Properties

Label 483.2.i.h.415.3
Level $483$
Weight $2$
Character 483.415
Analytic conductor $3.857$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.i (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(10\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
Defining polynomial: \(x^{20} - 3 x^{19} + 22 x^{18} - 43 x^{17} + 245 x^{16} - 416 x^{15} + 1707 x^{14} - 2021 x^{13} + 7135 x^{12} - 6640 x^{11} + 20315 x^{10} - 10565 x^{9} + 29358 x^{8} - 9009 x^{7} + 30661 x^{6} - 4026 x^{5} + 15786 x^{4} - 84 x^{3} + 5800 x^{2} + 152 x + 4\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 415.3
Root \(1.13751 + 1.97023i\) of defining polynomial
Character \(\chi\) \(=\) 483.415
Dual form 483.2.i.h.277.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.13751 + 1.97023i) q^{2} +(0.500000 + 0.866025i) q^{3} +(-1.58786 - 2.75026i) q^{4} +(0.619347 - 1.07274i) q^{5} -2.27502 q^{6} +(1.84753 - 1.89384i) q^{7} +2.67481 q^{8} +(-0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(-1.13751 + 1.97023i) q^{2} +(0.500000 + 0.866025i) q^{3} +(-1.58786 - 2.75026i) q^{4} +(0.619347 - 1.07274i) q^{5} -2.27502 q^{6} +(1.84753 - 1.89384i) q^{7} +2.67481 q^{8} +(-0.500000 + 0.866025i) q^{9} +(1.40903 + 2.44051i) q^{10} +(-3.06335 - 5.30587i) q^{11} +(1.58786 - 2.75026i) q^{12} +0.910400 q^{13} +(1.62971 + 5.79432i) q^{14} +1.23869 q^{15} +(0.133103 - 0.230540i) q^{16} +(-2.45436 - 4.25108i) q^{17} +(-1.13751 - 1.97023i) q^{18} +(3.45185 - 5.97878i) q^{19} -3.93376 q^{20} +(2.56388 + 0.653086i) q^{21} +13.9384 q^{22} +(-0.500000 + 0.866025i) q^{23} +(1.33740 + 2.31645i) q^{24} +(1.73282 + 3.00133i) q^{25} +(-1.03559 + 1.79370i) q^{26} -1.00000 q^{27} +(-8.14219 - 2.07403i) q^{28} +3.36004 q^{29} +(-1.40903 + 2.44051i) q^{30} +(-2.71868 - 4.70889i) q^{31} +(2.97762 + 5.15739i) q^{32} +(3.06335 - 5.30587i) q^{33} +11.1675 q^{34} +(-0.887339 - 3.15486i) q^{35} +3.17573 q^{36} +(-3.27333 + 5.66957i) q^{37} +(7.85304 + 13.6019i) q^{38} +(0.455200 + 0.788430i) q^{39} +(1.65663 - 2.86938i) q^{40} -2.52207 q^{41} +(-4.20317 + 4.30853i) q^{42} -0.231369 q^{43} +(-9.72835 + 16.8500i) q^{44} +(0.619347 + 1.07274i) q^{45} +(-1.13751 - 1.97023i) q^{46} +(-6.67889 + 11.5682i) q^{47} +0.266205 q^{48} +(-0.173272 - 6.99786i) q^{49} -7.88440 q^{50} +(2.45436 - 4.25108i) q^{51} +(-1.44559 - 2.50384i) q^{52} +(-2.11340 - 3.66052i) q^{53} +(1.13751 - 1.97023i) q^{54} -7.58909 q^{55} +(4.94179 - 5.06567i) q^{56} +6.90370 q^{57} +(-3.82209 + 6.62005i) q^{58} +(0.377100 + 0.653157i) q^{59} +(-1.96688 - 3.40673i) q^{60} +(-1.78832 + 3.09747i) q^{61} +12.3701 q^{62} +(0.716350 + 2.54693i) q^{63} -13.0159 q^{64} +(0.563853 - 0.976623i) q^{65} +(6.96918 + 12.0710i) q^{66} +(2.24703 + 3.89197i) q^{67} +(-7.79440 + 13.5003i) q^{68} -1.00000 q^{69} +(7.22516 + 1.84043i) q^{70} +15.8575 q^{71} +(-1.33740 + 2.31645i) q^{72} +(2.13888 + 3.70465i) q^{73} +(-7.44689 - 12.8984i) q^{74} +(-1.73282 + 3.00133i) q^{75} -21.9243 q^{76} +(-15.7081 - 4.00126i) q^{77} -2.07118 q^{78} +(0.111008 - 0.192271i) q^{79} +(-0.164873 - 0.285569i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(2.86889 - 4.96906i) q^{82} +15.5197 q^{83} +(-2.27493 - 8.08835i) q^{84} -6.08041 q^{85} +(0.263184 - 0.455849i) q^{86} +(1.68002 + 2.90988i) q^{87} +(-8.19386 - 14.1922i) q^{88} +(-0.279682 + 0.484423i) q^{89} -2.81806 q^{90} +(1.68199 - 1.72415i) q^{91} +3.17573 q^{92} +(2.71868 - 4.70889i) q^{93} +(-15.1946 - 26.3179i) q^{94} +(-4.27579 - 7.40588i) q^{95} +(-2.97762 + 5.15739i) q^{96} +17.6476 q^{97} +(13.9845 + 7.61875i) q^{98} +6.12669 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q - 3q^{2} + 10q^{3} - 15q^{4} + 5q^{5} - 6q^{6} + 18q^{8} - 10q^{9} + O(q^{10}) \) \( 20q - 3q^{2} + 10q^{3} - 15q^{4} + 5q^{5} - 6q^{6} + 18q^{8} - 10q^{9} - 11q^{10} - 8q^{11} + 15q^{12} + 11q^{14} + 10q^{15} - 37q^{16} + 11q^{17} - 3q^{18} - q^{19} - 30q^{20} + 12q^{22} - 10q^{23} + 9q^{24} - 21q^{25} - q^{26} - 20q^{27} + 44q^{28} + 44q^{29} + 11q^{30} + 3q^{31} - 11q^{32} + 8q^{33} - 6q^{34} - 9q^{35} + 30q^{36} + 3q^{37} - 16q^{38} - 39q^{40} - 52q^{41} + 7q^{42} + 54q^{43} - 16q^{44} + 5q^{45} - 3q^{46} - 11q^{47} - 74q^{48} + 22q^{49} + 4q^{50} - 11q^{51} - 29q^{52} - 5q^{53} + 3q^{54} - 36q^{55} + 43q^{56} - 2q^{57} - 16q^{58} + 10q^{59} - 15q^{60} - 22q^{61} - 64q^{62} + 138q^{64} + 11q^{65} + 6q^{66} + 2q^{67} + 21q^{68} - 20q^{69} + 84q^{70} + 54q^{71} - 9q^{72} + 8q^{73} - 14q^{74} + 21q^{75} - 44q^{76} + 8q^{77} - 2q^{78} - 21q^{79} + 53q^{80} - 10q^{81} - 36q^{82} - 24q^{83} + 25q^{84} + 46q^{85} - 18q^{86} + 22q^{87} + 10q^{88} - 6q^{89} + 22q^{90} - 62q^{91} + 30q^{92} - 3q^{93} - 35q^{94} - 44q^{95} + 11q^{96} + 12q^{97} + 2q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.13751 + 1.97023i −0.804342 + 1.39316i 0.112392 + 0.993664i \(0.464149\pi\)
−0.916734 + 0.399497i \(0.869185\pi\)
\(3\) 0.500000 + 0.866025i 0.288675 + 0.500000i
\(4\) −1.58786 2.75026i −0.793932 1.37513i
\(5\) 0.619347 1.07274i 0.276980 0.479744i −0.693652 0.720310i \(-0.744000\pi\)
0.970633 + 0.240566i \(0.0773330\pi\)
\(6\) −2.27502 −0.928774
\(7\) 1.84753 1.89384i 0.698300 0.715805i
\(8\) 2.67481 0.945688
\(9\) −0.500000 + 0.866025i −0.166667 + 0.288675i
\(10\) 1.40903 + 2.44051i 0.445574 + 0.771757i
\(11\) −3.06335 5.30587i −0.923633 1.59978i −0.793745 0.608251i \(-0.791871\pi\)
−0.129889 0.991529i \(-0.541462\pi\)
\(12\) 1.58786 2.75026i 0.458377 0.793932i
\(13\) 0.910400 0.252500 0.126250 0.991998i \(-0.459706\pi\)
0.126250 + 0.991998i \(0.459706\pi\)
\(14\) 1.62971 + 5.79432i 0.435559 + 1.54860i
\(15\) 1.23869 0.319829
\(16\) 0.133103 0.230540i 0.0332756 0.0576351i
\(17\) −2.45436 4.25108i −0.595271 1.03104i −0.993509 0.113757i \(-0.963711\pi\)
0.398238 0.917282i \(-0.369622\pi\)
\(18\) −1.13751 1.97023i −0.268114 0.464387i
\(19\) 3.45185 5.97878i 0.791909 1.37163i −0.132875 0.991133i \(-0.542421\pi\)
0.924784 0.380493i \(-0.124246\pi\)
\(20\) −3.93376 −0.879614
\(21\) 2.56388 + 0.653086i 0.559484 + 0.142515i
\(22\) 13.9384 2.97167
\(23\) −0.500000 + 0.866025i −0.104257 + 0.180579i
\(24\) 1.33740 + 2.31645i 0.272997 + 0.472844i
\(25\) 1.73282 + 3.00133i 0.346564 + 0.600266i
\(26\) −1.03559 + 1.79370i −0.203096 + 0.351773i
\(27\) −1.00000 −0.192450
\(28\) −8.14219 2.07403i −1.53873 0.391954i
\(29\) 3.36004 0.623944 0.311972 0.950091i \(-0.399010\pi\)
0.311972 + 0.950091i \(0.399010\pi\)
\(30\) −1.40903 + 2.44051i −0.257252 + 0.445574i
\(31\) −2.71868 4.70889i −0.488289 0.845741i 0.511621 0.859211i \(-0.329045\pi\)
−0.999909 + 0.0134707i \(0.995712\pi\)
\(32\) 2.97762 + 5.15739i 0.526374 + 0.911706i
\(33\) 3.06335 5.30587i 0.533260 0.923633i
\(34\) 11.1675 1.91521
\(35\) −0.887339 3.15486i −0.149988 0.533269i
\(36\) 3.17573 0.529288
\(37\) −3.27333 + 5.66957i −0.538132 + 0.932071i 0.460873 + 0.887466i \(0.347536\pi\)
−0.999005 + 0.0446052i \(0.985797\pi\)
\(38\) 7.85304 + 13.6019i 1.27393 + 2.20651i
\(39\) 0.455200 + 0.788430i 0.0728903 + 0.126250i
\(40\) 1.65663 2.86938i 0.261937 0.453688i
\(41\) −2.52207 −0.393882 −0.196941 0.980415i \(-0.563101\pi\)
−0.196941 + 0.980415i \(0.563101\pi\)
\(42\) −4.20317 + 4.30853i −0.648563 + 0.664821i
\(43\) −0.231369 −0.0352834 −0.0176417 0.999844i \(-0.505616\pi\)
−0.0176417 + 0.999844i \(0.505616\pi\)
\(44\) −9.72835 + 16.8500i −1.46660 + 2.54023i
\(45\) 0.619347 + 1.07274i 0.0923268 + 0.159915i
\(46\) −1.13751 1.97023i −0.167717 0.290494i
\(47\) −6.67889 + 11.5682i −0.974217 + 1.68739i −0.291721 + 0.956503i \(0.594228\pi\)
−0.682496 + 0.730889i \(0.739105\pi\)
\(48\) 0.266205 0.0384234
\(49\) −0.173272 6.99786i −0.0247532 0.999694i
\(50\) −7.88440 −1.11502
\(51\) 2.45436 4.25108i 0.343680 0.595271i
\(52\) −1.44559 2.50384i −0.200468 0.347220i
\(53\) −2.11340 3.66052i −0.290298 0.502812i 0.683582 0.729874i \(-0.260421\pi\)
−0.973880 + 0.227062i \(0.927088\pi\)
\(54\) 1.13751 1.97023i 0.154796 0.268114i
\(55\) −7.58909 −1.02331
\(56\) 4.94179 5.06567i 0.660374 0.676928i
\(57\) 6.90370 0.914418
\(58\) −3.82209 + 6.62005i −0.501864 + 0.869255i
\(59\) 0.377100 + 0.653157i 0.0490943 + 0.0850338i 0.889528 0.456880i \(-0.151033\pi\)
−0.840434 + 0.541914i \(0.817700\pi\)
\(60\) −1.96688 3.40673i −0.253923 0.439807i
\(61\) −1.78832 + 3.09747i −0.228971 + 0.396590i −0.957503 0.288422i \(-0.906869\pi\)
0.728532 + 0.685011i \(0.240203\pi\)
\(62\) 12.3701 1.57100
\(63\) 0.716350 + 2.54693i 0.0902517 + 0.320883i
\(64\) −13.0159 −1.62699
\(65\) 0.563853 0.976623i 0.0699374 0.121135i
\(66\) 6.96918 + 12.0710i 0.857847 + 1.48583i
\(67\) 2.24703 + 3.89197i 0.274518 + 0.475479i 0.970013 0.243051i \(-0.0781483\pi\)
−0.695495 + 0.718531i \(0.744815\pi\)
\(68\) −7.79440 + 13.5003i −0.945209 + 1.63715i
\(69\) −1.00000 −0.120386
\(70\) 7.22516 + 1.84043i 0.863571 + 0.219974i
\(71\) 15.8575 1.88194 0.940968 0.338495i \(-0.109918\pi\)
0.940968 + 0.338495i \(0.109918\pi\)
\(72\) −1.33740 + 2.31645i −0.157615 + 0.272997i
\(73\) 2.13888 + 3.70465i 0.250337 + 0.433597i 0.963619 0.267281i \(-0.0861252\pi\)
−0.713281 + 0.700878i \(0.752792\pi\)
\(74\) −7.44689 12.8984i −0.865684 1.49941i
\(75\) −1.73282 + 3.00133i −0.200089 + 0.346564i
\(76\) −21.9243 −2.51489
\(77\) −15.7081 4.00126i −1.79010 0.455986i
\(78\) −2.07118 −0.234515
\(79\) 0.111008 0.192271i 0.0124893 0.0216322i −0.859713 0.510777i \(-0.829358\pi\)
0.872203 + 0.489145i \(0.162691\pi\)
\(80\) −0.164873 0.285569i −0.0184334 0.0319276i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 2.86889 4.96906i 0.316816 0.548741i
\(83\) 15.5197 1.70351 0.851753 0.523944i \(-0.175540\pi\)
0.851753 + 0.523944i \(0.175540\pi\)
\(84\) −2.27493 8.08835i −0.248216 0.882512i
\(85\) −6.08041 −0.659513
\(86\) 0.263184 0.455849i 0.0283799 0.0491554i
\(87\) 1.68002 + 2.90988i 0.180117 + 0.311972i
\(88\) −8.19386 14.1922i −0.873469 1.51289i
\(89\) −0.279682 + 0.484423i −0.0296462 + 0.0513487i −0.880468 0.474106i \(-0.842771\pi\)
0.850822 + 0.525455i \(0.176105\pi\)
\(90\) −2.81806 −0.297049
\(91\) 1.68199 1.72415i 0.176321 0.180740i
\(92\) 3.17573 0.331093
\(93\) 2.71868 4.70889i 0.281914 0.488289i
\(94\) −15.1946 26.3179i −1.56721 2.71448i
\(95\) −4.27579 7.40588i −0.438686 0.759827i
\(96\) −2.97762 + 5.15739i −0.303902 + 0.526374i
\(97\) 17.6476 1.79185 0.895923 0.444209i \(-0.146515\pi\)
0.895923 + 0.444209i \(0.146515\pi\)
\(98\) 13.9845 + 7.61875i 1.41264 + 0.769610i
\(99\) 6.12669 0.615756
\(100\) 5.50296 9.53141i 0.550296 0.953141i
\(101\) 4.06538 + 7.04144i 0.404520 + 0.700649i 0.994265 0.106940i \(-0.0341052\pi\)
−0.589745 + 0.807589i \(0.700772\pi\)
\(102\) 5.58374 + 9.67131i 0.552872 + 0.957603i
\(103\) 7.13975 12.3664i 0.703500 1.21850i −0.263730 0.964597i \(-0.584953\pi\)
0.967230 0.253902i \(-0.0817140\pi\)
\(104\) 2.43515 0.238786
\(105\) 2.28852 2.34589i 0.223337 0.228935i
\(106\) 9.61609 0.933997
\(107\) 3.27882 5.67908i 0.316975 0.549017i −0.662880 0.748726i \(-0.730666\pi\)
0.979855 + 0.199708i \(0.0639994\pi\)
\(108\) 1.58786 + 2.75026i 0.152792 + 0.264644i
\(109\) −9.11792 15.7927i −0.873338 1.51267i −0.858522 0.512776i \(-0.828617\pi\)
−0.0148158 0.999890i \(-0.504716\pi\)
\(110\) 8.63268 14.9522i 0.823094 1.42564i
\(111\) −6.54665 −0.621381
\(112\) −0.190696 0.678005i −0.0180191 0.0640655i
\(113\) −18.5945 −1.74922 −0.874610 0.484828i \(-0.838882\pi\)
−0.874610 + 0.484828i \(0.838882\pi\)
\(114\) −7.85304 + 13.6019i −0.735504 + 1.27393i
\(115\) 0.619347 + 1.07274i 0.0577544 + 0.100034i
\(116\) −5.33529 9.24099i −0.495369 0.858005i
\(117\) −0.455200 + 0.788430i −0.0420833 + 0.0728903i
\(118\) −1.71582 −0.157954
\(119\) −12.5854 3.20582i −1.15370 0.293877i
\(120\) 3.31327 0.302459
\(121\) −13.2682 + 22.9811i −1.20620 + 2.08919i
\(122\) −4.06847 7.04680i −0.368342 0.637988i
\(123\) −1.26104 2.18418i −0.113704 0.196941i
\(124\) −8.63378 + 14.9541i −0.775336 + 1.34292i
\(125\) 10.4863 0.937926
\(126\) −5.83288 1.48579i −0.519635 0.132364i
\(127\) −4.19807 −0.372518 −0.186259 0.982501i \(-0.559636\pi\)
−0.186259 + 0.982501i \(0.559636\pi\)
\(128\) 8.85049 15.3295i 0.782280 1.35495i
\(129\) −0.115684 0.200371i −0.0101854 0.0176417i
\(130\) 1.28278 + 2.22184i 0.112507 + 0.194868i
\(131\) −1.91771 + 3.32157i −0.167551 + 0.290207i −0.937558 0.347828i \(-0.886919\pi\)
0.770007 + 0.638035i \(0.220253\pi\)
\(132\) −19.4567 −1.69349
\(133\) −4.94547 17.5832i −0.428827 1.52466i
\(134\) −10.2241 −0.883226
\(135\) −0.619347 + 1.07274i −0.0533049 + 0.0923268i
\(136\) −6.56496 11.3708i −0.562940 0.975041i
\(137\) −3.62823 6.28428i −0.309981 0.536903i 0.668377 0.743823i \(-0.266989\pi\)
−0.978358 + 0.206920i \(0.933656\pi\)
\(138\) 1.13751 1.97023i 0.0968314 0.167717i
\(139\) 3.52170 0.298707 0.149353 0.988784i \(-0.452281\pi\)
0.149353 + 0.988784i \(0.452281\pi\)
\(140\) −7.26773 + 7.44991i −0.614235 + 0.629632i
\(141\) −13.3578 −1.12493
\(142\) −18.0381 + 31.2428i −1.51372 + 2.62184i
\(143\) −2.78887 4.83046i −0.233217 0.403944i
\(144\) 0.133103 + 0.230540i 0.0110919 + 0.0192117i
\(145\) 2.08103 3.60445i 0.172820 0.299333i
\(146\) −9.73201 −0.805427
\(147\) 5.97368 3.64899i 0.492701 0.300963i
\(148\) 20.7904 1.70896
\(149\) 5.46213 9.46069i 0.447475 0.775050i −0.550746 0.834673i \(-0.685657\pi\)
0.998221 + 0.0596230i \(0.0189899\pi\)
\(150\) −3.94220 6.82809i −0.321879 0.557512i
\(151\) 7.92677 + 13.7296i 0.645071 + 1.11730i 0.984285 + 0.176587i \(0.0565057\pi\)
−0.339214 + 0.940709i \(0.610161\pi\)
\(152\) 9.23304 15.9921i 0.748899 1.29713i
\(153\) 4.90873 0.396847
\(154\) 25.7515 26.3970i 2.07512 2.12713i
\(155\) −6.73521 −0.540985
\(156\) 1.44559 2.50384i 0.115740 0.200468i
\(157\) 4.59998 + 7.96740i 0.367118 + 0.635868i 0.989114 0.147153i \(-0.0470111\pi\)
−0.621995 + 0.783021i \(0.713678\pi\)
\(158\) 0.252545 + 0.437421i 0.0200914 + 0.0347993i
\(159\) 2.11340 3.66052i 0.167604 0.290298i
\(160\) 7.37672 0.583181
\(161\) 0.716350 + 2.54693i 0.0564563 + 0.200726i
\(162\) 2.27502 0.178743
\(163\) 0.824386 1.42788i 0.0645709 0.111840i −0.831933 0.554877i \(-0.812765\pi\)
0.896504 + 0.443036i \(0.146099\pi\)
\(164\) 4.00471 + 6.93636i 0.312715 + 0.541639i
\(165\) −3.79455 6.57235i −0.295405 0.511657i
\(166\) −17.6538 + 30.5773i −1.37020 + 2.37326i
\(167\) 5.46655 0.423015 0.211507 0.977376i \(-0.432163\pi\)
0.211507 + 0.977376i \(0.432163\pi\)
\(168\) 6.85789 + 1.74688i 0.529098 + 0.134775i
\(169\) −12.1712 −0.936244
\(170\) 6.91654 11.9798i 0.530474 0.918808i
\(171\) 3.45185 + 5.97878i 0.263970 + 0.457209i
\(172\) 0.367382 + 0.636324i 0.0280126 + 0.0485193i
\(173\) 0.254586 0.440956i 0.0193558 0.0335253i −0.856185 0.516669i \(-0.827172\pi\)
0.875541 + 0.483144i \(0.160505\pi\)
\(174\) −7.64417 −0.579503
\(175\) 8.88548 + 2.26336i 0.671679 + 0.171094i
\(176\) −1.63096 −0.122938
\(177\) −0.377100 + 0.653157i −0.0283446 + 0.0490943i
\(178\) −0.636282 1.10207i −0.0476914 0.0826039i
\(179\) −4.17543 7.23207i −0.312087 0.540550i 0.666727 0.745302i \(-0.267695\pi\)
−0.978814 + 0.204752i \(0.934361\pi\)
\(180\) 1.96688 3.40673i 0.146602 0.253923i
\(181\) −2.42861 −0.180517 −0.0902584 0.995918i \(-0.528769\pi\)
−0.0902584 + 0.995918i \(0.528769\pi\)
\(182\) 1.48369 + 5.27515i 0.109979 + 0.391020i
\(183\) −3.57664 −0.264393
\(184\) −1.33740 + 2.31645i −0.0985948 + 0.170771i
\(185\) 4.05465 + 7.02286i 0.298104 + 0.516331i
\(186\) 6.18505 + 10.7128i 0.453510 + 0.785502i
\(187\) −15.0371 + 26.0451i −1.09962 + 1.90460i
\(188\) 42.4207 3.09385
\(189\) −1.84753 + 1.89384i −0.134388 + 0.137757i
\(190\) 19.4550 1.41142
\(191\) 7.14656 12.3782i 0.517107 0.895656i −0.482696 0.875788i \(-0.660342\pi\)
0.999803 0.0198675i \(-0.00632445\pi\)
\(192\) −6.50795 11.2721i −0.469671 0.813494i
\(193\) −1.04502 1.81003i −0.0752225 0.130289i 0.825961 0.563728i \(-0.190633\pi\)
−0.901183 + 0.433439i \(0.857300\pi\)
\(194\) −20.0744 + 34.7699i −1.44126 + 2.49633i
\(195\) 1.12771 0.0807568
\(196\) −18.9708 + 11.5882i −1.35506 + 0.827728i
\(197\) 10.8863 0.775614 0.387807 0.921741i \(-0.373233\pi\)
0.387807 + 0.921741i \(0.373233\pi\)
\(198\) −6.96918 + 12.0710i −0.495278 + 0.857847i
\(199\) −1.72027 2.97959i −0.121946 0.211217i 0.798589 0.601877i \(-0.205580\pi\)
−0.920535 + 0.390660i \(0.872247\pi\)
\(200\) 4.63496 + 8.02799i 0.327741 + 0.567664i
\(201\) −2.24703 + 3.89197i −0.158493 + 0.274518i
\(202\) −18.4976 −1.30149
\(203\) 6.20777 6.36339i 0.435700 0.446622i
\(204\) −15.5888 −1.09143
\(205\) −1.56204 + 2.70553i −0.109097 + 0.188962i
\(206\) 16.2431 + 28.1339i 1.13171 + 1.96018i
\(207\) −0.500000 0.866025i −0.0347524 0.0601929i
\(208\) 0.121177 0.209884i 0.00840209 0.0145528i
\(209\) −42.2968 −2.92573
\(210\) 2.01872 + 7.17739i 0.139305 + 0.495287i
\(211\) 11.6690 0.803324 0.401662 0.915788i \(-0.368433\pi\)
0.401662 + 0.915788i \(0.368433\pi\)
\(212\) −6.71160 + 11.6248i −0.460955 + 0.798397i
\(213\) 7.92874 + 13.7330i 0.543268 + 0.940968i
\(214\) 7.45939 + 12.9200i 0.509913 + 0.883196i
\(215\) −0.143297 + 0.248198i −0.00977280 + 0.0169270i
\(216\) −2.67481 −0.181998
\(217\) −13.9407 3.55106i −0.946357 0.241062i
\(218\) 41.4869 2.80985
\(219\) −2.13888 + 3.70465i −0.144532 + 0.250337i
\(220\) 12.0504 + 20.8720i 0.812441 + 1.40719i
\(221\) −2.23445 3.87019i −0.150306 0.260337i
\(222\) 7.44689 12.8984i 0.499803 0.865684i
\(223\) 2.48168 0.166185 0.0830926 0.996542i \(-0.473520\pi\)
0.0830926 + 0.996542i \(0.473520\pi\)
\(224\) 15.2685 + 3.88929i 1.02017 + 0.259864i
\(225\) −3.46564 −0.231043
\(226\) 21.1514 36.6353i 1.40697 2.43694i
\(227\) 11.0247 + 19.0954i 0.731738 + 1.26741i 0.956140 + 0.292910i \(0.0946237\pi\)
−0.224402 + 0.974497i \(0.572043\pi\)
\(228\) −10.9621 18.9870i −0.725985 1.25744i
\(229\) −7.37334 + 12.7710i −0.487244 + 0.843932i −0.999892 0.0146672i \(-0.995331\pi\)
0.512648 + 0.858599i \(0.328664\pi\)
\(230\) −2.81806 −0.185817
\(231\) −4.38886 15.6042i −0.288766 1.02668i
\(232\) 8.98747 0.590056
\(233\) 1.70807 2.95847i 0.111900 0.193816i −0.804637 0.593768i \(-0.797640\pi\)
0.916536 + 0.399952i \(0.130973\pi\)
\(234\) −1.03559 1.79370i −0.0676987 0.117258i
\(235\) 8.27310 + 14.3294i 0.539678 + 0.934749i
\(236\) 1.19757 2.07425i 0.0779550 0.135022i
\(237\) 0.222015 0.0144215
\(238\) 20.6322 21.1494i 1.33739 1.37091i
\(239\) −10.8751 −0.703453 −0.351727 0.936103i \(-0.614405\pi\)
−0.351727 + 0.936103i \(0.614405\pi\)
\(240\) 0.164873 0.285569i 0.0106425 0.0184334i
\(241\) 10.6982 + 18.5299i 0.689134 + 1.19361i 0.972119 + 0.234490i \(0.0753421\pi\)
−0.282985 + 0.959124i \(0.591325\pi\)
\(242\) −30.1854 52.2826i −1.94039 3.36085i
\(243\) 0.500000 0.866025i 0.0320750 0.0555556i
\(244\) 11.3585 0.727150
\(245\) −7.61420 4.14822i −0.486453 0.265020i
\(246\) 5.73777 0.365827
\(247\) 3.14257 5.44308i 0.199957 0.346335i
\(248\) −7.27194 12.5954i −0.461769 0.799807i
\(249\) 7.75984 + 13.4404i 0.491760 + 0.851753i
\(250\) −11.9283 + 20.6605i −0.754413 + 1.30668i
\(251\) 4.68560 0.295752 0.147876 0.989006i \(-0.452756\pi\)
0.147876 + 0.989006i \(0.452756\pi\)
\(252\) 5.86725 6.01433i 0.369602 0.378867i
\(253\) 6.12669 0.385182
\(254\) 4.77535 8.27115i 0.299632 0.518978i
\(255\) −3.04021 5.26579i −0.190385 0.329757i
\(256\) 7.11917 + 12.3308i 0.444948 + 0.770673i
\(257\) 13.5087 23.3978i 0.842650 1.45951i −0.0449969 0.998987i \(-0.514328\pi\)
0.887647 0.460525i \(-0.152339\pi\)
\(258\) 0.526369 0.0327703
\(259\) 4.68970 + 16.6739i 0.291404 + 1.03606i
\(260\) −3.58129 −0.222102
\(261\) −1.68002 + 2.90988i −0.103991 + 0.180117i
\(262\) −4.36283 7.55664i −0.269536 0.466851i
\(263\) 10.0032 + 17.3260i 0.616822 + 1.06837i 0.990062 + 0.140632i \(0.0449134\pi\)
−0.373240 + 0.927735i \(0.621753\pi\)
\(264\) 8.19386 14.1922i 0.504297 0.873469i
\(265\) −5.23572 −0.321628
\(266\) 40.2685 + 10.2574i 2.46902 + 0.628923i
\(267\) −0.559363 −0.0342325
\(268\) 7.13595 12.3598i 0.435898 0.754997i
\(269\) 3.14036 + 5.43926i 0.191471 + 0.331638i 0.945738 0.324930i \(-0.105341\pi\)
−0.754267 + 0.656568i \(0.772008\pi\)
\(270\) −1.40903 2.44051i −0.0857507 0.148525i
\(271\) −12.7101 + 22.0146i −0.772085 + 1.33729i 0.164333 + 0.986405i \(0.447453\pi\)
−0.936418 + 0.350886i \(0.885881\pi\)
\(272\) −1.30673 −0.0792321
\(273\) 2.33416 + 0.594570i 0.141270 + 0.0359850i
\(274\) 16.5086 0.997323
\(275\) 10.6164 18.3882i 0.640196 1.10885i
\(276\) 1.58786 + 2.75026i 0.0955782 + 0.165546i
\(277\) 7.57054 + 13.1126i 0.454869 + 0.787857i 0.998681 0.0513506i \(-0.0163526\pi\)
−0.543811 + 0.839208i \(0.683019\pi\)
\(278\) −4.00597 + 6.93855i −0.240262 + 0.416146i
\(279\) 5.43735 0.325526
\(280\) −2.37346 8.43866i −0.141841 0.504306i
\(281\) −27.3149 −1.62947 −0.814736 0.579833i \(-0.803118\pi\)
−0.814736 + 0.579833i \(0.803118\pi\)
\(282\) 15.1946 26.3179i 0.904827 1.56721i
\(283\) −4.27130 7.39812i −0.253903 0.439772i 0.710694 0.703501i \(-0.248381\pi\)
−0.964597 + 0.263729i \(0.915048\pi\)
\(284\) −25.1795 43.6122i −1.49413 2.58791i
\(285\) 4.27579 7.40588i 0.253276 0.438686i
\(286\) 12.6895 0.750345
\(287\) −4.65960 + 4.77641i −0.275048 + 0.281942i
\(288\) −5.95524 −0.350916
\(289\) −3.54781 + 6.14499i −0.208695 + 0.361470i
\(290\) 4.73439 + 8.20021i 0.278013 + 0.481533i
\(291\) 8.82382 + 15.2833i 0.517261 + 0.895923i
\(292\) 6.79251 11.7650i 0.397502 0.688493i
\(293\) 13.6153 0.795413 0.397707 0.917513i \(-0.369806\pi\)
0.397707 + 0.917513i \(0.369806\pi\)
\(294\) 0.394198 + 15.9203i 0.0229901 + 0.928490i
\(295\) 0.934224 0.0543926
\(296\) −8.75552 + 15.1650i −0.508905 + 0.881449i
\(297\) 3.06335 + 5.30587i 0.177753 + 0.307878i
\(298\) 12.4265 + 21.5233i 0.719847 + 1.24681i
\(299\) −0.455200 + 0.788430i −0.0263249 + 0.0455961i
\(300\) 11.0059 0.635427
\(301\) −0.427460 + 0.438176i −0.0246384 + 0.0252560i
\(302\) −36.0672 −2.07543
\(303\) −4.06538 + 7.04144i −0.233550 + 0.404520i
\(304\) −0.918900 1.59158i −0.0527026 0.0912835i
\(305\) 2.21518 + 3.83681i 0.126841 + 0.219695i
\(306\) −5.58374 + 9.67131i −0.319201 + 0.552872i
\(307\) −1.94494 −0.111003 −0.0555017 0.998459i \(-0.517676\pi\)
−0.0555017 + 0.998459i \(0.517676\pi\)
\(308\) 13.9378 + 49.5548i 0.794181 + 2.82365i
\(309\) 14.2795 0.812332
\(310\) 7.66138 13.2699i 0.435137 0.753680i
\(311\) 7.10098 + 12.2993i 0.402660 + 0.697427i 0.994046 0.108961i \(-0.0347525\pi\)
−0.591386 + 0.806388i \(0.701419\pi\)
\(312\) 1.21757 + 2.10890i 0.0689315 + 0.119393i
\(313\) 2.10228 3.64126i 0.118828 0.205816i −0.800475 0.599366i \(-0.795420\pi\)
0.919304 + 0.393549i \(0.128753\pi\)
\(314\) −20.9301 −1.18115
\(315\) 3.17586 + 0.808974i 0.178940 + 0.0455805i
\(316\) −0.705061 −0.0396628
\(317\) −0.369216 + 0.639501i −0.0207373 + 0.0359180i −0.876208 0.481933i \(-0.839935\pi\)
0.855471 + 0.517851i \(0.173268\pi\)
\(318\) 4.80804 + 8.32778i 0.269622 + 0.466998i
\(319\) −10.2930 17.8279i −0.576295 0.998173i
\(320\) −8.06136 + 13.9627i −0.450644 + 0.780537i
\(321\) 6.55764 0.366012
\(322\) −5.83288 1.48579i −0.325054 0.0827996i
\(323\) −33.8884 −1.88560
\(324\) −1.58786 + 2.75026i −0.0882147 + 0.152792i
\(325\) 1.57756 + 2.73241i 0.0875072 + 0.151567i
\(326\) 1.87550 + 3.24846i 0.103874 + 0.179915i
\(327\) 9.11792 15.7927i 0.504222 0.873338i
\(328\) −6.74607 −0.372489
\(329\) 9.56886 + 34.0213i 0.527548 + 1.87566i
\(330\) 17.2654 0.950427
\(331\) 10.2994 17.8392i 0.566108 0.980528i −0.430837 0.902430i \(-0.641782\pi\)
0.996946 0.0780988i \(-0.0248850\pi\)
\(332\) −24.6431 42.6832i −1.35247 2.34254i
\(333\) −3.27333 5.66957i −0.179377 0.310690i
\(334\) −6.21827 + 10.7704i −0.340248 + 0.589327i
\(335\) 5.56676 0.304145
\(336\) 0.491822 0.504150i 0.0268311 0.0275037i
\(337\) −27.9032 −1.51999 −0.759993 0.649932i \(-0.774797\pi\)
−0.759993 + 0.649932i \(0.774797\pi\)
\(338\) 13.8448 23.9800i 0.753060 1.30434i
\(339\) −9.29723 16.1033i −0.504956 0.874610i
\(340\) 9.65487 + 16.7227i 0.523609 + 0.906917i
\(341\) −16.6565 + 28.8499i −0.901999 + 1.56231i
\(342\) −15.7061 −0.849287
\(343\) −13.5730 12.6006i −0.732871 0.680368i
\(344\) −0.618867 −0.0333671
\(345\) −0.619347 + 1.07274i −0.0333445 + 0.0577544i
\(346\) 0.579189 + 1.00319i 0.0311374 + 0.0539316i
\(347\) 1.04267 + 1.80595i 0.0559732 + 0.0969485i 0.892654 0.450742i \(-0.148841\pi\)
−0.836681 + 0.547690i \(0.815507\pi\)
\(348\) 5.33529 9.24099i 0.286002 0.495369i
\(349\) −4.04322 −0.216429 −0.108214 0.994128i \(-0.534513\pi\)
−0.108214 + 0.994128i \(0.534513\pi\)
\(350\) −14.5667 + 14.9318i −0.778621 + 0.798139i
\(351\) −0.910400 −0.0485936
\(352\) 18.2430 31.5977i 0.972353 1.68416i
\(353\) 2.25397 + 3.90398i 0.119966 + 0.207788i 0.919754 0.392495i \(-0.128388\pi\)
−0.799788 + 0.600283i \(0.795055\pi\)
\(354\) −0.857912 1.48595i −0.0455975 0.0789772i
\(355\) 9.82128 17.0110i 0.521259 0.902848i
\(356\) 1.77639 0.0941483
\(357\) −3.51637 12.5022i −0.186106 0.661686i
\(358\) 18.9984 1.00410
\(359\) 10.4069 18.0252i 0.549254 0.951336i −0.449072 0.893496i \(-0.648245\pi\)
0.998326 0.0578401i \(-0.0184213\pi\)
\(360\) 1.65663 + 2.86938i 0.0873123 + 0.151229i
\(361\) −14.3305 24.8212i −0.754239 1.30638i
\(362\) 2.76257 4.78490i 0.145197 0.251489i
\(363\) −26.5363 −1.39280
\(364\) −7.41265 1.88819i −0.388528 0.0989682i
\(365\) 5.29884 0.277354
\(366\) 4.06847 7.04680i 0.212663 0.368342i
\(367\) −4.28609 7.42373i −0.223732 0.387515i 0.732206 0.681083i \(-0.238491\pi\)
−0.955938 + 0.293568i \(0.905157\pi\)
\(368\) 0.133103 + 0.230540i 0.00693845 + 0.0120178i
\(369\) 1.26104 2.18418i 0.0656470 0.113704i
\(370\) −18.4488 −0.959109
\(371\) −10.8370 2.76047i −0.562631 0.143317i
\(372\) −17.2676 −0.895281
\(373\) 0.727535 1.26013i 0.0376703 0.0652470i −0.846576 0.532269i \(-0.821340\pi\)
0.884246 + 0.467022i \(0.154673\pi\)
\(374\) −34.2098 59.2531i −1.76895 3.06391i
\(375\) 5.24317 + 9.08143i 0.270756 + 0.468963i
\(376\) −17.8648 + 30.9427i −0.921305 + 1.59575i
\(377\) 3.05898 0.157546
\(378\) −1.62971 5.79432i −0.0838234 0.298028i
\(379\) −2.61370 −0.134257 −0.0671283 0.997744i \(-0.521384\pi\)
−0.0671283 + 0.997744i \(0.521384\pi\)
\(380\) −13.5787 + 23.5191i −0.696574 + 1.20650i
\(381\) −2.09903 3.63563i −0.107537 0.186259i
\(382\) 16.2586 + 28.1607i 0.831862 + 1.44083i
\(383\) 5.66013 9.80363i 0.289219 0.500942i −0.684404 0.729103i \(-0.739938\pi\)
0.973624 + 0.228160i \(0.0732711\pi\)
\(384\) 17.7010 0.903300
\(385\) −14.0211 + 14.3725i −0.714580 + 0.732492i
\(386\) 4.75491 0.242018
\(387\) 0.115684 0.200371i 0.00588056 0.0101854i
\(388\) −28.0221 48.5356i −1.42260 2.46402i
\(389\) 15.4855 + 26.8217i 0.785147 + 1.35991i 0.928911 + 0.370302i \(0.120746\pi\)
−0.143765 + 0.989612i \(0.545921\pi\)
\(390\) −1.28278 + 2.22184i −0.0649561 + 0.112507i
\(391\) 4.90873 0.248245
\(392\) −0.463470 18.7179i −0.0234088 0.945398i
\(393\) −3.83542 −0.193471
\(394\) −12.3833 + 21.4484i −0.623859 + 1.08056i
\(395\) −0.137505 0.238165i −0.00691861 0.0119834i
\(396\) −9.72835 16.8500i −0.488868 0.846744i
\(397\) −12.5198 + 21.6849i −0.628350 + 1.08833i 0.359533 + 0.933132i \(0.382936\pi\)
−0.987883 + 0.155201i \(0.950397\pi\)
\(398\) 7.82728 0.392346
\(399\) 12.7548 13.0745i 0.638538 0.654545i
\(400\) 0.922571 0.0461285
\(401\) −17.4873 + 30.2888i −0.873272 + 1.51255i −0.0146791 + 0.999892i \(0.504673\pi\)
−0.858593 + 0.512659i \(0.828661\pi\)
\(402\) −5.11204 8.85431i −0.254965 0.441613i
\(403\) −2.47508 4.28697i −0.123293 0.213549i
\(404\) 12.9105 22.3617i 0.642323 1.11254i
\(405\) −1.23869 −0.0615512
\(406\) 5.47590 + 19.4692i 0.271765 + 0.966238i
\(407\) 40.1093 1.98815
\(408\) 6.56496 11.3708i 0.325014 0.562940i
\(409\) 12.0852 + 20.9322i 0.597576 + 1.03503i 0.993178 + 0.116610i \(0.0372026\pi\)
−0.395602 + 0.918422i \(0.629464\pi\)
\(410\) −3.55367 6.15514i −0.175503 0.303981i
\(411\) 3.62823 6.28428i 0.178968 0.309981i
\(412\) −45.3478 −2.23413
\(413\) 1.93368 + 0.492558i 0.0951501 + 0.0242372i
\(414\) 2.27502 0.111811
\(415\) 9.61206 16.6486i 0.471838 0.817247i
\(416\) 2.71083 + 4.69529i 0.132909 + 0.230205i
\(417\) 1.76085 + 3.04988i 0.0862292 + 0.149353i
\(418\) 48.1131 83.3344i 2.35329 4.07602i
\(419\) −19.9385 −0.974059 −0.487029 0.873386i \(-0.661920\pi\)
−0.487029 + 0.873386i \(0.661920\pi\)
\(420\) −10.0857 2.56908i −0.492131 0.125358i
\(421\) −36.1003 −1.75942 −0.879711 0.475508i \(-0.842264\pi\)
−0.879711 + 0.475508i \(0.842264\pi\)
\(422\) −13.2736 + 22.9905i −0.646147 + 1.11916i
\(423\) −6.67889 11.5682i −0.324739 0.562464i
\(424\) −5.65295 9.79120i −0.274532 0.475503i
\(425\) 8.50594 14.7327i 0.412599 0.714642i
\(426\) −36.0761 −1.74789
\(427\) 2.56213 + 9.10946i 0.123990 + 0.440837i
\(428\) −20.8253 −1.00663
\(429\) 2.78887 4.83046i 0.134648 0.233217i
\(430\) −0.326005 0.564657i −0.0157214 0.0272302i
\(431\) −5.43385 9.41171i −0.261739 0.453346i 0.704965 0.709242i \(-0.250963\pi\)
−0.966704 + 0.255896i \(0.917629\pi\)
\(432\) −0.133103 + 0.230540i −0.00640390 + 0.0110919i
\(433\) −26.1898 −1.25860 −0.629301 0.777161i \(-0.716659\pi\)
−0.629301 + 0.777161i \(0.716659\pi\)
\(434\) 22.8541 23.4270i 1.09703 1.12453i
\(435\) 4.16206 0.199556
\(436\) −28.9560 + 50.1533i −1.38674 + 2.40191i
\(437\) 3.45185 + 5.97878i 0.165124 + 0.286004i
\(438\) −4.86601 8.42817i −0.232507 0.402713i
\(439\) 15.7031 27.1986i 0.749468 1.29812i −0.198611 0.980078i \(-0.563643\pi\)
0.948078 0.318037i \(-0.103024\pi\)
\(440\) −20.2994 −0.967735
\(441\) 6.14696 + 3.34887i 0.292712 + 0.159470i
\(442\) 10.1669 0.483589
\(443\) 4.53943 7.86253i 0.215675 0.373560i −0.737806 0.675013i \(-0.764138\pi\)
0.953481 + 0.301453i \(0.0974715\pi\)
\(444\) 10.3952 + 18.0050i 0.493334 + 0.854480i
\(445\) 0.346440 + 0.600052i 0.0164228 + 0.0284452i
\(446\) −2.82293 + 4.88947i −0.133670 + 0.231523i
\(447\) 10.9243 0.516700
\(448\) −24.0473 + 24.6501i −1.13613 + 1.16461i
\(449\) 23.9369 1.12965 0.564825 0.825211i \(-0.308944\pi\)
0.564825 + 0.825211i \(0.308944\pi\)
\(450\) 3.94220 6.82809i 0.185837 0.321879i
\(451\) 7.72598 + 13.3818i 0.363802 + 0.630124i
\(452\) 29.5255 + 51.1396i 1.38876 + 2.40541i
\(453\) −7.92677 + 13.7296i −0.372432 + 0.645071i
\(454\) −50.1631 −2.35427
\(455\) −0.807833 2.87219i −0.0378718 0.134650i
\(456\) 18.4661 0.864754
\(457\) 2.40518 4.16589i 0.112509 0.194872i −0.804272 0.594261i \(-0.797444\pi\)
0.916781 + 0.399389i \(0.130778\pi\)
\(458\) −16.7745 29.0543i −0.783822 1.35762i
\(459\) 2.45436 + 4.25108i 0.114560 + 0.198424i
\(460\) 1.96688 3.40673i 0.0917061 0.158840i
\(461\) 23.4694 1.09308 0.546540 0.837433i \(-0.315945\pi\)
0.546540 + 0.837433i \(0.315945\pi\)
\(462\) 35.7363 + 9.10295i 1.66260 + 0.423508i
\(463\) 23.4343 1.08908 0.544542 0.838733i \(-0.316703\pi\)
0.544542 + 0.838733i \(0.316703\pi\)
\(464\) 0.447230 0.774625i 0.0207621 0.0359611i
\(465\) −3.36761 5.83287i −0.156169 0.270493i
\(466\) 3.88591 + 6.73059i 0.180011 + 0.311789i
\(467\) −6.72528 + 11.6485i −0.311209 + 0.539029i −0.978624 0.205656i \(-0.934067\pi\)
0.667416 + 0.744685i \(0.267400\pi\)
\(468\) 2.89118 0.133645
\(469\) 11.5222 + 2.93501i 0.532047 + 0.135526i
\(470\) −37.6430 −1.73634
\(471\) −4.59998 + 7.96740i −0.211956 + 0.367118i
\(472\) 1.00867 + 1.74707i 0.0464279 + 0.0804154i
\(473\) 0.708762 + 1.22761i 0.0325889 + 0.0564456i
\(474\) −0.252545 + 0.437421i −0.0115998 + 0.0200914i
\(475\) 23.9257 1.09779
\(476\) 11.1670 + 39.7035i 0.511840 + 1.81981i
\(477\) 4.22681 0.193532
\(478\) 12.3706 21.4265i 0.565817 0.980023i
\(479\) −3.38082 5.85575i −0.154474 0.267556i 0.778394 0.627777i \(-0.216035\pi\)
−0.932867 + 0.360220i \(0.882701\pi\)
\(480\) 3.68836 + 6.38843i 0.168350 + 0.291590i
\(481\) −2.98004 + 5.16158i −0.135878 + 0.235348i
\(482\) −48.6774 −2.21720
\(483\) −1.84753 + 1.89384i −0.0840655 + 0.0861728i
\(484\) 84.2722 3.83055
\(485\) 10.9300 18.9313i 0.496306 0.859627i
\(486\) 1.13751 + 1.97023i 0.0515986 + 0.0893713i
\(487\) −9.93329 17.2050i −0.450121 0.779632i 0.548273 0.836300i \(-0.315286\pi\)
−0.998393 + 0.0566681i \(0.981952\pi\)
\(488\) −4.78342 + 8.28513i −0.216535 + 0.375050i
\(489\) 1.64877 0.0745601
\(490\) 16.8342 10.2830i 0.760491 0.464541i
\(491\) 4.20340 0.189697 0.0948483 0.995492i \(-0.469763\pi\)
0.0948483 + 0.995492i \(0.469763\pi\)
\(492\) −4.00471 + 6.93636i −0.180546 + 0.312715i
\(493\) −8.24677 14.2838i −0.371416 0.643311i
\(494\) 7.14941 + 12.3831i 0.321667 + 0.557144i
\(495\) 3.79455 6.57235i 0.170552 0.295405i
\(496\) −1.44745 −0.0649925
\(497\) 29.2972 30.0316i 1.31416 1.34710i
\(498\) −35.3076 −1.58217
\(499\) −3.47420 + 6.01749i −0.155527 + 0.269380i −0.933251 0.359226i \(-0.883041\pi\)
0.777724 + 0.628606i \(0.216374\pi\)
\(500\) −16.6509 28.8402i −0.744650 1.28977i
\(501\) 2.73328 + 4.73417i 0.122114 + 0.211507i
\(502\) −5.32992 + 9.23169i −0.237886 + 0.412030i
\(503\) 5.90346 0.263222 0.131611 0.991301i \(-0.457985\pi\)
0.131611 + 0.991301i \(0.457985\pi\)
\(504\) 1.91610 + 6.81255i 0.0853499 + 0.303455i
\(505\) 10.0715 0.448176
\(506\) −6.96918 + 12.0710i −0.309818 + 0.536620i
\(507\) −6.08559 10.5405i −0.270270 0.468122i
\(508\) 6.66596 + 11.5458i 0.295754 + 0.512261i
\(509\) 13.3324 23.0923i 0.590947 1.02355i −0.403158 0.915130i \(-0.632088\pi\)
0.994105 0.108420i \(-0.0345790\pi\)
\(510\) 13.8331 0.612539
\(511\) 10.9677 + 2.79375i 0.485181 + 0.123588i
\(512\) 3.00941 0.132998
\(513\) −3.45185 + 5.97878i −0.152403 + 0.263970i
\(514\) 30.7326 + 53.2304i 1.35556 + 2.34789i
\(515\) −8.84396 15.3182i −0.389712 0.675000i
\(516\) −0.367382 + 0.636324i −0.0161731 + 0.0280126i
\(517\) 81.8390 3.59928
\(518\) −38.1859 9.72693i −1.67779 0.427377i
\(519\) 0.509172 0.0223502
\(520\) 1.50820 2.61228i 0.0661390 0.114556i
\(521\) −2.65655 4.60129i −0.116386 0.201586i 0.801947 0.597395i \(-0.203798\pi\)
−0.918333 + 0.395809i \(0.870464\pi\)
\(522\) −3.82209 6.62005i −0.167288 0.289752i
\(523\) −8.51931 + 14.7559i −0.372524 + 0.645230i −0.989953 0.141397i \(-0.954841\pi\)
0.617430 + 0.786626i \(0.288174\pi\)
\(524\) 12.1802 0.532096
\(525\) 2.48261 + 8.82673i 0.108350 + 0.385230i
\(526\) −45.5149 −1.98454
\(527\) −13.3452 + 23.1146i −0.581328 + 1.00689i
\(528\) −0.815478 1.41245i −0.0354891 0.0614690i
\(529\) −0.500000 0.866025i −0.0217391 0.0376533i
\(530\) 5.95569 10.3156i 0.258699 0.448079i
\(531\) −0.754201 −0.0327295
\(532\) −40.5057 + 41.5211i −1.75615 + 1.80017i
\(533\) −2.29610 −0.0994550
\(534\) 0.636282 1.10207i 0.0275346 0.0476914i
\(535\) −4.06145 7.03464i −0.175592 0.304134i
\(536\) 6.01037 + 10.4103i 0.259609 + 0.449655i
\(537\) 4.17543 7.23207i 0.180183 0.312087i
\(538\) −14.2888 −0.616033
\(539\) −36.5989 + 22.3562i −1.57643 + 0.962950i
\(540\) 3.93376 0.169282
\(541\) −19.3980 + 33.5984i −0.833986 + 1.44451i 0.0608675 + 0.998146i \(0.480613\pi\)
−0.894853 + 0.446360i \(0.852720\pi\)
\(542\) −28.9158 50.0837i −1.24204 2.15128i
\(543\) −1.21430 2.10323i −0.0521107 0.0902584i
\(544\) 14.6163 25.3162i 0.626670 1.08542i
\(545\) −22.5886 −0.967590
\(546\) −3.82657 + 3.92249i −0.163762 + 0.167867i
\(547\) 29.7356 1.27140 0.635701 0.771935i \(-0.280711\pi\)
0.635701 + 0.771935i \(0.280711\pi\)
\(548\) −11.5223 + 19.9572i −0.492208 + 0.852529i
\(549\) −1.78832 3.09747i −0.0763237 0.132197i
\(550\) 24.1527 + 41.8336i 1.02987 + 1.78379i
\(551\) 11.5984 20.0889i 0.494107 0.855818i
\(552\) −2.67481 −0.113847
\(553\) −0.159041 0.565457i −0.00676311 0.0240457i
\(554\) −34.4463 −1.46348
\(555\) −4.05465 + 7.02286i −0.172110 + 0.298104i
\(556\) −5.59198 9.68559i −0.237153 0.410761i
\(557\) 16.7822 + 29.0677i 0.711086 + 1.23164i 0.964450 + 0.264266i \(0.0851297\pi\)
−0.253364 + 0.967371i \(0.581537\pi\)
\(558\) −6.18505 + 10.7128i −0.261834 + 0.453510i
\(559\) −0.210638 −0.00890904
\(560\) −0.845431 0.215353i −0.0357260 0.00910033i
\(561\) −30.0743 −1.26974
\(562\) 31.0710 53.8166i 1.31065 2.27012i
\(563\) 15.2766 + 26.4598i 0.643831 + 1.11515i 0.984570 + 0.174991i \(0.0559895\pi\)
−0.340739 + 0.940158i \(0.610677\pi\)
\(564\) 21.2104 + 36.7374i 0.893117 + 1.54692i
\(565\) −11.5164 + 19.9470i −0.484499 + 0.839178i
\(566\) 19.4346 0.816898
\(567\) −2.56388 0.653086i −0.107673 0.0274270i
\(568\) 42.4157 1.77972
\(569\) −21.0580 + 36.4735i −0.882797 + 1.52905i −0.0345799 + 0.999402i \(0.511009\pi\)
−0.848218 + 0.529648i \(0.822324\pi\)
\(570\) 9.72751 + 16.8485i 0.407441 + 0.705708i
\(571\) −3.25852 5.64391i −0.136365 0.236190i 0.789753 0.613425i \(-0.210209\pi\)
−0.926118 + 0.377234i \(0.876875\pi\)
\(572\) −8.85669 + 15.3402i −0.370317 + 0.641408i
\(573\) 14.2931 0.597104
\(574\) −4.11026 14.6137i −0.171559 0.609964i
\(575\) −3.46564 −0.144527
\(576\) 6.50795 11.2721i 0.271165 0.469671i
\(577\) −20.7678 35.9709i −0.864575 1.49749i −0.867468 0.497492i \(-0.834254\pi\)
0.00289316 0.999996i \(-0.499079\pi\)
\(578\) −8.07135 13.9800i −0.335724 0.581491i
\(579\) 1.04502 1.81003i 0.0434297 0.0752225i
\(580\) −13.2176 −0.548830
\(581\) 28.6731 29.3918i 1.18956 1.21938i
\(582\) −40.1488 −1.66422
\(583\) −12.9482 + 22.4269i −0.536259 + 0.928827i
\(584\) 5.72110 + 9.90924i 0.236741 + 0.410047i
\(585\) 0.563853 + 0.976623i 0.0233125 + 0.0403784i
\(586\) −15.4875 + 26.8252i −0.639784 + 1.10814i
\(587\) 12.6109 0.520506 0.260253 0.965540i \(-0.416194\pi\)
0.260253 + 0.965540i \(0.416194\pi\)
\(588\) −19.5211 10.6351i −0.805035 0.438584i
\(589\) −37.5379 −1.54672
\(590\) −1.06269 + 1.84063i −0.0437503 + 0.0757777i
\(591\) 5.44313 + 9.42778i 0.223901 + 0.387807i
\(592\) 0.871376 + 1.50927i 0.0358134 + 0.0620305i
\(593\) −5.19295 + 8.99445i −0.213249 + 0.369358i −0.952729 0.303820i \(-0.901738\pi\)
0.739481 + 0.673178i \(0.235071\pi\)
\(594\) −13.9384 −0.571898
\(595\) −11.2337 + 11.5153i −0.460538 + 0.472083i
\(596\) −34.6925 −1.42106
\(597\) 1.72027 2.97959i 0.0704058 0.121946i
\(598\) −1.03559 1.79370i −0.0423484 0.0733497i
\(599\) −14.0179 24.2797i −0.572757 0.992044i −0.996281 0.0861591i \(-0.972541\pi\)
0.423525 0.905885i \(-0.360793\pi\)
\(600\) −4.63496 + 8.02799i −0.189221 + 0.327741i
\(601\) 3.81190 0.155491 0.0777454 0.996973i \(-0.475228\pi\)
0.0777454 + 0.996973i \(0.475228\pi\)
\(602\) −0.377065 1.34062i −0.0153680 0.0546397i
\(603\) −4.49406 −0.183012
\(604\) 25.1733 43.6014i 1.02429 1.77411i
\(605\) 16.4352 + 28.4666i 0.668186 + 1.15733i
\(606\) −9.24882 16.0194i −0.375708 0.650745i
\(607\) −0.0799650 + 0.138503i −0.00324568 + 0.00562168i −0.867644 0.497187i \(-0.834366\pi\)
0.864398 + 0.502808i \(0.167700\pi\)
\(608\) 41.1132 1.66736
\(609\) 8.61474 + 2.19440i 0.349087 + 0.0889215i
\(610\) −10.0792 −0.408094
\(611\) −6.08047 + 10.5317i −0.245989 + 0.426066i
\(612\) −7.79440 13.5003i −0.315070 0.545717i
\(613\) 8.26694 + 14.3188i 0.333899 + 0.578329i 0.983273 0.182140i \(-0.0583023\pi\)
−0.649374 + 0.760469i \(0.724969\pi\)
\(614\) 2.21239 3.83197i 0.0892846 0.154646i
\(615\) −3.12408 −0.125975
\(616\) −42.0162 10.7026i −1.69288 0.431220i
\(617\) 35.8727 1.44418 0.722091 0.691798i \(-0.243181\pi\)
0.722091 + 0.691798i \(0.243181\pi\)
\(618\) −16.2431 + 28.1339i −0.653393 + 1.13171i
\(619\) 18.3475 + 31.7788i 0.737448 + 1.27730i 0.953641 + 0.300947i \(0.0973028\pi\)
−0.216192 + 0.976351i \(0.569364\pi\)
\(620\) 10.6946 + 18.5236i 0.429506 + 0.743926i
\(621\) 0.500000 0.866025i 0.0200643 0.0347524i
\(622\) −32.3098 −1.29550
\(623\) 0.400700 + 1.42466i 0.0160537 + 0.0570777i
\(624\) 0.242353 0.00970189
\(625\) −2.16942 + 3.75754i −0.0867767 + 0.150302i
\(626\) 4.78274 + 8.28395i 0.191157 + 0.331093i
\(627\) −21.1484 36.6301i −0.844586 1.46287i
\(628\) 14.6083 25.3023i 0.582934 1.00967i
\(629\) 32.1358 1.28134
\(630\) −5.20644 + 5.33695i −0.207430 + 0.212629i
\(631\) 12.3865 0.493098 0.246549 0.969130i \(-0.420703\pi\)
0.246549 + 0.969130i \(0.420703\pi\)
\(632\) 0.296925 0.514288i 0.0118110 0.0204573i
\(633\) 5.83448 + 10.1056i 0.231900 + 0.401662i
\(634\) −0.839976 1.45488i −0.0333597 0.0577807i
\(635\) −2.60006 + 4.50344i −0.103180 + 0.178713i
\(636\) −13.4232 −0.532264
\(637\) −0.157747 6.37085i −0.00625016 0.252422i
\(638\) 46.8335 1.85415
\(639\) −7.92874 + 13.7330i −0.313656 + 0.543268i
\(640\) −10.9630 18.9886i −0.433353 0.750589i
\(641\) −13.5191 23.4158i −0.533974 0.924870i −0.999212 0.0396845i \(-0.987365\pi\)
0.465238 0.885185i \(-0.345969\pi\)
\(642\) −7.45939 + 12.9200i −0.294399 + 0.509913i
\(643\) −27.4371 −1.08201 −0.541006 0.841019i \(-0.681956\pi\)
−0.541006 + 0.841019i \(0.681956\pi\)
\(644\) 5.86725 6.01433i 0.231202 0.236998i
\(645\) −0.286595 −0.0112847
\(646\) 38.5484 66.7679i 1.51667 2.62695i
\(647\) −0.437768 0.758237i −0.0172104 0.0298094i 0.857292 0.514831i \(-0.172145\pi\)
−0.874502 + 0.485021i \(0.838812\pi\)
\(648\) −1.33740 2.31645i −0.0525382 0.0909989i
\(649\) 2.31038 4.00169i 0.0906902 0.157080i
\(650\) −7.17796 −0.281543
\(651\) −3.89505 13.8485i −0.152659 0.542767i
\(652\) −5.23606 −0.205060
\(653\) 7.77433 13.4655i 0.304233 0.526947i −0.672857 0.739772i \(-0.734933\pi\)
0.977090 + 0.212825i \(0.0682665\pi\)
\(654\) 20.7435 + 35.9287i 0.811134 + 1.40493i
\(655\) 2.37545 + 4.11440i 0.0928166 + 0.160763i
\(656\) −0.335694 + 0.581440i −0.0131067 + 0.0227014i
\(657\) −4.27776 −0.166891
\(658\) −77.9144 19.8468i −3.03742 0.773710i
\(659\) 21.1989 0.825794 0.412897 0.910778i \(-0.364517\pi\)
0.412897 + 0.910778i \(0.364517\pi\)
\(660\) −12.0504 + 20.8720i −0.469063 + 0.812441i
\(661\) 4.32546 + 7.49192i 0.168241 + 0.291402i 0.937801 0.347172i \(-0.112858\pi\)
−0.769560 + 0.638574i \(0.779525\pi\)
\(662\) 23.4315 + 40.5845i 0.910690 + 1.57736i
\(663\) 2.23445 3.87019i 0.0867790 0.150306i
\(664\) 41.5122 1.61099
\(665\) −21.9252 5.58491i −0.850223 0.216574i
\(666\) 14.8938 0.577122
\(667\) −1.68002 + 2.90988i −0.0650507 + 0.112671i
\(668\) −8.68014 15.0345i −0.335845 0.581700i
\(669\) 1.24084 + 2.14919i 0.0479736 + 0.0830926i
\(670\) −6.33225 + 10.9678i −0.244636 + 0.423722i
\(671\) 21.9130 0.845942
\(672\) 4.26604 + 15.1676i 0.164566 + 0.585102i
\(673\) −9.05137 −0.348905 −0.174452 0.984666i \(-0.555816\pi\)
−0.174452 + 0.984666i \(0.555816\pi\)
\(674\) 31.7402 54.9757i 1.22259 2.11758i
\(675\) −1.73282 3.00133i −0.0666962 0.115521i
\(676\) 19.3262 + 33.4739i 0.743314 + 1.28746i
\(677\) 8.44978 14.6354i 0.324751 0.562486i −0.656711 0.754143i \(-0.728053\pi\)
0.981462 + 0.191657i \(0.0613860\pi\)
\(678\) 42.3028 1.62463
\(679\) 32.6045 33.4218i 1.25125 1.28261i
\(680\) −16.2639 −0.623694
\(681\) −11.0247 + 19.0954i −0.422469 + 0.731738i
\(682\) −37.8939 65.6341i −1.45103 2.51326i
\(683\) −11.3709 19.6950i −0.435097 0.753610i 0.562207 0.826997i \(-0.309953\pi\)
−0.997304 + 0.0733869i \(0.976619\pi\)
\(684\) 10.9621 18.9870i 0.419148 0.725985i
\(685\) −8.98854 −0.343434
\(686\) 40.2654 12.4085i 1.53734 0.473758i
\(687\) −14.7467 −0.562621
\(688\) −0.0307958 + 0.0533398i −0.00117408 + 0.00203356i
\(689\) −1.92404 3.33254i −0.0733002 0.126960i
\(690\) −1.40903 2.44051i −0.0536408 0.0929086i
\(691\) −17.5809 + 30.4511i −0.668810 + 1.15841i 0.309427 + 0.950923i \(0.399863\pi\)
−0.978237 + 0.207490i \(0.933471\pi\)
\(692\) −1.61699 −0.0614689
\(693\) 11.3192 11.6030i 0.429982 0.440761i
\(694\) −4.74418 −0.180086
\(695\) 2.18115 3.77787i 0.0827359 0.143303i
\(696\) 4.49373 + 7.78338i 0.170335 + 0.295028i
\(697\) 6.19009 + 10.7215i 0.234466 + 0.406108i
\(698\) 4.59921 7.96606i 0.174083 0.301520i
\(699\) 3.41615 0.129211
\(700\) −7.88410 28.0313i −0.297991 1.05948i
\(701\) −35.0402 −1.32345 −0.661725 0.749746i \(-0.730175\pi\)
−0.661725 + 0.749746i \(0.730175\pi\)
\(702\) 1.03559 1.79370i 0.0390858 0.0676987i
\(703\) 22.5981 + 39.1410i 0.852302 + 1.47623i
\(704\) 39.8722 + 69.0607i 1.50274 + 2.60282i
\(705\) −8.27310 + 14.3294i −0.311583 + 0.539678i
\(706\) −10.2556 −0.385976
\(707\) 20.8463 + 5.31008i 0.784005 + 0.199706i
\(708\) 2.39514 0.0900147
\(709\) 24.8322 43.0106i 0.932593 1.61530i 0.153721 0.988114i \(-0.450874\pi\)
0.778871 0.627184i \(-0.215793\pi\)
\(710\) 22.3436 + 38.7003i 0.838542 + 1.45240i
\(711\) 0.111008 + 0.192271i 0.00416312 + 0.00721073i
\(712\) −0.748095 + 1.29574i −0.0280361 + 0.0485599i
\(713\) 5.43735 0.203630
\(714\) 28.6321 + 7.29332i 1.07153 + 0.272946i
\(715\) −6.90911 −0.258386
\(716\) −13.2600 + 22.9671i −0.495551 + 0.858320i
\(717\) −5.43756 9.41813i −0.203069 0.351727i
\(718\) 23.6759 + 41.0078i 0.883576 + 1.53040i
\(719\) −1.77044 + 3.06648i −0.0660261 + 0.114361i −0.897149 0.441729i \(-0.854365\pi\)
0.831123 + 0.556089i \(0.187699\pi\)
\(720\) 0.329747 0.0122889
\(721\) −10.2291 36.3689i −0.380952 1.35445i
\(722\) 65.2046 2.42667
\(723\) −10.6982 + 18.5299i −0.397872 + 0.689134i
\(724\) 3.85630 + 6.67930i 0.143318 + 0.248234i
\(725\) 5.82234 + 10.0846i 0.216236 + 0.374532i
\(726\) 30.1854 52.2826i 1.12028 1.94039i
\(727\) 7.64097 0.283388 0.141694 0.989911i \(-0.454745\pi\)
0.141694 + 0.989911i \(0.454745\pi\)
\(728\) 4.49900 4.61178i 0.166744 0.170924i
\(729\) 1.00000 0.0370370
\(730\) −6.02749 + 10.4399i −0.223087 + 0.386399i
\(731\) 0.567863 + 0.983568i 0.0210032 + 0.0363786i
\(732\) 5.67923 + 9.83671i 0.209910 + 0.363575i
\(733\) −10.0728 + 17.4466i −0.372047 + 0.644404i −0.989880 0.141905i \(-0.954677\pi\)
0.617833 + 0.786309i \(0.288011\pi\)
\(734\) 19.5019 0.719829
\(735\) −0.214631 8.66820i −0.00791679 0.319731i
\(736\) −5.95524 −0.219513
\(737\) 13.7668 23.8449i 0.507108 0.878337i
\(738\) 2.86889 + 4.96906i 0.105605 + 0.182914i
\(739\) −19.4540 33.6953i −0.715626 1.23950i −0.962718 0.270508i \(-0.912808\pi\)
0.247092 0.968992i \(-0.420525\pi\)
\(740\) 12.8765 22.3027i 0.473348 0.819863i
\(741\) 6.28513 0.230890
\(742\) 17.7660 18.2113i 0.652210 0.668560i
\(743\) −12.5828 −0.461617 −0.230809 0.972999i \(-0.574137\pi\)
−0.230809 + 0.972999i \(0.574137\pi\)
\(744\) 7.27194 12.5954i 0.266602 0.461769i
\(745\) −6.76591 11.7189i −0.247884 0.429347i
\(746\) 1.65516 + 2.86682i 0.0605997 + 0.104962i
\(747\) −7.75984 + 13.4404i −0.283918 + 0.491760i
\(748\) 95.5077 3.49211
\(749\) −4.69757 16.7018i −0.171645 0.610272i
\(750\) −23.8566 −0.871122
\(751\) 11.6128 20.1139i 0.423756 0.733966i −0.572548 0.819871i \(-0.694045\pi\)
0.996303 + 0.0859051i \(0.0273782\pi\)
\(752\) 1.77796 + 3.07951i 0.0648354 + 0.112298i
\(753\) 2.34280 + 4.05784i 0.0853763 + 0.147876i
\(754\) −3.47963 + 6.02689i −0.126721 + 0.219486i
\(755\) 19.6377 0.714688
\(756\) 8.14219 + 2.07403i 0.296128 + 0.0754316i
\(757\) −31.3210 −1.13838 −0.569191 0.822205i \(-0.692744\pi\)
−0.569191 + 0.822205i \(0.692744\pi\)
\(758\) 2.97311 5.14958i 0.107988 0.187041i
\(759\) 3.06335 + 5.30587i 0.111192 + 0.192591i
\(760\) −11.4369 19.8093i −0.414860 0.718559i
\(761\) 12.9385 22.4101i 0.469020 0.812367i −0.530353 0.847777i \(-0.677941\pi\)
0.999373 + 0.0354105i \(0.0112739\pi\)
\(762\) 9.55070 0.345985
\(763\) −46.7545 11.9096i −1.69263 0.431156i
\(764\) −45.3911 −1.64219
\(765\) 3.04021 5.26579i 0.109919 0.190385i
\(766\) 12.8769 + 22.3035i 0.465262 + 0.805858i
\(767\) 0.343312 + 0.594634i 0.0123963 + 0.0214710i
\(768\) −7.11917 + 12.3308i −0.256891 + 0.444948i
\(769\) 2.66864 0.0962338 0.0481169 0.998842i \(-0.484678\pi\)
0.0481169 + 0.998842i \(0.484678\pi\)
\(770\) −12.3680 43.9736i −0.445713 1.58470i
\(771\) 27.0174 0.973008
\(772\) −3.31871 + 5.74818i −0.119443 + 0.206881i
\(773\) 2.89143 + 5.00811i 0.103998 + 0.180129i 0.913328 0.407224i \(-0.133503\pi\)
−0.809331 + 0.587353i \(0.800170\pi\)
\(774\) 0.263184 + 0.455849i 0.00945997 + 0.0163851i
\(775\) 9.42195 16.3193i 0.338446 0.586206i
\(776\) 47.2041 1.69453
\(777\) −12.0951 + 12.3983i −0.433910 + 0.444787i