Properties

Label 441.2.z.a.142.1
Level $441$
Weight $2$
Character 441.142
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 142.1
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.02455 + 2.61051i) q^{2} +(1.47366 + 0.910122i) q^{3} +(-4.29896 - 3.98885i) q^{4} +(1.33021 - 0.640594i) q^{5} +(-3.88572 + 2.91454i) q^{6} +(0.948892 - 2.46974i) q^{7} +(9.76416 - 4.70217i) q^{8} +(1.34336 + 2.68242i) q^{9} +O(q^{10})\) \(q+(-1.02455 + 2.61051i) q^{2} +(1.47366 + 0.910122i) q^{3} +(-4.29896 - 3.98885i) q^{4} +(1.33021 - 0.640594i) q^{5} +(-3.88572 + 2.91454i) q^{6} +(0.948892 - 2.46974i) q^{7} +(9.76416 - 4.70217i) q^{8} +(1.34336 + 2.68242i) q^{9} +(0.309414 + 4.12884i) q^{10} +(2.77950 + 3.48539i) q^{11} +(-2.70487 - 9.79080i) q^{12} +(1.57920 - 4.02375i) q^{13} +(5.47509 + 5.00746i) q^{14} +(2.54330 + 0.266633i) q^{15} +(1.39469 + 18.6109i) q^{16} +(-1.37534 + 1.27613i) q^{17} +(-8.37883 + 0.758567i) q^{18} +(-0.601339 + 1.04155i) q^{19} +(-8.27375 - 2.55211i) q^{20} +(3.64611 - 2.77595i) q^{21} +(-11.9464 + 3.68497i) q^{22} +(1.20924 - 5.29801i) q^{23} +(18.6686 + 1.95717i) q^{24} +(-1.75836 + 2.20491i) q^{25} +(8.88606 + 8.24506i) q^{26} +(-0.461682 + 5.17560i) q^{27} +(-13.9307 + 6.83232i) q^{28} +(1.85137 + 0.571071i) q^{29} +(-3.30178 + 6.36612i) q^{30} +(-0.861777 + 1.49264i) q^{31} +(-29.3011 - 9.03818i) q^{32} +(0.923919 + 7.66597i) q^{33} +(-1.92225 - 4.89781i) q^{34} +(-0.319877 - 3.89312i) q^{35} +(4.92476 - 16.8901i) q^{36} +(4.63633 + 1.43012i) q^{37} +(-2.10287 - 2.63692i) q^{38} +(5.98931 - 4.49237i) q^{39} +(9.97618 - 12.5097i) q^{40} +(0.243537 + 0.166041i) q^{41} +(3.51103 + 12.3623i) q^{42} +(3.85182 - 2.62612i) q^{43} +(1.95372 - 26.0706i) q^{44} +(3.50529 + 2.70764i) q^{45} +(12.5916 + 8.58481i) q^{46} +(1.75082 - 4.46101i) q^{47} +(-14.8829 + 28.6955i) q^{48} +(-5.19921 - 4.68703i) q^{49} +(-3.95442 - 6.84925i) q^{50} +(-3.18823 + 0.628857i) q^{51} +(-22.8391 + 10.9987i) q^{52} +(0.863083 - 0.266226i) q^{53} +(-13.0379 - 6.50789i) q^{54} +(5.93004 + 2.85576i) q^{55} +(-2.34800 - 28.5768i) q^{56} +(-1.83411 + 0.987599i) q^{57} +(-3.38760 + 4.24792i) q^{58} +(-8.97712 + 6.12049i) q^{59} +(-9.86997 - 11.2911i) q^{60} +(-6.96756 + 6.46495i) q^{61} +(-3.01362 - 3.77896i) q^{62} +(7.89958 - 0.772407i) q^{63} +(30.3422 - 38.0479i) q^{64} +(-0.476920 - 6.36405i) q^{65} +(-20.9587 - 5.44227i) q^{66} +(-0.615418 + 1.06594i) q^{67} +11.0029 q^{68} +(6.60384 - 6.70692i) q^{69} +(10.4908 + 3.15365i) q^{70} +(-0.485950 + 2.12908i) q^{71} +(25.7299 + 19.8749i) q^{72} +(-11.5578 - 1.74206i) q^{73} +(-8.48350 + 10.6380i) q^{74} +(-4.59796 + 1.64897i) q^{75} +(6.73972 - 2.07893i) q^{76} +(11.2454 - 3.55739i) q^{77} +(5.59104 + 20.2378i) q^{78} +(-6.42412 - 11.1269i) q^{79} +(13.7773 + 23.8629i) q^{80} +(-5.39079 + 7.20690i) q^{81} +(-0.682967 + 0.465639i) q^{82} +(3.22184 + 8.20912i) q^{83} +(-26.7473 - 2.61009i) q^{84} +(-1.01201 + 2.57856i) q^{85} +(2.90915 + 12.7458i) q^{86} +(2.20854 + 2.52653i) q^{87} +(43.5284 + 20.9622i) q^{88} +(1.90422 + 4.85186i) q^{89} +(-10.6597 + 6.37649i) q^{90} +(-8.43911 - 7.71832i) q^{91} +(-26.3315 + 17.9525i) q^{92} +(-2.62845 + 1.41533i) q^{93} +(9.85172 + 9.14106i) q^{94} +(-0.132695 + 1.77069i) q^{95} +(-34.9540 - 39.9868i) q^{96} +(4.61725 - 7.99730i) q^{97} +(17.5624 - 8.77050i) q^{98} +(-5.61542 + 12.1379i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} + O(q^{10}) \) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.02455 + 2.61051i −0.724466 + 1.84591i −0.241073 + 0.970507i \(0.577499\pi\)
−0.483393 + 0.875403i \(0.660596\pi\)
\(3\) 1.47366 + 0.910122i 0.850819 + 0.525459i
\(4\) −4.29896 3.98885i −2.14948 1.99443i
\(5\) 1.33021 0.640594i 0.594887 0.286483i −0.112114 0.993695i \(-0.535762\pi\)
0.707001 + 0.707213i \(0.250048\pi\)
\(6\) −3.88572 + 2.91454i −1.58634 + 1.18986i
\(7\) 0.948892 2.46974i 0.358647 0.933473i
\(8\) 9.76416 4.70217i 3.45215 1.66247i
\(9\) 1.34336 + 2.68242i 0.447785 + 0.894141i
\(10\) 0.309414 + 4.12884i 0.0978453 + 1.30566i
\(11\) 2.77950 + 3.48539i 0.838052 + 1.05088i 0.997966 + 0.0637528i \(0.0203069\pi\)
−0.159914 + 0.987131i \(0.551122\pi\)
\(12\) −2.70487 9.79080i −0.780829 2.82636i
\(13\) 1.57920 4.02375i 0.437992 1.11599i −0.526101 0.850422i \(-0.676346\pi\)
0.964093 0.265564i \(-0.0855583\pi\)
\(14\) 5.47509 + 5.00746i 1.46328 + 1.33830i
\(15\) 2.54330 + 0.266633i 0.656676 + 0.0688442i
\(16\) 1.39469 + 18.6109i 0.348674 + 4.65273i
\(17\) −1.37534 + 1.27613i −0.333570 + 0.309508i −0.829119 0.559072i \(-0.811157\pi\)
0.495549 + 0.868580i \(0.334967\pi\)
\(18\) −8.37883 + 0.758567i −1.97491 + 0.178796i
\(19\) −0.601339 + 1.04155i −0.137957 + 0.238948i −0.926723 0.375745i \(-0.877387\pi\)
0.788766 + 0.614693i \(0.210720\pi\)
\(20\) −8.27375 2.55211i −1.85007 0.570670i
\(21\) 3.64611 2.77595i 0.795646 0.605762i
\(22\) −11.9464 + 3.68497i −2.54698 + 0.785638i
\(23\) 1.20924 5.29801i 0.252143 1.10471i −0.677288 0.735718i \(-0.736845\pi\)
0.929432 0.368994i \(-0.120298\pi\)
\(24\) 18.6686 + 1.95717i 3.81071 + 0.399505i
\(25\) −1.75836 + 2.20491i −0.351671 + 0.440982i
\(26\) 8.88606 + 8.24506i 1.74270 + 1.61699i
\(27\) −0.461682 + 5.17560i −0.0888507 + 0.996045i
\(28\) −13.9307 + 6.83232i −2.63265 + 1.29119i
\(29\) 1.85137 + 0.571071i 0.343790 + 0.106045i 0.461842 0.886962i \(-0.347189\pi\)
−0.118052 + 0.993007i \(0.537665\pi\)
\(30\) −3.30178 + 6.36612i −0.602820 + 1.16229i
\(31\) −0.861777 + 1.49264i −0.154780 + 0.268086i −0.932979 0.359931i \(-0.882800\pi\)
0.778199 + 0.628018i \(0.216133\pi\)
\(32\) −29.3011 9.03818i −5.17975 1.59774i
\(33\) 0.923919 + 7.66597i 0.160834 + 1.33447i
\(34\) −1.92225 4.89781i −0.329663 0.839968i
\(35\) −0.319877 3.89312i −0.0540691 0.658057i
\(36\) 4.92476 16.8901i 0.820794 2.81501i
\(37\) 4.63633 + 1.43012i 0.762208 + 0.235110i 0.651403 0.758732i \(-0.274181\pi\)
0.110805 + 0.993842i \(0.464657\pi\)
\(38\) −2.10287 2.63692i −0.341131 0.427765i
\(39\) 5.98931 4.49237i 0.959058 0.719355i
\(40\) 9.97618 12.5097i 1.57737 1.97796i
\(41\) 0.243537 + 0.166041i 0.0380341 + 0.0259312i 0.582188 0.813054i \(-0.302197\pi\)
−0.544154 + 0.838986i \(0.683149\pi\)
\(42\) 3.51103 + 12.3623i 0.541763 + 1.90755i
\(43\) 3.85182 2.62612i 0.587396 0.400480i −0.232831 0.972517i \(-0.574799\pi\)
0.820228 + 0.572037i \(0.193847\pi\)
\(44\) 1.95372 26.0706i 0.294534 3.93029i
\(45\) 3.50529 + 2.70764i 0.522538 + 0.403630i
\(46\) 12.5916 + 8.58481i 1.85653 + 1.26576i
\(47\) 1.75082 4.46101i 0.255383 0.650705i −0.744473 0.667652i \(-0.767299\pi\)
0.999856 + 0.0169468i \(0.00539460\pi\)
\(48\) −14.8829 + 28.6955i −2.14816 + 4.14184i
\(49\) −5.19921 4.68703i −0.742744 0.669575i
\(50\) −3.95442 6.84925i −0.559239 0.968630i
\(51\) −3.18823 + 0.628857i −0.446441 + 0.0880576i
\(52\) −22.8391 + 10.9987i −3.16721 + 1.52525i
\(53\) 0.863083 0.266226i 0.118554 0.0365689i −0.234911 0.972017i \(-0.575480\pi\)
0.353464 + 0.935448i \(0.385004\pi\)
\(54\) −13.0379 6.50789i −1.77424 0.885611i
\(55\) 5.93004 + 2.85576i 0.799606 + 0.385070i
\(56\) −2.34800 28.5768i −0.313765 3.81873i
\(57\) −1.83411 + 0.987599i −0.242933 + 0.130811i
\(58\) −3.38760 + 4.24792i −0.444814 + 0.557779i
\(59\) −8.97712 + 6.12049i −1.16872 + 0.796820i −0.982605 0.185707i \(-0.940542\pi\)
−0.186116 + 0.982528i \(0.559590\pi\)
\(60\) −9.86997 11.2911i −1.27421 1.45767i
\(61\) −6.96756 + 6.46495i −0.892105 + 0.827752i −0.985813 0.167848i \(-0.946318\pi\)
0.0937084 + 0.995600i \(0.470128\pi\)
\(62\) −3.01362 3.77896i −0.382731 0.479929i
\(63\) 7.89958 0.772407i 0.995254 0.0973141i
\(64\) 30.3422 38.0479i 3.79277 4.75599i
\(65\) −0.476920 6.36405i −0.0591546 0.789363i
\(66\) −20.9587 5.44227i −2.57984 0.669897i
\(67\) −0.615418 + 1.06594i −0.0751853 + 0.130225i −0.901167 0.433472i \(-0.857288\pi\)
0.825982 + 0.563697i \(0.190622\pi\)
\(68\) 11.0029 1.33429
\(69\) 6.60384 6.70692i 0.795009 0.807419i
\(70\) 10.4908 + 3.15365i 1.25389 + 0.376934i
\(71\) −0.485950 + 2.12908i −0.0576716 + 0.252676i −0.995543 0.0943067i \(-0.969937\pi\)
0.937872 + 0.346983i \(0.112794\pi\)
\(72\) 25.7299 + 19.8749i 3.03230 + 2.34228i
\(73\) −11.5578 1.74206i −1.35274 0.203893i −0.567648 0.823272i \(-0.692146\pi\)
−0.785092 + 0.619379i \(0.787384\pi\)
\(74\) −8.48350 + 10.6380i −0.986186 + 1.23664i
\(75\) −4.59796 + 1.64897i −0.530927 + 0.190407i
\(76\) 6.73972 2.07893i 0.773099 0.238469i
\(77\) 11.2454 3.55739i 1.28154 0.405402i
\(78\) 5.59104 + 20.2378i 0.633060 + 2.29148i
\(79\) −6.42412 11.1269i −0.722770 1.25187i −0.959885 0.280392i \(-0.909535\pi\)
0.237116 0.971481i \(-0.423798\pi\)
\(80\) 13.7773 + 23.8629i 1.54035 + 2.66796i
\(81\) −5.39079 + 7.20690i −0.598977 + 0.800766i
\(82\) −0.682967 + 0.465639i −0.0754211 + 0.0514213i
\(83\) 3.22184 + 8.20912i 0.353643 + 0.901068i 0.991404 + 0.130834i \(0.0417654\pi\)
−0.637761 + 0.770234i \(0.720139\pi\)
\(84\) −26.7473 2.61009i −2.91837 0.284784i
\(85\) −1.01201 + 2.57856i −0.109768 + 0.279684i
\(86\) 2.90915 + 12.7458i 0.313701 + 1.37442i
\(87\) 2.20854 + 2.52653i 0.236780 + 0.270873i
\(88\) 43.5284 + 20.9622i 4.64014 + 2.23457i
\(89\) 1.90422 + 4.85186i 0.201846 + 0.514296i 0.995574 0.0939766i \(-0.0299579\pi\)
−0.793728 + 0.608273i \(0.791863\pi\)
\(90\) −10.6597 + 6.37649i −1.12363 + 0.672141i
\(91\) −8.43911 7.71832i −0.884659 0.809100i
\(92\) −26.3315 + 17.9525i −2.74525 + 1.87168i
\(93\) −2.62845 + 1.41533i −0.272558 + 0.146762i
\(94\) 9.85172 + 9.14106i 1.01613 + 0.942828i
\(95\) −0.132695 + 1.77069i −0.0136142 + 0.181669i
\(96\) −34.9540 39.9868i −3.56748 4.08113i
\(97\) 4.61725 7.99730i 0.468810 0.812003i −0.530554 0.847651i \(-0.678016\pi\)
0.999364 + 0.0356478i \(0.0113495\pi\)
\(98\) 17.5624 8.77050i 1.77407 0.885954i
\(99\) −5.61542 + 12.1379i −0.564371 + 1.21991i
\(100\) 16.3542 2.46499i 1.63542 0.246499i
\(101\) 6.01298 2.89570i 0.598314 0.288133i −0.110111 0.993919i \(-0.535121\pi\)
0.708424 + 0.705787i \(0.249406\pi\)
\(102\) 1.62486 8.96720i 0.160885 0.887885i
\(103\) −7.65809 + 3.68794i −0.754574 + 0.363384i −0.771296 0.636476i \(-0.780391\pi\)
0.0167219 + 0.999860i \(0.494677\pi\)
\(104\) −3.50074 46.7142i −0.343276 4.58070i
\(105\) 3.07182 6.02827i 0.299779 0.588299i
\(106\) −0.189286 + 2.52585i −0.0183851 + 0.245332i
\(107\) −0.729319 1.85827i −0.0705059 0.179646i 0.891277 0.453459i \(-0.149810\pi\)
−0.961783 + 0.273813i \(0.911715\pi\)
\(108\) 22.6295 20.4081i 2.17752 1.96377i
\(109\) −0.860275 + 2.19194i −0.0823994 + 0.209950i −0.966135 0.258035i \(-0.916925\pi\)
0.883736 + 0.467986i \(0.155020\pi\)
\(110\) −13.5306 + 12.5546i −1.29009 + 1.19703i
\(111\) 5.53080 + 6.32714i 0.524960 + 0.600545i
\(112\) 47.2875 + 14.2152i 4.46825 + 1.34321i
\(113\) 7.59785 + 1.14519i 0.714745 + 0.107731i 0.496341 0.868128i \(-0.334677\pi\)
0.218405 + 0.975858i \(0.429915\pi\)
\(114\) −0.699005 5.79980i −0.0654678 0.543201i
\(115\) −1.78534 7.82209i −0.166484 0.729414i
\(116\) −5.68103 9.83984i −0.527471 0.913606i
\(117\) 12.9148 1.16923i 1.19398 0.108095i
\(118\) −6.78011 29.7056i −0.624160 2.73462i
\(119\) 1.84666 + 4.60765i 0.169283 + 0.422383i
\(120\) 26.0869 9.35557i 2.38140 0.854043i
\(121\) −1.97455 + 8.65108i −0.179505 + 0.786462i
\(122\) −9.73821 24.8126i −0.881656 2.24642i
\(123\) 0.207774 + 0.466336i 0.0187343 + 0.0420481i
\(124\) 9.65868 2.97931i 0.867375 0.267550i
\(125\) −2.56920 + 11.2564i −0.229796 + 1.00680i
\(126\) −6.07714 + 21.4133i −0.541395 + 1.90765i
\(127\) −1.14679 5.02442i −0.101761 0.445846i −0.999980 0.00629700i \(-0.997996\pi\)
0.898219 0.439549i \(-0.144862\pi\)
\(128\) 37.5740 + 65.0801i 3.32111 + 5.75233i
\(129\) 8.06636 0.364394i 0.710204 0.0320831i
\(130\) 17.1021 + 5.27529i 1.49995 + 0.462673i
\(131\) 4.60094 + 2.21570i 0.401986 + 0.193586i 0.623943 0.781470i \(-0.285530\pi\)
−0.221956 + 0.975057i \(0.571244\pi\)
\(132\) 26.6065 36.6411i 2.31580 3.18920i
\(133\) 2.00175 + 2.47347i 0.173574 + 0.214477i
\(134\) −2.15211 2.69866i −0.185914 0.233129i
\(135\) 2.70133 + 7.18038i 0.232493 + 0.617989i
\(136\) −7.42848 + 18.9275i −0.636987 + 1.62302i
\(137\) −6.33016 3.04844i −0.540822 0.260446i 0.143470 0.989655i \(-0.454174\pi\)
−0.684291 + 0.729209i \(0.739888\pi\)
\(138\) 10.7425 + 24.1110i 0.914465 + 2.05246i
\(139\) −14.5230 9.90161i −1.23182 0.839844i −0.240419 0.970669i \(-0.577285\pi\)
−0.991405 + 0.130825i \(0.958237\pi\)
\(140\) −14.1539 + 18.0123i −1.19623 + 1.52232i
\(141\) 6.64018 4.98056i 0.559204 0.419439i
\(142\) −5.06012 3.44993i −0.424636 0.289512i
\(143\) 18.4137 5.67988i 1.53983 0.474975i
\(144\) −48.0488 + 28.7422i −4.00406 + 2.39519i
\(145\) 2.82853 0.426332i 0.234896 0.0354049i
\(146\) 16.3892 28.3870i 1.35638 2.34932i
\(147\) −3.39611 11.6390i −0.280106 0.959969i
\(148\) −14.2269 24.6417i −1.16944 2.02553i
\(149\) 0.743843 + 0.932749i 0.0609380 + 0.0764138i 0.811366 0.584538i \(-0.198724\pi\)
−0.750428 + 0.660952i \(0.770153\pi\)
\(150\) 0.406183 13.6925i 0.0331647 1.11799i
\(151\) 3.32176 14.5536i 0.270321 1.18435i −0.639314 0.768945i \(-0.720782\pi\)
0.909635 0.415408i \(-0.136361\pi\)
\(152\) −0.974024 + 12.9975i −0.0790038 + 1.05423i
\(153\) −5.27071 1.97496i −0.426111 0.159666i
\(154\) −2.23491 + 33.0011i −0.180094 + 2.65930i
\(155\) −0.190165 + 2.53757i −0.0152744 + 0.203823i
\(156\) −43.6672 4.57796i −3.49618 0.366530i
\(157\) 8.34076 5.68663i 0.665665 0.453843i −0.182761 0.983157i \(-0.558503\pi\)
0.848425 + 0.529315i \(0.177551\pi\)
\(158\) 35.6287 5.37017i 2.83447 0.427227i
\(159\) 1.51419 + 0.393184i 0.120083 + 0.0311815i
\(160\) −44.7663 + 6.74744i −3.53909 + 0.533432i
\(161\) −11.9373 8.01374i −0.940789 0.631571i
\(162\) −13.2905 21.4566i −1.04420 1.68579i
\(163\) −4.90777 + 3.34606i −0.384406 + 0.262084i −0.740069 0.672531i \(-0.765207\pi\)
0.355663 + 0.934614i \(0.384255\pi\)
\(164\) −0.384644 1.68524i −0.0300357 0.131595i
\(165\) 6.13978 + 9.60548i 0.477981 + 0.747785i
\(166\) −24.7309 −1.91949
\(167\) 0.802801 0.744890i 0.0621226 0.0576413i −0.648501 0.761214i \(-0.724604\pi\)
0.710623 + 0.703573i \(0.248413\pi\)
\(168\) 22.5482 44.2494i 1.73963 3.41392i
\(169\) −4.16698 3.86639i −0.320537 0.297415i
\(170\) −5.69451 5.28373i −0.436749 0.405244i
\(171\) −3.60169 0.213874i −0.275428 0.0163554i
\(172\) −27.0340 4.07472i −2.06133 0.310695i
\(173\) −15.2468 + 4.70301i −1.15919 + 0.357563i −0.813941 0.580947i \(-0.802682\pi\)
−0.345250 + 0.938511i \(0.612206\pi\)
\(174\) −8.85830 + 3.17686i −0.671546 + 0.240837i
\(175\) 3.77706 + 6.43490i 0.285519 + 0.486433i
\(176\) −60.9896 + 56.5901i −4.59727 + 4.26564i
\(177\) −18.7996 + 0.849264i −1.41307 + 0.0638346i
\(178\) −14.6168 −1.09558
\(179\) 1.65103 1.53193i 0.123404 0.114502i −0.616057 0.787701i \(-0.711271\pi\)
0.739461 + 0.673200i \(0.235081\pi\)
\(180\) −4.26874 25.6221i −0.318173 1.90976i
\(181\) −2.35709 + 2.95569i −0.175201 + 0.219695i −0.861677 0.507458i \(-0.830585\pi\)
0.686476 + 0.727153i \(0.259157\pi\)
\(182\) 28.7951 14.1226i 2.13443 1.04683i
\(183\) −16.1517 + 3.18582i −1.19397 + 0.235502i
\(184\) −13.1050 57.4167i −0.966112 4.23281i
\(185\) 7.08341 1.06765i 0.520783 0.0784954i
\(186\) −1.00174 8.31168i −0.0734513 0.609442i
\(187\) −8.27059 1.24659i −0.604806 0.0911598i
\(188\) −25.3210 + 12.1940i −1.84673 + 0.889336i
\(189\) 12.3443 + 6.05132i 0.897915 + 0.440169i
\(190\) −4.48646 2.16056i −0.325482 0.156744i
\(191\) −15.3943 10.4957i −1.11389 0.759440i −0.140844 0.990032i \(-0.544982\pi\)
−0.973051 + 0.230591i \(0.925934\pi\)
\(192\) 79.3424 28.4546i 5.72604 2.05354i
\(193\) −1.91527 + 25.5574i −0.137864 + 1.83967i 0.316196 + 0.948694i \(0.397594\pi\)
−0.454060 + 0.890971i \(0.650025\pi\)
\(194\) 16.1465 + 20.2470i 1.15925 + 1.45365i
\(195\) 5.08925 9.81251i 0.364448 0.702689i
\(196\) 3.65534 + 40.8882i 0.261096 + 2.92059i
\(197\) 2.17850 0.155211 0.0776057 0.996984i \(-0.475272\pi\)
0.0776057 + 0.996984i \(0.475272\pi\)
\(198\) −25.9329 27.0950i −1.84297 1.92556i
\(199\) −7.28366 4.96592i −0.516325 0.352024i 0.276954 0.960883i \(-0.410675\pi\)
−0.793279 + 0.608859i \(0.791628\pi\)
\(200\) −6.80101 + 29.7972i −0.480904 + 2.10698i
\(201\) −1.87705 + 1.01072i −0.132397 + 0.0712909i
\(202\) 1.39865 + 18.6637i 0.0984089 + 1.31318i
\(203\) 3.16714 4.03050i 0.222290 0.282886i
\(204\) 16.2145 + 10.0139i 1.13524 + 0.701117i
\(205\) 0.430320 + 0.0648603i 0.0300548 + 0.00453004i
\(206\) −1.78132 23.7700i −0.124110 1.65614i
\(207\) 15.8360 3.87343i 1.10067 0.269222i
\(208\) 77.0881 + 23.7785i 5.34510 + 1.64874i
\(209\) −5.30163 + 0.799092i −0.366721 + 0.0552743i
\(210\) 12.5896 + 14.1953i 0.868767 + 0.979568i
\(211\) 22.3732 + 3.37221i 1.54023 + 0.232153i 0.863604 0.504172i \(-0.168202\pi\)
0.676629 + 0.736324i \(0.263440\pi\)
\(212\) −4.77230 2.29822i −0.327763 0.157842i
\(213\) −2.65385 + 2.69528i −0.181839 + 0.184677i
\(214\) 5.59827 0.382690
\(215\) 3.44144 5.96074i 0.234704 0.406519i
\(216\) 19.8286 + 52.7063i 1.34917 + 3.58621i
\(217\) 2.86870 + 3.54472i 0.194740 + 0.240631i
\(218\) −4.84070 4.49151i −0.327854 0.304204i
\(219\) −15.4468 13.0862i −1.04380 0.884285i
\(220\) −14.1018 35.9308i −0.950744 2.42246i
\(221\) 2.96289 + 7.54931i 0.199305 + 0.507822i
\(222\) −22.1836 + 7.95574i −1.48887 + 0.533955i
\(223\) −17.1485 15.9115i −1.14835 1.06551i −0.997029 0.0770268i \(-0.975457\pi\)
−0.151319 0.988485i \(-0.548352\pi\)
\(224\) −50.1255 + 63.7897i −3.34915 + 4.26213i
\(225\) −8.27660 1.75468i −0.551773 0.116979i
\(226\) −10.7739 + 18.6610i −0.716670 + 1.24131i
\(227\) 18.4966 1.22767 0.613833 0.789436i \(-0.289627\pi\)
0.613833 + 0.789436i \(0.289627\pi\)
\(228\) 11.8241 + 3.07033i 0.783073 + 0.203338i
\(229\) −9.74361 4.69227i −0.643876 0.310074i 0.0833012 0.996524i \(-0.473454\pi\)
−0.727177 + 0.686450i \(0.759168\pi\)
\(230\) 22.2488 + 3.35347i 1.46704 + 0.221121i
\(231\) 19.8096 + 4.99233i 1.30338 + 0.328472i
\(232\) 20.7623 3.12941i 1.36311 0.205456i
\(233\) −1.56044 0.481331i −0.102228 0.0315330i 0.243219 0.969971i \(-0.421796\pi\)
−0.345447 + 0.938438i \(0.612273\pi\)
\(234\) −10.1796 + 34.9122i −0.665462 + 2.28228i
\(235\) −0.528747 7.05564i −0.0344916 0.460259i
\(236\) 63.0060 + 9.49663i 4.10134 + 0.618178i
\(237\) 0.659862 22.2440i 0.0428626 1.44490i
\(238\) −13.9203 + 0.0999597i −0.902321 + 0.00647943i
\(239\) 1.33616 + 17.8298i 0.0864289 + 1.15331i 0.856776 + 0.515689i \(0.172464\pi\)
−0.770347 + 0.637625i \(0.779917\pi\)
\(240\) −1.41515 + 47.7049i −0.0913476 + 3.07934i
\(241\) 5.83624 25.5702i 0.375945 1.64712i −0.333785 0.942649i \(-0.608326\pi\)
0.709730 0.704473i \(-0.248817\pi\)
\(242\) −20.5607 14.0181i −1.32169 0.901115i
\(243\) −14.5034 + 5.71425i −0.930391 + 0.366569i
\(244\) 55.7410 3.56845
\(245\) −9.91851 2.90414i −0.633671 0.185538i
\(246\) −1.43025 + 0.0646109i −0.0911895 + 0.00411944i
\(247\) 3.24129 + 4.06445i 0.206239 + 0.258615i
\(248\) −1.39587 + 18.6266i −0.0886379 + 1.18279i
\(249\) −2.72340 + 15.0297i −0.172588 + 0.952470i
\(250\) −26.7527 18.2397i −1.69199 1.15358i
\(251\) −20.8308 10.0316i −1.31483 0.633187i −0.360725 0.932672i \(-0.617471\pi\)
−0.954101 + 0.299485i \(0.903185\pi\)
\(252\) −37.0410 28.1897i −2.33337 1.77579i
\(253\) 21.8267 10.5112i 1.37223 0.660833i
\(254\) 14.2913 + 2.15406i 0.896714 + 0.135158i
\(255\) −3.83817 + 2.87887i −0.240355 + 0.180282i
\(256\) −112.146 + 16.9033i −7.00912 + 1.05645i
\(257\) −3.31287 14.5146i −0.206651 0.905398i −0.966777 0.255622i \(-0.917720\pi\)
0.760126 0.649776i \(-0.225137\pi\)
\(258\) −7.31314 + 21.4307i −0.455296 + 1.33422i
\(259\) 7.93140 10.0935i 0.492833 0.627179i
\(260\) −23.3350 + 29.2612i −1.44718 + 1.81470i
\(261\) 0.955189 + 5.73330i 0.0591247 + 0.354882i
\(262\) −10.4980 + 9.74072i −0.648569 + 0.601784i
\(263\) −5.37324 −0.331328 −0.165664 0.986182i \(-0.552977\pi\)
−0.165664 + 0.986182i \(0.552977\pi\)
\(264\) 45.0680 + 70.5073i 2.77374 + 4.33942i
\(265\) 0.977537 0.907022i 0.0600496 0.0557179i
\(266\) −8.50790 + 2.69140i −0.521653 + 0.165020i
\(267\) −1.60962 + 8.88307i −0.0985070 + 0.543635i
\(268\) 6.89752 2.12760i 0.421333 0.129964i
\(269\) 4.99427 + 0.752765i 0.304506 + 0.0458969i 0.299518 0.954091i \(-0.403174\pi\)
0.00498813 + 0.999988i \(0.498412\pi\)
\(270\) −21.5121 0.304808i −1.30919 0.0185500i
\(271\) −22.7675 21.1252i −1.38303 1.28326i −0.917223 0.398374i \(-0.869574\pi\)
−0.465805 0.884888i \(-0.654235\pi\)
\(272\) −25.6682 23.8166i −1.55636 1.44409i
\(273\) −5.41177 19.0548i −0.327535 1.15325i
\(274\) 14.4436 13.4017i 0.872567 0.809624i
\(275\) −12.5723 −0.758139
\(276\) −55.1426 + 2.49104i −3.31920 + 0.149943i
\(277\) 0.184899 + 0.810096i 0.0111095 + 0.0486739i 0.980179 0.198115i \(-0.0634818\pi\)
−0.969069 + 0.246789i \(0.920625\pi\)
\(278\) 40.7278 27.7677i 2.44269 1.66540i
\(279\) −5.16157 0.306503i −0.309015 0.0183498i
\(280\) −21.4294 36.5089i −1.28065 2.18183i
\(281\) 25.5976 3.85821i 1.52702 0.230162i 0.668801 0.743442i \(-0.266808\pi\)
0.858221 + 0.513280i \(0.171570\pi\)
\(282\) 6.19862 + 22.4371i 0.369122 + 1.33611i
\(283\) 23.3185 3.51470i 1.38614 0.208927i 0.586765 0.809757i \(-0.300401\pi\)
0.799377 + 0.600830i \(0.205163\pi\)
\(284\) 10.5817 7.21447i 0.627908 0.428100i
\(285\) −1.80709 + 2.48863i −0.107043 + 0.147414i
\(286\) −4.03839 + 53.8885i −0.238795 + 3.18650i
\(287\) 0.641168 0.443918i 0.0378469 0.0262037i
\(288\) −15.1175 90.7394i −0.890808 5.34687i
\(289\) −1.00736 + 13.4422i −0.0592562 + 0.790719i
\(290\) −1.78502 + 7.82070i −0.104820 + 0.459247i
\(291\) 14.0828 7.58306i 0.825547 0.444527i
\(292\) 42.7378 + 53.5915i 2.50104 + 3.13620i
\(293\) 0.685757 + 1.18777i 0.0400624 + 0.0693901i 0.885361 0.464904i \(-0.153911\pi\)
−0.845299 + 0.534294i \(0.820578\pi\)
\(294\) 33.8632 + 3.05917i 1.97494 + 0.178414i
\(295\) −8.02068 + 13.8922i −0.466982 + 0.808836i
\(296\) 51.9945 7.83692i 3.02212 0.455511i
\(297\) −19.3222 + 12.7765i −1.12119 + 0.741366i
\(298\) −3.19706 + 0.986161i −0.185200 + 0.0571268i
\(299\) −19.4082 13.2323i −1.12241 0.765244i
\(300\) 26.3440 + 11.2517i 1.52097 + 0.649619i
\(301\) −2.83088 12.0049i −0.163169 0.691950i
\(302\) 34.5890 + 23.5824i 1.99037 + 1.35701i
\(303\) 11.4965 + 1.20527i 0.660458 + 0.0692407i
\(304\) −20.2229 9.73882i −1.15986 0.558559i
\(305\) −5.12689 + 13.0631i −0.293565 + 0.747992i
\(306\) 10.5557 11.7358i 0.603432 0.670891i
\(307\) −4.09438 5.13419i −0.233679 0.293024i 0.651142 0.758956i \(-0.274290\pi\)
−0.884820 + 0.465932i \(0.845719\pi\)
\(308\) −62.5336 29.5633i −3.56318 1.68453i
\(309\) −14.6419 1.53502i −0.832949 0.0873243i
\(310\) −6.42953 3.09630i −0.365173 0.175858i
\(311\) −32.6740 10.0786i −1.85278 0.571505i −0.998679 0.0513910i \(-0.983635\pi\)
−0.854097 0.520114i \(-0.825889\pi\)
\(312\) 37.3567 72.0270i 2.11491 4.07773i
\(313\) 3.40095 + 5.89061i 0.192233 + 0.332957i 0.945990 0.324196i \(-0.105094\pi\)
−0.753757 + 0.657153i \(0.771760\pi\)
\(314\) 6.29949 + 27.5999i 0.355501 + 1.55755i
\(315\) 10.0133 6.08789i 0.564185 0.343014i
\(316\) −16.7665 + 73.4590i −0.943191 + 4.13239i
\(317\) −11.3245 + 3.49315i −0.636048 + 0.196195i −0.595976 0.803002i \(-0.703235\pi\)
−0.0400717 + 0.999197i \(0.512759\pi\)
\(318\) −2.57778 + 3.54997i −0.144554 + 0.199073i
\(319\) 3.15547 + 8.04002i 0.176673 + 0.450155i
\(320\) 15.9882 70.0487i 0.893765 3.91584i
\(321\) 0.616487 3.40224i 0.0344090 0.189894i
\(322\) 33.1503 22.9519i 1.84739 1.27906i
\(323\) −0.502108 2.19988i −0.0279380 0.122404i
\(324\) 51.9221 9.47910i 2.88456 0.526616i
\(325\) 6.09519 + 10.5572i 0.338100 + 0.585607i
\(326\) −3.70667 16.2400i −0.205294 0.899450i
\(327\) −3.26269 + 2.44723i −0.180427 + 0.135332i
\(328\) 3.15869 + 0.476095i 0.174409 + 0.0262880i
\(329\) −9.35619 8.55708i −0.515824 0.471767i
\(330\) −31.3657 + 6.18668i −1.72663 + 0.340565i
\(331\) 1.94355 1.80335i 0.106827 0.0991212i −0.624951 0.780664i \(-0.714881\pi\)
0.731778 + 0.681543i \(0.238691\pi\)
\(332\) 18.8944 48.1421i 1.03696 2.64214i
\(333\) 2.39206 + 14.3578i 0.131084 + 0.786801i
\(334\) 1.12203 + 2.85890i 0.0613950 + 0.156432i
\(335\) −0.135802 + 1.81215i −0.00741965 + 0.0990084i
\(336\) 56.7481 + 63.9858i 3.09587 + 3.49071i
\(337\) 0.584382 + 7.79803i 0.0318333 + 0.424786i 0.990239 + 0.139378i \(0.0445101\pi\)
−0.958406 + 0.285408i \(0.907871\pi\)
\(338\) 14.3625 6.91664i 0.781219 0.376215i
\(339\) 10.1544 + 8.60259i 0.551511 + 0.467229i
\(340\) 14.6361 7.04837i 0.793754 0.382252i
\(341\) −7.59775 + 1.14518i −0.411441 + 0.0620147i
\(342\) 4.24843 9.18312i 0.229729 0.496566i
\(343\) −16.5092 + 8.39320i −0.891414 + 0.453190i
\(344\) 25.2613 43.7538i 1.36200 2.35905i
\(345\) 4.48807 13.1520i 0.241630 0.708079i
\(346\) 3.34383 44.6204i 0.179766 2.39881i
\(347\) −11.5537 10.7203i −0.620235 0.575494i 0.306192 0.951970i \(-0.400945\pi\)
−0.926426 + 0.376476i \(0.877136\pi\)
\(348\) 0.583535 19.6710i 0.0312808 1.05448i
\(349\) 0.104481 0.0712342i 0.00559276 0.00381308i −0.560520 0.828141i \(-0.689399\pi\)
0.566113 + 0.824328i \(0.308446\pi\)
\(350\) −20.6682 + 3.26718i −1.10476 + 0.174638i
\(351\) 20.0962 + 10.0310i 1.07266 + 0.535416i
\(352\) −49.9409 127.247i −2.66186 6.78230i
\(353\) 33.0303 + 15.9066i 1.75803 + 0.846621i 0.974215 + 0.225622i \(0.0724414\pi\)
0.783811 + 0.620999i \(0.213273\pi\)
\(354\) 17.0441 49.9467i 0.905886 2.65464i
\(355\) 0.717466 + 3.14342i 0.0380791 + 0.166836i
\(356\) 11.1672 28.4536i 0.591861 1.50804i
\(357\) −1.47217 + 8.47081i −0.0779156 + 0.448323i
\(358\) 2.30756 + 5.87957i 0.121958 + 0.310745i
\(359\) 10.4207 7.10469i 0.549982 0.374971i −0.256214 0.966620i \(-0.582475\pi\)
0.806196 + 0.591649i \(0.201523\pi\)
\(360\) 46.9579 + 9.95532i 2.47490 + 0.524691i
\(361\) 8.77678 + 15.2018i 0.461936 + 0.800097i
\(362\) −5.30092 9.18146i −0.278610 0.482567i
\(363\) −10.7834 + 10.9517i −0.565980 + 0.574814i
\(364\) 5.49215 + 66.8431i 0.287867 + 3.50353i
\(365\) −16.4903 + 5.08657i −0.863139 + 0.266243i
\(366\) 8.23163 45.4283i 0.430274 2.37457i
\(367\) −1.57207 + 1.97131i −0.0820613 + 0.102902i −0.821167 0.570687i \(-0.806677\pi\)
0.739106 + 0.673589i \(0.235248\pi\)
\(368\) 100.287 + 15.1159i 5.22784 + 0.787970i
\(369\) −0.118235 + 0.876322i −0.00615506 + 0.0456195i
\(370\) −4.47019 + 19.5852i −0.232394 + 1.01819i
\(371\) 0.161464 2.38421i 0.00838280 0.123782i
\(372\) 16.9451 + 4.40008i 0.878565 + 0.228134i
\(373\) 10.6190 0.549831 0.274916 0.961468i \(-0.411350\pi\)
0.274916 + 0.961468i \(0.411350\pi\)
\(374\) 11.7279 20.3133i 0.606434 1.05037i
\(375\) −14.0308 + 14.2498i −0.724549 + 0.735858i
\(376\) −3.88117 51.7907i −0.200156 2.67090i
\(377\) 5.22153 6.54759i 0.268922 0.337218i
\(378\) −28.4444 + 26.0250i −1.46302 + 1.33858i
\(379\) −18.5087 23.2092i −0.950730 1.19218i −0.981269 0.192644i \(-0.938294\pi\)
0.0305388 0.999534i \(-0.490278\pi\)
\(380\) 7.63348 7.08284i 0.391589 0.363342i
\(381\) 2.88286 8.44802i 0.147693 0.432805i
\(382\) 43.1713 29.4337i 2.20884 1.50596i
\(383\) −19.1712 + 24.0399i −0.979603 + 1.22838i −0.00603617 + 0.999982i \(0.501921\pi\)
−0.973567 + 0.228402i \(0.926650\pi\)
\(384\) −3.85947 + 130.103i −0.196953 + 6.63929i
\(385\) 12.6799 11.9358i 0.646229 0.608307i
\(386\) −64.7557 31.1847i −3.29598 1.58726i
\(387\) 12.2187 + 6.80438i 0.621113 + 0.345886i
\(388\) −51.7494 + 15.9626i −2.62718 + 0.810378i
\(389\) 11.6825 5.62599i 0.592325 0.285249i −0.113610 0.993525i \(-0.536241\pi\)
0.705935 + 0.708277i \(0.250527\pi\)
\(390\) 20.4015 + 23.3389i 1.03307 + 1.18181i
\(391\) 5.09785 + 8.82974i 0.257809 + 0.446539i
\(392\) −72.8051 21.3173i −3.67721 1.07669i
\(393\) 4.76368 + 7.45261i 0.240296 + 0.375934i
\(394\) −2.23198 + 5.68699i −0.112445 + 0.286506i
\(395\) −15.6732 10.6858i −0.788606 0.537663i
\(396\) 72.5569 29.7814i 3.64612 1.49657i
\(397\) −2.43273 + 32.4626i −0.122095 + 1.62925i 0.514106 + 0.857727i \(0.328124\pi\)
−0.636201 + 0.771523i \(0.719495\pi\)
\(398\) 20.4261 13.9262i 1.02387 0.698060i
\(399\) 0.698743 + 5.46689i 0.0349809 + 0.273687i
\(400\) −43.4877 29.6494i −2.17439 1.48247i
\(401\) −3.94819 + 4.95087i −0.197163 + 0.247235i −0.870578 0.492030i \(-0.836255\pi\)
0.673415 + 0.739264i \(0.264827\pi\)
\(402\) −0.715371 5.93560i −0.0356795 0.296041i
\(403\) 4.64509 + 5.82476i 0.231388 + 0.290152i
\(404\) −37.4001 11.5364i −1.86072 0.573957i
\(405\) −2.55418 + 13.0400i −0.126918 + 0.647962i
\(406\) 7.27678 + 12.3973i 0.361140 + 0.615268i
\(407\) 7.90218 + 20.1344i 0.391697 + 0.998027i
\(408\) −28.1734 + 21.1319i −1.39479 + 1.04618i
\(409\) −4.01060 1.23711i −0.198312 0.0611710i 0.194008 0.981000i \(-0.437851\pi\)
−0.392320 + 0.919829i \(0.628327\pi\)
\(410\) −0.610203 + 1.05690i −0.0301358 + 0.0521967i
\(411\) −6.55405 10.2536i −0.323288 0.505772i
\(412\) 47.6325 + 14.6927i 2.34669 + 0.723857i
\(413\) 6.59770 + 27.9788i 0.324652 + 1.37675i
\(414\) −6.11309 + 45.3084i −0.300442 + 2.22679i
\(415\) 9.54444 + 8.85594i 0.468518 + 0.434721i
\(416\) −82.6397 + 103.627i −4.05175 + 5.08073i
\(417\) −12.3903 27.8093i −0.606756 1.36183i
\(418\) 3.34574 14.6587i 0.163646 0.716979i
\(419\) −19.8129 + 6.11146i −0.967922 + 0.298565i −0.738117 0.674672i \(-0.764285\pi\)
−0.229805 + 0.973237i \(0.573809\pi\)
\(420\) −37.2515 + 13.6622i −1.81769 + 0.666649i
\(421\) 10.3088 + 3.17983i 0.502419 + 0.154976i 0.535597 0.844474i \(-0.320087\pi\)
−0.0331782 + 0.999449i \(0.510563\pi\)
\(422\) −31.7256 + 54.9504i −1.54438 + 2.67494i
\(423\) 14.3183 1.29629i 0.696179 0.0630277i
\(424\) 7.17544 6.65784i 0.348470 0.323333i
\(425\) −0.395412 5.27641i −0.0191803 0.255943i
\(426\) −4.31704 9.68936i −0.209162 0.469451i
\(427\) 9.35527 + 23.3426i 0.452733 + 1.12963i
\(428\) −4.27707 + 10.8978i −0.206740 + 0.526765i
\(429\) 32.3050 + 8.38851i 1.55970 + 0.405001i
\(430\) 12.0347 + 15.0910i 0.580363 + 0.727752i
\(431\) 2.42603 + 32.3731i 0.116858 + 1.55936i 0.680134 + 0.733088i \(0.261921\pi\)
−0.563277 + 0.826268i \(0.690459\pi\)
\(432\) −96.9665 1.37393i −4.66530 0.0661033i
\(433\) −10.1690 + 4.89713i −0.488690 + 0.235341i −0.661968 0.749532i \(-0.730279\pi\)
0.173278 + 0.984873i \(0.444564\pi\)
\(434\) −12.1927 + 3.85703i −0.585266 + 0.185143i
\(435\) 4.55630 + 1.94604i 0.218458 + 0.0933053i
\(436\) 12.4416 5.99158i 0.595846 0.286944i
\(437\) 4.79098 + 4.44538i 0.229184 + 0.212651i
\(438\) 49.9878 26.9166i 2.38851 1.28612i
\(439\) 5.51163 14.0434i 0.263056 0.670255i −0.736928 0.675971i \(-0.763724\pi\)
0.999984 + 0.00571654i \(0.00181964\pi\)
\(440\) 71.3301 3.40053
\(441\) 5.58820 20.2428i 0.266105 0.963944i
\(442\) −22.7432 −1.08178
\(443\) −7.49553 + 19.0983i −0.356124 + 0.907388i 0.634765 + 0.772705i \(0.281097\pi\)
−0.990889 + 0.134683i \(0.956998\pi\)
\(444\) 1.46133 49.2617i 0.0693518 2.33786i
\(445\) 5.64108 + 5.23416i 0.267413 + 0.248123i
\(446\) 59.1066 28.4642i 2.79878 1.34782i
\(447\) 0.247257 + 2.05154i 0.0116948 + 0.0970347i
\(448\) −65.1769 111.041i −3.07932 5.24618i
\(449\) 4.68568 2.25650i 0.221131 0.106491i −0.320039 0.947404i \(-0.603696\pi\)
0.541170 + 0.840913i \(0.317982\pi\)
\(450\) 13.0604 19.8084i 0.615673 0.933777i
\(451\) 0.0981958 + 1.31033i 0.00462386 + 0.0617011i
\(452\) −28.0949 35.2298i −1.32147 1.65707i
\(453\) 18.1407 18.4238i 0.852323 0.865627i
\(454\) −18.9507 + 48.2857i −0.889402 + 2.26616i
\(455\) −16.1701 4.86093i −0.758065 0.227884i
\(456\) −13.2646 + 18.2674i −0.621174 + 0.855447i
\(457\) −0.726391 9.69301i −0.0339791 0.453420i −0.988081 0.153937i \(-0.950805\pi\)
0.954102 0.299483i \(-0.0968143\pi\)
\(458\) 22.2320 20.6283i 1.03884 0.963898i
\(459\) −5.96978 7.70740i −0.278646 0.359751i
\(460\) −23.5261 + 40.7483i −1.09691 + 1.89990i
\(461\) 24.2966 + 7.49451i 1.13161 + 0.349054i 0.803334 0.595529i \(-0.203057\pi\)
0.328272 + 0.944583i \(0.393534\pi\)
\(462\) −33.3285 + 46.5984i −1.55058 + 2.16795i
\(463\) 4.04353 1.24726i 0.187919 0.0579652i −0.199367 0.979925i \(-0.563889\pi\)
0.387286 + 0.921960i \(0.373413\pi\)
\(464\) −8.04605 + 35.2520i −0.373529 + 1.63654i
\(465\) −2.58974 + 3.56645i −0.120096 + 0.165390i
\(466\) 2.85526 3.58039i 0.132268 0.165858i
\(467\) 24.5561 + 22.7848i 1.13632 + 1.05435i 0.997952 + 0.0639720i \(0.0203768\pi\)
0.138370 + 0.990381i \(0.455814\pi\)
\(468\) −60.1842 46.4889i −2.78202 2.14895i
\(469\) 2.04862 + 2.53138i 0.0945964 + 0.116888i
\(470\) 18.9605 + 5.84855i 0.874585 + 0.269774i
\(471\) 17.4670 0.789062i 0.804836 0.0363581i
\(472\) −58.8744 + 101.973i −2.70991 + 4.69371i
\(473\) 19.8592 + 6.12575i 0.913127 + 0.281662i
\(474\) 57.3922 + 24.5127i 2.63611 + 1.12590i
\(475\) −1.23915 3.15731i −0.0568563 0.144867i
\(476\) 10.4405 27.1742i 0.478541 1.24553i
\(477\) 1.87356 + 1.95752i 0.0857843 + 0.0896286i
\(478\) −47.9138 14.7795i −2.19153 0.675997i
\(479\) −17.4898 21.9315i −0.799129 1.00208i −0.999749 0.0224068i \(-0.992867\pi\)
0.200620 0.979669i \(-0.435704\pi\)
\(480\) −72.1114 30.7994i −3.29142 1.40579i
\(481\) 13.0762 16.3970i 0.596221 0.747638i
\(482\) 60.7718 + 41.4335i 2.76808 + 1.88725i
\(483\) −10.2980 22.6739i −0.468576 1.03170i
\(484\) 42.9964 29.3145i 1.95438 1.33248i
\(485\) 1.01887 13.5959i 0.0462645 0.617356i
\(486\) −0.0576883 43.7157i −0.00261680 1.98298i
\(487\) −24.9237 16.9927i −1.12940 0.770012i −0.153483 0.988151i \(-0.549049\pi\)
−0.975918 + 0.218139i \(0.930001\pi\)
\(488\) −37.6330 + 95.8874i −1.70357 + 4.34062i
\(489\) −10.2777 + 0.464291i −0.464774 + 0.0209959i
\(490\) 17.7433 22.9170i 0.801560 1.03528i
\(491\) 11.0490 + 19.1374i 0.498633 + 0.863659i 0.999999 0.00157718i \(-0.000502033\pi\)
−0.501365 + 0.865236i \(0.667169\pi\)
\(492\) 0.966936 2.83354i 0.0435928 0.127746i
\(493\) −3.27503 + 1.57717i −0.147500 + 0.0710322i
\(494\) −13.9312 + 4.29720i −0.626793 + 0.193340i
\(495\) 0.305803 + 19.7432i 0.0137448 + 0.887389i
\(496\) −28.9813 13.9567i −1.30130 0.626673i
\(497\) 4.79717 + 3.22044i 0.215182 + 0.144456i
\(498\) −36.4450 22.5082i −1.63314 1.00862i
\(499\) −15.8766 + 19.9086i −0.710733 + 0.891231i −0.997774 0.0666873i \(-0.978757\pi\)
0.287041 + 0.957918i \(0.407328\pi\)
\(500\) 55.9450 38.1427i 2.50194 1.70579i
\(501\) 1.86100 0.367069i 0.0831432 0.0163994i
\(502\) 47.5297 44.1011i 2.12135 1.96833i
\(503\) −2.48058 3.11054i −0.110603 0.138692i 0.723448 0.690379i \(-0.242556\pi\)
−0.834052 + 0.551686i \(0.813985\pi\)
\(504\) 73.5008 44.6871i 3.27398 1.99052i
\(505\) 6.14354 7.70376i 0.273384 0.342813i
\(506\) 5.07702 + 67.7481i 0.225701 + 3.01177i
\(507\) −2.62183 9.49021i −0.116439 0.421475i
\(508\) −15.1117 + 26.1742i −0.670472 + 1.16129i
\(509\) −21.0199 −0.931693 −0.465846 0.884866i \(-0.654250\pi\)
−0.465846 + 0.884866i \(0.654250\pi\)
\(510\) −3.58293 12.9691i −0.158655 0.574282i
\(511\) −15.2695 + 26.8917i −0.675485 + 1.18962i
\(512\) 37.3288 163.548i 1.64972 7.22788i
\(513\) −5.11302 3.59315i −0.225745 0.158642i
\(514\) 41.2848 + 6.22269i 1.82100 + 0.274471i
\(515\) −7.82438 + 9.81146i −0.344783 + 0.432345i
\(516\) −36.1305 30.6090i −1.59056 1.34749i
\(517\) 20.4148 6.29712i 0.897840 0.276947i
\(518\) 18.2231 + 31.0463i 0.800676 + 1.36410i
\(519\) −26.7489 6.94579i −1.17415 0.304886i
\(520\) −34.5816 59.8970i −1.51650 2.62666i
\(521\) 16.8496 + 29.1843i 0.738194 + 1.27859i 0.953308 + 0.302000i \(0.0976543\pi\)
−0.215114 + 0.976589i \(0.569012\pi\)
\(522\) −15.9455 3.38052i −0.697914 0.147961i
\(523\) −2.10965 + 1.43834i −0.0922487 + 0.0628941i −0.608566 0.793503i \(-0.708255\pi\)
0.516317 + 0.856397i \(0.327303\pi\)
\(524\) −10.9412 27.8777i −0.477968 1.21784i
\(525\) −0.290440 + 12.9204i −0.0126758 + 0.563895i
\(526\) 5.50516 14.0269i 0.240036 0.611602i
\(527\) −0.719569 3.15264i −0.0313449 0.137331i
\(528\) −141.382 + 27.8867i −6.15286 + 1.21361i
\(529\) −5.88441 2.83378i −0.255844 0.123208i
\(530\) 1.36626 + 3.48116i 0.0593463 + 0.151212i
\(531\) −28.4772 15.8584i −1.23581 0.688197i
\(532\) 1.26086 18.6180i 0.0546651 0.807194i
\(533\) 1.05270 0.717719i 0.0455975 0.0310879i
\(534\) −21.5402 13.3031i −0.932136 0.575680i
\(535\) −2.16055 2.00469i −0.0934086 0.0866705i
\(536\) −0.996830 + 13.3018i −0.0430565 + 0.574549i
\(537\) 3.82730 0.754909i 0.165160 0.0325767i
\(538\) −7.08199 + 12.2664i −0.305326 + 0.528840i
\(539\) 1.88488 31.1489i 0.0811876 1.34168i
\(540\) 17.0286 41.6434i 0.732793 1.79205i
\(541\) 18.9388 2.85456i 0.814242 0.122727i 0.271297 0.962496i \(-0.412547\pi\)
0.542945 + 0.839768i \(0.317309\pi\)
\(542\) 78.4739 37.7910i 3.37074 1.62326i
\(543\) −6.16359 + 2.21045i −0.264505 + 0.0948597i
\(544\) 51.8330 24.9614i 2.22232 1.07021i
\(545\) 0.259803 + 3.46683i 0.0111287 + 0.148503i
\(546\) 55.2874 + 5.39512i 2.36608 + 0.230890i
\(547\) −2.05260 + 27.3901i −0.0877630 + 1.17112i 0.763297 + 0.646048i \(0.223579\pi\)
−0.851060 + 0.525068i \(0.824040\pi\)
\(548\) 15.0533 + 38.3552i 0.643046 + 1.63845i
\(549\) −26.7016 10.0052i −1.13960 0.427012i
\(550\) 12.8810 32.8202i 0.549247 1.39946i
\(551\) −1.70810 + 1.58488i −0.0727673 + 0.0675182i
\(552\) 32.9439 96.5399i 1.40218 4.10901i
\(553\) −33.5763 + 5.30767i −1.42781 + 0.225705i
\(554\) −2.30420 0.347303i −0.0978962 0.0147555i
\(555\) 11.4102 + 4.87341i 0.484338 + 0.206865i
\(556\) 22.9377 + 100.497i 0.972777 + 4.26201i
\(557\) −6.68739 11.5829i −0.283354 0.490783i 0.688855 0.724899i \(-0.258114\pi\)
−0.972209 + 0.234116i \(0.924780\pi\)
\(558\) 6.08842 13.1603i 0.257743 0.557120i
\(559\) −4.48405 19.6459i −0.189655 0.830934i
\(560\) 72.0084 11.3829i 3.04291 0.481016i
\(561\) −11.0535 9.36430i −0.466679 0.395361i
\(562\) −16.1541 + 70.7756i −0.681419 + 2.98549i
\(563\) −9.53071 24.2838i −0.401671 1.02344i −0.978439 0.206534i \(-0.933782\pi\)
0.576768 0.816908i \(-0.304314\pi\)
\(564\) −48.4126 5.07545i −2.03854 0.213715i
\(565\) 10.8403 3.34380i 0.456056 0.140675i
\(566\) −14.7158 + 64.4742i −0.618552 + 2.71005i
\(567\) 12.6839 + 20.1524i 0.532672 + 0.846322i
\(568\) 5.26643 + 23.0737i 0.220975 + 0.968153i
\(569\) 1.67151 + 2.89513i 0.0700732 + 0.121370i 0.898933 0.438086i \(-0.144343\pi\)
−0.828860 + 0.559456i \(0.811010\pi\)
\(570\) −4.64514 7.26717i −0.194564 0.304388i
\(571\) 33.3495 + 10.2870i 1.39563 + 0.430496i 0.899185 0.437569i \(-0.144160\pi\)
0.496450 + 0.868065i \(0.334637\pi\)
\(572\) −101.816 49.0321i −4.25715 2.05013i
\(573\) −13.1337 29.4778i −0.548667 1.23145i
\(574\) 0.501945 + 2.12859i 0.0209508 + 0.0888457i
\(575\) 9.55537 + 11.9821i 0.398486 + 0.499686i
\(576\) 142.821 + 30.2787i 5.95087 + 1.26161i
\(577\) 1.20872 3.07976i 0.0503196 0.128212i −0.903504 0.428580i \(-0.859014\pi\)
0.953824 + 0.300368i \(0.0971094\pi\)
\(578\) −34.0590 16.4019i −1.41667 0.682231i
\(579\) −26.0828 + 35.9199i −1.08397 + 1.49278i
\(580\) −13.8603 9.44979i −0.575518 0.392381i
\(581\) 23.3315 0.167540i 0.967956 0.00695074i
\(582\) 5.36715 + 44.5325i 0.222476 + 1.84593i
\(583\) 3.32684 + 2.26820i 0.137784 + 0.0939394i
\(584\) −121.044 + 37.3371i −5.00883 + 1.54502i
\(585\) 16.4304 9.82848i 0.679314 0.406358i
\(586\) −3.80327 + 0.573251i −0.157112 + 0.0236808i
\(587\) −16.3032 + 28.2379i −0.672903 + 1.16550i 0.304174 + 0.952617i \(0.401620\pi\)
−0.977077 + 0.212886i \(0.931714\pi\)
\(588\) −31.8266 + 63.5822i −1.31251 + 2.62209i
\(589\) −1.03644 1.79517i −0.0427058 0.0739685i
\(590\) −28.0482 35.1713i −1.15473 1.44798i
\(591\) 3.21037 + 1.98270i 0.132057 + 0.0815573i
\(592\) −20.1495 + 88.2809i −0.828141 + 3.62832i
\(593\) −1.85475 + 24.7499i −0.0761653 + 1.01636i 0.819921 + 0.572476i \(0.194017\pi\)
−0.896087 + 0.443879i \(0.853602\pi\)
\(594\) −13.5565 63.5310i −0.556231 2.60671i
\(595\) 5.40808 + 4.94618i 0.221710 + 0.202773i
\(596\) 0.522849 6.97693i 0.0214167 0.285786i
\(597\) −6.21406 13.9471i −0.254325 0.570817i
\(598\) 54.4278 37.1082i 2.22572 1.51747i
\(599\) −32.8485 + 4.95112i −1.34215 + 0.202297i −0.780542 0.625103i \(-0.785057\pi\)
−0.561612 + 0.827401i \(0.689819\pi\)
\(600\) −37.1415 + 37.7212i −1.51629 + 1.53996i
\(601\) 19.3645 2.91873i 0.789896 0.119058i 0.258310 0.966062i \(-0.416834\pi\)
0.531586 + 0.847004i \(0.321596\pi\)
\(602\) 34.2393 + 4.90956i 1.39549 + 0.200099i
\(603\) −3.68602 0.218882i −0.150106 0.00891356i
\(604\) −72.3322 + 49.3153i −2.94316 + 2.00661i
\(605\) 2.91527 + 12.7726i 0.118523 + 0.519281i
\(606\) −14.9251 + 28.7770i −0.606292 + 1.16898i
\(607\) 11.4937 0.466516 0.233258 0.972415i \(-0.425061\pi\)
0.233258 + 0.972415i \(0.425061\pi\)
\(608\) 27.0336 25.0835i 1.09636 1.01727i
\(609\) 8.33554 3.05711i 0.337773 0.123880i
\(610\) −28.8486 26.7676i −1.16805 1.08379i
\(611\) −15.1851 14.0897i −0.614323 0.570008i
\(612\) 14.7808 + 29.5143i 0.597477 + 1.19305i
\(613\) 24.1943 + 3.64670i 0.977198 + 0.147289i 0.618176 0.786040i \(-0.287872\pi\)
0.359023 + 0.933329i \(0.383110\pi\)
\(614\) 17.5978 5.42819i 0.710188 0.219064i
\(615\) 0.575115 + 0.487226i 0.0231909 + 0.0196468i
\(616\) 93.0748 87.6129i 3.75009 3.53002i
\(617\) 33.4881 31.0724i 1.34818 1.25093i 0.406828 0.913505i \(-0.366635\pi\)
0.941353 0.337424i \(-0.109556\pi\)
\(618\) 19.0086 36.6502i 0.764637 1.47429i
\(619\) 11.2105 0.450589 0.225295 0.974291i \(-0.427666\pi\)
0.225295 + 0.974291i \(0.427666\pi\)
\(620\) 10.9395 10.1504i 0.439342 0.407650i
\(621\) 26.8621 + 8.70452i 1.07794 + 0.349301i
\(622\) 59.7865 74.9699i 2.39722 3.00602i
\(623\) 13.7897 0.0990219i 0.552473 0.00396723i
\(624\) 91.9604 + 105.201i 3.68136 + 4.21141i
\(625\) 0.655465 + 2.87178i 0.0262186 + 0.114871i
\(626\) −18.8619 + 2.84298i −0.753875 + 0.113628i
\(627\) −8.54007 3.64754i −0.341058 0.145669i
\(628\) −58.5397 8.82345i −2.33599 0.352094i
\(629\) −8.20158 + 3.94967i −0.327018 + 0.157484i
\(630\) 5.63339 + 32.3772i 0.224440 + 1.28994i
\(631\) 17.8884 + 8.61459i 0.712125 + 0.342942i 0.754626 0.656155i \(-0.227818\pi\)
−0.0425008 + 0.999096i \(0.513533\pi\)
\(632\) −115.047 78.4375i −4.57631 3.12008i
\(633\) 29.9013 + 25.3318i 1.18847 + 1.00685i
\(634\) 2.48363 33.1417i 0.0986374 1.31622i
\(635\) −4.74409 5.94890i −0.188263 0.236075i
\(636\) −4.94109 7.73017i −0.195927 0.306521i
\(637\) −27.0700 + 13.5185i −1.07255 + 0.535624i
\(638\) −24.2215 −0.958938
\(639\) −6.36391 + 1.55660i −0.251752 + 0.0615779i
\(640\) 91.6713 + 62.5004i 3.62363 + 2.47055i
\(641\) −7.81652 + 34.2464i −0.308734 + 1.35265i 0.547821 + 0.836596i \(0.315458\pi\)
−0.856555 + 0.516056i \(0.827400\pi\)
\(642\) 8.24996 + 5.09511i 0.325600 + 0.201088i
\(643\) −2.52668 33.7163i −0.0996427 1.32964i −0.793078 0.609121i \(-0.791523\pi\)
0.693435 0.720519i \(-0.256096\pi\)
\(644\) 19.3522 + 82.0668i 0.762585 + 3.23388i
\(645\) 10.4965 5.65199i 0.413300 0.222547i
\(646\) 6.25724 + 0.943127i 0.246188 + 0.0371068i
\(647\) 1.62631 + 21.7016i 0.0639370 + 0.853180i 0.933321 + 0.359043i \(0.116897\pi\)
−0.869384 + 0.494137i \(0.835484\pi\)
\(648\) −18.7485 + 95.7177i −0.736510 + 3.76015i
\(649\) −46.2842 14.2768i −1.81681 0.560413i
\(650\) −33.8045 + 5.09521i −1.32592 + 0.199850i
\(651\) 1.00137 + 7.83458i 0.0392466 + 0.307061i
\(652\) 34.4452 + 5.19179i 1.34898 + 0.203326i
\(653\) −11.2138 5.40030i −0.438832 0.211330i 0.201405 0.979508i \(-0.435449\pi\)
−0.640236 + 0.768178i \(0.721164\pi\)
\(654\) −3.04573 11.0246i −0.119097 0.431096i
\(655\) 7.53958 0.294596
\(656\) −2.75051 + 4.76402i −0.107389 + 0.186004i
\(657\) −10.8533 33.3432i −0.423428 1.30084i
\(658\) 31.9242 15.6573i 1.24454 0.610385i
\(659\) −0.593464 0.550655i −0.0231181 0.0214505i 0.668529 0.743686i \(-0.266924\pi\)
−0.691647 + 0.722236i \(0.743115\pi\)
\(660\) 11.9202 65.7843i 0.463991 2.56065i
\(661\) −3.56986 9.09586i −0.138851 0.353788i 0.844486 0.535578i \(-0.179906\pi\)
−0.983337 + 0.181790i \(0.941811\pi\)
\(662\) 2.71641 + 6.92129i 0.105576 + 0.269004i
\(663\) −2.50450 + 13.8217i −0.0972669 + 0.536791i
\(664\) 70.0592 + 65.0055i 2.71883 + 2.52270i
\(665\) 4.24723 + 2.00792i 0.164701 + 0.0778637i
\(666\) −39.9319 8.46576i −1.54733 0.328041i
\(667\) 5.26428 9.11800i 0.203834 0.353050i
\(668\) −6.42247 −0.248493
\(669\) −10.7897 39.0554i −0.417153 1.50997i
\(670\) −4.59150 2.21115i −0.177385 0.0854242i
\(671\) −41.8992 6.31529i −1.61750 0.243799i
\(672\) −131.924 + 48.3841i −5.08909 + 1.86646i
\(673\) −35.0866 + 5.28845i −1.35249 + 0.203855i −0.784984 0.619516i \(-0.787329\pi\)
−0.567504 + 0.823371i \(0.692091\pi\)
\(674\) −20.9556 6.46394i −0.807179 0.248982i
\(675\) −10.5999 10.1185i −0.407992 0.389462i
\(676\) 2.49121 + 33.2430i 0.0958160 + 1.27858i
\(677\) 11.2681 + 1.69840i 0.433069 + 0.0652747i 0.361960 0.932194i \(-0.382108\pi\)
0.0711098 + 0.997468i \(0.477346\pi\)
\(678\) −32.8608 + 17.6944i −1.26201 + 0.679548i
\(679\) −15.3700 18.9920i −0.589846 0.728845i
\(680\) 2.24340 + 29.9361i 0.0860305 + 1.14800i
\(681\) 27.2578 + 16.8342i 1.04452 + 0.645088i
\(682\) 4.79478 21.0073i 0.183601 0.804411i
\(683\) −29.1663 19.8853i −1.11602 0.760889i −0.142568 0.989785i \(-0.545536\pi\)
−0.973451 + 0.228896i \(0.926488\pi\)
\(684\) 14.6304 + 15.2860i 0.559408 + 0.584477i
\(685\) −10.3732 −0.396341
\(686\) −4.99603 51.6967i −0.190749 1.97379i
\(687\) −10.0882 15.7827i −0.384890 0.602147i
\(688\) 54.2466 + 68.0231i 2.06813 + 2.59336i
\(689\) 0.291759 3.89325i 0.0111151 0.148321i
\(690\) 29.7352 + 25.1910i 1.13200 + 0.959006i
\(691\) 14.2125 + 9.68994i 0.540670 + 0.368623i 0.802650 0.596451i \(-0.203423\pi\)
−0.261979 + 0.965073i \(0.584375\pi\)
\(692\) 84.3050 + 40.5991i 3.20479 + 1.54335i
\(693\) 24.6491 + 25.3862i 0.936340 + 0.964342i
\(694\) 39.8227 19.1776i 1.51165 0.727972i
\(695\) −25.6615 3.86785i −0.973397 0.146716i
\(696\) 33.4447 + 14.2845i 1.26772 + 0.541454i
\(697\) −0.546838 + 0.0824225i −0.0207130 + 0.00312197i
\(698\) 0.0789113 + 0.345733i 0.00298684 + 0.0130862i
\(699\) −1.86148 2.12951i −0.0704078 0.0805453i
\(700\) 9.43044 42.7295i 0.356437 1.61502i
\(701\) 8.46232 10.6114i 0.319617 0.400788i −0.595905 0.803055i \(-0.703206\pi\)
0.915522 + 0.402268i \(0.131778\pi\)
\(702\) −46.7757 + 42.1841i −1.76543 + 1.59214i
\(703\) −4.27755 + 3.96898i −0.161331 + 0.149693i
\(704\) 216.948 8.17653
\(705\) 5.64230 10.8788i 0.212501 0.409721i
\(706\) −75.3655 + 69.9289i −2.83642 + 2.63181i
\(707\) −1.44595 17.5982i −0.0543805 0.661848i
\(708\) 84.2065 + 71.3380i 3.16467 + 2.68105i
\(709\) −26.3762 + 8.13598i −0.990579 + 0.305553i −0.747361 0.664419i \(-0.768679\pi\)
−0.243218 + 0.969972i \(0.578203\pi\)
\(710\) −8.94102 1.34764i −0.335551 0.0505761i
\(711\) 21.2172 32.1796i 0.795706 1.20683i
\(712\) 41.4073 + 38.4204i 1.55181 + 1.43987i
\(713\) 6.86594 + 6.37066i 0.257132 + 0.238583i
\(714\) −20.6048 12.5219i −0.771116 0.468620i
\(715\) 20.8556 19.3512i 0.779955 0.723692i
\(716\) −13.2084 −0.493619
\(717\) −14.2582 + 27.4912i −0.532484 + 1.02668i
\(718\) 7.87037 + 34.4824i 0.293720 + 1.28687i
\(719\) 20.7361 14.1376i 0.773325 0.527244i −0.111165 0.993802i \(-0.535458\pi\)
0.884491 + 0.466558i \(0.154506\pi\)
\(720\) −45.5027 + 69.0129i −1.69579 + 2.57196i
\(721\) 1.84155 + 22.4129i 0.0685830 + 0.834702i
\(722\) −48.6768 + 7.33685i −1.81156 + 0.273049i
\(723\) 31.8727 32.3702i 1.18536 1.20386i
\(724\) 21.9229 3.30434i 0.814756 0.122805i
\(725\) −4.51452 + 3.07795i −0.167665 + 0.114312i
\(726\) −17.5414 39.3706i −0.651022 1.46118i
\(727\) 1.09552 14.6187i 0.0406305 0.542176i −0.939334 0.343004i \(-0.888556\pi\)
0.979964 0.199172i \(-0.0638254\pi\)
\(728\) −118.694 35.6808i −4.39908 1.32242i
\(729\) −26.5737 4.77896i −0.984211 0.176999i
\(730\) 3.61654 48.2594i 0.133854 1.78616i
\(731\) −1.94629 + 8.52725i −0.0719861 + 0.315392i
\(732\) 82.1434 + 50.7311i 3.03611 + 1.87508i
\(733\) −0.726242 0.910678i −0.0268243 0.0336367i 0.768238 0.640164i \(-0.221134\pi\)
−0.795063 + 0.606527i \(0.792562\pi\)
\(734\) −3.53547 6.12361i −0.130497 0.226027i
\(735\) −11.9734 13.3068i −0.441646 0.490828i
\(736\) −83.3163 + 144.308i −3.07108 + 5.31927i
\(737\) −5.42576 + 0.817801i −0.199860 + 0.0301241i
\(738\) −2.16651 1.20649i −0.0797503 0.0444115i
\(739\) 22.3987 6.90908i 0.823949 0.254155i 0.146020 0.989282i \(-0.453354\pi\)
0.677929 + 0.735127i \(0.262877\pi\)
\(740\) −34.7100 23.6649i −1.27597 0.869939i
\(741\) 1.07742 + 8.93960i 0.0395800 + 0.328405i
\(742\) 6.05858 + 2.86425i 0.222417 + 0.105150i
\(743\) −19.7075 13.4364i −0.723000 0.492933i 0.145041 0.989426i \(-0.453669\pi\)
−0.868041 + 0.496493i \(0.834621\pi\)
\(744\) −19.0095 + 26.1789i −0.696923 + 0.959765i
\(745\) 1.58698 + 0.764249i 0.0581424 + 0.0279999i
\(746\) −10.8797 + 27.7210i −0.398334 + 1.01494i
\(747\) −17.6923 + 19.6701i −0.647326 + 0.719692i
\(748\) 30.5825 + 38.3492i 1.11821 + 1.40219i
\(749\) −5.28150 + 0.0379256i −0.192982 + 0.00138577i
\(750\) −22.8241 51.2273i −0.833417 1.87056i
\(751\) 27.8876 + 13.4300i 1.01763 + 0.490067i 0.866886 0.498506i \(-0.166118\pi\)
0.150747 + 0.988572i \(0.451832\pi\)
\(752\) 85.4653 + 26.3626i 3.11660 + 0.961343i
\(753\) −21.5675 33.7417i −0.785965 1.22961i
\(754\) 11.7428 + 20.3392i 0.427649 + 0.740710i
\(755\) −4.90431 21.4872i −0.178486 0.781999i
\(756\) −28.9298 75.2540i −1.05217 2.73696i
\(757\) −9.31546 + 40.8137i −0.338576 + 1.48340i 0.463457 + 0.886119i \(0.346609\pi\)
−0.802033 + 0.597279i \(0.796248\pi\)
\(758\) 79.5511 24.5383i 2.88942 0.891269i
\(759\) 41.7316 + 4.37504i 1.51476 + 0.158804i
\(760\) 7.03044 + 17.9133i 0.255021 + 0.649783i
\(761\) 6.43461 28.1919i 0.233255 1.02195i −0.713666 0.700486i \(-0.752966\pi\)
0.946920 0.321469i \(-0.104176\pi\)
\(762\) 19.1000 + 16.1811i 0.691921 + 0.586181i
\(763\) 4.59722 + 4.20457i 0.166431 + 0.152216i
\(764\) 24.3139 + 106.526i 0.879647 + 3.85398i
\(765\) −8.27628 + 0.749283i −0.299230 + 0.0270904i
\(766\) −43.1147 74.6768i −1.55780 2.69818i
\(767\) 10.4506 + 45.7872i 0.377350 + 1.65328i
\(768\) −180.649 77.1567i −6.51861 2.78415i
\(769\) 21.9861 + 3.31387i 0.792840 + 0.119501i 0.532961 0.846140i \(-0.321079\pi\)
0.259879 + 0.965641i \(0.416317\pi\)
\(770\) 18.1674 + 45.3300i 0.654708 + 1.63358i
\(771\) 8.32804 24.4048i 0.299927 0.878917i
\(772\) 110.179 102.231i 3.96541 3.67937i
\(773\) 2.48146 6.32264i 0.0892517