Properties

Label 576.2.bl.a.419.9
Level $576$
Weight $2$
Character 576.419
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 419.9
Character \(\chi\) \(=\) 576.419
Dual form 576.2.bl.a.11.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.35939 - 0.389931i) q^{2} +(1.72496 - 0.156592i) q^{3} +(1.69591 + 1.06014i) q^{4} +(1.33127 - 0.656508i) q^{5} +(-2.40596 - 0.459744i) q^{6} +(-1.06088 + 1.38257i) q^{7} +(-1.89203 - 2.10244i) q^{8} +(2.95096 - 0.540229i) q^{9} +O(q^{10})\) \(q+(-1.35939 - 0.389931i) q^{2} +(1.72496 - 0.156592i) q^{3} +(1.69591 + 1.06014i) q^{4} +(1.33127 - 0.656508i) q^{5} +(-2.40596 - 0.459744i) q^{6} +(-1.06088 + 1.38257i) q^{7} +(-1.89203 - 2.10244i) q^{8} +(2.95096 - 0.540229i) q^{9} +(-2.06571 + 0.373352i) q^{10} +(-4.22175 + 3.70237i) q^{11} +(3.09138 + 1.56313i) q^{12} +(5.42788 - 0.355762i) q^{13} +(1.98127 - 1.46579i) q^{14} +(2.19358 - 1.34091i) q^{15} +(1.75221 + 3.59580i) q^{16} +(5.24770 - 5.24770i) q^{17} +(-4.22217 - 0.416286i) q^{18} +(1.08713 + 1.62700i) q^{19} +(2.95370 + 0.297952i) q^{20} +(-1.61348 + 2.55100i) q^{21} +(7.18269 - 3.38680i) q^{22} +(1.32665 + 1.72892i) q^{23} +(-3.59289 - 3.33034i) q^{24} +(-1.70254 + 2.21879i) q^{25} +(-7.51736 - 1.63288i) q^{26} +(5.00568 - 1.39397i) q^{27} +(-3.26488 + 1.22003i) q^{28} +(-0.774434 - 2.28141i) q^{29} +(-3.50480 + 0.967489i) q^{30} +(1.28939 - 2.23328i) q^{31} +(-0.979827 - 5.57135i) q^{32} +(-6.70257 + 7.04753i) q^{33} +(-9.17994 + 5.08746i) q^{34} +(-0.504650 + 2.53705i) q^{35} +(5.57727 + 2.21225i) q^{36} +(3.04121 + 2.03207i) q^{37} +(-0.843418 - 2.63564i) q^{38} +(9.30716 - 1.46364i) q^{39} +(-3.89906 - 1.55677i) q^{40} +(-4.61951 + 3.54467i) q^{41} +(3.18807 - 2.83867i) q^{42} +(-2.60452 + 2.28410i) q^{43} +(-11.0847 + 1.80324i) q^{44} +(3.57385 - 2.65652i) q^{45} +(-1.12928 - 2.86759i) q^{46} +(1.37640 - 5.13681i) q^{47} +(3.58555 + 5.92822i) q^{48} +(1.02571 + 3.82799i) q^{49} +(3.17960 - 2.35234i) q^{50} +(8.23032 - 9.87381i) q^{51} +(9.58234 + 5.15097i) q^{52} +(-0.894480 + 0.177923i) q^{53} +(-7.34825 - 0.0569183i) q^{54} +(-3.18963 + 7.70046i) q^{55} +(4.91398 - 0.385421i) q^{56} +(2.13003 + 2.63627i) q^{57} +(0.163170 + 3.40331i) q^{58} +(-3.98177 - 8.07423i) q^{59} +(5.14166 + 0.0514298i) q^{60} +(-4.03610 - 11.8900i) q^{61} +(-2.62361 + 2.53314i) q^{62} +(-2.38372 + 4.65303i) q^{63} +(-0.840471 + 7.95573i) q^{64} +(6.99240 - 4.03706i) q^{65} +(11.8595 - 6.96683i) q^{66} +(6.22230 + 5.45681i) q^{67} +(14.4629 - 3.33632i) q^{68} +(2.55915 + 2.77457i) q^{69} +(1.67529 - 3.25207i) q^{70} +(2.70303 - 1.11963i) q^{71} +(-6.71909 - 5.18207i) q^{72} +(-3.45201 - 1.42987i) q^{73} +(-3.34183 - 3.94824i) q^{74} +(-2.58936 + 4.09392i) q^{75} +(0.118819 + 3.91175i) q^{76} +(-0.640009 - 9.76465i) q^{77} +(-13.2228 - 1.63949i) q^{78} +(1.94771 - 7.26895i) q^{79} +(4.69333 + 3.63663i) q^{80} +(8.41631 - 3.18838i) q^{81} +(7.66191 - 3.01732i) q^{82} +(-2.39800 - 1.18257i) q^{83} +(-5.44073 + 2.61575i) q^{84} +(3.54093 - 10.4313i) q^{85} +(4.43121 - 2.08941i) q^{86} +(-1.69312 - 3.81406i) q^{87} +(15.7717 + 1.87096i) q^{88} +(-3.03816 + 1.25845i) q^{89} +(-5.89413 + 2.21770i) q^{90} +(-5.26648 + 7.88185i) q^{91} +(0.416974 + 4.33852i) q^{92} +(1.87442 - 4.05422i) q^{93} +(-3.87408 + 6.44625i) q^{94} +(2.51540 + 1.45227i) q^{95} +(-2.56259 - 9.45691i) q^{96} +(-13.7525 + 7.94002i) q^{97} +(0.0983112 - 5.60370i) q^{98} +(-10.4581 + 13.2063i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{11}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.35939 0.389931i −0.961237 0.275723i
\(3\) 1.72496 0.156592i 0.995905 0.0904083i
\(4\) 1.69591 + 1.06014i 0.847954 + 0.530070i
\(5\) 1.33127 0.656508i 0.595361 0.293599i −0.119536 0.992830i \(-0.538141\pi\)
0.714896 + 0.699231i \(0.246474\pi\)
\(6\) −2.40596 0.459744i −0.982228 0.187690i
\(7\) −1.06088 + 1.38257i −0.400976 + 0.522562i −0.949582 0.313519i \(-0.898492\pi\)
0.548606 + 0.836081i \(0.315159\pi\)
\(8\) −1.89203 2.10244i −0.668932 0.743323i
\(9\) 2.95096 0.540229i 0.983653 0.180076i
\(10\) −2.06571 + 0.373352i −0.653235 + 0.118064i
\(11\) −4.22175 + 3.70237i −1.27290 + 1.11631i −0.285451 + 0.958393i \(0.592144\pi\)
−0.987453 + 0.157914i \(0.949523\pi\)
\(12\) 3.09138 + 1.56313i 0.892404 + 0.451237i
\(13\) 5.42788 0.355762i 1.50542 0.0986707i 0.709775 0.704429i \(-0.248797\pi\)
0.795649 + 0.605758i \(0.207130\pi\)
\(14\) 1.98127 1.46579i 0.529516 0.391748i
\(15\) 2.19358 1.34091i 0.566379 0.346223i
\(16\) 1.75221 + 3.59580i 0.438052 + 0.898950i
\(17\) 5.24770 5.24770i 1.27276 1.27276i 0.328118 0.944637i \(-0.393585\pi\)
0.944637 0.328118i \(-0.106415\pi\)
\(18\) −4.22217 0.416286i −0.995175 0.0981195i
\(19\) 1.08713 + 1.62700i 0.249404 + 0.373260i 0.934956 0.354764i \(-0.115439\pi\)
−0.685552 + 0.728024i \(0.740439\pi\)
\(20\) 2.95370 + 0.297952i 0.660467 + 0.0666241i
\(21\) −1.61348 + 2.55100i −0.352090 + 0.556674i
\(22\) 7.18269 3.38680i 1.53135 0.722067i
\(23\) 1.32665 + 1.72892i 0.276625 + 0.360505i 0.910918 0.412588i \(-0.135375\pi\)
−0.634292 + 0.773093i \(0.718708\pi\)
\(24\) −3.59289 3.33034i −0.733396 0.679802i
\(25\) −1.70254 + 2.21879i −0.340508 + 0.443758i
\(26\) −7.51736 1.63288i −1.47427 0.320234i
\(27\) 5.00568 1.39397i 0.963344 0.268269i
\(28\) −3.26488 + 1.22003i −0.617004 + 0.230563i
\(29\) −0.774434 2.28141i −0.143809 0.423647i 0.851030 0.525117i \(-0.175979\pi\)
−0.994839 + 0.101470i \(0.967645\pi\)
\(30\) −3.50480 + 0.967489i −0.639886 + 0.176639i
\(31\) 1.28939 2.23328i 0.231580 0.401109i −0.726693 0.686962i \(-0.758944\pi\)
0.958273 + 0.285853i \(0.0922770\pi\)
\(32\) −0.979827 5.57135i −0.173210 0.984885i
\(33\) −6.70257 + 7.04753i −1.16677 + 1.22682i
\(34\) −9.17994 + 5.08746i −1.57435 + 0.872492i
\(35\) −0.504650 + 2.53705i −0.0853015 + 0.428840i
\(36\) 5.57727 + 2.21225i 0.929545 + 0.368708i
\(37\) 3.04121 + 2.03207i 0.499971 + 0.334070i 0.779851 0.625965i \(-0.215295\pi\)
−0.279880 + 0.960035i \(0.590295\pi\)
\(38\) −0.843418 2.63564i −0.136820 0.427558i
\(39\) 9.30716 1.46364i 1.49034 0.234369i
\(40\) −3.89906 1.55677i −0.616495 0.246147i
\(41\) −4.61951 + 3.54467i −0.721446 + 0.553585i −0.902919 0.429811i \(-0.858580\pi\)
0.181473 + 0.983396i \(0.441914\pi\)
\(42\) 3.18807 2.83867i 0.491930 0.438017i
\(43\) −2.60452 + 2.28410i −0.397185 + 0.348322i −0.834521 0.550976i \(-0.814255\pi\)
0.437336 + 0.899298i \(0.355922\pi\)
\(44\) −11.0847 + 1.80324i −1.67109 + 0.271849i
\(45\) 3.57385 2.65652i 0.532758 0.396010i
\(46\) −1.12928 2.86759i −0.166503 0.422803i
\(47\) 1.37640 5.13681i 0.200769 0.749280i −0.789929 0.613199i \(-0.789882\pi\)
0.990698 0.136082i \(-0.0434509\pi\)
\(48\) 3.58555 + 5.92822i 0.517530 + 0.855665i
\(49\) 1.02571 + 3.82799i 0.146529 + 0.546856i
\(50\) 3.17960 2.35234i 0.449663 0.332671i
\(51\) 8.23032 9.87381i 1.15248 1.38261i
\(52\) 9.58234 + 5.15097i 1.32883 + 0.714312i
\(53\) −0.894480 + 0.177923i −0.122866 + 0.0244396i −0.256140 0.966640i \(-0.582451\pi\)
0.133274 + 0.991079i \(0.457451\pi\)
\(54\) −7.34825 0.0569183i −0.999970 0.00774561i
\(55\) −3.18963 + 7.70046i −0.430090 + 1.03833i
\(56\) 4.91398 0.385421i 0.656659 0.0515040i
\(57\) 2.13003 + 2.63627i 0.282129 + 0.349183i
\(58\) 0.163170 + 3.40331i 0.0214252 + 0.446877i
\(59\) −3.98177 8.07423i −0.518382 1.05117i −0.985922 0.167203i \(-0.946526\pi\)
0.467540 0.883972i \(-0.345140\pi\)
\(60\) 5.14166 + 0.0514298i 0.663785 + 0.00663956i
\(61\) −4.03610 11.8900i −0.516770 1.52236i −0.821666 0.569969i \(-0.806955\pi\)
0.304896 0.952386i \(-0.401378\pi\)
\(62\) −2.62361 + 2.53314i −0.333199 + 0.321709i
\(63\) −2.38372 + 4.65303i −0.300320 + 0.586226i
\(64\) −0.840471 + 7.95573i −0.105059 + 0.994466i
\(65\) 6.99240 4.03706i 0.867300 0.500736i
\(66\) 11.8595 6.96683i 1.45980 0.857557i
\(67\) 6.22230 + 5.45681i 0.760176 + 0.666656i 0.948972 0.315360i \(-0.102125\pi\)
−0.188797 + 0.982016i \(0.560459\pi\)
\(68\) 14.4629 3.33632i 1.75389 0.404588i
\(69\) 2.55915 + 2.77457i 0.308085 + 0.334019i
\(70\) 1.67529 3.25207i 0.200236 0.388697i
\(71\) 2.70303 1.11963i 0.320791 0.132876i −0.216477 0.976288i \(-0.569457\pi\)
0.537267 + 0.843412i \(0.319457\pi\)
\(72\) −6.71909 5.18207i −0.791852 0.610713i
\(73\) −3.45201 1.42987i −0.404027 0.167354i 0.171410 0.985200i \(-0.445168\pi\)
−0.575437 + 0.817846i \(0.695168\pi\)
\(74\) −3.34183 3.94824i −0.388480 0.458974i
\(75\) −2.58936 + 4.09392i −0.298994 + 0.472726i
\(76\) 0.118819 + 3.91175i 0.0136295 + 0.448709i
\(77\) −0.640009 9.76465i −0.0729358 1.11278i
\(78\) −13.2228 1.63949i −1.49719 0.185635i
\(79\) 1.94771 7.26895i 0.219134 0.817820i −0.765536 0.643393i \(-0.777526\pi\)
0.984670 0.174427i \(-0.0558073\pi\)
\(80\) 4.69333 + 3.63663i 0.524730 + 0.406588i
\(81\) 8.41631 3.18838i 0.935145 0.354265i
\(82\) 7.66191 3.01732i 0.846117 0.333207i
\(83\) −2.39800 1.18257i −0.263215 0.129803i 0.305893 0.952066i \(-0.401045\pi\)
−0.569109 + 0.822262i \(0.692712\pi\)
\(84\) −5.44073 + 2.61575i −0.593632 + 0.285401i
\(85\) 3.54093 10.4313i 0.384068 1.13143i
\(86\) 4.43121 2.08941i 0.477829 0.225307i
\(87\) −1.69312 3.81406i −0.181521 0.408911i
\(88\) 15.7717 + 1.87096i 1.68126 + 0.199445i
\(89\) −3.03816 + 1.25845i −0.322045 + 0.133395i −0.537849 0.843041i \(-0.680763\pi\)
0.215804 + 0.976437i \(0.430763\pi\)
\(90\) −5.89413 + 2.21770i −0.621296 + 0.233766i
\(91\) −5.26648 + 7.88185i −0.552077 + 0.826242i
\(92\) 0.416974 + 4.33852i 0.0434725 + 0.452322i
\(93\) 1.87442 4.05422i 0.194368 0.420403i
\(94\) −3.87408 + 6.44625i −0.399580 + 0.664880i
\(95\) 2.51540 + 1.45227i 0.258074 + 0.148999i
\(96\) −2.56259 9.45691i −0.261543 0.965192i
\(97\) −13.7525 + 7.94002i −1.39636 + 0.806187i −0.994009 0.109299i \(-0.965139\pi\)
−0.402348 + 0.915487i \(0.631806\pi\)
\(98\) 0.0983112 5.60370i 0.00993093 0.566059i
\(99\) −10.4581 + 13.2063i −1.05108 + 1.32728i
\(100\) −5.23958 + 1.95794i −0.523958 + 0.195794i
\(101\) 16.9274 + 1.10948i 1.68434 + 0.110398i 0.877251 0.480032i \(-0.159375\pi\)
0.807090 + 0.590429i \(0.201041\pi\)
\(102\) −15.0384 + 10.2132i −1.48902 + 1.01125i
\(103\) −1.32503 + 10.0646i −0.130559 + 0.991696i 0.793264 + 0.608877i \(0.208380\pi\)
−0.923824 + 0.382819i \(0.874953\pi\)
\(104\) −11.0177 10.7387i −1.08037 1.05301i
\(105\) −0.473219 + 4.45533i −0.0461815 + 0.434795i
\(106\) 1.28533 + 0.106918i 0.124842 + 0.0103848i
\(107\) −8.72847 + 1.73620i −0.843813 + 0.167845i −0.598024 0.801478i \(-0.704047\pi\)
−0.245789 + 0.969323i \(0.579047\pi\)
\(108\) 9.96698 + 2.94268i 0.959073 + 0.283160i
\(109\) −2.32843 + 1.55581i −0.223023 + 0.149019i −0.662063 0.749448i \(-0.730319\pi\)
0.439040 + 0.898468i \(0.355319\pi\)
\(110\) 7.33862 9.22422i 0.699710 0.879495i
\(111\) 5.56416 + 3.02900i 0.528126 + 0.287500i
\(112\) −6.83033 1.39218i −0.645406 0.131548i
\(113\) −5.63874 + 1.51089i −0.530448 + 0.142133i −0.514095 0.857733i \(-0.671872\pi\)
−0.0163526 + 0.999866i \(0.505205\pi\)
\(114\) −1.86758 4.41430i −0.174915 0.413437i
\(115\) 2.90117 + 1.43070i 0.270536 + 0.133414i
\(116\) 1.10524 4.69007i 0.102619 0.435462i
\(117\) 15.8253 3.98214i 1.46305 0.368149i
\(118\) 2.26440 + 12.5287i 0.208455 + 1.15336i
\(119\) 1.68812 + 12.8225i 0.154749 + 1.17544i
\(120\) −6.96949 2.07480i −0.636224 0.189403i
\(121\) 2.67979 20.3551i 0.243618 1.85046i
\(122\) 0.850388 + 17.7370i 0.0769905 + 1.60583i
\(123\) −7.41339 + 6.83779i −0.668443 + 0.616543i
\(124\) 4.55427 2.42051i 0.408985 0.217368i
\(125\) −2.25778 + 11.3506i −0.201942 + 1.01523i
\(126\) 5.05477 5.39581i 0.450315 0.480697i
\(127\) 15.4522i 1.37116i −0.727996 0.685582i \(-0.759548\pi\)
0.727996 0.685582i \(-0.240452\pi\)
\(128\) 4.24472 10.4872i 0.375183 0.926951i
\(129\) −4.13501 + 4.34782i −0.364067 + 0.382804i
\(130\) −11.0796 + 2.76141i −0.971746 + 0.242192i
\(131\) −8.90475 + 10.1539i −0.778012 + 0.887152i −0.996051 0.0887877i \(-0.971701\pi\)
0.218039 + 0.975940i \(0.430034\pi\)
\(132\) −18.8383 + 4.84629i −1.63966 + 0.421815i
\(133\) −3.40276 0.223029i −0.295057 0.0193390i
\(134\) −6.33079 9.84423i −0.546897 0.850412i
\(135\) 5.74875 5.14201i 0.494773 0.442554i
\(136\) −20.9618 1.10416i −1.79746 0.0946813i
\(137\) −20.3268 + 2.67608i −1.73664 + 0.228633i −0.931318 0.364206i \(-0.881340\pi\)
−0.805321 + 0.592839i \(0.798007\pi\)
\(138\) −2.39700 4.76963i −0.204046 0.406018i
\(139\) 0.102545 0.302087i 0.00869772 0.0256226i −0.942495 0.334221i \(-0.891527\pi\)
0.951192 + 0.308599i \(0.0998600\pi\)
\(140\) −3.54547 + 3.76760i −0.299647 + 0.318420i
\(141\) 1.56986 9.07631i 0.132206 0.764363i
\(142\) −4.11106 + 0.468026i −0.344993 + 0.0392759i
\(143\) −21.5980 + 21.5980i −1.80611 + 1.80611i
\(144\) 7.11324 + 9.66446i 0.592770 + 0.805372i
\(145\) −2.52874 2.52874i −0.210001 0.210001i
\(146\) 4.13509 + 3.28980i 0.342223 + 0.272266i
\(147\) 2.36873 + 6.44250i 0.195370 + 0.531369i
\(148\) 3.00333 + 6.67030i 0.246872 + 0.548296i
\(149\) −3.86182 1.31091i −0.316373 0.107394i 0.158736 0.987321i \(-0.449258\pi\)
−0.475109 + 0.879927i \(0.657591\pi\)
\(150\) 5.11631 4.55559i 0.417745 0.371962i
\(151\) −3.17480 24.1150i −0.258361 1.96245i −0.271175 0.962530i \(-0.587412\pi\)
0.0128139 0.999918i \(-0.495921\pi\)
\(152\) 1.36379 5.36395i 0.110618 0.435074i
\(153\) 12.6508 18.3207i 1.02276 1.48114i
\(154\) −2.93751 + 13.5236i −0.236712 + 1.08976i
\(155\) 0.250349 3.81958i 0.0201085 0.306796i
\(156\) 17.3357 + 7.38470i 1.38797 + 0.591249i
\(157\) −9.96381 8.73803i −0.795199 0.697371i 0.162003 0.986790i \(-0.448204\pi\)
−0.957202 + 0.289419i \(0.906538\pi\)
\(158\) −5.48209 + 9.12189i −0.436132 + 0.725699i
\(159\) −1.51508 + 0.446978i −0.120154 + 0.0354477i
\(160\) −4.96205 6.77369i −0.392284 0.535507i
\(161\) −3.79777 −0.299307
\(162\) −12.6843 + 1.05249i −0.996575 + 0.0826917i
\(163\) −9.78189 1.94574i −0.766177 0.152402i −0.203496 0.979076i \(-0.565230\pi\)
−0.562681 + 0.826674i \(0.690230\pi\)
\(164\) −11.5921 + 1.11411i −0.905192 + 0.0869977i
\(165\) −4.29615 + 13.7824i −0.334455 + 1.07296i
\(166\) 2.79872 + 2.54263i 0.217222 + 0.197346i
\(167\) −21.9872 2.89466i −1.70142 0.223996i −0.783675 0.621171i \(-0.786657\pi\)
−0.917743 + 0.397176i \(0.869990\pi\)
\(168\) 8.41606 1.43432i 0.649313 0.110661i
\(169\) 16.4465 2.16523i 1.26512 0.166556i
\(170\) −8.88100 + 12.7995i −0.681141 + 0.981675i
\(171\) 4.08702 + 4.21392i 0.312542 + 0.322246i
\(172\) −6.83848 + 1.11247i −0.521430 + 0.0848250i
\(173\) −9.55555 + 19.3767i −0.726495 + 1.47319i 0.148427 + 0.988923i \(0.452579\pi\)
−0.874922 + 0.484263i \(0.839088\pi\)
\(174\) 0.814391 + 5.84502i 0.0617388 + 0.443110i
\(175\) −1.26144 4.70776i −0.0953559 0.355873i
\(176\) −20.7104 8.69323i −1.56110 0.655277i
\(177\) −8.13274 13.3042i −0.611294 1.00000i
\(178\) 4.62077 0.526054i 0.346341 0.0394294i
\(179\) 1.01874 + 1.52465i 0.0761441 + 0.113958i 0.867587 0.497285i \(-0.165670\pi\)
−0.791443 + 0.611243i \(0.790670\pi\)
\(180\) 8.87720 0.716428i 0.661667 0.0533994i
\(181\) −1.70149 8.55397i −0.126471 0.635812i −0.991069 0.133348i \(-0.957427\pi\)
0.864598 0.502464i \(-0.167573\pi\)
\(182\) 10.2326 8.66098i 0.758491 0.641994i
\(183\) −8.82398 19.8777i −0.652287 1.46940i
\(184\) 1.12489 6.06036i 0.0829282 0.446775i
\(185\) 5.38273 + 0.708649i 0.395746 + 0.0521009i
\(186\) −4.12894 + 4.78039i −0.302749 + 0.350515i
\(187\) −2.72552 + 41.5834i −0.199310 + 3.04088i
\(188\) 7.77999 7.25237i 0.567414 0.528934i
\(189\) −3.38319 + 8.39954i −0.246091 + 0.610977i
\(190\) −2.85314 2.95503i −0.206988 0.214381i
\(191\) 6.65431 + 11.5256i 0.481489 + 0.833963i 0.999774 0.0212447i \(-0.00676290\pi\)
−0.518286 + 0.855208i \(0.673430\pi\)
\(192\) −0.203974 + 13.8549i −0.0147206 + 0.999892i
\(193\) 6.94214 12.0241i 0.499706 0.865516i −0.500294 0.865856i \(-0.666775\pi\)
1.00000 0.000339280i \(0.000107996\pi\)
\(194\) 21.7912 5.43109i 1.56451 0.389930i
\(195\) 11.4294 8.05871i 0.818478 0.577097i
\(196\) −2.31870 + 7.57931i −0.165621 + 0.541379i
\(197\) 19.3947 + 12.9592i 1.38182 + 0.923301i 1.00000 0.000935986i \(-0.000297934\pi\)
0.381819 + 0.924237i \(0.375298\pi\)
\(198\) 19.3662 13.8746i 1.37629 0.986024i
\(199\) 0.955781 + 2.30746i 0.0677535 + 0.163572i 0.954129 0.299395i \(-0.0967849\pi\)
−0.886376 + 0.462967i \(0.846785\pi\)
\(200\) 7.88611 0.618535i 0.557632 0.0437370i
\(201\) 11.5877 + 8.43841i 0.817334 + 0.595200i
\(202\) −22.5784 8.10875i −1.58861 0.570529i
\(203\) 3.97579 + 1.34960i 0.279046 + 0.0947233i
\(204\) 24.4255 8.01979i 1.71013 0.561497i
\(205\) −3.82269 + 7.75165i −0.266988 + 0.541399i
\(206\) 5.72575 13.1651i 0.398932 0.917257i
\(207\) 4.84890 + 4.38528i 0.337022 + 0.304798i
\(208\) 10.7900 + 18.8942i 0.748153 + 1.31008i
\(209\) −10.6133 2.84384i −0.734141 0.196712i
\(210\) 2.38056 5.87202i 0.164274 0.405208i
\(211\) 11.2900 0.739989i 0.777239 0.0509429i 0.328380 0.944546i \(-0.393497\pi\)
0.448859 + 0.893603i \(0.351831\pi\)
\(212\) −1.70558 0.646533i −0.117140 0.0444041i
\(213\) 4.48729 2.35459i 0.307464 0.161334i
\(214\) 12.5424 + 1.04332i 0.857383 + 0.0713198i
\(215\) −1.96778 + 4.75063i −0.134201 + 0.323990i
\(216\) −12.4016 7.88670i −0.843823 0.536622i
\(217\) 1.71978 + 4.15192i 0.116746 + 0.281850i
\(218\) 3.77191 1.20703i 0.255466 0.0817503i
\(219\) −6.17848 1.92591i −0.417503 0.130141i
\(220\) −13.5729 + 9.67781i −0.915084 + 0.652478i
\(221\) 26.6170 30.3508i 1.79045 2.04162i
\(222\) −6.38278 6.28725i −0.428384 0.421973i
\(223\) 2.45075 + 4.24483i 0.164115 + 0.284255i 0.936341 0.351093i \(-0.114190\pi\)
−0.772226 + 0.635348i \(0.780857\pi\)
\(224\) 8.74226 + 4.55587i 0.584117 + 0.304402i
\(225\) −3.82547 + 7.46732i −0.255031 + 0.497821i
\(226\) 8.25441 + 0.144815i 0.549075 + 0.00963296i
\(227\) 20.4625 6.94608i 1.35814 0.461028i 0.455048 0.890467i \(-0.349622\pi\)
0.903096 + 0.429439i \(0.141289\pi\)
\(228\) 0.817506 + 6.72900i 0.0541407 + 0.445639i
\(229\) −11.9961 + 5.91581i −0.792723 + 0.390928i −0.793115 0.609072i \(-0.791542\pi\)
0.000391686 1.00000i \(0.499875\pi\)
\(230\) −3.38597 3.07614i −0.223264 0.202835i
\(231\) −2.63305 16.7434i −0.173242 1.10163i
\(232\) −3.33127 + 5.94468i −0.218708 + 0.390288i
\(233\) 0.809861 + 0.335456i 0.0530558 + 0.0219764i 0.409054 0.912510i \(-0.365859\pi\)
−0.355998 + 0.934487i \(0.615859\pi\)
\(234\) −23.0655 0.757463i −1.50784 0.0495169i
\(235\) −1.54000 7.74208i −0.100458 0.505038i
\(236\) 1.80710 17.9144i 0.117632 1.16613i
\(237\) 2.22146 12.8436i 0.144299 0.834283i
\(238\) 2.70508 18.0891i 0.175344 1.17254i
\(239\) −14.7832 + 3.96115i −0.956247 + 0.256226i −0.703011 0.711179i \(-0.748162\pi\)
−0.253236 + 0.967405i \(0.581495\pi\)
\(240\) 8.66526 + 5.53810i 0.559340 + 0.357483i
\(241\) −25.0770 6.71937i −1.61535 0.432833i −0.665722 0.746200i \(-0.731876\pi\)
−0.949632 + 0.313367i \(0.898543\pi\)
\(242\) −11.5800 + 26.6256i −0.744388 + 1.71156i
\(243\) 14.0185 6.81775i 0.899287 0.437359i
\(244\) 5.76018 24.4431i 0.368758 1.56481i
\(245\) 3.87860 + 4.42269i 0.247794 + 0.282555i
\(246\) 12.7440 6.40455i 0.812527 0.408339i
\(247\) 6.47963 + 8.44442i 0.412289 + 0.537305i
\(248\) −7.13488 + 1.51458i −0.453065 + 0.0961757i
\(249\) −4.32164 1.66437i −0.273873 0.105475i
\(250\) 7.49519 14.5496i 0.474037 0.920199i
\(251\) −11.0017 + 16.4651i −0.694418 + 1.03927i 0.301883 + 0.953345i \(0.402385\pi\)
−0.996302 + 0.0859256i \(0.972615\pi\)
\(252\) −8.97543 + 5.36403i −0.565399 + 0.337902i
\(253\) −12.0019 2.38732i −0.754552 0.150090i
\(254\) −6.02530 + 21.0057i −0.378061 + 1.31801i
\(255\) 4.47451 18.5480i 0.280205 1.16152i
\(256\) −9.85955 + 12.6012i −0.616222 + 0.787573i
\(257\) 7.03586 + 4.06216i 0.438885 + 0.253390i 0.703125 0.711067i \(-0.251788\pi\)
−0.264239 + 0.964457i \(0.585121\pi\)
\(258\) 7.31646 4.29804i 0.455503 0.267584i
\(259\) −6.03584 + 2.04889i −0.375049 + 0.127312i
\(260\) 16.1383 + 0.566435i 1.00086 + 0.0351288i
\(261\) −3.51780 6.31397i −0.217747 0.390825i
\(262\) 16.0644 10.3310i 0.992462 0.638248i
\(263\) −15.3807 11.8020i −0.948413 0.727743i 0.0138389 0.999904i \(-0.495595\pi\)
−0.962252 + 0.272162i \(0.912261\pi\)
\(264\) 27.4984 + 0.757619i 1.69241 + 0.0466282i
\(265\) −1.07398 + 0.824097i −0.0659743 + 0.0506239i
\(266\) 4.53873 + 1.63003i 0.278287 + 0.0999433i
\(267\) −5.04364 + 2.64652i −0.308666 + 0.161965i
\(268\) 4.76747 + 15.8508i 0.291219 + 0.968240i
\(269\) 24.8804 16.6245i 1.51698 1.01362i 0.530886 0.847443i \(-0.321859\pi\)
0.986097 0.166173i \(-0.0531409\pi\)
\(270\) −9.81985 + 4.74841i −0.597617 + 0.288979i
\(271\) −1.78469 1.78469i −0.108412 0.108412i 0.650820 0.759232i \(-0.274425\pi\)
−0.759232 + 0.650820i \(0.774425\pi\)
\(272\) 28.0647 + 9.67463i 1.70168 + 0.586611i
\(273\) −7.85023 + 14.4205i −0.475117 + 0.872771i
\(274\) 28.6757 + 4.28822i 1.73236 + 0.259061i
\(275\) −1.02711 15.6706i −0.0619368 0.944973i
\(276\) 1.39864 + 7.41847i 0.0841882 + 0.446540i
\(277\) 5.31428 + 6.05977i 0.319304 + 0.364096i 0.889119 0.457677i \(-0.151318\pi\)
−0.569815 + 0.821773i \(0.692985\pi\)
\(278\) −0.257191 + 0.370670i −0.0154253 + 0.0222313i
\(279\) 2.59844 7.28688i 0.155564 0.436254i
\(280\) 6.28879 3.73917i 0.375827 0.223458i
\(281\) −11.6984 8.97647i −0.697866 0.535491i 0.197787 0.980245i \(-0.436625\pi\)
−0.895653 + 0.444754i \(0.853291\pi\)
\(282\) −5.67319 + 11.7262i −0.337833 + 0.698282i
\(283\) −2.05726 4.17172i −0.122292 0.247983i 0.827115 0.562033i \(-0.189981\pi\)
−0.949406 + 0.314050i \(0.898314\pi\)
\(284\) 5.77105 + 0.966798i 0.342449 + 0.0573689i
\(285\) 4.56637 + 2.11121i 0.270488 + 0.125057i
\(286\) 37.7819 20.9385i 2.23409 1.23812i
\(287\) 10.1473i 0.598975i
\(288\) −5.90123 15.9115i −0.347733 0.937593i
\(289\) 38.0768i 2.23981i
\(290\) 2.45152 + 4.42359i 0.143958 + 0.259762i
\(291\) −22.4792 + 15.8497i −1.31775 + 0.929128i
\(292\) −4.33843 6.08454i −0.253887 0.356071i
\(293\) 5.02943 + 10.1987i 0.293823 + 0.595813i 0.992862 0.119270i \(-0.0380554\pi\)
−0.699039 + 0.715083i \(0.746389\pi\)
\(294\) −0.707911 9.68154i −0.0412862 0.564639i
\(295\) −10.6016 8.13489i −0.617249 0.473631i
\(296\) −1.48175 10.2387i −0.0861249 0.595110i
\(297\) −15.9717 + 24.4179i −0.926774 + 1.41687i
\(298\) 4.73857 + 3.28789i 0.274498 + 0.190462i
\(299\) 7.81597 + 8.91241i 0.452009 + 0.515418i
\(300\) −8.73145 + 4.19783i −0.504111 + 0.242362i
\(301\) −0.394840 6.02409i −0.0227582 0.347223i
\(302\) −5.08737 + 34.0197i −0.292745 + 1.95761i
\(303\) 29.3728 0.736887i 1.68742 0.0423330i
\(304\) −3.94550 + 6.75994i −0.226290 + 0.387709i
\(305\) −13.1790 13.1790i −0.754627 0.754627i
\(306\) −24.3412 + 19.9721i −1.39150 + 1.14173i
\(307\) 21.9659 14.6771i 1.25366 0.837669i 0.261815 0.965118i \(-0.415679\pi\)
0.991845 + 0.127449i \(0.0406791\pi\)
\(308\) 9.26650 17.2384i 0.528008 0.982251i
\(309\) −0.709587 + 17.5685i −0.0403670 + 0.999439i
\(310\) −1.82970 + 5.09470i −0.103920 + 0.289360i
\(311\) −6.16932 + 4.73389i −0.349830 + 0.268434i −0.768696 0.639614i \(-0.779094\pi\)
0.418866 + 0.908048i \(0.362428\pi\)
\(312\) −20.6866 16.7985i −1.17115 0.951025i
\(313\) 15.2016 + 11.6646i 0.859247 + 0.659324i 0.941399 0.337296i \(-0.109512\pi\)
−0.0821514 + 0.996620i \(0.526179\pi\)
\(314\) 10.1375 + 15.7636i 0.572094 + 0.889593i
\(315\) −0.118616 + 7.75935i −0.00668324 + 0.437190i
\(316\) 11.0092 10.2626i 0.619318 0.577317i
\(317\) 11.2885 3.83194i 0.634028 0.215223i 0.0141228 0.999900i \(-0.495504\pi\)
0.619905 + 0.784677i \(0.287171\pi\)
\(318\) 2.23388 0.0168436i 0.125270 0.000944545i
\(319\) 11.7161 + 6.76429i 0.655975 + 0.378727i
\(320\) 4.10411 + 11.1430i 0.229427 + 0.622911i
\(321\) −14.7844 + 4.36168i −0.825183 + 0.243445i
\(322\) 5.16267 + 1.48087i 0.287705 + 0.0825256i
\(323\) 14.2430 + 2.83310i 0.792499 + 0.157638i
\(324\) 17.6534 + 3.51526i 0.980745 + 0.195292i
\(325\) −8.45181 + 12.6490i −0.468822 + 0.701642i
\(326\) 12.5388 + 6.45929i 0.694457 + 0.357747i
\(327\) −3.77282 + 3.04832i −0.208637 + 0.168572i
\(328\) 16.1927 + 3.00560i 0.894091 + 0.165957i
\(329\) 5.64179 + 7.35253i 0.311042 + 0.405358i
\(330\) 11.2144 17.0606i 0.617330 0.939153i
\(331\) 10.5097 + 11.9840i 0.577666 + 0.658702i 0.964696 0.263365i \(-0.0848325\pi\)
−0.387030 + 0.922067i \(0.626499\pi\)
\(332\) −2.81311 4.54774i −0.154389 0.249590i
\(333\) 10.0723 + 4.35360i 0.551956 + 0.238576i
\(334\) 28.7605 + 12.5085i 1.57370 + 0.684433i
\(335\) 11.8660 + 3.17948i 0.648308 + 0.173714i
\(336\) −12.0000 1.33187i −0.654656 0.0726595i
\(337\) −3.58563 + 0.960767i −0.195322 + 0.0523363i −0.355154 0.934808i \(-0.615571\pi\)
0.159832 + 0.987144i \(0.448905\pi\)
\(338\) −23.2016 3.46962i −1.26200 0.188722i
\(339\) −9.48999 + 3.48921i −0.515425 + 0.189508i
\(340\) 17.0637 13.9366i 0.925408 0.755816i
\(341\) 2.82498 + 14.2021i 0.152981 + 0.769088i
\(342\) −3.91274 7.32203i −0.211577 0.395930i
\(343\) −17.6509 7.31123i −0.953058 0.394770i
\(344\) 9.72999 + 1.15425i 0.524606 + 0.0622330i
\(345\) 5.22844 + 2.01360i 0.281490 + 0.108408i
\(346\) 20.5454 22.6146i 1.10453 1.21577i
\(347\) −14.3389 + 7.07117i −0.769753 + 0.379600i −0.784370 0.620293i \(-0.787014\pi\)
0.0146169 + 0.999893i \(0.495347\pi\)
\(348\) 1.17207 8.26324i 0.0628297 0.442956i
\(349\) −13.2267 + 4.48985i −0.708008 + 0.240336i −0.652136 0.758102i \(-0.726127\pi\)
−0.0558716 + 0.998438i \(0.517794\pi\)
\(350\) −0.120906 + 6.89158i −0.00646268 + 0.368370i
\(351\) 26.6743 9.34712i 1.42377 0.498912i
\(352\) 24.7638 + 19.8931i 1.31991 + 1.06031i
\(353\) 0.477365 + 0.826820i 0.0254076 + 0.0440072i 0.878450 0.477835i \(-0.158578\pi\)
−0.853042 + 0.521842i \(0.825245\pi\)
\(354\) 5.86789 + 21.2568i 0.311875 + 1.12979i
\(355\) 2.86341 3.26509i 0.151974 0.173293i
\(356\) −6.48658 1.08667i −0.343788 0.0575932i
\(357\) 4.91983 + 21.8540i 0.260385 + 1.15663i
\(358\) −0.790359 2.46984i −0.0417718 0.130535i
\(359\) −6.17516 14.9082i −0.325912 0.786822i −0.998887 0.0471570i \(-0.984984\pi\)
0.672975 0.739665i \(-0.265016\pi\)
\(360\) −12.3470 2.48759i −0.650743 0.131107i
\(361\) 5.80570 14.0162i 0.305563 0.737694i
\(362\) −1.02246 + 12.2917i −0.0537394 + 0.646037i
\(363\) 1.43510 35.5312i 0.0753230 1.86491i
\(364\) −17.2873 + 7.78368i −0.906102 + 0.407976i
\(365\) −5.53427 + 0.362735i −0.289677 + 0.0189864i
\(366\) 4.24435 + 30.4624i 0.221856 + 1.59229i
\(367\) −27.8708 7.46795i −1.45484 0.389824i −0.557137 0.830421i \(-0.688100\pi\)
−0.897705 + 0.440597i \(0.854767\pi\)
\(368\) −3.89229 + 7.79979i −0.202900 + 0.406592i
\(369\) −11.7170 + 12.9558i −0.609965 + 0.674451i
\(370\) −7.04093 3.06223i −0.366040 0.159198i
\(371\) 0.702948 1.42544i 0.0364952 0.0740050i
\(372\) 7.47689 4.88844i 0.387659 0.253454i
\(373\) −0.141980 0.0481958i −0.00735145 0.00249548i 0.317761 0.948171i \(-0.397069\pi\)
−0.325113 + 0.945675i \(0.605402\pi\)
\(374\) 19.9197 55.4655i 1.03002 2.86805i
\(375\) −2.11716 + 19.9329i −0.109330 + 1.02933i
\(376\) −13.4040 + 6.82518i −0.691259 + 0.351982i
\(377\) −5.01517 12.1077i −0.258295 0.623578i
\(378\) 7.87433 10.0991i 0.405012 0.519441i
\(379\) 16.2749 + 10.8746i 0.835986 + 0.558588i 0.898257 0.439471i \(-0.144834\pi\)
−0.0622705 + 0.998059i \(0.519834\pi\)
\(380\) 2.72628 + 5.12958i 0.139855 + 0.263142i
\(381\) −2.41969 26.6544i −0.123965 1.36555i
\(382\) −4.55164 18.2626i −0.232882 0.934394i
\(383\) 11.6118 20.1123i 0.593336 1.02769i −0.400443 0.916322i \(-0.631144\pi\)
0.993779 0.111367i \(-0.0355230\pi\)
\(384\) 5.67974 18.7547i 0.289843 0.957074i
\(385\) −7.26259 12.5792i −0.370136 0.641094i
\(386\) −14.1257 + 13.6386i −0.718979 + 0.694186i
\(387\) −6.45188 + 8.14732i −0.327968 + 0.414151i
\(388\) −31.7406 1.11405i −1.61138 0.0565575i
\(389\) −0.317472 + 4.84369i −0.0160965 + 0.245585i 0.982227 + 0.187699i \(0.0601028\pi\)
−0.998323 + 0.0578864i \(0.981564\pi\)
\(390\) −18.6794 + 6.49829i −0.945870 + 0.329054i
\(391\) 16.0347 + 2.11101i 0.810911 + 0.106758i
\(392\) 6.10744 9.39914i 0.308472 0.474728i
\(393\) −13.7703 + 18.9095i −0.694620 + 0.953858i
\(394\) −21.3119 25.1792i −1.07368 1.26851i
\(395\) −2.17920 10.9556i −0.109648 0.551236i
\(396\) −31.7364 + 11.3096i −1.59481 + 0.568327i
\(397\) 16.7532 + 25.0729i 0.840819 + 1.25837i 0.963976 + 0.265988i \(0.0856981\pi\)
−0.123157 + 0.992387i \(0.539302\pi\)
\(398\) −0.399534 3.50944i −0.0200268 0.175912i
\(399\) −5.90454 + 0.148130i −0.295597 + 0.00741575i
\(400\) −10.9615 2.23421i −0.548076 0.111710i
\(401\) 5.96302 + 22.2543i 0.297779 + 1.11133i 0.938985 + 0.343957i \(0.111768\pi\)
−0.641206 + 0.767368i \(0.721566\pi\)
\(402\) −12.4619 15.9895i −0.621541 0.797486i
\(403\) 6.20411 12.5807i 0.309049 0.626689i
\(404\) 27.5311 + 19.8270i 1.36972 + 0.986431i
\(405\) 9.11115 9.76996i 0.452737 0.485473i
\(406\) −4.87842 3.38492i −0.242112 0.167991i
\(407\) −20.3627 + 2.68080i −1.00934 + 0.132882i
\(408\) −36.3310 + 1.37780i −1.79865 + 0.0682114i
\(409\) −39.8579 5.24739i −1.97085 0.259467i −0.999787 0.0206270i \(-0.993434\pi\)
−0.971059 0.238840i \(-0.923233\pi\)
\(410\) 8.21916 9.04697i 0.405915 0.446798i
\(411\) −34.6439 + 7.79914i −1.70886 + 0.384703i
\(412\) −12.9170 + 15.6639i −0.636377 + 0.771707i
\(413\) 15.3874 + 3.06074i 0.757163 + 0.150609i
\(414\) −4.88161 7.85206i −0.239918 0.385908i
\(415\) −3.96875 −0.194818
\(416\) −7.30046 29.8920i −0.357934 1.46558i
\(417\) 0.129581 0.537144i 0.00634560 0.0263041i
\(418\) 13.3188 + 8.00437i 0.651445 + 0.391507i
\(419\) −22.8361 20.0268i −1.11562 0.978371i −0.115730 0.993281i \(-0.536921\pi\)
−0.999889 + 0.0149096i \(0.995254\pi\)
\(420\) −5.52581 + 7.05414i −0.269632 + 0.344207i
\(421\) 0.324158 4.94570i 0.0157985 0.241039i −0.982655 0.185444i \(-0.940628\pi\)
0.998453 0.0555950i \(-0.0177056\pi\)
\(422\) −15.6362 3.39640i −0.761157 0.165334i
\(423\) 1.28666 15.9021i 0.0625595 0.773185i
\(424\) 2.06645 + 1.54395i 0.100356 + 0.0749809i
\(425\) 2.70914 + 20.5780i 0.131413 + 0.998178i
\(426\) −7.01812 + 1.45108i −0.340029 + 0.0703053i
\(427\) 20.7206 + 7.03368i 1.00274 + 0.340384i
\(428\) −16.6433 6.30896i −0.804484 0.304955i
\(429\) −33.8735 + 40.6377i −1.63543 + 1.96200i
\(430\) 4.52740 5.69069i 0.218331 0.274429i
\(431\) 11.3926 + 11.3926i 0.548760 + 0.548760i 0.926082 0.377322i \(-0.123155\pi\)
−0.377322 + 0.926082i \(0.623155\pi\)
\(432\) 13.7834 + 15.5569i 0.663155 + 0.748482i
\(433\) 8.11968 8.11968i 0.390207 0.390207i −0.484554 0.874761i \(-0.661018\pi\)
0.874761 + 0.484554i \(0.161018\pi\)
\(434\) −0.718899 6.31469i −0.0345083 0.303115i
\(435\) −4.75795 3.96599i −0.228126 0.190155i
\(436\) −5.59818 + 0.170044i −0.268104 + 0.00814362i
\(437\) −1.37072 + 4.03802i −0.0655705 + 0.193165i
\(438\) 7.64802 + 5.02725i 0.365436 + 0.240211i
\(439\) 35.9815 4.73706i 1.71730 0.226087i 0.793397 0.608705i \(-0.208311\pi\)
0.923907 + 0.382617i \(0.124977\pi\)
\(440\) 22.2246 7.86347i 1.05952 0.374876i
\(441\) 5.09481 + 10.7421i 0.242610 + 0.511529i
\(442\) −48.0177 + 30.8800i −2.28397 + 1.46881i
\(443\) 28.4998 + 1.86798i 1.35407 + 0.0887502i 0.725079 0.688665i \(-0.241803\pi\)
0.628987 + 0.777416i \(0.283470\pi\)
\(444\) 6.22513 + 11.0357i 0.295431 + 0.523731i
\(445\) −3.21842 + 3.66991i −0.152568 + 0.173970i
\(446\) −1.67635 6.72602i −0.0793775 0.318486i
\(447\) −6.86676 1.65654i −0.324786 0.0783515i
\(448\) −10.1077 9.60211i −0.477545 0.453657i
\(449\) 32.7529i 1.54570i 0.634587 + 0.772852i \(0.281170\pi\)
−0.634587 + 0.772852i \(0.718830\pi\)
\(450\) 8.11206 8.65937i 0.382406 0.408207i
\(451\) 6.37869 32.0679i 0.300361 1.51002i
\(452\) −11.1645 3.41551i −0.525136 0.160652i
\(453\) −9.25259 41.1001i −0.434725 1.93105i
\(454\) −30.5251 + 1.46351i −1.43261 + 0.0686858i
\(455\) −1.83660 + 13.9503i −0.0861010 + 0.654002i
\(456\) 1.51253 9.46614i 0.0708308 0.443293i
\(457\) 2.22058 + 16.8670i 0.103874 + 0.789003i 0.961515 + 0.274753i \(0.0885962\pi\)
−0.857640 + 0.514250i \(0.828070\pi\)
\(458\) 18.6142 3.36428i 0.869783 0.157202i
\(459\) 18.9532 33.5835i 0.884660 1.56754i
\(460\) 3.40338 + 5.50199i 0.158683 + 0.256531i
\(461\) −27.6606 13.6407i −1.28828 0.635310i −0.336384 0.941725i \(-0.609204\pi\)
−0.951898 + 0.306415i \(0.900871\pi\)
\(462\) −2.94941 + 23.7876i −0.137219 + 1.10670i
\(463\) 4.29993 1.15216i 0.199835 0.0535456i −0.157513 0.987517i \(-0.550348\pi\)
0.357348 + 0.933971i \(0.383681\pi\)
\(464\) 6.84652 6.78221i 0.317842 0.314856i
\(465\) −0.166275 6.62782i −0.00771080 0.307358i
\(466\) −0.970117 0.771807i −0.0449398 0.0357533i
\(467\) 5.12027 3.42126i 0.236938 0.158317i −0.431433 0.902145i \(-0.641992\pi\)
0.668371 + 0.743828i \(0.266992\pi\)
\(468\) 31.0598 + 10.0237i 1.43574 + 0.463343i
\(469\) −14.1456 + 2.81373i −0.653182 + 0.129926i
\(470\) −0.925415 + 11.1250i −0.0426862 + 0.513160i
\(471\) −18.5555 13.5125i −0.854991 0.622622i
\(472\) −9.44193 + 23.6481i −0.434600 + 1.08849i
\(473\) 2.53902 19.2858i 0.116744 0.886761i
\(474\) −8.02796 + 16.5933i −0.368736 + 0.762157i
\(475\) −5.46086 0.357923i −0.250561 0.0164227i
\(476\) −10.7308 + 23.5355i −0.491844 + 1.07875i
\(477\) −2.54345 + 1.00827i −0.116457 + 0.0461654i
\(478\) 21.6408 + 0.379666i 0.989827 + 0.0173655i
\(479\) 17.4895 10.0975i 0.799114 0.461369i −0.0440473 0.999029i \(-0.514025\pi\)
0.843161 + 0.537661i \(0.180692\pi\)
\(480\) −9.62003 10.9073i −0.439092 0.497848i
\(481\) 17.2302 + 9.94788i 0.785631 + 0.453584i
\(482\) 31.4695 + 18.9126i 1.43340 + 0.861445i
\(483\) −6.55100 + 0.594700i −0.298081 + 0.0270598i
\(484\) 26.1239 31.6793i 1.18745 1.43997i
\(485\) −13.0956 + 19.5989i −0.594640 + 0.889942i
\(486\) −21.7151 + 3.80177i −0.985018 + 0.172452i
\(487\) 9.69239 4.01472i 0.439204 0.181924i −0.152114 0.988363i \(-0.548608\pi\)
0.591318 + 0.806439i \(0.298608\pi\)
\(488\) −17.3615 + 30.9818i −0.785918 + 1.40248i
\(489\) −17.1780 1.82455i −0.776818 0.0825092i
\(490\) −3.54800 7.52457i −0.160282 0.339925i
\(491\) 2.16706 6.38395i 0.0977980 0.288103i −0.887010 0.461750i \(-0.847222\pi\)
0.984808 + 0.173647i \(0.0555550\pi\)
\(492\) −19.8214 + 3.73703i −0.893620 + 0.168478i
\(493\) −16.0362 7.90816i −0.722232 0.356165i
\(494\) −5.51563 14.0059i −0.248160 0.630155i
\(495\) −5.25247 + 24.4469i −0.236081 + 1.09880i
\(496\) 10.2897 + 0.723202i 0.462021 + 0.0324727i
\(497\) −1.31963 + 4.92493i −0.0591935 + 0.220913i
\(498\) 5.22582 + 3.94767i 0.234175 + 0.176899i
\(499\) 0.664548 + 10.1390i 0.0297492 + 0.453886i 0.986584 + 0.163254i \(0.0521989\pi\)
−0.956835 + 0.290632i \(0.906134\pi\)
\(500\) −15.8623 + 16.8561i −0.709382 + 0.753827i
\(501\) −38.3802 1.55016i −1.71470 0.0692562i
\(502\) 21.3759 18.0927i 0.954051 0.807518i
\(503\) −2.77257 1.14844i −0.123623 0.0512062i 0.320015 0.947413i \(-0.396312\pi\)
−0.443637 + 0.896206i \(0.646312\pi\)
\(504\) 14.2927 3.79204i 0.636650 0.168911i
\(505\) 23.2633 9.63597i 1.03520 0.428795i
\(506\) 15.3844 + 7.92522i 0.683920 + 0.352319i
\(507\) 28.0305 6.31032i 1.24488 0.280251i
\(508\) 16.3815 26.2056i 0.726813 1.16268i
\(509\) 9.93615 + 8.71377i 0.440412 + 0.386231i 0.850637 0.525753i \(-0.176217\pi\)
−0.410225 + 0.911984i \(0.634550\pi\)
\(510\) −13.3150 + 23.4692i −0.589600 + 1.03924i
\(511\) 5.63907 3.25572i 0.249458 0.144025i
\(512\) 18.3166 13.2854i 0.809487 0.587138i
\(513\) 7.70981 + 6.62883i 0.340396 + 0.292670i
\(514\) −7.98056 8.26558i −0.352007 0.364579i
\(515\) 4.84353 + 14.2686i 0.213432 + 0.628749i
\(516\) −11.6219 + 2.98981i −0.511625 + 0.131619i
\(517\) 13.2075 + 26.7823i 0.580867 + 1.17788i
\(518\) 9.00402 0.431692i 0.395614 0.0189675i
\(519\) −13.4487 + 34.9204i −0.590332 + 1.53284i
\(520\) −21.7175 7.06284i −0.952374 0.309726i
\(521\) 10.4186 25.1527i 0.456447 1.10196i −0.513379 0.858162i \(-0.671607\pi\)
0.969826 0.243798i \(-0.0783935\pi\)
\(522\) 2.32007 + 9.95488i 0.101547 + 0.435713i
\(523\) −17.2443 + 3.43011i −0.754043 + 0.149988i −0.557122 0.830431i \(-0.688094\pi\)
−0.196921 + 0.980419i \(0.563094\pi\)
\(524\) −25.8662 + 7.77983i −1.12997 + 0.339864i
\(525\) −2.91313 7.92315i −0.127139 0.345795i
\(526\) 16.3064 + 22.0410i 0.710994 + 0.961032i
\(527\) −4.95328 18.4859i −0.215768 0.805259i
\(528\) −37.0858 11.7524i −1.61395 0.511457i
\(529\) 4.72366 17.6290i 0.205377 0.766476i
\(530\) 1.78131 0.701493i 0.0773751 0.0304709i
\(531\) −16.1120 21.6756i −0.699199 0.940643i
\(532\) −5.53433 3.98564i −0.239944 0.172799i
\(533\) −23.8131 + 20.8835i −1.03146 + 0.904565i
\(534\) 7.88826 1.63100i 0.341358 0.0705801i
\(535\) −10.4801 + 8.04166i −0.453094 + 0.347671i
\(536\) −0.300165 23.4064i −0.0129651 1.01100i
\(537\) 1.99603 + 2.47043i 0.0861350 + 0.106607i
\(538\) −40.3047 + 12.8977i −1.73766 + 0.556058i
\(539\) −18.5029 12.3632i −0.796977 0.532523i
\(540\) 15.2006 2.62590i 0.654130 0.113001i
\(541\) 4.90712 24.6698i 0.210974 1.06064i −0.719560 0.694430i \(-0.755656\pi\)
0.930534 0.366206i \(-0.119344\pi\)
\(542\) 1.73019 + 3.12201i 0.0743182 + 0.134102i
\(543\) −4.27448 14.4888i −0.183436 0.621774i
\(544\) −34.3786 24.0950i −1.47397 1.03306i
\(545\) −2.07836 + 3.59983i −0.0890272 + 0.154200i
\(546\) 16.2946 16.5422i 0.697343 0.707939i
\(547\) 2.23311 + 6.57854i 0.0954811 + 0.281278i 0.984168 0.177235i \(-0.0567154\pi\)
−0.888687 + 0.458514i \(0.848382\pi\)
\(548\) −37.3095 17.0109i −1.59378 0.726670i
\(549\) −18.3337 32.9064i −0.782462 1.40441i
\(550\) −4.71421 + 21.7030i −0.201015 + 0.925421i
\(551\) 2.86995 3.74019i 0.122264 0.159337i
\(552\) 0.991389 10.6300i 0.0421963 0.452443i
\(553\) 7.98354 + 10.4043i 0.339495 + 0.442438i
\(554\) −4.86131 10.3098i −0.206537 0.438022i
\(555\) 9.39594 + 0.379499i 0.398836 + 0.0161088i
\(556\) 0.494160 0.403599i 0.0209571 0.0171164i
\(557\) 14.7722 + 22.1081i 0.625917 + 0.936750i 0.999956 + 0.00933768i \(0.00297232\pi\)
−0.374040 + 0.927413i \(0.622028\pi\)
\(558\) −6.37368 + 8.89253i −0.269820 + 0.376451i
\(559\) −13.3244 + 13.3244i −0.563562 + 0.563562i
\(560\) −10.0070 + 2.63081i −0.422872 + 0.111172i
\(561\) 1.81022 + 72.1564i 0.0764274 + 3.04645i
\(562\) 12.4025 + 16.7641i 0.523167 + 0.707152i
\(563\) 29.2595 1.91777i 1.23314 0.0808244i 0.565147 0.824990i \(-0.308819\pi\)
0.667995 + 0.744166i \(0.267153\pi\)
\(564\) 12.2845 13.7283i 0.517270 0.578066i
\(565\) −6.51475 + 5.71328i −0.274077 + 0.240359i
\(566\) 1.16995 + 6.47320i 0.0491767 + 0.272089i
\(567\) −4.52056 + 15.0186i −0.189845 + 0.630724i
\(568\) −7.46816 3.56457i −0.313357 0.149566i
\(569\) 7.47275 9.73867i 0.313274 0.408266i −0.610005 0.792398i \(-0.708832\pi\)
0.923278 + 0.384132i \(0.125499\pi\)
\(570\) −5.38427 4.65053i −0.225522 0.194789i
\(571\) 24.4524 12.0586i 1.02330 0.504636i 0.148395 0.988928i \(-0.452589\pi\)
0.874906 + 0.484292i \(0.160923\pi\)
\(572\) −59.5250 + 13.7313i −2.48887 + 0.574134i
\(573\) 13.2832 + 18.8392i 0.554914 + 0.787017i
\(574\) −3.95674 + 13.7942i −0.165151 + 0.575757i
\(575\) −6.09478 −0.254170
\(576\) 1.81772 + 23.9311i 0.0757383 + 0.997128i
\(577\) −8.01152 −0.333524 −0.166762 0.985997i \(-0.553331\pi\)
−0.166762 + 0.985997i \(0.553331\pi\)
\(578\) −14.8473 + 51.7614i −0.617567 + 2.15299i
\(579\) 10.0920 21.8282i 0.419410 0.907150i
\(580\) −1.60769 6.96933i −0.0667558 0.289386i
\(581\) 4.17898 2.06085i 0.173373 0.0854983i
\(582\) 36.7384 12.7807i 1.52285 0.529778i
\(583\) 3.11753 4.06284i 0.129115 0.168266i
\(584\) 3.52509 + 9.96298i 0.145869 + 0.412271i
\(585\) 18.4533 15.6907i 0.762952 0.648730i
\(586\) −2.86020 15.8252i −0.118154 0.653732i
\(587\) 4.75971 4.17415i 0.196454 0.172286i −0.555467 0.831538i \(-0.687461\pi\)
0.751921 + 0.659253i \(0.229127\pi\)
\(588\) −2.81280 + 13.4371i −0.115998 + 0.554136i
\(589\) 5.03528 0.330030i 0.207475 0.0135986i
\(590\) 11.2397 + 15.1924i 0.462731 + 0.625462i
\(591\) 35.4844 + 19.3169i 1.45963 + 0.794592i
\(592\) −1.97809 + 14.4962i −0.0812991 + 0.595789i
\(593\) 21.1413 21.1413i 0.868169 0.868169i −0.124101 0.992270i \(-0.539605\pi\)
0.992270 + 0.124101i \(0.0396045\pi\)
\(594\) 31.2332 26.9657i 1.28151 1.10641i
\(595\) 10.6654 + 15.9619i 0.437240 + 0.654376i
\(596\) −5.15954 6.31726i −0.211343 0.258765i
\(597\) 2.01001 + 3.83060i 0.0822643 + 0.156776i
\(598\) −7.14977 15.1632i −0.292376 0.620068i
\(599\) −5.65225 7.36616i −0.230945 0.300973i 0.663478 0.748196i \(-0.269080\pi\)
−0.894423 + 0.447223i \(0.852413\pi\)
\(600\) 13.5064 2.30185i 0.551395 0.0939725i
\(601\) 1.41569 1.84497i 0.0577474 0.0752579i −0.763587 0.645705i \(-0.776563\pi\)
0.821334 + 0.570447i \(0.193230\pi\)
\(602\) −1.81224 + 8.34308i −0.0738612 + 0.340038i
\(603\) 21.3097 + 12.7414i 0.867798 + 0.518868i
\(604\) 20.1811 44.2625i 0.821156 1.80101i
\(605\) −9.79574 28.8573i −0.398253 1.17322i
\(606\) −40.2166 10.4516i −1.63369 0.424569i
\(607\) −14.6115 + 25.3079i −0.593064 + 1.02722i 0.400753 + 0.916186i \(0.368749\pi\)
−0.993817 + 0.111031i \(0.964585\pi\)
\(608\) 7.99940 7.65095i 0.324419 0.310287i
\(609\) 7.06941 + 1.70543i 0.286467 + 0.0691073i
\(610\) 12.7766 + 23.0544i 0.517308 + 0.933443i
\(611\) 5.64347 28.3717i 0.228310 1.14779i
\(612\) 40.8771 17.6586i 1.65236 0.713808i
\(613\) 26.9612 + 18.0149i 1.08895 + 0.727615i 0.964360 0.264593i \(-0.0852375\pi\)
0.124593 + 0.992208i \(0.460238\pi\)
\(614\) −35.5834 + 11.3868i −1.43603 + 0.459536i
\(615\) −5.38014 + 13.9699i −0.216948 + 0.563320i
\(616\) −19.3186 + 19.8205i −0.778370 + 0.798593i
\(617\) 15.9495 12.2385i 0.642103 0.492703i −0.235636 0.971841i \(-0.575717\pi\)
0.877739 + 0.479138i \(0.159051\pi\)
\(618\) 7.81512 23.6059i 0.314370 0.949567i
\(619\) −19.5150 + 17.1142i −0.784373 + 0.687877i −0.954719 0.297508i \(-0.903845\pi\)
0.170346 + 0.985384i \(0.445511\pi\)
\(620\) 4.47386 6.21226i 0.179675 0.249490i
\(621\) 9.05084 + 6.80513i 0.363198 + 0.273080i
\(622\) 10.2324 4.02961i 0.410283 0.161573i
\(623\) 1.48324 5.53554i 0.0594249 0.221777i
\(624\) 21.5710 + 30.9021i 0.863531 + 1.23707i
\(625\) 0.826849 + 3.08584i 0.0330740 + 0.123434i
\(626\) −16.1166 21.7844i −0.644150 0.870680i
\(627\) −18.7529 3.24354i −0.748918 0.129534i
\(628\) −7.63417 25.3819i −0.304637 1.01285i
\(629\) 26.6230 5.29565i 1.06153 0.211151i
\(630\) 3.18686 10.5018i 0.126967 0.418400i
\(631\) 5.32817 12.8633i 0.212111 0.512081i −0.781636 0.623735i \(-0.785615\pi\)
0.993747 + 0.111653i \(0.0356146\pi\)
\(632\) −18.9676 + 9.65811i −0.754491 + 0.384179i
\(633\) 19.3590 3.04438i 0.769450 0.121003i
\(634\) −16.8398 + 0.807372i −0.668793 + 0.0320649i
\(635\) −10.1445 20.5710i −0.402573 0.816337i
\(636\) −3.04329 0.848162i −0.120674 0.0336318i
\(637\) 6.92927 + 20.4130i 0.274548 + 0.808791i
\(638\) −13.2892 13.7638i −0.526124 0.544914i
\(639\) 7.37167 4.76424i 0.291619 0.188470i
\(640\) −1.23412 16.7480i −0.0487827 0.662024i
\(641\) 35.0737 20.2498i 1.38533 0.799820i 0.392545 0.919733i \(-0.371595\pi\)
0.992784 + 0.119912i \(0.0382613\pi\)
\(642\) 21.7985 0.164363i 0.860320 0.00648688i
\(643\) 19.1216 + 16.7692i 0.754082 + 0.661312i 0.947482 0.319808i \(-0.103618\pi\)
−0.193401 + 0.981120i \(0.561952\pi\)
\(644\) −6.44067 4.02617i −0.253798 0.158653i
\(645\) −2.65042 + 8.50278i −0.104360 + 0.334797i
\(646\) −18.2571 9.40507i −0.718315 0.370037i
\(647\) −16.9878 + 7.03658i −0.667859 + 0.276636i −0.690741 0.723102i \(-0.742716\pi\)
0.0228822 + 0.999738i \(0.492716\pi\)
\(648\) −22.6272 11.6622i −0.888882 0.458136i
\(649\) 46.7038 + 19.3453i 1.83328 + 0.759371i
\(650\) 16.4216 13.8994i 0.644108 0.545180i
\(651\) 3.61670 + 6.89258i 0.141750 + 0.270141i
\(652\) −14.5264 13.6700i −0.568899 0.535357i
\(653\) 0.922037 + 14.0676i 0.0360821 + 0.550506i 0.977186 + 0.212388i \(0.0681239\pi\)
−0.941103 + 0.338119i \(0.890209\pi\)
\(654\) 6.31738 2.67273i 0.247029 0.104512i
\(655\) −5.18847 + 19.3636i −0.202730 + 0.756599i
\(656\) −20.8403 10.3998i −0.813676 0.406045i
\(657\) −10.9592 2.35461i −0.427559 0.0918621i
\(658\) −4.80245 12.1949i −0.187219 0.475407i
\(659\) 16.5466 + 8.15988i 0.644564 + 0.317864i 0.735029 0.678036i \(-0.237169\pi\)
−0.0904650 + 0.995900i \(0.528835\pi\)
\(660\) −21.8972 + 18.8192i −0.852347 + 0.732537i
\(661\) 6.86084 20.2114i 0.266856 0.786131i −0.728069 0.685504i \(-0.759582\pi\)
0.994924 0.100627i \(-0.0320849\pi\)
\(662\) −9.61390 20.3891i −0.373655 0.792444i
\(663\) 41.1605 56.5219i 1.59854 2.19513i
\(664\) 2.05082 + 7.27909i 0.0795873 + 0.282484i
\(665\) −4.67640 + 1.93703i −0.181343 + 0.0751148i
\(666\) −11.9946 9.84575i −0.464780 0.381515i
\(667\) 2.91698 4.36556i 0.112946 0.169035i
\(668\) −34.2194 28.2186i −1.32399 1.09181i
\(669\) 4.89215 + 6.93838i 0.189142 + 0.268253i
\(670\) −14.8908 8.94909i −0.575281 0.345733i
\(671\) 61.0605 + 35.2533i 2.35721 + 1.36094i
\(672\) 15.7934 + 6.48972i 0.609246 + 0.250346i
\(673\) −2.54263 + 1.46799i −0.0980111 + 0.0565867i −0.548204 0.836344i \(-0.684688\pi\)
0.450193 + 0.892931i \(0.351355\pi\)
\(674\) 5.24892 + 0.0920869i 0.202181 + 0.00354706i
\(675\) −5.42944 + 13.4798i −0.208979 + 0.518840i
\(676\) 30.1873 + 13.7636i 1.16105 + 0.529370i
\(677\) 9.24034 + 0.605644i 0.355135 + 0.0232768i 0.241927 0.970295i \(-0.422221\pi\)
0.113208 + 0.993571i \(0.463887\pi\)
\(678\) 14.2612 1.04277i 0.547698 0.0400475i
\(679\) 3.61219 27.4373i 0.138623 1.05295i
\(680\) −28.6306 + 12.2916i −1.09793 + 0.471362i
\(681\) 34.2093 15.1860i 1.31090 0.581927i
\(682\) 1.69759 20.4078i 0.0650040 0.781457i
\(683\) −19.7177 + 3.92209i −0.754476 + 0.150075i −0.557320 0.830298i \(-0.688170\pi\)
−0.197155 + 0.980372i \(0.563170\pi\)
\(684\) 2.46387 + 11.4792i 0.0942085 + 0.438919i
\(685\) −25.3036 + 16.9073i −0.966800 + 0.645995i
\(686\) 21.1436 + 16.8215i 0.807268 + 0.642247i
\(687\) −19.7664 + 12.0830i −0.754134 + 0.460996i
\(688\) −12.7768 5.36310i −0.487111 0.204466i
\(689\) −4.79183 + 1.28397i −0.182554 + 0.0489153i
\(690\) −6.32235 4.77600i −0.240688 0.181819i
\(691\) 25.8482 + 12.7469i 0.983312 + 0.484916i 0.861566 0.507646i \(-0.169484\pi\)
0.121746 + 0.992561i \(0.461151\pi\)
\(692\) −36.7474 + 22.7310i −1.39693 + 0.864101i
\(693\) −7.16378 28.4693i −0.272130 1.08146i
\(694\) 22.2495 4.02133i 0.844580 0.152647i
\(695\) −0.0618081 0.469479i −0.00234451 0.0178084i
\(696\) −4.81540 + 10.7760i −0.182527 + 0.408462i
\(697\) −5.64042 + 42.8432i −0.213646 + 1.62280i
\(698\) 19.7310 0.945991i 0.746830 0.0358063i
\(699\) 1.44951 + 0.451829i 0.0548254 + 0.0170897i
\(700\) 2.85160 9.32123i 0.107780 0.352309i
\(701\) 8.24172 41.4339i 0.311286 1.56494i −0.435696 0.900094i \(-0.643498\pi\)
0.746982 0.664844i \(-0.231502\pi\)
\(702\) −39.9057 + 2.30528i −1.50614 + 0.0870073i
\(703\) 7.15717i 0.269938i
\(704\) −25.9068 36.6988i −0.976400 1.38314i
\(705\) −3.86878 13.1136i −0.145707 0.493887i
\(706\) −0.326525 1.31011i −0.0122889 0.0493068i
\(707\) −19.4920 + 22.2263i −0.733070 + 0.835906i
\(708\) 0.311925 31.1845i 0.0117229 1.17199i
\(709\) 2.46396 + 0.161497i 0.0925361 + 0.00606513i 0.111601 0.993753i \(-0.464402\pi\)
−0.0190648 + 0.999818i \(0.506069\pi\)
\(710\) −5.16566 + 3.32201i −0.193864 + 0.124673i
\(711\) 1.82071 22.5026i 0.0682821 0.843912i
\(712\) 8.39409 + 4.00652i 0.314582 + 0.150151i
\(713\) 5.57173 0.733532i 0.208663 0.0274710i
\(714\) 1.83354 31.6266i 0.0686185 1.18359i
\(715\) −14.5734 + 42.9319i −0.545015 + 1.60556i
\(716\) 0.111344 + 3.66567i 0.00416112 + 0.136993i
\(717\) −24.8801 + 9.14775i −0.929166 + 0.341629i
\(718\) 2.58133 + 22.6739i 0.0963343 + 0.846184i
\(719\) −21.1172 + 21.1172i −0.787538 + 0.787538i −0.981090 0.193552i \(-0.937999\pi\)
0.193552 + 0.981090i \(0.437999\pi\)
\(720\) 15.8144 + 8.19608i 0.589369 + 0.305450i
\(721\) −12.5093 12.5093i −0.465872 0.465872i
\(722\) −13.3576 + 16.7897i −0.497118 + 0.624849i
\(723\) −44.3090 7.66377i −1.64787 0.285019i
\(724\) 6.18284 16.3106i 0.229783 0.606178i
\(725\) 6.38047 + 2.16588i 0.236965 + 0.0804387i
\(726\) −15.8056 + 47.7414i −0.586600 + 1.77185i
\(727\) −0.0519977 0.394962i −0.00192849 0.0146483i 0.990454 0.137847i \(-0.0440182\pi\)
−0.992382 + 0.123198i \(0.960685\pi\)
\(728\) 26.5354 3.84023i 0.983468 0.142328i
\(729\) 23.1137 13.9555i 0.856063 0.516871i
\(730\) 7.66469 + 1.66488i 0.283683 + 0.0616200i
\(731\) −1.68145 + 25.6540i −0.0621908 + 0.948848i
\(732\) 6.10847 43.0654i 0.225776 1.59174i
\(733\) 20.0277 + 17.5639i 0.739742 + 0.648736i 0.943911 0.330200i \(-0.107116\pi\)
−0.204170 + 0.978936i \(0.565449\pi\)
\(734\) 34.9754 + 21.0196i 1.29096 + 0.775846i
\(735\) 7.38297 + 7.02160i 0.272325 + 0.258995i
\(736\) 8.33254 9.08526i 0.307142 0.334887i
\(737\) −46.4721 −1.71182
\(738\) 20.9799 13.0432i 0.772282 0.480126i
\(739\) −33.4320 6.65005i −1.22982 0.244626i −0.462923 0.886399i \(-0.653199\pi\)
−0.766895 + 0.641773i \(0.778199\pi\)
\(740\) 8.37734 + 6.90825i 0.307957 + 0.253952i
\(741\) 12.4994 + 13.5516i 0.459177 + 0.497831i
\(742\) −1.51141 + 1.66363i −0.0554855 + 0.0610738i
\(743\) 34.4077 + 4.52986i 1.26230 + 0.166184i 0.731810 0.681509i \(-0.238676\pi\)
0.530486 + 0.847693i \(0.322009\pi\)
\(744\) −12.0702 + 3.72985i −0.442515 + 0.136743i
\(745\) −6.00174 + 0.790144i −0.219887 + 0.0289486i
\(746\) 0.174214 + 0.120880i 0.00637843 + 0.00442571i
\(747\) −7.71527 2.19423i −0.282287 0.0802826i
\(748\) −48.7065 + 67.6322i −1.78089 + 2.47288i
\(749\) 6.85947 13.9096i 0.250640 0.508247i
\(750\) 10.6505 26.2712i 0.388902 0.959288i
\(751\) 1.83130 + 6.83452i 0.0668253 + 0.249395i 0.991256 0.131956i \(-0.0421256\pi\)
−0.924430 + 0.381351i \(0.875459\pi\)
\(752\) 20.8827 4.05148i 0.761513 0.147742i
\(753\) −16.3991 + 30.1244i −0.597616 + 1.09780i
\(754\) 2.09643 + 18.4147i 0.0763476 + 0.670624i
\(755\) −20.0582 30.0192i −0.729992 1.09251i
\(756\) −14.6423 + 10.6582i −0.532534 + 0.387635i
\(757\) −8.77051 44.0923i −0.318770 1.60256i −0.724971 0.688780i \(-0.758147\pi\)
0.406201 0.913784i \(-0.366853\pi\)
\(758\) −17.8837 21.1289i −0.649566 0.767436i
\(759\) −21.0766 2.23863i −0.765031 0.0812573i
\(760\) −1.70590 8.03619i −0.0618797 0.291503i
\(761\) −30.1453 3.96871i −1.09277 0.143866i −0.437468 0.899234i \(-0.644125\pi\)
−0.655300 + 0.755369i \(0.727458\pi\)
\(762\) −7.10407 + 37.1774i −0.257353 + 1.34680i
\(763\) 0.319180 4.86975i 0.0115551 0.176297i
\(764\) −0.933657 + 26.6008i −0.0337785 + 0.962385i
\(765\) 4.81388 32.6951i 0.174046 1.18209i
\(766\) −23.6274 + 22.8127i −0.853694 + 0.824256i
\(767\) −24.4851 42.4094i −0.884104 1.53131i
\(768\) −15.0341 + 23.2804i −0.542495 + 0.840059i
\(769\) −19.0233 + 32.9493i −0.685997 + 1.18818i 0.287126 + 0.957893i \(0.407300\pi\)
−0.973122 + 0.230288i \(0.926033\pi\)
\(770\) 4.96772 + 19.9320i 0.179024 + 0.718299i
\(771\) 12.7727