Properties

Label 165.2.r.a.29.11
Level $165$
Weight $2$
Character 165.29
Analytic conductor $1.318$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 165 = 3 \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 165.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.31753163335\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(20\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 29.11
Character \(\chi\) \(=\) 165.29
Dual form 165.2.r.a.74.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.303223 - 0.417350i) q^{2} +(0.337382 - 1.69887i) q^{3} +(0.535797 + 1.64901i) q^{4} +(1.78836 + 1.34229i) q^{5} +(-0.606723 - 0.655944i) q^{6} +(0.781546 + 2.40535i) q^{7} +(1.83193 + 0.595230i) q^{8} +(-2.77235 - 1.14634i) q^{9} +O(q^{10})\) \(q+(0.303223 - 0.417350i) q^{2} +(0.337382 - 1.69887i) q^{3} +(0.535797 + 1.64901i) q^{4} +(1.78836 + 1.34229i) q^{5} +(-0.606723 - 0.655944i) q^{6} +(0.781546 + 2.40535i) q^{7} +(1.83193 + 0.595230i) q^{8} +(-2.77235 - 1.14634i) q^{9} +(1.10248 - 0.339360i) q^{10} +(-0.813609 - 3.21528i) q^{11} +(2.98223 - 0.353903i) q^{12} +(-4.13780 - 3.00629i) q^{13} +(1.24086 + 0.403178i) q^{14} +(2.88375 - 2.58534i) q^{15} +(-2.00157 + 1.45422i) q^{16} +(-2.17976 - 3.00018i) q^{17} +(-1.31906 + 0.809443i) q^{18} +(1.97662 + 0.642242i) q^{19} +(-1.25526 + 3.66823i) q^{20} +(4.35007 - 0.516225i) q^{21} +(-1.58860 - 0.635387i) q^{22} -2.64175 q^{23} +(1.62928 - 2.91140i) q^{24} +(1.39650 + 4.80102i) q^{25} +(-2.50935 + 0.815337i) q^{26} +(-2.88283 + 4.32311i) q^{27} +(-3.54770 + 2.57756i) q^{28} +(-1.79775 - 5.53289i) q^{29} +(-0.204573 - 1.98747i) q^{30} +(4.64730 + 3.37646i) q^{31} +5.12872i q^{32} +(-5.73686 + 0.297439i) q^{33} -1.91308 q^{34} +(-1.83100 + 5.35071i) q^{35} +(0.404916 - 5.18584i) q^{36} +(8.16423 - 2.65272i) q^{37} +(0.867394 - 0.630199i) q^{38} +(-6.50333 + 6.01533i) q^{39} +(2.47719 + 3.52348i) q^{40} +(-0.856736 + 2.63676i) q^{41} +(1.10359 - 1.97203i) q^{42} -8.05145 q^{43} +(4.86611 - 3.06439i) q^{44} +(-3.41924 - 5.77138i) q^{45} +(-0.801039 + 1.10254i) q^{46} +(-1.10039 + 3.38664i) q^{47} +(1.79525 + 3.89104i) q^{48} +(0.488224 - 0.354715i) q^{49} +(2.42716 + 0.872951i) q^{50} +(-5.83233 + 2.69092i) q^{51} +(2.74039 - 8.43405i) q^{52} +(-5.04886 - 3.66821i) q^{53} +(0.930112 + 2.51401i) q^{54} +(2.86082 - 6.84220i) q^{55} +4.87163i q^{56} +(1.75796 - 3.14134i) q^{57} +(-2.85427 - 0.927409i) q^{58} +(3.98792 - 1.29575i) q^{59} +(5.80836 + 3.37013i) q^{60} +(-4.38022 - 6.02886i) q^{61} +(2.81833 - 0.915732i) q^{62} +(0.590635 - 7.56438i) q^{63} +(-1.86266 - 1.35330i) q^{64} +(-3.36457 - 10.9305i) q^{65} +(-1.61541 + 2.48447i) q^{66} +11.2044i q^{67} +(3.77942 - 5.20193i) q^{68} +(-0.891281 + 4.48801i) q^{69} +(1.67792 + 2.38662i) q^{70} +(0.927714 + 1.27689i) q^{71} +(-4.39641 - 3.75020i) q^{72} +(2.17457 + 6.69263i) q^{73} +(1.36847 - 4.21171i) q^{74} +(8.62748 - 0.752690i) q^{75} +3.60358i q^{76} +(7.09801 - 4.46990i) q^{77} +(0.538545 + 4.53815i) q^{78} +(-0.759973 + 1.04601i) q^{79} +(-5.53152 - 0.0860088i) q^{80} +(6.37181 + 6.35611i) q^{81} +(0.840672 + 1.15709i) q^{82} +(6.83795 + 9.41163i) q^{83} +(3.18201 + 6.89672i) q^{84} +(0.128920 - 8.29128i) q^{85} +(-2.44138 + 3.36027i) q^{86} +(-10.0062 + 1.18744i) q^{87} +(0.423358 - 6.37446i) q^{88} +6.15081i q^{89} +(-3.44548 - 0.322992i) q^{90} +(3.99730 - 12.3024i) q^{91} +(-1.41544 - 4.35629i) q^{92} +(7.30410 - 6.75602i) q^{93} +(1.07975 + 1.48615i) q^{94} +(2.67283 + 3.80176i) q^{95} +(8.71305 + 1.73034i) q^{96} +(-1.61795 + 2.22691i) q^{97} -0.311318i q^{98} +(-1.43020 + 9.84655i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{4} - 10q^{6} - 10q^{9} + O(q^{10}) \) \( 80q + 4q^{4} - 10q^{6} - 10q^{9} - 2q^{15} - 60q^{16} - 20q^{19} - 30q^{24} + 6q^{25} + 10q^{30} - 20q^{31} - 56q^{34} + 2q^{36} - 50q^{39} + 60q^{40} - 92q^{45} - 40q^{46} + 72q^{49} + 30q^{51} + 4q^{55} + 54q^{60} + 96q^{64} - 42q^{66} + 30q^{69} - 86q^{70} + 2q^{75} - 66q^{81} + 140q^{84} - 30q^{85} + 120q^{90} + 48q^{91} + 60q^{94} - 70q^{96} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\) \(67\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.303223 0.417350i 0.214411 0.295111i −0.688242 0.725482i \(-0.741617\pi\)
0.902652 + 0.430370i \(0.141617\pi\)
\(3\) 0.337382 1.69887i 0.194788 0.980845i
\(4\) 0.535797 + 1.64901i 0.267898 + 0.824507i
\(5\) 1.78836 + 1.34229i 0.799781 + 0.600292i
\(6\) −0.606723 0.655944i −0.247694 0.267788i
\(7\) 0.781546 + 2.40535i 0.295396 + 0.909137i 0.983088 + 0.183134i \(0.0586242\pi\)
−0.687692 + 0.726003i \(0.741376\pi\)
\(8\) 1.83193 + 0.595230i 0.647685 + 0.210446i
\(9\) −2.77235 1.14634i −0.924115 0.382114i
\(10\) 1.10248 0.339360i 0.348634 0.107315i
\(11\) −0.813609 3.21528i −0.245312 0.969444i
\(12\) 2.98223 0.353903i 0.860897 0.102163i
\(13\) −4.13780 3.00629i −1.14762 0.833794i −0.159457 0.987205i \(-0.550974\pi\)
−0.988163 + 0.153411i \(0.950974\pi\)
\(14\) 1.24086 + 0.403178i 0.331633 + 0.107754i
\(15\) 2.88375 2.58534i 0.744581 0.667532i
\(16\) −2.00157 + 1.45422i −0.500392 + 0.363556i
\(17\) −2.17976 3.00018i −0.528668 0.727650i 0.458258 0.888819i \(-0.348473\pi\)
−0.986927 + 0.161169i \(0.948473\pi\)
\(18\) −1.31906 + 0.809443i −0.310906 + 0.190787i
\(19\) 1.97662 + 0.642242i 0.453467 + 0.147340i 0.526840 0.849964i \(-0.323377\pi\)
−0.0733735 + 0.997305i \(0.523377\pi\)
\(20\) −1.25526 + 3.66823i −0.280685 + 0.820242i
\(21\) 4.35007 0.516225i 0.949262 0.112649i
\(22\) −1.58860 0.635387i −0.338691 0.135465i
\(23\) −2.64175 −0.550844 −0.275422 0.961323i \(-0.588818\pi\)
−0.275422 + 0.961323i \(0.588818\pi\)
\(24\) 1.62928 2.91140i 0.332576 0.594287i
\(25\) 1.39650 + 4.80102i 0.279299 + 0.960204i
\(26\) −2.50935 + 0.815337i −0.492124 + 0.159901i
\(27\) −2.88283 + 4.32311i −0.554801 + 0.831983i
\(28\) −3.54770 + 2.57756i −0.670453 + 0.487113i
\(29\) −1.79775 5.53289i −0.333833 1.02743i −0.967294 0.253658i \(-0.918366\pi\)
0.633461 0.773775i \(-0.281634\pi\)
\(30\) −0.204573 1.98747i −0.0373498 0.362860i
\(31\) 4.64730 + 3.37646i 0.834680 + 0.606431i 0.920879 0.389847i \(-0.127472\pi\)
−0.0861994 + 0.996278i \(0.527472\pi\)
\(32\) 5.12872i 0.906638i
\(33\) −5.73686 + 0.297439i −0.998659 + 0.0517776i
\(34\) −1.91308 −0.328090
\(35\) −1.83100 + 5.35071i −0.309495 + 0.904434i
\(36\) 0.404916 5.18584i 0.0674861 0.864307i
\(37\) 8.16423 2.65272i 1.34219 0.436104i 0.452133 0.891951i \(-0.350663\pi\)
0.890059 + 0.455846i \(0.150663\pi\)
\(38\) 0.867394 0.630199i 0.140710 0.102232i
\(39\) −6.50333 + 6.01533i −1.04137 + 0.963224i
\(40\) 2.47719 + 3.52348i 0.391677 + 0.557111i
\(41\) −0.856736 + 2.63676i −0.133800 + 0.411793i −0.995401 0.0957919i \(-0.969462\pi\)
0.861602 + 0.507585i \(0.169462\pi\)
\(42\) 1.10359 1.97203i 0.170288 0.304291i
\(43\) −8.05145 −1.22783 −0.613917 0.789370i \(-0.710407\pi\)
−0.613917 + 0.789370i \(0.710407\pi\)
\(44\) 4.86611 3.06439i 0.733594 0.461974i
\(45\) −3.41924 5.77138i −0.509710 0.860346i
\(46\) −0.801039 + 1.10254i −0.118107 + 0.162560i
\(47\) −1.10039 + 3.38664i −0.160508 + 0.493993i −0.998677 0.0514175i \(-0.983626\pi\)
0.838169 + 0.545410i \(0.183626\pi\)
\(48\) 1.79525 + 3.89104i 0.259122 + 0.561623i
\(49\) 0.488224 0.354715i 0.0697462 0.0506736i
\(50\) 2.42716 + 0.872951i 0.343252 + 0.123454i
\(51\) −5.83233 + 2.69092i −0.816690 + 0.376805i
\(52\) 2.74039 8.43405i 0.380023 1.16959i
\(53\) −5.04886 3.66821i −0.693514 0.503868i 0.184299 0.982870i \(-0.440998\pi\)
−0.877814 + 0.479003i \(0.840998\pi\)
\(54\) 0.930112 + 2.51401i 0.126572 + 0.342114i
\(55\) 2.86082 6.84220i 0.385753 0.922602i
\(56\) 4.87163i 0.650999i
\(57\) 1.75796 3.14134i 0.232848 0.416081i
\(58\) −2.85427 0.927409i −0.374784 0.121775i
\(59\) 3.98792 1.29575i 0.519183 0.168693i −0.0376915 0.999289i \(-0.512000\pi\)
0.556875 + 0.830597i \(0.312000\pi\)
\(60\) 5.80836 + 3.37013i 0.749856 + 0.435081i
\(61\) −4.38022 6.02886i −0.560830 0.771916i 0.430602 0.902542i \(-0.358301\pi\)
−0.991432 + 0.130626i \(0.958301\pi\)
\(62\) 2.81833 0.915732i 0.357929 0.116298i
\(63\) 0.590635 7.56438i 0.0744131 0.953022i
\(64\) −1.86266 1.35330i −0.232833 0.169163i
\(65\) −3.36457 10.9305i −0.417324 1.35576i
\(66\) −1.61541 + 2.48447i −0.198843 + 0.305817i
\(67\) 11.2044i 1.36884i 0.729087 + 0.684421i \(0.239945\pi\)
−0.729087 + 0.684421i \(0.760055\pi\)
\(68\) 3.77942 5.20193i 0.458322 0.630827i
\(69\) −0.891281 + 4.48801i −0.107298 + 0.540292i
\(70\) 1.67792 + 2.38662i 0.200550 + 0.285256i
\(71\) 0.927714 + 1.27689i 0.110099 + 0.151539i 0.860511 0.509432i \(-0.170145\pi\)
−0.750411 + 0.660971i \(0.770145\pi\)
\(72\) −4.39641 3.75020i −0.518122 0.441965i
\(73\) 2.17457 + 6.69263i 0.254514 + 0.783313i 0.993925 + 0.110059i \(0.0351039\pi\)
−0.739411 + 0.673254i \(0.764896\pi\)
\(74\) 1.36847 4.21171i 0.159081 0.489601i
\(75\) 8.62748 0.752690i 0.996216 0.0869131i
\(76\) 3.60358i 0.413359i
\(77\) 7.09801 4.46990i 0.808893 0.509393i
\(78\) 0.538545 + 4.53815i 0.0609782 + 0.513844i
\(79\) −0.759973 + 1.04601i −0.0855037 + 0.117686i −0.849626 0.527386i \(-0.823172\pi\)
0.764122 + 0.645071i \(0.223172\pi\)
\(80\) −5.53152 0.0860088i −0.618443 0.00961608i
\(81\) 6.37181 + 6.35611i 0.707978 + 0.706234i
\(82\) 0.840672 + 1.15709i 0.0928366 + 0.127779i
\(83\) 6.83795 + 9.41163i 0.750563 + 1.03306i 0.997941 + 0.0641418i \(0.0204310\pi\)
−0.247378 + 0.968919i \(0.579569\pi\)
\(84\) 3.18201 + 6.89672i 0.347186 + 0.752494i
\(85\) 0.128920 8.29128i 0.0139833 0.899316i
\(86\) −2.44138 + 3.36027i −0.263261 + 0.362348i
\(87\) −10.0062 + 1.18744i −1.07278 + 0.127307i
\(88\) 0.423358 6.37446i 0.0451301 0.679520i
\(89\) 6.15081i 0.651984i 0.945373 + 0.325992i \(0.105698\pi\)
−0.945373 + 0.325992i \(0.894302\pi\)
\(90\) −3.44548 0.322992i −0.363185 0.0340463i
\(91\) 3.99730 12.3024i 0.419030 1.28964i
\(92\) −1.41544 4.35629i −0.147570 0.454174i
\(93\) 7.30410 6.75602i 0.757400 0.700567i
\(94\) 1.07975 + 1.48615i 0.111368 + 0.153285i
\(95\) 2.67283 + 3.80176i 0.274227 + 0.390053i
\(96\) 8.71305 + 1.73034i 0.889272 + 0.176602i
\(97\) −1.61795 + 2.22691i −0.164278 + 0.226109i −0.883218 0.468963i \(-0.844628\pi\)
0.718940 + 0.695072i \(0.244628\pi\)
\(98\) 0.311318i 0.0314479i
\(99\) −1.43020 + 9.84655i −0.143741 + 0.989615i
\(100\) −7.16871 + 4.87521i −0.716871 + 0.487521i
\(101\) 6.07810 + 4.41600i 0.604793 + 0.439408i 0.847577 0.530672i \(-0.178060\pi\)
−0.242784 + 0.970080i \(0.578060\pi\)
\(102\) −0.645438 + 3.25007i −0.0639079 + 0.321805i
\(103\) 13.8164 4.48920i 1.36137 0.442334i 0.464867 0.885381i \(-0.346102\pi\)
0.896499 + 0.443046i \(0.146102\pi\)
\(104\) −5.79073 7.97026i −0.567828 0.781548i
\(105\) 8.47243 + 4.91587i 0.826825 + 0.479740i
\(106\) −3.06186 + 0.994858i −0.297394 + 0.0966291i
\(107\) 3.38762 + 1.10070i 0.327493 + 0.106409i 0.468149 0.883650i \(-0.344921\pi\)
−0.140656 + 0.990059i \(0.544921\pi\)
\(108\) −8.67348 2.43751i −0.834606 0.234550i
\(109\) 19.1935i 1.83840i −0.393787 0.919202i \(-0.628835\pi\)
0.393787 0.919202i \(-0.371165\pi\)
\(110\) −1.98813 3.26867i −0.189560 0.311656i
\(111\) −1.75217 14.7650i −0.166308 1.40143i
\(112\) −5.06223 3.67793i −0.478336 0.347531i
\(113\) 2.76537 8.51092i 0.260144 0.800640i −0.732629 0.680629i \(-0.761707\pi\)
0.992772 0.120012i \(-0.0382932\pi\)
\(114\) −0.777985 1.68621i −0.0728650 0.157928i
\(115\) −4.72442 3.54601i −0.440554 0.330667i
\(116\) 8.16059 5.92901i 0.757692 0.550495i
\(117\) 8.02519 + 13.0778i 0.741929 + 1.20904i
\(118\) 0.668445 2.05726i 0.0615353 0.189386i
\(119\) 5.51290 7.58785i 0.505366 0.695577i
\(120\) 6.82170 3.01967i 0.622733 0.275657i
\(121\) −9.67608 + 5.23197i −0.879644 + 0.475633i
\(122\) −3.84433 −0.348049
\(123\) 4.19048 + 2.34508i 0.377843 + 0.211449i
\(124\) −3.07782 + 9.47256i −0.276396 + 0.850661i
\(125\) −3.94694 + 10.4605i −0.353025 + 0.935614i
\(126\) −2.97790 2.54019i −0.265293 0.226298i
\(127\) 1.08484 0.788183i 0.0962640 0.0699399i −0.538612 0.842554i \(-0.681051\pi\)
0.634876 + 0.772614i \(0.281051\pi\)
\(128\) −10.8850 + 3.53675i −0.962108 + 0.312608i
\(129\) −2.71642 + 13.6784i −0.239167 + 1.20432i
\(130\) −5.58205 1.91016i −0.489579 0.167532i
\(131\) −18.2001 −1.59015 −0.795075 0.606511i \(-0.792569\pi\)
−0.795075 + 0.606511i \(0.792569\pi\)
\(132\) −3.56427 9.30079i −0.310230 0.809529i
\(133\) 5.25640i 0.455787i
\(134\) 4.67618 + 3.39744i 0.403960 + 0.293494i
\(135\) −10.9584 + 3.86170i −0.943152 + 0.332362i
\(136\) −2.20737 6.79357i −0.189280 0.582544i
\(137\) −9.76794 + 7.09682i −0.834531 + 0.606322i −0.920838 0.389946i \(-0.872494\pi\)
0.0863064 + 0.996269i \(0.472494\pi\)
\(138\) 1.60281 + 1.73284i 0.136441 + 0.147509i
\(139\) −0.0797187 + 0.0259022i −0.00676165 + 0.00219699i −0.312396 0.949952i \(-0.601132\pi\)
0.305634 + 0.952149i \(0.401132\pi\)
\(140\) −9.80443 0.152448i −0.828625 0.0128842i
\(141\) 5.38223 + 3.01201i 0.453265 + 0.253657i
\(142\) 0.814213 0.0683273
\(143\) −6.29951 + 15.7501i −0.526792 + 1.31709i
\(144\) 7.21607 1.73713i 0.601339 0.144761i
\(145\) 4.21174 12.3079i 0.349766 1.02212i
\(146\) 3.45255 + 1.12180i 0.285735 + 0.0928409i
\(147\) −0.437898 0.949105i −0.0361173 0.0782809i
\(148\) 8.74874 + 12.0416i 0.719142 + 0.989814i
\(149\) 12.8047 9.30313i 1.04900 0.762142i 0.0769772 0.997033i \(-0.475473\pi\)
0.972022 + 0.234890i \(0.0754731\pi\)
\(150\) 2.30191 3.82891i 0.187950 0.312629i
\(151\) 7.36748 + 2.39384i 0.599557 + 0.194808i 0.593043 0.805171i \(-0.297926\pi\)
0.00651432 + 0.999979i \(0.497926\pi\)
\(152\) 3.23874 + 2.35308i 0.262697 + 0.190860i
\(153\) 2.60381 + 10.8163i 0.210506 + 0.874444i
\(154\) 0.286761 4.31773i 0.0231079 0.347933i
\(155\) 3.77887 + 12.2764i 0.303526 + 0.986063i
\(156\) −13.4038 7.50107i −1.07316 0.600567i
\(157\) −4.62394 1.50241i −0.369030 0.119905i 0.118630 0.992938i \(-0.462150\pi\)
−0.487661 + 0.873033i \(0.662150\pi\)
\(158\) 0.206113 + 0.634350i 0.0163975 + 0.0504662i
\(159\) −7.93523 + 7.33979i −0.629304 + 0.582083i
\(160\) −6.88425 + 9.17202i −0.544247 + 0.725112i
\(161\) −2.06465 6.35434i −0.162717 0.500792i
\(162\) 4.58480 0.731959i 0.360216 0.0575081i
\(163\) 8.38716 11.5439i 0.656933 0.904191i −0.342442 0.939539i \(-0.611254\pi\)
0.999375 + 0.0353479i \(0.0112539\pi\)
\(164\) −4.80709 −0.375371
\(165\) −10.6588 7.16862i −0.829790 0.558076i
\(166\) 6.00137 0.465796
\(167\) −7.50419 + 10.3286i −0.580692 + 0.799254i −0.993771 0.111441i \(-0.964453\pi\)
0.413079 + 0.910695i \(0.364453\pi\)
\(168\) 8.27629 + 1.64360i 0.638530 + 0.126807i
\(169\) 4.06641 + 12.5151i 0.312800 + 0.962701i
\(170\) −3.42128 2.56791i −0.262400 0.196950i
\(171\) −4.74364 4.04639i −0.362755 0.309435i
\(172\) −4.31394 13.2769i −0.328935 1.01236i
\(173\) 4.31646 + 1.40250i 0.328174 + 0.106630i 0.468470 0.883479i \(-0.344805\pi\)
−0.140296 + 0.990110i \(0.544805\pi\)
\(174\) −2.53853 + 4.53616i −0.192446 + 0.343885i
\(175\) −10.4567 + 7.11128i −0.790453 + 0.537562i
\(176\) 6.30423 + 5.25243i 0.475199 + 0.395917i
\(177\) −0.855868 7.21214i −0.0643310 0.542098i
\(178\) 2.56704 + 1.86506i 0.192408 + 0.139792i
\(179\) −10.3308 3.35667i −0.772158 0.250889i −0.103669 0.994612i \(-0.533058\pi\)
−0.668488 + 0.743723i \(0.733058\pi\)
\(180\) 7.68506 8.73066i 0.572810 0.650745i
\(181\) 7.41705 5.38880i 0.551305 0.400546i −0.276962 0.960881i \(-0.589327\pi\)
0.828266 + 0.560335i \(0.189327\pi\)
\(182\) −3.92234 5.39864i −0.290743 0.400174i
\(183\) −11.7201 + 5.40741i −0.866373 + 0.399727i
\(184\) −4.83951 1.57245i −0.356773 0.115923i
\(185\) 18.1613 + 6.21477i 1.33525 + 0.456919i
\(186\) −0.604857 5.09695i −0.0443503 0.373726i
\(187\) −7.87294 + 9.44950i −0.575727 + 0.691016i
\(188\) −6.17420 −0.450300
\(189\) −12.6517 3.55550i −0.920273 0.258625i
\(190\) 2.39713 + 0.0372726i 0.173906 + 0.00270404i
\(191\) −1.03400 + 0.335966i −0.0748173 + 0.0243096i −0.346187 0.938166i \(-0.612524\pi\)
0.271369 + 0.962475i \(0.412524\pi\)
\(192\) −2.92752 + 2.70785i −0.211276 + 0.195422i
\(193\) 1.63164 1.18546i 0.117448 0.0853312i −0.527511 0.849548i \(-0.676874\pi\)
0.644959 + 0.764217i \(0.276874\pi\)
\(194\) 0.438804 + 1.35050i 0.0315043 + 0.0969603i
\(195\) −19.7047 + 2.02824i −1.41108 + 0.145245i
\(196\) 0.846519 + 0.615032i 0.0604656 + 0.0439308i
\(197\) 12.3074i 0.876867i −0.898764 0.438434i \(-0.855533\pi\)
0.898764 0.438434i \(-0.144467\pi\)
\(198\) 3.67579 + 3.58259i 0.261227 + 0.254604i
\(199\) −2.23358 −0.158335 −0.0791673 0.996861i \(-0.525226\pi\)
−0.0791673 + 0.996861i \(0.525226\pi\)
\(200\) −0.299430 + 9.62637i −0.0211729 + 0.680687i
\(201\) 19.0349 + 3.78018i 1.34262 + 0.266634i
\(202\) 3.68603 1.19767i 0.259348 0.0842674i
\(203\) 11.9035 8.64842i 0.835464 0.607000i
\(204\) −7.56231 8.17580i −0.529468 0.572421i
\(205\) −5.07147 + 3.56550i −0.354207 + 0.249025i
\(206\) 2.31586 7.12748i 0.161354 0.496595i
\(207\) 7.32386 + 3.02835i 0.509043 + 0.210485i
\(208\) 12.6539 0.877390
\(209\) 0.456795 6.87791i 0.0315972 0.475755i
\(210\) 4.62067 2.04537i 0.318857 0.141144i
\(211\) −7.34536 + 10.1100i −0.505676 + 0.696003i −0.983183 0.182625i \(-0.941541\pi\)
0.477507 + 0.878628i \(0.341541\pi\)
\(212\) 3.34377 10.2911i 0.229651 0.706792i
\(213\) 2.48227 1.14527i 0.170082 0.0784725i
\(214\) 1.48658 1.08006i 0.101621 0.0738317i
\(215\) −14.3989 10.8074i −0.981999 0.737059i
\(216\) −7.85439 + 6.20369i −0.534424 + 0.422108i
\(217\) −4.48950 + 13.8172i −0.304767 + 0.937976i
\(218\) −8.01041 5.81990i −0.542533 0.394174i
\(219\) 12.1036 1.43634i 0.817885 0.0970588i
\(220\) 12.8157 + 1.05151i 0.864034 + 0.0708926i
\(221\) 18.9671i 1.27587i
\(222\) −6.69346 3.74581i −0.449236 0.251402i
\(223\) 12.9699 + 4.21419i 0.868531 + 0.282203i 0.709187 0.705020i \(-0.249062\pi\)
0.159344 + 0.987223i \(0.449062\pi\)
\(224\) −12.3364 + 4.00833i −0.824258 + 0.267818i
\(225\) 1.63204 14.9110i 0.108802 0.994063i
\(226\) −2.71351 3.73483i −0.180500 0.248437i
\(227\) 14.7564 4.79464i 0.979416 0.318232i 0.224805 0.974404i \(-0.427825\pi\)
0.754611 + 0.656172i \(0.227825\pi\)
\(228\) 6.12202 + 1.21578i 0.405441 + 0.0805172i
\(229\) −2.23835 1.62625i −0.147914 0.107466i 0.511367 0.859362i \(-0.329139\pi\)
−0.659281 + 0.751897i \(0.729139\pi\)
\(230\) −2.91248 + 0.896506i −0.192043 + 0.0591139i
\(231\) −5.19906 13.5667i −0.342073 0.892622i
\(232\) 11.2060i 0.735707i
\(233\) 16.5952 22.8414i 1.08719 1.49639i 0.235836 0.971793i \(-0.424217\pi\)
0.851353 0.524594i \(-0.175783\pi\)
\(234\) 7.89144 + 0.616173i 0.515880 + 0.0402805i
\(235\) −6.51376 + 4.57951i −0.424911 + 0.298734i
\(236\) 4.27343 + 5.88187i 0.278177 + 0.382877i
\(237\) 1.52064 + 1.64401i 0.0987764 + 0.106790i
\(238\) −1.49516 4.60162i −0.0969165 0.298278i
\(239\) 6.36557 19.5912i 0.411755 1.26725i −0.503367 0.864073i \(-0.667906\pi\)
0.915122 0.403178i \(-0.132094\pi\)
\(240\) −2.01236 + 9.36835i −0.129897 + 0.604724i
\(241\) 25.5410i 1.64524i 0.568593 + 0.822619i \(0.307488\pi\)
−0.568593 + 0.822619i \(0.692512\pi\)
\(242\) −0.750445 + 5.62476i −0.0482404 + 0.361574i
\(243\) 12.9480 8.68046i 0.830612 0.556852i
\(244\) 7.59476 10.4533i 0.486204 0.669203i
\(245\) 1.34925 + 0.0209793i 0.0862007 + 0.00134032i
\(246\) 2.24937 1.03781i 0.143415 0.0661687i
\(247\) −6.24808 8.59975i −0.397556 0.547189i
\(248\) 6.50376 + 8.95166i 0.412989 + 0.568431i
\(249\) 18.2962 8.44150i 1.15947 0.534958i
\(250\) 3.16888 + 4.81911i 0.200418 + 0.304787i
\(251\) −1.10276 + 1.51782i −0.0696058 + 0.0958042i −0.842401 0.538852i \(-0.818858\pi\)
0.772795 + 0.634656i \(0.218858\pi\)
\(252\) 12.7902 3.07901i 0.805708 0.193959i
\(253\) 2.14935 + 8.49398i 0.135129 + 0.534012i
\(254\) 0.691753i 0.0434045i
\(255\) −14.0423 3.01635i −0.879366 0.188891i
\(256\) −0.401569 + 1.23590i −0.0250981 + 0.0772439i
\(257\) −1.46219 4.50015i −0.0912088 0.280712i 0.895038 0.445989i \(-0.147148\pi\)
−0.986247 + 0.165277i \(0.947148\pi\)
\(258\) 4.88500 + 5.28130i 0.304127 + 0.328799i
\(259\) 12.7614 + 17.5646i 0.792957 + 1.09141i
\(260\) 16.2218 11.4047i 1.00603 0.707292i
\(261\) −1.35861 + 17.3999i −0.0840956 + 1.07703i
\(262\) −5.51868 + 7.59581i −0.340945 + 0.469271i
\(263\) 15.6801i 0.966876i 0.875379 + 0.483438i \(0.160612\pi\)
−0.875379 + 0.483438i \(0.839388\pi\)
\(264\) −10.6866 2.86986i −0.657713 0.176628i
\(265\) −4.10539 13.3372i −0.252192 0.819295i
\(266\) 2.19376 + 1.59386i 0.134508 + 0.0977257i
\(267\) 10.4494 + 2.07517i 0.639496 + 0.126999i
\(268\) −18.4763 + 6.00331i −1.12862 + 0.366710i
\(269\) 13.1887 + 18.1527i 0.804128 + 1.10679i 0.992203 + 0.124633i \(0.0397752\pi\)
−0.188075 + 0.982155i \(0.560225\pi\)
\(270\) −1.71117 + 5.74446i −0.104138 + 0.349597i
\(271\) 3.90298 1.26816i 0.237089 0.0770349i −0.188062 0.982157i \(-0.560221\pi\)
0.425152 + 0.905122i \(0.360221\pi\)
\(272\) 8.72585 + 2.83520i 0.529082 + 0.171909i
\(273\) −19.5516 10.9415i −1.18332 0.662211i
\(274\) 6.22857i 0.376281i
\(275\) 14.3004 8.39628i 0.862349 0.506315i
\(276\) −7.87833 + 0.934925i −0.474220 + 0.0562759i
\(277\) 4.94006 + 3.58916i 0.296819 + 0.215652i 0.726220 0.687462i \(-0.241275\pi\)
−0.429401 + 0.903114i \(0.641275\pi\)
\(278\) −0.0133622 + 0.0411247i −0.000801414 + 0.00246650i
\(279\) −9.01335 14.6881i −0.539615 0.879354i
\(280\) −6.53916 + 8.71226i −0.390790 + 0.520657i
\(281\) −8.23840 + 5.98555i −0.491462 + 0.357068i −0.805746 0.592261i \(-0.798235\pi\)
0.314284 + 0.949329i \(0.398235\pi\)
\(282\) 2.88908 1.33296i 0.172042 0.0793768i
\(283\) −4.23598 + 13.0370i −0.251803 + 0.774970i 0.742640 + 0.669691i \(0.233573\pi\)
−0.994443 + 0.105279i \(0.966427\pi\)
\(284\) −1.60854 + 2.21396i −0.0954493 + 0.131375i
\(285\) 7.36048 3.25816i 0.435997 0.192997i
\(286\) 4.66317 + 7.40490i 0.275739 + 0.437861i
\(287\) −7.01192 −0.413900
\(288\) 5.87926 14.2186i 0.346439 0.837838i
\(289\) 1.00357 3.08866i 0.0590333 0.181686i
\(290\) −3.85962 5.48982i −0.226645 0.322373i
\(291\) 3.23738 + 3.50001i 0.189778 + 0.205174i
\(292\) −9.87110 + 7.17178i −0.577663 + 0.419697i
\(293\) −28.8511 + 9.37430i −1.68550 + 0.547652i −0.985966 0.166946i \(-0.946609\pi\)
−0.699535 + 0.714599i \(0.746609\pi\)
\(294\) −0.528890 0.105033i −0.0308455 0.00612566i
\(295\) 8.87114 + 3.03568i 0.516498 + 0.176744i
\(296\) 16.5353 0.961094
\(297\) 16.2455 + 5.75179i 0.942661 + 0.333753i
\(298\) 8.16495i 0.472983i
\(299\) 10.9310 + 7.94187i 0.632159 + 0.459290i
\(300\) 5.86377 + 13.8235i 0.338545 + 0.798103i
\(301\) −6.29257 19.3666i −0.362698 1.11627i
\(302\) 3.23306 2.34895i 0.186042 0.135167i
\(303\) 9.55287 8.83605i 0.548798 0.507618i
\(304\) −4.89029 + 1.58895i −0.280477 + 0.0911326i
\(305\) 0.259065 16.6613i 0.0148340 0.954025i
\(306\) 5.30371 + 2.19304i 0.303193 + 0.125368i
\(307\) 6.93259 0.395664 0.197832 0.980236i \(-0.436610\pi\)
0.197832 + 0.980236i \(0.436610\pi\)
\(308\) 11.1740 + 9.30975i 0.636699 + 0.530472i
\(309\) −2.96520 24.9868i −0.168684 1.42145i
\(310\) 6.26939 + 2.14537i 0.356077 + 0.121849i
\(311\) −29.5560 9.60334i −1.67597 0.544555i −0.691846 0.722045i \(-0.743202\pi\)
−0.984123 + 0.177490i \(0.943202\pi\)
\(312\) −15.4942 + 7.14870i −0.877184 + 0.404715i
\(313\) −16.4517 22.6438i −0.929905 1.27990i −0.959897 0.280354i \(-0.909548\pi\)
0.0299919 0.999550i \(-0.490452\pi\)
\(314\) −2.02911 + 1.47424i −0.114509 + 0.0831960i
\(315\) 11.2099 12.7351i 0.631606 0.717540i
\(316\) −2.13208 0.692755i −0.119939 0.0389705i
\(317\) 0.803948 + 0.584102i 0.0451542 + 0.0328064i 0.610133 0.792299i \(-0.291116\pi\)
−0.564979 + 0.825105i \(0.691116\pi\)
\(318\) 0.657121 + 5.53736i 0.0368495 + 0.310520i
\(319\) −16.3272 + 10.2819i −0.914145 + 0.575674i
\(320\) −1.51459 4.92044i −0.0846680 0.275061i
\(321\) 3.01288 5.38378i 0.168163 0.300493i
\(322\) −3.27803 1.06510i −0.182678 0.0593556i
\(323\) −2.38170 7.33013i −0.132521 0.407859i
\(324\) −7.06731 + 13.9128i −0.392628 + 0.772932i
\(325\) 8.65483 24.0639i 0.480084 1.33483i
\(326\) −2.27469 7.00077i −0.125983 0.387737i
\(327\) −32.6073 6.47555i −1.80319 0.358099i
\(328\) −3.13896 + 4.32041i −0.173320 + 0.238555i
\(329\) −9.00606 −0.496520
\(330\) −6.22383 + 2.27478i −0.342610 + 0.125223i
\(331\) 8.13063 0.446900 0.223450 0.974715i \(-0.428268\pi\)
0.223450 + 0.974715i \(0.428268\pi\)
\(332\) −11.8562 + 16.3186i −0.650691 + 0.895599i
\(333\) −25.6750 2.00473i −1.40698 0.109859i
\(334\) 2.03522 + 6.26375i 0.111362 + 0.342737i
\(335\) −15.0397 + 20.0376i −0.821704 + 1.09477i
\(336\) −7.95624 + 7.35922i −0.434049 + 0.401479i
\(337\) −0.604185 1.85949i −0.0329121 0.101293i 0.933251 0.359225i \(-0.116959\pi\)
−0.966163 + 0.257932i \(0.916959\pi\)
\(338\) 6.45621 + 2.09775i 0.351172 + 0.114103i
\(339\) −13.5260 7.56945i −0.734632 0.411116i
\(340\) 13.7415 4.22985i 0.745238 0.229396i
\(341\) 7.07519 17.6895i 0.383143 0.957941i
\(342\) −3.12714 + 0.752800i −0.169096 + 0.0407068i
\(343\) 15.5576 + 11.3032i 0.840030 + 0.610318i
\(344\) −14.7497 4.79247i −0.795250 0.258392i
\(345\) −7.61816 + 6.82983i −0.410148 + 0.367706i
\(346\) 1.89418 1.37620i 0.101832 0.0739852i
\(347\) 8.81998 + 12.1397i 0.473481 + 0.651691i 0.977236 0.212156i \(-0.0680485\pi\)
−0.503755 + 0.863847i \(0.668048\pi\)
\(348\) −7.31941 15.8642i −0.392362 0.850408i
\(349\) −3.13156 1.01751i −0.167628 0.0544658i 0.224000 0.974589i \(-0.428088\pi\)
−0.391629 + 0.920123i \(0.628088\pi\)
\(350\) −0.202819 + 6.52041i −0.0108411 + 0.348531i
\(351\) 24.9251 9.22156i 1.33040 0.492210i
\(352\) 16.4903 4.17277i 0.878935 0.222409i
\(353\) −2.22323 −0.118331 −0.0591654 0.998248i \(-0.518844\pi\)
−0.0591654 + 0.998248i \(0.518844\pi\)
\(354\) −3.26951 1.82969i −0.173772 0.0972468i
\(355\) −0.0548689 + 3.52881i −0.00291214 + 0.187290i
\(356\) −10.1428 + 3.29558i −0.537565 + 0.174665i
\(357\) −11.0308 11.9257i −0.583814 0.631176i
\(358\) −4.53343 + 3.29373i −0.239599 + 0.174079i
\(359\) 4.73786 + 14.5816i 0.250055 + 0.769590i 0.994764 + 0.102200i \(0.0325883\pi\)
−0.744709 + 0.667389i \(0.767412\pi\)
\(360\) −2.82851 12.6080i −0.149076 0.664500i
\(361\) −11.8768 8.62899i −0.625094 0.454157i
\(362\) 4.72951i 0.248578i
\(363\) 5.62391 + 18.2036i 0.295179 + 0.955442i
\(364\) 22.4286 1.17558
\(365\) −5.09455 + 14.8878i −0.266661 + 0.779261i
\(366\) −1.29701 + 6.53103i −0.0677957 + 0.341382i
\(367\) −20.7145 + 6.73055i −1.08129 + 0.351332i −0.794874 0.606774i \(-0.792463\pi\)
−0.286414 + 0.958106i \(0.592463\pi\)
\(368\) 5.28764 3.84170i 0.275638 0.200262i
\(369\) 5.39780 6.32791i 0.280998 0.329418i
\(370\) 8.10067 5.69518i 0.421134 0.296079i
\(371\) 4.87742 15.0112i 0.253223 0.779340i
\(372\) 15.0543 + 8.42471i 0.780528 + 0.436801i
\(373\) −12.9633 −0.671212 −0.335606 0.942003i \(-0.608941\pi\)
−0.335606 + 0.942003i \(0.608941\pi\)
\(374\) 1.55650 + 6.15108i 0.0804845 + 0.318065i
\(375\) 16.4394 + 10.2345i 0.848928 + 0.528509i
\(376\) −4.03166 + 5.54911i −0.207917 + 0.286173i
\(377\) −9.19476 + 28.2986i −0.473554 + 1.45745i
\(378\) −5.32016 + 4.20206i −0.273639 + 0.216131i
\(379\) 14.7670 10.7289i 0.758530 0.551104i −0.139929 0.990162i \(-0.544687\pi\)
0.898459 + 0.439057i \(0.144687\pi\)
\(380\) −4.83706 + 6.44451i −0.248136 + 0.330596i
\(381\) −0.973017 2.10893i −0.0498492 0.108044i
\(382\) −0.173316 + 0.533411i −0.00886760 + 0.0272917i
\(383\) −28.2216 20.5042i −1.44206 1.04772i −0.987607 0.156945i \(-0.949836\pi\)
−0.454451 0.890772i \(-0.650164\pi\)
\(384\) 2.33609 + 19.6855i 0.119213 + 1.00457i
\(385\) 18.6937 + 1.53379i 0.952722 + 0.0781692i
\(386\) 1.04042i 0.0529562i
\(387\) 22.3214 + 9.22970i 1.13466 + 0.469172i
\(388\) −4.53910 1.47484i −0.230438 0.0748738i
\(389\) −5.24356 + 1.70374i −0.265859 + 0.0863829i −0.438913 0.898529i \(-0.644636\pi\)
0.173054 + 0.984912i \(0.444636\pi\)
\(390\) −5.12842 + 8.83875i −0.259687 + 0.447568i
\(391\) 5.75838 + 7.92573i 0.291214 + 0.400821i
\(392\) 1.10553 0.359208i 0.0558376 0.0181428i
\(393\) −6.14039 + 30.9197i −0.309742 + 1.55969i
\(394\) −5.13650 3.73189i −0.258773 0.188010i
\(395\) −2.76317 + 0.850546i −0.139030 + 0.0427956i
\(396\) −17.0034 + 2.91733i −0.854452 + 0.146601i
\(397\) 3.53950i 0.177642i −0.996048 0.0888212i \(-0.971690\pi\)
0.996048 0.0888212i \(-0.0283100\pi\)
\(398\) −0.677273 + 0.932187i −0.0339486 + 0.0467263i
\(399\) 8.92995 + 1.77342i 0.447057 + 0.0887818i
\(400\) −9.77693 7.57875i −0.488847 0.378937i
\(401\) −13.4903 18.5679i −0.673676 0.927235i 0.326161 0.945314i \(-0.394245\pi\)
−0.999837 + 0.0180793i \(0.994245\pi\)
\(402\) 7.34949 6.79800i 0.366559 0.339053i
\(403\) −9.07899 27.9423i −0.452257 1.39190i
\(404\) −4.02541 + 12.3889i −0.200272 + 0.616373i
\(405\) 2.86335 + 19.9199i 0.142281 + 0.989826i
\(406\) 7.59034i 0.376702i
\(407\) −15.1717 24.0920i −0.752035 1.19420i
\(408\) −12.2861 + 1.45800i −0.608255 + 0.0721819i
\(409\) −10.7191 + 14.7536i −0.530026 + 0.729518i −0.987134 0.159893i \(-0.948885\pi\)
0.457108 + 0.889411i \(0.348885\pi\)
\(410\) −0.0497208 + 3.19772i −0.00245554 + 0.157924i
\(411\) 8.76108 + 18.9888i 0.432152 + 0.936650i
\(412\) 14.8055 + 20.3780i 0.729415 + 1.00395i
\(413\) 6.23348 + 8.57965i 0.306730 + 0.422177i
\(414\) 3.48464 2.13835i 0.171261 0.105094i
\(415\) −0.404425 + 26.0100i −0.0198524 + 1.27678i
\(416\) 15.4184 21.2216i 0.755950 1.04048i
\(417\) 0.0171088 + 0.144171i 0.000837824 + 0.00706008i
\(418\) −2.73199 2.27618i −0.133626 0.111332i
\(419\) 16.4557i 0.803915i 0.915658 + 0.401958i \(0.131670\pi\)
−0.915658 + 0.401958i \(0.868330\pi\)
\(420\) −3.56683 + 16.6051i −0.174044 + 0.810244i
\(421\) −2.56611 + 7.89766i −0.125064 + 0.384908i −0.993913 0.110170i \(-0.964861\pi\)
0.868848 + 0.495078i \(0.164861\pi\)
\(422\) 1.99214 + 6.13118i 0.0969759 + 0.298461i
\(423\) 6.93290 8.12753i 0.337089 0.395174i
\(424\) −7.06573 9.72514i −0.343142 0.472295i
\(425\) 11.3599 14.6548i 0.551036 0.710861i
\(426\) 0.274701 1.38325i 0.0133093 0.0670185i
\(427\) 11.0782 15.2478i 0.536110 0.737892i
\(428\) 6.17598i 0.298527i
\(429\) 24.6322 + 16.0159i 1.18925 + 0.773255i
\(430\) −8.87655 + 2.73234i −0.428065 + 0.131765i
\(431\) 1.30305 + 0.946719i 0.0627656 + 0.0456019i 0.618726 0.785607i \(-0.287649\pi\)
−0.555960 + 0.831209i \(0.687649\pi\)
\(432\) −0.516595 12.8453i −0.0248547 0.618018i
\(433\) −32.5345 + 10.5711i −1.56351 + 0.508014i −0.957742 0.287629i \(-0.907133\pi\)
−0.605765 + 0.795643i \(0.707133\pi\)
\(434\) 4.40531 + 6.06339i 0.211462 + 0.291052i
\(435\) −19.4887 11.3077i −0.934410 0.542163i
\(436\) 31.6503 10.2838i 1.51578 0.492505i
\(437\) −5.22173 1.69664i −0.249789 0.0811615i
\(438\) 3.07063 5.48697i 0.146720 0.262177i
\(439\) 33.7426i 1.61045i −0.592971 0.805224i \(-0.702045\pi\)
0.592971 0.805224i \(-0.297955\pi\)
\(440\) 9.31351 10.8316i 0.444004 0.516376i
\(441\) −1.76015 + 0.423723i −0.0838166 + 0.0201773i
\(442\) 7.91592 + 5.75126i 0.376522 + 0.273559i
\(443\) 9.84243 30.2919i 0.467628 1.43921i −0.388019 0.921651i \(-0.626840\pi\)
0.855647 0.517560i \(-0.173160\pi\)
\(444\) 23.4088 10.8004i 1.11093 0.512563i
\(445\) −8.25619 + 10.9999i −0.391381 + 0.521444i
\(446\) 5.69157 4.13517i 0.269504 0.195806i
\(447\) −11.4848 24.8922i −0.543212 1.17736i
\(448\) 1.79941 5.53802i 0.0850142 0.261647i
\(449\) −11.5568 + 15.9065i −0.545398 + 0.750675i −0.989379 0.145361i \(-0.953566\pi\)
0.443981 + 0.896036i \(0.353566\pi\)
\(450\) −5.72822 5.20247i −0.270031 0.245247i
\(451\) 9.17499 + 0.609355i 0.432033 + 0.0286934i
\(452\) 15.5163 0.729825
\(453\) 6.55249 11.7088i 0.307863 0.550127i
\(454\) 2.47343 7.61243i 0.116084 0.357269i
\(455\) 23.6621 16.6357i 1.10929 0.779891i
\(456\) 5.09029 4.70833i 0.238375 0.220488i
\(457\) 33.4096 24.2735i 1.56284 1.13547i 0.629198 0.777245i \(-0.283383\pi\)
0.933637 0.358221i \(-0.116617\pi\)
\(458\) −1.35744 + 0.441057i −0.0634288 + 0.0206093i
\(459\) 19.2540 0.774331i 0.898698 0.0361427i
\(460\) 3.31609 9.69057i 0.154613 0.451825i
\(461\) −11.6638 −0.543237 −0.271619 0.962405i \(-0.587559\pi\)
−0.271619 + 0.962405i \(0.587559\pi\)
\(462\) −7.23853 1.94390i −0.336767 0.0904383i
\(463\) 11.5131i 0.535058i −0.963550 0.267529i \(-0.913793\pi\)
0.963550 0.267529i \(-0.0862071\pi\)
\(464\) 11.6444 + 8.46013i 0.540576 + 0.392752i
\(465\) 22.1310 2.27798i 1.02630 0.105639i
\(466\) −4.50080 13.8520i −0.208495 0.641683i
\(467\) 23.8875 17.3553i 1.10538 0.803108i 0.123453 0.992350i \(-0.460603\pi\)
0.981930 + 0.189243i \(0.0606033\pi\)
\(468\) −17.2656 + 20.2407i −0.798102 + 0.935626i
\(469\) −26.9506 + 8.75679i −1.24446 + 0.404351i
\(470\) −0.0638611 + 4.10713i −0.00294569 + 0.189448i
\(471\) −4.11244 + 7.34860i −0.189491 + 0.338606i
\(472\) 8.07687 0.371768
\(473\) 6.55073 + 25.8877i 0.301203 + 1.19032i
\(474\) 1.14722 0.136141i 0.0526935 0.00625317i
\(475\) −0.323079 + 10.3867i −0.0148239 + 0.476573i
\(476\) 15.4663 + 5.02529i 0.708895 + 0.230334i
\(477\) 9.79217 + 15.9573i 0.448353 + 0.730633i
\(478\) −6.24621 8.59717i −0.285695 0.393225i
\(479\) −15.1094 + 10.9776i −0.690366 + 0.501580i −0.876780 0.480891i \(-0.840313\pi\)
0.186415 + 0.982471i \(0.440313\pi\)
\(480\) 13.2595 + 14.7899i 0.605210 + 0.675066i
\(481\) −41.7568 13.5676i −1.90395 0.618630i
\(482\) 10.6595 + 7.74460i 0.485528 + 0.352757i
\(483\) −11.4918 + 1.36374i −0.522895 + 0.0620522i
\(484\) −13.8120 13.1527i −0.627818 0.597851i
\(485\) −5.88265 + 1.81077i −0.267117 + 0.0822229i
\(486\) 0.303324 8.03594i 0.0137590 0.364518i
\(487\) −6.83037 2.21932i −0.309513 0.100567i 0.150142 0.988664i \(-0.452027\pi\)
−0.459655 + 0.888097i \(0.652027\pi\)
\(488\) −4.43570 13.6517i −0.200795 0.617983i
\(489\) −16.7820 18.1435i −0.758909 0.820475i
\(490\) 0.417880 0.556750i 0.0188779 0.0251514i
\(491\) 8.44246 + 25.9832i 0.381003 + 1.17261i 0.939339 + 0.342991i \(0.111440\pi\)
−0.558336 + 0.829615i \(0.688560\pi\)
\(492\) −1.62183 + 8.16665i −0.0731177 + 0.368181i
\(493\) −12.6810 + 17.4539i −0.571124 + 0.786085i
\(494\) −5.48367 −0.246722
\(495\) −15.7747 + 15.6895i −0.709019 + 0.705189i
\(496\) −14.2120 −0.638138
\(497\) −2.34631 + 3.22942i −0.105247 + 0.144859i
\(498\) 2.02476 10.1956i 0.0907315 0.456874i
\(499\) −1.37487 4.23141i −0.0615475 0.189424i 0.915555 0.402193i \(-0.131752\pi\)
−0.977103 + 0.212769i \(0.931752\pi\)
\(500\) −19.3642 0.903857i −0.865995 0.0404217i
\(501\) 15.0153 + 16.2334i 0.670833 + 0.725254i
\(502\) 0.299081 + 0.920477i 0.0133486 + 0.0410829i
\(503\) 17.2838 + 5.61585i 0.770647 + 0.250398i 0.667842 0.744303i \(-0.267218\pi\)
0.102805 + 0.994702i \(0.467218\pi\)
\(504\) 5.58455 13.5059i 0.248756 0.601599i
\(505\) 4.94229 + 16.0560i 0.219929 + 0.714483i
\(506\) 4.19670 + 1.67853i 0.186566 + 0.0746200i
\(507\) 22.6335 2.68593i 1.00519 0.119286i
\(508\) 1.88098 + 1.36661i 0.0834549 + 0.0606335i
\(509\) 12.7774 + 4.15164i 0.566350 + 0.184018i 0.578176 0.815912i \(-0.303765\pi\)
−0.0118265 + 0.999930i \(0.503765\pi\)
\(510\) −5.51683 + 4.94595i −0.244289 + 0.219010i
\(511\) −14.3986 + 10.4612i −0.636956 + 0.462776i
\(512\) −13.0606 17.9763i −0.577201 0.794449i
\(513\) −8.47473 + 6.69366i −0.374168 + 0.295532i
\(514\) −2.32151 0.754304i −0.102397 0.0332709i
\(515\) 30.7345 + 10.5173i 1.35432 + 0.463446i
\(516\) −24.0113 + 2.84943i −1.05704 + 0.125439i
\(517\) 11.7843 + 0.782651i 0.518273 + 0.0344210i
\(518\) 11.2001 0.492106
\(519\) 3.83897 6.85994i 0.168512 0.301118i
\(520\) 0.342488 22.0266i 0.0150191 0.965930i
\(521\) 14.9131 4.84555i 0.653353 0.212287i 0.0364612 0.999335i \(-0.488391\pi\)
0.616892 + 0.787048i \(0.288391\pi\)
\(522\) 6.84990 + 5.84307i 0.299812 + 0.255744i
\(523\) 7.55250 5.48721i 0.330248 0.239939i −0.410288 0.911956i \(-0.634572\pi\)
0.740536 + 0.672017i \(0.234572\pi\)
\(524\) −9.75156 30.0122i −0.425999 1.31109i
\(525\) 8.55325 + 20.1639i 0.373295 + 0.880023i
\(526\) 6.54409 + 4.75456i 0.285336 + 0.207309i
\(527\) 21.3026i 0.927955i
\(528\) 11.0502 8.93801i 0.480896 0.388977i
\(529\) −16.0211 −0.696571
\(530\) −6.81111 2.33074i −0.295856 0.101241i
\(531\) −12.5413 0.979237i −0.544245 0.0424953i
\(532\) −8.66786 + 2.81636i −0.375800 + 0.122105i
\(533\) 11.4719 8.33480i 0.496902 0.361020i
\(534\) 4.03458 3.73184i 0.174593 0.161492i
\(535\) 4.58083 + 6.51564i 0.198047 + 0.281696i
\(536\) −6.66923 + 20.5258i −0.288067 + 0.886578i
\(537\) −9.18798 + 16.4182i −0.396490 + 0.708497i
\(538\) 11.5751 0.499039
\(539\) −1.53773 1.28118i −0.0662348 0.0551842i
\(540\) −12.2395 16.0015i −0.526703 0.688596i
\(541\) 13.0787 18.0013i 0.562297 0.773935i −0.429319 0.903153i \(-0.641247\pi\)
0.991616 + 0.129217i \(0.0412465\pi\)
\(542\) 0.654207 2.01344i 0.0281006 0.0864848i
\(543\) −6.65251 14.4187i −0.285487 0.618766i
\(544\) 15.3871 11.1794i 0.659715 0.479311i
\(545\) 25.7633 34.3250i 1.10358 1.47032i
\(546\) −10.4949 + 4.84216i −0.449142 + 0.207225i
\(547\) −2.56807 + 7.90369i −0.109803 + 0.337937i −0.990828 0.135132i \(-0.956854\pi\)
0.881025 + 0.473070i \(0.156854\pi\)
\(548\) −16.9364 12.3050i −0.723486 0.525644i
\(549\) 5.23237 + 21.7353i 0.223312 + 0.927640i
\(550\) 0.832027 8.51423i 0.0354777 0.363048i
\(551\) 12.0910i 0.515094i
\(552\) −4.30416 + 7.69120i −0.183197 + 0.327359i
\(553\) −3.10998 1.01049i −0.132250 0.0429706i
\(554\) 2.99588 0.973419i 0.127283 0.0413566i
\(555\) 16.6854 28.7571i 0.708257 1.22067i
\(556\) −0.0854261 0.117579i −0.00362287 0.00498646i
\(557\) −2.06055 + 0.669513i −0.0873082 + 0.0283682i −0.352345 0.935870i \(-0.614616\pi\)
0.265037 + 0.964238i \(0.414616\pi\)
\(558\) −8.86314 0.692044i −0.375207 0.0292966i
\(559\) 33.3153 + 24.2050i 1.40909 + 1.02376i
\(560\) −4.11626 13.3725i −0.173944 0.565090i
\(561\) 13.3973 + 16.5632i 0.565635 + 0.699300i
\(562\) 5.25325i 0.221595i
\(563\) 5.59468 7.70042i 0.235788 0.324534i −0.674683 0.738108i \(-0.735720\pi\)
0.910471 + 0.413574i \(0.135720\pi\)
\(564\) −2.08307 + 10.4892i −0.0877129 + 0.441675i
\(565\) 16.3696 11.5087i 0.688676 0.484175i
\(566\) 4.15655 + 5.72100i 0.174713 + 0.240472i
\(567\) −10.3088 + 20.2940i −0.432929 + 0.852268i
\(568\) 0.939465 + 2.89137i 0.0394191 + 0.121319i
\(569\) −10.2068 + 31.4135i −0.427893 + 1.31692i 0.472303 + 0.881436i \(0.343423\pi\)
−0.900196 + 0.435484i \(0.856577\pi\)
\(570\) 0.872071 4.05985i 0.0365270 0.170048i
\(571\) 1.96812i 0.0823632i −0.999152 0.0411816i \(-0.986888\pi\)
0.999152 0.0411816i \(-0.0131122\pi\)
\(572\) −29.3474 1.94910i −1.22708 0.0814962i
\(573\) 0.221911 + 1.86998i 0.00927047 + 0.0781194i
\(574\) −2.12617 + 2.92642i −0.0887447 + 0.122147i
\(575\) −3.68920 12.6831i −0.153850 0.528922i
\(576\) 3.61260 + 5.88707i 0.150525 + 0.245294i
\(577\) −13.2674 18.2610i −0.552330 0.760217i 0.437996 0.898977i \(-0.355688\pi\)
−0.990326 + 0.138760i \(0.955688\pi\)
\(578\) −0.984748 1.35539i −0.0409601 0.0563768i
\(579\) −1.46346 3.17191i −0.0608192 0.131820i
\(580\) 22.5526 + 0.350667i 0.936445 + 0.0145606i
\(581\) −17.2941 + 23.8033i −0.717480 + 0.987527i
\(582\) 2.44238 0.289838i 0.101240 0.0120142i
\(583\) −7.68654 + 19.2180i −0.318344 + 0.795928i
\(584\) 13.5548i 0.560901i
\(585\) −3.20229 + 34.1600i −0.132398 + 1.41234i
\(586\) −4.83595 + 14.8835i −0.199771 + 0.614832i
\(587\) 4.67223 + 14.3796i 0.192844 + 0.593512i 0.999995 + 0.00316706i \(0.00100811\pi\)
−0.807151 + 0.590345i \(0.798992\pi\)
\(588\) 1.33046 1.23063i 0.0548673 0.0507502i
\(589\) 7.01743 + 9.65866i 0.289148 + 0.397978i
\(590\) 3.95687 2.78188i 0.162902 0.114528i
\(591\) −20.9088 4.15231i −0.860071 0.170803i
\(592\) −12.4836 + 17.1822i −0.513073 + 0.706184i
\(593\) 28.2577i 1.16040i 0.814473 + 0.580201i \(0.197026\pi\)
−0.814473 + 0.580201i \(0.802974\pi\)
\(594\) 7.32652 5.03600i 0.300611 0.206630i
\(595\) 20.0442 6.16992i 0.821732 0.252942i
\(596\) 22.2017 + 16.1305i 0.909417 + 0.660730i
\(597\) −0.753572 + 3.79458i −0.0308417 + 0.155302i
\(598\) 6.62908 2.15392i 0.271083 0.0880803i
\(599\) −23.6634 32.5699i −0.966860 1.33077i −0.943617 0.331038i \(-0.892601\pi\)
−0.0232423 0.999730i \(-0.507399\pi\)
\(600\) 16.2530 + 3.75646i 0.663525 + 0.153357i
\(601\) 16.6622 5.41387i 0.679665 0.220837i 0.0512163 0.998688i \(-0.483690\pi\)
0.628449 + 0.777851i \(0.283690\pi\)
\(602\) −9.99068 3.24617i −0.407190 0.132304i
\(603\) 12.8441 31.0626i 0.523053 1.26497i
\(604\) 13.4317i 0.546528i
\(605\) −24.3272 3.63148i −0.989041 0.147641i
\(606\) −0.791079 6.66618i −0.0321354 0.270795i
\(607\) −8.56016 6.21932i −0.347446 0.252434i 0.400351 0.916362i \(-0.368888\pi\)
−0.747797 + 0.663928i \(0.768888\pi\)
\(608\) −3.29388 + 10.1375i −0.133584 + 0.411130i
\(609\) −10.6765 23.1404i −0.432635 0.937697i
\(610\) −6.87506 5.16021i −0.278363 0.208931i
\(611\) 14.7344 10.7052i 0.596090 0.433085i
\(612\) −16.4411 + 10.0890i −0.664590 + 0.407825i
\(613\) 4.52343 13.9217i 0.182699 0.562291i −0.817202 0.576352i \(-0.804476\pi\)
0.999901 + 0.0140608i \(0.00447583\pi\)
\(614\) 2.10212 2.89332i 0.0848345 0.116765i
\(615\) 4.34631 + 9.81872i 0.175260 + 0.395929i
\(616\) 15.6637 3.96361i 0.631108 0.159698i
\(617\) −9.01979 −0.363123 −0.181562 0.983380i \(-0.558115\pi\)
−0.181562 + 0.983380i \(0.558115\pi\)
\(618\) −11.3274 6.33904i −0.455654 0.254994i
\(619\) 2.03021 6.24834i 0.0816009 0.251142i −0.901930 0.431883i \(-0.857849\pi\)
0.983531 + 0.180741i \(0.0578495\pi\)
\(620\) −18.2192 + 12.8090i −0.731702 + 0.514424i
\(621\) 7.61572 11.4206i 0.305608 0.458293i
\(622\) −12.9700 + 9.42326i −0.520050 + 0.377838i
\(623\) −14.7948 + 4.80713i −0.592743 + 0.192594i
\(624\) 4.26920 21.4974i 0.170905 0.860584i
\(625\) −21.0996 + 13.4092i −0.843984 + 0.536368i
\(626\) −14.4389 −0.577096
\(627\) −11.5306 3.09652i −0.460488 0.123663i
\(628\) 8.42992i 0.336390i
\(629\) −25.7547 18.7119i −1.02691 0.746090i
\(630\) −1.91589 8.54001i −0.0763308 0.340242i
\(631\) 5.89065 + 18.1296i 0.234503 + 0.721726i 0.997187 + 0.0749547i \(0.0238812\pi\)
−0.762684 + 0.646771i \(0.776119\pi\)
\(632\) −2.01484 + 1.46387i −0.0801459 + 0.0582294i
\(633\) 14.6975 + 15.8898i 0.584172 + 0.631563i
\(634\) 0.487550 0.158415i 0.0193631 0.00629145i
\(635\) 2.99806 + 0.0466164i 0.118975 + 0.00184992i
\(636\) −16.3551 9.15266i −0.648521 0.362926i
\(637\) −3.08655 −0.122293
\(638\) −0.659621 + 9.93184i −0.0261146 + 0.393205i
\(639\) −1.10819 4.60345i −0.0438395 0.182110i
\(640\) −24.2137 8.28587i −0.957131 0.327528i
\(641\) 16.0126 + 5.20282i 0.632461 + 0.205499i 0.607665 0.794194i \(-0.292106\pi\)
0.0247960 + 0.999693i \(0.492106\pi\)
\(642\) −1.33335 2.88991i −0.0526230 0.114056i
\(643\) 17.4791 + 24.0580i 0.689310 + 0.948754i 0.999998 0.00175788i \(-0.000559551\pi\)
−0.310688 + 0.950512i \(0.600560\pi\)
\(644\) 9.37216 6.80927i 0.369315 0.268323i
\(645\) −23.2184 + 20.8157i −0.914222 + 0.819619i
\(646\) −3.78142 1.22866i −0.148778 0.0483408i
\(647\) 8.05918 + 5.85534i 0.316839 + 0.230197i 0.734826 0.678256i \(-0.237264\pi\)
−0.417986 + 0.908453i \(0.637264\pi\)
\(648\) 7.88936 + 15.4366i 0.309923 + 0.606408i
\(649\) −7.41082 11.7681i −0.290900 0.461937i
\(650\) −7.41875 10.9088i −0.290987 0.427879i
\(651\) 21.9591 + 12.2888i 0.860644 + 0.481635i
\(652\) 23.5299 + 7.64534i 0.921503 + 0.299414i
\(653\) 9.82191 + 30.2287i 0.384361 + 1.18294i 0.936943 + 0.349483i \(0.113643\pi\)
−0.552582 + 0.833459i \(0.686357\pi\)
\(654\) −12.5899 + 11.6451i −0.492302 + 0.455361i
\(655\) −32.5484 24.4299i −1.27177 0.954554i
\(656\) −2.11963 6.52354i −0.0827575 0.254701i
\(657\) 1.64338 21.0471i 0.0641143 0.821125i
\(658\) −2.73084 + 3.75868i −0.106459 + 0.146529i
\(659\) −10.4078 −0.405432 −0.202716 0.979238i \(-0.564977\pi\)
−0.202716 + 0.979238i \(0.564977\pi\)
\(660\) 6.11017 21.4175i 0.237838 0.833675i
\(661\) 11.5700 0.450020 0.225010 0.974356i \(-0.427758\pi\)
0.225010 + 0.974356i \(0.427758\pi\)
\(662\) 2.46539 3.39332i 0.0958202 0.131885i
\(663\) 32.2227 + 6.39917i 1.25143 + 0.248523i
\(664\) 6.92456 + 21.3116i 0.268725 + 0.827051i
\(665\) −7.05563 + 9.40035i −0.273605 + 0.364530i
\(666\) −8.62191 + 10.1076i −0.334092 + 0.391661i
\(667\) 4.74920 + 14.6165i 0.183890 + 0.565955i
\(668\) −21.0528 6.84046i −0.814556 0.264665i
\(669\) 11.5352 20.6125i 0.445977 0.796925i
\(670\) 3.80235 + 12.3527i 0.146897 + 0.477225i
\(671\) −15.8207 + 18.9888i −0.610751 + 0.733054i
\(672\) 2.64757 + 22.3103i 0.102132 + 0.860637i
\(673\) −8.69733 6.31898i −0.335258 0.243579i 0.407401 0.913250i \(-0.366435\pi\)
−0.742658 + 0.669671i \(0.766435\pi\)
\(674\) −0.959261 0.311683i −0.0369494 0.0120056i
\(675\) −24.7812 7.80332i −0.953829 0.300350i
\(676\) −18.4588 + 13.4111i −0.709954 + 0.515812i
\(677\) 15.2989 + 21.0571i 0.587984 + 0.809291i 0.994542 0.104334i \(-0.0332711\pi\)
−0.406558 + 0.913625i \(0.633271\pi\)
\(678\) −7.26050 + 3.34985i −0.278838 + 0.128650i
\(679\) −6.62100 2.15129i −0.254091 0.0825591i
\(680\) 5.17139 15.1123i 0.198314 0.579531i
\(681\) −3.16695 26.6869i −0.121358 1.02264i
\(682\) −5.23736 8.31669i −0.200549 0.318463i
\(683\) −17.5188 −0.670338 −0.335169 0.942158i \(-0.608793\pi\)
−0.335169 + 0.942158i \(0.608793\pi\)
\(684\) 4.13093 9.99036i 0.157950 0.381991i
\(685\) −26.9947 0.419736i −1.03141 0.0160373i
\(686\) 9.43482 3.06556i 0.360223 0.117044i
\(687\) −3.51798 + 3.25400i −0.134219 + 0.124148i
\(688\) 16.1155 11.7086i 0.614398 0.446386i
\(689\) 9.86348 + 30.3567i 0.375769 + 1.15650i
\(690\) 0.540433 + 5.25040i 0.0205739 + 0.199879i
\(691\) −21.4682 15.5976i −0.816689 0.593359i 0.0990734 0.995080i \(-0.468412\pi\)
−0.915762 + 0.401721i \(0.868412\pi\)
\(692\) 7.86936i 0.299148i
\(693\) −24.8022 + 4.25539i −0.942156 + 0.161649i
\(694\) 7.74090 0.293841
\(695\) −0.177334 0.0606834i −0.00672668 0.00230185i
\(696\) −19.0375 3.78069i −0.721615 0.143307i
\(697\) 9.77823 3.17714i 0.370377 0.120343i
\(698\) −1.37422 + 0.998426i −0.0520148 + 0.0377910i
\(699\) −33.2056 35.8994i −1.25595 1.35784i
\(700\) −17.3293 13.4331i −0.654984 0.507722i
\(701\) 11.2974 34.7699i 0.426698 1.31324i −0.474660 0.880169i \(-0.657429\pi\)
0.901359 0.433074i \(-0.142571\pi\)
\(702\) 3.70923 13.1987i 0.139996 0.498152i
\(703\) 17.8412 0.672895
\(704\) −2.83577 + 7.09004i −0.106877 + 0.267216i
\(705\) 5.58238 + 12.6111i 0.210245 + 0.474962i
\(706\) −0.674135 + 0.927867i −0.0253714 + 0.0349207i
\(707\) −5.87171 + 18.0713i −0.220828 + 0.679640i
\(708\) 11.4343 5.27558i 0.429729 0.198268i
\(709\) 22.0323 16.0074i 0.827439 0.601170i −0.0913944 0.995815i \(-0.529132\pi\)
0.918834 + 0.394645i \(0.129132\pi\)
\(710\) 1.45611 + 1.09291i 0.0546468 + 0.0410163i
\(711\) 3.30600 2.02872i 0.123985 0.0760831i
\(712\) −3.66115 + 11.2678i −0.137207 + 0.422280i
\(713\) −12.2770 8.91978i −0.459778 0.334048i
\(714\) −8.32200 + 0.987577i −0.311443 + 0.0369591i
\(715\) −32.4071 + 19.7112i −1.21196 + 0.737157i
\(716\) 18.8341i 0.703862i
\(717\) −31.1354 17.4240i −1.16277 0.650713i
\(718\) 7.52228 + 2.44414i 0.280729 + 0.0912143i
\(719\) 13.5386 4.39895i 0.504904 0.164053i −0.0454795 0.998965i \(-0.514482\pi\)
0.550383 + 0.834912i \(0.314482\pi\)
\(720\) 15.2367 + 6.57946i 0.567838 + 0.245202i
\(721\) 21.5962 + 29.7246i 0.804285 + 1.10700i
\(722\) −7.20262 + 2.34027i −0.268054 + 0.0870959i
\(723\) 43.3909 + 8.61707i 1.61372 + 0.320472i
\(724\) 12.8602 + 9.34350i 0.477947 + 0.347249i
\(725\) 24.0530 16.3577i 0.893306 0.607509i
\(726\) 9.30258 + 3.17261i 0.345251 + 0.117747i
\(727\) 32.9857i 1.22337i −0.791100 0.611687i \(-0.790491\pi\)
0.791100 0.611687i \(-0.209509\pi\)
\(728\) 14.6455 20.1579i 0.542800 0.747100i
\(729\) −10.3786 24.9256i −0.384392 0.923170i
\(730\) 4.66863 + 6.64052i 0.172794 + 0.245777i
\(731\) 17.5502 + 24.1558i 0.649117 + 0.893433i
\(732\) −15.1965 16.4293i −0.561678 0.607244i
\(733\) 10.9875 + 33.8161i 0.405833 + 1.24903i 0.920198 + 0.391454i \(0.128028\pi\)
−0.514365 + 0.857572i \(0.671972\pi\)
\(734\) −3.47211 + 10.6861i −0.128158 + 0.394430i
\(735\) 0.490856 2.28513i 0.0181055 0.0842884i
\(736\) 13.5488i 0.499416i
\(737\) 36.0255 9.11604i 1.32701 0.335794i
\(738\) −1.00422 4.17154i −0.0369658 0.153556i
\(739\) −24.3327 + 33.4911i −0.895094 + 1.23199i 0.0769128 + 0.997038i \(0.475494\pi\)
−0.972007 + 0.234953i \(0.924506\pi\)
\(740\) −0.517437 + 33.2782i −0.0190214 + 1.22333i
\(741\) −16.7179 + 7.71330i −0.614147 + 0.283355i
\(742\) −4.78596 6.58731i −0.175698 0.241828i
\(743\) −3.10761 4.27726i −0.114007 0.156917i 0.748200 0.663473i \(-0.230918\pi\)
−0.862207 + 0.506556i \(0.830918\pi\)
\(744\) 17.4020 8.02894i 0.637988 0.294355i
\(745\) 35.3869 + 0.550226i 1.29648 + 0.0201587i
\(746\) −3.93075 + 5.41021i −0.143915 + 0.198082i
\(747\) −8.16823 33.9309i −0.298860 1.24147i
\(748\) −19.8006 7.91958i −0.723983 0.289568i
\(749\) 9.00866i 0.329169i
\(750\) 9.25619 3.75765i 0.337988 0.137210i
\(751\) −9.54614 + 29.3800i −0.348344 + 1.07209i 0.611426 + 0.791302i \(0.290596\pi\)
−0.959769 + 0.280790i \(0.909404\pi\)
\(752\) −2.72244 8.37880i −0.0992770 0.305543i
\(753\) 2.20654 + 2.38554i 0.0804108 + 0.0869341i
\(754\) 9.02235 + 12.4182i 0.328575 + 0.452244i
\(755\) 9.96251 + 14.1704i 0.362573 + 0.515713i
\(756\) −0.915646 22.7678i −0.0333017 0.828056i
\(757\) 9.35522 12.8764i 0.340021 0.467999i −0.604426 0.796661i \(-0.706598\pi\)
0.944448 + 0.328662i \(0.106598\pi\)
\(758\) 9.41624i 0.342013i
\(759\) 15.1554 0.785762i 0.550105 0.0285213i
\(760\) 2.63352 + 8.55552i 0.0955279 + 0.310341i
\(761\) −40.7087 29.5766i −1.47569 1.07215i −0.978914 0.204274i \(-0.934517\pi\)
−0.496777 0.867878i \(-0.665483\pi\)
\(762\) −1.17520 0.233385i −0.0425731 0.00845466i
\(763\) 46.1671 15.0006i 1.67136 0.543058i
\(764\) −1.10802 1.52506i −0.0400869 0.0551748i
\(765\) −9.86204 + 22.8385i −0.356563 + 0.825728i
\(766\) −17.1149 + 5.56096i −0.618386 + 0.200926i
\(767\) −20.3966 6.62727i −0.736480 0.239297i
\(768\) 1.96416 + 1.09919i 0.0708756 + 0.0396635i
\(769\) 20.8541i 0.752017i −0.926616 0.376009i \(-0.877296\pi\)
0.926616 0.376009i \(-0.122704\pi\)
\(770\) 6.30850 7.33676i 0.227342 0.264398i
\(771\) −8.13851 + 0.965801i −0.293101 + 0.0347825i
\(772\) 2.82907 + 2.05544i 0.101820 + 0.0739768i
\(773\) 5.39506 16.6043i 0.194047 0.597215i −0.805940 0.591998i \(-0.798339\pi\)
0.999986 0.00521701i \(-0.00166063\pi\)
\(774\) 10.6204