Properties

Label 576.2.bl.a.11.9
Level $576$
Weight $2$
Character 576.11
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 11.9
Character \(\chi\) \(=\) 576.11
Dual form 576.2.bl.a.419.9

$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

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

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 0.714896 0.699231i \(-0.246474\pi\)
−0.119536 + 0.992830i \(0.538141\pi\)
\(6\) −2.40596 + 0.459744i −0.982228 + 0.187690i
\(7\) −1.06088 1.38257i −0.400976 0.522562i 0.548606 0.836081i \(-0.315159\pi\)
−0.949582 + 0.313519i \(0.898492\pi\)
\(8\) −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 −0.987453 0.157914i \(-0.949523\pi\)
−0.285451 0.958393i \(-0.592144\pi\)
\(12\) 3.09138 1.56313i 0.892404 0.451237i
\(13\) 5.42788 + 0.355762i 1.50542 + 0.0986707i 0.795649 0.605758i \(-0.207130\pi\)
0.709775 + 0.704429i \(0.248797\pi\)
\(14\) 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 0.944637 + 0.328118i \(0.106415\pi\)
0.328118 + 0.944637i \(0.393585\pi\)
\(18\) −4.22217 + 0.416286i −0.995175 + 0.0981195i
\(19\) 1.08713 1.62700i 0.249404 0.373260i −0.685552 0.728024i \(-0.740439\pi\)
0.934956 + 0.354764i \(0.115439\pi\)
\(20\) 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 −0.634292 0.773093i \(-0.718708\pi\)
0.910918 + 0.412588i \(0.135375\pi\)
\(24\) −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 −0.994839 0.101470i \(-0.967645\pi\)
0.851030 + 0.525117i \(0.175979\pi\)
\(30\) −3.50480 0.967489i −0.639886 0.176639i
\(31\) 1.28939 + 2.23328i 0.231580 + 0.401109i 0.958273 0.285853i \(-0.0922770\pi\)
−0.726693 + 0.686962i \(0.758944\pi\)
\(32\) −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 −0.279880 0.960035i \(-0.590295\pi\)
0.779851 + 0.625965i \(0.215295\pi\)
\(38\) −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 0.181473 0.983396i \(-0.441914\pi\)
−0.902919 + 0.429811i \(0.858580\pi\)
\(42\) 3.18807 + 2.83867i 0.491930 + 0.438017i
\(43\) −2.60452 2.28410i −0.397185 0.348322i 0.437336 0.899298i \(-0.355922\pi\)
−0.834521 + 0.550976i \(0.814255\pi\)
\(44\) −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 0.990698 + 0.136082i \(0.0434509\pi\)
−0.789929 + 0.613199i \(0.789882\pi\)
\(48\) 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 0.133274 0.991079i \(-0.457451\pi\)
−0.256140 + 0.966640i \(0.582451\pi\)
\(54\) −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 0.467540 + 0.883972i \(0.345140\pi\)
−0.985922 + 0.167203i \(0.946526\pi\)
\(60\) 5.14166 0.0514298i 0.663785 0.00663956i
\(61\) −4.03610 + 11.8900i −0.516770 + 1.52236i 0.304896 + 0.952386i \(0.401378\pi\)
−0.821666 + 0.569969i \(0.806955\pi\)
\(62\) −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 −0.188797 0.982016i \(-0.560459\pi\)
0.948972 + 0.315360i \(0.102125\pi\)
\(68\) 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 0.537267 0.843412i \(-0.319457\pi\)
−0.216477 + 0.976288i \(0.569457\pi\)
\(72\) −6.71909 + 5.18207i −0.791852 + 0.610713i
\(73\) −3.45201 + 1.42987i −0.404027 + 0.167354i −0.575437 0.817846i \(-0.695168\pi\)
0.171410 + 0.985200i \(0.445168\pi\)
\(74\) −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 0.984670 + 0.174427i \(0.0558073\pi\)
−0.765536 + 0.643393i \(0.777526\pi\)
\(80\) 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 −0.569109 0.822262i \(-0.692712\pi\)
0.305893 + 0.952066i \(0.401045\pi\)
\(84\) −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 0.215804 0.976437i \(-0.430763\pi\)
−0.537849 + 0.843041i \(0.680763\pi\)
\(90\) −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 −0.402348 0.915487i \(-0.631806\pi\)
−0.994009 + 0.109299i \(0.965139\pi\)
\(98\) 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 0.807090 0.590429i \(-0.201041\pi\)
0.877251 + 0.480032i \(0.159375\pi\)
\(102\) −15.0384 10.2132i −1.48902 1.01125i
\(103\) −1.32503 10.0646i −0.130559 0.991696i −0.923824 0.382819i \(-0.874953\pi\)
0.793264 0.608877i \(-0.208380\pi\)
\(104\) −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 −0.245789 0.969323i \(-0.579047\pi\)
−0.598024 + 0.801478i \(0.704047\pi\)
\(108\) 9.96698 2.94268i 0.959073 0.283160i
\(109\) −2.32843 1.55581i −0.223023 0.149019i 0.439040 0.898468i \(-0.355319\pi\)
−0.662063 + 0.749448i \(0.730319\pi\)
\(110\) 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 −0.0163526 0.999866i \(-0.505205\pi\)
−0.514095 + 0.857733i \(0.671872\pi\)
\(114\) −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 \(0.240452\pi\)
−0.727996 + 0.685582i \(0.759548\pi\)
\(128\) 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 0.218039 0.975940i \(-0.430034\pi\)
−0.996051 + 0.0887877i \(0.971701\pi\)
\(132\) −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 −0.805321 0.592839i \(-0.798007\pi\)
−0.931318 + 0.364206i \(0.881340\pi\)
\(138\) −2.39700 + 4.76963i −0.204046 + 0.406018i
\(139\) 0.102545 + 0.302087i 0.00869772 + 0.0256226i 0.951192 0.308599i \(-0.0998600\pi\)
−0.942495 + 0.334221i \(0.891527\pi\)
\(140\) −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 −0.475109 0.879927i \(-0.657591\pi\)
0.158736 + 0.987321i \(0.449258\pi\)
\(150\) 5.11631 + 4.55559i 0.417745 + 0.371962i
\(151\) −3.17480 + 24.1150i −0.258361 + 1.96245i 0.0128139 + 0.999918i \(0.495921\pi\)
−0.271175 + 0.962530i \(0.587412\pi\)
\(152\) 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 −0.957202 0.289419i \(-0.906538\pi\)
0.162003 + 0.986790i \(0.448204\pi\)
\(158\) −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 −0.562681 0.826674i \(-0.690230\pi\)
−0.203496 + 0.979076i \(0.565230\pi\)
\(164\) −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 −0.917743 0.397176i \(-0.869990\pi\)
−0.783675 + 0.621171i \(0.786657\pi\)
\(168\) 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 −0.874922 0.484263i \(-0.839088\pi\)
0.148427 0.988923i \(-0.452579\pi\)
\(174\) 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 −0.791443 0.611243i \(-0.790670\pi\)
0.867587 + 0.497285i \(0.165670\pi\)
\(180\) 8.87720 + 0.716428i 0.661667 + 0.0533994i
\(181\) −1.70149 + 8.55397i −0.126471 + 0.635812i 0.864598 + 0.502464i \(0.167573\pi\)
−0.991069 + 0.133348i \(0.957427\pi\)
\(182\) 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 −0.518286 0.855208i \(-0.673430\pi\)
0.999774 + 0.0212447i \(0.00676290\pi\)
\(192\) −0.203974 13.8549i −0.0147206 0.999892i
\(193\) 6.94214 + 12.0241i 0.499706 + 0.865516i 1.00000 0.000339280i \(-0.000107996\pi\)
−0.500294 + 0.865856i \(0.666775\pi\)
\(194\) 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 0.381819 0.924237i \(-0.375298\pi\)
1.00000 0.000935986i \(0.000297934\pi\)
\(198\) 19.3662 + 13.8746i 1.37629 + 0.986024i
\(199\) 0.955781 2.30746i 0.0677535 0.163572i −0.886376 0.462967i \(-0.846785\pi\)
0.954129 + 0.299395i \(0.0967849\pi\)
\(200\) 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 0.448859 0.893603i \(-0.351831\pi\)
0.328380 + 0.944546i \(0.393497\pi\)
\(212\) −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 −0.772226 0.635348i \(-0.780857\pi\)
0.936341 + 0.351093i \(0.114190\pi\)
\(224\) 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 0.903096 0.429439i \(-0.141289\pi\)
0.455048 + 0.890467i \(0.349622\pi\)
\(228\) 0.817506 6.72900i 0.0541407 0.445639i
\(229\) −11.9961 5.91581i −0.792723 0.390928i 0.000391686 1.00000i \(-0.499875\pi\)
−0.793115 + 0.609072i \(0.791542\pi\)
\(230\) −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 −0.355998 0.934487i \(-0.615859\pi\)
0.409054 + 0.912510i \(0.365859\pi\)
\(234\) −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 −0.253236 0.967405i \(-0.581495\pi\)
−0.703011 + 0.711179i \(0.748162\pi\)
\(240\) 8.66526 5.53810i 0.559340 0.357483i
\(241\) −25.0770 + 6.71937i −1.61535 + 0.432833i −0.949632 0.313367i \(-0.898543\pi\)
−0.665722 + 0.746200i \(0.731876\pi\)
\(242\) −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 −0.996302 0.0859256i \(-0.972615\pi\)
0.301883 0.953345i \(-0.402385\pi\)
\(252\) −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 −0.264239 0.964457i \(-0.585121\pi\)
0.703125 + 0.711067i \(0.251788\pi\)
\(258\) 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 −0.962252 0.272162i \(-0.912261\pi\)
0.0138389 + 0.999904i \(0.495595\pi\)
\(264\) 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 0.986097 + 0.166173i \(0.0531409\pi\)
0.530886 + 0.847443i \(0.321859\pi\)
\(270\) −9.81985 4.74841i −0.597617 0.288979i
\(271\) −1.78469 + 1.78469i −0.108412 + 0.108412i −0.759232 0.650820i \(-0.774425\pi\)
0.650820 + 0.759232i \(0.274425\pi\)
\(272\) 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 −0.569815 0.821773i \(-0.692985\pi\)
0.889119 + 0.457677i \(0.151318\pi\)
\(278\) −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 −0.895653 0.444754i \(-0.853291\pi\)
0.197787 + 0.980245i \(0.436625\pi\)
\(282\) −5.67319 11.7262i −0.337833 0.698282i
\(283\) −2.05726 + 4.17172i −0.122292 + 0.247983i −0.949406 0.314050i \(-0.898314\pi\)
0.827115 + 0.562033i \(0.189981\pi\)
\(284\) 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 −0.699039 0.715083i \(-0.746389\pi\)
0.992862 + 0.119270i \(0.0380554\pi\)
\(294\) −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 0.991845 0.127449i \(-0.0406791\pi\)
0.261815 + 0.965118i \(0.415679\pi\)
\(308\) 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 0.418866 0.908048i \(-0.362428\pi\)
−0.768696 + 0.639614i \(0.779094\pi\)
\(312\) −20.6866 + 16.7985i −1.17115 + 0.951025i
\(313\) 15.2016 11.6646i 0.859247 0.659324i −0.0821514 0.996620i \(-0.526179\pi\)
0.941399 + 0.337296i \(0.109512\pi\)
\(314\) 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 0.619905 0.784677i \(-0.287171\pi\)
0.0141228 + 0.999900i \(0.495504\pi\)
\(318\) 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 −0.387030 0.922067i \(-0.626499\pi\)
0.964696 + 0.263365i \(0.0848325\pi\)
\(332\) −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 0.159832 0.987144i \(-0.448905\pi\)
−0.355154 + 0.934808i \(0.615571\pi\)
\(338\) −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 0.0146169 0.999893i \(-0.495347\pi\)
−0.784370 + 0.620293i \(0.787014\pi\)
\(348\) 1.17207 + 8.26324i 0.0628297 + 0.442956i
\(349\) −13.2267 4.48985i −0.708008 0.240336i −0.0558716 0.998438i \(-0.517794\pi\)
−0.652136 + 0.758102i \(0.726127\pi\)
\(350\) −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 −0.853042 0.521842i \(-0.825245\pi\)
0.878450 + 0.477835i \(0.158578\pi\)
\(354\) 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 0.672975 + 0.739665i \(0.265016\pi\)
−0.998887 + 0.0471570i \(0.984984\pi\)
\(360\) −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 −0.897705 0.440597i \(-0.854767\pi\)
−0.557137 + 0.830421i \(0.688100\pi\)
\(368\) −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 −0.325113 0.945675i \(-0.605402\pi\)
0.317761 + 0.948171i \(0.397069\pi\)
\(374\) 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 −0.0622705 0.998059i \(-0.519834\pi\)
0.898257 + 0.439471i \(0.144834\pi\)
\(380\) 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 0.993779 + 0.111367i \(0.0355230\pi\)
−0.400443 + 0.916322i \(0.631144\pi\)
\(384\) 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 −0.998323 0.0578864i \(-0.981564\pi\)
0.982227 0.187699i \(-0.0601028\pi\)
\(390\) −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 −0.123157 0.992387i \(-0.539302\pi\)
0.963976 0.265988i \(-0.0856981\pi\)
\(398\) −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 −0.641206 0.767368i \(-0.721566\pi\)
0.938985 0.343957i \(-0.111768\pi\)
\(402\) −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 −0.971059 + 0.238840i \(0.923233\pi\)
−0.999787 + 0.0206270i \(0.993434\pi\)
\(410\) 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 −0.999889 0.0149096i \(-0.995254\pi\)
−0.115730 + 0.993281i \(0.536921\pi\)
\(420\) −5.52581 7.05414i −0.269632 0.344207i
\(421\) 0.324158 + 4.94570i 0.0157985 + 0.241039i 0.998453 + 0.0555950i \(0.0177056\pi\)
−0.982655 + 0.185444i \(0.940628\pi\)
\(422\) −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 −0.377322 0.926082i \(-0.623155\pi\)
0.926082 + 0.377322i \(0.123155\pi\)
\(432\) 13.7834 15.5569i 0.663155 0.748482i
\(433\) 8.11968 + 8.11968i 0.390207 + 0.390207i 0.874761 0.484554i \(-0.161018\pi\)
−0.484554 + 0.874761i \(0.661018\pi\)
\(434\) −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 0.923907 0.382617i \(-0.124977\pi\)
0.793397 + 0.608705i \(0.208311\pi\)
\(440\) 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 0.628987 0.777416i \(-0.283470\pi\)
0.725079 + 0.688665i \(0.241803\pi\)
\(444\) 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 \(-0.718830\pi\)
0.634587 0.772852i \(-0.281170\pi\)
\(450\) 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 −0.857640 0.514250i \(-0.828070\pi\)
0.961515 0.274753i \(-0.0885962\pi\)
\(458\) 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 −0.951898 0.306415i \(-0.900871\pi\)
−0.336384 + 0.941725i \(0.609204\pi\)
\(462\) −2.94941 23.7876i −0.137219 1.10670i
\(463\) 4.29993 + 1.15216i 0.199835 + 0.0535456i 0.357348 0.933971i \(-0.383681\pi\)
−0.157513 + 0.987517i \(0.550348\pi\)
\(464\) 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 0.668371 0.743828i \(-0.266992\pi\)
−0.431433 + 0.902145i \(0.641992\pi\)
\(468\) 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 0.843161 0.537661i \(-0.180692\pi\)
−0.0440473 + 0.999029i \(0.514025\pi\)
\(480\) −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 0.591318 0.806439i \(-0.298608\pi\)
−0.152114 + 0.988363i \(0.548608\pi\)
\(488\) −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 0.984808 0.173647i \(-0.0555550\pi\)
−0.887010 + 0.461750i \(0.847222\pi\)
\(492\) −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 −0.956835 0.290632i \(-0.906134\pi\)
0.986584 0.163254i \(-0.0521989\pi\)
\(500\) −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 −0.443637 0.896206i \(-0.646312\pi\)
0.320015 + 0.947413i \(0.396312\pi\)
\(504\) 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 −0.410225 0.911984i \(-0.634550\pi\)
0.850637 + 0.525753i \(0.176217\pi\)
\(510\) −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 0.969826 + 0.243798i \(0.0783935\pi\)
−0.513379 + 0.858162i \(0.671607\pi\)
\(522\) 2.32007 9.95488i 0.101547 0.435713i
\(523\) −17.2443 3.43011i −0.754043 0.149988i −0.196921 0.980419i \(-0.563094\pi\)
−0.557122 + 0.830431i \(0.688094\pi\)
\(524\) −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 0.930534 + 0.366206i \(0.119344\pi\)
−0.719560 + 0.694430i \(0.755656\pi\)
\(542\) 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 −0.888687 0.458514i \(-0.848382\pi\)
0.984168 + 0.177235i \(0.0567154\pi\)
\(548\) −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 −0.374040 0.927413i \(-0.622028\pi\)
0.999956 0.00933768i \(-0.00297232\pi\)
\(558\) −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 0.667995 0.744166i \(-0.267153\pi\)
0.565147 + 0.824990i \(0.308819\pi\)
\(564\) 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 0.923278 0.384132i \(-0.125499\pi\)
−0.610005 + 0.792398i \(0.708832\pi\)
\(570\) −5.38427 + 4.65053i −0.225522 + 0.194789i
\(571\) 24.4524 + 12.0586i 1.02330 + 0.504636i 0.874906 0.484292i \(-0.160923\pi\)
0.148395 + 0.988928i \(0.452589\pi\)
\(572\) −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 0.751921 0.659253i \(-0.229127\pi\)
−0.555467 + 0.831538i \(0.687461\pi\)
\(588\) −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 0.992270 0.124101i \(-0.0396045\pi\)
−0.124101 + 0.992270i \(0.539605\pi\)
\(594\) 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 −0.894423 0.447223i \(-0.852413\pi\)
0.663478 + 0.748196i \(0.269080\pi\)
\(600\) 13.5064 + 2.30185i 0.551395 + 0.0939725i
\(601\) 1.41569 + 1.84497i 0.0577474 + 0.0752579i 0.821334 0.570447i \(-0.193230\pi\)
−0.763587 + 0.645705i \(0.776563\pi\)
\(602\) −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 −0.993817 0.111031i \(-0.964585\pi\)
0.400753 0.916186i \(-0.368749\pi\)
\(608\) 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 0.124593 0.992208i \(-0.460238\pi\)
0.964360 + 0.264593i \(0.0852375\pi\)
\(614\) −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 0.877739 0.479138i \(-0.159051\pi\)
−0.235636 + 0.971841i \(0.575717\pi\)
\(618\) 7.81512 + 23.6059i 0.314370 + 0.949567i
\(619\) −19.5150 17.1142i −0.784373 0.687877i 0.170346 0.985384i \(-0.445511\pi\)
−0.954719 + 0.297508i \(0.903845\pi\)
\(620\) 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 0.993747 0.111653i \(-0.0356146\pi\)
−0.781636 + 0.623735i \(0.785615\pi\)
\(632\) −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 0.992784 0.119912i \(-0.0382613\pi\)
0.392545 + 0.919733i \(0.371595\pi\)
\(642\) 21.7985 + 0.164363i 0.860320 + 0.00648688i
\(643\) 19.1216 16.7692i 0.754082 0.661312i −0.193401 0.981120i \(-0.561952\pi\)
0.947482 + 0.319808i \(0.103618\pi\)
\(644\) −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 0.0228822 0.999738i \(-0.492716\pi\)
−0.690741 + 0.723102i \(0.742716\pi\)
\(648\) −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 −0.941103 0.338119i \(-0.890209\pi\)
0.977186 0.212388i \(-0.0681239\pi\)
\(654\) 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 −0.0904650 0.995900i \(-0.528835\pi\)
0.735029 + 0.678036i \(0.237169\pi\)
\(660\) −21.8972 18.8192i −0.852347 0.732537i
\(661\) 6.86084 + 20.2114i 0.266856 + 0.786131i 0.994924 + 0.100627i \(0.0320849\pi\)
−0.728069 + 0.685504i \(0.759582\pi\)
\(662\) −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 0.450193 0.892931i \(-0.351355\pi\)
−0.548204 + 0.836344i \(0.684688\pi\)
\(674\) 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 0.113208 0.993571i \(-0.463887\pi\)
0.241927 + 0.970295i \(0.422221\pi\)
\(678\) 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 −0.197155 0.980372i \(-0.563170\pi\)
−0.557320 + 0.830298i \(0.688170\pi\)
\(684\) 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 0.121746 0.992561i \(-0.461151\pi\)
0.861566 + 0.507646i \(0.169484\pi\)
\(692\) −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 0.746982 + 0.664844i \(0.231502\pi\)
−0.435696 + 0.900094i \(0.643498\pi\)
\(702\) −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 −0.0190648 0.999818i \(-0.506069\pi\)
0.111601 + 0.993753i \(0.464402\pi\)
\(710\) −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 0.193552 0.981090i \(-0.437999\pi\)
−0.981090 + 0.193552i \(0.937999\pi\)
\(720\) 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 −0.992382 0.123198i \(-0.960685\pi\)
0.990454 + 0.137847i \(0.0440182\pi\)
\(728\) 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 −0.204170 0.978936i \(-0.565449\pi\)
0.943911 + 0.330200i \(0.107116\pi\)
\(734\) 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 −0.766895 0.641773i \(-0.778199\pi\)
−0.462923 + 0.886399i \(0.653199\pi\)
\(740\) 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 0.530486 0.847693i \(-0.322009\pi\)
0.731810 + 0.681509i \(0.238676\pi\)
\(744\) −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 −0.924430 0.381351i \(-0.875459\pi\)
0.991256 + 0.131956i \(0.0421256\pi\)
\(752\) 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 0.406201 + 0.913784i \(0.366853\pi\)
−0.724971 + 0.688780i \(0.758147\pi\)
\(758\) −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 −0.655300 0.755369i \(-0.727458\pi\)
−0.437468 + 0.899234i \(0.644125\pi\)
\(762\) −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 −0.973122 0.230288i \(-0.926033\pi\)
0.287126 0.957893i \(-0.407300\pi\)
\(770\) 4.96772 19.9320i 0.179024 0.718299i
\(771\) 12.7727