574546 + 0.720457i
\(430\) −0.634262 1.08372i −0.0305868 0.0522614i
\(431\) −11.6398 + 2.65672i −0.560671 + 0.127970i −0.493459 0.869769i \(-0.664268\pi\)
−0.0672123 + 0.997739i \(0.521410\pi\)
\(432\) −3.96832 0.502400i −0.190926 0.0241717i
\(433\) 20.6373 + 4.71032i 0.991763 + 0.226363i 0.687468 0.726214i \(-0.258722\pi\)
0.304295 + 0.952578i \(0.401579\pi\)
\(434\) −12.8568 24.0236i −0.617148 1.15317i
\(435\) 1.67429 0.382145i 0.0802760 0.0183225i
\(436\) 1.03870 16.4744i 0.0497449 0.788979i
\(437\) 18.5069 + 14.7588i 0.885305 + 0.706007i
\(438\) −1.51426 + 10.4662i −0.0723539 + 0.500097i
\(439\) 20.8593 10.0453i 0.995558 0.479435i 0.136129 0.990691i \(-0.456534\pi\)
0.859429 + 0.511256i \(0.170820\pi\)
\(440\) 1.29328 + 5.23602i 0.0616546 + 0.249617i
\(441\) −6.05710 3.50879i −0.288433 0.167085i
\(442\) 3.46306 + 42.8107i 0.164721 + 2.03630i
\(443\) 0.748195 + 1.55364i 0.0355478 + 0.0738158i 0.917986 0.396612i \(-0.129814\pi\)
−0.882439 + 0.470427i \(0.844100\pi\)
\(444\) 1.20385 19.0937i 0.0571324 0.906148i
\(445\) −3.76846 + 4.72550i −0.178642 + 0.224010i
\(446\) −15.4600 2.23676i −0.732054 0.105913i
\(447\) −5.22801 22.9054i −0.247277 1.08339i
\(448\) 21.1659 + 0.0555501i 0.999997 + 0.00262449i
\(449\) −0.440409 + 1.92956i −0.0207842 + 0.0910614i −0.984256 0.176747i \(-0.943442\pi\)
0.963472 + 0.267809i \(0.0862996\pi\)
\(450\) 2.42031 6.27577i 0.114094 0.295843i
\(451\) −6.18783 27.1107i −0.291374 1.27659i
\(452\) −1.50241 + 1.05058i −0.0706676 + 0.0494154i
\(453\) 14.1545 11.2879i 0.665039 0.530351i
\(454\) −13.7128 23.4301i −0.643575 1.09963i
\(455\) −1.19563 6.34425i −0.0560522 0.297423i
\(456\) −2.54809 + 12.1545i −0.119325 + 0.569186i
\(457\) −7.95594 34.8573i −0.372163 1.63055i −0.720691 0.693256i \(-0.756176\pi\)
0.348528 0.937298i \(-0.386682\pi\)
\(458\) −10.6938 11.3893i −0.499689 0.532187i
\(459\) 6.14532i 0.286839i
\(460\) 5.25455 0.855705i 0.244995 0.0398975i
\(461\) 9.46235 7.54597i 0.440706 0.351451i −0.377861 0.925862i \(-0.623340\pi\)
0.818567 + 0.574411i \(0.194769\pi\)
\(462\) −9.48252 10.9039i −0.441167 0.507294i
\(463\) 13.1219 + 10.4644i 0.609829 + 0.486322i 0.879033 0.476761i \(-0.158189\pi\)
−0.269204 + 0.963083i \(0.586761\pi\)
\(464\) 4.77504 13.0678i 0.221675 0.606657i
\(465\) 1.56005 3.23948i 0.0723456 0.150227i
\(466\) 11.3823 29.5138i 0.527273 1.36720i
\(467\) −9.98712 + 12.5235i −0.462149 + 0.579516i −0.957229 0.289331i \(-0.906567\pi\)
0.495080 + 0.868847i \(0.335139\pi\)
\(468\) 8.61780 + 4.84044i 0.398358 + 0.223749i
\(469\) −0.993214 + 26.0389i −0.0458624 + 1.20237i
\(470\) 0.0128949 + 0.0137336i 0.000594799 + 0.000633482i
\(471\) 18.2953i 0.843001i
\(472\) 3.57514 + 14.4745i 0.164559 + 0.666242i
\(473\) 4.33018 + 5.42988i 0.199102 + 0.249666i
\(474\) −2.75597 8.75049i −0.126586 0.401923i
\(475\) −18.8150 9.06081i −0.863289 0.415738i
\(476\) −3.99958 32.2711i −0.183320 1.47914i
\(477\) −8.46739 + 4.07768i −0.387695 + 0.186704i
\(478\) −0.635349 0.676669i −0.0290602 0.0309501i
\(479\) 27.5231 13.2544i 1.25756 0.605610i 0.318034 0.948079i \(-0.396978\pi\)
0.939529 + 0.342469i \(0.111263\pi\)
\(480\) 1.64094 + 2.26016i 0.0748984 + 0.103162i
\(481\) −20.5119 + 42.5933i −0.935260 + 1.94209i
\(482\) 0.0947715 0.655042i 0.00431672 0.0298364i
\(483\) −11.4828 + 8.46186i −0.522487 + 0.385028i
\(484\) −2.94682 7.25474i −0.133946 0.329761i
\(485\) −1.08020 + 4.73268i −0.0490495 + 0.214900i
\(486\) 1.17317 + 0.789727i 0.0532161 + 0.0358228i
\(487\) 15.3233 + 3.49745i 0.694366 + 0.158485i 0.555116 0.831773i \(-0.312674\pi\)
0.139250 + 0.990257i \(0.455531\pi\)
\(488\) −29.7654 + 24.6140i −1.34742 + 1.11422i
\(489\) 11.3530i 0.513402i
\(490\) 1.10891 + 4.76035i 0.0500956 + 0.215051i
\(491\) 1.67207i 0.0754596i 0.999288 + 0.0377298i \(0.0120126\pi\)
−0.999288 + 0.0377298i \(0.987987\pi\)
\(492\) −8.25242 11.8016i −0.372048 0.532056i
\(493\) −20.8389 4.75633i −0.938535 0.214214i
\(494\) 17.1363 25.4567i 0.771001 1.14535i
\(495\) 0.424313 1.85904i 0.0190714 0.0835574i
\(496\) −15.1574 24.8746i −0.680585 1.11690i
\(497\) −26.8987 23.1822i −1.20657 1.03986i
\(498\) 0.571242 + 0.0826473i 0.0255980 + 0.00370351i
\(499\) −5.16835 + 10.7322i −0.231367 + 0.480439i −0.984038 0.177958i \(-0.943051\pi\)
0.752671 + 0.658397i \(0.228765\pi\)
\(500\) −8.92588 + 3.62562i −0.399177 + 0.162143i
\(501\) −2.41791 + 1.16440i −0.108024 + 0.0520217i
\(502\) −23.6012 + 22.1600i −1.05337 + 0.989050i
\(503\) −27.0933 + 13.0474i −1.20803 + 0.581756i −0.925954 0.377636i \(-0.876737\pi\)
−0.282075 + 0.959392i \(0.591023\pi\)
\(504\) −6.67468 3.38358i −0.297314 0.150716i
\(505\) −5.06017 2.43685i −0.225175 0.108438i
\(506\) −28.0854 + 8.84553i −1.24855 + 0.393232i
\(507\) −7.12281 8.93172i −0.316335 0.396672i
\(508\) 5.79195 + 35.5661i 0.256976 + 1.57799i
\(509\) 39.7959i 1.76392i 0.471324 + 0.881960i \(0.343776\pi\)
−0.471324 + 0.881960i \(0.656224\pi\)
\(510\) 3.12821 2.93719i 0.138520 0.130061i
\(511\) −9.25732 + 17.4850i −0.409520 + 0.773491i
\(512\) 22.5953 1.20436i 0.998583 0.0532255i
\(513\) 2.73754 3.43277i 0.120866 0.151561i
\(514\) −5.04013 1.94377i −0.222311 0.0857361i
\(515\) −2.18373 + 4.53456i −0.0962266 + 0.199817i
\(516\) 3.13581 + 1.76132i 0.138046 + 0.0775377i
\(517\) −0.0814627 0.0649643i −0.00358272 0.00285713i
\(518\) 14.1424 32.8795i 0.621383 1.44464i
\(519\) 8.29000 6.61105i 0.363891 0.290193i
\(520\) −1.65496 6.70032i −0.0725746 0.293829i
\(521\) 13.7526i 0.602513i 0.953543 + 0.301256i \(0.0974060\pi\)
−0.953543 + 0.301256i \(0.902594\pi\)
\(522\) −3.58598 + 3.36701i −0.156954 + 0.147370i
\(523\) 2.65528 + 11.6335i 0.116107 + 0.508699i 0.999218 + 0.0395348i \(0.0125876\pi\)
−0.883111 + 0.469164i \(0.844555\pi\)
\(524\) 12.7307 + 3.76251i 0.556143 + 0.164366i
\(525\) 8.21515 9.53219i 0.358538 0.416019i
\(526\) −17.5174 + 10.2524i −0.763797 + 0.447025i
\(527\) −34.9882 + 27.9022i −1.52411 + 1.21544i
\(528\) −10.7724 11.0724i −0.468809 0.481865i
\(529\) 1.34969 + 5.91340i 0.0586824 + 0.257104i
\(530\) 6.12274 + 2.36129i 0.265955 + 0.102568i
\(531\) 1.17297 5.13913i 0.0509027 0.223019i
\(532\) −12.1416 + 19.8083i −0.526404 + 0.858798i
\(533\) 7.91832 + 34.6924i 0.342981 + 1.50270i
\(534\) 2.47890 17.1337i 0.107272 0.741447i
\(535\) 4.47412 5.61037i 0.193433 0.242557i
\(536\) 0.494443 + 27.8526i 0.0213567 + 1.20305i
\(537\) −4.18047 8.68084i −0.180401 0.374606i
\(538\) −8.81770 + 0.713284i −0.380158 + 0.0307519i
\(539\) −9.84018 25.1797i −0.423846 1.08456i
\(540\) −0.158721 0.974646i −0.00683028 0.0419421i
\(541\) 29.0308 13.9805i 1.24813 0.601068i 0.311120 0.950371i \(-0.399296\pi\)
0.937010 + 0.349303i \(0.113582\pi\)
\(542\) 9.03213 + 1.30677i 0.387963 + 0.0561305i
\(543\) 9.06013 + 7.22521i 0.388807 + 0.310063i
\(544\) −6.19570 34.2066i −0.265639 1.46660i
\(545\) 3.97295 0.906801i 0.170183 0.0388431i
\(546\) 12.1344 + 13.9533i 0.519305 + 0.597144i
\(547\) 23.8614 + 5.44621i 1.02024 + 0.232863i 0.699749 0.714388i \(-0.253295\pi\)
0.320491 + 0.947252i \(0.396152\pi\)
\(548\) −3.34165 0.987612i −0.142748 0.0421887i
\(549\) 13.3133 3.03868i 0.568199 0.129688i
\(550\) 22.4196 13.1214i 0.955976 0.559500i
\(551\) 9.52178 + 11.9399i 0.405641 + 0.508658i
\(552\) −11.7513 + 9.71754i −0.500169 + 0.413606i
\(553\) 0.654196 17.1509i 0.0278192 0.729332i
\(554\) −3.28819 + 8.52617i −0.139702 + 0.362242i
\(555\) 4.60464 1.05098i 0.195456 0.0446116i
\(556\) 12.2852 + 11.1314i 0.521008 + 0.472075i
\(557\) 28.6114 1.21231 0.606153 0.795348i \(-0.292712\pi\)
0.606153 + 0.795348i \(0.292712\pi\)
\(558\) 0.830367 + 10.2651i 0.0351523 + 0.434556i
\(559\) −5.54117 6.94840i −0.234366 0.293886i
\(560\) 1.46783 + 5.01488i 0.0620271 + 0.211917i
\(561\) −14.7975 + 18.5555i −0.624751 + 0.783413i
\(562\) −0.189999 0.127899i −0.00801463 0.00539510i
\(563\) 23.5816 + 11.3563i 0.993848 + 0.478612i 0.858846 0.512233i \(-0.171182\pi\)
0.135002 + 0.990845i \(0.456896\pi\)
\(564\) −0.0517460 0.0152933i −0.00217890 0.000643966i
\(565\) −0.353848 0.282184i −0.0148865 0.0118716i
\(566\) −23.2186 15.6298i −0.975951 0.656967i
\(567\) 1.56956 + 2.12990i 0.0659152 + 0.0894476i
\(568\) −30.0951 23.1382i −1.26276 0.970858i
\(569\) −3.37463 −0.141472 −0.0707359 0.997495i \(-0.522535\pi\)
−0.0707359 + 0.997495i \(0.522535\pi\)
\(570\) −3.05584 + 0.247194i −0.127995 + 0.0103538i
\(571\) −32.3096 + 25.7660i −1.35211 + 1.07827i −0.362895 + 0.931830i \(0.618212\pi\)
−0.989219 + 0.146444i \(0.953217\pi\)
\(572\) 14.3656 + 35.3665i 0.600655 + 1.47875i
\(573\) 0.816461 1.69540i 0.0341081 0.0708263i
\(574\) −7.10791 25.9867i −0.296678 1.08466i
\(575\) −11.1256 23.1026i −0.463970 0.963444i
\(576\) −7.32641 3.21306i −0.305267 0.133877i
\(577\) −12.6198 26.2052i −0.525368 1.09094i −0.979767 0.200140i \(-0.935860\pi\)
0.454399 0.890798i \(-0.349854\pi\)
\(578\) −28.0097 + 8.82168i −1.16505 + 0.366933i
\(579\) 15.2520 + 7.34497i 0.633851 + 0.305246i
\(580\) 3.42788 + 0.216127i 0.142335 + 0.00897419i
\(581\) 0.954322 + 0.505260i 0.0395920 + 0.0209617i
\(582\) −4.17690 13.2621i −0.173138 0.549730i
\(583\) −35.3856 8.07653i −1.46552 0.334496i
\(584\) −8.83716 + 19.2158i −0.365684 + 0.795154i
\(585\) −0.542976 + 2.37893i −0.0224493 + 0.0983568i
\(586\) 1.98190 1.15994i 0.0818715 0.0479167i
\(587\) 22.8896 0.944753 0.472376 0.881397i \(-0.343396\pi\)
0.472376 + 0.881397i \(0.343396\pi\)
\(588\) −9.62846 10.1633i −0.397071 0.419127i
\(589\) 31.9739 1.31746
\(590\) −3.17665 + 1.85919i −0.130781 + 0.0765416i
\(591\) 0.143110 0.627005i 0.00588675 0.0257916i
\(592\) 13.1323 35.9391i 0.539736 1.47709i
\(593\) −27.6197 6.30403i −1.13421 0.258875i −0.386102 0.922456i \(-0.626179\pi\)
−0.748105 + 0.663581i \(0.769036\pi\)
\(594\) 1.64072 + 5.20946i 0.0673196 + 0.213747i
\(595\) 7.36026 3.20490i 0.301741 0.131388i
\(596\) 2.95677 46.8958i 0.121114 1.92093i
\(597\) −3.92353 1.88947i −0.160579 0.0773310i
\(598\) 35.9398 11.3193i 1.46969 0.462879i
\(599\) −14.1274 29.3358i −0.577228 1.19863i −0.961346 0.275343i \(-0.911209\pi\)
0.384118 0.923284i \(-0.374506\pi\)
\(600\) 8.19957 10.6649i 0.334746 0.435393i
\(601\) 10.9973 + 22.8361i 0.448589 + 0.931506i 0.995540 + 0.0943406i \(0.0300743\pi\)
−0.546951 + 0.837165i \(0.684211\pi\)
\(602\) 4.41542 + 5.07726i 0.179959 + 0.206933i
\(603\) 4.27330 8.87359i 0.174022 0.361360i
\(604\) 33.5468 13.6264i 1.36500 0.554452i
\(605\) 1.51136 1.20527i 0.0614455 0.0490011i
\(606\) 16.0344 1.29706i 0.651354 0.0526895i
\(607\) −38.0773 −1.54551 −0.772754 0.634705i \(-0.781121\pi\)
−0.772754 + 0.634705i \(0.781121\pi\)
\(608\) −11.7770 + 21.8678i −0.477622 + 0.886855i
\(609\) −8.43733 + 3.67389i −0.341898 + 0.148874i
\(610\) −7.90999 5.32466i −0.320266 0.215589i
\(611\) 0.104245 + 0.0831323i 0.00421728 + 0.00336317i
\(612\) −3.48350 + 11.7866i −0.140812 + 0.476447i
\(613\) 19.9413 + 9.60322i 0.805421 + 0.387870i 0.790840 0.612023i \(-0.209644\pi\)
0.0145812 + 0.999894i \(0.495358\pi\)
\(614\) 0.426228 + 0.286918i 0.0172012 + 0.0115791i
\(615\) 2.21658 2.77950i 0.0893811 0.112080i
\(616\) −12.0065 26.2887i −0.483754 1.05920i
\(617\) 8.14029 + 10.2076i 0.327716 + 0.410943i 0.918207 0.396102i \(-0.129637\pi\)
−0.590491 + 0.807044i \(0.701066\pi\)
\(618\) −1.16233 14.3689i −0.0467559 0.578002i
\(619\) −7.88786 −0.317040 −0.158520 0.987356i \(-0.550672\pi\)
−0.158520 + 0.987356i \(0.550672\pi\)
\(620\) 4.82847 5.32896i 0.193916 0.214016i
\(621\) 5.25607 1.19966i 0.210919 0.0481409i
\(622\) −5.48848 + 14.2314i −0.220068 + 0.570629i
\(623\) 15.1546 28.6237i 0.607157 1.14678i
\(624\) 13.7850 + 14.1689i 0.551843 + 0.567211i
\(625\) 13.3444 + 16.7333i 0.533775 + 0.669332i
\(626\) 14.2086 8.31583i 0.567890 0.332367i
\(627\) 16.5317 3.77326i 0.660214 0.150690i
\(628\) 10.3707 35.0901i 0.413838 1.40025i
\(629\) −57.3112 13.0809i −2.28515 0.521570i
\(630\) 0.334028 1.81697i 0.0133080 0.0723897i
\(631\) −19.0630 + 4.35100i −0.758886 + 0.173211i −0.584419 0.811452i \(-0.698677\pi\)
−0.174467 + 0.984663i \(0.555820\pi\)
\(632\) −0.325672 18.3456i −0.0129545 0.729747i
\(633\) 10.2099 + 8.14214i 0.405808 + 0.323621i
\(634\) 9.86617 + 1.42744i 0.391836 + 0.0566907i
\(635\) −8.01494 + 3.85979i −0.318063 + 0.153171i
\(636\) −18.5518 + 3.02116i −0.735626 + 0.119797i
\(637\) 12.5921 + 32.2214i 0.498917 + 1.27666i
\(638\) −18.9352 + 1.53171i −0.749652 + 0.0606411i
\(639\) 5.82336 + 12.0923i 0.230369 + 0.478366i
\(640\) 1.86613 + 5.26514i 0.0737651 + 0.208123i
\(641\) 18.1671 22.7808i 0.717556 0.899787i −0.280640 0.959813i \(-0.590547\pi\)
0.998197 + 0.0600257i \(0.0191183\pi\)
\(642\) −2.94308 + 20.3420i −0.116154 + 0.802835i
\(643\) −4.01762 17.6023i −0.158440 0.694169i −0.990272 0.139143i \(-0.955565\pi\)
0.831833 0.555026i \(-0.187292\pi\)
\(644\) −26.8206 + 9.72065i −1.05688 + 0.383047i
\(645\) −0.197576 + 0.865637i −0.00777955 + 0.0340844i
\(646\) 35.6026 + 13.7305i 1.40077 + 0.540217i
\(647\) −5.36392 23.5008i −0.210877 0.923914i −0.963972 0.266002i \(-0.914297\pi\)
0.753095 0.657912i \(-0.228560\pi\)
\(648\) 1.80247 + 2.17970i 0.0708076 + 0.0856269i
\(649\) 15.9164 12.6929i 0.624773 0.498240i
\(650\) −28.6895 + 16.7910i −1.12529 + 0.658597i
\(651\) −5.00015 + 18.6068i −0.195971 + 0.729260i
\(652\) 6.43552 21.7750i 0.252034 0.852775i
\(653\) −7.29610 31.9663i −0.285519 1.25094i −0.890605 0.454779i \(-0.849718\pi\)
0.605086 0.796160i \(-0.293139\pi\)
\(654\) −8.50925 + 7.98964i −0.332738 + 0.312420i
\(655\) 3.27723i 0.128052i
\(656\) −9.13827 27.3132i −0.356790 1.06640i
\(657\) 5.84639 4.66234i 0.228089 0.181895i
\(658\) −0.0815322 0.0595221i −0.00317845 0.00232041i
\(659\) 17.1794 + 13.7001i 0.669213 + 0.533680i 0.898110 0.439771i \(-0.144940\pi\)
−0.228897 + 0.973451i \(0.573512\pi\)
\(660\) 1.86763 3.32508i 0.0726973 0.129429i
\(661\) 10.7322 22.2857i 0.417436 0.866815i −0.581157 0.813791i \(-0.697400\pi\)
0.998593 0.0530236i \(-0.0168859\pi\)
\(662\) −14.7141 5.67460i −0.571878 0.220550i
\(663\) 18.9358 23.7447i 0.735404 0.922168i
\(664\) 1.04879 + 0.482327i 0.0407008 + 0.0187179i
\(665\) −5.53912 1.48851i −0.214798 0.0577219i
\(666\) −9.86220 + 9.25997i −0.382152 + 0.358817i
\(667\) 18.7519i 0.726077i
\(668\) −5.29756 + 0.862709i −0.204969 + 0.0333792i
\(669\) 6.88689 + 8.63589i 0.266263 + 0.333883i
\(670\) −6.55946 + 2.06591i −0.253414 + 0.0798130i
\(671\) 47.5158 + 22.8824i 1.83433 + 0.883366i
\(672\) −10.8840 10.2732i −0.419858 0.396298i
\(673\) −13.7149 + 6.60476i −0.528672 + 0.254595i −0.679126 0.734022i \(-0.737641\pi\)
0.150454 + 0.988617i \(0.451927\pi\)
\(674\) −0.165072 + 0.154992i −0.00635833 + 0.00597006i
\(675\) −4.28520 + 2.06365i −0.164938 + 0.0794298i
\(676\) −8.59848 21.1685i −0.330711 0.814174i
\(677\) −0.516540 + 1.07261i −0.0198523 + 0.0412236i −0.910659 0.413158i \(-0.864426\pi\)
0.890807 + 0.454382i \(0.150140\pi\)
\(678\) 1.28298 + 0.185621i 0.0492725 + 0.00712874i
\(679\) 0.991486 25.9936i 0.0380498 0.997544i
\(680\) 7.66483 3.86026i 0.293933 0.148034i
\(681\) −4.27162 + 18.7152i −0.163689 + 0.717167i
\(682\) −22.2104 + 32.9944i −0.850479 + 1.26342i
\(683\) −5.03682 1.14962i −0.192729 0.0439890i 0.125067 0.992148i \(-0.460085\pi\)
−0.317796 + 0.948159i \(0.602943\pi\)
\(684\) 7.19646 5.03222i 0.275163 0.192412i
\(685\) 0.860233i 0.0328678i
\(686\) −10.5636 23.9669i −0.403319 0.915060i
\(687\) 11.0470i 0.421470i
\(688\) 5.01604 + 5.15573i 0.191235 + 0.196561i
\(689\) 45.2816 + 10.3352i 1.72509 + 0.393741i
\(690\) −3.12285 2.10216i −0.118885 0.0800280i
\(691\) 3.98743 17.4701i 0.151689 0.664592i −0.840705 0.541493i \(-0.817859\pi\)
0.992394 0.123100i \(-0.0392835\pi\)
\(692\) 19.6476 7.98070i 0.746890 0.303381i
\(693\) −0.389464 + 10.2105i −0.0147945 + 0.387866i
\(694\) −5.68084 + 39.2649i −0.215642 + 1.49048i
\(695\) −1.77574 + 3.68736i −0.0673575 + 0.139869i
\(696\) −8.78647 + 4.42515i −0.333050 + 0.167735i
\(697\) −39.8664 + 19.1987i −1.51005 + 0.727201i
\(698\) −9.74131 10.3748i −0.368714 0.392693i
\(699\) −20.1525 + 9.70495i −0.762239 + 0.367075i
\(700\) 21.1599 13.6258i 0.799770 0.515008i
\(701\) −25.3501 12.2080i −0.957461 0.461089i −0.111165 0.993802i \(-0.535458\pi\)
−0.846296 + 0.532713i \(0.821173\pi\)
\(702\) −2.09957 6.66633i −0.0792431 0.251605i
\(703\) 26.1869 + 32.8373i 0.987656 + 1.23848i
\(704\) −14.3849 27.3431i −0.542151 1.03053i
\(705\) 0.0133208i 0.000501692i
\(706\) 13.9681 + 14.8766i 0.525698 + 0.559887i
\(707\) 29.0645 + 7.81040i 1.09308 + 0.293740i
\(708\) 5.16288 9.19188i 0.194033 0.345452i
\(709\) 12.8391 16.0997i 0.482183 0.604638i −0.479924 0.877310i \(-0.659336\pi\)
0.962107 + 0.272672i \(0.0879073\pi\)
\(710\) 3.37217 8.74393i 0.126555 0.328154i
\(711\) −2.81467 + 5.84473i −0.105558 + 0.219194i
\(712\) 14.4668 31.4570i 0.542166 1.17890i
\(713\) 30.6949 + 24.4784i 1.14953 + 0.916722i
\(714\) −13.5579 + 18.5713i −0.507391 + 0.695013i
\(715\) −7.36780 + 5.87562i −0.275540 + 0.219736i
\(716\) −3.09733 19.0195i −0.115753 0.710791i
\(717\) 0.656334i 0.0245113i
\(718\) 9.23764 + 9.83841i 0.344746 + 0.367166i
\(719\) −4.30669 18.8689i −0.160613 0.703690i −0.989531 0.144320i \(-0.953900\pi\)
0.828918 0.559369i \(-0.188957\pi\)
\(720\) 0.248057 1.95933i 0.00924452 0.0730200i
\(721\) 6.99912 26.0455i 0.260661 0.969986i
\(722\) −0.198633 0.339389i −0.00739235 0.0126307i
\(723\) −0.365903 + 0.291798i −0.0136081 + 0.0108521i
\(724\) 13.2816 + 18.9936i 0.493606 + 0.705893i
\(725\) −3.68120 16.1284i −0.136716 0.598994i
\(726\) −1.99233 + 5.16606i −0.0739425 + 0.191730i
\(727\) 5.92224 25.9470i 0.219644 0.962323i −0.738098 0.674693i \(-0.764276\pi\)
0.957742 0.287629i \(-0.0928670\pi\)
\(728\) 15.3642 + 33.6406i 0.569434 + 1.24680i
\(729\) −0.222521 0.974928i −0.00824152 0.0361084i
\(730\) −5.16763 0.747653i −0.191263 0.0276719i
\(731\) 6.89027 8.64013i 0.254846 0.319567i
\(732\) 27.2573 + 1.71856i 1.00746 + 0.0635199i
\(733\) 13.5802 + 28.1996i 0.501597 + 1.04158i 0.986002 + 0.166734i \(0.0533220\pi\)
−0.484405 + 0.874844i \(0.660964\pi\)
\(734\) 2.30235 + 28.4619i 0.0849813 + 1.05055i
\(735\) 1.73244 2.99065i 0.0639020 0.110312i
\(736\) −28.0473 + 11.9768i −1.03384 + 0.441472i
\(737\) 34.2700 16.5036i 1.26235 0.607916i
\(738\) −1.45807 + 10.0779i −0.0536722 + 0.370972i
\(739\) −41.0511 32.7372i −1.51009 1.20426i −0.916851 0.399230i \(-0.869277\pi\)
−0.593239 0.805026i \(-0.702151\pi\)
\(740\) 9.42739 + 0.594394i 0.346558 + 0.0218504i
\(741\) −21.1550 + 4.82850i −0.777149 + 0.177379i
\(742\) −34.5849 6.35801i −1.26965 0.233410i
\(743\) −39.9231 9.11218i −1.46464 0.334293i −0.585425 0.810727i \(-0.699072\pi\)
−0.879211 + 0.476433i \(0.841929\pi\)
\(744\) −4.22618 + 20.1590i −0.154939 + 0.739066i
\(745\) 11.3094 2.58129i 0.414344 0.0945713i
\(746\) 11.4988 + 19.6471i 0.421001 + 0.719333i
\(747\) −0.254468 0.319093i −0.00931050 0.0116750i
\(748\) −38.8997 + 27.2011i −1.42231 + 0.994572i
\(749\) −17.9924 + 33.9836i −0.657427 + 1.24173i
\(750\) 6.35606 + 2.45127i 0.232090 + 0.0895077i
\(751\) −5.40938 + 1.23465i −0.197391 + 0.0450532i −0.320073 0.947393i \(-0.603708\pi\)
0.122682 + 0.992446i \(0.460850\pi\)
\(752\) −0.0905791 0.0586649i −0.00330308 0.00213929i
\(753\) 22.8920 0.834230
\(754\) 24.2306 1.96007i 0.882428 0.0713816i
\(755\) 5.57331 + 6.98871i 0.202833 + 0.254345i
\(756\) 1.80305 + 4.97484i 0.0655761 + 0.180933i
\(757\) 15.9856 20.0453i 0.581006 0.728559i −0.401278 0.915956i \(-0.631434\pi\)
0.982284 + 0.187398i \(0.0600053\pi\)
\(758\) −11.8935 + 17.6682i −0.431991 + 0.641739i
\(759\) 18.7591 + 9.03393i 0.680914 + 0.327911i
\(760\) −6.00119 1.25810i −0.217686 0.0456362i
\(761\) −7.32090 5.83823i −0.265383 0.211636i 0.481753 0.876307i \(-0.340000\pi\)
−0.747136 + 0.664671i \(0.768572\pi\)
\(762\) 14.2288 21.1374i 0.515453 0.765726i
\(763\) −20.0211 + 8.71785i −0.724813 + 0.315607i
\(764\) 2.52701 2.78894i 0.0914238 0.100900i
\(765\) −3.03421 −0.109702
\(766\) −3.21267 39.7154i −0.116078 1.43497i
\(767\) −20.3676 + 16.2426i −0.735431 + 0.586486i
\(768\) −12.2306 10.3156i −0.441335 0.372233i
\(769\) −20.4230 + 42.4087i −0.736471 + 1.52930i 0.108269 + 0.994122i \(0.465469\pi\)
−0.844740 + 0.535176i \(0.820245\pi\)
\(770\) 5.38371 4.68193i 0.194015 0.168725i
\(771\) 1.65733 + 3.44149i 0.0596874 + 0.123942i
\(772\) 25.0896 + 22.7332i 0.902994 + 0.818186i
\(773\) −1.31885