Properties

Label 770.2.bv.a.537.29
Level $770$
Weight $2$
Character 770.537
Analytic conductor $6.148$
Analytic rank $0$
Dimension $768$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bv (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(48\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 537.29
Character \(\chi\) \(=\) 770.537
Dual form 770.2.bv.a.423.29

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0523360 - 0.998630i) q^{2} +(-0.798767 - 2.08086i) q^{3} +(-0.994522 - 0.104528i) q^{4} +(1.05151 + 1.97341i) q^{5} +(-2.11981 + 0.688769i) q^{6} +(-2.58843 - 0.547767i) q^{7} +(-0.156434 + 0.987688i) q^{8} +(-1.46252 + 1.31686i) q^{9} +O(q^{10})\) \(q+(0.0523360 - 0.998630i) q^{2} +(-0.798767 - 2.08086i) q^{3} +(-0.994522 - 0.104528i) q^{4} +(1.05151 + 1.97341i) q^{5} +(-2.11981 + 0.688769i) q^{6} +(-2.58843 - 0.547767i) q^{7} +(-0.156434 + 0.987688i) q^{8} +(-1.46252 + 1.31686i) q^{9} +(2.02573 - 0.946785i) q^{10} +(-3.30764 - 0.243981i) q^{11} +(0.576883 + 2.15296i) q^{12} +(-1.09645 + 0.558667i) q^{13} +(-0.682484 + 2.55621i) q^{14} +(3.26647 - 3.76433i) q^{15} +(0.978148 + 0.207912i) q^{16} +(0.404210 + 7.71279i) q^{17} +(1.23851 + 1.52943i) q^{18} +(-0.691534 - 6.57950i) q^{19} +(-0.839469 - 2.07251i) q^{20} +(0.927724 + 5.82369i) q^{21} +(-0.416755 + 3.29034i) q^{22} +(2.13119 + 7.95372i) q^{23} +(2.18020 - 0.463415i) q^{24} +(-2.78867 + 4.15010i) q^{25} +(0.500518 + 1.12418i) q^{26} +(-2.04950 - 1.04427i) q^{27} +(2.51699 + 0.815331i) q^{28} +(0.0506664 - 0.0697363i) q^{29} +(-3.58822 - 3.45901i) q^{30} +(1.46780 + 6.90545i) q^{31} +(0.258819 - 0.965926i) q^{32} +(2.13434 + 7.07762i) q^{33} +7.72338 q^{34} +(-1.64078 - 5.68400i) q^{35} +(1.59215 - 1.15677i) q^{36} +(-8.35863 - 3.20858i) q^{37} +(-6.60668 + 0.346241i) q^{38} +(2.03831 + 1.83531i) q^{39} +(-2.11360 + 0.729852i) q^{40} +(2.67042 + 3.67551i) q^{41} +(5.86426 - 0.621664i) q^{42} +(2.42512 - 2.42512i) q^{43} +(3.26402 + 0.588387i) q^{44} +(-4.13654 - 1.50146i) q^{45} +(8.05436 - 1.71201i) q^{46} +(-3.93579 - 3.18714i) q^{47} +(-0.348677 - 2.20146i) q^{48} +(6.39990 + 2.83571i) q^{49} +(3.99846 + 3.00205i) q^{50} +(15.7264 - 7.00183i) q^{51} +(1.14884 - 0.440997i) q^{52} +(-2.14960 + 3.31010i) q^{53} +(-1.15010 + 1.99204i) q^{54} +(-2.99653 - 6.78386i) q^{55} +(0.945942 - 2.47087i) q^{56} +(-13.1387 + 6.69448i) q^{57} +(-0.0669891 - 0.0542467i) q^{58} +(-0.587019 + 5.58511i) q^{59} +(-3.64206 + 3.40227i) q^{60} +(2.21078 - 10.4009i) q^{61} +(6.97280 - 1.10438i) q^{62} +(4.50695 - 2.60746i) q^{63} +(-0.951057 - 0.309017i) q^{64} +(-2.25540 - 1.57629i) q^{65} +(7.17962 - 1.76100i) q^{66} +(-3.22223 + 12.0255i) q^{67} +(0.404210 - 7.71279i) q^{68} +(14.8483 - 10.7879i) q^{69} +(-5.76208 + 1.34105i) q^{70} +(-3.42723 - 10.5479i) q^{71} +(-1.07185 - 1.65051i) q^{72} +(0.806350 - 0.652969i) q^{73} +(-3.64164 + 8.17925i) q^{74} +(10.8633 + 2.48786i) q^{75} +6.61574i q^{76} +(8.42793 + 2.44334i) q^{77} +(1.93947 - 1.93947i) q^{78} +(1.17312 - 1.05628i) q^{79} +(0.618234 + 2.14890i) q^{80} +(-1.15305 + 10.9705i) q^{81} +(3.81024 - 2.47440i) q^{82} +(1.33387 - 2.61787i) q^{83} +(-0.313900 - 5.88876i) q^{84} +(-14.7954 + 8.90772i) q^{85} +(-2.29488 - 2.54872i) q^{86} +(-0.185582 - 0.0497266i) q^{87} +(0.758406 - 3.22875i) q^{88} +(-4.13544 + 7.16280i) q^{89} +(-1.71589 + 4.05229i) q^{90} +(3.14409 - 0.845472i) q^{91} +(-1.28813 - 8.13292i) q^{92} +(13.1968 - 8.57013i) q^{93} +(-3.38876 + 3.76359i) q^{94} +(12.2569 - 8.28307i) q^{95} +(-2.21669 + 0.232984i) q^{96} +(-3.88182 - 7.61850i) q^{97} +(3.16677 - 6.24272i) q^{98} +(5.15876 - 3.99886i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q + 24 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 768 q + 24 q^{5} + 4 q^{7} + 24 q^{10} + 12 q^{11} - 24 q^{15} - 96 q^{16} + 8 q^{22} + 8 q^{23} + 16 q^{25} - 24 q^{26} - 28 q^{28} - 16 q^{30} + 252 q^{33} - 40 q^{35} + 160 q^{36} - 8 q^{37} - 44 q^{42} + 80 q^{43} + 96 q^{45} - 8 q^{46} - 24 q^{47} + 64 q^{50} - 8 q^{51} + 40 q^{53} + 16 q^{56} + 64 q^{57} - 48 q^{58} - 164 q^{63} - 88 q^{65} + 32 q^{67} - 100 q^{70} + 32 q^{71} + 120 q^{73} - 336 q^{75} - 96 q^{77} - 36 q^{80} - 24 q^{81} + 48 q^{82} - 112 q^{85} - 24 q^{87} + 4 q^{88} - 12 q^{91} - 16 q^{92} - 88 q^{93} - 44 q^{95} + 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{3}{5}\right)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0523360 0.998630i 0.0370071 0.706138i
\(3\) −0.798767 2.08086i −0.461169 1.20139i −0.945246 0.326360i \(-0.894178\pi\)
0.484077 0.875025i \(-0.339155\pi\)
\(4\) −0.994522 0.104528i −0.497261 0.0522642i
\(5\) 1.05151 + 1.97341i 0.470248 + 0.882534i
\(6\) −2.11981 + 0.688769i −0.865410 + 0.281189i
\(7\) −2.58843 0.547767i −0.978333 0.207037i
\(8\) −0.156434 + 0.987688i −0.0553079 + 0.349201i
\(9\) −1.46252 + 1.31686i −0.487505 + 0.438952i
\(10\) 2.02573 0.946785i 0.640593 0.299400i
\(11\) −3.30764 0.243981i −0.997291 0.0735631i
\(12\) 0.576883 + 2.15296i 0.166532 + 0.621505i
\(13\) −1.09645 + 0.558667i −0.304099 + 0.154946i −0.599381 0.800464i \(-0.704587\pi\)
0.295282 + 0.955410i \(0.404587\pi\)
\(14\) −0.682484 + 2.55621i −0.182402 + 0.683176i
\(15\) 3.26647 3.76433i 0.843400 0.971946i
\(16\) 0.978148 + 0.207912i 0.244537 + 0.0519779i
\(17\) 0.404210 + 7.71279i 0.0980354 + 1.87063i 0.398946 + 0.916974i \(0.369376\pi\)
−0.300911 + 0.953652i \(0.597291\pi\)
\(18\) 1.23851 + 1.52943i 0.291919 + 0.360490i
\(19\) −0.691534 6.57950i −0.158649 1.50944i −0.726990 0.686648i \(-0.759081\pi\)
0.568341 0.822793i \(-0.307585\pi\)
\(20\) −0.839469 2.07251i −0.187711 0.463427i
\(21\) 0.927724 + 5.82369i 0.202446 + 1.27083i
\(22\) −0.416755 + 3.29034i −0.0888525 + 0.701502i
\(23\) 2.13119 + 7.95372i 0.444385 + 1.65847i 0.717556 + 0.696501i \(0.245261\pi\)
−0.273171 + 0.961965i \(0.588073\pi\)
\(24\) 2.18020 0.463415i 0.445031 0.0945942i
\(25\) −2.78867 + 4.15010i −0.557734 + 0.830020i
\(26\) 0.500518 + 1.12418i 0.0981597 + 0.220470i
\(27\) −2.04950 1.04427i −0.394426 0.200970i
\(28\) 2.51699 + 0.815331i 0.475666 + 0.154083i
\(29\) 0.0506664 0.0697363i 0.00940852 0.0129497i −0.804287 0.594241i \(-0.797452\pi\)
0.813695 + 0.581292i \(0.197452\pi\)
\(30\) −3.58822 3.45901i −0.655116 0.631526i
\(31\) 1.46780 + 6.90545i 0.263624 + 1.24025i 0.888261 + 0.459339i \(0.151914\pi\)
−0.624637 + 0.780915i \(0.714753\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) 2.13434 + 7.07762i 0.371542 + 1.23206i
\(34\) 7.72338 1.32455
\(35\) −1.64078 5.68400i −0.277342 0.960771i
\(36\) 1.59215 1.15677i 0.265359 0.192795i
\(37\) −8.35863 3.20858i −1.37415 0.527487i −0.444449 0.895804i \(-0.646601\pi\)
−0.929700 + 0.368317i \(0.879934\pi\)
\(38\) −6.60668 + 0.346241i −1.07174 + 0.0561678i
\(39\) 2.03831 + 1.83531i 0.326392 + 0.293884i
\(40\) −2.11360 + 0.729852i −0.334190 + 0.115400i
\(41\) 2.67042 + 3.67551i 0.417049 + 0.574019i 0.964920 0.262544i \(-0.0845615\pi\)
−0.547871 + 0.836563i \(0.684561\pi\)
\(42\) 5.86426 0.621664i 0.904876 0.0959248i
\(43\) 2.42512 2.42512i 0.369827 0.369827i −0.497587 0.867414i \(-0.665780\pi\)
0.867414 + 0.497587i \(0.165780\pi\)
\(44\) 3.26402 + 0.588387i 0.492069 + 0.0887027i
\(45\) −4.13654 1.50146i −0.616639 0.223824i
\(46\) 8.05436 1.71201i 1.18755 0.252422i
\(47\) −3.93579 3.18714i −0.574094 0.464892i 0.297772 0.954637i \(-0.403757\pi\)
−0.871866 + 0.489745i \(0.837090\pi\)
\(48\) −0.348677 2.20146i −0.0503272 0.317754i
\(49\) 6.39990 + 2.83571i 0.914272 + 0.405102i
\(50\) 3.99846 + 3.00205i 0.565468 + 0.424553i
\(51\) 15.7264 7.00183i 2.20213 0.980453i
\(52\) 1.14884 0.440997i 0.159315 0.0611553i
\(53\) −2.14960 + 3.31010i −0.295271 + 0.454677i −0.954906 0.296909i \(-0.904044\pi\)
0.659635 + 0.751586i \(0.270711\pi\)
\(54\) −1.15010 + 1.99204i −0.156509 + 0.271082i
\(55\) −2.99653 6.78386i −0.404052 0.914736i
\(56\) 0.945942 2.47087i 0.126407 0.330184i
\(57\) −13.1387 + 6.69448i −1.74026 + 0.886705i
\(58\) −0.0669891 0.0542467i −0.00879610 0.00712294i
\(59\) −0.587019 + 5.58511i −0.0764233 + 0.727119i 0.887476 + 0.460853i \(0.152457\pi\)
−0.963900 + 0.266266i \(0.914210\pi\)
\(60\) −3.64206 + 3.40227i −0.470188 + 0.439231i
\(61\) 2.21078 10.4009i 0.283061 1.33170i −0.575000 0.818153i \(-0.694998\pi\)
0.858062 0.513546i \(-0.171669\pi\)
\(62\) 6.97280 1.10438i 0.885547 0.140257i
\(63\) 4.50695 2.60746i 0.567822 0.328510i
\(64\) −0.951057 0.309017i −0.118882 0.0386271i
\(65\) −2.25540 1.57629i −0.279748 0.195515i
\(66\) 7.17962 1.76100i 0.883750 0.216765i
\(67\) −3.22223 + 12.0255i −0.393658 + 1.46915i 0.430397 + 0.902640i \(0.358374\pi\)
−0.824054 + 0.566511i \(0.808293\pi\)
\(68\) 0.404210 7.71279i 0.0490177 0.935313i
\(69\) 14.8483 10.7879i 1.78752 1.29871i
\(70\) −5.76208 + 1.34105i −0.688700 + 0.160287i
\(71\) −3.42723 10.5479i −0.406737 1.25181i −0.919436 0.393239i \(-0.871354\pi\)
0.512699 0.858568i \(-0.328646\pi\)
\(72\) −1.07185 1.65051i −0.126319 0.194515i
\(73\) 0.806350 0.652969i 0.0943761 0.0764242i −0.580971 0.813924i \(-0.697327\pi\)
0.675347 + 0.737500i \(0.263994\pi\)
\(74\) −3.64164 + 8.17925i −0.423332 + 0.950818i
\(75\) 10.8633 + 2.48786i 1.25438 + 0.287274i
\(76\) 6.61574i 0.758878i
\(77\) 8.42793 + 2.44334i 0.960452 + 0.278445i
\(78\) 1.93947 1.93947i 0.219602 0.219602i
\(79\) 1.17312 1.05628i 0.131986 0.118841i −0.600494 0.799629i \(-0.705029\pi\)
0.732480 + 0.680788i \(0.238363\pi\)
\(80\) 0.618234 + 2.14890i 0.0691207 + 0.240255i
\(81\) −1.15305 + 10.9705i −0.128117 + 1.21895i
\(82\) 3.81024 2.47440i 0.420770 0.273251i
\(83\) 1.33387 2.61787i 0.146411 0.287348i −0.806141 0.591724i \(-0.798448\pi\)
0.952552 + 0.304375i \(0.0984477\pi\)
\(84\) −0.313900 5.88876i −0.0342493 0.642517i
\(85\) −14.7954 + 8.90772i −1.60479 + 0.966178i
\(86\) −2.29488 2.54872i −0.247463 0.274835i
\(87\) −0.185582 0.0497266i −0.0198965 0.00533125i
\(88\) 0.758406 3.22875i 0.0808463 0.344186i
\(89\) −4.13544 + 7.16280i −0.438356 + 0.759255i −0.997563 0.0697732i \(-0.977772\pi\)
0.559207 + 0.829028i \(0.311106\pi\)
\(90\) −1.71589 + 4.05229i −0.180871 + 0.427149i
\(91\) 3.14409 0.845472i 0.329590 0.0886295i
\(92\) −1.28813 8.13292i −0.134297 0.847916i
\(93\) 13.1968 8.57013i 1.36845 0.888681i
\(94\) −3.38876 + 3.76359i −0.349523 + 0.388185i
\(95\) 12.2569 8.28307i 1.25753 0.849825i
\(96\) −2.21669 + 0.232984i −0.226240 + 0.0237788i
\(97\) −3.88182 7.61850i −0.394139 0.773541i 0.605614 0.795758i \(-0.292927\pi\)
−0.999753 + 0.0222171i \(0.992927\pi\)
\(98\) 3.16677 6.24272i 0.319892 0.630610i
\(99\) 5.15876 3.99886i 0.518475 0.401900i
\(100\) 3.20719 3.83587i 0.320719 0.383587i
\(101\) −2.70910 12.7453i −0.269565 1.26820i −0.879556 0.475796i \(-0.842160\pi\)
0.609991 0.792409i \(-0.291173\pi\)
\(102\) −6.16918 16.0713i −0.610840 1.59129i
\(103\) −2.49890 0.959239i −0.246224 0.0945166i 0.232126 0.972686i \(-0.425432\pi\)
−0.478350 + 0.878169i \(0.658765\pi\)
\(104\) −0.380267 1.17034i −0.0372883 0.114761i
\(105\) −10.5170 + 7.95443i −1.02635 + 0.776273i
\(106\) 3.19306 + 2.31990i 0.310138 + 0.225328i
\(107\) −6.53172 + 8.06601i −0.631446 + 0.779770i −0.987992 0.154507i \(-0.950621\pi\)
0.356546 + 0.934278i \(0.383954\pi\)
\(108\) 1.92912 + 1.25278i 0.185629 + 0.120549i
\(109\) −6.64522 + 3.83662i −0.636497 + 0.367482i −0.783264 0.621689i \(-0.786447\pi\)
0.146767 + 0.989171i \(0.453113\pi\)
\(110\) −6.93139 + 2.63738i −0.660882 + 0.251465i
\(111\) 19.9560i 1.89414i
\(112\) −2.41798 1.07396i −0.228477 0.101480i
\(113\) −0.944760 + 5.96498i −0.0888756 + 0.561138i 0.902562 + 0.430559i \(0.141684\pi\)
−0.991438 + 0.130579i \(0.958316\pi\)
\(114\) 5.99768 + 13.4710i 0.561734 + 1.26168i
\(115\) −13.4550 + 12.5691i −1.25468 + 1.17208i
\(116\) −0.0576783 + 0.0640582i −0.00535529 + 0.00594766i
\(117\) 0.867886 2.26092i 0.0802361 0.209022i
\(118\) 5.54673 + 0.878516i 0.510618 + 0.0808740i
\(119\) 3.17855 20.1854i 0.291377 1.85039i
\(120\) 3.20700 + 3.81513i 0.292757 + 0.348272i
\(121\) 10.8809 + 1.61400i 0.989177 + 0.146728i
\(122\) −10.2709 2.75209i −0.929888 0.249163i
\(123\) 5.51519 8.49265i 0.497288 0.765756i
\(124\) −0.737941 7.02104i −0.0662691 0.630508i
\(125\) −11.1221 1.13932i −0.994794 0.101904i
\(126\) −2.36802 4.63723i −0.210960 0.413118i
\(127\) −6.53232 + 12.8204i −0.579650 + 1.13763i 0.395991 + 0.918254i \(0.370401\pi\)
−0.975641 + 0.219373i \(0.929599\pi\)
\(128\) −0.358368 + 0.933580i −0.0316756 + 0.0825176i
\(129\) −6.98344 3.10923i −0.614858 0.273752i
\(130\) −1.69217 + 2.16981i −0.148413 + 0.190305i
\(131\) −6.71345 3.87601i −0.586557 0.338649i 0.177178 0.984179i \(-0.443303\pi\)
−0.763735 + 0.645530i \(0.776636\pi\)
\(132\) −1.38284 7.26195i −0.120361 0.632071i
\(133\) −1.81405 + 17.4094i −0.157298 + 1.50958i
\(134\) 11.8404 + 3.84718i 1.02285 + 0.332346i
\(135\) −0.0942885 5.14255i −0.00811506 0.442601i
\(136\) −7.68107 0.807313i −0.658646 0.0692265i
\(137\) −14.3782 + 0.753529i −1.22841 + 0.0643783i −0.655472 0.755219i \(-0.727530\pi\)
−0.572940 + 0.819598i \(0.694197\pi\)
\(138\) −9.99601 15.3925i −0.850917 1.31030i
\(139\) −2.50567 1.82047i −0.212528 0.154410i 0.476429 0.879213i \(-0.341931\pi\)
−0.688957 + 0.724803i \(0.741931\pi\)
\(140\) 1.03765 + 5.82437i 0.0876976 + 0.492249i
\(141\) −3.48821 + 10.7356i −0.293760 + 0.904102i
\(142\) −10.7128 + 2.87049i −0.899001 + 0.240886i
\(143\) 3.76295 1.58036i 0.314674 0.132156i
\(144\) −1.70435 + 0.984005i −0.142029 + 0.0820004i
\(145\) 0.190894 + 0.0266572i 0.0158529 + 0.00221376i
\(146\) −0.609873 0.839418i −0.0504735 0.0694708i
\(147\) 0.788684 15.5824i 0.0650496 1.28521i
\(148\) 7.97745 + 4.06471i 0.655742 + 0.334117i
\(149\) −2.39566 + 11.2707i −0.196260 + 0.923331i 0.764214 + 0.644962i \(0.223127\pi\)
−0.960474 + 0.278368i \(0.910206\pi\)
\(150\) 3.05299 10.7182i 0.249276 0.875136i
\(151\) −5.20294 2.31650i −0.423409 0.188514i 0.183960 0.982934i \(-0.441108\pi\)
−0.607369 + 0.794420i \(0.707775\pi\)
\(152\) 6.60668 + 0.346241i 0.535872 + 0.0280839i
\(153\) −10.7478 10.7478i −0.868908 0.868908i
\(154\) 2.88108 8.28851i 0.232164 0.667907i
\(155\) −12.0839 + 10.1577i −0.970598 + 0.815885i
\(156\) −1.83531 2.03831i −0.146942 0.163196i
\(157\) 2.32996 0.894389i 0.185951 0.0713800i −0.263611 0.964629i \(-0.584913\pi\)
0.449562 + 0.893249i \(0.351580\pi\)
\(158\) −0.993437 1.22679i −0.0790336 0.0975983i
\(159\) 8.60489 + 1.82903i 0.682412 + 0.145051i
\(160\) 2.17831 0.504922i 0.172211 0.0399176i
\(161\) −1.15965 21.7550i −0.0913931 1.71454i
\(162\) 10.8952 + 1.72562i 0.856004 + 0.135578i
\(163\) −19.6411 1.02935i −1.53841 0.0806247i −0.735829 0.677168i \(-0.763207\pi\)
−0.802581 + 0.596543i \(0.796541\pi\)
\(164\) −2.27159 3.93451i −0.177382 0.307234i
\(165\) −11.7227 + 11.6541i −0.912614 + 0.907270i
\(166\) −2.54447 1.46905i −0.197489 0.114020i
\(167\) −2.25840 4.43236i −0.174760 0.342986i 0.786967 0.616995i \(-0.211650\pi\)
−0.961727 + 0.274009i \(0.911650\pi\)
\(168\) −5.89712 + 0.00527548i −0.454973 + 0.000407012i
\(169\) −6.75112 + 9.29212i −0.519317 + 0.714779i
\(170\) 8.12118 + 15.2414i 0.622866 + 1.16896i
\(171\) 9.67563 + 8.71198i 0.739914 + 0.666222i
\(172\) −2.66533 + 2.15834i −0.203229 + 0.164572i
\(173\) 3.87708 4.78779i 0.294769 0.364009i −0.608149 0.793823i \(-0.708088\pi\)
0.902917 + 0.429814i \(0.141421\pi\)
\(174\) −0.0593711 + 0.182725i −0.00450091 + 0.0138524i
\(175\) 9.49155 9.21469i 0.717494 0.696565i
\(176\) −3.18463 0.926346i −0.240051 0.0698260i
\(177\) 12.0907 3.23970i 0.908795 0.243511i
\(178\) 6.93655 + 4.50465i 0.519916 + 0.337638i
\(179\) −6.14209 + 13.7954i −0.459081 + 1.03111i 0.524626 + 0.851333i \(0.324205\pi\)
−0.983707 + 0.179780i \(0.942461\pi\)
\(180\) 3.95693 + 1.92562i 0.294932 + 0.143527i
\(181\) 9.00581 2.92617i 0.669397 0.217500i 0.0454494 0.998967i \(-0.485528\pi\)
0.623947 + 0.781466i \(0.285528\pi\)
\(182\) −0.679764 3.18403i −0.0503875 0.236016i
\(183\) −23.4087 + 3.70758i −1.73042 + 0.274072i
\(184\) −8.18919 + 0.860719i −0.603715 + 0.0634530i
\(185\) −2.45732 19.8688i −0.180666 1.46078i
\(186\) −7.86771 13.6273i −0.576889 0.999201i
\(187\) 0.544794 25.6097i 0.0398393 1.87277i
\(188\) 3.58108 + 3.58108i 0.261177 + 0.261177i
\(189\) 4.73296 + 3.82567i 0.344272 + 0.278277i
\(190\) −7.63024 12.6736i −0.553556 0.919439i
\(191\) 11.1487 4.96370i 0.806688 0.359161i 0.0383982 0.999263i \(-0.487774\pi\)
0.768290 + 0.640102i \(0.221108\pi\)
\(192\) 0.116652 + 2.22585i 0.00841862 + 0.160637i
\(193\) 0.224873 + 4.29083i 0.0161867 + 0.308861i 0.994710 + 0.102724i \(0.0327558\pi\)
−0.978523 + 0.206137i \(0.933911\pi\)
\(194\) −7.81122 + 3.47778i −0.560813 + 0.249690i
\(195\) −1.47851 + 5.95226i −0.105878 + 0.426250i
\(196\) −6.06843 3.48915i −0.433459 0.249225i
\(197\) 6.36388 + 6.36388i 0.453408 + 0.453408i 0.896484 0.443076i \(-0.146113\pi\)
−0.443076 + 0.896484i \(0.646113\pi\)
\(198\) −3.72339 5.36098i −0.264610 0.380988i
\(199\) −12.5918 21.8097i −0.892612 1.54605i −0.836733 0.547611i \(-0.815537\pi\)
−0.0558787 0.998438i \(-0.517796\pi\)
\(200\) −3.66276 3.40355i −0.258996 0.240668i
\(201\) 27.5972 2.90059i 1.94656 0.204592i
\(202\) −12.8696 + 2.03835i −0.905503 + 0.143418i
\(203\) −0.169346 + 0.152754i −0.0118857 + 0.0107212i
\(204\) −16.3721 + 5.31962i −1.14628 + 0.372448i
\(205\) −4.44532 + 9.13465i −0.310475 + 0.637991i
\(206\) −1.08871 + 2.44527i −0.0758538 + 0.170370i
\(207\) −13.5908 8.82598i −0.944627 0.613448i
\(208\) −1.18864 + 0.318495i −0.0824173 + 0.0220837i
\(209\) 0.682069 + 21.9313i 0.0471797 + 1.51702i
\(210\) 7.39311 + 10.9189i 0.510173 + 0.753475i
\(211\) 0.704694 2.16883i 0.0485132 0.149308i −0.923865 0.382718i \(-0.874988\pi\)
0.972379 + 0.233409i \(0.0749882\pi\)
\(212\) 2.48383 3.06727i 0.170590 0.210661i
\(213\) −19.2112 + 15.5569i −1.31633 + 1.06594i
\(214\) 7.71311 + 6.94492i 0.527257 + 0.474745i
\(215\) 7.33578 + 2.23572i 0.500296 + 0.152475i
\(216\) 1.35203 1.86091i 0.0919938 0.126619i
\(217\) −0.0167093 18.6782i −0.00113430 1.26796i
\(218\) 3.48358 + 6.83691i 0.235938 + 0.463054i
\(219\) −2.00282 1.15633i −0.135338 0.0781376i
\(220\) 2.27101 + 7.05992i 0.153111 + 0.475980i
\(221\) −4.75208 8.23084i −0.319659 0.553666i
\(222\) 19.9287 + 1.04442i 1.33753 + 0.0700968i
\(223\) 3.23067 + 0.511688i 0.216342 + 0.0342652i 0.263664 0.964615i \(-0.415069\pi\)
−0.0473226 + 0.998880i \(0.515069\pi\)
\(224\) −1.19904 + 2.35846i −0.0801140 + 0.157581i
\(225\) −1.38661 9.74186i −0.0924407 0.649457i
\(226\) 5.90736 + 1.25565i 0.392952 + 0.0835245i
\(227\) 7.98301 + 9.85819i 0.529851 + 0.654311i 0.969854 0.243685i \(-0.0783562\pi\)
−0.440004 + 0.897996i \(0.645023\pi\)
\(228\) 13.7664 5.28444i 0.911705 0.349971i
\(229\) 14.7752 + 16.4095i 0.976371 + 1.08437i 0.996417 + 0.0845707i \(0.0269519\pi\)
−0.0200466 + 0.999799i \(0.506381\pi\)
\(230\) 11.8477 + 14.0943i 0.781214 + 0.929354i
\(231\) −1.64770 19.4890i −0.108411 1.28228i
\(232\) 0.0609518 + 0.0609518i 0.00400168 + 0.00400168i
\(233\) 28.5545 + 1.49648i 1.87067 + 0.0980377i 0.953671 0.300851i \(-0.0972706\pi\)
0.916999 + 0.398888i \(0.130604\pi\)
\(234\) −2.21240 0.985024i −0.144629 0.0643931i
\(235\) 2.15101 11.1182i 0.140317 0.725272i
\(236\) 1.16761 5.49315i 0.0760047 0.357574i
\(237\) −3.13502 1.59737i −0.203641 0.103761i
\(238\) −19.9914 4.23061i −1.29585 0.274230i
\(239\) −5.17261 7.11949i −0.334588 0.460522i 0.608263 0.793736i \(-0.291867\pi\)
−0.942851 + 0.333214i \(0.891867\pi\)
\(240\) 3.97774 3.00293i 0.256762 0.193839i
\(241\) 3.06616 1.77025i 0.197509 0.114032i −0.397984 0.917392i \(-0.630290\pi\)
0.595493 + 0.803361i \(0.296957\pi\)
\(242\) 2.18126 10.7816i 0.140216 0.693065i
\(243\) 17.0837 4.57756i 1.09592 0.293651i
\(244\) −3.28586 + 10.1128i −0.210356 + 0.647408i
\(245\) 1.13353 + 15.6114i 0.0724185 + 0.997374i
\(246\) −8.19237 5.95210i −0.522326 0.379492i
\(247\) 4.43398 + 6.82773i 0.282128 + 0.434438i
\(248\) −7.05004 + 0.369477i −0.447678 + 0.0234618i
\(249\) −6.51287 0.684530i −0.412736 0.0433803i
\(250\) −1.71984 + 11.0473i −0.108773 + 0.698691i
\(251\) 8.37125 + 2.71998i 0.528388 + 0.171684i 0.561049 0.827783i \(-0.310398\pi\)
−0.0326605 + 0.999467i \(0.510398\pi\)
\(252\) −4.75481 + 2.12208i −0.299525 + 0.133678i
\(253\) −5.10866 26.8280i −0.321179 1.68666i
\(254\) 12.4610 + 7.19434i 0.781870 + 0.451413i
\(255\) 30.3538 + 23.6721i 1.90083 + 1.48240i
\(256\) 0.913545 + 0.406737i 0.0570966 + 0.0254210i
\(257\) 3.48731 9.08476i 0.217533 0.566692i −0.780777 0.624810i \(-0.785177\pi\)
0.998310 + 0.0581179i \(0.0185099\pi\)
\(258\) −3.47045 + 6.81115i −0.216061 + 0.424044i
\(259\) 19.8781 + 12.8837i 1.23517 + 0.800557i
\(260\) 2.07828 + 1.80341i 0.128889 + 0.111843i
\(261\) 0.0177322 + 0.168711i 0.00109760 + 0.0104429i
\(262\) −4.22205 + 6.50139i −0.260839 + 0.401657i
\(263\) 18.6269 + 4.99105i 1.14858 + 0.307762i 0.782397 0.622780i \(-0.213997\pi\)
0.366185 + 0.930542i \(0.380664\pi\)
\(264\) −7.32437 + 1.00088i −0.450784 + 0.0616001i
\(265\) −8.79250 0.761452i −0.540119 0.0467756i
\(266\) 17.2906 + 2.72270i 1.06015 + 0.166940i
\(267\) 18.2080 + 2.88387i 1.11431 + 0.176490i
\(268\) 4.46158 11.6228i 0.272535 0.709977i
\(269\) 20.2850 22.5288i 1.23680 1.37360i 0.334554 0.942377i \(-0.391414\pi\)
0.902244 0.431226i \(-0.141919\pi\)
\(270\) −5.14044 0.174981i −0.312837 0.0106490i
\(271\) 5.18094 + 11.6366i 0.314720 + 0.706872i 0.999766 0.0216276i \(-0.00688480\pi\)
−0.685046 + 0.728499i \(0.740218\pi\)
\(272\) −1.20820 + 7.62829i −0.0732580 + 0.462533i
\(273\) −4.27071 5.86708i −0.258475 0.355092i
\(274\) 14.3979i 0.869810i
\(275\) 10.2365 13.0466i 0.617281 0.786743i
\(276\) −15.8946 + 9.17673i −0.956740 + 0.552374i
\(277\) −22.8007 14.8070i −1.36996 0.889665i −0.370727 0.928742i \(-0.620892\pi\)
−0.999236 + 0.0390769i \(0.987558\pi\)
\(278\) −1.94911 + 2.40696i −0.116900 + 0.144360i
\(279\) −11.2402 8.16645i −0.672930 0.488912i
\(280\) 5.87069 0.731406i 0.350841 0.0437098i
\(281\) −0.163707 0.503839i −0.00976596 0.0300565i 0.946055 0.324007i \(-0.105030\pi\)
−0.955821 + 0.293950i \(0.905030\pi\)
\(282\) 10.5383 + 4.04529i 0.627549 + 0.240894i
\(283\) 4.74183 + 12.3529i 0.281872 + 0.734303i 0.999291 + 0.0376599i \(0.0119904\pi\)
−0.717418 + 0.696643i \(0.754676\pi\)
\(284\) 2.30589 + 10.8484i 0.136830 + 0.643733i
\(285\) −27.0263 18.8886i −1.60090 1.11887i
\(286\) −1.38125 3.84050i −0.0816753 0.227094i
\(287\) −4.89885 10.9766i −0.289170 0.647926i
\(288\) 0.893458 + 1.75351i 0.0526475 + 0.103327i
\(289\) −42.4169 + 4.45819i −2.49511 + 0.262247i
\(290\) 0.0366113 0.189237i 0.00214989 0.0111124i
\(291\) −12.7524 + 14.1629i −0.747557 + 0.830246i
\(292\) −0.870186 + 0.565106i −0.0509238 + 0.0330703i
\(293\) −3.51049 22.1643i −0.205085 1.29486i −0.848442 0.529289i \(-0.822459\pi\)
0.643357 0.765566i \(-0.277541\pi\)
\(294\) −15.5197 1.60312i −0.905130 0.0934960i
\(295\) −11.6389 + 4.71435i −0.677646 + 0.274480i
\(296\) 4.47665 7.75379i 0.260200 0.450680i
\(297\) 6.52422 + 3.95411i 0.378574 + 0.229441i
\(298\) 11.1299 + 2.98224i 0.644736 + 0.172756i
\(299\) −6.78023 7.53020i −0.392111 0.435483i
\(300\) −10.5437 3.60976i −0.608742 0.208409i
\(301\) −7.60565 + 4.94884i −0.438382 + 0.285247i
\(302\) −2.58563 + 5.07458i −0.148786 + 0.292009i
\(303\) −24.3572 + 15.8178i −1.39929 + 0.908708i
\(304\) 0.691534 6.57950i 0.0396622 0.377360i
\(305\) 22.8499 6.57385i 1.30838 0.376418i
\(306\) −11.2956 + 10.1706i −0.645724 + 0.581413i
\(307\) 5.25416 5.25416i 0.299871 0.299871i −0.541092 0.840963i \(-0.681989\pi\)
0.840963 + 0.541092i \(0.181989\pi\)
\(308\) −8.12637 3.31092i −0.463043 0.188657i
\(309\) 5.96608i 0.339398i
\(310\) 9.51134 + 12.5989i 0.540208 + 0.715570i
\(311\) 3.92391 8.81324i 0.222504 0.499753i −0.767455 0.641102i \(-0.778477\pi\)
0.989960 + 0.141349i \(0.0451441\pi\)
\(312\) −2.13157 + 1.72611i −0.120677 + 0.0977220i
\(313\) −6.24079 9.60998i −0.352751 0.543188i 0.617101 0.786884i \(-0.288307\pi\)
−0.969852 + 0.243696i \(0.921640\pi\)
\(314\) −0.771222 2.37358i −0.0435226 0.133949i
\(315\) 9.88467 + 6.15227i 0.556938 + 0.346641i
\(316\) −1.27710 + 0.927870i −0.0718427 + 0.0521968i
\(317\) 1.10420 21.0693i 0.0620178 1.18337i −0.773459 0.633846i \(-0.781475\pi\)
0.835477 0.549525i \(-0.185191\pi\)
\(318\) 2.27687 8.49738i 0.127680 0.476509i
\(319\) −0.184601 + 0.218301i −0.0103356 + 0.0122225i
\(320\) −0.390226 2.20175i −0.0218143 0.123082i
\(321\) 22.0016 + 7.14874i 1.22801 + 0.399004i
\(322\) −21.7859 + 0.0194894i −1.21408 + 0.00108610i
\(323\) 50.4668 7.99316i 2.80805 0.444751i
\(324\) 2.29347 10.7899i 0.127415 0.599440i
\(325\) 0.739099 6.10830i 0.0409979 0.338828i
\(326\) −2.05587 + 19.5603i −0.113864 + 1.08335i
\(327\) 13.2915 + 10.7632i 0.735020 + 0.595207i
\(328\) −4.04801 + 2.06256i −0.223514 + 0.113886i
\(329\) 8.44169 + 10.4056i 0.465406 + 0.573678i
\(330\) 11.0246 + 12.3166i 0.606884 + 0.678007i
\(331\) −14.7466 + 25.5419i −0.810548 + 1.40391i 0.101934 + 0.994791i \(0.467497\pi\)
−0.912481 + 0.409118i \(0.865836\pi\)
\(332\) −1.60020 + 2.46410i −0.0878226 + 0.135235i
\(333\) 16.4499 6.31451i 0.901447 0.346033i
\(334\) −4.54448 + 2.02333i −0.248663 + 0.110712i
\(335\) −27.1194 + 6.28614i −1.48169 + 0.343449i
\(336\) −0.303363 + 5.88932i −0.0165498 + 0.321289i
\(337\) −1.81525 11.4610i −0.0988829 0.624322i −0.986503 0.163745i \(-0.947643\pi\)
0.887620 0.460577i \(-0.152357\pi\)
\(338\) 8.92606 + 7.22818i 0.485514 + 0.393161i
\(339\) 13.1669 2.79872i 0.715130 0.152006i
\(340\) 15.6455 7.31238i 0.848497 0.396569i
\(341\) −3.17015 23.1988i −0.171673 1.25629i
\(342\) 9.20642 9.20642i 0.497826 0.497826i
\(343\) −15.0124 10.8457i −0.810592 0.585612i
\(344\) 2.01589 + 2.77464i 0.108690 + 0.149598i
\(345\) 36.9019 + 17.9581i 1.98673 + 0.966833i
\(346\) −4.57832 4.12234i −0.246132 0.221618i
\(347\) −1.51476 + 0.0793851i −0.0813165 + 0.00426162i −0.0929508 0.995671i \(-0.529630\pi\)
0.0116343 + 0.999932i \(0.496297\pi\)
\(348\) 0.179368 + 0.0688528i 0.00961512 + 0.00369090i
\(349\) −9.57341 + 6.95549i −0.512453 + 0.372319i −0.813753 0.581210i \(-0.802579\pi\)
0.301300 + 0.953529i \(0.402579\pi\)
\(350\) −8.70531 9.96080i −0.465318 0.532427i
\(351\) 2.83057 0.151084
\(352\) −1.09175 + 3.13179i −0.0581903 + 0.166925i
\(353\) −3.16173 + 11.7998i −0.168282 + 0.628038i 0.829317 + 0.558779i \(0.188730\pi\)
−0.997599 + 0.0692585i \(0.977937\pi\)
\(354\) −2.60248 12.2437i −0.138320 0.650746i
\(355\) 17.2116 17.8545i 0.913496 0.947619i
\(356\) 4.86150 6.69129i 0.257659 0.354638i
\(357\) −44.5419 + 9.50933i −2.35741 + 0.503287i
\(358\) 13.4550 + 6.85566i 0.711119 + 0.362333i
\(359\) −8.19201 18.3996i −0.432358 0.971091i −0.990007 0.141015i \(-0.954963\pi\)
0.557650 0.830076i \(-0.311703\pi\)
\(360\) 2.13007 3.85073i 0.112264 0.202951i
\(361\) −24.2268 + 5.14957i −1.27510 + 0.271030i
\(362\) −2.45083 9.14661i −0.128813 0.480735i
\(363\) −5.33283 23.9309i −0.279901 1.25605i
\(364\) −3.21524 + 0.512193i −0.168524 + 0.0268462i
\(365\) 2.13646 + 0.904654i 0.111827 + 0.0473518i
\(366\) 2.47738 + 23.5707i 0.129495 + 1.23206i
\(367\) 11.6412 + 14.3757i 0.607666 + 0.750405i 0.984405 0.175914i \(-0.0562882\pi\)
−0.376740 + 0.926319i \(0.622955\pi\)
\(368\) 0.430950 + 8.22302i 0.0224648 + 0.428654i
\(369\) −8.74565 1.85895i −0.455280 0.0967728i
\(370\) −19.9702 + 1.41410i −1.03820 + 0.0735158i
\(371\) 7.37726 7.39047i 0.383008 0.383694i
\(372\) −14.0204 + 7.14373i −0.726922 + 0.370385i
\(373\) −4.83340 18.0385i −0.250264 0.933998i −0.970664 0.240439i \(-0.922709\pi\)
0.720400 0.693559i \(-0.243958\pi\)
\(374\) −25.5461 1.88436i −1.32096 0.0974378i
\(375\) 6.51324 + 24.0537i 0.336342 + 1.24213i
\(376\) 3.76359 3.38876i 0.194093 0.174762i
\(377\) −0.0165936 + 0.104768i −0.000854613 + 0.00539582i
\(378\) 4.06813 4.52625i 0.209242 0.232805i
\(379\) 7.88302 2.56135i 0.404923 0.131568i −0.0994720 0.995040i \(-0.531715\pi\)
0.504395 + 0.863473i \(0.331715\pi\)
\(380\) −13.0556 + 6.95650i −0.669736 + 0.356861i
\(381\) 31.8953 + 3.35233i 1.63405 + 0.171745i
\(382\) −4.37342 11.3932i −0.223764 0.582925i
\(383\) −1.28108 + 24.4445i −0.0654601 + 1.24905i 0.746518 + 0.665366i \(0.231724\pi\)
−0.811978 + 0.583688i \(0.801609\pi\)
\(384\) 2.22890 0.113743
\(385\) 4.04032 + 19.2009i 0.205914 + 0.978570i
\(386\) 4.29672 0.218697
\(387\) −0.353245 + 6.74031i −0.0179564 + 0.342629i
\(388\) 3.06420 + 7.98252i 0.155561 + 0.405251i
\(389\) −4.01828 0.422338i −0.203735 0.0214134i 0.00211123 0.999998i \(-0.499328\pi\)
−0.205846 + 0.978584i \(0.565995\pi\)
\(390\) 5.86672 + 1.78800i 0.297073 + 0.0905387i
\(391\) −60.4840 + 19.6524i −3.05881 + 0.993866i
\(392\) −3.80196 + 5.87751i −0.192028 + 0.296859i
\(393\) −2.70295 + 17.0658i −0.136346 + 0.860855i
\(394\) 6.68822 6.02210i 0.336948 0.303389i
\(395\) 3.31801 + 1.20435i 0.166947 + 0.0605976i
\(396\) −5.54850 + 3.43771i −0.278822 + 0.172752i
\(397\) 2.25599 + 8.41946i 0.113225 + 0.422561i 0.999148 0.0412713i \(-0.0131408\pi\)
−0.885923 + 0.463832i \(0.846474\pi\)
\(398\) −22.4388 + 11.4331i −1.12476 + 0.573092i
\(399\) 37.6754 10.1312i 1.88613 0.507196i
\(400\) −3.59058 + 3.47961i −0.179529 + 0.173981i
\(401\) 15.3694 + 3.26687i 0.767512 + 0.163140i 0.574998 0.818155i \(-0.305003\pi\)
0.192514 + 0.981294i \(0.438336\pi\)
\(402\) −1.45228 27.7112i −0.0724333 1.38211i
\(403\) −5.46721 6.75144i −0.272341 0.336313i
\(404\) 1.36201 + 12.9587i 0.0677625 + 0.644717i
\(405\) −22.8618 + 9.26016i −1.13601 + 0.460141i
\(406\) 0.143682 + 0.177108i 0.00713081 + 0.00878972i
\(407\) 26.8645 + 12.6522i 1.33162 + 0.627144i
\(408\) 4.45548 + 16.6281i 0.220579 + 0.823213i
\(409\) −10.3516 + 2.20030i −0.511855 + 0.108798i −0.456596 0.889674i \(-0.650932\pi\)
−0.0552584 + 0.998472i \(0.517598\pi\)
\(410\) 8.88948 + 4.91730i 0.439020 + 0.242848i
\(411\) 13.0528 + 29.3171i 0.643848 + 1.44611i
\(412\) 2.38495 + 1.21519i 0.117498 + 0.0598681i
\(413\) 4.57880 14.1351i 0.225308 0.695543i
\(414\) −9.52517 + 13.1103i −0.468137 + 0.644335i
\(415\) 6.56869 0.120437i 0.322444 0.00591200i
\(416\) 0.255850 + 1.20368i 0.0125441 + 0.0590152i
\(417\) −1.78671 + 6.66807i −0.0874953 + 0.326537i
\(418\) 21.9370 + 0.466663i 1.07297 + 0.0228252i
\(419\) 31.6099 1.54424 0.772122 0.635475i \(-0.219196\pi\)
0.772122 + 0.635475i \(0.219196\pi\)
\(420\) 11.2909 6.81153i 0.550937 0.332368i
\(421\) 0.266392 0.193545i 0.0129831 0.00943281i −0.581275 0.813707i \(-0.697446\pi\)
0.594258 + 0.804275i \(0.297446\pi\)
\(422\) −2.12897 0.817236i −0.103637 0.0397824i
\(423\) 9.95316 0.521623i 0.483939 0.0253622i
\(424\) −2.93308 2.64095i −0.142443 0.128256i
\(425\) −33.1361 19.8309i −1.60734 0.961940i
\(426\) 14.5302 + 19.9990i 0.703988 + 0.968957i
\(427\) −11.4197 + 25.7110i −0.552639 + 1.24424i
\(428\) 7.33907 7.33907i 0.354747 0.354747i
\(429\) −6.29423 6.56784i −0.303888 0.317098i
\(430\) 2.61658 7.20872i 0.126183 0.347635i
\(431\) −6.11026 + 1.29878i −0.294321 + 0.0625599i −0.352706 0.935734i \(-0.614738\pi\)
0.0583847 + 0.998294i \(0.481405\pi\)
\(432\) −1.78760 1.44757i −0.0860058 0.0696461i
\(433\) 2.56333 + 16.1842i 0.123186 + 0.777765i 0.969502 + 0.245084i \(0.0788155\pi\)
−0.846316 + 0.532681i \(0.821184\pi\)
\(434\) −18.6535 0.960858i −0.895398 0.0461226i
\(435\) −0.0970101 0.418517i −0.00465128 0.0200664i
\(436\) 7.00986 3.12099i 0.335711 0.149468i
\(437\) 50.8578 19.5225i 2.43286 0.933886i
\(438\) −1.25957 + 1.93956i −0.0601844 + 0.0926758i
\(439\) 18.8821 32.7048i 0.901195 1.56092i 0.0752506 0.997165i \(-0.476024\pi\)
0.825945 0.563751i \(-0.190642\pi\)
\(440\) 7.16910 1.89841i 0.341774 0.0905030i
\(441\) −13.0942 + 4.28047i −0.623532 + 0.203832i
\(442\) −8.46827 + 4.31480i −0.402794 + 0.205234i
\(443\) 12.1565 + 9.84414i 0.577573 + 0.467709i 0.873043 0.487643i \(-0.162143\pi\)
−0.295470 + 0.955352i \(0.595476\pi\)
\(444\) 2.08597 19.8467i 0.0989960 0.941884i
\(445\) −18.4836 0.629182i −0.876205 0.0298261i
\(446\) 0.680067 3.19946i 0.0322021 0.151499i
\(447\) 25.3663 4.01763i 1.19978 0.190027i
\(448\) 2.29247 + 1.32083i 0.108309 + 0.0624031i
\(449\) −1.52976 0.497049i −0.0721938 0.0234572i 0.272697 0.962100i \(-0.412084\pi\)
−0.344891 + 0.938643i \(0.612084\pi\)
\(450\) −9.80108 + 0.874860i −0.462027 + 0.0412413i
\(451\) −7.93602 12.8088i −0.373693 0.603143i
\(452\) 1.56309 5.83355i 0.0735218 0.274387i
\(453\) −0.664370 + 12.6769i −0.0312148 + 0.595615i
\(454\) 10.2625 7.45613i 0.481642 0.349933i
\(455\) 4.97449 + 5.31555i 0.233208 + 0.249197i
\(456\) −4.55672 14.0241i −0.213388 0.656741i
\(457\) 10.1450 + 15.6220i 0.474565 + 0.730766i 0.992176 0.124850i \(-0.0398451\pi\)
−0.517611 + 0.855616i \(0.673178\pi\)
\(458\) 17.1603 13.8961i 0.801847 0.649323i
\(459\) 7.22582 16.2295i 0.337273 0.757526i
\(460\) 14.6951 11.0938i 0.685162 0.517252i
\(461\) 7.91220i 0.368508i 0.982879 + 0.184254i \(0.0589869\pi\)
−0.982879 + 0.184254i \(0.941013\pi\)
\(462\) −19.5485 + 0.625469i −0.909481 + 0.0290994i
\(463\) 22.6366 22.6366i 1.05201 1.05201i 0.0534397 0.998571i \(-0.482982\pi\)
0.998571 0.0534397i \(-0.0170185\pi\)
\(464\) 0.0640582 0.0576783i 0.00297383 0.00267765i
\(465\) 30.7889 + 17.0312i 1.42780 + 0.789802i
\(466\) 2.98886 28.4371i 0.138456 1.31732i
\(467\) −17.0801 + 11.0919i −0.790371 + 0.513273i −0.875570 0.483091i \(-0.839514\pi\)
0.0851994 + 0.996364i \(0.472847\pi\)
\(468\) −1.09946 + 2.15782i −0.0508227 + 0.0997451i
\(469\) 14.9277 29.3621i 0.689296 1.35582i
\(470\) −10.9904 2.72995i −0.506949 0.125923i
\(471\) −3.72220 4.13392i −0.171510 0.190481i
\(472\) −5.42452 1.45350i −0.249684 0.0669026i
\(473\) −8.61310 + 7.42974i −0.396031 + 0.341620i
\(474\) −1.75926 + 3.04712i −0.0808054 + 0.139959i
\(475\) 29.2341 + 15.4781i 1.34135 + 0.710185i
\(476\) −5.27108 + 19.7426i −0.241600 + 0.904900i
\(477\) −1.21509 7.67180i −0.0556353 0.351267i
\(478\) −7.38045 + 4.79292i −0.337574 + 0.219223i
\(479\) −4.03303 + 4.47913i −0.184274 + 0.204657i −0.828203 0.560428i \(-0.810637\pi\)
0.643929 + 0.765085i \(0.277303\pi\)
\(480\) −2.79064 4.12945i −0.127375 0.188483i
\(481\) 10.9573 1.15166i 0.499610 0.0525112i
\(482\) −1.60735 3.15460i −0.0732128 0.143688i
\(483\) −44.3429 + 19.7903i −2.01767 + 0.900489i
\(484\) −10.6526 2.74253i −0.484210 0.124660i
\(485\) 10.9526 15.6713i 0.497334 0.711597i
\(486\) −3.67720 17.2998i −0.166801 0.784737i
\(487\) 9.89891 + 25.7875i 0.448562 + 1.16855i 0.952428 + 0.304763i \(0.0985773\pi\)
−0.503866 + 0.863782i \(0.668089\pi\)
\(488\) 9.92701 + 3.81062i 0.449375 + 0.172499i
\(489\) 13.5467 + 41.6926i 0.612605 + 1.88540i
\(490\) 15.6493 0.314939i 0.706964 0.0142275i
\(491\) 15.5764 + 11.3169i 0.702951 + 0.510724i 0.880892 0.473317i \(-0.156944\pi\)
−0.177941 + 0.984041i \(0.556944\pi\)
\(492\) −6.37270 + 7.86963i −0.287304 + 0.354790i
\(493\) 0.558342 + 0.362591i 0.0251464 + 0.0163303i
\(494\) 7.05043 4.07057i 0.317214 0.183144i
\(495\) 13.3158 + 5.97551i 0.598503 + 0.268579i
\(496\) 7.05972i 0.316991i
\(497\) 3.09332 + 29.1798i 0.138754 + 1.30889i
\(498\) −1.02445 + 6.46812i −0.0459067 + 0.289843i
\(499\) 7.90036 + 17.7445i 0.353669 + 0.794353i 0.999523 + 0.0308920i \(0.00983480\pi\)
−0.645854 + 0.763461i \(0.723499\pi\)
\(500\) 10.9421 + 2.29566i 0.489346 + 0.102665i
\(501\) −7.41918 + 8.23983i −0.331464 + 0.368129i
\(502\) 3.15437 8.21742i 0.140787 0.366761i
\(503\) −4.36843 0.691891i −0.194778 0.0308499i 0.0582829 0.998300i \(-0.481437\pi\)
−0.253061 + 0.967450i \(0.581437\pi\)
\(504\) 1.87032 + 4.85936i 0.0833107 + 0.216453i
\(505\) 22.3030 18.7479i 0.992471 0.834271i
\(506\) −27.0586 + 3.69759i −1.20290 + 0.164378i
\(507\) 24.7282 + 6.62590i 1.09822 + 0.294266i
\(508\) 7.83664 12.0674i 0.347695 0.535403i
\(509\) 1.28992 + 12.2728i 0.0571746 + 0.543980i 0.985193 + 0.171447i \(0.0548442\pi\)
−0.928019 + 0.372534i \(0.878489\pi\)
\(510\) 25.2282 29.0733i 1.11712 1.28739i
\(511\) −2.44485 + 1.24847i −0.108154 + 0.0552291i
\(512\) 0.453990 0.891007i 0.0200637 0.0393773i
\(513\) −5.45349 + 14.2068i −0.240778 + 0.627247i
\(514\) −8.88980 3.95799i −0.392112 0.174580i
\(515\) −0.734644 5.94000i −0.0323723 0.261747i
\(516\) 6.62018 + 3.82217i 0.291437 + 0.168261i
\(517\) 12.2406 + 11.5022i 0.538340 + 0.505865i
\(518\) 13.9064 19.1766i 0.611013 0.842572i
\(519\) −13.0596 4.24332i −0.573253 0.186261i
\(520\) 1.90971 1.98104i 0.0837462 0.0868745i
\(521\) −3.08307 0.324044i −0.135072 0.0141966i 0.0367512 0.999324i \(-0.488299\pi\)
−0.171823 + 0.985128i \(0.554966\pi\)
\(522\) 0.169408 0.00887828i 0.00741477 0.000388592i
\(523\) −3.29628 5.07582i −0.144136 0.221950i 0.759228 0.650825i \(-0.225577\pi\)
−0.903364 + 0.428875i \(0.858910\pi\)
\(524\) 6.27152 + 4.55652i 0.273972 + 0.199053i
\(525\) −26.7560 12.3902i −1.16773 0.540753i
\(526\) 5.95907 18.3401i 0.259828 0.799668i
\(527\) −52.6670 + 14.1121i −2.29421 + 0.614731i
\(528\) 0.616183 + 7.36671i 0.0268159 + 0.320595i
\(529\) −38.8012 + 22.4019i −1.68701 + 0.973994i
\(530\) −1.22057 + 8.74060i −0.0530183 + 0.379667i
\(531\) −6.49626 8.94133i −0.281914 0.388021i
\(532\) 3.62389 17.1244i 0.157115 0.742435i
\(533\) −4.98136 2.53813i −0.215767 0.109939i
\(534\) 3.83285 18.0322i 0.165864 0.780328i
\(535\) −22.7857 4.40829i −0.985110 0.190587i
\(536\) −11.3734 5.06376i −0.491256 0.218721i
\(537\) 33.6123 + 1.76155i 1.45048 + 0.0760164i
\(538\) −21.4363 21.4363i −0.924182 0.924182i
\(539\) −20.4767 10.9410i −0.881994 0.471261i
\(540\) −0.443771 + 5.12424i −0.0190969 + 0.220512i
\(541\) 21.3559 + 23.7181i 0.918160 + 1.01972i 0.999734 + 0.0230526i \(0.00733852\pi\)
−0.0815744 + 0.996667i \(0.525995\pi\)
\(542\) 11.8918 4.56483i 0.510796 0.196076i
\(543\) −13.2825 16.4025i −0.570006 0.703899i
\(544\) 7.55460 + 1.60578i 0.323901 + 0.0688473i
\(545\) −14.5587 9.07950i −0.623627 0.388923i
\(546\) −6.08255 + 3.95779i −0.260309 + 0.169378i
\(547\) 4.38340 + 0.694263i 0.187421 + 0.0296845i 0.249439 0.968390i \(-0.419754\pi\)
−0.0620183 + 0.998075i \(0.519754\pi\)
\(548\) 14.3782 + 0.753529i 0.614206 + 0.0321892i
\(549\) 10.4632 + 18.1228i 0.446558 + 0.773461i
\(550\) −12.4930 10.9052i −0.532705 0.465001i
\(551\) −0.493868 0.285135i −0.0210395 0.0121471i
\(552\) 8.33230 + 16.3531i 0.354646 + 0.696032i
\(553\) −3.61513 + 2.09151i −0.153731 + 0.0889400i
\(554\) −15.9800 + 21.9946i −0.678924 + 0.934459i
\(555\) −39.3814 + 20.9839i −1.67165 + 0.890717i
\(556\) 2.30165 + 2.07241i 0.0976116 + 0.0878899i
\(557\) −5.44537 + 4.40958i −0.230728 + 0.186840i −0.737712 0.675116i \(-0.764094\pi\)
0.506984 + 0.861956i \(0.330760\pi\)
\(558\) −8.74352 + 10.7973i −0.370143 + 0.457088i
\(559\) −1.30418 + 4.01385i −0.0551609 + 0.169768i
\(560\) −0.423155 5.90093i −0.0178816 0.249360i
\(561\) −53.7255 + 19.3226i −2.26829 + 0.815800i
\(562\) −0.511716 + 0.137114i −0.0215855 + 0.00578380i
\(563\) −28.4849 18.4983i −1.20050 0.779611i −0.219876 0.975528i \(-0.570565\pi\)
−0.980621 + 0.195917i \(0.937232\pi\)
\(564\) 4.59128 10.3122i 0.193328 0.434221i
\(565\) −12.7648 + 4.40782i −0.537017 + 0.185438i
\(566\) 12.5841 4.08883i 0.528950 0.171866i
\(567\) 8.99389 27.7648i 0.377708 1.16601i
\(568\) 10.9542 1.73497i 0.459628 0.0727979i
\(569\) −4.13585 + 0.434695i −0.173384 + 0.0182234i −0.190822 0.981625i \(-0.561115\pi\)
0.0174387 + 0.999848i \(0.494449\pi\)
\(570\) −20.2772 + 26.0007i −0.849318 + 1.08905i
\(571\) −11.7464 20.3454i −0.491573 0.851429i 0.508380 0.861133i \(-0.330245\pi\)
−0.999953 + 0.00970350i \(0.996911\pi\)
\(572\) −3.90753 + 1.17836i −0.163382 + 0.0492699i
\(573\) −19.2340 19.2340i −0.803510 0.803510i
\(574\) −11.2179 + 4.31767i −0.468226 + 0.180216i
\(575\) −38.9519 13.3356i −1.62441 0.556134i
\(576\) 1.79787 0.800462i 0.0749111 0.0333526i
\(577\) −0.644661 12.3009i −0.0268376 0.512092i −0.978666 0.205459i \(-0.934131\pi\)
0.951828 0.306632i \(-0.0992022\pi\)
\(578\) 2.23216 + 42.5921i 0.0928455 + 1.77160i
\(579\) 8.74899 3.89530i 0.363596 0.161883i
\(580\) −0.187062 0.0464651i −0.00776733 0.00192936i
\(581\) −4.88661 + 6.04551i −0.202731 + 0.250810i
\(582\) 13.4761 + 13.4761i 0.558603 + 0.558603i
\(583\) 7.91772 10.4242i 0.327918 0.431724i
\(584\) 0.518789 + 0.898569i 0.0214676 + 0.0371830i
\(585\) 5.37431 0.664681i 0.222200 0.0274812i
\(586\) −22.3177 + 2.34568i −0.921936 + 0.0968993i
\(587\) 7.63165 1.20873i 0.314992 0.0498898i 0.00306314 0.999995i \(-0.499025\pi\)
0.311929 + 0.950105i \(0.399025\pi\)
\(588\) −2.41317 + 15.4146i −0.0995173 + 0.635686i
\(589\) 44.4194 14.4327i 1.83027 0.594690i
\(590\) 4.09876 + 11.8697i 0.168743 + 0.488669i
\(591\) 8.15909 18.3256i 0.335620 0.753815i
\(592\) −7.50887 4.87632i −0.308613 0.200415i
\(593\) 23.3383 6.25348i 0.958390 0.256800i 0.254471 0.967080i \(-0.418099\pi\)
0.703919 + 0.710281i \(0.251432\pi\)
\(594\) 4.29015 6.30834i 0.176027 0.258834i
\(595\) 43.1763 14.9525i 1.77005 0.612994i
\(596\) 3.56064 10.9585i 0.145850 0.448879i
\(597\) −35.3250 + 43.6227i −1.44576 + 1.78536i
\(598\) −7.87473 + 6.37683i −0.322022 + 0.260768i
\(599\) −8.06549 7.26220i −0.329547 0.296725i 0.487702 0.873010i \(-0.337835\pi\)
−0.817249 + 0.576285i \(0.804502\pi\)
\(600\) −4.15662 + 10.3403i −0.169694 + 0.422143i
\(601\) 23.0402 31.7121i 0.939830 1.29357i −0.0160692 0.999871i \(-0.505115\pi\)
0.955899 0.293694i \(-0.0948848\pi\)
\(602\) 4.54401 + 7.85423i 0.185200 + 0.320114i
\(603\) −11.1233 21.8307i −0.452976 0.889016i
\(604\) 4.93230 + 2.84766i 0.200692 + 0.115870i
\(605\) 8.25630 + 23.1697i 0.335666 + 0.941981i
\(606\) 14.5213 + 25.1517i 0.589889 + 1.02172i
\(607\) 5.78053 + 0.302945i 0.234625 + 0.0122962i 0.169286 0.985567i \(-0.445854\pi\)
0.0653387 + 0.997863i \(0.479187\pi\)
\(608\) −6.53429 1.03493i −0.265001 0.0419720i
\(609\) 0.453127 + 0.230370i 0.0183616 + 0.00933505i
\(610\) −5.36897 23.1626i −0.217383 0.937826i
\(611\) 6.09593 + 1.29573i 0.246615 + 0.0524196i
\(612\) 9.56547 + 11.8124i 0.386661 + 0.477487i
\(613\) 11.1719 4.28849i 0.451229 0.173211i −0.122131 0.992514i \(-0.538973\pi\)
0.573360 + 0.819303i \(0.305640\pi\)
\(614\) −4.97198 5.52194i −0.200653 0.222847i
\(615\) 22.5587 + 1.95364i 0.909655 + 0.0787783i
\(616\) −3.73168 + 7.94195i −0.150354 + 0.319990i
\(617\) −10.8209 10.8209i −0.435633 0.435633i 0.454906 0.890539i \(-0.349673\pi\)
−0.890539 + 0.454906i \(0.849673\pi\)
\(618\) 5.95790 + 0.312240i 0.239662 + 0.0125601i
\(619\) −5.70202 2.53870i −0.229183 0.102039i 0.288932 0.957349i \(-0.406700\pi\)
−0.518116 + 0.855310i \(0.673366\pi\)
\(620\) 13.0794 8.83893i 0.525282 0.354980i
\(621\) 3.93797 18.5267i 0.158025 0.743451i
\(622\) −8.59580 4.37978i −0.344660 0.175613i
\(623\) 14.6278 16.2751i 0.586052 0.652049i
\(624\) 1.61219 + 2.21899i 0.0645393 + 0.0888307i
\(625\) −9.44666 23.1465i −0.377866 0.925860i
\(626\) −9.92343 + 5.72929i −0.396620 + 0.228989i
\(627\) 45.0912 18.9373i 1.80077 0.756284i
\(628\) −2.41069 + 0.645942i −0.0961969 + 0.0257759i
\(629\) 21.3684 65.7653i 0.852015 2.62223i
\(630\) 6.66116 9.54914i 0.265387 0.380447i
\(631\) 1.66017 + 1.20618i 0.0660903 + 0.0480174i 0.620340 0.784333i \(-0.286995\pi\)
−0.554250 + 0.832351i \(0.686995\pi\)
\(632\) 0.859760 + 1.32391i 0.0341994 + 0.0526625i
\(633\) −5.07591 + 0.266017i −0.201749 + 0.0105732i
\(634\) −20.9827 2.20537i −0.833328 0.0875863i
\(635\) −32.1687 + 0.589811i −1.27657 + 0.0234059i
\(636\) −8.36657 2.71846i −0.331756 0.107794i
\(637\) −8.60137 + 0.466212i −0.340799 + 0.0184720i
\(638\) 0.208341 + 0.195773i 0.00824828 + 0.00775071i
\(639\) 18.9025 + 10.9133i 0.747770 + 0.431725i
\(640\) −2.21916 + 0.274460i −0.0877200 + 0.0108490i
\(641\) 19.2670 + 8.57821i 0.761000 + 0.338819i 0.750277 0.661124i \(-0.229920\pi\)
0.0107227 + 0.999943i \(0.496587\pi\)
\(642\) 8.29042 21.5973i 0.327197 0.852377i
\(643\) 2.60368 5.11001i 0.102679 0.201519i −0.833951 0.551838i \(-0.813927\pi\)
0.936631 + 0.350319i \(0.113927\pi\)
\(644\) −1.12072 + 21.7571i −0.0441627 + 0.857349i
\(645\) −1.20736 17.0505i −0.0475399 0.671365i
\(646\) −5.34097 50.8160i −0.210138 1.99933i
\(647\) −24.9631 + 38.4397i −0.981399 + 1.51122i −0.126803 + 0.991928i \(0.540472\pi\)
−0.854596 + 0.519294i \(0.826195\pi\)
\(648\) −10.6551 2.85502i −0.418572 0.112156i
\(649\) 3.30431 18.3303i 0.129705 0.719527i
\(650\) −6.06125 1.05777i −0.237742 0.0414892i
\(651\) −38.8535 + 14.9543i −1.52279 + 0.586107i
\(652\) 19.4259 + 3.07676i 0.760777 + 0.120495i
\(653\) 6.10212 15.8966i 0.238794 0.622080i −0.760845 0.648934i \(-0.775215\pi\)
0.999639 + 0.0268532i \(0.00854865\pi\)
\(654\) 11.4441 12.7099i 0.447499 0.496998i
\(655\) 0.589711 17.3240i 0.0230419 0.676905i
\(656\) 1.84788 + 4.15041i 0.0721476 + 0.162046i
\(657\) −0.319433 + 2.01682i −0.0124623 + 0.0786838i
\(658\) 10.8331 7.88554i 0.422319 0.307410i
\(659\) 6.24936i 0.243441i −0.992564 0.121720i \(-0.961159\pi\)
0.992564 0.121720i \(-0.0388411\pi\)
\(660\) 12.8767 10.3649i 0.501225 0.403453i
\(661\) −38.8479 + 22.4288i −1.51101 + 0.872380i −0.511089 + 0.859528i \(0.670758\pi\)
−0.999917 + 0.0128526i \(0.995909\pi\)
\(662\) 24.7351 + 16.0632i 0.961357 + 0.624313i
\(663\) −13.3314 + 16.4629i −0.517750 + 0.639368i
\(664\) 2.37697 + 1.72697i 0.0922445 + 0.0670195i
\(665\) −36.2632 + 14.7262i −1.40623 + 0.571057i
\(666\) −5.44494 16.7578i −0.210987 0.649351i
\(667\) 0.662644 + 0.254365i 0.0256577 + 0.00984905i
\(668\) 1.78272 + 4.64414i 0.0689755 + 0.179687i
\(669\) −1.51580 7.13129i −0.0586043 0.275712i
\(670\) 4.85821 + 27.4113i 0.187689 + 1.05899i
\(671\) −9.85009 + 33.8630i −0.380258 + 1.30727i
\(672\) 5.86537 + 0.611170i 0.226261 + 0.0235764i
\(673\) 8.05245 + 15.8038i 0.310399 + 0.609193i 0.992525 0.122042i \(-0.0389444\pi\)
−0.682126 + 0.731235i \(0.738944\pi\)
\(674\) −11.5403 + 1.21294i −0.444517 + 0.0467206i
\(675\) 10.0492 5.59350i 0.386794 0.215294i
\(676\) 7.68543 8.53554i 0.295593 0.328290i
\(677\) −8.84162 + 5.74181i −0.339811 + 0.220676i −0.703251 0.710942i \(-0.748269\pi\)
0.363440 + 0.931618i \(0.381602\pi\)
\(678\) −2.10578 13.2954i −0.0808719 0.510605i
\(679\) 5.87464 + 21.8463i 0.225448 + 0.838382i
\(680\) −6.48354 16.0068i −0.248632 0.613831i
\(681\) 14.1370 24.4859i 0.541729 0.938303i
\(682\) −23.3330 + 1.95167i −0.893465 + 0.0747333i
\(683\) 4.84229 + 1.29749i 0.185285 + 0.0496470i 0.350268 0.936649i \(-0.386090\pi\)
−0.164983 + 0.986296i \(0.552757\pi\)
\(684\) −8.71198 9.67563i −0.333111 0.369957i
\(685\) −16.6058 27.5817i −0.634474 1.05384i
\(686\) −11.6165 + 14.4242i −0.443520 + 0.550717i
\(687\) 22.3439 43.8524i 0.852474 1.67307i
\(688\) 2.87634 1.86791i 0.109659 0.0712136i
\(689\) 0.507681 4.83026i 0.0193411 0.184018i
\(690\) 19.8648 35.9115i 0.756240 1.36713i
\(691\) 14.5596 13.1095i 0.553874 0.498710i −0.343996 0.938971i \(-0.611781\pi\)
0.897870 + 0.440261i \(0.145114\pi\)
\(692\) −4.35630 + 4.35630i −0.165602 + 0.165602i
\(693\) −15.5435 + 7.52494i −0.590450 + 0.285849i
\(694\) 1.51684i 0.0575783i
\(695\) 0.957809 6.85894i 0.0363318 0.260174i
\(696\) 0.0781459 0.175518i 0.00296211 0.00665301i
\(697\) −27.2691 + 22.0821i −1.03289 + 0.836417i
\(698\) 6.44493 + 9.92432i 0.243944 + 0.375641i
\(699\) −19.6945 60.6134i −0.744914 2.29261i
\(700\) −10.4028 + 8.17207i −0.393187 + 0.308875i
\(701\) 25.6887 18.6639i 0.970248 0.704927i 0.0147401 0.999891i \(-0.495308\pi\)
0.955508 + 0.294965i \(0.0953079\pi\)
\(702\) 0.148140 2.82669i 0.00559120 0.106686i
\(703\) −15.3306 + 57.2144i −0.578203 + 2.15788i
\(704\) 3.07036 + 1.25416i 0.115718 + 0.0472678i
\(705\) −24.8536 + 4.40491i −0.936041 + 0.165898i
\(706\) 11.6181 + 3.77495i 0.437253 + 0.142072i
\(707\) 0.0308402 + 34.4742i 0.00115986 + 1.29654i
\(708\) −12.3631 + 1.95813i −0.464635 + 0.0735910i
\(709\) −4.11588 + 19.3637i −0.154575 + 0.727219i 0.830766 + 0.556622i \(0.187903\pi\)
−0.985341 + 0.170597i \(0.945430\pi\)
\(710\) −16.9293 18.1224i −0.635344 0.680123i
\(711\) −0.324736 + 3.08965i −0.0121785 + 0.115871i
\(712\) −6.42769 5.20504i −0.240888 0.195067i
\(713\) −51.7958 + 26.3913i −1.93977 + 0.988362i
\(714\) 7.16516 + 44.9786i 0.268149 + 1.68328i
\(715\) 7.07546 + 5.76408i 0.264607 + 0.215564i
\(716\) 7.55045 13.0778i 0.282174 0.488739i
\(717\) −10.6830 + 16.4503i −0.398962 + 0.614348i
\(718\) −18.8031 + 7.21783i −0.701725 + 0.269367i
\(719\) −28.1055 + 12.5134i −1.04816 + 0.466670i −0.857230 0.514934i \(-0.827817\pi\)
−0.190929 + 0.981604i \(0.561150\pi\)
\(720\) −3.73397 2.32868i −0.139157 0.0867848i
\(721\) 5.94278 + 3.85174i 0.221321 + 0.143446i
\(722\) 3.87458 + 24.4631i 0.144197 + 0.910424i
\(723\) −6.13279 4.96623i −0.228081 0.184696i
\(724\) −9.26234 + 1.96877i −0.344232 + 0.0731688i
\(725\) 0.148121 + 0.404742i 0.00550107 + 0.0150317i
\(726\) −24.1772 + 4.07307i −0.897302 + 0.151166i
\(727\) 0.282731 0.282731i 0.0104859 0.0104859i −0.701844 0.712330i \(-0.747640\pi\)
0.712330 + 0.701844i \(0.247640\pi\)
\(728\) 0.343219 + 3.23764i 0.0127205 + 0.119995i
\(729\) −3.71964 5.11965i −0.137765 0.189617i
\(730\) 1.01523 2.08618i 0.0375753 0.0772130i
\(731\) 19.6847 + 17.7242i 0.728065 + 0.655553i
\(732\) 23.6680 1.24039i 0.874796 0.0458461i
\(733\) −26.2372 10.0715i −0.969093 0.372000i −0.178227 0.983989i \(-0.557036\pi\)
−0.790866 + 0.611989i \(0.790370\pi\)
\(734\) 14.9652 10.8729i 0.552377 0.401325i
\(735\) 31.5797 14.8286i 1.16483 0.546960i
\(736\) 8.23430 0.303520
\(737\) 13.5920 38.9899i 0.500666 1.43621i
\(738\) −2.31411 + 8.63638i −0.0851836 + 0.317909i
\(739\) 7.59940 + 35.7524i 0.279549 + 1.31517i 0.863896 + 0.503670i \(0.168017\pi\)
−0.584348 + 0.811503i \(0.698650\pi\)
\(740\) 0.367007 + 20.0168i 0.0134915 + 0.735833i
\(741\) 10.6658 14.6803i 0.391819 0.539293i
\(742\) −6.99425 7.75394i −0.256767 0.284656i
\(743\) −35.5114 18.0939i −1.30279 0.663802i −0.341636 0.939832i \(-0.610981\pi\)
−0.961149 + 0.276030i \(0.910981\pi\)
\(744\) 6.40017 + 14.3750i 0.234642 + 0.527014i
\(745\) −24.7607 + 7.12359i −0.907162 + 0.260988i
\(746\) −18.2667 + 3.88271i −0.668793 + 0.142156i
\(747\) 1.49655 + 5.58519i 0.0547558 + 0.204351i
\(748\) −3.21876 + 25.4125i −0.117689 + 0.929173i
\(749\) 21.3252 17.3004i 0.779205 0.632143i
\(750\) 24.3616 5.24544i 0.889559 0.191536i
\(751\) 4.33778 + 41.2712i 0.158288 + 1.50601i 0.728804 + 0.684722i \(0.240076\pi\)
−0.570516 + 0.821286i \(0.693257\pi\)
\(752\) −3.18714 3.93579i −0.116223 0.143523i
\(753\) −1.02677 19.5920i −0.0374177 0.713973i
\(754\) 0.103756 + 0.0220540i 0.00377856 + 0.000803158i
\(755\) −0.899533 12.7033i −0.0327374 0.462322i
\(756\) −4.30714 4.29944i −0.156649 0.156369i
\(757\) −5.82823 + 2.96963i −0.211831 + 0.107933i −0.556687 0.830722i \(-0.687928\pi\)
0.344856 + 0.938656i \(0.387928\pi\)
\(758\) −2.14527 8.00627i −0.0779198 0.290801i
\(759\) −51.7447 + 32.0598i −1.87821 + 1.16370i
\(760\) 6.26369 + 13.4017i 0.227208 + 0.486132i
\(761\) 10.3120 9.28498i 0.373810 0.336580i −0.460717 0.887547i \(-0.652408\pi\)
0.834527 + 0.550967i \(0.185741\pi\)
\(762\) 5.01701 31.6761i 0.181747 1.14751i
\(763\) 19.3022 6.29078i 0.698788 0.227741i
\(764\) −11.6064 + 3.77116i −0.419906 + 0.136436i
\(765\) 9.90839 32.5111i 0.358239 1.17544i
\(766\) 24.3439 + 2.55865i 0.879582 + 0.0924478i
\(767\) −2.47658 6.45172i −0.0894243 0.232958i
\(768\) 0.116652 2.22585i 0.00420931 0.0803184i
\(769\) 43.6017 1.57232 0.786159 0.618025i \(-0.212067\pi\)
0.786159 + 0.618025i \(0.212067\pi\)
\(770\) 19.3861 3.02988i 0.698626 0.109189i
\(771\) −21.6897 −0.781134
\(772\) 0.224873