Properties

Label 165.2.r.a.29.12
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 29.12
Character \(\chi\) \(=\) 165.29
Dual form 165.2.r.a.74.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.303223 - 0.417350i) q^{2} +(0.725625 - 1.57273i) q^{3} +(0.535797 + 1.64901i) q^{4} +(-0.723962 - 2.11563i) q^{5} +(-0.436352 - 0.779726i) q^{6} +(-0.781546 - 2.40535i) q^{7} +(1.83193 + 0.595230i) q^{8} +(-1.94694 - 2.28242i) q^{9} +O(q^{10})\) \(q+(0.303223 - 0.417350i) q^{2} +(0.725625 - 1.57273i) q^{3} +(0.535797 + 1.64901i) q^{4} +(-0.723962 - 2.11563i) 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} +(-3.85263 - 0.396558i) 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} +(3.10080 - 2.32737i) q^{20} +(-4.35007 - 0.516225i) q^{21} +(1.58860 + 0.635387i) q^{22} -2.64175 q^{23} +(2.26543 - 2.44921i) q^{24} +(-3.95176 + 3.06327i) 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} +(-1.33371 + 1.48765i) q^{30} +(4.64730 + 3.37646i) q^{31} +5.12872i q^{32} +(5.64713 + 1.05350i) q^{33} -1.91308 q^{34} +(-4.52301 + 3.39484i) 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} +(-0.0669628 - 4.30661i) q^{40} +(0.856736 - 2.63676i) q^{41} +(-1.53449 + 1.65897i) 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} +(0.834708 + 4.20314i) q^{48} +(0.488224 - 0.354715i) q^{49} +(0.0801929 + 2.57812i) 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} +(6.21332 - 4.04904i) q^{55} -4.87163i q^{56} +(2.44435 - 2.64265i) q^{57} +(2.85427 + 0.927409i) q^{58} +(-3.98792 + 1.29575i) q^{59} +(-1.41030 - 6.56551i) 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} +(0.0453571 + 2.91707i) 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} +(1.95019 + 8.43782i) q^{75} +3.60358i q^{76} +(7.09801 - 4.46990i) q^{77} +(0.538545 - 4.53815i) q^{78} +(-0.759973 + 1.04601i) q^{79} +(4.52565 + 3.18177i) 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} +(-4.76919 + 6.78356i) q^{85} +(2.44138 - 3.36027i) q^{86} +(10.0062 + 1.18744i) q^{87} +(-0.423358 + 6.37446i) q^{88} -6.15081i q^{89} +(1.37189 + 3.17703i) 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} +(-0.0722515 - 4.64674i) 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 −0.688242 0.725482i \(-0.741617\pi\)
0.902652 + 0.430370i \(0.141617\pi\)
\(3\) 0.725625 1.57273i 0.418940 0.908014i
\(4\) 0.535797 + 1.64901i 0.267898 + 0.824507i
\(5\) −0.723962 2.11563i −0.323766 0.946137i
\(6\) −0.436352 0.779726i −0.178140 0.318322i
\(7\) −0.781546 2.40535i −0.295396 0.909137i −0.983088 0.183134i \(-0.941376\pi\)
0.687692 0.726003i \(-0.258624\pi\)
\(8\) 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 0.988163 0.153411i \(-0.0490257\pi\)
0.159457 + 0.987205i \(0.449026\pi\)
\(14\) −1.24086 0.403178i −0.331633 0.107754i
\(15\) −3.85263 0.396558i −0.994744 0.102391i
\(16\) −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 \(0.948473\pi\)
\(18\) −1.54292 + 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 \(0.523377\pi\)
\(20\) 3.10080 2.32737i 0.693360 0.520416i
\(21\) −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 \(0.588818\pi\)
\(24\) 2.26543 2.44921i 0.462429 0.499943i
\(25\) −3.95176 + 3.06327i −0.790352 + 0.612654i
\(26\) 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 \(0.718366\pi\)
\(30\) −1.33371 + 1.48765i −0.243501 + 0.271606i
\(31\) 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
\(35\) −4.52301 + 3.39484i −0.764529 + 0.573833i
\(36\) 2.72058 4.43344i 0.453429 0.738906i
\(37\) −8.16423 + 2.65272i −1.34219 + 0.436104i −0.890059 0.455846i \(-0.849337\pi\)
−0.452133 + 0.891951i \(0.649337\pi\)
\(38\) 0.867394 0.630199i 0.140710 0.102232i
\(39\) 7.73056 4.32619i 1.23788 0.692745i
\(40\) −0.0669628 4.30661i −0.0105877 0.680934i
\(41\) 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 \(-0.289593\pi\)
0.613917 + 0.789370i \(0.289593\pi\)
\(44\) −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 \(0.183626\pi\)
\(48\) 0.834708 + 4.20314i 0.120480 + 0.606671i
\(49\) 0.488224 0.354715i 0.0697462 0.0506736i
\(50\) 0.0801929 + 2.57812i 0.0113410 + 0.364601i
\(51\) −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 0.184299 0.982870i \(-0.440998\pi\)
−0.877814 + 0.479003i \(0.840998\pi\)
\(54\) −0.930112 + 2.51401i −0.126572 + 0.342114i
\(55\) 6.21332 4.04904i 0.837803 0.545972i
\(56\) 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 \(0.488000\pi\)
\(60\) −1.41030 6.56551i −0.182069 0.847603i
\(61\) −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 \(-0.760055\pi\)
0.729087 0.684421i \(-0.239945\pi\)
\(68\) 3.77942 5.20193i 0.458322 0.630827i
\(69\) −1.91692 + 4.15476i −0.230770 + 0.500174i
\(70\) 0.0453571 + 2.91707i 0.00542121 + 0.348657i
\(71\) −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 \(-0.964896\pi\)
0.739411 0.673254i \(-0.235104\pi\)
\(74\) −1.36847 + 4.21171i −0.159081 + 0.489601i
\(75\) 1.95019 + 8.43782i 0.225188 + 0.974315i
\(76\) 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 \(0.223172\pi\)
\(80\) 4.52565 + 3.18177i 0.505983 + 0.355732i
\(81\) −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 \(0.0204310\pi\)
−0.247378 + 0.968919i \(0.579569\pi\)
\(84\) −1.47949 7.44991i −0.161426 0.812852i
\(85\) −4.76919 + 6.78356i −0.517292 + 0.735781i
\(86\) 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 \(-0.105698\pi\)
\(90\) 1.37189 + 3.17703i 0.144610 + 0.334889i
\(91\) 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
\(95\) −0.0722515 4.64674i −0.00741284 0.476746i
\(96\) 8.06607 + 3.72153i 0.823240 + 0.379827i
\(97\) 1.61795 2.22691i 0.164278 0.226109i −0.718940 0.695072i \(-0.755372\pi\)
0.883218 + 0.468963i \(0.155372\pi\)
\(98\) 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 −0.896499 0.443046i \(-0.853898\pi\)
−0.464867 + 0.885381i \(0.653898\pi\)
\(104\) 5.79073 + 7.97026i 0.567828 + 0.781548i
\(105\) 2.05714 + 9.57685i 0.200757 + 0.934605i
\(106\) −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 \(0.544921\pi\)
\(108\) −4.99847 7.49573i −0.480978 0.721277i
\(109\) 19.1935i 1.83840i −0.393787 0.919202i \(-0.628835\pi\)
0.393787 0.919202i \(-0.371165\pi\)
\(110\) 0.194153 3.82089i 0.0185117 0.364307i
\(111\) −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 \(-0.0382932\pi\)
\(114\) −0.361727 1.82146i −0.0338789 0.170596i
\(115\) 1.91253 + 5.58897i 0.178344 + 0.521174i
\(116\) −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
\(120\) −6.82170 3.01967i −0.622733 0.275657i
\(121\) −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
\(125\) 9.34166 + 6.14276i 0.835543 + 0.549425i
\(126\) 1.49565 + 3.61712i 0.133243 + 0.322238i
\(127\) −1.08484 + 0.788183i −0.0962640 + 0.0699399i −0.634876 0.772614i \(-0.718949\pi\)
0.538612 + 0.842554i \(0.318949\pi\)
\(128\) −10.8850 + 3.53675i −0.962108 + 0.312608i
\(129\) 5.84233 12.6627i 0.514389 1.11489i
\(130\) −3.54162 4.71858i −0.310621 0.413846i
\(131\) 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
\(135\) 6.59571 + 9.56538i 0.567669 + 0.823257i
\(136\) −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 \(0.472494\pi\)
\(138\) 1.15273 + 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 \(0.401132\pi\)
\(140\) −8.02155 5.63957i −0.677945 0.476630i
\(141\) 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
\(145\) 10.4040 7.80897i 0.864009 0.648499i
\(146\) −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 \(0.524527\pi\)
\(150\) 4.11287 + 1.74463i 0.335814 + 0.142448i
\(151\) 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 0.487661 0.873033i \(-0.337850\pi\)
−0.118630 + 0.992938i \(0.537850\pi\)
\(158\) 0.206113 + 0.634350i 0.0163975 + 0.0504662i
\(159\) −9.43267 + 5.27873i −0.748060 + 0.418631i
\(160\) 10.8505 3.71300i 0.857804 0.293538i
\(161\) 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 −0.999375 0.0353479i \(-0.988746\pi\)
0.342442 + 0.939539i \(0.388746\pi\)
\(164\) 4.80709 0.375371
\(165\) −1.85949 12.7099i −0.144761 0.989467i
\(166\) 6.00137 0.465796
\(167\) −7.50419 + 10.3286i −0.580692 + 0.799254i −0.993771 0.111441i \(-0.964453\pi\)
0.413079 + 0.910695i \(0.364453\pi\)
\(168\) −7.66175 3.53498i −0.591117 0.272730i
\(169\) 4.06641 + 12.5151i 0.312800 + 0.962701i
\(170\) 1.38499 + 4.04735i 0.106224 + 0.310418i
\(171\) −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 0.468470 0.883479i \(-0.344805\pi\)
−0.140296 + 0.990110i \(0.544805\pi\)
\(174\) 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 \(0.466942\pi\)
\(180\) −11.3491 2.54609i −0.845912 0.189774i
\(181\) 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
\(185\) 11.5228 + 15.3520i 0.847170 + 1.12870i
\(186\) 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
\(190\) −1.96123 1.37884i −0.142282 0.100032i
\(191\) 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 −0.644959 0.764217i \(-0.723126\pi\)
0.527511 + 0.849548i \(0.323126\pi\)
\(194\) −0.438804 1.35050i −0.0315043 0.0969603i
\(195\) −14.7492 13.2230i −1.05622 0.946918i
\(196\) 0.846519 + 0.615032i 0.0604656 + 0.0439308i
\(197\) 12.3074i 0.876867i −0.898764 0.438434i \(-0.855533\pi\)
0.898764 0.438434i \(-0.144467\pi\)
\(198\) −1.64269 4.86292i −0.116741 0.345592i
\(199\) −2.23358 −0.158335 −0.0791673 0.996861i \(-0.525226\pi\)
−0.0791673 + 0.996861i \(0.525226\pi\)
\(200\) −9.06270 + 3.25949i −0.640829 + 0.230481i
\(201\) −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
\(205\) −6.19865 + 0.0963819i −0.432933 + 0.00673160i
\(206\) −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
\(210\) 4.62067 + 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
\(213\) −2.68137 + 0.532498i −0.183724 + 0.0364861i
\(214\) 1.48658 1.08006i 0.101621 0.0738317i
\(215\) −5.82894 17.0339i −0.397531 1.16170i
\(216\) −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
\(220\) 10.0060 + 8.07638i 0.674604 + 0.544509i
\(221\) 18.9671i 1.27587i
\(222\) 5.63087 + 5.20834i 0.377919 + 0.349561i
\(223\) −12.9699 4.21419i −0.868531 0.282203i −0.159344 0.987223i \(-0.550938\pi\)
−0.709187 + 0.705020i \(0.750938\pi\)
\(224\) 12.3364 4.00833i 0.824258 0.267818i
\(225\) 14.6855 + 3.05558i 0.979032 + 0.203705i
\(226\) −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 \(0.227825\pi\)
\(228\) 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 \(-0.424217\pi\)
0.851353 0.524594i \(-0.175783\pi\)
\(234\) −6.74649 4.13998i −0.441032 0.270639i
\(235\) 7.96151 0.123792i 0.519352 0.00807532i
\(236\) −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 \(0.867906\pi\)
\(240\) 8.28797 4.80884i 0.534986 0.310410i
\(241\) 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
\(245\) −1.10390 0.776099i −0.0705256 0.0495831i
\(246\) −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
\(250\) 5.39628 2.03612i 0.341291 0.128775i
\(251\) 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
\(255\) 7.20804 + 12.4230i 0.451385 + 0.777956i
\(256\) −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 \(0.947148\pi\)
\(258\) −3.51326 6.27792i −0.218726 0.390846i
\(259\) 12.7614 + 17.5646i 0.792957 + 1.09141i
\(260\) 19.8272 0.308291i 1.22963 0.0191194i
\(261\) 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 \(0.160612\pi\)
−0.875379 + 0.483438i \(0.839388\pi\)
\(264\) 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 \(-0.439775\pi\)
\(270\) 5.99208 + 0.147720i 0.364667 + 0.00898993i
\(271\) 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
\(275\) −13.0645 10.2137i −0.787816 0.615910i
\(276\) −7.87833 0.934925i −0.474220 0.0562759i
\(277\) −4.94006 3.58916i −0.296819 0.215652i 0.429401 0.903114i \(-0.358725\pi\)
−0.726220 + 0.687462i \(0.758725\pi\)
\(278\) −0.0133622 + 0.0411247i −0.000801414 + 0.00246650i
\(279\) −1.34150 17.1808i −0.0803135 1.02859i
\(280\) −10.3066 + 3.52688i −0.615935 + 0.210771i
\(281\) 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 \(-0.766427\pi\)
0.994443 0.105279i \(-0.0335735\pi\)
\(284\) 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
\(288\) 11.7059 9.98529i 0.689776 0.588389i
\(289\) 1.00357 3.08866i 0.0590333 0.181686i
\(290\) −0.104332 6.70998i −0.00612661 0.394024i
\(291\) −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 −0.985966 0.166946i \(-0.946609\pi\)
−0.699535 + 0.714599i \(0.746609\pi\)
\(294\) −0.489618 0.225900i −0.0285551 0.0131748i
\(295\) 5.62844 + 7.49888i 0.327700 + 0.436602i
\(296\) −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
\(300\) −12.8692 + 7.73684i −0.743002 + 0.446687i
\(301\) −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
\(305\) −9.58370 + 13.6316i −0.548761 + 0.780542i
\(306\) 3.72464 + 4.36644i 0.212923 + 0.249613i
\(307\) −6.93259 −0.395664 −0.197832 0.980236i \(-0.563390\pi\)
−0.197832 + 0.980236i \(0.563390\pi\)
\(308\) 11.1740 + 9.30975i 0.636699 + 0.530472i
\(309\) −2.96520 + 24.9868i −0.168684 + 1.42145i
\(310\) −3.97772 5.29959i −0.225919 0.300996i
\(311\) 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 \(0.0904519\pi\)
−0.0299919 + 0.999550i \(0.509548\pi\)
\(314\) 2.02911 1.47424i 0.114509 0.0831960i
\(315\) 16.5545 + 3.71387i 0.932739 + 0.209253i
\(316\) −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
\(321\) 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
\(325\) −25.5607 + 0.795069i −1.41785 + 0.0441025i
\(326\) 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
\(330\) −5.86833 3.07788i −0.323041 0.169432i
\(331\) 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
\(335\) −23.7044 + 8.11159i −1.29511 + 0.443184i
\(336\) 9.45765 5.29271i 0.515957 0.288741i
\(337\) 0.604185 + 1.85949i 0.0329121 + 0.101293i 0.966163 0.257932i \(-0.0830411\pi\)
−0.933251 + 0.359225i \(0.883041\pi\)
\(338\) 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
\(345\) 10.1777 + 1.04761i 0.547949 + 0.0564013i
\(346\) 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 \(0.668048\pi\)
\(348\) 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 \(0.628088\pi\)
\(350\) 6.13860 2.20781i 0.328122 0.118012i
\(351\) −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 \(0.518844\pi\)
\(354\) 2.75047 + 2.54408i 0.146186 + 0.135216i
\(355\) −2.02979 + 2.88712i −0.107730 + 0.153232i
\(356\) 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 \(-0.232588\pi\)
\(360\) −9.69911 + 8.53753i −0.511188 + 0.449967i
\(361\) −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
\(365\) −12.5848 + 9.44578i −0.658719 + 0.494415i
\(366\) −2.78954 + 6.04607i −0.145812 + 0.316033i
\(367\) 20.7145 6.73055i 1.08129 0.351332i 0.286414 0.958106i \(-0.407537\pi\)
0.794874 + 0.606774i \(0.207537\pi\)
\(368\) 5.28764 3.84170i 0.275638 0.200262i
\(369\) −7.68621 + 3.17818i −0.400128 + 0.165449i
\(370\) 9.90112 0.153951i 0.514735 0.00800353i
\(371\) −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 \(-0.391059\pi\)
0.335606 + 0.942003i \(0.391059\pi\)
\(374\) −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
\(378\) 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 \(0.144687\pi\)
\(380\) 7.62383 2.60885i 0.391094 0.133831i
\(381\) 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 \(-0.949836\pi\)
−0.454451 0.890772i \(-0.650164\pi\)
\(384\) −2.33609 + 19.6855i −0.119213 + 1.00457i
\(385\) −14.5953 11.7807i −0.743847 0.600400i
\(386\) 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 \(0.355364\pi\)
\(390\) −9.99092 + 2.14609i −0.505910 + 0.108671i
\(391\) 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 \(0.0283100\pi\)
−0.996048 + 0.0888212i \(0.971690\pi\)
\(398\) −0.677273 + 0.932187i −0.0339486 + 0.0467263i
\(399\) −8.26687 3.81417i −0.413861 0.190947i
\(400\) 3.45503 11.8781i 0.172752 0.593904i
\(401\) 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
\(405\) 19.8297 3.43237i 0.985348 0.170556i
\(406\) 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 \(0.348885\pi\)
\(410\) −1.83935 + 2.61623i −0.0908388 + 0.129207i
\(411\) 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
\(415\) 14.9611 21.2802i 0.734411 1.04460i
\(416\) −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 \(-0.131670\pi\)
\(420\) −14.6901 + 8.52350i −0.716805 + 0.415904i
\(421\) −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
\(425\) 17.8042 + 5.17879i 0.863631 + 0.251208i
\(426\) −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 0.605765 0.795643i \(-0.292867\pi\)
0.957742 + 0.287629i \(0.0928670\pi\)
\(434\) −4.40531 6.06339i −0.211462 0.291052i
\(435\) −4.73194 22.0291i −0.226879 1.05621i
\(436\) 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 \(-0.297955\pi\)
\(440\) 13.7925 3.71920i 0.657530 0.177306i
\(441\) −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 \(-0.173160\pi\)
\(444\) −25.2865 + 5.02168i −1.20004 + 0.238318i
\(445\) −13.0128 + 4.45295i −0.616866 + 0.211090i
\(446\) −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 \(0.0464343\pi\)
\(450\) 5.72822 5.20247i 0.270031 0.245247i
\(451\) 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
\(455\) −28.9212 + 0.449691i −1.35585 + 0.0210819i
\(456\) 6.05087 3.38620i 0.283358 0.158573i
\(457\) −33.4096 + 24.2735i −1.56284 + 1.13547i −0.629198 + 0.777245i \(0.716617\pi\)
−0.933637 + 0.358221i \(0.883383\pi\)
\(458\) −1.35744 + 0.441057i −0.0634288 + 0.0206093i
\(459\) 15.1216 + 11.9436i 0.705818 + 0.557481i
\(460\) −8.19155 + 6.14834i −0.381933 + 0.286668i
\(461\) 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 \(0.0862071\pi\)
−0.963550 + 0.267529i \(0.913793\pi\)
\(464\) −11.6444 8.46013i −0.540576 0.392752i
\(465\) −16.5654 14.8512i −0.768200 0.688707i
\(466\) −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 \(0.0606033\pi\)
\(468\) 24.5854 10.1658i 1.13646 0.469916i
\(469\) −26.9506 + 8.75679i −1.24446 + 0.404351i
\(470\) 2.36245 3.36027i 0.108971 0.154998i
\(471\) 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
\(475\) −9.77847 + 3.51692i −0.448667 + 0.161367i
\(476\) −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 \(0.159687\pi\)
\(480\) 2.03383 19.7590i 0.0928314 0.901873i
\(481\) −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 0.459655 0.888097i \(-0.347973\pi\)
−0.150142 + 0.988664i \(0.547973\pi\)
\(488\) −4.43570 13.6517i −0.200795 0.617983i
\(489\) 12.0695 + 21.5673i 0.545803 + 0.975306i
\(490\) −0.658633 + 0.225382i −0.0297540 + 0.0101817i
\(491\) −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
\(495\) −21.3385 6.29818i −0.959096 0.283082i
\(496\) −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 \(0.931752\pi\)
\(500\) −5.12426 + 18.6958i −0.229164 + 0.836101i
\(501\) 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 0.667842 0.744303i \(-0.267218\pi\)
0.102805 + 0.994702i \(0.467218\pi\)
\(504\) −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 \(0.696235\pi\)
\(510\) 7.37037 + 0.758645i 0.326365 + 0.0335934i
\(511\) −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
\(515\) 19.5000 + 25.9802i 0.859273 + 1.14483i
\(516\) 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
\(520\) 12.6698 18.0212i 0.555608 0.790281i
\(521\) −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 −0.740536 0.672017i \(-0.765428\pi\)
0.410288 + 0.911956i \(0.365428\pi\)
\(524\) 9.75156 + 30.0122i 0.425999 + 1.31109i
\(525\) 18.7717 11.2854i 0.819266 0.492536i
\(526\) 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
\(530\) 4.32142 + 5.75751i 0.187710 + 0.250090i
\(531\) 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
\(535\) −0.123828 7.96381i −0.00535355 0.344305i
\(536\) 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
\(540\) −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
\(543\) −3.09311 15.5752i −0.132738 0.668397i
\(544\) 15.3871 11.1794i 0.659715 0.479311i
\(545\) −40.6063 + 13.8954i −1.73938 + 0.595212i
\(546\) −11.3367 + 2.25138i −0.485167 + 0.0963503i
\(547\) 2.56807 7.90369i 0.109803 0.337937i −0.881025 0.473070i \(-0.843146\pi\)
0.990828 + 0.135132i \(0.0431459\pi\)
\(548\) −16.9364 12.3050i −0.723486 0.525644i
\(549\) −5.23237 + 21.7353i −0.223312 + 0.927640i
\(550\) −8.22413 + 2.35542i −0.350678 + 0.100436i
\(551\) 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
\(555\) 32.5057 6.98235i 1.37979 0.296384i
\(556\) −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 \(0.414616\pi\)
\(558\) −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 −0.674683 0.738108i \(-0.735720\pi\)
0.910471 + 0.413574i \(0.135720\pi\)
\(564\) −4.48015 + 9.71033i −0.188649 + 0.408879i
\(565\) −20.0080 + 0.311101i −0.841741 + 0.0130881i
\(566\) −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 \(-0.143423\pi\)
\(570\) −3.59166 + 2.08395i −0.150438 + 0.0872871i
\(571\) 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
\(575\) 10.4396 8.09240i 0.435360 0.337476i
\(576\) 0.537680 + 6.88617i 0.0224033 + 0.286924i
\(577\) 13.2674 + 18.2610i 0.552330 + 0.760217i 0.990326 0.138760i \(-0.0443116\pi\)
−0.437996 + 0.898977i \(0.644312\pi\)
\(578\) −0.984748 1.35539i −0.0409601 0.0563768i
\(579\) 0.680441 + 3.42633i 0.0282782 + 0.142393i
\(580\) 18.4515 + 12.9724i 0.766159 + 0.538649i
\(581\) 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
\(585\) −31.4986 + 13.6016i −1.30231 + 0.562357i
\(586\) −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 \(0.798992\pi\)
\(588\) 1.58153 0.885060i 0.0652213 0.0364993i
\(589\) 7.01743 + 9.65866i 0.289148 + 0.397978i
\(590\) 4.83633 0.0751993i 0.199108 0.00309591i
\(591\) −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 \(0.197026\pi\)
−0.814473 + 0.580201i \(0.802974\pi\)
\(594\) −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 \(0.492601\pi\)
\(600\) −1.44984 + 16.6183i −0.0591893 + 0.678440i
\(601\) 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
\(605\) 18.0740 + 16.6832i 0.734813 + 0.678270i
\(606\) −0.791079 + 6.66618i −0.0321354 + 0.270795i
\(607\) 8.56016 + 6.21932i 0.347446 + 0.252434i 0.747797 0.663928i \(-0.231112\pi\)
−0.400351 + 0.916362i \(0.631112\pi\)
\(608\) −3.29388 + 10.1375i −0.133584 + 0.411130i
\(609\) −4.96410 24.9965i −0.201155 1.01291i
\(610\) 2.78315 + 8.13316i 0.112686 + 0.329302i
\(611\) −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 −0.999901 0.0140608i \(-0.995524\pi\)
0.817202 + 0.576352i \(0.195524\pi\)
\(614\) −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 \(0.558115\pi\)
\(618\) 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 \(0.0578495\pi\)
\(620\) 22.2686 0.346251i 0.894330 0.0139058i
\(621\) 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
\(625\) 6.23278 24.2106i 0.249311 0.968423i
\(626\) 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
\(630\) 6.56968 5.78288i 0.261742 0.230396i
\(631\) 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
\(635\) 2.45288 + 1.72450i 0.0973397 + 0.0684348i
\(636\) −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
\(640\) 15.3628 + 20.4681i 0.607267 + 0.809074i
\(641\) −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 0.310688 0.950512i \(-0.399440\pi\)
−0.999998 + 0.00175788i \(0.999440\pi\)
\(644\) −9.37216 + 6.80927i −0.369315 + 0.268323i
\(645\) −31.0192 3.19286i −1.22138 0.125719i
\(646\) −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
\(651\) −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 \(0.113643\pi\)
−0.552582 + 0.833459i \(0.686357\pi\)
\(654\) −14.9657 + 8.37511i −0.585204 + 0.327493i
\(655\) −13.1762 38.5046i −0.514836 1.50450i
\(656\) 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 \(0.435023\pi\)
\(660\) 19.9625 9.87626i 0.777040 0.384433i
\(661\) 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
\(665\) −11.1206 + 3.80543i −0.431237 + 0.147568i
\(666\) 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 0.742658 0.669671i \(-0.233565\pi\)
−0.407401 + 0.913250i \(0.633565\pi\)
\(674\) 0.959261 + 0.311683i 0.0369494 + 0.0120056i
\(675\) 15.4617 20.8790i 0.595123 0.803635i
\(676\) −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 \(0.633271\pi\)
\(678\) −7.84286 + 1.55753i −0.301203 + 0.0598165i
\(679\) −6.62100 2.15129i −0.254091 0.0825591i
\(680\) −12.7746 + 9.58825i −0.489884 + 0.367693i
\(681\) 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 \(0.608793\pi\)
\(684\) 8.22487 7.01594i 0.314486 0.268261i
\(685\) 22.0858 + 15.5275i 0.843857 + 0.593275i
\(686\) −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
\(690\) 3.52333 3.93000i 0.134131 0.149613i
\(691\) −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
\(695\) 0.112513 + 0.149903i 0.00426785 + 0.00568614i
\(696\) 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
\(700\) −6.12392 + 21.0535i −0.231462 + 0.795746i
\(701\) −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
\(705\) 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
\(708\) −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 \(0.129132\pi\)
\(710\) 0.589460 + 1.72257i 0.0221220 + 0.0646470i
\(711\) 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
\(715\) 37.8820 + 1.92492i 1.41671 + 0.0719878i
\(716\) 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 \(0.485518\pi\)
\(720\) −1.54903 16.5241i −0.0577291 0.615818i
\(721\) 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 \(0.209509\pi\)
−0.791100 + 0.611687i \(0.790491\pi\)
\(728\) 14.6455 20.1579i 0.542800 0.747100i
\(729\) 23.0473 14.0648i 0.853605 0.520920i
\(730\) 0.126201 + 8.11644i 0.00467092 + 0.300403i
\(731\) −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 \(-0.871972\pi\)
0.514365 0.857572i \(-0.328028\pi\)
\(734\) 3.47211 10.6861i 0.128158 0.394430i
\(735\) −2.02161 + 1.17298i −0.0745682 + 0.0432659i
\(736\) 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 \(0.924506\pi\)
\(740\) −19.1418 + 27.2267i −0.703666 + 1.00087i
\(741\) 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 0.748200 0.663473i \(-0.230918\pi\)
−0.862207 + 0.506556i \(0.830918\pi\)
\(744\) 18.7978 3.73309i 0.689161 0.136862i
\(745\) 28.9521 + 20.3548i 1.06072 + 0.745742i
\(746\) 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
\(750\) 0.713419 9.96433i 0.0260504 0.363846i
\(751\) −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
\(755\) −0.269304 17.3199i −0.00980099 0.630336i
\(756\) −14.1233 + 17.8813i −0.513661 + 0.650337i
\(757\) −9.35522 + 12.8764i −0.340021 + 0.467999i −0.944448 0.328662i \(-0.893402\pi\)
0.604426 + 0.796661i \(0.293402\pi\)
\(758\) 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
\(765\) 24.7683 2.32187i 0.895498 0.0839474i
\(766\) −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 \(-0.122704\pi\)
\(770\) −9.34231 + 2.51919i −0.336674 + 0.0907854i
\(771\) −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 \(-0.00166063\pi\)
\(774\) −12.4228 +