Properties

Label 165.2.r.a.29.9
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 29.9
Character \(\chi\) \(=\) 165.29
Dual form 165.2.r.a.74.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.303223 + 0.417350i) q^{2} +(-0.725625 + 1.57273i) q^{3} +(0.535797 + 1.64901i) q^{4} +(-1.78836 - 1.34229i) q^{5} +(-0.436352 - 0.779726i) q^{6} +(0.781546 + 2.40535i) q^{7} +(-1.83193 - 0.595230i) q^{8} +(-1.94694 - 2.28242i) q^{9} +O(q^{10})\) \(q+(-0.303223 + 0.417350i) q^{2} +(-0.725625 + 1.57273i) q^{3} +(0.535797 + 1.64901i) q^{4} +(-1.78836 - 1.34229i) q^{5} +(-0.436352 - 0.779726i) q^{6} +(0.781546 + 2.40535i) q^{7} +(-1.83193 - 0.595230i) q^{8} +(-1.94694 - 2.28242i) 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} +(3.40874 - 1.83861i) q^{15} +(-2.00157 + 1.45422i) q^{16} +(2.17976 + 3.00018i) q^{17} +(1.54292 - 0.120473i) 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} +(2.26543 - 2.44921i) q^{24} +(1.39650 + 4.80102i) q^{25} +(2.50935 - 0.815337i) q^{26} +(5.00237 - 1.40582i) q^{27} +(-3.54770 + 2.57756i) q^{28} +(1.79775 + 5.53289i) q^{29} +(-0.266265 + 1.98015i) q^{30} +(4.64730 + 3.37646i) q^{31} -5.12872i q^{32} +(-5.64713 - 1.05350i) q^{33} -1.91308 q^{34} +(1.83100 - 5.35071i) q^{35} +(2.72058 - 4.43344i) q^{36} +(8.16423 - 2.65272i) q^{37} +(-0.867394 + 0.630199i) q^{38} +(7.73056 - 4.32619i) q^{39} +(2.47719 + 3.52348i) q^{40} +(0.856736 - 2.63676i) q^{41} +(1.53449 - 1.65897i) q^{42} -8.05145 q^{43} +(-4.86611 + 3.06439i) q^{44} +(0.418156 + 6.69516i) q^{45} +(-0.801039 + 1.10254i) q^{46} +(1.10039 - 3.38664i) q^{47} +(-0.834708 - 4.20314i) q^{48} +(0.488224 - 0.354715i) q^{49} +(-2.42716 - 0.872951i) q^{50} +(-6.30014 + 1.25116i) 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} +(-2.44435 + 2.64265i) q^{57} +(-2.85427 - 0.927409i) q^{58} +(-3.98792 + 1.29575i) q^{59} +(4.85828 + 4.63594i) q^{60} +(-4.38022 - 6.02886i) q^{61} +(-2.81833 + 0.915732i) q^{62} +(3.96840 - 6.46688i) q^{63} +(-1.86266 - 1.35330i) q^{64} +(3.36457 + 10.9305i) q^{65} +(2.15202 - 2.03739i) q^{66} +11.2044i q^{67} +(-3.77942 + 5.20193i) q^{68} +(-1.91692 + 4.15476i) q^{69} +(1.67792 + 2.38662i) q^{70} +(-0.927714 - 1.27689i) q^{71} +(2.20809 + 5.34011i) q^{72} +(2.17457 + 6.69263i) q^{73} +(-1.36847 + 4.21171i) q^{74} +(-8.56402 - 1.28744i) 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} +(-1.41887 + 8.88745i) q^{81} +(0.840672 + 1.15709i) q^{82} +(-6.83795 - 9.41163i) q^{83} +(-1.47949 - 7.44991i) 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} +(-2.92102 - 1.85561i) q^{90} +(3.99730 - 12.3024i) q^{91} +(1.41544 + 4.35629i) q^{92} +(-8.68245 + 4.85889i) q^{93} +(1.07975 + 1.48615i) q^{94} +(-2.67283 - 3.80176i) q^{95} +(8.06607 + 3.72153i) q^{96} +(-1.61795 + 2.22691i) q^{97} +0.311318i q^{98} +(5.75458 - 8.11695i) 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 −0.902652 0.430370i \(-0.858383\pi\)
0.688242 + 0.725482i \(0.258383\pi\)
\(3\) −0.725625 + 1.57273i −0.418940 + 0.908014i
\(4\) 0.535797 + 1.64901i 0.267898 + 0.824507i
\(5\) −1.78836 1.34229i −0.799781 0.600292i
\(6\) −0.436352 0.779726i −0.178140 0.318322i
\(7\) 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
\(9\) −1.94694 2.28242i −0.648979 0.760806i
\(10\) 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
\(15\) 3.40874 1.83861i 0.880134 0.474726i
\(16\) −2.00157 + 1.45422i −0.500392 + 0.363556i
\(17\) 2.17976 + 3.00018i 0.528668 + 0.727650i 0.986927 0.161169i \(-0.0515266\pi\)
−0.458258 + 0.888819i \(0.651527\pi\)
\(18\) 1.54292 0.120473i 0.363670 0.0283958i
\(19\) 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 \(-0.411182\pi\)
0.275422 + 0.961323i \(0.411182\pi\)
\(24\) 2.26543 2.44921i 0.462429 0.499943i
\(25\) 1.39650 + 4.80102i 0.279299 + 0.960204i
\(26\) 2.50935 0.815337i 0.492124 0.159901i
\(27\) 5.00237 1.40582i 0.962706 0.270550i
\(28\) −3.54770 + 2.57756i −0.670453 + 0.487113i
\(29\) 1.79775 + 5.53289i 0.333833 + 1.02743i 0.967294 + 0.253658i \(0.0816338\pi\)
−0.633461 + 0.773775i \(0.718366\pi\)
\(30\) −0.266265 + 1.98015i −0.0486132 + 0.361524i
\(31\) 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
\(33\) −5.64713 1.05350i −0.983040 0.183392i
\(34\) −1.91308 −0.328090
\(35\) 1.83100 5.35071i 0.309495 0.904434i
\(36\) 2.72058 4.43344i 0.453429 0.738906i
\(37\) 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
\(39\) 7.73056 4.32619i 1.23788 0.692745i
\(40\) 2.47719 + 3.52348i 0.391677 + 0.557111i
\(41\) 0.856736 2.63676i 0.133800 0.411793i −0.861602 0.507585i \(-0.830538\pi\)
0.995401 + 0.0957919i \(0.0305383\pi\)
\(42\) 1.53449 1.65897i 0.236776 0.255985i
\(43\) −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
\(45\) 0.418156 + 6.69516i 0.0623350 + 0.998055i
\(46\) −0.801039 + 1.10254i −0.118107 + 0.162560i
\(47\) 1.10039 3.38664i 0.160508 0.493993i −0.838169 0.545410i \(-0.816374\pi\)
0.998677 + 0.0514175i \(0.0163739\pi\)
\(48\) −0.834708 4.20314i −0.120480 0.606671i
\(49\) 0.488224 0.354715i 0.0697462 0.0506736i
\(50\) −2.42716 0.872951i −0.343252 0.123454i
\(51\) −6.30014 + 1.25116i −0.882196 + 0.175197i
\(52\) 2.74039 8.43405i 0.380023 1.16959i
\(53\) 5.04886 + 3.66821i 0.693514 + 0.503868i 0.877814 0.479003i \(-0.159002\pi\)
−0.184299 + 0.982870i \(0.559002\pi\)
\(54\) −0.930112 + 2.51401i −0.126572 + 0.342114i
\(55\) 2.86082 6.84220i 0.385753 0.922602i
\(56\) 4.87163i 0.650999i
\(57\) −2.44435 + 2.64265i −0.323762 + 0.350028i
\(58\) −2.85427 0.927409i −0.374784 0.121775i
\(59\) −3.98792 + 1.29575i −0.519183 + 0.168693i −0.556875 0.830597i \(-0.688000\pi\)
0.0376915 + 0.999289i \(0.488000\pi\)
\(60\) 4.85828 + 4.63594i 0.627201 + 0.598497i
\(61\) −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
\(63\) 3.96840 6.46688i 0.499971 0.814750i
\(64\) −1.86266 1.35330i −0.232833 0.169163i
\(65\) 3.36457 + 10.9305i 0.417324 + 1.35576i
\(66\) 2.15202 2.03739i 0.264895 0.250785i
\(67\) 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
\(69\) −1.91692 + 4.15476i −0.230770 + 0.500174i
\(70\) 1.67792 + 2.38662i 0.200550 + 0.285256i
\(71\) −0.927714 1.27689i −0.110099 0.151539i 0.750411 0.660971i \(-0.229855\pi\)
−0.860511 + 0.509432i \(0.829855\pi\)
\(72\) 2.20809 + 5.34011i 0.260226 + 0.629338i
\(73\) 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
\(75\) −8.56402 1.28744i −0.988888 0.148660i
\(76\) 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
\(81\) −1.41887 + 8.88745i −0.157653 + 0.987495i
\(82\) 0.840672 + 1.15709i 0.0928366 + 0.127779i
\(83\) −6.83795 9.41163i −0.750563 1.03306i −0.997941 0.0641418i \(-0.979569\pi\)
0.247378 0.968919i \(-0.420431\pi\)
\(84\) −1.47949 7.44991i −0.161426 0.812852i
\(85\) 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 \(-0.894302\pi\)
0.945373 0.325992i \(-0.105698\pi\)
\(90\) −2.92102 1.85561i −0.307903 0.195598i
\(91\) 3.99730 12.3024i 0.419030 1.28964i
\(92\) 1.41544 + 4.35629i 0.147570 + 0.454174i
\(93\) −8.68245 + 4.85889i −0.900328 + 0.503843i
\(94\) 1.07975 + 1.48615i 0.111368 + 0.153285i
\(95\) −2.67283 3.80176i −0.274227 0.390053i
\(96\) 8.06607 + 3.72153i 0.823240 + 0.379827i
\(97\) −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
\(99\) 5.75458 8.11695i 0.578357 0.815784i
\(100\) −7.16871 + 4.87521i −0.716871 + 0.487521i
\(101\) −6.07810 4.41600i −0.604793 0.439408i 0.242784 0.970080i \(-0.421940\pi\)
−0.847577 + 0.530672i \(0.821940\pi\)
\(102\) 1.38818 3.00874i 0.137450 0.297910i
\(103\) 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
\(105\) 7.08658 + 6.76226i 0.691579 + 0.659929i
\(106\) −3.06186 + 0.994858i −0.297394 + 0.0966291i
\(107\) −3.38762 1.10070i −0.327493 0.106409i 0.140656 0.990059i \(-0.455079\pi\)
−0.468149 + 0.883650i \(0.655079\pi\)
\(108\) 4.99847 + 7.49573i 0.480978 + 0.721277i
\(109\) 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 \(0.238293\pi\)
−0.992772 + 0.120012i \(0.961707\pi\)
\(114\) −0.361727 1.82146i −0.0338789 0.170596i
\(115\) −4.72442 3.54601i −0.440554 0.330667i
\(116\) −8.16059 + 5.92901i −0.757692 + 0.550495i
\(117\) 1.19443 + 15.2972i 0.110425 + 1.41423i
\(118\) 0.668445 2.05726i 0.0615353 0.189386i
\(119\) −5.51290 + 7.58785i −0.505366 + 0.695577i
\(120\) −7.33897 + 1.33921i −0.669954 + 0.122253i
\(121\) −9.67608 + 5.23197i −0.879644 + 0.475633i
\(122\) 3.84433 0.348049
\(123\) 3.52524 + 3.26071i 0.317860 + 0.294009i
\(124\) −3.07782 + 9.47256i −0.276396 + 0.850661i
\(125\) 3.94694 10.4605i 0.353025 0.935614i
\(126\) 1.49565 + 3.61712i 0.133243 + 0.322238i
\(127\) 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
\(129\) 5.84233 12.6627i 0.514389 1.11489i
\(130\) −5.58205 1.91016i −0.489579 0.167532i
\(131\) 18.2001 1.59015 0.795075 0.606511i \(-0.207431\pi\)
0.795075 + 0.606511i \(0.207431\pi\)
\(132\) −1.28847 9.87666i −0.112147 0.859653i
\(133\) 5.25640i 0.455787i
\(134\) −4.67618 3.39744i −0.403960 0.293494i
\(135\) −10.8331 4.20053i −0.932363 0.361524i
\(136\) −2.20737 6.79357i −0.189280 0.582544i
\(137\) 9.76794 7.09682i 0.834531 0.606322i −0.0863064 0.996269i \(-0.527506\pi\)
0.920838 + 0.389946i \(0.127506\pi\)
\(138\) −1.15273 2.05984i −0.0981272 0.175346i
\(139\) −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
\(141\) 4.52779 + 4.18804i 0.381309 + 0.352697i
\(142\) 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
\(147\) 0.203603 + 1.02523i 0.0167929 + 0.0845597i
\(148\) 8.74874 + 12.0416i 0.719142 + 0.989814i
\(149\) −12.8047 + 9.30313i −1.04900 + 0.762142i −0.972022 0.234890i \(-0.924527\pi\)
−0.0769772 + 0.997033i \(0.524527\pi\)
\(150\) 3.13412 3.18382i 0.255900 0.259958i
\(151\) 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
\(156\) 11.2760 + 10.4298i 0.902799 + 0.835055i
\(157\) −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
\(159\) −9.43267 + 5.27873i −0.748060 + 0.418631i
\(160\) −6.88425 + 9.17202i −0.544247 + 0.725112i
\(161\) 2.06465 + 6.35434i 0.162717 + 0.500792i
\(162\) −3.27894 3.28704i −0.257618 0.258255i
\(163\) 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
\(165\) 8.68502 + 9.46416i 0.676128 + 0.736784i
\(166\) 6.00137 0.465796
\(167\) 7.50419 10.3286i 0.580692 0.799254i −0.413079 0.910695i \(-0.635547\pi\)
0.993771 + 0.111441i \(0.0355467\pi\)
\(168\) 7.66175 + 3.53498i 0.591117 + 0.272730i
\(169\) 4.06641 + 12.5151i 0.312800 + 0.962701i
\(170\) 3.42128 + 2.56791i 0.262400 + 0.196950i
\(171\) −2.38248 5.76187i −0.182193 0.440621i
\(172\) −4.31394 13.2769i −0.328935 1.01236i
\(173\) −4.31646 1.40250i −0.328174 0.106630i 0.140296 0.990110i \(-0.455195\pi\)
−0.468470 + 0.883479i \(0.655195\pi\)
\(174\) 3.52969 3.81604i 0.267585 0.289293i
\(175\) −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 0.668488 0.743723i \(-0.266942\pi\)
0.103669 + 0.994612i \(0.466942\pi\)
\(180\) −10.8164 + 4.27679i −0.806204 + 0.318773i
\(181\) 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
\(183\) 12.6601 2.51420i 0.935864 0.185855i
\(184\) −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
\(189\) 7.29106 + 10.9337i 0.530347 + 0.795312i
\(190\) 2.39713 + 0.0372726i 0.173906 + 0.00270404i
\(191\) 1.03400 0.335966i 0.0748173 0.0243096i −0.271369 0.962475i \(-0.587476\pi\)
0.346187 + 0.938166i \(0.387476\pi\)
\(192\) 3.47997 1.94747i 0.251145 0.140546i
\(193\) 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
\(195\) −19.6321 2.63988i −1.40588 0.189045i
\(196\) 0.846519 + 0.615032i 0.0604656 + 0.0439308i
\(197\) 12.3074i 0.876867i 0.898764 + 0.438434i \(0.144467\pi\)
−0.898764 + 0.438434i \(0.855533\pi\)
\(198\) 1.64269 + 4.86292i 0.116741 + 0.345592i
\(199\) −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
\(201\) −17.6215 8.13023i −1.24293 0.573462i
\(202\) 3.68603 1.19767i 0.259348 0.0842674i
\(203\) −11.9035 + 8.64842i −0.835464 + 0.607000i
\(204\) −5.43877 9.71865i −0.380790 0.680442i
\(205\) −5.07147 + 3.56550i −0.354207 + 0.249025i
\(206\) −2.31586 + 7.12748i −0.161354 + 0.496595i
\(207\) −5.14333 6.02959i −0.357486 0.419085i
\(208\) 12.6539 0.877390
\(209\) −0.456795 + 6.87791i −0.0315972 + 0.475755i
\(210\) −4.97104 + 0.907113i −0.343035 + 0.0625968i
\(211\) −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
\(213\) 2.68137 0.532498i 0.183724 0.0364861i
\(214\) 1.48658 1.08006i 0.101621 0.0738317i
\(215\) 14.3989 + 10.8074i 0.981999 + 0.737059i
\(216\) −10.0008 0.402198i −0.680467 0.0273661i
\(217\) −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
\(222\) −5.63087 5.20834i −0.377919 0.349561i
\(223\) 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
\(225\) 8.23905 12.5347i 0.549270 0.835645i
\(226\) −2.71351 3.73483i −0.180500 0.248437i
\(227\) −14.7564 + 4.79464i −0.979416 + 0.318232i −0.754611 0.656172i \(-0.772175\pi\)
−0.224805 + 0.974404i \(0.572175\pi\)
\(228\) −5.66744 2.61485i −0.375335 0.173172i
\(229\) −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
\(231\) −1.87945 14.4067i −0.123658 0.947891i
\(232\) 11.2060i 0.735707i
\(233\) −16.5952 + 22.8414i −1.08719 + 1.49639i −0.235836 + 0.971793i \(0.575783\pi\)
−0.851353 + 0.524594i \(0.824217\pi\)
\(234\) −6.74649 4.13998i −0.441032 0.270639i
\(235\) −6.51376 + 4.57951i −0.424911 + 0.298734i
\(236\) −4.27343 5.88187i −0.278177 0.382877i
\(237\) −1.09364 1.95424i −0.0710394 0.126942i
\(238\) −1.49516 4.60162i −0.0969165 0.298278i
\(239\) −6.36557 + 19.5912i −0.411755 + 1.26725i 0.503367 + 0.864073i \(0.332094\pi\)
−0.915122 + 0.403178i \(0.867906\pi\)
\(240\) −4.14908 + 8.63716i −0.267822 + 0.557527i
\(241\) 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
\(246\) −2.42979 + 0.482536i −0.154918 + 0.0307654i
\(247\) −6.24808 8.59975i −0.397556 0.547189i
\(248\) −6.50376 8.95166i −0.412989 0.568431i
\(249\) 19.7637 3.92491i 1.25247 0.248731i
\(250\) 3.16888 + 4.81911i 0.200418 + 0.304787i
\(251\) 1.10276 1.51782i 0.0696058 0.0958042i −0.772795 0.634656i \(-0.781142\pi\)
0.842401 + 0.538852i \(0.181142\pi\)
\(252\) 12.7902 + 3.07901i 0.805708 + 0.193959i
\(253\) 2.14935 + 8.49398i 0.135129 + 0.534012i
\(254\) 0.691753i 0.0434045i
\(255\) 12.9464 + 6.21912i 0.810733 + 0.389456i
\(256\) −0.401569 + 1.23590i −0.0250981 + 0.0772439i
\(257\) 1.46219 + 4.50015i 0.0912088 + 0.280712i 0.986247 0.165277i \(-0.0528519\pi\)
−0.895038 + 0.445989i \(0.852852\pi\)
\(258\) 3.51326 + 6.27792i 0.218726 + 0.390846i
\(259\) 12.7614 + 17.5646i 0.792957 + 1.09141i
\(260\) −16.2218 + 11.4047i −1.00603 + 0.707292i
\(261\) 9.12829 14.8754i 0.565027 0.920765i
\(262\) −5.51868 + 7.59581i −0.340945 + 0.469271i
\(263\) 15.6801i 0.966876i −0.875379 0.483438i \(-0.839388\pi\)
0.875379 0.483438i \(-0.160612\pi\)
\(264\) 9.71808 + 5.29129i 0.598106 + 0.325657i
\(265\) −4.10539 13.3372i −0.252192 0.819295i
\(266\) −2.19376 1.59386i −0.134508 0.0977257i
\(267\) 9.67353 + 4.46318i 0.592011 + 0.273142i
\(268\) −18.4763 + 6.00331i −1.12862 + 0.366710i
\(269\) −13.1887 18.1527i −0.804128 1.10679i −0.992203 0.124633i \(-0.960225\pi\)
0.188075 0.982155i \(-0.439775\pi\)
\(270\) 5.03793 3.24749i 0.306598 0.197636i
\(271\) 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
\(273\) 16.4478 + 15.2136i 0.995466 + 0.920768i
\(274\) 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
\(279\) −1.34150 17.1808i −0.0803135 1.02859i
\(280\) −6.53916 + 8.71226i −0.390790 + 0.520657i
\(281\) 8.23840 5.98555i 0.491462 0.357068i −0.314284 0.949329i \(-0.601765\pi\)
0.805746 + 0.592261i \(0.201765\pi\)
\(282\) −3.12081 + 0.619767i −0.185841 + 0.0369066i
\(283\) −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
\(285\) 7.91861 1.44498i 0.469058 0.0855934i
\(286\) 4.66317 + 7.40490i 0.275739 + 0.437861i
\(287\) 7.01192 0.413900
\(288\) −11.7059 + 9.98529i −0.689776 + 0.588389i
\(289\) 1.00357 3.08866i 0.0590333 0.181686i
\(290\) 3.85962 + 5.48982i 0.226645 + 0.322373i
\(291\) −2.32830 4.16049i −0.136487 0.243892i
\(292\) −9.87110 + 7.17178i −0.577663 + 0.419697i
\(293\) 28.8511 9.37430i 1.68550 0.547652i 0.699535 0.714599i \(-0.253391\pi\)
0.985966 + 0.166946i \(0.0533907\pi\)
\(294\) −0.489618 0.225900i −0.0285551 0.0131748i
\(295\) 8.87114 + 3.03568i 0.516498 + 0.176744i
\(296\) −16.5353 −0.961094
\(297\) 8.59007 + 14.9402i 0.498447 + 0.866920i
\(298\) 8.16495i 0.472983i
\(299\) −10.9310 7.94187i −0.632159 0.459290i
\(300\) −2.46558 14.8120i −0.142350 0.855171i
\(301\) −6.29257 19.3666i −0.362698 1.11627i
\(302\) −3.23306 + 2.34895i −0.186042 + 0.135167i
\(303\) 11.3556 6.35483i 0.652361 0.365075i
\(304\) −4.89029 + 1.58895i −0.280477 + 0.0911326i
\(305\) −0.259065 + 16.6613i −0.0148340 + 0.954025i
\(306\) 3.72464 + 4.36644i 0.212923 + 0.249613i
\(307\) 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 0.984123 0.177490i \(-0.0567977\pi\)
0.691846 + 0.722045i \(0.256798\pi\)
\(312\) −16.7369 + 3.32382i −0.947542 + 0.188174i
\(313\) −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
\(315\) −15.7774 + 6.23838i −0.888955 + 0.351493i
\(316\) −2.13208 0.692755i −0.119939 0.0389705i
\(317\) −0.803948 0.584102i −0.0451542 0.0328064i 0.564979 0.825105i \(-0.308884\pi\)
−0.610133 + 0.792299i \(0.708884\pi\)
\(318\) 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
\(321\) 4.18925 4.52910i 0.233821 0.252790i
\(322\) −3.27803 1.06510i −0.182678 0.0593556i
\(323\) 2.38170 + 7.33013i 0.132521 + 0.407859i
\(324\) −15.4158 + 2.42213i −0.856431 + 0.134563i
\(325\) 8.65483 24.0639i 0.480084 1.33483i
\(326\) 2.27469 + 7.00077i 0.125983 + 0.387737i
\(327\) 30.1861 + 13.9273i 1.66930 + 0.770180i
\(328\) −3.13896 + 4.32041i −0.173320 + 0.238555i
\(329\) 9.00606 0.496520
\(330\) −6.58337 + 0.754947i −0.362402 + 0.0415585i
\(331\) 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
\(333\) −21.9499 13.4695i −1.20284 0.738125i
\(334\) 2.03522 + 6.26375i 0.111362 + 0.342737i
\(335\) 15.0397 20.0376i 0.821704 1.09477i
\(336\) 9.45765 5.29271i 0.515957 0.288741i
\(337\) −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
\(339\) −11.3787 10.5249i −0.618008 0.571634i
\(340\) 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
\(345\) 9.00506 4.85714i 0.484816 0.261500i
\(346\) 1.89418 1.37620i 0.101832 0.0739852i
\(347\) −8.81998 12.1397i −0.473481 0.651691i 0.503755 0.863847i \(-0.331952\pi\)
−0.977236 + 0.212156i \(0.931952\pi\)
\(348\) −3.40319 17.1366i −0.182430 0.918619i
\(349\) −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 \(-0.481156\pi\)
0.0591654 + 0.998248i \(0.481156\pi\)
\(354\) 2.75047 + 2.54408i 0.146186 + 0.135216i
\(355\) −0.0548689 + 3.52881i −0.00291214 + 0.187290i
\(356\) 10.1428 3.29558i 0.537565 0.174665i
\(357\) −7.93332 14.1762i −0.419876 0.750285i
\(358\) −4.53343 + 3.29373i −0.239599 + 0.174079i
\(359\) −4.73786 14.5816i −0.250055 0.769590i −0.994764 0.102200i \(-0.967412\pi\)
0.744709 0.667389i \(-0.232588\pi\)
\(360\) 3.21913 12.5140i 0.169663 0.659544i
\(361\) −11.8768 8.62899i −0.625094 0.454157i
\(362\) 4.72951i 0.248578i
\(363\) −1.20724 19.0143i −0.0633639 0.997990i
\(364\) 22.4286 1.17558
\(365\) 5.09455 14.8878i 0.266661 0.779261i
\(366\) −2.78954 + 6.04607i −0.145812 + 0.316033i
\(367\) −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
\(369\) −7.68621 + 3.17818i −0.400128 + 0.165449i
\(370\) 8.10067 5.69518i 0.421134 0.296079i
\(371\) −4.87742 + 15.0112i −0.253223 + 0.779340i
\(372\) −12.6644 11.7141i −0.656619 0.607348i
\(373\) −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
\(375\) 13.5875 + 13.7978i 0.701655 + 0.712517i
\(376\) −4.03166 + 5.54911i −0.207917 + 0.286173i
\(377\) 9.19476 28.2986i 0.473554 1.45745i
\(378\) −6.77401 0.272429i −0.348417 0.0140122i
\(379\) 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
\(381\) 0.452408 + 2.27808i 0.0231776 + 0.116710i
\(382\) −0.173316 + 0.533411i −0.00886760 + 0.0272917i
\(383\) 28.2216 + 20.5042i 1.44206 + 1.04772i 0.987607 + 0.156945i \(0.0501645\pi\)
0.454451 + 0.890772i \(0.349836\pi\)
\(384\) −2.33609 + 19.6855i −0.119213 + 1.00457i
\(385\) 18.6937 + 1.53379i 0.952722 + 0.0781692i
\(386\) 1.04042i 0.0529562i
\(387\) 15.6757 + 18.3768i 0.796839 + 0.934144i
\(388\) −4.53910 1.47484i −0.230438 0.0748738i
\(389\) 5.24356 1.70374i 0.265859 0.0863829i −0.173054 0.984912i \(-0.555364\pi\)
0.438913 + 0.898529i \(0.355364\pi\)
\(390\) 7.05464 7.39298i 0.357226 0.374358i
\(391\) 5.75838 + 7.92573i 0.291214 + 0.400821i
\(392\) −1.10553 + 0.359208i −0.0558376 + 0.0181428i
\(393\) −13.2064 + 28.6238i −0.666177 + 1.44388i
\(394\) −5.13650 3.73189i −0.258773 0.188010i
\(395\) 2.76317 0.850546i 0.139030 0.0427956i
\(396\) 16.4682 + 5.14034i 0.827560 + 0.258312i
\(397\) 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
\(399\) −8.26687 3.81417i −0.413861 0.190947i
\(400\) −9.77693 7.57875i −0.488847 0.378937i
\(401\) 13.4903 + 18.5679i 0.673676 + 0.927235i 0.999837 0.0180793i \(-0.00575515\pi\)
−0.326161 + 0.945314i \(0.605755\pi\)
\(402\) 8.73640 4.88908i 0.435732 0.243845i
\(403\) −9.07899 27.9423i −0.452257 1.39190i
\(404\) 4.02541 12.3889i 0.200272 0.616373i
\(405\) 14.4670 13.9895i 0.718873 0.695142i
\(406\) 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
\(411\) 4.07350 + 20.5119i 0.200931 + 1.01178i
\(412\) 14.8055 + 20.3780i 0.729415 + 1.00395i
\(413\) −6.23348 8.57965i −0.306730 0.422177i
\(414\) 4.07602 0.318261i 0.200326 0.0156417i
\(415\) −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 \(-0.868330\pi\)
0.915658 0.401958i \(-0.131670\pi\)
\(420\) −7.35410 + 15.3091i −0.358843 + 0.747006i
\(421\) −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
\(423\) −9.87212 + 4.08203i −0.479999 + 0.198475i
\(424\) −7.06573 9.72514i −0.343142 0.472295i
\(425\) −11.3599 + 14.6548i −0.551036 + 0.710861i
\(426\) −0.590814 + 1.28053i −0.0286250 + 0.0620421i
\(427\) 11.0782 15.2478i 0.536110 0.737892i
\(428\) 6.17598i 0.298527i
\(429\) 20.1996 + 21.3361i 0.975245 + 1.03012i
\(430\) −8.87655 + 2.73234i −0.428065 + 0.131765i
\(431\) −1.30305 0.946719i −0.0627656 0.0456019i 0.555960 0.831209i \(-0.312351\pi\)
−0.618726 + 0.785607i \(0.712351\pi\)
\(432\) −7.96820 + 10.0884i −0.383370 + 0.485378i
\(433\) −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
\(435\) 16.3009 + 15.5549i 0.781567 + 0.745799i
\(436\) 31.6503 10.2838i 1.51578 0.492505i
\(437\) 5.22173 + 1.69664i 0.249789 + 0.0811615i
\(438\) 4.26954 4.61591i 0.204006 0.220556i
\(439\) 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 \(0.373160\pi\)
−0.855647 + 0.517560i \(0.826840\pi\)
\(444\) −25.2865 + 5.02168i −1.20004 + 0.238318i
\(445\) −8.25619 + 10.9999i −0.391381 + 0.521444i
\(446\) −5.69157 + 4.13517i −0.269504 + 0.195806i
\(447\) −5.33990 26.8888i −0.252569 1.27180i
\(448\) 1.79941 5.53802i 0.0850142 0.261647i
\(449\) 11.5568 15.9065i 0.545398 0.750675i −0.443981 0.896036i \(-0.646434\pi\)
0.989379 + 0.145361i \(0.0464343\pi\)
\(450\) 2.73308 + 7.23937i 0.128839 + 0.341267i
\(451\) 9.17499 + 0.609355i 0.432033 + 0.0286934i
\(452\) −15.5163 −0.729825
\(453\) −9.11089 + 9.85001i −0.428067 + 0.462794i
\(454\) 2.47343 7.61243i 0.116084 0.357269i
\(455\) −23.6621 + 16.6357i −1.10929 + 0.779891i
\(456\) 6.05087 3.38620i 0.283358 0.158573i
\(457\) 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
\(459\) 15.1216 + 11.9436i 0.705818 + 0.557481i
\(460\) 3.31609 9.69057i 0.154613 0.451825i
\(461\) 11.6638 0.543237 0.271619 0.962405i \(-0.412441\pi\)
0.271619 + 0.962405i \(0.412441\pi\)
\(462\) 6.58253 + 3.58405i 0.306247 + 0.166745i
\(463\) 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
\(465\) 22.0494 + 2.96493i 1.02252 + 0.137495i
\(466\) −4.50080 13.8520i −0.208495 0.641683i
\(467\) −23.8875 + 17.3553i −1.10538 + 0.803108i −0.981930 0.189243i \(-0.939397\pi\)
−0.123453 + 0.992350i \(0.539397\pi\)
\(468\) −24.5854 + 10.1658i −1.13646 + 0.469916i
\(469\) −26.9506 + 8.75679i −1.24446 + 0.404351i
\(470\) 0.0638611 4.10713i 0.00294569 0.189448i
\(471\) 5.71812 6.18200i 0.263477 0.284852i
\(472\) 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
\(477\) −1.45742 18.6654i −0.0667305 0.854630i
\(478\) −6.24621 8.59717i −0.285695 0.393225i
\(479\) 15.1094 10.9776i 0.690366 0.501580i −0.186415 0.982471i \(-0.559687\pi\)
0.876780 + 0.480891i \(0.159687\pi\)
\(480\) −9.42970 17.4825i −0.430405 0.797963i
\(481\) −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
\(486\) 7.54890 2.77172i 0.342425 0.125728i
\(487\) −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
\(489\) 12.0695 + 21.5673i 0.545803 + 0.975306i
\(490\) 0.417880 0.556750i 0.0188779 0.0251514i
\(491\) −8.44246 25.9832i −0.381003 1.17261i −0.939339 0.342991i \(-0.888560\pi\)
0.558336 0.829615i \(-0.311440\pi\)
\(492\) −3.48815 + 7.56024i −0.157258 + 0.340842i
\(493\) −12.6810 + 17.4539i −0.571124 + 0.786085i
\(494\) 5.48367 0.246722
\(495\) −21.1866 + 6.79173i −0.952267 + 0.305266i
\(496\) −14.2120 −0.638138
\(497\) 2.34631 3.22942i 0.105247 0.144859i
\(498\) −4.35474 + 9.43851i −0.195141 + 0.422950i
\(499\) −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
\(501\) 10.7989 + 19.2968i 0.482459 + 0.862116i
\(502\) 0.299081 + 0.920477i 0.0133486 + 0.0410829i
\(503\) −17.2838 5.61585i −0.770647 0.250398i −0.102805 0.994702i \(-0.532782\pi\)
−0.667842 + 0.744303i \(0.732782\pi\)
\(504\) −11.1191 + 9.48476i −0.495285 + 0.422485i
\(505\) 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 0.0118265 0.999930i \(-0.496235\pi\)
−0.578176 + 0.815912i \(0.696235\pi\)
\(510\) −6.52118 + 3.51739i −0.288763 + 0.155753i
\(511\) −14.3986 + 10.4612i −0.636956 + 0.462776i
\(512\) 13.0606 + 17.9763i 0.577201 + 0.794449i
\(513\) 10.7906 + 0.433964i 0.476418 + 0.0191600i
\(514\) −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
\(519\) 5.33789 5.77092i 0.234307 0.253315i
\(520\) 0.342488 22.0266i 0.0150191 0.965930i
\(521\) −14.9131 + 4.84555i −0.653353 + 0.212287i −0.616892 0.787048i \(-0.711609\pi\)
−0.0364612 + 0.999335i \(0.511609\pi\)
\(522\) 3.44035 + 8.32025i 0.150580 + 0.364168i
\(523\) 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
\(525\) −3.59644 21.6057i −0.156962 0.942949i
\(526\) 6.54409 + 4.75456i 0.285336 + 0.207309i
\(527\) 21.3026i 0.927955i
\(528\) 12.8351 6.10353i 0.558578 0.265622i
\(529\) −16.0211 −0.696571
\(530\) 6.81111 + 2.33074i 0.295856 + 0.101241i
\(531\) 10.7217 + 6.57936i 0.465281 + 0.285520i
\(532\) −8.66786 + 2.81636i −0.375800 + 0.122105i
\(533\) −11.4719 + 8.33480i −0.496902 + 0.361020i
\(534\) −4.79594 + 2.68391i −0.207541 + 0.116144i
\(535\) 4.58083 + 6.51564i 0.198047 + 0.281696i
\(536\) 6.66923 20.5258i 0.288067 0.886578i
\(537\) −12.7754 + 13.8118i −0.551298 + 0.596022i
\(538\) 11.5751 0.499039
\(539\) 1.53773 + 1.28118i 0.0662348 + 0.0551842i
\(540\) 1.12240 20.1145i 0.0483004 0.865591i
\(541\) 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
\(543\) 3.09311 + 15.5752i 0.132738 + 0.668397i
\(544\) 15.3871 11.1794i 0.659715 0.479311i
\(545\) −25.7633 + 34.3250i −1.10358 + 1.47032i
\(546\) −11.3367 + 2.25138i −0.485167 + 0.0963503i
\(547\) −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
\(552\) 5.98470 6.47021i 0.254726 0.275391i
\(553\) −3.10998 1.01049i −0.132250 0.0429706i
\(554\) −2.99588 + 0.973419i −0.127283 + 0.0413566i
\(555\) 22.9525 24.0532i 0.974277 1.02100i
\(556\) −0.0854261 0.117579i −0.00362287 0.00498646i
\(557\) 2.06055 0.669513i 0.0873082 0.0283682i −0.265037 0.964238i \(-0.585384\pi\)
0.352345 + 0.935870i \(0.385384\pi\)
\(558\) 7.57720 + 4.64975i 0.320769 + 0.196839i
\(559\) 33.3153 + 24.2050i 1.40909 + 1.02376i
\(560\) 4.11626 + 13.3725i 0.173944 + 0.565090i
\(561\) −9.14867 19.2388i −0.386257 0.812262i
\(562\) 5.25325i 0.221595i
\(563\) −5.59468 + 7.70042i −0.235788 + 0.324534i −0.910471 0.413574i \(-0.864280\pi\)
0.674683 + 0.738108i \(0.264280\pi\)
\(564\) −4.48015 + 9.71033i −0.188649 + 0.408879i
\(565\) 16.3696 11.5087i 0.688676 0.484175i
\(566\) −4.15655 5.72100i −0.174713 0.240472i
\(567\) −22.4863 + 3.53306i −0.944338 + 0.148375i
\(568\) 0.939465 + 2.89137i 0.0394191 + 0.121319i
\(569\) 10.2068 31.4135i 0.427893 1.31692i −0.472303 0.881436i \(-0.656577\pi\)
0.900196 0.435484i \(-0.143423\pi\)
\(570\) −1.79804 + 3.74298i −0.0753115 + 0.156776i
\(571\) 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
\(576\) 0.537680 + 6.88617i 0.0224033 + 0.286924i
\(577\) −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
\(579\) 0.680441 + 3.42633i 0.0282782 + 0.142393i
\(580\) 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
\(585\) 18.3973 28.9603i 0.760636 1.19736i
\(586\) −4.83595 + 14.8835i −0.199771 + 0.614832i
\(587\) −4.67223 14.3796i −0.192844 0.593512i −0.999995 0.00316706i \(-0.998992\pi\)
0.807151 0.590345i \(-0.201008\pi\)
\(588\) −1.58153 + 0.885060i −0.0652213 + 0.0364993i
\(589\) 7.01743 + 9.65866i 0.289148 + 0.397978i
\(590\) −3.95687 + 2.78188i −0.162902 + 0.114528i
\(591\) −19.3562 8.93057i −0.796208 0.367355i
\(592\) −12.4836 + 17.1822i −0.513073 + 0.706184i
\(593\) 28.2577i 1.16040i −0.814473 0.580201i \(-0.802974\pi\)
0.814473 0.580201i \(-0.197026\pi\)
\(594\) −8.84001 0.945149i −0.362710 0.0387799i
\(595\) 20.0442 6.16992i 0.821732 0.252942i
\(596\) −22.2017 16.1305i −0.909417 0.660730i
\(597\) 1.62074 3.51282i 0.0663327 0.143770i
\(598\) 6.62908 2.15392i 0.271083 0.0880803i
\(599\) 23.6634 + 32.5699i 0.966860 + 1.33077i 0.943617 + 0.331038i \(0.107399\pi\)
0.0232423 + 0.999730i \(0.492601\pi\)
\(600\) 14.9224 + 7.45606i 0.609203 + 0.304392i
\(601\) 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
\(603\) 25.5732 21.8143i 1.04142 0.888349i
\(604\) 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
\(609\) −4.96410 24.9965i −0.201155 1.01291i
\(610\) −6.87506 5.16021i −0.278363 0.208931i
\(611\) −14.7344 + 10.7052i −0.596090 + 0.433085i
\(612\) 19.2313 1.50160i 0.777379 0.0606986i
\(613\) 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
\(615\) −1.92758 10.5632i −0.0777274 0.425951i
\(616\) 15.6637 3.96361i 0.631108 0.159698i
\(617\) 9.01979 0.363123 0.181562 0.983380i \(-0.441885\pi\)
0.181562 + 0.983380i \(0.441885\pi\)
\(618\) −9.52914 8.81410i −0.383318 0.354555i
\(619\) 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
\(621\) 13.2150 3.71383i 0.530300 0.149031i
\(622\) −12.9700 + 9.42326i −0.520050 + 0.377838i
\(623\) 14.7948 4.80713i 0.592743 0.192594i
\(624\) −9.18198 + 19.9011i −0.367574 + 0.796682i
\(625\) −21.0996 + 13.4092i −0.843984 + 0.536368i
\(626\) 14.4389 0.577096
\(627\) −10.4856 5.70920i −0.418755 0.228003i
\(628\) 8.42992i 0.336390i
\(629\) 25.7547 + 18.7119i 1.02691 + 0.746090i
\(630\) 2.18047 8.47632i 0.0868721 0.337704i
\(631\) 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
\(633\) −10.5703 18.8883i −0.420133 0.750744i
\(634\) 0.487550 0.158415i 0.0193631 0.00629145i
\(635\) −2.99806 0.0466164i −0.118975 0.00184992i
\(636\) −13.7587 12.7263i −0.545568 0.504630i
\(637\) −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 −0.0247960 0.999693i \(-0.507894\pi\)
−0.607665 + 0.794194i \(0.707894\pi\)
\(642\) 0.619946 + 3.12171i 0.0244673 + 0.123204i
\(643\) 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
\(645\) −27.4453 + 14.8034i −1.08066 + 0.582885i
\(646\) −3.78142 1.22866i −0.148778 0.0483408i
\(647\) −8.05918 5.85534i −0.316839 0.230197i 0.417986 0.908453i \(-0.362736\pi\)
−0.734826 + 0.678256i \(0.762736\pi\)
\(648\) 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
\(651\) −18.4731 17.0869i −0.724016 0.669688i
\(652\) 23.5299 + 7.64534i 0.921503 + 0.299414i
\(653\) −9.82191 30.2287i −0.384361 1.18294i −0.936943 0.349483i \(-0.886357\pi\)
0.552582 0.833459i \(-0.313643\pi\)
\(654\) −14.9657 + 8.37511i −0.585204 + 0.327493i
\(655\) −32.5484 24.4299i −1.27177 0.954554i
\(656\) 2.11963 + 6.52354i 0.0827575 + 0.254701i
\(657\) 11.0416 17.9934i 0.430775 0.701989i
\(658\) −2.73084 + 3.75868i −0.106459 + 0.146529i
\(659\) 10.4078 0.405432 0.202716 0.979238i \(-0.435023\pi\)
0.202716 + 0.979238i \(0.435023\pi\)
\(660\) −10.9531 + 19.3926i −0.426350 + 0.754855i
\(661\) 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
\(663\) 29.8301 + 13.7630i 1.15850 + 0.534511i
\(664\) 6.92456 + 21.3116i 0.268725 + 0.827051i
\(665\) 7.05563 9.40035i 0.273605 0.364530i
\(666\) 12.2772 5.07651i 0.475732 0.196711i
\(667\) 4.74920 + 14.6165i 0.183890 + 0.565955i
\(668\) 21.0528 + 6.84046i 0.814556 + 0.264665i
\(669\) −16.0391 + 17.3402i −0.620106 + 0.670412i
\(670\) 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
\(675\) 13.7351 + 22.0532i 0.528666 + 0.848830i
\(676\) −18.4588 + 13.4111i −0.709954 + 0.515812i
\(677\) −15.2989 21.0571i −0.587984 0.809291i 0.406558 0.913625i \(-0.366729\pi\)
−0.994542 + 0.104334i \(0.966729\pi\)
\(678\) 7.84286 1.55753i 0.301203 0.0598165i
\(679\) −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 \(-0.391207\pi\)
0.335169 + 0.942158i \(0.391207\pi\)
\(684\) 8.22487 7.01594i 0.314486 0.268261i
\(685\) −26.9947 0.419736i −1.03141 0.0160373i
\(686\) −9.43482 + 3.06556i −0.360223 + 0.117044i
\(687\) 4.18185 2.34026i 0.159548 0.0892864i
\(688\) 16.1155 11.7086i 0.614398 0.446386i
\(689\) −9.86348 30.3567i −0.375769 1.15650i
\(690\) −0.703407 + 5.23106i −0.0267783 + 0.199143i
\(691\) −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
\(693\) 24.0216 + 7.49801i 0.912504 + 0.284826i
\(694\) 7.74090 0.293841
\(695\) 0.177334 + 0.0606834i 0.00672668 + 0.00230185i
\(696\) 17.6239 + 8.13132i 0.668032 + 0.308217i
\(697\) 9.77823 3.17714i 0.370377 0.120343i
\(698\) 1.37422 0.998426i 0.0520148 0.0377910i
\(699\) −23.8813 42.6740i −0.903274 1.61408i
\(700\) −17.3293 13.4331i −0.654984 0.507722i
\(701\) −11.2974 + 34.7699i −0.426698 + 1.31324i 0.474660 + 0.880169i \(0.342571\pi\)
−0.901359 + 0.433074i \(0.857429\pi\)
\(702\) 11.4065 7.60631i 0.430510 0.287082i
\(703\) 17.8412 0.672895
\(704\) 2.83577 7.09004i 0.106877 0.267216i
\(705\) −2.47577 13.5674i −0.0932428 0.510977i
\(706\) −0.674135 + 0.927867i −0.0253714 + 0.0349207i
\(707\) 5.87171 18.0713i 0.220828 0.679640i
\(708\) 12.3515 2.45290i 0.464197 0.0921858i
\(709\) 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
\(711\) 3.86706 0.301945i 0.145026 0.0113238i
\(712\) −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
\(717\) −26.1926 24.2272i −0.978181 0.904781i
\(718\) 7.52228 + 2.44414i 0.280729 + 0.0912143i
\(719\) −13.5386 + 4.39895i −0.504904 + 0.164053i −0.550383 0.834912i \(-0.685518\pi\)
0.0454795 + 0.998965i \(0.485518\pi\)
\(720\) −10.5732 12.7927i −0.394041 0.476756i
\(721\) 21.5962 + 29.7246i 0.804285 + 1.10700i
\(722\) 7.20262 2.34027i 0.268054 0.0870959i
\(723\) −40.1690 18.5332i −1.49390 0.689256i
\(724\) 12.8602 + 9.34350i 0.477947 + 0.347249i
\(725\) −24.0530 + 16.3577i −0.893306 + 0.607509i
\(726\) 8.30167 + 5.26171i 0.308104 + 0.195281i
\(727\) 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
\(729\) 23.0473 14.0648i 0.853605 0.520920i
\(730\) 4.66863 + 6.64052i 0.172794 + 0.245777i
\(731\) −17.5502 24.1558i −0.649117 0.893433i
\(732\) 10.9292 + 19.5296i 0.403955 + 0.721836i
\(733\) 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
\(735\) 1.01205 2.10678i 0.0373299 0.0777099i
\(736\) 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
\(741\) 18.0588 3.58633i 0.663407 0.131747i
\(742\) −4.78596 6.58731i −0.175698 0.241828i
\(743\) 3.10761 + 4.27726i 0.114007 + 0.156917i 0.862207 0.506556i \(-0.169082\pi\)
−0.748200 + 0.663473i \(0.769082\pi\)
\(744\) 18.7978 3.73309i 0.689161 0.136862i
\(745\) 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
\(750\) −9.87856 + 1.48692i −0.360714 + 0.0542947i
\(751\) −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
\(753\) 1.58693 + 2.83572i 0.0578309 + 0.103339i
\(754\) 9.02235 + 12.4182i 0.328575 + 0.452244i
\(755\) −9.96251 14.1704i −0.362573 0.515713i
\(756\) −14.1233 + 17.8813i −0.513661 + 0.650337i
\(757\) 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
\(759\) −14.9183 2.78310i −0.541501 0.101020i
\(760\) 2.63352 + 8.55552i 0.0955279 + 0.310341i
\(761\) 40.7087 + 29.5766i 1.47569 + 1.07215i 0.978914 + 0.204274i \(0.0654832\pi\)
0.496777 + 0.867878i \(0.334517\pi\)
\(762\) −1.08794 0.501953i −0.0394119 0.0181839i
\(763\) 46.1671 15.0006i 1.67136 0.543058i
\(764\) 1.10802 + 1.52506i 0.0400869 + 0.0551748i
\(765\) −19.1752 + 15.8484i −0.693280 + 0.572998i
\(766\) −17.1149 + 5.56096i −0.618386 + 0.200926i
\(767\) 20.3966 + 6.62727i 0.736480 + 0.239297i
\(768\) −1.65235 1.52836i −0.0596240 0.0551500i
\(769\) 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 \(0.201661\pi\)
−0.999986 + 0.00521701i \(0.998339\pi\)
\(774\) −12.4228 + 0.969984i −0.446527