Properties

Label 585.2.bt.b.571.3
Level $585$
Weight $2$
Character 585.571
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 571.3
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.26372 + 1.30696i) q^{2} +(-0.538321 - 1.64627i) q^{3} +(2.41629 - 4.18514i) q^{4} +(0.866025 + 0.500000i) q^{5} +(3.37022 + 3.02314i) q^{6} +(3.14827 - 1.81766i) q^{7} +7.40414i q^{8} +(-2.42042 + 1.77245i) q^{9} +O(q^{10})\) \(q+(-2.26372 + 1.30696i) q^{2} +(-0.538321 - 1.64627i) q^{3} +(2.41629 - 4.18514i) q^{4} +(0.866025 + 0.500000i) q^{5} +(3.37022 + 3.02314i) q^{6} +(3.14827 - 1.81766i) q^{7} +7.40414i q^{8} +(-2.42042 + 1.77245i) q^{9} -2.61392 q^{10} +(-5.33710 + 3.08138i) q^{11} +(-8.19061 - 1.72492i) q^{12} +(0.233392 + 3.59799i) q^{13} +(-4.75121 + 8.22933i) q^{14} +(0.356936 - 1.69487i) q^{15} +(-4.84434 - 8.39063i) q^{16} +2.59963 q^{17} +(3.16264 - 7.17572i) q^{18} +6.95618i q^{19} +(4.18514 - 2.41629i) q^{20} +(-4.68714 - 4.20443i) q^{21} +(8.05447 - 13.9508i) q^{22} +(1.37773 - 2.38631i) q^{23} +(12.1892 - 3.98581i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-5.23076 - 7.83981i) q^{26} +(4.22089 + 3.03052i) q^{27} -17.5679i q^{28} +(2.36365 + 4.09396i) q^{29} +(1.40713 + 4.30322i) q^{30} +(-4.56322 - 2.63457i) q^{31} +(9.10811 + 5.25857i) q^{32} +(7.94585 + 7.12754i) q^{33} +(-5.88483 + 3.39761i) q^{34} +3.63531 q^{35} +(1.56949 + 14.4125i) q^{36} +2.85385i q^{37} +(-9.09145 - 15.7469i) q^{38} +(5.79763 - 2.32110i) q^{39} +(-3.70207 + 6.41217i) q^{40} +(0.632395 + 0.365113i) q^{41} +(16.1054 + 3.39175i) q^{42} +(2.01702 + 3.49359i) q^{43} +29.7820i q^{44} +(-2.98237 + 0.324773i) q^{45} +7.20258i q^{46} +(-0.0766416 + 0.0442490i) q^{47} +(-11.2055 + 12.4919i) q^{48} +(3.10774 - 5.38277i) q^{49} +(-2.26372 - 1.30696i) q^{50} +(-1.39943 - 4.27969i) q^{51} +(15.6220 + 7.71701i) q^{52} +1.07708 q^{53} +(-13.5157 - 1.34372i) q^{54} -6.16275 q^{55} +(13.4582 + 23.3102i) q^{56} +(11.4518 - 3.74466i) q^{57} +(-10.7013 - 6.17839i) q^{58} +(5.43841 + 3.13987i) q^{59} +(-6.23082 - 5.58913i) q^{60} +(2.61102 + 4.52242i) q^{61} +13.7731 q^{62} +(-4.39844 + 9.97963i) q^{63} -8.11361 q^{64} +(-1.59687 + 3.23265i) q^{65} +(-27.3026 - 5.74986i) q^{66} +(-10.5075 - 6.06651i) q^{67} +(6.28145 - 10.8798i) q^{68} +(-4.67017 - 0.983525i) q^{69} +(-8.22933 + 4.75121i) q^{70} -4.49697i q^{71} +(-13.1234 - 17.9211i) q^{72} +11.8579i q^{73} +(-3.72987 - 6.46032i) q^{74} +(1.15655 - 1.28934i) q^{75} +(29.1126 + 16.8082i) q^{76} +(-11.2018 + 19.4020i) q^{77} +(-10.0906 + 12.8316i) q^{78} +(-2.01822 - 3.49566i) q^{79} -9.68867i q^{80} +(2.71687 - 8.58013i) q^{81} -1.90875 q^{82} +(12.4976 - 7.21548i) q^{83} +(-28.9216 + 9.45719i) q^{84} +(2.25134 + 1.29981i) q^{85} +(-9.13195 - 5.27234i) q^{86} +(5.46737 - 6.09507i) q^{87} +(-22.8149 - 39.5166i) q^{88} +6.71820i q^{89} +(6.32679 - 4.63303i) q^{90} +(7.27469 + 10.9032i) q^{91} +(-6.65801 - 11.5320i) q^{92} +(-1.88075 + 8.93054i) q^{93} +(0.115663 - 0.200335i) q^{94} +(-3.47809 + 6.02423i) q^{95} +(3.75394 - 17.8252i) q^{96} +(12.5186 - 7.22764i) q^{97} +16.2468i q^{98} +(7.45645 - 16.9179i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.26372 + 1.30696i −1.60069 + 0.924160i −0.609344 + 0.792906i \(0.708567\pi\)
−0.991349 + 0.131255i \(0.958099\pi\)
\(3\) −0.538321 1.64627i −0.310800 0.950475i
\(4\) 2.41629 4.18514i 1.20815 2.09257i
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) 3.37022 + 3.02314i 1.37589 + 1.23419i
\(7\) 3.14827 1.81766i 1.18993 0.687009i 0.231643 0.972801i \(-0.425590\pi\)
0.958292 + 0.285792i \(0.0922566\pi\)
\(8\) 7.40414i 2.61776i
\(9\) −2.42042 + 1.77245i −0.806807 + 0.590815i
\(10\) −2.61392 −0.826594
\(11\) −5.33710 + 3.08138i −1.60920 + 0.929070i −0.619645 + 0.784882i \(0.712724\pi\)
−0.989550 + 0.144188i \(0.953943\pi\)
\(12\) −8.19061 1.72492i −2.36443 0.497942i
\(13\) 0.233392 + 3.59799i 0.0647312 + 0.997903i
\(14\) −4.75121 + 8.22933i −1.26981 + 2.19938i
\(15\) 0.356936 1.69487i 0.0921604 0.437615i
\(16\) −4.84434 8.39063i −1.21108 2.09766i
\(17\) 2.59963 0.630502 0.315251 0.949008i \(-0.397911\pi\)
0.315251 + 0.949008i \(0.397911\pi\)
\(18\) 3.16264 7.17572i 0.745442 1.69133i
\(19\) 6.95618i 1.59586i 0.602752 + 0.797929i \(0.294071\pi\)
−0.602752 + 0.797929i \(0.705929\pi\)
\(20\) 4.18514 2.41629i 0.935825 0.540299i
\(21\) −4.68714 4.20443i −1.02282 0.917481i
\(22\) 8.05447 13.9508i 1.71722 2.97431i
\(23\) 1.37773 2.38631i 0.287277 0.497579i −0.685881 0.727713i \(-0.740583\pi\)
0.973159 + 0.230134i \(0.0739165\pi\)
\(24\) 12.1892 3.98581i 2.48811 0.813599i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) −5.23076 7.83981i −1.02584 1.53751i
\(27\) 4.22089 + 3.03052i 0.812311 + 0.583225i
\(28\) 17.5679i 3.32003i
\(29\) 2.36365 + 4.09396i 0.438919 + 0.760229i 0.997606 0.0691488i \(-0.0220283\pi\)
−0.558688 + 0.829378i \(0.688695\pi\)
\(30\) 1.40713 + 4.30322i 0.256905 + 0.785657i
\(31\) −4.56322 2.63457i −0.819578 0.473184i 0.0306930 0.999529i \(-0.490229\pi\)
−0.850271 + 0.526345i \(0.823562\pi\)
\(32\) 9.10811 + 5.25857i 1.61010 + 0.929592i
\(33\) 7.94585 + 7.12754i 1.38320 + 1.24075i
\(34\) −5.88483 + 3.39761i −1.00924 + 0.582685i
\(35\) 3.63531 0.614480
\(36\) 1.56949 + 14.4125i 0.261582 + 2.40209i
\(37\) 2.85385i 0.469170i 0.972096 + 0.234585i \(0.0753731\pi\)
−0.972096 + 0.234585i \(0.924627\pi\)
\(38\) −9.09145 15.7469i −1.47483 2.55448i
\(39\) 5.79763 2.32110i 0.928363 0.371674i
\(40\) −3.70207 + 6.41217i −0.585349 + 1.01385i
\(41\) 0.632395 + 0.365113i 0.0987635 + 0.0570211i 0.548568 0.836106i \(-0.315173\pi\)
−0.449805 + 0.893127i \(0.648506\pi\)
\(42\) 16.1054 + 3.39175i 2.48512 + 0.523359i
\(43\) 2.01702 + 3.49359i 0.307593 + 0.532767i 0.977835 0.209376i \(-0.0671431\pi\)
−0.670242 + 0.742142i \(0.733810\pi\)
\(44\) 29.7820i 4.48980i
\(45\) −2.98237 + 0.324773i −0.444585 + 0.0484144i
\(46\) 7.20258i 1.06196i
\(47\) −0.0766416 + 0.0442490i −0.0111793 + 0.00645439i −0.505579 0.862780i \(-0.668721\pi\)
0.494400 + 0.869235i \(0.335388\pi\)
\(48\) −11.2055 + 12.4919i −1.61737 + 1.80306i
\(49\) 3.10774 5.38277i 0.443963 0.768967i
\(50\) −2.26372 1.30696i −0.320139 0.184832i
\(51\) −1.39943 4.27969i −0.195960 0.599277i
\(52\) 15.6220 + 7.71701i 2.16638 + 1.07016i
\(53\) 1.07708 0.147949 0.0739744 0.997260i \(-0.476432\pi\)
0.0739744 + 0.997260i \(0.476432\pi\)
\(54\) −13.5157 1.34372i −1.83925 0.182858i
\(55\) −6.16275 −0.830985
\(56\) 13.4582 + 23.3102i 1.79842 + 3.11496i
\(57\) 11.4518 3.74466i 1.51682 0.495992i
\(58\) −10.7013 6.17839i −1.40515 0.811262i
\(59\) 5.43841 + 3.13987i 0.708021 + 0.408776i 0.810328 0.585977i \(-0.199289\pi\)
−0.102307 + 0.994753i \(0.532622\pi\)
\(60\) −6.23082 5.58913i −0.804395 0.721554i
\(61\) 2.61102 + 4.52242i 0.334307 + 0.579036i 0.983351 0.181714i \(-0.0581645\pi\)
−0.649045 + 0.760750i \(0.724831\pi\)
\(62\) 13.7731 1.74919
\(63\) −4.39844 + 9.97963i −0.554152 + 1.25732i
\(64\) −8.11361 −1.01420
\(65\) −1.59687 + 3.23265i −0.198068 + 0.400960i
\(66\) −27.3026 5.74986i −3.36072 0.707759i
\(67\) −10.5075 6.06651i −1.28370 0.741142i −0.306173 0.951976i \(-0.599049\pi\)
−0.977522 + 0.210834i \(0.932382\pi\)
\(68\) 6.28145 10.8798i 0.761738 1.31937i
\(69\) −4.67017 0.983525i −0.562223 0.118403i
\(70\) −8.22933 + 4.75121i −0.983593 + 0.567878i
\(71\) 4.49697i 0.533693i −0.963739 0.266846i \(-0.914018\pi\)
0.963739 0.266846i \(-0.0859816\pi\)
\(72\) −13.1234 17.9211i −1.54661 2.11203i
\(73\) 11.8579i 1.38786i 0.720042 + 0.693930i \(0.244122\pi\)
−0.720042 + 0.693930i \(0.755878\pi\)
\(74\) −3.72987 6.46032i −0.433588 0.750997i
\(75\) 1.15655 1.28934i 0.133547 0.148880i
\(76\) 29.1126 + 16.8082i 3.33944 + 1.92803i
\(77\) −11.2018 + 19.4020i −1.27656 + 2.21106i
\(78\) −10.0906 + 12.8316i −1.14254 + 1.45289i
\(79\) −2.01822 3.49566i −0.227068 0.393293i 0.729870 0.683586i \(-0.239581\pi\)
−0.956938 + 0.290293i \(0.906247\pi\)
\(80\) 9.68867i 1.08323i
\(81\) 2.71687 8.58013i 0.301874 0.953348i
\(82\) −1.90875 −0.210787
\(83\) 12.4976 7.21548i 1.37179 0.792001i 0.380634 0.924726i \(-0.375706\pi\)
0.991153 + 0.132724i \(0.0423725\pi\)
\(84\) −28.9216 + 9.45719i −3.15560 + 1.03186i
\(85\) 2.25134 + 1.29981i 0.244192 + 0.140985i
\(86\) −9.13195 5.27234i −0.984724 0.568531i
\(87\) 5.46737 6.09507i 0.586163 0.653461i
\(88\) −22.8149 39.5166i −2.43208 4.21249i
\(89\) 6.71820i 0.712127i 0.934462 + 0.356064i \(0.115881\pi\)
−0.934462 + 0.356064i \(0.884119\pi\)
\(90\) 6.32679 4.63303i 0.666902 0.488365i
\(91\) 7.27469 + 10.9032i 0.762594 + 1.14297i
\(92\) −6.65801 11.5320i −0.694146 1.20230i
\(93\) −1.88075 + 8.93054i −0.195024 + 0.926054i
\(94\) 0.115663 0.200335i 0.0119298 0.0206630i
\(95\) −3.47809 + 6.02423i −0.356845 + 0.618073i
\(96\) 3.75394 17.8252i 0.383135 1.81928i
\(97\) 12.5186 7.22764i 1.27108 0.733856i 0.295885 0.955223i \(-0.404385\pi\)
0.975190 + 0.221367i \(0.0710520\pi\)
\(98\) 16.2468i 1.64117i
\(99\) 7.45645 16.9179i 0.749401 1.70032i
\(100\) 4.83258 0.483258
\(101\) 5.68748 + 9.85100i 0.565925 + 0.980211i 0.996963 + 0.0778773i \(0.0248142\pi\)
−0.431038 + 0.902334i \(0.641852\pi\)
\(102\) 8.76132 + 7.85902i 0.867500 + 0.778159i
\(103\) −5.52903 + 9.57656i −0.544791 + 0.943606i 0.453829 + 0.891089i \(0.350058\pi\)
−0.998620 + 0.0525172i \(0.983276\pi\)
\(104\) −26.6400 + 1.72806i −2.61227 + 0.169451i
\(105\) −1.95697 5.98471i −0.190980 0.584048i
\(106\) −2.43822 + 1.40771i −0.236821 + 0.136729i
\(107\) −2.96594 −0.286728 −0.143364 0.989670i \(-0.545792\pi\)
−0.143364 + 0.989670i \(0.545792\pi\)
\(108\) 22.8821 10.3424i 2.20183 0.995197i
\(109\) 4.42434i 0.423775i 0.977294 + 0.211887i \(0.0679610\pi\)
−0.977294 + 0.211887i \(0.932039\pi\)
\(110\) 13.9508 8.05447i 1.33015 0.767964i
\(111\) 4.69821 1.53629i 0.445934 0.145818i
\(112\) −30.5026 17.6107i −2.88222 1.66405i
\(113\) −2.57928 + 4.46745i −0.242638 + 0.420262i −0.961465 0.274927i \(-0.911346\pi\)
0.718827 + 0.695189i \(0.244679\pi\)
\(114\) −21.0295 + 23.4439i −1.96959 + 2.19572i
\(115\) 2.38631 1.37773i 0.222524 0.128474i
\(116\) 22.8450 2.12111
\(117\) −6.94215 8.29497i −0.641802 0.766870i
\(118\) −16.4147 −1.51110
\(119\) 8.18433 4.72522i 0.750256 0.433161i
\(120\) 12.5491 + 2.64280i 1.14557 + 0.241254i
\(121\) 13.4897 23.3649i 1.22634 2.12408i
\(122\) −11.8212 6.82500i −1.07025 0.617906i
\(123\) 0.260644 1.23764i 0.0235015 0.111594i
\(124\) −22.0521 + 12.7318i −1.98034 + 1.14335i
\(125\) 1.00000i 0.0894427i
\(126\) −3.08613 28.3397i −0.274934 2.52470i
\(127\) 16.0536 1.42453 0.712263 0.701913i \(-0.247670\pi\)
0.712263 + 0.701913i \(0.247670\pi\)
\(128\) 0.150750 0.0870357i 0.0133246 0.00769294i
\(129\) 4.66558 5.20124i 0.410782 0.457943i
\(130\) −0.610067 9.40486i −0.0535064 0.824861i
\(131\) 0.462103 0.800387i 0.0403742 0.0699301i −0.845132 0.534557i \(-0.820478\pi\)
0.885506 + 0.464627i \(0.153812\pi\)
\(132\) 49.0292 16.0323i 4.26745 1.39543i
\(133\) 12.6439 + 21.8999i 1.09637 + 1.89897i
\(134\) 31.7147 2.73974
\(135\) 2.14014 + 4.73496i 0.184194 + 0.407520i
\(136\) 19.2480i 1.65050i
\(137\) 6.99169 4.03665i 0.597340 0.344875i −0.170654 0.985331i \(-0.554588\pi\)
0.767995 + 0.640456i \(0.221255\pi\)
\(138\) 11.8574 3.87730i 1.00937 0.330058i
\(139\) −4.29105 + 7.43232i −0.363962 + 0.630402i −0.988609 0.150506i \(-0.951910\pi\)
0.624647 + 0.780908i \(0.285243\pi\)
\(140\) 8.78397 15.2143i 0.742381 1.28584i
\(141\) 0.114104 + 0.102353i 0.00960927 + 0.00861965i
\(142\) 5.87737 + 10.1799i 0.493218 + 0.854278i
\(143\) −12.3324 18.4837i −1.03129 1.54568i
\(144\) 26.5973 + 11.7225i 2.21644 + 0.976878i
\(145\) 4.72730i 0.392581i
\(146\) −15.4978 26.8429i −1.28261 2.22154i
\(147\) −10.5345 2.21853i −0.868868 0.182981i
\(148\) 11.9437 + 6.89573i 0.981770 + 0.566825i
\(149\) −13.1652 7.60091i −1.07853 0.622691i −0.148032 0.988983i \(-0.547294\pi\)
−0.930500 + 0.366291i \(0.880627\pi\)
\(150\) −0.933002 + 4.43026i −0.0761793 + 0.361730i
\(151\) −3.77135 + 2.17739i −0.306908 + 0.177194i −0.645542 0.763725i \(-0.723369\pi\)
0.338634 + 0.940918i \(0.390035\pi\)
\(152\) −51.5045 −4.17757
\(153\) −6.29219 + 4.60770i −0.508693 + 0.372510i
\(154\) 58.5610i 4.71898i
\(155\) −2.63457 4.56322i −0.211614 0.366526i
\(156\) 4.29463 29.8723i 0.343845 2.39170i
\(157\) −1.81156 + 3.13771i −0.144578 + 0.250416i −0.929215 0.369539i \(-0.879516\pi\)
0.784637 + 0.619955i \(0.212849\pi\)
\(158\) 9.13738 + 5.27547i 0.726931 + 0.419694i
\(159\) −0.579817 1.77317i −0.0459825 0.140622i
\(160\) 5.25857 + 9.10811i 0.415726 + 0.720059i
\(161\) 10.0170i 0.789449i
\(162\) 5.06365 + 22.9739i 0.397838 + 1.80500i
\(163\) 21.3381i 1.67133i −0.549238 0.835666i \(-0.685082\pi\)
0.549238 0.835666i \(-0.314918\pi\)
\(164\) 3.05610 1.76444i 0.238641 0.137780i
\(165\) 3.31754 + 10.1456i 0.258270 + 0.789831i
\(166\) −18.8607 + 32.6677i −1.46387 + 2.53550i
\(167\) −15.4532 8.92193i −1.19581 0.690400i −0.236190 0.971707i \(-0.575899\pi\)
−0.959618 + 0.281307i \(0.909232\pi\)
\(168\) 31.1302 34.7042i 2.40174 2.67749i
\(169\) −12.8911 + 1.67948i −0.991620 + 0.129191i
\(170\) −6.79522 −0.521169
\(171\) −12.3295 16.8369i −0.942857 1.28755i
\(172\) 19.4948 1.48647
\(173\) 1.03325 + 1.78964i 0.0785563 + 0.136064i 0.902627 0.430423i \(-0.141636\pi\)
−0.824071 + 0.566487i \(0.808302\pi\)
\(174\) −4.41058 + 20.9432i −0.334365 + 1.58770i
\(175\) 3.14827 + 1.81766i 0.237987 + 0.137402i
\(176\) 51.7094 + 29.8544i 3.89774 + 2.25036i
\(177\) 2.24146 10.6434i 0.168479 0.800004i
\(178\) −8.78042 15.2081i −0.658120 1.13990i
\(179\) 3.29091 0.245974 0.122987 0.992408i \(-0.460753\pi\)
0.122987 + 0.992408i \(0.460753\pi\)
\(180\) −5.84705 + 13.2664i −0.435813 + 0.988817i
\(181\) −3.13408 −0.232954 −0.116477 0.993193i \(-0.537160\pi\)
−0.116477 + 0.993193i \(0.537160\pi\)
\(182\) −30.7179 15.1741i −2.27697 1.12478i
\(183\) 6.03956 6.73296i 0.446457 0.497715i
\(184\) 17.6685 + 10.2009i 1.30254 + 0.752023i
\(185\) −1.42692 + 2.47151i −0.104910 + 0.181709i
\(186\) −7.41437 22.6743i −0.543648 1.66256i
\(187\) −13.8745 + 8.01042i −1.01460 + 0.585780i
\(188\) 0.427674i 0.0311913i
\(189\) 18.7970 + 1.86878i 1.36728 + 0.135934i
\(190\) 18.1829i 1.31913i
\(191\) −2.32532 4.02758i −0.168255 0.291425i 0.769552 0.638584i \(-0.220480\pi\)
−0.937806 + 0.347159i \(0.887146\pi\)
\(192\) 4.36773 + 13.3572i 0.315214 + 0.963974i
\(193\) 22.2078 + 12.8217i 1.59855 + 0.922925i 0.991767 + 0.128059i \(0.0408747\pi\)
0.606786 + 0.794865i \(0.292459\pi\)
\(194\) −18.8925 + 32.7227i −1.35640 + 2.34936i
\(195\) 6.18144 + 0.888682i 0.442662 + 0.0636398i
\(196\) −15.0184 26.0127i −1.07274 1.85805i
\(197\) 0.692184i 0.0493161i −0.999696 0.0246580i \(-0.992150\pi\)
0.999696 0.0246580i \(-0.00784969\pi\)
\(198\) 5.23175 + 48.0428i 0.371805 + 3.41425i
\(199\) 20.3639 1.44356 0.721779 0.692124i \(-0.243325\pi\)
0.721779 + 0.692124i \(0.243325\pi\)
\(200\) −6.41217 + 3.70207i −0.453409 + 0.261776i
\(201\) −4.33071 + 20.5639i −0.305465 + 1.45047i
\(202\) −25.7497 14.8666i −1.81174 1.04601i
\(203\) 14.8828 + 8.59260i 1.04457 + 0.603082i
\(204\) −21.2925 4.48415i −1.49078 0.313953i
\(205\) 0.365113 + 0.632395i 0.0255006 + 0.0441684i
\(206\) 28.9049i 2.01390i
\(207\) 0.894903 + 8.21782i 0.0622000 + 0.571178i
\(208\) 29.0588 19.3882i 2.01486 1.34433i
\(209\) −21.4346 37.1258i −1.48266 2.56805i
\(210\) 12.2518 + 10.9900i 0.845455 + 0.758385i
\(211\) −9.20685 + 15.9467i −0.633826 + 1.09782i 0.352937 + 0.935647i \(0.385183\pi\)
−0.986763 + 0.162171i \(0.948150\pi\)
\(212\) 2.60255 4.50774i 0.178744 0.309593i
\(213\) −7.40324 + 2.42082i −0.507262 + 0.165872i
\(214\) 6.71405 3.87636i 0.458963 0.264983i
\(215\) 4.03404i 0.275120i
\(216\) −22.4384 + 31.2521i −1.52674 + 2.12643i
\(217\) −19.1550 −1.30033
\(218\) −5.78244 10.0155i −0.391636 0.678333i
\(219\) 19.5213 6.38335i 1.31913 0.431347i
\(220\) −14.8910 + 25.7920i −1.00395 + 1.73889i
\(221\) 0.606731 + 9.35343i 0.0408131 + 0.629180i
\(222\) −8.62757 + 9.61810i −0.579045 + 0.645525i
\(223\) −5.41236 + 3.12483i −0.362439 + 0.209254i −0.670150 0.742226i \(-0.733770\pi\)
0.307711 + 0.951480i \(0.400437\pi\)
\(224\) 38.2331 2.55455
\(225\) −2.74519 1.20992i −0.183013 0.0806615i
\(226\) 13.4841i 0.896947i
\(227\) −0.760752 + 0.439221i −0.0504929 + 0.0291521i −0.525034 0.851081i \(-0.675947\pi\)
0.474541 + 0.880233i \(0.342614\pi\)
\(228\) 11.9989 56.9754i 0.794644 3.77329i
\(229\) 1.63328 + 0.942977i 0.107931 + 0.0623137i 0.552994 0.833186i \(-0.313485\pi\)
−0.445063 + 0.895499i \(0.646819\pi\)
\(230\) −3.60129 + 6.23761i −0.237462 + 0.411296i
\(231\) 37.9711 + 7.99662i 2.49832 + 0.526139i
\(232\) −30.3122 + 17.5008i −1.99010 + 1.14898i
\(233\) −14.3979 −0.943241 −0.471620 0.881802i \(-0.656331\pi\)
−0.471620 + 0.881802i \(0.656331\pi\)
\(234\) 26.5563 + 9.70440i 1.73604 + 0.634396i
\(235\) −0.0884981 −0.00577298
\(236\) 26.2816 15.1737i 1.71078 0.987722i
\(237\) −4.66836 + 5.20433i −0.303242 + 0.338058i
\(238\) −12.3514 + 21.3932i −0.800620 + 1.38671i
\(239\) 7.36485 + 4.25210i 0.476393 + 0.275045i 0.718912 0.695101i \(-0.244640\pi\)
−0.242519 + 0.970147i \(0.577974\pi\)
\(240\) −15.9502 + 5.21562i −1.02958 + 0.336667i
\(241\) −12.2554 + 7.07566i −0.789440 + 0.455783i −0.839765 0.542950i \(-0.817307\pi\)
0.0503254 + 0.998733i \(0.483974\pi\)
\(242\) 70.5223i 4.53334i
\(243\) −15.5878 + 0.146163i −0.999956 + 0.00937638i
\(244\) 25.2359 1.61556
\(245\) 5.38277 3.10774i 0.343892 0.198546i
\(246\) 1.02752 + 3.14233i 0.0655125 + 0.200348i
\(247\) −25.0283 + 1.62351i −1.59251 + 0.103302i
\(248\) 19.5068 33.7867i 1.23868 2.14546i
\(249\) −18.6063 16.6902i −1.17913 1.05770i
\(250\) −1.30696 2.26372i −0.0826594 0.143170i
\(251\) 8.57844 0.541467 0.270733 0.962654i \(-0.412734\pi\)
0.270733 + 0.962654i \(0.412734\pi\)
\(252\) 31.1382 + 42.5218i 1.96152 + 2.67862i
\(253\) 16.9813i 1.06760i
\(254\) −36.3408 + 20.9814i −2.28023 + 1.31649i
\(255\) 0.927900 4.40604i 0.0581073 0.275917i
\(256\) 7.88611 13.6591i 0.492882 0.853696i
\(257\) −9.22785 + 15.9831i −0.575617 + 0.996998i 0.420357 + 0.907359i \(0.361905\pi\)
−0.995974 + 0.0896395i \(0.971429\pi\)
\(258\) −3.76377 + 17.8719i −0.234322 + 1.11266i
\(259\) 5.18731 + 8.98469i 0.322324 + 0.558281i
\(260\) 9.67056 + 14.4941i 0.599743 + 0.898888i
\(261\) −12.9773 5.71966i −0.803278 0.354038i
\(262\) 2.41580i 0.149249i
\(263\) 4.84647 + 8.39433i 0.298846 + 0.517616i 0.975872 0.218342i \(-0.0700650\pi\)
−0.677026 + 0.735959i \(0.736732\pi\)
\(264\) −52.7733 + 58.8322i −3.24797 + 3.62087i
\(265\) 0.932782 + 0.538542i 0.0573004 + 0.0330824i
\(266\) −57.2447 33.0503i −3.50990 2.02644i
\(267\) 11.0600 3.61655i 0.676860 0.221329i
\(268\) −50.7783 + 29.3169i −3.10178 + 1.79081i
\(269\) −29.0023 −1.76830 −0.884151 0.467202i \(-0.845262\pi\)
−0.884151 + 0.467202i \(0.845262\pi\)
\(270\) −11.0331 7.92155i −0.671452 0.482090i
\(271\) 0.879845i 0.0534468i −0.999643 0.0267234i \(-0.991493\pi\)
0.999643 0.0267234i \(-0.00850733\pi\)
\(272\) −12.5935 21.8125i −0.763591 1.32258i
\(273\) 14.0335 17.8455i 0.849349 1.08006i
\(274\) −10.5515 + 18.2757i −0.637439 + 1.10408i
\(275\) −5.33710 3.08138i −0.321839 0.185814i
\(276\) −15.4007 + 17.1688i −0.927012 + 1.03344i
\(277\) −9.68065 16.7674i −0.581654 1.00745i −0.995284 0.0970085i \(-0.969073\pi\)
0.413630 0.910445i \(-0.364261\pi\)
\(278\) 22.4329i 1.34544i
\(279\) 15.7145 1.71128i 0.940805 0.102452i
\(280\) 26.9163i 1.60856i
\(281\) 8.50247 4.90891i 0.507215 0.292841i −0.224473 0.974480i \(-0.572066\pi\)
0.731688 + 0.681640i \(0.238733\pi\)
\(282\) −0.392070 0.0825689i −0.0233474 0.00491690i
\(283\) 8.76830 15.1871i 0.521221 0.902781i −0.478474 0.878102i \(-0.658810\pi\)
0.999695 0.0246799i \(-0.00785665\pi\)
\(284\) −18.8205 10.8660i −1.11679 0.644778i
\(285\) 11.7898 + 2.48291i 0.698370 + 0.147075i
\(286\) 52.0745 + 25.7239i 3.07923 + 1.52109i
\(287\) 2.65460 0.156696
\(288\) −31.3660 + 3.41569i −1.84826 + 0.201271i
\(289\) −10.2419 −0.602467
\(290\) −6.17839 10.7013i −0.362808 0.628401i
\(291\) −18.6377 16.7183i −1.09256 0.980044i
\(292\) 49.6269 + 28.6521i 2.90419 + 1.67674i
\(293\) −12.7264 7.34761i −0.743486 0.429252i 0.0798491 0.996807i \(-0.474556\pi\)
−0.823336 + 0.567555i \(0.807889\pi\)
\(294\) 26.7466 8.74599i 1.55989 0.510076i
\(295\) 3.13987 + 5.43841i 0.182810 + 0.316637i
\(296\) −21.1303 −1.22817
\(297\) −31.8655 3.16805i −1.84902 0.183829i
\(298\) 39.7364 2.30187
\(299\) 8.90745 + 4.40013i 0.515131 + 0.254466i
\(300\) −2.60148 7.95574i −0.150197 0.459325i
\(301\) 12.7003 + 7.33250i 0.732031 + 0.422638i
\(302\) 5.69153 9.85802i 0.327511 0.567265i
\(303\) 13.1557 14.6661i 0.755777 0.842548i
\(304\) 58.3668 33.6981i 3.34756 1.93272i
\(305\) 5.22204i 0.299013i
\(306\) 8.22168 18.6542i 0.470002 1.06639i
\(307\) 18.6900i 1.06669i −0.845897 0.533346i \(-0.820934\pi\)
0.845897 0.533346i \(-0.179066\pi\)
\(308\) 54.1334 + 93.7618i 3.08454 + 5.34257i
\(309\) 18.7420 + 3.94702i 1.06620 + 0.224538i
\(310\) 11.9279 + 6.88657i 0.677458 + 0.391131i
\(311\) −5.21390 + 9.03074i −0.295653 + 0.512087i −0.975137 0.221604i \(-0.928871\pi\)
0.679483 + 0.733691i \(0.262204\pi\)
\(312\) 17.1858 + 42.9264i 0.972952 + 2.43023i
\(313\) −11.3410 19.6431i −0.641030 1.11030i −0.985203 0.171390i \(-0.945174\pi\)
0.344174 0.938906i \(-0.388159\pi\)
\(314\) 9.47053i 0.534453i
\(315\) −8.79898 + 6.44339i −0.495766 + 0.363044i
\(316\) −19.5064 −1.09732
\(317\) 8.53451 4.92740i 0.479346 0.276750i −0.240798 0.970575i \(-0.577409\pi\)
0.720144 + 0.693825i \(0.244076\pi\)
\(318\) 3.63001 + 3.25617i 0.203561 + 0.182597i
\(319\) −25.2301 14.5666i −1.41261 0.815572i
\(320\) −7.02660 4.05681i −0.392799 0.226782i
\(321\) 1.59663 + 4.88274i 0.0891150 + 0.272528i
\(322\) 13.0918 + 22.6757i 0.729577 + 1.26367i
\(323\) 18.0835i 1.00619i
\(324\) −29.3443 32.1025i −1.63024 1.78347i
\(325\) −2.99925 + 2.00112i −0.166369 + 0.111002i
\(326\) 27.8881 + 48.3036i 1.54458 + 2.67529i
\(327\) 7.28366 2.38172i 0.402788 0.131709i
\(328\) −2.70335 + 4.68234i −0.149268 + 0.258539i
\(329\) −0.160859 + 0.278616i −0.00886844 + 0.0153606i
\(330\) −20.7698 18.6308i −1.14334 1.02559i
\(331\) 19.1056 11.0306i 1.05014 0.606299i 0.127452 0.991845i \(-0.459320\pi\)
0.922689 + 0.385546i \(0.125987\pi\)
\(332\) 69.7387i 3.82741i
\(333\) −5.05829 6.90751i −0.277193 0.378529i
\(334\) 46.6424 2.55216
\(335\) −6.06651 10.5075i −0.331449 0.574086i
\(336\) −12.5718 + 59.6957i −0.685845 + 3.25667i
\(337\) 6.75696 11.7034i 0.368075 0.637525i −0.621190 0.783660i \(-0.713350\pi\)
0.989265 + 0.146136i \(0.0466837\pi\)
\(338\) 26.9867 20.6500i 1.46789 1.12321i
\(339\) 8.74311 + 1.84128i 0.474861 + 0.100004i
\(340\) 10.8798 6.28145i 0.590040 0.340660i
\(341\) 32.4724 1.75848
\(342\) 49.9156 + 21.9999i 2.69913 + 1.18962i
\(343\) 2.85196i 0.153991i
\(344\) −25.8670 + 14.9343i −1.39465 + 0.805204i
\(345\) −3.55272 3.18684i −0.191272 0.171574i
\(346\) −4.67797 2.70083i −0.251489 0.145197i
\(347\) 18.4529 31.9613i 0.990602 1.71577i 0.376849 0.926275i \(-0.377008\pi\)
0.613753 0.789498i \(-0.289659\pi\)
\(348\) −12.2980 37.6091i −0.659241 2.01606i
\(349\) 6.39554 3.69247i 0.342345 0.197653i −0.318963 0.947767i \(-0.603335\pi\)
0.661309 + 0.750114i \(0.270001\pi\)
\(350\) −9.50241 −0.507925
\(351\) −9.91867 + 15.8940i −0.529419 + 0.848360i
\(352\) −64.8145 −3.45462
\(353\) 2.80259 1.61808i 0.149167 0.0861216i −0.423559 0.905869i \(-0.639219\pi\)
0.572726 + 0.819747i \(0.305886\pi\)
\(354\) 8.83640 + 27.0231i 0.469649 + 1.43626i
\(355\) 2.24849 3.89449i 0.119337 0.206698i
\(356\) 28.1166 + 16.2331i 1.49018 + 0.860353i
\(357\) −12.1848 10.9299i −0.644888 0.578474i
\(358\) −7.44970 + 4.30109i −0.393729 + 0.227320i
\(359\) 0.845505i 0.0446241i −0.999751 0.0223120i \(-0.992897\pi\)
0.999751 0.0223120i \(-0.00710273\pi\)
\(360\) −2.40467 22.0819i −0.126737 1.16382i
\(361\) −29.3885 −1.54676
\(362\) 7.09469 4.09612i 0.372888 0.215287i
\(363\) −45.7268 9.62995i −2.40004 0.505441i
\(364\) 63.2092 4.10021i 3.31306 0.214909i
\(365\) −5.92894 + 10.2692i −0.310335 + 0.537516i
\(366\) −4.87217 + 23.1350i −0.254673 + 1.20929i
\(367\) −16.7452 29.0035i −0.874091 1.51397i −0.857728 0.514104i \(-0.828125\pi\)
−0.0163626 0.999866i \(-0.505209\pi\)
\(368\) −26.6968 −1.39167
\(369\) −2.17781 + 0.237158i −0.113372 + 0.0123460i
\(370\) 7.45973i 0.387813i
\(371\) 3.39095 1.95777i 0.176050 0.101642i
\(372\) 32.8311 + 29.4500i 1.70221 + 1.52691i
\(373\) −5.49791 + 9.52266i −0.284671 + 0.493065i −0.972529 0.232780i \(-0.925218\pi\)
0.687858 + 0.725845i \(0.258551\pi\)
\(374\) 20.9386 36.2667i 1.08271 1.87531i
\(375\) 1.64627 0.538321i 0.0850131 0.0277988i
\(376\) −0.327626 0.567465i −0.0168960 0.0292648i
\(377\) −14.1784 + 9.45988i −0.730223 + 0.487209i
\(378\) −44.9935 + 20.3365i −2.31422 + 1.04600i
\(379\) 24.2400i 1.24512i 0.782571 + 0.622562i \(0.213908\pi\)
−0.782571 + 0.622562i \(0.786092\pi\)
\(380\) 16.8082 + 29.1126i 0.862240 + 1.49344i
\(381\) −8.64199 26.4286i −0.442742 1.35398i
\(382\) 10.5278 + 6.07821i 0.538648 + 0.310988i
\(383\) −1.46047 0.843202i −0.0746265 0.0430856i 0.462222 0.886764i \(-0.347052\pi\)
−0.536849 + 0.843678i \(0.680385\pi\)
\(384\) −0.224436 0.201323i −0.0114532 0.0102737i
\(385\) −19.4020 + 11.2018i −0.988818 + 0.570894i
\(386\) −67.0297 −3.41172
\(387\) −11.0742 4.88088i −0.562935 0.248109i
\(388\) 69.8563i 3.54642i
\(389\) 11.6835 + 20.2364i 0.592376 + 1.02602i 0.993911 + 0.110182i \(0.0351432\pi\)
−0.401536 + 0.915843i \(0.631523\pi\)
\(390\) −15.1545 + 6.06717i −0.767380 + 0.307223i
\(391\) 3.58159 6.20350i 0.181129 0.313725i
\(392\) 39.8548 + 23.0102i 2.01297 + 1.16219i
\(393\) −1.56641 0.329883i −0.0790151 0.0166404i
\(394\) 0.904657 + 1.56691i 0.0455759 + 0.0789399i
\(395\) 4.03644i 0.203096i
\(396\) −52.7870 72.0849i −2.65264 3.62240i
\(397\) 31.2323i 1.56751i 0.621073 + 0.783753i \(0.286697\pi\)
−0.621073 + 0.783753i \(0.713303\pi\)
\(398\) −46.0982 + 26.6148i −2.31069 + 1.33408i
\(399\) 29.2468 32.6046i 1.46417 1.63227i
\(400\) 4.84434 8.39063i 0.242217 0.419532i
\(401\) 3.68676 + 2.12855i 0.184108 + 0.106295i 0.589221 0.807972i \(-0.299435\pi\)
−0.405113 + 0.914266i \(0.632768\pi\)
\(402\) −17.0727 52.2111i −0.851510 2.60405i
\(403\) 8.41415 17.0333i 0.419139 0.848489i
\(404\) 54.9704 2.73488
\(405\) 6.64294 6.07218i 0.330090 0.301729i
\(406\) −44.9207 −2.22938
\(407\) −8.79378 15.2313i −0.435891 0.754986i
\(408\) 31.6874 10.3616i 1.56876 0.512976i
\(409\) −19.0629 11.0060i −0.942600 0.544210i −0.0518255 0.998656i \(-0.516504\pi\)
−0.890774 + 0.454446i \(0.849837\pi\)
\(410\) −1.65303 0.954377i −0.0816373 0.0471333i
\(411\) −10.4092 9.33720i −0.513448 0.460570i
\(412\) 26.7195 + 46.2795i 1.31637 + 2.28003i
\(413\) 22.8288 1.12333
\(414\) −12.7662 17.4333i −0.627423 0.856798i
\(415\) 14.4310 0.708388
\(416\) −16.7945 + 33.9982i −0.823419 + 1.66690i
\(417\) 14.5456 + 3.06326i 0.712301 + 0.150009i
\(418\) 97.0439 + 56.0283i 4.74657 + 2.74044i
\(419\) −12.0760 + 20.9163i −0.589954 + 1.02183i 0.404284 + 0.914633i \(0.367521\pi\)
−0.994238 + 0.107196i \(0.965813\pi\)
\(420\) −29.7754 6.27062i −1.45289 0.305975i
\(421\) −10.0225 + 5.78650i −0.488467 + 0.282017i −0.723938 0.689865i \(-0.757670\pi\)
0.235471 + 0.971881i \(0.424337\pi\)
\(422\) 48.1319i 2.34303i
\(423\) 0.107076 0.242944i 0.00520620 0.0118124i
\(424\) 7.97488i 0.387294i
\(425\) 1.29981 + 2.25134i 0.0630502 + 0.109206i
\(426\) 13.5950 15.1558i 0.658678 0.734301i
\(427\) 16.4404 + 9.49187i 0.795607 + 0.459344i
\(428\) −7.16656 + 12.4128i −0.346409 + 0.599998i
\(429\) −23.7903 + 30.2526i −1.14861 + 1.46061i
\(430\) −5.27234 9.13195i −0.254255 0.440382i
\(431\) 11.7078i 0.563946i 0.959422 + 0.281973i \(0.0909888\pi\)
−0.959422 + 0.281973i \(0.909011\pi\)
\(432\) 4.98060 50.0968i 0.239629 2.41028i
\(433\) 7.62497 0.366433 0.183216 0.983073i \(-0.441349\pi\)
0.183216 + 0.983073i \(0.441349\pi\)
\(434\) 43.3616 25.0348i 2.08142 1.20171i
\(435\) 7.78242 2.54481i 0.373138 0.122014i
\(436\) 18.5165 + 10.6905i 0.886778 + 0.511981i
\(437\) 16.5996 + 9.58377i 0.794065 + 0.458454i
\(438\) −35.8480 + 39.9637i −1.71288 + 1.90954i
\(439\) −13.6599 23.6596i −0.651951 1.12921i −0.982649 0.185475i \(-0.940618\pi\)
0.330698 0.943737i \(-0.392716\pi\)
\(440\) 45.6299i 2.17532i
\(441\) 2.01862 + 18.5369i 0.0961249 + 0.882708i
\(442\) −13.5980 20.3806i −0.646792 0.969406i
\(443\) 6.74417 + 11.6812i 0.320425 + 0.554993i 0.980576 0.196141i \(-0.0628409\pi\)
−0.660151 + 0.751133i \(0.729508\pi\)
\(444\) 4.92266 23.3748i 0.233619 1.10932i
\(445\) −3.35910 + 5.81813i −0.159237 + 0.275806i
\(446\) 8.16806 14.1475i 0.386769 0.669903i
\(447\) −5.42608 + 25.7652i −0.256645 + 1.21865i
\(448\) −25.5439 + 14.7478i −1.20683 + 0.696766i
\(449\) 30.7327i 1.45037i 0.688555 + 0.725184i \(0.258245\pi\)
−0.688555 + 0.725184i \(0.741755\pi\)
\(450\) 7.79567 0.848932i 0.367492 0.0400190i
\(451\) −4.50021 −0.211906
\(452\) 12.4646 + 21.5893i 0.586285 + 1.01547i
\(453\) 5.61478 + 5.03653i 0.263805 + 0.236637i
\(454\) 1.14809 1.98855i 0.0538824 0.0933271i
\(455\) 0.848451 + 13.0798i 0.0397760 + 0.613191i
\(456\) 27.7260 + 84.7904i 1.29839 + 3.97068i
\(457\) 2.64079 1.52466i 0.123531 0.0713206i −0.436961 0.899480i \(-0.643945\pi\)
0.560492 + 0.828160i \(0.310612\pi\)
\(458\) −4.92974 −0.230351
\(459\) 10.9727 + 7.87823i 0.512164 + 0.367724i
\(460\) 13.3160i 0.620863i
\(461\) 27.0821 15.6358i 1.26134 0.728234i 0.288005 0.957629i \(-0.407008\pi\)
0.973333 + 0.229395i \(0.0736748\pi\)
\(462\) −96.4073 + 31.5246i −4.48527 + 1.46666i
\(463\) 17.3013 + 9.98890i 0.804059 + 0.464224i 0.844888 0.534942i \(-0.179667\pi\)
−0.0408295 + 0.999166i \(0.513000\pi\)
\(464\) 22.9006 39.6650i 1.06313 1.84140i
\(465\) −6.09405 + 6.79370i −0.282605 + 0.315050i
\(466\) 32.5929 18.8175i 1.50984 0.871706i
\(467\) 31.4527 1.45546 0.727730 0.685864i \(-0.240575\pi\)
0.727730 + 0.685864i \(0.240575\pi\)
\(468\) −51.4898 + 9.01079i −2.38012 + 0.416524i
\(469\) −44.1073 −2.03668
\(470\) 0.200335 0.115663i 0.00924076 0.00533516i
\(471\) 6.14072 + 1.29322i 0.282949 + 0.0595884i
\(472\) −23.2480 + 40.2668i −1.07008 + 1.85343i
\(473\) −21.5301 12.4304i −0.989955 0.571551i
\(474\) 3.76601 17.8825i 0.172979 0.821371i
\(475\) −6.02423 + 3.47809i −0.276411 + 0.159586i
\(476\) 45.6701i 2.09328i
\(477\) −2.60700 + 1.90907i −0.119366 + 0.0874105i
\(478\) −22.2293 −1.01674
\(479\) 14.5340 8.39124i 0.664077 0.383405i −0.129751 0.991547i \(-0.541418\pi\)
0.793829 + 0.608141i \(0.208085\pi\)
\(480\) 12.1636 13.5601i 0.555191 0.618932i
\(481\) −10.2681 + 0.666064i −0.468186 + 0.0303699i
\(482\) 18.4952 32.0346i 0.842434 1.45914i
\(483\) −16.4907 + 5.39236i −0.750352 + 0.245361i
\(484\) −65.1903 112.913i −2.96319 5.13240i
\(485\) 14.4553 0.656381
\(486\) 35.0953 20.7035i 1.59196 0.939129i
\(487\) 0.618958i 0.0280477i −0.999902 0.0140238i \(-0.995536\pi\)
0.999902 0.0140238i \(-0.00446407\pi\)
\(488\) −33.4846 + 19.3324i −1.51578 + 0.875135i
\(489\) −35.1284 + 11.4868i −1.58856 + 0.519450i
\(490\) −8.12339 + 14.0701i −0.366977 + 0.635623i
\(491\) 12.4718 21.6018i 0.562844 0.974875i −0.434403 0.900719i \(-0.643040\pi\)
0.997247 0.0741557i \(-0.0236262\pi\)
\(492\) −4.54991 4.08133i −0.205126 0.184001i
\(493\) 6.14460 + 10.6428i 0.276739 + 0.479326i
\(494\) 54.5352 36.3861i 2.45365 1.63709i
\(495\) 14.9164 10.9231i 0.670444 0.490959i
\(496\) 51.0510i 2.29226i
\(497\) −8.17395 14.1577i −0.366652 0.635060i
\(498\) 63.9330 + 13.4641i 2.86490 + 0.603341i
\(499\) −23.3837 13.5006i −1.04680 0.604370i −0.125048 0.992151i \(-0.539908\pi\)
−0.921752 + 0.387781i \(0.873242\pi\)
\(500\) 4.18514 + 2.41629i 0.187165 + 0.108060i
\(501\) −6.36911 + 30.2431i −0.284551 + 1.35116i
\(502\) −19.4192 + 11.2117i −0.866722 + 0.500402i
\(503\) −2.15400 −0.0960420 −0.0480210 0.998846i \(-0.515291\pi\)
−0.0480210 + 0.998846i \(0.515291\pi\)
\(504\) −73.8906 32.5667i −3.29135 1.45064i
\(505\) 11.3750i 0.506179i
\(506\) −22.1938 38.4409i −0.986636 1.70890i
\(507\) 9.70441 + 20.3181i 0.430988 + 0.902358i
\(508\) 38.7901 67.1865i 1.72103 2.98092i
\(509\) 3.67565 + 2.12214i 0.162921 + 0.0940622i 0.579243 0.815155i \(-0.303348\pi\)
−0.416323 + 0.909217i \(0.636681\pi\)
\(510\) 3.65801 + 11.1868i 0.161979 + 0.495359i
\(511\) 21.5535 + 37.3318i 0.953473 + 1.65146i
\(512\) 41.5755i 1.83739i
\(513\) −21.0809 + 29.3613i −0.930743 + 1.29633i
\(514\) 48.2417i 2.12785i
\(515\) −9.57656 + 5.52903i −0.421993 + 0.243638i
\(516\) −10.4945 32.0938i −0.461994 1.41285i
\(517\) 0.272696 0.472323i 0.0119931 0.0207727i
\(518\) −23.4853 13.5592i −1.03188 0.595758i
\(519\) 2.39001 2.66441i 0.104910 0.116954i
\(520\) −23.9350 11.8235i −1.04962 0.518493i
\(521\) 34.7429 1.52211 0.761057 0.648685i \(-0.224681\pi\)
0.761057 + 0.648685i \(0.224681\pi\)
\(522\) 36.8525 4.01315i 1.61299 0.175651i
\(523\) 21.9550 0.960023 0.480012 0.877262i \(-0.340632\pi\)
0.480012 + 0.877262i \(0.340632\pi\)
\(524\) −2.23315 3.86793i −0.0975557 0.168971i
\(525\) 1.29757 6.16139i 0.0566307 0.268905i
\(526\) −21.9421 12.6683i −0.956721 0.552363i
\(527\) −11.8627 6.84891i −0.516746 0.298343i
\(528\) 21.3122 101.199i 0.927496 4.40412i
\(529\) 7.70370 + 13.3432i 0.334943 + 0.580139i
\(530\) −2.81541 −0.122294
\(531\) −18.7285 + 2.03949i −0.812747 + 0.0885064i
\(532\) 122.206 5.29829
\(533\) −1.16608 + 2.36056i −0.0505085 + 0.102247i
\(534\) −20.3100 + 22.6418i −0.878901 + 0.979807i
\(535\) −2.56858 1.48297i −0.111049 0.0641143i
\(536\) 44.9173 77.7990i 1.94013 3.36040i
\(537\) −1.77157 5.41773i −0.0764487 0.233792i
\(538\) 65.6531 37.9048i 2.83051 1.63419i
\(539\) 38.3045i 1.64989i
\(540\) 24.9876 + 2.48426i 1.07530 + 0.106905i
\(541\) 30.3700i 1.30571i −0.757483 0.652854i \(-0.773571\pi\)
0.757483 0.652854i \(-0.226429\pi\)
\(542\) 1.14992 + 1.99172i 0.0493934 + 0.0855519i
\(543\) 1.68714 + 5.15955i 0.0724022 + 0.221417i
\(544\) 23.6777 + 13.6703i 1.01517 + 0.586110i
\(545\) −2.21217 + 3.83159i −0.0947589 + 0.164127i
\(546\) −8.44462 + 58.7386i −0.361397 + 2.51378i
\(547\) 3.69703 + 6.40344i 0.158073 + 0.273791i 0.934174 0.356818i \(-0.116138\pi\)
−0.776100 + 0.630609i \(0.782805\pi\)
\(548\) 39.0149i 1.66663i
\(549\) −14.3355 6.31826i −0.611825 0.269657i
\(550\) 16.1089 0.686887
\(551\) −28.4783 + 16.4420i −1.21322 + 0.700451i
\(552\) 7.28216 34.5786i 0.309949 1.47176i
\(553\) −12.7078 7.33686i −0.540392 0.311995i
\(554\) 43.8286 + 25.3044i 1.86210 + 1.07508i
\(555\) 4.83691 + 1.01864i 0.205316 + 0.0432389i
\(556\) 20.7369 + 35.9173i 0.879439 + 1.52323i
\(557\) 16.6062i 0.703627i −0.936070 0.351813i \(-0.885565\pi\)
0.936070 0.351813i \(-0.114435\pi\)
\(558\) −33.3368 + 24.4121i −1.41126 + 1.03345i
\(559\) −12.0991 + 8.07260i −0.511739 + 0.341435i
\(560\) −17.6107 30.5026i −0.744186 1.28897i
\(561\) 20.6563 + 18.5290i 0.872108 + 0.782293i
\(562\) −12.8315 + 22.2248i −0.541264 + 0.937496i
\(563\) −20.7656 + 35.9670i −0.875164 + 1.51583i −0.0185768 + 0.999827i \(0.505914\pi\)
−0.856588 + 0.516002i \(0.827420\pi\)
\(564\) 0.704068 0.230226i 0.0296466 0.00969427i
\(565\) −4.46745 + 2.57928i −0.187947 + 0.108511i
\(566\) 45.8393i 1.92677i
\(567\) −7.04228 31.9509i −0.295748 1.34181i
\(568\) 33.2962 1.39708
\(569\) 1.05781 + 1.83218i 0.0443456 + 0.0768088i 0.887346 0.461104i \(-0.152546\pi\)
−0.843001 + 0.537913i \(0.819213\pi\)
\(570\) −29.9340 + 9.78824i −1.25380 + 0.409984i
\(571\) 10.4408 18.0840i 0.436935 0.756793i −0.560517 0.828143i \(-0.689397\pi\)
0.997451 + 0.0713500i \(0.0227307\pi\)
\(572\) −107.155 + 6.95087i −4.48039 + 0.290630i
\(573\) −5.37872 + 5.99625i −0.224699 + 0.250497i
\(574\) −6.00928 + 3.46946i −0.250822 + 0.144812i
\(575\) 2.75547 0.114911
\(576\) 19.6384 14.3809i 0.818265 0.599206i
\(577\) 6.64046i 0.276446i 0.990401 + 0.138223i \(0.0441391\pi\)
−0.990401 + 0.138223i \(0.955861\pi\)
\(578\) 23.1849 13.3858i 0.964365 0.556776i
\(579\) 9.15303 43.4622i 0.380387 1.80623i
\(580\) 19.7844 + 11.4225i 0.821502 + 0.474294i
\(581\) 26.2305 45.4326i 1.08822 1.88486i
\(582\) 64.0408 + 13.4868i 2.65457 + 0.559046i
\(583\) −5.74850 + 3.31890i −0.238079 + 0.137455i
\(584\) −87.7974 −3.63308
\(585\) −1.86459 10.6547i −0.0770913 0.440519i
\(586\) 38.4121 1.58679
\(587\) −30.0109 + 17.3268i −1.23868 + 0.715153i −0.968825 0.247747i \(-0.920310\pi\)
−0.269857 + 0.962900i \(0.586976\pi\)
\(588\) −34.7392 + 38.7276i −1.43262 + 1.59710i
\(589\) 18.3266 31.7426i 0.755133 1.30793i
\(590\) −14.2156 8.20737i −0.585246 0.337892i
\(591\) −1.13952 + 0.372617i −0.0468737 + 0.0153274i
\(592\) 23.9456 13.8250i 0.984158 0.568204i
\(593\) 7.20317i 0.295799i −0.989002 0.147899i \(-0.952749\pi\)
0.989002 0.147899i \(-0.0472512\pi\)
\(594\) 76.2751 34.4753i 3.12961 1.41454i
\(595\) 9.45045 0.387431
\(596\) −63.6217 + 36.7320i −2.60605 + 1.50460i
\(597\) −10.9623 33.5245i −0.448658 1.37207i
\(598\) −25.9148 + 1.68102i −1.05973 + 0.0687421i
\(599\) −22.7142 + 39.3422i −0.928078 + 1.60748i −0.141544 + 0.989932i \(0.545207\pi\)
−0.786534 + 0.617547i \(0.788127\pi\)
\(600\) 9.54642 + 8.56327i 0.389731 + 0.349594i
\(601\) −4.07239 7.05359i −0.166116 0.287722i 0.770935 0.636914i \(-0.219789\pi\)
−0.937051 + 0.349192i \(0.886456\pi\)
\(602\) −38.3332 −1.56234
\(603\) 36.1851 3.94048i 1.47357 0.160469i
\(604\) 21.0448i 0.856302i
\(605\) 23.3649 13.4897i 0.949919 0.548436i
\(606\) −10.6129 + 50.3941i −0.431118 + 2.04712i
\(607\) −8.74616 + 15.1488i −0.354996 + 0.614871i −0.987117 0.159999i \(-0.948851\pi\)
0.632122 + 0.774869i \(0.282184\pi\)
\(608\) −36.5795 + 63.3576i −1.48350 + 2.56949i
\(609\) 6.13401 29.1267i 0.248563 1.18027i
\(610\) −6.82500 11.8212i −0.276336 0.478628i
\(611\) −0.177095 0.265428i −0.00716450 0.0107381i
\(612\) 4.08010 + 37.4672i 0.164928 + 1.51452i
\(613\) 5.29610i 0.213907i 0.994264 + 0.106954i \(0.0341097\pi\)
−0.994264 + 0.106954i \(0.965890\pi\)
\(614\) 24.4270 + 42.3089i 0.985795 + 1.70745i
\(615\) 0.844546 0.941508i 0.0340554 0.0379652i
\(616\) −143.655 82.9394i −5.78803 3.34172i
\(617\) 8.54310 + 4.93236i 0.343932 + 0.198569i 0.662010 0.749495i \(-0.269704\pi\)
−0.318077 + 0.948065i \(0.603037\pi\)
\(618\) −47.5853 + 15.5601i −1.91416 + 0.625919i
\(619\) −9.15285 + 5.28440i −0.367884 + 0.212398i −0.672534 0.740067i \(-0.734794\pi\)
0.304650 + 0.952464i \(0.401461\pi\)
\(620\) −25.4636 −1.02264
\(621\) 13.0470 5.89708i 0.523559 0.236642i
\(622\) 27.2575i 1.09292i
\(623\) 12.2114 + 21.1507i 0.489238 + 0.847385i
\(624\) −47.5612 37.4016i −1.90397 1.49726i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 51.3456 + 29.6444i 2.05218 + 1.18483i
\(627\) −49.5805 + 55.2728i −1.98005 + 2.20738i
\(628\) 8.75449 + 15.1632i 0.349342 + 0.605079i
\(629\) 7.41894i 0.295813i
\(630\) 11.4972 26.0860i 0.458059 1.03929i
\(631\) 33.9884i 1.35306i −0.736416 0.676529i \(-0.763483\pi\)
0.736416 0.676529i \(-0.236517\pi\)
\(632\) 25.8824 14.9432i 1.02955 0.594408i
\(633\) 31.2089 + 6.57251i 1.24044 + 0.261234i
\(634\) −12.8798 + 22.3085i −0.511524 + 0.885985i
\(635\) 13.9028 + 8.02679i 0.551716 + 0.318534i
\(636\) −8.82198 1.85789i −0.349814 0.0736699i
\(637\) 20.0925 + 9.92533i 0.796092 + 0.393256i
\(638\) 76.1518 3.01488
\(639\) 7.97065 + 10.8846i 0.315314 + 0.430587i
\(640\) 0.174071 0.00688078
\(641\) −2.29674 3.97808i −0.0907160 0.157125i 0.817097 0.576501i \(-0.195582\pi\)
−0.907813 + 0.419376i \(0.862249\pi\)
\(642\) −9.99586 8.96643i −0.394505 0.353877i
\(643\) −8.28480 4.78323i −0.326721 0.188632i 0.327664 0.944794i \(-0.393739\pi\)
−0.654384 + 0.756162i \(0.727072\pi\)
\(644\) −41.9225 24.2039i −1.65198 0.953769i
\(645\) 6.64113 2.17161i 0.261494 0.0855072i
\(646\) −23.6344 40.9359i −0.929882 1.61060i
\(647\) −33.0237 −1.29829 −0.649147 0.760663i \(-0.724874\pi\)
−0.649147 + 0.760663i \(0.724874\pi\)
\(648\) 63.5285 + 20.1161i 2.49563 + 0.790234i
\(649\) −38.7005 −1.51913
\(650\) 4.17410 8.44988i 0.163721 0.331432i
\(651\) 10.3115 + 31.5343i 0.404141 + 1.23593i
\(652\) −89.3030 51.5591i −3.49738 2.01921i
\(653\) 4.99775 8.65636i 0.195577 0.338749i −0.751512 0.659719i \(-0.770675\pi\)
0.947090 + 0.320969i \(0.104009\pi\)
\(654\) −13.3754 + 14.9110i −0.523019 + 0.583066i
\(655\) 0.800387 0.462103i 0.0312737 0.0180559i
\(656\) 7.07493i 0.276229i
\(657\) −21.0175 28.7011i −0.819969 1.11974i
\(658\) 0.840945i 0.0327835i
\(659\) −11.6181 20.1231i −0.452575 0.783883i 0.545970 0.837805i \(-0.316161\pi\)
−0.998545 + 0.0539217i \(0.982828\pi\)
\(660\) 50.4767 + 10.6303i 1.96480 + 0.413782i
\(661\) −13.3047 7.68148i −0.517494 0.298775i 0.218415 0.975856i \(-0.429911\pi\)
−0.735909 + 0.677081i \(0.763245\pi\)
\(662\) −28.8332 + 49.9406i −1.12064 + 1.94100i
\(663\) 15.0717 6.03399i 0.585335 0.234341i
\(664\) 53.4244 + 92.5338i 2.07327 + 3.59101i
\(665\) 25.2879i 0.980622i
\(666\) 20.4784 + 9.02570i 0.793522 + 0.349739i
\(667\) 13.0259 0.504366
\(668\) −74.6790 + 43.1159i −2.88942 + 1.66821i
\(669\) 8.05791 + 7.22806i 0.311537 + 0.279453i
\(670\) 27.4658 + 15.8574i 1.06110 + 0.612623i
\(671\) −27.8705 16.0911i −1.07593 0.621189i
\(672\) −20.5817 62.9420i −0.793955 2.42804i
\(673\) 5.89215 + 10.2055i 0.227126 + 0.393393i 0.956955 0.290236i \(-0.0937338\pi\)
−0.729829 + 0.683629i \(0.760400\pi\)
\(674\) 35.3243i 1.36064i
\(675\) −0.514064 + 5.17066i −0.0197863 + 0.199019i
\(676\) −24.1197 + 58.0090i −0.927680 + 2.23111i
\(677\) −10.6971 18.5280i −0.411125 0.712089i 0.583888 0.811834i \(-0.301531\pi\)
−0.995013 + 0.0997450i \(0.968197\pi\)
\(678\) −22.1984 + 7.25876i −0.852526 + 0.278771i
\(679\) 26.2747 45.5092i 1.00833 1.74648i
\(680\) −9.62400 + 16.6693i −0.369063 + 0.639237i
\(681\) 1.13261 + 1.01596i 0.0434015 + 0.0389318i
\(682\) −73.5086 + 42.4402i −2.81479 + 1.62512i
\(683\) 3.62401i 0.138669i 0.997593 + 0.0693344i \(0.0220876\pi\)
−0.997593 + 0.0693344i \(0.977912\pi\)
\(684\) −100.256 + 10.9177i −3.83339 + 0.417448i
\(685\) 8.07331 0.308465
\(686\) −3.72740 6.45604i −0.142313 0.246493i
\(687\) 0.673165 3.19646i 0.0256828 0.121952i
\(688\) 19.5423 33.8482i 0.745042 1.29045i
\(689\) 0.251382 + 3.87534i 0.00957691 + 0.147639i
\(690\) 12.2075 + 2.57086i 0.464730 + 0.0978709i
\(691\) 20.4725 11.8198i 0.778812 0.449647i −0.0571970 0.998363i \(-0.518216\pi\)
0.836009 + 0.548715i \(0.184883\pi\)
\(692\) 9.98650 0.379630
\(693\) −7.27606 66.8155i −0.276395 2.53811i
\(694\) 96.4687i 3.66190i
\(695\) −7.43232 + 4.29105i −0.281924 + 0.162769i
\(696\) 45.1288 + 40.4811i 1.71060 + 1.53443i
\(697\) 1.64399 + 0.949159i 0.0622706 + 0.0359519i
\(698\) −9.65181 + 16.7174i −0.365326 + 0.632764i
\(699\) 7.75072 + 23.7029i 0.293159 + 0.896527i
\(700\) 15.2143 8.78397i 0.575045 0.332003i
\(701\) −26.1353 −0.987118 −0.493559 0.869712i \(-0.664304\pi\)
−0.493559 + 0.869712i \(0.664304\pi\)
\(702\) 1.68025 48.9430i 0.0634170 1.84723i
\(703\) −19.8519 −0.748728
\(704\) 43.3032 25.0011i 1.63205 0.942264i
\(705\) 0.0476404 + 0.145692i 0.00179424 + 0.00548707i
\(706\) −4.22953 + 7.32576i −0.159180 + 0.275708i
\(707\) 35.8114 + 20.6757i 1.34683 + 0.777592i
\(708\) −39.1279 35.0983i −1.47052 1.31907i
\(709\) 21.0571 12.1573i 0.790816 0.456578i −0.0494339 0.998777i \(-0.515742\pi\)
0.840250 + 0.542200i \(0.182408\pi\)
\(710\) 11.7547i 0.441147i
\(711\) 11.0808 + 4.88378i 0.415563 + 0.183156i
\(712\) −49.7425 −1.86418
\(713\) −12.5738 + 7.25949i −0.470892 + 0.271870i
\(714\) 41.8680 + 8.81729i 1.56687 + 0.329979i
\(715\) −1.43833 22.1735i −0.0537907 0.829242i
\(716\) 7.95179 13.7729i 0.297172 0.514718i
\(717\) 3.03545 14.4135i 0.113361 0.538283i
\(718\) 1.10504 + 1.91399i 0.0412398 + 0.0714294i
\(719\) 24.1353 0.900094 0.450047 0.893005i \(-0.351407\pi\)
0.450047 + 0.893005i \(0.351407\pi\)
\(720\) 17.1726 + 23.4507i 0.639987 + 0.873954i
\(721\) 40.1995i 1.49711i
\(722\) 66.5273 38.4095i 2.47589 1.42945i
\(723\) 18.2458 + 16.3667i 0.678569 + 0.608686i
\(724\) −7.57285 + 13.1166i −0.281443 + 0.487473i
\(725\) −2.36365 + 4.09396i −0.0877837 + 0.152046i
\(726\) 116.099 37.9636i 4.30883 1.40896i
\(727\) −4.56624 7.90895i −0.169352 0.293327i 0.768840 0.639441i \(-0.220834\pi\)
−0.938192 + 0.346114i \(0.887501\pi\)
\(728\) −80.7290 + 53.8628i −2.99201 + 1.99629i
\(729\) 8.63185 + 25.5830i 0.319698 + 0.947519i
\(730\) 30.9956i 1.14720i
\(731\) 5.24350 + 9.08202i 0.193938 + 0.335911i
\(732\) −13.5850 41.5452i −0.502117 1.53555i
\(733\) 2.50974 + 1.44900i 0.0926995 + 0.0535201i 0.545633 0.838024i \(-0.316289\pi\)
−0.452934 + 0.891544i \(0.649623\pi\)
\(734\) 75.8128 + 43.7705i 2.79830 + 1.61560i
\(735\) −8.01385 7.18853i −0.295595 0.265153i
\(736\) 25.0971 14.4898i 0.925091 0.534102i
\(737\) 74.7727 2.75429
\(738\) 4.61999 3.38317i 0.170064 0.124536i
\(739\) 26.2975i 0.967370i 0.875242 + 0.483685i \(0.160702\pi\)
−0.875242 + 0.483685i \(0.839298\pi\)
\(740\) 6.89573 + 11.9437i 0.253492 + 0.439061i
\(741\) 16.1460 + 40.3293i 0.593138 + 1.48154i
\(742\) −5.11745 + 8.86368i −0.187867 + 0.325396i
\(743\) −42.4713 24.5208i −1.55812 0.899582i −0.997437 0.0715523i \(-0.977205\pi\)
−0.560685 0.828030i \(-0.689462\pi\)
\(744\) −66.1230 13.9253i −2.42419 0.510527i
\(745\) −7.60091 13.1652i −0.278476 0.482334i
\(746\) 28.7422i 1.05233i
\(747\) −17.4603 + 39.6158i −0.638840 + 1.44946i
\(748\) 77.4220i 2.83083i
\(749\) −9.33757 + 5.39105i −0.341187 + 0.196985i
\(750\) −3.02314 + 3.37022i −0.110389 + 0.123063i
\(751\) −5.50119 + 9.52833i −0.200741 + 0.347694i −0.948767 0.315975i \(-0.897668\pi\)
0.748026 + 0.663669i \(0.231002\pi\)
\(752\) 0.742555 + 0.428714i 0.0270782 + 0.0156336i
\(753\) −4.61796 14.1224i −0.168288 0.514651i
\(754\) 19.7322 39.9451i 0.718604 1.45471i
\(755\) −4.35478 −0.158487
\(756\) 53.2400 74.1523i 1.93632 2.69689i
\(757\) −44.9925 −1.63528 −0.817639 0.575731i \(-0.804718\pi\)
−0.817639 + 0.575731i \(0.804718\pi\)
\(758\) −31.6807 54.8725i −1.15069 1.99306i
\(759\) 27.9558 9.14138i 1.01473 0.331811i
\(760\) −44.6042 25.7523i −1.61797 0.934133i
\(761\) 1.61915 + 0.934817i 0.0586941 + 0.0338871i 0.529060 0.848584i \(-0.322545\pi\)
−0.470366 + 0.882472i \(0.655878\pi\)
\(762\) 54.1041 + 48.5322i 1.95999 + 1.75814i
\(763\) 8.04192 + 13.9290i 0.291137 + 0.504264i
\(764\) −22.4746 −0.813103
\(765\) −7.75304 + 0.844289i −0.280312 + 0.0305253i
\(766\) 4.40813 0.159272
\(767\) −10.0279 + 20.3002i −0.362088 + 0.732997i
\(768\) −26.7319 5.62967i −0.964605 0.203143i
\(769\) −33.3273 19.2415i −1.20181 0.693867i −0.240854 0.970561i \(-0.577428\pi\)
−0.960958 + 0.276695i \(0.910761\pi\)
\(770\) 29.2805 50.7153i 1.05520 1.82765i
\(771\) 31.2801 + 6.58750i 1.12652 + 0.237243i
\(772\) 107.321 61.9618i 3.86257 2.23005i
\(773\) 3.60526i 0.129672i −0.997896 0.0648360i \(-0.979348\pi\)
0.997896 0.0648360i \(-0.0206524\pi\)
\(774\) 31.4481 3.42463i 1.13038 0.123096i
\(775\) 5.26915i